diff --git a/.travis.yml b/.travis.yml
index c258d8aa29..d4f8e325b9 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -12,6 +12,6 @@ deploy:
   provider: npm
   email: manager@mathjax.org
   api_key:
-    secure: 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
+    secure: VbG6GALVGUCeZKhaqpR1JD70ZWC20NyTSyue9htlmLMhrw02JR/5Bi7mZDZrnvAqo8gSO6MGE6lbbaBBI5u42iklNHFYg+RTeEF7CafoVBSC7QeNNdkpDJyeEQ+zEAWKv4/oOcqH9logQBJoW+iT9xHlyVIZxmEYG9ptWYzouWk=
   on:
     tags: true
diff --git a/MathJax.js b/MathJax.js
index 8ba8735210..e844af1bf6 100644
--- a/MathJax.js
+++ b/MathJax.js
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-if(document.getElementById&&document.childNodes&&document.createElement){if(!(window.MathJax&&MathJax.Hub)){if(window.MathJax){window.MathJax={AuthorConfig:window.MathJax}}else{window.MathJax={}}MathJax.isPacked=true;MathJax.version="2.7.6";MathJax.fileversion="2.7.6";MathJax.cdnVersion="2.7.6";MathJax.cdnFileVersions={};(function(d){var b=window[d];if(!b){b=window[d]={}}var e=[];var c=function(f){var g=f.constructor;if(!g){g=function(){}}for(var h in f){if(h!=="constructor"&&f.hasOwnProperty(h)){g[h]=f[h]}}return g};var a=function(){return function(){return arguments.callee.Init.call(this,arguments)}};b.Object=c({constructor:a(),Subclass:function(f,h){var g=a();g.SUPER=this;g.Init=this.Init;g.Subclass=this.Subclass;g.Augment=this.Augment;g.protoFunction=this.protoFunction;g.can=this.can;g.has=this.has;g.isa=this.isa;g.prototype=new this(e);g.prototype.constructor=g;g.Augment(f,h);return g},Init:function(f){var g=this;if(f.length===1&&f[0]===e){return g}if(!(g instanceof f.callee)){g=new f.callee(e)}return g.Init.apply(g,f)||g},Augment:function(f,g){var h;if(f!=null){for(h in f){if(f.hasOwnProperty(h)){this.protoFunction(h,f[h])}}if(f.toString!==this.prototype.toString&&f.toString!=={}.toString){this.protoFunction("toString",f.toString)}}if(g!=null){for(h in g){if(g.hasOwnProperty(h)){this[h]=g[h]}}}return this},protoFunction:function(g,f){this.prototype[g]=f;if(typeof f==="function"){f.SUPER=this.SUPER.prototype}},prototype:{Init:function(){},SUPER:function(f){return f.callee.SUPER},can:function(f){return typeof(this[f])==="function"},has:function(f){return typeof(this[f])!=="undefined"},isa:function(f){return(f instanceof Object)&&(this instanceof f)}},can:function(f){return this.prototype.can.call(this,f)},has:function(f){return this.prototype.has.call(this,f)},isa:function(g){var f=this;while(f){if(f===g){return true}else{f=f.SUPER}}return false},SimpleSUPER:c({constructor:function(f){return this.SimpleSUPER.define(f)},define:function(f){var h={};if(f!=null){for(var g in f){if(f.hasOwnProperty(g)){h[g]=this.wrap(g,f[g])}}if(f.toString!==this.prototype.toString&&f.toString!=={}.toString){h.toString=this.wrap("toString",f.toString)}}return h},wrap:function(i,h){if(typeof(h)!=="function"||!h.toString().match(/\.\s*SUPER\s*\(/)){return h}var g=function(){this.SUPER=g.SUPER[i];try{var f=h.apply(this,arguments)}catch(j){delete this.SUPER;throw j}delete this.SUPER;return f};g.toString=function(){return h.toString.apply(h,arguments)};return g}})});b.Object.isArray=Array.isArray||function(f){return Object.prototype.toString.call(f)==="[object Array]"};b.Object.Array=Array})("MathJax");(function(BASENAME){var BASE=window[BASENAME];if(!BASE){BASE=window[BASENAME]={}}var isArray=BASE.Object.isArray;var CALLBACK=function(data){var cb=function(){return arguments.callee.execute.apply(arguments.callee,arguments)};for(var id in CALLBACK.prototype){if(CALLBACK.prototype.hasOwnProperty(id)){if(typeof(data[id])!=="undefined"){cb[id]=data[id]}else{cb[id]=CALLBACK.prototype[id]}}}cb.toString=CALLBACK.prototype.toString;return cb};CALLBACK.prototype={isCallback:true,hook:function(){},data:[],object:window,execute:function(){if(!this.called||this.autoReset){this.called=!this.autoReset;return this.hook.apply(this.object,this.data.concat([].slice.call(arguments,0)))}},reset:function(){delete this.called},toString:function(){return this.hook.toString.apply(this.hook,arguments)}};var ISCALLBACK=function(f){return(typeof(f)==="function"&&f.isCallback)};var EVAL=function(code){return eval.call(window,code)};var TESTEVAL=function(){EVAL("var __TeSt_VaR__ = 1");if(window.__TeSt_VaR__){try{delete window.__TeSt_VaR__}catch(error){window.__TeSt_VaR__=null}}else{if(window.execScript){EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";window.execScript(code);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}else{EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";var head=(document.getElementsByTagName("head"))[0];if(!head){head=document.body}var script=document.createElement("script");script.appendChild(document.createTextNode(code));head.appendChild(script);head.removeChild(script);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}}TESTEVAL=null};var USING=function(args,i){if(arguments.length>1){if(arguments.length===2&&!(typeof arguments[0]==="function")&&arguments[0] instanceof Object&&typeof arguments[1]==="number"){args=[].slice.call(args,i)}else{args=[].slice.call(arguments,0)}}if(isArray(args)&&args.length===1&&typeof(args[0])==="function"){args=args[0]}if(typeof args==="function"){if(args.execute===CALLBACK.prototype.execute){return args}return CALLBACK({hook:args})}else{if(isArray(args)){if(typeof(args[0])==="string"&&args[1] instanceof Object&&typeof args[1][args[0]]==="function"){return CALLBACK({hook:args[1][args[0]],object:args[1],data:args.slice(2)})}else{if(typeof args[0]==="function"){return CALLBACK({hook:args[0],data:args.slice(1)})}else{if(typeof args[1]==="function"){return CALLBACK({hook:args[1],object:args[0],data:args.slice(2)})}}}}else{if(typeof(args)==="string"){if(TESTEVAL){TESTEVAL()}return CALLBACK({hook:EVAL,data:[args]})}else{if(args instanceof Object){return CALLBACK(args)}else{if(typeof(args)==="undefined"){return CALLBACK({})}}}}}throw Error("Can't make callback from given data")};var DELAY=function(time,callback){callback=USING(callback);callback.timeout=setTimeout(callback,time);return callback};var WAITFOR=function(callback,signal){callback=USING(callback);if(!callback.called){WAITSIGNAL(callback,signal);signal.pending++}};var WAITEXECUTE=function(){var signals=this.signal;delete this.signal;this.execute=this.oldExecute;delete this.oldExecute;var result=this.execute.apply(this,arguments);if(ISCALLBACK(result)&&!result.called){WAITSIGNAL(result,signals)}else{for(var i=0,m=signals.length;i<m;i++){signals[i].pending--;if(signals[i].pending<=0){signals[i].call()}}}};var WAITSIGNAL=function(callback,signals){if(!isArray(signals)){signals=[signals]}if(!callback.signal){callback.oldExecute=callback.execute;callback.execute=WAITEXECUTE;callback.signal=signals}else{if(signals.length===1){callback.signal.push(signals[0])}else{callback.signal=callback.signal.concat(signals)}}};var AFTER=function(callback){callback=USING(callback);callback.pending=0;for(var i=1,m=arguments.length;i<m;i++){if(arguments[i]){WAITFOR(arguments[i],callback)}}if(callback.pending===0){var result=callback();if(ISCALLBACK(result)){callback=result}}return callback};var HOOKS=MathJax.Object.Subclass({Init:function(reset){this.hooks=[];this.remove=[];this.reset=reset;this.running=false},Add:function(hook,priority){if(priority==null){priority=10}if(!ISCALLBACK(hook)){hook=USING(hook)}hook.priority=priority;var i=this.hooks.length;while(i>0&&priority<this.hooks[i-1].priority){i--}this.hooks.splice(i,0,hook);return hook},Remove:function(hook){for(var i=0,m=this.hooks.length;i<m;i++){if(this.hooks[i]===hook){if(this.running){this.remove.push(i)}else{this.hooks.splice(i,1)}return}}},Execute:function(){var callbacks=[{}];this.running=true;for(var i=0,m=this.hooks.length;i<m;i++){if(this.reset){this.hooks[i].reset()}var result=this.hooks[i].apply(window,arguments);if(ISCALLBACK(result)&&!result.called){callbacks.push(result)}}this.running=false;if(this.remove.length){this.RemovePending()}if(callbacks.length===1){return null}if(callbacks.length===2){return callbacks[1]}return AFTER.apply({},callbacks)},RemovePending:function(){this.remove=this.remove.sort();for(var i=this.remove.length-1;i>=0;i--){this.hooks.splice(i,1)}this.remove=[]}});var EXECUTEHOOKS=function(hooks,data,reset){if(!hooks){return null}if(!isArray(hooks)){hooks=[hooks]}if(!isArray(data)){data=(data==null?[]:[data])}var handler=HOOKS(reset);for(var i=0,m=hooks.length;i<m;i++){handler.Add(hooks[i])}return handler.Execute.apply(handler,data)};var QUEUE=BASE.Object.Subclass({Init:function(){this.pending=this.running=0;this.queue=[];this.Push.apply(this,arguments)},Push:function(){var callback;for(var i=0,m=arguments.length;i<m;i++){callback=USING(arguments[i]);if(callback===arguments[i]&&!callback.called){callback=USING(["wait",this,callback])}this.queue.push(callback)}if(!this.running&&!this.pending){this.Process()}return callback},Process:function(queue){while(!this.running&&!this.pending&&this.queue.length){var callback=this.queue[0];queue=this.queue.slice(1);this.queue=[];this.Suspend();var result=callback();this.Resume();if(queue.length){this.queue=queue.concat(this.queue)}if(ISCALLBACK(result)&&!result.called){WAITFOR(result,this)}}},Suspend:function(){this.running++},Resume:function(){if(this.running){this.running--}},call:function(){this.Process.apply(this,arguments)},wait:function(callback){return callback}});var SIGNAL=QUEUE.Subclass({Init:function(name){QUEUE.prototype.Init.call(this);this.name=name;this.posted=[];this.listeners=HOOKS(true);this.posting=false;this.callback=null},Post:function(message,callback,forget){callback=USING(callback);if(this.posting||this.pending){this.Push(["Post",this,message,callback,forget])}else{this.callback=callback;callback.reset();if(!forget){this.posted.push(message)}this.Suspend();this.posting=true;var result=this.listeners.Execute(message);if(ISCALLBACK(result)&&!result.called){WAITFOR(result,this)}this.Resume();this.posting=false;if(!this.pending){this.call()}}return callback},Clear:function(callback){callback=USING(callback);if(this.posting||this.pending){callback=this.Push(["Clear",this,callback])}else{this.posted=[];callback()}return callback},call:function(){this.callback(this);this.Process()},Interest:function(callback,ignorePast,priority){callback=USING(callback);this.listeners.Add(callback,priority);if(!ignorePast){for(var i=0,m=this.posted.length;i<m;i++){callback.reset();var result=callback(this.posted[i]);if(ISCALLBACK(result)&&i===this.posted.length-1){WAITFOR(result,this)}}}return callback},NoInterest:function(callback){this.listeners.Remove(callback)},MessageHook:function(msg,callback,priority){callback=USING(callback);if(!this.hooks){this.hooks={};this.Interest(["ExecuteHooks",this])}if(!this.hooks[msg]){this.hooks[msg]=HOOKS(true)}this.hooks[msg].Add(callback,priority);for(var i=0,m=this.posted.length;i<m;i++){if(this.posted[i]==msg){callback.reset();callback(this.posted[i])}}callback.msg=msg;return callback},ExecuteHooks:function(msg){var type=(isArray(msg)?msg[0]:msg);if(!this.hooks[type]){return null}return this.hooks[type].Execute(msg)},RemoveHook:function(hook){this.hooks[hook.msg].Remove(hook)}},{signals:{},find:function(name){if(!SIGNAL.signals[name]){SIGNAL.signals[name]=new SIGNAL(name)}return SIGNAL.signals[name]}});BASE.Callback=BASE.CallBack=USING;BASE.Callback.Delay=DELAY;BASE.Callback.After=AFTER;BASE.Callback.Queue=QUEUE;BASE.Callback.Signal=SIGNAL.find;BASE.Callback.Hooks=HOOKS;BASE.Callback.ExecuteHooks=EXECUTEHOOKS})("MathJax");(function(e){var a=window[e];if(!a){a=window[e]={}}var d=(navigator.vendor==="Apple Computer, Inc."&&typeof navigator.vendorSub==="undefined");var g=0;var h=function(i){if(document.styleSheets&&document.styleSheets.length>g){g=document.styleSheets.length}if(!i){i=document.head||((document.getElementsByTagName("head"))[0]);if(!i){i=document.body}}return i};var f=[];var c=function(){for(var k=0,j=f.length;k<j;k++){a.Ajax.head.removeChild(f[k])}f=[]};var b={};b[e]="";b.a11y="[MathJax]/extensions/a11y";b.Contrib="https://cdn.mathjax.org/mathjax/contrib";a.Ajax={loaded:{},loading:{},loadHooks:{},timeout:15*1000,styleDelay:1,config:{root:"",path:b},params:{},STATUS:{OK:1,ERROR:-1},fileURL:function(j){var i;while((i=j.match(/^\[([-._a-z0-9]+)\]/i))&&b.hasOwnProperty(i[1])){j=(b[i[1]]||this.config.root)+j.substr(i[1].length+2)}return j},fileName:function(j){var i=this.config.root;if(j.substr(0,i.length)===i){j="["+e+"]"+j.substr(i.length)}do{var k=false;for(var l in b){if(b.hasOwnProperty(l)&&b[l]){if(j.substr(0,b[l].length)===b[l]){j="["+l+"]"+j.substr(b[l].length);k=true;break}}}}while(k);return j},fileRev:function(j){var i=a.cdnFileVersions[j]||a.cdnVersion||"";if(i){i="?V="+i}return i},urlRev:function(i){return this.fileURL(i)+this.fileRev(i)},Require:function(k,n){n=a.Callback(n);var l;if(k instanceof Object){for(var j in k){if(k.hasOwnProperty(j)){l=j.toUpperCase();k=k[j]}}}else{l=k.split(/\./).pop().toUpperCase()}if(this.params.noContrib&&k.substr(0,9)==="[Contrib]"){n(this.STATUS.ERROR)}else{k=this.fileURL(k);if(this.loaded[k]){n(this.loaded[k])}else{var m={};m[l]=k;this.Load(m,n)}}return n},Load:function(k,m){m=a.Callback(m);var l;if(k instanceof Object){for(var j in k){if(k.hasOwnProperty(j)){l=j.toUpperCase();k=k[j]}}}else{l=k.split(/\./).pop().toUpperCase()}k=this.fileURL(k);if(this.loading[k]){this.addHook(k,m)}else{this.head=h(this.head);if(this.loader[l]){this.loader[l].call(this,k,m)}else{throw Error("Can't load files of type "+l)}}return m},LoadHook:function(l,m,k){m=a.Callback(m);if(l instanceof Object){for(var j in l){if(l.hasOwnProperty(j)){l=l[j]}}}l=this.fileURL(l);if(this.loaded[l]){m(this.loaded[l])}else{this.addHook(l,m,k)}return m},addHook:function(j,k,i){if(!this.loadHooks[j]){this.loadHooks[j]=MathJax.Callback.Hooks()}this.loadHooks[j].Add(k,i);k.file=j},removeHook:function(i){if(this.loadHooks[i.file]){this.loadHooks[i.file].Remove(i);if(!this.loadHooks[i.file].hooks.length){delete this.loadHooks[i.file]}}},Preloading:function(){for(var l=0,j=arguments.length;l<j;l++){var k=this.fileURL(arguments[l]);if(!this.loading[k]){this.loading[k]={preloaded:true}}}},loader:{JS:function(k,m){var j=this.fileName(k);var i=document.createElement("script");var l=a.Callback(["loadTimeout",this,k]);this.loading[k]={callback:m,timeout:setTimeout(l,this.timeout),status:this.STATUS.OK,script:i};this.loading[k].message=a.Message.File(j);i.onerror=l;i.type="text/javascript";i.src=k+this.fileRev(j);this.head.appendChild(i)},CSS:function(j,l){var i=this.fileName(j);var k=document.createElement("link");k.rel="stylesheet";k.type="text/css";k.href=j+this.fileRev(i);this.loading[j]={callback:l,message:a.Message.File(i),status:this.STATUS.OK};this.head.appendChild(k);this.timer.create.call(this,[this.timer.file,j],k)}},timer:{create:function(j,i){j=a.Callback(j);if(i.nodeName==="STYLE"&&i.styleSheet&&typeof(i.styleSheet.cssText)!=="undefined"){j(this.STATUS.OK)}else{if(window.chrome&&i.nodeName==="LINK"){j(this.STATUS.OK)}else{if(d){this.timer.start(this,[this.timer.checkSafari2,g++,j],this.styleDelay)}else{this.timer.start(this,[this.timer.checkLength,i,j],this.styleDelay)}}}return j},start:function(j,i,k,l){i=a.Callback(i);i.execute=this.execute;i.time=this.time;i.STATUS=j.STATUS;i.timeout=l||j.timeout;i.delay=i.total=k||0;if(k){setTimeout(i,k)}else{i()}},time:function(i){this.total+=this.delay;this.delay=Math.floor(this.delay*1.05+5);if(this.total>=this.timeout){i(this.STATUS.ERROR);return 1}return 0},file:function(j,i){if(i<0){a.Ajax.loadTimeout(j)}else{a.Ajax.loadComplete(j)}},execute:function(){this.hook.call(this.object,this,this.data[0],this.data[1])},checkSafari2:function(i,j,k){if(i.time(k)){return}if(document.styleSheets.length>j&&document.styleSheets[j].cssRules&&document.styleSheets[j].cssRules.length){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},checkLength:function(i,l,n){if(i.time(n)){return}var m=0;var j=(l.sheet||l.styleSheet);try{if((j.cssRules||j.rules||[]).length>0){m=1}}catch(k){if(k.message.match(/protected variable|restricted URI/)){m=1}else{if(k.message.match(/Security error/)){m=1}}}if(m){setTimeout(a.Callback([n,i.STATUS.OK]),0)}else{setTimeout(i,i.delay)}}},loadComplete:function(i){i=this.fileURL(i);var j=this.loading[i];if(j&&!j.preloaded){a.Message.Clear(j.message);clearTimeout(j.timeout);if(j.script){if(f.length===0){setTimeout(c,0)}f.push(j.script)}this.loaded[i]=j.status;delete this.loading[i];this.addHook(i,j.callback)}else{if(j){delete this.loading[i]}this.loaded[i]=this.STATUS.OK;j={status:this.STATUS.OK}}if(!this.loadHooks[i]){return null}return this.loadHooks[i].Execute(j.status)},loadTimeout:function(i){if(this.loading[i].timeout){clearTimeout(this.loading[i].timeout)}this.loading[i].status=this.STATUS.ERROR;this.loadError(i);this.loadComplete(i)},loadError:function(i){a.Message.Set(["LoadFailed","File failed to load: %1",i],null,2000);a.Hub.signal.Post(["file load error",i])},Styles:function(k,l){var i=this.StyleString(k);if(i===""){l=a.Callback(l);l()}else{var j=document.createElement("style");j.type="text/css";this.head=h(this.head);this.head.appendChild(j);if(j.styleSheet&&typeof(j.styleSheet.cssText)!=="undefined"){j.styleSheet.cssText=i}else{j.appendChild(document.createTextNode(i))}l=this.timer.create.call(this,l,j)}return l},StyleString:function(n){if(typeof(n)==="string"){return n}var k="",o,m;for(o in n){if(n.hasOwnProperty(o)){if(typeof n[o]==="string"){k+=o+" {"+n[o]+"}\n"}else{if(a.Object.isArray(n[o])){for(var l=0;l<n[o].length;l++){m={};m[o]=n[o][l];k+=this.StyleString(m)}}else{if(o.substr(0,6)==="@media"){k+=o+" {"+this.StyleString(n[o])+"}\n"}else{if(n[o]!=null){m=[];for(var j in n[o]){if(n[o].hasOwnProperty(j)){if(n[o][j]!=null){m[m.length]=j+": "+n[o][j]}}}k+=o+" {"+m.join("; ")+"}\n"}}}}}}return k}}})("MathJax");MathJax.HTML={Element:function(d,f,e){var g=document.createElement(d),h;if(f){if(f.hasOwnProperty("style")){var c=f.style;f.style={};for(h in c){if(c.hasOwnProperty(h)){f.style[h.replace(/-([a-z])/g,this.ucMatch)]=c[h]}}}MathJax.Hub.Insert(g,f);for(h in f){if(h==="role"||h.substr(0,5)==="aria-"){g.setAttribute(h,f[h])}}}if(e){if(!MathJax.Object.isArray(e)){e=[e]}for(var b=0,a=e.length;b<a;b++){if(MathJax.Object.isArray(e[b])){g.appendChild(this.Element(e[b][0],e[b][1],e[b][2]))}else{if(d==="script"){this.setScript(g,e[b])}else{g.appendChild(document.createTextNode(e[b]))}}}}return g},ucMatch:function(a,b){return b.toUpperCase()},addElement:function(b,a,d,c){return b.appendChild(this.Element(a,d,c))},TextNode:function(a){return document.createTextNode(a)},addText:function(a,b){return a.appendChild(this.TextNode(b))},setScript:function(a,b){if(this.setScriptBug){a.text=b}else{while(a.firstChild){a.removeChild(a.firstChild)}this.addText(a,b)}},getScript:function(a){var b=(a.text===""?a.innerHTML:a.text);return b.replace(/^\s+/,"").replace(/\s+$/,"")},Cookie:{prefix:"mjx",expires:365,Set:function(a,e){var d=[];if(e){for(var g in e){if(e.hasOwnProperty(g)){d.push(g+":"+e[g].toString().replace(/&/g,"&&"))}}}var b=this.prefix+"."+a+"="+escape(d.join("&;"));if(this.expires){var f=new Date();f.setDate(f.getDate()+this.expires);b+="; expires="+f.toGMTString()}try{document.cookie=b+"; path=/"}catch(c){}},Get:function(a,d){if(!d){d={}}var g=new RegExp("(?:^|;\\s*)"+this.prefix+"\\."+a+"=([^;]*)(?:;|$)");var f;try{f=g.exec(document.cookie)}catch(c){}if(f&&f[1]!==""){var j=unescape(f[1]).split("&;");for(var e=0,b=j.length;e<b;e++){f=j[e].match(/([^:]+):(.*)/);var h=f[2].replace(/&&/g,"&");if(h==="true"){h=true}else{if(h==="false"){h=false}else{if(h.match(/^-?(\d+(\.\d+)?|\.\d+)$/)){h=parseFloat(h)}}}d[f[1]]=h}}return d}}};MathJax.Localization={locale:"en",directory:"[MathJax]/localization",strings:{ar:{menuTitle:"\u0627\u0644\u0639\u0631\u0628\u064A\u0629"},ast:{menuTitle:"asturianu"},bg:{menuTitle:"\u0431\u044A\u043B\u0433\u0430\u0440\u0441\u043A\u0438"},bcc:{menuTitle:"\u0628\u0644\u0648\u0686\u06CC"},br:{menuTitle:"brezhoneg"},ca:{menuTitle:"catal\u00E0"},cdo:{menuTitle:"M\u00ECng-d\u0115\u0324ng-ng\u1E73\u0304"},cs:{menuTitle:"\u010De\u0161tina"},da:{menuTitle:"dansk"},de:{menuTitle:"Deutsch"},diq:{menuTitle:"Zazaki"},en:{menuTitle:"English",isLoaded:true},eo:{menuTitle:"Esperanto"},es:{menuTitle:"espa\u00F1ol"},fa:{menuTitle:"\u0641\u0627\u0631\u0633\u06CC"},fi:{menuTitle:"suomi"},fr:{menuTitle:"fran\u00E7ais"},gl:{menuTitle:"galego"},he:{menuTitle:"\u05E2\u05D1\u05E8\u05D9\u05EA"},ia:{menuTitle:"interlingua"},it:{menuTitle:"italiano"},ja:{menuTitle:"\u65E5\u672C\u8A9E"},kn:{menuTitle:"\u0C95\u0CA8\u0CCD\u0CA8\u0CA1"},ko:{menuTitle:"\uD55C\uAD6D\uC5B4"},lb:{menuTitle:"L\u00EBtzebuergesch"},lki:{menuTitle:"\u0644\u06D5\u06A9\u06CC"},lt:{menuTitle:"lietuvi\u0173"},mk:{menuTitle:"\u043C\u0430\u043A\u0435\u0434\u043E\u043D\u0441\u043A\u0438"},nl:{menuTitle:"Nederlands"},oc:{menuTitle:"occitan"},pl:{menuTitle:"polski"},pt:{menuTitle:"portugu\u00EAs"},"pt-br":{menuTitle:"portugu\u00EAs do Brasil"},ru:{menuTitle:"\u0440\u0443\u0441\u0441\u043A\u0438\u0439"},sco:{menuTitle:"Scots"},scn:{menuTitle:"sicilianu"},sk:{menuTitle:"sloven\u010Dina"},sl:{menuTitle:"sloven\u0161\u010Dina"},sv:{menuTitle:"svenska"},th:{menuTitle:"\u0E44\u0E17\u0E22"},tr:{menuTitle:"T\u00FCrk\u00E7e"},uk:{menuTitle:"\u0443\u043A\u0440\u0430\u0457\u043D\u0441\u044C\u043A\u0430"},vi:{menuTitle:"Ti\u1EBFng Vi\u1EC7t"},"zh-hans":{menuTitle:"\u4E2D\u6587\uFF08\u7B80\u4F53\uFF09"},"zh-hant":{menuTitle:"\u6C49\u8BED"}},pattern:/%(\d+|\{\d+\}|\{[a-z]+:\%\d+(?:\|(?:%\{\d+\}|%.|[^\}])*)+\}|.)/g,SPLIT:("axb".split(/(x)/).length===3?function(a,b){return a.split(b)}:function(c,e){var a=[],b,d=0;e.lastIndex=0;while((b=e.exec(c))){a.push(c.substr(d,b.index-d));a.push.apply(a,b.slice(1));d=b.index+b[0].length}a.push(c.substr(d));return a}),_:function(b,a){if(MathJax.Object.isArray(a)){return this.processSnippet(b,a)}return this.processString(this.lookupPhrase(b,a),[].slice.call(arguments,2))},processString:function(l,p,g){var j,e,o=MathJax.Object.isArray;for(j=0,e=p.length;j<e;j++){if(g&&o(p[j])){p[j]=this.processSnippet(g,p[j])}}var f=this.SPLIT(l,this.pattern);for(j=1,e=f.length;j<e;j+=2){var q=f[j].charAt(0);if(q>="0"&&q<="9"){f[j]=p[f[j]-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{if(q==="{"){q=f[j].substr(1);if(q>="0"&&q<="9"){f[j]=p[f[j].substr(1,f[j].length-2)-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{var k=f[j].match(/^\{([a-z]+):%(\d+)\|(.*)\}$/);if(k){if(k[1]==="plural"){var d=p[k[2]-1];if(typeof d==="undefined"){f[j]="???"}else{d=this.plural(d)-1;var h=k[3].replace(/(^|[^%])(%%)*%\|/g,"$1$2%\uEFEF").split(/\|/);if(d>=0&&d<h.length){f[j]=this.processString(h[d].replace(/\uEFEF/g,"|"),p,g)}else{f[j]="???"}}}else{f[j]="%"+f[j]}}}}}if(f[j]==null){f[j]="???"}}if(!g){return f.join("")}var a=[],b="";for(j=0;j<e;j++){b+=f[j];j++;if(j<e){if(o(f[j])){a.push(b);a=a.concat(f[j]);b=""}else{b+=f[j]}}}if(b!==""){a.push(b)}return a},processSnippet:function(g,e){var c=[];for(var d=0,b=e.length;d<b;d++){if(MathJax.Object.isArray(e[d])){var f=e[d];if(typeof f[1]==="string"){var h=f[0];if(!MathJax.Object.isArray(h)){h=[g,h]}var a=this.lookupPhrase(h,f[1]);c=c.concat(this.processMarkdown(a,f.slice(2),g))}else{if(MathJax.Object.isArray(f[1])){c=c.concat(this.processSnippet.apply(this,f))}else{if(f.length>=3){c.push([f[0],f[1],this.processSnippet(g,f[2])])}else{c.push(e[d])}}}}else{c.push(e[d])}}return c},markdownPattern:/(%.)|(\*{1,3})((?:%.|.)+?)\2|(`+)((?:%.|.)+?)\4|\[((?:%.|.)+?)\]\(([^\s\)]+)\)/,processMarkdown:function(b,h,d){var j=[],e;var c=b.split(this.markdownPattern);var g=c[0];for(var f=1,a=c.length;f<a;f+=8){if(c[f+1]){e=this.processString(c[f+2],h,d);if(!MathJax.Object.isArray(e)){e=[e]}e=[["b","i","i"][c[f+1].length-1],{},e];if(c[f+1].length===3){e=["b",{},e]}}else{if(c[f+3]){e=this.processString(c[f+4].replace(/^\s/,"").replace(/\s$/,""),h,d);if(!MathJax.Object.isArray(e)){e=[e]}e=["code",{},e]}else{if(c[f+5]){e=this.processString(c[f+5],h,d);if(!MathJax.Object.isArray(e)){e=[e]}e=["a",{href:this.processString(c[f+6],h),target:"_blank"},e]}else{g+=c[f];e=null}}}if(e){j=this.concatString(j,g,h,d);j.push(e);g=""}if(c[f+7]!==""){g+=c[f+7]}}j=this.concatString(j,g,h,d);return j},concatString:function(a,c,b,d){if(c!=""){c=this.processString(c,b,d);if(!MathJax.Object.isArray(c)){c=[c]}a=a.concat(c)}return a},lookupPhrase:function(f,a,d){if(!d){d="_"}if(MathJax.Object.isArray(f)){d=(f[0]||"_");f=(f[1]||"")}var c=this.loadDomain(d);if(c){MathJax.Hub.RestartAfter(c)}var b=this.strings[this.locale];if(b){if(b.domains&&d in b.domains){var e=b.domains[d];if(e.strings&&f in e.strings){a=e.strings[f]}}}return a},loadFile:function(b,d,e){e=MathJax.Callback(e);b=(d.file||b);if(!b.match(/\.js$/)){b+=".js"}if(!b.match(/^([a-z]+:|\[MathJax\])/)){var a=(this.strings[this.locale].directory||this.directory+"/"+this.locale||"[MathJax]/localization/"+this.locale);b=a+"/"+b}var c=MathJax.Ajax.Require(b,function(){d.isLoaded=true;return e()});return(c.called?null:c)},loadDomain:function(c,e){var b,a=this.strings[this.locale];if(a){if(!a.isLoaded){b=this.loadFile(this.locale,a);if(b){return MathJax.Callback.Queue(b,["loadDomain",this,c]).Push(e||{})}}if(a.domains&&c in a.domains){var d=a.domains[c];if(!d.isLoaded){b=this.loadFile(c,d);if(b){return MathJax.Callback.Queue(b).Push(e)}}}}return MathJax.Callback(e)()},Try:function(a){a=MathJax.Callback(a);a.autoReset=true;try{a()}catch(b){if(!b.restart){throw b}MathJax.Callback.After(["Try",this,a],b.restart)}},resetLocale:function(a){if(!a){return}a=a.toLowerCase();while(!this.strings[a]){var c=a.lastIndexOf("-");if(c===-1){return}a=a.substring(0,c)}var b=this.strings[a].remap;this.locale=b?b:a;MathJax.Callback.Signal("Hub").Post(["Locale Reset",this.locale])},setLocale:function(a){this.resetLocale(a);if(MathJax.Menu){this.loadDomain("MathMenu")}},addTranslation:function(b,e,c){var d=this.strings[b],a=false;if(!d){d=this.strings[b]={};a=true}if(!d.domains){d.domains={}}if(e){if(!d.domains[e]){d.domains[e]={}}d=d.domains[e]}MathJax.Hub.Insert(d,c);if(a&&MathJax.Menu.menu){MathJax.Menu.CreateLocaleMenu()}},setCSS:function(b){var a=this.strings[this.locale];if(a){if(a.fontFamily){b.style.fontFamily=a.fontFamily}if(a.fontDirection){b.style.direction=a.fontDirection;if(a.fontDirection==="rtl"){b.style.textAlign="right"}}}return b},fontFamily:function(){var a=this.strings[this.locale];return(a?a.fontFamily:null)},fontDirection:function(){var a=this.strings[this.locale];return(a?a.fontDirection:null)},plural:function(b){var a=this.strings[this.locale];if(a&&a.plural){return a.plural(b)}if(b==1){return 1}return 2},number:function(b){var a=this.strings[this.locale];if(a&&a.number){return a.number(b)}return b}};MathJax.Message={ready:false,log:[{}],current:null,textNodeBug:(navigator.vendor==="Apple Computer, Inc."&&typeof navigator.vendorSub==="undefined")||(window.hasOwnProperty&&window.hasOwnProperty("konqueror")),styles:{"#MathJax_Message":{position:"fixed",left:"1px",bottom:"2px","background-color":"#E6E6E6",border:"1px solid #959595",margin:"0px",padding:"2px 8px","z-index":"102",color:"black","font-size":"80%",width:"auto","white-space":"nowrap"},"#MathJax_MSIE_Frame":{position:"absolute",top:0,left:0,width:"0px","z-index":101,border:"0px",margin:"0px",padding:"0px"}},browsers:{MSIE:function(a){MathJax.Message.msieFixedPositionBug=((document.documentMode||0)<7);if(MathJax.Message.msieFixedPositionBug){MathJax.Hub.config.styles["#MathJax_Message"].position="absolute"}MathJax.Message.quirks=(document.compatMode==="BackCompat")},Chrome:function(a){MathJax.Hub.config.styles["#MathJax_Message"].bottom="1.5em";MathJax.Hub.config.styles["#MathJax_Message"].left="1em"}},Init:function(a){if(a){this.ready=true}if(!document.body||!this.ready){return false}if(this.div&&this.div.parentNode==null){this.div=document.getElementById("MathJax_Message");this.text=(this.div?this.div.firstChild:null)}if(!this.div){var b=document.body;if(this.msieFixedPositionBug&&window.attachEvent){b=this.frame=this.addDiv(document.body);b.removeAttribute("id");b.style.position="absolute";b.style.border=b.style.margin=b.style.padding="0px";b.style.zIndex="101";b.style.height="0px";b=this.addDiv(b);b.id="MathJax_MSIE_Frame";window.attachEvent("onscroll",this.MoveFrame);window.attachEvent("onresize",this.MoveFrame);this.MoveFrame()}this.div=this.addDiv(b);this.div.style.display="none"}if(!this.text){this.text=this.div.appendChild(document.createTextNode(""))}return true},addDiv:function(a){var b=document.createElement("div");b.id="MathJax_Message";if(a.firstChild){a.insertBefore(b,a.firstChild)}else{a.appendChild(b)}return b},MoveFrame:function(){var a=(MathJax.Message.quirks?document.body:document.documentElement);var b=MathJax.Message.frame;b.style.left=a.scrollLeft+"px";b.style.top=a.scrollTop+"px";b.style.width=a.clientWidth+"px";b=b.firstChild;b.style.height=a.clientHeight+"px"},localize:function(a){return MathJax.Localization._(a,a)},filterText:function(a,c,b){if(MathJax.Hub.config.messageStyle==="simple"){if(b==="LoadFile"){if(!this.loading){this.loading=this.localize("Loading")+" "}a=this.loading;this.loading+="."}else{if(b==="ProcessMath"){if(!this.processing){this.processing=this.localize("Processing")+" "}a=this.processing;this.processing+="."}else{if(b==="TypesetMath"){if(!this.typesetting){this.typesetting=this.localize("Typesetting")+" "}a=this.typesetting;this.typesetting+="."}}}}return a},clearCounts:function(){delete this.loading;delete this.processing;delete this.typesetting},Set:function(c,e,b){if(e==null){e=this.log.length;this.log[e]={}}var d="";if(MathJax.Object.isArray(c)){d=c[0];if(MathJax.Object.isArray(d)){d=d[1]}try{c=MathJax.Localization._.apply(MathJax.Localization,c)}catch(a){if(!a.restart){throw a}if(!a.restart.called){if(this.log[e].restarted==null){this.log[e].restarted=0}this.log[e].restarted++;delete this.log[e].cleared;MathJax.Callback.After(["Set",this,c,e,b],a.restart);return e}}}if(this.timer){clearTimeout(this.timer);delete this.timer}this.log[e].text=c;this.log[e].filteredText=c=this.filterText(c,e,d);if(typeof(this.log[e].next)==="undefined"){this.log[e].next=this.current;if(this.current!=null){this.log[this.current].prev=e}this.current=e}if(this.current===e&&MathJax.Hub.config.messageStyle!=="none"){if(this.Init()){if(this.textNodeBug){this.div.innerHTML=c}else{this.text.nodeValue=c}this.div.style.display="";if(this.status){window.status="";delete this.status}}else{window.status=c;this.status=true}}if(this.log[e].restarted){if(this.log[e].cleared){b=0}if(--this.log[e].restarted===0){delete this.log[e].cleared}}if(b){setTimeout(MathJax.Callback(["Clear",this,e]),b)}else{if(b==0){this.Clear(e,0)}}return e},Clear:function(b,a){if(this.log[b].prev!=null){this.log[this.log[b].prev].next=this.log[b].next}if(this.log[b].next!=null){this.log[this.log[b].next].prev=this.log[b].prev}if(this.current===b){this.current=this.log[b].next;if(this.text){if(this.div.parentNode==null){this.Init()}if(this.current==null){if(this.timer){clearTimeout(this.timer);delete this.timer}if(a==null){a=600}if(a===0){this.Remove()}else{this.timer=setTimeout(MathJax.Callback(["Remove",this]),a)}}else{if(MathJax.Hub.config.messageStyle!=="none"){if(this.textNodeBug){this.div.innerHTML=this.log[this.current].filteredText}else{this.text.nodeValue=this.log[this.current].filteredText}}}if(this.status){window.status="";delete this.status}}else{if(this.status){window.status=(this.current==null?"":this.log[this.current].text)}}}delete this.log[b].next;delete this.log[b].prev;delete this.log[b].filteredText;if(this.log[b].restarted){this.log[b].cleared=true}},Remove:function(){this.text.nodeValue="";this.div.style.display="none"},File:function(a){return this.Set(["LoadFile","Loading %1",a],null,null)},Log:function(){var b=[];for(var c=1,a=this.log.length;c<a;c++){b[c]=this.log[c].text}return b.join("\n")}};MathJax.Hub={config:{root:"",config:[],styleSheets:[],styles:{".MathJax_Preview":{color:"#888"}},jax:[],extensions:[],preJax:null,postJax:null,displayAlign:"center",displayIndent:"0",preRemoveClass:"MathJax_Preview",showProcessingMessages:true,messageStyle:"normal",delayStartupUntil:"none",skipStartupTypeset:false,elements:[],positionToHash:true,showMathMenu:true,showMathMenuMSIE:true,menuSettings:{zoom:"None",CTRL:false,ALT:false,CMD:false,Shift:false,discoverable:false,zscale:"200%",renderer:null,font:"Auto",context:"MathJax",locale:null,mpContext:false,mpMouse:false,texHints:true,FastPreview:null,assistiveMML:null,inTabOrder:true,semantics:false},errorSettings:{message:["[",["MathProcessingError","Math Processing Error"],"]"],style:{color:"#CC0000","font-style":"italic"}},ignoreMMLattributes:{}},preProcessors:MathJax.Callback.Hooks(true),inputJax:{},outputJax:{order:{}},processSectionDelay:50,processUpdateTime:250,processUpdateDelay:10,signal:MathJax.Callback.Signal("Hub"),Config:function(a){this.Insert(this.config,a);if(this.config.Augment){this.Augment(this.config.Augment)}},CombineConfig:function(c,f){var b=this.config,g,e;c=c.split(/\./);for(var d=0,a=c.length;d<a;d++){g=c[d];if(!b[g]){b[g]={}}e=b;b=b[g]}e[g]=b=this.Insert(f,b);return b},Register:{PreProcessor:function(){return MathJax.Hub.preProcessors.Add.apply(MathJax.Hub.preProcessors,arguments)},MessageHook:function(){return MathJax.Hub.signal.MessageHook.apply(MathJax.Hub.signal,arguments)},StartupHook:function(){return MathJax.Hub.Startup.signal.MessageHook.apply(MathJax.Hub.Startup.signal,arguments)},LoadHook:function(){return MathJax.Ajax.LoadHook.apply(MathJax.Ajax,arguments)}},UnRegister:{PreProcessor:function(a){MathJax.Hub.preProcessors.Remove(a)},MessageHook:function(a){MathJax.Hub.signal.RemoveHook(a)},StartupHook:function(a){MathJax.Hub.Startup.signal.RemoveHook(a)},LoadHook:function(a){MathJax.Ajax.removeHook(a)}},getAllJax:function(e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax){c.push(b[d].MathJax.elementJax)}}return c},getJaxByType:function(f,e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax&&b[d].MathJax.elementJax.mimeType===f){c.push(b[d].MathJax.elementJax)}}return c},getJaxByInputType:function(f,e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax&&b[d].type&&b[d].type.replace(/ *;(.|\s)*/,"")===f){c.push(b[d].MathJax.elementJax)}}return c},getJaxFor:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(a&&a.MathJax){return a.MathJax.elementJax}if(this.isMathJaxNode(a)){if(!a.isMathJax){a=a.firstChild}while(a&&!a.jaxID){a=a.parentNode}if(a){return MathJax.OutputJax[a.jaxID].getJaxFromMath(a)}}return null},isJax:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(this.isMathJaxNode(a)){return 1}if(a&&(a.tagName||"").toLowerCase()==="script"){if(a.MathJax){return(a.MathJax.state===MathJax.ElementJax.STATE.PROCESSED?1:-1)}if(a.type&&this.inputJax[a.type.replace(/ *;(.|\s)*/,"")]){return -1}}return 0},isMathJaxNode:function(a){return !!a&&(a.isMathJax||(a.className||"")==="MathJax_MathML")},setRenderer:function(d,c){if(!d){return}var e=MathJax.OutputJax[d];if(!e){MathJax.OutputJax[d]=MathJax.OutputJax({id:"unknown",version:"1.0.0",isUnknown:true});this.config.menuSettings.renderer="";var b="[MathJax]/jax/output/"+d+"/config.js";return MathJax.Ajax.Require(b,["setRenderer",this,d,c])}else{this.config.menuSettings.renderer=d;if(c==null){c="jax/mml"}if(e.isUnknown){e.Register(c)}var a=this.outputJax;if(a[c]&&a[c].length){if(d!==a[c][0].id){a[c].unshift(e);return this.signal.Post(["Renderer Selected",d])}}return null}},Queue:function(){return this.queue.Push.apply(this.queue,arguments)},Typeset:function(c,d){if(!MathJax.isReady){return null}var b=this.elementCallback(c,d);if(b.count){var a=MathJax.Callback.Queue(["PreProcess",this,b.elements],["Process",this,b.elements])}return a.Push(b.callback)},PreProcess:function(e,g){var c=this.elementCallback(e,g);var b=MathJax.Callback.Queue();if(c.count){var f=(c.count===1?[c.elements]:c.elements);b.Push(["Post",this.signal,["Begin PreProcess",c.elements]]);for(var d=0,a=f.length;d<a;d++){if(f[d]){b.Push(["Execute",this.preProcessors,f[d]])}}b.Push(["Post",this.signal,["End PreProcess",c.elements]])}return b.Push(c.callback)},Process:function(a,b){return this.takeAction("Process",a,b)},Update:function(a,b){return this.takeAction("Update",a,b)},Reprocess:function(a,b){return this.takeAction("Reprocess",a,b)},Rerender:function(a,b){return this.takeAction("Rerender",a,b)},takeAction:function(g,d,h){var c=this.elementCallback(d,h);var f=c.elements;var a=MathJax.Callback.Queue(["Clear",this.signal]);var e={scripts:[],start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]};if(c.count){var b=["Delay",MathJax.Callback,this.processSectionDelay];if(!b[2]){b={}}a.Push(["clearCounts",MathJax.Message],["Post",this.signal,["Begin "+g,f]],["Post",this.signal,["Begin Math",f,g]],["prepareScripts",this,g,f,e],["Post",this.signal,["Begin Math Input",f,g]],["processInput",this,e],["Post",this.signal,["End Math Input",f,g]],b,["prepareOutput",this,e,"preProcess"],b,["Post",this.signal,["Begin Math Output",f,g]],["processOutput",this,e],["Post",this.signal,["End Math Output",f,g]],b,["prepareOutput",this,e,"postProcess"],b,["Post",this.signal,["End Math",f,g]],["Post",this.signal,["End "+g,f]],["clearCounts",MathJax.Message])}return a.Push(c.callback)},scriptAction:{Process:function(a){},Update:function(b){var a=b.MathJax.elementJax;if(a&&a.needsUpdate()){a.Remove(true);b.MathJax.state=a.STATE.UPDATE}else{b.MathJax.state=a.STATE.PROCESSED}},Reprocess:function(b){var a=b.MathJax.elementJax;if(a){a.Remove(true);b.MathJax.state=a.STATE.UPDATE}},Rerender:function(b){var a=b.MathJax.elementJax;if(a){a.Remove(true);b.MathJax.state=a.STATE.OUTPUT}}},prepareScripts:function(h,e,g){if(arguments.callee.disabled){return}var b=this.elementScripts(e);var f=MathJax.ElementJax.STATE;for(var d=0,a=b.length;d<a;d++){var c=b[d];if(c.type&&this.inputJax[c.type.replace(/ *;(.|\n)*/,"")]){if(c.MathJax){if(c.MathJax.elementJax&&c.MathJax.elementJax.hover){MathJax.Extension.MathEvents.Hover.ClearHover(c.MathJax.elementJax)}if(c.MathJax.state!==f.PENDING){this.scriptAction[h](c)}}if(!c.MathJax){c.MathJax={state:f.PENDING}}if(c.MathJax.error){delete c.MathJax.error}if(c.MathJax.state!==f.PROCESSED){g.scripts.push(c)}}}},checkScriptSiblings:function(a){if(a.MathJax.checked){return}var b=this.config,f=a.previousSibling;if(f&&f.nodeName==="#text"){var d,e,c=a.nextSibling;if(c&&c.nodeName!=="#text"){c=null}if(b.preJax){if(typeof(b.preJax)==="string"){b.preJax=new RegExp(b.preJax+"$")}d=f.nodeValue.match(b.preJax)}if(b.postJax&&c){if(typeof(b.postJax)==="string"){b.postJax=new RegExp("^"+b.postJax)}e=c.nodeValue.match(b.postJax)}if(d&&(!b.postJax||e)){f.nodeValue=f.nodeValue.replace(b.preJax,(d.length>1?d[1]:""));f=null}if(e&&(!b.preJax||d)){c.nodeValue=c.nodeValue.replace(b.postJax,(e.length>1?e[1]:""))}if(f&&!f.nodeValue.match(/\S/)){f=f.previousSibling}}if(b.preRemoveClass&&f&&f.className===b.preRemoveClass){a.MathJax.preview=f}a.MathJax.checked=1},processInput:function(a){var b,i=MathJax.ElementJax.STATE;var h,e,d=a.scripts.length;try{while(a.i<d){h=a.scripts[a.i];if(!h){a.i++;continue}e=h.previousSibling;if(e&&e.className==="MathJax_Error"){e.parentNode.removeChild(e)}if(!h.parentNode||!h.MathJax||h.MathJax.state===i.PROCESSED){a.i++;continue}if(!h.MathJax.elementJax||h.MathJax.state===i.UPDATE){this.checkScriptSiblings(h);var g=h.type.replace(/ *;(.|\s)*/,"");var j=this.inputJax[g];b=j.Process(h,a);if(typeof b==="function"){if(b.called){continue}this.RestartAfter(b)}b=b.Attach(h,j.id);this.saveScript(b,a,h,i);this.postInputHooks.Execute(b,j.id,h)}else{if(h.MathJax.state===i.OUTPUT){this.saveScript(h.MathJax.elementJax,a,h,i)}}a.i++;var c=new Date().getTime();if(c-a.start>this.processUpdateTime&&a.i<a.scripts.length){a.start=c;this.RestartAfter(MathJax.Callback.Delay(1))}}}catch(f){return this.processError(f,a,"Input")}if(a.scripts.length&&this.config.showProcessingMessages){MathJax.Message.Set(["ProcessMath","Processing math: %1%%",100],0)}a.start=new Date().getTime();a.i=a.j=0;return null},postInputHooks:MathJax.Callback.Hooks(true),saveScript:function(a,d,b,c){if(!this.outputJax[a.mimeType]){b.MathJax.state=c.UPDATE;throw Error("No output jax registered for "+a.mimeType)}a.outputJax=this.outputJax[a.mimeType][0].id;if(!d.jax[a.outputJax]){if(d.jaxIDs.length===0){d.jax[a.outputJax]=d.scripts}else{if(d.jaxIDs.length===1){d.jax[d.jaxIDs[0]]=d.scripts.slice(0,d.i)}d.jax[a.outputJax]=[]}d.jaxIDs.push(a.outputJax)}if(d.jaxIDs.length>1){d.jax[a.outputJax].push(b)}b.MathJax.state=c.OUTPUT},prepareOutput:function(c,f){while(c.j<c.jaxIDs.length){var e=c.jaxIDs[c.j],d=MathJax.OutputJax[e];if(d[f]){try{var a=d[f](c);if(typeof a==="function"){if(a.called){continue}this.RestartAfter(a)}}catch(b){if(!b.restart){MathJax.Message.Set(["PrepError","Error preparing %1 output (%2)",e,f],null,600);MathJax.Hub.lastPrepError=b;c.j++}return MathJax.Callback.After(["prepareOutput",this,c,f],b.restart)}}c.j++}return null},processOutput:function(h){var b,g=MathJax.ElementJax.STATE,d,a=h.scripts.length;try{while(h.i<a){d=h.scripts[h.i];if(!d||!d.parentNode||!d.MathJax||d.MathJax.error){h.i++;continue}var c=d.MathJax.elementJax;if(!c){h.i++;continue}b=MathJax.OutputJax[c.outputJax].Process(d,h);if(b!==false){d.MathJax.state=g.PROCESSED;if(d.MathJax.preview){d.MathJax.preview.innerHTML="";d.MathJax.preview.style.display="none"}this.signal.Post(["New Math",c.inputID])}h.i++;var e=new Date().getTime();if(e-h.start>this.processUpdateTime&&h.i<h.scripts.length){h.start=e;this.RestartAfter(MathJax.Callback.Delay(this.processUpdateDelay))}}}catch(f){return this.processError(f,h,"Output")}if(h.scripts.length&&this.config.showProcessingMessages){MathJax.Message.Set(["TypesetMath","Typesetting math: %1%%",100],0);MathJax.Message.Clear(0)}h.i=h.j=0;return null},processMessage:function(d,b){var a=Math.floor(d.i/(d.scripts.length)*100);var c=(b==="Output"?["TypesetMath","Typesetting math: %1%%"]:["ProcessMath","Processing math: %1%%"]);if(this.config.showProcessingMessages){MathJax.Message.Set(c.concat(a),0)}},processError:function(b,c,a){if(!b.restart){if(!this.config.errorSettings.message){throw b}this.formatError(c.scripts[c.i],b);c.i++}this.processMessage(c,a);return MathJax.Callback.After(["process"+a,this,c],b.restart)},formatError:function(b,f){var h=function(l,k,j,i){return MathJax.Localization._(l,k,j,i)};var e=h("ErrorMessage","Error: %1",f.message)+"\n";if(f.sourceURL||f.fileName){e+="\n"+h("ErrorFile","file: %1",f.sourceURL||f.fileName)}if(f.line||f.lineNumber){e+="\n"+h("ErrorLine","line: %1",f.line||f.lineNumber)}e+="\n\n"+h("ErrorTips","Debugging tips: use %1, inspect %2 in the browser console","'unpacked/MathJax.js'","'MathJax.Hub.lastError'");b.MathJax.error=MathJax.OutputJax.Error.Jax(e,b);if(b.MathJax.elementJax){b.MathJax.error.inputID=b.MathJax.elementJax.inputID}var g=this.config.errorSettings;var a=h(g.messageId,g.message);var c=MathJax.HTML.Element("span",{className:"MathJax_Error",jaxID:"Error",isMathJax:true,id:b.MathJax.error.inputID+"-Frame"},[["span",null,a]]);MathJax.Ajax.Require("[MathJax]/extensions/MathEvents.js",function(){var j=MathJax.Extension.MathEvents.Event,i=MathJax.Hub;c.oncontextmenu=j.Menu;c.onmousedown=j.Mousedown;c.onkeydown=j.Keydown;c.tabIndex=i.getTabOrder(i.getJaxFor(b))});var d=document.getElementById(c.id);if(d){d.parentNode.removeChild(d)}if(b.parentNode){b.parentNode.insertBefore(c,b)}if(b.MathJax.preview){b.MathJax.preview.innerHTML="";b.MathJax.preview.style.display="none"}this.lastError=f;this.signal.Post(["Math Processing Error",b,f])},RestartAfter:function(a){throw this.Insert(Error("restart"),{restart:MathJax.Callback(a)})},elementCallback:function(c,f){if(f==null&&(MathJax.Object.isArray(c)||typeof c==="function")){try{MathJax.Callback(c);f=c;c=null}catch(d){}}if(c==null){c=this.config.elements||[]}if(this.isHTMLCollection(c)){c=this.HTMLCollection2Array(c)}if(!MathJax.Object.isArray(c)){c=[c]}c=[].concat(c);for(var b=0,a=c.length;b<a;b++){if(typeof(c[b])==="string"){c[b]=document.getElementById(c[b])}}if(!document.body){document.body=document.getElementsByTagName("body")[0]}if(c.length==0){c.push(document.body)}if(!f){f={}}return{count:c.length,elements:(c.length===1?c[0]:c),callback:f}},elementScripts:function(e){var b=[];if(MathJax.Object.isArray(e)||this.isHTMLCollection(e)){for(var d=0,a=e.length;d<a;d++){var f=0;for(var c=0;c<d&&!f;c++){f=e[c].contains(e[d])}if(!f){b.push.apply(b,this.elementScripts(e[d]))}}return b}if(typeof(e)==="string"){e=document.getElementById(e)}if(!document.body){document.body=document.getElementsByTagName("body")[0]}if(e==null){e=document.body}if(e.tagName!=null&&e.tagName.toLowerCase()==="script"){return[e]}b=e.getElementsByTagName("script");if(this.msieHTMLCollectionBug){b=this.HTMLCollection2Array(b)}return b},isHTMLCollection:function(a){return("HTMLCollection" in window&&typeof(a)==="object"&&a instanceof HTMLCollection)},HTMLCollection2Array:function(c){if(!this.msieHTMLCollectionBug){return[].slice.call(c)}var b=[];for(var d=0,a=c.length;d<a;d++){b[d]=c[d]}return b},Insert:function(c,a){for(var b in a){if(a.hasOwnProperty(b)){if(typeof a[b]==="object"&&!(MathJax.Object.isArray(a[b]))&&(typeof c[b]==="object"||typeof c[b]==="function")){this.Insert(c[b],a[b])}else{c[b]=a[b]}}}return c},getTabOrder:function(a){return this.config.menuSettings.inTabOrder?0:-1},SplitList:("trim" in String.prototype?function(a){return a.trim().split(/\s+/)}:function(a){return a.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s+/)})};MathJax.Hub.Insert(MathJax.Hub.config.styles,MathJax.Message.styles);MathJax.Hub.Insert(MathJax.Hub.config.styles,{".MathJax_Error":MathJax.Hub.config.errorSettings.style});MathJax.Extension={};MathJax.Hub.Configured=MathJax.Callback({});MathJax.Hub.Startup={script:"",queue:MathJax.Callback.Queue(),signal:MathJax.Callback.Signal("Startup"),params:{},Config:function(){this.queue.Push(["Post",this.signal,"Begin Config"]);if(MathJax.AuthorConfig&&MathJax.AuthorConfig.root){MathJax.Ajax.config.root=MathJax.AuthorConfig.root}if(this.params.locale){MathJax.Localization.resetLocale(this.params.locale);MathJax.Hub.config.menuSettings.locale=this.params.locale}if(this.params.config){var c=this.params.config.split(/,/);for(var b=0,a=c.length;b<a;b++){if(!c[b].match(/\.js$/)){c[b]+=".js"}this.queue.Push(["Require",MathJax.Ajax,this.URL("config",c[b])])}}this.queue.Push(["Config",MathJax.Hub,MathJax.AuthorConfig]);if(this.script.match(/\S/)){this.queue.Push(this.script+";\n1;")}this.queue.Push(["ConfigDelay",this],["ConfigBlocks",this],[function(d){return d.loadArray(MathJax.Hub.config.config,"config",null,true)},this],["Post",this.signal,"End Config"])},ConfigDelay:function(){var a=this.params.delayStartupUntil||MathJax.Hub.config.delayStartupUntil;if(a==="onload"){return this.onload}if(a==="configured"){return MathJax.Hub.Configured}return a},ConfigBlocks:function(){var c=document.getElementsByTagName("script");var b=MathJax.Callback.Queue();for(var d=0,a=c.length;d<a;d++){var e=String(c[d].type).replace(/ /g,"");if(e.match(/^text\/x-mathjax-config(;.*)?$/)&&!e.match(/;executed=true/)){c[d].type+=";executed=true";b.Push(c[d].innerHTML+";\n1;")}}return b.Push(function(){MathJax.Ajax.config.root=MathJax.Hub.config.root})},Cookie:function(){return this.queue.Push(["Post",this.signal,"Begin Cookie"],["Get",MathJax.HTML.Cookie,"menu",MathJax.Hub.config.menuSettings],[function(e){var d=e.menuSettings;if(d.locale){MathJax.Localization.resetLocale(d.locale)}var g=e.menuSettings.renderer,b=e.jax;if(g){var c="output/"+g;b.sort();for(var f=0,a=b.length;f<a;f++){if(b[f].substr(0,7)==="output/"){break}}if(f==a-1){b.pop()}else{while(f<a){if(b[f]===c){b.splice(f,1);break}f++}}b.unshift(c)}if(d.CHTMLpreview!=null){if(d.FastPreview==null){d.FastPreview=d.CHTMLpreview}delete d.CHTMLpreview}if(d.FastPreview&&!MathJax.Extension["fast-preview"]){MathJax.Hub.config.extensions.push("fast-preview.js")}if(e.menuSettings.assistiveMML&&!MathJax.Extension.AssistiveMML){MathJax.Hub.config.extensions.push("AssistiveMML.js")}},MathJax.Hub.config],["Post",this.signal,"End Cookie"])},Styles:function(){return this.queue.Push(["Post",this.signal,"Begin Styles"],["loadArray",this,MathJax.Hub.config.styleSheets,"config"],["Styles",MathJax.Ajax,MathJax.Hub.config.styles],["Post",this.signal,"End Styles"])},Jax:function(){var f=MathJax.Hub.config,c=MathJax.Hub.outputJax;for(var g=0,b=f.jax.length,d=0;g<b;g++){var e=f.jax[g].substr(7);if(f.jax[g].substr(0,7)==="output/"&&c.order[e]==null){c.order[e]=d;d++}}var a=MathJax.Callback.Queue();return a.Push(["Post",this.signal,"Begin Jax"],["loadArray",this,f.jax,"jax","config.js"],["Post",this.signal,"End Jax"])},Extensions:function(){var a=MathJax.Callback.Queue();return a.Push(["Post",this.signal,"Begin Extensions"],["loadArray",this,MathJax.Hub.config.extensions,"extensions"],["Post",this.signal,"End Extensions"])},Message:function(){MathJax.Message.Init(true)},Menu:function(){var b=MathJax.Hub.config.menuSettings,a=MathJax.Hub.outputJax,d;for(var c in a){if(a.hasOwnProperty(c)){if(a[c].length){d=a[c];break}}}if(d&&d.length){if(b.renderer&&b.renderer!==d[0].id){d.unshift(MathJax.OutputJax[b.renderer])}b.renderer=d[0].id}},Hash:function(){if(MathJax.Hub.config.positionToHash&&document.location.hash&&document.body&&document.body.scrollIntoView){var d=decodeURIComponent(document.location.hash.substr(1));var f=document.getElementById(d);if(!f){var c=document.getElementsByTagName("a");for(var e=0,b=c.length;e<b;e++){if(c[e].name===d){f=c[e];break}}}if(f){while(!f.scrollIntoView){f=f.parentNode}f=this.HashCheck(f);if(f&&f.scrollIntoView){setTimeout(function(){f.scrollIntoView(true)},1)}}}},HashCheck:function(b){var a=MathJax.Hub.getJaxFor(b);if(a&&MathJax.OutputJax[a.outputJax].hashCheck){b=MathJax.OutputJax[a.outputJax].hashCheck(b)}return b},MenuZoom:function(){if(MathJax.Hub.config.showMathMenu){if(!MathJax.Extension.MathMenu){setTimeout(function(){MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/MathMenu.js",{}],["loadDomain",MathJax.Localization,"MathMenu"])},1000)}else{setTimeout(MathJax.Callback(["loadDomain",MathJax.Localization,"MathMenu"]),1000)}if(!MathJax.Extension.MathZoom){setTimeout(MathJax.Callback(["Require",MathJax.Ajax,"[MathJax]/extensions/MathZoom.js",{}]),2000)}}},onLoad:function(){var a=this.onload=MathJax.Callback(function(){MathJax.Hub.Startup.signal.Post("onLoad")});if(document.body&&document.readyState){if(MathJax.Hub.Browser.isMSIE){if(document.readyState==="complete"){return[a]}}else{if(document.readyState!=="loading"){return[a]}}}if(window.addEventListener){window.addEventListener("load",a,false);if(!this.params.noDOMContentEvent){window.addEventListener("DOMContentLoaded",a,false)}}else{if(window.attachEvent){window.attachEvent("onload",a)}else{window.onload=a}}return a},Typeset:function(a,b){if(MathJax.Hub.config.skipStartupTypeset){return function(){}}return this.queue.Push(["Post",this.signal,"Begin Typeset"],["Typeset",MathJax.Hub,a,b],["Post",this.signal,"End Typeset"])},URL:function(b,a){if(!a.match(/^([a-z]+:\/\/|\[|\/)/)){a="[MathJax]/"+b+"/"+a}return a},loadArray:function(b,f,c,a){if(b){if(!MathJax.Object.isArray(b)){b=[b]}if(b.length){var h=MathJax.Callback.Queue(),j={},e;for(var g=0,d=b.length;g<d;g++){e=this.URL(f,b[g]);if(c){e+="/"+c}if(a){h.Push(["Require",MathJax.Ajax,e,j])}else{h.Push(MathJax.Ajax.Require(e,j))}}return h.Push({})}}return null}};(function(d){var b=window[d],e="["+d+"]";var c=b.Hub,a=b.Ajax,f=b.Callback;var g=MathJax.Object.Subclass({JAXFILE:"jax.js",require:null,config:{},Init:function(i,h){if(arguments.length===0){return this}return(this.constructor.Subclass(i,h))()},Augment:function(k,j){var i=this.constructor,h={};if(k!=null){for(var l in k){if(k.hasOwnProperty(l)){if(typeof k[l]==="function"){i.protoFunction(l,k[l])}else{h[l]=k[l]}}}if(k.toString!==i.prototype.toString&&k.toString!=={}.toString){i.protoFunction("toString",k.toString)}}c.Insert(i.prototype,h);i.Augment(null,j);return this},Translate:function(h,i){throw Error(this.directory+"/"+this.JAXFILE+" failed to define the Translate() method")},Register:function(h){},Config:function(){this.config=c.CombineConfig(this.id,this.config);if(this.config.Augment){this.Augment(this.config.Augment)}},Startup:function(){},loadComplete:function(i){if(i==="config.js"){return a.loadComplete(this.directory+"/"+i)}else{var h=f.Queue();h.Push(c.Register.StartupHook("End Config",{}),["Post",c.Startup.signal,this.id+" Jax Config"],["Config",this],["Post",c.Startup.signal,this.id+" Jax Require"],[function(j){return MathJax.Hub.Startup.loadArray(j.require,this.directory)},this],[function(j,k){return MathJax.Hub.Startup.loadArray(j.extensions,"extensions/"+k)},this.config||{},this.id],["Post",c.Startup.signal,this.id+" Jax Startup"],["Startup",this],["Post",c.Startup.signal,this.id+" Jax Ready"]);if(this.copyTranslate){h.Push([function(j){j.preProcess=j.preTranslate;j.Process=j.Translate;j.postProcess=j.postTranslate},this.constructor.prototype])}return h.Push(["loadComplete",a,this.directory+"/"+i])}}},{id:"Jax",version:"2.7.6",directory:e+"/jax",extensionDir:e+"/extensions"});b.InputJax=g.Subclass({elementJax:"mml",sourceMenuTitle:["Original","Original Form"],copyTranslate:true,Process:function(l,q){var j=f.Queue(),o;var k=this.elementJax;if(!b.Object.isArray(k)){k=[k]}for(var n=0,h=k.length;n<h;n++){o=b.ElementJax.directory+"/"+k[n]+"/"+this.JAXFILE;if(!this.require){this.require=[]}else{if(!b.Object.isArray(this.require)){this.require=[this.require]}}this.require.push(o);j.Push(a.Require(o))}o=this.directory+"/"+this.JAXFILE;var p=j.Push(a.Require(o));if(!p.called){this.constructor.prototype.Process=function(){if(!p.called){return p}throw Error(o+" failed to load properly")}}k=c.outputJax["jax/"+k[0]];if(k){j.Push(a.Require(k[0].directory+"/"+this.JAXFILE))}return j.Push({})},needsUpdate:function(h){var i=h.SourceElement();return(h.originalText!==b.HTML.getScript(i))},Register:function(h){if(!c.inputJax){c.inputJax={}}c.inputJax[h]=this}},{id:"InputJax",version:"2.7.6",directory:g.directory+"/input",extensionDir:g.extensionDir});b.OutputJax=g.Subclass({copyTranslate:true,preProcess:function(j){var i,h=this.directory+"/"+this.JAXFILE;this.constructor.prototype.preProcess=function(k){if(!i.called){return i}throw Error(h+" failed to load properly")};i=a.Require(h);return i},Process:function(h){throw Error(this.id+" output jax failed to load properly")},Register:function(i){var h=c.outputJax;if(!h[i]){h[i]=[]}if(h[i].length&&(this.id===c.config.menuSettings.renderer||(h.order[this.id]||0)<(h.order[h[i][0].id]||0))){h[i].unshift(this)}else{h[i].push(this)}if(!this.require){this.require=[]}else{if(!b.Object.isArray(this.require)){this.require=[this.require]}}this.require.push(b.ElementJax.directory+"/"+(i.split(/\//)[1])+"/"+this.JAXFILE)},Remove:function(h){}},{id:"OutputJax",version:"2.7.6",directory:g.directory+"/output",extensionDir:g.extensionDir,fontDir:e+(b.isPacked?"":"/..")+"/fonts",imageDir:e+(b.isPacked?"":"/..")+"/images"});b.ElementJax=g.Subclass({Init:function(i,h){return this.constructor.Subclass(i,h)},inputJax:null,outputJax:null,inputID:null,originalText:"",mimeType:"",sourceMenuTitle:["MathMLcode","MathML Code"],Text:function(i,j){var h=this.SourceElement();b.HTML.setScript(h,i);h.MathJax.state=this.STATE.UPDATE;return c.Update(h,j)},Reprocess:function(i){var h=this.SourceElement();h.MathJax.state=this.STATE.UPDATE;return c.Reprocess(h,i)},Update:function(h){return this.Rerender(h)},Rerender:function(i){var h=this.SourceElement();h.MathJax.state=this.STATE.OUTPUT;return c.Process(h,i)},Remove:function(h){if(this.hover){this.hover.clear(this)}b.OutputJax[this.outputJax].Remove(this);if(!h){c.signal.Post(["Remove Math",this.inputID]);this.Detach()}},needsUpdate:function(){return b.InputJax[this.inputJax].needsUpdate(this)},SourceElement:function(){return document.getElementById(this.inputID)},Attach:function(i,j){var h=i.MathJax.elementJax;if(i.MathJax.state===this.STATE.UPDATE){h.Clone(this)}else{h=i.MathJax.elementJax=this;if(i.id){this.inputID=i.id}else{i.id=this.inputID=b.ElementJax.GetID();this.newID=1}}h.originalText=b.HTML.getScript(i);h.inputJax=j;if(h.root){h.root.inputID=h.inputID}return h},Detach:function(){var h=this.SourceElement();if(!h){return}try{delete h.MathJax}catch(i){h.MathJax=null}if(this.newID){h.id=""}},Clone:function(h){var i;for(i in this){if(!this.hasOwnProperty(i)){continue}if(typeof(h[i])==="undefined"&&i!=="newID"){delete this[i]}}for(i in h){if(!h.hasOwnProperty(i)){continue}if(typeof(this[i])==="undefined"||(this[i]!==h[i]&&i!=="inputID")){this[i]=h[i]}}}},{id:"ElementJax",version:"2.7.6",directory:g.directory+"/element",extensionDir:g.extensionDir,ID:0,STATE:{PENDING:1,PROCESSED:2,UPDATE:3,OUTPUT:4},GetID:function(){this.ID++;return"MathJax-Element-"+this.ID},Subclass:function(){var h=g.Subclass.apply(this,arguments);h.loadComplete=this.prototype.loadComplete;return h}});b.ElementJax.prototype.STATE=b.ElementJax.STATE;b.OutputJax.Error={id:"Error",version:"2.7.6",config:{},errors:0,ContextMenu:function(){return b.Extension.MathEvents.Event.ContextMenu.apply(b.Extension.MathEvents.Event,arguments)},Mousedown:function(){return b.Extension.MathEvents.Event.AltContextMenu.apply(b.Extension.MathEvents.Event,arguments)},getJaxFromMath:function(h){return(h.nextSibling.MathJax||{}).error},Jax:function(j,i){var h=MathJax.Hub.inputJax[i.type.replace(/ *;(.|\s)*/,"")];this.errors++;return{inputJax:(h||{id:"Error"}).id,outputJax:"Error",inputID:"MathJax-Error-"+this.errors,sourceMenuTitle:["ErrorMessage","Error Message"],sourceMenuFormat:"Error",originalText:MathJax.HTML.getScript(i),errorText:j}}};b.InputJax.Error={id:"Error",version:"2.7.6",config:{},sourceMenuTitle:["Original","Original Form"]}})("MathJax");(function(o){var h=window[o];if(!h){h=window[o]={}}var d=h.Hub;var s=d.Startup;var w=d.config;var g=document.head||(document.getElementsByTagName("head")[0]);if(!g){g=document.childNodes[0]}var b=(document.documentElement||document).getElementsByTagName("script");if(b.length===0&&g.namespaceURI){b=document.getElementsByTagNameNS(g.namespaceURI,"script")}var f=new RegExp("(^|/)"+o+"\\.js(\\?.*)?$");for(var q=b.length-1;q>=0;q--){if((b[q].src||"").match(f)){s.script=b[q].innerHTML;if(RegExp.$2){var t=RegExp.$2.substr(1).split(/\&/);for(var p=0,l=t.length;p<l;p++){var n=t[p].match(/(.*)=(.*)/);if(n){s.params[unescape(n[1])]=unescape(n[2])}else{s.params[t[p]]=true}}}w.root=b[q].src.replace(/(^|\/)[^\/]*(\?.*)?$/,"");h.Ajax.config.root=w.root;h.Ajax.params=s.params;break}}var k=navigator.userAgent;var a={isMac:(navigator.platform.substr(0,3)==="Mac"),isPC:(navigator.platform.substr(0,3)==="Win"),isMSIE:("ActiveXObject" in window&&"clipboardData" in window),isEdge:("MSGestureEvent" in window&&"chrome" in window&&window.chrome.loadTimes==null),isFirefox:(!!k.match(/Gecko\//)&&!k.match(/like Gecko/)),isSafari:(!!k.match(/ (Apple)?WebKit\//)&&!k.match(/ like iPhone /)&&(!window.chrome||window.chrome.app==null)),isChrome:("chrome" in window&&window.chrome.loadTimes!=null),isOpera:("opera" in window&&window.opera.version!=null),isKonqueror:("konqueror" in window&&navigator.vendor=="KDE"),versionAtLeast:function(y){var x=(this.version).split(".");y=(new String(y)).split(".");for(var z=0,j=y.length;z<j;z++){if(x[z]!=y[z]){return parseInt(x[z]||"0")>=parseInt(y[z])}}return true},Select:function(j){var i=j[d.Browser];if(i){return i(d.Browser)}return null}};var e=k.replace(/^Mozilla\/(\d+\.)+\d+ /,"").replace(/[a-z][-a-z0-9._: ]+\/\d+[^ ]*-[^ ]*\.([a-z][a-z])?\d+ /i,"").replace(/Gentoo |Ubuntu\/(\d+\.)*\d+ (\([^)]*\) )?/,"");d.Browser=d.Insert(d.Insert(new String("Unknown"),{version:"0.0"}),a);for(var v in a){if(a.hasOwnProperty(v)){if(a[v]&&v.substr(0,2)==="is"){v=v.slice(2);if(v==="Mac"||v==="PC"){continue}d.Browser=d.Insert(new String(v),a);var r=new RegExp(".*(Version/| Trident/.*; rv:)((?:\\d+\\.)+\\d+)|.*("+v+")"+(v=="MSIE"?" ":"/")+"((?:\\d+\\.)*\\d+)|(?:^|\\(| )([a-z][-a-z0-9._: ]+|(?:Apple)?WebKit)/((?:\\d+\\.)+\\d+)");var u=r.exec(e)||["","","","unknown","0.0"];d.Browser.name=(u[1]!=""?v:(u[3]||u[5]));d.Browser.version=u[2]||u[4]||u[6];break}}}try{d.Browser.Select({Safari:function(j){var i=parseInt((String(j.version).split("."))[0]);if(i>85){j.webkit=j.version}if(i>=538){j.version="8.0"}else{if(i>=537){j.version="7.0"}else{if(i>=536){j.version="6.0"}else{if(i>=534){j.version="5.1"}else{if(i>=533){j.version="5.0"}else{if(i>=526){j.version="4.0"}else{if(i>=525){j.version="3.1"}else{if(i>500){j.version="3.0"}else{if(i>400){j.version="2.0"}else{if(i>85){j.version="1.0"}}}}}}}}}}j.webkit=(navigator.appVersion.match(/WebKit\/(\d+)\./))[1];j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);j.noContextMenu=j.isMobile},Firefox:function(j){if((j.version==="0.0"||k.match(/Firefox/)==null)&&navigator.product==="Gecko"){var m=k.match(/[\/ ]rv:(\d+\.\d.*?)[\) ]/);if(m){j.version=m[1]}else{var i=(navigator.buildID||navigator.productSub||"0").substr(0,8);if(i>="20111220"){j.version="9.0"}else{if(i>="20111120"){j.version="8.0"}else{if(i>="20110927"){j.version="7.0"}else{if(i>="20110816"){j.version="6.0"}else{if(i>="20110621"){j.version="5.0"}else{if(i>="20110320"){j.version="4.0"}else{if(i>="20100121"){j.version="3.6"}else{if(i>="20090630"){j.version="3.5"}else{if(i>="20080617"){j.version="3.0"}else{if(i>="20061024"){j.version="2.0"}}}}}}}}}}}}j.isMobile=(navigator.appVersion.match(/Android/i)!=null||k.match(/ Fennec\//)!=null||k.match(/Mobile/)!=null)},Chrome:function(i){i.noContextMenu=i.isMobile=!!navigator.userAgent.match(/ Mobile[ \/]/)},Opera:function(i){i.version=opera.version()},Edge:function(i){i.isMobile=!!navigator.userAgent.match(/ Phone/)},MSIE:function(j){j.isMobile=!!navigator.userAgent.match(/ Phone/);j.isIE9=!!(document.documentMode&&(window.performance||window.msPerformance));MathJax.HTML.setScriptBug=!j.isIE9||document.documentMode<9;MathJax.Hub.msieHTMLCollectionBug=(document.documentMode<9);if(document.documentMode<10&&!s.params.NoMathPlayer){try{new ActiveXObject("MathPlayer.Factory.1");j.hasMathPlayer=true}catch(m){}try{if(j.hasMathPlayer){var i=document.createElement("object");i.id="mathplayer";i.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";g.appendChild(i);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");j.mpNamespace=true;if(document.readyState&&(document.readyState==="loading"||document.readyState==="interactive")){document.write('<?import namespace="m" implementation="#MathPlayer">');j.mpImported=true}}else{document.namespaces.add("mjx_IE_fix","http://www.w3.org/1999/xlink")}}catch(m){}}}})}catch(c){console.error(c.message)}d.Browser.Select(MathJax.Message.browsers);if(h.AuthorConfig&&typeof h.AuthorConfig.AuthorInit==="function"){h.AuthorConfig.AuthorInit()}d.queue=h.Callback.Queue();d.queue.Push(["Post",s.signal,"Begin"],["Config",s],["Cookie",s],["Styles",s],["Message",s],function(){var i=h.Callback.Queue(s.Jax(),s.Extensions());return i.Push({})},["Menu",s],s.onLoad(),function(){MathJax.isReady=true},["Typeset",s],["Hash",s],["MenuZoom",s],["Post",s.signal,"End"])})("MathJax")}};
+if(document.getElementById&&document.childNodes&&document.createElement){if(!(window.MathJax&&MathJax.Hub)){if(window.MathJax){window.MathJax={AuthorConfig:window.MathJax}}else{window.MathJax={}}MathJax.isPacked=true;MathJax.version="2.7.9";MathJax.fileversion="2.7.9";MathJax.cdnVersion="2.7.9";MathJax.cdnFileVersions={};(function(d){var b=window[d];if(!b){b=window[d]={}}var e=[];var c=function(f){var g=f.constructor;if(!g){g=function(){}}for(var h in f){if(h!=="constructor"&&f.hasOwnProperty(h)){g[h]=f[h]}}return g};var a=function(){return function(){return arguments.callee.Init.call(this,arguments)}};b.Object=c({constructor:a(),Subclass:function(f,h){var g=a();g.SUPER=this;g.Init=this.Init;g.Subclass=this.Subclass;g.Augment=this.Augment;g.protoFunction=this.protoFunction;g.can=this.can;g.has=this.has;g.isa=this.isa;g.prototype=new this(e);g.prototype.constructor=g;g.Augment(f,h);return g},Init:function(f){var g=this;if(f.length===1&&f[0]===e){return g}if(!(g instanceof f.callee)){g=new f.callee(e)}return g.Init.apply(g,f)||g},Augment:function(f,g){var h;if(f!=null){for(h in f){if(f.hasOwnProperty(h)){this.protoFunction(h,f[h])}}if(f.toString!==this.prototype.toString&&f.toString!=={}.toString){this.protoFunction("toString",f.toString)}}if(g!=null){for(h in g){if(g.hasOwnProperty(h)){this[h]=g[h]}}}return this},protoFunction:function(g,f){this.prototype[g]=f;if(typeof f==="function"){f.SUPER=this.SUPER.prototype}},prototype:{Init:function(){},SUPER:function(f){return f.callee.SUPER},can:function(f){return typeof(this[f])==="function"},has:function(f){return typeof(this[f])!=="undefined"},isa:function(f){return(f instanceof Object)&&(this instanceof f)}},can:function(f){return this.prototype.can.call(this,f)},has:function(f){return this.prototype.has.call(this,f)},isa:function(g){var f=this;while(f){if(f===g){return true}else{f=f.SUPER}}return false},SimpleSUPER:c({constructor:function(f){return this.SimpleSUPER.define(f)},define:function(f){var h={};if(f!=null){for(var g in f){if(f.hasOwnProperty(g)){h[g]=this.wrap(g,f[g])}}if(f.toString!==this.prototype.toString&&f.toString!=={}.toString){h.toString=this.wrap("toString",f.toString)}}return h},wrap:function(i,h){if(typeof(h)!=="function"||!h.toString().match(/\.\s*SUPER\s*\(/)){return h}var g=function(){this.SUPER=g.SUPER[i];try{var f=h.apply(this,arguments)}catch(j){delete this.SUPER;throw j}delete this.SUPER;return f};g.toString=function(){return h.toString.apply(h,arguments)};return g}})});b.Object.isArray=Array.isArray||function(f){return Object.prototype.toString.call(f)==="[object Array]"};b.Object.Array=Array})("MathJax");(function(BASENAME){var BASE=window[BASENAME];if(!BASE){BASE=window[BASENAME]={}}var isArray=BASE.Object.isArray;var CALLBACK=function(data){var cb=function(){return arguments.callee.execute.apply(arguments.callee,arguments)};for(var id in CALLBACK.prototype){if(CALLBACK.prototype.hasOwnProperty(id)){if(typeof(data[id])!=="undefined"){cb[id]=data[id]}else{cb[id]=CALLBACK.prototype[id]}}}cb.toString=CALLBACK.prototype.toString;return cb};CALLBACK.prototype={isCallback:true,hook:function(){},data:[],object:window,execute:function(){if(!this.called||this.autoReset){this.called=!this.autoReset;return this.hook.apply(this.object,this.data.concat([].slice.call(arguments,0)))}},reset:function(){delete this.called},toString:function(){return this.hook.toString.apply(this.hook,arguments)}};var ISCALLBACK=function(f){return(typeof(f)==="function"&&f.isCallback)};var EVAL=function(code){return eval.call(window,code)};var TESTEVAL=function(){EVAL("var __TeSt_VaR__ = 1");if(window.__TeSt_VaR__){try{delete window.__TeSt_VaR__}catch(error){window.__TeSt_VaR__=null}}else{if(window.execScript){EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";window.execScript(code);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}else{EVAL=function(code){BASE.__code=code;code="try {"+BASENAME+".__result = eval("+BASENAME+".__code)} catch(err) {"+BASENAME+".__result = err}";var head=(document.getElementsByTagName("head"))[0];if(!head){head=document.body}var script=document.createElement("script");script.appendChild(document.createTextNode(code));head.appendChild(script);head.removeChild(script);var result=BASE.__result;delete BASE.__result;delete BASE.__code;if(result instanceof Error){throw result}return result}}}TESTEVAL=null};var USING=function(args,i){if(arguments.length>1){if(arguments.length===2&&!(typeof arguments[0]==="function")&&arguments[0] instanceof Object&&typeof arguments[1]==="number"){args=[].slice.call(args,i)}else{args=[].slice.call(arguments,0)}}if(isArray(args)&&args.length===1&&typeof(args[0])==="function"){args=args[0]}if(typeof args==="function"){if(args.execute===CALLBACK.prototype.execute){return args}return CALLBACK({hook:args})}else{if(isArray(args)){if(typeof(args[0])==="string"&&args[1] instanceof Object&&typeof args[1][args[0]]==="function"){return CALLBACK({hook:args[1][args[0]],object:args[1],data:args.slice(2)})}else{if(typeof args[0]==="function"){return CALLBACK({hook:args[0],data:args.slice(1)})}else{if(typeof args[1]==="function"){return CALLBACK({hook:args[1],object:args[0],data:args.slice(2)})}}}}else{if(typeof(args)==="string"){if(TESTEVAL){TESTEVAL()}return CALLBACK({hook:EVAL,data:[args]})}else{if(args instanceof Object){return CALLBACK(args)}else{if(typeof(args)==="undefined"){return CALLBACK({})}}}}}throw Error("Can't make callback from given data")};var DELAY=function(time,callback){callback=USING(callback);callback.timeout=setTimeout(callback,time);return callback};var WAITFOR=function(callback,signal){callback=USING(callback);if(!callback.called){WAITSIGNAL(callback,signal);signal.pending++}};var WAITEXECUTE=function(){var signals=this.signal;delete this.signal;this.execute=this.oldExecute;delete this.oldExecute;var result=this.execute.apply(this,arguments);if(ISCALLBACK(result)&&!result.called){WAITSIGNAL(result,signals)}else{for(var i=0,m=signals.length;i<m;i++){signals[i].pending--;if(signals[i].pending<=0){signals[i].call()}}}};var WAITSIGNAL=function(callback,signals){if(!isArray(signals)){signals=[signals]}if(!callback.signal){callback.oldExecute=callback.execute;callback.execute=WAITEXECUTE;callback.signal=signals}else{if(signals.length===1){callback.signal.push(signals[0])}else{callback.signal=callback.signal.concat(signals)}}};var AFTER=function(callback){callback=USING(callback);callback.pending=0;for(var i=1,m=arguments.length;i<m;i++){if(arguments[i]){WAITFOR(arguments[i],callback)}}if(callback.pending===0){var result=callback();if(ISCALLBACK(result)){callback=result}}return callback};var HOOKS=MathJax.Object.Subclass({Init:function(reset){this.hooks=[];this.remove=[];this.reset=reset;this.running=false},Add:function(hook,priority){if(priority==null){priority=10}if(!ISCALLBACK(hook)){hook=USING(hook)}hook.priority=priority;var i=this.hooks.length;while(i>0&&priority<this.hooks[i-1].priority){i--}this.hooks.splice(i,0,hook);return hook},Remove:function(hook){for(var i=0,m=this.hooks.length;i<m;i++){if(this.hooks[i]===hook){if(this.running){this.remove.push(i)}else{this.hooks.splice(i,1)}return}}},Execute:function(){var callbacks=[{}];this.running=true;for(var i=0,m=this.hooks.length;i<m;i++){if(this.reset){this.hooks[i].reset()}var result=this.hooks[i].apply(window,arguments);if(ISCALLBACK(result)&&!result.called){callbacks.push(result)}}this.running=false;if(this.remove.length){this.RemovePending()}if(callbacks.length===1){return null}if(callbacks.length===2){return callbacks[1]}return AFTER.apply({},callbacks)},RemovePending:function(){this.remove=this.remove.sort();for(var i=this.remove.length-1;i>=0;i--){this.hooks.splice(i,1)}this.remove=[]}});var EXECUTEHOOKS=function(hooks,data,reset){if(!hooks){return null}if(!isArray(hooks)){hooks=[hooks]}if(!isArray(data)){data=(data==null?[]:[data])}var handler=HOOKS(reset);for(var i=0,m=hooks.length;i<m;i++){handler.Add(hooks[i])}return handler.Execute.apply(handler,data)};var QUEUE=BASE.Object.Subclass({Init:function(){this.pending=this.running=0;this.queue=[];this.Push.apply(this,arguments)},Push:function(){var callback;for(var i=0,m=arguments.length;i<m;i++){callback=USING(arguments[i]);if(callback===arguments[i]&&!callback.called){callback=USING(["wait",this,callback])}this.queue.push(callback)}if(!this.running&&!this.pending){this.Process()}return callback},Process:function(queue){while(!this.running&&!this.pending&&this.queue.length){var callback=this.queue[0];queue=this.queue.slice(1);this.queue=[];this.Suspend();var result=callback();this.Resume();if(queue.length){this.queue=queue.concat(this.queue)}if(ISCALLBACK(result)&&!result.called){WAITFOR(result,this)}}},Suspend:function(){this.running++},Resume:function(){if(this.running){this.running--}},call:function(){this.Process.apply(this,arguments)},wait:function(callback){return callback}});var SIGNAL=QUEUE.Subclass({Init:function(name){QUEUE.prototype.Init.call(this);this.name=name;this.posted=[];this.listeners=HOOKS(true);this.posting=false;this.callback=null},Post:function(message,callback,forget){callback=USING(callback);if(this.posting||this.pending){this.Push(["Post",this,message,callback,forget])}else{this.callback=callback;callback.reset();if(!forget){this.posted.push(message)}this.Suspend();this.posting=true;var result=this.listeners.Execute(message);if(ISCALLBACK(result)&&!result.called){WAITFOR(result,this)}this.Resume();this.posting=false;if(!this.pending){this.call()}}return callback},Clear:function(callback){callback=USING(callback);if(this.posting||this.pending){callback=this.Push(["Clear",this,callback])}else{this.posted=[];callback()}return callback},call:function(){this.callback(this);this.Process()},Interest:function(callback,ignorePast,priority){callback=USING(callback);this.listeners.Add(callback,priority);if(!ignorePast){for(var i=0,m=this.posted.length;i<m;i++){callback.reset();var result=callback(this.posted[i]);if(ISCALLBACK(result)&&i===this.posted.length-1){WAITFOR(result,this)}}}return callback},NoInterest:function(callback){this.listeners.Remove(callback)},MessageHook:function(msg,callback,priority){callback=USING(callback);if(!this.hooks){this.hooks={};this.Interest(["ExecuteHooks",this])}if(!this.hooks[msg]){this.hooks[msg]=HOOKS(true)}this.hooks[msg].Add(callback,priority);for(var i=0,m=this.posted.length;i<m;i++){if(this.posted[i]==msg){callback.reset();callback(this.posted[i])}}callback.msg=msg;return callback},ExecuteHooks:function(msg){var type=(isArray(msg)?msg[0]:msg);if(!this.hooks[type]){return null}return this.hooks[type].Execute(msg)},RemoveHook:function(hook){this.hooks[hook.msg].Remove(hook)}},{signals:{},find:function(name){if(!SIGNAL.signals[name]){SIGNAL.signals[name]=new SIGNAL(name)}return SIGNAL.signals[name]}});BASE.Callback=BASE.CallBack=USING;BASE.Callback.Delay=DELAY;BASE.Callback.After=AFTER;BASE.Callback.Queue=QUEUE;BASE.Callback.Signal=SIGNAL.find;BASE.Callback.Hooks=HOOKS;BASE.Callback.ExecuteHooks=EXECUTEHOOKS})("MathJax");(function(e){var a=window[e];if(!a){a=window[e]={}}var d=(navigator.vendor==="Apple Computer, Inc."&&typeof navigator.vendorSub==="undefined");var g=0;var h=function(i){if(document.styleSheets&&document.styleSheets.length>g){g=document.styleSheets.length}if(!i){i=document.head||((document.getElementsByTagName("head"))[0]);if(!i){i=document.body}}return i};var f=[];var c=function(){for(var k=0,j=f.length;k<j;k++){a.Ajax.head.removeChild(f[k])}f=[]};var b={};b[e]="";b.a11y="[MathJax]/extensions/a11y";a.Ajax={loaded:{},loading:{},loadHooks:{},timeout:15*1000,styleDelay:1,config:{root:"",path:b},params:{},STATUS:{OK:1,ERROR:-1},fileURL:function(j){var i;while((i=j.match(/^\[([-._a-z0-9]+)\]/i))&&b.hasOwnProperty(i[1])){j=(b[i[1]]||this.config.root)+j.substr(i[1].length+2)}return j},fileName:function(j){var i=this.config.root;if(j.substr(0,i.length)===i){j="["+e+"]"+j.substr(i.length)}do{var k=false;for(var l in b){if(b.hasOwnProperty(l)&&b[l]){if(j.substr(0,b[l].length)===b[l]){j="["+l+"]"+j.substr(b[l].length);k=true;break}}}}while(k);return j},fileRev:function(j){var i=a.cdnFileVersions[j]||a.cdnVersion||"";if(i){i="?V="+i}return i},urlRev:function(i){return this.fileURL(i)+this.fileRev(i)},Require:function(k,n){n=a.Callback(n);var l;if(k instanceof Object){for(var j in k){if(k.hasOwnProperty(j)){l=j.toUpperCase();k=k[j]}}}else{l=k.split(/\./).pop().toUpperCase()}if(this.params.noContrib&&k.substr(0,9)==="[Contrib]"){n(this.STATUS.ERROR)}else{k=this.fileURL(k);if(this.loaded[k]){n(this.loaded[k])}else{var m={};m[l]=k;this.Load(m,n)}}return n},Load:function(k,m){m=a.Callback(m);var l;if(k instanceof Object){for(var j in k){if(k.hasOwnProperty(j)){l=j.toUpperCase();k=k[j]}}}else{l=k.split(/\./).pop().toUpperCase()}k=this.fileURL(k);if(this.loading[k]){this.addHook(k,m)}else{this.head=h(this.head);if(this.loader[l]){this.loader[l].call(this,k,m)}else{throw Error("Can't load files of type "+l)}}return m},LoadHook:function(l,m,k){m=a.Callback(m);if(l instanceof Object){for(var j in l){if(l.hasOwnProperty(j)){l=l[j]}}}l=this.fileURL(l);if(this.loaded[l]){m(this.loaded[l])}else{this.addHook(l,m,k)}return m},addHook:function(j,k,i){if(!this.loadHooks[j]){this.loadHooks[j]=MathJax.Callback.Hooks()}this.loadHooks[j].Add(k,i);k.file=j},removeHook:function(i){if(this.loadHooks[i.file]){this.loadHooks[i.file].Remove(i);if(!this.loadHooks[i.file].hooks.length){delete this.loadHooks[i.file]}}},Preloading:function(){for(var l=0,j=arguments.length;l<j;l++){var k=this.fileURL(arguments[l]);if(!this.loading[k]){this.loading[k]={preloaded:true}}}},loader:{JS:function(k,m){var j=this.fileName(k);var i=document.createElement("script");var l=a.Callback(["loadTimeout",this,k]);this.loading[k]={callback:m,timeout:setTimeout(l,this.timeout),status:this.STATUS.OK,script:i};this.loading[k].message=a.Message.File(j);i.onerror=l;i.type="text/javascript";i.src=k+this.fileRev(j);this.head.appendChild(i)},CSS:function(j,l){var i=this.fileName(j);var k=document.createElement("link");k.rel="stylesheet";k.type="text/css";k.href=j+this.fileRev(i);this.loading[j]={callback:l,message:a.Message.File(i),status:this.STATUS.OK};this.head.appendChild(k);this.timer.create.call(this,[this.timer.file,j],k)}},timer:{create:function(j,i){j=a.Callback(j);if(i.nodeName==="STYLE"&&i.styleSheet&&typeof(i.styleSheet.cssText)!=="undefined"){j(this.STATUS.OK)}else{if(window.chrome&&i.nodeName==="LINK"){j(this.STATUS.OK)}else{if(d){this.timer.start(this,[this.timer.checkSafari2,g++,j],this.styleDelay)}else{this.timer.start(this,[this.timer.checkLength,i,j],this.styleDelay)}}}return j},start:function(j,i,k,l){i=a.Callback(i);i.execute=this.execute;i.time=this.time;i.STATUS=j.STATUS;i.timeout=l||j.timeout;i.delay=i.total=k||0;if(k){setTimeout(i,k)}else{i()}},time:function(i){this.total+=this.delay;this.delay=Math.floor(this.delay*1.05+5);if(this.total>=this.timeout){i(this.STATUS.ERROR);return 1}return 0},file:function(j,i){if(i<0){a.Ajax.loadTimeout(j)}else{a.Ajax.loadComplete(j)}},execute:function(){this.hook.call(this.object,this,this.data[0],this.data[1])},checkSafari2:function(i,j,k){if(i.time(k)){return}if(document.styleSheets.length>j&&document.styleSheets[j].cssRules&&document.styleSheets[j].cssRules.length){k(i.STATUS.OK)}else{setTimeout(i,i.delay)}},checkLength:function(i,l,n){if(i.time(n)){return}var m=0;var j=(l.sheet||l.styleSheet);try{if((j.cssRules||j.rules||[]).length>0){m=1}}catch(k){if(k.message.match(/protected variable|restricted URI/)){m=1}else{if(k.message.match(/Security error/)){m=1}}}if(m){setTimeout(a.Callback([n,i.STATUS.OK]),0)}else{setTimeout(i,i.delay)}}},loadComplete:function(i){i=this.fileURL(i);var j=this.loading[i];if(j&&!j.preloaded){a.Message.Clear(j.message);clearTimeout(j.timeout);if(j.script){if(f.length===0){setTimeout(c,0)}f.push(j.script)}this.loaded[i]=j.status;delete this.loading[i];this.addHook(i,j.callback)}else{if(j){delete this.loading[i]}this.loaded[i]=this.STATUS.OK;j={status:this.STATUS.OK}}if(!this.loadHooks[i]){return null}return this.loadHooks[i].Execute(j.status)},loadTimeout:function(i){if(this.loading[i].timeout){clearTimeout(this.loading[i].timeout)}this.loading[i].status=this.STATUS.ERROR;this.loadError(i);this.loadComplete(i)},loadError:function(i){a.Message.Set(["LoadFailed","File failed to load: %1",i],null,2000);a.Hub.signal.Post(["file load error",i])},Styles:function(k,l){var i=this.StyleString(k);if(i===""){l=a.Callback(l);l()}else{var j=document.createElement("style");j.type="text/css";this.head=h(this.head);this.head.appendChild(j);if(j.styleSheet&&typeof(j.styleSheet.cssText)!=="undefined"){j.styleSheet.cssText=i}else{j.appendChild(document.createTextNode(i))}l=this.timer.create.call(this,l,j)}return l},StyleString:function(n){if(typeof(n)==="string"){return n}var k="",o,m;for(o in n){if(n.hasOwnProperty(o)){if(typeof n[o]==="string"){k+=o+" {"+n[o]+"}\n"}else{if(a.Object.isArray(n[o])){for(var l=0;l<n[o].length;l++){m={};m[o]=n[o][l];k+=this.StyleString(m)}}else{if(o.substr(0,6)==="@media"){k+=o+" {"+this.StyleString(n[o])+"}\n"}else{if(n[o]!=null){m=[];for(var j in n[o]){if(n[o].hasOwnProperty(j)){if(n[o][j]!=null){m[m.length]=j+": "+n[o][j]}}}k+=o+" {"+m.join("; ")+"}\n"}}}}}}return k}}})("MathJax");MathJax.HTML={Element:function(d,f,e){var g=document.createElement(d),h;if(f){if(f.hasOwnProperty("style")){var c=f.style;f.style={};for(h in c){if(c.hasOwnProperty(h)){f.style[h.replace(/-([a-z])/g,this.ucMatch)]=c[h]}}}MathJax.Hub.Insert(g,f);for(h in f){if(h==="role"||h.substr(0,5)==="aria-"){g.setAttribute(h,f[h])}}}if(e){if(!MathJax.Object.isArray(e)){e=[e]}for(var b=0,a=e.length;b<a;b++){if(MathJax.Object.isArray(e[b])){g.appendChild(this.Element(e[b][0],e[b][1],e[b][2]))}else{if(d==="script"){this.setScript(g,e[b])}else{g.appendChild(document.createTextNode(e[b]))}}}}return g},ucMatch:function(a,b){return b.toUpperCase()},addElement:function(b,a,d,c){return b.appendChild(this.Element(a,d,c))},TextNode:function(a){return document.createTextNode(a)},addText:function(a,b){return a.appendChild(this.TextNode(b))},setScript:function(a,b){if(this.setScriptBug){a.text=b}else{while(a.firstChild){a.removeChild(a.firstChild)}this.addText(a,b)}},getScript:function(a){var b=(a.text===""?a.innerHTML:a.text);return b.replace(/^\s+/,"").replace(/\s+$/,"")},Cookie:{prefix:"mjx",expires:365,Set:function(a,e){var d=[];if(e){for(var g in e){if(e.hasOwnProperty(g)){d.push(g+":"+e[g].toString().replace(/&/g,"&&"))}}}var b=this.prefix+"."+a+"="+escape(d.join("&;"));if(this.expires){var f=new Date();f.setDate(f.getDate()+this.expires);b+="; expires="+f.toGMTString()}try{document.cookie=b+"; path=/"}catch(c){}},Get:function(a,d){if(!d){d={}}var g=new RegExp("(?:^|;\\s*)"+this.prefix+"\\."+a+"=([^;]*)(?:;|$)");var f;try{f=g.exec(document.cookie)}catch(c){}if(f&&f[1]!==""){var j=unescape(f[1]).split("&;");for(var e=0,b=j.length;e<b;e++){f=j[e].match(/([^:]+):(.*)/);var h=f[2].replace(/&&/g,"&");if(h==="true"){h=true}else{if(h==="false"){h=false}else{if(h.match(/^-?(\d+(\.\d+)?|\.\d+)$/)){h=parseFloat(h)}}}d[f[1]]=h}}return d}}};MathJax.Localization={locale:"en",directory:"[MathJax]/localization",strings:{ar:{menuTitle:"\u0627\u0644\u0639\u0631\u0628\u064A\u0629"},ast:{menuTitle:"asturianu"},bg:{menuTitle:"\u0431\u044A\u043B\u0433\u0430\u0440\u0441\u043A\u0438"},bcc:{menuTitle:"\u0628\u0644\u0648\u0686\u06CC"},br:{menuTitle:"brezhoneg"},ca:{menuTitle:"catal\u00E0"},cdo:{menuTitle:"M\u00ECng-d\u0115\u0324ng-ng\u1E73\u0304"},cs:{menuTitle:"\u010De\u0161tina"},da:{menuTitle:"dansk"},de:{menuTitle:"Deutsch"},diq:{menuTitle:"Zazaki"},en:{menuTitle:"English",isLoaded:true},eo:{menuTitle:"Esperanto"},es:{menuTitle:"espa\u00F1ol"},fa:{menuTitle:"\u0641\u0627\u0631\u0633\u06CC"},fi:{menuTitle:"suomi"},fr:{menuTitle:"fran\u00E7ais"},gl:{menuTitle:"galego"},he:{menuTitle:"\u05E2\u05D1\u05E8\u05D9\u05EA"},ia:{menuTitle:"interlingua"},it:{menuTitle:"italiano"},ja:{menuTitle:"\u65E5\u672C\u8A9E"},kn:{menuTitle:"\u0C95\u0CA8\u0CCD\u0CA8\u0CA1"},ko:{menuTitle:"\uD55C\uAD6D\uC5B4"},lb:{menuTitle:"L\u00EBtzebuergesch"},lki:{menuTitle:"\u0644\u06D5\u06A9\u06CC"},lt:{menuTitle:"lietuvi\u0173"},mk:{menuTitle:"\u043C\u0430\u043A\u0435\u0434\u043E\u043D\u0441\u043A\u0438"},nl:{menuTitle:"Nederlands"},oc:{menuTitle:"occitan"},pl:{menuTitle:"polski"},pt:{menuTitle:"portugu\u00EAs"},"pt-br":{menuTitle:"portugu\u00EAs do Brasil"},ru:{menuTitle:"\u0440\u0443\u0441\u0441\u043A\u0438\u0439"},sco:{menuTitle:"Scots"},scn:{menuTitle:"sicilianu"},sk:{menuTitle:"sloven\u010Dina"},sl:{menuTitle:"sloven\u0161\u010Dina"},sv:{menuTitle:"svenska"},th:{menuTitle:"\u0E44\u0E17\u0E22"},tr:{menuTitle:"T\u00FCrk\u00E7e"},uk:{menuTitle:"\u0443\u043A\u0440\u0430\u0457\u043D\u0441\u044C\u043A\u0430"},vi:{menuTitle:"Ti\u1EBFng Vi\u1EC7t"},"zh-hans":{menuTitle:"\u4E2D\u6587\uFF08\u7B80\u4F53\uFF09"},"zh-hant":{menuTitle:"\u6C49\u8BED"}},pattern:/%(\d+|\{\d+\}|\{[a-z]+:\%\d+(?:\|(?:%\{\d+\}|%.|[^\}])*)+\}|.)/g,SPLIT:("axb".split(/(x)/).length===3?function(a,b){return a.split(b)}:function(c,e){var a=[],b,d=0;e.lastIndex=0;while((b=e.exec(c))){a.push(c.substr(d,b.index-d));a.push.apply(a,b.slice(1));d=b.index+b[0].length}a.push(c.substr(d));return a}),_:function(b,a){if(MathJax.Object.isArray(a)){return this.processSnippet(b,a)}return this.processString(this.lookupPhrase(b,a),[].slice.call(arguments,2))},processString:function(l,p,g){var j,e,o=MathJax.Object.isArray;for(j=0,e=p.length;j<e;j++){if(g&&o(p[j])){p[j]=this.processSnippet(g,p[j])}}var f=this.SPLIT(l,this.pattern);for(j=1,e=f.length;j<e;j+=2){var q=f[j].charAt(0);if(q>="0"&&q<="9"){f[j]=p[f[j]-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{if(q==="{"){q=f[j].substr(1);if(q>="0"&&q<="9"){f[j]=p[f[j].substr(1,f[j].length-2)-1];if(typeof f[j]==="number"){f[j]=this.number(f[j])}}else{var k=f[j].match(/^\{([a-z]+):%(\d+)\|(.*)\}$/);if(k){if(k[1]==="plural"){var d=p[k[2]-1];if(typeof d==="undefined"){f[j]="???"}else{d=this.plural(d)-1;var h=k[3].replace(/(^|[^%])(%%)*%\|/g,"$1$2%\uEFEF").split(/\|/);if(d>=0&&d<h.length){f[j]=this.processString(h[d].replace(/\uEFEF/g,"|"),p,g)}else{f[j]="???"}}}else{f[j]="%"+f[j]}}}}}if(f[j]==null){f[j]="???"}}if(!g){return f.join("")}var a=[],b="";for(j=0;j<e;j++){b+=f[j];j++;if(j<e){if(o(f[j])){a.push(b);a=a.concat(f[j]);b=""}else{b+=f[j]}}}if(b!==""){a.push(b)}return a},processSnippet:function(g,e){var c=[];for(var d=0,b=e.length;d<b;d++){if(MathJax.Object.isArray(e[d])){var f=e[d];if(typeof f[1]==="string"){var h=f[0];if(!MathJax.Object.isArray(h)){h=[g,h]}var a=this.lookupPhrase(h,f[1]);c=c.concat(this.processMarkdown(a,f.slice(2),g))}else{if(MathJax.Object.isArray(f[1])){c=c.concat(this.processSnippet.apply(this,f))}else{if(f.length>=3){c.push([f[0],f[1],this.processSnippet(g,f[2])])}else{c.push(e[d])}}}}else{c.push(e[d])}}return c},markdownPattern:/(%.)|(\*{1,3})((?:%.|.)+?)\2|(`+)((?:%.|.)+?)\4|\[((?:%.|.)+?)\]\(([^\s\)]+)\)/,processMarkdown:function(b,h,d){var j=[],e;var c=b.split(this.markdownPattern);var g=c[0];for(var f=1,a=c.length;f<a;f+=8){if(c[f+1]){e=this.processString(c[f+2],h,d);if(!MathJax.Object.isArray(e)){e=[e]}e=[["b","i","i"][c[f+1].length-1],{},e];if(c[f+1].length===3){e=["b",{},e]}}else{if(c[f+3]){e=this.processString(c[f+4].replace(/^\s/,"").replace(/\s$/,""),h,d);if(!MathJax.Object.isArray(e)){e=[e]}e=["code",{},e]}else{if(c[f+5]){e=this.processString(c[f+5],h,d);if(!MathJax.Object.isArray(e)){e=[e]}e=["a",{href:this.processString(c[f+6],h),target:"_blank"},e]}else{g+=c[f];e=null}}}if(e){j=this.concatString(j,g,h,d);j.push(e);g=""}if(c[f+7]!==""){g+=c[f+7]}}j=this.concatString(j,g,h,d);return j},concatString:function(a,c,b,d){if(c!=""){c=this.processString(c,b,d);if(!MathJax.Object.isArray(c)){c=[c]}a=a.concat(c)}return a},lookupPhrase:function(f,a,d){if(!d){d="_"}if(MathJax.Object.isArray(f)){d=(f[0]||"_");f=(f[1]||"")}var c=this.loadDomain(d);if(c){MathJax.Hub.RestartAfter(c)}var b=this.strings[this.locale];if(b){if(b.domains&&d in b.domains){var e=b.domains[d];if(e.strings&&f in e.strings){a=e.strings[f]}}}return a},loadFile:function(b,d,e){e=MathJax.Callback(e);b=(d.file||b);if(!b.match(/\.js$/)){b+=".js"}if(!b.match(/^([a-z]+:|\[MathJax\])/)){var a=(this.strings[this.locale].directory||this.directory+"/"+this.locale||"[MathJax]/localization/"+this.locale);b=a+"/"+b}var c=MathJax.Ajax.Require(b,function(){d.isLoaded=true;return e()});return(c.called?null:c)},loadDomain:function(c,e){var b,a=this.strings[this.locale];if(a){if(!a.isLoaded){b=this.loadFile(this.locale,a);if(b){return MathJax.Callback.Queue(b,["loadDomain",this,c]).Push(e||{})}}if(a.domains&&c in a.domains){var d=a.domains[c];if(!d.isLoaded){b=this.loadFile(c,d);if(b){return MathJax.Callback.Queue(b).Push(e)}}}}return MathJax.Callback(e)()},Try:function(a){a=MathJax.Callback(a);a.autoReset=true;try{a()}catch(b){if(!b.restart){throw b}MathJax.Callback.After(["Try",this,a],b.restart)}},resetLocale:function(a){if(!a){return}a=a.toLowerCase();while(!this.strings[a]){var c=a.lastIndexOf("-");if(c===-1){return}a=a.substring(0,c)}var b=this.strings[a].remap;this.locale=b?b:a;MathJax.Callback.Signal("Hub").Post(["Locale Reset",this.locale])},setLocale:function(a){this.resetLocale(a);if(MathJax.Menu){this.loadDomain("MathMenu")}},addTranslation:function(b,e,c){var d=this.strings[b],a=false;if(!d){d=this.strings[b]={};a=true}if(!d.domains){d.domains={}}if(e){if(!d.domains[e]){d.domains[e]={}}d=d.domains[e]}MathJax.Hub.Insert(d,c);if(a&&MathJax.Menu.menu){MathJax.Menu.CreateLocaleMenu()}},setCSS:function(b){var a=this.strings[this.locale];if(a){if(a.fontFamily){b.style.fontFamily=a.fontFamily}if(a.fontDirection){b.style.direction=a.fontDirection;if(a.fontDirection==="rtl"){b.style.textAlign="right"}}}return b},fontFamily:function(){var a=this.strings[this.locale];return(a?a.fontFamily:null)},fontDirection:function(){var a=this.strings[this.locale];return(a?a.fontDirection:null)},plural:function(b){var a=this.strings[this.locale];if(a&&a.plural){return a.plural(b)}if(b==1){return 1}return 2},number:function(b){var a=this.strings[this.locale];if(a&&a.number){return a.number(b)}return b}};MathJax.Message={ready:false,log:[{}],current:null,textNodeBug:(navigator.vendor==="Apple Computer, Inc."&&typeof navigator.vendorSub==="undefined")||(window.hasOwnProperty&&window.hasOwnProperty("konqueror")),styles:{"#MathJax_Message":{position:"fixed",left:"1px",bottom:"2px","background-color":"#E6E6E6",border:"1px solid #959595",margin:"0px",padding:"2px 8px","z-index":"102",color:"black","font-size":"80%",width:"auto","white-space":"nowrap"},"#MathJax_MSIE_Frame":{position:"absolute",top:0,left:0,width:"0px","z-index":101,border:"0px",margin:"0px",padding:"0px"}},browsers:{MSIE:function(a){MathJax.Message.msieFixedPositionBug=((document.documentMode||0)<7);if(MathJax.Message.msieFixedPositionBug){MathJax.Hub.config.styles["#MathJax_Message"].position="absolute"}MathJax.Message.quirks=(document.compatMode==="BackCompat")},Chrome:function(a){MathJax.Hub.config.styles["#MathJax_Message"].bottom="1.5em";MathJax.Hub.config.styles["#MathJax_Message"].left="1em"}},Init:function(a){if(a){this.ready=true}if(!document.body||!this.ready){return false}if(this.div&&this.div.parentNode==null){this.div=document.getElementById("MathJax_Message");this.text=(this.div?this.div.firstChild:null)}if(!this.div){var b=document.body;if(this.msieFixedPositionBug&&window.attachEvent){b=this.frame=this.addDiv(document.body);b.removeAttribute("id");b.style.position="absolute";b.style.border=b.style.margin=b.style.padding="0px";b.style.zIndex="101";b.style.height="0px";b=this.addDiv(b);b.id="MathJax_MSIE_Frame";window.attachEvent("onscroll",this.MoveFrame);window.attachEvent("onresize",this.MoveFrame);this.MoveFrame()}this.div=this.addDiv(b);this.div.style.display="none"}if(!this.text){this.text=this.div.appendChild(document.createTextNode(""))}return true},addDiv:function(a){var b=document.createElement("div");b.id="MathJax_Message";if(a.firstChild){a.insertBefore(b,a.firstChild)}else{a.appendChild(b)}return b},MoveFrame:function(){var a=(MathJax.Message.quirks?document.body:document.documentElement);var b=MathJax.Message.frame;b.style.left=a.scrollLeft+"px";b.style.top=a.scrollTop+"px";b.style.width=a.clientWidth+"px";b=b.firstChild;b.style.height=a.clientHeight+"px"},localize:function(a){return MathJax.Localization._(a,a)},filterText:function(a,c,b){if(MathJax.Hub.config.messageStyle==="simple"){if(b==="LoadFile"){if(!this.loading){this.loading=this.localize("Loading")+" "}a=this.loading;this.loading+="."}else{if(b==="ProcessMath"){if(!this.processing){this.processing=this.localize("Processing")+" "}a=this.processing;this.processing+="."}else{if(b==="TypesetMath"){if(!this.typesetting){this.typesetting=this.localize("Typesetting")+" "}a=this.typesetting;this.typesetting+="."}}}}return a},clearCounts:function(){delete this.loading;delete this.processing;delete this.typesetting},Set:function(c,e,b){if(e==null){e=this.log.length;this.log[e]={}}var d="";if(MathJax.Object.isArray(c)){d=c[0];if(MathJax.Object.isArray(d)){d=d[1]}try{c=MathJax.Localization._.apply(MathJax.Localization,c)}catch(a){if(!a.restart){throw a}if(!a.restart.called){if(this.log[e].restarted==null){this.log[e].restarted=0}this.log[e].restarted++;delete this.log[e].cleared;MathJax.Callback.After(["Set",this,c,e,b],a.restart);return e}}}if(this.timer){clearTimeout(this.timer);delete this.timer}this.log[e].text=c;this.log[e].filteredText=c=this.filterText(c,e,d);if(typeof(this.log[e].next)==="undefined"){this.log[e].next=this.current;if(this.current!=null){this.log[this.current].prev=e}this.current=e}if(this.current===e&&MathJax.Hub.config.messageStyle!=="none"){if(this.Init()){if(this.textNodeBug){this.div.innerHTML=c}else{this.text.nodeValue=c}this.div.style.display="";if(this.status){window.status="";delete this.status}}else{window.status=c;this.status=true}}if(this.log[e].restarted){if(this.log[e].cleared){b=0}if(--this.log[e].restarted===0){delete this.log[e].cleared}}if(b){setTimeout(MathJax.Callback(["Clear",this,e]),b)}else{if(b==0){this.Clear(e,0)}}return e},Clear:function(b,a){if(this.log[b].prev!=null){this.log[this.log[b].prev].next=this.log[b].next}if(this.log[b].next!=null){this.log[this.log[b].next].prev=this.log[b].prev}if(this.current===b){this.current=this.log[b].next;if(this.text){if(this.div.parentNode==null){this.Init()}if(this.current==null){if(this.timer){clearTimeout(this.timer);delete this.timer}if(a==null){a=600}if(a===0){this.Remove()}else{this.timer=setTimeout(MathJax.Callback(["Remove",this]),a)}}else{if(MathJax.Hub.config.messageStyle!=="none"){if(this.textNodeBug){this.div.innerHTML=this.log[this.current].filteredText}else{this.text.nodeValue=this.log[this.current].filteredText}}}if(this.status){window.status="";delete this.status}}else{if(this.status){window.status=(this.current==null?"":this.log[this.current].text)}}}delete this.log[b].next;delete this.log[b].prev;delete this.log[b].filteredText;if(this.log[b].restarted){this.log[b].cleared=true}},Remove:function(){this.text.nodeValue="";this.div.style.display="none"},File:function(a){return this.Set(["LoadFile","Loading %1",a],null,null)},Log:function(){var b=[];for(var c=1,a=this.log.length;c<a;c++){b[c]=this.log[c].text}return b.join("\n")}};MathJax.Hub={config:{root:"",config:[],styleSheets:[],styles:{".MathJax_Preview":{color:"#888",display:"contents"}},jax:[],extensions:[],preJax:null,postJax:null,displayAlign:"center",displayIndent:"0",preRemoveClass:"MathJax_Preview",showProcessingMessages:true,messageStyle:"normal",delayStartupUntil:"none",skipStartupTypeset:false,elements:[],positionToHash:true,showMathMenu:true,showMathMenuMSIE:true,menuSettings:{zoom:"None",CTRL:false,ALT:false,CMD:false,Shift:false,discoverable:false,zscale:"200%",renderer:null,font:"Auto",context:"MathJax",locale:null,mpContext:false,mpMouse:false,texHints:true,FastPreview:null,assistiveMML:null,inTabOrder:true,semantics:false},errorSettings:{message:["[",["MathProcessingError","Math Processing Error"],"]"],style:{color:"#CC0000","font-style":"italic"}},ignoreMMLattributes:{}},preProcessors:MathJax.Callback.Hooks(true),inputJax:{},outputJax:{order:{}},processSectionDelay:50,processUpdateTime:250,processUpdateDelay:10,signal:MathJax.Callback.Signal("Hub"),Config:function(a){this.Insert(this.config,a);if(this.config.Augment){this.Augment(this.config.Augment)}},CombineConfig:function(c,f){var b=this.config,g,e;c=c.split(/\./);for(var d=0,a=c.length;d<a;d++){g=c[d];if(!b[g]){b[g]={}}e=b;b=b[g]}e[g]=b=this.Insert(f,b);return b},Register:{PreProcessor:function(){return MathJax.Hub.preProcessors.Add.apply(MathJax.Hub.preProcessors,arguments)},MessageHook:function(){return MathJax.Hub.signal.MessageHook.apply(MathJax.Hub.signal,arguments)},StartupHook:function(){return MathJax.Hub.Startup.signal.MessageHook.apply(MathJax.Hub.Startup.signal,arguments)},LoadHook:function(){return MathJax.Ajax.LoadHook.apply(MathJax.Ajax,arguments)}},UnRegister:{PreProcessor:function(a){MathJax.Hub.preProcessors.Remove(a)},MessageHook:function(a){MathJax.Hub.signal.RemoveHook(a)},StartupHook:function(a){MathJax.Hub.Startup.signal.RemoveHook(a)},LoadHook:function(a){MathJax.Ajax.removeHook(a)}},getAllJax:function(e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax){c.push(b[d].MathJax.elementJax)}}return c},getJaxByType:function(f,e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax&&b[d].MathJax.elementJax.mimeType===f){c.push(b[d].MathJax.elementJax)}}return c},getJaxByInputType:function(f,e){var c=[],b=this.elementScripts(e);for(var d=0,a=b.length;d<a;d++){if(b[d].MathJax&&b[d].MathJax.elementJax&&b[d].type&&b[d].type.replace(/ *;(.|\s)*/,"")===f){c.push(b[d].MathJax.elementJax)}}return c},getJaxFor:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(a&&a.MathJax){return a.MathJax.elementJax}if(this.isMathJaxNode(a)){if(!a.isMathJax){a=a.firstChild}while(a&&!a.jaxID){a=a.parentNode}if(a){return MathJax.OutputJax[a.jaxID].getJaxFromMath(a)}}return null},isJax:function(a){if(typeof(a)==="string"){a=document.getElementById(a)}if(this.isMathJaxNode(a)){return 1}if(a&&(a.tagName||"").toLowerCase()==="script"){if(a.MathJax){return(a.MathJax.state===MathJax.ElementJax.STATE.PROCESSED?1:-1)}if(a.type&&this.inputJax[a.type.replace(/ *;(.|\s)*/,"")]){return -1}}return 0},isMathJaxNode:function(a){return !!a&&(a.isMathJax||(a.className||"")==="MathJax_MathML")},setRenderer:function(d,c){if(!d){return}var e=MathJax.OutputJax[d];if(!e){MathJax.OutputJax[d]=MathJax.OutputJax({id:"unknown",version:"1.0.0",isUnknown:true});this.config.menuSettings.renderer="";var b="[MathJax]/jax/output/"+d+"/config.js";return MathJax.Ajax.Require(b,["setRenderer",this,d,c])}else{this.config.menuSettings.renderer=d;if(c==null){c="jax/mml"}if(e.isUnknown){e.Register(c)}var a=this.outputJax;if(a[c]&&a[c].length){if(d!==a[c][0].id){a[c].unshift(e);return this.signal.Post(["Renderer Selected",d])}}return null}},Queue:function(){return this.queue.Push.apply(this.queue,arguments)},Typeset:function(c,d){if(!MathJax.isReady){return null}var b=this.elementCallback(c,d);if(b.count){var a=MathJax.Callback.Queue(["PreProcess",this,b.elements],["Process",this,b.elements])}return a.Push(b.callback)},PreProcess:function(e,g){var c=this.elementCallback(e,g);var b=MathJax.Callback.Queue();if(c.count){var f=(c.count===1?[c.elements]:c.elements);b.Push(["Post",this.signal,["Begin PreProcess",c.elements]]);for(var d=0,a=f.length;d<a;d++){if(f[d]){b.Push(["Execute",this.preProcessors,f[d]])}}b.Push(["Post",this.signal,["End PreProcess",c.elements]])}return b.Push(c.callback)},Process:function(a,b){return this.takeAction("Process",a,b)},Update:function(a,b){return this.takeAction("Update",a,b)},Reprocess:function(a,b){return this.takeAction("Reprocess",a,b)},Rerender:function(a,b){return this.takeAction("Rerender",a,b)},takeAction:function(g,d,h){var c=this.elementCallback(d,h);var f=c.elements;var a=MathJax.Callback.Queue(["Clear",this.signal]);var e={scripts:[],start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]};if(c.count){var b=["Delay",MathJax.Callback,this.processSectionDelay];if(!b[2]){b={}}a.Push(["clearCounts",MathJax.Message],["Post",this.signal,["Begin "+g,f]],["Post",this.signal,["Begin Math",f,g]],["prepareScripts",this,g,f,e],["Post",this.signal,["Begin Math Input",f,g]],["processInput",this,e],["Post",this.signal,["End Math Input",f,g]],b,["prepareOutput",this,e,"preProcess"],b,["Post",this.signal,["Begin Math Output",f,g]],["processOutput",this,e],["Post",this.signal,["End Math Output",f,g]],b,["prepareOutput",this,e,"postProcess"],b,["Post",this.signal,["End Math",f,g]],["Post",this.signal,["End "+g,f]],["clearCounts",MathJax.Message])}return a.Push(c.callback)},scriptAction:{Process:function(a){},Update:function(b){var a=b.MathJax.elementJax;if(a&&a.needsUpdate()){a.Remove(true);b.MathJax.state=a.STATE.UPDATE}else{b.MathJax.state=a.STATE.PROCESSED}},Reprocess:function(b){var a=b.MathJax.elementJax;if(a){a.Remove(true);b.MathJax.state=a.STATE.UPDATE}},Rerender:function(b){var a=b.MathJax.elementJax;if(a){a.Remove(true);b.MathJax.state=a.STATE.OUTPUT}}},prepareScripts:function(h,e,g){if(arguments.callee.disabled){return}var b=this.elementScripts(e);var f=MathJax.ElementJax.STATE;for(var d=0,a=b.length;d<a;d++){var c=b[d];if(c.type&&this.inputJax[c.type.replace(/ *;(.|\n)*/,"")]){if(c.MathJax){if(c.MathJax.elementJax&&c.MathJax.elementJax.hover){MathJax.Extension.MathEvents.Hover.ClearHover(c.MathJax.elementJax)}if(c.MathJax.state!==f.PENDING){this.scriptAction[h](c)}}if(!c.MathJax){c.MathJax={state:f.PENDING}}if(c.MathJax.error){delete c.MathJax.error}if(c.MathJax.state!==f.PROCESSED){g.scripts.push(c)}}}},checkScriptSiblings:function(a){if(a.MathJax.checked){return}var b=this.config,f=a.previousSibling;if(f&&f.nodeName==="#text"){var d,e,c=a.nextSibling;if(c&&c.nodeName!=="#text"){c=null}if(b.preJax){if(typeof(b.preJax)==="string"){b.preJax=new RegExp(b.preJax+"$")}d=f.nodeValue.match(b.preJax)}if(b.postJax&&c){if(typeof(b.postJax)==="string"){b.postJax=new RegExp("^"+b.postJax)}e=c.nodeValue.match(b.postJax)}if(d&&(!b.postJax||e)){f.nodeValue=f.nodeValue.replace(b.preJax,(d.length>1?d[1]:""));f=null}if(e&&(!b.preJax||d)){c.nodeValue=c.nodeValue.replace(b.postJax,(e.length>1?e[1]:""))}if(f&&!f.nodeValue.match(/\S/)){f=f.previousSibling}}if(b.preRemoveClass&&f&&f.className===b.preRemoveClass){a.MathJax.preview=f}a.MathJax.checked=1},processInput:function(a){var b,i=MathJax.ElementJax.STATE;var h,e,d=a.scripts.length;try{while(a.i<d){h=a.scripts[a.i];if(!h){a.i++;continue}e=h.previousSibling;if(e&&e.className==="MathJax_Error"){e.parentNode.removeChild(e)}if(!h.parentNode||!h.MathJax||h.MathJax.state===i.PROCESSED){a.i++;continue}if(!h.MathJax.elementJax||h.MathJax.state===i.UPDATE){this.checkScriptSiblings(h);var g=h.type.replace(/ *;(.|\s)*/,"");var j=this.inputJax[g];b=j.Process(h,a);if(typeof b==="function"){if(b.called){continue}this.RestartAfter(b)}b=b.Attach(h,j.id);this.saveScript(b,a,h,i);this.postInputHooks.Execute(b,j.id,h)}else{if(h.MathJax.state===i.OUTPUT){this.saveScript(h.MathJax.elementJax,a,h,i)}}a.i++;var c=new Date().getTime();if(c-a.start>this.processUpdateTime&&a.i<a.scripts.length){a.start=c;this.RestartAfter(MathJax.Callback.Delay(1))}}}catch(f){return this.processError(f,a,"Input")}if(a.scripts.length&&this.config.showProcessingMessages){MathJax.Message.Set(["ProcessMath","Processing math: %1%%",100],0)}a.start=new Date().getTime();a.i=a.j=0;return null},postInputHooks:MathJax.Callback.Hooks(true),saveScript:function(a,d,b,c){if(!this.outputJax[a.mimeType]){b.MathJax.state=c.UPDATE;throw Error("No output jax registered for "+a.mimeType)}a.outputJax=this.outputJax[a.mimeType][0].id;if(!d.jax[a.outputJax]){if(d.jaxIDs.length===0){d.jax[a.outputJax]=d.scripts}else{if(d.jaxIDs.length===1){d.jax[d.jaxIDs[0]]=d.scripts.slice(0,d.i)}d.jax[a.outputJax]=[]}d.jaxIDs.push(a.outputJax)}if(d.jaxIDs.length>1){d.jax[a.outputJax].push(b)}b.MathJax.state=c.OUTPUT},prepareOutput:function(c,f){while(c.j<c.jaxIDs.length){var e=c.jaxIDs[c.j],d=MathJax.OutputJax[e];if(d[f]){try{var a=d[f](c);if(typeof a==="function"){if(a.called){continue}this.RestartAfter(a)}}catch(b){if(!b.restart){MathJax.Message.Set(["PrepError","Error preparing %1 output (%2)",e,f],null,600);MathJax.Hub.lastPrepError=b;c.j++}return MathJax.Callback.After(["prepareOutput",this,c,f],b.restart)}}c.j++}return null},processOutput:function(h){var b,g=MathJax.ElementJax.STATE,d,a=h.scripts.length;try{while(h.i<a){d=h.scripts[h.i];if(!d||!d.parentNode||!d.MathJax||d.MathJax.error){h.i++;continue}var c=d.MathJax.elementJax;if(!c){h.i++;continue}b=MathJax.OutputJax[c.outputJax].Process(d,h);if(b!==false){d.MathJax.state=g.PROCESSED;if(d.MathJax.preview){d.MathJax.preview.innerHTML="";d.MathJax.preview.style.display="none"}this.signal.Post(["New Math",c.inputID])}h.i++;var e=new Date().getTime();if(e-h.start>this.processUpdateTime&&h.i<h.scripts.length){h.start=e;this.RestartAfter(MathJax.Callback.Delay(this.processUpdateDelay))}}}catch(f){return this.processError(f,h,"Output")}if(h.scripts.length&&this.config.showProcessingMessages){MathJax.Message.Set(["TypesetMath","Typesetting math: %1%%",100],0);MathJax.Message.Clear(0)}h.i=h.j=0;return null},processMessage:function(d,b){var a=Math.floor(d.i/(d.scripts.length)*100);var c=(b==="Output"?["TypesetMath","Typesetting math: %1%%"]:["ProcessMath","Processing math: %1%%"]);if(this.config.showProcessingMessages){MathJax.Message.Set(c.concat(a),0)}},processError:function(b,c,a){if(!b.restart){if(!this.config.errorSettings.message){throw b}this.formatError(c.scripts[c.i],b);c.i++}this.processMessage(c,a);return MathJax.Callback.After(["process"+a,this,c],b.restart)},formatError:function(b,f){var h=function(l,k,j,i){return MathJax.Localization._(l,k,j,i)};var e=h("ErrorMessage","Error: %1",f.message)+"\n";if(f.sourceURL||f.fileName){e+="\n"+h("ErrorFile","file: %1",f.sourceURL||f.fileName)}if(f.line||f.lineNumber){e+="\n"+h("ErrorLine","line: %1",f.line||f.lineNumber)}e+="\n\n"+h("ErrorTips","Debugging tips: use %1, inspect %2 in the browser console","'unpacked/MathJax.js'","'MathJax.Hub.lastError'");b.MathJax.error=MathJax.OutputJax.Error.Jax(e,b);if(b.MathJax.elementJax){b.MathJax.error.inputID=b.MathJax.elementJax.inputID}var g=this.config.errorSettings;var a=h(g.messageId,g.message);var c=MathJax.HTML.Element("span",{className:"MathJax_Error",jaxID:"Error",isMathJax:true,id:b.MathJax.error.inputID+"-Frame"},[["span",null,a]]);MathJax.Ajax.Require("[MathJax]/extensions/MathEvents.js",function(){var j=MathJax.Extension.MathEvents.Event,i=MathJax.Hub;c.oncontextmenu=j.Menu;c.onmousedown=j.Mousedown;c.onkeydown=j.Keydown;c.tabIndex=i.getTabOrder(i.getJaxFor(b))});var d=document.getElementById(c.id);if(d){d.parentNode.removeChild(d)}if(b.parentNode){b.parentNode.insertBefore(c,b)}if(b.MathJax.preview){b.MathJax.preview.innerHTML="";b.MathJax.preview.style.display="none"}this.lastError=f;this.signal.Post(["Math Processing Error",b,f])},RestartAfter:function(a){throw this.Insert(Error("restart"),{restart:MathJax.Callback(a)})},elementCallback:function(c,f){if(f==null&&(MathJax.Object.isArray(c)||typeof c==="function")){try{MathJax.Callback(c);f=c;c=null}catch(d){}}if(c==null){c=this.config.elements||[]}if(this.isHTMLCollection(c)){c=this.HTMLCollection2Array(c)}if(!MathJax.Object.isArray(c)){c=[c]}c=[].concat(c);for(var b=0,a=c.length;b<a;b++){if(typeof(c[b])==="string"){c[b]=document.getElementById(c[b])}}if(!document.body){document.body=document.getElementsByTagName("body")[0]}if(c.length==0){c.push(document.body)}if(!f){f={}}return{count:c.length,elements:(c.length===1?c[0]:c),callback:f}},elementScripts:function(e){var b=[];if(MathJax.Object.isArray(e)||this.isHTMLCollection(e)){for(var d=0,a=e.length;d<a;d++){var f=0;for(var c=0;c<d&&!f;c++){f=e[c].contains(e[d])}if(!f){b.push.apply(b,this.elementScripts(e[d]))}}return b}if(typeof(e)==="string"){e=document.getElementById(e)}if(!document.body){document.body=document.getElementsByTagName("body")[0]}if(e==null){e=document.body}if(e.tagName!=null&&e.tagName.toLowerCase()==="script"){return[e]}b=e.getElementsByTagName("script");if(this.msieHTMLCollectionBug){b=this.HTMLCollection2Array(b)}return b},isHTMLCollection:function(a){return("HTMLCollection" in window&&typeof(a)==="object"&&a instanceof HTMLCollection)},HTMLCollection2Array:function(c){if(!this.msieHTMLCollectionBug){return[].slice.call(c)}var b=[];for(var d=0,a=c.length;d<a;d++){b[d]=c[d]}return b},Insert:function(c,a){for(var b in a){if(a.hasOwnProperty(b)){if(typeof a[b]==="object"&&!(MathJax.Object.isArray(a[b]))&&(typeof c[b]==="object"||typeof c[b]==="function")){this.Insert(c[b],a[b])}else{c[b]=a[b]}}}return c},getTabOrder:function(a){return this.config.menuSettings.inTabOrder?0:-1},SplitList:("trim" in String.prototype?function(a){return a.trim().split(/\s+/)}:function(a){return a.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s+/)})};MathJax.Hub.Insert(MathJax.Hub.config.styles,MathJax.Message.styles);MathJax.Hub.Insert(MathJax.Hub.config.styles,{".MathJax_Error":MathJax.Hub.config.errorSettings.style});MathJax.Extension={};MathJax.Hub.Configured=MathJax.Callback({});MathJax.Hub.Startup={script:"",queue:MathJax.Callback.Queue(),signal:MathJax.Callback.Signal("Startup"),params:{},Config:function(){this.queue.Push(["Post",this.signal,"Begin Config"]);if(MathJax.AuthorConfig&&MathJax.AuthorConfig.root){MathJax.Ajax.config.root=MathJax.AuthorConfig.root}if(this.params.locale){MathJax.Localization.resetLocale(this.params.locale);MathJax.Hub.config.menuSettings.locale=this.params.locale}if(this.params.config){var c=this.params.config.split(/,/);for(var b=0,a=c.length;b<a;b++){if(!c[b].match(/\.js$/)){c[b]+=".js"}this.queue.Push(["Require",MathJax.Ajax,this.URL("config",c[b])])}}this.queue.Push(["Config",MathJax.Hub,MathJax.AuthorConfig]);if(this.script.match(/\S/)){this.queue.Push(this.script+";\n1;")}this.queue.Push(["ConfigDelay",this],["ConfigBlocks",this],[function(d){return d.loadArray(MathJax.Hub.config.config,"config",null,true)},this],["Post",this.signal,"End Config"])},ConfigDelay:function(){var a=this.params.delayStartupUntil||MathJax.Hub.config.delayStartupUntil;if(a==="onload"){return this.onload}if(a==="configured"){return MathJax.Hub.Configured}return a},ConfigBlocks:function(){var c=document.getElementsByTagName("script");var b=MathJax.Callback.Queue();for(var d=0,a=c.length;d<a;d++){var e=String(c[d].type).replace(/ /g,"");if(e.match(/^text\/x-mathjax-config(;.*)?$/)&&!e.match(/;executed=true/)){c[d].type+=";executed=true";b.Push(c[d].innerHTML+";\n1;")}}return b.Push(function(){MathJax.Ajax.config.root=MathJax.Hub.config.root})},Cookie:function(){return this.queue.Push(["Post",this.signal,"Begin Cookie"],["Get",MathJax.HTML.Cookie,"menu",MathJax.Hub.config.menuSettings],[function(e){var d=e.menuSettings;if(d.locale){MathJax.Localization.resetLocale(d.locale)}var g=e.menuSettings.renderer,b=e.jax;if(g){var c="output/"+g;b.sort();for(var f=0,a=b.length;f<a;f++){if(b[f].substr(0,7)==="output/"){break}}if(f==a-1){b.pop()}else{while(f<a){if(b[f]===c){b.splice(f,1);break}f++}}b.unshift(c)}if(d.CHTMLpreview!=null){if(d.FastPreview==null){d.FastPreview=d.CHTMLpreview}delete d.CHTMLpreview}if(d.FastPreview&&!MathJax.Extension["fast-preview"]){MathJax.Hub.config.extensions.push("fast-preview.js")}if(e.menuSettings.assistiveMML&&!MathJax.Extension.AssistiveMML){MathJax.Hub.config.extensions.push("AssistiveMML.js")}},MathJax.Hub.config],["Post",this.signal,"End Cookie"])},Styles:function(){return this.queue.Push(["Post",this.signal,"Begin Styles"],["loadArray",this,MathJax.Hub.config.styleSheets,"config"],["Styles",MathJax.Ajax,MathJax.Hub.config.styles],["Post",this.signal,"End Styles"])},Jax:function(){var f=MathJax.Hub.config,c=MathJax.Hub.outputJax;for(var g=0,b=f.jax.length,d=0;g<b;g++){var e=f.jax[g].substr(7);if(f.jax[g].substr(0,7)==="output/"&&c.order[e]==null){c.order[e]=d;d++}}var a=MathJax.Callback.Queue();return a.Push(["Post",this.signal,"Begin Jax"],["loadArray",this,f.jax,"jax","config.js"],["Post",this.signal,"End Jax"])},Extensions:function(){var a=MathJax.Callback.Queue();return a.Push(["Post",this.signal,"Begin Extensions"],["loadArray",this,MathJax.Hub.config.extensions,"extensions"],["Post",this.signal,"End Extensions"])},Message:function(){MathJax.Message.Init(true)},Menu:function(){var b=MathJax.Hub.config.menuSettings,a=MathJax.Hub.outputJax,d;for(var c in a){if(a.hasOwnProperty(c)){if(a[c].length){d=a[c];break}}}if(d&&d.length){if(b.renderer&&b.renderer!==d[0].id){d.unshift(MathJax.OutputJax[b.renderer])}b.renderer=d[0].id}},Hash:function(){if(MathJax.Hub.config.positionToHash&&document.location.hash&&document.body&&document.body.scrollIntoView){var d=decodeURIComponent(document.location.hash.substr(1));var f=document.getElementById(d);if(!f){var c=document.getElementsByTagName("a");for(var e=0,b=c.length;e<b;e++){if(c[e].name===d){f=c[e];break}}}if(f){while(!f.scrollIntoView){f=f.parentNode}f=this.HashCheck(f);if(f&&f.scrollIntoView){setTimeout(function(){f.scrollIntoView(true)},1)}}}},HashCheck:function(b){var a=MathJax.Hub.getJaxFor(b);if(a&&MathJax.OutputJax[a.outputJax].hashCheck){b=MathJax.OutputJax[a.outputJax].hashCheck(b)}return b},MenuZoom:function(){if(MathJax.Hub.config.showMathMenu){if(!MathJax.Extension.MathMenu){setTimeout(function(){MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/MathMenu.js",{}],["loadDomain",MathJax.Localization,"MathMenu"])},1000)}else{setTimeout(MathJax.Callback(["loadDomain",MathJax.Localization,"MathMenu"]),1000)}if(!MathJax.Extension.MathZoom){setTimeout(MathJax.Callback(["Require",MathJax.Ajax,"[MathJax]/extensions/MathZoom.js",{}]),2000)}}},onLoad:function(){var a=this.onload=MathJax.Callback(function(){MathJax.Hub.Startup.signal.Post("onLoad")});if(document.body&&document.readyState){if(MathJax.Hub.Browser.isMSIE){if(document.readyState==="complete"){return[a]}}else{if(document.readyState!=="loading"){return[a]}}}if(window.addEventListener){window.addEventListener("load",a,false);if(!this.params.noDOMContentEvent){window.addEventListener("DOMContentLoaded",a,false)}}else{if(window.attachEvent){window.attachEvent("onload",a)}else{window.onload=a}}return a},Typeset:function(a,b){if(MathJax.Hub.config.skipStartupTypeset){return function(){}}return this.queue.Push(["Post",this.signal,"Begin Typeset"],["Typeset",MathJax.Hub,a,b],["Post",this.signal,"End Typeset"])},URL:function(b,a){if(!a.match(/^([a-z]+:\/\/|\[|\/)/)){a="[MathJax]/"+b+"/"+a}return a},loadArray:function(b,f,c,a){if(b){if(!MathJax.Object.isArray(b)){b=[b]}if(b.length){var h=MathJax.Callback.Queue(),j={},e;for(var g=0,d=b.length;g<d;g++){e=this.URL(f,b[g]);if(c){e+="/"+c}if(a){h.Push(["Require",MathJax.Ajax,e,j])}else{h.Push(MathJax.Ajax.Require(e,j))}}return h.Push({})}}return null}};(function(d){var b=window[d],e="["+d+"]";var c=b.Hub,a=b.Ajax,f=b.Callback;var g=MathJax.Object.Subclass({JAXFILE:"jax.js",require:null,config:{},Init:function(i,h){if(arguments.length===0){return this}return(this.constructor.Subclass(i,h))()},Augment:function(k,j){var i=this.constructor,h={};if(k!=null){for(var l in k){if(k.hasOwnProperty(l)){if(typeof k[l]==="function"){i.protoFunction(l,k[l])}else{h[l]=k[l]}}}if(k.toString!==i.prototype.toString&&k.toString!=={}.toString){i.protoFunction("toString",k.toString)}}c.Insert(i.prototype,h);i.Augment(null,j);return this},Translate:function(h,i){throw Error(this.directory+"/"+this.JAXFILE+" failed to define the Translate() method")},Register:function(h){},Config:function(){this.config=c.CombineConfig(this.id,this.config);if(this.config.Augment){this.Augment(this.config.Augment)}},Startup:function(){},loadComplete:function(i){if(i==="config.js"){return a.loadComplete(this.directory+"/"+i)}else{var h=f.Queue();h.Push(c.Register.StartupHook("End Config",{}),["Post",c.Startup.signal,this.id+" Jax Config"],["Config",this],["Post",c.Startup.signal,this.id+" Jax Require"],[function(j){return MathJax.Hub.Startup.loadArray(j.require,this.directory)},this],[function(j,k){return MathJax.Hub.Startup.loadArray(j.extensions,"extensions/"+k)},this.config||{},this.id],["Post",c.Startup.signal,this.id+" Jax Startup"],["Startup",this],["Post",c.Startup.signal,this.id+" Jax Ready"]);if(this.copyTranslate){h.Push([function(j){j.preProcess=j.preTranslate;j.Process=j.Translate;j.postProcess=j.postTranslate},this.constructor.prototype])}return h.Push(["loadComplete",a,this.directory+"/"+i])}}},{id:"Jax",version:"2.7.9",directory:e+"/jax",extensionDir:e+"/extensions"});b.InputJax=g.Subclass({elementJax:"mml",sourceMenuTitle:["Original","Original Form"],copyTranslate:true,Process:function(l,q){var j=f.Queue(),o;var k=this.elementJax;if(!b.Object.isArray(k)){k=[k]}for(var n=0,h=k.length;n<h;n++){o=b.ElementJax.directory+"/"+k[n]+"/"+this.JAXFILE;if(!this.require){this.require=[]}else{if(!b.Object.isArray(this.require)){this.require=[this.require]}}this.require.push(o);j.Push(a.Require(o))}o=this.directory+"/"+this.JAXFILE;var p=j.Push(a.Require(o));if(!p.called){this.constructor.prototype.Process=function(){if(!p.called){return p}throw Error(o+" failed to load properly")}}k=c.outputJax["jax/"+k[0]];if(k){j.Push(a.Require(k[0].directory+"/"+this.JAXFILE))}return j.Push({})},needsUpdate:function(h){var i=h.SourceElement();return(h.originalText!==b.HTML.getScript(i))},Register:function(h){if(!c.inputJax){c.inputJax={}}c.inputJax[h]=this}},{id:"InputJax",version:"2.7.9",directory:g.directory+"/input",extensionDir:g.extensionDir});b.OutputJax=g.Subclass({copyTranslate:true,preProcess:function(j){var i,h=this.directory+"/"+this.JAXFILE;this.constructor.prototype.preProcess=function(k){if(!i.called){return i}throw Error(h+" failed to load properly")};i=a.Require(h);return i},Process:function(h){throw Error(this.id+" output jax failed to load properly")},Register:function(i){var h=c.outputJax;if(!h[i]){h[i]=[]}if(h[i].length&&(this.id===c.config.menuSettings.renderer||(h.order[this.id]||0)<(h.order[h[i][0].id]||0))){h[i].unshift(this)}else{h[i].push(this)}if(!this.require){this.require=[]}else{if(!b.Object.isArray(this.require)){this.require=[this.require]}}this.require.push(b.ElementJax.directory+"/"+(i.split(/\//)[1])+"/"+this.JAXFILE)},Remove:function(h){}},{id:"OutputJax",version:"2.7.9",directory:g.directory+"/output",extensionDir:g.extensionDir,fontDir:e+(b.isPacked?"":"/..")+"/fonts",imageDir:e+(b.isPacked?"":"/..")+"/images"});b.ElementJax=g.Subclass({Init:function(i,h){return this.constructor.Subclass(i,h)},inputJax:null,outputJax:null,inputID:null,originalText:"",mimeType:"",sourceMenuTitle:["MathMLcode","MathML Code"],Text:function(i,j){var h=this.SourceElement();b.HTML.setScript(h,i);h.MathJax.state=this.STATE.UPDATE;return c.Update(h,j)},Reprocess:function(i){var h=this.SourceElement();h.MathJax.state=this.STATE.UPDATE;return c.Reprocess(h,i)},Update:function(h){return this.Rerender(h)},Rerender:function(i){var h=this.SourceElement();h.MathJax.state=this.STATE.OUTPUT;return c.Process(h,i)},Remove:function(h){if(this.hover){this.hover.clear(this)}b.OutputJax[this.outputJax].Remove(this);if(!h){c.signal.Post(["Remove Math",this.inputID]);this.Detach()}},needsUpdate:function(){return b.InputJax[this.inputJax].needsUpdate(this)},SourceElement:function(){return document.getElementById(this.inputID)},Attach:function(i,j){var h=i.MathJax.elementJax;if(i.MathJax.state===this.STATE.UPDATE){h.Clone(this)}else{h=i.MathJax.elementJax=this;if(i.id){this.inputID=i.id}else{i.id=this.inputID=b.ElementJax.GetID();this.newID=1}}h.originalText=b.HTML.getScript(i);h.inputJax=j;if(h.root){h.root.inputID=h.inputID}return h},Detach:function(){var h=this.SourceElement();if(!h){return}try{delete h.MathJax}catch(i){h.MathJax=null}if(this.newID){h.id=""}},Clone:function(h){var i;for(i in this){if(!this.hasOwnProperty(i)){continue}if(typeof(h[i])==="undefined"&&i!=="newID"){delete this[i]}}for(i in h){if(!h.hasOwnProperty(i)){continue}if(typeof(this[i])==="undefined"||(this[i]!==h[i]&&i!=="inputID")){this[i]=h[i]}}}},{id:"ElementJax",version:"2.7.9",directory:g.directory+"/element",extensionDir:g.extensionDir,ID:0,STATE:{PENDING:1,PROCESSED:2,UPDATE:3,OUTPUT:4},GetID:function(){this.ID++;return"MathJax-Element-"+this.ID},Subclass:function(){var h=g.Subclass.apply(this,arguments);h.loadComplete=this.prototype.loadComplete;return h}});b.ElementJax.prototype.STATE=b.ElementJax.STATE;b.OutputJax.Error={id:"Error",version:"2.7.9",config:{},errors:0,ContextMenu:function(){return b.Extension.MathEvents.Event.ContextMenu.apply(b.Extension.MathEvents.Event,arguments)},Mousedown:function(){return b.Extension.MathEvents.Event.AltContextMenu.apply(b.Extension.MathEvents.Event,arguments)},getJaxFromMath:function(h){return(h.nextSibling.MathJax||{}).error},Jax:function(j,i){var h=MathJax.Hub.inputJax[i.type.replace(/ *;(.|\s)*/,"")];this.errors++;return{inputJax:(h||{id:"Error"}).id,outputJax:"Error",inputID:"MathJax-Error-"+this.errors,sourceMenuTitle:["ErrorMessage","Error Message"],sourceMenuFormat:"Error",originalText:MathJax.HTML.getScript(i),errorText:j}}};b.InputJax.Error={id:"Error",version:"2.7.9",config:{},sourceMenuTitle:["Original","Original Form"]}})("MathJax");(function(o){var h=window[o];if(!h){h=window[o]={}}var d=h.Hub;var s=d.Startup;var w=d.config;var g=document.head||(document.getElementsByTagName("head")[0]);if(!g){g=document.childNodes[0]}var b=(document.documentElement||document).getElementsByTagName("script");if(b.length===0&&g.namespaceURI){b=document.getElementsByTagNameNS(g.namespaceURI,"script")}var f=new RegExp("(^|/)"+o+"\\.js(\\?.*)?$");for(var q=b.length-1;q>=0;q--){if((b[q].src||"").match(f)){s.script=b[q].innerHTML;if(RegExp.$2){var t=RegExp.$2.substr(1).split(/\&/);for(var p=0,l=t.length;p<l;p++){var n=t[p].match(/(.*)=(.*)/);if(n){s.params[unescape(n[1])]=unescape(n[2])}else{s.params[t[p]]=true}}}w.root=b[q].src.replace(/(^|\/)[^\/]*(\?.*)?$/,"");h.Ajax.config.root=w.root;h.Ajax.params=s.params;break}}var k=navigator.userAgent;var a={isMac:(navigator.platform.substr(0,3)==="Mac"),isPC:(navigator.platform.substr(0,3)==="Win"),isMSIE:("ActiveXObject" in window&&"clipboardData" in window),isEdge:("MSGestureEvent" in window&&"chrome" in window&&window.chrome.loadTimes==null),isFirefox:(!!k.match(/Gecko\//)&&!k.match(/like Gecko/)),isSafari:(!!k.match(/ (Apple)?WebKit\//)&&!k.match(/ like iPhone /)&&(!window.chrome||window.chrome.app==null)),isChrome:("chrome" in window&&window.chrome.loadTimes!=null),isOpera:("opera" in window&&window.opera.version!=null),isKonqueror:("konqueror" in window&&navigator.vendor=="KDE"),versionAtLeast:function(y){var x=(this.version).split(".");y=(new String(y)).split(".");for(var z=0,j=y.length;z<j;z++){if(x[z]!=y[z]){return parseInt(x[z]||"0")>=parseInt(y[z])}}return true},Select:function(j){var i=j[d.Browser];if(i){return i(d.Browser)}return null}};var e=k.replace(/^Mozilla\/(\d+\.)+\d+ /,"").replace(/[a-z][-a-z0-9._: ]+\/\d+[^ ]*-[^ ]*\.([a-z][a-z])?\d+ /i,"").replace(/Gentoo |Ubuntu\/(\d+\.)*\d+ (\([^)]*\) )?/,"");d.Browser=d.Insert(d.Insert(new String("Unknown"),{version:"0.0"}),a);for(var v in a){if(a.hasOwnProperty(v)){if(a[v]&&v.substr(0,2)==="is"){v=v.slice(2);if(v==="Mac"||v==="PC"){continue}d.Browser=d.Insert(new String(v),a);var r=new RegExp(".*(Version/| Trident/.*; rv:)((?:\\d+\\.)+\\d+)|.*("+v+")"+(v=="MSIE"?" ":"/")+"((?:\\d+\\.)*\\d+)|(?:^|\\(| )([a-z][-a-z0-9._: ]+|(?:Apple)?WebKit)/((?:\\d+\\.)+\\d+)");var u=r.exec(e)||["","","","unknown","0.0"];d.Browser.name=(u[1]!=""?v:(u[3]||u[5]));d.Browser.version=u[2]||u[4]||u[6];break}}}try{d.Browser.Select({Safari:function(j){var i=parseInt((String(j.version).split("."))[0]);if(i>85){j.webkit=j.version}if(i>=538){j.version="8.0"}else{if(i>=537){j.version="7.0"}else{if(i>=536){j.version="6.0"}else{if(i>=534){j.version="5.1"}else{if(i>=533){j.version="5.0"}else{if(i>=526){j.version="4.0"}else{if(i>=525){j.version="3.1"}else{if(i>500){j.version="3.0"}else{if(i>400){j.version="2.0"}else{if(i>85){j.version="1.0"}}}}}}}}}}j.webkit=(navigator.appVersion.match(/WebKit\/(\d+)\./))[1];j.isMobile=(navigator.appVersion.match(/Mobile/i)!=null);j.noContextMenu=j.isMobile},Firefox:function(j){if((j.version==="0.0"||k.match(/Firefox/)==null)&&navigator.product==="Gecko"){var m=k.match(/[\/ ]rv:(\d+\.\d.*?)[\) ]/);if(m){j.version=m[1]}else{var i=(navigator.buildID||navigator.productSub||"0").substr(0,8);if(i>="20111220"){j.version="9.0"}else{if(i>="20111120"){j.version="8.0"}else{if(i>="20110927"){j.version="7.0"}else{if(i>="20110816"){j.version="6.0"}else{if(i>="20110621"){j.version="5.0"}else{if(i>="20110320"){j.version="4.0"}else{if(i>="20100121"){j.version="3.6"}else{if(i>="20090630"){j.version="3.5"}else{if(i>="20080617"){j.version="3.0"}else{if(i>="20061024"){j.version="2.0"}}}}}}}}}}}}j.isMobile=(navigator.appVersion.match(/Android/i)!=null||k.match(/ Fennec\//)!=null||k.match(/Mobile/)!=null)},Chrome:function(i){i.noContextMenu=i.isMobile=!!navigator.userAgent.match(/ Mobile[ \/]/)},Opera:function(i){i.version=opera.version()},Edge:function(i){i.isMobile=!!navigator.userAgent.match(/ Phone/)},MSIE:function(j){j.isMobile=!!navigator.userAgent.match(/ Phone/);j.isIE9=!!(document.documentMode&&(window.performance||window.msPerformance));MathJax.HTML.setScriptBug=!j.isIE9||document.documentMode<9;MathJax.Hub.msieHTMLCollectionBug=(document.documentMode<9);if(document.documentMode<10&&!s.params.NoMathPlayer){try{new ActiveXObject("MathPlayer.Factory.1");j.hasMathPlayer=true}catch(m){}try{if(j.hasMathPlayer){var i=document.createElement("object");i.id="mathplayer";i.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";g.appendChild(i);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");j.mpNamespace=true;if(document.readyState&&(document.readyState==="loading"||document.readyState==="interactive")){document.write('<?import namespace="m" implementation="#MathPlayer">');j.mpImported=true}}else{document.namespaces.add("mjx_IE_fix","http://www.w3.org/1999/xlink")}}catch(m){}}}})}catch(c){console.error(c.message)}d.Browser.Select(MathJax.Message.browsers);if(h.AuthorConfig&&typeof h.AuthorConfig.AuthorInit==="function"){h.AuthorConfig.AuthorInit()}d.queue=h.Callback.Queue();d.queue.Push(["Post",s.signal,"Begin"],["Config",s],["Cookie",s],["Styles",s],["Message",s],function(){var i=h.Callback.Queue(s.Jax(),s.Extensions());return i.Push({})},["Menu",s],s.onLoad(),function(){MathJax.isReady=true},["Typeset",s],["Hash",s],["MenuZoom",s],["Post",s.signal,"End"])})("MathJax")}};
diff --git a/README.md b/README.md
index 7ca6f7e4ba..bbce2c77cf 100644
--- a/README.md
+++ b/README.md
@@ -1,4 +1,5 @@
-# MathJax
+# MathJax <img alt="GitHub package.json version (branch)" src="https://img.shields.io/github/package-json/v/mathjax/MathJax/legacy-v2.svg">
+
 
 ## Beautiful math in all browsers
 
diff --git a/config/AM_CHTML-full.js b/config/AM_CHTML-full.js
index 20db1ecd6b..771da2561d 100644
--- a/config/AM_CHTML-full.js
+++ b/config/AM_CHTML-full.js
@@ -35,19 +35,107 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
-(function(o,f,m,a){var d;var g=MathJax.Object.isArray;var e,q,h;var k=1,l=0.1,j=0.025,b=0.025;var p={".mjx-chtml":{display:"inline-block","line-height":0,"text-indent":0,"text-align":"left","text-transform":"none","font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","letter-spacing":"normal","word-wrap":"normal","word-spacing":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,margin:0,padding:"1px 0"},".MJXc-display":{display:"block","text-align":"center",margin:"1em 0",padding:0},".mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex]":{display:"inline-table"},".mjx-full-width":{"text-align":"center",display:"table-cell!important",width:"10000em"},".mjx-math":{display:"inline-block","border-collapse":"separate","border-spacing":0},".mjx-math *":{display:"inline-block","-webkit-box-sizing":"content-box!important","-moz-box-sizing":"content-box!important","box-sizing":"content-box!important","text-align":"left"},".mjx-numerator":{display:"block","text-align":"center"},".mjx-denominator":{display:"block","text-align":"center"},".MJXc-stacked":{height:0,position:"relative"},".MJXc-stacked > *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v<s;v++){var y=x.childNodes[v];if(y){if(u.test(y.className)){return y}if(y.id===""){t.push(y)}}}x=t.shift()}return null},preTranslate:function(w){var v=w.jax[this.id],E,B=v.length,H,z,C,F,t,G,s,I;var y=100000,x=false,D=0,u=c.automatic,A=c.width;if(u){x=!!A.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/);if(x){A=A.replace(/\s*container\s*/,"")}else{y=this.defaultWidth}if(A===""){A="100%"}}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}z=H.previousSibling;if(z&&z.className&&String(z.className).substr(0,9)==="mjx-chtml"){z.parentNode.removeChild(z)}if(H.MathJax.preview){H.MathJax.preview.style.display="none"}t=H.MathJax.elementJax;if(!t){continue}t.CHTML={display:(t.root.Get("display")==="block"),preview:(t.CHTML||{}).preview};C=a.Element("mjx-chtml",{id:t.inputID+"-Frame",className:"MathJax_CHTML",isMathJax:true,jaxID:this.id,oncontextmenu:e.Menu,onmousedown:e.Mousedown,onmouseover:e.Mouseover,onmouseout:e.Mouseout,onmousemove:e.Mousemove,onclick:e.Click,ondblclick:e.DblClick,onkeydown:e.Keydown,tabIndex:f.getTabOrder(t)});if(t.CHTML.display){var J=a.Element("mjx-chtml",{className:"MJXc-display",isMathJax:false});J.appendChild(C);C=J}if(f.Browser.noContextMenu){C.ontouchstart=q.start;C.ontouchend=q.end}C.className+=" MJXc-processing";H.parentNode.insertBefore(C,H);F=this.TestSpan.cloneNode(true);F.className+=" mjx-test-"+(t.CHTML.display?"display":"inline");H.parentNode.insertBefore(F,H)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}F=H.previousSibling;t=H.MathJax.elementJax;if(!t){continue}s=a.getFontSize(F);G=F.childNodes[1].offsetHeight/60;D=Math.max(0,t.CHTML.display?F.lastChild.offsetWidth-1:F.lastChild.offsetLeft-F.firstChild.offsetLeft-2);if(G===0||G==="NaN"){G=this.defaultEx;D=this.defaultWidth}if(D===0&&!t.CHTML.display){D=this.defaultWidth}if(x){y=D}I=(this.config.matchFontHeight?G/this.TEX.x_height/s:1);I=Math.floor(Math.max(this.config.minScaleAdjust/100,I)*this.config.scale);t.CHTML.scale=I/100;t.CHTML.fontSize=I+"%";t.CHTML.outerEm=s;t.CHTML.em=this.em=s*I/100;t.CHTML.ex=G;t.CHTML.cwidth=D/this.em;t.CHTML.lineWidth=(u?this.length2em(A,y/this.em,1):y)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}t=H.MathJax.elementJax;if(!t){continue}H.parentNode.removeChild(H.previousSibling);if(H.MathJax.preview){H.MathJax.preview.style.display=""}}w.CHTMLeqn=w.CHTMLlast=0;w.CHTMLi=-1;w.CHTMLchunk=this.config.EqnChunk;w.CHTMLdelay=false},Translate:function(t,x){if(!t.parentNode){return}if(x.CHTMLdelay){x.CHTMLdelay=false;f.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var s=t.MathJax.elementJax,w=s.root,v=document.getElementById(s.inputID+"-Frame");if(!v){return}this.getMetrics(s);if(this.scale!==1){v.style.fontSize=s.CHTML.fontSize}this.initCHTML(w,v);this.savePreview(t);this.CHTMLnode=v;try{w.setTeXclass();w.toCommonHTML(v)}catch(u){while(v.firstChild){v.removeChild(v.firstChild)}delete this.CHTMLnode;this.restorePreview(t);throw u}delete this.CHTMLnode;this.restorePreview(t);if(s.CHTML.display){v=v.parentNode}v.className=v.className.replace(/ [^ ]+$/,"");v.className+=" MJXc-processed";if(t.MathJax.preview){s.CHTML.preview=t.MathJax.preview;delete t.MathJax.preview}x.CHTMLeqn+=(x.i-x.CHTMLi);x.CHTMLi=x.i;if(x.CHTMLeqn>=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;v<s;v++){var u=t[v];if(u&&u.MathJax.elementJax){u.previousSibling.className=u.previousSibling.className.replace(/ [^ ]+$/,"");var w=u.MathJax.elementJax.CHTML;if(w.preview){w.preview.innerHTML="";u.MathJax.preview=w.preview;delete w.preview}}}x.CHTMLlast=x.CHTMLeqn},getJaxFromMath:function(s){if(s.parentNode.className.match(/MJXc-display/)){s=s.parentNode}do{s=s.nextSibling}while(s&&s.nodeName.toLowerCase()!=="script");return f.getJaxFor(s)},getHoverSpan:function(s,t){return s.root.CHTMLnodeElement()},getHoverBBox:function(s,v,w){var x=s.root.CHTML,u=s.CHTML.outerEm;var t={w:x.w*u,h:x.h*u,d:x.d*u};if(x.width){t.width=x.width}return t},Zoom:function(u,B,A,s,y){this.getMetrics(u);var v=a.addElement(B,"mjx-chtml",{style:{"font-size":Math.floor(a.scale*100)+"%"},isMathJax:false});a.CHTMLnode=v;this.idPostfix="-zoom";u.root.toCommonHTML(v);this.idPostfix="";var t=v.style,C=u.root.CHTML;if(C.t>C.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u<z;u++){if(t[u].name==="alpha"&&w.noLowerCase){continue}var x=w["offset"+t[u].offset];if(x&&v>=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i<s.length){y=this.getUnicode(s);var u=this.getCharList(t,y);if(u){v.push.apply(v,u)}}}else{if(t.cache[y]){v=t.cache[y]}else{t.cache[y]=v=this.lookupChar(t,y,w)}}return v},lookupChar:function(v,z,x){var y=v;while(v){for(var u=0,s=v.fonts.length;u<s;u++){var t=this.FONTDATA.FONTS[v.fonts[u]];if(typeof(t)==="string"){this.loadFont(t)}var w=t[z];if(w){this.fixChar(w,z);if(w[5].space){return[{type:"space",w:w[2],font:t}]}return[{type:"char",font:t,n:z}]}else{if(t.Extra){this.findBlock(t,z)}}}v=this.FONTDATA.VARIANT[v.chain];if(v&&v.remap&&v.remap[z]&&x++<n){return this.remapChar(v,z,x)}}return[this.unknownChar(y,z)]},fixChar:function(s,t){if(s.length===5){s[5]={}}if(s.c==null){s[0]/=1000;s[1]/=1000;s[2]/=1000;s[3]/=1000;s[4]/=1000;s.c=this.unicodeChar(t)}return s},findBlock:function(u,y){var t=u.Extra,v=u.file,x;for(var w=0,s=t.length;w<s;w++){if(typeof(t[w])==="number"){if(y===t[w]){x=v;break}}else{if(y<t[w][0]){return}if(y<=t[w][1]){x=v;break}}}if(x){delete u.Extra;this.loadFont(v)}},unknownChar:function(s,v){f.signal.Post(["CommonHTML Jax - unknown char",v,s]);var u="";if(s.bold){u+="B"}if(s.italic){u+="I"}var t=this.FONTDATA.UNKNOWN[u||"R"];if(!t[v]){this.getUnknownChar(t,v)}return{type:"unknown",n:v,font:t}},getUnknownChar:function(t,v){var u=this.unicodeChar(v);var s=this.getHDW(u,t.className);t[v]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];t[v].c=u},styledText:function(t,w){f.signal.Post(["CommonHTML Jax - styled text",w,t]);var u=t.style;var x="_"+(u["font-family"]||t.className||"");if(u["font-weight"]){x+="_"+u["font-weight"]}if(u["font-style"]){x+="_"+u["font-style"]}if(!this.STYLEDTEXT){this.STYLEDTEXT={}}if(!this.STYLEDTEXT[x]){this.STYLEDTEXT[x]={className:t.className||""}}var v=this.STYLEDTEXT[x];if(!v["_"+w]){var s=this.getHDW(w,t.className||"",u);v["_"+w]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];v["_"+w].c=w}return{type:"unknown",n:"_"+w,font:v,style:u,rscale:t.rscale}},getHDW:function(B,u,F){var t=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B]]]);var s=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B,["mjx-box"]]]]);t.firstChild.style.fontSize=s.firstChild.style.fontSize="";var v=5*a.em;var E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;a.CHTMLnode.removeChild(t);a.CHTMLnode.removeChild(s);if(C===0){v=5*a.defaultEm;var A=document.body.appendChild(document.createElement("div"));A.appendChild(t);A.appendChild(s);E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;document.body.removeChild(A)}var z=(C-1000)/v,D=x/v,y=E/v-z;return{h:y,d:z,w:D}},addCharList:function(v,x,y){var w={text:"",className:null,a:0};for(var t=0,s=x.length;t<s;t++){var u=x[t];if(this.charList[u.type]){(this.charList[u.type])(u,v,y,w,s)}}if(w.text!==""){if(v.childNodes.length){this.charList.flushText(v,w)}else{m.addText(v,w.text);if(v.className){v.className+=" "+w.className}else{v.className=w.className}}}y.b=(w.flushed?0:y.a)},charList:{"char":function(D,x,B,u,y){var w=D.font,A=(w.remapCombining||{})[D.n];if(w.className===u.className){A=null}else{if(u.className||(A&&u.text!=="")){this.flushText(x,u)}}if(!u.a){u.a=w.centerline/1000}if(u.a>(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.h<t[0]+j){B.t=B.h=t[0]+j}if(B.d<t[1]+b){B.b=B.d=t[1]+b}if(B.l>B.w+t[3]){B.l=B.w+t[3]}if(B.r<B.w+t[4]){B.r=B.w+t[4]}B.w+=t[2]*(D.rscale||1);if(y==1&&w.skew&&w.skew[D.n]){B.skew=w.skew[D.n]}if(t[5]&&t[5].rfix){this.flushText(x,u).style.marginRight=a.Em(t[5].rfix/1000)}if(A){var z=this.flushText(x,u);var s=(v[D.n]||w[D.n])[4]-(t[4]-t[2]);z.style.marginLeft=a.Em(-t[2]-s);if(s<0){z.style.marginRight=a.Em(-s)}}},space:function(t,s,v,u){if(t.w){if(u.text===""){u.className=t.font.className}this.flushText(s,u).style.marginRight=a.Em(t.w);v.w+=t.w}},unknown:function(t,s,w,u){(this["char"])(t,s,w,u,0);var v=t.font[t.n];if(v[5].a){u.a=v[5].a;if(w.a==null||u.a>w.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i<s.length){var y=this.getUnicode(s);v.push.apply(v,this.getCharList(t,y))}}if(v.length){this.addCharList(u.firstChild,v,w)}w.clean();if(w.d<0){w.D=w.d;w.d=0}if(w.h-w.a){u.firstChild.style[w.h-w.a<0?"marginTop":"paddingTop"]=this.EmRounded(w.h-w.a)}if(w.d>-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y<w;y++){if(t.HW[y][0]>=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&x<J*P.min){x=J*P.min}if(x>J){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&s<y*P.min){s=y*P.min}Q.w=Q.r=s;if(s>y){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v<s;v++){if(t[v]){t[v].style.paddingTop=a.Em(u-w[v].a);t[v].style.paddingBottom=a.Em(y+w[v].a);t[v].style.marginTop=t[v].style.marginBottom=0}}},createChar:function(u,y,w,t){var B="",x={fonts:[y[1]],noRemap:true,cache:{}};if(t&&t===d.VARIANT.BOLD&&this.FONTDATA.FONTS[y[1]+"-Bold"]){x.fonts=[y[1]+"-Bold",y[1]]}if(typeof(y[1])!=="string"){x=y[1]}if(y[0] instanceof Array){for(var z=0,v=y[0].length;z<v;z++){B+=String.fromCharCode(y[0][z])}}else{B=String.fromCharCode(y[0])}if(y[4]){w*=y[4]}var A=this.handleText(u,B,x),s=u.firstChild.style;if(w!==1){s.fontSize=this.Percent(w)}if(y[2]){s.paddingLeft=this.Em(y[2]);A.w+=y[2];A.r+=y[2]}if(y[3]){s.verticalAlign=this.Em(y[3]);A.h+=y[3];if(A.h<0){A.h=0}}if(y[5]){s.marginTop=this.Em(y[5]);A.h+=y[5];A.t+=y[5]}if(y[6]){s.marginBottom=this.Em(y[6]);A.d+=y[6];A.b+=y[6]}return A},length2em:function(w,u,x){if(typeof(w)!=="string"){w=w.toString()}if(w===""){return""}if(w===d.SIZE.NORMAL){return 1}if(w===d.SIZE.BIG){return 2}if(w===d.SIZE.SMALL){return 0.71}if(this.MATHSPACE[w]){return this.MATHSPACE[w]}var t=w.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var s=parseFloat(t[1]||"1"),v=t[2];if(u==null){u=1}if(!x){x=1}x=1/this.em/x;if(v==="em"){return s}if(v==="ex"){return s*this.TEX.x_height}if(v==="%"){return s/100*u}if(v==="px"){return s*x}if(v==="pt"){return s/10}if(v==="pc"){return s*1.2}x*=this.pxPerInch;if(v==="in"){return s*x}if(v==="cm"){return s*x/2.54}if(v==="mm"){return s*x/25.4}if(v==="mu"){return s/18}return s*u},thickness2em:function(s,t){var u=a.TEX.rule_thickness/(t||1);if(s===d.LINETHICKNESS.MEDIUM){return u}if(s===d.LINETHICKNESS.THIN){return 0.67*u}if(s===d.LINETHICKNESS.THICK){return 1.67*u}return this.length2em(s,u,t)},Em:function(s){if(Math.abs(s)<0.001){return"0"}return(s.toFixed(3).replace(/\.?0+$/,""))+"em"},EmRounded:function(s){s=(Math.round(s*a.em)+0.05)/a.em;if(Math.abs(s)<0.0006){return"0em"}return s.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(s){return parseFloat(s)},Px:function(s,t){s*=this.em;if(t&&s<t){s=t}if(Math.abs(s)<0.1){return"0"}return s.toFixed(1).replace(/\.0$/,"")+"px"},Percent:function(s){return(100*s).toFixed(1).replace(/\.?0+$/,"")+"%"},Transform:function(v,t,s){var u=v.style;u.transform=u.WebkitTransform=u.MozTransform=u["-ms-transform"]=t;if(s){u.transformOrigin=u.WebkitTransformOrigin=u.MozTransformOrigin=u["-ms-transform-origin"]=s}},arrayEntry:function(s,t){return s[Math.max(0,Math.min(t,s.length-1))]},removeStyles:["fontSize","fontFamily","fontWeight","fontStyle","fontVariant","font"]});a.BBOX=MathJax.Object.Subclass({Init:function(s){for(var t in s){if(s.hasOwnProperty(t)){this[t]=s[t]}}},clean:function(){if(this.h===-i){this.h=0}if(this.d===-i){this.d=0}if(this.l===i){this.l=0}if(this.r===-i){this.r=0}if(this.t===-i){this.t=0}if(this.b===-i){this.b=0}if(this.D&&this.d>0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}if(s+u*(t.w+(t.L||0)+(t.R||0))>this.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}this.w+=u*(t.w+(t.L||0)+(t.R||0));if(u*t.h>this.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]<u){this[v]=u}}}},{zero:function(){return a.BBOX({h:0,d:0,w:0,l:0,r:0,t:0,b:0,scale:1,rscale:1})},empty:function(s){if(!s){s=a.BBOX.zero()}s.h=s.d=s.r=s.t=s.b=-i;s.w=0;s.l=i;delete s.pwidth;return s},styleAdjust:[["borderTopWidth","h","t"],["borderRightWidth","w","r"],["borderBottomWidth","d","b"],["borderLeftWidth","w","l",0],["paddingTop","h","t"],["paddingRight","w","r"],["paddingBottom","d","b"],["paddingLeft","w","l",0],]});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){d=MathJax.ElementJax.mml;d.mbase.Augment({toCommonHTML:function(t,s){return this.CHTMLdefaultNode(t,s)},CHTMLmultiline:function(){d.mbase.CHTMLautoloadFile("multiline")},CHTMLdefaultNode:function(v,t){if(!t){t={}}v=this.CHTMLcreateNode(v);this.CHTML=a.BBOX.empty();this.CHTMLhandleStyle(v);if(this.isToken){this.CHTMLgetVariant()}this.CHTMLhandleScale(v);var s=Math.max((t.minChildren||0),this.data.length);for(var u=0;u<s;u++){this.CHTMLaddChild(v,u,t)}if(!t.noBBox){this.CHTML.clean()}this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v},CHTMLaddChild:function(x,t,s){var z=this.data[t],w;var u=s.childNodes;if(u instanceof Array){u=u[t]||"span"}if(z){if(u){x=a.addElement(x,u)}w=z.toCommonHTML(x,s.childOptions);if(u&&z.CHTML.rscale!==1){x.style.fontSize=x.firstChild.style.fontSize;x.firstChild.style.fontSize=""}if(!s.noBBox){var y=this.CHTML,v=z.CHTML;y.append(v);if(this.data.length===1){if(v.ic){y.ic=v.ic}if(v.skew){y.skew=v.skew}}else{delete y.ic;delete y.skew}if(v.pwidth){y.pwidth=v.pwidth}}}else{if(s.forceChild){w=a.addElement(x,(u||"mjx-box"))}}return w},CHTMLchildNode:function(t,s){t=t.childNodes[s];if(t.nodeName.toLowerCase()==="a"){t=t.firstChild}return t},CHTMLcoreNode:function(s){if(this.inferRow&&this.data[0]){return this.data[0].CHTMLcoreNode(s.firstChild)}return this.CHTMLchildNode(s,this.CoreIndex())},CHTMLstretchChildV:function(v,u,y){var x=this.data[v];if(x){var z=this.CHTML,t=x.CHTML;if(t.stretch||(t.stretch==null&&x.CHTMLcanStretch("Vertical",u,y))){var s=t.w;t=x.CHTMLstretchV(u,y);z.w+=t.w-s;if(z.w>z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t<s;t++){var x=z[t];if(y[x]==false||(!u[x]&&!y[x]&&w[x]==null&&typeof(v[x])==="undefined")){v.setAttribute(x,this.attr[x])}}}return v},CHTMLhandleScale:function(v){var x=1,u=this.parent,w=(u?u.CHTML.scale:1);var s=this.getValues("scriptlevel","fontsize");s.mathsize=this.Get("mathsize",null,!this.isToken);if(s.scriptlevel!==0){if(s.scriptlevel>2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x<s.scriptminsize){x=s.scriptminsize}}if(this.removedStyles&&this.removedStyles.fontSize&&!s.fontsize){s.fontsize=this.removedStyles.fontSize}if(s.fontsize&&!this.mathsize){s.mathsize=s.fontsize}if(s.mathsize!==1){x*=a.length2em(s.mathsize,1,1)}var t=this.CHTMLvariant;if(t&&t.style&&t.style["font-family"]){x*=(a.config.scale/100)/a.scale}this.CHTML.scale=x;w=this.CHTML.rscale=x/w;if(Math.abs(w-1)<0.001){w=1}if(v&&w!==1){v.style.fontSize=a.Percent(w)}return x},CHTMLhandleStyle:function(v){if(!this.style){return}var u=v.style;u.cssText=this.style;this.removedStyles={};for(var t=0,s=a.removeStyles.length;t<s;t++){var w=a.removeStyles[t];if(u[w]){this.removedStyles[w]=u[w];u[w]=""}}},CHTMLhandleBBox:function(w){var t=this.CHTML,v=w.style;if(this.data.length===1&&(this.data[0].CHTML||{}).pwidth){t.pwidth=this.data[0].CHTML.pwidth;t.mwidth=this.data[0].CHTML.mwidth;v.width="100%"}else{if(t.pwidth){t.mwidth=a.Em(t.w);v.width="100%"}else{if(t.w<0){v.width="0px";v.marginRight=a.Em(t.w)}}}if(!this.style){return}for(var u=0,s=a.BBOX.styleAdjust.length;u<s;u++){var x=a.BBOX.styleAdjust[u];if(x&&v[x[0]]){t.adjust(v[x[0]],x[1],x[2],x[3])}}},CHTMLhandleColor:function(s){if(this.mathcolor){s.style.color=this.mathcolor}else{if(this.color){s.style.color=this.color}}if(this.mathbackground){s.style.backgroundColor=this.mathbackground}else{if(this.background){s.style.backgroundColor=this.background}}},CHTMLhandleSpace:function(s){if(!this.useMMLspacing){var t=this.texSpacing();if(t!==""){this.CHTML.L=this.CHTMLlength2em(t);s.className+=" "+a.SPACECLASS[t]}}},CHTMLhandleText:function(t,u,s){if(t.firstChild&&!this.CHTML){this.CHTML=a.BBOX.empty()}this.CHTML=a.handleText(t,u,s,this.CHTML)},CHTMLgetVariant:function(){var s=this.getValues("mathvariant","fontfamily","fontweight","fontstyle"),u;s.hasVariant=this.Get("mathvariant",true);if(this.removedStyles){u=this.removedStyles;if(u.fontFamily){s.family=u.fontFamily}if(u.fontWeight){s.weight=u.fontWeight}if(u.fontStyle){s.style=u.fontStyle}}if(!s.hasVariant){if(s.fontfamily){s.family=s.fontfamily}if(s.fontweight){s.weight=s.fontweight}if(s.fontstyle){s.style=s.fontstyle}}if(s.weight&&s.weight.match(/^\d+$/)){s.weight=(parseInt(s.weight)>600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){t*=a.em/a.outerEm;f.Insert(w,({left:{marginLeft:a.Em(t)},right:{marginRight:a.Em(-t)},center:{marginLeft:a.Em(t),marginRight:a.Em(-t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,u,{childOptions:{variant:t.mathvariant,remap:this.remap,remapchars:t.remapchars}})}if(!a.isChar(t.text)){delete this.CHTML.skew}else{if(this.CHTML.w===0&&this.CHTML.l<0){this.CHTMLfixCombiningChar(v)}}if(t.largeop){this.CHTMLcenterOp(v)}}this.CHTML.clean();this.CHTMLhandleBBox(v);this.CHTMLhandleSpace(v);this.CHTMLhandleColor(v);return v},CHTMLhandleSpace:function(v){if(this.hasMMLspacing()){var t=this.getValues("scriptlevel","lspace","rspace");t.lspace=Math.max(0,this.CHTMLlength2em(t.lspace));t.rspace=Math.max(0,this.CHTMLlength2em(t.rspace));if(t.scriptlevel>0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.h<a.TEX.x_height){C.h+=a.TEX.x_height-F.h;u.style.marginTop=a.Em(a.TEX.x_height-Math.max(F.h,0.35));F.h=a.TEX.x_height}var A=u,D=0;if(F.ic){D=1.3*F.ic+0.05}if(this.data[this.over]){A=this.CHTMLaddOverscript(z,x,E,D,u,t)}if(this.data[this.under]){this.CHTMLaddUnderscript(B,x,E,D,w,A,t)}else{if(!t){w.appendChild(A)}}this.CHTMLplaceBoxes(u,B,z,E,x);return w},CHTMLgetBBoxes:function(A,x,v){var y,t=this.data.length,z,u=-i,s=u;for(y=0;y<t;y++){A[y]=this.CHTMLbboxFor(y);A[y].x=A[y].y=0;if(this.data[y]){A[y].stretch=this.data[y].CHTMLcanStretch("Horizontal")}z=(y===this.base?1:A[y].rscale);if(y!==this.base){delete A[y].L;delete A[y].R}s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)));if(!A[y].stretch&&s>u){u=s}}if(u===-i){u=s}for(y=0;y<t;y++){if(A[y].stretch){z=(y===this.base?1:A[y].rscale);A[y]=this.data[y].CHTMLstretchH(x[y].firstChild,u/z);A[y].x=A[y].y=0;s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)))}}if(!A[this.base]){A[this.base]=a.BBOX.empty()}return s},CHTMLaddOverscript:function(B,z,F,E,t,s){var D=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var A=z[this.over],G=z[this.base],u=A.rscale;if(!s){var C=a.Element("mjx-stack");C.appendChild(B);C.appendChild(t)}if(A.D){A.d=A.D}if(A.d<0){B.firstChild.style.verticalAlign="top";B.style.height=a.Em(A.h+A.d)}A.x=0;if(F.accent){if(A.w<0.001){A.x+=(A.r-A.l)/2}v=a.TEX.rule_thickness;w=0;if(G.skew){A.x+=u*G.skew;D.skew=u*G.skew;if(A.x+u*A.w>D.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y<v;y++){x=(y===this.base?1:z[y].rscale);var C=x*(z[y].w+(z[y].L||0)+(z[y].R||0));z[y].x+={left:0,center:(t-C)/2,right:t-C}[E.align];if(z[y].x<F){F=z[y].x}}for(y=0;y<v;y++){if(this.data[y]){x=(y===this.base?1:z[y].rscale);if(z[y].x-F){var u=(y===this.base?s:y===this.over?A:B);u.style.paddingLeft=a.Em((z[y].x-F)/x)}D.combine(z[y],z[y].x-F,z[y].y)}}this.CHTML=D},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-op","mjx-under","mjx-over"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.msubsup.Augment({toCommonHTML:function(S,C){var A=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");var D,H,z;if(C&&C.stretch){if(this.data[this.base]){D=a.getNode(S,"mjx-base")}if(this.data[this.sub]){H=a.getNode(S,"mjx-sub")}if(this.data[this.sup]){z=a.getNode(S,"mjx-sup")}E=a.getNode(S,"mjx-stack")}else{var K=["mjx-base","mjx-sub","mjx-sup"];if(this.sup===1){K[1]=K[2]}S=this.CHTMLdefaultNode(S,{childNodes:K,noBBox:true,forceChild:true,minChildren:3});D=S.childNodes[this.base];H=S.childNodes[this.sub];z=S.childNodes[this.sup];if(!this.CHTMLnotEmpty(this.data[this.sub])){S.removeChild(H);H=null}if(!this.CHTMLnotEmpty(this.data[this.sup])){S.removeChild(z);z=null}if(S.childNodes.length===3){var E=a.addElement(S,"mjx-stack");E.appendChild(z);E.appendChild(H)}}var F=[],G=a.BBOX.empty(this.CHTML);for(var V=0,T=this.data.length;V<T;V++){F[V]=this.CHTMLbboxFor(V)}var y=F[this.base]||a.BBOX.empty(),P=F[this.sub],W=F[this.sup];var B=(H?P.rscale:1),w=(z?W.rscale:1);G.combine(y,0,0);var X=a.TEX.x_height,N=a.TEX.scriptspace;var Q=a.TEX.sup_drop*w,O=a.TEX.sub_drop*B;var L=y.h-Q,J=y.d+O,Y=0,R;if(y.ic){G.w-=y.ic;D.style.marginRight=a.Em(-y.ic);Y=1.3*y.ic+0.05}var U=this.data[this.base];if(U){if((U.type==="mrow"||U.type==="mstyle")&&U.data.length===1){U=U.data[0]}if(U.type==="mi"||U.type==="mo"){if(a.isChar(U.data.join(""))&&y.rscale===1&&!y.sH&&!U.Get("largeop")){L=J=0}}}A.subscriptshift=(A.subscriptshift===""?0:this.CHTMLlength2em(A.subscriptshift));A.superscriptshift=(A.superscriptshift===""?0:this.CHTMLlength2em(A.superscriptshift));var I=G.w;if(H){P.w+=N}if(z){W.w+=N}if(!z){if(H){J=Math.max(J,a.TEX.sub1,B*P.h-(4/5)*X,A.subscriptshift);H.style.verticalAlign=a.Em(-J/B);H.style.paddingRight=a.Em(N/B);G.combine(P,I,-J)}}else{if(!H){R=a.TEX[(A.displaystyle?"sup1":(A.texprimestyle?"sup3":"sup2"))];L=Math.max(L,R,w*W.d+(1/4)*X,A.superscriptshift);z.style.verticalAlign=a.Em(L/w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);G.combine(W,I+Y,L)}else{J=Math.max(J,a.TEX.sub2);var M=a.TEX.rule_thickness;if((L-w*W.d)-(B*P.h-J)<3*M){J=3*M-L+w*W.d+B*P.h;Q=(4/5)*X-(L-w*W.d);if(Q>0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(K<L){I+=(L-K)/2;G+=(L-K)/2}}else{L=Math.max((O?2:0)*M+J,J/2+1.5*M);J=Math.max(J,M);K=(I-P.d*F)-(T+J/2);if(K<L){I+=(L-K)}K=(T-J/2)-(B.h*z-G);if(K<L){G+=(L-K)}P.L=P.R=B.L=B.R=0.1;var A=a.addElement(y,"mjx-line",{style:{"border-bottom":a.Px(J*C.scale,1)+" solid",top:a.Em(-J/2-T)}})}C.combine(P,0,I);C.combine(B,0,-G);C.clean();y.style.width=a.Em(C.w);D.style.width=a.Em(C.w/F);w.style.width=a.Em(C.w/z);if(A){A.style.width=y.style.width}D.style.top=a.Em(-C.h/F);w.style.bottom=a.Em(-C.d/z);a.addElement(N,"mjx-vsize",{style:{height:a.Em(C.h+C.d),verticalAlign:a.Em(-C.d)}})}if(!this.texWithDelims){var Q=a.TEX.nulldelimiterspace;y.style.padding="0 "+a.Em(Q);C.l+=Q;C.r+=Q;C.w+=2*Q}return N},CHTMLcanStretch:function(s){return false}});d.msqrt.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w,{childNodes:["mjx-box","mjx-root"],forceChild:true,noBBox:true});var v=w.firstChild||a.Element("mjx-box");var E=a.addElement(w,"mjx-box");E.appendChild(v);var F=this.CHTMLbboxFor(0),C=a.BBOX.empty(this.CHTML);var G=a.TEX.rule_thickness,y=a.TEX.surd_height,u=G,s,D;if(this.Get("displaystyle")){u=a.TEX.x_height}s=G+u/4;D=F.h+F.d+s+G;var z=a.Element("mjx-surd");E.insertBefore(z,v);var A=a.createDelimiter(z,8730,[D-0.04,D]);if(A.h+A.d>D){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,s)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9)+s.offset+Math.max(0,u.d-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,"sep"+u,{});this.CHTMLaddChild(v,u,{})}this.CHTMLaddChild(v,"close",{});var t=this.CHTML.h,w=this.CHTML.d;this.CHTMLstretchChildV("open",t,w);for(u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV("sep"+u,t,w);this.CHTMLstretchChildV(u,t,w)}this.CHTMLstretchChildV("close",t,w);this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mrow.Augment({toCommonHTML:function(w,t){t=t||{};w=this.CHTMLdefaultNode(w);var z=this.CHTML,v=z.h,x=z.d,y;for(var u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV(u,v,x);if(this.data[u]&&this.data[u].CHTML&&this.data[u].CHTML.w<0){y=true}}if(this.CHTMLlineBreaks()){this.CHTMLmultiline(w);if(t.autowidth){w.style.width=""}}else{if(y&&z.w){w.style.width=a.Em(Math.max(0,z.w))}if(z.w<0){w.style.marginRight=a.Em(z.w)}}return w},CHTMLlineBreaks:function(){if(!this.parent.linebreakContainer){return false}return(c.automatic&&this.CHTML.w>a.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML);
-MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;q<n;q++){var B=this.data[q],A=(B.type==="mtr"?0:c);y[q]=r;h[q]=t;for(var p=A,v=B.data.length+A;p<v;p++){if(l[p]==null){l[p]=-f;if(p>w){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;q<n;q++){y[q]=x;h[q]=o}}k.H=y;k.D=h;k.W=l,k.J=w},CHTMLgetAttributes:function(v,j){var l=d(v.columnspacing),x=d(v.rowspacing),t=d(v.columnalign),r=d(v.rowalign),k=d(v.columnlines),w=d(v.rowlines),o=d(v.columnwidth),n=[],q,p,u=j.J,s=j.rows.length-1;for(q=0,p=l.length;q<p;q++){l[q]=this.CHTMLlength2em(l[q])}for(q=0,p=x.length;q<p;q++){x[q]=this.CHTMLlength2em(x[q])}while(l.length<u){l.push(l[l.length-1])}while(t.length<=u){t.push(t[t.length-1])}while(k.length<u){k.push(k[k.length-1])}while(o.length<=u){o.push(o[o.length-1])}while(x.length<s){x.push(x[x.length-1])}while(r.length<=s){r.push(r[r.length-1])}while(w.length<s){w.push(w[w.length-1])}t[c]=(v.side.substr(0,1)==="l"?"left":"right");for(q=0;q<=s;q++){var y=this.data[q];n[q]=[];if(y.rowalign){r[q]=y.rowalign}if(y.columnalign){n[q]=d(y.columnalign);while(n[q].length<=u){n[q].push(n[q][n[q].length-1])}}}var h=d(v.framespacing);if(h.length!=2){h=d(this.defaults.framespacing)}h[0]=Math.max(0,this.CHTMLlength2em(h[0]));h[1]=Math.max(0,this.CHTMLlength2em(h[1]));if(v.columnlines.replace(/none/g,"").replace(/ /g,"")!==""||v.rowlines.replace(/none/g,"").replace(/ /g,"")!==""){v.fspace=true}if(v.frame===b.LINES.NONE){delete v.frame}else{v.fspace=true}if(v.frame){h[0]=Math.max(0,h[0]);h[1]=Math.max(0,h[1])}if(v.fspace){l[u]=h[0];x[s]=h[1]}else{l[u]=x[s]=0}k[u]=w[s]=b.LINES.NONE;j.CSPACE=l;j.RSPACE=x;j.CALIGN=t;j.RALIGN=r;j.CLINES=k;j.RLINES=w;j.CWIDTH=o;j.RCALIGN=n;j.FSPACE=h},CHTMLadjustCells:function(l,r){var S=r.rows,W=r.CSPACE,o=r.CLINES,x=r.RSPACE,F=r.RLINES,V=r.CALIGN,q=r.RALIGN,G=r.RCALIGN;W[r.J]*=2;x[S.length-1]*=2;var p="0",I,t,z,N,n,P,U=0;if(l.fspace){U=r.FSPACE[1];p=e.Em(r.FSPACE[1])}r.RHD=[];r.RH=[];for(var Q=0,K=S.length;Q<K;Q++){var w=S[Q],v=this.data[Q];I=x[Q]/2;N=null;z="0";if(F[Q]!==b.LINES.NONE&&F[Q]!==""){N=r.t+" "+F[Q]}if(N||(o[O]!==b.LINES.NONE&&o[O]!=="")){while(w.length<=r.J){w.push(e.addElement(w.node,"mjx-mtd",null,[["span"]]))}}r.RH[Q]=U+r.H[Q];U=Math.max(0,I);r.RHD[Q]=r.RH[Q]+U+r.D[Q];I=e.Em(U);if(l.fspace){z=e.Em(r.FSPACE[0])}for(var O=0,y=w.length;O<y;O++){var E=(v.type==="mtr"?0:c);var J=v.data[O-E]||{CHTML:e.BBOX.zero()};var k=w[O].style;n=J.CHTML;t=W[O]/2;if(o[O]!==b.LINES.NONE){k.borderRight=r.t+" "+o[O];t-=1/e.em/2}t=e.Em(Math.max(0,t));k.padding=p+" "+t+" 0px "+z;if(N){k.borderBottom=N}z=t;P=(J.rowalign||(this.data[Q]||{}).rowalign||q[Q]);var A=Math.max(1,n.h),C=Math.max(0.2,n.d),h=(r.H[Q]+r.D[Q])-(A+C),u=w[O].firstChild.style;if(P===b.ALIGN.TOP){if(h){u.marginBottom=e.Em(h)}k.verticalAlign="top"}else{if(P===b.ALIGN.BOTTOM){k.verticalAlign="bottom";if(h){u.marginTop=e.Em(h)}}else{if(P===b.ALIGN.CENTER){if(h){u.marginTop=u.marginBottom=e.Em(h/2)}k.verticalAlign="middle"}else{if(A!==r.H[Q]){u.marginTop=e.Em(r.H[Q]-A)}}}}P=(J.columnalign||G[Q][O]||V[O]);if(P!==b.ALIGN.CENTER){k.textAlign=P}}w.node.style.height=e.Em(r.RHD[Q]);p=I}W[r.J]/=2;x[S.length-1]/=2},CHTMLalignV:function(w,k,o){var m,t=k.rows.length,v=k.H,j=k.D,x=k.RSPACE;if(typeof(w.align)!=="string"){w.align=String(w.align)}if(w.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){m=parseInt(RegExp.$3||"0");w.align=RegExp.$1;if(m<0){m+=k.rows.length+1}if(m>t||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q<t;q++){var r=v[q],s=j[q];p+=r+s+x[q];if(m){if(q===m-1){l+=({top:r+s,bottom:0,center:(r+s)/2,baseline:s,axis:u+s})[w.align]+x[q]}if(q>=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;H<B;H++){F=h[H];v=Math.max(o[F],this.CHTMLlength2em(I[F],G));k+=v-o[F];o[F]=v;t[F].style.width=e.Em(v)}E+=k}if(!C){D=s}if(G>E&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;H<B;H++){F=D[H];o[F]+=x;t[F].style.width=e.Em(o[F])}E=G}}}o[c]=r.W[c];r.W=o;r.R=E;if(y){A.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=e.Em(E);A.firstChild.style.width=l.width;A.firstChild.style.margin="auto"}},CHTMLstretchCells:function(x,l){var y=l.rows,w=l.H,k=l.D,m=l.W,t=l.J,s=y.length-1;for(var o=0;o<=s;o++){var z=y[o],q=this.data[o];var p=w[o],r=k[o];for(var n=0;n<=t;n++){var v=z[n],u=q.data[n];if(!u){continue}if(u.CHTML.stretch==="V"){u.CHTMLstretchV(p,r)}else{if(u.CHTML.stretch==="H"){u.CHTMLstretchH(v,m[n])}}}}},CHTMLaddLabels:function(h,k,w,B){var q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(q.indentalignfirst!==b.INDENTALIGN.INDENTALIGN){q.indentalign=q.indentalignfirst}if(q.indentalign===b.INDENTALIGN.AUTO){q.indentalign=a.displayAlign}if(q.indentshiftfirst!==b.INDENTSHIFT.INDENTSHIFT){q.indentshift=q.indentshiftfirst}if(q.indentshift==="auto"){q.indentshift="0"}var z=this.CHTMLlength2em(q.indentshift,e.cwidth);var A=this.CHTMLlength2em(h.minlabelspacing,0.8);var p=A+k.W[c],y=0,D=k.R;var n=this.CHTMLlength2em(a.displayIndent,e.cwidth);var t=(k.CALIGN[c]===b.INDENTALIGN.RIGHT?-1:1);if(q.indentalign===b.INDENTALIGN.CENTER){D+=2*(p-t*(z+n));z+=n}else{if(k.CALIGN[c]===q.indentalign){if(n<0){y=t*n;n=0}z+=t*n;if(p>t*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x<v;x++){if(l[x]&&this.data[x].data[0]){C.appendChild(l[x]);var r=this.data[x].data[0].CHTML;j=k.RH[x]-Math.max(1,r.h);if(j){l[x].firstChild.firstChild.style.marginTop=e.Em(j)}l[x].style.height=e.Em(k.RHD[x])}else{e.addElement(C,"mjx-label",{style:{height:e.Em(k.RHD[x])}})}}w.style.width=this.CHTML.pwidth="100%";w.style.minWidth=this.CHTML.mwidth=e.Em(Math.max(0,D))}});b.mtr.Augment({toCommonHTML:function(l,j){l=this.CHTMLcreateNode(l);this.CHTMLhandleStyle(l);this.CHTMLhandleScale(l);if(!j){j={rows:[],labels:[]}}var n=[];j.rows.push(n);n.node=l;j.labels.push(null);for(var k=0,h=this.data.length;k<h;k++){n.push(this.CHTMLaddChild(l,k,j))}this.CHTMLhandleColor(l);return l}});b.mlabeledtr.Augment({toCommonHTML:function(n,k){n=this.CHTMLcreateNode(n);this.CHTMLhandleStyle(n);this.CHTMLhandleScale(n);if(!k){k={rows:[],labels:[]}}var o=[];k.rows.push(o);o.node=n;var j=e.Element("mjx-label");k.labels.push(j);this.CHTMLaddChild(j,0,k);if(this.data[0]){k.labeled=true}for(var l=1,h=this.data.length;l<h;l++){o.push(this.CHTMLaddChild(n,l,k))}this.CHTMLhandleColor(n);return n}});b.mtd.Augment({toCommonHTML:function(l,i){l=this.CHTMLdefaultNode(l,i);e.addElement(l.firstChild,"mjx-strut");if(this.isEmbellished()){var m=this.CoreMO(),h=this.CHTML;if(m.CHTMLcanStretch("Vertical")){h.stretch="V"}else{if(m.CHTMLcanStretch("Horizontal")){h.stretch="H"}}if(h.stretch){var j=m.Get("minsize",true);if(j){if(h.stretch==="V"){var n=h.h+h.d;if(n){var k=this.CHTMLlength2em(j,n)/n;if(k>1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")});
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+(function(o,f,m,a){var d;var g=MathJax.Object.isArray;var e,q,h;var k=1,l=0.1,j=0.025,b=0.025;var p={".mjx-chtml":{display:"inline-block","line-height":0,"text-indent":0,"text-align":"left","text-transform":"none","font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","letter-spacing":"normal","word-wrap":"normal","word-spacing":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,margin:0,padding:"1px 0"},".MJXc-display":{display:"block","text-align":"center",margin:"1em 0",padding:0},".mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex]":{display:"inline-table"},".mjx-full-width":{"text-align":"center",display:"table-cell!important",width:"10000em"},".mjx-math":{display:"inline-block","border-collapse":"separate","border-spacing":0},".mjx-math *":{display:"inline-block","-webkit-box-sizing":"content-box!important","-moz-box-sizing":"content-box!important","box-sizing":"content-box!important","text-align":"left"},".mjx-numerator":{display:"block","text-align":"center"},".mjx-denominator":{display:"block","text-align":"center"},".MJXc-stacked":{height:0,position:"relative"},".MJXc-stacked > *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-surd + .mjx-box":{display:"inline-flex"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor",overflow:"visible"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v<s;v++){var y=x.childNodes[v];if(y){if(u.test(y.className)){return y}if(y.id===""){t.push(y)}}}x=t.shift()}return null},preTranslate:function(w){var v=w.jax[this.id],E,B=v.length,H,z,C,F,t,G,s,I;var y=100000,x=false,D=0,u=c.automatic,A=c.width;if(u){x=!!A.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/);if(x){A=A.replace(/\s*container\s*/,"")}else{y=this.defaultWidth}if(A===""){A="100%"}}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}z=H.previousSibling;if(z&&z.className&&String(z.className).substr(0,9)==="mjx-chtml"){z.parentNode.removeChild(z)}if(H.MathJax.preview){H.MathJax.preview.style.display="none"}t=H.MathJax.elementJax;if(!t){continue}t.CHTML={display:(t.root.Get("display")==="block"),preview:(t.CHTML||{}).preview};C=a.Element("mjx-chtml",{id:t.inputID+"-Frame",className:"MathJax_CHTML",isMathJax:true,jaxID:this.id,oncontextmenu:e.Menu,onmousedown:e.Mousedown,onmouseover:e.Mouseover,onmouseout:e.Mouseout,onmousemove:e.Mousemove,onclick:e.Click,ondblclick:e.DblClick,onkeydown:e.Keydown,tabIndex:f.getTabOrder(t)});if(t.CHTML.display){var J=a.Element("mjx-chtml",{className:"MJXc-display",isMathJax:false});J.appendChild(C);C=J}if(f.Browser.noContextMenu){C.ontouchstart=q.start;C.ontouchend=q.end}C.className+=" MJXc-processing";H.parentNode.insertBefore(C,H);F=this.TestSpan.cloneNode(true);F.className+=" mjx-test-"+(t.CHTML.display?"display":"inline");H.parentNode.insertBefore(F,H)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}F=H.previousSibling;t=H.MathJax.elementJax;if(!t){continue}s=a.getFontSize(F);G=F.childNodes[1].offsetHeight/60;D=Math.max(0,t.CHTML.display?F.lastChild.offsetWidth-1:F.lastChild.offsetLeft-F.firstChild.offsetLeft-2);if(G===0||G==="NaN"){G=this.defaultEx;D=this.defaultWidth}if(D===0&&!t.CHTML.display){D=this.defaultWidth}if(x){y=D}I=(this.config.matchFontHeight?G/this.TEX.x_height/s:1);I=Math.floor(Math.max(this.config.minScaleAdjust/100,I)*this.config.scale);t.CHTML.scale=I/100;t.CHTML.fontSize=I+"%";t.CHTML.outerEm=s;t.CHTML.em=this.em=s*I/100;t.CHTML.ex=G;t.CHTML.cwidth=D/this.em;t.CHTML.lineWidth=(u?this.length2em(A,y/this.em,1):y)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}t=H.MathJax.elementJax;if(!t){continue}H.parentNode.removeChild(H.previousSibling);if(H.MathJax.preview){H.MathJax.preview.style.display=""}}w.CHTMLeqn=w.CHTMLlast=0;w.CHTMLi=-1;w.CHTMLchunk=this.config.EqnChunk;w.CHTMLdelay=false},Translate:function(t,x){if(!t.parentNode){return}if(x.CHTMLdelay){x.CHTMLdelay=false;f.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var s=t.MathJax.elementJax,w=s.root,v=document.getElementById(s.inputID+"-Frame");if(!v){return}this.getMetrics(s);if(this.scale!==1){v.style.fontSize=s.CHTML.fontSize}this.initCHTML(w,v);this.savePreview(t);this.CHTMLnode=v;try{w.setTeXclass();w.toCommonHTML(v)}catch(u){while(v.firstChild){v.removeChild(v.firstChild)}delete this.CHTMLnode;this.restorePreview(t);throw u}delete this.CHTMLnode;this.restorePreview(t);if(s.CHTML.display){v=v.parentNode}v.className=v.className.replace(/ [^ ]+$/,"");v.className+=" MJXc-processed";if(t.MathJax.preview){s.CHTML.preview=t.MathJax.preview;delete t.MathJax.preview}x.CHTMLeqn+=(x.i-x.CHTMLi);x.CHTMLi=x.i;if(x.CHTMLeqn>=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;v<s;v++){var u=t[v];if(u&&u.MathJax.elementJax){u.previousSibling.className=u.previousSibling.className.replace(/ [^ ]+$/,"");var w=u.MathJax.elementJax.CHTML;if(w.preview){w.preview.innerHTML="";u.MathJax.preview=w.preview;delete w.preview}}}x.CHTMLlast=x.CHTMLeqn},getJaxFromMath:function(s){if(s.parentNode.className.match(/MJXc-display/)){s=s.parentNode}do{s=s.nextSibling}while(s&&s.nodeName.toLowerCase()!=="script");return f.getJaxFor(s)},getHoverSpan:function(s,t){return s.root.CHTMLnodeElement()},getHoverBBox:function(s,v,w){var x=s.root.CHTML,u=s.CHTML.outerEm;var t={w:x.w*u,h:x.h*u,d:x.d*u};if(x.width){t.width=x.width}return t},Zoom:function(u,B,A,s,y){this.getMetrics(u);var v=a.addElement(B,"mjx-chtml",{style:{"font-size":Math.floor(a.scale*100)+"%"},isMathJax:false});a.CHTMLnode=v;this.idPostfix="-zoom";u.root.toCommonHTML(v);this.idPostfix="";var t=v.style,C=u.root.CHTML;if(C.t>C.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u<z;u++){if(t[u].name==="alpha"&&w.noLowerCase){continue}var x=w["offset"+t[u].offset];if(x&&v>=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i<s.length){y=this.getUnicode(s);var u=this.getCharList(t,y);if(u){v.push.apply(v,u)}}}else{if(t.cache[y]){v=t.cache[y]}else{t.cache[y]=v=this.lookupChar(t,y,w)}}return v},lookupChar:function(v,z,x){var y=v;while(v){for(var u=0,s=v.fonts.length;u<s;u++){var t=this.FONTDATA.FONTS[v.fonts[u]];if(typeof(t)==="string"){this.loadFont(t)}var w=t[z];if(w){this.fixChar(w,z);if(w[5].space){return[{type:"space",w:w[2],font:t}]}return[{type:"char",font:t,n:z}]}else{if(t.Extra){this.findBlock(t,z)}}}v=this.FONTDATA.VARIANT[v.chain];if(v&&v.remap&&v.remap[z]&&x++<n){return this.remapChar(v,z,x)}}return[this.unknownChar(y,z)]},fixChar:function(s,t){if(s.length===5){s[5]={}}if(s.c==null){s[0]/=1000;s[1]/=1000;s[2]/=1000;s[3]/=1000;s[4]/=1000;s.c=this.unicodeChar(t)}return s},findBlock:function(u,y){var t=u.Extra,v=u.file,x;for(var w=0,s=t.length;w<s;w++){if(typeof(t[w])==="number"){if(y===t[w]){x=v;break}}else{if(y<t[w][0]){return}if(y<=t[w][1]){x=v;break}}}if(x){delete u.Extra;this.loadFont(v)}},unknownChar:function(s,v){f.signal.Post(["CommonHTML Jax - unknown char",v,s]);var u="";if(s.bold){u+="B"}if(s.italic){u+="I"}var t=this.FONTDATA.UNKNOWN[u||"R"];if(!t[v]){this.getUnknownChar(t,v)}return{type:"unknown",n:v,font:t}},getUnknownChar:function(t,v){var u=this.unicodeChar(v);var s=this.getHDW(u,t.className);t[v]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];t[v].c=u},styledText:function(t,w){f.signal.Post(["CommonHTML Jax - styled text",w,t]);var u=t.style;var x="_"+(u["font-family"]||t.className||"");if(u["font-weight"]){x+="_"+u["font-weight"]}if(u["font-style"]){x+="_"+u["font-style"]}if(!this.STYLEDTEXT){this.STYLEDTEXT={}}if(!this.STYLEDTEXT[x]){this.STYLEDTEXT[x]={className:t.className||""}}var v=this.STYLEDTEXT[x];if(!v["_"+w]){var s=this.getHDW(w,t.className||"",u);v["_"+w]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];v["_"+w].c=w}return{type:"unknown",n:"_"+w,font:v,style:u,rscale:t.rscale}},getHDW:function(B,u,F){var t=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B]]]);var s=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B,["mjx-box"]]]]);t.firstChild.style.fontSize=s.firstChild.style.fontSize="";var v=5*a.em;var E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;a.CHTMLnode.removeChild(t);a.CHTMLnode.removeChild(s);if(C===0){v=5*a.defaultEm;var A=document.body.appendChild(document.createElement("div"));A.appendChild(t);A.appendChild(s);E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;document.body.removeChild(A)}var z=(C-1000)/v,D=x/v,y=E/v-z;return{h:y,d:z,w:D}},addCharList:function(v,x,y){var w={text:"",className:null,a:0};for(var t=0,s=x.length;t<s;t++){var u=x[t];if(this.charList[u.type]){(this.charList[u.type])(u,v,y,w,s)}}if(w.text!==""){if(v.childNodes.length){this.charList.flushText(v,w)}else{m.addText(v,w.text);if(v.className){v.className+=" "+w.className}else{v.className=w.className}}}y.b=(w.flushed?0:y.a)},charList:{"char":function(D,x,B,u,y){var w=D.font,A=(w.remapCombining||{})[D.n];if(w.className===u.className){A=null}else{if(u.className||(A&&u.text!=="")){this.flushText(x,u)}}if(!u.a){u.a=w.centerline/1000}if(u.a>(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.h<t[0]+j){B.t=B.h=t[0]+j}if(B.d<t[1]+b){B.b=B.d=t[1]+b}if(B.l>B.w+t[3]){B.l=B.w+t[3]}if(B.r<B.w+t[4]){B.r=B.w+t[4]}B.w+=t[2]*(D.rscale||1);if(y==1&&w.skew&&w.skew[D.n]){B.skew=w.skew[D.n]}if(t[5]&&t[5].rfix){this.flushText(x,u).style.marginRight=a.Em(t[5].rfix/1000)}if(A){var z=this.flushText(x,u);var s=(v[D.n]||w[D.n])[4]-(t[4]-t[2]);z.style.marginLeft=a.Em(-t[2]-s);if(s<0){z.style.marginRight=a.Em(-s)}}},space:function(t,s,v,u){if(t.w){if(u.text===""){u.className=t.font.className}this.flushText(s,u).style.marginRight=a.Em(t.w);v.w+=t.w}},unknown:function(t,s,w,u){(this["char"])(t,s,w,u,0);var v=t.font[t.n];if(v[5].a){u.a=v[5].a;if(w.a==null||u.a>w.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i<s.length){var y=this.getUnicode(s);v.push.apply(v,this.getCharList(t,y))}}if(v.length){this.addCharList(u.firstChild,v,w)}w.clean();if(w.d<0){w.D=w.d;w.d=0}if(w.h-w.a){u.firstChild.style[w.h-w.a<0?"marginTop":"paddingTop"]=this.EmRounded(w.h-w.a)}if(w.d>-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y<w;y++){if(t.HW[y][0]>=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&x<J*P.min){x=J*P.min}if(x>J){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&s<y*P.min){s=y*P.min}Q.w=Q.r=s;if(s>y){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v<s;v++){if(t[v]){t[v].style.paddingTop=a.Em(u-w[v].a);t[v].style.paddingBottom=a.Em(y+w[v].a);t[v].style.marginTop=t[v].style.marginBottom=0}}},createChar:function(u,y,w,t){var B="",x={fonts:[y[1]],noRemap:true,cache:{}};if(t&&t===d.VARIANT.BOLD&&this.FONTDATA.FONTS[y[1]+"-Bold"]){x.fonts=[y[1]+"-Bold",y[1]]}if(typeof(y[1])!=="string"){x=y[1]}if(y[0] instanceof Array){for(var z=0,v=y[0].length;z<v;z++){B+=String.fromCharCode(y[0][z])}}else{B=String.fromCharCode(y[0])}if(y[4]){w*=y[4]}var A=this.handleText(u,B,x),s=u.firstChild.style;if(w!==1){s.fontSize=this.Percent(w)}if(y[2]){s.paddingLeft=this.Em(y[2]);A.w+=y[2];A.r+=y[2]}if(y[3]){s.verticalAlign=this.Em(y[3]);A.h+=y[3];if(A.h<0){A.h=0}}if(y[5]){s.marginTop=this.Em(y[5]);A.h+=y[5];A.t+=y[5]}if(y[6]){s.marginBottom=this.Em(y[6]);A.d+=y[6];A.b+=y[6]}return A},length2em:function(w,u,x){if(typeof(w)!=="string"){w=w.toString()}if(w===""){return""}if(w===d.SIZE.NORMAL){return 1}if(w===d.SIZE.BIG){return 2}if(w===d.SIZE.SMALL){return 0.71}if(this.MATHSPACE[w]){return this.MATHSPACE[w]}var t=w.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var s=parseFloat(t[1]||"1"),v=t[2];if(u==null){u=1}if(!x){x=1}x=1/this.em/x;if(v==="em"){return s}if(v==="ex"){return s*this.TEX.x_height}if(v==="%"){return s/100*u}if(v==="px"){return s*x}if(v==="pt"){return s/10}if(v==="pc"){return s*1.2}x*=this.pxPerInch;if(v==="in"){return s*x}if(v==="cm"){return s*x/2.54}if(v==="mm"){return s*x/25.4}if(v==="mu"){return s/18}return s*u},thickness2em:function(s,t){var u=a.TEX.rule_thickness/(t||1);if(s===d.LINETHICKNESS.MEDIUM){return u}if(s===d.LINETHICKNESS.THIN){return 0.67*u}if(s===d.LINETHICKNESS.THICK){return 1.67*u}return this.length2em(s,u,t)},Em:function(s){if(Math.abs(s)<0.001){return"0"}return(s.toFixed(3).replace(/\.?0+$/,""))+"em"},EmRounded:function(s){s=(Math.round(s*a.em)+0.05)/a.em;if(Math.abs(s)<0.0006){return"0em"}return s.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(s){return parseFloat(s)},Px:function(s,t){s*=this.em;if(t&&s<t){s=t}if(Math.abs(s)<0.1){return"0"}return s.toFixed(1).replace(/\.0$/,"")+"px"},Percent:function(s){return(100*s).toFixed(1).replace(/\.?0+$/,"")+"%"},Transform:function(v,t,s){var u=v.style;u.transform=u.WebkitTransform=u.MozTransform=u["-ms-transform"]=t;if(s){u.transformOrigin=u.WebkitTransformOrigin=u.MozTransformOrigin=u["-ms-transform-origin"]=s}},arrayEntry:function(s,t){return s[Math.max(0,Math.min(t,s.length-1))]},removeStyles:["fontSize","fontFamily","fontWeight","fontStyle","fontVariant","font"]});a.BBOX=MathJax.Object.Subclass({Init:function(s){for(var t in s){if(s.hasOwnProperty(t)){this[t]=s[t]}}},clean:function(){if(this.h===-i){this.h=0}if(this.d===-i){this.d=0}if(this.l===i){this.l=0}if(this.r===-i){this.r=0}if(this.t===-i){this.t=0}if(this.b===-i){this.b=0}if(this.D&&this.d>0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}if(s+u*(t.w+(t.L||0)+(t.R||0))>this.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}this.w+=u*(t.w+(t.L||0)+(t.R||0));if(u*t.h>this.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]<u){this[v]=u}}}},{zero:function(){return a.BBOX({h:0,d:0,w:0,l:0,r:0,t:0,b:0,scale:1,rscale:1})},empty:function(s){if(!s){s=a.BBOX.zero()}s.h=s.d=s.r=s.t=s.b=-i;s.w=0;s.l=i;delete s.pwidth;return s},styleAdjust:[["borderTopWidth","h","t"],["borderRightWidth","w","r"],["borderBottomWidth","d","b"],["borderLeftWidth","w","l",0],["paddingTop","h","t"],["paddingRight","w","r"],["paddingBottom","d","b"],["paddingLeft","w","l",0],]});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){d=MathJax.ElementJax.mml;d.mbase.Augment({toCommonHTML:function(t,s){return this.CHTMLdefaultNode(t,s)},CHTMLmultiline:function(){d.mbase.CHTMLautoloadFile("multiline")},CHTMLdefaultNode:function(v,t){if(!t){t={}}v=this.CHTMLcreateNode(v);this.CHTML=a.BBOX.empty();this.CHTMLhandleStyle(v);if(this.isToken){this.CHTMLgetVariant()}this.CHTMLhandleScale(v);var s=Math.max((t.minChildren||0),this.data.length);for(var u=0;u<s;u++){this.CHTMLaddChild(v,u,t)}if(!t.noBBox){this.CHTML.clean()}this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v},CHTMLaddChild:function(x,t,s){var z=this.data[t],w;var u=s.childNodes;if(u instanceof Array){u=u[t]||"span"}if(z){if(u){x=a.addElement(x,u)}w=z.toCommonHTML(x,s.childOptions);if(u&&z.CHTML.rscale!==1){x.style.fontSize=x.firstChild.style.fontSize;x.firstChild.style.fontSize=""}if(!s.noBBox){var y=this.CHTML,v=z.CHTML;y.append(v);if(this.data.length===1){if(v.ic){y.ic=v.ic}if(v.skew){y.skew=v.skew}}else{delete y.ic;delete y.skew}if(v.pwidth){y.pwidth=v.pwidth}}}else{if(s.forceChild){w=a.addElement(x,(u||"mjx-box"))}}return w},CHTMLchildNode:function(t,s){t=t.childNodes[s];if(t.nodeName.toLowerCase()==="a"){t=t.firstChild}return t},CHTMLcoreNode:function(s){if(this.inferRow&&this.data[0]){return this.data[0].CHTMLcoreNode(s.firstChild)}return this.CHTMLchildNode(s,this.CoreIndex())},CHTMLstretchChildV:function(v,u,y){var x=this.data[v];if(x){var z=this.CHTML,t=x.CHTML;if(t.stretch||(t.stretch==null&&x.CHTMLcanStretch("Vertical",u,y))){var s=t.w;t=x.CHTMLstretchV(u,y);z.w+=t.w-s;if(z.w>z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t<s;t++){var x=z[t];if(y[x]==false||(!u[x]&&!y[x]&&w[x]==null&&typeof(v[x])==="undefined")){v.setAttribute(x,this.attr[x])}}}return v},CHTMLhandleScale:function(v){var x=1,u=this.parent,w=(u?u.CHTML.scale:1);var s=this.getValues("scriptlevel","fontsize");s.mathsize=this.Get("mathsize",null,!this.isToken);if(s.scriptlevel!==0){if(s.scriptlevel>2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x<s.scriptminsize){x=s.scriptminsize}}if(this.removedStyles&&this.removedStyles.fontSize&&!s.fontsize){s.fontsize=this.removedStyles.fontSize}if(s.fontsize&&!this.mathsize){s.mathsize=s.fontsize}if(s.mathsize!==1){x*=a.length2em(s.mathsize,1,1)}var t=this.CHTMLvariant;if(t&&t.style&&t.style["font-family"]){x*=(a.config.scale/100)/a.scale}this.CHTML.scale=x;w=this.CHTML.rscale=x/w;if(Math.abs(w-1)<0.001){w=1}if(v&&w!==1){v.style.fontSize=a.Percent(w)}return x},CHTMLhandleStyle:function(v){if(!this.style){return}var u=v.style;u.cssText=this.style;this.removedStyles={};for(var t=0,s=a.removeStyles.length;t<s;t++){var w=a.removeStyles[t];if(u[w]){this.removedStyles[w]=u[w];u[w]=""}}},CHTMLhandleBBox:function(w){var t=this.CHTML,v=w.style;if(this.data.length===1&&(this.data[0].CHTML||{}).pwidth){t.pwidth=this.data[0].CHTML.pwidth;t.mwidth=this.data[0].CHTML.mwidth;v.width="100%"}else{if(t.pwidth){t.mwidth=a.Em(t.w);v.width="100%"}else{if(t.w<0){v.width="0px";v.marginRight=a.Em(t.w)}}}if(!this.style){return}for(var u=0,s=a.BBOX.styleAdjust.length;u<s;u++){var x=a.BBOX.styleAdjust[u];if(x&&v[x[0]]){t.adjust(v[x[0]],x[1],x[2],x[3])}}},CHTMLhandleColor:function(s){if(this.mathcolor){s.style.color=this.mathcolor}else{if(this.color){s.style.color=this.color}}if(this.mathbackground){s.style.backgroundColor=this.mathbackground}else{if(this.background){s.style.backgroundColor=this.background}}},CHTMLhandleSpace:function(s){if(!this.useMMLspacing){var t=this.texSpacing();if(t!==""){this.CHTML.L=this.CHTMLlength2em(t);s.className+=" "+a.SPACECLASS[t]}}},CHTMLhandleText:function(t,u,s){if(t.firstChild&&!this.CHTML){this.CHTML=a.BBOX.empty()}this.CHTML=a.handleText(t,u,s,this.CHTML)},CHTMLgetVariant:function(){var s=this.getValues("mathvariant","fontfamily","fontweight","fontstyle"),u;s.hasVariant=this.Get("mathvariant",true);if(this.removedStyles){u=this.removedStyles;if(u.fontFamily){s.family=u.fontFamily}if(u.fontWeight){s.weight=u.fontWeight}if(u.fontStyle){s.style=u.fontStyle}}if(!s.hasVariant){if(s.fontfamily){s.family=s.fontfamily}if(s.fontweight){s.weight=s.fontweight}if(s.fontstyle){s.style=s.fontstyle}}if(s.weight&&s.weight.match(/^\d+$/)){s.weight=(parseInt(s.weight)>600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){if(u.indentalign==="right"){x.style.marginRight=a.Em(-t)}t*=a.em/a.outerEm;f.Insert(w,({left:{textIndent:a.Em(t)},right:{display:"flex",flexDirection:"row-reverse"},center:{textIndent:a.Em(2*t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,u,{childOptions:{variant:t.mathvariant,remap:this.remap,remapchars:t.remapchars}})}if(!a.isChar(t.text)){delete this.CHTML.skew}else{if(this.CHTML.w===0&&this.CHTML.l<0){this.CHTMLfixCombiningChar(v)}}if(t.largeop){this.CHTMLcenterOp(v)}}this.CHTML.clean();this.CHTMLhandleBBox(v);this.CHTMLhandleSpace(v);this.CHTMLhandleColor(v);return v},CHTMLhandleSpace:function(v){if(this.hasMMLspacing()){var t=this.getValues("scriptlevel","lspace","rspace");t.lspace=Math.max(0,this.CHTMLlength2em(t.lspace));t.rspace=Math.max(0,this.CHTMLlength2em(t.rspace));if(t.scriptlevel>0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.h<a.TEX.x_height){C.h+=a.TEX.x_height-F.h;u.style.marginTop=a.Em(a.TEX.x_height-Math.max(F.h,0.35));F.h=a.TEX.x_height}var A=u,D=0;if(F.ic){D=1.3*F.ic+0.05}if(this.data[this.over]){A=this.CHTMLaddOverscript(z,x,E,D,u,t)}if(this.data[this.under]){this.CHTMLaddUnderscript(B,x,E,D,w,A,t)}else{if(!t){w.appendChild(A)}}this.CHTMLplaceBoxes(u,B,z,E,x);return w},CHTMLgetBBoxes:function(A,x,v){var y,t=this.data.length,z,u=-i,s=u;for(y=0;y<t;y++){A[y]=this.CHTMLbboxFor(y);A[y].x=A[y].y=0;if(this.data[y]){A[y].stretch=this.data[y].CHTMLcanStretch("Horizontal")}z=(y===this.base?1:A[y].rscale);if(y!==this.base){delete A[y].L;delete A[y].R}s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)));if(!A[y].stretch&&s>u){u=s}}if(u===-i){u=s}for(y=0;y<t;y++){if(A[y].stretch){z=(y===this.base?1:A[y].rscale);A[y]=this.data[y].CHTMLstretchH(x[y].firstChild,u/z);A[y].x=A[y].y=0;s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)))}}if(!A[this.base]){A[this.base]=a.BBOX.empty()}return s},CHTMLaddOverscript:function(B,z,F,E,t,s){var D=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var A=z[this.over],G=z[this.base],u=A.rscale;if(!s){var C=a.Element("mjx-stack");C.appendChild(B);C.appendChild(t)}if(A.D){A.d=A.D}if(A.d<0){B.firstChild.style.verticalAlign="top";B.style.height=a.Em(A.h+A.d)}A.x=0;if(F.accent){if(A.w<0.001){A.x+=(A.r-A.l)/2}v=a.TEX.rule_thickness;w=0;if(G.skew){A.x+=u*G.skew;D.skew=u*G.skew;if(A.x+u*A.w>D.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y<v;y++){x=(y===this.base?1:z[y].rscale);var C=x*(z[y].w+(z[y].L||0)+(z[y].R||0));z[y].x+={left:0,center:(t-C)/2,right:t-C}[E.align];if(z[y].x<F){F=z[y].x}}for(y=0;y<v;y++){if(this.data[y]){x=(y===this.base?1:z[y].rscale);if(z[y].x-F){var u=(y===this.base?s:y===this.over?A:B);u.style.paddingLeft=a.Em((z[y].x-F)/x)}D.combine(z[y],z[y].x-F,z[y].y)}}this.CHTML=D},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-op","mjx-under","mjx-over"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.msubsup.Augment({toCommonHTML:function(S,C){var A=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");var D,H,z;if(C&&C.stretch){if(this.data[this.base]){D=a.getNode(S,"mjx-base")}if(this.data[this.sub]){H=a.getNode(S,"mjx-sub")}if(this.data[this.sup]){z=a.getNode(S,"mjx-sup")}E=a.getNode(S,"mjx-stack")}else{var K=["mjx-base","mjx-sub","mjx-sup"];if(this.sup===1){K[1]=K[2]}S=this.CHTMLdefaultNode(S,{childNodes:K,noBBox:true,forceChild:true,minChildren:3});D=S.childNodes[this.base];H=S.childNodes[this.sub];z=S.childNodes[this.sup];if(!this.CHTMLnotEmpty(this.data[this.sub])){S.removeChild(H);H=null}if(!this.CHTMLnotEmpty(this.data[this.sup])){S.removeChild(z);z=null}if(S.childNodes.length===3){var E=a.addElement(S,"mjx-stack");E.appendChild(z);E.appendChild(H)}}var F=[],G=a.BBOX.empty(this.CHTML);for(var V=0,T=this.data.length;V<T;V++){F[V]=this.CHTMLbboxFor(V)}var y=F[this.base]||a.BBOX.empty(),P=F[this.sub],W=F[this.sup];var B=(H?P.rscale:1),w=(z?W.rscale:1);G.combine(y,0,0);var X=a.TEX.x_height,N=a.TEX.scriptspace;var Q=a.TEX.sup_drop*w,O=a.TEX.sub_drop*B;var L=y.h-Q,J=y.d+O,Y=0,R;if(y.ic){G.w-=y.ic;D.style.marginRight=a.Em(-y.ic);Y=1.3*y.ic+0.05}var U=this.data[this.base];if(U){if((U.type==="mrow"||U.type==="mstyle")&&U.data.length===1){U=U.data[0]}if(U.type==="mi"||U.type==="mo"){if(a.isChar(U.data.join(""))&&y.rscale===1&&!y.sH&&!U.Get("largeop")){L=J=0}}}A.subscriptshift=(A.subscriptshift===""?0:this.CHTMLlength2em(A.subscriptshift));A.superscriptshift=(A.superscriptshift===""?0:this.CHTMLlength2em(A.superscriptshift));var I=G.w;if(H){P.w+=N}if(z){W.w+=N}if(!z){if(H){J=Math.max(J,a.TEX.sub1,B*P.h-(4/5)*X,A.subscriptshift);H.style.verticalAlign=a.Em(-J/B);H.style.paddingRight=a.Em(N/B);G.combine(P,I,-J)}}else{if(!H){R=a.TEX[(A.displaystyle?"sup1":(A.texprimestyle?"sup3":"sup2"))];L=Math.max(L,R,w*W.d+(1/4)*X,A.superscriptshift);z.style.verticalAlign=a.Em(L/w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);G.combine(W,I+Y,L)}else{J=Math.max(J,a.TEX.sub2);var M=a.TEX.rule_thickness;if((L-w*W.d)-(B*P.h-J)<3*M){J=3*M-L+w*W.d+B*P.h;Q=(4/5)*X-(L-w*W.d);if(Q>0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(K<L){I+=(L-K)/2;G+=(L-K)/2}}else{L=Math.max((O?2:0)*M+J,J/2+1.5*M);J=Math.max(J,M);K=(I-P.d*F)-(T+J/2);if(K<L){I+=(L-K)}K=(T-J/2)-(B.h*z-G);if(K<L){G+=(L-K)}P.L=P.R=B.L=B.R=0.1;var A=a.addElement(y,"mjx-line",{style:{"border-bottom":a.Px(J*C.scale,1)+" solid",top:a.Em(-J/2-T)}})}C.combine(P,0,I);C.combine(B,0,-G);C.clean();y.style.width=a.Em(C.w);D.style.width=a.Em(C.w/F);w.style.width=a.Em(C.w/z);if(A){A.style.width=y.style.width}D.style.top=a.Em(-C.h/F);w.style.bottom=a.Em(-C.d/z);a.addElement(N,"mjx-vsize",{style:{height:a.Em(C.h+C.d),verticalAlign:a.Em(-C.d)}})}if(!this.texWithDelims){var Q=a.TEX.nulldelimiterspace;y.style.padding="0 "+a.Em(Q);C.l+=Q;C.r+=Q;C.w+=2*Q}return N},CHTMLcanStretch:function(s){return false}});d.msqrt.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w,{childNodes:["mjx-box","mjx-root"],forceChild:true,noBBox:true});var v=w.firstChild||a.Element("mjx-box");var E=a.addElement(w,"mjx-box");E.appendChild(v);var F=this.CHTMLbboxFor(0),C=a.BBOX.empty(this.CHTML);var G=a.TEX.rule_thickness,y=a.TEX.surd_height,u=G,s,D;if(this.Get("displaystyle")){u=a.TEX.x_height}s=G+u/4;D=F.h+F.d+s+G;var z=a.Element("mjx-surd");E.insertBefore(z,v);var A=a.createDelimiter(z,8730,[D-0.04,D]);if(A.h+A.d>D){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,z.scale)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9*t)+0.6*t+Math.max(0,u.d*u.scale-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,"sep"+u,{});this.CHTMLaddChild(v,u,{})}this.CHTMLaddChild(v,"close",{});var t=this.CHTML.h,w=this.CHTML.d;this.CHTMLstretchChildV("open",t,w);for(u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV("sep"+u,t,w);this.CHTMLstretchChildV(u,t,w)}this.CHTMLstretchChildV("close",t,w);this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mrow.Augment({toCommonHTML:function(w,t){t=t||{};w=this.CHTMLdefaultNode(w);var z=this.CHTML,v=z.h,x=z.d,y;for(var u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV(u,v,x);if(this.data[u]&&this.data[u].CHTML&&this.data[u].CHTML.w<0){y=true}}if(this.CHTMLlineBreaks()){this.CHTMLmultiline(w);if(t.autowidth){w.style.width=""}}else{if(y&&z.w){w.style.width=a.Em(Math.max(0,z.w))}if(z.w<0){w.style.marginRight=a.Em(z.w)}}return w},CHTMLlineBreaks:function(){if(!this.parent.linebreakContainer){return false}return(c.automatic&&this.CHTML.w>a.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML);
+MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.9";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;q<n;q++){var B=this.data[q],A=(B.type==="mtr"?0:c);y[q]=r;h[q]=t;for(var p=A,v=B.data.length+A;p<v;p++){if(l[p]==null){l[p]=-f;if(p>w){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;q<n;q++){y[q]=x;h[q]=o}}k.H=y;k.D=h;k.W=l,k.J=w},CHTMLgetAttributes:function(v,j){var l=d(v.columnspacing),x=d(v.rowspacing),t=d(v.columnalign),r=d(v.rowalign),k=d(v.columnlines),w=d(v.rowlines),o=d(v.columnwidth),n=[],q,p,u=j.J,s=j.rows.length-1;for(q=0,p=l.length;q<p;q++){l[q]=this.CHTMLlength2em(l[q])}for(q=0,p=x.length;q<p;q++){x[q]=this.CHTMLlength2em(x[q])}while(l.length<u){l.push(l[l.length-1])}while(t.length<=u){t.push(t[t.length-1])}while(k.length<u){k.push(k[k.length-1])}while(o.length<=u){o.push(o[o.length-1])}while(x.length<s){x.push(x[x.length-1])}while(r.length<=s){r.push(r[r.length-1])}while(w.length<s){w.push(w[w.length-1])}t[c]=(v.side.substr(0,1)==="l"?"left":"right");for(q=0;q<=s;q++){var y=this.data[q];n[q]=[];if(y.rowalign){r[q]=y.rowalign}if(y.columnalign){n[q]=d(y.columnalign);while(n[q].length<=u){n[q].push(n[q][n[q].length-1])}}}var h=d(v.framespacing);if(h.length!=2){h=d(this.defaults.framespacing)}h[0]=Math.max(0,this.CHTMLlength2em(h[0]));h[1]=Math.max(0,this.CHTMLlength2em(h[1]));if(v.columnlines.replace(/none/g,"").replace(/ /g,"")!==""||v.rowlines.replace(/none/g,"").replace(/ /g,"")!==""){v.fspace=true}if(v.frame===b.LINES.NONE){delete v.frame}else{v.fspace=true}if(v.frame){h[0]=Math.max(0,h[0]);h[1]=Math.max(0,h[1])}if(v.fspace){l[u]=h[0];x[s]=h[1]}else{l[u]=x[s]=0}k[u]=w[s]=b.LINES.NONE;j.CSPACE=l;j.RSPACE=x;j.CALIGN=t;j.RALIGN=r;j.CLINES=k;j.RLINES=w;j.CWIDTH=o;j.RCALIGN=n;j.FSPACE=h},CHTMLadjustCells:function(l,r){var S=r.rows,W=r.CSPACE,o=r.CLINES,x=r.RSPACE,F=r.RLINES,V=r.CALIGN,q=r.RALIGN,G=r.RCALIGN;W[r.J]*=2;x[S.length-1]*=2;var p="0",I,t,z,N,n,P,U=0;if(l.fspace){U=r.FSPACE[1];p=e.Em(r.FSPACE[1])}r.RHD=[];r.RH=[];for(var Q=0,K=S.length;Q<K;Q++){var w=S[Q],v=this.data[Q];I=x[Q]/2;N=null;z="0";if(F[Q]!==b.LINES.NONE&&F[Q]!==""){N=r.t+" "+F[Q]}if(N||(o[O]!==b.LINES.NONE&&o[O]!=="")){while(w.length<=r.J){w.push(e.addElement(w.node,"mjx-mtd",null,[["span"]]))}}r.RH[Q]=U+r.H[Q];U=Math.max(0,I);r.RHD[Q]=r.RH[Q]+U+r.D[Q];I=e.Em(U);if(l.fspace){z=e.Em(r.FSPACE[0])}for(var O=0,y=w.length;O<y;O++){var E=(v.type==="mtr"?0:c);var J=v.data[O-E]||{CHTML:e.BBOX.zero()};var k=w[O].style;n=J.CHTML;t=W[O]/2;if(o[O]!==b.LINES.NONE){k.borderRight=r.t+" "+o[O];t-=1/e.em/2}t=e.Em(Math.max(0,t));k.padding=p+" "+t+" 0px "+z;if(N){k.borderBottom=N}z=t;P=(J.rowalign||(this.data[Q]||{}).rowalign||q[Q]);var A=Math.max(1,n.h),C=Math.max(0.2,n.d),h=(r.H[Q]+r.D[Q])-(A+C),u=w[O].firstChild.style;if(P===b.ALIGN.TOP){if(h){u.marginBottom=e.Em(h)}k.verticalAlign="top"}else{if(P===b.ALIGN.BOTTOM){k.verticalAlign="bottom";if(h){u.marginTop=e.Em(h)}}else{if(P===b.ALIGN.CENTER){if(h){u.marginTop=u.marginBottom=e.Em(h/2)}k.verticalAlign="middle"}else{if(A!==r.H[Q]){u.marginTop=e.Em(r.H[Q]-A)}}}}P=(J.columnalign||G[Q][O]||V[O]);if(P!==b.ALIGN.CENTER){k.textAlign=P}}w.node.style.height=e.Em(r.RHD[Q]);p=I}W[r.J]/=2;x[S.length-1]/=2},CHTMLalignV:function(w,k,o){var m,t=k.rows.length,v=k.H,j=k.D,x=k.RSPACE;if(typeof(w.align)!=="string"){w.align=String(w.align)}if(w.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){m=parseInt(RegExp.$3||"0");w.align=RegExp.$1;if(m<0){m+=k.rows.length+1}if(m>t||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q<t;q++){var r=v[q],s=j[q];p+=r+s+x[q];if(m){if(q===m-1){l+=({top:r+s,bottom:0,center:(r+s)/2,baseline:s,axis:u+s})[w.align]+x[q]}if(q>=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n||(y&&C)){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;H<B;H++){F=h[H];v=Math.max(o[F],this.CHTMLlength2em(I[F],G));k+=v-o[F];o[F]=v;t[F].style.width=e.Em(v)}E+=k}if(!C){D=s}if(G>E&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;H<B;H++){F=D[H];o[F]+=x;t[F].style.width=e.Em(o[F])}E=G}}}o[c]=r.W[c];r.W=o;r.R=E;if(y){A.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=e.Em(E);A.firstChild.style.width=l.width;A.firstChild.style.margin="auto"}},CHTMLstretchCells:function(x,l){var y=l.rows,w=l.H,k=l.D,m=l.W,t=l.J,s=y.length-1;for(var o=0;o<=s;o++){var z=y[o],q=this.data[o];var p=w[o],r=k[o];for(var n=0;n<=t;n++){var v=z[n],u=q.data[n];if(!u){continue}if(u.CHTML.stretch==="V"){u.CHTMLstretchV(p,r)}else{if(u.CHTML.stretch==="H"){u.CHTMLstretchH(v,m[n])}}}}},CHTMLaddLabels:function(h,k,w,B){var q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(q.indentalignfirst!==b.INDENTALIGN.INDENTALIGN){q.indentalign=q.indentalignfirst}if(q.indentalign===b.INDENTALIGN.AUTO){q.indentalign=a.displayAlign}if(q.indentshiftfirst!==b.INDENTSHIFT.INDENTSHIFT){q.indentshift=q.indentshiftfirst}if(q.indentshift==="auto"){q.indentshift="0"}var z=this.CHTMLlength2em(q.indentshift,e.cwidth);var A=this.CHTMLlength2em(h.minlabelspacing,0.8);var p=A+k.W[c],y=0,D=k.R;var n=this.CHTMLlength2em(a.displayIndent,e.cwidth);var t=(k.CALIGN[c]===b.INDENTALIGN.RIGHT?-1:1);if(q.indentalign===b.INDENTALIGN.CENTER){D+=2*(p-t*(z+n));z+=n}else{if(k.CALIGN[c]===q.indentalign){if(n<0){y=t*n;n=0}z+=t*n;if(p>t*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x<v;x++){if(l[x]&&this.data[x].data[0]){C.appendChild(l[x]);var r=this.data[x].data[0].CHTML;j=k.RH[x]-Math.max(1,r.h);if(j){l[x].firstChild.firstChild.style.marginTop=e.Em(j)}l[x].style.height=e.Em(k.RHD[x])}else{e.addElement(C,"mjx-label",{style:{height:e.Em(k.RHD[x])}})}}w.style.width=this.CHTML.pwidth="100%";w.style.minWidth=this.CHTML.mwidth=e.Em(Math.max(0,D))}});b.mtr.Augment({toCommonHTML:function(l,j){l=this.CHTMLcreateNode(l);this.CHTMLhandleStyle(l);this.CHTMLhandleScale(l);if(!j){j={rows:[],labels:[]}}var n=[];j.rows.push(n);n.node=l;j.labels.push(null);for(var k=0,h=this.data.length;k<h;k++){n.push(this.CHTMLaddChild(l,k,j))}this.CHTMLhandleColor(l);return l}});b.mlabeledtr.Augment({toCommonHTML:function(n,k){n=this.CHTMLcreateNode(n);this.CHTMLhandleStyle(n);this.CHTMLhandleScale(n);if(!k){k={rows:[],labels:[]}}var o=[];k.rows.push(o);o.node=n;var j=e.Element("mjx-label");k.labels.push(j);this.CHTMLaddChild(j,0,k);if(this.data[0]){k.labeled=true}for(var l=1,h=this.data.length;l<h;l++){o.push(this.CHTMLaddChild(n,l,k))}this.CHTMLhandleColor(n);return n}});b.mtd.Augment({toCommonHTML:function(l,i){l=this.CHTMLdefaultNode(l,i);e.addElement(l.firstChild,"mjx-strut");if(this.isEmbellished()){var m=this.CoreMO(),h=this.CHTML;if(m.CHTMLcanStretch("Vertical")){h.stretch="V"}else{if(m.CHTMLcanStretch("Horizontal")){h.stretch="H"}}if(h.stretch){var j=m.Get("minsize",true);if(j){if(h.stretch==="V"){var n=h.h+h.d;if(n){var k=this.CHTMLlength2em(j,n)/n;if(k>1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_CHTML-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_CHTML-full.js");
diff --git a/config/AM_CHTML.js b/config/AM_CHTML.js
index 251c5c8433..f27fb3cf62 100644
--- a/config/AM_CHTML.js
+++ b/config/AM_CHTML.js
@@ -33,17 +33,105 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_CHTML.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_CHTML.js");
diff --git a/config/AM_HTMLorMML-full.js b/config/AM_HTMLorMML-full.js
index 9671044f5e..a7da56b941 100644
--- a/config/AM_HTMLorMML-full.js
+++ b/config/AM_HTMLorMML-full.js
@@ -40,22 +40,110 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
 (function(c,g){var f="2.7.0";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
 (function(l,c,g,e){var f,i=c.Browser.isMSIE;var h,b,d,k;c.Register.StartupHook("MathZoom Ready",function(){k=MathJax.Extension.MathZoom});var j=function(m,o){var n=e.Element("span");m="padding"+m;if(o){n.style.cssText=(o.getAttribute("style")||"");if(n.style.padding===""&&(n.style[m]||"")===""){n.style[m]="0px";o.setAttribute("style",n.style.cssText)}}};var a=function(r,m,p){if(r){var o=e.Element("span");o.style.cssText=(r.getAttribute("style")||"");if(o.style.padding===""){var q={paddingLeft:p,paddingTop:m,paddingRight:"0px",paddingBottom:"0px"};for(var n in q){if(q.hasOwnProperty(n)){if((o.style[n]||"")===""){o.style[n]=q[n]}}}}r.setAttribute("style",o.style.cssText)}};l.Augment({config:{styles:{".MathJax_MathML":{"font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},"span.MathJax_MathML":{display:"inline!important"},"div.MathJax_MathML":{display:"block!important"},".MathJax_mmlExBox":{display:"block!important",overflow:"hidden",height:"1px",width:"60ex","min-height":0,"max-height":"none",padding:0,border:0,margin:0}}},handlesVariants:false,settings:c.config.menuSettings,ex:1,scale:1,adjustWidths:[],Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(c.config.displayAlign!=="center"){var o=c.config.displayAlign,m=c.config.displayIndent;var n={"text-align":o+"!important"};n["margin-"+o]=m+"!important";c.Insert(this.config.styles,{"div.MathJax_MathML":n,"div.MathJax_MathML math":{"text-align":o},"div.MathJax_MathContainer > span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!c.Browser.hasMathPlayer){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(c.Browser.hasMathPlayer){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){if(!this.config.noMathPlayerWarning){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}if(!this.initialized){this.InitializeMML()}r=y.previousSibling;if(r&&r.className==="MathJax_MathML"){r.parentNode.removeChild(r)}n=y.MathJax.elementJax;if(!n){continue}z=n.root;n.NativeMML={};var x=(z.Get("display")==="block"?"div":"span");A=e.Element(x,{className:"MathJax_MathML",id:n.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);y.parentNode.insertBefore(A,y);if(!i){y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y)}}for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}n=y.MathJax.elementJax;if(!n){continue}if(!i){w=y.previousSibling;v=w.firstChild.offsetWidth/60;s=w.lastChild.offsetWidth/60;if(v===0||v==="NaN"){v=this.defaultEx;s=this.defaultMEx}q=(this.config.matchFontHeight&&s>1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;u<p;u++){y=t[u];if(y.parentNode&&y.MathJax.elementJax){y.parentNode.removeChild(y.previousSibling)}}}},Translate:function(s){if(!s.parentNode){return}var m=s.MathJax.elementJax,t=m.root;var u=document.getElementById(m.inputID+"-Frame");if(!u){return}var n=u.firstChild,q=n.firstChild;this.ex=m.NativeMML.ex||this.defaultEx;this.scale=m.NativeMML.scale||1;if(this.scale!==1){u.style.fontSize=m.NativeMML.fontSize}try{t.toNativeMML(q,m)}catch(r){if(r.restart){while(q.firstChild){q.removeChild(q.firstChild)}}throw r}if(i){if(n.addEventListener){for(var o in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(o)){n.addEventListener(o,this.MSIE9event,true)}}}else{var p=(this.config.showMathMenuMSIE!=null?this:c).config;if(p.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(n)}else{n.style.position="";q.firstChild.onmousedown=this.MSIEaltMenu}}}else{n.oncontextmenu=h.Menu;n.onmouseover=h.Mouseover;n.onmouseout=h.Mouseout;n.onmousedown=h.Mousedown;n.onclick=h.Click;n.ondblclick=h.DblClick;n.onkeydown=h.Keydown;n.tabIndex=c.getTabOrder(m);if(c.Browser.noContextMenu){n.ontouchstart=b.start;n.ontouchend=b.end}}},postTranslate:function(n){if(this.forceReflow){var m=(document.styleSheets||[])[0]||{};m.disabled=true;m.disabled=false}},Remove:function(m){var n=m.SourceElement();if(!n){return}n=n.previousSibling;if(!n){return}if(n.className.match(/MathJax_MathML/)){n.parentNode.removeChild(n)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",isFullWidth:function(r){if(!r){return}var q=r.getAttribute("width")||(String(r.getAttribute("style")).match(/(?:^| )width: *([^; ]*)/)||[])[1];if(q){return !!q.match(/%/)}if(r.nodeName.match(/^(semantics|math|mstyle)$/)){q=this.isFullWidth(r.firstChild)}else{if(r.nodeName.toLowerCase()==="mrow"){for(var o=0,n=r.childNodes.length;o<n&&!q;o++){q=this.isFullWidth(r.childNodes[o])}}}if(q){var p="width:100%; "+(r.getAttribute("style")||"");r.setAttribute("style",p.replace(/ +$/,""))}return q},MSIEoverlay:function(m){var n=m.firstChild;if(n.nodeName.toLowerCase()==="span"){n=n.firstChild}var o=this.getHoverBBox(null,n,{});e.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:d.Px(-o.w),top:d.Px(-o.h-(o.y||0)-1),width:d.Px(o.w),height:d.Px(o.h+o.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);c.Insert(m,{msieMath:n,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var n=window.event;var m=l.MSIEevents[n.type];if(l[m]&&l[m](n,this)===false){return false}if(k&&k.HandleEvent(n,m,this)===false){return false}if(n.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(m==="ContextMenu"||m==="Mouseover"||m==="Mouseout"){this.msieMath.fireEvent("on"+n.type,n)}}return h.False(n)},MSIEaltMenu:function(){var m=this.parentNode.parentNode;while(!m.jaxID){m=m.parentNode}h.AltContextMenu(window.event,m)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(n){if(n.type==="contextmenu"&&l.settings.mpContext){return true}if(n.type==="mouseup"&&l.settings.mpMouse){return true}if(n.type==="click"&&l.settings.mpContext){return h.AltContextMenu(n,this)}var m=l.MSIE9events[n.type];return h[m].call(this,n)},getJaxFromMath:function(m){m=m.parentNode;do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return c.getJaxFor(m)},getHoverSpan:function(m,n){return n.firstChild},getHoverBBox:function(m,n,o){return h.getBBox(n.parentNode)},Zoom:function(n,u,s,m,r){n.root.toNativeMML(u);if(this.msieIE8HeightBug){u.style.position="absolute"}if(l.widthBug){u.style.width=u.parentNode.style.width=""}if(u.parentNode.style.width.match(/%$/)){u.parentNode.style.minWidth=Math.ceil(3*r/4)+"px"}var p=s.offsetWidth||s.scrollWidth,v=s.offsetHeight||s.scrollHeight;var t=u.offsetWidth,q=u.offsetHeight;if(l.widthBug||u.style.width.match(/%/)){var o=u.firstChild.firstChild.scrollWidth;if(o>t){t=o;u.parentNode.style.width=u.style.minWidth=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}r.appendChild(p)},NativeMMLattributes:function(w){var r=(this.type==="mstyle"?f.math.prototype.defaults:this.defaults);var t=(this.attrNames||f.copyAttributeNames),v=f.skipAttributes,o=f.copyAttributes;if(!this.attrNames){for(var p in r){if(!v[p]&&!o[p]&&r.hasOwnProperty(p)){if(this[p]!=null&&this[p]!==r[p]){if(this.Get(p,null,1)!==this[p]){w.setAttribute(p,this.NativeMMLattribute(this[p]))}}}}}for(var s=0,q=t.length;s<q;s++){if(o[t[s]]===1&&!r.hasOwnProperty(t[s])){continue}var u=(this.attr||{})[t[s]];if(u==null){u=this[t[s]]}if(u!=null){w.setAttribute(t[s],this.NativeMMLattribute(u))}}this.NativeMMLclass(w)},NativeMMLclass:function(o){var q=[];if(this["class"]){q.push(this["class"])}if(this.isa(f.TeXAtom)){var p=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(p){q.push("MJX-TeXAtom-"+p);if(p==="OP"&&!this.movablelimits){q.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){q.push("MJX"+this.mathvariant)}if(this.variantForm){q.push("MJX-variant")}if(q.length){o.setAttribute("class",q.join(" "))}},NativeMMLattribute:function(o){o=String(o);if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}else{if(o.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){o=(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.NativeMMLvariants[o]){o=this.NativeMMLvariants[o]}}}return o},NativeMMLvariants:{"-tex-caligraphic":f.VARIANT.SCRIPT,"-tex-caligraphic-bold":f.VARIANT.BOLDSCRIPT,"-tex-oldstyle":f.VARIANT.NORMAL,"-tex-oldstyle-bold":f.VARIANT.BOLD,"-tex-mathit":f.VARIANT.ITALIC},NativeMMLelement:function(o){var p=(c.Browser.mpNamespace?document.createElement("m:"+o):(document.createElementNS?document.createElementNS(l.MMLnamespace,o):document.createElement(o)));p.isMathJax=true;return p}});f.mrow.Augment({toNativeMML:function(s){var r,p;if(this.inferred&&this.parent.inferRow){for(r=0,p=this.data.length;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(s)}else{s.appendChild(this.NativeMMLelement("mrow"))}}}else{if(l.stretchyMoBug&&(this.open||this.close)){var q=this.NativeMMLelement("mfenced");this.NativeMMLattributes(q);r=0,p=this.data.length;if(this.open){q.setAttribute("open",this.open);r++}if(this.close){q.setAttribute("close",this.close);p--}var o=q;if(p-r+1>1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}s.appendChild(o)}else{this.SUPER(arguments).toNativeMML.call(this,s)}}}});f.msubsup.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.sup]==null){r="msub"}if(this.data[this.sub]==null){r="msup"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});f.munderover.Augment({toNativeMML:function(s){var r=this.type;var t=this.data[this.base];if(t&&t.isa(f.TeXAtom)&&t.movablelimits&&!t.Get("displaystyle")){r="msubsup";if(this.data[this.under]==null){r="msup"}if(this.data[this.over]==null){r="msub"}}else{if(this.data[this.under]==null){r="mover"}if(this.data[this.over]==null){r="munder"}}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});if(!i){var m=c.SplitList;f.mtable.Augment({toNativeMML:function(z){var s,q;if(l.tableSpacingBug){var A=this.getValues("rowspacing","columnspacing");this.nMMLtopPadding=m("0px "+A.rowspacing);this.nMMLleftPadding=m("0px "+A.columnspacing);var y=this.nMMLtopPadding,v=y.length;for(s=0,q=this.data.length;s<q;s++){if(this.data[s]){this.data[s].nMMLtopPadding=y[s<v?s:v-1]}}}if(l.tableLabelBug){for(s=0,q=this.data.length;s<q;s++){if(this.data[s]&&this.data[s].isa(f.mlabeledtr)){var u=c.config.displayAlign.charAt(0),w=this.Get("side").charAt(0);this.nMMLhasLabels=true;this.nMMLlaMatch=(u===w);this.nMMLforceWidth=(u==="c"||!!((this.width||"").match("%")));break}}}if(this.width&&this.ffTableWidthBug){var B=(this.style||"").replace(/;\s*$/,"").split(";");if(B[0]===""){B.shift()}B.push("width:"+this.width);this.style=B.join(";")}this.SUPER(arguments).toNativeMML.call(this,z);if(this.nMMLhasLabels){var r=z.firstChild;if(this.nMMLforceWidth||w!=="r"){var p=(u!=="l"?1:0)+(w==="l"?1:0);if(p){var t={columnalign:"left",columnwidth:"auto",columnspacing:"0px",columnlines:"none"};for(var o in t){if(t.hasOwnProperty(o)&&this[o]){var x=[t[o],t[o]].slice(2-p).join(" ")+" ";r.setAttribute(o,x+r.getAttribute(o))}}}}if(this.nMMLforceWidth||!this.nMMLlaMatch){r.setAttribute("width","100%")}}}});f.mtr.Augment({toNativeMML:function(v){this.SUPER(arguments).toNativeMML.call(this,v);var p=v.lastChild;if(l.tableSpacingBug){var r=this.parent.nMMLleftPadding,t=r.length;for(var w=p.firstChild,q=0;w;w=w.nextSibling,q++){a(w,this.nMMLtopPadding,r[q<t?q:t-1])}}if(l.tableLabelBug){var o=this.parent.nMMLforceWidth,u=this.parent.Get("side").charAt(0),s=c.config.displayAlign.charAt(0);if(this.parent.nMMLhasLabels&&p.firstChild){if(o||u!=="r"){j("Left",p.firstChild);if(s!=="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}if(u==="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}}if(o||u!=="l"){j("Right",p.lastChild)}}}}});f.mlabeledtr.Augment({toNativeMML:function(C){var t=this.NativeMMLelement("mtr");this.NativeMMLattributes(t);for(var u=1,s=this.data.length;u<s;u++){if(this.data[u]){this.data[u].toNativeMML(t)}else{t.appendChild(this.NativeMMLelement("mtd"))}}if(l.tableSpacingBug){var v=this.parent.nMMLleftPadding,y=v.length;u=0;for(var D=t.firstChild;D;D=D.nextSibling,u++){a(D,this.nMMLtopPadding,v[u<y?u:y-1])}}if(l.tableLabelBug&&this.data[0]){var z=this.parent.Get("side").charAt(0),x=c.config.displayAlign.charAt(0),q=c.config.displayIndent;this.data[0].toNativeMML(t);var A=t.lastChild,r=A;if(z===x){A.setAttribute("style","width:"+q);A.setAttribute("columnalign",c.config.displayAlign)}else{r=this.NativeMMLelement("mpadded");r.setAttribute("style","width:0");r.setAttribute("width","0px");r.appendChild(A.firstChild);A.appendChild(r)}j("",A);t.removeChild(A);var o=100,p=this.parent.nMMLforceWidth;if((this.parent.width||"").match(/%/)){o-=parseFloat(this.parent.width)}var B=o;if(p||z!=="r"){j("Left",t.firstChild);if(x!=="l"){if(x==="c"){B/=2}o-=B;t.insertBefore(this.NativeMMLelement("mtd"),t.firstChild).setAttribute("style","padding:0;width:"+B+"%")}if(z==="l"){t.insertBefore(A,t.firstChild)}}if(p||z!=="l"){j("Right",t.lastChild);if(x!=="r"){t.appendChild(this.NativeMMLelement("mtd")).setAttribute("style","padding:0;width:"+o+"%")}if(z==="r"){if(z!==x){r.setAttribute("lspace","-1width")}t.appendChild(A)}}}C.appendChild(t)}});f.mtd.Augment({toNativeMML:function(r){var p=r.appendChild(this.NativeMMLelement(this.type));this.NativeMMLattributes(p);if(l.mtdWidthBug){l.adjustWidths.push(p);p=p.appendChild(this.NativeMMLelement("mrow"))}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}}});f.mspace.Augment({toNativeMML:function(q){this.SUPER(arguments).toNativeMML.call(this,q);if(l.spaceWidthBug&&this.width){var r=q.lastChild;var p=r.getAttribute("width");var o=(r.getAttribute("style")||"").replace(/;?\s*/,"; ");r.setAttribute("style",o+"width:"+p)}}});f.mn.Augment({NativeMMLremapMinus:function(o){return o.replace(/^-/,"\u2212")},toNativeMML:function(s){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);var r=this.NativeMMLremapMinus;for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p,r);r=null}}s.appendChild(p)}});var n=g.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");l.Augment({config:{styles:{'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+n+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Caligraphic-Bold.otf')"}}}});if(!this.handlesVariants){l.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},"@font-face /*3*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+n+"/MathJax_AMS-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Script-WEB",src:"url('"+n+"/MathJax_Script-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+n+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Fraktur-Bold.otf')"}}}})}}f.math.Augment({toNativeMML:function(y,p){var A=this.NativeMMLelement(this.type),w=A;var u=(p?MathJax.InputJax[p.inputJax].annotationEncoding:null);var v,r;l.adjustWidths=[];A.setAttribute("xmlns",l.MMLnamespace);this.NativeMMLattributes(A);if(l.widthBug){A=A.appendChild(this.NativeMMLelement("mrow"))}if(u){A=A.appendChild(this.NativeMMLelement("semantics"));A.appendChild(this.NativeMMLelement("mrow"));var s=A.appendChild(this.NativeMMLelement("annotation"));s.appendChild(document.createTextNode(p.originalText));s.setAttribute("encoding",u);A=A.firstChild}for(v=0,r=this.data.length;v<r;v++){if(this.data[v]){this.data[v].toNativeMML(A)}else{A.appendChild(this.NativeMMLelement("mrow"))}}var t=((this.data[0]||{data:[]}).data[0]||{});if(t.nMMLhasLabels){if(t.nMMLforceWidth||!t.nMMLlaMatch){A.setAttribute("style","width:100%");if(u){A.parentNode.setAttribute("style","width:100%")}}if(t.nMMLlaMatch){if(y.parentNode.parentNode.nodeName.toLowerCase()==="div"){y.parentNode.parentNode.style.setProperty("margin-"+c.config.displayAlign,"0px","important")}}}var x=l.isFullWidth(w);if(x){y.style.width=y.parentNode.style.width="100%"}y.appendChild(w);if(l.widthBug&&!x){y.style.width=(w.firstChild.scrollWidth/l.ex/l.scale).toFixed(3)+"ex";if(p){p.NativeMML.scrollWidth=w.firstChild.scrollWidth}}if(l.adjustWidths.length){var z=[];for(v=0,r=l.adjustWidths.length;v<r;v++){A=l.adjustWidths[v];var o=A.getAttribute("style")||"";if(!o.match(/(^|;)\s*min-width:/)){var q=A.firstChild.scrollWidth;z.push(q);q=(q/l.ex).toFixed(3)+"ex";o=o.replace(/;?\s*$/,"; ");A.setAttribute("style",o+"min-width:"+q)}}if(!p){p=c.getJaxFor(y)}if(p){p.NativeMML.mtds=z}w.MathJaxMtds=l.adjustWidths;l.adjustWidths=[]}}});f.mfenced.Augment({toNativeMML:function(w){if(!l.mfencedBug){this.SUPER(arguments).toNativeMML.call(this,w);return}var t=c.Browser.isOpera;var u,p,r;var q=this.getValues("open","close","separators");q.open=q.open.replace(/^\s+/,"").replace(/\s+$/,"");q.close=q.close.replace(/^\s+/,"").replace(/\s+$/,"");q.separators=q.separators.replace(/\s+/g,"").split("");if(q.separators.length==0){q.separators=null}else{if(q.separators.length<this.data.length-1){var v=q.separators[q.separators.length-1];for(u=this.data.length-1-q.separators.length;u>0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u<p;u++){if(q.separators&&u>0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(p,o){var q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p<o;p++){q.appendChild(this.data[p].cloneNode(true))}}});f.mi.Augment({toNativeMML:function(p){this.SUPER(arguments).toNativeMML.call(this,p);if(l.miItalicBug){if(this.Get("mathvariant")===f.VARIANT.NORMAL){var o=p.lastChild;o.setAttribute("mathvariant",f.VARIANT.NORMAL)}}}});f.mo.Augment({toNativeMML:function(t){this.SUPER(arguments).toNativeMML.call(this,t);if(l.webkitMoSpacingBug){var o=0,s=0,v=this.parent;if(v&&v.type==="mrow"&&(v.inferred||!v.isEmbellished())){var q=this.getValues("lspace","rspace");o=q.lspace,s=q.rspace;if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}if(l.NAMEDSPACE[s]){s=l.NAMEDSPACE[s]}}var u=t.lastChild;var r=e.Element("span");r.style.cssText=(u.getAttribute("style")||"");r.style.setProperty("-webkit-margin-start",o);r.style.setProperty("-webkit-margin-end",s);u.setAttribute("style",r.style.cssText)}}});f.mmultiscripts.Augment({toNativeMML:function(s){if(!l.mmultiscriptsBug||this.data.length===0){this.SUPER(arguments).toNativeMML.call(this,s);return}var q=this.NativeMMLelement("mrow");this.NativeMMLattributes(q);if(this.data[0]){this.data[0].toNativeMML(q)}else{q.appendChild(this.NativeMMLelement("mrow"))}var t=q.removeChild(q.lastChild);var p=this.data.length,r,o;for(r=1;r<p;r+=2){if(this.data[r].type==="mprescripts"){break}o=this.NativeMMLelement("msubsup");o.appendChild(t);if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}t=o}q.appendChild(t);for(r++;r<p;r+=2){o=this.NativeMMLelement("msubsup");o.appendChild(this.NativeMMLelement("mrow"));if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}q.insertBefore(o,t)}s.appendChild(q)}});c.Register.StartupHook("TeX mathchoice Ready",function(){f.TeXmathchoice.Augment({toNativeMML:function(o){this.Core().toNativeMML(o)}})});setTimeout(MathJax.Callback(["loadComplete",l,"jax.js"]),0)});c.Browser.Select({MSIE:function(m){var n=(document.documentMode||0);l.msieIE8HeightBug=(n===8)},Opera:function(m){l.stretchyMoBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miBug=true;l.mmultiscriptsBug=true},Firefox:function(m){var n=m.versionAtLeast("29.0");l.ffTableWidthBug=!m.versionAtLeast("13.0");l.forceReflow=!n;l.widthBug=!n;l.mtdWidthBug=true;l.handlesVariants=n;l.spaceWidthBug=!m.versionAtLeast("20.0");l.tableSpacingBug=!m.versionAtLeast("33.0");l.tableLabelBug=true;l.mfencedBug=true},Chrome:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Safari:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miItalicBug=true;l.webkitMoSpacingBug=true;l.spaceWidthBug=true;l.mmultiscriptsBug=true}});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
 (function(j,b,d){var i,k=b.Browser.isMobile;var h=MathJax.Object.isArray;var e=function(){var m=[].slice.call(arguments,0);m[0][0]=["HTML-CSS",m[0][0]];return MathJax.Message.Set.apply(MathJax.Message,m)};var f=MathJax.Object.Subclass({timeout:(k?15:8)*1000,comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],FedoraSTIXcheck:{family:"STIXSizeOneSym",testString:"abcABC",noStyleChar:true},Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",width:0,height:0,overflow:"hidden",padding:0,border:0,margin:0}},[["div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto","min-width":0,"max-width":"none",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]]]).firstChild;this.text=this.div.firstChild},findFont:function(r,o){var q=null;if(o&&this.testCollection(o)){q=o}else{for(var p=0,n=r.length;p<n;p++){if(r[p]===o){continue}if(this.testCollection(r[p])){q=r[p];break}}}if(q==="STIX"&&this.testFont(this.FedoraSTIXcheck)){q=null}return q},testCollection:function(n){var m={testString:"() {} []"};m.family={TeX:"MathJax_Size1",STIX:"STIXSizeOneSym"}[n]||n.replace(/-(Math)?/,"")+"MathJax_Size1";if(n==="STIX"){m.noStyleChar=true}return this.testFont(m)},testFont:function(p){if(p.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(p.weight||"normal");this.div.style.fontStyle=(p.style||"normal")}var r=p.familyFixed||p.family;if(!p.isWebFont&&!r.match(/^(STIX|MathJax)|'/)){r=r.replace(/_/g," ").replace(/([a-z])([A-Z])/g,"$1 $2").replace(/ Jax/,"Jax")+"','"+r+"','"+r+"-";if(p.weight){r+="Bold"}if(p.style){r+="Italic"}if(!p.weight&&!p.style){r+="Regular"}p.familyFixed=r="'"+r+"'"}var o=this.getComparisonWidths(p.testString,p.noStyleChar);var s=null;if(o){this.div.style.fontFamily=r+","+this.comparisonFont[0];if(this.div.offsetWidth==o[0]){this.div.style.fontFamily=r+","+this.comparisonFont[o[2]];if(this.div.offsetWidth==o[1]){s=false}}if(s===null&&(this.div.offsetWidth!=o[3]||this.div.offsetHeight!=o[4])){if(!p.noStyleChar&&d.FONTDATA&&d.FONTDATA.hasStyleChar){for(var q=0,n=this.testSize.length;q<n;q++){if(this.testStyleChar(p,this.testSize[q])){s=true;n=0}}}else{s=true}}}if(d.safariTextNodeBug){this.div.innerHTML=""}else{this.text.nodeValue=""}return s},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(p,r){var u=3+(p.weight?2:0)+(p.style?4:0);var o="",q=0;var t=this.div.style.fontSize;this.div.style.fontSize=r;if(d.msieItalicWidthBug&&p.style==="italic"){this.text.nodeValue=o=this.compChar;q=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+o}else{this.text.nodeValue=this.compChar+o}var m=this.div.offsetWidth-q;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+o}else{this.text.nodeValue=this.styleChar+o}var s=Math.floor((this.div.offsetWidth-q)/m+0.5);if(s===u){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+o}else{this.text.nodeValue=this.versionChar+o}p.version=Math.floor((this.div.offsetWidth-q)/m+1.5)/2}this.div.style.fontSize=t;return(s===u)},getComparisonWidths:function(r,p){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!p){r+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=r}else{this.text.nodeValue=r}this.div.style.fontFamily=this.comparisonFont[0];var o=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var t=this.div.offsetWidth,q=this.div.offsetHeight;for(var s=1,n=this.comparisonFont.length;s<n;s++){this.div.style.fontFamily=this.comparisonFont[s];if(this.div.offsetWidth!=o){return[o,this.div.offsetWidth,s,t,q]}}return null},loadWebFont:function(o){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+o.directory);var q=e(["LoadWebFont","Loading web-font %1",d.fontInUse+"/"+o.directory]);var m=MathJax.Callback({});var p=MathJax.Callback(["loadComplete",this,o,q,m]);j.timer.start(j,[this.checkWebFont,o,p],0,this.timeout);return m},loadComplete:function(p,r,o,m){MathJax.Message.Clear(r);if(m===j.STATUS.OK){this.webFontLoaded=true;o();return}this.loadError(p);if(b.Browser.isFirefox&&d.allowWebFonts){var q=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){q+=":"+document.location.port}q+="/";if(j.fileURL(d.webfontDir).substr(0,q.length)!==q){this.firefoxFontError(p)}}if(!this.webFontLoaded){d.loadWebFontError(p,o)}else{o()}},loadError:function(m){e(["CantLoadWebFont","Can't load web font %1",d.fontInUse+"/"+m.directory],null,2000);b.Startup.signal.Post("HTML-CSS Jax - web font error for "+d.fontInUse+"/"+m.directory)},firefoxFontError:function(m){e(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(m,n,o){if(m.time(o)){return}if(d.Font.testFont(n)){o(m.STATUS.OK)}else{setTimeout(m,m.delay)}},fontFace:function(q){var r=d.allowWebFonts;var t=d.FONTDATA.FONTS[q];if(d.msieFontCSSBug&&!t.family.match(/-Web$/)){t.family+="-Web"}if(t.isWebFont){delete t.familyFixed}var m=d.webfontDir+"/"+r;var p=j.fileURL(m);var o=q.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!o.match(/-/)){o+="-Regular"}if(r==="svg"){o+=".svg#"+o}else{o+="."+r}var n=j.fileRev(m+"/"+o.replace(/#.*/,""));var s={"font-family":t.family,src:"url('"+p+"/"+o+n+"')"};if(r==="otf"){o=o.replace(/otf$/,"woff");n=j.fileRev(m+"/"+o);s.src+=" format('opentype')";p=j.fileURL(d.webfontDir+"/woff");s.src="url('"+p+"/"+o+n+"') format('woff'), "+s.src}else{if(r!=="eot"){s.src+=" format('"+r+"')"}}if(!(d.FontFaceBug&&t.isWebFont)){if(q.match(/-bold/)){s["font-weight"]="bold"}if(q.match(/-italic/)){s["font-style"]="italic"}}return s}});var l,a,c;var g=MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<8;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax:focus, body :focus .MathJax":{display:"inline-table"},".MathJax_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax.MathJax_FullWidth":{"text-align":"center",display:(g?"block":"table-cell")+"!important",width:(g?"100%":"10000em")+"!important"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0!important",padding:"0!important",margin:"0!important","vertical-align":"0!important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none","box-sizing":"content-box"},".MathJax nobr":{"white-space":"nowrap!important"},".MathJax img":{display:"inline!important","float":"none!important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_test.mjx-test-display":{display:(g?"block":"table")+"!important"},".MathJax_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".MathJax_em_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60em"},".mjx-test-inline .MathJax_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_right_box":{display:(g?"block":"table-cell")+"!important",width:(g?"100%":"10000em")+"!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1000,fontName:{TeXLocal:"TeX",TeXWeb:["","TeX"],TeXImage:["",""],STIXLocal:["STIX","STIX-Web"],STIXWeb:"STIX-Web",AsanaMathWeb:"Asana-Math",GyrePagellaWeb:"Gyre-Pagella",GyreTermesWeb:"Gyre-Termes",LatinModernWeb:"Latin-Modern",NeoEulerWeb:"Neo-Euler"},fontInUse:"generic",FONTDATA:{TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{},"-largeOp":{},"-smallOp":{}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}},Config:function(){if(!this.require){this.require=[]}this.Font=f();this.SUPER(arguments).Config.call(this);var o=this.settings,n=this.config,m=o.font;if(this.adjustAvailableFonts){this.adjustAvailableFonts(n.availableFonts)}if(o.scale){n.scale=o.scale}if(m&&m!=="Auto"&&this.fontName[m]){n.availableFonts=[];delete n.fonts;if(h(this.fontName[m])){n.preferredFont=this.fontName[m][0];n.webFont=this.fontName[m][1]}else{n.preferredFont=n.webFont=this.fontName[m]}if(n.preferredFont){n.availableFonts[0]=n.preferredFont}}if(n.fonts){n.availableFonts=n.fonts;n.preferredFont=n.webFont=n.fonts[0];if(n.webFont==="STIX"){n.webFont+="-Web"}}m=this.Font.findFont(n.availableFonts,n.preferredFont);if(!m&&this.allowWebFonts){m=n.webFont;if(m){this.webFonts=true}}if(!m&&this.config.imageFont){m=n.imageFont;this.imgFonts=true}if(m){this.fontInUse=m;this.fontDir+="/"+m;this.webfontDir+="/"+m;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{e(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){l=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=l.ContextMenu;this.Mousedown=l.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var n=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(m){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.TestSpan=this.Element("span",{className:"MathJax_test"},[["span",{className:"MathJax_left_box"}],["span",{className:"MathJax_ex_box"}],["span",{className:"MathJax_em_box"}],["span",{className:"MathJax_right_box"}]]);return j.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(p){for(var o=0,n=p.length;o<n;o++){if(p[o]==="STIX"){p.splice(o,1);n--;o--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=p[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var o=0,n=d.config.preloadWebFonts.length;o<n;o++){var p=d.FONTDATA.FONTS[d.config.preloadWebFonts[o]];if(!p.available){d.Font.testFont(p)}}},InitializeHTML:function(){this.PreloadWebFonts();this.getDefaultExEm();if(this.defaultEm){return}var m=MathJax.Callback();j.timer.start(j,function(n){if(n.time(m)){b.signal.Post(["HTML-CSS Jax - no default em size"]);return}d.getDefaultExEm();if(d.defaultEm){m()}else{setTimeout(n,n.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return m},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var m=document.body.appendChild(this.TestSpan.cloneNode(true));m.className+=" mjx-test-inline mjx-test-default";this.defaultEx=m.childNodes[1].offsetHeight/60;this.defaultEm=m.childNodes[2].offsetHeight/60;this.defaultWidth=Math.max(0,m.lastChild.offsetLeft-m.firstChild.offsetLeft-2);document.body.removeChild(m)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,H,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_Display)?( MathJax_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.HTMLCSS={display:(p.root.Get("display")==="block")};C=u=this.Element("span",{className:"MathJax",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:l.Menu,onmousedown:l.Mousedown,onmouseover:l.Mouseover,onmouseout:l.Mouseout,onmousemove:l.Mousemove,onclick:l.Click,ondblclick:l.DblClick,onkeydown:l.Keydown,tabIndex:b.getTabOrder(p)});if(b.Browser.noContextMenu){C.ontouchstart=a.start;C.ontouchend=a.end}if(p.HTMLCSS.display){u=this.Element("div",{className:"MathJax_Display"});u.appendChild(C)}else{if(this.msieDisappearingBug){C.style.display="inline-block"}}u.className+=" MathJax_Processing";G.parentNode.insertBefore(u,G);p.HTMLCSS.span=C;p.HTMLCSS.div=u;E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.HTMLCSS.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;o=E.childNodes[2].offsetHeight/60;A=Math.max(0,p.HTMLCSS.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2);if(F===0||F==="NaN"){B.push(u);p.HTMLCSS.isHidden=true;F=this.defaultEx;o=this.defaultEm;A=this.defaultWidth}if(A===0&&!p.HTMLCSS.display){A=this.defaultWidth}if(t){v=A}H=(this.config.matchFontHeight?F/this.TeX.x_height/o:1);H=Math.floor(Math.max(this.config.minScaleAdjust/100,H)*this.config.scale);p.HTMLCSS.scale=H/100;p.HTMLCSS.fontSize=H+"%";p.HTMLCSS.em=p.HTMLCSS.outerEm=o;this.em=o*H/100;p.HTMLCSS.ex=F;p.HTMLCSS.cwidth=A/this.em;p.HTMLCSS.lineWidth=(q?this.length2em(x,1,v/this.em):1000000)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=r[D].MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.HTMLCSSeqn=s.HTMLCSSlast=0;s.HTMLCSSi=-1;s.HTMLCSSchunk=this.config.EqnChunk;s.HTMLCSSdelay=false},PHASE:{I:1,II:2,III:3},Translate:function(n,r){if(!n.parentNode){return}if(r.HTMLCSSdelay){r.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var m=n.MathJax.elementJax,q=m.root,s=m.HTMLCSS.div,o=m.HTMLCSS.span;if(!document.getElementById(o.id)){return}this.getMetrics(m);if(this.scale!==1){o.style.fontSize=m.HTMLCSS.fontSize}this.initImg(o);this.initHTML(q,o);this.savePreview(n);try{q.setTeXclass();q.toHTML(o,s,this.PHASE.I)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}this.restorePreview(n);throw p}this.restorePreview(n);s.className=s.className.split(/ /)[0]+" MathJax_Processed";b.signal.Post(["New Math Pending",m.inputID]);r.HTMLCSSeqn+=(r.i-r.HTMLCSSi);r.HTMLCSSi=r.i;if(r.HTMLCSSeqn>=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){var n=(v.MathJax.elementJax.HTMLCSS||{}).div;if(n){n.className=n.className.split(/ /)[0]}if(v.MathJax.preview){v.MathJax.preview.innerHTML=""}}}for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){p=v.MathJax.elementJax;this.getMetrics(p);if(p.HTMLCSS.span&&p.HTMLCSS.div){p.root.toHTML(p.HTMLCSS.span,p.HTMLCSS.div,this.PHASE.II)}}}for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){p=v.MathJax.elementJax;this.getMetrics(p);if(p.HTMLCSS.span&&p.HTMLCSS.div){p.root.toHTML(p.HTMLCSS.span,p.HTMLCSS.div,this.PHASE.III);if(p.HTMLCSS.isHidden){v.parentNode.insertBefore(p.HTMLCSS.div,v)}delete p.HTMLCSS.span;delete p.HTMLCSS.div;v.MathJax.state=p.STATE.PROCESSED;b.signal.Post(["New Math",v.MathJax.elementJax.inputID])}}}if(this.forceReflow){var t=(document.styleSheets||[])[0]||{};t.disabled=true;t.disabled=false}o.HTMLCSSlast=o.HTMLCSSeqn},getJaxFromMath:function(m){if(m.parentNode.className.match(/MathJax_Display/)){m=m.parentNode}do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return b.getJaxFor(m)},getHoverSpan:function(m,n){return m.root.HTMLspanElement()},getHoverBBox:function(m,p,q){var r=p.bbox,o=m.HTMLCSS.outerEm;var n={w:r.w*o,h:r.h*o,d:r.d*o};if(r.width){n.width=r.width}return n},Zoom:function(n,y,x,m,v){y.className="MathJax";y.style.fontSize=n.HTMLCSS.fontSize;var B=y.appendChild(this.TestSpan.cloneNode(true));var q=B.childNodes[2].offsetHeight/60;this.em=i.mbase.prototype.em=q;this.outerEm=q/n.HTMLCSS.scale;B.parentNode.removeChild(B);this.scale=n.HTMLCSS.scale;this.linebreakWidth=n.HTMLCSS.lineWidth;this.cwidth=n.HTMLCSS.cwidth;this.zoomScale=parseInt(b.config.menuSettings.zscale)/100;this.idPostfix="-zoom";n.root.toHTML(y,y);this.idPostfix="";this.zoomScale=1;var z=n.root.HTMLspanElement().bbox,p=z.width;if(p){if(z.tw){m=z.tw*q}if(z.w*q<m){m=z.w*q}y.style.width=Math.floor(m-1.5*d.em)+"px";y.style.display="inline-block";var o=(n.root.id||"MathJax-Span-"+n.root.spanID)+"-zoom";var r=document.getElementById(o).firstChild;while(r&&r.style.width!==p){r=r.nextSibling}if(r){var u=r.offsetWidth;r.style.width="100%";if(u>m){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s<p;s++){v=q[s];if(!v){continue}w=v.bbox;u=this.parentNode(v);if(w.exactW||w.width||w.w===0||w.isMultiline||(this.config.noReflows&&w.exactW!==false)){if(!u.bbox){u.bbox=w}continue}if(this.negativeBBoxes||!v.firstChild||(w.w>=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s<p;s++){v=t[s][0];w=v.bbox;u=this.parentNode(v);if((w.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s<p;s++){v=t[s];if(v[1]){v[1].parentNode.removeChild(v[1]),v[0].style.position=v[3]}if(v[2]){v[2].parentNode.removeChild(v[2])}}},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},EmRounded:function(n){if(Math.abs(n)<0.0006){return"0em"}n=(Math.round(n*d.em)+0.05)/d.em;return n.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(n){return parseFloat(n)},Px:function(n){n*=this.em;var o=(n<0?"-":"");return o+Math.abs(n).toFixed(1).replace(/\.?0+$/,"")+"px"},unPx:function(n){return parseFloat(n)/this.em},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(t,o,r){if(typeof(t)!=="string"){t=t.toString()}if(t===""){return""}if(t===i.SIZE.NORMAL){return 1}if(t===i.SIZE.BIG){return 2}if(t===i.SIZE.SMALL){return 0.71}if(t==="infinity"){return d.BIGDIMEN}var q=this.FONTDATA.TeX_factor,u=(d.zoomScale||1)/d.em;if(t.match(/mathspace$/)){return d.MATHSPACE[t]*q}var p=t.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1"),s=p[2];if(r==null){r=1}if(o==null){o=1}if(s==="em"){return n*q}if(s==="ex"){return n*d.TeX.x_height*q}if(s==="%"){return n/100*r}if(s==="px"){return n*u}if(s==="pt"){return n/10*q}if(s==="pc"){return n*1.2*q}if(s==="in"){return n*this.pxPerInch*u}if(s==="cm"){return n*this.pxPerInch*u/2.54}if(s==="mm"){return n*this.pxPerInch*u/25.4}if(s==="mu"){return n/18*q*o}return n*r},thickness2em:function(n,m){var o=d.TeX.rule_thickness;if(n===i.LINETHICKNESS.MEDIUM){return o}if(n===i.LINETHICKNESS.THIN){return 0.67*o}if(n===i.LINETHICKNESS.THICK){return 1.67*o}return this.length2em(n,m,o)},border2em:function(n,m){if(n===i.LINETHICKNESS.THIN){n="1px"}if(n===i.LINETHICKNESS.MEDIUM){n="3px"}if(n===i.LINETHICKNESS.THICK){n="5px"}return this.length2em(n,m)},getPadding:function(n){var p={top:0,right:0,bottom:0,left:0},m=false;for(var q in p){if(p.hasOwnProperty(q)){var o=n.style["padding"+q.charAt(0).toUpperCase()+q.substr(1)];if(o){p[q]=this.length2em(o);m=true}}}return(m?p:false)},getBorders:function(r){var o={top:0,right:0,bottom:0,left:0},p={},n=false;for(var s in o){if(o.hasOwnProperty(s)){var m="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r.style[m+"Style"];if(q){n=true;o[s]=this.border2em(r.style[m+"Width"]||i.LINETHICKNESS.MEDIUM);p[m]=[r.style[m+"Width"],r.style[m+"Style"],r.style[m+"Color"]].join(" ")}}}o.css=p;return(n?o:false)},setBorders:function(m,n){if(n){for(var o in n.css){if(n.css.hasOwnProperty(o)){m.style[o]=n.css[o]}}}},createStrut:function(o,n,p){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:n+"px",width:"1px",marginRight:"-1px"}});if(p){o.insertBefore(m,o.firstChild)}else{o.appendChild(m)}return m},createBlank:function(n,m,o){var p=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(m)}});if(m<0){p.style.marginRight=p.style.width;p.style.width=0}if(o){n.insertBefore(p,n.firstChild)}else{n.appendChild(p)}return p},createShift:function(n,m,p){var o=this.Element("span",{style:{marginLeft:this.Em(m)},isMathJax:true});if(p){n.insertBefore(o,n.firstChild)}else{n.appendChild(o)}return o},createSpace:function(r,p,q,s,o,u){if(p<-q){q=-p}var t=this.Em(p+q),m=this.Em(-q);if(this.msieInlineBlockAlignBug){m=this.Em(d.getHD(r.parentNode,true).d-q)}if(r.isBox||u){var n=(r.scale==null?1:r.scale);r.bbox={exactW:true,h:p*n,d:q*n,w:s*n,rw:s*n,lw:0};r.style.height=t;r.style.verticalAlign=m;r.HH=(p+q)*n}else{r=this.addElement(r,"span",{style:{height:t,verticalAlign:m},isMathJax:true})}if(s>=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em<o){u=o/this.em}if(p+r>0&&(p+r)*this.em<o){q=1/(p+r)*(o/this.em);p*=q;r*=q}if(!n){n="solid"}else{n="solid "+n}var m={display:"inline-block",overflow:"hidden",verticalAlign:this.Em(-r)};if(u>p+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(x<r){x=r}if(s+u<r){s=r-u}}if(this.msieBorderWidthBug){r=0}var y=this.Em(s+u-r),m=this.Em(-u-z),q=this.Em(x-r);var o=this.Px(z)+" "+n;var p=this.addElement(v,"span",{style:{border:o,display:"inline-block",overflow:"hidden",width:q,height:y},bbox:{h:s,d:u,w:x,rw:x,lw:0,exactW:true},noAdjust:true,HH:s+u,isMathJax:true});if(m){p.style.verticalAlign=m}return p},parentNode:function(n){var m=n.parentNode;if(m.nodeName.toLowerCase()==="a"){m=m.parentNode}return m},createStack:function(o,q,n){if(this.msiePaddingWidthBug){this.createStrut(o,0)}var p=String(n).match(/%$/);var m=(!p&&n!=null?n:0);o=this.addElement(o,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(p?"100%":this.Em(m)),height:0}});if(!q){o.parentNode.bbox=o.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:m,lw:this.BIGDIMEN,rw:(!p&&n!=null?n:-this.BIGDIMEN)};if(p){o.bbox.width=n}}return o},createBox:function(n,m){var o=this.addElement(n,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(m!=null){o.style.width=m}return o},addBox:function(m,n){n.style.position="absolute";n.isBox=n.isMathJax=true;return m.appendChild(n)},placeBox:function(w,v,u,q){w.isMathJax=true;var z=d.parentNode(w),F=w.bbox,B=z.bbox;if(this.msiePlaceBoxBug){this.addText(w,this.NBSP)}if(this.imgSpaceBug){this.addText(w,this.imgSpace)}var A,I=0;if(w.HH!=null){A=w.HH}else{if(F){var o=w.firstChild;A=Math.max(3,3*(o?o.scale||1:1),F.h+F.d)}else{A=w.offsetHeight/this.em}}if(!w.noAdjust){A+=1;A=Math.round(A*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(w,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(A)}})}else{this.addElement(w,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(A)}});if(d.chromeHeightBug){A-=(w.lastChild.offsetHeight-Math.round(A*this.em))/this.em}}}if(F){if(this.initialSkipBug){if(F.lw<0){I=F.lw;d.createBlank(w,-I,true)}if(F.rw>F.w){d.createBlank(w,F.rw-F.w+0.1)}}if(!this.msieClipRectBug&&!F.noclip&&!q){var E=3/this.em;var C=(F.H==null?F.h:F.H),n=(F.D==null?F.d:F.D);var G=A-C-E,s=A+n+E,p=-1000,m=F.rw+1000;w.style.clip="rect("+this.Em(G)+" "+this.Em(m)+" "+this.Em(s)+" "+this.Em(p)+")"}}w.style.top=this.Em(-u-A);w.style.left=this.Em(v+I);if(F&&B){if(F.H!=null&&(B.H==null||F.H+u>B.H)){B.H=F.H+u}if(F.D!=null&&(B.D==null||F.D-u>B.D)){B.D=F.D-u}if(F.h+u>B.h){B.h=F.h+u}if(F.d-u>B.d){B.d=F.d-u}if(B.H!=null&&B.H<=B.h){delete B.H}if(B.D!=null&&B.D<=B.d){delete B.D}if(F.w+v>B.w){B.w=F.w+v;if(B.width==null){z.style.width=this.Em(B.w)}}if(F.rw+v>B.rw){B.rw=F.rw+v}if(F.lw+v<B.lw){B.lw=F.lw+v}if(F.width!=null&&!F.isFixed){if(B.width==null){z.style.width=B.width="100%";if(F.minWidth){z.style.minWidth=B.minWidth=F.minWidth}}w.style.width=F.width}if(F.tw){B.tw=F.tw}}},alignBox:function(t,p,s,x,w){if(x==null){x=0}this.placeBox(t,x,s);if(this.msiePlaceBoxBug){var n=t.lastChild;while(n&&n.nodeName!=="#text"){n=n.previousSibling}if(n){t.removeChild(n)}}var v=t.bbox;if(v.isMultiline&&!w){return}var u=v.width!=null&&!v.isFixed;var m=0,q=x-v.w/2,o="50%";if(this.initialSkipBug){m=v.w-v.rw-0.1;q+=v.lw}if(this.msieMarginScaleBug){q=(q*this.em)+"px"}else{q=this.Em(q)}if(u){q=(x===0?"":this.Em(x));o=(50-parseFloat(v.width)/2)+"%"}b.Insert(t.style,({right:{left:"",right:this.Em(m-x)},center:{left:o,marginLeft:q}})[p])},setStackWidth:function(n,m){if(typeof(m)==="number"){n.style.width=this.Em(Math.max(0,m));var o=n.bbox;if(o){o.w=m;o.exactW=true}o=n.parentNode.bbox;if(o){o.w=m;o.exactW=true}}else{n.style.width=n.parentNode.style.width="100%";if(n.bbox){n.bbox.width=m}if(n.parentNode.bbox){n.parentNode.bbox.width=m}}},createDelimiter:function(w,n,p,s,q){if(!n){w.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};w.bbox.rw=w.bbox.w;this.createSpace(w,w.bbox.h,w.bbox.d,w.bbox.w);return}if(!s){s=1}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){b.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var u=0,r=o.HW.length;u<r;u++){if(o.HW[u][0]*s>=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&u<C*F.min){u=C*F.min}if(u>C){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&p<v*F.min){p=v*F.min}if(p>v){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}u-=D.bbox.lw;this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s<o;s++){v+=String.fromCharCode(r[0][s])}}else{v=String.fromCharCode(r[0])}if(r[4]){p*=r[4]}if(p!==1||r[3]){t=this.addElement(u,"span",{style:{fontSize:this.Percent(p)},scale:p,isMathJax:true});this.handleVariant(t,q,v);u.bbox=t.bbox}else{this.handleVariant(u,q,v)}if(r[2]){u.style.marginLeft=this.Em(r[2])}if(r[3]){u.firstChild.style.verticalAlign=this.Em(r[3]);u.bbox.h+=r[3];if(u.bbox.h<0){u.bbox.h=0}}if(r[5]){u.bbox.h+=r[5]}if(r[6]){u.bbox.d+=r[6]}if(this.AccentBug&&u.bbox.w===0){t.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(n,m){m-=n.bbox.h;n.bbox.d-=m;n.bbox.h+=m;if(m){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&n.isMultiChar)){if(n.firstChild.style.display===""&&n.style.top!==""){n=n.firstChild;m-=d.unEm(n.style.top)}n.style.position="relative";n.style.top=this.Em(-m)}else{n.style.verticalAlign=this.Em(m);if(d.ffVerticalAlignBug){d.createRule(n.parentNode,n.bbox.h,0,0);delete n.parentNode.bbox}}}},handleVariant:function(B,q,t){var A="",y,D,u,E,o=B,p=!!B.style.fontFamily;if(t.length===0){return}if(!B.bbox){B.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!q){q=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}E=q;for(var C=0,z=t.length;C<z;C++){q=E;y=t.charCodeAt(C);D=t.charAt(C);if(y>=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v<s;v++){if(w[v].name==="alpha"&&q.noLowerCase){continue}var r=q["offset"+w[v].offset];if(r&&y>=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{if(w[v].remapOnly){break}y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000<B.bbox.lw){B.bbox.lw=B.bbox.w+D[3]/1000}if(B.bbox.w+D[4]/1000>B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(d.isChar(t)&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(((m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)||(this.FontFaceBug&&n.fontFamily!=="")))},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||(!this.msieAccentBug&&!this.combiningCharBug)||s.length){return s+r.c}if(this.combiningCharBug){d.addElement(o,"span",{style:{marginLeft:d.Em(u[3]/1000)}},[r.c]);return""}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]]);t[s[q]].name=s[q]}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){if(p[u].length===5){p[u][5]={}}if(d.allowWebFonts&&!p.available){this.loadWebFont(p)}else{return p}}else{this.findBlock(p,u)}}return this.unknownChar(r,u)},unknownChar:function(m,p){var o=(m.defaultFont||{family:d.config.undefinedFamily});if(m.bold){o.weight="bold"}if(m.italic){o.style="italic"}if(!o[p]){o[p]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",p,m]);return o},isChar:function(m){if(m.length===1){return true}if(m.length!==2){return false}var o=m.charCodeAt(0);return(o>=55296&&o<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);j.Require(this.directory+"/imageFonts.js",m)}else{this.allowWebFonts=false;m()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.type!="mrow"){q=this.HTMLhandleSize(q)}for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q)}}var u=this.HTMLcomputeBBox(q);var p=q.bbox.h,t=q.bbox.d,r=false,s;for(o=0,n=u.length;o<n;o++){s=u[o].HTMLspanElement().bbox;if(u[o].forceStretch||s.h!==p||s.d!==t){u[o].HTMLstretchV(q,p,t);r=true}else{if(u[o].needsBBox){r=true}}}if(r){this.HTMLcomputeBBox(q,true)}if(this.HTMLlineBreaks(q)){q=this.HTMLmultiline(q)}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);if(this.data.length===1&&this.data[0]){s=this.data[0].HTMLspanElement().bbox;if(s.skew){q.bbox.skew=s.skew}}return q},HTMLlineBreaks:function(){return false},HTMLmultiline:function(){i.mbase.HTMLautoloadFile("multiline")},HTMLcomputeBBox:function(s,r,q,n){if(q==null){q=0}if(n==null){n=this.data.length}var p=s.bbox={exactW:true},t=[];while(q<n){var o=this.data[q];if(!o){continue}if(!r&&o.HTMLcanStretch("Vertical")){t.push(o);o=(o.CoreMO()||o);t[t.length-1].needsBBox=(o!==this.data[q])}this.HTMLcombineBBoxes(o,p);q++}this.HTMLcleanBBox(p);return t},HTMLcombineBBoxes:function(m,n){if(n.w==null){this.HTMLemptyBBox(n)}var p=(m.bbox?m:m.HTMLspanElement());if(!p||!p.bbox){return}var o=p.bbox;if(o.d>n.d){n.d=o.d}if(o.h>n.h){n.h=o.h}if(o.D!=null&&o.D>n.D){n.D=o.D}if(o.H!=null&&o.H>n.H){n.H=o.H}if(p.style.paddingLeft){n.w+=d.unEm(p.style.paddingLeft)*(p.scale||1)}if(n.w+o.lw<n.lw){n.lw=n.w+o.lw}if(n.w+o.rw>n.rw){n.rw=n.w+o.rw}n.w+=o.w;if(p.style.paddingRight){n.w+=d.unEm(p.style.paddingRight)*(p.scale||1)}if(o.width){n.width=o.width;n.minWidth=o.minWidth}if(o.tw){n.tw=o.tw}if(o.ic){n.ic=o.ic}else{delete n.ic}if(n.exactW&&!o.exactW){n.exactW=o.exactW}},HTMLemptyBBox:function(m){m.h=m.d=m.H=m.D=m.rw=-d.BIGDIMEN;m.w=0;m.lw=d.BIGDIMEN;return m},HTMLcleanBBox:function(m){if(m.h===this.BIGDIMEN){m.h=m.d=m.H=m.D=m.w=m.rw=m.lw=0}if(m.D<=m.d){delete m.D}if(m.H<=m.h){delete m.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(n){if(this.isEmbellished()){var m=this.Core();if(m&&m!==this){return m.HTMLcanStretch(n)}}return false},HTMLstretchH:function(n,m){return this.HTMLspanElement()},HTMLstretchV:function(n,m,o){return this.HTMLspanElement()},HTMLnotEmpty:function(m){while(m){if((m.type!=="mrow"&&m.type!=="texatom")||m.data.length>1){return true}m=m.data[0]}return false},HTMLmeasureChild:function(o,m){if(this.data[o]){d.Measured(this.data[o].toHTML(m),m)}else{m.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(o,m){if(!this.data[o]){this.SetData(o,i.mrow())}return this.data[o].toHTML(m)},HTMLcreateSpan:function(m){if(this.spanID){var n=this.HTMLspanElement();if(n&&(n.parentNode===m||(n.parentNode||{}).parentNode===m)){while(n.firstChild){n.removeChild(n.firstChild)}n.bbox=this.HTMLzeroBBox();n.scale=1;n.isMultChar=n.HH=null;n.style.cssText="";return n}}if(this.href){m=d.addElement(m,"a",{href:this.href,isMathJax:true})}m=d.addElement(m,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){m.style.display="inline-block"}if(this["class"]){m.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}m.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;m.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){m.style.cssText=this.style;if(m.style.fontSize){this.mathsize=m.style.fontSize;m.style.fontSize=""}this.styles={border:d.getBorders(m),padding:d.getPadding(m)};if(this.styles.border){m.style.border=""}if(this.styles.padding){m.style.padding=""}}if(this.href){m.parentNode.bbox=m.bbox}this.HTMLaddAttributes(m);return m},HTMLaddAttributes:function(p){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=b.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var o=0,n=u.length;o<n;o++){var s=u[o];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(p[s])==="undefined")){p.setAttribute(s,this.attr[s])}}}},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+d.idPostfix)},HTMLhandleVariant:function(n,m,o){d.handleVariant(n,m,o)},HTMLhandleSize:function(m){if(!m.scale){m.scale=this.HTMLgetScale();if(m.scale!==1){m.style.fontSize=d.Percent(m.scale)}}return m},HTMLhandleDir:function(n){var m=this.Get("dir",true);if(m){n.dir=m}return n},HTMLhandleColor:function(y){var A=this.getValues("mathcolor","color");if(this.mathbackground){A.mathbackground=this.mathbackground}if(this.background){A.background=this.background}if(this.style&&y.style.backgroundColor){A.mathbackground=y.style.backgroundColor;y.style.backgroundColor="transparent"}var v=(this.styles||{}).border,x=(this.styles||{}).padding;if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.background&&!this.mathbackground){A.mathbackground=A.background}if(A.mathcolor){y.style.color=A.mathcolor}if((A.mathbackground&&A.mathbackground!==i.COLOR.TRANSPARENT)||v||x){var C=y.bbox,B=(C.exact?0:1/d.em),w=0,u=0,o=y.style.paddingLeft,s=y.style.paddingRight;if(this.isToken){w=C.lw;u=C.rw-C.w}if(o!==""){w+=d.unEm(o)*(y.scale||1)}if(s!==""){u-=d.unEm(s)*(y.scale||1)}var n=(d.PaddingWidthBug||C.keepPadding||C.exactW?0:u-w);var q=Math.max(0,d.getW(y)+n);var z=C.h+C.d,m=-C.d,t=0,r=0;if(q>0){q+=2*B;w-=B}if(z>0){z+=2*B;m-=B}u=-q-w;if(v){u-=v.right;m-=v.bottom;t+=v.left;r+=v.right;C.h+=v.top;C.d+=v.bottom;C.w+=v.left+v.right;C.lw-=v.left;C.rw+=v.right}if(x){z+=x.top+x.bottom;q+=x.left+x.right;u-=x.right;m-=x.bottom;t+=x.left;r+=x.right;C.h+=x.top;C.d+=x.bottom;C.w+=x.left+x.right;C.lw-=x.left;C.rw+=x.right}if(r){y.style.paddingRight=d.Em(r)}var p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var m=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(m){m.parentNode.removeChild(m)}},HTMLhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var o=this.getValues("scriptlevel","lspace","rspace");if(o.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var n=this.HTMLgetMu(q);o.lspace=Math.max(0,d.length2em(o.lspace,n));o.rspace=Math.max(0,d.length2em(o.rspace,n));var m=this,p=this.Parent();while(p&&p.isEmbellished()&&p.Core()===m){m=p;p=p.Parent();q=m.HTMLspanElement()}if(o.lspace){q.style.paddingLeft=d.Em(o.lspace)}if(o.rspace){q.style.paddingRight=d.Em(o.rspace)}}}else{var r=this.texSpacing();if(r!==""){this.HTMLgetScale();r=d.length2em(r,this.scale)/(q.scale||1)*this.mscale;if(q.style.paddingLeft){r+=d.unEm(q.style.paddingLeft)}q.style.paddingLeft=d.Em(r)}}},HTMLgetScale:function(){if(this.scale){return this.scale*this.mscale}var o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o<m.scriptminsize){o=m.scriptminsize}}this.scale=o;this.mscale=d.length2em(m.mathsize);return o*this.mscale},HTMLgetMu:function(o){var m=1,n=this.getValues("scriptlevel","scriptsizemultiplier");if(o.scale&&o.scale!==1){m=1/o.scale}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n in d.FONTDATA.VARIANT)){n="normal"}return d.FONTDATA.VARIANT[n]},HTMLdrawBBox:function(m){var o=m.bbox;var n=d.Element("span",{style:{"font-size":m.style.fontSize,display:"inline-block",opacity:0.25,"margin-left":d.Em(-o.w)}},[["span",{style:{height:d.Em(o.h),width:d.Em(o.w),"background-color":"red",display:"inline-block"}}],["span",{style:{height:d.Em(o.d),width:d.Em(o.w),"margin-left":d.Em(-o.w),"vertical-align":d.Em(-o.d),"background-color":"green",display:"inline-block"}}]]);if(m.nextSibling){m.parentNode.insertBefore(n,m.nextSibling)}else{m.parentNode.appendChild(n)}}},{HTMLautoload:function(){this.constructor.Augment({toHTML:i.mbase.HTMLautoloadFail});var m=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(j.Require(m))},HTMLautoloadFail:function(){throw Error("HTML-CSS can't autoload '"+this.type+"'")},HTMLautoloadList:{},HTMLautoloadFile:function(m){if(i.mbase.HTMLautoloadList.hasOwnProperty(m)){throw Error("HTML-CSS can't autoload file '"+m+"'")}i.mbase.HTMLautoloadList[m]=true;var n=d.autoloadDir+"/"+m+".js";b.RestartAfter(j.Require(n))},HTMLstretchH:function(n,m){this.HTMLremoveColor();return this.toHTML(n,m)},HTMLstretchV:function(n,m,o){this.HTMLremoveColor();return this.toHTML(n,m,o)}});i.chars.Augment({toHTML:function(p,o,n,q){var t=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}p.bbox=null;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.entity.Augment({toHTML:function(p,o,n,q){var t=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}delete p.bbox;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.mi.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));q.bbox=null;var p=this.HTMLgetVariant();for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q,p)}}if(!q.bbox){q.bbox=this.HTMLzeroBBox()}var s=this.data.join(""),r=q.bbox;if(r.skew&&!d.isChar(s)){delete r.skew}if(r.rw>r.w&&d.isChar(s)&&!p.noIC){r.ic=r.rw-r.w;d.createBlank(q,r.ic/this.mscale);r.w=r.rw}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.mn.Augment({HTMLremapMinus:function(m){return m.replace(/^-/,"\u2212")},toHTML:function(r){r=this.HTMLhandleSize(this.HTMLcreateSpan(r));r.bbox=null;var q=this.HTMLgetVariant();var p=this.HTMLremapMinus;for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(r,q,p);p=null}}if(!r.bbox){r.bbox=this.HTMLzeroBBox()}if(!d.isChar(this.data.join(""))){delete r.bbox.skew}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);this.HTMLhandleDir(r);return r}});i.mo.Augment({toHTML:function(x){x=this.HTMLhandleSize(this.HTMLcreateSpan(x));if(this.data.length==0){return x}else{x.bbox=null}var A=this.data.join("");var s=this.HTMLgetVariant();var z=this.getValues("largeop","displaystyle");if(z.largeop){s=d.FONTDATA.VARIANT[z.displaystyle?"-largeOp":"-smallOp"]}var y=this.CoreParent(),r=(y&&y.isa(i.msubsup)&&this!==y.data[y.base]),o=(r?this.remapChars:null);if(d.isChar(A)&&y&&y.isa(i.munderover)&&d.isChar(this.CoreText(y.data[y.base]))){var u=y.data[y.over],w=y.data[y.under];if(u&&this===u.CoreMO()&&y.Get("accent")){o=d.FONTDATA.REMAPACCENT}else{if(w&&this===w.CoreMO()&&y.Get("accentunder")){o=d.FONTDATA.REMAPACCENTUNDER}}}if(r&&A.match(/['`"\u00B4\u2032-\u2037\u2057]/)){s=d.FONTDATA.VARIANT["-"+d.fontInUse+"-variant"]}for(var t=0,q=this.data.length;t<q;t++){if(this.data[t]){this.data[t].toHTML(x,s,this.remap,o)}}if(!x.bbox){x.bbox=this.HTMLzeroBBox()}if(!d.isChar(A)){delete x.bbox.skew}if(d.AccentBug&&x.bbox.w===0&&d.isChar(A)&&x.firstChild){x.firstChild.nodeValue+=d.NBSP;d.createSpace(x,0,0,-x.offsetWidth/d.em)}if(z.largeop){var v=d.TeX.axis_height*this.scale*this.mscale;var n=(x.bbox.h-x.bbox.d)/2-v;if(d.safariVerticalAlignBug&&x.lastChild.nodeName==="IMG"){x.lastChild.style.verticalAlign=d.Em(d.unEm(x.lastChild.style.verticalAlign||0)/d.em-n/x.scale)}else{if(d.konquerorVerticalAlignBug&&x.lastChild.nodeName==="IMG"){x.style.position="relative";x.lastChild.style.position="relative";x.lastChild.style.top=d.Em(n/x.scale)}else{x.style.verticalAlign=d.Em(-n/x.scale)}}x.bbox.h-=n;x.bbox.d+=n;if(x.bbox.rw>x.bbox.w){x.bbox.ic=x.bbox.rw-x.bbox.w;d.createBlank(x,x.bbox.ic/this.mscale);x.bbox.w=x.bbox.rw}}this.HTMLhandleSpace(x);this.HTMLhandleColor(x);this.HTMLhandleDir(x);return x},HTMLcanStretch:function(q){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&d.isChar(this.CoreText(o.data[o.base]))){var p=o.data[o.over],n=o.data[o.under];if(p&&this===p.CoreMO()&&o.Get("accent")){r=d.FONTDATA.REMAPACCENT[r]||r}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=d.FONTDATA.REMAPACCENTUNDER[r]||r}}}r=d.FONTDATA.DELIMITERS[r.charCodeAt(0)];var m=(r&&r.dir===q.substr(0,1));this.forceStretch=(m&&(this.Get("minsize",true)||this.Get("maxsize",true)));return m},HTMLstretchV:function(o,p,q){this.HTMLremoveColor();var t=this.getValues("symmetric","maxsize","minsize");var r=this.HTMLspanElement(),u=this.HTMLgetMu(r),s;var n=this.HTMLgetScale(),m=d.TeX.axis_height*n;if(t.symmetric){s=2*Math.max(p-m,q+m)}else{s=p+q}t.maxsize=d.length2em(t.maxsize,u,r.bbox.h+r.bbox.d);t.minsize=d.length2em(t.minsize,u,r.bbox.h+r.bbox.d);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!=t.minsize){s=[Math.max(s*d.TeX.delimiterfactor/1000,s-d.TeX.delimitershortfall),s]}r=this.HTMLcreateSpan(o);d.createDelimiter(r,this.data.join("").charCodeAt(0),s,n);if(t.symmetric){s=(r.bbox.h+r.bbox.d)/2+m}else{s=(r.bbox.h+r.bbox.d)*p/(p+q)}d.positionDelimiter(r,s);this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLstretchH:function(q,m){this.HTMLremoveColor();var o=this.getValues("maxsize","minsize","mathvariant","fontweight");if((o.fontweight==="bold"||parseInt(o.fontweight)>=600)&&!this.Get("mathvariant",true)){o.mathvariant=i.VARIANT.BOLD}var p=this.HTMLspanElement(),n=this.HTMLgetMu(p),r=p.scale;o.maxsize=d.length2em(o.maxsize,n,p.bbox.w);o.minsize=d.length2em(o.minsize,n,p.bbox.w);m=Math.max(o.minsize,Math.min(o.maxsize,m));p=this.HTMLcreateSpan(q);d.createDelimiter(p,this.data.join("").charCodeAt(0),m,r,o.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});i.mtext.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));var p=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){var r=this.Get("mathvariant");if(r==="monospace"){q.className+=" MJX-monospace"}else{if(r.match(/sans-serif/)){q.className+=" MJX-sans-serif"}}p={bold:p.bold,italic:p.italic,fontInherit:true}}for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q,p)}}if(!q.bbox){q.bbox=this.HTMLzeroBBox()}if(!d.isChar(this.data.join(""))){delete q.bbox.skew}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.merror.Augment({toHTML:function(n){var p=MathJax.HTML.addElement(n,"span",{style:{display:"inline-block"}});n=this.SUPER(arguments).toHTML.call(this,p);var o=d.getHD(p),m=d.getW(p);p.bbox={h:o.h,d:o.d,w:m,lw:0,rw:m,exactW:true};p.id=n.id;n.id=null;return p}});i.ms.Augment({toHTML:i.mbase.HTMLautoload});i.mglyph.Augment({toHTML:i.mbase.HTMLautoload});i.mspace.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);var o=this.getValues("height","depth","width");var n=this.HTMLgetMu(q);this.HTMLgetScale();o.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){o.mathbackground=this.background}var p=d.length2em(o.height,n)*this.mscale,r=d.length2em(o.depth,n)*this.mscale,m=d.length2em(o.width,n)*this.mscale;d.createSpace(q,p,r,m,o.mathbackground,true);return q}});i.mphantom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){var r=this.data[0].toHTML(q);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(q,o,s),q)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(q,o),q)}else{r=d.Measured(r,q)}}q.bbox={w:r.bbox.w,h:r.bbox.h,d:r.bbox.d,lw:0,rw:0,exactW:true};for(var p=0,n=q.childNodes.length;p<n;p++){q.childNodes[p].style.visibility="hidden"}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mpadded.Augment({toHTML:function(u,o,m){u=this.HTMLcreateSpan(u);if(this.data[0]!=null){var s=d.createStack(u,true);var p=d.createBox(s);var n=this.data[0].toHTML(p);if(m!=null){d.Remeasured(this.data[0].HTMLstretchV(p,o,m),p)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(p,o),p)}else{d.Measured(n,p)}}var v=this.getValues("height","depth","width","lspace","voffset"),t=0,r=0,w=this.HTMLgetMu(u);this.HTMLgetScale();if(v.lspace){t=this.HTMLlength2em(p,v.lspace,w)}if(v.voffset){r=this.HTMLlength2em(p,v.voffset,w)}d.placeBox(p,t,r);t/=this.mscale;r/=this.mscale;u.bbox={h:p.bbox.h,d:p.bbox.d,w:p.bbox.w,exactW:true,lw:p.bbox.lw+t,rw:p.bbox.rw+t,H:Math.max((p.bbox.H==null?-d.BIGDIMEN:p.bbox.H+r),p.bbox.h+r),D:Math.max((p.bbox.D==null?-d.BIGDIMEN:p.bbox.D-r),p.bbox.d-r)};if(v.height!==""){u.bbox.h=this.HTMLlength2em(p,v.height,w,"h",0)}if(v.depth!==""){u.bbox.d=this.HTMLlength2em(p,v.depth,w,"d",0)}if(v.width!==""){u.bbox.w=this.HTMLlength2em(p,v.width,w,"w",0)}if(u.bbox.H<=u.bbox.h){delete u.bbox.H}if(u.bbox.D<=u.bbox.d){delete u.bbox.D}var q=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;u.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||q.exec(v.height)||q.exec(v.width)||q.exec(v.depth));d.setStackWidth(s,u.bbox.w)}this.HTMLhandleSpace(u);this.HTMLhandleColor(u);return u},HTMLlength2em:function(s,t,o,u,n){if(n==null){n=-d.BIGDIMEN}var q=String(t).match(/width|height|depth/);var r=(q?s.bbox[q[0].charAt(0)]:(u?s.bbox[u]:0));var p=d.length2em(t,o,r/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,s.bbox[u]+p)}else{return p}},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mrow.Augment({HTMLlineBreaks:function(m){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&m.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(o,m){this.HTMLremoveColor();var n=this.HTMLspanElement();this.data[this.core].HTMLstretchH(n,m);this.HTMLcomputeBBox(n,true);this.HTMLhandleColor(n);return n},HTMLstretchV:function(o,n,p){this.HTMLremoveColor();var m=this.HTMLspanElement();this.data[this.core].HTMLstretchV(m,n,p);this.HTMLcomputeBBox(m,true);this.HTMLhandleColor(m);return m}});i.mstyle.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mfrac.Augment({toHTML:function(F){F=this.HTMLcreateSpan(F);var o=d.createStack(F);var w=d.createBox(o),s=d.createBox(o);d.MeasureSpans([this.HTMLboxChild(0,w),this.HTMLboxChild(1,s)]);var m=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var K=this.HTMLgetScale(),E=m.displaystyle;var J=d.TeX.axis_height*K;if(m.bevelled){var I=(E?0.4:0.15);var x=Math.max(w.bbox.h+w.bbox.d,s.bbox.h+s.bbox.d)+2*I;var G=d.createBox(o);d.createDelimiter(G,47,x);d.placeBox(w,0,(w.bbox.d-w.bbox.h)/2+J+I);d.placeBox(G,w.bbox.w-I/2,(G.bbox.d-G.bbox.h)/2+J);d.placeBox(s,w.bbox.w+G.bbox.w-I,(s.bbox.d-s.bbox.h)/2+J-I)}else{var n=Math.max(w.bbox.w,s.bbox.w);var A=d.thickness2em(m.linethickness,this.scale)*this.mscale,C,B,z,y;var D=d.TeX.min_rule_thickness/this.em;if(E){z=d.TeX.num1;y=d.TeX.denom1}else{z=(A===0?d.TeX.num3:d.TeX.num2);y=d.TeX.denom2}z*=K;y*=K;if(A===0){C=Math.max((E?7:3)*d.TeX.rule_thickness,2*D);B=(z-w.bbox.d)-(s.bbox.h-y);if(B<C){z+=(C-B)/2;y+=(C-B)/2}}else{C=Math.max((E?2:0)*D+A,A/2+1.5*D);B=(z-w.bbox.d)-(J+A/2);if(B<C){z+=C-B}B=(J-A/2)-(s.bbox.h-y);if(B<C){y+=C-B}var r=d.createBox(o);d.createRule(r,A,0,n+2*A);d.placeBox(r,0,J-A/2)}d.alignBox(w,m.numalign,z,0,true);d.alignBox(s,m.denomalign,-y,0,true)}this.HTMLhandleSpace(F);this.HTMLhandleColor(F);return F},HTMLcanStretch:function(m){return false},HTMLhandleSpace:function(n){if(!this.texWithDelims){var o=d.TeX.nulldelimiterspace*this.mscale;var m=n.childNodes[d.msiePaddingWidthBug?1:0].style;m.marginLeft=m.marginRight=d.Em(o);n.bbox.w+=2*o;n.bbox.rw+=2*o}this.SUPER(arguments).HTMLhandleSpace.call(this,n)}});i.msqrt.Augment({toHTML:function(z){z=this.HTMLcreateSpan(z);var B=d.createStack(z);var r=d.createBox(B),w=d.createBox(B),v=d.createBox(B);var u=this.HTMLgetScale();var C=d.TeX.rule_thickness*u,o,n,A,s;if(this.Get("displaystyle")){o=d.TeX.x_height*u}else{o=C}n=Math.max(C+o/4,1.5*d.TeX.min_rule_thickness/this.em);var m=this.HTMLboxChild(0,r);A=m.bbox.h+m.bbox.d+n+C;d.createDelimiter(v,8730,A,u);d.MeasureSpans([m,v]);s=m.bbox.w;var y=0;if(v.isMultiChar||(d.AdjustSurd&&d.imgFonts)){v.bbox.w*=0.95}if(v.bbox.h+v.bbox.d>A){n=((v.bbox.h+v.bbox.d)-(A-C))/2}var D=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!D||s<(D.HW[0]||[0])[0]*u||u<0.75){d.createRule(w,0,C,s);w.bbox.h=-C}else{d.createDelimiter(w,d.FONTDATA.RULECHAR,s,u)}A=m.bbox.h+n+C;n=A*d.rfuzz;if(v.isMultiChar){n=d.rfuzz}y=this.HTMLaddRoot(B,v,y,v.bbox.h+v.bbox.d-A,u);d.placeBox(v,y,A-v.bbox.h);d.placeBox(w,y+v.bbox.w,A-w.bbox.h+n);d.placeBox(r,y+v.bbox.w,0);this.HTMLhandleSpace(z);this.HTMLhandleColor(z);return z},HTMLaddRoot:function(o,n,m,q,p){return m}});i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(u,n,s,q,m){var o=d.createBox(u);if(this.data[1]){var r=this.data[1].toHTML(o);r.style.paddingRight=r.style.paddingLeft="";d.Measured(r,o)}else{o.bbox=this.HTMLzeroBBox()}var p=this.HTMLrootHeight(n.bbox.h+n.bbox.d,m,o)-q;var t=Math.min(o.bbox.w,o.bbox.rw);s=Math.max(t,n.offset);d.placeBox(o,s-t,p);return s-n.offset},HTMLrootHeight:function(o,n,m){return 0.45*(o-0.9*n)+0.6*n+Math.max(0,m.bbox.d-0.075)}});i.mfenced.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.data.open){this.data.open.toHTML(q)}if(this.data[0]!=null){this.data[0].toHTML(q)}for(var o=1,n=this.data.length;o<n;o++){if(this.data[o]){if(this.data["sep"+o]){this.data["sep"+o].toHTML(q)}this.data[o].toHTML(q)}}if(this.data.close){this.data.close.toHTML(q)}var s=this.HTMLcomputeBBox(q);var p=q.bbox.h,r=q.bbox.d;for(o=0,n=s.length;o<n;o++){s[o].HTMLstretchV(q,p,r)}if(s.length){this.HTMLcomputeBBox(q,true)}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLcomputeBBox:function(r,q){var o=r.bbox={},s=[];this.HTMLcheckStretchy(this.data.open,o,s,q);this.HTMLcheckStretchy(this.data[0],o,s,q);for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){this.HTMLcheckStretchy(this.data["sep"+p],o,s,q);this.HTMLcheckStretchy(this.data[p],o,s,q)}}this.HTMLcheckStretchy(this.data.close,o,s,q);this.HTMLcleanBBox(o);return s},HTMLcheckStretchy:function(m,n,p,o){if(m){if(!o&&m.HTMLcanStretch("Vertical")){p.push(m);m=(m.CoreMO()||m)}this.HTMLcombineBBoxes(m,n)}}});i.menclose.Augment({toHTML:i.mbase.HTMLautoload});i.maction.Augment({toHTML:i.mbase.HTMLautoload});i.semantics.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.munderover.Augment({toHTML:function(M,I,G){var n=this.getValues("displaystyle","accent","accentunder","align");var q=this.data[this.base];if(!n.displaystyle&&q!=null&&(q.movablelimits||q.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toHTML.call(this,M)}M=this.HTMLcreateSpan(M);var Q=this.HTMLgetScale();var r=d.createStack(M);var s=[],p=[],O=[],z,N,J;for(N=0,J=this.data.length;N<J;N++){if(this.data[N]!=null){z=s[N]=d.createBox(r);p[N]=this.data[N].toHTML(z);if(N==this.base){if(G!=null){this.data[this.base].HTMLstretchV(z,I,G)}else{if(I!=null){this.data[this.base].HTMLstretchH(z,I)}}O[N]=(G==null&&I!=null?false:this.data[N].HTMLcanStretch("Horizontal"));if(this.data[this.over]&&n.accent){p[N].bbox.h=Math.max(p[N].bbox.h,Q*d.TeX.x_height)}}else{O[N]=this.data[N].HTMLcanStretch("Horizontal");p[N].style.paddingLeft=p[N].style.paddingRight=""}}}d.MeasureSpans(p);var o=-d.BIGDIMEN,L=o;for(N=0,J=this.data.length;N<J;N++){if(this.data[N]){if(s[N].bbox.w>L){L=s[N].bbox.w}if(!O[N]&&L>o){o=L}}}if(G==null&&I!=null){o=I}else{if(o==-d.BIGDIMEN){o=L}}for(N=L=0,J=this.data.length;N<J;N++){if(this.data[N]){z=s[N];if(O[N]){z.bbox=this.data[N].HTMLstretchH(z,o).bbox;if(N!==this.base){p[N].style.paddingLeft=p[N].style.paddingRight=""}}if(z.bbox.w>L){L=z.bbox.w}}}var F=d.TeX.rule_thickness*this.mscale,H=d.FONTDATA.TeX_factor;var w,u,B,A,v,E,K,P=0;q=s[this.base]||{bbox:this.HTMLzeroBBox()};if(q.bbox.ic){P=1.3*q.bbox.ic+0.05}for(N=0,J=this.data.length;N<J;N++){if(this.data[N]!=null){z=s[N];v=d.TeX.big_op_spacing5*Q;var C=(N!=this.base&&n[this.ACCENTS[N]]);if(C&&z.bbox.w<=1/d.em+0.0001){z.bbox.w=z.bbox.rw-z.bbox.lw;z.bbox.noclip=true;if(z.bbox.lw){z.insertBefore(d.createSpace(z.parentNode,0,0,-z.bbox.lw),z.firstChild)}d.createBlank(z,0,0,z.bbox.rw+0.1)}E={left:0,center:(L-z.bbox.w)/2,right:L-z.bbox.w}[n.align];w=E;u=0;if(N==this.over){if(C){K=Math.max(F*Q*H,2.5/this.em);v=0;if(q.bbox.skew){w+=q.bbox.skew;M.bbox.skew=q.bbox.skew;if(w+z.bbox.w>L){M.bbox.skew+=(L-z.bbox.w-w)/2}}}else{B=d.TeX.big_op_spacing1*Q*H;A=d.TeX.big_op_spacing3*Q*H;K=Math.max(B,A-Math.max(0,z.bbox.d))}K=Math.max(K,1.5/this.em);w+=P/2;u=q.bbox.h+z.bbox.d+K;z.bbox.h+=v}else{if(N==this.under){if(C){K=3*F*Q*H;v=0}else{B=d.TeX.big_op_spacing2*Q*H;A=d.TeX.big_op_spacing4*Q*H;K=Math.max(B,A-z.bbox.h)}K=Math.max(K,1.5/this.em);w-=P/2;u=-(q.bbox.d+z.bbox.h+K);z.bbox.d+=v}}d.placeBox(z,w,u)}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.msubsup.Augment({toHTML:function(M,K,F){M=this.HTMLcreateSpan(M);var P=this.HTMLgetScale(),J=this.HTMLgetMu(M);var y=d.createStack(M),n,w=[];var x=d.createBox(y);if(this.data[this.base]){w.push(this.data[this.base].toHTML(x));if(F!=null){this.data[this.base].HTMLstretchV(x,K,F)}else{if(K!=null){this.data[this.base].HTMLstretchH(x,K)}}}else{x.bbox=this.HTMLzeroBBox()}var N=d.TeX.x_height*P,E=d.TeX.scriptspace*P*0.75;var m,z;if(this.HTMLnotEmpty(this.data[this.sup])){m=d.createBox(y);w.push(this.data[this.sup].toHTML(m))}if(this.HTMLnotEmpty(this.data[this.sub])){z=d.createBox(y);w.push(this.data[this.sub].toHTML(z))}d.MeasureSpans(w);if(m){m.bbox.w+=E;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}if(z){z.bbox.w+=E;z.bbox.rw=Math.max(z.bbox.w,z.bbox.rw)}d.placeBox(x,0,0);var o=P;if(m){o=this.data[this.sup].HTMLgetScale()}else{if(z){o=this.data[this.sub].HTMLgetScale()}}var H=d.TeX.sup_drop*o,G=d.TeX.sub_drop*o;var B=x.bbox.h-H,A=x.bbox.d+G,O=0,I;if(x.bbox.ic){x.bbox.w-=x.bbox.ic;O=1.3*x.bbox.ic+0.05}if(this.data[this.base]&&K==null&&F==null&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(d.isChar(this.data[this.base].data.join(""))&&w[0].scale===1&&!this.data[this.base].Get("largeop")){B=A=0}}var L=this.getValues("subscriptshift","superscriptshift");L.subscriptshift=(L.subscriptshift===""?0:d.length2em(L.subscriptshift,J));L.superscriptshift=(L.superscriptshift===""?0:d.length2em(L.superscriptshift,J));if(!m){if(z){A=Math.max(A,d.TeX.sub1*P,z.bbox.h-(4/5)*N,L.subscriptshift);d.placeBox(z,x.bbox.w,-A,z.bbox)}}else{if(!z){n=this.getValues("displaystyle","texprimestyle");I=d.TeX[(n.displaystyle?"sup1":(n.texprimestyle?"sup3":"sup2"))];B=Math.max(B,I*P,m.bbox.d+(1/4)*N,L.superscriptshift);d.placeBox(m,x.bbox.w+O,B,m.bbox)}else{A=Math.max(A,d.TeX.sub2*P);var C=d.TeX.rule_thickness*P;if((B-m.bbox.d)-(z.bbox.h-A)<3*C){A=3*C-B+m.bbox.d+z.bbox.h;H=(4/5)*N-(B-m.bbox.d);if(H>0){B+=H;A-=H}}d.placeBox(m,x.bbox.w+O,Math.max(B,L.superscriptshift));d.placeBox(z,x.bbox.w,-Math.max(A,L.subscriptshift))}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload});i.mtable.Augment({toHTML:i.mbase.HTMLautoload});i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload});i.annotation.Augment({toHTML:function(m){return this.HTMLcreateSpan(m)}});i.math.Augment({toHTML:function(E,B,t){var u,w,x,r,m=E;if(!t||t===d.PHASE.I){var C=d.addElement(E,"nobr",{isMathJax:true});E=this.HTMLcreateSpan(C);var n=this.Get("alttext");if(n&&!E.getAttribute("aria-label")){E.setAttribute("aria-label",n)}u=d.createStack(E);w=d.createBox(u);u.style.fontSize=C.parentNode.style.fontSize;C.parentNode.style.fontSize="";if(this.data[0]!=null){i.mbase.prototype.displayAlign=b.config.displayAlign;i.mbase.prototype.displayIndent=b.config.displayIndent;if(String(b.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}x=this.data[0].toHTML(w);x.bbox.exactW=false}}else{E=E.firstChild.firstChild;if(this.href){E=E.firstChild}u=E.firstChild;if(u.style.position!=="relative"){u=u.nextSibling}w=u.firstChild;x=w.firstChild}r=((!t||t===d.PHASE.II)?d.Measured(x,w):x);if(!t||t===d.PHASE.III){d.placeBox(w,0,0);var q=r.bbox.w;q=Math.abs(q)<0.006?0:Math.max(0,Math.round(q*this.em)+0.25);E.style.width=d.EmRounded(q/d.outerEm);E.style.display="inline-block";var A=1/d.em,G=d.em/d.outerEm;d.em/=G;E.bbox.h*=G;E.bbox.d*=G;E.bbox.w*=G;E.bbox.lw*=G;E.bbox.rw*=G;if(E.bbox.H){E.bbox.H*=G}if(E.bbox.D){E.bbox.D*=G}if(r&&r.bbox.width!=null){E.style.minWidth=(r.bbox.minWidth||E.style.width);E.style.width=r.bbox.width;w.style.width=u.style.width="100%";m.className+=" MathJax_FullWidth"}var D=this.HTMLhandleColor(E);if(r){d.createRule(E,(r.bbox.h+A)*G,(r.bbox.d+A)*G,0)}if(!this.isMultiline&&this.Get("display")==="block"&&E.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===i.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}if(o.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift="0"}var F=d.length2em(o.indentshift,1,d.scale*d.cwidth);if(this.displayIndent!=="0"){var y=d.length2em(this.displayIndent,1,d.scale*d.cwidth);F+=(o.indentalign===i.INDENTALIGN.RIGHT?-y:y)}m.style.textAlign=B.style.textAlign=o.indentalign;if(F){b.Insert(E.style,({left:{marginLeft:d.Em(F)},right:{marginRight:d.Em(-F)},center:{marginLeft:d.Em(F),marginRight:d.Em(-F)}})[o.indentalign]);if(D){var v=parseFloat(D.style.marginLeft||"0")+F,s=parseFloat(D.style.marginRight||"0")-F;D.style.marginLeft=d.Em(v);D.style.marginRight=d.Em(s+(o.indentalign==="right"?E.bbox.w+F-E.bbox.w:0));if(d.msieColorBug&&o.indentalign==="right"){if(parseFloat(D.style.marginLeft)>0){var z=MathJax.HTML.addElement(D.parentNode,"span");z.style.marginLeft=d.Em(s+Math.min(0,E.bbox.w+F));D.nextSibling.style.marginRight="0em"}D.nextSibling.style.marginLeft="0em";D.style.marginRight=D.style.marginLeft="0em"}}}}}return E},HTMLspanElement:i.mbase.prototype.HTMLspanElement});i.TeXAtom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){if(this.texClass===i.TEXCLASS.VCENTER){var m=d.createStack(q);var r=d.createBox(m);var t=this.data[0].toHTML(r);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(r,o,s),r)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(r,o),r)}else{d.Measured(t,r)}}var n=d.TeX.axis_height*this.HTMLgetScale();d.placeBox(r,0,n-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var p=this.data[0].toHTML(q,o,s);if(s!=null){p=this.data[0].HTMLstretchV(r,o,s)}else{if(o!=null){p=this.data[0].HTMLstretchH(r,o)}}q.bbox=p.bbox}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});b.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(m){var q=(document.documentMode||0);var p=m.versionAtLeast("7.0");var o=m.versionAtLeast("8.0")&&q>7;var n=(document.compatMode==="BackCompat");if(q<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:(q<8),msieColorPositionBug:true,msieRelativeWidthBug:n,msieDisappearingBug:(q>=8),msieMarginScaleBug:(q<8),msiePaddingWidthBug:true,msieBorderWidthBug:n,msieFrameSizeBug:(q<=8),msieInlineBlockAlignBug:(!o||n),msiePlaceBoxBug:(o&&!n),msieClipRectBug:!o,msieNegativeSpaceBug:n,msieRuleBug:(q<7),cloneNodeBug:(o&&m.version==="8.0"),msieItalicWidthBug:true,initialSkipBug:(q<8),msieNegativeBBoxBug:(q>=8),msieIE6:!p,msieItalicWidthBug:true,FontFaceBug:(q<9),msieFontCSSBug:m.isIE9,allowWebFonts:(q>=9?"woff":"eot")})},Firefox:function(n){var o=false;if(n.versionAtLeast("3.5")){var m=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,m.length)===m){o="otf"}}d.Augment({ffVerticalAlignBug:!n.versionAtLeast("20.0"),AccentBug:true,allowWebFonts:o,ffFontOptimizationBug:true})},Safari:function(r){var p=r.versionAtLeast("3.0");var o=r.versionAtLeast("3.1");var m=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var n=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var s=(o&&r.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!r.versionAtLeast("5.0"))||(n!=null&&(n[1]<2||(n[1]==2&&n[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:((r.webkit||0)>=538?d.EmRounded:d.Em),rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!o,safariTextNodeBug:!p,forceReflow:true,FontFaceBug:true,combiningCharBug:parseInt(r.webkit)>=602,allowWebFonts:(o&&!s?"otf":false)});if(m){d.Augment({webFontDefault:(r.isMobile?"sans-serif":"serif")})}if(r.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(s){var q=b.config["HTML-CSS"];if(q){q.availableFonts=[];q.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(m){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:-0.02,AccentBug:true,AdjustSurd:true,FontFaceBug:m.versionAtLeast("32.0"),negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(m.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(m){m.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:m.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(m.versionAtLeast("10.0")&&!m.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(m){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_HTMLorMML-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_HTMLorMML-full.js");
diff --git a/config/AM_HTMLorMML.js b/config/AM_HTMLorMML.js
index 123886493f..c1ca420c6e 100644
--- a/config/AM_HTMLorMML.js
+++ b/config/AM_HTMLorMML.js
@@ -37,19 +37,107 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
 (function(c,g){var f="2.7.0";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_HTMLorMML.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_HTMLorMML.js");
diff --git a/config/AM_SVG-full.js b/config/AM_SVG-full.js
index 830bc2dfaa..9b17fbb5c0 100644
--- a/config/AM_SVG-full.js
+++ b/config/AM_SVG-full.js
@@ -35,19 +35,107 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
-(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);var o=n.Add(this.data[0].toSVG());n.Clean();if(o.ic){n.ic=o.ic}this.SVGhandleColor(n)}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aI<aE;aI++){S=this.data[aI];az=(S.type==="mlabeledtr"?aK:0);O[aI]=[];z[aI]=ac;I[aI]=ag;for(aG=az,u=S.data.length+az;aG<u;aG++){if(k[aG]==null){if(aG>w){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aI<aE;aI++){am[aI]=d.length2em(am[aI],v)}for(aI=0,aE=T.length;aI<aE;aI++){T[aI]=d.length2em(T[aI],v)}while(am.length<w){am.push(am[am.length-1])}while(ai.length<=w){ai.push(ai[ai.length-1])}while(N.length<w){N.push(N[N.length-1])}while(ar.length<=w){ar.push(ar[ar.length-1])}while(T.length<O.length){T.push(T[T.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(h.length<O.length){h.push(h[h.length-1])}if(K[aK]){ai[aK]=(aN.side.substr(0,1)==="l"?"left":"right");am[aK]=-k[aK]}for(aI=0,aE=O.length;aI<aE;aI++){S=this.data[aI];aw[aI]=[];if(S.rowalign){L[aI]=S.rowalign}if(S.columnalign){aw[aI]=ao(S.columnalign);while(aw[aI].length<=w){aw[aI].push(aw[aI][aw[aI].length-1])}}}if(aN.equalrows){var U=Math.max.apply(Math,z),aq=Math.max.apply(Math,I);for(aI=0,aE=O.length;aI<aE;aI++){az=((U+aq)-(z[aI]+I[aI]))/2;z[aI]+=az;I[aI]+=az}}aA=z[0]+I[O.length-1];for(aI=0,aE=O.length-1;aI<aE;aI++){aA+=Math.max(0,I[aI]+z[aI+1]+T[aI])}var ae=0,ab=0,aB,aL=aA;if(aN.frame!=="none"||(aN.columnlines+aN.rowlines).match(/solid|dashed/)){var t=ao(aN.framespacing);if(t.length!=2){t=ao(this.defaults.framespacing)}ae=d.length2em(t[0],v);ab=d.length2em(t[1],v);aL=aA+2*ab}var g,ay,aD="";if(typeof(aN.align)!=="string"){aN.align=String(aN.align)}if(aN.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aD=RegExp.$3||"";aN.align=RegExp.$1}else{aN.align=this.defaults.align}if(aD!==""){aD=parseInt(aD);if(aD<0){aD=O.length+1+aD}if(aD<1){aD=1}else{if(aD>O.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI<aE;aI++){var Z=Math.max(0,I[aI]+z[aI+1]+T[aI]);g+=Z;ay+=Z}}else{g=({top:-(z[0]+ab),bottom:aA+ab-z[0],center:aA/2-z[0],baseline:aA/2-z[0],axis:aA/2+d.TeX.axis_height*ap-z[0]})[aN.align];ay=({top:-(aA+2*ab),bottom:0,center:-(aA/2+ab),baseline:-(aA/2+ab),axis:d.TeX.axis_height*ap-aA/2-ab})[aN.align]}var at,ax=0,V=0,X=0,aC=0,aJ=0,r=[],B=[],aj=1;if(aN.equalcolumns&&aN.width!=="auto"){at=d.length2em(aN.width,v);for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}at/=w;for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){k[aI]=at}}else{for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){if(ar[aI]==="auto"){V+=k[aI]}else{if(ar[aI]==="fit"){B[aJ]=aI;aJ++;V+=k[aI]}else{if(ar[aI].match(/%$/)){r[aC]=aI;aC++;X+=k[aI];ax+=d.length2em(ar[aI],v,1)}else{k[aI]=d.length2em(ar[aI],v);V+=k[aI]}}}}if(aN.width==="auto"){if(ax>0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}}for(aI=0,aE=r.length;aI<aE;aI++){k[r[aI]]=d.length2em(ar[r[aI]],v,at*aj);V+=k[r[aI]]}if(Math.abs(at-V)>0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aI<aE;aI++){k[B[aI]]+=at}}else{at=at/V;for(aG=0;aG<=w;aG++){k[aG]*=at}}}if(aN.equalcolumns){var af=Math.max.apply(Math,k);for(aG=0;aG<=w;aG++){k[aG]=af}}}var au=g,l,aF;az=(K[aK]?aK:0);for(aG=az;aG<=w;aG++){K[aG].w=k[aG];for(aI=0,aE=O.length;aI<aE;aI++){if(O[aI][aG]){az=(this.data[aI].type==="mlabeledtr"?aK:0);an=this.data[aI].data[aG-az];if(an.SVGcanStretch("Horizontal")){O[aI][aG]=an.SVGstretchH(k[aG])}else{if(an.SVGcanStretch("Vertical")){E=an.CoreMO();var ad=E.symmetric;E.symmetric=false;O[aI][aG]=an.SVGstretchV(z[aI],I[aI]);E.symmetric=ad}}aF=an.rowalign||this.data[aI].rowalign||L[aI];l=({top:z[aI]-O[aI][aG].h,bottom:O[aI][aG].d-I[aI],center:((z[aI]-I[aI])-(O[aI][aG].h-O[aI][aG].d))/2,baseline:0,axis:0})[aF]||0;aF=(an.columnalign||aw[aI][aG]||ai[aG]);K[aG].Align(O[aI][aG],aF,0,au+l)}if(aI<O.length-1){au-=Math.max(0,I[aI]+z[aI+1]+T[aI])}}au=g}var ah=1.5*d.em;var av=ae-ah/2;for(aG=0;aG<=w;aG++){o.Add(K[aG],av,0);av+=k[aG]+am[aG];if(N[aG]!=="none"&&aG<w&&aG!==aK){o.Add(b.VLINE(aL,ah,N[aG]),av-am[aG]/2,ay)}}o.w+=ae;o.d=-ay;o.h=aL+ay;aB=o.w;if(aN.frame!=="none"){o.Add(b.HLINE(aB,ah,aN.frame),0,ay+aL-ah);o.Add(b.HLINE(aB,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),aB-ah,ay)}au=g-ah/2;for(aI=0,aE=O.length-1;aI<aE;aI++){l=Math.max(0,I[aI]+z[aI+1]+T[aI]);if(h[aI]!==a.LINES.NONE&&h[aI]!==""){o.Add(b.HLINE(aB,ah,h[aI]),0,au-I[aI]-(l-I[aI]-z[aI+1])/2)}au-=l}o.Clean();this.SVGhandleSpace(o);this.SVGhandleColor(o);if(K[aK]){o.tw=Math.max(o.w,o.r)-Math.min(0,o.l);var R=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(R.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){R.indentalign=R.indentalignfirst}if(R.indentalign===a.INDENTALIGN.AUTO){R.indentalign=this.displayAlign}if(R.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){R.indentshift=R.indentshiftfirst}if(R.indentshift==="auto"||R.indentshift===""){R.indentshift="0"}var ak=d.length2em(R.indentshift,v,d.cwidth);var Q=d.length2em(aN.minlabelspacing,v,d.cwidth);var al=Q+K[aK].w,aO=0,aH=o.w;var e=d.length2em(this.displayIndent,v,d.cwidth);az=(ai[aK]===a.INDENTALIGN.RIGHT?-1:1);if(R.indentalign===a.INDENTALIGN.CENTER){var q=(d.cwidth-aH)/2;ak+=e;if(al+az*aO>q+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.9",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}o.D=o.d;o.H=o.h;o.r=Math.max(0,Math.min(o.w,o.r));o.l=Math.max(0,Math.min(o.w,o.l))}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(o);var p=o.Add(this.data[0].toSVG(n,q));o.Clean();if(p.ic){o.ic=p.ic}this.SVGhandleColor(o)}this.SVGsaveData(o);return o}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aI<aE;aI++){S=this.data[aI];az=(S.type==="mlabeledtr"?aK:0);O[aI]=[];z[aI]=ac;I[aI]=ag;for(aG=az,u=S.data.length+az;aG<u;aG++){if(k[aG]==null){if(aG>w){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aI<aE;aI++){am[aI]=d.length2em(am[aI],v)}for(aI=0,aE=T.length;aI<aE;aI++){T[aI]=d.length2em(T[aI],v)}while(am.length<w){am.push(am[am.length-1])}while(ai.length<=w){ai.push(ai[ai.length-1])}while(N.length<w){N.push(N[N.length-1])}while(ar.length<=w){ar.push(ar[ar.length-1])}while(T.length<O.length){T.push(T[T.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(h.length<O.length){h.push(h[h.length-1])}if(K[aK]){ai[aK]=(aN.side.substr(0,1)==="l"?"left":"right");am[aK]=-k[aK]}for(aI=0,aE=O.length;aI<aE;aI++){S=this.data[aI];aw[aI]=[];if(S.rowalign){L[aI]=S.rowalign}if(S.columnalign){aw[aI]=ao(S.columnalign);while(aw[aI].length<=w){aw[aI].push(aw[aI][aw[aI].length-1])}}}if(aN.equalrows){var U=Math.max.apply(Math,z),aq=Math.max.apply(Math,I);for(aI=0,aE=O.length;aI<aE;aI++){az=((U+aq)-(z[aI]+I[aI]))/2;z[aI]+=az;I[aI]+=az}}aA=z[0]+I[O.length-1];for(aI=0,aE=O.length-1;aI<aE;aI++){aA+=Math.max(0,I[aI]+z[aI+1]+T[aI])}var ae=0,ab=0,aB,aL=aA;if(aN.frame!=="none"||(aN.columnlines+aN.rowlines).match(/solid|dashed/)){var t=ao(aN.framespacing);if(t.length!=2){t=ao(this.defaults.framespacing)}ae=d.length2em(t[0],v);ab=d.length2em(t[1],v);aL=aA+2*ab}var g,ay,aD="";if(typeof(aN.align)!=="string"){aN.align=String(aN.align)}if(aN.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aD=RegExp.$3||"";aN.align=RegExp.$1}else{aN.align=this.defaults.align}if(aD!==""){aD=parseInt(aD);if(aD<0){aD=O.length+1+aD}if(aD<1){aD=1}else{if(aD>O.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI<aE;aI++){var Z=Math.max(0,I[aI]+z[aI+1]+T[aI]);g+=Z;ay+=Z}}else{g=({top:-(z[0]+ab),bottom:aA+ab-z[0],center:aA/2-z[0],baseline:aA/2-z[0],axis:aA/2+d.TeX.axis_height*ap-z[0]})[aN.align];ay=({top:-(aA+2*ab),bottom:0,center:-(aA/2+ab),baseline:-(aA/2+ab),axis:d.TeX.axis_height*ap-aA/2-ab})[aN.align]}var at,ax=0,V=0,X=0,aC=0,aJ=0,r=[],B=[],aj=1;if(aN.equalcolumns&&aN.width!=="auto"){at=d.length2em(aN.width,v);for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}at/=w;for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){k[aI]=at}}else{for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){if(ar[aI]==="auto"){V+=k[aI]}else{if(ar[aI]==="fit"){B[aJ]=aI;aJ++;V+=k[aI]}else{if(ar[aI].match(/%$/)){r[aC]=aI;aC++;X+=k[aI];ax+=d.length2em(ar[aI],v,1)}else{k[aI]=d.length2em(ar[aI],v);V+=k[aI]}}}}if(aN.width==="auto"){if(ax>0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}}for(aI=0,aE=r.length;aI<aE;aI++){k[r[aI]]=d.length2em(ar[r[aI]],v,at*aj);V+=k[r[aI]]}if(Math.abs(at-V)>0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aI<aE;aI++){k[B[aI]]+=at}}else{at=at/V;for(aG=0;aG<=w;aG++){k[aG]*=at}}}if(aN.equalcolumns){var af=Math.max.apply(Math,k);for(aG=0;aG<=w;aG++){k[aG]=af}}}var au=g,l,aF;az=(K[aK]?aK:0);for(aG=az;aG<=w;aG++){K[aG].w=k[aG];for(aI=0,aE=O.length;aI<aE;aI++){if(O[aI][aG]){az=(this.data[aI].type==="mlabeledtr"?aK:0);an=this.data[aI].data[aG-az];if(an.SVGcanStretch("Horizontal")){O[aI][aG]=an.SVGstretchH(k[aG])}else{if(an.SVGcanStretch("Vertical")){E=an.CoreMO();var ad=E.symmetric;E.symmetric=false;O[aI][aG]=an.SVGstretchV(z[aI],I[aI]);E.symmetric=ad}}aF=an.rowalign||this.data[aI].rowalign||L[aI];l=({top:z[aI]-O[aI][aG].h,bottom:O[aI][aG].d-I[aI],center:((z[aI]-I[aI])-(O[aI][aG].h-O[aI][aG].d))/2,baseline:0,axis:0})[aF]||0;aF=(an.columnalign||aw[aI][aG]||ai[aG]);K[aG].Align(O[aI][aG],aF,0,au+l)}if(aI<O.length-1){au-=Math.max(0,I[aI]+z[aI+1]+T[aI])}}au=g}var ah=1.5*d.em;var av=ae-ah/2;for(aG=0;aG<=w;aG++){o.Add(K[aG],av,0);av+=k[aG]+am[aG];if(N[aG]!=="none"&&aG<w&&aG!==aK){o.Add(b.VLINE(aL,ah,N[aG]),av-am[aG]/2,ay)}}o.w+=ae;o.d=-ay;o.h=aL+ay;aB=o.w;if(aN.frame!=="none"){o.Add(b.HLINE(aB,ah,aN.frame),0,ay+aL-ah);o.Add(b.HLINE(aB,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),aB-ah,ay)}au=g-ah/2;for(aI=0,aE=O.length-1;aI<aE;aI++){l=Math.max(0,I[aI]+z[aI+1]+T[aI]);if(h[aI]!==a.LINES.NONE&&h[aI]!==""){o.Add(b.HLINE(aB,ah,h[aI]),0,au-I[aI]-(l-I[aI]-z[aI+1])/2)}au-=l}o.Clean();this.SVGhandleSpace(o);this.SVGhandleColor(o);if(K[aK]){o.tw=Math.max(o.w,o.r)-Math.min(0,o.l);var R=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(R.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){R.indentalign=R.indentalignfirst}if(R.indentalign===a.INDENTALIGN.AUTO){R.indentalign=this.displayAlign}if(R.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){R.indentshift=R.indentshiftfirst}if(R.indentshift==="auto"||R.indentshift===""){R.indentshift="0"}var ak=d.length2em(R.indentshift,v,d.cwidth);var Q=d.length2em(aN.minlabelspacing,v,d.cwidth);var al=Q+K[aK].w,aO=0,aH=o.w;var e=d.length2em(this.displayIndent,v,d.cwidth);az=(ai[aK]===a.INDENTALIGN.RIGHT?-1:1);if(R.indentalign===a.INDENTALIGN.CENTER){var q=(d.cwidth-aH)/2;ak+=e;if(al+az*aO>q+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_SVG-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_SVG-full.js");
diff --git a/config/AM_SVG.js b/config/AM_SVG.js
index 30da269d26..45473120e4 100644
--- a/config/AM_SVG.js
+++ b/config/AM_SVG.js
@@ -32,16 +32,104 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_SVG.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.9",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/AM_SVG.js");
diff --git a/config/Accessible-full.js b/config/Accessible-full.js
index d5f7b4879e..ed956b4888 100644
--- a/config/Accessible-full.js
+++ b/config/Accessible-full.js
@@ -55,29 +55,117 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
 (function(c,g){var f="2.7.0";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(l,c,g,e){var f,i=c.Browser.isMSIE;var h,b,d,k;c.Register.StartupHook("MathZoom Ready",function(){k=MathJax.Extension.MathZoom});var j=function(m,o){var n=e.Element("span");m="padding"+m;if(o){n.style.cssText=(o.getAttribute("style")||"");if(n.style.padding===""&&(n.style[m]||"")===""){n.style[m]="0px";o.setAttribute("style",n.style.cssText)}}};var a=function(r,m,p){if(r){var o=e.Element("span");o.style.cssText=(r.getAttribute("style")||"");if(o.style.padding===""){var q={paddingLeft:p,paddingTop:m,paddingRight:"0px",paddingBottom:"0px"};for(var n in q){if(q.hasOwnProperty(n)){if((o.style[n]||"")===""){o.style[n]=q[n]}}}}r.setAttribute("style",o.style.cssText)}};l.Augment({config:{styles:{".MathJax_MathML":{"font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},"span.MathJax_MathML":{display:"inline!important"},"div.MathJax_MathML":{display:"block!important"},".MathJax_mmlExBox":{display:"block!important",overflow:"hidden",height:"1px",width:"60ex","min-height":0,"max-height":"none",padding:0,border:0,margin:0}}},handlesVariants:false,settings:c.config.menuSettings,ex:1,scale:1,adjustWidths:[],Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(c.config.displayAlign!=="center"){var o=c.config.displayAlign,m=c.config.displayIndent;var n={"text-align":o+"!important"};n["margin-"+o]=m+"!important";c.Insert(this.config.styles,{"div.MathJax_MathML":n,"div.MathJax_MathML math":{"text-align":o},"div.MathJax_MathContainer > span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!c.Browser.hasMathPlayer){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(c.Browser.hasMathPlayer){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){if(!this.config.noMathPlayerWarning){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}if(!this.initialized){this.InitializeMML()}r=y.previousSibling;if(r&&r.className==="MathJax_MathML"){r.parentNode.removeChild(r)}n=y.MathJax.elementJax;if(!n){continue}z=n.root;n.NativeMML={};var x=(z.Get("display")==="block"?"div":"span");A=e.Element(x,{className:"MathJax_MathML",id:n.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);y.parentNode.insertBefore(A,y);if(!i){y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y)}}for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}n=y.MathJax.elementJax;if(!n){continue}if(!i){w=y.previousSibling;v=w.firstChild.offsetWidth/60;s=w.lastChild.offsetWidth/60;if(v===0||v==="NaN"){v=this.defaultEx;s=this.defaultMEx}q=(this.config.matchFontHeight&&s>1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;u<p;u++){y=t[u];if(y.parentNode&&y.MathJax.elementJax){y.parentNode.removeChild(y.previousSibling)}}}},Translate:function(s){if(!s.parentNode){return}var m=s.MathJax.elementJax,t=m.root;var u=document.getElementById(m.inputID+"-Frame");if(!u){return}var n=u.firstChild,q=n.firstChild;this.ex=m.NativeMML.ex||this.defaultEx;this.scale=m.NativeMML.scale||1;if(this.scale!==1){u.style.fontSize=m.NativeMML.fontSize}try{t.toNativeMML(q,m)}catch(r){if(r.restart){while(q.firstChild){q.removeChild(q.firstChild)}}throw r}if(i){if(n.addEventListener){for(var o in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(o)){n.addEventListener(o,this.MSIE9event,true)}}}else{var p=(this.config.showMathMenuMSIE!=null?this:c).config;if(p.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(n)}else{n.style.position="";q.firstChild.onmousedown=this.MSIEaltMenu}}}else{n.oncontextmenu=h.Menu;n.onmouseover=h.Mouseover;n.onmouseout=h.Mouseout;n.onmousedown=h.Mousedown;n.onclick=h.Click;n.ondblclick=h.DblClick;n.onkeydown=h.Keydown;n.tabIndex=c.getTabOrder(m);if(c.Browser.noContextMenu){n.ontouchstart=b.start;n.ontouchend=b.end}}},postTranslate:function(n){if(this.forceReflow){var m=(document.styleSheets||[])[0]||{};m.disabled=true;m.disabled=false}},Remove:function(m){var n=m.SourceElement();if(!n){return}n=n.previousSibling;if(!n){return}if(n.className.match(/MathJax_MathML/)){n.parentNode.removeChild(n)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",isFullWidth:function(r){if(!r){return}var q=r.getAttribute("width")||(String(r.getAttribute("style")).match(/(?:^| )width: *([^; ]*)/)||[])[1];if(q){return !!q.match(/%/)}if(r.nodeName.match(/^(semantics|math|mstyle)$/)){q=this.isFullWidth(r.firstChild)}else{if(r.nodeName.toLowerCase()==="mrow"){for(var o=0,n=r.childNodes.length;o<n&&!q;o++){q=this.isFullWidth(r.childNodes[o])}}}if(q){var p="width:100%; "+(r.getAttribute("style")||"");r.setAttribute("style",p.replace(/ +$/,""))}return q},MSIEoverlay:function(m){var n=m.firstChild;if(n.nodeName.toLowerCase()==="span"){n=n.firstChild}var o=this.getHoverBBox(null,n,{});e.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:d.Px(-o.w),top:d.Px(-o.h-(o.y||0)-1),width:d.Px(o.w),height:d.Px(o.h+o.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);c.Insert(m,{msieMath:n,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var n=window.event;var m=l.MSIEevents[n.type];if(l[m]&&l[m](n,this)===false){return false}if(k&&k.HandleEvent(n,m,this)===false){return false}if(n.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(m==="ContextMenu"||m==="Mouseover"||m==="Mouseout"){this.msieMath.fireEvent("on"+n.type,n)}}return h.False(n)},MSIEaltMenu:function(){var m=this.parentNode.parentNode;while(!m.jaxID){m=m.parentNode}h.AltContextMenu(window.event,m)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(n){if(n.type==="contextmenu"&&l.settings.mpContext){return true}if(n.type==="mouseup"&&l.settings.mpMouse){return true}if(n.type==="click"&&l.settings.mpContext){return h.AltContextMenu(n,this)}var m=l.MSIE9events[n.type];return h[m].call(this,n)},getJaxFromMath:function(m){m=m.parentNode;do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return c.getJaxFor(m)},getHoverSpan:function(m,n){return n.firstChild},getHoverBBox:function(m,n,o){return h.getBBox(n.parentNode)},Zoom:function(n,u,s,m,r){n.root.toNativeMML(u);if(this.msieIE8HeightBug){u.style.position="absolute"}if(l.widthBug){u.style.width=u.parentNode.style.width=""}if(u.parentNode.style.width.match(/%$/)){u.parentNode.style.minWidth=Math.ceil(3*r/4)+"px"}var p=s.offsetWidth||s.scrollWidth,v=s.offsetHeight||s.scrollHeight;var t=u.offsetWidth,q=u.offsetHeight;if(l.widthBug||u.style.width.match(/%/)){var o=u.firstChild.firstChild.scrollWidth;if(o>t){t=o;u.parentNode.style.width=u.style.minWidth=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}r.appendChild(p)},NativeMMLattributes:function(w){var r=(this.type==="mstyle"?f.math.prototype.defaults:this.defaults);var t=(this.attrNames||f.copyAttributeNames),v=f.skipAttributes,o=f.copyAttributes;if(!this.attrNames){for(var p in r){if(!v[p]&&!o[p]&&r.hasOwnProperty(p)){if(this[p]!=null&&this[p]!==r[p]){if(this.Get(p,null,1)!==this[p]){w.setAttribute(p,this.NativeMMLattribute(this[p]))}}}}}for(var s=0,q=t.length;s<q;s++){if(o[t[s]]===1&&!r.hasOwnProperty(t[s])){continue}var u=(this.attr||{})[t[s]];if(u==null){u=this[t[s]]}if(u!=null){w.setAttribute(t[s],this.NativeMMLattribute(u))}}this.NativeMMLclass(w)},NativeMMLclass:function(o){var q=[];if(this["class"]){q.push(this["class"])}if(this.isa(f.TeXAtom)){var p=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(p){q.push("MJX-TeXAtom-"+p);if(p==="OP"&&!this.movablelimits){q.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){q.push("MJX"+this.mathvariant)}if(this.variantForm){q.push("MJX-variant")}if(q.length){o.setAttribute("class",q.join(" "))}},NativeMMLattribute:function(o){o=String(o);if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}else{if(o.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){o=(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.NativeMMLvariants[o]){o=this.NativeMMLvariants[o]}}}return o},NativeMMLvariants:{"-tex-caligraphic":f.VARIANT.SCRIPT,"-tex-caligraphic-bold":f.VARIANT.BOLDSCRIPT,"-tex-oldstyle":f.VARIANT.NORMAL,"-tex-oldstyle-bold":f.VARIANT.BOLD,"-tex-mathit":f.VARIANT.ITALIC},NativeMMLelement:function(o){var p=(c.Browser.mpNamespace?document.createElement("m:"+o):(document.createElementNS?document.createElementNS(l.MMLnamespace,o):document.createElement(o)));p.isMathJax=true;return p}});f.mrow.Augment({toNativeMML:function(s){var r,p;if(this.inferred&&this.parent.inferRow){for(r=0,p=this.data.length;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(s)}else{s.appendChild(this.NativeMMLelement("mrow"))}}}else{if(l.stretchyMoBug&&(this.open||this.close)){var q=this.NativeMMLelement("mfenced");this.NativeMMLattributes(q);r=0,p=this.data.length;if(this.open){q.setAttribute("open",this.open);r++}if(this.close){q.setAttribute("close",this.close);p--}var o=q;if(p-r+1>1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}s.appendChild(o)}else{this.SUPER(arguments).toNativeMML.call(this,s)}}}});f.msubsup.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.sup]==null){r="msub"}if(this.data[this.sub]==null){r="msup"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});f.munderover.Augment({toNativeMML:function(s){var r=this.type;var t=this.data[this.base];if(t&&t.isa(f.TeXAtom)&&t.movablelimits&&!t.Get("displaystyle")){r="msubsup";if(this.data[this.under]==null){r="msup"}if(this.data[this.over]==null){r="msub"}}else{if(this.data[this.under]==null){r="mover"}if(this.data[this.over]==null){r="munder"}}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});if(!i){var m=c.SplitList;f.mtable.Augment({toNativeMML:function(z){var s,q;if(l.tableSpacingBug){var A=this.getValues("rowspacing","columnspacing");this.nMMLtopPadding=m("0px "+A.rowspacing);this.nMMLleftPadding=m("0px "+A.columnspacing);var y=this.nMMLtopPadding,v=y.length;for(s=0,q=this.data.length;s<q;s++){if(this.data[s]){this.data[s].nMMLtopPadding=y[s<v?s:v-1]}}}if(l.tableLabelBug){for(s=0,q=this.data.length;s<q;s++){if(this.data[s]&&this.data[s].isa(f.mlabeledtr)){var u=c.config.displayAlign.charAt(0),w=this.Get("side").charAt(0);this.nMMLhasLabels=true;this.nMMLlaMatch=(u===w);this.nMMLforceWidth=(u==="c"||!!((this.width||"").match("%")));break}}}if(this.width&&this.ffTableWidthBug){var B=(this.style||"").replace(/;\s*$/,"").split(";");if(B[0]===""){B.shift()}B.push("width:"+this.width);this.style=B.join(";")}this.SUPER(arguments).toNativeMML.call(this,z);if(this.nMMLhasLabels){var r=z.firstChild;if(this.nMMLforceWidth||w!=="r"){var p=(u!=="l"?1:0)+(w==="l"?1:0);if(p){var t={columnalign:"left",columnwidth:"auto",columnspacing:"0px",columnlines:"none"};for(var o in t){if(t.hasOwnProperty(o)&&this[o]){var x=[t[o],t[o]].slice(2-p).join(" ")+" ";r.setAttribute(o,x+r.getAttribute(o))}}}}if(this.nMMLforceWidth||!this.nMMLlaMatch){r.setAttribute("width","100%")}}}});f.mtr.Augment({toNativeMML:function(v){this.SUPER(arguments).toNativeMML.call(this,v);var p=v.lastChild;if(l.tableSpacingBug){var r=this.parent.nMMLleftPadding,t=r.length;for(var w=p.firstChild,q=0;w;w=w.nextSibling,q++){a(w,this.nMMLtopPadding,r[q<t?q:t-1])}}if(l.tableLabelBug){var o=this.parent.nMMLforceWidth,u=this.parent.Get("side").charAt(0),s=c.config.displayAlign.charAt(0);if(this.parent.nMMLhasLabels&&p.firstChild){if(o||u!=="r"){j("Left",p.firstChild);if(s!=="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}if(u==="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}}if(o||u!=="l"){j("Right",p.lastChild)}}}}});f.mlabeledtr.Augment({toNativeMML:function(C){var t=this.NativeMMLelement("mtr");this.NativeMMLattributes(t);for(var u=1,s=this.data.length;u<s;u++){if(this.data[u]){this.data[u].toNativeMML(t)}else{t.appendChild(this.NativeMMLelement("mtd"))}}if(l.tableSpacingBug){var v=this.parent.nMMLleftPadding,y=v.length;u=0;for(var D=t.firstChild;D;D=D.nextSibling,u++){a(D,this.nMMLtopPadding,v[u<y?u:y-1])}}if(l.tableLabelBug&&this.data[0]){var z=this.parent.Get("side").charAt(0),x=c.config.displayAlign.charAt(0),q=c.config.displayIndent;this.data[0].toNativeMML(t);var A=t.lastChild,r=A;if(z===x){A.setAttribute("style","width:"+q);A.setAttribute("columnalign",c.config.displayAlign)}else{r=this.NativeMMLelement("mpadded");r.setAttribute("style","width:0");r.setAttribute("width","0px");r.appendChild(A.firstChild);A.appendChild(r)}j("",A);t.removeChild(A);var o=100,p=this.parent.nMMLforceWidth;if((this.parent.width||"").match(/%/)){o-=parseFloat(this.parent.width)}var B=o;if(p||z!=="r"){j("Left",t.firstChild);if(x!=="l"){if(x==="c"){B/=2}o-=B;t.insertBefore(this.NativeMMLelement("mtd"),t.firstChild).setAttribute("style","padding:0;width:"+B+"%")}if(z==="l"){t.insertBefore(A,t.firstChild)}}if(p||z!=="l"){j("Right",t.lastChild);if(x!=="r"){t.appendChild(this.NativeMMLelement("mtd")).setAttribute("style","padding:0;width:"+o+"%")}if(z==="r"){if(z!==x){r.setAttribute("lspace","-1width")}t.appendChild(A)}}}C.appendChild(t)}});f.mtd.Augment({toNativeMML:function(r){var p=r.appendChild(this.NativeMMLelement(this.type));this.NativeMMLattributes(p);if(l.mtdWidthBug){l.adjustWidths.push(p);p=p.appendChild(this.NativeMMLelement("mrow"))}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}}});f.mspace.Augment({toNativeMML:function(q){this.SUPER(arguments).toNativeMML.call(this,q);if(l.spaceWidthBug&&this.width){var r=q.lastChild;var p=r.getAttribute("width");var o=(r.getAttribute("style")||"").replace(/;?\s*/,"; ");r.setAttribute("style",o+"width:"+p)}}});f.mn.Augment({NativeMMLremapMinus:function(o){return o.replace(/^-/,"\u2212")},toNativeMML:function(s){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);var r=this.NativeMMLremapMinus;for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p,r);r=null}}s.appendChild(p)}});var n=g.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");l.Augment({config:{styles:{'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+n+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Caligraphic-Bold.otf')"}}}});if(!this.handlesVariants){l.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},"@font-face /*3*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+n+"/MathJax_AMS-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Script-WEB",src:"url('"+n+"/MathJax_Script-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+n+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Fraktur-Bold.otf')"}}}})}}f.math.Augment({toNativeMML:function(y,p){var A=this.NativeMMLelement(this.type),w=A;var u=(p?MathJax.InputJax[p.inputJax].annotationEncoding:null);var v,r;l.adjustWidths=[];A.setAttribute("xmlns",l.MMLnamespace);this.NativeMMLattributes(A);if(l.widthBug){A=A.appendChild(this.NativeMMLelement("mrow"))}if(u){A=A.appendChild(this.NativeMMLelement("semantics"));A.appendChild(this.NativeMMLelement("mrow"));var s=A.appendChild(this.NativeMMLelement("annotation"));s.appendChild(document.createTextNode(p.originalText));s.setAttribute("encoding",u);A=A.firstChild}for(v=0,r=this.data.length;v<r;v++){if(this.data[v]){this.data[v].toNativeMML(A)}else{A.appendChild(this.NativeMMLelement("mrow"))}}var t=((this.data[0]||{data:[]}).data[0]||{});if(t.nMMLhasLabels){if(t.nMMLforceWidth||!t.nMMLlaMatch){A.setAttribute("style","width:100%");if(u){A.parentNode.setAttribute("style","width:100%")}}if(t.nMMLlaMatch){if(y.parentNode.parentNode.nodeName.toLowerCase()==="div"){y.parentNode.parentNode.style.setProperty("margin-"+c.config.displayAlign,"0px","important")}}}var x=l.isFullWidth(w);if(x){y.style.width=y.parentNode.style.width="100%"}y.appendChild(w);if(l.widthBug&&!x){y.style.width=(w.firstChild.scrollWidth/l.ex/l.scale).toFixed(3)+"ex";if(p){p.NativeMML.scrollWidth=w.firstChild.scrollWidth}}if(l.adjustWidths.length){var z=[];for(v=0,r=l.adjustWidths.length;v<r;v++){A=l.adjustWidths[v];var o=A.getAttribute("style")||"";if(!o.match(/(^|;)\s*min-width:/)){var q=A.firstChild.scrollWidth;z.push(q);q=(q/l.ex).toFixed(3)+"ex";o=o.replace(/;?\s*$/,"; ");A.setAttribute("style",o+"min-width:"+q)}}if(!p){p=c.getJaxFor(y)}if(p){p.NativeMML.mtds=z}w.MathJaxMtds=l.adjustWidths;l.adjustWidths=[]}}});f.mfenced.Augment({toNativeMML:function(w){if(!l.mfencedBug){this.SUPER(arguments).toNativeMML.call(this,w);return}var t=c.Browser.isOpera;var u,p,r;var q=this.getValues("open","close","separators");q.open=q.open.replace(/^\s+/,"").replace(/\s+$/,"");q.close=q.close.replace(/^\s+/,"").replace(/\s+$/,"");q.separators=q.separators.replace(/\s+/g,"").split("");if(q.separators.length==0){q.separators=null}else{if(q.separators.length<this.data.length-1){var v=q.separators[q.separators.length-1];for(u=this.data.length-1-q.separators.length;u>0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u<p;u++){if(q.separators&&u>0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(p,o){var q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p<o;p++){q.appendChild(this.data[p].cloneNode(true))}}});f.mi.Augment({toNativeMML:function(p){this.SUPER(arguments).toNativeMML.call(this,p);if(l.miItalicBug){if(this.Get("mathvariant")===f.VARIANT.NORMAL){var o=p.lastChild;o.setAttribute("mathvariant",f.VARIANT.NORMAL)}}}});f.mo.Augment({toNativeMML:function(t){this.SUPER(arguments).toNativeMML.call(this,t);if(l.webkitMoSpacingBug){var o=0,s=0,v=this.parent;if(v&&v.type==="mrow"&&(v.inferred||!v.isEmbellished())){var q=this.getValues("lspace","rspace");o=q.lspace,s=q.rspace;if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}if(l.NAMEDSPACE[s]){s=l.NAMEDSPACE[s]}}var u=t.lastChild;var r=e.Element("span");r.style.cssText=(u.getAttribute("style")||"");r.style.setProperty("-webkit-margin-start",o);r.style.setProperty("-webkit-margin-end",s);u.setAttribute("style",r.style.cssText)}}});f.mmultiscripts.Augment({toNativeMML:function(s){if(!l.mmultiscriptsBug||this.data.length===0){this.SUPER(arguments).toNativeMML.call(this,s);return}var q=this.NativeMMLelement("mrow");this.NativeMMLattributes(q);if(this.data[0]){this.data[0].toNativeMML(q)}else{q.appendChild(this.NativeMMLelement("mrow"))}var t=q.removeChild(q.lastChild);var p=this.data.length,r,o;for(r=1;r<p;r+=2){if(this.data[r].type==="mprescripts"){break}o=this.NativeMMLelement("msubsup");o.appendChild(t);if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}t=o}q.appendChild(t);for(r++;r<p;r+=2){o=this.NativeMMLelement("msubsup");o.appendChild(this.NativeMMLelement("mrow"));if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}q.insertBefore(o,t)}s.appendChild(q)}});c.Register.StartupHook("TeX mathchoice Ready",function(){f.TeXmathchoice.Augment({toNativeMML:function(o){this.Core().toNativeMML(o)}})});setTimeout(MathJax.Callback(["loadComplete",l,"jax.js"]),0)});c.Browser.Select({MSIE:function(m){var n=(document.documentMode||0);l.msieIE8HeightBug=(n===8)},Opera:function(m){l.stretchyMoBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miBug=true;l.mmultiscriptsBug=true},Firefox:function(m){var n=m.versionAtLeast("29.0");l.ffTableWidthBug=!m.versionAtLeast("13.0");l.forceReflow=!n;l.widthBug=!n;l.mtdWidthBug=true;l.handlesVariants=n;l.spaceWidthBug=!m.versionAtLeast("20.0");l.tableSpacingBug=!m.versionAtLeast("33.0");l.tableLabelBug=true;l.mfencedBug=true},Chrome:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Safari:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miItalicBug=true;l.webkitMoSpacingBug=true;l.spaceWidthBug=true;l.mmultiscriptsBug=true}});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
 (function(j,b,d){var i,k=b.Browser.isMobile;var h=MathJax.Object.isArray;var e=function(){var m=[].slice.call(arguments,0);m[0][0]=["HTML-CSS",m[0][0]];return MathJax.Message.Set.apply(MathJax.Message,m)};var f=MathJax.Object.Subclass({timeout:(k?15:8)*1000,comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],FedoraSTIXcheck:{family:"STIXSizeOneSym",testString:"abcABC",noStyleChar:true},Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",width:0,height:0,overflow:"hidden",padding:0,border:0,margin:0}},[["div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto","min-width":0,"max-width":"none",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]]]).firstChild;this.text=this.div.firstChild},findFont:function(r,o){var q=null;if(o&&this.testCollection(o)){q=o}else{for(var p=0,n=r.length;p<n;p++){if(r[p]===o){continue}if(this.testCollection(r[p])){q=r[p];break}}}if(q==="STIX"&&this.testFont(this.FedoraSTIXcheck)){q=null}return q},testCollection:function(n){var m={testString:"() {} []"};m.family={TeX:"MathJax_Size1",STIX:"STIXSizeOneSym"}[n]||n.replace(/-(Math)?/,"")+"MathJax_Size1";if(n==="STIX"){m.noStyleChar=true}return this.testFont(m)},testFont:function(p){if(p.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(p.weight||"normal");this.div.style.fontStyle=(p.style||"normal")}var r=p.familyFixed||p.family;if(!p.isWebFont&&!r.match(/^(STIX|MathJax)|'/)){r=r.replace(/_/g," ").replace(/([a-z])([A-Z])/g,"$1 $2").replace(/ Jax/,"Jax")+"','"+r+"','"+r+"-";if(p.weight){r+="Bold"}if(p.style){r+="Italic"}if(!p.weight&&!p.style){r+="Regular"}p.familyFixed=r="'"+r+"'"}var o=this.getComparisonWidths(p.testString,p.noStyleChar);var s=null;if(o){this.div.style.fontFamily=r+","+this.comparisonFont[0];if(this.div.offsetWidth==o[0]){this.div.style.fontFamily=r+","+this.comparisonFont[o[2]];if(this.div.offsetWidth==o[1]){s=false}}if(s===null&&(this.div.offsetWidth!=o[3]||this.div.offsetHeight!=o[4])){if(!p.noStyleChar&&d.FONTDATA&&d.FONTDATA.hasStyleChar){for(var q=0,n=this.testSize.length;q<n;q++){if(this.testStyleChar(p,this.testSize[q])){s=true;n=0}}}else{s=true}}}if(d.safariTextNodeBug){this.div.innerHTML=""}else{this.text.nodeValue=""}return s},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(p,r){var u=3+(p.weight?2:0)+(p.style?4:0);var o="",q=0;var t=this.div.style.fontSize;this.div.style.fontSize=r;if(d.msieItalicWidthBug&&p.style==="italic"){this.text.nodeValue=o=this.compChar;q=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+o}else{this.text.nodeValue=this.compChar+o}var m=this.div.offsetWidth-q;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+o}else{this.text.nodeValue=this.styleChar+o}var s=Math.floor((this.div.offsetWidth-q)/m+0.5);if(s===u){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+o}else{this.text.nodeValue=this.versionChar+o}p.version=Math.floor((this.div.offsetWidth-q)/m+1.5)/2}this.div.style.fontSize=t;return(s===u)},getComparisonWidths:function(r,p){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!p){r+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=r}else{this.text.nodeValue=r}this.div.style.fontFamily=this.comparisonFont[0];var o=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var t=this.div.offsetWidth,q=this.div.offsetHeight;for(var s=1,n=this.comparisonFont.length;s<n;s++){this.div.style.fontFamily=this.comparisonFont[s];if(this.div.offsetWidth!=o){return[o,this.div.offsetWidth,s,t,q]}}return null},loadWebFont:function(o){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+o.directory);var q=e(["LoadWebFont","Loading web-font %1",d.fontInUse+"/"+o.directory]);var m=MathJax.Callback({});var p=MathJax.Callback(["loadComplete",this,o,q,m]);j.timer.start(j,[this.checkWebFont,o,p],0,this.timeout);return m},loadComplete:function(p,r,o,m){MathJax.Message.Clear(r);if(m===j.STATUS.OK){this.webFontLoaded=true;o();return}this.loadError(p);if(b.Browser.isFirefox&&d.allowWebFonts){var q=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){q+=":"+document.location.port}q+="/";if(j.fileURL(d.webfontDir).substr(0,q.length)!==q){this.firefoxFontError(p)}}if(!this.webFontLoaded){d.loadWebFontError(p,o)}else{o()}},loadError:function(m){e(["CantLoadWebFont","Can't load web font %1",d.fontInUse+"/"+m.directory],null,2000);b.Startup.signal.Post("HTML-CSS Jax - web font error for "+d.fontInUse+"/"+m.directory)},firefoxFontError:function(m){e(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(m,n,o){if(m.time(o)){return}if(d.Font.testFont(n)){o(m.STATUS.OK)}else{setTimeout(m,m.delay)}},fontFace:function(q){var r=d.allowWebFonts;var t=d.FONTDATA.FONTS[q];if(d.msieFontCSSBug&&!t.family.match(/-Web$/)){t.family+="-Web"}if(t.isWebFont){delete t.familyFixed}var m=d.webfontDir+"/"+r;var p=j.fileURL(m);var o=q.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!o.match(/-/)){o+="-Regular"}if(r==="svg"){o+=".svg#"+o}else{o+="."+r}var n=j.fileRev(m+"/"+o.replace(/#.*/,""));var s={"font-family":t.family,src:"url('"+p+"/"+o+n+"')"};if(r==="otf"){o=o.replace(/otf$/,"woff");n=j.fileRev(m+"/"+o);s.src+=" format('opentype')";p=j.fileURL(d.webfontDir+"/woff");s.src="url('"+p+"/"+o+n+"') format('woff'), "+s.src}else{if(r!=="eot"){s.src+=" format('"+r+"')"}}if(!(d.FontFaceBug&&t.isWebFont)){if(q.match(/-bold/)){s["font-weight"]="bold"}if(q.match(/-italic/)){s["font-style"]="italic"}}return s}});var l,a,c;var g=MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<8;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax:focus, body :focus .MathJax":{display:"inline-table"},".MathJax_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax.MathJax_FullWidth":{"text-align":"center",display:(g?"block":"table-cell")+"!important",width:(g?"100%":"10000em")+"!important"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0!important",padding:"0!important",margin:"0!important","vertical-align":"0!important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none","box-sizing":"content-box"},".MathJax nobr":{"white-space":"nowrap!important"},".MathJax img":{display:"inline!important","float":"none!important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_test.mjx-test-display":{display:(g?"block":"table")+"!important"},".MathJax_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".MathJax_em_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60em"},".mjx-test-inline .MathJax_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_right_box":{display:(g?"block":"table-cell")+"!important",width:(g?"100%":"10000em")+"!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1000,fontName:{TeXLocal:"TeX",TeXWeb:["","TeX"],TeXImage:["",""],STIXLocal:["STIX","STIX-Web"],STIXWeb:"STIX-Web",AsanaMathWeb:"Asana-Math",GyrePagellaWeb:"Gyre-Pagella",GyreTermesWeb:"Gyre-Termes",LatinModernWeb:"Latin-Modern",NeoEulerWeb:"Neo-Euler"},fontInUse:"generic",FONTDATA:{TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{},"-largeOp":{},"-smallOp":{}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}},Config:function(){if(!this.require){this.require=[]}this.Font=f();this.SUPER(arguments).Config.call(this);var o=this.settings,n=this.config,m=o.font;if(this.adjustAvailableFonts){this.adjustAvailableFonts(n.availableFonts)}if(o.scale){n.scale=o.scale}if(m&&m!=="Auto"&&this.fontName[m]){n.availableFonts=[];delete n.fonts;if(h(this.fontName[m])){n.preferredFont=this.fontName[m][0];n.webFont=this.fontName[m][1]}else{n.preferredFont=n.webFont=this.fontName[m]}if(n.preferredFont){n.availableFonts[0]=n.preferredFont}}if(n.fonts){n.availableFonts=n.fonts;n.preferredFont=n.webFont=n.fonts[0];if(n.webFont==="STIX"){n.webFont+="-Web"}}m=this.Font.findFont(n.availableFonts,n.preferredFont);if(!m&&this.allowWebFonts){m=n.webFont;if(m){this.webFonts=true}}if(!m&&this.config.imageFont){m=n.imageFont;this.imgFonts=true}if(m){this.fontInUse=m;this.fontDir+="/"+m;this.webfontDir+="/"+m;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{e(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){l=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=l.ContextMenu;this.Mousedown=l.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var n=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(m){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.TestSpan=this.Element("span",{className:"MathJax_test"},[["span",{className:"MathJax_left_box"}],["span",{className:"MathJax_ex_box"}],["span",{className:"MathJax_em_box"}],["span",{className:"MathJax_right_box"}]]);return j.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(p){for(var o=0,n=p.length;o<n;o++){if(p[o]==="STIX"){p.splice(o,1);n--;o--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=p[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var o=0,n=d.config.preloadWebFonts.length;o<n;o++){var p=d.FONTDATA.FONTS[d.config.preloadWebFonts[o]];if(!p.available){d.Font.testFont(p)}}},InitializeHTML:function(){this.PreloadWebFonts();this.getDefaultExEm();if(this.defaultEm){return}var m=MathJax.Callback();j.timer.start(j,function(n){if(n.time(m)){b.signal.Post(["HTML-CSS Jax - no default em size"]);return}d.getDefaultExEm();if(d.defaultEm){m()}else{setTimeout(n,n.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return m},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var m=document.body.appendChild(this.TestSpan.cloneNode(true));m.className+=" mjx-test-inline mjx-test-default";this.defaultEx=m.childNodes[1].offsetHeight/60;this.defaultEm=m.childNodes[2].offsetHeight/60;this.defaultWidth=Math.max(0,m.lastChild.offsetLeft-m.firstChild.offsetLeft-2);document.body.removeChild(m)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,H,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_Display)?( MathJax_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.HTMLCSS={display:(p.root.Get("display")==="block")};C=u=this.Element("span",{className:"MathJax",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:l.Menu,onmousedown:l.Mousedown,onmouseover:l.Mouseover,onmouseout:l.Mouseout,onmousemove:l.Mousemove,onclick:l.Click,ondblclick:l.DblClick,onkeydown:l.Keydown,tabIndex:b.getTabOrder(p)});if(b.Browser.noContextMenu){C.ontouchstart=a.start;C.ontouchend=a.end}if(p.HTMLCSS.display){u=this.Element("div",{className:"MathJax_Display"});u.appendChild(C)}else{if(this.msieDisappearingBug){C.style.display="inline-block"}}u.className+=" MathJax_Processing";G.parentNode.insertBefore(u,G);p.HTMLCSS.span=C;p.HTMLCSS.div=u;E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.HTMLCSS.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;o=E.childNodes[2].offsetHeight/60;A=Math.max(0,p.HTMLCSS.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2);if(F===0||F==="NaN"){B.push(u);p.HTMLCSS.isHidden=true;F=this.defaultEx;o=this.defaultEm;A=this.defaultWidth}if(A===0&&!p.HTMLCSS.display){A=this.defaultWidth}if(t){v=A}H=(this.config.matchFontHeight?F/this.TeX.x_height/o:1);H=Math.floor(Math.max(this.config.minScaleAdjust/100,H)*this.config.scale);p.HTMLCSS.scale=H/100;p.HTMLCSS.fontSize=H+"%";p.HTMLCSS.em=p.HTMLCSS.outerEm=o;this.em=o*H/100;p.HTMLCSS.ex=F;p.HTMLCSS.cwidth=A/this.em;p.HTMLCSS.lineWidth=(q?this.length2em(x,1,v/this.em):1000000)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=r[D].MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.HTMLCSSeqn=s.HTMLCSSlast=0;s.HTMLCSSi=-1;s.HTMLCSSchunk=this.config.EqnChunk;s.HTMLCSSdelay=false},PHASE:{I:1,II:2,III:3},Translate:function(n,r){if(!n.parentNode){return}if(r.HTMLCSSdelay){r.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var m=n.MathJax.elementJax,q=m.root,s=m.HTMLCSS.div,o=m.HTMLCSS.span;if(!document.getElementById(o.id)){return}this.getMetrics(m);if(this.scale!==1){o.style.fontSize=m.HTMLCSS.fontSize}this.initImg(o);this.initHTML(q,o);this.savePreview(n);try{q.setTeXclass();q.toHTML(o,s,this.PHASE.I)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}this.restorePreview(n);throw p}this.restorePreview(n);s.className=s.className.split(/ /)[0]+" MathJax_Processed";b.signal.Post(["New Math Pending",m.inputID]);r.HTMLCSSeqn+=(r.i-r.HTMLCSSi);r.HTMLCSSi=r.i;if(r.HTMLCSSeqn>=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){var n=(v.MathJax.elementJax.HTMLCSS||{}).div;if(n){n.className=n.className.split(/ /)[0]}if(v.MathJax.preview){v.MathJax.preview.innerHTML=""}}}for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){p=v.MathJax.elementJax;this.getMetrics(p);if(p.HTMLCSS.span&&p.HTMLCSS.div){p.root.toHTML(p.HTMLCSS.span,p.HTMLCSS.div,this.PHASE.II)}}}for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){p=v.MathJax.elementJax;this.getMetrics(p);if(p.HTMLCSS.span&&p.HTMLCSS.div){p.root.toHTML(p.HTMLCSS.span,p.HTMLCSS.div,this.PHASE.III);if(p.HTMLCSS.isHidden){v.parentNode.insertBefore(p.HTMLCSS.div,v)}delete p.HTMLCSS.span;delete p.HTMLCSS.div;v.MathJax.state=p.STATE.PROCESSED;b.signal.Post(["New Math",v.MathJax.elementJax.inputID])}}}if(this.forceReflow){var t=(document.styleSheets||[])[0]||{};t.disabled=true;t.disabled=false}o.HTMLCSSlast=o.HTMLCSSeqn},getJaxFromMath:function(m){if(m.parentNode.className.match(/MathJax_Display/)){m=m.parentNode}do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return b.getJaxFor(m)},getHoverSpan:function(m,n){return m.root.HTMLspanElement()},getHoverBBox:function(m,p,q){var r=p.bbox,o=m.HTMLCSS.outerEm;var n={w:r.w*o,h:r.h*o,d:r.d*o};if(r.width){n.width=r.width}return n},Zoom:function(n,y,x,m,v){y.className="MathJax";y.style.fontSize=n.HTMLCSS.fontSize;var B=y.appendChild(this.TestSpan.cloneNode(true));var q=B.childNodes[2].offsetHeight/60;this.em=i.mbase.prototype.em=q;this.outerEm=q/n.HTMLCSS.scale;B.parentNode.removeChild(B);this.scale=n.HTMLCSS.scale;this.linebreakWidth=n.HTMLCSS.lineWidth;this.cwidth=n.HTMLCSS.cwidth;this.zoomScale=parseInt(b.config.menuSettings.zscale)/100;this.idPostfix="-zoom";n.root.toHTML(y,y);this.idPostfix="";this.zoomScale=1;var z=n.root.HTMLspanElement().bbox,p=z.width;if(p){if(z.tw){m=z.tw*q}if(z.w*q<m){m=z.w*q}y.style.width=Math.floor(m-1.5*d.em)+"px";y.style.display="inline-block";var o=(n.root.id||"MathJax-Span-"+n.root.spanID)+"-zoom";var r=document.getElementById(o).firstChild;while(r&&r.style.width!==p){r=r.nextSibling}if(r){var u=r.offsetWidth;r.style.width="100%";if(u>m){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s<p;s++){v=q[s];if(!v){continue}w=v.bbox;u=this.parentNode(v);if(w.exactW||w.width||w.w===0||w.isMultiline||(this.config.noReflows&&w.exactW!==false)){if(!u.bbox){u.bbox=w}continue}if(this.negativeBBoxes||!v.firstChild||(w.w>=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s<p;s++){v=t[s][0];w=v.bbox;u=this.parentNode(v);if((w.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s<p;s++){v=t[s];if(v[1]){v[1].parentNode.removeChild(v[1]),v[0].style.position=v[3]}if(v[2]){v[2].parentNode.removeChild(v[2])}}},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},EmRounded:function(n){if(Math.abs(n)<0.0006){return"0em"}n=(Math.round(n*d.em)+0.05)/d.em;return n.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(n){return parseFloat(n)},Px:function(n){n*=this.em;var o=(n<0?"-":"");return o+Math.abs(n).toFixed(1).replace(/\.?0+$/,"")+"px"},unPx:function(n){return parseFloat(n)/this.em},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(t,o,r){if(typeof(t)!=="string"){t=t.toString()}if(t===""){return""}if(t===i.SIZE.NORMAL){return 1}if(t===i.SIZE.BIG){return 2}if(t===i.SIZE.SMALL){return 0.71}if(t==="infinity"){return d.BIGDIMEN}var q=this.FONTDATA.TeX_factor,u=(d.zoomScale||1)/d.em;if(t.match(/mathspace$/)){return d.MATHSPACE[t]*q}var p=t.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1"),s=p[2];if(r==null){r=1}if(o==null){o=1}if(s==="em"){return n*q}if(s==="ex"){return n*d.TeX.x_height*q}if(s==="%"){return n/100*r}if(s==="px"){return n*u}if(s==="pt"){return n/10*q}if(s==="pc"){return n*1.2*q}if(s==="in"){return n*this.pxPerInch*u}if(s==="cm"){return n*this.pxPerInch*u/2.54}if(s==="mm"){return n*this.pxPerInch*u/25.4}if(s==="mu"){return n/18*q*o}return n*r},thickness2em:function(n,m){var o=d.TeX.rule_thickness;if(n===i.LINETHICKNESS.MEDIUM){return o}if(n===i.LINETHICKNESS.THIN){return 0.67*o}if(n===i.LINETHICKNESS.THICK){return 1.67*o}return this.length2em(n,m,o)},border2em:function(n,m){if(n===i.LINETHICKNESS.THIN){n="1px"}if(n===i.LINETHICKNESS.MEDIUM){n="3px"}if(n===i.LINETHICKNESS.THICK){n="5px"}return this.length2em(n,m)},getPadding:function(n){var p={top:0,right:0,bottom:0,left:0},m=false;for(var q in p){if(p.hasOwnProperty(q)){var o=n.style["padding"+q.charAt(0).toUpperCase()+q.substr(1)];if(o){p[q]=this.length2em(o);m=true}}}return(m?p:false)},getBorders:function(r){var o={top:0,right:0,bottom:0,left:0},p={},n=false;for(var s in o){if(o.hasOwnProperty(s)){var m="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r.style[m+"Style"];if(q){n=true;o[s]=this.border2em(r.style[m+"Width"]||i.LINETHICKNESS.MEDIUM);p[m]=[r.style[m+"Width"],r.style[m+"Style"],r.style[m+"Color"]].join(" ")}}}o.css=p;return(n?o:false)},setBorders:function(m,n){if(n){for(var o in n.css){if(n.css.hasOwnProperty(o)){m.style[o]=n.css[o]}}}},createStrut:function(o,n,p){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:n+"px",width:"1px",marginRight:"-1px"}});if(p){o.insertBefore(m,o.firstChild)}else{o.appendChild(m)}return m},createBlank:function(n,m,o){var p=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(m)}});if(m<0){p.style.marginRight=p.style.width;p.style.width=0}if(o){n.insertBefore(p,n.firstChild)}else{n.appendChild(p)}return p},createShift:function(n,m,p){var o=this.Element("span",{style:{marginLeft:this.Em(m)},isMathJax:true});if(p){n.insertBefore(o,n.firstChild)}else{n.appendChild(o)}return o},createSpace:function(r,p,q,s,o,u){if(p<-q){q=-p}var t=this.Em(p+q),m=this.Em(-q);if(this.msieInlineBlockAlignBug){m=this.Em(d.getHD(r.parentNode,true).d-q)}if(r.isBox||u){var n=(r.scale==null?1:r.scale);r.bbox={exactW:true,h:p*n,d:q*n,w:s*n,rw:s*n,lw:0};r.style.height=t;r.style.verticalAlign=m;r.HH=(p+q)*n}else{r=this.addElement(r,"span",{style:{height:t,verticalAlign:m},isMathJax:true})}if(s>=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em<o){u=o/this.em}if(p+r>0&&(p+r)*this.em<o){q=1/(p+r)*(o/this.em);p*=q;r*=q}if(!n){n="solid"}else{n="solid "+n}var m={display:"inline-block",overflow:"hidden",verticalAlign:this.Em(-r)};if(u>p+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(x<r){x=r}if(s+u<r){s=r-u}}if(this.msieBorderWidthBug){r=0}var y=this.Em(s+u-r),m=this.Em(-u-z),q=this.Em(x-r);var o=this.Px(z)+" "+n;var p=this.addElement(v,"span",{style:{border:o,display:"inline-block",overflow:"hidden",width:q,height:y},bbox:{h:s,d:u,w:x,rw:x,lw:0,exactW:true},noAdjust:true,HH:s+u,isMathJax:true});if(m){p.style.verticalAlign=m}return p},parentNode:function(n){var m=n.parentNode;if(m.nodeName.toLowerCase()==="a"){m=m.parentNode}return m},createStack:function(o,q,n){if(this.msiePaddingWidthBug){this.createStrut(o,0)}var p=String(n).match(/%$/);var m=(!p&&n!=null?n:0);o=this.addElement(o,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(p?"100%":this.Em(m)),height:0}});if(!q){o.parentNode.bbox=o.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:m,lw:this.BIGDIMEN,rw:(!p&&n!=null?n:-this.BIGDIMEN)};if(p){o.bbox.width=n}}return o},createBox:function(n,m){var o=this.addElement(n,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(m!=null){o.style.width=m}return o},addBox:function(m,n){n.style.position="absolute";n.isBox=n.isMathJax=true;return m.appendChild(n)},placeBox:function(w,v,u,q){w.isMathJax=true;var z=d.parentNode(w),F=w.bbox,B=z.bbox;if(this.msiePlaceBoxBug){this.addText(w,this.NBSP)}if(this.imgSpaceBug){this.addText(w,this.imgSpace)}var A,I=0;if(w.HH!=null){A=w.HH}else{if(F){var o=w.firstChild;A=Math.max(3,3*(o?o.scale||1:1),F.h+F.d)}else{A=w.offsetHeight/this.em}}if(!w.noAdjust){A+=1;A=Math.round(A*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(w,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(A)}})}else{this.addElement(w,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(A)}});if(d.chromeHeightBug){A-=(w.lastChild.offsetHeight-Math.round(A*this.em))/this.em}}}if(F){if(this.initialSkipBug){if(F.lw<0){I=F.lw;d.createBlank(w,-I,true)}if(F.rw>F.w){d.createBlank(w,F.rw-F.w+0.1)}}if(!this.msieClipRectBug&&!F.noclip&&!q){var E=3/this.em;var C=(F.H==null?F.h:F.H),n=(F.D==null?F.d:F.D);var G=A-C-E,s=A+n+E,p=-1000,m=F.rw+1000;w.style.clip="rect("+this.Em(G)+" "+this.Em(m)+" "+this.Em(s)+" "+this.Em(p)+")"}}w.style.top=this.Em(-u-A);w.style.left=this.Em(v+I);if(F&&B){if(F.H!=null&&(B.H==null||F.H+u>B.H)){B.H=F.H+u}if(F.D!=null&&(B.D==null||F.D-u>B.D)){B.D=F.D-u}if(F.h+u>B.h){B.h=F.h+u}if(F.d-u>B.d){B.d=F.d-u}if(B.H!=null&&B.H<=B.h){delete B.H}if(B.D!=null&&B.D<=B.d){delete B.D}if(F.w+v>B.w){B.w=F.w+v;if(B.width==null){z.style.width=this.Em(B.w)}}if(F.rw+v>B.rw){B.rw=F.rw+v}if(F.lw+v<B.lw){B.lw=F.lw+v}if(F.width!=null&&!F.isFixed){if(B.width==null){z.style.width=B.width="100%";if(F.minWidth){z.style.minWidth=B.minWidth=F.minWidth}}w.style.width=F.width}if(F.tw){B.tw=F.tw}}},alignBox:function(t,p,s,x,w){if(x==null){x=0}this.placeBox(t,x,s);if(this.msiePlaceBoxBug){var n=t.lastChild;while(n&&n.nodeName!=="#text"){n=n.previousSibling}if(n){t.removeChild(n)}}var v=t.bbox;if(v.isMultiline&&!w){return}var u=v.width!=null&&!v.isFixed;var m=0,q=x-v.w/2,o="50%";if(this.initialSkipBug){m=v.w-v.rw-0.1;q+=v.lw}if(this.msieMarginScaleBug){q=(q*this.em)+"px"}else{q=this.Em(q)}if(u){q=(x===0?"":this.Em(x));o=(50-parseFloat(v.width)/2)+"%"}b.Insert(t.style,({right:{left:"",right:this.Em(m-x)},center:{left:o,marginLeft:q}})[p])},setStackWidth:function(n,m){if(typeof(m)==="number"){n.style.width=this.Em(Math.max(0,m));var o=n.bbox;if(o){o.w=m;o.exactW=true}o=n.parentNode.bbox;if(o){o.w=m;o.exactW=true}}else{n.style.width=n.parentNode.style.width="100%";if(n.bbox){n.bbox.width=m}if(n.parentNode.bbox){n.parentNode.bbox.width=m}}},createDelimiter:function(w,n,p,s,q){if(!n){w.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};w.bbox.rw=w.bbox.w;this.createSpace(w,w.bbox.h,w.bbox.d,w.bbox.w);return}if(!s){s=1}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){b.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var u=0,r=o.HW.length;u<r;u++){if(o.HW[u][0]*s>=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&u<C*F.min){u=C*F.min}if(u>C){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&p<v*F.min){p=v*F.min}if(p>v){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}u-=D.bbox.lw;this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s<o;s++){v+=String.fromCharCode(r[0][s])}}else{v=String.fromCharCode(r[0])}if(r[4]){p*=r[4]}if(p!==1||r[3]){t=this.addElement(u,"span",{style:{fontSize:this.Percent(p)},scale:p,isMathJax:true});this.handleVariant(t,q,v);u.bbox=t.bbox}else{this.handleVariant(u,q,v)}if(r[2]){u.style.marginLeft=this.Em(r[2])}if(r[3]){u.firstChild.style.verticalAlign=this.Em(r[3]);u.bbox.h+=r[3];if(u.bbox.h<0){u.bbox.h=0}}if(r[5]){u.bbox.h+=r[5]}if(r[6]){u.bbox.d+=r[6]}if(this.AccentBug&&u.bbox.w===0){t.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(n,m){m-=n.bbox.h;n.bbox.d-=m;n.bbox.h+=m;if(m){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&n.isMultiChar)){if(n.firstChild.style.display===""&&n.style.top!==""){n=n.firstChild;m-=d.unEm(n.style.top)}n.style.position="relative";n.style.top=this.Em(-m)}else{n.style.verticalAlign=this.Em(m);if(d.ffVerticalAlignBug){d.createRule(n.parentNode,n.bbox.h,0,0);delete n.parentNode.bbox}}}},handleVariant:function(B,q,t){var A="",y,D,u,E,o=B,p=!!B.style.fontFamily;if(t.length===0){return}if(!B.bbox){B.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!q){q=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}E=q;for(var C=0,z=t.length;C<z;C++){q=E;y=t.charCodeAt(C);D=t.charAt(C);if(y>=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v<s;v++){if(w[v].name==="alpha"&&q.noLowerCase){continue}var r=q["offset"+w[v].offset];if(r&&y>=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{if(w[v].remapOnly){break}y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000<B.bbox.lw){B.bbox.lw=B.bbox.w+D[3]/1000}if(B.bbox.w+D[4]/1000>B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(d.isChar(t)&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(((m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)||(this.FontFaceBug&&n.fontFamily!=="")))},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||(!this.msieAccentBug&&!this.combiningCharBug)||s.length){return s+r.c}if(this.combiningCharBug){d.addElement(o,"span",{style:{marginLeft:d.Em(u[3]/1000)}},[r.c]);return""}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]]);t[s[q]].name=s[q]}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){if(p[u].length===5){p[u][5]={}}if(d.allowWebFonts&&!p.available){this.loadWebFont(p)}else{return p}}else{this.findBlock(p,u)}}return this.unknownChar(r,u)},unknownChar:function(m,p){var o=(m.defaultFont||{family:d.config.undefinedFamily});if(m.bold){o.weight="bold"}if(m.italic){o.style="italic"}if(!o[p]){o[p]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",p,m]);return o},isChar:function(m){if(m.length===1){return true}if(m.length!==2){return false}var o=m.charCodeAt(0);return(o>=55296&&o<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);j.Require(this.directory+"/imageFonts.js",m)}else{this.allowWebFonts=false;m()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.type!="mrow"){q=this.HTMLhandleSize(q)}for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q)}}var u=this.HTMLcomputeBBox(q);var p=q.bbox.h,t=q.bbox.d,r=false,s;for(o=0,n=u.length;o<n;o++){s=u[o].HTMLspanElement().bbox;if(u[o].forceStretch||s.h!==p||s.d!==t){u[o].HTMLstretchV(q,p,t);r=true}else{if(u[o].needsBBox){r=true}}}if(r){this.HTMLcomputeBBox(q,true)}if(this.HTMLlineBreaks(q)){q=this.HTMLmultiline(q)}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);if(this.data.length===1&&this.data[0]){s=this.data[0].HTMLspanElement().bbox;if(s.skew){q.bbox.skew=s.skew}}return q},HTMLlineBreaks:function(){return false},HTMLmultiline:function(){i.mbase.HTMLautoloadFile("multiline")},HTMLcomputeBBox:function(s,r,q,n){if(q==null){q=0}if(n==null){n=this.data.length}var p=s.bbox={exactW:true},t=[];while(q<n){var o=this.data[q];if(!o){continue}if(!r&&o.HTMLcanStretch("Vertical")){t.push(o);o=(o.CoreMO()||o);t[t.length-1].needsBBox=(o!==this.data[q])}this.HTMLcombineBBoxes(o,p);q++}this.HTMLcleanBBox(p);return t},HTMLcombineBBoxes:function(m,n){if(n.w==null){this.HTMLemptyBBox(n)}var p=(m.bbox?m:m.HTMLspanElement());if(!p||!p.bbox){return}var o=p.bbox;if(o.d>n.d){n.d=o.d}if(o.h>n.h){n.h=o.h}if(o.D!=null&&o.D>n.D){n.D=o.D}if(o.H!=null&&o.H>n.H){n.H=o.H}if(p.style.paddingLeft){n.w+=d.unEm(p.style.paddingLeft)*(p.scale||1)}if(n.w+o.lw<n.lw){n.lw=n.w+o.lw}if(n.w+o.rw>n.rw){n.rw=n.w+o.rw}n.w+=o.w;if(p.style.paddingRight){n.w+=d.unEm(p.style.paddingRight)*(p.scale||1)}if(o.width){n.width=o.width;n.minWidth=o.minWidth}if(o.tw){n.tw=o.tw}if(o.ic){n.ic=o.ic}else{delete n.ic}if(n.exactW&&!o.exactW){n.exactW=o.exactW}},HTMLemptyBBox:function(m){m.h=m.d=m.H=m.D=m.rw=-d.BIGDIMEN;m.w=0;m.lw=d.BIGDIMEN;return m},HTMLcleanBBox:function(m){if(m.h===this.BIGDIMEN){m.h=m.d=m.H=m.D=m.w=m.rw=m.lw=0}if(m.D<=m.d){delete m.D}if(m.H<=m.h){delete m.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(n){if(this.isEmbellished()){var m=this.Core();if(m&&m!==this){return m.HTMLcanStretch(n)}}return false},HTMLstretchH:function(n,m){return this.HTMLspanElement()},HTMLstretchV:function(n,m,o){return this.HTMLspanElement()},HTMLnotEmpty:function(m){while(m){if((m.type!=="mrow"&&m.type!=="texatom")||m.data.length>1){return true}m=m.data[0]}return false},HTMLmeasureChild:function(o,m){if(this.data[o]){d.Measured(this.data[o].toHTML(m),m)}else{m.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(o,m){if(!this.data[o]){this.SetData(o,i.mrow())}return this.data[o].toHTML(m)},HTMLcreateSpan:function(m){if(this.spanID){var n=this.HTMLspanElement();if(n&&(n.parentNode===m||(n.parentNode||{}).parentNode===m)){while(n.firstChild){n.removeChild(n.firstChild)}n.bbox=this.HTMLzeroBBox();n.scale=1;n.isMultChar=n.HH=null;n.style.cssText="";return n}}if(this.href){m=d.addElement(m,"a",{href:this.href,isMathJax:true})}m=d.addElement(m,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){m.style.display="inline-block"}if(this["class"]){m.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}m.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;m.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){m.style.cssText=this.style;if(m.style.fontSize){this.mathsize=m.style.fontSize;m.style.fontSize=""}this.styles={border:d.getBorders(m),padding:d.getPadding(m)};if(this.styles.border){m.style.border=""}if(this.styles.padding){m.style.padding=""}}if(this.href){m.parentNode.bbox=m.bbox}this.HTMLaddAttributes(m);return m},HTMLaddAttributes:function(p){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=b.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var o=0,n=u.length;o<n;o++){var s=u[o];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(p[s])==="undefined")){p.setAttribute(s,this.attr[s])}}}},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+d.idPostfix)},HTMLhandleVariant:function(n,m,o){d.handleVariant(n,m,o)},HTMLhandleSize:function(m){if(!m.scale){m.scale=this.HTMLgetScale();if(m.scale!==1){m.style.fontSize=d.Percent(m.scale)}}return m},HTMLhandleDir:function(n){var m=this.Get("dir",true);if(m){n.dir=m}return n},HTMLhandleColor:function(y){var A=this.getValues("mathcolor","color");if(this.mathbackground){A.mathbackground=this.mathbackground}if(this.background){A.background=this.background}if(this.style&&y.style.backgroundColor){A.mathbackground=y.style.backgroundColor;y.style.backgroundColor="transparent"}var v=(this.styles||{}).border,x=(this.styles||{}).padding;if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.background&&!this.mathbackground){A.mathbackground=A.background}if(A.mathcolor){y.style.color=A.mathcolor}if((A.mathbackground&&A.mathbackground!==i.COLOR.TRANSPARENT)||v||x){var C=y.bbox,B=(C.exact?0:1/d.em),w=0,u=0,o=y.style.paddingLeft,s=y.style.paddingRight;if(this.isToken){w=C.lw;u=C.rw-C.w}if(o!==""){w+=d.unEm(o)*(y.scale||1)}if(s!==""){u-=d.unEm(s)*(y.scale||1)}var n=(d.PaddingWidthBug||C.keepPadding||C.exactW?0:u-w);var q=Math.max(0,d.getW(y)+n);var z=C.h+C.d,m=-C.d,t=0,r=0;if(q>0){q+=2*B;w-=B}if(z>0){z+=2*B;m-=B}u=-q-w;if(v){u-=v.right;m-=v.bottom;t+=v.left;r+=v.right;C.h+=v.top;C.d+=v.bottom;C.w+=v.left+v.right;C.lw-=v.left;C.rw+=v.right}if(x){z+=x.top+x.bottom;q+=x.left+x.right;u-=x.right;m-=x.bottom;t+=x.left;r+=x.right;C.h+=x.top;C.d+=x.bottom;C.w+=x.left+x.right;C.lw-=x.left;C.rw+=x.right}if(r){y.style.paddingRight=d.Em(r)}var p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var m=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(m){m.parentNode.removeChild(m)}},HTMLhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var o=this.getValues("scriptlevel","lspace","rspace");if(o.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var n=this.HTMLgetMu(q);o.lspace=Math.max(0,d.length2em(o.lspace,n));o.rspace=Math.max(0,d.length2em(o.rspace,n));var m=this,p=this.Parent();while(p&&p.isEmbellished()&&p.Core()===m){m=p;p=p.Parent();q=m.HTMLspanElement()}if(o.lspace){q.style.paddingLeft=d.Em(o.lspace)}if(o.rspace){q.style.paddingRight=d.Em(o.rspace)}}}else{var r=this.texSpacing();if(r!==""){this.HTMLgetScale();r=d.length2em(r,this.scale)/(q.scale||1)*this.mscale;if(q.style.paddingLeft){r+=d.unEm(q.style.paddingLeft)}q.style.paddingLeft=d.Em(r)}}},HTMLgetScale:function(){if(this.scale){return this.scale*this.mscale}var o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o<m.scriptminsize){o=m.scriptminsize}}this.scale=o;this.mscale=d.length2em(m.mathsize);return o*this.mscale},HTMLgetMu:function(o){var m=1,n=this.getValues("scriptlevel","scriptsizemultiplier");if(o.scale&&o.scale!==1){m=1/o.scale}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n in d.FONTDATA.VARIANT)){n="normal"}return d.FONTDATA.VARIANT[n]},HTMLdrawBBox:function(m){var o=m.bbox;var n=d.Element("span",{style:{"font-size":m.style.fontSize,display:"inline-block",opacity:0.25,"margin-left":d.Em(-o.w)}},[["span",{style:{height:d.Em(o.h),width:d.Em(o.w),"background-color":"red",display:"inline-block"}}],["span",{style:{height:d.Em(o.d),width:d.Em(o.w),"margin-left":d.Em(-o.w),"vertical-align":d.Em(-o.d),"background-color":"green",display:"inline-block"}}]]);if(m.nextSibling){m.parentNode.insertBefore(n,m.nextSibling)}else{m.parentNode.appendChild(n)}}},{HTMLautoload:function(){this.constructor.Augment({toHTML:i.mbase.HTMLautoloadFail});var m=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(j.Require(m))},HTMLautoloadFail:function(){throw Error("HTML-CSS can't autoload '"+this.type+"'")},HTMLautoloadList:{},HTMLautoloadFile:function(m){if(i.mbase.HTMLautoloadList.hasOwnProperty(m)){throw Error("HTML-CSS can't autoload file '"+m+"'")}i.mbase.HTMLautoloadList[m]=true;var n=d.autoloadDir+"/"+m+".js";b.RestartAfter(j.Require(n))},HTMLstretchH:function(n,m){this.HTMLremoveColor();return this.toHTML(n,m)},HTMLstretchV:function(n,m,o){this.HTMLremoveColor();return this.toHTML(n,m,o)}});i.chars.Augment({toHTML:function(p,o,n,q){var t=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}p.bbox=null;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.entity.Augment({toHTML:function(p,o,n,q){var t=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}delete p.bbox;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.mi.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));q.bbox=null;var p=this.HTMLgetVariant();for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q,p)}}if(!q.bbox){q.bbox=this.HTMLzeroBBox()}var s=this.data.join(""),r=q.bbox;if(r.skew&&!d.isChar(s)){delete r.skew}if(r.rw>r.w&&d.isChar(s)&&!p.noIC){r.ic=r.rw-r.w;d.createBlank(q,r.ic/this.mscale);r.w=r.rw}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.mn.Augment({HTMLremapMinus:function(m){return m.replace(/^-/,"\u2212")},toHTML:function(r){r=this.HTMLhandleSize(this.HTMLcreateSpan(r));r.bbox=null;var q=this.HTMLgetVariant();var p=this.HTMLremapMinus;for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(r,q,p);p=null}}if(!r.bbox){r.bbox=this.HTMLzeroBBox()}if(!d.isChar(this.data.join(""))){delete r.bbox.skew}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);this.HTMLhandleDir(r);return r}});i.mo.Augment({toHTML:function(x){x=this.HTMLhandleSize(this.HTMLcreateSpan(x));if(this.data.length==0){return x}else{x.bbox=null}var A=this.data.join("");var s=this.HTMLgetVariant();var z=this.getValues("largeop","displaystyle");if(z.largeop){s=d.FONTDATA.VARIANT[z.displaystyle?"-largeOp":"-smallOp"]}var y=this.CoreParent(),r=(y&&y.isa(i.msubsup)&&this!==y.data[y.base]),o=(r?this.remapChars:null);if(d.isChar(A)&&y&&y.isa(i.munderover)&&d.isChar(this.CoreText(y.data[y.base]))){var u=y.data[y.over],w=y.data[y.under];if(u&&this===u.CoreMO()&&y.Get("accent")){o=d.FONTDATA.REMAPACCENT}else{if(w&&this===w.CoreMO()&&y.Get("accentunder")){o=d.FONTDATA.REMAPACCENTUNDER}}}if(r&&A.match(/['`"\u00B4\u2032-\u2037\u2057]/)){s=d.FONTDATA.VARIANT["-"+d.fontInUse+"-variant"]}for(var t=0,q=this.data.length;t<q;t++){if(this.data[t]){this.data[t].toHTML(x,s,this.remap,o)}}if(!x.bbox){x.bbox=this.HTMLzeroBBox()}if(!d.isChar(A)){delete x.bbox.skew}if(d.AccentBug&&x.bbox.w===0&&d.isChar(A)&&x.firstChild){x.firstChild.nodeValue+=d.NBSP;d.createSpace(x,0,0,-x.offsetWidth/d.em)}if(z.largeop){var v=d.TeX.axis_height*this.scale*this.mscale;var n=(x.bbox.h-x.bbox.d)/2-v;if(d.safariVerticalAlignBug&&x.lastChild.nodeName==="IMG"){x.lastChild.style.verticalAlign=d.Em(d.unEm(x.lastChild.style.verticalAlign||0)/d.em-n/x.scale)}else{if(d.konquerorVerticalAlignBug&&x.lastChild.nodeName==="IMG"){x.style.position="relative";x.lastChild.style.position="relative";x.lastChild.style.top=d.Em(n/x.scale)}else{x.style.verticalAlign=d.Em(-n/x.scale)}}x.bbox.h-=n;x.bbox.d+=n;if(x.bbox.rw>x.bbox.w){x.bbox.ic=x.bbox.rw-x.bbox.w;d.createBlank(x,x.bbox.ic/this.mscale);x.bbox.w=x.bbox.rw}}this.HTMLhandleSpace(x);this.HTMLhandleColor(x);this.HTMLhandleDir(x);return x},HTMLcanStretch:function(q){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&d.isChar(this.CoreText(o.data[o.base]))){var p=o.data[o.over],n=o.data[o.under];if(p&&this===p.CoreMO()&&o.Get("accent")){r=d.FONTDATA.REMAPACCENT[r]||r}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=d.FONTDATA.REMAPACCENTUNDER[r]||r}}}r=d.FONTDATA.DELIMITERS[r.charCodeAt(0)];var m=(r&&r.dir===q.substr(0,1));this.forceStretch=(m&&(this.Get("minsize",true)||this.Get("maxsize",true)));return m},HTMLstretchV:function(o,p,q){this.HTMLremoveColor();var t=this.getValues("symmetric","maxsize","minsize");var r=this.HTMLspanElement(),u=this.HTMLgetMu(r),s;var n=this.HTMLgetScale(),m=d.TeX.axis_height*n;if(t.symmetric){s=2*Math.max(p-m,q+m)}else{s=p+q}t.maxsize=d.length2em(t.maxsize,u,r.bbox.h+r.bbox.d);t.minsize=d.length2em(t.minsize,u,r.bbox.h+r.bbox.d);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!=t.minsize){s=[Math.max(s*d.TeX.delimiterfactor/1000,s-d.TeX.delimitershortfall),s]}r=this.HTMLcreateSpan(o);d.createDelimiter(r,this.data.join("").charCodeAt(0),s,n);if(t.symmetric){s=(r.bbox.h+r.bbox.d)/2+m}else{s=(r.bbox.h+r.bbox.d)*p/(p+q)}d.positionDelimiter(r,s);this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLstretchH:function(q,m){this.HTMLremoveColor();var o=this.getValues("maxsize","minsize","mathvariant","fontweight");if((o.fontweight==="bold"||parseInt(o.fontweight)>=600)&&!this.Get("mathvariant",true)){o.mathvariant=i.VARIANT.BOLD}var p=this.HTMLspanElement(),n=this.HTMLgetMu(p),r=p.scale;o.maxsize=d.length2em(o.maxsize,n,p.bbox.w);o.minsize=d.length2em(o.minsize,n,p.bbox.w);m=Math.max(o.minsize,Math.min(o.maxsize,m));p=this.HTMLcreateSpan(q);d.createDelimiter(p,this.data.join("").charCodeAt(0),m,r,o.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});i.mtext.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));var p=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){var r=this.Get("mathvariant");if(r==="monospace"){q.className+=" MJX-monospace"}else{if(r.match(/sans-serif/)){q.className+=" MJX-sans-serif"}}p={bold:p.bold,italic:p.italic,fontInherit:true}}for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q,p)}}if(!q.bbox){q.bbox=this.HTMLzeroBBox()}if(!d.isChar(this.data.join(""))){delete q.bbox.skew}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.merror.Augment({toHTML:function(n){var p=MathJax.HTML.addElement(n,"span",{style:{display:"inline-block"}});n=this.SUPER(arguments).toHTML.call(this,p);var o=d.getHD(p),m=d.getW(p);p.bbox={h:o.h,d:o.d,w:m,lw:0,rw:m,exactW:true};p.id=n.id;n.id=null;return p}});i.ms.Augment({toHTML:i.mbase.HTMLautoload});i.mglyph.Augment({toHTML:i.mbase.HTMLautoload});i.mspace.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);var o=this.getValues("height","depth","width");var n=this.HTMLgetMu(q);this.HTMLgetScale();o.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){o.mathbackground=this.background}var p=d.length2em(o.height,n)*this.mscale,r=d.length2em(o.depth,n)*this.mscale,m=d.length2em(o.width,n)*this.mscale;d.createSpace(q,p,r,m,o.mathbackground,true);return q}});i.mphantom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){var r=this.data[0].toHTML(q);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(q,o,s),q)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(q,o),q)}else{r=d.Measured(r,q)}}q.bbox={w:r.bbox.w,h:r.bbox.h,d:r.bbox.d,lw:0,rw:0,exactW:true};for(var p=0,n=q.childNodes.length;p<n;p++){q.childNodes[p].style.visibility="hidden"}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mpadded.Augment({toHTML:function(u,o,m){u=this.HTMLcreateSpan(u);if(this.data[0]!=null){var s=d.createStack(u,true);var p=d.createBox(s);var n=this.data[0].toHTML(p);if(m!=null){d.Remeasured(this.data[0].HTMLstretchV(p,o,m),p)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(p,o),p)}else{d.Measured(n,p)}}var v=this.getValues("height","depth","width","lspace","voffset"),t=0,r=0,w=this.HTMLgetMu(u);this.HTMLgetScale();if(v.lspace){t=this.HTMLlength2em(p,v.lspace,w)}if(v.voffset){r=this.HTMLlength2em(p,v.voffset,w)}d.placeBox(p,t,r);t/=this.mscale;r/=this.mscale;u.bbox={h:p.bbox.h,d:p.bbox.d,w:p.bbox.w,exactW:true,lw:p.bbox.lw+t,rw:p.bbox.rw+t,H:Math.max((p.bbox.H==null?-d.BIGDIMEN:p.bbox.H+r),p.bbox.h+r),D:Math.max((p.bbox.D==null?-d.BIGDIMEN:p.bbox.D-r),p.bbox.d-r)};if(v.height!==""){u.bbox.h=this.HTMLlength2em(p,v.height,w,"h",0)}if(v.depth!==""){u.bbox.d=this.HTMLlength2em(p,v.depth,w,"d",0)}if(v.width!==""){u.bbox.w=this.HTMLlength2em(p,v.width,w,"w",0)}if(u.bbox.H<=u.bbox.h){delete u.bbox.H}if(u.bbox.D<=u.bbox.d){delete u.bbox.D}var q=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;u.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||q.exec(v.height)||q.exec(v.width)||q.exec(v.depth));d.setStackWidth(s,u.bbox.w)}this.HTMLhandleSpace(u);this.HTMLhandleColor(u);return u},HTMLlength2em:function(s,t,o,u,n){if(n==null){n=-d.BIGDIMEN}var q=String(t).match(/width|height|depth/);var r=(q?s.bbox[q[0].charAt(0)]:(u?s.bbox[u]:0));var p=d.length2em(t,o,r/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,s.bbox[u]+p)}else{return p}},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mrow.Augment({HTMLlineBreaks:function(m){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&m.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(o,m){this.HTMLremoveColor();var n=this.HTMLspanElement();this.data[this.core].HTMLstretchH(n,m);this.HTMLcomputeBBox(n,true);this.HTMLhandleColor(n);return n},HTMLstretchV:function(o,n,p){this.HTMLremoveColor();var m=this.HTMLspanElement();this.data[this.core].HTMLstretchV(m,n,p);this.HTMLcomputeBBox(m,true);this.HTMLhandleColor(m);return m}});i.mstyle.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mfrac.Augment({toHTML:function(F){F=this.HTMLcreateSpan(F);var o=d.createStack(F);var w=d.createBox(o),s=d.createBox(o);d.MeasureSpans([this.HTMLboxChild(0,w),this.HTMLboxChild(1,s)]);var m=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var K=this.HTMLgetScale(),E=m.displaystyle;var J=d.TeX.axis_height*K;if(m.bevelled){var I=(E?0.4:0.15);var x=Math.max(w.bbox.h+w.bbox.d,s.bbox.h+s.bbox.d)+2*I;var G=d.createBox(o);d.createDelimiter(G,47,x);d.placeBox(w,0,(w.bbox.d-w.bbox.h)/2+J+I);d.placeBox(G,w.bbox.w-I/2,(G.bbox.d-G.bbox.h)/2+J);d.placeBox(s,w.bbox.w+G.bbox.w-I,(s.bbox.d-s.bbox.h)/2+J-I)}else{var n=Math.max(w.bbox.w,s.bbox.w);var A=d.thickness2em(m.linethickness,this.scale)*this.mscale,C,B,z,y;var D=d.TeX.min_rule_thickness/this.em;if(E){z=d.TeX.num1;y=d.TeX.denom1}else{z=(A===0?d.TeX.num3:d.TeX.num2);y=d.TeX.denom2}z*=K;y*=K;if(A===0){C=Math.max((E?7:3)*d.TeX.rule_thickness,2*D);B=(z-w.bbox.d)-(s.bbox.h-y);if(B<C){z+=(C-B)/2;y+=(C-B)/2}}else{C=Math.max((E?2:0)*D+A,A/2+1.5*D);B=(z-w.bbox.d)-(J+A/2);if(B<C){z+=C-B}B=(J-A/2)-(s.bbox.h-y);if(B<C){y+=C-B}var r=d.createBox(o);d.createRule(r,A,0,n+2*A);d.placeBox(r,0,J-A/2)}d.alignBox(w,m.numalign,z,0,true);d.alignBox(s,m.denomalign,-y,0,true)}this.HTMLhandleSpace(F);this.HTMLhandleColor(F);return F},HTMLcanStretch:function(m){return false},HTMLhandleSpace:function(n){if(!this.texWithDelims){var o=d.TeX.nulldelimiterspace*this.mscale;var m=n.childNodes[d.msiePaddingWidthBug?1:0].style;m.marginLeft=m.marginRight=d.Em(o);n.bbox.w+=2*o;n.bbox.rw+=2*o}this.SUPER(arguments).HTMLhandleSpace.call(this,n)}});i.msqrt.Augment({toHTML:function(z){z=this.HTMLcreateSpan(z);var B=d.createStack(z);var r=d.createBox(B),w=d.createBox(B),v=d.createBox(B);var u=this.HTMLgetScale();var C=d.TeX.rule_thickness*u,o,n,A,s;if(this.Get("displaystyle")){o=d.TeX.x_height*u}else{o=C}n=Math.max(C+o/4,1.5*d.TeX.min_rule_thickness/this.em);var m=this.HTMLboxChild(0,r);A=m.bbox.h+m.bbox.d+n+C;d.createDelimiter(v,8730,A,u);d.MeasureSpans([m,v]);s=m.bbox.w;var y=0;if(v.isMultiChar||(d.AdjustSurd&&d.imgFonts)){v.bbox.w*=0.95}if(v.bbox.h+v.bbox.d>A){n=((v.bbox.h+v.bbox.d)-(A-C))/2}var D=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!D||s<(D.HW[0]||[0])[0]*u||u<0.75){d.createRule(w,0,C,s);w.bbox.h=-C}else{d.createDelimiter(w,d.FONTDATA.RULECHAR,s,u)}A=m.bbox.h+n+C;n=A*d.rfuzz;if(v.isMultiChar){n=d.rfuzz}y=this.HTMLaddRoot(B,v,y,v.bbox.h+v.bbox.d-A,u);d.placeBox(v,y,A-v.bbox.h);d.placeBox(w,y+v.bbox.w,A-w.bbox.h+n);d.placeBox(r,y+v.bbox.w,0);this.HTMLhandleSpace(z);this.HTMLhandleColor(z);return z},HTMLaddRoot:function(o,n,m,q,p){return m}});i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(u,n,s,q,m){var o=d.createBox(u);if(this.data[1]){var r=this.data[1].toHTML(o);r.style.paddingRight=r.style.paddingLeft="";d.Measured(r,o)}else{o.bbox=this.HTMLzeroBBox()}var p=this.HTMLrootHeight(n.bbox.h+n.bbox.d,m,o)-q;var t=Math.min(o.bbox.w,o.bbox.rw);s=Math.max(t,n.offset);d.placeBox(o,s-t,p);return s-n.offset},HTMLrootHeight:function(o,n,m){return 0.45*(o-0.9*n)+0.6*n+Math.max(0,m.bbox.d-0.075)}});i.mfenced.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.data.open){this.data.open.toHTML(q)}if(this.data[0]!=null){this.data[0].toHTML(q)}for(var o=1,n=this.data.length;o<n;o++){if(this.data[o]){if(this.data["sep"+o]){this.data["sep"+o].toHTML(q)}this.data[o].toHTML(q)}}if(this.data.close){this.data.close.toHTML(q)}var s=this.HTMLcomputeBBox(q);var p=q.bbox.h,r=q.bbox.d;for(o=0,n=s.length;o<n;o++){s[o].HTMLstretchV(q,p,r)}if(s.length){this.HTMLcomputeBBox(q,true)}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLcomputeBBox:function(r,q){var o=r.bbox={},s=[];this.HTMLcheckStretchy(this.data.open,o,s,q);this.HTMLcheckStretchy(this.data[0],o,s,q);for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){this.HTMLcheckStretchy(this.data["sep"+p],o,s,q);this.HTMLcheckStretchy(this.data[p],o,s,q)}}this.HTMLcheckStretchy(this.data.close,o,s,q);this.HTMLcleanBBox(o);return s},HTMLcheckStretchy:function(m,n,p,o){if(m){if(!o&&m.HTMLcanStretch("Vertical")){p.push(m);m=(m.CoreMO()||m)}this.HTMLcombineBBoxes(m,n)}}});i.menclose.Augment({toHTML:i.mbase.HTMLautoload});i.maction.Augment({toHTML:i.mbase.HTMLautoload});i.semantics.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.munderover.Augment({toHTML:function(M,I,G){var n=this.getValues("displaystyle","accent","accentunder","align");var q=this.data[this.base];if(!n.displaystyle&&q!=null&&(q.movablelimits||q.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toHTML.call(this,M)}M=this.HTMLcreateSpan(M);var Q=this.HTMLgetScale();var r=d.createStack(M);var s=[],p=[],O=[],z,N,J;for(N=0,J=this.data.length;N<J;N++){if(this.data[N]!=null){z=s[N]=d.createBox(r);p[N]=this.data[N].toHTML(z);if(N==this.base){if(G!=null){this.data[this.base].HTMLstretchV(z,I,G)}else{if(I!=null){this.data[this.base].HTMLstretchH(z,I)}}O[N]=(G==null&&I!=null?false:this.data[N].HTMLcanStretch("Horizontal"));if(this.data[this.over]&&n.accent){p[N].bbox.h=Math.max(p[N].bbox.h,Q*d.TeX.x_height)}}else{O[N]=this.data[N].HTMLcanStretch("Horizontal");p[N].style.paddingLeft=p[N].style.paddingRight=""}}}d.MeasureSpans(p);var o=-d.BIGDIMEN,L=o;for(N=0,J=this.data.length;N<J;N++){if(this.data[N]){if(s[N].bbox.w>L){L=s[N].bbox.w}if(!O[N]&&L>o){o=L}}}if(G==null&&I!=null){o=I}else{if(o==-d.BIGDIMEN){o=L}}for(N=L=0,J=this.data.length;N<J;N++){if(this.data[N]){z=s[N];if(O[N]){z.bbox=this.data[N].HTMLstretchH(z,o).bbox;if(N!==this.base){p[N].style.paddingLeft=p[N].style.paddingRight=""}}if(z.bbox.w>L){L=z.bbox.w}}}var F=d.TeX.rule_thickness*this.mscale,H=d.FONTDATA.TeX_factor;var w,u,B,A,v,E,K,P=0;q=s[this.base]||{bbox:this.HTMLzeroBBox()};if(q.bbox.ic){P=1.3*q.bbox.ic+0.05}for(N=0,J=this.data.length;N<J;N++){if(this.data[N]!=null){z=s[N];v=d.TeX.big_op_spacing5*Q;var C=(N!=this.base&&n[this.ACCENTS[N]]);if(C&&z.bbox.w<=1/d.em+0.0001){z.bbox.w=z.bbox.rw-z.bbox.lw;z.bbox.noclip=true;if(z.bbox.lw){z.insertBefore(d.createSpace(z.parentNode,0,0,-z.bbox.lw),z.firstChild)}d.createBlank(z,0,0,z.bbox.rw+0.1)}E={left:0,center:(L-z.bbox.w)/2,right:L-z.bbox.w}[n.align];w=E;u=0;if(N==this.over){if(C){K=Math.max(F*Q*H,2.5/this.em);v=0;if(q.bbox.skew){w+=q.bbox.skew;M.bbox.skew=q.bbox.skew;if(w+z.bbox.w>L){M.bbox.skew+=(L-z.bbox.w-w)/2}}}else{B=d.TeX.big_op_spacing1*Q*H;A=d.TeX.big_op_spacing3*Q*H;K=Math.max(B,A-Math.max(0,z.bbox.d))}K=Math.max(K,1.5/this.em);w+=P/2;u=q.bbox.h+z.bbox.d+K;z.bbox.h+=v}else{if(N==this.under){if(C){K=3*F*Q*H;v=0}else{B=d.TeX.big_op_spacing2*Q*H;A=d.TeX.big_op_spacing4*Q*H;K=Math.max(B,A-z.bbox.h)}K=Math.max(K,1.5/this.em);w-=P/2;u=-(q.bbox.d+z.bbox.h+K);z.bbox.d+=v}}d.placeBox(z,w,u)}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.msubsup.Augment({toHTML:function(M,K,F){M=this.HTMLcreateSpan(M);var P=this.HTMLgetScale(),J=this.HTMLgetMu(M);var y=d.createStack(M),n,w=[];var x=d.createBox(y);if(this.data[this.base]){w.push(this.data[this.base].toHTML(x));if(F!=null){this.data[this.base].HTMLstretchV(x,K,F)}else{if(K!=null){this.data[this.base].HTMLstretchH(x,K)}}}else{x.bbox=this.HTMLzeroBBox()}var N=d.TeX.x_height*P,E=d.TeX.scriptspace*P*0.75;var m,z;if(this.HTMLnotEmpty(this.data[this.sup])){m=d.createBox(y);w.push(this.data[this.sup].toHTML(m))}if(this.HTMLnotEmpty(this.data[this.sub])){z=d.createBox(y);w.push(this.data[this.sub].toHTML(z))}d.MeasureSpans(w);if(m){m.bbox.w+=E;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}if(z){z.bbox.w+=E;z.bbox.rw=Math.max(z.bbox.w,z.bbox.rw)}d.placeBox(x,0,0);var o=P;if(m){o=this.data[this.sup].HTMLgetScale()}else{if(z){o=this.data[this.sub].HTMLgetScale()}}var H=d.TeX.sup_drop*o,G=d.TeX.sub_drop*o;var B=x.bbox.h-H,A=x.bbox.d+G,O=0,I;if(x.bbox.ic){x.bbox.w-=x.bbox.ic;O=1.3*x.bbox.ic+0.05}if(this.data[this.base]&&K==null&&F==null&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(d.isChar(this.data[this.base].data.join(""))&&w[0].scale===1&&!this.data[this.base].Get("largeop")){B=A=0}}var L=this.getValues("subscriptshift","superscriptshift");L.subscriptshift=(L.subscriptshift===""?0:d.length2em(L.subscriptshift,J));L.superscriptshift=(L.superscriptshift===""?0:d.length2em(L.superscriptshift,J));if(!m){if(z){A=Math.max(A,d.TeX.sub1*P,z.bbox.h-(4/5)*N,L.subscriptshift);d.placeBox(z,x.bbox.w,-A,z.bbox)}}else{if(!z){n=this.getValues("displaystyle","texprimestyle");I=d.TeX[(n.displaystyle?"sup1":(n.texprimestyle?"sup3":"sup2"))];B=Math.max(B,I*P,m.bbox.d+(1/4)*N,L.superscriptshift);d.placeBox(m,x.bbox.w+O,B,m.bbox)}else{A=Math.max(A,d.TeX.sub2*P);var C=d.TeX.rule_thickness*P;if((B-m.bbox.d)-(z.bbox.h-A)<3*C){A=3*C-B+m.bbox.d+z.bbox.h;H=(4/5)*N-(B-m.bbox.d);if(H>0){B+=H;A-=H}}d.placeBox(m,x.bbox.w+O,Math.max(B,L.superscriptshift));d.placeBox(z,x.bbox.w,-Math.max(A,L.subscriptshift))}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload});i.mtable.Augment({toHTML:i.mbase.HTMLautoload});i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload});i.annotation.Augment({toHTML:function(m){return this.HTMLcreateSpan(m)}});i.math.Augment({toHTML:function(E,B,t){var u,w,x,r,m=E;if(!t||t===d.PHASE.I){var C=d.addElement(E,"nobr",{isMathJax:true});E=this.HTMLcreateSpan(C);var n=this.Get("alttext");if(n&&!E.getAttribute("aria-label")){E.setAttribute("aria-label",n)}u=d.createStack(E);w=d.createBox(u);u.style.fontSize=C.parentNode.style.fontSize;C.parentNode.style.fontSize="";if(this.data[0]!=null){i.mbase.prototype.displayAlign=b.config.displayAlign;i.mbase.prototype.displayIndent=b.config.displayIndent;if(String(b.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}x=this.data[0].toHTML(w);x.bbox.exactW=false}}else{E=E.firstChild.firstChild;if(this.href){E=E.firstChild}u=E.firstChild;if(u.style.position!=="relative"){u=u.nextSibling}w=u.firstChild;x=w.firstChild}r=((!t||t===d.PHASE.II)?d.Measured(x,w):x);if(!t||t===d.PHASE.III){d.placeBox(w,0,0);var q=r.bbox.w;q=Math.abs(q)<0.006?0:Math.max(0,Math.round(q*this.em)+0.25);E.style.width=d.EmRounded(q/d.outerEm);E.style.display="inline-block";var A=1/d.em,G=d.em/d.outerEm;d.em/=G;E.bbox.h*=G;E.bbox.d*=G;E.bbox.w*=G;E.bbox.lw*=G;E.bbox.rw*=G;if(E.bbox.H){E.bbox.H*=G}if(E.bbox.D){E.bbox.D*=G}if(r&&r.bbox.width!=null){E.style.minWidth=(r.bbox.minWidth||E.style.width);E.style.width=r.bbox.width;w.style.width=u.style.width="100%";m.className+=" MathJax_FullWidth"}var D=this.HTMLhandleColor(E);if(r){d.createRule(E,(r.bbox.h+A)*G,(r.bbox.d+A)*G,0)}if(!this.isMultiline&&this.Get("display")==="block"&&E.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===i.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}if(o.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift="0"}var F=d.length2em(o.indentshift,1,d.scale*d.cwidth);if(this.displayIndent!=="0"){var y=d.length2em(this.displayIndent,1,d.scale*d.cwidth);F+=(o.indentalign===i.INDENTALIGN.RIGHT?-y:y)}m.style.textAlign=B.style.textAlign=o.indentalign;if(F){b.Insert(E.style,({left:{marginLeft:d.Em(F)},right:{marginRight:d.Em(-F)},center:{marginLeft:d.Em(F),marginRight:d.Em(-F)}})[o.indentalign]);if(D){var v=parseFloat(D.style.marginLeft||"0")+F,s=parseFloat(D.style.marginRight||"0")-F;D.style.marginLeft=d.Em(v);D.style.marginRight=d.Em(s+(o.indentalign==="right"?E.bbox.w+F-E.bbox.w:0));if(d.msieColorBug&&o.indentalign==="right"){if(parseFloat(D.style.marginLeft)>0){var z=MathJax.HTML.addElement(D.parentNode,"span");z.style.marginLeft=d.Em(s+Math.min(0,E.bbox.w+F));D.nextSibling.style.marginRight="0em"}D.nextSibling.style.marginLeft="0em";D.style.marginRight=D.style.marginLeft="0em"}}}}}return E},HTMLspanElement:i.mbase.prototype.HTMLspanElement});i.TeXAtom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){if(this.texClass===i.TEXCLASS.VCENTER){var m=d.createStack(q);var r=d.createBox(m);var t=this.data[0].toHTML(r);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(r,o,s),r)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(r,o),r)}else{d.Measured(t,r)}}var n=d.TeX.axis_height*this.HTMLgetScale();d.placeBox(r,0,n-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var p=this.data[0].toHTML(q,o,s);if(s!=null){p=this.data[0].HTMLstretchV(r,o,s)}else{if(o!=null){p=this.data[0].HTMLstretchH(r,o)}}q.bbox=p.bbox}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});b.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(m){var q=(document.documentMode||0);var p=m.versionAtLeast("7.0");var o=m.versionAtLeast("8.0")&&q>7;var n=(document.compatMode==="BackCompat");if(q<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:(q<8),msieColorPositionBug:true,msieRelativeWidthBug:n,msieDisappearingBug:(q>=8),msieMarginScaleBug:(q<8),msiePaddingWidthBug:true,msieBorderWidthBug:n,msieFrameSizeBug:(q<=8),msieInlineBlockAlignBug:(!o||n),msiePlaceBoxBug:(o&&!n),msieClipRectBug:!o,msieNegativeSpaceBug:n,msieRuleBug:(q<7),cloneNodeBug:(o&&m.version==="8.0"),msieItalicWidthBug:true,initialSkipBug:(q<8),msieNegativeBBoxBug:(q>=8),msieIE6:!p,msieItalicWidthBug:true,FontFaceBug:(q<9),msieFontCSSBug:m.isIE9,allowWebFonts:(q>=9?"woff":"eot")})},Firefox:function(n){var o=false;if(n.versionAtLeast("3.5")){var m=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,m.length)===m){o="otf"}}d.Augment({ffVerticalAlignBug:!n.versionAtLeast("20.0"),AccentBug:true,allowWebFonts:o,ffFontOptimizationBug:true})},Safari:function(r){var p=r.versionAtLeast("3.0");var o=r.versionAtLeast("3.1");var m=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var n=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var s=(o&&r.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!r.versionAtLeast("5.0"))||(n!=null&&(n[1]<2||(n[1]==2&&n[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:((r.webkit||0)>=538?d.EmRounded:d.Em),rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!o,safariTextNodeBug:!p,forceReflow:true,FontFaceBug:true,combiningCharBug:parseInt(r.webkit)>=602,allowWebFonts:(o&&!s?"otf":false)});if(m){d.Augment({webFontDefault:(r.isMobile?"sans-serif":"serif")})}if(r.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(s){var q=b.config["HTML-CSS"];if(q){q.availableFonts=[];q.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(m){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:-0.02,AccentBug:true,AdjustSurd:true,FontFaceBug:m.versionAtLeast("32.0"),negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(m.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(m){m.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:m.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(m.versionAtLeast("10.0")&&!m.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(m){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/Accessible-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/Accessible-full.js");
diff --git a/config/Accessible.js b/config/Accessible.js
index 909cbb1a23..ada8cbcd6b 100644
--- a/config/Accessible.js
+++ b/config/Accessible.js
@@ -52,26 +52,114 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
 (function(c,g){var f="2.7.0";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/Accessible.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/Accessible.js");
diff --git a/config/MML_CHTML-full.js b/config/MML_CHTML-full.js
index 4e866f7f1f..d4549489dd 100644
--- a/config/MML_CHTML-full.js
+++ b/config/MML_CHTML-full.js
@@ -35,19 +35,107 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
-(function(o,f,m,a){var d;var g=MathJax.Object.isArray;var e,q,h;var k=1,l=0.1,j=0.025,b=0.025;var p={".mjx-chtml":{display:"inline-block","line-height":0,"text-indent":0,"text-align":"left","text-transform":"none","font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","letter-spacing":"normal","word-wrap":"normal","word-spacing":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,margin:0,padding:"1px 0"},".MJXc-display":{display:"block","text-align":"center",margin:"1em 0",padding:0},".mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex]":{display:"inline-table"},".mjx-full-width":{"text-align":"center",display:"table-cell!important",width:"10000em"},".mjx-math":{display:"inline-block","border-collapse":"separate","border-spacing":0},".mjx-math *":{display:"inline-block","-webkit-box-sizing":"content-box!important","-moz-box-sizing":"content-box!important","box-sizing":"content-box!important","text-align":"left"},".mjx-numerator":{display:"block","text-align":"center"},".mjx-denominator":{display:"block","text-align":"center"},".MJXc-stacked":{height:0,position:"relative"},".MJXc-stacked > *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v<s;v++){var y=x.childNodes[v];if(y){if(u.test(y.className)){return y}if(y.id===""){t.push(y)}}}x=t.shift()}return null},preTranslate:function(w){var v=w.jax[this.id],E,B=v.length,H,z,C,F,t,G,s,I;var y=100000,x=false,D=0,u=c.automatic,A=c.width;if(u){x=!!A.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/);if(x){A=A.replace(/\s*container\s*/,"")}else{y=this.defaultWidth}if(A===""){A="100%"}}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}z=H.previousSibling;if(z&&z.className&&String(z.className).substr(0,9)==="mjx-chtml"){z.parentNode.removeChild(z)}if(H.MathJax.preview){H.MathJax.preview.style.display="none"}t=H.MathJax.elementJax;if(!t){continue}t.CHTML={display:(t.root.Get("display")==="block"),preview:(t.CHTML||{}).preview};C=a.Element("mjx-chtml",{id:t.inputID+"-Frame",className:"MathJax_CHTML",isMathJax:true,jaxID:this.id,oncontextmenu:e.Menu,onmousedown:e.Mousedown,onmouseover:e.Mouseover,onmouseout:e.Mouseout,onmousemove:e.Mousemove,onclick:e.Click,ondblclick:e.DblClick,onkeydown:e.Keydown,tabIndex:f.getTabOrder(t)});if(t.CHTML.display){var J=a.Element("mjx-chtml",{className:"MJXc-display",isMathJax:false});J.appendChild(C);C=J}if(f.Browser.noContextMenu){C.ontouchstart=q.start;C.ontouchend=q.end}C.className+=" MJXc-processing";H.parentNode.insertBefore(C,H);F=this.TestSpan.cloneNode(true);F.className+=" mjx-test-"+(t.CHTML.display?"display":"inline");H.parentNode.insertBefore(F,H)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}F=H.previousSibling;t=H.MathJax.elementJax;if(!t){continue}s=a.getFontSize(F);G=F.childNodes[1].offsetHeight/60;D=Math.max(0,t.CHTML.display?F.lastChild.offsetWidth-1:F.lastChild.offsetLeft-F.firstChild.offsetLeft-2);if(G===0||G==="NaN"){G=this.defaultEx;D=this.defaultWidth}if(D===0&&!t.CHTML.display){D=this.defaultWidth}if(x){y=D}I=(this.config.matchFontHeight?G/this.TEX.x_height/s:1);I=Math.floor(Math.max(this.config.minScaleAdjust/100,I)*this.config.scale);t.CHTML.scale=I/100;t.CHTML.fontSize=I+"%";t.CHTML.outerEm=s;t.CHTML.em=this.em=s*I/100;t.CHTML.ex=G;t.CHTML.cwidth=D/this.em;t.CHTML.lineWidth=(u?this.length2em(A,y/this.em,1):y)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}t=H.MathJax.elementJax;if(!t){continue}H.parentNode.removeChild(H.previousSibling);if(H.MathJax.preview){H.MathJax.preview.style.display=""}}w.CHTMLeqn=w.CHTMLlast=0;w.CHTMLi=-1;w.CHTMLchunk=this.config.EqnChunk;w.CHTMLdelay=false},Translate:function(t,x){if(!t.parentNode){return}if(x.CHTMLdelay){x.CHTMLdelay=false;f.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var s=t.MathJax.elementJax,w=s.root,v=document.getElementById(s.inputID+"-Frame");if(!v){return}this.getMetrics(s);if(this.scale!==1){v.style.fontSize=s.CHTML.fontSize}this.initCHTML(w,v);this.savePreview(t);this.CHTMLnode=v;try{w.setTeXclass();w.toCommonHTML(v)}catch(u){while(v.firstChild){v.removeChild(v.firstChild)}delete this.CHTMLnode;this.restorePreview(t);throw u}delete this.CHTMLnode;this.restorePreview(t);if(s.CHTML.display){v=v.parentNode}v.className=v.className.replace(/ [^ ]+$/,"");v.className+=" MJXc-processed";if(t.MathJax.preview){s.CHTML.preview=t.MathJax.preview;delete t.MathJax.preview}x.CHTMLeqn+=(x.i-x.CHTMLi);x.CHTMLi=x.i;if(x.CHTMLeqn>=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;v<s;v++){var u=t[v];if(u&&u.MathJax.elementJax){u.previousSibling.className=u.previousSibling.className.replace(/ [^ ]+$/,"");var w=u.MathJax.elementJax.CHTML;if(w.preview){w.preview.innerHTML="";u.MathJax.preview=w.preview;delete w.preview}}}x.CHTMLlast=x.CHTMLeqn},getJaxFromMath:function(s){if(s.parentNode.className.match(/MJXc-display/)){s=s.parentNode}do{s=s.nextSibling}while(s&&s.nodeName.toLowerCase()!=="script");return f.getJaxFor(s)},getHoverSpan:function(s,t){return s.root.CHTMLnodeElement()},getHoverBBox:function(s,v,w){var x=s.root.CHTML,u=s.CHTML.outerEm;var t={w:x.w*u,h:x.h*u,d:x.d*u};if(x.width){t.width=x.width}return t},Zoom:function(u,B,A,s,y){this.getMetrics(u);var v=a.addElement(B,"mjx-chtml",{style:{"font-size":Math.floor(a.scale*100)+"%"},isMathJax:false});a.CHTMLnode=v;this.idPostfix="-zoom";u.root.toCommonHTML(v);this.idPostfix="";var t=v.style,C=u.root.CHTML;if(C.t>C.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u<z;u++){if(t[u].name==="alpha"&&w.noLowerCase){continue}var x=w["offset"+t[u].offset];if(x&&v>=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i<s.length){y=this.getUnicode(s);var u=this.getCharList(t,y);if(u){v.push.apply(v,u)}}}else{if(t.cache[y]){v=t.cache[y]}else{t.cache[y]=v=this.lookupChar(t,y,w)}}return v},lookupChar:function(v,z,x){var y=v;while(v){for(var u=0,s=v.fonts.length;u<s;u++){var t=this.FONTDATA.FONTS[v.fonts[u]];if(typeof(t)==="string"){this.loadFont(t)}var w=t[z];if(w){this.fixChar(w,z);if(w[5].space){return[{type:"space",w:w[2],font:t}]}return[{type:"char",font:t,n:z}]}else{if(t.Extra){this.findBlock(t,z)}}}v=this.FONTDATA.VARIANT[v.chain];if(v&&v.remap&&v.remap[z]&&x++<n){return this.remapChar(v,z,x)}}return[this.unknownChar(y,z)]},fixChar:function(s,t){if(s.length===5){s[5]={}}if(s.c==null){s[0]/=1000;s[1]/=1000;s[2]/=1000;s[3]/=1000;s[4]/=1000;s.c=this.unicodeChar(t)}return s},findBlock:function(u,y){var t=u.Extra,v=u.file,x;for(var w=0,s=t.length;w<s;w++){if(typeof(t[w])==="number"){if(y===t[w]){x=v;break}}else{if(y<t[w][0]){return}if(y<=t[w][1]){x=v;break}}}if(x){delete u.Extra;this.loadFont(v)}},unknownChar:function(s,v){f.signal.Post(["CommonHTML Jax - unknown char",v,s]);var u="";if(s.bold){u+="B"}if(s.italic){u+="I"}var t=this.FONTDATA.UNKNOWN[u||"R"];if(!t[v]){this.getUnknownChar(t,v)}return{type:"unknown",n:v,font:t}},getUnknownChar:function(t,v){var u=this.unicodeChar(v);var s=this.getHDW(u,t.className);t[v]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];t[v].c=u},styledText:function(t,w){f.signal.Post(["CommonHTML Jax - styled text",w,t]);var u=t.style;var x="_"+(u["font-family"]||t.className||"");if(u["font-weight"]){x+="_"+u["font-weight"]}if(u["font-style"]){x+="_"+u["font-style"]}if(!this.STYLEDTEXT){this.STYLEDTEXT={}}if(!this.STYLEDTEXT[x]){this.STYLEDTEXT[x]={className:t.className||""}}var v=this.STYLEDTEXT[x];if(!v["_"+w]){var s=this.getHDW(w,t.className||"",u);v["_"+w]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];v["_"+w].c=w}return{type:"unknown",n:"_"+w,font:v,style:u,rscale:t.rscale}},getHDW:function(B,u,F){var t=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B]]]);var s=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B,["mjx-box"]]]]);t.firstChild.style.fontSize=s.firstChild.style.fontSize="";var v=5*a.em;var E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;a.CHTMLnode.removeChild(t);a.CHTMLnode.removeChild(s);if(C===0){v=5*a.defaultEm;var A=document.body.appendChild(document.createElement("div"));A.appendChild(t);A.appendChild(s);E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;document.body.removeChild(A)}var z=(C-1000)/v,D=x/v,y=E/v-z;return{h:y,d:z,w:D}},addCharList:function(v,x,y){var w={text:"",className:null,a:0};for(var t=0,s=x.length;t<s;t++){var u=x[t];if(this.charList[u.type]){(this.charList[u.type])(u,v,y,w,s)}}if(w.text!==""){if(v.childNodes.length){this.charList.flushText(v,w)}else{m.addText(v,w.text);if(v.className){v.className+=" "+w.className}else{v.className=w.className}}}y.b=(w.flushed?0:y.a)},charList:{"char":function(D,x,B,u,y){var w=D.font,A=(w.remapCombining||{})[D.n];if(w.className===u.className){A=null}else{if(u.className||(A&&u.text!=="")){this.flushText(x,u)}}if(!u.a){u.a=w.centerline/1000}if(u.a>(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.h<t[0]+j){B.t=B.h=t[0]+j}if(B.d<t[1]+b){B.b=B.d=t[1]+b}if(B.l>B.w+t[3]){B.l=B.w+t[3]}if(B.r<B.w+t[4]){B.r=B.w+t[4]}B.w+=t[2]*(D.rscale||1);if(y==1&&w.skew&&w.skew[D.n]){B.skew=w.skew[D.n]}if(t[5]&&t[5].rfix){this.flushText(x,u).style.marginRight=a.Em(t[5].rfix/1000)}if(A){var z=this.flushText(x,u);var s=(v[D.n]||w[D.n])[4]-(t[4]-t[2]);z.style.marginLeft=a.Em(-t[2]-s);if(s<0){z.style.marginRight=a.Em(-s)}}},space:function(t,s,v,u){if(t.w){if(u.text===""){u.className=t.font.className}this.flushText(s,u).style.marginRight=a.Em(t.w);v.w+=t.w}},unknown:function(t,s,w,u){(this["char"])(t,s,w,u,0);var v=t.font[t.n];if(v[5].a){u.a=v[5].a;if(w.a==null||u.a>w.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i<s.length){var y=this.getUnicode(s);v.push.apply(v,this.getCharList(t,y))}}if(v.length){this.addCharList(u.firstChild,v,w)}w.clean();if(w.d<0){w.D=w.d;w.d=0}if(w.h-w.a){u.firstChild.style[w.h-w.a<0?"marginTop":"paddingTop"]=this.EmRounded(w.h-w.a)}if(w.d>-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y<w;y++){if(t.HW[y][0]>=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&x<J*P.min){x=J*P.min}if(x>J){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&s<y*P.min){s=y*P.min}Q.w=Q.r=s;if(s>y){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v<s;v++){if(t[v]){t[v].style.paddingTop=a.Em(u-w[v].a);t[v].style.paddingBottom=a.Em(y+w[v].a);t[v].style.marginTop=t[v].style.marginBottom=0}}},createChar:function(u,y,w,t){var B="",x={fonts:[y[1]],noRemap:true,cache:{}};if(t&&t===d.VARIANT.BOLD&&this.FONTDATA.FONTS[y[1]+"-Bold"]){x.fonts=[y[1]+"-Bold",y[1]]}if(typeof(y[1])!=="string"){x=y[1]}if(y[0] instanceof Array){for(var z=0,v=y[0].length;z<v;z++){B+=String.fromCharCode(y[0][z])}}else{B=String.fromCharCode(y[0])}if(y[4]){w*=y[4]}var A=this.handleText(u,B,x),s=u.firstChild.style;if(w!==1){s.fontSize=this.Percent(w)}if(y[2]){s.paddingLeft=this.Em(y[2]);A.w+=y[2];A.r+=y[2]}if(y[3]){s.verticalAlign=this.Em(y[3]);A.h+=y[3];if(A.h<0){A.h=0}}if(y[5]){s.marginTop=this.Em(y[5]);A.h+=y[5];A.t+=y[5]}if(y[6]){s.marginBottom=this.Em(y[6]);A.d+=y[6];A.b+=y[6]}return A},length2em:function(w,u,x){if(typeof(w)!=="string"){w=w.toString()}if(w===""){return""}if(w===d.SIZE.NORMAL){return 1}if(w===d.SIZE.BIG){return 2}if(w===d.SIZE.SMALL){return 0.71}if(this.MATHSPACE[w]){return this.MATHSPACE[w]}var t=w.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var s=parseFloat(t[1]||"1"),v=t[2];if(u==null){u=1}if(!x){x=1}x=1/this.em/x;if(v==="em"){return s}if(v==="ex"){return s*this.TEX.x_height}if(v==="%"){return s/100*u}if(v==="px"){return s*x}if(v==="pt"){return s/10}if(v==="pc"){return s*1.2}x*=this.pxPerInch;if(v==="in"){return s*x}if(v==="cm"){return s*x/2.54}if(v==="mm"){return s*x/25.4}if(v==="mu"){return s/18}return s*u},thickness2em:function(s,t){var u=a.TEX.rule_thickness/(t||1);if(s===d.LINETHICKNESS.MEDIUM){return u}if(s===d.LINETHICKNESS.THIN){return 0.67*u}if(s===d.LINETHICKNESS.THICK){return 1.67*u}return this.length2em(s,u,t)},Em:function(s){if(Math.abs(s)<0.001){return"0"}return(s.toFixed(3).replace(/\.?0+$/,""))+"em"},EmRounded:function(s){s=(Math.round(s*a.em)+0.05)/a.em;if(Math.abs(s)<0.0006){return"0em"}return s.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(s){return parseFloat(s)},Px:function(s,t){s*=this.em;if(t&&s<t){s=t}if(Math.abs(s)<0.1){return"0"}return s.toFixed(1).replace(/\.0$/,"")+"px"},Percent:function(s){return(100*s).toFixed(1).replace(/\.?0+$/,"")+"%"},Transform:function(v,t,s){var u=v.style;u.transform=u.WebkitTransform=u.MozTransform=u["-ms-transform"]=t;if(s){u.transformOrigin=u.WebkitTransformOrigin=u.MozTransformOrigin=u["-ms-transform-origin"]=s}},arrayEntry:function(s,t){return s[Math.max(0,Math.min(t,s.length-1))]},removeStyles:["fontSize","fontFamily","fontWeight","fontStyle","fontVariant","font"]});a.BBOX=MathJax.Object.Subclass({Init:function(s){for(var t in s){if(s.hasOwnProperty(t)){this[t]=s[t]}}},clean:function(){if(this.h===-i){this.h=0}if(this.d===-i){this.d=0}if(this.l===i){this.l=0}if(this.r===-i){this.r=0}if(this.t===-i){this.t=0}if(this.b===-i){this.b=0}if(this.D&&this.d>0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}if(s+u*(t.w+(t.L||0)+(t.R||0))>this.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}this.w+=u*(t.w+(t.L||0)+(t.R||0));if(u*t.h>this.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]<u){this[v]=u}}}},{zero:function(){return a.BBOX({h:0,d:0,w:0,l:0,r:0,t:0,b:0,scale:1,rscale:1})},empty:function(s){if(!s){s=a.BBOX.zero()}s.h=s.d=s.r=s.t=s.b=-i;s.w=0;s.l=i;delete s.pwidth;return s},styleAdjust:[["borderTopWidth","h","t"],["borderRightWidth","w","r"],["borderBottomWidth","d","b"],["borderLeftWidth","w","l",0],["paddingTop","h","t"],["paddingRight","w","r"],["paddingBottom","d","b"],["paddingLeft","w","l",0],]});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){d=MathJax.ElementJax.mml;d.mbase.Augment({toCommonHTML:function(t,s){return this.CHTMLdefaultNode(t,s)},CHTMLmultiline:function(){d.mbase.CHTMLautoloadFile("multiline")},CHTMLdefaultNode:function(v,t){if(!t){t={}}v=this.CHTMLcreateNode(v);this.CHTML=a.BBOX.empty();this.CHTMLhandleStyle(v);if(this.isToken){this.CHTMLgetVariant()}this.CHTMLhandleScale(v);var s=Math.max((t.minChildren||0),this.data.length);for(var u=0;u<s;u++){this.CHTMLaddChild(v,u,t)}if(!t.noBBox){this.CHTML.clean()}this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v},CHTMLaddChild:function(x,t,s){var z=this.data[t],w;var u=s.childNodes;if(u instanceof Array){u=u[t]||"span"}if(z){if(u){x=a.addElement(x,u)}w=z.toCommonHTML(x,s.childOptions);if(u&&z.CHTML.rscale!==1){x.style.fontSize=x.firstChild.style.fontSize;x.firstChild.style.fontSize=""}if(!s.noBBox){var y=this.CHTML,v=z.CHTML;y.append(v);if(this.data.length===1){if(v.ic){y.ic=v.ic}if(v.skew){y.skew=v.skew}}else{delete y.ic;delete y.skew}if(v.pwidth){y.pwidth=v.pwidth}}}else{if(s.forceChild){w=a.addElement(x,(u||"mjx-box"))}}return w},CHTMLchildNode:function(t,s){t=t.childNodes[s];if(t.nodeName.toLowerCase()==="a"){t=t.firstChild}return t},CHTMLcoreNode:function(s){if(this.inferRow&&this.data[0]){return this.data[0].CHTMLcoreNode(s.firstChild)}return this.CHTMLchildNode(s,this.CoreIndex())},CHTMLstretchChildV:function(v,u,y){var x=this.data[v];if(x){var z=this.CHTML,t=x.CHTML;if(t.stretch||(t.stretch==null&&x.CHTMLcanStretch("Vertical",u,y))){var s=t.w;t=x.CHTMLstretchV(u,y);z.w+=t.w-s;if(z.w>z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t<s;t++){var x=z[t];if(y[x]==false||(!u[x]&&!y[x]&&w[x]==null&&typeof(v[x])==="undefined")){v.setAttribute(x,this.attr[x])}}}return v},CHTMLhandleScale:function(v){var x=1,u=this.parent,w=(u?u.CHTML.scale:1);var s=this.getValues("scriptlevel","fontsize");s.mathsize=this.Get("mathsize",null,!this.isToken);if(s.scriptlevel!==0){if(s.scriptlevel>2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x<s.scriptminsize){x=s.scriptminsize}}if(this.removedStyles&&this.removedStyles.fontSize&&!s.fontsize){s.fontsize=this.removedStyles.fontSize}if(s.fontsize&&!this.mathsize){s.mathsize=s.fontsize}if(s.mathsize!==1){x*=a.length2em(s.mathsize,1,1)}var t=this.CHTMLvariant;if(t&&t.style&&t.style["font-family"]){x*=(a.config.scale/100)/a.scale}this.CHTML.scale=x;w=this.CHTML.rscale=x/w;if(Math.abs(w-1)<0.001){w=1}if(v&&w!==1){v.style.fontSize=a.Percent(w)}return x},CHTMLhandleStyle:function(v){if(!this.style){return}var u=v.style;u.cssText=this.style;this.removedStyles={};for(var t=0,s=a.removeStyles.length;t<s;t++){var w=a.removeStyles[t];if(u[w]){this.removedStyles[w]=u[w];u[w]=""}}},CHTMLhandleBBox:function(w){var t=this.CHTML,v=w.style;if(this.data.length===1&&(this.data[0].CHTML||{}).pwidth){t.pwidth=this.data[0].CHTML.pwidth;t.mwidth=this.data[0].CHTML.mwidth;v.width="100%"}else{if(t.pwidth){t.mwidth=a.Em(t.w);v.width="100%"}else{if(t.w<0){v.width="0px";v.marginRight=a.Em(t.w)}}}if(!this.style){return}for(var u=0,s=a.BBOX.styleAdjust.length;u<s;u++){var x=a.BBOX.styleAdjust[u];if(x&&v[x[0]]){t.adjust(v[x[0]],x[1],x[2],x[3])}}},CHTMLhandleColor:function(s){if(this.mathcolor){s.style.color=this.mathcolor}else{if(this.color){s.style.color=this.color}}if(this.mathbackground){s.style.backgroundColor=this.mathbackground}else{if(this.background){s.style.backgroundColor=this.background}}},CHTMLhandleSpace:function(s){if(!this.useMMLspacing){var t=this.texSpacing();if(t!==""){this.CHTML.L=this.CHTMLlength2em(t);s.className+=" "+a.SPACECLASS[t]}}},CHTMLhandleText:function(t,u,s){if(t.firstChild&&!this.CHTML){this.CHTML=a.BBOX.empty()}this.CHTML=a.handleText(t,u,s,this.CHTML)},CHTMLgetVariant:function(){var s=this.getValues("mathvariant","fontfamily","fontweight","fontstyle"),u;s.hasVariant=this.Get("mathvariant",true);if(this.removedStyles){u=this.removedStyles;if(u.fontFamily){s.family=u.fontFamily}if(u.fontWeight){s.weight=u.fontWeight}if(u.fontStyle){s.style=u.fontStyle}}if(!s.hasVariant){if(s.fontfamily){s.family=s.fontfamily}if(s.fontweight){s.weight=s.fontweight}if(s.fontstyle){s.style=s.fontstyle}}if(s.weight&&s.weight.match(/^\d+$/)){s.weight=(parseInt(s.weight)>600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){t*=a.em/a.outerEm;f.Insert(w,({left:{marginLeft:a.Em(t)},right:{marginRight:a.Em(-t)},center:{marginLeft:a.Em(t),marginRight:a.Em(-t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,u,{childOptions:{variant:t.mathvariant,remap:this.remap,remapchars:t.remapchars}})}if(!a.isChar(t.text)){delete this.CHTML.skew}else{if(this.CHTML.w===0&&this.CHTML.l<0){this.CHTMLfixCombiningChar(v)}}if(t.largeop){this.CHTMLcenterOp(v)}}this.CHTML.clean();this.CHTMLhandleBBox(v);this.CHTMLhandleSpace(v);this.CHTMLhandleColor(v);return v},CHTMLhandleSpace:function(v){if(this.hasMMLspacing()){var t=this.getValues("scriptlevel","lspace","rspace");t.lspace=Math.max(0,this.CHTMLlength2em(t.lspace));t.rspace=Math.max(0,this.CHTMLlength2em(t.rspace));if(t.scriptlevel>0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.h<a.TEX.x_height){C.h+=a.TEX.x_height-F.h;u.style.marginTop=a.Em(a.TEX.x_height-Math.max(F.h,0.35));F.h=a.TEX.x_height}var A=u,D=0;if(F.ic){D=1.3*F.ic+0.05}if(this.data[this.over]){A=this.CHTMLaddOverscript(z,x,E,D,u,t)}if(this.data[this.under]){this.CHTMLaddUnderscript(B,x,E,D,w,A,t)}else{if(!t){w.appendChild(A)}}this.CHTMLplaceBoxes(u,B,z,E,x);return w},CHTMLgetBBoxes:function(A,x,v){var y,t=this.data.length,z,u=-i,s=u;for(y=0;y<t;y++){A[y]=this.CHTMLbboxFor(y);A[y].x=A[y].y=0;if(this.data[y]){A[y].stretch=this.data[y].CHTMLcanStretch("Horizontal")}z=(y===this.base?1:A[y].rscale);if(y!==this.base){delete A[y].L;delete A[y].R}s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)));if(!A[y].stretch&&s>u){u=s}}if(u===-i){u=s}for(y=0;y<t;y++){if(A[y].stretch){z=(y===this.base?1:A[y].rscale);A[y]=this.data[y].CHTMLstretchH(x[y].firstChild,u/z);A[y].x=A[y].y=0;s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)))}}if(!A[this.base]){A[this.base]=a.BBOX.empty()}return s},CHTMLaddOverscript:function(B,z,F,E,t,s){var D=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var A=z[this.over],G=z[this.base],u=A.rscale;if(!s){var C=a.Element("mjx-stack");C.appendChild(B);C.appendChild(t)}if(A.D){A.d=A.D}if(A.d<0){B.firstChild.style.verticalAlign="top";B.style.height=a.Em(A.h+A.d)}A.x=0;if(F.accent){if(A.w<0.001){A.x+=(A.r-A.l)/2}v=a.TEX.rule_thickness;w=0;if(G.skew){A.x+=u*G.skew;D.skew=u*G.skew;if(A.x+u*A.w>D.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y<v;y++){x=(y===this.base?1:z[y].rscale);var C=x*(z[y].w+(z[y].L||0)+(z[y].R||0));z[y].x+={left:0,center:(t-C)/2,right:t-C}[E.align];if(z[y].x<F){F=z[y].x}}for(y=0;y<v;y++){if(this.data[y]){x=(y===this.base?1:z[y].rscale);if(z[y].x-F){var u=(y===this.base?s:y===this.over?A:B);u.style.paddingLeft=a.Em((z[y].x-F)/x)}D.combine(z[y],z[y].x-F,z[y].y)}}this.CHTML=D},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-op","mjx-under","mjx-over"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.msubsup.Augment({toCommonHTML:function(S,C){var A=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");var D,H,z;if(C&&C.stretch){if(this.data[this.base]){D=a.getNode(S,"mjx-base")}if(this.data[this.sub]){H=a.getNode(S,"mjx-sub")}if(this.data[this.sup]){z=a.getNode(S,"mjx-sup")}E=a.getNode(S,"mjx-stack")}else{var K=["mjx-base","mjx-sub","mjx-sup"];if(this.sup===1){K[1]=K[2]}S=this.CHTMLdefaultNode(S,{childNodes:K,noBBox:true,forceChild:true,minChildren:3});D=S.childNodes[this.base];H=S.childNodes[this.sub];z=S.childNodes[this.sup];if(!this.CHTMLnotEmpty(this.data[this.sub])){S.removeChild(H);H=null}if(!this.CHTMLnotEmpty(this.data[this.sup])){S.removeChild(z);z=null}if(S.childNodes.length===3){var E=a.addElement(S,"mjx-stack");E.appendChild(z);E.appendChild(H)}}var F=[],G=a.BBOX.empty(this.CHTML);for(var V=0,T=this.data.length;V<T;V++){F[V]=this.CHTMLbboxFor(V)}var y=F[this.base]||a.BBOX.empty(),P=F[this.sub],W=F[this.sup];var B=(H?P.rscale:1),w=(z?W.rscale:1);G.combine(y,0,0);var X=a.TEX.x_height,N=a.TEX.scriptspace;var Q=a.TEX.sup_drop*w,O=a.TEX.sub_drop*B;var L=y.h-Q,J=y.d+O,Y=0,R;if(y.ic){G.w-=y.ic;D.style.marginRight=a.Em(-y.ic);Y=1.3*y.ic+0.05}var U=this.data[this.base];if(U){if((U.type==="mrow"||U.type==="mstyle")&&U.data.length===1){U=U.data[0]}if(U.type==="mi"||U.type==="mo"){if(a.isChar(U.data.join(""))&&y.rscale===1&&!y.sH&&!U.Get("largeop")){L=J=0}}}A.subscriptshift=(A.subscriptshift===""?0:this.CHTMLlength2em(A.subscriptshift));A.superscriptshift=(A.superscriptshift===""?0:this.CHTMLlength2em(A.superscriptshift));var I=G.w;if(H){P.w+=N}if(z){W.w+=N}if(!z){if(H){J=Math.max(J,a.TEX.sub1,B*P.h-(4/5)*X,A.subscriptshift);H.style.verticalAlign=a.Em(-J/B);H.style.paddingRight=a.Em(N/B);G.combine(P,I,-J)}}else{if(!H){R=a.TEX[(A.displaystyle?"sup1":(A.texprimestyle?"sup3":"sup2"))];L=Math.max(L,R,w*W.d+(1/4)*X,A.superscriptshift);z.style.verticalAlign=a.Em(L/w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);G.combine(W,I+Y,L)}else{J=Math.max(J,a.TEX.sub2);var M=a.TEX.rule_thickness;if((L-w*W.d)-(B*P.h-J)<3*M){J=3*M-L+w*W.d+B*P.h;Q=(4/5)*X-(L-w*W.d);if(Q>0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(K<L){I+=(L-K)/2;G+=(L-K)/2}}else{L=Math.max((O?2:0)*M+J,J/2+1.5*M);J=Math.max(J,M);K=(I-P.d*F)-(T+J/2);if(K<L){I+=(L-K)}K=(T-J/2)-(B.h*z-G);if(K<L){G+=(L-K)}P.L=P.R=B.L=B.R=0.1;var A=a.addElement(y,"mjx-line",{style:{"border-bottom":a.Px(J*C.scale,1)+" solid",top:a.Em(-J/2-T)}})}C.combine(P,0,I);C.combine(B,0,-G);C.clean();y.style.width=a.Em(C.w);D.style.width=a.Em(C.w/F);w.style.width=a.Em(C.w/z);if(A){A.style.width=y.style.width}D.style.top=a.Em(-C.h/F);w.style.bottom=a.Em(-C.d/z);a.addElement(N,"mjx-vsize",{style:{height:a.Em(C.h+C.d),verticalAlign:a.Em(-C.d)}})}if(!this.texWithDelims){var Q=a.TEX.nulldelimiterspace;y.style.padding="0 "+a.Em(Q);C.l+=Q;C.r+=Q;C.w+=2*Q}return N},CHTMLcanStretch:function(s){return false}});d.msqrt.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w,{childNodes:["mjx-box","mjx-root"],forceChild:true,noBBox:true});var v=w.firstChild||a.Element("mjx-box");var E=a.addElement(w,"mjx-box");E.appendChild(v);var F=this.CHTMLbboxFor(0),C=a.BBOX.empty(this.CHTML);var G=a.TEX.rule_thickness,y=a.TEX.surd_height,u=G,s,D;if(this.Get("displaystyle")){u=a.TEX.x_height}s=G+u/4;D=F.h+F.d+s+G;var z=a.Element("mjx-surd");E.insertBefore(z,v);var A=a.createDelimiter(z,8730,[D-0.04,D]);if(A.h+A.d>D){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,s)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9)+s.offset+Math.max(0,u.d-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,"sep"+u,{});this.CHTMLaddChild(v,u,{})}this.CHTMLaddChild(v,"close",{});var t=this.CHTML.h,w=this.CHTML.d;this.CHTMLstretchChildV("open",t,w);for(u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV("sep"+u,t,w);this.CHTMLstretchChildV(u,t,w)}this.CHTMLstretchChildV("close",t,w);this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mrow.Augment({toCommonHTML:function(w,t){t=t||{};w=this.CHTMLdefaultNode(w);var z=this.CHTML,v=z.h,x=z.d,y;for(var u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV(u,v,x);if(this.data[u]&&this.data[u].CHTML&&this.data[u].CHTML.w<0){y=true}}if(this.CHTMLlineBreaks()){this.CHTMLmultiline(w);if(t.autowidth){w.style.width=""}}else{if(y&&z.w){w.style.width=a.Em(Math.max(0,z.w))}if(z.w<0){w.style.marginRight=a.Em(z.w)}}return w},CHTMLlineBreaks:function(){if(!this.parent.linebreakContainer){return false}return(c.automatic&&this.CHTML.w>a.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML);
-MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;q<n;q++){var B=this.data[q],A=(B.type==="mtr"?0:c);y[q]=r;h[q]=t;for(var p=A,v=B.data.length+A;p<v;p++){if(l[p]==null){l[p]=-f;if(p>w){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;q<n;q++){y[q]=x;h[q]=o}}k.H=y;k.D=h;k.W=l,k.J=w},CHTMLgetAttributes:function(v,j){var l=d(v.columnspacing),x=d(v.rowspacing),t=d(v.columnalign),r=d(v.rowalign),k=d(v.columnlines),w=d(v.rowlines),o=d(v.columnwidth),n=[],q,p,u=j.J,s=j.rows.length-1;for(q=0,p=l.length;q<p;q++){l[q]=this.CHTMLlength2em(l[q])}for(q=0,p=x.length;q<p;q++){x[q]=this.CHTMLlength2em(x[q])}while(l.length<u){l.push(l[l.length-1])}while(t.length<=u){t.push(t[t.length-1])}while(k.length<u){k.push(k[k.length-1])}while(o.length<=u){o.push(o[o.length-1])}while(x.length<s){x.push(x[x.length-1])}while(r.length<=s){r.push(r[r.length-1])}while(w.length<s){w.push(w[w.length-1])}t[c]=(v.side.substr(0,1)==="l"?"left":"right");for(q=0;q<=s;q++){var y=this.data[q];n[q]=[];if(y.rowalign){r[q]=y.rowalign}if(y.columnalign){n[q]=d(y.columnalign);while(n[q].length<=u){n[q].push(n[q][n[q].length-1])}}}var h=d(v.framespacing);if(h.length!=2){h=d(this.defaults.framespacing)}h[0]=Math.max(0,this.CHTMLlength2em(h[0]));h[1]=Math.max(0,this.CHTMLlength2em(h[1]));if(v.columnlines.replace(/none/g,"").replace(/ /g,"")!==""||v.rowlines.replace(/none/g,"").replace(/ /g,"")!==""){v.fspace=true}if(v.frame===b.LINES.NONE){delete v.frame}else{v.fspace=true}if(v.frame){h[0]=Math.max(0,h[0]);h[1]=Math.max(0,h[1])}if(v.fspace){l[u]=h[0];x[s]=h[1]}else{l[u]=x[s]=0}k[u]=w[s]=b.LINES.NONE;j.CSPACE=l;j.RSPACE=x;j.CALIGN=t;j.RALIGN=r;j.CLINES=k;j.RLINES=w;j.CWIDTH=o;j.RCALIGN=n;j.FSPACE=h},CHTMLadjustCells:function(l,r){var S=r.rows,W=r.CSPACE,o=r.CLINES,x=r.RSPACE,F=r.RLINES,V=r.CALIGN,q=r.RALIGN,G=r.RCALIGN;W[r.J]*=2;x[S.length-1]*=2;var p="0",I,t,z,N,n,P,U=0;if(l.fspace){U=r.FSPACE[1];p=e.Em(r.FSPACE[1])}r.RHD=[];r.RH=[];for(var Q=0,K=S.length;Q<K;Q++){var w=S[Q],v=this.data[Q];I=x[Q]/2;N=null;z="0";if(F[Q]!==b.LINES.NONE&&F[Q]!==""){N=r.t+" "+F[Q]}if(N||(o[O]!==b.LINES.NONE&&o[O]!=="")){while(w.length<=r.J){w.push(e.addElement(w.node,"mjx-mtd",null,[["span"]]))}}r.RH[Q]=U+r.H[Q];U=Math.max(0,I);r.RHD[Q]=r.RH[Q]+U+r.D[Q];I=e.Em(U);if(l.fspace){z=e.Em(r.FSPACE[0])}for(var O=0,y=w.length;O<y;O++){var E=(v.type==="mtr"?0:c);var J=v.data[O-E]||{CHTML:e.BBOX.zero()};var k=w[O].style;n=J.CHTML;t=W[O]/2;if(o[O]!==b.LINES.NONE){k.borderRight=r.t+" "+o[O];t-=1/e.em/2}t=e.Em(Math.max(0,t));k.padding=p+" "+t+" 0px "+z;if(N){k.borderBottom=N}z=t;P=(J.rowalign||(this.data[Q]||{}).rowalign||q[Q]);var A=Math.max(1,n.h),C=Math.max(0.2,n.d),h=(r.H[Q]+r.D[Q])-(A+C),u=w[O].firstChild.style;if(P===b.ALIGN.TOP){if(h){u.marginBottom=e.Em(h)}k.verticalAlign="top"}else{if(P===b.ALIGN.BOTTOM){k.verticalAlign="bottom";if(h){u.marginTop=e.Em(h)}}else{if(P===b.ALIGN.CENTER){if(h){u.marginTop=u.marginBottom=e.Em(h/2)}k.verticalAlign="middle"}else{if(A!==r.H[Q]){u.marginTop=e.Em(r.H[Q]-A)}}}}P=(J.columnalign||G[Q][O]||V[O]);if(P!==b.ALIGN.CENTER){k.textAlign=P}}w.node.style.height=e.Em(r.RHD[Q]);p=I}W[r.J]/=2;x[S.length-1]/=2},CHTMLalignV:function(w,k,o){var m,t=k.rows.length,v=k.H,j=k.D,x=k.RSPACE;if(typeof(w.align)!=="string"){w.align=String(w.align)}if(w.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){m=parseInt(RegExp.$3||"0");w.align=RegExp.$1;if(m<0){m+=k.rows.length+1}if(m>t||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q<t;q++){var r=v[q],s=j[q];p+=r+s+x[q];if(m){if(q===m-1){l+=({top:r+s,bottom:0,center:(r+s)/2,baseline:s,axis:u+s})[w.align]+x[q]}if(q>=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;H<B;H++){F=h[H];v=Math.max(o[F],this.CHTMLlength2em(I[F],G));k+=v-o[F];o[F]=v;t[F].style.width=e.Em(v)}E+=k}if(!C){D=s}if(G>E&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;H<B;H++){F=D[H];o[F]+=x;t[F].style.width=e.Em(o[F])}E=G}}}o[c]=r.W[c];r.W=o;r.R=E;if(y){A.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=e.Em(E);A.firstChild.style.width=l.width;A.firstChild.style.margin="auto"}},CHTMLstretchCells:function(x,l){var y=l.rows,w=l.H,k=l.D,m=l.W,t=l.J,s=y.length-1;for(var o=0;o<=s;o++){var z=y[o],q=this.data[o];var p=w[o],r=k[o];for(var n=0;n<=t;n++){var v=z[n],u=q.data[n];if(!u){continue}if(u.CHTML.stretch==="V"){u.CHTMLstretchV(p,r)}else{if(u.CHTML.stretch==="H"){u.CHTMLstretchH(v,m[n])}}}}},CHTMLaddLabels:function(h,k,w,B){var q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(q.indentalignfirst!==b.INDENTALIGN.INDENTALIGN){q.indentalign=q.indentalignfirst}if(q.indentalign===b.INDENTALIGN.AUTO){q.indentalign=a.displayAlign}if(q.indentshiftfirst!==b.INDENTSHIFT.INDENTSHIFT){q.indentshift=q.indentshiftfirst}if(q.indentshift==="auto"){q.indentshift="0"}var z=this.CHTMLlength2em(q.indentshift,e.cwidth);var A=this.CHTMLlength2em(h.minlabelspacing,0.8);var p=A+k.W[c],y=0,D=k.R;var n=this.CHTMLlength2em(a.displayIndent,e.cwidth);var t=(k.CALIGN[c]===b.INDENTALIGN.RIGHT?-1:1);if(q.indentalign===b.INDENTALIGN.CENTER){D+=2*(p-t*(z+n));z+=n}else{if(k.CALIGN[c]===q.indentalign){if(n<0){y=t*n;n=0}z+=t*n;if(p>t*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x<v;x++){if(l[x]&&this.data[x].data[0]){C.appendChild(l[x]);var r=this.data[x].data[0].CHTML;j=k.RH[x]-Math.max(1,r.h);if(j){l[x].firstChild.firstChild.style.marginTop=e.Em(j)}l[x].style.height=e.Em(k.RHD[x])}else{e.addElement(C,"mjx-label",{style:{height:e.Em(k.RHD[x])}})}}w.style.width=this.CHTML.pwidth="100%";w.style.minWidth=this.CHTML.mwidth=e.Em(Math.max(0,D))}});b.mtr.Augment({toCommonHTML:function(l,j){l=this.CHTMLcreateNode(l);this.CHTMLhandleStyle(l);this.CHTMLhandleScale(l);if(!j){j={rows:[],labels:[]}}var n=[];j.rows.push(n);n.node=l;j.labels.push(null);for(var k=0,h=this.data.length;k<h;k++){n.push(this.CHTMLaddChild(l,k,j))}this.CHTMLhandleColor(l);return l}});b.mlabeledtr.Augment({toCommonHTML:function(n,k){n=this.CHTMLcreateNode(n);this.CHTMLhandleStyle(n);this.CHTMLhandleScale(n);if(!k){k={rows:[],labels:[]}}var o=[];k.rows.push(o);o.node=n;var j=e.Element("mjx-label");k.labels.push(j);this.CHTMLaddChild(j,0,k);if(this.data[0]){k.labeled=true}for(var l=1,h=this.data.length;l<h;l++){o.push(this.CHTMLaddChild(n,l,k))}this.CHTMLhandleColor(n);return n}});b.mtd.Augment({toCommonHTML:function(l,i){l=this.CHTMLdefaultNode(l,i);e.addElement(l.firstChild,"mjx-strut");if(this.isEmbellished()){var m=this.CoreMO(),h=this.CHTML;if(m.CHTMLcanStretch("Vertical")){h.stretch="V"}else{if(m.CHTMLcanStretch("Horizontal")){h.stretch="H"}}if(h.stretch){var j=m.Get("minsize",true);if(j){if(h.stretch==="V"){var n=h.h+h.d;if(n){var k=this.CHTMLlength2em(j,n)/n;if(k>1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")});
+(function(o,f,m,a){var d;var g=MathJax.Object.isArray;var e,q,h;var k=1,l=0.1,j=0.025,b=0.025;var p={".mjx-chtml":{display:"inline-block","line-height":0,"text-indent":0,"text-align":"left","text-transform":"none","font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","letter-spacing":"normal","word-wrap":"normal","word-spacing":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,margin:0,padding:"1px 0"},".MJXc-display":{display:"block","text-align":"center",margin:"1em 0",padding:0},".mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex]":{display:"inline-table"},".mjx-full-width":{"text-align":"center",display:"table-cell!important",width:"10000em"},".mjx-math":{display:"inline-block","border-collapse":"separate","border-spacing":0},".mjx-math *":{display:"inline-block","-webkit-box-sizing":"content-box!important","-moz-box-sizing":"content-box!important","box-sizing":"content-box!important","text-align":"left"},".mjx-numerator":{display:"block","text-align":"center"},".mjx-denominator":{display:"block","text-align":"center"},".MJXc-stacked":{height:0,position:"relative"},".MJXc-stacked > *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-surd + .mjx-box":{display:"inline-flex"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor",overflow:"visible"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v<s;v++){var y=x.childNodes[v];if(y){if(u.test(y.className)){return y}if(y.id===""){t.push(y)}}}x=t.shift()}return null},preTranslate:function(w){var v=w.jax[this.id],E,B=v.length,H,z,C,F,t,G,s,I;var y=100000,x=false,D=0,u=c.automatic,A=c.width;if(u){x=!!A.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/);if(x){A=A.replace(/\s*container\s*/,"")}else{y=this.defaultWidth}if(A===""){A="100%"}}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}z=H.previousSibling;if(z&&z.className&&String(z.className).substr(0,9)==="mjx-chtml"){z.parentNode.removeChild(z)}if(H.MathJax.preview){H.MathJax.preview.style.display="none"}t=H.MathJax.elementJax;if(!t){continue}t.CHTML={display:(t.root.Get("display")==="block"),preview:(t.CHTML||{}).preview};C=a.Element("mjx-chtml",{id:t.inputID+"-Frame",className:"MathJax_CHTML",isMathJax:true,jaxID:this.id,oncontextmenu:e.Menu,onmousedown:e.Mousedown,onmouseover:e.Mouseover,onmouseout:e.Mouseout,onmousemove:e.Mousemove,onclick:e.Click,ondblclick:e.DblClick,onkeydown:e.Keydown,tabIndex:f.getTabOrder(t)});if(t.CHTML.display){var J=a.Element("mjx-chtml",{className:"MJXc-display",isMathJax:false});J.appendChild(C);C=J}if(f.Browser.noContextMenu){C.ontouchstart=q.start;C.ontouchend=q.end}C.className+=" MJXc-processing";H.parentNode.insertBefore(C,H);F=this.TestSpan.cloneNode(true);F.className+=" mjx-test-"+(t.CHTML.display?"display":"inline");H.parentNode.insertBefore(F,H)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}F=H.previousSibling;t=H.MathJax.elementJax;if(!t){continue}s=a.getFontSize(F);G=F.childNodes[1].offsetHeight/60;D=Math.max(0,t.CHTML.display?F.lastChild.offsetWidth-1:F.lastChild.offsetLeft-F.firstChild.offsetLeft-2);if(G===0||G==="NaN"){G=this.defaultEx;D=this.defaultWidth}if(D===0&&!t.CHTML.display){D=this.defaultWidth}if(x){y=D}I=(this.config.matchFontHeight?G/this.TEX.x_height/s:1);I=Math.floor(Math.max(this.config.minScaleAdjust/100,I)*this.config.scale);t.CHTML.scale=I/100;t.CHTML.fontSize=I+"%";t.CHTML.outerEm=s;t.CHTML.em=this.em=s*I/100;t.CHTML.ex=G;t.CHTML.cwidth=D/this.em;t.CHTML.lineWidth=(u?this.length2em(A,y/this.em,1):y)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}t=H.MathJax.elementJax;if(!t){continue}H.parentNode.removeChild(H.previousSibling);if(H.MathJax.preview){H.MathJax.preview.style.display=""}}w.CHTMLeqn=w.CHTMLlast=0;w.CHTMLi=-1;w.CHTMLchunk=this.config.EqnChunk;w.CHTMLdelay=false},Translate:function(t,x){if(!t.parentNode){return}if(x.CHTMLdelay){x.CHTMLdelay=false;f.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var s=t.MathJax.elementJax,w=s.root,v=document.getElementById(s.inputID+"-Frame");if(!v){return}this.getMetrics(s);if(this.scale!==1){v.style.fontSize=s.CHTML.fontSize}this.initCHTML(w,v);this.savePreview(t);this.CHTMLnode=v;try{w.setTeXclass();w.toCommonHTML(v)}catch(u){while(v.firstChild){v.removeChild(v.firstChild)}delete this.CHTMLnode;this.restorePreview(t);throw u}delete this.CHTMLnode;this.restorePreview(t);if(s.CHTML.display){v=v.parentNode}v.className=v.className.replace(/ [^ ]+$/,"");v.className+=" MJXc-processed";if(t.MathJax.preview){s.CHTML.preview=t.MathJax.preview;delete t.MathJax.preview}x.CHTMLeqn+=(x.i-x.CHTMLi);x.CHTMLi=x.i;if(x.CHTMLeqn>=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;v<s;v++){var u=t[v];if(u&&u.MathJax.elementJax){u.previousSibling.className=u.previousSibling.className.replace(/ [^ ]+$/,"");var w=u.MathJax.elementJax.CHTML;if(w.preview){w.preview.innerHTML="";u.MathJax.preview=w.preview;delete w.preview}}}x.CHTMLlast=x.CHTMLeqn},getJaxFromMath:function(s){if(s.parentNode.className.match(/MJXc-display/)){s=s.parentNode}do{s=s.nextSibling}while(s&&s.nodeName.toLowerCase()!=="script");return f.getJaxFor(s)},getHoverSpan:function(s,t){return s.root.CHTMLnodeElement()},getHoverBBox:function(s,v,w){var x=s.root.CHTML,u=s.CHTML.outerEm;var t={w:x.w*u,h:x.h*u,d:x.d*u};if(x.width){t.width=x.width}return t},Zoom:function(u,B,A,s,y){this.getMetrics(u);var v=a.addElement(B,"mjx-chtml",{style:{"font-size":Math.floor(a.scale*100)+"%"},isMathJax:false});a.CHTMLnode=v;this.idPostfix="-zoom";u.root.toCommonHTML(v);this.idPostfix="";var t=v.style,C=u.root.CHTML;if(C.t>C.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u<z;u++){if(t[u].name==="alpha"&&w.noLowerCase){continue}var x=w["offset"+t[u].offset];if(x&&v>=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i<s.length){y=this.getUnicode(s);var u=this.getCharList(t,y);if(u){v.push.apply(v,u)}}}else{if(t.cache[y]){v=t.cache[y]}else{t.cache[y]=v=this.lookupChar(t,y,w)}}return v},lookupChar:function(v,z,x){var y=v;while(v){for(var u=0,s=v.fonts.length;u<s;u++){var t=this.FONTDATA.FONTS[v.fonts[u]];if(typeof(t)==="string"){this.loadFont(t)}var w=t[z];if(w){this.fixChar(w,z);if(w[5].space){return[{type:"space",w:w[2],font:t}]}return[{type:"char",font:t,n:z}]}else{if(t.Extra){this.findBlock(t,z)}}}v=this.FONTDATA.VARIANT[v.chain];if(v&&v.remap&&v.remap[z]&&x++<n){return this.remapChar(v,z,x)}}return[this.unknownChar(y,z)]},fixChar:function(s,t){if(s.length===5){s[5]={}}if(s.c==null){s[0]/=1000;s[1]/=1000;s[2]/=1000;s[3]/=1000;s[4]/=1000;s.c=this.unicodeChar(t)}return s},findBlock:function(u,y){var t=u.Extra,v=u.file,x;for(var w=0,s=t.length;w<s;w++){if(typeof(t[w])==="number"){if(y===t[w]){x=v;break}}else{if(y<t[w][0]){return}if(y<=t[w][1]){x=v;break}}}if(x){delete u.Extra;this.loadFont(v)}},unknownChar:function(s,v){f.signal.Post(["CommonHTML Jax - unknown char",v,s]);var u="";if(s.bold){u+="B"}if(s.italic){u+="I"}var t=this.FONTDATA.UNKNOWN[u||"R"];if(!t[v]){this.getUnknownChar(t,v)}return{type:"unknown",n:v,font:t}},getUnknownChar:function(t,v){var u=this.unicodeChar(v);var s=this.getHDW(u,t.className);t[v]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];t[v].c=u},styledText:function(t,w){f.signal.Post(["CommonHTML Jax - styled text",w,t]);var u=t.style;var x="_"+(u["font-family"]||t.className||"");if(u["font-weight"]){x+="_"+u["font-weight"]}if(u["font-style"]){x+="_"+u["font-style"]}if(!this.STYLEDTEXT){this.STYLEDTEXT={}}if(!this.STYLEDTEXT[x]){this.STYLEDTEXT[x]={className:t.className||""}}var v=this.STYLEDTEXT[x];if(!v["_"+w]){var s=this.getHDW(w,t.className||"",u);v["_"+w]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];v["_"+w].c=w}return{type:"unknown",n:"_"+w,font:v,style:u,rscale:t.rscale}},getHDW:function(B,u,F){var t=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B]]]);var s=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B,["mjx-box"]]]]);t.firstChild.style.fontSize=s.firstChild.style.fontSize="";var v=5*a.em;var E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;a.CHTMLnode.removeChild(t);a.CHTMLnode.removeChild(s);if(C===0){v=5*a.defaultEm;var A=document.body.appendChild(document.createElement("div"));A.appendChild(t);A.appendChild(s);E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;document.body.removeChild(A)}var z=(C-1000)/v,D=x/v,y=E/v-z;return{h:y,d:z,w:D}},addCharList:function(v,x,y){var w={text:"",className:null,a:0};for(var t=0,s=x.length;t<s;t++){var u=x[t];if(this.charList[u.type]){(this.charList[u.type])(u,v,y,w,s)}}if(w.text!==""){if(v.childNodes.length){this.charList.flushText(v,w)}else{m.addText(v,w.text);if(v.className){v.className+=" "+w.className}else{v.className=w.className}}}y.b=(w.flushed?0:y.a)},charList:{"char":function(D,x,B,u,y){var w=D.font,A=(w.remapCombining||{})[D.n];if(w.className===u.className){A=null}else{if(u.className||(A&&u.text!=="")){this.flushText(x,u)}}if(!u.a){u.a=w.centerline/1000}if(u.a>(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.h<t[0]+j){B.t=B.h=t[0]+j}if(B.d<t[1]+b){B.b=B.d=t[1]+b}if(B.l>B.w+t[3]){B.l=B.w+t[3]}if(B.r<B.w+t[4]){B.r=B.w+t[4]}B.w+=t[2]*(D.rscale||1);if(y==1&&w.skew&&w.skew[D.n]){B.skew=w.skew[D.n]}if(t[5]&&t[5].rfix){this.flushText(x,u).style.marginRight=a.Em(t[5].rfix/1000)}if(A){var z=this.flushText(x,u);var s=(v[D.n]||w[D.n])[4]-(t[4]-t[2]);z.style.marginLeft=a.Em(-t[2]-s);if(s<0){z.style.marginRight=a.Em(-s)}}},space:function(t,s,v,u){if(t.w){if(u.text===""){u.className=t.font.className}this.flushText(s,u).style.marginRight=a.Em(t.w);v.w+=t.w}},unknown:function(t,s,w,u){(this["char"])(t,s,w,u,0);var v=t.font[t.n];if(v[5].a){u.a=v[5].a;if(w.a==null||u.a>w.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i<s.length){var y=this.getUnicode(s);v.push.apply(v,this.getCharList(t,y))}}if(v.length){this.addCharList(u.firstChild,v,w)}w.clean();if(w.d<0){w.D=w.d;w.d=0}if(w.h-w.a){u.firstChild.style[w.h-w.a<0?"marginTop":"paddingTop"]=this.EmRounded(w.h-w.a)}if(w.d>-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y<w;y++){if(t.HW[y][0]>=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&x<J*P.min){x=J*P.min}if(x>J){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&s<y*P.min){s=y*P.min}Q.w=Q.r=s;if(s>y){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v<s;v++){if(t[v]){t[v].style.paddingTop=a.Em(u-w[v].a);t[v].style.paddingBottom=a.Em(y+w[v].a);t[v].style.marginTop=t[v].style.marginBottom=0}}},createChar:function(u,y,w,t){var B="",x={fonts:[y[1]],noRemap:true,cache:{}};if(t&&t===d.VARIANT.BOLD&&this.FONTDATA.FONTS[y[1]+"-Bold"]){x.fonts=[y[1]+"-Bold",y[1]]}if(typeof(y[1])!=="string"){x=y[1]}if(y[0] instanceof Array){for(var z=0,v=y[0].length;z<v;z++){B+=String.fromCharCode(y[0][z])}}else{B=String.fromCharCode(y[0])}if(y[4]){w*=y[4]}var A=this.handleText(u,B,x),s=u.firstChild.style;if(w!==1){s.fontSize=this.Percent(w)}if(y[2]){s.paddingLeft=this.Em(y[2]);A.w+=y[2];A.r+=y[2]}if(y[3]){s.verticalAlign=this.Em(y[3]);A.h+=y[3];if(A.h<0){A.h=0}}if(y[5]){s.marginTop=this.Em(y[5]);A.h+=y[5];A.t+=y[5]}if(y[6]){s.marginBottom=this.Em(y[6]);A.d+=y[6];A.b+=y[6]}return A},length2em:function(w,u,x){if(typeof(w)!=="string"){w=w.toString()}if(w===""){return""}if(w===d.SIZE.NORMAL){return 1}if(w===d.SIZE.BIG){return 2}if(w===d.SIZE.SMALL){return 0.71}if(this.MATHSPACE[w]){return this.MATHSPACE[w]}var t=w.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var s=parseFloat(t[1]||"1"),v=t[2];if(u==null){u=1}if(!x){x=1}x=1/this.em/x;if(v==="em"){return s}if(v==="ex"){return s*this.TEX.x_height}if(v==="%"){return s/100*u}if(v==="px"){return s*x}if(v==="pt"){return s/10}if(v==="pc"){return s*1.2}x*=this.pxPerInch;if(v==="in"){return s*x}if(v==="cm"){return s*x/2.54}if(v==="mm"){return s*x/25.4}if(v==="mu"){return s/18}return s*u},thickness2em:function(s,t){var u=a.TEX.rule_thickness/(t||1);if(s===d.LINETHICKNESS.MEDIUM){return u}if(s===d.LINETHICKNESS.THIN){return 0.67*u}if(s===d.LINETHICKNESS.THICK){return 1.67*u}return this.length2em(s,u,t)},Em:function(s){if(Math.abs(s)<0.001){return"0"}return(s.toFixed(3).replace(/\.?0+$/,""))+"em"},EmRounded:function(s){s=(Math.round(s*a.em)+0.05)/a.em;if(Math.abs(s)<0.0006){return"0em"}return s.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(s){return parseFloat(s)},Px:function(s,t){s*=this.em;if(t&&s<t){s=t}if(Math.abs(s)<0.1){return"0"}return s.toFixed(1).replace(/\.0$/,"")+"px"},Percent:function(s){return(100*s).toFixed(1).replace(/\.?0+$/,"")+"%"},Transform:function(v,t,s){var u=v.style;u.transform=u.WebkitTransform=u.MozTransform=u["-ms-transform"]=t;if(s){u.transformOrigin=u.WebkitTransformOrigin=u.MozTransformOrigin=u["-ms-transform-origin"]=s}},arrayEntry:function(s,t){return s[Math.max(0,Math.min(t,s.length-1))]},removeStyles:["fontSize","fontFamily","fontWeight","fontStyle","fontVariant","font"]});a.BBOX=MathJax.Object.Subclass({Init:function(s){for(var t in s){if(s.hasOwnProperty(t)){this[t]=s[t]}}},clean:function(){if(this.h===-i){this.h=0}if(this.d===-i){this.d=0}if(this.l===i){this.l=0}if(this.r===-i){this.r=0}if(this.t===-i){this.t=0}if(this.b===-i){this.b=0}if(this.D&&this.d>0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}if(s+u*(t.w+(t.L||0)+(t.R||0))>this.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}this.w+=u*(t.w+(t.L||0)+(t.R||0));if(u*t.h>this.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]<u){this[v]=u}}}},{zero:function(){return a.BBOX({h:0,d:0,w:0,l:0,r:0,t:0,b:0,scale:1,rscale:1})},empty:function(s){if(!s){s=a.BBOX.zero()}s.h=s.d=s.r=s.t=s.b=-i;s.w=0;s.l=i;delete s.pwidth;return s},styleAdjust:[["borderTopWidth","h","t"],["borderRightWidth","w","r"],["borderBottomWidth","d","b"],["borderLeftWidth","w","l",0],["paddingTop","h","t"],["paddingRight","w","r"],["paddingBottom","d","b"],["paddingLeft","w","l",0],]});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){d=MathJax.ElementJax.mml;d.mbase.Augment({toCommonHTML:function(t,s){return this.CHTMLdefaultNode(t,s)},CHTMLmultiline:function(){d.mbase.CHTMLautoloadFile("multiline")},CHTMLdefaultNode:function(v,t){if(!t){t={}}v=this.CHTMLcreateNode(v);this.CHTML=a.BBOX.empty();this.CHTMLhandleStyle(v);if(this.isToken){this.CHTMLgetVariant()}this.CHTMLhandleScale(v);var s=Math.max((t.minChildren||0),this.data.length);for(var u=0;u<s;u++){this.CHTMLaddChild(v,u,t)}if(!t.noBBox){this.CHTML.clean()}this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v},CHTMLaddChild:function(x,t,s){var z=this.data[t],w;var u=s.childNodes;if(u instanceof Array){u=u[t]||"span"}if(z){if(u){x=a.addElement(x,u)}w=z.toCommonHTML(x,s.childOptions);if(u&&z.CHTML.rscale!==1){x.style.fontSize=x.firstChild.style.fontSize;x.firstChild.style.fontSize=""}if(!s.noBBox){var y=this.CHTML,v=z.CHTML;y.append(v);if(this.data.length===1){if(v.ic){y.ic=v.ic}if(v.skew){y.skew=v.skew}}else{delete y.ic;delete y.skew}if(v.pwidth){y.pwidth=v.pwidth}}}else{if(s.forceChild){w=a.addElement(x,(u||"mjx-box"))}}return w},CHTMLchildNode:function(t,s){t=t.childNodes[s];if(t.nodeName.toLowerCase()==="a"){t=t.firstChild}return t},CHTMLcoreNode:function(s){if(this.inferRow&&this.data[0]){return this.data[0].CHTMLcoreNode(s.firstChild)}return this.CHTMLchildNode(s,this.CoreIndex())},CHTMLstretchChildV:function(v,u,y){var x=this.data[v];if(x){var z=this.CHTML,t=x.CHTML;if(t.stretch||(t.stretch==null&&x.CHTMLcanStretch("Vertical",u,y))){var s=t.w;t=x.CHTMLstretchV(u,y);z.w+=t.w-s;if(z.w>z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t<s;t++){var x=z[t];if(y[x]==false||(!u[x]&&!y[x]&&w[x]==null&&typeof(v[x])==="undefined")){v.setAttribute(x,this.attr[x])}}}return v},CHTMLhandleScale:function(v){var x=1,u=this.parent,w=(u?u.CHTML.scale:1);var s=this.getValues("scriptlevel","fontsize");s.mathsize=this.Get("mathsize",null,!this.isToken);if(s.scriptlevel!==0){if(s.scriptlevel>2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x<s.scriptminsize){x=s.scriptminsize}}if(this.removedStyles&&this.removedStyles.fontSize&&!s.fontsize){s.fontsize=this.removedStyles.fontSize}if(s.fontsize&&!this.mathsize){s.mathsize=s.fontsize}if(s.mathsize!==1){x*=a.length2em(s.mathsize,1,1)}var t=this.CHTMLvariant;if(t&&t.style&&t.style["font-family"]){x*=(a.config.scale/100)/a.scale}this.CHTML.scale=x;w=this.CHTML.rscale=x/w;if(Math.abs(w-1)<0.001){w=1}if(v&&w!==1){v.style.fontSize=a.Percent(w)}return x},CHTMLhandleStyle:function(v){if(!this.style){return}var u=v.style;u.cssText=this.style;this.removedStyles={};for(var t=0,s=a.removeStyles.length;t<s;t++){var w=a.removeStyles[t];if(u[w]){this.removedStyles[w]=u[w];u[w]=""}}},CHTMLhandleBBox:function(w){var t=this.CHTML,v=w.style;if(this.data.length===1&&(this.data[0].CHTML||{}).pwidth){t.pwidth=this.data[0].CHTML.pwidth;t.mwidth=this.data[0].CHTML.mwidth;v.width="100%"}else{if(t.pwidth){t.mwidth=a.Em(t.w);v.width="100%"}else{if(t.w<0){v.width="0px";v.marginRight=a.Em(t.w)}}}if(!this.style){return}for(var u=0,s=a.BBOX.styleAdjust.length;u<s;u++){var x=a.BBOX.styleAdjust[u];if(x&&v[x[0]]){t.adjust(v[x[0]],x[1],x[2],x[3])}}},CHTMLhandleColor:function(s){if(this.mathcolor){s.style.color=this.mathcolor}else{if(this.color){s.style.color=this.color}}if(this.mathbackground){s.style.backgroundColor=this.mathbackground}else{if(this.background){s.style.backgroundColor=this.background}}},CHTMLhandleSpace:function(s){if(!this.useMMLspacing){var t=this.texSpacing();if(t!==""){this.CHTML.L=this.CHTMLlength2em(t);s.className+=" "+a.SPACECLASS[t]}}},CHTMLhandleText:function(t,u,s){if(t.firstChild&&!this.CHTML){this.CHTML=a.BBOX.empty()}this.CHTML=a.handleText(t,u,s,this.CHTML)},CHTMLgetVariant:function(){var s=this.getValues("mathvariant","fontfamily","fontweight","fontstyle"),u;s.hasVariant=this.Get("mathvariant",true);if(this.removedStyles){u=this.removedStyles;if(u.fontFamily){s.family=u.fontFamily}if(u.fontWeight){s.weight=u.fontWeight}if(u.fontStyle){s.style=u.fontStyle}}if(!s.hasVariant){if(s.fontfamily){s.family=s.fontfamily}if(s.fontweight){s.weight=s.fontweight}if(s.fontstyle){s.style=s.fontstyle}}if(s.weight&&s.weight.match(/^\d+$/)){s.weight=(parseInt(s.weight)>600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){if(u.indentalign==="right"){x.style.marginRight=a.Em(-t)}t*=a.em/a.outerEm;f.Insert(w,({left:{textIndent:a.Em(t)},right:{display:"flex",flexDirection:"row-reverse"},center:{textIndent:a.Em(2*t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,u,{childOptions:{variant:t.mathvariant,remap:this.remap,remapchars:t.remapchars}})}if(!a.isChar(t.text)){delete this.CHTML.skew}else{if(this.CHTML.w===0&&this.CHTML.l<0){this.CHTMLfixCombiningChar(v)}}if(t.largeop){this.CHTMLcenterOp(v)}}this.CHTML.clean();this.CHTMLhandleBBox(v);this.CHTMLhandleSpace(v);this.CHTMLhandleColor(v);return v},CHTMLhandleSpace:function(v){if(this.hasMMLspacing()){var t=this.getValues("scriptlevel","lspace","rspace");t.lspace=Math.max(0,this.CHTMLlength2em(t.lspace));t.rspace=Math.max(0,this.CHTMLlength2em(t.rspace));if(t.scriptlevel>0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.h<a.TEX.x_height){C.h+=a.TEX.x_height-F.h;u.style.marginTop=a.Em(a.TEX.x_height-Math.max(F.h,0.35));F.h=a.TEX.x_height}var A=u,D=0;if(F.ic){D=1.3*F.ic+0.05}if(this.data[this.over]){A=this.CHTMLaddOverscript(z,x,E,D,u,t)}if(this.data[this.under]){this.CHTMLaddUnderscript(B,x,E,D,w,A,t)}else{if(!t){w.appendChild(A)}}this.CHTMLplaceBoxes(u,B,z,E,x);return w},CHTMLgetBBoxes:function(A,x,v){var y,t=this.data.length,z,u=-i,s=u;for(y=0;y<t;y++){A[y]=this.CHTMLbboxFor(y);A[y].x=A[y].y=0;if(this.data[y]){A[y].stretch=this.data[y].CHTMLcanStretch("Horizontal")}z=(y===this.base?1:A[y].rscale);if(y!==this.base){delete A[y].L;delete A[y].R}s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)));if(!A[y].stretch&&s>u){u=s}}if(u===-i){u=s}for(y=0;y<t;y++){if(A[y].stretch){z=(y===this.base?1:A[y].rscale);A[y]=this.data[y].CHTMLstretchH(x[y].firstChild,u/z);A[y].x=A[y].y=0;s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)))}}if(!A[this.base]){A[this.base]=a.BBOX.empty()}return s},CHTMLaddOverscript:function(B,z,F,E,t,s){var D=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var A=z[this.over],G=z[this.base],u=A.rscale;if(!s){var C=a.Element("mjx-stack");C.appendChild(B);C.appendChild(t)}if(A.D){A.d=A.D}if(A.d<0){B.firstChild.style.verticalAlign="top";B.style.height=a.Em(A.h+A.d)}A.x=0;if(F.accent){if(A.w<0.001){A.x+=(A.r-A.l)/2}v=a.TEX.rule_thickness;w=0;if(G.skew){A.x+=u*G.skew;D.skew=u*G.skew;if(A.x+u*A.w>D.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y<v;y++){x=(y===this.base?1:z[y].rscale);var C=x*(z[y].w+(z[y].L||0)+(z[y].R||0));z[y].x+={left:0,center:(t-C)/2,right:t-C}[E.align];if(z[y].x<F){F=z[y].x}}for(y=0;y<v;y++){if(this.data[y]){x=(y===this.base?1:z[y].rscale);if(z[y].x-F){var u=(y===this.base?s:y===this.over?A:B);u.style.paddingLeft=a.Em((z[y].x-F)/x)}D.combine(z[y],z[y].x-F,z[y].y)}}this.CHTML=D},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-op","mjx-under","mjx-over"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.msubsup.Augment({toCommonHTML:function(S,C){var A=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");var D,H,z;if(C&&C.stretch){if(this.data[this.base]){D=a.getNode(S,"mjx-base")}if(this.data[this.sub]){H=a.getNode(S,"mjx-sub")}if(this.data[this.sup]){z=a.getNode(S,"mjx-sup")}E=a.getNode(S,"mjx-stack")}else{var K=["mjx-base","mjx-sub","mjx-sup"];if(this.sup===1){K[1]=K[2]}S=this.CHTMLdefaultNode(S,{childNodes:K,noBBox:true,forceChild:true,minChildren:3});D=S.childNodes[this.base];H=S.childNodes[this.sub];z=S.childNodes[this.sup];if(!this.CHTMLnotEmpty(this.data[this.sub])){S.removeChild(H);H=null}if(!this.CHTMLnotEmpty(this.data[this.sup])){S.removeChild(z);z=null}if(S.childNodes.length===3){var E=a.addElement(S,"mjx-stack");E.appendChild(z);E.appendChild(H)}}var F=[],G=a.BBOX.empty(this.CHTML);for(var V=0,T=this.data.length;V<T;V++){F[V]=this.CHTMLbboxFor(V)}var y=F[this.base]||a.BBOX.empty(),P=F[this.sub],W=F[this.sup];var B=(H?P.rscale:1),w=(z?W.rscale:1);G.combine(y,0,0);var X=a.TEX.x_height,N=a.TEX.scriptspace;var Q=a.TEX.sup_drop*w,O=a.TEX.sub_drop*B;var L=y.h-Q,J=y.d+O,Y=0,R;if(y.ic){G.w-=y.ic;D.style.marginRight=a.Em(-y.ic);Y=1.3*y.ic+0.05}var U=this.data[this.base];if(U){if((U.type==="mrow"||U.type==="mstyle")&&U.data.length===1){U=U.data[0]}if(U.type==="mi"||U.type==="mo"){if(a.isChar(U.data.join(""))&&y.rscale===1&&!y.sH&&!U.Get("largeop")){L=J=0}}}A.subscriptshift=(A.subscriptshift===""?0:this.CHTMLlength2em(A.subscriptshift));A.superscriptshift=(A.superscriptshift===""?0:this.CHTMLlength2em(A.superscriptshift));var I=G.w;if(H){P.w+=N}if(z){W.w+=N}if(!z){if(H){J=Math.max(J,a.TEX.sub1,B*P.h-(4/5)*X,A.subscriptshift);H.style.verticalAlign=a.Em(-J/B);H.style.paddingRight=a.Em(N/B);G.combine(P,I,-J)}}else{if(!H){R=a.TEX[(A.displaystyle?"sup1":(A.texprimestyle?"sup3":"sup2"))];L=Math.max(L,R,w*W.d+(1/4)*X,A.superscriptshift);z.style.verticalAlign=a.Em(L/w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);G.combine(W,I+Y,L)}else{J=Math.max(J,a.TEX.sub2);var M=a.TEX.rule_thickness;if((L-w*W.d)-(B*P.h-J)<3*M){J=3*M-L+w*W.d+B*P.h;Q=(4/5)*X-(L-w*W.d);if(Q>0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(K<L){I+=(L-K)/2;G+=(L-K)/2}}else{L=Math.max((O?2:0)*M+J,J/2+1.5*M);J=Math.max(J,M);K=(I-P.d*F)-(T+J/2);if(K<L){I+=(L-K)}K=(T-J/2)-(B.h*z-G);if(K<L){G+=(L-K)}P.L=P.R=B.L=B.R=0.1;var A=a.addElement(y,"mjx-line",{style:{"border-bottom":a.Px(J*C.scale,1)+" solid",top:a.Em(-J/2-T)}})}C.combine(P,0,I);C.combine(B,0,-G);C.clean();y.style.width=a.Em(C.w);D.style.width=a.Em(C.w/F);w.style.width=a.Em(C.w/z);if(A){A.style.width=y.style.width}D.style.top=a.Em(-C.h/F);w.style.bottom=a.Em(-C.d/z);a.addElement(N,"mjx-vsize",{style:{height:a.Em(C.h+C.d),verticalAlign:a.Em(-C.d)}})}if(!this.texWithDelims){var Q=a.TEX.nulldelimiterspace;y.style.padding="0 "+a.Em(Q);C.l+=Q;C.r+=Q;C.w+=2*Q}return N},CHTMLcanStretch:function(s){return false}});d.msqrt.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w,{childNodes:["mjx-box","mjx-root"],forceChild:true,noBBox:true});var v=w.firstChild||a.Element("mjx-box");var E=a.addElement(w,"mjx-box");E.appendChild(v);var F=this.CHTMLbboxFor(0),C=a.BBOX.empty(this.CHTML);var G=a.TEX.rule_thickness,y=a.TEX.surd_height,u=G,s,D;if(this.Get("displaystyle")){u=a.TEX.x_height}s=G+u/4;D=F.h+F.d+s+G;var z=a.Element("mjx-surd");E.insertBefore(z,v);var A=a.createDelimiter(z,8730,[D-0.04,D]);if(A.h+A.d>D){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,z.scale)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9*t)+0.6*t+Math.max(0,u.d*u.scale-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,"sep"+u,{});this.CHTMLaddChild(v,u,{})}this.CHTMLaddChild(v,"close",{});var t=this.CHTML.h,w=this.CHTML.d;this.CHTMLstretchChildV("open",t,w);for(u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV("sep"+u,t,w);this.CHTMLstretchChildV(u,t,w)}this.CHTMLstretchChildV("close",t,w);this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mrow.Augment({toCommonHTML:function(w,t){t=t||{};w=this.CHTMLdefaultNode(w);var z=this.CHTML,v=z.h,x=z.d,y;for(var u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV(u,v,x);if(this.data[u]&&this.data[u].CHTML&&this.data[u].CHTML.w<0){y=true}}if(this.CHTMLlineBreaks()){this.CHTMLmultiline(w);if(t.autowidth){w.style.width=""}}else{if(y&&z.w){w.style.width=a.Em(Math.max(0,z.w))}if(z.w<0){w.style.marginRight=a.Em(z.w)}}return w},CHTMLlineBreaks:function(){if(!this.parent.linebreakContainer){return false}return(c.automatic&&this.CHTML.w>a.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML);
+MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.9";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;q<n;q++){var B=this.data[q],A=(B.type==="mtr"?0:c);y[q]=r;h[q]=t;for(var p=A,v=B.data.length+A;p<v;p++){if(l[p]==null){l[p]=-f;if(p>w){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;q<n;q++){y[q]=x;h[q]=o}}k.H=y;k.D=h;k.W=l,k.J=w},CHTMLgetAttributes:function(v,j){var l=d(v.columnspacing),x=d(v.rowspacing),t=d(v.columnalign),r=d(v.rowalign),k=d(v.columnlines),w=d(v.rowlines),o=d(v.columnwidth),n=[],q,p,u=j.J,s=j.rows.length-1;for(q=0,p=l.length;q<p;q++){l[q]=this.CHTMLlength2em(l[q])}for(q=0,p=x.length;q<p;q++){x[q]=this.CHTMLlength2em(x[q])}while(l.length<u){l.push(l[l.length-1])}while(t.length<=u){t.push(t[t.length-1])}while(k.length<u){k.push(k[k.length-1])}while(o.length<=u){o.push(o[o.length-1])}while(x.length<s){x.push(x[x.length-1])}while(r.length<=s){r.push(r[r.length-1])}while(w.length<s){w.push(w[w.length-1])}t[c]=(v.side.substr(0,1)==="l"?"left":"right");for(q=0;q<=s;q++){var y=this.data[q];n[q]=[];if(y.rowalign){r[q]=y.rowalign}if(y.columnalign){n[q]=d(y.columnalign);while(n[q].length<=u){n[q].push(n[q][n[q].length-1])}}}var h=d(v.framespacing);if(h.length!=2){h=d(this.defaults.framespacing)}h[0]=Math.max(0,this.CHTMLlength2em(h[0]));h[1]=Math.max(0,this.CHTMLlength2em(h[1]));if(v.columnlines.replace(/none/g,"").replace(/ /g,"")!==""||v.rowlines.replace(/none/g,"").replace(/ /g,"")!==""){v.fspace=true}if(v.frame===b.LINES.NONE){delete v.frame}else{v.fspace=true}if(v.frame){h[0]=Math.max(0,h[0]);h[1]=Math.max(0,h[1])}if(v.fspace){l[u]=h[0];x[s]=h[1]}else{l[u]=x[s]=0}k[u]=w[s]=b.LINES.NONE;j.CSPACE=l;j.RSPACE=x;j.CALIGN=t;j.RALIGN=r;j.CLINES=k;j.RLINES=w;j.CWIDTH=o;j.RCALIGN=n;j.FSPACE=h},CHTMLadjustCells:function(l,r){var S=r.rows,W=r.CSPACE,o=r.CLINES,x=r.RSPACE,F=r.RLINES,V=r.CALIGN,q=r.RALIGN,G=r.RCALIGN;W[r.J]*=2;x[S.length-1]*=2;var p="0",I,t,z,N,n,P,U=0;if(l.fspace){U=r.FSPACE[1];p=e.Em(r.FSPACE[1])}r.RHD=[];r.RH=[];for(var Q=0,K=S.length;Q<K;Q++){var w=S[Q],v=this.data[Q];I=x[Q]/2;N=null;z="0";if(F[Q]!==b.LINES.NONE&&F[Q]!==""){N=r.t+" "+F[Q]}if(N||(o[O]!==b.LINES.NONE&&o[O]!=="")){while(w.length<=r.J){w.push(e.addElement(w.node,"mjx-mtd",null,[["span"]]))}}r.RH[Q]=U+r.H[Q];U=Math.max(0,I);r.RHD[Q]=r.RH[Q]+U+r.D[Q];I=e.Em(U);if(l.fspace){z=e.Em(r.FSPACE[0])}for(var O=0,y=w.length;O<y;O++){var E=(v.type==="mtr"?0:c);var J=v.data[O-E]||{CHTML:e.BBOX.zero()};var k=w[O].style;n=J.CHTML;t=W[O]/2;if(o[O]!==b.LINES.NONE){k.borderRight=r.t+" "+o[O];t-=1/e.em/2}t=e.Em(Math.max(0,t));k.padding=p+" "+t+" 0px "+z;if(N){k.borderBottom=N}z=t;P=(J.rowalign||(this.data[Q]||{}).rowalign||q[Q]);var A=Math.max(1,n.h),C=Math.max(0.2,n.d),h=(r.H[Q]+r.D[Q])-(A+C),u=w[O].firstChild.style;if(P===b.ALIGN.TOP){if(h){u.marginBottom=e.Em(h)}k.verticalAlign="top"}else{if(P===b.ALIGN.BOTTOM){k.verticalAlign="bottom";if(h){u.marginTop=e.Em(h)}}else{if(P===b.ALIGN.CENTER){if(h){u.marginTop=u.marginBottom=e.Em(h/2)}k.verticalAlign="middle"}else{if(A!==r.H[Q]){u.marginTop=e.Em(r.H[Q]-A)}}}}P=(J.columnalign||G[Q][O]||V[O]);if(P!==b.ALIGN.CENTER){k.textAlign=P}}w.node.style.height=e.Em(r.RHD[Q]);p=I}W[r.J]/=2;x[S.length-1]/=2},CHTMLalignV:function(w,k,o){var m,t=k.rows.length,v=k.H,j=k.D,x=k.RSPACE;if(typeof(w.align)!=="string"){w.align=String(w.align)}if(w.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){m=parseInt(RegExp.$3||"0");w.align=RegExp.$1;if(m<0){m+=k.rows.length+1}if(m>t||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q<t;q++){var r=v[q],s=j[q];p+=r+s+x[q];if(m){if(q===m-1){l+=({top:r+s,bottom:0,center:(r+s)/2,baseline:s,axis:u+s})[w.align]+x[q]}if(q>=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n||(y&&C)){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;H<B;H++){F=h[H];v=Math.max(o[F],this.CHTMLlength2em(I[F],G));k+=v-o[F];o[F]=v;t[F].style.width=e.Em(v)}E+=k}if(!C){D=s}if(G>E&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;H<B;H++){F=D[H];o[F]+=x;t[F].style.width=e.Em(o[F])}E=G}}}o[c]=r.W[c];r.W=o;r.R=E;if(y){A.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=e.Em(E);A.firstChild.style.width=l.width;A.firstChild.style.margin="auto"}},CHTMLstretchCells:function(x,l){var y=l.rows,w=l.H,k=l.D,m=l.W,t=l.J,s=y.length-1;for(var o=0;o<=s;o++){var z=y[o],q=this.data[o];var p=w[o],r=k[o];for(var n=0;n<=t;n++){var v=z[n],u=q.data[n];if(!u){continue}if(u.CHTML.stretch==="V"){u.CHTMLstretchV(p,r)}else{if(u.CHTML.stretch==="H"){u.CHTMLstretchH(v,m[n])}}}}},CHTMLaddLabels:function(h,k,w,B){var q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(q.indentalignfirst!==b.INDENTALIGN.INDENTALIGN){q.indentalign=q.indentalignfirst}if(q.indentalign===b.INDENTALIGN.AUTO){q.indentalign=a.displayAlign}if(q.indentshiftfirst!==b.INDENTSHIFT.INDENTSHIFT){q.indentshift=q.indentshiftfirst}if(q.indentshift==="auto"){q.indentshift="0"}var z=this.CHTMLlength2em(q.indentshift,e.cwidth);var A=this.CHTMLlength2em(h.minlabelspacing,0.8);var p=A+k.W[c],y=0,D=k.R;var n=this.CHTMLlength2em(a.displayIndent,e.cwidth);var t=(k.CALIGN[c]===b.INDENTALIGN.RIGHT?-1:1);if(q.indentalign===b.INDENTALIGN.CENTER){D+=2*(p-t*(z+n));z+=n}else{if(k.CALIGN[c]===q.indentalign){if(n<0){y=t*n;n=0}z+=t*n;if(p>t*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x<v;x++){if(l[x]&&this.data[x].data[0]){C.appendChild(l[x]);var r=this.data[x].data[0].CHTML;j=k.RH[x]-Math.max(1,r.h);if(j){l[x].firstChild.firstChild.style.marginTop=e.Em(j)}l[x].style.height=e.Em(k.RHD[x])}else{e.addElement(C,"mjx-label",{style:{height:e.Em(k.RHD[x])}})}}w.style.width=this.CHTML.pwidth="100%";w.style.minWidth=this.CHTML.mwidth=e.Em(Math.max(0,D))}});b.mtr.Augment({toCommonHTML:function(l,j){l=this.CHTMLcreateNode(l);this.CHTMLhandleStyle(l);this.CHTMLhandleScale(l);if(!j){j={rows:[],labels:[]}}var n=[];j.rows.push(n);n.node=l;j.labels.push(null);for(var k=0,h=this.data.length;k<h;k++){n.push(this.CHTMLaddChild(l,k,j))}this.CHTMLhandleColor(l);return l}});b.mlabeledtr.Augment({toCommonHTML:function(n,k){n=this.CHTMLcreateNode(n);this.CHTMLhandleStyle(n);this.CHTMLhandleScale(n);if(!k){k={rows:[],labels:[]}}var o=[];k.rows.push(o);o.node=n;var j=e.Element("mjx-label");k.labels.push(j);this.CHTMLaddChild(j,0,k);if(this.data[0]){k.labeled=true}for(var l=1,h=this.data.length;l<h;l++){o.push(this.CHTMLaddChild(n,l,k))}this.CHTMLhandleColor(n);return n}});b.mtd.Augment({toCommonHTML:function(l,i){l=this.CHTMLdefaultNode(l,i);e.addElement(l.firstChild,"mjx-strut");if(this.isEmbellished()){var m=this.CoreMO(),h=this.CHTML;if(m.CHTMLcanStretch("Vertical")){h.stretch="V"}else{if(m.CHTMLcanStretch("Horizontal")){h.stretch="H"}}if(h.stretch){var j=m.Get("minsize",true);if(j){if(h.stretch==="V"){var n=h.h+h.d;if(n){var k=this.CHTMLlength2em(j,n)/n;if(k>1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_CHTML-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_CHTML-full.js");
diff --git a/config/MML_CHTML.js b/config/MML_CHTML.js
index c4b85cc9b8..17b0a59aaf 100644
--- a/config/MML_CHTML.js
+++ b/config/MML_CHTML.js
@@ -33,17 +33,105 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_CHTML.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_CHTML.js");
diff --git a/config/MML_HTMLorMML-full.js b/config/MML_HTMLorMML-full.js
index 54d1d49c49..cdaf92e523 100644
--- a/config/MML_HTMLorMML-full.js
+++ b/config/MML_HTMLorMML-full.js
@@ -40,22 +40,110 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
 (function(c,g){var f="2.7.0";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(l,c,g,e){var f,i=c.Browser.isMSIE;var h,b,d,k;c.Register.StartupHook("MathZoom Ready",function(){k=MathJax.Extension.MathZoom});var j=function(m,o){var n=e.Element("span");m="padding"+m;if(o){n.style.cssText=(o.getAttribute("style")||"");if(n.style.padding===""&&(n.style[m]||"")===""){n.style[m]="0px";o.setAttribute("style",n.style.cssText)}}};var a=function(r,m,p){if(r){var o=e.Element("span");o.style.cssText=(r.getAttribute("style")||"");if(o.style.padding===""){var q={paddingLeft:p,paddingTop:m,paddingRight:"0px",paddingBottom:"0px"};for(var n in q){if(q.hasOwnProperty(n)){if((o.style[n]||"")===""){o.style[n]=q[n]}}}}r.setAttribute("style",o.style.cssText)}};l.Augment({config:{styles:{".MathJax_MathML":{"font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},"span.MathJax_MathML":{display:"inline!important"},"div.MathJax_MathML":{display:"block!important"},".MathJax_mmlExBox":{display:"block!important",overflow:"hidden",height:"1px",width:"60ex","min-height":0,"max-height":"none",padding:0,border:0,margin:0}}},handlesVariants:false,settings:c.config.menuSettings,ex:1,scale:1,adjustWidths:[],Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(c.config.displayAlign!=="center"){var o=c.config.displayAlign,m=c.config.displayIndent;var n={"text-align":o+"!important"};n["margin-"+o]=m+"!important";c.Insert(this.config.styles,{"div.MathJax_MathML":n,"div.MathJax_MathML math":{"text-align":o},"div.MathJax_MathContainer > span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!c.Browser.hasMathPlayer){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(c.Browser.hasMathPlayer){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){if(!this.config.noMathPlayerWarning){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}if(!this.initialized){this.InitializeMML()}r=y.previousSibling;if(r&&r.className==="MathJax_MathML"){r.parentNode.removeChild(r)}n=y.MathJax.elementJax;if(!n){continue}z=n.root;n.NativeMML={};var x=(z.Get("display")==="block"?"div":"span");A=e.Element(x,{className:"MathJax_MathML",id:n.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);y.parentNode.insertBefore(A,y);if(!i){y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y)}}for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}n=y.MathJax.elementJax;if(!n){continue}if(!i){w=y.previousSibling;v=w.firstChild.offsetWidth/60;s=w.lastChild.offsetWidth/60;if(v===0||v==="NaN"){v=this.defaultEx;s=this.defaultMEx}q=(this.config.matchFontHeight&&s>1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;u<p;u++){y=t[u];if(y.parentNode&&y.MathJax.elementJax){y.parentNode.removeChild(y.previousSibling)}}}},Translate:function(s){if(!s.parentNode){return}var m=s.MathJax.elementJax,t=m.root;var u=document.getElementById(m.inputID+"-Frame");if(!u){return}var n=u.firstChild,q=n.firstChild;this.ex=m.NativeMML.ex||this.defaultEx;this.scale=m.NativeMML.scale||1;if(this.scale!==1){u.style.fontSize=m.NativeMML.fontSize}try{t.toNativeMML(q,m)}catch(r){if(r.restart){while(q.firstChild){q.removeChild(q.firstChild)}}throw r}if(i){if(n.addEventListener){for(var o in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(o)){n.addEventListener(o,this.MSIE9event,true)}}}else{var p=(this.config.showMathMenuMSIE!=null?this:c).config;if(p.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(n)}else{n.style.position="";q.firstChild.onmousedown=this.MSIEaltMenu}}}else{n.oncontextmenu=h.Menu;n.onmouseover=h.Mouseover;n.onmouseout=h.Mouseout;n.onmousedown=h.Mousedown;n.onclick=h.Click;n.ondblclick=h.DblClick;n.onkeydown=h.Keydown;n.tabIndex=c.getTabOrder(m);if(c.Browser.noContextMenu){n.ontouchstart=b.start;n.ontouchend=b.end}}},postTranslate:function(n){if(this.forceReflow){var m=(document.styleSheets||[])[0]||{};m.disabled=true;m.disabled=false}},Remove:function(m){var n=m.SourceElement();if(!n){return}n=n.previousSibling;if(!n){return}if(n.className.match(/MathJax_MathML/)){n.parentNode.removeChild(n)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",isFullWidth:function(r){if(!r){return}var q=r.getAttribute("width")||(String(r.getAttribute("style")).match(/(?:^| )width: *([^; ]*)/)||[])[1];if(q){return !!q.match(/%/)}if(r.nodeName.match(/^(semantics|math|mstyle)$/)){q=this.isFullWidth(r.firstChild)}else{if(r.nodeName.toLowerCase()==="mrow"){for(var o=0,n=r.childNodes.length;o<n&&!q;o++){q=this.isFullWidth(r.childNodes[o])}}}if(q){var p="width:100%; "+(r.getAttribute("style")||"");r.setAttribute("style",p.replace(/ +$/,""))}return q},MSIEoverlay:function(m){var n=m.firstChild;if(n.nodeName.toLowerCase()==="span"){n=n.firstChild}var o=this.getHoverBBox(null,n,{});e.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:d.Px(-o.w),top:d.Px(-o.h-(o.y||0)-1),width:d.Px(o.w),height:d.Px(o.h+o.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);c.Insert(m,{msieMath:n,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var n=window.event;var m=l.MSIEevents[n.type];if(l[m]&&l[m](n,this)===false){return false}if(k&&k.HandleEvent(n,m,this)===false){return false}if(n.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(m==="ContextMenu"||m==="Mouseover"||m==="Mouseout"){this.msieMath.fireEvent("on"+n.type,n)}}return h.False(n)},MSIEaltMenu:function(){var m=this.parentNode.parentNode;while(!m.jaxID){m=m.parentNode}h.AltContextMenu(window.event,m)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(n){if(n.type==="contextmenu"&&l.settings.mpContext){return true}if(n.type==="mouseup"&&l.settings.mpMouse){return true}if(n.type==="click"&&l.settings.mpContext){return h.AltContextMenu(n,this)}var m=l.MSIE9events[n.type];return h[m].call(this,n)},getJaxFromMath:function(m){m=m.parentNode;do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return c.getJaxFor(m)},getHoverSpan:function(m,n){return n.firstChild},getHoverBBox:function(m,n,o){return h.getBBox(n.parentNode)},Zoom:function(n,u,s,m,r){n.root.toNativeMML(u);if(this.msieIE8HeightBug){u.style.position="absolute"}if(l.widthBug){u.style.width=u.parentNode.style.width=""}if(u.parentNode.style.width.match(/%$/)){u.parentNode.style.minWidth=Math.ceil(3*r/4)+"px"}var p=s.offsetWidth||s.scrollWidth,v=s.offsetHeight||s.scrollHeight;var t=u.offsetWidth,q=u.offsetHeight;if(l.widthBug||u.style.width.match(/%/)){var o=u.firstChild.firstChild.scrollWidth;if(o>t){t=o;u.parentNode.style.width=u.style.minWidth=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}r.appendChild(p)},NativeMMLattributes:function(w){var r=(this.type==="mstyle"?f.math.prototype.defaults:this.defaults);var t=(this.attrNames||f.copyAttributeNames),v=f.skipAttributes,o=f.copyAttributes;if(!this.attrNames){for(var p in r){if(!v[p]&&!o[p]&&r.hasOwnProperty(p)){if(this[p]!=null&&this[p]!==r[p]){if(this.Get(p,null,1)!==this[p]){w.setAttribute(p,this.NativeMMLattribute(this[p]))}}}}}for(var s=0,q=t.length;s<q;s++){if(o[t[s]]===1&&!r.hasOwnProperty(t[s])){continue}var u=(this.attr||{})[t[s]];if(u==null){u=this[t[s]]}if(u!=null){w.setAttribute(t[s],this.NativeMMLattribute(u))}}this.NativeMMLclass(w)},NativeMMLclass:function(o){var q=[];if(this["class"]){q.push(this["class"])}if(this.isa(f.TeXAtom)){var p=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(p){q.push("MJX-TeXAtom-"+p);if(p==="OP"&&!this.movablelimits){q.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){q.push("MJX"+this.mathvariant)}if(this.variantForm){q.push("MJX-variant")}if(q.length){o.setAttribute("class",q.join(" "))}},NativeMMLattribute:function(o){o=String(o);if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}else{if(o.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){o=(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.NativeMMLvariants[o]){o=this.NativeMMLvariants[o]}}}return o},NativeMMLvariants:{"-tex-caligraphic":f.VARIANT.SCRIPT,"-tex-caligraphic-bold":f.VARIANT.BOLDSCRIPT,"-tex-oldstyle":f.VARIANT.NORMAL,"-tex-oldstyle-bold":f.VARIANT.BOLD,"-tex-mathit":f.VARIANT.ITALIC},NativeMMLelement:function(o){var p=(c.Browser.mpNamespace?document.createElement("m:"+o):(document.createElementNS?document.createElementNS(l.MMLnamespace,o):document.createElement(o)));p.isMathJax=true;return p}});f.mrow.Augment({toNativeMML:function(s){var r,p;if(this.inferred&&this.parent.inferRow){for(r=0,p=this.data.length;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(s)}else{s.appendChild(this.NativeMMLelement("mrow"))}}}else{if(l.stretchyMoBug&&(this.open||this.close)){var q=this.NativeMMLelement("mfenced");this.NativeMMLattributes(q);r=0,p=this.data.length;if(this.open){q.setAttribute("open",this.open);r++}if(this.close){q.setAttribute("close",this.close);p--}var o=q;if(p-r+1>1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}s.appendChild(o)}else{this.SUPER(arguments).toNativeMML.call(this,s)}}}});f.msubsup.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.sup]==null){r="msub"}if(this.data[this.sub]==null){r="msup"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});f.munderover.Augment({toNativeMML:function(s){var r=this.type;var t=this.data[this.base];if(t&&t.isa(f.TeXAtom)&&t.movablelimits&&!t.Get("displaystyle")){r="msubsup";if(this.data[this.under]==null){r="msup"}if(this.data[this.over]==null){r="msub"}}else{if(this.data[this.under]==null){r="mover"}if(this.data[this.over]==null){r="munder"}}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});if(!i){var m=c.SplitList;f.mtable.Augment({toNativeMML:function(z){var s,q;if(l.tableSpacingBug){var A=this.getValues("rowspacing","columnspacing");this.nMMLtopPadding=m("0px "+A.rowspacing);this.nMMLleftPadding=m("0px "+A.columnspacing);var y=this.nMMLtopPadding,v=y.length;for(s=0,q=this.data.length;s<q;s++){if(this.data[s]){this.data[s].nMMLtopPadding=y[s<v?s:v-1]}}}if(l.tableLabelBug){for(s=0,q=this.data.length;s<q;s++){if(this.data[s]&&this.data[s].isa(f.mlabeledtr)){var u=c.config.displayAlign.charAt(0),w=this.Get("side").charAt(0);this.nMMLhasLabels=true;this.nMMLlaMatch=(u===w);this.nMMLforceWidth=(u==="c"||!!((this.width||"").match("%")));break}}}if(this.width&&this.ffTableWidthBug){var B=(this.style||"").replace(/;\s*$/,"").split(";");if(B[0]===""){B.shift()}B.push("width:"+this.width);this.style=B.join(";")}this.SUPER(arguments).toNativeMML.call(this,z);if(this.nMMLhasLabels){var r=z.firstChild;if(this.nMMLforceWidth||w!=="r"){var p=(u!=="l"?1:0)+(w==="l"?1:0);if(p){var t={columnalign:"left",columnwidth:"auto",columnspacing:"0px",columnlines:"none"};for(var o in t){if(t.hasOwnProperty(o)&&this[o]){var x=[t[o],t[o]].slice(2-p).join(" ")+" ";r.setAttribute(o,x+r.getAttribute(o))}}}}if(this.nMMLforceWidth||!this.nMMLlaMatch){r.setAttribute("width","100%")}}}});f.mtr.Augment({toNativeMML:function(v){this.SUPER(arguments).toNativeMML.call(this,v);var p=v.lastChild;if(l.tableSpacingBug){var r=this.parent.nMMLleftPadding,t=r.length;for(var w=p.firstChild,q=0;w;w=w.nextSibling,q++){a(w,this.nMMLtopPadding,r[q<t?q:t-1])}}if(l.tableLabelBug){var o=this.parent.nMMLforceWidth,u=this.parent.Get("side").charAt(0),s=c.config.displayAlign.charAt(0);if(this.parent.nMMLhasLabels&&p.firstChild){if(o||u!=="r"){j("Left",p.firstChild);if(s!=="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}if(u==="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}}if(o||u!=="l"){j("Right",p.lastChild)}}}}});f.mlabeledtr.Augment({toNativeMML:function(C){var t=this.NativeMMLelement("mtr");this.NativeMMLattributes(t);for(var u=1,s=this.data.length;u<s;u++){if(this.data[u]){this.data[u].toNativeMML(t)}else{t.appendChild(this.NativeMMLelement("mtd"))}}if(l.tableSpacingBug){var v=this.parent.nMMLleftPadding,y=v.length;u=0;for(var D=t.firstChild;D;D=D.nextSibling,u++){a(D,this.nMMLtopPadding,v[u<y?u:y-1])}}if(l.tableLabelBug&&this.data[0]){var z=this.parent.Get("side").charAt(0),x=c.config.displayAlign.charAt(0),q=c.config.displayIndent;this.data[0].toNativeMML(t);var A=t.lastChild,r=A;if(z===x){A.setAttribute("style","width:"+q);A.setAttribute("columnalign",c.config.displayAlign)}else{r=this.NativeMMLelement("mpadded");r.setAttribute("style","width:0");r.setAttribute("width","0px");r.appendChild(A.firstChild);A.appendChild(r)}j("",A);t.removeChild(A);var o=100,p=this.parent.nMMLforceWidth;if((this.parent.width||"").match(/%/)){o-=parseFloat(this.parent.width)}var B=o;if(p||z!=="r"){j("Left",t.firstChild);if(x!=="l"){if(x==="c"){B/=2}o-=B;t.insertBefore(this.NativeMMLelement("mtd"),t.firstChild).setAttribute("style","padding:0;width:"+B+"%")}if(z==="l"){t.insertBefore(A,t.firstChild)}}if(p||z!=="l"){j("Right",t.lastChild);if(x!=="r"){t.appendChild(this.NativeMMLelement("mtd")).setAttribute("style","padding:0;width:"+o+"%")}if(z==="r"){if(z!==x){r.setAttribute("lspace","-1width")}t.appendChild(A)}}}C.appendChild(t)}});f.mtd.Augment({toNativeMML:function(r){var p=r.appendChild(this.NativeMMLelement(this.type));this.NativeMMLattributes(p);if(l.mtdWidthBug){l.adjustWidths.push(p);p=p.appendChild(this.NativeMMLelement("mrow"))}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}}});f.mspace.Augment({toNativeMML:function(q){this.SUPER(arguments).toNativeMML.call(this,q);if(l.spaceWidthBug&&this.width){var r=q.lastChild;var p=r.getAttribute("width");var o=(r.getAttribute("style")||"").replace(/;?\s*/,"; ");r.setAttribute("style",o+"width:"+p)}}});f.mn.Augment({NativeMMLremapMinus:function(o){return o.replace(/^-/,"\u2212")},toNativeMML:function(s){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);var r=this.NativeMMLremapMinus;for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p,r);r=null}}s.appendChild(p)}});var n=g.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");l.Augment({config:{styles:{'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+n+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Caligraphic-Bold.otf')"}}}});if(!this.handlesVariants){l.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},"@font-face /*3*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+n+"/MathJax_AMS-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Script-WEB",src:"url('"+n+"/MathJax_Script-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+n+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Fraktur-Bold.otf')"}}}})}}f.math.Augment({toNativeMML:function(y,p){var A=this.NativeMMLelement(this.type),w=A;var u=(p?MathJax.InputJax[p.inputJax].annotationEncoding:null);var v,r;l.adjustWidths=[];A.setAttribute("xmlns",l.MMLnamespace);this.NativeMMLattributes(A);if(l.widthBug){A=A.appendChild(this.NativeMMLelement("mrow"))}if(u){A=A.appendChild(this.NativeMMLelement("semantics"));A.appendChild(this.NativeMMLelement("mrow"));var s=A.appendChild(this.NativeMMLelement("annotation"));s.appendChild(document.createTextNode(p.originalText));s.setAttribute("encoding",u);A=A.firstChild}for(v=0,r=this.data.length;v<r;v++){if(this.data[v]){this.data[v].toNativeMML(A)}else{A.appendChild(this.NativeMMLelement("mrow"))}}var t=((this.data[0]||{data:[]}).data[0]||{});if(t.nMMLhasLabels){if(t.nMMLforceWidth||!t.nMMLlaMatch){A.setAttribute("style","width:100%");if(u){A.parentNode.setAttribute("style","width:100%")}}if(t.nMMLlaMatch){if(y.parentNode.parentNode.nodeName.toLowerCase()==="div"){y.parentNode.parentNode.style.setProperty("margin-"+c.config.displayAlign,"0px","important")}}}var x=l.isFullWidth(w);if(x){y.style.width=y.parentNode.style.width="100%"}y.appendChild(w);if(l.widthBug&&!x){y.style.width=(w.firstChild.scrollWidth/l.ex/l.scale).toFixed(3)+"ex";if(p){p.NativeMML.scrollWidth=w.firstChild.scrollWidth}}if(l.adjustWidths.length){var z=[];for(v=0,r=l.adjustWidths.length;v<r;v++){A=l.adjustWidths[v];var o=A.getAttribute("style")||"";if(!o.match(/(^|;)\s*min-width:/)){var q=A.firstChild.scrollWidth;z.push(q);q=(q/l.ex).toFixed(3)+"ex";o=o.replace(/;?\s*$/,"; ");A.setAttribute("style",o+"min-width:"+q)}}if(!p){p=c.getJaxFor(y)}if(p){p.NativeMML.mtds=z}w.MathJaxMtds=l.adjustWidths;l.adjustWidths=[]}}});f.mfenced.Augment({toNativeMML:function(w){if(!l.mfencedBug){this.SUPER(arguments).toNativeMML.call(this,w);return}var t=c.Browser.isOpera;var u,p,r;var q=this.getValues("open","close","separators");q.open=q.open.replace(/^\s+/,"").replace(/\s+$/,"");q.close=q.close.replace(/^\s+/,"").replace(/\s+$/,"");q.separators=q.separators.replace(/\s+/g,"").split("");if(q.separators.length==0){q.separators=null}else{if(q.separators.length<this.data.length-1){var v=q.separators[q.separators.length-1];for(u=this.data.length-1-q.separators.length;u>0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u<p;u++){if(q.separators&&u>0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(p,o){var q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p<o;p++){q.appendChild(this.data[p].cloneNode(true))}}});f.mi.Augment({toNativeMML:function(p){this.SUPER(arguments).toNativeMML.call(this,p);if(l.miItalicBug){if(this.Get("mathvariant")===f.VARIANT.NORMAL){var o=p.lastChild;o.setAttribute("mathvariant",f.VARIANT.NORMAL)}}}});f.mo.Augment({toNativeMML:function(t){this.SUPER(arguments).toNativeMML.call(this,t);if(l.webkitMoSpacingBug){var o=0,s=0,v=this.parent;if(v&&v.type==="mrow"&&(v.inferred||!v.isEmbellished())){var q=this.getValues("lspace","rspace");o=q.lspace,s=q.rspace;if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}if(l.NAMEDSPACE[s]){s=l.NAMEDSPACE[s]}}var u=t.lastChild;var r=e.Element("span");r.style.cssText=(u.getAttribute("style")||"");r.style.setProperty("-webkit-margin-start",o);r.style.setProperty("-webkit-margin-end",s);u.setAttribute("style",r.style.cssText)}}});f.mmultiscripts.Augment({toNativeMML:function(s){if(!l.mmultiscriptsBug||this.data.length===0){this.SUPER(arguments).toNativeMML.call(this,s);return}var q=this.NativeMMLelement("mrow");this.NativeMMLattributes(q);if(this.data[0]){this.data[0].toNativeMML(q)}else{q.appendChild(this.NativeMMLelement("mrow"))}var t=q.removeChild(q.lastChild);var p=this.data.length,r,o;for(r=1;r<p;r+=2){if(this.data[r].type==="mprescripts"){break}o=this.NativeMMLelement("msubsup");o.appendChild(t);if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}t=o}q.appendChild(t);for(r++;r<p;r+=2){o=this.NativeMMLelement("msubsup");o.appendChild(this.NativeMMLelement("mrow"));if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}q.insertBefore(o,t)}s.appendChild(q)}});c.Register.StartupHook("TeX mathchoice Ready",function(){f.TeXmathchoice.Augment({toNativeMML:function(o){this.Core().toNativeMML(o)}})});setTimeout(MathJax.Callback(["loadComplete",l,"jax.js"]),0)});c.Browser.Select({MSIE:function(m){var n=(document.documentMode||0);l.msieIE8HeightBug=(n===8)},Opera:function(m){l.stretchyMoBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miBug=true;l.mmultiscriptsBug=true},Firefox:function(m){var n=m.versionAtLeast("29.0");l.ffTableWidthBug=!m.versionAtLeast("13.0");l.forceReflow=!n;l.widthBug=!n;l.mtdWidthBug=true;l.handlesVariants=n;l.spaceWidthBug=!m.versionAtLeast("20.0");l.tableSpacingBug=!m.versionAtLeast("33.0");l.tableLabelBug=true;l.mfencedBug=true},Chrome:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Safari:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miItalicBug=true;l.webkitMoSpacingBug=true;l.spaceWidthBug=true;l.mmultiscriptsBug=true}});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
 (function(j,b,d){var i,k=b.Browser.isMobile;var h=MathJax.Object.isArray;var e=function(){var m=[].slice.call(arguments,0);m[0][0]=["HTML-CSS",m[0][0]];return MathJax.Message.Set.apply(MathJax.Message,m)};var f=MathJax.Object.Subclass({timeout:(k?15:8)*1000,comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],FedoraSTIXcheck:{family:"STIXSizeOneSym",testString:"abcABC",noStyleChar:true},Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",width:0,height:0,overflow:"hidden",padding:0,border:0,margin:0}},[["div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto","min-width":0,"max-width":"none",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]]]).firstChild;this.text=this.div.firstChild},findFont:function(r,o){var q=null;if(o&&this.testCollection(o)){q=o}else{for(var p=0,n=r.length;p<n;p++){if(r[p]===o){continue}if(this.testCollection(r[p])){q=r[p];break}}}if(q==="STIX"&&this.testFont(this.FedoraSTIXcheck)){q=null}return q},testCollection:function(n){var m={testString:"() {} []"};m.family={TeX:"MathJax_Size1",STIX:"STIXSizeOneSym"}[n]||n.replace(/-(Math)?/,"")+"MathJax_Size1";if(n==="STIX"){m.noStyleChar=true}return this.testFont(m)},testFont:function(p){if(p.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(p.weight||"normal");this.div.style.fontStyle=(p.style||"normal")}var r=p.familyFixed||p.family;if(!p.isWebFont&&!r.match(/^(STIX|MathJax)|'/)){r=r.replace(/_/g," ").replace(/([a-z])([A-Z])/g,"$1 $2").replace(/ Jax/,"Jax")+"','"+r+"','"+r+"-";if(p.weight){r+="Bold"}if(p.style){r+="Italic"}if(!p.weight&&!p.style){r+="Regular"}p.familyFixed=r="'"+r+"'"}var o=this.getComparisonWidths(p.testString,p.noStyleChar);var s=null;if(o){this.div.style.fontFamily=r+","+this.comparisonFont[0];if(this.div.offsetWidth==o[0]){this.div.style.fontFamily=r+","+this.comparisonFont[o[2]];if(this.div.offsetWidth==o[1]){s=false}}if(s===null&&(this.div.offsetWidth!=o[3]||this.div.offsetHeight!=o[4])){if(!p.noStyleChar&&d.FONTDATA&&d.FONTDATA.hasStyleChar){for(var q=0,n=this.testSize.length;q<n;q++){if(this.testStyleChar(p,this.testSize[q])){s=true;n=0}}}else{s=true}}}if(d.safariTextNodeBug){this.div.innerHTML=""}else{this.text.nodeValue=""}return s},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(p,r){var u=3+(p.weight?2:0)+(p.style?4:0);var o="",q=0;var t=this.div.style.fontSize;this.div.style.fontSize=r;if(d.msieItalicWidthBug&&p.style==="italic"){this.text.nodeValue=o=this.compChar;q=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+o}else{this.text.nodeValue=this.compChar+o}var m=this.div.offsetWidth-q;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+o}else{this.text.nodeValue=this.styleChar+o}var s=Math.floor((this.div.offsetWidth-q)/m+0.5);if(s===u){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+o}else{this.text.nodeValue=this.versionChar+o}p.version=Math.floor((this.div.offsetWidth-q)/m+1.5)/2}this.div.style.fontSize=t;return(s===u)},getComparisonWidths:function(r,p){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!p){r+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=r}else{this.text.nodeValue=r}this.div.style.fontFamily=this.comparisonFont[0];var o=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var t=this.div.offsetWidth,q=this.div.offsetHeight;for(var s=1,n=this.comparisonFont.length;s<n;s++){this.div.style.fontFamily=this.comparisonFont[s];if(this.div.offsetWidth!=o){return[o,this.div.offsetWidth,s,t,q]}}return null},loadWebFont:function(o){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+o.directory);var q=e(["LoadWebFont","Loading web-font %1",d.fontInUse+"/"+o.directory]);var m=MathJax.Callback({});var p=MathJax.Callback(["loadComplete",this,o,q,m]);j.timer.start(j,[this.checkWebFont,o,p],0,this.timeout);return m},loadComplete:function(p,r,o,m){MathJax.Message.Clear(r);if(m===j.STATUS.OK){this.webFontLoaded=true;o();return}this.loadError(p);if(b.Browser.isFirefox&&d.allowWebFonts){var q=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){q+=":"+document.location.port}q+="/";if(j.fileURL(d.webfontDir).substr(0,q.length)!==q){this.firefoxFontError(p)}}if(!this.webFontLoaded){d.loadWebFontError(p,o)}else{o()}},loadError:function(m){e(["CantLoadWebFont","Can't load web font %1",d.fontInUse+"/"+m.directory],null,2000);b.Startup.signal.Post("HTML-CSS Jax - web font error for "+d.fontInUse+"/"+m.directory)},firefoxFontError:function(m){e(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(m,n,o){if(m.time(o)){return}if(d.Font.testFont(n)){o(m.STATUS.OK)}else{setTimeout(m,m.delay)}},fontFace:function(q){var r=d.allowWebFonts;var t=d.FONTDATA.FONTS[q];if(d.msieFontCSSBug&&!t.family.match(/-Web$/)){t.family+="-Web"}if(t.isWebFont){delete t.familyFixed}var m=d.webfontDir+"/"+r;var p=j.fileURL(m);var o=q.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!o.match(/-/)){o+="-Regular"}if(r==="svg"){o+=".svg#"+o}else{o+="."+r}var n=j.fileRev(m+"/"+o.replace(/#.*/,""));var s={"font-family":t.family,src:"url('"+p+"/"+o+n+"')"};if(r==="otf"){o=o.replace(/otf$/,"woff");n=j.fileRev(m+"/"+o);s.src+=" format('opentype')";p=j.fileURL(d.webfontDir+"/woff");s.src="url('"+p+"/"+o+n+"') format('woff'), "+s.src}else{if(r!=="eot"){s.src+=" format('"+r+"')"}}if(!(d.FontFaceBug&&t.isWebFont)){if(q.match(/-bold/)){s["font-weight"]="bold"}if(q.match(/-italic/)){s["font-style"]="italic"}}return s}});var l,a,c;var g=MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<8;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax:focus, body :focus .MathJax":{display:"inline-table"},".MathJax_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax.MathJax_FullWidth":{"text-align":"center",display:(g?"block":"table-cell")+"!important",width:(g?"100%":"10000em")+"!important"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0!important",padding:"0!important",margin:"0!important","vertical-align":"0!important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none","box-sizing":"content-box"},".MathJax nobr":{"white-space":"nowrap!important"},".MathJax img":{display:"inline!important","float":"none!important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_test.mjx-test-display":{display:(g?"block":"table")+"!important"},".MathJax_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".MathJax_em_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60em"},".mjx-test-inline .MathJax_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_right_box":{display:(g?"block":"table-cell")+"!important",width:(g?"100%":"10000em")+"!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1000,fontName:{TeXLocal:"TeX",TeXWeb:["","TeX"],TeXImage:["",""],STIXLocal:["STIX","STIX-Web"],STIXWeb:"STIX-Web",AsanaMathWeb:"Asana-Math",GyrePagellaWeb:"Gyre-Pagella",GyreTermesWeb:"Gyre-Termes",LatinModernWeb:"Latin-Modern",NeoEulerWeb:"Neo-Euler"},fontInUse:"generic",FONTDATA:{TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{},"-largeOp":{},"-smallOp":{}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}},Config:function(){if(!this.require){this.require=[]}this.Font=f();this.SUPER(arguments).Config.call(this);var o=this.settings,n=this.config,m=o.font;if(this.adjustAvailableFonts){this.adjustAvailableFonts(n.availableFonts)}if(o.scale){n.scale=o.scale}if(m&&m!=="Auto"&&this.fontName[m]){n.availableFonts=[];delete n.fonts;if(h(this.fontName[m])){n.preferredFont=this.fontName[m][0];n.webFont=this.fontName[m][1]}else{n.preferredFont=n.webFont=this.fontName[m]}if(n.preferredFont){n.availableFonts[0]=n.preferredFont}}if(n.fonts){n.availableFonts=n.fonts;n.preferredFont=n.webFont=n.fonts[0];if(n.webFont==="STIX"){n.webFont+="-Web"}}m=this.Font.findFont(n.availableFonts,n.preferredFont);if(!m&&this.allowWebFonts){m=n.webFont;if(m){this.webFonts=true}}if(!m&&this.config.imageFont){m=n.imageFont;this.imgFonts=true}if(m){this.fontInUse=m;this.fontDir+="/"+m;this.webfontDir+="/"+m;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{e(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){l=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=l.ContextMenu;this.Mousedown=l.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var n=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(m){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.TestSpan=this.Element("span",{className:"MathJax_test"},[["span",{className:"MathJax_left_box"}],["span",{className:"MathJax_ex_box"}],["span",{className:"MathJax_em_box"}],["span",{className:"MathJax_right_box"}]]);return j.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(p){for(var o=0,n=p.length;o<n;o++){if(p[o]==="STIX"){p.splice(o,1);n--;o--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=p[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var o=0,n=d.config.preloadWebFonts.length;o<n;o++){var p=d.FONTDATA.FONTS[d.config.preloadWebFonts[o]];if(!p.available){d.Font.testFont(p)}}},InitializeHTML:function(){this.PreloadWebFonts();this.getDefaultExEm();if(this.defaultEm){return}var m=MathJax.Callback();j.timer.start(j,function(n){if(n.time(m)){b.signal.Post(["HTML-CSS Jax - no default em size"]);return}d.getDefaultExEm();if(d.defaultEm){m()}else{setTimeout(n,n.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return m},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var m=document.body.appendChild(this.TestSpan.cloneNode(true));m.className+=" mjx-test-inline mjx-test-default";this.defaultEx=m.childNodes[1].offsetHeight/60;this.defaultEm=m.childNodes[2].offsetHeight/60;this.defaultWidth=Math.max(0,m.lastChild.offsetLeft-m.firstChild.offsetLeft-2);document.body.removeChild(m)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,H,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_Display)?( MathJax_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.HTMLCSS={display:(p.root.Get("display")==="block")};C=u=this.Element("span",{className:"MathJax",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:l.Menu,onmousedown:l.Mousedown,onmouseover:l.Mouseover,onmouseout:l.Mouseout,onmousemove:l.Mousemove,onclick:l.Click,ondblclick:l.DblClick,onkeydown:l.Keydown,tabIndex:b.getTabOrder(p)});if(b.Browser.noContextMenu){C.ontouchstart=a.start;C.ontouchend=a.end}if(p.HTMLCSS.display){u=this.Element("div",{className:"MathJax_Display"});u.appendChild(C)}else{if(this.msieDisappearingBug){C.style.display="inline-block"}}u.className+=" MathJax_Processing";G.parentNode.insertBefore(u,G);p.HTMLCSS.span=C;p.HTMLCSS.div=u;E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.HTMLCSS.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;o=E.childNodes[2].offsetHeight/60;A=Math.max(0,p.HTMLCSS.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2);if(F===0||F==="NaN"){B.push(u);p.HTMLCSS.isHidden=true;F=this.defaultEx;o=this.defaultEm;A=this.defaultWidth}if(A===0&&!p.HTMLCSS.display){A=this.defaultWidth}if(t){v=A}H=(this.config.matchFontHeight?F/this.TeX.x_height/o:1);H=Math.floor(Math.max(this.config.minScaleAdjust/100,H)*this.config.scale);p.HTMLCSS.scale=H/100;p.HTMLCSS.fontSize=H+"%";p.HTMLCSS.em=p.HTMLCSS.outerEm=o;this.em=o*H/100;p.HTMLCSS.ex=F;p.HTMLCSS.cwidth=A/this.em;p.HTMLCSS.lineWidth=(q?this.length2em(x,1,v/this.em):1000000)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=r[D].MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.HTMLCSSeqn=s.HTMLCSSlast=0;s.HTMLCSSi=-1;s.HTMLCSSchunk=this.config.EqnChunk;s.HTMLCSSdelay=false},PHASE:{I:1,II:2,III:3},Translate:function(n,r){if(!n.parentNode){return}if(r.HTMLCSSdelay){r.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var m=n.MathJax.elementJax,q=m.root,s=m.HTMLCSS.div,o=m.HTMLCSS.span;if(!document.getElementById(o.id)){return}this.getMetrics(m);if(this.scale!==1){o.style.fontSize=m.HTMLCSS.fontSize}this.initImg(o);this.initHTML(q,o);this.savePreview(n);try{q.setTeXclass();q.toHTML(o,s,this.PHASE.I)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}this.restorePreview(n);throw p}this.restorePreview(n);s.className=s.className.split(/ /)[0]+" MathJax_Processed";b.signal.Post(["New Math Pending",m.inputID]);r.HTMLCSSeqn+=(r.i-r.HTMLCSSi);r.HTMLCSSi=r.i;if(r.HTMLCSSeqn>=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){var n=(v.MathJax.elementJax.HTMLCSS||{}).div;if(n){n.className=n.className.split(/ /)[0]}if(v.MathJax.preview){v.MathJax.preview.innerHTML=""}}}for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){p=v.MathJax.elementJax;this.getMetrics(p);if(p.HTMLCSS.span&&p.HTMLCSS.div){p.root.toHTML(p.HTMLCSS.span,p.HTMLCSS.div,this.PHASE.II)}}}for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){p=v.MathJax.elementJax;this.getMetrics(p);if(p.HTMLCSS.span&&p.HTMLCSS.div){p.root.toHTML(p.HTMLCSS.span,p.HTMLCSS.div,this.PHASE.III);if(p.HTMLCSS.isHidden){v.parentNode.insertBefore(p.HTMLCSS.div,v)}delete p.HTMLCSS.span;delete p.HTMLCSS.div;v.MathJax.state=p.STATE.PROCESSED;b.signal.Post(["New Math",v.MathJax.elementJax.inputID])}}}if(this.forceReflow){var t=(document.styleSheets||[])[0]||{};t.disabled=true;t.disabled=false}o.HTMLCSSlast=o.HTMLCSSeqn},getJaxFromMath:function(m){if(m.parentNode.className.match(/MathJax_Display/)){m=m.parentNode}do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return b.getJaxFor(m)},getHoverSpan:function(m,n){return m.root.HTMLspanElement()},getHoverBBox:function(m,p,q){var r=p.bbox,o=m.HTMLCSS.outerEm;var n={w:r.w*o,h:r.h*o,d:r.d*o};if(r.width){n.width=r.width}return n},Zoom:function(n,y,x,m,v){y.className="MathJax";y.style.fontSize=n.HTMLCSS.fontSize;var B=y.appendChild(this.TestSpan.cloneNode(true));var q=B.childNodes[2].offsetHeight/60;this.em=i.mbase.prototype.em=q;this.outerEm=q/n.HTMLCSS.scale;B.parentNode.removeChild(B);this.scale=n.HTMLCSS.scale;this.linebreakWidth=n.HTMLCSS.lineWidth;this.cwidth=n.HTMLCSS.cwidth;this.zoomScale=parseInt(b.config.menuSettings.zscale)/100;this.idPostfix="-zoom";n.root.toHTML(y,y);this.idPostfix="";this.zoomScale=1;var z=n.root.HTMLspanElement().bbox,p=z.width;if(p){if(z.tw){m=z.tw*q}if(z.w*q<m){m=z.w*q}y.style.width=Math.floor(m-1.5*d.em)+"px";y.style.display="inline-block";var o=(n.root.id||"MathJax-Span-"+n.root.spanID)+"-zoom";var r=document.getElementById(o).firstChild;while(r&&r.style.width!==p){r=r.nextSibling}if(r){var u=r.offsetWidth;r.style.width="100%";if(u>m){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s<p;s++){v=q[s];if(!v){continue}w=v.bbox;u=this.parentNode(v);if(w.exactW||w.width||w.w===0||w.isMultiline||(this.config.noReflows&&w.exactW!==false)){if(!u.bbox){u.bbox=w}continue}if(this.negativeBBoxes||!v.firstChild||(w.w>=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s<p;s++){v=t[s][0];w=v.bbox;u=this.parentNode(v);if((w.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s<p;s++){v=t[s];if(v[1]){v[1].parentNode.removeChild(v[1]),v[0].style.position=v[3]}if(v[2]){v[2].parentNode.removeChild(v[2])}}},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},EmRounded:function(n){if(Math.abs(n)<0.0006){return"0em"}n=(Math.round(n*d.em)+0.05)/d.em;return n.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(n){return parseFloat(n)},Px:function(n){n*=this.em;var o=(n<0?"-":"");return o+Math.abs(n).toFixed(1).replace(/\.?0+$/,"")+"px"},unPx:function(n){return parseFloat(n)/this.em},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(t,o,r){if(typeof(t)!=="string"){t=t.toString()}if(t===""){return""}if(t===i.SIZE.NORMAL){return 1}if(t===i.SIZE.BIG){return 2}if(t===i.SIZE.SMALL){return 0.71}if(t==="infinity"){return d.BIGDIMEN}var q=this.FONTDATA.TeX_factor,u=(d.zoomScale||1)/d.em;if(t.match(/mathspace$/)){return d.MATHSPACE[t]*q}var p=t.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1"),s=p[2];if(r==null){r=1}if(o==null){o=1}if(s==="em"){return n*q}if(s==="ex"){return n*d.TeX.x_height*q}if(s==="%"){return n/100*r}if(s==="px"){return n*u}if(s==="pt"){return n/10*q}if(s==="pc"){return n*1.2*q}if(s==="in"){return n*this.pxPerInch*u}if(s==="cm"){return n*this.pxPerInch*u/2.54}if(s==="mm"){return n*this.pxPerInch*u/25.4}if(s==="mu"){return n/18*q*o}return n*r},thickness2em:function(n,m){var o=d.TeX.rule_thickness;if(n===i.LINETHICKNESS.MEDIUM){return o}if(n===i.LINETHICKNESS.THIN){return 0.67*o}if(n===i.LINETHICKNESS.THICK){return 1.67*o}return this.length2em(n,m,o)},border2em:function(n,m){if(n===i.LINETHICKNESS.THIN){n="1px"}if(n===i.LINETHICKNESS.MEDIUM){n="3px"}if(n===i.LINETHICKNESS.THICK){n="5px"}return this.length2em(n,m)},getPadding:function(n){var p={top:0,right:0,bottom:0,left:0},m=false;for(var q in p){if(p.hasOwnProperty(q)){var o=n.style["padding"+q.charAt(0).toUpperCase()+q.substr(1)];if(o){p[q]=this.length2em(o);m=true}}}return(m?p:false)},getBorders:function(r){var o={top:0,right:0,bottom:0,left:0},p={},n=false;for(var s in o){if(o.hasOwnProperty(s)){var m="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r.style[m+"Style"];if(q){n=true;o[s]=this.border2em(r.style[m+"Width"]||i.LINETHICKNESS.MEDIUM);p[m]=[r.style[m+"Width"],r.style[m+"Style"],r.style[m+"Color"]].join(" ")}}}o.css=p;return(n?o:false)},setBorders:function(m,n){if(n){for(var o in n.css){if(n.css.hasOwnProperty(o)){m.style[o]=n.css[o]}}}},createStrut:function(o,n,p){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:n+"px",width:"1px",marginRight:"-1px"}});if(p){o.insertBefore(m,o.firstChild)}else{o.appendChild(m)}return m},createBlank:function(n,m,o){var p=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(m)}});if(m<0){p.style.marginRight=p.style.width;p.style.width=0}if(o){n.insertBefore(p,n.firstChild)}else{n.appendChild(p)}return p},createShift:function(n,m,p){var o=this.Element("span",{style:{marginLeft:this.Em(m)},isMathJax:true});if(p){n.insertBefore(o,n.firstChild)}else{n.appendChild(o)}return o},createSpace:function(r,p,q,s,o,u){if(p<-q){q=-p}var t=this.Em(p+q),m=this.Em(-q);if(this.msieInlineBlockAlignBug){m=this.Em(d.getHD(r.parentNode,true).d-q)}if(r.isBox||u){var n=(r.scale==null?1:r.scale);r.bbox={exactW:true,h:p*n,d:q*n,w:s*n,rw:s*n,lw:0};r.style.height=t;r.style.verticalAlign=m;r.HH=(p+q)*n}else{r=this.addElement(r,"span",{style:{height:t,verticalAlign:m},isMathJax:true})}if(s>=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em<o){u=o/this.em}if(p+r>0&&(p+r)*this.em<o){q=1/(p+r)*(o/this.em);p*=q;r*=q}if(!n){n="solid"}else{n="solid "+n}var m={display:"inline-block",overflow:"hidden",verticalAlign:this.Em(-r)};if(u>p+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(x<r){x=r}if(s+u<r){s=r-u}}if(this.msieBorderWidthBug){r=0}var y=this.Em(s+u-r),m=this.Em(-u-z),q=this.Em(x-r);var o=this.Px(z)+" "+n;var p=this.addElement(v,"span",{style:{border:o,display:"inline-block",overflow:"hidden",width:q,height:y},bbox:{h:s,d:u,w:x,rw:x,lw:0,exactW:true},noAdjust:true,HH:s+u,isMathJax:true});if(m){p.style.verticalAlign=m}return p},parentNode:function(n){var m=n.parentNode;if(m.nodeName.toLowerCase()==="a"){m=m.parentNode}return m},createStack:function(o,q,n){if(this.msiePaddingWidthBug){this.createStrut(o,0)}var p=String(n).match(/%$/);var m=(!p&&n!=null?n:0);o=this.addElement(o,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(p?"100%":this.Em(m)),height:0}});if(!q){o.parentNode.bbox=o.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:m,lw:this.BIGDIMEN,rw:(!p&&n!=null?n:-this.BIGDIMEN)};if(p){o.bbox.width=n}}return o},createBox:function(n,m){var o=this.addElement(n,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(m!=null){o.style.width=m}return o},addBox:function(m,n){n.style.position="absolute";n.isBox=n.isMathJax=true;return m.appendChild(n)},placeBox:function(w,v,u,q){w.isMathJax=true;var z=d.parentNode(w),F=w.bbox,B=z.bbox;if(this.msiePlaceBoxBug){this.addText(w,this.NBSP)}if(this.imgSpaceBug){this.addText(w,this.imgSpace)}var A,I=0;if(w.HH!=null){A=w.HH}else{if(F){var o=w.firstChild;A=Math.max(3,3*(o?o.scale||1:1),F.h+F.d)}else{A=w.offsetHeight/this.em}}if(!w.noAdjust){A+=1;A=Math.round(A*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(w,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(A)}})}else{this.addElement(w,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(A)}});if(d.chromeHeightBug){A-=(w.lastChild.offsetHeight-Math.round(A*this.em))/this.em}}}if(F){if(this.initialSkipBug){if(F.lw<0){I=F.lw;d.createBlank(w,-I,true)}if(F.rw>F.w){d.createBlank(w,F.rw-F.w+0.1)}}if(!this.msieClipRectBug&&!F.noclip&&!q){var E=3/this.em;var C=(F.H==null?F.h:F.H),n=(F.D==null?F.d:F.D);var G=A-C-E,s=A+n+E,p=-1000,m=F.rw+1000;w.style.clip="rect("+this.Em(G)+" "+this.Em(m)+" "+this.Em(s)+" "+this.Em(p)+")"}}w.style.top=this.Em(-u-A);w.style.left=this.Em(v+I);if(F&&B){if(F.H!=null&&(B.H==null||F.H+u>B.H)){B.H=F.H+u}if(F.D!=null&&(B.D==null||F.D-u>B.D)){B.D=F.D-u}if(F.h+u>B.h){B.h=F.h+u}if(F.d-u>B.d){B.d=F.d-u}if(B.H!=null&&B.H<=B.h){delete B.H}if(B.D!=null&&B.D<=B.d){delete B.D}if(F.w+v>B.w){B.w=F.w+v;if(B.width==null){z.style.width=this.Em(B.w)}}if(F.rw+v>B.rw){B.rw=F.rw+v}if(F.lw+v<B.lw){B.lw=F.lw+v}if(F.width!=null&&!F.isFixed){if(B.width==null){z.style.width=B.width="100%";if(F.minWidth){z.style.minWidth=B.minWidth=F.minWidth}}w.style.width=F.width}if(F.tw){B.tw=F.tw}}},alignBox:function(t,p,s,x,w){if(x==null){x=0}this.placeBox(t,x,s);if(this.msiePlaceBoxBug){var n=t.lastChild;while(n&&n.nodeName!=="#text"){n=n.previousSibling}if(n){t.removeChild(n)}}var v=t.bbox;if(v.isMultiline&&!w){return}var u=v.width!=null&&!v.isFixed;var m=0,q=x-v.w/2,o="50%";if(this.initialSkipBug){m=v.w-v.rw-0.1;q+=v.lw}if(this.msieMarginScaleBug){q=(q*this.em)+"px"}else{q=this.Em(q)}if(u){q=(x===0?"":this.Em(x));o=(50-parseFloat(v.width)/2)+"%"}b.Insert(t.style,({right:{left:"",right:this.Em(m-x)},center:{left:o,marginLeft:q}})[p])},setStackWidth:function(n,m){if(typeof(m)==="number"){n.style.width=this.Em(Math.max(0,m));var o=n.bbox;if(o){o.w=m;o.exactW=true}o=n.parentNode.bbox;if(o){o.w=m;o.exactW=true}}else{n.style.width=n.parentNode.style.width="100%";if(n.bbox){n.bbox.width=m}if(n.parentNode.bbox){n.parentNode.bbox.width=m}}},createDelimiter:function(w,n,p,s,q){if(!n){w.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};w.bbox.rw=w.bbox.w;this.createSpace(w,w.bbox.h,w.bbox.d,w.bbox.w);return}if(!s){s=1}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){b.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var u=0,r=o.HW.length;u<r;u++){if(o.HW[u][0]*s>=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&u<C*F.min){u=C*F.min}if(u>C){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&p<v*F.min){p=v*F.min}if(p>v){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}u-=D.bbox.lw;this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s<o;s++){v+=String.fromCharCode(r[0][s])}}else{v=String.fromCharCode(r[0])}if(r[4]){p*=r[4]}if(p!==1||r[3]){t=this.addElement(u,"span",{style:{fontSize:this.Percent(p)},scale:p,isMathJax:true});this.handleVariant(t,q,v);u.bbox=t.bbox}else{this.handleVariant(u,q,v)}if(r[2]){u.style.marginLeft=this.Em(r[2])}if(r[3]){u.firstChild.style.verticalAlign=this.Em(r[3]);u.bbox.h+=r[3];if(u.bbox.h<0){u.bbox.h=0}}if(r[5]){u.bbox.h+=r[5]}if(r[6]){u.bbox.d+=r[6]}if(this.AccentBug&&u.bbox.w===0){t.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(n,m){m-=n.bbox.h;n.bbox.d-=m;n.bbox.h+=m;if(m){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&n.isMultiChar)){if(n.firstChild.style.display===""&&n.style.top!==""){n=n.firstChild;m-=d.unEm(n.style.top)}n.style.position="relative";n.style.top=this.Em(-m)}else{n.style.verticalAlign=this.Em(m);if(d.ffVerticalAlignBug){d.createRule(n.parentNode,n.bbox.h,0,0);delete n.parentNode.bbox}}}},handleVariant:function(B,q,t){var A="",y,D,u,E,o=B,p=!!B.style.fontFamily;if(t.length===0){return}if(!B.bbox){B.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!q){q=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}E=q;for(var C=0,z=t.length;C<z;C++){q=E;y=t.charCodeAt(C);D=t.charAt(C);if(y>=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v<s;v++){if(w[v].name==="alpha"&&q.noLowerCase){continue}var r=q["offset"+w[v].offset];if(r&&y>=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{if(w[v].remapOnly){break}y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000<B.bbox.lw){B.bbox.lw=B.bbox.w+D[3]/1000}if(B.bbox.w+D[4]/1000>B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(d.isChar(t)&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(((m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)||(this.FontFaceBug&&n.fontFamily!=="")))},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||(!this.msieAccentBug&&!this.combiningCharBug)||s.length){return s+r.c}if(this.combiningCharBug){d.addElement(o,"span",{style:{marginLeft:d.Em(u[3]/1000)}},[r.c]);return""}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]]);t[s[q]].name=s[q]}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){if(p[u].length===5){p[u][5]={}}if(d.allowWebFonts&&!p.available){this.loadWebFont(p)}else{return p}}else{this.findBlock(p,u)}}return this.unknownChar(r,u)},unknownChar:function(m,p){var o=(m.defaultFont||{family:d.config.undefinedFamily});if(m.bold){o.weight="bold"}if(m.italic){o.style="italic"}if(!o[p]){o[p]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",p,m]);return o},isChar:function(m){if(m.length===1){return true}if(m.length!==2){return false}var o=m.charCodeAt(0);return(o>=55296&&o<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);j.Require(this.directory+"/imageFonts.js",m)}else{this.allowWebFonts=false;m()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.type!="mrow"){q=this.HTMLhandleSize(q)}for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q)}}var u=this.HTMLcomputeBBox(q);var p=q.bbox.h,t=q.bbox.d,r=false,s;for(o=0,n=u.length;o<n;o++){s=u[o].HTMLspanElement().bbox;if(u[o].forceStretch||s.h!==p||s.d!==t){u[o].HTMLstretchV(q,p,t);r=true}else{if(u[o].needsBBox){r=true}}}if(r){this.HTMLcomputeBBox(q,true)}if(this.HTMLlineBreaks(q)){q=this.HTMLmultiline(q)}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);if(this.data.length===1&&this.data[0]){s=this.data[0].HTMLspanElement().bbox;if(s.skew){q.bbox.skew=s.skew}}return q},HTMLlineBreaks:function(){return false},HTMLmultiline:function(){i.mbase.HTMLautoloadFile("multiline")},HTMLcomputeBBox:function(s,r,q,n){if(q==null){q=0}if(n==null){n=this.data.length}var p=s.bbox={exactW:true},t=[];while(q<n){var o=this.data[q];if(!o){continue}if(!r&&o.HTMLcanStretch("Vertical")){t.push(o);o=(o.CoreMO()||o);t[t.length-1].needsBBox=(o!==this.data[q])}this.HTMLcombineBBoxes(o,p);q++}this.HTMLcleanBBox(p);return t},HTMLcombineBBoxes:function(m,n){if(n.w==null){this.HTMLemptyBBox(n)}var p=(m.bbox?m:m.HTMLspanElement());if(!p||!p.bbox){return}var o=p.bbox;if(o.d>n.d){n.d=o.d}if(o.h>n.h){n.h=o.h}if(o.D!=null&&o.D>n.D){n.D=o.D}if(o.H!=null&&o.H>n.H){n.H=o.H}if(p.style.paddingLeft){n.w+=d.unEm(p.style.paddingLeft)*(p.scale||1)}if(n.w+o.lw<n.lw){n.lw=n.w+o.lw}if(n.w+o.rw>n.rw){n.rw=n.w+o.rw}n.w+=o.w;if(p.style.paddingRight){n.w+=d.unEm(p.style.paddingRight)*(p.scale||1)}if(o.width){n.width=o.width;n.minWidth=o.minWidth}if(o.tw){n.tw=o.tw}if(o.ic){n.ic=o.ic}else{delete n.ic}if(n.exactW&&!o.exactW){n.exactW=o.exactW}},HTMLemptyBBox:function(m){m.h=m.d=m.H=m.D=m.rw=-d.BIGDIMEN;m.w=0;m.lw=d.BIGDIMEN;return m},HTMLcleanBBox:function(m){if(m.h===this.BIGDIMEN){m.h=m.d=m.H=m.D=m.w=m.rw=m.lw=0}if(m.D<=m.d){delete m.D}if(m.H<=m.h){delete m.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(n){if(this.isEmbellished()){var m=this.Core();if(m&&m!==this){return m.HTMLcanStretch(n)}}return false},HTMLstretchH:function(n,m){return this.HTMLspanElement()},HTMLstretchV:function(n,m,o){return this.HTMLspanElement()},HTMLnotEmpty:function(m){while(m){if((m.type!=="mrow"&&m.type!=="texatom")||m.data.length>1){return true}m=m.data[0]}return false},HTMLmeasureChild:function(o,m){if(this.data[o]){d.Measured(this.data[o].toHTML(m),m)}else{m.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(o,m){if(!this.data[o]){this.SetData(o,i.mrow())}return this.data[o].toHTML(m)},HTMLcreateSpan:function(m){if(this.spanID){var n=this.HTMLspanElement();if(n&&(n.parentNode===m||(n.parentNode||{}).parentNode===m)){while(n.firstChild){n.removeChild(n.firstChild)}n.bbox=this.HTMLzeroBBox();n.scale=1;n.isMultChar=n.HH=null;n.style.cssText="";return n}}if(this.href){m=d.addElement(m,"a",{href:this.href,isMathJax:true})}m=d.addElement(m,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){m.style.display="inline-block"}if(this["class"]){m.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}m.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;m.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){m.style.cssText=this.style;if(m.style.fontSize){this.mathsize=m.style.fontSize;m.style.fontSize=""}this.styles={border:d.getBorders(m),padding:d.getPadding(m)};if(this.styles.border){m.style.border=""}if(this.styles.padding){m.style.padding=""}}if(this.href){m.parentNode.bbox=m.bbox}this.HTMLaddAttributes(m);return m},HTMLaddAttributes:function(p){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=b.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var o=0,n=u.length;o<n;o++){var s=u[o];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(p[s])==="undefined")){p.setAttribute(s,this.attr[s])}}}},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+d.idPostfix)},HTMLhandleVariant:function(n,m,o){d.handleVariant(n,m,o)},HTMLhandleSize:function(m){if(!m.scale){m.scale=this.HTMLgetScale();if(m.scale!==1){m.style.fontSize=d.Percent(m.scale)}}return m},HTMLhandleDir:function(n){var m=this.Get("dir",true);if(m){n.dir=m}return n},HTMLhandleColor:function(y){var A=this.getValues("mathcolor","color");if(this.mathbackground){A.mathbackground=this.mathbackground}if(this.background){A.background=this.background}if(this.style&&y.style.backgroundColor){A.mathbackground=y.style.backgroundColor;y.style.backgroundColor="transparent"}var v=(this.styles||{}).border,x=(this.styles||{}).padding;if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.background&&!this.mathbackground){A.mathbackground=A.background}if(A.mathcolor){y.style.color=A.mathcolor}if((A.mathbackground&&A.mathbackground!==i.COLOR.TRANSPARENT)||v||x){var C=y.bbox,B=(C.exact?0:1/d.em),w=0,u=0,o=y.style.paddingLeft,s=y.style.paddingRight;if(this.isToken){w=C.lw;u=C.rw-C.w}if(o!==""){w+=d.unEm(o)*(y.scale||1)}if(s!==""){u-=d.unEm(s)*(y.scale||1)}var n=(d.PaddingWidthBug||C.keepPadding||C.exactW?0:u-w);var q=Math.max(0,d.getW(y)+n);var z=C.h+C.d,m=-C.d,t=0,r=0;if(q>0){q+=2*B;w-=B}if(z>0){z+=2*B;m-=B}u=-q-w;if(v){u-=v.right;m-=v.bottom;t+=v.left;r+=v.right;C.h+=v.top;C.d+=v.bottom;C.w+=v.left+v.right;C.lw-=v.left;C.rw+=v.right}if(x){z+=x.top+x.bottom;q+=x.left+x.right;u-=x.right;m-=x.bottom;t+=x.left;r+=x.right;C.h+=x.top;C.d+=x.bottom;C.w+=x.left+x.right;C.lw-=x.left;C.rw+=x.right}if(r){y.style.paddingRight=d.Em(r)}var p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var m=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(m){m.parentNode.removeChild(m)}},HTMLhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var o=this.getValues("scriptlevel","lspace","rspace");if(o.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var n=this.HTMLgetMu(q);o.lspace=Math.max(0,d.length2em(o.lspace,n));o.rspace=Math.max(0,d.length2em(o.rspace,n));var m=this,p=this.Parent();while(p&&p.isEmbellished()&&p.Core()===m){m=p;p=p.Parent();q=m.HTMLspanElement()}if(o.lspace){q.style.paddingLeft=d.Em(o.lspace)}if(o.rspace){q.style.paddingRight=d.Em(o.rspace)}}}else{var r=this.texSpacing();if(r!==""){this.HTMLgetScale();r=d.length2em(r,this.scale)/(q.scale||1)*this.mscale;if(q.style.paddingLeft){r+=d.unEm(q.style.paddingLeft)}q.style.paddingLeft=d.Em(r)}}},HTMLgetScale:function(){if(this.scale){return this.scale*this.mscale}var o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o<m.scriptminsize){o=m.scriptminsize}}this.scale=o;this.mscale=d.length2em(m.mathsize);return o*this.mscale},HTMLgetMu:function(o){var m=1,n=this.getValues("scriptlevel","scriptsizemultiplier");if(o.scale&&o.scale!==1){m=1/o.scale}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n in d.FONTDATA.VARIANT)){n="normal"}return d.FONTDATA.VARIANT[n]},HTMLdrawBBox:function(m){var o=m.bbox;var n=d.Element("span",{style:{"font-size":m.style.fontSize,display:"inline-block",opacity:0.25,"margin-left":d.Em(-o.w)}},[["span",{style:{height:d.Em(o.h),width:d.Em(o.w),"background-color":"red",display:"inline-block"}}],["span",{style:{height:d.Em(o.d),width:d.Em(o.w),"margin-left":d.Em(-o.w),"vertical-align":d.Em(-o.d),"background-color":"green",display:"inline-block"}}]]);if(m.nextSibling){m.parentNode.insertBefore(n,m.nextSibling)}else{m.parentNode.appendChild(n)}}},{HTMLautoload:function(){this.constructor.Augment({toHTML:i.mbase.HTMLautoloadFail});var m=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(j.Require(m))},HTMLautoloadFail:function(){throw Error("HTML-CSS can't autoload '"+this.type+"'")},HTMLautoloadList:{},HTMLautoloadFile:function(m){if(i.mbase.HTMLautoloadList.hasOwnProperty(m)){throw Error("HTML-CSS can't autoload file '"+m+"'")}i.mbase.HTMLautoloadList[m]=true;var n=d.autoloadDir+"/"+m+".js";b.RestartAfter(j.Require(n))},HTMLstretchH:function(n,m){this.HTMLremoveColor();return this.toHTML(n,m)},HTMLstretchV:function(n,m,o){this.HTMLremoveColor();return this.toHTML(n,m,o)}});i.chars.Augment({toHTML:function(p,o,n,q){var t=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}p.bbox=null;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.entity.Augment({toHTML:function(p,o,n,q){var t=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}delete p.bbox;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.mi.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));q.bbox=null;var p=this.HTMLgetVariant();for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q,p)}}if(!q.bbox){q.bbox=this.HTMLzeroBBox()}var s=this.data.join(""),r=q.bbox;if(r.skew&&!d.isChar(s)){delete r.skew}if(r.rw>r.w&&d.isChar(s)&&!p.noIC){r.ic=r.rw-r.w;d.createBlank(q,r.ic/this.mscale);r.w=r.rw}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.mn.Augment({HTMLremapMinus:function(m){return m.replace(/^-/,"\u2212")},toHTML:function(r){r=this.HTMLhandleSize(this.HTMLcreateSpan(r));r.bbox=null;var q=this.HTMLgetVariant();var p=this.HTMLremapMinus;for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(r,q,p);p=null}}if(!r.bbox){r.bbox=this.HTMLzeroBBox()}if(!d.isChar(this.data.join(""))){delete r.bbox.skew}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);this.HTMLhandleDir(r);return r}});i.mo.Augment({toHTML:function(x){x=this.HTMLhandleSize(this.HTMLcreateSpan(x));if(this.data.length==0){return x}else{x.bbox=null}var A=this.data.join("");var s=this.HTMLgetVariant();var z=this.getValues("largeop","displaystyle");if(z.largeop){s=d.FONTDATA.VARIANT[z.displaystyle?"-largeOp":"-smallOp"]}var y=this.CoreParent(),r=(y&&y.isa(i.msubsup)&&this!==y.data[y.base]),o=(r?this.remapChars:null);if(d.isChar(A)&&y&&y.isa(i.munderover)&&d.isChar(this.CoreText(y.data[y.base]))){var u=y.data[y.over],w=y.data[y.under];if(u&&this===u.CoreMO()&&y.Get("accent")){o=d.FONTDATA.REMAPACCENT}else{if(w&&this===w.CoreMO()&&y.Get("accentunder")){o=d.FONTDATA.REMAPACCENTUNDER}}}if(r&&A.match(/['`"\u00B4\u2032-\u2037\u2057]/)){s=d.FONTDATA.VARIANT["-"+d.fontInUse+"-variant"]}for(var t=0,q=this.data.length;t<q;t++){if(this.data[t]){this.data[t].toHTML(x,s,this.remap,o)}}if(!x.bbox){x.bbox=this.HTMLzeroBBox()}if(!d.isChar(A)){delete x.bbox.skew}if(d.AccentBug&&x.bbox.w===0&&d.isChar(A)&&x.firstChild){x.firstChild.nodeValue+=d.NBSP;d.createSpace(x,0,0,-x.offsetWidth/d.em)}if(z.largeop){var v=d.TeX.axis_height*this.scale*this.mscale;var n=(x.bbox.h-x.bbox.d)/2-v;if(d.safariVerticalAlignBug&&x.lastChild.nodeName==="IMG"){x.lastChild.style.verticalAlign=d.Em(d.unEm(x.lastChild.style.verticalAlign||0)/d.em-n/x.scale)}else{if(d.konquerorVerticalAlignBug&&x.lastChild.nodeName==="IMG"){x.style.position="relative";x.lastChild.style.position="relative";x.lastChild.style.top=d.Em(n/x.scale)}else{x.style.verticalAlign=d.Em(-n/x.scale)}}x.bbox.h-=n;x.bbox.d+=n;if(x.bbox.rw>x.bbox.w){x.bbox.ic=x.bbox.rw-x.bbox.w;d.createBlank(x,x.bbox.ic/this.mscale);x.bbox.w=x.bbox.rw}}this.HTMLhandleSpace(x);this.HTMLhandleColor(x);this.HTMLhandleDir(x);return x},HTMLcanStretch:function(q){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&d.isChar(this.CoreText(o.data[o.base]))){var p=o.data[o.over],n=o.data[o.under];if(p&&this===p.CoreMO()&&o.Get("accent")){r=d.FONTDATA.REMAPACCENT[r]||r}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=d.FONTDATA.REMAPACCENTUNDER[r]||r}}}r=d.FONTDATA.DELIMITERS[r.charCodeAt(0)];var m=(r&&r.dir===q.substr(0,1));this.forceStretch=(m&&(this.Get("minsize",true)||this.Get("maxsize",true)));return m},HTMLstretchV:function(o,p,q){this.HTMLremoveColor();var t=this.getValues("symmetric","maxsize","minsize");var r=this.HTMLspanElement(),u=this.HTMLgetMu(r),s;var n=this.HTMLgetScale(),m=d.TeX.axis_height*n;if(t.symmetric){s=2*Math.max(p-m,q+m)}else{s=p+q}t.maxsize=d.length2em(t.maxsize,u,r.bbox.h+r.bbox.d);t.minsize=d.length2em(t.minsize,u,r.bbox.h+r.bbox.d);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!=t.minsize){s=[Math.max(s*d.TeX.delimiterfactor/1000,s-d.TeX.delimitershortfall),s]}r=this.HTMLcreateSpan(o);d.createDelimiter(r,this.data.join("").charCodeAt(0),s,n);if(t.symmetric){s=(r.bbox.h+r.bbox.d)/2+m}else{s=(r.bbox.h+r.bbox.d)*p/(p+q)}d.positionDelimiter(r,s);this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLstretchH:function(q,m){this.HTMLremoveColor();var o=this.getValues("maxsize","minsize","mathvariant","fontweight");if((o.fontweight==="bold"||parseInt(o.fontweight)>=600)&&!this.Get("mathvariant",true)){o.mathvariant=i.VARIANT.BOLD}var p=this.HTMLspanElement(),n=this.HTMLgetMu(p),r=p.scale;o.maxsize=d.length2em(o.maxsize,n,p.bbox.w);o.minsize=d.length2em(o.minsize,n,p.bbox.w);m=Math.max(o.minsize,Math.min(o.maxsize,m));p=this.HTMLcreateSpan(q);d.createDelimiter(p,this.data.join("").charCodeAt(0),m,r,o.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});i.mtext.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));var p=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){var r=this.Get("mathvariant");if(r==="monospace"){q.className+=" MJX-monospace"}else{if(r.match(/sans-serif/)){q.className+=" MJX-sans-serif"}}p={bold:p.bold,italic:p.italic,fontInherit:true}}for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q,p)}}if(!q.bbox){q.bbox=this.HTMLzeroBBox()}if(!d.isChar(this.data.join(""))){delete q.bbox.skew}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.merror.Augment({toHTML:function(n){var p=MathJax.HTML.addElement(n,"span",{style:{display:"inline-block"}});n=this.SUPER(arguments).toHTML.call(this,p);var o=d.getHD(p),m=d.getW(p);p.bbox={h:o.h,d:o.d,w:m,lw:0,rw:m,exactW:true};p.id=n.id;n.id=null;return p}});i.ms.Augment({toHTML:i.mbase.HTMLautoload});i.mglyph.Augment({toHTML:i.mbase.HTMLautoload});i.mspace.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);var o=this.getValues("height","depth","width");var n=this.HTMLgetMu(q);this.HTMLgetScale();o.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){o.mathbackground=this.background}var p=d.length2em(o.height,n)*this.mscale,r=d.length2em(o.depth,n)*this.mscale,m=d.length2em(o.width,n)*this.mscale;d.createSpace(q,p,r,m,o.mathbackground,true);return q}});i.mphantom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){var r=this.data[0].toHTML(q);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(q,o,s),q)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(q,o),q)}else{r=d.Measured(r,q)}}q.bbox={w:r.bbox.w,h:r.bbox.h,d:r.bbox.d,lw:0,rw:0,exactW:true};for(var p=0,n=q.childNodes.length;p<n;p++){q.childNodes[p].style.visibility="hidden"}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mpadded.Augment({toHTML:function(u,o,m){u=this.HTMLcreateSpan(u);if(this.data[0]!=null){var s=d.createStack(u,true);var p=d.createBox(s);var n=this.data[0].toHTML(p);if(m!=null){d.Remeasured(this.data[0].HTMLstretchV(p,o,m),p)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(p,o),p)}else{d.Measured(n,p)}}var v=this.getValues("height","depth","width","lspace","voffset"),t=0,r=0,w=this.HTMLgetMu(u);this.HTMLgetScale();if(v.lspace){t=this.HTMLlength2em(p,v.lspace,w)}if(v.voffset){r=this.HTMLlength2em(p,v.voffset,w)}d.placeBox(p,t,r);t/=this.mscale;r/=this.mscale;u.bbox={h:p.bbox.h,d:p.bbox.d,w:p.bbox.w,exactW:true,lw:p.bbox.lw+t,rw:p.bbox.rw+t,H:Math.max((p.bbox.H==null?-d.BIGDIMEN:p.bbox.H+r),p.bbox.h+r),D:Math.max((p.bbox.D==null?-d.BIGDIMEN:p.bbox.D-r),p.bbox.d-r)};if(v.height!==""){u.bbox.h=this.HTMLlength2em(p,v.height,w,"h",0)}if(v.depth!==""){u.bbox.d=this.HTMLlength2em(p,v.depth,w,"d",0)}if(v.width!==""){u.bbox.w=this.HTMLlength2em(p,v.width,w,"w",0)}if(u.bbox.H<=u.bbox.h){delete u.bbox.H}if(u.bbox.D<=u.bbox.d){delete u.bbox.D}var q=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;u.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||q.exec(v.height)||q.exec(v.width)||q.exec(v.depth));d.setStackWidth(s,u.bbox.w)}this.HTMLhandleSpace(u);this.HTMLhandleColor(u);return u},HTMLlength2em:function(s,t,o,u,n){if(n==null){n=-d.BIGDIMEN}var q=String(t).match(/width|height|depth/);var r=(q?s.bbox[q[0].charAt(0)]:(u?s.bbox[u]:0));var p=d.length2em(t,o,r/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,s.bbox[u]+p)}else{return p}},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mrow.Augment({HTMLlineBreaks:function(m){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&m.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(o,m){this.HTMLremoveColor();var n=this.HTMLspanElement();this.data[this.core].HTMLstretchH(n,m);this.HTMLcomputeBBox(n,true);this.HTMLhandleColor(n);return n},HTMLstretchV:function(o,n,p){this.HTMLremoveColor();var m=this.HTMLspanElement();this.data[this.core].HTMLstretchV(m,n,p);this.HTMLcomputeBBox(m,true);this.HTMLhandleColor(m);return m}});i.mstyle.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mfrac.Augment({toHTML:function(F){F=this.HTMLcreateSpan(F);var o=d.createStack(F);var w=d.createBox(o),s=d.createBox(o);d.MeasureSpans([this.HTMLboxChild(0,w),this.HTMLboxChild(1,s)]);var m=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var K=this.HTMLgetScale(),E=m.displaystyle;var J=d.TeX.axis_height*K;if(m.bevelled){var I=(E?0.4:0.15);var x=Math.max(w.bbox.h+w.bbox.d,s.bbox.h+s.bbox.d)+2*I;var G=d.createBox(o);d.createDelimiter(G,47,x);d.placeBox(w,0,(w.bbox.d-w.bbox.h)/2+J+I);d.placeBox(G,w.bbox.w-I/2,(G.bbox.d-G.bbox.h)/2+J);d.placeBox(s,w.bbox.w+G.bbox.w-I,(s.bbox.d-s.bbox.h)/2+J-I)}else{var n=Math.max(w.bbox.w,s.bbox.w);var A=d.thickness2em(m.linethickness,this.scale)*this.mscale,C,B,z,y;var D=d.TeX.min_rule_thickness/this.em;if(E){z=d.TeX.num1;y=d.TeX.denom1}else{z=(A===0?d.TeX.num3:d.TeX.num2);y=d.TeX.denom2}z*=K;y*=K;if(A===0){C=Math.max((E?7:3)*d.TeX.rule_thickness,2*D);B=(z-w.bbox.d)-(s.bbox.h-y);if(B<C){z+=(C-B)/2;y+=(C-B)/2}}else{C=Math.max((E?2:0)*D+A,A/2+1.5*D);B=(z-w.bbox.d)-(J+A/2);if(B<C){z+=C-B}B=(J-A/2)-(s.bbox.h-y);if(B<C){y+=C-B}var r=d.createBox(o);d.createRule(r,A,0,n+2*A);d.placeBox(r,0,J-A/2)}d.alignBox(w,m.numalign,z,0,true);d.alignBox(s,m.denomalign,-y,0,true)}this.HTMLhandleSpace(F);this.HTMLhandleColor(F);return F},HTMLcanStretch:function(m){return false},HTMLhandleSpace:function(n){if(!this.texWithDelims){var o=d.TeX.nulldelimiterspace*this.mscale;var m=n.childNodes[d.msiePaddingWidthBug?1:0].style;m.marginLeft=m.marginRight=d.Em(o);n.bbox.w+=2*o;n.bbox.rw+=2*o}this.SUPER(arguments).HTMLhandleSpace.call(this,n)}});i.msqrt.Augment({toHTML:function(z){z=this.HTMLcreateSpan(z);var B=d.createStack(z);var r=d.createBox(B),w=d.createBox(B),v=d.createBox(B);var u=this.HTMLgetScale();var C=d.TeX.rule_thickness*u,o,n,A,s;if(this.Get("displaystyle")){o=d.TeX.x_height*u}else{o=C}n=Math.max(C+o/4,1.5*d.TeX.min_rule_thickness/this.em);var m=this.HTMLboxChild(0,r);A=m.bbox.h+m.bbox.d+n+C;d.createDelimiter(v,8730,A,u);d.MeasureSpans([m,v]);s=m.bbox.w;var y=0;if(v.isMultiChar||(d.AdjustSurd&&d.imgFonts)){v.bbox.w*=0.95}if(v.bbox.h+v.bbox.d>A){n=((v.bbox.h+v.bbox.d)-(A-C))/2}var D=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!D||s<(D.HW[0]||[0])[0]*u||u<0.75){d.createRule(w,0,C,s);w.bbox.h=-C}else{d.createDelimiter(w,d.FONTDATA.RULECHAR,s,u)}A=m.bbox.h+n+C;n=A*d.rfuzz;if(v.isMultiChar){n=d.rfuzz}y=this.HTMLaddRoot(B,v,y,v.bbox.h+v.bbox.d-A,u);d.placeBox(v,y,A-v.bbox.h);d.placeBox(w,y+v.bbox.w,A-w.bbox.h+n);d.placeBox(r,y+v.bbox.w,0);this.HTMLhandleSpace(z);this.HTMLhandleColor(z);return z},HTMLaddRoot:function(o,n,m,q,p){return m}});i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(u,n,s,q,m){var o=d.createBox(u);if(this.data[1]){var r=this.data[1].toHTML(o);r.style.paddingRight=r.style.paddingLeft="";d.Measured(r,o)}else{o.bbox=this.HTMLzeroBBox()}var p=this.HTMLrootHeight(n.bbox.h+n.bbox.d,m,o)-q;var t=Math.min(o.bbox.w,o.bbox.rw);s=Math.max(t,n.offset);d.placeBox(o,s-t,p);return s-n.offset},HTMLrootHeight:function(o,n,m){return 0.45*(o-0.9*n)+0.6*n+Math.max(0,m.bbox.d-0.075)}});i.mfenced.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.data.open){this.data.open.toHTML(q)}if(this.data[0]!=null){this.data[0].toHTML(q)}for(var o=1,n=this.data.length;o<n;o++){if(this.data[o]){if(this.data["sep"+o]){this.data["sep"+o].toHTML(q)}this.data[o].toHTML(q)}}if(this.data.close){this.data.close.toHTML(q)}var s=this.HTMLcomputeBBox(q);var p=q.bbox.h,r=q.bbox.d;for(o=0,n=s.length;o<n;o++){s[o].HTMLstretchV(q,p,r)}if(s.length){this.HTMLcomputeBBox(q,true)}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLcomputeBBox:function(r,q){var o=r.bbox={},s=[];this.HTMLcheckStretchy(this.data.open,o,s,q);this.HTMLcheckStretchy(this.data[0],o,s,q);for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){this.HTMLcheckStretchy(this.data["sep"+p],o,s,q);this.HTMLcheckStretchy(this.data[p],o,s,q)}}this.HTMLcheckStretchy(this.data.close,o,s,q);this.HTMLcleanBBox(o);return s},HTMLcheckStretchy:function(m,n,p,o){if(m){if(!o&&m.HTMLcanStretch("Vertical")){p.push(m);m=(m.CoreMO()||m)}this.HTMLcombineBBoxes(m,n)}}});i.menclose.Augment({toHTML:i.mbase.HTMLautoload});i.maction.Augment({toHTML:i.mbase.HTMLautoload});i.semantics.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.munderover.Augment({toHTML:function(M,I,G){var n=this.getValues("displaystyle","accent","accentunder","align");var q=this.data[this.base];if(!n.displaystyle&&q!=null&&(q.movablelimits||q.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toHTML.call(this,M)}M=this.HTMLcreateSpan(M);var Q=this.HTMLgetScale();var r=d.createStack(M);var s=[],p=[],O=[],z,N,J;for(N=0,J=this.data.length;N<J;N++){if(this.data[N]!=null){z=s[N]=d.createBox(r);p[N]=this.data[N].toHTML(z);if(N==this.base){if(G!=null){this.data[this.base].HTMLstretchV(z,I,G)}else{if(I!=null){this.data[this.base].HTMLstretchH(z,I)}}O[N]=(G==null&&I!=null?false:this.data[N].HTMLcanStretch("Horizontal"));if(this.data[this.over]&&n.accent){p[N].bbox.h=Math.max(p[N].bbox.h,Q*d.TeX.x_height)}}else{O[N]=this.data[N].HTMLcanStretch("Horizontal");p[N].style.paddingLeft=p[N].style.paddingRight=""}}}d.MeasureSpans(p);var o=-d.BIGDIMEN,L=o;for(N=0,J=this.data.length;N<J;N++){if(this.data[N]){if(s[N].bbox.w>L){L=s[N].bbox.w}if(!O[N]&&L>o){o=L}}}if(G==null&&I!=null){o=I}else{if(o==-d.BIGDIMEN){o=L}}for(N=L=0,J=this.data.length;N<J;N++){if(this.data[N]){z=s[N];if(O[N]){z.bbox=this.data[N].HTMLstretchH(z,o).bbox;if(N!==this.base){p[N].style.paddingLeft=p[N].style.paddingRight=""}}if(z.bbox.w>L){L=z.bbox.w}}}var F=d.TeX.rule_thickness*this.mscale,H=d.FONTDATA.TeX_factor;var w,u,B,A,v,E,K,P=0;q=s[this.base]||{bbox:this.HTMLzeroBBox()};if(q.bbox.ic){P=1.3*q.bbox.ic+0.05}for(N=0,J=this.data.length;N<J;N++){if(this.data[N]!=null){z=s[N];v=d.TeX.big_op_spacing5*Q;var C=(N!=this.base&&n[this.ACCENTS[N]]);if(C&&z.bbox.w<=1/d.em+0.0001){z.bbox.w=z.bbox.rw-z.bbox.lw;z.bbox.noclip=true;if(z.bbox.lw){z.insertBefore(d.createSpace(z.parentNode,0,0,-z.bbox.lw),z.firstChild)}d.createBlank(z,0,0,z.bbox.rw+0.1)}E={left:0,center:(L-z.bbox.w)/2,right:L-z.bbox.w}[n.align];w=E;u=0;if(N==this.over){if(C){K=Math.max(F*Q*H,2.5/this.em);v=0;if(q.bbox.skew){w+=q.bbox.skew;M.bbox.skew=q.bbox.skew;if(w+z.bbox.w>L){M.bbox.skew+=(L-z.bbox.w-w)/2}}}else{B=d.TeX.big_op_spacing1*Q*H;A=d.TeX.big_op_spacing3*Q*H;K=Math.max(B,A-Math.max(0,z.bbox.d))}K=Math.max(K,1.5/this.em);w+=P/2;u=q.bbox.h+z.bbox.d+K;z.bbox.h+=v}else{if(N==this.under){if(C){K=3*F*Q*H;v=0}else{B=d.TeX.big_op_spacing2*Q*H;A=d.TeX.big_op_spacing4*Q*H;K=Math.max(B,A-z.bbox.h)}K=Math.max(K,1.5/this.em);w-=P/2;u=-(q.bbox.d+z.bbox.h+K);z.bbox.d+=v}}d.placeBox(z,w,u)}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.msubsup.Augment({toHTML:function(M,K,F){M=this.HTMLcreateSpan(M);var P=this.HTMLgetScale(),J=this.HTMLgetMu(M);var y=d.createStack(M),n,w=[];var x=d.createBox(y);if(this.data[this.base]){w.push(this.data[this.base].toHTML(x));if(F!=null){this.data[this.base].HTMLstretchV(x,K,F)}else{if(K!=null){this.data[this.base].HTMLstretchH(x,K)}}}else{x.bbox=this.HTMLzeroBBox()}var N=d.TeX.x_height*P,E=d.TeX.scriptspace*P*0.75;var m,z;if(this.HTMLnotEmpty(this.data[this.sup])){m=d.createBox(y);w.push(this.data[this.sup].toHTML(m))}if(this.HTMLnotEmpty(this.data[this.sub])){z=d.createBox(y);w.push(this.data[this.sub].toHTML(z))}d.MeasureSpans(w);if(m){m.bbox.w+=E;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}if(z){z.bbox.w+=E;z.bbox.rw=Math.max(z.bbox.w,z.bbox.rw)}d.placeBox(x,0,0);var o=P;if(m){o=this.data[this.sup].HTMLgetScale()}else{if(z){o=this.data[this.sub].HTMLgetScale()}}var H=d.TeX.sup_drop*o,G=d.TeX.sub_drop*o;var B=x.bbox.h-H,A=x.bbox.d+G,O=0,I;if(x.bbox.ic){x.bbox.w-=x.bbox.ic;O=1.3*x.bbox.ic+0.05}if(this.data[this.base]&&K==null&&F==null&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(d.isChar(this.data[this.base].data.join(""))&&w[0].scale===1&&!this.data[this.base].Get("largeop")){B=A=0}}var L=this.getValues("subscriptshift","superscriptshift");L.subscriptshift=(L.subscriptshift===""?0:d.length2em(L.subscriptshift,J));L.superscriptshift=(L.superscriptshift===""?0:d.length2em(L.superscriptshift,J));if(!m){if(z){A=Math.max(A,d.TeX.sub1*P,z.bbox.h-(4/5)*N,L.subscriptshift);d.placeBox(z,x.bbox.w,-A,z.bbox)}}else{if(!z){n=this.getValues("displaystyle","texprimestyle");I=d.TeX[(n.displaystyle?"sup1":(n.texprimestyle?"sup3":"sup2"))];B=Math.max(B,I*P,m.bbox.d+(1/4)*N,L.superscriptshift);d.placeBox(m,x.bbox.w+O,B,m.bbox)}else{A=Math.max(A,d.TeX.sub2*P);var C=d.TeX.rule_thickness*P;if((B-m.bbox.d)-(z.bbox.h-A)<3*C){A=3*C-B+m.bbox.d+z.bbox.h;H=(4/5)*N-(B-m.bbox.d);if(H>0){B+=H;A-=H}}d.placeBox(m,x.bbox.w+O,Math.max(B,L.superscriptshift));d.placeBox(z,x.bbox.w,-Math.max(A,L.subscriptshift))}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload});i.mtable.Augment({toHTML:i.mbase.HTMLautoload});i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload});i.annotation.Augment({toHTML:function(m){return this.HTMLcreateSpan(m)}});i.math.Augment({toHTML:function(E,B,t){var u,w,x,r,m=E;if(!t||t===d.PHASE.I){var C=d.addElement(E,"nobr",{isMathJax:true});E=this.HTMLcreateSpan(C);var n=this.Get("alttext");if(n&&!E.getAttribute("aria-label")){E.setAttribute("aria-label",n)}u=d.createStack(E);w=d.createBox(u);u.style.fontSize=C.parentNode.style.fontSize;C.parentNode.style.fontSize="";if(this.data[0]!=null){i.mbase.prototype.displayAlign=b.config.displayAlign;i.mbase.prototype.displayIndent=b.config.displayIndent;if(String(b.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}x=this.data[0].toHTML(w);x.bbox.exactW=false}}else{E=E.firstChild.firstChild;if(this.href){E=E.firstChild}u=E.firstChild;if(u.style.position!=="relative"){u=u.nextSibling}w=u.firstChild;x=w.firstChild}r=((!t||t===d.PHASE.II)?d.Measured(x,w):x);if(!t||t===d.PHASE.III){d.placeBox(w,0,0);var q=r.bbox.w;q=Math.abs(q)<0.006?0:Math.max(0,Math.round(q*this.em)+0.25);E.style.width=d.EmRounded(q/d.outerEm);E.style.display="inline-block";var A=1/d.em,G=d.em/d.outerEm;d.em/=G;E.bbox.h*=G;E.bbox.d*=G;E.bbox.w*=G;E.bbox.lw*=G;E.bbox.rw*=G;if(E.bbox.H){E.bbox.H*=G}if(E.bbox.D){E.bbox.D*=G}if(r&&r.bbox.width!=null){E.style.minWidth=(r.bbox.minWidth||E.style.width);E.style.width=r.bbox.width;w.style.width=u.style.width="100%";m.className+=" MathJax_FullWidth"}var D=this.HTMLhandleColor(E);if(r){d.createRule(E,(r.bbox.h+A)*G,(r.bbox.d+A)*G,0)}if(!this.isMultiline&&this.Get("display")==="block"&&E.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===i.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}if(o.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift="0"}var F=d.length2em(o.indentshift,1,d.scale*d.cwidth);if(this.displayIndent!=="0"){var y=d.length2em(this.displayIndent,1,d.scale*d.cwidth);F+=(o.indentalign===i.INDENTALIGN.RIGHT?-y:y)}m.style.textAlign=B.style.textAlign=o.indentalign;if(F){b.Insert(E.style,({left:{marginLeft:d.Em(F)},right:{marginRight:d.Em(-F)},center:{marginLeft:d.Em(F),marginRight:d.Em(-F)}})[o.indentalign]);if(D){var v=parseFloat(D.style.marginLeft||"0")+F,s=parseFloat(D.style.marginRight||"0")-F;D.style.marginLeft=d.Em(v);D.style.marginRight=d.Em(s+(o.indentalign==="right"?E.bbox.w+F-E.bbox.w:0));if(d.msieColorBug&&o.indentalign==="right"){if(parseFloat(D.style.marginLeft)>0){var z=MathJax.HTML.addElement(D.parentNode,"span");z.style.marginLeft=d.Em(s+Math.min(0,E.bbox.w+F));D.nextSibling.style.marginRight="0em"}D.nextSibling.style.marginLeft="0em";D.style.marginRight=D.style.marginLeft="0em"}}}}}return E},HTMLspanElement:i.mbase.prototype.HTMLspanElement});i.TeXAtom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){if(this.texClass===i.TEXCLASS.VCENTER){var m=d.createStack(q);var r=d.createBox(m);var t=this.data[0].toHTML(r);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(r,o,s),r)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(r,o),r)}else{d.Measured(t,r)}}var n=d.TeX.axis_height*this.HTMLgetScale();d.placeBox(r,0,n-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var p=this.data[0].toHTML(q,o,s);if(s!=null){p=this.data[0].HTMLstretchV(r,o,s)}else{if(o!=null){p=this.data[0].HTMLstretchH(r,o)}}q.bbox=p.bbox}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});b.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(m){var q=(document.documentMode||0);var p=m.versionAtLeast("7.0");var o=m.versionAtLeast("8.0")&&q>7;var n=(document.compatMode==="BackCompat");if(q<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:(q<8),msieColorPositionBug:true,msieRelativeWidthBug:n,msieDisappearingBug:(q>=8),msieMarginScaleBug:(q<8),msiePaddingWidthBug:true,msieBorderWidthBug:n,msieFrameSizeBug:(q<=8),msieInlineBlockAlignBug:(!o||n),msiePlaceBoxBug:(o&&!n),msieClipRectBug:!o,msieNegativeSpaceBug:n,msieRuleBug:(q<7),cloneNodeBug:(o&&m.version==="8.0"),msieItalicWidthBug:true,initialSkipBug:(q<8),msieNegativeBBoxBug:(q>=8),msieIE6:!p,msieItalicWidthBug:true,FontFaceBug:(q<9),msieFontCSSBug:m.isIE9,allowWebFonts:(q>=9?"woff":"eot")})},Firefox:function(n){var o=false;if(n.versionAtLeast("3.5")){var m=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,m.length)===m){o="otf"}}d.Augment({ffVerticalAlignBug:!n.versionAtLeast("20.0"),AccentBug:true,allowWebFonts:o,ffFontOptimizationBug:true})},Safari:function(r){var p=r.versionAtLeast("3.0");var o=r.versionAtLeast("3.1");var m=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var n=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var s=(o&&r.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!r.versionAtLeast("5.0"))||(n!=null&&(n[1]<2||(n[1]==2&&n[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:((r.webkit||0)>=538?d.EmRounded:d.Em),rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!o,safariTextNodeBug:!p,forceReflow:true,FontFaceBug:true,combiningCharBug:parseInt(r.webkit)>=602,allowWebFonts:(o&&!s?"otf":false)});if(m){d.Augment({webFontDefault:(r.isMobile?"sans-serif":"serif")})}if(r.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(s){var q=b.config["HTML-CSS"];if(q){q.availableFonts=[];q.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(m){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:-0.02,AccentBug:true,AdjustSurd:true,FontFaceBug:m.versionAtLeast("32.0"),negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(m.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(m){m.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:m.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(m.versionAtLeast("10.0")&&!m.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(m){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_HTMLorMML-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_HTMLorMML-full.js");
diff --git a/config/MML_HTMLorMML.js b/config/MML_HTMLorMML.js
index 526f5b446f..97cd842172 100644
--- a/config/MML_HTMLorMML.js
+++ b/config/MML_HTMLorMML.js
@@ -38,19 +38,107 @@ MathJax.Hub.Config({
   
 });
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
 (function(c,g){var f="2.7.0";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_HTMLorMML.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_HTMLorMML.js");
diff --git a/config/MML_SVG-full.js b/config/MML_SVG-full.js
index 96eca17f5d..dab46b5512 100644
--- a/config/MML_SVG-full.js
+++ b/config/MML_SVG-full.js
@@ -35,19 +35,107 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.9",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
-(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);var o=n.Add(this.data[0].toSVG());n.Clean();if(o.ic){n.ic=o.ic}this.SVGhandleColor(n)}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aI<aE;aI++){S=this.data[aI];az=(S.type==="mlabeledtr"?aK:0);O[aI]=[];z[aI]=ac;I[aI]=ag;for(aG=az,u=S.data.length+az;aG<u;aG++){if(k[aG]==null){if(aG>w){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aI<aE;aI++){am[aI]=d.length2em(am[aI],v)}for(aI=0,aE=T.length;aI<aE;aI++){T[aI]=d.length2em(T[aI],v)}while(am.length<w){am.push(am[am.length-1])}while(ai.length<=w){ai.push(ai[ai.length-1])}while(N.length<w){N.push(N[N.length-1])}while(ar.length<=w){ar.push(ar[ar.length-1])}while(T.length<O.length){T.push(T[T.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(h.length<O.length){h.push(h[h.length-1])}if(K[aK]){ai[aK]=(aN.side.substr(0,1)==="l"?"left":"right");am[aK]=-k[aK]}for(aI=0,aE=O.length;aI<aE;aI++){S=this.data[aI];aw[aI]=[];if(S.rowalign){L[aI]=S.rowalign}if(S.columnalign){aw[aI]=ao(S.columnalign);while(aw[aI].length<=w){aw[aI].push(aw[aI][aw[aI].length-1])}}}if(aN.equalrows){var U=Math.max.apply(Math,z),aq=Math.max.apply(Math,I);for(aI=0,aE=O.length;aI<aE;aI++){az=((U+aq)-(z[aI]+I[aI]))/2;z[aI]+=az;I[aI]+=az}}aA=z[0]+I[O.length-1];for(aI=0,aE=O.length-1;aI<aE;aI++){aA+=Math.max(0,I[aI]+z[aI+1]+T[aI])}var ae=0,ab=0,aB,aL=aA;if(aN.frame!=="none"||(aN.columnlines+aN.rowlines).match(/solid|dashed/)){var t=ao(aN.framespacing);if(t.length!=2){t=ao(this.defaults.framespacing)}ae=d.length2em(t[0],v);ab=d.length2em(t[1],v);aL=aA+2*ab}var g,ay,aD="";if(typeof(aN.align)!=="string"){aN.align=String(aN.align)}if(aN.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aD=RegExp.$3||"";aN.align=RegExp.$1}else{aN.align=this.defaults.align}if(aD!==""){aD=parseInt(aD);if(aD<0){aD=O.length+1+aD}if(aD<1){aD=1}else{if(aD>O.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI<aE;aI++){var Z=Math.max(0,I[aI]+z[aI+1]+T[aI]);g+=Z;ay+=Z}}else{g=({top:-(z[0]+ab),bottom:aA+ab-z[0],center:aA/2-z[0],baseline:aA/2-z[0],axis:aA/2+d.TeX.axis_height*ap-z[0]})[aN.align];ay=({top:-(aA+2*ab),bottom:0,center:-(aA/2+ab),baseline:-(aA/2+ab),axis:d.TeX.axis_height*ap-aA/2-ab})[aN.align]}var at,ax=0,V=0,X=0,aC=0,aJ=0,r=[],B=[],aj=1;if(aN.equalcolumns&&aN.width!=="auto"){at=d.length2em(aN.width,v);for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}at/=w;for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){k[aI]=at}}else{for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){if(ar[aI]==="auto"){V+=k[aI]}else{if(ar[aI]==="fit"){B[aJ]=aI;aJ++;V+=k[aI]}else{if(ar[aI].match(/%$/)){r[aC]=aI;aC++;X+=k[aI];ax+=d.length2em(ar[aI],v,1)}else{k[aI]=d.length2em(ar[aI],v);V+=k[aI]}}}}if(aN.width==="auto"){if(ax>0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}}for(aI=0,aE=r.length;aI<aE;aI++){k[r[aI]]=d.length2em(ar[r[aI]],v,at*aj);V+=k[r[aI]]}if(Math.abs(at-V)>0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aI<aE;aI++){k[B[aI]]+=at}}else{at=at/V;for(aG=0;aG<=w;aG++){k[aG]*=at}}}if(aN.equalcolumns){var af=Math.max.apply(Math,k);for(aG=0;aG<=w;aG++){k[aG]=af}}}var au=g,l,aF;az=(K[aK]?aK:0);for(aG=az;aG<=w;aG++){K[aG].w=k[aG];for(aI=0,aE=O.length;aI<aE;aI++){if(O[aI][aG]){az=(this.data[aI].type==="mlabeledtr"?aK:0);an=this.data[aI].data[aG-az];if(an.SVGcanStretch("Horizontal")){O[aI][aG]=an.SVGstretchH(k[aG])}else{if(an.SVGcanStretch("Vertical")){E=an.CoreMO();var ad=E.symmetric;E.symmetric=false;O[aI][aG]=an.SVGstretchV(z[aI],I[aI]);E.symmetric=ad}}aF=an.rowalign||this.data[aI].rowalign||L[aI];l=({top:z[aI]-O[aI][aG].h,bottom:O[aI][aG].d-I[aI],center:((z[aI]-I[aI])-(O[aI][aG].h-O[aI][aG].d))/2,baseline:0,axis:0})[aF]||0;aF=(an.columnalign||aw[aI][aG]||ai[aG]);K[aG].Align(O[aI][aG],aF,0,au+l)}if(aI<O.length-1){au-=Math.max(0,I[aI]+z[aI+1]+T[aI])}}au=g}var ah=1.5*d.em;var av=ae-ah/2;for(aG=0;aG<=w;aG++){o.Add(K[aG],av,0);av+=k[aG]+am[aG];if(N[aG]!=="none"&&aG<w&&aG!==aK){o.Add(b.VLINE(aL,ah,N[aG]),av-am[aG]/2,ay)}}o.w+=ae;o.d=-ay;o.h=aL+ay;aB=o.w;if(aN.frame!=="none"){o.Add(b.HLINE(aB,ah,aN.frame),0,ay+aL-ah);o.Add(b.HLINE(aB,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),aB-ah,ay)}au=g-ah/2;for(aI=0,aE=O.length-1;aI<aE;aI++){l=Math.max(0,I[aI]+z[aI+1]+T[aI]);if(h[aI]!==a.LINES.NONE&&h[aI]!==""){o.Add(b.HLINE(aB,ah,h[aI]),0,au-I[aI]-(l-I[aI]-z[aI+1])/2)}au-=l}o.Clean();this.SVGhandleSpace(o);this.SVGhandleColor(o);if(K[aK]){o.tw=Math.max(o.w,o.r)-Math.min(0,o.l);var R=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(R.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){R.indentalign=R.indentalignfirst}if(R.indentalign===a.INDENTALIGN.AUTO){R.indentalign=this.displayAlign}if(R.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){R.indentshift=R.indentshiftfirst}if(R.indentshift==="auto"||R.indentshift===""){R.indentshift="0"}var ak=d.length2em(R.indentshift,v,d.cwidth);var Q=d.length2em(aN.minlabelspacing,v,d.cwidth);var al=Q+K[aK].w,aO=0,aH=o.w;var e=d.length2em(this.displayIndent,v,d.cwidth);az=(ai[aK]===a.INDENTALIGN.RIGHT?-1:1);if(R.indentalign===a.INDENTALIGN.CENTER){var q=(d.cwidth-aH)/2;ak+=e;if(al+az*aO>q+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
+(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}o.D=o.d;o.H=o.h;o.r=Math.max(0,Math.min(o.w,o.r));o.l=Math.max(0,Math.min(o.w,o.l))}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(o);var p=o.Add(this.data[0].toSVG(n,q));o.Clean();if(p.ic){o.ic=p.ic}this.SVGhandleColor(o)}this.SVGsaveData(o);return o}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aI<aE;aI++){S=this.data[aI];az=(S.type==="mlabeledtr"?aK:0);O[aI]=[];z[aI]=ac;I[aI]=ag;for(aG=az,u=S.data.length+az;aG<u;aG++){if(k[aG]==null){if(aG>w){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aI<aE;aI++){am[aI]=d.length2em(am[aI],v)}for(aI=0,aE=T.length;aI<aE;aI++){T[aI]=d.length2em(T[aI],v)}while(am.length<w){am.push(am[am.length-1])}while(ai.length<=w){ai.push(ai[ai.length-1])}while(N.length<w){N.push(N[N.length-1])}while(ar.length<=w){ar.push(ar[ar.length-1])}while(T.length<O.length){T.push(T[T.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(h.length<O.length){h.push(h[h.length-1])}if(K[aK]){ai[aK]=(aN.side.substr(0,1)==="l"?"left":"right");am[aK]=-k[aK]}for(aI=0,aE=O.length;aI<aE;aI++){S=this.data[aI];aw[aI]=[];if(S.rowalign){L[aI]=S.rowalign}if(S.columnalign){aw[aI]=ao(S.columnalign);while(aw[aI].length<=w){aw[aI].push(aw[aI][aw[aI].length-1])}}}if(aN.equalrows){var U=Math.max.apply(Math,z),aq=Math.max.apply(Math,I);for(aI=0,aE=O.length;aI<aE;aI++){az=((U+aq)-(z[aI]+I[aI]))/2;z[aI]+=az;I[aI]+=az}}aA=z[0]+I[O.length-1];for(aI=0,aE=O.length-1;aI<aE;aI++){aA+=Math.max(0,I[aI]+z[aI+1]+T[aI])}var ae=0,ab=0,aB,aL=aA;if(aN.frame!=="none"||(aN.columnlines+aN.rowlines).match(/solid|dashed/)){var t=ao(aN.framespacing);if(t.length!=2){t=ao(this.defaults.framespacing)}ae=d.length2em(t[0],v);ab=d.length2em(t[1],v);aL=aA+2*ab}var g,ay,aD="";if(typeof(aN.align)!=="string"){aN.align=String(aN.align)}if(aN.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aD=RegExp.$3||"";aN.align=RegExp.$1}else{aN.align=this.defaults.align}if(aD!==""){aD=parseInt(aD);if(aD<0){aD=O.length+1+aD}if(aD<1){aD=1}else{if(aD>O.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI<aE;aI++){var Z=Math.max(0,I[aI]+z[aI+1]+T[aI]);g+=Z;ay+=Z}}else{g=({top:-(z[0]+ab),bottom:aA+ab-z[0],center:aA/2-z[0],baseline:aA/2-z[0],axis:aA/2+d.TeX.axis_height*ap-z[0]})[aN.align];ay=({top:-(aA+2*ab),bottom:0,center:-(aA/2+ab),baseline:-(aA/2+ab),axis:d.TeX.axis_height*ap-aA/2-ab})[aN.align]}var at,ax=0,V=0,X=0,aC=0,aJ=0,r=[],B=[],aj=1;if(aN.equalcolumns&&aN.width!=="auto"){at=d.length2em(aN.width,v);for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}at/=w;for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){k[aI]=at}}else{for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){if(ar[aI]==="auto"){V+=k[aI]}else{if(ar[aI]==="fit"){B[aJ]=aI;aJ++;V+=k[aI]}else{if(ar[aI].match(/%$/)){r[aC]=aI;aC++;X+=k[aI];ax+=d.length2em(ar[aI],v,1)}else{k[aI]=d.length2em(ar[aI],v);V+=k[aI]}}}}if(aN.width==="auto"){if(ax>0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}}for(aI=0,aE=r.length;aI<aE;aI++){k[r[aI]]=d.length2em(ar[r[aI]],v,at*aj);V+=k[r[aI]]}if(Math.abs(at-V)>0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aI<aE;aI++){k[B[aI]]+=at}}else{at=at/V;for(aG=0;aG<=w;aG++){k[aG]*=at}}}if(aN.equalcolumns){var af=Math.max.apply(Math,k);for(aG=0;aG<=w;aG++){k[aG]=af}}}var au=g,l,aF;az=(K[aK]?aK:0);for(aG=az;aG<=w;aG++){K[aG].w=k[aG];for(aI=0,aE=O.length;aI<aE;aI++){if(O[aI][aG]){az=(this.data[aI].type==="mlabeledtr"?aK:0);an=this.data[aI].data[aG-az];if(an.SVGcanStretch("Horizontal")){O[aI][aG]=an.SVGstretchH(k[aG])}else{if(an.SVGcanStretch("Vertical")){E=an.CoreMO();var ad=E.symmetric;E.symmetric=false;O[aI][aG]=an.SVGstretchV(z[aI],I[aI]);E.symmetric=ad}}aF=an.rowalign||this.data[aI].rowalign||L[aI];l=({top:z[aI]-O[aI][aG].h,bottom:O[aI][aG].d-I[aI],center:((z[aI]-I[aI])-(O[aI][aG].h-O[aI][aG].d))/2,baseline:0,axis:0})[aF]||0;aF=(an.columnalign||aw[aI][aG]||ai[aG]);K[aG].Align(O[aI][aG],aF,0,au+l)}if(aI<O.length-1){au-=Math.max(0,I[aI]+z[aI+1]+T[aI])}}au=g}var ah=1.5*d.em;var av=ae-ah/2;for(aG=0;aG<=w;aG++){o.Add(K[aG],av,0);av+=k[aG]+am[aG];if(N[aG]!=="none"&&aG<w&&aG!==aK){o.Add(b.VLINE(aL,ah,N[aG]),av-am[aG]/2,ay)}}o.w+=ae;o.d=-ay;o.h=aL+ay;aB=o.w;if(aN.frame!=="none"){o.Add(b.HLINE(aB,ah,aN.frame),0,ay+aL-ah);o.Add(b.HLINE(aB,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),aB-ah,ay)}au=g-ah/2;for(aI=0,aE=O.length-1;aI<aE;aI++){l=Math.max(0,I[aI]+z[aI+1]+T[aI]);if(h[aI]!==a.LINES.NONE&&h[aI]!==""){o.Add(b.HLINE(aB,ah,h[aI]),0,au-I[aI]-(l-I[aI]-z[aI+1])/2)}au-=l}o.Clean();this.SVGhandleSpace(o);this.SVGhandleColor(o);if(K[aK]){o.tw=Math.max(o.w,o.r)-Math.min(0,o.l);var R=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(R.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){R.indentalign=R.indentalignfirst}if(R.indentalign===a.INDENTALIGN.AUTO){R.indentalign=this.displayAlign}if(R.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){R.indentshift=R.indentshiftfirst}if(R.indentshift==="auto"||R.indentshift===""){R.indentshift="0"}var ak=d.length2em(R.indentshift,v,d.cwidth);var Q=d.length2em(aN.minlabelspacing,v,d.cwidth);var al=Q+K[aK].w,aO=0,aH=o.w;var e=d.length2em(this.displayIndent,v,d.cwidth);az=(ai[aK]===a.INDENTALIGN.RIGHT?-1:1);if(R.indentalign===a.INDENTALIGN.CENTER){var q=(d.cwidth-aH)/2;ak+=e;if(al+az*aO>q+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_SVG-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_SVG-full.js");
diff --git a/config/MML_SVG.js b/config/MML_SVG.js
index 372de957c9..107d32802c 100644
--- a/config/MML_SVG.js
+++ b/config/MML_SVG.js
@@ -33,17 +33,105 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.9",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_SVG.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/MML_SVG.js");
diff --git a/config/MMLorHTML.js b/config/MMLorHTML.js
index 727861ecd7..de766bc860 100644
--- a/config/MMLorHTML.js
+++ b/config/MMLorHTML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/config/MMLorHTML.js
+ *  /MathJax-v2/config/MMLorHTML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/config/Safe.js b/config/Safe.js
index a76efe4e8b..411175b263 100644
--- a/config/Safe.js
+++ b/config/Safe.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/config/Safe.js
+ *  /MathJax-v2/config/Safe.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/config/TeX-AMS-MML_HTMLorMML-full.js b/config/TeX-AMS-MML_HTMLorMML-full.js
index bc46d87307..4196515941 100644
--- a/config/TeX-AMS-MML_HTMLorMML-full.js
+++ b/config/TeX-AMS-MML_HTMLorMML-full.js
@@ -47,29 +47,117 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
 (function(c,g){var f="2.7.0";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(l,c,g,e){var f,i=c.Browser.isMSIE;var h,b,d,k;c.Register.StartupHook("MathZoom Ready",function(){k=MathJax.Extension.MathZoom});var j=function(m,o){var n=e.Element("span");m="padding"+m;if(o){n.style.cssText=(o.getAttribute("style")||"");if(n.style.padding===""&&(n.style[m]||"")===""){n.style[m]="0px";o.setAttribute("style",n.style.cssText)}}};var a=function(r,m,p){if(r){var o=e.Element("span");o.style.cssText=(r.getAttribute("style")||"");if(o.style.padding===""){var q={paddingLeft:p,paddingTop:m,paddingRight:"0px",paddingBottom:"0px"};for(var n in q){if(q.hasOwnProperty(n)){if((o.style[n]||"")===""){o.style[n]=q[n]}}}}r.setAttribute("style",o.style.cssText)}};l.Augment({config:{styles:{".MathJax_MathML":{"font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},"span.MathJax_MathML":{display:"inline!important"},"div.MathJax_MathML":{display:"block!important"},".MathJax_mmlExBox":{display:"block!important",overflow:"hidden",height:"1px",width:"60ex","min-height":0,"max-height":"none",padding:0,border:0,margin:0}}},handlesVariants:false,settings:c.config.menuSettings,ex:1,scale:1,adjustWidths:[],Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(c.config.displayAlign!=="center"){var o=c.config.displayAlign,m=c.config.displayIndent;var n={"text-align":o+"!important"};n["margin-"+o]=m+"!important";c.Insert(this.config.styles,{"div.MathJax_MathML":n,"div.MathJax_MathML math":{"text-align":o},"div.MathJax_MathContainer > span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!c.Browser.hasMathPlayer){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(c.Browser.hasMathPlayer){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){if(!this.config.noMathPlayerWarning){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}if(!this.initialized){this.InitializeMML()}r=y.previousSibling;if(r&&r.className==="MathJax_MathML"){r.parentNode.removeChild(r)}n=y.MathJax.elementJax;if(!n){continue}z=n.root;n.NativeMML={};var x=(z.Get("display")==="block"?"div":"span");A=e.Element(x,{className:"MathJax_MathML",id:n.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);y.parentNode.insertBefore(A,y);if(!i){y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y)}}for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}n=y.MathJax.elementJax;if(!n){continue}if(!i){w=y.previousSibling;v=w.firstChild.offsetWidth/60;s=w.lastChild.offsetWidth/60;if(v===0||v==="NaN"){v=this.defaultEx;s=this.defaultMEx}q=(this.config.matchFontHeight&&s>1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;u<p;u++){y=t[u];if(y.parentNode&&y.MathJax.elementJax){y.parentNode.removeChild(y.previousSibling)}}}},Translate:function(s){if(!s.parentNode){return}var m=s.MathJax.elementJax,t=m.root;var u=document.getElementById(m.inputID+"-Frame");if(!u){return}var n=u.firstChild,q=n.firstChild;this.ex=m.NativeMML.ex||this.defaultEx;this.scale=m.NativeMML.scale||1;if(this.scale!==1){u.style.fontSize=m.NativeMML.fontSize}try{t.toNativeMML(q,m)}catch(r){if(r.restart){while(q.firstChild){q.removeChild(q.firstChild)}}throw r}if(i){if(n.addEventListener){for(var o in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(o)){n.addEventListener(o,this.MSIE9event,true)}}}else{var p=(this.config.showMathMenuMSIE!=null?this:c).config;if(p.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(n)}else{n.style.position="";q.firstChild.onmousedown=this.MSIEaltMenu}}}else{n.oncontextmenu=h.Menu;n.onmouseover=h.Mouseover;n.onmouseout=h.Mouseout;n.onmousedown=h.Mousedown;n.onclick=h.Click;n.ondblclick=h.DblClick;n.onkeydown=h.Keydown;n.tabIndex=c.getTabOrder(m);if(c.Browser.noContextMenu){n.ontouchstart=b.start;n.ontouchend=b.end}}},postTranslate:function(n){if(this.forceReflow){var m=(document.styleSheets||[])[0]||{};m.disabled=true;m.disabled=false}},Remove:function(m){var n=m.SourceElement();if(!n){return}n=n.previousSibling;if(!n){return}if(n.className.match(/MathJax_MathML/)){n.parentNode.removeChild(n)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",isFullWidth:function(r){if(!r){return}var q=r.getAttribute("width")||(String(r.getAttribute("style")).match(/(?:^| )width: *([^; ]*)/)||[])[1];if(q){return !!q.match(/%/)}if(r.nodeName.match(/^(semantics|math|mstyle)$/)){q=this.isFullWidth(r.firstChild)}else{if(r.nodeName.toLowerCase()==="mrow"){for(var o=0,n=r.childNodes.length;o<n&&!q;o++){q=this.isFullWidth(r.childNodes[o])}}}if(q){var p="width:100%; "+(r.getAttribute("style")||"");r.setAttribute("style",p.replace(/ +$/,""))}return q},MSIEoverlay:function(m){var n=m.firstChild;if(n.nodeName.toLowerCase()==="span"){n=n.firstChild}var o=this.getHoverBBox(null,n,{});e.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:d.Px(-o.w),top:d.Px(-o.h-(o.y||0)-1),width:d.Px(o.w),height:d.Px(o.h+o.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);c.Insert(m,{msieMath:n,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var n=window.event;var m=l.MSIEevents[n.type];if(l[m]&&l[m](n,this)===false){return false}if(k&&k.HandleEvent(n,m,this)===false){return false}if(n.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(m==="ContextMenu"||m==="Mouseover"||m==="Mouseout"){this.msieMath.fireEvent("on"+n.type,n)}}return h.False(n)},MSIEaltMenu:function(){var m=this.parentNode.parentNode;while(!m.jaxID){m=m.parentNode}h.AltContextMenu(window.event,m)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(n){if(n.type==="contextmenu"&&l.settings.mpContext){return true}if(n.type==="mouseup"&&l.settings.mpMouse){return true}if(n.type==="click"&&l.settings.mpContext){return h.AltContextMenu(n,this)}var m=l.MSIE9events[n.type];return h[m].call(this,n)},getJaxFromMath:function(m){m=m.parentNode;do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return c.getJaxFor(m)},getHoverSpan:function(m,n){return n.firstChild},getHoverBBox:function(m,n,o){return h.getBBox(n.parentNode)},Zoom:function(n,u,s,m,r){n.root.toNativeMML(u);if(this.msieIE8HeightBug){u.style.position="absolute"}if(l.widthBug){u.style.width=u.parentNode.style.width=""}if(u.parentNode.style.width.match(/%$/)){u.parentNode.style.minWidth=Math.ceil(3*r/4)+"px"}var p=s.offsetWidth||s.scrollWidth,v=s.offsetHeight||s.scrollHeight;var t=u.offsetWidth,q=u.offsetHeight;if(l.widthBug||u.style.width.match(/%/)){var o=u.firstChild.firstChild.scrollWidth;if(o>t){t=o;u.parentNode.style.width=u.style.minWidth=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}r.appendChild(p)},NativeMMLattributes:function(w){var r=(this.type==="mstyle"?f.math.prototype.defaults:this.defaults);var t=(this.attrNames||f.copyAttributeNames),v=f.skipAttributes,o=f.copyAttributes;if(!this.attrNames){for(var p in r){if(!v[p]&&!o[p]&&r.hasOwnProperty(p)){if(this[p]!=null&&this[p]!==r[p]){if(this.Get(p,null,1)!==this[p]){w.setAttribute(p,this.NativeMMLattribute(this[p]))}}}}}for(var s=0,q=t.length;s<q;s++){if(o[t[s]]===1&&!r.hasOwnProperty(t[s])){continue}var u=(this.attr||{})[t[s]];if(u==null){u=this[t[s]]}if(u!=null){w.setAttribute(t[s],this.NativeMMLattribute(u))}}this.NativeMMLclass(w)},NativeMMLclass:function(o){var q=[];if(this["class"]){q.push(this["class"])}if(this.isa(f.TeXAtom)){var p=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(p){q.push("MJX-TeXAtom-"+p);if(p==="OP"&&!this.movablelimits){q.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){q.push("MJX"+this.mathvariant)}if(this.variantForm){q.push("MJX-variant")}if(q.length){o.setAttribute("class",q.join(" "))}},NativeMMLattribute:function(o){o=String(o);if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}else{if(o.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){o=(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.NativeMMLvariants[o]){o=this.NativeMMLvariants[o]}}}return o},NativeMMLvariants:{"-tex-caligraphic":f.VARIANT.SCRIPT,"-tex-caligraphic-bold":f.VARIANT.BOLDSCRIPT,"-tex-oldstyle":f.VARIANT.NORMAL,"-tex-oldstyle-bold":f.VARIANT.BOLD,"-tex-mathit":f.VARIANT.ITALIC},NativeMMLelement:function(o){var p=(c.Browser.mpNamespace?document.createElement("m:"+o):(document.createElementNS?document.createElementNS(l.MMLnamespace,o):document.createElement(o)));p.isMathJax=true;return p}});f.mrow.Augment({toNativeMML:function(s){var r,p;if(this.inferred&&this.parent.inferRow){for(r=0,p=this.data.length;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(s)}else{s.appendChild(this.NativeMMLelement("mrow"))}}}else{if(l.stretchyMoBug&&(this.open||this.close)){var q=this.NativeMMLelement("mfenced");this.NativeMMLattributes(q);r=0,p=this.data.length;if(this.open){q.setAttribute("open",this.open);r++}if(this.close){q.setAttribute("close",this.close);p--}var o=q;if(p-r+1>1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}s.appendChild(o)}else{this.SUPER(arguments).toNativeMML.call(this,s)}}}});f.msubsup.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.sup]==null){r="msub"}if(this.data[this.sub]==null){r="msup"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});f.munderover.Augment({toNativeMML:function(s){var r=this.type;var t=this.data[this.base];if(t&&t.isa(f.TeXAtom)&&t.movablelimits&&!t.Get("displaystyle")){r="msubsup";if(this.data[this.under]==null){r="msup"}if(this.data[this.over]==null){r="msub"}}else{if(this.data[this.under]==null){r="mover"}if(this.data[this.over]==null){r="munder"}}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});if(!i){var m=c.SplitList;f.mtable.Augment({toNativeMML:function(z){var s,q;if(l.tableSpacingBug){var A=this.getValues("rowspacing","columnspacing");this.nMMLtopPadding=m("0px "+A.rowspacing);this.nMMLleftPadding=m("0px "+A.columnspacing);var y=this.nMMLtopPadding,v=y.length;for(s=0,q=this.data.length;s<q;s++){if(this.data[s]){this.data[s].nMMLtopPadding=y[s<v?s:v-1]}}}if(l.tableLabelBug){for(s=0,q=this.data.length;s<q;s++){if(this.data[s]&&this.data[s].isa(f.mlabeledtr)){var u=c.config.displayAlign.charAt(0),w=this.Get("side").charAt(0);this.nMMLhasLabels=true;this.nMMLlaMatch=(u===w);this.nMMLforceWidth=(u==="c"||!!((this.width||"").match("%")));break}}}if(this.width&&this.ffTableWidthBug){var B=(this.style||"").replace(/;\s*$/,"").split(";");if(B[0]===""){B.shift()}B.push("width:"+this.width);this.style=B.join(";")}this.SUPER(arguments).toNativeMML.call(this,z);if(this.nMMLhasLabels){var r=z.firstChild;if(this.nMMLforceWidth||w!=="r"){var p=(u!=="l"?1:0)+(w==="l"?1:0);if(p){var t={columnalign:"left",columnwidth:"auto",columnspacing:"0px",columnlines:"none"};for(var o in t){if(t.hasOwnProperty(o)&&this[o]){var x=[t[o],t[o]].slice(2-p).join(" ")+" ";r.setAttribute(o,x+r.getAttribute(o))}}}}if(this.nMMLforceWidth||!this.nMMLlaMatch){r.setAttribute("width","100%")}}}});f.mtr.Augment({toNativeMML:function(v){this.SUPER(arguments).toNativeMML.call(this,v);var p=v.lastChild;if(l.tableSpacingBug){var r=this.parent.nMMLleftPadding,t=r.length;for(var w=p.firstChild,q=0;w;w=w.nextSibling,q++){a(w,this.nMMLtopPadding,r[q<t?q:t-1])}}if(l.tableLabelBug){var o=this.parent.nMMLforceWidth,u=this.parent.Get("side").charAt(0),s=c.config.displayAlign.charAt(0);if(this.parent.nMMLhasLabels&&p.firstChild){if(o||u!=="r"){j("Left",p.firstChild);if(s!=="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}if(u==="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}}if(o||u!=="l"){j("Right",p.lastChild)}}}}});f.mlabeledtr.Augment({toNativeMML:function(C){var t=this.NativeMMLelement("mtr");this.NativeMMLattributes(t);for(var u=1,s=this.data.length;u<s;u++){if(this.data[u]){this.data[u].toNativeMML(t)}else{t.appendChild(this.NativeMMLelement("mtd"))}}if(l.tableSpacingBug){var v=this.parent.nMMLleftPadding,y=v.length;u=0;for(var D=t.firstChild;D;D=D.nextSibling,u++){a(D,this.nMMLtopPadding,v[u<y?u:y-1])}}if(l.tableLabelBug&&this.data[0]){var z=this.parent.Get("side").charAt(0),x=c.config.displayAlign.charAt(0),q=c.config.displayIndent;this.data[0].toNativeMML(t);var A=t.lastChild,r=A;if(z===x){A.setAttribute("style","width:"+q);A.setAttribute("columnalign",c.config.displayAlign)}else{r=this.NativeMMLelement("mpadded");r.setAttribute("style","width:0");r.setAttribute("width","0px");r.appendChild(A.firstChild);A.appendChild(r)}j("",A);t.removeChild(A);var o=100,p=this.parent.nMMLforceWidth;if((this.parent.width||"").match(/%/)){o-=parseFloat(this.parent.width)}var B=o;if(p||z!=="r"){j("Left",t.firstChild);if(x!=="l"){if(x==="c"){B/=2}o-=B;t.insertBefore(this.NativeMMLelement("mtd"),t.firstChild).setAttribute("style","padding:0;width:"+B+"%")}if(z==="l"){t.insertBefore(A,t.firstChild)}}if(p||z!=="l"){j("Right",t.lastChild);if(x!=="r"){t.appendChild(this.NativeMMLelement("mtd")).setAttribute("style","padding:0;width:"+o+"%")}if(z==="r"){if(z!==x){r.setAttribute("lspace","-1width")}t.appendChild(A)}}}C.appendChild(t)}});f.mtd.Augment({toNativeMML:function(r){var p=r.appendChild(this.NativeMMLelement(this.type));this.NativeMMLattributes(p);if(l.mtdWidthBug){l.adjustWidths.push(p);p=p.appendChild(this.NativeMMLelement("mrow"))}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}}});f.mspace.Augment({toNativeMML:function(q){this.SUPER(arguments).toNativeMML.call(this,q);if(l.spaceWidthBug&&this.width){var r=q.lastChild;var p=r.getAttribute("width");var o=(r.getAttribute("style")||"").replace(/;?\s*/,"; ");r.setAttribute("style",o+"width:"+p)}}});f.mn.Augment({NativeMMLremapMinus:function(o){return o.replace(/^-/,"\u2212")},toNativeMML:function(s){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);var r=this.NativeMMLremapMinus;for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p,r);r=null}}s.appendChild(p)}});var n=g.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");l.Augment({config:{styles:{'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+n+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Caligraphic-Bold.otf')"}}}});if(!this.handlesVariants){l.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},"@font-face /*3*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+n+"/MathJax_AMS-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Script-WEB",src:"url('"+n+"/MathJax_Script-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+n+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Fraktur-Bold.otf')"}}}})}}f.math.Augment({toNativeMML:function(y,p){var A=this.NativeMMLelement(this.type),w=A;var u=(p?MathJax.InputJax[p.inputJax].annotationEncoding:null);var v,r;l.adjustWidths=[];A.setAttribute("xmlns",l.MMLnamespace);this.NativeMMLattributes(A);if(l.widthBug){A=A.appendChild(this.NativeMMLelement("mrow"))}if(u){A=A.appendChild(this.NativeMMLelement("semantics"));A.appendChild(this.NativeMMLelement("mrow"));var s=A.appendChild(this.NativeMMLelement("annotation"));s.appendChild(document.createTextNode(p.originalText));s.setAttribute("encoding",u);A=A.firstChild}for(v=0,r=this.data.length;v<r;v++){if(this.data[v]){this.data[v].toNativeMML(A)}else{A.appendChild(this.NativeMMLelement("mrow"))}}var t=((this.data[0]||{data:[]}).data[0]||{});if(t.nMMLhasLabels){if(t.nMMLforceWidth||!t.nMMLlaMatch){A.setAttribute("style","width:100%");if(u){A.parentNode.setAttribute("style","width:100%")}}if(t.nMMLlaMatch){if(y.parentNode.parentNode.nodeName.toLowerCase()==="div"){y.parentNode.parentNode.style.setProperty("margin-"+c.config.displayAlign,"0px","important")}}}var x=l.isFullWidth(w);if(x){y.style.width=y.parentNode.style.width="100%"}y.appendChild(w);if(l.widthBug&&!x){y.style.width=(w.firstChild.scrollWidth/l.ex/l.scale).toFixed(3)+"ex";if(p){p.NativeMML.scrollWidth=w.firstChild.scrollWidth}}if(l.adjustWidths.length){var z=[];for(v=0,r=l.adjustWidths.length;v<r;v++){A=l.adjustWidths[v];var o=A.getAttribute("style")||"";if(!o.match(/(^|;)\s*min-width:/)){var q=A.firstChild.scrollWidth;z.push(q);q=(q/l.ex).toFixed(3)+"ex";o=o.replace(/;?\s*$/,"; ");A.setAttribute("style",o+"min-width:"+q)}}if(!p){p=c.getJaxFor(y)}if(p){p.NativeMML.mtds=z}w.MathJaxMtds=l.adjustWidths;l.adjustWidths=[]}}});f.mfenced.Augment({toNativeMML:function(w){if(!l.mfencedBug){this.SUPER(arguments).toNativeMML.call(this,w);return}var t=c.Browser.isOpera;var u,p,r;var q=this.getValues("open","close","separators");q.open=q.open.replace(/^\s+/,"").replace(/\s+$/,"");q.close=q.close.replace(/^\s+/,"").replace(/\s+$/,"");q.separators=q.separators.replace(/\s+/g,"").split("");if(q.separators.length==0){q.separators=null}else{if(q.separators.length<this.data.length-1){var v=q.separators[q.separators.length-1];for(u=this.data.length-1-q.separators.length;u>0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u<p;u++){if(q.separators&&u>0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(p,o){var q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p<o;p++){q.appendChild(this.data[p].cloneNode(true))}}});f.mi.Augment({toNativeMML:function(p){this.SUPER(arguments).toNativeMML.call(this,p);if(l.miItalicBug){if(this.Get("mathvariant")===f.VARIANT.NORMAL){var o=p.lastChild;o.setAttribute("mathvariant",f.VARIANT.NORMAL)}}}});f.mo.Augment({toNativeMML:function(t){this.SUPER(arguments).toNativeMML.call(this,t);if(l.webkitMoSpacingBug){var o=0,s=0,v=this.parent;if(v&&v.type==="mrow"&&(v.inferred||!v.isEmbellished())){var q=this.getValues("lspace","rspace");o=q.lspace,s=q.rspace;if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}if(l.NAMEDSPACE[s]){s=l.NAMEDSPACE[s]}}var u=t.lastChild;var r=e.Element("span");r.style.cssText=(u.getAttribute("style")||"");r.style.setProperty("-webkit-margin-start",o);r.style.setProperty("-webkit-margin-end",s);u.setAttribute("style",r.style.cssText)}}});f.mmultiscripts.Augment({toNativeMML:function(s){if(!l.mmultiscriptsBug||this.data.length===0){this.SUPER(arguments).toNativeMML.call(this,s);return}var q=this.NativeMMLelement("mrow");this.NativeMMLattributes(q);if(this.data[0]){this.data[0].toNativeMML(q)}else{q.appendChild(this.NativeMMLelement("mrow"))}var t=q.removeChild(q.lastChild);var p=this.data.length,r,o;for(r=1;r<p;r+=2){if(this.data[r].type==="mprescripts"){break}o=this.NativeMMLelement("msubsup");o.appendChild(t);if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}t=o}q.appendChild(t);for(r++;r<p;r+=2){o=this.NativeMMLelement("msubsup");o.appendChild(this.NativeMMLelement("mrow"));if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}q.insertBefore(o,t)}s.appendChild(q)}});c.Register.StartupHook("TeX mathchoice Ready",function(){f.TeXmathchoice.Augment({toNativeMML:function(o){this.Core().toNativeMML(o)}})});setTimeout(MathJax.Callback(["loadComplete",l,"jax.js"]),0)});c.Browser.Select({MSIE:function(m){var n=(document.documentMode||0);l.msieIE8HeightBug=(n===8)},Opera:function(m){l.stretchyMoBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miBug=true;l.mmultiscriptsBug=true},Firefox:function(m){var n=m.versionAtLeast("29.0");l.ffTableWidthBug=!m.versionAtLeast("13.0");l.forceReflow=!n;l.widthBug=!n;l.mtdWidthBug=true;l.handlesVariants=n;l.spaceWidthBug=!m.versionAtLeast("20.0");l.tableSpacingBug=!m.versionAtLeast("33.0");l.tableLabelBug=true;l.mfencedBug=true},Chrome:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Safari:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miItalicBug=true;l.webkitMoSpacingBug=true;l.spaceWidthBug=true;l.mmultiscriptsBug=true}});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
 (function(j,b,d){var i,k=b.Browser.isMobile;var h=MathJax.Object.isArray;var e=function(){var m=[].slice.call(arguments,0);m[0][0]=["HTML-CSS",m[0][0]];return MathJax.Message.Set.apply(MathJax.Message,m)};var f=MathJax.Object.Subclass({timeout:(k?15:8)*1000,comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],FedoraSTIXcheck:{family:"STIXSizeOneSym",testString:"abcABC",noStyleChar:true},Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",width:0,height:0,overflow:"hidden",padding:0,border:0,margin:0}},[["div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto","min-width":0,"max-width":"none",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]]]).firstChild;this.text=this.div.firstChild},findFont:function(r,o){var q=null;if(o&&this.testCollection(o)){q=o}else{for(var p=0,n=r.length;p<n;p++){if(r[p]===o){continue}if(this.testCollection(r[p])){q=r[p];break}}}if(q==="STIX"&&this.testFont(this.FedoraSTIXcheck)){q=null}return q},testCollection:function(n){var m={testString:"() {} []"};m.family={TeX:"MathJax_Size1",STIX:"STIXSizeOneSym"}[n]||n.replace(/-(Math)?/,"")+"MathJax_Size1";if(n==="STIX"){m.noStyleChar=true}return this.testFont(m)},testFont:function(p){if(p.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(p.weight||"normal");this.div.style.fontStyle=(p.style||"normal")}var r=p.familyFixed||p.family;if(!p.isWebFont&&!r.match(/^(STIX|MathJax)|'/)){r=r.replace(/_/g," ").replace(/([a-z])([A-Z])/g,"$1 $2").replace(/ Jax/,"Jax")+"','"+r+"','"+r+"-";if(p.weight){r+="Bold"}if(p.style){r+="Italic"}if(!p.weight&&!p.style){r+="Regular"}p.familyFixed=r="'"+r+"'"}var o=this.getComparisonWidths(p.testString,p.noStyleChar);var s=null;if(o){this.div.style.fontFamily=r+","+this.comparisonFont[0];if(this.div.offsetWidth==o[0]){this.div.style.fontFamily=r+","+this.comparisonFont[o[2]];if(this.div.offsetWidth==o[1]){s=false}}if(s===null&&(this.div.offsetWidth!=o[3]||this.div.offsetHeight!=o[4])){if(!p.noStyleChar&&d.FONTDATA&&d.FONTDATA.hasStyleChar){for(var q=0,n=this.testSize.length;q<n;q++){if(this.testStyleChar(p,this.testSize[q])){s=true;n=0}}}else{s=true}}}if(d.safariTextNodeBug){this.div.innerHTML=""}else{this.text.nodeValue=""}return s},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(p,r){var u=3+(p.weight?2:0)+(p.style?4:0);var o="",q=0;var t=this.div.style.fontSize;this.div.style.fontSize=r;if(d.msieItalicWidthBug&&p.style==="italic"){this.text.nodeValue=o=this.compChar;q=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+o}else{this.text.nodeValue=this.compChar+o}var m=this.div.offsetWidth-q;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+o}else{this.text.nodeValue=this.styleChar+o}var s=Math.floor((this.div.offsetWidth-q)/m+0.5);if(s===u){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+o}else{this.text.nodeValue=this.versionChar+o}p.version=Math.floor((this.div.offsetWidth-q)/m+1.5)/2}this.div.style.fontSize=t;return(s===u)},getComparisonWidths:function(r,p){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!p){r+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=r}else{this.text.nodeValue=r}this.div.style.fontFamily=this.comparisonFont[0];var o=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var t=this.div.offsetWidth,q=this.div.offsetHeight;for(var s=1,n=this.comparisonFont.length;s<n;s++){this.div.style.fontFamily=this.comparisonFont[s];if(this.div.offsetWidth!=o){return[o,this.div.offsetWidth,s,t,q]}}return null},loadWebFont:function(o){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+o.directory);var q=e(["LoadWebFont","Loading web-font %1",d.fontInUse+"/"+o.directory]);var m=MathJax.Callback({});var p=MathJax.Callback(["loadComplete",this,o,q,m]);j.timer.start(j,[this.checkWebFont,o,p],0,this.timeout);return m},loadComplete:function(p,r,o,m){MathJax.Message.Clear(r);if(m===j.STATUS.OK){this.webFontLoaded=true;o();return}this.loadError(p);if(b.Browser.isFirefox&&d.allowWebFonts){var q=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){q+=":"+document.location.port}q+="/";if(j.fileURL(d.webfontDir).substr(0,q.length)!==q){this.firefoxFontError(p)}}if(!this.webFontLoaded){d.loadWebFontError(p,o)}else{o()}},loadError:function(m){e(["CantLoadWebFont","Can't load web font %1",d.fontInUse+"/"+m.directory],null,2000);b.Startup.signal.Post("HTML-CSS Jax - web font error for "+d.fontInUse+"/"+m.directory)},firefoxFontError:function(m){e(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(m,n,o){if(m.time(o)){return}if(d.Font.testFont(n)){o(m.STATUS.OK)}else{setTimeout(m,m.delay)}},fontFace:function(q){var r=d.allowWebFonts;var t=d.FONTDATA.FONTS[q];if(d.msieFontCSSBug&&!t.family.match(/-Web$/)){t.family+="-Web"}if(t.isWebFont){delete t.familyFixed}var m=d.webfontDir+"/"+r;var p=j.fileURL(m);var o=q.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!o.match(/-/)){o+="-Regular"}if(r==="svg"){o+=".svg#"+o}else{o+="."+r}var n=j.fileRev(m+"/"+o.replace(/#.*/,""));var s={"font-family":t.family,src:"url('"+p+"/"+o+n+"')"};if(r==="otf"){o=o.replace(/otf$/,"woff");n=j.fileRev(m+"/"+o);s.src+=" format('opentype')";p=j.fileURL(d.webfontDir+"/woff");s.src="url('"+p+"/"+o+n+"') format('woff'), "+s.src}else{if(r!=="eot"){s.src+=" format('"+r+"')"}}if(!(d.FontFaceBug&&t.isWebFont)){if(q.match(/-bold/)){s["font-weight"]="bold"}if(q.match(/-italic/)){s["font-style"]="italic"}}return s}});var l,a,c;var g=MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<8;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax:focus, body :focus .MathJax":{display:"inline-table"},".MathJax_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax.MathJax_FullWidth":{"text-align":"center",display:(g?"block":"table-cell")+"!important",width:(g?"100%":"10000em")+"!important"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0!important",padding:"0!important",margin:"0!important","vertical-align":"0!important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none","box-sizing":"content-box"},".MathJax nobr":{"white-space":"nowrap!important"},".MathJax img":{display:"inline!important","float":"none!important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_test.mjx-test-display":{display:(g?"block":"table")+"!important"},".MathJax_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".MathJax_em_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60em"},".mjx-test-inline .MathJax_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_right_box":{display:(g?"block":"table-cell")+"!important",width:(g?"100%":"10000em")+"!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1000,fontName:{TeXLocal:"TeX",TeXWeb:["","TeX"],TeXImage:["",""],STIXLocal:["STIX","STIX-Web"],STIXWeb:"STIX-Web",AsanaMathWeb:"Asana-Math",GyrePagellaWeb:"Gyre-Pagella",GyreTermesWeb:"Gyre-Termes",LatinModernWeb:"Latin-Modern",NeoEulerWeb:"Neo-Euler"},fontInUse:"generic",FONTDATA:{TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{},"-largeOp":{},"-smallOp":{}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}},Config:function(){if(!this.require){this.require=[]}this.Font=f();this.SUPER(arguments).Config.call(this);var o=this.settings,n=this.config,m=o.font;if(this.adjustAvailableFonts){this.adjustAvailableFonts(n.availableFonts)}if(o.scale){n.scale=o.scale}if(m&&m!=="Auto"&&this.fontName[m]){n.availableFonts=[];delete n.fonts;if(h(this.fontName[m])){n.preferredFont=this.fontName[m][0];n.webFont=this.fontName[m][1]}else{n.preferredFont=n.webFont=this.fontName[m]}if(n.preferredFont){n.availableFonts[0]=n.preferredFont}}if(n.fonts){n.availableFonts=n.fonts;n.preferredFont=n.webFont=n.fonts[0];if(n.webFont==="STIX"){n.webFont+="-Web"}}m=this.Font.findFont(n.availableFonts,n.preferredFont);if(!m&&this.allowWebFonts){m=n.webFont;if(m){this.webFonts=true}}if(!m&&this.config.imageFont){m=n.imageFont;this.imgFonts=true}if(m){this.fontInUse=m;this.fontDir+="/"+m;this.webfontDir+="/"+m;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{e(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){l=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=l.ContextMenu;this.Mousedown=l.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var n=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(m){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.TestSpan=this.Element("span",{className:"MathJax_test"},[["span",{className:"MathJax_left_box"}],["span",{className:"MathJax_ex_box"}],["span",{className:"MathJax_em_box"}],["span",{className:"MathJax_right_box"}]]);return j.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(p){for(var o=0,n=p.length;o<n;o++){if(p[o]==="STIX"){p.splice(o,1);n--;o--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=p[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var o=0,n=d.config.preloadWebFonts.length;o<n;o++){var p=d.FONTDATA.FONTS[d.config.preloadWebFonts[o]];if(!p.available){d.Font.testFont(p)}}},InitializeHTML:function(){this.PreloadWebFonts();this.getDefaultExEm();if(this.defaultEm){return}var m=MathJax.Callback();j.timer.start(j,function(n){if(n.time(m)){b.signal.Post(["HTML-CSS Jax - no default em size"]);return}d.getDefaultExEm();if(d.defaultEm){m()}else{setTimeout(n,n.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return m},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var m=document.body.appendChild(this.TestSpan.cloneNode(true));m.className+=" mjx-test-inline mjx-test-default";this.defaultEx=m.childNodes[1].offsetHeight/60;this.defaultEm=m.childNodes[2].offsetHeight/60;this.defaultWidth=Math.max(0,m.lastChild.offsetLeft-m.firstChild.offsetLeft-2);document.body.removeChild(m)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,H,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_Display)?( MathJax_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.HTMLCSS={display:(p.root.Get("display")==="block")};C=u=this.Element("span",{className:"MathJax",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:l.Menu,onmousedown:l.Mousedown,onmouseover:l.Mouseover,onmouseout:l.Mouseout,onmousemove:l.Mousemove,onclick:l.Click,ondblclick:l.DblClick,onkeydown:l.Keydown,tabIndex:b.getTabOrder(p)});if(b.Browser.noContextMenu){C.ontouchstart=a.start;C.ontouchend=a.end}if(p.HTMLCSS.display){u=this.Element("div",{className:"MathJax_Display"});u.appendChild(C)}else{if(this.msieDisappearingBug){C.style.display="inline-block"}}u.className+=" MathJax_Processing";G.parentNode.insertBefore(u,G);p.HTMLCSS.span=C;p.HTMLCSS.div=u;E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.HTMLCSS.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;o=E.childNodes[2].offsetHeight/60;A=Math.max(0,p.HTMLCSS.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2);if(F===0||F==="NaN"){B.push(u);p.HTMLCSS.isHidden=true;F=this.defaultEx;o=this.defaultEm;A=this.defaultWidth}if(A===0&&!p.HTMLCSS.display){A=this.defaultWidth}if(t){v=A}H=(this.config.matchFontHeight?F/this.TeX.x_height/o:1);H=Math.floor(Math.max(this.config.minScaleAdjust/100,H)*this.config.scale);p.HTMLCSS.scale=H/100;p.HTMLCSS.fontSize=H+"%";p.HTMLCSS.em=p.HTMLCSS.outerEm=o;this.em=o*H/100;p.HTMLCSS.ex=F;p.HTMLCSS.cwidth=A/this.em;p.HTMLCSS.lineWidth=(q?this.length2em(x,1,v/this.em):1000000)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=r[D].MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.HTMLCSSeqn=s.HTMLCSSlast=0;s.HTMLCSSi=-1;s.HTMLCSSchunk=this.config.EqnChunk;s.HTMLCSSdelay=false},PHASE:{I:1,II:2,III:3},Translate:function(n,r){if(!n.parentNode){return}if(r.HTMLCSSdelay){r.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var m=n.MathJax.elementJax,q=m.root,s=m.HTMLCSS.div,o=m.HTMLCSS.span;if(!document.getElementById(o.id)){return}this.getMetrics(m);if(this.scale!==1){o.style.fontSize=m.HTMLCSS.fontSize}this.initImg(o);this.initHTML(q,o);this.savePreview(n);try{q.setTeXclass();q.toHTML(o,s,this.PHASE.I)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}this.restorePreview(n);throw p}this.restorePreview(n);s.className=s.className.split(/ /)[0]+" MathJax_Processed";b.signal.Post(["New Math Pending",m.inputID]);r.HTMLCSSeqn+=(r.i-r.HTMLCSSi);r.HTMLCSSi=r.i;if(r.HTMLCSSeqn>=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){var n=(v.MathJax.elementJax.HTMLCSS||{}).div;if(n){n.className=n.className.split(/ /)[0]}if(v.MathJax.preview){v.MathJax.preview.innerHTML=""}}}for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){p=v.MathJax.elementJax;this.getMetrics(p);if(p.HTMLCSS.span&&p.HTMLCSS.div){p.root.toHTML(p.HTMLCSS.span,p.HTMLCSS.div,this.PHASE.II)}}}for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){p=v.MathJax.elementJax;this.getMetrics(p);if(p.HTMLCSS.span&&p.HTMLCSS.div){p.root.toHTML(p.HTMLCSS.span,p.HTMLCSS.div,this.PHASE.III);if(p.HTMLCSS.isHidden){v.parentNode.insertBefore(p.HTMLCSS.div,v)}delete p.HTMLCSS.span;delete p.HTMLCSS.div;v.MathJax.state=p.STATE.PROCESSED;b.signal.Post(["New Math",v.MathJax.elementJax.inputID])}}}if(this.forceReflow){var t=(document.styleSheets||[])[0]||{};t.disabled=true;t.disabled=false}o.HTMLCSSlast=o.HTMLCSSeqn},getJaxFromMath:function(m){if(m.parentNode.className.match(/MathJax_Display/)){m=m.parentNode}do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return b.getJaxFor(m)},getHoverSpan:function(m,n){return m.root.HTMLspanElement()},getHoverBBox:function(m,p,q){var r=p.bbox,o=m.HTMLCSS.outerEm;var n={w:r.w*o,h:r.h*o,d:r.d*o};if(r.width){n.width=r.width}return n},Zoom:function(n,y,x,m,v){y.className="MathJax";y.style.fontSize=n.HTMLCSS.fontSize;var B=y.appendChild(this.TestSpan.cloneNode(true));var q=B.childNodes[2].offsetHeight/60;this.em=i.mbase.prototype.em=q;this.outerEm=q/n.HTMLCSS.scale;B.parentNode.removeChild(B);this.scale=n.HTMLCSS.scale;this.linebreakWidth=n.HTMLCSS.lineWidth;this.cwidth=n.HTMLCSS.cwidth;this.zoomScale=parseInt(b.config.menuSettings.zscale)/100;this.idPostfix="-zoom";n.root.toHTML(y,y);this.idPostfix="";this.zoomScale=1;var z=n.root.HTMLspanElement().bbox,p=z.width;if(p){if(z.tw){m=z.tw*q}if(z.w*q<m){m=z.w*q}y.style.width=Math.floor(m-1.5*d.em)+"px";y.style.display="inline-block";var o=(n.root.id||"MathJax-Span-"+n.root.spanID)+"-zoom";var r=document.getElementById(o).firstChild;while(r&&r.style.width!==p){r=r.nextSibling}if(r){var u=r.offsetWidth;r.style.width="100%";if(u>m){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s<p;s++){v=q[s];if(!v){continue}w=v.bbox;u=this.parentNode(v);if(w.exactW||w.width||w.w===0||w.isMultiline||(this.config.noReflows&&w.exactW!==false)){if(!u.bbox){u.bbox=w}continue}if(this.negativeBBoxes||!v.firstChild||(w.w>=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s<p;s++){v=t[s][0];w=v.bbox;u=this.parentNode(v);if((w.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s<p;s++){v=t[s];if(v[1]){v[1].parentNode.removeChild(v[1]),v[0].style.position=v[3]}if(v[2]){v[2].parentNode.removeChild(v[2])}}},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},EmRounded:function(n){if(Math.abs(n)<0.0006){return"0em"}n=(Math.round(n*d.em)+0.05)/d.em;return n.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(n){return parseFloat(n)},Px:function(n){n*=this.em;var o=(n<0?"-":"");return o+Math.abs(n).toFixed(1).replace(/\.?0+$/,"")+"px"},unPx:function(n){return parseFloat(n)/this.em},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(t,o,r){if(typeof(t)!=="string"){t=t.toString()}if(t===""){return""}if(t===i.SIZE.NORMAL){return 1}if(t===i.SIZE.BIG){return 2}if(t===i.SIZE.SMALL){return 0.71}if(t==="infinity"){return d.BIGDIMEN}var q=this.FONTDATA.TeX_factor,u=(d.zoomScale||1)/d.em;if(t.match(/mathspace$/)){return d.MATHSPACE[t]*q}var p=t.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1"),s=p[2];if(r==null){r=1}if(o==null){o=1}if(s==="em"){return n*q}if(s==="ex"){return n*d.TeX.x_height*q}if(s==="%"){return n/100*r}if(s==="px"){return n*u}if(s==="pt"){return n/10*q}if(s==="pc"){return n*1.2*q}if(s==="in"){return n*this.pxPerInch*u}if(s==="cm"){return n*this.pxPerInch*u/2.54}if(s==="mm"){return n*this.pxPerInch*u/25.4}if(s==="mu"){return n/18*q*o}return n*r},thickness2em:function(n,m){var o=d.TeX.rule_thickness;if(n===i.LINETHICKNESS.MEDIUM){return o}if(n===i.LINETHICKNESS.THIN){return 0.67*o}if(n===i.LINETHICKNESS.THICK){return 1.67*o}return this.length2em(n,m,o)},border2em:function(n,m){if(n===i.LINETHICKNESS.THIN){n="1px"}if(n===i.LINETHICKNESS.MEDIUM){n="3px"}if(n===i.LINETHICKNESS.THICK){n="5px"}return this.length2em(n,m)},getPadding:function(n){var p={top:0,right:0,bottom:0,left:0},m=false;for(var q in p){if(p.hasOwnProperty(q)){var o=n.style["padding"+q.charAt(0).toUpperCase()+q.substr(1)];if(o){p[q]=this.length2em(o);m=true}}}return(m?p:false)},getBorders:function(r){var o={top:0,right:0,bottom:0,left:0},p={},n=false;for(var s in o){if(o.hasOwnProperty(s)){var m="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r.style[m+"Style"];if(q){n=true;o[s]=this.border2em(r.style[m+"Width"]||i.LINETHICKNESS.MEDIUM);p[m]=[r.style[m+"Width"],r.style[m+"Style"],r.style[m+"Color"]].join(" ")}}}o.css=p;return(n?o:false)},setBorders:function(m,n){if(n){for(var o in n.css){if(n.css.hasOwnProperty(o)){m.style[o]=n.css[o]}}}},createStrut:function(o,n,p){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:n+"px",width:"1px",marginRight:"-1px"}});if(p){o.insertBefore(m,o.firstChild)}else{o.appendChild(m)}return m},createBlank:function(n,m,o){var p=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(m)}});if(m<0){p.style.marginRight=p.style.width;p.style.width=0}if(o){n.insertBefore(p,n.firstChild)}else{n.appendChild(p)}return p},createShift:function(n,m,p){var o=this.Element("span",{style:{marginLeft:this.Em(m)},isMathJax:true});if(p){n.insertBefore(o,n.firstChild)}else{n.appendChild(o)}return o},createSpace:function(r,p,q,s,o,u){if(p<-q){q=-p}var t=this.Em(p+q),m=this.Em(-q);if(this.msieInlineBlockAlignBug){m=this.Em(d.getHD(r.parentNode,true).d-q)}if(r.isBox||u){var n=(r.scale==null?1:r.scale);r.bbox={exactW:true,h:p*n,d:q*n,w:s*n,rw:s*n,lw:0};r.style.height=t;r.style.verticalAlign=m;r.HH=(p+q)*n}else{r=this.addElement(r,"span",{style:{height:t,verticalAlign:m},isMathJax:true})}if(s>=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em<o){u=o/this.em}if(p+r>0&&(p+r)*this.em<o){q=1/(p+r)*(o/this.em);p*=q;r*=q}if(!n){n="solid"}else{n="solid "+n}var m={display:"inline-block",overflow:"hidden",verticalAlign:this.Em(-r)};if(u>p+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(x<r){x=r}if(s+u<r){s=r-u}}if(this.msieBorderWidthBug){r=0}var y=this.Em(s+u-r),m=this.Em(-u-z),q=this.Em(x-r);var o=this.Px(z)+" "+n;var p=this.addElement(v,"span",{style:{border:o,display:"inline-block",overflow:"hidden",width:q,height:y},bbox:{h:s,d:u,w:x,rw:x,lw:0,exactW:true},noAdjust:true,HH:s+u,isMathJax:true});if(m){p.style.verticalAlign=m}return p},parentNode:function(n){var m=n.parentNode;if(m.nodeName.toLowerCase()==="a"){m=m.parentNode}return m},createStack:function(o,q,n){if(this.msiePaddingWidthBug){this.createStrut(o,0)}var p=String(n).match(/%$/);var m=(!p&&n!=null?n:0);o=this.addElement(o,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(p?"100%":this.Em(m)),height:0}});if(!q){o.parentNode.bbox=o.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:m,lw:this.BIGDIMEN,rw:(!p&&n!=null?n:-this.BIGDIMEN)};if(p){o.bbox.width=n}}return o},createBox:function(n,m){var o=this.addElement(n,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(m!=null){o.style.width=m}return o},addBox:function(m,n){n.style.position="absolute";n.isBox=n.isMathJax=true;return m.appendChild(n)},placeBox:function(w,v,u,q){w.isMathJax=true;var z=d.parentNode(w),F=w.bbox,B=z.bbox;if(this.msiePlaceBoxBug){this.addText(w,this.NBSP)}if(this.imgSpaceBug){this.addText(w,this.imgSpace)}var A,I=0;if(w.HH!=null){A=w.HH}else{if(F){var o=w.firstChild;A=Math.max(3,3*(o?o.scale||1:1),F.h+F.d)}else{A=w.offsetHeight/this.em}}if(!w.noAdjust){A+=1;A=Math.round(A*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(w,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(A)}})}else{this.addElement(w,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(A)}});if(d.chromeHeightBug){A-=(w.lastChild.offsetHeight-Math.round(A*this.em))/this.em}}}if(F){if(this.initialSkipBug){if(F.lw<0){I=F.lw;d.createBlank(w,-I,true)}if(F.rw>F.w){d.createBlank(w,F.rw-F.w+0.1)}}if(!this.msieClipRectBug&&!F.noclip&&!q){var E=3/this.em;var C=(F.H==null?F.h:F.H),n=(F.D==null?F.d:F.D);var G=A-C-E,s=A+n+E,p=-1000,m=F.rw+1000;w.style.clip="rect("+this.Em(G)+" "+this.Em(m)+" "+this.Em(s)+" "+this.Em(p)+")"}}w.style.top=this.Em(-u-A);w.style.left=this.Em(v+I);if(F&&B){if(F.H!=null&&(B.H==null||F.H+u>B.H)){B.H=F.H+u}if(F.D!=null&&(B.D==null||F.D-u>B.D)){B.D=F.D-u}if(F.h+u>B.h){B.h=F.h+u}if(F.d-u>B.d){B.d=F.d-u}if(B.H!=null&&B.H<=B.h){delete B.H}if(B.D!=null&&B.D<=B.d){delete B.D}if(F.w+v>B.w){B.w=F.w+v;if(B.width==null){z.style.width=this.Em(B.w)}}if(F.rw+v>B.rw){B.rw=F.rw+v}if(F.lw+v<B.lw){B.lw=F.lw+v}if(F.width!=null&&!F.isFixed){if(B.width==null){z.style.width=B.width="100%";if(F.minWidth){z.style.minWidth=B.minWidth=F.minWidth}}w.style.width=F.width}if(F.tw){B.tw=F.tw}}},alignBox:function(t,p,s,x,w){if(x==null){x=0}this.placeBox(t,x,s);if(this.msiePlaceBoxBug){var n=t.lastChild;while(n&&n.nodeName!=="#text"){n=n.previousSibling}if(n){t.removeChild(n)}}var v=t.bbox;if(v.isMultiline&&!w){return}var u=v.width!=null&&!v.isFixed;var m=0,q=x-v.w/2,o="50%";if(this.initialSkipBug){m=v.w-v.rw-0.1;q+=v.lw}if(this.msieMarginScaleBug){q=(q*this.em)+"px"}else{q=this.Em(q)}if(u){q=(x===0?"":this.Em(x));o=(50-parseFloat(v.width)/2)+"%"}b.Insert(t.style,({right:{left:"",right:this.Em(m-x)},center:{left:o,marginLeft:q}})[p])},setStackWidth:function(n,m){if(typeof(m)==="number"){n.style.width=this.Em(Math.max(0,m));var o=n.bbox;if(o){o.w=m;o.exactW=true}o=n.parentNode.bbox;if(o){o.w=m;o.exactW=true}}else{n.style.width=n.parentNode.style.width="100%";if(n.bbox){n.bbox.width=m}if(n.parentNode.bbox){n.parentNode.bbox.width=m}}},createDelimiter:function(w,n,p,s,q){if(!n){w.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};w.bbox.rw=w.bbox.w;this.createSpace(w,w.bbox.h,w.bbox.d,w.bbox.w);return}if(!s){s=1}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){b.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var u=0,r=o.HW.length;u<r;u++){if(o.HW[u][0]*s>=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&u<C*F.min){u=C*F.min}if(u>C){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&p<v*F.min){p=v*F.min}if(p>v){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}u-=D.bbox.lw;this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s<o;s++){v+=String.fromCharCode(r[0][s])}}else{v=String.fromCharCode(r[0])}if(r[4]){p*=r[4]}if(p!==1||r[3]){t=this.addElement(u,"span",{style:{fontSize:this.Percent(p)},scale:p,isMathJax:true});this.handleVariant(t,q,v);u.bbox=t.bbox}else{this.handleVariant(u,q,v)}if(r[2]){u.style.marginLeft=this.Em(r[2])}if(r[3]){u.firstChild.style.verticalAlign=this.Em(r[3]);u.bbox.h+=r[3];if(u.bbox.h<0){u.bbox.h=0}}if(r[5]){u.bbox.h+=r[5]}if(r[6]){u.bbox.d+=r[6]}if(this.AccentBug&&u.bbox.w===0){t.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(n,m){m-=n.bbox.h;n.bbox.d-=m;n.bbox.h+=m;if(m){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&n.isMultiChar)){if(n.firstChild.style.display===""&&n.style.top!==""){n=n.firstChild;m-=d.unEm(n.style.top)}n.style.position="relative";n.style.top=this.Em(-m)}else{n.style.verticalAlign=this.Em(m);if(d.ffVerticalAlignBug){d.createRule(n.parentNode,n.bbox.h,0,0);delete n.parentNode.bbox}}}},handleVariant:function(B,q,t){var A="",y,D,u,E,o=B,p=!!B.style.fontFamily;if(t.length===0){return}if(!B.bbox){B.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!q){q=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}E=q;for(var C=0,z=t.length;C<z;C++){q=E;y=t.charCodeAt(C);D=t.charAt(C);if(y>=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v<s;v++){if(w[v].name==="alpha"&&q.noLowerCase){continue}var r=q["offset"+w[v].offset];if(r&&y>=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{if(w[v].remapOnly){break}y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000<B.bbox.lw){B.bbox.lw=B.bbox.w+D[3]/1000}if(B.bbox.w+D[4]/1000>B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(d.isChar(t)&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(((m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)||(this.FontFaceBug&&n.fontFamily!=="")))},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||(!this.msieAccentBug&&!this.combiningCharBug)||s.length){return s+r.c}if(this.combiningCharBug){d.addElement(o,"span",{style:{marginLeft:d.Em(u[3]/1000)}},[r.c]);return""}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]]);t[s[q]].name=s[q]}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){if(p[u].length===5){p[u][5]={}}if(d.allowWebFonts&&!p.available){this.loadWebFont(p)}else{return p}}else{this.findBlock(p,u)}}return this.unknownChar(r,u)},unknownChar:function(m,p){var o=(m.defaultFont||{family:d.config.undefinedFamily});if(m.bold){o.weight="bold"}if(m.italic){o.style="italic"}if(!o[p]){o[p]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",p,m]);return o},isChar:function(m){if(m.length===1){return true}if(m.length!==2){return false}var o=m.charCodeAt(0);return(o>=55296&&o<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);j.Require(this.directory+"/imageFonts.js",m)}else{this.allowWebFonts=false;m()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.type!="mrow"){q=this.HTMLhandleSize(q)}for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q)}}var u=this.HTMLcomputeBBox(q);var p=q.bbox.h,t=q.bbox.d,r=false,s;for(o=0,n=u.length;o<n;o++){s=u[o].HTMLspanElement().bbox;if(u[o].forceStretch||s.h!==p||s.d!==t){u[o].HTMLstretchV(q,p,t);r=true}else{if(u[o].needsBBox){r=true}}}if(r){this.HTMLcomputeBBox(q,true)}if(this.HTMLlineBreaks(q)){q=this.HTMLmultiline(q)}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);if(this.data.length===1&&this.data[0]){s=this.data[0].HTMLspanElement().bbox;if(s.skew){q.bbox.skew=s.skew}}return q},HTMLlineBreaks:function(){return false},HTMLmultiline:function(){i.mbase.HTMLautoloadFile("multiline")},HTMLcomputeBBox:function(s,r,q,n){if(q==null){q=0}if(n==null){n=this.data.length}var p=s.bbox={exactW:true},t=[];while(q<n){var o=this.data[q];if(!o){continue}if(!r&&o.HTMLcanStretch("Vertical")){t.push(o);o=(o.CoreMO()||o);t[t.length-1].needsBBox=(o!==this.data[q])}this.HTMLcombineBBoxes(o,p);q++}this.HTMLcleanBBox(p);return t},HTMLcombineBBoxes:function(m,n){if(n.w==null){this.HTMLemptyBBox(n)}var p=(m.bbox?m:m.HTMLspanElement());if(!p||!p.bbox){return}var o=p.bbox;if(o.d>n.d){n.d=o.d}if(o.h>n.h){n.h=o.h}if(o.D!=null&&o.D>n.D){n.D=o.D}if(o.H!=null&&o.H>n.H){n.H=o.H}if(p.style.paddingLeft){n.w+=d.unEm(p.style.paddingLeft)*(p.scale||1)}if(n.w+o.lw<n.lw){n.lw=n.w+o.lw}if(n.w+o.rw>n.rw){n.rw=n.w+o.rw}n.w+=o.w;if(p.style.paddingRight){n.w+=d.unEm(p.style.paddingRight)*(p.scale||1)}if(o.width){n.width=o.width;n.minWidth=o.minWidth}if(o.tw){n.tw=o.tw}if(o.ic){n.ic=o.ic}else{delete n.ic}if(n.exactW&&!o.exactW){n.exactW=o.exactW}},HTMLemptyBBox:function(m){m.h=m.d=m.H=m.D=m.rw=-d.BIGDIMEN;m.w=0;m.lw=d.BIGDIMEN;return m},HTMLcleanBBox:function(m){if(m.h===this.BIGDIMEN){m.h=m.d=m.H=m.D=m.w=m.rw=m.lw=0}if(m.D<=m.d){delete m.D}if(m.H<=m.h){delete m.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(n){if(this.isEmbellished()){var m=this.Core();if(m&&m!==this){return m.HTMLcanStretch(n)}}return false},HTMLstretchH:function(n,m){return this.HTMLspanElement()},HTMLstretchV:function(n,m,o){return this.HTMLspanElement()},HTMLnotEmpty:function(m){while(m){if((m.type!=="mrow"&&m.type!=="texatom")||m.data.length>1){return true}m=m.data[0]}return false},HTMLmeasureChild:function(o,m){if(this.data[o]){d.Measured(this.data[o].toHTML(m),m)}else{m.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(o,m){if(!this.data[o]){this.SetData(o,i.mrow())}return this.data[o].toHTML(m)},HTMLcreateSpan:function(m){if(this.spanID){var n=this.HTMLspanElement();if(n&&(n.parentNode===m||(n.parentNode||{}).parentNode===m)){while(n.firstChild){n.removeChild(n.firstChild)}n.bbox=this.HTMLzeroBBox();n.scale=1;n.isMultChar=n.HH=null;n.style.cssText="";return n}}if(this.href){m=d.addElement(m,"a",{href:this.href,isMathJax:true})}m=d.addElement(m,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){m.style.display="inline-block"}if(this["class"]){m.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}m.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;m.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){m.style.cssText=this.style;if(m.style.fontSize){this.mathsize=m.style.fontSize;m.style.fontSize=""}this.styles={border:d.getBorders(m),padding:d.getPadding(m)};if(this.styles.border){m.style.border=""}if(this.styles.padding){m.style.padding=""}}if(this.href){m.parentNode.bbox=m.bbox}this.HTMLaddAttributes(m);return m},HTMLaddAttributes:function(p){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=b.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var o=0,n=u.length;o<n;o++){var s=u[o];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(p[s])==="undefined")){p.setAttribute(s,this.attr[s])}}}},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+d.idPostfix)},HTMLhandleVariant:function(n,m,o){d.handleVariant(n,m,o)},HTMLhandleSize:function(m){if(!m.scale){m.scale=this.HTMLgetScale();if(m.scale!==1){m.style.fontSize=d.Percent(m.scale)}}return m},HTMLhandleDir:function(n){var m=this.Get("dir",true);if(m){n.dir=m}return n},HTMLhandleColor:function(y){var A=this.getValues("mathcolor","color");if(this.mathbackground){A.mathbackground=this.mathbackground}if(this.background){A.background=this.background}if(this.style&&y.style.backgroundColor){A.mathbackground=y.style.backgroundColor;y.style.backgroundColor="transparent"}var v=(this.styles||{}).border,x=(this.styles||{}).padding;if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.background&&!this.mathbackground){A.mathbackground=A.background}if(A.mathcolor){y.style.color=A.mathcolor}if((A.mathbackground&&A.mathbackground!==i.COLOR.TRANSPARENT)||v||x){var C=y.bbox,B=(C.exact?0:1/d.em),w=0,u=0,o=y.style.paddingLeft,s=y.style.paddingRight;if(this.isToken){w=C.lw;u=C.rw-C.w}if(o!==""){w+=d.unEm(o)*(y.scale||1)}if(s!==""){u-=d.unEm(s)*(y.scale||1)}var n=(d.PaddingWidthBug||C.keepPadding||C.exactW?0:u-w);var q=Math.max(0,d.getW(y)+n);var z=C.h+C.d,m=-C.d,t=0,r=0;if(q>0){q+=2*B;w-=B}if(z>0){z+=2*B;m-=B}u=-q-w;if(v){u-=v.right;m-=v.bottom;t+=v.left;r+=v.right;C.h+=v.top;C.d+=v.bottom;C.w+=v.left+v.right;C.lw-=v.left;C.rw+=v.right}if(x){z+=x.top+x.bottom;q+=x.left+x.right;u-=x.right;m-=x.bottom;t+=x.left;r+=x.right;C.h+=x.top;C.d+=x.bottom;C.w+=x.left+x.right;C.lw-=x.left;C.rw+=x.right}if(r){y.style.paddingRight=d.Em(r)}var p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var m=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(m){m.parentNode.removeChild(m)}},HTMLhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var o=this.getValues("scriptlevel","lspace","rspace");if(o.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var n=this.HTMLgetMu(q);o.lspace=Math.max(0,d.length2em(o.lspace,n));o.rspace=Math.max(0,d.length2em(o.rspace,n));var m=this,p=this.Parent();while(p&&p.isEmbellished()&&p.Core()===m){m=p;p=p.Parent();q=m.HTMLspanElement()}if(o.lspace){q.style.paddingLeft=d.Em(o.lspace)}if(o.rspace){q.style.paddingRight=d.Em(o.rspace)}}}else{var r=this.texSpacing();if(r!==""){this.HTMLgetScale();r=d.length2em(r,this.scale)/(q.scale||1)*this.mscale;if(q.style.paddingLeft){r+=d.unEm(q.style.paddingLeft)}q.style.paddingLeft=d.Em(r)}}},HTMLgetScale:function(){if(this.scale){return this.scale*this.mscale}var o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o<m.scriptminsize){o=m.scriptminsize}}this.scale=o;this.mscale=d.length2em(m.mathsize);return o*this.mscale},HTMLgetMu:function(o){var m=1,n=this.getValues("scriptlevel","scriptsizemultiplier");if(o.scale&&o.scale!==1){m=1/o.scale}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n in d.FONTDATA.VARIANT)){n="normal"}return d.FONTDATA.VARIANT[n]},HTMLdrawBBox:function(m){var o=m.bbox;var n=d.Element("span",{style:{"font-size":m.style.fontSize,display:"inline-block",opacity:0.25,"margin-left":d.Em(-o.w)}},[["span",{style:{height:d.Em(o.h),width:d.Em(o.w),"background-color":"red",display:"inline-block"}}],["span",{style:{height:d.Em(o.d),width:d.Em(o.w),"margin-left":d.Em(-o.w),"vertical-align":d.Em(-o.d),"background-color":"green",display:"inline-block"}}]]);if(m.nextSibling){m.parentNode.insertBefore(n,m.nextSibling)}else{m.parentNode.appendChild(n)}}},{HTMLautoload:function(){this.constructor.Augment({toHTML:i.mbase.HTMLautoloadFail});var m=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(j.Require(m))},HTMLautoloadFail:function(){throw Error("HTML-CSS can't autoload '"+this.type+"'")},HTMLautoloadList:{},HTMLautoloadFile:function(m){if(i.mbase.HTMLautoloadList.hasOwnProperty(m)){throw Error("HTML-CSS can't autoload file '"+m+"'")}i.mbase.HTMLautoloadList[m]=true;var n=d.autoloadDir+"/"+m+".js";b.RestartAfter(j.Require(n))},HTMLstretchH:function(n,m){this.HTMLremoveColor();return this.toHTML(n,m)},HTMLstretchV:function(n,m,o){this.HTMLremoveColor();return this.toHTML(n,m,o)}});i.chars.Augment({toHTML:function(p,o,n,q){var t=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}p.bbox=null;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.entity.Augment({toHTML:function(p,o,n,q){var t=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}delete p.bbox;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.mi.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));q.bbox=null;var p=this.HTMLgetVariant();for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q,p)}}if(!q.bbox){q.bbox=this.HTMLzeroBBox()}var s=this.data.join(""),r=q.bbox;if(r.skew&&!d.isChar(s)){delete r.skew}if(r.rw>r.w&&d.isChar(s)&&!p.noIC){r.ic=r.rw-r.w;d.createBlank(q,r.ic/this.mscale);r.w=r.rw}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.mn.Augment({HTMLremapMinus:function(m){return m.replace(/^-/,"\u2212")},toHTML:function(r){r=this.HTMLhandleSize(this.HTMLcreateSpan(r));r.bbox=null;var q=this.HTMLgetVariant();var p=this.HTMLremapMinus;for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(r,q,p);p=null}}if(!r.bbox){r.bbox=this.HTMLzeroBBox()}if(!d.isChar(this.data.join(""))){delete r.bbox.skew}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);this.HTMLhandleDir(r);return r}});i.mo.Augment({toHTML:function(x){x=this.HTMLhandleSize(this.HTMLcreateSpan(x));if(this.data.length==0){return x}else{x.bbox=null}var A=this.data.join("");var s=this.HTMLgetVariant();var z=this.getValues("largeop","displaystyle");if(z.largeop){s=d.FONTDATA.VARIANT[z.displaystyle?"-largeOp":"-smallOp"]}var y=this.CoreParent(),r=(y&&y.isa(i.msubsup)&&this!==y.data[y.base]),o=(r?this.remapChars:null);if(d.isChar(A)&&y&&y.isa(i.munderover)&&d.isChar(this.CoreText(y.data[y.base]))){var u=y.data[y.over],w=y.data[y.under];if(u&&this===u.CoreMO()&&y.Get("accent")){o=d.FONTDATA.REMAPACCENT}else{if(w&&this===w.CoreMO()&&y.Get("accentunder")){o=d.FONTDATA.REMAPACCENTUNDER}}}if(r&&A.match(/['`"\u00B4\u2032-\u2037\u2057]/)){s=d.FONTDATA.VARIANT["-"+d.fontInUse+"-variant"]}for(var t=0,q=this.data.length;t<q;t++){if(this.data[t]){this.data[t].toHTML(x,s,this.remap,o)}}if(!x.bbox){x.bbox=this.HTMLzeroBBox()}if(!d.isChar(A)){delete x.bbox.skew}if(d.AccentBug&&x.bbox.w===0&&d.isChar(A)&&x.firstChild){x.firstChild.nodeValue+=d.NBSP;d.createSpace(x,0,0,-x.offsetWidth/d.em)}if(z.largeop){var v=d.TeX.axis_height*this.scale*this.mscale;var n=(x.bbox.h-x.bbox.d)/2-v;if(d.safariVerticalAlignBug&&x.lastChild.nodeName==="IMG"){x.lastChild.style.verticalAlign=d.Em(d.unEm(x.lastChild.style.verticalAlign||0)/d.em-n/x.scale)}else{if(d.konquerorVerticalAlignBug&&x.lastChild.nodeName==="IMG"){x.style.position="relative";x.lastChild.style.position="relative";x.lastChild.style.top=d.Em(n/x.scale)}else{x.style.verticalAlign=d.Em(-n/x.scale)}}x.bbox.h-=n;x.bbox.d+=n;if(x.bbox.rw>x.bbox.w){x.bbox.ic=x.bbox.rw-x.bbox.w;d.createBlank(x,x.bbox.ic/this.mscale);x.bbox.w=x.bbox.rw}}this.HTMLhandleSpace(x);this.HTMLhandleColor(x);this.HTMLhandleDir(x);return x},HTMLcanStretch:function(q){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&d.isChar(this.CoreText(o.data[o.base]))){var p=o.data[o.over],n=o.data[o.under];if(p&&this===p.CoreMO()&&o.Get("accent")){r=d.FONTDATA.REMAPACCENT[r]||r}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=d.FONTDATA.REMAPACCENTUNDER[r]||r}}}r=d.FONTDATA.DELIMITERS[r.charCodeAt(0)];var m=(r&&r.dir===q.substr(0,1));this.forceStretch=(m&&(this.Get("minsize",true)||this.Get("maxsize",true)));return m},HTMLstretchV:function(o,p,q){this.HTMLremoveColor();var t=this.getValues("symmetric","maxsize","minsize");var r=this.HTMLspanElement(),u=this.HTMLgetMu(r),s;var n=this.HTMLgetScale(),m=d.TeX.axis_height*n;if(t.symmetric){s=2*Math.max(p-m,q+m)}else{s=p+q}t.maxsize=d.length2em(t.maxsize,u,r.bbox.h+r.bbox.d);t.minsize=d.length2em(t.minsize,u,r.bbox.h+r.bbox.d);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!=t.minsize){s=[Math.max(s*d.TeX.delimiterfactor/1000,s-d.TeX.delimitershortfall),s]}r=this.HTMLcreateSpan(o);d.createDelimiter(r,this.data.join("").charCodeAt(0),s,n);if(t.symmetric){s=(r.bbox.h+r.bbox.d)/2+m}else{s=(r.bbox.h+r.bbox.d)*p/(p+q)}d.positionDelimiter(r,s);this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLstretchH:function(q,m){this.HTMLremoveColor();var o=this.getValues("maxsize","minsize","mathvariant","fontweight");if((o.fontweight==="bold"||parseInt(o.fontweight)>=600)&&!this.Get("mathvariant",true)){o.mathvariant=i.VARIANT.BOLD}var p=this.HTMLspanElement(),n=this.HTMLgetMu(p),r=p.scale;o.maxsize=d.length2em(o.maxsize,n,p.bbox.w);o.minsize=d.length2em(o.minsize,n,p.bbox.w);m=Math.max(o.minsize,Math.min(o.maxsize,m));p=this.HTMLcreateSpan(q);d.createDelimiter(p,this.data.join("").charCodeAt(0),m,r,o.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});i.mtext.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));var p=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){var r=this.Get("mathvariant");if(r==="monospace"){q.className+=" MJX-monospace"}else{if(r.match(/sans-serif/)){q.className+=" MJX-sans-serif"}}p={bold:p.bold,italic:p.italic,fontInherit:true}}for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q,p)}}if(!q.bbox){q.bbox=this.HTMLzeroBBox()}if(!d.isChar(this.data.join(""))){delete q.bbox.skew}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.merror.Augment({toHTML:function(n){var p=MathJax.HTML.addElement(n,"span",{style:{display:"inline-block"}});n=this.SUPER(arguments).toHTML.call(this,p);var o=d.getHD(p),m=d.getW(p);p.bbox={h:o.h,d:o.d,w:m,lw:0,rw:m,exactW:true};p.id=n.id;n.id=null;return p}});i.ms.Augment({toHTML:i.mbase.HTMLautoload});i.mglyph.Augment({toHTML:i.mbase.HTMLautoload});i.mspace.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);var o=this.getValues("height","depth","width");var n=this.HTMLgetMu(q);this.HTMLgetScale();o.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){o.mathbackground=this.background}var p=d.length2em(o.height,n)*this.mscale,r=d.length2em(o.depth,n)*this.mscale,m=d.length2em(o.width,n)*this.mscale;d.createSpace(q,p,r,m,o.mathbackground,true);return q}});i.mphantom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){var r=this.data[0].toHTML(q);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(q,o,s),q)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(q,o),q)}else{r=d.Measured(r,q)}}q.bbox={w:r.bbox.w,h:r.bbox.h,d:r.bbox.d,lw:0,rw:0,exactW:true};for(var p=0,n=q.childNodes.length;p<n;p++){q.childNodes[p].style.visibility="hidden"}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mpadded.Augment({toHTML:function(u,o,m){u=this.HTMLcreateSpan(u);if(this.data[0]!=null){var s=d.createStack(u,true);var p=d.createBox(s);var n=this.data[0].toHTML(p);if(m!=null){d.Remeasured(this.data[0].HTMLstretchV(p,o,m),p)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(p,o),p)}else{d.Measured(n,p)}}var v=this.getValues("height","depth","width","lspace","voffset"),t=0,r=0,w=this.HTMLgetMu(u);this.HTMLgetScale();if(v.lspace){t=this.HTMLlength2em(p,v.lspace,w)}if(v.voffset){r=this.HTMLlength2em(p,v.voffset,w)}d.placeBox(p,t,r);t/=this.mscale;r/=this.mscale;u.bbox={h:p.bbox.h,d:p.bbox.d,w:p.bbox.w,exactW:true,lw:p.bbox.lw+t,rw:p.bbox.rw+t,H:Math.max((p.bbox.H==null?-d.BIGDIMEN:p.bbox.H+r),p.bbox.h+r),D:Math.max((p.bbox.D==null?-d.BIGDIMEN:p.bbox.D-r),p.bbox.d-r)};if(v.height!==""){u.bbox.h=this.HTMLlength2em(p,v.height,w,"h",0)}if(v.depth!==""){u.bbox.d=this.HTMLlength2em(p,v.depth,w,"d",0)}if(v.width!==""){u.bbox.w=this.HTMLlength2em(p,v.width,w,"w",0)}if(u.bbox.H<=u.bbox.h){delete u.bbox.H}if(u.bbox.D<=u.bbox.d){delete u.bbox.D}var q=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;u.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||q.exec(v.height)||q.exec(v.width)||q.exec(v.depth));d.setStackWidth(s,u.bbox.w)}this.HTMLhandleSpace(u);this.HTMLhandleColor(u);return u},HTMLlength2em:function(s,t,o,u,n){if(n==null){n=-d.BIGDIMEN}var q=String(t).match(/width|height|depth/);var r=(q?s.bbox[q[0].charAt(0)]:(u?s.bbox[u]:0));var p=d.length2em(t,o,r/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,s.bbox[u]+p)}else{return p}},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mrow.Augment({HTMLlineBreaks:function(m){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&m.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(o,m){this.HTMLremoveColor();var n=this.HTMLspanElement();this.data[this.core].HTMLstretchH(n,m);this.HTMLcomputeBBox(n,true);this.HTMLhandleColor(n);return n},HTMLstretchV:function(o,n,p){this.HTMLremoveColor();var m=this.HTMLspanElement();this.data[this.core].HTMLstretchV(m,n,p);this.HTMLcomputeBBox(m,true);this.HTMLhandleColor(m);return m}});i.mstyle.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mfrac.Augment({toHTML:function(F){F=this.HTMLcreateSpan(F);var o=d.createStack(F);var w=d.createBox(o),s=d.createBox(o);d.MeasureSpans([this.HTMLboxChild(0,w),this.HTMLboxChild(1,s)]);var m=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var K=this.HTMLgetScale(),E=m.displaystyle;var J=d.TeX.axis_height*K;if(m.bevelled){var I=(E?0.4:0.15);var x=Math.max(w.bbox.h+w.bbox.d,s.bbox.h+s.bbox.d)+2*I;var G=d.createBox(o);d.createDelimiter(G,47,x);d.placeBox(w,0,(w.bbox.d-w.bbox.h)/2+J+I);d.placeBox(G,w.bbox.w-I/2,(G.bbox.d-G.bbox.h)/2+J);d.placeBox(s,w.bbox.w+G.bbox.w-I,(s.bbox.d-s.bbox.h)/2+J-I)}else{var n=Math.max(w.bbox.w,s.bbox.w);var A=d.thickness2em(m.linethickness,this.scale)*this.mscale,C,B,z,y;var D=d.TeX.min_rule_thickness/this.em;if(E){z=d.TeX.num1;y=d.TeX.denom1}else{z=(A===0?d.TeX.num3:d.TeX.num2);y=d.TeX.denom2}z*=K;y*=K;if(A===0){C=Math.max((E?7:3)*d.TeX.rule_thickness,2*D);B=(z-w.bbox.d)-(s.bbox.h-y);if(B<C){z+=(C-B)/2;y+=(C-B)/2}}else{C=Math.max((E?2:0)*D+A,A/2+1.5*D);B=(z-w.bbox.d)-(J+A/2);if(B<C){z+=C-B}B=(J-A/2)-(s.bbox.h-y);if(B<C){y+=C-B}var r=d.createBox(o);d.createRule(r,A,0,n+2*A);d.placeBox(r,0,J-A/2)}d.alignBox(w,m.numalign,z,0,true);d.alignBox(s,m.denomalign,-y,0,true)}this.HTMLhandleSpace(F);this.HTMLhandleColor(F);return F},HTMLcanStretch:function(m){return false},HTMLhandleSpace:function(n){if(!this.texWithDelims){var o=d.TeX.nulldelimiterspace*this.mscale;var m=n.childNodes[d.msiePaddingWidthBug?1:0].style;m.marginLeft=m.marginRight=d.Em(o);n.bbox.w+=2*o;n.bbox.rw+=2*o}this.SUPER(arguments).HTMLhandleSpace.call(this,n)}});i.msqrt.Augment({toHTML:function(z){z=this.HTMLcreateSpan(z);var B=d.createStack(z);var r=d.createBox(B),w=d.createBox(B),v=d.createBox(B);var u=this.HTMLgetScale();var C=d.TeX.rule_thickness*u,o,n,A,s;if(this.Get("displaystyle")){o=d.TeX.x_height*u}else{o=C}n=Math.max(C+o/4,1.5*d.TeX.min_rule_thickness/this.em);var m=this.HTMLboxChild(0,r);A=m.bbox.h+m.bbox.d+n+C;d.createDelimiter(v,8730,A,u);d.MeasureSpans([m,v]);s=m.bbox.w;var y=0;if(v.isMultiChar||(d.AdjustSurd&&d.imgFonts)){v.bbox.w*=0.95}if(v.bbox.h+v.bbox.d>A){n=((v.bbox.h+v.bbox.d)-(A-C))/2}var D=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!D||s<(D.HW[0]||[0])[0]*u||u<0.75){d.createRule(w,0,C,s);w.bbox.h=-C}else{d.createDelimiter(w,d.FONTDATA.RULECHAR,s,u)}A=m.bbox.h+n+C;n=A*d.rfuzz;if(v.isMultiChar){n=d.rfuzz}y=this.HTMLaddRoot(B,v,y,v.bbox.h+v.bbox.d-A,u);d.placeBox(v,y,A-v.bbox.h);d.placeBox(w,y+v.bbox.w,A-w.bbox.h+n);d.placeBox(r,y+v.bbox.w,0);this.HTMLhandleSpace(z);this.HTMLhandleColor(z);return z},HTMLaddRoot:function(o,n,m,q,p){return m}});i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(u,n,s,q,m){var o=d.createBox(u);if(this.data[1]){var r=this.data[1].toHTML(o);r.style.paddingRight=r.style.paddingLeft="";d.Measured(r,o)}else{o.bbox=this.HTMLzeroBBox()}var p=this.HTMLrootHeight(n.bbox.h+n.bbox.d,m,o)-q;var t=Math.min(o.bbox.w,o.bbox.rw);s=Math.max(t,n.offset);d.placeBox(o,s-t,p);return s-n.offset},HTMLrootHeight:function(o,n,m){return 0.45*(o-0.9*n)+0.6*n+Math.max(0,m.bbox.d-0.075)}});i.mfenced.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.data.open){this.data.open.toHTML(q)}if(this.data[0]!=null){this.data[0].toHTML(q)}for(var o=1,n=this.data.length;o<n;o++){if(this.data[o]){if(this.data["sep"+o]){this.data["sep"+o].toHTML(q)}this.data[o].toHTML(q)}}if(this.data.close){this.data.close.toHTML(q)}var s=this.HTMLcomputeBBox(q);var p=q.bbox.h,r=q.bbox.d;for(o=0,n=s.length;o<n;o++){s[o].HTMLstretchV(q,p,r)}if(s.length){this.HTMLcomputeBBox(q,true)}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLcomputeBBox:function(r,q){var o=r.bbox={},s=[];this.HTMLcheckStretchy(this.data.open,o,s,q);this.HTMLcheckStretchy(this.data[0],o,s,q);for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){this.HTMLcheckStretchy(this.data["sep"+p],o,s,q);this.HTMLcheckStretchy(this.data[p],o,s,q)}}this.HTMLcheckStretchy(this.data.close,o,s,q);this.HTMLcleanBBox(o);return s},HTMLcheckStretchy:function(m,n,p,o){if(m){if(!o&&m.HTMLcanStretch("Vertical")){p.push(m);m=(m.CoreMO()||m)}this.HTMLcombineBBoxes(m,n)}}});i.menclose.Augment({toHTML:i.mbase.HTMLautoload});i.maction.Augment({toHTML:i.mbase.HTMLautoload});i.semantics.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.munderover.Augment({toHTML:function(M,I,G){var n=this.getValues("displaystyle","accent","accentunder","align");var q=this.data[this.base];if(!n.displaystyle&&q!=null&&(q.movablelimits||q.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toHTML.call(this,M)}M=this.HTMLcreateSpan(M);var Q=this.HTMLgetScale();var r=d.createStack(M);var s=[],p=[],O=[],z,N,J;for(N=0,J=this.data.length;N<J;N++){if(this.data[N]!=null){z=s[N]=d.createBox(r);p[N]=this.data[N].toHTML(z);if(N==this.base){if(G!=null){this.data[this.base].HTMLstretchV(z,I,G)}else{if(I!=null){this.data[this.base].HTMLstretchH(z,I)}}O[N]=(G==null&&I!=null?false:this.data[N].HTMLcanStretch("Horizontal"));if(this.data[this.over]&&n.accent){p[N].bbox.h=Math.max(p[N].bbox.h,Q*d.TeX.x_height)}}else{O[N]=this.data[N].HTMLcanStretch("Horizontal");p[N].style.paddingLeft=p[N].style.paddingRight=""}}}d.MeasureSpans(p);var o=-d.BIGDIMEN,L=o;for(N=0,J=this.data.length;N<J;N++){if(this.data[N]){if(s[N].bbox.w>L){L=s[N].bbox.w}if(!O[N]&&L>o){o=L}}}if(G==null&&I!=null){o=I}else{if(o==-d.BIGDIMEN){o=L}}for(N=L=0,J=this.data.length;N<J;N++){if(this.data[N]){z=s[N];if(O[N]){z.bbox=this.data[N].HTMLstretchH(z,o).bbox;if(N!==this.base){p[N].style.paddingLeft=p[N].style.paddingRight=""}}if(z.bbox.w>L){L=z.bbox.w}}}var F=d.TeX.rule_thickness*this.mscale,H=d.FONTDATA.TeX_factor;var w,u,B,A,v,E,K,P=0;q=s[this.base]||{bbox:this.HTMLzeroBBox()};if(q.bbox.ic){P=1.3*q.bbox.ic+0.05}for(N=0,J=this.data.length;N<J;N++){if(this.data[N]!=null){z=s[N];v=d.TeX.big_op_spacing5*Q;var C=(N!=this.base&&n[this.ACCENTS[N]]);if(C&&z.bbox.w<=1/d.em+0.0001){z.bbox.w=z.bbox.rw-z.bbox.lw;z.bbox.noclip=true;if(z.bbox.lw){z.insertBefore(d.createSpace(z.parentNode,0,0,-z.bbox.lw),z.firstChild)}d.createBlank(z,0,0,z.bbox.rw+0.1)}E={left:0,center:(L-z.bbox.w)/2,right:L-z.bbox.w}[n.align];w=E;u=0;if(N==this.over){if(C){K=Math.max(F*Q*H,2.5/this.em);v=0;if(q.bbox.skew){w+=q.bbox.skew;M.bbox.skew=q.bbox.skew;if(w+z.bbox.w>L){M.bbox.skew+=(L-z.bbox.w-w)/2}}}else{B=d.TeX.big_op_spacing1*Q*H;A=d.TeX.big_op_spacing3*Q*H;K=Math.max(B,A-Math.max(0,z.bbox.d))}K=Math.max(K,1.5/this.em);w+=P/2;u=q.bbox.h+z.bbox.d+K;z.bbox.h+=v}else{if(N==this.under){if(C){K=3*F*Q*H;v=0}else{B=d.TeX.big_op_spacing2*Q*H;A=d.TeX.big_op_spacing4*Q*H;K=Math.max(B,A-z.bbox.h)}K=Math.max(K,1.5/this.em);w-=P/2;u=-(q.bbox.d+z.bbox.h+K);z.bbox.d+=v}}d.placeBox(z,w,u)}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.msubsup.Augment({toHTML:function(M,K,F){M=this.HTMLcreateSpan(M);var P=this.HTMLgetScale(),J=this.HTMLgetMu(M);var y=d.createStack(M),n,w=[];var x=d.createBox(y);if(this.data[this.base]){w.push(this.data[this.base].toHTML(x));if(F!=null){this.data[this.base].HTMLstretchV(x,K,F)}else{if(K!=null){this.data[this.base].HTMLstretchH(x,K)}}}else{x.bbox=this.HTMLzeroBBox()}var N=d.TeX.x_height*P,E=d.TeX.scriptspace*P*0.75;var m,z;if(this.HTMLnotEmpty(this.data[this.sup])){m=d.createBox(y);w.push(this.data[this.sup].toHTML(m))}if(this.HTMLnotEmpty(this.data[this.sub])){z=d.createBox(y);w.push(this.data[this.sub].toHTML(z))}d.MeasureSpans(w);if(m){m.bbox.w+=E;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}if(z){z.bbox.w+=E;z.bbox.rw=Math.max(z.bbox.w,z.bbox.rw)}d.placeBox(x,0,0);var o=P;if(m){o=this.data[this.sup].HTMLgetScale()}else{if(z){o=this.data[this.sub].HTMLgetScale()}}var H=d.TeX.sup_drop*o,G=d.TeX.sub_drop*o;var B=x.bbox.h-H,A=x.bbox.d+G,O=0,I;if(x.bbox.ic){x.bbox.w-=x.bbox.ic;O=1.3*x.bbox.ic+0.05}if(this.data[this.base]&&K==null&&F==null&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(d.isChar(this.data[this.base].data.join(""))&&w[0].scale===1&&!this.data[this.base].Get("largeop")){B=A=0}}var L=this.getValues("subscriptshift","superscriptshift");L.subscriptshift=(L.subscriptshift===""?0:d.length2em(L.subscriptshift,J));L.superscriptshift=(L.superscriptshift===""?0:d.length2em(L.superscriptshift,J));if(!m){if(z){A=Math.max(A,d.TeX.sub1*P,z.bbox.h-(4/5)*N,L.subscriptshift);d.placeBox(z,x.bbox.w,-A,z.bbox)}}else{if(!z){n=this.getValues("displaystyle","texprimestyle");I=d.TeX[(n.displaystyle?"sup1":(n.texprimestyle?"sup3":"sup2"))];B=Math.max(B,I*P,m.bbox.d+(1/4)*N,L.superscriptshift);d.placeBox(m,x.bbox.w+O,B,m.bbox)}else{A=Math.max(A,d.TeX.sub2*P);var C=d.TeX.rule_thickness*P;if((B-m.bbox.d)-(z.bbox.h-A)<3*C){A=3*C-B+m.bbox.d+z.bbox.h;H=(4/5)*N-(B-m.bbox.d);if(H>0){B+=H;A-=H}}d.placeBox(m,x.bbox.w+O,Math.max(B,L.superscriptshift));d.placeBox(z,x.bbox.w,-Math.max(A,L.subscriptshift))}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload});i.mtable.Augment({toHTML:i.mbase.HTMLautoload});i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload});i.annotation.Augment({toHTML:function(m){return this.HTMLcreateSpan(m)}});i.math.Augment({toHTML:function(E,B,t){var u,w,x,r,m=E;if(!t||t===d.PHASE.I){var C=d.addElement(E,"nobr",{isMathJax:true});E=this.HTMLcreateSpan(C);var n=this.Get("alttext");if(n&&!E.getAttribute("aria-label")){E.setAttribute("aria-label",n)}u=d.createStack(E);w=d.createBox(u);u.style.fontSize=C.parentNode.style.fontSize;C.parentNode.style.fontSize="";if(this.data[0]!=null){i.mbase.prototype.displayAlign=b.config.displayAlign;i.mbase.prototype.displayIndent=b.config.displayIndent;if(String(b.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}x=this.data[0].toHTML(w);x.bbox.exactW=false}}else{E=E.firstChild.firstChild;if(this.href){E=E.firstChild}u=E.firstChild;if(u.style.position!=="relative"){u=u.nextSibling}w=u.firstChild;x=w.firstChild}r=((!t||t===d.PHASE.II)?d.Measured(x,w):x);if(!t||t===d.PHASE.III){d.placeBox(w,0,0);var q=r.bbox.w;q=Math.abs(q)<0.006?0:Math.max(0,Math.round(q*this.em)+0.25);E.style.width=d.EmRounded(q/d.outerEm);E.style.display="inline-block";var A=1/d.em,G=d.em/d.outerEm;d.em/=G;E.bbox.h*=G;E.bbox.d*=G;E.bbox.w*=G;E.bbox.lw*=G;E.bbox.rw*=G;if(E.bbox.H){E.bbox.H*=G}if(E.bbox.D){E.bbox.D*=G}if(r&&r.bbox.width!=null){E.style.minWidth=(r.bbox.minWidth||E.style.width);E.style.width=r.bbox.width;w.style.width=u.style.width="100%";m.className+=" MathJax_FullWidth"}var D=this.HTMLhandleColor(E);if(r){d.createRule(E,(r.bbox.h+A)*G,(r.bbox.d+A)*G,0)}if(!this.isMultiline&&this.Get("display")==="block"&&E.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===i.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}if(o.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift="0"}var F=d.length2em(o.indentshift,1,d.scale*d.cwidth);if(this.displayIndent!=="0"){var y=d.length2em(this.displayIndent,1,d.scale*d.cwidth);F+=(o.indentalign===i.INDENTALIGN.RIGHT?-y:y)}m.style.textAlign=B.style.textAlign=o.indentalign;if(F){b.Insert(E.style,({left:{marginLeft:d.Em(F)},right:{marginRight:d.Em(-F)},center:{marginLeft:d.Em(F),marginRight:d.Em(-F)}})[o.indentalign]);if(D){var v=parseFloat(D.style.marginLeft||"0")+F,s=parseFloat(D.style.marginRight||"0")-F;D.style.marginLeft=d.Em(v);D.style.marginRight=d.Em(s+(o.indentalign==="right"?E.bbox.w+F-E.bbox.w:0));if(d.msieColorBug&&o.indentalign==="right"){if(parseFloat(D.style.marginLeft)>0){var z=MathJax.HTML.addElement(D.parentNode,"span");z.style.marginLeft=d.Em(s+Math.min(0,E.bbox.w+F));D.nextSibling.style.marginRight="0em"}D.nextSibling.style.marginLeft="0em";D.style.marginRight=D.style.marginLeft="0em"}}}}}return E},HTMLspanElement:i.mbase.prototype.HTMLspanElement});i.TeXAtom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){if(this.texClass===i.TEXCLASS.VCENTER){var m=d.createStack(q);var r=d.createBox(m);var t=this.data[0].toHTML(r);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(r,o,s),r)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(r,o),r)}else{d.Measured(t,r)}}var n=d.TeX.axis_height*this.HTMLgetScale();d.placeBox(r,0,n-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var p=this.data[0].toHTML(q,o,s);if(s!=null){p=this.data[0].HTMLstretchV(r,o,s)}else{if(o!=null){p=this.data[0].HTMLstretchH(r,o)}}q.bbox=p.bbox}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});b.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(m){var q=(document.documentMode||0);var p=m.versionAtLeast("7.0");var o=m.versionAtLeast("8.0")&&q>7;var n=(document.compatMode==="BackCompat");if(q<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:(q<8),msieColorPositionBug:true,msieRelativeWidthBug:n,msieDisappearingBug:(q>=8),msieMarginScaleBug:(q<8),msiePaddingWidthBug:true,msieBorderWidthBug:n,msieFrameSizeBug:(q<=8),msieInlineBlockAlignBug:(!o||n),msiePlaceBoxBug:(o&&!n),msieClipRectBug:!o,msieNegativeSpaceBug:n,msieRuleBug:(q<7),cloneNodeBug:(o&&m.version==="8.0"),msieItalicWidthBug:true,initialSkipBug:(q<8),msieNegativeBBoxBug:(q>=8),msieIE6:!p,msieItalicWidthBug:true,FontFaceBug:(q<9),msieFontCSSBug:m.isIE9,allowWebFonts:(q>=9?"woff":"eot")})},Firefox:function(n){var o=false;if(n.versionAtLeast("3.5")){var m=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,m.length)===m){o="otf"}}d.Augment({ffVerticalAlignBug:!n.versionAtLeast("20.0"),AccentBug:true,allowWebFonts:o,ffFontOptimizationBug:true})},Safari:function(r){var p=r.versionAtLeast("3.0");var o=r.versionAtLeast("3.1");var m=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var n=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var s=(o&&r.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!r.versionAtLeast("5.0"))||(n!=null&&(n[1]<2||(n[1]==2&&n[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:((r.webkit||0)>=538?d.EmRounded:d.Em),rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!o,safariTextNodeBug:!p,forceReflow:true,FontFaceBug:true,combiningCharBug:parseInt(r.webkit)>=602,allowWebFonts:(o&&!s?"otf":false)});if(m){d.Augment({webFontDefault:(r.isMobile?"sans-serif":"serif")})}if(r.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(s){var q=b.config["HTML-CSS"];if(q){q.availableFonts=[];q.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(m){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:-0.02,AccentBug:true,AdjustSurd:true,FontFaceBug:m.versionAtLeast("32.0"),negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(m.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(m){m.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:m.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(m.versionAtLeast("10.0")&&!m.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(m){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_HTMLorMML-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_HTMLorMML-full.js");
diff --git a/config/TeX-AMS-MML_HTMLorMML.js b/config/TeX-AMS-MML_HTMLorMML.js
index c8507f5ec6..78a8585200 100644
--- a/config/TeX-AMS-MML_HTMLorMML.js
+++ b/config/TeX-AMS-MML_HTMLorMML.js
@@ -44,26 +44,114 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
 (function(c,g){var f="2.7.0";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_HTMLorMML.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_HTMLorMML.js");
diff --git a/config/TeX-AMS-MML_SVG-full.js b/config/TeX-AMS-MML_SVG-full.js
index cb5488de02..fc037ab515 100644
--- a/config/TeX-AMS-MML_SVG-full.js
+++ b/config/TeX-AMS-MML_SVG-full.js
@@ -42,26 +42,114 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.9",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
-(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);var o=n.Add(this.data[0].toSVG());n.Clean();if(o.ic){n.ic=o.ic}this.SVGhandleColor(n)}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aI<aE;aI++){S=this.data[aI];az=(S.type==="mlabeledtr"?aK:0);O[aI]=[];z[aI]=ac;I[aI]=ag;for(aG=az,u=S.data.length+az;aG<u;aG++){if(k[aG]==null){if(aG>w){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aI<aE;aI++){am[aI]=d.length2em(am[aI],v)}for(aI=0,aE=T.length;aI<aE;aI++){T[aI]=d.length2em(T[aI],v)}while(am.length<w){am.push(am[am.length-1])}while(ai.length<=w){ai.push(ai[ai.length-1])}while(N.length<w){N.push(N[N.length-1])}while(ar.length<=w){ar.push(ar[ar.length-1])}while(T.length<O.length){T.push(T[T.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(h.length<O.length){h.push(h[h.length-1])}if(K[aK]){ai[aK]=(aN.side.substr(0,1)==="l"?"left":"right");am[aK]=-k[aK]}for(aI=0,aE=O.length;aI<aE;aI++){S=this.data[aI];aw[aI]=[];if(S.rowalign){L[aI]=S.rowalign}if(S.columnalign){aw[aI]=ao(S.columnalign);while(aw[aI].length<=w){aw[aI].push(aw[aI][aw[aI].length-1])}}}if(aN.equalrows){var U=Math.max.apply(Math,z),aq=Math.max.apply(Math,I);for(aI=0,aE=O.length;aI<aE;aI++){az=((U+aq)-(z[aI]+I[aI]))/2;z[aI]+=az;I[aI]+=az}}aA=z[0]+I[O.length-1];for(aI=0,aE=O.length-1;aI<aE;aI++){aA+=Math.max(0,I[aI]+z[aI+1]+T[aI])}var ae=0,ab=0,aB,aL=aA;if(aN.frame!=="none"||(aN.columnlines+aN.rowlines).match(/solid|dashed/)){var t=ao(aN.framespacing);if(t.length!=2){t=ao(this.defaults.framespacing)}ae=d.length2em(t[0],v);ab=d.length2em(t[1],v);aL=aA+2*ab}var g,ay,aD="";if(typeof(aN.align)!=="string"){aN.align=String(aN.align)}if(aN.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aD=RegExp.$3||"";aN.align=RegExp.$1}else{aN.align=this.defaults.align}if(aD!==""){aD=parseInt(aD);if(aD<0){aD=O.length+1+aD}if(aD<1){aD=1}else{if(aD>O.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI<aE;aI++){var Z=Math.max(0,I[aI]+z[aI+1]+T[aI]);g+=Z;ay+=Z}}else{g=({top:-(z[0]+ab),bottom:aA+ab-z[0],center:aA/2-z[0],baseline:aA/2-z[0],axis:aA/2+d.TeX.axis_height*ap-z[0]})[aN.align];ay=({top:-(aA+2*ab),bottom:0,center:-(aA/2+ab),baseline:-(aA/2+ab),axis:d.TeX.axis_height*ap-aA/2-ab})[aN.align]}var at,ax=0,V=0,X=0,aC=0,aJ=0,r=[],B=[],aj=1;if(aN.equalcolumns&&aN.width!=="auto"){at=d.length2em(aN.width,v);for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}at/=w;for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){k[aI]=at}}else{for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){if(ar[aI]==="auto"){V+=k[aI]}else{if(ar[aI]==="fit"){B[aJ]=aI;aJ++;V+=k[aI]}else{if(ar[aI].match(/%$/)){r[aC]=aI;aC++;X+=k[aI];ax+=d.length2em(ar[aI],v,1)}else{k[aI]=d.length2em(ar[aI],v);V+=k[aI]}}}}if(aN.width==="auto"){if(ax>0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}}for(aI=0,aE=r.length;aI<aE;aI++){k[r[aI]]=d.length2em(ar[r[aI]],v,at*aj);V+=k[r[aI]]}if(Math.abs(at-V)>0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aI<aE;aI++){k[B[aI]]+=at}}else{at=at/V;for(aG=0;aG<=w;aG++){k[aG]*=at}}}if(aN.equalcolumns){var af=Math.max.apply(Math,k);for(aG=0;aG<=w;aG++){k[aG]=af}}}var au=g,l,aF;az=(K[aK]?aK:0);for(aG=az;aG<=w;aG++){K[aG].w=k[aG];for(aI=0,aE=O.length;aI<aE;aI++){if(O[aI][aG]){az=(this.data[aI].type==="mlabeledtr"?aK:0);an=this.data[aI].data[aG-az];if(an.SVGcanStretch("Horizontal")){O[aI][aG]=an.SVGstretchH(k[aG])}else{if(an.SVGcanStretch("Vertical")){E=an.CoreMO();var ad=E.symmetric;E.symmetric=false;O[aI][aG]=an.SVGstretchV(z[aI],I[aI]);E.symmetric=ad}}aF=an.rowalign||this.data[aI].rowalign||L[aI];l=({top:z[aI]-O[aI][aG].h,bottom:O[aI][aG].d-I[aI],center:((z[aI]-I[aI])-(O[aI][aG].h-O[aI][aG].d))/2,baseline:0,axis:0})[aF]||0;aF=(an.columnalign||aw[aI][aG]||ai[aG]);K[aG].Align(O[aI][aG],aF,0,au+l)}if(aI<O.length-1){au-=Math.max(0,I[aI]+z[aI+1]+T[aI])}}au=g}var ah=1.5*d.em;var av=ae-ah/2;for(aG=0;aG<=w;aG++){o.Add(K[aG],av,0);av+=k[aG]+am[aG];if(N[aG]!=="none"&&aG<w&&aG!==aK){o.Add(b.VLINE(aL,ah,N[aG]),av-am[aG]/2,ay)}}o.w+=ae;o.d=-ay;o.h=aL+ay;aB=o.w;if(aN.frame!=="none"){o.Add(b.HLINE(aB,ah,aN.frame),0,ay+aL-ah);o.Add(b.HLINE(aB,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),aB-ah,ay)}au=g-ah/2;for(aI=0,aE=O.length-1;aI<aE;aI++){l=Math.max(0,I[aI]+z[aI+1]+T[aI]);if(h[aI]!==a.LINES.NONE&&h[aI]!==""){o.Add(b.HLINE(aB,ah,h[aI]),0,au-I[aI]-(l-I[aI]-z[aI+1])/2)}au-=l}o.Clean();this.SVGhandleSpace(o);this.SVGhandleColor(o);if(K[aK]){o.tw=Math.max(o.w,o.r)-Math.min(0,o.l);var R=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(R.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){R.indentalign=R.indentalignfirst}if(R.indentalign===a.INDENTALIGN.AUTO){R.indentalign=this.displayAlign}if(R.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){R.indentshift=R.indentshiftfirst}if(R.indentshift==="auto"||R.indentshift===""){R.indentshift="0"}var ak=d.length2em(R.indentshift,v,d.cwidth);var Q=d.length2em(aN.minlabelspacing,v,d.cwidth);var al=Q+K[aK].w,aO=0,aH=o.w;var e=d.length2em(this.displayIndent,v,d.cwidth);az=(ai[aK]===a.INDENTALIGN.RIGHT?-1:1);if(R.indentalign===a.INDENTALIGN.CENTER){var q=(d.cwidth-aH)/2;ak+=e;if(al+az*aO>q+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
+(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}o.D=o.d;o.H=o.h;o.r=Math.max(0,Math.min(o.w,o.r));o.l=Math.max(0,Math.min(o.w,o.l))}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(o);var p=o.Add(this.data[0].toSVG(n,q));o.Clean();if(p.ic){o.ic=p.ic}this.SVGhandleColor(o)}this.SVGsaveData(o);return o}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aI<aE;aI++){S=this.data[aI];az=(S.type==="mlabeledtr"?aK:0);O[aI]=[];z[aI]=ac;I[aI]=ag;for(aG=az,u=S.data.length+az;aG<u;aG++){if(k[aG]==null){if(aG>w){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aI<aE;aI++){am[aI]=d.length2em(am[aI],v)}for(aI=0,aE=T.length;aI<aE;aI++){T[aI]=d.length2em(T[aI],v)}while(am.length<w){am.push(am[am.length-1])}while(ai.length<=w){ai.push(ai[ai.length-1])}while(N.length<w){N.push(N[N.length-1])}while(ar.length<=w){ar.push(ar[ar.length-1])}while(T.length<O.length){T.push(T[T.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(h.length<O.length){h.push(h[h.length-1])}if(K[aK]){ai[aK]=(aN.side.substr(0,1)==="l"?"left":"right");am[aK]=-k[aK]}for(aI=0,aE=O.length;aI<aE;aI++){S=this.data[aI];aw[aI]=[];if(S.rowalign){L[aI]=S.rowalign}if(S.columnalign){aw[aI]=ao(S.columnalign);while(aw[aI].length<=w){aw[aI].push(aw[aI][aw[aI].length-1])}}}if(aN.equalrows){var U=Math.max.apply(Math,z),aq=Math.max.apply(Math,I);for(aI=0,aE=O.length;aI<aE;aI++){az=((U+aq)-(z[aI]+I[aI]))/2;z[aI]+=az;I[aI]+=az}}aA=z[0]+I[O.length-1];for(aI=0,aE=O.length-1;aI<aE;aI++){aA+=Math.max(0,I[aI]+z[aI+1]+T[aI])}var ae=0,ab=0,aB,aL=aA;if(aN.frame!=="none"||(aN.columnlines+aN.rowlines).match(/solid|dashed/)){var t=ao(aN.framespacing);if(t.length!=2){t=ao(this.defaults.framespacing)}ae=d.length2em(t[0],v);ab=d.length2em(t[1],v);aL=aA+2*ab}var g,ay,aD="";if(typeof(aN.align)!=="string"){aN.align=String(aN.align)}if(aN.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aD=RegExp.$3||"";aN.align=RegExp.$1}else{aN.align=this.defaults.align}if(aD!==""){aD=parseInt(aD);if(aD<0){aD=O.length+1+aD}if(aD<1){aD=1}else{if(aD>O.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI<aE;aI++){var Z=Math.max(0,I[aI]+z[aI+1]+T[aI]);g+=Z;ay+=Z}}else{g=({top:-(z[0]+ab),bottom:aA+ab-z[0],center:aA/2-z[0],baseline:aA/2-z[0],axis:aA/2+d.TeX.axis_height*ap-z[0]})[aN.align];ay=({top:-(aA+2*ab),bottom:0,center:-(aA/2+ab),baseline:-(aA/2+ab),axis:d.TeX.axis_height*ap-aA/2-ab})[aN.align]}var at,ax=0,V=0,X=0,aC=0,aJ=0,r=[],B=[],aj=1;if(aN.equalcolumns&&aN.width!=="auto"){at=d.length2em(aN.width,v);for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}at/=w;for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){k[aI]=at}}else{for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){if(ar[aI]==="auto"){V+=k[aI]}else{if(ar[aI]==="fit"){B[aJ]=aI;aJ++;V+=k[aI]}else{if(ar[aI].match(/%$/)){r[aC]=aI;aC++;X+=k[aI];ax+=d.length2em(ar[aI],v,1)}else{k[aI]=d.length2em(ar[aI],v);V+=k[aI]}}}}if(aN.width==="auto"){if(ax>0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}}for(aI=0,aE=r.length;aI<aE;aI++){k[r[aI]]=d.length2em(ar[r[aI]],v,at*aj);V+=k[r[aI]]}if(Math.abs(at-V)>0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aI<aE;aI++){k[B[aI]]+=at}}else{at=at/V;for(aG=0;aG<=w;aG++){k[aG]*=at}}}if(aN.equalcolumns){var af=Math.max.apply(Math,k);for(aG=0;aG<=w;aG++){k[aG]=af}}}var au=g,l,aF;az=(K[aK]?aK:0);for(aG=az;aG<=w;aG++){K[aG].w=k[aG];for(aI=0,aE=O.length;aI<aE;aI++){if(O[aI][aG]){az=(this.data[aI].type==="mlabeledtr"?aK:0);an=this.data[aI].data[aG-az];if(an.SVGcanStretch("Horizontal")){O[aI][aG]=an.SVGstretchH(k[aG])}else{if(an.SVGcanStretch("Vertical")){E=an.CoreMO();var ad=E.symmetric;E.symmetric=false;O[aI][aG]=an.SVGstretchV(z[aI],I[aI]);E.symmetric=ad}}aF=an.rowalign||this.data[aI].rowalign||L[aI];l=({top:z[aI]-O[aI][aG].h,bottom:O[aI][aG].d-I[aI],center:((z[aI]-I[aI])-(O[aI][aG].h-O[aI][aG].d))/2,baseline:0,axis:0})[aF]||0;aF=(an.columnalign||aw[aI][aG]||ai[aG]);K[aG].Align(O[aI][aG],aF,0,au+l)}if(aI<O.length-1){au-=Math.max(0,I[aI]+z[aI+1]+T[aI])}}au=g}var ah=1.5*d.em;var av=ae-ah/2;for(aG=0;aG<=w;aG++){o.Add(K[aG],av,0);av+=k[aG]+am[aG];if(N[aG]!=="none"&&aG<w&&aG!==aK){o.Add(b.VLINE(aL,ah,N[aG]),av-am[aG]/2,ay)}}o.w+=ae;o.d=-ay;o.h=aL+ay;aB=o.w;if(aN.frame!=="none"){o.Add(b.HLINE(aB,ah,aN.frame),0,ay+aL-ah);o.Add(b.HLINE(aB,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),aB-ah,ay)}au=g-ah/2;for(aI=0,aE=O.length-1;aI<aE;aI++){l=Math.max(0,I[aI]+z[aI+1]+T[aI]);if(h[aI]!==a.LINES.NONE&&h[aI]!==""){o.Add(b.HLINE(aB,ah,h[aI]),0,au-I[aI]-(l-I[aI]-z[aI+1])/2)}au-=l}o.Clean();this.SVGhandleSpace(o);this.SVGhandleColor(o);if(K[aK]){o.tw=Math.max(o.w,o.r)-Math.min(0,o.l);var R=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(R.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){R.indentalign=R.indentalignfirst}if(R.indentalign===a.INDENTALIGN.AUTO){R.indentalign=this.displayAlign}if(R.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){R.indentshift=R.indentshiftfirst}if(R.indentshift==="auto"||R.indentshift===""){R.indentshift="0"}var ak=d.length2em(R.indentshift,v,d.cwidth);var Q=d.length2em(aN.minlabelspacing,v,d.cwidth);var al=Q+K[aK].w,aO=0,aH=o.w;var e=d.length2em(this.displayIndent,v,d.cwidth);az=(ai[aK]===a.INDENTALIGN.RIGHT?-1:1);if(R.indentalign===a.INDENTALIGN.CENTER){var q=(d.cwidth-aH)/2;ak+=e;if(al+az*aO>q+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_SVG-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_SVG-full.js");
diff --git a/config/TeX-AMS-MML_SVG.js b/config/TeX-AMS-MML_SVG.js
index 14f31e7bab..56a23c5647 100644
--- a/config/TeX-AMS-MML_SVG.js
+++ b/config/TeX-AMS-MML_SVG.js
@@ -40,24 +40,112 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.9",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_SVG.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS-MML_SVG.js");
diff --git a/config/TeX-AMS_CHTML-full.js b/config/TeX-AMS_CHTML-full.js
index 867983739e..a6cd7cb71a 100644
--- a/config/TeX-AMS_CHTML-full.js
+++ b/config/TeX-AMS_CHTML-full.js
@@ -39,23 +39,111 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
-(function(o,f,m,a){var d;var g=MathJax.Object.isArray;var e,q,h;var k=1,l=0.1,j=0.025,b=0.025;var p={".mjx-chtml":{display:"inline-block","line-height":0,"text-indent":0,"text-align":"left","text-transform":"none","font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","letter-spacing":"normal","word-wrap":"normal","word-spacing":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,margin:0,padding:"1px 0"},".MJXc-display":{display:"block","text-align":"center",margin:"1em 0",padding:0},".mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex]":{display:"inline-table"},".mjx-full-width":{"text-align":"center",display:"table-cell!important",width:"10000em"},".mjx-math":{display:"inline-block","border-collapse":"separate","border-spacing":0},".mjx-math *":{display:"inline-block","-webkit-box-sizing":"content-box!important","-moz-box-sizing":"content-box!important","box-sizing":"content-box!important","text-align":"left"},".mjx-numerator":{display:"block","text-align":"center"},".mjx-denominator":{display:"block","text-align":"center"},".MJXc-stacked":{height:0,position:"relative"},".MJXc-stacked > *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v<s;v++){var y=x.childNodes[v];if(y){if(u.test(y.className)){return y}if(y.id===""){t.push(y)}}}x=t.shift()}return null},preTranslate:function(w){var v=w.jax[this.id],E,B=v.length,H,z,C,F,t,G,s,I;var y=100000,x=false,D=0,u=c.automatic,A=c.width;if(u){x=!!A.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/);if(x){A=A.replace(/\s*container\s*/,"")}else{y=this.defaultWidth}if(A===""){A="100%"}}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}z=H.previousSibling;if(z&&z.className&&String(z.className).substr(0,9)==="mjx-chtml"){z.parentNode.removeChild(z)}if(H.MathJax.preview){H.MathJax.preview.style.display="none"}t=H.MathJax.elementJax;if(!t){continue}t.CHTML={display:(t.root.Get("display")==="block"),preview:(t.CHTML||{}).preview};C=a.Element("mjx-chtml",{id:t.inputID+"-Frame",className:"MathJax_CHTML",isMathJax:true,jaxID:this.id,oncontextmenu:e.Menu,onmousedown:e.Mousedown,onmouseover:e.Mouseover,onmouseout:e.Mouseout,onmousemove:e.Mousemove,onclick:e.Click,ondblclick:e.DblClick,onkeydown:e.Keydown,tabIndex:f.getTabOrder(t)});if(t.CHTML.display){var J=a.Element("mjx-chtml",{className:"MJXc-display",isMathJax:false});J.appendChild(C);C=J}if(f.Browser.noContextMenu){C.ontouchstart=q.start;C.ontouchend=q.end}C.className+=" MJXc-processing";H.parentNode.insertBefore(C,H);F=this.TestSpan.cloneNode(true);F.className+=" mjx-test-"+(t.CHTML.display?"display":"inline");H.parentNode.insertBefore(F,H)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}F=H.previousSibling;t=H.MathJax.elementJax;if(!t){continue}s=a.getFontSize(F);G=F.childNodes[1].offsetHeight/60;D=Math.max(0,t.CHTML.display?F.lastChild.offsetWidth-1:F.lastChild.offsetLeft-F.firstChild.offsetLeft-2);if(G===0||G==="NaN"){G=this.defaultEx;D=this.defaultWidth}if(D===0&&!t.CHTML.display){D=this.defaultWidth}if(x){y=D}I=(this.config.matchFontHeight?G/this.TEX.x_height/s:1);I=Math.floor(Math.max(this.config.minScaleAdjust/100,I)*this.config.scale);t.CHTML.scale=I/100;t.CHTML.fontSize=I+"%";t.CHTML.outerEm=s;t.CHTML.em=this.em=s*I/100;t.CHTML.ex=G;t.CHTML.cwidth=D/this.em;t.CHTML.lineWidth=(u?this.length2em(A,y/this.em,1):y)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}t=H.MathJax.elementJax;if(!t){continue}H.parentNode.removeChild(H.previousSibling);if(H.MathJax.preview){H.MathJax.preview.style.display=""}}w.CHTMLeqn=w.CHTMLlast=0;w.CHTMLi=-1;w.CHTMLchunk=this.config.EqnChunk;w.CHTMLdelay=false},Translate:function(t,x){if(!t.parentNode){return}if(x.CHTMLdelay){x.CHTMLdelay=false;f.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var s=t.MathJax.elementJax,w=s.root,v=document.getElementById(s.inputID+"-Frame");if(!v){return}this.getMetrics(s);if(this.scale!==1){v.style.fontSize=s.CHTML.fontSize}this.initCHTML(w,v);this.savePreview(t);this.CHTMLnode=v;try{w.setTeXclass();w.toCommonHTML(v)}catch(u){while(v.firstChild){v.removeChild(v.firstChild)}delete this.CHTMLnode;this.restorePreview(t);throw u}delete this.CHTMLnode;this.restorePreview(t);if(s.CHTML.display){v=v.parentNode}v.className=v.className.replace(/ [^ ]+$/,"");v.className+=" MJXc-processed";if(t.MathJax.preview){s.CHTML.preview=t.MathJax.preview;delete t.MathJax.preview}x.CHTMLeqn+=(x.i-x.CHTMLi);x.CHTMLi=x.i;if(x.CHTMLeqn>=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;v<s;v++){var u=t[v];if(u&&u.MathJax.elementJax){u.previousSibling.className=u.previousSibling.className.replace(/ [^ ]+$/,"");var w=u.MathJax.elementJax.CHTML;if(w.preview){w.preview.innerHTML="";u.MathJax.preview=w.preview;delete w.preview}}}x.CHTMLlast=x.CHTMLeqn},getJaxFromMath:function(s){if(s.parentNode.className.match(/MJXc-display/)){s=s.parentNode}do{s=s.nextSibling}while(s&&s.nodeName.toLowerCase()!=="script");return f.getJaxFor(s)},getHoverSpan:function(s,t){return s.root.CHTMLnodeElement()},getHoverBBox:function(s,v,w){var x=s.root.CHTML,u=s.CHTML.outerEm;var t={w:x.w*u,h:x.h*u,d:x.d*u};if(x.width){t.width=x.width}return t},Zoom:function(u,B,A,s,y){this.getMetrics(u);var v=a.addElement(B,"mjx-chtml",{style:{"font-size":Math.floor(a.scale*100)+"%"},isMathJax:false});a.CHTMLnode=v;this.idPostfix="-zoom";u.root.toCommonHTML(v);this.idPostfix="";var t=v.style,C=u.root.CHTML;if(C.t>C.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u<z;u++){if(t[u].name==="alpha"&&w.noLowerCase){continue}var x=w["offset"+t[u].offset];if(x&&v>=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i<s.length){y=this.getUnicode(s);var u=this.getCharList(t,y);if(u){v.push.apply(v,u)}}}else{if(t.cache[y]){v=t.cache[y]}else{t.cache[y]=v=this.lookupChar(t,y,w)}}return v},lookupChar:function(v,z,x){var y=v;while(v){for(var u=0,s=v.fonts.length;u<s;u++){var t=this.FONTDATA.FONTS[v.fonts[u]];if(typeof(t)==="string"){this.loadFont(t)}var w=t[z];if(w){this.fixChar(w,z);if(w[5].space){return[{type:"space",w:w[2],font:t}]}return[{type:"char",font:t,n:z}]}else{if(t.Extra){this.findBlock(t,z)}}}v=this.FONTDATA.VARIANT[v.chain];if(v&&v.remap&&v.remap[z]&&x++<n){return this.remapChar(v,z,x)}}return[this.unknownChar(y,z)]},fixChar:function(s,t){if(s.length===5){s[5]={}}if(s.c==null){s[0]/=1000;s[1]/=1000;s[2]/=1000;s[3]/=1000;s[4]/=1000;s.c=this.unicodeChar(t)}return s},findBlock:function(u,y){var t=u.Extra,v=u.file,x;for(var w=0,s=t.length;w<s;w++){if(typeof(t[w])==="number"){if(y===t[w]){x=v;break}}else{if(y<t[w][0]){return}if(y<=t[w][1]){x=v;break}}}if(x){delete u.Extra;this.loadFont(v)}},unknownChar:function(s,v){f.signal.Post(["CommonHTML Jax - unknown char",v,s]);var u="";if(s.bold){u+="B"}if(s.italic){u+="I"}var t=this.FONTDATA.UNKNOWN[u||"R"];if(!t[v]){this.getUnknownChar(t,v)}return{type:"unknown",n:v,font:t}},getUnknownChar:function(t,v){var u=this.unicodeChar(v);var s=this.getHDW(u,t.className);t[v]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];t[v].c=u},styledText:function(t,w){f.signal.Post(["CommonHTML Jax - styled text",w,t]);var u=t.style;var x="_"+(u["font-family"]||t.className||"");if(u["font-weight"]){x+="_"+u["font-weight"]}if(u["font-style"]){x+="_"+u["font-style"]}if(!this.STYLEDTEXT){this.STYLEDTEXT={}}if(!this.STYLEDTEXT[x]){this.STYLEDTEXT[x]={className:t.className||""}}var v=this.STYLEDTEXT[x];if(!v["_"+w]){var s=this.getHDW(w,t.className||"",u);v["_"+w]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];v["_"+w].c=w}return{type:"unknown",n:"_"+w,font:v,style:u,rscale:t.rscale}},getHDW:function(B,u,F){var t=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B]]]);var s=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B,["mjx-box"]]]]);t.firstChild.style.fontSize=s.firstChild.style.fontSize="";var v=5*a.em;var E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;a.CHTMLnode.removeChild(t);a.CHTMLnode.removeChild(s);if(C===0){v=5*a.defaultEm;var A=document.body.appendChild(document.createElement("div"));A.appendChild(t);A.appendChild(s);E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;document.body.removeChild(A)}var z=(C-1000)/v,D=x/v,y=E/v-z;return{h:y,d:z,w:D}},addCharList:function(v,x,y){var w={text:"",className:null,a:0};for(var t=0,s=x.length;t<s;t++){var u=x[t];if(this.charList[u.type]){(this.charList[u.type])(u,v,y,w,s)}}if(w.text!==""){if(v.childNodes.length){this.charList.flushText(v,w)}else{m.addText(v,w.text);if(v.className){v.className+=" "+w.className}else{v.className=w.className}}}y.b=(w.flushed?0:y.a)},charList:{"char":function(D,x,B,u,y){var w=D.font,A=(w.remapCombining||{})[D.n];if(w.className===u.className){A=null}else{if(u.className||(A&&u.text!=="")){this.flushText(x,u)}}if(!u.a){u.a=w.centerline/1000}if(u.a>(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.h<t[0]+j){B.t=B.h=t[0]+j}if(B.d<t[1]+b){B.b=B.d=t[1]+b}if(B.l>B.w+t[3]){B.l=B.w+t[3]}if(B.r<B.w+t[4]){B.r=B.w+t[4]}B.w+=t[2]*(D.rscale||1);if(y==1&&w.skew&&w.skew[D.n]){B.skew=w.skew[D.n]}if(t[5]&&t[5].rfix){this.flushText(x,u).style.marginRight=a.Em(t[5].rfix/1000)}if(A){var z=this.flushText(x,u);var s=(v[D.n]||w[D.n])[4]-(t[4]-t[2]);z.style.marginLeft=a.Em(-t[2]-s);if(s<0){z.style.marginRight=a.Em(-s)}}},space:function(t,s,v,u){if(t.w){if(u.text===""){u.className=t.font.className}this.flushText(s,u).style.marginRight=a.Em(t.w);v.w+=t.w}},unknown:function(t,s,w,u){(this["char"])(t,s,w,u,0);var v=t.font[t.n];if(v[5].a){u.a=v[5].a;if(w.a==null||u.a>w.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i<s.length){var y=this.getUnicode(s);v.push.apply(v,this.getCharList(t,y))}}if(v.length){this.addCharList(u.firstChild,v,w)}w.clean();if(w.d<0){w.D=w.d;w.d=0}if(w.h-w.a){u.firstChild.style[w.h-w.a<0?"marginTop":"paddingTop"]=this.EmRounded(w.h-w.a)}if(w.d>-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y<w;y++){if(t.HW[y][0]>=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&x<J*P.min){x=J*P.min}if(x>J){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&s<y*P.min){s=y*P.min}Q.w=Q.r=s;if(s>y){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v<s;v++){if(t[v]){t[v].style.paddingTop=a.Em(u-w[v].a);t[v].style.paddingBottom=a.Em(y+w[v].a);t[v].style.marginTop=t[v].style.marginBottom=0}}},createChar:function(u,y,w,t){var B="",x={fonts:[y[1]],noRemap:true,cache:{}};if(t&&t===d.VARIANT.BOLD&&this.FONTDATA.FONTS[y[1]+"-Bold"]){x.fonts=[y[1]+"-Bold",y[1]]}if(typeof(y[1])!=="string"){x=y[1]}if(y[0] instanceof Array){for(var z=0,v=y[0].length;z<v;z++){B+=String.fromCharCode(y[0][z])}}else{B=String.fromCharCode(y[0])}if(y[4]){w*=y[4]}var A=this.handleText(u,B,x),s=u.firstChild.style;if(w!==1){s.fontSize=this.Percent(w)}if(y[2]){s.paddingLeft=this.Em(y[2]);A.w+=y[2];A.r+=y[2]}if(y[3]){s.verticalAlign=this.Em(y[3]);A.h+=y[3];if(A.h<0){A.h=0}}if(y[5]){s.marginTop=this.Em(y[5]);A.h+=y[5];A.t+=y[5]}if(y[6]){s.marginBottom=this.Em(y[6]);A.d+=y[6];A.b+=y[6]}return A},length2em:function(w,u,x){if(typeof(w)!=="string"){w=w.toString()}if(w===""){return""}if(w===d.SIZE.NORMAL){return 1}if(w===d.SIZE.BIG){return 2}if(w===d.SIZE.SMALL){return 0.71}if(this.MATHSPACE[w]){return this.MATHSPACE[w]}var t=w.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var s=parseFloat(t[1]||"1"),v=t[2];if(u==null){u=1}if(!x){x=1}x=1/this.em/x;if(v==="em"){return s}if(v==="ex"){return s*this.TEX.x_height}if(v==="%"){return s/100*u}if(v==="px"){return s*x}if(v==="pt"){return s/10}if(v==="pc"){return s*1.2}x*=this.pxPerInch;if(v==="in"){return s*x}if(v==="cm"){return s*x/2.54}if(v==="mm"){return s*x/25.4}if(v==="mu"){return s/18}return s*u},thickness2em:function(s,t){var u=a.TEX.rule_thickness/(t||1);if(s===d.LINETHICKNESS.MEDIUM){return u}if(s===d.LINETHICKNESS.THIN){return 0.67*u}if(s===d.LINETHICKNESS.THICK){return 1.67*u}return this.length2em(s,u,t)},Em:function(s){if(Math.abs(s)<0.001){return"0"}return(s.toFixed(3).replace(/\.?0+$/,""))+"em"},EmRounded:function(s){s=(Math.round(s*a.em)+0.05)/a.em;if(Math.abs(s)<0.0006){return"0em"}return s.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(s){return parseFloat(s)},Px:function(s,t){s*=this.em;if(t&&s<t){s=t}if(Math.abs(s)<0.1){return"0"}return s.toFixed(1).replace(/\.0$/,"")+"px"},Percent:function(s){return(100*s).toFixed(1).replace(/\.?0+$/,"")+"%"},Transform:function(v,t,s){var u=v.style;u.transform=u.WebkitTransform=u.MozTransform=u["-ms-transform"]=t;if(s){u.transformOrigin=u.WebkitTransformOrigin=u.MozTransformOrigin=u["-ms-transform-origin"]=s}},arrayEntry:function(s,t){return s[Math.max(0,Math.min(t,s.length-1))]},removeStyles:["fontSize","fontFamily","fontWeight","fontStyle","fontVariant","font"]});a.BBOX=MathJax.Object.Subclass({Init:function(s){for(var t in s){if(s.hasOwnProperty(t)){this[t]=s[t]}}},clean:function(){if(this.h===-i){this.h=0}if(this.d===-i){this.d=0}if(this.l===i){this.l=0}if(this.r===-i){this.r=0}if(this.t===-i){this.t=0}if(this.b===-i){this.b=0}if(this.D&&this.d>0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}if(s+u*(t.w+(t.L||0)+(t.R||0))>this.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}this.w+=u*(t.w+(t.L||0)+(t.R||0));if(u*t.h>this.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]<u){this[v]=u}}}},{zero:function(){return a.BBOX({h:0,d:0,w:0,l:0,r:0,t:0,b:0,scale:1,rscale:1})},empty:function(s){if(!s){s=a.BBOX.zero()}s.h=s.d=s.r=s.t=s.b=-i;s.w=0;s.l=i;delete s.pwidth;return s},styleAdjust:[["borderTopWidth","h","t"],["borderRightWidth","w","r"],["borderBottomWidth","d","b"],["borderLeftWidth","w","l",0],["paddingTop","h","t"],["paddingRight","w","r"],["paddingBottom","d","b"],["paddingLeft","w","l",0],]});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){d=MathJax.ElementJax.mml;d.mbase.Augment({toCommonHTML:function(t,s){return this.CHTMLdefaultNode(t,s)},CHTMLmultiline:function(){d.mbase.CHTMLautoloadFile("multiline")},CHTMLdefaultNode:function(v,t){if(!t){t={}}v=this.CHTMLcreateNode(v);this.CHTML=a.BBOX.empty();this.CHTMLhandleStyle(v);if(this.isToken){this.CHTMLgetVariant()}this.CHTMLhandleScale(v);var s=Math.max((t.minChildren||0),this.data.length);for(var u=0;u<s;u++){this.CHTMLaddChild(v,u,t)}if(!t.noBBox){this.CHTML.clean()}this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v},CHTMLaddChild:function(x,t,s){var z=this.data[t],w;var u=s.childNodes;if(u instanceof Array){u=u[t]||"span"}if(z){if(u){x=a.addElement(x,u)}w=z.toCommonHTML(x,s.childOptions);if(u&&z.CHTML.rscale!==1){x.style.fontSize=x.firstChild.style.fontSize;x.firstChild.style.fontSize=""}if(!s.noBBox){var y=this.CHTML,v=z.CHTML;y.append(v);if(this.data.length===1){if(v.ic){y.ic=v.ic}if(v.skew){y.skew=v.skew}}else{delete y.ic;delete y.skew}if(v.pwidth){y.pwidth=v.pwidth}}}else{if(s.forceChild){w=a.addElement(x,(u||"mjx-box"))}}return w},CHTMLchildNode:function(t,s){t=t.childNodes[s];if(t.nodeName.toLowerCase()==="a"){t=t.firstChild}return t},CHTMLcoreNode:function(s){if(this.inferRow&&this.data[0]){return this.data[0].CHTMLcoreNode(s.firstChild)}return this.CHTMLchildNode(s,this.CoreIndex())},CHTMLstretchChildV:function(v,u,y){var x=this.data[v];if(x){var z=this.CHTML,t=x.CHTML;if(t.stretch||(t.stretch==null&&x.CHTMLcanStretch("Vertical",u,y))){var s=t.w;t=x.CHTMLstretchV(u,y);z.w+=t.w-s;if(z.w>z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t<s;t++){var x=z[t];if(y[x]==false||(!u[x]&&!y[x]&&w[x]==null&&typeof(v[x])==="undefined")){v.setAttribute(x,this.attr[x])}}}return v},CHTMLhandleScale:function(v){var x=1,u=this.parent,w=(u?u.CHTML.scale:1);var s=this.getValues("scriptlevel","fontsize");s.mathsize=this.Get("mathsize",null,!this.isToken);if(s.scriptlevel!==0){if(s.scriptlevel>2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x<s.scriptminsize){x=s.scriptminsize}}if(this.removedStyles&&this.removedStyles.fontSize&&!s.fontsize){s.fontsize=this.removedStyles.fontSize}if(s.fontsize&&!this.mathsize){s.mathsize=s.fontsize}if(s.mathsize!==1){x*=a.length2em(s.mathsize,1,1)}var t=this.CHTMLvariant;if(t&&t.style&&t.style["font-family"]){x*=(a.config.scale/100)/a.scale}this.CHTML.scale=x;w=this.CHTML.rscale=x/w;if(Math.abs(w-1)<0.001){w=1}if(v&&w!==1){v.style.fontSize=a.Percent(w)}return x},CHTMLhandleStyle:function(v){if(!this.style){return}var u=v.style;u.cssText=this.style;this.removedStyles={};for(var t=0,s=a.removeStyles.length;t<s;t++){var w=a.removeStyles[t];if(u[w]){this.removedStyles[w]=u[w];u[w]=""}}},CHTMLhandleBBox:function(w){var t=this.CHTML,v=w.style;if(this.data.length===1&&(this.data[0].CHTML||{}).pwidth){t.pwidth=this.data[0].CHTML.pwidth;t.mwidth=this.data[0].CHTML.mwidth;v.width="100%"}else{if(t.pwidth){t.mwidth=a.Em(t.w);v.width="100%"}else{if(t.w<0){v.width="0px";v.marginRight=a.Em(t.w)}}}if(!this.style){return}for(var u=0,s=a.BBOX.styleAdjust.length;u<s;u++){var x=a.BBOX.styleAdjust[u];if(x&&v[x[0]]){t.adjust(v[x[0]],x[1],x[2],x[3])}}},CHTMLhandleColor:function(s){if(this.mathcolor){s.style.color=this.mathcolor}else{if(this.color){s.style.color=this.color}}if(this.mathbackground){s.style.backgroundColor=this.mathbackground}else{if(this.background){s.style.backgroundColor=this.background}}},CHTMLhandleSpace:function(s){if(!this.useMMLspacing){var t=this.texSpacing();if(t!==""){this.CHTML.L=this.CHTMLlength2em(t);s.className+=" "+a.SPACECLASS[t]}}},CHTMLhandleText:function(t,u,s){if(t.firstChild&&!this.CHTML){this.CHTML=a.BBOX.empty()}this.CHTML=a.handleText(t,u,s,this.CHTML)},CHTMLgetVariant:function(){var s=this.getValues("mathvariant","fontfamily","fontweight","fontstyle"),u;s.hasVariant=this.Get("mathvariant",true);if(this.removedStyles){u=this.removedStyles;if(u.fontFamily){s.family=u.fontFamily}if(u.fontWeight){s.weight=u.fontWeight}if(u.fontStyle){s.style=u.fontStyle}}if(!s.hasVariant){if(s.fontfamily){s.family=s.fontfamily}if(s.fontweight){s.weight=s.fontweight}if(s.fontstyle){s.style=s.fontstyle}}if(s.weight&&s.weight.match(/^\d+$/)){s.weight=(parseInt(s.weight)>600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){t*=a.em/a.outerEm;f.Insert(w,({left:{marginLeft:a.Em(t)},right:{marginRight:a.Em(-t)},center:{marginLeft:a.Em(t),marginRight:a.Em(-t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,u,{childOptions:{variant:t.mathvariant,remap:this.remap,remapchars:t.remapchars}})}if(!a.isChar(t.text)){delete this.CHTML.skew}else{if(this.CHTML.w===0&&this.CHTML.l<0){this.CHTMLfixCombiningChar(v)}}if(t.largeop){this.CHTMLcenterOp(v)}}this.CHTML.clean();this.CHTMLhandleBBox(v);this.CHTMLhandleSpace(v);this.CHTMLhandleColor(v);return v},CHTMLhandleSpace:function(v){if(this.hasMMLspacing()){var t=this.getValues("scriptlevel","lspace","rspace");t.lspace=Math.max(0,this.CHTMLlength2em(t.lspace));t.rspace=Math.max(0,this.CHTMLlength2em(t.rspace));if(t.scriptlevel>0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.h<a.TEX.x_height){C.h+=a.TEX.x_height-F.h;u.style.marginTop=a.Em(a.TEX.x_height-Math.max(F.h,0.35));F.h=a.TEX.x_height}var A=u,D=0;if(F.ic){D=1.3*F.ic+0.05}if(this.data[this.over]){A=this.CHTMLaddOverscript(z,x,E,D,u,t)}if(this.data[this.under]){this.CHTMLaddUnderscript(B,x,E,D,w,A,t)}else{if(!t){w.appendChild(A)}}this.CHTMLplaceBoxes(u,B,z,E,x);return w},CHTMLgetBBoxes:function(A,x,v){var y,t=this.data.length,z,u=-i,s=u;for(y=0;y<t;y++){A[y]=this.CHTMLbboxFor(y);A[y].x=A[y].y=0;if(this.data[y]){A[y].stretch=this.data[y].CHTMLcanStretch("Horizontal")}z=(y===this.base?1:A[y].rscale);if(y!==this.base){delete A[y].L;delete A[y].R}s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)));if(!A[y].stretch&&s>u){u=s}}if(u===-i){u=s}for(y=0;y<t;y++){if(A[y].stretch){z=(y===this.base?1:A[y].rscale);A[y]=this.data[y].CHTMLstretchH(x[y].firstChild,u/z);A[y].x=A[y].y=0;s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)))}}if(!A[this.base]){A[this.base]=a.BBOX.empty()}return s},CHTMLaddOverscript:function(B,z,F,E,t,s){var D=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var A=z[this.over],G=z[this.base],u=A.rscale;if(!s){var C=a.Element("mjx-stack");C.appendChild(B);C.appendChild(t)}if(A.D){A.d=A.D}if(A.d<0){B.firstChild.style.verticalAlign="top";B.style.height=a.Em(A.h+A.d)}A.x=0;if(F.accent){if(A.w<0.001){A.x+=(A.r-A.l)/2}v=a.TEX.rule_thickness;w=0;if(G.skew){A.x+=u*G.skew;D.skew=u*G.skew;if(A.x+u*A.w>D.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y<v;y++){x=(y===this.base?1:z[y].rscale);var C=x*(z[y].w+(z[y].L||0)+(z[y].R||0));z[y].x+={left:0,center:(t-C)/2,right:t-C}[E.align];if(z[y].x<F){F=z[y].x}}for(y=0;y<v;y++){if(this.data[y]){x=(y===this.base?1:z[y].rscale);if(z[y].x-F){var u=(y===this.base?s:y===this.over?A:B);u.style.paddingLeft=a.Em((z[y].x-F)/x)}D.combine(z[y],z[y].x-F,z[y].y)}}this.CHTML=D},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-op","mjx-under","mjx-over"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.msubsup.Augment({toCommonHTML:function(S,C){var A=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");var D,H,z;if(C&&C.stretch){if(this.data[this.base]){D=a.getNode(S,"mjx-base")}if(this.data[this.sub]){H=a.getNode(S,"mjx-sub")}if(this.data[this.sup]){z=a.getNode(S,"mjx-sup")}E=a.getNode(S,"mjx-stack")}else{var K=["mjx-base","mjx-sub","mjx-sup"];if(this.sup===1){K[1]=K[2]}S=this.CHTMLdefaultNode(S,{childNodes:K,noBBox:true,forceChild:true,minChildren:3});D=S.childNodes[this.base];H=S.childNodes[this.sub];z=S.childNodes[this.sup];if(!this.CHTMLnotEmpty(this.data[this.sub])){S.removeChild(H);H=null}if(!this.CHTMLnotEmpty(this.data[this.sup])){S.removeChild(z);z=null}if(S.childNodes.length===3){var E=a.addElement(S,"mjx-stack");E.appendChild(z);E.appendChild(H)}}var F=[],G=a.BBOX.empty(this.CHTML);for(var V=0,T=this.data.length;V<T;V++){F[V]=this.CHTMLbboxFor(V)}var y=F[this.base]||a.BBOX.empty(),P=F[this.sub],W=F[this.sup];var B=(H?P.rscale:1),w=(z?W.rscale:1);G.combine(y,0,0);var X=a.TEX.x_height,N=a.TEX.scriptspace;var Q=a.TEX.sup_drop*w,O=a.TEX.sub_drop*B;var L=y.h-Q,J=y.d+O,Y=0,R;if(y.ic){G.w-=y.ic;D.style.marginRight=a.Em(-y.ic);Y=1.3*y.ic+0.05}var U=this.data[this.base];if(U){if((U.type==="mrow"||U.type==="mstyle")&&U.data.length===1){U=U.data[0]}if(U.type==="mi"||U.type==="mo"){if(a.isChar(U.data.join(""))&&y.rscale===1&&!y.sH&&!U.Get("largeop")){L=J=0}}}A.subscriptshift=(A.subscriptshift===""?0:this.CHTMLlength2em(A.subscriptshift));A.superscriptshift=(A.superscriptshift===""?0:this.CHTMLlength2em(A.superscriptshift));var I=G.w;if(H){P.w+=N}if(z){W.w+=N}if(!z){if(H){J=Math.max(J,a.TEX.sub1,B*P.h-(4/5)*X,A.subscriptshift);H.style.verticalAlign=a.Em(-J/B);H.style.paddingRight=a.Em(N/B);G.combine(P,I,-J)}}else{if(!H){R=a.TEX[(A.displaystyle?"sup1":(A.texprimestyle?"sup3":"sup2"))];L=Math.max(L,R,w*W.d+(1/4)*X,A.superscriptshift);z.style.verticalAlign=a.Em(L/w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);G.combine(W,I+Y,L)}else{J=Math.max(J,a.TEX.sub2);var M=a.TEX.rule_thickness;if((L-w*W.d)-(B*P.h-J)<3*M){J=3*M-L+w*W.d+B*P.h;Q=(4/5)*X-(L-w*W.d);if(Q>0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(K<L){I+=(L-K)/2;G+=(L-K)/2}}else{L=Math.max((O?2:0)*M+J,J/2+1.5*M);J=Math.max(J,M);K=(I-P.d*F)-(T+J/2);if(K<L){I+=(L-K)}K=(T-J/2)-(B.h*z-G);if(K<L){G+=(L-K)}P.L=P.R=B.L=B.R=0.1;var A=a.addElement(y,"mjx-line",{style:{"border-bottom":a.Px(J*C.scale,1)+" solid",top:a.Em(-J/2-T)}})}C.combine(P,0,I);C.combine(B,0,-G);C.clean();y.style.width=a.Em(C.w);D.style.width=a.Em(C.w/F);w.style.width=a.Em(C.w/z);if(A){A.style.width=y.style.width}D.style.top=a.Em(-C.h/F);w.style.bottom=a.Em(-C.d/z);a.addElement(N,"mjx-vsize",{style:{height:a.Em(C.h+C.d),verticalAlign:a.Em(-C.d)}})}if(!this.texWithDelims){var Q=a.TEX.nulldelimiterspace;y.style.padding="0 "+a.Em(Q);C.l+=Q;C.r+=Q;C.w+=2*Q}return N},CHTMLcanStretch:function(s){return false}});d.msqrt.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w,{childNodes:["mjx-box","mjx-root"],forceChild:true,noBBox:true});var v=w.firstChild||a.Element("mjx-box");var E=a.addElement(w,"mjx-box");E.appendChild(v);var F=this.CHTMLbboxFor(0),C=a.BBOX.empty(this.CHTML);var G=a.TEX.rule_thickness,y=a.TEX.surd_height,u=G,s,D;if(this.Get("displaystyle")){u=a.TEX.x_height}s=G+u/4;D=F.h+F.d+s+G;var z=a.Element("mjx-surd");E.insertBefore(z,v);var A=a.createDelimiter(z,8730,[D-0.04,D]);if(A.h+A.d>D){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,s)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9)+s.offset+Math.max(0,u.d-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,"sep"+u,{});this.CHTMLaddChild(v,u,{})}this.CHTMLaddChild(v,"close",{});var t=this.CHTML.h,w=this.CHTML.d;this.CHTMLstretchChildV("open",t,w);for(u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV("sep"+u,t,w);this.CHTMLstretchChildV(u,t,w)}this.CHTMLstretchChildV("close",t,w);this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mrow.Augment({toCommonHTML:function(w,t){t=t||{};w=this.CHTMLdefaultNode(w);var z=this.CHTML,v=z.h,x=z.d,y;for(var u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV(u,v,x);if(this.data[u]&&this.data[u].CHTML&&this.data[u].CHTML.w<0){y=true}}if(this.CHTMLlineBreaks()){this.CHTMLmultiline(w);if(t.autowidth){w.style.width=""}}else{if(y&&z.w){w.style.width=a.Em(Math.max(0,z.w))}if(z.w<0){w.style.marginRight=a.Em(z.w)}}return w},CHTMLlineBreaks:function(){if(!this.parent.linebreakContainer){return false}return(c.automatic&&this.CHTML.w>a.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML);
-MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;q<n;q++){var B=this.data[q],A=(B.type==="mtr"?0:c);y[q]=r;h[q]=t;for(var p=A,v=B.data.length+A;p<v;p++){if(l[p]==null){l[p]=-f;if(p>w){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;q<n;q++){y[q]=x;h[q]=o}}k.H=y;k.D=h;k.W=l,k.J=w},CHTMLgetAttributes:function(v,j){var l=d(v.columnspacing),x=d(v.rowspacing),t=d(v.columnalign),r=d(v.rowalign),k=d(v.columnlines),w=d(v.rowlines),o=d(v.columnwidth),n=[],q,p,u=j.J,s=j.rows.length-1;for(q=0,p=l.length;q<p;q++){l[q]=this.CHTMLlength2em(l[q])}for(q=0,p=x.length;q<p;q++){x[q]=this.CHTMLlength2em(x[q])}while(l.length<u){l.push(l[l.length-1])}while(t.length<=u){t.push(t[t.length-1])}while(k.length<u){k.push(k[k.length-1])}while(o.length<=u){o.push(o[o.length-1])}while(x.length<s){x.push(x[x.length-1])}while(r.length<=s){r.push(r[r.length-1])}while(w.length<s){w.push(w[w.length-1])}t[c]=(v.side.substr(0,1)==="l"?"left":"right");for(q=0;q<=s;q++){var y=this.data[q];n[q]=[];if(y.rowalign){r[q]=y.rowalign}if(y.columnalign){n[q]=d(y.columnalign);while(n[q].length<=u){n[q].push(n[q][n[q].length-1])}}}var h=d(v.framespacing);if(h.length!=2){h=d(this.defaults.framespacing)}h[0]=Math.max(0,this.CHTMLlength2em(h[0]));h[1]=Math.max(0,this.CHTMLlength2em(h[1]));if(v.columnlines.replace(/none/g,"").replace(/ /g,"")!==""||v.rowlines.replace(/none/g,"").replace(/ /g,"")!==""){v.fspace=true}if(v.frame===b.LINES.NONE){delete v.frame}else{v.fspace=true}if(v.frame){h[0]=Math.max(0,h[0]);h[1]=Math.max(0,h[1])}if(v.fspace){l[u]=h[0];x[s]=h[1]}else{l[u]=x[s]=0}k[u]=w[s]=b.LINES.NONE;j.CSPACE=l;j.RSPACE=x;j.CALIGN=t;j.RALIGN=r;j.CLINES=k;j.RLINES=w;j.CWIDTH=o;j.RCALIGN=n;j.FSPACE=h},CHTMLadjustCells:function(l,r){var S=r.rows,W=r.CSPACE,o=r.CLINES,x=r.RSPACE,F=r.RLINES,V=r.CALIGN,q=r.RALIGN,G=r.RCALIGN;W[r.J]*=2;x[S.length-1]*=2;var p="0",I,t,z,N,n,P,U=0;if(l.fspace){U=r.FSPACE[1];p=e.Em(r.FSPACE[1])}r.RHD=[];r.RH=[];for(var Q=0,K=S.length;Q<K;Q++){var w=S[Q],v=this.data[Q];I=x[Q]/2;N=null;z="0";if(F[Q]!==b.LINES.NONE&&F[Q]!==""){N=r.t+" "+F[Q]}if(N||(o[O]!==b.LINES.NONE&&o[O]!=="")){while(w.length<=r.J){w.push(e.addElement(w.node,"mjx-mtd",null,[["span"]]))}}r.RH[Q]=U+r.H[Q];U=Math.max(0,I);r.RHD[Q]=r.RH[Q]+U+r.D[Q];I=e.Em(U);if(l.fspace){z=e.Em(r.FSPACE[0])}for(var O=0,y=w.length;O<y;O++){var E=(v.type==="mtr"?0:c);var J=v.data[O-E]||{CHTML:e.BBOX.zero()};var k=w[O].style;n=J.CHTML;t=W[O]/2;if(o[O]!==b.LINES.NONE){k.borderRight=r.t+" "+o[O];t-=1/e.em/2}t=e.Em(Math.max(0,t));k.padding=p+" "+t+" 0px "+z;if(N){k.borderBottom=N}z=t;P=(J.rowalign||(this.data[Q]||{}).rowalign||q[Q]);var A=Math.max(1,n.h),C=Math.max(0.2,n.d),h=(r.H[Q]+r.D[Q])-(A+C),u=w[O].firstChild.style;if(P===b.ALIGN.TOP){if(h){u.marginBottom=e.Em(h)}k.verticalAlign="top"}else{if(P===b.ALIGN.BOTTOM){k.verticalAlign="bottom";if(h){u.marginTop=e.Em(h)}}else{if(P===b.ALIGN.CENTER){if(h){u.marginTop=u.marginBottom=e.Em(h/2)}k.verticalAlign="middle"}else{if(A!==r.H[Q]){u.marginTop=e.Em(r.H[Q]-A)}}}}P=(J.columnalign||G[Q][O]||V[O]);if(P!==b.ALIGN.CENTER){k.textAlign=P}}w.node.style.height=e.Em(r.RHD[Q]);p=I}W[r.J]/=2;x[S.length-1]/=2},CHTMLalignV:function(w,k,o){var m,t=k.rows.length,v=k.H,j=k.D,x=k.RSPACE;if(typeof(w.align)!=="string"){w.align=String(w.align)}if(w.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){m=parseInt(RegExp.$3||"0");w.align=RegExp.$1;if(m<0){m+=k.rows.length+1}if(m>t||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q<t;q++){var r=v[q],s=j[q];p+=r+s+x[q];if(m){if(q===m-1){l+=({top:r+s,bottom:0,center:(r+s)/2,baseline:s,axis:u+s})[w.align]+x[q]}if(q>=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;H<B;H++){F=h[H];v=Math.max(o[F],this.CHTMLlength2em(I[F],G));k+=v-o[F];o[F]=v;t[F].style.width=e.Em(v)}E+=k}if(!C){D=s}if(G>E&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;H<B;H++){F=D[H];o[F]+=x;t[F].style.width=e.Em(o[F])}E=G}}}o[c]=r.W[c];r.W=o;r.R=E;if(y){A.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=e.Em(E);A.firstChild.style.width=l.width;A.firstChild.style.margin="auto"}},CHTMLstretchCells:function(x,l){var y=l.rows,w=l.H,k=l.D,m=l.W,t=l.J,s=y.length-1;for(var o=0;o<=s;o++){var z=y[o],q=this.data[o];var p=w[o],r=k[o];for(var n=0;n<=t;n++){var v=z[n],u=q.data[n];if(!u){continue}if(u.CHTML.stretch==="V"){u.CHTMLstretchV(p,r)}else{if(u.CHTML.stretch==="H"){u.CHTMLstretchH(v,m[n])}}}}},CHTMLaddLabels:function(h,k,w,B){var q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(q.indentalignfirst!==b.INDENTALIGN.INDENTALIGN){q.indentalign=q.indentalignfirst}if(q.indentalign===b.INDENTALIGN.AUTO){q.indentalign=a.displayAlign}if(q.indentshiftfirst!==b.INDENTSHIFT.INDENTSHIFT){q.indentshift=q.indentshiftfirst}if(q.indentshift==="auto"){q.indentshift="0"}var z=this.CHTMLlength2em(q.indentshift,e.cwidth);var A=this.CHTMLlength2em(h.minlabelspacing,0.8);var p=A+k.W[c],y=0,D=k.R;var n=this.CHTMLlength2em(a.displayIndent,e.cwidth);var t=(k.CALIGN[c]===b.INDENTALIGN.RIGHT?-1:1);if(q.indentalign===b.INDENTALIGN.CENTER){D+=2*(p-t*(z+n));z+=n}else{if(k.CALIGN[c]===q.indentalign){if(n<0){y=t*n;n=0}z+=t*n;if(p>t*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x<v;x++){if(l[x]&&this.data[x].data[0]){C.appendChild(l[x]);var r=this.data[x].data[0].CHTML;j=k.RH[x]-Math.max(1,r.h);if(j){l[x].firstChild.firstChild.style.marginTop=e.Em(j)}l[x].style.height=e.Em(k.RHD[x])}else{e.addElement(C,"mjx-label",{style:{height:e.Em(k.RHD[x])}})}}w.style.width=this.CHTML.pwidth="100%";w.style.minWidth=this.CHTML.mwidth=e.Em(Math.max(0,D))}});b.mtr.Augment({toCommonHTML:function(l,j){l=this.CHTMLcreateNode(l);this.CHTMLhandleStyle(l);this.CHTMLhandleScale(l);if(!j){j={rows:[],labels:[]}}var n=[];j.rows.push(n);n.node=l;j.labels.push(null);for(var k=0,h=this.data.length;k<h;k++){n.push(this.CHTMLaddChild(l,k,j))}this.CHTMLhandleColor(l);return l}});b.mlabeledtr.Augment({toCommonHTML:function(n,k){n=this.CHTMLcreateNode(n);this.CHTMLhandleStyle(n);this.CHTMLhandleScale(n);if(!k){k={rows:[],labels:[]}}var o=[];k.rows.push(o);o.node=n;var j=e.Element("mjx-label");k.labels.push(j);this.CHTMLaddChild(j,0,k);if(this.data[0]){k.labeled=true}for(var l=1,h=this.data.length;l<h;l++){o.push(this.CHTMLaddChild(n,l,k))}this.CHTMLhandleColor(n);return n}});b.mtd.Augment({toCommonHTML:function(l,i){l=this.CHTMLdefaultNode(l,i);e.addElement(l.firstChild,"mjx-strut");if(this.isEmbellished()){var m=this.CoreMO(),h=this.CHTML;if(m.CHTMLcanStretch("Vertical")){h.stretch="V"}else{if(m.CHTMLcanStretch("Horizontal")){h.stretch="H"}}if(h.stretch){var j=m.Get("minsize",true);if(j){if(h.stretch==="V"){var n=h.h+h.d;if(n){var k=this.CHTMLlength2em(j,n)/n;if(k>1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")});
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+(function(o,f,m,a){var d;var g=MathJax.Object.isArray;var e,q,h;var k=1,l=0.1,j=0.025,b=0.025;var p={".mjx-chtml":{display:"inline-block","line-height":0,"text-indent":0,"text-align":"left","text-transform":"none","font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","letter-spacing":"normal","word-wrap":"normal","word-spacing":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,margin:0,padding:"1px 0"},".MJXc-display":{display:"block","text-align":"center",margin:"1em 0",padding:0},".mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex]":{display:"inline-table"},".mjx-full-width":{"text-align":"center",display:"table-cell!important",width:"10000em"},".mjx-math":{display:"inline-block","border-collapse":"separate","border-spacing":0},".mjx-math *":{display:"inline-block","-webkit-box-sizing":"content-box!important","-moz-box-sizing":"content-box!important","box-sizing":"content-box!important","text-align":"left"},".mjx-numerator":{display:"block","text-align":"center"},".mjx-denominator":{display:"block","text-align":"center"},".MJXc-stacked":{height:0,position:"relative"},".MJXc-stacked > *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-surd + .mjx-box":{display:"inline-flex"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor",overflow:"visible"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v<s;v++){var y=x.childNodes[v];if(y){if(u.test(y.className)){return y}if(y.id===""){t.push(y)}}}x=t.shift()}return null},preTranslate:function(w){var v=w.jax[this.id],E,B=v.length,H,z,C,F,t,G,s,I;var y=100000,x=false,D=0,u=c.automatic,A=c.width;if(u){x=!!A.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/);if(x){A=A.replace(/\s*container\s*/,"")}else{y=this.defaultWidth}if(A===""){A="100%"}}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}z=H.previousSibling;if(z&&z.className&&String(z.className).substr(0,9)==="mjx-chtml"){z.parentNode.removeChild(z)}if(H.MathJax.preview){H.MathJax.preview.style.display="none"}t=H.MathJax.elementJax;if(!t){continue}t.CHTML={display:(t.root.Get("display")==="block"),preview:(t.CHTML||{}).preview};C=a.Element("mjx-chtml",{id:t.inputID+"-Frame",className:"MathJax_CHTML",isMathJax:true,jaxID:this.id,oncontextmenu:e.Menu,onmousedown:e.Mousedown,onmouseover:e.Mouseover,onmouseout:e.Mouseout,onmousemove:e.Mousemove,onclick:e.Click,ondblclick:e.DblClick,onkeydown:e.Keydown,tabIndex:f.getTabOrder(t)});if(t.CHTML.display){var J=a.Element("mjx-chtml",{className:"MJXc-display",isMathJax:false});J.appendChild(C);C=J}if(f.Browser.noContextMenu){C.ontouchstart=q.start;C.ontouchend=q.end}C.className+=" MJXc-processing";H.parentNode.insertBefore(C,H);F=this.TestSpan.cloneNode(true);F.className+=" mjx-test-"+(t.CHTML.display?"display":"inline");H.parentNode.insertBefore(F,H)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}F=H.previousSibling;t=H.MathJax.elementJax;if(!t){continue}s=a.getFontSize(F);G=F.childNodes[1].offsetHeight/60;D=Math.max(0,t.CHTML.display?F.lastChild.offsetWidth-1:F.lastChild.offsetLeft-F.firstChild.offsetLeft-2);if(G===0||G==="NaN"){G=this.defaultEx;D=this.defaultWidth}if(D===0&&!t.CHTML.display){D=this.defaultWidth}if(x){y=D}I=(this.config.matchFontHeight?G/this.TEX.x_height/s:1);I=Math.floor(Math.max(this.config.minScaleAdjust/100,I)*this.config.scale);t.CHTML.scale=I/100;t.CHTML.fontSize=I+"%";t.CHTML.outerEm=s;t.CHTML.em=this.em=s*I/100;t.CHTML.ex=G;t.CHTML.cwidth=D/this.em;t.CHTML.lineWidth=(u?this.length2em(A,y/this.em,1):y)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}t=H.MathJax.elementJax;if(!t){continue}H.parentNode.removeChild(H.previousSibling);if(H.MathJax.preview){H.MathJax.preview.style.display=""}}w.CHTMLeqn=w.CHTMLlast=0;w.CHTMLi=-1;w.CHTMLchunk=this.config.EqnChunk;w.CHTMLdelay=false},Translate:function(t,x){if(!t.parentNode){return}if(x.CHTMLdelay){x.CHTMLdelay=false;f.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var s=t.MathJax.elementJax,w=s.root,v=document.getElementById(s.inputID+"-Frame");if(!v){return}this.getMetrics(s);if(this.scale!==1){v.style.fontSize=s.CHTML.fontSize}this.initCHTML(w,v);this.savePreview(t);this.CHTMLnode=v;try{w.setTeXclass();w.toCommonHTML(v)}catch(u){while(v.firstChild){v.removeChild(v.firstChild)}delete this.CHTMLnode;this.restorePreview(t);throw u}delete this.CHTMLnode;this.restorePreview(t);if(s.CHTML.display){v=v.parentNode}v.className=v.className.replace(/ [^ ]+$/,"");v.className+=" MJXc-processed";if(t.MathJax.preview){s.CHTML.preview=t.MathJax.preview;delete t.MathJax.preview}x.CHTMLeqn+=(x.i-x.CHTMLi);x.CHTMLi=x.i;if(x.CHTMLeqn>=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;v<s;v++){var u=t[v];if(u&&u.MathJax.elementJax){u.previousSibling.className=u.previousSibling.className.replace(/ [^ ]+$/,"");var w=u.MathJax.elementJax.CHTML;if(w.preview){w.preview.innerHTML="";u.MathJax.preview=w.preview;delete w.preview}}}x.CHTMLlast=x.CHTMLeqn},getJaxFromMath:function(s){if(s.parentNode.className.match(/MJXc-display/)){s=s.parentNode}do{s=s.nextSibling}while(s&&s.nodeName.toLowerCase()!=="script");return f.getJaxFor(s)},getHoverSpan:function(s,t){return s.root.CHTMLnodeElement()},getHoverBBox:function(s,v,w){var x=s.root.CHTML,u=s.CHTML.outerEm;var t={w:x.w*u,h:x.h*u,d:x.d*u};if(x.width){t.width=x.width}return t},Zoom:function(u,B,A,s,y){this.getMetrics(u);var v=a.addElement(B,"mjx-chtml",{style:{"font-size":Math.floor(a.scale*100)+"%"},isMathJax:false});a.CHTMLnode=v;this.idPostfix="-zoom";u.root.toCommonHTML(v);this.idPostfix="";var t=v.style,C=u.root.CHTML;if(C.t>C.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u<z;u++){if(t[u].name==="alpha"&&w.noLowerCase){continue}var x=w["offset"+t[u].offset];if(x&&v>=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i<s.length){y=this.getUnicode(s);var u=this.getCharList(t,y);if(u){v.push.apply(v,u)}}}else{if(t.cache[y]){v=t.cache[y]}else{t.cache[y]=v=this.lookupChar(t,y,w)}}return v},lookupChar:function(v,z,x){var y=v;while(v){for(var u=0,s=v.fonts.length;u<s;u++){var t=this.FONTDATA.FONTS[v.fonts[u]];if(typeof(t)==="string"){this.loadFont(t)}var w=t[z];if(w){this.fixChar(w,z);if(w[5].space){return[{type:"space",w:w[2],font:t}]}return[{type:"char",font:t,n:z}]}else{if(t.Extra){this.findBlock(t,z)}}}v=this.FONTDATA.VARIANT[v.chain];if(v&&v.remap&&v.remap[z]&&x++<n){return this.remapChar(v,z,x)}}return[this.unknownChar(y,z)]},fixChar:function(s,t){if(s.length===5){s[5]={}}if(s.c==null){s[0]/=1000;s[1]/=1000;s[2]/=1000;s[3]/=1000;s[4]/=1000;s.c=this.unicodeChar(t)}return s},findBlock:function(u,y){var t=u.Extra,v=u.file,x;for(var w=0,s=t.length;w<s;w++){if(typeof(t[w])==="number"){if(y===t[w]){x=v;break}}else{if(y<t[w][0]){return}if(y<=t[w][1]){x=v;break}}}if(x){delete u.Extra;this.loadFont(v)}},unknownChar:function(s,v){f.signal.Post(["CommonHTML Jax - unknown char",v,s]);var u="";if(s.bold){u+="B"}if(s.italic){u+="I"}var t=this.FONTDATA.UNKNOWN[u||"R"];if(!t[v]){this.getUnknownChar(t,v)}return{type:"unknown",n:v,font:t}},getUnknownChar:function(t,v){var u=this.unicodeChar(v);var s=this.getHDW(u,t.className);t[v]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];t[v].c=u},styledText:function(t,w){f.signal.Post(["CommonHTML Jax - styled text",w,t]);var u=t.style;var x="_"+(u["font-family"]||t.className||"");if(u["font-weight"]){x+="_"+u["font-weight"]}if(u["font-style"]){x+="_"+u["font-style"]}if(!this.STYLEDTEXT){this.STYLEDTEXT={}}if(!this.STYLEDTEXT[x]){this.STYLEDTEXT[x]={className:t.className||""}}var v=this.STYLEDTEXT[x];if(!v["_"+w]){var s=this.getHDW(w,t.className||"",u);v["_"+w]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];v["_"+w].c=w}return{type:"unknown",n:"_"+w,font:v,style:u,rscale:t.rscale}},getHDW:function(B,u,F){var t=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B]]]);var s=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B,["mjx-box"]]]]);t.firstChild.style.fontSize=s.firstChild.style.fontSize="";var v=5*a.em;var E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;a.CHTMLnode.removeChild(t);a.CHTMLnode.removeChild(s);if(C===0){v=5*a.defaultEm;var A=document.body.appendChild(document.createElement("div"));A.appendChild(t);A.appendChild(s);E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;document.body.removeChild(A)}var z=(C-1000)/v,D=x/v,y=E/v-z;return{h:y,d:z,w:D}},addCharList:function(v,x,y){var w={text:"",className:null,a:0};for(var t=0,s=x.length;t<s;t++){var u=x[t];if(this.charList[u.type]){(this.charList[u.type])(u,v,y,w,s)}}if(w.text!==""){if(v.childNodes.length){this.charList.flushText(v,w)}else{m.addText(v,w.text);if(v.className){v.className+=" "+w.className}else{v.className=w.className}}}y.b=(w.flushed?0:y.a)},charList:{"char":function(D,x,B,u,y){var w=D.font,A=(w.remapCombining||{})[D.n];if(w.className===u.className){A=null}else{if(u.className||(A&&u.text!=="")){this.flushText(x,u)}}if(!u.a){u.a=w.centerline/1000}if(u.a>(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.h<t[0]+j){B.t=B.h=t[0]+j}if(B.d<t[1]+b){B.b=B.d=t[1]+b}if(B.l>B.w+t[3]){B.l=B.w+t[3]}if(B.r<B.w+t[4]){B.r=B.w+t[4]}B.w+=t[2]*(D.rscale||1);if(y==1&&w.skew&&w.skew[D.n]){B.skew=w.skew[D.n]}if(t[5]&&t[5].rfix){this.flushText(x,u).style.marginRight=a.Em(t[5].rfix/1000)}if(A){var z=this.flushText(x,u);var s=(v[D.n]||w[D.n])[4]-(t[4]-t[2]);z.style.marginLeft=a.Em(-t[2]-s);if(s<0){z.style.marginRight=a.Em(-s)}}},space:function(t,s,v,u){if(t.w){if(u.text===""){u.className=t.font.className}this.flushText(s,u).style.marginRight=a.Em(t.w);v.w+=t.w}},unknown:function(t,s,w,u){(this["char"])(t,s,w,u,0);var v=t.font[t.n];if(v[5].a){u.a=v[5].a;if(w.a==null||u.a>w.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i<s.length){var y=this.getUnicode(s);v.push.apply(v,this.getCharList(t,y))}}if(v.length){this.addCharList(u.firstChild,v,w)}w.clean();if(w.d<0){w.D=w.d;w.d=0}if(w.h-w.a){u.firstChild.style[w.h-w.a<0?"marginTop":"paddingTop"]=this.EmRounded(w.h-w.a)}if(w.d>-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y<w;y++){if(t.HW[y][0]>=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&x<J*P.min){x=J*P.min}if(x>J){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&s<y*P.min){s=y*P.min}Q.w=Q.r=s;if(s>y){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v<s;v++){if(t[v]){t[v].style.paddingTop=a.Em(u-w[v].a);t[v].style.paddingBottom=a.Em(y+w[v].a);t[v].style.marginTop=t[v].style.marginBottom=0}}},createChar:function(u,y,w,t){var B="",x={fonts:[y[1]],noRemap:true,cache:{}};if(t&&t===d.VARIANT.BOLD&&this.FONTDATA.FONTS[y[1]+"-Bold"]){x.fonts=[y[1]+"-Bold",y[1]]}if(typeof(y[1])!=="string"){x=y[1]}if(y[0] instanceof Array){for(var z=0,v=y[0].length;z<v;z++){B+=String.fromCharCode(y[0][z])}}else{B=String.fromCharCode(y[0])}if(y[4]){w*=y[4]}var A=this.handleText(u,B,x),s=u.firstChild.style;if(w!==1){s.fontSize=this.Percent(w)}if(y[2]){s.paddingLeft=this.Em(y[2]);A.w+=y[2];A.r+=y[2]}if(y[3]){s.verticalAlign=this.Em(y[3]);A.h+=y[3];if(A.h<0){A.h=0}}if(y[5]){s.marginTop=this.Em(y[5]);A.h+=y[5];A.t+=y[5]}if(y[6]){s.marginBottom=this.Em(y[6]);A.d+=y[6];A.b+=y[6]}return A},length2em:function(w,u,x){if(typeof(w)!=="string"){w=w.toString()}if(w===""){return""}if(w===d.SIZE.NORMAL){return 1}if(w===d.SIZE.BIG){return 2}if(w===d.SIZE.SMALL){return 0.71}if(this.MATHSPACE[w]){return this.MATHSPACE[w]}var t=w.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var s=parseFloat(t[1]||"1"),v=t[2];if(u==null){u=1}if(!x){x=1}x=1/this.em/x;if(v==="em"){return s}if(v==="ex"){return s*this.TEX.x_height}if(v==="%"){return s/100*u}if(v==="px"){return s*x}if(v==="pt"){return s/10}if(v==="pc"){return s*1.2}x*=this.pxPerInch;if(v==="in"){return s*x}if(v==="cm"){return s*x/2.54}if(v==="mm"){return s*x/25.4}if(v==="mu"){return s/18}return s*u},thickness2em:function(s,t){var u=a.TEX.rule_thickness/(t||1);if(s===d.LINETHICKNESS.MEDIUM){return u}if(s===d.LINETHICKNESS.THIN){return 0.67*u}if(s===d.LINETHICKNESS.THICK){return 1.67*u}return this.length2em(s,u,t)},Em:function(s){if(Math.abs(s)<0.001){return"0"}return(s.toFixed(3).replace(/\.?0+$/,""))+"em"},EmRounded:function(s){s=(Math.round(s*a.em)+0.05)/a.em;if(Math.abs(s)<0.0006){return"0em"}return s.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(s){return parseFloat(s)},Px:function(s,t){s*=this.em;if(t&&s<t){s=t}if(Math.abs(s)<0.1){return"0"}return s.toFixed(1).replace(/\.0$/,"")+"px"},Percent:function(s){return(100*s).toFixed(1).replace(/\.?0+$/,"")+"%"},Transform:function(v,t,s){var u=v.style;u.transform=u.WebkitTransform=u.MozTransform=u["-ms-transform"]=t;if(s){u.transformOrigin=u.WebkitTransformOrigin=u.MozTransformOrigin=u["-ms-transform-origin"]=s}},arrayEntry:function(s,t){return s[Math.max(0,Math.min(t,s.length-1))]},removeStyles:["fontSize","fontFamily","fontWeight","fontStyle","fontVariant","font"]});a.BBOX=MathJax.Object.Subclass({Init:function(s){for(var t in s){if(s.hasOwnProperty(t)){this[t]=s[t]}}},clean:function(){if(this.h===-i){this.h=0}if(this.d===-i){this.d=0}if(this.l===i){this.l=0}if(this.r===-i){this.r=0}if(this.t===-i){this.t=0}if(this.b===-i){this.b=0}if(this.D&&this.d>0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}if(s+u*(t.w+(t.L||0)+(t.R||0))>this.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}this.w+=u*(t.w+(t.L||0)+(t.R||0));if(u*t.h>this.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]<u){this[v]=u}}}},{zero:function(){return a.BBOX({h:0,d:0,w:0,l:0,r:0,t:0,b:0,scale:1,rscale:1})},empty:function(s){if(!s){s=a.BBOX.zero()}s.h=s.d=s.r=s.t=s.b=-i;s.w=0;s.l=i;delete s.pwidth;return s},styleAdjust:[["borderTopWidth","h","t"],["borderRightWidth","w","r"],["borderBottomWidth","d","b"],["borderLeftWidth","w","l",0],["paddingTop","h","t"],["paddingRight","w","r"],["paddingBottom","d","b"],["paddingLeft","w","l",0],]});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){d=MathJax.ElementJax.mml;d.mbase.Augment({toCommonHTML:function(t,s){return this.CHTMLdefaultNode(t,s)},CHTMLmultiline:function(){d.mbase.CHTMLautoloadFile("multiline")},CHTMLdefaultNode:function(v,t){if(!t){t={}}v=this.CHTMLcreateNode(v);this.CHTML=a.BBOX.empty();this.CHTMLhandleStyle(v);if(this.isToken){this.CHTMLgetVariant()}this.CHTMLhandleScale(v);var s=Math.max((t.minChildren||0),this.data.length);for(var u=0;u<s;u++){this.CHTMLaddChild(v,u,t)}if(!t.noBBox){this.CHTML.clean()}this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v},CHTMLaddChild:function(x,t,s){var z=this.data[t],w;var u=s.childNodes;if(u instanceof Array){u=u[t]||"span"}if(z){if(u){x=a.addElement(x,u)}w=z.toCommonHTML(x,s.childOptions);if(u&&z.CHTML.rscale!==1){x.style.fontSize=x.firstChild.style.fontSize;x.firstChild.style.fontSize=""}if(!s.noBBox){var y=this.CHTML,v=z.CHTML;y.append(v);if(this.data.length===1){if(v.ic){y.ic=v.ic}if(v.skew){y.skew=v.skew}}else{delete y.ic;delete y.skew}if(v.pwidth){y.pwidth=v.pwidth}}}else{if(s.forceChild){w=a.addElement(x,(u||"mjx-box"))}}return w},CHTMLchildNode:function(t,s){t=t.childNodes[s];if(t.nodeName.toLowerCase()==="a"){t=t.firstChild}return t},CHTMLcoreNode:function(s){if(this.inferRow&&this.data[0]){return this.data[0].CHTMLcoreNode(s.firstChild)}return this.CHTMLchildNode(s,this.CoreIndex())},CHTMLstretchChildV:function(v,u,y){var x=this.data[v];if(x){var z=this.CHTML,t=x.CHTML;if(t.stretch||(t.stretch==null&&x.CHTMLcanStretch("Vertical",u,y))){var s=t.w;t=x.CHTMLstretchV(u,y);z.w+=t.w-s;if(z.w>z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t<s;t++){var x=z[t];if(y[x]==false||(!u[x]&&!y[x]&&w[x]==null&&typeof(v[x])==="undefined")){v.setAttribute(x,this.attr[x])}}}return v},CHTMLhandleScale:function(v){var x=1,u=this.parent,w=(u?u.CHTML.scale:1);var s=this.getValues("scriptlevel","fontsize");s.mathsize=this.Get("mathsize",null,!this.isToken);if(s.scriptlevel!==0){if(s.scriptlevel>2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x<s.scriptminsize){x=s.scriptminsize}}if(this.removedStyles&&this.removedStyles.fontSize&&!s.fontsize){s.fontsize=this.removedStyles.fontSize}if(s.fontsize&&!this.mathsize){s.mathsize=s.fontsize}if(s.mathsize!==1){x*=a.length2em(s.mathsize,1,1)}var t=this.CHTMLvariant;if(t&&t.style&&t.style["font-family"]){x*=(a.config.scale/100)/a.scale}this.CHTML.scale=x;w=this.CHTML.rscale=x/w;if(Math.abs(w-1)<0.001){w=1}if(v&&w!==1){v.style.fontSize=a.Percent(w)}return x},CHTMLhandleStyle:function(v){if(!this.style){return}var u=v.style;u.cssText=this.style;this.removedStyles={};for(var t=0,s=a.removeStyles.length;t<s;t++){var w=a.removeStyles[t];if(u[w]){this.removedStyles[w]=u[w];u[w]=""}}},CHTMLhandleBBox:function(w){var t=this.CHTML,v=w.style;if(this.data.length===1&&(this.data[0].CHTML||{}).pwidth){t.pwidth=this.data[0].CHTML.pwidth;t.mwidth=this.data[0].CHTML.mwidth;v.width="100%"}else{if(t.pwidth){t.mwidth=a.Em(t.w);v.width="100%"}else{if(t.w<0){v.width="0px";v.marginRight=a.Em(t.w)}}}if(!this.style){return}for(var u=0,s=a.BBOX.styleAdjust.length;u<s;u++){var x=a.BBOX.styleAdjust[u];if(x&&v[x[0]]){t.adjust(v[x[0]],x[1],x[2],x[3])}}},CHTMLhandleColor:function(s){if(this.mathcolor){s.style.color=this.mathcolor}else{if(this.color){s.style.color=this.color}}if(this.mathbackground){s.style.backgroundColor=this.mathbackground}else{if(this.background){s.style.backgroundColor=this.background}}},CHTMLhandleSpace:function(s){if(!this.useMMLspacing){var t=this.texSpacing();if(t!==""){this.CHTML.L=this.CHTMLlength2em(t);s.className+=" "+a.SPACECLASS[t]}}},CHTMLhandleText:function(t,u,s){if(t.firstChild&&!this.CHTML){this.CHTML=a.BBOX.empty()}this.CHTML=a.handleText(t,u,s,this.CHTML)},CHTMLgetVariant:function(){var s=this.getValues("mathvariant","fontfamily","fontweight","fontstyle"),u;s.hasVariant=this.Get("mathvariant",true);if(this.removedStyles){u=this.removedStyles;if(u.fontFamily){s.family=u.fontFamily}if(u.fontWeight){s.weight=u.fontWeight}if(u.fontStyle){s.style=u.fontStyle}}if(!s.hasVariant){if(s.fontfamily){s.family=s.fontfamily}if(s.fontweight){s.weight=s.fontweight}if(s.fontstyle){s.style=s.fontstyle}}if(s.weight&&s.weight.match(/^\d+$/)){s.weight=(parseInt(s.weight)>600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){if(u.indentalign==="right"){x.style.marginRight=a.Em(-t)}t*=a.em/a.outerEm;f.Insert(w,({left:{textIndent:a.Em(t)},right:{display:"flex",flexDirection:"row-reverse"},center:{textIndent:a.Em(2*t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,u,{childOptions:{variant:t.mathvariant,remap:this.remap,remapchars:t.remapchars}})}if(!a.isChar(t.text)){delete this.CHTML.skew}else{if(this.CHTML.w===0&&this.CHTML.l<0){this.CHTMLfixCombiningChar(v)}}if(t.largeop){this.CHTMLcenterOp(v)}}this.CHTML.clean();this.CHTMLhandleBBox(v);this.CHTMLhandleSpace(v);this.CHTMLhandleColor(v);return v},CHTMLhandleSpace:function(v){if(this.hasMMLspacing()){var t=this.getValues("scriptlevel","lspace","rspace");t.lspace=Math.max(0,this.CHTMLlength2em(t.lspace));t.rspace=Math.max(0,this.CHTMLlength2em(t.rspace));if(t.scriptlevel>0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.h<a.TEX.x_height){C.h+=a.TEX.x_height-F.h;u.style.marginTop=a.Em(a.TEX.x_height-Math.max(F.h,0.35));F.h=a.TEX.x_height}var A=u,D=0;if(F.ic){D=1.3*F.ic+0.05}if(this.data[this.over]){A=this.CHTMLaddOverscript(z,x,E,D,u,t)}if(this.data[this.under]){this.CHTMLaddUnderscript(B,x,E,D,w,A,t)}else{if(!t){w.appendChild(A)}}this.CHTMLplaceBoxes(u,B,z,E,x);return w},CHTMLgetBBoxes:function(A,x,v){var y,t=this.data.length,z,u=-i,s=u;for(y=0;y<t;y++){A[y]=this.CHTMLbboxFor(y);A[y].x=A[y].y=0;if(this.data[y]){A[y].stretch=this.data[y].CHTMLcanStretch("Horizontal")}z=(y===this.base?1:A[y].rscale);if(y!==this.base){delete A[y].L;delete A[y].R}s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)));if(!A[y].stretch&&s>u){u=s}}if(u===-i){u=s}for(y=0;y<t;y++){if(A[y].stretch){z=(y===this.base?1:A[y].rscale);A[y]=this.data[y].CHTMLstretchH(x[y].firstChild,u/z);A[y].x=A[y].y=0;s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)))}}if(!A[this.base]){A[this.base]=a.BBOX.empty()}return s},CHTMLaddOverscript:function(B,z,F,E,t,s){var D=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var A=z[this.over],G=z[this.base],u=A.rscale;if(!s){var C=a.Element("mjx-stack");C.appendChild(B);C.appendChild(t)}if(A.D){A.d=A.D}if(A.d<0){B.firstChild.style.verticalAlign="top";B.style.height=a.Em(A.h+A.d)}A.x=0;if(F.accent){if(A.w<0.001){A.x+=(A.r-A.l)/2}v=a.TEX.rule_thickness;w=0;if(G.skew){A.x+=u*G.skew;D.skew=u*G.skew;if(A.x+u*A.w>D.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y<v;y++){x=(y===this.base?1:z[y].rscale);var C=x*(z[y].w+(z[y].L||0)+(z[y].R||0));z[y].x+={left:0,center:(t-C)/2,right:t-C}[E.align];if(z[y].x<F){F=z[y].x}}for(y=0;y<v;y++){if(this.data[y]){x=(y===this.base?1:z[y].rscale);if(z[y].x-F){var u=(y===this.base?s:y===this.over?A:B);u.style.paddingLeft=a.Em((z[y].x-F)/x)}D.combine(z[y],z[y].x-F,z[y].y)}}this.CHTML=D},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-op","mjx-under","mjx-over"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.msubsup.Augment({toCommonHTML:function(S,C){var A=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");var D,H,z;if(C&&C.stretch){if(this.data[this.base]){D=a.getNode(S,"mjx-base")}if(this.data[this.sub]){H=a.getNode(S,"mjx-sub")}if(this.data[this.sup]){z=a.getNode(S,"mjx-sup")}E=a.getNode(S,"mjx-stack")}else{var K=["mjx-base","mjx-sub","mjx-sup"];if(this.sup===1){K[1]=K[2]}S=this.CHTMLdefaultNode(S,{childNodes:K,noBBox:true,forceChild:true,minChildren:3});D=S.childNodes[this.base];H=S.childNodes[this.sub];z=S.childNodes[this.sup];if(!this.CHTMLnotEmpty(this.data[this.sub])){S.removeChild(H);H=null}if(!this.CHTMLnotEmpty(this.data[this.sup])){S.removeChild(z);z=null}if(S.childNodes.length===3){var E=a.addElement(S,"mjx-stack");E.appendChild(z);E.appendChild(H)}}var F=[],G=a.BBOX.empty(this.CHTML);for(var V=0,T=this.data.length;V<T;V++){F[V]=this.CHTMLbboxFor(V)}var y=F[this.base]||a.BBOX.empty(),P=F[this.sub],W=F[this.sup];var B=(H?P.rscale:1),w=(z?W.rscale:1);G.combine(y,0,0);var X=a.TEX.x_height,N=a.TEX.scriptspace;var Q=a.TEX.sup_drop*w,O=a.TEX.sub_drop*B;var L=y.h-Q,J=y.d+O,Y=0,R;if(y.ic){G.w-=y.ic;D.style.marginRight=a.Em(-y.ic);Y=1.3*y.ic+0.05}var U=this.data[this.base];if(U){if((U.type==="mrow"||U.type==="mstyle")&&U.data.length===1){U=U.data[0]}if(U.type==="mi"||U.type==="mo"){if(a.isChar(U.data.join(""))&&y.rscale===1&&!y.sH&&!U.Get("largeop")){L=J=0}}}A.subscriptshift=(A.subscriptshift===""?0:this.CHTMLlength2em(A.subscriptshift));A.superscriptshift=(A.superscriptshift===""?0:this.CHTMLlength2em(A.superscriptshift));var I=G.w;if(H){P.w+=N}if(z){W.w+=N}if(!z){if(H){J=Math.max(J,a.TEX.sub1,B*P.h-(4/5)*X,A.subscriptshift);H.style.verticalAlign=a.Em(-J/B);H.style.paddingRight=a.Em(N/B);G.combine(P,I,-J)}}else{if(!H){R=a.TEX[(A.displaystyle?"sup1":(A.texprimestyle?"sup3":"sup2"))];L=Math.max(L,R,w*W.d+(1/4)*X,A.superscriptshift);z.style.verticalAlign=a.Em(L/w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);G.combine(W,I+Y,L)}else{J=Math.max(J,a.TEX.sub2);var M=a.TEX.rule_thickness;if((L-w*W.d)-(B*P.h-J)<3*M){J=3*M-L+w*W.d+B*P.h;Q=(4/5)*X-(L-w*W.d);if(Q>0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(K<L){I+=(L-K)/2;G+=(L-K)/2}}else{L=Math.max((O?2:0)*M+J,J/2+1.5*M);J=Math.max(J,M);K=(I-P.d*F)-(T+J/2);if(K<L){I+=(L-K)}K=(T-J/2)-(B.h*z-G);if(K<L){G+=(L-K)}P.L=P.R=B.L=B.R=0.1;var A=a.addElement(y,"mjx-line",{style:{"border-bottom":a.Px(J*C.scale,1)+" solid",top:a.Em(-J/2-T)}})}C.combine(P,0,I);C.combine(B,0,-G);C.clean();y.style.width=a.Em(C.w);D.style.width=a.Em(C.w/F);w.style.width=a.Em(C.w/z);if(A){A.style.width=y.style.width}D.style.top=a.Em(-C.h/F);w.style.bottom=a.Em(-C.d/z);a.addElement(N,"mjx-vsize",{style:{height:a.Em(C.h+C.d),verticalAlign:a.Em(-C.d)}})}if(!this.texWithDelims){var Q=a.TEX.nulldelimiterspace;y.style.padding="0 "+a.Em(Q);C.l+=Q;C.r+=Q;C.w+=2*Q}return N},CHTMLcanStretch:function(s){return false}});d.msqrt.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w,{childNodes:["mjx-box","mjx-root"],forceChild:true,noBBox:true});var v=w.firstChild||a.Element("mjx-box");var E=a.addElement(w,"mjx-box");E.appendChild(v);var F=this.CHTMLbboxFor(0),C=a.BBOX.empty(this.CHTML);var G=a.TEX.rule_thickness,y=a.TEX.surd_height,u=G,s,D;if(this.Get("displaystyle")){u=a.TEX.x_height}s=G+u/4;D=F.h+F.d+s+G;var z=a.Element("mjx-surd");E.insertBefore(z,v);var A=a.createDelimiter(z,8730,[D-0.04,D]);if(A.h+A.d>D){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,z.scale)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9*t)+0.6*t+Math.max(0,u.d*u.scale-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,"sep"+u,{});this.CHTMLaddChild(v,u,{})}this.CHTMLaddChild(v,"close",{});var t=this.CHTML.h,w=this.CHTML.d;this.CHTMLstretchChildV("open",t,w);for(u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV("sep"+u,t,w);this.CHTMLstretchChildV(u,t,w)}this.CHTMLstretchChildV("close",t,w);this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mrow.Augment({toCommonHTML:function(w,t){t=t||{};w=this.CHTMLdefaultNode(w);var z=this.CHTML,v=z.h,x=z.d,y;for(var u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV(u,v,x);if(this.data[u]&&this.data[u].CHTML&&this.data[u].CHTML.w<0){y=true}}if(this.CHTMLlineBreaks()){this.CHTMLmultiline(w);if(t.autowidth){w.style.width=""}}else{if(y&&z.w){w.style.width=a.Em(Math.max(0,z.w))}if(z.w<0){w.style.marginRight=a.Em(z.w)}}return w},CHTMLlineBreaks:function(){if(!this.parent.linebreakContainer){return false}return(c.automatic&&this.CHTML.w>a.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML);
+MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.9";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;q<n;q++){var B=this.data[q],A=(B.type==="mtr"?0:c);y[q]=r;h[q]=t;for(var p=A,v=B.data.length+A;p<v;p++){if(l[p]==null){l[p]=-f;if(p>w){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;q<n;q++){y[q]=x;h[q]=o}}k.H=y;k.D=h;k.W=l,k.J=w},CHTMLgetAttributes:function(v,j){var l=d(v.columnspacing),x=d(v.rowspacing),t=d(v.columnalign),r=d(v.rowalign),k=d(v.columnlines),w=d(v.rowlines),o=d(v.columnwidth),n=[],q,p,u=j.J,s=j.rows.length-1;for(q=0,p=l.length;q<p;q++){l[q]=this.CHTMLlength2em(l[q])}for(q=0,p=x.length;q<p;q++){x[q]=this.CHTMLlength2em(x[q])}while(l.length<u){l.push(l[l.length-1])}while(t.length<=u){t.push(t[t.length-1])}while(k.length<u){k.push(k[k.length-1])}while(o.length<=u){o.push(o[o.length-1])}while(x.length<s){x.push(x[x.length-1])}while(r.length<=s){r.push(r[r.length-1])}while(w.length<s){w.push(w[w.length-1])}t[c]=(v.side.substr(0,1)==="l"?"left":"right");for(q=0;q<=s;q++){var y=this.data[q];n[q]=[];if(y.rowalign){r[q]=y.rowalign}if(y.columnalign){n[q]=d(y.columnalign);while(n[q].length<=u){n[q].push(n[q][n[q].length-1])}}}var h=d(v.framespacing);if(h.length!=2){h=d(this.defaults.framespacing)}h[0]=Math.max(0,this.CHTMLlength2em(h[0]));h[1]=Math.max(0,this.CHTMLlength2em(h[1]));if(v.columnlines.replace(/none/g,"").replace(/ /g,"")!==""||v.rowlines.replace(/none/g,"").replace(/ /g,"")!==""){v.fspace=true}if(v.frame===b.LINES.NONE){delete v.frame}else{v.fspace=true}if(v.frame){h[0]=Math.max(0,h[0]);h[1]=Math.max(0,h[1])}if(v.fspace){l[u]=h[0];x[s]=h[1]}else{l[u]=x[s]=0}k[u]=w[s]=b.LINES.NONE;j.CSPACE=l;j.RSPACE=x;j.CALIGN=t;j.RALIGN=r;j.CLINES=k;j.RLINES=w;j.CWIDTH=o;j.RCALIGN=n;j.FSPACE=h},CHTMLadjustCells:function(l,r){var S=r.rows,W=r.CSPACE,o=r.CLINES,x=r.RSPACE,F=r.RLINES,V=r.CALIGN,q=r.RALIGN,G=r.RCALIGN;W[r.J]*=2;x[S.length-1]*=2;var p="0",I,t,z,N,n,P,U=0;if(l.fspace){U=r.FSPACE[1];p=e.Em(r.FSPACE[1])}r.RHD=[];r.RH=[];for(var Q=0,K=S.length;Q<K;Q++){var w=S[Q],v=this.data[Q];I=x[Q]/2;N=null;z="0";if(F[Q]!==b.LINES.NONE&&F[Q]!==""){N=r.t+" "+F[Q]}if(N||(o[O]!==b.LINES.NONE&&o[O]!=="")){while(w.length<=r.J){w.push(e.addElement(w.node,"mjx-mtd",null,[["span"]]))}}r.RH[Q]=U+r.H[Q];U=Math.max(0,I);r.RHD[Q]=r.RH[Q]+U+r.D[Q];I=e.Em(U);if(l.fspace){z=e.Em(r.FSPACE[0])}for(var O=0,y=w.length;O<y;O++){var E=(v.type==="mtr"?0:c);var J=v.data[O-E]||{CHTML:e.BBOX.zero()};var k=w[O].style;n=J.CHTML;t=W[O]/2;if(o[O]!==b.LINES.NONE){k.borderRight=r.t+" "+o[O];t-=1/e.em/2}t=e.Em(Math.max(0,t));k.padding=p+" "+t+" 0px "+z;if(N){k.borderBottom=N}z=t;P=(J.rowalign||(this.data[Q]||{}).rowalign||q[Q]);var A=Math.max(1,n.h),C=Math.max(0.2,n.d),h=(r.H[Q]+r.D[Q])-(A+C),u=w[O].firstChild.style;if(P===b.ALIGN.TOP){if(h){u.marginBottom=e.Em(h)}k.verticalAlign="top"}else{if(P===b.ALIGN.BOTTOM){k.verticalAlign="bottom";if(h){u.marginTop=e.Em(h)}}else{if(P===b.ALIGN.CENTER){if(h){u.marginTop=u.marginBottom=e.Em(h/2)}k.verticalAlign="middle"}else{if(A!==r.H[Q]){u.marginTop=e.Em(r.H[Q]-A)}}}}P=(J.columnalign||G[Q][O]||V[O]);if(P!==b.ALIGN.CENTER){k.textAlign=P}}w.node.style.height=e.Em(r.RHD[Q]);p=I}W[r.J]/=2;x[S.length-1]/=2},CHTMLalignV:function(w,k,o){var m,t=k.rows.length,v=k.H,j=k.D,x=k.RSPACE;if(typeof(w.align)!=="string"){w.align=String(w.align)}if(w.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){m=parseInt(RegExp.$3||"0");w.align=RegExp.$1;if(m<0){m+=k.rows.length+1}if(m>t||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q<t;q++){var r=v[q],s=j[q];p+=r+s+x[q];if(m){if(q===m-1){l+=({top:r+s,bottom:0,center:(r+s)/2,baseline:s,axis:u+s})[w.align]+x[q]}if(q>=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n||(y&&C)){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;H<B;H++){F=h[H];v=Math.max(o[F],this.CHTMLlength2em(I[F],G));k+=v-o[F];o[F]=v;t[F].style.width=e.Em(v)}E+=k}if(!C){D=s}if(G>E&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;H<B;H++){F=D[H];o[F]+=x;t[F].style.width=e.Em(o[F])}E=G}}}o[c]=r.W[c];r.W=o;r.R=E;if(y){A.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=e.Em(E);A.firstChild.style.width=l.width;A.firstChild.style.margin="auto"}},CHTMLstretchCells:function(x,l){var y=l.rows,w=l.H,k=l.D,m=l.W,t=l.J,s=y.length-1;for(var o=0;o<=s;o++){var z=y[o],q=this.data[o];var p=w[o],r=k[o];for(var n=0;n<=t;n++){var v=z[n],u=q.data[n];if(!u){continue}if(u.CHTML.stretch==="V"){u.CHTMLstretchV(p,r)}else{if(u.CHTML.stretch==="H"){u.CHTMLstretchH(v,m[n])}}}}},CHTMLaddLabels:function(h,k,w,B){var q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(q.indentalignfirst!==b.INDENTALIGN.INDENTALIGN){q.indentalign=q.indentalignfirst}if(q.indentalign===b.INDENTALIGN.AUTO){q.indentalign=a.displayAlign}if(q.indentshiftfirst!==b.INDENTSHIFT.INDENTSHIFT){q.indentshift=q.indentshiftfirst}if(q.indentshift==="auto"){q.indentshift="0"}var z=this.CHTMLlength2em(q.indentshift,e.cwidth);var A=this.CHTMLlength2em(h.minlabelspacing,0.8);var p=A+k.W[c],y=0,D=k.R;var n=this.CHTMLlength2em(a.displayIndent,e.cwidth);var t=(k.CALIGN[c]===b.INDENTALIGN.RIGHT?-1:1);if(q.indentalign===b.INDENTALIGN.CENTER){D+=2*(p-t*(z+n));z+=n}else{if(k.CALIGN[c]===q.indentalign){if(n<0){y=t*n;n=0}z+=t*n;if(p>t*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x<v;x++){if(l[x]&&this.data[x].data[0]){C.appendChild(l[x]);var r=this.data[x].data[0].CHTML;j=k.RH[x]-Math.max(1,r.h);if(j){l[x].firstChild.firstChild.style.marginTop=e.Em(j)}l[x].style.height=e.Em(k.RHD[x])}else{e.addElement(C,"mjx-label",{style:{height:e.Em(k.RHD[x])}})}}w.style.width=this.CHTML.pwidth="100%";w.style.minWidth=this.CHTML.mwidth=e.Em(Math.max(0,D))}});b.mtr.Augment({toCommonHTML:function(l,j){l=this.CHTMLcreateNode(l);this.CHTMLhandleStyle(l);this.CHTMLhandleScale(l);if(!j){j={rows:[],labels:[]}}var n=[];j.rows.push(n);n.node=l;j.labels.push(null);for(var k=0,h=this.data.length;k<h;k++){n.push(this.CHTMLaddChild(l,k,j))}this.CHTMLhandleColor(l);return l}});b.mlabeledtr.Augment({toCommonHTML:function(n,k){n=this.CHTMLcreateNode(n);this.CHTMLhandleStyle(n);this.CHTMLhandleScale(n);if(!k){k={rows:[],labels:[]}}var o=[];k.rows.push(o);o.node=n;var j=e.Element("mjx-label");k.labels.push(j);this.CHTMLaddChild(j,0,k);if(this.data[0]){k.labeled=true}for(var l=1,h=this.data.length;l<h;l++){o.push(this.CHTMLaddChild(n,l,k))}this.CHTMLhandleColor(n);return n}});b.mtd.Augment({toCommonHTML:function(l,i){l=this.CHTMLdefaultNode(l,i);e.addElement(l.firstChild,"mjx-strut");if(this.isEmbellished()){var m=this.CoreMO(),h=this.CHTML;if(m.CHTMLcanStretch("Vertical")){h.stretch="V"}else{if(m.CHTMLcanStretch("Horizontal")){h.stretch="H"}}if(h.stretch){var j=m.Get("minsize",true);if(j){if(h.stretch==="V"){var n=h.h+h.d;if(n){var k=this.CHTMLlength2em(j,n)/n;if(k>1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_CHTML-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_CHTML-full.js");
diff --git a/config/TeX-AMS_CHTML.js b/config/TeX-AMS_CHTML.js
index 1abb34a103..a65848d00b 100644
--- a/config/TeX-AMS_CHTML.js
+++ b/config/TeX-AMS_CHTML.js
@@ -37,21 +37,109 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_CHTML.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_CHTML.js");
diff --git a/config/TeX-AMS_HTML-full.js b/config/TeX-AMS_HTML-full.js
index 82f7a15c20..14db7dd355 100644
--- a/config/TeX-AMS_HTML-full.js
+++ b/config/TeX-AMS_HTML-full.js
@@ -39,23 +39,111 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(j,b,d){var i,k=b.Browser.isMobile;var h=MathJax.Object.isArray;var e=function(){var m=[].slice.call(arguments,0);m[0][0]=["HTML-CSS",m[0][0]];return MathJax.Message.Set.apply(MathJax.Message,m)};var f=MathJax.Object.Subclass({timeout:(k?15:8)*1000,comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],FedoraSTIXcheck:{family:"STIXSizeOneSym",testString:"abcABC",noStyleChar:true},Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",width:0,height:0,overflow:"hidden",padding:0,border:0,margin:0}},[["div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto","min-width":0,"max-width":"none",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]]]).firstChild;this.text=this.div.firstChild},findFont:function(r,o){var q=null;if(o&&this.testCollection(o)){q=o}else{for(var p=0,n=r.length;p<n;p++){if(r[p]===o){continue}if(this.testCollection(r[p])){q=r[p];break}}}if(q==="STIX"&&this.testFont(this.FedoraSTIXcheck)){q=null}return q},testCollection:function(n){var m={testString:"() {} []"};m.family={TeX:"MathJax_Size1",STIX:"STIXSizeOneSym"}[n]||n.replace(/-(Math)?/,"")+"MathJax_Size1";if(n==="STIX"){m.noStyleChar=true}return this.testFont(m)},testFont:function(p){if(p.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(p.weight||"normal");this.div.style.fontStyle=(p.style||"normal")}var r=p.familyFixed||p.family;if(!p.isWebFont&&!r.match(/^(STIX|MathJax)|'/)){r=r.replace(/_/g," ").replace(/([a-z])([A-Z])/g,"$1 $2").replace(/ Jax/,"Jax")+"','"+r+"','"+r+"-";if(p.weight){r+="Bold"}if(p.style){r+="Italic"}if(!p.weight&&!p.style){r+="Regular"}p.familyFixed=r="'"+r+"'"}var o=this.getComparisonWidths(p.testString,p.noStyleChar);var s=null;if(o){this.div.style.fontFamily=r+","+this.comparisonFont[0];if(this.div.offsetWidth==o[0]){this.div.style.fontFamily=r+","+this.comparisonFont[o[2]];if(this.div.offsetWidth==o[1]){s=false}}if(s===null&&(this.div.offsetWidth!=o[3]||this.div.offsetHeight!=o[4])){if(!p.noStyleChar&&d.FONTDATA&&d.FONTDATA.hasStyleChar){for(var q=0,n=this.testSize.length;q<n;q++){if(this.testStyleChar(p,this.testSize[q])){s=true;n=0}}}else{s=true}}}if(d.safariTextNodeBug){this.div.innerHTML=""}else{this.text.nodeValue=""}return s},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(p,r){var u=3+(p.weight?2:0)+(p.style?4:0);var o="",q=0;var t=this.div.style.fontSize;this.div.style.fontSize=r;if(d.msieItalicWidthBug&&p.style==="italic"){this.text.nodeValue=o=this.compChar;q=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+o}else{this.text.nodeValue=this.compChar+o}var m=this.div.offsetWidth-q;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+o}else{this.text.nodeValue=this.styleChar+o}var s=Math.floor((this.div.offsetWidth-q)/m+0.5);if(s===u){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+o}else{this.text.nodeValue=this.versionChar+o}p.version=Math.floor((this.div.offsetWidth-q)/m+1.5)/2}this.div.style.fontSize=t;return(s===u)},getComparisonWidths:function(r,p){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!p){r+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=r}else{this.text.nodeValue=r}this.div.style.fontFamily=this.comparisonFont[0];var o=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var t=this.div.offsetWidth,q=this.div.offsetHeight;for(var s=1,n=this.comparisonFont.length;s<n;s++){this.div.style.fontFamily=this.comparisonFont[s];if(this.div.offsetWidth!=o){return[o,this.div.offsetWidth,s,t,q]}}return null},loadWebFont:function(o){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+o.directory);var q=e(["LoadWebFont","Loading web-font %1",d.fontInUse+"/"+o.directory]);var m=MathJax.Callback({});var p=MathJax.Callback(["loadComplete",this,o,q,m]);j.timer.start(j,[this.checkWebFont,o,p],0,this.timeout);return m},loadComplete:function(p,r,o,m){MathJax.Message.Clear(r);if(m===j.STATUS.OK){this.webFontLoaded=true;o();return}this.loadError(p);if(b.Browser.isFirefox&&d.allowWebFonts){var q=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){q+=":"+document.location.port}q+="/";if(j.fileURL(d.webfontDir).substr(0,q.length)!==q){this.firefoxFontError(p)}}if(!this.webFontLoaded){d.loadWebFontError(p,o)}else{o()}},loadError:function(m){e(["CantLoadWebFont","Can't load web font %1",d.fontInUse+"/"+m.directory],null,2000);b.Startup.signal.Post("HTML-CSS Jax - web font error for "+d.fontInUse+"/"+m.directory)},firefoxFontError:function(m){e(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(m,n,o){if(m.time(o)){return}if(d.Font.testFont(n)){o(m.STATUS.OK)}else{setTimeout(m,m.delay)}},fontFace:function(q){var r=d.allowWebFonts;var t=d.FONTDATA.FONTS[q];if(d.msieFontCSSBug&&!t.family.match(/-Web$/)){t.family+="-Web"}if(t.isWebFont){delete t.familyFixed}var m=d.webfontDir+"/"+r;var p=j.fileURL(m);var o=q.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!o.match(/-/)){o+="-Regular"}if(r==="svg"){o+=".svg#"+o}else{o+="."+r}var n=j.fileRev(m+"/"+o.replace(/#.*/,""));var s={"font-family":t.family,src:"url('"+p+"/"+o+n+"')"};if(r==="otf"){o=o.replace(/otf$/,"woff");n=j.fileRev(m+"/"+o);s.src+=" format('opentype')";p=j.fileURL(d.webfontDir+"/woff");s.src="url('"+p+"/"+o+n+"') format('woff'), "+s.src}else{if(r!=="eot"){s.src+=" format('"+r+"')"}}if(!(d.FontFaceBug&&t.isWebFont)){if(q.match(/-bold/)){s["font-weight"]="bold"}if(q.match(/-italic/)){s["font-style"]="italic"}}return s}});var l,a,c;var g=MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<8;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax:focus, body :focus .MathJax":{display:"inline-table"},".MathJax_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax.MathJax_FullWidth":{"text-align":"center",display:(g?"block":"table-cell")+"!important",width:(g?"100%":"10000em")+"!important"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0!important",padding:"0!important",margin:"0!important","vertical-align":"0!important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none","box-sizing":"content-box"},".MathJax nobr":{"white-space":"nowrap!important"},".MathJax img":{display:"inline!important","float":"none!important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_test.mjx-test-display":{display:(g?"block":"table")+"!important"},".MathJax_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".MathJax_em_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60em"},".mjx-test-inline .MathJax_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_right_box":{display:(g?"block":"table-cell")+"!important",width:(g?"100%":"10000em")+"!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1000,fontName:{TeXLocal:"TeX",TeXWeb:["","TeX"],TeXImage:["",""],STIXLocal:["STIX","STIX-Web"],STIXWeb:"STIX-Web",AsanaMathWeb:"Asana-Math",GyrePagellaWeb:"Gyre-Pagella",GyreTermesWeb:"Gyre-Termes",LatinModernWeb:"Latin-Modern",NeoEulerWeb:"Neo-Euler"},fontInUse:"generic",FONTDATA:{TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{},"-largeOp":{},"-smallOp":{}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}},Config:function(){if(!this.require){this.require=[]}this.Font=f();this.SUPER(arguments).Config.call(this);var o=this.settings,n=this.config,m=o.font;if(this.adjustAvailableFonts){this.adjustAvailableFonts(n.availableFonts)}if(o.scale){n.scale=o.scale}if(m&&m!=="Auto"&&this.fontName[m]){n.availableFonts=[];delete n.fonts;if(h(this.fontName[m])){n.preferredFont=this.fontName[m][0];n.webFont=this.fontName[m][1]}else{n.preferredFont=n.webFont=this.fontName[m]}if(n.preferredFont){n.availableFonts[0]=n.preferredFont}}if(n.fonts){n.availableFonts=n.fonts;n.preferredFont=n.webFont=n.fonts[0];if(n.webFont==="STIX"){n.webFont+="-Web"}}m=this.Font.findFont(n.availableFonts,n.preferredFont);if(!m&&this.allowWebFonts){m=n.webFont;if(m){this.webFonts=true}}if(!m&&this.config.imageFont){m=n.imageFont;this.imgFonts=true}if(m){this.fontInUse=m;this.fontDir+="/"+m;this.webfontDir+="/"+m;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{e(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){l=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=l.ContextMenu;this.Mousedown=l.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var n=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(m){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.TestSpan=this.Element("span",{className:"MathJax_test"},[["span",{className:"MathJax_left_box"}],["span",{className:"MathJax_ex_box"}],["span",{className:"MathJax_em_box"}],["span",{className:"MathJax_right_box"}]]);return j.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(p){for(var o=0,n=p.length;o<n;o++){if(p[o]==="STIX"){p.splice(o,1);n--;o--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=p[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var o=0,n=d.config.preloadWebFonts.length;o<n;o++){var p=d.FONTDATA.FONTS[d.config.preloadWebFonts[o]];if(!p.available){d.Font.testFont(p)}}},InitializeHTML:function(){this.PreloadWebFonts();this.getDefaultExEm();if(this.defaultEm){return}var m=MathJax.Callback();j.timer.start(j,function(n){if(n.time(m)){b.signal.Post(["HTML-CSS Jax - no default em size"]);return}d.getDefaultExEm();if(d.defaultEm){m()}else{setTimeout(n,n.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return m},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var m=document.body.appendChild(this.TestSpan.cloneNode(true));m.className+=" mjx-test-inline mjx-test-default";this.defaultEx=m.childNodes[1].offsetHeight/60;this.defaultEm=m.childNodes[2].offsetHeight/60;this.defaultWidth=Math.max(0,m.lastChild.offsetLeft-m.firstChild.offsetLeft-2);document.body.removeChild(m)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,H,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_Display)?( MathJax_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.HTMLCSS={display:(p.root.Get("display")==="block")};C=u=this.Element("span",{className:"MathJax",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:l.Menu,onmousedown:l.Mousedown,onmouseover:l.Mouseover,onmouseout:l.Mouseout,onmousemove:l.Mousemove,onclick:l.Click,ondblclick:l.DblClick,onkeydown:l.Keydown,tabIndex:b.getTabOrder(p)});if(b.Browser.noContextMenu){C.ontouchstart=a.start;C.ontouchend=a.end}if(p.HTMLCSS.display){u=this.Element("div",{className:"MathJax_Display"});u.appendChild(C)}else{if(this.msieDisappearingBug){C.style.display="inline-block"}}u.className+=" MathJax_Processing";G.parentNode.insertBefore(u,G);p.HTMLCSS.span=C;p.HTMLCSS.div=u;E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.HTMLCSS.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;o=E.childNodes[2].offsetHeight/60;A=Math.max(0,p.HTMLCSS.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2);if(F===0||F==="NaN"){B.push(u);p.HTMLCSS.isHidden=true;F=this.defaultEx;o=this.defaultEm;A=this.defaultWidth}if(A===0&&!p.HTMLCSS.display){A=this.defaultWidth}if(t){v=A}H=(this.config.matchFontHeight?F/this.TeX.x_height/o:1);H=Math.floor(Math.max(this.config.minScaleAdjust/100,H)*this.config.scale);p.HTMLCSS.scale=H/100;p.HTMLCSS.fontSize=H+"%";p.HTMLCSS.em=p.HTMLCSS.outerEm=o;this.em=o*H/100;p.HTMLCSS.ex=F;p.HTMLCSS.cwidth=A/this.em;p.HTMLCSS.lineWidth=(q?this.length2em(x,1,v/this.em):1000000)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=r[D].MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.HTMLCSSeqn=s.HTMLCSSlast=0;s.HTMLCSSi=-1;s.HTMLCSSchunk=this.config.EqnChunk;s.HTMLCSSdelay=false},PHASE:{I:1,II:2,III:3},Translate:function(n,r){if(!n.parentNode){return}if(r.HTMLCSSdelay){r.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var m=n.MathJax.elementJax,q=m.root,s=m.HTMLCSS.div,o=m.HTMLCSS.span;if(!document.getElementById(o.id)){return}this.getMetrics(m);if(this.scale!==1){o.style.fontSize=m.HTMLCSS.fontSize}this.initImg(o);this.initHTML(q,o);this.savePreview(n);try{q.setTeXclass();q.toHTML(o,s,this.PHASE.I)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}this.restorePreview(n);throw p}this.restorePreview(n);s.className=s.className.split(/ /)[0]+" MathJax_Processed";b.signal.Post(["New Math Pending",m.inputID]);r.HTMLCSSeqn+=(r.i-r.HTMLCSSi);r.HTMLCSSi=r.i;if(r.HTMLCSSeqn>=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){var n=(v.MathJax.elementJax.HTMLCSS||{}).div;if(n){n.className=n.className.split(/ /)[0]}if(v.MathJax.preview){v.MathJax.preview.innerHTML=""}}}for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){p=v.MathJax.elementJax;this.getMetrics(p);if(p.HTMLCSS.span&&p.HTMLCSS.div){p.root.toHTML(p.HTMLCSS.span,p.HTMLCSS.div,this.PHASE.II)}}}for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){p=v.MathJax.elementJax;this.getMetrics(p);if(p.HTMLCSS.span&&p.HTMLCSS.div){p.root.toHTML(p.HTMLCSS.span,p.HTMLCSS.div,this.PHASE.III);if(p.HTMLCSS.isHidden){v.parentNode.insertBefore(p.HTMLCSS.div,v)}delete p.HTMLCSS.span;delete p.HTMLCSS.div;v.MathJax.state=p.STATE.PROCESSED;b.signal.Post(["New Math",v.MathJax.elementJax.inputID])}}}if(this.forceReflow){var t=(document.styleSheets||[])[0]||{};t.disabled=true;t.disabled=false}o.HTMLCSSlast=o.HTMLCSSeqn},getJaxFromMath:function(m){if(m.parentNode.className.match(/MathJax_Display/)){m=m.parentNode}do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return b.getJaxFor(m)},getHoverSpan:function(m,n){return m.root.HTMLspanElement()},getHoverBBox:function(m,p,q){var r=p.bbox,o=m.HTMLCSS.outerEm;var n={w:r.w*o,h:r.h*o,d:r.d*o};if(r.width){n.width=r.width}return n},Zoom:function(n,y,x,m,v){y.className="MathJax";y.style.fontSize=n.HTMLCSS.fontSize;var B=y.appendChild(this.TestSpan.cloneNode(true));var q=B.childNodes[2].offsetHeight/60;this.em=i.mbase.prototype.em=q;this.outerEm=q/n.HTMLCSS.scale;B.parentNode.removeChild(B);this.scale=n.HTMLCSS.scale;this.linebreakWidth=n.HTMLCSS.lineWidth;this.cwidth=n.HTMLCSS.cwidth;this.zoomScale=parseInt(b.config.menuSettings.zscale)/100;this.idPostfix="-zoom";n.root.toHTML(y,y);this.idPostfix="";this.zoomScale=1;var z=n.root.HTMLspanElement().bbox,p=z.width;if(p){if(z.tw){m=z.tw*q}if(z.w*q<m){m=z.w*q}y.style.width=Math.floor(m-1.5*d.em)+"px";y.style.display="inline-block";var o=(n.root.id||"MathJax-Span-"+n.root.spanID)+"-zoom";var r=document.getElementById(o).firstChild;while(r&&r.style.width!==p){r=r.nextSibling}if(r){var u=r.offsetWidth;r.style.width="100%";if(u>m){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s<p;s++){v=q[s];if(!v){continue}w=v.bbox;u=this.parentNode(v);if(w.exactW||w.width||w.w===0||w.isMultiline||(this.config.noReflows&&w.exactW!==false)){if(!u.bbox){u.bbox=w}continue}if(this.negativeBBoxes||!v.firstChild||(w.w>=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s<p;s++){v=t[s][0];w=v.bbox;u=this.parentNode(v);if((w.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s<p;s++){v=t[s];if(v[1]){v[1].parentNode.removeChild(v[1]),v[0].style.position=v[3]}if(v[2]){v[2].parentNode.removeChild(v[2])}}},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},EmRounded:function(n){if(Math.abs(n)<0.0006){return"0em"}n=(Math.round(n*d.em)+0.05)/d.em;return n.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(n){return parseFloat(n)},Px:function(n){n*=this.em;var o=(n<0?"-":"");return o+Math.abs(n).toFixed(1).replace(/\.?0+$/,"")+"px"},unPx:function(n){return parseFloat(n)/this.em},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(t,o,r){if(typeof(t)!=="string"){t=t.toString()}if(t===""){return""}if(t===i.SIZE.NORMAL){return 1}if(t===i.SIZE.BIG){return 2}if(t===i.SIZE.SMALL){return 0.71}if(t==="infinity"){return d.BIGDIMEN}var q=this.FONTDATA.TeX_factor,u=(d.zoomScale||1)/d.em;if(t.match(/mathspace$/)){return d.MATHSPACE[t]*q}var p=t.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1"),s=p[2];if(r==null){r=1}if(o==null){o=1}if(s==="em"){return n*q}if(s==="ex"){return n*d.TeX.x_height*q}if(s==="%"){return n/100*r}if(s==="px"){return n*u}if(s==="pt"){return n/10*q}if(s==="pc"){return n*1.2*q}if(s==="in"){return n*this.pxPerInch*u}if(s==="cm"){return n*this.pxPerInch*u/2.54}if(s==="mm"){return n*this.pxPerInch*u/25.4}if(s==="mu"){return n/18*q*o}return n*r},thickness2em:function(n,m){var o=d.TeX.rule_thickness;if(n===i.LINETHICKNESS.MEDIUM){return o}if(n===i.LINETHICKNESS.THIN){return 0.67*o}if(n===i.LINETHICKNESS.THICK){return 1.67*o}return this.length2em(n,m,o)},border2em:function(n,m){if(n===i.LINETHICKNESS.THIN){n="1px"}if(n===i.LINETHICKNESS.MEDIUM){n="3px"}if(n===i.LINETHICKNESS.THICK){n="5px"}return this.length2em(n,m)},getPadding:function(n){var p={top:0,right:0,bottom:0,left:0},m=false;for(var q in p){if(p.hasOwnProperty(q)){var o=n.style["padding"+q.charAt(0).toUpperCase()+q.substr(1)];if(o){p[q]=this.length2em(o);m=true}}}return(m?p:false)},getBorders:function(r){var o={top:0,right:0,bottom:0,left:0},p={},n=false;for(var s in o){if(o.hasOwnProperty(s)){var m="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r.style[m+"Style"];if(q){n=true;o[s]=this.border2em(r.style[m+"Width"]||i.LINETHICKNESS.MEDIUM);p[m]=[r.style[m+"Width"],r.style[m+"Style"],r.style[m+"Color"]].join(" ")}}}o.css=p;return(n?o:false)},setBorders:function(m,n){if(n){for(var o in n.css){if(n.css.hasOwnProperty(o)){m.style[o]=n.css[o]}}}},createStrut:function(o,n,p){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:n+"px",width:"1px",marginRight:"-1px"}});if(p){o.insertBefore(m,o.firstChild)}else{o.appendChild(m)}return m},createBlank:function(n,m,o){var p=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(m)}});if(m<0){p.style.marginRight=p.style.width;p.style.width=0}if(o){n.insertBefore(p,n.firstChild)}else{n.appendChild(p)}return p},createShift:function(n,m,p){var o=this.Element("span",{style:{marginLeft:this.Em(m)},isMathJax:true});if(p){n.insertBefore(o,n.firstChild)}else{n.appendChild(o)}return o},createSpace:function(r,p,q,s,o,u){if(p<-q){q=-p}var t=this.Em(p+q),m=this.Em(-q);if(this.msieInlineBlockAlignBug){m=this.Em(d.getHD(r.parentNode,true).d-q)}if(r.isBox||u){var n=(r.scale==null?1:r.scale);r.bbox={exactW:true,h:p*n,d:q*n,w:s*n,rw:s*n,lw:0};r.style.height=t;r.style.verticalAlign=m;r.HH=(p+q)*n}else{r=this.addElement(r,"span",{style:{height:t,verticalAlign:m},isMathJax:true})}if(s>=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em<o){u=o/this.em}if(p+r>0&&(p+r)*this.em<o){q=1/(p+r)*(o/this.em);p*=q;r*=q}if(!n){n="solid"}else{n="solid "+n}var m={display:"inline-block",overflow:"hidden",verticalAlign:this.Em(-r)};if(u>p+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(x<r){x=r}if(s+u<r){s=r-u}}if(this.msieBorderWidthBug){r=0}var y=this.Em(s+u-r),m=this.Em(-u-z),q=this.Em(x-r);var o=this.Px(z)+" "+n;var p=this.addElement(v,"span",{style:{border:o,display:"inline-block",overflow:"hidden",width:q,height:y},bbox:{h:s,d:u,w:x,rw:x,lw:0,exactW:true},noAdjust:true,HH:s+u,isMathJax:true});if(m){p.style.verticalAlign=m}return p},parentNode:function(n){var m=n.parentNode;if(m.nodeName.toLowerCase()==="a"){m=m.parentNode}return m},createStack:function(o,q,n){if(this.msiePaddingWidthBug){this.createStrut(o,0)}var p=String(n).match(/%$/);var m=(!p&&n!=null?n:0);o=this.addElement(o,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(p?"100%":this.Em(m)),height:0}});if(!q){o.parentNode.bbox=o.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:m,lw:this.BIGDIMEN,rw:(!p&&n!=null?n:-this.BIGDIMEN)};if(p){o.bbox.width=n}}return o},createBox:function(n,m){var o=this.addElement(n,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(m!=null){o.style.width=m}return o},addBox:function(m,n){n.style.position="absolute";n.isBox=n.isMathJax=true;return m.appendChild(n)},placeBox:function(w,v,u,q){w.isMathJax=true;var z=d.parentNode(w),F=w.bbox,B=z.bbox;if(this.msiePlaceBoxBug){this.addText(w,this.NBSP)}if(this.imgSpaceBug){this.addText(w,this.imgSpace)}var A,I=0;if(w.HH!=null){A=w.HH}else{if(F){var o=w.firstChild;A=Math.max(3,3*(o?o.scale||1:1),F.h+F.d)}else{A=w.offsetHeight/this.em}}if(!w.noAdjust){A+=1;A=Math.round(A*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(w,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(A)}})}else{this.addElement(w,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(A)}});if(d.chromeHeightBug){A-=(w.lastChild.offsetHeight-Math.round(A*this.em))/this.em}}}if(F){if(this.initialSkipBug){if(F.lw<0){I=F.lw;d.createBlank(w,-I,true)}if(F.rw>F.w){d.createBlank(w,F.rw-F.w+0.1)}}if(!this.msieClipRectBug&&!F.noclip&&!q){var E=3/this.em;var C=(F.H==null?F.h:F.H),n=(F.D==null?F.d:F.D);var G=A-C-E,s=A+n+E,p=-1000,m=F.rw+1000;w.style.clip="rect("+this.Em(G)+" "+this.Em(m)+" "+this.Em(s)+" "+this.Em(p)+")"}}w.style.top=this.Em(-u-A);w.style.left=this.Em(v+I);if(F&&B){if(F.H!=null&&(B.H==null||F.H+u>B.H)){B.H=F.H+u}if(F.D!=null&&(B.D==null||F.D-u>B.D)){B.D=F.D-u}if(F.h+u>B.h){B.h=F.h+u}if(F.d-u>B.d){B.d=F.d-u}if(B.H!=null&&B.H<=B.h){delete B.H}if(B.D!=null&&B.D<=B.d){delete B.D}if(F.w+v>B.w){B.w=F.w+v;if(B.width==null){z.style.width=this.Em(B.w)}}if(F.rw+v>B.rw){B.rw=F.rw+v}if(F.lw+v<B.lw){B.lw=F.lw+v}if(F.width!=null&&!F.isFixed){if(B.width==null){z.style.width=B.width="100%";if(F.minWidth){z.style.minWidth=B.minWidth=F.minWidth}}w.style.width=F.width}if(F.tw){B.tw=F.tw}}},alignBox:function(t,p,s,x,w){if(x==null){x=0}this.placeBox(t,x,s);if(this.msiePlaceBoxBug){var n=t.lastChild;while(n&&n.nodeName!=="#text"){n=n.previousSibling}if(n){t.removeChild(n)}}var v=t.bbox;if(v.isMultiline&&!w){return}var u=v.width!=null&&!v.isFixed;var m=0,q=x-v.w/2,o="50%";if(this.initialSkipBug){m=v.w-v.rw-0.1;q+=v.lw}if(this.msieMarginScaleBug){q=(q*this.em)+"px"}else{q=this.Em(q)}if(u){q=(x===0?"":this.Em(x));o=(50-parseFloat(v.width)/2)+"%"}b.Insert(t.style,({right:{left:"",right:this.Em(m-x)},center:{left:o,marginLeft:q}})[p])},setStackWidth:function(n,m){if(typeof(m)==="number"){n.style.width=this.Em(Math.max(0,m));var o=n.bbox;if(o){o.w=m;o.exactW=true}o=n.parentNode.bbox;if(o){o.w=m;o.exactW=true}}else{n.style.width=n.parentNode.style.width="100%";if(n.bbox){n.bbox.width=m}if(n.parentNode.bbox){n.parentNode.bbox.width=m}}},createDelimiter:function(w,n,p,s,q){if(!n){w.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};w.bbox.rw=w.bbox.w;this.createSpace(w,w.bbox.h,w.bbox.d,w.bbox.w);return}if(!s){s=1}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){b.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var u=0,r=o.HW.length;u<r;u++){if(o.HW[u][0]*s>=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&u<C*F.min){u=C*F.min}if(u>C){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&p<v*F.min){p=v*F.min}if(p>v){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}u-=D.bbox.lw;this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s<o;s++){v+=String.fromCharCode(r[0][s])}}else{v=String.fromCharCode(r[0])}if(r[4]){p*=r[4]}if(p!==1||r[3]){t=this.addElement(u,"span",{style:{fontSize:this.Percent(p)},scale:p,isMathJax:true});this.handleVariant(t,q,v);u.bbox=t.bbox}else{this.handleVariant(u,q,v)}if(r[2]){u.style.marginLeft=this.Em(r[2])}if(r[3]){u.firstChild.style.verticalAlign=this.Em(r[3]);u.bbox.h+=r[3];if(u.bbox.h<0){u.bbox.h=0}}if(r[5]){u.bbox.h+=r[5]}if(r[6]){u.bbox.d+=r[6]}if(this.AccentBug&&u.bbox.w===0){t.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(n,m){m-=n.bbox.h;n.bbox.d-=m;n.bbox.h+=m;if(m){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&n.isMultiChar)){if(n.firstChild.style.display===""&&n.style.top!==""){n=n.firstChild;m-=d.unEm(n.style.top)}n.style.position="relative";n.style.top=this.Em(-m)}else{n.style.verticalAlign=this.Em(m);if(d.ffVerticalAlignBug){d.createRule(n.parentNode,n.bbox.h,0,0);delete n.parentNode.bbox}}}},handleVariant:function(B,q,t){var A="",y,D,u,E,o=B,p=!!B.style.fontFamily;if(t.length===0){return}if(!B.bbox){B.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!q){q=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}E=q;for(var C=0,z=t.length;C<z;C++){q=E;y=t.charCodeAt(C);D=t.charAt(C);if(y>=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v<s;v++){if(w[v].name==="alpha"&&q.noLowerCase){continue}var r=q["offset"+w[v].offset];if(r&&y>=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{if(w[v].remapOnly){break}y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000<B.bbox.lw){B.bbox.lw=B.bbox.w+D[3]/1000}if(B.bbox.w+D[4]/1000>B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(d.isChar(t)&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(((m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)||(this.FontFaceBug&&n.fontFamily!=="")))},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||(!this.msieAccentBug&&!this.combiningCharBug)||s.length){return s+r.c}if(this.combiningCharBug){d.addElement(o,"span",{style:{marginLeft:d.Em(u[3]/1000)}},[r.c]);return""}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]]);t[s[q]].name=s[q]}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){if(p[u].length===5){p[u][5]={}}if(d.allowWebFonts&&!p.available){this.loadWebFont(p)}else{return p}}else{this.findBlock(p,u)}}return this.unknownChar(r,u)},unknownChar:function(m,p){var o=(m.defaultFont||{family:d.config.undefinedFamily});if(m.bold){o.weight="bold"}if(m.italic){o.style="italic"}if(!o[p]){o[p]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",p,m]);return o},isChar:function(m){if(m.length===1){return true}if(m.length!==2){return false}var o=m.charCodeAt(0);return(o>=55296&&o<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);j.Require(this.directory+"/imageFonts.js",m)}else{this.allowWebFonts=false;m()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.type!="mrow"){q=this.HTMLhandleSize(q)}for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q)}}var u=this.HTMLcomputeBBox(q);var p=q.bbox.h,t=q.bbox.d,r=false,s;for(o=0,n=u.length;o<n;o++){s=u[o].HTMLspanElement().bbox;if(u[o].forceStretch||s.h!==p||s.d!==t){u[o].HTMLstretchV(q,p,t);r=true}else{if(u[o].needsBBox){r=true}}}if(r){this.HTMLcomputeBBox(q,true)}if(this.HTMLlineBreaks(q)){q=this.HTMLmultiline(q)}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);if(this.data.length===1&&this.data[0]){s=this.data[0].HTMLspanElement().bbox;if(s.skew){q.bbox.skew=s.skew}}return q},HTMLlineBreaks:function(){return false},HTMLmultiline:function(){i.mbase.HTMLautoloadFile("multiline")},HTMLcomputeBBox:function(s,r,q,n){if(q==null){q=0}if(n==null){n=this.data.length}var p=s.bbox={exactW:true},t=[];while(q<n){var o=this.data[q];if(!o){continue}if(!r&&o.HTMLcanStretch("Vertical")){t.push(o);o=(o.CoreMO()||o);t[t.length-1].needsBBox=(o!==this.data[q])}this.HTMLcombineBBoxes(o,p);q++}this.HTMLcleanBBox(p);return t},HTMLcombineBBoxes:function(m,n){if(n.w==null){this.HTMLemptyBBox(n)}var p=(m.bbox?m:m.HTMLspanElement());if(!p||!p.bbox){return}var o=p.bbox;if(o.d>n.d){n.d=o.d}if(o.h>n.h){n.h=o.h}if(o.D!=null&&o.D>n.D){n.D=o.D}if(o.H!=null&&o.H>n.H){n.H=o.H}if(p.style.paddingLeft){n.w+=d.unEm(p.style.paddingLeft)*(p.scale||1)}if(n.w+o.lw<n.lw){n.lw=n.w+o.lw}if(n.w+o.rw>n.rw){n.rw=n.w+o.rw}n.w+=o.w;if(p.style.paddingRight){n.w+=d.unEm(p.style.paddingRight)*(p.scale||1)}if(o.width){n.width=o.width;n.minWidth=o.minWidth}if(o.tw){n.tw=o.tw}if(o.ic){n.ic=o.ic}else{delete n.ic}if(n.exactW&&!o.exactW){n.exactW=o.exactW}},HTMLemptyBBox:function(m){m.h=m.d=m.H=m.D=m.rw=-d.BIGDIMEN;m.w=0;m.lw=d.BIGDIMEN;return m},HTMLcleanBBox:function(m){if(m.h===this.BIGDIMEN){m.h=m.d=m.H=m.D=m.w=m.rw=m.lw=0}if(m.D<=m.d){delete m.D}if(m.H<=m.h){delete m.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(n){if(this.isEmbellished()){var m=this.Core();if(m&&m!==this){return m.HTMLcanStretch(n)}}return false},HTMLstretchH:function(n,m){return this.HTMLspanElement()},HTMLstretchV:function(n,m,o){return this.HTMLspanElement()},HTMLnotEmpty:function(m){while(m){if((m.type!=="mrow"&&m.type!=="texatom")||m.data.length>1){return true}m=m.data[0]}return false},HTMLmeasureChild:function(o,m){if(this.data[o]){d.Measured(this.data[o].toHTML(m),m)}else{m.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(o,m){if(!this.data[o]){this.SetData(o,i.mrow())}return this.data[o].toHTML(m)},HTMLcreateSpan:function(m){if(this.spanID){var n=this.HTMLspanElement();if(n&&(n.parentNode===m||(n.parentNode||{}).parentNode===m)){while(n.firstChild){n.removeChild(n.firstChild)}n.bbox=this.HTMLzeroBBox();n.scale=1;n.isMultChar=n.HH=null;n.style.cssText="";return n}}if(this.href){m=d.addElement(m,"a",{href:this.href,isMathJax:true})}m=d.addElement(m,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){m.style.display="inline-block"}if(this["class"]){m.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}m.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;m.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){m.style.cssText=this.style;if(m.style.fontSize){this.mathsize=m.style.fontSize;m.style.fontSize=""}this.styles={border:d.getBorders(m),padding:d.getPadding(m)};if(this.styles.border){m.style.border=""}if(this.styles.padding){m.style.padding=""}}if(this.href){m.parentNode.bbox=m.bbox}this.HTMLaddAttributes(m);return m},HTMLaddAttributes:function(p){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=b.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var o=0,n=u.length;o<n;o++){var s=u[o];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(p[s])==="undefined")){p.setAttribute(s,this.attr[s])}}}},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+d.idPostfix)},HTMLhandleVariant:function(n,m,o){d.handleVariant(n,m,o)},HTMLhandleSize:function(m){if(!m.scale){m.scale=this.HTMLgetScale();if(m.scale!==1){m.style.fontSize=d.Percent(m.scale)}}return m},HTMLhandleDir:function(n){var m=this.Get("dir",true);if(m){n.dir=m}return n},HTMLhandleColor:function(y){var A=this.getValues("mathcolor","color");if(this.mathbackground){A.mathbackground=this.mathbackground}if(this.background){A.background=this.background}if(this.style&&y.style.backgroundColor){A.mathbackground=y.style.backgroundColor;y.style.backgroundColor="transparent"}var v=(this.styles||{}).border,x=(this.styles||{}).padding;if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.background&&!this.mathbackground){A.mathbackground=A.background}if(A.mathcolor){y.style.color=A.mathcolor}if((A.mathbackground&&A.mathbackground!==i.COLOR.TRANSPARENT)||v||x){var C=y.bbox,B=(C.exact?0:1/d.em),w=0,u=0,o=y.style.paddingLeft,s=y.style.paddingRight;if(this.isToken){w=C.lw;u=C.rw-C.w}if(o!==""){w+=d.unEm(o)*(y.scale||1)}if(s!==""){u-=d.unEm(s)*(y.scale||1)}var n=(d.PaddingWidthBug||C.keepPadding||C.exactW?0:u-w);var q=Math.max(0,d.getW(y)+n);var z=C.h+C.d,m=-C.d,t=0,r=0;if(q>0){q+=2*B;w-=B}if(z>0){z+=2*B;m-=B}u=-q-w;if(v){u-=v.right;m-=v.bottom;t+=v.left;r+=v.right;C.h+=v.top;C.d+=v.bottom;C.w+=v.left+v.right;C.lw-=v.left;C.rw+=v.right}if(x){z+=x.top+x.bottom;q+=x.left+x.right;u-=x.right;m-=x.bottom;t+=x.left;r+=x.right;C.h+=x.top;C.d+=x.bottom;C.w+=x.left+x.right;C.lw-=x.left;C.rw+=x.right}if(r){y.style.paddingRight=d.Em(r)}var p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var m=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(m){m.parentNode.removeChild(m)}},HTMLhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var o=this.getValues("scriptlevel","lspace","rspace");if(o.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var n=this.HTMLgetMu(q);o.lspace=Math.max(0,d.length2em(o.lspace,n));o.rspace=Math.max(0,d.length2em(o.rspace,n));var m=this,p=this.Parent();while(p&&p.isEmbellished()&&p.Core()===m){m=p;p=p.Parent();q=m.HTMLspanElement()}if(o.lspace){q.style.paddingLeft=d.Em(o.lspace)}if(o.rspace){q.style.paddingRight=d.Em(o.rspace)}}}else{var r=this.texSpacing();if(r!==""){this.HTMLgetScale();r=d.length2em(r,this.scale)/(q.scale||1)*this.mscale;if(q.style.paddingLeft){r+=d.unEm(q.style.paddingLeft)}q.style.paddingLeft=d.Em(r)}}},HTMLgetScale:function(){if(this.scale){return this.scale*this.mscale}var o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o<m.scriptminsize){o=m.scriptminsize}}this.scale=o;this.mscale=d.length2em(m.mathsize);return o*this.mscale},HTMLgetMu:function(o){var m=1,n=this.getValues("scriptlevel","scriptsizemultiplier");if(o.scale&&o.scale!==1){m=1/o.scale}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n in d.FONTDATA.VARIANT)){n="normal"}return d.FONTDATA.VARIANT[n]},HTMLdrawBBox:function(m){var o=m.bbox;var n=d.Element("span",{style:{"font-size":m.style.fontSize,display:"inline-block",opacity:0.25,"margin-left":d.Em(-o.w)}},[["span",{style:{height:d.Em(o.h),width:d.Em(o.w),"background-color":"red",display:"inline-block"}}],["span",{style:{height:d.Em(o.d),width:d.Em(o.w),"margin-left":d.Em(-o.w),"vertical-align":d.Em(-o.d),"background-color":"green",display:"inline-block"}}]]);if(m.nextSibling){m.parentNode.insertBefore(n,m.nextSibling)}else{m.parentNode.appendChild(n)}}},{HTMLautoload:function(){this.constructor.Augment({toHTML:i.mbase.HTMLautoloadFail});var m=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(j.Require(m))},HTMLautoloadFail:function(){throw Error("HTML-CSS can't autoload '"+this.type+"'")},HTMLautoloadList:{},HTMLautoloadFile:function(m){if(i.mbase.HTMLautoloadList.hasOwnProperty(m)){throw Error("HTML-CSS can't autoload file '"+m+"'")}i.mbase.HTMLautoloadList[m]=true;var n=d.autoloadDir+"/"+m+".js";b.RestartAfter(j.Require(n))},HTMLstretchH:function(n,m){this.HTMLremoveColor();return this.toHTML(n,m)},HTMLstretchV:function(n,m,o){this.HTMLremoveColor();return this.toHTML(n,m,o)}});i.chars.Augment({toHTML:function(p,o,n,q){var t=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}p.bbox=null;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.entity.Augment({toHTML:function(p,o,n,q){var t=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}delete p.bbox;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.mi.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));q.bbox=null;var p=this.HTMLgetVariant();for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q,p)}}if(!q.bbox){q.bbox=this.HTMLzeroBBox()}var s=this.data.join(""),r=q.bbox;if(r.skew&&!d.isChar(s)){delete r.skew}if(r.rw>r.w&&d.isChar(s)&&!p.noIC){r.ic=r.rw-r.w;d.createBlank(q,r.ic/this.mscale);r.w=r.rw}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.mn.Augment({HTMLremapMinus:function(m){return m.replace(/^-/,"\u2212")},toHTML:function(r){r=this.HTMLhandleSize(this.HTMLcreateSpan(r));r.bbox=null;var q=this.HTMLgetVariant();var p=this.HTMLremapMinus;for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(r,q,p);p=null}}if(!r.bbox){r.bbox=this.HTMLzeroBBox()}if(!d.isChar(this.data.join(""))){delete r.bbox.skew}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);this.HTMLhandleDir(r);return r}});i.mo.Augment({toHTML:function(x){x=this.HTMLhandleSize(this.HTMLcreateSpan(x));if(this.data.length==0){return x}else{x.bbox=null}var A=this.data.join("");var s=this.HTMLgetVariant();var z=this.getValues("largeop","displaystyle");if(z.largeop){s=d.FONTDATA.VARIANT[z.displaystyle?"-largeOp":"-smallOp"]}var y=this.CoreParent(),r=(y&&y.isa(i.msubsup)&&this!==y.data[y.base]),o=(r?this.remapChars:null);if(d.isChar(A)&&y&&y.isa(i.munderover)&&d.isChar(this.CoreText(y.data[y.base]))){var u=y.data[y.over],w=y.data[y.under];if(u&&this===u.CoreMO()&&y.Get("accent")){o=d.FONTDATA.REMAPACCENT}else{if(w&&this===w.CoreMO()&&y.Get("accentunder")){o=d.FONTDATA.REMAPACCENTUNDER}}}if(r&&A.match(/['`"\u00B4\u2032-\u2037\u2057]/)){s=d.FONTDATA.VARIANT["-"+d.fontInUse+"-variant"]}for(var t=0,q=this.data.length;t<q;t++){if(this.data[t]){this.data[t].toHTML(x,s,this.remap,o)}}if(!x.bbox){x.bbox=this.HTMLzeroBBox()}if(!d.isChar(A)){delete x.bbox.skew}if(d.AccentBug&&x.bbox.w===0&&d.isChar(A)&&x.firstChild){x.firstChild.nodeValue+=d.NBSP;d.createSpace(x,0,0,-x.offsetWidth/d.em)}if(z.largeop){var v=d.TeX.axis_height*this.scale*this.mscale;var n=(x.bbox.h-x.bbox.d)/2-v;if(d.safariVerticalAlignBug&&x.lastChild.nodeName==="IMG"){x.lastChild.style.verticalAlign=d.Em(d.unEm(x.lastChild.style.verticalAlign||0)/d.em-n/x.scale)}else{if(d.konquerorVerticalAlignBug&&x.lastChild.nodeName==="IMG"){x.style.position="relative";x.lastChild.style.position="relative";x.lastChild.style.top=d.Em(n/x.scale)}else{x.style.verticalAlign=d.Em(-n/x.scale)}}x.bbox.h-=n;x.bbox.d+=n;if(x.bbox.rw>x.bbox.w){x.bbox.ic=x.bbox.rw-x.bbox.w;d.createBlank(x,x.bbox.ic/this.mscale);x.bbox.w=x.bbox.rw}}this.HTMLhandleSpace(x);this.HTMLhandleColor(x);this.HTMLhandleDir(x);return x},HTMLcanStretch:function(q){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&d.isChar(this.CoreText(o.data[o.base]))){var p=o.data[o.over],n=o.data[o.under];if(p&&this===p.CoreMO()&&o.Get("accent")){r=d.FONTDATA.REMAPACCENT[r]||r}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=d.FONTDATA.REMAPACCENTUNDER[r]||r}}}r=d.FONTDATA.DELIMITERS[r.charCodeAt(0)];var m=(r&&r.dir===q.substr(0,1));this.forceStretch=(m&&(this.Get("minsize",true)||this.Get("maxsize",true)));return m},HTMLstretchV:function(o,p,q){this.HTMLremoveColor();var t=this.getValues("symmetric","maxsize","minsize");var r=this.HTMLspanElement(),u=this.HTMLgetMu(r),s;var n=this.HTMLgetScale(),m=d.TeX.axis_height*n;if(t.symmetric){s=2*Math.max(p-m,q+m)}else{s=p+q}t.maxsize=d.length2em(t.maxsize,u,r.bbox.h+r.bbox.d);t.minsize=d.length2em(t.minsize,u,r.bbox.h+r.bbox.d);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!=t.minsize){s=[Math.max(s*d.TeX.delimiterfactor/1000,s-d.TeX.delimitershortfall),s]}r=this.HTMLcreateSpan(o);d.createDelimiter(r,this.data.join("").charCodeAt(0),s,n);if(t.symmetric){s=(r.bbox.h+r.bbox.d)/2+m}else{s=(r.bbox.h+r.bbox.d)*p/(p+q)}d.positionDelimiter(r,s);this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLstretchH:function(q,m){this.HTMLremoveColor();var o=this.getValues("maxsize","minsize","mathvariant","fontweight");if((o.fontweight==="bold"||parseInt(o.fontweight)>=600)&&!this.Get("mathvariant",true)){o.mathvariant=i.VARIANT.BOLD}var p=this.HTMLspanElement(),n=this.HTMLgetMu(p),r=p.scale;o.maxsize=d.length2em(o.maxsize,n,p.bbox.w);o.minsize=d.length2em(o.minsize,n,p.bbox.w);m=Math.max(o.minsize,Math.min(o.maxsize,m));p=this.HTMLcreateSpan(q);d.createDelimiter(p,this.data.join("").charCodeAt(0),m,r,o.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});i.mtext.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));var p=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){var r=this.Get("mathvariant");if(r==="monospace"){q.className+=" MJX-monospace"}else{if(r.match(/sans-serif/)){q.className+=" MJX-sans-serif"}}p={bold:p.bold,italic:p.italic,fontInherit:true}}for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q,p)}}if(!q.bbox){q.bbox=this.HTMLzeroBBox()}if(!d.isChar(this.data.join(""))){delete q.bbox.skew}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.merror.Augment({toHTML:function(n){var p=MathJax.HTML.addElement(n,"span",{style:{display:"inline-block"}});n=this.SUPER(arguments).toHTML.call(this,p);var o=d.getHD(p),m=d.getW(p);p.bbox={h:o.h,d:o.d,w:m,lw:0,rw:m,exactW:true};p.id=n.id;n.id=null;return p}});i.ms.Augment({toHTML:i.mbase.HTMLautoload});i.mglyph.Augment({toHTML:i.mbase.HTMLautoload});i.mspace.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);var o=this.getValues("height","depth","width");var n=this.HTMLgetMu(q);this.HTMLgetScale();o.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){o.mathbackground=this.background}var p=d.length2em(o.height,n)*this.mscale,r=d.length2em(o.depth,n)*this.mscale,m=d.length2em(o.width,n)*this.mscale;d.createSpace(q,p,r,m,o.mathbackground,true);return q}});i.mphantom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){var r=this.data[0].toHTML(q);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(q,o,s),q)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(q,o),q)}else{r=d.Measured(r,q)}}q.bbox={w:r.bbox.w,h:r.bbox.h,d:r.bbox.d,lw:0,rw:0,exactW:true};for(var p=0,n=q.childNodes.length;p<n;p++){q.childNodes[p].style.visibility="hidden"}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mpadded.Augment({toHTML:function(u,o,m){u=this.HTMLcreateSpan(u);if(this.data[0]!=null){var s=d.createStack(u,true);var p=d.createBox(s);var n=this.data[0].toHTML(p);if(m!=null){d.Remeasured(this.data[0].HTMLstretchV(p,o,m),p)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(p,o),p)}else{d.Measured(n,p)}}var v=this.getValues("height","depth","width","lspace","voffset"),t=0,r=0,w=this.HTMLgetMu(u);this.HTMLgetScale();if(v.lspace){t=this.HTMLlength2em(p,v.lspace,w)}if(v.voffset){r=this.HTMLlength2em(p,v.voffset,w)}d.placeBox(p,t,r);t/=this.mscale;r/=this.mscale;u.bbox={h:p.bbox.h,d:p.bbox.d,w:p.bbox.w,exactW:true,lw:p.bbox.lw+t,rw:p.bbox.rw+t,H:Math.max((p.bbox.H==null?-d.BIGDIMEN:p.bbox.H+r),p.bbox.h+r),D:Math.max((p.bbox.D==null?-d.BIGDIMEN:p.bbox.D-r),p.bbox.d-r)};if(v.height!==""){u.bbox.h=this.HTMLlength2em(p,v.height,w,"h",0)}if(v.depth!==""){u.bbox.d=this.HTMLlength2em(p,v.depth,w,"d",0)}if(v.width!==""){u.bbox.w=this.HTMLlength2em(p,v.width,w,"w",0)}if(u.bbox.H<=u.bbox.h){delete u.bbox.H}if(u.bbox.D<=u.bbox.d){delete u.bbox.D}var q=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;u.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||q.exec(v.height)||q.exec(v.width)||q.exec(v.depth));d.setStackWidth(s,u.bbox.w)}this.HTMLhandleSpace(u);this.HTMLhandleColor(u);return u},HTMLlength2em:function(s,t,o,u,n){if(n==null){n=-d.BIGDIMEN}var q=String(t).match(/width|height|depth/);var r=(q?s.bbox[q[0].charAt(0)]:(u?s.bbox[u]:0));var p=d.length2em(t,o,r/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,s.bbox[u]+p)}else{return p}},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mrow.Augment({HTMLlineBreaks:function(m){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&m.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(o,m){this.HTMLremoveColor();var n=this.HTMLspanElement();this.data[this.core].HTMLstretchH(n,m);this.HTMLcomputeBBox(n,true);this.HTMLhandleColor(n);return n},HTMLstretchV:function(o,n,p){this.HTMLremoveColor();var m=this.HTMLspanElement();this.data[this.core].HTMLstretchV(m,n,p);this.HTMLcomputeBBox(m,true);this.HTMLhandleColor(m);return m}});i.mstyle.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mfrac.Augment({toHTML:function(F){F=this.HTMLcreateSpan(F);var o=d.createStack(F);var w=d.createBox(o),s=d.createBox(o);d.MeasureSpans([this.HTMLboxChild(0,w),this.HTMLboxChild(1,s)]);var m=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var K=this.HTMLgetScale(),E=m.displaystyle;var J=d.TeX.axis_height*K;if(m.bevelled){var I=(E?0.4:0.15);var x=Math.max(w.bbox.h+w.bbox.d,s.bbox.h+s.bbox.d)+2*I;var G=d.createBox(o);d.createDelimiter(G,47,x);d.placeBox(w,0,(w.bbox.d-w.bbox.h)/2+J+I);d.placeBox(G,w.bbox.w-I/2,(G.bbox.d-G.bbox.h)/2+J);d.placeBox(s,w.bbox.w+G.bbox.w-I,(s.bbox.d-s.bbox.h)/2+J-I)}else{var n=Math.max(w.bbox.w,s.bbox.w);var A=d.thickness2em(m.linethickness,this.scale)*this.mscale,C,B,z,y;var D=d.TeX.min_rule_thickness/this.em;if(E){z=d.TeX.num1;y=d.TeX.denom1}else{z=(A===0?d.TeX.num3:d.TeX.num2);y=d.TeX.denom2}z*=K;y*=K;if(A===0){C=Math.max((E?7:3)*d.TeX.rule_thickness,2*D);B=(z-w.bbox.d)-(s.bbox.h-y);if(B<C){z+=(C-B)/2;y+=(C-B)/2}}else{C=Math.max((E?2:0)*D+A,A/2+1.5*D);B=(z-w.bbox.d)-(J+A/2);if(B<C){z+=C-B}B=(J-A/2)-(s.bbox.h-y);if(B<C){y+=C-B}var r=d.createBox(o);d.createRule(r,A,0,n+2*A);d.placeBox(r,0,J-A/2)}d.alignBox(w,m.numalign,z,0,true);d.alignBox(s,m.denomalign,-y,0,true)}this.HTMLhandleSpace(F);this.HTMLhandleColor(F);return F},HTMLcanStretch:function(m){return false},HTMLhandleSpace:function(n){if(!this.texWithDelims){var o=d.TeX.nulldelimiterspace*this.mscale;var m=n.childNodes[d.msiePaddingWidthBug?1:0].style;m.marginLeft=m.marginRight=d.Em(o);n.bbox.w+=2*o;n.bbox.rw+=2*o}this.SUPER(arguments).HTMLhandleSpace.call(this,n)}});i.msqrt.Augment({toHTML:function(z){z=this.HTMLcreateSpan(z);var B=d.createStack(z);var r=d.createBox(B),w=d.createBox(B),v=d.createBox(B);var u=this.HTMLgetScale();var C=d.TeX.rule_thickness*u,o,n,A,s;if(this.Get("displaystyle")){o=d.TeX.x_height*u}else{o=C}n=Math.max(C+o/4,1.5*d.TeX.min_rule_thickness/this.em);var m=this.HTMLboxChild(0,r);A=m.bbox.h+m.bbox.d+n+C;d.createDelimiter(v,8730,A,u);d.MeasureSpans([m,v]);s=m.bbox.w;var y=0;if(v.isMultiChar||(d.AdjustSurd&&d.imgFonts)){v.bbox.w*=0.95}if(v.bbox.h+v.bbox.d>A){n=((v.bbox.h+v.bbox.d)-(A-C))/2}var D=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!D||s<(D.HW[0]||[0])[0]*u||u<0.75){d.createRule(w,0,C,s);w.bbox.h=-C}else{d.createDelimiter(w,d.FONTDATA.RULECHAR,s,u)}A=m.bbox.h+n+C;n=A*d.rfuzz;if(v.isMultiChar){n=d.rfuzz}y=this.HTMLaddRoot(B,v,y,v.bbox.h+v.bbox.d-A,u);d.placeBox(v,y,A-v.bbox.h);d.placeBox(w,y+v.bbox.w,A-w.bbox.h+n);d.placeBox(r,y+v.bbox.w,0);this.HTMLhandleSpace(z);this.HTMLhandleColor(z);return z},HTMLaddRoot:function(o,n,m,q,p){return m}});i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(u,n,s,q,m){var o=d.createBox(u);if(this.data[1]){var r=this.data[1].toHTML(o);r.style.paddingRight=r.style.paddingLeft="";d.Measured(r,o)}else{o.bbox=this.HTMLzeroBBox()}var p=this.HTMLrootHeight(n.bbox.h+n.bbox.d,m,o)-q;var t=Math.min(o.bbox.w,o.bbox.rw);s=Math.max(t,n.offset);d.placeBox(o,s-t,p);return s-n.offset},HTMLrootHeight:function(o,n,m){return 0.45*(o-0.9*n)+0.6*n+Math.max(0,m.bbox.d-0.075)}});i.mfenced.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.data.open){this.data.open.toHTML(q)}if(this.data[0]!=null){this.data[0].toHTML(q)}for(var o=1,n=this.data.length;o<n;o++){if(this.data[o]){if(this.data["sep"+o]){this.data["sep"+o].toHTML(q)}this.data[o].toHTML(q)}}if(this.data.close){this.data.close.toHTML(q)}var s=this.HTMLcomputeBBox(q);var p=q.bbox.h,r=q.bbox.d;for(o=0,n=s.length;o<n;o++){s[o].HTMLstretchV(q,p,r)}if(s.length){this.HTMLcomputeBBox(q,true)}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLcomputeBBox:function(r,q){var o=r.bbox={},s=[];this.HTMLcheckStretchy(this.data.open,o,s,q);this.HTMLcheckStretchy(this.data[0],o,s,q);for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){this.HTMLcheckStretchy(this.data["sep"+p],o,s,q);this.HTMLcheckStretchy(this.data[p],o,s,q)}}this.HTMLcheckStretchy(this.data.close,o,s,q);this.HTMLcleanBBox(o);return s},HTMLcheckStretchy:function(m,n,p,o){if(m){if(!o&&m.HTMLcanStretch("Vertical")){p.push(m);m=(m.CoreMO()||m)}this.HTMLcombineBBoxes(m,n)}}});i.menclose.Augment({toHTML:i.mbase.HTMLautoload});i.maction.Augment({toHTML:i.mbase.HTMLautoload});i.semantics.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.munderover.Augment({toHTML:function(M,I,G){var n=this.getValues("displaystyle","accent","accentunder","align");var q=this.data[this.base];if(!n.displaystyle&&q!=null&&(q.movablelimits||q.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toHTML.call(this,M)}M=this.HTMLcreateSpan(M);var Q=this.HTMLgetScale();var r=d.createStack(M);var s=[],p=[],O=[],z,N,J;for(N=0,J=this.data.length;N<J;N++){if(this.data[N]!=null){z=s[N]=d.createBox(r);p[N]=this.data[N].toHTML(z);if(N==this.base){if(G!=null){this.data[this.base].HTMLstretchV(z,I,G)}else{if(I!=null){this.data[this.base].HTMLstretchH(z,I)}}O[N]=(G==null&&I!=null?false:this.data[N].HTMLcanStretch("Horizontal"));if(this.data[this.over]&&n.accent){p[N].bbox.h=Math.max(p[N].bbox.h,Q*d.TeX.x_height)}}else{O[N]=this.data[N].HTMLcanStretch("Horizontal");p[N].style.paddingLeft=p[N].style.paddingRight=""}}}d.MeasureSpans(p);var o=-d.BIGDIMEN,L=o;for(N=0,J=this.data.length;N<J;N++){if(this.data[N]){if(s[N].bbox.w>L){L=s[N].bbox.w}if(!O[N]&&L>o){o=L}}}if(G==null&&I!=null){o=I}else{if(o==-d.BIGDIMEN){o=L}}for(N=L=0,J=this.data.length;N<J;N++){if(this.data[N]){z=s[N];if(O[N]){z.bbox=this.data[N].HTMLstretchH(z,o).bbox;if(N!==this.base){p[N].style.paddingLeft=p[N].style.paddingRight=""}}if(z.bbox.w>L){L=z.bbox.w}}}var F=d.TeX.rule_thickness*this.mscale,H=d.FONTDATA.TeX_factor;var w,u,B,A,v,E,K,P=0;q=s[this.base]||{bbox:this.HTMLzeroBBox()};if(q.bbox.ic){P=1.3*q.bbox.ic+0.05}for(N=0,J=this.data.length;N<J;N++){if(this.data[N]!=null){z=s[N];v=d.TeX.big_op_spacing5*Q;var C=(N!=this.base&&n[this.ACCENTS[N]]);if(C&&z.bbox.w<=1/d.em+0.0001){z.bbox.w=z.bbox.rw-z.bbox.lw;z.bbox.noclip=true;if(z.bbox.lw){z.insertBefore(d.createSpace(z.parentNode,0,0,-z.bbox.lw),z.firstChild)}d.createBlank(z,0,0,z.bbox.rw+0.1)}E={left:0,center:(L-z.bbox.w)/2,right:L-z.bbox.w}[n.align];w=E;u=0;if(N==this.over){if(C){K=Math.max(F*Q*H,2.5/this.em);v=0;if(q.bbox.skew){w+=q.bbox.skew;M.bbox.skew=q.bbox.skew;if(w+z.bbox.w>L){M.bbox.skew+=(L-z.bbox.w-w)/2}}}else{B=d.TeX.big_op_spacing1*Q*H;A=d.TeX.big_op_spacing3*Q*H;K=Math.max(B,A-Math.max(0,z.bbox.d))}K=Math.max(K,1.5/this.em);w+=P/2;u=q.bbox.h+z.bbox.d+K;z.bbox.h+=v}else{if(N==this.under){if(C){K=3*F*Q*H;v=0}else{B=d.TeX.big_op_spacing2*Q*H;A=d.TeX.big_op_spacing4*Q*H;K=Math.max(B,A-z.bbox.h)}K=Math.max(K,1.5/this.em);w-=P/2;u=-(q.bbox.d+z.bbox.h+K);z.bbox.d+=v}}d.placeBox(z,w,u)}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.msubsup.Augment({toHTML:function(M,K,F){M=this.HTMLcreateSpan(M);var P=this.HTMLgetScale(),J=this.HTMLgetMu(M);var y=d.createStack(M),n,w=[];var x=d.createBox(y);if(this.data[this.base]){w.push(this.data[this.base].toHTML(x));if(F!=null){this.data[this.base].HTMLstretchV(x,K,F)}else{if(K!=null){this.data[this.base].HTMLstretchH(x,K)}}}else{x.bbox=this.HTMLzeroBBox()}var N=d.TeX.x_height*P,E=d.TeX.scriptspace*P*0.75;var m,z;if(this.HTMLnotEmpty(this.data[this.sup])){m=d.createBox(y);w.push(this.data[this.sup].toHTML(m))}if(this.HTMLnotEmpty(this.data[this.sub])){z=d.createBox(y);w.push(this.data[this.sub].toHTML(z))}d.MeasureSpans(w);if(m){m.bbox.w+=E;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}if(z){z.bbox.w+=E;z.bbox.rw=Math.max(z.bbox.w,z.bbox.rw)}d.placeBox(x,0,0);var o=P;if(m){o=this.data[this.sup].HTMLgetScale()}else{if(z){o=this.data[this.sub].HTMLgetScale()}}var H=d.TeX.sup_drop*o,G=d.TeX.sub_drop*o;var B=x.bbox.h-H,A=x.bbox.d+G,O=0,I;if(x.bbox.ic){x.bbox.w-=x.bbox.ic;O=1.3*x.bbox.ic+0.05}if(this.data[this.base]&&K==null&&F==null&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(d.isChar(this.data[this.base].data.join(""))&&w[0].scale===1&&!this.data[this.base].Get("largeop")){B=A=0}}var L=this.getValues("subscriptshift","superscriptshift");L.subscriptshift=(L.subscriptshift===""?0:d.length2em(L.subscriptshift,J));L.superscriptshift=(L.superscriptshift===""?0:d.length2em(L.superscriptshift,J));if(!m){if(z){A=Math.max(A,d.TeX.sub1*P,z.bbox.h-(4/5)*N,L.subscriptshift);d.placeBox(z,x.bbox.w,-A,z.bbox)}}else{if(!z){n=this.getValues("displaystyle","texprimestyle");I=d.TeX[(n.displaystyle?"sup1":(n.texprimestyle?"sup3":"sup2"))];B=Math.max(B,I*P,m.bbox.d+(1/4)*N,L.superscriptshift);d.placeBox(m,x.bbox.w+O,B,m.bbox)}else{A=Math.max(A,d.TeX.sub2*P);var C=d.TeX.rule_thickness*P;if((B-m.bbox.d)-(z.bbox.h-A)<3*C){A=3*C-B+m.bbox.d+z.bbox.h;H=(4/5)*N-(B-m.bbox.d);if(H>0){B+=H;A-=H}}d.placeBox(m,x.bbox.w+O,Math.max(B,L.superscriptshift));d.placeBox(z,x.bbox.w,-Math.max(A,L.subscriptshift))}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload});i.mtable.Augment({toHTML:i.mbase.HTMLautoload});i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload});i.annotation.Augment({toHTML:function(m){return this.HTMLcreateSpan(m)}});i.math.Augment({toHTML:function(E,B,t){var u,w,x,r,m=E;if(!t||t===d.PHASE.I){var C=d.addElement(E,"nobr",{isMathJax:true});E=this.HTMLcreateSpan(C);var n=this.Get("alttext");if(n&&!E.getAttribute("aria-label")){E.setAttribute("aria-label",n)}u=d.createStack(E);w=d.createBox(u);u.style.fontSize=C.parentNode.style.fontSize;C.parentNode.style.fontSize="";if(this.data[0]!=null){i.mbase.prototype.displayAlign=b.config.displayAlign;i.mbase.prototype.displayIndent=b.config.displayIndent;if(String(b.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}x=this.data[0].toHTML(w);x.bbox.exactW=false}}else{E=E.firstChild.firstChild;if(this.href){E=E.firstChild}u=E.firstChild;if(u.style.position!=="relative"){u=u.nextSibling}w=u.firstChild;x=w.firstChild}r=((!t||t===d.PHASE.II)?d.Measured(x,w):x);if(!t||t===d.PHASE.III){d.placeBox(w,0,0);var q=r.bbox.w;q=Math.abs(q)<0.006?0:Math.max(0,Math.round(q*this.em)+0.25);E.style.width=d.EmRounded(q/d.outerEm);E.style.display="inline-block";var A=1/d.em,G=d.em/d.outerEm;d.em/=G;E.bbox.h*=G;E.bbox.d*=G;E.bbox.w*=G;E.bbox.lw*=G;E.bbox.rw*=G;if(E.bbox.H){E.bbox.H*=G}if(E.bbox.D){E.bbox.D*=G}if(r&&r.bbox.width!=null){E.style.minWidth=(r.bbox.minWidth||E.style.width);E.style.width=r.bbox.width;w.style.width=u.style.width="100%";m.className+=" MathJax_FullWidth"}var D=this.HTMLhandleColor(E);if(r){d.createRule(E,(r.bbox.h+A)*G,(r.bbox.d+A)*G,0)}if(!this.isMultiline&&this.Get("display")==="block"&&E.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===i.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}if(o.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift="0"}var F=d.length2em(o.indentshift,1,d.scale*d.cwidth);if(this.displayIndent!=="0"){var y=d.length2em(this.displayIndent,1,d.scale*d.cwidth);F+=(o.indentalign===i.INDENTALIGN.RIGHT?-y:y)}m.style.textAlign=B.style.textAlign=o.indentalign;if(F){b.Insert(E.style,({left:{marginLeft:d.Em(F)},right:{marginRight:d.Em(-F)},center:{marginLeft:d.Em(F),marginRight:d.Em(-F)}})[o.indentalign]);if(D){var v=parseFloat(D.style.marginLeft||"0")+F,s=parseFloat(D.style.marginRight||"0")-F;D.style.marginLeft=d.Em(v);D.style.marginRight=d.Em(s+(o.indentalign==="right"?E.bbox.w+F-E.bbox.w:0));if(d.msieColorBug&&o.indentalign==="right"){if(parseFloat(D.style.marginLeft)>0){var z=MathJax.HTML.addElement(D.parentNode,"span");z.style.marginLeft=d.Em(s+Math.min(0,E.bbox.w+F));D.nextSibling.style.marginRight="0em"}D.nextSibling.style.marginLeft="0em";D.style.marginRight=D.style.marginLeft="0em"}}}}}return E},HTMLspanElement:i.mbase.prototype.HTMLspanElement});i.TeXAtom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){if(this.texClass===i.TEXCLASS.VCENTER){var m=d.createStack(q);var r=d.createBox(m);var t=this.data[0].toHTML(r);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(r,o,s),r)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(r,o),r)}else{d.Measured(t,r)}}var n=d.TeX.axis_height*this.HTMLgetScale();d.placeBox(r,0,n-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var p=this.data[0].toHTML(q,o,s);if(s!=null){p=this.data[0].HTMLstretchV(r,o,s)}else{if(o!=null){p=this.data[0].HTMLstretchH(r,o)}}q.bbox=p.bbox}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});b.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(m){var q=(document.documentMode||0);var p=m.versionAtLeast("7.0");var o=m.versionAtLeast("8.0")&&q>7;var n=(document.compatMode==="BackCompat");if(q<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:(q<8),msieColorPositionBug:true,msieRelativeWidthBug:n,msieDisappearingBug:(q>=8),msieMarginScaleBug:(q<8),msiePaddingWidthBug:true,msieBorderWidthBug:n,msieFrameSizeBug:(q<=8),msieInlineBlockAlignBug:(!o||n),msiePlaceBoxBug:(o&&!n),msieClipRectBug:!o,msieNegativeSpaceBug:n,msieRuleBug:(q<7),cloneNodeBug:(o&&m.version==="8.0"),msieItalicWidthBug:true,initialSkipBug:(q<8),msieNegativeBBoxBug:(q>=8),msieIE6:!p,msieItalicWidthBug:true,FontFaceBug:(q<9),msieFontCSSBug:m.isIE9,allowWebFonts:(q>=9?"woff":"eot")})},Firefox:function(n){var o=false;if(n.versionAtLeast("3.5")){var m=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,m.length)===m){o="otf"}}d.Augment({ffVerticalAlignBug:!n.versionAtLeast("20.0"),AccentBug:true,allowWebFonts:o,ffFontOptimizationBug:true})},Safari:function(r){var p=r.versionAtLeast("3.0");var o=r.versionAtLeast("3.1");var m=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var n=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var s=(o&&r.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!r.versionAtLeast("5.0"))||(n!=null&&(n[1]<2||(n[1]==2&&n[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:((r.webkit||0)>=538?d.EmRounded:d.Em),rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!o,safariTextNodeBug:!p,forceReflow:true,FontFaceBug:true,combiningCharBug:parseInt(r.webkit)>=602,allowWebFonts:(o&&!s?"otf":false)});if(m){d.Augment({webFontDefault:(r.isMobile?"sans-serif":"serif")})}if(r.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(s){var q=b.config["HTML-CSS"];if(q){q.availableFonts=[];q.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(m){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:-0.02,AccentBug:true,AdjustSurd:true,FontFaceBug:m.versionAtLeast("32.0"),negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(m.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(m){m.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:m.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(m.versionAtLeast("10.0")&&!m.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(m){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML-full.js");
diff --git a/config/TeX-AMS_HTML.js b/config/TeX-AMS_HTML.js
index 300d9bd41f..96894d76c7 100644
--- a/config/TeX-AMS_HTML.js
+++ b/config/TeX-AMS_HTML.js
@@ -37,21 +37,109 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_HTML.js");
diff --git a/config/TeX-AMS_SVG-full.js b/config/TeX-AMS_SVG-full.js
index c136618d8a..7b6b5fc1b3 100644
--- a/config/TeX-AMS_SVG-full.js
+++ b/config/TeX-AMS_SVG-full.js
@@ -39,23 +39,111 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
-(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);var o=n.Add(this.data[0].toSVG());n.Clean();if(o.ic){n.ic=o.ic}this.SVGhandleColor(n)}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aI<aE;aI++){S=this.data[aI];az=(S.type==="mlabeledtr"?aK:0);O[aI]=[];z[aI]=ac;I[aI]=ag;for(aG=az,u=S.data.length+az;aG<u;aG++){if(k[aG]==null){if(aG>w){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aI<aE;aI++){am[aI]=d.length2em(am[aI],v)}for(aI=0,aE=T.length;aI<aE;aI++){T[aI]=d.length2em(T[aI],v)}while(am.length<w){am.push(am[am.length-1])}while(ai.length<=w){ai.push(ai[ai.length-1])}while(N.length<w){N.push(N[N.length-1])}while(ar.length<=w){ar.push(ar[ar.length-1])}while(T.length<O.length){T.push(T[T.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(h.length<O.length){h.push(h[h.length-1])}if(K[aK]){ai[aK]=(aN.side.substr(0,1)==="l"?"left":"right");am[aK]=-k[aK]}for(aI=0,aE=O.length;aI<aE;aI++){S=this.data[aI];aw[aI]=[];if(S.rowalign){L[aI]=S.rowalign}if(S.columnalign){aw[aI]=ao(S.columnalign);while(aw[aI].length<=w){aw[aI].push(aw[aI][aw[aI].length-1])}}}if(aN.equalrows){var U=Math.max.apply(Math,z),aq=Math.max.apply(Math,I);for(aI=0,aE=O.length;aI<aE;aI++){az=((U+aq)-(z[aI]+I[aI]))/2;z[aI]+=az;I[aI]+=az}}aA=z[0]+I[O.length-1];for(aI=0,aE=O.length-1;aI<aE;aI++){aA+=Math.max(0,I[aI]+z[aI+1]+T[aI])}var ae=0,ab=0,aB,aL=aA;if(aN.frame!=="none"||(aN.columnlines+aN.rowlines).match(/solid|dashed/)){var t=ao(aN.framespacing);if(t.length!=2){t=ao(this.defaults.framespacing)}ae=d.length2em(t[0],v);ab=d.length2em(t[1],v);aL=aA+2*ab}var g,ay,aD="";if(typeof(aN.align)!=="string"){aN.align=String(aN.align)}if(aN.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aD=RegExp.$3||"";aN.align=RegExp.$1}else{aN.align=this.defaults.align}if(aD!==""){aD=parseInt(aD);if(aD<0){aD=O.length+1+aD}if(aD<1){aD=1}else{if(aD>O.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI<aE;aI++){var Z=Math.max(0,I[aI]+z[aI+1]+T[aI]);g+=Z;ay+=Z}}else{g=({top:-(z[0]+ab),bottom:aA+ab-z[0],center:aA/2-z[0],baseline:aA/2-z[0],axis:aA/2+d.TeX.axis_height*ap-z[0]})[aN.align];ay=({top:-(aA+2*ab),bottom:0,center:-(aA/2+ab),baseline:-(aA/2+ab),axis:d.TeX.axis_height*ap-aA/2-ab})[aN.align]}var at,ax=0,V=0,X=0,aC=0,aJ=0,r=[],B=[],aj=1;if(aN.equalcolumns&&aN.width!=="auto"){at=d.length2em(aN.width,v);for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}at/=w;for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){k[aI]=at}}else{for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){if(ar[aI]==="auto"){V+=k[aI]}else{if(ar[aI]==="fit"){B[aJ]=aI;aJ++;V+=k[aI]}else{if(ar[aI].match(/%$/)){r[aC]=aI;aC++;X+=k[aI];ax+=d.length2em(ar[aI],v,1)}else{k[aI]=d.length2em(ar[aI],v);V+=k[aI]}}}}if(aN.width==="auto"){if(ax>0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}}for(aI=0,aE=r.length;aI<aE;aI++){k[r[aI]]=d.length2em(ar[r[aI]],v,at*aj);V+=k[r[aI]]}if(Math.abs(at-V)>0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aI<aE;aI++){k[B[aI]]+=at}}else{at=at/V;for(aG=0;aG<=w;aG++){k[aG]*=at}}}if(aN.equalcolumns){var af=Math.max.apply(Math,k);for(aG=0;aG<=w;aG++){k[aG]=af}}}var au=g,l,aF;az=(K[aK]?aK:0);for(aG=az;aG<=w;aG++){K[aG].w=k[aG];for(aI=0,aE=O.length;aI<aE;aI++){if(O[aI][aG]){az=(this.data[aI].type==="mlabeledtr"?aK:0);an=this.data[aI].data[aG-az];if(an.SVGcanStretch("Horizontal")){O[aI][aG]=an.SVGstretchH(k[aG])}else{if(an.SVGcanStretch("Vertical")){E=an.CoreMO();var ad=E.symmetric;E.symmetric=false;O[aI][aG]=an.SVGstretchV(z[aI],I[aI]);E.symmetric=ad}}aF=an.rowalign||this.data[aI].rowalign||L[aI];l=({top:z[aI]-O[aI][aG].h,bottom:O[aI][aG].d-I[aI],center:((z[aI]-I[aI])-(O[aI][aG].h-O[aI][aG].d))/2,baseline:0,axis:0})[aF]||0;aF=(an.columnalign||aw[aI][aG]||ai[aG]);K[aG].Align(O[aI][aG],aF,0,au+l)}if(aI<O.length-1){au-=Math.max(0,I[aI]+z[aI+1]+T[aI])}}au=g}var ah=1.5*d.em;var av=ae-ah/2;for(aG=0;aG<=w;aG++){o.Add(K[aG],av,0);av+=k[aG]+am[aG];if(N[aG]!=="none"&&aG<w&&aG!==aK){o.Add(b.VLINE(aL,ah,N[aG]),av-am[aG]/2,ay)}}o.w+=ae;o.d=-ay;o.h=aL+ay;aB=o.w;if(aN.frame!=="none"){o.Add(b.HLINE(aB,ah,aN.frame),0,ay+aL-ah);o.Add(b.HLINE(aB,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),aB-ah,ay)}au=g-ah/2;for(aI=0,aE=O.length-1;aI<aE;aI++){l=Math.max(0,I[aI]+z[aI+1]+T[aI]);if(h[aI]!==a.LINES.NONE&&h[aI]!==""){o.Add(b.HLINE(aB,ah,h[aI]),0,au-I[aI]-(l-I[aI]-z[aI+1])/2)}au-=l}o.Clean();this.SVGhandleSpace(o);this.SVGhandleColor(o);if(K[aK]){o.tw=Math.max(o.w,o.r)-Math.min(0,o.l);var R=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(R.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){R.indentalign=R.indentalignfirst}if(R.indentalign===a.INDENTALIGN.AUTO){R.indentalign=this.displayAlign}if(R.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){R.indentshift=R.indentshiftfirst}if(R.indentshift==="auto"||R.indentshift===""){R.indentshift="0"}var ak=d.length2em(R.indentshift,v,d.cwidth);var Q=d.length2em(aN.minlabelspacing,v,d.cwidth);var al=Q+K[aK].w,aO=0,aH=o.w;var e=d.length2em(this.displayIndent,v,d.cwidth);az=(ai[aK]===a.INDENTALIGN.RIGHT?-1:1);if(R.indentalign===a.INDENTALIGN.CENTER){var q=(d.cwidth-aH)/2;ak+=e;if(al+az*aO>q+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.9",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}o.D=o.d;o.H=o.h;o.r=Math.max(0,Math.min(o.w,o.r));o.l=Math.max(0,Math.min(o.w,o.l))}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(o);var p=o.Add(this.data[0].toSVG(n,q));o.Clean();if(p.ic){o.ic=p.ic}this.SVGhandleColor(o)}this.SVGsaveData(o);return o}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aI<aE;aI++){S=this.data[aI];az=(S.type==="mlabeledtr"?aK:0);O[aI]=[];z[aI]=ac;I[aI]=ag;for(aG=az,u=S.data.length+az;aG<u;aG++){if(k[aG]==null){if(aG>w){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aI<aE;aI++){am[aI]=d.length2em(am[aI],v)}for(aI=0,aE=T.length;aI<aE;aI++){T[aI]=d.length2em(T[aI],v)}while(am.length<w){am.push(am[am.length-1])}while(ai.length<=w){ai.push(ai[ai.length-1])}while(N.length<w){N.push(N[N.length-1])}while(ar.length<=w){ar.push(ar[ar.length-1])}while(T.length<O.length){T.push(T[T.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(h.length<O.length){h.push(h[h.length-1])}if(K[aK]){ai[aK]=(aN.side.substr(0,1)==="l"?"left":"right");am[aK]=-k[aK]}for(aI=0,aE=O.length;aI<aE;aI++){S=this.data[aI];aw[aI]=[];if(S.rowalign){L[aI]=S.rowalign}if(S.columnalign){aw[aI]=ao(S.columnalign);while(aw[aI].length<=w){aw[aI].push(aw[aI][aw[aI].length-1])}}}if(aN.equalrows){var U=Math.max.apply(Math,z),aq=Math.max.apply(Math,I);for(aI=0,aE=O.length;aI<aE;aI++){az=((U+aq)-(z[aI]+I[aI]))/2;z[aI]+=az;I[aI]+=az}}aA=z[0]+I[O.length-1];for(aI=0,aE=O.length-1;aI<aE;aI++){aA+=Math.max(0,I[aI]+z[aI+1]+T[aI])}var ae=0,ab=0,aB,aL=aA;if(aN.frame!=="none"||(aN.columnlines+aN.rowlines).match(/solid|dashed/)){var t=ao(aN.framespacing);if(t.length!=2){t=ao(this.defaults.framespacing)}ae=d.length2em(t[0],v);ab=d.length2em(t[1],v);aL=aA+2*ab}var g,ay,aD="";if(typeof(aN.align)!=="string"){aN.align=String(aN.align)}if(aN.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aD=RegExp.$3||"";aN.align=RegExp.$1}else{aN.align=this.defaults.align}if(aD!==""){aD=parseInt(aD);if(aD<0){aD=O.length+1+aD}if(aD<1){aD=1}else{if(aD>O.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI<aE;aI++){var Z=Math.max(0,I[aI]+z[aI+1]+T[aI]);g+=Z;ay+=Z}}else{g=({top:-(z[0]+ab),bottom:aA+ab-z[0],center:aA/2-z[0],baseline:aA/2-z[0],axis:aA/2+d.TeX.axis_height*ap-z[0]})[aN.align];ay=({top:-(aA+2*ab),bottom:0,center:-(aA/2+ab),baseline:-(aA/2+ab),axis:d.TeX.axis_height*ap-aA/2-ab})[aN.align]}var at,ax=0,V=0,X=0,aC=0,aJ=0,r=[],B=[],aj=1;if(aN.equalcolumns&&aN.width!=="auto"){at=d.length2em(aN.width,v);for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}at/=w;for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){k[aI]=at}}else{for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){if(ar[aI]==="auto"){V+=k[aI]}else{if(ar[aI]==="fit"){B[aJ]=aI;aJ++;V+=k[aI]}else{if(ar[aI].match(/%$/)){r[aC]=aI;aC++;X+=k[aI];ax+=d.length2em(ar[aI],v,1)}else{k[aI]=d.length2em(ar[aI],v);V+=k[aI]}}}}if(aN.width==="auto"){if(ax>0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}}for(aI=0,aE=r.length;aI<aE;aI++){k[r[aI]]=d.length2em(ar[r[aI]],v,at*aj);V+=k[r[aI]]}if(Math.abs(at-V)>0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aI<aE;aI++){k[B[aI]]+=at}}else{at=at/V;for(aG=0;aG<=w;aG++){k[aG]*=at}}}if(aN.equalcolumns){var af=Math.max.apply(Math,k);for(aG=0;aG<=w;aG++){k[aG]=af}}}var au=g,l,aF;az=(K[aK]?aK:0);for(aG=az;aG<=w;aG++){K[aG].w=k[aG];for(aI=0,aE=O.length;aI<aE;aI++){if(O[aI][aG]){az=(this.data[aI].type==="mlabeledtr"?aK:0);an=this.data[aI].data[aG-az];if(an.SVGcanStretch("Horizontal")){O[aI][aG]=an.SVGstretchH(k[aG])}else{if(an.SVGcanStretch("Vertical")){E=an.CoreMO();var ad=E.symmetric;E.symmetric=false;O[aI][aG]=an.SVGstretchV(z[aI],I[aI]);E.symmetric=ad}}aF=an.rowalign||this.data[aI].rowalign||L[aI];l=({top:z[aI]-O[aI][aG].h,bottom:O[aI][aG].d-I[aI],center:((z[aI]-I[aI])-(O[aI][aG].h-O[aI][aG].d))/2,baseline:0,axis:0})[aF]||0;aF=(an.columnalign||aw[aI][aG]||ai[aG]);K[aG].Align(O[aI][aG],aF,0,au+l)}if(aI<O.length-1){au-=Math.max(0,I[aI]+z[aI+1]+T[aI])}}au=g}var ah=1.5*d.em;var av=ae-ah/2;for(aG=0;aG<=w;aG++){o.Add(K[aG],av,0);av+=k[aG]+am[aG];if(N[aG]!=="none"&&aG<w&&aG!==aK){o.Add(b.VLINE(aL,ah,N[aG]),av-am[aG]/2,ay)}}o.w+=ae;o.d=-ay;o.h=aL+ay;aB=o.w;if(aN.frame!=="none"){o.Add(b.HLINE(aB,ah,aN.frame),0,ay+aL-ah);o.Add(b.HLINE(aB,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),aB-ah,ay)}au=g-ah/2;for(aI=0,aE=O.length-1;aI<aE;aI++){l=Math.max(0,I[aI]+z[aI+1]+T[aI]);if(h[aI]!==a.LINES.NONE&&h[aI]!==""){o.Add(b.HLINE(aB,ah,h[aI]),0,au-I[aI]-(l-I[aI]-z[aI+1])/2)}au-=l}o.Clean();this.SVGhandleSpace(o);this.SVGhandleColor(o);if(K[aK]){o.tw=Math.max(o.w,o.r)-Math.min(0,o.l);var R=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(R.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){R.indentalign=R.indentalignfirst}if(R.indentalign===a.INDENTALIGN.AUTO){R.indentalign=this.displayAlign}if(R.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){R.indentshift=R.indentshiftfirst}if(R.indentshift==="auto"||R.indentshift===""){R.indentshift="0"}var ak=d.length2em(R.indentshift,v,d.cwidth);var Q=d.length2em(aN.minlabelspacing,v,d.cwidth);var al=Q+K[aK].w,aO=0,aH=o.w;var e=d.length2em(this.displayIndent,v,d.cwidth);az=(ai[aK]===a.INDENTALIGN.RIGHT?-1:1);if(R.indentalign===a.INDENTALIGN.CENTER){var q=(d.cwidth-aH)/2;ak+=e;if(al+az*aO>q+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_SVG-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_SVG-full.js");
diff --git a/config/TeX-AMS_SVG.js b/config/TeX-AMS_SVG.js
index 5e50d7f0d6..5ccd2d3fd5 100644
--- a/config/TeX-AMS_SVG.js
+++ b/config/TeX-AMS_SVG.js
@@ -37,21 +37,109 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.9",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_SVG.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-AMS_SVG.js");
diff --git a/config/TeX-MML-AM_CHTML-full.js b/config/TeX-MML-AM_CHTML-full.js
index f95db144e3..0fc93acd54 100644
--- a/config/TeX-MML-AM_CHTML-full.js
+++ b/config/TeX-MML-AM_CHTML-full.js
@@ -45,29 +45,117 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
-(function(o,f,m,a){var d;var g=MathJax.Object.isArray;var e,q,h;var k=1,l=0.1,j=0.025,b=0.025;var p={".mjx-chtml":{display:"inline-block","line-height":0,"text-indent":0,"text-align":"left","text-transform":"none","font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","letter-spacing":"normal","word-wrap":"normal","word-spacing":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,margin:0,padding:"1px 0"},".MJXc-display":{display:"block","text-align":"center",margin:"1em 0",padding:0},".mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex]":{display:"inline-table"},".mjx-full-width":{"text-align":"center",display:"table-cell!important",width:"10000em"},".mjx-math":{display:"inline-block","border-collapse":"separate","border-spacing":0},".mjx-math *":{display:"inline-block","-webkit-box-sizing":"content-box!important","-moz-box-sizing":"content-box!important","box-sizing":"content-box!important","text-align":"left"},".mjx-numerator":{display:"block","text-align":"center"},".mjx-denominator":{display:"block","text-align":"center"},".MJXc-stacked":{height:0,position:"relative"},".MJXc-stacked > *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v<s;v++){var y=x.childNodes[v];if(y){if(u.test(y.className)){return y}if(y.id===""){t.push(y)}}}x=t.shift()}return null},preTranslate:function(w){var v=w.jax[this.id],E,B=v.length,H,z,C,F,t,G,s,I;var y=100000,x=false,D=0,u=c.automatic,A=c.width;if(u){x=!!A.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/);if(x){A=A.replace(/\s*container\s*/,"")}else{y=this.defaultWidth}if(A===""){A="100%"}}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}z=H.previousSibling;if(z&&z.className&&String(z.className).substr(0,9)==="mjx-chtml"){z.parentNode.removeChild(z)}if(H.MathJax.preview){H.MathJax.preview.style.display="none"}t=H.MathJax.elementJax;if(!t){continue}t.CHTML={display:(t.root.Get("display")==="block"),preview:(t.CHTML||{}).preview};C=a.Element("mjx-chtml",{id:t.inputID+"-Frame",className:"MathJax_CHTML",isMathJax:true,jaxID:this.id,oncontextmenu:e.Menu,onmousedown:e.Mousedown,onmouseover:e.Mouseover,onmouseout:e.Mouseout,onmousemove:e.Mousemove,onclick:e.Click,ondblclick:e.DblClick,onkeydown:e.Keydown,tabIndex:f.getTabOrder(t)});if(t.CHTML.display){var J=a.Element("mjx-chtml",{className:"MJXc-display",isMathJax:false});J.appendChild(C);C=J}if(f.Browser.noContextMenu){C.ontouchstart=q.start;C.ontouchend=q.end}C.className+=" MJXc-processing";H.parentNode.insertBefore(C,H);F=this.TestSpan.cloneNode(true);F.className+=" mjx-test-"+(t.CHTML.display?"display":"inline");H.parentNode.insertBefore(F,H)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}F=H.previousSibling;t=H.MathJax.elementJax;if(!t){continue}s=a.getFontSize(F);G=F.childNodes[1].offsetHeight/60;D=Math.max(0,t.CHTML.display?F.lastChild.offsetWidth-1:F.lastChild.offsetLeft-F.firstChild.offsetLeft-2);if(G===0||G==="NaN"){G=this.defaultEx;D=this.defaultWidth}if(D===0&&!t.CHTML.display){D=this.defaultWidth}if(x){y=D}I=(this.config.matchFontHeight?G/this.TEX.x_height/s:1);I=Math.floor(Math.max(this.config.minScaleAdjust/100,I)*this.config.scale);t.CHTML.scale=I/100;t.CHTML.fontSize=I+"%";t.CHTML.outerEm=s;t.CHTML.em=this.em=s*I/100;t.CHTML.ex=G;t.CHTML.cwidth=D/this.em;t.CHTML.lineWidth=(u?this.length2em(A,y/this.em,1):y)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}t=H.MathJax.elementJax;if(!t){continue}H.parentNode.removeChild(H.previousSibling);if(H.MathJax.preview){H.MathJax.preview.style.display=""}}w.CHTMLeqn=w.CHTMLlast=0;w.CHTMLi=-1;w.CHTMLchunk=this.config.EqnChunk;w.CHTMLdelay=false},Translate:function(t,x){if(!t.parentNode){return}if(x.CHTMLdelay){x.CHTMLdelay=false;f.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var s=t.MathJax.elementJax,w=s.root,v=document.getElementById(s.inputID+"-Frame");if(!v){return}this.getMetrics(s);if(this.scale!==1){v.style.fontSize=s.CHTML.fontSize}this.initCHTML(w,v);this.savePreview(t);this.CHTMLnode=v;try{w.setTeXclass();w.toCommonHTML(v)}catch(u){while(v.firstChild){v.removeChild(v.firstChild)}delete this.CHTMLnode;this.restorePreview(t);throw u}delete this.CHTMLnode;this.restorePreview(t);if(s.CHTML.display){v=v.parentNode}v.className=v.className.replace(/ [^ ]+$/,"");v.className+=" MJXc-processed";if(t.MathJax.preview){s.CHTML.preview=t.MathJax.preview;delete t.MathJax.preview}x.CHTMLeqn+=(x.i-x.CHTMLi);x.CHTMLi=x.i;if(x.CHTMLeqn>=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;v<s;v++){var u=t[v];if(u&&u.MathJax.elementJax){u.previousSibling.className=u.previousSibling.className.replace(/ [^ ]+$/,"");var w=u.MathJax.elementJax.CHTML;if(w.preview){w.preview.innerHTML="";u.MathJax.preview=w.preview;delete w.preview}}}x.CHTMLlast=x.CHTMLeqn},getJaxFromMath:function(s){if(s.parentNode.className.match(/MJXc-display/)){s=s.parentNode}do{s=s.nextSibling}while(s&&s.nodeName.toLowerCase()!=="script");return f.getJaxFor(s)},getHoverSpan:function(s,t){return s.root.CHTMLnodeElement()},getHoverBBox:function(s,v,w){var x=s.root.CHTML,u=s.CHTML.outerEm;var t={w:x.w*u,h:x.h*u,d:x.d*u};if(x.width){t.width=x.width}return t},Zoom:function(u,B,A,s,y){this.getMetrics(u);var v=a.addElement(B,"mjx-chtml",{style:{"font-size":Math.floor(a.scale*100)+"%"},isMathJax:false});a.CHTMLnode=v;this.idPostfix="-zoom";u.root.toCommonHTML(v);this.idPostfix="";var t=v.style,C=u.root.CHTML;if(C.t>C.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u<z;u++){if(t[u].name==="alpha"&&w.noLowerCase){continue}var x=w["offset"+t[u].offset];if(x&&v>=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i<s.length){y=this.getUnicode(s);var u=this.getCharList(t,y);if(u){v.push.apply(v,u)}}}else{if(t.cache[y]){v=t.cache[y]}else{t.cache[y]=v=this.lookupChar(t,y,w)}}return v},lookupChar:function(v,z,x){var y=v;while(v){for(var u=0,s=v.fonts.length;u<s;u++){var t=this.FONTDATA.FONTS[v.fonts[u]];if(typeof(t)==="string"){this.loadFont(t)}var w=t[z];if(w){this.fixChar(w,z);if(w[5].space){return[{type:"space",w:w[2],font:t}]}return[{type:"char",font:t,n:z}]}else{if(t.Extra){this.findBlock(t,z)}}}v=this.FONTDATA.VARIANT[v.chain];if(v&&v.remap&&v.remap[z]&&x++<n){return this.remapChar(v,z,x)}}return[this.unknownChar(y,z)]},fixChar:function(s,t){if(s.length===5){s[5]={}}if(s.c==null){s[0]/=1000;s[1]/=1000;s[2]/=1000;s[3]/=1000;s[4]/=1000;s.c=this.unicodeChar(t)}return s},findBlock:function(u,y){var t=u.Extra,v=u.file,x;for(var w=0,s=t.length;w<s;w++){if(typeof(t[w])==="number"){if(y===t[w]){x=v;break}}else{if(y<t[w][0]){return}if(y<=t[w][1]){x=v;break}}}if(x){delete u.Extra;this.loadFont(v)}},unknownChar:function(s,v){f.signal.Post(["CommonHTML Jax - unknown char",v,s]);var u="";if(s.bold){u+="B"}if(s.italic){u+="I"}var t=this.FONTDATA.UNKNOWN[u||"R"];if(!t[v]){this.getUnknownChar(t,v)}return{type:"unknown",n:v,font:t}},getUnknownChar:function(t,v){var u=this.unicodeChar(v);var s=this.getHDW(u,t.className);t[v]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];t[v].c=u},styledText:function(t,w){f.signal.Post(["CommonHTML Jax - styled text",w,t]);var u=t.style;var x="_"+(u["font-family"]||t.className||"");if(u["font-weight"]){x+="_"+u["font-weight"]}if(u["font-style"]){x+="_"+u["font-style"]}if(!this.STYLEDTEXT){this.STYLEDTEXT={}}if(!this.STYLEDTEXT[x]){this.STYLEDTEXT[x]={className:t.className||""}}var v=this.STYLEDTEXT[x];if(!v["_"+w]){var s=this.getHDW(w,t.className||"",u);v["_"+w]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];v["_"+w].c=w}return{type:"unknown",n:"_"+w,font:v,style:u,rscale:t.rscale}},getHDW:function(B,u,F){var t=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B]]]);var s=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B,["mjx-box"]]]]);t.firstChild.style.fontSize=s.firstChild.style.fontSize="";var v=5*a.em;var E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;a.CHTMLnode.removeChild(t);a.CHTMLnode.removeChild(s);if(C===0){v=5*a.defaultEm;var A=document.body.appendChild(document.createElement("div"));A.appendChild(t);A.appendChild(s);E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;document.body.removeChild(A)}var z=(C-1000)/v,D=x/v,y=E/v-z;return{h:y,d:z,w:D}},addCharList:function(v,x,y){var w={text:"",className:null,a:0};for(var t=0,s=x.length;t<s;t++){var u=x[t];if(this.charList[u.type]){(this.charList[u.type])(u,v,y,w,s)}}if(w.text!==""){if(v.childNodes.length){this.charList.flushText(v,w)}else{m.addText(v,w.text);if(v.className){v.className+=" "+w.className}else{v.className=w.className}}}y.b=(w.flushed?0:y.a)},charList:{"char":function(D,x,B,u,y){var w=D.font,A=(w.remapCombining||{})[D.n];if(w.className===u.className){A=null}else{if(u.className||(A&&u.text!=="")){this.flushText(x,u)}}if(!u.a){u.a=w.centerline/1000}if(u.a>(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.h<t[0]+j){B.t=B.h=t[0]+j}if(B.d<t[1]+b){B.b=B.d=t[1]+b}if(B.l>B.w+t[3]){B.l=B.w+t[3]}if(B.r<B.w+t[4]){B.r=B.w+t[4]}B.w+=t[2]*(D.rscale||1);if(y==1&&w.skew&&w.skew[D.n]){B.skew=w.skew[D.n]}if(t[5]&&t[5].rfix){this.flushText(x,u).style.marginRight=a.Em(t[5].rfix/1000)}if(A){var z=this.flushText(x,u);var s=(v[D.n]||w[D.n])[4]-(t[4]-t[2]);z.style.marginLeft=a.Em(-t[2]-s);if(s<0){z.style.marginRight=a.Em(-s)}}},space:function(t,s,v,u){if(t.w){if(u.text===""){u.className=t.font.className}this.flushText(s,u).style.marginRight=a.Em(t.w);v.w+=t.w}},unknown:function(t,s,w,u){(this["char"])(t,s,w,u,0);var v=t.font[t.n];if(v[5].a){u.a=v[5].a;if(w.a==null||u.a>w.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i<s.length){var y=this.getUnicode(s);v.push.apply(v,this.getCharList(t,y))}}if(v.length){this.addCharList(u.firstChild,v,w)}w.clean();if(w.d<0){w.D=w.d;w.d=0}if(w.h-w.a){u.firstChild.style[w.h-w.a<0?"marginTop":"paddingTop"]=this.EmRounded(w.h-w.a)}if(w.d>-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y<w;y++){if(t.HW[y][0]>=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&x<J*P.min){x=J*P.min}if(x>J){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&s<y*P.min){s=y*P.min}Q.w=Q.r=s;if(s>y){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v<s;v++){if(t[v]){t[v].style.paddingTop=a.Em(u-w[v].a);t[v].style.paddingBottom=a.Em(y+w[v].a);t[v].style.marginTop=t[v].style.marginBottom=0}}},createChar:function(u,y,w,t){var B="",x={fonts:[y[1]],noRemap:true,cache:{}};if(t&&t===d.VARIANT.BOLD&&this.FONTDATA.FONTS[y[1]+"-Bold"]){x.fonts=[y[1]+"-Bold",y[1]]}if(typeof(y[1])!=="string"){x=y[1]}if(y[0] instanceof Array){for(var z=0,v=y[0].length;z<v;z++){B+=String.fromCharCode(y[0][z])}}else{B=String.fromCharCode(y[0])}if(y[4]){w*=y[4]}var A=this.handleText(u,B,x),s=u.firstChild.style;if(w!==1){s.fontSize=this.Percent(w)}if(y[2]){s.paddingLeft=this.Em(y[2]);A.w+=y[2];A.r+=y[2]}if(y[3]){s.verticalAlign=this.Em(y[3]);A.h+=y[3];if(A.h<0){A.h=0}}if(y[5]){s.marginTop=this.Em(y[5]);A.h+=y[5];A.t+=y[5]}if(y[6]){s.marginBottom=this.Em(y[6]);A.d+=y[6];A.b+=y[6]}return A},length2em:function(w,u,x){if(typeof(w)!=="string"){w=w.toString()}if(w===""){return""}if(w===d.SIZE.NORMAL){return 1}if(w===d.SIZE.BIG){return 2}if(w===d.SIZE.SMALL){return 0.71}if(this.MATHSPACE[w]){return this.MATHSPACE[w]}var t=w.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var s=parseFloat(t[1]||"1"),v=t[2];if(u==null){u=1}if(!x){x=1}x=1/this.em/x;if(v==="em"){return s}if(v==="ex"){return s*this.TEX.x_height}if(v==="%"){return s/100*u}if(v==="px"){return s*x}if(v==="pt"){return s/10}if(v==="pc"){return s*1.2}x*=this.pxPerInch;if(v==="in"){return s*x}if(v==="cm"){return s*x/2.54}if(v==="mm"){return s*x/25.4}if(v==="mu"){return s/18}return s*u},thickness2em:function(s,t){var u=a.TEX.rule_thickness/(t||1);if(s===d.LINETHICKNESS.MEDIUM){return u}if(s===d.LINETHICKNESS.THIN){return 0.67*u}if(s===d.LINETHICKNESS.THICK){return 1.67*u}return this.length2em(s,u,t)},Em:function(s){if(Math.abs(s)<0.001){return"0"}return(s.toFixed(3).replace(/\.?0+$/,""))+"em"},EmRounded:function(s){s=(Math.round(s*a.em)+0.05)/a.em;if(Math.abs(s)<0.0006){return"0em"}return s.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(s){return parseFloat(s)},Px:function(s,t){s*=this.em;if(t&&s<t){s=t}if(Math.abs(s)<0.1){return"0"}return s.toFixed(1).replace(/\.0$/,"")+"px"},Percent:function(s){return(100*s).toFixed(1).replace(/\.?0+$/,"")+"%"},Transform:function(v,t,s){var u=v.style;u.transform=u.WebkitTransform=u.MozTransform=u["-ms-transform"]=t;if(s){u.transformOrigin=u.WebkitTransformOrigin=u.MozTransformOrigin=u["-ms-transform-origin"]=s}},arrayEntry:function(s,t){return s[Math.max(0,Math.min(t,s.length-1))]},removeStyles:["fontSize","fontFamily","fontWeight","fontStyle","fontVariant","font"]});a.BBOX=MathJax.Object.Subclass({Init:function(s){for(var t in s){if(s.hasOwnProperty(t)){this[t]=s[t]}}},clean:function(){if(this.h===-i){this.h=0}if(this.d===-i){this.d=0}if(this.l===i){this.l=0}if(this.r===-i){this.r=0}if(this.t===-i){this.t=0}if(this.b===-i){this.b=0}if(this.D&&this.d>0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}if(s+u*(t.w+(t.L||0)+(t.R||0))>this.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}this.w+=u*(t.w+(t.L||0)+(t.R||0));if(u*t.h>this.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]<u){this[v]=u}}}},{zero:function(){return a.BBOX({h:0,d:0,w:0,l:0,r:0,t:0,b:0,scale:1,rscale:1})},empty:function(s){if(!s){s=a.BBOX.zero()}s.h=s.d=s.r=s.t=s.b=-i;s.w=0;s.l=i;delete s.pwidth;return s},styleAdjust:[["borderTopWidth","h","t"],["borderRightWidth","w","r"],["borderBottomWidth","d","b"],["borderLeftWidth","w","l",0],["paddingTop","h","t"],["paddingRight","w","r"],["paddingBottom","d","b"],["paddingLeft","w","l",0],]});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){d=MathJax.ElementJax.mml;d.mbase.Augment({toCommonHTML:function(t,s){return this.CHTMLdefaultNode(t,s)},CHTMLmultiline:function(){d.mbase.CHTMLautoloadFile("multiline")},CHTMLdefaultNode:function(v,t){if(!t){t={}}v=this.CHTMLcreateNode(v);this.CHTML=a.BBOX.empty();this.CHTMLhandleStyle(v);if(this.isToken){this.CHTMLgetVariant()}this.CHTMLhandleScale(v);var s=Math.max((t.minChildren||0),this.data.length);for(var u=0;u<s;u++){this.CHTMLaddChild(v,u,t)}if(!t.noBBox){this.CHTML.clean()}this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v},CHTMLaddChild:function(x,t,s){var z=this.data[t],w;var u=s.childNodes;if(u instanceof Array){u=u[t]||"span"}if(z){if(u){x=a.addElement(x,u)}w=z.toCommonHTML(x,s.childOptions);if(u&&z.CHTML.rscale!==1){x.style.fontSize=x.firstChild.style.fontSize;x.firstChild.style.fontSize=""}if(!s.noBBox){var y=this.CHTML,v=z.CHTML;y.append(v);if(this.data.length===1){if(v.ic){y.ic=v.ic}if(v.skew){y.skew=v.skew}}else{delete y.ic;delete y.skew}if(v.pwidth){y.pwidth=v.pwidth}}}else{if(s.forceChild){w=a.addElement(x,(u||"mjx-box"))}}return w},CHTMLchildNode:function(t,s){t=t.childNodes[s];if(t.nodeName.toLowerCase()==="a"){t=t.firstChild}return t},CHTMLcoreNode:function(s){if(this.inferRow&&this.data[0]){return this.data[0].CHTMLcoreNode(s.firstChild)}return this.CHTMLchildNode(s,this.CoreIndex())},CHTMLstretchChildV:function(v,u,y){var x=this.data[v];if(x){var z=this.CHTML,t=x.CHTML;if(t.stretch||(t.stretch==null&&x.CHTMLcanStretch("Vertical",u,y))){var s=t.w;t=x.CHTMLstretchV(u,y);z.w+=t.w-s;if(z.w>z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t<s;t++){var x=z[t];if(y[x]==false||(!u[x]&&!y[x]&&w[x]==null&&typeof(v[x])==="undefined")){v.setAttribute(x,this.attr[x])}}}return v},CHTMLhandleScale:function(v){var x=1,u=this.parent,w=(u?u.CHTML.scale:1);var s=this.getValues("scriptlevel","fontsize");s.mathsize=this.Get("mathsize",null,!this.isToken);if(s.scriptlevel!==0){if(s.scriptlevel>2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x<s.scriptminsize){x=s.scriptminsize}}if(this.removedStyles&&this.removedStyles.fontSize&&!s.fontsize){s.fontsize=this.removedStyles.fontSize}if(s.fontsize&&!this.mathsize){s.mathsize=s.fontsize}if(s.mathsize!==1){x*=a.length2em(s.mathsize,1,1)}var t=this.CHTMLvariant;if(t&&t.style&&t.style["font-family"]){x*=(a.config.scale/100)/a.scale}this.CHTML.scale=x;w=this.CHTML.rscale=x/w;if(Math.abs(w-1)<0.001){w=1}if(v&&w!==1){v.style.fontSize=a.Percent(w)}return x},CHTMLhandleStyle:function(v){if(!this.style){return}var u=v.style;u.cssText=this.style;this.removedStyles={};for(var t=0,s=a.removeStyles.length;t<s;t++){var w=a.removeStyles[t];if(u[w]){this.removedStyles[w]=u[w];u[w]=""}}},CHTMLhandleBBox:function(w){var t=this.CHTML,v=w.style;if(this.data.length===1&&(this.data[0].CHTML||{}).pwidth){t.pwidth=this.data[0].CHTML.pwidth;t.mwidth=this.data[0].CHTML.mwidth;v.width="100%"}else{if(t.pwidth){t.mwidth=a.Em(t.w);v.width="100%"}else{if(t.w<0){v.width="0px";v.marginRight=a.Em(t.w)}}}if(!this.style){return}for(var u=0,s=a.BBOX.styleAdjust.length;u<s;u++){var x=a.BBOX.styleAdjust[u];if(x&&v[x[0]]){t.adjust(v[x[0]],x[1],x[2],x[3])}}},CHTMLhandleColor:function(s){if(this.mathcolor){s.style.color=this.mathcolor}else{if(this.color){s.style.color=this.color}}if(this.mathbackground){s.style.backgroundColor=this.mathbackground}else{if(this.background){s.style.backgroundColor=this.background}}},CHTMLhandleSpace:function(s){if(!this.useMMLspacing){var t=this.texSpacing();if(t!==""){this.CHTML.L=this.CHTMLlength2em(t);s.className+=" "+a.SPACECLASS[t]}}},CHTMLhandleText:function(t,u,s){if(t.firstChild&&!this.CHTML){this.CHTML=a.BBOX.empty()}this.CHTML=a.handleText(t,u,s,this.CHTML)},CHTMLgetVariant:function(){var s=this.getValues("mathvariant","fontfamily","fontweight","fontstyle"),u;s.hasVariant=this.Get("mathvariant",true);if(this.removedStyles){u=this.removedStyles;if(u.fontFamily){s.family=u.fontFamily}if(u.fontWeight){s.weight=u.fontWeight}if(u.fontStyle){s.style=u.fontStyle}}if(!s.hasVariant){if(s.fontfamily){s.family=s.fontfamily}if(s.fontweight){s.weight=s.fontweight}if(s.fontstyle){s.style=s.fontstyle}}if(s.weight&&s.weight.match(/^\d+$/)){s.weight=(parseInt(s.weight)>600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){t*=a.em/a.outerEm;f.Insert(w,({left:{marginLeft:a.Em(t)},right:{marginRight:a.Em(-t)},center:{marginLeft:a.Em(t),marginRight:a.Em(-t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,u,{childOptions:{variant:t.mathvariant,remap:this.remap,remapchars:t.remapchars}})}if(!a.isChar(t.text)){delete this.CHTML.skew}else{if(this.CHTML.w===0&&this.CHTML.l<0){this.CHTMLfixCombiningChar(v)}}if(t.largeop){this.CHTMLcenterOp(v)}}this.CHTML.clean();this.CHTMLhandleBBox(v);this.CHTMLhandleSpace(v);this.CHTMLhandleColor(v);return v},CHTMLhandleSpace:function(v){if(this.hasMMLspacing()){var t=this.getValues("scriptlevel","lspace","rspace");t.lspace=Math.max(0,this.CHTMLlength2em(t.lspace));t.rspace=Math.max(0,this.CHTMLlength2em(t.rspace));if(t.scriptlevel>0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.h<a.TEX.x_height){C.h+=a.TEX.x_height-F.h;u.style.marginTop=a.Em(a.TEX.x_height-Math.max(F.h,0.35));F.h=a.TEX.x_height}var A=u,D=0;if(F.ic){D=1.3*F.ic+0.05}if(this.data[this.over]){A=this.CHTMLaddOverscript(z,x,E,D,u,t)}if(this.data[this.under]){this.CHTMLaddUnderscript(B,x,E,D,w,A,t)}else{if(!t){w.appendChild(A)}}this.CHTMLplaceBoxes(u,B,z,E,x);return w},CHTMLgetBBoxes:function(A,x,v){var y,t=this.data.length,z,u=-i,s=u;for(y=0;y<t;y++){A[y]=this.CHTMLbboxFor(y);A[y].x=A[y].y=0;if(this.data[y]){A[y].stretch=this.data[y].CHTMLcanStretch("Horizontal")}z=(y===this.base?1:A[y].rscale);if(y!==this.base){delete A[y].L;delete A[y].R}s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)));if(!A[y].stretch&&s>u){u=s}}if(u===-i){u=s}for(y=0;y<t;y++){if(A[y].stretch){z=(y===this.base?1:A[y].rscale);A[y]=this.data[y].CHTMLstretchH(x[y].firstChild,u/z);A[y].x=A[y].y=0;s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)))}}if(!A[this.base]){A[this.base]=a.BBOX.empty()}return s},CHTMLaddOverscript:function(B,z,F,E,t,s){var D=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var A=z[this.over],G=z[this.base],u=A.rscale;if(!s){var C=a.Element("mjx-stack");C.appendChild(B);C.appendChild(t)}if(A.D){A.d=A.D}if(A.d<0){B.firstChild.style.verticalAlign="top";B.style.height=a.Em(A.h+A.d)}A.x=0;if(F.accent){if(A.w<0.001){A.x+=(A.r-A.l)/2}v=a.TEX.rule_thickness;w=0;if(G.skew){A.x+=u*G.skew;D.skew=u*G.skew;if(A.x+u*A.w>D.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y<v;y++){x=(y===this.base?1:z[y].rscale);var C=x*(z[y].w+(z[y].L||0)+(z[y].R||0));z[y].x+={left:0,center:(t-C)/2,right:t-C}[E.align];if(z[y].x<F){F=z[y].x}}for(y=0;y<v;y++){if(this.data[y]){x=(y===this.base?1:z[y].rscale);if(z[y].x-F){var u=(y===this.base?s:y===this.over?A:B);u.style.paddingLeft=a.Em((z[y].x-F)/x)}D.combine(z[y],z[y].x-F,z[y].y)}}this.CHTML=D},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-op","mjx-under","mjx-over"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.msubsup.Augment({toCommonHTML:function(S,C){var A=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");var D,H,z;if(C&&C.stretch){if(this.data[this.base]){D=a.getNode(S,"mjx-base")}if(this.data[this.sub]){H=a.getNode(S,"mjx-sub")}if(this.data[this.sup]){z=a.getNode(S,"mjx-sup")}E=a.getNode(S,"mjx-stack")}else{var K=["mjx-base","mjx-sub","mjx-sup"];if(this.sup===1){K[1]=K[2]}S=this.CHTMLdefaultNode(S,{childNodes:K,noBBox:true,forceChild:true,minChildren:3});D=S.childNodes[this.base];H=S.childNodes[this.sub];z=S.childNodes[this.sup];if(!this.CHTMLnotEmpty(this.data[this.sub])){S.removeChild(H);H=null}if(!this.CHTMLnotEmpty(this.data[this.sup])){S.removeChild(z);z=null}if(S.childNodes.length===3){var E=a.addElement(S,"mjx-stack");E.appendChild(z);E.appendChild(H)}}var F=[],G=a.BBOX.empty(this.CHTML);for(var V=0,T=this.data.length;V<T;V++){F[V]=this.CHTMLbboxFor(V)}var y=F[this.base]||a.BBOX.empty(),P=F[this.sub],W=F[this.sup];var B=(H?P.rscale:1),w=(z?W.rscale:1);G.combine(y,0,0);var X=a.TEX.x_height,N=a.TEX.scriptspace;var Q=a.TEX.sup_drop*w,O=a.TEX.sub_drop*B;var L=y.h-Q,J=y.d+O,Y=0,R;if(y.ic){G.w-=y.ic;D.style.marginRight=a.Em(-y.ic);Y=1.3*y.ic+0.05}var U=this.data[this.base];if(U){if((U.type==="mrow"||U.type==="mstyle")&&U.data.length===1){U=U.data[0]}if(U.type==="mi"||U.type==="mo"){if(a.isChar(U.data.join(""))&&y.rscale===1&&!y.sH&&!U.Get("largeop")){L=J=0}}}A.subscriptshift=(A.subscriptshift===""?0:this.CHTMLlength2em(A.subscriptshift));A.superscriptshift=(A.superscriptshift===""?0:this.CHTMLlength2em(A.superscriptshift));var I=G.w;if(H){P.w+=N}if(z){W.w+=N}if(!z){if(H){J=Math.max(J,a.TEX.sub1,B*P.h-(4/5)*X,A.subscriptshift);H.style.verticalAlign=a.Em(-J/B);H.style.paddingRight=a.Em(N/B);G.combine(P,I,-J)}}else{if(!H){R=a.TEX[(A.displaystyle?"sup1":(A.texprimestyle?"sup3":"sup2"))];L=Math.max(L,R,w*W.d+(1/4)*X,A.superscriptshift);z.style.verticalAlign=a.Em(L/w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);G.combine(W,I+Y,L)}else{J=Math.max(J,a.TEX.sub2);var M=a.TEX.rule_thickness;if((L-w*W.d)-(B*P.h-J)<3*M){J=3*M-L+w*W.d+B*P.h;Q=(4/5)*X-(L-w*W.d);if(Q>0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(K<L){I+=(L-K)/2;G+=(L-K)/2}}else{L=Math.max((O?2:0)*M+J,J/2+1.5*M);J=Math.max(J,M);K=(I-P.d*F)-(T+J/2);if(K<L){I+=(L-K)}K=(T-J/2)-(B.h*z-G);if(K<L){G+=(L-K)}P.L=P.R=B.L=B.R=0.1;var A=a.addElement(y,"mjx-line",{style:{"border-bottom":a.Px(J*C.scale,1)+" solid",top:a.Em(-J/2-T)}})}C.combine(P,0,I);C.combine(B,0,-G);C.clean();y.style.width=a.Em(C.w);D.style.width=a.Em(C.w/F);w.style.width=a.Em(C.w/z);if(A){A.style.width=y.style.width}D.style.top=a.Em(-C.h/F);w.style.bottom=a.Em(-C.d/z);a.addElement(N,"mjx-vsize",{style:{height:a.Em(C.h+C.d),verticalAlign:a.Em(-C.d)}})}if(!this.texWithDelims){var Q=a.TEX.nulldelimiterspace;y.style.padding="0 "+a.Em(Q);C.l+=Q;C.r+=Q;C.w+=2*Q}return N},CHTMLcanStretch:function(s){return false}});d.msqrt.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w,{childNodes:["mjx-box","mjx-root"],forceChild:true,noBBox:true});var v=w.firstChild||a.Element("mjx-box");var E=a.addElement(w,"mjx-box");E.appendChild(v);var F=this.CHTMLbboxFor(0),C=a.BBOX.empty(this.CHTML);var G=a.TEX.rule_thickness,y=a.TEX.surd_height,u=G,s,D;if(this.Get("displaystyle")){u=a.TEX.x_height}s=G+u/4;D=F.h+F.d+s+G;var z=a.Element("mjx-surd");E.insertBefore(z,v);var A=a.createDelimiter(z,8730,[D-0.04,D]);if(A.h+A.d>D){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,s)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9)+s.offset+Math.max(0,u.d-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,"sep"+u,{});this.CHTMLaddChild(v,u,{})}this.CHTMLaddChild(v,"close",{});var t=this.CHTML.h,w=this.CHTML.d;this.CHTMLstretchChildV("open",t,w);for(u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV("sep"+u,t,w);this.CHTMLstretchChildV(u,t,w)}this.CHTMLstretchChildV("close",t,w);this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mrow.Augment({toCommonHTML:function(w,t){t=t||{};w=this.CHTMLdefaultNode(w);var z=this.CHTML,v=z.h,x=z.d,y;for(var u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV(u,v,x);if(this.data[u]&&this.data[u].CHTML&&this.data[u].CHTML.w<0){y=true}}if(this.CHTMLlineBreaks()){this.CHTMLmultiline(w);if(t.autowidth){w.style.width=""}}else{if(y&&z.w){w.style.width=a.Em(Math.max(0,z.w))}if(z.w<0){w.style.marginRight=a.Em(z.w)}}return w},CHTMLlineBreaks:function(){if(!this.parent.linebreakContainer){return false}return(c.automatic&&this.CHTML.w>a.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML);
-MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;q<n;q++){var B=this.data[q],A=(B.type==="mtr"?0:c);y[q]=r;h[q]=t;for(var p=A,v=B.data.length+A;p<v;p++){if(l[p]==null){l[p]=-f;if(p>w){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;q<n;q++){y[q]=x;h[q]=o}}k.H=y;k.D=h;k.W=l,k.J=w},CHTMLgetAttributes:function(v,j){var l=d(v.columnspacing),x=d(v.rowspacing),t=d(v.columnalign),r=d(v.rowalign),k=d(v.columnlines),w=d(v.rowlines),o=d(v.columnwidth),n=[],q,p,u=j.J,s=j.rows.length-1;for(q=0,p=l.length;q<p;q++){l[q]=this.CHTMLlength2em(l[q])}for(q=0,p=x.length;q<p;q++){x[q]=this.CHTMLlength2em(x[q])}while(l.length<u){l.push(l[l.length-1])}while(t.length<=u){t.push(t[t.length-1])}while(k.length<u){k.push(k[k.length-1])}while(o.length<=u){o.push(o[o.length-1])}while(x.length<s){x.push(x[x.length-1])}while(r.length<=s){r.push(r[r.length-1])}while(w.length<s){w.push(w[w.length-1])}t[c]=(v.side.substr(0,1)==="l"?"left":"right");for(q=0;q<=s;q++){var y=this.data[q];n[q]=[];if(y.rowalign){r[q]=y.rowalign}if(y.columnalign){n[q]=d(y.columnalign);while(n[q].length<=u){n[q].push(n[q][n[q].length-1])}}}var h=d(v.framespacing);if(h.length!=2){h=d(this.defaults.framespacing)}h[0]=Math.max(0,this.CHTMLlength2em(h[0]));h[1]=Math.max(0,this.CHTMLlength2em(h[1]));if(v.columnlines.replace(/none/g,"").replace(/ /g,"")!==""||v.rowlines.replace(/none/g,"").replace(/ /g,"")!==""){v.fspace=true}if(v.frame===b.LINES.NONE){delete v.frame}else{v.fspace=true}if(v.frame){h[0]=Math.max(0,h[0]);h[1]=Math.max(0,h[1])}if(v.fspace){l[u]=h[0];x[s]=h[1]}else{l[u]=x[s]=0}k[u]=w[s]=b.LINES.NONE;j.CSPACE=l;j.RSPACE=x;j.CALIGN=t;j.RALIGN=r;j.CLINES=k;j.RLINES=w;j.CWIDTH=o;j.RCALIGN=n;j.FSPACE=h},CHTMLadjustCells:function(l,r){var S=r.rows,W=r.CSPACE,o=r.CLINES,x=r.RSPACE,F=r.RLINES,V=r.CALIGN,q=r.RALIGN,G=r.RCALIGN;W[r.J]*=2;x[S.length-1]*=2;var p="0",I,t,z,N,n,P,U=0;if(l.fspace){U=r.FSPACE[1];p=e.Em(r.FSPACE[1])}r.RHD=[];r.RH=[];for(var Q=0,K=S.length;Q<K;Q++){var w=S[Q],v=this.data[Q];I=x[Q]/2;N=null;z="0";if(F[Q]!==b.LINES.NONE&&F[Q]!==""){N=r.t+" "+F[Q]}if(N||(o[O]!==b.LINES.NONE&&o[O]!=="")){while(w.length<=r.J){w.push(e.addElement(w.node,"mjx-mtd",null,[["span"]]))}}r.RH[Q]=U+r.H[Q];U=Math.max(0,I);r.RHD[Q]=r.RH[Q]+U+r.D[Q];I=e.Em(U);if(l.fspace){z=e.Em(r.FSPACE[0])}for(var O=0,y=w.length;O<y;O++){var E=(v.type==="mtr"?0:c);var J=v.data[O-E]||{CHTML:e.BBOX.zero()};var k=w[O].style;n=J.CHTML;t=W[O]/2;if(o[O]!==b.LINES.NONE){k.borderRight=r.t+" "+o[O];t-=1/e.em/2}t=e.Em(Math.max(0,t));k.padding=p+" "+t+" 0px "+z;if(N){k.borderBottom=N}z=t;P=(J.rowalign||(this.data[Q]||{}).rowalign||q[Q]);var A=Math.max(1,n.h),C=Math.max(0.2,n.d),h=(r.H[Q]+r.D[Q])-(A+C),u=w[O].firstChild.style;if(P===b.ALIGN.TOP){if(h){u.marginBottom=e.Em(h)}k.verticalAlign="top"}else{if(P===b.ALIGN.BOTTOM){k.verticalAlign="bottom";if(h){u.marginTop=e.Em(h)}}else{if(P===b.ALIGN.CENTER){if(h){u.marginTop=u.marginBottom=e.Em(h/2)}k.verticalAlign="middle"}else{if(A!==r.H[Q]){u.marginTop=e.Em(r.H[Q]-A)}}}}P=(J.columnalign||G[Q][O]||V[O]);if(P!==b.ALIGN.CENTER){k.textAlign=P}}w.node.style.height=e.Em(r.RHD[Q]);p=I}W[r.J]/=2;x[S.length-1]/=2},CHTMLalignV:function(w,k,o){var m,t=k.rows.length,v=k.H,j=k.D,x=k.RSPACE;if(typeof(w.align)!=="string"){w.align=String(w.align)}if(w.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){m=parseInt(RegExp.$3||"0");w.align=RegExp.$1;if(m<0){m+=k.rows.length+1}if(m>t||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q<t;q++){var r=v[q],s=j[q];p+=r+s+x[q];if(m){if(q===m-1){l+=({top:r+s,bottom:0,center:(r+s)/2,baseline:s,axis:u+s})[w.align]+x[q]}if(q>=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;H<B;H++){F=h[H];v=Math.max(o[F],this.CHTMLlength2em(I[F],G));k+=v-o[F];o[F]=v;t[F].style.width=e.Em(v)}E+=k}if(!C){D=s}if(G>E&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;H<B;H++){F=D[H];o[F]+=x;t[F].style.width=e.Em(o[F])}E=G}}}o[c]=r.W[c];r.W=o;r.R=E;if(y){A.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=e.Em(E);A.firstChild.style.width=l.width;A.firstChild.style.margin="auto"}},CHTMLstretchCells:function(x,l){var y=l.rows,w=l.H,k=l.D,m=l.W,t=l.J,s=y.length-1;for(var o=0;o<=s;o++){var z=y[o],q=this.data[o];var p=w[o],r=k[o];for(var n=0;n<=t;n++){var v=z[n],u=q.data[n];if(!u){continue}if(u.CHTML.stretch==="V"){u.CHTMLstretchV(p,r)}else{if(u.CHTML.stretch==="H"){u.CHTMLstretchH(v,m[n])}}}}},CHTMLaddLabels:function(h,k,w,B){var q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(q.indentalignfirst!==b.INDENTALIGN.INDENTALIGN){q.indentalign=q.indentalignfirst}if(q.indentalign===b.INDENTALIGN.AUTO){q.indentalign=a.displayAlign}if(q.indentshiftfirst!==b.INDENTSHIFT.INDENTSHIFT){q.indentshift=q.indentshiftfirst}if(q.indentshift==="auto"){q.indentshift="0"}var z=this.CHTMLlength2em(q.indentshift,e.cwidth);var A=this.CHTMLlength2em(h.minlabelspacing,0.8);var p=A+k.W[c],y=0,D=k.R;var n=this.CHTMLlength2em(a.displayIndent,e.cwidth);var t=(k.CALIGN[c]===b.INDENTALIGN.RIGHT?-1:1);if(q.indentalign===b.INDENTALIGN.CENTER){D+=2*(p-t*(z+n));z+=n}else{if(k.CALIGN[c]===q.indentalign){if(n<0){y=t*n;n=0}z+=t*n;if(p>t*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x<v;x++){if(l[x]&&this.data[x].data[0]){C.appendChild(l[x]);var r=this.data[x].data[0].CHTML;j=k.RH[x]-Math.max(1,r.h);if(j){l[x].firstChild.firstChild.style.marginTop=e.Em(j)}l[x].style.height=e.Em(k.RHD[x])}else{e.addElement(C,"mjx-label",{style:{height:e.Em(k.RHD[x])}})}}w.style.width=this.CHTML.pwidth="100%";w.style.minWidth=this.CHTML.mwidth=e.Em(Math.max(0,D))}});b.mtr.Augment({toCommonHTML:function(l,j){l=this.CHTMLcreateNode(l);this.CHTMLhandleStyle(l);this.CHTMLhandleScale(l);if(!j){j={rows:[],labels:[]}}var n=[];j.rows.push(n);n.node=l;j.labels.push(null);for(var k=0,h=this.data.length;k<h;k++){n.push(this.CHTMLaddChild(l,k,j))}this.CHTMLhandleColor(l);return l}});b.mlabeledtr.Augment({toCommonHTML:function(n,k){n=this.CHTMLcreateNode(n);this.CHTMLhandleStyle(n);this.CHTMLhandleScale(n);if(!k){k={rows:[],labels:[]}}var o=[];k.rows.push(o);o.node=n;var j=e.Element("mjx-label");k.labels.push(j);this.CHTMLaddChild(j,0,k);if(this.data[0]){k.labeled=true}for(var l=1,h=this.data.length;l<h;l++){o.push(this.CHTMLaddChild(n,l,k))}this.CHTMLhandleColor(n);return n}});b.mtd.Augment({toCommonHTML:function(l,i){l=this.CHTMLdefaultNode(l,i);e.addElement(l.firstChild,"mjx-strut");if(this.isEmbellished()){var m=this.CoreMO(),h=this.CHTML;if(m.CHTMLcanStretch("Vertical")){h.stretch="V"}else{if(m.CHTMLcanStretch("Horizontal")){h.stretch="H"}}if(h.stretch){var j=m.Get("minsize",true);if(j){if(h.stretch==="V"){var n=h.h+h.d;if(n){var k=this.CHTMLlength2em(j,n)/n;if(k>1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")});
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+(function(o,f,m,a){var d;var g=MathJax.Object.isArray;var e,q,h;var k=1,l=0.1,j=0.025,b=0.025;var p={".mjx-chtml":{display:"inline-block","line-height":0,"text-indent":0,"text-align":"left","text-transform":"none","font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","letter-spacing":"normal","word-wrap":"normal","word-spacing":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,margin:0,padding:"1px 0"},".MJXc-display":{display:"block","text-align":"center",margin:"1em 0",padding:0},".mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex]":{display:"inline-table"},".mjx-full-width":{"text-align":"center",display:"table-cell!important",width:"10000em"},".mjx-math":{display:"inline-block","border-collapse":"separate","border-spacing":0},".mjx-math *":{display:"inline-block","-webkit-box-sizing":"content-box!important","-moz-box-sizing":"content-box!important","box-sizing":"content-box!important","text-align":"left"},".mjx-numerator":{display:"block","text-align":"center"},".mjx-denominator":{display:"block","text-align":"center"},".MJXc-stacked":{height:0,position:"relative"},".MJXc-stacked > *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-surd + .mjx-box":{display:"inline-flex"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor",overflow:"visible"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v<s;v++){var y=x.childNodes[v];if(y){if(u.test(y.className)){return y}if(y.id===""){t.push(y)}}}x=t.shift()}return null},preTranslate:function(w){var v=w.jax[this.id],E,B=v.length,H,z,C,F,t,G,s,I;var y=100000,x=false,D=0,u=c.automatic,A=c.width;if(u){x=!!A.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/);if(x){A=A.replace(/\s*container\s*/,"")}else{y=this.defaultWidth}if(A===""){A="100%"}}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}z=H.previousSibling;if(z&&z.className&&String(z.className).substr(0,9)==="mjx-chtml"){z.parentNode.removeChild(z)}if(H.MathJax.preview){H.MathJax.preview.style.display="none"}t=H.MathJax.elementJax;if(!t){continue}t.CHTML={display:(t.root.Get("display")==="block"),preview:(t.CHTML||{}).preview};C=a.Element("mjx-chtml",{id:t.inputID+"-Frame",className:"MathJax_CHTML",isMathJax:true,jaxID:this.id,oncontextmenu:e.Menu,onmousedown:e.Mousedown,onmouseover:e.Mouseover,onmouseout:e.Mouseout,onmousemove:e.Mousemove,onclick:e.Click,ondblclick:e.DblClick,onkeydown:e.Keydown,tabIndex:f.getTabOrder(t)});if(t.CHTML.display){var J=a.Element("mjx-chtml",{className:"MJXc-display",isMathJax:false});J.appendChild(C);C=J}if(f.Browser.noContextMenu){C.ontouchstart=q.start;C.ontouchend=q.end}C.className+=" MJXc-processing";H.parentNode.insertBefore(C,H);F=this.TestSpan.cloneNode(true);F.className+=" mjx-test-"+(t.CHTML.display?"display":"inline");H.parentNode.insertBefore(F,H)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}F=H.previousSibling;t=H.MathJax.elementJax;if(!t){continue}s=a.getFontSize(F);G=F.childNodes[1].offsetHeight/60;D=Math.max(0,t.CHTML.display?F.lastChild.offsetWidth-1:F.lastChild.offsetLeft-F.firstChild.offsetLeft-2);if(G===0||G==="NaN"){G=this.defaultEx;D=this.defaultWidth}if(D===0&&!t.CHTML.display){D=this.defaultWidth}if(x){y=D}I=(this.config.matchFontHeight?G/this.TEX.x_height/s:1);I=Math.floor(Math.max(this.config.minScaleAdjust/100,I)*this.config.scale);t.CHTML.scale=I/100;t.CHTML.fontSize=I+"%";t.CHTML.outerEm=s;t.CHTML.em=this.em=s*I/100;t.CHTML.ex=G;t.CHTML.cwidth=D/this.em;t.CHTML.lineWidth=(u?this.length2em(A,y/this.em,1):y)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}t=H.MathJax.elementJax;if(!t){continue}H.parentNode.removeChild(H.previousSibling);if(H.MathJax.preview){H.MathJax.preview.style.display=""}}w.CHTMLeqn=w.CHTMLlast=0;w.CHTMLi=-1;w.CHTMLchunk=this.config.EqnChunk;w.CHTMLdelay=false},Translate:function(t,x){if(!t.parentNode){return}if(x.CHTMLdelay){x.CHTMLdelay=false;f.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var s=t.MathJax.elementJax,w=s.root,v=document.getElementById(s.inputID+"-Frame");if(!v){return}this.getMetrics(s);if(this.scale!==1){v.style.fontSize=s.CHTML.fontSize}this.initCHTML(w,v);this.savePreview(t);this.CHTMLnode=v;try{w.setTeXclass();w.toCommonHTML(v)}catch(u){while(v.firstChild){v.removeChild(v.firstChild)}delete this.CHTMLnode;this.restorePreview(t);throw u}delete this.CHTMLnode;this.restorePreview(t);if(s.CHTML.display){v=v.parentNode}v.className=v.className.replace(/ [^ ]+$/,"");v.className+=" MJXc-processed";if(t.MathJax.preview){s.CHTML.preview=t.MathJax.preview;delete t.MathJax.preview}x.CHTMLeqn+=(x.i-x.CHTMLi);x.CHTMLi=x.i;if(x.CHTMLeqn>=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;v<s;v++){var u=t[v];if(u&&u.MathJax.elementJax){u.previousSibling.className=u.previousSibling.className.replace(/ [^ ]+$/,"");var w=u.MathJax.elementJax.CHTML;if(w.preview){w.preview.innerHTML="";u.MathJax.preview=w.preview;delete w.preview}}}x.CHTMLlast=x.CHTMLeqn},getJaxFromMath:function(s){if(s.parentNode.className.match(/MJXc-display/)){s=s.parentNode}do{s=s.nextSibling}while(s&&s.nodeName.toLowerCase()!=="script");return f.getJaxFor(s)},getHoverSpan:function(s,t){return s.root.CHTMLnodeElement()},getHoverBBox:function(s,v,w){var x=s.root.CHTML,u=s.CHTML.outerEm;var t={w:x.w*u,h:x.h*u,d:x.d*u};if(x.width){t.width=x.width}return t},Zoom:function(u,B,A,s,y){this.getMetrics(u);var v=a.addElement(B,"mjx-chtml",{style:{"font-size":Math.floor(a.scale*100)+"%"},isMathJax:false});a.CHTMLnode=v;this.idPostfix="-zoom";u.root.toCommonHTML(v);this.idPostfix="";var t=v.style,C=u.root.CHTML;if(C.t>C.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u<z;u++){if(t[u].name==="alpha"&&w.noLowerCase){continue}var x=w["offset"+t[u].offset];if(x&&v>=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i<s.length){y=this.getUnicode(s);var u=this.getCharList(t,y);if(u){v.push.apply(v,u)}}}else{if(t.cache[y]){v=t.cache[y]}else{t.cache[y]=v=this.lookupChar(t,y,w)}}return v},lookupChar:function(v,z,x){var y=v;while(v){for(var u=0,s=v.fonts.length;u<s;u++){var t=this.FONTDATA.FONTS[v.fonts[u]];if(typeof(t)==="string"){this.loadFont(t)}var w=t[z];if(w){this.fixChar(w,z);if(w[5].space){return[{type:"space",w:w[2],font:t}]}return[{type:"char",font:t,n:z}]}else{if(t.Extra){this.findBlock(t,z)}}}v=this.FONTDATA.VARIANT[v.chain];if(v&&v.remap&&v.remap[z]&&x++<n){return this.remapChar(v,z,x)}}return[this.unknownChar(y,z)]},fixChar:function(s,t){if(s.length===5){s[5]={}}if(s.c==null){s[0]/=1000;s[1]/=1000;s[2]/=1000;s[3]/=1000;s[4]/=1000;s.c=this.unicodeChar(t)}return s},findBlock:function(u,y){var t=u.Extra,v=u.file,x;for(var w=0,s=t.length;w<s;w++){if(typeof(t[w])==="number"){if(y===t[w]){x=v;break}}else{if(y<t[w][0]){return}if(y<=t[w][1]){x=v;break}}}if(x){delete u.Extra;this.loadFont(v)}},unknownChar:function(s,v){f.signal.Post(["CommonHTML Jax - unknown char",v,s]);var u="";if(s.bold){u+="B"}if(s.italic){u+="I"}var t=this.FONTDATA.UNKNOWN[u||"R"];if(!t[v]){this.getUnknownChar(t,v)}return{type:"unknown",n:v,font:t}},getUnknownChar:function(t,v){var u=this.unicodeChar(v);var s=this.getHDW(u,t.className);t[v]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];t[v].c=u},styledText:function(t,w){f.signal.Post(["CommonHTML Jax - styled text",w,t]);var u=t.style;var x="_"+(u["font-family"]||t.className||"");if(u["font-weight"]){x+="_"+u["font-weight"]}if(u["font-style"]){x+="_"+u["font-style"]}if(!this.STYLEDTEXT){this.STYLEDTEXT={}}if(!this.STYLEDTEXT[x]){this.STYLEDTEXT[x]={className:t.className||""}}var v=this.STYLEDTEXT[x];if(!v["_"+w]){var s=this.getHDW(w,t.className||"",u);v["_"+w]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];v["_"+w].c=w}return{type:"unknown",n:"_"+w,font:v,style:u,rscale:t.rscale}},getHDW:function(B,u,F){var t=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B]]]);var s=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B,["mjx-box"]]]]);t.firstChild.style.fontSize=s.firstChild.style.fontSize="";var v=5*a.em;var E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;a.CHTMLnode.removeChild(t);a.CHTMLnode.removeChild(s);if(C===0){v=5*a.defaultEm;var A=document.body.appendChild(document.createElement("div"));A.appendChild(t);A.appendChild(s);E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;document.body.removeChild(A)}var z=(C-1000)/v,D=x/v,y=E/v-z;return{h:y,d:z,w:D}},addCharList:function(v,x,y){var w={text:"",className:null,a:0};for(var t=0,s=x.length;t<s;t++){var u=x[t];if(this.charList[u.type]){(this.charList[u.type])(u,v,y,w,s)}}if(w.text!==""){if(v.childNodes.length){this.charList.flushText(v,w)}else{m.addText(v,w.text);if(v.className){v.className+=" "+w.className}else{v.className=w.className}}}y.b=(w.flushed?0:y.a)},charList:{"char":function(D,x,B,u,y){var w=D.font,A=(w.remapCombining||{})[D.n];if(w.className===u.className){A=null}else{if(u.className||(A&&u.text!=="")){this.flushText(x,u)}}if(!u.a){u.a=w.centerline/1000}if(u.a>(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.h<t[0]+j){B.t=B.h=t[0]+j}if(B.d<t[1]+b){B.b=B.d=t[1]+b}if(B.l>B.w+t[3]){B.l=B.w+t[3]}if(B.r<B.w+t[4]){B.r=B.w+t[4]}B.w+=t[2]*(D.rscale||1);if(y==1&&w.skew&&w.skew[D.n]){B.skew=w.skew[D.n]}if(t[5]&&t[5].rfix){this.flushText(x,u).style.marginRight=a.Em(t[5].rfix/1000)}if(A){var z=this.flushText(x,u);var s=(v[D.n]||w[D.n])[4]-(t[4]-t[2]);z.style.marginLeft=a.Em(-t[2]-s);if(s<0){z.style.marginRight=a.Em(-s)}}},space:function(t,s,v,u){if(t.w){if(u.text===""){u.className=t.font.className}this.flushText(s,u).style.marginRight=a.Em(t.w);v.w+=t.w}},unknown:function(t,s,w,u){(this["char"])(t,s,w,u,0);var v=t.font[t.n];if(v[5].a){u.a=v[5].a;if(w.a==null||u.a>w.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i<s.length){var y=this.getUnicode(s);v.push.apply(v,this.getCharList(t,y))}}if(v.length){this.addCharList(u.firstChild,v,w)}w.clean();if(w.d<0){w.D=w.d;w.d=0}if(w.h-w.a){u.firstChild.style[w.h-w.a<0?"marginTop":"paddingTop"]=this.EmRounded(w.h-w.a)}if(w.d>-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y<w;y++){if(t.HW[y][0]>=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&x<J*P.min){x=J*P.min}if(x>J){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&s<y*P.min){s=y*P.min}Q.w=Q.r=s;if(s>y){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v<s;v++){if(t[v]){t[v].style.paddingTop=a.Em(u-w[v].a);t[v].style.paddingBottom=a.Em(y+w[v].a);t[v].style.marginTop=t[v].style.marginBottom=0}}},createChar:function(u,y,w,t){var B="",x={fonts:[y[1]],noRemap:true,cache:{}};if(t&&t===d.VARIANT.BOLD&&this.FONTDATA.FONTS[y[1]+"-Bold"]){x.fonts=[y[1]+"-Bold",y[1]]}if(typeof(y[1])!=="string"){x=y[1]}if(y[0] instanceof Array){for(var z=0,v=y[0].length;z<v;z++){B+=String.fromCharCode(y[0][z])}}else{B=String.fromCharCode(y[0])}if(y[4]){w*=y[4]}var A=this.handleText(u,B,x),s=u.firstChild.style;if(w!==1){s.fontSize=this.Percent(w)}if(y[2]){s.paddingLeft=this.Em(y[2]);A.w+=y[2];A.r+=y[2]}if(y[3]){s.verticalAlign=this.Em(y[3]);A.h+=y[3];if(A.h<0){A.h=0}}if(y[5]){s.marginTop=this.Em(y[5]);A.h+=y[5];A.t+=y[5]}if(y[6]){s.marginBottom=this.Em(y[6]);A.d+=y[6];A.b+=y[6]}return A},length2em:function(w,u,x){if(typeof(w)!=="string"){w=w.toString()}if(w===""){return""}if(w===d.SIZE.NORMAL){return 1}if(w===d.SIZE.BIG){return 2}if(w===d.SIZE.SMALL){return 0.71}if(this.MATHSPACE[w]){return this.MATHSPACE[w]}var t=w.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var s=parseFloat(t[1]||"1"),v=t[2];if(u==null){u=1}if(!x){x=1}x=1/this.em/x;if(v==="em"){return s}if(v==="ex"){return s*this.TEX.x_height}if(v==="%"){return s/100*u}if(v==="px"){return s*x}if(v==="pt"){return s/10}if(v==="pc"){return s*1.2}x*=this.pxPerInch;if(v==="in"){return s*x}if(v==="cm"){return s*x/2.54}if(v==="mm"){return s*x/25.4}if(v==="mu"){return s/18}return s*u},thickness2em:function(s,t){var u=a.TEX.rule_thickness/(t||1);if(s===d.LINETHICKNESS.MEDIUM){return u}if(s===d.LINETHICKNESS.THIN){return 0.67*u}if(s===d.LINETHICKNESS.THICK){return 1.67*u}return this.length2em(s,u,t)},Em:function(s){if(Math.abs(s)<0.001){return"0"}return(s.toFixed(3).replace(/\.?0+$/,""))+"em"},EmRounded:function(s){s=(Math.round(s*a.em)+0.05)/a.em;if(Math.abs(s)<0.0006){return"0em"}return s.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(s){return parseFloat(s)},Px:function(s,t){s*=this.em;if(t&&s<t){s=t}if(Math.abs(s)<0.1){return"0"}return s.toFixed(1).replace(/\.0$/,"")+"px"},Percent:function(s){return(100*s).toFixed(1).replace(/\.?0+$/,"")+"%"},Transform:function(v,t,s){var u=v.style;u.transform=u.WebkitTransform=u.MozTransform=u["-ms-transform"]=t;if(s){u.transformOrigin=u.WebkitTransformOrigin=u.MozTransformOrigin=u["-ms-transform-origin"]=s}},arrayEntry:function(s,t){return s[Math.max(0,Math.min(t,s.length-1))]},removeStyles:["fontSize","fontFamily","fontWeight","fontStyle","fontVariant","font"]});a.BBOX=MathJax.Object.Subclass({Init:function(s){for(var t in s){if(s.hasOwnProperty(t)){this[t]=s[t]}}},clean:function(){if(this.h===-i){this.h=0}if(this.d===-i){this.d=0}if(this.l===i){this.l=0}if(this.r===-i){this.r=0}if(this.t===-i){this.t=0}if(this.b===-i){this.b=0}if(this.D&&this.d>0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}if(s+u*(t.w+(t.L||0)+(t.R||0))>this.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}this.w+=u*(t.w+(t.L||0)+(t.R||0));if(u*t.h>this.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]<u){this[v]=u}}}},{zero:function(){return a.BBOX({h:0,d:0,w:0,l:0,r:0,t:0,b:0,scale:1,rscale:1})},empty:function(s){if(!s){s=a.BBOX.zero()}s.h=s.d=s.r=s.t=s.b=-i;s.w=0;s.l=i;delete s.pwidth;return s},styleAdjust:[["borderTopWidth","h","t"],["borderRightWidth","w","r"],["borderBottomWidth","d","b"],["borderLeftWidth","w","l",0],["paddingTop","h","t"],["paddingRight","w","r"],["paddingBottom","d","b"],["paddingLeft","w","l",0],]});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){d=MathJax.ElementJax.mml;d.mbase.Augment({toCommonHTML:function(t,s){return this.CHTMLdefaultNode(t,s)},CHTMLmultiline:function(){d.mbase.CHTMLautoloadFile("multiline")},CHTMLdefaultNode:function(v,t){if(!t){t={}}v=this.CHTMLcreateNode(v);this.CHTML=a.BBOX.empty();this.CHTMLhandleStyle(v);if(this.isToken){this.CHTMLgetVariant()}this.CHTMLhandleScale(v);var s=Math.max((t.minChildren||0),this.data.length);for(var u=0;u<s;u++){this.CHTMLaddChild(v,u,t)}if(!t.noBBox){this.CHTML.clean()}this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v},CHTMLaddChild:function(x,t,s){var z=this.data[t],w;var u=s.childNodes;if(u instanceof Array){u=u[t]||"span"}if(z){if(u){x=a.addElement(x,u)}w=z.toCommonHTML(x,s.childOptions);if(u&&z.CHTML.rscale!==1){x.style.fontSize=x.firstChild.style.fontSize;x.firstChild.style.fontSize=""}if(!s.noBBox){var y=this.CHTML,v=z.CHTML;y.append(v);if(this.data.length===1){if(v.ic){y.ic=v.ic}if(v.skew){y.skew=v.skew}}else{delete y.ic;delete y.skew}if(v.pwidth){y.pwidth=v.pwidth}}}else{if(s.forceChild){w=a.addElement(x,(u||"mjx-box"))}}return w},CHTMLchildNode:function(t,s){t=t.childNodes[s];if(t.nodeName.toLowerCase()==="a"){t=t.firstChild}return t},CHTMLcoreNode:function(s){if(this.inferRow&&this.data[0]){return this.data[0].CHTMLcoreNode(s.firstChild)}return this.CHTMLchildNode(s,this.CoreIndex())},CHTMLstretchChildV:function(v,u,y){var x=this.data[v];if(x){var z=this.CHTML,t=x.CHTML;if(t.stretch||(t.stretch==null&&x.CHTMLcanStretch("Vertical",u,y))){var s=t.w;t=x.CHTMLstretchV(u,y);z.w+=t.w-s;if(z.w>z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t<s;t++){var x=z[t];if(y[x]==false||(!u[x]&&!y[x]&&w[x]==null&&typeof(v[x])==="undefined")){v.setAttribute(x,this.attr[x])}}}return v},CHTMLhandleScale:function(v){var x=1,u=this.parent,w=(u?u.CHTML.scale:1);var s=this.getValues("scriptlevel","fontsize");s.mathsize=this.Get("mathsize",null,!this.isToken);if(s.scriptlevel!==0){if(s.scriptlevel>2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x<s.scriptminsize){x=s.scriptminsize}}if(this.removedStyles&&this.removedStyles.fontSize&&!s.fontsize){s.fontsize=this.removedStyles.fontSize}if(s.fontsize&&!this.mathsize){s.mathsize=s.fontsize}if(s.mathsize!==1){x*=a.length2em(s.mathsize,1,1)}var t=this.CHTMLvariant;if(t&&t.style&&t.style["font-family"]){x*=(a.config.scale/100)/a.scale}this.CHTML.scale=x;w=this.CHTML.rscale=x/w;if(Math.abs(w-1)<0.001){w=1}if(v&&w!==1){v.style.fontSize=a.Percent(w)}return x},CHTMLhandleStyle:function(v){if(!this.style){return}var u=v.style;u.cssText=this.style;this.removedStyles={};for(var t=0,s=a.removeStyles.length;t<s;t++){var w=a.removeStyles[t];if(u[w]){this.removedStyles[w]=u[w];u[w]=""}}},CHTMLhandleBBox:function(w){var t=this.CHTML,v=w.style;if(this.data.length===1&&(this.data[0].CHTML||{}).pwidth){t.pwidth=this.data[0].CHTML.pwidth;t.mwidth=this.data[0].CHTML.mwidth;v.width="100%"}else{if(t.pwidth){t.mwidth=a.Em(t.w);v.width="100%"}else{if(t.w<0){v.width="0px";v.marginRight=a.Em(t.w)}}}if(!this.style){return}for(var u=0,s=a.BBOX.styleAdjust.length;u<s;u++){var x=a.BBOX.styleAdjust[u];if(x&&v[x[0]]){t.adjust(v[x[0]],x[1],x[2],x[3])}}},CHTMLhandleColor:function(s){if(this.mathcolor){s.style.color=this.mathcolor}else{if(this.color){s.style.color=this.color}}if(this.mathbackground){s.style.backgroundColor=this.mathbackground}else{if(this.background){s.style.backgroundColor=this.background}}},CHTMLhandleSpace:function(s){if(!this.useMMLspacing){var t=this.texSpacing();if(t!==""){this.CHTML.L=this.CHTMLlength2em(t);s.className+=" "+a.SPACECLASS[t]}}},CHTMLhandleText:function(t,u,s){if(t.firstChild&&!this.CHTML){this.CHTML=a.BBOX.empty()}this.CHTML=a.handleText(t,u,s,this.CHTML)},CHTMLgetVariant:function(){var s=this.getValues("mathvariant","fontfamily","fontweight","fontstyle"),u;s.hasVariant=this.Get("mathvariant",true);if(this.removedStyles){u=this.removedStyles;if(u.fontFamily){s.family=u.fontFamily}if(u.fontWeight){s.weight=u.fontWeight}if(u.fontStyle){s.style=u.fontStyle}}if(!s.hasVariant){if(s.fontfamily){s.family=s.fontfamily}if(s.fontweight){s.weight=s.fontweight}if(s.fontstyle){s.style=s.fontstyle}}if(s.weight&&s.weight.match(/^\d+$/)){s.weight=(parseInt(s.weight)>600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){if(u.indentalign==="right"){x.style.marginRight=a.Em(-t)}t*=a.em/a.outerEm;f.Insert(w,({left:{textIndent:a.Em(t)},right:{display:"flex",flexDirection:"row-reverse"},center:{textIndent:a.Em(2*t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,u,{childOptions:{variant:t.mathvariant,remap:this.remap,remapchars:t.remapchars}})}if(!a.isChar(t.text)){delete this.CHTML.skew}else{if(this.CHTML.w===0&&this.CHTML.l<0){this.CHTMLfixCombiningChar(v)}}if(t.largeop){this.CHTMLcenterOp(v)}}this.CHTML.clean();this.CHTMLhandleBBox(v);this.CHTMLhandleSpace(v);this.CHTMLhandleColor(v);return v},CHTMLhandleSpace:function(v){if(this.hasMMLspacing()){var t=this.getValues("scriptlevel","lspace","rspace");t.lspace=Math.max(0,this.CHTMLlength2em(t.lspace));t.rspace=Math.max(0,this.CHTMLlength2em(t.rspace));if(t.scriptlevel>0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.h<a.TEX.x_height){C.h+=a.TEX.x_height-F.h;u.style.marginTop=a.Em(a.TEX.x_height-Math.max(F.h,0.35));F.h=a.TEX.x_height}var A=u,D=0;if(F.ic){D=1.3*F.ic+0.05}if(this.data[this.over]){A=this.CHTMLaddOverscript(z,x,E,D,u,t)}if(this.data[this.under]){this.CHTMLaddUnderscript(B,x,E,D,w,A,t)}else{if(!t){w.appendChild(A)}}this.CHTMLplaceBoxes(u,B,z,E,x);return w},CHTMLgetBBoxes:function(A,x,v){var y,t=this.data.length,z,u=-i,s=u;for(y=0;y<t;y++){A[y]=this.CHTMLbboxFor(y);A[y].x=A[y].y=0;if(this.data[y]){A[y].stretch=this.data[y].CHTMLcanStretch("Horizontal")}z=(y===this.base?1:A[y].rscale);if(y!==this.base){delete A[y].L;delete A[y].R}s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)));if(!A[y].stretch&&s>u){u=s}}if(u===-i){u=s}for(y=0;y<t;y++){if(A[y].stretch){z=(y===this.base?1:A[y].rscale);A[y]=this.data[y].CHTMLstretchH(x[y].firstChild,u/z);A[y].x=A[y].y=0;s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)))}}if(!A[this.base]){A[this.base]=a.BBOX.empty()}return s},CHTMLaddOverscript:function(B,z,F,E,t,s){var D=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var A=z[this.over],G=z[this.base],u=A.rscale;if(!s){var C=a.Element("mjx-stack");C.appendChild(B);C.appendChild(t)}if(A.D){A.d=A.D}if(A.d<0){B.firstChild.style.verticalAlign="top";B.style.height=a.Em(A.h+A.d)}A.x=0;if(F.accent){if(A.w<0.001){A.x+=(A.r-A.l)/2}v=a.TEX.rule_thickness;w=0;if(G.skew){A.x+=u*G.skew;D.skew=u*G.skew;if(A.x+u*A.w>D.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y<v;y++){x=(y===this.base?1:z[y].rscale);var C=x*(z[y].w+(z[y].L||0)+(z[y].R||0));z[y].x+={left:0,center:(t-C)/2,right:t-C}[E.align];if(z[y].x<F){F=z[y].x}}for(y=0;y<v;y++){if(this.data[y]){x=(y===this.base?1:z[y].rscale);if(z[y].x-F){var u=(y===this.base?s:y===this.over?A:B);u.style.paddingLeft=a.Em((z[y].x-F)/x)}D.combine(z[y],z[y].x-F,z[y].y)}}this.CHTML=D},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-op","mjx-under","mjx-over"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.msubsup.Augment({toCommonHTML:function(S,C){var A=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");var D,H,z;if(C&&C.stretch){if(this.data[this.base]){D=a.getNode(S,"mjx-base")}if(this.data[this.sub]){H=a.getNode(S,"mjx-sub")}if(this.data[this.sup]){z=a.getNode(S,"mjx-sup")}E=a.getNode(S,"mjx-stack")}else{var K=["mjx-base","mjx-sub","mjx-sup"];if(this.sup===1){K[1]=K[2]}S=this.CHTMLdefaultNode(S,{childNodes:K,noBBox:true,forceChild:true,minChildren:3});D=S.childNodes[this.base];H=S.childNodes[this.sub];z=S.childNodes[this.sup];if(!this.CHTMLnotEmpty(this.data[this.sub])){S.removeChild(H);H=null}if(!this.CHTMLnotEmpty(this.data[this.sup])){S.removeChild(z);z=null}if(S.childNodes.length===3){var E=a.addElement(S,"mjx-stack");E.appendChild(z);E.appendChild(H)}}var F=[],G=a.BBOX.empty(this.CHTML);for(var V=0,T=this.data.length;V<T;V++){F[V]=this.CHTMLbboxFor(V)}var y=F[this.base]||a.BBOX.empty(),P=F[this.sub],W=F[this.sup];var B=(H?P.rscale:1),w=(z?W.rscale:1);G.combine(y,0,0);var X=a.TEX.x_height,N=a.TEX.scriptspace;var Q=a.TEX.sup_drop*w,O=a.TEX.sub_drop*B;var L=y.h-Q,J=y.d+O,Y=0,R;if(y.ic){G.w-=y.ic;D.style.marginRight=a.Em(-y.ic);Y=1.3*y.ic+0.05}var U=this.data[this.base];if(U){if((U.type==="mrow"||U.type==="mstyle")&&U.data.length===1){U=U.data[0]}if(U.type==="mi"||U.type==="mo"){if(a.isChar(U.data.join(""))&&y.rscale===1&&!y.sH&&!U.Get("largeop")){L=J=0}}}A.subscriptshift=(A.subscriptshift===""?0:this.CHTMLlength2em(A.subscriptshift));A.superscriptshift=(A.superscriptshift===""?0:this.CHTMLlength2em(A.superscriptshift));var I=G.w;if(H){P.w+=N}if(z){W.w+=N}if(!z){if(H){J=Math.max(J,a.TEX.sub1,B*P.h-(4/5)*X,A.subscriptshift);H.style.verticalAlign=a.Em(-J/B);H.style.paddingRight=a.Em(N/B);G.combine(P,I,-J)}}else{if(!H){R=a.TEX[(A.displaystyle?"sup1":(A.texprimestyle?"sup3":"sup2"))];L=Math.max(L,R,w*W.d+(1/4)*X,A.superscriptshift);z.style.verticalAlign=a.Em(L/w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);G.combine(W,I+Y,L)}else{J=Math.max(J,a.TEX.sub2);var M=a.TEX.rule_thickness;if((L-w*W.d)-(B*P.h-J)<3*M){J=3*M-L+w*W.d+B*P.h;Q=(4/5)*X-(L-w*W.d);if(Q>0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(K<L){I+=(L-K)/2;G+=(L-K)/2}}else{L=Math.max((O?2:0)*M+J,J/2+1.5*M);J=Math.max(J,M);K=(I-P.d*F)-(T+J/2);if(K<L){I+=(L-K)}K=(T-J/2)-(B.h*z-G);if(K<L){G+=(L-K)}P.L=P.R=B.L=B.R=0.1;var A=a.addElement(y,"mjx-line",{style:{"border-bottom":a.Px(J*C.scale,1)+" solid",top:a.Em(-J/2-T)}})}C.combine(P,0,I);C.combine(B,0,-G);C.clean();y.style.width=a.Em(C.w);D.style.width=a.Em(C.w/F);w.style.width=a.Em(C.w/z);if(A){A.style.width=y.style.width}D.style.top=a.Em(-C.h/F);w.style.bottom=a.Em(-C.d/z);a.addElement(N,"mjx-vsize",{style:{height:a.Em(C.h+C.d),verticalAlign:a.Em(-C.d)}})}if(!this.texWithDelims){var Q=a.TEX.nulldelimiterspace;y.style.padding="0 "+a.Em(Q);C.l+=Q;C.r+=Q;C.w+=2*Q}return N},CHTMLcanStretch:function(s){return false}});d.msqrt.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w,{childNodes:["mjx-box","mjx-root"],forceChild:true,noBBox:true});var v=w.firstChild||a.Element("mjx-box");var E=a.addElement(w,"mjx-box");E.appendChild(v);var F=this.CHTMLbboxFor(0),C=a.BBOX.empty(this.CHTML);var G=a.TEX.rule_thickness,y=a.TEX.surd_height,u=G,s,D;if(this.Get("displaystyle")){u=a.TEX.x_height}s=G+u/4;D=F.h+F.d+s+G;var z=a.Element("mjx-surd");E.insertBefore(z,v);var A=a.createDelimiter(z,8730,[D-0.04,D]);if(A.h+A.d>D){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,z.scale)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9*t)+0.6*t+Math.max(0,u.d*u.scale-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,"sep"+u,{});this.CHTMLaddChild(v,u,{})}this.CHTMLaddChild(v,"close",{});var t=this.CHTML.h,w=this.CHTML.d;this.CHTMLstretchChildV("open",t,w);for(u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV("sep"+u,t,w);this.CHTMLstretchChildV(u,t,w)}this.CHTMLstretchChildV("close",t,w);this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mrow.Augment({toCommonHTML:function(w,t){t=t||{};w=this.CHTMLdefaultNode(w);var z=this.CHTML,v=z.h,x=z.d,y;for(var u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV(u,v,x);if(this.data[u]&&this.data[u].CHTML&&this.data[u].CHTML.w<0){y=true}}if(this.CHTMLlineBreaks()){this.CHTMLmultiline(w);if(t.autowidth){w.style.width=""}}else{if(y&&z.w){w.style.width=a.Em(Math.max(0,z.w))}if(z.w<0){w.style.marginRight=a.Em(z.w)}}return w},CHTMLlineBreaks:function(){if(!this.parent.linebreakContainer){return false}return(c.automatic&&this.CHTML.w>a.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML);
+MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.9";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;q<n;q++){var B=this.data[q],A=(B.type==="mtr"?0:c);y[q]=r;h[q]=t;for(var p=A,v=B.data.length+A;p<v;p++){if(l[p]==null){l[p]=-f;if(p>w){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;q<n;q++){y[q]=x;h[q]=o}}k.H=y;k.D=h;k.W=l,k.J=w},CHTMLgetAttributes:function(v,j){var l=d(v.columnspacing),x=d(v.rowspacing),t=d(v.columnalign),r=d(v.rowalign),k=d(v.columnlines),w=d(v.rowlines),o=d(v.columnwidth),n=[],q,p,u=j.J,s=j.rows.length-1;for(q=0,p=l.length;q<p;q++){l[q]=this.CHTMLlength2em(l[q])}for(q=0,p=x.length;q<p;q++){x[q]=this.CHTMLlength2em(x[q])}while(l.length<u){l.push(l[l.length-1])}while(t.length<=u){t.push(t[t.length-1])}while(k.length<u){k.push(k[k.length-1])}while(o.length<=u){o.push(o[o.length-1])}while(x.length<s){x.push(x[x.length-1])}while(r.length<=s){r.push(r[r.length-1])}while(w.length<s){w.push(w[w.length-1])}t[c]=(v.side.substr(0,1)==="l"?"left":"right");for(q=0;q<=s;q++){var y=this.data[q];n[q]=[];if(y.rowalign){r[q]=y.rowalign}if(y.columnalign){n[q]=d(y.columnalign);while(n[q].length<=u){n[q].push(n[q][n[q].length-1])}}}var h=d(v.framespacing);if(h.length!=2){h=d(this.defaults.framespacing)}h[0]=Math.max(0,this.CHTMLlength2em(h[0]));h[1]=Math.max(0,this.CHTMLlength2em(h[1]));if(v.columnlines.replace(/none/g,"").replace(/ /g,"")!==""||v.rowlines.replace(/none/g,"").replace(/ /g,"")!==""){v.fspace=true}if(v.frame===b.LINES.NONE){delete v.frame}else{v.fspace=true}if(v.frame){h[0]=Math.max(0,h[0]);h[1]=Math.max(0,h[1])}if(v.fspace){l[u]=h[0];x[s]=h[1]}else{l[u]=x[s]=0}k[u]=w[s]=b.LINES.NONE;j.CSPACE=l;j.RSPACE=x;j.CALIGN=t;j.RALIGN=r;j.CLINES=k;j.RLINES=w;j.CWIDTH=o;j.RCALIGN=n;j.FSPACE=h},CHTMLadjustCells:function(l,r){var S=r.rows,W=r.CSPACE,o=r.CLINES,x=r.RSPACE,F=r.RLINES,V=r.CALIGN,q=r.RALIGN,G=r.RCALIGN;W[r.J]*=2;x[S.length-1]*=2;var p="0",I,t,z,N,n,P,U=0;if(l.fspace){U=r.FSPACE[1];p=e.Em(r.FSPACE[1])}r.RHD=[];r.RH=[];for(var Q=0,K=S.length;Q<K;Q++){var w=S[Q],v=this.data[Q];I=x[Q]/2;N=null;z="0";if(F[Q]!==b.LINES.NONE&&F[Q]!==""){N=r.t+" "+F[Q]}if(N||(o[O]!==b.LINES.NONE&&o[O]!=="")){while(w.length<=r.J){w.push(e.addElement(w.node,"mjx-mtd",null,[["span"]]))}}r.RH[Q]=U+r.H[Q];U=Math.max(0,I);r.RHD[Q]=r.RH[Q]+U+r.D[Q];I=e.Em(U);if(l.fspace){z=e.Em(r.FSPACE[0])}for(var O=0,y=w.length;O<y;O++){var E=(v.type==="mtr"?0:c);var J=v.data[O-E]||{CHTML:e.BBOX.zero()};var k=w[O].style;n=J.CHTML;t=W[O]/2;if(o[O]!==b.LINES.NONE){k.borderRight=r.t+" "+o[O];t-=1/e.em/2}t=e.Em(Math.max(0,t));k.padding=p+" "+t+" 0px "+z;if(N){k.borderBottom=N}z=t;P=(J.rowalign||(this.data[Q]||{}).rowalign||q[Q]);var A=Math.max(1,n.h),C=Math.max(0.2,n.d),h=(r.H[Q]+r.D[Q])-(A+C),u=w[O].firstChild.style;if(P===b.ALIGN.TOP){if(h){u.marginBottom=e.Em(h)}k.verticalAlign="top"}else{if(P===b.ALIGN.BOTTOM){k.verticalAlign="bottom";if(h){u.marginTop=e.Em(h)}}else{if(P===b.ALIGN.CENTER){if(h){u.marginTop=u.marginBottom=e.Em(h/2)}k.verticalAlign="middle"}else{if(A!==r.H[Q]){u.marginTop=e.Em(r.H[Q]-A)}}}}P=(J.columnalign||G[Q][O]||V[O]);if(P!==b.ALIGN.CENTER){k.textAlign=P}}w.node.style.height=e.Em(r.RHD[Q]);p=I}W[r.J]/=2;x[S.length-1]/=2},CHTMLalignV:function(w,k,o){var m,t=k.rows.length,v=k.H,j=k.D,x=k.RSPACE;if(typeof(w.align)!=="string"){w.align=String(w.align)}if(w.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){m=parseInt(RegExp.$3||"0");w.align=RegExp.$1;if(m<0){m+=k.rows.length+1}if(m>t||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q<t;q++){var r=v[q],s=j[q];p+=r+s+x[q];if(m){if(q===m-1){l+=({top:r+s,bottom:0,center:(r+s)/2,baseline:s,axis:u+s})[w.align]+x[q]}if(q>=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n||(y&&C)){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;H<B;H++){F=h[H];v=Math.max(o[F],this.CHTMLlength2em(I[F],G));k+=v-o[F];o[F]=v;t[F].style.width=e.Em(v)}E+=k}if(!C){D=s}if(G>E&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;H<B;H++){F=D[H];o[F]+=x;t[F].style.width=e.Em(o[F])}E=G}}}o[c]=r.W[c];r.W=o;r.R=E;if(y){A.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=e.Em(E);A.firstChild.style.width=l.width;A.firstChild.style.margin="auto"}},CHTMLstretchCells:function(x,l){var y=l.rows,w=l.H,k=l.D,m=l.W,t=l.J,s=y.length-1;for(var o=0;o<=s;o++){var z=y[o],q=this.data[o];var p=w[o],r=k[o];for(var n=0;n<=t;n++){var v=z[n],u=q.data[n];if(!u){continue}if(u.CHTML.stretch==="V"){u.CHTMLstretchV(p,r)}else{if(u.CHTML.stretch==="H"){u.CHTMLstretchH(v,m[n])}}}}},CHTMLaddLabels:function(h,k,w,B){var q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(q.indentalignfirst!==b.INDENTALIGN.INDENTALIGN){q.indentalign=q.indentalignfirst}if(q.indentalign===b.INDENTALIGN.AUTO){q.indentalign=a.displayAlign}if(q.indentshiftfirst!==b.INDENTSHIFT.INDENTSHIFT){q.indentshift=q.indentshiftfirst}if(q.indentshift==="auto"){q.indentshift="0"}var z=this.CHTMLlength2em(q.indentshift,e.cwidth);var A=this.CHTMLlength2em(h.minlabelspacing,0.8);var p=A+k.W[c],y=0,D=k.R;var n=this.CHTMLlength2em(a.displayIndent,e.cwidth);var t=(k.CALIGN[c]===b.INDENTALIGN.RIGHT?-1:1);if(q.indentalign===b.INDENTALIGN.CENTER){D+=2*(p-t*(z+n));z+=n}else{if(k.CALIGN[c]===q.indentalign){if(n<0){y=t*n;n=0}z+=t*n;if(p>t*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x<v;x++){if(l[x]&&this.data[x].data[0]){C.appendChild(l[x]);var r=this.data[x].data[0].CHTML;j=k.RH[x]-Math.max(1,r.h);if(j){l[x].firstChild.firstChild.style.marginTop=e.Em(j)}l[x].style.height=e.Em(k.RHD[x])}else{e.addElement(C,"mjx-label",{style:{height:e.Em(k.RHD[x])}})}}w.style.width=this.CHTML.pwidth="100%";w.style.minWidth=this.CHTML.mwidth=e.Em(Math.max(0,D))}});b.mtr.Augment({toCommonHTML:function(l,j){l=this.CHTMLcreateNode(l);this.CHTMLhandleStyle(l);this.CHTMLhandleScale(l);if(!j){j={rows:[],labels:[]}}var n=[];j.rows.push(n);n.node=l;j.labels.push(null);for(var k=0,h=this.data.length;k<h;k++){n.push(this.CHTMLaddChild(l,k,j))}this.CHTMLhandleColor(l);return l}});b.mlabeledtr.Augment({toCommonHTML:function(n,k){n=this.CHTMLcreateNode(n);this.CHTMLhandleStyle(n);this.CHTMLhandleScale(n);if(!k){k={rows:[],labels:[]}}var o=[];k.rows.push(o);o.node=n;var j=e.Element("mjx-label");k.labels.push(j);this.CHTMLaddChild(j,0,k);if(this.data[0]){k.labeled=true}for(var l=1,h=this.data.length;l<h;l++){o.push(this.CHTMLaddChild(n,l,k))}this.CHTMLhandleColor(n);return n}});b.mtd.Augment({toCommonHTML:function(l,i){l=this.CHTMLdefaultNode(l,i);e.addElement(l.firstChild,"mjx-strut");if(this.isEmbellished()){var m=this.CoreMO(),h=this.CHTML;if(m.CHTMLcanStretch("Vertical")){h.stretch="V"}else{if(m.CHTMLcanStretch("Horizontal")){h.stretch="H"}}if(h.stretch){var j=m.Get("minsize",true);if(j){if(h.stretch==="V"){var n=h.h+h.d;if(n){var k=this.CHTMLlength2em(j,n)/n;if(k>1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_CHTML-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_CHTML-full.js");
diff --git a/config/TeX-MML-AM_CHTML.js b/config/TeX-MML-AM_CHTML.js
index e775e55f15..00610459f8 100644
--- a/config/TeX-MML-AM_CHTML.js
+++ b/config/TeX-MML-AM_CHTML.js
@@ -43,27 +43,115 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_CHTML.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_CHTML.js");
diff --git a/config/TeX-MML-AM_HTMLorMML-full.js b/config/TeX-MML-AM_HTMLorMML-full.js
index 77a27c5b11..3a51c51f28 100644
--- a/config/TeX-MML-AM_HTMLorMML-full.js
+++ b/config/TeX-MML-AM_HTMLorMML-full.js
@@ -50,32 +50,120 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
 (function(c,g){var f="2.7.0";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
 (function(l,c,g,e){var f,i=c.Browser.isMSIE;var h,b,d,k;c.Register.StartupHook("MathZoom Ready",function(){k=MathJax.Extension.MathZoom});var j=function(m,o){var n=e.Element("span");m="padding"+m;if(o){n.style.cssText=(o.getAttribute("style")||"");if(n.style.padding===""&&(n.style[m]||"")===""){n.style[m]="0px";o.setAttribute("style",n.style.cssText)}}};var a=function(r,m,p){if(r){var o=e.Element("span");o.style.cssText=(r.getAttribute("style")||"");if(o.style.padding===""){var q={paddingLeft:p,paddingTop:m,paddingRight:"0px",paddingBottom:"0px"};for(var n in q){if(q.hasOwnProperty(n)){if((o.style[n]||"")===""){o.style[n]=q[n]}}}}r.setAttribute("style",o.style.cssText)}};l.Augment({config:{styles:{".MathJax_MathML":{"font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},"span.MathJax_MathML":{display:"inline!important"},"div.MathJax_MathML":{display:"block!important"},".MathJax_mmlExBox":{display:"block!important",overflow:"hidden",height:"1px",width:"60ex","min-height":0,"max-height":"none",padding:0,border:0,margin:0}}},handlesVariants:false,settings:c.config.menuSettings,ex:1,scale:1,adjustWidths:[],Config:function(){this.SUPER(arguments).Config.call(this);if(this.settings.scale){this.config.scale=this.settings.scale}if(c.config.displayAlign!=="center"){var o=c.config.displayAlign,m=c.config.displayIndent;var n={"text-align":o+"!important"};n["margin-"+o]=m+"!important";c.Insert(this.config.styles,{"div.MathJax_MathML":n,"div.MathJax_MathML math":{"text-align":o},"div.MathJax_MathContainer > span":{"text-align":o+"!important"}})}if(!this.require){this.require=[]}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){h=MathJax.Extension.MathEvents.Event;b=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=h.ContextMenu;this.Mousedown=h.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;if(!c.Browser.hasMathPlayer){this.EmExSpan=e.Element("span",{style:{position:"absolute","font-size-adjust":"none"}},[["div",{className:"MathJax_mmlExBox"}],["span",{className:"MathJax_MathML"}]]);f.math(f.mspace().With({width:"60ex"})).toNativeMML(this.EmExSpan.lastChild)}return g.Styles(this.config.styles)},InitializeMML:function(){this.initialized=true;if(c.Browser.hasMathPlayer){try{if(!c.Browser.mpNamespace){var m=document.createElement("object");m.id="mathplayer";m.classid="clsid:32F66A20-7614-11D4-BD11-00104BD3F987";document.getElementsByTagName("head")[0].appendChild(m);document.namespaces.add("m","http://www.w3.org/1998/Math/MathML");c.Browser.mpNamespace=true}if(!c.Browser.mpImported){document.namespaces.m.doImport("#mathplayer");c.Browser.mpImported=true}}catch(n){if(!this.config.noMathPlayerWarning){alert(MathJax.Localization._(["MathML","MathPlayer"],"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX     \ncontrols from running.  Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics."))}}}else{document.body.appendChild(this.EmExSpan);this.defaultEx=this.EmExSpan.firstChild.offsetWidth/60;this.defaultMEx=this.EmExSpan.lastChild.offsetWidth/60;document.body.removeChild(this.EmExSpan)}},preTranslate:function(o){var t=o.jax[this.id],u,p=t.length,y,r,A,w,z,n,v,s,q;for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}if(!this.initialized){this.InitializeMML()}r=y.previousSibling;if(r&&r.className==="MathJax_MathML"){r.parentNode.removeChild(r)}n=y.MathJax.elementJax;if(!n){continue}z=n.root;n.NativeMML={};var x=(z.Get("display")==="block"?"div":"span");A=e.Element(x,{className:"MathJax_MathML",id:n.inputID+"-Frame"},[["span",{className:"MathJax_MathContainer",isMathJax:true,jaxID:this.id,style:{position:"relative",display:"inline-block","white-space":"nowrap"}},[["span",{isMathJax:true,style:{display:"inline-block"}}]]]]);y.parentNode.insertBefore(A,y);if(!i){y.parentNode.insertBefore(this.EmExSpan.cloneNode(true),y)}}for(u=0;u<p;u++){y=t[u];if(!y.parentNode){continue}n=y.MathJax.elementJax;if(!n){continue}if(!i){w=y.previousSibling;v=w.firstChild.offsetWidth/60;s=w.lastChild.offsetWidth/60;if(v===0||v==="NaN"){v=this.defaultEx;s=this.defaultMEx}q=(this.config.matchFontHeight&&s>1?v/s:1);q=Math.floor(Math.max(this.config.minScaleAdjust/100,q)*this.config.scale);n.NativeMML.ex=v;n.NativeMML.mex=s}else{q=100}n.NativeMML.fontSize=q+"%";n.NativeMML.scale=q/100}if(!i){for(u=0;u<p;u++){y=t[u];if(y.parentNode&&y.MathJax.elementJax){y.parentNode.removeChild(y.previousSibling)}}}},Translate:function(s){if(!s.parentNode){return}var m=s.MathJax.elementJax,t=m.root;var u=document.getElementById(m.inputID+"-Frame");if(!u){return}var n=u.firstChild,q=n.firstChild;this.ex=m.NativeMML.ex||this.defaultEx;this.scale=m.NativeMML.scale||1;if(this.scale!==1){u.style.fontSize=m.NativeMML.fontSize}try{t.toNativeMML(q,m)}catch(r){if(r.restart){while(q.firstChild){q.removeChild(q.firstChild)}}throw r}if(i){if(n.addEventListener){for(var o in this.MSIE9events){if(this.MSIE9events.hasOwnProperty(o)){n.addEventListener(o,this.MSIE9event,true)}}}else{var p=(this.config.showMathMenuMSIE!=null?this:c).config;if(p.showMathMenuMSIE&&!this.settings.mpContext&&!this.settings.mpMouse){this.MSIEoverlay(n)}else{n.style.position="";q.firstChild.onmousedown=this.MSIEaltMenu}}}else{n.oncontextmenu=h.Menu;n.onmouseover=h.Mouseover;n.onmouseout=h.Mouseout;n.onmousedown=h.Mousedown;n.onclick=h.Click;n.ondblclick=h.DblClick;n.onkeydown=h.Keydown;n.tabIndex=c.getTabOrder(m);if(c.Browser.noContextMenu){n.ontouchstart=b.start;n.ontouchend=b.end}}},postTranslate:function(n){if(this.forceReflow){var m=(document.styleSheets||[])[0]||{};m.disabled=true;m.disabled=false}},Remove:function(m){var n=m.SourceElement();if(!n){return}n=n.previousSibling;if(!n){return}if(n.className.match(/MathJax_MathML/)){n.parentNode.removeChild(n)}},MMLnamespace:"http://www.w3.org/1998/Math/MathML",isFullWidth:function(r){if(!r){return}var q=r.getAttribute("width")||(String(r.getAttribute("style")).match(/(?:^| )width: *([^; ]*)/)||[])[1];if(q){return !!q.match(/%/)}if(r.nodeName.match(/^(semantics|math|mstyle)$/)){q=this.isFullWidth(r.firstChild)}else{if(r.nodeName.toLowerCase()==="mrow"){for(var o=0,n=r.childNodes.length;o<n&&!q;o++){q=this.isFullWidth(r.childNodes[o])}}}if(q){var p="width:100%; "+(r.getAttribute("style")||"");r.setAttribute("style",p.replace(/ +$/,""))}return q},MSIEoverlay:function(m){var n=m.firstChild;if(n.nodeName.toLowerCase()==="span"){n=n.firstChild}var o=this.getHoverBBox(null,n,{});e.addElement(m,"span",{style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{isMathJax:true,className:"MathJax_MathPlayer_Overlay",style:{display:"inline-block",position:"absolute",left:d.Px(-o.w),top:d.Px(-o.h-(o.y||0)-1),width:d.Px(o.w),height:d.Px(o.h+o.d),cursor:"pointer","background-color":"white",filter:"alpha(opacity=0)"}}]]);c.Insert(m,{msieMath:n,onmousedown:this.MSIEevent,oncontextmenu:this.MSIEevent,onclick:this.MSIEevent,onmouseup:this.MSIEevent,onmousemove:this.MSIEevent,ondblclick:this.MSIEevent,onmouseover:this.MSIEevent,onmouseout:this.MSIEevent})},MSIEevents:{mousedown:"Mousedown",contextmenu:"ContextMenu",click:"Click",mouseup:"Mouseup",mousemove:"Mousemove",dblclick:"DblClick",mouseover:"Mouseover",mouseout:"Mouseout"},MSIEevent:function(){var n=window.event;var m=l.MSIEevents[n.type];if(l[m]&&l[m](n,this)===false){return false}if(k&&k.HandleEvent(n,m,this)===false){return false}if(n.srcElement.className==="MathJax_MathPlayer_Overlay"&&this.msieMath.fireEvent){if(m==="ContextMenu"||m==="Mouseover"||m==="Mouseout"){this.msieMath.fireEvent("on"+n.type,n)}}return h.False(n)},MSIEaltMenu:function(){var m=this.parentNode.parentNode;while(!m.jaxID){m=m.parentNode}h.AltContextMenu(window.event,m)},MSIE9events:{contextmenu:"Menu",click:"Click",dblclick:"DblClick",mouseup:"False",mouseover:"Mouseover",mouseout:"Mouseout"},MSIE9event:function(n){if(n.type==="contextmenu"&&l.settings.mpContext){return true}if(n.type==="mouseup"&&l.settings.mpMouse){return true}if(n.type==="click"&&l.settings.mpContext){return h.AltContextMenu(n,this)}var m=l.MSIE9events[n.type];return h[m].call(this,n)},getJaxFromMath:function(m){m=m.parentNode;do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return c.getJaxFor(m)},getHoverSpan:function(m,n){return n.firstChild},getHoverBBox:function(m,n,o){return h.getBBox(n.parentNode)},Zoom:function(n,u,s,m,r){n.root.toNativeMML(u);if(this.msieIE8HeightBug){u.style.position="absolute"}if(l.widthBug){u.style.width=u.parentNode.style.width=""}if(u.parentNode.style.width.match(/%$/)){u.parentNode.style.minWidth=Math.ceil(3*r/4)+"px"}var p=s.offsetWidth||s.scrollWidth,v=s.offsetHeight||s.scrollHeight;var t=u.offsetWidth,q=u.offsetHeight;if(l.widthBug||u.style.width.match(/%/)){var o=u.firstChild.firstChild.scrollWidth;if(o>t){t=o;u.parentNode.style.width=u.style.minWidth=t+"px"}}if(this.msieIE8HeightBug){u.style.position=""}return{Y:-h.getBBox(u.parentNode).h,mW:p,mH:v,zW:t,zH:q}},NAMEDSPACE:{negativeveryverythinmathspace:"-.0556em",negativeverythinmathspace:"-.1111em",negativethinmathspace:"-.1667em",negativemediummathspace:"-.2222em",negativethickmathspace:"-.2778em",negativeverythickmathspace:"-.3333em",negativeveryverythickmathspace:"-.3889em",veryverythinmathspace:".0556em",verythinmathspace:".1111em",thinmathspace:".1667em",mediummathspace:".2222em",thickmathspace:".2778em",verythickmathspace:".3333em",veryverythickmathspace:".3889em"}});c.Register.StartupHook("mml Jax Ready",function(){f=MathJax.ElementJax.mml;f.mbase.Augment({toNativeMML:function(r){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}r.appendChild(p)},NativeMMLattributes:function(w){var r=(this.type==="mstyle"?f.math.prototype.defaults:this.defaults);var t=(this.attrNames||f.copyAttributeNames),v=f.skipAttributes,o=f.copyAttributes;if(!this.attrNames){for(var p in r){if(!v[p]&&!o[p]&&r.hasOwnProperty(p)){if(this[p]!=null&&this[p]!==r[p]){if(this.Get(p,null,1)!==this[p]){w.setAttribute(p,this.NativeMMLattribute(this[p]))}}}}}for(var s=0,q=t.length;s<q;s++){if(o[t[s]]===1&&!r.hasOwnProperty(t[s])){continue}var u=(this.attr||{})[t[s]];if(u==null){u=this[t[s]]}if(u!=null){w.setAttribute(t[s],this.NativeMMLattribute(u))}}this.NativeMMLclass(w)},NativeMMLclass:function(o){var q=[];if(this["class"]){q.push(this["class"])}if(this.isa(f.TeXAtom)){var p=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(p){q.push("MJX-TeXAtom-"+p);if(p==="OP"&&!this.movablelimits){q.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.NativeMMLvariants[this.mathvariant]){q.push("MJX"+this.mathvariant)}if(this.variantForm){q.push("MJX-variant")}if(q.length){o.setAttribute("class",q.join(" "))}},NativeMMLattribute:function(o){o=String(o);if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}else{if(o.match(/^\s*(([-+])?(\d+(\.\d*)?|\.\d+))\s*mu\s*$/)){o=(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.NativeMMLvariants[o]){o=this.NativeMMLvariants[o]}}}return o},NativeMMLvariants:{"-tex-caligraphic":f.VARIANT.SCRIPT,"-tex-caligraphic-bold":f.VARIANT.BOLDSCRIPT,"-tex-oldstyle":f.VARIANT.NORMAL,"-tex-oldstyle-bold":f.VARIANT.BOLD,"-tex-mathit":f.VARIANT.ITALIC},NativeMMLelement:function(o){var p=(c.Browser.mpNamespace?document.createElement("m:"+o):(document.createElementNS?document.createElementNS(l.MMLnamespace,o):document.createElement(o)));p.isMathJax=true;return p}});f.mrow.Augment({toNativeMML:function(s){var r,p;if(this.inferred&&this.parent.inferRow){for(r=0,p=this.data.length;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(s)}else{s.appendChild(this.NativeMMLelement("mrow"))}}}else{if(l.stretchyMoBug&&(this.open||this.close)){var q=this.NativeMMLelement("mfenced");this.NativeMMLattributes(q);r=0,p=this.data.length;if(this.open){q.setAttribute("open",this.open);r++}if(this.close){q.setAttribute("close",this.close);p--}var o=q;if(p-r+1>1){o=this.NativeMMLelement("mrow");s.appendChild(q);s=q}for(;r<p;r++){if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}s.appendChild(o)}else{this.SUPER(arguments).toNativeMML.call(this,s)}}}});f.msubsup.Augment({toNativeMML:function(s){var r=this.type;if(this.data[this.sup]==null){r="msub"}if(this.data[this.sub]==null){r="msup"}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});f.munderover.Augment({toNativeMML:function(s){var r=this.type;var t=this.data[this.base];if(t&&t.isa(f.TeXAtom)&&t.movablelimits&&!t.Get("displaystyle")){r="msubsup";if(this.data[this.under]==null){r="msup"}if(this.data[this.over]==null){r="msub"}}else{if(this.data[this.under]==null){r="mover"}if(this.data[this.over]==null){r="munder"}}var p=this.NativeMMLelement(r);this.NativeMMLattributes(p);if(this.data[0]){delete this.data[0].inferred}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}}s.appendChild(p)}});if(!i){var m=c.SplitList;f.mtable.Augment({toNativeMML:function(z){var s,q;if(l.tableSpacingBug){var A=this.getValues("rowspacing","columnspacing");this.nMMLtopPadding=m("0px "+A.rowspacing);this.nMMLleftPadding=m("0px "+A.columnspacing);var y=this.nMMLtopPadding,v=y.length;for(s=0,q=this.data.length;s<q;s++){if(this.data[s]){this.data[s].nMMLtopPadding=y[s<v?s:v-1]}}}if(l.tableLabelBug){for(s=0,q=this.data.length;s<q;s++){if(this.data[s]&&this.data[s].isa(f.mlabeledtr)){var u=c.config.displayAlign.charAt(0),w=this.Get("side").charAt(0);this.nMMLhasLabels=true;this.nMMLlaMatch=(u===w);this.nMMLforceWidth=(u==="c"||!!((this.width||"").match("%")));break}}}if(this.width&&this.ffTableWidthBug){var B=(this.style||"").replace(/;\s*$/,"").split(";");if(B[0]===""){B.shift()}B.push("width:"+this.width);this.style=B.join(";")}this.SUPER(arguments).toNativeMML.call(this,z);if(this.nMMLhasLabels){var r=z.firstChild;if(this.nMMLforceWidth||w!=="r"){var p=(u!=="l"?1:0)+(w==="l"?1:0);if(p){var t={columnalign:"left",columnwidth:"auto",columnspacing:"0px",columnlines:"none"};for(var o in t){if(t.hasOwnProperty(o)&&this[o]){var x=[t[o],t[o]].slice(2-p).join(" ")+" ";r.setAttribute(o,x+r.getAttribute(o))}}}}if(this.nMMLforceWidth||!this.nMMLlaMatch){r.setAttribute("width","100%")}}}});f.mtr.Augment({toNativeMML:function(v){this.SUPER(arguments).toNativeMML.call(this,v);var p=v.lastChild;if(l.tableSpacingBug){var r=this.parent.nMMLleftPadding,t=r.length;for(var w=p.firstChild,q=0;w;w=w.nextSibling,q++){a(w,this.nMMLtopPadding,r[q<t?q:t-1])}}if(l.tableLabelBug){var o=this.parent.nMMLforceWidth,u=this.parent.Get("side").charAt(0),s=c.config.displayAlign.charAt(0);if(this.parent.nMMLhasLabels&&p.firstChild){if(o||u!=="r"){j("Left",p.firstChild);if(s!=="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}if(u==="l"){p.insertBefore(this.NativeMMLelement("mtd"),p.firstChild).setAttribute("style","padding:0")}}if(o||u!=="l"){j("Right",p.lastChild)}}}}});f.mlabeledtr.Augment({toNativeMML:function(C){var t=this.NativeMMLelement("mtr");this.NativeMMLattributes(t);for(var u=1,s=this.data.length;u<s;u++){if(this.data[u]){this.data[u].toNativeMML(t)}else{t.appendChild(this.NativeMMLelement("mtd"))}}if(l.tableSpacingBug){var v=this.parent.nMMLleftPadding,y=v.length;u=0;for(var D=t.firstChild;D;D=D.nextSibling,u++){a(D,this.nMMLtopPadding,v[u<y?u:y-1])}}if(l.tableLabelBug&&this.data[0]){var z=this.parent.Get("side").charAt(0),x=c.config.displayAlign.charAt(0),q=c.config.displayIndent;this.data[0].toNativeMML(t);var A=t.lastChild,r=A;if(z===x){A.setAttribute("style","width:"+q);A.setAttribute("columnalign",c.config.displayAlign)}else{r=this.NativeMMLelement("mpadded");r.setAttribute("style","width:0");r.setAttribute("width","0px");r.appendChild(A.firstChild);A.appendChild(r)}j("",A);t.removeChild(A);var o=100,p=this.parent.nMMLforceWidth;if((this.parent.width||"").match(/%/)){o-=parseFloat(this.parent.width)}var B=o;if(p||z!=="r"){j("Left",t.firstChild);if(x!=="l"){if(x==="c"){B/=2}o-=B;t.insertBefore(this.NativeMMLelement("mtd"),t.firstChild).setAttribute("style","padding:0;width:"+B+"%")}if(z==="l"){t.insertBefore(A,t.firstChild)}}if(p||z!=="l"){j("Right",t.lastChild);if(x!=="r"){t.appendChild(this.NativeMMLelement("mtd")).setAttribute("style","padding:0;width:"+o+"%")}if(z==="r"){if(z!==x){r.setAttribute("lspace","-1width")}t.appendChild(A)}}}C.appendChild(t)}});f.mtd.Augment({toNativeMML:function(r){var p=r.appendChild(this.NativeMMLelement(this.type));this.NativeMMLattributes(p);if(l.mtdWidthBug){l.adjustWidths.push(p);p=p.appendChild(this.NativeMMLelement("mrow"))}for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p)}else{p.appendChild(this.NativeMMLelement("mrow"))}}}});f.mspace.Augment({toNativeMML:function(q){this.SUPER(arguments).toNativeMML.call(this,q);if(l.spaceWidthBug&&this.width){var r=q.lastChild;var p=r.getAttribute("width");var o=(r.getAttribute("style")||"").replace(/;?\s*/,"; ");r.setAttribute("style",o+"width:"+p)}}});f.mn.Augment({NativeMMLremapMinus:function(o){return o.replace(/^-/,"\u2212")},toNativeMML:function(s){var p=this.NativeMMLelement(this.type);this.NativeMMLattributes(p);var r=this.NativeMMLremapMinus;for(var q=0,o=this.data.length;q<o;q++){if(this.data[q]){this.data[q].toNativeMML(p,r);r=null}}s.appendChild(p)}});var n=g.fileURL(MathJax.OutputJax.fontDir+"/HTML-CSS/TeX/otf");l.Augment({config:{styles:{'[class="MJX-tex-oldstyle"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-oldstyle-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},'[class="MJX-tex-caligraphic"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB"},'[class="MJX-tex-caligraphic-bold"]':{"font-family":"MathJax_Caligraphic, MathJax_Caligraphic-WEB","font-weight":"bold"},"@font-face /*1*/":{"font-family":"MathJax_Caligraphic-WEB",src:"url('"+n+"/MathJax_Caligraphic-Regular.otf')"},"@font-face /*2*/":{"font-family":"MathJax_Caligraphic-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Caligraphic-Bold.otf')"}}}});if(!this.handlesVariants){l.Augment({config:{styles:{'[mathvariant="double-struck"]':{"font-family":"MathJax_AMS, MathJax_AMS-WEB"},'[mathvariant="script"]':{"font-family":"MathJax_Script, MathJax_Script-WEB"},'[mathvariant="fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB"},'[mathvariant="bold-script"]':{"font-family":"MathJax_Script, MathJax_Caligraphic-WEB","font-weight":"bold"},'[mathvariant="bold-fraktur"]':{"font-family":"MathJax_Fraktur, MathJax_Fraktur-WEB","font-weight":"bold"},'[mathvariant="monospace"]':{"font-family":"monospace"},'[mathvariant="sans-serif"]':{"font-family":"sans-serif"},'[mathvariant="bold-sans-serif"]':{"font-family":"sans-serif","font-weight":"bold"},'[mathvariant="sans-serif-italic"]':{"font-family":"sans-serif","font-style":"italic"},'[mathvariant="sans-serif-bold-italic"]':{"font-family":"sans-serif","font-style":"italic","font-weight":"bold"},"@font-face /*3*/":{"font-family":"MathJax_AMS-WEB",src:"url('"+n+"/MathJax_AMS-Regular.otf')"},"@font-face /*4*/":{"font-family":"MathJax_Script-WEB",src:"url('"+n+"/MathJax_Script-Regular.otf')"},"@font-face /*5*/":{"font-family":"MathJax_Fraktur-WEB",src:"url('"+n+"/MathJax_Fraktur-Regular.otf')"},"@font-face /*6*/":{"font-family":"MathJax_Fraktur-WEB","font-weight":"bold",src:"url('"+n+"/MathJax_Fraktur-Bold.otf')"}}}})}}f.math.Augment({toNativeMML:function(y,p){var A=this.NativeMMLelement(this.type),w=A;var u=(p?MathJax.InputJax[p.inputJax].annotationEncoding:null);var v,r;l.adjustWidths=[];A.setAttribute("xmlns",l.MMLnamespace);this.NativeMMLattributes(A);if(l.widthBug){A=A.appendChild(this.NativeMMLelement("mrow"))}if(u){A=A.appendChild(this.NativeMMLelement("semantics"));A.appendChild(this.NativeMMLelement("mrow"));var s=A.appendChild(this.NativeMMLelement("annotation"));s.appendChild(document.createTextNode(p.originalText));s.setAttribute("encoding",u);A=A.firstChild}for(v=0,r=this.data.length;v<r;v++){if(this.data[v]){this.data[v].toNativeMML(A)}else{A.appendChild(this.NativeMMLelement("mrow"))}}var t=((this.data[0]||{data:[]}).data[0]||{});if(t.nMMLhasLabels){if(t.nMMLforceWidth||!t.nMMLlaMatch){A.setAttribute("style","width:100%");if(u){A.parentNode.setAttribute("style","width:100%")}}if(t.nMMLlaMatch){if(y.parentNode.parentNode.nodeName.toLowerCase()==="div"){y.parentNode.parentNode.style.setProperty("margin-"+c.config.displayAlign,"0px","important")}}}var x=l.isFullWidth(w);if(x){y.style.width=y.parentNode.style.width="100%"}y.appendChild(w);if(l.widthBug&&!x){y.style.width=(w.firstChild.scrollWidth/l.ex/l.scale).toFixed(3)+"ex";if(p){p.NativeMML.scrollWidth=w.firstChild.scrollWidth}}if(l.adjustWidths.length){var z=[];for(v=0,r=l.adjustWidths.length;v<r;v++){A=l.adjustWidths[v];var o=A.getAttribute("style")||"";if(!o.match(/(^|;)\s*min-width:/)){var q=A.firstChild.scrollWidth;z.push(q);q=(q/l.ex).toFixed(3)+"ex";o=o.replace(/;?\s*$/,"; ");A.setAttribute("style",o+"min-width:"+q)}}if(!p){p=c.getJaxFor(y)}if(p){p.NativeMML.mtds=z}w.MathJaxMtds=l.adjustWidths;l.adjustWidths=[]}}});f.mfenced.Augment({toNativeMML:function(w){if(!l.mfencedBug){this.SUPER(arguments).toNativeMML.call(this,w);return}var t=c.Browser.isOpera;var u,p,r;var q=this.getValues("open","close","separators");q.open=q.open.replace(/^\s+/,"").replace(/\s+$/,"");q.close=q.close.replace(/^\s+/,"").replace(/\s+$/,"");q.separators=q.separators.replace(/\s+/g,"").split("");if(q.separators.length==0){q.separators=null}else{if(q.separators.length<this.data.length-1){var v=q.separators[q.separators.length-1];for(u=this.data.length-1-q.separators.length;u>0;u--){q.separators.push(v)}}}var o=this.NativeMMLelement(t?this.type:"mrow");this.NativeMMLattributes(o);o.removeAttribute("separators");if(t){o.setAttribute("open",q.open);o.setAttribute("close",q.close);if(this.data.length>1){w.appendChild(o);w=o;o=this.NativeMMLelement("mrow")}}else{o.removeAttribute("open");o.removeAttribute("close")}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.open;o.appendChild(r)}for(u=0,p=this.data.length;u<p;u++){if(q.separators&&u>0){r=this.NativeMMLelement("mo");r.setAttribute("separator","true");r.textContent=q.separators[u-1];o.appendChild(r)}if(this.data[u]){this.data[u].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}}if(!t){r=this.NativeMMLelement("mo");r.setAttribute("fence","true");r.textContent=q.close;o.appendChild(r)}w.appendChild(o)}});f.TeXAtom.Augment({toNativeMML:function(p){var o=this.NativeMMLelement("mrow");this.NativeMMLattributes(o);this.data[0].toNativeMML(o);p.appendChild(o)}});f.chars.Augment({toNativeMML:function(p,o){var q=this.toString();if(o){q=o(q)}p.appendChild(document.createTextNode(q))}});f.entity.Augment({toNativeMML:function(o){o.appendChild(document.createTextNode(this.toString()))}});f.xml.Augment({toNativeMML:function(q){for(var p=0,o=this.data.length;p<o;p++){q.appendChild(this.data[p].cloneNode(true))}}});f.mi.Augment({toNativeMML:function(p){this.SUPER(arguments).toNativeMML.call(this,p);if(l.miItalicBug){if(this.Get("mathvariant")===f.VARIANT.NORMAL){var o=p.lastChild;o.setAttribute("mathvariant",f.VARIANT.NORMAL)}}}});f.mo.Augment({toNativeMML:function(t){this.SUPER(arguments).toNativeMML.call(this,t);if(l.webkitMoSpacingBug){var o=0,s=0,v=this.parent;if(v&&v.type==="mrow"&&(v.inferred||!v.isEmbellished())){var q=this.getValues("lspace","rspace");o=q.lspace,s=q.rspace;if(l.NAMEDSPACE[o]){o=l.NAMEDSPACE[o]}if(l.NAMEDSPACE[s]){s=l.NAMEDSPACE[s]}}var u=t.lastChild;var r=e.Element("span");r.style.cssText=(u.getAttribute("style")||"");r.style.setProperty("-webkit-margin-start",o);r.style.setProperty("-webkit-margin-end",s);u.setAttribute("style",r.style.cssText)}}});f.mmultiscripts.Augment({toNativeMML:function(s){if(!l.mmultiscriptsBug||this.data.length===0){this.SUPER(arguments).toNativeMML.call(this,s);return}var q=this.NativeMMLelement("mrow");this.NativeMMLattributes(q);if(this.data[0]){this.data[0].toNativeMML(q)}else{q.appendChild(this.NativeMMLelement("mrow"))}var t=q.removeChild(q.lastChild);var p=this.data.length,r,o;for(r=1;r<p;r+=2){if(this.data[r].type==="mprescripts"){break}o=this.NativeMMLelement("msubsup");o.appendChild(t);if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}t=o}q.appendChild(t);for(r++;r<p;r+=2){o=this.NativeMMLelement("msubsup");o.appendChild(this.NativeMMLelement("mrow"));if(this.data[r]){this.data[r].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}if(r+1<p&&this.data[r+1]){this.data[r+1].toNativeMML(o)}else{o.appendChild(this.NativeMMLelement("mrow"))}q.insertBefore(o,t)}s.appendChild(q)}});c.Register.StartupHook("TeX mathchoice Ready",function(){f.TeXmathchoice.Augment({toNativeMML:function(o){this.Core().toNativeMML(o)}})});setTimeout(MathJax.Callback(["loadComplete",l,"jax.js"]),0)});c.Browser.Select({MSIE:function(m){var n=(document.documentMode||0);l.msieIE8HeightBug=(n===8)},Opera:function(m){l.stretchyMoBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miBug=true;l.mmultiscriptsBug=true},Firefox:function(m){var n=m.versionAtLeast("29.0");l.ffTableWidthBug=!m.versionAtLeast("13.0");l.forceReflow=!n;l.widthBug=!n;l.mtdWidthBug=true;l.handlesVariants=n;l.spaceWidthBug=!m.versionAtLeast("20.0");l.tableSpacingBug=!m.versionAtLeast("33.0");l.tableLabelBug=true;l.mfencedBug=true},Chrome:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true},Safari:function(m){l.tableSpacingBug=true;l.tableLabelBug=true;l.mfencedBug=true;l.miItalicBug=true;l.webkitMoSpacingBug=true;l.spaceWidthBug=true;l.mmultiscriptsBug=true}});c.Register.StartupHook("End Cookie",function(){if(c.config.menuSettings.zoom!=="None"){g.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.OutputJax.NativeMML,MathJax.Hub,MathJax.Ajax,MathJax.HTML);
 (function(j,b,d){var i,k=b.Browser.isMobile;var h=MathJax.Object.isArray;var e=function(){var m=[].slice.call(arguments,0);m[0][0]=["HTML-CSS",m[0][0]];return MathJax.Message.Set.apply(MathJax.Message,m)};var f=MathJax.Object.Subclass({timeout:(k?15:8)*1000,comparisonFont:["sans-serif","monospace","script","Times","Courier","Arial","Helvetica"],testSize:["40px","50px","60px","30px","20px"],FedoraSTIXcheck:{family:"STIXSizeOneSym",testString:"abcABC",noStyleChar:true},Init:function(){this.div=MathJax.HTML.addElement(document.body,"div",{style:{position:"absolute",width:0,height:0,overflow:"hidden",padding:0,border:0,margin:0}},[["div",{id:"MathJax_Font_Test",style:{position:"absolute",visibility:"hidden",top:0,left:0,width:"auto","min-width":0,"max-width":"none",padding:0,border:0,margin:0,whiteSpace:"nowrap",textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal",fontSize:this.testSize[0],fontWeight:"normal",fontStyle:"normal",fontSizeAdjust:"none"}},[""]]]).firstChild;this.text=this.div.firstChild},findFont:function(r,o){var q=null;if(o&&this.testCollection(o)){q=o}else{for(var p=0,n=r.length;p<n;p++){if(r[p]===o){continue}if(this.testCollection(r[p])){q=r[p];break}}}if(q==="STIX"&&this.testFont(this.FedoraSTIXcheck)){q=null}return q},testCollection:function(n){var m={testString:"() {} []"};m.family={TeX:"MathJax_Size1",STIX:"STIXSizeOneSym"}[n]||n.replace(/-(Math)?/,"")+"MathJax_Size1";if(n==="STIX"){m.noStyleChar=true}return this.testFont(m)},testFont:function(p){if(p.isWebFont&&d.FontFaceBug){this.div.style.fontWeight=this.div.style.fontStyle="normal"}else{this.div.style.fontWeight=(p.weight||"normal");this.div.style.fontStyle=(p.style||"normal")}var r=p.familyFixed||p.family;if(!p.isWebFont&&!r.match(/^(STIX|MathJax)|'/)){r=r.replace(/_/g," ").replace(/([a-z])([A-Z])/g,"$1 $2").replace(/ Jax/,"Jax")+"','"+r+"','"+r+"-";if(p.weight){r+="Bold"}if(p.style){r+="Italic"}if(!p.weight&&!p.style){r+="Regular"}p.familyFixed=r="'"+r+"'"}var o=this.getComparisonWidths(p.testString,p.noStyleChar);var s=null;if(o){this.div.style.fontFamily=r+","+this.comparisonFont[0];if(this.div.offsetWidth==o[0]){this.div.style.fontFamily=r+","+this.comparisonFont[o[2]];if(this.div.offsetWidth==o[1]){s=false}}if(s===null&&(this.div.offsetWidth!=o[3]||this.div.offsetHeight!=o[4])){if(!p.noStyleChar&&d.FONTDATA&&d.FONTDATA.hasStyleChar){for(var q=0,n=this.testSize.length;q<n;q++){if(this.testStyleChar(p,this.testSize[q])){s=true;n=0}}}else{s=true}}}if(d.safariTextNodeBug){this.div.innerHTML=""}else{this.text.nodeValue=""}return s},styleChar:"\uEFFD",versionChar:"\uEFFE",compChar:"\uEFFF",testStyleChar:function(p,r){var u=3+(p.weight?2:0)+(p.style?4:0);var o="",q=0;var t=this.div.style.fontSize;this.div.style.fontSize=r;if(d.msieItalicWidthBug&&p.style==="italic"){this.text.nodeValue=o=this.compChar;q=this.div.offsetWidth}if(d.safariTextNodeBug){this.div.innerHTML=this.compChar+o}else{this.text.nodeValue=this.compChar+o}var m=this.div.offsetWidth-q;if(d.safariTextNodeBug){this.div.innerHTML=this.styleChar+o}else{this.text.nodeValue=this.styleChar+o}var s=Math.floor((this.div.offsetWidth-q)/m+0.5);if(s===u){if(d.safariTextNodeBug){this.div.innerHTML=this.versionChar+o}else{this.text.nodeValue=this.versionChar+o}p.version=Math.floor((this.div.offsetWidth-q)/m+1.5)/2}this.div.style.fontSize=t;return(s===u)},getComparisonWidths:function(r,p){if(d.FONTDATA&&d.FONTDATA.hasStyleChar&&!p){r+=this.styleChar+" "+this.compChar}if(d.safariTextNodeBug){this.div.innerHTML=r}else{this.text.nodeValue=r}this.div.style.fontFamily=this.comparisonFont[0];var o=this.div.offsetWidth;this.div.style.fontFamily=d.webFontDefault;var t=this.div.offsetWidth,q=this.div.offsetHeight;for(var s=1,n=this.comparisonFont.length;s<n;s++){this.div.style.fontFamily=this.comparisonFont[s];if(this.div.offsetWidth!=o){return[o,this.div.offsetWidth,s,t,q]}}return null},loadWebFont:function(o){b.Startup.signal.Post("HTML-CSS Jax - Web-Font "+d.fontInUse+"/"+o.directory);var q=e(["LoadWebFont","Loading web-font %1",d.fontInUse+"/"+o.directory]);var m=MathJax.Callback({});var p=MathJax.Callback(["loadComplete",this,o,q,m]);j.timer.start(j,[this.checkWebFont,o,p],0,this.timeout);return m},loadComplete:function(p,r,o,m){MathJax.Message.Clear(r);if(m===j.STATUS.OK){this.webFontLoaded=true;o();return}this.loadError(p);if(b.Browser.isFirefox&&d.allowWebFonts){var q=document.location.protocol+"//"+document.location.hostname;if(document.location.port!=""){q+=":"+document.location.port}q+="/";if(j.fileURL(d.webfontDir).substr(0,q.length)!==q){this.firefoxFontError(p)}}if(!this.webFontLoaded){d.loadWebFontError(p,o)}else{o()}},loadError:function(m){e(["CantLoadWebFont","Can't load web font %1",d.fontInUse+"/"+m.directory],null,2000);b.Startup.signal.Post("HTML-CSS Jax - web font error for "+d.fontInUse+"/"+m.directory)},firefoxFontError:function(m){e(["FirefoxCantLoadWebFont","Firefox can't load web fonts from a remote host"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - Firefox web fonts on remote host error")},checkWebFont:function(m,n,o){if(m.time(o)){return}if(d.Font.testFont(n)){o(m.STATUS.OK)}else{setTimeout(m,m.delay)}},fontFace:function(q){var r=d.allowWebFonts;var t=d.FONTDATA.FONTS[q];if(d.msieFontCSSBug&&!t.family.match(/-Web$/)){t.family+="-Web"}if(t.isWebFont){delete t.familyFixed}var m=d.webfontDir+"/"+r;var p=j.fileURL(m);var o=q.replace(/-b/,"-B").replace(/-i/,"-I").replace(/-Bold-/,"-Bold");if(!o.match(/-/)){o+="-Regular"}if(r==="svg"){o+=".svg#"+o}else{o+="."+r}var n=j.fileRev(m+"/"+o.replace(/#.*/,""));var s={"font-family":t.family,src:"url('"+p+"/"+o+n+"')"};if(r==="otf"){o=o.replace(/otf$/,"woff");n=j.fileRev(m+"/"+o);s.src+=" format('opentype')";p=j.fileURL(d.webfontDir+"/woff");s.src="url('"+p+"/"+o+n+"') format('woff'), "+s.src}else{if(r!=="eot"){s.src+=" format('"+r+"')"}}if(!(d.FontFaceBug&&t.isWebFont)){if(q.match(/-bold/)){s["font-weight"]="bold"}if(q.match(/-italic/)){s["font-style"]="italic"}}return s}});var l,a,c;var g=MathJax.Hub.Browser.isMSIE&&(document.documentMode||0)<8;d.Augment({config:{styles:{".MathJax":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax:focus, body :focus .MathJax":{display:"inline-table"},".MathJax_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax.MathJax_FullWidth":{"text-align":"center",display:(g?"block":"table-cell")+"!important",width:(g?"100%":"10000em")+"!important"},".MathJax img, .MathJax nobr, .MathJax a":{border:0,padding:0,margin:0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,"vertical-align":0,"line-height":"normal","text-decoration":"none"},"img.MathJax_strut":{border:"0!important",padding:"0!important",margin:"0!important","vertical-align":"0!important"},".MathJax span":{display:"inline",position:"static",border:0,padding:0,margin:0,"vertical-align":0,"line-height":"normal","text-decoration":"none","box-sizing":"content-box"},".MathJax nobr":{"white-space":"nowrap!important"},".MathJax img":{display:"inline!important","float":"none!important"},".MathJax *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_Processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MathJax_Processed":{display:"none!important"},".MathJax_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_test.mjx-test-display":{display:(g?"block":"table")+"!important"},".MathJax_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".MathJax_em_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60em"},".mjx-test-inline .MathJax_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_right_box":{display:(g?"block":"table-cell")+"!important",width:(g?"100%":"10000em")+"!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},".MathJax .MathJax_HitBox":{cursor:"text",background:"white",opacity:0,filter:"alpha(opacity=0)"},".MathJax .MathJax_HitBox *":{filter:"none",opacity:1,background:"transparent"},"#MathJax_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"},"#MathJax_Tooltip *":{filter:"none",opacity:1,background:"transparent"},"@font-face":{"font-family":"MathJax_Blank",src:"url('about:blank')"}}},settings:b.config.menuSettings,Font:null,webFontDefault:"MathJax_Blank",allowWebFonts:"otf",maxStretchyParts:1000,fontName:{TeXLocal:"TeX",TeXWeb:["","TeX"],TeXImage:["",""],STIXLocal:["STIX","STIX-Web"],STIXWeb:"STIX-Web",AsanaMathWeb:"Asana-Math",GyrePagellaWeb:"Gyre-Pagella",GyreTermesWeb:"Gyre-Termes",LatinModernWeb:"Latin-Modern",NeoEulerWeb:"Neo-Euler"},fontInUse:"generic",FONTDATA:{TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,ffLineH:0.8,FONTS:{},VARIANT:{normal:{fonts:[]},"-generic-variant":{},"-largeOp":{},"-smallOp":{}},RANGES:[],DELIMITERS:{},RULECHAR:45,REMAP:{}},Config:function(){if(!this.require){this.require=[]}this.Font=f();this.SUPER(arguments).Config.call(this);var o=this.settings,n=this.config,m=o.font;if(this.adjustAvailableFonts){this.adjustAvailableFonts(n.availableFonts)}if(o.scale){n.scale=o.scale}if(m&&m!=="Auto"&&this.fontName[m]){n.availableFonts=[];delete n.fonts;if(h(this.fontName[m])){n.preferredFont=this.fontName[m][0];n.webFont=this.fontName[m][1]}else{n.preferredFont=n.webFont=this.fontName[m]}if(n.preferredFont){n.availableFonts[0]=n.preferredFont}}if(n.fonts){n.availableFonts=n.fonts;n.preferredFont=n.webFont=n.fonts[0];if(n.webFont==="STIX"){n.webFont+="-Web"}}m=this.Font.findFont(n.availableFonts,n.preferredFont);if(!m&&this.allowWebFonts){m=n.webFont;if(m){this.webFonts=true}}if(!m&&this.config.imageFont){m=n.imageFont;this.imgFonts=true}if(m){this.fontInUse=m;this.fontDir+="/"+m;this.webfontDir+="/"+m;this.require.push(this.fontDir+"/fontdata.js");if(this.imgFonts){this.require.push(this.directory+"/imageFonts.js");b.Startup.signal.Post("HTML-CSS Jax - using image fonts")}}else{e(["CantFindFontUsing","Can't find a valid font using %1","["+this.config.availableFonts.join(", ")+"]"],null,3000);b.Startup.signal.Post("HTML-CSS Jax - no valid font")}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){l=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;c=MathJax.Extension.MathEvents.Hover;this.ContextMenu=l.ContextMenu;this.Mousedown=l.AltContextMenu;this.Mouseover=c.Mouseover;this.Mouseout=c.Mouseout;this.Mousemove=c.Mousemove;this.hiddenDiv=this.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=this.addElement(this.hiddenDiv,"div",{id:"MathJax_Hidden"});var n=this.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.startMarker=this.createStrut(this.Element("span"),10,true);this.endMarker=this.addText(this.Element("span"),"x").parentNode;this.HDspan=this.Element("span");if(this.operaHeightBug){this.createStrut(this.HDspan,0)}if(this.msieInlineBlockAlignBug){this.HDimg=this.addElement(this.HDspan,"img",{style:{height:"0px",width:"1px"}});try{this.HDimg.src="about:blank"}catch(m){}}else{this.HDimg=this.createStrut(this.HDspan,0)}this.TestSpan=this.Element("span",{className:"MathJax_test"},[["span",{className:"MathJax_left_box"}],["span",{className:"MathJax_ex_box"}],["span",{className:"MathJax_em_box"}],["span",{className:"MathJax_right_box"}]]);return j.Styles(this.config.styles,["InitializeHTML",this])},removeSTIXfonts:function(p){for(var o=0,n=p.length;o<n;o++){if(p[o]==="STIX"){p.splice(o,1);n--;o--}}if(this.config.preferredFont==="STIX"){this.config.preferredFont=p[0]}},PreloadWebFonts:function(){if(!d.allowWebFonts||!d.config.preloadWebFonts){return}for(var o=0,n=d.config.preloadWebFonts.length;o<n;o++){var p=d.FONTDATA.FONTS[d.config.preloadWebFonts[o]];if(!p.available){d.Font.testFont(p)}}},InitializeHTML:function(){this.PreloadWebFonts();this.getDefaultExEm();if(this.defaultEm){return}var m=MathJax.Callback();j.timer.start(j,function(n){if(n.time(m)){b.signal.Post(["HTML-CSS Jax - no default em size"]);return}d.getDefaultExEm();if(d.defaultEm){m()}else{setTimeout(n,n.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return m},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var m=document.body.appendChild(this.TestSpan.cloneNode(true));m.className+=" mjx-test-inline mjx-test-default";this.defaultEx=m.childNodes[1].offsetHeight/60;this.defaultEm=m.childNodes[2].offsetHeight/60;this.defaultWidth=Math.max(0,m.lastChild.offsetLeft-m.firstChild.offsetLeft-2);document.body.removeChild(m)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,H,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_Display)?( MathJax_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.HTMLCSS={display:(p.root.Get("display")==="block")};C=u=this.Element("span",{className:"MathJax",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:l.Menu,onmousedown:l.Mousedown,onmouseover:l.Mouseover,onmouseout:l.Mouseout,onmousemove:l.Mousemove,onclick:l.Click,ondblclick:l.DblClick,onkeydown:l.Keydown,tabIndex:b.getTabOrder(p)});if(b.Browser.noContextMenu){C.ontouchstart=a.start;C.ontouchend=a.end}if(p.HTMLCSS.display){u=this.Element("div",{className:"MathJax_Display"});u.appendChild(C)}else{if(this.msieDisappearingBug){C.style.display="inline-block"}}u.className+=" MathJax_Processing";G.parentNode.insertBefore(u,G);p.HTMLCSS.span=C;p.HTMLCSS.div=u;E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.HTMLCSS.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;o=E.childNodes[2].offsetHeight/60;A=Math.max(0,p.HTMLCSS.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2);if(F===0||F==="NaN"){B.push(u);p.HTMLCSS.isHidden=true;F=this.defaultEx;o=this.defaultEm;A=this.defaultWidth}if(A===0&&!p.HTMLCSS.display){A=this.defaultWidth}if(t){v=A}H=(this.config.matchFontHeight?F/this.TeX.x_height/o:1);H=Math.floor(Math.max(this.config.minScaleAdjust/100,H)*this.config.scale);p.HTMLCSS.scale=H/100;p.HTMLCSS.fontSize=H+"%";p.HTMLCSS.em=p.HTMLCSS.outerEm=o;this.em=o*H/100;p.HTMLCSS.ex=F;p.HTMLCSS.cwidth=A/this.em;p.HTMLCSS.lineWidth=(q?this.length2em(x,1,v/this.em):1000000)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=r[D].MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.HTMLCSSeqn=s.HTMLCSSlast=0;s.HTMLCSSi=-1;s.HTMLCSSchunk=this.config.EqnChunk;s.HTMLCSSdelay=false},PHASE:{I:1,II:2,III:3},Translate:function(n,r){if(!n.parentNode){return}if(r.HTMLCSSdelay){r.HTMLCSSdelay=false;b.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var m=n.MathJax.elementJax,q=m.root,s=m.HTMLCSS.div,o=m.HTMLCSS.span;if(!document.getElementById(o.id)){return}this.getMetrics(m);if(this.scale!==1){o.style.fontSize=m.HTMLCSS.fontSize}this.initImg(o);this.initHTML(q,o);this.savePreview(n);try{q.setTeXclass();q.toHTML(o,s,this.PHASE.I)}catch(p){if(p.restart){while(o.firstChild){o.removeChild(o.firstChild)}}this.restorePreview(n);throw p}this.restorePreview(n);s.className=s.className.split(/ /)[0]+" MathJax_Processed";b.signal.Post(["New Math Pending",m.inputID]);r.HTMLCSSeqn+=(r.i-r.HTMLCSSi);r.HTMLCSSi=r.i;if(r.HTMLCSSeqn>=r.HTMLCSSlast+r.HTMLCSSchunk){this.postTranslate(r,true);r.HTMLCSSchunk=Math.floor(r.HTMLCSSchunk*this.config.EqnChunkFactor);r.HTMLCSSdelay=true}return false},savePreview:function(m){var n=m.MathJax.preview;if(n){m.MathJax.tmpPreview=document.createElement("span");n.parentNode.replaceChild(m.MathJax.tmpPreview,n)}},restorePreview:function(m){var n=m.MathJax.tmpPreview;if(n){n.parentNode.replaceChild(m.MathJax.preview,n);delete m.MathJax.tmpPreview}},getMetrics:function(m){var n=m.HTMLCSS;this.em=i.mbase.prototype.em=n.em*n.scale;this.outerEm=n.em;this.scale=n.scale;this.cwidth=n.cwidth;this.linebreakWidth=n.lineWidth},postTranslate:function(o,u){var r=o.jax[this.id],v,p,s,q;for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){var n=(v.MathJax.elementJax.HTMLCSS||{}).div;if(n){n.className=n.className.split(/ /)[0]}if(v.MathJax.preview){v.MathJax.preview.innerHTML=""}}}for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){p=v.MathJax.elementJax;this.getMetrics(p);if(p.HTMLCSS.span&&p.HTMLCSS.div){p.root.toHTML(p.HTMLCSS.span,p.HTMLCSS.div,this.PHASE.II)}}}for(s=o.HTMLCSSlast,q=o.HTMLCSSeqn;s<q;s++){v=r[s];if(v&&v.parentNode&&v.MathJax.elementJax){p=v.MathJax.elementJax;this.getMetrics(p);if(p.HTMLCSS.span&&p.HTMLCSS.div){p.root.toHTML(p.HTMLCSS.span,p.HTMLCSS.div,this.PHASE.III);if(p.HTMLCSS.isHidden){v.parentNode.insertBefore(p.HTMLCSS.div,v)}delete p.HTMLCSS.span;delete p.HTMLCSS.div;v.MathJax.state=p.STATE.PROCESSED;b.signal.Post(["New Math",v.MathJax.elementJax.inputID])}}}if(this.forceReflow){var t=(document.styleSheets||[])[0]||{};t.disabled=true;t.disabled=false}o.HTMLCSSlast=o.HTMLCSSeqn},getJaxFromMath:function(m){if(m.parentNode.className.match(/MathJax_Display/)){m=m.parentNode}do{m=m.nextSibling}while(m&&m.nodeName.toLowerCase()!=="script");return b.getJaxFor(m)},getHoverSpan:function(m,n){return m.root.HTMLspanElement()},getHoverBBox:function(m,p,q){var r=p.bbox,o=m.HTMLCSS.outerEm;var n={w:r.w*o,h:r.h*o,d:r.d*o};if(r.width){n.width=r.width}return n},Zoom:function(n,y,x,m,v){y.className="MathJax";y.style.fontSize=n.HTMLCSS.fontSize;var B=y.appendChild(this.TestSpan.cloneNode(true));var q=B.childNodes[2].offsetHeight/60;this.em=i.mbase.prototype.em=q;this.outerEm=q/n.HTMLCSS.scale;B.parentNode.removeChild(B);this.scale=n.HTMLCSS.scale;this.linebreakWidth=n.HTMLCSS.lineWidth;this.cwidth=n.HTMLCSS.cwidth;this.zoomScale=parseInt(b.config.menuSettings.zscale)/100;this.idPostfix="-zoom";n.root.toHTML(y,y);this.idPostfix="";this.zoomScale=1;var z=n.root.HTMLspanElement().bbox,p=z.width;if(p){if(z.tw){m=z.tw*q}if(z.w*q<m){m=z.w*q}y.style.width=Math.floor(m-1.5*d.em)+"px";y.style.display="inline-block";var o=(n.root.id||"MathJax-Span-"+n.root.spanID)+"-zoom";var r=document.getElementById(o).firstChild;while(r&&r.style.width!==p){r=r.nextSibling}if(r){var u=r.offsetWidth;r.style.width="100%";if(u>m){y.style.width=(u+100)+"px"}}}r=y.firstChild.firstChild.style;if(z.H!=null&&z.H>z.h){r.marginTop=d.Em(z.H-Math.max(z.h,d.FONTDATA.lineH))}if(z.D!=null&&z.D>z.d){r.marginBottom=d.Em(z.D-Math.max(z.d,d.FONTDATA.lineD))}if(z.lw<0){r.paddingLeft=d.Em(-z.lw)}if(z.rw>z.w){r.marginRight=d.Em(z.rw-z.w)}y.style.position="absolute";if(!p){x.style.position="absolute"}var w=y.offsetWidth,t=y.offsetHeight,A=x.offsetHeight,s=x.offsetWidth;y.style.position=x.style.position="";return{Y:-l.getBBox(y).h,mW:s,mH:A,zW:w,zH:t}},initImg:function(m){},initHTML:function(n,m){},initFont:function(m){var o=d.FONTDATA.FONTS,n=d.config.availableFonts;if(n&&n.length&&d.Font.testFont(o[m])){o[m].available=true;if(o[m].familyFixed){o[m].family=o[m].familyFixed;delete o[m].familyFixed}return null}if(!this.allowWebFonts){return null}o[m].isWebFont=true;if(d.FontFaceBug){o[m].family=m;if(d.msieFontCSSBug){o[m].family+="-Web"}}return j.Styles({"@font-face":this.Font.fontFace(m)})},Remove:function(m){var n=document.getElementById(m.inputID+"-Frame");if(n){if(m.HTMLCSS.display){n=n.parentNode}n.parentNode.removeChild(n)}delete m.HTMLCSS},getHD:function(n,o){if(n.bbox&&this.config.noReflows&&!o){return{h:n.bbox.h,d:n.bbox.d}}var m=n.style.position;n.style.position="absolute";this.HDimg.style.height="0px";n.appendChild(this.HDspan);var p={h:n.offsetHeight};this.HDimg.style.height=p.h+"px";p.d=n.offsetHeight-p.h;p.h-=p.d;p.h/=this.em;p.d/=this.em;n.removeChild(this.HDspan);n.style.position=m;return p},getW:function(q){var n,p,o=(q.bbox||{}).w,r=q;if(q.bbox&&this.config.noReflows&&q.bbox.exactW!==false){if(!q.bbox.exactW){if(q.style.paddingLeft){o+=this.unEm(q.style.paddingLeft)*(q.scale||1)}if(q.style.paddingRight){o+=this.unEm(q.style.paddingRight)*(q.scale||1)}}return o}if(q.bbox&&q.bbox.exactW){return o}if((q.bbox&&o>=0&&!this.initialSkipBug&&!this.msieItalicWidthBug)||this.negativeBBoxes||!q.firstChild){n=q.offsetWidth;p=q.parentNode.offsetHeight}else{if(q.bbox&&o<0&&this.msieNegativeBBoxBug){n=-q.offsetWidth,p=q.parentNode.offsetHeight}else{var m=q.style.position;q.style.position="absolute";r=this.startMarker;q.insertBefore(r,q.firstChild);q.appendChild(this.endMarker);n=this.endMarker.offsetLeft-r.offsetLeft;q.removeChild(this.endMarker);q.removeChild(r);q.style.position=m}}if(p!=null){q.parentNode.HH=p/this.em}return n/this.em},Measured:function(o,n){var p=o.bbox;if(p.width==null&&p.w&&!p.isMultiline){var m=this.getW(o);p.rw+=m-p.w;p.w=m;p.exactW=true}if(!n){n=o.parentNode}if(!n.bbox){n.bbox=p}return o},Remeasured:function(n,m){m.bbox=this.Measured(n,m).bbox},MeasureSpans:function(q){var t=[],v,s,p,w,n,r,o,u;for(s=0,p=q.length;s<p;s++){v=q[s];if(!v){continue}w=v.bbox;u=this.parentNode(v);if(w.exactW||w.width||w.w===0||w.isMultiline||(this.config.noReflows&&w.exactW!==false)){if(!u.bbox){u.bbox=w}continue}if(this.negativeBBoxes||!v.firstChild||(w.w>=0&&!this.initialSkipBug)||(w.w<0&&this.msieNegativeBBoxBug)){t.push([v])}else{if(this.initialSkipBug){n=this.startMarker.cloneNode(true);r=this.endMarker.cloneNode(true);v.insertBefore(n,v.firstChild);v.appendChild(r);t.push([v,n,r,v.style.position]);v.style.position="absolute"}else{r=this.endMarker.cloneNode(true);v.appendChild(r);t.push([v,null,r])}}}for(s=0,p=t.length;s<p;s++){v=t[s][0];w=v.bbox;u=this.parentNode(v);if((w.w>=0&&!this.initialSkipBug)||this.negativeBBoxes||!v.firstChild){o=v.offsetWidth;u.HH=u.offsetHeight/this.em}else{if(w.w<0&&this.msieNegativeBBoxBug){o=-v.offsetWidth,u.HH=u.offsetHeight/this.em}else{o=t[s][2].offsetLeft-((t[s][1]||{}).offsetLeft||0)}}o/=this.em;w.rw+=o-w.w;w.w=o;w.exactW=true;if(!u.bbox){u.bbox=w}}for(s=0,p=t.length;s<p;s++){v=t[s];if(v[1]){v[1].parentNode.removeChild(v[1]),v[0].style.position=v[3]}if(v[2]){v[2].parentNode.removeChild(v[2])}}},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},EmRounded:function(n){if(Math.abs(n)<0.0006){return"0em"}n=(Math.round(n*d.em)+0.05)/d.em;return n.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(n){return parseFloat(n)},Px:function(n){n*=this.em;var o=(n<0?"-":"");return o+Math.abs(n).toFixed(1).replace(/\.?0+$/,"")+"px"},unPx:function(n){return parseFloat(n)/this.em},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},length2em:function(t,o,r){if(typeof(t)!=="string"){t=t.toString()}if(t===""){return""}if(t===i.SIZE.NORMAL){return 1}if(t===i.SIZE.BIG){return 2}if(t===i.SIZE.SMALL){return 0.71}if(t==="infinity"){return d.BIGDIMEN}var q=this.FONTDATA.TeX_factor,u=(d.zoomScale||1)/d.em;if(t.match(/mathspace$/)){return d.MATHSPACE[t]*q}var p=t.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1"),s=p[2];if(r==null){r=1}if(o==null){o=1}if(s==="em"){return n*q}if(s==="ex"){return n*d.TeX.x_height*q}if(s==="%"){return n/100*r}if(s==="px"){return n*u}if(s==="pt"){return n/10*q}if(s==="pc"){return n*1.2*q}if(s==="in"){return n*this.pxPerInch*u}if(s==="cm"){return n*this.pxPerInch*u/2.54}if(s==="mm"){return n*this.pxPerInch*u/25.4}if(s==="mu"){return n/18*q*o}return n*r},thickness2em:function(n,m){var o=d.TeX.rule_thickness;if(n===i.LINETHICKNESS.MEDIUM){return o}if(n===i.LINETHICKNESS.THIN){return 0.67*o}if(n===i.LINETHICKNESS.THICK){return 1.67*o}return this.length2em(n,m,o)},border2em:function(n,m){if(n===i.LINETHICKNESS.THIN){n="1px"}if(n===i.LINETHICKNESS.MEDIUM){n="3px"}if(n===i.LINETHICKNESS.THICK){n="5px"}return this.length2em(n,m)},getPadding:function(n){var p={top:0,right:0,bottom:0,left:0},m=false;for(var q in p){if(p.hasOwnProperty(q)){var o=n.style["padding"+q.charAt(0).toUpperCase()+q.substr(1)];if(o){p[q]=this.length2em(o);m=true}}}return(m?p:false)},getBorders:function(r){var o={top:0,right:0,bottom:0,left:0},p={},n=false;for(var s in o){if(o.hasOwnProperty(s)){var m="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r.style[m+"Style"];if(q){n=true;o[s]=this.border2em(r.style[m+"Width"]||i.LINETHICKNESS.MEDIUM);p[m]=[r.style[m+"Width"],r.style[m+"Style"],r.style[m+"Color"]].join(" ")}}}o.css=p;return(n?o:false)},setBorders:function(m,n){if(n){for(var o in n.css){if(n.css.hasOwnProperty(o)){m.style[o]=n.css[o]}}}},createStrut:function(o,n,p){var m=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:n+"px",width:"1px",marginRight:"-1px"}});if(p){o.insertBefore(m,o.firstChild)}else{o.appendChild(m)}return m},createBlank:function(n,m,o){var p=this.Element("span",{isMathJax:true,style:{display:"inline-block",overflow:"hidden",height:"1px",width:this.Em(m)}});if(m<0){p.style.marginRight=p.style.width;p.style.width=0}if(o){n.insertBefore(p,n.firstChild)}else{n.appendChild(p)}return p},createShift:function(n,m,p){var o=this.Element("span",{style:{marginLeft:this.Em(m)},isMathJax:true});if(p){n.insertBefore(o,n.firstChild)}else{n.appendChild(o)}return o},createSpace:function(r,p,q,s,o,u){if(p<-q){q=-p}var t=this.Em(p+q),m=this.Em(-q);if(this.msieInlineBlockAlignBug){m=this.Em(d.getHD(r.parentNode,true).d-q)}if(r.isBox||u){var n=(r.scale==null?1:r.scale);r.bbox={exactW:true,h:p*n,d:q*n,w:s*n,rw:s*n,lw:0};r.style.height=t;r.style.verticalAlign=m;r.HH=(p+q)*n}else{r=this.addElement(r,"span",{style:{height:t,verticalAlign:m},isMathJax:true})}if(s>=0){r.style.width=this.Em(s);r.style.display="inline-block";r.style.overflow="hidden"}else{if(this.msieNegativeSpaceBug){r.style.height=""}r.style.marginLeft=this.Em(s);if(d.safariNegativeSpaceBug&&r.parentNode.firstChild==r){this.createBlank(r,0,true)}}if(o&&o!==i.COLOR.TRANSPARENT){r.style.backgroundColor=o;r.style.position="relative"}return r},createRule:function(t,p,r,u,n){if(p<-r){r=-p}var o=d.TeX.min_rule_thickness,q=1;if(u>0&&u*this.em<o){u=o/this.em}if(p+r>0&&(p+r)*this.em<o){q=1/(p+r)*(o/this.em);p*=q;r*=q}if(!n){n="solid"}else{n="solid "+n}var m={display:"inline-block",overflow:"hidden",verticalAlign:this.Em(-r)};if(u>p+r){m.borderTop=this.Px(p+r)+" "+n;m.width=this.Em(u);m.height=(this.msieRuleBug&&p+r>0?this.Em(p+r):0)}else{m.borderLeft=this.Px(u)+" "+n;m.width=(this.msieRuleBug&&u>0?this.Em(u):0);m.height=this.Em(p+r)}var s=this.addElement(t,"span",{style:m,noAdjust:true,HH:p+r,isMathJax:true,bbox:{h:p,d:r,w:u,rw:u,lw:0,exactW:true}});if(t.isBox||t.className=="mspace"){t.bbox=s.bbox,t.HH=p+r}return s},createFrame:function(v,s,u,x,z,n){if(s<-u){u=-s}var r=2*z;if(this.msieFrameSizeBug){if(x<r){x=r}if(s+u<r){s=r-u}}if(this.msieBorderWidthBug){r=0}var y=this.Em(s+u-r),m=this.Em(-u-z),q=this.Em(x-r);var o=this.Px(z)+" "+n;var p=this.addElement(v,"span",{style:{border:o,display:"inline-block",overflow:"hidden",width:q,height:y},bbox:{h:s,d:u,w:x,rw:x,lw:0,exactW:true},noAdjust:true,HH:s+u,isMathJax:true});if(m){p.style.verticalAlign=m}return p},parentNode:function(n){var m=n.parentNode;if(m.nodeName.toLowerCase()==="a"){m=m.parentNode}return m},createStack:function(o,q,n){if(this.msiePaddingWidthBug){this.createStrut(o,0)}var p=String(n).match(/%$/);var m=(!p&&n!=null?n:0);o=this.addElement(o,"span",{noAdjust:true,HH:0,isMathJax:true,style:{display:"inline-block",position:"relative",width:(p?"100%":this.Em(m)),height:0}});if(!q){o.parentNode.bbox=o.bbox={exactW:true,h:-this.BIGDIMEN,d:-this.BIGDIMEN,w:m,lw:this.BIGDIMEN,rw:(!p&&n!=null?n:-this.BIGDIMEN)};if(p){o.bbox.width=n}}return o},createBox:function(n,m){var o=this.addElement(n,"span",{style:{position:"absolute"},isBox:true,isMathJax:true});if(m!=null){o.style.width=m}return o},addBox:function(m,n){n.style.position="absolute";n.isBox=n.isMathJax=true;return m.appendChild(n)},placeBox:function(w,v,u,q){w.isMathJax=true;var z=d.parentNode(w),F=w.bbox,B=z.bbox;if(this.msiePlaceBoxBug){this.addText(w,this.NBSP)}if(this.imgSpaceBug){this.addText(w,this.imgSpace)}var A,I=0;if(w.HH!=null){A=w.HH}else{if(F){var o=w.firstChild;A=Math.max(3,3*(o?o.scale||1:1),F.h+F.d)}else{A=w.offsetHeight/this.em}}if(!w.noAdjust){A+=1;A=Math.round(A*this.em)/this.em;if(this.msieInlineBlockAlignBug){this.addElement(w,"img",{className:"MathJax_strut",border:0,src:"about:blank",isMathJax:true,style:{width:0,height:this.Em(A)}})}else{this.addElement(w,"span",{isMathJax:true,style:{display:"inline-block",width:0,height:this.Em(A)}});if(d.chromeHeightBug){A-=(w.lastChild.offsetHeight-Math.round(A*this.em))/this.em}}}if(F){if(this.initialSkipBug){if(F.lw<0){I=F.lw;d.createBlank(w,-I,true)}if(F.rw>F.w){d.createBlank(w,F.rw-F.w+0.1)}}if(!this.msieClipRectBug&&!F.noclip&&!q){var E=3/this.em;var C=(F.H==null?F.h:F.H),n=(F.D==null?F.d:F.D);var G=A-C-E,s=A+n+E,p=-1000,m=F.rw+1000;w.style.clip="rect("+this.Em(G)+" "+this.Em(m)+" "+this.Em(s)+" "+this.Em(p)+")"}}w.style.top=this.Em(-u-A);w.style.left=this.Em(v+I);if(F&&B){if(F.H!=null&&(B.H==null||F.H+u>B.H)){B.H=F.H+u}if(F.D!=null&&(B.D==null||F.D-u>B.D)){B.D=F.D-u}if(F.h+u>B.h){B.h=F.h+u}if(F.d-u>B.d){B.d=F.d-u}if(B.H!=null&&B.H<=B.h){delete B.H}if(B.D!=null&&B.D<=B.d){delete B.D}if(F.w+v>B.w){B.w=F.w+v;if(B.width==null){z.style.width=this.Em(B.w)}}if(F.rw+v>B.rw){B.rw=F.rw+v}if(F.lw+v<B.lw){B.lw=F.lw+v}if(F.width!=null&&!F.isFixed){if(B.width==null){z.style.width=B.width="100%";if(F.minWidth){z.style.minWidth=B.minWidth=F.minWidth}}w.style.width=F.width}if(F.tw){B.tw=F.tw}}},alignBox:function(t,p,s,x,w){if(x==null){x=0}this.placeBox(t,x,s);if(this.msiePlaceBoxBug){var n=t.lastChild;while(n&&n.nodeName!=="#text"){n=n.previousSibling}if(n){t.removeChild(n)}}var v=t.bbox;if(v.isMultiline&&!w){return}var u=v.width!=null&&!v.isFixed;var m=0,q=x-v.w/2,o="50%";if(this.initialSkipBug){m=v.w-v.rw-0.1;q+=v.lw}if(this.msieMarginScaleBug){q=(q*this.em)+"px"}else{q=this.Em(q)}if(u){q=(x===0?"":this.Em(x));o=(50-parseFloat(v.width)/2)+"%"}b.Insert(t.style,({right:{left:"",right:this.Em(m-x)},center:{left:o,marginLeft:q}})[p])},setStackWidth:function(n,m){if(typeof(m)==="number"){n.style.width=this.Em(Math.max(0,m));var o=n.bbox;if(o){o.w=m;o.exactW=true}o=n.parentNode.bbox;if(o){o.w=m;o.exactW=true}}else{n.style.width=n.parentNode.style.width="100%";if(n.bbox){n.bbox.width=m}if(n.parentNode.bbox){n.parentNode.bbox.width=m}}},createDelimiter:function(w,n,p,s,q){if(!n){w.bbox={h:0,d:0,w:this.TeX.nulldelimiterspace,lw:0};w.bbox.rw=w.bbox.w;this.createSpace(w,w.bbox.h,w.bbox.d,w.bbox.w);return}if(!s){s=1}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){b.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var u=0,r=o.HW.length;u<r;u++){if(o.HW[u][0]*s>=p-0.01||(u==r-1&&!o.stretch)){if(o.HW[u][2]){s*=o.HW[u][2]}if(o.HW[u][3]){n=o.HW[u][3]}var t=this.addElement(w,"span");this.createChar(t,[n,o.HW[u][1]],s,q);w.bbox=t.bbox;w.offset=0.65*w.bbox.w;w.scale=s;return}}if(o.stretch){this["extendDelimiter"+o.dir](w,v,o.stretch,s,q)}},extendDelimiterV:function(B,u,F,G,x){var p=this.createStack(B,true);var w=this.createBox(p),v=this.createBox(p);this.createChar(w,(F.top||F.ext),G,x);this.createChar(v,(F.bot||F.ext),G,x);var o={bbox:{w:0,lw:0,rw:0}},E=o,q;var C=w.bbox.h+w.bbox.d+v.bbox.h+v.bbox.d;var s=-w.bbox.h;this.placeBox(w,0,s,true);s-=w.bbox.d;if(F.mid){E=this.createBox(p);this.createChar(E,F.mid,G,x);C+=E.bbox.h+E.bbox.d}if(F.min&&u<C*F.min){u=C*F.min}if(u>C){o=this.Element("span");this.createChar(o,F.ext,G,x);var D=o.bbox.h+o.bbox.d,m=D-0.05,z,r,A=(F.mid?2:1);r=z=Math.min(Math.ceil((u-C)/(A*m)),this.maxStretchyParts);if(!F.fullExtenders){m=(u-C)/(A*z)}var t=(z/(z+1))*(D-m);m=D-t;s+=t+m-o.bbox.h;while(A-->0){while(z-->0){if(!this.msieCloneNodeBug){q=o.cloneNode(true)}else{q=this.Element("span");this.createChar(q,F.ext,G,x)}q.bbox=o.bbox;s-=m;this.placeBox(this.addBox(p,q),0,s,true)}s+=t-o.bbox.d;if(F.mid&&A){this.placeBox(E,0,s-E.bbox.h,true);z=r;s+=-(E.bbox.h+E.bbox.d)+t+m-o.bbox.h}}}else{s+=(C-u)/2;if(F.mid){this.placeBox(E,0,s-E.bbox.h,true);s+=-(E.bbox.h+E.bbox.d)}s+=(C-u)/2}this.placeBox(v,0,s-v.bbox.h,true);s-=v.bbox.h+v.bbox.d;B.bbox={w:Math.max(w.bbox.w,o.bbox.w,v.bbox.w,E.bbox.w),lw:Math.min(w.bbox.lw,o.bbox.lw,v.bbox.lw,E.bbox.lw),rw:Math.max(w.bbox.rw,o.bbox.rw,v.bbox.rw,E.bbox.rw),h:0,d:-s,exactW:true};B.scale=G;B.offset=0.55*B.bbox.w;B.isMultiChar=true;this.setStackWidth(p,B.bbox.w)},extendDelimiterH:function(C,p,F,H,z){var s=this.createStack(C,true);var q=this.createBox(s),D=this.createBox(s);this.createChar(q,(F.left||F.rep),H,z);this.createChar(D,(F.right||F.rep),H,z);var m=this.Element("span");this.createChar(m,F.rep,H,z);var E={bbox:{h:-this.BIGDIMEN,d:-this.BIGDIMEN}},o;this.placeBox(q,-q.bbox.lw,0,true);var v=(q.bbox.rw-q.bbox.lw)+(D.bbox.rw-D.bbox.lw)-0.05,u=q.bbox.rw-q.bbox.lw-0.025,y;if(F.mid){E=this.createBox(s);this.createChar(E,F.mid,H,z);v+=E.bbox.w}if(F.min&&p<v*F.min){p=v*F.min}if(p>v){var G=m.bbox.rw-m.bbox.lw,r=G-0.05,A,t,B=(F.mid?2:1);t=A=Math.min(Math.ceil((p-v)/(B*r)),this.maxStretchyParts);if(!F.fillExtenders){r=(p-v)/(B*A)}y=(A/(A+1))*(G-r);r=G-y;u-=m.bbox.lw+y;while(B-->0){while(A-->0){if(!this.cloneNodeBug){o=m.cloneNode(true)}else{o=this.Element("span");this.createChar(o,F.rep,H,z)}o.bbox=m.bbox;this.placeBox(this.addBox(s,o),u,0,true);u+=r}if(F.mid&&B){this.placeBox(E,u,0,true);u+=E.bbox.w-y;A=t}}}else{u-=(v-p)/2;if(F.mid){this.placeBox(E,u,0,true);u+=E.bbox.w}u-=(v-p)/2}u-=D.bbox.lw;this.placeBox(D,u,0,true);C.bbox={w:u+D.bbox.rw,lw:0,rw:u+D.bbox.rw,h:Math.max(q.bbox.h,m.bbox.h,D.bbox.h,E.bbox.h),d:Math.max(q.bbox.d,m.bbox.d,D.bbox.d,E.bbox.d),exactW:true};C.scale=H;C.isMultiChar=true;this.setStackWidth(s,C.bbox.w)},createChar:function(u,r,p,n){u.isMathJax=true;var t=u,v="",q={fonts:[r[1]],noRemap:true};if(n&&n===i.VARIANT.BOLD){q.fonts=[r[1]+"-bold",r[1]]}if(typeof(r[1])!=="string"){q=r[1]}if(r[0] instanceof Array){for(var s=0,o=r[0].length;s<o;s++){v+=String.fromCharCode(r[0][s])}}else{v=String.fromCharCode(r[0])}if(r[4]){p*=r[4]}if(p!==1||r[3]){t=this.addElement(u,"span",{style:{fontSize:this.Percent(p)},scale:p,isMathJax:true});this.handleVariant(t,q,v);u.bbox=t.bbox}else{this.handleVariant(u,q,v)}if(r[2]){u.style.marginLeft=this.Em(r[2])}if(r[3]){u.firstChild.style.verticalAlign=this.Em(r[3]);u.bbox.h+=r[3];if(u.bbox.h<0){u.bbox.h=0}}if(r[5]){u.bbox.h+=r[5]}if(r[6]){u.bbox.d+=r[6]}if(this.AccentBug&&u.bbox.w===0){t.firstChild.nodeValue+=this.NBSP}},positionDelimiter:function(n,m){m-=n.bbox.h;n.bbox.d-=m;n.bbox.h+=m;if(m){if(this.safariVerticalAlignBug||this.konquerorVerticalAlignBug||(this.operaVerticalAlignBug&&n.isMultiChar)){if(n.firstChild.style.display===""&&n.style.top!==""){n=n.firstChild;m-=d.unEm(n.style.top)}n.style.position="relative";n.style.top=this.Em(-m)}else{n.style.verticalAlign=this.Em(m);if(d.ffVerticalAlignBug){d.createRule(n.parentNode,n.bbox.h,0,0);delete n.parentNode.bbox}}}},handleVariant:function(B,q,t){var A="",y,D,u,E,o=B,p=!!B.style.fontFamily;if(t.length===0){return}if(!B.bbox){B.bbox={w:0,h:-this.BIGDIMEN,d:-this.BIGDIMEN,rw:-this.BIGDIMEN,lw:this.BIGDIMEN}}if(!q){q=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}E=q;for(var C=0,z=t.length;C<z;C++){q=E;y=t.charCodeAt(C);D=t.charAt(C);if(y>=55296&&y<56319){C++;y=(((y-55296)<<10)+(t.charCodeAt(C)-56320))+65536;if(this.FONTDATA.RemapPlane1){var F=this.FONTDATA.RemapPlane1(y,q);y=F.n;q=F.variant}}else{var v,s,w=this.FONTDATA.RANGES;for(v=0,s=w.length;v<s;v++){if(w[v].name==="alpha"&&q.noLowerCase){continue}var r=q["offset"+w[v].offset];if(r&&y>=w[v].low&&y<=w[v].high){if(w[v].remap&&w[v].remap[y]){y=r+w[v].remap[y]}else{if(w[v].remapOnly){break}y=y-w[v].low+r;if(w[v].add){y+=w[v].add}}if(q["variant"+w[v].offset]){q=this.FONTDATA.VARIANT[q["variant"+w[v].offset]]}break}}}if(q.remap&&q.remap[y]){y=q.remap[y];if(q.remap.variant){q=this.FONTDATA.VARIANT[q.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!q.noRemap){y=this.FONTDATA.REMAP[y]}}if(h(y)){q=this.FONTDATA.VARIANT[y[1]];y=y[0]}if(typeof(y)==="string"){t=y+t.substr(C+1);z=t.length;C=-1;continue}u=this.lookupChar(q,y);D=u[y];if(p||(!this.checkFont(u,o.style)&&!D[5].img)){if(A.length){this.addText(o,A);A=""}var x=!!o.style.fontFamily||!!B.style.fontStyle||!!B.style.fontWeight||!u.directory||p;p=false;if(o!==B){x=!this.checkFont(u,B.style);o=B}if(x){o=this.addElement(B,"span",{isMathJax:true,subSpan:true})}this.handleFont(o,u,o!==B)}A=this.handleChar(o,u,D,y,A);if(!(D[5]||{}).space){if(D[0]/1000>B.bbox.h){B.bbox.h=D[0]/1000}if(D[1]/1000>B.bbox.d){B.bbox.d=D[1]/1000}}if(B.bbox.w+D[3]/1000<B.bbox.lw){B.bbox.lw=B.bbox.w+D[3]/1000}if(B.bbox.w+D[4]/1000>B.bbox.rw){B.bbox.rw=B.bbox.w+D[4]/1000}B.bbox.w+=D[2]/1000;if((D[5]||{}).isUnknown){B.bbox.exactW=false}}if(A.length){this.addText(o,A)}if(B.scale&&B.scale!==1){B.bbox.h*=B.scale;B.bbox.d*=B.scale;B.bbox.w*=B.scale;B.bbox.lw*=B.scale;B.bbox.rw*=B.scale}if(d.isChar(t)&&u.skew&&u.skew[y]){B.bbox.skew=u.skew[y]}},checkFont:function(m,n){var o=(n.fontWeight||"normal");if(o.match(/^\d+$/)){o=(parseInt(o)>=600?"bold":"normal")}return(m.family.replace(/'/g,"")===n.fontFamily.replace(/'/g,"")&&(((m.style||"normal")===(n.fontStyle||"normal")&&(m.weight||"normal")===o)||(this.FontFaceBug&&n.fontFamily!=="")))},handleFont:function(o,m,q){o.style.fontFamily=m.family;if(!m.directory){o.style.fontSize=Math.floor(d.config.scale/d.scale+0.5)+"%"}if(!(d.FontFaceBug&&m.isWebFont)){var n=m.style||"normal",p=m.weight||"normal";if(n!=="normal"||q){o.style.fontStyle=n}if(p!=="normal"||q){o.style.fontWeight=p}}},handleChar:function(o,m,u,t,s){var r=u[5];if(r.space){if(s.length){this.addText(o,s)}d.createShift(o,u[2]/1000);return""}if(r.img){return this.handleImg(o,m,u,t,s)}if(r.isUnknown&&this.FONTDATA.DELIMITERS[t]){if(s.length){this.addText(o,s)}var q=o.scale;d.createDelimiter(o,t,0,1,m);if(this.FONTDATA.DELIMITERS[t].dir==="V"){o.style.verticalAlign=this.Em(o.bbox.d);o.bbox.h+=o.bbox.d;o.bbox.d=0}o.scale=q;u[0]=o.bbox.h*1000;u[1]=o.bbox.d*1000;u[2]=o.bbox.w*1000;u[3]=o.bbox.lw*1000;u[4]=o.bbox.rw*1000;return""}if(r.c==null){if(t<=65535){r.c=String.fromCharCode(t)}else{var p=t-65536;r.c=String.fromCharCode((p>>10)+55296)+String.fromCharCode((p&1023)+56320)}}if(d.ffFontOptimizationBug&&u[4]-u[2]>125){o.style.textRendering="optimizeLegibility"}if(r.rfix){this.addText(o,s+r.c);d.createShift(o,r.rfix/1000);return""}if(u[2]||(!this.msieAccentBug&&!this.combiningCharBug)||s.length){return s+r.c}if(this.combiningCharBug){d.addElement(o,"span",{style:{marginLeft:d.Em(u[3]/1000)}},[r.c]);return""}d.createShift(o,u[3]/1000);d.createShift(o,(u[4]-u[3])/1000);this.addText(o,r.c);d.createShift(o,-u[4]/1000);return""},handleImg:function(o,m,r,q,p){return p},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]]);t[s[q]].name=s[q]}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){if(p[u].length===5){p[u][5]={}}if(d.allowWebFonts&&!p.available){this.loadWebFont(p)}else{return p}}else{this.findBlock(p,u)}}return this.unknownChar(r,u)},unknownChar:function(m,p){var o=(m.defaultFont||{family:d.config.undefinedFamily});if(m.bold){o.weight="bold"}if(m.italic){o.style="italic"}if(!o[p]){o[p]=[800,200,500,0,500,{isUnknown:true}]}b.signal.Post(["HTML-CSS Jax - unknown char",p,m]);return o},isChar:function(m){if(m.length===1){return true}if(m.length!==2){return false}var o=m.charCodeAt(0);return(o>=55296&&o<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){var m=MathJax.Callback.Queue();m.Push(["Require",j,this.fontDir+"/"+n]);if(this.imgFonts){if(!MathJax.isPacked){n=n.replace(/\/([^\/]*)$/,d.imgPacked+"/$1")}m.Push(["Require",j,this.webfontDir+"/png/"+n])}b.RestartAfter(m.Push({}))},loadWebFont:function(m){m.available=m.isWebFont=true;if(d.FontFaceBug){m.family=m.name;if(d.msieFontCSSBug){m.family+="-Web"}}b.RestartAfter(this.Font.loadWebFont(m))},loadWebFontError:function(n,m){b.Startup.signal.Post("HTML-CSS Jax - disable web fonts");n.isWebFont=false;if(this.config.imageFont&&this.config.imageFont===this.fontInUse){this.imgFonts=true;b.Startup.signal.Post("HTML-CSS Jax - switch to image fonts");b.Startup.signal.Post("HTML-CSS Jax - using image fonts");e(["WebFontNotAvailable","Web-Fonts not available -- using image fonts instead"],null,3000);j.Require(this.directory+"/imageFonts.js",m)}else{this.allowWebFonts=false;m()}},Element:MathJax.HTML.Element,addElement:MathJax.HTML.addElement,TextNode:MathJax.HTML.TextNode,addText:MathJax.HTML.addText,ucMatch:MathJax.HTML.ucMatch,BIGDIMEN:10000000,ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:0.430554,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.6,big_op_spacing5:0.1,scriptspace:0.1,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},NBSP:"\u00A0",rfuzz:0});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.type!="mrow"){q=this.HTMLhandleSize(q)}for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q)}}var u=this.HTMLcomputeBBox(q);var p=q.bbox.h,t=q.bbox.d,r=false,s;for(o=0,n=u.length;o<n;o++){s=u[o].HTMLspanElement().bbox;if(u[o].forceStretch||s.h!==p||s.d!==t){u[o].HTMLstretchV(q,p,t);r=true}else{if(u[o].needsBBox){r=true}}}if(r){this.HTMLcomputeBBox(q,true)}if(this.HTMLlineBreaks(q)){q=this.HTMLmultiline(q)}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);if(this.data.length===1&&this.data[0]){s=this.data[0].HTMLspanElement().bbox;if(s.skew){q.bbox.skew=s.skew}}return q},HTMLlineBreaks:function(){return false},HTMLmultiline:function(){i.mbase.HTMLautoloadFile("multiline")},HTMLcomputeBBox:function(s,r,q,n){if(q==null){q=0}if(n==null){n=this.data.length}var p=s.bbox={exactW:true},t=[];while(q<n){var o=this.data[q];if(!o){continue}if(!r&&o.HTMLcanStretch("Vertical")){t.push(o);o=(o.CoreMO()||o);t[t.length-1].needsBBox=(o!==this.data[q])}this.HTMLcombineBBoxes(o,p);q++}this.HTMLcleanBBox(p);return t},HTMLcombineBBoxes:function(m,n){if(n.w==null){this.HTMLemptyBBox(n)}var p=(m.bbox?m:m.HTMLspanElement());if(!p||!p.bbox){return}var o=p.bbox;if(o.d>n.d){n.d=o.d}if(o.h>n.h){n.h=o.h}if(o.D!=null&&o.D>n.D){n.D=o.D}if(o.H!=null&&o.H>n.H){n.H=o.H}if(p.style.paddingLeft){n.w+=d.unEm(p.style.paddingLeft)*(p.scale||1)}if(n.w+o.lw<n.lw){n.lw=n.w+o.lw}if(n.w+o.rw>n.rw){n.rw=n.w+o.rw}n.w+=o.w;if(p.style.paddingRight){n.w+=d.unEm(p.style.paddingRight)*(p.scale||1)}if(o.width){n.width=o.width;n.minWidth=o.minWidth}if(o.tw){n.tw=o.tw}if(o.ic){n.ic=o.ic}else{delete n.ic}if(n.exactW&&!o.exactW){n.exactW=o.exactW}},HTMLemptyBBox:function(m){m.h=m.d=m.H=m.D=m.rw=-d.BIGDIMEN;m.w=0;m.lw=d.BIGDIMEN;return m},HTMLcleanBBox:function(m){if(m.h===this.BIGDIMEN){m.h=m.d=m.H=m.D=m.w=m.rw=m.lw=0}if(m.D<=m.d){delete m.D}if(m.H<=m.h){delete m.H}},HTMLzeroBBox:function(){return{h:0,d:0,w:0,lw:0,rw:0}},HTMLcanStretch:function(n){if(this.isEmbellished()){var m=this.Core();if(m&&m!==this){return m.HTMLcanStretch(n)}}return false},HTMLstretchH:function(n,m){return this.HTMLspanElement()},HTMLstretchV:function(n,m,o){return this.HTMLspanElement()},HTMLnotEmpty:function(m){while(m){if((m.type!=="mrow"&&m.type!=="texatom")||m.data.length>1){return true}m=m.data[0]}return false},HTMLmeasureChild:function(o,m){if(this.data[o]){d.Measured(this.data[o].toHTML(m),m)}else{m.bbox=this.HTMLzeroBBox()}},HTMLboxChild:function(o,m){if(!this.data[o]){this.SetData(o,i.mrow())}return this.data[o].toHTML(m)},HTMLcreateSpan:function(m){if(this.spanID){var n=this.HTMLspanElement();if(n&&(n.parentNode===m||(n.parentNode||{}).parentNode===m)){while(n.firstChild){n.removeChild(n.firstChild)}n.bbox=this.HTMLzeroBBox();n.scale=1;n.isMultChar=n.HH=null;n.style.cssText="";return n}}if(this.href){m=d.addElement(m,"a",{href:this.href,isMathJax:true})}m=d.addElement(m,"span",{className:this.type,isMathJax:true});if(d.imgHeightBug){m.style.display="inline-block"}if(this["class"]){m.className+=" "+this["class"]}if(!this.spanID){this.spanID=d.GetID()}m.id=(this.id||"MathJax-Span-"+this.spanID)+d.idPostfix;m.bbox=this.HTMLzeroBBox();this.styles={};if(this.style){m.style.cssText=this.style;if(m.style.fontSize){this.mathsize=m.style.fontSize;m.style.fontSize=""}this.styles={border:d.getBorders(m),padding:d.getPadding(m)};if(this.styles.border){m.style.border=""}if(this.styles.padding){m.style.padding=""}}if(this.href){m.parentNode.bbox=m.bbox}this.HTMLaddAttributes(m);return m},HTMLaddAttributes:function(p){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=b.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var o=0,n=u.length;o<n;o++){var s=u[o];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(p[s])==="undefined")){p.setAttribute(s,this.attr[s])}}}},HTMLspanElement:function(){if(!this.spanID){return null}return document.getElementById((this.id||"MathJax-Span-"+this.spanID)+d.idPostfix)},HTMLhandleVariant:function(n,m,o){d.handleVariant(n,m,o)},HTMLhandleSize:function(m){if(!m.scale){m.scale=this.HTMLgetScale();if(m.scale!==1){m.style.fontSize=d.Percent(m.scale)}}return m},HTMLhandleDir:function(n){var m=this.Get("dir",true);if(m){n.dir=m}return n},HTMLhandleColor:function(y){var A=this.getValues("mathcolor","color");if(this.mathbackground){A.mathbackground=this.mathbackground}if(this.background){A.background=this.background}if(this.style&&y.style.backgroundColor){A.mathbackground=y.style.backgroundColor;y.style.backgroundColor="transparent"}var v=(this.styles||{}).border,x=(this.styles||{}).padding;if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.background&&!this.mathbackground){A.mathbackground=A.background}if(A.mathcolor){y.style.color=A.mathcolor}if((A.mathbackground&&A.mathbackground!==i.COLOR.TRANSPARENT)||v||x){var C=y.bbox,B=(C.exact?0:1/d.em),w=0,u=0,o=y.style.paddingLeft,s=y.style.paddingRight;if(this.isToken){w=C.lw;u=C.rw-C.w}if(o!==""){w+=d.unEm(o)*(y.scale||1)}if(s!==""){u-=d.unEm(s)*(y.scale||1)}var n=(d.PaddingWidthBug||C.keepPadding||C.exactW?0:u-w);var q=Math.max(0,d.getW(y)+n);var z=C.h+C.d,m=-C.d,t=0,r=0;if(q>0){q+=2*B;w-=B}if(z>0){z+=2*B;m-=B}u=-q-w;if(v){u-=v.right;m-=v.bottom;t+=v.left;r+=v.right;C.h+=v.top;C.d+=v.bottom;C.w+=v.left+v.right;C.lw-=v.left;C.rw+=v.right}if(x){z+=x.top+x.bottom;q+=x.left+x.right;u-=x.right;m-=x.bottom;t+=x.left;r+=x.right;C.h+=x.top;C.d+=x.bottom;C.w+=x.left+x.right;C.lw-=x.left;C.rw+=x.right}if(r){y.style.paddingRight=d.Em(r)}var p=d.Element("span",{id:"MathJax-Color-"+this.spanID+d.idPostfix,isMathJax:true,style:{display:"inline-block",backgroundColor:A.mathbackground,width:d.Em(q),height:d.Em(z),verticalAlign:d.Em(m),marginLeft:d.Em(w),marginRight:d.Em(u)}});d.setBorders(p,v);if(C.width){p.style.width=C.width;p.style.marginRight="-"+C.width}if(d.msieInlineBlockAlignBug){p.style.position="relative";p.style.width=p.style.height=0;p.style.verticalAlign=p.style.marginLeft=p.style.marginRight="";p.style.border=p.style.padding="";if(v&&d.msieBorderWidthBug){z+=v.top+v.bottom;q+=v.left+v.right}p.style.width=d.Em(t+B);d.placeBox(d.addElement(p,"span",{noAdjust:true,isMathJax:true,style:{display:"inline-block",position:"absolute",overflow:"hidden",background:(A.mathbackground||"transparent"),width:d.Em(q),height:d.Em(z)}}),w,C.h+B);d.setBorders(p.firstChild,v)}y.parentNode.insertBefore(p,y);if(d.msieColorPositionBug){y.style.position="relative"}return p}return null},HTMLremoveColor:function(){var m=document.getElementById("MathJax-Color-"+this.spanID+d.idPostfix);if(m){m.parentNode.removeChild(m)}},HTMLhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var o=this.getValues("scriptlevel","lspace","rspace");if(o.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var n=this.HTMLgetMu(q);o.lspace=Math.max(0,d.length2em(o.lspace,n));o.rspace=Math.max(0,d.length2em(o.rspace,n));var m=this,p=this.Parent();while(p&&p.isEmbellished()&&p.Core()===m){m=p;p=p.Parent();q=m.HTMLspanElement()}if(o.lspace){q.style.paddingLeft=d.Em(o.lspace)}if(o.rspace){q.style.paddingRight=d.Em(o.rspace)}}}else{var r=this.texSpacing();if(r!==""){this.HTMLgetScale();r=d.length2em(r,this.scale)/(q.scale||1)*this.mscale;if(q.style.paddingLeft){r+=d.unEm(q.style.paddingLeft)}q.style.paddingLeft=d.Em(r)}}},HTMLgetScale:function(){if(this.scale){return this.scale*this.mscale}var o=1,m=this.getValues("scriptlevel","fontsize");m.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if(this.style){var n=this.HTMLspanElement();if(n.style.fontSize!=""){m.fontsize=n.style.fontSize}}if(m.fontsize&&!this.mathsize){m.mathsize=m.fontsize}if(m.scriptlevel!==0){if(m.scriptlevel>2){m.scriptlevel=2}o=Math.pow(this.Get("scriptsizemultiplier"),m.scriptlevel);m.scriptminsize=d.length2em(this.Get("scriptminsize"));if(o<m.scriptminsize){o=m.scriptminsize}}this.scale=o;this.mscale=d.length2em(m.mathsize);return o*this.mscale},HTMLgetMu:function(o){var m=1,n=this.getValues("scriptlevel","scriptsizemultiplier");if(o.scale&&o.scale!==1){m=1/o.scale}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}m=Math.sqrt(Math.pow(n.scriptsizemultiplier,n.scriptlevel))}return m},HTMLgetVariant:function(){var m=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");m.hasVariant=this.Get("mathvariant",true);if(!m.hasVariant){m.family=m.fontfamily;m.weight=m.fontweight;m.style=m.fontstyle}if(this.style){var o=this.HTMLspanElement();if(!m.family&&o.style.fontFamily){m.family=o.style.fontFamily}if(!m.weight&&o.style.fontWeight){m.weight=o.style.fontWeight}if(!m.style&&o.style.fontStyle){m.style=o.style.fontStyle}}if(m.weight&&m.weight.match(/^\d+$/)){m.weight=(parseInt(m.weight)>600?"bold":"normal")}var n=m.mathvariant;if(this.variantForm){n="-"+d.fontInUse+"-variant"}if(m.family&&!m.hasVariant){if(!m.weight&&m.mathvariant.match(/bold/)){m.weight="bold"}if(!m.style&&m.mathvariant.match(/italic/)){m.style="italic"}return{FONTS:[],fonts:[],noRemap:true,defaultFont:{family:m.family,style:m.style,weight:m.weight}}}if(m.weight==="bold"){n={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.weight==="normal"){n={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[n]||n}}if(m.style==="italic"){n={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[n]||n}else{if(m.style==="normal"){n={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[n]||n}}if(!(n in d.FONTDATA.VARIANT)){n="normal"}return d.FONTDATA.VARIANT[n]},HTMLdrawBBox:function(m){var o=m.bbox;var n=d.Element("span",{style:{"font-size":m.style.fontSize,display:"inline-block",opacity:0.25,"margin-left":d.Em(-o.w)}},[["span",{style:{height:d.Em(o.h),width:d.Em(o.w),"background-color":"red",display:"inline-block"}}],["span",{style:{height:d.Em(o.d),width:d.Em(o.w),"margin-left":d.Em(-o.w),"vertical-align":d.Em(-o.d),"background-color":"green",display:"inline-block"}}]]);if(m.nextSibling){m.parentNode.insertBefore(n,m.nextSibling)}else{m.parentNode.appendChild(n)}}},{HTMLautoload:function(){this.constructor.Augment({toHTML:i.mbase.HTMLautoloadFail});var m=d.autoloadDir+"/"+this.type+".js";b.RestartAfter(j.Require(m))},HTMLautoloadFail:function(){throw Error("HTML-CSS can't autoload '"+this.type+"'")},HTMLautoloadList:{},HTMLautoloadFile:function(m){if(i.mbase.HTMLautoloadList.hasOwnProperty(m)){throw Error("HTML-CSS can't autoload file '"+m+"'")}i.mbase.HTMLautoloadList[m]=true;var n=d.autoloadDir+"/"+m+".js";b.RestartAfter(j.Require(n))},HTMLstretchH:function(n,m){this.HTMLremoveColor();return this.toHTML(n,m)},HTMLstretchV:function(n,m,o){this.HTMLremoveColor();return this.toHTML(n,m,o)}});i.chars.Augment({toHTML:function(p,o,n,q){var t=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}p.bbox=null;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.entity.Augment({toHTML:function(p,o,n,q){var t=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){t=n(t,q)}if(o.fontInherit){var s=Math.floor(d.config.scale/d.scale+0.5)+"%";d.addElement(p,"span",{style:{"font-size":s}},[t]);if(o.bold){p.lastChild.style.fontWeight="bold"}if(o.italic){p.lastChild.style.fontStyle="italic"}delete p.bbox;var r=d.getHD(p),m=d.getW(p);p.bbox={h:r.h,d:r.d,w:m,lw:0,rw:m,exactW:true}}else{this.HTMLhandleVariant(p,o,t)}}});i.mi.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));q.bbox=null;var p=this.HTMLgetVariant();for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q,p)}}if(!q.bbox){q.bbox=this.HTMLzeroBBox()}var s=this.data.join(""),r=q.bbox;if(r.skew&&!d.isChar(s)){delete r.skew}if(r.rw>r.w&&d.isChar(s)&&!p.noIC){r.ic=r.rw-r.w;d.createBlank(q,r.ic/this.mscale);r.w=r.rw}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.mn.Augment({HTMLremapMinus:function(m){return m.replace(/^-/,"\u2212")},toHTML:function(r){r=this.HTMLhandleSize(this.HTMLcreateSpan(r));r.bbox=null;var q=this.HTMLgetVariant();var p=this.HTMLremapMinus;for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(r,q,p);p=null}}if(!r.bbox){r.bbox=this.HTMLzeroBBox()}if(!d.isChar(this.data.join(""))){delete r.bbox.skew}this.HTMLhandleSpace(r);this.HTMLhandleColor(r);this.HTMLhandleDir(r);return r}});i.mo.Augment({toHTML:function(x){x=this.HTMLhandleSize(this.HTMLcreateSpan(x));if(this.data.length==0){return x}else{x.bbox=null}var A=this.data.join("");var s=this.HTMLgetVariant();var z=this.getValues("largeop","displaystyle");if(z.largeop){s=d.FONTDATA.VARIANT[z.displaystyle?"-largeOp":"-smallOp"]}var y=this.CoreParent(),r=(y&&y.isa(i.msubsup)&&this!==y.data[y.base]),o=(r?this.remapChars:null);if(d.isChar(A)&&y&&y.isa(i.munderover)&&d.isChar(this.CoreText(y.data[y.base]))){var u=y.data[y.over],w=y.data[y.under];if(u&&this===u.CoreMO()&&y.Get("accent")){o=d.FONTDATA.REMAPACCENT}else{if(w&&this===w.CoreMO()&&y.Get("accentunder")){o=d.FONTDATA.REMAPACCENTUNDER}}}if(r&&A.match(/['`"\u00B4\u2032-\u2037\u2057]/)){s=d.FONTDATA.VARIANT["-"+d.fontInUse+"-variant"]}for(var t=0,q=this.data.length;t<q;t++){if(this.data[t]){this.data[t].toHTML(x,s,this.remap,o)}}if(!x.bbox){x.bbox=this.HTMLzeroBBox()}if(!d.isChar(A)){delete x.bbox.skew}if(d.AccentBug&&x.bbox.w===0&&d.isChar(A)&&x.firstChild){x.firstChild.nodeValue+=d.NBSP;d.createSpace(x,0,0,-x.offsetWidth/d.em)}if(z.largeop){var v=d.TeX.axis_height*this.scale*this.mscale;var n=(x.bbox.h-x.bbox.d)/2-v;if(d.safariVerticalAlignBug&&x.lastChild.nodeName==="IMG"){x.lastChild.style.verticalAlign=d.Em(d.unEm(x.lastChild.style.verticalAlign||0)/d.em-n/x.scale)}else{if(d.konquerorVerticalAlignBug&&x.lastChild.nodeName==="IMG"){x.style.position="relative";x.lastChild.style.position="relative";x.lastChild.style.top=d.Em(n/x.scale)}else{x.style.verticalAlign=d.Em(-n/x.scale)}}x.bbox.h-=n;x.bbox.d+=n;if(x.bbox.rw>x.bbox.w){x.bbox.ic=x.bbox.rw-x.bbox.w;d.createBlank(x,x.bbox.ic/this.mscale);x.bbox.w=x.bbox.rw}}this.HTMLhandleSpace(x);this.HTMLhandleColor(x);this.HTMLhandleDir(x);return x},HTMLcanStretch:function(q){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&d.isChar(this.CoreText(o.data[o.base]))){var p=o.data[o.over],n=o.data[o.under];if(p&&this===p.CoreMO()&&o.Get("accent")){r=d.FONTDATA.REMAPACCENT[r]||r}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=d.FONTDATA.REMAPACCENTUNDER[r]||r}}}r=d.FONTDATA.DELIMITERS[r.charCodeAt(0)];var m=(r&&r.dir===q.substr(0,1));this.forceStretch=(m&&(this.Get("minsize",true)||this.Get("maxsize",true)));return m},HTMLstretchV:function(o,p,q){this.HTMLremoveColor();var t=this.getValues("symmetric","maxsize","minsize");var r=this.HTMLspanElement(),u=this.HTMLgetMu(r),s;var n=this.HTMLgetScale(),m=d.TeX.axis_height*n;if(t.symmetric){s=2*Math.max(p-m,q+m)}else{s=p+q}t.maxsize=d.length2em(t.maxsize,u,r.bbox.h+r.bbox.d);t.minsize=d.length2em(t.minsize,u,r.bbox.h+r.bbox.d);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!=t.minsize){s=[Math.max(s*d.TeX.delimiterfactor/1000,s-d.TeX.delimitershortfall),s]}r=this.HTMLcreateSpan(o);d.createDelimiter(r,this.data.join("").charCodeAt(0),s,n);if(t.symmetric){s=(r.bbox.h+r.bbox.d)/2+m}else{s=(r.bbox.h+r.bbox.d)*p/(p+q)}d.positionDelimiter(r,s);this.HTMLhandleSpace(r);this.HTMLhandleColor(r);return r},HTMLstretchH:function(q,m){this.HTMLremoveColor();var o=this.getValues("maxsize","minsize","mathvariant","fontweight");if((o.fontweight==="bold"||parseInt(o.fontweight)>=600)&&!this.Get("mathvariant",true)){o.mathvariant=i.VARIANT.BOLD}var p=this.HTMLspanElement(),n=this.HTMLgetMu(p),r=p.scale;o.maxsize=d.length2em(o.maxsize,n,p.bbox.w);o.minsize=d.length2em(o.minsize,n,p.bbox.w);m=Math.max(o.minsize,Math.min(o.maxsize,m));p=this.HTMLcreateSpan(q);d.createDelimiter(p,this.data.join("").charCodeAt(0),m,r,o.mathvariant);this.HTMLhandleSpace(p);this.HTMLhandleColor(p);return p}});i.mtext.Augment({toHTML:function(q){q=this.HTMLhandleSize(this.HTMLcreateSpan(q));var p=this.HTMLgetVariant();if(d.config.mtextFontInherit||this.Parent().type==="merror"){var r=this.Get("mathvariant");if(r==="monospace"){q.className+=" MJX-monospace"}else{if(r.match(/sans-serif/)){q.className+=" MJX-sans-serif"}}p={bold:p.bold,italic:p.italic,fontInherit:true}}for(var o=0,n=this.data.length;o<n;o++){if(this.data[o]){this.data[o].toHTML(q,p)}}if(!q.bbox){q.bbox=this.HTMLzeroBBox()}if(!d.isChar(this.data.join(""))){delete q.bbox.skew}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);this.HTMLhandleDir(q);return q}});i.merror.Augment({toHTML:function(n){var p=MathJax.HTML.addElement(n,"span",{style:{display:"inline-block"}});n=this.SUPER(arguments).toHTML.call(this,p);var o=d.getHD(p),m=d.getW(p);p.bbox={h:o.h,d:o.d,w:m,lw:0,rw:m,exactW:true};p.id=n.id;n.id=null;return p}});i.ms.Augment({toHTML:i.mbase.HTMLautoload});i.mglyph.Augment({toHTML:i.mbase.HTMLautoload});i.mspace.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);var o=this.getValues("height","depth","width");var n=this.HTMLgetMu(q);this.HTMLgetScale();o.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){o.mathbackground=this.background}var p=d.length2em(o.height,n)*this.mscale,r=d.length2em(o.depth,n)*this.mscale,m=d.length2em(o.width,n)*this.mscale;d.createSpace(q,p,r,m,o.mathbackground,true);return q}});i.mphantom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){var r=this.data[0].toHTML(q);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(q,o,s),q)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(q,o),q)}else{r=d.Measured(r,q)}}q.bbox={w:r.bbox.w,h:r.bbox.h,d:r.bbox.d,lw:0,rw:0,exactW:true};for(var p=0,n=q.childNodes.length;p<n;p++){q.childNodes[p].style.visibility="hidden"}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mpadded.Augment({toHTML:function(u,o,m){u=this.HTMLcreateSpan(u);if(this.data[0]!=null){var s=d.createStack(u,true);var p=d.createBox(s);var n=this.data[0].toHTML(p);if(m!=null){d.Remeasured(this.data[0].HTMLstretchV(p,o,m),p)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(p,o),p)}else{d.Measured(n,p)}}var v=this.getValues("height","depth","width","lspace","voffset"),t=0,r=0,w=this.HTMLgetMu(u);this.HTMLgetScale();if(v.lspace){t=this.HTMLlength2em(p,v.lspace,w)}if(v.voffset){r=this.HTMLlength2em(p,v.voffset,w)}d.placeBox(p,t,r);t/=this.mscale;r/=this.mscale;u.bbox={h:p.bbox.h,d:p.bbox.d,w:p.bbox.w,exactW:true,lw:p.bbox.lw+t,rw:p.bbox.rw+t,H:Math.max((p.bbox.H==null?-d.BIGDIMEN:p.bbox.H+r),p.bbox.h+r),D:Math.max((p.bbox.D==null?-d.BIGDIMEN:p.bbox.D-r),p.bbox.d-r)};if(v.height!==""){u.bbox.h=this.HTMLlength2em(p,v.height,w,"h",0)}if(v.depth!==""){u.bbox.d=this.HTMLlength2em(p,v.depth,w,"d",0)}if(v.width!==""){u.bbox.w=this.HTMLlength2em(p,v.width,w,"w",0)}if(u.bbox.H<=u.bbox.h){delete u.bbox.H}if(u.bbox.D<=u.bbox.d){delete u.bbox.D}var q=/^\s*(\d+(\.\d*)?|\.\d+)\s*(pt|em|ex|mu|px|pc|in|mm|cm)\s*$/;u.bbox.exact=!!((this.data[0]&&this.data[0].data.length==0)||q.exec(v.height)||q.exec(v.width)||q.exec(v.depth));d.setStackWidth(s,u.bbox.w)}this.HTMLhandleSpace(u);this.HTMLhandleColor(u);return u},HTMLlength2em:function(s,t,o,u,n){if(n==null){n=-d.BIGDIMEN}var q=String(t).match(/width|height|depth/);var r=(q?s.bbox[q[0].charAt(0)]:(u?s.bbox[u]:0));var p=d.length2em(t,o,r/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,s.bbox[u]+p)}else{return p}},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mrow.Augment({HTMLlineBreaks:function(m){if(!this.parent.linebreakContainer){return false}return(d.config.linebreaks.automatic&&m.bbox.w>d.linebreakWidth)||this.hasNewline()},HTMLstretchH:function(o,m){this.HTMLremoveColor();var n=this.HTMLspanElement();this.data[this.core].HTMLstretchH(n,m);this.HTMLcomputeBBox(n,true);this.HTMLhandleColor(n);return n},HTMLstretchV:function(o,n,p){this.HTMLremoveColor();var m=this.HTMLspanElement();this.data[this.core].HTMLstretchV(m,n,p);this.HTMLcomputeBBox(m,true);this.HTMLhandleColor(m);return m}});i.mstyle.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);this.HTMLhandleColor(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mfrac.Augment({toHTML:function(F){F=this.HTMLcreateSpan(F);var o=d.createStack(F);var w=d.createBox(o),s=d.createBox(o);d.MeasureSpans([this.HTMLboxChild(0,w),this.HTMLboxChild(1,s)]);var m=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var K=this.HTMLgetScale(),E=m.displaystyle;var J=d.TeX.axis_height*K;if(m.bevelled){var I=(E?0.4:0.15);var x=Math.max(w.bbox.h+w.bbox.d,s.bbox.h+s.bbox.d)+2*I;var G=d.createBox(o);d.createDelimiter(G,47,x);d.placeBox(w,0,(w.bbox.d-w.bbox.h)/2+J+I);d.placeBox(G,w.bbox.w-I/2,(G.bbox.d-G.bbox.h)/2+J);d.placeBox(s,w.bbox.w+G.bbox.w-I,(s.bbox.d-s.bbox.h)/2+J-I)}else{var n=Math.max(w.bbox.w,s.bbox.w);var A=d.thickness2em(m.linethickness,this.scale)*this.mscale,C,B,z,y;var D=d.TeX.min_rule_thickness/this.em;if(E){z=d.TeX.num1;y=d.TeX.denom1}else{z=(A===0?d.TeX.num3:d.TeX.num2);y=d.TeX.denom2}z*=K;y*=K;if(A===0){C=Math.max((E?7:3)*d.TeX.rule_thickness,2*D);B=(z-w.bbox.d)-(s.bbox.h-y);if(B<C){z+=(C-B)/2;y+=(C-B)/2}}else{C=Math.max((E?2:0)*D+A,A/2+1.5*D);B=(z-w.bbox.d)-(J+A/2);if(B<C){z+=C-B}B=(J-A/2)-(s.bbox.h-y);if(B<C){y+=C-B}var r=d.createBox(o);d.createRule(r,A,0,n+2*A);d.placeBox(r,0,J-A/2)}d.alignBox(w,m.numalign,z,0,true);d.alignBox(s,m.denomalign,-y,0,true)}this.HTMLhandleSpace(F);this.HTMLhandleColor(F);return F},HTMLcanStretch:function(m){return false},HTMLhandleSpace:function(n){if(!this.texWithDelims){var o=d.TeX.nulldelimiterspace*this.mscale;var m=n.childNodes[d.msiePaddingWidthBug?1:0].style;m.marginLeft=m.marginRight=d.Em(o);n.bbox.w+=2*o;n.bbox.rw+=2*o}this.SUPER(arguments).HTMLhandleSpace.call(this,n)}});i.msqrt.Augment({toHTML:function(z){z=this.HTMLcreateSpan(z);var B=d.createStack(z);var r=d.createBox(B),w=d.createBox(B),v=d.createBox(B);var u=this.HTMLgetScale();var C=d.TeX.rule_thickness*u,o,n,A,s;if(this.Get("displaystyle")){o=d.TeX.x_height*u}else{o=C}n=Math.max(C+o/4,1.5*d.TeX.min_rule_thickness/this.em);var m=this.HTMLboxChild(0,r);A=m.bbox.h+m.bbox.d+n+C;d.createDelimiter(v,8730,A,u);d.MeasureSpans([m,v]);s=m.bbox.w;var y=0;if(v.isMultiChar||(d.AdjustSurd&&d.imgFonts)){v.bbox.w*=0.95}if(v.bbox.h+v.bbox.d>A){n=((v.bbox.h+v.bbox.d)-(A-C))/2}var D=d.FONTDATA.DELIMITERS[d.FONTDATA.RULECHAR];if(!D||s<(D.HW[0]||[0])[0]*u||u<0.75){d.createRule(w,0,C,s);w.bbox.h=-C}else{d.createDelimiter(w,d.FONTDATA.RULECHAR,s,u)}A=m.bbox.h+n+C;n=A*d.rfuzz;if(v.isMultiChar){n=d.rfuzz}y=this.HTMLaddRoot(B,v,y,v.bbox.h+v.bbox.d-A,u);d.placeBox(v,y,A-v.bbox.h);d.placeBox(w,y+v.bbox.w,A-w.bbox.h+n);d.placeBox(r,y+v.bbox.w,0);this.HTMLhandleSpace(z);this.HTMLhandleColor(z);return z},HTMLaddRoot:function(o,n,m,q,p){return m}});i.mroot.Augment({toHTML:i.msqrt.prototype.toHTML,HTMLaddRoot:function(u,n,s,q,m){var o=d.createBox(u);if(this.data[1]){var r=this.data[1].toHTML(o);r.style.paddingRight=r.style.paddingLeft="";d.Measured(r,o)}else{o.bbox=this.HTMLzeroBBox()}var p=this.HTMLrootHeight(n.bbox.h+n.bbox.d,m,o)-q;var t=Math.min(o.bbox.w,o.bbox.rw);s=Math.max(t,n.offset);d.placeBox(o,s-t,p);return s-n.offset},HTMLrootHeight:function(o,n,m){return 0.45*(o-0.9*n)+0.6*n+Math.max(0,m.bbox.d-0.075)}});i.mfenced.Augment({toHTML:function(q){q=this.HTMLcreateSpan(q);if(this.data.open){this.data.open.toHTML(q)}if(this.data[0]!=null){this.data[0].toHTML(q)}for(var o=1,n=this.data.length;o<n;o++){if(this.data[o]){if(this.data["sep"+o]){this.data["sep"+o].toHTML(q)}this.data[o].toHTML(q)}}if(this.data.close){this.data.close.toHTML(q)}var s=this.HTMLcomputeBBox(q);var p=q.bbox.h,r=q.bbox.d;for(o=0,n=s.length;o<n;o++){s[o].HTMLstretchV(q,p,r)}if(s.length){this.HTMLcomputeBBox(q,true)}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLcomputeBBox:function(r,q){var o=r.bbox={},s=[];this.HTMLcheckStretchy(this.data.open,o,s,q);this.HTMLcheckStretchy(this.data[0],o,s,q);for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){this.HTMLcheckStretchy(this.data["sep"+p],o,s,q);this.HTMLcheckStretchy(this.data[p],o,s,q)}}this.HTMLcheckStretchy(this.data.close,o,s,q);this.HTMLcleanBBox(o);return s},HTMLcheckStretchy:function(m,n,p,o){if(m){if(!o&&m.HTMLcanStretch("Vertical")){p.push(m);m=(m.CoreMO()||m)}this.HTMLcombineBBoxes(m,n)}}});i.menclose.Augment({toHTML:i.mbase.HTMLautoload});i.maction.Augment({toHTML:i.mbase.HTMLautoload});i.semantics.Augment({toHTML:function(n,m,o){n=this.HTMLcreateSpan(n);if(this.data[0]!=null){var p=this.data[0].toHTML(n);if(o!=null){this.data[0].HTMLstretchV(n,m,o)}else{if(m!=null){this.data[0].HTMLstretchH(n,m)}}n.bbox=p.bbox}this.HTMLhandleSpace(n);return n},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.munderover.Augment({toHTML:function(M,I,G){var n=this.getValues("displaystyle","accent","accentunder","align");var q=this.data[this.base];if(!n.displaystyle&&q!=null&&(q.movablelimits||q.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toHTML.call(this,M)}M=this.HTMLcreateSpan(M);var Q=this.HTMLgetScale();var r=d.createStack(M);var s=[],p=[],O=[],z,N,J;for(N=0,J=this.data.length;N<J;N++){if(this.data[N]!=null){z=s[N]=d.createBox(r);p[N]=this.data[N].toHTML(z);if(N==this.base){if(G!=null){this.data[this.base].HTMLstretchV(z,I,G)}else{if(I!=null){this.data[this.base].HTMLstretchH(z,I)}}O[N]=(G==null&&I!=null?false:this.data[N].HTMLcanStretch("Horizontal"));if(this.data[this.over]&&n.accent){p[N].bbox.h=Math.max(p[N].bbox.h,Q*d.TeX.x_height)}}else{O[N]=this.data[N].HTMLcanStretch("Horizontal");p[N].style.paddingLeft=p[N].style.paddingRight=""}}}d.MeasureSpans(p);var o=-d.BIGDIMEN,L=o;for(N=0,J=this.data.length;N<J;N++){if(this.data[N]){if(s[N].bbox.w>L){L=s[N].bbox.w}if(!O[N]&&L>o){o=L}}}if(G==null&&I!=null){o=I}else{if(o==-d.BIGDIMEN){o=L}}for(N=L=0,J=this.data.length;N<J;N++){if(this.data[N]){z=s[N];if(O[N]){z.bbox=this.data[N].HTMLstretchH(z,o).bbox;if(N!==this.base){p[N].style.paddingLeft=p[N].style.paddingRight=""}}if(z.bbox.w>L){L=z.bbox.w}}}var F=d.TeX.rule_thickness*this.mscale,H=d.FONTDATA.TeX_factor;var w,u,B,A,v,E,K,P=0;q=s[this.base]||{bbox:this.HTMLzeroBBox()};if(q.bbox.ic){P=1.3*q.bbox.ic+0.05}for(N=0,J=this.data.length;N<J;N++){if(this.data[N]!=null){z=s[N];v=d.TeX.big_op_spacing5*Q;var C=(N!=this.base&&n[this.ACCENTS[N]]);if(C&&z.bbox.w<=1/d.em+0.0001){z.bbox.w=z.bbox.rw-z.bbox.lw;z.bbox.noclip=true;if(z.bbox.lw){z.insertBefore(d.createSpace(z.parentNode,0,0,-z.bbox.lw),z.firstChild)}d.createBlank(z,0,0,z.bbox.rw+0.1)}E={left:0,center:(L-z.bbox.w)/2,right:L-z.bbox.w}[n.align];w=E;u=0;if(N==this.over){if(C){K=Math.max(F*Q*H,2.5/this.em);v=0;if(q.bbox.skew){w+=q.bbox.skew;M.bbox.skew=q.bbox.skew;if(w+z.bbox.w>L){M.bbox.skew+=(L-z.bbox.w-w)/2}}}else{B=d.TeX.big_op_spacing1*Q*H;A=d.TeX.big_op_spacing3*Q*H;K=Math.max(B,A-Math.max(0,z.bbox.d))}K=Math.max(K,1.5/this.em);w+=P/2;u=q.bbox.h+z.bbox.d+K;z.bbox.h+=v}else{if(N==this.under){if(C){K=3*F*Q*H;v=0}else{B=d.TeX.big_op_spacing2*Q*H;A=d.TeX.big_op_spacing4*Q*H;K=Math.max(B,A-z.bbox.h)}K=Math.max(K,1.5/this.em);w-=P/2;u=-(q.bbox.d+z.bbox.h+K);z.bbox.d+=v}}d.placeBox(z,w,u)}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.msubsup.Augment({toHTML:function(M,K,F){M=this.HTMLcreateSpan(M);var P=this.HTMLgetScale(),J=this.HTMLgetMu(M);var y=d.createStack(M),n,w=[];var x=d.createBox(y);if(this.data[this.base]){w.push(this.data[this.base].toHTML(x));if(F!=null){this.data[this.base].HTMLstretchV(x,K,F)}else{if(K!=null){this.data[this.base].HTMLstretchH(x,K)}}}else{x.bbox=this.HTMLzeroBBox()}var N=d.TeX.x_height*P,E=d.TeX.scriptspace*P*0.75;var m,z;if(this.HTMLnotEmpty(this.data[this.sup])){m=d.createBox(y);w.push(this.data[this.sup].toHTML(m))}if(this.HTMLnotEmpty(this.data[this.sub])){z=d.createBox(y);w.push(this.data[this.sub].toHTML(z))}d.MeasureSpans(w);if(m){m.bbox.w+=E;m.bbox.rw=Math.max(m.bbox.w,m.bbox.rw)}if(z){z.bbox.w+=E;z.bbox.rw=Math.max(z.bbox.w,z.bbox.rw)}d.placeBox(x,0,0);var o=P;if(m){o=this.data[this.sup].HTMLgetScale()}else{if(z){o=this.data[this.sub].HTMLgetScale()}}var H=d.TeX.sup_drop*o,G=d.TeX.sub_drop*o;var B=x.bbox.h-H,A=x.bbox.d+G,O=0,I;if(x.bbox.ic){x.bbox.w-=x.bbox.ic;O=1.3*x.bbox.ic+0.05}if(this.data[this.base]&&K==null&&F==null&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(d.isChar(this.data[this.base].data.join(""))&&w[0].scale===1&&!this.data[this.base].Get("largeop")){B=A=0}}var L=this.getValues("subscriptshift","superscriptshift");L.subscriptshift=(L.subscriptshift===""?0:d.length2em(L.subscriptshift,J));L.superscriptshift=(L.superscriptshift===""?0:d.length2em(L.superscriptshift,J));if(!m){if(z){A=Math.max(A,d.TeX.sub1*P,z.bbox.h-(4/5)*N,L.subscriptshift);d.placeBox(z,x.bbox.w,-A,z.bbox)}}else{if(!z){n=this.getValues("displaystyle","texprimestyle");I=d.TeX[(n.displaystyle?"sup1":(n.texprimestyle?"sup3":"sup2"))];B=Math.max(B,I*P,m.bbox.d+(1/4)*N,L.superscriptshift);d.placeBox(m,x.bbox.w+O,B,m.bbox)}else{A=Math.max(A,d.TeX.sub2*P);var C=d.TeX.rule_thickness*P;if((B-m.bbox.d)-(z.bbox.h-A)<3*C){A=3*C-B+m.bbox.d+z.bbox.h;H=(4/5)*N-(B-m.bbox.d);if(H>0){B+=H;A-=H}}d.placeBox(m,x.bbox.w+O,Math.max(B,L.superscriptshift));d.placeBox(z,x.bbox.w,-Math.max(A,L.subscriptshift))}}this.HTMLhandleSpace(M);this.HTMLhandleColor(M);return M},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});i.mmultiscripts.Augment({toHTML:i.mbase.HTMLautoload});i.mtable.Augment({toHTML:i.mbase.HTMLautoload});i["annotation-xml"].Augment({toHTML:i.mbase.HTMLautoload});i.annotation.Augment({toHTML:function(m){return this.HTMLcreateSpan(m)}});i.math.Augment({toHTML:function(E,B,t){var u,w,x,r,m=E;if(!t||t===d.PHASE.I){var C=d.addElement(E,"nobr",{isMathJax:true});E=this.HTMLcreateSpan(C);var n=this.Get("alttext");if(n&&!E.getAttribute("aria-label")){E.setAttribute("aria-label",n)}u=d.createStack(E);w=d.createBox(u);u.style.fontSize=C.parentNode.style.fontSize;C.parentNode.style.fontSize="";if(this.data[0]!=null){i.mbase.prototype.displayAlign=b.config.displayAlign;i.mbase.prototype.displayIndent=b.config.displayIndent;if(String(b.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}x=this.data[0].toHTML(w);x.bbox.exactW=false}}else{E=E.firstChild.firstChild;if(this.href){E=E.firstChild}u=E.firstChild;if(u.style.position!=="relative"){u=u.nextSibling}w=u.firstChild;x=w.firstChild}r=((!t||t===d.PHASE.II)?d.Measured(x,w):x);if(!t||t===d.PHASE.III){d.placeBox(w,0,0);var q=r.bbox.w;q=Math.abs(q)<0.006?0:Math.max(0,Math.round(q*this.em)+0.25);E.style.width=d.EmRounded(q/d.outerEm);E.style.display="inline-block";var A=1/d.em,G=d.em/d.outerEm;d.em/=G;E.bbox.h*=G;E.bbox.d*=G;E.bbox.w*=G;E.bbox.lw*=G;E.bbox.rw*=G;if(E.bbox.H){E.bbox.H*=G}if(E.bbox.D){E.bbox.D*=G}if(r&&r.bbox.width!=null){E.style.minWidth=(r.bbox.minWidth||E.style.width);E.style.width=r.bbox.width;w.style.width=u.style.width="100%";m.className+=" MathJax_FullWidth"}var D=this.HTMLhandleColor(E);if(r){d.createRule(E,(r.bbox.h+A)*G,(r.bbox.d+A)*G,0)}if(!this.isMultiline&&this.Get("display")==="block"&&E.bbox.width==null){var o=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(o.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){o.indentalign=o.indentalignfirst}if(o.indentalign===i.INDENTALIGN.AUTO){o.indentalign=this.displayAlign}if(o.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){o.indentshift=o.indentshiftfirst}if(o.indentshift==="auto"){o.indentshift="0"}var F=d.length2em(o.indentshift,1,d.scale*d.cwidth);if(this.displayIndent!=="0"){var y=d.length2em(this.displayIndent,1,d.scale*d.cwidth);F+=(o.indentalign===i.INDENTALIGN.RIGHT?-y:y)}m.style.textAlign=B.style.textAlign=o.indentalign;if(F){b.Insert(E.style,({left:{marginLeft:d.Em(F)},right:{marginRight:d.Em(-F)},center:{marginLeft:d.Em(F),marginRight:d.Em(-F)}})[o.indentalign]);if(D){var v=parseFloat(D.style.marginLeft||"0")+F,s=parseFloat(D.style.marginRight||"0")-F;D.style.marginLeft=d.Em(v);D.style.marginRight=d.Em(s+(o.indentalign==="right"?E.bbox.w+F-E.bbox.w:0));if(d.msieColorBug&&o.indentalign==="right"){if(parseFloat(D.style.marginLeft)>0){var z=MathJax.HTML.addElement(D.parentNode,"span");z.style.marginLeft=d.Em(s+Math.min(0,E.bbox.w+F));D.nextSibling.style.marginRight="0em"}D.nextSibling.style.marginLeft="0em";D.style.marginRight=D.style.marginLeft="0em"}}}}}return E},HTMLspanElement:i.mbase.prototype.HTMLspanElement});i.TeXAtom.Augment({toHTML:function(q,o,s){q=this.HTMLcreateSpan(q);if(this.data[0]!=null){if(this.texClass===i.TEXCLASS.VCENTER){var m=d.createStack(q);var r=d.createBox(m);var t=this.data[0].toHTML(r);if(s!=null){d.Remeasured(this.data[0].HTMLstretchV(r,o,s),r)}else{if(o!=null){d.Remeasured(this.data[0].HTMLstretchH(r,o),r)}else{d.Measured(t,r)}}var n=d.TeX.axis_height*this.HTMLgetScale();d.placeBox(r,0,n-(r.bbox.h+r.bbox.d)/2+r.bbox.d)}else{var p=this.data[0].toHTML(q,o,s);if(s!=null){p=this.data[0].HTMLstretchV(r,o,s)}else{if(o!=null){p=this.data[0].HTMLstretchH(r,o)}}q.bbox=p.bbox}}this.HTMLhandleSpace(q);this.HTMLhandleColor(q);return q},HTMLstretchH:i.mbase.HTMLstretchH,HTMLstretchV:i.mbase.HTMLstretchV});b.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",d,"jax.js"]),0)})});b.Register.StartupHook("End Config",function(){b.Browser.Select({MSIE:function(m){var q=(document.documentMode||0);var p=m.versionAtLeast("7.0");var o=m.versionAtLeast("8.0")&&q>7;var n=(document.compatMode==="BackCompat");if(q<9){d.config.styles[".MathJax .MathJax_HitBox"]["background-color"]="white";d.config.styles[".MathJax .MathJax_HitBox"].opacity=0;d.config.styles[".MathJax .MathJax_HitBox"].filter="alpha(opacity=0)"}d.Augment({PaddingWidthBug:true,msieAccentBug:true,msieColorBug:(q<8),msieColorPositionBug:true,msieRelativeWidthBug:n,msieDisappearingBug:(q>=8),msieMarginScaleBug:(q<8),msiePaddingWidthBug:true,msieBorderWidthBug:n,msieFrameSizeBug:(q<=8),msieInlineBlockAlignBug:(!o||n),msiePlaceBoxBug:(o&&!n),msieClipRectBug:!o,msieNegativeSpaceBug:n,msieRuleBug:(q<7),cloneNodeBug:(o&&m.version==="8.0"),msieItalicWidthBug:true,initialSkipBug:(q<8),msieNegativeBBoxBug:(q>=8),msieIE6:!p,msieItalicWidthBug:true,FontFaceBug:(q<9),msieFontCSSBug:m.isIE9,allowWebFonts:(q>=9?"woff":"eot")})},Firefox:function(n){var o=false;if(n.versionAtLeast("3.5")){var m=String(document.location).replace(/[^\/]*$/,"");if(document.location.protocol!=="file:"||b.config.root.match(/^https?:\/\//)||(b.config.root+"/").substr(0,m.length)===m){o="otf"}}d.Augment({ffVerticalAlignBug:!n.versionAtLeast("20.0"),AccentBug:true,allowWebFonts:o,ffFontOptimizationBug:true})},Safari:function(r){var p=r.versionAtLeast("3.0");var o=r.versionAtLeast("3.1");var m=navigator.appVersion.match(/ Safari\/\d/)&&navigator.appVersion.match(/ Version\/\d/)&&navigator.vendor.match(/Apple/);var n=(navigator.appVersion.match(/ Android (\d+)\.(\d+)/));var s=(o&&r.isMobile&&((navigator.platform.match(/iPad|iPod|iPhone/)&&!r.versionAtLeast("5.0"))||(n!=null&&(n[1]<2||(n[1]==2&&n[2]<2)))));d.Augment({config:{styles:{".MathJax img, .MathJax nobr, .MathJax a":{"max-width":"5000em","max-height":"5000em"}}},Em:((r.webkit||0)>=538?d.EmRounded:d.Em),rfuzz:0.011,AccentBug:true,AdjustSurd:true,negativeBBoxes:true,safariNegativeSpaceBug:true,safariVerticalAlignBug:!o,safariTextNodeBug:!p,forceReflow:true,FontFaceBug:true,combiningCharBug:parseInt(r.webkit)>=602,allowWebFonts:(o&&!s?"otf":false)});if(m){d.Augment({webFontDefault:(r.isMobile?"sans-serif":"serif")})}if(r.isPC){d.Augment({adjustAvailableFonts:d.removeSTIXfonts,checkWebFontsTwice:true})}if(s){var q=b.config["HTML-CSS"];if(q){q.availableFonts=[];q.preferredFont=null}else{b.config["HTML-CSS"]={availableFonts:[],preferredFont:null}}}},Chrome:function(m){d.Augment({Em:d.EmRounded,cloneNodeBug:true,rfuzz:-0.02,AccentBug:true,AdjustSurd:true,FontFaceBug:m.versionAtLeast("32.0"),negativeBBoxes:true,safariNegativeSpaceBug:true,safariWebFontSerif:[""],forceReflow:true,allowWebFonts:(m.versionAtLeast("4.0")?"otf":"svg")})},Opera:function(m){m.isMini=(navigator.appVersion.match("Opera Mini")!=null);d.config.styles[".MathJax .merror"]["vertical-align"]=null;d.config.styles[".MathJax span"]["z-index"]=0;d.Augment({operaHeightBug:true,operaVerticalAlignBug:true,operaFontSizeBug:m.versionAtLeast("10.61"),initialSkipBug:true,FontFaceBug:true,PaddingWidthBug:true,allowWebFonts:(m.versionAtLeast("10.0")&&!m.isMini?"otf":false),adjustAvailableFonts:d.removeSTIXfonts})},Konqueror:function(m){d.Augment({konquerorVerticalAlignBug:true})}})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.OutputJax["HTML-CSS"]);
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_HTMLorMML-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_HTMLorMML-full.js");
diff --git a/config/TeX-MML-AM_HTMLorMML.js b/config/TeX-MML-AM_HTMLorMML.js
index 57ebcf556c..822f57a14f 100644
--- a/config/TeX-MML-AM_HTMLorMML.js
+++ b/config/TeX-MML-AM_HTMLorMML.js
@@ -47,29 +47,117 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
 (function(c,g){var f="2.7.0";var a=MathJax.Hub.CombineConfig("MMLorHTML",{prefer:{MSIE:"MML",Firefox:"HTML",Opera:"HTML",Chrome:"HTML",Safari:"HTML",other:"HTML"}});var e={Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4};var b=(g.version==="0.0"||g.versionAtLeast(e[g]||0));var d=(g.isFirefox&&g.versionAtLeast("1.5"))||(g.isMSIE&&g.hasMathPlayer)||(g.isSafari&&g.versionAtLeast("5.0"))||(g.isOpera&&g.versionAtLeast("9.52"));c.Register.StartupHook("End Config",function(){var h=(a.prefer&&typeof(a.prefer)==="object"?a.prefer[MathJax.Hub.Browser]||a.prefer.other||"HTML":a.prefer);if(b||d){if(d&&(h==="MML"||!b)){if(MathJax.OutputJax.NativeMML){MathJax.OutputJax.NativeMML.Register("jax/mml")}else{c.config.jax.unshift("output/NativeMML")}c.Startup.signal.Post("NativeMML output selected")}else{if(MathJax.OutputJax["HTML-CSS"]){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}else{c.config.jax.unshift("output/HTML-CSS")}c.Startup.signal.Post("HTML-CSS output selected")}}else{c.PreProcess.disabled=true;c.prepareScripts.disabled=true;MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);c.Startup.signal.Post("MathJax not supported")}})})(MathJax.Hub,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/config/MMLorHTML.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_HTMLorMML.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_HTMLorMML.js");
diff --git a/config/TeX-MML-AM_SVG-full.js b/config/TeX-MML-AM_SVG-full.js
index 5b1d7fd47e..a59e98d273 100644
--- a/config/TeX-MML-AM_SVG-full.js
+++ b/config/TeX-MML-AM_SVG-full.js
@@ -45,29 +45,117 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.9",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
-(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);var o=n.Add(this.data[0].toSVG());n.Clean();if(o.ic){n.ic=o.ic}this.SVGhandleColor(n)}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aI<aE;aI++){S=this.data[aI];az=(S.type==="mlabeledtr"?aK:0);O[aI]=[];z[aI]=ac;I[aI]=ag;for(aG=az,u=S.data.length+az;aG<u;aG++){if(k[aG]==null){if(aG>w){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aI<aE;aI++){am[aI]=d.length2em(am[aI],v)}for(aI=0,aE=T.length;aI<aE;aI++){T[aI]=d.length2em(T[aI],v)}while(am.length<w){am.push(am[am.length-1])}while(ai.length<=w){ai.push(ai[ai.length-1])}while(N.length<w){N.push(N[N.length-1])}while(ar.length<=w){ar.push(ar[ar.length-1])}while(T.length<O.length){T.push(T[T.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(h.length<O.length){h.push(h[h.length-1])}if(K[aK]){ai[aK]=(aN.side.substr(0,1)==="l"?"left":"right");am[aK]=-k[aK]}for(aI=0,aE=O.length;aI<aE;aI++){S=this.data[aI];aw[aI]=[];if(S.rowalign){L[aI]=S.rowalign}if(S.columnalign){aw[aI]=ao(S.columnalign);while(aw[aI].length<=w){aw[aI].push(aw[aI][aw[aI].length-1])}}}if(aN.equalrows){var U=Math.max.apply(Math,z),aq=Math.max.apply(Math,I);for(aI=0,aE=O.length;aI<aE;aI++){az=((U+aq)-(z[aI]+I[aI]))/2;z[aI]+=az;I[aI]+=az}}aA=z[0]+I[O.length-1];for(aI=0,aE=O.length-1;aI<aE;aI++){aA+=Math.max(0,I[aI]+z[aI+1]+T[aI])}var ae=0,ab=0,aB,aL=aA;if(aN.frame!=="none"||(aN.columnlines+aN.rowlines).match(/solid|dashed/)){var t=ao(aN.framespacing);if(t.length!=2){t=ao(this.defaults.framespacing)}ae=d.length2em(t[0],v);ab=d.length2em(t[1],v);aL=aA+2*ab}var g,ay,aD="";if(typeof(aN.align)!=="string"){aN.align=String(aN.align)}if(aN.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aD=RegExp.$3||"";aN.align=RegExp.$1}else{aN.align=this.defaults.align}if(aD!==""){aD=parseInt(aD);if(aD<0){aD=O.length+1+aD}if(aD<1){aD=1}else{if(aD>O.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI<aE;aI++){var Z=Math.max(0,I[aI]+z[aI+1]+T[aI]);g+=Z;ay+=Z}}else{g=({top:-(z[0]+ab),bottom:aA+ab-z[0],center:aA/2-z[0],baseline:aA/2-z[0],axis:aA/2+d.TeX.axis_height*ap-z[0]})[aN.align];ay=({top:-(aA+2*ab),bottom:0,center:-(aA/2+ab),baseline:-(aA/2+ab),axis:d.TeX.axis_height*ap-aA/2-ab})[aN.align]}var at,ax=0,V=0,X=0,aC=0,aJ=0,r=[],B=[],aj=1;if(aN.equalcolumns&&aN.width!=="auto"){at=d.length2em(aN.width,v);for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}at/=w;for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){k[aI]=at}}else{for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){if(ar[aI]==="auto"){V+=k[aI]}else{if(ar[aI]==="fit"){B[aJ]=aI;aJ++;V+=k[aI]}else{if(ar[aI].match(/%$/)){r[aC]=aI;aC++;X+=k[aI];ax+=d.length2em(ar[aI],v,1)}else{k[aI]=d.length2em(ar[aI],v);V+=k[aI]}}}}if(aN.width==="auto"){if(ax>0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}}for(aI=0,aE=r.length;aI<aE;aI++){k[r[aI]]=d.length2em(ar[r[aI]],v,at*aj);V+=k[r[aI]]}if(Math.abs(at-V)>0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aI<aE;aI++){k[B[aI]]+=at}}else{at=at/V;for(aG=0;aG<=w;aG++){k[aG]*=at}}}if(aN.equalcolumns){var af=Math.max.apply(Math,k);for(aG=0;aG<=w;aG++){k[aG]=af}}}var au=g,l,aF;az=(K[aK]?aK:0);for(aG=az;aG<=w;aG++){K[aG].w=k[aG];for(aI=0,aE=O.length;aI<aE;aI++){if(O[aI][aG]){az=(this.data[aI].type==="mlabeledtr"?aK:0);an=this.data[aI].data[aG-az];if(an.SVGcanStretch("Horizontal")){O[aI][aG]=an.SVGstretchH(k[aG])}else{if(an.SVGcanStretch("Vertical")){E=an.CoreMO();var ad=E.symmetric;E.symmetric=false;O[aI][aG]=an.SVGstretchV(z[aI],I[aI]);E.symmetric=ad}}aF=an.rowalign||this.data[aI].rowalign||L[aI];l=({top:z[aI]-O[aI][aG].h,bottom:O[aI][aG].d-I[aI],center:((z[aI]-I[aI])-(O[aI][aG].h-O[aI][aG].d))/2,baseline:0,axis:0})[aF]||0;aF=(an.columnalign||aw[aI][aG]||ai[aG]);K[aG].Align(O[aI][aG],aF,0,au+l)}if(aI<O.length-1){au-=Math.max(0,I[aI]+z[aI+1]+T[aI])}}au=g}var ah=1.5*d.em;var av=ae-ah/2;for(aG=0;aG<=w;aG++){o.Add(K[aG],av,0);av+=k[aG]+am[aG];if(N[aG]!=="none"&&aG<w&&aG!==aK){o.Add(b.VLINE(aL,ah,N[aG]),av-am[aG]/2,ay)}}o.w+=ae;o.d=-ay;o.h=aL+ay;aB=o.w;if(aN.frame!=="none"){o.Add(b.HLINE(aB,ah,aN.frame),0,ay+aL-ah);o.Add(b.HLINE(aB,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),aB-ah,ay)}au=g-ah/2;for(aI=0,aE=O.length-1;aI<aE;aI++){l=Math.max(0,I[aI]+z[aI+1]+T[aI]);if(h[aI]!==a.LINES.NONE&&h[aI]!==""){o.Add(b.HLINE(aB,ah,h[aI]),0,au-I[aI]-(l-I[aI]-z[aI+1])/2)}au-=l}o.Clean();this.SVGhandleSpace(o);this.SVGhandleColor(o);if(K[aK]){o.tw=Math.max(o.w,o.r)-Math.min(0,o.l);var R=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(R.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){R.indentalign=R.indentalignfirst}if(R.indentalign===a.INDENTALIGN.AUTO){R.indentalign=this.displayAlign}if(R.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){R.indentshift=R.indentshiftfirst}if(R.indentshift==="auto"||R.indentshift===""){R.indentshift="0"}var ak=d.length2em(R.indentshift,v,d.cwidth);var Q=d.length2em(aN.minlabelspacing,v,d.cwidth);var al=Q+K[aK].w,aO=0,aH=o.w;var e=d.length2em(this.displayIndent,v,d.cwidth);az=(ai[aK]===a.INDENTALIGN.RIGHT?-1:1);if(R.indentalign===a.INDENTALIGN.CENTER){var q=(d.cwidth-aH)/2;ak+=e;if(al+az*aO>q+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}o.D=o.d;o.H=o.h;o.r=Math.max(0,Math.min(o.w,o.r));o.l=Math.max(0,Math.min(o.w,o.l))}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(o);var p=o.Add(this.data[0].toSVG(n,q));o.Clean();if(p.ic){o.ic=p.ic}this.SVGhandleColor(o)}this.SVGsaveData(o);return o}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aI<aE;aI++){S=this.data[aI];az=(S.type==="mlabeledtr"?aK:0);O[aI]=[];z[aI]=ac;I[aI]=ag;for(aG=az,u=S.data.length+az;aG<u;aG++){if(k[aG]==null){if(aG>w){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aI<aE;aI++){am[aI]=d.length2em(am[aI],v)}for(aI=0,aE=T.length;aI<aE;aI++){T[aI]=d.length2em(T[aI],v)}while(am.length<w){am.push(am[am.length-1])}while(ai.length<=w){ai.push(ai[ai.length-1])}while(N.length<w){N.push(N[N.length-1])}while(ar.length<=w){ar.push(ar[ar.length-1])}while(T.length<O.length){T.push(T[T.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(h.length<O.length){h.push(h[h.length-1])}if(K[aK]){ai[aK]=(aN.side.substr(0,1)==="l"?"left":"right");am[aK]=-k[aK]}for(aI=0,aE=O.length;aI<aE;aI++){S=this.data[aI];aw[aI]=[];if(S.rowalign){L[aI]=S.rowalign}if(S.columnalign){aw[aI]=ao(S.columnalign);while(aw[aI].length<=w){aw[aI].push(aw[aI][aw[aI].length-1])}}}if(aN.equalrows){var U=Math.max.apply(Math,z),aq=Math.max.apply(Math,I);for(aI=0,aE=O.length;aI<aE;aI++){az=((U+aq)-(z[aI]+I[aI]))/2;z[aI]+=az;I[aI]+=az}}aA=z[0]+I[O.length-1];for(aI=0,aE=O.length-1;aI<aE;aI++){aA+=Math.max(0,I[aI]+z[aI+1]+T[aI])}var ae=0,ab=0,aB,aL=aA;if(aN.frame!=="none"||(aN.columnlines+aN.rowlines).match(/solid|dashed/)){var t=ao(aN.framespacing);if(t.length!=2){t=ao(this.defaults.framespacing)}ae=d.length2em(t[0],v);ab=d.length2em(t[1],v);aL=aA+2*ab}var g,ay,aD="";if(typeof(aN.align)!=="string"){aN.align=String(aN.align)}if(aN.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aD=RegExp.$3||"";aN.align=RegExp.$1}else{aN.align=this.defaults.align}if(aD!==""){aD=parseInt(aD);if(aD<0){aD=O.length+1+aD}if(aD<1){aD=1}else{if(aD>O.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI<aE;aI++){var Z=Math.max(0,I[aI]+z[aI+1]+T[aI]);g+=Z;ay+=Z}}else{g=({top:-(z[0]+ab),bottom:aA+ab-z[0],center:aA/2-z[0],baseline:aA/2-z[0],axis:aA/2+d.TeX.axis_height*ap-z[0]})[aN.align];ay=({top:-(aA+2*ab),bottom:0,center:-(aA/2+ab),baseline:-(aA/2+ab),axis:d.TeX.axis_height*ap-aA/2-ab})[aN.align]}var at,ax=0,V=0,X=0,aC=0,aJ=0,r=[],B=[],aj=1;if(aN.equalcolumns&&aN.width!=="auto"){at=d.length2em(aN.width,v);for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}at/=w;for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){k[aI]=at}}else{for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){if(ar[aI]==="auto"){V+=k[aI]}else{if(ar[aI]==="fit"){B[aJ]=aI;aJ++;V+=k[aI]}else{if(ar[aI].match(/%$/)){r[aC]=aI;aC++;X+=k[aI];ax+=d.length2em(ar[aI],v,1)}else{k[aI]=d.length2em(ar[aI],v);V+=k[aI]}}}}if(aN.width==="auto"){if(ax>0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}}for(aI=0,aE=r.length;aI<aE;aI++){k[r[aI]]=d.length2em(ar[r[aI]],v,at*aj);V+=k[r[aI]]}if(Math.abs(at-V)>0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aI<aE;aI++){k[B[aI]]+=at}}else{at=at/V;for(aG=0;aG<=w;aG++){k[aG]*=at}}}if(aN.equalcolumns){var af=Math.max.apply(Math,k);for(aG=0;aG<=w;aG++){k[aG]=af}}}var au=g,l,aF;az=(K[aK]?aK:0);for(aG=az;aG<=w;aG++){K[aG].w=k[aG];for(aI=0,aE=O.length;aI<aE;aI++){if(O[aI][aG]){az=(this.data[aI].type==="mlabeledtr"?aK:0);an=this.data[aI].data[aG-az];if(an.SVGcanStretch("Horizontal")){O[aI][aG]=an.SVGstretchH(k[aG])}else{if(an.SVGcanStretch("Vertical")){E=an.CoreMO();var ad=E.symmetric;E.symmetric=false;O[aI][aG]=an.SVGstretchV(z[aI],I[aI]);E.symmetric=ad}}aF=an.rowalign||this.data[aI].rowalign||L[aI];l=({top:z[aI]-O[aI][aG].h,bottom:O[aI][aG].d-I[aI],center:((z[aI]-I[aI])-(O[aI][aG].h-O[aI][aG].d))/2,baseline:0,axis:0})[aF]||0;aF=(an.columnalign||aw[aI][aG]||ai[aG]);K[aG].Align(O[aI][aG],aF,0,au+l)}if(aI<O.length-1){au-=Math.max(0,I[aI]+z[aI+1]+T[aI])}}au=g}var ah=1.5*d.em;var av=ae-ah/2;for(aG=0;aG<=w;aG++){o.Add(K[aG],av,0);av+=k[aG]+am[aG];if(N[aG]!=="none"&&aG<w&&aG!==aK){o.Add(b.VLINE(aL,ah,N[aG]),av-am[aG]/2,ay)}}o.w+=ae;o.d=-ay;o.h=aL+ay;aB=o.w;if(aN.frame!=="none"){o.Add(b.HLINE(aB,ah,aN.frame),0,ay+aL-ah);o.Add(b.HLINE(aB,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),aB-ah,ay)}au=g-ah/2;for(aI=0,aE=O.length-1;aI<aE;aI++){l=Math.max(0,I[aI]+z[aI+1]+T[aI]);if(h[aI]!==a.LINES.NONE&&h[aI]!==""){o.Add(b.HLINE(aB,ah,h[aI]),0,au-I[aI]-(l-I[aI]-z[aI+1])/2)}au-=l}o.Clean();this.SVGhandleSpace(o);this.SVGhandleColor(o);if(K[aK]){o.tw=Math.max(o.w,o.r)-Math.min(0,o.l);var R=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(R.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){R.indentalign=R.indentalignfirst}if(R.indentalign===a.INDENTALIGN.AUTO){R.indentalign=this.displayAlign}if(R.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){R.indentshift=R.indentshiftfirst}if(R.indentshift==="auto"||R.indentshift===""){R.indentshift="0"}var ak=d.length2em(R.indentshift,v,d.cwidth);var Q=d.length2em(aN.minlabelspacing,v,d.cwidth);var al=Q+K[aK].w,aO=0,aH=o.w;var e=d.length2em(this.displayIndent,v,d.cwidth);az=(ai[aK]===a.INDENTALIGN.RIGHT?-1:1);if(R.indentalign===a.INDENTALIGN.CENTER){var q=(d.cwidth-aH)/2;ak+=e;if(al+az*aO>q+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_SVG-full.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_SVG-full.js");
diff --git a/config/TeX-MML-AM_SVG.js b/config/TeX-MML-AM_SVG.js
index 71ddcd27df..4d8b991bfe 100644
--- a/config/TeX-MML-AM_SVG.js
+++ b/config/TeX-MML-AM_SVG.js
@@ -43,27 +43,115 @@ MathJax.Hub.Config({
   extensions: ['[a11y]/accessibility-menu.js']
 });
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.9",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
 (function(c,d){var a;var b=function(e){return MathJax.Localization._.apply(MathJax.Localization,[["MathML",e]].concat([].slice.call(arguments,1)))};c.Parse=MathJax.Object.Subclass({Init:function(f,e){this.Parse(f,e)},Parse:function(h,e){var j;if(typeof h!=="string"){j=h.parentNode}else{j=c.ParseXML(this.preProcessMath.call(this,h));if(j==null){c.Error(["ErrorParsingMathML","Error parsing MathML"])}}var g=j.getElementsByTagName("parsererror")[0];if(g){c.Error(["ParsingError","Error parsing MathML: %1",g.textContent.replace(/This page.*?errors:|XML Parsing Error: |Below is a rendering of the page.*/g,"")])}if(j.childNodes.length!==1){c.Error(["MathMLSingleElement","MathML must be formed by a single element"])}if(j.firstChild.nodeName.toLowerCase()==="html"){var f=j.getElementsByTagName("h1")[0];if(f&&f.textContent==="XML parsing error"&&f.nextSibling){c.Error(["ParsingError","Error parsing MathML: %1",String(f.nextSibling.nodeValue).replace(/fatal parsing error: /,"")])}}if(j.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")!=="math"){c.Error(["MathMLRootElement","MathML must be formed by a <math> element, not %1","<"+j.firstChild.nodeName+">"])}var i={math:j.firstChild,script:e};c.DOMfilterHooks.Execute(i);this.mml=this.MakeMML(i.math)},MakeMML:function(h){var i=String(h.getAttribute("class")||"");var f,g=h.nodeName.toLowerCase().replace(/^[a-z]+:/,"");var e=(i.match(/(^| )MJX-TeXAtom-([^ ]*)/));if(e){f=this.TeXAtom(e[2],e[2]==="OP"&&!i.match(/MJX-fixedlimits/))}else{if(!(a[g]&&a[g].isa&&a[g].isa(a.mbase))){MathJax.Hub.signal.Post(["MathML Jax - unknown node type",g]);return a.Error(b("UnknownNodeType","Unknown node type: %1",g))}else{f=a[g]()}}this.AddAttributes(f,h);this.CheckClass(f,f["class"]);this.AddChildren(f,h);if(c.config.useMathMLspacing){f.useMMLspacing=8}return f},TeXAtom:function(g,f){var e=a.TeXAtom().With({texClass:a.TEXCLASS[g]});if(f){e.movesupsub=e.movablelimits=true}return e},CheckClass:function(f,h){h=(h||"").split(/ /);var j=[];for(var g=0,e=h.length;g<e;g++){if(h[g].substr(0,4)==="MJX-"){if(h[g]==="MJX-arrow"){if(!f.notation.match("/"+a.NOTATION.UPDIAGONALARROW+"/")){f.notation+=" "+a.NOTATION.UPDIAGONALARROW}}else{if(h[g]==="MJX-variant"){f.variantForm=true;if(!MathJax.Extension["TeX/AMSsymbols"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/AMSsymbols.js"))}}else{if(h[g].substr(0,11)!=="MJX-TeXAtom"){f.mathvariant=h[g].substr(3);if(f.mathvariant==="-tex-caligraphic-bold"||f.mathvariant==="-tex-oldstyle-bold"){if(!MathJax.Extension["TeX/boldsymbol"]){MathJax.Hub.RestartAfter(MathJax.Ajax.Require("[MathJax]/extensions/TeX/boldsymbol.js"))}}}}}}else{j.push(h[g])}}if(j.length){f["class"]=j.join(" ")}else{delete f["class"]}},AddAttributes:function(g,j){g.attr={};g.attrNames=[];for(var h=0,e=j.attributes.length;h<e;h++){var f=j.attributes[h].name;if(f=="xlink:href"){f="href"}if(f.match(/:/)){continue}if(f.match(/^_moz-math-((column|row)(align|line)|font-style)$/)){continue}var k=j.attributes[h].value;k=this.filterAttribute(f,k);var l=(g.type==="mstyle"?a.math.prototype.defaults:g.defaults);if(k!=null){var n=k.toLowerCase();if(n==="true"||n==="false"){if(typeof(l[f])==="boolean"||l[f]===a.INHERIT||g.type==="math"||g.type==="mstyle"||(l[f]===a.AUTO&&(g.defaultDef==null||typeof(g.defaultDef[f])==="boolean"))){k=(n==="true")}}if(l[f]!=null||a.copyAttributes[f]){g[f]=k}else{g.attr[f]=k}g.attrNames.push(f)}}},filterAttribute:function(e,f){return f},AddChildren:function(e,g){for(var k=0,j=g.childNodes.length;k<j;k++){var f=g.childNodes[k];if(f.nodeName==="#comment"){continue}if(f.nodeName==="#text"){if((e.isToken||e.isChars)&&!e.mmlSelfClosing){var o=f.nodeValue;if(e.isToken){o=o.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity);o=this.trimSpace(o)}e.Append(a.chars(o))}else{if(f.nodeValue.match(/\S/)){c.Error(["UnexpectedTextNode","Unexpected text node: %1","'"+f.nodeValue+"'"])}}}else{if(e.type==="annotation-xml"){e.Append(a.xml(f))}else{var h=this.MakeMML(f);e.Append(h);if(h.mmlSelfClosing&&h.data.length){e.Append.apply(e,h.data);h.data=[]}}}}if(e.type==="mrow"&&e.data.length>=2){var l=e.data[0],n=e.data[e.data.length-1];if(l.type==="mo"&&l.Get("fence")&&n.type==="mo"&&n.Get("fence")){if(l.data[0]){e.open=l.data.join("")}if(n.data[0]){e.close=n.data.join("")}}}},preProcessMath:function(f){if(f.match(/^<[a-z]+:/i)&&!f.match(/^<[^<>]* xmlns:/)){f=f.replace(/^<([a-z]+)(:math)/i,'<$1$2 xmlns:$1="http://www.w3.org/1998/Math/MathML"')}var e=f.match(/^(<math( ('.*?'|".*?"|[^>])+)>)/i);if(e&&e[2].match(/ (?!xmlns=)[a-z]+=\"http:/i)){f=e[1].replace(/ (?!xmlns=)([a-z]+=(['"])http:.*?\2)/ig," xmlns:$1 $1")+f.substr(e[0].length)}if(f.match(/^<math[ >]/i)&&!f.match(/^<[^<>]* xmlns=/)){f=f.replace(/^<(math)/i,'<math xmlns="http://www.w3.org/1998/Math/MathML"')}f=f.replace(/^\s*(?:\/\/)?<!(--)?\[CDATA\[((.|\n)*)(\/\/)?\]\]\1>\s*$/,"$2");return f.replace(/&([a-z][a-z0-9]*);/ig,this.replaceEntity)},trimSpace:function(e){return e.replace(/[\t\n\r]/g," ").replace(/^ +/,"").replace(/ +$/,"").replace(/  +/g," ")},replaceEntity:function(g,f){if(f.match(/^(lt|amp|quot)$/)){return g}if(c.Parse.Entity[f]){return c.Parse.Entity[f]}var h=f.charAt(0).toLowerCase();var e=f.match(/^[a-zA-Z](fr|scr|opf)$/);if(e){h=e[1]}if(!c.Parse.loaded[h]){c.Parse.loaded[h]=true;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(c.entityDir+"/"+h+".js"))}return g}},{loaded:[]});c.Augment({sourceMenuTitle:["OriginalMathML","Original MathML"],prefilterHooks:MathJax.Callback.Hooks(true),DOMfilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(e){if(!this.ParseXML){this.ParseXML=this.createParser()}var f,h,i={script:e};if(e.firstChild&&e.firstChild.nodeName.toLowerCase().replace(/^[a-z]+:/,"")==="math"){i.math=e.firstChild}else{h=MathJax.HTML.getScript(e);if(d.isMSIE){h=h.replace(/(&nbsp;)+$/,"")}i.math=h}var j=this.prefilterHooks.Execute(i);if(j){return j}h=i.math;try{f=c.Parse(h,e).mml}catch(g){if(!g.mathmlError){throw g}f=this.formatError(g,h,e)}i.math=a(f);return this.postfilterHooks.Execute(i)||i.math},prefilterMath:function(f,e){return f},prefilterMathML:function(f,e){return f},formatError:function(h,g,e){var f=h.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["MathML Jax - parse error",f,g,e]);return a.Error(f)},Error:function(e){if(MathJax.Object.isArray(e)){e=b.apply(b,e)}throw MathJax.Hub.Insert(Error(e),{mathmlError:true})},parseDOM:function(e){return this.parser.parseFromString(e,"text/xml")},parseMS:function(e){return(this.parser.loadXML(e)?this.parser:null)},parseDIV:function(e){this.div.innerHTML="<div>"+e.replace(/<([a-z]+)([^>]*)\/>/g,"<$1$2></$1>")+"</div>";var f=this.div.firstChild;this.div.innerHTML="";return f},parseError:function(e){return null},createMSParser:function(){var j=null;var f=["MSXML2.DOMDocument.6.0","MSXML2.DOMDocument.5.0","MSXML2.DOMDocument.4.0","MSXML2.DOMDocument.3.0","MSXML2.DOMDocument.2.0","Microsoft.XMLDOM"];for(var g=0,e=f.length;g<e&&!j;g++){try{j=new ActiveXObject(f[g])}catch(h){}}return j},createParser:function(){if(window.DOMParser){this.parser=new DOMParser();return(this.parseDOM)}else{if(window.ActiveXObject){this.parser=this.createMSParser();if(!this.parser){MathJax.Localization.Try(this.parserCreationError);return(this.parseError)}this.parser.async=false;return(this.parseMS)}}this.div=MathJax.Hub.Insert(document.createElement("div"),{style:{visibility:"hidden",overflow:"hidden",height:"1px",position:"absolute",top:0}});if(!document.body.firstChild){document.body.appendChild(this.div)}else{document.body.insertBefore(this.div,document.body.firstChild)}return(this.parseDIV)},parserCreationError:function(){alert(b("CantCreateXMLParser","MathJax can't create an XML parser for MathML.  Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax."))},Startup:function(){a=MathJax.ElementJax.mml;a.mspace.Augment({mmlSelfClosing:true});a.none.Augment({mmlSelfClosing:true});a.mprescripts.Augment({mmlSelfClosing:true});a.maligngroup.Augment({mmlSelfClosing:true});a.malignmark.Augment({mmlSelfClosing:true})}});c.prefilterHooks.Add(function(e){e.math=(typeof(e.math)==="string"?c.prefilterMath(e.math,e.script):c.prefilterMathML(e.math,e.script))});c.Parse.Entity={ApplyFunction:"\u2061",Backslash:"\u2216",Because:"\u2235",Breve:"\u02D8",Cap:"\u22D2",CenterDot:"\u00B7",CircleDot:"\u2299",CircleMinus:"\u2296",CirclePlus:"\u2295",CircleTimes:"\u2297",Congruent:"\u2261",ContourIntegral:"\u222E",Coproduct:"\u2210",Cross:"\u2A2F",Cup:"\u22D3",CupCap:"\u224D",Dagger:"\u2021",Del:"\u2207",Delta:"\u0394",Diamond:"\u22C4",DifferentialD:"\u2146",DotEqual:"\u2250",DoubleDot:"\u00A8",DoubleRightTee:"\u22A8",DoubleVerticalBar:"\u2225",DownArrow:"\u2193",DownLeftVector:"\u21BD",DownRightVector:"\u21C1",DownTee:"\u22A4",Downarrow:"\u21D3",Element:"\u2208",EqualTilde:"\u2242",Equilibrium:"\u21CC",Exists:"\u2203",ExponentialE:"\u2147",FilledVerySmallSquare:"\u25AA",ForAll:"\u2200",Gamma:"\u0393",Gg:"\u22D9",GreaterEqual:"\u2265",GreaterEqualLess:"\u22DB",GreaterFullEqual:"\u2267",GreaterLess:"\u2277",GreaterSlantEqual:"\u2A7E",GreaterTilde:"\u2273",Hacek:"\u02C7",Hat:"\u005E",HumpDownHump:"\u224E",HumpEqual:"\u224F",Im:"\u2111",ImaginaryI:"\u2148",Integral:"\u222B",Intersection:"\u22C2",InvisibleComma:"\u2063",InvisibleTimes:"\u2062",Lambda:"\u039B",Larr:"\u219E",LeftAngleBracket:"\u27E8",LeftArrow:"\u2190",LeftArrowRightArrow:"\u21C6",LeftCeiling:"\u2308",LeftDownVector:"\u21C3",LeftFloor:"\u230A",LeftRightArrow:"\u2194",LeftTee:"\u22A3",LeftTriangle:"\u22B2",LeftTriangleEqual:"\u22B4",LeftUpVector:"\u21BF",LeftVector:"\u21BC",Leftarrow:"\u21D0",Leftrightarrow:"\u21D4",LessEqualGreater:"\u22DA",LessFullEqual:"\u2266",LessGreater:"\u2276",LessSlantEqual:"\u2A7D",LessTilde:"\u2272",Ll:"\u22D8",Lleftarrow:"\u21DA",LongLeftArrow:"\u27F5",LongLeftRightArrow:"\u27F7",LongRightArrow:"\u27F6",Longleftarrow:"\u27F8",Longleftrightarrow:"\u27FA",Longrightarrow:"\u27F9",Lsh:"\u21B0",MinusPlus:"\u2213",NestedGreaterGreater:"\u226B",NestedLessLess:"\u226A",NotDoubleVerticalBar:"\u2226",NotElement:"\u2209",NotEqual:"\u2260",NotExists:"\u2204",NotGreater:"\u226F",NotGreaterEqual:"\u2271",NotLeftTriangle:"\u22EA",NotLeftTriangleEqual:"\u22EC",NotLess:"\u226E",NotLessEqual:"\u2270",NotPrecedes:"\u2280",NotPrecedesSlantEqual:"\u22E0",NotRightTriangle:"\u22EB",NotRightTriangleEqual:"\u22ED",NotSubsetEqual:"\u2288",NotSucceeds:"\u2281",NotSucceedsSlantEqual:"\u22E1",NotSupersetEqual:"\u2289",NotTilde:"\u2241",NotVerticalBar:"\u2224",Omega:"\u03A9",OverBar:"\u203E",OverBrace:"\u23DE",PartialD:"\u2202",Phi:"\u03A6",Pi:"\u03A0",PlusMinus:"\u00B1",Precedes:"\u227A",PrecedesEqual:"\u2AAF",PrecedesSlantEqual:"\u227C",PrecedesTilde:"\u227E",Product:"\u220F",Proportional:"\u221D",Psi:"\u03A8",Rarr:"\u21A0",Re:"\u211C",ReverseEquilibrium:"\u21CB",RightAngleBracket:"\u27E9",RightArrow:"\u2192",RightArrowLeftArrow:"\u21C4",RightCeiling:"\u2309",RightDownVector:"\u21C2",RightFloor:"\u230B",RightTee:"\u22A2",RightTeeArrow:"\u21A6",RightTriangle:"\u22B3",RightTriangleEqual:"\u22B5",RightUpVector:"\u21BE",RightVector:"\u21C0",Rightarrow:"\u21D2",Rrightarrow:"\u21DB",Rsh:"\u21B1",Sigma:"\u03A3",SmallCircle:"\u2218",Sqrt:"\u221A",Square:"\u25A1",SquareIntersection:"\u2293",SquareSubset:"\u228F",SquareSubsetEqual:"\u2291",SquareSuperset:"\u2290",SquareSupersetEqual:"\u2292",SquareUnion:"\u2294",Star:"\u22C6",Subset:"\u22D0",SubsetEqual:"\u2286",Succeeds:"\u227B",SucceedsEqual:"\u2AB0",SucceedsSlantEqual:"\u227D",SucceedsTilde:"\u227F",SuchThat:"\u220B",Sum:"\u2211",Superset:"\u2283",SupersetEqual:"\u2287",Supset:"\u22D1",Therefore:"\u2234",Theta:"\u0398",Tilde:"\u223C",TildeEqual:"\u2243",TildeFullEqual:"\u2245",TildeTilde:"\u2248",UnderBar:"\u005F",UnderBrace:"\u23DF",Union:"\u22C3",UnionPlus:"\u228E",UpArrow:"\u2191",UpDownArrow:"\u2195",UpTee:"\u22A5",Uparrow:"\u21D1",Updownarrow:"\u21D5",Upsilon:"\u03A5",Vdash:"\u22A9",Vee:"\u22C1",VerticalBar:"\u2223",VerticalTilde:"\u2240",Vvdash:"\u22AA",Wedge:"\u22C0",Xi:"\u039E",acute:"\u00B4",aleph:"\u2135",alpha:"\u03B1",amalg:"\u2A3F",and:"\u2227",ang:"\u2220",angmsd:"\u2221",angsph:"\u2222",ape:"\u224A",backprime:"\u2035",backsim:"\u223D",backsimeq:"\u22CD",beta:"\u03B2",beth:"\u2136",between:"\u226C",bigcirc:"\u25EF",bigodot:"\u2A00",bigoplus:"\u2A01",bigotimes:"\u2A02",bigsqcup:"\u2A06",bigstar:"\u2605",bigtriangledown:"\u25BD",bigtriangleup:"\u25B3",biguplus:"\u2A04",blacklozenge:"\u29EB",blacktriangle:"\u25B4",blacktriangledown:"\u25BE",blacktriangleleft:"\u25C2",bowtie:"\u22C8",boxdl:"\u2510",boxdr:"\u250C",boxminus:"\u229F",boxplus:"\u229E",boxtimes:"\u22A0",boxul:"\u2518",boxur:"\u2514",bsol:"\u005C",bull:"\u2022",cap:"\u2229",check:"\u2713",chi:"\u03C7",circ:"\u02C6",circeq:"\u2257",circlearrowleft:"\u21BA",circlearrowright:"\u21BB",circledR:"\u00AE",circledS:"\u24C8",circledast:"\u229B",circledcirc:"\u229A",circleddash:"\u229D",clubs:"\u2663",colon:"\u003A",comp:"\u2201",ctdot:"\u22EF",cuepr:"\u22DE",cuesc:"\u22DF",cularr:"\u21B6",cup:"\u222A",curarr:"\u21B7",curlyvee:"\u22CE",curlywedge:"\u22CF",dagger:"\u2020",daleth:"\u2138",ddarr:"\u21CA",deg:"\u00B0",delta:"\u03B4",digamma:"\u03DD",div:"\u00F7",divideontimes:"\u22C7",dot:"\u02D9",doteqdot:"\u2251",dotplus:"\u2214",dotsquare:"\u22A1",dtdot:"\u22F1",ecir:"\u2256",efDot:"\u2252",egs:"\u2A96",ell:"\u2113",els:"\u2A95",empty:"\u2205",epsi:"\u03B5",epsiv:"\u03F5",erDot:"\u2253",eta:"\u03B7",eth:"\u00F0",flat:"\u266D",fork:"\u22D4",frown:"\u2322",gEl:"\u2A8C",gamma:"\u03B3",gap:"\u2A86",gimel:"\u2137",gnE:"\u2269",gnap:"\u2A8A",gne:"\u2A88",gnsim:"\u22E7",gt:"\u003E",gtdot:"\u22D7",harrw:"\u21AD",hbar:"\u210F",hellip:"\u2026",hookleftarrow:"\u21A9",hookrightarrow:"\u21AA",imath:"\u0131",infin:"\u221E",intcal:"\u22BA",iota:"\u03B9",jmath:"\u0237",kappa:"\u03BA",kappav:"\u03F0",lEg:"\u2A8B",lambda:"\u03BB",lap:"\u2A85",larrlp:"\u21AB",larrtl:"\u21A2",lbrace:"\u007B",lbrack:"\u005B",le:"\u2264",leftleftarrows:"\u21C7",leftthreetimes:"\u22CB",lessdot:"\u22D6",lmoust:"\u23B0",lnE:"\u2268",lnap:"\u2A89",lne:"\u2A87",lnsim:"\u22E6",longmapsto:"\u27FC",looparrowright:"\u21AC",lowast:"\u2217",loz:"\u25CA",lt:"\u003C",ltimes:"\u22C9",ltri:"\u25C3",macr:"\u00AF",malt:"\u2720",mho:"\u2127",mu:"\u03BC",multimap:"\u22B8",nLeftarrow:"\u21CD",nLeftrightarrow:"\u21CE",nRightarrow:"\u21CF",nVDash:"\u22AF",nVdash:"\u22AE",natur:"\u266E",nearr:"\u2197",nharr:"\u21AE",nlarr:"\u219A",not:"\u00AC",nrarr:"\u219B",nu:"\u03BD",nvDash:"\u22AD",nvdash:"\u22AC",nwarr:"\u2196",omega:"\u03C9",omicron:"\u03BF",or:"\u2228",osol:"\u2298",period:"\u002E",phi:"\u03C6",phiv:"\u03D5",pi:"\u03C0",piv:"\u03D6",prap:"\u2AB7",precnapprox:"\u2AB9",precneqq:"\u2AB5",precnsim:"\u22E8",prime:"\u2032",psi:"\u03C8",rarrtl:"\u21A3",rbrace:"\u007D",rbrack:"\u005D",rho:"\u03C1",rhov:"\u03F1",rightrightarrows:"\u21C9",rightthreetimes:"\u22CC",ring:"\u02DA",rmoust:"\u23B1",rtimes:"\u22CA",rtri:"\u25B9",scap:"\u2AB8",scnE:"\u2AB6",scnap:"\u2ABA",scnsim:"\u22E9",sdot:"\u22C5",searr:"\u2198",sect:"\u00A7",sharp:"\u266F",sigma:"\u03C3",sigmav:"\u03C2",simne:"\u2246",smile:"\u2323",spades:"\u2660",sub:"\u2282",subE:"\u2AC5",subnE:"\u2ACB",subne:"\u228A",supE:"\u2AC6",supnE:"\u2ACC",supne:"\u228B",swarr:"\u2199",tau:"\u03C4",theta:"\u03B8",thetav:"\u03D1",tilde:"\u02DC",times:"\u00D7",triangle:"\u25B5",triangleq:"\u225C",upsi:"\u03C5",upuparrows:"\u21C8",veebar:"\u22BB",vellip:"\u22EE",weierp:"\u2118",xi:"\u03BE",yen:"\u00A5",zeta:"\u03B6",zigrarr:"\u21DD"};c.loadComplete("jax.js")})(MathJax.InputJax.MathML,MathJax.Hub.Browser);
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
 (function(i,b,e,g){var h;var j,a,d;var f="'Times New Roman',Times,STIXGeneral,serif";var m={".MJXp-script":{"font-size":".8em"},".MJXp-right":{"-webkit-transform-origin":"right","-moz-transform-origin":"right","-ms-transform-origin":"right","-o-transform-origin":"right","transform-origin":"right"},".MJXp-bold":{"font-weight":"bold"},".MJXp-italic":{"font-style":"italic"},".MJXp-scr":{"font-family":"MathJax_Script,"+f},".MJXp-frak":{"font-family":"MathJax_Fraktur,"+f},".MJXp-sf":{"font-family":"MathJax_SansSerif,"+f},".MJXp-cal":{"font-family":"MathJax_Caligraphic,"+f},".MJXp-mono":{"font-family":"MathJax_Typewriter,"+f},".MJXp-largeop":{"font-size":"150%"},".MJXp-largeop.MJXp-int":{"vertical-align":"-.2em"},".MJXp-math":{display:"inline-block","line-height":"1.2","text-indent":"0","font-family":f,"white-space":"nowrap","border-collapse":"collapse"},".MJXp-display":{display:"block","text-align":"center",margin:"1em 0"},".MJXp-math span":{display:"inline-block"},".MJXp-box":{display:"block!important","text-align":"center"},".MJXp-box:after":{content:'" "'},".MJXp-rule":{display:"block!important","margin-top":".1em"},".MJXp-char":{display:"block!important"},".MJXp-mo":{margin:"0 .15em"},".MJXp-mfrac":{margin:"0 .125em","vertical-align":".25em"},".MJXp-denom":{display:"inline-table!important",width:"100%"},".MJXp-denom > *":{display:"table-row!important"},".MJXp-surd":{"vertical-align":"top"},".MJXp-surd > *":{display:"block!important"},".MJXp-script-box > * ":{display:"table!important",height:"50%"},".MJXp-script-box > * > *":{display:"table-cell!important","vertical-align":"top"},".MJXp-script-box > *:last-child > *":{"vertical-align":"bottom"},".MJXp-script-box > * > * > *":{display:"block!important"},".MJXp-mphantom":{visibility:"hidden"},".MJXp-munderover, .MJXp-munder":{display:"inline-table!important"},".MJXp-over":{display:"inline-block!important","text-align":"center"},".MJXp-over > *":{display:"block!important"},".MJXp-munderover > *, .MJXp-munder > *":{display:"table-row!important"},".MJXp-mtable":{"vertical-align":".25em",margin:"0 .125em"},".MJXp-mtable > *":{display:"inline-table!important","vertical-align":"middle"},".MJXp-mtr":{display:"table-row!important"},".MJXp-mtd":{display:"table-cell!important","text-align":"center",padding:".5em 0 0 .5em"},".MJXp-mtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-mlabeledtr":{display:"table-row!important"},".MJXp-mlabeledtr > .MJXp-mtd:first-child":{"padding-left":0},".MJXp-mlabeledtr:first-child > .MJXp-mtd":{"padding-top":0},".MJXp-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"}};(function(){for(var n=0;n<10;n++){var o="scaleX(."+n+")";m[".MJXp-scale"+n]={"-webkit-transform":o,"-moz-transform":o,"-ms-transform":o,"-o-transform":o,transform:o}}})();var k=1000000;var c="V",l="H";g.Augment({settings:b.config.menuSettings,config:{styles:m},hideProcessedMath:false,maxStretchyParts:1000,Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var n=this.settings;if(n.scale){this.config.scale=n.scale}this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){j=MathJax.Extension.MathEvents.Event;a=MathJax.Extension.MathEvents.Touch;d=MathJax.Extension.MathEvents.Hover;this.ContextMenu=j.ContextMenu;this.Mousedown=j.AltContextMenu;this.Mouseover=d.Mouseover;this.Mouseout=d.Mouseout;this.Mousemove=d.Mousemove;var n=e.addElement(document.body,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;n.parentNode.removeChild(n);return i.Styles(this.config.styles,["InitializePHTML",this])},InitializePHTML:function(){},preTranslate:function(p){var s=p.jax[this.id],t,q=s.length,u,r,v,o,n;for(t=0;t<q;t++){u=s[t];if(!u.parentNode){continue}r=u.previousSibling;if(r&&String(r.className).match(/^MathJax(_PHTML)?(_Display)?( MathJax_Process(ing|ed))?$/)){r.parentNode.removeChild(r)}n=u.MathJax.elementJax;if(!n){continue}n.PHTML={display:(n.root.Get("display")==="block")};v=o=e.Element("span",{className:"MathJax_PHTML",id:n.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:j.Menu,onmousedown:j.Mousedown,onmouseover:j.Mouseover,onmouseout:j.Mouseout,onmousemove:j.Mousemove,onclick:j.Click,ondblclick:j.DblClick,onkeydown:j.Keydown,tabIndex:b.getTabOrder(n)});if(b.Browser.noContextMenu){v.ontouchstart=a.start;v.ontouchend=a.end}if(n.PHTML.display){o=e.Element("div",{className:"MathJax_PHTML_Display"});o.appendChild(v)}o.className+=" MathJax_Processing";u.parentNode.insertBefore(o,u)}},Translate:function(o,s){if(!o.parentNode){return}var n=o.MathJax.elementJax,r=n.root,p=document.getElementById(n.inputID+"-Frame"),t=(n.PHTML.display?p.parentNode:p);this.initPHTML(r,p);try{r.toPreviewHTML(p)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}throw q}t.className=t.className.split(/ /)[0];if(this.hideProcessedMath){t.className+=" MathJax_Processed";if(o.MathJax.preview){n.PHTML.preview=o.MathJax.preview;delete o.MathJax.preview}}},postTranslate:function(s){var o=s.jax[this.id];if(!this.hideProcessedMath){return}for(var q=0,n=o.length;q<n;q++){var p=o[q];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var r=p.MathJax.elementJax.PHTML;if(r.preview){r.preview.innerHTML="";p.MathJax.preview=r.preview;delete r.preview}}}},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_PHTML_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return b.getJaxFor(n)},getHoverSpan:function(n,o){return n.root.PHTMLspanElement()},getHoverBBox:function(n,q,r){var s=n.root.PHTML,p=n.PHTML.outerEm;var o={w:s.w*p,h:s.h*p,d:s.d*p};if(s.width){o.width=s.width}return o},Zoom:function(o,u,s,n,r){u.className="MathJax";this.idPostfix="-zoom";o.root.toPHTML(u,u);this.idPostfix="";u.style.position="absolute";if(!width){s.style.position="absolute"}var t=u.offsetWidth,q=u.offsetHeight,v=s.offsetHeight,p=s.offsetWidth;if(p===0){p=s.parentNode.offsetWidth}u.style.position=s.style.position="";return{Y:-j.getBBox(u).h,mW:p,mH:v,zW:t,zH:q}},initPHTML:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.PHTML.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.PHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},VARIANT:{bold:"MJXp-bold",italic:"MJXp-italic","bold-italic":"MJXp-bold MJXp-italic",script:"MJXp-scr","bold-script":"MJXp-scr MJXp-bold",fraktur:"MJXp-frak","bold-fraktur":"MJXp-frak MJXp-bold",monospace:"MJXp-mono","sans-serif":"MJXp-sf","-tex-caligraphic":"MJXp-cal"},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.08,medium:0.1,thick:0.15,infinity:k},TeX:{x_height:0.430554},pxPerInch:72,em:16,DELIMITERS:{"(":{dir:c},"{":{dir:c,w:0.58},"[":{dir:c},"|":{dir:c,w:0.275},")":{dir:c},"}":{dir:c,w:0.58},"]":{dir:c},"/":{dir:c},"\\":{dir:c},"\u2223":{dir:c,w:0.275},"\u2225":{dir:c,w:0.55},"\u230A":{dir:c,w:0.5},"\u230B":{dir:c,w:0.5},"\u2308":{dir:c,w:0.5},"\u2309":{dir:c,w:0.5},"\u27E8":{dir:c,w:0.5},"\u27E9":{dir:c,w:0.5},"\u2191":{dir:c,w:0.65},"\u2193":{dir:c,w:0.65},"\u21D1":{dir:c,w:0.75},"\u21D3":{dir:c,w:0.75},"\u2195":{dir:c,w:0.65},"\u21D5":{dir:c,w:0.75},"\u27EE":{dir:c,w:0.275},"\u27EF":{dir:c,w:0.275},"\u23B0":{dir:c,w:0.6},"\u23B1":{dir:c,w:0.6}},REMAPACCENT:{"\u20D7":"\u2192","'":"\u02CB","`":"\u02CA",".":"\u02D9","^":"\u02C6","-":"\u02C9","~":"\u02DC","\u00AF":"\u02C9","\u00B0":"\u02DA","\u00B4":"\u02CA","\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0305":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030C":"\u02C7"},REMAPACCENTUNDER:{},length2em:function(r,p){if(typeof(r)!=="string"){r=r.toString()}if(r===""){return""}if(r===h.SIZE.NORMAL){return 1}if(r===h.SIZE.BIG){return 2}if(r===h.SIZE.SMALL){return 0.71}if(this.MATHSPACE[r]){return this.MATHSPACE[r]}var o=r.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(o[1]||"1"),q=o[2];if(p==null){p=1}if(q==="em"){return n}if(q==="ex"){return n*this.TeX.x_height}if(q==="%"){return n/100*p}if(q==="px"){return n/this.em}if(q==="pt"){return n/10}if(q==="pc"){return n*1.2}if(q==="in"){return n*this.pxPerInch/this.em}if(q==="cm"){return n*this.pxPerInch/this.em/2.54}if(q==="mm"){return n*this.pxPerInch/this.em/25.4}if(q==="mu"){return n/18}return n*p},Em:function(n){if(Math.abs(n)<0.001){return"0em"}return(n.toFixed(3).replace(/\.?0+$/,""))+"em"},arrayEntry:function(n,o){return n[Math.max(0,Math.min(o,n.length-1))]}});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){h=MathJax.ElementJax.mml;h.mbase.Augment({toPreviewHTML:function(o,n){return this.PHTMLdefaultSpan(o,n)},PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q},PHTMLaddChild:function(p,o,n){var q=this.data[o];if(q){if(n.childSpans){p=e.addElement(p,"span",{className:n.className})}q.toPreviewHTML(p);if(!n.noBBox){this.PHTML.w+=q.PHTML.w+q.PHTML.l+q.PHTML.r;if(q.PHTML.h>this.PHTML.h){this.PHTML.h=q.PHTML.h}if(q.PHTML.d>this.PHTML.d){this.PHTML.d=q.PHTML.d}if(q.PHTML.t>this.PHTML.t){this.PHTML.t=q.PHTML.t}if(q.PHTML.b>this.PHTML.b){this.PHTML.b=q.PHTML.b}}}else{if(n.forceChild){e.addElement(p,"span")}}},PHTMLstretchChild:function(q,p,s){var r=this.data[q];if(r&&r.PHTMLcanStretch("Vertical",p,s)){var t=this.PHTML,o=r.PHTML,n=o.w;r.PHTMLstretchV(p,s);t.w+=o.w-n;if(o.h>t.h){t.h=o.h}if(o.d>t.d){t.d=o.d}}},PHTMLcreateSpan:function(n){if(!this.PHTML){this.PHTML={}}this.PHTML={w:0,h:0,d:0,l:0,r:0,t:0,b:0};if(this.inferred){return n}if(this.type==="mo"&&this.data.join("")==="\u222B"){g.lastIsInt=true}else{if(this.type!=="mspace"||this.width!=="negativethinmathspace"){g.lastIsInt=false}}if(!this.PHTMLspanID){this.PHTMLspanID=g.GetID()}var o=(this.id||"MJXp-Span-"+this.PHTMLspanID);return e.addElement(n,"span",{className:"MJXp-"+this.type,id:o})},PHTMLspanElement:function(){if(!this.PHTMLspanID){return null}return document.getElementById(this.id||"MJXp-Span-"+this.PHTMLspanID)},PHTMLhandleToken:function(o){var n=this.getValues("mathvariant");if(n.mathvariant!==h.VARIANT.NORMAL){o.className+=" "+g.VARIANT[n.mathvariant]}},PHTMLhandleStyle:function(n){if(this.style){n.style.cssText=this.style}},PHTMLhandleColor:function(n){if(this.mathcolor){n.style.color=this.mathcolor}if(this.mathbackground){n.style.backgroundColor=this.mathbackground}},PHTMLhandleScriptlevel:function(n){var o=this.Get("scriptlevel");if(o){n.className+=" MJXp-script"}},PHTMLhandleText:function(y,A){var v,p;var z=0,o=0,q=0;for(var s=0,r=A.length;s<r;s++){p=A.charCodeAt(s);v=A.charAt(s);if(p>=55296&&p<56319){s++;p=(((p-55296)<<10)+(A.charCodeAt(s)-56320))+65536}var t=0.7,u=0.22,x=0.5;if(p<127){if(v.match(/[A-Za-ehik-or-xz0-9]/)){u=0}if(v.match(/[A-HK-Z]/)){x=0.67}else{if(v.match(/[IJ]/)){x=0.36}}if(v.match(/[acegm-su-z]/)){t=0.45}else{if(v.match(/[ij]/)){t=0.75}}if(v.match(/[ijlt]/)){x=0.28}}if(g.DELIMITERS[v]){x=g.DELIMITERS[v].w||0.4}if(t>z){z=t}if(u>o){o=u}q+=x}if(!this.CHML){this.PHTML={}}this.PHTML={h:0.9,d:0.3,w:q,l:0,r:0,t:z,b:o};e.addText(y,A)},PHTMLbboxFor:function(o){if(this.data[o]&&this.data[o].PHTML){return this.data[o].PHTML}return{w:0,h:0,d:0,l:0,r:0,t:0,b:0}},PHTMLcanStretch:function(q,o,p){if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){return n.PHTMLcanStretch(q,o,p)}}return false},PHTMLstretchV:function(n,o){},PHTMLstretchH:function(n){},CoreParent:function(){var n=this;while(n&&n.isEmbellished()&&n.CoreMO()===this&&!n.isa(h.math)){n=n.Parent()}return n},CoreText:function(n){if(!n){return""}if(n.isEmbellished()){return n.CoreMO().data.join("")}while((n.isa(h.mrow)||n.isa(h.TeXAtom)||n.isa(h.mstyle)||n.isa(h.mphantom))&&n.data.length===1&&n.data[0]){n=n.data[0]}if(!n.isToken){return""}else{return n.data.join("")}}});h.chars.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.entity.Augment({toPreviewHTML:function(n){var o=this.toString().replace(/[\u2061-\u2064]/g,"");this.PHTMLhandleText(n,o)}});h.math.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);if(this.Get("display")==="block"){n.className+=" MJXp-display"}return n}});h.mo.Augment({toPreviewHTML:function(o){o=this.PHTMLdefaultSpan(o);this.PHTMLadjustAccent(o);var n=this.getValues("lspace","rspace","scriptlevel","displaystyle","largeop");if(n.scriptlevel===0){this.PHTML.l=g.length2em(n.lspace);this.PHTML.r=g.length2em(n.rspace);o.style.marginLeft=g.Em(this.PHTML.l);o.style.marginRight=g.Em(this.PHTML.r)}else{this.PHTML.l=0.15;this.PHTML.r=0.1}if(n.displaystyle&&n.largeop){var p=e.Element("span",{className:"MJXp-largeop"});p.appendChild(o.firstChild);o.appendChild(p);this.PHTML.h*=1.2;this.PHTML.d*=1.2;if(this.data.join("")==="\u222B"){p.className+=" MJXp-int"}}return o},PHTMLadjustAccent:function(p){var o=this.CoreParent();if(o&&o.isa(h.munderover)&&this.CoreText(o.data[o.base]).length===1){var q=o.data[o.over],n=o.data[o.under];var s=this.data.join(""),r;if(q&&this===q.CoreMO()&&o.Get("accent")){r=g.REMAPACCENT[s]}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){r=g.REMAPACCENTUNDER[s]}}if(r){s=p.innerHTML=r}if(s.match(/[\u02C6-\u02DC\u00A8]/)){this.PHTML.acc=-0.52}else{if(s==="\u2192"){this.PHTML.acc=-0.15;this.PHTML.vec=true}}}},PHTMLcanStretch:function(q,o,p){if(!this.Get("stretchy")){return false}var r=this.data.join("");if(r.length>1){return false}r=g.DELIMITERS[r];var n=(r&&r.dir===q.substr(0,1));if(n){n=(this.PHTML.h!==o||this.PHTML.d!==p||(this.Get("minsize",true)||this.Get("maxsize",true)))}return n},PHTMLstretchV:function(p,u){var o=this.PHTMLspanElement(),t=this.PHTML;var n=this.getValues("symmetric","maxsize","minsize");if(n.symmetric){l=2*Math.max(p-0.25,u+0.25)}else{l=p+u}n.maxsize=g.length2em(n.maxsize,t.h+t.d);n.minsize=g.length2em(n.minsize,t.h+t.d);l=Math.max(n.minsize,Math.min(n.maxsize,l));var s=l/(t.h+t.d-0.3);var q=e.Element("span",{style:{"font-size":g.Em(s)}});if(s>1.25){var r=Math.ceil(1.25/s*10);q.className="MJXp-right MJXp-scale"+r;q.style.marginLeft=g.Em(t.w*(r/10-1)+0.07);t.w*=s*r/10}q.appendChild(o.firstChild);o.appendChild(q);if(n.symmetric){o.style.verticalAlign=g.Em(0.25*(1-s))}}});h.mspace.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var o=this.getValues("height","depth","width");var n=g.length2em(o.width),p=g.length2em(o.height),s=g.length2em(o.depth);var r=this.PHTML;r.w=n;r.h=p;r.d=s;if(n<0){if(!g.lastIsInt){q.style.marginLeft=g.Em(n)}n=0}q.style.width=g.Em(n);q.style.height=g.Em(p+s);if(s){q.style.verticalAlign=g.Em(-s)}return q}});h.mpadded.Augment({toPreviewHTML:function(u){u=this.PHTMLdefaultSpan(u,{childSpans:true,className:"MJXp-box",forceChild:true});var o=u.firstChild;var v=this.getValues("width","height","depth","lspace","voffset");var s=this.PHTMLdimen(v.lspace);var q=0,n=0,t=s.len,r=-s.len,p=0;if(v.width!==""){s=this.PHTMLdimen(v.width,"w",0);if(s.pm){r+=s.len}else{u.style.width=g.Em(s.len)}}if(v.height!==""){s=this.PHTMLdimen(v.height,"h",0);if(!s.pm){q+=-this.PHTMLbboxFor(0).h}q+=s.len}if(v.depth!==""){s=this.PHTMLdimen(v.depth,"d",0);if(!s.pm){n+=-this.PHTMLbboxFor(0).d;p+=-s.len}n+=s.len}if(v.voffset!==""){s=this.PHTMLdimen(v.voffset);q-=s.len;n+=s.len;p+=s.len}if(q){o.style.marginTop=g.Em(q)}if(n){o.style.marginBottom=g.Em(n)}if(t){o.style.marginLeft=g.Em(t)}if(r){o.style.marginRight=g.Em(r)}if(p){u.style.verticalAlign=g.Em(p)}return u},PHTMLdimen:function(q,r,n){if(n==null){n=-k}q=String(q);var o=q.match(/width|height|depth/);var p=(o?this.PHTML[o[0].charAt(0)]:(r?this.PHTML[r]:0));return{len:g.length2em(q,p)||0,pm:!!q.match(/^[-+]/)}}});h.munderover.Augment({toPreviewHTML:function(r){var t=this.getValues("displaystyle","accent","accentunder","align");var n=this.data[this.base];if(!t.displaystyle&&n!=null&&(n.movablelimits||n.CoreMO().Get("movablelimits"))){r=h.msubsup.prototype.toPreviewHTML.call(this,r);r.className=r.className.replace(/munderover/,"msubsup");return r}r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"",noBBox:true});var p=this.PHTMLbboxFor(this.over),v=this.PHTMLbboxFor(this.under),u=this.PHTMLbboxFor(this.base),s=this.PHTML,o=p.acc;if(this.data[this.over]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=p.l=r.lastChild.firstChild.style.marginRight=p.r=0}var q=e.Element("span",{},[["span",{className:"MJXp-over"}]]);q.firstChild.appendChild(r.lastChild);if(r.childNodes.length>(this.data[this.under]?1:0)){q.firstChild.appendChild(r.firstChild)}this.data[this.over].PHTMLhandleScriptlevel(q.firstChild.firstChild);if(o!=null){if(p.vec){q.firstChild.firstChild.firstChild.style.fontSize="60%";p.h*=0.6;p.d*=0.6;p.w*=0.6}o=o-p.d+0.1;if(u.t!=null){o+=u.t-u.h}q.firstChild.firstChild.style.marginBottom=g.Em(o)}if(r.firstChild){r.insertBefore(q,r.firstChild)}else{r.appendChild(q)}}if(this.data[this.under]){if(r.lastChild.firstChild){r.lastChild.firstChild.style.marginLeft=v.l=r.lastChild.firstChild.marginRight=v.r=0}this.data[this.under].PHTMLhandleScriptlevel(r.lastChild)}s.w=Math.max(0.8*p.w,0.8*v.w,u.w);s.h=0.8*(p.h+p.d+(o||0))+u.h;s.d=u.d+0.8*(v.h+v.d);return r}});h.msubsup.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{noBBox:true});if(!this.data[this.base]){if(q.firstChild){q.insertBefore(e.Element("span"),q.firstChild)}else{q.appendChild(e.Element("span"))}}var s=this.data[this.base],p=this.data[this.sub],n=this.data[this.sup];if(!s){s={bbox:{h:0.8,d:0.2}}}q.firstChild.style.marginRight=".05em";var o=Math.max(0.4,s.PHTML.h-0.4),u=Math.max(0.2,s.PHTML.d+0.1);var t=this.PHTML;if(n&&p){var r=e.Element("span",{className:"MJXp-script-box",style:{height:g.Em(o+n.PHTML.h*0.8+u+p.PHTML.d*0.8),"vertical-align":g.Em(-u-p.PHTML.d*0.8)}},[["span",{},[["span",{},[["span",{style:{"margin-bottom":g.Em(-(n.PHTML.d-0.05))}}]]]]],["span",{},[["span",{},[["span",{style:{"margin-top":g.Em(-(n.PHTML.h-0.05))}}]]]]]]);p.PHTMLhandleScriptlevel(r.firstChild);n.PHTMLhandleScriptlevel(r.lastChild);r.firstChild.firstChild.firstChild.appendChild(q.lastChild);r.lastChild.firstChild.firstChild.appendChild(q.lastChild);q.appendChild(r);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+Math.max(n.PHTML.w,p.PHTML.w)+0.07}else{if(n){q.lastChild.style.verticalAlign=g.Em(o);n.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,n.PHTML.h*0.8+o);t.d=Math.max(s.PHTML.d,n.PHTML.d*0.8-o);t.w=s.PHTML.w+n.PHTML.w+0.07}else{if(p){q.lastChild.style.verticalAlign=g.Em(-u);p.PHTMLhandleScriptlevel(q.lastChild);t.h=Math.max(s.PHTML.h,p.PHTML.h*0.8-u);t.d=Math.max(s.PHTML.d,p.PHTML.d*0.8+u);t.w=s.PHTML.w+p.PHTML.w+0.07}}}return q}});h.mfrac.Augment({toPreviewHTML:function(r){r=this.PHTMLdefaultSpan(r,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var o=this.getValues("linethickness","displaystyle");if(!o.displaystyle){if(this.data[0]){this.data[0].PHTMLhandleScriptlevel(r.firstChild)}if(this.data[1]){this.data[1].PHTMLhandleScriptlevel(r.lastChild)}}var n=e.Element("span",{className:"MJXp-box"},[["span",{className:"MJXp-denom"},[["span",{},[["span",{className:"MJXp-rule",style:{height:"1em"}}]]],["span"]]]]);n.firstChild.lastChild.appendChild(r.lastChild);r.appendChild(n);var s=this.PHTMLbboxFor(0),p=this.PHTMLbboxFor(1),v=this.PHTML;v.w=Math.max(s.w,p.w)*0.8;v.h=s.h+s.d+0.1+0.25;v.d=p.h+p.d-0.25;v.l=v.r=0.125;o.linethickness=Math.max(0,g.length2em(o.linethickness||"0",0));if(o.linethickness){var u=n.firstChild.firstChild.firstChild;var q=g.Em(o.linethickness);u.style.borderTop="none";u.style.borderBottom=(o.linethickness<0.15?"1px":q)+" solid";u.style.margin=q+" 0";q=o.linethickness;n.style.marginTop=g.Em(3*q-1.2);r.style.verticalAlign=g.Em(1.5*q+0.1);v.h+=1.5*q-0.1;v.d+=1.5*q}else{n.style.marginTop="-.7em"}return r}});h.msqrt.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});this.PHTMLlayoutRoot(n,n.firstChild);return n},PHTMLlayoutRoot:function(u,n){var v=this.PHTMLbboxFor(0);var q=Math.ceil((v.h+v.d+0.14)*100),w=g.Em(14/q);var r=e.Element("span",{className:"MJXp-surd"},[["span",{style:{"font-size":q+"%","margin-top":w}},["\u221A"]]]);var s=e.Element("span",{className:"MJXp-root"},[["span",{className:"MJXp-rule",style:{"border-top":".08em solid"}}]]);var p=(1.2/2.2)*q/100;if(q>150){var o=Math.ceil(150/q*10);r.firstChild.className="MJXp-right MJXp-scale"+o;r.firstChild.style.marginLeft=g.Em(p*(o/10-1)/q*100);p=p*o/10;s.firstChild.style.borderTopWidth=g.Em(0.08/Math.sqrt(o/10))}s.appendChild(n);u.appendChild(r);u.appendChild(s);this.PHTML.h=v.h+0.18;this.PHTML.d=v.d;this.PHTML.w=v.w+p;return u}});h.mroot.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q,{childSpans:true,className:"MJXp-box",forceChild:true,noBBox:true});var p=this.PHTMLbboxFor(1),n=q.removeChild(q.lastChild);var t=this.PHTMLlayoutRoot(e.Element("span"),q.firstChild);n.className="MJXp-script";var u=parseInt(t.firstChild.firstChild.style.fontSize);var o=0.55*(u/120)+p.d*0.8,s=-0.6*(u/120);if(u>150){s*=0.95*Math.ceil(150/u*10)/10}n.style.marginRight=g.Em(s);n.style.verticalAlign=g.Em(o);if(-s>p.w*0.8){n.style.marginLeft=g.Em(-s-p.w*0.8)}q.appendChild(n);q.appendChild(t);this.PHTML.w+=Math.max(0,p.w*0.8+s);this.PHTML.h=Math.max(this.PHTML.h,p.h*0.8+o);return q},PHTMLlayoutRoot:h.msqrt.prototype.PHTMLlayoutRoot});h.mfenced.Augment({toPreviewHTML:function(q){q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);this.addFakeNodes();this.PHTMLaddChild(q,"open",{});for(var p=0,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,"sep"+p,{});this.PHTMLaddChild(q,p,{})}this.PHTMLaddChild(q,"close",{});var o=this.PHTML.h,r=this.PHTML.d;this.PHTMLstretchChild("open",o,r);for(p=0,n=this.data.length;p<n;p++){this.PHTMLstretchChild("sep"+p,o,r);this.PHTMLstretchChild(p,o,r)}this.PHTMLstretchChild("close",o,r);return q}});h.mrow.Augment({toPreviewHTML:function(q){q=this.PHTMLdefaultSpan(q);var p=this.PHTML.h,r=this.PHTML.d;for(var o=0,n=this.data.length;o<n;o++){this.PHTMLstretchChild(o,p,r)}return q}});h.mstyle.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);this.PHTMLhandleScriptlevel(n);return n}});h.TeXAtom.Augment({toPreviewHTML:function(n){n=this.PHTMLdefaultSpan(n);n.className="MJXp-mrow";return n}});h.mtable.Augment({toPreviewHTML:function(E){E=this.PHTMLdefaultSpan(E,{noBBox:true});var r=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width");var u=MathJax.Hub.SplitList,F,A,D,z;var N=u(r.columnspacing),w=u(r.rowspacing),L=u(r.columnalign),t=u(r.rowalign);for(F=0,A=N.length;F<A;F++){N[F]=g.length2em(N[F])}for(F=0,A=w.length;F<A;F++){w[F]=g.length2em(w[F])}var K=e.Element("span");while(E.firstChild){K.appendChild(E.firstChild)}E.appendChild(K);var y=0,s=0;for(F=0,A=this.data.length;F<A;F++){var v=this.data[F];if(v){var J=g.arrayEntry(w,F-1),C=g.arrayEntry(t,F);var x=v.PHTML,q=v.PHTMLspanElement();q.style.verticalAlign=C;var B=(v.type==="mlabeledtr"?1:0);for(D=0,z=v.data.length;D<z-B;D++){var p=v.data[D+B];if(p){var M=g.arrayEntry(N,D-1),G=g.arrayEntry(L,D);var I=p.PHTMLspanElement();if(D){x.w+=M;I.style.paddingLeft=g.Em(M)}if(F){I.style.paddingTop=g.Em(J)}I.style.textAlign=G}}y+=x.h+x.d;if(F){y+=J}if(x.w>s){s=x.w}}}var o=this.PHTML;o.w=s;o.h=y/2+0.25;o.d=y/2-0.25;o.l=o.r=0.125;return E}});h.mlabeledtr.Augment({PHTMLdefaultSpan:function(q,o){if(!o){o={}}q=this.PHTMLcreateSpan(q);this.PHTMLhandleStyle(q);this.PHTMLhandleColor(q);if(this.isToken){this.PHTMLhandleToken(q)}for(var p=1,n=this.data.length;p<n;p++){this.PHTMLaddChild(q,p,o)}return q}});h.semantics.Augment({toPreviewHTML:function(n){n=this.PHTMLcreateSpan(n);if(this.data[0]){this.data[0].toPreviewHTML(n);MathJax.Hub.Insert(this.data[0].PHTML||{},this.PHTML)}return n}});h.annotation.Augment({toPreviewHTML:function(n){}});h["annotation-xml"].Augment({toPreviewHTML:function(n){}});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",g,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(b.config.menuSettings.zoom!=="None"){i.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.PreviewHTML);
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_SVG.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);MathJax.Ajax.loadComplete("[MathJax]/config/TeX-MML-AM_SVG.js");
diff --git a/config/default.js b/config/default.js
index cb92502e65..27080d6cbc 100644
--- a/config/default.js
+++ b/config/default.js
@@ -12,7 +12,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/config/local/local.js b/config/local/local.js
index 8aad924bb4..3cfee3b756 100644
--- a/config/local/local.js
+++ b/config/local/local.js
@@ -12,7 +12,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/extensions/AssistiveMML.js b/extensions/AssistiveMML.js
index 77c51fea43..e1c5ef064e 100644
--- a/extensions/AssistiveMML.js
+++ b/extensions/AssistiveMML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/AssistiveMML.js
+ *  /MathJax-v2/extensions/AssistiveMML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.6",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(l){var g=l.jax.length,h,i,n,j;while(l.i<g){h=l.jax[l.i];n=document.getElementById(h.inputID+"-Frame");if(h.outputJax!=="NativeMML"&&h.outputJax!=="PlainSource"&&n&&!n.getAttribute("data-mathml")){try{i=h.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(k){if(!k.restart){throw k}return MathJax.Callback.After(["HandleMML",this,l],k.restart)}n.setAttribute("data-mathml",i);j=f.addElement(n,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(h.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{j.innerHTML=i}catch(k){}n.style.position="relative";n.setAttribute("role","presentation");n.firstChild.setAttribute("aria-hidden","true");j.setAttribute("role","presentation")}l.i++}l.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
+(function(a,e,b,f){var c=b.config.menuSettings;var d=MathJax.Extension.AssistiveMML={version:"2.7.9",config:b.CombineConfig("AssistiveMML",{disabled:false,styles:{".MJX_Assistive_MathML":{position:"absolute!important",top:0,left:0,clip:(b.Browser.isMSIE&&(document.documentMode||0)<8?"rect(1px 1px 1px 1px)":"rect(1px, 1px, 1px, 1px)"),padding:"1px 0 0 0!important",border:"0!important",height:"1px!important",width:"1px!important",overflow:"hidden!important",display:"block!important","-webkit-touch-callout":"none","-webkit-user-select":"none","-khtml-user-select":"none","-moz-user-select":"none","-ms-user-select":"none","user-select":"none"},".MJX_Assistive_MathML.MJX_Assistive_MathML_Block":{width:"100%!important"}}}),Config:function(){if(!this.config.disabled&&c.assistiveMML==null){b.Config({menuSettings:{assistiveMML:true}})}a.Styles(this.config.styles);b.Register.MessageHook("End Math",function(g){if(c.assistiveMML){return d.AddAssistiveMathML(g[1])}})},AddAssistiveMathML:function(g){var h={jax:b.getAllJax(g),i:0,callback:MathJax.Callback({})};this.HandleMML(h);return h.callback},RemoveAssistiveMathML:function(k){var h=b.getAllJax(k),l;for(var j=0,g=h.length;j<g;j++){l=document.getElementById(h[j].inputID+"-Frame");if(l&&l.getAttribute("data-mathml")){l.removeAttribute("data-mathml");if(l.lastChild&&l.lastChild.className.match(/MJX_Assistive_MathML/)){l.removeChild(l.lastChild)}}}},HandleMML:function(n){var h=n.jax.length,i,j,o,k;var g=MathJax.ElementJax.mml;g.copyAttributes.id=1;while(n.i<h){i=n.jax[n.i];o=document.getElementById(i.inputID+"-Frame");if(i.outputJax!=="NativeMML"&&i.outputJax!=="PlainSource"&&o&&!o.getAttribute("data-mathml")){try{j=i.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"")}catch(l){g.copyAttributes.id=true;if(!l.restart){throw l}return MathJax.Callback.After(["HandleMML",this,n],l.restart)}o.setAttribute("data-mathml",j);k=f.addElement(o,"span",{isMathJax:true,unselectable:"on",className:"MJX_Assistive_MathML"+(i.root.Get("display")==="block"?" MJX_Assistive_MathML_Block":"")});try{k.innerHTML=j}catch(l){}o.style.position="relative";o.setAttribute("role","presentation");o.firstChild.setAttribute("aria-hidden","true");k.setAttribute("role","presentation")}n.i++}g.copyAttributes.id=true;n.callback()}};b.Startup.signal.Post("AssistiveMML Ready")})(MathJax.Ajax,MathJax.Callback,MathJax.Hub,MathJax.HTML);MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/AssistiveMML.js"],function(){MathJax.Hub.Register.StartupHook("End Config",["Config",MathJax.Extension.AssistiveMML])});
diff --git a/extensions/CHTML-preview.js b/extensions/CHTML-preview.js
index bd60209387..8a02502e44 100644
--- a/extensions/CHTML-preview.js
+++ b/extensions/CHTML-preview.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/CHTML-preview.js
+ *  /MathJax-v2/extensions/CHTML-preview.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/extensions/FontWarnings.js b/extensions/FontWarnings.js
index bbfec1484c..489bcf6512 100644
--- a/extensions/FontWarnings.js
+++ b/extensions/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/FontWarnings.js
+ *  /MathJax-v2/extensions/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(b,d){var i="2.7.6";var a="http://www.stixfonts.org/";var f="https://github.com/mathjax/MathJax/tree/master/fonts/HTML-CSS/TeX/otf";var h=b.CombineConfig("FontWarnings",{messageStyle:{position:"fixed",bottom:"4em",left:"3em",width:"40em",border:"3px solid #880000","background-color":"#E0E0E0",color:"black",padding:"1em","font-size":"small","white-space":"normal","border-radius":".75em","-webkit-border-radius":".75em","-moz-border-radius":".75em","-khtml-border-radius":".75em","box-shadow":"4px 4px 10px #AAAAAA","-webkit-box-shadow":"4px 4px 10px #AAAAAA","-moz-box-shadow":"4px 4px 10px #AAAAAA","-khtml-box-shadow":"4px 4px 10px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=3, OffY=3, Color='gray', Positive='true')"},Message:{webFont:[["closeBox"],["webFont","MathJax is using web-based fonts to display the mathematics on this page.  These take time to download, so the page would render faster if you installed math fonts directly in your system's font folder."],["fonts"]],imageFonts:[["closeBox"],["imageFonts","MathJax is using its image fonts rather than local or web-based fonts. This will render slower than usual, and the mathematics may not print at the full resolution of your printer."],["fonts"],["webFonts"]],noFonts:[["closeBox"],["noFonts","MathJax is unable to locate a font to use to display its mathematics, and image fonts are not available, so it is falling back on generic unicode characters in hopes that your browser will be able to display them.  Some characters may not show up properly, or possibly not at all."],["fonts"],["webFonts"]]},HTML:{closeBox:[["div",{style:{position:"absolute",overflow:"hidden",top:".1em",right:".1em",border:"1px outset",width:"1em",height:"1em","text-align":"center",cursor:"pointer","background-color":"#EEEEEE",color:"#606060","border-radius":".5em","-webkit-border-radius":".5em","-moz-border-radius":".5em","-khtml-border-radius":".5em"},onclick:function(){if(c.div&&c.fade===0){if(c.timer){clearTimeout(c.timer)}c.div.style.display="none"}}},[["span",{style:{position:"relative",bottom:".2em"}},["x"]]]]],webFonts:[["p"],["webFonts","Most modern browsers allow for fonts to be downloaded over the web. Updating to a more recent version of your browser (or changing browsers) could improve the quality of the mathematics on this page."]],fonts:[["p"],["fonts","MathJax can use either the [STIX fonts](%1) or the [MathJax TeX fonts](%2).  Download and install one of those fonts to improve your MathJax experience.",a,f]],STIXfonts:[["p"],["STIXPage","This page is designed to use the [STIX fonts](%1).  Download and install those fonts to improve your MathJax experience.",a]],TeXfonts:[["p"],["TeXPage","This page is designed to use the [MathJax TeX fonts](%1).  Download and install those fonts to improve your MathJax experience.",f]]},removeAfter:12*1000,fadeoutSteps:10,fadeoutTime:1.5*1000});if(MathJax.Hub.Browser.isIE9&&document.documentMode>=9){delete h.messageStyle.filter}var c={div:null,fade:0};var e=function(m){if(c.div){return}var j=MathJax.OutputJax["HTML-CSS"],n=document.body;if(b.Browser.isMSIE){if(h.messageStyle.position==="fixed"){MathJax.Message.Init();n=document.getElementById("MathJax_MSIE_Frame")||n;if(n!==document.body){h.messageStyle.position="absolute"}}}else{delete h.messageStyle.filter}h.messageStyle.maxWidth=(document.body.clientWidth-75)+"px";var k=0;while(k<m.length){if(MathJax.Object.isArray(m[k])){if(m[k].length===1&&h.HTML[m[k][0]]){m.splice.apply(m,[k,1].concat(h.HTML[m[k][0]]))}else{if(typeof m[k][1]==="string"){var l=MathJax.Localization.lookupPhrase(["FontWarnings",m[k][0]],m[k][1]);l=MathJax.Localization.processMarkdown(l,m[k].slice(2),"FontWarnings");m.splice.apply(m,[k,1].concat(l));k+=l.length}else{k++}}}else{k++}}c.div=j.addElement(n,"div",{id:"MathJax_FontWarning",style:h.messageStyle},m);MathJax.Localization.setCSS(c.div);if(h.removeAfter){b.Register.StartupHook("End",function(){c.timer=setTimeout(g,h.removeAfter)})}d.Cookie.Set("fontWarn",{warned:true})};var g=function(){c.fade++;if(c.timer){delete c.timer}if(c.fade<h.fadeoutSteps){var j=1-c.fade/h.fadeoutSteps;c.div.style.opacity=j;c.div.style.filter="alpha(opacity="+Math.floor(100*j)+")";setTimeout(g,h.fadeoutTime/h.fadeoutSteps)}else{c.div.style.display="none"}};if(!d.Cookie.Get("fontWarn").warned){b.Startup.signal.Interest(function(m){if(m.match(/HTML-CSS Jax - /)&&!c.div){var j=MathJax.OutputJax["HTML-CSS"],n=j.config.availableFonts,l;var k=(n&&n.length);if(!k){h.HTML.fonts=[""]}else{if(n.length===1){h.HTML.fonts=h.HTML[n[0]+"fonts"]}}if(j.allowWebFonts){h.HTML.webfonts=[""]}if(m.match(/- Web-Font/)){if(k){l="webFont"}}else{if(m.match(/- using image fonts/)){l="imageFonts"}else{if(m.match(/- no valid font/)){l="noFonts"}}}if(l&&h.Message[l]){MathJax.Localization.loadDomain("FontWarnings",[e,h.Message[l]])}}})}})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/FontWarnings.js");
+(function(b,d){var i="2.7.9";var a="http://www.stixfonts.org/";var f="https://github.com/mathjax/MathJax/tree/master/fonts/HTML-CSS/TeX/otf";var h=b.CombineConfig("FontWarnings",{messageStyle:{position:"fixed",bottom:"4em",left:"3em",width:"40em",border:"3px solid #880000","background-color":"#E0E0E0",color:"black",padding:"1em","font-size":"small","white-space":"normal","border-radius":".75em","-webkit-border-radius":".75em","-moz-border-radius":".75em","-khtml-border-radius":".75em","box-shadow":"4px 4px 10px #AAAAAA","-webkit-box-shadow":"4px 4px 10px #AAAAAA","-moz-box-shadow":"4px 4px 10px #AAAAAA","-khtml-box-shadow":"4px 4px 10px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=3, OffY=3, Color='gray', Positive='true')"},Message:{webFont:[["closeBox"],["webFont","MathJax is using web-based fonts to display the mathematics on this page.  These take time to download, so the page would render faster if you installed math fonts directly in your system's font folder."],["fonts"]],imageFonts:[["closeBox"],["imageFonts","MathJax is using its image fonts rather than local or web-based fonts. This will render slower than usual, and the mathematics may not print at the full resolution of your printer."],["fonts"],["webFonts"]],noFonts:[["closeBox"],["noFonts","MathJax is unable to locate a font to use to display its mathematics, and image fonts are not available, so it is falling back on generic unicode characters in hopes that your browser will be able to display them.  Some characters may not show up properly, or possibly not at all."],["fonts"],["webFonts"]]},HTML:{closeBox:[["div",{style:{position:"absolute",overflow:"hidden",top:".1em",right:".1em",border:"1px outset",width:"1em",height:"1em","text-align":"center",cursor:"pointer","background-color":"#EEEEEE",color:"#606060","border-radius":".5em","-webkit-border-radius":".5em","-moz-border-radius":".5em","-khtml-border-radius":".5em"},onclick:function(){if(c.div&&c.fade===0){if(c.timer){clearTimeout(c.timer)}c.div.style.display="none"}}},[["span",{style:{position:"relative",bottom:".2em"}},["x"]]]]],webFonts:[["p"],["webFonts","Most modern browsers allow for fonts to be downloaded over the web. Updating to a more recent version of your browser (or changing browsers) could improve the quality of the mathematics on this page."]],fonts:[["p"],["fonts","MathJax can use either the [STIX fonts](%1) or the [MathJax TeX fonts](%2).  Download and install one of those fonts to improve your MathJax experience.",a,f]],STIXfonts:[["p"],["STIXPage","This page is designed to use the [STIX fonts](%1).  Download and install those fonts to improve your MathJax experience.",a]],TeXfonts:[["p"],["TeXPage","This page is designed to use the [MathJax TeX fonts](%1).  Download and install those fonts to improve your MathJax experience.",f]]},removeAfter:12*1000,fadeoutSteps:10,fadeoutTime:1.5*1000});if(MathJax.Hub.Browser.isIE9&&document.documentMode>=9){delete h.messageStyle.filter}var c={div:null,fade:0};var e=function(m){if(c.div){return}var j=MathJax.OutputJax["HTML-CSS"],n=document.body;if(b.Browser.isMSIE){if(h.messageStyle.position==="fixed"){MathJax.Message.Init();n=document.getElementById("MathJax_MSIE_Frame")||n;if(n!==document.body){h.messageStyle.position="absolute"}}}else{delete h.messageStyle.filter}h.messageStyle.maxWidth=(document.body.clientWidth-75)+"px";var k=0;while(k<m.length){if(MathJax.Object.isArray(m[k])){if(m[k].length===1&&h.HTML[m[k][0]]){m.splice.apply(m,[k,1].concat(h.HTML[m[k][0]]))}else{if(typeof m[k][1]==="string"){var l=MathJax.Localization.lookupPhrase(["FontWarnings",m[k][0]],m[k][1]);l=MathJax.Localization.processMarkdown(l,m[k].slice(2),"FontWarnings");m.splice.apply(m,[k,1].concat(l));k+=l.length}else{k++}}}else{k++}}c.div=j.addElement(n,"div",{id:"MathJax_FontWarning",style:h.messageStyle},m);MathJax.Localization.setCSS(c.div);if(h.removeAfter){b.Register.StartupHook("End",function(){c.timer=setTimeout(g,h.removeAfter)})}d.Cookie.Set("fontWarn",{warned:true})};var g=function(){c.fade++;if(c.timer){delete c.timer}if(c.fade<h.fadeoutSteps){var j=1-c.fade/h.fadeoutSteps;c.div.style.opacity=j;c.div.style.filter="alpha(opacity="+Math.floor(100*j)+")";setTimeout(g,h.fadeoutTime/h.fadeoutSteps)}else{c.div.style.display="none"}};if(!d.Cookie.Get("fontWarn").warned){b.Startup.signal.Interest(function(m){if(m.match(/HTML-CSS Jax - /)&&!c.div){var j=MathJax.OutputJax["HTML-CSS"],n=j.config.availableFonts,l;var k=(n&&n.length);if(!k){h.HTML.fonts=[""]}else{if(n.length===1){h.HTML.fonts=h.HTML[n[0]+"fonts"]}}if(j.allowWebFonts){h.HTML.webfonts=[""]}if(m.match(/- Web-Font/)){if(k){l="webFont"}}else{if(m.match(/- using image fonts/)){l="imageFonts"}else{if(m.match(/- no valid font/)){l="noFonts"}}}if(l&&h.Message[l]){MathJax.Localization.loadDomain("FontWarnings",[e,h.Message[l]])}}})}})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/FontWarnings.js");
diff --git a/extensions/HTML-CSS/handle-floats.js b/extensions/HTML-CSS/handle-floats.js
index ea4a4a485b..8a90f3374b 100644
--- a/extensions/HTML-CSS/handle-floats.js
+++ b/extensions/HTML-CSS/handle-floats.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/HTML-CSS/handle-floats.js
+ *  /MathJax-v2/extensions/HTML-CSS/handle-floats.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["HTML-CSS/handle-floats"]={version:"2.7.6"};MathJax.Hub.Startup.signal.Post("HTML-CSS handle-floats Ready");MathJax.Ajax.loadComplete("[MathJax]/extensions/HTML-CSS/handle-floats.js");
+MathJax.Extension["HTML-CSS/handle-floats"]={version:"2.7.9"};MathJax.Hub.Startup.signal.Post("HTML-CSS handle-floats Ready");MathJax.Ajax.loadComplete("[MathJax]/extensions/HTML-CSS/handle-floats.js");
diff --git a/extensions/HelpDialog.js b/extensions/HelpDialog.js
index 18926b0810..b75bd5cbbb 100644
--- a/extensions/HelpDialog.js
+++ b/extensions/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/HelpDialog.js
+ *  /MathJax-v2/extensions/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(d,f,i,c,j){var e=MathJax.Extension.Help={version:"2.7.6"};var b="http://www.stixfonts.org/";var a=MathJax.Menu;var h,g;d.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;g=MathJax.Extension.MathEvents.Event.KEY});var k=d.CombineConfig("HelpDialog",{styles:{"#MathJax_Help":{position:"fixed",left:"50%",width:"auto","max-width":"90%","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"wrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_Help.MathJax_MousePost":{outline:"none"},"#MathJax_HelpContent":{overflow:"auto","text-align":"left","font-size":"80%",padding:".4em .6em",border:"1px inset",margin:"1em 0px","max-height":"20em","max-width":"30em","background-color":"#EEEEEE"},"#MathJax_HelpClose":{position:"absolute",top:".2em",right:".2em",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},"#MathJax_HelpClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},"#MathJax_HelpClose:hover":{color:"white!important",border:"2px solid #CCC!important"},"#MathJax_HelpClose:hover span":{"background-color":"#CCC!important"},"#MathJax_HelpClose:hover:focus":{outline:"none"}}});e.Dialog=function(l){j.loadDomain("HelpDialog",["Post",e,l])};e.Post=function(n){this.div=a.Background(this);var l=f.addElement(this.div,"div",{id:"MathJax_Help",tabIndex:0,onkeydown:e.Keydown},j._("HelpDialog",[["b",{style:{fontSize:"120%"}},[["Help","MathJax Help"]]],["div",{id:"MathJax_HelpContent",tabIndex:0},[["p",{},[["MathJax","*MathJax* is a JavaScript library that allows page authors to include mathematics within their web pages.  As a reader, you don't need to do anything to make that happen."]]],["p",{},[["Browsers","*Browsers*: MathJax works with all modern browsers including IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ and most mobile browsers."]]],["p",{},[["Menu","*Math Menu*: MathJax adds a contextual menu to equations.  Right-click or CTRL-click on any mathematics to access the menu."]]],["div",{style:{"margin-left":"1em"}},[["p",{},[["ShowMath","*Show Math As* allows you to view the formula's source markup for copy & paste (as MathML or in its original format)."]]],["p",{},[["Settings","*Settings* gives you control over features of MathJax, such as the size of the mathematics, and the mechanism used to display equations."]]],["p",{},[["Language","*Language* lets you select the language used by MathJax for its menus and warning messages."]]],]],["p",{},[["Zoom","*Math Zoom*: If you are having difficulty reading an equation, MathJax can enlarge it to help you see it better."]]],["p",{},[["Accessibilty","*Accessibility*: MathJax will automatically work with screen readers to make mathematics accessible to the visually impaired."]]],["p",{},[["Fonts","*Fonts*: MathJax will use certain math fonts if they are installed on your computer; otherwise, it will use web-based fonts.  Although not required, locally installed fonts will speed up typesetting.  We suggest installing the [STIX fonts](%1).",b]]]]],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{id:"MathJax_HelpClose",onclick:e.Remove,onkeydown:e.Keydown,tabIndex:0,role:"button","aria-label":j._(["HelpDialog","CloseDialog"],"Close help dialog")},[["span",{},["\u00D7"]]]]]));if(n.type==="mouseup"){l.className+=" MathJax_MousePost"}l.focus();j.setCSS(l);var o=(document.documentElement||{});var m=window.innerHeight||o.clientHeight||o.scrollHeight||0;if(a.prototype.msieAboutBug){l.style.width="20em";l.style.position="absolute";l.style.left=Math.floor((document.documentElement.scrollWidth-l.offsetWidth)/2)+"px";l.style.top=(Math.floor((m-l.offsetHeight)/3)+document.body.scrollTop)+"px"}else{l.style.marginLeft=Math.floor(-l.offsetWidth/2)+"px";l.style.top=Math.floor((m-l.offsetHeight)/3)+"px"}};e.Remove=function(l){if(e.div){document.body.removeChild(e.div);delete e.div}};e.Keydown=function(l){if(l.keyCode===g.ESCAPE||(this.id==="MathJax_HelpClose"&&(l.keyCode===g.SPACE||l.keyCode===g.RETURN))){e.Remove(l);a.CurrentNode().focus();h(l)}},MathJax.Callback.Queue(d.Register.StartupHook("End Config",{}),["Styles",i,k.styles],["Post",d.Startup.signal,"HelpDialog Ready"],["loadComplete",i,"[MathJax]/extensions/HelpDialog.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax,MathJax.Localization);
+(function(d,f,i,c,j){var e=MathJax.Extension.Help={version:"2.7.9"};var b="http://www.stixfonts.org/";var a=MathJax.Menu;var h,g;d.Register.StartupHook("MathEvents Ready",function(){h=MathJax.Extension.MathEvents.Event.False;g=MathJax.Extension.MathEvents.Event.KEY});var k=d.CombineConfig("HelpDialog",{styles:{"#MathJax_Help":{position:"fixed",left:"50%",width:"auto","max-width":"90%","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"wrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_Help.MathJax_MousePost":{outline:"none"},"#MathJax_HelpContent":{overflow:"auto","text-align":"left","font-size":"80%",padding:".4em .6em",border:"1px inset",margin:"1em 0px","max-height":"20em","max-width":"30em","background-color":"#EEEEEE"},"#MathJax_HelpClose":{position:"absolute",top:".2em",right:".2em",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},"#MathJax_HelpClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},"#MathJax_HelpClose:hover":{color:"white!important",border:"2px solid #CCC!important"},"#MathJax_HelpClose:hover span":{"background-color":"#CCC!important"},"#MathJax_HelpClose:hover:focus":{outline:"none"}}});e.Dialog=function(l){j.loadDomain("HelpDialog",["Post",e,l])};e.Post=function(n){this.div=a.Background(this);var l=f.addElement(this.div,"div",{id:"MathJax_Help",tabIndex:0,onkeydown:e.Keydown},j._("HelpDialog",[["b",{style:{fontSize:"120%"}},[["Help","MathJax Help"]]],["div",{id:"MathJax_HelpContent",tabIndex:0},[["p",{},[["MathJax","*MathJax* is a JavaScript library that allows page authors to include mathematics within their web pages.  As a reader, you don't need to do anything to make that happen."]]],["p",{},[["Browsers","*Browsers*: MathJax works with all modern browsers including IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ and most mobile browsers."]]],["p",{},[["Menu","*Math Menu*: MathJax adds a contextual menu to equations.  Right-click or CTRL-click on any mathematics to access the menu."]]],["div",{style:{"margin-left":"1em"}},[["p",{},[["ShowMath","*Show Math As* allows you to view the formula's source markup for copy & paste (as MathML or in its original format)."]]],["p",{},[["Settings","*Settings* gives you control over features of MathJax, such as the size of the mathematics, and the mechanism used to display equations."]]],["p",{},[["Language","*Language* lets you select the language used by MathJax for its menus and warning messages."]]],]],["p",{},[["Zoom","*Math Zoom*: If you are having difficulty reading an equation, MathJax can enlarge it to help you see it better."]]],["p",{},[["Accessibilty","*Accessibility*: MathJax will automatically work with screen readers to make mathematics accessible to the visually impaired."]]],["p",{},[["Fonts","*Fonts*: MathJax will use certain math fonts if they are installed on your computer; otherwise, it will use web-based fonts.  Although not required, locally installed fonts will speed up typesetting.  We suggest installing the [STIX fonts](%1).",b]]]]],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{id:"MathJax_HelpClose",onclick:e.Remove,onkeydown:e.Keydown,tabIndex:0,role:"button","aria-label":j._(["HelpDialog","CloseDialog"],"Close help dialog")},[["span",{},["\u00D7"]]]]]));if(n.type==="mouseup"){l.className+=" MathJax_MousePost"}l.focus();j.setCSS(l);var o=(document.documentElement||{});var m=window.innerHeight||o.clientHeight||o.scrollHeight||0;if(a.prototype.msieAboutBug){l.style.width="20em";l.style.position="absolute";l.style.left=Math.floor((document.documentElement.scrollWidth-l.offsetWidth)/2)+"px";l.style.top=(Math.floor((m-l.offsetHeight)/3)+document.body.scrollTop)+"px"}else{l.style.marginLeft=Math.floor(-l.offsetWidth/2)+"px";l.style.top=Math.floor((m-l.offsetHeight)/3)+"px"}};e.Remove=function(l){if(e.div){document.body.removeChild(e.div);delete e.div}};e.Keydown=function(l){if(l.keyCode===g.ESCAPE||(this.id==="MathJax_HelpClose"&&(l.keyCode===g.SPACE||l.keyCode===g.RETURN))){e.Remove(l);a.CurrentNode().focus();h(l)}},MathJax.Callback.Queue(d.Register.StartupHook("End Config",{}),["Styles",i,k.styles],["Post",d.Startup.signal,"HelpDialog Ready"],["loadComplete",i,"[MathJax]/extensions/HelpDialog.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax,MathJax.Localization);
diff --git a/extensions/MatchWebFonts.js b/extensions/MatchWebFonts.js
index 49794a1775..190c616c9d 100644
--- a/extensions/MatchWebFonts.js
+++ b/extensions/MatchWebFonts.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/MatchWebFonts.js
+ *  /MathJax-v2/extensions/MatchWebFonts.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(c,b){var d="2.7.6";var a=MathJax.Hub.CombineConfig("MatchWebFonts",{matchFor:{"HTML-CSS":true,NativeMML:true,SVG:true},fontCheckDelay:500,fontCheckTimeout:15*1000,});MathJax.Extension.MatchWebFonts={version:d,config:a};c.Register.StartupHook("HTML-CSS Jax Ready",function(){var e=MathJax.OutputJax["HTML-CSS"];var f=e.postTranslate;e.Augment({postTranslate:function(h,g){if(!g&&a.matchFor["HTML-CSS"]&&this.config.matchFontHeight){b.timer.start(b,["checkFonts",this,h.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}return f.apply(this,arguments)},checkFonts:function(k,o){if(k.time(function(){})){return}var s=[],p,l,g=false;for(p=0,l=o.length;p<l;p++){script=o[p];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.insertBefore(this.EmExSpan.cloneNode(true),script)}}for(p=0,l=o.length;p<l;p++){script=o[p];if(!script.parentNode){continue}g=true;var h=script.MathJax.elementJax;if(!h){continue}var r=script.previousSibling;var q=r.firstChild.offsetHeight/60;var j=r.lastChild.lastChild.offsetHeight/60;if(q===0||q==="NaN"){q=this.defaultEx;j=this.defaultEm}if(q!==h.HTMLCSS.ex||j!==h.HTMLCSS.em){var n=q/this.TeX.x_height/j;n=Math.floor(Math.max(this.config.minScaleAdjust/100,n)*this.config.scale);if(n/100!==h.scale){s.push(script);o[p]={}}}}o=o.concat(s);for(p=0,l=o.length;p<l;p++){script=o[p];if(script&&script.parentNode&&script.MathJax.elementJax){script.parentNode.removeChild(script.previousSibling)}}if(s.length){c.Queue(["Rerender",c,[s],{}])}if(g){setTimeout(k,k.delay)}}})});c.Register.StartupHook("SVG Jax Ready",function(){var f=MathJax.OutputJax.SVG;var e=f.postTranslate;f.Augment({postTranslate:function(h,g){if(!g&&a.matchFor.SVG){b.timer.start(b,["checkFonts",this,h.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}return e.apply(this,arguments)},checkFonts:function(j,l){if(j.time(function(){})){return}var q=[],n,k,g=false;for(n=0,k=l.length;n<k;n++){script=l[n];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.insertBefore(this.ExSpan.cloneNode(true),script)}}for(n=0,k=l.length;n<k;n++){script=l[n];if(!script.parentNode){continue}g=true;var h=script.MathJax.elementJax;if(!h){continue}var p=script.previousSibling;var o=p.firstChild.offsetHeight/60;if(o===0||o==="NaN"){o=this.defaultEx}if(o!==h.SVG.ex){q.push(script);l[n]={}}}l=l.concat(q);for(n=0,k=l.length;n<k;n++){script=l[n];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.removeChild(script.previousSibling)}}if(q.length){c.Queue(["Rerender",c,[q],{}])}if(g){setTimeout(j,j.delay)}}})});c.Register.StartupHook("NativeMML Jax Ready",function(){var e=MathJax.OutputJax.NativeMML;var f=e.postTranslate;e.Augment({postTranslate:function(g){if(!c.Browser.isMSIE&&a.matchFor.NativeMML){b.timer.start(b,["checkFonts",this,g.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}f.apply(this,arguments)},checkFonts:function(A,l){if(A.time(function(){})){return}var t=[],q=[],o=[],w,s,B;for(w=0,s=l.length;w<s;w++){B=l[w];if(B.parentNode&&B.MathJax.elementJax){B.parentNode.insertBefore(this.EmExSpan.cloneNode(true),B)}}for(w=0,s=l.length;w<s;w++){B=l[w];if(!B.parentNode){continue}var g=B.MathJax.elementJax;if(!g){continue}var v=document.getElementById(g.inputID+"-Frame");var k=v.getElementsByTagName("math")[0];if(!k){continue}g=g.NativeMML;var y=B.previousSibling;var z=y.firstChild.offsetWidth/60;var h=y.lastChild.offsetWidth/60;if(z===0||z==="NaN"){z=this.defaultEx;h=this.defaultMEx}var r=(z!==g.ex);if(r||h!=g.mex){var C=(this.config.matchFontHeight&&h>1?z/h:1);C=Math.floor(Math.max(this.config.minScaleAdjust/100,C)*this.config.scale);if(C/100!==g.scale){o.push([v.style,C])}g.scale=C/100;g.fontScale=C+"%";g.ex=z;g.mex=h}if("scrollWidth" in g&&(r||g.scrollWidth!==k.firstChild.scrollWidth)){g.scrollWidth=k.firstChild.scrollWidth;t.push([k.parentNode.style,g.scrollWidth/g.ex/g.scale])}if(k.MathJaxMtds){for(var u=0,p=k.MathJaxMtds.length;u<p;u++){if(!k.MathJaxMtds[u].parentNode){continue}if(r||k.MathJaxMtds[u].firstChild.scrollWidth!==g.mtds[u]){g.mtds[u]=k.MathJaxMtds[u].firstChild.scrollWidth;q.push([k.MathJaxMtds[u],g.mtds[u]/g.ex])}}}}for(w=0,s=l.length;w<s;w++){B=l[w];if(B.parentNode&&B.MathJax.elementJax){B.parentNode.removeChild(B.previousSibling)}}for(w=0,s=o.length;w<s;w++){o[w][0].fontSize=o[w][1]+"%"}for(w=0,s=t.length;w<s;w++){t[w][0].width=t[w][1].toFixed(3)+"ex"}for(w=0,s=q.length;w<s;w++){var x=q[w][0].getAttribute("style");x=x.replace(/(($|;)\s*min-width:).*?ex/,"$1 "+q[w][1].toFixed(3)+"ex");q[w][0].setAttribute("style",x)}setTimeout(A,A.delay)}})});c.Startup.signal.Post("MatchWebFonts Extension Ready");b.loadComplete("[MathJax]/extensions/MatchWebFonts.js")})(MathJax.Hub,MathJax.Ajax);
+(function(c,b){var d="2.7.9";var a=MathJax.Hub.CombineConfig("MatchWebFonts",{matchFor:{"HTML-CSS":true,NativeMML:true,SVG:true},fontCheckDelay:500,fontCheckTimeout:15*1000,});MathJax.Extension.MatchWebFonts={version:d,config:a};c.Register.StartupHook("HTML-CSS Jax Ready",function(){var e=MathJax.OutputJax["HTML-CSS"];var f=e.postTranslate;e.Augment({postTranslate:function(h,g){if(!g&&a.matchFor["HTML-CSS"]&&this.config.matchFontHeight){b.timer.start(b,["checkFonts",this,h.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}return f.apply(this,arguments)},checkFonts:function(k,o){if(k.time(function(){})){return}var s=[],p,l,g=false;for(p=0,l=o.length;p<l;p++){script=o[p];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.insertBefore(this.EmExSpan.cloneNode(true),script)}}for(p=0,l=o.length;p<l;p++){script=o[p];if(!script.parentNode){continue}g=true;var h=script.MathJax.elementJax;if(!h){continue}var r=script.previousSibling;var q=r.firstChild.offsetHeight/60;var j=r.lastChild.lastChild.offsetHeight/60;if(q===0||q==="NaN"){q=this.defaultEx;j=this.defaultEm}if(q!==h.HTMLCSS.ex||j!==h.HTMLCSS.em){var n=q/this.TeX.x_height/j;n=Math.floor(Math.max(this.config.minScaleAdjust/100,n)*this.config.scale);if(n/100!==h.scale){s.push(script);o[p]={}}}}o=o.concat(s);for(p=0,l=o.length;p<l;p++){script=o[p];if(script&&script.parentNode&&script.MathJax.elementJax){script.parentNode.removeChild(script.previousSibling)}}if(s.length){c.Queue(["Rerender",c,[s],{}])}if(g){setTimeout(k,k.delay)}}})});c.Register.StartupHook("SVG Jax Ready",function(){var f=MathJax.OutputJax.SVG;var e=f.postTranslate;f.Augment({postTranslate:function(h,g){if(!g&&a.matchFor.SVG){b.timer.start(b,["checkFonts",this,h.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}return e.apply(this,arguments)},checkFonts:function(j,l){if(j.time(function(){})){return}var q=[],n,k,g=false;for(n=0,k=l.length;n<k;n++){script=l[n];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.insertBefore(this.ExSpan.cloneNode(true),script)}}for(n=0,k=l.length;n<k;n++){script=l[n];if(!script.parentNode){continue}g=true;var h=script.MathJax.elementJax;if(!h){continue}var p=script.previousSibling;var o=p.firstChild.offsetHeight/60;if(o===0||o==="NaN"){o=this.defaultEx}if(o!==h.SVG.ex){q.push(script);l[n]={}}}l=l.concat(q);for(n=0,k=l.length;n<k;n++){script=l[n];if(script.parentNode&&script.MathJax.elementJax){script.parentNode.removeChild(script.previousSibling)}}if(q.length){c.Queue(["Rerender",c,[q],{}])}if(g){setTimeout(j,j.delay)}}})});c.Register.StartupHook("NativeMML Jax Ready",function(){var e=MathJax.OutputJax.NativeMML;var f=e.postTranslate;e.Augment({postTranslate:function(g){if(!c.Browser.isMSIE&&a.matchFor.NativeMML){b.timer.start(b,["checkFonts",this,g.jax[this.id]],a.fontCheckDelay,a.fontCheckTimeout)}f.apply(this,arguments)},checkFonts:function(A,l){if(A.time(function(){})){return}var t=[],q=[],o=[],w,s,B;for(w=0,s=l.length;w<s;w++){B=l[w];if(B.parentNode&&B.MathJax.elementJax){B.parentNode.insertBefore(this.EmExSpan.cloneNode(true),B)}}for(w=0,s=l.length;w<s;w++){B=l[w];if(!B.parentNode){continue}var g=B.MathJax.elementJax;if(!g){continue}var v=document.getElementById(g.inputID+"-Frame");var k=v.getElementsByTagName("math")[0];if(!k){continue}g=g.NativeMML;var y=B.previousSibling;var z=y.firstChild.offsetWidth/60;var h=y.lastChild.offsetWidth/60;if(z===0||z==="NaN"){z=this.defaultEx;h=this.defaultMEx}var r=(z!==g.ex);if(r||h!=g.mex){var C=(this.config.matchFontHeight&&h>1?z/h:1);C=Math.floor(Math.max(this.config.minScaleAdjust/100,C)*this.config.scale);if(C/100!==g.scale){o.push([v.style,C])}g.scale=C/100;g.fontScale=C+"%";g.ex=z;g.mex=h}if("scrollWidth" in g&&(r||g.scrollWidth!==k.firstChild.scrollWidth)){g.scrollWidth=k.firstChild.scrollWidth;t.push([k.parentNode.style,g.scrollWidth/g.ex/g.scale])}if(k.MathJaxMtds){for(var u=0,p=k.MathJaxMtds.length;u<p;u++){if(!k.MathJaxMtds[u].parentNode){continue}if(r||k.MathJaxMtds[u].firstChild.scrollWidth!==g.mtds[u]){g.mtds[u]=k.MathJaxMtds[u].firstChild.scrollWidth;q.push([k.MathJaxMtds[u],g.mtds[u]/g.ex])}}}}for(w=0,s=l.length;w<s;w++){B=l[w];if(B.parentNode&&B.MathJax.elementJax){B.parentNode.removeChild(B.previousSibling)}}for(w=0,s=o.length;w<s;w++){o[w][0].fontSize=o[w][1]+"%"}for(w=0,s=t.length;w<s;w++){t[w][0].width=t[w][1].toFixed(3)+"ex"}for(w=0,s=q.length;w<s;w++){var x=q[w][0].getAttribute("style");x=x.replace(/(($|;)\s*min-width:).*?ex/,"$1 "+q[w][1].toFixed(3)+"ex");q[w][0].setAttribute("style",x)}setTimeout(A,A.delay)}})});c.Startup.signal.Post("MatchWebFonts Extension Ready");b.loadComplete("[MathJax]/extensions/MatchWebFonts.js")})(MathJax.Hub,MathJax.Ajax);
diff --git a/extensions/MathEvents.js b/extensions/MathEvents.js
index 6855ca655a..5ad76f09a2 100644
--- a/extensions/MathEvents.js
+++ b/extensions/MathEvents.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/MathEvents.js
+ *  /MathJax-v2/extensions/MathEvents.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(d,h,l,g,m,b,j){var p="2.7.6";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
+(function(d,h,l,g,m,b,j){var p="2.7.9";var i=MathJax.Extension;var c=i.MathEvents={version:p};var k=d.config.menuSettings;var o={hover:500,frame:{x:3.5,y:5,bwidth:1,bcolor:"#A6D",hwidth:"15px",hcolor:"#83A"},button:{x:-6,y:-3,wx:-2},fadeinInc:0.2,fadeoutInc:0.05,fadeDelay:50,fadeoutStart:400,fadeoutDelay:15*1000,styles:{".MathJax_Hover_Frame":{"border-radius":".25em","-webkit-border-radius":".25em","-moz-border-radius":".25em","-khtml-border-radius":".25em","box-shadow":"0px 0px 15px #83A","-webkit-box-shadow":"0px 0px 15px #83A","-moz-box-shadow":"0px 0px 15px #83A","-khtml-box-shadow":"0px 0px 15px #83A",border:"1px solid #A6D ! important",display:"inline-block",position:"absolute"},".MathJax_Menu_Button .MathJax_Hover_Arrow":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"4px","-webkit-border-radius":"4px","-moz-border-radius":"4px","-khtml-border-radius":"4px","font-family":"'Courier New',Courier","font-size":"9px",color:"#F0F0F0"},".MathJax_Menu_Button .MathJax_Hover_Arrow span":{display:"block","background-color":"#AAA",border:"1px solid","border-radius":"3px","line-height":0,padding:"4px"},".MathJax_Hover_Arrow:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_Hover_Arrow:hover span":{"background-color":"#CCC!important"}}};var n=c.Event={LEFTBUTTON:0,RIGHTBUTTON:2,MENUKEY:"altKey",KEY:{RETURN:13,ESCAPE:27,SPACE:32,LEFT:37,UP:38,RIGHT:39,DOWN:40,LESS:188,GREATER:190,DASH:189},Mousedown:function(q){return n.Handler(q,"Mousedown",this)},Mouseup:function(q){return n.Handler(q,"Mouseup",this)},Mousemove:function(q){return n.Handler(q,"Mousemove",this)},Mouseover:function(q){return n.Handler(q,"Mouseover",this)},Mouseout:function(q){return n.Handler(q,"Mouseout",this)},Click:function(q){return n.Handler(q,"Click",this)},DblClick:function(q){return n.Handler(q,"DblClick",this)},Menu:function(q){return n.Handler(q,"ContextMenu",this)},Handler:function(t,r,s){if(l.loadingMathMenu){return n.False(t)}var q=b[s.jaxID];if(!t){t=window.event}t.isContextMenu=(r==="ContextMenu");if(q[r]){return q[r](t,s)}if(i.MathZoom){return i.MathZoom.HandleEvent(t,r,s)}},False:function(q){if(!q){q=window.event}if(q){if(q.preventDefault){q.preventDefault()}else{q.returnValue=false}if(q.stopPropagation){q.stopPropagation()}q.cancelBubble=true}return false},Keydown:function(r,q){if(!r){r=window.event}if(r.keyCode===n.KEY.SPACE){n.ContextMenu(r,this)}},ContextMenu:function(t,E,w){var B=b[E.jaxID],v=B.getJaxFromMath(E);var F=(B.config.showMathMenu!=null?B:d).config.showMathMenu;if(!F||(k.context!=="MathJax"&&!w)){return}if(c.msieEventBug){t=window.event||t}n.ClearSelection();f.ClearHoverTimer();if(v.hover){if(v.hover.remove){clearTimeout(v.hover.remove);delete v.hover.remove}v.hover.nofade=true}var u=MathJax.Menu;var G,D;if(u){if(u.loadingDomain){return n.False(t)}G=m.loadDomain("MathMenu");if(!G){u.jax=v;var r=u.menu.Find("Show Math As").submenu;r.items[0].name=v.sourceMenuTitle;r.items[0].format=(v.sourceMenuFormat||"MathML");r.items[1].name=j[v.inputJax].sourceMenuTitle;r.items[5].disabled=!j[v.inputJax].annotationEncoding;var A=r.items[2];A.disabled=true;var q=A.submenu.items;annotationList=MathJax.Hub.Config.semanticsAnnotations;for(var z=0,y=q.length;z<y;z++){var s=q[z].name[1];if(v.root&&v.root.getAnnotation(s)!==null){A.disabled=false;q[z].hidden=false}else{q[z].hidden=true}}var x=u.menu.Find("Math Settings","MathPlayer");x.hidden=!(v.outputJax==="NativeMML"&&d.Browser.hasMathPlayer);return u.menu.Post(t)}u.loadingDomain=true;D=function(){delete u.loadingDomain}}else{if(l.loadingMathMenu){return n.False(t)}l.loadingMathMenu=true;G=l.Require("[MathJax]/extensions/MathMenu.js");D=function(){delete l.loadingMathMenu;if(!MathJax.Menu){MathJax.Menu={}}}}var C={pageX:t.pageX,pageY:t.pageY,clientX:t.clientX,clientY:t.clientY};g.Queue(G,D,["ContextMenu",n,C,E,w]);return n.False(t)},AltContextMenu:function(s,r){var t=b[r.jaxID];var q=(t.config.showMathMenu!=null?t:d).config.showMathMenu;if(q){q=(t.config.showMathMenuMSIE!=null?t:d).config.showMathMenuMSIE;if(k.context==="MathJax"&&!k.mpContext&&q){if(!c.noContextMenuBug||s.button!==n.RIGHTBUTTON){return}}else{if(!s[n.MENUKEY]||s.button!==n.LEFTBUTTON){return}}return t.ContextMenu(s,r,true)}},ClearSelection:function(){if(c.safariContextMenuBug){setTimeout("window.getSelection().empty()",0)}if(document.selection){setTimeout("document.selection.empty()",0)}},getBBox:function(s){s.appendChild(c.topImg);var r=c.topImg.offsetTop,t=s.offsetHeight-r,q=s.offsetWidth;s.removeChild(c.topImg);return{w:q,h:r,d:t}}};var f=c.Hover={Mouseover:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.ReHover(q)}else{f.HoverTimer(q,r)}return n.False(s)}}},Mouseout:function(s,r){if(k.discoverable||k.zoom==="Hover"){var u=s.fromElement||s.relatedTarget,t=s.toElement||s.target;if(u&&t&&(d.isMathJaxNode(u)!==d.isMathJaxNode(t)||d.getJaxFor(u)!==d.getJaxFor(t))){var q=this.getJaxFromMath(r);if(q.hover){f.UnHover(q)}else{f.ClearHoverTimer()}return n.False(s)}}},Mousemove:function(s,r){if(k.discoverable||k.zoom==="Hover"){var q=this.getJaxFromMath(r);if(q.hover){return}if(f.lastX==s.clientX&&f.lastY==s.clientY){return}f.lastX=s.clientX;f.lastY=s.clientY;f.HoverTimer(q,r);return n.False(s)}},HoverTimer:function(q,r){this.ClearHoverTimer();this.hoverTimer=setTimeout(g(["Hover",this,q,r]),o.hover)},ClearHoverTimer:function(){if(this.hoverTimer){clearTimeout(this.hoverTimer);delete this.hoverTimer}},Hover:function(q,u){if(i.MathZoom&&i.MathZoom.Hover({},u)){return}var t=b[q.outputJax],v=t.getHoverSpan(q,u),y=t.getHoverBBox(q,v,u),w=(t.config.showMathMenu!=null?t:d).config.showMathMenu;var A=o.frame.x,z=o.frame.y,x=o.frame.bwidth;if(c.msieBorderWidthBug){x=0}q.hover={opacity:0,id:q.inputID+"-Hover"};var r=h.Element("span",{id:q.hover.id,isMathJax:true,style:{display:"inline-block",width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Frame",isMathJax:true,style:{display:"inline-block",position:"absolute",top:this.Px(-y.h-z-x-(y.y||0)),left:this.Px(-A-x+(y.x||0)),width:this.Px(y.w+2*A),height:this.Px(y.h+y.d+2*z),opacity:0,filter:"alpha(opacity=0)"}}]]);var s=h.Element("span",{isMathJax:true,id:q.hover.id+"Menu",className:"MathJax_Menu_Button",style:{display:"inline-block","z-index":1,width:0,height:0,position:"relative"}},[["span",{className:"MathJax_Hover_Arrow",isMathJax:true,math:u,onclick:this.HoverMenu,jax:t.id,style:{left:this.Px(y.w+A+x+(y.x||0)+o.button.x),top:this.Px(-y.h-z-x-(y.y||0)-o.button.y),opacity:0,filter:"alpha(opacity=0)"}},[["span",{isMathJax:true},"\u25BC"]]]]);if(y.width){r.style.width=s.style.width=y.width;r.style.marginRight=s.style.marginRight="-"+y.width;r.firstChild.style.width=y.width;s.firstChild.style.left="";s.firstChild.style.right=this.Px(o.button.wx)}v.parentNode.insertBefore(r,v);if(w){v.parentNode.insertBefore(s,v)}if(v.style){v.style.position="relative"}this.ReHover(q)},ReHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}q.hover.remove=setTimeout(g(["UnHover",this,q]),o.fadeoutDelay);this.HoverFadeTimer(q,o.fadeinInc)},UnHover:function(q){if(!q.hover.nofade){this.HoverFadeTimer(q,-o.fadeoutInc,o.fadeoutStart)}},HoverFade:function(q){delete q.hover.timer;q.hover.opacity=Math.max(0,Math.min(1,q.hover.opacity+q.hover.inc));q.hover.opacity=Math.floor(1000*q.hover.opacity)/1000;var s=document.getElementById(q.hover.id),r=document.getElementById(q.hover.id+"Menu");s.firstChild.style.opacity=q.hover.opacity;s.firstChild.style.filter="alpha(opacity="+Math.floor(100*q.hover.opacity)+")";if(r){r.firstChild.style.opacity=q.hover.opacity;r.firstChild.style.filter=s.style.filter}if(q.hover.opacity===1){return}if(q.hover.opacity>0){this.HoverFadeTimer(q,q.hover.inc);return}s.parentNode.removeChild(s);if(r){r.parentNode.removeChild(r)}if(q.hover.remove){clearTimeout(q.hover.remove)}delete q.hover},HoverFadeTimer:function(q,s,r){q.hover.inc=s;if(!q.hover.timer){q.hover.timer=setTimeout(g(["HoverFade",this,q]),(r||o.fadeDelay))}},HoverMenu:function(q){if(!q){q=window.event}return b[this.jax].ContextMenu(q,this.math,true)},ClearHover:function(q){if(q.hover.remove){clearTimeout(q.hover.remove)}if(q.hover.timer){clearTimeout(q.hover.timer)}f.ClearHoverTimer();delete q.hover},Px:function(q){if(Math.abs(q)<0.006){return"0px"}return q.toFixed(2).replace(/\.?0+$/,"")+"px"},getImages:function(){if(k.discoverable){var q=new Image();q.src=o.button.src}}};var a=c.Touch={last:0,delay:500,start:function(r){var q=new Date().getTime();var s=(q-a.last<a.delay&&a.up);a.last=q;a.up=false;if(s){a.timeout=setTimeout(a.menu,a.delay,r,this);r.preventDefault()}},end:function(r){var q=new Date().getTime();a.up=(q-a.last<a.delay);if(a.timeout){clearTimeout(a.timeout);delete a.timeout;a.last=0;a.up=false;r.preventDefault();return n.Handler((r.touches[0]||r.touch),"DblClick",this)}},menu:function(r,q){delete a.timeout;a.last=0;a.up=false;return n.Handler((r.touches[0]||r.touch),"ContextMenu",q)}};d.Browser.Select({MSIE:function(q){var s=(document.documentMode||0);var r=q.versionAtLeast("8.0");c.msieBorderWidthBug=(document.compatMode==="BackCompat");c.msieEventBug=q.isIE9;c.msieAlignBug=(!r||s<8);if(s<9){n.LEFTBUTTON=1}},Safari:function(q){c.safariContextMenuBug=true},Opera:function(q){c.operaPositionBug=true},Konqueror:function(q){c.noContextMenuBug=true}});c.topImg=(c.msieAlignBug?h.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):h.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(c.operaPositionBug){c.topImg.style.border="1px solid"}c.config=o=d.CombineConfig("MathEvents",o);var e=function(){var q=o.styles[".MathJax_Hover_Frame"];q.border=o.frame.bwidth+"px solid "+o.frame.bcolor+" ! important";q["box-shadow"]=q["-webkit-box-shadow"]=q["-moz-box-shadow"]=q["-khtml-box-shadow"]="0px 0px "+o.frame.hwidth+" "+o.frame.hcolor};g.Queue(d.Register.StartupHook("End Config",{}),[e],["getImages",f],["Styles",l,o.styles],["Post",d.Startup.signal,"MathEvents Ready"],["loadComplete",l,"[MathJax]/extensions/MathEvents.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.Callback,MathJax.Localization,MathJax.OutputJax,MathJax.InputJax);
diff --git a/extensions/MathML/content-mathml.js b/extensions/MathML/content-mathml.js
index a6db5f8ac1..bf81c7e98e 100644
--- a/extensions/MathML/content-mathml.js
+++ b/extensions/MathML/content-mathml.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/MathML/content-mathml.js
+ *  /MathJax-v2/extensions/MathML/content-mathml.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["MathML/content-mathml"]=(function(d){var c=d.Browser.isMSIE;if(c){try{document.namespaces.add("m","http://www.w3.org/1998/Math/MathML")}catch(e){}}var b=d.CombineConfig("MathML.content-mathml",{collapsePlusMinus:true,cistyles:{vector:"bold-italic",matrix:"bold-upright"},symbols:{gamma:"\u03B3"}});var a={version:"2.7.6",settings:b,transformElements:function(h){for(var g=0,f=h.length;g<f;g++){var j=a.transformElement(h[g]);h[g].parentNode.replaceChild(j,h[g])}},transformElement:function(h){if(h.nodeName.indexOf(":")>=0){h=a.cloneNode(h,true)}var i=a.cloneNode(h);for(var g=0,f=h.childNodes.length;g<f;g++){a.applyTransform(i,h.childNodes[g],0)}return i},getTextContent:function(f){return f.text!==undefined?f.text:f.innerText!==undefined?f.innerText:f.textContent},setTextContent:function(h,j){for(var g=0,f=h.childNodes.length;g<f;g++){if(h.childNodes[g].nodeType===3){h.removeChild(h.childNodes[g]);g--;f--}}h.appendChild(document.createTextNode(j))},cloneNode:function(j,g){var m,h,f;if(j.nodeType===1){m=a.createElement(j.nodeName);for(h=0,f=j.attributes.length;h<f;h++){m.setAttribute(j.attributes[h].nodeName,j.attributes[h].nodeValue)}if(g){for(h=0,f=j.childNodes.length;h<f;h++){var k=a.cloneNode(j.childNodes[h],true);m.appendChild(k)}}}else{if(j.nodeType===3){m=document.createTextNode(j.nodeValue)}}return m},createElement:function(f){f=f.replace(/^.*:/,"");return(document.createElementNS?document.createElementNS("http://www.w3.org/1998/Math/MathML",f):document.createElement("m:"+f))},getChildren:function(i){var h=[];for(var g=0,f=i.childNodes.length;g<f;g++){if(i.childNodes[g].nodeType===1){h.push(i.childNodes[g])}}return h},classifyChildren:function(m){var k=[],g=[],o=[];for(var i=0,f=m.childNodes.length;i<f;i++){if(m.childNodes[i].nodeType===1){var n=m.childNodes[i],h=n.nodeName;if(h==="bvar"){g.push(n)}else{if(h==="condition"||h==="degree"||h==="momentabout"||h==="logbase"||h==="lowlimit"||h==="uplimit"||(h==="interval"&&k.length<2)||h==="domainofapplication"){o.push(n)}else{k.push(n)}}}}return{args:k,bvars:g,qualifiers:o}},appendToken:function(f,h,j){var i=a.createElement(h);j=j.replace(/^\s+/,"").replace(/\s+$/,"");if(h==="mn"&&j.substr(0,1)==="-"){i.appendChild(document.createTextNode(j.substr(1)));var g=a.createElement("mrow");a.appendToken(g,"mo","\u2212");g.appendChild(i);i=g}else{i.appendChild(document.createTextNode(j))}f.appendChild(i);return i},applyTransform:function(o,k,f){if(!k){var h=a.createElement("merror");a.appendToken(h,"mtext","Missing child node");o.appendChild(h);return}var p=k.nodeName.replace(/.*:/,"");if(k.nodeType===1){if(a.tokens[p]){a.tokens[p](o,k,f)}else{if(k.childNodes.length===0){var g=a.MML[p];if(g&&g.isa&&g.isa(a.mbase)){o.appendChild(a.cloneNode(k))}else{a.appendToken(o,"mi",p)}}else{var i=a.cloneNode(k);o.appendChild(i);for(var n=0,m=k.childNodes.length;n<m;n++){a.applyTransform(i,k.childNodes[n],f)}}}}else{if(k.nodeType===3){o.appendChild(a.cloneNode(k))}}},createmfenced:function(i,h,m){var k=a.createElement("mfenced");k.setAttribute("open",h);k.setAttribute("close",m);for(var g=0,f=i.length;g<f;g++){a.applyTransform(k,i[g],0)}return k},transforms:{identifier:function(f){return function(h,i,g){a.appendToken(h,"mi",f)}},set:function(g,h){var f=a.transforms.bind("",",","|");return function(j,n){var o=a.classifyChildren(n);var m=o.args,l=o.bvars,p=o.qualifiers;if(l.length){var i=o.args[0];m=m.slice(1);var k=a.createElement("mfenced");k.setAttribute("open",g);k.setAttribute("close",h);f(k,n,i,m,l,p,0);j.appendChild(k)}else{j.appendChild(a.createmfenced(m,g,h))}}},token:function(f){return function(g,m){if(m.childNodes.length===1&&m.childNodes[0].nodeType===3){a.appendToken(g,f,a.getTextContent(m))}else{var i=a.createElement("mrow");for(var k=0,h=m.childNodes.length;k<h;k++){if(m.childNodes[k].nodeType===3){a.appendToken(g,f,a.getTextContent(m.childNodes[k]))}else{a.applyTransform(i,m.childNodes[k],0)}}if(i.childNodes.length){g.appendChild(i)}}}},binary:function(f,g){return function(n,j,l,p,i,m,h){var o=a.createElement("mrow");var k=g<h||(g==h&&f==="-");if(k){a.appendToken(o,"mo","(")}if(p.length>1){a.applyTransform(o,p[0],g)}a.appendToken(o,"mo",f);if(p.length>0){var q=p[(p.length===1)?0:1];a.applyTransform(o,q,g)}if(k){a.appendToken(o,"mo",")")}n.appendChild(o)}},infix:function(f,g){return function(r,k,o,t,i,p,h){var s=a.createElement("mrow");var n=h>g;if(n){a.appendToken(s,"mo","(")}for(var q=0,m=t.length;q<m;q++){if(q>0){a.appendToken(s,"mo",f)}a.applyTransform(s,t[q],g)}if(n){a.appendToken(s,"mo",")")}r.appendChild(s)}},iteration:function(f,g){return function(q,y,C,l,h,u,m){var t=a.createElement("mrow");var x=a.createElement("mo");a.setTextContent(x,f);var o=a.createElement("munderover");o.appendChild(x);var k=a.createElement("mrow");var A,w,v,B,n,s,z,r;for(A=0,v=u.length;A<v;A++){if(u[A].nodeName==="lowlimit"||u[A].nodeName==="condition"||u[A].nodeName==="domainofapplication"){if(u[A].nodeName==="lowlimit"){for(w=0,B=h.length;w<B;w++){s=h[w];n=a.getChildren(s);if(n.length){a.applyTransform(k,n[0],0)}}if(h.length){a.appendToken(k,"mo",g)}}n=a.getChildren(u[A]);for(w=0;w<n.length;w++){a.applyTransform(k,n[w],0)}}else{n=a.getChildren(u[A]);if(u[A].nodeName==="interval"&&n.length===2){for(w=0,B=h.length;w<B;w++){s=h[w];n=a.getChildren(s);if(n.length){a.applyTransform(k,n[0],0)}}if(h.length){a.appendToken(k,"mo","=")}a.applyTransform(k,a.getChildren(u[A])[0],0)}}}o.appendChild(k);var p=a.createElement("mrow");for(A=0,v=u.length;A<v;A++){if(u[A].nodeName==="uplimit"||u[A].nodeName==="interval"){n=a.getChildren(u[A]);for(w=0,z=n.length;w<z;w++){a.applyTransform(p,n[w],0)}}}o.appendChild(p);t.appendChild(o);for(A=0,r=l.length;A<r;A++){a.applyTransform(t,l[A],m)}q.appendChild(t)}},bind:function(g,f,h){return function(w,o,r,z,m,s,k){var y=a.createElement("mrow");var n,v,u,q,p,B;if(g){a.appendToken(y,"mo",g)}for(u=0,q=m.length;u<q;u++){var t=m[u];if(u>0){a.appendToken(y,"mo",",")}n=a.getChildren(t);if(n.length){a.applyTransform(y,n[0],0)}}var x=a.createElement("mrow");var A=false;for(v=0,p=s.length;v<p;v++){if(s[v].nodeName==="condition"){A=true;n=a.getChildren(s[v]);for(u=0,B=n.length;u<B;u++){a.applyTransform(x,n[u],0)}}}if(A){a.appendToken(y,"mo",h)}y.appendChild(x);for(v=0,p=s.length;v<p;v++){if(s[v].nodeName!="condition"){a.appendToken(y,"mo","\u2208");n=a.getChildren(s[v]);for(u=0,B=n.length;u<B;u++){a.applyTransform(y,n[u],0)}}}if(z.length&&(m.length||n.length)){a.appendToken(y,"mo",f)}for(v=0,q=z.length;v<q;v++){a.applyTransform(y,z[v],0)}w.appendChild(y)}},fn:function(f){return function(i,m,h,l,k,n,g){var j=a.createElement("mrow");if(h.childNodes.length){a.applyTransform(j,h,1)}else{a.appendToken(j,"mi",f)}a.appendToken(j,"mo","\u2061");j.appendChild(a.createmfenced(l,"(",")"));i.appendChild(j)}},minmax:function(f){return function(q,j,m,s,h,o,g){var r=a.createElement("mrow");a.appendToken(r,"mi",f);var n=a.createElement("mrow");a.appendToken(n,"mo","{");for(var p=0,k=s.length;p<k;p++){if(p>0){a.appendToken(n,"mo",",")}a.applyTransform(n,s[p],0)}if(o.length){a.appendToken(n,"mo","|");for(p=0,k=o.length;p<k;p++){a.applyTransform(n,o[p],0)}}a.appendToken(n,"mo","}");r.appendChild(n);q.appendChild(r)}}}};a.tokens={ci:function(g,i,f){if(i.childNodes.length===1&&i.childNodes[0].nodeType===3){var h=a.appendToken(g,"mi",a.getTextContent(i));var j=i.getAttribute("type");if(j in a.settings.cistyles){h.setAttribute("mathvariant",a.settings.cistyles[j])}}else{a.transforms.token("mi")(g,i,f)}},cs:a.transforms.token("ms"),csymbol:function(g,h,f){var i=h.getAttribute("cd");if(i&&a.contentDictionaries[i]){a.contentDictionaries[i](g,h,f)}else{if(a.settings.symbols[name]){a.appendToken(g,"mi",a.settings.symbols[name])}else{a.tokens.ci(g,h)}}},fn:function(g,h,f){a.applyTransform(g,a.getChildren(h)[0],f)},naturalnumbers:a.transforms.identifier("\u2115"),integers:a.transforms.identifier("\u2124"),reals:a.transforms.identifier("\u211D"),rationals:a.transforms.identifier("\u211A"),complexes:a.transforms.identifier("\u2102"),primes:a.transforms.identifier("\u2119"),exponentiale:a.transforms.identifier("e"),imaginaryi:a.transforms.identifier("i"),notanumber:a.transforms.identifier("NaN"),eulergamma:a.transforms.identifier("\u03B3"),gamma:a.transforms.identifier("\u0263"),pi:a.transforms.identifier("\u03C0"),infinity:a.transforms.identifier("\u221E"),emptyset:a.transforms.identifier("\u2205"),"true":a.transforms.identifier("true"),"false":a.transforms.identifier("false"),set:a.transforms.set("{","}"),list:a.transforms.set("(",")"),interval:function(g,i,f){var k=i.getAttribute("closure");var h,j;switch(k){case"open":h="(";j=")";break;case"open-closed":h="(";j="]";break;case"closed-open":h="[";j=")";break;case"closed":default:h="[";j="]"}g.appendChild(a.createmfenced(a.getChildren(i),h,j))},apply:function(m,j,f){var i=a.classifyChildren(j);var k=i.args[0];var n=i.args.slice(1),h=i.bvars,l=i.qualifiers;if(k){var g=k.nodeName;g=(g==="csymbol")?a.getTextContent(k).toLowerCase():g;if(a.applyTokens[g]){a.applyTokens[g](m,j,k,n,h,l,f)}else{a.transforms.fn(g)(m,j,k,n,h,l,f)}}else{m.appendChild(a.createElement("mrow"))}},cn:function(m,h,f){var p=h.getAttribute("type");var g=h.getAttribute("base");if(p||g){if(g){p="based-integer"}switch(p){case"integer":case"real":case"double":case"constant":a.transforms.token("mn")(m,h);break;case"hexdouble":a.appendToken(m,"mn","0x"+a.getTextContent(h));break;default:var q=a.createElement("apply");var n=a.createElement("mrow");var o=a.createElement(p);q.appendChild(o);if(g){a.appendToken(q,"mn",g)}for(var k=0,i=h.childNodes.length;k<i;k++){if(h.childNodes[k].nodeType===3){a.appendToken(n,"cn",a.getTextContent(h.childNodes[k]))}else{if(h.childNodes[k].nodeName==="sep"){q.appendChild(n);n=a.createElement("mrow")}else{n.appendChild(a.cloneNode(h.childNodes[k],true))}}}q.appendChild(n);a.applyTransform(m,q,0)}}else{a.transforms.token("mn")(m,h)}},vector:function(o,h,f){var p=a.createElement("mrow");a.appendToken(p,"mo","(");var m=a.createElement("mtable");var g=a.getChildren(h);for(var n=0,j=g.length;n<j;n++){var k=a.createElement("mtr");var q=a.createElement("mtd");a.applyTransform(q,g[n],0);k.appendChild(q);m.appendChild(k)}p.appendChild(m);a.appendToken(p,"mo",")");o.appendChild(p)},piecewise:function(g,k,f){var j=a.createElement("mrow");a.appendToken(j,"mo","{");var o=a.createElement("mtable");j.appendChild(o);var n=a.getChildren(k);for(var m=0,h=n.length;m<h;m++){a.applyTransform(o,n[m],0)}g.appendChild(j)},piece:function(h,m,g){var f=a.createElement("mtr");var o=a.getChildren(m);for(var n=0,j=o.length;n<j;n++){var k=a.createElement("mtd");f.appendChild(k);a.applyTransform(k,o[n],0);if(n===0){k=a.createElement("mtd");a.appendToken(k,"mtext","\u00A0if\u00A0");f.appendChild(k)}}h.appendChild(f)},otherwise:function(h,j,g){var f=a.createElement("mtr");var k=a.getChildren(j);if(k.length){var i=a.createElement("mtd");f.appendChild(i);a.applyTransform(i,k[0],0);i=a.createElement("mtd");i.setAttribute("columnspan","2");a.appendToken(i,"mtext","\u00A0otherwise");f.appendChild(i)}h.appendChild(f)},matrix:function(q,j,f){var h=a.classifyChildren(j);var t=h.args,g=h.bvars,n=h.qualifiers;if(g.length||n.length){var r=a.createElement("mrow");a.appendToken(r,"mo","[");var s=a.createElement("msub");a.appendToken(s,"mi","m");var m=a.createElement("mrow");for(var p=0,k=g.length;p<k;p++){if(p!=0){a.appendToken(m,"mo",",")}a.applyTransform(m,g[p].childNodes[0],0)}s.appendChild(m);r.appendChild(s);var u=a.cloneNode(s,true);a.appendToken(r,"mo","|");r.appendChild(u);a.appendToken(r,"mo","=");for(p=0,k=t.length;p<k;p++){if(p!=0){a.appendToken(r,"mo",",")}a.applyTransform(r,t[p],0)}a.appendToken(r,"mo",";");for(p=0,k=n.length;p<k;p++){if(p!=0){a.appendToken(r,"mo",",")}a.applyTransform(r,n[p],0)}a.appendToken(r,"mo","]");q.appendChild(r)}else{var v=a.createElement("mfenced");var o=a.createElement("mtable");for(p=0,k=t.length;p<k;p++){a.applyTransform(o,t[p],0)}v.appendChild(o);q.appendChild(v)}},matrixrow:function(h,m,g){var f=a.createElement("mtr");var o=a.getChildren(m);for(var n=0,j=o.length;n<j;n++){var k=a.createElement("mtd");a.applyTransform(k,o[n],0);f.appendChild(k)}h.appendChild(f)},condition:function(g,k,f){var j=a.createElement("mrow");var n=a.getChildren(k);for(var m=0,h=n.length;m<h;m++){a.applyTransform(j,n[m],0)}g.appendChild(j)},lambda:function(t,k,f){var o=a.createElement("lambda");var h=a.classifyChildren(k);var w=h.args,g=h.bvars,q=h.qualifiers;var s,n,m;if(g.length){a.applyTokens.lambda(t,k,o,w,g,q,f)}else{var u=a.createElement("mrow");for(s=0,n=w.length;s<n;s++){a.applyTransform(u,w[s],0)}if(q.length){var v=a.createElement("msub");a.appendToken(v,"mo","|");var p=a.createElement("mrow");for(s=0,m=q.length;s<m;s++){h=a.getChildren(q[s]);for(var r=0,x=h.length;r<x;r++){a.applyTransform(p,h[r],0)}}v.appendChild(p);u.appendChild(v)}t.appendChild(u)}},ident:function(g,h,f){a.appendToken(g,"mi","id")},domainofapplication:function(g,h,f){var i=a.createElement("merror");a.appendToken(i,"mtext","unexpected domainofapplication");g.appendChild(i)},share:function(g,i,f){var h=a.createElement("mi");h.setAttribute("href",i.getAttribute("href"));a.setTextContent(h,"Share "+i.getAttribute("href"));g.appendChild(h)},cerror:function(g,j,f){var n=a.createElement("merror");var m=a.getChildren(j);for(var k=0,h=m.length;k<h;k++){a.applyTransform(n,m[k],0)}g.appendChild(n)},semantics:function(g,k,f){var j=a.createElement("mrow");var n=a.getChildren(k);if(n.length){var o=n[0];for(var m=0,h=n.length;m<h;m++){if(n[m].nodeName==="annotation-xml"&&n[m].getAttribute("encoding")==="MathML-Presentation"){o=n[m];break}}a.applyTransform(j,o,0)}g.appendChild(j)},"annotation-xml":function(g,k,f){var j=a.createElement("mrow");var n=a.getChildren(k);for(var m=0,h=n.length;m<h;m++){a.applyTransform(j,n[m],0)}g.appendChild(j)}};a.tokens.reln=a.tokens.bind=a.tokens.apply;a.contentDictionaries={setname1:function(g,i,f){var j={C:"\u2102",N:"\u2115",P:"\u2119",Q:"\u211A",R:"\u211D",Z:"\u2124"};var h=a.getTextContent(i);a.appendToken(g,"mi",j[h])},aritherror:function(g,i,f){var h=a.getTextContent(i);a.appendToken(g,"mi",h+":")}};a.applyTokens={rem:a.transforms.binary("mod",3),divide:a.transforms.binary("/",3),remainder:a.transforms.binary("mod",3),implies:a.transforms.binary("\u21D2",3),factorof:a.transforms.binary("|",3),"in":a.transforms.binary("\u2208",3),notin:a.transforms.binary("\u2209",3),notsubset:a.transforms.binary("\u2288",2),notprsubset:a.transforms.binary("\u2284",2),setdiff:a.transforms.binary("\u2216",2),eq:a.transforms.infix("=",1),compose:a.transforms.infix("\u2218",0),left_compose:a.transforms.infix("\u2218",1),xor:a.transforms.infix("xor",3),neq:a.transforms.infix("\u2260",1),gt:a.transforms.infix(">",1),lt:a.transforms.infix("<",1),geq:a.transforms.infix("\u2265",1),leq:a.transforms.infix("\u2264",1),equivalent:a.transforms.infix("\u2261",1),approx:a.transforms.infix("\u2248",1),subset:a.transforms.infix("\u2286",2),prsubset:a.transforms.infix("\u2282",2),cartesianproduct:a.transforms.infix("\u00D7",2),cartesian_product:a.transforms.infix("\u00D7",2),vectorproduct:a.transforms.infix("\u00D7",2),scalarproduct:a.transforms.infix(".",2),outerproduct:a.transforms.infix("\u2297",2),sum:a.transforms.iteration("\u2211","="),product:a.transforms.iteration("\u220F","="),forall:a.transforms.bind("\u2200",".",","),exists:a.transforms.bind("\u2203",".",","),lambda:a.transforms.bind("\u03BB",".",","),limit:a.transforms.iteration("lim","\u2192"),sdev:a.transforms.fn("\u03c3"),determinant:a.transforms.fn("det"),max:a.transforms.minmax("max"),min:a.transforms.minmax("min"),real:a.transforms.fn("\u211b"),imaginary:a.transforms.fn("\u2111"),set:a.transforms.set("{","}"),list:a.transforms.set("(",")"),exp:function(h,k,g,j,i,m,f){var l=a.createElement("msup");a.appendToken(l,"mi","e");a.applyTransform(l,j[0],0);h.appendChild(l)},union:function(h,k,g,j,i,l,f){if(i.length){a.transforms.iteration("\u22C3","=")(h,k,g,j,i,l,f)}else{a.transforms.infix("\u222A",2)(h,k,g,j,i,l,f)}},intersect:function(q,i,n,s,g,o,f){if(g.length){a.transforms.iteration("\u22C2","=")(q,i,n,s,g,o,f)}else{var r=a.createElement("mrow");var m=f>2;if(m){a.appendToken(r,"mo","(")}for(var p=0,k=s.length;p<k;p++){var t=false;if(p>0){a.appendToken(r,"mo","\u2229");if(s[p].nodeName==="apply"){var h=a.getChildren(s[p])[0];t=h.nodeName==="union"}}if(t){a.appendToken(r,"mo","(")}a.applyTransform(r,s[p],2);if(t){a.appendToken(r,"mo",")")}}if(m){a.appendToken(r,"mo",")")}q.appendChild(r)}},floor:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","\u230a");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","\u230b");h.appendChild(i)},conjugate:function(h,l,g,k,j,m,f){var i=a.createElement("mover");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","\u00af");h.appendChild(i)},abs:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","|");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","|");h.appendChild(i)},and:function(h,k,g,j,i,l,f){if(i.length||l.length){a.transforms.iteration("\u22c0","=")(h,k,g,j,i,l,4)}else{a.transforms.infix("\u2227",2)(h,k,g,j,i,l,f)}},or:function(h,k,g,j,i,l,f){if(i.length||l.length){a.transforms.iteration("\u22c1","=")(h,k,g,j,i,l,4)}else{a.transforms.infix("\u2228",2)(h,k,g,j,i,l,f)}},xor:function(h,k,g,j,i,l,f){if(i.length||l.length){a.transforms.iteration("xor","=")(h,k,g,j,i,l,4)}else{a.transforms.infix("xor",2)(h,k,g,j,i,l,f)}},card:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","|");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","|");h.appendChild(i)},mean:function(h,l,g,k,j,m,f){if(k.length===1){var i=a.createElement("mover");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","\u00af");h.appendChild(i)}else{h.appendChild(a.createmfenced(k,"\u27e8","\u27e9"))}},moment:function(s,k,o,w,g,p,f){var n,v,h,r,q,m;for(r=0,m=p.length;r<m;r++){if(p[r].nodeName==="degree"){n=p[r]}else{if(p[r].nodeName==="momentabout"){v=p[r]}}}var t=a.createElement("mrow");a.appendToken(t,"mo","\u27e8");var y=a.createElement("mrow");if(w.length>1){y.appendChild(a.createmfenced(w,"(",")"))}else{a.applyTransform(y,w[0],0)}if(n){var x=a.createElement("msup");x.appendChild(y);h=a.getChildren(n);for(q=0,m=h.length;q<m;q++){a.applyTransform(x,h[q],0)}t.appendChild(x)}else{t.appendChild(y)}a.appendToken(t,"mo","\u27e9");if(v){var u=a.createElement("msub");u.appendChild(t);h=a.getChildren(v);for(q=0,m=h.length;q<m;q++){a.applyTransform(u,h[q],0)}s.appendChild(u)}else{s.appendChild(t)}},variance:function(k,h,i,m,g,j,f){var l=a.createElement("mrow");var n=a.createElement("msup");a.appendToken(n,"mo","\u03c3");a.appendToken(n,"mn","2");l.appendChild(n);a.appendToken(l,"mo","\u2061");l.appendChild(a.createmfenced(m,"(",")"));k.appendChild(l)},grad:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","\u2207");a.appendToken(i,"mo","\u2061");i.appendChild(a.createmfenced(k,"(",")"));h.appendChild(i)},laplacian:function(k,h,i,m,g,j,f){var l=a.createElement("mrow");var n=a.createElement("msup");a.appendToken(n,"mo","\u2207");a.appendToken(n,"mn","2");l.appendChild(n);a.appendToken(l,"mo","\u2061");l.appendChild(a.createmfenced(m,"(",")"));k.appendChild(l)},curl:function(l,h,j,n,g,k,f){var m=a.createElement("mrow");a.appendToken(m,"mo","\u2207");a.appendToken(m,"mo","\u00d7");var i=n[0].nodeName==="apply";if(i){m.appendChild(a.createmfenced(n,"(",")"))}else{a.applyTransform(m,n[0],f)}l.appendChild(m)},divergence:function(l,h,j,n,g,k,f){var m=a.createElement("mrow");a.appendToken(m,"mo","\u2207");a.appendToken(m,"mo","\u22c5");var i=n[0].nodeName==="apply";if(i){m.appendChild(a.createmfenced(n,"(",")"))}else{a.applyTransform(m,n[0],f)}l.appendChild(m)},not:function(l,h,j,n,g,k,f){var m=a.createElement("mrow");a.appendToken(m,"mo","\u00ac");var i=n[0].nodeName==="apply"||n[0].nodeName==="bind";if(i){a.appendToken(m,"mo","(")}a.applyTransform(m,n[0],f);if(i){a.appendToken(m,"mo",")")}l.appendChild(m)},divide:function(h,k,g,j,i,l,f){var m=a.createElement("mfrac");a.applyTransform(m,j[0],0);a.applyTransform(m,j[1],0);h.appendChild(m)},tendsto:function(l,i,j,m,h,k,f){var n;if(j.nodeName==="tendsto"){n=j.getAttribute("type")}else{n=a.getTextContent(m[0]);m=m.slice(1)}var g=(n==="above")?"\u2198":(n==="below")?"\u2197":"\u2192";a.transforms.binary(g,2)(l,i,j,m,h,k,f)},minus:function(m,i,k,o,g,l,f){var h=o.length===1?5:2;var n=a.createElement("mrow");var j=h<f;if(j){a.appendToken(n,"mo","(")}if(o.length===1){a.appendToken(n,"mo","-");a.applyTransform(n,o[0],h)}else{a.applyTransform(n,o[0],h);a.appendToken(n,"mo","-");var p;if(o[1].nodeName==="apply"){var q=a.getChildren(o[1])[0];p=q.nodeName==="plus"||q.nodeName==="minus"}if(p){a.appendToken(n,"mo","(")}a.applyTransform(n,o[1],h);if(p){a.appendToken(n,"mo",")")}}if(j){a.appendToken(n,"mo",")")}m.appendChild(n)},"complex-cartesian":function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","+");a.applyTransform(i,k[1],0);a.appendToken(i,"mo","\u2062");a.appendToken(i,"mi","i");h.appendChild(i)},"complex-polar":function(k,h,i,m,g,j,f){var l=a.createElement("mrow");a.applyTransform(l,m[0],0);a.appendToken(l,"mo","\u2062");var o=a.createElement("msup");a.appendToken(o,"mi","e");var n=a.createElement("mrow");a.applyTransform(n,m[1],0);a.appendToken(n,"mo","\u2062");a.appendToken(n,"mi","i");o.appendChild(n);l.appendChild(o);k.appendChild(l)},integer:function(h,k,g,j,i,l,f){a.applyTransform(h,j[0],0)},"based-integer":function(h,k,g,j,i,l,f){var m=a.createElement("msub");a.applyTransform(m,j[1],0);a.applyTransform(m,j[0],0);h.appendChild(m)},rational:function(h,k,g,j,i,l,f){var m=a.createElement("mfrac");a.applyTransform(m,j[0],0);a.applyTransform(m,j[1],0);h.appendChild(m)},times:function(p,h,m,r,g,n,f){var q=a.createElement("mrow");var k=f>3;if(k){a.appendToken(q,"mo","(")}for(var o=0,i=r.length;o<i;o++){if(o>0){a.appendToken(q,"mo",(r[o].nodeName==="cn")?"\u00D7":"\u2062")}a.applyTransform(q,r[o],3)}if(k){a.appendToken(q,"mo",")")}p.appendChild(q)},plus:function(s,k,p,u,g,q,f){var t=a.createElement("mrow");var o=f>2;if(o){a.appendToken(t,"mo","(")}for(var r=0,m=u.length;r<m;r++){var v=u[r];var h=a.getChildren(v);if(r>0){var i;if(a.settings.collapsePlusMinus){if(v.nodeName==="cn"&&!(h.length)&&(i=Number(a.getTextContent(v)))<0){a.appendToken(t,"mo","\u2212");a.appendToken(t,"mn",-i)}else{if(v.nodeName==="apply"&&h.length===2&&h[0].nodeName==="minus"){a.appendToken(t,"mo","\u2212");a.applyTransform(t,h[1],2)}else{if(v.nodeName==="apply"&&h.length>2&&h[0].nodeName==="times"&&h[1].nodeName==="cn"&&(i=Number(a.getTextContent(h[1])))<0){a.appendToken(t,"mo","\u2212");h[1].textContent=-i;a.applyTransform(t,v,2)}else{a.appendToken(t,"mo","+");a.applyTransform(t,v,2)}}}}else{a.appendToken(t,"mo","+");a.applyTransform(t,v,2)}}else{a.applyTransform(t,v,2)}}if(o){a.appendToken(t,"mo",")")}s.appendChild(t)},transpose:function(h,k,g,j,i,m,f){var l=a.createElement("msup");a.applyTransform(l,j[0],f);a.appendToken(l,"mi","T");h.appendChild(l)},power:function(h,k,g,j,i,m,f){var l=a.createElement("msup");a.applyTransform(l,j[0],3);a.applyTransform(l,j[1],f);h.appendChild(l)},selector:function(p,h,k,s,g,n,f){var r=a.createElement("msub");var q=s?s[0]:a.createElement("mrow");a.applyTransform(r,q,0);var m=a.createElement("mrow");for(var o=1,j=s.length;o<j;o++){if(o!=1){a.appendToken(m,"mo",",")}a.applyTransform(m,s[o],0)}r.appendChild(m);p.appendChild(r)},log:function(k,h,i,o,g,j,f){var m=a.createElement("mrow");var l=a.createElement("mi");a.setTextContent(l,"log");if(j.length&&j[0].nodeName==="logbase"){var n=a.createElement("msub");n.appendChild(l);a.applyTransform(n,a.getChildren(j[0])[0],0);m.appendChild(n)}else{m.appendChild(l)}a.applyTransform(m,o[0],7);k.appendChild(m)},"int":function(p,y,B,m,g,t,n){var s=a.createElement("mrow");var x=a.createElement("mo");a.setTextContent(x,"\u222B");var q=a.createElement("msubsup");q.appendChild(x);var k=a.createElement("mrow");var o,A,w,v,u,z;for(A=0,u=t.length;A<u;A++){if(t[A].nodeName==="lowlimit"||t[A].nodeName==="condition"||t[A].nodeName==="domainofapplication"){o=a.getChildren(t[A]);for(w=0,z=o.length;w<z;w++){a.applyTransform(k,o[w],0)}}else{o=a.getChildren(t[A]);if(t[A].nodeName==="interval"&&o.length===2){a.applyTransform(k,o[0],0)}}}q.appendChild(k);var h=a.createElement("mrow");for(A=0,u=t.length;A<u;A++){if(t[A].nodeName==="uplimit"){o=a.getChildren(t[A]);for(w=0,z=o.length;w<z;w++){a.applyTransform(h,o[w],0)}break}else{if(t[A].nodeName==="interval"){o=a.getChildren(t[A]);a.applyTransform(h,o[o.length-1],0);break}}}q.appendChild(h);s.appendChild(q);for(A=0,v=m.length;A<v;A++){a.applyTransform(s,m[A],0)}for(A=0,v=g.length;A<v;A++){var r=g[A];o=a.getChildren(r);if(o.length){var f=a.createElement("mrow");a.appendToken(f,"mi","d");a.applyTransform(f,o[0],0);s.appendChild(f)}}p.appendChild(s)},inverse:function(k,h,i,l,g,j,f){var o=a.createElement("msup");var m=(l.length)?l[0]:a.createElement("mrow");a.applyTransform(o,m,f);var n=a.createElement("mfenced");a.appendToken(n,"mn","-1");o.appendChild(n);k.appendChild(o)},quotient:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","\u230A");if(k.length){a.applyTransform(i,k[0],0);a.appendToken(i,"mo","/");if(k.length>1){a.applyTransform(i,k[1],0)}}a.appendToken(i,"mo","\u230B");h.appendChild(i)},factorial:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.applyTransform(i,k[0],4);a.appendToken(i,"mo","!");h.appendChild(i)},root:function(p,j,m,q,h,n,f){var g;if(m.nodeName==="root"&&(n.length===0||(n[0].nodeName==="degree"&&a.getTextContent(n[0])==="2"))){g=a.createElement("msqrt");for(var o=0,k=q.length;o<k;o++){a.applyTransform(g,q[o],0)}}else{g=a.createElement("mroot");a.applyTransform(g,q[0],0);var r=(m.nodeName==="root")?n[0].childNodes[0]:q[1];a.applyTransform(g,r,0)}p.appendChild(g)},diff:function(p,y,B,g,f,t,m){if(f.length){var v;var q=a.createElement("mfrac");var x=a.createElement("mrow");var z=a.createElement("mrow");q.appendChild(x);q.appendChild(z);var r,k,o,s;var A=a.createElement("mi");a.setTextContent(A,"d");var n=a.getChildren(f[0]);for(var w=0,u=n.length;w<u;w++){if(n[w].nodeName==="degree"){var h=a.getChildren(n[w])[0];if(a.getTextContent(h)!="1"){k=h;o=a.createElement("msup");o.appendChild(A);A=o;a.applyTransform(A,k,0)}}else{r=n[w]}}x.appendChild(A);if(g.length){switch(g[0].nodeName){case"apply":case"bind":case"reln":s=a.createElement("mrow");s.appendChild(q);a.applyTransform(s,g[0],3);v=s;break;default:a.applyTransform(x,g[0],0);v=q}}a.appendToken(z,"mi","d");if(k){var i=a.createElement("msup");a.applyTransform(i,r,0);a.applyTransform(i,k,0);z.appendChild(i)}else{a.applyTransform(z,r,0)}p.appendChild(v)}else{o=a.createElement("msup");s=a.createElement("mrow");o.appendChild(s);a.applyTransform(s,g[0],0);a.appendToken(o,"mo","\u2032");p.appendChild(o)}},partialdiff:function(t,I,N,g,f,D,o){var q,B,A;var v=a.createElement("mfrac");var H=a.createElement("mrow");var M=a.createElement("mrow");v.appendChild(H);v.appendChild(M);var L,m,p;if(f.length===0&&g.length===2&&g[0].nodeName==="list"){if(g[1].nodeName==="lambda"){m=a.getChildren(g[0]).length;if(m!=1){q=a.createElement("msup");a.appendToken(q,"mo","\u2202");a.appendToken(q,"mn",m);H.appendChild(q)}else{a.appendToken(H,"mo","\u2202")}p=a.getChildren(g[1]);L=p[p.length-1];var h=[];var r=a.getChildren(g[1]);var z=a.getChildren(g[0]);for(var K=0,F=r.length;K<F;K++){if(r[K].nodeName==="bvar"){h.push(a.getChildren(r[K])[0])}}var y=null;m=0;function u(O,l){a.appendToken(M,"mo","\u2202");var j=h[O];if(l>1){var i=a.createElement("msup");a.applyTransform(i,j,0);a.appendToken(i,"mn",l);M.appendChild(i)}else{a.applyTransform(M,j,0)}}for(K=0,F=z.length;K<F;K++){var C=Number(a.getTextContent(z[K]))-1;if(y!==null&&C!=y){u(y,m);m=0}y=C;m+=1}if(y){u(y,m)}}else{A=a.createElement("mrow");B=a.createElement("msub");a.appendToken(B,"mi","D");var w=a.getChildren(g[0]);B.appendChild(a.createmfenced(w,"",""));A.appendChild(B);a.applyTransform(A,g[1],0);t.appendChild(A);return}}else{q=a.createElement("msup");H.appendChild(q);a.appendToken(q,"mo","\u2202");var s=a.createElement("mrow");q.appendChild(s);var J;if(D.length&&D[0].nodeName==="degree"&&a.getChildren(D[0]).length){J=a.getChildren(D[0])[0];a.applyTransform(s,J,0)}else{m=0;var x=false;for(K=0,F=f.length;K<F;K++){p=a.getChildren(f[K]);if(p.length===2){for(var G=0;G<2;G++){if(p[G].nodeName==="degree"){if(/^\s*\d+\s*$/.test(a.getTextContent(p[G]))){m+=Number(a.getTextContent(p[G]))}else{if(x){a.appendToken(s,"mo","+")}x=true;a.applyTransform(s,a.getChildren(p[G])[0],0)}}}}else{m++}}if(m>0){if(x){a.appendToken(s,"mo","+")}a.appendToken(s,"mn",m)}}if(g.length){L=g[0]}for(K=0,F=f.length;K<F;K++){a.appendToken(M,"mo","\u2202");p=a.getChildren(f[K]);if(p.length===2){for(G=0;G<2;G++){if(p[G].nodeName==="degree"){var k=a.createElement("msup");a.applyTransform(k,p[1-G],0);var E=a.getChildren(p[G])[0];a.applyTransform(k,E,0);M.appendChild(k)}}}else{if(p.length===1){a.applyTransform(M,p[0],0)}}}}if(L){switch(L.nodeName){case"apply":case"bind":case"reln":A=a.createElement("mrow");A.appendChild(v);a.applyTransform(A,L,3);outNode=A;break;default:a.applyTransform(H,L,0);outNode=v}}else{outNode=v}t.appendChild(outNode)}};a.applyTokens.size=a.applyTokens.card;return a})(MathJax.Hub);MathJax.Hub.Register.StartupHook("MathML Jax Ready",function(){var b=MathJax.InputJax.MathML;var a=MathJax.Extension["MathML/content-mathml"];a.mbase=MathJax.ElementJax.mml.mbase;a.MML=MathJax.ElementJax.mml;b.DOMfilterHooks.Add(function(c){c.math=a.transformElement(c.math)});MathJax.Hub.Startup.signal.Post("MathML/content-mathml Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/MathML/content-mathml.js");
+MathJax.Extension["MathML/content-mathml"]=(function(d){var c=d.Browser.isMSIE;if(c){try{document.namespaces.add("m","http://www.w3.org/1998/Math/MathML")}catch(e){}}var b=d.CombineConfig("MathML.content-mathml",{collapsePlusMinus:true,cistyles:{vector:"bold-italic",matrix:"bold-upright"},symbols:{gamma:"\u03B3"}});var a={version:"2.7.9",settings:b,transformElements:function(h){for(var g=0,f=h.length;g<f;g++){var j=a.transformElement(h[g]);h[g].parentNode.replaceChild(j,h[g])}},transformElement:function(h){if(h.nodeName.indexOf(":")>=0){h=a.cloneNode(h,true)}var i=a.cloneNode(h);for(var g=0,f=h.childNodes.length;g<f;g++){a.applyTransform(i,h.childNodes[g],0)}return i},getTextContent:function(f){return f.text!==undefined?f.text:f.innerText!==undefined?f.innerText:f.textContent},setTextContent:function(h,j){for(var g=0,f=h.childNodes.length;g<f;g++){if(h.childNodes[g].nodeType===3){h.removeChild(h.childNodes[g]);g--;f--}}h.appendChild(document.createTextNode(j))},cloneNode:function(j,g){var m,h,f;if(j.nodeType===1){m=a.createElement(j.nodeName);for(h=0,f=j.attributes.length;h<f;h++){m.setAttribute(j.attributes[h].nodeName,j.attributes[h].nodeValue)}if(g){for(h=0,f=j.childNodes.length;h<f;h++){var k=a.cloneNode(j.childNodes[h],true);m.appendChild(k)}}}else{if(j.nodeType===3){m=document.createTextNode(j.nodeValue)}}return m},createElement:function(f){f=f.replace(/^.*:/,"");return(document.createElementNS?document.createElementNS("http://www.w3.org/1998/Math/MathML",f):document.createElement("m:"+f))},getChildren:function(i){var h=[];for(var g=0,f=i.childNodes.length;g<f;g++){if(i.childNodes[g].nodeType===1){h.push(i.childNodes[g])}}return h},classifyChildren:function(m){var k=[],g=[],o=[];for(var i=0,f=m.childNodes.length;i<f;i++){if(m.childNodes[i].nodeType===1){var n=m.childNodes[i],h=n.nodeName;if(h==="bvar"){g.push(n)}else{if(h==="condition"||h==="degree"||h==="momentabout"||h==="logbase"||h==="lowlimit"||h==="uplimit"||(h==="interval"&&k.length<2)||h==="domainofapplication"){o.push(n)}else{k.push(n)}}}}return{args:k,bvars:g,qualifiers:o}},appendToken:function(f,h,j){var i=a.createElement(h);j=j.replace(/^\s+/,"").replace(/\s+$/,"");if(h==="mn"&&j.substr(0,1)==="-"){i.appendChild(document.createTextNode(j.substr(1)));var g=a.createElement("mrow");a.appendToken(g,"mo","\u2212");g.appendChild(i);i=g}else{i.appendChild(document.createTextNode(j))}f.appendChild(i);return i},applyTransform:function(o,k,f){if(!k){var h=a.createElement("merror");a.appendToken(h,"mtext","Missing child node");o.appendChild(h);return}var p=k.nodeName.replace(/.*:/,"");if(k.nodeType===1){if(a.tokens[p]){a.tokens[p](o,k,f)}else{if(k.childNodes.length===0){var g=a.MML[p];if(g&&g.isa&&g.isa(a.mbase)){o.appendChild(a.cloneNode(k))}else{a.appendToken(o,"mi",p)}}else{var i=a.cloneNode(k);o.appendChild(i);for(var n=0,m=k.childNodes.length;n<m;n++){a.applyTransform(i,k.childNodes[n],f)}}}}else{if(k.nodeType===3){o.appendChild(a.cloneNode(k))}}},createmfenced:function(i,h,m){var k=a.createElement("mfenced");k.setAttribute("open",h);k.setAttribute("close",m);for(var g=0,f=i.length;g<f;g++){a.applyTransform(k,i[g],0)}return k},transforms:{identifier:function(f){return function(h,i,g){a.appendToken(h,"mi",f)}},set:function(g,h){var f=a.transforms.bind("",",","|");return function(j,n){var o=a.classifyChildren(n);var m=o.args,l=o.bvars,p=o.qualifiers;if(l.length){var i=o.args[0];m=m.slice(1);var k=a.createElement("mfenced");k.setAttribute("open",g);k.setAttribute("close",h);f(k,n,i,m,l,p,0);j.appendChild(k)}else{j.appendChild(a.createmfenced(m,g,h))}}},token:function(f){return function(g,m){if(m.childNodes.length===1&&m.childNodes[0].nodeType===3){a.appendToken(g,f,a.getTextContent(m))}else{var i=a.createElement("mrow");for(var k=0,h=m.childNodes.length;k<h;k++){if(m.childNodes[k].nodeType===3){a.appendToken(g,f,a.getTextContent(m.childNodes[k]))}else{a.applyTransform(i,m.childNodes[k],0)}}if(i.childNodes.length){g.appendChild(i)}}}},binary:function(f,g){return function(n,j,l,p,i,m,h){var o=a.createElement("mrow");var k=g<h||(g==h&&f==="-");if(k){a.appendToken(o,"mo","(")}if(p.length>1){a.applyTransform(o,p[0],g)}a.appendToken(o,"mo",f);if(p.length>0){var q=p[(p.length===1)?0:1];a.applyTransform(o,q,g)}if(k){a.appendToken(o,"mo",")")}n.appendChild(o)}},infix:function(f,g){return function(r,k,o,t,i,p,h){var s=a.createElement("mrow");var n=h>g;if(n){a.appendToken(s,"mo","(")}for(var q=0,m=t.length;q<m;q++){if(q>0){a.appendToken(s,"mo",f)}a.applyTransform(s,t[q],g)}if(n){a.appendToken(s,"mo",")")}r.appendChild(s)}},iteration:function(f,g){return function(q,y,C,l,h,u,m){var t=a.createElement("mrow");var x=a.createElement("mo");a.setTextContent(x,f);var o=a.createElement("munderover");o.appendChild(x);var k=a.createElement("mrow");var A,w,v,B,n,s,z,r;for(A=0,v=u.length;A<v;A++){if(u[A].nodeName==="lowlimit"||u[A].nodeName==="condition"||u[A].nodeName==="domainofapplication"){if(u[A].nodeName==="lowlimit"){for(w=0,B=h.length;w<B;w++){s=h[w];n=a.getChildren(s);if(n.length){a.applyTransform(k,n[0],0)}}if(h.length){a.appendToken(k,"mo",g)}}n=a.getChildren(u[A]);for(w=0;w<n.length;w++){a.applyTransform(k,n[w],0)}}else{n=a.getChildren(u[A]);if(u[A].nodeName==="interval"&&n.length===2){for(w=0,B=h.length;w<B;w++){s=h[w];n=a.getChildren(s);if(n.length){a.applyTransform(k,n[0],0)}}if(h.length){a.appendToken(k,"mo","=")}a.applyTransform(k,a.getChildren(u[A])[0],0)}}}o.appendChild(k);var p=a.createElement("mrow");for(A=0,v=u.length;A<v;A++){if(u[A].nodeName==="uplimit"||u[A].nodeName==="interval"){n=a.getChildren(u[A]);for(w=0,z=n.length;w<z;w++){a.applyTransform(p,n[w],0)}}}o.appendChild(p);t.appendChild(o);for(A=0,r=l.length;A<r;A++){a.applyTransform(t,l[A],m)}q.appendChild(t)}},bind:function(g,f,h){return function(w,o,r,z,m,s,k){var y=a.createElement("mrow");var n,v,u,q,p,B;if(g){a.appendToken(y,"mo",g)}for(u=0,q=m.length;u<q;u++){var t=m[u];if(u>0){a.appendToken(y,"mo",",")}n=a.getChildren(t);if(n.length){a.applyTransform(y,n[0],0)}}var x=a.createElement("mrow");var A=false;for(v=0,p=s.length;v<p;v++){if(s[v].nodeName==="condition"){A=true;n=a.getChildren(s[v]);for(u=0,B=n.length;u<B;u++){a.applyTransform(x,n[u],0)}}}if(A){a.appendToken(y,"mo",h)}y.appendChild(x);for(v=0,p=s.length;v<p;v++){if(s[v].nodeName!="condition"){a.appendToken(y,"mo","\u2208");n=a.getChildren(s[v]);for(u=0,B=n.length;u<B;u++){a.applyTransform(y,n[u],0)}}}if(z.length&&(m.length||n.length)){a.appendToken(y,"mo",f)}for(v=0,q=z.length;v<q;v++){a.applyTransform(y,z[v],0)}w.appendChild(y)}},fn:function(f){return function(i,m,h,l,k,n,g){var j=a.createElement("mrow");if(h.childNodes.length){a.applyTransform(j,h,1)}else{a.appendToken(j,"mi",f)}a.appendToken(j,"mo","\u2061");j.appendChild(a.createmfenced(l,"(",")"));i.appendChild(j)}},minmax:function(f){return function(q,j,m,s,h,o,g){var r=a.createElement("mrow");a.appendToken(r,"mi",f);var n=a.createElement("mrow");a.appendToken(n,"mo","{");for(var p=0,k=s.length;p<k;p++){if(p>0){a.appendToken(n,"mo",",")}a.applyTransform(n,s[p],0)}if(o.length){a.appendToken(n,"mo","|");for(p=0,k=o.length;p<k;p++){a.applyTransform(n,o[p],0)}}a.appendToken(n,"mo","}");r.appendChild(n);q.appendChild(r)}}}};a.tokens={ci:function(g,i,f){if(i.childNodes.length===1&&i.childNodes[0].nodeType===3){var h=a.appendToken(g,"mi",a.getTextContent(i));var j=i.getAttribute("type");if(j in a.settings.cistyles){h.setAttribute("mathvariant",a.settings.cistyles[j])}}else{a.transforms.token("mi")(g,i,f)}},cs:a.transforms.token("ms"),csymbol:function(g,h,f){var i=h.getAttribute("cd");if(i&&a.contentDictionaries[i]){a.contentDictionaries[i](g,h,f)}else{if(a.settings.symbols[name]){a.appendToken(g,"mi",a.settings.symbols[name])}else{a.tokens.ci(g,h)}}},fn:function(g,h,f){a.applyTransform(g,a.getChildren(h)[0],f)},naturalnumbers:a.transforms.identifier("\u2115"),integers:a.transforms.identifier("\u2124"),reals:a.transforms.identifier("\u211D"),rationals:a.transforms.identifier("\u211A"),complexes:a.transforms.identifier("\u2102"),primes:a.transforms.identifier("\u2119"),exponentiale:a.transforms.identifier("e"),imaginaryi:a.transforms.identifier("i"),notanumber:a.transforms.identifier("NaN"),eulergamma:a.transforms.identifier("\u03B3"),gamma:a.transforms.identifier("\u0263"),pi:a.transforms.identifier("\u03C0"),infinity:a.transforms.identifier("\u221E"),emptyset:a.transforms.identifier("\u2205"),"true":a.transforms.identifier("true"),"false":a.transforms.identifier("false"),set:a.transforms.set("{","}"),list:a.transforms.set("(",")"),interval:function(g,i,f){var k=i.getAttribute("closure");var h,j;switch(k){case"open":h="(";j=")";break;case"open-closed":h="(";j="]";break;case"closed-open":h="[";j=")";break;case"closed":default:h="[";j="]"}g.appendChild(a.createmfenced(a.getChildren(i),h,j))},apply:function(m,j,f){var i=a.classifyChildren(j);var k=i.args[0];var n=i.args.slice(1),h=i.bvars,l=i.qualifiers;if(k){var g=k.nodeName;g=(g==="csymbol")?a.getTextContent(k).toLowerCase():g;if(a.applyTokens[g]){a.applyTokens[g](m,j,k,n,h,l,f)}else{a.transforms.fn(g)(m,j,k,n,h,l,f)}}else{m.appendChild(a.createElement("mrow"))}},cn:function(m,h,f){var p=h.getAttribute("type");var g=h.getAttribute("base");if(p||g){if(g){p="based-integer"}switch(p){case"integer":case"real":case"double":case"constant":a.transforms.token("mn")(m,h);break;case"hexdouble":a.appendToken(m,"mn","0x"+a.getTextContent(h));break;default:var q=a.createElement("apply");var n=a.createElement("mrow");var o=a.createElement(p);q.appendChild(o);if(g){a.appendToken(q,"mn",g)}for(var k=0,i=h.childNodes.length;k<i;k++){if(h.childNodes[k].nodeType===3){a.appendToken(n,"cn",a.getTextContent(h.childNodes[k]))}else{if(h.childNodes[k].nodeName==="sep"){q.appendChild(n);n=a.createElement("mrow")}else{n.appendChild(a.cloneNode(h.childNodes[k],true))}}}q.appendChild(n);a.applyTransform(m,q,0)}}else{a.transforms.token("mn")(m,h)}},vector:function(o,h,f){var p=a.createElement("mrow");a.appendToken(p,"mo","(");var m=a.createElement("mtable");var g=a.getChildren(h);for(var n=0,j=g.length;n<j;n++){var k=a.createElement("mtr");var q=a.createElement("mtd");a.applyTransform(q,g[n],0);k.appendChild(q);m.appendChild(k)}p.appendChild(m);a.appendToken(p,"mo",")");o.appendChild(p)},piecewise:function(g,k,f){var j=a.createElement("mrow");a.appendToken(j,"mo","{");var o=a.createElement("mtable");j.appendChild(o);var n=a.getChildren(k);for(var m=0,h=n.length;m<h;m++){a.applyTransform(o,n[m],0)}g.appendChild(j)},piece:function(h,m,g){var f=a.createElement("mtr");var o=a.getChildren(m);for(var n=0,j=o.length;n<j;n++){var k=a.createElement("mtd");f.appendChild(k);a.applyTransform(k,o[n],0);if(n===0){k=a.createElement("mtd");a.appendToken(k,"mtext","\u00A0if\u00A0");f.appendChild(k)}}h.appendChild(f)},otherwise:function(h,j,g){var f=a.createElement("mtr");var k=a.getChildren(j);if(k.length){var i=a.createElement("mtd");f.appendChild(i);a.applyTransform(i,k[0],0);i=a.createElement("mtd");i.setAttribute("columnspan","2");a.appendToken(i,"mtext","\u00A0otherwise");f.appendChild(i)}h.appendChild(f)},matrix:function(q,j,f){var h=a.classifyChildren(j);var t=h.args,g=h.bvars,n=h.qualifiers;if(g.length||n.length){var r=a.createElement("mrow");a.appendToken(r,"mo","[");var s=a.createElement("msub");a.appendToken(s,"mi","m");var m=a.createElement("mrow");for(var p=0,k=g.length;p<k;p++){if(p!=0){a.appendToken(m,"mo",",")}a.applyTransform(m,g[p].childNodes[0],0)}s.appendChild(m);r.appendChild(s);var u=a.cloneNode(s,true);a.appendToken(r,"mo","|");r.appendChild(u);a.appendToken(r,"mo","=");for(p=0,k=t.length;p<k;p++){if(p!=0){a.appendToken(r,"mo",",")}a.applyTransform(r,t[p],0)}a.appendToken(r,"mo",";");for(p=0,k=n.length;p<k;p++){if(p!=0){a.appendToken(r,"mo",",")}a.applyTransform(r,n[p],0)}a.appendToken(r,"mo","]");q.appendChild(r)}else{var v=a.createElement("mfenced");var o=a.createElement("mtable");for(p=0,k=t.length;p<k;p++){a.applyTransform(o,t[p],0)}v.appendChild(o);q.appendChild(v)}},matrixrow:function(h,m,g){var f=a.createElement("mtr");var o=a.getChildren(m);for(var n=0,j=o.length;n<j;n++){var k=a.createElement("mtd");a.applyTransform(k,o[n],0);f.appendChild(k)}h.appendChild(f)},condition:function(g,k,f){var j=a.createElement("mrow");var n=a.getChildren(k);for(var m=0,h=n.length;m<h;m++){a.applyTransform(j,n[m],0)}g.appendChild(j)},lambda:function(t,k,f){var o=a.createElement("lambda");var h=a.classifyChildren(k);var w=h.args,g=h.bvars,q=h.qualifiers;var s,n,m;if(g.length){a.applyTokens.lambda(t,k,o,w,g,q,f)}else{var u=a.createElement("mrow");for(s=0,n=w.length;s<n;s++){a.applyTransform(u,w[s],0)}if(q.length){var v=a.createElement("msub");a.appendToken(v,"mo","|");var p=a.createElement("mrow");for(s=0,m=q.length;s<m;s++){h=a.getChildren(q[s]);for(var r=0,x=h.length;r<x;r++){a.applyTransform(p,h[r],0)}}v.appendChild(p);u.appendChild(v)}t.appendChild(u)}},ident:function(g,h,f){a.appendToken(g,"mi","id")},domainofapplication:function(g,h,f){var i=a.createElement("merror");a.appendToken(i,"mtext","unexpected domainofapplication");g.appendChild(i)},share:function(g,i,f){var h=a.createElement("mi");h.setAttribute("href",i.getAttribute("href"));a.setTextContent(h,"Share "+i.getAttribute("href"));g.appendChild(h)},cerror:function(g,j,f){var n=a.createElement("merror");var m=a.getChildren(j);for(var k=0,h=m.length;k<h;k++){a.applyTransform(n,m[k],0)}g.appendChild(n)},semantics:function(g,k,f){var j=a.createElement("mrow");var n=a.getChildren(k);if(n.length){var o=n[0];for(var m=0,h=n.length;m<h;m++){if(n[m].nodeName==="annotation-xml"&&n[m].getAttribute("encoding")==="MathML-Presentation"){o=n[m];break}}a.applyTransform(j,o,0)}g.appendChild(j)},"annotation-xml":function(g,k,f){var j=a.createElement("mrow");var n=a.getChildren(k);for(var m=0,h=n.length;m<h;m++){a.applyTransform(j,n[m],0)}g.appendChild(j)}};a.tokens.reln=a.tokens.bind=a.tokens.apply;a.contentDictionaries={setname1:function(g,i,f){var j={C:"\u2102",N:"\u2115",P:"\u2119",Q:"\u211A",R:"\u211D",Z:"\u2124"};var h=a.getTextContent(i);a.appendToken(g,"mi",j[h])},aritherror:function(g,i,f){var h=a.getTextContent(i);a.appendToken(g,"mi",h+":")}};a.applyTokens={rem:a.transforms.binary("mod",3),divide:a.transforms.binary("/",3),remainder:a.transforms.binary("mod",3),implies:a.transforms.binary("\u21D2",3),factorof:a.transforms.binary("|",3),"in":a.transforms.binary("\u2208",3),notin:a.transforms.binary("\u2209",3),notsubset:a.transforms.binary("\u2288",2),notprsubset:a.transforms.binary("\u2284",2),setdiff:a.transforms.binary("\u2216",2),eq:a.transforms.infix("=",1),compose:a.transforms.infix("\u2218",0),left_compose:a.transforms.infix("\u2218",1),xor:a.transforms.infix("xor",3),neq:a.transforms.infix("\u2260",1),gt:a.transforms.infix(">",1),lt:a.transforms.infix("<",1),geq:a.transforms.infix("\u2265",1),leq:a.transforms.infix("\u2264",1),equivalent:a.transforms.infix("\u2261",1),approx:a.transforms.infix("\u2248",1),subset:a.transforms.infix("\u2286",2),prsubset:a.transforms.infix("\u2282",2),cartesianproduct:a.transforms.infix("\u00D7",2),cartesian_product:a.transforms.infix("\u00D7",2),vectorproduct:a.transforms.infix("\u00D7",2),scalarproduct:a.transforms.infix(".",2),outerproduct:a.transforms.infix("\u2297",2),sum:a.transforms.iteration("\u2211","="),product:a.transforms.iteration("\u220F","="),forall:a.transforms.bind("\u2200",".",","),exists:a.transforms.bind("\u2203",".",","),lambda:a.transforms.bind("\u03BB",".",","),limit:a.transforms.iteration("lim","\u2192"),sdev:a.transforms.fn("\u03c3"),determinant:a.transforms.fn("det"),max:a.transforms.minmax("max"),min:a.transforms.minmax("min"),real:a.transforms.fn("\u211b"),imaginary:a.transforms.fn("\u2111"),set:a.transforms.set("{","}"),list:a.transforms.set("(",")"),exp:function(h,k,g,j,i,m,f){var l=a.createElement("msup");a.appendToken(l,"mi","e");a.applyTransform(l,j[0],0);h.appendChild(l)},union:function(h,k,g,j,i,l,f){if(i.length){a.transforms.iteration("\u22C3","=")(h,k,g,j,i,l,f)}else{a.transforms.infix("\u222A",2)(h,k,g,j,i,l,f)}},intersect:function(q,i,n,s,g,o,f){if(g.length){a.transforms.iteration("\u22C2","=")(q,i,n,s,g,o,f)}else{var r=a.createElement("mrow");var m=f>2;if(m){a.appendToken(r,"mo","(")}for(var p=0,k=s.length;p<k;p++){var t=false;if(p>0){a.appendToken(r,"mo","\u2229");if(s[p].nodeName==="apply"){var h=a.getChildren(s[p])[0];t=h.nodeName==="union"}}if(t){a.appendToken(r,"mo","(")}a.applyTransform(r,s[p],2);if(t){a.appendToken(r,"mo",")")}}if(m){a.appendToken(r,"mo",")")}q.appendChild(r)}},floor:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","\u230a");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","\u230b");h.appendChild(i)},conjugate:function(h,l,g,k,j,m,f){var i=a.createElement("mover");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","\u00af");h.appendChild(i)},abs:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","|");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","|");h.appendChild(i)},and:function(h,k,g,j,i,l,f){if(i.length||l.length){a.transforms.iteration("\u22c0","=")(h,k,g,j,i,l,4)}else{a.transforms.infix("\u2227",2)(h,k,g,j,i,l,f)}},or:function(h,k,g,j,i,l,f){if(i.length||l.length){a.transforms.iteration("\u22c1","=")(h,k,g,j,i,l,4)}else{a.transforms.infix("\u2228",2)(h,k,g,j,i,l,f)}},xor:function(h,k,g,j,i,l,f){if(i.length||l.length){a.transforms.iteration("xor","=")(h,k,g,j,i,l,4)}else{a.transforms.infix("xor",2)(h,k,g,j,i,l,f)}},card:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","|");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","|");h.appendChild(i)},mean:function(h,l,g,k,j,m,f){if(k.length===1){var i=a.createElement("mover");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","\u00af");h.appendChild(i)}else{h.appendChild(a.createmfenced(k,"\u27e8","\u27e9"))}},moment:function(s,k,o,w,g,p,f){var n,v,h,r,q,m;for(r=0,m=p.length;r<m;r++){if(p[r].nodeName==="degree"){n=p[r]}else{if(p[r].nodeName==="momentabout"){v=p[r]}}}var t=a.createElement("mrow");a.appendToken(t,"mo","\u27e8");var y=a.createElement("mrow");if(w.length>1){y.appendChild(a.createmfenced(w,"(",")"))}else{a.applyTransform(y,w[0],0)}if(n){var x=a.createElement("msup");x.appendChild(y);h=a.getChildren(n);for(q=0,m=h.length;q<m;q++){a.applyTransform(x,h[q],0)}t.appendChild(x)}else{t.appendChild(y)}a.appendToken(t,"mo","\u27e9");if(v){var u=a.createElement("msub");u.appendChild(t);h=a.getChildren(v);for(q=0,m=h.length;q<m;q++){a.applyTransform(u,h[q],0)}s.appendChild(u)}else{s.appendChild(t)}},variance:function(k,h,i,m,g,j,f){var l=a.createElement("mrow");var n=a.createElement("msup");a.appendToken(n,"mo","\u03c3");a.appendToken(n,"mn","2");l.appendChild(n);a.appendToken(l,"mo","\u2061");l.appendChild(a.createmfenced(m,"(",")"));k.appendChild(l)},grad:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","\u2207");a.appendToken(i,"mo","\u2061");i.appendChild(a.createmfenced(k,"(",")"));h.appendChild(i)},laplacian:function(k,h,i,m,g,j,f){var l=a.createElement("mrow");var n=a.createElement("msup");a.appendToken(n,"mo","\u2207");a.appendToken(n,"mn","2");l.appendChild(n);a.appendToken(l,"mo","\u2061");l.appendChild(a.createmfenced(m,"(",")"));k.appendChild(l)},curl:function(l,h,j,n,g,k,f){var m=a.createElement("mrow");a.appendToken(m,"mo","\u2207");a.appendToken(m,"mo","\u00d7");var i=n[0].nodeName==="apply";if(i){m.appendChild(a.createmfenced(n,"(",")"))}else{a.applyTransform(m,n[0],f)}l.appendChild(m)},divergence:function(l,h,j,n,g,k,f){var m=a.createElement("mrow");a.appendToken(m,"mo","\u2207");a.appendToken(m,"mo","\u22c5");var i=n[0].nodeName==="apply";if(i){m.appendChild(a.createmfenced(n,"(",")"))}else{a.applyTransform(m,n[0],f)}l.appendChild(m)},not:function(l,h,j,n,g,k,f){var m=a.createElement("mrow");a.appendToken(m,"mo","\u00ac");var i=n[0].nodeName==="apply"||n[0].nodeName==="bind";if(i){a.appendToken(m,"mo","(")}a.applyTransform(m,n[0],f);if(i){a.appendToken(m,"mo",")")}l.appendChild(m)},divide:function(h,k,g,j,i,l,f){var m=a.createElement("mfrac");a.applyTransform(m,j[0],0);a.applyTransform(m,j[1],0);h.appendChild(m)},tendsto:function(l,i,j,m,h,k,f){var n;if(j.nodeName==="tendsto"){n=j.getAttribute("type")}else{n=a.getTextContent(m[0]);m=m.slice(1)}var g=(n==="above")?"\u2198":(n==="below")?"\u2197":"\u2192";a.transforms.binary(g,2)(l,i,j,m,h,k,f)},minus:function(m,i,k,o,g,l,f){var h=o.length===1?5:2;var n=a.createElement("mrow");var j=h<f;if(j){a.appendToken(n,"mo","(")}if(o.length===1){a.appendToken(n,"mo","-");a.applyTransform(n,o[0],h)}else{a.applyTransform(n,o[0],h);a.appendToken(n,"mo","-");var p;if(o[1].nodeName==="apply"){var q=a.getChildren(o[1])[0];p=q.nodeName==="plus"||q.nodeName==="minus"}if(p){a.appendToken(n,"mo","(")}a.applyTransform(n,o[1],h);if(p){a.appendToken(n,"mo",")")}}if(j){a.appendToken(n,"mo",")")}m.appendChild(n)},"complex-cartesian":function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.applyTransform(i,k[0],0);a.appendToken(i,"mo","+");a.applyTransform(i,k[1],0);a.appendToken(i,"mo","\u2062");a.appendToken(i,"mi","i");h.appendChild(i)},"complex-polar":function(k,h,i,m,g,j,f){var l=a.createElement("mrow");a.applyTransform(l,m[0],0);a.appendToken(l,"mo","\u2062");var o=a.createElement("msup");a.appendToken(o,"mi","e");var n=a.createElement("mrow");a.applyTransform(n,m[1],0);a.appendToken(n,"mo","\u2062");a.appendToken(n,"mi","i");o.appendChild(n);l.appendChild(o);k.appendChild(l)},integer:function(h,k,g,j,i,l,f){a.applyTransform(h,j[0],0)},"based-integer":function(h,k,g,j,i,l,f){var m=a.createElement("msub");a.applyTransform(m,j[1],0);a.applyTransform(m,j[0],0);h.appendChild(m)},rational:function(h,k,g,j,i,l,f){var m=a.createElement("mfrac");a.applyTransform(m,j[0],0);a.applyTransform(m,j[1],0);h.appendChild(m)},times:function(p,h,m,r,g,n,f){var q=a.createElement("mrow");var k=f>3;if(k){a.appendToken(q,"mo","(")}for(var o=0,i=r.length;o<i;o++){if(o>0){a.appendToken(q,"mo",(r[o].nodeName==="cn")?"\u00D7":"\u2062")}a.applyTransform(q,r[o],3)}if(k){a.appendToken(q,"mo",")")}p.appendChild(q)},plus:function(s,k,p,u,g,q,f){var t=a.createElement("mrow");var o=f>2;if(o){a.appendToken(t,"mo","(")}for(var r=0,m=u.length;r<m;r++){var v=u[r];var h=a.getChildren(v);if(r>0){var i;if(a.settings.collapsePlusMinus){if(v.nodeName==="cn"&&!(h.length)&&(i=Number(a.getTextContent(v)))<0){a.appendToken(t,"mo","\u2212");a.appendToken(t,"mn",-i)}else{if(v.nodeName==="apply"&&h.length===2&&h[0].nodeName==="minus"){a.appendToken(t,"mo","\u2212");a.applyTransform(t,h[1],2)}else{if(v.nodeName==="apply"&&h.length>2&&h[0].nodeName==="times"&&h[1].nodeName==="cn"&&(i=Number(a.getTextContent(h[1])))<0){a.appendToken(t,"mo","\u2212");h[1].textContent=-i;a.applyTransform(t,v,2)}else{a.appendToken(t,"mo","+");a.applyTransform(t,v,2)}}}}else{a.appendToken(t,"mo","+");a.applyTransform(t,v,2)}}else{a.applyTransform(t,v,2)}}if(o){a.appendToken(t,"mo",")")}s.appendChild(t)},transpose:function(h,k,g,j,i,m,f){var l=a.createElement("msup");a.applyTransform(l,j[0],f);a.appendToken(l,"mi","T");h.appendChild(l)},power:function(h,k,g,j,i,m,f){var l=a.createElement("msup");a.applyTransform(l,j[0],3);a.applyTransform(l,j[1],f);h.appendChild(l)},selector:function(p,h,k,s,g,n,f){var r=a.createElement("msub");var q=s?s[0]:a.createElement("mrow");a.applyTransform(r,q,0);var m=a.createElement("mrow");for(var o=1,j=s.length;o<j;o++){if(o!=1){a.appendToken(m,"mo",",")}a.applyTransform(m,s[o],0)}r.appendChild(m);p.appendChild(r)},log:function(k,h,i,o,g,j,f){var m=a.createElement("mrow");var l=a.createElement("mi");a.setTextContent(l,"log");if(j.length&&j[0].nodeName==="logbase"){var n=a.createElement("msub");n.appendChild(l);a.applyTransform(n,a.getChildren(j[0])[0],0);m.appendChild(n)}else{m.appendChild(l)}a.applyTransform(m,o[0],7);k.appendChild(m)},"int":function(p,y,B,m,g,t,n){var s=a.createElement("mrow");var x=a.createElement("mo");a.setTextContent(x,"\u222B");var q=a.createElement("msubsup");q.appendChild(x);var k=a.createElement("mrow");var o,A,w,v,u,z;for(A=0,u=t.length;A<u;A++){if(t[A].nodeName==="lowlimit"||t[A].nodeName==="condition"||t[A].nodeName==="domainofapplication"){o=a.getChildren(t[A]);for(w=0,z=o.length;w<z;w++){a.applyTransform(k,o[w],0)}}else{o=a.getChildren(t[A]);if(t[A].nodeName==="interval"&&o.length===2){a.applyTransform(k,o[0],0)}}}q.appendChild(k);var h=a.createElement("mrow");for(A=0,u=t.length;A<u;A++){if(t[A].nodeName==="uplimit"){o=a.getChildren(t[A]);for(w=0,z=o.length;w<z;w++){a.applyTransform(h,o[w],0)}break}else{if(t[A].nodeName==="interval"){o=a.getChildren(t[A]);a.applyTransform(h,o[o.length-1],0);break}}}q.appendChild(h);s.appendChild(q);for(A=0,v=m.length;A<v;A++){a.applyTransform(s,m[A],0)}for(A=0,v=g.length;A<v;A++){var r=g[A];o=a.getChildren(r);if(o.length){var f=a.createElement("mrow");a.appendToken(f,"mi","d");a.applyTransform(f,o[0],0);s.appendChild(f)}}p.appendChild(s)},inverse:function(k,h,i,l,g,j,f){var o=a.createElement("msup");var m=(l.length)?l[0]:a.createElement("mrow");a.applyTransform(o,m,f);var n=a.createElement("mfenced");a.appendToken(n,"mn","-1");o.appendChild(n);k.appendChild(o)},quotient:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.appendToken(i,"mo","\u230A");if(k.length){a.applyTransform(i,k[0],0);a.appendToken(i,"mo","/");if(k.length>1){a.applyTransform(i,k[1],0)}}a.appendToken(i,"mo","\u230B");h.appendChild(i)},factorial:function(h,l,g,k,j,m,f){var i=a.createElement("mrow");a.applyTransform(i,k[0],4);a.appendToken(i,"mo","!");h.appendChild(i)},root:function(p,j,m,q,h,n,f){var g;if(m.nodeName==="root"&&(n.length===0||(n[0].nodeName==="degree"&&a.getTextContent(n[0])==="2"))){g=a.createElement("msqrt");for(var o=0,k=q.length;o<k;o++){a.applyTransform(g,q[o],0)}}else{g=a.createElement("mroot");a.applyTransform(g,q[0],0);var r=(m.nodeName==="root")?n[0].childNodes[0]:q[1];a.applyTransform(g,r,0)}p.appendChild(g)},diff:function(p,y,B,g,f,t,m){if(f.length){var v;var q=a.createElement("mfrac");var x=a.createElement("mrow");var z=a.createElement("mrow");q.appendChild(x);q.appendChild(z);var r,k,o,s;var A=a.createElement("mi");a.setTextContent(A,"d");var n=a.getChildren(f[0]);for(var w=0,u=n.length;w<u;w++){if(n[w].nodeName==="degree"){var h=a.getChildren(n[w])[0];if(a.getTextContent(h)!="1"){k=h;o=a.createElement("msup");o.appendChild(A);A=o;a.applyTransform(A,k,0)}}else{r=n[w]}}x.appendChild(A);if(g.length){switch(g[0].nodeName){case"apply":case"bind":case"reln":s=a.createElement("mrow");s.appendChild(q);a.applyTransform(s,g[0],3);v=s;break;default:a.applyTransform(x,g[0],0);v=q}}a.appendToken(z,"mi","d");if(k){var i=a.createElement("msup");a.applyTransform(i,r,0);a.applyTransform(i,k,0);z.appendChild(i)}else{a.applyTransform(z,r,0)}p.appendChild(v)}else{o=a.createElement("msup");s=a.createElement("mrow");o.appendChild(s);a.applyTransform(s,g[0],0);a.appendToken(o,"mo","\u2032");p.appendChild(o)}},partialdiff:function(t,I,N,g,f,D,o){var q,B,A;var v=a.createElement("mfrac");var H=a.createElement("mrow");var M=a.createElement("mrow");v.appendChild(H);v.appendChild(M);var L,m,p;if(f.length===0&&g.length===2&&g[0].nodeName==="list"){if(g[1].nodeName==="lambda"){m=a.getChildren(g[0]).length;if(m!=1){q=a.createElement("msup");a.appendToken(q,"mo","\u2202");a.appendToken(q,"mn",m);H.appendChild(q)}else{a.appendToken(H,"mo","\u2202")}p=a.getChildren(g[1]);L=p[p.length-1];var h=[];var r=a.getChildren(g[1]);var z=a.getChildren(g[0]);for(var K=0,F=r.length;K<F;K++){if(r[K].nodeName==="bvar"){h.push(a.getChildren(r[K])[0])}}var y=null;m=0;function u(O,l){a.appendToken(M,"mo","\u2202");var j=h[O];if(l>1){var i=a.createElement("msup");a.applyTransform(i,j,0);a.appendToken(i,"mn",l);M.appendChild(i)}else{a.applyTransform(M,j,0)}}for(K=0,F=z.length;K<F;K++){var C=Number(a.getTextContent(z[K]))-1;if(y!==null&&C!=y){u(y,m);m=0}y=C;m+=1}if(y){u(y,m)}}else{A=a.createElement("mrow");B=a.createElement("msub");a.appendToken(B,"mi","D");var w=a.getChildren(g[0]);B.appendChild(a.createmfenced(w,"",""));A.appendChild(B);a.applyTransform(A,g[1],0);t.appendChild(A);return}}else{q=a.createElement("msup");H.appendChild(q);a.appendToken(q,"mo","\u2202");var s=a.createElement("mrow");q.appendChild(s);var J;if(D.length&&D[0].nodeName==="degree"&&a.getChildren(D[0]).length){J=a.getChildren(D[0])[0];a.applyTransform(s,J,0)}else{m=0;var x=false;for(K=0,F=f.length;K<F;K++){p=a.getChildren(f[K]);if(p.length===2){for(var G=0;G<2;G++){if(p[G].nodeName==="degree"){if(/^\s*\d+\s*$/.test(a.getTextContent(p[G]))){m+=Number(a.getTextContent(p[G]))}else{if(x){a.appendToken(s,"mo","+")}x=true;a.applyTransform(s,a.getChildren(p[G])[0],0)}}}}else{m++}}if(m>0){if(x){a.appendToken(s,"mo","+")}a.appendToken(s,"mn",m)}}if(g.length){L=g[0]}for(K=0,F=f.length;K<F;K++){a.appendToken(M,"mo","\u2202");p=a.getChildren(f[K]);if(p.length===2){for(G=0;G<2;G++){if(p[G].nodeName==="degree"){var k=a.createElement("msup");a.applyTransform(k,p[1-G],0);var E=a.getChildren(p[G])[0];a.applyTransform(k,E,0);M.appendChild(k)}}}else{if(p.length===1){a.applyTransform(M,p[0],0)}}}}if(L){switch(L.nodeName){case"apply":case"bind":case"reln":A=a.createElement("mrow");A.appendChild(v);a.applyTransform(A,L,3);outNode=A;break;default:a.applyTransform(H,L,0);outNode=v}}else{outNode=v}t.appendChild(outNode)}};a.applyTokens.size=a.applyTokens.card;return a})(MathJax.Hub);MathJax.Hub.Register.StartupHook("MathML Jax Ready",function(){var b=MathJax.InputJax.MathML;var a=MathJax.Extension["MathML/content-mathml"];a.mbase=MathJax.ElementJax.mml.mbase;a.MML=MathJax.ElementJax.mml;b.DOMfilterHooks.Add(function(c){c.math=a.transformElement(c.math)});MathJax.Hub.Startup.signal.Post("MathML/content-mathml Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/MathML/content-mathml.js");
diff --git a/extensions/MathML/mml3.js b/extensions/MathML/mml3.js
index 6569d92236..b89cba1dc2 100644
--- a/extensions/MathML/mml3.js
+++ b/extensions/MathML/mml3.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/MathML/mml3.js
+ *  /MathJax-v2/extensions/MathML/mml3.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["MathML/mml3"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("MathML Jax Ready",function(){var d=MathJax.InputJax.MathML,g=d.Parse.prototype;d.prefilterHooks.Add(function(j){if(!d.mml3XSLT){return}if(!d.ParseXML){d.ParseXML=d.createParser()}var k=d.ParseXML(g.preProcessMath(j.math));var i=d.mml3XSLT.transformToDocument(k);if((typeof i)==="string"){j.math=i}else{if(window.XMLSerializer){var h=new XMLSerializer();j.math=h.serializeToString(i.documentElement,k)}}});var f=MathJax.Hub.Browser;var c="";if(f.isEdge||f.isMSIE){c="urn:schemas-microsoft-com:xslt"}else{c="http://exslt.org/common"}var e='<xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform" 		xmlns:m="http://www.w3.org/1998/Math/MathML"		xmlns:c="'+c+'"		exclude-result-prefixes="m c"><xsl:output indent="yes" omit-xml-declaration="yes"/><xsl:output indent="yes" omit-xml-declaration="yes"/><xsl:template match="*"> <xsl:copy>  <xsl:copy-of select="@*"/>  <xsl:apply-templates/> </xsl:copy></xsl:template><xsl:template match="m:*[@dir=\'rtl\']"  priority="10"> <xsl:apply-templates mode="rtl" select="."/></xsl:template><xsl:template match="@*" mode="rtl"> <xsl:copy-of select="."/> <xsl:attribute name="dir">ltr</xsl:attribute></xsl:template><xsl:template match="*" mode="rtl"> <xsl:copy>  <xsl:apply-templates select="@*" mode="rtl"/>  <xsl:for-each select="node()">   <xsl:sort data-type="number" order="descending" select="position()"/>   <xsl:text> </xsl:text>   <xsl:apply-templates mode="rtl" select="."/>  </xsl:for-each> </xsl:copy></xsl:template><xsl:template match="@open" mode="rtl"> <xsl:attribute name="close"><xsl:value-of select="."/></xsl:attribute></xsl:template><xsl:template match="@open[.=\'(\']" mode="rtl"> <xsl:attribute name="close">)</xsl:attribute></xsl:template><xsl:template match="@open[.=\')\']" mode="rtl"> <xsl:attribute name="close">(</xsl:attribute></xsl:template><xsl:template match="@open[.=\'[\']" mode="rtl"> <xsl:attribute name="close">]</xsl:attribute></xsl:template><xsl:template match="@open[.=\']\']" mode="rtl"> <xsl:attribute name="close">[</xsl:attribute></xsl:template><xsl:template match="@open[.=\'{\']" mode="rtl"> <xsl:attribute name="close">}</xsl:attribute></xsl:template><xsl:template match="@open[.=\'}\']" mode="rtl"> <xsl:attribute name="close">{</xsl:attribute></xsl:template><xsl:template match="@close" mode="rtl"> <xsl:attribute name="open"><xsl:value-of select="."/></xsl:attribute></xsl:template><xsl:template match="@close[.=\'(\']" mode="rtl"> <xsl:attribute name="open">)</xsl:attribute></xsl:template><xsl:template match="@close[.=\')\']" mode="rtl"> <xsl:attribute name="open">(</xsl:attribute></xsl:template><xsl:template match="@close[.=\'[\']" mode="rtl"> <xsl:attribute name="open">]</xsl:attribute></xsl:template><xsl:template match="@close[.=\']\']" mode="rtl"> <xsl:attribute name="open">[</xsl:attribute></xsl:template><xsl:template match="@close[.=\'{\']" mode="rtl"> <xsl:attribute name="open">}</xsl:attribute></xsl:template><xsl:template match="@close[.=\'}\']" mode="rtl"> <xsl:attribute name="open">{</xsl:attribute></xsl:template><xsl:template match="m:mfrac[@bevelled=\'true\']" mode="rtl"> <m:mrow>  <m:msub><m:mi></m:mi><xsl:apply-templates select="*[2]" mode="rtl"/></m:msub>  <m:mo>&#x5c;</m:mo>  <m:msup><m:mi></m:mi><xsl:apply-templates select="*[1]" mode="rtl"/></m:msup> </m:mrow></xsl:template><xsl:template match="m:mfrac" mode="rtl"> <xsl:copy>  <xsl:apply-templates mode="rtl" select="@*|*"/> </xsl:copy></xsl:template><xsl:template match="m:mroot" mode="rtl"> <m:msup>  <m:menclose notation="top right">   <xsl:apply-templates mode="rtl" select="@*|*[1]"/>  </m:menclose>  <xsl:apply-templates mode="rtl" select="*[2]"/> </m:msup></xsl:template><xsl:template match="m:msqrt" mode="rtl"> <m:menclose notation="top right">  <xsl:apply-templates mode="rtl" select="@*|*[1]"/> </m:menclose></xsl:template><xsl:template match="m:mtable|m:munder|m:mover|m:munderover" mode="rtl" priority="2"> <xsl:copy>  <xsl:apply-templates select="@*" mode="rtl"/>  <xsl:apply-templates mode="rtl">  </xsl:apply-templates> </xsl:copy></xsl:template><xsl:template match="m:msup" mode="rtl" priority="2"> <m:mmultiscripts>  <xsl:apply-templates select="*[1]" mode="rtl"/>  <m:mprescripts/>  <m:none/>  <xsl:apply-templates select="*[2]" mode="rtl"/> </m:mmultiscripts></xsl:template><xsl:template match="m:msub" mode="rtl" priority="2"> <m:mmultiscripts>  <xsl:apply-templates select="*[1]" mode="rtl"/>  <m:mprescripts/>  <xsl:apply-templates select="*[2]" mode="rtl"/>  <m:none/> </m:mmultiscripts></xsl:template><xsl:template match="m:msubsup" mode="rtl" priority="2"> <m:mmultiscripts>  <xsl:apply-templates select="*[1]" mode="rtl"/>  <m:mprescripts/>  <xsl:apply-templates select="*[2]" mode="rtl"/>  <xsl:apply-templates select="*[3]" mode="rtl"/> </m:mmultiscripts></xsl:template><xsl:template match="m:mmultiscripts" mode="rtl" priority="2"> <m:mmultiscripts>  <xsl:apply-templates select="*[1]" mode="rtl"/>  <xsl:for-each  select="m:mprescripts/following-sibling::*[position() mod 2 = 1]">   <xsl:sort data-type="number" order="descending" select="position()"/>   <xsl:apply-templates select="."  mode="rtl"/>   <xsl:apply-templates select="following-sibling::*[1]"  mode="rtl"/>  </xsl:for-each>  <m:mprescripts/>  <xsl:for-each  select="m:mprescripts/preceding-sibling::*[position()!=last()][position() mod 2 = 0]">   <xsl:sort data-type="number" order="descending" select="position()"/>   <xsl:apply-templates select="."  mode="rtl"/>   <xsl:apply-templates select="following-sibling::*[1]"  mode="rtl"/>  </xsl:for-each> </m:mmultiscripts></xsl:template><xsl:template match="m:mmultiscripts[not(m:mprescripts)]" mode="rtl" priority="3"> <m:mmultiscripts>  <xsl:apply-templates select="*[1]" mode="rtl"/>  <m:mprescripts/>  <xsl:for-each  select="*[position() mod 2 = 0]">   <xsl:sort data-type="number" order="descending" select="position()"/>   <xsl:apply-templates select="."  mode="rtl"/>   <xsl:apply-templates select="following-sibling::*[1]"  mode="rtl"/>  </xsl:for-each> </m:mmultiscripts></xsl:template><xsl:template match="text()[.=\'(\']" mode="rtl">)</xsl:template><xsl:template match="text()[.=\')\']" mode="rtl">(</xsl:template><xsl:template match="text()[.=\'{\']" mode="rtl">}</xsl:template><xsl:template match="text()[.=\'}\']" mode="rtl">{</xsl:template><xsl:template match="text()[.=\'&lt;\']" mode="rtl">&gt;</xsl:template><xsl:template match="text()[.=\'&gt;\']" mode="rtl">&lt;</xsl:template><xsl:template match="text()[.=\'&#x2208;\']" mode="rtl">&#x220b;</xsl:template><xsl:template match="text()[.=\'&#x220b;\']" mode="rtl">&#x2208;</xsl:template><xsl:template match="@notation[.=\'radical\']" mode="rtl"> <xsl:attribute name="notation">top right</xsl:attribute></xsl:template><xsl:template match="m:mlongdiv|m:mstack" mode="rtl"> <m:mrow dir="ltr"> <xsl:apply-templates select="."/> </m:mrow></xsl:template><xsl:template match="m:mstack" priority="11"> <xsl:variable name="m">  <m:mtable columnspacing="0em">   <xsl:copy-of select="@align"/>  <xsl:variable name="t">   <xsl:apply-templates select="*" mode="mstack1">    <xsl:with-param name="p" select="0"/>   </xsl:apply-templates>  </xsl:variable>  <xsl:variable name="maxl">   <xsl:for-each select="c:node-set($t)/*/@l">    <xsl:sort data-type="number" order="descending"/>    <xsl:if test="position()=1">     <xsl:value-of select="."/>    </xsl:if>   </xsl:for-each>  </xsl:variable>  <xsl:for-each select="c:node-set($t)/*[not(@class=\'mscarries\') or following-sibling::*[1]/@class=\'mscarries\']"><xsl:variable name="c" select="preceding-sibling::*[1][@class=\'mscarries\']"/>   <xsl:text>&#10;</xsl:text>   <m:mtr>    <xsl:copy-of select="@class[.=\'msline\']"/>    <xsl:variable name="offset" select="$maxl - @l"/>    <xsl:choose>     <xsl:when test="@class=\'msline\' and @l=\'*\'">      <xsl:variable name="msl" select="*[1]"/>      <xsl:for-each select="(//node())[position()&lt;=$maxl]">       <xsl:copy-of select="$msl"/>      </xsl:for-each>     </xsl:when>     <xsl:when test="$c">      <xsl:variable name="ldiff" select="$c/@l - @l"/>      <xsl:variable name="loffset" select="$maxl - $c/@l"/>      <xsl:for-each select="(//*)[position()&lt;= $offset]">       <xsl:variable name="pn" select="position()"/>       <xsl:variable name="cy" select="$c/*[position()=$pn - $loffset]"/>	 <m:mtd>	  <xsl:if test="$cy/*">	  <m:mover><m:mphantom><m:mn>0</m:mn></m:mphantom><m:mpadded width="0em" lspace="-0.5width">	  <xsl:copy-of select="$cy/*"/></m:mpadded></m:mover>	  </xsl:if>	 </m:mtd>      </xsl:for-each>      <xsl:for-each select="*">       <xsl:variable name="pn" select="position()"/>       <xsl:variable name="cy" select="$c/*[position()=$pn + $ldiff]"/>       <xsl:copy>	<xsl:copy-of select="@*"/>	<xsl:variable name="b">	 <xsl:choose>	  <xsl:when test="not(string($cy/@crossout) or $cy/@crossout=\'none\')"><xsl:copy-of select="*"/></xsl:when>	  <xsl:otherwise>	   <m:menclose notation="{$cy/@crossout}"><xsl:copy-of select="*"/></m:menclose>	  </xsl:otherwise>	 </xsl:choose>	</xsl:variable>	<xsl:choose>	 <xsl:when test="$cy/m:none or not($cy/*)"><xsl:copy-of select="$b"/></xsl:when>	 <xsl:when test="not(string($cy/@location)) or $cy/@location=\'n\'">	  <m:mover>	   <xsl:copy-of select="$b"/><m:mpadded width="0em" lspace="-0.5width">	   <xsl:copy-of select="$cy/*"/>	  </m:mpadded>	  </m:mover>	 </xsl:when>	 <xsl:when test="$cy/@location=\'nw\'">	  <m:mmultiscripts><xsl:copy-of select="$b"/><m:mprescripts/><m:none/><m:mpadded lspace="-1width" width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:mmultiscripts>	 </xsl:when>	 <xsl:when test="$cy/@location=\'s\'">	  <m:munder><xsl:copy-of select="$b"/><m:mpadded width="0em" lspace="-0.5width"><xsl:copy-of select="$cy/*"/></m:mpadded></m:munder>	 </xsl:when>	 <xsl:when test="$cy/@location=\'sw\'">	  <m:mmultiscripts><xsl:copy-of select="$b"/><m:mprescripts/><m:mpadded lspace="-1width" width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded><m:none/></m:mmultiscripts>	 </xsl:when>	 <xsl:when test="$cy/@location=\'ne\'">	  <m:msup><xsl:copy-of select="$b"/><m:mpadded width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msup>	 </xsl:when>	 <xsl:when test="$cy/@location=\'se\'">	  <m:msub><xsl:copy-of select="$b"/><m:mpadded width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msub>	 </xsl:when>	 <xsl:when test="$cy/@location=\'w\'">	  <m:msup><m:mrow/><m:mpadded lspace="-1width" width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msup>	  <xsl:copy-of select="$b"/>	 </xsl:when>	 <xsl:when test="$cy/@location=\'e\'">	  <xsl:copy-of select="$b"/>	  <m:msup><m:mrow/><m:mpadded width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msup>	 </xsl:when>	 <xsl:otherwise>	  <xsl:copy-of select="$b"/>	 </xsl:otherwise>	</xsl:choose>       </xsl:copy>      </xsl:for-each>     </xsl:when>     <xsl:otherwise>      <xsl:for-each select="(//*)[position()&lt;= $offset]"><m:mtd/></xsl:for-each>      <xsl:copy-of select="*"/>     </xsl:otherwise>    </xsl:choose>   </m:mtr>  </xsl:for-each> </m:mtable></xsl:variable><xsl:apply-templates mode="ml" select="c:node-set($m)"/></xsl:template><xsl:template match="*" mode="ml"> <xsl:copy>  <xsl:copy-of select="@*"/>  <xsl:apply-templates mode="ml"/> </xsl:copy></xsl:template><xsl:template mode="ml" match="m:mtr[following-sibling::*[1][@class=\'msline\']]"> <m:mtr>  <xsl:copy-of select="@*"/>  <xsl:variable name="m" select="following-sibling::*[1]/m:mtd"/>  <xsl:for-each select="m:mtd">   <xsl:variable name="p" select="position()"/>   <m:mtd>    <xsl:copy-of select="@*"/>    <xsl:choose>     <xsl:when test="$m[$p]/m:mpadded">      <m:menclose notation="bottom">       <m:mpadded depth=".1em" height="1em" width=".4em">	<xsl:copy-of select="*"/>       </m:mpadded>      </m:menclose>     </xsl:when>     <xsl:otherwise>      <xsl:copy-of select="*"/>     </xsl:otherwise>    </xsl:choose>   </m:mtd>  </xsl:for-each> </m:mtr></xsl:template><xsl:template mode="ml" match="m:mtr[not(preceding-sibling::*)][@class=\'msline\']" priority="3"> <m:mtr>  <xsl:copy-of select="@*"/>  <xsl:for-each select="m:mtd">   <m:mtd>    <xsl:copy-of select="@*"/>    <xsl:if test="m:mpadded">     <m:menclose notation="bottom">      <m:mpadded depth=".1em" height="1em" width=".4em">       <m:mspace width=".2em"/>      </m:mpadded>     </m:menclose>    </xsl:if>   </m:mtd>  </xsl:for-each> </m:mtr></xsl:template><xsl:template mode="ml" match="m:mtr[@class=\'msline\']" priority="2"/><xsl:template mode="mstack1" match="*"> <xsl:param name="p"/> <xsl:param name="maxl" select="0"/> <m:mtr l="{1 + $p}">  <xsl:if test="ancestor::mstack[1]/@stackalign=\'left\'">   <xsl:attribute name="l"><xsl:value-of  select="$p"/></xsl:attribute>  </xsl:if>  <m:mtd><xsl:apply-templates select="."/></m:mtd> </m:mtr></xsl:template><xsl:template mode="mstack1" match="m:msrow"> <xsl:param name="p"/> <xsl:param name="maxl" select="0"/> <xsl:variable  name="align1" select="ancestor::m:mstack[1]/@stackalign"/> <xsl:variable name="align">  <xsl:choose>   <xsl:when test="string($align1)=\'\'">decimalpoint</xsl:when>   <xsl:otherwise><xsl:value-of select="$align1"/></xsl:otherwise>  </xsl:choose> </xsl:variable> <xsl:variable name="row">  <xsl:apply-templates mode="mstack1" select="*">   <xsl:with-param name="p" select="0"/>  </xsl:apply-templates> </xsl:variable> <xsl:text>&#10;</xsl:text> <xsl:variable name="l1">  <xsl:choose>   <xsl:when test="$align=\'decimalpoint\' and m:mn">    <xsl:for-each select="c:node-set($row)/m:mtr[m:mtd/m:mn][1]">     <xsl:value-of select="number(sum(@l))+count(preceding-sibling::*/@l)"/>    </xsl:for-each>   </xsl:when>   <xsl:when test="$align=\'right\' or $align=\'decimalpoint\'">    <xsl:value-of select="count(c:node-set($row)/m:mtr/m:mtd)"/>   </xsl:when>   <xsl:otherwise>    <xsl:value-of select="0"/>   </xsl:otherwise>  </xsl:choose> </xsl:variable> <m:mtr class="msrow" l="{number($l1) + number(sum(@position)) +$p}">  <xsl:copy-of select="c:node-set($row)/m:mtr/*"/> </m:mtr></xsl:template><xsl:template mode="mstack1" match="m:mn"> <xsl:param name="p"/> <xsl:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/> <xsl:variable name="dp1" select="ancestor::*[@decimalpoint][1]/@decimalpoint"/> <xsl:variable name="align">  <xsl:choose>   <xsl:when test="string($align1)=\'\'">decimalpoint</xsl:when>   <xsl:otherwise><xsl:value-of select="$align1"/></xsl:otherwise>  </xsl:choose> </xsl:variable> <xsl:variable name="dp">  <xsl:choose>   <xsl:when test="string($dp1)=\'\'">.</xsl:when>   <xsl:otherwise><xsl:value-of select="$dp1"/></xsl:otherwise>  </xsl:choose> </xsl:variable> <m:mtr l="$p">  <xsl:variable name="mn" select="normalize-space(.)"/>  <xsl:variable name="len" select="string-length($mn)"/>  <xsl:choose>   <xsl:when test="$align=\'right\' or ($align=\'decimalpoint\' and not(contains($mn,$dp)))">    <xsl:attribute name="l"><xsl:value-of select="$p + $len"/></xsl:attribute>   </xsl:when>   <xsl:when test="$align=\'center\'">    <xsl:attribute name="l"><xsl:value-of select="round(($p + $len) div 2)"/></xsl:attribute>   </xsl:when>   <xsl:when test="$align=\'decimalpoint\'">    <xsl:attribute name="l"><xsl:value-of select="$p + string-length(substring-before($mn,$dp))"/></xsl:attribute>   </xsl:when>  </xsl:choose>  <xsl:for-each select="(//node())[position() &lt;=$len]">   <xsl:variable name="pos" select="position()"/>   <m:mtd><m:mn><xsl:value-of select="substring($mn,$pos,1)"/></m:mn></m:mtd>  </xsl:for-each> </m:mtr></xsl:template><xsl:template match="m:msgroup" mode="mstack1"> <xsl:param name="p"/> <xsl:variable name="s" select="number(sum(@shift))"/> <xsl:variable name="thisp" select="number(sum(@position))"/> <xsl:for-each select="*">  <xsl:apply-templates mode="mstack1" select=".">   <xsl:with-param name="p" select="number($p)+$thisp+(position()-1)*$s"/>  </xsl:apply-templates> </xsl:for-each></xsl:template><xsl:template match="m:msline" mode="mstack1"> <xsl:param name="p"/> <xsl:variable  name="align1" select="ancestor::m:mstack[1]/@stackalign"/> <xsl:variable name="align">  <xsl:choose>   <xsl:when test="string($align1)=\'\'">decimalpoint</xsl:when>   <xsl:otherwise><xsl:value-of select="$align1"/></xsl:otherwise>  </xsl:choose> </xsl:variable> <m:mtr class="msline">  <xsl:attribute name="l">   <xsl:choose>    <xsl:when test="not(string(@length)) or @length=0">*</xsl:when>    <xsl:when test="string($align)=\'right\' or string($align)=\'decimalpoint\' "><xsl:value-of select="$p+ @length"/></xsl:when>    <xsl:otherwise><xsl:value-of select="$p"/></xsl:otherwise>   </xsl:choose>  </xsl:attribute>  <xsl:variable name="w">   <xsl:choose>    <xsl:when test="@mslinethickness=\'thin\'">0.1em</xsl:when>    <xsl:when test="@mslinethickness=\'medium\'">0.15em</xsl:when>    <xsl:when test="@mslinethickness=\'thick\'">0.2em</xsl:when>    <xsl:when test="@mslinethickness"><xsl:value-of select="@mslinethickness"/></xsl:when>    <xsl:otherwise>0.15em</xsl:otherwise>   </xsl:choose>  </xsl:variable>  <xsl:choose>   <xsl:when test="not(string(@length)) or @length=0">    <m:mtd class="mslinemax">     <m:mpadded lspace="-0.2em" width="0em" height="0em">      <m:mfrac linethickness="{$w}">       <m:mspace width=".4em"/>       <m:mrow/>      </m:mfrac>     </m:mpadded>    </m:mtd>   </xsl:when>   <xsl:otherwise>    <xsl:variable name="l" select="@length"/>    <xsl:for-each select="(//node())[position()&lt;=$l]">     <m:mtd class="msline">      <m:mpadded lspace="-0.2em" width="0em" height="0em">       <m:mfrac linethickness="{$w}">	<m:mspace width=".4em"/>	<m:mrow/>       </m:mfrac>      </m:mpadded>     </m:mtd>    </xsl:for-each>   </xsl:otherwise>  </xsl:choose> </m:mtr></xsl:template><xsl:template match="m:mscarries" mode="mstack1"> <xsl:param name="p"/> <xsl:variable  name="align1" select="ancestor::m:mstack[1]/@stackalign"/> <xsl:variable name="l1">  <xsl:choose>   <xsl:when test="string($align1)=\'left\'">0</xsl:when>   <xsl:otherwise><xsl:value-of select="count(*)"/></xsl:otherwise>  </xsl:choose> </xsl:variable> <m:mtr class="mscarries" l="{$p + $l1 + sum(@position)}">  <xsl:apply-templates select="*" mode="msc"/> </m:mtr></xsl:template><xsl:template match="*" mode="msc"> <m:mtd>  <xsl:copy-of select="../@location|../@crossout"/>  <xsl:choose>   <xsl:when test="../@scriptsizemultiplier">    <m:mstyle mathsize="{round(../@scriptsizemultiplier div .007)}%">     <xsl:apply-templates select="."/>    </m:mstyle>   </xsl:when>   <xsl:otherwise>    <xsl:apply-templates select="."/>   </xsl:otherwise>  </xsl:choose> </m:mtd></xsl:template><xsl:template match="m:mscarry" mode="msc"> <m:mtd> <xsl:copy-of select="@location|@crossout"/>  <xsl:choose>   <xsl:when test="../@scriptsizemultiplier">    <m:mstyle mathsize="{round(../@scriptsizemultiplier div .007)}%">     <xsl:apply-templates/>    </m:mstyle>   </xsl:when>   <xsl:otherwise>    <xsl:apply-templates/>   </xsl:otherwise>  </xsl:choose> </m:mtd></xsl:template><xsl:template match="m:mlongdiv" priority="11"> <xsl:variable name="ms">  <m:mstack>   <xsl:copy-of select="(ancestor-or-self::*/@decimalpoint)[last()]"/>   <xsl:choose>    <xsl:when test="@longdivstyle=\'left)(right\'">     <m:msrow>      <m:mrow><xsl:copy-of select="*[1]"/></m:mrow>      <m:mo>)</m:mo>      <xsl:copy-of select="*[3]"/>      <m:mo>(</m:mo>      <xsl:copy-of select="*[2]"/>     </m:msrow>    </xsl:when>    <xsl:when test="@longdivstyle=\'left/\right\'">     <m:msrow>      <m:mrow><xsl:copy-of select="*[1]"/></m:mrow>      <m:mo>/</m:mo>      <xsl:copy-of select="*[3]"/>      <m:mo></m:mo>      <xsl:copy-of select="*[2]"/>     </m:msrow>    </xsl:when>    <xsl:when test="@longdivstyle=\':right=right\'">     <m:msrow>      <xsl:copy-of select="*[3]"/>      <m:mo>:</m:mo>      <xsl:copy-of select="*[1]"/>      <m:mo>=</m:mo>      <xsl:copy-of select="*[2]"/>     </m:msrow>    </xsl:when>    <xsl:when test="@longdivstyle=\'stackedrightright\'		    or @longdivstyle=\'mediumstackedrightright\'		    or @longdivstyle=\'shortstackedrightright\'		    or @longdivstyle=\'stackedleftleft\'		    ">     <xsl:attribute name="align">top</xsl:attribute>     <xsl:copy-of select="*[3]"/>    </xsl:when>    <xsl:when test="@longdivstyle=\'stackedleftlinetop\'">     <xsl:copy-of select="*[2]"/>     <m:msline length="{string-length(*[3])-1}"/>     <m:msrow>      <m:mrow>     <m:menclose notation="bottom right">      <xsl:copy-of select="*[1]"/>     </m:menclose>      </m:mrow>      <xsl:copy-of select="*[3]"/>     </m:msrow>    </xsl:when>    <xsl:when test="@longdivstyle=\'righttop\'">     <xsl:copy-of select="*[2]"/>     <m:msline length="{string-length(*[3])}"/>     <m:msrow>      <xsl:copy-of select="*[3]"/>      <m:menclose notation="top left bottom">       <xsl:copy-of select="*[1]"/></m:menclose>     </m:msrow>    </xsl:when>    <xsl:otherwise>     <xsl:copy-of select="*[2]"/>     <m:msline length="{string-length(*[3])}"/>     <m:msrow>      <m:mrow><xsl:copy-of select="*[1]"/></m:mrow>      <m:mo>)</m:mo>      <xsl:copy-of select="*[3]"/>     </m:msrow>    </xsl:otherwise>   </xsl:choose>   <xsl:copy-of select="*[position()&gt;3]"/>  </m:mstack> </xsl:variable> <xsl:choose>  <xsl:when test="@longdivstyle=\'stackedrightright\'">   <m:menclose notation="right">    <xsl:apply-templates select="c:node-set($ms)"/>   </m:menclose>   <m:mtable align="top">    <m:mtr>     <m:menclose notation="bottom">      <xsl:copy-of select="*[1]"/>     </m:menclose>    </m:mtr>    <m:mtr>     <mtd><xsl:copy-of select="*[2]"/></mtd>    </m:mtr>   </m:mtable>  </xsl:when>    <xsl:when test="@longdivstyle=\'mediumstackedrightright\'">    <xsl:apply-templates select="c:node-set($ms)"/>   <m:menclose notation="left">   <m:mtable align="top">    <m:mtr>     <m:menclose notation="bottom">      <xsl:copy-of select="*[1]"/>     </m:menclose>    </m:mtr>    <m:mtr>     <mtd><xsl:copy-of select="*[2]"/></mtd>    </m:mtr>   </m:mtable>   </m:menclose>  </xsl:when>  <xsl:when test="@longdivstyle=\'shortstackedrightright\'">    <xsl:apply-templates select="c:node-set($ms)"/>   <m:mtable align="top">    <m:mtr>     <m:menclose notation="left bottom">      <xsl:copy-of select="*[1]"/>     </m:menclose>    </m:mtr>    <m:mtr>     <mtd><xsl:copy-of select="*[2]"/></mtd>    </m:mtr>   </m:mtable>  </xsl:when>  <xsl:when test="@longdivstyle=\'stackedleftleft\'">   <m:mtable align="top">    <m:mtr>     <m:menclose notation="bottom">      <xsl:copy-of select="*[1]"/>     </m:menclose>    </m:mtr>    <m:mtr>     <mtd><xsl:copy-of select="*[2]"/></mtd>    </m:mtr>   </m:mtable>   <m:menclose notation="left">    <xsl:apply-templates select="c:node-set($ms)"/>   </m:menclose>  </xsl:when>  <xsl:otherwise>   <xsl:apply-templates select="c:node-set($ms)"/>  </xsl:otherwise> </xsl:choose></xsl:template><xsl:template match="m:menclose[@notation=\'madruwb\']" mode="rtl"> <m:menclose notation="bottom right">  <xsl:apply-templates mode="rtl"/> </m:menclose></xsl:template></xsl:stylesheet>';var b;if(window.XSLTProcessor){if(!d.ParseXML){d.ParseXML=d.createParser()}d.mml3XSLT=new XSLTProcessor();d.mml3XSLT.importStylesheet(d.ParseXML(e))}else{if(MathJax.Hub.Browser.isMSIE){if(MathJax.Hub.Browser.versionAtLeast("9.0")||(document.documentMode||0)>=9){b=new ActiveXObject("Msxml2.FreeThreadedDOMDocument");b.loadXML(e);var a=new ActiveXObject("Msxml2.XSLTemplate");a.stylesheet=b;d.mml3XSLT={mml3:a.createProcessor(),transformToDocument:function(h){this.mml3.input=h;this.mml3.transform();return this.mml3.output}}}else{b=d.createMSParser();b.async=false;b.loadXML(e);d.mml3XSLT={mml3:b,transformToDocument:function(h){return h.documentElement.transformNode(this.mml3)}}}}else{d.mml3XSLT=null}}MathJax.Ajax.Styles({".MathJax .mi, .MathJax .mo, .MathJax .mn, .MathJax .mtext":{direction:"ltr",display:"inline-block"},".MathJax .ms, .MathJax .mspace, .MathJax .mglyph":{direction:"ltr",display:"inline-block"}});MathJax.Hub.Startup.signal.Post("MathML mml3.js Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/MathML/mml3.js");
+MathJax.Extension["MathML/mml3"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("MathML Jax Ready",function(){var d=MathJax.InputJax.MathML,g=d.Parse.prototype;d.prefilterHooks.Add(function(j){if(!d.mml3XSLT){return}if(!d.ParseXML){d.ParseXML=d.createParser()}var k=d.ParseXML(g.preProcessMath(j.math));var i=d.mml3XSLT.transformToDocument(k);if((typeof i)==="string"){j.math=i}else{if(window.XMLSerializer){var h=new XMLSerializer();j.math=h.serializeToString(i.documentElement,k)}}});var f=MathJax.Hub.Browser;var c="";if(f.isEdge||f.isMSIE){c="urn:schemas-microsoft-com:xslt"}else{c="http://exslt.org/common"}var e='<xsl:stylesheet version="1.0" xmlns:xsl="http://www.w3.org/1999/XSL/Transform" 		xmlns:m="http://www.w3.org/1998/Math/MathML"		xmlns:c="'+c+'"		exclude-result-prefixes="m c"><xsl:output indent="yes" omit-xml-declaration="yes"/><xsl:output indent="yes" omit-xml-declaration="yes"/><xsl:template match="*"> <xsl:copy>  <xsl:copy-of select="@*"/>  <xsl:apply-templates/> </xsl:copy></xsl:template><xsl:template match="m:*[@dir=\'rtl\']"  priority="10"> <xsl:apply-templates mode="rtl" select="."/></xsl:template><xsl:template match="@*" mode="rtl"> <xsl:copy-of select="."/> <xsl:attribute name="dir">ltr</xsl:attribute></xsl:template><xsl:template match="*" mode="rtl"> <xsl:copy>  <xsl:apply-templates select="@*" mode="rtl"/>  <xsl:for-each select="node()">   <xsl:sort data-type="number" order="descending" select="position()"/>   <xsl:text> </xsl:text>   <xsl:apply-templates mode="rtl" select="."/>  </xsl:for-each> </xsl:copy></xsl:template><xsl:template match="@open" mode="rtl"> <xsl:attribute name="close"><xsl:value-of select="."/></xsl:attribute></xsl:template><xsl:template match="@open[.=\'(\']" mode="rtl"> <xsl:attribute name="close">)</xsl:attribute></xsl:template><xsl:template match="@open[.=\')\']" mode="rtl"> <xsl:attribute name="close">(</xsl:attribute></xsl:template><xsl:template match="@open[.=\'[\']" mode="rtl"> <xsl:attribute name="close">]</xsl:attribute></xsl:template><xsl:template match="@open[.=\']\']" mode="rtl"> <xsl:attribute name="close">[</xsl:attribute></xsl:template><xsl:template match="@open[.=\'{\']" mode="rtl"> <xsl:attribute name="close">}</xsl:attribute></xsl:template><xsl:template match="@open[.=\'}\']" mode="rtl"> <xsl:attribute name="close">{</xsl:attribute></xsl:template><xsl:template match="@close" mode="rtl"> <xsl:attribute name="open"><xsl:value-of select="."/></xsl:attribute></xsl:template><xsl:template match="@close[.=\'(\']" mode="rtl"> <xsl:attribute name="open">)</xsl:attribute></xsl:template><xsl:template match="@close[.=\')\']" mode="rtl"> <xsl:attribute name="open">(</xsl:attribute></xsl:template><xsl:template match="@close[.=\'[\']" mode="rtl"> <xsl:attribute name="open">]</xsl:attribute></xsl:template><xsl:template match="@close[.=\']\']" mode="rtl"> <xsl:attribute name="open">[</xsl:attribute></xsl:template><xsl:template match="@close[.=\'{\']" mode="rtl"> <xsl:attribute name="open">}</xsl:attribute></xsl:template><xsl:template match="@close[.=\'}\']" mode="rtl"> <xsl:attribute name="open">{</xsl:attribute></xsl:template><xsl:template match="m:mfrac[@bevelled=\'true\']" mode="rtl"> <m:mrow>  <m:msub><m:mi></m:mi><xsl:apply-templates select="*[2]" mode="rtl"/></m:msub>  <m:mo>&#x5c;</m:mo>  <m:msup><m:mi></m:mi><xsl:apply-templates select="*[1]" mode="rtl"/></m:msup> </m:mrow></xsl:template><xsl:template match="m:mfrac" mode="rtl"> <xsl:copy>  <xsl:apply-templates mode="rtl" select="@*|*"/> </xsl:copy></xsl:template><xsl:template match="m:mroot" mode="rtl"> <m:msup>  <m:menclose notation="top right">   <xsl:apply-templates mode="rtl" select="@*|*[1]"/>  </m:menclose>  <xsl:apply-templates mode="rtl" select="*[2]"/> </m:msup></xsl:template><xsl:template match="m:msqrt" mode="rtl"> <m:menclose notation="top right">  <xsl:apply-templates mode="rtl" select="@*|*[1]"/> </m:menclose></xsl:template><xsl:template match="m:mtable|m:munder|m:mover|m:munderover" mode="rtl" priority="2"> <xsl:copy>  <xsl:apply-templates select="@*" mode="rtl"/>  <xsl:apply-templates mode="rtl">  </xsl:apply-templates> </xsl:copy></xsl:template><xsl:template match="m:msup" mode="rtl" priority="2"> <m:mmultiscripts>  <xsl:apply-templates select="*[1]" mode="rtl"/>  <m:mprescripts/>  <m:none/>  <xsl:apply-templates select="*[2]" mode="rtl"/> </m:mmultiscripts></xsl:template><xsl:template match="m:msub" mode="rtl" priority="2"> <m:mmultiscripts>  <xsl:apply-templates select="*[1]" mode="rtl"/>  <m:mprescripts/>  <xsl:apply-templates select="*[2]" mode="rtl"/>  <m:none/> </m:mmultiscripts></xsl:template><xsl:template match="m:msubsup" mode="rtl" priority="2"> <m:mmultiscripts>  <xsl:apply-templates select="*[1]" mode="rtl"/>  <m:mprescripts/>  <xsl:apply-templates select="*[2]" mode="rtl"/>  <xsl:apply-templates select="*[3]" mode="rtl"/> </m:mmultiscripts></xsl:template><xsl:template match="m:mmultiscripts" mode="rtl" priority="2"> <m:mmultiscripts>  <xsl:apply-templates select="*[1]" mode="rtl"/>  <xsl:for-each  select="m:mprescripts/following-sibling::*[position() mod 2 = 1]">   <xsl:sort data-type="number" order="descending" select="position()"/>   <xsl:apply-templates select="."  mode="rtl"/>   <xsl:apply-templates select="following-sibling::*[1]"  mode="rtl"/>  </xsl:for-each>  <m:mprescripts/>  <xsl:for-each  select="m:mprescripts/preceding-sibling::*[position()!=last()][position() mod 2 = 0]">   <xsl:sort data-type="number" order="descending" select="position()"/>   <xsl:apply-templates select="."  mode="rtl"/>   <xsl:apply-templates select="following-sibling::*[1]"  mode="rtl"/>  </xsl:for-each> </m:mmultiscripts></xsl:template><xsl:template match="m:mmultiscripts[not(m:mprescripts)]" mode="rtl" priority="3"> <m:mmultiscripts>  <xsl:apply-templates select="*[1]" mode="rtl"/>  <m:mprescripts/>  <xsl:for-each  select="*[position() mod 2 = 0]">   <xsl:sort data-type="number" order="descending" select="position()"/>   <xsl:apply-templates select="."  mode="rtl"/>   <xsl:apply-templates select="following-sibling::*[1]"  mode="rtl"/>  </xsl:for-each> </m:mmultiscripts></xsl:template><xsl:template match="text()[.=\'(\']" mode="rtl">)</xsl:template><xsl:template match="text()[.=\')\']" mode="rtl">(</xsl:template><xsl:template match="text()[.=\'{\']" mode="rtl">}</xsl:template><xsl:template match="text()[.=\'}\']" mode="rtl">{</xsl:template><xsl:template match="text()[.=\'&lt;\']" mode="rtl">&gt;</xsl:template><xsl:template match="text()[.=\'&gt;\']" mode="rtl">&lt;</xsl:template><xsl:template match="text()[.=\'&#x2208;\']" mode="rtl">&#x220b;</xsl:template><xsl:template match="text()[.=\'&#x220b;\']" mode="rtl">&#x2208;</xsl:template><xsl:template match="@notation[.=\'radical\']" mode="rtl"> <xsl:attribute name="notation">top right</xsl:attribute></xsl:template><xsl:template match="m:mlongdiv|m:mstack" mode="rtl"> <m:mrow dir="ltr"> <xsl:apply-templates select="."/> </m:mrow></xsl:template><xsl:template match="m:mstack" priority="11"> <xsl:variable name="m">  <m:mtable columnspacing="0em">   <xsl:copy-of select="@align"/>  <xsl:variable name="t">   <xsl:apply-templates select="*" mode="mstack1">    <xsl:with-param name="p" select="0"/>   </xsl:apply-templates>  </xsl:variable>  <xsl:variable name="maxl">   <xsl:for-each select="c:node-set($t)/*/@l">    <xsl:sort data-type="number" order="descending"/>    <xsl:if test="position()=1">     <xsl:value-of select="."/>    </xsl:if>   </xsl:for-each>  </xsl:variable>  <xsl:for-each select="c:node-set($t)/*[not(@class=\'mscarries\') or following-sibling::*[1]/@class=\'mscarries\']"><xsl:variable name="c" select="preceding-sibling::*[1][@class=\'mscarries\']"/>   <xsl:text>&#10;</xsl:text>   <m:mtr>    <xsl:copy-of select="@class[.=\'msline\']"/>    <xsl:variable name="offset" select="$maxl - @l"/>    <xsl:choose>     <xsl:when test="@class=\'msline\' and @l=\'*\'">      <xsl:variable name="msl" select="*[1]"/>      <xsl:for-each select="(//node())[position()&lt;=$maxl]">       <xsl:copy-of select="$msl"/>      </xsl:for-each>     </xsl:when>     <xsl:when test="$c">      <xsl:variable name="ldiff" select="$c/@l - @l"/>      <xsl:variable name="loffset" select="$maxl - $c/@l"/>      <xsl:for-each select="(//*)[position()&lt;= $offset]">       <xsl:variable name="pn" select="position()"/>       <xsl:variable name="cy" select="$c/*[position()=$pn - $loffset]"/>	 <m:mtd>	  <xsl:if test="$cy/*">	  <m:mover><m:mphantom><m:mn>0</m:mn></m:mphantom><m:mpadded width="0em" lspace="-0.5width">	  <xsl:copy-of select="$cy/*"/></m:mpadded></m:mover>	  </xsl:if>	 </m:mtd>      </xsl:for-each>      <xsl:for-each select="*">       <xsl:variable name="pn" select="position()"/>       <xsl:variable name="cy" select="$c/*[position()=$pn + $ldiff]"/>       <xsl:copy>	<xsl:copy-of select="@*"/>	<xsl:variable name="b">	 <xsl:choose>	  <xsl:when test="not(string($cy/@crossout) or $cy/@crossout=\'none\')"><xsl:copy-of select="*"/></xsl:when>	  <xsl:otherwise>	   <m:menclose notation="{$cy/@crossout}"><xsl:copy-of select="*"/></m:menclose>	  </xsl:otherwise>	 </xsl:choose>	</xsl:variable>	<xsl:choose>	 <xsl:when test="$cy/m:none or not($cy/*)"><xsl:copy-of select="$b"/></xsl:when>	 <xsl:when test="not(string($cy/@location)) or $cy/@location=\'n\'">	  <m:mover>	   <xsl:copy-of select="$b"/><m:mpadded width="0em" lspace="-0.5width">	   <xsl:copy-of select="$cy/*"/>	  </m:mpadded>	  </m:mover>	 </xsl:when>	 <xsl:when test="$cy/@location=\'nw\'">	  <m:mmultiscripts><xsl:copy-of select="$b"/><m:mprescripts/><m:none/><m:mpadded lspace="-1width" width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:mmultiscripts>	 </xsl:when>	 <xsl:when test="$cy/@location=\'s\'">	  <m:munder><xsl:copy-of select="$b"/><m:mpadded width="0em" lspace="-0.5width"><xsl:copy-of select="$cy/*"/></m:mpadded></m:munder>	 </xsl:when>	 <xsl:when test="$cy/@location=\'sw\'">	  <m:mmultiscripts><xsl:copy-of select="$b"/><m:mprescripts/><m:mpadded lspace="-1width" width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded><m:none/></m:mmultiscripts>	 </xsl:when>	 <xsl:when test="$cy/@location=\'ne\'">	  <m:msup><xsl:copy-of select="$b"/><m:mpadded width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msup>	 </xsl:when>	 <xsl:when test="$cy/@location=\'se\'">	  <m:msub><xsl:copy-of select="$b"/><m:mpadded width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msub>	 </xsl:when>	 <xsl:when test="$cy/@location=\'w\'">	  <m:msup><m:mrow/><m:mpadded lspace="-1width" width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msup>	  <xsl:copy-of select="$b"/>	 </xsl:when>	 <xsl:when test="$cy/@location=\'e\'">	  <xsl:copy-of select="$b"/>	  <m:msup><m:mrow/><m:mpadded width="0em"><xsl:copy-of select="$cy/*"/></m:mpadded></m:msup>	 </xsl:when>	 <xsl:otherwise>	  <xsl:copy-of select="$b"/>	 </xsl:otherwise>	</xsl:choose>       </xsl:copy>      </xsl:for-each>     </xsl:when>     <xsl:otherwise>      <xsl:for-each select="(//*)[position()&lt;= $offset]"><m:mtd/></xsl:for-each>      <xsl:copy-of select="*"/>     </xsl:otherwise>    </xsl:choose>   </m:mtr>  </xsl:for-each> </m:mtable></xsl:variable><xsl:apply-templates mode="ml" select="c:node-set($m)"/></xsl:template><xsl:template match="*" mode="ml"> <xsl:copy>  <xsl:copy-of select="@*"/>  <xsl:apply-templates mode="ml"/> </xsl:copy></xsl:template><xsl:template mode="ml" match="m:mtr[following-sibling::*[1][@class=\'msline\']]"> <m:mtr>  <xsl:copy-of select="@*"/>  <xsl:variable name="m" select="following-sibling::*[1]/m:mtd"/>  <xsl:for-each select="m:mtd">   <xsl:variable name="p" select="position()"/>   <m:mtd>    <xsl:copy-of select="@*"/>    <xsl:choose>     <xsl:when test="$m[$p]/m:mpadded">      <m:menclose notation="bottom">       <m:mpadded depth=".1em" height="1em" width=".4em">	<xsl:copy-of select="*"/>       </m:mpadded>      </m:menclose>     </xsl:when>     <xsl:otherwise>      <xsl:copy-of select="*"/>     </xsl:otherwise>    </xsl:choose>   </m:mtd>  </xsl:for-each> </m:mtr></xsl:template><xsl:template mode="ml" match="m:mtr[not(preceding-sibling::*)][@class=\'msline\']" priority="3"> <m:mtr>  <xsl:copy-of select="@*"/>  <xsl:for-each select="m:mtd">   <m:mtd>    <xsl:copy-of select="@*"/>    <xsl:if test="m:mpadded">     <m:menclose notation="bottom">      <m:mpadded depth=".1em" height="1em" width=".4em">       <m:mspace width=".2em"/>      </m:mpadded>     </m:menclose>    </xsl:if>   </m:mtd>  </xsl:for-each> </m:mtr></xsl:template><xsl:template mode="ml" match="m:mtr[@class=\'msline\']" priority="2"/><xsl:template mode="mstack1" match="*"> <xsl:param name="p"/> <xsl:param name="maxl" select="0"/> <m:mtr l="{1 + $p}">  <xsl:if test="ancestor::mstack[1]/@stackalign=\'left\'">   <xsl:attribute name="l"><xsl:value-of  select="$p"/></xsl:attribute>  </xsl:if>  <m:mtd><xsl:apply-templates select="."/></m:mtd> </m:mtr></xsl:template><xsl:template mode="mstack1" match="m:msrow"> <xsl:param name="p"/> <xsl:param name="maxl" select="0"/> <xsl:variable  name="align1" select="ancestor::m:mstack[1]/@stackalign"/> <xsl:variable name="align">  <xsl:choose>   <xsl:when test="string($align1)=\'\'">decimalpoint</xsl:when>   <xsl:otherwise><xsl:value-of select="$align1"/></xsl:otherwise>  </xsl:choose> </xsl:variable> <xsl:variable name="row">  <xsl:apply-templates mode="mstack1" select="*">   <xsl:with-param name="p" select="0"/>  </xsl:apply-templates> </xsl:variable> <xsl:text>&#10;</xsl:text> <xsl:variable name="l1">  <xsl:choose>   <xsl:when test="$align=\'decimalpoint\' and m:mn">    <xsl:for-each select="c:node-set($row)/m:mtr[m:mtd/m:mn][1]">     <xsl:value-of select="number(sum(@l))+count(preceding-sibling::*/@l)"/>    </xsl:for-each>   </xsl:when>   <xsl:when test="$align=\'right\' or $align=\'decimalpoint\'">    <xsl:value-of select="count(c:node-set($row)/m:mtr/m:mtd)"/>   </xsl:when>   <xsl:otherwise>    <xsl:value-of select="0"/>   </xsl:otherwise>  </xsl:choose> </xsl:variable> <m:mtr class="msrow" l="{number($l1) + number(sum(@position)) +$p}">  <xsl:copy-of select="c:node-set($row)/m:mtr/*"/> </m:mtr></xsl:template><xsl:template mode="mstack1" match="m:mn"> <xsl:param name="p"/> <xsl:variable name="align1" select="ancestor::m:mstack[1]/@stackalign"/> <xsl:variable name="dp1" select="ancestor::*[@decimalpoint][1]/@decimalpoint"/> <xsl:variable name="align">  <xsl:choose>   <xsl:when test="string($align1)=\'\'">decimalpoint</xsl:when>   <xsl:otherwise><xsl:value-of select="$align1"/></xsl:otherwise>  </xsl:choose> </xsl:variable> <xsl:variable name="dp">  <xsl:choose>   <xsl:when test="string($dp1)=\'\'">.</xsl:when>   <xsl:otherwise><xsl:value-of select="$dp1"/></xsl:otherwise>  </xsl:choose> </xsl:variable> <m:mtr l="$p">  <xsl:variable name="mn" select="normalize-space(.)"/>  <xsl:variable name="len" select="string-length($mn)"/>  <xsl:choose>   <xsl:when test="$align=\'right\' or ($align=\'decimalpoint\' and not(contains($mn,$dp)))">    <xsl:attribute name="l"><xsl:value-of select="$p + $len"/></xsl:attribute>   </xsl:when>   <xsl:when test="$align=\'center\'">    <xsl:attribute name="l"><xsl:value-of select="round(($p + $len) div 2)"/></xsl:attribute>   </xsl:when>   <xsl:when test="$align=\'decimalpoint\'">    <xsl:attribute name="l"><xsl:value-of select="$p + string-length(substring-before($mn,$dp))"/></xsl:attribute>   </xsl:when>  </xsl:choose>  <xsl:for-each select="(//node())[position() &lt;=$len]">   <xsl:variable name="pos" select="position()"/>   <m:mtd><m:mn><xsl:value-of select="substring($mn,$pos,1)"/></m:mn></m:mtd>  </xsl:for-each> </m:mtr></xsl:template><xsl:template match="m:msgroup" mode="mstack1"> <xsl:param name="p"/> <xsl:variable name="s" select="number(sum(@shift))"/> <xsl:variable name="thisp" select="number(sum(@position))"/> <xsl:for-each select="*">  <xsl:apply-templates mode="mstack1" select=".">   <xsl:with-param name="p" select="number($p)+$thisp+(position()-1)*$s"/>  </xsl:apply-templates> </xsl:for-each></xsl:template><xsl:template match="m:msline" mode="mstack1"> <xsl:param name="p"/> <xsl:variable  name="align1" select="ancestor::m:mstack[1]/@stackalign"/> <xsl:variable name="align">  <xsl:choose>   <xsl:when test="string($align1)=\'\'">decimalpoint</xsl:when>   <xsl:otherwise><xsl:value-of select="$align1"/></xsl:otherwise>  </xsl:choose> </xsl:variable> <m:mtr class="msline">  <xsl:attribute name="l">   <xsl:choose>    <xsl:when test="not(string(@length)) or @length=0">*</xsl:when>    <xsl:when test="string($align)=\'right\' or string($align)=\'decimalpoint\' "><xsl:value-of select="$p+ @length"/></xsl:when>    <xsl:otherwise><xsl:value-of select="$p"/></xsl:otherwise>   </xsl:choose>  </xsl:attribute>  <xsl:variable name="w">   <xsl:choose>    <xsl:when test="@mslinethickness=\'thin\'">0.1em</xsl:when>    <xsl:when test="@mslinethickness=\'medium\'">0.15em</xsl:when>    <xsl:when test="@mslinethickness=\'thick\'">0.2em</xsl:when>    <xsl:when test="@mslinethickness"><xsl:value-of select="@mslinethickness"/></xsl:when>    <xsl:otherwise>0.15em</xsl:otherwise>   </xsl:choose>  </xsl:variable>  <xsl:choose>   <xsl:when test="not(string(@length)) or @length=0">    <m:mtd class="mslinemax">     <m:mpadded lspace="-0.2em" width="0em" height="0em">      <m:mfrac linethickness="{$w}">       <m:mspace width=".4em"/>       <m:mrow/>      </m:mfrac>     </m:mpadded>    </m:mtd>   </xsl:when>   <xsl:otherwise>    <xsl:variable name="l" select="@length"/>    <xsl:for-each select="(//node())[position()&lt;=$l]">     <m:mtd class="msline">      <m:mpadded lspace="-0.2em" width="0em" height="0em">       <m:mfrac linethickness="{$w}">	<m:mspace width=".4em"/>	<m:mrow/>       </m:mfrac>      </m:mpadded>     </m:mtd>    </xsl:for-each>   </xsl:otherwise>  </xsl:choose> </m:mtr></xsl:template><xsl:template match="m:mscarries" mode="mstack1"> <xsl:param name="p"/> <xsl:variable  name="align1" select="ancestor::m:mstack[1]/@stackalign"/> <xsl:variable name="l1">  <xsl:choose>   <xsl:when test="string($align1)=\'left\'">0</xsl:when>   <xsl:otherwise><xsl:value-of select="count(*)"/></xsl:otherwise>  </xsl:choose> </xsl:variable> <m:mtr class="mscarries" l="{$p + $l1 + sum(@position)}">  <xsl:apply-templates select="*" mode="msc"/> </m:mtr></xsl:template><xsl:template match="*" mode="msc"> <m:mtd>  <xsl:copy-of select="../@location|../@crossout"/>  <xsl:choose>   <xsl:when test="../@scriptsizemultiplier">    <m:mstyle mathsize="{round(../@scriptsizemultiplier div .007)}%">     <xsl:apply-templates select="."/>    </m:mstyle>   </xsl:when>   <xsl:otherwise>    <xsl:apply-templates select="."/>   </xsl:otherwise>  </xsl:choose> </m:mtd></xsl:template><xsl:template match="m:mscarry" mode="msc"> <m:mtd> <xsl:copy-of select="@location|@crossout"/>  <xsl:choose>   <xsl:when test="../@scriptsizemultiplier">    <m:mstyle mathsize="{round(../@scriptsizemultiplier div .007)}%">     <xsl:apply-templates/>    </m:mstyle>   </xsl:when>   <xsl:otherwise>    <xsl:apply-templates/>   </xsl:otherwise>  </xsl:choose> </m:mtd></xsl:template><xsl:template match="m:mlongdiv" priority="11"> <xsl:variable name="ms">  <m:mstack>   <xsl:copy-of select="(ancestor-or-self::*/@decimalpoint)[last()]"/>   <xsl:choose>    <xsl:when test="@longdivstyle=\'left)(right\'">     <m:msrow>      <m:mrow><xsl:copy-of select="*[1]"/></m:mrow>      <m:mo>)</m:mo>      <xsl:copy-of select="*[3]"/>      <m:mo>(</m:mo>      <xsl:copy-of select="*[2]"/>     </m:msrow>    </xsl:when>    <xsl:when test="@longdivstyle=\'left/\right\'">     <m:msrow>      <m:mrow><xsl:copy-of select="*[1]"/></m:mrow>      <m:mo>/</m:mo>      <xsl:copy-of select="*[3]"/>      <m:mo></m:mo>      <xsl:copy-of select="*[2]"/>     </m:msrow>    </xsl:when>    <xsl:when test="@longdivstyle=\':right=right\'">     <m:msrow>      <xsl:copy-of select="*[3]"/>      <m:mo>:</m:mo>      <xsl:copy-of select="*[1]"/>      <m:mo>=</m:mo>      <xsl:copy-of select="*[2]"/>     </m:msrow>    </xsl:when>    <xsl:when test="@longdivstyle=\'stackedrightright\'		    or @longdivstyle=\'mediumstackedrightright\'		    or @longdivstyle=\'shortstackedrightright\'		    or @longdivstyle=\'stackedleftleft\'		    ">     <xsl:attribute name="align">top</xsl:attribute>     <xsl:copy-of select="*[3]"/>    </xsl:when>    <xsl:when test="@longdivstyle=\'stackedleftlinetop\'">     <xsl:copy-of select="*[2]"/>     <m:msline length="{string-length(*[3])-1}"/>     <m:msrow>      <m:mrow>     <m:menclose notation="bottom right">      <xsl:copy-of select="*[1]"/>     </m:menclose>      </m:mrow>      <xsl:copy-of select="*[3]"/>     </m:msrow>    </xsl:when>    <xsl:when test="@longdivstyle=\'righttop\'">     <xsl:copy-of select="*[2]"/>     <m:msline length="{string-length(*[3])}"/>     <m:msrow>      <xsl:copy-of select="*[3]"/>      <m:menclose notation="top left bottom">       <xsl:copy-of select="*[1]"/></m:menclose>     </m:msrow>    </xsl:when>    <xsl:otherwise>     <xsl:copy-of select="*[2]"/>     <m:msline length="{string-length(*[3])}"/>     <m:msrow>      <m:mrow><xsl:copy-of select="*[1]"/></m:mrow>      <m:mo>)</m:mo>      <xsl:copy-of select="*[3]"/>     </m:msrow>    </xsl:otherwise>   </xsl:choose>   <xsl:copy-of select="*[position()&gt;3]"/>  </m:mstack> </xsl:variable> <xsl:choose>  <xsl:when test="@longdivstyle=\'stackedrightright\'">   <m:menclose notation="right">    <xsl:apply-templates select="c:node-set($ms)"/>   </m:menclose>   <m:mtable align="top">    <m:mtr>     <m:menclose notation="bottom">      <xsl:copy-of select="*[1]"/>     </m:menclose>    </m:mtr>    <m:mtr>     <mtd><xsl:copy-of select="*[2]"/></mtd>    </m:mtr>   </m:mtable>  </xsl:when>    <xsl:when test="@longdivstyle=\'mediumstackedrightright\'">    <xsl:apply-templates select="c:node-set($ms)"/>   <m:menclose notation="left">   <m:mtable align="top">    <m:mtr>     <m:menclose notation="bottom">      <xsl:copy-of select="*[1]"/>     </m:menclose>    </m:mtr>    <m:mtr>     <mtd><xsl:copy-of select="*[2]"/></mtd>    </m:mtr>   </m:mtable>   </m:menclose>  </xsl:when>  <xsl:when test="@longdivstyle=\'shortstackedrightright\'">    <xsl:apply-templates select="c:node-set($ms)"/>   <m:mtable align="top">    <m:mtr>     <m:menclose notation="left bottom">      <xsl:copy-of select="*[1]"/>     </m:menclose>    </m:mtr>    <m:mtr>     <mtd><xsl:copy-of select="*[2]"/></mtd>    </m:mtr>   </m:mtable>  </xsl:when>  <xsl:when test="@longdivstyle=\'stackedleftleft\'">   <m:mtable align="top">    <m:mtr>     <m:menclose notation="bottom">      <xsl:copy-of select="*[1]"/>     </m:menclose>    </m:mtr>    <m:mtr>     <mtd><xsl:copy-of select="*[2]"/></mtd>    </m:mtr>   </m:mtable>   <m:menclose notation="left">    <xsl:apply-templates select="c:node-set($ms)"/>   </m:menclose>  </xsl:when>  <xsl:otherwise>   <xsl:apply-templates select="c:node-set($ms)"/>  </xsl:otherwise> </xsl:choose></xsl:template><xsl:template match="m:menclose[@notation=\'madruwb\']" mode="rtl"> <m:menclose notation="bottom right">  <xsl:apply-templates mode="rtl"/> </m:menclose></xsl:template></xsl:stylesheet>';var b;if(window.XSLTProcessor){if(!d.ParseXML){d.ParseXML=d.createParser()}d.mml3XSLT=new XSLTProcessor();d.mml3XSLT.importStylesheet(d.ParseXML(e))}else{if(MathJax.Hub.Browser.isMSIE){if(MathJax.Hub.Browser.versionAtLeast("9.0")||(document.documentMode||0)>=9){b=new ActiveXObject("Msxml2.FreeThreadedDOMDocument");b.loadXML(e);var a=new ActiveXObject("Msxml2.XSLTemplate");a.stylesheet=b;d.mml3XSLT={mml3:a.createProcessor(),transformToDocument:function(h){this.mml3.input=h;this.mml3.transform();return this.mml3.output}}}else{b=d.createMSParser();b.async=false;b.loadXML(e);d.mml3XSLT={mml3:b,transformToDocument:function(h){return h.documentElement.transformNode(this.mml3)}}}}else{d.mml3XSLT=null}}MathJax.Ajax.Styles({".MathJax .mi, .MathJax .mo, .MathJax .mn, .MathJax .mtext":{direction:"ltr",display:"inline-block"},".MathJax .ms, .MathJax .mspace, .MathJax .mglyph":{direction:"ltr",display:"inline-block"}});MathJax.Hub.Startup.signal.Post("MathML mml3.js Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/MathML/mml3.js");
diff --git a/extensions/MathMenu.js b/extensions/MathMenu.js
index 1896c3b8a0..1db70d99d6 100644
--- a/extensions/MathMenu.js
+++ b/extensions/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/MathMenu.js
+ *  /MathJax-v2/extensions/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(f,o,q,e,r){var p="2.7.6";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
+(function(f,o,q,e,r){var p="2.7.9";var d=MathJax.Callback.Signal("menu");MathJax.Extension.MathMenu={version:p,signal:d};var t=function(u){return MathJax.Localization._.apply(MathJax.Localization,[["MathMenu",u]].concat([].slice.call(arguments,1)))};var i=MathJax.Object.isArray;var a=f.Browser.isPC,l=f.Browser.isMSIE,m=((document.documentMode||0)>8);var j=(a?null:"5px");var s=f.CombineConfig("MathMenu",{delay:150,showRenderer:true,showMathPlayer:true,showFontMenu:false,showContext:false,showDiscoverable:false,showLocale:true,showLocaleURL:false,semanticsAnnotations:{TeX:["TeX","LaTeX","application/x-tex"],StarMath:["StarMath 5.0"],Maple:["Maple"],ContentMathML:["MathML-Content","application/mathml-content+xml"],OpenMath:["OpenMath"]},windowSettings:{status:"no",toolbar:"no",locationbar:"no",menubar:"no",directories:"no",personalbar:"no",resizable:"yes",scrollbars:"yes",width:400,height:300,left:Math.round((screen.width-400)/2),top:Math.round((screen.height-300)/3)},styles:{"#MathJax_About":{position:"fixed",left:"50%",width:"auto","text-align":"center",border:"3px outset",padding:"1em 2em","background-color":"#DDDDDD",color:"black",cursor:"default","font-family":"message-box","font-size":"120%","font-style":"normal","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":"15px","-webkit-border-radius":"15px","-moz-border-radius":"15px","-khtml-border-radius":"15px","box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_About.MathJax_MousePost":{outline:"none"},".MathJax_Menu":{position:"absolute","background-color":"white",color:"black",width:"auto",padding:(a?"2px":"5px 0px"),border:"1px solid #CCCCCC",margin:0,cursor:"default",font:"menu","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","z-index":201,"border-radius":j,"-webkit-border-radius":j,"-moz-border-radius":j,"-khtml-border-radius":j,"box-shadow":"0px 10px 20px #808080","-webkit-box-shadow":"0px 10px 20px #808080","-moz-box-shadow":"0px 10px 20px #808080","-khtml-box-shadow":"0px 10px 20px #808080",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},".MathJax_MenuItem":{padding:(a?"2px 2em":"1px 2em"),background:"transparent"},".MathJax_MenuArrow":{position:"absolute",right:".5em","padding-top":".25em",color:"#666666","font-family":(l?"'Arial unicode MS'":null),"font-size":".75em"},".MathJax_MenuActive .MathJax_MenuArrow":{color:"white"},".MathJax_MenuArrow.RTL":{left:".5em",right:"auto"},".MathJax_MenuCheck":{position:"absolute",left:".7em","font-family":(l?"'Arial unicode MS'":null)},".MathJax_MenuCheck.RTL":{right:".7em",left:"auto"},".MathJax_MenuRadioCheck":{position:"absolute",left:(a?"1em":".7em")},".MathJax_MenuRadioCheck.RTL":{right:(a?"1em":".7em"),left:"auto"},".MathJax_MenuLabel":{padding:(a?"2px 2em 4px 1.33em":"1px 2em 3px 1.33em"),"font-style":"italic"},".MathJax_MenuRule":{"border-top":(a?"1px solid #CCCCCC":"1px solid #DDDDDD"),margin:(a?"4px 1px 0px":"4px 3px")},".MathJax_MenuDisabled":{color:"GrayText"},".MathJax_MenuActive":{"background-color":(a?"Highlight":"#606872"),color:(a?"HighlightText":"white")},".MathJax_MenuDisabled:focus, .MathJax_MenuLabel:focus":{"background-color":"#E8E8E8"},".MathJax_ContextMenu:focus":{outline:"none"},".MathJax_ContextMenu .MathJax_MenuItem:focus":{outline:"none"},"#MathJax_AboutClose":{top:".2em",right:".2em"},".MathJax_Menu .MathJax_MenuClose":{top:"-10px",left:"-10px"},".MathJax_MenuClose":{position:"absolute",cursor:"pointer",display:"inline-block",border:"2px solid #AAA","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","font-family":"'Courier New',Courier","font-size":"24px",color:"#F0F0F0"},".MathJax_MenuClose span":{display:"block","background-color":"#AAA",border:"1.5px solid","border-radius":"18px","-webkit-border-radius":"18px","-moz-border-radius":"18px","-khtml-border-radius":"18px","line-height":0,padding:"8px 0 6px"},".MathJax_MenuClose:hover":{color:"white!important",border:"2px solid #CCC!important"},".MathJax_MenuClose:hover span":{"background-color":"#CCC!important"},".MathJax_MenuClose:hover:focus":{outline:"none"}}});var n,k,b;f.Register.StartupHook("MathEvents Ready",function(){n=MathJax.Extension.MathEvents.Event.False;k=MathJax.Extension.MathEvents.Hover;b=MathJax.Extension.MathEvents.Event.KEY});var h=MathJax.Object.Subclass({Keydown:function(u,v){switch(u.keyCode){case b.ESCAPE:this.Remove(u,v);break;case b.RIGHT:this.Right(u,v);break;case b.LEFT:this.Left(u,v);break;case b.UP:this.Up(u,v);break;case b.DOWN:this.Down(u,v);break;case b.RETURN:case b.SPACE:this.Space(u,v);break;default:return;break}return n(u)},Escape:function(u,v){},Right:function(u,v){},Left:function(u,v){},Up:function(u,v){},Down:function(u,v){},Space:function(u,v){}},{});var g=MathJax.Menu=h.Subclass({version:p,items:[],posted:false,title:null,margin:5,Init:function(u){this.items=[].slice.call(arguments,0)},With:function(u){if(u){f.Insert(this,u)}return this},Post:function(M,E,B){if(!M){M=window.event||{}}var I=document.getElementById("MathJax_MenuFrame");if(!I){I=g.Background(this);delete c.lastItem;delete c.lastMenu;delete g.skipUp;d.Post(["post",g.jax]);g.isRTL=(MathJax.Localization.fontDirection()==="rtl")}var v=o.Element("div",{onmouseup:g.Mouseup,ondblclick:n,ondragstart:n,onselectstart:n,oncontextmenu:n,menuItem:this,className:"MathJax_Menu",onkeydown:g.Keydown,role:"menu"});if(M.type==="contextmenu"||M.type==="mouseover"){v.className+=" MathJax_ContextMenu"}if(!B){MathJax.Localization.setCSS(v)}for(var N=0,K=this.items.length;N<K;N++){this.items[N].Create(v)}if(g.isMobile){o.addElement(v,"span",{className:"MathJax_MenuClose",menu:E,ontouchstart:g.Close,ontouchend:n,onmousedown:g.Close,onmouseup:n},[["span",{},"\u00D7"]])}I.appendChild(v);this.posted=true;if(v.offsetWidth){v.style.width=(v.offsetWidth+2)+"px"}var H=M.pageX,F=M.pageY;var u=document.body.getBoundingClientRect();var C=(window.getComputedStyle?window.getComputedStyle(document.body):{marginLeft:"0px"});var A=u.right-Math.min(0,u.left)+parseFloat(C.marginLeft);if(!H&&!F&&"clientX" in M){H=M.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;F=M.clientY+document.body.scrollTop+document.documentElement.scrollTop}if(!E){var L=g.CurrentNode()||M.target;if((M.type==="keydown"||(!H&&!F))&&L){var P=window.pageXOffset||document.documentElement.scrollLeft;var O=window.pageYOffset||document.documentElement.scrollTop;var w=L.getBoundingClientRect();H=(w.right+w.left)/2+P;F=(w.bottom+w.top)/2+O}if(H+v.offsetWidth>A-this.margin){H=A-v.offsetWidth-this.margin}if(g.isMobile){H=Math.max(5,H-Math.floor(v.offsetWidth/2));F-=20}g.skipUp=M.isContextMenu}else{var z="left",J=E.offsetWidth;H=(g.isMobile?30:J-2);F=0;while(E&&E!==I){H+=E.offsetLeft;F+=E.offsetTop;E=E.parentNode}if(!g.isMobile){if((g.isRTL&&H-J-v.offsetWidth>this.margin)||(!g.isRTL&&H+v.offsetWidth>A-this.margin)){z="right";H=Math.max(this.margin,H-J-v.offsetWidth+6)}}if(!a){v.style["borderRadiusTop"+z]=0;v.style["WebkitBorderRadiusTop"+z]=0;v.style["MozBorderRadiusTop"+z]=0;v.style["KhtmlBorderRadiusTop"+z]=0}}v.style.left=H+"px";v.style.top=F+"px";if(document.selection&&document.selection.empty){document.selection.empty()}var G=window.pageXOffset||document.documentElement.scrollLeft;var D=window.pageYOffset||document.documentElement.scrollTop;g.Focus(v);if(M.type==="keydown"){g.skipMouseoverFromKey=true;setTimeout(function(){delete g.skipMouseoverFromKey},s.delay)}window.scrollTo(G,D);return n(M)},Remove:function(u,v){d.Post(["unpost",g.jax]);var w=document.getElementById("MathJax_MenuFrame");if(w){w.parentNode.removeChild(w);if(this.msieFixedPositionBug){detachEvent("onresize",g.Resize)}}if(g.jax.hover){delete g.jax.hover.nofade;k.UnHover(g.jax)}g.Unfocus(v);if(u.type==="mousedown"){g.CurrentNode().blur()}return n(u)},Find:function(u){return this.FindN(1,u,[].slice.call(arguments,1))},FindId:function(u){return this.FindN(0,u,[].slice.call(arguments,1))},FindN:function(y,v,x){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[y]===v){if(x.length){if(!this.items[w].submenu){return null}return this.items[w].submenu.FindN(y,x[0],x.slice(1))}return this.items[w]}}return null},IndexOf:function(u){return this.IndexOfN(1,u)},IndexOfId:function(u){return this.IndexOfN(0,u)},IndexOfN:function(x,v){for(var w=0,u=this.items.length;w<u;w++){if(this.items[w].name[x]===v){return w}}return null},Right:function(u,v){g.Right(u,v)},Left:function(u,v){g.Left(u,v)},Up:function(v,w){var u=w.lastChild;u.menuItem.Activate(v,u)},Down:function(v,w){var u=w.firstChild;u.menuItem.Activate(v,u)},Space:function(u,v){this.Remove(u,v)}},{config:s,Remove:function(u){return g.Event(u,this,"Remove")},Mouseover:function(u){return g.Event(u,this,"Mouseover")},Mouseout:function(u){return g.Event(u,this,"Mouseout")},Mousedown:function(u){return g.Event(u,this,"Mousedown")},Mouseup:function(u){return g.Event(u,this,"Mouseup")},Keydown:function(u){return g.Event(u,this,"Keydown")},Touchstart:function(u){return g.Event(u,this,"Touchstart")},Touchend:function(u){return g.Event(u,this,"Touchend")},Close:function(u){return g.Event(u,this.menu||this.parentNode,(this.menu?"Touchend":"Remove"))},Event:function(w,y,u,x){if(g.skipMouseover&&u==="Mouseover"&&!x){return n(w)}if(g.skipMouseoverFromKey&&u==="Mouseover"){delete g.skipMouseoverFromKey;return n(w)}if(g.skipUp){if(u.match(/Mouseup|Touchend/)){delete g.skipUp;return n(w)}if(u==="Touchstart"||(u==="Mousedown"&&!g.skipMousedown)){delete g.skipUp}}if(!w){w=window.event}var v=y.menuItem;if(v&&v[u]){return v[u](w,y)}return null},BGSTYLE:{position:"absolute",left:0,top:0,"z-index":200,width:"100%",height:"100%",border:0,padding:0,margin:0},Background:function(v){var w=o.addElement(document.body,"div",{style:this.BGSTYLE,id:"MathJax_MenuFrame"},[["div",{style:this.BGSTYLE,menuItem:v,onmousedown:this.Remove}]]);var u=w.firstChild;if(g.msieBackgroundBug){u.style.backgroundColor="white";u.style.filter="alpha(opacity=0)"}if(g.msieFixedPositionBug){w.width=w.height=0;this.Resize();attachEvent("onresize",this.Resize)}else{u.style.position="fixed"}return w},Resize:function(){setTimeout(g.SetWH,0)},SetWH:function(){var u=document.getElementById("MathJax_MenuFrame");if(u){u=u.firstChild;u.style.width=u.style.height="1px";u.style.width=document.body.scrollWidth+"px";u.style.height=document.body.scrollHeight+"px"}},posted:false,active:null,GetNode:function(u){var v=document.getElementById(u.inputID+"-Frame");return v.isMathJax?v:v.firstChild},CurrentNode:function(){return g.GetNode(g.jax)},AllNodes:function(){var v=MathJax.Hub.getAllJax();var w=[];for(var x=0,u;u=v[x];x++){w.push(g.GetNode(u))}return w},ActiveNode:function(){return g.active},FocusNode:function(u){g.active=u;u.focus()},Focus:function(u){!g.posted?g.Activate(u):g.ActiveNode().tabIndex=-1;u.tabIndex=0;g.FocusNode(u)},Activate:function(u,v){g.UnsetTabIndex();g.posted=true},Unfocus:function(){g.ActiveNode().tabIndex=-1;g.SetTabIndex();g.FocusNode(g.CurrentNode());g.posted=false},MoveHorizontal:function(y,z,w){if(!y.shiftKey){return}var v=g.AllNodes();var u=v.length;if(u===0){return}var x=v[g.Mod(w(g.IndexOf(v,g.CurrentNode())),u)];if(x===g.CurrentNode()){return}g.menu.Remove(y,z);g.jax=MathJax.Hub.getJaxFor(x);g.FocusNode(x);g.menu.Post(null)},Right:function(u,v){g.MoveHorizontal(u,v,function(w){return w+1})},Left:function(u,v){g.MoveHorizontal(u,v,function(w){return w-1})},UnsetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.tabIndex>0){u.oldTabIndex=u.tabIndex}u.tabIndex=-1}},SetTabIndex:function(){var v=g.AllNodes();for(var w=0,u;u=v[w];w++){if(u.oldTabIndex!==undefined){u.tabIndex=u.oldTabIndex;delete u.oldTabIndex}else{u.tabIndex=f.getTabOrder(u)}}},Mod:function(u,v){return((u%v)+v)%v},IndexOf:(Array.prototype.indexOf?function(u,v,w){return u.indexOf(v,w)}:function(u,x,y){for(var w=(y||0),v=u.length;w<v;w++){if(x===u[w]){return w}}return -1}),saveCookie:function(){o.Cookie.Set("menu",this.cookie)},getCookie:function(){this.cookie=o.Cookie.Get("menu")}});MathJax.Menu.NAV=h;var c=g.ITEM=h.Subclass({name:"",node:null,menu:null,Attributes:function(u){return f.Insert({onmouseup:g.Mouseup,ondragstart:n,onselectstart:n,onselectend:n,ontouchstart:g.Touchstart,ontouchend:g.Touchend,className:"MathJax_MenuItem",role:this.role,menuItem:this},u)},Create:function(w){if(!this.hidden){var v=this.Attributes();var u=this.Label(v,w);o.addElement(w,"div",v,u)}},Name:function(){return t(this.name[0],this.name[1])},Mouseover:function(u,v){if(v.parentNode===g.ActiveNode().parentNode){this.Deactivate(g.ActiveNode())}this.Activate(u,v)},Mouseout:function(u,v){this.Deactivate(v)},Mouseup:function(u,v){return this.Remove(u,v)},DeactivateSubmenus:function(z){var y=document.getElementById("MathJax_MenuFrame").childNodes,v=c.GetMenuNode(z).childNodes;for(var w=0,u=v.length;w<u;w++){var x=v[w].menuItem;if(x&&x.submenu&&x.submenu.posted&&x!==z.menuItem){x.Deactivate(v[w])}}this.RemoveSubmenus(z,y)},RemoveSubmenus:function(w,v){v=v||document.getElementById("MathJax_MenuFrame").childNodes;var u=v.length-1;while(u>=0&&c.GetMenuNode(w).menuItem!==v[u].menuItem){v[u].menuItem.posted=false;v[u].parentNode.removeChild(v[u]);u--}},Touchstart:function(u,v){return this.TouchEvent(u,v,"Mousedown")},Touchend:function(u,v){return this.TouchEvent(u,v,"Mouseup")},TouchEvent:function(v,w,u){if(this!==c.lastItem){if(c.lastMenu){g.Event(v,c.lastMenu,"Mouseout")}g.Event(v,w,"Mouseover",true);c.lastItem=this;c.lastMenu=w}if(this.nativeTouch){return null}g.Event(v,w,u);return false},Remove:function(u,v){v=v.parentNode.menuItem;return v.Remove(u,v)},With:function(u){if(u){f.Insert(this,u)}return this},isRTL:function(){return g.isRTL},rtlClass:function(){return(this.isRTL()?" RTL":"")}},{GetMenuNode:function(u){return u.parentNode}});g.ENTRY=g.ITEM.Subclass({role:"menuitem",Attributes:function(u){u=f.Insert({onmouseover:g.Mouseover,onmouseout:g.Mouseout,onmousedown:g.Mousedown,onkeydown:g.Keydown,"aria-disabled":!!this.disabled},u);u=this.SUPER(arguments).Attributes.call(this,u);if(this.disabled){u.className+=" MathJax_MenuDisabled"}return u},MoveVertical:function(u,E,w){var x=c.GetMenuNode(E);var D=[];for(var z=0,C=x.menuItem.items,y;y=C[z];z++){if(!y.hidden){D.push(y)}}var B=g.IndexOf(D,this);if(B===-1){return}var A=D.length;var v=x.childNodes;do{B=g.Mod(w(B),A)}while(D[B].hidden||!v[B].role||v[B].role==="separator");this.Deactivate(E);D[B].Activate(u,v[B])},Up:function(v,u){this.MoveVertical(v,u,function(w){return w-1})},Down:function(v,u){this.MoveVertical(v,u,function(w){return w+1})},Right:function(v,u){this.MoveHorizontal(v,u,g.Right,!this.isRTL())},Left:function(v,u){this.MoveHorizontal(v,u,g.Left,this.isRTL())},MoveHorizontal:function(A,z,u,B){var x=c.GetMenuNode(z);if(x.menuItem===g.menu&&A.shiftKey){u(A,z)}if(B){return}if(x.menuItem!==g.menu){this.Deactivate(z)}var v=x.previousSibling.childNodes;var y=v.length;while(y--){var w=v[y];if(w.menuItem.submenu&&w.menuItem.submenu===x.menuItem){g.Focus(w);break}}this.RemoveSubmenus(z)},Space:function(u,v){this.Mouseup(u,v)},Activate:function(u,v){this.Deactivate(v);if(!this.disabled){v.className+=" MathJax_MenuActive"}this.DeactivateSubmenus(v);g.Focus(v)},Deactivate:function(u){u.className=u.className.replace(/ MathJax_MenuActive/,"")}});g.ITEM.COMMAND=g.ENTRY.Subclass({action:function(){},Init:function(u,w,v){if(!i(u)){u=[u,u]}this.name=u;this.action=w;this.With(v)},Label:function(u,v){return[this.Name()]},Mouseup:function(u,v){if(!this.disabled){this.Remove(u,v);d.Post(["command",this]);this.action.call(this,u)}return n(u)}});g.ITEM.SUBMENU=g.ENTRY.Subclass({submenu:null,marker:"\u25BA",markerRTL:"\u25C4",Attributes:function(u){u=f.Insert({"aria-haspopup":"true"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Init:function(u,w){if(!i(u)){u=[u,u]}this.name=u;var v=1;if(!(w instanceof g.ITEM)){this.With(w),v++}this.submenu=g.apply(g,[].slice.call(arguments,v))},Label:function(u,v){this.submenu.posted=false;return[this.Name()+" ",["span",{className:"MathJax_MenuArrow"+this.rtlClass()},[this.isRTL()?this.markerRTL:this.marker]]]},Timer:function(u,v){this.ClearTimer();u={type:u.type,clientX:u.clientX,clientY:u.clientY};this.timer=setTimeout(e(["Mouseup",this,u,v]),s.delay)},ClearTimer:function(){if(this.timer){clearTimeout(this.timer)}},Touchend:function(v,x){var w=this.submenu.posted;var u=this.SUPER(arguments).Touchend.apply(this,arguments);if(w){this.Deactivate(x);delete c.lastItem;delete c.lastMenu}return u},Mouseout:function(u,v){if(!this.submenu.posted){this.Deactivate(v)}this.ClearTimer()},Mouseover:function(u,v){this.Activate(u,v)},Mouseup:function(u,v){if(!this.disabled){if(!this.submenu.posted){this.ClearTimer();this.submenu.Post(u,v,this.ltr);g.Focus(v)}else{this.DeactivateSubmenus(v)}}return n(u)},Activate:function(u,v){if(!this.disabled){this.Deactivate(v);v.className+=" MathJax_MenuActive"}if(!this.submenu.posted){this.DeactivateSubmenus(v);if(!g.isMobile){this.Timer(u,v)}}g.Focus(v)},MoveVertical:function(w,v,u){this.ClearTimer();this.SUPER(arguments).MoveVertical.apply(this,arguments)},MoveHorizontal:function(w,y,v,x){if(!x){this.SUPER(arguments).MoveHorizontal.apply(this,arguments);return}if(this.disabled){return}if(!this.submenu.posted){this.Activate(w,y);return}var u=c.GetMenuNode(y).nextSibling.childNodes;if(u.length>0){this.submenu.items[0].Activate(w,u[0])}}});g.ITEM.RADIO=g.ENTRY.Subclass({variable:null,marker:(a?"\u25CF":"\u2713"),role:"menuitemradio",Attributes:function(v){var u=s.settings[this.variable]===this.value?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w);if(this.value==null){this.value=this.name[0]}},Label:function(v,w){var u={className:"MathJax_MenuRadioCheck"+this.rtlClass()};if(s.settings[this.variable]!==this.value){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(x,y){if(!this.disabled){var z=y.parentNode.childNodes;for(var v=0,u=z.length;v<u;v++){var w=z[v].menuItem;if(w&&w.variable===this.variable){z[v].firstChild.style.display="none"}}y.firstChild.display="";s.settings[this.variable]=this.value;g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["radio button",this])}this.Remove(x,y);if(this.action&&!this.disabled){this.action.call(g,this)}return n(x)}});g.ITEM.CHECKBOX=g.ENTRY.Subclass({variable:null,marker:"\u2713",role:"menuitemcheckbox",Attributes:function(v){var u=s.settings[this.variable]?"true":"false";v=f.Insert({"aria-checked":u},v);v=this.SUPER(arguments).Attributes.call(this,v);return v},Init:function(v,u,w){if(!i(v)){v=[v,v]}this.name=v;this.variable=u;this.With(w)},Label:function(v,w){var u={className:"MathJax_MenuCheck"+this.rtlClass()};if(!s.settings[this.variable]){u={style:{display:"none"}}}return[["span",u,[this.marker]]," "+this.Name()]},Mouseup:function(u,v){if(!this.disabled){v.firstChild.display=(s.settings[this.variable]?"none":"");s.settings[this.variable]=!s.settings[this.variable];g.cookie[this.variable]=s.settings[this.variable];g.saveCookie();d.Post(["checkbox",this])}this.Remove(u,v);if(this.action&&!this.disabled){this.action.call(g,this)}return n(u)}});g.ITEM.LABEL=g.ENTRY.Subclass({role:"menuitem",Init:function(u,v){if(!i(u)){u=[u,u]}this.name=u;this.With(v)},Label:function(u,v){u.className+=" MathJax_MenuLabel";return[this.Name()]},Activate:function(u,v){this.Deactivate(v);g.Focus(v)},Mouseup:function(u,v){}});g.ITEM.RULE=g.ITEM.Subclass({role:"separator",Attributes:function(u){u=f.Insert({"aria-orientation":"vertical"},u);u=this.SUPER(arguments).Attributes.call(this,u);return u},Label:function(u,v){u.className+=" MathJax_MenuRule";return null}});g.About=function(y){var v=g.About.GetFont();var A=g.About.GetFormat();var u=["MathJax.js v"+MathJax.fileversion,["br"]];u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.InputJax,["InputJax","%1 Input Jax v%2"]);g.About.GetJax(u,MathJax.OutputJax,["OutputJax","%1 Output Jax v%2"]);g.About.GetJax(u,MathJax.ElementJax,["ElementJax","%1 Element Jax v%2"]);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}]);g.About.GetJax(u,MathJax.Extension,["Extension","%1 Extension v%2"],true);u.push(["div",{style:{"border-top":"groove 2px",margin:".25em 0"}}],["center",{},[f.Browser+" v"+f.Browser.version+(A?" \u2014 "+t(A.replace(/ /g,""),A):"")]]);g.About.div=g.Background(g.About);var x=o.addElement(g.About.div,"div",{id:"MathJax_About",tabIndex:0,onkeydown:g.About.Keydown},[["b",{style:{fontSize:"120%"}},["MathJax"]]," v"+MathJax.version,["br"],t(v.replace(/ /g,""),"using "+v),["br"],["br"],["span",{style:{display:"inline-block","text-align":"left","font-size":"80%","max-height":"20em",overflow:"auto","background-color":"#E4E4E4",padding:".4em .6em",border:"1px inset"},tabIndex:0},u],["br"],["br"],["a",{href:"http://www.mathjax.org/"},["www.mathjax.org"]],["span",{className:"MathJax_MenuClose",id:"MathJax_AboutClose",onclick:g.About.Remove,onkeydown:g.About.Keydown,tabIndex:0,role:"button","aria-label":t("CloseAboutDialog","Close about MathJax dialog")},[["span",{},"\u00D7"]]]]);if(y.type==="mouseup"){x.className+=" MathJax_MousePost"}x.focus();MathJax.Localization.setCSS(x);var z=(document.documentElement||{});var w=window.innerHeight||z.clientHeight||z.scrollHeight||0;if(g.prototype.msieAboutBug){x.style.width="20em";x.style.position="absolute";x.style.left=Math.floor((document.documentElement.scrollWidth-x.offsetWidth)/2)+"px";x.style.top=(Math.floor((w-x.offsetHeight)/3)+document.body.scrollTop)+"px"}else{x.style.marginLeft=Math.floor(-x.offsetWidth/2)+"px";x.style.top=Math.floor((w-x.offsetHeight)/3)+"px"}};g.About.Remove=function(u){if(g.About.div){document.body.removeChild(g.About.div);delete g.About.div}};g.About.Keydown=function(u){if(u.keyCode===b.ESCAPE||(this.id==="MathJax_AboutClose"&&(u.keyCode===b.SPACE||u.keyCode===b.RETURN))){g.About.Remove(u);g.CurrentNode().focus();n(u)}},g.About.GetJax=function(v,A,y,x){var z=[];for(var B in A){if(A.hasOwnProperty(B)&&A[B]){if((x&&A[B].version)||(A[B].isa&&A[B].isa(A))){z.push(t(y[0],y[1],(A[B].id||B),A[B].version))}}}z.sort();for(var w=0,u=z.length;w<u;w++){v.push(z[w],["br"])}return v};g.About.GetFont=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};var v={SVG:"web SVG",CommonHTML:"web TeX","HTML-CSS":(u.imgFonts?"image":(u.webFonts?"web":"local")+" "+u.fontInUse)}[u.id]||"generic";return v+" fonts"};g.About.GetFormat=function(){var u=MathJax.Hub.outputJax["jax/mml"][0]||{};if(u.id!=="HTML-CSS"||!u.webFonts||u.imgFonts){return}return u.allowWebFonts.replace(/otf/,"woff or otf")+" fonts"};g.Help=function(u){q.Require("[MathJax]/extensions/HelpDialog.js",function(){MathJax.Extension.Help.Dialog({type:u.type})})};g.ShowSource=function(y){if(!y){y=window.event}var x={screenX:y.screenX,screenY:y.screenY};if(!g.jax){return}if(this.format==="MathML"){var v=MathJax.ElementJax.mml;if(v&&typeof(v.mbase.prototype.toMathML)!=="undefined"){try{g.ShowSource.Text(g.jax.root.toMathML("",g.jax),y)}catch(w){if(!w.restart){throw w}e.After([this,g.ShowSource,x],w.restart)}}else{if(!q.loadingToMathML){q.loadingToMathML=true;g.ShowSource.Window(y);e.Queue(q.Require("[MathJax]/extensions/toMathML.js"),function(){delete q.loadingToMathML;if(!v.mbase.prototype.toMathML){v.mbase.prototype.toMathML=function(){}}},[this,g.ShowSource,x]);return}}}else{if(this.format==="Error"){g.ShowSource.Text(g.jax.errorText,y)}else{if(s.semanticsAnnotations[this.format]){var u=g.jax.root.getAnnotation(this.format);if(u.data[0]){g.ShowSource.Text(u.data[0].toString())}}else{if(g.jax.originalText==null){alert(t("NoOriginalForm","No original form available"));return}g.ShowSource.Text(g.jax.originalText,y)}}}};g.ShowSource.Window=function(v){if(!g.ShowSource.w){var w=[],u=s.windowSettings;for(var x in u){if(u.hasOwnProperty(x)){w.push(x+"="+u[x])}}g.ShowSource.w=window.open("","_blank",w.join(","))}return g.ShowSource.w};g.ShowSource.Text=function(z,x){var u=g.ShowSource.Window(x);delete g.ShowSource.w;z=z.replace(/^\s*/,"").replace(/\s*$/,"");z=z.replace(/&/g,"&amp;").replace(/</g,"&lt;").replace(/>/g,"&gt;");var y=t("EqSource","MathJax Equation Source");if(g.isMobile){u.document.open();u.document.write("<html><head><meta name='viewport' content='width=device-width, initial-scale=1.0' /><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<pre>"+z+"</pre>");u.document.write("<hr><input type='button' value='"+t("Close","Close")+"' onclick='window.close()' />");u.document.write("</body></html>");u.document.close()}else{u.document.open();u.document.write("<html><head><title>"+y+"</title></head><body style='font-size:85%'>");u.document.write("<table><tr><td><pre>"+z+"</pre></td></tr></table>");u.document.write("</body></html>");u.document.close();var v=u.document.body.firstChild;setTimeout(function(){var B=(u.outerHeight-u.innerHeight)||30,A=(u.outerWidth-u.innerWidth)||30,w,E;A=Math.max(140,Math.min(Math.floor(0.5*screen.width),v.offsetWidth+A+25));B=Math.max(40,Math.min(Math.floor(0.5*screen.height),v.offsetHeight+B+25));if(g.prototype.msieHeightBug){B+=35}u.resizeTo(A,B);var D;try{D=x.screenX}catch(C){}if(x&&D!=null){w=Math.max(0,Math.min(x.screenX-Math.floor(A/2),screen.width-A-20));E=Math.max(0,Math.min(x.screenY-Math.floor(B/2),screen.height-B-20));u.moveTo(w,E)}},50)}};g.Scale=function(){var z=["CommonHTML","HTML-CSS","SVG","NativeMML","PreviewHTML"],u=z.length,y=100,w,v;for(w=0;w<u;w++){v=r[z[w]];if(v){y=v.config.scale;break}}var x=prompt(t("ScaleMath","Scale all mathematics (compared to surrounding text) by"),y+"%");if(x){if(x.match(/^\s*\d+(\.\d*)?\s*%?\s*$/)){x=parseFloat(x);if(x){if(x!==y){for(w=0;w<u;w++){v=r[z[w]];if(v){v.config.scale=x}}g.cookie.scale=f.config.scale=x;g.saveCookie();f.Queue(["Rerender",f])}}else{alert(t("NonZeroScale","The scale should not be zero"))}}else{alert(t("PercentScale","The scale should be a percentage (e.g., 120%%)"))}}};g.Zoom=function(){if(!MathJax.Extension.MathZoom){q.Require("[MathJax]/extensions/MathZoom.js")}};g.Renderer=function(){var v=f.outputJax["jax/mml"];if(v[0]!==s.settings.renderer){var y=f.Browser,x,u=g.Renderer.Messages,w;switch(s.settings.renderer){case"NativeMML":if(!s.settings.warnedMML){if(y.isChrome&&y.version.substr(0,3)!=="24."){x=u.MML.WebKit}else{if(y.isSafari&&!y.versionAtLeast("5.0")){x=u.MML.WebKit}else{if(y.isMSIE){if(!y.hasMathPlayer){x=u.MML.MSIE}}else{if(y.isEdge){x=u.MML.WebKit}else{x=u.MML[y]}}}}w="warnedMML"}break;case"SVG":if(!s.settings.warnedSVG){if(y.isMSIE&&!m){x=u.SVG.MSIE}}break}if(x){x=t(x[0],x[1]);x+="\n\n";x+=t("SwitchAnyway","Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)");g.cookie.renderer=v[0].id;g.saveCookie();if(!confirm(x)){g.cookie.renderer=s.settings.renderer=o.Cookie.Get("menu").renderer;g.saveCookie();return}if(w){g.cookie.warned=s.settings.warned=true}g.cookie.renderer=s.settings.renderer;g.saveCookie()}f.Queue(["setRenderer",f,s.settings.renderer,"jax/mml"],["Rerender",f])}};g.Renderer.Messages={MML:{WebKit:["WebkitNativeMMLWarning","Your browser doesn't seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable."],MSIE:["MSIENativeMMLWarning","Internet Explorer requires the MathPlayer plugin in order to process MathML output."],Opera:["OperaNativeMMLWarning","Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly."],Safari:["SafariNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."],Firefox:["FirefoxNativeMMLWarning","Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly."]},SVG:{MSIE:["MSIESVGWarning","SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly."]}};g.AssistiveMML=function(w,u){var v=MathJax.Extension.AssistiveMML;if(!v){if(!u){q.Require("[MathJax]/extensions/AssistiveMML.js",["AssistiveMML",g,w,true])}return}MathJax.Hub.Queue([(s.settings.assistiveMML?"Add":"Remove")+"AssistiveMathML",v])};g.Font=function(){var u=r["HTML-CSS"];if(!u){return}document.location.reload()};g.Locale=function(){MathJax.Localization.setLocale(s.settings.locale);MathJax.Hub.Queue(["Reprocess",MathJax.Hub])};g.LoadLocale=function(){var u=prompt(t("LoadURL","Load translation data from this URL:"));if(u){if(!u.match(/\.js$/)){alert(t("BadURL","The URL should be for a javascript file that defines MathJax translation data.  Javascript file names should end with '.js'"))}q.Require(u,function(v){if(v!=q.STATUS.OK){alert(t("BadData","Failed to load translation data from %1",u))}})}};g.MPEvents=function(w){var v=s.settings.discoverable,u=g.MPEvents.Messages;if(!m){if(s.settings.mpMouse&&!confirm(t.apply(t,u.IE8warning))){delete g.cookie.mpContext;delete s.settings.mpContext;delete g.cookie.mpMouse;delete s.settings.mpMouse;g.saveCookie();return}s.settings.mpContext=s.settings.mpMouse;g.cookie.mpContext=g.cookie.mpMouse=s.settings.mpMouse;g.saveCookie();MathJax.Hub.Queue(["Rerender",MathJax.Hub])}else{if(!v&&w.name[1]==="Menu Events"&&s.settings.mpContext){alert(t.apply(t,u.IE9warning))}}};g.MPEvents.Messages={IE8warning:["IE8warning","This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?"],IE9warning:["IE9warning","The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead."]};f.Browser.Select({MSIE:function(u){var v=(document.compatMode==="BackCompat");var w=u.versionAtLeast("8.0")&&document.documentMode>7;g.Augment({margin:20,msieBackgroundBug:((document.documentMode||0)<9),msieFixedPositionBug:(v||!w),msieAboutBug:v,msieHeightBug:((document.documentMode||0)<9)});if(m){delete s.styles["#MathJax_About"].filter;delete s.styles[".MathJax_Menu"].filter}},Firefox:function(u){g.skipMouseover=u.isMobile&&u.versionAtLeast("6.0");g.skipMousedown=u.isMobile}});g.isMobile=f.Browser.isMobile;g.noContextMenu=f.Browser.noContextMenu;g.CreateLocaleMenu=function(){if(!g.menu){return}var z=g.menu.Find("Language").submenu,w=z.items;var v=[],B=MathJax.Localization.strings;for(var A in B){if(B.hasOwnProperty(A)){v.push(A)}}v=v.sort();z.items=[];for(var x=0,u=v.length;x<u;x++){var y=B[v[x]].menuTitle;if(y){y+=" ("+v[x]+")"}else{y=v[x]}z.items.push(c.RADIO([v[x],y],"locale",{action:g.Locale}))}z.items.push(w[w.length-2],w[w.length-1])};g.CreateAnnotationMenu=function(){if(!g.menu){return}var w=g.menu.Find("Show Math As","Annotation").submenu;var v=s.semanticsAnnotations;for(var u in v){if(v.hasOwnProperty(u)){w.items.push(c.COMMAND([u,u],g.ShowSource,{hidden:true,nativeTouch:true,format:u}))}}};f.Register.StartupHook("End Config",function(){s.settings=f.config.menuSettings;if(typeof(s.settings.showRenderer)!=="undefined"){s.showRenderer=s.settings.showRenderer}if(typeof(s.settings.showFontMenu)!=="undefined"){s.showFontMenu=s.settings.showFontMenu}if(typeof(s.settings.showContext)!=="undefined"){s.showContext=s.settings.showContext}g.getCookie();g.menu=g(c.SUBMENU(["Show","Show Math As"],c.COMMAND(["MathMLcode","MathML Code"],g.ShowSource,{nativeTouch:true,format:"MathML"}),c.COMMAND(["Original","Original Form"],g.ShowSource,{nativeTouch:true}),c.SUBMENU(["Annotation","Annotation"],{disabled:true}),c.RULE(),c.CHECKBOX(["texHints","Show TeX hints in MathML"],"texHints"),c.CHECKBOX(["semantics","Add original form as annotation"],"semantics")),c.RULE(),c.SUBMENU(["Settings","Math Settings"],c.SUBMENU(["ZoomTrigger","Zoom Trigger"],c.RADIO(["Hover","Hover"],"zoom",{action:g.Zoom}),c.RADIO(["Click","Click"],"zoom",{action:g.Zoom}),c.RADIO(["DoubleClick","Double-Click"],"zoom",{action:g.Zoom}),c.RADIO(["NoZoom","No Zoom"],"zoom",{value:"None"}),c.RULE(),c.LABEL(["TriggerRequires","Trigger Requires:"]),c.CHECKBOX((f.Browser.isMac?["Option","Option"]:["Alt","Alt"]),"ALT"),c.CHECKBOX(["Command","Command"],"CMD",{hidden:!f.Browser.isMac}),c.CHECKBOX(["Control","Control"],"CTRL",{hidden:f.Browser.isMac}),c.CHECKBOX(["Shift","Shift"],"Shift")),c.SUBMENU(["ZoomFactor","Zoom Factor"],c.RADIO("125%","zscale"),c.RADIO("133%","zscale"),c.RADIO("150%","zscale"),c.RADIO("175%","zscale"),c.RADIO("200%","zscale"),c.RADIO("250%","zscale"),c.RADIO("300%","zscale"),c.RADIO("400%","zscale")),c.RULE(),c.SUBMENU(["Renderer","Math Renderer"],{hidden:!s.showRenderer},c.RADIO(["HTML-CSS","HTML-CSS"],"renderer",{action:g.Renderer}),c.RADIO(["CommonHTML","Common HTML"],"renderer",{action:g.Renderer,value:"CommonHTML"}),c.RADIO(["PreviewHTML","Preview HTML"],"renderer",{action:g.Renderer,value:"PreviewHTML"}),c.RADIO(["MathML","MathML"],"renderer",{action:g.Renderer,value:"NativeMML"}),c.RADIO(["SVG","SVG"],"renderer",{action:g.Renderer}),c.RADIO(["PlainSource","Plain Source"],"renderer",{action:g.Renderer,value:"PlainSource"}),c.RULE(),c.CHECKBOX(["FastPreview","Fast Preview"],"FastPreview")),c.SUBMENU("MathPlayer",{hidden:!f.Browser.isMSIE||!s.showMathPlayer,disabled:!f.Browser.hasMathPlayer},c.LABEL(["MPHandles","Let MathPlayer Handle:"]),c.CHECKBOX(["MenuEvents","Menu Events"],"mpContext",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MouseEvents","Mouse Events"],"mpMouse",{action:g.MPEvents,hidden:!m}),c.CHECKBOX(["MenuAndMouse","Mouse and Menu Events"],"mpMouse",{action:g.MPEvents,hidden:m})),c.SUBMENU(["FontPrefs","Font Preference"],{hidden:!s.showFontMenu},c.LABEL(["ForHTMLCSS","For HTML-CSS:"]),c.RADIO(["Auto","Auto"],"font",{action:g.Font}),c.RULE(),c.RADIO(["TeXLocal","TeX (local)"],"font",{action:g.Font}),c.RADIO(["TeXWeb","TeX (web)"],"font",{action:g.Font}),c.RADIO(["TeXImage","TeX (image)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["STIXLocal","STIX (local)"],"font",{action:g.Font}),c.RADIO(["STIXWeb","STIX (web)"],"font",{action:g.Font}),c.RULE(),c.RADIO(["AsanaMathWeb","Asana Math (web)"],"font",{action:g.Font}),c.RADIO(["GyrePagellaWeb","Gyre Pagella (web)"],"font",{action:g.Font}),c.RADIO(["GyreTermesWeb","Gyre Termes (web)"],"font",{action:g.Font}),c.RADIO(["LatinModernWeb","Latin Modern (web)"],"font",{action:g.Font}),c.RADIO(["NeoEulerWeb","Neo Euler (web)"],"font",{action:g.Font})),c.SUBMENU(["ContextMenu","Contextual Menu"],{hidden:!s.showContext},c.RADIO(["MathJax","MathJax"],"context"),c.RADIO(["Browser","Browser"],"context")),c.COMMAND(["Scale","Scale All Math ..."],g.Scale),c.RULE().With({hidden:!s.showDiscoverable,name:["","discover_rule"]}),c.CHECKBOX(["Discoverable","Highlight on Hover"],"discoverable",{hidden:!s.showDiscoverable})),c.SUBMENU(["Accessibility","Accessibility"],c.CHECKBOX(["AssistiveMML","Assistive MathML"],"assistiveMML",{action:g.AssistiveMML}),c.CHECKBOX(["InTabOrder","Include in Tab Order"],"inTabOrder")),c.SUBMENU(["Locale","Language"],{hidden:!s.showLocale,ltr:true},c.RADIO("en","locale",{action:g.Locale}),c.RULE().With({hidden:!s.showLocaleURL,name:["","localURL_rule"]}),c.COMMAND(["LoadLocale","Load from URL ..."],g.LoadLocale,{hidden:!s.showLocaleURL})),c.RULE(),c.COMMAND(["About","About MathJax"],g.About),c.COMMAND(["Help","MathJax Help"],g.Help));if(g.isMobile){(function(){var v=s.settings;var u=g.menu.Find("Math Settings","Zoom Trigger").submenu;u.items[0].disabled=u.items[1].disabled=true;if(v.zoom==="Hover"||v.zoom=="Click"){v.zoom="None"}u.items=u.items.slice(0,4);if(navigator.appVersion.match(/[ (]Android[) ]/)){g.ITEM.SUBMENU.Augment({marker:"\u00BB"})}})()}g.CreateLocaleMenu();g.CreateAnnotationMenu()});g.showRenderer=function(u){g.cookie.showRenderer=s.showRenderer=u;g.saveCookie();g.menu.Find("Math Settings","Math Renderer").hidden=!u};g.showMathPlayer=function(u){g.cookie.showMathPlayer=s.showMathPlayer=u;g.saveCookie();g.menu.Find("Math Settings","MathPlayer").hidden=!u};g.showFontMenu=function(u){g.cookie.showFontMenu=s.showFontMenu=u;g.saveCookie();g.menu.Find("Math Settings","Font Preference").hidden=!u};g.showContext=function(u){g.cookie.showContext=s.showContext=u;g.saveCookie();g.menu.Find("Math Settings","Contextual Menu").hidden=!u};g.showDiscoverable=function(u){g.cookie.showDiscoverable=s.showDiscoverable=u;g.saveCookie();g.menu.Find("Math Settings","Highlight on Hover").hidden=!u;g.menu.Find("Math Settings","discover_rule").hidden=!u};g.showLocale=function(u){g.cookie.showLocale=s.showLocale=u;g.saveCookie();g.menu.Find("Language").hidden=!u};MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){if(!MathJax.OutputJax["HTML-CSS"].config.imageFont){g.menu.Find("Math Settings","Font Preference","TeX (image)").disabled=true}});e.Queue(f.Register.StartupHook("End Config",{}),["Styles",q,s.styles],["Post",f.Startup.signal,"MathMenu Ready"],["loadComplete",q,"[MathJax]/extensions/MathMenu.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.CallBack,MathJax.OutputJax);
diff --git a/extensions/MathZoom.js b/extensions/MathZoom.js
index c4ae881555..e6cd99fa5d 100644
--- a/extensions/MathZoom.js
+++ b/extensions/MathZoom.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/MathZoom.js
+ *  /MathJax-v2/extensions/MathZoom.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(a,d,f,c,j){var k="2.7.6";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
+(function(a,d,f,c,j){var k="2.7.9";var i=a.CombineConfig("MathZoom",{styles:{"#MathJax_Zoom":{position:"absolute","background-color":"#F0F0F0",overflow:"auto",display:"block","z-index":301,padding:".5em",border:"1px solid black",margin:0,"font-weight":"normal","font-style":"normal","text-align":"left","text-indent":0,"text-transform":"none","line-height":"normal","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none","-webkit-box-sizing":"content-box","-moz-box-sizing":"content-box","box-sizing":"content-box","box-shadow":"5px 5px 15px #AAAAAA","-webkit-box-shadow":"5px 5px 15px #AAAAAA","-moz-box-shadow":"5px 5px 15px #AAAAAA","-khtml-box-shadow":"5px 5px 15px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')"},"#MathJax_ZoomOverlay":{position:"absolute",left:0,top:0,"z-index":300,display:"inline-block",width:"100%",height:"100%",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"},"#MathJax_ZoomFrame":{position:"relative",display:"inline-block",height:0,width:0},"#MathJax_ZoomEventTrap":{position:"absolute",left:0,top:0,"z-index":302,display:"inline-block",border:0,padding:0,margin:0,"background-color":"white",opacity:0,filter:"alpha(opacity=0)"}}});var e,b,g;MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){g=MathJax.Extension.MathEvents.Event;e=MathJax.Extension.MathEvents.Event.False;b=MathJax.Extension.MathEvents.Hover});var h=MathJax.Extension.MathZoom={version:k,settings:a.config.menuSettings,scrollSize:18,HandleEvent:function(n,l,m){if(h.settings.CTRL&&!n.ctrlKey){return true}if(h.settings.ALT&&!n.altKey){return true}if(h.settings.CMD&&!n.metaKey){return true}if(h.settings.Shift&&!n.shiftKey){return true}if(!h[l]){return true}return h[l](n,m)},Click:function(m,l){if(this.settings.zoom==="Click"){return this.Zoom(m,l)}},DblClick:function(m,l){if(this.settings.zoom==="Double-Click"||this.settings.zoom==="DoubleClick"){return this.Zoom(m,l)}},Hover:function(m,l){if(this.settings.zoom==="Hover"){this.Zoom(m,l);return true}return false},Zoom:function(o,u){this.Remove();b.ClearHoverTimer();g.ClearSelection();var s=MathJax.OutputJax[u.jaxID];var p=s.getJaxFromMath(u);if(p.hover){b.UnHover(p)}var q=this.findContainer(u);var l=Math.floor(0.85*q.clientWidth),t=Math.max(document.body.clientHeight,document.documentElement.clientHeight);if(this.getOverflow(q)!=="visible"){t=Math.min(q.clientHeight,t)}t=Math.floor(0.85*t);var n=d.Element("span",{id:"MathJax_ZoomFrame"},[["span",{id:"MathJax_ZoomOverlay",onmousedown:this.Remove}],["span",{id:"MathJax_Zoom",onclick:this.Remove,style:{visibility:"hidden",fontSize:this.settings.zscale}},[["span",{style:{display:"inline-block","white-space":"nowrap"}}]]]]);var z=n.lastChild,w=z.firstChild,r=n.firstChild;u.parentNode.insertBefore(n,u);u.parentNode.insertBefore(u,n);if(w.addEventListener){w.addEventListener("mousedown",this.Remove,true)}var m=z.offsetWidth||z.clientWidth;l-=m;t-=m;z.style.maxWidth=l+"px";z.style.maxHeight=t+"px";if(this.msieTrapEventBug){var y=d.Element("span",{id:"MathJax_ZoomEventTrap",onmousedown:this.Remove});n.insertBefore(y,z)}if(this.msieZIndexBug){var v=d.addElement(document.body,"img",{src:"about:blank",id:"MathJax_ZoomTracker",width:0,height:0,style:{width:0,height:0,position:"relative"}});n.style.position="relative";n.style.zIndex=i.styles["#MathJax_ZoomOverlay"]["z-index"];n=v}var x=s.Zoom(p,w,u,l,t);if(this.msiePositionBug){if(this.msieSizeBug){z.style.height=x.zH+"px";z.style.width=x.zW+"px"}if(z.offsetHeight>t){z.style.height=t+"px";z.style.width=(x.zW+this.scrollSize)+"px"}if(z.offsetWidth>l){z.style.width=l+"px";z.style.height=(x.zH+this.scrollSize)+"px"}}if(this.operaPositionBug){z.style.width=Math.min(l,x.zW)+"px"}if(z.offsetWidth>m&&z.offsetWidth-m<l&&z.offsetHeight-m<t){z.style.overflow="visible"}this.Position(z,x);if(this.msieTrapEventBug){y.style.height=z.clientHeight+"px";y.style.width=z.clientWidth+"px";y.style.left=(parseFloat(z.style.left)+z.clientLeft)+"px";y.style.top=(parseFloat(z.style.top)+z.clientTop)+"px"}z.style.visibility="";if(this.settings.zoom==="Hover"){r.onmouseover=this.Remove}if(window.addEventListener){addEventListener("resize",this.Resize,false)}else{if(window.attachEvent){attachEvent("onresize",this.Resize)}else{this.onresize=window.onresize;window.onresize=this.Resize}}a.signal.Post(["math zoomed",p]);return e(o)},Position:function(p,r){p.style.display="none";var q=this.Resize(),m=q.x,s=q.y,l=r.mW;p.style.display="";var o=-l-Math.floor((p.offsetWidth-l)/2),n=r.Y;p.style.left=Math.max(o,10-m)+"px";p.style.top=Math.max(n,10-s)+"px";if(!h.msiePositionBug){h.SetWH()}},Resize:function(m){if(h.onresize){h.onresize(m)}var q=document.getElementById("MathJax_ZoomFrame"),l=document.getElementById("MathJax_ZoomOverlay");var o=h.getXY(q),n=h.findContainer(q);if(h.getOverflow(n)!=="visible"){l.scroll_parent=n;var p=h.getXY(n);o.x-=p.x;o.y-=p.y;p=h.getBorder(n);o.x-=p.x;o.y-=p.y}l.style.left=(-o.x)+"px";l.style.top=(-o.y)+"px";if(h.msiePositionBug){setTimeout(h.SetWH,0)}else{h.SetWH()}return o},SetWH:function(){var l=document.getElementById("MathJax_ZoomOverlay");if(!l){return}l.style.display="none";var m=l.scroll_parent||document.documentElement||document.body;l.style.width=m.scrollWidth+"px";l.style.height=Math.max(m.clientHeight,m.scrollHeight)+"px";l.style.display=""},findContainer:function(l){l=l.parentNode;while(l.parentNode&&l!==document.body&&h.getOverflow(l)==="visible"){l=l.parentNode}return l},getOverflow:(window.getComputedStyle?function(l){return getComputedStyle(l).overflow}:function(l){return(l.currentStyle||{overflow:"visible"}).overflow}),getBorder:function(o){var m={thin:1,medium:2,thick:3};var n=(window.getComputedStyle?getComputedStyle(o):(o.currentStyle||{borderLeftWidth:0,borderTopWidth:0}));var l=n.borderLeftWidth,p=n.borderTopWidth;if(m[l]){l=m[l]}else{l=parseInt(l)}if(m[p]){p=m[p]}else{p=parseInt(p)}return{x:l,y:p}},getXY:function(o){var l=0,n=0,m;m=o;while(m.offsetParent){l+=m.offsetLeft;m=m.offsetParent}if(h.operaPositionBug){o.style.border="1px solid"}m=o;while(m.offsetParent){n+=m.offsetTop;m=m.offsetParent}if(h.operaPositionBug){o.style.border=""}return{x:l,y:n}},Remove:function(n){var p=document.getElementById("MathJax_ZoomFrame");if(p){var o=MathJax.OutputJax[p.previousSibling.jaxID];var l=o.getJaxFromMath(p.previousSibling);a.signal.Post(["math unzoomed",l]);p.parentNode.removeChild(p);p=document.getElementById("MathJax_ZoomTracker");if(p){p.parentNode.removeChild(p)}if(h.operaRefreshBug){var m=d.addElement(document.body,"div",{style:{position:"fixed",left:0,top:0,width:"100%",height:"100%",backgroundColor:"white",opacity:0},id:"MathJax_OperaDiv"});document.body.removeChild(m)}if(window.removeEventListener){removeEventListener("resize",h.Resize,false)}else{if(window.detachEvent){detachEvent("onresize",h.Resize)}else{window.onresize=h.onresize;delete h.onresize}}}return e(n)}};a.Browser.Select({MSIE:function(l){var n=(document.documentMode||0);var m=(n>=9);h.msiePositionBug=!m;h.msieSizeBug=l.versionAtLeast("7.0")&&(!document.documentMode||n===7||n===8);h.msieZIndexBug=(n<=7);h.msieInlineBlockAlignBug=(n<=7);h.msieTrapEventBug=!window.addEventListener;if(document.compatMode==="BackCompat"){h.scrollSize=52}if(m){delete i.styles["#MathJax_Zoom"].filter}},Opera:function(l){h.operaPositionBug=true;h.operaRefreshBug=true}});h.topImg=(h.msieInlineBlockAlignBug?d.Element("img",{style:{width:0,height:0,position:"relative"},src:"about:blank"}):d.Element("span",{style:{width:0,height:0,display:"inline-block"}}));if(h.operaPositionBug||h.msieTopBug){h.topImg.style.border="1px solid"}MathJax.Callback.Queue(["StartupHook",MathJax.Hub.Register,"Begin Styles",{}],["Styles",f,i.styles],["Post",a.Startup.signal,"MathZoom Ready"],["loadComplete",f,"[MathJax]/extensions/MathZoom.js"])})(MathJax.Hub,MathJax.HTML,MathJax.Ajax,MathJax.OutputJax["HTML-CSS"],MathJax.OutputJax.NativeMML);
diff --git a/extensions/Safe.js b/extensions/Safe.js
index f2777920f5..eaa345795f 100644
--- a/extensions/Safe.js
+++ b/extensions/Safe.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/Safe.js
+ *  /MathJax-v2/extensions/Safe.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(d,c){var f="2.7.6";var a=MathJax.Hub.CombineConfig("Safe",{allow:{URLs:"safe",classes:"safe",cssIDs:"safe",styles:"safe",fontsize:"all",require:"safe"},sizeMin:0.7,sizeMax:1.44,lengthMax:3,safeProtocols:{http:true,https:true,file:true,javascript:false},safeStyles:{color:true,backgroundColor:true,border:true,cursor:true,margin:true,padding:true,textShadow:true,fontFamily:true,fontSize:true,fontStyle:true,fontWeight:true,opacity:true,outline:true},safeRequire:{action:true,amscd:true,amsmath:true,amssymbols:true,autobold:false,"autoload-all":false,bbox:true,begingroup:true,boldsymbol:true,cancel:true,color:true,enclose:true,extpfeil:true,HTML:true,mathchoice:true,mhchem:true,newcommand:true,noErrors:false,noUndefined:false,unicode:true,verb:true},styleParts:{border:true,padding:true,margin:true,outline:true},styleLengths:{borderTop:"borderTopWidth",borderRight:"borderRightWidth",borderBottom:"borderBottomWidth",borderLeft:"borderLeftWidth",paddingTop:true,paddingRight:true,paddingBottom:true,paddingLeft:true,marginTop:true,marginRight:true,marginBottom:true,marginLeft:true,outlineTop:true,outlineRight:true,outlineBottom:true,outlineLeft:true,fontSize:[0.7,1.44]}});var e=a.allow;if(e.fontsize!=="all"){a.safeStyles.fontSize=false}var b=MathJax.Extension.Safe={version:f,config:a,div1:document.createElement("div"),div2:document.createElement("div"),filter:{href:"filterURL",src:"filterURL",altimg:"filterURL","class":"filterClass",style:"filterStyles",id:"filterID",fontsize:"filterFontSize",mathsize:"filterFontSize",scriptminsize:"filterFontSize",scriptsizemultiplier:"filterSizeMultiplier",scriptlevel:"filterScriptLevel"},filterURL:function(g){var h=(g.match(/^\s*([a-z]+):/i)||[null,""])[1].toLowerCase();if(e.URLs==="none"||(e.URLs!=="all"&&!a.safeProtocols[h])){g=null}return g},filterClass:function(g){if(e.classes==="none"||(e.classes!=="all"&&!g.match(/^MJX-[-a-zA-Z0-9_.]+$/))){g=null}return g},filterID:function(g){if(e.cssIDs==="none"||(e.cssIDs!=="all"&&!g.match(/^MJX-[-a-zA-Z0-9_.]+$/))){g=null}return g},filterStyles:function(l){if(e.styles==="all"){return l}if(e.styles==="none"){return null}try{var k=this.div1.style,j=this.div2.style,m;k.cssText=l;j.cssText="";for(var g in a.safeStyles){if(a.safeStyles.hasOwnProperty(g)){if(a.styleParts[g]){for(var h=0;h<4;h++){var o=g+["Top","Right","Bottom","Left"][h];m=this.filterStyle(o,k);if(m){j[o]=m}}}else{m=this.filterStyle(g,k);if(m){j[g]=m}}}}l=j.cssText}catch(n){l=null}return l},filterStyle:function(g,h){var i=h[g];if(typeof i!=="string"||i===""){return null}if(i.match(/^\s*expression/)){return null}if(i.match(/javascript:/)){return null}var j=g.replace(/Top|Right|Left|Bottom/,"");if(!a.safeStyles[g]&&!a.safeStyles[j]){return null}if(!a.styleLengths[g]){return i}return(this.filterStyleLength(g,i,h)?i:null)},filterStyleLength:function(g,i,h){if(typeof a.styleLengths[g]==="string"){i=h[a.styleLengths[g]]}i=this.length2em(i);if(i==null){return false}var j=[-a.lengthMax,a.lengthMax];if(MathJax.Object.isArray(a.styleLengths[g])){j=a.styleLengths[g]}return(i>=j[0]&&i<=j[1])},unit2em:{em:1,ex:0.5,ch:0.5,rem:1,px:1/16,mm:96/25.4/16,cm:96/2.54/16,"in":96/16,pt:96/72/16,pc:96/6/16},length2em:function(h){var g=h.match(/(.+)(em|ex|ch|rem|px|mm|cm|in|pt|pc)/);if(!g){return null}return parseFloat(g[1])*this.unit2em[g[2]]},filterSize:function(g){if(e.fontsize==="none"){return null}if(e.fontsize!=="all"){g=Math.min(Math.max(g,a.sizeMin),a.sizeMax)}return g},filterFontSize:function(g){return(e.fontsize==="all"?g:null)},filterSizeMultiplier:function(g){if(e.fontsize==="none"){g=null}else{if(e.fontsize!=="all"){g=Math.min(1,Math.max(0.6,g)).toString()}}return g},filterScriptLevel:function(g){if(e.fontsize==="none"){g=null}else{if(e.fontsize!=="all"){g=Math.max(0,g).toString()}}return g},filterRequire:function(g){if(e.require==="none"||(e.require!=="all"&&!a.safeRequire[g.toLowerCase()])){g=null}return g}};d.Register.StartupHook("TeX HTML Ready",function(){var g=MathJax.InputJax.TeX;g.Parse.Augment({HREF_attribute:function(j){var i=b.filterURL(this.GetArgument(j)),h=this.GetArgumentMML(j);if(i){h.With({href:i})}this.Push(h)},CLASS_attribute:function(i){var j=b.filterClass(this.GetArgument(i)),h=this.GetArgumentMML(i);if(j){if(h["class"]!=null){j=h["class"]+" "+j}h.With({"class":j})}this.Push(h)},STYLE_attribute:function(i){var j=b.filterStyles(this.GetArgument(i)),h=this.GetArgumentMML(i);if(j){if(h.style!=null){if(j.charAt(j.length-1)!==";"){j+=";"}j=h.style+" "+j}h.With({style:j})}this.Push(h)},ID_attribute:function(j){var i=b.filterID(this.GetArgument(j)),h=this.GetArgumentMML(j);if(i){h.With({id:i})}this.Push(h)}})});d.Register.StartupHook("TeX Jax Ready",function(){var i=MathJax.InputJax.TeX,h=i.Parse,g=b.filter;h.Augment({Require:function(j){var k=this.GetArgument(j).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");k=b.filterRequire(k);if(k){this.Extension(null,k)}},MmlFilterAttribute:function(j,k){if(g[j]){k=b[g[j]](k)}return k},SetSize:function(j,k){k=b.filterSize(k);if(k){this.stack.env.size=k;this.Push(i.Stack.Item.style().With({styles:{mathsize:k+"em"}}))}}})});d.Register.StartupHook("TeX bbox Ready",function(){var g=MathJax.InputJax.TeX;g.Parse.Augment({BBoxStyle:function(h){return b.filterStyles(h)},BBoxPadding:function(i){var h=b.filterStyles("padding: "+i);return(h?i:0)}})});d.Register.StartupHook("MathML Jax Ready",function(){var h=MathJax.InputJax.MathML.Parse,g=b.filter;h.Augment({filterAttribute:function(i,j){if(g[i]){j=b[g[i]](j)}return j}})});d.Startup.signal.Post("Safe Extension Ready");c.loadComplete("[MathJax]/extensions/Safe.js")})(MathJax.Hub,MathJax.Ajax);
+(function(d,c){var f="2.7.9";var a=MathJax.Hub.CombineConfig("Safe",{allow:{URLs:"safe",classes:"safe",cssIDs:"safe",styles:"safe",fontsize:"all",require:"safe"},sizeMin:0.7,sizeMax:1.44,lengthMax:3,safeProtocols:{http:true,https:true,file:true,javascript:false},safeStyles:{color:true,backgroundColor:true,border:true,cursor:true,margin:true,padding:true,textShadow:true,fontFamily:true,fontSize:true,fontStyle:true,fontWeight:true,opacity:true,outline:true},safeRequire:{action:true,amscd:true,amsmath:true,amssymbols:true,autobold:false,"autoload-all":false,bbox:true,begingroup:true,boldsymbol:true,cancel:true,color:true,enclose:true,extpfeil:true,HTML:true,mathchoice:true,mhchem:true,newcommand:true,noErrors:false,noUndefined:false,unicode:true,verb:true},styleParts:{border:true,padding:true,margin:true,outline:true},styleLengths:{borderTop:"borderTopWidth",borderRight:"borderRightWidth",borderBottom:"borderBottomWidth",borderLeft:"borderLeftWidth",paddingTop:true,paddingRight:true,paddingBottom:true,paddingLeft:true,marginTop:true,marginRight:true,marginBottom:true,marginLeft:true,outlineTop:true,outlineRight:true,outlineBottom:true,outlineLeft:true,fontSize:[0.7,1.44]}});var e=a.allow;if(e.fontsize!=="all"){a.safeStyles.fontSize=false}var b=MathJax.Extension.Safe={version:f,config:a,div1:document.createElement("div"),div2:document.createElement("div"),filter:{href:"filterURL",src:"filterURL",altimg:"filterURL","class":"filterClass",style:"filterStyles",id:"filterID",fontsize:"filterFontSize",mathsize:"filterFontSize",scriptminsize:"filterFontSize",scriptsizemultiplier:"filterSizeMultiplier",scriptlevel:"filterScriptLevel"},filterURL:function(g){var h=(g.match(/^\s*([a-z]+):/i)||[null,""])[1].toLowerCase();if(e.URLs==="none"||(e.URLs!=="all"&&!a.safeProtocols[h])){g=null}return g},filterClass:function(g){if(e.classes==="none"||(e.classes!=="all"&&!g.match(/^MJX-[-a-zA-Z0-9_.]+$/))){g=null}return g},filterID:function(g){if(e.cssIDs==="none"||(e.cssIDs!=="all"&&!g.match(/^MJX-[-a-zA-Z0-9_.]+$/))){g=null}return g},filterStyles:function(l){if(e.styles==="all"){return l}if(e.styles==="none"){return null}try{var k=this.div1.style,j=this.div2.style,m;k.cssText=l;j.cssText="";for(var g in a.safeStyles){if(a.safeStyles.hasOwnProperty(g)){if(a.styleParts[g]){for(var h=0;h<4;h++){var o=g+["Top","Right","Bottom","Left"][h];m=this.filterStyle(o,k);if(m){j[o]=m}}}else{m=this.filterStyle(g,k);if(m){j[g]=m}}}}l=j.cssText}catch(n){l=null}return l},filterStyle:function(g,h){var i=h[g];if(typeof i!=="string"||i===""){return null}if(i.match(/^\s*expression/)){return null}if(i.match(/javascript:/)){return null}var j=g.replace(/Top|Right|Left|Bottom/,"");if(!a.safeStyles[g]&&!a.safeStyles[j]){return null}if(!a.styleLengths[g]){return i}return(this.filterStyleLength(g,i,h)?i:null)},filterStyleLength:function(g,i,h){if(typeof a.styleLengths[g]==="string"){i=h[a.styleLengths[g]]}i=this.length2em(i);if(i==null){return false}var j=[-a.lengthMax,a.lengthMax];if(MathJax.Object.isArray(a.styleLengths[g])){j=a.styleLengths[g]}return(i>=j[0]&&i<=j[1])},unit2em:{em:1,ex:0.5,ch:0.5,rem:1,px:1/16,mm:96/25.4/16,cm:96/2.54/16,"in":96/16,pt:96/72/16,pc:96/6/16},length2em:function(h){var g=h.match(/(.+)(em|ex|ch|rem|px|mm|cm|in|pt|pc)/);if(!g){return null}return parseFloat(g[1])*this.unit2em[g[2]]},filterSize:function(g){if(e.fontsize==="none"){return null}if(e.fontsize!=="all"){g=Math.min(Math.max(g,a.sizeMin),a.sizeMax)}return g},filterFontSize:function(g){return(e.fontsize==="all"?g:null)},filterSizeMultiplier:function(g){if(e.fontsize==="none"){g=null}else{if(e.fontsize!=="all"){g=Math.min(1,Math.max(0.6,g)).toString()}}return g},filterScriptLevel:function(g){if(e.fontsize==="none"){g=null}else{if(e.fontsize!=="all"){g=Math.max(0,g).toString()}}return g},filterRequire:function(g){if(e.require==="none"||(e.require!=="all"&&!a.safeRequire[g.toLowerCase()])){g=null}return g}};d.Register.StartupHook("TeX HTML Ready",function(){var g=MathJax.InputJax.TeX;g.Parse.Augment({HREF_attribute:function(j){var i=b.filterURL(this.GetArgument(j)),h=this.GetArgumentMML(j);if(i){h.With({href:i})}this.Push(h)},CLASS_attribute:function(i){var j=b.filterClass(this.GetArgument(i)),h=this.GetArgumentMML(i);if(j){if(h["class"]!=null){j=h["class"]+" "+j}h.With({"class":j})}this.Push(h)},STYLE_attribute:function(i){var j=b.filterStyles(this.GetArgument(i)),h=this.GetArgumentMML(i);if(j){if(h.style!=null){if(j.charAt(j.length-1)!==";"){j+=";"}j=h.style+" "+j}h.With({style:j})}this.Push(h)},ID_attribute:function(j){var i=b.filterID(this.GetArgument(j)),h=this.GetArgumentMML(j);if(i){h.With({id:i})}this.Push(h)}})});d.Register.StartupHook("TeX Jax Ready",function(){var i=MathJax.InputJax.TeX,h=i.Parse,g=b.filter;h.Augment({Require:function(j){var k=this.GetArgument(j).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");k=b.filterRequire(k);if(k){this.Extension(null,k)}},MmlFilterAttribute:function(j,k){if(g[j]){k=b[g[j]](k)}return k},SetSize:function(j,k){k=b.filterSize(k);if(k){this.stack.env.size=k;this.Push(i.Stack.Item.style().With({styles:{mathsize:k+"em"}}))}}})});d.Register.StartupHook("TeX bbox Ready",function(){var g=MathJax.InputJax.TeX;g.Parse.Augment({BBoxStyle:function(h){return b.filterStyles(h)},BBoxPadding:function(i){var h=b.filterStyles("padding: "+i);return(h?i:0)}})});d.Register.StartupHook("MathML Jax Ready",function(){var h=MathJax.InputJax.MathML.Parse,g=b.filter;h.Augment({filterAttribute:function(i,j){if(g[i]){j=b[g[i]](j)}return j}})});d.Startup.signal.Post("Safe Extension Ready");c.loadComplete("[MathJax]/extensions/Safe.js")})(MathJax.Hub,MathJax.Ajax);
diff --git a/extensions/TeX/AMScd.js b/extensions/TeX/AMScd.js
index 165f53af71..30a0fd02d6 100644
--- a/extensions/TeX/AMScd.js
+++ b/extensions/TeX/AMScd.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/AMScd.js
+ *  /MathJax-v2/extensions/TeX/AMScd.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/AMScd"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.CD",{colspace:"5pt",rowspace:"5pt",harrowsize:"2.75em",varrowsize:"1.75em",hideHorizontalLabels:false})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,e=MathJax.InputJax.TeX,d=e.Stack.Item,c=e.Definitions,a=MathJax.Extension["TeX/AMScd"].config;c.environment.CD="CD_env";c.special["@"]="CD_arrow";c.macros.minCDarrowwidth="CD_minwidth";c.macros.minCDarrowheight="CD_minheight";e.Parse.Augment({CD_env:function(f){this.Push(f);return d.array().With({arraydef:{columnalign:"center",columnspacing:a.colspace,rowspacing:a.rowspace,displaystyle:true},minw:this.stack.env.CD_minw||a.harrowsize,minh:this.stack.env.CD_minh||a.varrowsize})},CD_arrow:function(g){var l=this.string.charAt(this.i);if(!l.match(/[><VA.|=]/)){return this.Other(g)}else{this.i++}var o=this.stack.Top();if(!o.isa(d.array)||o.data.length){this.CD_cell(g);o=this.stack.Top()}var q=((o.table.length%2)===1);var i=(o.row.length+(q?0:1))%2;while(i){this.CD_cell(g);i--}var h;var f={minsize:o.minw,stretchy:true},k={minsize:o.minh,stretchy:true,symmetric:true,lspace:0,rspace:0};if(l==="."){}else{if(l==="|"){h=this.mmlToken(b.mo("\u2225").With(k))}else{if(l==="="){h=this.mmlToken(b.mo("=").With(f))}else{var r={">":"\u2192","<":"\u2190",V:"\u2193",A:"\u2191"}[l];var p=this.GetUpTo(g+l,l),m=this.GetUpTo(g+l,l);if(l===">"||l==="<"){h=b.mo(r).With(f);if(!p){p="\\kern "+o.minw}if(p||m){var j={width:"+11mu",lspace:"6mu"};h=b.munderover(this.mmlToken(h));if(p){p=e.Parse(p,this.stack.env).mml();h.SetData(h.over,b.mpadded(p).With(j).With({voffset:".1em"}))}if(m){m=e.Parse(m,this.stack.env).mml();h.SetData(h.under,b.mpadded(m).With(j))}if(a.hideHorizontalLabels){h=b.mpadded(h).With({depth:0,height:".67em"})}}}else{h=r=this.mmlToken(b.mo(r).With(k));if(p||m){h=b.mrow();if(p){h.Append(e.Parse("\\scriptstyle\\llap{"+p+"}",this.stack.env).mml())}h.Append(r.With({texClass:b.TEXCLASS.ORD}));if(m){h.Append(e.Parse("\\scriptstyle\\rlap{"+m+"}",this.stack.env).mml())}}}}}}if(h){this.Push(h)}this.CD_cell(g)},CD_cell:function(f){var g=this.stack.Top();if((g.table||[]).length%2===0&&(g.row||[]).length===0){this.Push(b.mpadded().With({height:"8.5pt",depth:"2pt"}))}this.Push(d.cell().With({isEntry:true,name:f}))},CD_minwidth:function(f){this.stack.env.CD_minw=this.GetDimen(f)},CD_minheight:function(f){this.stack.env.CD_minh=this.GetDimen(f)}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMScd.js");
+MathJax.Extension["TeX/AMScd"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.CD",{colspace:"5pt",rowspace:"5pt",harrowsize:"2.75em",varrowsize:"1.75em",hideHorizontalLabels:false})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,e=MathJax.InputJax.TeX,d=e.Stack.Item,c=e.Definitions,a=MathJax.Extension["TeX/AMScd"].config;c.environment.CD="CD_env";c.special["@"]="CD_arrow";c.macros.minCDarrowwidth="CD_minwidth";c.macros.minCDarrowheight="CD_minheight";e.Parse.Augment({CD_env:function(f){this.Push(f);return d.array().With({arraydef:{columnalign:"center",columnspacing:a.colspace,rowspacing:a.rowspace,displaystyle:true},minw:this.stack.env.CD_minw||a.harrowsize,minh:this.stack.env.CD_minh||a.varrowsize})},CD_arrow:function(g){var l=this.string.charAt(this.i);if(!l.match(/[><VA.|=]/)){return this.Other(g)}else{this.i++}var o=this.stack.Top();if(!o.isa(d.array)||o.data.length){this.CD_cell(g);o=this.stack.Top()}var q=((o.table.length%2)===1);var i=(o.row.length+(q?0:1))%2;while(i){this.CD_cell(g);i--}var h;var f={minsize:o.minw,stretchy:true},k={minsize:o.minh,stretchy:true,symmetric:true,lspace:0,rspace:0};if(l==="."){}else{if(l==="|"){h=this.mmlToken(b.mo("\u2225").With(k))}else{if(l==="="){h=this.mmlToken(b.mo("=").With(f))}else{var r={">":"\u2192","<":"\u2190",V:"\u2193",A:"\u2191"}[l];var p=this.GetUpTo(g+l,l),m=this.GetUpTo(g+l,l);if(l===">"||l==="<"){h=b.mo(r).With(f);if(!p){p="\\kern "+o.minw}if(p||m){var j={width:"+11mu",lspace:"6mu"};h=b.munderover(this.mmlToken(h));if(p){p=e.Parse(p,this.stack.env).mml();h.SetData(h.over,b.mpadded(p).With(j).With({voffset:".1em"}))}if(m){m=e.Parse(m,this.stack.env).mml();h.SetData(h.under,b.mpadded(m).With(j))}if(a.hideHorizontalLabels){h=b.mpadded(h).With({depth:0,height:".67em"})}}}else{h=r=this.mmlToken(b.mo(r).With(k));if(p||m){h=b.mrow();if(p){h.Append(e.Parse("\\scriptstyle\\llap{"+p+"}",this.stack.env).mml())}h.Append(r.With({texClass:b.TEXCLASS.ORD}));if(m){h.Append(e.Parse("\\scriptstyle\\rlap{"+m+"}",this.stack.env).mml())}}}}}}if(h){this.Push(h)}this.CD_cell(g)},CD_cell:function(f){var g=this.stack.Top();if((g.table||[]).length%2===0&&(g.row||[]).length===0){this.Push(b.mpadded().With({height:"8.5pt",depth:"2pt"}))}this.Push(d.cell().With({isEntry:true,name:f}))},CD_minwidth:function(f){this.stack.env.CD_minw=this.GetDimen(f)},CD_minheight:function(f){this.stack.env.CD_minh=this.GetDimen(f)}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMScd.js");
diff --git a/extensions/TeX/AMSmath.js b/extensions/TeX/AMSmath.js
index 9997fb8b72..ec64ba68ff 100644
--- a/extensions/TeX/AMSmath.js
+++ b/extensions/TeX/AMSmath.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/AMSmath.js
+ *  /MathJax-v2/extensions/TeX/AMSmath.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/AMSmath"]={version:"2.7.6",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}");this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
+MathJax.Extension["TeX/AMSmath"]={version:"2.7.9",number:0,startNumber:0,IDs:{},eqIDs:{},labels:{},eqlabels:{},refs:[]};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.ElementJax.mml,h=MathJax.InputJax.TeX,g=MathJax.Extension["TeX/AMSmath"];var d=h.Definitions,f=h.Stack.Item,a=h.config.equationNumbers;var c=function(k){var n=[];for(var l=0,j=k.length;l<j;l++){n[l]=h.Parse.prototype.Em(k[l])}return n.join(" ")};var e=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");d.Add({mathchar0mo:{iiiint:["2A0C",{texClass:b.TEXCLASS.OP}]},macros:{mathring:["Accent","2DA"],nobreakspace:"Tilde",negmedspace:["Spacer",b.LENGTH.NEGATIVEMEDIUMMATHSPACE],negthickspace:["Spacer",b.LENGTH.NEGATIVETHICKMATHSPACE],idotsint:["MultiIntegral","\\int\\cdots\\int"],dddot:["Accent","20DB"],ddddot:["Accent","20DC"],sideset:["Macro","\\mathop{\\mathop{\\rlap{\\phantom{#3}}}\\nolimits#1\\!\\mathop{#3}\\nolimits#2}",3],boxed:["Macro","\\fbox{$\\displaystyle{#1}$}",1],tag:"HandleTag",notag:"HandleNoTag",label:"HandleLabel",ref:"HandleRef",eqref:["HandleRef",true],substack:["Macro","\\begin{subarray}{c}#1\\end{subarray}",1],injlim:["NamedOp","inj&thinsp;lim"],projlim:["NamedOp","proj&thinsp;lim"],varliminf:["Macro","\\mathop{\\underline{\\mmlToken{mi}{lim}}}"],varlimsup:["Macro","\\mathop{\\overline{\\mmlToken{mi}{lim}}}"],varinjlim:["Macro","\\mathop{\\underrightarrow{\\mmlToken{mi}{lim}}}"],varprojlim:["Macro","\\mathop{\\underleftarrow{\\mmlToken{mi}{lim}}}"],DeclareMathOperator:"HandleDeclareOp",operatorname:"HandleOperatorName",SkipLimits:"SkipLimits",genfrac:"Genfrac",frac:["Genfrac","","","",""],tfrac:["Genfrac","","","",1],dfrac:["Genfrac","","","",0],binom:["Genfrac","(",")","0",""],tbinom:["Genfrac","(",")","0",1],dbinom:["Genfrac","(",")","0",0],cfrac:"CFrac",shoveleft:["HandleShove",b.ALIGN.LEFT],shoveright:["HandleShove",b.ALIGN.RIGHT],xrightarrow:["xArrow",8594,5,6],xleftarrow:["xArrow",8592,7,3]},environment:{align:["AMSarray",null,true,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],"align*":["AMSarray",null,false,true,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0])],multline:["Multline",null,true],"multline*":["Multline",null,false],split:["AMSarray",null,false,false,"rl",c([0])],gather:["AMSarray",null,true,true,"c"],"gather*":["AMSarray",null,false,true,"c"],alignat:["AlignAt",null,true,true],"alignat*":["AlignAt",null,false,true],alignedat:["AlignAt",null,false,false],aligned:["AlignedAMSArray",null,null,null,"rlrlrlrlrlrl",c([0,2,0,2,0,2,0,2,0,2,0]),".5em","D"],gathered:["AlignedAMSArray",null,null,null,"c",null,".5em","D"],subarray:["Array",null,null,null,null,c([0]),"0.1em","S",1],smallmatrix:["Array",null,null,null,"c",c([1/3]),".2em","S",1],equation:["EquationBegin","Equation",true],"equation*":["EquationBegin","EquationStar",false],eqnarray:["AMSarray",null,true,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"],"eqnarray*":["AMSarray",null,false,true,"rcl","0 "+b.LENGTH.THICKMATHSPACE,".5em"]},delimiter:{"\\lvert":["007C",{texClass:b.TEXCLASS.OPEN}],"\\rvert":["007C",{texClass:b.TEXCLASS.CLOSE}],"\\lVert":["2016",{texClass:b.TEXCLASS.OPEN}],"\\rVert":["2016",{texClass:b.TEXCLASS.CLOSE}]}},null,true);h.Parse.Augment({HandleTag:function(k){var m=this.GetStar();var j=this.trimSpaces(this.GetArgument(k)),i=j;if(!m){j=a.formatTag(j)}var l=this.stack.global;l.tagID=i;if(l.notags){h.Error(["CommandNotAllowedInEnv","%1 not allowed in %2 environment",k,l.notags])}if(l.tag){h.Error(["MultipleCommand","Multiple %1",k])}l.tag=b.mtd.apply(b,this.InternalMath(j)).With({id:a.formatID(i)})},HandleNoTag:function(i){if(this.stack.global.tag){delete this.stack.global.tag}this.stack.global.notag=true},HandleLabel:function(j){var k=this.stack.global,i=this.GetArgument(j);if(i===""){return}if(!g.refUpdate){if(k.label){h.Error(["MultipleCommand","Multiple %1",j])}k.label=i;if(g.labels[i]||g.eqlabels[i]){h.Error(["MultipleLabel","Label '%1' multiply defined",i])}g.eqlabels[i]={tag:"???",id:""}}},HandleRef:function(k,m){var j=this.GetArgument(k);var l=g.labels[j]||g.eqlabels[j];if(!l){l={tag:"???",id:""};g.badref=!g.refUpdate}var i=l.tag;if(m){i=a.formatTag(i)}this.Push(b.mrow.apply(b,this.InternalMath(i)).With({href:a.formatURL(l.id,e),"class":"MathJax_ref"}))},HandleDeclareOp:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(k.charAt(0)=="\\"){k=k.substr(1)}var l=this.GetArgument(j);if(!l.match(/\\text/)){l=l.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.setDef(k,["Macro","\\mathop{\\rm "+l+"}"+i])},HandleOperatorName:function(j){var i=(this.GetStar()?"":"\\nolimits\\SkipLimits");var k=this.trimSpaces(this.GetArgument(j));if(!k.match(/\\text/)){k=k.replace(/\*/g,"\\text{*}").replace(/-/g,"\\text{-}")}this.string="\\mathop{\\rm "+k+"}"+i+" "+this.string.slice(this.i);this.i=0},SkipLimits:function(j){var l=this.GetNext(),k=this.i;if(l==="\\"&&++this.i&&this.GetCS()!=="limits"){this.i=k}},HandleShove:function(j,i){var k=this.stack.Top();if(k.type!=="multline"){h.Error(["CommandInMultline","%1 can only appear within the multline environment",j])}if(k.data.length){h.Error(["CommandAtTheBeginingOfLine","%1 must come at the beginning of the line",j])}k.data.shove=i},CFrac:function(l){var i=this.trimSpaces(this.GetBrackets(l,"")),k=this.GetArgument(l),m=this.GetArgument(l);var j=b.mfrac(h.Parse("\\strut\\textstyle{"+k+"}",this.stack.env).mml(),h.Parse("\\strut\\textstyle{"+m+"}",this.stack.env).mml());i=({l:b.ALIGN.LEFT,r:b.ALIGN.RIGHT,"":""})[i];if(i==null){h.Error(["IllegalAlign","Illegal alignment specified in %1",l])}if(i){j.numalign=j.denomalign=i}this.Push(j)},Genfrac:function(j,l,q,n,i){if(l==null){l=this.GetDelimiterArg(j)}if(q==null){q=this.GetDelimiterArg(j)}if(n==null){n=this.GetArgument(j)}if(i==null){i=this.trimSpaces(this.GetArgument(j))}var m=this.ParseArg(j);var p=this.ParseArg(j);var k=b.mfrac(m,p);if(n!==""){k.linethickness=n}if(l||q){k=h.fixedFence(l,k.With({texWithDelims:true}),q)}if(i!==""){var o=(["D","T","S","SS"])[i];if(o==null){h.Error(["BadMathStyleFor","Bad math style for %1",j])}k=b.mstyle(k);if(o==="D"){k.displaystyle=true;k.scriptlevel=0}else{k.displaystyle=false;k.scriptlevel=i-1}}this.Push(k)},Multline:function(j,i){this.Push(j);this.checkEqnEnv();return f.multline(i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",width:h.config.MultLineWidth,columnwidth:"100%",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AMSarray:function(k,j,i,m,l){this.Push(k);if(i){this.checkEqnEnv()}m=m.replace(/[^clr]/g,"").split("").join(" ");m=m.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");return f.AMSarray(k.name,j,i,this.stack).With({arraydef:{displaystyle:true,rowspacing:".5em",columnalign:m,columnspacing:(l||"1em"),rowspacing:"3pt",side:h.config.TagSide,minlabelspacing:h.config.TagIndent}})},AlignedAMSArray:function(i){var j=this.GetBrackets("\\begin{"+i.name+"}");return this.setArrayAlign(this.AMSarray.apply(this,arguments),j)},AlignAt:function(l,j,i){var q,k,p="",o=[];if(!i){k=this.GetBrackets("\\begin{"+l.name+"}")}q=this.GetArgument("\\begin{"+l.name+"}");if(q.match(/[^0-9]/)){h.Error(["PositiveIntegerArg","Argument to %1 must me a positive integer","\\begin{"+l.name+"}"])}while(q>0){p+="rl";o.push("0em 0em");q--}o=o.join(" ");if(i){return this.AMSarray(l,j,i,p,o)}var m=this.AMSarray(l,j,i,p,o);return this.setArrayAlign(m,k)},EquationBegin:function(i,j){this.checkEqnEnv();this.stack.global.forcetag=(j&&a.autoNumber!=="none");return i},EquationStar:function(i,j){this.stack.global.tagged=true;return j},checkEqnEnv:function(){if(this.stack.global.eqnenv){h.Error(["ErroneousNestingEq","Erroneous nesting of equation structures"])}this.stack.global.eqnenv=true},MultiIntegral:function(j,m){var l=this.GetNext();if(l==="\\"){var k=this.i;l=this.GetArgument(j);this.i=k;if(l==="\\limits"){if(j==="\\idotsint"){m="\\!\\!\\mathop{\\,\\,"+m+"}"}else{m="\\!\\!\\!\\mathop{\\,\\,\\,"+m+"}"}}}this.string=m+" "+this.string.slice(this.i);this.i=0},xArrow:function(k,o,n,i){var m={width:"+"+(n+i)+"mu",lspace:n+"mu"};var p=this.GetBrackets(k),q=this.ParseArg(k);var s=b.mo(b.chars(String.fromCharCode(o))).With({stretchy:true,texClass:b.TEXCLASS.REL});var j=b.munderover(s);j.SetData(j.over,b.mpadded(q).With(m).With({voffset:".15em"}));if(p){p=h.Parse(p,this.stack.env).mml();j.SetData(j.under,b.mpadded(p).With(m).With({voffset:"-.24em"}))}this.Push(j.With({subsupOK:true}))},GetDelimiterArg:function(i){var j=this.trimSpaces(this.GetArgument(i));if(j==""){return null}if(j in d.delimiter){return j}h.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",i])},GetStar:function(){var i=(this.GetNext()==="*");if(i){this.i++}return i}});f.Augment({autoTag:function(){var j=this.global;if(!j.notag){g.number++;j.tagID=a.formatNumber(g.number.toString());var i=h.Parse("\\text{"+a.formatTag(j.tagID)+"}",{}).mml();j.tag=b.mtd(i).With({id:a.formatID(j.tagID)})}},getTag:function(){var m=this.global,k=m.tag;m.tagged=true;if(m.label){if(a.useLabelIds){k.id=a.formatID(m.label)}g.eqlabels[m.label]={tag:m.tagID,id:k.id}}if(document.getElementById(k.id)||g.IDs[k.id]||g.eqIDs[k.id]){var l=0,j;do{l++;j=k.id+"_"+l}while(document.getElementById(j)||g.IDs[j]||g.eqIDs[j]);k.id=j;if(m.label){g.eqlabels[m.label].id=j}}g.eqIDs[k.id]=1;this.clearTag();return k},clearTag:function(){var i=this.global;delete i.tag;delete i.tagID;delete i.label},fixInitialMO:function(l){for(var k=0,j=l.length;k<j;k++){if(l[k]&&(l[k].type!=="mspace"&&(l[k].type!=="texatom"||(l[k].data[0]&&l[k].data[0].data.length)))){if(l[k].isEmbellished()||(l[k].type==="texatom"&&l[k].texClass===b.TEXCLASS.REL)){l.unshift(b.mi())}break}}}});f.multline=f.array.Subclass({type:"multline",Init:function(j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(j&&a.autoNumber!=="none");this.save={notag:i.global.notag};i.global.tagged=!j&&!i.global.forcetag},EndEntry:function(){if(this.table.length){this.fixInitialMO(this.data)}var i=b.mtd.apply(b,this.data);if(this.data.shove){i.columnalign=this.data.shove}this.row.push(i);this.data=[]},EndRow:function(){if(this.row.length!=1){h.Error(["MultlineRowsOneCol","The rows within the %1 environment must have exactly one column","multline"])}this.table.push(this.row);this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);if(this.table.length){var k=this.table.length-1,n,l=-1;if(!this.table[0][0].columnalign){this.table[0][0].columnalign=b.ALIGN.LEFT}if(!this.table[k][0].columnalign){this.table[k][0].columnalign=b.ALIGN.RIGHT}if(!this.global.tag&&this.numbered){this.autoTag()}if(this.global.tag&&!this.global.notags){l=(this.arraydef.side==="left"?0:this.table.length-1);this.table[l]=[this.getTag()].concat(this.table[l])}for(n=0,k=this.table.length;n<k;n++){var j=(n===l?b.mlabeledtr:b.mtr);this.table[n]=j.apply(b,this.table[n])}}this.global.notag=this.save.notag}});f.AMSarray=f.array.Subclass({type:"AMSarray",Init:function(l,k,j,i){this.SUPER(arguments).Init.apply(this);this.numbered=(k&&a.autoNumber!=="none");this.save={notags:i.global.notags,notag:i.global.notag};i.global.notags=(j?null:l);i.global.tagged=!k&&j&&!i.global.forcetag},EndEntry:function(){if(this.row.length%2===1){this.fixInitialMO(this.data)}this.row.push(b.mtd.apply(b,this.data));this.data=[]},EndRow:function(){var i=b.mtr;if(!this.global.tag&&this.numbered){this.autoTag()}if(!this.global.notags){if(this.global.tag){this.row=[this.getTag()].concat(this.row);i=b.mlabeledtr}else{this.clearTag()}}if(this.numbered){delete this.global.notag}this.table.push(i.apply(b,this.row));this.row=[]},EndTable:function(){this.SUPER(arguments).EndTable.call(this);this.global.notags=this.save.notags;this.global.notag=this.save.notag}});f.start.Augment({oldCheckItem:f.start.prototype.checkItem,checkItem:function(k){if(k.type==="stop"){var i=this.mmlData(),j=this.global;if(g.display&&!j.tag&&!j.tagged&&!j.isInner&&(a.autoNumber==="all"||j.forcetag)){this.autoTag()}if(j.tag){var m=[this.getTag(),b.mtd(i)];var l={side:h.config.TagSide,minlabelspacing:h.config.TagIndent,displaystyle:"inherit"};i=b.mtable(b.mlabeledtr.apply(b,m)).With(l)}return f.mml(i)}return this.oldCheckItem.call(this,k)}});h.prefilterHooks.Add(function(i){g.display=i.display;g.number=g.startNumber;g.eqlabels={};g.eqIDs={};g.badref=false;if(g.refUpdate){g.number=i.script.MathJax.startNumber}});h.postfilterHooks.Add(function(i){i.script.MathJax.startNumber=g.startNumber;g.startNumber=g.number;MathJax.Hub.Insert(g.IDs,g.eqIDs);MathJax.Hub.Insert(g.labels,g.eqlabels);if(g.badref&&!i.math.texError){g.refs.push(i.script)}},100);MathJax.Hub.Register.MessageHook("Begin Math Input",function(){g.refs=[];g.refUpdate=false});MathJax.Hub.Register.MessageHook("End Math Input",function(l){if(g.refs.length){g.refUpdate=true;for(var k=0,j=g.refs.length;k<j;k++){g.refs[k].MathJax.state=MathJax.ElementJax.STATE.UPDATE}return MathJax.Hub.processInput({scripts:g.refs,start:new Date().getTime(),i:0,j:0,jax:{},jaxIDs:[]})}return null});h.resetEquationNumbers=function(j,i){g.startNumber=(j||0);if(!i){g.labels={};g.IDs={}}};MathJax.Hub.Startup.signal.Post("TeX AMSmath Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSmath.js");
diff --git a/extensions/TeX/AMSsymbols.js b/extensions/TeX/AMSsymbols.js
index 7c95f12d72..4217fc1fb7 100644
--- a/extensions/TeX/AMSsymbols.js
+++ b/extensions/TeX/AMSsymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/AMSsymbols.js
+ *  /MathJax-v2/extensions/TeX/AMSsymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
+MathJax.Extension["TeX/AMSsymbols"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.InputJax.TeX.Definitions;b.Add({mathchar0mi:{digamma:"03DD",varkappa:"03F0",varGamma:["0393",{mathvariant:a.VARIANT.ITALIC}],varDelta:["0394",{mathvariant:a.VARIANT.ITALIC}],varTheta:["0398",{mathvariant:a.VARIANT.ITALIC}],varLambda:["039B",{mathvariant:a.VARIANT.ITALIC}],varXi:["039E",{mathvariant:a.VARIANT.ITALIC}],varPi:["03A0",{mathvariant:a.VARIANT.ITALIC}],varSigma:["03A3",{mathvariant:a.VARIANT.ITALIC}],varUpsilon:["03A5",{mathvariant:a.VARIANT.ITALIC}],varPhi:["03A6",{mathvariant:a.VARIANT.ITALIC}],varPsi:["03A8",{mathvariant:a.VARIANT.ITALIC}],varOmega:["03A9",{mathvariant:a.VARIANT.ITALIC}],beth:"2136",gimel:"2137",daleth:"2138",backprime:["2035",{variantForm:true}],hslash:"210F",varnothing:["2205",{variantForm:true}],blacktriangle:"25B4",triangledown:["25BD",{variantForm:true}],blacktriangledown:"25BE",square:"25FB",Box:"25FB",blacksquare:"25FC",lozenge:"25CA",Diamond:"25CA",blacklozenge:"29EB",circledS:["24C8",{mathvariant:a.VARIANT.NORMAL}],bigstar:"2605",sphericalangle:"2222",measuredangle:"2221",nexists:"2204",complement:"2201",mho:"2127",eth:["00F0",{mathvariant:a.VARIANT.NORMAL}],Finv:"2132",diagup:"2571",Game:"2141",diagdown:"2572",Bbbk:["006B",{mathvariant:a.VARIANT.DOUBLESTRUCK}],yen:"00A5",circledR:"00AE",checkmark:"2713",maltese:"2720"},mathchar0mo:{dotplus:"2214",ltimes:"22C9",smallsetminus:"2216",rtimes:"22CA",Cap:"22D2",doublecap:"22D2",leftthreetimes:"22CB",Cup:"22D3",doublecup:"22D3",rightthreetimes:"22CC",barwedge:"22BC",curlywedge:"22CF",veebar:"22BB",curlyvee:"22CE",doublebarwedge:"2A5E",boxminus:"229F",circleddash:"229D",boxtimes:"22A0",circledast:"229B",boxdot:"22A1",circledcirc:"229A",boxplus:"229E",centerdot:["22C5",{variantForm:true}],divideontimes:"22C7",intercal:"22BA",leqq:"2266",geqq:"2267",leqslant:"2A7D",geqslant:"2A7E",eqslantless:"2A95",eqslantgtr:"2A96",lesssim:"2272",gtrsim:"2273",lessapprox:"2A85",gtrapprox:"2A86",approxeq:"224A",lessdot:"22D6",gtrdot:"22D7",lll:"22D8",llless:"22D8",ggg:"22D9",gggtr:"22D9",lessgtr:"2276",gtrless:"2277",lesseqgtr:"22DA",gtreqless:"22DB",lesseqqgtr:"2A8B",gtreqqless:"2A8C",doteqdot:"2251",Doteq:"2251",eqcirc:"2256",risingdotseq:"2253",circeq:"2257",fallingdotseq:"2252",triangleq:"225C",backsim:"223D",thicksim:["223C",{variantForm:true}],backsimeq:"22CD",thickapprox:["2248",{variantForm:true}],subseteqq:"2AC5",supseteqq:"2AC6",Subset:"22D0",Supset:"22D1",sqsubset:"228F",sqsupset:"2290",preccurlyeq:"227C",succcurlyeq:"227D",curlyeqprec:"22DE",curlyeqsucc:"22DF",precsim:"227E",succsim:"227F",precapprox:"2AB7",succapprox:"2AB8",vartriangleleft:"22B2",lhd:"22B2",vartriangleright:"22B3",rhd:"22B3",trianglelefteq:"22B4",unlhd:"22B4",trianglerighteq:"22B5",unrhd:"22B5",vDash:"22A8",Vdash:"22A9",Vvdash:"22AA",smallsmile:["2323",{variantForm:true}],shortmid:["2223",{variantForm:true}],smallfrown:["2322",{variantForm:true}],shortparallel:["2225",{variantForm:true}],bumpeq:"224F",between:"226C",Bumpeq:"224E",pitchfork:"22D4",varpropto:"221D",backepsilon:"220D",blacktriangleleft:"25C2",blacktriangleright:"25B8",therefore:"2234",because:"2235",eqsim:"2242",vartriangle:["25B3",{variantForm:true}],Join:"22C8",nless:"226E",ngtr:"226F",nleq:"2270",ngeq:"2271",nleqslant:["2A87",{variantForm:true}],ngeqslant:["2A88",{variantForm:true}],nleqq:["2270",{variantForm:true}],ngeqq:["2271",{variantForm:true}],lneq:"2A87",gneq:"2A88",lneqq:"2268",gneqq:"2269",lvertneqq:["2268",{variantForm:true}],gvertneqq:["2269",{variantForm:true}],lnsim:"22E6",gnsim:"22E7",lnapprox:"2A89",gnapprox:"2A8A",nprec:"2280",nsucc:"2281",npreceq:["22E0",{variantForm:true}],nsucceq:["22E1",{variantForm:true}],precneqq:"2AB5",succneqq:"2AB6",precnsim:"22E8",succnsim:"22E9",precnapprox:"2AB9",succnapprox:"2ABA",nsim:"2241",ncong:"2246",nshortmid:["2224",{variantForm:true}],nshortparallel:["2226",{variantForm:true}],nmid:"2224",nparallel:"2226",nvdash:"22AC",nvDash:"22AD",nVdash:"22AE",nVDash:"22AF",ntriangleleft:"22EA",ntriangleright:"22EB",ntrianglelefteq:"22EC",ntrianglerighteq:"22ED",nsubseteq:"2288",nsupseteq:"2289",nsubseteqq:["2288",{variantForm:true}],nsupseteqq:["2289",{variantForm:true}],subsetneq:"228A",supsetneq:"228B",varsubsetneq:["228A",{variantForm:true}],varsupsetneq:["228B",{variantForm:true}],subsetneqq:"2ACB",supsetneqq:"2ACC",varsubsetneqq:["2ACB",{variantForm:true}],varsupsetneqq:["2ACC",{variantForm:true}],leftleftarrows:"21C7",rightrightarrows:"21C9",leftrightarrows:"21C6",rightleftarrows:"21C4",Lleftarrow:"21DA",Rrightarrow:"21DB",twoheadleftarrow:"219E",twoheadrightarrow:"21A0",leftarrowtail:"21A2",rightarrowtail:"21A3",looparrowleft:"21AB",looparrowright:"21AC",leftrightharpoons:"21CB",rightleftharpoons:["21CC",{variantForm:true}],curvearrowleft:"21B6",curvearrowright:"21B7",circlearrowleft:"21BA",circlearrowright:"21BB",Lsh:"21B0",Rsh:"21B1",upuparrows:"21C8",downdownarrows:"21CA",upharpoonleft:"21BF",upharpoonright:"21BE",downharpoonleft:"21C3",restriction:"21BE",multimap:"22B8",downharpoonright:"21C2",leftrightsquigarrow:"21AD",rightsquigarrow:"21DD",leadsto:"21DD",dashrightarrow:"21E2",dashleftarrow:"21E0",nleftarrow:"219A",nrightarrow:"219B",nLeftarrow:"21CD",nRightarrow:"21CF",nleftrightarrow:"21AE",nLeftrightarrow:"21CE"},delimiter:{"\\ulcorner":"231C","\\urcorner":"231D","\\llcorner":"231E","\\lrcorner":"231F"},macros:{implies:["Macro","\\;\\Longrightarrow\\;"],impliedby:["Macro","\\;\\Longleftarrow\\;"]}},null,true);var c=a.mo.OPTYPES.REL;MathJax.Hub.Insert(a.mo.prototype,{OPTABLE:{infix:{"\u2322":c,"\u2323":c,"\u25B3":c,"\uE006":c,"\uE007":c,"\uE00C":c,"\uE00D":c,"\uE00E":c,"\uE00F":c,"\uE010":c,"\uE011":c,"\uE016":c,"\uE017":c,"\uE018":c,"\uE019":c,"\uE01A":c,"\uE01B":c,"\uE04B":c,"\uE04F":c}}});MathJax.Hub.Startup.signal.Post("TeX AMSsymbols Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/AMSsymbols.js");
diff --git a/extensions/TeX/HTML.js b/extensions/TeX/HTML.js
index 39819b0bb2..32262432e3 100644
--- a/extensions/TeX/HTML.js
+++ b/extensions/TeX/HTML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/HTML.js
+ *  /MathJax-v2/extensions/TeX/HTML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/HTML"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{href:"HREF_attribute","class":"CLASS_attribute",style:"STYLE_attribute",cssId:"ID_attribute"}},null,true);b.Parse.Augment({HREF_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({href:d}))},CLASS_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c["class"]!=null){e=c["class"]+" "+e}this.Push(c.With({"class":e}))},STYLE_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c.style!=null){if(e.charAt(e.length-1)!==";"){e+=";"}e=c.style+" "+e}this.Push(c.With({style:e}))},ID_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({id:d}))},GetArgumentMML:function(d){var c=this.ParseArg(d);if(c.inferred&&c.data.length==1){c=c.data[0]}else{delete c.inferred}return c}});MathJax.Hub.Startup.signal.Post("TeX HTML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/HTML.js");
+MathJax.Extension["TeX/HTML"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{href:"HREF_attribute","class":"CLASS_attribute",style:"STYLE_attribute",cssId:"ID_attribute"}},null,true);b.Parse.Augment({HREF_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({href:d}))},CLASS_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c["class"]!=null){e=c["class"]+" "+e}this.Push(c.With({"class":e}))},STYLE_attribute:function(d){var e=this.GetArgument(d),c=this.GetArgumentMML(d);if(c.style!=null){if(e.charAt(e.length-1)!==";"){e+=";"}e=c.style+" "+e}this.Push(c.With({style:e}))},ID_attribute:function(e){var d=this.GetArgument(e),c=this.GetArgumentMML(e);this.Push(c.With({id:d}))},GetArgumentMML:function(d){var c=this.ParseArg(d);if(c.inferred&&c.data.length==1){c=c.data[0]}else{delete c.inferred}return c}});MathJax.Hub.Startup.signal.Post("TeX HTML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/HTML.js");
diff --git a/extensions/TeX/action.js b/extensions/TeX/action.js
index ff524a01e4..915b330643 100644
--- a/extensions/TeX/action.js
+++ b/extensions/TeX/action.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/action.js
+ *  /MathJax-v2/extensions/TeX/action.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/action"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{toggle:"Toggle",mathtip:"Mathtip",texttip:["Macro","\\mathtip{#1}{\\text{#2}}",2]}},null,true);b.Parse.Augment({Toggle:function(d){var e=[],c;while((c=this.GetArgument(d))!=="\\endtoggle"){e.push(b.Parse(c,this.stack.env).mml())}this.Push(a.maction.apply(a,e).With({actiontype:a.ACTIONTYPE.TOGGLE}))},Mathtip:function(d){var c=this.ParseArg(d),e=this.ParseArg(d);this.Push(a.maction(c,e).With({actiontype:a.ACTIONTYPE.TOOLTIP}))}});MathJax.Hub.Startup.signal.Post("TeX action Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/action.js");
+MathJax.Extension["TeX/action"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{toggle:"Toggle",mathtip:"Mathtip",texttip:["Macro","\\mathtip{#1}{\\text{#2}}",2]}},null,true);b.Parse.Augment({Toggle:function(d){var e=[],c;while((c=this.GetArgument(d))!=="\\endtoggle"){e.push(b.Parse(c,this.stack.env).mml())}this.Push(a.maction.apply(a,e).With({actiontype:a.ACTIONTYPE.TOGGLE}))},Mathtip:function(d){var c=this.ParseArg(d),e=this.ParseArg(d);this.Push(a.maction(c,e).With({actiontype:a.ACTIONTYPE.TOOLTIP}))}});MathJax.Hub.Startup.signal.Post("TeX action Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/action.js");
diff --git a/extensions/TeX/autobold.js b/extensions/TeX/autobold.js
index d9cce915a5..cb9d5220f9 100644
--- a/extensions/TeX/autobold.js
+++ b/extensions/TeX/autobold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/autobold.js
+ *  /MathJax-v2/extensions/TeX/autobold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/autobold"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.InputJax.TeX;a.prefilterHooks.Add(function(d){var c=d.script.parentNode.insertBefore(document.createElement("span"),d.script);c.visibility="hidden";c.style.fontFamily="Times, serif";c.appendChild(document.createTextNode("ABCXYZabcxyz"));var b=c.offsetWidth;c.style.fontWeight="bold";if(b&&c.offsetWidth===b){d.math="\\boldsymbol{"+d.math+"}"}c.parentNode.removeChild(c)});MathJax.Hub.Startup.signal.Post("TeX autobold Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/autobold.js");
+MathJax.Extension["TeX/autobold"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.InputJax.TeX;a.prefilterHooks.Add(function(d){var c=d.script.parentNode.insertBefore(document.createElement("span"),d.script);c.visibility="hidden";c.style.fontFamily="Times, serif";c.appendChild(document.createTextNode("ABCXYZabcxyz"));var b=c.offsetWidth;c.style.fontWeight="bold";if(b&&c.offsetWidth===b){d.math="\\boldsymbol{"+d.math+"}"}c.parentNode.removeChild(c)});MathJax.Hub.Startup.signal.Post("TeX autobold Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/autobold.js");
diff --git a/extensions/TeX/autoload-all.js b/extensions/TeX/autoload-all.js
index 3b2db7f2ca..4e43f43682 100644
--- a/extensions/TeX/autoload-all.js
+++ b/extensions/TeX/autoload-all.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/autoload-all.js
+ *  /MathJax-v2/extensions/TeX/autoload-all.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/autoload-all"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var h={action:["mathtip","texttip","toggle"],AMSmath:["mathring","nobreakspace","negmedspace","negthickspace","intI","iiiint","idotsint","dddot","ddddot","sideset","boxed","substack","injlim","projlim","varliminf","varlimsup","varinjlim","varprojlim","DeclareMathOperator","operatorname","genfrac","tfrac","dfrac","binom","tbinom","dbinom","cfrac","shoveleft","shoveright","xrightarrow","xleftarrow"],begingroup:["begingroup","endgroup","gdef","global"],cancel:["cancel","bcancel","xcancel","cancelto"],color:["color","textcolor","colorbox","fcolorbox","definecolor"],enclose:["enclose"],extpfeil:["Newextarrow","xlongequal","xmapsto","xtofrom","xtwoheadleftarrow","xtwoheadrightarrow"],mhchem:["ce","cee","cf"]};var c={AMSmath:["subarray","smallmatrix","equation","equation*"],AMScd:["CD"]};var d,g,b,a={macros:{},environment:{}};for(d in h){if(h.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var f=h[d];for(g=0,b=f.length;g<b;g++){a.macros[f[g]]=["Extension",d]}}}}for(d in c){if(c.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var e=c[d];for(g=0,b=e.length;g<b;g++){a.environment[e[g]]=["ExtensionEnv",null,d]}}}}MathJax.InputJax.TeX.Definitions.Add(a);MathJax.Hub.Startup.signal.Post("TeX autoload-all Ready")});MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/TeX/AMSsymbols.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/TeX/autoload-all.js"]);
+MathJax.Extension["TeX/autoload-all"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var h={action:["mathtip","texttip","toggle"],AMSmath:["mathring","nobreakspace","negmedspace","negthickspace","intI","iiiint","idotsint","dddot","ddddot","sideset","boxed","substack","injlim","projlim","varliminf","varlimsup","varinjlim","varprojlim","DeclareMathOperator","operatorname","genfrac","tfrac","dfrac","binom","tbinom","dbinom","cfrac","shoveleft","shoveright","xrightarrow","xleftarrow"],begingroup:["begingroup","endgroup","gdef","global"],cancel:["cancel","bcancel","xcancel","cancelto"],color:["color","textcolor","colorbox","fcolorbox","definecolor"],enclose:["enclose"],extpfeil:["Newextarrow","xlongequal","xmapsto","xtofrom","xtwoheadleftarrow","xtwoheadrightarrow"],mhchem:["ce","cee","cf"]};var c={AMSmath:["subarray","smallmatrix","equation","equation*"],AMScd:["CD"]};var d,g,b,a={macros:{},environment:{}};for(d in h){if(h.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var f=h[d];for(g=0,b=f.length;g<b;g++){a.macros[f[g]]=["Extension",d]}}}}for(d in c){if(c.hasOwnProperty(d)){if(!MathJax.Extension["TeX/"+d]){var e=c[d];for(g=0,b=e.length;g<b;g++){a.environment[e[g]]=["ExtensionEnv",null,d]}}}}MathJax.InputJax.TeX.Definitions.Add(a);MathJax.Hub.Startup.signal.Post("TeX autoload-all Ready")});MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/extensions/TeX/AMSsymbols.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/TeX/autoload-all.js"]);
diff --git a/extensions/TeX/bbox.js b/extensions/TeX/bbox.js
index bda002bdb7..3c3dd898ad 100644
--- a/extensions/TeX/bbox.js
+++ b/extensions/TeX/bbox.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/bbox.js
+ *  /MathJax-v2/extensions/TeX/bbox.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/bbox"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{bbox:"BBox"}},null,true);b.Parse.Augment({BBox:function(e){var p=this.GetBrackets(e,""),o=this.ParseArg(e);var k=p.split(/,/),g,d,c;for(var l=0,j=k.length;l<j;l++){var f=k[l].replace(/^\s+/,"").replace(/\s+$/,"");var n=f.match(/^(\.\d+|\d+(\.\d*)?)(pt|em|ex|mu|px|in|cm|mm)$/);if(n){if(g){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Padding",e])}var h=this.BBoxPadding(n[1]+n[3]);if(h){g={height:"+"+h,depth:"+"+h,lspace:h,width:"+"+(2*n[1])+n[3]}}}else{if(f.match(/^([a-z0-9]+|\#[0-9a-f]{6}|\#[0-9a-f]{3})$/i)){if(d){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Background",e])}d=f}else{if(f.match(/^[-a-z]+:/i)){if(c){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Style",e])}c=this.BBoxStyle(f)}else{if(f!==""){b.Error(["InvalidBBoxProperty","'%1' doesn't look like a color, a padding dimension, or a style",f])}}}}}if(g){o=a.mpadded(o).With(g)}if(d||c){o=a.mstyle(o).With({mathbackground:d,style:c})}this.Push(o)},BBoxStyle:function(c){return c},BBoxPadding:function(c){return c}});MathJax.Hub.Startup.signal.Post("TeX bbox Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/bbox.js");
+MathJax.Extension["TeX/bbox"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;b.Definitions.Add({macros:{bbox:"BBox"}},null,true);b.Parse.Augment({BBox:function(e){var p=this.GetBrackets(e,""),o=this.ParseArg(e);var k=p.split(/,/),g,d,c;for(var l=0,j=k.length;l<j;l++){var f=k[l].replace(/^\s+/,"").replace(/\s+$/,"");var n=f.match(/^(\.\d+|\d+(\.\d*)?)(pt|em|ex|mu|px|in|cm|mm)$/);if(n){if(g){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Padding",e])}var h=this.BBoxPadding(n[1]+n[3]);if(h){g={height:"+"+h,depth:"+"+h,lspace:h,width:"+"+(2*n[1])+n[3]}}}else{if(f.match(/^([a-z0-9]+|\#[0-9a-f]{6}|\#[0-9a-f]{3})$/i)){if(d){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Background",e])}d=f}else{if(f.match(/^[-a-z]+:/i)){if(c){b.Error(["MultipleBBoxProperty","%1 specified twice in %2","Style",e])}c=this.BBoxStyle(f)}else{if(f!==""){b.Error(["InvalidBBoxProperty","'%1' doesn't look like a color, a padding dimension, or a style",f])}}}}}if(g){o=a.mpadded(o).With(g)}if(d||c){o=a.mstyle(o).With({mathbackground:d,style:c})}this.Push(o)},BBoxStyle:function(c){return c},BBoxPadding:function(c){return c}});MathJax.Hub.Startup.signal.Post("TeX bbox Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/bbox.js");
diff --git a/extensions/TeX/begingroup.js b/extensions/TeX/begingroup.js
index 30b7ab53bf..dea12d7419 100644
--- a/extensions/TeX/begingroup.js
+++ b/extensions/TeX/begingroup.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/begingroup.js
+ *  /MathJax-v2/extensions/TeX/begingroup.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/begingroup"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,b=d.Definitions;var a=MathJax.Object.Subclass({macros:null,environments:null,Init:function(e,f){this.macros=(e||{});this.environments=(f||{})},Find:function(e,f){if(this[f].hasOwnProperty(e)){return this[f][e]}},Def:function(e,g,f){this[f][e]=g},Undef:function(e,f){delete this[f][e]},Merge:function(e){MathJax.Hub.Insert(this.macros,e.macros);MathJax.Hub.Insert(this.environments,e.environments)},MergeGlobals:function(e){var f=this.macros;for(var g in f){if(f.hasOwnProperty(g)&&f[g].global){e.Def(g,f[g],"macros",true);delete f[g].global;delete f[g]}}},Clear:function(g){this.environments={};if(g){this.macros={}}else{var e=this.macros;for(var f in e){if(e.hasOwnProperty(f)&&!e[f].global){delete e[f]}}}return this}});var c=d.nsStack=MathJax.Object.Subclass({stack:null,top:0,isEqn:false,Init:function(e){this.isEqn=e;this.stack=[];if(!e){this.Push(a(b.macros,b.environment))}else{this.Push(a())}},Def:function(e,h,f,g){var i=this.top-1;if(g){while(i>0){this.stack[i].Undef(e,f);i--}if(!MathJax.Object.isArray(h)){h=[h]}if(this.isEqn){h.global=true}}this.stack[i].Def(e,h,f)},Push:function(e){this.stack.push(e);this.top=this.stack.length},Pop:function(){var e;if(this.top>1){e=this.stack[--this.top];if(this.isEqn){this.stack.pop()}}else{if(this.isEqn){this.Clear()}}return e},Find:function(e,g){for(var f=this.top-1;f>=0;f--){var h=this.stack[f].Find(e,g);if(h){return h}}return null},Merge:function(e){e.stack[0].MergeGlobals(this);this.stack[this.top-1].Merge(e.stack[0]);var f=[this.top,this.stack.length-this.top].concat(e.stack.slice(1));this.stack.splice.apply(this.stack,f);this.top=this.stack.length},Reset:function(){this.top=this.stack.length},Clear:function(e){this.stack=[this.stack[0].Clear()];this.top=this.stack.length}},{nsFrame:a});b.Add({macros:{begingroup:"BeginGroup",endgroup:"EndGroup",global:"Global",gdef:["Macro","\\global\\def"]}},null,true);d.Parse.Augment({BeginGroup:function(e){d.eqnStack.Push(a())},EndGroup:function(e){if(d.eqnStack.top>1){d.eqnStack.Pop()}else{if(d.rootStack.top===1){d.Error(["ExtraEndMissingBegin","Extra %1 or missing \\begingroup",e])}else{d.eqnStack.Clear();d.rootStack.Pop()}}},csFindMacro:function(e){return(d.eqnStack.Find(e,"macros")||d.rootStack.Find(e,"macros"))},envFindName:function(e){return(d.eqnStack.Find(e,"environments")||d.rootStack.Find(e,"environments"))},setDef:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"macros",this.stack.env.isGlobal);delete this.stack.env.isGlobal},setEnv:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"environments")},Global:function(e){var f=this.i;var g=this.GetCSname(e);this.i=f;if(g!=="let"&&g!=="def"&&g!=="newcommand"&&g!=="DeclareMathOperator"&&g!=="Newextarrow"){d.Error(["GlobalNotFollowedBy","%1 not followed by \\let, \\def, or \\newcommand",e])}this.stack.env.isGlobal=true}});d.rootStack=c();d.eqnStack=c(true);d.prefilterHooks.Add(function(){d.rootStack.Reset();d.eqnStack.Clear(true)});d.postfilterHooks.Add(function(){d.rootStack.Merge(d.eqnStack)});MathJax.Hub.Startup.signal.Post("TeX begingroup Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/begingroup.js");
+MathJax.Extension["TeX/begingroup"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,b=d.Definitions;var a=MathJax.Object.Subclass({macros:null,environments:null,Init:function(e,f){this.macros=(e||{});this.environments=(f||{})},Find:function(e,f){if(this[f].hasOwnProperty(e)){return this[f][e]}},Def:function(e,g,f){this[f][e]=g},Undef:function(e,f){delete this[f][e]},Merge:function(e){MathJax.Hub.Insert(this.macros,e.macros);MathJax.Hub.Insert(this.environments,e.environments)},MergeGlobals:function(e){var f=this.macros;for(var g in f){if(f.hasOwnProperty(g)&&f[g].global){e.Def(g,f[g],"macros",true);delete f[g].global;delete f[g]}}},Clear:function(g){this.environments={};if(g){this.macros={}}else{var e=this.macros;for(var f in e){if(e.hasOwnProperty(f)&&!e[f].global){delete e[f]}}}return this}});var c=d.nsStack=MathJax.Object.Subclass({stack:null,top:0,isEqn:false,Init:function(e){this.isEqn=e;this.stack=[];if(!e){this.Push(a(b.macros,b.environment))}else{this.Push(a())}},Def:function(e,h,f,g){var i=this.top-1;if(g){while(i>0){this.stack[i].Undef(e,f);i--}if(!MathJax.Object.isArray(h)){h=[h]}if(this.isEqn){h.global=true}}this.stack[i].Def(e,h,f)},Push:function(e){this.stack.push(e);this.top=this.stack.length},Pop:function(){var e;if(this.top>1){e=this.stack[--this.top];if(this.isEqn){this.stack.pop()}}else{if(this.isEqn){this.Clear()}}return e},Find:function(e,g){for(var f=this.top-1;f>=0;f--){var h=this.stack[f].Find(e,g);if(h){return h}}return null},Merge:function(e){e.stack[0].MergeGlobals(this);this.stack[this.top-1].Merge(e.stack[0]);var f=[this.top,this.stack.length-this.top].concat(e.stack.slice(1));this.stack.splice.apply(this.stack,f);this.top=this.stack.length},Reset:function(){this.top=this.stack.length},Clear:function(e){this.stack=[this.stack[0].Clear()];this.top=this.stack.length}},{nsFrame:a});b.Add({macros:{begingroup:"BeginGroup",endgroup:"EndGroup",global:"Global",gdef:["Macro","\\global\\def"]}},null,true);d.Parse.Augment({BeginGroup:function(e){d.eqnStack.Push(a())},EndGroup:function(e){if(d.eqnStack.top>1){d.eqnStack.Pop()}else{if(d.rootStack.top===1){d.Error(["ExtraEndMissingBegin","Extra %1 or missing \\begingroup",e])}else{d.eqnStack.Clear();d.rootStack.Pop()}}},csFindMacro:function(e){return(d.eqnStack.Find(e,"macros")||d.rootStack.Find(e,"macros"))},envFindName:function(e){return(d.eqnStack.Find(e,"environments")||d.rootStack.Find(e,"environments"))},setDef:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"macros",this.stack.env.isGlobal);delete this.stack.env.isGlobal},setEnv:function(e,f){f.isUser=true;d.eqnStack.Def(e,f,"environments")},Global:function(e){var f=this.i;var g=this.GetCSname(e);this.i=f;if(g!=="let"&&g!=="def"&&g!=="newcommand"&&g!=="DeclareMathOperator"&&g!=="Newextarrow"){d.Error(["GlobalNotFollowedBy","%1 not followed by \\let, \\def, or \\newcommand",e])}this.stack.env.isGlobal=true}});d.rootStack=c();d.eqnStack=c(true);d.prefilterHooks.Add(function(){d.rootStack.Reset();d.eqnStack.Clear(true)});d.postfilterHooks.Add(function(){d.rootStack.Merge(d.eqnStack)});MathJax.Hub.Startup.signal.Post("TeX begingroup Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/begingroup.js");
diff --git a/extensions/TeX/boldsymbol.js b/extensions/TeX/boldsymbol.js
index 63f2545928..87186a9fc3 100644
--- a/extensions/TeX/boldsymbol.js
+++ b/extensions/TeX/boldsymbol.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/boldsymbol.js
+ *  /MathJax-v2/extensions/TeX/boldsymbol.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/boldsymbol"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;var c={};c[a.VARIANT.NORMAL]=a.VARIANT.BOLD;c[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;c[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;c[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;c[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;c["-tex-caligraphic"]="-tex-caligraphic-bold";c["-tex-oldstyle"]="-tex-oldstyle-bold";b.Add({macros:{boldsymbol:"Boldsymbol"}},null,true);d.Parse.Augment({mmlToken:function(f){if(this.stack.env.boldsymbol){var e=f.Get("mathvariant");if(e==null){f.mathvariant=a.VARIANT.BOLD}else{f.mathvariant=(c[e]||e)}}return f},Boldsymbol:function(h){var e=this.stack.env.boldsymbol,f=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var g=this.ParseArg(h);this.stack.env.font=f;this.stack.env.boldsymbol=e;this.Push(g)}});MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js");
+MathJax.Extension["TeX/boldsymbol"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;var c={};c[a.VARIANT.NORMAL]=a.VARIANT.BOLD;c[a.VARIANT.ITALIC]=a.VARIANT.BOLDITALIC;c[a.VARIANT.FRAKTUR]=a.VARIANT.BOLDFRAKTUR;c[a.VARIANT.SCRIPT]=a.VARIANT.BOLDSCRIPT;c[a.VARIANT.SANSSERIF]=a.VARIANT.BOLDSANSSERIF;c["-tex-caligraphic"]="-tex-caligraphic-bold";c["-tex-oldstyle"]="-tex-oldstyle-bold";b.Add({macros:{boldsymbol:"Boldsymbol"}},null,true);d.Parse.Augment({mmlToken:function(f){if(this.stack.env.boldsymbol){var e=f.Get("mathvariant");if(e==null){f.mathvariant=a.VARIANT.BOLD}else{f.mathvariant=(c[e]||e)}}return f},Boldsymbol:function(h){var e=this.stack.env.boldsymbol,f=this.stack.env.font;this.stack.env.boldsymbol=true;this.stack.env.font=null;var g=this.ParseArg(h);this.stack.env.font=f;this.stack.env.boldsymbol=e;this.Push(g)}});MathJax.Hub.Startup.signal.Post("TeX boldsymbol Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/boldsymbol.js");
diff --git a/extensions/TeX/cancel.js b/extensions/TeX/cancel.js
index ee2d5bc647..af792f5bf1 100644
--- a/extensions/TeX/cancel.js
+++ b/extensions/TeX/cancel.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/cancel.js
+ *  /MathJax-v2/extensions/TeX/cancel.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/cancel"]={version:"2.7.6",ALLOWED:{color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/cancel"];b.setAttributes=function(h,e){if(e!==""){e=e.replace(/ /g,"").split(/,/);for(var g=0,d=e.length;g<d;g++){var f=e[g].split(/[:=]/);if(b.ALLOWED[f[0]]){if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}h[f[0]]=f[1]}}}return h};c.Definitions.Add({macros:{cancel:["Cancel",a.NOTATION.UPDIAGONALSTRIKE],bcancel:["Cancel",a.NOTATION.DOWNDIAGONALSTRIKE],xcancel:["Cancel",a.NOTATION.UPDIAGONALSTRIKE+" "+a.NOTATION.DOWNDIAGONALSTRIKE],cancelto:"CancelTo"}},null,true);c.Parse.Augment({Cancel:function(e,g){var d=this.GetBrackets(e,""),f=this.ParseArg(e);var h=b.setAttributes({notation:g},d);this.Push(a.menclose(f).With(h))},CancelTo:function(e,g){var i=this.ParseArg(e),d=this.GetBrackets(e,""),f=this.ParseArg(e);var h=b.setAttributes({notation:a.NOTATION.UPDIAGONALSTRIKE+" "+a.NOTATION.UPDIAGONALARROW},d);i=a.mpadded(i).With({depth:"-.1em",height:"+.1em",voffset:".1em"});this.Push(a.msup(a.menclose(f).With(h),i))}});MathJax.Hub.Startup.signal.Post("TeX cancel Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/cancel.js");
+MathJax.Extension["TeX/cancel"]={version:"2.7.9",ALLOWED:{color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/cancel"];b.setAttributes=function(h,e){if(e!==""){e=e.replace(/ /g,"").split(/,/);for(var g=0,d=e.length;g<d;g++){var f=e[g].split(/[:=]/);if(b.ALLOWED[f[0]]){if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}h[f[0]]=f[1]}}}return h};c.Definitions.Add({macros:{cancel:["Cancel",a.NOTATION.UPDIAGONALSTRIKE],bcancel:["Cancel",a.NOTATION.DOWNDIAGONALSTRIKE],xcancel:["Cancel",a.NOTATION.UPDIAGONALSTRIKE+" "+a.NOTATION.DOWNDIAGONALSTRIKE],cancelto:"CancelTo"}},null,true);c.Parse.Augment({Cancel:function(e,g){var d=this.GetBrackets(e,""),f=this.ParseArg(e);var h=b.setAttributes({notation:g},d);this.Push(a.menclose(f).With(h))},CancelTo:function(e,g){var i=this.ParseArg(e),d=this.GetBrackets(e,""),f=this.ParseArg(e);var h=b.setAttributes({notation:a.NOTATION.UPDIAGONALSTRIKE+" "+a.NOTATION.UPDIAGONALARROW},d);i=a.mpadded(i).With({depth:"-.1em",height:"+.1em",voffset:".1em"});this.Push(a.msup(a.menclose(f).With(h),i))}});MathJax.Hub.Startup.signal.Post("TeX cancel Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/cancel.js");
diff --git a/extensions/TeX/color.js b/extensions/TeX/color.js
index 738c9ad2f0..a902d6b059 100644
--- a/extensions/TeX/color.js
+++ b/extensions/TeX/color.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/color.js
+ *  /MathJax-v2/extensions/TeX/color.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/color"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.color",{padding:"5px",border:"2px"}),colors:{Apricot:"#FBB982",Aquamarine:"#00B5BE",Bittersweet:"#C04F17",Black:"#221E1F",Blue:"#2D2F92",BlueGreen:"#00B3B8",BlueViolet:"#473992",BrickRed:"#B6321C",Brown:"#792500",BurntOrange:"#F7921D",CadetBlue:"#74729A",CarnationPink:"#F282B4",Cerulean:"#00A2E3",CornflowerBlue:"#41B0E4",Cyan:"#00AEEF",Dandelion:"#FDBC42",DarkOrchid:"#A4538A",Emerald:"#00A99D",ForestGreen:"#009B55",Fuchsia:"#8C368C",Goldenrod:"#FFDF42",Gray:"#949698",Green:"#00A64F",GreenYellow:"#DFE674",JungleGreen:"#00A99A",Lavender:"#F49EC4",LimeGreen:"#8DC73E",Magenta:"#EC008C",Mahogany:"#A9341F",Maroon:"#AF3235",Melon:"#F89E7B",MidnightBlue:"#006795",Mulberry:"#A93C93",NavyBlue:"#006EB8",OliveGreen:"#3C8031",Orange:"#F58137",OrangeRed:"#ED135A",Orchid:"#AF72B0",Peach:"#F7965A",Periwinkle:"#7977B8",PineGreen:"#008B72",Plum:"#92268F",ProcessBlue:"#00B0F0",Purple:"#99479B",RawSienna:"#974006",Red:"#ED1B23",RedOrange:"#F26035",RedViolet:"#A1246B",Rhodamine:"#EF559F",RoyalBlue:"#0071BC",RoyalPurple:"#613F99",RubineRed:"#ED017D",Salmon:"#F69289",SeaGreen:"#3FBC9D",Sepia:"#671800",SkyBlue:"#46C5DD",SpringGreen:"#C6DC67",Tan:"#DA9D76",TealBlue:"#00AEB3",Thistle:"#D883B7",Turquoise:"#00B4CE",Violet:"#58429B",VioletRed:"#EF58A0",White:"#FFFFFF",WildStrawberry:"#EE2967",Yellow:"#FFF200",YellowGreen:"#98CC70",YellowOrange:"#FAA21A"},getColor:function(a,c){if(!a){a="named"}var b=this["get_"+a];if(!b){this.TEX.Error(["UndefinedColorModel","Color model '%1' not defined",a])}return b.call(this,c)},get_rgb:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","rgb"])}for(var c=0;c<3;c++){if(!b[c].match(/^(\d+(\.\d*)?|\.\d+)$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var d=parseFloat(b[c]);if(d<0||d>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","rgb",0,1])}d=Math.floor(d*255).toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_RGB:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","RGB"])}for(var c=0;c<3;c++){if(!b[c].match(/^\d+$/)){this.TEX.Error(["InvalidNumber","Invalid number"])}var d=parseInt(b[c]);if(d>255){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","RGB",0,255])}d=d.toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_gray:function(a){if(!a.match(/^\s*(\d+(\.\d*)?|\.\d+)\s*$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var b=parseFloat(a);if(b<0||b>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","gray",0,1])}b=Math.floor(b*255).toString(16);if(b.length<2){b="0"+b}return"#"+b+b+b},get_named:function(a){if(this.colors.hasOwnProperty(a)){return this.colors[a]}return a},padding:function(){var c="+"+this.config.padding;var a=this.config.padding.replace(/^.*?([a-z]*)$/,"$1");var b="+"+(2*parseFloat(c))+a;return{width:b,height:c,depth:c,lspace:this.config.padding}}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;var c=d.Stack.Item;var b=MathJax.Extension["TeX/color"];b.TEX=d;d.Definitions.Add({macros:{color:"Color",textcolor:"TextColor",definecolor:"DefineColor",colorbox:"ColorBox",fcolorbox:"fColorBox"}},null,true);d.Parse.Augment({Color:function(h){var g=this.GetBrackets(h),e=this.GetArgument(h);e=b.getColor(g,e);var f=c.style().With({styles:{mathcolor:e}});this.stack.env.color=e;this.Push(f)},TextColor:function(h){var g=this.GetBrackets(h),f=this.GetArgument(h);f=b.getColor(g,f);var e=this.stack.env.color;this.stack.env.color=f;var i=this.ParseArg(h);if(e){this.stack.env.color}else{delete this.stack.env.color}this.Push(a.mstyle(i).With({mathcolor:f}))},DefineColor:function(g){var f=this.GetArgument(g),e=this.GetArgument(g),h=this.GetArgument(g);b.colors[f]=b.getColor(e,h)},ColorBox:function(g){var f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f)}).With(b.padding()))},fColorBox:function(g){var h=this.GetArgument(g),f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f),style:"border: "+b.config.border+" solid "+b.getColor("named",h)}).With(b.padding()))}});MathJax.Hub.Startup.signal.Post("TeX color Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/color.js");
+MathJax.Extension["TeX/color"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.color",{padding:"5px",border:"2px"}),colors:{Apricot:"#FBB982",Aquamarine:"#00B5BE",Bittersweet:"#C04F17",Black:"#221E1F",Blue:"#2D2F92",BlueGreen:"#00B3B8",BlueViolet:"#473992",BrickRed:"#B6321C",Brown:"#792500",BurntOrange:"#F7921D",CadetBlue:"#74729A",CarnationPink:"#F282B4",Cerulean:"#00A2E3",CornflowerBlue:"#41B0E4",Cyan:"#00AEEF",Dandelion:"#FDBC42",DarkOrchid:"#A4538A",Emerald:"#00A99D",ForestGreen:"#009B55",Fuchsia:"#8C368C",Goldenrod:"#FFDF42",Gray:"#949698",Green:"#00A64F",GreenYellow:"#DFE674",JungleGreen:"#00A99A",Lavender:"#F49EC4",LimeGreen:"#8DC73E",Magenta:"#EC008C",Mahogany:"#A9341F",Maroon:"#AF3235",Melon:"#F89E7B",MidnightBlue:"#006795",Mulberry:"#A93C93",NavyBlue:"#006EB8",OliveGreen:"#3C8031",Orange:"#F58137",OrangeRed:"#ED135A",Orchid:"#AF72B0",Peach:"#F7965A",Periwinkle:"#7977B8",PineGreen:"#008B72",Plum:"#92268F",ProcessBlue:"#00B0F0",Purple:"#99479B",RawSienna:"#974006",Red:"#ED1B23",RedOrange:"#F26035",RedViolet:"#A1246B",Rhodamine:"#EF559F",RoyalBlue:"#0071BC",RoyalPurple:"#613F99",RubineRed:"#ED017D",Salmon:"#F69289",SeaGreen:"#3FBC9D",Sepia:"#671800",SkyBlue:"#46C5DD",SpringGreen:"#C6DC67",Tan:"#DA9D76",TealBlue:"#00AEB3",Thistle:"#D883B7",Turquoise:"#00B4CE",Violet:"#58429B",VioletRed:"#EF58A0",White:"#FFFFFF",WildStrawberry:"#EE2967",Yellow:"#FFF200",YellowGreen:"#98CC70",YellowOrange:"#FAA21A"},getColor:function(a,c){if(!a){a="named"}var b=this["get_"+a];if(!b){this.TEX.Error(["UndefinedColorModel","Color model '%1' not defined",a])}return b.call(this,c)},get_rgb:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","rgb"])}for(var c=0;c<3;c++){if(!b[c].match(/^(\d+(\.\d*)?|\.\d+)$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var d=parseFloat(b[c]);if(d<0||d>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","rgb",0,1])}d=Math.floor(d*255).toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_RGB:function(b){b=b.replace(/^\s+/,"").replace(/\s+$/,"").split(/\s*,\s*/);var a="#";if(b.length!==3){this.TEX.Error(["ModelArg1","Color values for the %1 model require 3 numbers","RGB"])}for(var c=0;c<3;c++){if(!b[c].match(/^\d+$/)){this.TEX.Error(["InvalidNumber","Invalid number"])}var d=parseInt(b[c]);if(d>255){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","RGB",0,255])}d=d.toString(16);if(d.length<2){d="0"+d}a+=d}return a},get_gray:function(a){if(!a.match(/^\s*(\d+(\.\d*)?|\.\d+)\s*$/)){this.TEX.Error(["InvalidDecimalNumber","Invalid decimal number"])}var b=parseFloat(a);if(b<0||b>1){this.TEX.Error(["ModelArg2","Color values for the %1 model must be between %2 and %3","gray",0,1])}b=Math.floor(b*255).toString(16);if(b.length<2){b="0"+b}return"#"+b+b+b},get_named:function(a){if(this.colors.hasOwnProperty(a)){return this.colors[a]}return a},padding:function(){var c="+"+this.config.padding;var a=this.config.padding.replace(/^.*?([a-z]*)$/,"$1");var b="+"+(2*parseFloat(c))+a;return{width:b,height:c,depth:c,lspace:this.config.padding}}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var d=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml;var c=d.Stack.Item;var b=MathJax.Extension["TeX/color"];b.TEX=d;d.Definitions.Add({macros:{color:"Color",textcolor:"TextColor",definecolor:"DefineColor",colorbox:"ColorBox",fcolorbox:"fColorBox"}},null,true);d.Parse.Augment({Color:function(h){var g=this.GetBrackets(h),e=this.GetArgument(h);e=b.getColor(g,e);var f=c.style().With({styles:{mathcolor:e}});this.stack.env.color=e;this.Push(f)},TextColor:function(h){var g=this.GetBrackets(h),f=this.GetArgument(h);f=b.getColor(g,f);var e=this.stack.env.color;this.stack.env.color=f;var i=this.ParseArg(h);if(e){this.stack.env.color}else{delete this.stack.env.color}this.Push(a.mstyle(i).With({mathcolor:f}))},DefineColor:function(g){var f=this.GetArgument(g),e=this.GetArgument(g),h=this.GetArgument(g);b.colors[f]=b.getColor(e,h)},ColorBox:function(g){var f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f)}).With(b.padding()))},fColorBox:function(g){var h=this.GetArgument(g),f=this.GetArgument(g),e=this.InternalMath(this.GetArgument(g));this.Push(a.mpadded.apply(a,e).With({mathbackground:b.getColor("named",f),style:"border: "+b.config.border+" solid "+b.getColor("named",h)}).With(b.padding()))}});MathJax.Hub.Startup.signal.Post("TeX color Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/color.js");
diff --git a/extensions/TeX/enclose.js b/extensions/TeX/enclose.js
index 233da368ec..ac84fc7249 100644
--- a/extensions/TeX/enclose.js
+++ b/extensions/TeX/enclose.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/enclose.js
+ *  /MathJax-v2/extensions/TeX/enclose.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/enclose"]={version:"2.7.6",ALLOWED:{arrow:1,color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/enclose"].ALLOWED;c.Definitions.Add({macros:{enclose:"Enclose"}},null,true);c.Parse.Augment({Enclose:function(g){var k=this.GetArgument(g),e=this.GetBrackets(g),j=this.ParseArg(g);var l={notation:k.replace(/,/g," ")};if(e){e=e.replace(/ /g,"").split(/,/);for(var h=0,d=e.length;h<d;h++){var f=e[h].split(/[:=]/);if(b[f[0]]){f[1]=f[1].replace(/^"(.*)"$/,"$1");if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}if(f[0]==="arrow"&&f[1]){l.notation=l.notation+" updiagonalarrow"}else{l[f[0]]=f[1]}}}}this.Push(a.menclose(j).With(l))}});MathJax.Hub.Startup.signal.Post("TeX enclose Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/enclose.js");
+MathJax.Extension["TeX/enclose"]={version:"2.7.9",ALLOWED:{arrow:1,color:1,mathcolor:1,background:1,mathbackground:1,padding:1,thickness:1}};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX,a=MathJax.ElementJax.mml,b=MathJax.Extension["TeX/enclose"].ALLOWED;c.Definitions.Add({macros:{enclose:"Enclose"}},null,true);c.Parse.Augment({Enclose:function(g){var k=this.GetArgument(g),e=this.GetBrackets(g),j=this.ParseArg(g);var l={notation:k.replace(/,/g," ")};if(e){e=e.replace(/ /g,"").split(/,/);for(var h=0,d=e.length;h<d;h++){var f=e[h].split(/[:=]/);if(b[f[0]]){f[1]=f[1].replace(/^"(.*)"$/,"$1");if(f[1]==="true"){f[1]=true}if(f[1]==="false"){f[1]=false}if(f[0]==="arrow"&&f[1]){l.notation=l.notation+" updiagonalarrow"}else{l[f[0]]=f[1]}}}}this.Push(a.menclose(j).With(l))}});MathJax.Hub.Startup.signal.Post("TeX enclose Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/enclose.js");
diff --git a/extensions/TeX/extpfeil.js b/extensions/TeX/extpfeil.js
index 814f1fc4a9..240985885b 100644
--- a/extensions/TeX/extpfeil.js
+++ b/extensions/TeX/extpfeil.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/extpfeil.js
+ *  /MathJax-v2/extensions/TeX/extpfeil.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/extpfeil"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=b.Definitions;a.Add({macros:{xtwoheadrightarrow:["Extension","AMSmath"],xtwoheadleftarrow:["Extension","AMSmath"],xmapsto:["Extension","AMSmath"],xlongequal:["Extension","AMSmath"],xtofrom:["Extension","AMSmath"],Newextarrow:["Extension","AMSmath"]}},null,true);MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){MathJax.Hub.Insert(a,{macros:{xtwoheadrightarrow:["xArrow",8608,12,16],xtwoheadleftarrow:["xArrow",8606,17,13],xmapsto:["xArrow",8614,6,7],xlongequal:["xArrow",61,7,7],xtofrom:["xArrow",8644,12,12],Newextarrow:"NewExtArrow"}})});b.Parse.Augment({NewExtArrow:function(c){var e=this.GetArgument(c),f=this.GetArgument(c),d=this.GetArgument(c);if(!e.match(/^\\([a-z]+|.)$/i)){b.Error(["NewextarrowArg1","First argument to %1 must be a control sequence name",c])}if(!f.match(/^(\d+),(\d+)$/)){b.Error(["NewextarrowArg2","Second argument to %1 must be two integers separated by a comma",c])}if(!d.match(/^(\d+|0x[0-9A-F]+)$/i)){b.Error(["NewextarrowArg3","Third argument to %1 must be a unicode character number",c])}e=e.substr(1);f=f.split(",");d=parseInt(d);this.setDef(e,["xArrow",d,parseInt(f[0]),parseInt(f[1])])}});MathJax.Hub.Startup.signal.Post("TeX extpfeil Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/extpfeil.js");
+MathJax.Extension["TeX/extpfeil"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX,a=b.Definitions;a.Add({macros:{xtwoheadrightarrow:["Extension","AMSmath"],xtwoheadleftarrow:["Extension","AMSmath"],xmapsto:["Extension","AMSmath"],xlongequal:["Extension","AMSmath"],xtofrom:["Extension","AMSmath"],Newextarrow:["Extension","AMSmath"]}},null,true);MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){MathJax.Hub.Insert(a,{macros:{xtwoheadrightarrow:["xArrow",8608,12,16],xtwoheadleftarrow:["xArrow",8606,17,13],xmapsto:["xArrow",8614,6,7],xlongequal:["xArrow",61,7,7],xtofrom:["xArrow",8644,12,12],Newextarrow:"NewExtArrow"}})});b.Parse.Augment({NewExtArrow:function(c){var e=this.GetArgument(c),f=this.GetArgument(c),d=this.GetArgument(c);if(!e.match(/^\\([a-z]+|.)$/i)){b.Error(["NewextarrowArg1","First argument to %1 must be a control sequence name",c])}if(!f.match(/^(\d+),(\d+)$/)){b.Error(["NewextarrowArg2","Second argument to %1 must be two integers separated by a comma",c])}if(!d.match(/^(\d+|0x[0-9A-F]+)$/i)){b.Error(["NewextarrowArg3","Third argument to %1 must be a unicode character number",c])}e=e.substr(1);f=f.split(",");d=parseInt(d);this.setDef(e,["xArrow",d,parseInt(f[0]),parseInt(f[1])])}});MathJax.Hub.Startup.signal.Post("TeX extpfeil Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/extpfeil.js");
diff --git a/extensions/TeX/mathchoice.js b/extensions/TeX/mathchoice.js
index dcc08a9e95..37bd538754 100644
--- a/extensions/TeX/mathchoice.js
+++ b/extensions/TeX/mathchoice.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/mathchoice.js
+ *  /MathJax-v2/extensions/TeX/mathchoice.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.Add({macros:{mathchoice:"MathChoice"}},null,true);d.Parse.Augment({MathChoice:function(f){var i=this.ParseArg(f),e=this.ParseArg(f),g=this.ParseArg(f),h=this.ParseArg(f);this.Push(a.TeXmathchoice(i,e,g,h))}});a.TeXmathchoice=a.mbase.Subclass({type:"TeXmathchoice",notParent:true,choice:function(){if(this.selection!=null){return this.selection}if(this.choosing){return 2}this.choosing=true;var f=0,e=this.getValues("displaystyle","scriptlevel");if(e.scriptlevel>0){f=Math.min(3,e.scriptlevel+1)}else{f=(e.displaystyle?0:1)}var g=this.inherit;while(g&&g.type!=="math"){g=g.inherit}if(g){this.selection=f}this.choosing=false;return f},selected:function(){return this.data[this.choice()]},setTeXclass:function(e){return this.selected().setTeXclass(e)},isSpacelike:function(){return this.selected().isSpacelike()},isEmbellished:function(){return this.selected().isEmbellished()},Core:function(){return this.selected()},CoreMO:function(){return this.selected().CoreMO()},toHTML:function(e){e=this.HTMLcreateSpan(e);e.bbox=this.Core().toHTML(e).bbox;if(e.firstChild&&e.firstChild.style.marginLeft){e.style.marginLeft=e.firstChild.style.marginLeft;e.firstChild.style.marginLeft=""}return e},toSVG:function(){var e=this.Core().toSVG();this.SVGsaveData(e);return e},toCommonHTML:function(e){e=this.CHTMLcreateNode(e);this.CHTMLhandleStyle(e);this.CHTMLhandleColor(e);this.CHTMLaddChild(e,this.choice(),{});return e},toPreviewHTML:function(e){e=this.PHTMLcreateSpan(e);this.PHTMLhandleStyle(e);this.PHTMLhandleColor(e);this.PHTMLaddChild(e,this.choice(),{});return e}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js");
+MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var b=d.Definitions;b.Add({macros:{mathchoice:"MathChoice"}},null,true);d.Parse.Augment({MathChoice:function(f){var i=this.ParseArg(f),e=this.ParseArg(f),g=this.ParseArg(f),h=this.ParseArg(f);this.Push(a.TeXmathchoice(i,e,g,h))}});a.TeXmathchoice=a.mbase.Subclass({type:"TeXmathchoice",notParent:true,choice:function(){if(this.selection!=null){return this.selection}if(this.choosing){return 2}this.choosing=true;var f=0,e=this.getValues("displaystyle","scriptlevel");if(e.scriptlevel>0){f=Math.min(3,e.scriptlevel+1)}else{f=(e.displaystyle?0:1)}var g=this.inherit;while(g&&g.type!=="math"){g=g.inherit}if(g){this.selection=f}this.choosing=false;return f},selected:function(){return this.data[this.choice()]},setTeXclass:function(e){return this.selected().setTeXclass(e)},isSpacelike:function(){return this.selected().isSpacelike()},isEmbellished:function(){return this.selected().isEmbellished()},Core:function(){return this.selected()},CoreMO:function(){return this.selected().CoreMO()},toHTML:function(e){e=this.HTMLcreateSpan(e);e.bbox=this.Core().toHTML(e).bbox;if(e.firstChild&&e.firstChild.style.marginLeft){e.style.marginLeft=e.firstChild.style.marginLeft;e.firstChild.style.marginLeft=""}return e},toSVG:function(){var e=this.Core().toSVG();this.SVGsaveData(e);return e},toCommonHTML:function(e){e=this.CHTMLcreateNode(e);this.CHTMLhandleStyle(e);this.CHTMLhandleColor(e);this.CHTMLaddChild(e,this.choice(),{});return e},toPreviewHTML:function(e){e=this.PHTMLcreateSpan(e);this.PHTMLhandleStyle(e);this.PHTMLhandleColor(e);this.PHTMLaddChild(e,this.choice(),{});return e}});MathJax.Hub.Startup.signal.Post("TeX mathchoice Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mathchoice.js");
diff --git a/extensions/TeX/mediawiki-texvc.js b/extensions/TeX/mediawiki-texvc.js
index bad2797fac..7d5345beff 100644
--- a/extensions/TeX/mediawiki-texvc.js
+++ b/extensions/TeX/mediawiki-texvc.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/mediawiki-texvc.js
+ *  /MathJax-v2/extensions/TeX/mediawiki-texvc.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/mediawiki-texvc"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Definitions.Add({macros:{AA:["Macro","\u00c5"],alef:["Macro","\\aleph"],alefsym:["Macro","\\aleph"],Alpha:["Macro","\\mathrm{A}"],and:["Macro","\\land"],ang:["Macro","\\angle"],Bbb:["Macro","\\mathbb"],Beta:["Macro","\\mathrm{B}"],bold:["Macro","\\mathbf"],bull:["Macro","\\bullet"],C:["Macro","\\mathbb{C}"],Chi:["Macro","\\mathrm{X}"],clubs:["Macro","\\clubsuit"],cnums:["Macro","\\mathbb{C}"],Complex:["Macro","\\mathbb{C}"],coppa:["Macro","\u03D9"],Coppa:["Macro","\u03D8"],Dagger:["Macro","\\ddagger"],Digamma:["Macro","\u03DC"],darr:["Macro","\\downarrow"],dArr:["Macro","\\Downarrow"],Darr:["Macro","\\Downarrow"],dashint:["Macro","\\unicodeInt{x2A0D}"],ddashint:["Macro","\\unicodeInt{x2A0E}"],diamonds:["Macro","\\diamondsuit"],empty:["Macro","\\emptyset"],Epsilon:["Macro","\\mathrm{E}"],Eta:["Macro","\\mathrm{H}"],euro:["Macro","\u20AC"],exist:["Macro","\\exists"],geneuro:["Macro","\u20AC"],geneuronarrow:["Macro","\u20AC"],geneurowide:["Macro","\u20AC"],H:["Macro","\\mathbb{H}"],hAar:["Macro","\\Leftrightarrow"],harr:["Macro","\\leftrightarrow"],Harr:["Macro","\\Leftrightarrow"],hearts:["Macro","\\heartsuit"],image:["Macro","\\Im"],infin:["Macro","\\infty"],Iota:["Macro","\\mathrm{I}"],isin:["Macro","\\in"],Kappa:["Macro","\\mathrm{K}"],koppa:["Macro","\u03DF"],Koppa:["Macro","\u03DE"],lang:["Macro","\\langle"],larr:["Macro","\\leftarrow"],Larr:["Macro","\\Leftarrow"],lArr:["Macro","\\Leftarrow"],lrarr:["Macro","\\leftrightarrow"],Lrarr:["Macro","\\Leftrightarrow"],lrArr:["Macro","\\Leftrightarrow"],Mu:["Macro","\\mathrm{M}"],N:["Macro","\\mathbb{N}"],natnums:["Macro","\\mathbb{N}"],Nu:["Macro","\\mathrm{N}"],O:["Macro","\\emptyset"],oint:["Macro","\\unicodeInt{x222E}"],oiint:["Macro","\\unicodeInt{x222F}"],oiiint:["Macro","\\unicodeInt{x2230}"],ointctrclockwise:["Macro","\\unicodeInt{x2233}"],officialeuro:["Macro","\u20AC"],Omicron:["Macro","\\mathrm{O}"],or:["Macro","\\lor"],P:["Macro","\u00B6"],pagecolor:["Macro","",1],part:["Macro","\\partial"],plusmn:["Macro","\\pm"],Q:["Macro","\\mathbb{Q}"],R:["Macro","\\mathbb{R}"],rang:["Macro","\\rangle"],rarr:["Macro","\\rightarrow"],Rarr:["Macro","\\Rightarrow"],rArr:["Macro","\\Rightarrow"],real:["Macro","\\Re"],reals:["Macro","\\mathbb{R}"],Reals:["Macro","\\mathbb{R}"],Rho:["Macro","\\mathrm{P}"],sdot:["Macro","\\cdot"],sampi:["Macro","\u03E1"],Sampi:["Macro","\u03E0"],sect:["Macro","\\S"],spades:["Macro","\\spadesuit"],stigma:["Macro","\u03DB"],Stigma:["Macro","\u03DA"],sub:["Macro","\\subset"],sube:["Macro","\\subseteq"],supe:["Macro","\\supseteq"],Tau:["Macro","\\mathrm{T}"],textvisiblespace:["Macro","\u2423"],thetasym:["Macro","\\vartheta"],uarr:["Macro","\\uparrow"],uArr:["Macro","\\Uparrow"],Uarr:["Macro","\\Uparrow"],unicodeInt:["Macro","\\mathop{\\vcenter{\\mathchoice{\\huge\\unicode{#1}\\,}{\\unicode{#1}}{\\unicode{#1}}{\\unicode{#1}}}\\,}\\nolimits",1],varcoppa:["Macro","\u03D9"],varstigma:["Macro","\u03DB"],varointclockwise:["Macro","\\unicodeInt{x2232}"],vline:["Macro","\\smash{\\large\\lvert}",0],weierp:["Macro","\\wp"],Z:["Macro","\\mathbb{Z}"],Zeta:["Macro","\\mathrm{Z}"]}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mediawiki-texvc.js");
+MathJax.Extension["TeX/mediawiki-texvc"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){MathJax.InputJax.TeX.Definitions.Add({macros:{AA:["Macro","\u00c5"],alef:["Macro","\\aleph"],alefsym:["Macro","\\aleph"],Alpha:["Macro","\\mathrm{A}"],and:["Macro","\\land"],ang:["Macro","\\angle"],Bbb:["Macro","\\mathbb"],Beta:["Macro","\\mathrm{B}"],bold:["Macro","\\mathbf"],bull:["Macro","\\bullet"],C:["Macro","\\mathbb{C}"],Chi:["Macro","\\mathrm{X}"],clubs:["Macro","\\clubsuit"],cnums:["Macro","\\mathbb{C}"],Complex:["Macro","\\mathbb{C}"],coppa:["Macro","\u03D9"],Coppa:["Macro","\u03D8"],Dagger:["Macro","\\ddagger"],Digamma:["Macro","\u03DC"],darr:["Macro","\\downarrow"],dArr:["Macro","\\Downarrow"],Darr:["Macro","\\Downarrow"],dashint:["Macro","\\unicodeInt{x2A0D}"],ddashint:["Macro","\\unicodeInt{x2A0E}"],diamonds:["Macro","\\diamondsuit"],empty:["Macro","\\emptyset"],Epsilon:["Macro","\\mathrm{E}"],Eta:["Macro","\\mathrm{H}"],euro:["Macro","\u20AC"],exist:["Macro","\\exists"],geneuro:["Macro","\u20AC"],geneuronarrow:["Macro","\u20AC"],geneurowide:["Macro","\u20AC"],H:["Macro","\\mathbb{H}"],hAar:["Macro","\\Leftrightarrow"],harr:["Macro","\\leftrightarrow"],Harr:["Macro","\\Leftrightarrow"],hearts:["Macro","\\heartsuit"],image:["Macro","\\Im"],infin:["Macro","\\infty"],Iota:["Macro","\\mathrm{I}"],isin:["Macro","\\in"],Kappa:["Macro","\\mathrm{K}"],koppa:["Macro","\u03DF"],Koppa:["Macro","\u03DE"],lang:["Macro","\\langle"],larr:["Macro","\\leftarrow"],Larr:["Macro","\\Leftarrow"],lArr:["Macro","\\Leftarrow"],lrarr:["Macro","\\leftrightarrow"],Lrarr:["Macro","\\Leftrightarrow"],lrArr:["Macro","\\Leftrightarrow"],Mu:["Macro","\\mathrm{M}"],N:["Macro","\\mathbb{N}"],natnums:["Macro","\\mathbb{N}"],Nu:["Macro","\\mathrm{N}"],O:["Macro","\\emptyset"],oiint:["Macro","\\unicodeInt{x222F}"],oiiint:["Macro","\\unicodeInt{x2230}"],ointctrclockwise:["Macro","\\unicodeInt{x2233}"],officialeuro:["Macro","\u20AC"],Omicron:["Macro","\\mathrm{O}"],or:["Macro","\\lor"],P:["Macro","\u00B6"],pagecolor:["Macro","",1],part:["Macro","\\partial"],plusmn:["Macro","\\pm"],Q:["Macro","\\mathbb{Q}"],R:["Macro","\\mathbb{R}"],rang:["Macro","\\rangle"],rarr:["Macro","\\rightarrow"],Rarr:["Macro","\\Rightarrow"],rArr:["Macro","\\Rightarrow"],real:["Macro","\\Re"],reals:["Macro","\\mathbb{R}"],Reals:["Macro","\\mathbb{R}"],Rho:["Macro","\\mathrm{P}"],sdot:["Macro","\\cdot"],sampi:["Macro","\u03E1"],Sampi:["Macro","\u03E0"],sect:["Macro","\\S"],spades:["Macro","\\spadesuit"],stigma:["Macro","\u03DB"],Stigma:["Macro","\u03DA"],sub:["Macro","\\subset"],sube:["Macro","\\subseteq"],supe:["Macro","\\supseteq"],Tau:["Macro","\\mathrm{T}"],textvisiblespace:["Macro","\u2423"],thetasym:["Macro","\\vartheta"],uarr:["Macro","\\uparrow"],uArr:["Macro","\\Uparrow"],Uarr:["Macro","\\Uparrow"],unicodeInt:["Macro","\\mathop{\\vcenter{\\mathchoice{\\huge\\unicode{#1}\\,}{\\unicode{#1}}{\\unicode{#1}}{\\unicode{#1}}}\\,}\\nolimits",1],varcoppa:["Macro","\u03D9"],varstigma:["Macro","\u03DB"],varointclockwise:["Macro","\\unicodeInt{x2232}"],vline:["Macro","\\smash{\\large\\lvert}",0],weierp:["Macro","\\wp"],Z:["Macro","\\mathbb{Z}"],Zeta:["Macro","\\mathrm{Z}"]}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mediawiki-texvc.js");
diff --git a/extensions/TeX/mhchem.js b/extensions/TeX/mhchem.js
index 7901f0e5c6..c778e34f1c 100644
--- a/extensions/TeX/mhchem.js
+++ b/extensions/TeX/mhchem.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/mhchem.js
+ *  /MathJax-v2/extensions/TeX/mhchem.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-if(MathJax.Extension["TeX/mhchem"]){MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mhchem.js")}else{MathJax.Extension["TeX/mhchem"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.mhchem",{legacy:true})};if(!MathJax.Extension["TeX/mhchem"].config.legacy){if(!MathJax.Ajax.config.path.mhchem){MathJax.Ajax.config.path.mhchem=MathJax.Hub.config.root+"/extensions/TeX/mhchem3"}MathJax.Callback.Queue(["Require",MathJax.Ajax,"[mhchem]/mhchem.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/TeX/mhchem.js"])}else{MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=MathJax.Object.Subclass({string:"",i:0,tex:"",TEX:"",atom:false,sup:"",sub:"",presup:"",presub:"",Init:function(c){this.string=c},ParseTable:{"-":"Minus","+":"Plus","(":"Open",")":"Close","[":"Open","]":"Close","<":"Less","^":"Superscript",_:"Subscript","*":"Dot",".":"Dot","=":"Equal","#":"Pound","$":"Math","\\":"Macro"," ":"Space"},Arrows:{"->":"rightarrow","<-":"leftarrow","<->":"leftrightarrow","<=>":"rightleftharpoons","<=>>":"Rightleftharpoons","<<=>":"Leftrightharpoons","^":"uparrow",v:"downarrow"},Bonds:{"-":"-","=":"=","#":"\\equiv","~":"\\tripledash","~-":"\\begin{CEstack}{}\\tripledash\\\\-\\end{CEstack}","~=":"\\raise2mu{\\begin{CEstack}{}\\tripledash\\\\-\\\\-\\end{CEstack}}","~--":"\\raise2mu{\\begin{CEstack}{}\\tripledash\\\\-\\\\-\\end{CEstack}}","-~-":"\\raise2mu{\\begin{CEstack}{}-\\\\\\tripledash\\\\-\\end{CEstack}}","...":"{\\cdot}{\\cdot}{\\cdot}","....":"{\\cdot}{\\cdot}{\\cdot}{\\cdot}","->":"\\rightarrow","<-":"\\leftarrow","??":"\\text{??}"},Parse:function(){this.tex="";this.atom=false;while(this.i<this.string.length){var d=this.string.charAt(this.i);if(d.match(/[a-z]/i)){this.ParseLetter()}else{if(d.match(/[0-9]/)){this.ParseNumber()}else{this["Parse"+(this.ParseTable[d]||"Other")](d)}}}this.FinishAtom(true);return this.TEX},ParseLetter:function(){this.FinishAtom();if(this.Match(/^v( |$)/)){this.tex+="{\\"+this.Arrows.v+"}"}else{this.tex+="\\text{"+this.Match(/^[a-z]+/i)+"}";this.atom=true}},ParseNumber:function(){var e=this.Match(/^\d+/);if(this.atom&&!this.sub){this.sub=e}else{this.FinishAtom();var d=this.Match(/^\/\d+/);if(d){var c="\\frac{"+e+"}{"+d.substr(1)+"}";this.tex+="\\mathchoice{\\textstyle"+c+"}{"+c+"}{"+c+"}{"+c+"}"}else{this.tex+=e;if(this.i<this.string.length){this.tex+="\\,"}}}},ParseMinus:function(d){if(this.atom&&(this.i===this.string.length-1||this.string.charAt(this.i+1)===" ")){this.sup+=d}else{this.FinishAtom();if(this.string.substr(this.i,2)==="->"){this.i+=2;this.AddArrow("->");return}else{this.tex+="{-}"}}this.i++},ParsePlus:function(d){if(this.atom){this.sup+=d}else{this.FinishAtom();this.tex+=d}this.i++},ParseDot:function(d){this.FinishAtom();this.tex+="\\cdot ";this.i++},ParseEqual:function(d){this.FinishAtom();this.tex+="{=}";this.i++},ParsePound:function(d){this.FinishAtom();this.tex+="{\\equiv}";this.i++},ParseOpen:function(e){this.FinishAtom();var d=this.Match(/^\([v^]\)/);if(d){this.tex+="{\\"+this.Arrows[d.charAt(1)]+"}"}else{this.tex+="{"+e;this.i++}},ParseClose:function(d){this.FinishAtom();this.atom=true;this.tex+=d+"}";this.i++},ParseLess:function(e){this.FinishAtom();var d=this.Match(/^(<->?|<=>>?|<<=>)/);if(!d){this.tex+=e;this.i++}else{this.AddArrow(d)}},ParseSuperscript:function(f){f=this.string.charAt(++this.i);if(f==="{"){this.i++;var d=this.Find("}");if(d==="-."){this.sup+="{-}{\\cdot}"}else{if(d){this.sup+=a(d).Parse().replace(/^\{-\}/,"-")}}}else{if(f===" "||f===""){this.tex+="{\\"+this.Arrows["^"]+"}";this.i++}else{var e=this.Match(/^(\d+|-\.)/);if(e){this.sup+=e}}}},ParseSubscript:function(e){if(this.string.charAt(++this.i)=="{"){this.i++;this.sub+=a(this.Find("}")).Parse().replace(/^\{-\}/,"-")}else{var d=this.Match(/^\d+/);if(d){this.sub+=d}}},ParseMath:function(d){this.FinishAtom();this.i++;this.tex+=this.Find(d)},ParseMacro:function(f){this.FinishAtom();this.i++;var d=this.Match(/^([a-z]+|.)/i)||" ";if(d==="sbond"){this.tex+="{-}"}else{if(d==="dbond"){this.tex+="{=}"}else{if(d==="tbond"){this.tex+="{\\equiv}"}else{if(d==="bond"){var e=(this.Match(/^\{.*?\}/)||"");e=e.substr(1,e.length-2);this.tex+="{"+(this.Bonds[e]||"\\text{??}")+"}"}else{if(d==="{"){this.tex+="{\\{"}else{if(d==="}"){this.tex+="\\}}";this.atom=true}else{this.tex+=f+d}}}}}}},ParseSpace:function(d){this.FinishAtom();this.i++},ParseOther:function(d){this.FinishAtom();this.tex+=d;this.i++},AddArrow:function(e){var g=this.Match(/^[CT]\[/);if(g){this.i--;g=g.charAt(0)}var d=this.GetBracket(g),f=this.GetBracket(g);e=this.Arrows[e];if(d||f){if(f){e+="["+f+"]"}e+="{"+d+"}";e="\\mathrel{\\x"+e+"}"}else{e="\\long"+e+" "}this.tex+=e},FinishAtom:function(c){if(this.sup||this.sub||this.presup||this.presub){if(!c&&!this.atom){if(this.tex===""&&!this.sup&&!this.sub){return}if(!this.presup&&!this.presub&&(this.tex===""||this.tex==="{"||(this.tex==="}"&&this.TEX.substr(-1)==="{"))){this.presup=this.sup,this.presub=this.sub;this.sub=this.sup="";this.TEX+=this.tex;this.tex="";return}}if(this.sub&&!this.sup){this.sup="\\Space{0pt}{0pt}{.2em}"}if((this.presup||this.presub)&&this.tex!=="{"){if(!this.presup&&!this.sup){this.presup="\\Space{0pt}{0pt}{.2em}"}this.tex="\\CEprescripts{"+(this.presub||"\\CEnone")+"}{"+(this.presup||"\\CEnone")+"}{"+(this.tex!=="}"?this.tex:"")+"}{"+(this.sub||"\\CEnone")+"}{"+(this.sup||"\\CEnone")+"}"+(this.tex==="}"?"}":"");this.presub=this.presup=""}else{if(this.sup){this.tex+="^{"+this.sup+"}"}if(this.sub){this.tex+="_{"+this.sub+"}"}}this.sup=this.sub=""}this.TEX+=this.tex;this.tex="";this.atom=false},GetBracket:function(e){if(this.string.charAt(this.i)!=="["){return""}this.i++;var d=this.Find("]");if(e==="C"){d="\\ce{"+d+"}"}else{if(e==="T"){if(!d.match(/^\{.*\}$/)){d="{"+d+"}"}d="\\text"+d}}return d},Match:function(d){var c=d.exec(this.string.substr(this.i));if(c){c=c[0];this.i+=c.length}return c},Find:function(h){var d=this.string.length,e=this.i,g=0;while(this.i<d){var f=this.string.charAt(this.i++);if(f===h&&g===0){return this.string.substr(e,this.i-e-1)}if(f==="{"){g++}else{if(f==="}"){if(g){g--}else{b.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}}}}if(g){b.Error(["MissingCloseBrace","Missing close brace"])}b.Error(["NoClosingChar","Can't find closing %1",h])}});MathJax.Extension["TeX/mhchem"].CE=a;b.Definitions.Add({macros:{ce:"CE",cf:"CE",cee:"CE",xleftrightarrow:["Extension","AMSmath"],xrightleftharpoons:["Extension","AMSmath"],xRightleftharpoons:["Extension","AMSmath"],xLeftrightharpoons:["Extension","AMSmath"],longrightleftharpoons:["Macro","\\stackrel{\\textstyle{{-}\\!\\!{\\rightharpoonup}}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],longRightleftharpoons:["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\small\\smash\\leftharpoondown}"],longLeftrightharpoons:["Macro","\\stackrel{\\rightharpoonup}{{{\\leftharpoondown}\\!\\!\\textstyle{-}}}"],hyphen:["Macro","\\text{-}"],CEprescripts:"CEprescripts",CEnone:"CEnone",tripledash:["Macro","\\raise3mu{\\tiny\\text{-}\\kern2mu\\text{-}\\kern2mu\\text{-}}"]},environment:{CEstack:["Array",null,null,null,"r",null,"0.001em","T",1]}},null,true);if(!MathJax.Extension["TeX/AMSmath"]){b.Definitions.Add({macros:{xrightarrow:["Extension","AMSmath"],xleftarrow:["Extension","AMSmath"]}},null,true)}MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){b.Definitions.Add({macros:{xleftrightarrow:["xArrow",8596,6,6],xrightleftharpoons:["xArrow",8652,5,7],xRightleftharpoons:["xArrow",8652,5,7],xLeftrightharpoons:["xArrow",8652,5,7]}},null,true)});b.Parse.Augment({CE:function(e){var c=this.GetArgument(e);var d=a(c).Parse();this.string=d+this.string.substr(this.i);this.i=0},CEprescripts:function(f){var d=this.ParseArg(f),i=this.ParseArg(f),h=this.ParseArg(f),g=this.ParseArg(f),e=this.ParseArg(f);var c=MathJax.ElementJax.mml;this.Push(c.mmultiscripts(h,g,e,c.mprescripts(),d,i))},CEnone:function(c){this.Push(MathJax.ElementJax.mml.none())}});MathJax.Hub.Startup.signal.Post("TeX mhchem Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mhchem.js")}};
+if(MathJax.Extension["TeX/mhchem"]){MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mhchem.js")}else{MathJax.Extension["TeX/mhchem"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.mhchem",{legacy:true})};if(!MathJax.Extension["TeX/mhchem"].config.legacy){if(!MathJax.Ajax.config.path.mhchem){MathJax.Ajax.config.path.mhchem=MathJax.Hub.config.root+"/extensions/TeX/mhchem3"}MathJax.Callback.Queue(["Require",MathJax.Ajax,"[mhchem]/mhchem.js"],["loadComplete",MathJax.Ajax,"[MathJax]/extensions/TeX/mhchem.js"])}else{MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=MathJax.Object.Subclass({string:"",i:0,tex:"",TEX:"",atom:false,sup:"",sub:"",presup:"",presub:"",Init:function(c){this.string=c},ParseTable:{"-":"Minus","+":"Plus","(":"Open",")":"Close","[":"Open","]":"Close","<":"Less","^":"Superscript",_:"Subscript","*":"Dot",".":"Dot","=":"Equal","#":"Pound","$":"Math","\\":"Macro"," ":"Space"},Arrows:{"->":"rightarrow","<-":"leftarrow","<->":"leftrightarrow","<=>":"rightleftharpoons","<=>>":"Rightleftharpoons","<<=>":"Leftrightharpoons","^":"uparrow",v:"downarrow"},Bonds:{"-":"-","=":"=","#":"\\equiv","~":"\\tripledash","~-":"\\begin{CEstack}{}\\tripledash\\\\-\\end{CEstack}","~=":"\\raise2mu{\\begin{CEstack}{}\\tripledash\\\\-\\\\-\\end{CEstack}}","~--":"\\raise2mu{\\begin{CEstack}{}\\tripledash\\\\-\\\\-\\end{CEstack}}","-~-":"\\raise2mu{\\begin{CEstack}{}-\\\\\\tripledash\\\\-\\end{CEstack}}","...":"{\\cdot}{\\cdot}{\\cdot}","....":"{\\cdot}{\\cdot}{\\cdot}{\\cdot}","->":"\\rightarrow","<-":"\\leftarrow","??":"\\text{??}"},Parse:function(){this.tex="";this.atom=false;while(this.i<this.string.length){var d=this.string.charAt(this.i);if(d.match(/[a-z]/i)){this.ParseLetter()}else{if(d.match(/[0-9]/)){this.ParseNumber()}else{this["Parse"+(this.ParseTable[d]||"Other")](d)}}}this.FinishAtom(true);return this.TEX},ParseLetter:function(){this.FinishAtom();if(this.Match(/^v( |$)/)){this.tex+="{\\"+this.Arrows.v+"}"}else{this.tex+="\\text{"+this.Match(/^[a-z]+/i)+"}";this.atom=true}},ParseNumber:function(){var e=this.Match(/^\d+/);if(this.atom&&!this.sub){this.sub=e}else{this.FinishAtom();var d=this.Match(/^\/\d+/);if(d){var c="\\frac{"+e+"}{"+d.substr(1)+"}";this.tex+="\\mathchoice{\\textstyle"+c+"}{"+c+"}{"+c+"}{"+c+"}"}else{this.tex+=e;if(this.i<this.string.length){this.tex+="\\,"}}}},ParseMinus:function(d){if(this.atom&&(this.i===this.string.length-1||this.string.charAt(this.i+1)===" ")){this.sup+=d}else{this.FinishAtom();if(this.string.substr(this.i,2)==="->"){this.i+=2;this.AddArrow("->");return}else{this.tex+="{-}"}}this.i++},ParsePlus:function(d){if(this.atom){this.sup+=d}else{this.FinishAtom();this.tex+=d}this.i++},ParseDot:function(d){this.FinishAtom();this.tex+="\\cdot ";this.i++},ParseEqual:function(d){this.FinishAtom();this.tex+="{=}";this.i++},ParsePound:function(d){this.FinishAtom();this.tex+="{\\equiv}";this.i++},ParseOpen:function(e){this.FinishAtom();var d=this.Match(/^\([v^]\)/);if(d){this.tex+="{\\"+this.Arrows[d.charAt(1)]+"}"}else{this.tex+="{"+e;this.i++}},ParseClose:function(d){this.FinishAtom();this.atom=true;this.tex+=d+"}";this.i++},ParseLess:function(e){this.FinishAtom();var d=this.Match(/^(<->?|<=>>?|<<=>)/);if(!d){this.tex+=e;this.i++}else{this.AddArrow(d)}},ParseSuperscript:function(f){f=this.string.charAt(++this.i);if(f==="{"){this.i++;var d=this.Find("}");if(d==="-."){this.sup+="{-}{\\cdot}"}else{if(d){this.sup+=a(d).Parse().replace(/^\{-\}/,"-")}}}else{if(f===" "||f===""){this.tex+="{\\"+this.Arrows["^"]+"}";this.i++}else{var e=this.Match(/^(\d+|-\.)/);if(e){this.sup+=e}}}},ParseSubscript:function(e){if(this.string.charAt(++this.i)=="{"){this.i++;this.sub+=a(this.Find("}")).Parse().replace(/^\{-\}/,"-")}else{var d=this.Match(/^\d+/);if(d){this.sub+=d}}},ParseMath:function(d){this.FinishAtom();this.i++;this.tex+=this.Find(d)},ParseMacro:function(f){this.FinishAtom();this.i++;var d=this.Match(/^([a-z]+|.)/i)||" ";if(d==="sbond"){this.tex+="{-}"}else{if(d==="dbond"){this.tex+="{=}"}else{if(d==="tbond"){this.tex+="{\\equiv}"}else{if(d==="bond"){var e=(this.Match(/^\{.*?\}/)||"");e=e.substr(1,e.length-2);this.tex+="{"+(this.Bonds[e]||"\\text{??}")+"}"}else{if(d==="{"){this.tex+="{\\{"}else{if(d==="}"){this.tex+="\\}}";this.atom=true}else{this.tex+=f+d}}}}}}},ParseSpace:function(d){this.FinishAtom();this.i++},ParseOther:function(d){this.FinishAtom();this.tex+=d;this.i++},AddArrow:function(e){var g=this.Match(/^[CT]\[/);if(g){this.i--;g=g.charAt(0)}var d=this.GetBracket(g),f=this.GetBracket(g);e=this.Arrows[e];if(d||f){if(f){e+="["+f+"]"}e+="{"+d+"}";e="\\mathrel{\\x"+e+"}"}else{e="\\long"+e+" "}this.tex+=e},FinishAtom:function(c){if(this.sup||this.sub||this.presup||this.presub){if(!c&&!this.atom){if(this.tex===""&&!this.sup&&!this.sub){return}if(!this.presup&&!this.presub&&(this.tex===""||this.tex==="{"||(this.tex==="}"&&this.TEX.substr(-1)==="{"))){this.presup=this.sup,this.presub=this.sub;this.sub=this.sup="";this.TEX+=this.tex;this.tex="";return}}if(this.sub&&!this.sup){this.sup="\\Space{0pt}{0pt}{.2em}"}if((this.presup||this.presub)&&this.tex!=="{"){if(!this.presup&&!this.sup){this.presup="\\Space{0pt}{0pt}{.2em}"}this.tex="\\CEprescripts{"+(this.presub||"\\CEnone")+"}{"+(this.presup||"\\CEnone")+"}{"+(this.tex!=="}"?this.tex:"")+"}{"+(this.sub||"\\CEnone")+"}{"+(this.sup||"\\CEnone")+"}"+(this.tex==="}"?"}":"");this.presub=this.presup=""}else{if(this.sup){this.tex+="^{"+this.sup+"}"}if(this.sub){this.tex+="_{"+this.sub+"}"}}this.sup=this.sub=""}this.TEX+=this.tex;this.tex="";this.atom=false},GetBracket:function(e){if(this.string.charAt(this.i)!=="["){return""}this.i++;var d=this.Find("]");if(e==="C"){d="\\ce{"+d+"}"}else{if(e==="T"){if(!d.match(/^\{.*\}$/)){d="{"+d+"}"}d="\\text"+d}}return d},Match:function(d){var c=d.exec(this.string.substr(this.i));if(c){c=c[0];this.i+=c.length}return c},Find:function(h){var d=this.string.length,e=this.i,g=0;while(this.i<d){var f=this.string.charAt(this.i++);if(f===h&&g===0){return this.string.substr(e,this.i-e-1)}if(f==="{"){g++}else{if(f==="}"){if(g){g--}else{b.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}}}}if(g){b.Error(["MissingCloseBrace","Missing close brace"])}b.Error(["NoClosingChar","Can't find closing %1",h])}});MathJax.Extension["TeX/mhchem"].CE=a;b.Definitions.Add({macros:{ce:"CE",cf:"CE",cee:"CE",xleftrightarrow:["Extension","AMSmath"],xrightleftharpoons:["Extension","AMSmath"],xRightleftharpoons:["Extension","AMSmath"],xLeftrightharpoons:["Extension","AMSmath"],longrightleftharpoons:["Macro","\\stackrel{\\textstyle{{-}\\!\\!{\\rightharpoonup}}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],longRightleftharpoons:["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\small\\smash\\leftharpoondown}"],longLeftrightharpoons:["Macro","\\stackrel{\\rightharpoonup}{{{\\leftharpoondown}\\!\\!\\textstyle{-}}}"],hyphen:["Macro","\\text{-}"],CEprescripts:"CEprescripts",CEnone:"CEnone",tripledash:["Macro","\\raise3mu{\\tiny\\text{-}\\kern2mu\\text{-}\\kern2mu\\text{-}}"]},environment:{CEstack:["Array",null,null,null,"r",null,"0.001em","T",1]}},null,true);if(!MathJax.Extension["TeX/AMSmath"]){b.Definitions.Add({macros:{xrightarrow:["Extension","AMSmath"],xleftarrow:["Extension","AMSmath"]}},null,true)}MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){b.Definitions.Add({macros:{xleftrightarrow:["xArrow",8596,6,6],xrightleftharpoons:["xArrow",8652,5,7],xRightleftharpoons:["xArrow",8652,5,7],xLeftrightharpoons:["xArrow",8652,5,7]}},null,true)});b.Parse.Augment({CE:function(e){var c=this.GetArgument(e);var d=a(c).Parse();this.string=d+this.string.substr(this.i);this.i=0},CEprescripts:function(f){var d=this.ParseArg(f),i=this.ParseArg(f),h=this.ParseArg(f),g=this.ParseArg(f),e=this.ParseArg(f);var c=MathJax.ElementJax.mml;this.Push(c.mmultiscripts(h,g,e,c.mprescripts(),d,i))},CEnone:function(c){this.Push(MathJax.ElementJax.mml.none())}});MathJax.Hub.Startup.signal.Post("TeX mhchem Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/mhchem.js")}};
diff --git a/extensions/TeX/mhchem3/mhchem.js b/extensions/TeX/mhchem3/mhchem.js
index d980ec5145..f8dcafaa04 100644
--- a/extensions/TeX/mhchem3/mhchem.js
+++ b/extensions/TeX/mhchem3/mhchem.js
@@ -8,7 +8,7 @@
  *  ---------------------------------------------------------------------
  *
  *  Copyright (c) 2011-2015 The MathJax Consortium
- *  Copyright (c) 2015-2018 Martin Hensel
+ *  Copyright (c) 2015-2019 Martin Hensel
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,44 +22,44 @@
  *  See the License for the specific language governing permissions and
  *  limitations under the License.
  */
-MathJax.Extension["TeX/mhchem"]={version:"3.3.0"},MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var t=MathJax.InputJax.TeX,n=MathJax.Object.Subclass({string:"",
+MathJax.Extension["TeX/mhchem"]={version:"3.3.2"},MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var n=MathJax.InputJax.TeX,a=MathJax.Object.Subclass({string:"",
 Init:function(t){this.string=t},
-Parse:function(n){try{return a.go(e.go(this.string,n))}catch(n){t.Error(n)}}}),e={
-go:function(t,n){if(!t)return[];void 0===n&&(n="ce");var a,o="0",r={};r["@@"]=0,t=(t=(t=t.replace(/\n/g," ")).replace(/[\u2212\u2013\u2014\u2010]/g,"-")).replace(/[\u2026]/g,"...");for(var i=10,c=[];;){a!==t?(i=10,a=t):i--;var u=e.t[n],p=u.u[o]||u.u["*"];t:for(var s=0;s<p.length;s++){var _=e._.s(p[s].pattern,t);if(_){for(var f=p[s].task,h=0;h<f.h.length;h++){var x;if(u.m[f.h[h].l])x=u.m[f.h[h].l](r,_.s,f.h[h].S);else{if(!e.m[f.h[h].l])throw["MhchemBugA","mhchem bug A. Please report. ("+f.h[h].l+")"];x=e.m[f.h[h].l](r,_.s,f.h[h].S)}e.v(c,x)}if(o=f.g||o,!(t.length>0))return c;if(f.k||(t=_.$),!f.A)break t}}if(i<=0)throw["MhchemBugU","mhchem bug U. Please report."]}},
-v:function(t,n){if(n)if(Array.isArray(n))for(var e=0;e<n.length;e++)t.push(n[e]);else t.push(n)},_:{_:{"~z":/^$/,"~x":/^./,"~y":/^./,"%j":/^\s/,"%i":/^\s(?=[A-Z\\$])/,"`e":/^\s$/,"@X":/^[a-z]/,x:/^x/,x$:/^x$/,i$:/^i$/,"~J":/^(?:[a-zA-Z\u03B1-\u03C9\u0391-\u03A9?@]|(?:\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))))+/,"@A":/^\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))/,"~M":/^(?:([a-z])(?:$|[^a-zA-Z]))$/,"@a":/^\$(?:([a-z])(?:$|[^a-zA-Z]))\$$/,"~L":/^(?:\$?[\u03B1-\u03C9]\$?|\$?\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega)\s*\$?)(?:\s+|\{\}|(?![a-zA-Z]))$/,"~r":/^[0-9]+/,"@i":/^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/,"@h":/^[+\-]?[0-9]+(?:[.,][0-9]+)?/,
-"%Q":function(t){var n=t.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))?(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))\))?(?:([eE]|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/);return n&&n[0]?{s:n.splice(1),$:t.substr(n[0].length)}:null},
-"`a":function(t){var n=t.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/);return n&&n[0]?{s:n.splice(1),$:t.substr(n[0].length)}:null},
-"%k":function(t){var n=e._.M(t,"",/^\([a-z]{1,3}(?=[\),])/,")","");if(n&&n.$.match(/^($|[\s,;\)\]\}])/))return n;var a=t.match(/^(?:\((?:\\ca\s?)?\$[amothc]\$\))/);return a?{s:a[0],$:t.substr(a[0].length)}:null},"`~":/^_\{(\([a-z]{1,3}\))\}/,"@L":/^(?:\\\{|\[|\()/,"@d":/^(?:\)|\]|\\\})/,", ":/^[,;]\s*/,",":/^[,;]/,".":/^[.]/,". ":/^([.\u22C5\u00B7\u2022])\s*/,"@j":/^\.\.\.(?=$|[^.])/,"* ":/^([*])\s*/,
-"@Q":function(t){return e._.M(t,"^{","","","}")},
-"@M":function(t){return e._.M(t,"^","$","$","")},"^a":/^\^([0-9]+|[^\\_])/,
-"@P":function(t){return e._.M(t,"^",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},
-"@O":function(t){return e._.M(t,"^",/^\\[a-zA-Z]+\{/,"}","")},"^\\x":/^\^(\\[a-zA-Z]+)\s*/,"%R":/^\^(-?\d+)/,"'":/^'/,
-"@V":function(t){return e._.M(t,"_{","","","}")},
-"@R":function(t){return e._.M(t,"_","$","$","")},_9:/^_([+\-]?[0-9]+|[^\\])/,
-"@U":function(t){return e._.M(t,"_",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},
-"@T":function(t){return e._.M(t,"_",/^\\[a-zA-Z]+\{/,"}","")},"@S":/^_(\\[a-zA-Z]+)\s*/,"^_":/^(?:\^(?=_)|\_(?=\^)|[\^_]$)/,"{}":/^\{\}/,
-"%y":function(t){return e._.M(t,"","{","}","")},
-"%x":function(t){return e._.M(t,"{","","","}")},
-"@`":function(t){return e._.M(t,"","$","$","")},
-"@b":function(t){return e._.M(t,"${","","","}$")},
-"@%":function(t){return e._.M(t,"$","","","$")},"%A":/^[=<>]/,"#":/^[#\u2261]/,"+":/^\+/,"-$":/^-(?=[\s_},;\]/]|$|\([a-z]+\))/,"-9":/^-(?=[0-9])/,"@g":/^-(?=(?:[spd]|sp)(?:$|[\s,;\)\]\}]))/,"-":/^-/,"``":/^(?:\\pm|\$\\pm\$|\+-|\+\/-)/,"~N":/^(?:\+|(?:[\-=<>]|<<|>>|\\approx|\$\\approx\$)(?=\s|$|-?[0-9]))/,"~`":/^(?:v|\(v\)|\^|\(\^\))(?=$|[\s,;\)\]\}])/,
-"@s":function(t){return e._.M(t,"\\bond{","","","}")},"->":/^(?:<->|<-->|->|<-|<=>>|<<=>|<=>|[\u2192\u27F6\u21CC])/,"@n":/^[CMT](?=\[)/,
-"@p":function(t){return e._.M(t,"[","","","]")},"`c":/^(&|@r|\\hline)\s*/,"@q":/^(?:\\[,\ ;:])/,
-"@H":function(t){return e._.M(t,"",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},
-"@G":function(t){return e._.M(t,"",/^\\[a-zA-Z]+\{/,"}","")},"@u":/^\\ca(?:\s+|(?![a-zA-Z]))/,"@F":/^(?:\\[a-zA-Z]+\s*|\\[_&{}%])/,"~O":/^(?:[0-9]{1,2}[spdfgh]|[0-9]{0,2}sp)(?=$|[^a-zA-Z])/,"~P":/^[\/~|]/,
-"@z":function(t){return e._.M(t,"\\frac{","","","}","{","","","}")},
-"@B":function(t){return e._.M(t,"\\overset{","","","}","{","","","}")},
-"@D":function(t){return e._.M(t,"\\underset{","","","}","{","","","}")},
-"@C":function(t){return e._.M(t,"\\underbrace{","","","}_","{","","","}")},
-"@x":function(t){return e._.M(t,"\\color{","","","}")},
-"@y":function(t){return e._.M(t,"\\color{","","","}","{","","","}")},
-"@w":function(t){return e._.M(t,"\\color","\\","",/^(?=\{)/,"{","","","}")},
-"@v":function(t){return e._.M(t,"\\ce{","","","}")},"~W":/^(?:[+-][IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,"%Y":/^(?:[+-]?\s?[IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,"%a":/^[IVX]+/,"@k":/^[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+(?:\$[a-z]\$|[a-z])?$/,
-"~@":function(t){var n;if(n=t.match(/^(?:(?:(?:\([+\-]?[0-9]+\/[0-9]+\)|[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+|[+\-]?[0-9]+[.,][0-9]+|[+\-]?\.[0-9]+|[+\-]?[0-9]+)(?:[a-z](?=\s*[A-Z]))?)|[+\-]?[a-z](?=\s*[A-Z])|\+(?!\s))/))return{s:n[0],$:t.substr(n[0].length)};var a=e._.M(t,"","$","$","");return a&&(n=a.s.match(/^\$(?:\(?[+\-]?(?:[0-9]*[a-z]?[+\-])?[0-9]*[a-z](?:[+\-][0-9]*[a-z]?)?\)?|\+|-)\$$/))?{s:n[0],$:t.substr(n[0].length)}:null},
+Parse:function(t){try{return u.go(x.go(this.string,t))}catch(t){n.Error(t)}}}),x={
+go:function(t,n){if(!t)return[];void 0===n&&(n="ce");var e,a="0",o={};o["@@"]=0,t=(t=(t=t.replace(/\n/g," ")).replace(/[\u2212\u2013\u2014\u2010]/g,"-")).replace(/[\u2026]/g,"...");for(var r=10,i=[];;){e!==t?(r=10,e=t):r--;var c=x.t[n],u=c.u[a]||c.u["*"];t:for(var s=0;s<u.length;s++){var p=x._.s(u[s].pattern,t);if(p){for(var _=u[s].task,f=0;f<_.h.length;f++){var h;if(c.m[_.h[f].l])h=c.m[_.h[f].l](o,p.s,_.h[f].S);else{if(!x.m[_.h[f].l])throw["MhchemBugA","mhchem bug A. Please report. ("+_.h[f].l+")"];h=x.m[_.h[f].l](o,p.s,_.h[f].S)}x.v(i,h)}if(a=_.g||a,!(0<t.length))return i;if(_.k||(t=p.$),!_.A)break t}}if(r<=0)throw["MhchemBugU","mhchem bug U. Please report."]}},
+v:function(t,n){if(n)if("[object Array]"===Object.prototype.toString.call(n))for(var e=0;e<n.length;e++)t.push(n[e]);else t.push(n)},_:{_:{"~z":/^$/,"~x":/^./,"~y":/^./,"%j":/^\s/,"%i":/^\s(?=[A-Z\\$])/,"`e":/^\s$/,"@X":/^[a-z]/,x:/^x/,x$:/^x$/,i$:/^i$/,"~J":/^(?:[a-zA-Z\u03B1-\u03C9\u0391-\u03A9?@]|(?:\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))))+/,"@A":/^\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega|Gamma|Delta|Theta|Lambda|Xi|Pi|Sigma|Upsilon|Phi|Psi|Omega)(?:\s+|\{\}|(?![a-zA-Z]))/,"~M":/^(?:([a-z])(?:$|[^a-zA-Z]))$/,"@a":/^\$(?:([a-z])(?:$|[^a-zA-Z]))\$$/,"~L":/^(?:\$?[\u03B1-\u03C9]\$?|\$?\\(?:alpha|beta|gamma|delta|epsilon|zeta|eta|theta|iota|kappa|lambda|mu|nu|xi|omicron|pi|rho|sigma|tau|upsilon|phi|chi|psi|omega)\s*\$?)(?:\s+|\{\}|(?![a-zA-Z]))$/,"~r":/^[0-9]+/,"@i":/^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/,"@h":/^[+\-]?[0-9]+(?:[.,][0-9]+)?/,
+"%Q":function(t){var n=t.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))?(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))\))?(?:(?:([eE])|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/);return n&&n[0]?{s:n.slice(1),$:t.substr(n[0].length)}:null},
+"`a":function(t){var n=t.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/);return n&&n[0]?{s:n.slice(1),$:t.substr(n[0].length)}:null},
+"%k":function(t){var n=x._.M(t,"",/^\([a-z]{1,3}(?=[\),])/,")","");if(n&&n.$.match(/^($|[\s,;\)\]\}])/))return n;var e=t.match(/^(?:\((?:\\ca\s?)?\$[amothc]\$\))/);return e?{s:e[0],$:t.substr(e[0].length)}:null},"`~":/^_\{(\([a-z]{1,3}\))\}/,"@L":/^(?:\\\{|\[|\()/,"@d":/^(?:\)|\]|\\\})/,", ":/^[,;]\s*/,",":/^[,;]/,".":/^[.]/,". ":/^([.\u22C5\u00B7\u2022])\s*/,"@j":/^\.\.\.(?=$|[^.])/,"* ":/^([*])\s*/,
+"@Q":function(t){return x._.M(t,"^{","","","}")},
+"@M":function(t){return x._.M(t,"^","$","$","")},"^a":/^\^([0-9]+|[^\\_])/,
+"@P":function(t){return x._.M(t,"^",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},
+"@O":function(t){return x._.M(t,"^",/^\\[a-zA-Z]+\{/,"}","")},"^\\x":/^\^(\\[a-zA-Z]+)\s*/,"%R":/^\^(-?\d+)/,"'":/^'/,
+"@V":function(t){return x._.M(t,"_{","","","}")},
+"@R":function(t){return x._.M(t,"_","$","$","")},_9:/^_([+\-]?[0-9]+|[^\\])/,
+"@U":function(t){return x._.M(t,"_",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},
+"@T":function(t){return x._.M(t,"_",/^\\[a-zA-Z]+\{/,"}","")},"@S":/^_(\\[a-zA-Z]+)\s*/,"^_":/^(?:\^(?=_)|\_(?=\^)|[\^_]$)/,"{}":/^\{\}/,
+"%y":function(t){return x._.M(t,"","{","}","")},
+"%x":function(t){return x._.M(t,"{","","","}")},
+"@`":function(t){return x._.M(t,"","$","$","")},
+"@b":function(t){return x._.M(t,"${","","","}$")},
+"@%":function(t){return x._.M(t,"$","","","$")},"%A":/^[=<>]/,"#":/^[#\u2261]/,"+":/^\+/,"-$":/^-(?=[\s_},;\]/]|$|\([a-z]+\))/,"-9":/^-(?=[0-9])/,"@g":/^-(?=(?:[spd]|sp)(?:$|[\s,;\)\]\}]))/,"-":/^-/,"``":/^(?:\\pm|\$\\pm\$|\+-|\+\/-)/,"~N":/^(?:\+|(?:[\-=<>]|<<|>>|\\approx|\$\\approx\$)(?=\s|$|-?[0-9]))/,"~`":/^(?:v|\(v\)|\^|\(\^\))(?=$|[\s,;\)\]\}])/,
+"@s":function(t){return x._.M(t,"\\bond{","","","}")},"->":/^(?:<->|<-->|->|<-|<=>>|<<=>|<=>|[\u2192\u27F6\u21CC])/,"@n":/^[CMT](?=\[)/,
+"@p":function(t){return x._.M(t,"[","","","]")},"`c":/^(&|@r|\\hline)\s*/,"@q":/^(?:\\[,\ ;:])/,
+"@H":function(t){return x._.M(t,"",/^\\[a-zA-Z]+\{/,"}","","","{","}","",!0)},
+"@G":function(t){return x._.M(t,"",/^\\[a-zA-Z]+\{/,"}","")},"@u":/^\\ca(?:\s+|(?![a-zA-Z]))/,"@F":/^(?:\\[a-zA-Z]+\s*|\\[_&{}%])/,"~O":/^(?:[0-9]{1,2}[spdfgh]|[0-9]{0,2}sp)(?=$|[^a-zA-Z])/,"~P":/^[\/~|]/,
+"@z":function(t){return x._.M(t,"\\frac{","","","}","{","","","}")},
+"@B":function(t){return x._.M(t,"\\overset{","","","}","{","","","}")},
+"@D":function(t){return x._.M(t,"\\underset{","","","}","{","","","}")},
+"@C":function(t){return x._.M(t,"\\underbrace{","","","}_","{","","","}")},
+"@x":function(t){return x._.M(t,"\\color{","","","}")},
+"@y":function(t){return x._.M(t,"\\color{","","","}","{","","","}")},
+"@w":function(t){return x._.M(t,"\\color","\\","",/^(?=\{)/,"{","","","}")},
+"@v":function(t){return x._.M(t,"\\ce{","","","}")},"~W":/^(?:[+-][IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,"%Y":/^(?:[+-]?\s?[IVX]+|\\pm\s*0|\$\\pm\$\s*0)$/,"%a":/^[IVX]+/,"@k":/^[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+(?:\$[a-z]\$|[a-z])?$/,
+"~@":function(t){var n;if(n=t.match(/^(?:(?:(?:\([+\-]?[0-9]+\/[0-9]+\)|[+\-]?(?:[0-9]+|\$[a-z]\$|[a-z])\/[0-9]+|[+\-]?[0-9]+[.,][0-9]+|[+\-]?\.[0-9]+|[+\-]?[0-9]+)(?:[a-z](?=\s*[A-Z]))?)|[+\-]?[a-z](?=\s*[A-Z])|\+(?!\s))/))return{s:n[0],$:t.substr(n[0].length)};var e=x._.M(t,"","$","$","");return e&&(n=e.s.match(/^\$(?:\(?[+\-]?(?:[0-9]*[a-z]?[+\-])?[0-9]*[a-z](?:[+\-][0-9]*[a-z]?)?\)?|\+|-)\$$/))?{s:n[0],$:t.substr(n[0].length)}:null},
 "~~":function(t){return this["~@"](t)},"@c":/^(?:[A-Z][a-z]{0,2}|i)(?=,)/,
 "~B":function(t){if(t.match(/^\([a-z]+\)$/))return null;var n=t.match(/^(?:[a-z]|(?:[0-9\ \+\-\,\.\(\)]+[a-z])+[0-9\ \+\-\,\.\(\)]*|(?:[a-z][0-9\ \+\-\,\.\(\)]+)+[a-z]?)$/);return n?{s:n[0],$:t.substr(n[0].length)}:null},"%w":/^(?:pH|pOH|pC|pK|iPr|iBu)(?=$|[^a-zA-Z])/,"/":/^\s*(\/)\s*/,"//":/^\s*(\/\/)\s*/,"*":/^\s*[*.]\s*/},
-M:function(t,n,e,a,o,r,i,c,u,p){var s=function(t,n){if("string"==typeof n)return 0!==t.indexOf(n)?null:n;var e=t.match(n);return e?e[0]:null},_=s(t,n);if(null===_)return null;if(t=t.substr(_.length),null===(_=s(t,e)))return null;var f=function(t,n,e){for(var a=0;n<t.length;){var o=t.charAt(n),r=s(t.substr(n),e);if(null!==r&&0===a)return{P:n,T:n+r.length};if("{"===o)a++;else if("}"===o){if(0===a)throw["ExtraCloseMissingOpen","Extra close brace or missing open brace"];a--}n++}return null}(t,_.length,a||o);if(null===f)return null;var h=t.substring(0,a?f.T:f.P);if(r||i){var x=this.M(t.substr(f.T),r,i,c,u);if(null===x)return null;var m=[h,x.s];return{s:p?m.join(""):m,$:x.$}}return{s:h,$:t.substr(f.T)}},
-s:function(t,n){var a=e._._[t];if(void 0===a)throw["MhchemBugP","mhchem bug P. Please report. ("+t+")"];if("function"==typeof a)return e._._[t](n);var o=n.match(a);return o?{s:o[2]?[o[1],o[2]]:o[1]?o[1]:o[0],$:n.substr(o[0].length)}:null}},
+M:function(t,n,e,a,o,r,i,c,u,s){var p=function(t,n){if("string"==typeof n)return 0!==t.indexOf(n)?null:n;var e=t.match(n);return e?e[0]:null},_=p(t,n);if(null===_)return null;if(t=t.substr(_.length),null===(_=p(t,e)))return null;var f=function(t,n,e){for(var a=0;n<t.length;){var o=t.charAt(n),r=p(t.substr(n),e);if(null!==r&&0===a)return{P:n,T:n+r.length};if("{"===o)a++;else if("}"===o){if(0===a)throw["ExtraCloseMissingOpen","Extra close brace or missing open brace"];a--}n++}return null}(t,_.length,a||o);if(null===f)return null;var h=t.substring(0,a?f.T:f.P);if(r||i){var x=this.M(t.substr(f.T),r,i,c,u);if(null===x)return null;var m=[h,x.s];return{s:s?m.join(""):m,$:x.$}}return{s:h,$:t.substr(f.T)}},
+s:function(t,n){var e=x._._[t];if(void 0===e)throw["MhchemBugP","mhchem bug P. Please report. ("+t+")"];if("function"==typeof e)return x._._[t](n);var a=n.match(e);return a?{s:a[2]?[a[1],a[2]]:a[1]?a[1]:a[0],$:n.substr(a[0].length)}:null}},
 m:{
 "a=":function(t,n){t.a=(t.a||"")+n},
 "b=":function(t,n){t.b=(t.b||"")+n},
@@ -74,16 +74,16 @@ m:{
 "~I":function(t,n,e){return{l:e,p1:n[0],p2:n[1]}},
 "~p":function(t,n){return n},
 rm:function(t,n){return{l:"rm",p1:n||""}},
-"%p":function(t,n){return e.go(n,"%p")},
-"%z":function(t,n){var a=["{"];return e.v(a,e.go(n,"%p")),a.push("}"),a},
-"%o":function(t,n){return e.go(n,"%o")},
-"%n":function(t,n){return e.go(n,"%n")},
+"%p":function(t,n){return x.go(n,"%p")},
+"%z":function(t,n){var e=["{"];return x.v(e,x.go(n,"%p")),e.push("}"),e},
+"%o":function(t,n){return x.go(n,"%o")},
+"%n":function(t,n){return x.go(n,"%n")},
 "~c":function(t,n,e){return{l:"~c",B:e||n}},
 "~j":function(t,n){return{l:"~i",color:n[0]}},
-ce:function(t,n){return e.go(n)},
+ce:function(t,n){return x.go(n)},
 "@l":function(t,n){var e=[];n.match(/^[+\-]/)&&(e.push(n.substr(0,1)),n=n.substr(1));var a=n.match(/^([0-9]+|\$[a-z]\$|[a-z])\/([0-9]+)(\$[a-z]\$|[a-z])?$/);return a[1]=a[1].replace(/\$/g,""),e.push({l:"~C",p1:a[1],p2:a[2]}),a[3]&&(a[3]=a[3].replace(/\$/g,""),e.push({l:"%o",p1:a[3]})),e},
-"@m":function(t,n){return e.go(n,"@m")}},
-C:function(t){var n,e,a,o,r={};for(n in t)for(e in t[n])for(a=e.split("|"),t[n][e].stateArray=a,o=0;o<a.length;o++)r[a[o]]=[];for(n in t)for(e in t[n])for(a=t[n][e].stateArray||[],o=0;o<a.length;o++){var i=t[n][e];if(i.h){i.h=[].concat(i.h);for(var c=0;c<i.h.length;c++)"string"==typeof i.h[c]&&(i.h[c]={l:i.h[c]})}else i.h=[];for(var u=n.split("|"),p=0;p<u.length;p++)if("*"===a[o])for(var s in r)r[s].push({pattern:u[p],task:i});else r[a[o]].push({pattern:u[p],task:i})}return r},t:{}};e.t={ce:{u:e.C({"~z":{"*":{h:"~Q"}},
+"@m":function(t,n){return x.go(n,"@m")}},
+C:function(t){var n,e,a,o,r={};for(n in t)for(e in t[n])for(a=e.split("|"),t[n][e].stateArray=a,o=0;o<a.length;o++)r[a[o]]=[];for(n in t)for(e in t[n])for(a=t[n][e].stateArray||[],o=0;o<a.length;o++){var i=t[n][e];if(i.h){i.h=[].concat(i.h);for(var c=0;c<i.h.length;c++)"string"==typeof i.h[c]&&(i.h[c]={l:i.h[c]})}else i.h=[];for(var u=n.split("|"),s=0;s<u.length;s++)if("*"===a[o])for(var p in r)r[p].push({pattern:u[s],task:i});else r[a[o]].push({pattern:u[s],task:i})}return r},t:{}};x.t={ce:{u:x.C({"~z":{"*":{h:"~Q"}},
 "~x":{"0|1|2":{h:"~a",k:!0,A:!0}},
 "~W":{0:{h:"`@"}},
 "@n":{r:{h:"%%",g:"rt"},rd:{h:"%d",g:"%f"}},
@@ -136,10 +136,10 @@ a:{h:["~Q",{l:"~G",S:"~F"}],g:"2"},as:{h:[{l:"~Q",S:2},{l:"~c",S:"-"}],g:"3"},b:
 "@H|@G|@F":{"0|1|2|3|a|as|b|p|bp|o|c0":{h:["o=","~Q"],g:"3"},"*":{h:["~Q","o=","~Q"],g:"3"}},
 "~P":{"*":{h:[{l:"~Q",S:1},"~p"],g:"3"}},
 "~y":{a:{h:"@W",g:"o",k:!0},as:{h:["~Q","%h"],g:"1",k:!0},"r|rt|rd|%f|%e":{h:["~Q"],g:"0",k:!0},"*":{h:["~Q","~p"],g:"3"}}}),m:{
-"~K":function(t,n){var a;if((t.d||"").match(/^[0-9]+$/)){var o=t.d;t.d=void 0,a=this["~Q"](t),t.b=o}else a=this["~Q"](t);return e.m["o="](t,n),a},
+"~K":function(t,n){var e;if((t.d||"").match(/^[0-9]+$/)){var a=t.d;t.d=void 0,e=this["~Q"](t),t.b=a}else e=this["~Q"](t);return x.m["o="](t,n),e},
 "~q":function(t,n){t.d=n,t.dType="kv"},
-"~d":function(t,n){if(t["@~"]){var a=[];return e.v(a,this["~Q"](t)),e.v(a,e.m["~c"](t,n,"-")),a}t.d=n},
-"`d":function(t,n,a){var o=e._.s("~O",t.o||""),r=e._.s("~L",t.o||""),i=e._.s("~M",t.o||""),c=e._.s("@a",t.o||""),u="-"===n&&(o&&""===o.$||r||i||c);!u||t.a||t.b||t.p||t.d||t.q||o||!i||(t.o="$"+t.o+"$");var p=[];return u?(e.v(p,this["~Q"](t)),p.push({l:"~F"})):(o=e._.s("~r",t.d||""),a&&o&&""===o.$?(e.v(p,e.m["d="](t,n)),e.v(p,this["~Q"](t))):(e.v(p,this["~Q"](t)),e.v(p,e.m["~c"](t,n,"-")))),p},
+"~d":function(t,n){if(t["@~"]){var e=[];return x.v(e,this["~Q"](t)),x.v(e,x.m["~c"](t,n,"-")),e}t.d=n},
+"`d":function(t,n,e){var a=x._.s("~O",t.o||""),o=x._.s("~L",t.o||""),r=x._.s("~M",t.o||""),i=x._.s("@a",t.o||""),c="-"===n&&(a&&""===a.$||o||r||i);!c||t.a||t.b||t.p||t.d||t.q||a||!r||(t.o="$"+t.o+"$");var u=[];return c?(x.v(u,this["~Q"](t)),u.push({l:"~F"})):(a=x._.s("~r",t.d||""),e&&a&&""===a.$?(x.v(u,x.m["d="](t,n)),x.v(u,this["~Q"](t))):(x.v(u,this["~Q"](t)),x.v(u,x.m["~c"](t,n,"-")))),u},
 "@W":function(t){t.o=t.a,t.a=void 0},
 "%h":function(t){t.sb=!0},
 "%g":function(t){t.sb=!1},
@@ -147,28 +147,28 @@ a:{h:["~Q",{l:"~G",S:"~F"}],g:"2"},as:{h:[{l:"~Q",S:2},{l:"~c",S:"-"}],g:"3"},b:
 "~a":function(t){t["@~"]=!1},
 "~X":function(t){t["@@"]++},
 "~Y":function(t){t["@@"]--},
-"%m":function(t,n){return{l:"%m",p1:e.go(n,"o")}},
+"%m":function(t,n){return{l:"%m",p1:x.go(n,"o")}},
 "~n":function(t,n){var e=n.replace(/\s*$/,"");return e!==n&&0===t["@@"]?{l:"~k",p1:e}:{l:"~l",p1:e}},
-"~Q":function(t,n,a){var o,r,i;t.r?(r="M"===t.rdt?e.go(t.rd,"%o"):"T"===t.rdt?[{l:"%p",p1:t.rd||""}]:e.go(t.rd),i="M"===t.rqt?e.go(t.rq,"%o"):"T"===t.rqt?[{l:"%p",p1:t.rq||""}]:e.go(t.rq),o={l:"~%",r:t.r,rd:r,rq:i}):(o=[],(t.a||t.b||t.p||t.o||t.q||t.d||a)&&(t.sb&&o.push({l:"~A"}),t.o||t.q||t.d||t.b||t.p||2===a?t.o||t.q||t.d||!t.b&&!t.p?t.o&&"kv"===t.dType&&e._.s("%Y",t.d||"")?t.dType="~V":t.o&&"kv"===t.dType&&!t.q&&(t.dType=void 0):(t.o=t.a,t.d=t.b,t.q=t.p,t.a=t.b=t.p=void 0):(t.o=t.a,t.a=void 0),o.push({l:"~e",a:e.go(t.a,"a"),b:e.go(t.b,"bd"),p:e.go(t.p,"pq"),o:e.go(t.o,"o"),q:e.go(t.q,"pq"),d:e.go(t.d,"~V"===t.dType?"~V":"bd"),dType:t.dType})));for(var c in t)"@@"!==c&&"@~"!==c&&delete t[c];return o},
-"`@":function(t,n){var a=["{"];return e.v(a,e.go(n,"~V")),a.push("}"),a},
-"~E":function(t,n){return{l:"~D",p1:e.go(n[0]),p2:e.go(n[1])}},
-"~U":function(t,n){return{l:"~T",p1:e.go(n[0]),p2:e.go(n[1])}},
-"%v":function(t,n){return{l:"%u",p1:e.go(n[0]),p2:e.go(n[1])}},
-"%t":function(t,n){return{l:"%s",p1:e.go(n[0]),p2:e.go(n[1])}},
-"~h":function(t,n){return{l:"~g",G:n[0],X:e.go(n[1])}},
+"~Q":function(t,n,e){var a,o,r;t.r?(o="M"===t.rdt?x.go(t.rd,"%o"):"T"===t.rdt?[{l:"%p",p1:t.rd||""}]:x.go(t.rd),r="M"===t.rqt?x.go(t.rq,"%o"):"T"===t.rqt?[{l:"%p",p1:t.rq||""}]:x.go(t.rq),a={l:"~%",r:t.r,rd:o,rq:r}):(a=[],(t.a||t.b||t.p||t.o||t.q||t.d||e)&&(t.sb&&a.push({l:"~A"}),t.o||t.q||t.d||t.b||t.p||2===e?t.o||t.q||t.d||!t.b&&!t.p?t.o&&"kv"===t.dType&&x._.s("%Y",t.d||"")?t.dType="~V":t.o&&"kv"===t.dType&&!t.q&&(t.dType=void 0):(t.o=t.a,t.d=t.b,t.q=t.p,t.a=t.b=t.p=void 0):(t.o=t.a,t.a=void 0),a.push({l:"~e",a:x.go(t.a,"a"),b:x.go(t.b,"bd"),p:x.go(t.p,"pq"),o:x.go(t.o,"o"),q:x.go(t.q,"pq"),d:x.go(t.d,"~V"===t.dType?"~V":"bd"),dType:t.dType})));for(var i in t)"@@"!==i&&"@~"!==i&&delete t[i];return a},
+"`@":function(t,n){var e=["{"];return x.v(e,x.go(n,"~V")),e.push("}"),e},
+"~E":function(t,n){return{l:"~D",p1:x.go(n[0]),p2:x.go(n[1])}},
+"~U":function(t,n){return{l:"~T",p1:x.go(n[0]),p2:x.go(n[1])}},
+"%v":function(t,n){return{l:"%u",p1:x.go(n[0]),p2:x.go(n[1])}},
+"%t":function(t,n){return{l:"%s",p1:x.go(n[0]),p2:x.go(n[1])}},
+"~h":function(t,n){return{l:"~g",G:n[0],X:x.go(n[1])}},
 "r=":function(t,n){t.r=n},
 "%%":function(t,n){t.rdt=n},
 "%~":function(t,n){t.rd=n},
 "%d":function(t,n){t.rqt=n},
 "%c":function(t,n){t.rq=n},
 "~N":function(t,n,e){return{l:"~N",B:e||n}}}},
-a:{u:e.C({"~z":{"*":{}},
+a:{u:x.C({"~z":{"*":{}},
 "@k":{0:{h:"@l"}},
 "~x":{0:{g:"1",k:!0}},
 "@%":{"*":{h:"%n",g:"1"}},
 ",":{"*":{h:{l:"~G",S:"~o"}}},
 "~y":{"*":{h:"~p"}}}),m:{}},
-o:{u:e.C({"~z":{"*":{}},
+o:{u:x.C({"~z":{"*":{}},
 "@k":{0:{h:"@l"}},
 "~x":{0:{g:"1",k:!0}},
 "~J":{"*":{h:"rm"}},
@@ -177,14 +177,14 @@ o:{u:e.C({"~z":{"*":{}},
 "@b|@%":{"*":{h:"%o"}},
 "%x":{"*":{h:"%z"}},
 "~y":{"*":{h:"~p"}}}),m:{}},
-"%p":{u:e.C({"~z":{"*":{h:"~Q"}},
+"%p":{u:x.C({"~z":{"*":{h:"~Q"}},
 "%y":{"*":{h:"%q"}},
 "@b|@%":{"*":{h:"%o"}},
 "@A":{"*":{h:["~Q","rm"]}},
 "@q|@H|@G|@F":{"*":{h:["~Q","~p"]}},
 "~x":{"*":{h:"%q"}}}),m:{
 "~Q":function(t){if(t.F){var n={l:"%p",p1:t.F};for(var e in t)delete t[e];return n}}}},
-pq:{u:e.C({"~z":{"*":{}},
+pq:{u:x.C({"~z":{"*":{}},
 "%k":{"*":{h:"%m"}},
 i$:{0:{g:"!f",k:!0}},
 "@c":{0:{h:"rm",g:"0"}},
@@ -202,9 +202,9 @@ i$:{0:{g:"!f",k:!0}},
 "@v":{"*":{h:"ce"}},
 "@q|@H|@G|@F":{"*":{h:"~p"}},
 "~y":{"*":{h:"~p"}}}),m:{
-"%m":function(t,n){return{l:"%H",p1:e.go(n,"o")}},
-"~h":function(t,n){return{l:"~g",G:n[0],X:e.go(n[1],"pq")}}}},
-bd:{u:e.C({"~z":{"*":{}},
+"%m":function(t,n){return{l:"%H",p1:x.go(n,"o")}},
+"~h":function(t,n){return{l:"~g",G:n[0],X:x.go(n[1],"pq")}}}},
+bd:{u:x.C({"~z":{"*":{}},
 x$:{0:{g:"!f",k:!0}},
 "~B":{0:{g:"f",k:!0}},
 "~x":{0:{g:"!f",k:!0}},
@@ -221,29 +221,29 @@ x:{"*":{h:{l:"~G",S:"@o"}}},
 "@v":{"*":{h:"ce"}},
 "@q|@H|@G|@F":{"*":{h:"~p"}},
 "~y":{"*":{h:"~p"}}}),m:{
-"~h":function(t,n){return{l:"~g",G:n[0],X:e.go(n[1],"bd")}}}},
-"~V":{u:e.C({"~z":{"*":{}},
+"~h":function(t,n){return{l:"~g",G:n[0],X:x.go(n[1],"bd")}}}},
+"~V":{u:x.C({"~z":{"*":{}},
 "%a":{"*":{h:"%b"}},
 "@b|@%":{"*":{h:"%o"}},
 "~x":{"*":{h:"~p"}}}),m:{
 "%b":function(t,n){return{l:"%a",p1:n||""}}}},
-"%o":{u:e.C({"~z":{"*":{h:"~Q"}},
+"%o":{u:x.C({"~z":{"*":{h:"~Q"}},
 "@v":{"*":{h:["~Q","ce"]}},
 "%y|@q|@H|@G|@F":{"*":{h:"o="}},
 "~x":{"*":{h:"o="}}}),m:{
 "~Q":function(t){if(t.o){var n={l:"%o",p1:t.o};for(var e in t)delete t[e];return n}}}},
-"%n":{u:e.C({"~z":{"*":{h:"~Q"}},
+"%n":{u:x.C({"~z":{"*":{h:"~Q"}},
 "@v":{"*":{h:["~Q","ce"]}},
 "%y|@q|@H|@G|@F":{"*":{h:"o="}},
 "-|+":{"*":{h:"%r"}},
 "~x":{"*":{h:"o="}}}),m:{
 "%r":function(t,n){t.o=(t.o||"")+"{"+n+"}"},
 "~Q":function(t){if(t.o){var n={l:"%o",p1:t.o};for(var e in t)delete t[e];return n}}}},
-"@m":{u:e.C({"~z":{"*":{}},
+"@m":{u:x.C({"~z":{"*":{}},
 ",":{"*":{h:"~n"}},
 "~x":{"*":{h:"~p"}}}),m:{
 "~n":function(){return{l:"~o"}}}},
-pu:{u:e.C({"~z":{"*":{h:"~Q"}},
+pu:{u:x.C({"~z":{"*":{h:"~Q"}},
 "`e":{"*":{h:["~Q","%j"]}},
 "@L|@d":{"0|a":{h:"~p"}},
 "`a":{0:{h:"`b",g:"a"}},
@@ -254,12 +254,12 @@ pu:{u:e.C({"~z":{"*":{h:"~Q"}},
 "//":{d:{h:"o=",g:"/"}},
 "/":{d:{h:"o=",g:"/"}},
 "%y|~x":{"0|d":{h:"d=",g:"d"},a:{h:["%j","d="],g:"d"},"/|q":{h:"q=",g:"q"}}}),m:{
-"%W":function(t,n){var a=[];return"+-"===n[0]||"+/-"===n[0]?a.push("\\pm "):n[0]&&a.push(n[0]),n[1]&&(e.v(a,e.go(n[1],"%U")),n[2]&&(n[2].match(/[,.]/)?e.v(a,e.go(n[2],"%U")):a.push(n[2])),n[3]=n[4]||n[3],n[3]&&(n[3]=n[3].trim(),"e"===n[3]||"*"===n[3].substr(0,1)?a.push({l:"%K"}):a.push({l:"%M"}))),n[3]&&a.push("10^{"+n[5]+"}"),a},
-"`b":function(t,n){var a=[];return"+-"===n[0]||"+/-"===n[0]?a.push("\\pm "):n[0]&&a.push(n[0]),e.v(a,e.go(n[1],"%U")),a.push("^{"+n[2]+"}"),a},
+"%W":function(t,n){var e=[];return"+-"===n[0]||"+/-"===n[0]?e.push("\\pm "):n[0]&&e.push(n[0]),n[1]&&(x.v(e,x.go(n[1],"%U")),n[2]&&(n[2].match(/[,.]/)?x.v(e,x.go(n[2],"%U")):e.push(n[2])),(n[3]||n[4])&&("e"===n[3]||"*"===n[4]?e.push({l:"%K"}):e.push({l:"%M"}))),n[5]&&e.push("10^{"+n[5]+"}"),e},
+"`b":function(t,n){var e=[];return"+-"===n[0]||"+/-"===n[0]?e.push("\\pm "):n[0]&&e.push(n[0]),x.v(e,x.go(n[1],"%U")),e.push("^{"+n[2]+"}"),e},
 "~N":function(t,n,e){return{l:"~N",B:e||n}},
 "%j":function(){return{l:"%N"}},
-"~Q":function(t){var n,a=e._.s("%x",t.d||"");a&&""===a.$&&(t.d=a.s);var o=e._.s("%x",t.q||"");if(o&&""===o.$&&(t.q=o.s),t.d&&(t.d=t.d.replace(/\u00B0C|\^oC|\^{o}C/g,"{}^{\\circ}C"),t.d=t.d.replace(/\u00B0F|\^oF|\^{o}F/g,"{}^{\\circ}F")),t.q){t.q=t.q.replace(/\u00B0C|\^oC|\^{o}C/g,"{}^{\\circ}C"),t.q=t.q.replace(/\u00B0F|\^oF|\^{o}F/g,"{}^{\\circ}F");var r={d:e.go(t.d,"pu"),q:e.go(t.q,"pu")};"//"===t.o?n={l:"%P",p1:r.d,p2:r.q}:(n=r.d,r.d.length>1||r.q.length>1?n.push({l:"%S"}):n.push({l:"/"}),e.v(n,r.q))}else n=e.go(t.d,"%O");for(var i in t)delete t[i];return n}}},
-"%O":{u:e.C({"~z":{"*":{h:"~Q"}},
+"~Q":function(t){var n,e=x._.s("%x",t.d||"");e&&""===e.$&&(t.d=e.s);var a=x._.s("%x",t.q||"");if(a&&""===a.$&&(t.q=a.s),t.d&&(t.d=t.d.replace(/\u00B0C|\^oC|\^{o}C/g,"{}^{\\circ}C"),t.d=t.d.replace(/\u00B0F|\^oF|\^{o}F/g,"{}^{\\circ}F")),t.q){t.q=t.q.replace(/\u00B0C|\^oC|\^{o}C/g,"{}^{\\circ}C"),t.q=t.q.replace(/\u00B0F|\^oF|\^{o}F/g,"{}^{\\circ}F");var o={d:x.go(t.d,"pu"),q:x.go(t.q,"pu")};"//"===t.o?n={l:"%P",p1:o.d,p2:o.q}:(1<(n=o.d).length||1<o.q.length?n.push({l:"%S"}):n.push({l:"/"}),x.v(n,o.q))}else n=x.go(t.d,"%O");for(var r in t)delete t[r];return n}}},
+"%O":{u:x.C({"~z":{"*":{h:"~Q"}},
 "*":{"*":{h:["~Q","%K"],g:"0"}},
 "@F":{"*":{h:"%`"}},
 "%j":{"*":{h:["~Q","%j"],g:"0"}},
@@ -269,23 +269,23 @@ pu:{u:e.C({"~z":{"*":{h:"~Q"}},
 "%K":function(){return{l:"%L"}},
 "%R":function(t,n){t.rm+="^{"+n+"}"},
 "%j":function(){return{l:"`%"}},
-"~Q":function(t){var n=[];if(t.rm){var a=e._.s("%x",t.rm||"");n=a&&""===a.$?e.go(a.s,"pu"):{l:"rm",p1:t.rm}}for(var o in t)delete t[o];return n}}},
-"%U":{u:e.C({"~z":{0:{h:"~R"},o:{h:"~S"}},
+"~Q":function(t){var n=[];if(t.rm){var e=x._.s("%x",t.rm||"");n=e&&""===e.$?x.go(e.s,"pu"):{l:"rm",p1:t.rm}}for(var a in t)delete t[a];return n}}},
+"%U":{u:x.C({"~z":{0:{h:"~R"},o:{h:"~S"}},
 ",":{0:{h:["~R","~n"],g:"o"}},
 ".":{0:{h:["~R","~p"],g:"o"}},
 "~x":{"*":{h:"%q"}}}),m:{
 "~n":function(){return{l:"~o"}},
-"~R":function(t){var n=[];if(t.F=t.F||"",t.F.length>4){var e=t.F.length%3;0===e&&(e=3);for(var a=t.F.length-3;a>0;a-=3)n.push(t.F.substr(a,3)),n.push({l:"%T"});n.push(t.F.substr(0,e)),n.reverse()}else n.push(t.F);for(var o in t)delete t[o];return n},
-"~S":function(t){var n=[];if(t.F=t.F||"",t.F.length>4){for(var e=t.F.length-3,a=0;a<e;a+=3)n.push(t.F.substr(a,3)),n.push({l:"%T"});n.push(t.F.substr(a))}else n.push(t.F);for(var o in t)delete t[o];return n}}}};var a={
-go:function(t,n){if(!t)return"";for(var e="",o=!1,r=0;r<t.length;r++){var i=t[r];"string"==typeof i?e+=i:(e+=a.Z(i),"`c"===i.l&&(o=!0))}return n||o||!e||(e="{"+e+"}"),e},
-R:function(t){return t?a.go(t,!0):t},
-Z:function(t){var n;switch(t.l){case"~e":n="";var e={a:a.R(t.a),b:a.R(t.b),p:a.R(t.p),o:a.R(t.o),q:a.R(t.q),d:a.R(t.d)};e.a&&(e.a.match(/^[+\-]/)&&(e.a="{"+e.a+"}"),n+=e.a+"\\,"),(e.b||e.p)&&(n+="{\\vphantom{X}}",n+="^{\\hphantom{"+(e.b||"")+"}}_{\\hphantom{"+(e.p||"")+"}}",n+="{\\vphantom{X}}",n+="^{\\smash[t]{\\vphantom{2}}\\llap{"+(e.b||"")+"}}",n+="_{\\vphantom{2}\\llap{\\smash[t]{"+(e.p||"")+"}}}"),e.o&&(e.o.match(/^[+\-]/)&&(e.o="{"+e.o+"}"),n+=e.o),"kv"===t.dType?((e.d||e.q)&&(n+="{\\vphantom{X}}"),e.d&&(n+="^{"+e.d+"}"),e.q&&(n+="_{\\smash[t]{"+e.q+"}}")):"~V"===t.dType?(e.d&&(n+="{\\vphantom{X}}",n+="^{"+e.d+"}"),e.q&&(n+="{\\vphantom{X}}",n+="_{\\smash[t]{"+e.q+"}}")):(e.q&&(n+="{\\vphantom{X}}",n+="_{\\smash[t]{"+e.q+"}}"),e.d&&(n+="{\\vphantom{X}}",n+="^{"+e.d+"}"));break;case"rm":n="\\mathrm{"+t.p1+"}";break;case"%p":t.p1.match(/[\^_]/)?(t.p1=t.p1.replace(" ","~").replace("-","\\text{-}"),n="\\mathrm{"+t.p1+"}"):n="\\text{"+t.p1+"}";break;case"%a":n="\\mathrm{"+t.p1+"}";break;case"%m":n="\\mskip2mu "+a.R(t.p1);break;case"%H":n="\\mskip1mu "+a.R(t.p1);break;case"~c":if(!(n=a.j(t.B)))throw["MhchemErrorBond","mhchem Error. Unknown bond type ("+t.B+")"];break;case"~C":var o="\\frac{"+t.p1+"}{"+t.p2+"}";n="\\mathchoice{\\textstyle"+o+"}{"+o+"}{"+o+"}{"+o+"}";break;case"%P":var r="\\frac{"+a.R(t.p1)+"}{"+a.R(t.p2)+"}";n="\\mathchoice{\\textstyle"+r+"}{"+r+"}{"+r+"}{"+r+"}";break;case"%o":n=t.p1+" ";break;case"~D":n="\\frac{"+a.R(t.p1)+"}{"+a.R(t.p2)+"}";break;case"~T":n="\\overset{"+a.R(t.p1)+"}{"+a.R(t.p2)+"}";break;case"%u":n="\\underset{"+a.R(t.p1)+"}{"+a.R(t.p2)+"}";break;case"%s":n="\\underbrace{"+a.R(t.p1)+"}_{"+a.R(t.p2)+"}";break;case"~g":n="{\\color{"+t.G+"}{"+a.R(t.X)+"}}";break;case"~i":n="\\color{"+t.color+"}";break;case"~%":var i=a.R(t.rd),c=a.R(t.rq),u=a.H(t.r);i||c?"<=>"===t.r||"<=>>"===t.r||"<<=>"===t.r||"<--\x3e"===t.r?(u="\\long"+u,i&&(u="\\overset{"+i+"}{"+u+"}"),c&&(u="\\underset{\\lower7mu{"+c+"}}{"+u+"}"),u=" {}\\mathrel{"+u+"}{} "):(c&&(u+="[{"+c+"}]"),u=" {}\\mathrel{\\x"+(u+="{"+i+"}")+"}{} "):u=" {}\\mathrel{\\long"+u+"}{} ",n=u;break;case"~N":n=a.J(t.B);break;case"`c":n=t.p1+" ";break;case"%j":n=" ";break;case"~A":case"%N":n="~";break;case"`%":n="\\mkern3mu ";break;case"%T":n="\\mkern2mu ";break;case"~o":n="{,}";break;case"~k":n="{"+t.p1+"}\\mkern6mu ";break;case"~l":n="{"+t.p1+"}\\mkern3mu ";break;case"~m":n="{"+t.p1+"}\\mkern1mu ";break;case"~F":n="\\text{-}";break;case"@Y":n="\\,{\\cdot}\\,";break;case"~v":n="\\mkern1mu \\bullet\\mkern1mu ";break;case"@o":n="{\\times}";break;case"%@":n="\\prime ";break;case"%K":n="\\cdot ";break;case"%L":n="\\mkern1mu{\\cdot}\\mkern1mu ";break;case"%M":n="\\times ";break;case"~f":n="{\\sim}";break;case"^":n="uparrow";break;case"v":n="downarrow";break;case"~w":n="\\ldots ";break;case"/":n="/";break;case"%S":n="\\,/\\,";break;default:throw["MhchemBugT","mhchem bug T. Please report."]}return n},
+"~R":function(t){var n=[];if(t.F=t.F||"",4<t.F.length){var e=t.F.length%3;0===e&&(e=3);for(var a=t.F.length-3;0<a;a-=3)n.push(t.F.substr(a,3)),n.push({l:"%T"});n.push(t.F.substr(0,e)),n.reverse()}else n.push(t.F);for(var o in t)delete t[o];return n},
+"~S":function(t){var n=[];if(t.F=t.F||"",4<t.F.length){for(var e=t.F.length-3,a=0;a<e;a+=3)n.push(t.F.substr(a,3)),n.push({l:"%T"});n.push(t.F.substr(a))}else n.push(t.F);for(var o in t)delete t[o];return n}}}};var u={
+go:function(t,n){if(!t)return"";for(var e="",a=!1,o=0;o<t.length;o++){var r=t[o];"string"==typeof r?e+=r:(e+=u.Z(r),"`c"===r.l&&(a=!0))}return n||a||!e||(e="{"+e+"}"),e},
+j:function(t){return t?u.go(t,!0):t},
+Z:function(t){var n;switch(t.l){case"~e":n="";var e={a:u.j(t.a),b:u.j(t.b),p:u.j(t.p),o:u.j(t.o),q:u.j(t.q),d:u.j(t.d)};e.a&&(e.a.match(/^[+\-]/)&&(e.a="{"+e.a+"}"),n+=e.a+"\\,"),(e.b||e.p)&&(n+="{\\vphantom{X}}",n+="^{\\hphantom{"+(e.b||"")+"}}_{\\hphantom{"+(e.p||"")+"}}",n+="{\\vphantom{X}}",n+="^{\\smash[t]{\\vphantom{2}}\\llap{"+(e.b||"")+"}}",n+="_{\\vphantom{2}\\llap{\\smash[t]{"+(e.p||"")+"}}}"),e.o&&(e.o.match(/^[+\-]/)&&(e.o="{"+e.o+"}"),n+=e.o),"kv"===t.dType?((e.d||e.q)&&(n+="{\\vphantom{X}}"),e.d&&(n+="^{"+e.d+"}"),e.q&&(n+="_{\\smash[t]{"+e.q+"}}")):"~V"===t.dType?(e.d&&(n+="{\\vphantom{X}}",n+="^{"+e.d+"}"),e.q&&(n+="{\\vphantom{X}}",n+="_{\\smash[t]{"+e.q+"}}")):(e.q&&(n+="{\\vphantom{X}}",n+="_{\\smash[t]{"+e.q+"}}"),e.d&&(n+="{\\vphantom{X}}",n+="^{"+e.d+"}"));break;case"rm":n="\\mathrm{"+t.p1+"}";break;case"%p":n=t.p1.match(/[\^_]/)?(t.p1=t.p1.replace(" ","~").replace("-","\\text{-}"),"\\mathrm{"+t.p1+"}"):"\\text{"+t.p1+"}";break;case"%a":n="\\mathrm{"+t.p1+"}";break;case"%m":n="\\mskip2mu "+u.j(t.p1);break;case"%H":n="\\mskip1mu "+u.j(t.p1);break;case"~c":if(!(n=u.R(t.B)))throw["MhchemErrorBond","mhchem Error. Unknown bond type ("+t.B+")"];break;case"~C":var a="\\frac{"+t.p1+"}{"+t.p2+"}";n="\\mathchoice{\\textstyle"+a+"}{"+a+"}{"+a+"}{"+a+"}";break;case"%P":var o="\\frac{"+u.j(t.p1)+"}{"+u.j(t.p2)+"}";n="\\mathchoice{\\textstyle"+o+"}{"+o+"}{"+o+"}{"+o+"}";break;case"%o":n=t.p1+" ";break;case"~D":n="\\frac{"+u.j(t.p1)+"}{"+u.j(t.p2)+"}";break;case"~T":n="\\overset{"+u.j(t.p1)+"}{"+u.j(t.p2)+"}";break;case"%u":n="\\underset{"+u.j(t.p1)+"}{"+u.j(t.p2)+"}";break;case"%s":n="\\underbrace{"+u.j(t.p1)+"}_{"+u.j(t.p2)+"}";break;case"~g":n="{\\color{"+t.G+"}{"+u.j(t.X)+"}}";break;case"~i":n="\\color{"+t.color+"}";break;case"~%":var r=u.j(t.rd),i=u.j(t.rq),c=u.H(t.r);n=c=r||i?"<=>"===t.r||"<=>>"===t.r||"<<=>"===t.r||"<--\x3e"===t.r?(c="\\long"+c,r&&(c="\\overset{"+r+"}{"+c+"}"),i&&(c="<--\x3e"===t.r?"\\underset{\\lower2mu{"+i+"}}{"+c+"}":"\\underset{\\lower6mu{"+i+"}}{"+c+"}")," {}\\mathrel{"+c+"}{} "):(i&&(c+="[{"+i+"}]")," {}\\mathrel{\\x"+(c+="{"+r+"}")+"}{} "):" {}\\mathrel{\\long"+c+"}{} ";break;case"~N":n=u.J(t.B);break;case"`c":n=t.p1+" ";break;case"%j":n=" ";break;case"~A":case"%N":n="~";break;case"`%":n="\\mkern3mu ";break;case"%T":n="\\mkern2mu ";break;case"~o":n="{,}";break;case"~k":n="{"+t.p1+"}\\mkern6mu ";break;case"~l":n="{"+t.p1+"}\\mkern3mu ";break;case"~m":n="{"+t.p1+"}\\mkern1mu ";break;case"~F":n="\\text{-}";break;case"@Y":n="\\,{\\cdot}\\,";break;case"~v":n="\\mkern1mu \\bullet\\mkern1mu ";break;case"@o":n="{\\times}";break;case"%@":n="\\prime ";break;case"%K":n="\\cdot ";break;case"%L":n="\\mkern1mu{\\cdot}\\mkern1mu ";break;case"%M":n="\\times ";break;case"~f":n="{\\sim}";break;case"^":n="uparrow";break;case"v":n="downarrow";break;case"~w":n="\\ldots ";break;case"/":n="/";break;case"%S":n="\\,/\\,";break;default:throw["MhchemBugT","mhchem bug T. Please report."]}return n},
 H:function(t){switch(t){case"->":case"\u2192":case"\u27f6":return"rightarrow";case"<-":return"leftarrow";case"<->":return"leftrightarrow";case"<--\x3e":return"leftrightarrows";case"<=>":case"\u21cc":return"rightleftharpoons";case"<=>>":return"Rightleftharpoons";case"<<=>":return"Leftrightharpoons";default:throw["MhchemBugT","mhchem bug T. Please report."]}},
-j:function(t){switch(t){case"-":case"1":return"{-}";case"=":case"2":return"{=}";case"#":case"3":return"{\\equiv}";case"~":return"{\\tripledash}";case"~-":return"{\\rlap{\\lower.1em{-}}\\raise.1em{\\tripledash}}";case"~=":case"~--":return"{\\rlap{\\lower.2em{-}}\\rlap{\\raise.2em{\\tripledash}}-}";case"-~-":return"{\\rlap{\\lower.2em{-}}\\rlap{\\raise.2em{-}}\\tripledash}";case"...":return"{{\\cdot}{\\cdot}{\\cdot}}";case"....":return"{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}";case"->":return"{\\rightarrow}";case"<-":return"{\\leftarrow}";case"<":return"{<}";case">":return"{>}";default:throw["MhchemBugT","mhchem bug T. Please report."]}},
-J:function(t){switch(t){case"+":return" {}+{} ";case"-":return" {}-{} ";case"=":return" {}={} ";case"<":return" {}<{} ";case">":return" {}>{} ";case"<<":return" {}\\ll{} ";case">>":return" {}\\gg{} ";case"\\pm":return" {}\\pm{} ";case"\\approx":case"$\\approx$":return" {}\\approx{} ";case"v":case"(v)":return" \\downarrow{} ";case"^":case"(^)":return" \\uparrow{} ";default:throw["MhchemBugT","mhchem bug T. Please report."]}}};MathJax.Extension["TeX/mhchem"].CE=n,t.Definitions.Add({macros:{ce:"CE",pu:"PU",xleftrightarrow:["Extension","AMSmath"],xrightleftharpoons:["Extension","AMSmath"],xRightleftharpoons:["Extension","AMSmath"],xLeftrightharpoons:["Extension","AMSmath"],longrightleftharpoons:["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],longRightleftharpoons:["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\smash{\\leftharpoondown}}"],longLeftrightharpoons:["Macro","\\stackrel{\\textstyle\\vphantom{{-}}{\\rightharpoonup}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],longleftrightarrows:["Macro","\\stackrel{\\longrightarrow}{\\smash{\\longleftarrow}\\Rule{0px}{.25em}{0px}}"],tripledash:["Macro","\\vphantom{-}\\raise2mu{\\kern2mu\\tiny\\text{-}\\kern1mu\\text{-}\\kern1mu\\text{-}\\kern2mu}"]}},
-null,!0),MathJax.Extension["TeX/AMSmath"]||t.Definitions.Add({macros:{xrightarrow:["Extension","AMSmath"],xleftarrow:["Extension","AMSmath"]}},
-null,!0),MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){t.Definitions.Add({macros:{xleftrightarrow:["xArrow",8596,6,6],xrightleftharpoons:["xArrow",8652,5,7],xRightleftharpoons:["xArrow",8652,5,7],xLeftrightharpoons:["xArrow",8652,5,7]}},
-null,!0)}),t.Parse.Augment({
-CE:function(t){var e=this.GetArgument(t),a=n(e).Parse();this.string=a+this.string.substr(this.i),this.i=0},
-PU:function(t){var e=this.GetArgument(t),a=n(e).Parse("pu");this.string=a+this.string.substr(this.i),this.i=0}}),MathJax.Hub.Startup.signal.Post("TeX mhchem Ready")}),MathJax.Ajax.loadComplete("[mhchem]/mhchem.js");
+R:function(t){switch(t){case"-":case"1":return"{-}";case"=":case"2":return"{=}";case"#":case"3":return"{\\equiv}";case"~":return"{\\tripledash}";case"~-":return"{\\rlap{\\lower.1em{-}}\\raise.1em{\\tripledash}}";case"~=":case"~--":return"{\\rlap{\\lower.2em{-}}\\rlap{\\raise.2em{\\tripledash}}-}";case"-~-":return"{\\rlap{\\lower.2em{-}}\\rlap{\\raise.2em{-}}\\tripledash}";case"...":return"{{\\cdot}{\\cdot}{\\cdot}}";case"....":return"{{\\cdot}{\\cdot}{\\cdot}{\\cdot}}";case"->":return"{\\rightarrow}";case"<-":return"{\\leftarrow}";case"<":return"{<}";case">":return"{>}";default:throw["MhchemBugT","mhchem bug T. Please report."]}},
+J:function(t){switch(t){case"+":return" {}+{} ";case"-":return" {}-{} ";case"=":return" {}={} ";case"<":return" {}<{} ";case">":return" {}>{} ";case"<<":return" {}\\ll{} ";case">>":return" {}\\gg{} ";case"\\pm":return" {}\\pm{} ";case"\\approx":case"$\\approx$":return" {}\\approx{} ";case"v":case"(v)":return" \\downarrow{} ";case"^":case"(^)":return" \\uparrow{} ";default:throw["MhchemBugT","mhchem bug T. Please report."]}}};MathJax.Extension["TeX/mhchem"].CE=a,n.Definitions.Add({macros:{ce:"CE",pu:"PU",xleftrightarrow:["Extension","AMSmath"],xrightleftharpoons:["Extension","AMSmath"],xRightleftharpoons:["Extension","AMSmath"],xLeftrightharpoons:["Extension","AMSmath"],longrightleftharpoons:["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],longRightleftharpoons:["Macro","\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\smash{\\leftharpoondown}}"],longLeftrightharpoons:["Macro","\\stackrel{\\textstyle\\vphantom{{-}}{\\rightharpoonup}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],longleftrightarrows:["Macro","\\raise-3mu{\\stackrel{\\longrightarrow}{\\raise2mu{\\smash{\\longleftarrow}}}}"],tripledash:["Macro","\\vphantom{-}\\raise2mu{\\kern2mu\\tiny\\text{-}\\kern1mu\\text{-}\\kern1mu\\text{-}\\kern2mu}"]}},
+null,!0),MathJax.Extension["TeX/AMSmath"]||n.Definitions.Add({macros:{xrightarrow:["Extension","AMSmath"],xleftarrow:["Extension","AMSmath"]}},
+null,!0),MathJax.Hub.Register.StartupHook("TeX AMSmath Ready",function(){n.Definitions.Add({macros:{xleftrightarrow:["xArrow",8596,6,6],xrightleftharpoons:["xArrow",8652,5,7],xRightleftharpoons:["xArrow",8652,5,7],xLeftrightharpoons:["xArrow",8652,5,7]}},
+null,!0)}),n.Parse.Augment({
+CE:function(t){var n=this.GetArgument(t),e=a(n).Parse();this.string=e+this.string.substr(this.i),this.i=0},
+PU:function(t){var n=this.GetArgument(t),e=a(n).Parse("pu");this.string=e+this.string.substr(this.i),this.i=0}}),MathJax.Hub.Startup.signal.Post("TeX mhchem Ready")}),MathJax.Ajax.loadComplete("[mhchem]/mhchem.js");
 
diff --git a/extensions/TeX/newcommand.js b/extensions/TeX/newcommand.js
index be7bdee702..1244cd322a 100644
--- a/extensions/TeX/newcommand.js
+++ b/extensions/TeX/newcommand.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/newcommand.js
+ *  /MathJax-v2/extensions/TeX/newcommand.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/newcommand"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{newcommand:"NewCommand",renewcommand:"NewCommand",newenvironment:"NewEnvironment",renewenvironment:"NewEnvironment",def:"MacroDef",let:"Let"}},null,true);b.Parse.Augment({NewCommand:function(c){var e=this.trimSpaces(this.GetArgument(c)),g=this.GetBrackets(c),d=this.GetBrackets(c),f=this.GetArgument(c);if(e.charAt(0)==="\\"){e=e.substr(1)}if(!e.match(/^(.|[a-z]+)$/i)){b.Error(["IllegalControlSequenceName","Illegal control sequence name for %1",c])}if(g){g=this.trimSpaces(g);if(!g.match(/^[0-9]+$/)){b.Error(["IllegalParamNumber","Illegal number of parameters specified in %1",c])}}this.setDef(e,["Macro",f,g,d])},NewEnvironment:function(d){var f=this.trimSpaces(this.GetArgument(d)),h=this.GetBrackets(d),e=this.GetBrackets(d),g=this.GetArgument(d),c=this.GetArgument(d);if(h){h=this.trimSpaces(h);if(!h.match(/^[0-9]+$/)){b.Error(["IllegalParamNumber","Illegal number of parameters specified in %1",d])}}this.setEnv(f,["BeginEnv",[null,"EndEnv"],g,c,h,e])},MacroDef:function(c){var d=this.GetCSname(c),f=this.GetTemplate(c,"\\"+d),e=this.GetArgument(c);if(!(f instanceof Array)){this.setDef(d,["Macro",e,f])}else{this.setDef(d,["MacroWithTemplate",e].concat(f))}},Let:function(d){var e=this.GetCSname(d),f;var g=this.GetNext();if(g==="="){this.i++;g=this.GetNext()}if(g==="\\"){d=this.GetCSname(d);f=this.csFindMacro(d);if(!f){if(a.mathchar0mi.hasOwnProperty(d)){f=["csMathchar0mi",a.mathchar0mi[d]]}else{if(a.mathchar0mo.hasOwnProperty(d)){f=["csMathchar0mo",a.mathchar0mo[d]]}else{if(a.mathchar7.hasOwnProperty(d)){f=["csMathchar7",a.mathchar7[d]]}else{if(a.delimiter.hasOwnProperty("\\"+d)){f=["csDelimiter",a.delimiter["\\"+d]]}else{return}}}}}}else{f=["Macro",g];this.i++}this.setDef(e,f)},GetCSname:function(e){var f=this.GetNext();if(f!=="\\"){b.Error(["MissingCS","%1 must be followed by a control sequence",e])}var d=this.trimSpaces(this.GetArgument(e));return d.substr(1)},GetTemplate:function(f,e){var j,g=[],h=0;j=this.GetNext();var d=this.i;while(this.i<this.string.length){j=this.GetNext();if(j==="#"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}j=this.string.charAt(++this.i);if(!j.match(/^[1-9]$/)){b.Error(["CantUseHash2","Illegal use of # in template for %1",e])}if(parseInt(j)!=++h){b.Error(["SequentialParam","Parameters for %1 must be numbered sequentially",e])}d=this.i+1}else{if(j==="{"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}if(g.length>0){return[h,g]}else{return h}}}this.i++}b.Error(["MissingReplacementString","Missing replacement string for definition of %1",f])},MacroWithTemplate:function(d,g,h,f){if(h){var c=[];this.GetNext();if(f[0]&&!this.MatchParam(f[0])){b.Error(["MismatchUseDef","Use of %1 doesn't match its definition",d])}for(var e=0;e<h;e++){c.push(this.GetParameter(d,f[e+1]))}g=this.SubstituteArgs(c,g)}this.string=this.AddArgs(g,this.string.slice(this.i));this.i=0;if(++this.macroCount>b.config.MAXMACROS){b.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},BeginEnv:function(g,k,c,j,h){if(j){var e=[];if(h!=null){var d=this.GetBrackets("\\begin{"+name+"}");e.push(d==null?h:d)}for(var f=e.length;f<j;f++){e.push(this.GetArgument("\\begin{"+name+"}"))}k=this.SubstituteArgs(e,k);c=this.SubstituteArgs([],c)}this.string=this.AddArgs(k,this.string.slice(this.i));this.i=0;return g},EndEnv:function(e,g,d,f){var c="\\end{\\end\\"+e.name+"}";this.string=this.AddArgs(d,c+this.string.slice(this.i));this.i=0;return null},GetParameter:function(f,k){if(k==null){return this.GetArgument(f)}var h=this.i,e=0,g=0;while(this.i<this.string.length){var l=this.string.charAt(this.i);if(l==="{"){if(this.i===h){g=1}this.GetArgument(f);e=this.i-h}else{if(this.MatchParam(k)){if(g){h++;e-=2}return this.string.substr(h,e)}else{if(l==="\\"){this.i++;e++;g=0;var d=this.string.substr(this.i).match(/[a-z]+|./i);if(d){this.i+=d[0].length;e=this.i-h}}else{this.i++;e++;g=0}}}}b.Error(["RunawayArgument","Runaway argument for %1?",f])},MatchParam:function(c){if(this.string.substr(this.i,c.length)!==c){return 0}if(c.match(/\\[a-z]+$/i)&&this.string.charAt(this.i+c.length).match(/[a-z]/i)){return 0}this.i+=c.length;return 1}});b.Environment=function(c){a.environment[c]=["BeginEnv",[null,"EndEnv"]].concat([].slice.call(arguments,1));a.environment[c].isUser=true};MathJax.Hub.Startup.signal.Post("TeX newcommand Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/newcommand.js");
+MathJax.Extension["TeX/newcommand"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.InputJax.TeX;var a=b.Definitions;a.Add({macros:{newcommand:"NewCommand",renewcommand:"NewCommand",newenvironment:"NewEnvironment",renewenvironment:"NewEnvironment",def:"MacroDef",let:"Let"}},null,true);b.Parse.Augment({NewCommand:function(c){var e=this.trimSpaces(this.GetArgument(c)),g=this.GetBrackets(c),d=this.GetBrackets(c),f=this.GetArgument(c);if(e.charAt(0)==="\\"){e=e.substr(1)}if(!e.match(/^(.|[a-z]+)$/i)){b.Error(["IllegalControlSequenceName","Illegal control sequence name for %1",c])}if(g){g=this.trimSpaces(g);if(!g.match(/^[0-9]+$/)){b.Error(["IllegalParamNumber","Illegal number of parameters specified in %1",c])}}this.setDef(e,["Macro",f,g,d])},NewEnvironment:function(d){var f=this.trimSpaces(this.GetArgument(d)),h=this.GetBrackets(d),e=this.GetBrackets(d),g=this.GetArgument(d),c=this.GetArgument(d);if(h){h=this.trimSpaces(h);if(!h.match(/^[0-9]+$/)){b.Error(["IllegalParamNumber","Illegal number of parameters specified in %1",d])}}this.setEnv(f,["BeginEnv",[null,"EndEnv"],g,c,h,e])},MacroDef:function(c){var d=this.GetCSname(c),f=this.GetTemplate(c,"\\"+d),e=this.GetArgument(c);if(!(f instanceof Array)){this.setDef(d,["Macro",e,f])}else{this.setDef(d,["MacroWithTemplate",e].concat(f))}},Let:function(d){var e=this.GetCSname(d),f;var g=this.GetNext();if(g==="="){this.i++;g=this.GetNext()}if(g==="\\"){d=this.GetCSname(d);f=this.csFindMacro(d);if(!f){if(a.mathchar0mi.hasOwnProperty(d)){f=["csMathchar0mi",a.mathchar0mi[d]]}else{if(a.mathchar0mo.hasOwnProperty(d)){f=["csMathchar0mo",a.mathchar0mo[d]]}else{if(a.mathchar7.hasOwnProperty(d)){f=["csMathchar7",a.mathchar7[d]]}else{if(a.delimiter.hasOwnProperty("\\"+d)){f=["csDelimiter",a.delimiter["\\"+d]]}else{return}}}}}}else{f=["Macro",g];this.i++}this.setDef(e,f)},GetCSname:function(e){var f=this.GetNext();if(f!=="\\"){b.Error(["MissingCS","%1 must be followed by a control sequence",e])}var d=this.trimSpaces(this.GetArgument(e));return d.substr(1)},GetTemplate:function(f,e){var j,g=[],h=0;j=this.GetNext();var d=this.i;while(this.i<this.string.length){j=this.GetNext();if(j==="#"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}j=this.string.charAt(++this.i);if(!j.match(/^[1-9]$/)){b.Error(["CantUseHash2","Illegal use of # in template for %1",e])}if(parseInt(j)!=++h){b.Error(["SequentialParam","Parameters for %1 must be numbered sequentially",e])}d=this.i+1}else{if(j==="{"){if(d!==this.i){g[h]=this.string.substr(d,this.i-d)}if(g.length>0){return[h,g]}else{return h}}}this.i++}b.Error(["MissingReplacementString","Missing replacement string for definition of %1",f])},MacroWithTemplate:function(d,g,h,f){if(h){var c=[];this.GetNext();if(f[0]&&!this.MatchParam(f[0])){b.Error(["MismatchUseDef","Use of %1 doesn't match its definition",d])}for(var e=0;e<h;e++){c.push(this.GetParameter(d,f[e+1]))}g=this.SubstituteArgs(c,g)}this.string=this.AddArgs(g,this.string.slice(this.i));this.i=0;if(++this.macroCount>b.config.MAXMACROS){b.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},BeginEnv:function(g,k,c,j,h){if(j){var e=[];if(h!=null){var d=this.GetBrackets("\\begin{"+name+"}");e.push(d==null?h:d)}for(var f=e.length;f<j;f++){e.push(this.GetArgument("\\begin{"+name+"}"))}k=this.SubstituteArgs(e,k);c=this.SubstituteArgs([],c)}this.string=this.AddArgs(k,this.string.slice(this.i));this.i=0;return g},EndEnv:function(e,g,d,f){var c="\\end{\\end\\"+e.name+"}";this.string=this.AddArgs(d,c+this.string.slice(this.i));this.i=0;return null},GetParameter:function(f,k){if(k==null){return this.GetArgument(f)}var h=this.i,e=0,g=0;while(this.i<this.string.length){var l=this.string.charAt(this.i);if(l==="{"){if(this.i===h){g=1}this.GetArgument(f);e=this.i-h}else{if(this.MatchParam(k)){if(g){h++;e-=2}return this.string.substr(h,e)}else{if(l==="\\"){this.i++;e++;g=0;var d=this.string.substr(this.i).match(/[a-z]+|./i);if(d){this.i+=d[0].length;e=this.i-h}}else{this.i++;e++;g=0}}}}b.Error(["RunawayArgument","Runaway argument for %1?",f])},MatchParam:function(c){if(this.string.substr(this.i,c.length)!==c){return 0}if(c.match(/\\[a-z]+$/i)&&this.string.charAt(this.i+c.length).match(/[a-z]/i)){return 0}this.i+=c.length;return 1}});b.Environment=function(c){a.environment[c]=["BeginEnv",[null,"EndEnv"]].concat([].slice.call(arguments,1));a.environment[c].isUser=true};MathJax.Hub.Startup.signal.Post("TeX newcommand Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/newcommand.js");
diff --git a/extensions/TeX/noErrors.js b/extensions/TeX/noErrors.js
index 6dcf674901..b9c3338973 100644
--- a/extensions/TeX/noErrors.js
+++ b/extensions/TeX/noErrors.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/noErrors.js
+ *  /MathJax-v2/extensions/TeX/noErrors.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(b,e){var d="2.7.6";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
+(function(b,e){var d="2.7.9";var a=b.CombineConfig("TeX.noErrors",{disabled:false,multiLine:true,inlineDelimiters:["",""],style:{"font-size":"90%","text-align":"left",color:"black",padding:"1px 3px",border:"1px solid"}});var c="\u00A0";MathJax.Extension["TeX/noErrors"]={version:d,config:a};b.Register.StartupHook("TeX Jax Ready",function(){var f=MathJax.InputJax.TeX.formatError;MathJax.InputJax.TeX.Augment({formatError:function(j,i,k,g){if(a.disabled){return f.apply(this,arguments)}var h=j.message.replace(/\n.*/,"");b.signal.Post(["TeX Jax - parse error",h,i,k,g]);var m=a.inlineDelimiters;var l=(k||a.multiLine);if(!k){i=m[0]+i+m[1]}if(l){i=i.replace(/ /g,c)}else{i=i.replace(/\n/g," ")}return MathJax.ElementJax.mml.merror(i).With({isError:true,multiLine:l})}})});b.Register.StartupHook("HTML-CSS Jax Config",function(){b.Config({"HTML-CSS":{styles:{".MathJax .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("HTML-CSS Jax Ready",function(){var g=MathJax.ElementJax.mml;var h=MathJax.OutputJax["HTML-CSS"];var f=g.math.prototype.toHTML,i=g.merror.prototype.toHTML;g.math.Augment({toHTML:function(j,k){var l=this.data[0];if(l&&l.data[0]&&l.data[0].isError){j.style.fontSize="";j=this.HTMLcreateSpan(j);j.bbox=l.data[0].toHTML(j).bbox}else{j=f.apply(this,arguments)}return j}});g.merror.Augment({toHTML:function(p){if(!this.isError){return i.apply(this,arguments)}p=this.HTMLcreateSpan(p);p.className="noError";if(this.multiLine){p.style.display="inline-block"}var r=this.data[0].data[0].data.join("").split(/\n/);for(var o=0,l=r.length;o<l;o++){h.addText(p,r[o]);if(o!==l-1){h.addElement(p,"br",{isMathJax:true})}}var q=h.getHD(p.parentNode),k=h.getW(p.parentNode);if(l>1){var n=(q.h+q.d)/2,j=h.TeX.x_height/2;p.parentNode.style.verticalAlign=h.Em(q.d+(j-n));q.h=j+n;q.d=n-j}p.bbox={h:q.h,d:q.d,w:k,lw:0,rw:k};return p}})});b.Register.StartupHook("SVG Jax Config",function(){b.Config({SVG:{styles:{".MathJax_SVG .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("SVG Jax Ready",function(){var g=MathJax.ElementJax.mml;var f=g.math.prototype.toSVG,h=g.merror.prototype.toSVG;g.math.Augment({toSVG:function(i,j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){i=k.data[0].toSVG(i)}else{i=f.apply(this,arguments)}return i}});g.merror.Augment({toSVG:function(n){if(!this.isError||this.Parent().type!=="math"){return h.apply(this,arguments)}n=e.addElement(n,"span",{className:"noError",isMathJax:true});if(this.multiLine){n.style.display="inline-block"}var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,j=o.length;l<j;l++){e.addText(n,o[l]);if(l!==j-1){e.addElement(n,"br",{isMathJax:true})}}if(j>1){var k=n.offsetHeight/2;n.style.verticalAlign=(-k+(k/j))+"px"}return n}})});b.Register.StartupHook("NativeMML Jax Ready",function(){var h=MathJax.ElementJax.mml;var g=MathJax.Extension["TeX/noErrors"].config;var f=h.math.prototype.toNativeMML,i=h.merror.prototype.toNativeMML;h.math.Augment({toNativeMML:function(j){var k=this.data[0];if(k&&k.data[0]&&k.data[0].isError){j=k.data[0].toNativeMML(j)}else{j=f.apply(this,arguments)}return j}});h.merror.Augment({toNativeMML:function(n){if(!this.isError){return i.apply(this,arguments)}n=n.appendChild(document.createElement("span"));var o=this.data[0].data[0].data.join("").split(/\n/);for(var l=0,k=o.length;l<k;l++){n.appendChild(document.createTextNode(o[l]));if(l!==k-1){n.appendChild(document.createElement("br"))}}if(this.multiLine){n.style.display="inline-block";if(k>1){n.style.verticalAlign="middle"}}for(var p in g.style){if(g.style.hasOwnProperty(p)){var j=p.replace(/-./g,function(m){return m.charAt(1).toUpperCase()});n.style[j]=g.style[p]}}return n}})});b.Register.StartupHook("PreviewHTML Jax Config",function(){b.Config({PreviewHTML:{styles:{".MathJax_PHTML .noError":b.Insert({"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("PreviewHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var h=MathJax.HTML;var g=f.merror.prototype.toPreviewHTML;f.merror.Augment({toPreviewHTML:function(l){if(!this.isError){return g.apply(this,arguments)}l=this.PHTMLcreateSpan(l);l.className="noError";if(this.multiLine){l.style.display="inline-block"}var n=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=n.length;k<j;k++){h.addText(l,n[k]);if(k!==j-1){h.addElement(l,"br",{isMathJax:true})}}return l}})});b.Register.StartupHook("CommonHTML Jax Config",function(){b.Config({CommonHTML:{styles:{".mjx-chtml .mjx-noError":b.Insert({"line-height":1.2,"vertical-align":(b.Browser.isMSIE&&a.multiLine?"-2px":"")},a.style)}}})});b.Register.StartupHook("CommonHTML Jax Ready",function(){var f=MathJax.ElementJax.mml;var g=MathJax.OutputJax.CommonHTML;var i=MathJax.HTML;var h=f.merror.prototype.toCommonHTML;f.merror.Augment({toCommonHTML:function(n){if(!this.isError){return h.apply(this,arguments)}n=g.addElement(n,"mjx-noError");var p=this.data[0].data[0].data.join("").split(/\n/);for(var k=0,j=p.length;k<j;k++){i.addText(n,p[k]);if(k!==j-1){g.addElement(n,"br",{isMathJax:true})}}var o=this.CHTML=g.BBOX.zero();o.w=(n.offsetWidth)/g.em;if(j>1){var l=1.2*j/2;o.h=l+0.25;o.d=l-0.25;n.style.verticalAlign=g.Em(0.45-l)}else{o.h=1;o.d=0.2+2/g.em}return n}})});b.Startup.signal.Post("TeX noErrors Ready")})(MathJax.Hub,MathJax.HTML);MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noErrors.js");
diff --git a/extensions/TeX/noUndefined.js b/extensions/TeX/noUndefined.js
index f4100a764a..7a600d3152 100644
--- a/extensions/TeX/noUndefined.js
+++ b/extensions/TeX/noUndefined.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/noUndefined.js
+ *  /MathJax-v2/extensions/TeX/noUndefined.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/noUndefined"]={version:"2.7.6",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
+MathJax.Extension["TeX/noUndefined"]={version:"2.7.9",config:MathJax.Hub.CombineConfig("TeX.noUndefined",{disabled:false,attributes:{mathcolor:"red"}})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var b=MathJax.Extension["TeX/noUndefined"].config;var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX.Parse.prototype.csUndefined;MathJax.InputJax.TeX.Parse.Augment({csUndefined:function(d){if(b.disabled){return c.apply(this,arguments)}MathJax.Hub.signal.Post(["TeX Jax - undefined control sequence",d]);this.Push(a.mtext(d).With(b.attributes))}});MathJax.Hub.Startup.signal.Post("TeX noUndefined Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/noUndefined.js");
diff --git a/extensions/TeX/text-macros.js b/extensions/TeX/text-macros.js
new file mode 100644
index 0000000000..f56f6edce8
--- /dev/null
+++ b/extensions/TeX/text-macros.js
@@ -0,0 +1,19 @@
+/*
+ *  /MathJax-v2/extensions/TeX/text-macros.js
+ *
+ *  Copyright (c) 2009-2018 The MathJax Consortium
+ *
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ *
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ *
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Extension["TeX/text-macros"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var d=MathJax.InputJax.TeX;var c=d.Definitions;d.Parse.Augment({InternalMath:function(f,g){var e=b(f,{}).Parse();if(g!=null){e=[a.mstyle.apply(a,e).With({displaystyle:false,scriptlevel:g})]}else{if(e.length>1){e=[a.mrow.apply(a,e)]}}return e},Comment:function(e){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}this.i++},GetCS:function(){var e=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(e){this.i+=e[0].length;return e[1]}else{this.i++;return" "}}});var b=d.TextParser=d.Parse.Subclass({Init:function(f,e){this.env=MathJax.Hub.Insert({},e);this.stack={env:this.env};this.string=f;this.i=0;this.mml=[];this.text=""},textSpecial:{"\\":"ControlSequence","$":"Math","%":"Comment","^":"MathModeOnly",_:"MathModeOnly","&":"Misplaced","#":"Misplaced","~":"Tilde"," ":"Space","\t":"Space","\r":"Space","\n":"Space","\u00A0":"Tilde","{":"OpenBrace","}":"CloseBrace","`":"OpenQuote","'":"CloseQuote"},textMacros:{"(":"Math","$":"SelfQuote",_:"SelfQuote","%":"SelfQuote","{":"SelfQuote","}":"SelfQuote"," ":"SelfQuote","&":"SelfQuote","#":"SelfQuote","\\":"SelfQuote","'":["Accent","\u00B4"],"`":["Accent","\u0060"],"^":["Accent","^"],'"':["Accent","\u00A8"],"~":["Accent","~"],"=":["Accent","\u00AF"],".":["Accent","\u02D9"],u:["Accent","\u02D8"],v:["Accent","\u02C7"],emph:"Emph",rm:["SetFont",a.VARIANT.NORMAL],mit:["SetFont",a.VARIANT.ITALIC],oldstyle:["SetFont",a.VARIANT.OLDSTYLE],cal:["SetFont",a.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",a.VARIANT.BOLD],bbFont:["SetFont",a.VARIANT.DOUBLESTRUCK],scr:["SetFont",a.VARIANT.SCRIPT],frak:["SetFont",a.VARIANT.FRAKTUR],sf:["SetFont",a.VARIANT.SANSSERIF],tt:["SetFont",a.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],mathcal:"MathModeOnly",mathscr:"MathModeOnly",mathrm:"MathModeOnly",mathbf:"MathModeOnly",mathbb:"MathModeOnly",mathit:"MathModeOnly",mathfrak:"MathModeOnly",mathsf:"MathModeOnly",mathtt:"MathModeOnly",Bbb:["Macro","{\\bbFont #1}",1],textrm:["Macro","{\\rm #1}",1],textit:["Macro","{\\it #1}",1],textbf:["Macro","{\\bf #1}",1],textsf:["Macro","{\\sf #1}",1],texttt:["Macro","{\\tt #1}",1],dagger:["Insert","\u2020"],ddagger:["Insert","\u2021"],S:["Insert","\u00A7"]},useMathMacros:{",":true,":":true,">":true,";":true,"!":true,enspace:true,quad:true,qquad:true,thinspace:true,negthinspace:true,hskip:true,hspace:true,kern:true,mskip:true,mspace:true,mkern:true,rule:true,Rule:true,Space:true,color:true,href:true,unicode:true,ref:true,eqref:true},Parse:function(){var e;while((e=this.string.charAt(this.i++))){if(this.textSpecial.hasOwnProperty(e)){this[this.textSpecial[e]](e)}else{this.text+=e}}this.SaveText();return this.mml},ControlSequence:function(h){var f=this.GetCS(),e=h+f,g;if(this.textMacros.hasOwnProperty(f)){g=this.textMacros[f]}else{g=this.LookupCS(f);if(!g){this.Error(["UndefinedControlSequence","Undefined control sequence %1",e])}if((!(g instanceof Array)||g[0]!=="Macro")&&!this.useMathMacros.hasOwnProperty(f)){this.Error(["MathMacro","'%1' is only supported in math mode",e])}}if(g instanceof Array){if(!this.hasOwnProperty[g[0]]){this.SaveText()}this[g[0]].apply(this,[e].concat(g.slice(1)))}else{if(!this.hasOwnProperty[g]){this.SaveText()}this[g].call(this,e)}},LookupCS:function(e){if(c.macros.hasOwnProperty(e)){return c.macros[e]}if(c.mathchar0mi.hasOwnProperty(e)){return c.mathchar0mi[e]}if(c.mathchar0mo.hasOwnProperty(e)){return c.mathchar0mo[e]}if(c.mathchar7.hasOwnProperty(e)){return c.mathchar7[e]}if(c.delimiter.hasOwnProperty("\\"+e)){return c.delimiter["\\"+e]}return null},Math:function(f){this.SaveText();var g=this.i,e;var k=0,l;while((l=this.GetNext())){e=this.i++;switch(l){case"\\":var h=this.GetCS();if(h===")"){l="\\("}case"$":if(k===0&&f===l){this.Push(d.Parse(this.string.substr(g,e-g),this.env).mml());return}break;case"{":k++;break;case"}":if(k==0){this.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}k--;break}}this.Error(["MathNotTerminated","Math not terminated in text box"])},MathModeOnly:function(e){this.Error(["MathModeOnly","'%1' allowed only in math mode",e])},Misplaced:function(e){this.Error(["Misplaced","'%1' can not be used here",e])},OpenBrace:function(f){var e=this.env;this.env=MathJax.Hub.Insert({},e);this.env.oldEnv=e},CloseBrace:function(e){if(this.env.oldEnv){this.SaveText();this.env=this.env.oldEnv}else{this.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}},OpenQuote:function(e){if(this.string.charAt(this.i)===e){this.text+="\u201C";this.i++}else{this.text+="\u2018"}},CloseQuote:function(e){if(this.string.charAt(this.i)===e){this.text+="\u201D";this.i++}else{this.text+="\u2019"}},Tilde:function(e){this.text+="\u00A0"},Space:function(e){this.text+=" ";while(this.GetNext().match(/\s/)){this.i++}},SelfQuote:function(e){this.text+=e.substr(1)},Insert:function(e,f){this.text+=f},Accent:function(f,h){this.SaveText();var g=this.ParseArg(f);var e=a.mo(a.chars(h));if(this.env.mathvariant){e.mathvariant=this.env.mathvariant}this.Push(a.mover(g,e))},Emph:function(e){this.UseFont(e,this.env.mathvariant==="-tex-mathit"?"normal":"-tex-mathit")},UseFont:function(e,f){this.SaveText();this.Push(this.ParseTextArg(e,{mathvariant:f}))},SetFont:function(e,f){this.SaveText();this.env.mathvariant=f},SetSize:function(e,f){this.SaveText();this.env.mathsize=f},ParseTextArg:function(e,f){var g=this.GetArgument(e);f=MathJax.Hub.Insert(MathJax.Hub.Insert({},this.env),f);delete f.oldEnv;return b(g,f).Parse()},ParseArg:function(f){var e=b(this.GetArgument(f),this.env).Parse();if(e.length===0){return e[0]}return a.mrow.apply(a.mrow,e)},SaveText:function(){if(this.text){var e=a.mtext(a.chars(this.text));if(this.env.mathvariant){e.mathvariant=this.env.mathvariant}this.Push(e)}this.text=""},Push:function(e){if(e instanceof Array){if(this.env.mathsize||this.env.mathcolor){e=a.mstyle.apply(a,e);if(this.env.mathsize){e.mathsize=this.env.mathsize}if(this.env.mathcolor){e.mathcolor=this.env.mathcolor}}this.mml.push.apply(this.mml,e)}else{if(this.env.mathsize&&!e.mathsize){e.mathsize=this.env.mathsize}if(this.env.mathcolor&&!e.mathcolor){e.mathcolor=this.env.mathcolor}this.mml.push(e)}},Error:function(e){d.Error(e)}});MathJax.Hub.Startup.signal.Post("TeX text-macros Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/text-macros.js");
diff --git a/extensions/TeX/unicode.js b/extensions/TeX/unicode.js
index 9f82f47f5d..9266cf238b 100644
--- a/extensions/TeX/unicode.js
+++ b/extensions/TeX/unicode.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/unicode.js
+ *  /MathJax-v2/extensions/TeX/unicode.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/unicode"]={version:"2.7.6",unicode:{},config:MathJax.Hub.CombineConfig("TeX.unicode",{fonts:"STIXGeneral,'Arial Unicode MS'"})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX;var a=MathJax.ElementJax.mml;var b=MathJax.Extension["TeX/unicode"].unicode;c.Definitions.Add({macros:{unicode:"Unicode"}},null,true);c.Parse.Augment({Unicode:function(e){var i=this.GetBrackets(e),d;if(i){if(i.replace(/ /g,"").match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)){i=i.replace(/ /g,"").split(/,/);d=this.GetBrackets(e)}else{d=i;i=null}}var j=this.trimSpaces(this.GetArgument(e)).replace(/^0x/,"x");if(!j.match(/^(x[0-9A-Fa-f]+|[0-9]+)$/)){c.Error(["BadUnicode","Argument to \\unicode must be a number"])}var h=parseInt(j.match(/^x/)?"0"+j:j);if(!b[h]){b[h]=[800,200,d,h]}else{if(!d){d=b[h][2]}}if(i){b[h][0]=Math.floor(i[0]*1000);b[h][1]=Math.floor(i[1]*1000)}var f=this.stack.env.font,g={};if(d){b[h][2]=g.fontfamily=d.replace(/"/g,"'");if(f){if(f.match(/bold/)){g.fontweight="bold"}if(f.match(/italic|-mathit/)){g.fontstyle="italic"}}}else{if(f){g.mathvariant=f}}g.unicode=[].concat(b[h]);this.Push(a.mtext(a.entity("#"+j)).With(g))}});MathJax.Hub.Startup.signal.Post("TeX unicode Ready")});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.HTMLgetVariant;a.mbase.Augment({HTMLgetVariant:function(){var d=b.apply(this,arguments);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.defaultFont){d=MathJax.Hub.Insert({},d);d.defaultFont={family:c}}var e=this.unicode[2];if(e){e+=","+c}else{e=c}d.defaultFont[this.unicode[3]]=[this.unicode[0],this.unicode[1],500,0,500,{isUnknown:true,isUnicode:true,font:e}];return d}})});MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.SVGgetVariant;a.mbase.Augment({SVGgetVariant:function(){var d=b.call(this);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.forceFamily){d=MathJax.Hub.Insert({},d)}d.defaultFamily=c;d.noRemap=true;d.h=this.unicode[0];d.d=this.unicode[1];return d}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/unicode.js");
+MathJax.Extension["TeX/unicode"]={version:"2.7.9",unicode:{},config:MathJax.Hub.CombineConfig("TeX.unicode",{fonts:"STIXGeneral,'Arial Unicode MS'"})};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var c=MathJax.InputJax.TeX;var a=MathJax.ElementJax.mml;var b=MathJax.Extension["TeX/unicode"].unicode;c.Definitions.Add({macros:{unicode:"Unicode"}},null,true);c.Parse.Augment({Unicode:function(e){var i=this.GetBrackets(e),d;if(i){if(i.replace(/ /g,"").match(/^(\d+(\.\d*)?|\.\d+),(\d+(\.\d*)?|\.\d+)$/)){i=i.replace(/ /g,"").split(/,/);d=this.GetBrackets(e)}else{d=i;i=null}}var j=this.trimSpaces(this.GetArgument(e)).replace(/^0x/,"x");if(!j.match(/^(x[0-9A-Fa-f]+|[0-9]+)$/)){c.Error(["BadUnicode","Argument to \\unicode must be a number"])}var h=parseInt(j.match(/^x/)?"0"+j:j);if(!b[h]){b[h]=[800,200,d,h]}else{if(!d){d=b[h][2]}}if(i){b[h][0]=Math.floor(i[0]*1000);b[h][1]=Math.floor(i[1]*1000)}var f=this.stack.env.font,g={};if(d){b[h][2]=g.fontfamily=d.replace(/"/g,"'");if(f){if(f.match(/bold/)){g.fontweight="bold"}if(f.match(/italic|-mathit/)){g.fontstyle="italic"}}}else{if(f){g.mathvariant=f}}g.unicode=[].concat(b[h]);this.Push(a.mtext(a.entity("#"+j)).With(g))}});MathJax.Hub.Startup.signal.Post("TeX unicode Ready")});MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.HTMLgetVariant;a.mbase.Augment({HTMLgetVariant:function(){var d=b.apply(this,arguments);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.defaultFont){d=MathJax.Hub.Insert({},d);d.defaultFont={family:c}}var e=this.unicode[2];if(e){e+=","+c}else{e=c}d.defaultFont[this.unicode[3]]=[this.unicode[0],this.unicode[1],500,0,500,{isUnknown:true,isUnicode:true,font:e}];return d}})});MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.Extension["TeX/unicode"].config.fonts;var b=a.mbase.prototype.SVGgetVariant;a.mbase.Augment({SVGgetVariant:function(){var d=b.call(this);if(d.unicode){delete d.unicode;delete d.FONTS}if(!this.unicode){return d}d.unicode=true;if(!d.forceFamily){d=MathJax.Hub.Insert({},d)}d.defaultFamily=c;d.noRemap=true;d.h=this.unicode[0];d.d=this.unicode[1];return d}})});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/unicode.js");
diff --git a/extensions/TeX/verb.js b/extensions/TeX/verb.js
index 7916c6d836..2b2930ccfb 100644
--- a/extensions/TeX/verb.js
+++ b/extensions/TeX/verb.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/TeX/verb.js
+ *  /MathJax-v2/extensions/TeX/verb.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension["TeX/verb"]={version:"2.7.6"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX;var b=c.Definitions;b.Add({macros:{verb:"Verb"}},null,true);c.Parse.Augment({Verb:function(d){var g=this.GetNext();var f=++this.i;if(g==""){c.Error(["MissingArgFor","Missing argument for %1",d])}while(this.i<this.string.length&&this.string.charAt(this.i)!=g){this.i++}if(this.i==this.string.length){c.Error(["NoClosingDelim","Can't find closing delimiter for %1",d])}var e=this.string.slice(f,this.i).replace(/ /g,"\u00A0");this.i++;this.Push(a.mtext(e).With({mathvariant:a.VARIANT.MONOSPACE}))}});MathJax.Hub.Startup.signal.Post("TeX verb Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/verb.js");
+MathJax.Extension["TeX/verb"]={version:"2.7.9"};MathJax.Hub.Register.StartupHook("TeX Jax Ready",function(){var a=MathJax.ElementJax.mml;var c=MathJax.InputJax.TeX;var b=c.Definitions;b.Add({macros:{verb:"Verb"}},null,true);c.Parse.Augment({Verb:function(d){var g=this.GetNext();var f=++this.i;if(g==""){c.Error(["MissingArgFor","Missing argument for %1",d])}while(this.i<this.string.length&&this.string.charAt(this.i)!=g){this.i++}if(this.i==this.string.length){c.Error(["NoClosingDelim","Can't find closing delimiter for %1",d])}var e=this.string.slice(f,this.i).replace(/ /g,"\u00A0");this.i++;this.Push(a.mtext(e).With({mathvariant:a.VARIANT.MONOSPACE}))}});MathJax.Hub.Startup.signal.Post("TeX verb Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/TeX/verb.js");
diff --git a/extensions/a11y/accessibility-menu.js b/extensions/a11y/accessibility-menu.js
index 2d241f9774..27a9fca4dd 100644
--- a/extensions/a11y/accessibility-menu.js
+++ b/extensions/a11y/accessibility-menu.js
@@ -1 +1,89 @@
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);
\ No newline at end of file
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);
\ No newline at end of file
diff --git a/extensions/a11y/auto-collapse.js b/extensions/a11y/auto-collapse.js
index 640b9c2518..5b1ba8baa8 100644
--- a/extensions/a11y/auto-collapse.js
+++ b/extensions/a11y/auto-collapse.js
@@ -1 +1,251 @@
-!function(a){var b=a.config.menuSettings,c={},d=MathJax.Ajax.config.path;d.a11y||(d.a11y=a.config.root+"/extensions/a11y");var e=MathJax.Extension["auto-collapse"]={version:"1.5.0",config:a.CombineConfig("auto-collapse",{disabled:!1}),dependents:[],Enable:function(d,e){b.autocollapse=!0,e&&(c.autocollapse=!0),this.config.disabled=!1,MathJax.Extension.collapsible.Enable(!1,e),d&&a.Queue(["Reprocess",a],["CollapseWideMath",this])},Disable:function(d,e){b.autocollapse=!1,e&&(c.autocollapse=!1),this.config.disabled=!0;for(var f=this.dependents.length-1;f>=0;f--){var g=this.dependents[f];g.Disable&&g.Disable(!1,e)}d&&a.Queue(["Rerender",a])},Dependent:function(a){this.dependents.push(a)},Startup:function(){var b=MathJax.Extension.collapsible;b&&b.Dependent(this),a.postInputHooks.Add(["Filter",e],150),a.Queue(function(){return e.CollapseWideMath()}),window.addEventListener?window.addEventListener("resize",e.resizeHandler,!1):window.attachEvent?window.attachEvent("onresize",e.resizeHandler):window.onresize=e.resizeHandler},Filter:function(a,b,c){a.enriched&&!this.config.disabled&&("block"===a.root.Get("display")||c.parentNode.childNodes.length<=3)&&(a.root.SRE={action:this.Actions(a.root)})},Actions:function(a){var b=[];return this.getActions(a,0,b),this.sortActions(b)},getActions:function(a,b,c){if(!a.isToken&&a.data){b++;for(var d=0,e=a.data.length;d<e;d++)if(a.data[d]){var f=a.data[d];f.collapsible?(c[b]||(c[b]=[]),c[b].push(f),this.getActions(f.data[1],b,c)):this.getActions(f,b,c)}}},sortActions:function(a){for(var b=[],c=0,d=a.length;c<d;c++)a[c]&&(b=b.concat(a[c].sort(this.sortActionsBy)));return b},sortActionsBy:function(a,b){return a=a.data[1].complexity,b=b.data[1].complexity,a<b?-1:a>b?1:0},CollapseWideMath:function(b){if(!this.config.disabled){this.GetContainerWidths(b);var c=a.getAllJax(b),d={collapse:[],jax:c,m:c.length,i:0,changed:!1};return this.collapseState(d)}},collapseState:function(b){for(var c=b.collapse;b.i<b.m;){var d=b.jax[b.i],e=d.root.SRE;if(b.changed=!1,e&&e.action.length&&(e.cwidth<e.m||e.cwidth>e.M)){var f=this.getActionWidths(d,b);if(f)return f;this.collapseActions(e,b),b.changed&&c.push(d.SourceElement())}b.i++}if(0!==c.length)return 1===c.length&&(c=c[0]),a.Rerender(c)},collapseActions:function(a,b){for(var c=a.width,d=c,e=1e6,f=a.action.length-1;f>=0;f--){var g=a.action[f],h=g.selection;c>a.cwidth?(g.selection=1,d=g.SREwidth,e=c):g.selection=2,c=g.SREwidth,a.DOMupdate?document.getElementById(g.id).setAttribute("selection",g.selection):g.selection!==h&&(b.changed=!0)}a.m=d,a.M=e},getActionWidths:function(a,b){if(!a.root.SRE.actionWidths){MathJax.OutputJax[a.outputJax].getMetrics(a);try{this.computeActionWidths(a)}catch(a){if(!a.restart)throw a;return MathJax.Callback.After(["collapseState",this,b],a.restart)}b.changed=!0}return null},computeActionWidths:function(a){var b,c=a.root.SRE,d=c.action,e={};for(c.width=a.sreGetRootWidth(e),b=d.length-1;b>=0;b--)d[b].selection=2;for(b=d.length-1;b>=0;b--){var f=d[b];null==f.SREwidth&&(f.selection=1,f.SREwidth=a.sreGetActionWidth(e,f))}c.actionWidths=!0},GetContainerWidths:function(b){var c,d,e,f,g,h=a.getAllJax(b),i=MathJax.HTML.Element("span",{style:{display:"block"}}),j=[];for(c=0,d=h.length;c<d;c++)f=h[c],g=f.root,SRE=g.SRE,SRE&&SRE.action.length&&(null==SRE.width&&(f.sreGetMetrics(),SRE.m=SRE.width,SRE.M=1e6),e=f.SourceElement(),e.previousSibling.style.display="none",e.parentNode.insertBefore(i.cloneNode(!1),e),j.push([f,e]));for(c=0,d=j.length;c<d;c++)f=j[c][0],e=j[c][1],e.previousSibling.offsetWidth&&(f.root.SRE.cwidth=e.previousSibling.offsetWidth*f.root.SRE.em);for(c=0,d=j.length;c<d;c++)f=j[c][0],e=j[c][1],e.parentNode.removeChild(e.previousSibling),e.previousSibling.style.display=""},timer:null,running:!1,retry:!1,saved_delay:0,resizeHandler:function(a){if(!e.config.disabled){if(e.running)return void(e.retry=!0);e.timer&&clearTimeout(e.timer),e.timer=setTimeout(e.resizeAction,100)}},resizeAction:function(){e.timer=null,e.running=!0,a.Queue(function(){e.saved_delay=a.processSectionDelay,a.processSectionDelay=0},["CollapseWideMath",e],["resizeCheck",e])},resizeCheck:function(){e.running=!1,a.processSectionDelay=e.saved_delay,e.retry&&(e.retry=!1,setTimeout(e.resizeHandler,0))}};a.Register.StartupHook("End Extensions",function(){null==b.autocollapse?b.autocollapse=!e.config.disabled:e.config.disabled=!b.autocollapse,a.Register.StartupHook("MathMenu Ready",function(){c=MathJax.Menu.cookie;var a,d=function(a){e[b.autocollapse?"Enable":"Disable"](!0,!0),MathJax.Menu.saveCookie()},f=MathJax.Menu.ITEM,g=MathJax.Menu.menu,h=f.CHECKBOX(["AutoCollapse","Auto Collapse"],"autocollapse",{action:d}),i=(g.FindId("Accessibility")||{}).submenu;i?(a=i.IndexOfId("AutoCollapse"),null!==a?i.items[a]=h:(a=i.IndexOfId("CollapsibleMath"),i.items.splice(a+1,0,h))):(a=g.IndexOfId("CollapsibleMath"),g.items.splice(a+1,0,h));var j=function(){e[b.autocollapse?"Enable":"Disable"]()};MathJax.Extension.collapse?j():MathJax.Hub.Register.StartupHook("Auto Collapse Ready",j)},25)},25)}(MathJax.Hub),MathJax.ElementJax.Augment({sreGetMetrics:function(){MathJax.OutputJax[this.outputJax].sreGetMetrics(this,this.root.SRE)},sreGetRootWidth:function(a){return MathJax.OutputJax[this.outputJax].sreGetRootWidth(this,a)},sreGetActionWidth:function(a,b){return MathJax.OutputJax[this.outputJax].sreGetActionWidth(this,a,b)}}),MathJax.OutputJax.Augment({getMetrics:function(){},sreGetMetrics:function(a,b){b.cwidth=1e6,b.width=0,b.em=12},sreGetRootWidth:function(a,b){return 0},sreGetActionWidth:function(a,b,c){return 0}}),MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){MathJax.OutputJax["HTML-CSS"].Augment({sreGetMetrics:function(a,b){b.width=a.root.data[0].HTMLspanElement().parentNode.bbox.w,b.em=1/a.HTMLCSS.em/a.HTMLCSS.scale},sreGetRootWidth:function(a,b){var c=a.root.data[0].HTMLspanElement();return b.box=c.parentNode,b.box.bbox.w},sreGetActionWidth:function(a,b,c){return a.root.data[0].toHTML(b.box).bbox.w}})}),MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){MathJax.OutputJax.SVG.Augment({getMetrics:function(a){this.em=MathJax.ElementJax.mml.mbase.prototype.em=a.SVG.em,this.ex=a.SVG.ex,this.linebreakWidth=a.SVG.lineWidth,this.cwidth=a.SVG.cwidth},sreGetMetrics:function(a,b){b.width=a.root.SVGdata.w/1e3,b.em=1/a.SVG.em},sreGetRootWidth:function(a,b){return b.span=document.getElementById(a.inputID+"-Frame"),a.root.SVGdata.w/1e3},sreGetActionWidth:function(a,b,c){this.mathDiv=b.span,b.span.appendChild(this.textSVG);try{a.root.data[0].toSVG()}catch(a){var d=a}if(b.span.removeChild(this.textSVG),d)throw d;return a.root.data[0].SVGdata.w/1e3}})}),MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){MathJax.OutputJax.CommonHTML.Augment({sreGetMetrics:function(a,b){b.width=a.root.CHTML.w,b.em=1/a.CHTML.em/a.CHTML.scale},sreGetRootWidth:function(a,b){return b.span=document.getElementById(a.inputID+"-Frame").firstChild,b.tmp=document.createElement("span"),b.tmp.className=b.span.className,a.root.CHTML.w/a.CHTML.scale},sreGetActionWidth:function(a,b,c){b.span.parentNode.replaceChild(b.tmp,b.span),MathJax.OutputJax.CommonHTML.CHTMLnode=b.tmp;try{a.root.data[0].toCommonHTML(b.tmp)}catch(a){var d=a}if(b.tmp.parentNode.replaceChild(b.span,b.tmp),d)throw d;return a.root.data[0].CHTML.w/a.CHTML.scale}})}),MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){MathJax.OutputJax.NativeMML.Augment({sreGetMetrics:function(a,b){var c=document.getElementById(a.inputID+"-Frame");b.width=c.offsetWidth,b.em=1,b.DOMupdate=!0},sreGetRootWidth:function(a,b){return b.span=document.getElementById(a.inputID+"-Frame").firstChild,b.span.offsetWidth},sreGetActionWidth:function(a,b,c){return document.getElementById(c.id).setAttribute("selection",1),b.span.offsetWidth}})}),MathJax.Ajax.Require("[a11y]/collapsible.js"),MathJax.Hub.Register.StartupHook("Collapsible Ready",function(){MathJax.Extension["auto-collapse"].Startup(),MathJax.Hub.Startup.signal.Post("Auto Collapse Ready"),MathJax.Ajax.loadComplete("[a11y]/auto-collapse.js")});
\ No newline at end of file
+!function(c) {
+    var s = c.config.menuSettings, r = {}, t = MathJax.Ajax.config.path;
+    t.a11y || (t.a11y = c.config.root + "/extensions/a11y");
+    var l = MathJax.Extension["auto-collapse"] = {
+        version: "1.6.0",
+        config: c.CombineConfig("auto-collapse", {
+            disabled: !1
+        }),
+        dependents: [],
+        Enable: function(t, e) {
+            s.autocollapse = !0, e && (r.autocollapse = !0), this.config.disabled = !1, MathJax.Extension.collapsible.Enable(!1, e), 
+            t && c.Queue([ "Reprocess", c ], [ "CollapseWideMath", this ]);
+        },
+        Disable: function(t, e) {
+            s.autocollapse = !1, e && (r.autocollapse = !1), this.config.disabled = !0;
+            for (var n = this.dependents.length - 1; 0 <= n; n--) {
+                var o = this.dependents[n];
+                o.Disable && o.Disable(!1, e);
+            }
+            t && c.Queue([ "Rerender", c ]);
+        },
+        Dependent: function(t) {
+            this.dependents.push(t);
+        },
+        Startup: function() {
+            var t = MathJax.Extension.collapsible;
+            t && t.Dependent(this), c.postInputHooks.Add([ "Filter", l ], 150), c.Queue(function() {
+                return l.CollapseWideMath();
+            }), window.addEventListener ? window.addEventListener("resize", l.resizeHandler, !1) : window.attachEvent ? window.attachEvent("onresize", l.resizeHandler) : window.onresize = l.resizeHandler;
+        },
+        Filter: function(t, e, n) {
+            t.enriched && !this.config.disabled && ("block" === t.root.Get("display") || n.parentNode.childNodes.length <= 3) && (t.root.SRE = {
+                action: this.Actions(t.root)
+            });
+        },
+        Actions: function(t) {
+            var e = [];
+            return this.getActions(t, 0, e), this.sortActions(e);
+        },
+        getActions: function(t, e, n) {
+            if (!t.isToken && t.data) {
+                e++;
+                for (var o, i = 0, a = t.data.length; i < a; i++) {
+                    t.data[i] && ((o = t.data[i]).collapsible ? (n[e] || (n[e] = []), n[e].push(o), 
+                    this.getActions(o.data[1], e, n)) : this.getActions(o, e, n));
+                }
+            }
+        },
+        sortActions: function(t) {
+            for (var e = [], n = 0, o = t.length; n < o; n++) t[n] && (e = e.concat(t[n].sort(this.sortActionsBy)));
+            return e;
+        },
+        sortActionsBy: function(t, e) {
+            return (t = t.data[1].complexity) < (e = e.data[1].complexity) ? -1 : e < t ? 1 : 0;
+        },
+        CollapseWideMath: function(t) {
+            if (!this.config.disabled) {
+                this.GetContainerWidths(t);
+                var e = c.getAllJax(t), n = {
+                    collapse: [],
+                    jax: e,
+                    m: e.length,
+                    i: 0,
+                    changed: !1
+                };
+                return this.collapseState(n);
+            }
+        },
+        collapseState: function(t) {
+            for (var e = t.collapse; t.i < t.m; ) {
+                var n = t.jax[t.i], o = n.root.SRE;
+                if (t.changed = !1, o && o.action.length && (o.cwidth < o.m || o.cwidth > o.M)) {
+                    var i = this.getActionWidths(n, t);
+                    if (i) return i;
+                    this.collapseActions(o, t), t.changed && e.push(n.SourceElement());
+                }
+                t.i++;
+            }
+            if (0 !== e.length) return 1 === e.length && (e = e[0]), c.Rerender(e);
+        },
+        collapseActions: function(t, e) {
+            for (var n = t.width, o = n, i = 1e6, a = t.action.length - 1; 0 <= a; a--) {
+                var s = t.action[a], r = s.selection;
+                n > t.cwidth ? (s.selection = 1, o = s.SREwidth, i = n) : s.selection = 2, n = s.SREwidth, 
+                t.DOMupdate ? document.getElementById(s.id).setAttribute("selection", s.selection) : s.selection !== r && (e.changed = !0);
+            }
+            t.m = o, t.M = i;
+        },
+        getActionWidths: function(t, e) {
+            if (!t.root.SRE.actionWidths) {
+                MathJax.OutputJax[t.outputJax].getMetrics(t);
+                try {
+                    this.computeActionWidths(t);
+                } catch (t) {
+                    if (!t.restart) throw t;
+                    return MathJax.Callback.After([ "collapseState", this, e ], t.restart);
+                }
+                e.changed = !0;
+            }
+            return null;
+        },
+        computeActionWidths: function(t) {
+            var e, n = t.root.SRE, o = n.action, i = {};
+            for (n.width = t.sreGetRootWidth(i), e = o.length - 1; 0 <= e; e--) o[e].selection = 2;
+            for (e = o.length - 1; 0 <= e; e--) {
+                var a = o[e];
+                null == a.SREwidth && (a.selection = 1, a.SREwidth = t.sreGetActionWidth(i, a));
+            }
+            n.actionWidths = !0;
+        },
+        GetContainerWidths: function(t) {
+            for (var e, n, o, i = c.getAllJax(t), a = MathJax.HTML.Element("span", {
+                style: {
+                    display: "block"
+                }
+            }), s = [], r = 0, l = i.length; r < l; r++) o = (n = i[r]).root, SRE = o.SRE, SRE && SRE.action.length && (null == SRE.width && (n.sreGetMetrics(), 
+            SRE.m = SRE.width, SRE.M = 1e6), (e = n.SourceElement()).previousSibling.style.display = "none", 
+            e.parentNode.insertBefore(a.cloneNode(!1), e), s.push([ n, e ]));
+            for (r = 0, l = s.length; r < l; r++) n = s[r][0], (e = s[r][1]).previousSibling.offsetWidth && (n.root.SRE.cwidth = e.previousSibling.offsetWidth * n.root.SRE.em);
+            for (r = 0, l = s.length; r < l; r++) n = s[r][0], (e = s[r][1]).parentNode.removeChild(e.previousSibling), 
+            e.previousSibling.style.display = "";
+        },
+        timer: null,
+        running: !1,
+        retry: !1,
+        saved_delay: 0,
+        resizeHandler: function(t) {
+            l.config.disabled || (l.running ? l.retry = !0 : (l.timer && clearTimeout(l.timer), 
+            l.timer = setTimeout(l.resizeAction, 100)));
+        },
+        resizeAction: function() {
+            l.timer = null, l.running = !0, c.Queue(function() {
+                l.saved_delay = c.processSectionDelay, c.processSectionDelay = 0;
+            }, [ "CollapseWideMath", l ], [ "resizeCheck", l ]);
+        },
+        resizeCheck: function() {
+            l.running = !1, c.processSectionDelay = l.saved_delay, l.retry && (l.retry = !1, 
+            setTimeout(l.resizeHandler, 0));
+        }
+    };
+    c.Register.StartupHook("End Extensions", function() {
+        null == s.autocollapse ? s.autocollapse = !l.config.disabled : l.config.disabled = !s.autocollapse, 
+        c.Register.StartupHook("MathMenu Ready", function() {
+            r = MathJax.Menu.cookie;
+            var t, e = MathJax.Menu.ITEM, n = MathJax.Menu.menu, o = e.CHECKBOX([ "AutoCollapse", "Auto Collapse" ], "autocollapse", {
+                action: function(t) {
+                    l[s.autocollapse ? "Enable" : "Disable"](!0, !0), MathJax.Menu.saveCookie();
+                }
+            }), i = (n.FindId("Accessibility") || {}).submenu;
+            i ? null !== (t = i.IndexOfId("AutoCollapse")) ? i.items[t] = o : (t = i.IndexOfId("CollapsibleMath"), 
+            i.items.splice(t + 1, 0, o)) : (t = n.IndexOfId("CollapsibleMath"), n.items.splice(t + 1, 0, o));
+            function a() {
+                l[s.autocollapse ? "Enable" : "Disable"]();
+            }
+            MathJax.Extension.collapse ? a() : MathJax.Hub.Register.StartupHook("Auto Collapse Ready", a);
+        }, 25);
+    }, 25);
+}(MathJax.Hub), MathJax.ElementJax.Augment({
+    sreGetMetrics: function() {
+        MathJax.OutputJax[this.outputJax].sreGetMetrics(this, this.root.SRE);
+    },
+    sreGetRootWidth: function(t) {
+        return MathJax.OutputJax[this.outputJax].sreGetRootWidth(this, t);
+    },
+    sreGetActionWidth: function(t, e) {
+        return MathJax.OutputJax[this.outputJax].sreGetActionWidth(this, t, e);
+    }
+}), MathJax.OutputJax.Augment({
+    getMetrics: function() {},
+    sreGetMetrics: function(t, e) {
+        e.cwidth = 1e6, e.width = 0, e.em = 12;
+    },
+    sreGetRootWidth: function(t, e) {
+        return 0;
+    },
+    sreGetActionWidth: function(t, e, n) {
+        return 0;
+    }
+}), MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready", function() {
+    MathJax.OutputJax["HTML-CSS"].Augment({
+        sreGetMetrics: function(t, e) {
+            e.width = t.root.data[0].HTMLspanElement().parentNode.bbox.w, e.em = 1 / t.HTMLCSS.em / t.HTMLCSS.scale;
+        },
+        sreGetRootWidth: function(t, e) {
+            var n = t.root.data[0].HTMLspanElement();
+            return e.box = n.parentNode, e.box.bbox.w;
+        },
+        sreGetActionWidth: function(t, e, n) {
+            return t.root.data[0].toHTML(e.box).bbox.w;
+        }
+    });
+}), MathJax.Hub.Register.StartupHook("SVG Jax Ready", function() {
+    MathJax.OutputJax.SVG.Augment({
+        getMetrics: function(t) {
+            this.em = MathJax.ElementJax.mml.mbase.prototype.em = t.SVG.em, this.ex = t.SVG.ex, 
+            this.linebreakWidth = t.SVG.lineWidth, this.cwidth = t.SVG.cwidth;
+        },
+        sreGetMetrics: function(t, e) {
+            e.width = t.root.SVGdata.w / 1e3, e.em = 1 / t.SVG.em;
+        },
+        sreGetRootWidth: function(t, e) {
+            return e.span = document.getElementById(t.inputID + "-Frame"), t.root.SVGdata.w / 1e3;
+        },
+        sreGetActionWidth: function(t, e, n) {
+            this.mathDiv = e.span, e.span.appendChild(this.textSVG);
+            try {
+                t.root.data[0].toSVG();
+            } catch (t) {
+                var o = t;
+            }
+            if (e.span.removeChild(this.textSVG), o) throw o;
+            return t.root.data[0].SVGdata.w / 1e3;
+        }
+    });
+}), MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready", function() {
+    MathJax.OutputJax.CommonHTML.Augment({
+        sreGetMetrics: function(t, e) {
+            e.width = t.root.CHTML.w, e.em = 1 / t.CHTML.em / t.CHTML.scale;
+        },
+        sreGetRootWidth: function(t, e) {
+            return e.span = document.getElementById(t.inputID + "-Frame").firstChild, e.tmp = document.createElement("span"), 
+            e.tmp.className = e.span.className, t.root.CHTML.w / t.CHTML.scale;
+        },
+        sreGetActionWidth: function(t, e, n) {
+            e.span.parentNode.replaceChild(e.tmp, e.span), MathJax.OutputJax.CommonHTML.CHTMLnode = e.tmp;
+            try {
+                t.root.data[0].toCommonHTML(e.tmp);
+            } catch (t) {
+                var o = t;
+            }
+            if (e.tmp.parentNode.replaceChild(e.span, e.tmp), o) throw o;
+            return t.root.data[0].CHTML.w / t.CHTML.scale;
+        }
+    });
+}), MathJax.Hub.Register.StartupHook("NativeMML Jax Ready", function() {
+    MathJax.OutputJax.NativeMML.Augment({
+        sreGetMetrics: function(t, e) {
+            var n = document.getElementById(t.inputID + "-Frame");
+            e.width = n.offsetWidth, e.em = 1, e.DOMupdate = !0;
+        },
+        sreGetRootWidth: function(t, e) {
+            return e.span = document.getElementById(t.inputID + "-Frame").firstChild, e.span.offsetWidth;
+        },
+        sreGetActionWidth: function(t, e, n) {
+            return document.getElementById(n.id).setAttribute("selection", 1), e.span.offsetWidth;
+        }
+    });
+}), MathJax.Ajax.Require("[a11y]/collapsible.js"), MathJax.Hub.Register.StartupHook("Collapsible Ready", function() {
+    MathJax.Extension["auto-collapse"].Startup(), MathJax.Hub.Startup.signal.Post("Auto Collapse Ready"), 
+    MathJax.Ajax.loadComplete("[a11y]/auto-collapse.js");
+});
\ No newline at end of file
diff --git a/extensions/a11y/collapsible.js b/extensions/a11y/collapsible.js
index a3254ed258..826e9299d7 100644
--- a/extensions/a11y/collapsible.js
+++ b/extensions/a11y/collapsible.js
@@ -1 +1,344 @@
-!function(a){var b,c=a.config.menuSettings,d={},e="data-semantic-complexity",f=MathJax.Ajax.config.path;f.a11y||(f.a11y=a.config.root+"/extensions/a11y");var g=MathJax.Extension.collapsible={version:"1.5.0",config:a.CombineConfig("collapsible",{disabled:!1}),dependents:[],COMPLEXATTR:e,COMPLEXITY:{TEXT:.5,TOKEN:.5,CHILD:1,SCRIPT:.8,SQRT:2,SUBSUP:2,UNDEROVER:2,FRACTION:2,ACTION:2,PHANTOM:0,XML:2,GLYPH:2},COLLAPSE:{identifier:3,number:3,text:10,infixop:15,relseq:15,multirel:15,fenced:18,bigop:20,integral:20,fraction:12,sqrt:9,root:12,vector:15,matrix:15,cases:15,superscript:9,subscript:9,subsup:9,punctuated:{endpunct:1e7,startpunct:1e7,value:12}},MARKER:{identifier:"x",number:"#",text:"...",appl:{"limit function":"lim",value:"f()"},fraction:"/",sqrt:"\u221a",root:"\u221a",superscript:"\u25fd\u02d9",subscript:"\u25fd.",subsup:"\u25fd:",vector:{binomial:"(:)",determinant:"|:|",value:"\u27e8:\u27e9"},matrix:{squarematrix:"[::]",rowvector:"\u27e8\u22ef\u27e9",columnvector:"\u27e8\u22ee\u27e9",determinant:"|::|",value:"(::)"},cases:"{:",infixop:{addition:"+",subtraction:"\u2212",multiplication:"\u22c5",implicit:"\u22c5",value:"+"},punctuated:{text:"...",value:","}},Enable:function(b,e){c.collapsible=!0,e&&(d.collapsible=!0),this.config.disabled=!1,MathJax.Extension["semantic-enrich"].Enable(!1,e),b&&a.Queue(["Reprocess",a])},Disable:function(b,e){c.collapsible=!1,e&&(d.collapsible=!1),this.config.disabled=!0;for(var f=this.dependents.length-1;f>=0;f--){var g=this.dependents[f];g.Disable&&g.Disable(!1,e)}b&&a.Queue(["Reprocess",a])},Dependent:function(a){this.dependents.push(a)},Startup:function(){b=MathJax.ElementJax.mml;var c=MathJax.Extension["semantic-enrich"];c&&c.Dependent(this),a.postInputHooks.Add(["Filter",g],100)},Filter:function(a,b,c){a.enriched&&!this.config.disabled&&(a.root=a.root.Collapse(),a.root.inputID=c.id)},Marker:function(a){return b.mtext("\u25c2"+a+"\u25b8").With({mathcolor:"blue",attr:{},attrNames:[]})},MakeAction:function(a,c){var d=b.maction(a).With({id:this.getActionID(),actiontype:"toggle",complexity:a.getComplexity(),collapsible:!0,attrNames:["id","actiontype","selection",e],attr:{},selection:2});if(d.attr[e]=d.complexity,"math"===c.type){var f=b.mrow().With({complexity:c.complexity,attrNames:[],attr:{}});f.Append.apply(f,c.data);for(var g,h=c.attrNames.length-1;g=c.attrNames[h];h--)"data-semantic-"===g.substr(0,14)&&(f.attr[g]=c.attr[g],f.attrNames.push(g),delete c.attr[g],c.attrNames.splice(h,1));f.complexity=c.complexity,d.Append(f),c.data=[],c.Append(d),c.complexity=d.complexity,d=c}else d.Append(c);return d},actionID:1,getActionID:function(){return"MJX-Collapse-"+this.actionID++},Collapse:function(a){a.getComplexity();var b=(a.attr||{})["data-semantic-type"];if(b)if(this["Collapse_"+b])a=this["Collapse_"+b](a);else if(this.COLLAPSE[b]&&this.MARKER[b]){var c=a.attr["data-semantic-role"],d=this.COLLAPSE[b];if("number"!=typeof d&&(d=d[c]||d.value),a.complexity>d){var e=this.MARKER[b];"string"!=typeof e&&(e=e[c]||e.value),a=this.MakeAction(this.Marker(e),a)}}return a},UncollapseChild:function(a,b,c){if(null==c&&(c=1),this.SplitAttribute(a,"children").length===c){var d=1===a.data.length&&a.data[0].inferred?a.data[0]:a;if(d&&d.data[b]&&d.data[b].collapsible)return d.SetData(b,d.data[b].data[1]),a.complexity=d.complexity=null,a.getComplexity(),1}return 0},FindChildText:function(a,b){var c=this.FindChild(a,b);return c?(c.CoreMO()||c).data.join(""):"?"},FindChild:function(a,b){if(a){if(a.attr&&a.attr["data-semantic-id"]===b)return a;if(!a.isToken)for(var c=0,d=a.data.length;c<d;c++){var e=this.FindChild(a.data[c],b);if(e)return e}}return null},SplitAttribute:function(a,b){return(a.attr["data-semantic-"+b]||"").split(/,/)},Collapse_fenced:function(a){if(this.UncollapseChild(a,1),a.complexity>this.COLLAPSE.fenced&&"leftright"===a.attr["data-semantic-role"]){var b=a.data[0].data.join("")+a.data[a.data.length-1].data.join("");a=this.MakeAction(this.Marker(b),a)}return a},Collapse_appl:function(a){if(this.UncollapseChild(a,2,2)){var b=this.MARKER.appl;b=b[a.attr["data-semantic-role"]]||b.value,a=this.MakeAction(this.Marker(b),a)}return a},Collapse_sqrt:function(a){return this.UncollapseChild(a,0),a.complexity>this.COLLAPSE.sqrt&&(a=this.MakeAction(this.Marker(this.MARKER.sqrt),a)),a},Collapse_root:function(a){return this.UncollapseChild(a,0),a.complexity>this.COLLAPSE.sqrt&&(a=this.MakeAction(this.Marker(this.MARKER.sqrt),a)),a},Collapse_enclose:function(a){if(1===this.SplitAttribute(a,"children").length){var b=1===a.data.length&&a.data[0].inferred?a.data[0]:a;if(b.data[0]&&b.data[0].collapsible){var c=b.data[0];b.SetData(0,c.data[1]),c.SetData(1,a),a=c}}return a},Collapse_bigop:function(a){if(a.complexity>this.COLLAPSE.bigop||"mo"!==a.data[0].type){var b=this.SplitAttribute(a,"content").pop(),c=g.FindChildText(a,b);a=this.MakeAction(this.Marker(c),a)}return a},Collapse_integral:function(a){if(a.complexity>this.COLLAPSE.integral||"mo"!==a.data[0].type){var b=this.SplitAttribute(a,"content")[0],c=g.FindChildText(a,b);a=this.MakeAction(this.Marker(c),a)}return a},Collapse_relseq:function(a){if(a.complexity>this.COLLAPSE.relseq){var b=this.SplitAttribute(a,"content"),c=g.FindChildText(a,b[0]);b.length>1&&(c+="\u22ef"),a=this.MakeAction(this.Marker(c),a)}return a},Collapse_multirel:function(a){if(a.complexity>this.COLLAPSE.multirel){var b=this.SplitAttribute(a,"content"),c=g.FindChildText(a,b[0])+"\u22ef";a=this.MakeAction(this.Marker(c),a)}return a},Collapse_superscript:function(a){return this.UncollapseChild(a,0,2),a.complexity>this.COLLAPSE.superscript&&(a=this.MakeAction(this.Marker(this.MARKER.superscript),a)),a},Collapse_subscript:function(a){return this.UncollapseChild(a,0,2),a.complexity>this.COLLAPSE.subscript&&(a=this.MakeAction(this.Marker(this.MARKER.subscript),a)),a},Collapse_subsup:function(a){return this.UncollapseChild(a,0,3),a.complexity>this.COLLAPSE.subsup&&(a=this.MakeAction(this.Marker(this.MARKER.subsup),a)),a}};a.Register.StartupHook("End Extensions",function(){null==c.collapsible?c.collapsible=!g.config.disabled:g.config.disabled=!c.collapsible,a.Register.StartupHook("MathMenu Ready",function(){d=MathJax.Menu.cookie;var a,b=function(a){g[c.collapsible?"Enable":"Disable"](!0,!0),MathJax.Menu.saveCookie()},e=MathJax.Menu.ITEM,f=MathJax.Menu.menu,h=e.CHECKBOX(["CollapsibleMath","Collapsible Math"],"collapsible",{action:b}),i=(f.FindId("Accessibility")||{}).submenu;i?(a=i.IndexOfId("CollapsibleMath"),null!==a?i.items[a]=h:i.items.push(e.RULE(),h)):(a=f.IndexOfId("About"),f.items.splice(a,0,h,e.RULE()))},15)},15)}(MathJax.Hub),MathJax.Ajax.Require("[a11y]/semantic-enrich.js"),MathJax.Hub.Register.StartupHook("Semantic Enrich Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.Extension.collapsible,c=b.COMPLEXITY,d=b.COMPLEXATTR;b.Startup(),a.mbase.Augment({Collapse:function(){return b.Collapse(this)},getComplexity:function(){if(null==this.complexity){var a=0;if(this.isToken)a=c.TEXT*this.data.join("").length+c.TOKEN;else{for(var b=0,e=this.data.length;b<e;b++)this.data[b]&&(this.SetData(b,this.data[b].Collapse()),a+=this.data[b].complexity);e>1&&(a+=e*c.CHILD)}!this.attrNames||"complexity"in this||this.attrNames.push(d),this.attr&&(this.attr[d]=a),this.complexity=a}return this.complexity},reportComplexity:function(){!this.attr||!this.attrNames||d in this.attr||(this.attrNames.push(d),this.attr[d]=this.complexity)}}),a.mfrac.Augment({getComplexity:function(){return null==this.complexity&&(this.SUPER(arguments).getComplexity.call(this),this.complexity*=c.SCRIPT,this.complexity+=c.FRACTION,this.attr[d]=this.complexity),this.complexity}}),a.msqrt.Augment({getComplexity:function(){return null==this.complexity&&(this.SUPER(arguments).getComplexity.call(this),this.complexity+=c.SQRT,this.attr[d]=this.complexity),this.complexity}}),a.mroot.Augment({getComplexity:function(){return null==this.complexity&&(this.SUPER(arguments).getComplexity.call(this),this.complexity-=(1-c.SCRIPT)*this.data[1].getComplexity(),this.complexity+=c.SQRT,this.attr[d]=this.complexity),this.complexity}}),a.msubsup.Augment({getComplexity:function(){if(null==this.complexity){var a=0;this.data[this.sub]&&(a=this.data[this.sub].getComplexity()+c.CHILD),this.data[this.sup]&&(a=Math.max(this.data[this.sup].getComplexity(),a)),a*=c.SCRIPT,this.data[this.sub]&&(a+=c.CHILD),this.data[this.sup]&&(a+=c.CHILD),this.data[this.base]&&(a+=this.data[this.base].getComplexity()+c.CHILD),this.complexity=a+c.SUBSUP,this.reportComplexity()}return this.complexity}}),a.munderover.Augment({getComplexity:function(){if(null==this.complexity){var a=0;this.data[this.sub]&&(a=this.data[this.sub].getComplexity()+c.CHILD),this.data[this.sup]&&(a=Math.max(this.data[this.sup].getComplexity(),a)),a*=c.SCRIPT,this.data[this.base]&&(a=Math.max(this.data[this.base].getComplexity(),a)),this.data[this.sub]&&(a+=c.CHILD),this.data[this.sup]&&(a+=c.CHILD),this.data[this.base]&&(a+=c.CHILD),this.complexity=a+c.UNDEROVER,this.reportComplexity()}return this.complexity}}),a.mphantom.Augment({getComplexity:function(){return this.complexity=c.PHANTOM,this.reportComplexity(),this.complexity}}),a.ms.Augment({getComplexity:function(){return this.SUPER(arguments).getComplexity.call(this),this.complexity+=this.Get("lquote").length*c.TEXT,this.complexity+=this.Get("rquote").length*c.TEXT,this.attr[d]=this.complexity,this.complexity}}),a.menclose.Augment({getComplexity:function(){return null==this.complexity&&(this.SUPER(arguments).getComplexity.call(this),this.complexity+=c.ACTION,this.attr[d]=this.complexity),this.complexity}}),a.maction.Augment({getComplexity:function(){return this.complexity=(this.collapsible?this.data[0]:this.selected()).getComplexity(),this.reportComplexity(),this.complexity}}),a.semantics.Augment({getComplexity:function(){return null==this.complexity&&(this.complexity=this.data[0]?this.data[0].getComplexity():0,this.reportComplexity()),this.complexity}}),a["annotation-xml"].Augment({getComplexity:function(){return this.complexity=c.XML,this.reportComplexity(),this.complexity}}),a.annotation.Augment({getComplexity:function(){return this.complexity=c.XML,this.reportComplexity(),this.complexity}}),a.mglyph.Augment({getComplexity:function(){return this.complexity=c.GLYPH,this.reportComplexity(),this.complexity}}),MathJax.Hub.Startup.signal.Post("Collapsible Ready"),MathJax.Ajax.loadComplete("[a11y]/collapsible.js")});
\ No newline at end of file
+!function(s) {
+    var n, l = s.config.menuSettings, o = {}, r = "data-semantic-complexity", t = MathJax.Ajax.config.path;
+    t.a11y || (t.a11y = s.config.root + "/extensions/a11y");
+    var h = MathJax.Extension.collapsible = {
+        version: "1.6.0",
+        config: s.CombineConfig("collapsible", {
+            disabled: !1
+        }),
+        dependents: [],
+        COMPLEXATTR: r,
+        COMPLEXITY: {
+            TEXT: .5,
+            TOKEN: .5,
+            CHILD: 1,
+            SCRIPT: .8,
+            SQRT: 2,
+            SUBSUP: 2,
+            UNDEROVER: 2,
+            FRACTION: 2,
+            ACTION: 2,
+            PHANTOM: 0,
+            XML: 2,
+            GLYPH: 2
+        },
+        COLLAPSE: {
+            identifier: 3,
+            number: 3,
+            text: 10,
+            infixop: 15,
+            relseq: 15,
+            multirel: 15,
+            fenced: 18,
+            bigop: 20,
+            integral: 20,
+            fraction: 12,
+            sqrt: 9,
+            root: 12,
+            vector: 15,
+            matrix: 15,
+            cases: 15,
+            superscript: 9,
+            subscript: 9,
+            subsup: 9,
+            punctuated: {
+                endpunct: 1e7,
+                startpunct: 1e7,
+                value: 12
+            }
+        },
+        MARKER: {
+            identifier: "x",
+            number: "#",
+            text: "...",
+            appl: {
+                "limit function": "lim",
+                value: "f()"
+            },
+            fraction: "/",
+            sqrt: "\u221a",
+            root: "\u221a",
+            superscript: "\u25fd\u02d9",
+            subscript: "\u25fd.",
+            subsup: "\u25fd:",
+            vector: {
+                binomial: "(:)",
+                determinant: "|:|",
+                value: "\u27e8:\u27e9"
+            },
+            matrix: {
+                squarematrix: "[::]",
+                rowvector: "\u27e8\u22ef\u27e9",
+                columnvector: "\u27e8\u22ee\u27e9",
+                determinant: "|::|",
+                value: "(::)"
+            },
+            cases: "{:",
+            infixop: {
+                addition: "+",
+                subtraction: "\u2212",
+                multiplication: "\u22c5",
+                implicit: "\u22c5",
+                value: "+"
+            },
+            punctuated: {
+                text: "...",
+                value: ","
+            }
+        },
+        Enable: function(t, i) {
+            l.collapsible = !0, i && (o.collapsible = !0), this.config.disabled = !1, MathJax.Extension["semantic-enrich"].Enable(!1, i), 
+            t && s.Queue([ "Reprocess", s ]);
+        },
+        Disable: function(t, i) {
+            l.collapsible = !1, i && (o.collapsible = !1), this.config.disabled = !0;
+            for (var e = this.dependents.length - 1; 0 <= e; e--) {
+                var a = this.dependents[e];
+                a.Disable && a.Disable(!1, i);
+            }
+            t && s.Queue([ "Reprocess", s ]);
+        },
+        Dependent: function(t) {
+            this.dependents.push(t);
+        },
+        Startup: function() {
+            n = MathJax.ElementJax.mml;
+            var t = MathJax.Extension["semantic-enrich"];
+            t && t.Dependent(this), s.postInputHooks.Add([ "Filter", h ], 100);
+        },
+        Filter: function(t, i, e) {
+            t.enriched && !this.config.disabled && (t.root = t.root.Collapse(), t.root.inputID = e.id);
+        },
+        Marker: function(t) {
+            return n.mtext("\u25c2" + t + "\u25b8").With({
+                mathcolor: "blue",
+                attr: {},
+                attrNames: []
+            });
+        },
+        MakeAction: function(t, i) {
+            var e = n.maction(t).With({
+                id: this.getActionID(),
+                actiontype: "toggle",
+                complexity: t.getComplexity(),
+                collapsible: !0,
+                attrNames: [ "id", "actiontype", "selection", r ],
+                attr: {},
+                selection: 2
+            });
+            if (e.attr[r] = e.complexity, "math" === i.type) {
+                var a = n.mrow().With({
+                    complexity: i.complexity,
+                    attrNames: [],
+                    attr: {}
+                });
+                a.Append.apply(a, i.data[0].data), i.data[0].data = [];
+                for (var s, l = i.attrNames.length - 1; s = i.attrNames[l]; l--) "data-semantic-" === s.substr(0, 14) && (a.attr[s] = i.attr[s], 
+                a.attrNames.push(s), delete i.attr[s], i.attrNames.splice(l, 1));
+                a.complexity = i.complexity, e.Append(a), i.Append(e), i.complexity = e.complexity, 
+                e = i;
+            } else e.Append(i);
+            return e;
+        },
+        actionID: 1,
+        getActionID: function() {
+            return "MJX-Collapse-" + this.actionID++;
+        },
+        Collapse: function(t) {
+            t.getComplexity();
+            var i, e, a, s = (t.attr || {})["data-semantic-type"];
+            return s && (this["Collapse_" + s] ? t = this["Collapse_" + s](t) : this.COLLAPSE[s] && this.MARKER[s] && (i = t.attr["data-semantic-role"], 
+            "number" != typeof (e = this.COLLAPSE[s]) && (e = e[i] || e.value), t.complexity > e && ("string" != typeof (a = this.MARKER[s]) && (a = a[i] || a.value), 
+            t = this.MakeAction(this.Marker(a), t)))), t;
+        },
+        UncollapseChild: function(t, i, e) {
+            if (null == e && (e = 1), this.SplitAttribute(t, "children").length === e) {
+                var a = 1 === t.data.length && t.data[0].inferred ? t.data[0] : t;
+                if (a && a.data[i] && a.data[i].collapsible) return a.SetData(i, a.data[i].data[1]), 
+                t.complexity = a.complexity = null, t.getComplexity(), 1;
+            }
+            return 0;
+        },
+        FindChildText: function(t, i) {
+            var e = this.FindChild(t, i);
+            return e ? (e.CoreMO() || e).data.join("") : "?";
+        },
+        FindChild: function(t, i) {
+            if (t) {
+                if (t.attr && t.attr["data-semantic-id"] === i) return t;
+                if (!t.isToken) for (var e = 0, a = t.data.length; e < a; e++) {
+                    var s = this.FindChild(t.data[e], i);
+                    if (s) return s;
+                }
+            }
+            return null;
+        },
+        SplitAttribute: function(t, i) {
+            return (t.attr["data-semantic-" + i] || "").split(/,/);
+        },
+        Collapse_fenced: function(t) {
+            var i;
+            return this.UncollapseChild(t, 1), t.complexity > this.COLLAPSE.fenced && "leftright" === t.attr["data-semantic-role"] && (i = t.data[0].data.join("") + t.data[t.data.length - 1].data.join(""), 
+            t = this.MakeAction(this.Marker(i), t)), t;
+        },
+        Collapse_appl: function(t) {
+            var i;
+            return this.UncollapseChild(t, 2, 2) && (i = (i = this.MARKER.appl)[t.attr["data-semantic-role"]] || i.value, 
+            t = this.MakeAction(this.Marker(i), t)), t;
+        },
+        Collapse_sqrt: function(t) {
+            return this.UncollapseChild(t, 0), t.complexity > this.COLLAPSE.sqrt && (t = this.MakeAction(this.Marker(this.MARKER.sqrt), t)), 
+            t;
+        },
+        Collapse_root: function(t) {
+            return this.UncollapseChild(t, 0), t.complexity > this.COLLAPSE.sqrt && (t = this.MakeAction(this.Marker(this.MARKER.sqrt), t)), 
+            t;
+        },
+        Collapse_enclose: function(t) {
+            var i, e;
+            return 1 !== this.SplitAttribute(t, "children").length || (i = 1 === t.data.length && t.data[0].inferred ? t.data[0] : t).data[0] && i.data[0].collapsible && (e = i.data[0], 
+            i.SetData(0, e.data[1]), e.SetData(1, t), t = e), t;
+        },
+        Collapse_bigop: function(t) {
+            var i, e;
+            return (t.complexity > this.COLLAPSE.bigop || "mo" !== t.data[0].type) && (i = this.SplitAttribute(t, "content").pop(), 
+            e = h.FindChildText(t, i), t = this.MakeAction(this.Marker(e), t)), t;
+        },
+        Collapse_integral: function(t) {
+            var i, e;
+            return (t.complexity > this.COLLAPSE.integral || "mo" !== t.data[0].type) && (i = this.SplitAttribute(t, "content")[0], 
+            e = h.FindChildText(t, i), t = this.MakeAction(this.Marker(e), t)), t;
+        },
+        Collapse_relseq: function(t) {
+            var i, e;
+            return t.complexity > this.COLLAPSE.relseq && (i = this.SplitAttribute(t, "content"), 
+            e = h.FindChildText(t, i[0]), 1 < i.length && (e += "\u22ef"), t = this.MakeAction(this.Marker(e), t)), 
+            t;
+        },
+        Collapse_multirel: function(t) {
+            var i, e;
+            return t.complexity > this.COLLAPSE.multirel && (i = this.SplitAttribute(t, "content"), 
+            e = h.FindChildText(t, i[0]) + "\u22ef", t = this.MakeAction(this.Marker(e), t)), 
+            t;
+        },
+        Collapse_superscript: function(t) {
+            return this.UncollapseChild(t, 0, 2), t.complexity > this.COLLAPSE.superscript && (t = this.MakeAction(this.Marker(this.MARKER.superscript), t)), 
+            t;
+        },
+        Collapse_subscript: function(t) {
+            return this.UncollapseChild(t, 0, 2), t.complexity > this.COLLAPSE.subscript && (t = this.MakeAction(this.Marker(this.MARKER.subscript), t)), 
+            t;
+        },
+        Collapse_subsup: function(t) {
+            return this.UncollapseChild(t, 0, 3), t.complexity > this.COLLAPSE.subsup && (t = this.MakeAction(this.Marker(this.MARKER.subsup), t)), 
+            t;
+        }
+    };
+    s.Register.StartupHook("End Extensions", function() {
+        null == l.collapsible ? l.collapsible = !h.config.disabled : h.config.disabled = !l.collapsible, 
+        s.Register.StartupHook("MathMenu Ready", function() {
+            o = MathJax.Menu.cookie;
+            var t, i = MathJax.Menu.ITEM, e = MathJax.Menu.menu, a = i.CHECKBOX([ "CollapsibleMath", "Collapsible Math" ], "collapsible", {
+                action: function(t) {
+                    h[l.collapsible ? "Enable" : "Disable"](!0, !0), MathJax.Menu.saveCookie();
+                }
+            }), s = (e.FindId("Accessibility") || {}).submenu;
+            s ? null !== (t = s.IndexOfId("CollapsibleMath")) ? s.items[t] = a : s.items.push(i.RULE(), a) : (t = e.IndexOfId("About"), 
+            e.items.splice(t, 0, a, i.RULE()));
+        }, 15);
+    }, 15);
+}(MathJax.Hub), MathJax.Ajax.Require("[a11y]/semantic-enrich.js"), MathJax.Hub.Register.StartupHook("Semantic Enrich Ready", function() {
+    var t = MathJax.ElementJax.mml, i = MathJax.Extension.collapsible, a = i.COMPLEXITY, s = i.COMPLEXATTR;
+    i.Startup(), t.mbase.Augment({
+        Collapse: function() {
+            return i.Collapse(this);
+        },
+        getComplexity: function() {
+            if (null == this.complexity) {
+                var t = 0;
+                if (this.isToken) t = a.TEXT * this.data.join("").length + a.TOKEN; else {
+                    for (var i = 0, e = this.data.length; i < e; i++) this.data[i] && (this.SetData(i, this.data[i].Collapse()), 
+                    t += this.data[i].complexity);
+                    1 < e && (t += e * a.CHILD);
+                }
+                !this.attrNames || "complexity" in this || this.attrNames.push(s), this.attr && (this.attr[s] = t), 
+                this.complexity = t;
+            }
+            return this.complexity;
+        },
+        reportComplexity: function() {
+            !this.attr || !this.attrNames || s in this.attr || (this.attrNames.push(s), this.attr[s] = this.complexity);
+        }
+    }), t.mfrac.Augment({
+        getComplexity: function() {
+            return null == this.complexity && (this.SUPER(arguments).getComplexity.call(this), 
+            this.complexity *= a.SCRIPT, this.complexity += a.FRACTION, this.attr[s] = this.complexity), 
+            this.complexity;
+        }
+    }), t.msqrt.Augment({
+        getComplexity: function() {
+            return null == this.complexity && (this.SUPER(arguments).getComplexity.call(this), 
+            this.complexity += a.SQRT, this.attr[s] = this.complexity), this.complexity;
+        }
+    }), t.mroot.Augment({
+        getComplexity: function() {
+            return null == this.complexity && (this.SUPER(arguments).getComplexity.call(this), 
+            this.complexity -= (1 - a.SCRIPT) * this.data[1].getComplexity(), this.complexity += a.SQRT, 
+            this.attr[s] = this.complexity), this.complexity;
+        }
+    }), t.msubsup.Augment({
+        getComplexity: function() {
+            var t;
+            return null == this.complexity && (t = 0, this.data[this.sub] && (t = this.data[this.sub].getComplexity() + a.CHILD), 
+            this.data[this.sup] && (t = Math.max(this.data[this.sup].getComplexity(), t)), t *= a.SCRIPT, 
+            this.data[this.sub] && (t += a.CHILD), this.data[this.sup] && (t += a.CHILD), this.data[this.base] && (t += this.data[this.base].getComplexity() + a.CHILD), 
+            this.complexity = t + a.SUBSUP, this.reportComplexity()), this.complexity;
+        }
+    }), t.munderover.Augment({
+        getComplexity: function() {
+            var t;
+            return null == this.complexity && (t = 0, this.data[this.sub] && (t = this.data[this.sub].getComplexity() + a.CHILD), 
+            this.data[this.sup] && (t = Math.max(this.data[this.sup].getComplexity(), t)), t *= a.SCRIPT, 
+            this.data[this.base] && (t = Math.max(this.data[this.base].getComplexity(), t)), 
+            this.data[this.sub] && (t += a.CHILD), this.data[this.sup] && (t += a.CHILD), this.data[this.base] && (t += a.CHILD), 
+            this.complexity = t + a.UNDEROVER, this.reportComplexity()), this.complexity;
+        }
+    }), t.mphantom.Augment({
+        getComplexity: function() {
+            return this.complexity = a.PHANTOM, this.reportComplexity(), this.complexity;
+        }
+    }), t.ms.Augment({
+        getComplexity: function() {
+            return this.SUPER(arguments).getComplexity.call(this), this.complexity += this.Get("lquote").length * a.TEXT, 
+            this.complexity += this.Get("rquote").length * a.TEXT, this.attr[s] = this.complexity, 
+            this.complexity;
+        }
+    }), t.menclose.Augment({
+        getComplexity: function() {
+            return null == this.complexity && (this.SUPER(arguments).getComplexity.call(this), 
+            this.complexity += a.ACTION, this.attr[s] = this.complexity), this.complexity;
+        }
+    }), t.maction.Augment({
+        getComplexity: function() {
+            return this.complexity = (this.collapsible ? this.data[0] : this.selected()).getComplexity(), 
+            this.reportComplexity(), this.complexity;
+        }
+    }), t.semantics.Augment({
+        getComplexity: function() {
+            return null == this.complexity && (this.complexity = this.data[0] ? this.data[0].getComplexity() : 0, 
+            this.reportComplexity()), this.complexity;
+        }
+    }), t["annotation-xml"].Augment({
+        getComplexity: function() {
+            return this.complexity = a.XML, this.reportComplexity(), this.complexity;
+        }
+    }), t.annotation.Augment({
+        getComplexity: function() {
+            return this.complexity = a.XML, this.reportComplexity(), this.complexity;
+        }
+    }), t.mglyph.Augment({
+        getComplexity: function() {
+            return this.complexity = a.GLYPH, this.reportComplexity(), this.complexity;
+        }
+    }), MathJax.Hub.Startup.signal.Post("Collapsible Ready"), MathJax.Ajax.loadComplete("[a11y]/collapsible.js");
+});
\ No newline at end of file
diff --git a/extensions/a11y/explorer.js b/extensions/a11y/explorer.js
index 5478cce7af..6e2bf342e3 100644
--- a/extensions/a11y/explorer.js
+++ b/extensions/a11y/explorer.js
@@ -1 +1,417 @@
-MathJax.Hub.Register.StartupHook("Sre Ready",function(){var a,b,c=MathJax.Hub.config.menuSettings,d={};MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){a=MathJax.Extension.MathEvents.Event.False,b=MathJax.Extension.MathEvents.Event.KEY});var e=MathJax.Extension.explorer={version:"1.5.0",dependents:[],defaults:{walker:"table",highlight:"none",background:"blue",foreground:"black",speech:!0,generation:"lazy",subtitle:!1,ruleset:"mathspeak-default"},eagerComplexity:80,prefix:"Assistive-",hook:null,locHook:null,oldrules:null,addMenuOption:function(a,b){c[e.prefix+a]=b},addDefaults:function(){for(var a,b=MathJax.Hub.CombineConfig("explorer",e.defaults),d=Object.keys(b),f=0;a=d[f];f++)void 0===c[e.prefix+a]&&e.addMenuOption(a,b[a]);e.setSpeechOption(),h.Reset()},setOption:function(a,b){c[e.prefix+a]!==b&&(e.addMenuOption(a,b),h.Reset())},getOption:function(a){return c[e.prefix+a]},speechOption:function(a){e.oldrules!==a.value&&(e.setSpeechOption(),h.Regenerate())},setSpeechOption:function(){var a=c[e.prefix+"ruleset"],b=a.split("-");sre.System.getInstance().setupEngine({locale:MathJax.Localization.locale,domain:e.Domain(b[0]),style:b[1],rules:e.RuleSet(b[0])}),e.oldrules=a},Domain:function(a){switch(a){case"chromevox":return"default";case"mathspeak":default:return"mathspeak"}},RuleSet:function(a){switch(a){case"chromevox":return["AbstractionRules","SemanticTreeRules"];case"mathspeak":default:return["AbstractionRules","AbstractionSpanish","MathspeakRules","MathspeakSpanish"]}},hook:null,locHook:null,Enable:function(a,b){c.explorer=!0,b&&(d.explorer=!0),MathJax.Extension.collapsible.Enable(!1,b),MathJax.Extension.AssistiveMML&&(MathJax.Extension.AssistiveMML.config.disabled=!0,c.assistiveMML=!1,b&&(d.assistiveMML=!1)),this.DisableMenus(!1),this.hook||(this.hook=MathJax.Hub.Register.MessageHook("New Math",["Register",this.Explorer])),this.locHook||(this.locHook=MathJax.Hub.Register.MessageHook("Locale Reset",["RemoveSpeech",this.Explorer])),a&&MathJax.Hub.Queue(["Reprocess",MathJax.Hub])},Disable:function(a,b){c.explorer=!1,b&&(d.explorer=!1),this.DisableMenus(!0),this.hook&&(MathJax.Hub.UnRegister.MessageHook(this.hook),this.hook=null);for(var e=this.dependents.length-1;e>=0;e--){var f=this.dependents[e];f.Disable&&f.Disable(!1,b)}},DisableMenus:function(a){if(MathJax.Menu){var b=MathJax.Menu.menu.FindId("Accessibility","Explorer");if(b){b=b.submenu;for(var d,f=b.items,g=2;d=f[g];g++)d.disabled=a;a||!b.FindId("SpeechOutput")||c[e.prefix+"speech"]||(b.FindId("Subtitles").disabled=!0)}}},Dependent:function(a){this.dependents.push(a)}},f=MathJax.Object.Subclass({div:null,inner:null,Init:function(){this.div=f.Create("assertive"),this.inner=MathJax.HTML.addElement(this.div,"div")},Add:function(){f.added||(document.body.appendChild(this.div),f.added=!0)},Show:function(a,b){this.div.classList.add("MJX_LiveRegion_Show");var c=a.getBoundingClientRect(),d=c.bottom+10+window.pageYOffset,e=c.left+window.pageXOffset;this.div.style.top=d+"px",this.div.style.left=e+"px";var f=b.colorString();this.inner.style.backgroundColor=f.background,this.inner.style.color=f.foreground},Hide:function(a){this.div.classList.remove("MJX_LiveRegion_Show")},Clear:function(){this.Update(""),this.inner.style.top="",this.inner.style.backgroundColor=""},Update:function(a){e.getOption("speech")&&f.Update(this.inner,a)}},{ANNOUNCE:"Navigatable Math in page. Explore with shift space and arrow keys. Expand or collapse elements hitting enter.",announced:!1,added:!1,styles:{".MJX_LiveRegion":{position:"absolute",top:"0",height:"1px",width:"1px",padding:"1px",overflow:"hidden"},".MJX_LiveRegion_Show":{top:"0",position:"absolute",width:"auto",height:"auto",padding:"0px 0px",opacity:1,"z-index":"202",left:0,right:0,margin:"0 auto","background-color":"white","box-shadow":"0px 10px 20px #888",border:"2px solid #CCCCCC"}},Create:function(a){var b=MathJax.HTML.Element("div",{className:"MJX_LiveRegion"});return b.setAttribute("aria-live",a),b},Update:MathJax.Hub.Browser.isPC?function(a,b){a.textContent="",setTimeout(function(){a.textContent=b},100)}:function(a,b){a.textContent="",a.textContent=b},Announce:function(){if(e.getOption("speech")){f.announced=!0,MathJax.Ajax.Styles(f.styles);var a=f.Create("polite");document.body.appendChild(a),f.Update(a,f.ANNOUNCE),setTimeout(function(){document.body.removeChild(a)},1e3)}}});MathJax.Extension.explorer.LiveRegion=f;var g=MathJax.Ajax.fileURL(MathJax.Ajax.config.path.a11y),h=MathJax.Extension.explorer.Explorer={liveRegion:f(),walker:null,highlighter:null,hoverer:null,flamer:null,speechDiv:null,earconFile:g+"/invalid_keypress"+(-1!==["Firefox","Chrome","Opera"].indexOf(MathJax.Hub.Browser.name)?".ogg":".mp3"),expanded:!1,focusoutEvent:MathJax.Hub.Browser.isFirefox?"blur":"focusout",focusinEvent:"focus",ignoreFocusOut:!1,jaxCache:{},messageID:null,Reset:function(){h.FlameEnriched()},Register:function(a){if(e.hook){var b=document.getElementById(a[1]);if(b&&b.id){var c=MathJax.Hub.getJaxFor(b.id);c&&c.enriched&&(h.StateChange(b.id,c),h.liveRegion.Add(),h.AddEvent(b))}}},StateChange:function(a,b){h.GetHighlighter(.2);var c=h.jaxCache[a];c&&c===b.root||(c&&h.highlighter.resetState(a+"-Frame"),h.jaxCache[a]=b.root)},AddAria:function(a){a.setAttribute("role","application"),a.setAttribute("aria-label","Math")},AddHook:function(a){h.RemoveHook(),h.hook=MathJax.Hub.Register.MessageHook("End Math",function(b){var c=b[1].id+"-Frame",d=document.getElementById(c);a&&c===h.expanded&&(h.ActivateWalker(d,a),d.focus(),h.expanded=!1)})},RemoveHook:function(){h.hook&&(MathJax.Hub.UnRegister.MessageHook(h.hook),h.hook=null)},AddMessage:function(){return MathJax.Message.Set("Generating Speech Output")},RemoveMessage:function(a){a&&MathJax.Message.Clear(a)},AddEvent:function(a){var b=a.id+"-Frame",c=a.previousSibling;if(c){var d=c.id!==b?c.firstElementChild:c;h.AddAria(d),h.AddMouseEvents(d),"MathJax_MathML"===d.className&&(d=d.firstElementChild),d&&(d.onkeydown=h.Keydown,h.Flame(d),d.addEventListener(h.focusinEvent,function(a){e.hook&&(f.announced||f.Announce())}),d.addEventListener(h.focusoutEvent,function(a){if(e.hook)return h.ignoreFocusOut&&(h.ignoreFocusOut=!1,"enter"===h.walker.moved)?void a.target.focus():void(h.walker&&h.DeactivateWalker())}),e.getOption("speech")&&h.AddSpeech(d))}},AddSpeech:function(a){var b=a.id,c=MathJax.Hub.getJaxFor(b),d=c.root.toMathML();if(a.getAttribute("haslabel")||h.AddMathLabel(d,b),!a.getAttribute("hasspeech"))switch(MathJax.Hub.config.explorer.generation){case"eager":h.AddSpeechEager(d,b);break;case"mixed":a.querySelectorAll("[data-semantic-complexity]").length>=e.eagerComplexity&&h.AddSpeechEager(d,b)}},AddSpeechLazy:function(a){var b=new sre.TreeSpeechGenerator;b.setRebuilt(h.walker.rebuilt),b.getSpeech(h.walker.rootNode,h.walker.xml),a.setAttribute("hasspeech","true")},AddSpeechEager:function(a,b){h.MakeSpeechTask(a,b,sre.TreeSpeechGenerator,function(a,b){a.setAttribute("hasspeech","true")},5)},AddMathLabel:function(a,b){h.MakeSpeechTask(a,b,sre.SummarySpeechGenerator,function(a,b){a.setAttribute("haslabel","true"),a.setAttribute("aria-label",b)},5)},MakeSpeechTask:function(a,b,c,d,e){var f=h.AddMessage();setTimeout(function(){var e=new c,g=document.getElementById(b),i=new sre.DummyWalker(g,e,h.highlighter,a),j=i.speech();j&&d(g,j),h.RemoveMessage(f)},e)},Keydown:function(c){if(c.keyCode===b.ESCAPE){if(!h.walker)return;return h.RemoveHook(),h.DeactivateWalker(),void a(c)}if(h.walker&&h.walker.isActive()){void 0!==h.walker.modifier&&(h.walker.modifier=c.shiftKey);var d=h.walker.move(c.keyCode);if(null===d)return;if(d){if("expand"===h.walker.moved){if(h.expanded=h.walker.node.id,MathJax.Hub.Browser.isEdge)return h.ignoreFocusOut=!0,void h.DeactivateWalker();if(MathJax.Hub.Browser.isFirefox||MathJax.Hub.Browser.isMSIE)return void h.DeactivateWalker()}h.liveRegion.Update(h.walker.speech()),h.Highlight()}else h.PlayEarcon();return void a(c)}var f=c.target;if(c.keyCode===b.SPACE){if(c.shiftKey&&e.hook){var g=MathJax.Hub.getJaxFor(f);h.ActivateWalker(f,g),h.AddHook(g)}else MathJax.Extension.MathEvents.Event.ContextMenu(c,f);return void a(c)}},GetHighlighter:function(a){h.highlighter=sre.HighlighterFactory.highlighter({color:e.getOption("background"),alpha:a},{color:e.getOption("foreground"),alpha:1},{renderer:MathJax.Hub.outputJax["jax/mml"][0].id,browser:MathJax.Hub.Browser.name})},AddMouseEvents:function(a){sre.HighlighterFactory.addEvents(a,{mouseover:h.MouseOver,mouseout:h.MouseOut},{renderer:MathJax.Hub.outputJax["jax/mml"][0].id,browser:MathJax.Hub.Browser.name})},MouseOver:function(b){if("none"!==e.getOption("highlight")){if("hover"===e.getOption("highlight")){var c=b.currentTarget;h.GetHighlighter(.1),h.highlighter.highlight([c]),h.hoverer=!0}a(b)}},MouseOut:function(b){return h.hoverer&&(h.highlighter.unhighlight(),h.hoverer=!1),a(b)},Flame:function(a){if("flame"===e.getOption("highlight"))return h.GetHighlighter(.05),h.highlighter.highlightAll(a),void(h.flamer=!0)},UnFlame:function(){h.flamer&&(h.highlighter.unhighlightAll(),h.flamer=null)},FlameEnriched:function(){h.UnFlame();for(var a,b=0,c=MathJax.Hub.getAllJax();a=c[b];b++)h.Flame(a.SourceElement().previousSibling)},Walkers:{syntactic:sre.SyntaxWalker,table:sre.TableWalker,semantic:sre.SemanticWalker,none:sre.DummyWalker},ActivateWalker:function(a,b){var c=e.getOption("speech"),d=e.getOption("walker")?h.Walkers[MathJax.Hub.config.explorer.walker]:h.Walkers.none,f=c?new sre.DirectSpeechGenerator:new sre.DummySpeechGenerator;h.GetHighlighter(.2),h.walker=new d(a,f,h.highlighter,b.root.toMathML()),c&&!a.getAttribute("hasspeech")&&h.AddSpeechLazy(a),h.walker.activate(),c&&(e.getOption("subtitle")&&h.liveRegion.Show(a,h.highlighter),h.liveRegion.Update(h.walker.speech())),h.Highlight(),h.ignoreFocusOut&&setTimeout(function(){h.ignoreFocusOut=!1},500)},DeactivateWalker:function(){h.liveRegion.Clear(),h.liveRegion.Hide(),h.Unhighlight(),h.currentHighlight=null,h.walker.deactivate(),h.walker=null},Highlight:function(){h.Unhighlight(),h.highlighter.highlight(h.walker.getFocus().getNodes())},Unhighlight:function(){h.highlighter.unhighlight()},PlayEarcon:function(){new Audio(h.earconFile).play()},SpeechOutput:function(){h.Reset(),["Subtitles"].forEach(function(a){var b=MathJax.Menu.menu.FindId("Accessibility","Explorer",a);b&&(b.disabled=!b.disabled)}),h.Regenerate()},RemoveSpeech:function(){e.setSpeechOption();for(var a,b=0,c=MathJax.Hub.getAllJax();a=c[b];b++){var d=document.getElementById(a.inputID+"-Frame");d&&(d.removeAttribute("hasspeech"),d.removeAttribute("haslabel"))}},Regenerate:function(){for(var a,b=0,c=MathJax.Hub.getAllJax();a=c[b];b++){var d=document.getElementById(a.inputID+"-Frame");d&&(d.removeAttribute("hasspeech"),h.AddSpeech(d))}},Startup:function(){var a=MathJax.Extension.collapsible;a&&a.Dependent(e),e.addDefaults()}};MathJax.Hub.Register.StartupHook("End Extensions",function(){e[!1===c.explorer?"Disable":"Enable"](),MathJax.Hub.Startup.signal.Post("Explorer Ready"),MathJax.Hub.Register.StartupHook("MathMenu Ready",function(){d=MathJax.Menu.cookie;var a,b=function(a){e[c.explorer?"Enable":"Disable"](!0,!0),MathJax.Menu.saveCookie()},f=MathJax.Menu.ITEM,g=MathJax.Menu.menu,i={action:h.Reset},j={action:e.speechOption},k=f.SUBMENU(["Explorer","Explorer"],f.CHECKBOX(["Active","Active"],"explorer",{action:b}),f.RULE(),f.CHECKBOX(["Walker","Walker"],"Assistive-walker"),f.SUBMENU(["Highlight","Highlight"],f.RADIO(["none","None"],"Assistive-highlight",i),f.RADIO(["hover","Hover"],"Assistive-highlight",i),f.RADIO(["flame","Flame"],"Assistive-highlight",i)),f.SUBMENU(["Background","Background"],f.RADIO(["blue","Blue"],"Assistive-background",i),f.RADIO(["red","Red"],"Assistive-background",i),f.RADIO(["green","Green"],"Assistive-background",i),f.RADIO(["yellow","Yellow"],"Assistive-background",i),f.RADIO(["cyan","Cyan"],"Assistive-background",i),f.RADIO(["magenta","Magenta"],"Assistive-background",i),f.RADIO(["white","White"],"Assistive-background",i),f.RADIO(["black","Black"],"Assistive-background",i)),f.SUBMENU(["Foreground","Foreground"],f.RADIO(["black","Black"],"Assistive-foreground",i),f.RADIO(["white","White"],"Assistive-foreground",i),f.RADIO(["magenta","Magenta"],"Assistive-foreground",i),f.RADIO(["cyan","Cyan"],"Assistive-foreground",i),f.RADIO(["yellow","Yellow"],"Assistive-foreground",i),f.RADIO(["green","Green"],"Assistive-foreground",i),f.RADIO(["red","Red"],"Assistive-foreground",i),f.RADIO(["blue","Blue"],"Assistive-foreground",i)),f.RULE(),f.CHECKBOX(["SpeechOutput","Speech Output"],"Assistive-speech",{action:h.SpeechOutput}),f.CHECKBOX(["Subtitles","Subtitles"],"Assistive-subtitle",{disabled:!c["Assistive-speech"]}),f.RULE(),f.SUBMENU(["Mathspeak","Mathspeak Rules"],f.RADIO(["mathspeak-default","Verbose"],"Assistive-ruleset",j),f.RADIO(["mathspeak-brief","Brief"],"Assistive-ruleset",j),f.RADIO(["mathspeak-sbrief","Superbrief"],"Assistive-ruleset",j)),f.SUBMENU(["Chromevox","ChromeVox Rules"],f.RADIO(["chromevox-default","Verbose"],"Assistive-ruleset",j),f.RADIO(["chromevox-short","Short"],"Assistive-ruleset",j),f.RADIO(["chromevox-alternative","Alternative"],"Assistive-ruleset",j))),l=(g.FindId("Accessibility")||{}).submenu;l?(a=l.IndexOfId("Explorer"),null!==a?l.items[a]=k:(a=l.IndexOfId("CollapsibleMath"),l.items.splice(a+1,0,k))):(a=g.IndexOfId("CollapsibleMath"),g.items.splice(a+1,0,k)),c.explorer||e.DisableMenus(!0)},20)},20)}),MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){MathJax.Hub.Config({SVG:{addMMLclasses:!0}});var a=MathJax.OutputJax.SVG;if(parseFloat(a.version)<2.7){var b=a.getJaxFromMath;a.Augment({getJaxFromMath:function(a){return a.parentNode.className.match(/MathJax_SVG_Display/)&&(a=a.parentNode),b.call(this,a)}})}}),MathJax.Ajax.config.path.a11y||(MathJax.Ajax.config.path.a11y=MathJax.Hub.config.root+"/extensions/a11y"),MathJax.Ajax.Require("[a11y]/collapsible.js"),MathJax.Hub.Register.StartupHook("Collapsible Ready",function(){MathJax.Extension.explorer.Explorer.Startup(),MathJax.Ajax.loadComplete("[a11y]/explorer.js")});
\ No newline at end of file
+MathJax.Hub.Register.StartupHook("Sre Ready", function() {
+    var o, r, s = MathJax.Hub.config.menuSettings, l = {};
+    MathJax.Hub.Register.StartupHook("MathEvents Ready", function() {
+        o = MathJax.Extension.MathEvents.Event.False, r = MathJax.Extension.MathEvents.Event.KEY;
+    });
+    var h = MathJax.Extension.explorer = {
+        version: "1.6.0",
+        dependents: [],
+        defaults: {
+            walker: "table",
+            highlight: "none",
+            background: "blue",
+            foreground: "black",
+            speech: !0,
+            generation: "lazy",
+            subtitle: !1,
+            ruleset: "mathspeak-default"
+        },
+        eagerComplexity: 80,
+        prefix: "Assistive-",
+        hook: null,
+        locHook: null,
+        oldrules: null,
+        addMenuOption: function(e, t) {
+            s[h.prefix + e] = t;
+        },
+        addDefaults: function() {
+            for (var e, t = MathJax.Hub.CombineConfig("explorer", h.defaults), a = Object.keys(t), i = 0; e = a[i]; i++) void 0 === s[h.prefix + e] && h.addMenuOption(e, t[e]);
+            h.setSpeechOption(), u.Reset();
+        },
+        setOption: function(e, t) {
+            s[h.prefix + e] !== t && (h.addMenuOption(e, t), u.Reset());
+        },
+        getOption: function(e) {
+            return s[h.prefix + e];
+        },
+        speechOption: function(e) {
+            h.oldrules !== e.value && (h.setSpeechOption(), u.Regenerate());
+        },
+        setSpeechOption: function() {
+            var e = s[h.prefix + "ruleset"], t = e.split("-");
+            sre.System.getInstance().setupEngine({
+                locale: MathJax.Localization.locale,
+                domain: h.Domain(t[0]),
+                style: t[1]
+            }), h.oldrules = e;
+        },
+        Domain: function(e) {
+            switch (e) {
+              case "chromevox":
+                return "default";
+
+              case "clearspeak":
+                return "clearspeak";
+
+              case "mathspeak":
+              default:
+                return "mathspeak";
+            }
+        },
+        Enable: function(e, t) {
+            s.explorer = !0, t && (l.explorer = !0), MathJax.Extension.collapsible.Enable(!1, t), 
+            MathJax.Extension.AssistiveMML && (MathJax.Extension.AssistiveMML.config.disabled = !0, 
+            s.assistiveMML = !1, t && (l.assistiveMML = !1)), this.DisableMenus(!1), this.hook || (this.hook = MathJax.Hub.Register.MessageHook("New Math", [ "Register", this.Explorer ])), 
+            this.locHook || (this.locHook = MathJax.Hub.Register.MessageHook("Locale Reset", [ "RemoveSpeech", this.Explorer ])), 
+            e && MathJax.Hub.Queue([ "Reprocess", MathJax.Hub ]);
+        },
+        Disable: function(e, t) {
+            s.explorer = !1, t && (l.explorer = !1), this.DisableMenus(!0), this.hook && (MathJax.Hub.UnRegister.MessageHook(this.hook), 
+            this.hook = null);
+            for (var a = this.dependents.length - 1; 0 <= a; a--) {
+                var i = this.dependents[a];
+                i.Disable && i.Disable(!1, t);
+            }
+        },
+        DisableMenus: function(e) {
+            if (MathJax.Menu) {
+                var t = MathJax.Menu.menu.FindId("Accessibility", "Explorer");
+                if (t) {
+                    for (var a, i = (t = t.submenu).items, n = 2; a = i[n]; n++) a.disabled = e;
+                    e || !t.FindId("SpeechOutput") || s[h.prefix + "speech"] || (t.FindId("Subtitles").disabled = !0);
+                }
+            }
+        },
+        Dependent: function(e) {
+            this.dependents.push(e);
+        }
+    }, n = MathJax.Object.Subclass({
+        div: null,
+        inner: null,
+        Init: function() {
+            this.div = n.Create("assertive"), this.inner = MathJax.HTML.addElement(this.div, "div");
+        },
+        Add: function() {
+            n.added || (document.body.appendChild(this.div), n.added = !0);
+        },
+        Show: function(e, t) {
+            this.div.classList.add("MJX_LiveRegion_Show");
+            var a = e.getBoundingClientRect(), i = a.bottom + 10 + window.pageYOffset, n = a.left + window.pageXOffset;
+            this.div.style.top = i + "px", this.div.style.left = n + "px";
+            var o = t.colorString();
+            this.inner.style.backgroundColor = o.background, this.inner.style.color = o.foreground;
+        },
+        Hide: function(e) {
+            this.div.classList.remove("MJX_LiveRegion_Show");
+        },
+        Clear: function() {
+            this.Update(""), this.inner.style.top = "", this.inner.style.backgroundColor = "";
+        },
+        Update: function(e) {
+            h.getOption("speech") && n.Update(this.inner, e);
+        }
+    }, {
+        ANNOUNCE: "Navigatable Math in page. Explore with enter or shift space and arrow keys. Expand or collapse elements hitting enter.",
+        announced: !1,
+        added: !1,
+        styles: {
+            ".MJX_LiveRegion": {
+                position: "absolute",
+                top: "0",
+                height: "1px",
+                width: "1px",
+                padding: "1px",
+                overflow: "hidden"
+            },
+            ".MJX_LiveRegion_Show": {
+                top: "0",
+                position: "absolute",
+                width: "auto",
+                height: "auto",
+                padding: "0px 0px",
+                opacity: 1,
+                "z-index": "202",
+                left: 0,
+                right: 0,
+                margin: "0 auto",
+                "background-color": "white",
+                "box-shadow": "0px 10px 20px #888",
+                border: "2px solid #CCCCCC"
+            }
+        },
+        Create: function(e) {
+            var t = MathJax.HTML.Element("div", {
+                className: "MJX_LiveRegion"
+            });
+            return t.setAttribute("aria-live", e), t;
+        },
+        Update: MathJax.Hub.Browser.isPC ? function(e, t) {
+            e.textContent = "", setTimeout(function() {
+                e.textContent = t;
+            }, 100);
+        } : function(e, t) {
+            e.textContent = "", e.textContent = t;
+        },
+        Announce: function() {
+            var e;
+            h.getOption("speech") && (n.announced = !0, MathJax.Ajax.Styles(n.styles), e = n.Create("polite"), 
+            document.body.appendChild(e), n.Update(e, n.ANNOUNCE), setTimeout(function() {
+                document.body.removeChild(e);
+            }, 1e3));
+        }
+    });
+    MathJax.Extension.explorer.LiveRegion = n;
+    var e = MathJax.Ajax.fileURL(MathJax.Ajax.config.path.a11y), u = MathJax.Extension.explorer.Explorer = {
+        liveRegion: n(),
+        walker: null,
+        highlighter: null,
+        hoverer: null,
+        flamer: null,
+        speechDiv: null,
+        earconFile: e + "/invalid_keypress" + (-1 !== [ "Firefox", "Chrome", "Opera" ].indexOf(MathJax.Hub.Browser.name) ? ".ogg" : ".mp3"),
+        expanded: !1,
+        focusoutEvent: MathJax.Hub.Browser.isFirefox ? "blur" : "focusout",
+        focusinEvent: "focus",
+        ignoreFocusOut: !1,
+        jaxCache: {},
+        messageID: null,
+        Reset: function() {
+            u.FlameEnriched();
+        },
+        Register: function(e) {
+            var t, a;
+            !h.hook || (t = document.getElementById(e[1])) && t.id && ((a = MathJax.Hub.getJaxFor(t.id)) && a.enriched && (u.StateChange(t.id, a), 
+            u.liveRegion.Add(), u.AddEvent(t)));
+        },
+        StateChange: function(e, t) {
+            u.GetHighlighter(.2);
+            var a = u.jaxCache[e];
+            a && a === t.root || (a && sre.Walker.resetState(e + "-Frame"), u.jaxCache[e] = t.root);
+        },
+        AddAria: function(e) {
+            e.setAttribute("role", "application"), e.setAttribute("aria-label", "Math");
+        },
+        AddHook: function(i) {
+            u.RemoveHook(), u.hook = MathJax.Hub.Register.MessageHook("End Math", function(e) {
+                var t = e[1].id + "-Frame", a = document.getElementById(t);
+                i && t === u.expanded && (u.ActivateWalker(a, i), a.focus(), u.expanded = !1);
+            });
+        },
+        RemoveHook: function() {
+            u.hook && (MathJax.Hub.UnRegister.MessageHook(u.hook), u.hook = null);
+        },
+        AddMessage: function() {
+            return MathJax.Message.Set("Generating Speech Output");
+        },
+        RemoveMessage: function(e) {
+            e && MathJax.Message.Clear(e);
+        },
+        AddEvent: function(e) {
+            var t, a = e.id + "-Frame", i = e.previousSibling;
+            i && (t = i.id !== a ? i.firstElementChild : i, u.AddAria(t), u.AddMouseEvents(t), 
+            "MathJax_MathML" === t.className && (t = t.firstElementChild), t && (t.onkeydown = u.Keydown, 
+            u.Flame(t), t.addEventListener(u.focusinEvent, function(e) {
+                h.hook && (n.announced || n.Announce());
+            }), t.addEventListener(u.focusoutEvent, function(e) {
+                h.hook && (u.ignoreFocusOut && (u.ignoreFocusOut = !1, "enter" === u.walker.moved) ? e.target.focus() : u.walker && u.DeactivateWalker());
+            }), h.getOption("speech") && u.AddSpeech(t)));
+        },
+        AddSpeech: function(e) {
+            var t = e.id, a = MathJax.Hub.getJaxFor(t).root.toMathML();
+            if (e.getAttribute("haslabel") || u.AddMathLabel(a, t), !e.getAttribute("hasspeech")) switch (MathJax.Hub.config.explorer.generation) {
+              case "eager":
+                u.AddSpeechEager(a, t);
+                break;
+
+              case "mixed":
+                e.querySelectorAll("[data-semantic-complexity]").length >= h.eagerComplexity && u.AddSpeechEager(a, t);
+            }
+        },
+        AddSpeechLazy: function(e) {
+            var t = new sre.TreeSpeechGenerator();
+            t.setRebuilt(u.walker.getRebuilt()), t.getSpeech(u.walker.rootNode, u.walker.getXml()), 
+            e.setAttribute("hasspeech", "true");
+        },
+        AddSpeechEager: function(e, t) {
+            u.MakeSpeechTask(e, t, sre.TreeSpeechGenerator, function(e, t) {
+                e.setAttribute("hasspeech", "true");
+            }, 5);
+        },
+        AddMathLabel: function(e, t) {
+            u.MakeSpeechTask(e, t, sre.SummarySpeechGenerator, function(e, t) {
+                e.setAttribute("haslabel", "true"), e.setAttribute("aria-label", t);
+            }, 5);
+        },
+        MakeSpeechTask: function(i, n, o, r, e) {
+            var s = u.AddMessage();
+            setTimeout(function() {
+                var e = new o(), t = document.getElementById(n), a = new sre.DummyWalker(t, e, u.highlighter, i).speech();
+                a && r(t, a), u.RemoveMessage(s);
+            }, e);
+        },
+        Keydown: function(e) {
+            var t = e.keyCode;
+            if (t === r.ESCAPE) {
+                if (!u.walker) return;
+                return u.RemoveHook(), u.DeactivateWalker(), void o(e);
+            }
+            if (u.walker && u.walker.isActive()) {
+                t = t === r.RETURN ? r.DASH : t, void 0 !== u.walker.modifier && (u.walker.modifier = e.shiftKey);
+                var a = u.walker.move(t);
+                if (null === a) return;
+                if (a) {
+                    if ("expand" === u.walker.moved) {
+                        if (u.expanded = u.walker.node.id, MathJax.Hub.Browser.isEdge) return u.ignoreFocusOut = !0, 
+                        void u.DeactivateWalker();
+                        if (MathJax.Hub.Browser.isFirefox || MathJax.Hub.Browser.isMSIE) return void u.DeactivateWalker();
+                    }
+                    u.liveRegion.Update(u.walker.speech()), u.Highlight();
+                } else u.PlayEarcon();
+                o(e);
+            } else {
+                var i = e.target;
+                if (t === r.SPACE && !e.shiftKey) return MathJax.Extension.MathEvents.Event.ContextMenu(e, i), 
+                void o(e);
+                if (h.hook && (t === r.RETURN || t === r.SPACE && e.shiftKey)) {
+                    var n = MathJax.Hub.getJaxFor(i);
+                    return u.ActivateWalker(i, n), u.AddHook(n), void o(e);
+                }
+            }
+        },
+        GetHighlighter: function(e) {
+            u.highlighter = sre.HighlighterFactory.highlighter({
+                color: h.getOption("background"),
+                alpha: e
+            }, {
+                color: h.getOption("foreground"),
+                alpha: 1
+            }, {
+                renderer: MathJax.Hub.outputJax["jax/mml"][0].id,
+                browser: MathJax.Hub.Browser.name
+            });
+        },
+        AddMouseEvents: function(e) {
+            sre.HighlighterFactory.addEvents(e, {
+                mouseover: u.MouseOver,
+                mouseout: u.MouseOut
+            }, {
+                renderer: MathJax.Hub.outputJax["jax/mml"][0].id,
+                browser: MathJax.Hub.Browser.name
+            });
+        },
+        MouseOver: function(e) {
+            var t;
+            "none" !== h.getOption("highlight") && ("hover" === h.getOption("highlight") && (t = e.currentTarget, 
+            u.GetHighlighter(.1), u.highlighter.highlight([ t ]), u.hoverer = !0), o(e));
+        },
+        MouseOut: function(e) {
+            return u.hoverer && (u.highlighter.unhighlight(), u.hoverer = !1), o(e);
+        },
+        Flame: function(e) {
+            if ("flame" === h.getOption("highlight")) return u.GetHighlighter(.05), u.highlighter.highlightAll(e), 
+            void (u.flamer = !0);
+        },
+        UnFlame: function() {
+            u.flamer && (u.highlighter.unhighlightAll(), u.flamer = null);
+        },
+        FlameEnriched: function() {
+            u.UnFlame();
+            for (var e, t = 0, a = MathJax.Hub.getAllJax(); e = a[t]; t++) u.Flame(e.SourceElement().previousSibling);
+        },
+        Walkers: {
+            syntactic: sre.SyntaxWalker,
+            table: sre.TableWalker,
+            semantic: sre.SemanticWalker,
+            none: sre.DummyWalker
+        },
+        ActivateWalker: function(e, t) {
+            var a = h.getOption("speech"), i = h.getOption("walker") ? u.Walkers[MathJax.Hub.config.explorer.walker] : u.Walkers.none, n = a ? new sre.DirectSpeechGenerator() : new sre.DummySpeechGenerator(), o = sre.System.getInstance().engineSetup();
+            n.setOptions({
+                locale: o.locale,
+                domain: o.domain,
+                style: o.style,
+                modality: "speech"
+            }), u.GetHighlighter(.2), u.walker = new i(e, n, u.highlighter, t.root.toMathML()), 
+            a && !e.getAttribute("hasspeech") && u.AddSpeechLazy(e), u.walker.activate(), a && (h.getOption("subtitle") && u.liveRegion.Show(e, u.highlighter), 
+            u.liveRegion.Update(u.walker.speech())), u.Highlight(), u.ignoreFocusOut && setTimeout(function() {
+                u.ignoreFocusOut = !1;
+            }, 500);
+        },
+        DeactivateWalker: function() {
+            var e = sre.System.getInstance().engineSetup(), t = "clearspeak" === e.domain ? "default" : e.style;
+            h.setOption("ruleset", e.domain + "-" + t), u.liveRegion.Clear(), u.liveRegion.Hide(), 
+            u.Unhighlight(), u.currentHighlight = null, u.walker.deactivate(), u.walker = null;
+        },
+        Highlight: function() {
+            u.Unhighlight(), u.highlighter.highlight(u.walker.getFocus().getNodes());
+        },
+        Unhighlight: function() {
+            u.highlighter.unhighlight();
+        },
+        PlayEarcon: function() {
+            new Audio(u.earconFile).play();
+        },
+        SpeechOutput: function() {
+            u.Reset();
+            [ "Subtitles" ].forEach(function(e) {
+                var t = MathJax.Menu.menu.FindId("Accessibility", "Explorer", e);
+                t && (t.disabled = !t.disabled);
+            }), u.Regenerate();
+        },
+        RemoveSpeech: function() {
+            h.setSpeechOption();
+            for (var e, t = 0, a = MathJax.Hub.getAllJax(); e = a[t]; t++) {
+                var i = document.getElementById(e.inputID + "-Frame");
+                i && (i.removeAttribute("hasspeech"), i.removeAttribute("haslabel"));
+            }
+        },
+        Regenerate: function() {
+            for (var e, t = 0, a = MathJax.Hub.getAllJax(); e = a[t]; t++) {
+                var i = document.getElementById(e.inputID + "-Frame");
+                i && (i.removeAttribute("hasspeech"), u.AddSpeech(i));
+            }
+        },
+        Startup: function() {
+            var e = MathJax.Extension.collapsible;
+            e && e.Dependent(h), h.addDefaults();
+        }
+    };
+    MathJax.Hub.Register.StartupHook("End Extensions", function() {
+        h[!1 === s.explorer ? "Disable" : "Enable"](), MathJax.Hub.Startup.signal.Post("Explorer Ready"), 
+        MathJax.Hub.Register.StartupHook("MathMenu Ready", function() {
+            l = MathJax.Menu.cookie;
+            var e, t = MathJax.Menu.ITEM, a = MathJax.Menu.menu, i = {
+                action: u.Reset
+            }, n = {
+                action: h.speechOption
+            }, o = t.SUBMENU([ "Explorer", "Explorer" ], t.CHECKBOX([ "Active", "Active" ], "explorer", {
+                action: function(e) {
+                    h[s.explorer ? "Enable" : "Disable"](!0, !0), MathJax.Menu.saveCookie();
+                }
+            }), t.RULE(), t.CHECKBOX([ "Walker", "Walker" ], "Assistive-walker"), t.SUBMENU([ "Highlight", "Highlight" ], t.RADIO([ "none", "None" ], "Assistive-highlight", i), t.RADIO([ "hover", "Hover" ], "Assistive-highlight", i), t.RADIO([ "flame", "Flame" ], "Assistive-highlight", i)), t.SUBMENU([ "Background", "Background" ], t.RADIO([ "blue", "Blue" ], "Assistive-background", i), t.RADIO([ "red", "Red" ], "Assistive-background", i), t.RADIO([ "green", "Green" ], "Assistive-background", i), t.RADIO([ "yellow", "Yellow" ], "Assistive-background", i), t.RADIO([ "cyan", "Cyan" ], "Assistive-background", i), t.RADIO([ "magenta", "Magenta" ], "Assistive-background", i), t.RADIO([ "white", "White" ], "Assistive-background", i), t.RADIO([ "black", "Black" ], "Assistive-background", i)), t.SUBMENU([ "Foreground", "Foreground" ], t.RADIO([ "black", "Black" ], "Assistive-foreground", i), t.RADIO([ "white", "White" ], "Assistive-foreground", i), t.RADIO([ "magenta", "Magenta" ], "Assistive-foreground", i), t.RADIO([ "cyan", "Cyan" ], "Assistive-foreground", i), t.RADIO([ "yellow", "Yellow" ], "Assistive-foreground", i), t.RADIO([ "green", "Green" ], "Assistive-foreground", i), t.RADIO([ "red", "Red" ], "Assistive-foreground", i), t.RADIO([ "blue", "Blue" ], "Assistive-foreground", i)), t.RULE(), t.CHECKBOX([ "SpeechOutput", "Speech Output" ], "Assistive-speech", {
+                action: u.SpeechOutput
+            }), t.CHECKBOX([ "Subtitles", "Subtitles" ], "Assistive-subtitle", {
+                disabled: !s["Assistive-speech"]
+            }), t.RULE(), t.SUBMENU([ "Mathspeak", "Mathspeak Rules" ], t.RADIO([ "mathspeak-default", "Verbose" ], "Assistive-ruleset", n), t.RADIO([ "mathspeak-brief", "Brief" ], "Assistive-ruleset", n), t.RADIO([ "mathspeak-sbrief", "Superbrief" ], "Assistive-ruleset", n)), t.RADIO([ "clearspeak-default", "Clearspeak Rules" ], "Assistive-ruleset", n), t.SUBMENU([ "Chromevox", "ChromeVox Rules" ], t.RADIO([ "chromevox-default", "Verbose" ], "Assistive-ruleset", n), t.RADIO([ "chromevox-alternative", "Alternative" ], "Assistive-ruleset", n))), r = (a.FindId("Accessibility") || {}).submenu;
+            r ? null !== (e = r.IndexOfId("Explorer")) ? r.items[e] = o : (e = r.IndexOfId("CollapsibleMath"), 
+            r.items.splice(e + 1, 0, o)) : (e = a.IndexOfId("CollapsibleMath"), a.items.splice(e + 1, 0, o)), 
+            s.explorer || h.DisableMenus(!0);
+        }, 20);
+    }, 20);
+}), MathJax.Hub.Register.StartupHook("SVG Jax Ready", function() {
+    MathJax.Hub.Config({
+        SVG: {
+            addMMLclasses: !0
+        }
+    });
+    var t, e = MathJax.OutputJax.SVG;
+    parseFloat(e.version) < 2.7 && (t = e.getJaxFromMath, e.Augment({
+        getJaxFromMath: function(e) {
+            return e.parentNode.className.match(/MathJax_SVG_Display/) && (e = e.parentNode), 
+            t.call(this, e);
+        }
+    }));
+}), MathJax.Ajax.config.path.a11y || (MathJax.Ajax.config.path.a11y = MathJax.Hub.config.root + "/extensions/a11y"), 
+MathJax.Ajax.Require("[a11y]/collapsible.js"), MathJax.Hub.Register.StartupHook("Collapsible Ready", function() {
+    MathJax.Extension.explorer.Explorer.Startup(), MathJax.Ajax.loadComplete("[a11y]/explorer.js");
+});
\ No newline at end of file
diff --git a/extensions/a11y/invalid_keypress.ogg b/extensions/a11y/invalid_keypress.ogg
old mode 100755
new mode 100644
diff --git a/extensions/a11y/mathjax-sre.js b/extensions/a11y/mathjax-sre.js
index 40a6151f26..ca250affb1 100644
--- a/extensions/a11y/mathjax-sre.js
+++ b/extensions/a11y/mathjax-sre.js
@@ -1,4 +1,4 @@
-// Copyright 2014-2018 Volker Sorge
+// Copyright 2014-2019 Volker Sorge
 //
 // Licensed under the Apache License, Version 2.0 (the "License");
 // you may not use this file except in compliance with the License.
@@ -11,138 +11,155 @@
 // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 // See the License for the specific language governing permissions and
 // limitations under the License.
-var $jscomp=$jscomp||{};$jscomp.scope={};$jscomp.ASSUME_ES5=!1;$jscomp.ASSUME_NO_NATIVE_MAP=!1;$jscomp.ASSUME_NO_NATIVE_SET=!1;$jscomp.defineProperty=$jscomp.ASSUME_ES5||"function"==typeof Object.defineProperties?Object.defineProperty:function(a,b,c){a!=Array.prototype&&a!=Object.prototype&&(a[b]=c.value)};$jscomp.getGlobal=function(a){return"undefined"!=typeof window&&window===a?a:"undefined"!=typeof global&&null!=global?global:a};$jscomp.global=$jscomp.getGlobal(this);$jscomp.SYMBOL_PREFIX="jscomp_symbol_";
-$jscomp.initSymbol=function(){$jscomp.initSymbol=function(){};$jscomp.global.Symbol||($jscomp.global.Symbol=$jscomp.Symbol)};$jscomp.Symbol=function(){var a=0;return function(b){return $jscomp.SYMBOL_PREFIX+(b||"")+a++}}();
-$jscomp.initSymbolIterator=function(){$jscomp.initSymbol();var a=$jscomp.global.Symbol.iterator;a||(a=$jscomp.global.Symbol.iterator=$jscomp.global.Symbol("iterator"));"function"!=typeof Array.prototype[a]&&$jscomp.defineProperty(Array.prototype,a,{configurable:!0,writable:!0,value:function(){return $jscomp.arrayIterator(this)}});$jscomp.initSymbolIterator=function(){}};$jscomp.arrayIterator=function(a){var b=0;return $jscomp.iteratorPrototype(function(){return b<a.length?{done:!1,value:a[b++]}:{done:!0}})};
-$jscomp.iteratorPrototype=function(a){$jscomp.initSymbolIterator();a={next:a};a[$jscomp.global.Symbol.iterator]=function(){return this};return a};$jscomp.iteratorFromArray=function(a,b){$jscomp.initSymbolIterator();a instanceof String&&(a+="");var c=0,d={next:function(){if(c<a.length){var e=c++;return{value:b(e,a[e]),done:!1}}d.next=function(){return{done:!0,value:void 0}};return d.next()}};d[Symbol.iterator]=function(){return d};return d};
-$jscomp.polyfill=function(a,b,c,d){if(b){c=$jscomp.global;a=a.split(".");for(d=0;d<a.length-1;d++){var e=a[d];e in c||(c[e]={});c=c[e]}a=a[a.length-1];d=c[a];b=b(d);b!=d&&null!=b&&$jscomp.defineProperty(c,a,{configurable:!0,writable:!0,value:b})}};
-$jscomp.checkStringArgs=function(a,b,c){if(null==a)throw new TypeError("The 'this' value for String.prototype."+c+" must not be null or undefined");if(b instanceof RegExp)throw new TypeError("First argument to String.prototype."+c+" must not be a regular expression");return a+""};$jscomp.findInternal=function(a,b,c){a instanceof String&&(a=String(a));for(var d=a.length,e=0;e<d;e++){var f=a[e];if(b.call(c,f,e,a))return{i:e,v:f}}return{i:-1,v:void 0}};var COMPILED=!0,goog=goog||{};goog.global=this;
-goog.isDef=function(a){return void 0!==a};goog.isString=function(a){return"string"==typeof a};goog.isBoolean=function(a){return"boolean"==typeof a};goog.isNumber=function(a){return"number"==typeof a};goog.exportPath_=function(a,b,c){a=a.split(".");c=c||goog.global;a[0]in c||"undefined"==typeof c.execScript||c.execScript("var "+a[0]);for(var d;a.length&&(d=a.shift());)!a.length&&goog.isDef(b)?c[d]=b:c=c[d]&&c[d]!==Object.prototype[d]?c[d]:c[d]={}};
-goog.define=function(a,b){if(!COMPILED){var c=goog.global.CLOSURE_UNCOMPILED_DEFINES,d=goog.global.CLOSURE_DEFINES;c&&void 0===c.nodeType&&Object.prototype.hasOwnProperty.call(c,a)?b=c[a]:d&&void 0===d.nodeType&&Object.prototype.hasOwnProperty.call(d,a)&&(b=d[a])}goog.exportPath_(a,b)};goog.DEBUG=!0;goog.LOCALE="en";goog.TRUSTED_SITE=!0;goog.STRICT_MODE_COMPATIBLE=!1;goog.DISALLOW_TEST_ONLY_CODE=COMPILED&&!goog.DEBUG;goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING=!1;
+/*
+
+ Copyright The Closure Library Authors.
+ SPDX-License-Identifier: Apache-2.0
+*/
+var $jscomp=$jscomp||{};$jscomp.scope={};$jscomp.arrayIteratorImpl=function(a){var b=0;return function(){return b<a.length?{done:!1,value:a[b++]}:{done:!0}}};$jscomp.arrayIterator=function(a){return{next:$jscomp.arrayIteratorImpl(a)}};$jscomp.makeIterator=function(a){var b="undefined"!=typeof Symbol&&Symbol.iterator&&a[Symbol.iterator];return b?b.call(a):$jscomp.arrayIterator(a)};$jscomp.arrayFromIterator=function(a){for(var b,c=[];!(b=a.next()).done;)c.push(b.value);return c};
+$jscomp.ASSUME_ES5=!1;$jscomp.ASSUME_NO_NATIVE_MAP=!1;$jscomp.ASSUME_NO_NATIVE_SET=!1;$jscomp.SIMPLE_FROUND_POLYFILL=!1;$jscomp.ISOLATE_POLYFILLS=!1;$jscomp.defineProperty=$jscomp.ASSUME_ES5||"function"==typeof Object.defineProperties?Object.defineProperty:function(a,b,c){if(a==Array.prototype||a==Object.prototype)return a;a[b]=c.value;return a};
+$jscomp.getGlobal=function(a){a=["object"==typeof globalThis&&globalThis,a,"object"==typeof window&&window,"object"==typeof self&&self,"object"==typeof global&&global];for(var b=0;b<a.length;++b){var c=a[b];if(c&&c.Math==Math)return c}throw Error("Cannot find global object");};$jscomp.global=$jscomp.getGlobal(this);$jscomp.IS_SYMBOL_NATIVE="function"===typeof Symbol&&"symbol"===typeof Symbol("x");$jscomp.TRUST_ES6_POLYFILLS=!$jscomp.ISOLATE_POLYFILLS||$jscomp.IS_SYMBOL_NATIVE;$jscomp.polyfills={};
+$jscomp.propertyToPolyfillSymbol={};$jscomp.POLYFILL_PREFIX="$jscp$";var $jscomp$lookupPolyfilledValue=function(a,b){var c=$jscomp.propertyToPolyfillSymbol[b];if(null==c)return a[b];c=a[c];return void 0!==c?c:a[b]};$jscomp.polyfill=function(a,b,c,d){b&&($jscomp.ISOLATE_POLYFILLS?$jscomp.polyfillIsolated(a,b,c,d):$jscomp.polyfillUnisolated(a,b,c,d))};
+$jscomp.polyfillUnisolated=function(a,b,c,d){c=$jscomp.global;a=a.split(".");for(d=0;d<a.length-1;d++){var e=a[d];if(!(e in c))return;c=c[e]}a=a[a.length-1];d=c[a];b=b(d);b!=d&&null!=b&&$jscomp.defineProperty(c,a,{configurable:!0,writable:!0,value:b})};
+$jscomp.polyfillIsolated=function(a,b,c,d){var e=a.split(".");a=1===e.length;d=e[0];d=!a&&d in $jscomp.polyfills?$jscomp.polyfills:$jscomp.global;for(var f=0;f<e.length-1;f++){var g=e[f];if(!(g in d))return;d=d[g]}e=e[e.length-1];c=$jscomp.IS_SYMBOL_NATIVE&&"es6"===c?d[e]:null;b=b(c);null!=b&&(a?$jscomp.defineProperty($jscomp.polyfills,e,{configurable:!0,writable:!0,value:b}):b!==c&&($jscomp.propertyToPolyfillSymbol[e]=$jscomp.IS_SYMBOL_NATIVE?$jscomp.global.Symbol(e):$jscomp.POLYFILL_PREFIX+e,e=
+$jscomp.propertyToPolyfillSymbol[e],$jscomp.defineProperty(d,e,{configurable:!0,writable:!0,value:b})))};$jscomp.initSymbol=function(){};
+$jscomp.polyfill("Symbol",function(a){if(a)return a;var b=function(e,f){this.$jscomp$symbol$id_=e;$jscomp.defineProperty(this,"description",{configurable:!0,writable:!0,value:f})};b.prototype.toString=function(){return this.$jscomp$symbol$id_};var c=0,d=function(e){if(this instanceof d)throw new TypeError("Symbol is not a constructor");return new b("jscomp_symbol_"+(e||"")+"_"+c++,e)};return d},"es6","es3");$jscomp.initSymbolIterator=function(){};
+$jscomp.polyfill("Symbol.iterator",function(a){if(a)return a;a=Symbol("Symbol.iterator");for(var b="Array Int8Array Uint8Array Uint8ClampedArray Int16Array Uint16Array Int32Array Uint32Array Float32Array Float64Array".split(" "),c=0;c<b.length;c++){var d=$jscomp.global[b[c]];"function"===typeof d&&"function"!=typeof d.prototype[a]&&$jscomp.defineProperty(d.prototype,a,{configurable:!0,writable:!0,value:function(){return $jscomp.iteratorPrototype($jscomp.arrayIteratorImpl(this))}})}return a},"es6",
+"es3");$jscomp.initSymbolAsyncIterator=function(){};$jscomp.iteratorPrototype=function(a){a={next:a};a[Symbol.iterator]=function(){return this};return a};$jscomp.iteratorFromArray=function(a,b){a instanceof String&&(a+="");var c=0,d={next:function(){if(c<a.length){var e=c++;return{value:b(e,a[e]),done:!1}}d.next=function(){return{done:!0,value:void 0}};return d.next()}};d[Symbol.iterator]=function(){return d};return d};
+$jscomp.polyfill("Array.prototype.keys",function(a){return a?a:function(){return $jscomp.iteratorFromArray(this,function(b){return b})}},"es6","es3");$jscomp.findInternal=function(a,b,c){a instanceof String&&(a=String(a));for(var d=a.length,e=0;e<d;e++){var f=a[e];if(b.call(c,f,e,a))return{i:e,v:f}}return{i:-1,v:void 0}};$jscomp.polyfill("Array.prototype.find",function(a){return a?a:function(b,c){return $jscomp.findInternal(this,b,c).v}},"es6","es3");
+$jscomp.checkStringArgs=function(a,b,c){if(null==a)throw new TypeError("The 'this' value for String.prototype."+c+" must not be null or undefined");if(b instanceof RegExp)throw new TypeError("First argument to String.prototype."+c+" must not be a regular expression");return a+""};
+$jscomp.polyfill("String.prototype.repeat",function(a){return a?a:function(b){var c=$jscomp.checkStringArgs(this,null,"repeat");if(0>b||1342177279<b)throw new RangeError("Invalid count value");b|=0;for(var d="";b;)if(b&1&&(d+=c),b>>>=1)c+=c;return d}},"es6","es3");var COMPILED=!0,goog=goog||{};goog.global=this||self;
+goog.exportPath_=function(a,b,c){a=a.split(".");c=c||goog.global;a[0]in c||"undefined"==typeof c.execScript||c.execScript("var "+a[0]);for(var d;a.length&&(d=a.shift());)a.length||void 0===b?c=c[d]&&c[d]!==Object.prototype[d]?c[d]:c[d]={}:c[d]=b};
+goog.define=function(a,b){if(!COMPILED){var c=goog.global.CLOSURE_UNCOMPILED_DEFINES,d=goog.global.CLOSURE_DEFINES;c&&void 0===c.nodeType&&Object.prototype.hasOwnProperty.call(c,a)?b=c[a]:d&&void 0===d.nodeType&&Object.prototype.hasOwnProperty.call(d,a)&&(b=d[a])}return b};goog.FEATURESET_YEAR=2012;goog.DEBUG=!0;goog.LOCALE="en";goog.TRUSTED_SITE=!0;goog.STRICT_MODE_COMPATIBLE=!1;goog.DISALLOW_TEST_ONLY_CODE=COMPILED&&!goog.DEBUG;goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING=!1;
 goog.provide=function(a){if(goog.isInModuleLoader_())throw Error("goog.provide cannot be used within a module.");if(!COMPILED&&goog.isProvided_(a))throw Error('Namespace "'+a+'" already declared.');goog.constructNamespace_(a)};goog.constructNamespace_=function(a,b){if(!COMPILED){delete goog.implicitNamespaces_[a];for(var c=a;(c=c.substring(0,c.lastIndexOf(".")))&&!goog.getObjectByName(c);)goog.implicitNamespaces_[c]=!0}goog.exportPath_(a,b)};
-goog.getScriptNonce=function(){null===goog.cspNonce_&&(goog.cspNonce_=goog.getScriptNonce_(goog.global.document)||"");return goog.cspNonce_};goog.NONCE_PATTERN_=/^[\w+/_-]+[=]{0,2}$/;goog.cspNonce_=null;goog.getScriptNonce_=function(a){return(a=a.querySelector("script[nonce]"))&&(a=a.nonce||a.getAttribute("nonce"))&&goog.NONCE_PATTERN_.test(a)?a:null};goog.VALID_MODULE_RE_=/^[a-zA-Z_$][a-zA-Z0-9._$]*$/;
-goog.module=function(a){if(!goog.isString(a)||!a||-1==a.search(goog.VALID_MODULE_RE_))throw Error("Invalid module identifier");if(!goog.isInGoogModuleLoader_())throw Error("Module "+a+" has been loaded incorrectly. Note, modules cannot be loaded as normal scripts. They require some kind of pre-processing step. You're likely trying to load a module via a script tag or as a part of a concatenated bundle without rewriting the module. For more info see: https://github.com/google/closure-library/wiki/goog.module:-an-ES6-module-like-alternative-to-goog.provide.");
-if(goog.moduleLoaderState_.moduleName)throw Error("goog.module may only be called once per module.");goog.moduleLoaderState_.moduleName=a;if(!COMPILED){if(goog.isProvided_(a))throw Error('Namespace "'+a+'" already declared.');delete goog.implicitNamespaces_[a]}};
-goog.module.get=function(a){if(!COMPILED&&a in goog.loadedModules_){if(goog.loadedModules_[a].type!=goog.ModuleType.GOOG)throw Error("Can only goog.module.get for goog.modules.");if(goog.loadedModules_[a].moduleId!=a)throw Error("Cannot goog.module.get by path.");}return goog.module.getInternal_(a)};goog.module.getInternal_=function(a){if(!COMPILED){if(a in goog.loadedModules_)return goog.loadedModules_[a].exports;if(!goog.implicitNamespaces_[a])return a=goog.getObjectByName(a),null!=a?a:null}return null};
-goog.ModuleType={ES6:"es6",GOOG:"goog"};goog.moduleLoaderState_=null;goog.isInModuleLoader_=function(){return goog.isInGoogModuleLoader_()||goog.isInEs6ModuleLoader_()};goog.isInGoogModuleLoader_=function(){return!!goog.moduleLoaderState_&&goog.moduleLoaderState_.type==goog.ModuleType.GOOG};
-goog.isInEs6ModuleLoader_=function(){if(goog.moduleLoaderState_&&goog.moduleLoaderState_.type==goog.ModuleType.ES6)return!0;var a=goog.global.$jscomp;return a?"function"!=typeof a.getCurrentModulePath?!1:!!a.getCurrentModulePath():!1};goog.getModulePath_=function(){return goog.moduleLoaderState_&&goog.moduleLoaderState_.path};
+goog.getScriptNonce=function(a){if(a&&a!=goog.global)return goog.getScriptNonce_(a.document);null===goog.cspNonce_&&(goog.cspNonce_=goog.getScriptNonce_(goog.global.document));return goog.cspNonce_};goog.NONCE_PATTERN_=/^[\w+/_-]+[=]{0,2}$/;goog.cspNonce_=null;goog.getScriptNonce_=function(a){return(a=a.querySelector&&a.querySelector("script[nonce]"))&&(a=a.nonce||a.getAttribute("nonce"))&&goog.NONCE_PATTERN_.test(a)?a:""};goog.VALID_MODULE_RE_=/^[a-zA-Z_$][a-zA-Z0-9._$]*$/;
+goog.module=function(a){if("string"!==typeof a||!a||-1==a.search(goog.VALID_MODULE_RE_))throw Error("Invalid module identifier");if(!goog.isInGoogModuleLoader_())throw Error("Module "+a+" has been loaded incorrectly. Note, modules cannot be loaded as normal scripts. They require some kind of pre-processing step. You're likely trying to load a module via a script tag or as a part of a concatenated bundle without rewriting the module. For more info see: https://github.com/google/closure-library/wiki/goog.module:-an-ES6-module-like-alternative-to-goog.provide.");
+if(goog.moduleLoaderState_.moduleName)throw Error("goog.module may only be called once per module.");goog.moduleLoaderState_.moduleName=a;if(!COMPILED){if(goog.isProvided_(a))throw Error('Namespace "'+a+'" already declared.');delete goog.implicitNamespaces_[a]}};goog.module.get=function(a){return goog.module.getInternal_(a)};
+goog.module.getInternal_=function(a){if(!COMPILED){if(a in goog.loadedModules_)return goog.loadedModules_[a].exports;if(!goog.implicitNamespaces_[a])return a=goog.getObjectByName(a),null!=a?a:null}return null};goog.ModuleType={ES6:"es6",GOOG:"goog"};goog.moduleLoaderState_=null;goog.isInModuleLoader_=function(){return goog.isInGoogModuleLoader_()||goog.isInEs6ModuleLoader_()};goog.isInGoogModuleLoader_=function(){return!!goog.moduleLoaderState_&&goog.moduleLoaderState_.type==goog.ModuleType.GOOG};
+goog.isInEs6ModuleLoader_=function(){if(goog.moduleLoaderState_&&goog.moduleLoaderState_.type==goog.ModuleType.ES6)return!0;var a=goog.global.$jscomp;return a?"function"!=typeof a.getCurrentModulePath?!1:!!a.getCurrentModulePath():!1};
 goog.module.declareLegacyNamespace=function(){if(!COMPILED&&!goog.isInGoogModuleLoader_())throw Error("goog.module.declareLegacyNamespace must be called from within a goog.module");if(!COMPILED&&!goog.moduleLoaderState_.moduleName)throw Error("goog.module must be called prior to goog.module.declareLegacyNamespace.");goog.moduleLoaderState_.declareLegacyNamespace=!0};
-goog.setTestOnly=function(a){if(goog.DISALLOW_TEST_ONLY_CODE)throw a=a||"",Error("Importing test-only code into non-debug environment"+(a?": "+a:"."));};goog.forwardDeclare=function(a){};COMPILED||(goog.isProvided_=function(a){return a in goog.loadedModules_||!goog.implicitNamespaces_[a]&&goog.isDefAndNotNull(goog.getObjectByName(a))},goog.implicitNamespaces_={"goog.module":!0});
-goog.getObjectByName=function(a,b){a=a.split(".");b=b||goog.global;for(var c=0;c<a.length;c++)if(b=b[a[c]],!goog.isDefAndNotNull(b))return null;return b};goog.globalize=function(a,b){b=b||goog.global;for(var c in a)b[c]=a[c]};goog.addDependency=function(a,b,c,d){!COMPILED&&goog.DEPENDENCIES_ENABLED&&goog.debugLoader_.addDependency(a,b,c,d)};goog.ENABLE_DEBUG_LOADER=!0;goog.logToConsole_=function(a){goog.global.console&&goog.global.console.error(a)};
-goog.isPath_=function(a){return 0==a.indexOf("./")||0==a.indexOf("../")};
-goog.require=function(a){if(goog.isPath_(a))if(goog.isInGoogModuleLoader_()){if(!goog.getModulePath_())throw Error("Current module has no path information. Was it loaded via goog.loadModule without a path argument?");a=goog.normalizePath_(goog.getModulePath_()+"/../"+a)}else throw Error("Cannot require by path outside of goog.modules.");if(!COMPILED){goog.ENABLE_DEBUG_LOADER&&goog.debugLoader_.requested(a);if(goog.isProvided_(a)){if(goog.isInModuleLoader_())return goog.module.getInternal_(a)}else if(goog.ENABLE_DEBUG_LOADER){var b=goog.moduleLoaderState_;
-goog.moduleLoaderState_=null;try{goog.debugLoader_.load_(a)}finally{goog.moduleLoaderState_=b}}return null}};goog.basePath="";goog.nullFunction=function(){};goog.abstractMethod=function(){throw Error("unimplemented abstract method");};goog.addSingletonGetter=function(a){a.instance_=void 0;a.getInstance=function(){if(a.instance_)return a.instance_;goog.DEBUG&&(goog.instantiatedSingletons_[goog.instantiatedSingletons_.length]=a);return a.instance_=new a}};goog.instantiatedSingletons_=[];
-goog.LOAD_MODULE_USING_EVAL=!0;goog.SEAL_MODULE_EXPORTS=goog.DEBUG;goog.loadedModules_={};goog.DEPENDENCIES_ENABLED=!COMPILED&&goog.ENABLE_DEBUG_LOADER;goog.TRANSPILE="detect";goog.TRANSPILER="transpile.js";goog.hasBadLetScoping=null;goog.useSafari10Workaround=function(){if(null==goog.hasBadLetScoping){try{var a=!eval('"use strict";let x = 1; function f() { return typeof x; };f() == "number";')}catch(b){a=!1}goog.hasBadLetScoping=a}return goog.hasBadLetScoping};
-goog.workaroundSafari10EvalBug=function(a){return"(function(){"+a+"\n;})();\n"};
-goog.loadModule=function(a,b){var c=goog.moduleLoaderState_;try{goog.moduleLoaderState_={moduleName:"",declareLegacyNamespace:!1,type:goog.ModuleType.GOOG,path:b};if(goog.isFunction(a))var d=a.call(void 0,{});else if(goog.isString(a))goog.useSafari10Workaround()&&(a=goog.workaroundSafari10EvalBug(a)),d=goog.loadModuleFromSource_.call(void 0,a);else throw Error("Invalid module definition");var e=goog.moduleLoaderState_.moduleName;if(goog.isString(e)&&e){goog.moduleLoaderState_.declareLegacyNamespace?
-goog.constructNamespace_(e,d):goog.SEAL_MODULE_EXPORTS&&Object.seal&&"object"==typeof d&&null!=d&&Object.seal(d);var f={exports:d,type:goog.ModuleType.GOOG,moduleId:goog.moduleLoaderState_.moduleName};goog.loadedModules_[e]=f;b&&(goog.loadedModules_[b]=f)}else throw Error('Invalid module name "'+e+'"');}finally{goog.moduleLoaderState_=c}};goog.loadModuleFromSource_=function(a){eval(a);return{}};
-goog.normalizePath_=function(a){a=a.split("/");for(var b=0;b<a.length;)"."==a[b]?a.splice(b,1):b&&".."==a[b]&&a[b-1]&&".."!=a[b-1]?a.splice(--b,2):b++;return a.join("/")};goog.loadFileSync_=function(a){if(goog.global.CLOSURE_LOAD_FILE_SYNC)return goog.global.CLOSURE_LOAD_FILE_SYNC(a);try{var b=new goog.global.XMLHttpRequest;b.open("get",a,!1);b.send();return 0==b.status||200==b.status?b.responseText:null}catch(c){return null}};
-goog.transpile_=function(a,b){var c=goog.global.$jscomp;c||(goog.global.$jscomp=c={});var d=c.transpile;if(!d){var e=goog.basePath+goog.TRANSPILER,f=goog.loadFileSync_(e);if(f){(function(){eval(f+"\n//# sourceURL="+e)}).call(goog.global);if(goog.global.$gwtExport&&goog.global.$gwtExport.$jscomp&&!goog.global.$gwtExport.$jscomp.transpile)throw Error('The transpiler did not properly export the "transpile" method. $gwtExport: '+JSON.stringify(goog.global.$gwtExport));goog.global.$jscomp.transpile=goog.global.$gwtExport.$jscomp.transpile;
-c=goog.global.$jscomp;d=c.transpile}}d||(d=c.transpile=function(a,b){goog.logToConsole_(b+" requires transpilation but no transpiler was found.");return a});return d(a,b)};
+goog.declareModuleId=function(a){if(!COMPILED){if(!goog.isInEs6ModuleLoader_())throw Error("goog.declareModuleId may only be called from within an ES6 module");if(goog.moduleLoaderState_&&goog.moduleLoaderState_.moduleName)throw Error("goog.declareModuleId may only be called once per module.");if(a in goog.loadedModules_)throw Error('Module with namespace "'+a+'" already exists.');}if(goog.moduleLoaderState_)goog.moduleLoaderState_.moduleName=a;else{var b=goog.global.$jscomp;if(!b||"function"!=typeof b.getCurrentModulePath)throw Error('Module with namespace "'+
+a+'" has been loaded incorrectly.');b=b.require(b.getCurrentModulePath());goog.loadedModules_[a]={exports:b,type:goog.ModuleType.ES6,moduleId:a}}};goog.setTestOnly=function(a){if(goog.DISALLOW_TEST_ONLY_CODE)throw a=a||"",Error("Importing test-only code into non-debug environment"+(a?": "+a:"."));};goog.forwardDeclare=function(a){};COMPILED||(goog.isProvided_=function(a){return a in goog.loadedModules_||!goog.implicitNamespaces_[a]&&null!=goog.getObjectByName(a)},goog.implicitNamespaces_={"goog.module":!0});
+goog.getObjectByName=function(a,b){a=a.split(".");b=b||goog.global;for(var c=0;c<a.length;c++)if(b=b[a[c]],null==b)return null;return b};goog.globalize=function(a,b){b=b||goog.global;for(var c in a)b[c]=a[c]};goog.addDependency=function(a,b,c,d){!COMPILED&&goog.DEPENDENCIES_ENABLED&&goog.debugLoader_.addDependency(a,b,c,d)};goog.ENABLE_DEBUG_LOADER=!0;goog.logToConsole_=function(a){goog.global.console&&goog.global.console.error(a)};
+goog.require=function(a){if(!COMPILED){goog.ENABLE_DEBUG_LOADER&&goog.debugLoader_.requested(a);if(goog.isProvided_(a)){if(goog.isInModuleLoader_())return goog.module.getInternal_(a)}else if(goog.ENABLE_DEBUG_LOADER){var b=goog.moduleLoaderState_;goog.moduleLoaderState_=null;try{goog.debugLoader_.load_(a)}finally{goog.moduleLoaderState_=b}}return null}};goog.requireType=function(a){return{}};goog.basePath="";goog.nullFunction=function(){};
+goog.abstractMethod=function(){throw Error("unimplemented abstract method");};goog.addSingletonGetter=function(a){a.instance_=void 0;a.getInstance=function(){if(a.instance_)return a.instance_;goog.DEBUG&&(goog.instantiatedSingletons_[goog.instantiatedSingletons_.length]=a);return a.instance_=new a}};goog.instantiatedSingletons_=[];goog.LOAD_MODULE_USING_EVAL=!0;goog.SEAL_MODULE_EXPORTS=goog.DEBUG;goog.loadedModules_={};goog.DEPENDENCIES_ENABLED=!COMPILED&&goog.ENABLE_DEBUG_LOADER;goog.TRANSPILE="detect";
+goog.ASSUME_ES_MODULES_TRANSPILED=!1;goog.TRANSPILE_TO_LANGUAGE="";goog.TRANSPILER="transpile.js";goog.hasBadLetScoping=null;goog.useSafari10Workaround=function(){if(null==goog.hasBadLetScoping){try{var a=!eval('"use strict";let x = 1; function f() { return typeof x; };f() == "number";')}catch(b){a=!1}goog.hasBadLetScoping=a}return goog.hasBadLetScoping};goog.workaroundSafari10EvalBug=function(a){return"(function(){"+a+"\n;})();\n"};
+goog.loadModule=function(a){var b=goog.moduleLoaderState_;try{goog.moduleLoaderState_={moduleName:"",declareLegacyNamespace:!1,type:goog.ModuleType.GOOG};if(goog.isFunction(a))var c=a.call(void 0,{});else if("string"===typeof a)goog.useSafari10Workaround()&&(a=goog.workaroundSafari10EvalBug(a)),c=goog.loadModuleFromSource_.call(void 0,a);else throw Error("Invalid module definition");var d=goog.moduleLoaderState_.moduleName;if("string"===typeof d&&d)goog.moduleLoaderState_.declareLegacyNamespace?goog.constructNamespace_(d,
+c):goog.SEAL_MODULE_EXPORTS&&Object.seal&&"object"==typeof c&&null!=c&&Object.seal(c),goog.loadedModules_[d]={exports:c,type:goog.ModuleType.GOOG,moduleId:goog.moduleLoaderState_.moduleName};else throw Error('Invalid module name "'+d+'"');}finally{goog.moduleLoaderState_=b}};goog.loadModuleFromSource_=function(a){eval(a);return{}};goog.normalizePath_=function(a){a=a.split("/");for(var b=0;b<a.length;)"."==a[b]?a.splice(b,1):b&&".."==a[b]&&a[b-1]&&".."!=a[b-1]?a.splice(--b,2):b++;return a.join("/")};
+goog.loadFileSync_=function(a){if(goog.global.CLOSURE_LOAD_FILE_SYNC)return goog.global.CLOSURE_LOAD_FILE_SYNC(a);try{var b=new goog.global.XMLHttpRequest;b.open("get",a,!1);b.send();return 0==b.status||200==b.status?b.responseText:null}catch(c){return null}};
+goog.transpile_=function(a,b,c){var d=goog.global.$jscomp;d||(goog.global.$jscomp=d={});var e=d.transpile;if(!e){var f=goog.basePath+goog.TRANSPILER,g=goog.loadFileSync_(f);if(g){(function(){(0,eval)(g+"\n//# sourceURL="+f)}).call(goog.global);if(goog.global.$gwtExport&&goog.global.$gwtExport.$jscomp&&!goog.global.$gwtExport.$jscomp.transpile)throw Error('The transpiler did not properly export the "transpile" method. $gwtExport: '+JSON.stringify(goog.global.$gwtExport));goog.global.$jscomp.transpile=
+goog.global.$gwtExport.$jscomp.transpile;d=goog.global.$jscomp;e=d.transpile}}e||(e=d.transpile=function(h,k){goog.logToConsole_(k+" requires transpilation but no transpiler was found.");return h});return e(a,b,c)};
 goog.typeOf=function(a){var b=typeof a;if("object"==b)if(a){if(a instanceof Array)return"array";if(a instanceof Object)return b;var c=Object.prototype.toString.call(a);if("[object Window]"==c)return"object";if("[object Array]"==c||"number"==typeof a.length&&"undefined"!=typeof a.splice&&"undefined"!=typeof a.propertyIsEnumerable&&!a.propertyIsEnumerable("splice"))return"array";if("[object Function]"==c||"undefined"!=typeof a.call&&"undefined"!=typeof a.propertyIsEnumerable&&!a.propertyIsEnumerable("call"))return"function"}else return"null";
-else if("function"==b&&"undefined"==typeof a.call)return"object";return b};goog.isNull=function(a){return null===a};goog.isDefAndNotNull=function(a){return null!=a};goog.isArray=function(a){return"array"==goog.typeOf(a)};goog.isArrayLike=function(a){var b=goog.typeOf(a);return"array"==b||"object"==b&&"number"==typeof a.length};goog.isDateLike=function(a){return goog.isObject(a)&&"function"==typeof a.getFullYear};goog.isFunction=function(a){return"function"==goog.typeOf(a)};
-goog.isObject=function(a){var b=typeof a;return"object"==b&&null!=a||"function"==b};goog.getUid=function(a){return a[goog.UID_PROPERTY_]||(a[goog.UID_PROPERTY_]=++goog.uidCounter_)};goog.hasUid=function(a){return!!a[goog.UID_PROPERTY_]};goog.removeUid=function(a){null!==a&&"removeAttribute"in a&&a.removeAttribute(goog.UID_PROPERTY_);try{delete a[goog.UID_PROPERTY_]}catch(b){}};goog.UID_PROPERTY_="closure_uid_"+(1E9*Math.random()>>>0);goog.uidCounter_=0;goog.getHashCode=goog.getUid;
-goog.removeHashCode=goog.removeUid;goog.cloneObject=function(a){var b=goog.typeOf(a);if("object"==b||"array"==b){if("function"===typeof a.clone)return a.clone();b="array"==b?[]:{};for(var c in a)b[c]=goog.cloneObject(a[c]);return b}return a};goog.bindNative_=function(a,b,c){return a.call.apply(a.bind,arguments)};
-goog.bindJs_=function(a,b,c){if(!a)throw Error();if(2<arguments.length){var d=Array.prototype.slice.call(arguments,2);return function(){var c=Array.prototype.slice.call(arguments);Array.prototype.unshift.apply(c,d);return a.apply(b,c)}}return function(){return a.apply(b,arguments)}};goog.bind=function(a,b,c){Function.prototype.bind&&-1!=Function.prototype.bind.toString().indexOf("native code")?goog.bind=goog.bindNative_:goog.bind=goog.bindJs_;return goog.bind.apply(null,arguments)};
-goog.partial=function(a,b){var c=Array.prototype.slice.call(arguments,1);return function(){var b=c.slice();b.push.apply(b,arguments);return a.apply(this,b)}};goog.mixin=function(a,b){for(var c in b)a[c]=b[c]};goog.now=goog.TRUSTED_SITE&&Date.now||function(){return+new Date};
-goog.globalEval=function(a){if(goog.global.execScript)goog.global.execScript(a,"JavaScript");else if(goog.global.eval){if(null==goog.evalWorksForGlobals_){try{goog.global.eval("var _evalTest_ = 1;")}catch(d){}if("undefined"!=typeof goog.global._evalTest_){try{delete goog.global._evalTest_}catch(d){}goog.evalWorksForGlobals_=!0}else goog.evalWorksForGlobals_=!1}if(goog.evalWorksForGlobals_)goog.global.eval(a);else{var b=goog.global.document,c=b.createElement("SCRIPT");c.type="text/javascript";c.defer=
-!1;c.appendChild(b.createTextNode(a));b.head.appendChild(c);b.head.removeChild(c)}}else throw Error("goog.globalEval not available");};goog.evalWorksForGlobals_=null;
-goog.getCssName=function(a,b){if("."==String(a).charAt(0))throw Error('className passed in goog.getCssName must not start with ".". You passed: '+a);var c=function(a){return goog.cssNameMapping_[a]||a},d=function(a){a=a.split("-");for(var b=[],d=0;d<a.length;d++)b.push(c(a[d]));return b.join("-")};d=goog.cssNameMapping_?"BY_WHOLE"==goog.cssNameMappingStyle_?c:d:function(a){return a};a=b?a+"-"+d(b):d(a);return goog.global.CLOSURE_CSS_NAME_MAP_FN?goog.global.CLOSURE_CSS_NAME_MAP_FN(a):a};
-goog.setCssNameMapping=function(a,b){goog.cssNameMapping_=a;goog.cssNameMappingStyle_=b};!COMPILED&&goog.global.CLOSURE_CSS_NAME_MAPPING&&(goog.cssNameMapping_=goog.global.CLOSURE_CSS_NAME_MAPPING);goog.getMsg=function(a,b){b&&(a=a.replace(/\{\$([^}]+)}/g,function(a,d){return null!=b&&d in b?b[d]:a}));return a};goog.getMsgWithFallback=function(a,b){return a};goog.exportSymbol=function(a,b,c){goog.exportPath_(a,b,c)};goog.exportProperty=function(a,b,c){a[b]=c};
-goog.inherits=function(a,b){function c(){}c.prototype=b.prototype;a.superClass_=b.prototype;a.prototype=new c;a.prototype.constructor=a;a.base=function(a,c,f){for(var d=Array(arguments.length-2),e=2;e<arguments.length;e++)d[e-2]=arguments[e];return b.prototype[c].apply(a,d)}};
-goog.base=function(a,b,c){var d=arguments.callee.caller;if(goog.STRICT_MODE_COMPATIBLE||goog.DEBUG&&!d)throw Error("arguments.caller not defined.  goog.base() cannot be used with strict mode code. See http://www.ecma-international.org/ecma-262/5.1/#sec-C");if("undefined"!==typeof d.superClass_){for(var e=Array(arguments.length-1),f=1;f<arguments.length;f++)e[f-1]=arguments[f];return d.superClass_.constructor.apply(a,e)}if("string"!=typeof b&&"symbol"!=typeof b)throw Error("method names provided to goog.base must be a string or a symbol");
-e=Array(arguments.length-2);for(f=2;f<arguments.length;f++)e[f-2]=arguments[f];f=!1;for(var g=a.constructor;g;g=g.superClass_&&g.superClass_.constructor)if(g.prototype[b]===d)f=!0;else if(f)return g.prototype[b].apply(a,e);if(a[b]===d)return a.constructor.prototype[b].apply(a,e);throw Error("goog.base called from a method of one name to a method of a different name");};goog.scope=function(a){if(goog.isInModuleLoader_())throw Error("goog.scope is not supported within a module.");a.call(goog.global)};
-COMPILED||(goog.global.COMPILED=COMPILED);goog.defineClass=function(a,b){var c=b.constructor,d=b.statics;c&&c!=Object.prototype.constructor||(c=function(){throw Error("cannot instantiate an interface (no constructor defined).");});c=goog.defineClass.createSealingConstructor_(c,a);a&&goog.inherits(c,a);delete b.constructor;delete b.statics;goog.defineClass.applyProperties_(c.prototype,b);null!=d&&(d instanceof Function?d(c):goog.defineClass.applyProperties_(c,d));return c};
-goog.defineClass.SEAL_CLASS_INSTANCES=goog.DEBUG;goog.defineClass.createSealingConstructor_=function(a,b){if(!goog.defineClass.SEAL_CLASS_INSTANCES)return a;var c=!goog.defineClass.isUnsealable_(b),d=function(){var b=a.apply(this,arguments)||this;b[goog.UID_PROPERTY_]=b[goog.UID_PROPERTY_];this.constructor===d&&c&&Object.seal instanceof Function&&Object.seal(b);return b};return d};goog.defineClass.isUnsealable_=function(a){return a&&a.prototype&&a.prototype[goog.UNSEALABLE_CONSTRUCTOR_PROPERTY_]};
-goog.defineClass.OBJECT_PROTOTYPE_FIELDS_="constructor hasOwnProperty isPrototypeOf propertyIsEnumerable toLocaleString toString valueOf".split(" ");goog.defineClass.applyProperties_=function(a,b){for(var c in b)Object.prototype.hasOwnProperty.call(b,c)&&(a[c]=b[c]);for(var d=0;d<goog.defineClass.OBJECT_PROTOTYPE_FIELDS_.length;d++)c=goog.defineClass.OBJECT_PROTOTYPE_FIELDS_[d],Object.prototype.hasOwnProperty.call(b,c)&&(a[c]=b[c])};
-goog.tagUnsealableClass=function(a){!COMPILED&&goog.defineClass.SEAL_CLASS_INSTANCES&&(a.prototype[goog.UNSEALABLE_CONSTRUCTOR_PROPERTY_]=!0)};goog.UNSEALABLE_CONSTRUCTOR_PROPERTY_="goog_defineClass_legacy_unsealable";
-!COMPILED&&goog.DEPENDENCIES_ENABLED&&(goog.inHtmlDocument_=function(){var a=goog.global.document;return null!=a&&"write"in a},goog.isDocumentLoading_=function(){var a=goog.global.document;return a.attachEvent?"complete"!=a.readyState:"loading"==a.readyState},goog.findBasePath_=function(){if(goog.isDef(goog.global.CLOSURE_BASE_PATH)&&goog.isString(goog.global.CLOSURE_BASE_PATH))goog.basePath=goog.global.CLOSURE_BASE_PATH;else if(goog.inHtmlDocument_()){var a=goog.global.document,b=a.currentScript;
-a=b?[b]:a.getElementsByTagName("SCRIPT");for(b=a.length-1;0<=b;--b){var c=a[b].src,d=c.lastIndexOf("?");d=-1==d?c.length:d;if("base.js"==c.substr(d-7,7)){goog.basePath=c.substr(0,d-7);break}}}},goog.findBasePath_(),goog.Transpiler=function(){this.requiresTranspilation_=null},goog.Transpiler.prototype.createRequiresTranspilation_=function(){function a(a,b){d?c[a]=!0:b()?c[a]=!1:d=c[a]=!0}function b(a){try{return!!eval(a)}catch(g){return!1}}var c={es3:!1},d=!1,e=goog.global.navigator&&goog.global.navigator.userAgent?
-goog.global.navigator.userAgent:"";a("es5",function(){return b("[1,].length==1")});a("es6",function(){var a=e.match(/Edge\/(\d+)(\.\d)*/i);return a&&15>Number(a[1])?!1:b('(()=>{"use strict";class X{constructor(){if(new.target!=String)throw 1;this.x=42}}let q=Reflect.construct(X,[],String);if(q.x!=42||!(q instanceof String))throw 1;for(const a of[2,3]){if(a==2)continue;function f(z={a}){let a=0;return z.a}{function f(){return 0;}}return f()==3}})()')});a("es6-impl",function(){return!0});a("es7",function(){return b("2 ** 2 == 4")});
-a("es8",function(){return b("async () => 1, true")});a("es9",function(){return b("({...rest} = {}), true")});a("es_next",function(){return!1});return c},goog.Transpiler.prototype.needsTranspile=function(a,b){if("always"==goog.TRANSPILE)return!0;if("never"==goog.TRANSPILE)return!1;this.requiresTranspilation_||(this.requiresTranspilation_=this.createRequiresTranspilation_());if(a in this.requiresTranspilation_)return this.requiresTranspilation_[a]?!0:!goog.inHtmlDocument_()||"es6"!=b||"noModule"in goog.global.document.createElement("script")?
-!1:!0;throw Error("Unknown language mode: "+a);},goog.Transpiler.prototype.transpile=function(a,b){return goog.transpile_(a,b)},goog.transpiler_=new goog.Transpiler,goog.protectScriptTag_=function(a){return a.replace(/<\/(SCRIPT)/ig,"\\x3c/$1")},goog.DebugLoader_=function(){this.dependencies_={};this.idToPath_={};this.written_={};this.loadingDeps_=[];this.depsToLoad_=[];this.paused_=!1;this.factory_=new goog.DependencyFactory(goog.transpiler_);this.deferredCallbacks_={};this.deferredQueue_=[]},goog.DebugLoader_.prototype.bootstrap=
-function(a,b){function c(){d&&(goog.global.setTimeout(d,0),d=null)}var d=b;if(a.length){b=[];for(var e=0;e<a.length;e++){var f=this.getPathFromDeps_(a[e]);if(!f)throw Error("Unregonized namespace: "+a[e]);b.push(this.dependencies_[f])}f=goog.require;var g=0;for(e=0;e<a.length;e++)f(a[e]),b[e].onLoad(function(){++g==a.length&&c()})}else c()},goog.DebugLoader_.prototype.loadClosureDeps=function(){this.depsToLoad_.push(this.factory_.createDependency(goog.normalizePath_(goog.basePath+"deps.js"),"deps.js",
-[],[],{},!1));this.loadDeps_()},goog.DebugLoader_.prototype.requested=function(a,b){(a=this.getPathFromDeps_(a))&&(b||this.areDepsLoaded_(this.dependencies_[a].requires))&&(b=this.deferredCallbacks_[a])&&(delete this.deferredCallbacks_[a],b())},goog.DebugLoader_.prototype.setDependencyFactory=function(a){this.factory_=a},goog.DebugLoader_.prototype.load_=function(a){if(this.getPathFromDeps_(a)){var b=this,c=[],d=function(a){var e=b.getPathFromDeps_(a);if(!e)throw Error("Bad dependency path or symbol: "+
-a);if(!b.written_[e]){b.written_[e]=!0;a=b.dependencies_[e];for(e=0;e<a.requires.length;e++)goog.isProvided_(a.requires[e])||d(a.requires[e]);c.push(a)}};d(a);a=!!this.depsToLoad_.length;this.depsToLoad_=this.depsToLoad_.concat(c);this.paused_||a||this.loadDeps_()}else throw a="goog.require could not find: "+a,goog.logToConsole_(a),Error(a);},goog.DebugLoader_.prototype.loadDeps_=function(){for(var a=this,b=this.paused_;this.depsToLoad_.length&&!b;)(function(){var c=!1,d=a.depsToLoad_.shift(),e=!1;
-a.loading_(d);var f={pause:function(){if(c)throw Error("Cannot call pause after the call to load.");b=!0},resume:function(){c?a.resume_():b=!1},loaded:function(){if(e)throw Error("Double call to loaded.");e=!0;a.loaded_(d)},pending:function(){for(var b=[],c=0;c<a.loadingDeps_.length;c++)b.push(a.loadingDeps_[c]);return b},setModuleState:function(a,b){goog.moduleLoaderState_={path:a,type:b,moduleName:"",declareLegacyNamespace:!1}},registerEs6ModuleExports:function(a,b){goog.loadedModules_[a]={exports:b,
-type:goog.ModuleType.ES6,moduleId:""}},registerGoogModuleExports:function(a,b){goog.loadedModules_[a]={exports:b,type:goog.ModuleType.GOOG,moduleId:a}},clearModuleState:function(){goog.moduleLoaderState_=null},defer:function(b){if(c)throw Error("Cannot register with defer after the call to load.");a.defer_(d,b)},areDepsLoaded:function(){return a.areDepsLoaded_(d.requires)}};try{d.load(f)}finally{c=!0}})();b&&this.pause_()},goog.DebugLoader_.prototype.pause_=function(){this.paused_=!0},goog.DebugLoader_.prototype.resume_=
-function(){this.paused_&&(this.paused_=!1,this.loadDeps_())},goog.DebugLoader_.prototype.loading_=function(a){this.loadingDeps_.push(a)},goog.DebugLoader_.prototype.loaded_=function(a){for(var b=0;b<this.loadingDeps_.length;b++)if(this.loadingDeps_[b]==a){this.loadingDeps_.splice(b,1);break}for(b=0;b<this.deferredQueue_.length;b++)if(this.deferredQueue_[b]==a.path){this.deferredQueue_.splice(b,1);break}if(this.loadingDeps_.length==this.deferredQueue_.length&&!this.depsToLoad_.length)for(;this.deferredQueue_.length;)this.requested(this.deferredQueue_.shift(),
-!0);a.loaded()},goog.DebugLoader_.prototype.areDepsLoaded_=function(a){for(var b=0;b<a.length;b++){var c=this.getPathFromDeps_(a[b]);if(!c||!(c in this.deferredCallbacks_||goog.isProvided_(a[b])))return!1}return!0},goog.DebugLoader_.prototype.getPathFromDeps_=function(a){return a in this.idToPath_?this.idToPath_[a]:a in this.dependencies_?a:null},goog.DebugLoader_.prototype.defer_=function(a,b){this.deferredCallbacks_[a.path]=b;this.deferredQueue_.push(a.path)},goog.LoadController=function(){},goog.LoadController.prototype.pause=
-function(){},goog.LoadController.prototype.resume=function(){},goog.LoadController.prototype.loaded=function(){},goog.LoadController.prototype.pending=function(){},goog.LoadController.prototype.registerEs6ModuleExports=function(a,b){},goog.LoadController.prototype.setModuleState=function(a,b){},goog.LoadController.prototype.clearModuleState=function(){},goog.LoadController.prototype.defer=function(a){},goog.LoadController.prototype.areDepsLoaded=function(){},goog.Dependency=function(a,b,c,d,e){this.path=
-a;this.relativePath=b;this.provides=c;this.requires=d;this.loadFlags=e;this.loaded_=!1;this.loadCallbacks_=[]},goog.Dependency.prototype.onLoad=function(a){this.loaded_?a():this.loadCallbacks_.push(a)},goog.Dependency.prototype.loaded=function(){this.loaded_=!0;var a=this.loadCallbacks_;this.loadCallbacks_=[];for(var b=0;b<a.length;b++)a[b]()},goog.Dependency.defer_=!1,goog.Dependency.callbackMap_={},goog.Dependency.registerCallback_=function(a){var b=Math.random().toString(32);goog.Dependency.callbackMap_[b]=
-a;return b},goog.Dependency.unregisterCallback_=function(a){delete goog.Dependency.callbackMap_[a]},goog.Dependency.callback_=function(a,b){if(a in goog.Dependency.callbackMap_){for(var c=goog.Dependency.callbackMap_[a],d=[],e=1;e<arguments.length;e++)d.push(arguments[e]);c.apply(void 0,d)}else throw Error("Callback key "+a+" does not exist (was base.js loaded more than once?).");},goog.Dependency.prototype.load=function(a){if(goog.global.CLOSURE_IMPORT_SCRIPT)goog.global.CLOSURE_IMPORT_SCRIPT(this.path)?
-a.loaded():a.pause();else if(goog.inHtmlDocument_()){var b=goog.global.document;if("complete"==b.readyState&&!goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING){if(/\bdeps.js$/.test(this.path)){a.loaded();return}throw Error('Cannot write "'+this.path+'" after document load');}if(!goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING&&goog.isDocumentLoading_()){var c=goog.Dependency.registerCallback_(function(b){goog.DebugLoader_.IS_OLD_IE_&&"complete"!=b.readyState||(goog.Dependency.unregisterCallback_(c),a.loaded())});
-b.write('<script src="'+this.path+'" '+(goog.DebugLoader_.IS_OLD_IE_?"onreadystatechange":"onload")+"=\"goog.Dependency.callback_('"+c+'\', this)" type="text/javascript" '+(goog.Dependency.defer_?"defer":"")+">\x3c/script>")}else{var d=b.createElement("script");d.defer=goog.Dependency.defer_;d.async=!1;d.type="text/javascript";var e=goog.getScriptNonce();e&&(d.nonce=e);goog.DebugLoader_.IS_OLD_IE_?(a.pause(),d.onreadystatechange=function(){if("loaded"==d.readyState||"complete"==d.readyState)a.loaded(),
-a.resume()}):d.onload=function(){d.onload=null;a.loaded()};d.src=this.path;b.head.appendChild(d)}}else goog.logToConsole_("Cannot use default debug loader outside of HTML documents."),"deps.js"==this.relativePath?(goog.logToConsole_("Consider setting CLOSURE_IMPORT_SCRIPT before loading base.js, or seting CLOSURE_NO_DEPS to true."),a.loaded()):a.pause()},goog.Es6ModuleDependency=function(a,b,c,d,e){goog.Dependency.call(this,a,b,c,d,e)},goog.inherits(goog.Es6ModuleDependency,goog.Dependency),goog.Es6ModuleDependency.prototype.load=
-function(a){function b(a,b){b?d.write('<script type="module" crossorigin>'+b+"\x3c/script>"):d.write('<script type="module" crossorigin src="'+a+'">\x3c/script>')}function c(a,b){var c=d.createElement("script");c.defer=!0;c.async=!1;c.type="module";c.setAttribute("crossorigin",!0);var e=goog.getScriptNonce();e&&(c.nonce=e);b?c.textContent=b:c.src=a;d.head.appendChild(c)}if(goog.global.CLOSURE_IMPORT_SCRIPT)goog.global.CLOSURE_IMPORT_SCRIPT(this.path)?a.loaded():a.pause();else if(goog.inHtmlDocument_()){var d=
-goog.global.document,e=this;if(goog.isDocumentLoading_()){var f=b;goog.Dependency.defer_=!0}else f=c;var g=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(g);a.setModuleState(e.path,goog.ModuleType.ES6)});f(void 0,'goog.Dependency.callback_("'+g+'")');f(this.path,void 0);var h=goog.Dependency.registerCallback_(function(b){goog.Dependency.unregisterCallback_(h);a.registerEs6ModuleExports(e.path,b)});f(void 0,'import * as m from "'+this.path+'"; goog.Dependency.callback_("'+
-h+'", m)');var k=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(k);a.clearModuleState();a.loaded()});f(void 0,'goog.Dependency.callback_("'+k+'")')}else goog.logToConsole_("Cannot use default debug loader outside of HTML documents."),a.pause()},goog.TransformedDependency=function(a,b,c,d,e){goog.Dependency.call(this,a,b,c,d,e);this.contents_=null},goog.inherits(goog.TransformedDependency,goog.Dependency),goog.TransformedDependency.prototype.load=function(a){function b(){e.contents_=
-goog.loadFileSync_(e.path);e.contents_&&(e.contents_=e.transform(e.contents_),e.contents_&&(e.contents_+="\n//# sourceURL="+e.path))}function c(){b();if(e.contents_){f&&a.setModuleState(e.path,goog.ModuleType.ES6);try{var c=e.contents_;e.contents_=null;goog.globalEval(c)}finally{f&&a.clearModuleState()}f&&goog.global.$jscomp.require.ensure([e.path],function(){a.registerEs6ModuleExports(e.path,goog.global.$jscomp.require(e.path))});a.loaded()}}function d(){var a=goog.global.document,b=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(b);
-c()});a.write('<script type="text/javascript">'+goog.protectScriptTag_('goog.Dependency.callback_("'+b+'");')+"\x3c/script>")}var e=this;if(goog.global.CLOSURE_IMPORT_SCRIPT)b(),this.contents_&&goog.global.CLOSURE_IMPORT_SCRIPT("",this.contents_)?(this.contents_=null,a.loaded()):a.pause();else{var f=this.loadFlags.module==goog.ModuleType.ES6;if(1<a.pending().length&&goog.DebugLoader_.IS_OLD_IE_||goog.Dependency.defer_&&goog.isDocumentLoading_())a.defer(function(){c()});else if(f&&goog.inHtmlDocument_()&&
-goog.isDocumentLoading_()){goog.Dependency.defer_=!0;var g=goog.global.document;a.pause();var h=g.onreadystatechange;g.onreadystatechange=function(){if(g.attachEvent?"complete"==g.readyState:"interactive"==g.readyState)g.onreadystatechange=h,c(),a.resume();goog.isFunction(h)&&h.apply(void 0,arguments)}}else!goog.DebugLoader_.IS_OLD_IE_&&goog.inHtmlDocument_()&&goog.isDocumentLoading_()?d():c()}},goog.TransformedDependency.prototype.transform=function(a){},goog.TranspiledDependency=function(a,b,c,
-d,e,f){goog.TransformedDependency.call(this,a,b,c,d,e);this.transpiler=f},goog.inherits(goog.TranspiledDependency,goog.TransformedDependency),goog.TranspiledDependency.prototype.transform=function(a){return this.transpiler.transpile(a,this.path)},goog.GoogModuleDependency=function(a,b,c,d,e,f,g){goog.TransformedDependency.call(this,a,b,c,d,e);this.needsTranspile_=f;this.transpiler_=g},goog.inherits(goog.GoogModuleDependency,goog.TransformedDependency),goog.GoogModuleDependency.prototype.transform=
-function(a){this.needsTranspile_&&(a=this.transpiler_.transpile(a,this.path));return goog.LOAD_MODULE_USING_EVAL&&goog.isDef(goog.global.JSON)?"goog.loadModule("+goog.global.JSON.stringify(a+"\n//# sourceURL="+this.path+"\n")+', "'+this.path+'");':'goog.loadModule(function(exports) {"use strict";'+a+'\n;return exports}, "'+this.path+'");\n//# sourceURL='+this.path+"\n"},goog.DebugLoader_.IS_OLD_IE_=!(goog.global.atob||!goog.global.document||!goog.global.document.all),goog.DebugLoader_.prototype.addDependency=
-function(a,b,c,d){b=b||[];a=a.replace(/\\/g,"/");var e=goog.normalizePath_(goog.basePath+a);d&&"boolean"!==typeof d||(d=d?{module:goog.ModuleType.GOOG}:{});c=this.factory_.createDependency(e,a,b,c,d,goog.transpiler_.needsTranspile(d.lang||"es3",d.module));this.dependencies_[e]=c;for(c=0;c<b.length;c++)this.idToPath_[b[c]]=e;this.idToPath_[a]=e},goog.DependencyFactory=function(a){this.transpiler=a},goog.DependencyFactory.prototype.createDependency=function(a,b,c,d,e,f){return e.module==goog.ModuleType.GOOG?
-new goog.GoogModuleDependency(a,b,c,d,e,f,this.transpiler):f?new goog.TranspiledDependency(a,b,c,d,e,this.transpiler):e.module==goog.ModuleType.ES6?new goog.Es6ModuleDependency(a,b,c,d,e):new goog.Dependency(a,b,c,d,e)},goog.debugLoader_=new goog.DebugLoader_,goog.loadClosureDeps=function(){goog.debugLoader_.loadClosureDeps()},goog.setDependencyFactory=function(a){goog.debugLoader_.setDependencyFactory(a)},goog.global.CLOSURE_NO_DEPS||goog.debugLoader_.loadClosureDeps(),goog.bootstrap=function(a,
-b){goog.debugLoader_.bootstrap(a,b)});var sre={Variables:function(){}};sre.Variables.VERSION="2.2.2";sre.Variables.LOCALES=["en","es"];sre.Variables.mathjaxVersion="2.7.4";sre.Variables.url="https://cdn.jsdelivr.net/npm/speech-rule-engine@"+sre.Variables.VERSION+"/lib/mathmaps";sre.Variables.WGXpath="https://cdnjs.cloudflare.com/ajax/libs/mathjax/"+sre.Variables.mathjaxVersion+"/extensions/a11y/wgxpath.install.js";sre.SystemExternal=function(){};sre.SystemExternal.require=function(a){return"undefined"!==typeof process&&"undefined"!==typeof require?require(a):null};sre.SystemExternal.documentSupported=function(){return"undefined"!=typeof document};sre.SystemExternal.process=sre.SystemExternal.require("process");sre.SystemExternal.xmldom=sre.SystemExternal.documentSupported()?window:sre.SystemExternal.require("xmldom-sre");
-sre.SystemExternal.document=sre.SystemExternal.documentSupported()?document:(new sre.SystemExternal.xmldom.DOMImplementation).createDocument("","",0);sre.SystemExternal.xpath=sre.SystemExternal.documentSupported()?document:function(){var a={document:{}};sre.SystemExternal.require("wicked-good-xpath").install(a);a.document.XPathResult=a.XPathResult;return a.document}();sre.SystemExternal.commander=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("commander");
-sre.SystemExternal.fs=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("fs");sre.SystemExternal.xm=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("xml-mapping");sre.SystemExternal.url=sre.Variables.url;sre.SystemExternal.jsonPath=function(){return(sre.SystemExternal.process&&"undefined"!==typeof global?sre.SystemExternal.process.env.SRE_JSON_PATH||global.SRE_JSON_PATH||sre.SystemExternal.process.cwd():sre.SystemExternal.url)+"/"}();
-sre.SystemExternal.WGXpath=sre.Variables.WGXpath;sre.SystemExternal.wgxpath=null;sre.BrowserUtil={};sre.BrowserUtil.detectIE=function(){if(!("undefined"!==typeof window&&"ActiveXObject"in window&&"clipboardData"in window))return!1;sre.BrowserUtil.loadMapsForIE_();sre.BrowserUtil.loadWGXpath_();return!0};sre.BrowserUtil.detectEdge=function(){if(!("undefined"!==typeof window&&"MSGestureEvent"in window&&"chrome"in window&&null==window.chrome.loadTimes))return!1;document.evaluate=null;sre.BrowserUtil.loadWGXpath_(!0);return!0};sre.BrowserUtil.mapsForIE=null;
+else if("function"==b&&"undefined"==typeof a.call)return"object";return b};goog.isArray=function(a){return Array.isArray(a)};goog.isArrayLike=function(a){var b=goog.typeOf(a);return"array"==b||"object"==b&&"number"==typeof a.length};goog.isDateLike=function(a){return goog.isObject(a)&&"function"==typeof a.getFullYear};goog.isFunction=function(a){return"function"==goog.typeOf(a)};goog.isObject=function(a){var b=typeof a;return"object"==b&&null!=a||"function"==b};
+goog.getUid=function(a){return Object.prototype.hasOwnProperty.call(a,goog.UID_PROPERTY_)&&a[goog.UID_PROPERTY_]||(a[goog.UID_PROPERTY_]=++goog.uidCounter_)};goog.hasUid=function(a){return!!a[goog.UID_PROPERTY_]};goog.removeUid=function(a){null!==a&&"removeAttribute"in a&&a.removeAttribute(goog.UID_PROPERTY_);try{delete a[goog.UID_PROPERTY_]}catch(b){}};goog.UID_PROPERTY_="closure_uid_"+(1E9*Math.random()>>>0);goog.uidCounter_=0;goog.getHashCode=goog.getUid;goog.removeHashCode=goog.removeUid;
+goog.cloneObject=function(a){var b=goog.typeOf(a);if("object"==b||"array"==b){if("function"===typeof a.clone)return a.clone();b="array"==b?[]:{};for(var c in a)b[c]=goog.cloneObject(a[c]);return b}return a};goog.bindNative_=function(a,b,c){return a.call.apply(a.bind,arguments)};
+goog.bindJs_=function(a,b,c){if(!a)throw Error();if(2<arguments.length){var d=Array.prototype.slice.call(arguments,2);return function(){var e=Array.prototype.slice.call(arguments);Array.prototype.unshift.apply(e,d);return a.apply(b,e)}}return function(){return a.apply(b,arguments)}};goog.bind=function(a,b,c){Function.prototype.bind&&-1!=Function.prototype.bind.toString().indexOf("native code")?goog.bind=goog.bindNative_:goog.bind=goog.bindJs_;return goog.bind.apply(null,arguments)};
+goog.partial=function(a,b){var c=Array.prototype.slice.call(arguments,1);return function(){var d=c.slice();d.push.apply(d,arguments);return a.apply(this,d)}};goog.mixin=function(a,b){for(var c in b)a[c]=b[c]};goog.now=goog.TRUSTED_SITE&&Date.now||function(){return+new Date};
+goog.globalEval=function(a){if(goog.global.execScript)goog.global.execScript(a,"JavaScript");else if(goog.global.eval){if(null==goog.evalWorks_)try{goog.global.eval(""),goog.evalWorks_=!0}catch(d){goog.evalWorks_=!1}if(goog.evalWorks_)goog.global.eval(a);else{var b=goog.global.document,c=b.createElement("script");c.type="text/javascript";c.defer=!1;c.appendChild(b.createTextNode(a));b.head.appendChild(c);b.head.removeChild(c)}}else throw Error("goog.globalEval not available");};goog.evalWorks_=null;
+goog.getCssName=function(a,b){if("."==String(a).charAt(0))throw Error('className passed in goog.getCssName must not start with ".". You passed: '+a);var c=function(e){return goog.cssNameMapping_[e]||e},d=function(e){e=e.split("-");for(var f=[],g=0;g<e.length;g++)f.push(c(e[g]));return f.join("-")};d=goog.cssNameMapping_?"BY_WHOLE"==goog.cssNameMappingStyle_?c:d:function(e){return e};a=b?a+"-"+d(b):d(a);return goog.global.CLOSURE_CSS_NAME_MAP_FN?goog.global.CLOSURE_CSS_NAME_MAP_FN(a):a};
+goog.setCssNameMapping=function(a,b){goog.cssNameMapping_=a;goog.cssNameMappingStyle_=b};!COMPILED&&goog.global.CLOSURE_CSS_NAME_MAPPING&&(goog.cssNameMapping_=goog.global.CLOSURE_CSS_NAME_MAPPING);goog.getMsg=function(a,b,c){c&&c.html&&(a=a.replace(/</g,"&lt;"));b&&(a=a.replace(/\{\$([^}]+)}/g,function(d,e){return null!=b&&e in b?b[e]:d}));return a};goog.getMsgWithFallback=function(a,b){return a};goog.exportSymbol=function(a,b,c){goog.exportPath_(a,b,c)};
+goog.exportProperty=function(a,b,c){a[b]=c};goog.inherits=function(a,b){function c(){}c.prototype=b.prototype;a.superClass_=b.prototype;a.prototype=new c;a.prototype.constructor=a;a.base=function(d,e,f){for(var g=Array(arguments.length-2),h=2;h<arguments.length;h++)g[h-2]=arguments[h];return b.prototype[e].apply(d,g)}};goog.scope=function(a){if(goog.isInModuleLoader_())throw Error("goog.scope is not supported within a module.");a.call(goog.global)};COMPILED||(goog.global.COMPILED=COMPILED);
+goog.defineClass=function(a,b){var c=b.constructor,d=b.statics;c&&c!=Object.prototype.constructor||(c=function(){throw Error("cannot instantiate an interface (no constructor defined).");});c=goog.defineClass.createSealingConstructor_(c,a);a&&goog.inherits(c,a);delete b.constructor;delete b.statics;goog.defineClass.applyProperties_(c.prototype,b);null!=d&&(d instanceof Function?d(c):goog.defineClass.applyProperties_(c,d));return c};goog.defineClass.SEAL_CLASS_INSTANCES=goog.DEBUG;
+goog.defineClass.createSealingConstructor_=function(a,b){return goog.defineClass.SEAL_CLASS_INSTANCES?function(){var c=a.apply(this,arguments)||this;c[goog.UID_PROPERTY_]=c[goog.UID_PROPERTY_];return c}:a};goog.defineClass.OBJECT_PROTOTYPE_FIELDS_="constructor hasOwnProperty isPrototypeOf propertyIsEnumerable toLocaleString toString valueOf".split(" ");
+goog.defineClass.applyProperties_=function(a,b){for(var c in b)Object.prototype.hasOwnProperty.call(b,c)&&(a[c]=b[c]);for(var d=0;d<goog.defineClass.OBJECT_PROTOTYPE_FIELDS_.length;d++)c=goog.defineClass.OBJECT_PROTOTYPE_FIELDS_[d],Object.prototype.hasOwnProperty.call(b,c)&&(a[c]=b[c])};
+!COMPILED&&goog.DEPENDENCIES_ENABLED&&(goog.inHtmlDocument_=function(){var a=goog.global.document;return null!=a&&"write"in a},goog.isDocumentLoading_=function(){var a=goog.global.document;return a.attachEvent?"complete"!=a.readyState:"loading"==a.readyState},goog.findBasePath_=function(){if(void 0!=goog.global.CLOSURE_BASE_PATH&&"string"===typeof goog.global.CLOSURE_BASE_PATH)goog.basePath=goog.global.CLOSURE_BASE_PATH;else if(goog.inHtmlDocument_()){var a=goog.global.document,b=a.currentScript;
+a=b?[b]:a.getElementsByTagName("SCRIPT");for(b=a.length-1;0<=b;--b){var c=a[b].src,d=c.lastIndexOf("?");d=-1==d?c.length:d;if("base.js"==c.substr(d-7,7)){goog.basePath=c.substr(0,d-7);break}}}},goog.findBasePath_(),goog.Transpiler=function(){this.requiresTranspilation_=null;this.transpilationTarget_=goog.TRANSPILE_TO_LANGUAGE},goog.Transpiler.prototype.createRequiresTranspilation_=function(){function a(g,h){e?d[g]=!0:h()?(c=g,d[g]=!1):e=d[g]=!0}function b(g){try{return!!eval(g)}catch(h){return!1}}
+var c="es3",d={es3:!1},e=!1,f=goog.global.navigator&&goog.global.navigator.userAgent?goog.global.navigator.userAgent:"";a("es5",function(){return b("[1,].length==1")});a("es6",function(){return f.match(/Edge\/(\d+)(\.\d)*/i)?!1:b('(()=>{"use strict";class X{constructor(){if(new.target!=String)throw 1;this.x=42}}let q=Reflect.construct(X,[],String);if(q.x!=42||!(q instanceof String))throw 1;for(const a of[2,3]){if(a==2)continue;function f(z={a}){let a=0;return z.a}{function f(){return 0;}}return f()==3}})()')});
+a("es7",function(){return b("2 ** 2 == 4")});a("es8",function(){return b("async () => 1, true")});a("es9",function(){return b("({...rest} = {}), true")});a("es_next",function(){return!1});return{target:c,map:d}},goog.Transpiler.prototype.needsTranspile=function(a,b){if("always"==goog.TRANSPILE)return!0;if("never"==goog.TRANSPILE)return!1;if(!this.requiresTranspilation_){var c=this.createRequiresTranspilation_();this.requiresTranspilation_=c.map;this.transpilationTarget_=this.transpilationTarget_||
+c.target}if(a in this.requiresTranspilation_)return this.requiresTranspilation_[a]?!0:!goog.inHtmlDocument_()||"es6"!=b||"noModule"in goog.global.document.createElement("script")?!1:!0;throw Error("Unknown language mode: "+a);},goog.Transpiler.prototype.transpile=function(a,b){return goog.transpile_(a,b,this.transpilationTarget_)},goog.transpiler_=new goog.Transpiler,goog.protectScriptTag_=function(a){return a.replace(/<\/(SCRIPT)/ig,"\\x3c/$1")},goog.DebugLoader_=function(){this.dependencies_={};
+this.idToPath_={};this.written_={};this.loadingDeps_=[];this.depsToLoad_=[];this.paused_=!1;this.factory_=new goog.DependencyFactory(goog.transpiler_);this.deferredCallbacks_={};this.deferredQueue_=[]},goog.DebugLoader_.prototype.bootstrap=function(a,b){function c(){d&&(goog.global.setTimeout(d,0),d=null)}var d=b;if(a.length){b=[];for(var e=0;e<a.length;e++){var f=this.getPathFromDeps_(a[e]);if(!f)throw Error("Unregonized namespace: "+a[e]);b.push(this.dependencies_[f])}f=goog.require;var g=0;for(e=
+0;e<a.length;e++)f(a[e]),b[e].onLoad(function(){++g==a.length&&c()})}else c()},goog.DebugLoader_.prototype.loadClosureDeps=function(){this.depsToLoad_.push(this.factory_.createDependency(goog.normalizePath_(goog.basePath+"deps.js"),"deps.js",[],[],{},!1));this.loadDeps_()},goog.DebugLoader_.prototype.requested=function(a,b){(a=this.getPathFromDeps_(a))&&(b||this.areDepsLoaded_(this.dependencies_[a].requires))&&(b=this.deferredCallbacks_[a])&&(delete this.deferredCallbacks_[a],b())},goog.DebugLoader_.prototype.setDependencyFactory=
+function(a){this.factory_=a},goog.DebugLoader_.prototype.load_=function(a){if(this.getPathFromDeps_(a)){var b=this,c=[],d=function(e){var f=b.getPathFromDeps_(e);if(!f)throw Error("Bad dependency path or symbol: "+e);if(!b.written_[f]){b.written_[f]=!0;e=b.dependencies_[f];for(f=0;f<e.requires.length;f++)goog.isProvided_(e.requires[f])||d(e.requires[f]);c.push(e)}};d(a);a=!!this.depsToLoad_.length;this.depsToLoad_=this.depsToLoad_.concat(c);this.paused_||a||this.loadDeps_()}else throw a="goog.require could not find: "+
+a,goog.logToConsole_(a),Error(a);},goog.DebugLoader_.prototype.loadDeps_=function(){for(var a=this,b=this.paused_;this.depsToLoad_.length&&!b;)(function(){var c=!1,d=a.depsToLoad_.shift(),e=!1;a.loading_(d);var f={pause:function(){if(c)throw Error("Cannot call pause after the call to load.");b=!0},resume:function(){c?a.resume_():b=!1},loaded:function(){if(e)throw Error("Double call to loaded.");e=!0;a.loaded_(d)},pending:function(){for(var g=[],h=0;h<a.loadingDeps_.length;h++)g.push(a.loadingDeps_[h]);
+return g},setModuleState:function(g){goog.moduleLoaderState_={type:g,moduleName:"",declareLegacyNamespace:!1}},registerEs6ModuleExports:function(g,h,k){k&&(goog.loadedModules_[k]={exports:h,type:goog.ModuleType.ES6,moduleId:k||""})},registerGoogModuleExports:function(g,h){goog.loadedModules_[g]={exports:h,type:goog.ModuleType.GOOG,moduleId:g}},clearModuleState:function(){goog.moduleLoaderState_=null},defer:function(g){if(c)throw Error("Cannot register with defer after the call to load.");a.defer_(d,
+g)},areDepsLoaded:function(){return a.areDepsLoaded_(d.requires)}};try{d.load(f)}finally{c=!0}})();b&&this.pause_()},goog.DebugLoader_.prototype.pause_=function(){this.paused_=!0},goog.DebugLoader_.prototype.resume_=function(){this.paused_&&(this.paused_=!1,this.loadDeps_())},goog.DebugLoader_.prototype.loading_=function(a){this.loadingDeps_.push(a)},goog.DebugLoader_.prototype.loaded_=function(a){for(var b=0;b<this.loadingDeps_.length;b++)if(this.loadingDeps_[b]==a){this.loadingDeps_.splice(b,1);
+break}for(b=0;b<this.deferredQueue_.length;b++)if(this.deferredQueue_[b]==a.path){this.deferredQueue_.splice(b,1);break}if(this.loadingDeps_.length==this.deferredQueue_.length&&!this.depsToLoad_.length)for(;this.deferredQueue_.length;)this.requested(this.deferredQueue_.shift(),!0);a.loaded()},goog.DebugLoader_.prototype.areDepsLoaded_=function(a){for(var b=0;b<a.length;b++){var c=this.getPathFromDeps_(a[b]);if(!c||!(c in this.deferredCallbacks_||goog.isProvided_(a[b])))return!1}return!0},goog.DebugLoader_.prototype.getPathFromDeps_=
+function(a){return a in this.idToPath_?this.idToPath_[a]:a in this.dependencies_?a:null},goog.DebugLoader_.prototype.defer_=function(a,b){this.deferredCallbacks_[a.path]=b;this.deferredQueue_.push(a.path)},goog.LoadController=function(){},goog.LoadController.prototype.pause=function(){},goog.LoadController.prototype.resume=function(){},goog.LoadController.prototype.loaded=function(){},goog.LoadController.prototype.pending=function(){},goog.LoadController.prototype.registerEs6ModuleExports=function(a,
+b,c){},goog.LoadController.prototype.setModuleState=function(a){},goog.LoadController.prototype.clearModuleState=function(){},goog.LoadController.prototype.defer=function(a){},goog.LoadController.prototype.areDepsLoaded=function(){},goog.Dependency=function(a,b,c,d,e){this.path=a;this.relativePath=b;this.provides=c;this.requires=d;this.loadFlags=e;this.loaded_=!1;this.loadCallbacks_=[]},goog.Dependency.prototype.getPathName=function(){var a=this.path,b=a.indexOf("://");0<=b&&(a=a.substring(b+3),b=
+a.indexOf("/"),0<=b&&(a=a.substring(b+1)));return a},goog.Dependency.prototype.onLoad=function(a){this.loaded_?a():this.loadCallbacks_.push(a)},goog.Dependency.prototype.loaded=function(){this.loaded_=!0;var a=this.loadCallbacks_;this.loadCallbacks_=[];for(var b=0;b<a.length;b++)a[b]()},goog.Dependency.defer_=!1,goog.Dependency.callbackMap_={},goog.Dependency.registerCallback_=function(a){var b=Math.random().toString(32);goog.Dependency.callbackMap_[b]=a;return b},goog.Dependency.unregisterCallback_=
+function(a){delete goog.Dependency.callbackMap_[a]},goog.Dependency.callback_=function(a,b){if(a in goog.Dependency.callbackMap_){for(var c=goog.Dependency.callbackMap_[a],d=[],e=1;e<arguments.length;e++)d.push(arguments[e]);c.apply(void 0,d)}else throw Error("Callback key "+a+" does not exist (was base.js loaded more than once?).");},goog.Dependency.prototype.load=function(a){if(goog.global.CLOSURE_IMPORT_SCRIPT)goog.global.CLOSURE_IMPORT_SCRIPT(this.path)?a.loaded():a.pause();else if(goog.inHtmlDocument_()){var b=
+goog.global.document;if("complete"==b.readyState&&!goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING){if(/\bdeps.js$/.test(this.path)){a.loaded();return}throw Error('Cannot write "'+this.path+'" after document load');}if(!goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING&&goog.isDocumentLoading_()){var c=goog.Dependency.registerCallback_(function(f){goog.DebugLoader_.IS_OLD_IE_&&"complete"!=f.readyState||(goog.Dependency.unregisterCallback_(c),a.loaded())}),d=!goog.DebugLoader_.IS_OLD_IE_&&goog.getScriptNonce()?
+' nonce="'+goog.getScriptNonce()+'"':"";d='<script src="'+this.path+'" '+(goog.DebugLoader_.IS_OLD_IE_?"onreadystatechange":"onload")+"=\"goog.Dependency.callback_('"+c+'\', this)" type="text/javascript" '+(goog.Dependency.defer_?"defer":"")+d+">\x3c/script>";b.write(goog.TRUSTED_TYPES_POLICY_?goog.TRUSTED_TYPES_POLICY_.createHTML(d):d)}else{var e=b.createElement("script");e.defer=goog.Dependency.defer_;e.async=!1;e.type="text/javascript";(d=goog.getScriptNonce())&&e.setAttribute("nonce",d);goog.DebugLoader_.IS_OLD_IE_?
+(a.pause(),e.onreadystatechange=function(){if("loaded"==e.readyState||"complete"==e.readyState)a.loaded(),a.resume()}):e.onload=function(){e.onload=null;a.loaded()};e.src=goog.TRUSTED_TYPES_POLICY_?goog.TRUSTED_TYPES_POLICY_.createScriptURL(this.path):this.path;b.head.appendChild(e)}}else goog.logToConsole_("Cannot use default debug loader outside of HTML documents."),"deps.js"==this.relativePath?(goog.logToConsole_("Consider setting CLOSURE_IMPORT_SCRIPT before loading base.js, or setting CLOSURE_NO_DEPS to true."),
+a.loaded()):a.pause()},goog.Es6ModuleDependency=function(a,b,c,d,e){goog.Dependency.call(this,a,b,c,d,e)},goog.inherits(goog.Es6ModuleDependency,goog.Dependency),goog.Es6ModuleDependency.prototype.load=function(a){function b(l,m){l=m?'<script type="module" crossorigin>'+m+"\x3c/script>":'<script type="module" crossorigin src="'+l+'">\x3c/script>';d.write(goog.TRUSTED_TYPES_POLICY_?goog.TRUSTED_TYPES_POLICY_.createHTML(l):l)}function c(l,m){var n=d.createElement("script");n.defer=!0;n.async=!1;n.type=
+"module";n.setAttribute("crossorigin",!0);var p=goog.getScriptNonce();p&&n.setAttribute("nonce",p);m?n.textContent=goog.TRUSTED_TYPES_POLICY_?goog.TRUSTED_TYPES_POLICY_.createScript(m):m:n.src=goog.TRUSTED_TYPES_POLICY_?goog.TRUSTED_TYPES_POLICY_.createScriptURL(l):l;d.head.appendChild(n)}if(goog.global.CLOSURE_IMPORT_SCRIPT)goog.global.CLOSURE_IMPORT_SCRIPT(this.path)?a.loaded():a.pause();else if(goog.inHtmlDocument_()){var d=goog.global.document,e=this;if(goog.isDocumentLoading_()){var f=b;goog.Dependency.defer_=
+!0}else f=c;var g=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(g);a.setModuleState(goog.ModuleType.ES6)});f(void 0,'goog.Dependency.callback_("'+g+'")');f(this.path,void 0);var h=goog.Dependency.registerCallback_(function(l){goog.Dependency.unregisterCallback_(h);a.registerEs6ModuleExports(e.path,l,goog.moduleLoaderState_.moduleName)});f(void 0,'import * as m from "'+this.path+'"; goog.Dependency.callback_("'+h+'", m)');var k=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(k);
+a.clearModuleState();a.loaded()});f(void 0,'goog.Dependency.callback_("'+k+'")')}else goog.logToConsole_("Cannot use default debug loader outside of HTML documents."),a.pause()},goog.TransformedDependency=function(a,b,c,d,e){goog.Dependency.call(this,a,b,c,d,e);this.contents_=null;this.lazyFetch_=!goog.inHtmlDocument_()||!("noModule"in goog.global.document.createElement("script"))},goog.inherits(goog.TransformedDependency,goog.Dependency),goog.TransformedDependency.prototype.load=function(a){function b(){e.contents_=
+goog.loadFileSync_(e.path);e.contents_&&(e.contents_=e.transform(e.contents_),e.contents_&&(e.contents_+="\n//# sourceURL="+e.path))}function c(){e.lazyFetch_&&b();if(e.contents_){f&&a.setModuleState(goog.ModuleType.ES6);try{var m=e.contents_;e.contents_=null;goog.globalEval(m);if(f)var n=goog.moduleLoaderState_.moduleName}finally{f&&a.clearModuleState()}f&&goog.global.$jscomp.require.ensure([e.getPathName()],function(){a.registerEs6ModuleExports(e.path,goog.global.$jscomp.require(e.getPathName()),
+n)});a.loaded()}}function d(){var m=goog.global.document,n=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(n);c()}),p='<script type="text/javascript">'+goog.protectScriptTag_('goog.Dependency.callback_("'+n+'");')+"\x3c/script>";m.write(goog.TRUSTED_TYPES_POLICY_?goog.TRUSTED_TYPES_POLICY_.createHTML(p):p)}var e=this;if(goog.global.CLOSURE_IMPORT_SCRIPT)b(),this.contents_&&goog.global.CLOSURE_IMPORT_SCRIPT("",this.contents_)?(this.contents_=null,a.loaded()):a.pause();
+else{var f=this.loadFlags.module==goog.ModuleType.ES6;this.lazyFetch_||b();var g=1<a.pending().length,h=g&&goog.DebugLoader_.IS_OLD_IE_;g=goog.Dependency.defer_&&(g||goog.isDocumentLoading_());if(h||g)a.defer(function(){c()});else{var k=goog.global.document;h=goog.inHtmlDocument_()&&"ActiveXObject"in goog.global;if(f&&goog.inHtmlDocument_()&&goog.isDocumentLoading_()&&!h){goog.Dependency.defer_=!0;a.pause();var l=k.onreadystatechange;k.onreadystatechange=function(){"interactive"==k.readyState&&(k.onreadystatechange=
+l,c(),a.resume());goog.isFunction(l)&&l.apply(void 0,arguments)}}else!goog.DebugLoader_.IS_OLD_IE_&&goog.inHtmlDocument_()&&goog.isDocumentLoading_()?d():c()}}},goog.TransformedDependency.prototype.transform=function(a){},goog.TranspiledDependency=function(a,b,c,d,e,f){goog.TransformedDependency.call(this,a,b,c,d,e);this.transpiler=f},goog.inherits(goog.TranspiledDependency,goog.TransformedDependency),goog.TranspiledDependency.prototype.transform=function(a){return this.transpiler.transpile(a,this.getPathName())},
+goog.PreTranspiledEs6ModuleDependency=function(a,b,c,d,e){goog.TransformedDependency.call(this,a,b,c,d,e)},goog.inherits(goog.PreTranspiledEs6ModuleDependency,goog.TransformedDependency),goog.PreTranspiledEs6ModuleDependency.prototype.transform=function(a){return a},goog.GoogModuleDependency=function(a,b,c,d,e,f,g){goog.TransformedDependency.call(this,a,b,c,d,e);this.needsTranspile_=f;this.transpiler_=g},goog.inherits(goog.GoogModuleDependency,goog.TransformedDependency),goog.GoogModuleDependency.prototype.transform=
+function(a){this.needsTranspile_&&(a=this.transpiler_.transpile(a,this.getPathName()));return goog.LOAD_MODULE_USING_EVAL&&void 0!==goog.global.JSON?"goog.loadModule("+goog.global.JSON.stringify(a+"\n//# sourceURL="+this.path+"\n")+");":'goog.loadModule(function(exports) {"use strict";'+a+"\n;return exports});\n//# sourceURL="+this.path+"\n"},goog.DebugLoader_.IS_OLD_IE_=!(goog.global.atob||!goog.global.document||!goog.global.document.all),goog.DebugLoader_.prototype.addDependency=function(a,b,c,
+d){b=b||[];a=a.replace(/\\/g,"/");var e=goog.normalizePath_(goog.basePath+a);d&&"boolean"!==typeof d||(d=d?{module:goog.ModuleType.GOOG}:{});c=this.factory_.createDependency(e,a,b,c,d,goog.transpiler_.needsTranspile(d.lang||"es3",d.module));this.dependencies_[e]=c;for(c=0;c<b.length;c++)this.idToPath_[b[c]]=e;this.idToPath_[a]=e},goog.DependencyFactory=function(a){this.transpiler=a},goog.DependencyFactory.prototype.createDependency=function(a,b,c,d,e,f){return e.module==goog.ModuleType.GOOG?new goog.GoogModuleDependency(a,
+b,c,d,e,f,this.transpiler):f?new goog.TranspiledDependency(a,b,c,d,e,this.transpiler):e.module==goog.ModuleType.ES6?"never"==goog.TRANSPILE&&goog.ASSUME_ES_MODULES_TRANSPILED?new goog.PreTranspiledEs6ModuleDependency(a,b,c,d,e):new goog.Es6ModuleDependency(a,b,c,d,e):new goog.Dependency(a,b,c,d,e)},goog.debugLoader_=new goog.DebugLoader_,goog.loadClosureDeps=function(){goog.debugLoader_.loadClosureDeps()},goog.setDependencyFactory=function(a){goog.debugLoader_.setDependencyFactory(a)},goog.TRUSTED_TYPES_POLICY_=
+goog.TRUSTED_TYPES_POLICY_NAME?goog.createTrustedTypesPolicy(goog.TRUSTED_TYPES_POLICY_NAME+"#base"):null,goog.global.CLOSURE_NO_DEPS||goog.debugLoader_.loadClosureDeps(),goog.bootstrap=function(a,b){goog.debugLoader_.bootstrap(a,b)});goog.TRUSTED_TYPES_POLICY_NAME="";goog.identity_=function(a){return a};goog.createTrustedTypesPolicy=function(a){var b=null,c=goog.global.trustedTypes;if(!c||!c.createPolicy)return b;try{b=c.createPolicy(a,{createHTML:goog.identity_,createScript:goog.identity_,createScriptURL:goog.identity_})}catch(d){goog.logToConsole_(d.message)}return b};var sre={Variables:function(){}};sre.Variables.VERSION="3.1.0";sre.Variables.LOCALES=["de","en","es","fr","nemeth"];sre.Variables.mathjaxVersion="3.0.0";sre.Variables.url="https://cdn.jsdelivr.net/npm/speech-rule-engine@"+sre.Variables.VERSION+"/lib/mathmaps";sre.Variables.WGXpath="https://cdn.jsdelivr.net/npm/wicked-good-xpath@1.3.0/dist/wgxpath.install.js";sre.SystemExternal=function(){};sre.SystemExternal.require=function(a){return"undefined"!==typeof process&&"undefined"!==typeof require?require(a):null};sre.SystemExternal.documentSupported=function(){return"undefined"!=typeof document};sre.SystemExternal.process=sre.SystemExternal.require("process");sre.SystemExternal.xmldom=sre.SystemExternal.documentSupported()?window:sre.SystemExternal.require("xmldom-sre");
+sre.SystemExternal.document=sre.SystemExternal.documentSupported()?document:(new sre.SystemExternal.xmldom.DOMImplementation).createDocument("","",0);sre.SystemExternal.xpath=sre.SystemExternal.documentSupported()?document:function(){var a={document:{},XPathResult:{}};sre.SystemExternal.require("wicked-good-xpath").install(a);a.document.XPathResult=a.XPathResult;return a.document}();sre.SystemExternal.commander=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("commander");
+sre.SystemExternal.fs=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("fs");sre.SystemExternal.url=sre.Variables.url;sre.SystemExternal.jsonPath=function(){return(sre.SystemExternal.process&&"undefined"!==typeof global?sre.SystemExternal.process.env.SRE_JSON_PATH||global.SRE_JSON_PATH||sre.SystemExternal.process.cwd():sre.SystemExternal.url)+"/"}();sre.SystemExternal.WGXpath=sre.Variables.WGXpath;sre.SystemExternal.wgxpath=null;sre.BrowserUtil={};sre.BrowserUtil.detectIE=function(){if(!("undefined"!==typeof window&&"ActiveXObject"in window&&"clipboardData"in window))return!1;sre.BrowserUtil.loadMapsForIE_();sre.BrowserUtil.loadWGXpath_();return!0};sre.BrowserUtil.detectEdge=function(){if(!("undefined"!==typeof window&&"MSGestureEvent"in window&&"chrome"in window&&null==window.chrome.loadTimes))return!1;document.evaluate=null;sre.BrowserUtil.loadWGXpath_(!0);return!0};sre.BrowserUtil.mapsForIE=null;
 sre.BrowserUtil.loadWGXpath_=function(a){sre.BrowserUtil.loadScript(sre.SystemExternal.WGXpath);sre.BrowserUtil.installWGXpath_(a)};
 sre.BrowserUtil.installWGXpath_=function(a,b){var c=b||1;"undefined"===typeof wgxpath&&10>c?setTimeout(function(){sre.BrowserUtil.installWGXpath_(a,c++)},200):10<=c||(sre.SystemExternal.wgxpath=wgxpath,a?sre.SystemExternal.wgxpath.install({document:document}):sre.SystemExternal.wgxpath.install(),sre.XpathUtil.xpathEvaluate=document.evaluate,sre.XpathUtil.xpathResult=XPathResult,sre.XpathUtil.createNSResolver=document.createNSResolver)};
 sre.BrowserUtil.loadMapsForIE_=function(){sre.BrowserUtil.loadScript(sre.SystemExternal.jsonPath+"mathmaps_ie.js")};sre.BrowserUtil.loadScript=function(a){var b=sre.SystemExternal.document.createElement("script");b.type="text/javascript";b.src=a;sre.SystemExternal.document.head?sre.SystemExternal.document.head.appendChild(b):sre.SystemExternal.document.body.appendChild(b)};sre.DynamicProperties=function(a,b){this.properties_=a;this.order_=b||Object.keys(a)};sre.DynamicProperties.prototype.getProperties=function(){return this.properties_};sre.DynamicProperties.prototype.getOrder=function(){return this.order_};sre.DynamicProperties.prototype.getAxes=function(){return this.order_};sre.DynamicProperties.prototype.getProperty=function(a){return this.properties_[a]};sre.DynamicProperties.prototype.updateProperties=function(a){this.properties_=a};
-sre.DynamicProperties.prototype.allProperties=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(this.getProperty(b))},this));return a};sre.DynamicProperties.prototype.toString=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(b+": "+this.getProperty(b).toString())},this));return a.join("\n")};
+sre.DynamicProperties.prototype.allProperties=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(this.getProperty(b).slice())},this));return a};sre.DynamicProperties.prototype.toString=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(b+": "+this.getProperty(b).toString())},this));return a.join("\n")};
 sre.DynamicCstr=function(a,b){this.components_=a;var c={},d;for(d in a){var e=a[d];c[d]=[e];sre.DynamicCstr.Values_.getInstance().add(d,e)}sre.DynamicProperties.call(this,c,b)};goog.inherits(sre.DynamicCstr,sre.DynamicProperties);sre.DynamicCstr.prototype.getComponents=function(){return this.components_};sre.DynamicCstr.prototype.getValue=function(a){return this.components_[a]};
-sre.DynamicCstr.prototype.getValues=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(this.getValue(b))},this));return a};sre.DynamicCstr.prototype.toString=function(){return this.getValues().join(".")};sre.DynamicCstr.prototype.equal=function(a){var b=a.getAxes();if(this.order_.length!==b.length)return!1;for(var c=0,d;d=b[c];c++){var e=this.getValue(d);if(!e||a.getValue(d)!==e)return!1}return!0};
-sre.DynamicCstr.Axis={DOMAIN:"domain",STYLE:"style",LOCALE:"locale",TOPIC:"topic",MODALITY:"modality"};sre.DynamicCstr.Values_=function(){this.axisToValues=sre.DynamicCstr.Values_.makeAxisValueObject_()};goog.addSingletonGetter(sre.DynamicCstr.Values_);sre.DynamicCstr.Values_.prototype.add=function(a,b){this.axisToValues[a][b]=!0};sre.DynamicCstr.Values_.prototype.get=function(){var a={},b=sre.DynamicCstr.Values_.getInstance().axisToValues,c;for(c in b)a[c]=Object.keys(b[c]);return a};
-sre.DynamicCstr.Values_.makeAxisValueObject_=function(){var a={},b;for(b in sre.DynamicCstr.Axis)a[sre.DynamicCstr.Axis[b]]={};return a};sre.DynamicCstr.getAxisValues=function(){return sre.DynamicCstr.Values_.getInstance().get()};sre.DynamicCstr.DEFAULT_ORDER=[sre.DynamicCstr.Axis.LOCALE,sre.DynamicCstr.Axis.DOMAIN,sre.DynamicCstr.Axis.STYLE,sre.DynamicCstr.Axis.TOPIC,sre.DynamicCstr.Axis.MODALITY];sre.DynamicCstr.DEFAULT_VALUE="default";sre.DynamicCstr.DEFAULT_VALUES={};
-sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]="en";sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.TOPIC]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.Parser=function(a){this.order_=a};
-sre.DynamicCstr.Parser.prototype.parse=function(a){a=a.split(".");var b={};if(a.length>this.order_.length)throw Error("Invalid dynamic constraint: "+b);for(var c=0,d;d=this.order_[c],a.length;c++){var e=a.shift();b[d]=e}return new sre.DynamicCstr(b,this.order_.slice(0,c))};sre.DynamicCstr.Comparator=function(){};sre.DynamicCstr.Comparator.prototype.getReference=function(){};sre.DynamicCstr.Comparator.prototype.setReference=function(a,b){};sre.DynamicCstr.Comparator.prototype.match=function(a){};
-sre.DynamicCstr.Comparator.prototype.compare=function(a,b){};sre.DynamicCstr.DefaultComparator=function(a,b){this.reference_=a;this.fallback_=b||new sre.DynamicProperties(a.getProperties(),a.getOrder());this.order_=this.reference_.getOrder()};sre.DynamicCstr.DefaultComparator.prototype.getReference=function(){return this.reference_};
-sre.DynamicCstr.DefaultComparator.prototype.setReference=function(a,b){this.reference_=a;this.fallback_=b||new sre.DynamicProperties(a.getProperties(),a.getOrder());this.order_=this.reference_.getOrder()};sre.DynamicCstr.DefaultComparator.prototype.match=function(a){var b=a.getAxes();return b.length===this.reference_.getAxes().length&&b.every(goog.bind(function(b){var c=a.getValue(b);return c===this.reference_.getValue(b)||-1!==this.fallback_.getProperty(b).indexOf(c)},this))};
-sre.DynamicCstr.DefaultComparator.prototype.compare=function(a,b){for(var c=!1,d=0,e;e=this.order_[d];d++){var f=a.getValue(e),g=b.getValue(e);if(!c){var h=this.reference_.getValue(e);if(h===f&&h!==g)return-1;if(h===g&&h!==f)return 1;if(h===f&&h===g)continue;h!==f&&h!==g&&(c=!0)}e=this.fallback_.getProperty(e);f=e.indexOf(f);g=e.indexOf(g);if(f<g)return-1;if(g<f)return 1}return 0};
+sre.DynamicCstr.prototype.getValues=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(this.getValue(b))},this));return a};sre.DynamicCstr.prototype.allProperties=function(){for(var a=sre.DynamicCstr.superClass_.allProperties.call(this),b=0,c,d;c=a[b],d=this.order_[b];b++)d=this.getValue(d),-1===c.indexOf(d)&&c.unshift(d);return a};sre.DynamicCstr.prototype.toString=function(){return this.getValues().join(".")};
+sre.DynamicCstr.prototype.equal=function(a){var b=a.getAxes();if(this.order_.length!==b.length)return!1;for(var c=0,d;d=b[c];c++){var e=this.getValue(d);if(!e||a.getValue(d)!==e)return!1}return!0};sre.DynamicCstr.Axis={DOMAIN:"domain",STYLE:"style",LOCALE:"locale",TOPIC:"topic",MODALITY:"modality"};sre.DynamicCstr.Values_=function(){this.axisToValues=sre.DynamicCstr.Values_.makeAxisValueObject_()};goog.addSingletonGetter(sre.DynamicCstr.Values_);
+sre.DynamicCstr.Values_.prototype.add=function(a,b){this.axisToValues[a][b]=!0};sre.DynamicCstr.Values_.prototype.get=function(){var a={},b=sre.DynamicCstr.Values_.getInstance().axisToValues,c;for(c in b)a[c]=Object.keys(b[c]);return a};sre.DynamicCstr.Values_.makeAxisValueObject_=function(){var a={},b;for(b in sre.DynamicCstr.Axis)a[sre.DynamicCstr.Axis[b]]={};return a};sre.DynamicCstr.getAxisValues=function(){return sre.DynamicCstr.Values_.getInstance().get()};
+sre.DynamicCstr.DEFAULT_ORDER=[sre.DynamicCstr.Axis.LOCALE,sre.DynamicCstr.Axis.MODALITY,sre.DynamicCstr.Axis.DOMAIN,sre.DynamicCstr.Axis.STYLE,sre.DynamicCstr.Axis.TOPIC];sre.DynamicCstr.DEFAULT_VALUE="default";sre.DynamicCstr.DEFAULT_VALUES={};sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]="en";sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE]=sre.DynamicCstr.DEFAULT_VALUE;
+sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.TOPIC]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]="speech";sre.DynamicCstr.Parser=function(a){this.order_=a};sre.DynamicCstr.Parser.prototype.parse=function(a){a=a.split(".");var b={};if(a.length>this.order_.length)throw Error("Invalid dynamic constraint: "+b);for(var c=0,d;d=this.order_[c],a.length;c++){var e=a.shift();b[d]=e}return new sre.DynamicCstr(b,this.order_.slice(0,c))};
+sre.DynamicCstr.Comparator=function(){};sre.DynamicCstr.Comparator.prototype.getReference=function(){};sre.DynamicCstr.Comparator.prototype.setReference=function(a,b){};sre.DynamicCstr.Comparator.prototype.match=function(a){};sre.DynamicCstr.Comparator.prototype.compare=function(a,b){};sre.DynamicCstr.DefaultComparator=function(a,b){this.reference_=a;this.fallback_=b||new sre.DynamicProperties(a.getProperties(),a.getOrder());this.order_=this.reference_.getOrder()};
+sre.DynamicCstr.DefaultComparator.prototype.getReference=function(){return this.reference_};sre.DynamicCstr.DefaultComparator.prototype.setReference=function(a,b){this.reference_=a;this.fallback_=b||new sre.DynamicProperties(a.getProperties(),a.getOrder());this.order_=this.reference_.getOrder()};
+sre.DynamicCstr.DefaultComparator.prototype.match=function(a){var b=a.getAxes();return b.length===this.reference_.getAxes().length&&b.every(goog.bind(function(c){var d=a.getValue(c);return d===this.reference_.getValue(c)||-1!==this.fallback_.getProperty(c).indexOf(d)},this))};
+sre.DynamicCstr.DefaultComparator.prototype.compare=function(a,b){for(var c=!1,d=0,e;e=this.order_[d];d++){var f=a.getValue(e),g=b.getValue(e);if(!c){var h=this.reference_.getValue(e);if(h===f&&h!==g)return-1;if(h===g&&h!==f)return 1;if(h===f&&h===g)continue;h!==f&&h!==g&&(c=!0)}e=this.fallback_.getProperty(e);f=e.indexOf(f);g=e.indexOf(g);if(f<g)return-1;if(g<f)return 1}return 0};sre.DynamicCstr.DefaultComparator.prototype.toString=function(){return this.reference_.toString()+"\n"+this.fallback_.toString()};
 sre.DynamicProperties.create=function(a){for(var b=sre.DynamicCstr.DEFAULT_ORDER,c={},d=Array.prototype.slice.call(arguments,0),e=0,f=d.length,g=b.length;e<f&&e<g;e++)c[b[e]]=d[e];return new sre.DynamicProperties(c)};sre.DynamicCstr.create=function(a){for(var b=sre.DynamicCstr.DEFAULT_ORDER,c={},d=Array.prototype.slice.call(arguments,0),e=0,f=d.length,g=b.length;e<f&&e<g;e++)c[b[e]]=d[e];return new sre.DynamicCstr(c)};
-sre.DynamicCstr.defaultCstr=function(){return sre.DynamicCstr.create.apply(null,sre.DynamicCstr.DEFAULT_ORDER.map(function(a){return sre.DynamicCstr.DEFAULT_VALUES[a]}))};sre.DynamicCstr.validOrder=function(a){var b=sre.DynamicCstr.DEFAULT_ORDER.slice();return a.every(function(a){a=b.indexOf(a);return-1!==a&&b.splice(a,1)})};sre.Engine=function(){this.alternativeHost=this.activeHost=null;this.evaluator=sre.Engine.defaultEvaluator;this.dynamicCstr=sre.DynamicCstr.defaultCstr();this.comparator=null;this.domain=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN];this.style="short";this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE];this.walker="Syntax";this.semantics=!0;this.mode=sre.Engine.Mode.SYNC;this.speech=sre.Engine.Speech.SHALLOW;this.structure=!1;this.ruleSets=[];this.cache=!0;this.markup=
-sre.Engine.Markup.NONE;this.isEdge=this.isIE=this.strict=!1;this.setupTests_=[]};goog.addSingletonGetter(sre.Engine);sre.Engine.personalityProps={PITCH:"pitch",RATE:"rate",VOLUME:"volume",PAUSE:"pause"};sre.Engine.Mode={SYNC:"sync",ASYNC:"async",HTTP:"http"};sre.Engine.Speech={NONE:"none",SHALLOW:"shallow",DEEP:"deep"};sre.Engine.Markup={NONE:"none",SSML:"ssml",ACSS:"acss",SABLE:"sable",VOICEXML:"voicexml"};sre.Engine.registerTest=function(a){sre.Engine.getInstance().setupTests_.push(a)};
-sre.Engine.isReady=function(){return sre.Engine.getInstance().setupTests_.every(function(a){return a()})};sre.Engine.prototype.setupBrowsers=function(){this.isIE=sre.BrowserUtil.detectIE();this.isEdge=sre.BrowserUtil.detectEdge()};sre.Engine.prototype.getAxisValues=function(){return sre.DynamicCstr.getAxisValues()};sre.Engine.defaultEvaluator=function(a,b){return a};sre.AudioUtil={};sre.AudioUtil.mergePause=function(a,b,c){return a?{pause:(c||function(a,b){return a+b}).call(null,a.pause,b.pause)}:b};sre.AudioUtil.mergeMarkup=function(a,b){delete a.open;b.close.forEach(function(b){delete a[b]});b.open.forEach(function(c){a[c]=b[c]});var c=Object.keys(a);a.open=c};
-sre.AudioUtil.sortClose=function(a,b){if(1>=a.length)return a;for(var c=[],d=0,e;e=b[d],a.length;d++)e.close&&e.close.length&&e.close.forEach(function(b){var d=a.indexOf(b);-1!==d&&(c.unshift(b),a.splice(d,1))});return c};sre.AudioUtil.PersonalityRanges_={};sre.AudioUtil.LastOpen_=[];
-sre.AudioUtil.personalityMarkup=function(a){sre.AudioUtil.PersonalityRanges_={};sre.AudioUtil.LastOpen_=[];for(var b=[],c={},d=0,e;e=a[d];d++){var f=null,g=e.descriptionString();e=e.personality;void 0!==e[sre.Engine.personalityProps.PAUSE]&&(f={},f[sre.Engine.personalityProps.PAUSE]=e[sre.Engine.personalityProps.PAUSE],delete e[sre.Engine.personalityProps.PAUSE]);e=sre.AudioUtil.personalityDiff_(e,c);sre.AudioUtil.appendMarkup_(b,g,e,f,!0)}return b};
-sre.AudioUtil.isMarkupElement=function(a){return"object"===typeof a&&a.open};sre.AudioUtil.isPauseElement=function(a){return"object"===typeof a&&1===Object.keys(a).length&&Object.keys(a)[0]===sre.Engine.personalityProps.PAUSE};sre.AudioUtil.isStringElement=function(a){return"object"===typeof a&&1===Object.keys(a).length&&"string"===Object.keys(a)[0]};
-sre.AudioUtil.appendMarkup_=function(a,b,c,d,e){if(e){if((e=a[a.length-1])&&!b&&d&&sre.AudioUtil.isPauseElement(e)){var f=sre.Engine.personalityProps.PAUSE;e[f]+=d[f];d=null}e&&b&&0===Object.keys(c).length&&sre.AudioUtil.isStringElement(e)&&(e.string+=" "+b,b="")}0!==Object.keys(c).length&&a.push(c);b&&a.push({string:b});d&&a.push(d)};
-sre.AudioUtil.personalityDiff_=function(a,b){if(!b)return a;var c={};for(h in sre.Engine.personalityProps){var d=sre.Engine.personalityProps[h],e=a[d],f=b[d];if(!(!e&&!f||e&&f&&e===f)){var g=e||0;sre.AudioUtil.isMarkupElement(c)||(c.open=[],c.close=[]);e||c.close.push(d);f||c.open.push(d);f&&e&&(c.close.push(d),c.open.push(d));b[d]=g;c[d]=g;sre.AudioUtil.PersonalityRanges_[d]?sre.AudioUtil.PersonalityRanges_[d].push(g):sre.AudioUtil.PersonalityRanges_[d]=[g]}}if(sre.AudioUtil.isMarkupElement(c)){for(a=
-c.close.slice();0<a.length;){var h=sre.AudioUtil.LastOpen_.pop();d=sre.BaseUtil.setdifference(h,a);a=sre.BaseUtil.setdifference(a,h);h=d;if(0===a.length)0!==h.length&&sre.AudioUtil.LastOpen_.push(h);else if(0!==h.length)for(c.close=c.close.concat(h),c.open=c.open.concat(h),d=0;e=h[d];d++)c[e]=b[e]}sre.AudioUtil.LastOpen_.push(c.open)}return c};sre.AudioRenderer=function(){};sre.AudioRenderer.prototype.setSeparator=function(a){};sre.AudioRenderer.prototype.getSeparator=function(){};sre.AudioRenderer.prototype.markup=function(a){};sre.AudioRenderer.prototype.error=function(a){};sre.AudioRenderer.prototype.merge=function(a){};sre.AbstractAudioRenderer=function(){this.separator_=" "};sre.AbstractAudioRenderer.prototype.setSeparator=function(a){this.separator_=a};sre.AbstractAudioRenderer.prototype.getSeparator=function(){return this.separator_};sre.AbstractAudioRenderer.prototype.markup=goog.abstractMethod;sre.AbstractAudioRenderer.prototype.error=function(a){return null};sre.AbstractAudioRenderer.prototype.merge=function(a){return a.join(" ")};sre.MarkupRenderer=function(){sre.AbstractAudioRenderer.call(this);this.scaleFunction_=null};goog.inherits(sre.MarkupRenderer,sre.AbstractAudioRenderer);sre.MarkupRenderer.prototype.setScaleFunction=function(a,b,c,d,e){var f=e||0;this.scaleFunction_=function(e){e=(e-a)/(b-a);return+(Math.round(c*(1-e)+d*e+"e+"+f)+"e-"+f)}};sre.MarkupRenderer.prototype.applyScaleFunction=function(a){return this.scaleFunction_?this.scaleFunction_(a):a};sre.MarkupRenderer.prototype.pause=goog.abstractMethod;
-sre.MarkupRenderer.prototype.prosodyElement=goog.abstractMethod;sre.AcssRenderer=function(){sre.MarkupRenderer.call(this)};goog.inherits(sre.AcssRenderer,sre.MarkupRenderer);
-sre.AcssRenderer.prototype.markup=function(a){this.setScaleFunction(-2,2,0,10,0);a=sre.AudioUtil.personalityMarkup(a);for(var b=[],c={open:[]},d=null,e=!1,f=0,g;g=a[f];f++)if(sre.AudioUtil.isMarkupElement(g))sre.AudioUtil.mergeMarkup(c,g);else if(sre.AudioUtil.isPauseElement(g))e&&(d=sre.AudioUtil.mergePause(d,g,Math.max));else{g='"'+g.string+'"';e=!0;d&&(b.push(this.pause(d)),d=null);var h=this.prosody_(c);b.push(h?"(text ("+h+") "+g+")":g)}return"(exp "+b.join(this.getSeparator())+")"};
-sre.AcssRenderer.prototype.merge=function(a){return"(exp "+a.map(function(a){return a.replace(/^\(exp /,"").replace(/\)$/,"")}).join(" ")+")"};sre.AcssRenderer.prototype.error=function(a){return'(error "'+a+'")'};sre.AcssRenderer.prototype.prosody_=function(a){for(var b=a.open,c=[],d=0,e;e=b[d];d++)c.push(this.prosodyElement(e,a[e]));return c.join(" ")};
-sre.AcssRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);switch(a){case sre.Engine.personalityProps.RATE:return"(richness . "+b+")";case sre.Engine.personalityProps.PITCH:return"(average-pitch . "+b+")";case sre.Engine.personalityProps.VOLUME:return"(stress . "+b+")"}return"(value . "+b+")"};sre.AcssRenderer.prototype.pause=function(a){return"(pause . "+a[sre.Engine.personalityProps.PAUSE]+")"};sre.XmlRenderer=function(){sre.MarkupRenderer.call(this)};goog.inherits(sre.XmlRenderer,sre.MarkupRenderer);
-sre.XmlRenderer.prototype.markup=function(a){this.setScaleFunction(-2,2,-100,100,2);a=sre.AudioUtil.personalityMarkup(a);for(var b=[],c=[],d=0,e;e=a[d];d++)if(e.string)b.push(e.string);else if(sre.AudioUtil.isPauseElement(e))b.push(this.pause(e));else{if(e.close.length)for(var f=0;f<e.close.length;f++){var g=c.pop();if(-1===e.close.indexOf(g))throw Error("Unknown closing markup element: "+g);b.push(this.closeTag(g))}e.open.length&&sre.AudioUtil.sortClose(e.open.slice(),a.slice(d+1)).forEach(goog.bind(function(a){b.push(this.prosodyElement(a,
-e[a]));c.push(a)},this))}return b.join(this.getSeparator())};sre.XmlRenderer.prototype.closeTag=goog.abstractMethod;sre.SableRenderer=function(){sre.XmlRenderer.call(this)};goog.inherits(sre.SableRenderer,sre.XmlRenderer);sre.SableRenderer.prototype.pause=function(a){return'<BREAK MSEC="'+a[sre.Engine.personalityProps.PAUSE]+'"/>'};
-sre.SableRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);switch(a){case sre.Engine.personalityProps.PITCH:return'<PITCH BASE="'+b+'%">';case sre.Engine.personalityProps.RATE:return'<RATE SPEED="'+b+'%">';case sre.Engine.personalityProps.VOLUME:return'<VOLUME LEVEL="'+b+'%">';default:return"<"+a.toUpperCase()+' VALUE="'+b+'">'}};sre.SableRenderer.prototype.closeTag=function(a){return"</"+a.toUpperCase()+">"};sre.SsmlRenderer=function(){sre.XmlRenderer.call(this)};goog.inherits(sre.SsmlRenderer,sre.XmlRenderer);sre.SsmlRenderer.prototype.pause=function(a){return'<BREAK TIME="'+a[sre.Engine.personalityProps.PAUSE]+'ms"/>'};sre.SsmlRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);b=0>b?b.toString():"+"+b;return"<PROSODY "+a.toUpperCase()+'="'+b+(a===sre.Engine.personalityProps.VOLUME?">":'%">')};sre.SsmlRenderer.prototype.closeTag=function(a){return"</PROSODY>"};sre.BaseUtil={};sre.BaseUtil.removeEmpty=function(a){return a.filter(function(a){return a})};sre.BaseUtil.interleaveLists=function(a,b){for(var c=[];a.length||b.length;)a.length&&c.push(a.shift()),b.length&&c.push(b.shift());return c};sre.BaseUtil.setdifference=function(a,b){return a?b?a.filter(function(a){return 0>b.indexOf(a)}):a:[]};sre.BaseUtil.union=function(a,b){return a&&b?a.concat(sre.BaseUtil.setdifference(b,a)):a||b||[]};sre.BaseUtil.makePath=function(a){return a.match("/$")?a:a+"/"};sre.StringRenderer=function(){sre.AbstractAudioRenderer.call(this)};goog.inherits(sre.StringRenderer,sre.AbstractAudioRenderer);sre.StringRenderer.prototype.markup=function(a){return sre.BaseUtil.removeEmpty(a.map(function(a){return a.descriptionString()})).join(this.getSeparator())};sre.AuralRendering=function(){};goog.addSingletonGetter(sre.AuralRendering);sre.AuralRendering.prototype.setSeparator=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];b&&b.setSeparator(a)};sre.AuralRendering.prototype.getSeparator=function(){var a=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return a?a.getSeparator():""};
-sre.AuralRendering.prototype.markup=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.markup(a):""};sre.AuralRendering.prototype.merge=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.merge(a):a.join()};sre.AuralRendering.prototype.error=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.error(a):""};
-sre.AuralRendering.registerRenderer=function(a,b){sre.AuralRendering.rendererMapping_[a]=b};sre.AuralRendering.rendererMapping_={};sre.AuralRendering.registerRenderer(sre.Engine.Markup.NONE,new sre.StringRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.ACSS,new sre.AcssRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.SABLE,new sre.SableRenderer);sre.AuralRendering.xmlInstance=new sre.SsmlRenderer;sre.AuralRendering.registerRenderer(sre.Engine.Markup.VOICEXML,sre.AuralRendering.xmlInstance);
-sre.AuralRendering.registerRenderer(sre.Engine.Markup.SSML,sre.AuralRendering.xmlInstance);sre.Debugger=function(){this.isActive_=!1;this.outputFunction_=console.log;this.stream_=null};goog.addSingletonGetter(sre.Debugger);sre.Debugger.prototype.init=function(a){a&&this.startDebugFile_(a);this.isActive_=!0};
-sre.Debugger.prototype.startDebugFile_=function(a){this.stream_=sre.SystemExternal.fs.createWriteStream(a);this.outputFunction_=goog.bind(function(a){var b=Array.prototype.slice.call(arguments,0);this.stream_.write(b.join(" "));this.stream_.write("\n")},this);this.stream_.on("error",goog.bind(function(a){console.log("Invalid log file. Debug information sent to console.");this.outputFunction_=console.log},this));this.stream_.on("finish",function(){console.log("Finalizing debug file.")})};
-sre.Debugger.prototype.output_=function(a){this.outputFunction_.apply(console.log===this.outputFunction_?console:this.outputFunction_,["Speech Rule Engine Debugger:"].concat(a))};sre.Debugger.prototype.output=function(a){this.isActive_&&this.output_(Array.prototype.slice.call(arguments,0))};sre.Debugger.prototype.generateOutput=function(a){this.isActive_&&this.output_(a.apply(a,[]))};sre.Debugger.prototype.exit=function(a){this.isActive_&&this.stream_&&this.stream_.end("","",a||function(){})};sre.XpathUtil={};sre.XpathUtil.xpathSupported=function(){return"undefined"==typeof XPathResult?!1:!0};sre.XpathUtil.currentDocument=null;sre.XpathUtil.xpathEvaluate=sre.XpathUtil.xpathSupported()?document.evaluate:sre.SystemExternal.xpath.evaluate;sre.XpathUtil.xpathResult=sre.XpathUtil.xpathSupported()?XPathResult:sre.SystemExternal.xpath.XPathResult;sre.XpathUtil.createNSResolver=sre.XpathUtil.xpathSupported()?document.createNSResolver:sre.SystemExternal.xpath.createNSResolver;
-sre.XpathUtil.nameSpaces_={xhtml:"http://www.w3.org/1999/xhtml",mathml:"http://www.w3.org/1998/Math/MathML",svg:"http://www.w3.org/2000/svg"};sre.XpathUtil.resolveNameSpace=function(a){return sre.XpathUtil.nameSpaces_[a]||null};sre.XpathUtil.resolver_=function(){this.lookupNamespaceURI=sre.XpathUtil.resolveNameSpace};
+sre.DynamicCstr.defaultCstr=function(){return sre.DynamicCstr.create.apply(null,sre.DynamicCstr.DEFAULT_ORDER.map(function(a){return sre.DynamicCstr.DEFAULT_VALUES[a]}))};sre.DynamicCstr.validOrder=function(a){var b=sre.DynamicCstr.DEFAULT_ORDER.slice();return a.every(function(c){c=b.indexOf(c);return-1!==c&&b.splice(c,1)})};sre.Engine=function(){this.evaluator=sre.Engine.defaultEvaluator;this.parser=this.defaultParser=new sre.DynamicCstr.Parser(sre.DynamicCstr.DEFAULT_ORDER);this.parsers={};this.dynamicCstr=sre.DynamicCstr.defaultCstr();this.comparator=null;this.comparators={};this.domain=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN];this.style=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE];this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE];this.modality=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY];
+this.walker="Table";this.mode=sre.Engine.Mode.SYNC;this.speech=sre.Engine.Speech.NONE;this.structure=!1;this.ruleSets=[];this.cache=!0;this.markup=sre.Engine.Markup.NONE;this.isEdge=this.isIE=this.strict=!1;this.rate="100";this.pprint=!1;this.setupTests_=[];this.config=!1};goog.addSingletonGetter(sre.Engine);sre.Engine.personalityProps={PITCH:"pitch",RATE:"rate",VOLUME:"volume",PAUSE:"pause",JOIN:"join"};sre.Engine.Mode={SYNC:"sync",ASYNC:"async",HTTP:"http"};
+sre.Engine.Speech={NONE:"none",SHALLOW:"shallow",DEEP:"deep"};sre.Engine.Markup={NONE:"none",PUNCTUATION:"punctuation",SSML:"ssml",SSML_STEP:"ssml_step",ACSS:"acss",SABLE:"sable",VOICEXML:"voicexml"};sre.Engine.registerTest=function(a){sre.Engine.getInstance().setupTests_.push(a)};sre.Engine.isReady=function(){return sre.Engine.getInstance().setupTests_.every(function(a){return a()})};sre.Engine.prototype.setupBrowsers=function(){this.isIE=sre.BrowserUtil.detectIE();this.isEdge=sre.BrowserUtil.detectEdge()};
+sre.Engine.prototype.getAxisValues=function(){return sre.DynamicCstr.getAxisValues()};sre.Engine.defaultEvaluator=function(a,b){return a};sre.Engine.prototype.getRate=function(){var a=parseInt(this.rate,10);return isNaN(a)?100:a};sre.Engine.Error=function(a){Error.call(this);this.message=a||"";this.name="SRE Error"};goog.inherits(sre.Engine.Error,Error);sre.Engine.BINARY_FEATURES=["strict","cache","structure","pprint"];sre.Engine.STRING_FEATURES="markup style domain speech walker locale modality rate".split(" ");
+sre.Engine.prototype.setDynamicCstr=function(a){if(a)for(var b=Object.keys(a),c=0;c<b.length;c++){var d=b[c];-1!==sre.DynamicCstr.DEFAULT_ORDER.indexOf(d)&&(this[d]=a[d])}sre.Engine.DOMAIN_TO_STYLES[this.domain]=this.style;a=[this.locale,this.modality,this.domain,this.style].join(".");b=sre.DynamicProperties.create([sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]],
+[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE]]);c=this.comparators[this.domain];this.parser=(d=this.parsers[this.domain])?d:this.defaultParser;this.dynamicCstr=this.parser.parse(a);this.dynamicCstr.updateProperties(b.getProperties());this.comparator=c?c():new sre.DynamicCstr.DefaultComparator(this.dynamicCstr)};sre.Engine.DOMAIN_TO_STYLES={mathspeak:"default",clearspeak:"default"};sre.BaseUtil={};sre.BaseUtil.removeEmpty=function(a){return a.filter(function(b){return b})};sre.BaseUtil.interleaveLists=function(a,b){for(var c=[];a.length||b.length;)a.length&&c.push(a.shift()),b.length&&c.push(b.shift());return c};sre.BaseUtil.setdifference=function(a,b){return a?b?a.filter(function(c){return 0>b.indexOf(c)}):a:[]};sre.BaseUtil.union=function(a,b){return a&&b?a.concat(sre.BaseUtil.setdifference(b,a)):a||b||[]};sre.BaseUtil.makePath=function(a){return a.match("/$")?a:a+"/"};sre.Debugger=function(){this.isActive_=!1;this.outputFunction_=console.info;this.stream_=null};goog.addSingletonGetter(sre.Debugger);sre.Debugger.prototype.init=function(a){a&&this.startDebugFile_(a);this.isActive_=!0};
+sre.Debugger.prototype.startDebugFile_=function(a){this.stream_=sre.SystemExternal.fs.createWriteStream(a);this.outputFunction_=goog.bind(function(b){var c=Array.prototype.slice.call(arguments,0);this.stream_.write(c.join(" "));this.stream_.write("\n")},this);this.stream_.on("error",goog.bind(function(b){console.info("Invalid log file. Debug information sent to console.");this.outputFunction_=console.info},this));this.stream_.on("finish",function(){console.info("Finalizing debug file.")})};
+sre.Debugger.prototype.output_=function(a){this.outputFunction_.apply(console.info===this.outputFunction_?console:this.outputFunction_,["Speech Rule Engine Debugger:"].concat(a))};sre.Debugger.prototype.output=function(a){this.isActive_&&this.output_(Array.prototype.slice.call(arguments,0))};sre.Debugger.prototype.generateOutput=function(a){this.isActive_&&this.output_(a.apply(a,[]))};sre.Debugger.prototype.exit=function(a){this.isActive_&&this.stream_&&this.stream_.end("","",a||function(){})};sre.Grammar=function(){this.parameters_={};this.corrections_={};this.preprocessors_={};this.stateStack_=[];this.currentFlags={}};goog.addSingletonGetter(sre.Grammar);sre.Grammar.ATTRIBUTE="grammar";sre.Grammar.prototype.clear=function(){this.parameters_={};this.stateStack_=[]};sre.Grammar.prototype.setParameter=function(a,b){var c=this.parameters_[a];b?this.parameters_[a]=b:delete this.parameters_[a];return c};sre.Grammar.prototype.getParameter=function(a){return this.parameters_[a]};
+sre.Grammar.prototype.setCorrection=function(a,b){this.corrections_[a]=b};sre.Grammar.prototype.setPreprocessor=function(a,b){this.preprocessors_[a]=b};sre.Grammar.prototype.getCorrection=function(a){return this.corrections_[a]};sre.Grammar.prototype.getState=function(){var a=[],b;for(b in this.parameters_){var c=this.parameters_[b];a.push("string"===typeof c?b+":"+c:b)}return a.join(" ")};sre.Grammar.prototype.pushState=function(a){for(var b in a)a[b]=this.setParameter(b,a[b]);this.stateStack_.push(a)};
+sre.Grammar.prototype.popState=function(){var a=this.stateStack_.pop(),b;for(b in a)this.setParameter(b,a[b])};sre.Grammar.prototype.setAttribute=function(a){if(a&&a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE){var b=this.getState();b&&a.setAttribute(sre.Grammar.ATTRIBUTE,b)}};sre.Grammar.prototype.preprocess=function(a){return this.runProcessors_(a,this.preprocessors_)};sre.Grammar.prototype.correct=function(a){return this.runProcessors_(a,this.corrections_)};
+sre.Grammar.prototype.runProcessors_=function(a,b){for(var c in this.parameters_){var d=b[c];if(d){var e=this.parameters_[c];a=!0===e?d(a):d(a,e)}}return a};sre.Grammar.translateString_=function(a){a=sre.Grammar.prepareUnit_(a);var b=sre.Engine.getInstance();a=b.evaluator(a,b.dynamicCstr)||a;return sre.Grammar.cleanUnit_(a)};sre.Grammar.prepareUnit_=function(a){var b=a.match(/:unit$/);return b?a.slice(0,b.index).replace(/\s+/g," ")+a.slice(b.index):a};
+sre.Grammar.cleanUnit_=function(a){return a.match(/:unit$/)?(sre.Grammar.getInstance().setParameter("plural",!1),a.replace(/:unit$/,"")):a};
+sre.Grammar.prototype.apply=function(a,b){this.currentFlags=b||{};a=this.currentFlags.adjust||this.currentFlags.preprocess?sre.Grammar.getInstance().preprocess(a):a;if(this.parameters_.translate||this.currentFlags.translate)a=sre.Grammar.translateString_(a);a=this.currentFlags.adjust||this.currentFlags.correct?sre.Grammar.getInstance().correct(a):a;this.currentFlags={};return a};
+sre.Grammar.parseState=function(a){var b={};a=a.split(" ");for(var c=0,d=a.length;c<d;c++){var e=a[c].split(":"),f=e[1];b[e[0]]=f?f:!0}return b};sre.Grammar.parseInput=function(a){var b={};a=a.split(":");for(var c=0,d=a.length;c<d;c++){var e=a[c].split("="),f=e[0].trim();e[1]?b[f]=e[1].trim():f.match(/^!/)?b[f.slice(1)]=!1:b[f]=!0}return b};sre.Grammar.correctFont_=function(a,b){if(!b||!a)return a;b=sre.Messages.MS_FUNC.FONT_REGEXP(sre.Locale.localFont(b));return a.replace(b,"")};
+sre.Grammar.addAnnotation_=function(a,b){return a+":"+b};sre.Grammar.noTranslateText_=function(a){a.match(new RegExp("^["+sre.Messages.REGEXP.TEXT+"]+$"))&&(sre.Grammar.getInstance().currentFlags.translate=!1);return a};sre.Grammar.getInstance().setCorrection("ignoreFont",sre.Grammar.correctFont_);sre.Grammar.getInstance().setPreprocessor("annotation",sre.Grammar.addAnnotation_);sre.Grammar.getInstance().setPreprocessor("noTranslateText",sre.Grammar.noTranslateText_);
+sre.Grammar.getInstance().setCorrection("ignoreCaps",sre.Grammar.correctFont_);sre.XpathUtil={};sre.XpathUtil.xpathSupported=function(){return"undefined"==typeof XPathResult?!1:!0};sre.XpathUtil.currentDocument=null;sre.XpathUtil.xpathEvaluate=sre.XpathUtil.xpathSupported()?document.evaluate:sre.SystemExternal.xpath.evaluate;sre.XpathUtil.xpathResult=sre.XpathUtil.xpathSupported()?XPathResult:sre.SystemExternal.xpath.XPathResult;sre.XpathUtil.createNSResolver=sre.XpathUtil.xpathSupported()?document.createNSResolver:sre.SystemExternal.xpath.createNSResolver;
+sre.XpathUtil.nameSpaces_={xhtml:"http://www.w3.org/1999/xhtml",mathml:"http://www.w3.org/1998/Math/MathML",mml:"http://www.w3.org/1998/Math/MathML",svg:"http://www.w3.org/2000/svg"};sre.XpathUtil.resolveNameSpace=function(a){return sre.XpathUtil.nameSpaces_[a]||null};sre.XpathUtil.resolver_=function(){this.lookupNamespaceURI=sre.XpathUtil.resolveNameSpace};
 sre.XpathUtil.evaluateXpath_=function(a,b,c){var d=sre.Engine.getInstance();return d.mode!==sre.Engine.Mode.HTTP||d.isIE||d.isEdge?sre.XpathUtil.xpathEvaluate(a,b,new sre.XpathUtil.resolver_,c,null):sre.XpathUtil.currentDocument.evaluate(a,b,sre.XpathUtil.resolveNameSpace,c,null)};sre.XpathUtil.evalXPath=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.ORDERED_NODE_ITERATOR_TYPE)}catch(d){return[]}a=[];for(b=c.iterateNext();b;b=c.iterateNext())a.push(b);return a};
-sre.XpathUtil.getLeafNodes=function(a){return sre.XpathUtil.evalXPath(".//*[count(*)=0]",a)};sre.XpathUtil.evaluateBoolean=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.BOOLEAN_TYPE)}catch(d){return!1}return c.booleanValue};sre.XpathUtil.evaluateString=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.STRING_TYPE)}catch(d){return""}return c.stringValue};sre.DomUtil={};sre.DomUtil.toArray=function(a){for(var b=[],c=0,d=a.length;c<d;c++)b.push(a[c]);return b};sre.DomUtil.trimInput_=function(a){a=a.replace(/&nbsp;/g," ");return a.replace(/>\s+</g,"><").trim()};sre.DomUtil.XML_ENTITIES={"&lt;":!0,"&gt;":!0,"&amp;":!0,"&quot;":!0,"&apos;":!0};
-sre.DomUtil.parseInput=function(a,b){b=b||Error;var c=new sre.SystemExternal.xmldom.DOMParser;a=sre.DomUtil.trimInput_(a);var d=!!a.match(/&(?!lt|gt|amp|quot|apos)\w+;/g);if(!a)throw new b("Empty input!");try{var e=c.parseFromString(a,d?"text/html":"text/xml");return sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP?(sre.XpathUtil.currentDocument=e,d?e.body.childNodes[0]:e.documentElement):e.documentElement}catch(f){throw new b("Illegal input: "+f.message);}};
-sre.DomUtil.NodeType={ELEMENT_NODE:1,ATTRIBUTE_NODE:2,TEXT_NODE:3,CDATA_SECTION_NODE:4,ENTITY_REFERENCE_NODE:5,ENTITY_NODE:6,PROCESSING_INSTRUCTION_NODE:7,COMMENT_NODE:8,DOCUMENT_NODE:9,DOCUMENT_TYPE_NODE:10,DOCUMENT_FRAGMENT_NODE:11,NOTATION_NODE:12};sre.DomUtil.replaceNode=function(a,b){a.parentNode&&(a.parentNode.insertBefore(b,a),a.parentNode.removeChild(a))};sre.DomUtil.createElement=function(a){return sre.SystemExternal.document.createElement(a)};sre.DomUtil.createTextNode=function(a){return sre.SystemExternal.document.createTextNode(a)};
-sre.DomUtil.formatXml=function(a){var b=/(>)(<)(\/*)/g;a=a.replace(b,"$1\r\n$2$3");b=/(>)(.+)(<c)/g;a=a.replace(b,"$1\r\n$2\r\n$3");var c="",d="";a.split("\r\n").forEach(function(a){a.match(/.+<\/\w[^>]*>$/)?c+=d+a+"\r\n":a.match(/^<\/\w/)?d&&(d=d.slice(2),c+=d+a+"\r\n"):a.match(/^<\w[^>]*[^\/]>.*$/)?(c+=d+a+"\r\n",d+="  "):c+=d+a+"\r\n"});return c};sre.DomUtil.dataAttribute=function(a){a.match(/^data-/)&&(a=a.substr(5));return a.replace(/-([a-z])/g,function(a,c){return c.toUpperCase()})};
+sre.XpathUtil.getLeafNodes=function(a){return sre.XpathUtil.evalXPath(".//*[count(*)=0]",a)};sre.XpathUtil.evaluateBoolean=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.BOOLEAN_TYPE)}catch(d){return!1}return c.booleanValue};sre.XpathUtil.evaluateString=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.STRING_TYPE)}catch(d){return""}return c.stringValue};sre.DomUtil={};sre.DomUtil.toArray=function(a){for(var b=[],c=0,d=a.length;c<d;c++)b.push(a[c]);return b};sre.DomUtil.trimInput_=function(a){a=a.replace(/&nbsp;/g,"\u00a0");return a.replace(/>[ \f\n\r\t\v\u200b]+</g,"><").trim()};sre.DomUtil.XML_ENTITIES={"&lt;":!0,"&gt;":!0,"&amp;":!0,"&quot;":!0,"&apos;":!0};
+sre.DomUtil.parseInput=function(a,b){b=b||sre.Engine.Error;var c=new sre.SystemExternal.xmldom.DOMParser;a=sre.DomUtil.trimInput_(a);var d=!!a.match(/&(?!lt|gt|amp|quot|apos)\w+;/g);if(!a)throw new b("Empty input!");try{var e=c.parseFromString(a,d?"text/html":"text/xml");return sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP?(sre.XpathUtil.currentDocument=e,d?e.body.childNodes[0]:e.documentElement):e.documentElement}catch(f){throw new b("Illegal input: "+f.message);}};
+sre.DomUtil.NodeType={ELEMENT_NODE:1,ATTRIBUTE_NODE:2,TEXT_NODE:3,CDATA_SECTION_NODE:4,ENTITY_REFERENCE_NODE:5,ENTITY_NODE:6,PROCESSING_INSTRUCTION_NODE:7,COMMENT_NODE:8,DOCUMENT_NODE:9,DOCUMENT_TYPE_NODE:10,DOCUMENT_FRAGMENT_NODE:11,NOTATION_NODE:12};sre.DomUtil.replaceNode=function(a,b){a.parentNode&&(a.parentNode.insertBefore(b,a),a.parentNode.removeChild(a))};sre.DomUtil.createElement=function(a){return sre.SystemExternal.document.createElement(a)};
+sre.DomUtil.createElementNS=function(a,b){return sre.SystemExternal.document.createElementNS(a,b)};sre.DomUtil.createTextNode=function(a){return sre.SystemExternal.document.createTextNode(a)};
+sre.DomUtil.formatXml=function(a){var b="",c=/(>)(<)(\/*)/g;a=a.replace(c,"$1\r\n$2$3");var d=0;a=a.split("\r\n");c=/(\.)*(<)(\/*)/g;for(a=a.map(function(h){return h.replace(c,"$1\r\n$2$3").split("\r\n")}).reduce(function(h,k){return h.concat(k)},[]);a.length;){var e=a.shift();if(e){var f=0;if(e.match(/^<\w[^>\/]*>[^>]+$/)){var g=sre.DomUtil.matchingStartEnd_(e,a[0]);g[0]?g[1]?(e+=a.shift().slice(0,-g[1].length),g[1].trim()&&a.unshift(g[1])):e+=a.shift():f=1}else e.match(/^<\/\w/)?0!=d&&--d:e.match(/^<\w[^>]*[^\/]>.*$/)?
+f=1:e.match(/^<\w[^>]*\/>.+$/)?(g=e.indexOf(">")+1,e.slice(g).trim()&&a.unshift(),e=e.slice(0,g)):f=0;b+=Array(d+1).join("  ")+e+"\r\n";d+=f}}return b};sre.DomUtil.matchingStartEnd_=function(a,b){if(!b)return[!1,""];a=a.match(/^<([^> ]+).*>/);b=b.match(/^<\/([^>]+)>(.*)/);return a&&b&&a[1]===b[1]?[!0,b[2]]:[!1,""]};sre.DomUtil.dataAttribute=function(a){a.match(/^data-/)&&(a=a.substr(5));return a.replace(/-([a-z])/g,function(b,c){return c.toUpperCase()})};
 sre.DomUtil.getDataAttribute=function(a,b){return a.dataset?a.dataset[sre.DomUtil.dataAttribute(b)]:a.getAttribute(b)};sre.DomUtil.querySelectorAllByAttr=function(a,b){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll("["+b+"]")):sre.XpathUtil.evalXPath(".//*[@"+b+"]",a)};sre.DomUtil.querySelectorAllByAttrValue=function(a,b,c){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll("["+b+'="'+c+'"]')):sre.XpathUtil.evalXPath(".//*[@"+b+'="'+c+'"]',a)};
-sre.DomUtil.querySelectorAll=function(a,b){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll(b)):sre.XpathUtil.evalXPath(".//"+b,a)};sre.DomUtil.tagName=function(a){return a.tagName.toUpperCase()};sre.EnrichCase=function(){};sre.EnrichCase.prototype.getMathml=function(){};sre.AbstractEnrichCase=function(a){this.semantic=a};sre.AbstractEnrichCase.prototype.getMathml=goog.abstractMethod;sre.AbstractEnrichCase.test=goog.abstractMethod;sre.EnrichCaseFactory=function(){};sre.EnrichCaseFactory.getEmbellishedCase=function(a){return new sre.EnrichCaseFactory.embellishedCase(a)};sre.EnrichCaseFactory.cases=[];sre.EnrichCaseFactory.getCase=function(a){for(var b=0,c;c=sre.EnrichCaseFactory.cases[b];b++)if(c.test(a))return new c.constr(a);return null};sre.SemanticUtil=function(){};sre.SemanticUtil.objectsToKeys=function(a){a=Array.prototype.slice.call(arguments,0);var b=[];return b.concat.apply(b,a.map(Object.keys))};sre.SemanticUtil.objectsToValues=function(a){a=Array.prototype.slice.call(arguments,0);var b=[];a.forEach(function(a){for(var c in a)b.push(a[c])});return b};
+sre.DomUtil.querySelectorAll=function(a,b){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll(b)):sre.XpathUtil.evalXPath(".//"+b,a)};sre.DomUtil.tagName=function(a){return a.tagName.toUpperCase()};sre.Numbers={};sre.Numbers.identityTransformer_=function(a){return a.toString()};sre.Numbers.pluralTransformer_=function(a,b){return a.toString()};sre.Numbers.NUMBERS={wordOrdinal:sre.Numbers.identityTransformer_,simpleOrdinal:sre.Numbers.identityTransformer_,numberToWords:sre.Numbers.identityTransformer_,numberToOrdinal:sre.Numbers.pluralTransformer_,vulgarSep:" ",numSep:" "};sre.Messages={};sre.Messages.MS={START:"",FRAC_V:"",FRAC_B:"",FRAC_S:"",END:"",FRAC_OVER:"",TWICE:"",NEST_FRAC:"",ENDFRAC:"",SUPER:"",SUB:"",SUP:"",SUPERSCRIPT:"",SUBSCRIPT:"",BASELINE:"",BASE:"",NESTED:"",NEST_ROOT:"",STARTROOT:"",ENDROOT:"",ROOTINDEX:"",ROOT:"",INDEX:"",UNDER:"",UNDERSCRIPT:"",OVER:"",OVERSCRIPT:""};sre.Messages.MS_FUNC={FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:function(a){return""},COMBINE_ROOT_INDEX:function(a,b){return a}};sre.Messages.MS_ROOT_INDEX={};
+sre.Messages.FONT={bold:"","bold-fraktur":"","bold-italic":"","bold-script":"",caligraphic:"","caligraphic-bold":"","double-struck":"","double-struck-italic":"",fraktur:"",italic:"",monospace:"",normal:"",oldstyle:"","oldstyle-bold":"",script:"","sans-serif":"","sans-serif-italic":"","sans-serif-bold":"","sans-serif-bold-italic":"",unknown:""};
+sre.Messages.EMBELLISH={"super":"",sub:"",circled:"",parenthesized:"",period:"","negative-circled":"","double-circled":"","circled-sans-serif":"","negative-circled-sans-serif":"",blackboard:"",comma:"",squared:"","negative-squared":""};
+sre.Messages.ROLE={addition:"",multiplication:"",subtraction:"",division:"",equality:"",inequality:"",element:"",arrow:"",determinant:"",rowvector:"",binomial:"",squarematrix:"","set empty":"","set extended":"","set singleton":"","set collection":"",label:"",multiline:"",matrix:"",vector:"",cases:"",table:"",unknown:""};
+sre.Messages.ENCLOSE={longdiv:"",actuarial:"",radical:"",box:"",roundedbox:"",circle:"",left:"",right:"",top:"",bottom:"",updiagonalstrike:"",downdiagonalstrike:"",verticalstrike:"",horizontalstrike:"",madruwb:"",updiagonalarrow:"",phasorangle:"",unknown:""};sre.Messages.NAVIGATE={COLLAPSIBLE:"",EXPANDABLE:"",LEVEL:""};sre.Messages.REGEXP={TEXT:"a-zA-Z",NUMBER:"",DECIMAL_MARK:"",DIGIT_GROUP:"",JOINER_SUBSUPER:" "};sre.Messages.PLURAL_UNIT={};
+sre.Messages.PLURAL=function(a){return/.*s$/.test(a)?a:a+"s"};sre.Messages.UNIT_TIMES="";sre.Messages.NUMBERS=sre.Numbers.NUMBERS;sre.Messages.ALPHABETS={latinSmall:[],latinCap:[],greekSmall:[],greekCap:[]};sre.Messages.ALPHABET_PREFIXES={capPrefix:{default:""},smallPrefix:{default:""},digitPrefix:{default:""}};sre.Messages.identityTransformer_=function(a){return a.toString()};sre.Messages.ALPHABET_TRANSFORMERS={digit:{default:sre.Messages.identityTransformer_},letter:{default:sre.Messages.identityTransformer_}};
+sre.Messages.ALPHABET_COMBINER=function(a,b,c){return a};sre.NumbersUtil={};sre.NumbersUtil.ordinalCounter=function(a,b){var c=0;return function(){return sre.Messages.NUMBERS.simpleOrdinal(++c)+" "+b}};
+sre.NumbersUtil.convertVulgarFraction_=function(a){if(!a.childNodes||!a.childNodes[0]||!a.childNodes[0].childNodes||2>a.childNodes[0].childNodes.length||a.childNodes[0].childNodes[0].tagName!==sre.SemanticAttr.Type.NUMBER||a.childNodes[0].childNodes[0].getAttribute("role")!==sre.SemanticAttr.Role.INTEGER||a.childNodes[0].childNodes[1].tagName!==sre.SemanticAttr.Type.NUMBER||a.childNodes[0].childNodes[1].getAttribute("role")!==sre.SemanticAttr.Role.INTEGER)return{convertible:!1,content:a.textContent};
+var b=a.childNodes[0].childNodes[1].textContent;a=a.childNodes[0].childNodes[0].textContent;var c=Number(b),d=Number(a);return isNaN(c)||isNaN(d)?{convertible:!1,content:a+" "+sre.Messages.MS.FRAC_OVER+" "+b}:{convertible:!0,enumerator:d,denominator:c}};
+sre.NumbersUtil.vulgarFraction=function(a){a=sre.NumbersUtil.convertVulgarFraction_(a);return a.convertible&&a.enumerator&&a.denominator?sre.Messages.NUMBERS.numberToWords(a.enumerator)+sre.Messages.NUMBERS.vulgarSep+sre.Messages.NUMBERS.numberToOrdinal(a.denominator,1!==a.enumerator):a.content||""};sre.NumbersUtil.vulgarFractionSmall=function(a,b,c){var d=sre.NumbersUtil.convertVulgarFraction_(a);return d.convertible?(a=d.enumerator,d=d.denominator,0<a&&a<b&&0<d&&d<c):!1};
+sre.NumbersUtil.ordinalPosition=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes);return sre.Messages.NUMBERS.simpleOrdinal(b.indexOf(a)+1).toString()};sre.SemanticUtil=function(){};sre.SemanticUtil.objectsToKeys=function(a){a=Array.prototype.slice.call(arguments,0);var b=[];return b.concat.apply(b,a.map(Object.keys))};sre.SemanticUtil.objectsToValues=function(a){a=Array.prototype.slice.call(arguments,0);var b=[];a.forEach(function(c){for(var d in c)b.push(c[d])});return b};
 sre.SemanticUtil.unicodeToNumber=function(a){if(!a||2<a.length)return null;if(2==a.length){var b=a.charCodeAt(0);a=a.charCodeAt(1);return 55296<=b&&56319>=b&&!isNaN(a)?1024*(b-55296)+(a-56320)+65536:null}return a.charCodeAt(0)};sre.SemanticUtil.numberToUnicode=function(a){return 65536>a?String.fromCharCode(a):String.fromCharCode((a-65536)/1024+55296,(a-65536)%1024+56320)};
 sre.SemanticUtil.splitUnicode=function(a){a=a.split("");for(var b=[],c=0,d;d=a[c];c++)"\ud800"<=d&&"\udbff">=d&&a[c+1]?b.push(d+a[++c]):b.push(d);return b};sre.SemanticUtil.LEAFTAGS=["MO","MI","MN","MTEXT","MS"];sre.SemanticUtil.IGNORETAGS="MERROR MPHANTOM MSPACE MALIGNGROUP MALIGNMARK MPRESCRIPTS ANNOTATION ANNOTATION-XML".split(" ");sre.SemanticUtil.EMPTYTAGS="MATH MROW MPADDED MACTION NONE MSTYLE SEMANTICS".split(" ");sre.SemanticUtil.hasMathTag=function(a){return!!a&&"MATH"===sre.DomUtil.tagName(a)};
 sre.SemanticUtil.hasIgnoreTag=function(a){return!!a&&-1!==sre.SemanticUtil.IGNORETAGS.indexOf(sre.DomUtil.tagName(a))};sre.SemanticUtil.hasEmptyTag=function(a){return!!a&&-1!==sre.SemanticUtil.EMPTYTAGS.indexOf(sre.DomUtil.tagName(a))};sre.SemanticUtil.purgeNodes=function(a){for(var b=[],c=0,d;d=a[c];c++){var e=sre.DomUtil.tagName(d);-1!=sre.SemanticUtil.IGNORETAGS.indexOf(e)||-1!=sre.SemanticUtil.EMPTYTAGS.indexOf(e)&&0==d.childNodes.length||b.push(d)}return b};
 sre.SemanticUtil.isZeroLength=function(a){return a?-1!=="negativeveryverythinmathspace negativeverythinmathspace negativethinmathspace negativemediummathspace negativethickmathspace negativeverythickmathspace negativeveryverythickmathspace".split(" ").indexOf(a)?!0:(a=a.match(/[0-9\.]+/))?0===parseFloat(a)?!0:!1:!1:!1};sre.SemanticAttr=function(){this.generalPunctuations='!"#%&:;?@\\\u00a1\u00a7\u00b6\u00bf\u2017\u2020\u2021\u2022\u2023\u2024\u2025\u2027\u2030\u2031\u2038\u203b\u203c\u203d\u203e\u2041\u2042\u2043\u2047\u2048\u2049\u204b\u204c\u204d\u204e\u204f\u2050\u2051\u2053\u2055\u2056\u2058\u2059\u205a\u205b\u205c\u205d\u205e\ufe10\ufe13\ufe14\ufe15\ufe16\ufe30\ufe45\ufe46\ufe49\ufe4a\ufe4b\ufe4c\ufe50\ufe54\ufe55\ufe56\ufe57\ufe5f\ufe60\ufe61\ufe68\ufe6a\ufe6b\uff01\uff02\uff03\uff05\uff06\uff07\uff0a\uff0c\uff0f\uff1a\uff1b\uff1f\uff20\uff3c'.split("");
-this.invisibleComma_=sre.SemanticUtil.numberToUnicode(8291);this.commas=[",",this.invisibleComma_];this.ellipses="\u2026\u22ee\u22ef\u22f0\u22f1\ufe19".split("");this.fullStops=[".","\ufe52","\uff0e"];this.dashes="\u2012\u2013\u2014\u2015\u301c\ufe31\ufe32\ufe58".split("");this.primes="'\u2032\u2033\u2034\u2035\u2036\u2037\u2057".split("");this.openClosePairs={"(":")","[":"]","{":"}","\u2045":"\u2046","\u2329":"\u232a","\u2768":"\u2769","\u276a":"\u276b","\u276c":"\u276d","\u276e":"\u276f","\u2770":"\u2771",
-"\u2772":"\u2773","\u2774":"\u2775","\u27c5":"\u27c6","\u27e6":"\u27e7","\u27e8":"\u27e9","\u27ea":"\u27eb","\u27ec":"\u27ed","\u27ee":"\u27ef","\u2983":"\u2984","\u2985":"\u2986","\u2987":"\u2988","\u2989":"\u298a","\u298b":"\u298c","\u298d":"\u298e","\u298f":"\u2990","\u2991":"\u2992","\u2993":"\u2994","\u2995":"\u2996","\u2997":"\u2998","\u29d8":"\u29d9","\u29da":"\u29db","\u29fc":"\u29fd","\u2e22":"\u2e23","\u2e24":"\u2e25","\u2e26":"\u2e27","\u2e28":"\u2e29","\u3008":"\u3009","\u300a":"\u300b",
-"\u300c":"\u300d","\u300e":"\u300f","\u3010":"\u3011","\u3014":"\u3015","\u3016":"\u3017","\u3018":"\u3019","\u301a":"\u301b","\u301d":"\u301e","\ufd3e":"\ufd3f","\ufe17":"\ufe18","\ufe59":"\ufe5a","\ufe5b":"\ufe5c","\ufe5d":"\ufe5e","\uff08":"\uff09","\uff3b":"\uff3d","\uff5b":"\uff5d","\uff5f":"\uff60","\uff62":"\uff63","\u2308":"\u2309","\u230a":"\u230b","\u230c":"\u230d","\u230e":"\u230f","\u231c":"\u231d","\u231e":"\u231f","\u239b":"\u239e","\u239c":"\u239f","\u239d":"\u23a0","\u23a1":"\u23a4",
-"\u23a2":"\u23a5","\u23a3":"\u23a6","\u23a7":"\u23ab","\u23a8":"\u23ac","\u23a9":"\u23ad","\u23b0":"\u23b1","\u23b8":"\u23b9"};this.topBottomPairs={"\u23b4":"\u23b5","\u23dc":"\u23dd","\u23de":"\u23df","\u23e0":"\u23e1","\ufe35":"\ufe36","\ufe37":"\ufe38","\ufe39":"\ufe3a","\ufe3b":"\ufe3c","\ufe3d":"\ufe3e","\ufe3f":"\ufe40","\ufe41":"\ufe42","\ufe43":"\ufe44","\ufe47":"\ufe48"};this.leftFences=sre.SemanticUtil.objectsToKeys(this.openClosePairs);this.rightFences=sre.SemanticUtil.objectsToValues(this.openClosePairs);
-this.rightFences.push("\u301f");this.topFences=sre.SemanticUtil.objectsToKeys(this.topBottomPairs);this.bottomFences=sre.SemanticUtil.objectsToValues(this.topBottomPairs);this.neutralFences="|\u00a6\u2016\u2758\u2980\u2af4\uffe4\uff5c".split("");this.allFences=this.neutralFences.concat(this.leftFences,this.rightFences,this.topFences,this.bottomFences);this.capitalLatin="ABCDEFGHIJKLMNOPQRSTUVWXYZ".split("");this.smallLatin="abcdefghijklmnopqrstuvwxyz\u0131\u0237".split("");this.capitalLatinFullWidth=
-"\uff21\uff22\uff23\uff24\uff25\uff26\uff27\uff28\uff29\uff2a\uff2b\uff2c\uff2d\uff2e\uff2f\uff30\uff31\uff32\uff33\uff34\uff35\uff36\uff37\uff38\uff39\uff3a".split("");this.smallLatinFullWidth="\uff41\uff42\uff43\uff44\uff45\uff46\uff47\uff48\uff49\uff4a\uff4b\uff4c\uff4d\uff4e\uff4f\uff50\uff51\uff52\uff53\uff54\uff55\uff56\uff57\uff58\uff59\uff5a".split("");this.capitalLatinBold="\ud835\udc00 \ud835\udc01 \ud835\udc02 \ud835\udc03 \ud835\udc04 \ud835\udc05 \ud835\udc06 \ud835\udc07 \ud835\udc08 \ud835\udc09 \ud835\udc0a \ud835\udc0b \ud835\udc0c \ud835\udc0d \ud835\udc0e \ud835\udc0f \ud835\udc10 \ud835\udc11 \ud835\udc12 \ud835\udc13 \ud835\udc14 \ud835\udc15 \ud835\udc16 \ud835\udc17 \ud835\udc18 \ud835\udc19".split(" ");
+this.colons=[":","\uff1a","\ufe55"];this.invisibleComma_=sre.SemanticUtil.numberToUnicode(8291);this.commas=[",",this.invisibleComma_];this.ellipses="\u2026\u22ee\u22ef\u22f0\u22f1\ufe19".split("");this.fullStops=[".","\ufe52","\uff0e"];this.dashes="\u2012\u2013\u2014\u2015\u301c\ufe31\ufe32\ufe58".split("");this.primes="'\u2032\u2033\u2034\u2035\u2036\u2037\u2057".split("");this.degrees=["\u00b0"];this.openClosePairs={"(":")","[":"]","{":"}","\u2045":"\u2046","\u2329":"\u232a","\u2768":"\u2769",
+"\u276a":"\u276b","\u276c":"\u276d","\u276e":"\u276f","\u2770":"\u2771","\u2772":"\u2773","\u2774":"\u2775","\u27c5":"\u27c6","\u27e6":"\u27e7","\u27e8":"\u27e9","\u27ea":"\u27eb","\u27ec":"\u27ed","\u27ee":"\u27ef","\u2983":"\u2984","\u2985":"\u2986","\u2987":"\u2988","\u2989":"\u298a","\u298b":"\u298c","\u298d":"\u298e","\u298f":"\u2990","\u2991":"\u2992","\u2993":"\u2994","\u2995":"\u2996","\u2997":"\u2998","\u29d8":"\u29d9","\u29da":"\u29db","\u29fc":"\u29fd","\u2e22":"\u2e23","\u2e24":"\u2e25",
+"\u2e26":"\u2e27","\u2e28":"\u2e29","\u3008":"\u3009","\u300a":"\u300b","\u300c":"\u300d","\u300e":"\u300f","\u3010":"\u3011","\u3014":"\u3015","\u3016":"\u3017","\u3018":"\u3019","\u301a":"\u301b","\u301d":"\u301e","\ufd3e":"\ufd3f","\ufe17":"\ufe18","\ufe59":"\ufe5a","\ufe5b":"\ufe5c","\ufe5d":"\ufe5e","\uff08":"\uff09","\uff3b":"\uff3d","\uff5b":"\uff5d","\uff5f":"\uff60","\uff62":"\uff63","\u2308":"\u2309","\u230a":"\u230b","\u230c":"\u230d","\u230e":"\u230f","\u231c":"\u231d","\u231e":"\u231f",
+"\u239b":"\u239e","\u239c":"\u239f","\u239d":"\u23a0","\u23a1":"\u23a4","\u23a2":"\u23a5","\u23a3":"\u23a6","\u23a7":"\u23ab","\u23a8":"\u23ac","\u23a9":"\u23ad","\u23b0":"\u23b1","\u23b8":"\u23b9"};this.topBottomPairs={"\u23b4":"\u23b5","\u23dc":"\u23dd","\u23de":"\u23df","\u23e0":"\u23e1","\ufe35":"\ufe36","\ufe37":"\ufe38","\ufe39":"\ufe3a","\ufe3b":"\ufe3c","\ufe3d":"\ufe3e","\ufe3f":"\ufe40","\ufe41":"\ufe42","\ufe43":"\ufe44","\ufe47":"\ufe48"};this.leftFences=sre.SemanticUtil.objectsToKeys(this.openClosePairs);
+this.rightFences=sre.SemanticUtil.objectsToValues(this.openClosePairs);this.rightFences.push("\u301f");this.topFences=sre.SemanticUtil.objectsToKeys(this.topBottomPairs);this.bottomFences=sre.SemanticUtil.objectsToValues(this.topBottomPairs);this.neutralFences="|\u00a6\u2016\u2758\u2980\u2af4\uffe4\uff5c".split("");this.allFences=this.neutralFences.concat(this.leftFences,this.rightFences,this.topFences,this.bottomFences);this.capitalLatin="ABCDEFGHIJKLMNOPQRSTUVWXYZ".split("");this.smallLatin="abcdefghijklmnopqrstuvwxyz\u0131\u0237".split("");
+this.capitalLatinFullWidth="\uff21\uff22\uff23\uff24\uff25\uff26\uff27\uff28\uff29\uff2a\uff2b\uff2c\uff2d\uff2e\uff2f\uff30\uff31\uff32\uff33\uff34\uff35\uff36\uff37\uff38\uff39\uff3a".split("");this.smallLatinFullWidth="\uff41\uff42\uff43\uff44\uff45\uff46\uff47\uff48\uff49\uff4a\uff4b\uff4c\uff4d\uff4e\uff4f\uff50\uff51\uff52\uff53\uff54\uff55\uff56\uff57\uff58\uff59\uff5a".split("");this.capitalLatinBold="\ud835\udc00 \ud835\udc01 \ud835\udc02 \ud835\udc03 \ud835\udc04 \ud835\udc05 \ud835\udc06 \ud835\udc07 \ud835\udc08 \ud835\udc09 \ud835\udc0a \ud835\udc0b \ud835\udc0c \ud835\udc0d \ud835\udc0e \ud835\udc0f \ud835\udc10 \ud835\udc11 \ud835\udc12 \ud835\udc13 \ud835\udc14 \ud835\udc15 \ud835\udc16 \ud835\udc17 \ud835\udc18 \ud835\udc19".split(" ");
 this.smallLatinBold="\ud835\udc1a \ud835\udc1b \ud835\udc1c \ud835\udc1d \ud835\udc1e \ud835\udc1f \ud835\udc20 \ud835\udc21 \ud835\udc22 \ud835\udc23 \ud835\udc24 \ud835\udc25 \ud835\udc26 \ud835\udc27 \ud835\udc28 \ud835\udc29 \ud835\udc2a \ud835\udc2b \ud835\udc2c \ud835\udc2d \ud835\udc2e \ud835\udc2f \ud835\udc30 \ud835\udc31 \ud835\udc32 \ud835\udc33".split(" ");this.capitalLatinItalic="\ud835\udc34 \ud835\udc35 \ud835\udc36 \ud835\udc37 \ud835\udc38 \ud835\udc39 \ud835\udc3a \ud835\udc3b \ud835\udc3c \ud835\udc3d \ud835\udc3e \ud835\udc3f \ud835\udc40 \ud835\udc41 \ud835\udc42 \ud835\udc43 \ud835\udc44 \ud835\udc45 \ud835\udc46 \ud835\udc47 \ud835\udc48 \ud835\udc49 \ud835\udc4a \ud835\udc4b \ud835\udc4c \ud835\udc4d".split(" ");
-this.smallLatinItalic="\ud835\udc4e \ud835\udc4f \ud835\udc50 \ud835\udc51 \ud835\udc52 \ud835\udc53 \ud835\udc54 \u210e \ud835\udc56 \ud835\udc57 \ud835\udc58 \ud835\udc59 \ud835\udc5a \ud835\udc5b \ud835\udc5c \ud835\udc5d \ud835\udc5e \ud835\udc5f \ud835\udc60 \ud835\udc61 \ud835\udc62 \ud835\udc63 \ud835\udc64 \ud835\udc65 \ud835\udc66 \ud835\udc67 \ud835\udea4 \ud835\udea5".split(" ");this.capitalLatinScript="\ud835\udc9c \u212c \ud835\udc9e \ud835\udc9f \u2130 \u2131 \ud835\udca2 \u210b \u2110 \ud835\udca5 \ud835\udca6 \u2112 \u2133 \ud835\udca9 \ud835\udcaa \ud835\udcab \ud835\udcac \u211b \ud835\udcae \ud835\udcaf \ud835\udcb0 \ud835\udcb1 \ud835\udcb2 \ud835\udcb3 \ud835\udcb4 \ud835\udcb5 \u2118".split(" ");
+this.smallLatinItalic="\ud835\udc4e \ud835\udc4f \ud835\udc50 \ud835\udc51 \ud835\udc52 \ud835\udc53 \ud835\udc54 \u210e \ud835\udc56 \ud835\udc57 \ud835\udc58 \ud835\udc59 \ud835\udc5a \ud835\udc5b \ud835\udc5c \ud835\udc5d \ud835\udc5e \ud835\udc5f \ud835\udc60 \ud835\udc61 \ud835\udc62 \ud835\udc63 \ud835\udc64 \ud835\udc65 \ud835\udc66 \ud835\udc67 \ud835\udea4 \ud835\udea5".split(" ");this.capitalLatinBoldItalic="\ud835\udc68 \ud835\udc69 \ud835\udc6a \ud835\udc6b \ud835\udc6c \ud835\udc6d \ud835\udc6e \ud835\udc6f \ud835\udc70 \ud835\udc71 \ud835\udc72 \ud835\udc73 \ud835\udc74 \ud835\udc75 \ud835\udc76 \ud835\udc77 \ud835\udc78 \ud835\udc79 \ud835\udc7a \ud835\udc7b \ud835\udc7c \ud835\udc7d \ud835\udc7e \ud835\udc7f \ud835\udc80 \ud835\udc81".split(" ");
+this.smallLatinBoldItalic="\ud835\udc82 \ud835\udc83 \ud835\udc84 \ud835\udc85 \ud835\udc86 \ud835\udc87 \ud835\udc88 \ud835\udc89 \ud835\udc8a \ud835\udc8b \ud835\udc8c \ud835\udc8d \ud835\udc8e \ud835\udc8f \ud835\udc90 \ud835\udc91 \ud835\udc92 \ud835\udc93 \ud835\udc94 \ud835\udc95 \ud835\udc96 \ud835\udc97 \ud835\udc98 \ud835\udc99 \ud835\udc9a \ud835\udc9b".split(" ");this.capitalLatinScript="\ud835\udc9c \u212c \ud835\udc9e \ud835\udc9f \u2130 \u2131 \ud835\udca2 \u210b \u2110 \ud835\udca5 \ud835\udca6 \u2112 \u2133 \ud835\udca9 \ud835\udcaa \ud835\udcab \ud835\udcac \u211b \ud835\udcae \ud835\udcaf \ud835\udcb0 \ud835\udcb1 \ud835\udcb2 \ud835\udcb3 \ud835\udcb4 \ud835\udcb5 \u2118".split(" ");
 this.smallLatinScript="\ud835\udcb6 \ud835\udcb7 \ud835\udcb8 \ud835\udcb9 \u212f \ud835\udcbb \u210a \ud835\udcbd \ud835\udcbe \ud835\udcbf \ud835\udcc0 \ud835\udcc1 \ud835\udcc2 \ud835\udcc3 \u2134 \ud835\udcc5 \ud835\udcc6 \ud835\udcc7 \ud835\udcc8 \ud835\udcc9 \ud835\udcca \ud835\udccb \ud835\udccc \ud835\udccd \ud835\udcce \ud835\udccf \u2113".split(" ");this.capitalLatinBoldScript="\ud835\udcd0 \ud835\udcd1 \ud835\udcd2 \ud835\udcd3 \ud835\udcd4 \ud835\udcd5 \ud835\udcd6 \ud835\udcd7 \ud835\udcd8 \ud835\udcd9 \ud835\udcda \ud835\udcdb \ud835\udcdc \ud835\udcdd \ud835\udcde \ud835\udcdf \ud835\udce0 \ud835\udce1 \ud835\udce2 \ud835\udce3 \ud835\udce4 \ud835\udce5 \ud835\udce6 \ud835\udce7 \ud835\udce8 \ud835\udce9".split(" ");
 this.smallLatinBoldScript="\ud835\udcea \ud835\udceb \ud835\udcec \ud835\udced \ud835\udcee \ud835\udcef \ud835\udcf0 \ud835\udcf1 \ud835\udcf2 \ud835\udcf3 \ud835\udcf4 \ud835\udcf5 \ud835\udcf6 \ud835\udcf7 \ud835\udcf8 \ud835\udcf9 \ud835\udcfa \ud835\udcfb \ud835\udcfc \ud835\udcfd \ud835\udcfe \ud835\udcff \ud835\udd00 \ud835\udd01 \ud835\udd02 \ud835\udd03".split(" ");this.capitalLatinFraktur="\ud835\udd04 \ud835\udd05 \u212d \ud835\udd07 \ud835\udd08 \ud835\udd09 \ud835\udd0a \u210c \u2111 \ud835\udd0d \ud835\udd0e \ud835\udd0f \ud835\udd10 \ud835\udd11 \ud835\udd12 \ud835\udd13 \ud835\udd14 \u211c \ud835\udd16 \ud835\udd17 \ud835\udd18 \ud835\udd19 \ud835\udd1a \ud835\udd1b \ud835\udd1c \u2128".split(" ");
 this.smallLatinFraktur="\ud835\udd1e \ud835\udd1f \ud835\udd20 \ud835\udd21 \ud835\udd22 \ud835\udd23 \ud835\udd24 \ud835\udd25 \ud835\udd26 \ud835\udd27 \ud835\udd28 \ud835\udd29 \ud835\udd2a \ud835\udd2b \ud835\udd2c \ud835\udd2d \ud835\udd2e \ud835\udd2f \ud835\udd30 \ud835\udd31 \ud835\udd32 \ud835\udd33 \ud835\udd34 \ud835\udd35 \ud835\udd36 \ud835\udd37".split(" ");this.capitalLatinDoubleStruck="\ud835\udd38 \ud835\udd39 \u2102 \ud835\udd3b \ud835\udd3c \ud835\udd3d \ud835\udd3e \u210d \ud835\udd40 \ud835\udd41 \ud835\udd42 \ud835\udd43 \ud835\udd44 \u2115 \ud835\udd46 \u2119 \u211a \u211d \ud835\udd4a \ud835\udd4b \ud835\udd4c \ud835\udd4d \ud835\udd4e \ud835\udd4f \ud835\udd50 \u2124".split(" ");
@@ -150,17 +167,21 @@ this.smallLatinDoubleStruck="\ud835\udd52 \ud835\udd53 \ud835\udd54 \ud835\udd55
 this.smallLatinBoldFraktur="\ud835\udd86 \ud835\udd87 \ud835\udd88 \ud835\udd89 \ud835\udd8a \ud835\udd8b \ud835\udd8c \ud835\udd8d \ud835\udd8e \ud835\udd8f \ud835\udd90 \ud835\udd91 \ud835\udd92 \ud835\udd93 \ud835\udd94 \ud835\udd95 \ud835\udd96 \ud835\udd97 \ud835\udd98 \ud835\udd99 \ud835\udd9a \ud835\udd9b \ud835\udd9c \ud835\udd9d \ud835\udd9e \ud835\udd9f".split(" ");this.capitalLatinSansSerif="\ud835\udda0 \ud835\udda1 \ud835\udda2 \ud835\udda3 \ud835\udda4 \ud835\udda5 \ud835\udda6 \ud835\udda7 \ud835\udda8 \ud835\udda9 \ud835\uddaa \ud835\uddab \ud835\uddac \ud835\uddad \ud835\uddae \ud835\uddaf \ud835\uddb0 \ud835\uddb1 \ud835\uddb2 \ud835\uddb3 \ud835\uddb4 \ud835\uddb5 \ud835\uddb6 \ud835\uddb7 \ud835\uddb8 \ud835\uddb9".split(" ");
 this.smallLatinSansSerif="\ud835\uddba \ud835\uddbb \ud835\uddbc \ud835\uddbd \ud835\uddbe \ud835\uddbf \ud835\uddc0 \ud835\uddc1 \ud835\uddc2 \ud835\uddc3 \ud835\uddc4 \ud835\uddc5 \ud835\uddc6 \ud835\uddc7 \ud835\uddc8 \ud835\uddc9 \ud835\uddca \ud835\uddcb \ud835\uddcc \ud835\uddcd \ud835\uddce \ud835\uddcf \ud835\uddd0 \ud835\uddd1 \ud835\uddd2 \ud835\uddd3".split(" ");this.capitalLatinSansSerifBold="\ud835\uddd4 \ud835\uddd5 \ud835\uddd6 \ud835\uddd7 \ud835\uddd8 \ud835\uddd9 \ud835\uddda \ud835\udddb \ud835\udddc \ud835\udddd \ud835\uddde \ud835\udddf \ud835\udde0 \ud835\udde1 \ud835\udde2 \ud835\udde3 \ud835\udde4 \ud835\udde5 \ud835\udde6 \ud835\udde7 \ud835\udde8 \ud835\udde9 \ud835\uddea \ud835\uddeb \ud835\uddec \ud835\udded".split(" ");
 this.smallLatinSansSerifBold="\ud835\uddee \ud835\uddef \ud835\uddf0 \ud835\uddf1 \ud835\uddf2 \ud835\uddf3 \ud835\uddf4 \ud835\uddf5 \ud835\uddf6 \ud835\uddf7 \ud835\uddf8 \ud835\uddf9 \ud835\uddfa \ud835\uddfb \ud835\uddfc \ud835\uddfd \ud835\uddfe \ud835\uddff \ud835\ude00 \ud835\ude01 \ud835\ude02 \ud835\ude03 \ud835\ude04 \ud835\ude05 \ud835\ude06 \ud835\ude07".split(" ");this.capitalLatinSansSerifItalic="\ud835\ude08 \ud835\ude09 \ud835\ude0a \ud835\ude0b \ud835\ude0c \ud835\ude0d \ud835\ude0e \ud835\ude0f \ud835\ude10 \ud835\ude11 \ud835\ude12 \ud835\ude13 \ud835\ude14 \ud835\ude15 \ud835\ude16 \ud835\ude17 \ud835\ude18 \ud835\ude19 \ud835\ude1a \ud835\ude1b \ud835\ude1c \ud835\ude1d \ud835\ude1e \ud835\ude1f \ud835\ude20 \ud835\ude21".split(" ");
-this.smallLatinSansSerifItalic="\ud835\ude22 \ud835\ude23 \ud835\ude24 \ud835\ude25 \ud835\ude26 \ud835\ude27 \ud835\ude28 \ud835\ude29 \ud835\ude2a \ud835\ude2b \ud835\ude2c \ud835\ude2d \ud835\ude2e \ud835\ude2f \ud835\ude30 \ud835\ude31 \ud835\ude32 \ud835\ude33 \ud835\ude34 \ud835\ude35 \ud835\ude36 \ud835\ude37 \ud835\ude38 \ud835\ude39 \ud835\ude3a \ud835\ude3b".split(" ");this.capitalLatinMonospace="\ud835\ude70 \ud835\ude71 \ud835\ude72 \ud835\ude73 \ud835\ude74 \ud835\ude75 \ud835\ude76 \ud835\ude77 \ud835\ude78 \ud835\ude79 \ud835\ude7a \ud835\ude7b \ud835\ude7c \ud835\ude7d \ud835\ude7e \ud835\ude7f \ud835\ude80 \ud835\ude81 \ud835\ude82 \ud835\ude83 \ud835\ude84 \ud835\ude85 \ud835\ude86 \ud835\ude87 \ud835\ude88 \ud835\ude89".split(" ");
+this.smallLatinSansSerifItalic="\ud835\ude22 \ud835\ude23 \ud835\ude24 \ud835\ude25 \ud835\ude26 \ud835\ude27 \ud835\ude28 \ud835\ude29 \ud835\ude2a \ud835\ude2b \ud835\ude2c \ud835\ude2d \ud835\ude2e \ud835\ude2f \ud835\ude30 \ud835\ude31 \ud835\ude32 \ud835\ude33 \ud835\ude34 \ud835\ude35 \ud835\ude36 \ud835\ude37 \ud835\ude38 \ud835\ude39 \ud835\ude3a \ud835\ude3b".split(" ");this.capitalLatinSansSerifBoldItalic="\ud835\ude3c \ud835\ude3d \ud835\ude3e \ud835\ude3f \ud835\ude40 \ud835\ude41 \ud835\ude42 \ud835\ude43 \ud835\ude44 \ud835\ude45 \ud835\ude46 \ud835\ude47 \ud835\ude48 \ud835\ude49 \ud835\ude4a \ud835\ude4b \ud835\ude4c \ud835\ude4d \ud835\ude4e \ud835\ude4f \ud835\ude50 \ud835\ude51 \ud835\ude52 \ud835\ude53 \ud835\ude54 \ud835\ude55".split(" ");
+this.smallLatinSansSerifBoldItalic="\ud835\ude56 \ud835\ude57 \ud835\ude58 \ud835\ude59 \ud835\ude5a \ud835\ude5b \ud835\ude5c \ud835\ude5d \ud835\ude5e \ud835\ude5f \ud835\ude60 \ud835\ude61 \ud835\ude62 \ud835\ude63 \ud835\ude64 \ud835\ude65 \ud835\ude66 \ud835\ude67 \ud835\ude68 \ud835\ude69 \ud835\ude6a \ud835\ude6b \ud835\ude6c \ud835\ude6d \ud835\ude6e \ud835\ude6f".split(" ");this.capitalLatinMonospace="\ud835\ude70 \ud835\ude71 \ud835\ude72 \ud835\ude73 \ud835\ude74 \ud835\ude75 \ud835\ude76 \ud835\ude77 \ud835\ude78 \ud835\ude79 \ud835\ude7a \ud835\ude7b \ud835\ude7c \ud835\ude7d \ud835\ude7e \ud835\ude7f \ud835\ude80 \ud835\ude81 \ud835\ude82 \ud835\ude83 \ud835\ude84 \ud835\ude85 \ud835\ude86 \ud835\ude87 \ud835\ude88 \ud835\ude89".split(" ");
 this.smallLatinMonospace="\ud835\ude8a \ud835\ude8b \ud835\ude8c \ud835\ude8d \ud835\ude8e \ud835\ude8f \ud835\ude90 \ud835\ude91 \ud835\ude92 \ud835\ude93 \ud835\ude94 \ud835\ude95 \ud835\ude96 \ud835\ude97 \ud835\ude98 \ud835\ude99 \ud835\ude9a \ud835\ude9b \ud835\ude9c \ud835\ude9d \ud835\ude9e \ud835\ude9f \ud835\udea0 \ud835\udea1 \ud835\udea2 \ud835\udea3".split(" ");this.latinDoubleStruckItalic=["\u2145","\u2146","\u2147","\u2148","\u2149"];this.capitalGreek="\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9".split("");
 this.smallGreek="\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9".split("");this.capitalGreekBold="\ud835\udea8 \ud835\udea9 \ud835\udeaa \ud835\udeab \ud835\udeac \ud835\udead \ud835\udeae \ud835\udeaf \ud835\udeb0 \ud835\udeb1 \ud835\udeb2 \ud835\udeb3 \ud835\udeb4 \ud835\udeb5 \ud835\udeb6 \ud835\udeb7 \ud835\udeb8 \ud835\udeba \ud835\udebb \ud835\udebc \ud835\udebd \ud835\udebe \ud835\udebf \ud835\udec0".split(" ");
 this.smallGreekBold="\ud835\udec2 \ud835\udec3 \ud835\udec4 \ud835\udec5 \ud835\udec6 \ud835\udec7 \ud835\udec8 \ud835\udec9 \ud835\udeca \ud835\udecb \ud835\udecc \ud835\udecd \ud835\udece \ud835\udecf \ud835\uded0 \ud835\uded1 \ud835\uded2 \ud835\uded3 \ud835\uded4 \ud835\uded5 \ud835\uded6 \ud835\uded7 \ud835\uded8 \ud835\uded9 \ud835\udeda".split(" ");this.capitalGreekItalic="\ud835\udee2 \ud835\udee3 \ud835\udee4 \ud835\udee5 \ud835\udee6 \ud835\udee7 \ud835\udee8 \ud835\udee9 \ud835\udeea \ud835\udeeb \ud835\udeec \ud835\udeed \ud835\udeee \ud835\udeef \ud835\udef0 \ud835\udef1 \ud835\udef2 \ud835\udef4 \ud835\udef5 \ud835\udef6 \ud835\udef7 \ud835\udef8 \ud835\udef9 \ud835\udefa".split(" ");
-this.smallGreekItalic="\ud835\udefc \ud835\udefd \ud835\udefe \ud835\udeff \ud835\udf00 \ud835\udf01 \ud835\udf02 \ud835\udf03 \ud835\udf04 \ud835\udf05 \ud835\udf06 \ud835\udf07 \ud835\udf08 \ud835\udf09 \ud835\udf0a \ud835\udf0b \ud835\udf0c \ud835\udf0d \ud835\udf0e \ud835\udf0f \ud835\udf10 \ud835\udf11 \ud835\udf12 \ud835\udf13 \ud835\udf14".split(" ");this.capitalGreekSansSerifBold="\ud835\udf56 \ud835\udf57 \ud835\udf58 \ud835\udf59 \ud835\udf5a \ud835\udf5b \ud835\udf5c \ud835\udf5d \ud835\udf5e \ud835\udf5f \ud835\udf60 \ud835\udf61 \ud835\udf62 \ud835\udf63 \ud835\udf64 \ud835\udf65 \ud835\udf66 \ud835\udf68 \ud835\udf69 \ud835\udf6a \ud835\udf6b \ud835\udf6c \ud835\udf6d \ud835\udf6e".split(" ");
-this.smallGreekSansSerifBold="\ud835\udf70 \ud835\udf71 \ud835\udf72 \ud835\udf73 \ud835\udf74 \ud835\udf75 \ud835\udf76 \ud835\udf77 \ud835\udf78 \ud835\udf79 \ud835\udf7a \ud835\udf7b \ud835\udf7c \ud835\udf7d \ud835\udf7e \ud835\udf7f \ud835\udf80 \ud835\udf81 \ud835\udf82 \ud835\udf83 \ud835\udf84 \ud835\udf85 \ud835\udf86 \ud835\udf87 \ud835\udf88".split(" ");this.greekDoubleStruck=["\u213c","\u213d","\u213e","\u213f"];this.greekSpecial="\u03d0\u03d1\u03d5\u03d6\u03d7\u03f0\u03f1\u03f5\u03f6\u03f4".split("");
+this.smallGreekItalic="\ud835\udefc \ud835\udefd \ud835\udefe \ud835\udeff \ud835\udf00 \ud835\udf01 \ud835\udf02 \ud835\udf03 \ud835\udf04 \ud835\udf05 \ud835\udf06 \ud835\udf07 \ud835\udf08 \ud835\udf09 \ud835\udf0a \ud835\udf0b \ud835\udf0c \ud835\udf0d \ud835\udf0e \ud835\udf0f \ud835\udf10 \ud835\udf11 \ud835\udf12 \ud835\udf13 \ud835\udf14".split(" ");this.capitalGreekBoldItalic="\ud835\udf1c \ud835\udf1d \ud835\udf1e \ud835\udf1f \ud835\udf20 \ud835\udf21 \ud835\udf22 \ud835\udf23 \ud835\udf24 \ud835\udf25 \ud835\udf26 \ud835\udf27 \ud835\udf28 \ud835\udf29 \ud835\udf2a \ud835\udf2b \ud835\udf2c \ud835\udf2e \ud835\udf2f \ud835\udf30 \ud835\udf31 \ud835\udf32 \ud835\udf33 \ud835\udf34".split(" ");
+this.smallGreekBoldItalic="\ud835\udf36 \ud835\udf37 \ud835\udf38 \ud835\udf39 \ud835\udf3a \ud835\udf3b \ud835\udf3c \ud835\udf3d \ud835\udf3e \ud835\udf3f \ud835\udf40 \ud835\udf41 \ud835\udf42 \ud835\udf43 \ud835\udf44 \ud835\udf45 \ud835\udf46 \ud835\udf47 \ud835\udf48 \ud835\udf49 \ud835\udf4a \ud835\udf4b \ud835\udf4c \ud835\udf4d \ud835\udf4e".split(" ");this.capitalGreekSansSerifBold="\ud835\udf56 \ud835\udf57 \ud835\udf58 \ud835\udf59 \ud835\udf5a \ud835\udf5b \ud835\udf5c \ud835\udf5d \ud835\udf5e \ud835\udf5f \ud835\udf60 \ud835\udf61 \ud835\udf62 \ud835\udf63 \ud835\udf64 \ud835\udf65 \ud835\udf66 \ud835\udf68 \ud835\udf69 \ud835\udf6a \ud835\udf6b \ud835\udf6c \ud835\udf6d \ud835\udf6e".split(" ");
+this.smallGreekSansSerifBold="\ud835\udf70 \ud835\udf71 \ud835\udf72 \ud835\udf73 \ud835\udf74 \ud835\udf75 \ud835\udf76 \ud835\udf77 \ud835\udf78 \ud835\udf79 \ud835\udf7a \ud835\udf7b \ud835\udf7c \ud835\udf7d \ud835\udf7e \ud835\udf7f \ud835\udf80 \ud835\udf81 \ud835\udf82 \ud835\udf83 \ud835\udf84 \ud835\udf85 \ud835\udf86 \ud835\udf87 \ud835\udf88".split(" ");this.capitalGreekSansSerifBoldItalic="\ud835\udf90 \ud835\udf91 \ud835\udf92 \ud835\udf93 \ud835\udf94 \ud835\udf95 \ud835\udf96 \ud835\udf97 \ud835\udf98 \ud835\udf99 \ud835\udf9a \ud835\udf9b \ud835\udf9c \ud835\udf9d \ud835\udf9e \ud835\udf9f \ud835\udfa0 \ud835\udfa2 \ud835\udfa3 \ud835\udfa4 \ud835\udfa5 \ud835\udfa6 \ud835\udfa7 \ud835\udfa8".split(" ");
+this.smallGreekSansSerifBoldItalic="\ud835\udfaa \ud835\udfab \ud835\udfac \ud835\udfad \ud835\udfae \ud835\udfaf \ud835\udfb0 \ud835\udfb1 \ud835\udfb2 \ud835\udfb3 \ud835\udfb4 \ud835\udfb5 \ud835\udfb6 \ud835\udfb7 \ud835\udfb8 \ud835\udfb9 \ud835\udfba \ud835\udfbb \ud835\udfbc \ud835\udfbd \ud835\udfbe \ud835\udfbf \ud835\udfc0 \ud835\udfc1 \ud835\udfc2".split(" ");this.greekDoubleStruck=["\u213c","\u213d","\u213e","\u213f"];this.greekSpecial="\u03d0\u03d1\u03d5\u03d6\u03d7\u03f0\u03f1\u03f5\u03f6\u03f4".split("");
 this.greekSpecialBold="\ud835\udedc \ud835\udedd \ud835\udede \ud835\udedf \ud835\udee0 \ud835\udee1".split(" ");this.greekSpecialItalic="\ud835\udf16 \ud835\udf17 \ud835\udf18 \ud835\udf19 \ud835\udf1a \ud835\udf1b".split(" ");this.greekSpecialSansSerifBold="\ud835\udf8a \ud835\udf8b \ud835\udf8c \ud835\udf8d \ud835\udf8e \ud835\udf8f".split(" ");this.hebrewLetters=["\u2135","\u2136","\u2137","\u2138"];this.allLetters=this.capitalLatin.concat(this.smallLatin,this.capitalLatinFullWidth,this.smallLatinFullWidth,
-this.capitalLatinBold,this.smallLatinBold,this.capitalLatinItalic,this.smallLatinItalic,this.capitalLatinScript,this.smallLatinScript,this.capitalLatinBoldScript,this.smallLatinBoldScript,this.capitalLatinFraktur,this.smallLatinFraktur,this.capitalLatinDoubleStruck,this.smallLatinDoubleStruck,this.capitalLatinBoldFraktur,this.smallLatinBoldFraktur,this.capitalLatinSansSerif,this.smallLatinSansSerif,this.capitalLatinSansSerifBold,this.smallLatinSansSerifBold,this.capitalLatinSansSerifItalic,this.smallLatinSansSerifItalic,
-this.capitalLatinMonospace,this.smallLatinMonospace,this.latinDoubleStruckItalic,this.capitalGreek,this.smallGreek,this.capitalGreekBold,this.smallGreekBold,this.capitalGreekItalic,this.smallGreekItalic,this.capitalGreekSansSerifBold,this.smallGreekSansSerifBold,this.greekDoubleStruck,this.greekSpecial,this.greekSpecialBold,this.greekSpecialItalic,this.greekSpecialSansSerifBold,this.hebrewLetters);this.additions="+\u00b1\u2213\u2214\u2227\u2228\u2229\u222a\u228c\u2293\u2294\u229d\u229e\u22a4\u22a5\u22ba\u22bb\u22bc\u22c4\u22ce\u22cf\u22d2\u22d3\u25b3\u25b7\u25bd\u25c1\u2a5e\u2295".split("");
-this.invisiblePlus_=sre.SemanticUtil.numberToUnicode(8292);this.additions.push(this.invisiblePlus_);this.multiplications="\u2020\u2021\u2210\u2217\u2218\u2219\u2240\u229a\u229b\u22a0\u22a1\u22c5\u22c6\u22c7\u22c9\u22ca\u22cb\u22cc\u25cb\u00b7*".split("");this.invisibleTimes_=sre.SemanticUtil.numberToUnicode(8290);this.multiplications.push(this.invisibleTimes_);this.subtractions="-\u2052\u207b\u208b\u2212\u2216\u2238\u2242\u2296\u229f\u2796\u2a29\u2a2a\u2a2b\u2a2c\u2a3a\u2a41\u2a6c\ufe63\uff0d\u2010\u2011".split("");
-this.divisions="/\u00f7\u2044\u2215\u2298\u27cc\u29bc\u2a38".split("");this.functionApplication_=sre.SemanticUtil.numberToUnicode(8289);this.equalities="=~\u207c\u208c\u223c\u223d\u2243\u2245\u2248\u224a\u224b\u224c\u224d\u224e\u2251\u2252\u2253\u2254\u2255\u2256\u2257\u2258\u2259\u225a\u225b\u225c\u225d\u225e\u225f\u2261\u2263\u29e4\u2a66\u2a6e\u2a6f\u2a70\u2a71\u2a72\u2a73\u2a74\u2a75\u2a76\u2a77\u2a78\u22d5\u2a6d\u2a6a\u2a6b\u2a6c\ufe66\uff1d".split("");this.inequalities="<>\u2241\u2242\u2244\u2246\u2247\u2249\u224f\u2250\u2260\u2262\u2264\u2265\u2266\u2267\u2268\u2269\u226a\u226b\u226c\u226d\u226e\u226f\u2270\u2271\u2272\u2273\u2274\u2275\u2276\u2277\u2278\u2279\u227a\u227b\u227c\u227d\u227e\u227f\u2280\u2281\u22d6\u22d7\u22d8\u22d9\u22da\u22db\u22dc\u22dd\u22de\u22df\u22e0\u22e1\u22e2\u22e3\u22e4\u22e5\u22e6\u22e7\u22e8\u22e9\u2a79\u2a7a\u2a7b\u2a7c\u2a7d\u2a7e\u2a7f\u2a80\u2a81\u2a82\u2a83\u2a84\u2a85\u2a86\u2a87\u2a88\u2a89\u2a8a\u2a8b\u2a8c\u2a8d\u2a8e\u2a8f\u2a90\u2a91\u2a92\u2a93\u2a94\u2a95\u2a96\u2a97\u2a98\u2a99\u2a9a\u2a9b\u2a9c\u2a9d\u2a9e\u2a9f\u2aa0\u2aa1\u2aa2\u2aa3\u2aa4\u2aa5\u2aa6\u2aa7\u2aa8\u2aa9\u2aaa\u2aab\u2aac\u2aad\u2aae\u2aaf\u2ab0\u2ab1\u2ab2\u2ab3\u2ab4\u2ab5\u2ab6\u2ab7\u2ab8\u2ab9\u2aba\u2abb\u2abc\u2af7\u2af8\u2af9\u2afa\u29c0\u29c1\ufe64\ufe65\uff1c\uff1e".split("");
+this.capitalLatinBold,this.smallLatinBold,this.capitalLatinItalic,this.capitalLatinBoldItalic,this.smallLatinBoldItalic,this.smallLatinItalic,this.capitalLatinScript,this.smallLatinScript,this.capitalLatinBoldScript,this.smallLatinBoldScript,this.capitalLatinFraktur,this.smallLatinFraktur,this.capitalLatinDoubleStruck,this.smallLatinDoubleStruck,this.capitalLatinBoldFraktur,this.smallLatinBoldFraktur,this.capitalLatinSansSerif,this.smallLatinSansSerif,this.capitalLatinSansSerifBold,this.smallLatinSansSerifBold,
+this.capitalLatinSansSerifItalic,this.smallLatinSansSerifItalic,this.capitalLatinSansSerifBoldItalic,this.smallLatinSansSerifBoldItalic,this.capitalLatinMonospace,this.smallLatinMonospace,this.latinDoubleStruckItalic,this.capitalGreek,this.smallGreek,this.capitalGreekBold,this.smallGreekBold,this.capitalGreekItalic,this.smallGreekItalic,this.capitalGreekBoldItalic,this.smallGreekBoldItalic,this.capitalGreekSansSerifBold,this.smallGreekSansSerifBold,this.greekDoubleStruck,this.greekSpecial,this.capitalGreekSansSerifBoldItalic,
+this.smallGreekSansSerifBoldItalic,this.greekSpecialBold,this.greekSpecialItalic,this.greekSpecialSansSerifBold,this.hebrewLetters);this.additions="+\u00b1\u2213\u2214\u2227\u2228\u2229\u222a\u228c\u2293\u2294\u229d\u229e\u22a4\u22a5\u22ba\u22bb\u22bc\u22c4\u22ce\u22cf\u22d2\u22d3\u25b3\u25b7\u25bd\u25c1\u2a5e\u2295".split("");this.invisiblePlus_=sre.SemanticUtil.numberToUnicode(8292);this.additions.push(this.invisiblePlus_);this.multiplications="\u2020\u2021\u2210\u2217\u2218\u2219\u2240\u229a\u229b\u22a0\u22a1\u22c5\u22c6\u22c7\u22c9\u22ca\u22cb\u22cc\u25cb\u00b7*".split("");
+this.invisibleTimes_=sre.SemanticUtil.numberToUnicode(8290);this.multiplications.push(this.invisibleTimes_);this.subtractions="-\u2052\u207b\u208b\u2212\u2216\u2238\u2242\u2296\u229f\u2796\u2a29\u2a2a\u2a2b\u2a2c\u2a3a\u2a41\u2a6c\ufe63\uff0d\u2010\u2011".split("");this.divisions="/\u00f7\u2044\u2215\u2298\u27cc\u29bc\u2a38".split("");this.functionApplication_=sre.SemanticUtil.numberToUnicode(8289);this.equalities="=~\u207c\u208c\u223c\u223d\u2243\u2245\u2248\u224a\u224b\u224c\u224d\u224e\u2251\u2252\u2253\u2254\u2255\u2256\u2257\u2258\u2259\u225a\u225b\u225c\u225d\u225e\u225f\u2261\u2263\u29e4\u2a66\u2a6e\u2a6f\u2a70\u2a71\u2a72\u2a73\u2a74\u2a75\u2a76\u2a77\u2a78\u22d5\u2a6d\u2a6a\u2a6b\u2a6c\ufe66\uff1d".split("");
+this.inequalities="<>\u2241\u2242\u2244\u2246\u2247\u2249\u224f\u2250\u2260\u2262\u2264\u2265\u2266\u2267\u2268\u2269\u226a\u226b\u226c\u226d\u226e\u226f\u2270\u2271\u2272\u2273\u2274\u2275\u2276\u2277\u2278\u2279\u227a\u227b\u227c\u227d\u227e\u227f\u2280\u2281\u22d6\u22d7\u22d8\u22d9\u22da\u22db\u22dc\u22dd\u22de\u22df\u22e0\u22e1\u22e2\u22e3\u22e4\u22e5\u22e6\u22e7\u22e8\u22e9\u2a79\u2a7a\u2a7b\u2a7c\u2a7d\u2a7e\u2a7f\u2a80\u2a81\u2a82\u2a83\u2a84\u2a85\u2a86\u2a87\u2a88\u2a89\u2a8a\u2a8b\u2a8c\u2a8d\u2a8e\u2a8f\u2a90\u2a91\u2a92\u2a93\u2a94\u2a95\u2a96\u2a97\u2a98\u2a99\u2a9a\u2a9b\u2a9c\u2a9d\u2a9e\u2a9f\u2aa0\u2aa1\u2aa2\u2aa3\u2aa4\u2aa5\u2aa6\u2aa7\u2aa8\u2aa9\u2aaa\u2aab\u2aac\u2aad\u2aae\u2aaf\u2ab0\u2ab1\u2ab2\u2ab3\u2ab4\u2ab5\u2ab6\u2ab7\u2ab8\u2ab9\u2aba\u2abb\u2abc\u2af7\u2af8\u2af9\u2afa\u29c0\u29c1\ufe64\ufe65\uff1c\uff1e".split("");
 this.relations=[];this.arrows="\u2190\u2191\u2192\u2193\u2194\u2195\u2196\u2197\u2198\u2199\u219a\u219b\u219c\u219d\u219e\u219f\u21a0\u21a1\u21a2\u21a3\u21a4\u21a5\u21a6\u21a7\u21a8\u21a9\u21aa\u21ab\u21ac\u21ad\u21ae\u21af\u21b0\u21b1\u21b2\u21b3\u21b4\u21b5\u21b6\u21b7\u21b8\u21b9\u21ba\u21bb\u21c4\u21c5\u21c6\u21c7\u21c8\u21c9\u21ca\u21cd\u21ce\u21cf\u21d0\u21d1\u21d2\u21d3\u21d4\u21d5\u21d6\u21d7\u21d8\u21d9\u21da\u21db\u21dc\u21dd\u21de\u21df\u21e0\u21e1\u21e2\u21e3\u21e4\u21e5\u21e6\u21e7\u21e8\u21e9\u21ea\u21eb\u21ec\u21ed\u21ee\u21ef\u21f0\u21f1\u21f2\u21f3\u21f4\u21f5\u21f6\u21f7\u21f8\u21f9\u21fa\u21fb\u21fc\u21fd\u21fe\u21ff\u2301\u2303\u2304\u2324\u238b\u2794\u2798\u2799\u279a\u279b\u279c\u279d\u279e\u279f\u27a0\u27a1\u27a2\u27a3\u27a4\u27a5\u27a6\u27a7\u27a8\u27a9\u27aa\u27ab\u27ac\u27ad\u27ae\u27af\u27b1\u27b2\u27b3\u27b4\u27b5\u27b6\u27b7\u27b8\u27b9\u27ba\u27bb\u27bc\u27bd\u27be\u27f0\u27f1\u27f2\u27f3\u27f4\u27f5\u27f6\u27f7\u27f8\u27f9\u27fa\u27fb\u27fc\u27fd\u27fe\u27ff\u2900\u2901\u2902\u2903\u2904\u2905\u2906\u2907\u2908\u2909\u290a\u290b\u290c\u290d\u290e\u290f\u2910\u2911\u2912\u2913\u2914\u2915\u2916\u2917\u2918\u2919\u291a\u291b\u291c\u291d\u291e\u291f\u2920\u2921\u2922\u2923\u2924\u2925\u2926\u2927\u2928\u2929\u292a\u292d\u292e\u292f\u2930\u2931\u2932\u2933\u2934\u2935\u2936\u2937\u2938\u2939\u293a\u293b\u293c\u293d\u293e\u293f\u2940\u2941\u2942\u2943\u2944\u2945\u2946\u2947\u2948\u2949\u2970\u2971\u2972\u2973\u2974\u2975\u2976\u2977\u2978\u2979\u297a\u297b\u29b3\u29b4\u29bd\u29ea\u29ec\u29ed\u2a17\u2b00\u2b01\u2b02\u2b03\u2b04\u2b05\u2b06\u2b07\u2b08\u2b09\u2b0a\u2b0b\u2b0c\u2b0d\u2b0e\u2b0f\u2b10\u2b11\u2b30\u2b31\u2b32\u2b33\u2b34\u2b35\u2b36\u2b37\u2b38\u2b39\u2b3a\u2b3b\u2b3c\u2b3d\u2b3e\u2b3f\u2b40\u2b41\u2b42\u2b43\u2b44\u2b45\u2b46\u2b47\u2b48\u2b49\u2b4a\u2b4b\u2b4c\uffe9\uffea\uffeb\uffec\u21bc\u21bd\u21be\u21bf\u21c0\u21c1\u21c2\u21c3\u21cb\u21cc\u294a\u294b\u294c\u294d\u294e\u294f\u2950\u2951\u2952\u2953\u2954\u2955\u2956\u2957\u2958\u2959\u295a\u295b\u295c\u295d\u295e\u295f\u2960\u2961\u2962\u2963\u2964\u2965\u2966\u2967\u2968\u2969\u296a\u296b\u296c\u296d\u296e\u296f\u297c\u297d\u297e\u297f".split("");
 this.sumOps="\u2140\u220f\u2210\u2211\u22c0\u22c1\u22c2\u22c3\u2a00\u2a01\u2a02\u2a03\u2a04\u2a05\u2a06\u2a07\u2a08\u2a09\u2a0a\u2a0b\u2afc\u2aff".split("");this.intOps="\u222b\u222c\u222d\u222e\u222f\u2230\u2231\u2232\u2233\u2a0c\u2a0d\u2a0e\u2a0f\u2a10\u2a11\u2a12\u2a13\u2a14\u2a15\u2a16\u2a17\u2a18\u2a19\u2a1a\u2a1b\u2a1c".split("");this.prefixOps="\u2200\u2203\u2206\u2207\u2202\u2201\u2204".split("");this.prefixOpsBold=["\ud835\udec1","\ud835\udedb","\ud835\udfca","\ud835\udfcb"];this.prefixOpsItalic=
 ["\ud835\udefb","\ud835\udf15"];this.prefixOpsSansSerifBold=["\ud835\udf6f","\ud835\udf89"];this.operatorBits="\u2320\u2321\u23b6\u23aa\u23ae\u23af\u23b2\u23b3\u23b7".split("");this.digitsNormal="0123456789".split("");this.digitsFullWidth="\uff10\uff11\uff12\uff13\uff14\uff15\uff16\uff17\uff18\uff19".split("");this.digitsBold="\ud835\udfce \ud835\udfcf \ud835\udfd0 \ud835\udfd1 \ud835\udfd2 \ud835\udfd3 \ud835\udfd4 \ud835\udfd5 \ud835\udfd6 \ud835\udfd7".split(" ");this.digitsDoubleStruck="\ud835\udfd8 \ud835\udfd9 \ud835\udfda \ud835\udfdb \ud835\udfdc \ud835\udfdd \ud835\udfde \ud835\udfdf \ud835\udfe0 \ud835\udfe1".split(" ");
@@ -169,114 +190,144 @@ this.digitsSansSerif="\ud835\udfe2 \ud835\udfe3 \ud835\udfe4 \ud835\udfe5 \ud835
 this.fencedNumbers="\u2474\u2475\u2476\u2477\u2478\u2479\u247a\u247b\u247c\u247d\u247e\u247f\u2480\u2481\u2482\u2483\u2484\u2485\u2486\u2487".split("");this.punctuatedNumbers="\u2488 \u2489 \u248a \u248b \u248c \u248d \u248e \u248f \u2490 \u2491 \u2492 \u2493 \u2494 \u2495 \u2496 \u2497 \u2498 \u2499 \u249a \u249b \ud83c\udd00 \ud83c\udd01 \ud83c\udd02 \ud83c\udd03 \ud83c\udd04 \ud83c\udd05 \ud83c\udd06 \ud83c\udd07 \ud83c\udd08 \ud83c\udd09 \ud83c\udd0a".split(" ");this.digits=this.digitsNormal.concat(this.digitsFullWidth,
 this.digitsBold,this.digitsDoubleStruck,this.digitsSansSerif,this.digitsSansSerifBold,this.digitsMonospace);this.numbers=this.fractions.concat(this.digitsSuperscript,this.digitsSubscript,this.enclosedNumbers,this.fencedNumbers,this.punctuatedNumbers);this.allNumbers=this.digits.concat(this.numbers);this.trigonometricFunctions="cos cot csc sec sin tan arccos arccot arccsc arcsec arcsin arctan".split(" ");this.hyperbolicFunctions="cosh coth csch sech sinh tanh arcosh arcoth arcsch arsech arsinh artanh arccosh arccoth arccsch arcsech arcsinh arctanh".split(" ");
 this.algebraicFunctions="deg det dim hom ker Tr tr".split(" ");this.elementaryFunctions="log ln lg exp expt gcd gcd arg im re Pr".split(" ");this.prefixFunctions=this.trigonometricFunctions.concat(this.hyperbolicFunctions,this.algebraicFunctions,this.elementaryFunctions);this.limitFunctions="inf lim liminf limsup max min sup injlim projlim".split(" ");this.infixFunctions=["mod","rem"];this.symbolSetToSemantic_=[{set:this.generalPunctuations,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.UNKNOWN},
-{set:this.commas,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.COMMA},{set:this.ellipses,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.ELLIPSIS},{set:this.fullStops,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.FULLSTOP},{set:this.dashes,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.DASH},{set:this.primes,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.PRIME},{set:this.leftFences,type:sre.SemanticAttr.Type.FENCE,
-role:sre.SemanticAttr.Role.OPEN},{set:this.rightFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.CLOSE},{set:this.topFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.TOP},{set:this.bottomFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.BOTTOM},{set:this.neutralFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.NEUTRAL},{set:this.smallLatin,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},
-{set:this.capitalLatin,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallLatinFullWidth,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalLatinFullWidth,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallLatinBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,
-font:sre.SemanticAttr.Font.BOLD},{set:this.capitalLatinBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.smallLatinItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.capitalLatinItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.smallLatinScript,type:sre.SemanticAttr.Type.IDENTIFIER,
+{set:this.colons,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.COLON},{set:this.commas,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.COMMA},{set:this.ellipses,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.ELLIPSIS},{set:this.fullStops,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.FULLSTOP},{set:this.dashes,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.DASH},{set:this.primes,type:sre.SemanticAttr.Type.PUNCTUATION,
+role:sre.SemanticAttr.Role.PRIME},{set:this.degrees,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.DEGREE},{set:this.leftFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.OPEN},{set:this.rightFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.CLOSE},{set:this.topFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.TOP},{set:this.bottomFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.BOTTOM},{set:this.neutralFences,
+type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.NEUTRAL},{set:this.smallLatin,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalLatin,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallLatinFullWidth,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalLatinFullWidth,
+type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallLatinBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.capitalLatinBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.smallLatinItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.ITALIC},
+{set:this.capitalLatinItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.smallLatinBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDITALIC},{set:this.capitalLatinBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDITALIC},{set:this.smallLatinScript,type:sre.SemanticAttr.Type.IDENTIFIER,
 role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SCRIPT},{set:this.capitalLatinScript,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SCRIPT},{set:this.smallLatinBoldScript,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDSCRIPT},{set:this.capitalLatinBoldScript,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDSCRIPT},
 {set:this.smallLatinFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.FRAKTUR},{set:this.capitalLatinFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.FRAKTUR},{set:this.smallLatinDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.capitalLatinDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,
 role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.smallLatinBoldFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDFRAKTUR},{set:this.capitalLatinBoldFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDFRAKTUR},{set:this.smallLatinSansSerif,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIF},
 {set:this.capitalLatinSansSerif,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIF},{set:this.smallLatinSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.capitalLatinSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.smallLatinSansSerifItalic,type:sre.SemanticAttr.Type.IDENTIFIER,
-role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFITALIC},{set:this.capitalLatinSansSerifItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFITALIC},{set:this.smallLatinMonospace,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.capitalLatinMonospace,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.MONOSPACE},
-{set:this.latinDoubleStruckItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCKITALIC},{set:this.smallGreek,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalGreek,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallGreekBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,
-font:sre.SemanticAttr.Font.BOLD},{set:this.capitalGreekBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.smallGreekItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.capitalGreekItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.smallGreekSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,
-role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.capitalGreekSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.greekDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.greekSpecial,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},
-{set:this.greekSpecialBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.greekSpecialItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.greekSpecialSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.hebrewLetters,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.OTHERLETTER,
-font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsNormal,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsFullWidth,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsBold,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.BOLD},{set:this.digitsDoubleStruck,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,
-font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.digitsSansSerif,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.SANSSERIF},{set:this.digitsSansSerifBold,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.digitsMonospace,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.numbers,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.FLOAT},
-{set:this.additions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.ADDITION},{set:this.multiplications,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.MULTIPLICATION},{set:this.subtractions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.SUBTRACTION},{set:this.divisions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.DIVISION},{set:this.prefixOps,type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC},{set:this.prefixOpsBold,
-type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC,font:sre.SemanticAttr.Font.BOLD},{set:this.prefixOpsItalic,type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC,font:sre.SemanticAttr.Font.ITALIC},{set:this.prefixOpsSansSerifBold,type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.equalities,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.EQUALITY},{set:this.inequalities,
-type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.INEQUALITY},{set:this.relations,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.UNKNOWN},{set:this.arrows,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.ARROW},{set:this.sumOps,type:sre.SemanticAttr.Type.LARGEOP,role:sre.SemanticAttr.Role.SUM},{set:this.intOps,type:sre.SemanticAttr.Type.LARGEOP,role:sre.SemanticAttr.Role.INTEGRAL},{set:this.limitFunctions,type:sre.SemanticAttr.Type.FUNCTION,role:sre.SemanticAttr.Role.LIMFUNC},
-{set:this.prefixFunctions,type:sre.SemanticAttr.Type.FUNCTION,role:sre.SemanticAttr.Role.PREFIXFUNC},{set:this.infixFunctions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.MULTIPLICATION}];this.meaning_=this.initMeaning_()};goog.addSingletonGetter(sre.SemanticAttr);
+role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFITALIC},{set:this.capitalLatinSansSerifItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFITALIC},{set:this.smallLatinSansSerifBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLDITALIC},{set:this.capitalLatinSansSerifBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,
+font:sre.SemanticAttr.Font.SANSSERIFBOLDITALIC},{set:this.smallLatinMonospace,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.capitalLatinMonospace,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.latinDoubleStruckItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCKITALIC},{set:this.smallGreek,
+type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalGreek,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallGreekBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.capitalGreekBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},
+{set:this.smallGreekItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.capitalGreekItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.smallGreekBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLDITALIC},{set:this.capitalGreekBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,
+font:sre.SemanticAttr.Font.BOLDITALIC},{set:this.smallGreekSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.capitalGreekSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.capitalGreekSansSerifBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLDITALIC},
+{set:this.smallGreekSansSerifBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLDITALIC},{set:this.greekDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.greekSpecial,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.greekSpecialBold,type:sre.SemanticAttr.Type.IDENTIFIER,
+role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.greekSpecialItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.greekSpecialSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.hebrewLetters,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.OTHERLETTER,font:sre.SemanticAttr.Font.NORMAL},
+{set:this.digitsNormal,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsFullWidth,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsBold,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.BOLD},{set:this.digitsDoubleStruck,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},
+{set:this.digitsSansSerif,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.SANSSERIF},{set:this.digitsSansSerifBold,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.digitsMonospace,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.numbers,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.FLOAT},{set:this.additions,
+type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.ADDITION},{set:this.multiplications,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.MULTIPLICATION},{set:this.subtractions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.SUBTRACTION},{set:this.divisions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.DIVISION},{set:this.prefixOps,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.PREFIXOP},{set:this.prefixOpsBold,type:sre.SemanticAttr.Type.OPERATOR,
+role:sre.SemanticAttr.Role.PREFIXOP,font:sre.SemanticAttr.Font.BOLD},{set:this.prefixOpsItalic,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.PREFIXOP,font:sre.SemanticAttr.Font.ITALIC},{set:this.prefixOpsSansSerifBold,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.PREFIXOP,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.equalities,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.EQUALITY},{set:this.inequalities,type:sre.SemanticAttr.Type.RELATION,
+role:sre.SemanticAttr.Role.INEQUALITY},{set:this.relations,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.UNKNOWN},{set:this.arrows,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.ARROW},{set:this.sumOps,type:sre.SemanticAttr.Type.LARGEOP,role:sre.SemanticAttr.Role.SUM},{set:this.intOps,type:sre.SemanticAttr.Type.LARGEOP,role:sre.SemanticAttr.Role.INTEGRAL},{set:this.limitFunctions,type:sre.SemanticAttr.Type.FUNCTION,role:sre.SemanticAttr.Role.LIMFUNC},{set:this.prefixFunctions,
+type:sre.SemanticAttr.Type.FUNCTION,role:sre.SemanticAttr.Role.PREFIXFUNC},{set:this.infixFunctions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.INFIXFUNC}];this.meaning_=this.initMeaning_()};goog.addSingletonGetter(sre.SemanticAttr);
 sre.SemanticAttr.Type={PUNCTUATION:"punctuation",FENCE:"fence",NUMBER:"number",IDENTIFIER:"identifier",TEXT:"text",OPERATOR:"operator",RELATION:"relation",LARGEOP:"largeop",FUNCTION:"function",ACCENT:"accent",FENCED:"fenced",FRACTION:"fraction",PUNCTUATED:"punctuated",RELSEQ:"relseq",MULTIREL:"multirel",INFIXOP:"infixop",PREFIXOP:"prefixop",POSTFIXOP:"postfixop",APPL:"appl",INTEGRAL:"integral",BIGOP:"bigop",SQRT:"sqrt",ROOT:"root",LIMUPPER:"limupper",LIMLOWER:"limlower",LIMBOTH:"limboth",SUBSCRIPT:"subscript",
-SUPERSCRIPT:"superscript",UNDERSCORE:"underscore",OVERSCORE:"overscore",TENSOR:"tensor",TABLE:"table",MULTILINE:"multiline",MATRIX:"matrix",VECTOR:"vector",CASES:"cases",ROW:"row",LINE:"line",CELL:"cell",ENCLOSE:"enclose",UNKNOWN:"unknown",EMPTY:"empty"};
-sre.SemanticAttr.Role={COMMA:"comma",ELLIPSIS:"ellipsis",FULLSTOP:"fullstop",DASH:"dash",PRIME:"prime",VBAR:"vbar",OPENFENCE:"openfence",CLOSEFENCE:"closefence",APPLICATION:"application",DUMMY:"dummy",UNIT:"unit",LABEL:"label",OPEN:"open",CLOSE:"close",TOP:"top",BOTTOM:"bottom",NEUTRAL:"neutral",LATINLETTER:"latinletter",GREEKLETTER:"greekletter",OTHERLETTER:"otherletter",INTEGER:"integer",FLOAT:"float",OTHERNUMBER:"othernumber",MIXED:"mixed",MULTIACCENT:"multiaccent",OVERACCENT:"overaccent",UNDERACCENT:"underaccent",
-UNDEROVER:"underover",SUBSUP:"subsup",LEFTSUB:"leftsub",LEFTSUPER:"leftsuper",RIGHTSUB:"rightsub",RIGHTSUPER:"rightsuper",LEFTRIGHT:"leftright",ABOVEBELOW:"abovebelow",STRING:"string",SEQUENCE:"sequence",ENDPUNCT:"endpunct",STARTPUNCT:"startpunct",TEXT:"text",NEGATIVE:"negative",NEGATION:"negation",MULTIOP:"multiop",LIMFUNC:"limit function",INFIXFUNC:"infix function",PREFIXFUNC:"prefix function",POSTFIXFUNC:"postfix function",SIMPLEFUNC:"simple function",SUM:"sum",INTEGRAL:"integral",ADDITION:"addition",
-MULTIPLICATION:"multiplication",SUBTRACTION:"subtraction",IMPLICIT:"implicit",DIVISION:"division",VULGAR:"vulgar",EQUALITY:"equality",INEQUALITY:"inequality",ELEMENT:"element",ARROW:"arrow",DETERMINANT:"determinant",ROWVECTOR:"rowvector",BINOMIAL:"binomial",SQUAREMATRIX:"squarematrix",MULTILINE:"multiline",MATRIX:"matrix",VECTOR:"vector",CASES:"cases",TABLE:"table",UNKNOWN:"unknown",PROTECTED:"protected"};
+SUPERSCRIPT:"superscript",UNDERSCORE:"underscore",OVERSCORE:"overscore",TENSOR:"tensor",TABLE:"table",MULTILINE:"multiline",MATRIX:"matrix",VECTOR:"vector",CASES:"cases",ROW:"row",LINE:"line",CELL:"cell",ENCLOSE:"enclose",INFERENCE:"inference",RULELABEL:"rulelabel",CONCLUSION:"conclusion",PREMISES:"premises",UNKNOWN:"unknown",EMPTY:"empty"};
+sre.SemanticAttr.Role={COMMA:"comma",ELLIPSIS:"ellipsis",FULLSTOP:"fullstop",DASH:"dash",PRIME:"prime",DEGREE:"degree",VBAR:"vbar",COLON:"colon",OPENFENCE:"openfence",CLOSEFENCE:"closefence",APPLICATION:"application",DUMMY:"dummy",UNIT:"unit",LABEL:"label",OPEN:"open",CLOSE:"close",TOP:"top",BOTTOM:"bottom",NEUTRAL:"neutral",LATINLETTER:"latinletter",GREEKLETTER:"greekletter",OTHERLETTER:"otherletter",INTEGER:"integer",FLOAT:"float",OTHERNUMBER:"othernumber",MIXED:"mixed",MULTIACCENT:"multiaccent",
+OVERACCENT:"overaccent",UNDERACCENT:"underaccent",UNDEROVER:"underover",SUBSUP:"subsup",LEFTSUB:"leftsub",LEFTSUPER:"leftsuper",RIGHTSUB:"rightsub",RIGHTSUPER:"rightsuper",LEFTRIGHT:"leftright",ABOVEBELOW:"abovebelow",SETEMPTY:"set empty",SETEXT:"set extended",SETSINGLE:"set singleton",SETCOLLECT:"set collection",STRING:"string",SEQUENCE:"sequence",ENDPUNCT:"endpunct",STARTPUNCT:"startpunct",TEXT:"text",NEGATIVE:"negative",POSITIVE:"positive",NEGATION:"negation",MULTIOP:"multiop",PREFIXOP:"prefix operator",
+POSTFIXOP:"postfix operator",LIMFUNC:"limit function",INFIXFUNC:"infix function",PREFIXFUNC:"prefix function",POSTFIXFUNC:"postfix function",SIMPLEFUNC:"simple function",COMPFUNC:"composed function",SUM:"sum",INTEGRAL:"integral",ADDITION:"addition",MULTIPLICATION:"multiplication",SUBTRACTION:"subtraction",IMPLICIT:"implicit",DIVISION:"division",VULGAR:"vulgar",EQUALITY:"equality",INEQUALITY:"inequality",ELEMENT:"element",ARROW:"arrow",DETERMINANT:"determinant",ROWVECTOR:"rowvector",BINOMIAL:"binomial",
+SQUAREMATRIX:"squarematrix",MULTILINE:"multiline",MATRIX:"matrix",VECTOR:"vector",CASES:"cases",TABLE:"table",PROOF:"proof",LEFT:"left",RIGHT:"right",UP:"up",DOWN:"down",FINAL:"final",SINGLE:"single",HYP:"hyp",AXIOM:"axiom",UNKNOWN:"unknown"};
 sre.SemanticAttr.Font={BOLD:"bold",BOLDFRAKTUR:"bold-fraktur",BOLDITALIC:"bold-italic",BOLDSCRIPT:"bold-script",CALIGRAPHIC:"caligraphic",CALIGRAPHICBOLD:"caligraphic-bold",DOUBLESTRUCK:"double-struck",DOUBLESTRUCKITALIC:"double-struck-italic",FRAKTUR:"fraktur",ITALIC:"italic",MONOSPACE:"monospace",NORMAL:"normal",OLDSTYLE:"oldstyle",OLDSTYLEBOLD:"oldstyle-bold",SCRIPT:"script",SANSSERIF:"sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLD:"sans-serif-bold",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",
-UNKNOWN:"unknown"};sre.SemanticAttr.prototype.lookupType=function(a){return sre.SemanticAttr.Type.UNKNOWN};sre.SemanticAttr.prototype.lookupRole=function(a){return sre.SemanticAttr.Role.UNKNOWN};sre.SemanticAttr.lookupMeaning=function(a){return sre.SemanticAttr.getInstance().lookupMeaning_(a)};sre.SemanticAttr.invisibleTimes=function(){return sre.SemanticAttr.getInstance().invisibleTimes_};sre.SemanticAttr.invisibleComma=function(){return sre.SemanticAttr.getInstance().invisibleComma_};
-sre.SemanticAttr.functionApplication=function(){return sre.SemanticAttr.getInstance().functionApplication_};sre.SemanticAttr.isMatchingFenceRole=function(a,b){return a==sre.SemanticAttr.Role.OPEN&&b==sre.SemanticAttr.Role.CLOSE||a==sre.SemanticAttr.Role.NEUTRAL&&b==sre.SemanticAttr.Role.NEUTRAL||a==sre.SemanticAttr.Role.TOP&&b==sre.SemanticAttr.Role.BOTTOM};sre.SemanticAttr.isMatchingFence=function(a,b){return sre.SemanticAttr.getInstance().isMatchingFence_(a,b)};
-sre.SemanticAttr.isOpeningFence=function(a){return a==sre.SemanticAttr.Role.OPEN||a==sre.SemanticAttr.Role.NEUTRAL};sre.SemanticAttr.isClosingFence=function(a){return a==sre.SemanticAttr.Role.CLOSE||a==sre.SemanticAttr.Role.NEUTRAL};sre.SemanticAttr.isEmbellishedType=function(a){return a===sre.SemanticAttr.Type.OPERATOR||a===sre.SemanticAttr.Type.RELATION||a===sre.SemanticAttr.Type.FENCE||a===sre.SemanticAttr.Type.PUNCTUATION};sre.SemanticAttr.isCharacterD=function(a){return-1!="d \u2146 \uff44 \ud835\udc1d \ud835\udc51 \ud835\udcb9 \ud835\udced \ud835\udd21 \ud835\udd55 \ud835\udd89 \ud835\uddbd \ud835\uddf1 \ud835\ude25 \ud835\ude8d".split(" ").indexOf(a)};
-sre.SemanticAttr.prototype.isMatchingFence_=function(a,b){return-1!=this.neutralFences.indexOf(a)?a==b:this.openClosePairs[a]==b||this.topBottomPairs[a]==b};sre.SemanticAttr.prototype.initMeaning_=function(){for(var a={},b=0,c;c=this.symbolSetToSemantic_[b];b++)c.set.forEach(function(b){a[b]={role:c.role||sre.SemanticAttr.Role.UNKNOWN,type:c.type||sre.SemanticAttr.Type.UNKNOWN,font:c.font||sre.SemanticAttr.Font.UNKNOWN}});return a};
-sre.SemanticAttr.prototype.lookupMeaning_=function(a){return this.meaning_[a]||{role:sre.SemanticAttr.Role.UNKNOWN,type:sre.SemanticAttr.Type.UNKNOWN,font:sre.SemanticAttr.Font.UNKNOWN}};sre.MathUtil={};sre.MathUtil.isMathmlNodeOfClass_=function(a,b){return-1!=b.indexOf(a.tagName.toUpperCase())};sre.MathUtil.isMathjaxNodeOfClass_=function(a,b){return"SPAN"==a.tagName?a.className.split(" ").some(function(a){return-1!=b.indexOf(a.toUpperCase())}):!1};sre.MathUtil.isMathNodeOfClass_=function(a,b){return a.nodeType==sre.DomUtil.NodeType.ELEMENT_NODE&&(sre.MathUtil.isMathmlNodeOfClass_(a,b)||sre.MathUtil.isMathjaxNodeOfClass_(a,b))};sre.MathUtil.TOKEN_LIST="MI MN MO MTEXT MSPACE MS".split(" ");
-sre.MathUtil.isToken=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.TOKEN_LIST)};sre.MathUtil.LAYOUT_LIST="MROW MFRAC MSQRT MROOT MSTYLE MERROR MPADDED MPHANTOM MFENCED MENCLOSE".split(" ");sre.MathUtil.isLayout=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.LAYOUT_LIST)};sre.MathUtil.SCRIPT_LIST="MSUB MSUP MSUBSUP MUNDER MOVER MUNDEROVER MMULTISCRIPTS MPRESCRIPTS".split(" ");sre.MathUtil.isScript=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.SCRIPT_LIST)};
-sre.MathUtil.TABLES_LIST="MTABLE MLABELEDTR MTR MTD MALIGNGROUP MALIGNMARK".split(" ");sre.MathUtil.isTables=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.TABLES_LIST)};sre.MathUtil.ELEMENTARY_LIST="MSTACK MLONGDIV MSGROUP MSROW MSCARRIES MSCARRY MSLINE".split(" ");sre.MathUtil.isElementary=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.ELEMENTARY_LIST)};
-sre.MathUtil.MATHML_TAG_LIST=[sre.MathUtil.TOKEN_LIST,sre.MathUtil.LAYOUT_LIST,sre.MathUtil.SCRIPT_LIST,sre.MathUtil.TABLES_LIST,sre.MathUtil.ELEMENTARY_LIST].reduce(function(a,b){return a.concat(b)});sre.MathUtil.isMathmlTag=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.MATHML_TAG_LIST)};sre.MathUtil.WHITESPACE_LIST=["MSROW","MROW","MSPACE","MPHANTOM","MPADDED"];sre.MathUtil.isWhitespace=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.WHITESPACE_LIST)};
-sre.MathUtil.isNotWhitespace=function(a){return sre.MathUtil.isMathmlTag(a)&&!sre.MathUtil.isWhitespace(a)};sre.MathUtil.nextSeparatorFunction=function(a){if(a){if(a.match(/^\s+$/))return null;var b=a.replace(/\s/g,"").split("").filter(function(a){return a})}else b=[","];return function(){return 1<b.length?b.shift():b[0]}};sre.SemanticNode=function(a){this.id=a;this.mathml=[];this.parent=null;this.type=sre.SemanticAttr.Type.UNKNOWN;this.role=sre.SemanticAttr.Role.UNKNOWN;this.font=sre.SemanticAttr.Font.UNKNOWN;this.embellished=null;this.fencePointer="";this.childNodes=[];this.textContent="";this.mathmlTree=null;this.contentNodes=[]};sre.SemanticNode.prototype.querySelectorAll=function(a){for(var b=[],c=0,d;d=this.childNodes[c];c++)b=b.concat(d.querySelectorAll(a));a(this)&&b.unshift(this);return b};
-sre.SemanticNode.prototype.xml=function(a,b){var c=function(c,d){d=d.map(function(c){return c.xml(a,b)});c=a.createElementNS("",c);for(var e=0,f;f=d[e];e++)c.appendChild(f);return c},d=a.createElementNS("",this.type);b||this.xmlAttributes_(d);d.textContent=this.textContent;0<this.contentNodes.length&&d.appendChild(c("content",this.contentNodes));0<this.childNodes.length&&d.appendChild(c("children",this.childNodes));return d};
-sre.SemanticNode.prototype.toString=function(a){var b=new sre.SystemExternal.xmldom.XMLSerializer,c=(new sre.SystemExternal.xmldom.DOMParser).parseFromString("","text/xml");return b.serializeToString(this.xml(c,a))};
-sre.SemanticNode.prototype.xmlAttributes_=function(a){a.setAttribute("role",this.role);this.font!=sre.SemanticAttr.Font.UNKNOWN&&a.setAttribute("font",this.font);this.embellished&&a.setAttribute("embellished",this.embellished);this.fencePointer&&a.setAttribute("fencepointer",this.fencePointer);a.setAttribute("id",this.id)};
-sre.SemanticNode.prototype.updateContent=function(a){var b=a.trim();a=a&&!b?a:b;this.textContent!=a&&(b=sre.SemanticAttr.lookupMeaning(a),this.textContent=a,this.role=b.role,this.type=b.type,this.font=b.font)};sre.SemanticNode.prototype.addMathmlNodes=function(a){for(var b=0,c;c=a[b];b++)-1==this.mathml.indexOf(c)&&this.mathml.push(c)};sre.SemanticNode.prototype.removeMathmlNodes_=function(a){for(var b=this.mathml,c=0,d;d=a[c];c++)d=b.indexOf(d),-1!=d&&b.splice(d,1);this.mathml=b};
-sre.SemanticNode.prototype.appendChild=function(a){this.childNodes.push(a);this.addMathmlNodes(a.mathml);a.parent=this};sre.SemanticNode.prototype.replaceChild=function(a,b){var c=this.childNodes.indexOf(a);if(-1!=c){a.parent=null;b.parent=this;this.childNodes[c]=b;c=a.mathml.filter(function(a){return-1==b.mathml.indexOf(a)});var d=b.mathml.filter(function(b){return-1==a.mathml.indexOf(b)});this.removeMathmlNodes_(c);this.addMathmlNodes(d)}};
-sre.SemanticNode.prototype.appendContentNode=function(a){a&&(this.contentNodes.push(a),this.addMathmlNodes(a.mathml),a.parent=this)};sre.SemanticNode.prototype.removeContentNode=function(a){a&&(a=this.contentNodes.indexOf(a),-1!=a&&this.contentNodes.slice(a,1))};
-sre.SemanticNode.prototype.equals=function(a){if(!a||this.type!==a.type||this.role!==a.role||this.textContent!==a.textContent||this.childNodes.length!==a.childNodes.length||this.contentNodes.length!==a.contentNodes.length)return!1;for(var b=0,c,d;c=this.childNodes[b],d=a.childNodes[b];b++)if(!c.equals(d))return!1;for(b=0;c=this.contentNodes[b],d=a.contentNodes[b];b++)if(!c.equals(d))return!1;return!0};
-sre.SemanticNode.prototype.displayTree=function(a){a++;var b=Array(a).join("  ");console.log(b+this.toString());console.log(b+"MathmlTree:");console.log(b+this.mathmlTreeString_());console.log(b+"MathML:");for(var c=0,d;d=this.mathml[c];c++)console.log(b+d.toString());console.log(b+"Begin Content");this.contentNodes.forEach(function(b){b.displayTree(a)});console.log(b+"End Content");console.log(b+"Begin Children");this.childNodes.forEach(function(b){b.displayTree(a)});console.log(b+"End Children")};
-sre.SemanticNode.prototype.mathmlTreeString_=function(){return this.mathmlTree?this.mathmlTree.toString():"EMPTY"};sre.SemanticNodeFactory=function(){this.idCounter_=0};sre.SemanticNodeFactory.prototype.createNode_=function(){return new sre.SemanticNode(this.idCounter_++)};sre.SemanticNodeFactory.prototype.makeUnprocessed=function(a){var b=this.createNode_();b.mathml=[a];return b};sre.SemanticNodeFactory.prototype.makeEmptyNode=function(){var a=this.createNode_();a.type=sre.SemanticAttr.Type.EMPTY;return a};
-sre.SemanticNodeFactory.prototype.makeContentNode=function(a){var b=this.createNode_();b.updateContent(a);return b};sre.SemanticNodeFactory.prototype.makeMultipleContentNodes=function(a,b){for(var c=[],d=0;d<a;d++)c.push(this.makeContentNode(b));return c};sre.SemanticNodeFactory.prototype.makeLeafNode=function(a,b){if(!a)return this.makeEmptyNode();a=this.makeContentNode(a);a.font=b||a.font;return a};
-sre.SemanticNodeFactory.prototype.makeBranchNode=function(a,b,c,d){var e=this.createNode_();d&&e.updateContent(d);e.type=a;e.childNodes=b;e.contentNodes=c;b.concat(c).forEach(function(a){a.parent=e;e.addMathmlNodes(a.mathml)});return e};sre.SemanticParser=function(){};sre.SemanticParser.prototype.parse=function(a){};sre.SemanticParser.prototype.getFactory=function(){};sre.SemanticParser.prototype.setFactory=function(a){};sre.SemanticParser.prototype.getType=function(){};sre.SemanticAbstractParser=function(a){this.type_=a;this.factory_=new sre.SemanticNodeFactory};sre.SemanticAbstractParser.prototype.getFactory=function(){return this.factory_};sre.SemanticAbstractParser.prototype.setFactory=function(a){this.factory_=a};
-sre.SemanticAbstractParser.prototype.getType=function(){return this.type_};sre.SemanticAbstractParser.prototype.parse=goog.abstractMethod;sre.SemanticPred={};sre.SemanticPred.isAttribute=function(a,b){return function(c){c=c[a];a:switch(a){case "role":var d=sre.SemanticAttr.Role[b];break a;case "font":d=sre.SemanticAttr.Font[b];break a;default:d=sre.SemanticAttr.Type[b]}return c===d}};
+UNKNOWN:"unknown"};sre.SemanticAttr.equal=function(a,b){return a.type===b.type&&a.role===b.role&&a.font===b.font};sre.SemanticAttr.prototype.lookupType=function(a){return sre.SemanticAttr.Type.UNKNOWN};sre.SemanticAttr.prototype.lookupRole=function(a){return sre.SemanticAttr.Role.UNKNOWN};sre.SemanticAttr.lookupMeaning=function(a){return sre.SemanticAttr.getInstance().lookupMeaning_(a)};sre.SemanticAttr.invisibleTimes=function(){return sre.SemanticAttr.getInstance().invisibleTimes_};
+sre.SemanticAttr.invisibleComma=function(){return sre.SemanticAttr.getInstance().invisibleComma_};sre.SemanticAttr.functionApplication=function(){return sre.SemanticAttr.getInstance().functionApplication_};sre.SemanticAttr.isMatchingFenceRole=function(a,b){return a==sre.SemanticAttr.Role.OPEN&&b==sre.SemanticAttr.Role.CLOSE||a==sre.SemanticAttr.Role.NEUTRAL&&b==sre.SemanticAttr.Role.NEUTRAL||a==sre.SemanticAttr.Role.TOP&&b==sre.SemanticAttr.Role.BOTTOM};
+sre.SemanticAttr.isMatchingFence=function(a,b){return sre.SemanticAttr.getInstance().isMatchingFence_(a,b)};sre.SemanticAttr.isOpeningFence=function(a){return a==sre.SemanticAttr.Role.OPEN||a==sre.SemanticAttr.Role.NEUTRAL};sre.SemanticAttr.isClosingFence=function(a){return a==sre.SemanticAttr.Role.CLOSE||a==sre.SemanticAttr.Role.NEUTRAL};
+sre.SemanticAttr.isEmbellishedType=function(a){return a===sre.SemanticAttr.Type.OPERATOR||a===sre.SemanticAttr.Type.RELATION||a===sre.SemanticAttr.Type.FENCE||a===sre.SemanticAttr.Type.PUNCTUATION};sre.SemanticAttr.isCharacterD=function(a){return-1!="d \u2146 \uff44 \ud835\udc1d \ud835\udc51 \ud835\udcb9 \ud835\udced \ud835\udd21 \ud835\udd55 \ud835\udd89 \ud835\uddbd \ud835\uddf1 \ud835\ude25 \ud835\ude8d".split(" ").indexOf(a)};
+sre.SemanticAttr.prototype.isMatchingFence_=function(a,b){return-1!=this.neutralFences.indexOf(a)?a==b:this.openClosePairs[a]==b||this.topBottomPairs[a]==b};sre.SemanticAttr.prototype.initMeaning_=function(){for(var a={},b=0,c;c=this.symbolSetToSemantic_[b];b++)c.set.forEach(function(d){a[d]={role:c.role||sre.SemanticAttr.Role.UNKNOWN,type:c.type||sre.SemanticAttr.Type.UNKNOWN,font:c.font||sre.SemanticAttr.Font.UNKNOWN}});return a};
+sre.SemanticAttr.prototype.lookupMeaning_=function(a){return this.meaning_[a]||{role:sre.SemanticAttr.Role.UNKNOWN,type:sre.SemanticAttr.Type.UNKNOWN,font:sre.SemanticAttr.Font.UNKNOWN}};sre.SemanticNode=function(a){this.id=a;this.mathml=[];this.parent=null;this.type=sre.SemanticAttr.Type.UNKNOWN;this.role=sre.SemanticAttr.Role.UNKNOWN;this.font=sre.SemanticAttr.Font.UNKNOWN;this.embellished=null;this.fencePointer="";this.childNodes=[];this.textContent="";this.mathmlTree=null;this.contentNodes=[];this.annotation={};this.attributes={}};
+sre.SemanticNode.prototype.querySelectorAll=function(a){for(var b=[],c=0,d;d=this.childNodes[c];c++)b=b.concat(d.querySelectorAll(a));for(c=0;d=this.contentNodes[c];c++)b=b.concat(d.querySelectorAll(a));a(this)&&b.unshift(this);return b};sre.SemanticNode.Attribute={EMBELLISHED:"embellished",FENCEPOINTER:"fencepointer",FONT:"font",ID:"id",ANNOTATION:"annotation",ROLE:"role",TYPE:"type",CHILDREN:"children",CONTENT:"content",TEXT:"$t"};
+sre.SemanticNode.prototype.xml=function(a,b){var c=function(e,f){f=f.map(function(k){return k.xml(a,b)});e=a.createElementNS("",e);for(var g=0,h;h=f[g];g++)e.appendChild(h);return e},d=a.createElementNS("",this.type);b||this.xmlAttributes_(d);d.textContent=this.textContent;0<this.contentNodes.length&&d.appendChild(c(sre.SemanticNode.Attribute.CONTENT,this.contentNodes));0<this.childNodes.length&&d.appendChild(c(sre.SemanticNode.Attribute.CHILDREN,this.childNodes));return d};
+sre.SemanticNode.prototype.toString=function(a){var b=new sre.SystemExternal.xmldom.XMLSerializer,c=(new sre.SystemExternal.xmldom.DOMParser).parseFromString("<snode/>","text/xml");return b.serializeToString(this.xml(c,a))};sre.SemanticNode.prototype.xmlAttributes_=function(a){for(var b=this.allAttributes(),c=0,d;d=b[c];c++)a.setAttribute(d[0],d[1]);this.addExternalAttributes_(a)};
+sre.SemanticNode.prototype.allAttributes=function(){var a=[];a.push([sre.SemanticNode.Attribute.ROLE,this.role]);this.font!=sre.SemanticAttr.Font.UNKNOWN&&a.push([sre.SemanticNode.Attribute.FONT,this.font]);Object.keys(this.annotation).length&&a.push([sre.SemanticNode.Attribute.ANNOTATION,this.xmlAnnotation()]);this.embellished&&a.push([sre.SemanticNode.Attribute.EMBELLISHED,this.embellished]);this.fencePointer&&a.push([sre.SemanticNode.Attribute.FENCEPOINTER,this.fencePointer]);a.push([sre.SemanticNode.Attribute.ID,
+this.id]);return a};sre.SemanticNode.prototype.addExternalAttributes_=function(a){for(var b in this.attributes)a.setAttribute(b,this.attributes[b])};sre.SemanticNode.prototype.xmlAnnotation=function(){var a=[],b;for(b in this.annotation)this.annotation[b].forEach(function(c){a.push(b+":"+c)});return a.join(";")};
+sre.SemanticNode.prototype.toJson=function(){var a={};a[sre.SemanticNode.Attribute.TYPE]=this.type;for(var b=this.allAttributes(),c=0,d;d=b[c];c++)a[d[0]]=d[1].toString();this.textContent&&(a[sre.SemanticNode.Attribute.TEXT]=this.textContent);this.childNodes.length&&(a[sre.SemanticNode.Attribute.CHILDREN]=this.childNodes.map(function(e){return e.toJson()}));this.contentNodes.length&&(a[sre.SemanticNode.Attribute.CONTENT]=this.contentNodes.map(function(e){return e.toJson()}));return a};
+sre.SemanticNode.prototype.updateContent=function(a,b){b=b?a.replace(/^[ \f\n\r\t\v\u200b]*/,"").replace(/[ \f\n\r\t\v\u200b]*$/,""):a.trim();a=a&&!b?a:b;this.textContent!=a&&(b=sre.SemanticAttr.lookupMeaning(a),this.textContent=a,this.role=b.role,this.type=b.type,this.font=b.font)};sre.SemanticNode.prototype.addMathmlNodes=function(a){for(var b=0,c;c=a[b];b++)-1==this.mathml.indexOf(c)&&this.mathml.push(c)};
+sre.SemanticNode.prototype.removeMathmlNodes_=function(a){for(var b=this.mathml,c=0,d;d=a[c];c++)d=b.indexOf(d),-1!=d&&b.splice(d,1);this.mathml=b};sre.SemanticNode.prototype.appendChild=function(a){this.childNodes.push(a);this.addMathmlNodes(a.mathml);a.parent=this};
+sre.SemanticNode.prototype.replaceChild=function(a,b){var c=this.childNodes.indexOf(a);if(-1!=c){a.parent=null;b.parent=this;this.childNodes[c]=b;c=a.mathml.filter(function(e){return-1==b.mathml.indexOf(e)});var d=b.mathml.filter(function(e){return-1==a.mathml.indexOf(e)});this.removeMathmlNodes_(c);this.addMathmlNodes(d)}};sre.SemanticNode.prototype.appendContentNode=function(a){a&&(this.contentNodes.push(a),this.addMathmlNodes(a.mathml),a.parent=this)};
+sre.SemanticNode.prototype.removeContentNode=function(a){a&&(a=this.contentNodes.indexOf(a),-1!=a&&this.contentNodes.slice(a,1))};
+sre.SemanticNode.prototype.equals=function(a){if(!a||this.type!==a.type||this.role!==a.role||this.textContent!==a.textContent||this.childNodes.length!==a.childNodes.length||this.contentNodes.length!==a.contentNodes.length)return!1;for(var b=0,c,d;c=this.childNodes[b],d=a.childNodes[b];b++)if(!c.equals(d))return!1;for(b=0;c=this.contentNodes[b],d=a.contentNodes[b];b++)if(!c.equals(d))return!1;return!0};sre.SemanticNode.prototype.displayTree=function(){console.info(this.displayTree_(0))};
+sre.SemanticNode.prototype.displayTree_=function(a){a++;var b=Array(a).join("  "),c="";c+="\n"+b+this.toString();c+="\n"+b+"MathmlTree:";c+="\n"+b+this.mathmlTreeString_();c+="\n"+b+"MathML:";for(var d=0,e;e=this.mathml[d];d++)c+="\n"+b+e.toString();c+="\n"+b+"Begin Content";this.contentNodes.forEach(function(f){c+=f.displayTree_(a)});c+="\n"+b+"End Content";c+="\n"+b+"Begin Children";this.childNodes.forEach(function(f){c+=f.displayTree_(a)});return c+="\n"+b+"End Children"};
+sre.SemanticNode.prototype.mathmlTreeString_=function(){return this.mathmlTree?this.mathmlTree.toString():"EMPTY"};sre.SemanticNode.prototype.addAnnotation=function(a,b){b&&this.addAnnotation_(a,b)};sre.SemanticNode.prototype.addAnnotation_=function(a,b){var c=this.annotation[a];c?c.push(b):this.annotation[a]=[b]};sre.SemanticNode.prototype.getAnnotation=function(a){return(a=this.annotation[a])?a:[]};
+sre.SemanticNode.prototype.hasAnnotation=function(a,b){return(a=this.annotation[a])?-1!==a.indexOf(b):!1};sre.SemanticNode.prototype.parseAnnotation=function(a){a=a.split(";");for(var b=0,c=a.length;b<c;b++){var d=a[b].split(":");this.addAnnotation(d[0],d[1])}};sre.SemanticNode.prototype.meaning=function(){return{type:this.type,role:this.role,font:this.font}};sre.SemanticAnnotator=function(a,b){this.domain=a;this.func=b;this.name=a};sre.SemanticAnnotator.prototype.annotate=function(a){a.childNodes.forEach(goog.bind(this.annotate,this));a.addAnnotation(this.domain,this.func(a))};sre.SemanticVisitor=function(a,b,c){this.domain=a;this.func=b;this.name=a;this.def=c||{}};sre.SemanticVisitor.prototype.visit=function(a,b){b=this.func(a,b);a.addAnnotation(this.domain,b[0]);for(var c=0,d;d=a.childNodes[c];c++)b=this.visit(d,b[1]);return b};sre.SemanticAnnotations=function(){this.annotators={};this.visitors={};this.counter=0};goog.addSingletonGetter(sre.SemanticAnnotations);sre.SemanticAnnotations.prototype.register=function(a){a.name=a.domain+this.counter++;(a instanceof sre.SemanticAnnotator?this.annotators:this.visitors)[a.name]=a};sre.SemanticAnnotations.prototype.unregister=function(a){delete this.annotators[a];delete this.visitors[a]};
+sre.SemanticAnnotations.prototype.annotate=function(a){for(var b in this.annotators)this.annotators[b].annotate(a);for(var c in this.visitors)this.visitors[c].visit(a,this.visitors[c].def)};sre.SemanticOrdering=function(){this.comparators=[]};goog.addSingletonGetter(sre.SemanticOrdering);sre.SemanticOrdering.prototype.add=function(a){this.comparators.push(a)};sre.SemanticOrdering.prototype.apply=function(a,b){for(var c=0,d;d=this.comparators[c];c++)if(d=d.compare(a,b),0!==d)return d;return 0};sre.SemanticOrdering.prototype.sort=function(a){a.sort(goog.bind(this.apply,this))};
+sre.SemanticOrdering.prototype.reduce=function(a){if(1>=a.length)return a;a=a.slice();this.sort(a);var b=[];do{var c=a.pop();b.push(c)}while(c&&a.length&&0===this.apply(a[a.length-1],c));return b};sre.SemanticComparator=function(a,b){this.comparator=a;this.type=b||null;sre.SemanticOrdering.getInstance().add(this)};sre.SemanticComparator.prototype.compare=function(a,b){return this.type&&this.type===a.type&&this.type===b.type?this.comparator(a,b):0};
+sre.SemanticOrdering.simpleFunction=function(a,b){return a.role===sre.SemanticAttr.Role.SIMPLEFUNC?1:b.role===sre.SemanticAttr.Role.SIMPLEFUNC?-1:0};new sre.SemanticComparator(sre.SemanticOrdering.simpleFunction,sre.SemanticAttr.Type.IDENTIFIER);sre.SemanticDefault=function(){this.map_={}};sre.SemanticDefault.prototype.add=function(a,b){this.map_[sre.SemanticDefault.key_(a,b.font)]=b};sre.SemanticDefault.prototype.addNode=function(a){this.add(a.textContent,a.meaning())};sre.SemanticDefault.prototype.retrieve=function(a,b){return this.map_[sre.SemanticDefault.key_(a,b)]};sre.SemanticDefault.prototype.retrieveNode=function(a){return this.retrieve(a.textContent,a.font)};sre.SemanticDefault.key_=function(a,b){return b?a+":"+b:a};
+sre.SemanticDefault.prototype.size=function(){return Object.keys(this.map_).length};sre.SemanticCollator_=function(){this.map_={}};sre.SemanticCollator_.prototype.add=function(a,b){a=sre.SemanticDefault.key_(a,b.font);var c=this.map_[a];c?c.push(b):this.map_[a]=[b]};sre.SemanticCollator_.prototype.addNode=function(a){this.add(a.textContent,a)};sre.SemanticCollator_.prototype.retrieve=function(a,b){return this.map_[sre.SemanticDefault.key_(a,b)]};
+sre.SemanticCollator_.prototype.retrieveNode=function(a){return this.retrieve(a.textContent,a.font)};sre.SemanticCollator_.prototype.copyCollator=goog.abstractMethod;sre.SemanticCollator_.prototype.copy=function(){var a=this.copyCollator(),b;for(b in this.map_)a.map_[b]=this.map_[b];return a};sre.SemanticCollator_.prototype.minimize=function(){for(var a in this.map_)1===this.map_[a].length&&delete this.map_[a]};
+sre.SemanticCollator_.prototype.reduce=function(){for(var a in this.map_)1!==this.map_[a].length&&(this.map_[a]=sre.SemanticOrdering.getInstance().reduce(this.map_[a]))};sre.SemanticCollator_.prototype.minimalCollator=function(){var a=this.copy(),b;for(b in a.map_)1===a.map_[b].length&&delete a.map_[b];return a};sre.SemanticCollator_.prototype.isMultiValued=function(){for(var a in this.map_)if(1<this.map_[a].length)return!0;return!1};sre.SemanticCollator_.prototype.isEmpty=function(){return!Object.keys(this.map_).length};
+sre.SemanticNodeCollator=function(){sre.SemanticCollator_.call(this)};goog.inherits(sre.SemanticNodeCollator,sre.SemanticCollator_);sre.SemanticNodeCollator.prototype.copyCollator=function(){return new sre.SemanticNodeCollator};sre.SemanticNodeCollator.prototype.toString=function(){var a=[],b;for(b in this.map_){for(var c=Array(b.length+3).join(" "),d=this.map_[b],e=[],f=0,g;g=d[f];f++)e.push(g.toString());a.push(b+": "+e.join("\n"+c))}return a.join("\n")};
+sre.SemanticNodeCollator.prototype.collateMeaning=function(){var a=new sre.SemanticMeaningCollator,b;for(b in this.map_)a.map_[b]=this.map_[b].map(function(c){return c.meaning()});return a};sre.SemanticMeaningCollator=function(){sre.SemanticCollator_.call(this)};goog.inherits(sre.SemanticMeaningCollator,sre.SemanticCollator_);sre.SemanticMeaningCollator.prototype.copyCollator=function(){return new sre.SemanticMeaningCollator};
+sre.SemanticMeaningCollator.prototype.add=function(a,b){var c=this.retrieve(a,b.font);c&&c.find(function(d){return sre.SemanticAttr.equal(d,b)})||sre.SemanticMeaningCollator.superClass_.add.call(this,a,b)};sre.SemanticMeaningCollator.prototype.addNode=function(a){this.add(a.textContent,a.meaning())};
+sre.SemanticMeaningCollator.prototype.toString=function(){var a=[],b;for(b in this.map_){for(var c=Array(b.length+3).join(" "),d=this.map_[b],e=[],f=0,g;g=d[f];f++)e.push("{type: "+g.type+", role: "+g.role+", font: "+g.font+"}");a.push(b+": "+e.join("\n"+c))}return a.join("\n")};sre.SemanticMeaningCollator.prototype.default=function(){var a=new sre.SemanticDefault,b;for(b in this.map_)1===this.map_[b].length&&(a.map_[b]=this.map_[b][0]);return a};
+sre.SemanticMeaningCollator.prototype.newDefault=function(){var a=this.default();this.reduce();var b=this.default();return a.size()!==b.size()?b:null};sre.SemanticNodeFactory=function(){this.idCounter_=-1;this.leafMap=new sre.SemanticNodeCollator;this.defaultMap=new sre.SemanticDefault};sre.SemanticNodeFactory.prototype.createNode_=function(a){"undefined"!==typeof a?this.idCounter_=Math.max(this.idCounter_,a):a=++this.idCounter_;return new sre.SemanticNode(a)};sre.SemanticNodeFactory.prototype.makeNode=function(a){return this.createNode_(a)};sre.SemanticNodeFactory.prototype.makeUnprocessed=function(a){var b=this.createNode_();b.mathml=[a];return b};
+sre.SemanticNodeFactory.prototype.makeEmptyNode=function(){var a=this.createNode_();a.type=sre.SemanticAttr.Type.EMPTY;return a};sre.SemanticNodeFactory.prototype.makeContentNode=function(a){var b=this.createNode_();b.updateContent(a);return b};sre.SemanticNodeFactory.prototype.makeMultipleContentNodes=function(a,b){for(var c=[],d=0;d<a;d++)c.push(this.makeContentNode(b));return c};
+sre.SemanticNodeFactory.prototype.makeLeafNode=function(a,b){if(!a)return this.makeEmptyNode();a=this.makeContentNode(a);a.font=b||a.font;if(b=this.defaultMap.retrieveNode(a))a.type=b.type,a.role=b.role,a.font=b.font;this.leafMap.addNode(a);return a};sre.SemanticNodeFactory.prototype.makeBranchNode=function(a,b,c,d){var e=this.createNode_();d&&e.updateContent(d);e.type=a;e.childNodes=b;e.contentNodes=c;b.concat(c).forEach(function(f){f.parent=e;e.addMathmlNodes(f.mathml)});return e};sre.SemanticParser=function(){};sre.SemanticParser.prototype.parse=function(a){};sre.SemanticParser.prototype.parseList=function(a){};sre.SemanticParser.prototype.getFactory=function(){};sre.SemanticParser.prototype.setFactory=function(a){};sre.SemanticParser.prototype.getType=function(){};sre.SemanticAbstractParser=function(a){this.type_=a;this.factory_=new sre.SemanticNodeFactory};sre.SemanticAbstractParser.prototype.getFactory=function(){return this.factory_};
+sre.SemanticAbstractParser.prototype.setFactory=function(a){this.factory_=a};sre.SemanticAbstractParser.prototype.getType=function(){return this.type_};sre.SemanticAbstractParser.prototype.parse=goog.abstractMethod;sre.SemanticAbstractParser.prototype.parseList=function(a){for(var b=[],c=0,d;d=a[c];c++)b.push(this.parse(d));return b};sre.SemanticPred={};sre.SemanticPred.isAttribute=function(a,b){return function(c){c=c[a];a:switch(a){case "role":var d=sre.SemanticAttr.Role[b];break a;case "font":d=sre.SemanticAttr.Font[b];break a;default:d=sre.SemanticAttr.Type[b]}return c===d}};
 sre.SemanticPred.isAccent=function(a){return sre.SemanticPred.isAttribute("type","FENCE")(a)||sre.SemanticPred.isAttribute("type","PUNCTUATION")(a)||sre.SemanticPred.isAttribute("type","OPERATOR")(a)||sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)&&sre.SemanticPred.isAttribute("role","UNKNOWN")(a)&&!a.textContent.match(new RegExp(sre.SemanticAttr.getInstance().allLetters.join("|")))};
-sre.SemanticPred.isSimpleFunction=function(a){a=a.childNodes;if(0===a.length)return!0;if(1<a.length)return!1;a=a[0];return a.type!==sre.SemanticAttr.Type.INFIXOP||a.role===sre.SemanticAttr.Role.IMPLICIT&&!a.childNodes.some(sre.SemanticPred.isAttribute("type","INFIXOP"))?!0:!1};sre.SemanticPred.isPrefixFunctionBoundary=function(a){return sre.SemanticPred.isOperator(a)||sre.SemanticPred.isGeneralFunctionBoundary(a)};
-sre.SemanticPred.isIntegralDxBoundary=function(a,b){return!!b&&sre.SemanticPred.isAttribute("type","IDENTIFIER")(b)&&sre.SemanticAttr.isCharacterD(a.textContent)};sre.SemanticPred.isIntegralDxBoundarySingle=function(a){if(sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)){var b=a.textContent[0];return b&&a.textContent[1]&&sre.SemanticAttr.isCharacterD(b)}return!1};sre.SemanticPred.isGeneralFunctionBoundary=function(a){return sre.SemanticPred.isRelation(a)||sre.SemanticPred.isPunctuation(a)};
-sre.SemanticPred.isEmbellished=function(a){return a.embellished?a.embellished:sre.SemanticAttr.isEmbellishedType(a.type)?a.type:null};sre.SemanticPred.isOperator=function(a){return sre.SemanticPred.isAttribute("type","OPERATOR")(a)||sre.SemanticPred.isAttribute("embellished","OPERATOR")(a)};sre.SemanticPred.isRelation=function(a){return sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("embellished","RELATION")(a)};
-sre.SemanticPred.isPunctuation=function(a){return sre.SemanticPred.isAttribute("type","PUNCTUATION")(a)||sre.SemanticPred.isAttribute("embellished","PUNCTUATION")(a)};sre.SemanticPred.isFence=function(a){return sre.SemanticPred.isAttribute("type","FENCE")(a)||sre.SemanticPred.isAttribute("embellished","FENCE")(a)};
-sre.SemanticPred.isElligibleEmbellishedFence=function(a){if(!a||!sre.SemanticPred.isFence(a))return!1;if(!a.embellished)return!0;var b=function(a){return a.embellished?!(!sre.SemanticPred.isAttribute("type","TENSOR")(a)||sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[1])&&sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[2])||sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[3])&&sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[4]))||sre.SemanticPred.isAttribute("role",
-"CLOSE")(a)&&sre.SemanticPred.isAttribute("type","TENSOR")(a)||sre.SemanticPred.isAttribute("role","OPEN")(a)&&(sre.SemanticPred.isAttribute("type","SUBSCRIPT")(a)||sre.SemanticPred.isAttribute("type","SUPERSCRIPT")(a))?!1:b(a.childNodes[0]):!0};return b(a)};sre.SemanticPred.isTableOrMultiline=function(a){return!!a&&(sre.SemanticPred.isAttribute("type","TABLE")(a)||sre.SemanticPred.isAttribute("type","MULTILINE")(a))};
-sre.SemanticPred.tableIsMatrixOrVector=function(a){return!!a&&sre.SemanticPred.isAttribute("type","FENCED")(a)&&(sre.SemanticPred.isAttribute("role","LEFTRIGHT")(a)||sre.SemanticPred.isAttribute("role","NEUTRAL")(a))&&1===a.childNodes.length&&sre.SemanticPred.isTableOrMultiline(a.childNodes[0])};sre.SemanticPred.tableIsCases=function(a,b){return 0<b.length&&sre.SemanticPred.isAttribute("role","OPENFENCE")(b[b.length-1])};
-sre.SemanticPred.tableIsMultiline=function(a){return a.childNodes.every(function(a){return 1>=a.childNodes.length})};sre.SemanticPred.isBinomial=function(a){return 2===a.childNodes.length};
+sre.SemanticPred.isSimpleFunctionScope=function(a){a=a.childNodes;if(0===a.length)return!0;if(1<a.length)return!1;a=a[0];return a.type!==sre.SemanticAttr.Type.INFIXOP||a.role===sre.SemanticAttr.Role.IMPLICIT&&!a.childNodes.some(sre.SemanticPred.isAttribute("type","INFIXOP"))?!0:!1};sre.SemanticPred.isPrefixFunctionBoundary=function(a){return sre.SemanticPred.isOperator(a)||sre.SemanticPred.isAttribute("type","APPL")(a)||sre.SemanticPred.isGeneralFunctionBoundary(a)};
+sre.SemanticPred.isBigOpBoundary=function(a){return sre.SemanticPred.isOperator(a)||sre.SemanticPred.isGeneralFunctionBoundary(a)};sre.SemanticPred.isIntegralDxBoundary=function(a,b){return!!b&&sre.SemanticPred.isAttribute("type","IDENTIFIER")(b)&&sre.SemanticAttr.isCharacterD(a.textContent)};sre.SemanticPred.isIntegralDxBoundarySingle=function(a){if(sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)){var b=a.textContent[0];return b&&a.textContent[1]&&sre.SemanticAttr.isCharacterD(b)}return!1};
+sre.SemanticPred.isGeneralFunctionBoundary=function(a){return sre.SemanticPred.isRelation(a)||sre.SemanticPred.isPunctuation(a)};sre.SemanticPred.isEmbellished=function(a){return a.embellished?a.embellished:sre.SemanticAttr.isEmbellishedType(a.type)?a.type:null};sre.SemanticPred.isOperator=function(a){return sre.SemanticPred.isAttribute("type","OPERATOR")(a)||sre.SemanticPred.isAttribute("embellished","OPERATOR")(a)};
+sre.SemanticPred.isRelation=function(a){return sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("embellished","RELATION")(a)};sre.SemanticPred.isPunctuation=function(a){return sre.SemanticPred.isAttribute("type","PUNCTUATION")(a)||sre.SemanticPred.isAttribute("embellished","PUNCTUATION")(a)};sre.SemanticPred.isFence=function(a){return sre.SemanticPred.isAttribute("type","FENCE")(a)||sre.SemanticPred.isAttribute("embellished","FENCE")(a)};
+sre.SemanticPred.isElligibleEmbellishedFence=function(a){if(!a||!sre.SemanticPred.isFence(a))return!1;if(!a.embellished)return!0;var b=function(c){return c.embellished?!(!sre.SemanticPred.isAttribute("type","TENSOR")(c)||sre.SemanticPred.isAttribute("type","EMPTY")(c.childNodes[1])&&sre.SemanticPred.isAttribute("type","EMPTY")(c.childNodes[2])||sre.SemanticPred.isAttribute("type","EMPTY")(c.childNodes[3])&&sre.SemanticPred.isAttribute("type","EMPTY")(c.childNodes[4]))||sre.SemanticPred.isAttribute("role",
+"CLOSE")(c)&&sre.SemanticPred.isAttribute("type","TENSOR")(c)||sre.SemanticPred.isAttribute("role","OPEN")(c)&&(sre.SemanticPred.isAttribute("type","SUBSCRIPT")(c)||sre.SemanticPred.isAttribute("type","SUPERSCRIPT")(c))?!1:b(c.childNodes[0]):!0};return b(a)};sre.SemanticPred.isTableOrMultiline=function(a){return!!a&&(sre.SemanticPred.isAttribute("type","TABLE")(a)||sre.SemanticPred.isAttribute("type","MULTILINE")(a))};
+sre.SemanticPred.tableIsMatrixOrVector=function(a){return!!a&&sre.SemanticPred.isFencedElement(a)&&sre.SemanticPred.isTableOrMultiline(a.childNodes[0])};sre.SemanticPred.isFencedElement=function(a){return!!a&&sre.SemanticPred.isAttribute("type","FENCED")(a)&&(sre.SemanticPred.isAttribute("role","LEFTRIGHT")(a)||sre.SemanticPred.isAttribute("role","NEUTRAL")(a))&&1===a.childNodes.length};
+sre.SemanticPred.tableIsCases=function(a,b){return 0<b.length&&sre.SemanticPred.isAttribute("role","OPENFENCE")(b[b.length-1])};sre.SemanticPred.tableIsMultiline=function(a){return a.childNodes.every(function(b){return 1>=b.childNodes.length})};sre.SemanticPred.isBinomial=function(a){return 2===a.childNodes.length};
 sre.SemanticPred.isLimitBase=function(a){return sre.SemanticPred.isAttribute("type","LARGEOP")(a)||sre.SemanticPred.isAttribute("type","LIMBOTH")(a)||sre.SemanticPred.isAttribute("type","LIMLOWER")(a)||sre.SemanticPred.isAttribute("type","LIMUPPER")(a)||sre.SemanticPred.isAttribute("type","FUNCTION")(a)&&sre.SemanticPred.isAttribute("role","LIMFUNC")(a)};
-sre.SemanticPred.isSimpleFunctionHead=function(a){return a.type===sre.SemanticAttr.Type.IDENTIFIER||a.role===sre.SemanticAttr.Role.LATINLETTER||a.role===sre.SemanticAttr.Role.GREEKLETTER||a.role===sre.SemanticAttr.Role.OTHERLETTER};sre.SemanticPred.singlePunctAtPosition=function(a,b,c){return 1===b.length&&a[c].type===sre.SemanticAttr.Type.PUNCTUATION&&a[c]===b[0]};sre.SemanticProcessor=function(){this.factory_=new sre.SemanticNodeFactory};goog.addSingletonGetter(sre.SemanticProcessor);sre.SemanticProcessor.prototype.setNodeFactory=function(a){this.factory_=a};
+sre.SemanticPred.isSimpleFunctionHead=function(a){return a.type===sre.SemanticAttr.Type.IDENTIFIER||a.role===sre.SemanticAttr.Role.LATINLETTER||a.role===sre.SemanticAttr.Role.GREEKLETTER||a.role===sre.SemanticAttr.Role.OTHERLETTER};sre.SemanticPred.singlePunctAtPosition=function(a,b,c){return 1===b.length&&(a[c].type===sre.SemanticAttr.Type.PUNCTUATION||a[c].embellished===sre.SemanticAttr.Type.PUNCTUATION)&&a[c]===b[0]};
+sre.SemanticPred.isSimpleFunction=function(a){return sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)&&sre.SemanticPred.isAttribute("role","SIMPLEFUNC")(a)};sre.SemanticPred.isLeftBrace=function(a){var b=["{","\ufe5b","\uff5b"];return!!a&&-1!==b.indexOf(a.textContent)};sre.SemanticPred.isRightBrace=function(a){var b=["}","\ufe5c","\uff5d"];return!!a&&-1!==b.indexOf(a.textContent)};sre.SemanticPred.isSetNode=function(a){return sre.SemanticPred.isLeftBrace(a.contentNodes[0])&&sre.SemanticPred.isRightBrace(a.contentNodes[1])};
+sre.SemanticPred.illegalSingleton_=[sre.SemanticAttr.Type.PUNCTUATION,sre.SemanticAttr.Type.PUNCTUATED,sre.SemanticAttr.Type.RELSEQ,sre.SemanticAttr.Type.MULTIREL,sre.SemanticAttr.Type.TABLE,sre.SemanticAttr.Type.MULTILINE,sre.SemanticAttr.Type.CASES,sre.SemanticAttr.Type.INFERENCE];
+sre.SemanticPred.scriptedElement_=[sre.SemanticAttr.Type.LIMUPPER,sre.SemanticAttr.Type.LIMLOWER,sre.SemanticAttr.Type.LIMBOTH,sre.SemanticAttr.Type.SUBSCRIPT,sre.SemanticAttr.Type.SUPERSCRIPT,sre.SemanticAttr.Type.UNDERSCORE,sre.SemanticAttr.Type.OVERSCORE,sre.SemanticAttr.Type.TENSOR];
+sre.SemanticPred.isSingletonSetContent=function(a){var b=a.type;return-1!==sre.SemanticPred.illegalSingleton_.indexOf(b)||b===sre.SemanticAttr.Type.INFIXOP&&a.role!==sre.SemanticAttr.Role.IMPLICIT?!1:b===sre.SemanticAttr.Type.FENCED?a.role===sre.SemanticAttr.Role.LEFTRIGHT?sre.SemanticPred.isSingletonSetContent(a.childNodes[0]):!0:-1!==sre.SemanticPred.scriptedElement_.indexOf(b)?sre.SemanticPred.isSingletonSetContent(a.childNodes[0]):!0};
+sre.SemanticPred.isNumber=function(a){return a.type===sre.SemanticAttr.Type.NUMBER&&(a.role===sre.SemanticAttr.Role.INTEGER||a.role===sre.SemanticAttr.Role.FLOAT)};sre.SemanticPred.isUnitCounter=function(a){return sre.SemanticPred.isNumber(a)||a.role===sre.SemanticAttr.Role.VULGAR||a.role===sre.SemanticAttr.Role.MIXED};sre.SemanticPred.isPureUnit=function(a){var b=a.childNodes;return a.role===sre.SemanticAttr.Role.UNIT&&(!b.length||b[0].role===sre.SemanticAttr.Role.UNIT)};
+sre.SemanticPred.isImplicit=function(a){return a.role===sre.SemanticAttr.Role.IMPLICIT||a.role===sre.SemanticAttr.Role.UNIT&&!!a.contentNodes.length&&a.contentNodes[0].textContent===sre.SemanticAttr.invisibleTimes()};sre.SemanticProcessor=function(){this.factory_=new sre.SemanticNodeFactory};goog.addSingletonGetter(sre.SemanticProcessor);sre.SemanticProcessor.prototype.setNodeFactory=function(a){this.factory_=a};
 sre.SemanticProcessor.prototype.identifierNode=function(a,b,c){a=sre.SemanticProcessor.getInstance().factory_.makeLeafNode(a,b);if("MathML-Unit"===c)a.type=sre.SemanticAttr.Type.IDENTIFIER,a.role=sre.SemanticAttr.Role.UNIT;else if(!b&&1===a.textContent.length&&(a.role===sre.SemanticAttr.Role.INTEGER||a.role===sre.SemanticAttr.Role.LATINLETTER||a.role===sre.SemanticAttr.Role.GREEKLETTER)&&a.font===sre.SemanticAttr.Font.NORMAL)return a.font=sre.SemanticAttr.Font.ITALIC,a;a.type===sre.SemanticAttr.Type.UNKNOWN&&
-(a.type=sre.SemanticAttr.Type.IDENTIFIER);sre.SemanticProcessor.exprFont_(a);return a};
-sre.SemanticProcessor.prototype.implicitNode_=function(a){a=sre.SemanticProcessor.getInstance().getMixedNumbers_(a);a=sre.SemanticProcessor.getInstance().combineUnits_(a);if(1===a.length)return a[0];var b=sre.SemanticProcessor.getInstance().factory_.makeMultipleContentNodes(a.length-1,sre.SemanticAttr.invisibleTimes()),c=sre.SemanticProcessor.getInstance().infixNode_(a,b[0]);c.role=sre.SemanticAttr.Role.IMPLICIT;b.forEach(function(a){a.parent=c});c.contentNodes=b;return c};
-sre.SemanticProcessor.prototype.infixNode_=function(a,b){a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.INFIXOP,a,[b],sre.SemanticProcessor.getEmbellishedInner_(b).textContent);a.role=b.role;return a};
-sre.SemanticProcessor.prototype.concatNode_=function(a,b,c){if(0===b.length)return a;var d=b.map(function(a){return sre.SemanticProcessor.getEmbellishedInner_(a).textContent}).join(" ");a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(c,[a],b,d);1<b.length&&(a.role=sre.SemanticAttr.Role.MULTIOP);return a};
-sre.SemanticProcessor.prototype.prefixNode_=function(a,b){b=sre.SemanticProcessor.partitionNodes_(b,sre.SemanticPred.isAttribute("role","SUBTRACTION"));for(a=sre.SemanticProcessor.getInstance().concatNode_(a,b.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);0<b.rel.length;)a=sre.SemanticProcessor.getInstance().concatNode_(a,[b.rel.pop()],sre.SemanticAttr.Type.PREFIXOP),a.role=sre.SemanticAttr.Role.NEGATIVE,a=sre.SemanticProcessor.getInstance().concatNode_(a,b.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);
-return a};sre.SemanticProcessor.prototype.postfixNode_=function(a,b){return b.length?sre.SemanticProcessor.getInstance().concatNode_(a,b,sre.SemanticAttr.Type.POSTFIXOP):a};sre.SemanticProcessor.prototype.text=function(a,b,c){a=sre.SemanticProcessor.getInstance().factory_.makeLeafNode(a,b);a.type=sre.SemanticAttr.Type.TEXT;"MS"===c&&(a.role=sre.SemanticAttr.Role.STRING);sre.SemanticProcessor.exprFont_(a);return a};
-sre.SemanticProcessor.prototype.row=function(a){a=a.filter(function(a){return!sre.SemanticPred.isAttribute("type","EMPTY")(a)});if(0===a.length)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();a=sre.SemanticProcessor.getInstance().getFencesInRow_(a);a=sre.SemanticProcessor.getInstance().tablesInRow(a);a=sre.SemanticProcessor.getInstance().getPunctuationInRow_(a);a=sre.SemanticProcessor.getInstance().getTextInRow_(a);a=sre.SemanticProcessor.getInstance().getFunctionsInRow_(a);return sre.SemanticProcessor.getInstance().relationsInRow_(a)};
-sre.SemanticProcessor.prototype.combineUnits_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,function(a){return!sre.SemanticPred.isAttribute("role","UNIT")(a)});if(a.length===b.rel.length)return b.rel;a=[];do{var c=b.comp.shift(),d=b.rel.shift();1===c.length&&(a=a.concat(c));if(1<c.length){var e=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.invisibleTimes());c=sre.SemanticProcessor.getInstance().infixNode_(c,e);c.role=sre.SemanticAttr.Role.UNIT;a.push(c)}d&&
-a.push(d)}while(d);return a};
-sre.SemanticProcessor.prototype.getMixedNumbers_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,function(a){return sre.SemanticPred.isAttribute("type","FRACTION")(a)&&sre.SemanticPred.isAttribute("role","VULGAR")(a)});if(!b.rel.length)return a;a=[];for(var c=0,d;d=b.rel[c];c++){var e=b.comp[c],f=e.length-1;e[f]&&sre.SemanticPred.isAttribute("type","NUMBER")(e[f])&&sre.SemanticPred.isAttribute("role","INTEGER")(e[f])?(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.NUMBER,[e[f],
+(a.type=sre.SemanticAttr.Type.IDENTIFIER);sre.SemanticProcessor.exprFont_(a);return a};sre.SemanticProcessor.prototype.implicitNode_=function(a){var b=sre.SemanticProcessor.getInstance().factory_.makeMultipleContentNodes(a.length-1,sre.SemanticAttr.invisibleTimes()),c=sre.SemanticProcessor.getInstance().infixNode_(a,b[0]);c.role=sre.SemanticAttr.Role.IMPLICIT;b.forEach(function(d){d.parent=c});c.contentNodes=b;return c};
+sre.SemanticProcessor.prototype.implicitNode=function(a){a=sre.SemanticProcessor.getInstance().getMixedNumbers_(a);a=sre.SemanticProcessor.getInstance().combineUnits_(a);return 1===a.length?a[0]:sre.SemanticProcessor.getInstance().implicitNode_(a)};
+sre.SemanticProcessor.prototype.infixNode_=function(a,b){a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.INFIXOP,a,[b],sre.SemanticProcessor.getEmbellishedInner_(b).textContent);a.role=b.role;this.propagateSimpleFunction(a);return a};
+sre.SemanticProcessor.prototype.concatNode_=function(a,b,c){if(0===b.length)return a;var d=b.map(function(e){return sre.SemanticProcessor.getEmbellishedInner_(e).textContent}).join(" ");a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(c,[a],b,d);1<b.length&&(a.role=sre.SemanticAttr.Role.MULTIOP);return a};
+sre.SemanticProcessor.prototype.prefixNode_=function(a,b){b=sre.SemanticProcessor.partitionNodes_(b,sre.SemanticPred.isAttribute("role","SUBTRACTION"));a=sre.SemanticProcessor.getInstance().concatNode_(a,b.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);1===a.contentNodes.length&&a.contentNodes[0].role===sre.SemanticAttr.Role.ADDITION&&"+"===a.contentNodes[0].textContent&&(a.role=sre.SemanticAttr.Role.POSITIVE);for(;0<b.rel.length;)a=sre.SemanticProcessor.getInstance().concatNode_(a,[b.rel.pop()],sre.SemanticAttr.Type.PREFIXOP),
+a.role=sre.SemanticAttr.Role.NEGATIVE,a=sre.SemanticProcessor.getInstance().concatNode_(a,b.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);return a};sre.SemanticProcessor.prototype.postfixNode_=function(a,b){return b.length?sre.SemanticProcessor.getInstance().concatNode_(a,b,sre.SemanticAttr.Type.POSTFIXOP):a};
+sre.SemanticProcessor.prototype.text=function(a,b,c){if(!a)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();b=sre.SemanticProcessor.getInstance().factory_.makeLeafNode(a,b);b.updateContent(a,!0);b.type=sre.SemanticAttr.Type.TEXT;"MS"===c&&(b.role=sre.SemanticAttr.Role.STRING);sre.SemanticProcessor.exprFont_(b);return b};
+sre.SemanticProcessor.prototype.row=function(a){a=a.filter(function(b){return!sre.SemanticPred.isAttribute("type","EMPTY")(b)});if(0===a.length)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();a=sre.SemanticProcessor.getInstance().getFencesInRow_(a);a=sre.SemanticProcessor.getInstance().tablesInRow(a);a=sre.SemanticProcessor.getInstance().getPunctuationInRow_(a);a=sre.SemanticProcessor.getInstance().getTextInRow_(a);a=sre.SemanticProcessor.getInstance().getFunctionsInRow_(a);return sre.SemanticProcessor.getInstance().relationsInRow_(a)};
+sre.SemanticProcessor.prototype.combineUnits_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,function(g){return!sre.SemanticPred.isAttribute("role","UNIT")(g)});if(a.length===b.rel.length)return b.rel;a=[];do{var c=b.comp.shift(),d=b.rel.shift(),e=null,f=a.pop();f&&(c.length&&sre.SemanticPred.isUnitCounter(f)?c.unshift(f):a.push(f));1===c.length&&(e=c.pop());1<c.length&&(e=sre.SemanticProcessor.getInstance().implicitNode_(c),e.role=sre.SemanticAttr.Role.UNIT);e&&a.push(e);d&&a.push(d)}while(d);
+return a};
+sre.SemanticProcessor.prototype.getMixedNumbers_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,function(g){return sre.SemanticPred.isAttribute("type","FRACTION")(g)&&sre.SemanticPred.isAttribute("role","VULGAR")(g)});if(!b.rel.length)return a;a=[];for(var c=0,d;d=b.rel[c];c++){var e=b.comp[c],f=e.length-1;e[f]&&sre.SemanticPred.isAttribute("type","NUMBER")(e[f])&&sre.SemanticPred.isAttribute("role","INTEGER")(e[f])?(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.NUMBER,[e[f],
 d],[]),d.role=sre.SemanticAttr.Role.MIXED,a=a.concat(e.slice(0,f)),a.push(d)):(a=a.concat(e),a.push(d))}return a.concat(b.comp[b.comp.length-1])};
 sre.SemanticProcessor.prototype.getTextInRow_=function(a){if(1>=a.length)return a;var b=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isAttribute("type","TEXT"));if(0===b.rel.length)return a;a=[];var c=b.comp[0];0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));for(var d=0;c=b.rel[d];d++)a.push(c),c=b.comp[d+1],0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));return[sre.SemanticProcessor.getInstance().dummyNode_(a)]};
-sre.SemanticProcessor.prototype.relationsInRow_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isRelation),c=b.rel[0];if(!c)return sre.SemanticProcessor.getInstance().operationsInRow_(a);if(1===a.length)return a[0];a=b.comp.map(goog.bind(sre.SemanticProcessor.getInstance().operationsInRow_,this));if(b.rel.some(function(a){return!a.equals(c)}))return a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.MULTIREL,a,b.rel),b.rel.every(function(a){return a.role===
+sre.SemanticProcessor.prototype.relationsInRow_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isRelation),c=b.rel[0];if(!c)return sre.SemanticProcessor.getInstance().operationsInRow_(a);if(1===a.length)return a[0];a=b.comp.map(goog.bind(sre.SemanticProcessor.getInstance().operationsInRow_,this));if(b.rel.some(function(d){return!d.equals(c)}))return a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.MULTIREL,a,b.rel),b.rel.every(function(d){return d.role===
 c.role})&&(a.role=c.role),a;a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.RELSEQ,a,b.rel,sre.SemanticProcessor.getEmbellishedInner_(c).textContent);a.role=c.role;return a};
-sre.SemanticProcessor.prototype.operationsInRow_=function(a){if(0===a.length)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();if(1===a.length)return a[0];for(var b=[];0<a.length&&sre.SemanticPred.isOperator(a[0]);)b.push(a.shift());if(0===a.length)return sre.SemanticProcessor.getInstance().prefixNode_(b.pop(),b);if(1===a.length)return sre.SemanticProcessor.getInstance().prefixNode_(a[0],b);a=sre.SemanticProcessor.sliceNodes_(a,sre.SemanticPred.isOperator);b=sre.SemanticProcessor.getInstance().prefixNode_(sre.SemanticProcessor.getInstance().implicitNode_(a.head),
+sre.SemanticProcessor.prototype.operationsInRow_=function(a){if(0===a.length)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();if(1===a.length)return a[0];for(var b=[];0<a.length&&sre.SemanticPred.isOperator(a[0]);)b.push(a.shift());if(0===a.length)return sre.SemanticProcessor.getInstance().prefixNode_(b.pop(),b);if(1===a.length)return sre.SemanticProcessor.getInstance().prefixNode_(a[0],b);a=sre.SemanticProcessor.sliceNodes_(a,sre.SemanticPred.isOperator);b=sre.SemanticProcessor.getInstance().prefixNode_(sre.SemanticProcessor.getInstance().implicitNode(a.head),
 b);return a.div?sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,a.div):b};
-sre.SemanticProcessor.prototype.operationsTree_=function(a,b,c,d){d=d||[];if(0===a.length)return d.unshift(c),b.type===sre.SemanticAttr.Type.INFIXOP?(d=sre.SemanticProcessor.getInstance().postfixNode_(b.childNodes.pop(),d),b.appendChild(d),b):sre.SemanticProcessor.getInstance().postfixNode_(b,d);a=sre.SemanticProcessor.sliceNodes_(a,sre.SemanticPred.isOperator);if(0===a.head.length)return d.push(a.div),sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,c,d);d=sre.SemanticProcessor.getInstance().prefixNode_(sre.SemanticProcessor.getInstance().implicitNode_(a.head),
+sre.SemanticProcessor.prototype.operationsTree_=function(a,b,c,d){d=d||[];if(0===a.length)return d.unshift(c),b.type===sre.SemanticAttr.Type.INFIXOP?(d=sre.SemanticProcessor.getInstance().postfixNode_(b.childNodes.pop(),d),b.appendChild(d),b):sre.SemanticProcessor.getInstance().postfixNode_(b,d);a=sre.SemanticProcessor.sliceNodes_(a,sre.SemanticPred.isOperator);if(0===a.head.length)return d.push(a.div),sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,c,d);d=sre.SemanticProcessor.getInstance().prefixNode_(sre.SemanticProcessor.getInstance().implicitNode(a.head),
 d);b=sre.SemanticProcessor.getInstance().appendOperand_(b,c,d);return a.div?sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,a.div,[]):b};
-sre.SemanticProcessor.prototype.appendOperand_=function(a,b,c){return a.type!==sre.SemanticAttr.Type.INFIXOP?sre.SemanticProcessor.getInstance().infixNode_([a,c],b):sre.SemanticProcessor.getInstance().appendExistingOperator_(a,b,c)?a:b.role===sre.SemanticAttr.Role.MULTIPLICATION?sre.SemanticProcessor.getInstance().appendMultiplicativeOp_(a,b,c):sre.SemanticProcessor.getInstance().appendAdditiveOp_(a,b,c)};
-sre.SemanticProcessor.prototype.appendMultiplicativeOp_=function(a,b,c){if(a.role===sre.SemanticAttr.Role.IMPLICIT)return sre.SemanticProcessor.getInstance().infixNode_([a,c],b);for(var d=a,e=a.childNodes[a.childNodes.length-1];e&&e.type===sre.SemanticAttr.Type.INFIXOP;)d=e,e=d.childNodes[a.childNodes.length-1];b=sre.SemanticProcessor.getInstance().infixNode_([d.childNodes.pop(),c],b);d.appendChild(b);return a};
-sre.SemanticProcessor.prototype.appendAdditiveOp_=function(a,b,c){return sre.SemanticProcessor.getInstance().infixNode_([a,c],b)};sre.SemanticProcessor.prototype.appendExistingOperator_=function(a,b,c){return a&&a.type===sre.SemanticAttr.Type.INFIXOP&&a.role!==sre.SemanticAttr.Role.IMPLICIT?a.contentNodes[0].equals(b)?(a.appendContentNode(b),a.appendChild(c),!0):sre.SemanticProcessor.getInstance().appendExistingOperator_(a.childNodes[a.childNodes.length-1],b,c):!1};
+sre.SemanticProcessor.prototype.appendOperand_=function(a,b,c){if(a.type!==sre.SemanticAttr.Type.INFIXOP)return sre.SemanticProcessor.getInstance().infixNode_([a,c],b);var d=this.appendDivisionOp_(a,b,c);return d?d:sre.SemanticProcessor.getInstance().appendExistingOperator_(a,b,c)?a:b.role===sre.SemanticAttr.Role.MULTIPLICATION?sre.SemanticProcessor.getInstance().appendMultiplicativeOp_(a,b,c):sre.SemanticProcessor.getInstance().appendAdditiveOp_(a,b,c)};
+sre.SemanticProcessor.prototype.appendDivisionOp_=function(a,b,c){return b.role===sre.SemanticAttr.Role.DIVISION?sre.SemanticPred.isImplicit(a)?sre.SemanticProcessor.getInstance().infixNode_([a,c],b):this.appendLastOperand_(a,b,c):a.role===sre.SemanticAttr.Role.DIVISION?this.infixNode_([a,c],b):null};
+sre.SemanticProcessor.prototype.appendLastOperand_=function(a,b,c){for(var d=a,e=a.childNodes[a.childNodes.length-1];e&&e.type===sre.SemanticAttr.Type.INFIXOP&&!sre.SemanticPred.isImplicit(e);)d=e,e=d.childNodes[a.childNodes.length-1];b=sre.SemanticProcessor.getInstance().infixNode_([d.childNodes.pop(),c],b);d.appendChild(b);return a};
+sre.SemanticProcessor.prototype.appendMultiplicativeOp_=function(a,b,c){if(sre.SemanticPred.isImplicit(a))return sre.SemanticProcessor.getInstance().infixNode_([a,c],b);for(var d=a,e=a.childNodes[a.childNodes.length-1];e&&e.type===sre.SemanticAttr.Type.INFIXOP&&!sre.SemanticPred.isImplicit(e);)d=e,e=d.childNodes[a.childNodes.length-1];b=sre.SemanticProcessor.getInstance().infixNode_([d.childNodes.pop(),c],b);d.appendChild(b);return a};
+sre.SemanticProcessor.prototype.appendAdditiveOp_=function(a,b,c){return sre.SemanticProcessor.getInstance().infixNode_([a,c],b)};sre.SemanticProcessor.prototype.appendExistingOperator_=function(a,b,c){return!a||a.type!==sre.SemanticAttr.Type.INFIXOP||sre.SemanticPred.isImplicit(a)?!1:a.contentNodes[0].equals(b)?(a.appendContentNode(b),a.appendChild(c),!0):sre.SemanticProcessor.getInstance().appendExistingOperator_(a.childNodes[a.childNodes.length-1],b,c)};
 sre.SemanticProcessor.prototype.getFencesInRow_=function(a){a=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isFence);a=sre.SemanticProcessor.purgeFences_(a);var b=a.comp.shift();return sre.SemanticProcessor.getInstance().fences_(a.rel,a.comp,[],[b])};
 sre.SemanticProcessor.prototype.fences_=function(a,b,c,d){if(0===a.length&&0===c.length)return d[0];var e=sre.SemanticPred.isAttribute("role","OPEN");if(0===a.length){for(a=d.shift();0<c.length;){if(e(c[0]))b=c.shift(),sre.SemanticProcessor.fenceToPunct_(b),a.push(b);else{c=sre.SemanticProcessor.sliceNodes_(c,e);var f=c.head.length-1,g=sre.SemanticProcessor.getInstance().neutralFences_(c.head,d.slice(0,f));d=d.slice(f);a.push.apply(a,g);c.div&&c.tail.unshift(c.div);c=c.tail}a.push.apply(a,d.shift())}return a}f=
 c[c.length-1];g=a[0].role;if(g===sre.SemanticAttr.Role.OPEN||g===sre.SemanticAttr.Role.NEUTRAL&&(!f||a[0].textContent!==f.textContent))return c.push(a.shift()),(e=b.shift())&&d.push(e),sre.SemanticProcessor.getInstance().fences_(a,b,c,d);if(f&&(g===sre.SemanticAttr.Role.CLOSE&&f.role===sre.SemanticAttr.Role.OPEN||g===sre.SemanticAttr.Role.NEUTRAL&&a[0].textContent===f.textContent))return e=sre.SemanticProcessor.getInstance().horizontalFencedNode_(c.pop(),a.shift(),d.pop()),d.push(d.pop().concat([e],
 b.shift())),sre.SemanticProcessor.getInstance().fences_(a,b,c,d);if(f&&g===sre.SemanticAttr.Role.CLOSE&&f.role===sre.SemanticAttr.Role.NEUTRAL&&c.some(e))return c=sre.SemanticProcessor.sliceNodes_(c,e,!0),e=d.pop(),f=d.length-c.tail.length+1,g=sre.SemanticProcessor.getInstance().neutralFences_(c.tail,d.slice(f)),d=d.slice(0,f),e=sre.SemanticProcessor.getInstance().horizontalFencedNode_(c.div,a.shift(),d.pop().concat(g,e)),d.push(d.pop().concat([e],b.shift())),sre.SemanticProcessor.getInstance().fences_(a,
 b,c.head,d);e=a.shift();sre.SemanticProcessor.fenceToPunct_(e);d.push(d.pop().concat([e],b.shift()));return sre.SemanticProcessor.getInstance().fences_(a,b,c,d)};
-sre.SemanticProcessor.prototype.neutralFences_=function(a,b){if(0===a.length)return a;if(1===a.length)return sre.SemanticProcessor.fenceToPunct_(a[0]),a;var c=a.shift(),d=sre.SemanticProcessor.sliceNodes_(a,function(a){return sre.SemanticProcessor.getEmbellishedInner_(a).textContent==sre.SemanticProcessor.getEmbellishedInner_(c).textContent});if(!d.div)return sre.SemanticProcessor.fenceToPunct_(c),d=b.shift(),d.unshift(c),d.concat(sre.SemanticProcessor.getInstance().neutralFences_(a,b));b=sre.SemanticProcessor.getInstance().combineFencedContent_(c,
+sre.SemanticProcessor.prototype.neutralFences_=function(a,b){if(0===a.length)return a;if(1===a.length)return sre.SemanticProcessor.fenceToPunct_(a[0]),a;var c=a.shift(),d=sre.SemanticProcessor.sliceNodes_(a,function(e){return sre.SemanticProcessor.getEmbellishedInner_(e).textContent==sre.SemanticProcessor.getEmbellishedInner_(c).textContent});if(!d.div)return sre.SemanticProcessor.fenceToPunct_(c),d=b.shift(),d.unshift(c),d.concat(sre.SemanticProcessor.getInstance().neutralFences_(a,b));b=sre.SemanticProcessor.getInstance().combineFencedContent_(c,
 d.div,d.head,b);return 0<d.tail.length?(a=b.shift(),d=sre.SemanticProcessor.getInstance().neutralFences_(d.tail,b),a.concat(d)):b[0]};
 sre.SemanticProcessor.prototype.combineFencedContent_=function(a,b,c,d){if(0===c.length)return a=sre.SemanticProcessor.getInstance().horizontalFencedNode_(a,b,d.shift()),0<d.length?d[0].unshift(a):d=[[a]],d;var e=d.shift(),f=c.length-1,g=d.slice(0,f);d=d.slice(f);f=d.shift();c=sre.SemanticProcessor.getInstance().neutralFences_(c,g);e.push.apply(e,c);e.push.apply(e,f);a=sre.SemanticProcessor.getInstance().horizontalFencedNode_(a,b,e);0<d.length?d[0].unshift(a):d=[[a]];return d};
 sre.SemanticProcessor.FENCE_TO_PUNCT_={};sre.SemanticProcessor.FENCE_TO_PUNCT_[sre.SemanticAttr.Role.NEUTRAL]=sre.SemanticAttr.Role.VBAR;sre.SemanticProcessor.FENCE_TO_PUNCT_[sre.SemanticAttr.Role.OPEN]=sre.SemanticAttr.Role.OPENFENCE;sre.SemanticProcessor.FENCE_TO_PUNCT_[sre.SemanticAttr.Role.CLOSE]=sre.SemanticAttr.Role.CLOSEFENCE;
 sre.SemanticProcessor.fenceToPunct_=function(a){var b=sre.SemanticProcessor.FENCE_TO_PUNCT_[a.role];if(b){for(;a.embellished;)a.embellished=sre.SemanticAttr.Type.PUNCTUATION,a.role=b,a=a.childNodes[0];a.type=sre.SemanticAttr.Type.PUNCTUATION;a.role=b}};
-sre.SemanticProcessor.prototype.horizontalFencedNode_=function(a,b,c){c=sre.SemanticProcessor.getInstance().row(c);b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.FENCED,[c],[a,b]);b.role=a.role===sre.SemanticAttr.Role.OPEN?sre.SemanticAttr.Role.LEFTRIGHT:a.role;return sre.SemanticProcessor.rewriteFencedNode_(b)};
-sre.SemanticProcessor.prototype.getPunctuationInRow_=function(a){if(1>=a.length)return a;var b=sre.SemanticProcessor.partitionNodes_(a,function(a){return sre.SemanticPred.isPunctuation(a)&&!sre.SemanticPred.isAttribute("role","ELLIPSIS")(a)});if(0===b.rel.length)return a;a=[];var c=b.comp.shift();0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));for(var d=0;0<b.comp.length;)a.push(b.rel[d++]),c=b.comp.shift(),0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));return[sre.SemanticProcessor.getInstance().punctuatedNode_(a,
-b.rel)]};
-sre.SemanticProcessor.prototype.punctuatedNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.PUNCTUATED,a,b);if(b.length===a.length){var d=b[0].role;if(d!==sre.SemanticAttr.Role.UNKNOWN&&b.every(function(a){return a.role===d}))return c.role=d,c}sre.SemanticPred.singlePunctAtPosition(a,b,0)?c.role=sre.SemanticAttr.Role.STARTPUNCT:sre.SemanticPred.singlePunctAtPosition(a,b,a.length-1)?c.role=sre.SemanticAttr.Role.ENDPUNCT:b.every(sre.SemanticPred.isAttribute("role","DUMMY"))?
-c.role=sre.SemanticAttr.Role.TEXT:c.role=sre.SemanticAttr.Role.SEQUENCE;return c};sre.SemanticProcessor.prototype.dummyNode_=function(a){var b=sre.SemanticProcessor.getInstance().factory_.makeMultipleContentNodes(a.length-1,sre.SemanticAttr.invisibleComma());b.forEach(function(a){a.role=sre.SemanticAttr.Role.DUMMY});return sre.SemanticProcessor.getInstance().punctuatedNode_(a,b)};
+sre.SemanticProcessor.prototype.horizontalFencedNode_=function(a,b,c){c=sre.SemanticProcessor.getInstance().row(c);b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.FENCED,[c],[a,b]);a.role===sre.SemanticAttr.Role.OPEN?(this.classifyHorizontalFence_(b),this.propagateComposedFunction(b)):b.role=a.role;return sre.SemanticProcessor.rewriteFencedNode_(b)};
+sre.SemanticProcessor.prototype.classifyHorizontalFence_=function(a){a.role=sre.SemanticAttr.Role.LEFTRIGHT;var b=a.childNodes;if(sre.SemanticPred.isSetNode(a)&&!(1<b.length))if(0===b.length||b[0].type===sre.SemanticAttr.Type.EMPTY)a.role=sre.SemanticAttr.Role.SETEMPTY;else{var c=b[0].type;if(1===b.length&&sre.SemanticPred.isSingletonSetContent(b[0]))a.role=sre.SemanticAttr.Role.SETSINGLE;else{var d=b[0].role;c===sre.SemanticAttr.Type.PUNCTUATED&&d===sre.SemanticAttr.Role.SEQUENCE&&(b[0].contentNodes[0].role===
+sre.SemanticAttr.Role.COMMA?a.role=sre.SemanticAttr.Role.SETCOLLECT:1!==b[0].contentNodes.length||b[0].contentNodes[0].role!==sre.SemanticAttr.Role.VBAR&&b[0].contentNodes[0].role!==sre.SemanticAttr.Role.COLON||(a.role=sre.SemanticAttr.Role.SETEXT,this.setExtension_(a)))}}};
+sre.SemanticProcessor.prototype.setExtension_=function(a){(a=a.childNodes[0].childNodes[0])&&a.type===sre.SemanticAttr.Type.INFIXOP&&1===a.contentNodes.length&&a.contentNodes[0].role===sre.SemanticAttr.Role.UNKNOWN&&(a.contentNodes[0].role=sre.SemanticAttr.Role.SETEXT)};
+sre.SemanticProcessor.prototype.getPunctuationInRow_=function(a){if(1>=a.length)return a;var b=function(g){g=g.type;return"punctuation"===g||"text"===g||"operator"===g||"relation"===g},c=sre.SemanticProcessor.partitionNodes_(a,function(g){if(!sre.SemanticPred.isPunctuation(g))return!1;if(sre.SemanticPred.isPunctuation(g)&&!sre.SemanticPred.isAttribute("role","ELLIPSIS")(g))return!0;var h=a.indexOf(g);if(0===h)return a[1]&&b(a[1])?!1:!0;g=a[h-1];if(h===a.length-1)return b(g)?!1:!0;h=a[h+1];return b(g)&&
+b(h)?!1:!0});if(0===c.rel.length)return a;var d=[],e=c.comp.shift();0<e.length&&d.push(sre.SemanticProcessor.getInstance().row(e));for(var f=0;0<c.comp.length;)d.push(c.rel[f++]),e=c.comp.shift(),0<e.length&&d.push(sre.SemanticProcessor.getInstance().row(e));return[sre.SemanticProcessor.getInstance().punctuatedNode_(d,c.rel)]};
+sre.SemanticProcessor.prototype.punctuatedNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.PUNCTUATED,a,b);if(b.length===a.length){var d=b[0].role;if(d!==sre.SemanticAttr.Role.UNKNOWN&&b.every(function(e){return e.role===d}))return c.role=d,c}sre.SemanticPred.singlePunctAtPosition(a,b,0)?c.role=sre.SemanticAttr.Role.STARTPUNCT:sre.SemanticPred.singlePunctAtPosition(a,b,a.length-1)?c.role=sre.SemanticAttr.Role.ENDPUNCT:b.every(sre.SemanticPred.isAttribute("role",
+"DUMMY"))?c.role=sre.SemanticAttr.Role.TEXT:c.role=sre.SemanticAttr.Role.SEQUENCE;return c};sre.SemanticProcessor.prototype.dummyNode_=function(a){var b=sre.SemanticProcessor.getInstance().factory_.makeMultipleContentNodes(a.length-1,sre.SemanticAttr.invisibleComma());b.forEach(function(c){c.role=sre.SemanticAttr.Role.DUMMY});return sre.SemanticProcessor.getInstance().punctuatedNode_(a,b)};
 sre.SemanticProcessor.MML_TO_LIMIT_={MSUB:sre.SemanticAttr.Type.LIMLOWER,MUNDER:sre.SemanticAttr.Type.LIMLOWER,MSUP:sre.SemanticAttr.Type.LIMUPPER,MOVER:sre.SemanticAttr.Type.LIMUPPER,MSUBSUP:sre.SemanticAttr.Type.LIMBOTH,MUNDEROVER:sre.SemanticAttr.Type.LIMBOTH};
 sre.SemanticProcessor.prototype.limitNode=function(a,b){var c=b[0];if(sre.SemanticPred.isLimitBase(c))a=sre.SemanticProcessor.MML_TO_LIMIT_[a];else switch(a){case "MSUB":a=sre.SemanticAttr.Type.SUBSCRIPT;break;case "MSUP":a=sre.SemanticAttr.Type.SUPERSCRIPT;break;case "MSUBSUP":var d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.SUBSCRIPT,[c,b[1]],[]);d.role=sre.SemanticAttr.Role.SUBSUP;b=[d,b[2]];a=sre.SemanticAttr.Type.SUPERSCRIPT;break;case "MOVER":a=sre.SemanticAttr.Type.OVERSCORE;
 sre.SemanticPred.isAccent(b[1])&&(b[1].role=sre.SemanticAttr.Role.OVERACCENT);break;case "MUNDER":a=sre.SemanticAttr.Type.UNDERSCORE;sre.SemanticPred.isAccent(b[1])&&(b[1].role=sre.SemanticAttr.Role.UNDERACCENT);break;default:d=sre.SemanticPred.isAccent(b[1]),a=sre.SemanticPred.isAccent(b[2]),d&&(b[1].role=sre.SemanticAttr.Role.UNDERACCENT),a&&(b[2].role=sre.SemanticAttr.Role.OVERACCENT),a&&!d?(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.OVERSCORE,[c,b[2]],
 []),b=[d,b[1]],a=sre.SemanticAttr.Type.UNDERSCORE):(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.UNDERSCORE,[c,b[1]],[]),b=[d,b[2]],a=sre.SemanticAttr.Type.OVERSCORE),d.role=sre.SemanticAttr.Role.UNDEROVER}b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(a,b,[]);a=sre.SemanticPred.isEmbellished(c);d&&(d.embellished=a);b.embellished=a;b.role=c.role;return b};
 sre.SemanticProcessor.prototype.getFunctionsInRow_=function(a,b){b=b||[];if(0===a.length)return b;var c=a.shift(),d=sre.SemanticProcessor.classifyFunction_(c,a);if(!d)return b.push(c),sre.SemanticProcessor.getInstance().getFunctionsInRow_(a,b);a=sre.SemanticProcessor.getInstance().getFunctionsInRow_(a,[]);a=sre.SemanticProcessor.getInstance().getFunctionArgs_(c,a,d);return b.concat(a)};sre.SemanticProcessor.CLASSIFY_FUNCTION_={};
-sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.INTEGRAL]="integral";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.SUM]="bigop";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.PREFIXFUNC]="prefix";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.LIMFUNC]="prefix";
+sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.INTEGRAL]="integral";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.SUM]="bigop";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.PREFIXFUNC]="prefix";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.LIMFUNC]="prefix";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.SIMPLEFUNC]="prefix";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.COMPFUNC]="prefix";
 sre.SemanticProcessor.classifyFunction_=function(a,b){if(a.type===sre.SemanticAttr.Type.APPL||a.type===sre.SemanticAttr.Type.BIGOP||a.type===sre.SemanticAttr.Type.INTEGRAL)return"";if(b[0]&&b[0].textContent===sre.SemanticAttr.functionApplication()){b.shift();b=sre.SemanticAttr.Role.SIMPLEFUNC;if(a.role===sre.SemanticAttr.Role.PREFIXFUNC||a.role===sre.SemanticAttr.Role.LIMFUNC)b=a.role;sre.SemanticProcessor.propagateFunctionRole_(a,b);return"prefix"}return(b=sre.SemanticProcessor.CLASSIFY_FUNCTION_[a.role])?
 b:sre.SemanticPred.isSimpleFunctionHead(a)?"simple":""};sre.SemanticProcessor.propagateFunctionRole_=function(a,b){a&&(sre.SemanticPred.isAttribute("role","SUBSUP")(a)||(a.role=b),sre.SemanticProcessor.propagateFunctionRole_(a.childNodes[0],b))};
-sre.SemanticProcessor.prototype.getFunctionArgs_=function(a,b,c){switch(c){case "integral":b=sre.SemanticProcessor.getInstance().getIntegralArgs_(b);var d=sre.SemanticProcessor.getInstance().row(b.integrand);a=sre.SemanticProcessor.getInstance().integralNode_(a,d,b.intvar);b.rest.unshift(a);return b.rest;case "prefix":if(b[0]&&b[0].type===sre.SemanticAttr.Type.FENCED)return a=sre.SemanticProcessor.getInstance().functionNode_(a,b.shift()),b.unshift(a),b;case "bigop":d=sre.SemanticProcessor.sliceNodes_(b,
-sre.SemanticPred.isPrefixFunctionBoundary);if(!d.head.length)return b.unshift(a),b;b=sre.SemanticProcessor.getInstance().row(d.head);a="prefix"===c?sre.SemanticProcessor.getInstance().functionNode_(a,b):sre.SemanticProcessor.getInstance().bigOpNode_(a,b);d.div&&d.tail.unshift(d.div);d.tail.unshift(a);return d.tail;default:if(0===b.length)return[a];d=b[0];if(d.type===sre.SemanticAttr.Type.FENCED&&d.role!==sre.SemanticAttr.Role.NEUTRAL&&sre.SemanticPred.isSimpleFunction(d))return sre.SemanticProcessor.propagateFunctionRole_(a,
-sre.SemanticAttr.Role.SIMPLEFUNC),a=sre.SemanticProcessor.getInstance().functionNode_(a,b.shift()),b.unshift(a),b;b.unshift(a);return b}};
-sre.SemanticProcessor.prototype.getIntegralArgs_=function(a,b){b=b||[];if(0===a.length)return{integrand:b,intvar:null,rest:a};var c=a[0];if(sre.SemanticPred.isGeneralFunctionBoundary(c))return{integrand:b,intvar:null,rest:a};if(sre.SemanticPred.isIntegralDxBoundarySingle(c))return{integrand:b,intvar:c,rest:a.slice(1)};if(a[1]&&sre.SemanticPred.isIntegralDxBoundary(c,a[1])){var d=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.invisibleComma());c=sre.SemanticProcessor.getInstance().punctuatedNode_([c,
-d,a[1]],[d]);c.role=sre.SemanticAttr.Role.INTEGRAL;return{integrand:b,intvar:c,rest:a.slice(2)}}b.push(a.shift());return sre.SemanticProcessor.getInstance().getIntegralArgs_(a,b)};
-sre.SemanticProcessor.prototype.functionNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.functionApplication());c.type=sre.SemanticAttr.Type.PUNCTUATION;c.role=sre.SemanticAttr.Role.APPLICATION;var d=sre.SemanticProcessor.getFunctionOp_(a,function(a){return sre.SemanticPred.isAttribute("type","FUNCTION")(a)||sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)&&sre.SemanticPred.isAttribute("role","SIMPLEFUNC")(a)});return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.APPL,
+sre.SemanticProcessor.prototype.getFunctionArgs_=function(a,b,c){switch(c){case "integral":b=sre.SemanticProcessor.getInstance().getIntegralArgs_(b);if(!b.intvar&&!b.integrand.length)return b.rest.unshift(a),b.rest;c=sre.SemanticProcessor.getInstance().row(b.integrand);a=sre.SemanticProcessor.getInstance().integralNode_(a,c,b.intvar);b.rest.unshift(a);return b.rest;case "prefix":if(b[0]&&b[0].type===sre.SemanticAttr.Type.FENCED){var d=b.shift();d.role!==sre.SemanticAttr.Role.NEUTRAL&&(d.role=sre.SemanticAttr.Role.LEFTRIGHT);
+a=sre.SemanticProcessor.getInstance().functionNode_(a,d);b.unshift(a);return b}c=sre.SemanticProcessor.sliceNodes_(b,sre.SemanticPred.isPrefixFunctionBoundary);if(c.head.length)d=sre.SemanticProcessor.getInstance().row(c.head),c.div&&c.tail.unshift(c.div);else{if(!c.div||!sre.SemanticPred.isAttribute("type","APPL")(c.div))return b.unshift(a),b;d=c.div}a=sre.SemanticProcessor.getInstance().functionNode_(a,d);c.tail.unshift(a);return c.tail;case "bigop":c=sre.SemanticProcessor.sliceNodes_(b,sre.SemanticPred.isBigOpBoundary);
+if(!c.head.length)return b.unshift(a),b;d=sre.SemanticProcessor.getInstance().row(c.head);a=sre.SemanticProcessor.getInstance().bigOpNode_(a,d);c.div&&c.tail.unshift(c.div);c.tail.unshift(a);return c.tail;default:if(0===b.length)return[a];c=b[0];if(c.type===sre.SemanticAttr.Type.FENCED&&c.role!==sre.SemanticAttr.Role.NEUTRAL&&sre.SemanticPred.isSimpleFunctionScope(c))return c.role=sre.SemanticAttr.Role.LEFTRIGHT,sre.SemanticProcessor.propagateFunctionRole_(a,sre.SemanticAttr.Role.SIMPLEFUNC),a=sre.SemanticProcessor.getInstance().functionNode_(a,
+b.shift()),b.unshift(a),b;b.unshift(a);return b}};
+sre.SemanticProcessor.prototype.getIntegralArgs_=function(a,b){b=b||[];if(0===a.length)return{integrand:b,intvar:null,rest:a};var c=a[0];if(sre.SemanticPred.isGeneralFunctionBoundary(c))return{integrand:b,intvar:null,rest:a};if(sre.SemanticPred.isIntegralDxBoundarySingle(c))return{integrand:b,intvar:c,rest:a.slice(1)};if(a[1]&&sre.SemanticPred.isIntegralDxBoundary(c,a[1]))return c=sre.SemanticProcessor.getInstance().prefixNode_(a[1],[c]),c.role=sre.SemanticAttr.Role.INTEGRAL,{integrand:b,intvar:c,
+rest:a.slice(2)};b.push(a.shift());return sre.SemanticProcessor.getInstance().getIntegralArgs_(a,b)};
+sre.SemanticProcessor.prototype.functionNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.functionApplication());c.type=sre.SemanticAttr.Type.PUNCTUATION;c.role=sre.SemanticAttr.Role.APPLICATION;var d=sre.SemanticProcessor.getFunctionOp_(a,function(e){return sre.SemanticPred.isAttribute("type","FUNCTION")(e)||sre.SemanticPred.isAttribute("type","IDENTIFIER")(e)&&sre.SemanticPred.isAttribute("role","SIMPLEFUNC")(e)});return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.APPL,
 [a,b],d,[c])};sre.SemanticProcessor.prototype.bigOpNode_=function(a,b){var c=sre.SemanticProcessor.getFunctionOp_(a,sre.SemanticPred.isAttribute("type","LARGEOP"));return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.BIGOP,[a,b],c,[])};
 sre.SemanticProcessor.prototype.integralNode_=function(a,b,c){b=b||sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();c=c||sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();var d=sre.SemanticProcessor.getFunctionOp_(a,sre.SemanticPred.isAttribute("type","LARGEOP"));return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.INTEGRAL,[a,b,c],d,[])};
 sre.SemanticProcessor.prototype.functionalNode_=function(a,b,c,d){var e=b[0];if(c){var f=c.parent;d.push(c)}a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(a,b,d);a.role=e.role;f&&(c.parent=f);return a};sre.SemanticProcessor.getFunctionOp_=function(a,b){if(b(a))return a;for(var c=0,d;d=a.childNodes[c];c++)if(d=sre.SemanticProcessor.getFunctionOp_(d,b))return d;return null};
@@ -286,92 +337,201 @@ sre.SemanticProcessor.tableToVector_=function(a){var b=a.childNodes[0];b.type=sr
 sre.SemanticProcessor.tableToMatrix_=function(a){var b=a.childNodes[0];b.type=sre.SemanticAttr.Type.MATRIX;b.childNodes&&0<b.childNodes.length&&b.childNodes[0].childNodes&&b.childNodes.length===b.childNodes[0].childNodes.length?sre.SemanticProcessor.tableToSquare_(a):b.childNodes&&1===b.childNodes.length&&(b.role=sre.SemanticAttr.Role.ROWVECTOR)};
 sre.SemanticProcessor.tableToSquare_=function(a){var b=a.childNodes[0];sre.SemanticPred.isAttribute("role","NEUTRAL")(a)?b.role=sre.SemanticAttr.Role.DETERMINANT:b.role=sre.SemanticAttr.Role.SQUAREMATRIX};sre.SemanticProcessor.getComponentRoles_=function(a){var b=a.role;return b&&b!==sre.SemanticAttr.Role.UNKNOWN?b:sre.SemanticAttr.Role[a.type.toUpperCase()]||sre.SemanticAttr.Role.UNKNOWN};
 sre.SemanticProcessor.tableToCases_=function(a,b){for(var c=0,d;d=a.childNodes[c];c++)sre.SemanticProcessor.assignRoleToRow_(d,sre.SemanticAttr.Role.CASES);a.type=sre.SemanticAttr.Type.CASES;a.appendContentNode(b);sre.SemanticPred.tableIsMultiline(a)&&sre.SemanticProcessor.binomialForm_(a);return a};
-sre.SemanticProcessor.tableToMultiline=function(a){if(sre.SemanticPred.tableIsMultiline(a)){a.type=sre.SemanticAttr.Type.MULTILINE;for(var b=0,c;c=a.childNodes[b];b++)sre.SemanticProcessor.rowToLine_(c,sre.SemanticAttr.Role.MULTILINE);sre.SemanticProcessor.binomialForm_(a);sre.SemanticProcessor.classifyMultiline(a)}else sre.SemanticProcessor.classifyTable(a)};
-sre.SemanticProcessor.rowToLine_=function(a,b){b=b||sre.SemanticAttr.Role.UNKNOWN;sre.SemanticPred.isAttribute("type","ROW")(a)&&(a.type=sre.SemanticAttr.Type.LINE,a.role=b,1===a.childNodes.length&&sre.SemanticPred.isAttribute("type","CELL")(a.childNodes[0])&&(a.childNodes=a.childNodes[0].childNodes,a.childNodes.forEach(function(b){b.parent=a})))};
-sre.SemanticProcessor.assignRoleToRow_=function(a,b){if(sre.SemanticPred.isAttribute("type","LINE")(a))a.role=b;else if(sre.SemanticPred.isAttribute("type","ROW")(a)){a.role=b;var c=sre.SemanticPred.isAttribute("type","CELL");a.childNodes.forEach(function(a){c(a)&&(a.role=b)})}};
+sre.SemanticProcessor.tableToMultiline=function(a){if(sre.SemanticPred.tableIsMultiline(a)){a.type=sre.SemanticAttr.Type.MULTILINE;for(var b=0,c;c=a.childNodes[b];b++)sre.SemanticProcessor.rowToLine_(c,sre.SemanticAttr.Role.MULTILINE);1===a.childNodes.length&&sre.SemanticPred.isFencedElement(a.childNodes[0].childNodes[0])&&sre.SemanticProcessor.tableToMatrixOrVector_(sre.SemanticProcessor.rewriteFencedLine_(a));sre.SemanticProcessor.binomialForm_(a);sre.SemanticProcessor.classifyMultiline(a)}else sre.SemanticProcessor.classifyTable(a)};
+sre.SemanticProcessor.rewriteFencedLine_=function(a){var b=a.childNodes[0],c=a.childNodes[0].childNodes[0],d=a.childNodes[0].childNodes[0].childNodes[0];c.parent=a.parent;a.parent=c;d.parent=b;c.childNodes=[a];b.childNodes=[d];return c};
+sre.SemanticProcessor.rowToLine_=function(a,b){b=b||sre.SemanticAttr.Role.UNKNOWN;sre.SemanticPred.isAttribute("type","ROW")(a)&&(a.type=sre.SemanticAttr.Type.LINE,a.role=b,1===a.childNodes.length&&sre.SemanticPred.isAttribute("type","CELL")(a.childNodes[0])&&(a.childNodes=a.childNodes[0].childNodes,a.childNodes.forEach(function(c){c.parent=a})))};
+sre.SemanticProcessor.assignRoleToRow_=function(a,b){if(sre.SemanticPred.isAttribute("type","LINE")(a))a.role=b;else if(sre.SemanticPred.isAttribute("type","ROW")(a)){a.role=b;var c=sre.SemanticPred.isAttribute("type","CELL");a.childNodes.forEach(function(d){c(d)&&(d.role=b)})}};
 sre.SemanticProcessor.sliceNodes_=function(a,b,c){c&&a.reverse();for(var d=[],e=0,f;f=a[e];e++){if(b(f))return c?{head:a.slice(e+1).reverse(),div:f,tail:d.reverse()}:{head:d,div:f,tail:a.slice(e+1)};d.push(f)}return c?{head:[],div:null,tail:d.reverse()}:{head:d,div:null,tail:[]}};sre.SemanticProcessor.partitionNodes_=function(a,b){var c=[],d=[];do{var e=sre.SemanticProcessor.sliceNodes_(a,b);d.push(e.head);c.push(e.div);a=e.tail}while(e.div);c.pop();return{rel:c,comp:d}};
-sre.SemanticProcessor.prototype.mfenced=function(a,b,c,d){if(c&&0<d.length){var e=sre.MathUtil.nextSeparatorFunction(c),f=[d.shift()];d.forEach(goog.bind(function(a){f.push(sre.SemanticProcessor.getInstance().factory_.makeContentNode(e()));f.push(a)},this));d=f}if(a&&b)return sre.SemanticProcessor.getInstance().horizontalFencedNode_(sre.SemanticProcessor.getInstance().factory_.makeContentNode(a),sre.SemanticProcessor.getInstance().factory_.makeContentNode(b),d);a&&d.unshift(sre.SemanticProcessor.getInstance().factory_.makeContentNode(a));
-b&&d.push(sre.SemanticProcessor.getInstance().factory_.makeContentNode(b));return sre.SemanticProcessor.getInstance().row(d)};sre.SemanticProcessor.number=function(a){if(a.type===sre.SemanticAttr.Type.UNKNOWN||a.type===sre.SemanticAttr.Type.IDENTIFIER)a.type=sre.SemanticAttr.Type.NUMBER;sre.SemanticProcessor.numberRole_(a);sre.SemanticProcessor.exprFont_(a)};
-sre.SemanticProcessor.numberRole_=function(a){if(a.role===sre.SemanticAttr.Role.UNKNOWN){var b=sre.SemanticUtil.splitUnicode(a.textContent).map(sre.SemanticAttr.lookupMeaning);b.every(function(a){return a.type===sre.SemanticAttr.Type.NUMBER&&a.role===sre.SemanticAttr.Role.INTEGER||a.type===sre.SemanticAttr.Type.PUNCTUATION&&a.role===sre.SemanticAttr.Role.COMMA})?a.role=sre.SemanticAttr.Role.INTEGER:b.every(function(a){return a.type===sre.SemanticAttr.Type.NUMBER&&a.role===sre.SemanticAttr.Role.INTEGER||
-a.type===sre.SemanticAttr.Type.PUNCTUATION})?a.role=sre.SemanticAttr.Role.FLOAT:a.role=sre.SemanticAttr.Role.OTHERNUMBER}};sre.SemanticProcessor.exprFont_=function(a){if(a.font===sre.SemanticAttr.Font.UNKNOWN){var b=sre.SemanticUtil.splitUnicode(a.textContent).map(sre.SemanticAttr.lookupMeaning).reduce(function(a,b){return a&&b.font&&b.font!==sre.SemanticAttr.Font.UNKNOWN&&b.font!==a?a===sre.SemanticAttr.Font.UNKNOWN?b.font:null:a},sre.SemanticAttr.Font.UNKNOWN);b&&(a.font=b)}};
-sre.SemanticProcessor.prototype.fractionLikeNode=function(a,b,c){return sre.SemanticUtil.isZeroLength(a)?(a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.LINE,[b],[]),c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.LINE,[c],[]),c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.MULTILINE,[a,c],[]),sre.SemanticProcessor.binomialForm_(c),sre.SemanticProcessor.classifyMultiline(c),c):sre.SemanticProcessor.getInstance().fractionNode_(b,
-c)};sre.SemanticProcessor.prototype.fractionNode_=function(a,b){a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.FRACTION,[a,b],[]);a.role=a.childNodes.every(function(a){return sre.SemanticPred.isAttribute("role","INTEGER")(a)})?sre.SemanticAttr.Role.VULGAR:a.childNodes.every(function(a){return sre.SemanticPred.isAttribute("role","UNIT")(a)})?sre.SemanticAttr.Role.UNIT:sre.SemanticAttr.Role.DIVISION;return a};
+sre.SemanticProcessor.prototype.mfenced=function(a,b,c,d){if(c&&0<d.length){var e=sre.SemanticProcessor.nextSeparatorFunction_(c),f=[d.shift()];d.forEach(goog.bind(function(g){f.push(sre.SemanticProcessor.getInstance().factory_.makeContentNode(e()));f.push(g)},this));d=f}if(a&&b)return sre.SemanticProcessor.getInstance().horizontalFencedNode_(sre.SemanticProcessor.getInstance().factory_.makeContentNode(a),sre.SemanticProcessor.getInstance().factory_.makeContentNode(b),d);a&&d.unshift(sre.SemanticProcessor.getInstance().factory_.makeContentNode(a));
+b&&d.push(sre.SemanticProcessor.getInstance().factory_.makeContentNode(b));return sre.SemanticProcessor.getInstance().row(d)};sre.SemanticProcessor.nextSeparatorFunction_=function(a){if(a){if(a.match(/^\s+$/))return null;var b=a.replace(/\s/g,"").split("").filter(function(c){return c})}else b=[","];return function(){return 1<b.length?b.shift():b[0]}};
+sre.SemanticProcessor.number=function(a){if(a.type===sre.SemanticAttr.Type.UNKNOWN||a.type===sre.SemanticAttr.Type.IDENTIFIER)a.type=sre.SemanticAttr.Type.NUMBER;sre.SemanticProcessor.numberRole_(a);sre.SemanticProcessor.exprFont_(a)};
+sre.SemanticProcessor.numberRole_=function(a){if(a.role===sre.SemanticAttr.Role.UNKNOWN){var b=sre.SemanticUtil.splitUnicode(a.textContent).map(sre.SemanticAttr.lookupMeaning);b.every(function(c){return c.type===sre.SemanticAttr.Type.NUMBER&&c.role===sre.SemanticAttr.Role.INTEGER||c.type===sre.SemanticAttr.Type.PUNCTUATION&&c.role===sre.SemanticAttr.Role.COMMA})?a.role=sre.SemanticAttr.Role.INTEGER:b.every(function(c){return c.type===sre.SemanticAttr.Type.NUMBER&&c.role===sre.SemanticAttr.Role.INTEGER||
+c.type===sre.SemanticAttr.Type.PUNCTUATION})?a.role=sre.SemanticAttr.Role.FLOAT:a.role=sre.SemanticAttr.Role.OTHERNUMBER}};sre.SemanticProcessor.exprFont_=function(a){if(a.font===sre.SemanticAttr.Font.UNKNOWN){var b=sre.SemanticUtil.splitUnicode(a.textContent).map(sre.SemanticAttr.lookupMeaning).reduce(function(c,d){return c&&d.font&&d.font!==sre.SemanticAttr.Font.UNKNOWN&&d.font!==c?c===sre.SemanticAttr.Font.UNKNOWN?d.font:null:c},sre.SemanticAttr.Font.UNKNOWN);b&&(a.font=b)}};
+sre.SemanticProcessor.prototype.fractionLikeNode=function(a,b,c,d){!d&&sre.SemanticUtil.isZeroLength(c)?(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.LINE,[a],[]),b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.LINE,[b],[]),b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.MULTILINE,[d,b],[]),sre.SemanticProcessor.binomialForm_(b),sre.SemanticProcessor.classifyMultiline(b)):(b=sre.SemanticProcessor.getInstance().fractionNode_(a,
+b),d&&b.addAnnotation("general","bevelled"));return b};
+sre.SemanticProcessor.prototype.fractionNode_=function(a,b){a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.FRACTION,[a,b],[]);a.role=a.childNodes.every(function(c){return sre.SemanticPred.isAttribute("type","NUMBER")(c)&&sre.SemanticPred.isAttribute("role","INTEGER")(c)})?sre.SemanticAttr.Role.VULGAR:a.childNodes.every(sre.SemanticPred.isPureUnit)?sre.SemanticAttr.Role.UNIT:sre.SemanticAttr.Role.DIVISION;this.propagateSimpleFunction(a);return a};
 sre.SemanticProcessor.prototype.tensor=function(a,b,c,d,e){b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.TENSOR,[a,sre.SemanticProcessor.getInstance().scriptNode_(b,sre.SemanticAttr.Role.LEFTSUB),sre.SemanticProcessor.getInstance().scriptNode_(c,sre.SemanticAttr.Role.LEFTSUPER),sre.SemanticProcessor.getInstance().scriptNode_(d,sre.SemanticAttr.Role.RIGHTSUB),sre.SemanticProcessor.getInstance().scriptNode_(e,sre.SemanticAttr.Role.RIGHTSUPER)],[]);b.role=a.role;
 b.embellished=sre.SemanticPred.isEmbellished(a);return b};
-sre.SemanticProcessor.prototype.pseudoTensor=function(a,b,c){var d=function(a){return!sre.SemanticPred.isAttribute("type","EMPTY")(a)},e=b.filter(d).length;d=c.filter(d).length;if(!e&&!d)return a;var f=e?d?"MSUBSUP":"MSUB":"MSUP";a=[a];e&&a.push(sre.SemanticProcessor.getInstance().scriptNode_(b,sre.SemanticAttr.Role.RIGHTSUB,!0));d&&a.push(sre.SemanticProcessor.getInstance().scriptNode_(c,sre.SemanticAttr.Role.RIGHTSUPER,!0));return sre.SemanticProcessor.getInstance().limitNode(f,a)};
+sre.SemanticProcessor.prototype.pseudoTensor=function(a,b,c){var d=function(g){return!sre.SemanticPred.isAttribute("type","EMPTY")(g)},e=b.filter(d).length;d=c.filter(d).length;if(!e&&!d)return a;var f=e?d?"MSUBSUP":"MSUB":"MSUP";a=[a];e&&a.push(sre.SemanticProcessor.getInstance().scriptNode_(b,sre.SemanticAttr.Role.RIGHTSUB,!0));d&&a.push(sre.SemanticProcessor.getInstance().scriptNode_(c,sre.SemanticAttr.Role.RIGHTSUPER,!0));return sre.SemanticProcessor.getInstance().limitNode(f,a)};
 sre.SemanticProcessor.prototype.scriptNode_=function(a,b,c){switch(a.length){case 0:a=sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();break;case 1:a=a[0];if(c)return a;break;default:a=sre.SemanticProcessor.getInstance().dummyNode_(a)}a.role=b;return a};sre.SemanticProcessor.getEmbellishedInner_=function(a){return a&&a.embellished&&0<a.childNodes.length?sre.SemanticProcessor.getEmbellishedInner_(a.childNodes[0]):a};
 sre.SemanticProcessor.purgeFences_=function(a){var b=a.rel;a=a.comp;for(var c=[],d=[];0<b.length;){var e=b.shift(),f=a.shift();sre.SemanticPred.isElligibleEmbellishedFence(e)?(c.push(e),d.push(f)):(sre.SemanticProcessor.fenceToPunct_(e),f.push(e),f=f.concat(a.shift()),a.unshift(f))}d.push(a.shift());return{rel:c,comp:d}};
 sre.SemanticProcessor.rewriteFencedNode_=function(a){var b=a.contentNodes[1],c=sre.SemanticProcessor.rewriteFence_(a,a.contentNodes[0]);a.contentNodes[0]=c.fence;c=sre.SemanticProcessor.rewriteFence_(c.node,b);a.contentNodes[1]=c.fence;a.contentNodes[0].parent=a;a.contentNodes[1].parent=a;c.node.parent=null;return c.node};
 sre.SemanticProcessor.rewriteFence_=function(a,b){if(!b.embellished)return{node:a,fence:b};var c=b.childNodes[0],d=sre.SemanticProcessor.rewriteFence_(a,c);if(sre.SemanticPred.isAttribute("type","SUPERSCRIPT")(b)||sre.SemanticPred.isAttribute("type","SUBSCRIPT")(b)||sre.SemanticPred.isAttribute("type","TENSOR")(b))return sre.SemanticPred.isAttribute("role","SUBSUP")(b)||(b.role=a.role),c!==d.node&&(b.replaceChild(c,d.node),c.parent=a),sre.SemanticProcessor.propagateFencePointer_(b,c),{node:b,fence:d.fence};
 b.replaceChild(c,d.fence);b.mathmlTree&&-1===b.mathml.indexOf(b.mathmlTree)&&b.mathml.push(b.mathmlTree);return{node:d.node,fence:b}};sre.SemanticProcessor.propagateFencePointer_=function(a,b){a.fencePointer=b.fencePointer||b.id.toString();a.embellished=null};
-sre.SemanticProcessor.classifyMultiline=function(a){for(var b=0,c=a.childNodes.length,d;b<c&&(!(d=a.childNodes[b])||!d.childNodes.length);)b++;if(!(b>=c)){var e=d.childNodes[0].role;e!==sre.SemanticAttr.Role.UNKNOWN&&a.childNodes.every(function(a){a=a.childNodes[0];return!a||a.role===e&&(sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("type","RELSEQ")(a))})&&(a.role=e)}};
+sre.SemanticProcessor.classifyMultiline=function(a){for(var b=0,c=a.childNodes.length,d;b<c&&(!(d=a.childNodes[b])||!d.childNodes.length);)b++;if(!(b>=c)){var e=d.childNodes[0].role;e!==sre.SemanticAttr.Role.UNKNOWN&&a.childNodes.every(function(f){f=f.childNodes[0];return!f||f.role===e&&(sre.SemanticPred.isAttribute("type","RELATION")(f)||sre.SemanticPred.isAttribute("type","RELSEQ")(f))})&&(a.role=e)}};
 sre.SemanticProcessor.classifyTable=function(a){var b=sre.SemanticProcessor.computeColumns_(a);sre.SemanticProcessor.classifyByColumns_(a,b,"EQUALITY")||sre.SemanticProcessor.classifyByColumns_(a,b,"INEQUALITY",["EQUALITY"])||sre.SemanticProcessor.classifyByColumns_(a,b,"ARROW")};
-sre.SemanticProcessor.classifyByColumns_=function(a,b,c,d){d=function(a){return sre.SemanticProcessor.isPureRelation_(a,c)};var e=function(a){return sre.SemanticProcessor.isEndRelation_(a,c)||sre.SemanticProcessor.isPureRelation_(a,c)},f=function(a){return sre.SemanticProcessor.isEndRelation_(a,c,!0)||sre.SemanticProcessor.isPureRelation_(a,c)};return 3===b.length&&sre.SemanticProcessor.testColumns_(b,1,d)||2===b.length&&(sre.SemanticProcessor.testColumns_(b,1,e)||sre.SemanticProcessor.testColumns_(b,
+sre.SemanticProcessor.classifyByColumns_=function(a,b,c,d){d=function(g){return sre.SemanticProcessor.isPureRelation_(g,c)};var e=function(g){return sre.SemanticProcessor.isEndRelation_(g,c)||sre.SemanticProcessor.isPureRelation_(g,c)},f=function(g){return sre.SemanticProcessor.isEndRelation_(g,c,!0)||sre.SemanticProcessor.isPureRelation_(g,c)};return 3===b.length&&sre.SemanticProcessor.testColumns_(b,1,d)||2===b.length&&(sre.SemanticProcessor.testColumns_(b,1,e)||sre.SemanticProcessor.testColumns_(b,
 0,f))?(a.role=sre.SemanticAttr.Role[c],!0):!1};sre.SemanticProcessor.isEndRelation_=function(a,b,c){c=c?a.childNodes.length-1:0;return sre.SemanticPred.isAttribute("type","RELSEQ")(a)&&sre.SemanticPred.isAttribute("role",b)(a)&&sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[c])};sre.SemanticProcessor.isPureRelation_=function(a,b){return sre.SemanticPred.isAttribute("type","RELATION")(a)&&sre.SemanticPred.isAttribute("role",b)(a)};
-sre.SemanticProcessor.computeColumns_=function(a){for(var b=[],c=0,d;d=a.childNodes[c];c++)for(var e=0,f;f=d.childNodes[e];e++)b[e]?b[e].push(f):b[e]=[f];return b};sre.SemanticProcessor.testColumns_=function(a,b,c){return(a=a[b])?a.some(function(a){return a.childNodes.length&&c(a.childNodes[0])})&&a.every(function(a){return!a.childNodes.length||c(a.childNodes[0])}):!1};
-sre.SemanticProcessor.MATHJAX_FONTS={"-tex-caligraphic":sre.SemanticAttr.Font.CALIGRAPHIC,"-tex-caligraphic-bold":sre.SemanticAttr.Font.CALIGRAPHICBOLD,"-tex-oldstyle":sre.SemanticAttr.Font.OLDSTYLE,"-tex-oldstyle-bold":sre.SemanticAttr.Font.OLDSTYLEBOLD,"-tex-mathit":sre.SemanticAttr.Font.ITALIC};sre.SemanticProcessor.prototype.font=function(a){var b=sre.SemanticProcessor.MATHJAX_FONTS[a];return b?b:a};sre.SemanticMathml=function(){sre.SemanticAbstractParser.call(this,"MathML");this.parseMap_={SEMANTICS:goog.bind(this.semantics_,this),MATH:goog.bind(this.rows_,this),MROW:goog.bind(this.rows_,this),MPADDED:goog.bind(this.rows_,this),MSTYLE:goog.bind(this.rows_,this),MFRAC:goog.bind(this.fraction_,this),MSUB:goog.bind(this.limits_,this),MSUP:goog.bind(this.limits_,this),MSUBSUP:goog.bind(this.limits_,this),MOVER:goog.bind(this.limits_,this),MUNDER:goog.bind(this.limits_,this),MUNDEROVER:goog.bind(this.limits_,
+sre.SemanticProcessor.computeColumns_=function(a){for(var b=[],c=0,d;d=a.childNodes[c];c++)for(var e=0,f;f=d.childNodes[e];e++)b[e]?b[e].push(f):b[e]=[f];return b};sre.SemanticProcessor.testColumns_=function(a,b,c){return(a=a[b])?a.some(function(d){return d.childNodes.length&&c(d.childNodes[0])})&&a.every(function(d){return!d.childNodes.length||c(d.childNodes[0])}):!1};
+sre.SemanticProcessor.MATHJAX_FONTS={"-tex-caligraphic":sre.SemanticAttr.Font.CALIGRAPHIC,"-tex-caligraphic-bold":sre.SemanticAttr.Font.CALIGRAPHICBOLD,"-tex-calligraphic":sre.SemanticAttr.Font.CALIGRAPHIC,"-tex-calligraphic-bold":sre.SemanticAttr.Font.CALIGRAPHICBOLD,"-tex-oldstyle":sre.SemanticAttr.Font.OLDSTYLE,"-tex-oldstyle-bold":sre.SemanticAttr.Font.OLDSTYLEBOLD,"-tex-mathit":sre.SemanticAttr.Font.ITALIC};
+sre.SemanticProcessor.prototype.font=function(a){var b=sre.SemanticProcessor.MATHJAX_FONTS[a];return b?b:a};sre.SemanticProcessor.prototype.propagateSimpleFunction=function(a){"clearspeak"!==sre.Engine.getInstance().domain||a.type!==sre.SemanticAttr.Type.INFIXOP&&a.type!==sre.SemanticAttr.Type.FRACTION||!a.childNodes.every(sre.SemanticPred.isSimpleFunction)||(a.role=sre.SemanticAttr.Role.COMPFUNC)};
+sre.SemanticProcessor.prototype.propagateComposedFunction=function(a){"clearspeak"===sre.Engine.getInstance().domain&&a.type===sre.SemanticAttr.Type.FENCED&&a.childNodes[0].role===sre.SemanticAttr.Role.COMPFUNC&&(a.role=sre.SemanticAttr.Role.COMPFUNC)};sre.SemanticProcessor.proof=function(a,b,c){b=sre.SemanticProcessor.separateSemantics(b);return sre.SemanticProcessor.getInstance().proof(a,b,c)};
+sre.SemanticProcessor.prototype.proof=function(a,b,c){b.inference||b.axiom||console.log("Noise");if(b.axiom)return b=this.cleanInference(a.childNodes),b=b.length?this.factory_.makeBranchNode(sre.SemanticAttr.Type.INFERENCE,c(b),[]):this.factory_.makeEmptyNode(),b.role=sre.SemanticAttr.Role.AXIOM,b.mathmlTree=a,b;a=this.inference(a,b,c);b.proof&&(a.role=sre.SemanticAttr.Role.PROOF,a.childNodes[0].role=sre.SemanticAttr.Role.FINAL);return a};
+sre.SemanticProcessor.prototype.inference=function(a,b,c){if(b.inferenceRule)return c=this.getFormulas(a,[],c),c=this.factory_.makeBranchNode(sre.SemanticAttr.Type.INFERENCE,[c.conclusion,c.premises],[]);var d=b.labelledRule,e=sre.DomUtil.toArray(a.childNodes);b=[];"left"!==d&&"both"!==d||b.push(this.getLabel(a,e,c,sre.SemanticAttr.Role.LEFT));"right"!==d&&"both"!==d||b.push(this.getLabel(a,e,c,sre.SemanticAttr.Role.RIGHT));c=this.getFormulas(a,e,c);c=this.factory_.makeBranchNode(sre.SemanticAttr.Type.INFERENCE,
+[c.conclusion,c.premises],b);c.mathmlTree=a;return c};sre.SemanticProcessor.prototype.getLabel=function(a,b,c,d){a=this.findNestedRow(b,"prooflabel",d);c=this.factory_.makeBranchNode(sre.SemanticAttr.Type.RULELABEL,c(sre.DomUtil.toArray(a.childNodes)),[]);c.role=d;c.mathmlTree=a;return c};
+sre.SemanticProcessor.prototype.getFormulas=function(a,b,c){b=b.length?this.findNestedRow(b,"inferenceRule"):a;var d="up"===sre.SemanticProcessor.getSemantics(b).inferenceRule;a=d?b.childNodes[0]:b.childNodes[1];b=(d?b.childNodes[1]:b.childNodes[0]).childNodes[0].childNodes[0];var e=sre.DomUtil.toArray(b.childNodes[0].childNodes);d=[];var f=1;e=$jscomp.makeIterator(e);for(var g=e.next();!g.done;g=e.next())g=g.value,f%2&&d.push(g.childNodes[0]),f++;d=c(d);c=c(sre.DomUtil.toArray(a.childNodes[0].childNodes))[0];
+d=this.factory_.makeBranchNode(sre.SemanticAttr.Type.PREMISES,d,[]);d.mathmlTree=b;c=this.factory_.makeBranchNode(sre.SemanticAttr.Type.CONCLUSION,[c],[]);c.mathmlTree=a.childNodes[0].childNodes[0];return{conclusion:c,premises:d}};sre.SemanticProcessor.prototype.findNestedRow=function(a,b,c){return this.findNestedRow_(a,b,0,c)};
+sre.SemanticProcessor.prototype.findNestedRow_=function(a,b,c,d){if(3<c)return null;for(var e=0,f;f=a[e];e++){var g=sre.DomUtil.tagName(f);if("MSPACE"!==g){if("MROW"===g)return this.findNestedRow_(sre.DomUtil.toArray(f.childNodes),b,c+1,d);if(sre.SemanticProcessor.findSemantics(f,b,d))return f}}return null};sre.SemanticProcessor.prototype.cleanInference=function(a){return sre.DomUtil.toArray(a).filter(function(b){return"MSPACE"!==sre.DomUtil.tagName(b)})};
+sre.SemanticProcessor.findSemantics=function(a,b,c){c=null==c?null:c;return(a=sre.SemanticProcessor.getSemantics(a))&&a[b]?null==c?!0:a[b]===c:!1};sre.SemanticProcessor.getSemantics=function(a){return(a=a.getAttribute("semantics"))?sre.SemanticProcessor.separateSemantics(a):null};sre.SemanticProcessor.removePrefix=function(a){a=$jscomp.makeIterator(a.split("_"));a.next();return $jscomp.arrayFromIterator(a).join("_")};
+sre.SemanticProcessor.separateSemantics=function(a){var b={};a.split(";").forEach(function(c){var d=$jscomp.makeIterator(c.split(":"));c=d.next().value;d=d.next().value;b[sre.SemanticProcessor.removePrefix(c)]=d});return b};sre.SemanticMathml=function(){sre.SemanticAbstractParser.call(this,"MathML");this.parseMap_={SEMANTICS:goog.bind(this.semantics_,this),MATH:goog.bind(this.rows_,this),MROW:goog.bind(this.rows_,this),MPADDED:goog.bind(this.rows_,this),MSTYLE:goog.bind(this.rows_,this),MFRAC:goog.bind(this.fraction_,this),MSUB:goog.bind(this.limits_,this),MSUP:goog.bind(this.limits_,this),MSUBSUP:goog.bind(this.limits_,this),MOVER:goog.bind(this.limits_,this),MUNDER:goog.bind(this.limits_,this),MUNDEROVER:goog.bind(this.limits_,
 this),MROOT:goog.bind(this.root_,this),MSQRT:goog.bind(this.sqrt_,this),MTABLE:goog.bind(this.table_,this),MLABELEDTR:goog.bind(this.tableLabeledRow_,this),MTR:goog.bind(this.tableRow_,this),MTD:goog.bind(this.tableCell_,this),MS:goog.bind(this.text_,this),MTEXT:goog.bind(this.text_,this),"ANNOTATION-XML":goog.bind(this.text_,this),MI:goog.bind(this.identifier_,this),MN:goog.bind(this.number_,this),MO:goog.bind(this.operator_,this),MFENCED:goog.bind(this.fenced_,this),MENCLOSE:goog.bind(this.enclosed_,
 this),MMULTISCRIPTS:goog.bind(this.multiscripts_,this),ANNOTATION:goog.bind(this.empty_,this),NONE:goog.bind(this.empty_,this),MACTION:goog.bind(this.action_,this)}};goog.inherits(sre.SemanticMathml,sre.SemanticAbstractParser);
-sre.SemanticMathml.prototype.parse=function(a){sre.SemanticProcessor.getInstance().setNodeFactory(this.getFactory());var b=sre.DomUtil.toArray(a.childNodes),c=sre.DomUtil.tagName(a),d=this.parseMap_[c];b=(d?d:goog.bind(this.dummy_,this))(a,b);if(-1!==["MATH","MROW","MPADDED","MSTYLE","SEMANTICS"].indexOf(c))return b;b.mathml.unshift(a);b.mathmlTree=a;return b};sre.SemanticMathml.prototype.parseNodes_=function(a){for(var b=[],c=0,d;d=a[c];c++)b.push(this.parse(d));return b};
-sre.SemanticMathml.prototype.semantics_=function(a,b){return b.length?this.parse(b[0]):this.getFactory().makeEmptyNode()};sre.SemanticMathml.prototype.rows_=function(a,b){b=sre.SemanticUtil.purgeNodes(b);b=1===b.length?this.parse(b[0]):sre.SemanticProcessor.getInstance().row(this.parseNodes_(b));b.mathml.unshift(a);return b};sre.SemanticMathml.prototype.fraction_=function(a,b){return sre.SemanticProcessor.getInstance().fractionLikeNode(a.getAttribute("linethickness"),this.parse(b[0]),this.parse(b[1]))};
-sre.SemanticMathml.prototype.limits_=function(a,b){return sre.SemanticProcessor.getInstance().limitNode(sre.DomUtil.tagName(a),this.parseNodes_(b))};sre.SemanticMathml.prototype.root_=function(a,b){return this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROOT,[this.parse(b[1]),this.parse(b[0])],[])};
-sre.SemanticMathml.prototype.sqrt_=function(a,b){a=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));return this.getFactory().makeBranchNode(sre.SemanticAttr.Type.SQRT,[sre.SemanticProcessor.getInstance().row(a)],[])};sre.SemanticMathml.prototype.table_=function(a,b){a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.TABLE,this.parseNodes_(b),[]);sre.SemanticProcessor.tableToMultiline(a);return a};
-sre.SemanticMathml.prototype.tableRow_=function(a,b){a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROW,this.parseNodes_(b),[]);a.role=sre.SemanticAttr.Role.TABLE;return a};sre.SemanticMathml.prototype.tableLabeledRow_=function(a,b){if(!b.length)return this.tableRow_(a,b);a=this.parse(b[0]);a.role=sre.SemanticAttr.Role.LABEL;b=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROW,this.parseNodes_(b.slice(1)),[a]);b.role=sre.SemanticAttr.Role.TABLE;return b};
-sre.SemanticMathml.prototype.tableCell_=function(a,b){a=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));a=a.length?1===a.length&&sre.SemanticPred.isAttribute("type","EMPTY")(a[0])?a:[sre.SemanticProcessor.getInstance().row(a)]:[];a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.CELL,a,[]);a.role=sre.SemanticAttr.Role.TABLE;return a};
-sre.SemanticMathml.prototype.text_=function(a,b){return sre.SemanticProcessor.getInstance().text(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")),sre.DomUtil.tagName(a))};sre.SemanticMathml.prototype.identifier_=function(a,b){return sre.SemanticProcessor.getInstance().identifierNode(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")),a.getAttribute("class"))};
-sre.SemanticMathml.prototype.number_=function(a,b){a=this.leaf_(a);sre.SemanticProcessor.number(a);return a};sre.SemanticMathml.prototype.operator_=function(a,b){a=this.leaf_(a);a.type===sre.SemanticAttr.Type.UNKNOWN&&(a.type=sre.SemanticAttr.Type.OPERATOR);return a};
-sre.SemanticMathml.prototype.fenced_=function(a,b){b=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));var c=sre.SemanticMathml.getAttribute_(a,"separators",","),d=sre.SemanticMathml.getAttribute_(a,"open","(");a=sre.SemanticMathml.getAttribute_(a,"close",")");a=sre.SemanticProcessor.getInstance().mfenced(d,a,c,b);return sre.SemanticProcessor.getInstance().tablesInRow([a])[0]};
-sre.SemanticMathml.prototype.enclosed_=function(a,b){b=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));b=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ENCLOSE,[sre.SemanticProcessor.getInstance().row(b)],[]);b.role=a.getAttribute("notation")||sre.SemanticAttr.Role.UNKNOWN;return b};
-sre.SemanticMathml.prototype.multiscripts_=function(a,b){if(!b.length)return this.getFactory().makeEmptyNode();a=this.parse(b.shift());if(!b.length)return a;for(var c=[],d=[],e=[],f=[],g=!1,h=0,k=0,l;l=b[k];k++)"MPRESCRIPTS"===sre.DomUtil.tagName(l)?(g=!0,h=0):(g?h&1?c.push(l):d.push(l):h&1?e.push(l):f.push(l),h++);return sre.SemanticUtil.purgeNodes(c).length||sre.SemanticUtil.purgeNodes(d).length?sre.SemanticProcessor.getInstance().tensor(a,this.parseNodes_(d),this.parseNodes_(c),this.parseNodes_(f),
-this.parseNodes_(e)):sre.SemanticProcessor.getInstance().pseudoTensor(a,this.parseNodes_(f),this.parseNodes_(e))};sre.SemanticMathml.prototype.empty_=function(a,b){return this.getFactory().makeEmptyNode()};sre.SemanticMathml.prototype.action_=function(a,b){return 1<b.length?this.parse(b[1]):this.getFactory().makeUnprocessed(a)};sre.SemanticMathml.prototype.dummy_=function(a,b){return this.getFactory().makeUnprocessed(a)};
-sre.SemanticMathml.prototype.leaf_=function(a){return this.getFactory().makeLeafNode(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")))};sre.SemanticMathml.getAttribute_=function(a,b,c){if(!a.hasAttribute(b))return c;a=a.getAttribute(b);return a.match(/^\s*$/)?null:a};sre.SemanticTree=function(a){this.mathml=a;this.parser=new sre.SemanticMathml;this.root=this.parser.parse(a)};sre.SemanticTree.empty=function(){var a=sre.DomUtil.parseInput("<math/>"),b=new sre.SemanticTree(a);b.mathml=a;return b};sre.SemanticTree.fromNode=function(a,b){var c=sre.SemanticTree.empty();c.root=a;b&&(c.mathml=b);return c};sre.SemanticTree.fromRoot=function(a,b){for(;a.parent;)a=a.parent;a=sre.SemanticTree.fromNode(a);b&&(a.mathml=b);return a};
-sre.SemanticTree.prototype.xml=function(a){var b=sre.DomUtil.parseInput("<stree></stree>");a=this.root.xml(b.ownerDocument,a);b.appendChild(a);return b};sre.SemanticTree.prototype.toString=function(a){return(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(this.xml(a))};sre.SemanticTree.prototype.formatXml=function(a){a=this.toString(a);return sre.DomUtil.formatXml(a)};sre.SemanticTree.prototype.displayTree=function(){this.root.displayTree(0)};
-sre.SemanticTree.prototype.replaceNode=function(a,b){var c=a.parent;c?c.replaceChild(a,b):this.root=b};sre.Semantic={};sre.Semantic.Font=sre.SemanticAttr.Font;sre.Semantic.Role=sre.SemanticAttr.Role;sre.Semantic.Type=sre.SemanticAttr.Type;sre.Semantic.xmlTree=function(a){return sre.Semantic.getTree(a).xml()};sre.Semantic.getTree=function(a){return new sre.SemanticTree(a)};sre.Semantic.getTreeFromString=function(a){a=sre.DomUtil.parseInput(a);return sre.Semantic.getTree(a)};sre.SemanticSkeleton=function(a){this.array=a=0===a?a:a||[];this.levelsMap=this.parents=null};sre.SemanticSkeleton.prototype.populate=function(){this.parents&&this.levelsMap||(this.parents={},this.levelsMap={},this.populate_(this.array,this.array,[]))};
+sre.SemanticMathml.prototype.parse=function(a){sre.SemanticProcessor.getInstance().setNodeFactory(this.getFactory());var b=sre.DomUtil.toArray(a.childNodes),c=sre.DomUtil.tagName(a),d=this.parseMap_[c];b=(d?d:goog.bind(this.dummy_,this))(a,b);this.addAttributes(b,a);if(-1!==["MATH","MROW","MPADDED","MSTYLE","SEMANTICS"].indexOf(c))return b;b.mathml.unshift(a);b.mathmlTree=a;return b};
+sre.SemanticMathml.prototype.addAttributes=function(a,b){if(b.hasAttributes()){b=b.attributes;for(var c=b.length-1;0<=c;c--){var d=b[c].name;d.match(/^ext/)&&(a.attributes[d]=b[c].value)}}};sre.SemanticMathml.prototype.semantics_=function(a,b){return b.length?this.parse(b[0]):this.getFactory().makeEmptyNode()};
+sre.SemanticMathml.prototype.rows_=function(a,b){var c=a.getAttribute("semantics");if(c&&c.match("bspr_"))return sre.SemanticProcessor.proof(a,c,goog.bind(this.parseList,this));b=sre.SemanticUtil.purgeNodes(b);b=1===b.length?this.parse(b[0]):sre.SemanticProcessor.getInstance().row(this.parseList(b));b.mathml.unshift(a);return b};
+sre.SemanticMathml.prototype.fraction_=function(a,b){return sre.SemanticProcessor.getInstance().fractionLikeNode(this.parse(b[0]),this.parse(b[1]),a.getAttribute("linethickness"),"true"===a.getAttribute("bevelled"))};sre.SemanticMathml.prototype.limits_=function(a,b){return sre.SemanticProcessor.getInstance().limitNode(sre.DomUtil.tagName(a),this.parseList(b))};
+sre.SemanticMathml.prototype.root_=function(a,b){return this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROOT,[this.parse(b[1]),this.parse(b[0])],[])};sre.SemanticMathml.prototype.sqrt_=function(a,b){a=this.parseList(sre.SemanticUtil.purgeNodes(b));return this.getFactory().makeBranchNode(sre.SemanticAttr.Type.SQRT,[sre.SemanticProcessor.getInstance().row(a)],[])};
+sre.SemanticMathml.prototype.table_=function(a,b){var c=a.getAttribute("semantics");if(c&&c.match("bspr_"))return sre.SemanticProcessor.proof(a,c,goog.bind(this.parseList,this));a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.TABLE,this.parseList(b),[]);sre.SemanticProcessor.tableToMultiline(a);return a};sre.SemanticMathml.prototype.tableRow_=function(a,b){a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROW,this.parseList(b),[]);a.role=sre.SemanticAttr.Role.TABLE;return a};
+sre.SemanticMathml.prototype.tableLabeledRow_=function(a,b){if(!b.length)return this.tableRow_(a,b);a=this.parse(b[0]);a.role=sre.SemanticAttr.Role.LABEL;b=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROW,this.parseList(b.slice(1)),[a]);b.role=sre.SemanticAttr.Role.TABLE;return b};
+sre.SemanticMathml.prototype.tableCell_=function(a,b){a=this.parseList(sre.SemanticUtil.purgeNodes(b));a=a.length?1===a.length&&sre.SemanticPred.isAttribute("type","EMPTY")(a[0])?a:[sre.SemanticProcessor.getInstance().row(a)]:[];a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.CELL,a,[]);a.role=sre.SemanticAttr.Role.TABLE;return a};
+sre.SemanticMathml.prototype.text_=function(a,b){return sre.SemanticProcessor.getInstance().text(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")),sre.DomUtil.tagName(a))};
+sre.SemanticMathml.prototype.identifier_=function(a,b){a=sre.SemanticProcessor.getInstance().identifierNode(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")),a.getAttribute("class"));if("clearspeak"!==sre.Engine.getInstance().domain)return a;-1!=="fghFGH".split("").indexOf(a.textContent)&&(a.role=sre.SemanticAttr.Role.SIMPLEFUNC);return a};sre.SemanticMathml.prototype.number_=function(a,b){a=this.leaf_(a);sre.SemanticProcessor.number(a);return a};
+sre.SemanticMathml.prototype.operator_=function(a,b){a=this.leaf_(a);a.type===sre.SemanticAttr.Type.UNKNOWN&&(a.type=sre.SemanticAttr.Type.OPERATOR);return a};sre.SemanticMathml.prototype.fenced_=function(a,b){b=this.parseList(sre.SemanticUtil.purgeNodes(b));var c=sre.SemanticMathml.getAttribute_(a,"separators",","),d=sre.SemanticMathml.getAttribute_(a,"open","(");a=sre.SemanticMathml.getAttribute_(a,"close",")");a=sre.SemanticProcessor.getInstance().mfenced(d,a,c,b);return sre.SemanticProcessor.getInstance().tablesInRow([a])[0]};
+sre.SemanticMathml.prototype.enclosed_=function(a,b){b=this.parseList(sre.SemanticUtil.purgeNodes(b));b=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ENCLOSE,[sre.SemanticProcessor.getInstance().row(b)],[]);b.role=a.getAttribute("notation")||sre.SemanticAttr.Role.UNKNOWN;return b};
+sre.SemanticMathml.prototype.multiscripts_=function(a,b){if(!b.length)return this.getFactory().makeEmptyNode();a=this.parse(b.shift());if(!b.length)return a;for(var c=[],d=[],e=[],f=[],g=!1,h=0,k=0,l;l=b[k];k++)"MPRESCRIPTS"===sre.DomUtil.tagName(l)?(g=!0,h=0):(g?h&1?c.push(l):d.push(l):h&1?e.push(l):f.push(l),h++);return sre.SemanticUtil.purgeNodes(c).length||sre.SemanticUtil.purgeNodes(d).length?sre.SemanticProcessor.getInstance().tensor(a,this.parseList(d),this.parseList(c),this.parseList(f),this.parseList(e)):
+sre.SemanticProcessor.getInstance().pseudoTensor(a,this.parseList(f),this.parseList(e))};sre.SemanticMathml.prototype.empty_=function(a,b){return this.getFactory().makeEmptyNode()};sre.SemanticMathml.prototype.action_=function(a,b){return 1<b.length?this.parse(b[1]):this.getFactory().makeUnprocessed(a)};sre.SemanticMathml.prototype.dummy_=function(a,b){return this.getFactory().makeUnprocessed(a)};sre.SemanticMathml.prototype.leaf_=function(a){return this.getFactory().makeLeafNode(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")))};
+sre.SemanticMathml.getAttribute_=function(a,b,c){if(!a.hasAttribute(b))return c;a=a.getAttribute(b);return a.match(/^\s*$/)?null:a};sre.SemanticTree=function(a){this.mathml=a;this.parser=new sre.SemanticMathml;this.root=this.parser.parse(a);this.collator=this.parser.getFactory().leafMap.collateMeaning();var b=this.collator.newDefault();b&&(this.parser=new sre.SemanticMathml,this.parser.getFactory().defaultMap=b,this.root=this.parser.parse(a));sre.SemanticTree.implicitVisitor_.visit(this.root,{});sre.SemanticTree.unitVisitor_.visit(this.root,{});sre.SemanticAnnotations.getInstance().annotate(this.root)};
+sre.SemanticTree.implicitVisitor_=new sre.SemanticVisitor("general",function(a,b){a.type===sre.SemanticAttr.Type.INFIXOP&&a.role===sre.SemanticAttr.Role.MULTIPLICATION&&a.contentNodes.every(function(c){return!c.embellished&&c.textContent===sre.SemanticAttr.invisibleTimes()})&&(a.role=sre.SemanticAttr.Role.IMPLICIT);return!1});
+sre.SemanticTree.unitVisitor_=new sre.SemanticVisitor("general",function(a,b){a.type===sre.SemanticAttr.Type.INFIXOP&&a.role===sre.SemanticAttr.Role.MULTIPLICATION&&(b=a.childNodes,b.length&&(sre.SemanticPred.isPureUnit(b[0])||sre.SemanticPred.isUnitCounter(b[0]))&&a.childNodes.slice(1).every(sre.SemanticPred.isPureUnit)&&(a.role=sre.SemanticAttr.Role.UNIT));return!1});sre.SemanticTree.empty=function(){var a=sre.DomUtil.parseInput("<math/>"),b=new sre.SemanticTree(a);b.mathml=a;return b};
+sre.SemanticTree.fromNode=function(a,b){var c=sre.SemanticTree.empty();c.root=a;b&&(c.mathml=b);return c};sre.SemanticTree.fromRoot=function(a,b){for(;a.parent;)a=a.parent;a=sre.SemanticTree.fromNode(a);b&&(a.mathml=b);return a};sre.SemanticTree.prototype.xml=function(a){var b=sre.DomUtil.parseInput("<stree></stree>");a=this.root.xml(b.ownerDocument,a);b.appendChild(a);return b};sre.SemanticTree.prototype.toString=function(a){return(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(this.xml(a))};
+sre.SemanticTree.prototype.formatXml=function(a){a=this.toString(a);return sre.DomUtil.formatXml(a)};sre.SemanticTree.prototype.displayTree=function(){this.root.displayTree()};sre.SemanticTree.prototype.replaceNode=function(a,b){var c=a.parent;c?c.replaceChild(a,b):this.root=b};sre.SemanticTree.prototype.toJson=function(){var a={};a.stree=this.root.toJson();return a};sre.Semantic={};sre.Semantic.Font=sre.SemanticAttr.Font;sre.Semantic.Role=sre.SemanticAttr.Role;sre.Semantic.Type=sre.SemanticAttr.Type;sre.Semantic.xmlTree=function(a){return sre.Semantic.getTree(a).xml()};sre.Semantic.getTree=function(a){return new sre.SemanticTree(a)};sre.Semantic.getTreeFromString=function(a){a=sre.DomUtil.parseInput(a);return sre.Semantic.getTree(a)};sre.MathspeakUtil={};sre.MathspeakUtil.spaceoutText=function(a){return a.textContent.split("").join(" ")};sre.MathspeakUtil.spaceoutNodes=function(a,b){var c=a.textContent.split(""),d=[],e=sre.SemanticProcessor.getInstance();a=a.ownerDocument;for(var f=0,g;g=c[f];f++)g=e.identifierNode(g,sre.Semantic.Font.UNKNOWN,""),b(g),d.push(g.xml(a));return d};sre.MathspeakUtil.spaceoutNumber=function(a){return sre.MathspeakUtil.spaceoutNodes(a,function(b){b.textContent.match(/\W/)||(b.type=sre.Semantic.Type.NUMBER)})};
+sre.MathspeakUtil.spaceoutIdentifier=function(a){return sre.MathspeakUtil.spaceoutNodes(a,function(b){b.font=sre.Semantic.Font.UNKNOWN;b.type=sre.Semantic.Type.IDENTIFIER})};
+sre.MathspeakUtil.nestingBarriers=[sre.Semantic.Type.CASES,sre.Semantic.Type.CELL,sre.Semantic.Type.INTEGRAL,sre.Semantic.Type.LINE,sre.Semantic.Type.MATRIX,sre.Semantic.Type.MULTILINE,sre.Semantic.Type.OVERSCORE,sre.Semantic.Type.ROOT,sre.Semantic.Type.ROW,sre.Semantic.Type.SQRT,sre.Semantic.Type.SUBSCRIPT,sre.Semantic.Type.SUPERSCRIPT,sre.Semantic.Type.TABLE,sre.Semantic.Type.UNDERSCORE,sre.Semantic.Type.VECTOR];sre.MathspeakUtil.nestingDepth={};
+sre.MathspeakUtil.resetNestingDepth=function(a){sre.MathspeakUtil.nestingDepth={};return[a]};
+sre.MathspeakUtil.getNestingDepth=function(a,b,c,d,e,f){d=d||sre.MathspeakUtil.nestingBarriers;e=e||{};f=f||function(h){return!1};var g=(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(b);sre.MathspeakUtil.nestingDepth[a]||(sre.MathspeakUtil.nestingDepth[a]={});if(sre.MathspeakUtil.nestingDepth[a][g])return sre.MathspeakUtil.nestingDepth[a][g];if(f(b)||0>c.indexOf(b.tagName))return 0;b=sre.MathspeakUtil.computeNestingDepth_(b,c,sre.BaseUtil.setdifference(d,c),e,f,0);return sre.MathspeakUtil.nestingDepth[a][g]=
+b};sre.MathspeakUtil.containsAttr=function(a,b){if(!a.attributes)return!1;a=sre.DomUtil.toArray(a.attributes);for(var c=0,d;d=a[c];c++)if(b[d.nodeName]===d.nodeValue)return!0;return!1};
+sre.MathspeakUtil.computeNestingDepth_=function(a,b,c,d,e,f){if(e(a)||-1<c.indexOf(a.tagName)||sre.MathspeakUtil.containsAttr(a,d))return f;-1<b.indexOf(a.tagName)&&f++;if(!a.childNodes||0===a.childNodes.length)return f;a=sre.DomUtil.toArray(a.childNodes);return Math.max.apply(null,a.map(function(g){return sre.MathspeakUtil.computeNestingDepth_(g,b,c,d,e,f)}))};
+sre.MathspeakUtil.fractionNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("fraction",a,["fraction"],sre.MathspeakUtil.nestingBarriers,{},sre.Messages.MS_FUNC.FRAC_NEST_DEPTH)};sre.MathspeakUtil.nestedFraction=function(a,b,c){a=sre.MathspeakUtil.fractionNestingDepth(a);a=Array.apply(null,Array(a)).map(function(d){return b});c&&a.push(c);return a.join(sre.Messages.REGEXP.JOINER_FRAC)};
+sre.MathspeakUtil.openingFractionVerbose=function(a){return sre.MathspeakUtil.nestedFraction(a,sre.Messages.MS.START,sre.Messages.MS.FRAC_V)};sre.MathspeakUtil.closingFractionVerbose=function(a){return sre.MathspeakUtil.nestedFraction(a,sre.Messages.MS.END,sre.Messages.MS.FRAC_V)};sre.MathspeakUtil.overFractionVerbose=function(a){return sre.MathspeakUtil.nestedFraction(a,sre.Messages.MS.FRAC_OVER)};
+sre.MathspeakUtil.openingFractionBrief=function(a){return sre.MathspeakUtil.nestedFraction(a,sre.Messages.MS.START,sre.Messages.MS.FRAC_B)};sre.MathspeakUtil.closingFractionBrief=function(a){return sre.MathspeakUtil.nestedFraction(a,sre.Messages.MS.END,sre.Messages.MS.FRAC_B)};
+sre.MathspeakUtil.openingFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.FRAC_S:sre.Messages.MS_FUNC.COMBINE_NESTED_FRACTION(sre.Messages.MS.NEST_FRAC,sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1),sre.Messages.MS.FRAC_S)};
+sre.MathspeakUtil.closingFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.ENDFRAC:sre.Messages.MS_FUNC.COMBINE_NESTED_FRACTION(sre.Messages.MS.NEST_FRAC,sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1),sre.Messages.MS.ENDFRAC)};
+sre.MathspeakUtil.overFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.FRAC_OVER:sre.Messages.MS_FUNC.COMBINE_NESTED_FRACTION(sre.Messages.MS.NEST_FRAC,sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1),sre.Messages.MS.FRAC_OVER)};sre.MathspeakUtil.isSmallVulgarFraction=function(a){return sre.NumbersUtil.vulgarFractionSmall(a,10,100)?[a]:[]};
+sre.MathspeakUtil.nestedSubSuper=function(a,b,c){for(;a.parentNode;){var d=a.parentNode,e=d.parentNode,f=a.getAttribute&&a.getAttribute("role");if(e.tagName===sre.Semantic.Type.SUBSCRIPT&&a===d.childNodes[1]||e.tagName===sre.Semantic.Type.TENSOR&&f&&(f===sre.Semantic.Role.LEFTSUB||f===sre.Semantic.Role.RIGHTSUB))b=c.sub+sre.Messages.REGEXP.JOINER_SUBSUPER+b;if(e.tagName===sre.Semantic.Type.SUPERSCRIPT&&a===d.childNodes[1]||e.tagName===sre.Semantic.Type.TENSOR&&f&&(f===sre.Semantic.Role.LEFTSUPER||
+f===sre.Semantic.Role.RIGHTSUPER))b=c.sup+sre.Messages.REGEXP.JOINER_SUBSUPER+b;a=e}return b.trim()};sre.MathspeakUtil.subscriptVerbose=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUBSCRIPT,{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB})};sre.MathspeakUtil.subscriptBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUB,{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})};
+sre.MathspeakUtil.superscriptVerbose=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUPERSCRIPT,{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB})};sre.MathspeakUtil.superscriptBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUP,{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})};
+sre.MathspeakUtil.baselineVerbose=function(a){return(a=sre.MathspeakUtil.nestedSubSuper(a,"",{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB}))?a.replace(new RegExp(sre.Messages.MS.SUB+"$"),sre.Messages.MS.SUBSCRIPT).replace(new RegExp(sre.Messages.MS.SUPER+"$"),sre.Messages.MS.SUPERSCRIPT):sre.Messages.MS.BASELINE};sre.MathspeakUtil.baselineBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,"",{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})||sre.Messages.MS.BASE};
+sre.MathspeakUtil.radicalNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("radical",a,["sqrt","root"],sre.MathspeakUtil.nestingBarriers,{})};sre.MathspeakUtil.nestedRadical=function(a,b,c){var d=sre.MathspeakUtil.radicalNestingDepth(a);c=(a=sre.MathspeakUtil.getRootIndex(a))?sre.Messages.MS_FUNC.COMBINE_ROOT_INDEX(c,a):c;return 1===d?c:sre.Messages.MS_FUNC.COMBINE_NESTED_RADICAL(b,sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(d-1),c)};
+sre.MathspeakUtil.getRootIndex=function(a){a="sqrt"===a.tagName?"2":sre.XpathUtil.evalXPath("children/*[1]",a)[0].textContent.trim();return sre.Messages.MS_ROOT_INDEX[a]||""};sre.MathspeakUtil.openingRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.STARTROOT)};sre.MathspeakUtil.closingRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.ENDROOT)};
+sre.MathspeakUtil.indexRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.ROOTINDEX)};sre.MathspeakUtil.openingRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.STARTROOT)};sre.MathspeakUtil.closingRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ENDROOT)};
+sre.MathspeakUtil.indexRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ROOTINDEX)};sre.MathspeakUtil.openingRadicalSbrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ROOT)};sre.MathspeakUtil.indexRadicalSbrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.INDEX)};
+sre.MathspeakUtil.underscoreNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("underscore",a,["underscore"],sre.MathspeakUtil.nestingBarriers,{},function(b){return b.tagName&&b.tagName===sre.Semantic.Type.UNDERSCORE&&b.childNodes[0].childNodes[1].getAttribute("role")===sre.Semantic.Role.UNDERACCENT})};sre.MathspeakUtil.nestedUnderscore=function(a){a=sre.MathspeakUtil.underscoreNestingDepth(a);return Array(a).join(sre.Messages.MS.UNDER)+sre.Messages.MS.UNDERSCRIPT};
+sre.MathspeakUtil.overscoreNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("overscore",a,["overscore"],sre.MathspeakUtil.nestingBarriers,{},function(b){return b.tagName&&b.tagName===sre.Semantic.Type.OVERSCORE&&b.childNodes[0].childNodes[1].getAttribute("role")===sre.Semantic.Role.OVERACCENT})};sre.MathspeakUtil.nestedOverscore=function(a){a=sre.MathspeakUtil.overscoreNestingDepth(a);return Array(a).join(sre.Messages.MS.OVER)+sre.Messages.MS.OVERSCRIPT};
+sre.MathspeakUtil.determinantIsSimple=function(a){if(a.tagName!==sre.Semantic.Type.MATRIX||a.getAttribute("role")!==sre.Semantic.Role.DETERMINANT)return[];for(var b=sre.XpathUtil.evalXPath("children/row/children/cell/children/*",a),c=0,d;d=b[c];c++)if(d.tagName!==sre.Semantic.Type.NUMBER){if(d.tagName===sre.Semantic.Type.IDENTIFIER&&(d=d.getAttribute("role"),d===sre.Semantic.Role.LATINLETTER||d===sre.Semantic.Role.GREEKLETTER||d===sre.Semantic.Role.OTHERLETTER))continue;return[]}return[a]};
+sre.MathspeakUtil.generateBaselineConstraint=function(){var a=function(g){return g.map(function(h){return"ancestor::"+h})},b="not("+a(["subscript","superscript","tensor"]).join(" or ")+")",c=a(["relseq","multrel"]);a=a(["fraction","punctuation","fenced","sqrt","root"]);for(var d=[],e=0,f;f=a[e];e++)d=d.concat(c.map(function(g){return f+"/"+g}));c="not("+d.join(" | ")+")";return["ancestor::*/following-sibling::*",b,c].join(" and ")};
+sre.MathspeakUtil.removeParens=function(a){if(!a.childNodes.length||!a.childNodes[0].childNodes.length||!a.childNodes[0].childNodes[0].childNodes.length)return"";a=a.childNodes[0].childNodes[0].childNodes[0].textContent;return a.match(/^\(.+\)$/)?a.slice(1,-1):a};sre.MathspeakUtil.componentString_={3:"CSFleftsuperscript",4:"CSFleftsubscript",2:"CSFbaseline",1:"CSFrightsubscript",0:"CSFrightsuperscript"};sre.MathspeakUtil.childNumber_={4:2,3:3,2:1,1:4,0:5};
+sre.MathspeakUtil.generateTensorRuleStrings_=function(a){var b=[],c="",d="";a=parseInt(a,2);for(var e=0;5>e;e++){var f="children/*["+sre.MathspeakUtil.childNumber_[e]+"]";if(a&1){var g=sre.MathspeakUtil.componentString_[e%5];c="[t] "+g+"Verbose; [n] "+f+";"+c;d="[t] "+g+"Brief; [n] "+f+";"+d}else b.unshift("name("+f+')="empty"');a>>=1}b.push(c);b.push(d);return b};
+sre.MathspeakUtil.generateTensorRules=function(a){var b=goog.bind(a.defineRule,a),c=goog.bind(a.defineRulesAlias,a);a=goog.bind(a.defineSpecialisedRule,a);for(var d="11111 11110 11101 11100 10111 10110 10101 10100 01111 01110 01101 01100".split(" "),e=0,f;f=d[e];e++){var g="tensor"+f;f=sre.MathspeakUtil.generateTensorRuleStrings_(f);var h=f.pop(),k=f.pop(),l=[g,"default",k,"self::tensor"].concat(f),m=[g,"brief",h,"self::tensor"].concat(f);b.apply(null,l);b.apply(null,m);a(g,"brief","sbrief");l=sre.MathspeakUtil.componentString_[2];
+k+="; [t]"+l+"Verbose";h+="; [t]"+l+"Brief";g+="-baseline";l=[g,"default",k,"self::tensor","following-sibling::*"].concat(f);m=[g,"brief",h,"self::tensor","following-sibling::*"].concat(f);b.apply(null,l);b.apply(null,m);a(g,"brief","sbrief");g=[g,"self::tensor","not(following-sibling::*)","ancestor::fraction|ancestor::punctuated|ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::relseq|ancestor::multirel|@embellished"].concat(f);c.apply(null,g)}};sre.Locale={};sre.Locale.nestingToString=function(a){switch(a){case 1:return sre.Messages.MS.ONCE||"";case 2:return sre.Messages.MS.TWICE;default:return a.toString()}};sre.Locale.vulgarNestingDepth=function(a){return!!sre.MathspeakUtil.isSmallVulgarFraction(a).length};sre.Locale.combinePostfixIndex=function(a,b){return a===sre.Messages.MS.ROOTINDEX||a===sre.Messages.MS.INDEX?a:a+" "+b};sre.Locale.localFont=function(a){var b=sre.Messages.FONT[a];void 0===b&&(b=a||"");return"string"===typeof b?b:b[0]};
+sre.Grammar.getInstance().setCorrection("localFont",sre.Locale.localFont);sre.Locale.localRole=function(a){return sre.Messages.ROLE[a]||a};sre.Grammar.getInstance().setCorrection("localRole",sre.Locale.localRole);sre.Locale.localEnclose=function(a){return sre.Messages.ENCLOSE[a]||a};sre.Grammar.getInstance().setCorrection("localEnclose",sre.Locale.localEnclose);sre.Locale.makePlural=function(a){var b=sre.Messages.PLURAL_UNIT[a];return b?b:sre.Messages.PLURAL(a)};
+sre.Grammar.getInstance().setCorrection("plural",sre.Locale.makePlural);sre.Locale.prefixCombiner=function(a,b,c){a=c?c+" "+a:a;return b?b+" "+a:a};sre.Locale.postfixCombiner=function(a,b,c){a=c?c+" "+a:a;return b?a+" "+b:a};sre.Numbers.de={};sre.Numbers.de.onesNumbers_=" eins zwei drei vier f\u00fcnf sechs sieben acht neun zehn elf zw\u00f6lf dreizehn vierzehn f\u00fcnfzehn sechzehn siebzehn achtzehn neunzehn".split(" ");sre.Numbers.de.tensNumbers_="  zwanzig drei\u00dfig vierzig f\u00fcnfzig sechzig siebzig achtzig neunzig".split(" ");sre.Numbers.de.largeNumbers_=" tausend million milliarde billion billiarde trillion trilliard quadrillion quadrilliard quintillion quintilliarde sextillion sextilliarde".split(" ");
+sre.Numbers.de.onePrefix_=function(a){return a===sre.Numbers.de.onesNumbers_[1]?"ein":a};sre.Numbers.de.hundredsToWords_=function(a){a%=1E3;var b=sre.Numbers.de.onesNumbers_[Math.floor(a/100)];var c=b?sre.Numbers.de.onePrefix_(b)+"hundert":"";if(a%=100)if(c+=c?sre.Numbers.de.NUMBERS.numSep:"",b=sre.Numbers.de.onesNumbers_[a])c+=b;else{var d=sre.Numbers.de.tensNumbers_[Math.floor(a/10)];b=sre.Numbers.de.onesNumbers_[a%10];c+=b?sre.Numbers.de.onePrefix_(b)+"und"+d:d}return c};
+sre.Numbers.de.numberToWords=function(a){if(a>=Math.pow(10,36))return a.toString();for(var b=0,c="";0<a;){if(a%1E3){var d=sre.Numbers.de.hundredsToWords_(a%1E3);c=sre.Numbers.de.onePrefix_(d)+(b?sre.Numbers.de.largeNumbers_[b]:"")+c}a=Math.floor(a/1E3);b++}return c.replace(/ein$/,"eins")};sre.Numbers.de.numberToOrdinal=function(a,b){return 1===a?"eintel":2===a?b?"halbe":"halb":sre.Numbers.de.wordOrdinal(a)+"l"};
+sre.Numbers.de.wordOrdinal=function(a){return 1===a?"erste":3===a?"dritte":7===a?"siebte":8===a?"achte":sre.Numbers.de.numberToWords(a)+(19>a?"te":"ste")};sre.Numbers.de.simpleOrdinal=function(a){return a.toString()+"."};sre.Numbers.de.NUMBERS={wordOrdinal:sre.Numbers.de.wordOrdinal,simpleOrdinal:sre.Numbers.de.simpleOrdinal,numberToWords:sre.Numbers.de.numberToWords,numberToOrdinal:sre.Numbers.de.numberToOrdinal,vulgarSep:" ",numSep:""};var germanPrefixCombiner=function(a,b,c){"s"===c&&(b=b.split(" ").map(function(d){return d.replace(/s$/,"")}).join(" "),c="");a=c?c+" "+a:a;return b?b+" "+a:a},germanPostfixCombiner=function(a,b,c){a=c&&"s"!==c?c+" "+a:a;return b?a+" "+b:a};
+sre.Locale.de={MS:{START:"Anfang",FRAC_V:"Bruch",FRAC_B:"Bruch",FRAC_S:"Bruch",END:"Ende",FRAC_OVER:"durch",TWICE:"Twice",NEST_FRAC:"geschachtelt",ENDFRAC:"Ende Bruch",SUPER:"hoch",SUB:"Index",SUP:"hoch",SUPERSCRIPT:"hoch",SUBSCRIPT:"Index",BASELINE:"Grundlinie",BASE:"Grund",NESTED:"geschachtelte",NEST_ROOT:"geschachtelte",STARTROOT:"Anfang Wurzel",ENDROOT:"Ende Wurzel",ROOTINDEX:"Wurzelexponent",ROOT:"Wurzel",INDEX:"Exponent",UNDER:"Unter",UNDERSCRIPT:"Unterschrift",OVER:"\u00dcber",OVERSCRIPT:"\u00dcberschrift"},
+MS_FUNC:{FRAC_NEST_DEPTH:sre.Locale.vulgarNestingDepth,RADICAL_NEST_DEPTH:function(a){return 1<a?sre.Numbers.de.NUMBERS.numberToWords(a)+"fach":""},COMBINE_ROOT_INDEX:function(a,b){return a.replace("Wurzel",b?b+"wurzel":"")},COMBINE_NESTED_FRACTION:function(a,b,c){return a+b+c},COMBINE_NESTED_RADICAL:function(a,b,c){a=c.match(/exponent$/)?a+"r":a;a=(b?b+" ":"")+a;return c.match(/ /)?c.replace(/ /," "+a+" "):a+" "+c},FONT_REGEXP:function(a){a=a.split(" ").map(function(b){return b.replace(/s$/,"(|s)")}).join(" ");
+return new RegExp("((^"+a+" )|( "+a+"$))")}},MS_ROOT_INDEX:{2:"Quadrat",3:"Kubik"},FONT:{bold:"fettes","bold-fraktur":"fettes Fraktur","bold-italic":"fettkursives","bold-script":"fettes Schreibschrift",caligraphic:"kalligrafisches","caligraphic-bold":"fettes kalligrafisches","double-struck":["mit Doppelstrich",germanPostfixCombiner],"double-struck-italic":["kursiv mit Doppelstrich",germanPostfixCombiner],fraktur:"Fraktur",fullwidth:"vollbreites",italic:"kursives",monospace:"nichtproportionales",normal:"normales",
+oldstyle:"antiquiertes","oldstyle-bold":"antiquiertes fettes",script:"Schreibschrift","sans-serif":"serifenloses","sans-serif-italic":"serifenloses kursives","sans-serif-bold":"serifenloses fettes","sans-serif-bold-italic":"serifenloses fettkursives",unknown:"unbekannt"},EMBELLISH:{"super":"hoch",sub:"Index",circled:"eingekreistes",parenthesized:"eingeklammertes",period:["Punkt",germanPostfixCombiner],"negative-circled":"schwarz eingekreistes","double-circled":"doppelt eingekreistes","circled-sans-serif":"eingekreistes serifenloses",
+"negative-circled-sans-serif":"schwarz eingekreistes serifenloses",comma:["Komma",germanPostfixCombiner],squared:"umrahmtes","negative-squared":"schwarz umrahmtes"},ROLE:{addition:"Addition",multiplication:"Multiplikation",subtraction:"Subtraktion",division:"Division",equality:"Gleichung",inequality:"Ungleichung",element:"Element",arrow:"Pfeil",determinant:"Determinante",rowvector:"Zeilenvektor",binomial:"Binomialkoeffizient",squarematrix:"quadratische Matrize",multiline:"mehrzeiligem Ausdruck",matrix:"Matrize",
+vector:"Vektor",cases:"Fallunterscheidung",table:"Tabelle",unknown:"unbekannt"},ENCLOSE:{longdiv:"langer Bruchstrich",actuarial:"Bilanzsumme",radical:"Quadratwurzel",box:"rechteckige Umrandung",roundedbox:"abgerundete rechteckige Umrandung",circle:"kreis\u00e4hnliche Umrandung",left:"senkrechte Linie links",right:"senkrechte Linie rechts",top:"waagerechte Linie oberhalb",bottom:"waagerechte Linie unterhalb",updiagonalstrike:"durchgestrichen",downdiagonalstrike:"durchgestrichen",verticalstrike:"senkrecht durchgestrichen",
+horizontalstrike:"durchgestrichen",madruwb:"arabisches Fakult\u00e4tssymbol",updiagonalarrow:"Pfeil von links unten nach rechts oben",phasorangle:"phasor angle",unknown:"langer Bruchstrich"},NAVIGATE:{COLLAPSIBLE:"kollabierbar",EXPANDABLE:"ausfaltbar",LEVEL:"Niveau"},REGEXP:{TEXT:"a-zA-Z\u00e4\u00f6\u00fc\u00c4\u00d6\u00dc\u00df",NUMBER:"((\\d{1,3})(?=(.| ))((.| )\\d{3})*(\\,\\d+)?)|^\\d*\\,\\d+|^\\d+",DECIMAL_MARK:",",DIGIT_GROUP:"\\.",JOINER_SUBSUPER:" ",JOINER_FRAC:" "},PLURAL_UNIT:{Meile:"Meilen",
+Yard:"Yards",Joule:"Joules",Gallone:"Gallonen",Unze:"Unzen",Tonne:"Tonnen",Minute:"Minuten",Stunde:"Stunden",Sekunde:"Sekunden"},PLURAL:function(a){return a.match(/(B|b)yte$/)?a.replace(/yte$/,"ytes"):a},NUMBERS:sre.Numbers.de.NUMBERS,ALPHABETS:{latinSmall:"abcdefghijklmnopqrstuvwxyz".split(""),latinCap:"ABCDEFGHIJKLMNOPQRSTUVWXYZ".split(""),greekSmall:"nabla;alpha;beta;gamma;delta;epsilon;zeta;eta;theta;iota;kappa;lambda;my;ny;xi;omikron;pi;rho;abschlie\u00dfendes sigma;sigma;tau;ypsilon;phi;chi;psi;omega;partielle Ableitung;epsilon;theta;kappa;phi;rho;pi".split(";"),
+greekCap:"Alpha Beta Gamma Delta Epsilon Zeta Eta Theta Iota Kappa Lambda My Ny Xi Omikron Pi Rho Theta Sigma Tau Ypsilon Phi Chi Psi Omega".split(" ")},ALPHABET_TRANSFORMERS:{digit:{default:function(a){return 0===a?"null":sre.Numbers.de.numberToWords(a)},mathspeak:function(a){return a.toString()},clearspeak:function(a){return a.toString()}},letter:{default:function(a){return a}}},ALPHABET_PREFIXES:{capPrefix:{default:"gro\u00dfes"},smallPrefix:{default:""},digitPrefix:{default:"s"}},ALPHABET_COMBINER:germanPrefixCombiner};
+sre.Grammar.getInstance().setCorrection("correctOne",function(a){return a.replace(/^eins /,"ein ")});sre.Grammar.getInstance().setCorrection("localFontNumber",function(a){var b=sre.Messages.FONT[a];void 0===b&&(b=a||"");b="string"===typeof b?b:b[0];return b.split(" ").map(function(c){return c.replace(/s$/,"")}).join(" ")});sre.Grammar.getInstance().setCorrection("lowercase",function(a){return a.toLowerCase()});
+sre.Grammar.getInstance().setCorrection("article",function(a){return"dative"===sre.Grammar.getInstance().getParameter("case")?{der:"dem",die:"der",das:"dem"}[a]:a});sre.Grammar.getInstance().setCorrection("masculine",function(a){return"dative"===sre.Grammar.getInstance().getParameter("case")?a+"n":a});sre.Numbers.en={};sre.Numbers.en.onesNumbers_=" one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen".split(" ");sre.Numbers.en.tensNumbers_="  twenty thirty forty fifty sixty seventy eighty ninety".split(" ");sre.Numbers.en.largeNumbers_=" thousand million billion trillion quadrillion quintillion sextillion septillion octillion nonillion decillion".split(" ");
+sre.Numbers.en.hundredsToWords_=function(a){a%=1E3;var b=sre.Numbers.en.onesNumbers_[Math.floor(a/100)]?sre.Numbers.en.onesNumbers_[Math.floor(a/100)]+sre.Numbers.en.NUMBERS.numSep+"hundred":"";if(a%=100)b+=b?sre.Numbers.en.NUMBERS.numSep:"",b+=sre.Numbers.en.onesNumbers_[a]||sre.Numbers.en.tensNumbers_[Math.floor(a/10)]+(a%10?sre.Numbers.en.NUMBERS.numSep+sre.Numbers.en.onesNumbers_[a%10]:"");return b};
+sre.Numbers.en.numberToWords=function(a){if(a>=Math.pow(10,36))return a.toString();for(var b=0,c="";0<a;)a%1E3&&(c=sre.Numbers.en.hundredsToWords_(a%1E3)+(b?"-"+sre.Numbers.en.largeNumbers_[b]+"-":"")+c),a=Math.floor(a/1E3),b++;return c.replace(/-$/,"")};sre.Numbers.en.numberToOrdinal=function(a,b){if(1===a)return b?"oneths":"oneth";if(2===a)return b?"halves":"half";a=sre.Numbers.en.wordOrdinal(a);return b?a+"s":a};
+sre.Numbers.en.wordOrdinal=function(a){a=sre.Numbers.en.numberToWords(a);return a=a.match(/one$/)?a.slice(0,-3)+"first":a.match(/two$/)?a.slice(0,-3)+"second":a.match(/three$/)?a.slice(0,-5)+"third":a.match(/five$/)?a.slice(0,-4)+"fifth":a.match(/eight$/)?a.slice(0,-5)+"eighth":a.match(/nine$/)?a.slice(0,-4)+"ninth":a.match(/twelve$/)?a.slice(0,-6)+"twelfth":a.match(/ty$/)?a.slice(0,-2)+"tieth":a+"th"};
+sre.Numbers.en.simpleOrdinal=function(a){var b=a%100,c=a.toString();if(10<b&&20>b)return c+"th";switch(a%10){case 1:return c+"st";case 2:return c+"nd";case 3:return c+"rd";default:return c+"th"}};sre.Numbers.en.NUMBERS={wordOrdinal:sre.Numbers.en.wordOrdinal,simpleOrdinal:sre.Numbers.en.simpleOrdinal,numberToWords:sre.Numbers.en.numberToWords,numberToOrdinal:sre.Numbers.en.numberToOrdinal,vulgarSep:" ",numSep:" "};sre.Locale.en={MS:{START:"Start",FRAC_V:"Fraction",FRAC_B:"Frac",FRAC_S:"Frac",END:"End",FRAC_OVER:"Over",TWICE:"Twice",NEST_FRAC:"Nest",ENDFRAC:"EndFrac",SUPER:"Super",SUB:"Sub",SUP:"Sup",SUPERSCRIPT:"Superscript",SUBSCRIPT:"Subscript",BASELINE:"Baseline",BASE:"Base",NESTED:"Nested",NEST_ROOT:"Nest",STARTROOT:"StartRoot",ENDROOT:"EndRoot",ROOTINDEX:"RootIndex",ROOT:"Root",INDEX:"Index",UNDER:"Under",UNDERSCRIPT:"Underscript",OVER:"Over",OVERSCRIPT:"Overscript"},MS_FUNC:{FRAC_NEST_DEPTH:sre.Locale.vulgarNestingDepth,
+RADICAL_NEST_DEPTH:sre.Locale.nestingToString,COMBINE_ROOT_INDEX:function(a,b){return a},COMBINE_NESTED_FRACTION:function(a,b,c){return a+b+c},COMBINE_NESTED_RADICAL:function(a,b,c){return a+b+c},FONT_REGEXP:function(a){return new RegExp("^"+a.split(/ |-/).join("( |-)")+"( |-)")}},MS_ROOT_INDEX:{},FONT:{bold:"bold","bold-fraktur":"bold fraktur","bold-italic":"bold italic","bold-script":"bold script",caligraphic:"calligraphic","caligraphic-bold":"calligraphic bold","double-struck":"double struck",
+"double-struck-italic":"double struck italic",fraktur:"fraktur",fullwidth:"fullwidth",italic:"italic",monospace:"monospace",normal:"normal",oldstyle:"oldstyle","oldstyle-bold":"oldstyle bold",script:"script","sans-serif":"sans serif","sans-serif-italic":"sans serif italic","sans-serif-bold":"sans serif bold","sans-serif-bold-italic":"sans serif bold italic",unknown:"unknown"},EMBELLISH:{"super":"super",sub:"sub",circled:"circled",parenthesized:"parenthesized",period:["period",sre.Locale.postfixCombiner],
+"negative-circled":"black circled","double-circled":"double circled","circled-sans-serif":"circled sans serif","negative-circled-sans-serif":"black circled sans serif",comma:["comma",sre.Locale.postfixCombiner],squared:"squared","negative-squared":"black squared"},ROLE:{addition:"addition",multiplication:"multiplication",subtraction:"subtraction",division:"division",equality:"equality",inequality:"inequality",element:"element",arrow:"arrow",determinant:"determinant",rowvector:"row vector",binomial:"binomial",
+squarematrix:"square matrix",multiline:"multiple lines",matrix:"matrix",vector:"vector",cases:"case statement",table:"table",unknown:"unknown"},ENCLOSE:{longdiv:"long division",actuarial:"actuarial symbol",radical:"square root",box:"box",roundedbox:"rounded box",circle:"circle",left:"left vertical-line",right:"right vertical-line",top:"overbar",bottom:"underbar",updiagonalstrike:"crossout",downdiagonalstrike:"crossout",verticalstrike:"vertical strikeout",horizontalstrike:"crossout",madruwb:"Arabic factorial symbol",
+updiagonalarrow:"diagonal arrow",phasorangle:"phasor angle",unknown:"long division"},NAVIGATE:{COLLAPSIBLE:"collapsible",EXPANDABLE:"expandable",LEVEL:"Level"},REGEXP:{TEXT:"a-zA-Z",NUMBER:"((\\d{1,3})(?=(,| ))((,| )\\d{3})*(\\.\\d+)?)|^\\d*\\.\\d+|^\\d+",DECIMAL_MARK:"\\.",DIGIT_GROUP:",",JOINER_SUBSUPER:" ",JOINER_FRAC:""},PLURAL_UNIT:{foot:"feet",inch:"inches","square foot":"square feet","square inch":"square inches","cubic foot":"cubic feet","cubic inch":"cubic inches"},NUMBERS:sre.Numbers.en.NUMBERS,
+ALPHABETS:{latinSmall:"abcdefghijklmnopqrstuvwxyz".split(""),latinCap:"ABCDEFGHIJKLMNOPQRSTUVWXYZ".split(""),greekSmall:"nabla;alpha;beta;gamma;delta;epsilon;zeta;eta;theta;iota;kappa;lamda;mu;nu;xi;omicron;pi;rho;final sigma;sigma;tau;upsilon;phi;chi;psi;omega;partial differential;epsilon;theta;kappa;phi;rho;pi".split(";"),greekCap:"Alpha Beta Gamma Delta Epsilon Zeta Eta Theta Iota Kappa Lamda Mu Nu Xi Omicron Pi Rho Theta Sigma Tau Upsilon Phi Chi Psi Omega".split(" ")},ALPHABET_TRANSFORMERS:{digit:{default:function(a){return 0===
+a?"zero":sre.Numbers.en.numberToWords(a)},mathspeak:function(a){return a.toString()},clearspeak:function(a){return a.toString()}},letter:{default:function(a){return a}}},ALPHABET_PREFIXES:{capPrefix:{default:"cap",mathspeak:"upper"},smallPrefix:{default:""},digitPrefix:{default:""}},ALPHABET_COMBINER:sre.Locale.prefixCombiner};sre.Numbers.es={};sre.Numbers.es.onesNumbers_=" uno dos tres cuatro cinco seis siete ocho nueve diez once doce trece catorce quince diecis\u00e9is diecisiete dieciocho diecinueve veinte veintiuno veintid\u00f3s veintitr\u00e9s veinticuatro veinticinco veintis\u00e9is veintisiete veintiocho veintinueve".split(" ");sre.Numbers.es.tensNumbers_="   treinta cuarenta cincuenta sesenta setenta ochenta noventa".split(" ");sre.Numbers.es.hundredsNumbers_=" cien doscientos trescientos cuatrocientos quinientos seiscientos setecientos ochocientos novecientos".split(" ");
+sre.Numbers.es.largeNumbers_=";mil;mill\u00f3n;mil mill\u00f3nes;bill\u00f3n;mil bill\u00f3nes;trill\u00f3n;mil trill\u00f3nes;cuatrill\u00f3;mil cuatrill\u00f3es;quintill\u00f3n;mil quintill\u00f3nes;sextill\u00f3n;mil sextill\u00f3nes;septill\u00f3n;mil septill\u00f3nes;octill\u00f3n;mil octill\u00f3nes;nonill\u00f3n;mil nonill\u00f3nes;decill\u00f3n;mil decill\u00f3nes".split(";");
+sre.Numbers.es.tensToWords_=function(a){var b=a%100;if(30>b)return sre.Numbers.es.onesNumbers_[b];a=sre.Numbers.es.tensNumbers_[Math.floor(b/10)];b=sre.Numbers.es.onesNumbers_[b%10];return a&&b?a+" y "+b:a||b};sre.Numbers.es.hundredsToWords_=function(a){var b=a%1E3;a=Math.floor(b/100);var c=sre.Numbers.es.hundredsNumbers_[a];b=sre.Numbers.es.tensToWords_(b%100);return 1===a?b?c+"to "+b:c:c&&b?c+" "+b:c||b};
+sre.Numbers.es.numberToWords=function(a){if(a>=Math.pow(10,36))return a.toString();for(var b=0,c="";0<a;){var d=a%1E3;if(d){var e=sre.Numbers.es.largeNumbers_[b],f=sre.Numbers.es.hundredsToWords_(d);b?1===d?(e=e.match("/^mil( |$)/")?e:"un "+e,c=e+(c?" "+c:"")):(e=e.replace(/\u00f3n$/,"ones"),c=sre.Numbers.es.hundredsToWords_(d)+" "+e+(c?" "+c:"")):c=f}a=Math.floor(a/1E3);b++}return c};sre.Numbers.es.onesOrdinals_="primera segunda tercera cuarta quinta sexta s\u00e9ptima octava novena d\u00e9cima und\u00e9cima duod\u00e9cima".split(" ");
+sre.Numbers.es.tensOrdinals_="d\u00e9cima vig\u00e9sima trig\u00e9sima cuadrag\u00e9sima quincuag\u00e9sima sexag\u00e9sima septuag\u00e9sima octog\u00e9sima nonag\u00e9sima".split(" ");sre.Numbers.es.hundredsOrdinals_="cent\u00e9sima ducent\u00e9sima tricent\u00e9sima cuadringent\u00e9sima quingent\u00e9sima sexcent\u00e9sima septingent\u00e9sima octingent\u00e9sima noningent\u00e9sima".split(" ");
+sre.Numbers.es.numberToOrdinal=function(a,b){if(1999<a)return a.toString()+"a";if(12>=a)return sre.Numbers.es.onesOrdinals_[a-1];b=[];1E3<=a&&(a-=1E3,b.push("mil\u00e9sima"));if(!a)return b.join(" ");var c=Math.floor(a/100);0<c&&(b.push(sre.Numbers.es.hundredsOrdinals_[c-1]),a%=100);12>=a?b.push(sre.Numbers.es.onesOrdinals_[a-1]):(c=Math.floor(a/10),0<c&&(b.push(sre.Numbers.es.tensOrdinals_[c-1]),a%=10),0<a&&b.push(sre.Numbers.es.onesOrdinals_[a-1]));return b.join(" ")};
+sre.Numbers.es.simpleOrdinal=function(a){var b=sre.Grammar.getInstance().getParameter("gender");return a.toString()+("female"===b?"a":"o")};sre.Numbers.es.NUMBERS={simpleOrdinal:sre.Numbers.es.simpleOrdinal,numberToWords:sre.Numbers.es.numberToWords,numberToOrdinal:sre.Numbers.es.numberToOrdinal,vulgarSep:"-"};var sansserifCombiner=function(a,b,c){a="sans serif "+(c?c+" "+a:a);return b?a+" "+b:a};
+sre.Locale.es={MS:{START:"empezar",FRAC_V:"fracci\u00f3n",FRAC_B:"frac",FRAC_S:"frac",END:"finalizar",FRAC_OVER:"entre",TWICE:"",NEST_FRAC:"",ENDFRAC:"",SUPER:"super",SUB:"sub",SUP:"sup",SUPERSCRIPT:"super\u00edndice",SUBSCRIPT:"sub\u00edndice",BASELINE:"l\u00ednea base",BASE:"",NESTED:"",NEST_ROOT:"",STARTROOT:"empezar ra\u00edz",ENDROOT:"finalizar ra\u00edz",ROOTINDEX:"\u00edndice de ra\u00edz",ROOT:"ra\u00edz",INDEX:"",UNDER:"bajo",UNDERSCRIPT:"bajo\u00edndice",OVER:"sobre",OVERSCRIPT:"sobre\u00edndice"},
+MS_FUNC:{FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:function(a){return""},COMBINE_ROOT_INDEX:sre.Locale.combinePostfixIndex,COMBINE_NESTED_FRACTION:function(a,b,c){return a+b+c},COMBINE_NESTED_RADICAL:function(a,b,c){return a+c},FONT_REGEXP:function(a){return RegExp("^"+a+" ")}},MS_ROOT_INDEX:{2:"cuadrada",3:"c\u00fabica",4:"a la cuarta",5:"a la quinta",6:"a la sexta",7:"a la s\u00e9ptima",8:"a la octava",9:"a la novena",10:"a la d\u00e9cima"},FONT:{bold:"negrita","bold-fraktur":"negrita Fraktur",
+"bold-italic":"negrita cursiva","bold-script":"negrita script",caligraphic:"caligr\u00e1fica","caligraphic-bold":"caligr\u00e1fica negrita","double-struck":"negrita de pizarra","double-struck-italic":"negrita de pizarra cursiva",fraktur:"Fraktur",fullwidth:"ancho completo",italic:"cursiva",monospace:"monoespacio",normal:"normal",oldstyle:"estilo antiguo","oldstyle-bold":"estilo antiguo negrita",script:"script","sans-serif":"sans serif","sans-serif-italic":"sans serif cursiva","sans-serif-bold":"sans serif negrita",
+"sans-serif-bold-italic":"sans serif negrita cursiva",unknown:"desconocida"},ROLE:{addition:"adici\u00f3n",multiplication:"multiplicaci\u00f3n",subtraction:"resta",division:"divisi\u00f3n",equality:"igualdad",inequality:"desigualdad",element:"elemento",arrow:"flecha",determinant:"determinante",rowvector:"fila vector",binomial:"binomial",squarematrix:"matriz cuadrada",multiline:"l\u00edneas m\u00faltiples",matrix:"matriz",vector:"vector",cases:"declaraci\u00f3n de caso",table:"mesa",unknown:"desconocida"},
+ENCLOSE:{longdiv:"divisi\u00f3n larga",actuarial:"s\u00edmbolo actuarial",radical:"ra\u00edz cuadrada",box:"caja",roundedbox:"caja redondeada",circle:"c\u00edrculo",left:"barra vertical izquierda",right:"barra vertical derecha",top:"barra",bottom:"subbarra",updiagonalstrike:"tachadura",downdiagonalstrike:"tachadura",verticalstrike:"ponchado vertical",horizontalstrike:"cruce",madruwb:"s\u00edmbolo factorial \u00e1rabe",updiagonalarrow:"flecha diagonal",phasorangle:"\u00e1ngulo de fasores",unknown:"divisi\u00f3n larga"},
+EMBELLISH:{"super":"super\u00edndice",sub:"sub\u00edndice",circled:["en circulo",sre.Locale.postfixCombiner],parenthesized:["entre par\u00e9ntesis",sre.Locale.postfixCombiner],period:["punto",sre.Locale.postfixCombiner],"negative-circled":["en circulo negro",sre.Locale.postfixCombiner],"double-circled":["en doble circulo",sre.Locale.postfixCombiner],"circled-sans-serif":["en circulo",sansserifCombiner],"negative-circled-sans-serif":["en circulo negro",sansserifCombiner],comma:["coma",sre.Locale.postfixCombiner],
+squared:["en cuadrado",sre.Locale.postfixCombiner],"negative-squared":["en cuadrado negro",sre.Locale.postfixCombiner]},NAVIGATE:{COLLAPSIBLE:"plegable",EXPANDABLE:"ampliable",LEVEL:"nivel"},REGEXP:{TEXT:"a-zA-Z\u00e1\u00e9\u00ed\u00f3\u00fa\u00f1\u00c1\u00c9\u00cd\u00d3\u00da\u00d1",NUMBER:"((\\d{1,3})(?=( ))(( )\\d{3})*(,\\d+)?)|^\\d*,\\d+|^\\d+",DECIMAL_MARK:",",DIGIT_GROUP:"",JOINER_SUBSUPER:" ",JOINER_FRAC:" "},PLURAL_UNIT:{},PLURAL:function(a){return/.*s$/.test(a)?a:a+"s"},NUMBERS:sre.Numbers.es.NUMBERS,
+ALPHABETS:{latinSmall:"abcdefghijklmnopqrstuvwxyz".split(""),latinCap:"ABCDEFGHIJKLMNOPQRSTUVWXYZ".split(""),greekSmall:"nabla;alfa;beta;gamma;delta;\u00e9psilon;zeta;eta;theta;iota;kappa;lambda;mi;ni;xi;\u00f3micron;pi;rho;sigma final;sigma;tau;\u00edpsilon;phi;ji;psi;omega;diferencial parcial;\u00e9psilon;theta;kappa;phi;rho;pi".split(";"),greekCap:"Alfa Beta Gamma Delta \u00c9psilon Zeta Eta Theta Iota Kappa Lambda Mi Ni Xi \u00d3micron Pi Rho Theta Sigma Tau \u00cdpsilon Phi Ji Psi Omega".split(" ")},
+ALPHABET_TRANSFORMERS:{digit:{default:function(a){return 0===a?"cero":sre.Numbers.es.numberToWords(a)},mathspeak:function(a){return a.toString()},clearspeak:function(a){return a.toString()}},letter:{default:function(a){return a}}},ALPHABET_PREFIXES:{capPrefix:{default:"may\u00fascula"},smallPrefix:{default:""},digitPrefix:{default:""}},ALPHABET_COMBINER:sre.Locale.prefixCombiner,UNIT_TIMES:"por"};sre.Numbers.fr={};sre.Numbers.fr.SUB_ISO="fr";sre.Numbers.fr.onesNumbers_=" un deux trois quatre cinq six sept huit neuf dix onze douze treize quatorze quinze seize dix-sept dix-huit dix-neuf".split(" ");sre.Numbers.fr.tensNumbers_={fr:"  vingt trente quarante cinquante soixante soixante-dix quatre-vingts quatre-vingt-dix".split(" "),be:"  vingt trente quarante cinquante soixante septante quatre-vingts nonante".split(" "),sw:"  vingt trente quarante cinquante soixante septante huitante nonante".split(" ")};
+sre.Numbers.fr.largeNumbers_=";mille;millions;milliards;billions;mille billions;trillions;mille trillions;quadrillions;mille quadrillions;quintillions;mille quintillions".split(";");
+sre.Numbers.fr.hundredsToWords_=function(a){var b=a%1E3;a=sre.Numbers.fr.onesNumbers_[Math.floor(b/100)]?sre.Numbers.fr.onesNumbers_[Math.floor(b/100)]+"-cent":"";if(b%=100){a+=a?"-":"";var c=sre.Numbers.fr.onesNumbers_[b];if(c)a+=c;else{var d=sre.Numbers.fr.tensNumbers_[sre.Numbers.fr.SUB_ISO][Math.floor(b/10)];d.match(/\-dix$/)?(c=sre.Numbers.fr.onesNumbers_[b%10+10],a+=d.replace(/\-dix$/,"")+"-"+c):a+=d+(b%10?"-"+sre.Numbers.fr.onesNumbers_[b%10]:"")}}return(b=a.match(/s\-\w+$/))?a.replace(/s\-\w+$/,
+b[0].slice(1)):a.replace(/\-un$/,"-et-un")};
+sre.Numbers.fr.numberToWords=function(a){if(a>=Math.pow(10,36))return a.toString();for(var b=0,c="";0<a;){var d=a%1E3;if(d){var e=sre.Numbers.fr.largeNumbers_[b],f=sre.Numbers.fr.hundredsToWords_(d);e&&e.match(/^mille /)?(d=e.replace(/^mille /,""),c=c.match(RegExp(d))?f+(b?"-mille-":"")+c:c.match(RegExp(d.replace(/s$/,"")))?f+(b?"-mille-":"")+c.replace(d.replace(/s$/,""),d):f+(b?"-"+e+"-":"")+c):(e=1===d&&e?e.replace(/s$/,""):e,c=f+(b?"-"+e+"-":"")+c)}a=Math.floor(a/1E3);b++}return c.replace(/-$/,
+"")};sre.Numbers.fr.SMALL_ORDINAL={1:"uni\u00e8me",2:"demi",3:"tiers",4:"quart"};sre.Numbers.fr.numberToOrdinal=function(a,b){var c=sre.Numbers.fr.SMALL_ORDINAL[a]||sre.Numbers.fr.wordOrdinal(a);return 3===a?c:b?c+"s":c};sre.Numbers.fr.wordOrdinal=function(a){if(1===a)return"premi\u00e8re";a=sre.Numbers.fr.numberToWords(a);a.match(/^neuf$/)?a=a.slice(0,-1)+"v":a.match(/cinq$/)?a+="u":a.match(/trois$/)||!a.match(/e$/)&&!a.match(/s$/)||(a=a.slice(0,-1));return a+"i\u00e8me"};
+sre.Numbers.fr.simpleOrdinal=function(a){var b=sre.Grammar.getInstance().getParameter("gender");return 1===a?a.toString()+("male"===b?"er":"re"):a.toString()+"e"};sre.Numbers.fr.NUMBERS={wordOrdinal:sre.Numbers.fr.wordOrdinal,simpleOrdinal:sre.Numbers.fr.simpleOrdinal,numberToWords:sre.Numbers.fr.numberToWords,numberToOrdinal:sre.Numbers.fr.numberToOrdinal,vulgarSep:"-"};sre.Locale.fr={MS:{START:"d\u00e9but",FRAC_V:"fraction",FRAC_B:"frac",FRAC_S:"frac",END:"fin",FRAC_OVER:"sur",ONCE:"1",TWICE:"2",NEST_FRAC:"imbriqu\u00e9e",ENDFRAC:"fin frac",SUPER:"sup",SUB:"sub",SUP:"sup",SUPERSCRIPT:"exposant",SUBSCRIPT:"indice",BASELINE:"position de base",BASE:"position de base",NESTED:"imbriqu\u00e9e",NEST_ROOT:"imbriqu\u00e9e",STARTROOT:"d\u00e9but racine",ENDROOT:"fin racine",ROOTINDEX:"indice du radical",ROOT:"racine",INDEX:"indice",UNDER:"sous",UNDERSCRIPT:"souscript",OVER:"sus",
+OVERSCRIPT:"suscript"},MS_FUNC:{FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:sre.Locale.nestingToString,COMBINE_ROOT_INDEX:sre.Locale.combinePostfixIndex,COMBINE_NESTED_FRACTION:function(a,b,c){return c.replace(/ $/g,"")+b+a},COMBINE_NESTED_RADICAL:function(a,b,c){return c+" "+a},FONT_REGEXP:function(a){return RegExp(" (en |)"+a+"$")}},MS_ROOT_INDEX:{2:"carr\u00e9e",3:"cubique"},FONT:{bold:"en gras","bold-fraktur":"en gothique gras","bold-italic":"en italique gras","bold-script":"de ronde en gras",
+caligraphic:"en calligraphique","caligraphic-bold":"en calligraphique gras","double-struck":"ajour\u00e9","double-struck-italic":"ajour\u00e9 en italique",fraktur:"en gothique",fullwidth:"en pleine largeur",italic:"en italique",monospace:"en chasse fixe",normal:"en normal",oldstyle:"en ancien","oldstyle-bold":"en ancien gras",script:"de ronde","sans-serif":"sans empattement","sans-serif-italic":"en italique sans empattement","sans-serif-bold":"en gras sans empattement","sans-serif-bold-italic":"en italique gras sans empattement",
+unknown:"inconnu"},EMBELLISH:{"super":["exposant",sre.Locale.prefixCombiner],sub:["indice",sre.Locale.prefixCombiner],circled:"encercl\u00e9",parenthesized:"entre parenth\u00e8ses",period:"un point","negative-circled":"encercl\u00e9 noir","double-circled":"encercl\u00e9 double","circled-sans-serif":"sans empattement encercl\u00e9","negative-circled-sans-serif":"sans empattement encercl\u00e9 noir",comma:"virgule",squared:"encadr\u00e9","negative-squared":"encadr\u00e9 inverse"},ROLE:{addition:"addition",
+multiplication:"multiplication",subtraction:"soustraction",division:"division",equality:"\u00e9galit\u00e9",inequality:"in\u00e9galit\u00e9",element:"\u00e9l\u00e9ment",arrow:"fl\u00e8che",determinant:"d\u00e9terminant",rowvector:"vecteur-rang\u00e9e",binomial:"binomial",squarematrix:"matrice carr\u00e9e","set empty":"ensemble vide","set extended":"extension","set singleton":"singleton","set collection":"collection",label:"\u00e9tiquette",multiline:"multi-ligne",matrix:"matrice",vector:"vecteur",
+cases:"d\u00e9claration de cas",table:"tableau",unknown:"inconnu"},ENCLOSE:{longdiv:"longue division",actuarial:"notation actuarielle",radical:"radical",box:"bo\u00eete",roundedbox:"bo\u00eete arrondie",circle:"cercle",left:"barre verticale gauche",right:"barre verticale droite",top:"trait suscrit",bottom:"trait souscrit",updiagonalstrike:"texte biff\u00e9 diagonal montant",downdiagonalstrike:"texte biff\u00e9 diagonal descendant",verticalstrike:"texte biff\u00e9 vertical",horizontalstrike:"texte biff\u00e9 horizontal",
+madruwb:"symbole factorielle arabe",updiagonalarrow:"fl\u00e8che diagonale montante",phasorangle:"angle de phase",unknown:"division longue"},NAVIGATE:{COLLAPSIBLE:"compressible",EXPANDABLE:"d\u00e9compressible",LEVEL:"niveau"},REGEXP:{TEXT:"a-zA-Z\u00e0\u00e2\u00e6\u00e7\u00e9\u00e8\u00ea\u00eb\u00ee\u00ef\u00f4\u0153\u00f9\u00fb\u00fc\u00ff\u00c0\u00c2\u00c6\u00c7\u00c9\u00c8\u00ca\u00cb\u00ce\u00cf\u00d4\u0152\u00d9\u00db\u00dc\u0178",NUMBER:"((\\d{1,3})(?=( ))(( )\\d{3})*(,\\d+)?)|^\\d*,\\d+|^\\d+",
+DECIMAL_MARK:",",DIGIT_GROUP:"",JOINER_SUBSUPER:"-",JOINER_FRAC:" "},PLURAL_UNIT:{foot:"feet",inch:"inches"},NUMBERS:sre.Numbers.fr.NUMBERS,ALPHABETS:{latinSmall:"abcdefghijklmnopqrstuvwxyz".split(""),latinCap:"ABCDEFGHIJKLMNOPQRSTUVWXYZ".split(""),greekSmall:"nabla;alpha;b\u00eata;gamma;delta;epsilon;z\u00eata;\u00eata;th\u00eata;iota;kappa;lambda;m\u00fb;n\u00fb;xi;omicron;pi;rh\u00f4;sigma final;sigma;tau;upsilon;phi;chi;psi;om\u00e9ga;d\u00e9riv\u00e9e partielle;epsilon;th\u00eata;kappa;phi;rh\u00f4;pi".split(";"),
+greekCap:"Alpha B\u00eata Gamma Delta Epsilon Z\u00eata \u00cata Th\u00eata Iota Kappa Lambda M\u00fb N\u00fb Xi Omicron Pi Rh\u00f4 Th\u00eata Sigma Tau Upsilon Phi Chi Psi Om\u00e9ga".split(" ")},ALPHABET_TRANSFORMERS:{digit:{default:function(a){return 0===a?"zero":sre.Numbers.fr.numberToWords(a)},mathspeak:function(a){return a.toString()},clearspeak:function(a){return a.toString()}},letter:{default:function(a){return a}}},ALPHABET_PREFIXES:{capPrefix:{default:"majuscule"},smallPrefix:{default:""},
+digitPrefix:{default:""}},ALPHABET_COMBINER:function(a,b,c){a=c?a+" "+c:a;return b?a+" "+b:a}};sre.Numbers.nemeth={};sre.Numbers.nemeth.oneNumbers_="\u2834\u2802\u2806\u2812\u2832\u2822\u2816\u2836\u2826\u2814".split("");sre.Numbers.nemeth.numberToWords=function(a){return a.toString().split("").map(function(b){return sre.Numbers.nemeth.oneNumbers_[parseInt(b,10)]}).join("")};sre.Numbers.nemeth.NUMBERS={numberToWords:sre.Numbers.nemeth.numberToWords,simpleOrdinal:sre.Numbers.nemeth.numberToWords};var postfixCombiner=function(a,b,c){return b?a+b:a},embellishCombiner=function(a,b,c){return b+(c?c:"\u2830")+a+"\u283b"},doubleEmbellishCombiner=function(a,b,c){return b+(c?c:"\u2830")+a+"\u283b\u283b"},parensCombiner=function(a,b,c){return b+(c?c:"\u2830")+a+"\u283e"};
+sre.Locale.nemeth={MS:{FRACTION_REPEAT:"\u2820",FRACTION_START:"\u2839",FRAC_V:"\u2839",FRAC_B:"Frac",FRAC_S:"Frac",END:"\u2820",FRACTION_OVER:"\u280c",TWICE:"Twice",NEST_FRAC:"Nest",ENDFRAC:"\u283c",FRACTION_END:"\u283c",SUPER:"\u2818",SUB:"\u2830",SUP:"\u2818",SUPERSCRIPT:"\u2818",SUBSCRIPT:"\u2830",BASELINE:"\u2810",BASE:"\u2810",NESTED:"\u2828",NEST_ROOT:"Nest",STARTROOT:"\u281c",ENDROOT:"\u283b",ROOTINDEX:"\u2823",ROOT:"\u2828",INDEX:"\u2823",UNDER:"\u2829",UNDERSCRIPT:"\u2829",OVER:"\u2823",
+OVERSCRIPT:"\u2823"},MS_FUNC:{FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:function(a){return""},COMBINE_ROOT_INDEX:function(a,b){return a},FONT_REGEXP:function(a){return RegExp("^"+a)}},MS_ROOT_INDEX:{},FONT:{bold:"\u2838","bold-fraktur":"\u2838\u2800\u2838","bold-italic":"\u2838\u2828","bold-script":"\u2838\u2808",caligraphic:"\u2808","caligraphic-bold":"\u2808\u2838","double-struck":"\u2838","double-struck-italic":"\u2838\u2828",fraktur:"\u2838",italic:"\u2828",monospace:"",normal:"",
+oldstyle:"","oldstyle-bold":"\u2838",script:"\u2808","sans-serif":"\u2820\u2828","sans-serif-italic":"\u2820\u2828\u2828","sans-serif-bold":"\u2820\u2828\u2838","sans-serif-bold-italic":"\u2820\u2828\u2838\u2828",unknown:""},EMBELLISH:{"super":"\u2818",sub:"\u2830",circled:["\u282b\u2809\u2838\u282b",embellishCombiner],parenthesized:["\u2837",parensCombiner],period:["\u2838\u2832",postfixCombiner],"negative-circled":["\u282b\u2838\u2809\u2838\u282b",embellishCombiner],"double-circled":["\u282b\u2809\u2838\u282b\u282b\u2809\u2838\u282b",
+doubleEmbellishCombiner],"circled-sans-serif":["\u282b\u2809\u2838\u282b\u2820\u2828",embellishCombiner],"negative-circled-sans-serif":["\u282b\u2838\u2809\u2838\u282b\u2820\u2828",embellishCombiner],comma:["\u2820",postfixCombiner],squared:["\u282b\u2832\u2838\u282b",embellishCombiner],"negative-squared":["\u282b\u2838\u2832\u2838\u282b",embellishCombiner]},ROLE:{addition:"addition",multiplication:"multiplication",subtraction:"subtraction",division:"division",equality:"equality",inequality:"inequality",
+element:"element",arrow:"arrow",determinant:"determinant",rowvector:"row vector",binomial:"binomial",squarematrix:"square matrix",multiline:"multiple lines",matrix:"matrix",vector:"vector",cases:"case statement",table:"table",unknown:"unknown"},ENCLOSE:{longdiv:"long division",actuarial:"actuarial symbol",radical:"square root",box:"box",roundedbox:"rounded box",circle:"circle",left:"left vertical-line",right:"right vertical-line",top:"overbar",bottom:"underbar",updiagonalstrike:"crossout",downdiagonalstrike:"crossout",
+verticalstrike:"vertical strikeout",horizontalstrike:"crossout",madruwb:"Arabic factorial symbol",updiagonalarrow:"diagonal arrow",phasorangle:"phasor angle",unknown:"long division"},REGEXP:{TEXT:"a-zA-Z",NUMBER:"((\\d{1,3})(?=(,| ))((,| )\\d{3})*(\\.\\d+)?)|^\\d*\\.\\d+|^\\d+",DECIMAL_MARK:".",DIGIT_GROUP:",",JOINER_SUBSUPER:"",JOINER_FRAC:""},NAVIGATE:{COLLAPSIBLE:"collapsible",EXPANDABLE:"expandable",LEVEL:"Level"},NUMBERS:sre.Numbers.nemeth.NUMBERS,ALPHABETS:{latinSmall:"\u2801\u2803\u2809\u2819\u2811\u280b\u281b\u2813\u280a\u281a\u2805\u2807\u280d\u281d\u2815\u280f\u281f\u2817\u280e\u281e\u2825\u2827\u283a\u282d\u283d\u2835".split(""),
+latinCap:"\u2820\u2801 \u2820\u2803 \u2820\u2809 \u2820\u2819 \u2820\u2811 \u2820\u280b \u2820\u281b \u2820\u2813 \u2820\u280a \u2820\u281a \u2820\u2805 \u2820\u2807 \u2820\u280d \u2820\u281d \u2820\u2815 \u2820\u280f \u2820\u281f \u2820\u2817 \u2820\u280e \u2820\u281e \u2820\u2825 \u2820\u2827 \u2820\u283a \u2820\u282d \u2820\u283d \u2820\u2835".split(" "),greekSmall:"\u2828\u282b \u2828\u2801 \u2828\u2803 \u2828\u281b \u2828\u2819 \u2828\u2811 \u2828\u2831 \u2828\u2826 \u2828\u2839 \u2828\u280a \u2828\u2805 \u2828\u2807 \u2828\u280d \u2828\u281d \u2828\u282d \u2828\u2815 \u2828\u280f \u2828\u2817 \u2828\u2812 \u2828\u280e \u2828\u281e \u2828\u2825 \u2828\u280b \u2828\u282f \u2828\u2813 \u2828\u2815 \u2808\u2819 \u2828\u2811 \u2828\u2839 \u2828\u2805 \u2828\u280b \u2828\u2817 \u2828\u280f".split(" "),
+greekCap:"\u2828\u2820\u2801 \u2828\u2820\u2803 \u2828\u2820\u281b \u2828\u2820\u2819 \u2828\u2820\u2811 \u2828\u2820\u2831 \u2828\u2820\u2823 \u2828\u2820\u2839 \u2828\u2820\u280a \u2828\u2820\u2805 \u2828\u2820\u2807 \u2828\u2820\u280d \u2828\u2820\u281d \u2828\u2820\u282d \u2828\u2820\u2815 \u2828\u2820\u280f \u2828\u2820\u2817 \u2828\u2820\u2839 \u2828\u2820\u280e \u2828\u2820\u2825 \u2828\u2820\u2825 \u2828\u2820\u280b \u2828\u2820\u282f \u2828\u2820\u282b \u2828\u2820\u283a".split(" ")},ALPHABET_TRANSFORMERS:{digit:{default:sre.Numbers.nemeth.numberToWords},
+letter:{default:function(a){return a}}},ALPHABET_PREFIXES:{capPrefix:{default:""},smallPrefix:{default:""},digitPrefix:{default:"\u283c"}},ALPHABET_COMBINER:function(a,b,c){return b?b+a:a}};sre.L10n={};sre.L10n.setLocale=function(){var a=sre.L10n.getLocale();if(a)for(var b in a)sre.Messages[b]=a[b]};sre.L10n.getLocale=function(){var a=sre.Engine.getInstance().locale;-1===sre.Variables.LOCALES.indexOf(a)&&(console.error("Locale "+a+" does not exist! Using en instead."),sre.Engine.getInstance().locale="en");return sre.Locale[sre.Engine.getInstance().locale]||sre.Locale.en};sre.EnrichCase=function(){};sre.EnrichCase.prototype.getMathml=function(){};sre.AbstractEnrichCase=function(a){this.semantic=a};sre.AbstractEnrichCase.prototype.getMathml=goog.abstractMethod;sre.EnrichCaseFactory=function(){};sre.EnrichCaseFactory.cases=[];sre.EnrichCaseFactory.getCase=function(a){for(var b=0,c;c=sre.EnrichCaseFactory.cases[b];b++)if(c.test(a))return new c.constr(a);return null};sre.SemanticSkeleton=function(a){this.array=a=0===a?a:a||[];this.levelsMap=this.parents=null};sre.SemanticSkeleton.prototype.populate=function(){this.parents&&this.levelsMap||(this.parents={},this.levelsMap={},this.populate_(this.array,this.array,[]))};
 sre.SemanticSkeleton.prototype.populate_=function(a,b,c){if(sre.SemanticSkeleton.simpleCollapseStructure(a))this.levelsMap[a]=b,this.parents[a]=a===c[0]?c.slice(1):c;else{b=sre.SemanticSkeleton.contentCollapseStructure(a)?a.slice(1):a;c=[b[0]].concat(c);for(var d=0,e=b.length;d<e;d++)this.populate_(b[d],a,c)}};sre.SemanticSkeleton.prototype.toString=function(){return sre.SemanticSkeleton.makeSexp_(this.array)};
 sre.SemanticSkeleton.makeSexp_=function(a){return sre.SemanticSkeleton.simpleCollapseStructure(a)?a.toString():sre.SemanticSkeleton.contentCollapseStructure(a)?"(c "+a.slice(1).map(sre.SemanticSkeleton.makeSexp_).join(" ")+")":"("+a.map(sre.SemanticSkeleton.makeSexp_).join(" ")+")"};sre.SemanticSkeleton.fromTree=function(a){return sre.SemanticSkeleton.fromNode(a.root)};sre.SemanticSkeleton.fromNode=function(a){return new sre.SemanticSkeleton(sre.SemanticSkeleton.fromNode_(a))};
 sre.SemanticSkeleton.fromString=function(a){return new sre.SemanticSkeleton(sre.SemanticSkeleton.fromString_(a))};sre.SemanticSkeleton.fromString_=function(a){a=a.replace(/\(/g,"[");a=a.replace(/\)/g,"]");a=a.replace(/ /g,",");a=a.replace(/c/g,'"c"');return JSON.parse(a)};
 sre.SemanticSkeleton.fromNode_=function(a){if(!a)return[];var b=a.contentNodes;if(b.length){var c=b.map(sre.SemanticSkeleton.fromNode_);c.unshift("c")}var d=a.childNodes;if(!d.length)return b.length?[a.id,c]:a.id;d=d.map(sre.SemanticSkeleton.fromNode_);b.length&&d.unshift(c);d.unshift(a.id);return d};sre.SemanticSkeleton.simpleCollapseStructure=function(a){return"number"===typeof a};
 sre.SemanticSkeleton.contentCollapseStructure=function(a){return!!a&&!sre.SemanticSkeleton.simpleCollapseStructure(a)&&"c"===a[0]};sre.SemanticSkeleton.interleaveIds=function(a,b){return sre.BaseUtil.interleaveLists(sre.SemanticSkeleton.collapsedLeafs(a),sre.SemanticSkeleton.collapsedLeafs(b))};
-sre.SemanticSkeleton.collapsedLeafs=function(a){var b=function(a){return sre.SemanticSkeleton.simpleCollapseStructure(a)?[a]:sre.SemanticSkeleton.contentCollapseStructure(a[1])?a.slice(2):a.slice(1)};return Array.prototype.slice.call(arguments,0).reduce(function(a,d){return a.concat(b(d))},[])};sre.SemanticSkeleton.fromStructure=function(a){return new sre.SemanticSkeleton(sre.SemanticSkeleton.tree_(a.root))};
-sre.SemanticSkeleton.tree_=function(a){if(!a)return[];if(!a.childNodes.length)return a.id;var b=[a.id];a=sre.SemanticSkeleton.combineContentChildren(a,a.contentNodes.map(function(a){return a}),a.childNodes.map(function(a){return a}));for(var c=0,d;d=a[c];c++)b.push(sre.SemanticSkeleton.tree_(d));return b};
+sre.SemanticSkeleton.collapsedLeafs=function(a){var b=function(c){return sre.SemanticSkeleton.simpleCollapseStructure(c)?[c]:sre.SemanticSkeleton.contentCollapseStructure(c[1])?c.slice(2):c.slice(1)};return Array.prototype.slice.call(arguments,0).reduce(function(c,d){return c.concat(b(d))},[])};sre.SemanticSkeleton.fromStructure=function(a,b){return new sre.SemanticSkeleton(sre.SemanticSkeleton.tree_(a,b.root))};
+sre.SemanticSkeleton.tree_=function(a,b){if(!b)return[];if(!b.childNodes.length)return b.id;var c=b.id,d=[c];c=sre.XpathUtil.evalXPath(".//self::*[@"+sre.EnrichMathml.Attribute.ID+"="+c+"]",a)[0];b=sre.SemanticSkeleton.combineContentChildren(b,b.contentNodes.map(function(f){return f}),b.childNodes.map(function(f){return f}));c&&c.setAttribute(sre.EnrichMathml.Attribute.OWNS,b.map(function(f){return f.id}).join(" "));c=0;for(var e;e=b[c];c++)d.push(sre.SemanticSkeleton.tree_(a,e));return d};
 sre.SemanticSkeleton.combineContentChildren=function(a,b,c){switch(a.type){case sre.Semantic.Type.RELSEQ:case sre.Semantic.Type.INFIXOP:case sre.Semantic.Type.MULTIREL:return sre.BaseUtil.interleaveLists(c,b);case sre.Semantic.Type.PREFIXOP:return b.concat(c);case sre.Semantic.Type.POSTFIXOP:return c.concat(b);case sre.Semantic.Type.FENCED:return c.unshift(b[0]),c.push(b[1]),c;case sre.Semantic.Type.APPL:return[c[0],b[0],c[1]];case sre.Semantic.Type.ROOT:return[c[1],c[0]];case sre.Semantic.Type.ROW:case sre.Semantic.Type.LINE:return b.length&&
 c.unshift(b[0]),c;default:return c}};sre.EnrichMathml={};sre.EnrichMathml.Error=function(a){Error.call(this);this.message=a||"";this.name="MathML Enrichment Error"};goog.inherits(sre.EnrichMathml.Error,Error);sre.EnrichMathml.SETTINGS={collapsed:!0,implicit:!0};sre.EnrichMathml.ATTRIBUTE_PREFIX_="data-semantic-";
 sre.EnrichMathml.Attribute={ADDED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"added",ALTERNATIVE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"alternative",CHILDREN:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"children",COLLAPSED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"collapsed",CONTENT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"content",EMBELLISHED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"embellished",FENCEPOINTER:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"fencepointer",FONT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"font",ID:sre.EnrichMathml.ATTRIBUTE_PREFIX_+
-"id",OPERATOR:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"operator",PARENT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"parent",PREFIX:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"prefix",ROLE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"role",SPEECH:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"speech",STRUCTURE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"structure",TYPE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"type"};
-sre.EnrichMathml.enrich=function(a,b){var c=a.cloneNode(!0);sre.EnrichMathml.walkTree(b.root);sre.Engine.getInstance().structure&&a.setAttribute(sre.EnrichMathml.Attribute.STRUCTURE,sre.SemanticSkeleton.fromStructure(b).toString());sre.Debugger.getInstance().generateOutput(function(){sre.EnrichMathml.formattedOutput(c,a,b,!0);return[]});return a};
+"id",ANNOTATION:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"annotation",OPERATOR:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"operator",OWNS:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"owns",PARENT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"parent",PREFIX:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"prefix",ROLE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"role",SPEECH:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"speech",STRUCTURE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"structure",TYPE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"type"};
+sre.EnrichMathml.enrich=function(a,b){var c=a.cloneNode(!0);sre.EnrichMathml.walkTree(b.root);sre.Engine.getInstance().structure&&a.setAttribute(sre.EnrichMathml.Attribute.STRUCTURE,sre.SemanticSkeleton.fromStructure(a,b).toString());sre.Debugger.getInstance().generateOutput(function(){sre.EnrichMathml.formattedOutput(c,a,b,!0);return[]});return a};
 sre.EnrichMathml.walkTree=function(a){var b=sre.EnrichCaseFactory.getCase(a);if(b)return b=b.getMathml(),sre.EnrichMathml.ascendNewNode(b);if(1===a.mathml.length)return sre.Debugger.getInstance().output("Walktree Case 0"),b=a.mathml[0],sre.EnrichMathml.setAttributes(b,a),sre.EnrichMathml.ascendNewNode(b);b=a.contentNodes.map(sre.EnrichMathml.cloneContentNode);sre.EnrichMathml.setOperatorAttribute_(a,b);var c=a.childNodes.map(sre.EnrichMathml.walkTree);c=sre.SemanticSkeleton.combineContentChildren(a,
 b,c);b=a.mathmlTree;if(null===b)sre.Debugger.getInstance().output("Walktree Case 1"),b=sre.EnrichMathml.introduceNewLayer(c);else{var d=sre.EnrichMathml.attachedElement_(c);sre.Debugger.getInstance().output("Walktree Case 2");d?(sre.Debugger.getInstance().output("Walktree Case 2.1"),b=d.parentNode):(sre.Debugger.getInstance().output("Walktree Case 2.2"),b=sre.EnrichMathml.getInnerNode(b))}b=sre.EnrichMathml.rewriteMfenced(b);sre.EnrichMathml.mergeChildren_(b,c);sre.EnrichMathml.setAttributes(b,a);
 return sre.EnrichMathml.ascendNewNode(b)};
 sre.EnrichMathml.introduceNewLayer=function(a){var b=sre.EnrichMathml.mathmlLca_(a),c=b.node,d=b.type;d===sre.EnrichMathml.lcaType.VALID&&sre.SemanticUtil.hasEmptyTag(c)||(sre.Debugger.getInstance().output("Walktree Case 1.1"),c=sre.DomUtil.createElement("mrow"),d===sre.EnrichMathml.lcaType.PRUNED?(sre.Debugger.getInstance().output("Walktree Case 1.1.0"),c=sre.EnrichMathml.introduceLayerAboveLca(c,b.node,a)):a[0]&&(sre.Debugger.getInstance().output("Walktree Case 1.1.1"),b=sre.EnrichMathml.attachedElement_(a),
-a=sre.EnrichMathml.childrenSubset_(b.parentNode,a),sre.DomUtil.replaceNode(b,c),a.forEach(function(a){c.appendChild(a)})));return c};
-sre.EnrichMathml.introduceLayerAboveLca=function(a,b,c){var d=sre.EnrichMathml.descendNode_(b);if(sre.SemanticUtil.hasMathTag(d)){sre.Debugger.getInstance().output("Walktree Case 1.1.0.0");sre.EnrichMathml.moveSemanticAttributes_(d,a);sre.DomUtil.toArray(d.childNodes).forEach(function(b){a.appendChild(b)});var e=a;a=d;d=e}b=c.indexOf(b);c[b]=d;sre.DomUtil.replaceNode(d,a);a.appendChild(d);c.forEach(function(b){a.appendChild(b)});return a};
-sre.EnrichMathml.moveSemanticAttributes_=function(a,b){for(var c in sre.EnrichMathml.Attribute){var d=sre.EnrichMathml.Attribute[c];a.hasAttribute(d)&&(b.setAttribute(d,a.getAttribute(d)),a.removeAttribute(d))}};sre.EnrichMathml.childrenSubset_=function(a,b){var c=sre.DomUtil.toArray(a.childNodes),d=Infinity,e=-Infinity;b.forEach(function(a){a=c.indexOf(a);-1!==a&&(d=Math.min(d,a),e=Math.max(e,a))});return c.slice(d,e+1)};
-sre.EnrichMathml.mergeChildren_=function(a,b){var c=a.childNodes;if(c.length)for(var d=0;b.length;)c[d]===b[0]||sre.EnrichMathml.functionApplication_(c[d],b[0])?(b.shift(),d++):c[d]&&-1===b.indexOf(c[d])?d++:(sre.EnrichMathml.isDescendant_(b[0],a)||a.insertBefore(b[0],c[d]||null),b.shift());else b.forEach(function(b){a.appendChild(b)})};sre.EnrichMathml.isDescendant_=function(a,b){if(!a)return!1;do if(a=a.parentNode,a===b)return!0;while(a);return!1};
-sre.EnrichMathml.functionApplication_=function(a,b){var c=sre.SemanticAttr.functionApplication();return a&&b&&a.textContent&&b.textContent&&a.textContent===c&&b.textContent===c&&"true"===b.getAttribute(sre.EnrichMathml.Attribute.ADDED)?(sre.DomUtil.replaceNode(a,b),!0):!1};sre.EnrichMathml.lcaType={VALID:"valid",INVALID:"invalid",PRUNED:"pruned"};
-sre.EnrichMathml.mathmlLca_=function(a){var b=sre.EnrichMathml.attachedElement_(a);if(!b)return{type:sre.EnrichMathml.lcaType.INVALID,node:null};var c=sre.EnrichMathml.attachedElement_(a.slice().reverse());if(b===c)return{type:sre.EnrichMathml.lcaType.VALID,node:b};b=sre.EnrichMathml.pathToRoot_(b);var d=sre.EnrichMathml.prunePath_(b,a);a=sre.EnrichMathml.pathToRoot_(c,function(a){return-1!==d.indexOf(a)});c=a[0];var e=d.indexOf(c);return-1===e?{type:sre.EnrichMathml.lcaType.INVALID,node:null}:{type:d.length!==
+a=sre.EnrichMathml.childrenSubset_(b.parentNode,a),sre.DomUtil.replaceNode(b,c),a.forEach(function(e){c.appendChild(e)})));return c};
+sre.EnrichMathml.introduceLayerAboveLca=function(a,b,c){var d=sre.EnrichMathml.descendNode_(b);if(sre.SemanticUtil.hasMathTag(d)){sre.Debugger.getInstance().output("Walktree Case 1.1.0.0");sre.EnrichMathml.moveSemanticAttributes_(d,a);sre.DomUtil.toArray(d.childNodes).forEach(function(f){a.appendChild(f)});var e=a;a=d;d=e}b=c.indexOf(b);c[b]=d;sre.DomUtil.replaceNode(d,a);a.appendChild(d);c.forEach(function(f){a.appendChild(f)});return a};
+sre.EnrichMathml.moveSemanticAttributes_=function(a,b){for(var c in sre.EnrichMathml.Attribute){var d=sre.EnrichMathml.Attribute[c];a.hasAttribute(d)&&(b.setAttribute(d,a.getAttribute(d)),a.removeAttribute(d))}};sre.EnrichMathml.childrenSubset_=function(a,b){var c=sre.DomUtil.toArray(a.childNodes),d=Infinity,e=-Infinity;b.forEach(function(f){f=c.indexOf(f);-1!==f&&(d=Math.min(d,f),e=Math.max(e,f))});return c.slice(d,e+1)};
+sre.EnrichMathml.mergeChildren_=function(a,b){var c=a.childNodes;if(c.length)for(var d=0;b.length;)c[d]===b[0]||sre.EnrichMathml.functionApplication_(c[d],b[0])?(b.shift(),d++):c[d]&&-1===b.indexOf(c[d])?d++:(sre.EnrichMathml.isDescendant_(b[0],a)||a.insertBefore(b[0],c[d]||null),b.shift());else b.forEach(function(e){a.appendChild(e)})};sre.EnrichMathml.isDescendant_=function(a,b){if(!a)return!1;do if(a=a.parentNode,a===b)return!0;while(a);return!1};
+sre.EnrichMathml.functionApplication_=function(a,b){var c=sre.SemanticAttr.functionApplication();if(a&&b&&a.textContent&&b.textContent&&a.textContent===c&&b.textContent===c&&"true"===b.getAttribute(sre.EnrichMathml.Attribute.ADDED)){c=0;for(var d;d=a.attributes[c];c++)b.hasAttribute(d.nodeName)||b.setAttribute(d.nodeName,d.nodeValue);sre.DomUtil.replaceNode(a,b);return!0}return!1};sre.EnrichMathml.lcaType={VALID:"valid",INVALID:"invalid",PRUNED:"pruned"};
+sre.EnrichMathml.mathmlLca_=function(a){var b=sre.EnrichMathml.attachedElement_(a);if(!b)return{type:sre.EnrichMathml.lcaType.INVALID,node:null};var c=sre.EnrichMathml.attachedElement_(a.slice().reverse());if(b===c)return{type:sre.EnrichMathml.lcaType.VALID,node:b};b=sre.EnrichMathml.pathToRoot_(b);var d=sre.EnrichMathml.prunePath_(b,a);a=sre.EnrichMathml.pathToRoot_(c,function(f){return-1!==d.indexOf(f)});c=a[0];var e=d.indexOf(c);return-1===e?{type:sre.EnrichMathml.lcaType.INVALID,node:null}:{type:d.length!==
 b.length?sre.EnrichMathml.lcaType.PRUNED:sre.EnrichMathml.validLca_(d[e+1],a[1])?sre.EnrichMathml.lcaType.VALID:sre.EnrichMathml.lcaType.INVALID,node:c}};sre.EnrichMathml.prunePath_=function(a,b){for(var c=0;a[c]&&-1===b.indexOf(a[c]);)c++;return a.slice(0,c+1)};sre.EnrichMathml.attachedElement_=function(a){for(var b=0,c=null;!c&&b<a.length;)a[b].parentNode&&(c=a[b]),b++;return c};
-sre.EnrichMathml.pathToRoot_=function(a,b){b=b||function(a){return!1};for(var c=[a];!b(a)&&!sre.SemanticUtil.hasMathTag(a)&&a.parentNode;)a=sre.EnrichMathml.parentNode_(a),c.unshift(a);return c};sre.EnrichMathml.validLca_=function(a,b){return!(!a||!b||a.previousSibling||b.nextSibling)};sre.EnrichMathml.ascendNewNode=function(a){for(;!sre.SemanticUtil.hasMathTag(a)&&sre.EnrichMathml.unitChild_(a);)a=sre.EnrichMathml.parentNode_(a);return a};
-sre.EnrichMathml.descendNode_=function(a){var b=sre.DomUtil.toArray(a.childNodes);if(!b)return a;b=b.filter(function(a){return a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE&&!sre.SemanticUtil.hasIgnoreTag(a)});return 1===b.length&&sre.SemanticUtil.hasEmptyTag(b[0])&&!b[0].hasAttribute(sre.EnrichMathml.Attribute.TYPE)?sre.EnrichMathml.descendNode_(b[0]):a};
-sre.EnrichMathml.unitChild_=function(a){var b=sre.EnrichMathml.parentNode_(a);return b&&sre.SemanticUtil.hasEmptyTag(b)?sre.DomUtil.toArray(b.childNodes).every(function(b){return b===a||sre.EnrichMathml.isIgnorable_(b)}):!1};sre.EnrichMathml.isIgnorable_=function(a){if(!a||sre.SemanticUtil.hasIgnoreTag(a))return!0;var b=sre.DomUtil.toArray(a.childNodes);return!sre.SemanticUtil.hasEmptyTag(a)&&b.length?!1:sre.DomUtil.toArray(a.childNodes).every(sre.EnrichMathml.isIgnorable_)};
-sre.EnrichMathml.parentNode_=function(a){return a.parentNode};sre.EnrichMathml.addCollapsedAttribute=function(a,b){b=new sre.SemanticSkeleton(b);a.setAttribute(sre.EnrichMathml.Attribute.COLLAPSED,b.toString())};sre.EnrichMathml.cloneContentNode=function(a){if(a.mathml.length)return sre.EnrichMathml.walkTree(a);var b=sre.EnrichMathml.SETTINGS.implicit?sre.EnrichMathml.createInvisibleOperator_(a):sre.DomUtil.createElement("mrow");a.mathml=[b];return b};sre.EnrichMathml.makeIdList=function(a){return a.map(function(a){return a.id}).join(",")};
-sre.EnrichMathml.setAttributes=function(a,b){a.setAttribute(sre.EnrichMathml.Attribute.TYPE,b.type);a.setAttribute(sre.EnrichMathml.Attribute.ROLE,b.role);b.font!=sre.Semantic.Font.UNKNOWN&&a.setAttribute(sre.EnrichMathml.Attribute.FONT,b.font);a.setAttribute(sre.EnrichMathml.Attribute.ID,b.id);b.childNodes.length&&a.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList(b.childNodes));b.contentNodes.length&&a.setAttribute(sre.EnrichMathml.Attribute.CONTENT,sre.EnrichMathml.makeIdList(b.contentNodes));
-b.parent&&a.setAttribute(sre.EnrichMathml.Attribute.PARENT,b.parent.id);b.embellished&&a.setAttribute(sre.EnrichMathml.Attribute.EMBELLISHED,b.embellished);b.fencePointer&&a.setAttribute(sre.EnrichMathml.Attribute.FENCEPOINTER,b.fencePointer)};
-sre.EnrichMathml.combineContentChildren_=function(a,b,c){switch(a.type){case sre.Semantic.Type.RELSEQ:case sre.Semantic.Type.INFIXOP:case sre.Semantic.Type.MULTIREL:return sre.BaseUtil.interleaveLists(c,b);case sre.Semantic.Type.PREFIXOP:return b.concat(c);case sre.Semantic.Type.POSTFIXOP:return c.concat(b);case sre.Semantic.Type.FENCED:return c.unshift(b[0]),c.push(b[1]),c;case sre.Semantic.Type.APPL:return[c[0],b[0],c[1]];case sre.Semantic.Type.ROOT:return[c[1],c[0]];case sre.Semantic.Type.ROW:case sre.Semantic.Type.LINE:return b.length&&
-c.unshift(b[0]),c;default:return c}};sre.EnrichMathml.rewriteMfenced=function(a){if("MFENCED"!==sre.DomUtil.tagName(a))return a;for(var b=sre.DomUtil.createElement("mrow"),c=0,d;d=a.attributes[c];c++)-1===["open","close","separators"].indexOf(d.name)&&b.setAttribute(d.name,d.value);sre.DomUtil.toArray(a.childNodes).forEach(function(a){b.appendChild(a)});sre.DomUtil.replaceNode(a,b);return b};
-sre.EnrichMathml.createInvisibleOperator_=function(a){var b=sre.DomUtil.createElement("mo"),c=sre.DomUtil.createTextNode(a.textContent);b.appendChild(c);sre.EnrichMathml.setAttributes(b,a);b.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");return b};sre.EnrichMathml.setOperatorAttribute_=function(a,b){var c=a.type+(a.textContent?","+a.textContent:"");b.forEach(function(a){sre.EnrichMathml.getInnerNode(a).setAttribute(sre.EnrichMathml.Attribute.OPERATOR,c)})};
-sre.EnrichMathml.getInnerNode=function(a){var b=sre.DomUtil.toArray(a.childNodes);if(!b)return a;b=b.filter(function(a){return a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE&&!sre.EnrichMathml.isIgnorable_(a)});for(var c=[],d=0,e;e=b[d];d++)if(sre.SemanticUtil.hasEmptyTag(e)){var f=sre.EnrichMathml.getInnerNode(e);f&&f!==e&&c.push(f)}else c.push(e);return 1===c.length?c[0]:a};
-sre.EnrichMathml.formattedOutput=function(a,b,c,d){d=d||!1;sre.EnrichMathml.formattedOutput_(a,"Original MathML",d);sre.EnrichMathml.formattedOutput_(c,"Semantic Tree",d);sre.EnrichMathml.formattedOutput_(b,"Semantically enriched MathML",d)};sre.EnrichMathml.formattedOutput_=function(a,b,c){a=sre.DomUtil.formatXml(a.toString());c?console.log(b+":\n```html\n"+sre.EnrichMathml.removeAttributePrefix(a)+"\n```\n"):console.log(a)};
-sre.EnrichMathml.removeAttributePrefix=function(a){return a.toString().replace(new RegExp(sre.EnrichMathml.ATTRIBUTE_PREFIX_,"g"),"")};sre.EnrichMathml.collapsePunctuated=function(a,b){var c=!!b;b=b||[];var d=a.parent,e=a.contentNodes.map(function(a){return a.id});e.unshift("c");e=[a.id,e];for(var f=0,g;g=a.childNodes[f];f++){var h=sre.EnrichMathml.walkTree(g);b.push(h);h=sre.EnrichMathml.getInnerNode(h);d&&!c&&h.setAttribute(sre.EnrichMathml.Attribute.PARENT,d.id);e.push(g.id)}return e};
-sre.EnrichMathml.printNodeList__=function(a,b){console.log(a);sre.DomUtil.toArray(b).forEach(function(a){console.log(a.toString())});console.log("<<<<<<<<<<<<<<<<<")};sre.CaseBinomial=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseBinomial,sre.AbstractEnrichCase);sre.CaseBinomial.test=function(a){return!a.mathmlTree&&a.type===sre.SemanticAttr.Type.LINE&&a.role===sre.SemanticAttr.Role.BINOMIAL};
+sre.EnrichMathml.pathToRoot_=function(a,b){b=b||function(d){return!1};for(var c=[a];!b(a)&&!sre.SemanticUtil.hasMathTag(a)&&a.parentNode;)a=sre.EnrichMathml.parentNode_(a),c.unshift(a);return c};sre.EnrichMathml.validLca_=function(a,b){return!(!a||!b||a.previousSibling||b.nextSibling)};sre.EnrichMathml.ascendNewNode=function(a){for(;!sre.SemanticUtil.hasMathTag(a)&&sre.EnrichMathml.unitChild_(a);)a=sre.EnrichMathml.parentNode_(a);return a};
+sre.EnrichMathml.descendNode_=function(a){var b=sre.DomUtil.toArray(a.childNodes);if(!b)return a;b=b.filter(function(c){return c.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE&&!sre.SemanticUtil.hasIgnoreTag(c)});return 1===b.length&&sre.SemanticUtil.hasEmptyTag(b[0])&&!b[0].hasAttribute(sre.EnrichMathml.Attribute.TYPE)?sre.EnrichMathml.descendNode_(b[0]):a};
+sre.EnrichMathml.unitChild_=function(a){var b=sre.EnrichMathml.parentNode_(a);return b&&sre.SemanticUtil.hasEmptyTag(b)?sre.DomUtil.toArray(b.childNodes).every(function(c){return c===a||sre.EnrichMathml.isIgnorable_(c)}):!1};sre.EnrichMathml.isIgnorable_=function(a){if(!a||sre.SemanticUtil.hasIgnoreTag(a))return!0;var b=sre.DomUtil.toArray(a.childNodes);return!sre.SemanticUtil.hasEmptyTag(a)&&b.length?!1:sre.DomUtil.toArray(a.childNodes).every(sre.EnrichMathml.isIgnorable_)};
+sre.EnrichMathml.parentNode_=function(a){return a.parentNode};sre.EnrichMathml.addCollapsedAttribute=function(a,b){b=new sre.SemanticSkeleton(b);a.setAttribute(sre.EnrichMathml.Attribute.COLLAPSED,b.toString())};sre.EnrichMathml.cloneContentNode=function(a){if(a.mathml.length)return sre.EnrichMathml.walkTree(a);var b=sre.EnrichMathml.SETTINGS.implicit?sre.EnrichMathml.createInvisibleOperator_(a):sre.DomUtil.createElement("mrow");a.mathml=[b];return b};sre.EnrichMathml.makeIdList=function(a){return a.map(function(b){return b.id}).join(",")};
+sre.EnrichMathml.setAttributes=function(a,b){a.setAttribute(sre.EnrichMathml.Attribute.TYPE,b.type);for(var c=b.allAttributes(),d=0,e;e=c[d];d++)a.setAttribute(sre.EnrichMathml.Attribute[e[0].toUpperCase()],e[1]);b.childNodes.length&&a.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList(b.childNodes));b.contentNodes.length&&a.setAttribute(sre.EnrichMathml.Attribute.CONTENT,sre.EnrichMathml.makeIdList(b.contentNodes));b.parent&&a.setAttribute(sre.EnrichMathml.Attribute.PARENT,
+b.parent.id)};sre.EnrichMathml.rewriteMfenced=function(a){if("MFENCED"!==sre.DomUtil.tagName(a))return a;for(var b=sre.DomUtil.createElement("mrow"),c=0,d;d=a.attributes[c];c++)-1===["open","close","separators"].indexOf(d.name)&&b.setAttribute(d.name,d.value);sre.DomUtil.toArray(a.childNodes).forEach(function(e){b.appendChild(e)});sre.DomUtil.replaceNode(a,b);return b};
+sre.EnrichMathml.createInvisibleOperator_=function(a){var b=sre.DomUtil.createElement("mo"),c=sre.DomUtil.createTextNode(a.textContent);b.appendChild(c);sre.EnrichMathml.setAttributes(b,a);b.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");return b};sre.EnrichMathml.setOperatorAttribute_=function(a,b){var c=a.type+(a.textContent?","+a.textContent:"");b.forEach(function(d){sre.EnrichMathml.getInnerNode(d).setAttribute(sre.EnrichMathml.Attribute.OPERATOR,c)})};
+sre.EnrichMathml.getInnerNode=function(a){var b=sre.DomUtil.toArray(a.childNodes);if(!b)return a;b=b.filter(function(g){return g.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE&&!sre.EnrichMathml.isIgnorable_(g)});for(var c=[],d=0,e;e=b[d];d++)if(sre.SemanticUtil.hasEmptyTag(e)){var f=sre.EnrichMathml.getInnerNode(e);f&&f!==e&&c.push(f)}else c.push(e);return 1===c.length?c[0]:a};
+sre.EnrichMathml.formattedOutput=function(a,b,c,d){d=d||!1;sre.EnrichMathml.formattedOutput_(a,"Original MathML",d);sre.EnrichMathml.formattedOutput_(c,"Semantic Tree",d);sre.EnrichMathml.formattedOutput_(b,"Semantically enriched MathML",d)};sre.EnrichMathml.formattedOutput_=function(a,b,c){a=sre.DomUtil.formatXml(a.toString());c?console.info(b+":\n```html\n"+sre.EnrichMathml.removeAttributePrefix(a)+"\n```\n"):console.info(a)};
+sre.EnrichMathml.removeAttributePrefix=function(a){return a.toString().replace(new RegExp(sre.EnrichMathml.ATTRIBUTE_PREFIX_,"g"),"")};sre.EnrichMathml.addPrefix=function(a){var b=a.toUpperCase();return sre.EnrichMathml.Attribute[b]||sre.EnrichMathml.ATTRIBUTE_PREFIX_+a};
+sre.EnrichMathml.collapsePunctuated=function(a,b){var c=!!b;b=b||[];var d=a.parent,e=a.contentNodes.map(function(k){return k.id});e.unshift("c");e=[a.id,e];for(var f=0,g;g=a.childNodes[f];f++){var h=sre.EnrichMathml.walkTree(g);b.push(h);h=sre.EnrichMathml.getInnerNode(h);d&&!c&&h.setAttribute(sre.EnrichMathml.Attribute.PARENT,d.id);e.push(g.id)}return e};sre.EnrichMathml.printNodeList__=function(a,b){console.info(a);sre.DomUtil.toArray(b).forEach(function(c){console.info(c.toString())});console.info("<<<<<<<<<<<<<<<<<")};sre.CaseBinomial=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseBinomial,sre.AbstractEnrichCase);sre.CaseBinomial.test=function(a){return!a.mathmlTree&&a.type===sre.SemanticAttr.Type.LINE&&a.role===sre.SemanticAttr.Role.BINOMIAL};
 sre.CaseBinomial.prototype.getMathml=function(){if(!this.semantic.childNodes.length)return this.mml;this.mml=sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);if(this.mml.hasAttribute(sre.EnrichMathml.Attribute.TYPE)){var a=sre.DomUtil.createElement("mrow");a.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");sre.DomUtil.replaceNode(this.mml,a);a.appendChild(this.mml);this.mml=a}sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseDoubleScript=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseDoubleScript,sre.AbstractEnrichCase);sre.CaseDoubleScript.test=function(a){if(!a.mathmlTree||!a.childNodes.length)return!1;var b=sre.DomUtil.tagName(a.mathmlTree);a=a.childNodes[0].role;return"MSUBSUP"===b&&a===sre.SemanticAttr.Role.SUBSUP||"MUNDEROVER"===b&&a===sre.SemanticAttr.Role.UNDEROVER};
-sre.CaseDoubleScript.prototype.getMathml=function(){var a=this.semantic.childNodes[0],b=a.childNodes[0],c=this.semantic.childNodes[1],d=a.childNodes[1],e=sre.EnrichMathml.walkTree(c),f=sre.EnrichMathml.walkTree(b),g=sre.EnrichMathml.walkTree(d);sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList([b,d,c]));[f,g,e].forEach(goog.bind(function(a){sre.EnrichMathml.getInnerNode(a).setAttribute(sre.EnrichMathml.Attribute.PARENT,
+sre.CaseDoubleScript.prototype.getMathml=function(){var a=this.semantic.childNodes[0],b=a.childNodes[0],c=this.semantic.childNodes[1],d=a.childNodes[1],e=sre.EnrichMathml.walkTree(c),f=sre.EnrichMathml.walkTree(b),g=sre.EnrichMathml.walkTree(d);sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList([b,d,c]));[f,g,e].forEach(goog.bind(function(h){sre.EnrichMathml.getInnerNode(h).setAttribute(sre.EnrichMathml.Attribute.PARENT,
 this.mml.getAttribute(sre.EnrichMathml.Attribute.ID))},this));this.mml.setAttribute(sre.EnrichMathml.Attribute.TYPE,a.role);sre.EnrichMathml.addCollapsedAttribute(this.mml,[this.semantic.id,[a.id,b.id,d.id],c.id]);return this.mml};sre.CaseMultiindex=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseMultiindex,sre.AbstractEnrichCase);
-sre.CaseMultiindex.prototype.completeMultiscript=function(a,b){var c=sre.DomUtil.toArray(this.mml.childNodes).slice(1),d=0,e=goog.bind(function(a){for(var b=0,e;e=a[b];b++){var f=c[d];if(f&&e==sre.EnrichMathml.getInnerNode(f).getAttribute(sre.EnrichMathml.Attribute.ID))sre.EnrichMathml.getInnerNode(f).setAttribute(sre.EnrichMathml.Attribute.PARENT,this.semantic.id),d++;else{var l=this.semantic.querySelectorAll(function(a){return a.id===e});this.mml.insertBefore(sre.CaseMultiindex.createNone_(l[0]),
-f||null)}}},this);e(a);c[d]&&"MPRESCRIPTS"!==sre.DomUtil.tagName(c[d])?this.mml.insertBefore(c[d],sre.DomUtil.createElement("mprescripts")):d++;e(b)};sre.CaseMultiindex.createNone_=function(a){var b=sre.DomUtil.createElement("none");a&&sre.EnrichMathml.setAttributes(b,a);b.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");return b};
+sre.CaseMultiindex.prototype.completeMultiscript=function(a,b){var c=sre.DomUtil.toArray(this.mml.childNodes).slice(1),d=0,e=goog.bind(function(f){for(var g=0,h;h=f[g];g++){var k=c[d];if(k&&h==sre.EnrichMathml.getInnerNode(k).getAttribute(sre.EnrichMathml.Attribute.ID))sre.EnrichMathml.getInnerNode(k).setAttribute(sre.EnrichMathml.Attribute.PARENT,this.semantic.id),d++;else{var l=this.semantic.querySelectorAll(function(m){return m.id===h});this.mml.insertBefore(sre.CaseMultiindex.createNone_(l[0]),
+k||null)}}},this);e(a);c[d]&&"MPRESCRIPTS"!==sre.DomUtil.tagName(c[d])?this.mml.insertBefore(c[d],sre.DomUtil.createElement("mprescripts")):d++;e(b)};sre.CaseMultiindex.createNone_=function(a){var b=sre.DomUtil.createElement("none");a&&sre.EnrichMathml.setAttributes(b,a);b.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");return b};
 sre.CaseMultiindex.multiscriptIndex=function(a){if(a.type===sre.SemanticAttr.Type.PUNCTUATED&&a.contentNodes[0].role===sre.SemanticAttr.Role.DUMMY)return sre.EnrichMathml.collapsePunctuated(a);sre.EnrichMathml.walkTree(a);return a.id};sre.CaseMultiscripts=function(a){sre.CaseMultiindex.call(this,a)};goog.inherits(sre.CaseMultiscripts,sre.CaseMultiindex);sre.CaseMultiscripts.test=function(a){return a.mathmlTree?"MMULTISCRIPTS"===sre.DomUtil.tagName(a.mathmlTree)&&(a.type===sre.SemanticAttr.Type.SUPERSCRIPT||a.type===sre.SemanticAttr.Type.SUBSCRIPT):!1};
 sre.CaseMultiscripts.prototype.getMathml=function(){sre.EnrichMathml.setAttributes(this.mml,this.semantic);if(this.semantic.childNodes[0]&&this.semantic.childNodes[0].role===sre.SemanticAttr.Role.SUBSUP){var a=this.semantic.childNodes[0],b=a.childNodes[0],c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),d=sre.CaseMultiindex.multiscriptIndex(a.childNodes[1]),e=[this.semantic.id,[a.id,b.id,d],c];sre.EnrichMathml.addCollapsedAttribute(this.mml,e);this.mml.setAttribute(sre.EnrichMathml.Attribute.TYPE,
 a.role);this.completeMultiscript(sre.SemanticSkeleton.interleaveIds(d,c),[])}else b=this.semantic.childNodes[0],c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),e=[this.semantic.id,b.id,c],sre.EnrichMathml.addCollapsedAttribute(this.mml,e);a=sre.SemanticSkeleton.collapsedLeafs(d||[],c);c=sre.EnrichMathml.walkTree(b);sre.EnrichMathml.getInnerNode(c).setAttribute(sre.EnrichMathml.Attribute.PARENT,this.semantic.id);a.unshift(b.id);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,
-a.join(","));return this.mml};sre.CaseEmbellished=function(a){sre.AbstractEnrichCase.call(this,a);this.ofenceMml=this.ofence=this.fencedMml=this.fenced=null;this.ofenceMap={};this.cfenceMml=this.cfence=null;this.cfenceMap={};this.parentCleanup=[]};goog.inherits(sre.CaseEmbellished,sre.AbstractEnrichCase);sre.CaseEmbellished.test=function(a){return a.mathmlTree&&a.fencePointer};sre.CaseEmbellished.prototype.getMathml=function(){this.getFenced_();this.fencedMml=sre.EnrichMathml.walkTree(this.fenced);this.getFencesMml_();return this.rewrite_()};
+a.join(","));return this.mml};sre.CaseEmbellished=function(a){sre.AbstractEnrichCase.call(this,a);this.ofenceMml=this.ofence=this.fencedMml=this.fenced=null;this.ofenceMap={};this.cfenceMml=this.cfence=null;this.cfenceMap={};this.parentCleanup=[]};goog.inherits(sre.CaseEmbellished,sre.AbstractEnrichCase);sre.CaseEmbellished.test=function(a){return!(!a.mathmlTree||!a.fencePointer)};sre.CaseEmbellished.prototype.getMathml=function(){this.getFenced_();this.fencedMml=sre.EnrichMathml.walkTree(this.fenced);this.getFencesMml_();return this.rewrite_()};
 sre.CaseEmbellished.prototype.getFenced_=function(){for(var a=this.semantic;a.type!==sre.SemanticAttr.Type.FENCED;)a=a.childNodes[0];this.fenced=a.childNodes[0];this.ofence=a.contentNodes[0];this.cfence=a.contentNodes[1];sre.CaseEmbellished.fencedMap_(this.ofence,this.ofenceMap);sre.CaseEmbellished.fencedMap_(this.cfence,this.cfenceMap)};sre.CaseEmbellished.fencedMap_=function(a,b){b[a.id]=a.mathmlTree;a.embellished&&sre.CaseEmbellished.fencedMap_(a.childNodes[0],b)};
 sre.CaseEmbellished.prototype.getFencesMml_=function(){for(var a=this.semantic,b=Object.keys(this.ofenceMap),c=Object.keys(this.cfenceMap);!(this.ofenceMml&&this.cfenceMml||a===this.fenced);)-1===b.indexOf(a.fencePointer)||this.ofenceMml||(this.ofenceMml=a.mathmlTree),-1===c.indexOf(a.fencePointer)||this.cfenceMml||(this.cfenceMml=a.mathmlTree),a=a.childNodes[0];this.ofenceMml||(this.ofenceMml=this.ofence.mathmlTree);this.cfenceMml||(this.cfenceMml=this.cfence.mathmlTree);this.ofenceMml&&(this.ofenceMml=
 sre.EnrichMathml.ascendNewNode(this.ofenceMml));this.cfenceMml&&(this.cfenceMml=sre.EnrichMathml.ascendNewNode(this.cfenceMml))};
@@ -380,80 +540,83 @@ d);sre.DomUtil.replaceNode(d.childNodes[0],c);sre.DomUtil.replaceNode(e,g);d.par
 sre.CaseEmbellished.prototype.specialCase_=function(a,b){var c=sre.DomUtil.tagName(b),d=null;if("MSUBSUP"===c){d=a.childNodes[0];var e=sre.CaseDoubleScript}else"MMULTISCRIPTS"===c&&(a.type===sre.SemanticAttr.Type.SUPERSCRIPT||a.type===sre.SemanticAttr.Type.SUBSCRIPT?e=sre.CaseMultiscripts:a.type===sre.SemanticAttr.Type.TENSOR&&(e=sre.CaseTensor),d=e&&a.childNodes[0]&&a.childNodes[0].role===sre.SemanticAttr.Role.SUBSUP?a.childNodes[0]:a);if(!d)return null;c=d.childNodes[0];b=sre.CaseEmbellished.makeEmptyNode_(c.id);
 d.childNodes[0]=b;b=(new e(a)).getMathml();d.childNodes[0]=c;this.parentCleanup.push(b);return d.childNodes[0]};sre.CaseEmbellished.makeEmptyNode_=function(a){var b=sre.DomUtil.createElement("mrow");a=new sre.SemanticNode(a);a.type=sre.SemanticAttr.Type.EMPTY;a.mathmlTree=b;return a};
 sre.CaseEmbellished.prototype.introduceNewLayer_=function(){var a=this.fullFence(this.ofenceMml),b=this.fullFence(this.cfenceMml),c=sre.DomUtil.createElement("mrow");sre.DomUtil.replaceNode(this.fencedMml,c);c.appendChild(this.fencedMml);c.insertBefore(a,this.fencedMml);c.appendChild(b);if(!c.parentNode){for(a=sre.DomUtil.createElement("mrow");0<c.childNodes.length;)a.appendChild(c.childNodes[0]);c.appendChild(a);c=a}return c};
-sre.CaseEmbellished.prototype.fullFence=function(a){for(var b=this.fencedMml.parentNode;a.parentNode&&a.parentNode!==b;)a=a.parentNode;return a};sre.CaseEmbellished.prototype.cleanupParents_=function(){this.parentCleanup.forEach(function(a){var b=a.childNodes[1].getAttribute(sre.EnrichMathml.Attribute.PARENT);a.childNodes[0].setAttribute(sre.EnrichMathml.Attribute.PARENT,b)})};sre.CaseLine=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseLine,sre.AbstractEnrichCase);sre.CaseLine.test=function(a){return a.mathmlTree&&a.type===sre.SemanticAttr.Type.LINE};
-sre.CaseLine.prototype.getMathml=function(){this.semantic.contentNodes.length&&sre.EnrichMathml.walkTree(this.semantic.contentNodes[0]);this.semantic.childNodes.length&&sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseTable=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree;this.inner=[]};goog.inherits(sre.CaseTable,sre.AbstractEnrichCase);sre.CaseTable.test=function(a){return a.mathmlTree&&(a.type===sre.SemanticAttr.Type.MATRIX||a.type===sre.SemanticAttr.Type.VECTOR||a.type===sre.SemanticAttr.Type.CASES)};
+sre.CaseEmbellished.prototype.fullFence=function(a){for(var b=this.fencedMml.parentNode;a.parentNode&&a.parentNode!==b;)a=a.parentNode;return a};sre.CaseEmbellished.prototype.cleanupParents_=function(){this.parentCleanup.forEach(function(a){var b=a.childNodes[1].getAttribute(sre.EnrichMathml.Attribute.PARENT);a.childNodes[0].setAttribute(sre.EnrichMathml.Attribute.PARENT,b)})};sre.CaseLine=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseLine,sre.AbstractEnrichCase);sre.CaseLine.test=function(a){return!!a.mathmlTree&&a.type===sre.SemanticAttr.Type.LINE};
+sre.CaseLine.prototype.getMathml=function(){this.semantic.contentNodes.length&&sre.EnrichMathml.walkTree(this.semantic.contentNodes[0]);this.semantic.childNodes.length&&sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseProof=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseProof,sre.AbstractEnrichCase);sre.CaseProof.test=function(a){return!!a.mathmlTree&&(a.type===sre.SemanticAttr.Type.INFERENCE||a.type===sre.SemanticAttr.Type.PREMISES)};
+sre.CaseProof.prototype.getMathml=function(){if(!this.semantic.childNodes.length)return this.mml;this.semantic.contentNodes.forEach(function(a){sre.EnrichMathml.walkTree(a);sre.EnrichMathml.setAttributes(a.mathmlTree,a)});this.semantic.childNodes.forEach(function(a){sre.EnrichMathml.walkTree(a)});sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.getAttribute("data-semantic-id")===this.mml.getAttribute("data-semantic-parent")&&this.mml.removeAttribute("data-semantic-parent");return this.mml};sre.CaseTable=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree;this.inner=[]};goog.inherits(sre.CaseTable,sre.AbstractEnrichCase);sre.CaseTable.test=function(a){return!!a.mathmlTree&&(a.type===sre.SemanticAttr.Type.MATRIX||a.type===sre.SemanticAttr.Type.VECTOR||a.type===sre.SemanticAttr.Type.CASES)};
 sre.CaseTable.prototype.getMathml=function(){var a=sre.EnrichMathml.cloneContentNode(this.semantic.contentNodes[0]),b=this.semantic.contentNodes[1]?sre.EnrichMathml.cloneContentNode(this.semantic.contentNodes[1]):null;this.inner=this.semantic.childNodes.map(sre.EnrichMathml.walkTree);"MFENCED"===sre.DomUtil.tagName(this.mml)?(this.mml.insertBefore(a,this.mml.childNodes[0]||null),b&&this.mml.appendChild(b),this.mml=sre.EnrichMathml.rewriteMfenced(this.mml)):(a=[a,this.mml],b&&a.push(b),this.mml=sre.EnrichMathml.introduceNewLayer(a));
-sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseTensor=function(a){sre.CaseMultiindex.call(this,a)};goog.inherits(sre.CaseTensor,sre.CaseMultiindex);sre.CaseTensor.test=function(a){return a.mathmlTree&&a.type===sre.SemanticAttr.Type.TENSOR};
+sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseTensor=function(a){sre.CaseMultiindex.call(this,a)};goog.inherits(sre.CaseTensor,sre.CaseMultiindex);sre.CaseTensor.test=function(a){return!!a.mathmlTree&&a.type===sre.SemanticAttr.Type.TENSOR};
 sre.CaseTensor.prototype.getMathml=function(){sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);var a=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),b=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[2]),c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[3]),d=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[4]);sre.EnrichMathml.setAttributes(this.mml,this.semantic);sre.EnrichMathml.addCollapsedAttribute(this.mml,[this.semantic.id,this.semantic.childNodes[0].id,
-a,b,c,d]);var e=sre.SemanticSkeleton.collapsedLeafs(a,b,c,d);e.unshift(this.semantic.childNodes[0].id);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,e.join(","));this.completeMultiscript(sre.SemanticSkeleton.interleaveIds(c,d),sre.SemanticSkeleton.interleaveIds(a,b));return this.mml};sre.CaseText=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseText,sre.AbstractEnrichCase);sre.CaseText.test=function(a){return a.type===sre.SemanticAttr.Type.PUNCTUATED&&a.role===sre.SemanticAttr.Role.TEXT};
-sre.CaseText.prototype.getMathml=function(){var a=[],b=sre.EnrichMathml.collapsePunctuated(this.semantic,a);this.mml=sre.EnrichMathml.introduceNewLayer(a);sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.removeAttribute(sre.EnrichMathml.Attribute.CONTENT);sre.EnrichMathml.addCollapsedAttribute(this.mml,b);return this.mml};sre.EnrichCases=function(){};sre.EnrichCaseFactory.cases.push({test:sre.CaseEmbellished.test,constr:sre.CaseEmbellished},{test:sre.CaseDoubleScript.test,constr:sre.CaseDoubleScript},{test:sre.CaseTensor.test,constr:sre.CaseTensor},{test:sre.CaseMultiscripts.test,constr:sre.CaseMultiscripts},{test:sre.CaseLine.test,constr:sre.CaseLine},{test:sre.CaseBinomial.test,constr:sre.CaseBinomial},{test:sre.CaseTable.test,constr:sre.CaseTable},{test:sre.CaseText.test,constr:sre.CaseText});sre.Enrich={};sre.Enrich.semanticMathmlNode=function(a){a=a.cloneNode(!0);var b=sre.Semantic.getTree(a);return sre.EnrichMathml.enrich(a,b)};sre.Enrich.semanticMathmlSync=function(a){a=sre.DomUtil.parseInput(a);return sre.Enrich.semanticMathmlNode(a)};sre.Enrich.semanticMathml=function(a,b){if(sre.Engine.isReady()){var c=sre.DomUtil.parseInput(a);b(sre.Enrich.semanticMathmlNode(c))}else setTimeout(function(){sre.Enrich.semanticMathml(a,b)},500)};
+a,b,c,d]);var e=sre.SemanticSkeleton.collapsedLeafs(a,b,c,d);e.unshift(this.semantic.childNodes[0].id);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,e.join(","));this.completeMultiscript(sre.SemanticSkeleton.interleaveIds(c,d),sre.SemanticSkeleton.interleaveIds(a,b));return this.mml};sre.CaseText=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseText,sre.AbstractEnrichCase);sre.CaseText.test=function(a){return a.type===sre.SemanticAttr.Type.PUNCTUATED&&(a.role===sre.SemanticAttr.Role.TEXT||a.contentNodes.every(function(b){return b.role===sre.SemanticAttr.Role.DUMMY}))};
+sre.CaseText.prototype.getMathml=function(){var a=[],b=sre.EnrichMathml.collapsePunctuated(this.semantic,a);this.mml=sre.EnrichMathml.introduceNewLayer(a);sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.removeAttribute(sre.EnrichMathml.Attribute.CONTENT);sre.EnrichMathml.addCollapsedAttribute(this.mml,b);return this.mml};sre.EnrichCases=function(){};
+sre.EnrichCaseFactory.cases.push({test:sre.CaseEmbellished.test,constr:sre.CaseEmbellished},{test:sre.CaseDoubleScript.test,constr:sre.CaseDoubleScript},{test:sre.CaseTensor.test,constr:sre.CaseTensor},{test:sre.CaseMultiscripts.test,constr:sre.CaseMultiscripts},{test:sre.CaseLine.test,constr:sre.CaseLine},{test:sre.CaseBinomial.test,constr:sre.CaseBinomial},{test:sre.CaseProof.test,constr:sre.CaseProof},{test:sre.CaseTable.test,constr:sre.CaseTable},{test:sre.CaseText.test,constr:sre.CaseText});sre.Enrich={};sre.Enrich.semanticMathmlNode=function(a){a=a.cloneNode(!0);var b=sre.Semantic.getTree(a);return sre.EnrichMathml.enrich(a,b)};sre.Enrich.semanticMathmlSync=function(a){a=sre.DomUtil.parseInput(a);return sre.Enrich.semanticMathmlNode(a)};sre.Enrich.semanticMathml=function(a,b){if(sre.Engine.isReady()){var c=sre.DomUtil.parseInput(a);b(sre.Enrich.semanticMathmlNode(c))}else setTimeout(function(){sre.Enrich.semanticMathml(a,b)},500)};
 sre.Enrich.testTranslation__=function(a){new sre.EnrichCases;sre.Debugger.getInstance().init();a=sre.Enrich.semanticMathmlSync(sre.Enrich.prepareMmlString(a)).toString();sre.EnrichMathml.removeAttributePrefix(a);sre.Debugger.getInstance().exit();return a};sre.Enrich.prepareMmlString=function(a){a.match(/^<math/)||(a="<math>"+a);a.match(/\/math>$/)||(a+="</math>");return a};sre.ColorPicker=function(a,b){this.foreground=sre.ColorPicker.getChannelColor_(b,sre.ColorPicker.DEFAULT_FOREGROUND_);this.background=sre.ColorPicker.getChannelColor_(a,sre.ColorPicker.DEFAULT_BACKGROUND_)};sre.ColorPicker.DEFAULT_BACKGROUND_="blue";sre.ColorPicker.DEFAULT_FOREGROUND_="black";
 sre.ColorPicker.namedColors_={red:{red:255,green:0,blue:0},green:{red:0,green:255,blue:0},blue:{red:0,green:0,blue:255},yellow:{red:255,green:255,blue:0},cyan:{red:0,green:255,blue:255},magenta:{red:255,green:0,blue:255},white:{red:255,green:255,blue:255},black:{red:0,green:0,blue:0}};sre.ColorPicker.getChannelColor_=function(a,b){a=a||{color:b};var c=a.color?sre.ColorPicker.namedColors_[a.color]:a;c||(c=sre.ColorPicker.namedColors_[b]);c.alpha=a.hasOwnProperty("alpha")?a.alpha:1;return sre.ColorPicker.normalizeColor_(c)};
-sre.ColorPicker.normalizeColor_=function(a){var b=function(a){a=Math.max(a,0);a=Math.min(255,a);return Math.round(a)};a.red=b(a.red);a.green=b(a.green);a.blue=b(a.blue);a.alpha=Math.max(a.alpha,0);a.alpha=Math.min(1,a.alpha);return a};sre.ColorPicker.prototype.rgba=function(){var a=function(a){return"rgba("+a.red+","+a.green+","+a.blue+","+a.alpha+")"};return{background:a(this.background),foreground:a(this.foreground)}};
-sre.ColorPicker.prototype.rgb=function(){var a=function(a){return"rgb("+a.red+","+a.green+","+a.blue+")"};return{background:a(this.background),alphaback:this.background.alpha.toString(),foreground:a(this.foreground),alphafore:this.foreground.alpha.toString()}};
-sre.ColorPicker.prototype.hex=function(){var a=function(a){return"#"+sre.ColorPicker.toHex_(a.red)+sre.ColorPicker.toHex_(a.green)+sre.ColorPicker.toHex_(a.blue)};return{background:a(this.background),alphaback:this.background.alpha.toString(),foreground:a(this.foreground),alphafore:this.foreground.alpha.toString()}};sre.ColorPicker.toHex_=function(a){a=a.toString(16);return 1===a.length?"0"+a:a};sre.Highlighter=function(){};sre.Highlighter.prototype.highlight=function(a){};sre.Highlighter.prototype.unhighlight=function(){};sre.Highlighter.prototype.highlightAll=function(a){};sre.Highlighter.prototype.unhighlightAll=function(){};sre.Highlighter.prototype.setColor=function(a){};sre.Highlighter.prototype.addEvents=function(a,b){};sre.AbstractHighlighter=function(){this.currentHighlights_=[];this.color=null;this.mactionName="";this.state_={}};sre.AbstractHighlighter.prototype.highlight=function(a){this.currentHighlights_.push(a.map(goog.bind(function(a){return this.highlightNode(a)},this)))};sre.AbstractHighlighter.prototype.highlightNode=goog.abstractMethod;sre.AbstractHighlighter.prototype.highlightAll=function(a){a=this.getMactionNodes(a);for(var b=0,c;c=a[b];b++)this.highlight([c])};
-sre.AbstractHighlighter.prototype.unhighlight=function(){var a=this.currentHighlights_.pop();a&&a.forEach(goog.bind(function(a){return this.unhighlightNode(a)},this))};sre.AbstractHighlighter.prototype.unhighlightNode=goog.abstractMethod;sre.AbstractHighlighter.prototype.unhighlightAll=function(){for(;0<this.currentHighlights_.length;)this.unhighlight()};sre.AbstractHighlighter.prototype.setColor=function(a){this.color=a};sre.AbstractHighlighter.prototype.colorString=function(){return this.color.rgba()};
-sre.AbstractHighlighter.prototype.addEvents=function(a,b){a=this.getMactionNodes(a);for(var c=0,d;d=a[c];c++)for(var e in b)d.addEventListener(e,b[e])};sre.AbstractHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByClassName(this.mactionName)};sre.AbstractHighlighter.prototype.isMactionNode=function(a){return(a=a.className||a.getAttribute("class"))?a.match(new RegExp(this.mactionName)):!1};sre.AbstractHighlighter.prototype.resetState=function(a){delete this.state_[a]};
-sre.AbstractHighlighter.prototype.setState=function(a,b){this.state_[a]=b};sre.AbstractHighlighter.prototype.getState=function(a){return this.state_[a]};sre.CssHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="mjx-maction"};goog.inherits(sre.CssHighlighter,sre.AbstractHighlighter);sre.CssHighlighter.prototype.highlightNode=function(a){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color},c=this.colorString();a.style.backgroundColor=c.background;a.style.color=c.foreground;return b};sre.CssHighlighter.prototype.unhighlightNode=function(a){a.node.style.backgroundColor=a.background;a.node.style.color=a.foreground};sre.HtmlHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.HtmlHighlighter,sre.AbstractHighlighter);sre.HtmlHighlighter.prototype.setMode=function(a){this.mode=a};
-sre.HtmlHighlighter.prototype.highlightNode=function(a){var b={node:a,foreground:a.style.color,position:a.style.position},c=this.color.rgb();a.style.color=c.foreground;a.style.position="relative";var d=a.bbox;if(d&&d.w){var e=document.createElement("span"),f=parseFloat(a.style.paddingLeft||"0");e.style.backgroundColor=c.background;e.style.opacity=c.alphaback.toString();e.style.display="inline-block";e.style.height=d.h+d.d+.1+"em";e.style.verticalAlign=-d.d+"em";e.style.marginTop=e.style.marginBottom=
+sre.ColorPicker.normalizeColor_=function(a){var b=function(c){c=Math.max(c,0);c=Math.min(255,c);return Math.round(c)};a.red=b(a.red);a.green=b(a.green);a.blue=b(a.blue);a.alpha=Math.max(a.alpha,0);a.alpha=Math.min(1,a.alpha);return a};sre.ColorPicker.prototype.rgba=function(){var a=function(b){return"rgba("+b.red+","+b.green+","+b.blue+","+b.alpha+")"};return{background:a(this.background),foreground:a(this.foreground)}};
+sre.ColorPicker.prototype.rgb=function(){var a=function(b){return"rgb("+b.red+","+b.green+","+b.blue+")"};return{background:a(this.background),alphaback:this.background.alpha.toString(),foreground:a(this.foreground),alphafore:this.foreground.alpha.toString()}};
+sre.ColorPicker.prototype.hex=function(){var a=function(b){return"#"+sre.ColorPicker.toHex_(b.red)+sre.ColorPicker.toHex_(b.green)+sre.ColorPicker.toHex_(b.blue)};return{background:a(this.background),alphaback:this.background.alpha.toString(),foreground:a(this.foreground),alphafore:this.foreground.alpha.toString()}};sre.ColorPicker.toHex_=function(a){a=a.toString(16);return 1===a.length?"0"+a:a};sre.ContrastPicker=function(){this.hue=10;this.sat=100;this.incr=this.light=50};
+sre.ContrastPicker.prototype.generate=function(){return sre.ColorPicker.RGB2hex_(sre.ColorPicker.rgb2RGB_(sre.ColorPicker.hsl2rgb_(this.hue,this.sat,this.light)))};sre.ContrastPicker.prototype.increment=function(){this.hue=(this.hue+this.incr)%360};
+sre.ColorPicker.hsl2rgb_=function(a,b,c){c=1<c?c/100:c;var d=(1-Math.abs(2*c-1))*(1<b?b/100:b),e=d*(1-Math.abs(a/60%2-1));c-=d/2;var f=b=0,g=0;0<=a&&60>a?(a=$jscomp.makeIterator([d,e,0]),b=a.next().value,f=a.next().value,g=a.next().value):60<=a&&120>a?(a=$jscomp.makeIterator([e,d,0]),b=a.next().value,f=a.next().value,g=a.next().value):120<=a&&180>a?(a=$jscomp.makeIterator([0,d,e]),b=a.next().value,f=a.next().value,g=a.next().value):180<=a&&240>a?(a=$jscomp.makeIterator([0,e,d]),b=a.next().value,f=
+a.next().value,g=a.next().value):240<=a&&300>a?(a=$jscomp.makeIterator([e,0,d]),b=a.next().value,f=a.next().value,g=a.next().value):300<=a&&360>a&&(a=$jscomp.makeIterator([d,0,e]),b=a.next().value,f=a.next().value,g=a.next().value);return{red:b+c,green:f+c,blue:g+c}};sre.ColorPicker.rgb2RGB_=function(a){return{red:Math.round(255*a.red),green:Math.round(255*a.green),blue:Math.round(255*a.blue)}};sre.ColorPicker.RGB2hex_=function(a){return"rgb("+a.red+","+a.green+","+a.blue+")"};sre.Highlighter=function(){};sre.Highlighter.prototype.highlight=function(a){};sre.Highlighter.prototype.unhighlight=function(){};sre.Highlighter.prototype.highlightAll=function(a){};sre.Highlighter.prototype.unhighlightAll=function(){};sre.Highlighter.prototype.setColor=function(a){};sre.Highlighter.prototype.addEvents=function(a,b){};sre.AbstractHighlighter=function(){this.currentHighlights_=[];this.color=null;this.mactionName=""};sre.AbstractHighlighter.ATTR="sre-highlight";sre.AbstractHighlighter.prototype.highlight=function(a){this.currentHighlights_.push(a.map(goog.bind(function(b){var c=this.highlightNode(b);this.setHighlighted(b);return c},this)))};sre.AbstractHighlighter.prototype.highlightNode=goog.abstractMethod;sre.AbstractHighlighter.prototype.highlightAll=function(a){a=this.getMactionNodes(a);for(var b=0,c;c=a[b];b++)this.highlight([c])};
+sre.AbstractHighlighter.prototype.unhighlight=function(){var a=this.currentHighlights_.pop();a&&a.forEach(goog.bind(function(b){this.isHighlighted(b.node)&&(this.unhighlightNode(b),this.unsetHighlighted(b.node))},this))};sre.AbstractHighlighter.prototype.unhighlightNode=goog.abstractMethod;sre.AbstractHighlighter.prototype.unhighlightAll=function(){for(;0<this.currentHighlights_.length;)this.unhighlight()};sre.AbstractHighlighter.prototype.setColor=function(a){this.color=a};
+sre.AbstractHighlighter.prototype.colorString=function(){return this.color.rgba()};sre.AbstractHighlighter.prototype.addEvents=function(a,b){a=this.getMactionNodes(a);for(var c=0,d;d=a[c];c++)for(var e in b)d.addEventListener(e,b[e])};sre.AbstractHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByClassName(this.mactionName)};sre.AbstractHighlighter.prototype.isMactionNode=function(a){return(a=a.className||a.getAttribute("class"))?a.match(new RegExp(this.mactionName)):!1};
+sre.AbstractHighlighter.prototype.isHighlighted=function(a){return a.hasAttribute(sre.AbstractHighlighter.ATTR)};sre.AbstractHighlighter.prototype.setHighlighted=function(a){a.setAttribute(sre.AbstractHighlighter.ATTR,!0)};sre.AbstractHighlighter.prototype.unsetHighlighted=function(a){a.removeAttribute(sre.AbstractHighlighter.ATTR)};
+sre.AbstractHighlighter.prototype.colorizeAll=function(a){sre.XpathUtil.evalXPath(".//*[@"+sre.EnrichMathml.Attribute.ID+"]",a).forEach(goog.bind(function(b){this.colorize(b)},this))};sre.AbstractHighlighter.prototype.uncolorizeAll=function(a){sre.XpathUtil.evalXPath(".//*[@"+sre.EnrichMathml.Attribute.ID+"]",a).forEach(goog.bind(function(b){this.uncolorize(b)},this))};
+sre.AbstractHighlighter.prototype.colorize=function(a){var b=sre.EnrichMathml.addPrefix("foreground");a.hasAttribute(b)&&(a.setAttribute(b+"-old",a.style.color),a.style.color=a.getAttribute(b))};sre.AbstractHighlighter.prototype.uncolorize=function(a){var b=sre.EnrichMathml.addPrefix("foreground")+"-old";a.hasAttribute(b)&&(a.style.color=a.getAttribute(b))};sre.CssHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="mjx-maction"};goog.inherits(sre.CssHighlighter,sre.AbstractHighlighter);sre.CssHighlighter.prototype.highlightNode=function(a){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color},c=this.colorString();a.style.backgroundColor=c.background;a.style.color=c.foreground;return b};sre.CssHighlighter.prototype.unhighlightNode=function(a){a.node.style.backgroundColor=a.background;a.node.style.color=a.foreground};sre.ChtmlHighlighter=function(){sre.CssHighlighter.call(this)};goog.inherits(sre.ChtmlHighlighter,sre.CssHighlighter);sre.ChtmlHighlighter.prototype.isMactionNode=function(a){return a.tagName.toUpperCase()===this.mactionName.toUpperCase()};sre.ChtmlHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByTagName(this.mactionName)};sre.HtmlHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.HtmlHighlighter,sre.AbstractHighlighter);sre.HtmlHighlighter.prototype.setMode=function(a){this.mode=a};
+sre.HtmlHighlighter.prototype.highlightNode=function(a){var b={node:a,foreground:a.style.color,position:a.style.position},c=this.color.rgb();a.style.color=c.foreground;a.style.position="relative";var d=a.bbox;if(d&&d.w){var e=sre.DomUtil.createElement("span"),f=parseFloat(a.style.paddingLeft||"0");e.style.backgroundColor=c.background;e.style.opacity=c.alphaback.toString();e.style.display="inline-block";e.style.height=d.h+d.d+.1+"em";e.style.verticalAlign=-d.d+"em";e.style.marginTop=e.style.marginBottom=
 "-0.05em";e.style.width=d.w+0+"em";e.style.marginLeft=f-0+"em";e.style.marginRight=-d.w-f+"em";a.parentNode.insertBefore(e,a);b.box=e}return b};sre.HtmlHighlighter.prototype.unhighlightNode=function(a){var b=a.node;b.style.color=a.foreground;b.style.position=a.position;a.box&&a.box.parentNode.removeChild(a.box)};sre.MmlCssHighlighter=function(){sre.CssHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.MmlCssHighlighter,sre.CssHighlighter);sre.MmlCssHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByTagName(this.mactionName)};sre.MmlCssHighlighter.prototype.isMactionNode=function(a){return a.tagName===this.mactionName};sre.MmlHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.MmlHighlighter,sre.AbstractHighlighter);sre.MmlHighlighter.prototype.highlightNode=function(a){var b=a.getAttribute("style");b+=";background-color: "+this.colorString().background;b+=";color: "+this.colorString().foreground;a.setAttribute("style",b);return{node:a}};
 sre.MmlHighlighter.prototype.unhighlightNode=function(a){var b=a.node.getAttribute("style");b=b.replace(";background-color: "+this.colorString().background,"");b=b.replace(";color: "+this.colorString().foreground,"");a.node.setAttribute("style",b)};sre.MmlHighlighter.prototype.colorString=function(){return this.color.rgba()};sre.MmlHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByTagName(this.mactionName)};
 sre.MmlHighlighter.prototype.isMactionNode=function(a){return a.tagName===this.mactionName};sre.SvgHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="mjx-svg-maction"};goog.inherits(sre.SvgHighlighter,sre.AbstractHighlighter);
-sre.SvgHighlighter.prototype.highlightNode=function(a){if("svg"===a.tagName){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color};a.style.backgroundColor=this.colorString().background;a.style.color=this.colorString().foreground;return b}b=document.createElementNS("http://www.w3.org/2000/svg","rect");if("use"===a.nodeName){var c=document.createElementNS("http://www.w3.org/2000/svg","g");a.parentNode.insertBefore(c,a);c.appendChild(a);var d=c.getBBox();c.parentNode.replaceChild(a,
-c)}else d=a.getBBox();b.setAttribute("x",d.x-40);b.setAttribute("y",d.y-40);b.setAttribute("width",d.width+80);b.setAttribute("height",d.height+80);(d=a.getAttribute("transform"))&&b.setAttribute("transform",d);b.setAttribute("fill",this.colorString().background);a.parentNode.insertBefore(b,a);b={node:b,foreground:a.getAttribute("fill")};a.setAttribute("fill",this.colorString().foreground);return b};
-sre.SvgHighlighter.prototype.unhighlightNode=function(a){"background"in a?(a.node.style.backgroundColor=a.background,a.node.style.color=a.foreground):(a.foreground?a.node.nextSibling.setAttribute("fill",a.foreground):a.node.nextSibling.removeAttribute("fill"),a.node.parentNode.removeChild(a.node))};sre.SvgHighlighter.prototype.isMactionNode=function(a){a=a.className||a.getAttribute("class");return(a=a.baseVal?a.baseVal:a)?a.match(new RegExp(this.mactionName)):!1};sre.HighlighterFactory={};sre.HighlighterFactory.highlighter=function(a,b,c){a=new sre.ColorPicker(a,b);c=sre.HighlighterFactory.highlighterMapping_["NativeMML"===c.renderer&&"Safari"===c.browser?"MML-CSS":c.renderer];if(!c)return null;c.setColor(a);return c};sre.HighlighterFactory.addEvents=function(a,b,c){(c=sre.HighlighterFactory.highlighterMapping_[c.renderer])&&c.addEvents(a,b)};
-sre.HighlighterFactory.highlighterMapping_={SVG:new sre.SvgHighlighter,NativeMML:new sre.MmlHighlighter,"HTML-CSS":new sre.HtmlHighlighter,"MML-CSS":new sre.MmlCssHighlighter,CommonHTML:new sre.CssHighlighter};sre.Grammar=function(){this.parameters_={};this.corrections_={};this.preprocessors_={};this.stateStack_=[]};goog.addSingletonGetter(sre.Grammar);sre.Grammar.ATTRIBUTE="grammar";sre.Grammar.prototype.clear=function(){this.parameters_={};this.stateStack_=[]};sre.Grammar.prototype.setParameter=function(a,b){var c=this.parameters_[a];b?this.parameters_[a]=b:delete this.parameters_[a];return c};sre.Grammar.prototype.getParameter=function(a){return this.parameters_[a]};
-sre.Grammar.prototype.setCorrection=function(a,b){this.corrections_[a]=b};sre.Grammar.prototype.setPreprocessor=function(a,b){this.preprocessors_[a]=b};sre.Grammar.prototype.getCorrection=function(a){return this.corrections_[a]};sre.Grammar.prototype.getState=function(){var a=[],b;for(b in this.parameters_){var c=this.parameters_[b];a.push("string"===typeof c?b+":"+c:b)}return a.join(" ")};sre.Grammar.prototype.pushState=function(a){for(var b in a)a[b]=this.setParameter(b,a[b]);this.stateStack_.push(a)};
-sre.Grammar.prototype.popState=function(){var a=this.stateStack_.pop(),b;for(b in a)this.setParameter(b,a[b])};sre.Grammar.prototype.setAttribute=function(a){if(a&&a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE){var b=this.getState();b&&a.setAttribute(sre.Grammar.ATTRIBUTE,b)}};sre.Grammar.prototype.preprocess=function(a){return this.runProcessors_(a,this.preprocessors_)};sre.Grammar.prototype.correct=function(a){return this.runProcessors_(a,this.corrections_)};
-sre.Grammar.prototype.runProcessors_=function(a,b){for(var c in this.parameters_){var d=b[c];if(d){var e=this.parameters_[c];a=!0===e?d(a):d(a,e)}}return a};sre.Grammar.translateString_=function(a){var b=sre.Engine.getInstance();return b.evaluator(a,b.dynamicCstr)||a};
-sre.Grammar.prototype.apply=function(a,b){b=b||{};a=b.adjust||b.preprocess?sre.Grammar.getInstance().preprocess(a):a;if(this.parameters_.translate||b.translate)a=sre.Grammar.translateString_(a);return a=b.adjust||b.correct?sre.Grammar.getInstance().correct(a):a};sre.Grammar.parseState=function(a){var b={};a=a.split(" ");for(var c=0,d=a.length;c<d;c++){var e=a[c].split(":"),f=e[1];b[e[0]]=f?f:!0}return b};
-sre.Grammar.parseInput=function(a){var b={};a=a.split(":");for(var c=0,d=a.length;c<d;c++){var e=a[c].split("="),f=e[0].trim();e[1]?b[f]=e[1].trim():f.match(/^!/)?b[f.slice(1)]=!1:b[f]=!0}return b};sre.Grammar.correctFont_=function(a,b){if(!b||!a)return a;b=sre.L10n.getLocale().FONT[b]||b;b=b.split(/ |-/);b=new RegExp("^"+b.join("( |-)")+"( |-)");return a.replace(b,"")};sre.Grammar.addAnnotation_=function(a,b){return a+":"+b};sre.Grammar.getInstance().setCorrection("ignoreFont",sre.Grammar.correctFont_);
-sre.Grammar.getInstance().setPreprocessor("annotation",sre.Grammar.addAnnotation_);sre.Messages={};sre.Messages.MS={START:"",FRAC_V:"",FRAC_B:"",FRAC_S:"",END:"",FRAC_OVER:"",TWICE:"",NEST_FRAC:"",ENDFRAC:"",SUPER:"",SUB:"",SUP:"",SUPERSCRIPT:"",SUBSCRIPT:"",BASELINE:"",BASE:"",NESTED:"",NEST_ROOT:"",STARTROOT:"",ENDROOT:"",ROOTINDEX:"",ROOT:"",INDEX:"",UNDER:"",UNDERSCRIPT:"",OVER:"",OVERSCRIPT:""};sre.Messages.MS_FUNC={FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:function(a){return""},COMBINE_ROOT_INDEX:function(a,b){return a}};sre.Messages.MS_ROOT_INDEX={};
-sre.Messages.FONT={bold:"","bold-fraktur":"","bold-italic":"","bold-script":"",caligraphic:"","caligraphic-bold":"","double-struck":"","double-struck-italic":"",fraktur:"",italic:"",monospace:"",normal:"",oldstyle:"","oldstyle-bold":"",script:"","sans-serif":"","sans-serif-italic":"","sans-serif-bold":"","sans-serif-bold-italic":"",unknown:""};
-sre.Messages.ROLE={addition:"",multiplication:"",subtraction:"",division:"",equality:"",inequality:"",element:"",arrow:"",determinant:"",rowvector:"",binomial:"",squarematrix:"",multiline:"",matrix:"",vector:"",cases:"",table:"",unknown:""};sre.Messages.ENCLOSE={longdiv:"",actuarial:"",radical:"",box:"",roundedbox:"",circle:"",left:"",right:"",top:"",bottom:"",updiagonalstrike:"",downdiagonalstrike:"",verticalstrike:"",horizontalstrike:"",madruwb:"",updiagonalarrow:"",phasorangle:"",unknown:""};
-sre.Messages.NAVIGATE={COLLAPSIBLE:"",EXPANDABLE:"",LEVEL:""};sre.MathspeakUtil={};sre.MathspeakUtil.spaceoutText=function(a){return a.textContent.split("").join(" ")};sre.MathspeakUtil.spaceoutNumber=function(a){a=a.textContent.split("");for(var b=[],c=new sre.SystemExternal.xmldom.DOMParser,d=0,e;e=a[d];d++){var f=sre.Semantic.Type.NUMBER,g=e.match(/\W/)?sre.Semantic.Role.UNKNOWN:sre.Semantic.Role.PROTECTED;e=c.parseFromString("<"+f+' role="'+g+'">'+e+"</"+f+">","text/xml");b.push(e.documentElement)}return b};
-sre.MathspeakUtil.spaceoutIdentifier=function(a){var b=a.textContent;if(!b.match(/[a-zA-Z]+/))return a.setAttribute("role",sre.SemanticAttr.Role.PROTECTED),[a];a=b.split("");b=[];for(var c=new sre.SystemExternal.xmldom.DOMParser,d=0,e;e=a[d];d++){var f=sre.Semantic.Type.IDENTIFIER;e=c.parseFromString("<"+f+' role="'+sre.Semantic.Role.UNKNOWN+'">'+e+"</"+f+">","text/xml");b.push(e.documentElement)}return b};
-sre.MathspeakUtil.nestingBarriers=[sre.Semantic.Type.CASES,sre.Semantic.Type.CELL,sre.Semantic.Type.INTEGRAL,sre.Semantic.Type.LINE,sre.Semantic.Type.MATRIX,sre.Semantic.Type.MULTILINE,sre.Semantic.Type.OVERSCORE,sre.Semantic.Type.ROOT,sre.Semantic.Type.ROW,sre.Semantic.Type.SQRT,sre.Semantic.Type.SUBSCRIPT,sre.Semantic.Type.SUPERSCRIPT,sre.Semantic.Type.TABLE,sre.Semantic.Type.UNDERSCORE,sre.Semantic.Type.VECTOR];sre.MathspeakUtil.nestingDepth={};
-sre.MathspeakUtil.resetNestingDepth=function(a){sre.MathspeakUtil.nestingDepth={};return[a]};
-sre.MathspeakUtil.getNestingDepth=function(a,b,c,d,e,f){d=d||sre.MathspeakUtil.nestingBarriers;e=e||{};f=f||function(a){return!1};var g=(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(b);sre.MathspeakUtil.nestingDepth[a]||(sre.MathspeakUtil.nestingDepth[a]={});if(sre.MathspeakUtil.nestingDepth[a][g])return sre.MathspeakUtil.nestingDepth[a][g];if(f(b)||0>c.indexOf(b.tagName))return 0;b=sre.MathspeakUtil.computeNestingDepth_(b,c,sre.BaseUtil.setdifference(d,c),e,f,0);return sre.MathspeakUtil.nestingDepth[a][g]=
-b};sre.MathspeakUtil.containsAttr=function(a,b){if(!a.attributes)return!1;a=sre.DomUtil.toArray(a.attributes);for(var c=0,d;d=a[c];c++)if(b[d.nodeName]===d.nodeValue)return!0;return!1};
-sre.MathspeakUtil.computeNestingDepth_=function(a,b,c,d,e,f){if(e(a)||-1<c.indexOf(a.tagName)||sre.MathspeakUtil.containsAttr(a,d))return f;-1<b.indexOf(a.tagName)&&f++;if(!a.childNodes||0===a.childNodes.length)return f;a=sre.DomUtil.toArray(a.childNodes);return Math.max.apply(null,a.map(function(a){return sre.MathspeakUtil.computeNestingDepth_(a,b,c,d,e,f)}))};
-sre.MathspeakUtil.fractionNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("fraction",a,["fraction"],sre.MathspeakUtil.nestingBarriers,{},sre.Messages.MS_FUNC.FRAC_NEST_DEPTH)};sre.MathspeakUtil.openingFractionVerbose=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.START)+sre.Messages.MS.FRAC_V};
-sre.MathspeakUtil.closingFractionVerbose=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.END)+sre.Messages.MS.FRAC_V};sre.MathspeakUtil.overFractionVerbose=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.FRAC_OVER).trim()};sre.MathspeakUtil.openingFractionBrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.START)+sre.Messages.MS.FRAC_B};
-sre.MathspeakUtil.closingFractionBrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.END)+sre.Messages.MS.FRAC_B};sre.MathspeakUtil.openingFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.FRAC_S:sre.Messages.MS.NEST_FRAC+sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1)+sre.Messages.MS.FRAC_S};
-sre.MathspeakUtil.closingFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.ENDFRAC:sre.Messages.MS.NEST_FRAC+sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1)+sre.Messages.MS.ENDFRAC};sre.MathspeakUtil.overFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.FRAC_OVER:sre.Messages.MS.NEST_FRAC+sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1)+sre.Messages.MS.OVER};sre.MathspeakUtil.onesNumbers=" one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen".split(" ");
-sre.MathspeakUtil.tensNumbers="  twenty thirty forty fifty sixty seventy eighty ninety".split(" ");sre.MathspeakUtil.largeNumbers=" thousand million billion trillion quadrillion quintillion sextillion septillion octillion nonillion decillion".split(" ");
-sre.MathspeakUtil.hundredsToWords=function(a){a%=1E3;var b=sre.MathspeakUtil.onesNumbers[Math.floor(a/100)]?sre.MathspeakUtil.onesNumbers[Math.floor(a/100)]+"-hundred":"";(a%=100)&&(b=b+(b?"-":"")+(sre.MathspeakUtil.onesNumbers[a]||sre.MathspeakUtil.tensNumbers[Math.floor(a/10)]+"-"+sre.MathspeakUtil.onesNumbers[a%10]));return b};
-sre.MathspeakUtil.numberToWords=function(a){if(a>=Math.pow(10,36))return a.toString();for(var b=0,c="";0<a;)a%1E3&&(c=sre.MathspeakUtil.hundredsToWords(a%1E3)+(b?"-"+sre.MathspeakUtil.largeNumbers[b]+"-":"")+c),a=Math.floor(a/1E3),b++;return c};
-sre.MathspeakUtil.numberToOrdinal=function(a,b){if(2===a)return b?"halves":"half";a=sre.MathspeakUtil.numberToWords(a);a=a.match(/one$/)?a.slice(0,-3)+"first":a.match(/two$/)?a.slice(0,-3)+"second":a.match(/three$/)?a.slice(0,-5)+"third":a.match(/five$/)?a.slice(0,-4)+"fifth":a.match(/eight$/)?a.slice(0,-5)+"eighth":a.match(/nine$/)?a.slice(0,-4)+"ninth":a.match(/twelve$/)?a.slice(0,-6)+"twelfth":a.match(/ty$/)?a.slice(0,-2)+"tieth":a+"th";return b?a+"s":a};
-sre.MathspeakUtil.simpleOrdinal=function(a){var b=a%100,c=a.toString();if(10<b&&20>b)return c+"th";switch(a%10){case 1:return c+"st";case 2:return c+"nd";case 3:return c+"rd";default:return c+"th"}};sre.MathspeakUtil.ordinalCounter=function(a,b){var c=0;return function(){return sre.MathspeakUtil.simpleOrdinal(++c)+" "+b}};
-sre.MathspeakUtil.convertVulgarFraction_=function(a){if(!a.childNodes||!a.childNodes[0]||!a.childNodes[0].childNodes||2>a.childNodes[0].childNodes.length||a.childNodes[0].childNodes[0].tagName!==sre.SemanticAttr.Type.NUMBER||a.childNodes[0].childNodes[0].getAttribute("role")!==sre.SemanticAttr.Role.INTEGER||a.childNodes[0].childNodes[1].tagName!==sre.SemanticAttr.Type.NUMBER||a.childNodes[0].childNodes[1].getAttribute("role")!==sre.SemanticAttr.Role.INTEGER)return{convertible:!1,content:a.textContent};
-var b=a.childNodes[0].childNodes[1].textContent;a=a.childNodes[0].childNodes[0].textContent;var c=Number(b),d=Number(a);return isNaN(c)||isNaN(d)?{convertible:!1,content:a+" "+sre.Messages.MS.FRAC_OVER+" "+b}:{convertible:!0,enumerator:d,denominator:c}};
-sre.MathspeakUtil.vulgarFraction=function(a){a=sre.MathspeakUtil.convertVulgarFraction_(a);return a.convertible&&a.enumerator&&a.denominator?sre.MathspeakUtil.numberToWords(a.enumerator)+"-"+sre.MathspeakUtil.numberToOrdinal(a.denominator,1!==a.enumerator):a.content||""};sre.MathspeakUtil.vulgarFractionSmall=function(a){var b=sre.MathspeakUtil.convertVulgarFraction_(a);return b.convertible?(a=b.enumerator,b=b.denominator,0<a&&10>a&&0<b&&100>b):!1};
-sre.MathspeakUtil.isSmallVulgarFraction=function(a){return sre.MathspeakUtil.vulgarFractionSmall(a)?[a]:[]};
-sre.MathspeakUtil.nestedSubSuper=function(a,b,c){for(;a.parentNode;){var d=a.parentNode,e=d.parentNode,f=a.getAttribute&&a.getAttribute("role");if(e.tagName===sre.Semantic.Type.SUBSCRIPT&&a===d.childNodes[1]||e.tagName===sre.Semantic.Type.TENSOR&&f&&(f===sre.Semantic.Role.LEFTSUB||f===sre.Semantic.Role.RIGHTSUB))b=c.sub+" "+b;if(e.tagName===sre.Semantic.Type.SUPERSCRIPT&&a===d.childNodes[1]||e.tagName===sre.Semantic.Type.TENSOR&&f&&(f===sre.Semantic.Role.LEFTSUPER||f===sre.Semantic.Role.RIGHTSUPER))b=
-c.sup+" "+b;a=e}return b.trim()};sre.MathspeakUtil.subscriptVerbose=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUBSCRIPT,{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB})};sre.MathspeakUtil.subscriptBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUB,{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})};
-sre.MathspeakUtil.superscriptVerbose=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUPERSCRIPT,{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB})};sre.MathspeakUtil.superscriptBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUP,{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})};
-sre.MathspeakUtil.baselineVerbose=function(a){return(a=sre.MathspeakUtil.nestedSubSuper(a,"",{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB}))?a.replace(new RegExp(sre.Messages.MS.SUB+"$"),sre.Messages.MS.SUBSCRIPT).replace(new RegExp(sre.Messages.MS.SUPER+"$"),sre.Messages.MS.SUPERSCRIPT):sre.Messages.MS.BASELINE};sre.MathspeakUtil.baselineBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,"",{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})||sre.Messages.MS.BASE};
-sre.MathspeakUtil.radicalNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("radical",a,["sqrt","root"],sre.MathspeakUtil.nestingBarriers,{})};sre.MathspeakUtil.nestedRadical=function(a,b,c){var d=sre.MathspeakUtil.radicalNestingDepth(a);c=(a=sre.MathspeakUtil.getRootIndex(a))?sre.Messages.MS_FUNC.COMBINE_ROOT_INDEX(c,a):c;return 1===d?c:b+sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(d-1)+c};
-sre.MathspeakUtil.getRootIndex=function(a){a="sqrt"===a.tagName?"2":sre.XpathUtil.evalXPath("children/*[1]",a)[0].textContent.trim();return sre.Messages.MS_ROOT_INDEX[a]||""};sre.MathspeakUtil.openingRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.STARTROOT)};sre.MathspeakUtil.closingRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.ENDROOT)};
-sre.MathspeakUtil.indexRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.ROOTINDEX)};sre.MathspeakUtil.openingRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.STARTROOT)};sre.MathspeakUtil.closingRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ENDROOT)};
-sre.MathspeakUtil.indexRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ROOTINDEX)};sre.MathspeakUtil.openingRadicalSbrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ROOT)};sre.MathspeakUtil.indexRadicalSbrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.INDEX)};
-sre.MathspeakUtil.underscoreNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("underscore",a,["underscore"],sre.MathspeakUtil.nestingBarriers,{},function(a){return a.tagName&&a.tagName===sre.Semantic.Type.UNDERSCORE&&a.childNodes[0].childNodes[1].getAttribute("role")===sre.Semantic.Role.UNDERACCENT})};sre.MathspeakUtil.nestedUnderscore=function(a){a=sre.MathspeakUtil.underscoreNestingDepth(a);return Array(a).join(sre.Messages.MS.UNDER)+sre.Messages.MS.UNDERSCRIPT};
-sre.MathspeakUtil.overscoreNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("overscore",a,["overscore"],sre.MathspeakUtil.nestingBarriers,{},function(a){return a.tagName&&a.tagName===sre.Semantic.Type.OVERSCORE&&a.childNodes[0].childNodes[1].getAttribute("role")===sre.Semantic.Role.OVERACCENT})};sre.MathspeakUtil.nestedOverscore=function(a){a=sre.MathspeakUtil.overscoreNestingDepth(a);return Array(a).join(sre.Messages.MS.OVER)+sre.Messages.MS.OVERSCRIPT};
-sre.MathspeakUtil.determinantIsSimple=function(a){if(a.tagName!==sre.Semantic.Type.MATRIX||a.getAttribute("role")!==sre.Semantic.Role.DETERMINANT)return[];for(var b=sre.XpathUtil.evalXPath("children/row/children/cell/children/*",a),c=0,d;d=b[c];c++)if(d.tagName!==sre.Semantic.Type.NUMBER){if(d.tagName===sre.Semantic.Type.IDENTIFIER&&(d=d.getAttribute("role"),d===sre.Semantic.Role.LATINLETTER||d===sre.Semantic.Role.GREEKLETTER||d===sre.Semantic.Role.OTHERLETTER))continue;return[]}return[a]};
-sre.MathspeakUtil.generateBaselineConstraint=function(){var a=function(a){return a.map(function(a){return"ancestor::"+a})},b="not("+a(["subscript","superscript","tensor"]).join(" or ")+")",c=a(["relseq","multrel"]);a=a(["fraction","punctuation","fenced","sqrt","root"]);for(var d=[],e=0,f;f=a[e];e++)d=d.concat(c.map(function(a){return f+"/"+a}));c="not("+d.join(" | ")+")";return["ancestor::*/following-sibling::*",b,c].join(" and ")};
-sre.MathspeakUtil.removeParens=function(a){if(!a.childNodes.length||!a.childNodes[0].childNodes.length||!a.childNodes[0].childNodes[0].childNodes.length)return"";a=a.childNodes[0].childNodes[0].childNodes[0].textContent;return a.match(/^\(.+\)$/)?a.slice(1,-1):a};sre.Locale={};sre.Locale.nestingToString=function(a){switch(a){case 1:return"";case 2:return sre.Messages.MS.TWICE;default:return a.toString()}};sre.Locale.vulgarNestingDepth=function(a){return sre.MathspeakUtil.vulgarFractionSmall(a)};sre.Locale.combinePostfixIndex=function(a,b){return a===sre.Messages.MS.ROOTINDEX||a===sre.Messages.MS.INDEX?a:a+" "+b};sre.Locale.localFont=function(a){return sre.Messages.FONT[a]||a};sre.Grammar.getInstance().setCorrection("localFont",sre.Locale.localFont);
-sre.Locale.localRole=function(a){return sre.Messages.ROLE[a]||a};sre.Grammar.getInstance().setCorrection("localRole",sre.Locale.localRole);sre.Locale.localEnclose=function(a){return sre.Messages.ENCLOSE[a]||a};sre.Grammar.getInstance().setCorrection("localEnclose",sre.Locale.localEnclose);sre.Locale.en={MS:{START:"Start",FRAC_V:"Fraction",FRAC_B:"Frac",FRAC_S:"Frac",END:"End",FRAC_OVER:"Over",TWICE:"Twice",NEST_FRAC:"Nest",ENDFRAC:"EndFrac",SUPER:"Super",SUB:"Sub",SUP:"Sup",SUPERSCRIPT:"Superscript",SUBSCRIPT:"Subscript",BASELINE:"Baseline",BASE:"Base",NESTED:"Nested",NEST_ROOT:"Nest",STARTROOT:"StartRoot",ENDROOT:"EndRoot",ROOTINDEX:"RootIndex",ROOT:"Root",INDEX:"Index",UNDER:"Under",UNDERSCRIPT:"Underscript",OVER:"Over",OVERSCRIPT:"Overscript"},MS_FUNC:{FRAC_NEST_DEPTH:sre.Locale.vulgarNestingDepth,
-RADICAL_NEST_DEPTH:sre.Locale.nestingToString,COMBINE_ROOT_INDEX:function(a,b){return a}},MS_ROOT_INDEX:{},FONT:{},ROLE:{addition:"addition",multiplication:"multiplication",subtraction:"subtraction",division:"division",equality:"equality",inequality:"inequality",element:"element",arrow:"arrow",determinant:"determinant",rowvector:"row vector",binomial:"binomial",squarematrix:"square matrix",multiline:"multiple lines",matrix:"matrix",vector:"vector",cases:"case statement",table:"table",unknown:"unknown"},
-ENCLOSE:{longdiv:"long division",actuarial:"actuarial symbol",radical:"square root",box:"box",roundedbox:"rounded box",circle:"circle",left:"left vertical-line",right:"right vertical-line",top:"overbar",bottom:"underbar",updiagonalstrike:"crossout",downdiagonalstrike:"crossout",verticalstrike:"vertical strikeout",horizontalstrike:"crossout",madruwb:"Arabic factorial symbol",updiagonalarrow:"diagonal arrow",phasorangle:"phasor angle",unknown:"long division"},NAVIGATE:{COLLAPSIBLE:"collapsible",EXPANDABLE:"expandable",
-LEVEL:"Level"}};sre.Locale.es={MS:{START:"empezar ",FRAC_V:"fracci\u00f3n",FRAC_B:"frac",FRAC_S:"frac",END:"finalizar ",FRAC_OVER:"entre ",TWICE:"",NEST_FRAC:"",ENDFRAC:"",SUPER:"super",SUB:"sub",SUP:"sup",SUPERSCRIPT:"super\u00edndice",SUBSCRIPT:"sub\u00edndice",BASELINE:"l\u00ednea base",BASE:"",NESTED:"",NEST_ROOT:"",STARTROOT:"empezar ra\u00edz",ENDROOT:"finalizar ra\u00edz",ROOTINDEX:"\u00edndice de ra\u00edz",ROOT:"ra\u00edz",INDEX:"",UNDER:"bajo",UNDERSCRIPT:"bajo\u00edndice",OVER:"sobre",OVERSCRIPT:"sobre\u00edndice"},
-MS_FUNC:{FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:function(a){return""},COMBINE_ROOT_INDEX:sre.Locale.combinePostfixIndex},MS_ROOT_INDEX:{2:"cuadrada",3:"c\u00fabica",4:"a la cuarta",5:"a la quinta",6:"a la sexta",7:"a la s\u00e9ptima",8:"a la octava",9:"a la novena",10:"a la d\u00e9cima"},FONT:{bold:"negrita","bold-fraktur":"negrita Fraktur","bold-italic":"negrita cursiva","bold-script":"negrita script",caligraphic:"caligr\u00e1fica","caligraphic-bold":"caligr\u00e1fica negrita",
-"double-struck":"negrita de pizarra","double-struck-italic":"negrita de pizarra cursiva",fraktur:"Fraktur",italic:"cursiva",monospace:"monoespacio",normal:"normal",oldstyle:"estilo antiguo","oldstyle-bold":"estilo antiguo negrita",script:"script","sans-serif":"sans-serif","sans-serif-italic":"sans-serif cursiva","sans-serif-bold":"sans-serif negrita","sans-serif-bold-italic":"sans-serif negrita cursiva",unknown:"desconocida"},ROLE:{addition:"adici\u00f3n",multiplication:"multiplicaci\u00f3n",subtraction:"resta",
-division:"divisi\u00f3n",equality:"igualdad",inequality:"desigualdad",element:"elemento",arrow:"flecha",determinant:"determinante",rowvector:"fila vector",binomial:"binomial",squarematrix:"matriz cuadrada",multiline:"l\u00edneas m\u00faltiples",matrix:"matriz",vector:"vector",cases:"declaraci\u00f3n de caso",table:"mesa",unknown:"desconocida"},ENCLOSE:{longdiv:"divisi\u00f3n larga",actuarial:"s\u00edmbolo actuarial",radical:"ra\u00edz cuadrada",box:"caja",roundedbox:"caja redondeada",circle:"c\u00edrculo",
-left:"barra vertical izquierda",right:"barra vertical derecha",top:"barra",bottom:"subbarra",updiagonalstrike:"tachadura",downdiagonalstrike:"tachadura",verticalstrike:"ponchado vertical",horizontalstrike:"cruce",madruwb:"s\u00edmbolo factorial \u00e1rabe",updiagonalarrow:"flecha diagonal",phasorangle:"\u00e1ngulo de fasores",unknown:"divisi\u00f3n larga"},NAVIGATE:{COLLAPSIBLE:"plegable",EXPANDABLE:"ampliable",LEVEL:"nivel"}};sre.L10n={};sre.L10n.setLocale=function(){var a=sre.L10n.getLocale();if(a)for(var b in a)sre.Messages[b]=a[b]};sre.L10n.getLocale=function(){return sre.Locale[sre.Engine.getInstance().locale]||sre.Locale.en};sre.AuditoryDescription=function(a){this.context=a.context||"";this.text=a.text||"";this.userValue=a.userValue||"";this.annotation=a.annotation||"";this.personality=a.personality||{}};sre.AuditoryDescription.create=function(a,b){a.text=sre.Grammar.getInstance().apply(a.text,b||{});return new sre.AuditoryDescription(a)};sre.AuditoryDescription.prototype.isEmpty=function(){return 0==this.context.length&&0==this.text.length&&0==this.userValue.length&&0==this.annotation.length};
-sre.AuditoryDescription.prototype.clone=function(){if(this.personality){var a={};for(var b in this.personality)a=this.personality[b]}return new sre.AuditoryDescription({context:this.context,text:this.text,userValue:this.userValue,annotation:this.annotation,personality:a})};sre.AuditoryDescription.prototype.toString=function(){return'AuditoryDescription(context="'+this.context+'"  text="'+this.text+'"  userValue="'+this.userValue+'"  annotation="'+this.annotation+'")'};
-sre.AuditoryDescription.prototype.descriptionString=function(){return this.context&&this.text?this.context+" "+this.text:this.context||this.text};sre.AuditoryDescription.prototype.equals=function(a){return this.context==a.context&&this.text==a.text&&this.userValue==a.userValue&&this.annotation==a.annotation};sre.SpeechRule=function(a,b,c,d){this.name=a;this.dynamicCstr=b;this.precondition=c;this.action=d};sre.SpeechRule.prototype.toString=function(){return this.name+" | "+this.dynamicCstr.toString()+" | "+this.precondition.toString()+" ==> "+this.action.toString()};sre.SpeechRule.Type={NODE:"NODE",MULTI:"MULTI",TEXT:"TEXT",PERSONALITY:"PERSONALITY"};
+sre.SvgHighlighter.prototype.highlightNode=function(a){if(this.isHighlighted(a))return{node:a.previousSibling||a,background:a.style.backgroundColor,foreground:a.style.color};if("svg"===a.tagName){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color};a.style.backgroundColor=this.colorString().background;a.style.color=this.colorString().foreground;return b}b=sre.DomUtil.createElementNS("http://www.w3.org/2000/svg","rect");if("use"===a.nodeName){var c=sre.DomUtil.createElementNS("http://www.w3.org/2000/svg",
+"g");a.parentNode.insertBefore(c,a);c.appendChild(a);var d=c.getBBox();c.parentNode.replaceChild(a,c)}else d=a.getBBox();b.setAttribute("x",d.x-40);b.setAttribute("y",d.y-40);b.setAttribute("width",d.width+80);b.setAttribute("height",d.height+80);(d=a.getAttribute("transform"))&&b.setAttribute("transform",d);b.setAttribute("fill",this.colorString().background);b.setAttribute(sre.AbstractHighlighter.ATTR,!0);a.parentNode.insertBefore(b,a);b={node:b,foreground:a.getAttribute("fill")};a.setAttribute("fill",
+this.colorString().foreground);return b};sre.SvgHighlighter.prototype.setHighlighted=function(a){"svg"===a.tagName&&sre.SvgHighlighter.superClass_.setHighlighted.call(this,a)};sre.SvgHighlighter.prototype.unhighlightNode=function(a){"background"in a?(a.node.style.backgroundColor=a.background,a.node.style.color=a.foreground):(a.foreground?a.node.nextSibling.setAttribute("fill",a.foreground):a.node.nextSibling.removeAttribute("fill"),a.node.parentNode.removeChild(a.node))};
+sre.SvgHighlighter.prototype.isMactionNode=function(a){a=a.className||a.getAttribute("class");return(a=void 0!==a.baseVal?a.baseVal:a)?a.match(new RegExp(this.mactionName)):!1};sre.SvgV3Highlighter=function(){sre.SvgHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.SvgV3Highlighter,sre.SvgHighlighter);
+sre.SvgV3Highlighter.prototype.highlightNode=function(a){if(this.isHighlighted(a))return{node:a,background:this.colorString().background,foreground:this.colorString().foreground};if("svg"===a.tagName||"MJX-CONTAINER"===a.tagName){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color};a.style.backgroundColor=this.colorString().background;a.style.color=this.colorString().foreground;return b}b=sre.DomUtil.createElementNS("http://www.w3.org/2000/svg","rect");b.setAttribute("sre-highlighter-added",
+!0);var c=a.getBBox();b.setAttribute("x",c.x-40);b.setAttribute("y",c.y-40);b.setAttribute("width",c.width+80);b.setAttribute("height",c.height+80);(c=a.getAttribute("transform"))&&b.setAttribute("transform",c);b.setAttribute("fill",this.colorString().background);a.parentNode.insertBefore(b,a);b={node:a,foreground:a.getAttribute("fill")};"rect"===a.nodeName?(c=new sre.ColorPicker({alpha:0,color:"black"}),a.setAttribute("fill",c.rgba().foreground)):a.setAttribute("fill",this.colorString().foreground);
+return b};sre.SvgV3Highlighter.prototype.unhighlightNode=function(a){var b=a.node.previousSibling;b&&b.hasAttribute("sre-highlighter-added")?(a.foreground?a.node.setAttribute("fill",a.foreground):a.node.removeAttribute("fill"),a.node.parentNode.removeChild(b)):(a.node.style.backgroundColor=a.background,a.node.style.color=a.foreground)};sre.SvgV3Highlighter.prototype.isMactionNode=function(a){return a.getAttribute("data-mml-node")===this.mactionName};
+sre.SvgV3Highlighter.prototype.getMactionNodes=function(a){return sre.XpathUtil.evalXPath('.//*[@data-mml-node="'+this.mactionName+'"]',a)};sre.HighlighterFactory={};sre.HighlighterFactory.highlighter=function(a,b,c){a=new sre.ColorPicker(a,b);c=new (sre.HighlighterFactory.highlighterMapping_["NativeMML"===c.renderer&&"Safari"===c.browser?"MML-CSS":"SVG"===c.renderer&&"v3"===c.browser?"SVG-V3":c.renderer]||sre.HighlighterFactory.highlighterMapping_.NativeMML);c.setColor(a);return c};sre.HighlighterFactory.addEvents=function(a,b,c){(c=sre.HighlighterFactory.highlighterMapping_[c.renderer])&&(new c).addEvents(a,b)};
+sre.HighlighterFactory.highlighterMapping_={SVG:sre.SvgHighlighter,"SVG-V3":sre.SvgV3Highlighter,NativeMML:sre.MmlHighlighter,"HTML-CSS":sre.HtmlHighlighter,"MML-CSS":sre.MmlCssHighlighter,CommonHTML:sre.CssHighlighter,CHTML:sre.ChtmlHighlighter};sre.Span=function(a,b){this.string=a;this.attributes=b};sre.AudioUtil={};sre.AudioUtil.mergePause=function(a,b,c){return a?{pause:sre.AudioUtil.mergePause_(a.pause,b.pause,c)}:b};sre.AudioUtil.mergePause_=function(a,b,c){return(c||function(d,e){return"number"===typeof d||"number"===typeof e?d+e:"number"===typeof d?e:"number"===typeof e?d:[a,b].sort()[0]}).call(null,a,b)};sre.AudioUtil.mergeMarkup=function(a,b){delete a.open;b.close.forEach(function(d){delete a[d]});b.open.forEach(function(d){a[d]=b[d]});var c=Object.keys(a);a.open=c};
+sre.AudioUtil.sortClose=function(a,b){if(1>=a.length)return a;for(var c=[],d=0,e;e=b[d],a.length;d++)e.close&&e.close.length&&e.close.forEach(function(f){var g=a.indexOf(f);-1!==g&&(c.unshift(f),a.splice(g,1))});return c};sre.AudioUtil.PersonalityRanges_={};sre.AudioUtil.LastOpen_=[];
+sre.AudioUtil.personalityMarkup=function(a){sre.AudioUtil.PersonalityRanges_={};sre.AudioUtil.LastOpen_=[];for(var b=[],c={},d=0,e;e=a[d];d++){var f=null,g=e.descriptionSpan(),h=e.personality;e=h[sre.Engine.personalityProps.JOIN];delete h[sre.Engine.personalityProps.JOIN];"undefined"!==typeof h[sre.Engine.personalityProps.PAUSE]&&(f={},f[sre.Engine.personalityProps.PAUSE]=h[sre.Engine.personalityProps.PAUSE],delete h[sre.Engine.personalityProps.PAUSE]);h=sre.AudioUtil.personalityDiff_(h,c);sre.AudioUtil.appendMarkup_(b,
+g,h,e,f,!0)}b=b.concat(sre.AudioUtil.finaliseMarkup_());return b=sre.AudioUtil.simplifyMarkup_(b)};
+sre.AudioUtil.appendElement_=function(a,b){var c=a[a.length-1];if(c)if(sre.AudioUtil.isSpanElement(b)&&sre.AudioUtil.isSpanElement(c))if("undefined"===typeof c.join)c.span=c.span.concat(b.span);else{a=c.span.pop();var d=b.span.shift();c.span.push(a+c.join+d);c.span=c.span.concat(b.span);c.join=b.join}else sre.AudioUtil.isPauseElement(b)&&sre.AudioUtil.isPauseElement(c)?c.pause=sre.AudioUtil.mergePause_(c.pause,b.pause):a.push(b);else a.push(b)};
+sre.AudioUtil.simplifyMarkup_=function(a){for(var b={},c=[],d=0,e;e=a[d];d++)if(sre.AudioUtil.isMarkupElement(e))if(!e.close||1!==e.close.length||e.open.length)sre.AudioUtil.copyValues_(e,b),c.push(e);else{var f=a[d+1];if(!f||sre.AudioUtil.isSpanElement(f))sre.AudioUtil.copyValues_(e,b),c.push(e);else{var g=sre.AudioUtil.isPauseElement(f)?f:null;g&&(f=a[d+2]);f&&sre.AudioUtil.isMarkupElement(f)&&f.open[0]===e.close[0]&&!f.close.length&&f[f.open[0]]===b[f.open[0]]?g?(sre.AudioUtil.appendElement_(c,
+g),d+=2):d+=1:(sre.AudioUtil.copyValues_(e,b),c.push(e))}}else sre.AudioUtil.appendElement_(c,e);return c};sre.AudioUtil.copyValues_=function(a,b){a.rate&&(b.rate=a.rate);a.pitch&&(b.pitch=a.pitch);a.volume&&(b.volume=a.volume)};sre.AudioUtil.finaliseMarkup_=function(){for(var a=[],b=sre.AudioUtil.LastOpen_.length-1;0<=b;b--){var c=sre.AudioUtil.LastOpen_[b];if(c.length){for(var d={open:[],close:[]},e=0;e<c.length;e++){var f=c[e];d.close.push(f);d[f]=0}a.push(d)}}return a};
+sre.AudioUtil.isMarkupElement=function(a){return"object"===typeof a&&a.open};sre.AudioUtil.isPauseElement=function(a){return"object"===typeof a&&1===Object.keys(a).length&&Object.keys(a)[0]===sre.Engine.personalityProps.PAUSE};sre.AudioUtil.isSpanElement=function(a){var b=Object.keys(a);return"object"===typeof a&&(1===b.length&&"span"===b[0]||2===b.length&&("span"===b[0]&&"join"===b[1]||"span"===b[1]&&"join"===b[0]))};
+sre.AudioUtil.appendMarkup_=function(a,b,c,d,e,f){if(f){if(f=a[a.length-1])var g=f[sre.Engine.personalityProps.JOIN];if(f&&!b.string&&e&&sre.AudioUtil.isPauseElement(f)){var h=sre.Engine.personalityProps.PAUSE;f[h]=sre.AudioUtil.mergePause_(f[h],e[h]);e=null}f&&b.string&&0===Object.keys(c).length&&sre.AudioUtil.isSpanElement(f)&&("undefined"!==typeof g&&(h=f.span.pop(),b=new sre.Span(h.string+g+b.string,h.attributes)),f.span.push(b),b=new sre.Span("",{}),f[sre.Engine.personalityProps.JOIN]=d)}0!==
+Object.keys(c).length&&a.push(c);b.string&&a.push({span:[b],join:d});e&&a.push(e)};
+sre.AudioUtil.personalityDiff_=function(a,b){if(!b)return a;var c={};for(h in sre.Engine.personalityProps){var d=sre.Engine.personalityProps[h],e=a[d],f=b[d];if(!(!e&&!f||e&&f&&e===f)){var g=e||0;sre.AudioUtil.isMarkupElement(c)||(c.open=[],c.close=[]);e||c.close.push(d);f||c.open.push(d);f&&e&&(c.close.push(d),c.open.push(d));b[d]=g;c[d]=g;sre.AudioUtil.PersonalityRanges_[d]?sre.AudioUtil.PersonalityRanges_[d].push(g):sre.AudioUtil.PersonalityRanges_[d]=[g]}}if(sre.AudioUtil.isMarkupElement(c)){for(a=
+c.close.slice();0<a.length;){var h=sre.AudioUtil.LastOpen_.pop();d=sre.BaseUtil.setdifference(h,a);a=sre.BaseUtil.setdifference(a,h);h=d;if(0===a.length)0!==h.length&&sre.AudioUtil.LastOpen_.push(h);else if(0!==h.length)for(c.close=c.close.concat(h),c.open=c.open.concat(h),d=0;e=h[d];d++)c[e]=b[e]}sre.AudioUtil.LastOpen_.push(c.open)}return c};sre.AudioRenderer=function(){};sre.AudioRenderer.prototype.setSeparator=function(a){};sre.AudioRenderer.prototype.getSeparator=function(){};sre.AudioRenderer.prototype.markup=function(a){};sre.AudioRenderer.prototype.error=function(a){};sre.AudioRenderer.prototype.merge=function(a){};sre.AudioRenderer.prototype.finalize=function(a){};sre.AbstractAudioRenderer=function(){this.separator_=" "};sre.AbstractAudioRenderer.prototype.setSeparator=function(a){this.separator_=a};sre.AbstractAudioRenderer.prototype.getSeparator=function(){return this.separator_};sre.AbstractAudioRenderer.prototype.markup=goog.abstractMethod;sre.AbstractAudioRenderer.prototype.error=function(a){return null};sre.AbstractAudioRenderer.prototype.merge=function(a){return a.map(function(b){return b.string}).join(this.getSeparator())};
+sre.AbstractAudioRenderer.prototype.finalize=function(a){return a};sre.AbstractAudioRenderer.prototype.pauseValue=function(a){switch(a){case "long":a=750;break;case "medium":a=500;break;case "short":a=250;break;default:a=parseInt(a,10)}return Math.floor(a*parseInt(sre.Engine.getInstance().getRate(),10)/100)};sre.MarkupRenderer=function(){sre.AbstractAudioRenderer.call(this);this.scaleFunction_=null};goog.inherits(sre.MarkupRenderer,sre.AbstractAudioRenderer);sre.MarkupRenderer.prototype.setScaleFunction=function(a,b,c,d,e){var f=e||0;this.scaleFunction_=function(g){g=(g-a)/(b-a);return+(Math.round(c*(1-g)+d*g+"e+"+f)+"e-"+f)}};sre.MarkupRenderer.prototype.applyScaleFunction=function(a){return this.scaleFunction_?this.scaleFunction_(a):a};sre.MarkupRenderer.prototype.pause=goog.abstractMethod;
+sre.MarkupRenderer.prototype.prosodyElement=goog.abstractMethod;sre.AcssRenderer=function(){sre.MarkupRenderer.call(this)};goog.inherits(sre.AcssRenderer,sre.MarkupRenderer);
+sre.AcssRenderer.prototype.markup=function(a){this.setScaleFunction(-2,2,0,10,0);a=sre.AudioUtil.personalityMarkup(a);for(var b=[],c={open:[]},d=null,e=!1,f=0,g;g=a[f];f++)if(sre.AudioUtil.isMarkupElement(g))sre.AudioUtil.mergeMarkup(c,g);else if(sre.AudioUtil.isPauseElement(g))e&&(d=sre.AudioUtil.mergePause(d,g,Math.max));else{g='"'+this.merge(g.span)+'"';e=!0;d&&(b.push(this.pause(d)),d=null);var h=this.prosody_(c);b.push(h?"(text ("+h+") "+g+")":g)}return"(exp "+b.join(" ")+")"};
+sre.AcssRenderer.prototype.error=function(a){return'(error "'+sre.EventUtil.Move[a.toString()]+'")'};sre.AcssRenderer.prototype.prosody_=function(a){for(var b=a.open,c=[],d=0,e;e=b[d];d++)c.push(this.prosodyElement(e,a[e]));return c.join(" ")};
+sre.AcssRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);switch(a){case sre.Engine.personalityProps.RATE:return"(richness . "+b+")";case sre.Engine.personalityProps.PITCH:return"(average-pitch . "+b+")";case sre.Engine.personalityProps.VOLUME:return"(stress . "+b+")"}return"(value . "+b+")"};sre.AcssRenderer.prototype.pause=function(a){return"(pause . "+this.pauseValue(a[sre.Engine.personalityProps.PAUSE])+")"};sre.PunctuationRenderer=function(){sre.AbstractAudioRenderer.call(this)};goog.inherits(sre.PunctuationRenderer,sre.AbstractAudioRenderer);
+sre.PunctuationRenderer.prototype.markup=function(a){a=sre.AudioUtil.personalityMarkup(a);for(var b="",c=null,d=!1,e=0,f;f=a[e];e++)sre.AudioUtil.isMarkupElement(f)||(sre.AudioUtil.isPauseElement(f)?d&&(c=sre.AudioUtil.mergePause(c,f,Math.max)):(c&&(b+=this.pause(c[sre.Engine.personalityProps.PAUSE]),c=null),b+=(d?this.getSeparator():"")+this.merge(f.span),d=!0));return b};sre.PunctuationRenderer.PAUSE_PUNCTUATION_={"short":",",medium:";","long":"."};
+sre.PunctuationRenderer.prototype.pause=function(a){return sre.PunctuationRenderer.PAUSE_PUNCTUATION_["number"===typeof a?250>=a?"short":500>=a?"medium":"long":a]||""};sre.XmlRenderer=function(){sre.MarkupRenderer.call(this)};goog.inherits(sre.XmlRenderer,sre.MarkupRenderer);
+sre.XmlRenderer.prototype.markup=function(a){this.setScaleFunction(-2,2,-100,100,2);a=sre.AudioUtil.personalityMarkup(a);for(var b=[],c=[],d=0,e;e=a[d];d++)if(e.span)b.push(this.merge(e.span));else if(sre.AudioUtil.isPauseElement(e))b.push(this.pause(e));else{if(e.close.length)for(var f=0;f<e.close.length;f++){var g=c.pop();if(-1===e.close.indexOf(g))throw new sre.Engine.Error("Unknown closing markup element: "+g);b.push(this.closeTag(g))}e.open.length&&sre.AudioUtil.sortClose(e.open.slice(),a.slice(d+
+1)).forEach(goog.bind(function(h){b.push(this.prosodyElement(h,e[h]));c.push(h)},this))}return b.join(" ")};sre.XmlRenderer.prototype.closeTag=goog.abstractMethod;sre.SableRenderer=function(){sre.XmlRenderer.call(this)};goog.inherits(sre.SableRenderer,sre.XmlRenderer);sre.SableRenderer.prototype.finalize=function(a){return'<?xml version="1.0"?><!DOCTYPE SABLE PUBLIC "-//SABLE//DTD SABLE speech mark up//EN" "Sable.v0_2.dtd" []><SABLE>'+this.getSeparator()+a+this.getSeparator()+"</SABLE>"};sre.SableRenderer.prototype.pause=function(a){return'<BREAK MSEC="'+this.pauseValue(a[sre.Engine.personalityProps.PAUSE])+'"/>'};
+sre.SableRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);switch(a){case sre.Engine.personalityProps.PITCH:return'<PITCH RANGE="'+b+'%">';case sre.Engine.personalityProps.RATE:return'<RATE SPEED="'+b+'%">';case sre.Engine.personalityProps.VOLUME:return'<VOLUME LEVEL="'+b+'%">';default:return"<"+a.toUpperCase()+' VALUE="'+b+'">'}};sre.SableRenderer.prototype.closeTag=function(a){return"</"+a.toUpperCase()+">"};sre.SsmlRenderer=function(){sre.XmlRenderer.call(this)};goog.inherits(sre.SsmlRenderer,sre.XmlRenderer);sre.SsmlRenderer.prototype.finalize=function(a){return'<?xml version="1.0"?><speak version="1.1" xmlns="http://www.w3.org/2001/10/synthesis"><prosody rate="'+sre.Engine.getInstance().getRate()+'%">'+this.getSeparator()+a+this.getSeparator()+"</prosody></speak>"};sre.SsmlRenderer.prototype.pause=function(a){return'<break time="'+this.pauseValue(a[sre.Engine.personalityProps.PAUSE])+'ms"/>'};
+sre.SsmlRenderer.prototype.prosodyElement=function(a,b){b=Math.floor(this.applyScaleFunction(b));b=0>b?b.toString():"+"+b.toString();return"<prosody "+a.toLowerCase()+'="'+b+(a===sre.Engine.personalityProps.VOLUME?">":'%">')};sre.SsmlRenderer.prototype.closeTag=function(a){return"</prosody>"};sre.SsmlStepRenderer=function(){sre.SsmlRenderer.call(this)};goog.inherits(sre.SsmlStepRenderer,sre.SsmlRenderer);sre.SsmlStepRenderer.prototype.markup=function(a){sre.SsmlStepRenderer.MARKS={};return sre.SsmlStepRenderer.superClass_.markup.call(this,a)};sre.SsmlStepRenderer.CHARACTER_ATTR_="character";sre.SsmlStepRenderer.MARKS={};
+sre.SsmlStepRenderer.prototype.merge=function(a){for(var b=[],c=0;c<a.length;c++){var d=a[c],e=d.attributes.extid;e&&!sre.SsmlStepRenderer.MARKS[e]&&(b.push('<mark name="'+e+'"/>'),sre.SsmlStepRenderer.MARKS[e]=!0);1===d.string.length&&d.string.match(/[a-zA-Z]/)?b.push('<say-as interpret-as="'+sre.SsmlStepRenderer.CHARACTER_ATTR_+'">'+d.string+"</say-as>"):b.push(d.string)}return b.join(this.getSeparator())};sre.StringRenderer=function(){sre.AbstractAudioRenderer.call(this)};goog.inherits(sre.StringRenderer,sre.AbstractAudioRenderer);sre.StringRenderer.prototype.markup=function(a){var b="";a=a.filter(function(g){return g.descriptionString()});if(!a.length)return b;for(var c=0;c<a.length-1;c++){var d=a[c],e=d.personality[sre.Engine.personalityProps.JOIN],f="nemeth"===sre.Engine.getInstance().locale?"":this.getSeparator();e="undefined"===typeof e?f:e;b+=d.descriptionString()+e}return b+=a[c].descriptionString()};sre.AuralRendering=function(){};goog.addSingletonGetter(sre.AuralRendering);sre.AuralRendering.prototype.setSeparator=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];b&&b.setSeparator(a)};sre.AuralRendering.prototype.getSeparator=function(){var a=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return a?a.getSeparator():""};
+sre.AuralRendering.prototype.markup=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.markup(a):""};sre.AuralRendering.prototype.merge=function(a){var b=a.map(function(d){return{string:d,attributes:{}}}),c=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return c?c.merge(b):a.join()};
+sre.AuralRendering.prototype.finalize=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.finalize(a):a};sre.AuralRendering.prototype.error=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.error(a):""};sre.AuralRendering.registerRenderer=function(a,b){sre.AuralRendering.rendererMapping_[a]=b};
+sre.AuralRendering.ofType=function(a){return sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup]instanceof a};sre.AuralRendering.rendererMapping_={};sre.AuralRendering.registerRenderer(sre.Engine.Markup.NONE,new sre.StringRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.PUNCTUATION,new sre.PunctuationRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.ACSS,new sre.AcssRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.SABLE,new sre.SableRenderer);
+sre.AuralRendering.xmlInstance=new sre.SsmlRenderer;sre.AuralRendering.registerRenderer(sre.Engine.Markup.VOICEXML,sre.AuralRendering.xmlInstance);sre.AuralRendering.registerRenderer(sre.Engine.Markup.SSML,sre.AuralRendering.xmlInstance);sre.AuralRendering.registerRenderer(sre.Engine.Markup.SSML_STEP,new sre.SsmlStepRenderer);sre.WalkerUtil={};sre.WalkerUtil.splitAttribute=function(a){return a?a.split(/,/):[]};sre.WalkerUtil.getAttribute=function(a,b){return sre.DomUtil.getDataAttribute(a,b)};sre.WalkerUtil.getSemanticRoot=function(a){if(a.hasAttribute(sre.EnrichMathml.Attribute.TYPE)&&!a.hasAttribute(sre.EnrichMathml.Attribute.PARENT))return a;for(var b=sre.DomUtil.querySelectorAllByAttr(a,sre.EnrichMathml.Attribute.TYPE),c=0,d;d=b[c];c++)if(!d.hasAttribute(sre.EnrichMathml.Attribute.PARENT))return d;return a};
+sre.WalkerUtil.getBySemanticId=function(a,b){return a.getAttribute(sre.EnrichMathml.Attribute.ID)===b?a:sre.DomUtil.querySelectorAllByAttrValue(a,sre.EnrichMathml.Attribute.ID,b)[0]};sre.RebuildStree=function(a){this.factory=new sre.SemanticNodeFactory;this.nodeDict={};this.mathml=a;this.mmlRoot=sre.WalkerUtil.getSemanticRoot(a);this.streeRoot=this.assembleTree(this.mmlRoot);this.stree=sre.SemanticTree.fromNode(this.streeRoot,this.mathml);this.xml=this.stree.xml();sre.SemanticProcessor.getInstance().setNodeFactory(this.factory)};sre.RebuildStree.prototype.getTree=function(){return this.stree};
+sre.RebuildStree.prototype.assembleTree=function(a){var b=this.makeNode(a),c=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CHILDREN)),d=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CONTENT));if(0===d.length&&0===c.length)return b.textContent=a.textContent,b;if(0<d.length){var e=sre.WalkerUtil.getBySemanticId(a,d[0]);e&&(e=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(e,sre.EnrichMathml.Attribute.OPERATOR)),
+1<e.length&&(b.textContent=e[1]))}e=function(f){f=sre.WalkerUtil.getBySemanticId(a,f);f=this.assembleTree(f);f.parent=b;return f};b.contentNodes=d.map(goog.bind(e,this));b.childNodes=c.map(goog.bind(e,this));return(c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.COLLAPSED))?this.postProcess(b,c):b};
+sre.RebuildStree.prototype.makeNode=function(a){var b=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.TYPE),c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ROLE),d=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.FONT),e=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ANNOTATION)||"",f=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ID),g=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.EMBELLISHED);a=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.FENCEPOINTER);
+f=this.createNode(parseInt(f,10));f.type=b;f.role=c;f.font=d?d:sre.SemanticAttr.Font.UNKNOWN;f.parseAnnotation(e);a&&(f.fencePointer=a);g&&(f.embellished=g);return f};sre.RebuildStree.isPunctuated=function(a){return!sre.SemanticSkeleton.simpleCollapseStructure(a)&&a[1]&&sre.SemanticSkeleton.contentCollapseStructure(a[1])};sre.RebuildStree.prototype.makePunctuation=function(a){a=this.createNode(a);a.updateContent(sre.SemanticAttr.invisibleComma());a.role=sre.SemanticAttr.Role.DUMMY;return a};
+sre.RebuildStree.prototype.makePunctuated=function(a,b,c){var d=this.createNode(b[0]);d.type=sre.SemanticAttr.Type.PUNCTUATED;d.embellished=a.embellished;d.fencePointer=a.fencePointer;d.role=c;a=b.splice(1,1)[0].slice(1);d.contentNodes=a.map(goog.bind(this.makePunctuation,this));this.collapsedChildren_(b)};sre.RebuildStree.prototype.makeEmpty=function(a,b,c){b=this.createNode(b);b.type=sre.SemanticAttr.Type.EMPTY;b.embellished=a.embellished;b.fencePointer=a.fencePointer;b.role=c};
+sre.RebuildStree.prototype.makeIndex=function(a,b,c){sre.RebuildStree.isPunctuated(b)?this.makePunctuated(a,b,c):sre.SemanticSkeleton.simpleCollapseStructure(b)&&!this.nodeDict[b.toString()]&&this.makeEmpty(a,b,c)};
+sre.RebuildStree.prototype.postProcess=function(a,b){b=sre.SemanticSkeleton.fromString(b).array;if(a.type===sre.SemanticAttr.Role.SUBSUP){var c=this.createNode(b[1][0]);c.type=sre.SemanticAttr.Type.SUBSCRIPT;c.role=sre.SemanticAttr.Role.SUBSUP;a.type=sre.SemanticAttr.Type.SUPERSCRIPT;c.embellished=a.embellished;c.fencePointer=a.fencePointer;this.makeIndex(a,b[1][2],sre.SemanticAttr.Role.RIGHTSUB);this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUPER);this.collapsedChildren_(b);return a}if(a.type===
+sre.SemanticAttr.Type.SUBSCRIPT)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUB),this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.SUPERSCRIPT)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUPER),this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.TENSOR)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.LEFTSUB),this.makeIndex(a,b[3],sre.SemanticAttr.Role.LEFTSUPER),this.makeIndex(a,b[4],sre.SemanticAttr.Role.RIGHTSUB),this.makeIndex(a,b[5],sre.SemanticAttr.Role.RIGHTSUPER),
+this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.PUNCTUATED)return sre.RebuildStree.isPunctuated(b)&&(b=b.splice(1,1)[0].slice(1),a.contentNodes=b.map(goog.bind(this.makePunctuation,this))),a;a.type===sre.SemanticAttr.Role.UNDEROVER&&(c=this.createNode(b[1][0]),a.childNodes[1].role===sre.SemanticAttr.Role.OVERACCENT?(c.type=sre.SemanticAttr.Type.OVERSCORE,a.type=sre.SemanticAttr.Type.UNDERSCORE):(c.type=sre.SemanticAttr.Type.UNDERSCORE,a.type=sre.SemanticAttr.Type.OVERSCORE),c.role=
+sre.SemanticAttr.Role.UNDEROVER,c.embellished=a.embellished,c.fencePointer=a.fencePointer,this.collapsedChildren_(b));return a};sre.RebuildStree.prototype.createNode=function(a){var b=this.factory.makeNode(a);return this.nodeDict[a.toString()]=b};
+sre.RebuildStree.prototype.collapsedChildren_=function(a){var b=goog.bind(function(c){var d=this.nodeDict[c[0]];d.childNodes=[];for(var e=1,f=c.length;e<f;e++){var g=c[e];d.childNodes.push(sre.SemanticSkeleton.simpleCollapseStructure(g)?this.nodeDict[g]:b(g))}return d},this);b(a)};sre.SpeechGenerator=function(){};sre.SpeechGenerator.prototype.getSpeech=function(a,b){};sre.SpeechGenerator.prototype.getRebuilt=function(){};sre.SpeechGenerator.prototype.setRebuilt=function(a){};sre.SpeechGenerator.prototype.setOptions=function(a){};sre.SpeechGenerator.prototype.getOptions=function(){};sre.SpeechGenerator.prototype.start=function(){};sre.SpeechGenerator.prototype.end=function(){};sre.AuditoryDescription=function(a){this.context=a.context||"";this.text=a.text||"";this.userValue=a.userValue||"";this.annotation=a.annotation||"";this.attributes=a.attributes||{};this.personality=a.personality||{}};sre.AuditoryDescription.create=function(a,b){a.text=sre.Grammar.getInstance().apply(a.text,b||{});return new sre.AuditoryDescription(a)};sre.AuditoryDescription.prototype.isEmpty=function(){return 0==this.context.length&&0==this.text.length&&0==this.userValue.length&&0==this.annotation.length};
+sre.AuditoryDescription.prototype.clone=function(){if(this.personality){var a={};for(var b in this.personality)a=this.personality[b]}if(this.attributes){var c={};for(b in this.attributes)c=this.attributes[b]}return new sre.AuditoryDescription({context:this.context,text:this.text,userValue:this.userValue,annotation:this.annotation,personality:a,attributes:c})};
+sre.AuditoryDescription.prototype.toString=function(){return'AuditoryDescription(context="'+this.context+'"  text="'+this.text+'"  userValue="'+this.userValue+'"  annotation="'+this.annotation+'")'};sre.AuditoryDescription.prototype.descriptionString=function(){return this.context&&this.text?this.context+" "+this.text:this.context||this.text};sre.AuditoryDescription.prototype.descriptionSpan=function(){return new sre.Span(this.descriptionString(),this.attributes)};
+sre.AuditoryDescription.prototype.equals=function(a){return this.context==a.context&&this.text==a.text&&this.userValue==a.userValue&&this.annotation==a.annotation};sre.SpeechRule=function(a,b,c,d){this.name=a;this.dynamicCstr=b;this.precondition=c;this.action=d;this.context=null};sre.SpeechRule.prototype.toString=function(){return this.name+" | "+this.dynamicCstr.toString()+" | "+this.precondition.toString()+" ==> "+this.action.toString()};sre.SpeechRule.Type={NODE:"NODE",MULTI:"MULTI",TEXT:"TEXT",PERSONALITY:"PERSONALITY"};
 sre.SpeechRule.Type.fromString=function(a){switch(a){case "[n]":return sre.SpeechRule.Type.NODE;case "[m]":return sre.SpeechRule.Type.MULTI;case "[t]":return sre.SpeechRule.Type.TEXT;case "[p]":return sre.SpeechRule.Type.PERSONALITY;default:throw"Parse error: "+a;}};
 sre.SpeechRule.Type.toString=function(a){switch(a){case sre.SpeechRule.Type.NODE:return"[n]";case sre.SpeechRule.Type.MULTI:return"[m]";case sre.SpeechRule.Type.TEXT:return"[t]";case sre.SpeechRule.Type.PERSONALITY:return"[p]";default:throw"Unknown type error: "+a;}};sre.SpeechRule.Component=function(a){this.type=a.type;this.content=a.content;this.attributes=a.attributes;this.grammar=a.grammar};
 sre.SpeechRule.Component.fromString=function(a){var b={};b.type=sre.SpeechRule.Type.fromString(a.substring(0,3));a=a.slice(3).trim();if(!a)throw new sre.SpeechRule.OutputError("Missing content.");switch(b.type){case sre.SpeechRule.Type.TEXT:if('"'==a[0]){var c=sre.SpeechRule.splitString_(a,"\\(")[0].trim();if('"'!=c.slice(-1))throw new sre.SpeechRule.OutputError("Invalid string syntax.");b.content=c;a=a.slice(c.length).trim();-1==a.indexOf("(")&&(a="");break}case sre.SpeechRule.Type.NODE:case sre.SpeechRule.Type.MULTI:c=
@@ -461,525 +624,1008 @@ a.indexOf(" ("),-1==c?(b.content=a.trim(),a=""):(b.content=a.substring(0,c).trim
 sre.SpeechRule.Component.grammarFromString=function(a){return sre.Grammar.parseInput(a)};sre.SpeechRule.Component.prototype.grammarToString=function(){return this.getGrammar().join(":")};sre.SpeechRule.Component.prototype.getGrammar=function(){var a=[],b;for(b in this.grammar)!0===this.grammar[b]?a.push(b):!1===this.grammar[b]?a.push("!"+b):a.push(b+"="+this.grammar[b]);return a};
 sre.SpeechRule.Component.attributesFromString=function(a){if("("!=a[0]||")"!=a.slice(-1))throw new sre.SpeechRule.OutputError("Invalid attribute expression: "+a);var b={};a=sre.SpeechRule.splitString_(a.slice(1,-1),",");for(var c=0,d=a.length;c<d;c++){var e=a[c],f=e.indexOf(":");if(-1==f)b[e.trim()]="true";else{var g=e.substring(0,f).trim();e=e.slice(f+1).trim();b[g]="grammar"===g?sre.SpeechRule.Component.grammarFromString(e):b[g]=e}}return b};
 sre.SpeechRule.Component.prototype.attributesToString=function(){var a=this.getAttributes(),b=this.grammarToString();b&&a.push("grammar:"+b);return 0<a.length?"("+a.join(", ")+")":""};sre.SpeechRule.Component.prototype.getAttributes=function(){var a=[],b;for(b in this.attributes){var c=this.attributes[b];"true"===c?a.push(b):a.push(b+":"+c)}return a};sre.SpeechRule.Action=function(a){this.components=a};
-sre.SpeechRule.Action.fromString=function(a){a=sre.SpeechRule.splitString_(a,";").filter(function(a){return a.match(/\S/)}).map(function(a){return a.trim()});for(var b=[],c=0,d=a.length;c<d;c++){var e=sre.SpeechRule.Component.fromString(a[c]);e&&b.push(e)}return new sre.SpeechRule.Action(b)};sre.SpeechRule.Action.prototype.toString=function(){return this.components.map(function(a){return a.toString()}).join("; ")};sre.SpeechRule.Precondition=function(a,b){this.query=a;this.constraints=b||[]};
+sre.SpeechRule.Action.fromString=function(a){a=sre.SpeechRule.splitString_(a,";").filter(function(f){return f.match(/\S/)}).map(function(f){return f.trim()});for(var b=[],c=0,d=a.length;c<d;c++){var e=sre.SpeechRule.Component.fromString(a[c]);e&&b.push(e)}return new sre.SpeechRule.Action(b)};sre.SpeechRule.Action.prototype.toString=function(){return this.components.map(function(a){return a.toString()}).join("; ")};sre.SpeechRule.Precondition=function(a,b){this.query=a;this.constraints=b||[]};
 sre.SpeechRule.Precondition.prototype.toString=function(){var a=this.constraints.join(", ");return this.query+", "+a};
 sre.SpeechRule.splitString_=function(a,b){for(var c=[],d="";""!=a;){var e=a.search(b);if(-1==e){if(0!=(a.match(/"/g)||[]).length%2)throw new sre.SpeechRule.OutputError("Invalid string in expression: "+a);c.push(d+a);a=d=""}else if(0==(a.substring(0,e).match(/"/g)||[]).length%2)c.push(d+a.substring(0,e)),d="",a=a.substring(e+1);else{var f=a.substring(e).search('"');if(-1==f)throw new sre.SpeechRule.OutputError("Invalid string in expression: "+a);d+=a.substring(0,e+f+1);a=a.substring(e+f+1)}}d&&c.push(d);
-return c};sre.SpeechRule.OutputError=function(a){Error.call(this);this.message=a||"";this.name="RuleError"};goog.inherits(sre.SpeechRule.OutputError,Error);sre.SpeechRuleEvaluator=function(){};sre.SpeechRuleEvaluator.prototype.evaluateDefault=goog.abstractMethod;sre.SpeechRuleFunctions=function(){};sre.SpeechRuleFunctions.Store_=function(a,b){this.prefix_=a;this.store_=b};sre.SpeechRuleFunctions.Store_.prototype.add=function(a,b){this.checkCustomFunctionSyntax_(a)&&(this.store_[a]=b)};sre.SpeechRuleFunctions.Store_.prototype.addStore=function(a){for(var b=Object.keys(a.store_),c=0,d;d=b[c];c++)this.add(d,a.store_[d])};sre.SpeechRuleFunctions.Store_.prototype.lookup=function(a){return this.store_[a]};
+return c};sre.SpeechRule.OutputError=function(a){sre.Engine.Error.call(this,a);this.name="RuleError"};goog.inherits(sre.SpeechRule.OutputError,sre.Engine.Error);sre.SpeechRuleFunctions=function(){};sre.SpeechRuleFunctions.Store_=function(a,b){this.prefix_=a;this.store_=b};sre.SpeechRuleFunctions.Store_.prototype.add=function(a,b){this.checkCustomFunctionSyntax_(a)&&(this.store_[a]=b)};sre.SpeechRuleFunctions.Store_.prototype.addStore=function(a){for(var b=Object.keys(a.store_),c=0,d;d=b[c];c++)this.add(d,a.store_[d])};sre.SpeechRuleFunctions.Store_.prototype.lookup=function(a){return this.store_[a]};
 sre.SpeechRuleFunctions.CustomQueries=function(){sre.SpeechRuleFunctions.Store_.call(this,"CQF",{})};goog.inherits(sre.SpeechRuleFunctions.CustomQueries,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.CustomStrings=function(){sre.SpeechRuleFunctions.Store_.call(this,"CSF",{})};goog.inherits(sre.SpeechRuleFunctions.CustomStrings,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.ContextFunctions=function(){sre.SpeechRuleFunctions.Store_.call(this,"CTXF",{})};
-goog.inherits(sre.SpeechRuleFunctions.ContextFunctions,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.Store_.prototype.checkCustomFunctionSyntax_=function(a){return a.match(new RegExp("^"+this.prefix_))?!0:(console.log("FunctionError: Invalid function name. Expected prefix "+this.prefix_),!1)};sre.SpeechRuleStore=function(){};sre.SpeechRuleStore.prototype.addRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.deleteRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.findRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.findAllRules=goog.abstractMethod;sre.SpeechRuleStore.prototype.lookupRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.defineRule=goog.abstractMethod;sre.TrieNode=function(){};sre.TrieNode.prototype.getConstraint=function(){};sre.TrieNode.prototype.getKind=function(){};sre.TrieNode.prototype.applyTest=function(a){};sre.TrieNode.prototype.addChild=function(a){};sre.TrieNode.prototype.getChild=function(a){};sre.TrieNode.prototype.getChildren=function(){};sre.TrieNode.prototype.findChildren=function(a){};sre.TrieNode.Kind={ROOT:"root",DYNAMIC:"dynamic",QUERY:"query",BOOLEAN:"boolean",STATIC:"static"};sre.AbstractTrieNode=function(a,b){this.constraint=a;this.test=b;this.children_={};this.kind=sre.TrieNode.Kind.ROOT};sre.AbstractTrieNode.prototype.getConstraint=function(){return this.constraint};sre.AbstractTrieNode.prototype.getKind=function(){return this.kind};sre.AbstractTrieNode.prototype.applyTest=function(a){return this.test(a)};sre.AbstractTrieNode.prototype.addChild=function(a){var b=a.getConstraint(),c=this.children_[b];this.children_[b]=a;return c};
+goog.inherits(sre.SpeechRuleFunctions.ContextFunctions,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.Store_.prototype.checkCustomFunctionSyntax_=function(a){return a.match(new RegExp("^"+this.prefix_))?!0:(console.error("FunctionError: Invalid function name. Expected prefix "+this.prefix_),!1)};sre.SpeechRuleContext=function(){this.customQueries=new sre.SpeechRuleFunctions.CustomQueries;this.customStrings=new sre.SpeechRuleFunctions.CustomStrings;this.contextFunctions=new sre.SpeechRuleFunctions.ContextFunctions};sre.SpeechRuleContext.prototype.applyCustomQuery=function(a,b){return(b=this.customQueries.lookup(b))?b(a):null};sre.SpeechRuleContext.prototype.applySelector=function(a,b){return this.applyCustomQuery(a,b)||sre.XpathUtil.evalXPath(b,a)};
+sre.SpeechRuleContext.prototype.applyQuery=function(a,b){a=this.applySelector(a,b);return 0<a.length?a[0]:null};sre.SpeechRuleContext.prototype.applyConstraint=function(a,b){return!!this.applyQuery(a,b)||sre.XpathUtil.evaluateBoolean(b,a)};sre.SpeechRuleContext.prototype.constructString=function(a,b){if(!b)return"";if('"'==b.charAt(0))return b.slice(1,-1);var c=this.customStrings.lookup(b);return c?c(a):sre.XpathUtil.evaluateString(b,a)};
+sre.SpeechRuleContext.prototype.parse=function(a){for(var b=0,c;c=a[b];b++)({CQF:this.customQueries,CSF:this.customStrings,CTXF:this.contextFunctions})[c[0]].add(c[1],c[2])};sre.SpeechRuleEvaluator=function(){};sre.SpeechRuleEvaluator.prototype.evaluateDefault=goog.abstractMethod;sre.SpeechRuleStore=function(){};sre.SpeechRuleStore.prototype.addRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.deleteRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.findRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.findAllRules=goog.abstractMethod;sre.SpeechRuleStore.prototype.lookupRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.defineRule=goog.abstractMethod;sre.TrieNode=function(){};sre.TrieNode.prototype.getConstraint=function(){};sre.TrieNode.prototype.getKind=function(){};sre.TrieNode.prototype.applyTest=function(a){};sre.TrieNode.prototype.addChild=function(a){};sre.TrieNode.prototype.getChild=function(a){};sre.TrieNode.prototype.getChildren=function(){};sre.TrieNode.prototype.findChildren=function(a){};sre.TrieNode.Kind={ROOT:"root",DYNAMIC:"dynamic",QUERY:"query",BOOLEAN:"boolean",STATIC:"static"};sre.AbstractTrieNode=function(a,b){this.constraint=a;this.test=b;this.children_={};this.kind=sre.TrieNode.Kind.ROOT};sre.AbstractTrieNode.prototype.getConstraint=function(){return this.constraint};sre.AbstractTrieNode.prototype.getKind=function(){return this.kind};sre.AbstractTrieNode.prototype.applyTest=function(a){return this.test(a)};sre.AbstractTrieNode.prototype.addChild=function(a){var b=a.getConstraint(),c=this.children_[b];this.children_[b]=a;return c};
 sre.AbstractTrieNode.prototype.getChild=function(a){return this.children_[a]};sre.AbstractTrieNode.prototype.getChildren=function(){var a=[],b;for(b in this.children_)a.push(this.children_[b]);return a};sre.AbstractTrieNode.prototype.findChildren=function(a){var b=[],c;for(c in this.children_){var d=this.children_[c];d.applyTest(a)&&b.push(d)}return b};sre.AbstractTrieNode.prototype.toString=function(){return this.constraint};
 sre.StaticTrieNode=function(a,b){sre.AbstractTrieNode.call(this,a,b);this.kind=sre.TrieNode.Kind.STATIC;this.rule_=null};goog.inherits(sre.StaticTrieNode,sre.AbstractTrieNode);sre.StaticTrieNode.prototype.getRule=function(){return this.rule_};sre.StaticTrieNode.prototype.setRule=function(a){this.rule_&&sre.Debugger.getInstance().output("Replacing rule "+this.rule_+" with "+a);this.rule_=a};
 sre.StaticTrieNode.prototype.toString=function(){return this.getRule()?this.constraint+"\n==> "+this.getRule().action:this.constraint};sre.TrieNodeFactory={};sre.TrieNodeFactory.getNode=function(a,b,c){switch(a){case sre.TrieNode.Kind.ROOT:return new sre.RootTrieNode;case sre.TrieNode.Kind.DYNAMIC:return new sre.DynamicTrieNode(b);case sre.TrieNode.Kind.QUERY:return new sre.QueryTrieNode(b,c);case sre.TrieNode.Kind.BOOLEAN:return new sre.BooleanTrieNode(b,c);default:return null}};sre.RootTrieNode=function(){sre.AbstractTrieNode.call(this,"",function(){return!0});this.kind=sre.TrieNode.Kind.ROOT};goog.inherits(sre.RootTrieNode,sre.AbstractTrieNode);
 sre.DynamicTrieNode=function(a){sre.AbstractTrieNode.call(this,a,function(b){return b===a});this.kind=sre.TrieNode.Kind.DYNAMIC};goog.inherits(sre.DynamicTrieNode,sre.AbstractTrieNode);
-sre.TrieNodeFactory.constraintTest_=function(a){if(a.match(/^self::\*$/))return function(a){return!0};if(a.match(/^self::\w+$/)){var b=a.slice(6).toUpperCase();return function(a){return a.tagName&&sre.DomUtil.tagName(a)===b}}if(a.match(/^self::\w+:\w+$/)){a=a.split(":");var c=sre.XpathUtil.resolveNameSpace(a[2]);if(!c)return null;b=a[3].toUpperCase();return function(a){return a.localName&&a.localName.toUpperCase()===b&&a.namespaceURI===c}}if(a.match(/^@\w+$/)){var d=a.slice(1);return function(a){return a.hasAttribute&&
-a.hasAttribute(d)}}if(a.match(/^@\w+="[\w\d ]+"$/)){a=a.split("=");d=a[0].slice(1);var e=a[1].slice(1,-1);return function(a){return a.hasAttribute&&a.hasAttribute(d)&&a.getAttribute(d)===e}}return a.match(/^@\w+!="[\w\d ]+"$/)?(a=a.split("!="),d=a[0].slice(1),e=a[1].slice(1,-1),function(a){return!a.hasAttribute||!a.hasAttribute(d)||a.getAttribute(d)!==e}):a.match(/^contains\(\s*@grammar\s*,\s*"[\w\d ]+"\s*\)$/)?(a=a.split('"'),e=a[1],function(a){return sre.Grammar.getInstance().getParameter(e)}):
-a.match(/^not\(\s*contains\(\s*@grammar\s*,\s*"[\w\d ]+"\s*\)\s*\)$/)?(a=a.split('"'),e=a[1],function(a){return!sre.Grammar.getInstance().getParameter(e)}):null};sre.QueryTrieNode=function(a,b){this.store_=b;sre.StaticTrieNode.call(this,a,sre.TrieNodeFactory.constraintTest_(a));this.kind=sre.TrieNode.Kind.QUERY};goog.inherits(sre.QueryTrieNode,sre.StaticTrieNode);sre.QueryTrieNode.prototype.applyTest=function(a){return this.test?this.test(a):this.store_.applyQuery(a,this.constraint)===a};
-sre.BooleanTrieNode=function(a,b){this.store_=b;sre.StaticTrieNode.call(this,a,sre.TrieNodeFactory.constraintTest_(a));this.kind=sre.TrieNode.Kind.BOOLEAN};goog.inherits(sre.BooleanTrieNode,sre.StaticTrieNode);sre.BooleanTrieNode.prototype.applyTest=function(a){return this.test?this.test(a):this.store_.applyConstraint(a,this.constraint)};sre.Trie=function(a){this.store=a;this.root=sre.TrieNodeFactory.getNode(sre.TrieNode.Kind.ROOT,"",this.store)};sre.Trie.prototype.addRule=function(a){for(var b=this.root,c=a.dynamicCstr.getValues(),d=0,e=c.length;d<e;d++)b=this.addNode_(b,c[d],sre.TrieNode.Kind.DYNAMIC);b=this.addNode_(b,a.precondition.query,sre.TrieNode.Kind.QUERY);c=a.precondition.constraints;d=0;for(e=c.length;d<e;d++)b=this.addNode_(b,c[d],sre.TrieNode.Kind.BOOLEAN);b.setRule(a)};
-sre.Trie.prototype.addNode_=function(a,b,c){var d=a.getChild(b);d||(d=sre.TrieNodeFactory.getNode(c,b,this.store),a.addChild(d));return d};
-sre.Trie.prototype.lookupRules=function(a,b){for(var c=[this.root],d=[];b.length;){for(var e=b.shift(),f=[];c.length;){var g=c.shift();g=g.getChildren();g.forEach(function(a){a.getKind()===sre.TrieNode.Kind.DYNAMIC&&-1===e.indexOf(a.getConstraint())||f.push(a)})}c=f.slice()}for(;c.length;)g=c.shift(),g.getRule&&(b=g.getRule())&&d.push(b),g=g.findChildren(a),c=c.concat(g);return d};
+sre.TrieNodeFactory.constraintTest_=function(a){if(a.match(/^self::\*$/))return function(f){return!0};if(a.match(/^self::\w+$/)){var b=a.slice(6).toUpperCase();return function(f){return f.tagName&&sre.DomUtil.tagName(f)===b}}if(a.match(/^self::\w+:\w+$/)){a=a.split(":");var c=sre.XpathUtil.resolveNameSpace(a[2]);if(!c)return null;b=a[3].toUpperCase();return function(f){return f.localName&&f.localName.toUpperCase()===b&&f.namespaceURI===c}}if(a.match(/^@\w+$/)){var d=a.slice(1);return function(f){return f.hasAttribute&&
+f.hasAttribute(d)}}if(a.match(/^@\w+="[\w\d ]+"$/)){a=a.split("=");d=a[0].slice(1);var e=a[1].slice(1,-1);return function(f){return f.hasAttribute&&f.hasAttribute(d)&&f.getAttribute(d)===e}}return a.match(/^@\w+!="[\w\d ]+"$/)?(a=a.split("!="),d=a[0].slice(1),e=a[1].slice(1,-1),function(f){return!f.hasAttribute||!f.hasAttribute(d)||f.getAttribute(d)!==e}):a.match(/^contains\(\s*@grammar\s*,\s*"[\w\d ]+"\s*\)$/)?(a=a.split('"'),e=a[1],function(f){return sre.Grammar.getInstance().getParameter(e)}):
+a.match(/^not\(\s*contains\(\s*@grammar\s*,\s*"[\w\d ]+"\s*\)\s*\)$/)?(a=a.split('"'),e=a[1],function(f){return!sre.Grammar.getInstance().getParameter(e)}):null};sre.QueryTrieNode=function(a,b){this.context_=b;sre.StaticTrieNode.call(this,a,sre.TrieNodeFactory.constraintTest_(a));this.kind=sre.TrieNode.Kind.QUERY};goog.inherits(sre.QueryTrieNode,sre.StaticTrieNode);sre.QueryTrieNode.prototype.applyTest=function(a){return this.test?this.test(a):this.context_.applyQuery(a,this.constraint)===a};
+sre.BooleanTrieNode=function(a,b){this.context_=b;sre.StaticTrieNode.call(this,a,sre.TrieNodeFactory.constraintTest_(a));this.kind=sre.TrieNode.Kind.BOOLEAN};goog.inherits(sre.BooleanTrieNode,sre.StaticTrieNode);sre.BooleanTrieNode.prototype.applyTest=function(a){return this.test?this.test(a):this.context_.applyConstraint(a,this.constraint)};sre.Trie=function(a){this.store=a;this.root=sre.TrieNodeFactory.getNode(sre.TrieNode.Kind.ROOT,"",this.store.context)};sre.Trie.prototype.addRule=function(a){for(var b=this.root,c=a.context,d=a.dynamicCstr.getValues(),e=0,f=d.length;e<f;e++)b=this.addNode_(b,d[e],sre.TrieNode.Kind.DYNAMIC,c);b=this.addNode_(b,a.precondition.query,sre.TrieNode.Kind.QUERY,c);d=a.precondition.constraints;e=0;for(f=d.length;e<f;e++)b=this.addNode_(b,d[e],sre.TrieNode.Kind.BOOLEAN,c);b.setRule(a)};
+sre.Trie.prototype.addNode_=function(a,b,c,d){var e=a.getChild(b);e||(e=sre.TrieNodeFactory.getNode(c,b,d),a.addChild(e));return e};
+sre.Trie.prototype.lookupRules=function(a,b){for(var c=[this.root],d=[];b.length;){for(var e=b.shift(),f=[];c.length;){var g=c.shift();g=g.getChildren();g.forEach(function(h){h.getKind()===sre.TrieNode.Kind.DYNAMIC&&-1===e.indexOf(h.getConstraint())||f.push(h)})}c=f.slice()}for(;c.length;)g=c.shift(),g.getRule&&(b=g.getRule())&&d.push(b),g=g.findChildren(a),c=c.concat(g);return d};
 sre.Trie.prototype.hasSubtrie=function(a){for(var b=this.root,c=0,d=a.length;c<d;c++)if(b=b.getChild(a[c]),!b)return!1;return!0};sre.Trie.prototype.toString=function(){return sre.Trie.printWithDepth_(this.root,0,"")};sre.Trie.prototype.collectRules=function(){return sre.Trie.collectRules_(this.root)};sre.Trie.prototype.order=function(){return sre.Trie.order_(this.root)};
 sre.Trie.printWithDepth_=function(a,b,c){var d=Array(b+2).join(b)+": ";c+=d+a.toString()+"\n";a=a.getChildren();d=0;for(var e;e=a[d];d++)c=sre.Trie.printWithDepth_(e,b+1,c);return c};sre.Trie.order_=function(a){a=a.getChildren();if(!a.length)return 0;var b=Math.max.apply(null,a.map(sre.Trie.order_));return Math.max(a.length,b)};
-sre.Trie.collectRules_=function(a){var b=[];for(a=[a];a.length;){var c=a.shift();if(c.getKind()===sre.TrieNode.Kind.QUERY||c.getKind()===sre.TrieNode.Kind.BOOLEAN){var d=c.getRule();d&&b.unshift(d)}a=a.concat(c.getChildren())}return b};sre.BaseRuleStore=function(){this.customQueries=new sre.SpeechRuleFunctions.CustomQueries;this.customStrings=new sre.SpeechRuleFunctions.CustomStrings;this.contextFunctions=new sre.SpeechRuleFunctions.ContextFunctions;this.speechRules_=[];this.trie=new sre.Trie(this);this.parseOrder=sre.DynamicCstr.DEFAULT_ORDER;this.parser=new sre.DynamicCstr.Parser(this.parseOrder);this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE];this.initialized=!1};
-sre.BaseRuleStore.prototype.lookupRule=function(a,b){if(!a||a.nodeType!=sre.DomUtil.NodeType.ELEMENT_NODE&&a.nodeType!=sre.DomUtil.NodeType.TEXT_NODE)return null;a=this.trie.lookupRules(a,b.allProperties());return 0<a.length?this.pickMostConstraint_(b,a):null};
-sre.BaseRuleStore.prototype.defineRule=function(a,b,c,d,e){try{var f=sre.SpeechRule.Action.fromString(c),g=Array.prototype.slice.call(arguments,4),h=new sre.SpeechRule.Precondition(d,g),k=this.parseCstr(b);var l=new sre.SpeechRule(a,k,h,f)}catch(m){if("RuleError"==m.name)return console.log("Rule Error ",d,"("+b+"):",m.message),null;throw m;}this.addRule(l);return l};sre.BaseRuleStore.prototype.addRule=function(a){this.trie.addRule(a);this.speechRules_.unshift(a)};
+sre.Trie.collectRules_=function(a){var b=[];for(a=[a];a.length;){var c=a.shift();if(c.getKind()===sre.TrieNode.Kind.QUERY||c.getKind()===sre.TrieNode.Kind.BOOLEAN){var d=c.getRule();d&&b.unshift(d)}a=a.concat(c.getChildren())}return b};sre.Trie.prototype.enumerate=function(a){return this.enumerate_(this.root,a)};
+sre.Trie.prototype.enumerate_=function(a,b){b=b||{};a=a.getChildren();for(var c=0,d;d=a[c];c++)d.kind===sre.TrieNode.Kind.DYNAMIC&&(b[d.getConstraint()]=this.enumerate_(d,b[d.getConstraint()]));return b};sre.BaseRuleStore=function(){this.context=new sre.SpeechRuleContext;this.customQueries=this.context.customQueries;this.customStrings=this.context.customStrings;this.contextFunctions=this.context.contextFunctions;this.speechRules_=[];this.trie=new sre.Trie(this);this.parseOrder=sre.DynamicCstr.DEFAULT_ORDER;this.parser=new sre.DynamicCstr.Parser(this.parseOrder);this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE];this.modality=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY];
+this.domain=null;this.initialized=!1;this.parseMethods={Rule:goog.bind(this.defineRule,this)}};sre.BaseRuleStore.prototype.lookupRule=function(a,b){if(!a||a.nodeType!=sre.DomUtil.NodeType.ELEMENT_NODE&&a.nodeType!=sre.DomUtil.NodeType.TEXT_NODE)return null;a=this.trie.lookupRules(a,b.allProperties());return 0<a.length?this.pickMostConstraint_(b,a):null};
+sre.BaseRuleStore.prototype.defineRule=function(a,b,c,d,e){try{var f=sre.SpeechRule.Action.fromString(c),g=Array.prototype.slice.call(arguments,4),h=new sre.SpeechRule.Precondition(d,g),k=this.parseCstr(b);var l=new sre.SpeechRule(a,k,h,f)}catch(m){if("RuleError"==m.name)return console.error("Rule Error ",d,"("+b+"):",m.message),null;throw m;}this.addRule(l);return l};sre.BaseRuleStore.prototype.addRule=function(a){a.context=this.context;this.trie.addRule(a);this.speechRules_.unshift(a)};
 sre.BaseRuleStore.prototype.deleteRule=function(a){a=this.speechRules_.indexOf(a);-1!=a&&this.speechRules_.splice(a,1)};sre.BaseRuleStore.prototype.findRule=function(a){for(var b=0,c;c=this.speechRules_[b];b++)if(a(c))return c;return null};sre.BaseRuleStore.prototype.findAllRules=function(a){return this.speechRules_.filter(a)};sre.BaseRuleStore.prototype.evaluateDefault=function(a){return[sre.AuditoryDescription.create({text:a.textContent})]};
-sre.BaseRuleStore.prototype.debugSpeechRule=function(a,b){a=a.precondition;var c=this.applyQuery(b,a.query);sre.Debugger.getInstance().output(a.query,c?c.toString():c);a.constraints.forEach(goog.bind(function(a){sre.Debugger.getInstance().output(a,this.applyConstraint(b,a))},this))};sre.BaseRuleStore.prototype.initialize=goog.abstractMethod;
-sre.BaseRuleStore.prototype.removeDuplicates=function(a){for(var b=this.speechRules_.length-1,c;c=this.speechRules_[b];b--)c!=a&&a.dynamicCstr.equal(c.dynamicCstr)&&sre.BaseRuleStore.comparePreconditions_(c,a)&&this.speechRules_.splice(b,1)};sre.BaseRuleStore.prototype.applyCustomQuery=function(a,b){return(b=this.customQueries.lookup(b))?b(a):null};sre.BaseRuleStore.prototype.applySelector=function(a,b){return this.applyCustomQuery(a,b)||sre.XpathUtil.evalXPath(b,a)};
-sre.BaseRuleStore.prototype.applyQuery=function(a,b){a=this.applySelector(a,b);return 0<a.length?a[0]:null};sre.BaseRuleStore.prototype.applyConstraint=function(a,b){return!!this.applyQuery(a,b)||sre.XpathUtil.evaluateBoolean(b,a)};
-sre.BaseRuleStore.prototype.pickMostConstraint_=function(a,b){var c=sre.Engine.getInstance().comparator;b.sort(function(a,b){return c.compare(a.dynamicCstr,b.dynamicCstr)||b.precondition.constraints.length-a.precondition.constraints.length});sre.Debugger.getInstance().generateOutput(goog.bind(function(){return b.map(function(a){return a.name+"("+a.dynamicCstr.toString()+")"})},this));return b[0]};
+sre.BaseRuleStore.prototype.debugSpeechRule=function(a,b){var c=a.precondition,d=a.context.applyQuery(b,c.query);sre.Debugger.getInstance().output(c.query,d?d.toString():d);c.constraints.forEach(goog.bind(function(e){sre.Debugger.getInstance().output(e,a.context.applyConstraint(b,e))},this))};sre.BaseRuleStore.prototype.initialize=goog.abstractMethod;
+sre.BaseRuleStore.prototype.removeDuplicates=function(a){for(var b=this.speechRules_.length-1,c;c=this.speechRules_[b];b--)c!=a&&a.dynamicCstr.equal(c.dynamicCstr)&&sre.BaseRuleStore.comparePreconditions_(c,a)&&this.speechRules_.splice(b,1)};
+sre.BaseRuleStore.prototype.pickMostConstraint_=function(a,b){var c=sre.Engine.getInstance().comparator;b.sort(function(d,e){return c.compare(d.dynamicCstr,e.dynamicCstr)||e.precondition.constraints.length-d.precondition.constraints.length});sre.Debugger.getInstance().generateOutput(goog.bind(function(){return b.map(function(d){return d.name+"("+d.dynamicCstr.toString()+")"})},this));return b[0]};
 sre.BaseRuleStore.compareStaticConstraints_=function(a,b){if(a.length!=b.length)return!1;for(var c=0,d;d=a[c];c++)if(-1==b.indexOf(d))return!1;return!0};sre.BaseRuleStore.comparePreconditions_=function(a,b){a=a.precondition;b=b.precondition;return a.query!=b.query?!1:sre.BaseRuleStore.compareStaticConstraints_(a.constraints,b.constraints)};sre.BaseRuleStore.prototype.getSpeechRules=function(){return this.speechRules_};sre.BaseRuleStore.prototype.setSpeechRules=function(a){this.speechRules_=a};
-sre.BaseRuleStore.prototype.parseCstr=function(a){return this.parser.parse(this.locale+"."+a)};sre.MathStore=function(){sre.BaseRuleStore.call(this);this.initializer=[]};goog.inherits(sre.MathStore,sre.BaseRuleStore);sre.MathStore.prototype.initialize=function(){if(!this.initialized){for(var a=0,b;b=this.initializer[a];a++)b();this.setSpeechRules(this.trie.collectRules());this.initialized=!0}};
-sre.MathStore.prototype.defineUniqueRuleAlias=function(a,b,c,d){var e=this.parseCstr(b),f=this.findRule(goog.bind(function(b){return b.name==a&&e.equal(b.dynamicCstr)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");this.addAlias_(f,c,Array.prototype.slice.call(arguments,3))};
-sre.MathStore.prototype.defineRuleAlias=function(a,b,c){var d=this.findRule(function(b){return b.name==a});if(!d)throw new sre.SpeechRule.OutputError("Rule with named "+a+" does not exist.");this.addAlias_(d,b,Array.prototype.slice.call(arguments,2))};
-sre.MathStore.prototype.defineRulesAlias=function(a,b,c){var d=this.findAllRules(function(b){return b.name==a});if(0==d.length)throw new sre.SpeechRule.OutputError("Rule with name "+a+" does not exist.");var e=Array.prototype.slice.call(arguments,2);d.forEach(goog.bind(function(a){this.addAlias_(a,b,e)},this))};sre.MathStore.prototype.addAlias_=function(a,b,c){b=new sre.SpeechRule.Precondition(b,c);b=new sre.SpeechRule(a.name,a.dynamicCstr,b,a.action);b.name=a.name;this.addRule(b)};
-sre.MathStore.prototype.defineSpecialisedRule=function(a,b,c,d){var e=this.parseCstr(b),f=this.findRule(goog.bind(function(b){return b.name==a&&e.equal(b.dynamicCstr)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");b=this.parseCstr(c);d=d?sre.SpeechRule.Action.fromString(d):f.action;f=new sre.SpeechRule(f.name,b,f.precondition,d);this.addRule(f)};sre.MathStore.prototype.evaluateDefault=function(a){return this.evaluateString_(a.textContent)};
-sre.MathStore.prototype.evaluateString_=function(a){var b=[];if(a.match(/^\s+$/))return b;a=sre.BaseUtil.removeEmpty(a.replace(/\s/g," ").split(" "));for(var c=0,d;d=a[c];c++)if(1==d.length)b.push(this.evaluate_(d));else if(d.match(/^[a-zA-Z]+$/))b.push(this.evaluate_(d));else for(;d;){var e=d.match(/^((\d{1,3})(?=,)(,\d{3})*(\.\d+)?)|^\d*\.\d+|^\d+/),f=d.match(/^[a-zA-Z]+/);e?(b.push(this.evaluate_(e[0])),d=d.substring(e[0].length)):f?(b.push(this.evaluate_(f[0])),d=d.substring(f[0].length)):(e=
-d[0].charCodeAt(0),55296<=e&&56319>=e&&1<d.length&&!isNaN(d.charCodeAt(1))?(b.push(this.evaluate_(d.slice(0,2))),d=d.substring(2)):(b.push(this.evaluate_(d[0])),d=d.substring(1)))}return b};sre.MathStore.prototype.evaluate_=function(a){return sre.AuditoryDescription.create({text:a},{adjust:!0,translate:!0})};sre.WalkerUtil={};sre.WalkerUtil.splitAttribute=function(a){return a?a.split(/,/):[]};sre.WalkerUtil.getAttribute=function(a,b){return sre.DomUtil.getDataAttribute(a,b)};sre.WalkerUtil.getSemanticRoot=function(a){if(a.hasAttribute(sre.EnrichMathml.Attribute.TYPE)&&!a.hasAttribute(sre.EnrichMathml.Attribute.PARENT))return a;for(var b=sre.DomUtil.querySelectorAllByAttr(a,sre.EnrichMathml.Attribute.TYPE),c=0,d;d=b[c];c++)if(!d.hasAttribute(sre.EnrichMathml.Attribute.PARENT))return d;return a};
-sre.WalkerUtil.getBySemanticId=function(a,b){return a.getAttribute(sre.EnrichMathml.Attribute.ID)===b?a:sre.DomUtil.querySelectorAllByAttrValue(a,sre.EnrichMathml.Attribute.ID,b)[0]};sre.RebuildStree=function(a){this.nodeDict={};this.mathml=a;this.mmlRoot=sre.WalkerUtil.getSemanticRoot(a);this.streeRoot=this.assembleTree(this.mmlRoot);this.stree=sre.SemanticTree.fromNode(this.streeRoot,this.mathml);this.xml=this.stree.xml()};sre.RebuildStree.prototype.getTree=function(){return this.stree};
-sre.RebuildStree.prototype.assembleTree=function(a){var b=this.makeNode(a),c=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CHILDREN)),d=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CONTENT));if(0===d.length&&0===c.length)return b.textContent=a.textContent,b;if(0<d.length){var e=sre.WalkerUtil.getBySemanticId(a,d[0]);e&&(e=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(e,sre.EnrichMathml.Attribute.OPERATOR)),
-1<e.length&&(b.textContent=e[1]))}e=function(c){c=sre.WalkerUtil.getBySemanticId(a,c);c=this.assembleTree(c);c.parent=b;return c};b.contentNodes=d.map(goog.bind(e,this));b.childNodes=c.map(goog.bind(e,this));return(c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.COLLAPSED))?this.postProcess(b,c):b};
-sre.RebuildStree.prototype.makeNode=function(a){var b=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.TYPE),c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ROLE),d=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.FONT),e=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ID),f=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.EMBELLISHED);a=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.FENCEPOINTER);e=this.createNode(parseInt(e,10));e.type=b;e.role=
-c;e.font=d?d:sre.SemanticAttr.Font.UNKNOWN;a&&(e.fencePointer=a);f&&(e.embellished=f);return e};sre.RebuildStree.isPunctuated=function(a){return!sre.SemanticSkeleton.simpleCollapseStructure(a)&&a[1]&&sre.SemanticSkeleton.contentCollapseStructure(a[1])};sre.RebuildStree.prototype.makePunctuation=function(a){a=this.createNode(a);a.updateContent(sre.SemanticAttr.invisibleComma());a.role=sre.SemanticAttr.Role.DUMMY;return a};
-sre.RebuildStree.prototype.makePunctuated=function(a,b,c){var d=this.createNode(b[0]);d.type=sre.SemanticAttr.Type.PUNCTUATED;d.embellished=a.embellished;d.fencePointer=a.fencePointer;d.role=c;a=b.splice(1,1)[0].slice(1);d.contentNodes=a.map(goog.bind(this.makePunctuation,this));this.collapsedChildren_(b)};sre.RebuildStree.prototype.makeEmpty=function(a,b,c){b=this.createNode(b);b.type=sre.SemanticAttr.Type.EMPTY;b.embellished=a.embellished;b.fencePointer=a.fencePointer;b.role=c};
-sre.RebuildStree.prototype.makeIndex=function(a,b,c){sre.RebuildStree.isPunctuated(b)?this.makePunctuated(a,b,c):sre.SemanticSkeleton.simpleCollapseStructure(b)&&!this.nodeDict[b.toString()]&&this.makeEmpty(a,b,c)};
-sre.RebuildStree.prototype.postProcess=function(a,b){b=sre.SemanticSkeleton.fromString(b).array;if(a.type===sre.SemanticAttr.Role.SUBSUP){var c=this.createNode(b[1][0]);c.type=sre.SemanticAttr.Type.SUBSCRIPT;c.role=sre.SemanticAttr.Role.SUBSUP;a.type=sre.SemanticAttr.Type.SUPERSCRIPT;c.embellished=a.embellished;c.fencePointer=a.fencePointer;this.makeIndex(a,b[1][2],sre.SemanticAttr.Role.RIGHTSUB);this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUPER);this.collapsedChildren_(b);return a}if(a.type===
-sre.SemanticAttr.Type.SUBSCRIPT)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUB),this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.SUPERSCRIPT)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUPER),this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.TENSOR)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.LEFTSUB),this.makeIndex(a,b[3],sre.SemanticAttr.Role.LEFTSUPER),this.makeIndex(a,b[4],sre.SemanticAttr.Role.RIGHTSUB),this.makeIndex(a,b[5],sre.SemanticAttr.Role.RIGHTSUPER),
-this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.PUNCTUATED)return sre.RebuildStree.isPunctuated(b)&&(b=b.splice(1,1)[0].slice(1),a.contentNodes=b.map(goog.bind(this.makePunctuation,this))),a;a.type===sre.SemanticAttr.Role.UNDEROVER&&(c=this.createNode(b[1][0]),a.childNodes[1].role===sre.SemanticAttr.Role.OVERACCENT?(c.type=sre.SemanticAttr.Type.OVERSCORE,a.type=sre.SemanticAttr.Type.UNDERSCORE):(c.type=sre.SemanticAttr.Type.UNDERSCORE,a.type=sre.SemanticAttr.Type.OVERSCORE),c.role=
-sre.SemanticAttr.Role.UNDEROVER,c.embellished=a.embellished,c.fencePointer=a.fencePointer,this.collapsedChildren_(b));return a};sre.RebuildStree.prototype.createNode=function(a){var b=new sre.SemanticNode(a);return this.nodeDict[a.toString()]=b};
-sre.RebuildStree.prototype.collapsedChildren_=function(a){var b=goog.bind(function(a){var c=this.nodeDict[a[0]];c.childNodes=[];for(var e=1,f=a.length;e<f;e++){var g=a[e];c.childNodes.push(sre.SemanticSkeleton.simpleCollapseStructure(g)?this.nodeDict[g]:b(g))}return c},this);b(a)};sre.SpeechGenerator=function(){};sre.SpeechGenerator.prototype.getSpeech=function(a,b){};sre.SpeechGenerator.prototype.getRebuilt=function(){};sre.SpeechGenerator.prototype.setRebuilt=function(a){};sre.SpeechGenerator.prototype.start=function(){};sre.SpeechGenerator.prototype.end=function(){};sre.MathSimpleStore=function(){sre.MathStore.call(this)};goog.inherits(sre.MathSimpleStore,sre.MathStore);sre.MathSimpleStore.prototype.defineRulesFromMappings=function(a,b,c){for(var d in c)for(var e in c[d])this.defineRule(a,d+"."+e,'[t] "'+c[d][e]+'"',"self::text()",'"'===b?"self::text() = '"+b+"'":'self::text() = "'+b+'"')};
-sre.MathSimpleStore.prototype.lookupRule=function(a,b){a=this.getSpeechRules().filter(function(a){return sre.MathSimpleStore.testDynamicConstraints_(b,a)});return a.length?a.sort(function(a,b){return sre.Engine.getInstance().comparator.compare(a.dynamicCstr,b.dynamicCstr)})[0]:null};sre.MathSimpleStore.testDynamicConstraints_=function(a,b){return sre.Engine.getInstance().strict?b.dynamicCstr.equal(a):sre.Engine.getInstance().comparator.match(b.dynamicCstr)};
-sre.MathCompoundStore=function(){this.subStores_={};this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]};goog.addSingletonGetter(sre.MathCompoundStore);sre.MathCompoundStore.prototype.defineRules=function(a,b,c){var d=this.subStores_[b];d?sre.Debugger.getInstance().output("Store exists! "+b):(d=new sre.MathSimpleStore,this.subStores_[b]=d);d.locale=this.locale;d.defineRulesFromMappings(a,b,c)};
-sre.MathCompoundStore.prototype.changeLocale_=function(a){if(!a.locale)return!1;this.locale=a.locale;return!0};sre.MathCompoundStore.prototype.addSymbolRules=function(a){if(!this.changeLocale_(a)){var b=sre.MathSimpleStore.parseUnicode_(a.key);this.defineRules(a.key,b,a.mappings)}};sre.MathCompoundStore.prototype.addFunctionRules=function(a){if(!this.changeLocale_(a)){var b=a.names;a=a.mappings;for(var c=0,d;d=b[c];c++)this.defineRules(d,d,a)}};
-sre.MathCompoundStore.prototype.addUnitRules=function(a){if(!this.changeLocale_(a)){var b=a.names;b&&(a.names=b.map(function(a){return a+":unit"}));this.addFunctionRules(a)}};sre.MathCompoundStore.prototype.lookupRule=function(a,b){return(a=this.subStores_[a])?a.lookupRule(null,b):null};sre.MathCompoundStore.prototype.lookupString=function(a,b){return(a=this.lookupRule(a,b))?a.action.components.map(function(a){return a.content.slice(1,-1)}).join(" "):""};
-sre.MathSimpleStore.parseUnicode_=function(a){a=parseInt(a,16);if(65536>a)return String.fromCharCode(a);a-=65536;return String.fromCharCode((a>>10)+55296,(a&1023)+56320)};sre.MathMap=function(){this.store=sre.MathCompoundStore.getInstance();this.retrieveMaps()};goog.addSingletonGetter(sre.MathMap);sre.MathMap.toFetch_=0;sre.Engine.registerTest(function(){return sre.MathMap.getInstance()&&!sre.MathMap.toFetch_});sre.MathMap.prototype.stringify=function(){return JSON.stringify(this)};sre.MathMap.SYMBOLS_PATH_="symbols";sre.MathMap.FUNCTIONS_PATH_="functions";sre.MathMap.UNITS_PATH_="units";sre.MathMap.SYMBOLS_FILES_="greek-capital.js greek-small.js greek-scripts.js greek-symbols.js greek-mathfonts-bold.js greek-mathfonts-italic.js greek-mathfonts-sans-serif-bold.js hebrew_letters.js latin-lower-double-accent.js latin-lower-normal.js latin-lower-phonetic.js latin-lower-single-accent.js latin-rest.js latin-upper-double-accent.js latin-upper-normal.js latin-upper-single-accent.js latin-mathfonts-bold-fraktur.js latin-mathfonts-bold.js latin-mathfonts-bold-script.js latin-mathfonts-double-struck.js latin-mathfonts-fraktur.js latin-mathfonts-italic.js latin-mathfonts-monospace.js latin-mathfonts-sans-serif-bold.js latin-mathfonts-sans-serif-italic.js latin-mathfonts-sans-serif.js latin-mathfonts-script.js math_angles.js math_arrows.js math_characters.js math_delimiters.js math_digits.js math_geometry.js math_harpoons.js math_non_characters.js math_symbols.js math_whitespace.js other_stars.js".split(" ");
-sre.MathMap.FUNCTIONS_FILES_=["algebra.js","elementary.js","hyperbolic.js","trigonometry.js"];sre.MathMap.UNITS_FILES_="energy.js length.js memory.js other.js speed.js temperature.js time.js volume.js weight.js".split(" ");
-sre.MathMap.retrieveFiles=function(a,b,c){b=sre.BaseUtil.makePath(sre.SystemExternal.jsonPath+b);switch(sre.Engine.getInstance().mode){case sre.Engine.Mode.ASYNC:sre.MathMap.toFetch_+=a.length;for(var d=0,e;e=a[d];d++)sre.MathMap.fromFile_(b+e,function(a,b){sre.MathMap.toFetch_--;a||JSON.parse(b).forEach(function(a){c(a)})});break;case sre.Engine.Mode.HTTP:var f=sre.Engine.getInstance().isIE;sre.MathMap.toFetch_+=a.length;for(d=0;e=a[d];d++)f?sre.MathMap.getJsonIE_(e,c):sre.MathMap.getJsonAjax_(b+
-e,c);break;default:sre.MathMap.parseFiles(a.map(function(a){return b+a})).forEach(function(a){c(a)})}};
-sre.MathMap.prototype.retrieveMaps=function(){for(var a=0;a<sre.Variables.LOCALES.length;a++){var b=sre.Variables.LOCALES[a];sre.MathMap.retrieveFiles(sre.MathMap.FUNCTIONS_FILES_,b+"/"+sre.MathMap.FUNCTIONS_PATH_,goog.bind(this.store.addFunctionRules,this.store));sre.MathMap.retrieveFiles(sre.MathMap.SYMBOLS_FILES_,b+"/"+sre.MathMap.SYMBOLS_PATH_,goog.bind(this.store.addSymbolRules,this.store));sre.MathMap.retrieveFiles(sre.MathMap.UNITS_FILES_,b+"/"+sre.MathMap.UNITS_PATH_,goog.bind(this.store.addUnitRules,
-this.store))}};sre.MathMap.getJsonIE_=function(a,b,c){var d=c||1;if(sre.BrowserUtil.mapsForIE){for(c=0;c<sre.Variables.LOCALES.length;c++){var e=sre.BrowserUtil.mapsForIE[sre.Variables.LOCALES[c]+"/"+a];e&&e.forEach(function(a){b(a)})}sre.MathMap.toFetch_--}else 5>=d?setTimeout(function(){sre.MathMap.getJsonIE_(a,b,d++)},300):sre.MathMap.toFetch_--};sre.MathMap.fromFile_=function(a,b){return sre.SystemExternal.fs.readFile(a,"utf8",b)};
-sre.MathMap.loadFile=function(a){try{return sre.MathMap.readJSON_(a)}catch(b){console.log("Unable to load file: "+a+", error: "+b)}};sre.MathMap.loadFiles=function(a){return a.map(sre.MathMap.loadFile)};sre.MathMap.parseFiles=function(a){a=sre.MathMap.loadFiles(a);return[].concat.apply([],a.map(function(a){return JSON.parse(a)}))};sre.MathMap.readJSON_=function(a){return sre.SystemExternal.fs.readFileSync(a)};
-sre.MathMap.getJsonAjax_=function(a,b){var c=new XMLHttpRequest;c.onreadystatechange=function(){4===c.readyState&&(sre.MathMap.toFetch_--,200===c.status&&JSON.parse(c.responseText).forEach(function(a){b(a)}))};c.open("GET",a,!0);c.send()};sre.AbstractionRules=function(){sre.MathStore.call(this)};goog.inherits(sre.AbstractionRules,sre.MathStore);goog.addSingletonGetter(sre.AbstractionRules);sre.AbstractionRules.mathStore=sre.AbstractionRules.getInstance();sre.AbstractionRules.defineRule_=goog.bind(sre.AbstractionRules.mathStore.defineRule,sre.AbstractionRules.mathStore);sre.AbstractionRules.defineRuleAlias_=goog.bind(sre.AbstractionRules.mathStore.defineRulesAlias,sre.AbstractionRules.mathStore);
-sre.AbstractionRules.defineSpecialisedRule_=goog.bind(sre.AbstractionRules.mathStore.defineSpecialisedRule,sre.AbstractionRules.mathStore);sre.AbstractionRules.defineUniqueRuleAlias_=goog.bind(sre.AbstractionRules.mathStore.defineUniqueRuleAlias,sre.AbstractionRules.mathStore);
-sre.AbstractionRules.initAbstractionRules_=function(){(0,sre.AbstractionRules.defineRule_)("abstr-collapsed","mathspeak.default",'[t] "collapsed"; [n] . (grammar:collapsed)',"self::*","@alternative",'not(@alternative="summary")','not(contains(@grammar, "collapsed"))');(0,sre.AbstractionRules.defineRule_)("abstr-identifier","mathspeak.default",'[t] "long identifier"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-identifier","mathspeak.default",
-'[t] "identifier"',"self::identifier",'@alternative="summary"',"@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-identifier","mathspeak.brief",'[t] "identifier"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-identifier","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-number","mathspeak.default",'[t] "long number"',"self::number","@alternative");
-(0,sre.AbstractionRules.defineRule_)("abstr-number","mathspeak.default",'[t] "number"',"self::number","@alternative",'@alternative="summary"');(0,sre.AbstractionRules.defineRule_)("abstr-number","mathspeak.brief",'[t] "number"',"self::number","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-mixed-number","mathspeak.default",'[t] "long mixed number"',"self::number","@alternative",'@role="mixed"');
-(0,sre.AbstractionRules.defineRule_)("abstr-mixed-number","mathspeak.brief",'[t] "mixed number"',"self::number","@alternative",'@role="mixed"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-mixed-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-text","mathspeak.default",'[t] "text"',"self::text","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-function","mathspeak.default",'[t] "functional expression"',"self::function","@alternative","self::*");
-(0,sre.AbstractionRules.defineRule_)("abstr-function","mathspeak.brief",'[t] "function"',"self::function","@alternative","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-function","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-lim","mathspeak.default",'[t] "limit function"',"self::function","@alternative",'@role="limit function"');(0,sre.AbstractionRules.defineRule_)("abstr-lim","mathspeak.brief",'[t] "lim"',"self::function","@alternative",'@role="limit function"');
-(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-lim","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-fraction","mathspeak.default",'[t] "fraction"',"self::fraction","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-fraction","mathspeak.brief",'[t] "frac"',"self::fraction","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-fraction","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-continued-fraction",
-"mathspeak.default",'[t] "continued fraction"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-continued-fraction","mathspeak.brief",'[t] "continued frac"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-continued-fraction","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-sqrt",
-"mathspeak.default",'[t] "square root"',"self::sqrt","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-sqrt-nested","mathspeak.default",'[t] "nested square root"',"self::sqrt","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt-nested",
-"mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt-nested","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-root","mathspeak.default",'[t] "root of index"; [n] children/*[1]; [t] "endindex"',"self::root","@alternative","following-sibling::* or ancestor::*/following-sibling::*");(0,sre.AbstractionRules.defineRule_)("abstr-root","mathspeak.brief",'[t] "root"',"self::root","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-root",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-root-nested","mathspeak.default",'[t] "nested root of index"; [n] children/*[1]',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionRules.defineRule_)("abstr-root-nested","mathspeak.default",'[t] "nested root of index"; [n] children/*[1]; [t] "endindex"',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root",
-"following-sibling::* or ancestor::*/following-sibling::*");(0,sre.AbstractionRules.defineRule_)("abstr-root-nested","mathspeak.brief",'[t] "nested root"',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-root-nested","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-superscript","mathspeak.default",'[t] "power"',"self::superscript","@alternative","self::*",
-"self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-superscript","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-subscript","mathspeak.default",'[t] "subscript"',"self::subscript","@alternative","self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subscript","mathspeak.default","mathspeak.brief");
-(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-subsup","mathspeak.default",'[t] "power with subscript"',"self::superscript","@alternative",'name(children/*[1])="subscript"',"self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subsup","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subsup","mathspeak.brief","mathspeak.sbrief");
-(0,sre.AbstractionRules.defineRule_)("abstr-infixop","mathspeak.default",'[t] @role (grammar:localRole); [t] "with"; [t] count(./children/*); [t] "elements"',"self::infixop","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-infixop","mathspeak.default",'[t] @role (grammar:localRole); [t] "with variable number of elements"',"self::infixop","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-infixop","mathspeak.brief",
-"[t] @role (grammar:localRole)","self::infixop","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-infixop","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-addition","mathspeak.default",'[t] "sum with"; [t] count(./children/*); [t] "summands"',"self::infixop","@alternative",'@role="addition"');(0,sre.AbstractionRules.defineRule_)("abstr-addition","mathspeak.brief",'[t] "sum"',"self::infixop","@alternative",'@role="addition"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-addition",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-addition","mathspeak.default",'[t] "sum with variable number of summands"',"self::infixop","@alternative",'@role="addition"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-multiplication","mathspeak.default",'[t] "product with"; [t] count(./children/*); [t] "factors"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionRules.defineRule_)("abstr-multiplication",
-"mathspeak.brief",'[t] "product"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-multiplication","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRuleAlias_)("abstr-multiplication","self::infixop","@alternative",'@role="implicit"');(0,sre.AbstractionRules.defineRule_)("abstr-var-multiplication","mathspeak.default",'[t] "product with variable number of factors"',"self::infixop","@alternative",'@role="multiplication"',
-"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRuleAlias_)("abstr-var-multiplication","self::infixop","@alternative",'@role="implicit"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-vector","mathspeak.default",'[t] count(./children/*) ; [t] "dimensional vector"',"self::vector","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-vector","mathspeak.brief",'[t] "vector"',"self::vector",
-"@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-vector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-vector","mathspeak.default",'[t] "n dimensional vector"',"self::vector","@alternative",'./children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-binomial","mathspeak.default",'[t] "binomial"',"self::vector","@alternative",'@role="binomial"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-binomial",
-"mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-binomial","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-determinant","mathspeak.default",'[t] count(./children/*); [t] "dimensional determinant"',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionRules.defineRule_)("abstr-determinant","mathspeak.brief",'[t] "determinant"',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-determinant",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-determinant","mathspeak.default",'[t] "n dimensional determinant"',"self::matrix","@alternative",'@role="determinant"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-squarematrix","mathspeak.default",'[t] count(./children/*); [t] "dimensional square matrix"',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionRules.defineRule_)("abstr-squarematrix",
-"mathspeak.brief",'[t] "square matrix"',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-squarematrix","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-rowvector","mathspeak.default",'[t] count(./children/row/children/*); [t] "dimensional row vector"',"self::matrix","@alternative",'@role="rowvector"');(0,sre.AbstractionRules.defineRule_)("abstr-rowvector","mathspeak.brief",'[t] "row vector"',"self::matrix",
-"@alternative",'@role="rowvector"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-rowvector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-matrix","mathspeak.default",'[t] "n dimensional row vector"',"self::matrix","@alternative",'@role="rowvector"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-matrix","mathspeak.default",'[t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"',
-"self::matrix","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-matrix","mathspeak.brief",'[t] "matrix"',"self::matrix","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-matrix","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-matrix","mathspeak.default",'[t] "n by m dimensional matrix"',"self::matrix","@alternative",'./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-cases",
-"mathspeak.default",'[t] "case statement";[t] "with"; [t] count(children/*); [t] "cases"',"self::cases","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-cases","mathspeak.brief",'[t] "case statement"',"self::cases","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-cases","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-cases","mathspeak.default",'[t] "case statement with variable number of cases"',"self::cases","@alternative",'./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]');
-(0,sre.AbstractionRules.defineRule_)("abstr-punctuated","mathspeak.default",'[n] content/*[1]; [t] "separated list";[t] "of length"; [t] count(children/*) - count(content/*)',"self::punctuated","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-punctuated","mathspeak.brief",'[n] content/*[1]; [t] "separated list"',"self::punctuated","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-punctuated","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-punctuated",
-"mathspeak.default",'[n] content/*[1]; [t] "separated list";[t] "of variable length"',"self::punctuated","@alternative",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-bigop","mathspeak.default","[n] content/*[1]","self::bigop","@alternative","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-integral","mathspeak.default",'[t] "integral"',"self::*","@alternative",'@role="integral"');(0,sre.AbstractionRules.defineRule_)("abstr-relation","mathspeak.default",
-"[t] @role (grammar:localRole);","self::relseq","@alternative","count(./children/*)=2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-relation","mathspeak.default",'[t] @role (grammar:localRole); [t] "sequence"; [t] "with"; [t] count(./children/*); [t] "elements"',"self::relseq","@alternative","count(./children/*)>2");
-(0,sre.AbstractionRules.defineRule_)("abstr-relation","mathspeak.brief",'[t] @role (grammar:localRole); [t] "sequence"',"self::relseq","@alternative","count(./children/*)>2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-relation","mathspeak.default",'[t] @role (grammar:localRole); [t] "sequence"; [t] "with variable number of elements"',"self::relseq","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');
-(0,sre.AbstractionRules.defineUniqueRuleAlias_)("abstr-relation","mathspeak.default","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionRules.defineUniqueRuleAlias_)("abstr-relation","mathspeak.brief","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRuleAlias_)("abstr-var-relation","self::multirel",
-"@alternative",'@role!="unknown"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-multirel","mathspeak.default",'[t] "relation sequence"; [t] "with"; [t] count(./children/*); [t] "elements"',"self::multirel","@alternative","count(./children/*)>2");(0,sre.AbstractionRules.defineRule_)("abstr-multirel","mathspeak.brief",'[t] "relation sequence"',"self::multirel","@alternative","count(./children/*)>2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-multirel",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-multirel","mathspeak.default",'[t] "relation sequence with variable number of elements"',"self::multirel","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-table","mathspeak.default",'[t] "table with"; [t] count(children/*); [t] "rows and";[t] count(children/*[1]/children/*); [t] "columns"',"self::table","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-table",
-"mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-table","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-line","mathspeak.default",'[t] "in"; [t] @role (grammar:localRole);',"self::line","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-row","mathspeak.default",'[t] "in"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "with";[t] count(children/*); [t] "columns"',"self::row","@alternative",
-"*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-row","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-row","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-cell","mathspeak.default",'[t] "in"; [t] @role (grammar:localRole);',"self::cell","@alternative")};sre.AbstractionRules.getInstance().initializer=[sre.AbstractionRules.initAbstractionRules_];sre.AbstractionSpanish=function(){sre.MathStore.call(this);this.locale="es"};goog.inherits(sre.AbstractionSpanish,sre.MathStore);goog.addSingletonGetter(sre.AbstractionSpanish);sre.AbstractionSpanish.mathStore=sre.AbstractionSpanish.getInstance();sre.AbstractionSpanish.defineRule_=goog.bind(sre.AbstractionSpanish.mathStore.defineRule,sre.AbstractionSpanish.mathStore);sre.AbstractionSpanish.defineRuleAlias_=goog.bind(sre.AbstractionSpanish.mathStore.defineRulesAlias,sre.AbstractionSpanish.mathStore);
-sre.AbstractionSpanish.defineSpecialisedRule_=goog.bind(sre.AbstractionSpanish.mathStore.defineSpecialisedRule,sre.AbstractionSpanish.mathStore);sre.AbstractionSpanish.defineUniqueRuleAlias_=goog.bind(sre.AbstractionSpanish.mathStore.defineUniqueRuleAlias,sre.AbstractionSpanish.mathStore);
-sre.AbstractionSpanish.initAbstractionSpanish_=function(){(0,sre.AbstractionSpanish.defineRule_)("abstr-collapsed","mathspeak.default",'[n] . (grammar:collapsed); [t] "plegado"',"self::*","@alternative",'not(@alternative="summary")','not(contains(@grammar, "collapsed"))');(0,sre.AbstractionSpanish.defineRule_)("abstr-identifier","mathspeak.default",'[t] "identificador largo"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-identifier",
-"mathspeak.default",'[t] "identificador"',"self::identifier",'@alternative="summary"',"@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-identifier","mathspeak.brief",'[t] "identificador"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-identifier","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-number","mathspeak.default",'[t] "n\u00famero largo"',
-"self::number","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-number","mathspeak.default",'[t] "n\u00famero"',"self::number","@alternative",'@alternative="summary"');(0,sre.AbstractionSpanish.defineRule_)("abstr-number","mathspeak.brief",'[t] "n\u00famero"',"self::number","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-mixed-number","mathspeak.default",'[t] "n\u00famero largo mixto"',
-"self::number","@alternative",'@role="mixed"');(0,sre.AbstractionSpanish.defineRule_)("abstr-mixed-number","mathspeak.brief",'[t] "numero mixto"',"self::number","@alternative",'@role="mixed"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-mixed-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-text","mathspeak.default",'[t] "texto"',"self::text","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-function","mathspeak.default",'[t] "expresi\u00f3n funcional"',
-"self::function","@alternative","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-function","mathspeak.brief",'[t] "funci\u00f3n"',"self::function","@alternative","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-function","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-lim","mathspeak.default",'[t] "funci\u00f3n de l\u00edmite"',"self::function","@alternative",'@role="limit function"');(0,sre.AbstractionSpanish.defineRule_)("abstr-lim",
-"mathspeak.brief",'[t] "l\u00edmite"',"self::function","@alternative",'@role="limit function"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-lim","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-fraction","mathspeak.default",'[t] "fracci\u00f3n"',"self::fraction","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-fraction","mathspeak.brief",'[t] "frac"',"self::fraction","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-fraction",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-continued-fraction","mathspeak.default",'[t] "fracci\u00f3n continua"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-continued-fraction","mathspeak.brief",'[t] "frac continua"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-continued-fraction",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-sqrt","mathspeak.default",'[t] "ra\u00edz cuadrada"',"self::sqrt","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-sqrt","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-sqrt","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-sqrt-nested","mathspeak.default",'[t] "ra\u00edz cuadrada anidada"',"self::sqrt","@alternative",
-"children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-sqrt-nested","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-sqrt-nested","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-root","mathspeak.default",'[t] "ra\u00edz del \u00edndice"; [n] children/*[1]; [t] "finalizar de \u00edndice"',"self::root","@alternative","following-sibling::* or ancestor::*/following-sibling::*");
-(0,sre.AbstractionSpanish.defineRule_)("abstr-root","mathspeak.brief",'[t] "ra\u00edz"',"self::root","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-root","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-root-nested","mathspeak.default",'[t] "ra\u00edz anidada del \u00edndice"; [n] children/*[1]',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionSpanish.defineRule_)("abstr-root-nested",
-"mathspeak.default",'[t] "ra\u00edz anidada del \u00edndice"; [n] children/*[1]; [t] "finalizar de \u00edndice"',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root","following-sibling::* or ancestor::*/following-sibling::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-root-nested","mathspeak.brief",'[t] "ra\u00edz anidada"',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-root-nested",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-superscript","mathspeak.default",'[t] "potencia"',"self::superscript","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-superscript","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-subscript","mathspeak.default",
-'[t] "sub\u00edndice"',"self::subscript","@alternative","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-subscript","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-subsup","mathspeak.default",'[t] "potencia con sub\u00edndice"',"self::superscript","@alternative",'name(children/*[1])="subscript"',"self::*","self::*","self::*");
-(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-subsup","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-subsup","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-infixop","mathspeak.default",'[t] @role (grammar:localRole); [t] "con"; [t] count(./children/*); [t] "elementos"',"self::infixop","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-infixop","mathspeak.default",'[t] @role (grammar:localRole); [t] "con una cantidad variable de elementos"',
-"self::infixop","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-infixop","mathspeak.brief","[t] @role (grammar:localRole)","self::infixop","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-infixop","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-addition","mathspeak.default",'[t] "suma con"; [t] count(./children/*); [t] "sumandos"',"self::infixop","@alternative",
-'@role="addition"');(0,sre.AbstractionSpanish.defineRule_)("abstr-addition","mathspeak.brief",'[t] "suma"',"self::infixop","@alternative",'@role="addition"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-addition","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-addition","mathspeak.default",'[t] "suma con n\u00famero variable de sumandos"',"self::infixop","@alternative",'@role="addition"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');
-(0,sre.AbstractionSpanish.defineRule_)("abstr-multiplication","mathspeak.default",'[t] "producto con"; [t] count(./children/*); [t] "factores"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionSpanish.defineRule_)("abstr-multiplication","mathspeak.brief",'[t] "producto"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-multiplication","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRuleAlias_)("abstr-multiplication",
-"self::infixop","@alternative",'@role="implicit"');(0,sre.AbstractionSpanish.defineRule_)("abstr-var-multiplication","mathspeak.default",'[t] "producto con una cantidad variable de factores"',"self::infixop","@alternative",'@role="multiplication"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRuleAlias_)("abstr-var-multiplication","self::infixop","@alternative",'@role="implicit"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');
-(0,sre.AbstractionSpanish.defineRule_)("abstr-vector","mathspeak.default",'[t] "vector de dimensi\u00f3n"; [t] count(./children/*)',"self::vector","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-vector","mathspeak.brief",'[t] "vector"',"self::vector","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-vector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-vector","mathspeak.default",'[t] "vector de dimensi\u00f3n n"',"self::vector",
-"@alternative",'./children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-binomial","mathspeak.default",'[t] "binomio"',"self::vector","@alternative",'@role="binomial"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-binomial","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-binomial","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-determinant","mathspeak.default",
-'[t] "determinante de dimensi\u00f3n"; [t] count(./children/*)',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-determinant","mathspeak.brief",'[t] "determinante"',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-determinant","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-determinant","mathspeak.default",'[t] "determinante de dimensi\u00f3n n"',
-"self::matrix","@alternative",'@role="determinant"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-squarematrix","mathspeak.default",'[t] "matriz cuadrada de dimensi\u00f3n"; [t] count(./children/*)',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionSpanish.defineRule_)("abstr-squarematrix","mathspeak.brief",'[t] "matriz cuadrada"',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-squarematrix",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-rowvector","mathspeak.default",'[t] "vector fila de dimensi\u00f3n"; [t] count(./children/row/children/*) ',"self::matrix","@alternative",'@role="rowvector"');(0,sre.AbstractionSpanish.defineRule_)("abstr-rowvector","mathspeak.brief",'[t] "vector fila"',"self::matrix","@alternative",'@role="rowvector"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-rowvector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-matrix",
-"mathspeak.default",'[t] "vector fila de dimensi\u00f3n n"',"self::matrix","@alternative",'@role="rowvector"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-matrix","mathspeak.default",'[t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [t] "matriz"',"self::matrix","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-matrix","mathspeak.brief",'[t] "matriz"',"self::matrix","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-matrix",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-matrix","mathspeak.default",'[t] "matriz de dimensi\u00f3n n por m"',"self::matrix","@alternative",'./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-cases","mathspeak.default",'[t] "declaraci\u00f3n de caso";[t] "con"; [t] count(children/*); [t] "casos"',"self::cases","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-cases","mathspeak.brief",
-'[t] "declaraci\u00f3n de caso"',"self::cases","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-cases","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-cases","mathspeak.default",'[t] "declaraci\u00f3n de caso con n\u00famero variable de casos"',"self::cases","@alternative",'./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-punctuated",
-"mathspeak.default",'[t] "lista separada por"; [n] content/*[1]; [t] "de longitud"; [t] count(children/*) - count(content/*)',"self::punctuated","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-punctuated","mathspeak.brief",'[t] "lista separada por"; [n] content/*[1]',"self::punctuated","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-punctuated","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-punctuated","mathspeak.default",
-'[t] "lista separada por"; [n] content/*[1]','[t] "de longitud variable"',"self::punctuated","@alternative",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-bigop","mathspeak.default","[n] content/*[1]","self::bigop","@alternative","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-integral","mathspeak.default",'[t] "integral"',"self::*","@alternative",'@role="integral"');(0,sre.AbstractionSpanish.defineRule_)("abstr-relation","mathspeak.default","[t] @role (grammar:localRole);",
-"self::relseq","@alternative","count(./children/*)=2");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-relation","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-relation","mathspeak.default",'[t] "secuencia de"; [t] @role (grammar:localRole); [t] "con"; [t] count(./children/*); [t] "elementos"',"self::relseq","@alternative","count(./children/*)>2");
-(0,sre.AbstractionSpanish.defineRule_)("abstr-relation","mathspeak.brief",'[t] "secuencia de"; [t] @role (grammar:localRole)',"self::relseq","@alternative","count(./children/*)>2");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-relation","mathspeak.default",'[t] "secuencia de"; [t] @role (grammar:localRole); [t] "con una cantidad variable de elementos"',"self::relseq","@alternative","count(./children/*)>2",
-'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineUniqueRuleAlias_)("abstr-relation","mathspeak.default","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionSpanish.defineUniqueRuleAlias_)("abstr-relation","mathspeak.brief","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRuleAlias_)("abstr-var-relation",
-"self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-multirel","mathspeak.default",'[t] "secuencia de relaci\u00f3n"; [t] "con"; [t] count(./children/*); [t] "elementos"',"self::multirel","@alternative","count(./children/*)>2");(0,sre.AbstractionSpanish.defineRule_)("abstr-multirel","mathspeak.brief",'[t] "secuencia de relaci\u00f3n"',"self::multirel","@alternative","count(./children/*)>2");
-(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-multirel","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-multirel","mathspeak.default",'[t] "secuencia de relaci\u00f3n con n\u00famero variable de elementos"',"self::multirel","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-table","mathspeak.default",'[t] "mesa con"; [t] count(children/*); [t] "filas y";[t] count(children/*[1]/children/*); [t] "columnas"',
-"self::table","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-table","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-table","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-line","mathspeak.default",'[t] "en"; [t] @role (grammar:localRole);',"self::line","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-row","mathspeak.default",'[t] "en"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "con";[t] count(children/*); [t] "columnas"',
-"self::row","@alternative","*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-row","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-row","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-cell","mathspeak.default",'[t] "en"; [t] @role (grammar:localRole);',"self::cell","@alternative")};sre.AbstractionSpanish.getInstance().initializer=[sre.AbstractionSpanish.initAbstractionSpanish_];sre.ClearspeakRules=function(){sre.MathStore.call(this)};goog.inherits(sre.ClearspeakRules,sre.MathStore);goog.addSingletonGetter(sre.ClearspeakRules);sre.ClearspeakRules.mathStore=sre.ClearspeakRules.getInstance();sre.ClearspeakRules.defineRule_=goog.bind(sre.ClearspeakRules.mathStore.defineRule,sre.ClearspeakRules.mathStore);
-sre.ClearspeakRules.initClearspeakRules_=function(){(0,sre.ClearspeakRules.defineRule_)("fraction","mathspeak.clearspeak",'[t] "the fraction with numerator"; [n] children/*[1]; [p] (pause:300); [t] "and denominator"; [n] children/*[2]; [p] (pause:500)',"self::fraction");(0,sre.ClearspeakRules.defineRule_)("sqrt","mathspeak.clearspeak",'[t] "the square root of"; [n] children/*[1]; [p] (pause:500)',"self::sqrt")};sre.ClearspeakRules.getInstance().initializer=[sre.ClearspeakRules.initClearspeakRules_];sre.MathmlStoreUtil={};sre.MathmlStoreUtil.matchMathjaxToMathml=function(a){return sre.Engine.getInstance().alternativeHost.querySelector("#"+a.id)};sre.MathmlStoreUtil.retrieveMathjaxExtender=function(a){return(a=sre.MathmlStoreUtil.matchMathjaxToMathml(a))?[a]:[]};sre.MathmlStoreUtil.retrieveMathjaxLeaf=function(a){return(a=sre.MathmlStoreUtil.matchMathjaxToMathml(a))?[a]:[]};
-sre.MathmlStoreUtil.checkMathjaxTag=function(a,b){return(a=sre.MathmlStoreUtil.matchMathjaxToMathml(a))&&a.tagName.toUpperCase()==b?[a]:[]};sre.MathmlStoreUtil.checkMathjaxMunder=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MUNDER")};sre.MathmlStoreUtil.checkMathjaxMover=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MOVER")};sre.MathmlStoreUtil.checkMathjaxMsub=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MSUB")};
-sre.MathmlStoreUtil.checkMathjaxMsup=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MSUP")};sre.MathmlStoreUtil.mfencedSeparators=function(a,b){var c=sre.MathUtil.nextSeparatorFunction(b);return function(){return c?[sre.AuditoryDescription.create({text:c()},{translate:!0})]:[]}};
-sre.MathmlStoreUtil.contentIterator=function(a,b){var c=0<a.length?sre.XpathUtil.evalXPath("../../content/*",a[0]):[];return function(){var a=c.shift(),e=b?[sre.AuditoryDescription.create({text:b},{translate:!0})]:[];if(!a)return e;a=sre.SpeechRuleEngine.getInstance().evaluateNode(a);return e.concat(a)}};sre.StoreUtil={};sre.StoreUtil.nodeCounter=function(a,b){var c=a.length,d=0,e=b;b||(e="");return function(){d<c&&(d+=1);return e+" "+d}};sre.EmacspeakRules=function(){sre.MathStore.call(this)};goog.inherits(sre.EmacspeakRules,sre.MathStore);goog.addSingletonGetter(sre.EmacspeakRules);sre.EmacspeakRules.mathStore=sre.EmacspeakRules.getInstance();sre.EmacspeakRules.defineRule_=goog.bind(sre.EmacspeakRules.mathStore.defineRule,sre.EmacspeakRules.mathStore);sre.EmacspeakRules.defineRuleAlias_=goog.bind(sre.EmacspeakRules.mathStore.defineRuleAlias,sre.EmacspeakRules.mathStore);
-sre.EmacspeakRules.addContextFunction_=goog.bind(sre.EmacspeakRules.mathStore.contextFunctions.add,sre.EmacspeakRules.mathStore.contextFunctions);sre.EmacspeakRules.addCustomQuery_=goog.bind(sre.EmacspeakRules.mathStore.customQueries.add,sre.EmacspeakRules.mathStore.customQueries);sre.EmacspeakRules.addCustomString_=goog.bind(sre.EmacspeakRules.mathStore.customStrings.add,sre.EmacspeakRules.mathStore.customStrings);
-sre.EmacspeakRules.initCustomFunctions_=function(){(0,sre.EmacspeakRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.EmacspeakRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator);(0,sre.EmacspeakRules.addCustomQuery_)("CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction);(0,sre.EmacspeakRules.addCustomString_)("CSFvulgarFraction",sre.MathspeakUtil.vulgarFraction)};
-sre.EmacspeakRules.initSemanticRules_=function(){(0,sre.EmacspeakRules.defineRule_)("stree","emacspeak.default","[n] ./*[1]","self::stree");(0,sre.EmacspeakRules.defineRule_)("multrel","emacspeak.default",'[t] "multirelation"; [m] children/* (sepFunc:CTXFcontentIterator)',"self::multirel");(0,sre.EmacspeakRules.defineRule_)("variable-equality","emacspeak.default",'[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',
-"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.EmacspeakRules.defineRule_)("multi-equality","emacspeak.default",'[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");(0,sre.EmacspeakRules.defineRule_)("multi-equality","emacspeak.short",'[t] "equation sequence"; [m] children/* (sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");
-(0,sre.EmacspeakRules.defineRule_)("equality","emacspeak.default",'[t] "equation"; [t] "left hand side"; [n] children/*[1];[p] (pause:200); [n] content/*[1] (pause:200);[t] "right hand side"; [n] children/*[2]','self::relseq[@role="equality"]',"count(./children/*)=2");(0,sre.EmacspeakRules.defineRule_)("simple-equality","emacspeak.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/identifier or ./children/number");
-(0,sre.EmacspeakRules.defineRule_)("simple-equality2","emacspeak.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/function or ./children/appl");(0,sre.EmacspeakRules.defineRule_)("relseq","emacspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.EmacspeakRules.defineRule_)("implicit","emacspeak.default","[m] children/*","self::infixop",'@role="implicit"',
-'children/*[1][@role="latinletter"] or children/*[1][@role="greekletter"] or children/*[1][@role="otherletter"] or name(children/*[1])="number"','children/*[2][@role="latinletter"] or children/*[2][@role="greekletter"] or children/*[2][@role="otherletter"] or name(children/*[2])="number"');(0,sre.EmacspeakRules.defineRule_)("binary-operation","emacspeak.default","[p] (pause:100); [m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:100);","self::infixop");(0,sre.EmacspeakRules.defineRule_)("variable-addition",
-"emacspeak.default",'[t] "sum with variable number of summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator)','self::infixop[@role="addition"]',"count(children/*)>2",'children/punctuation[@role="ellipsis"]');(0,sre.EmacspeakRules.defineRule_)("prefix","emacspeak.default",'[t] "prefix"; [n] text(); [t] "of" (pause 150);[n] children/*[1]',"self::prefixop");(0,sre.EmacspeakRules.defineRule_)("negative","emacspeak.default",'[t] "negative"; [n] children/*[1]',"self::prefixop",'self::prefixop[@role="negative"]');
-(0,sre.EmacspeakRules.defineRule_)("postfix","emacspeak.default",'[n] children/*[1]; [t] "postfix"; [n] text() (pause 300)',"self::postfixop");(0,sre.EmacspeakRules.defineRule_)("identifier","emacspeak.default","[n] text()","self::identifier");(0,sre.EmacspeakRules.defineRule_)("number","emacspeak.default","[n] text()","self::number");(0,sre.EmacspeakRules.defineRule_)("font","mathspeak.default","[t] @font; [n] . (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))',
-'@font!="normal"');(0,sre.EmacspeakRules.defineRule_)("font-identifier-short","emacspeak.default","[t] @font; [n] CQFhideFont; [t] CSFshowFont","self::identifier","string-length(text())=1","@font",'@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")',
-'@role!="unit"');(0,sre.EmacspeakRules.defineRule_)("font-identifier","mathspeak.default","[t] @font; [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.EmacspeakRules.defineRule_)("omit-font","mathspeak.default","[n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.EmacspeakRules.defineRule_)("simple-fraction",
-"emacspeak.default",'[p] (pause:100); [n] children/*[1] (rate:0.35); [t] "over";  [n] children/*[2] (rate:-0.35); [p] (pause:100)',"self::fraction",'name(children/*[1])="number" or name(children/*[1])="identifier"','name(children/*[2])="number" or name(children/*[2])="identifier"');(0,sre.EmacspeakRules.defineRule_)("vulgar-fraction","emacspeak.default","[t] CSFvulgarFraction","self::fraction",'@role="vulgar"',"CQFvulgarFractionSmall");(0,sre.EmacspeakRules.defineRule_)("fraction","emacspeak.default",
-'[p] (pause:250); [n] children/*[1] (rate:0.35); [p] (pause:250); [t] "divided by"; [p] (pause:250);  [n] children/*[2] (rate:-0.35); [p] (pause:250)',"self::fraction");(0,sre.EmacspeakRules.defineRule_)("superscript","emacspeak.default",'[n] children/*[1]; [t] "super"; [n] children/*[2] (pitch:0.35);[p] (pause:300)',"self::superscript");(0,sre.EmacspeakRules.defineRule_)("subscript","emacspeak.default",'[n] children/*[1]; [t] "sub"; [n] children/*[2] (pitch:-0.35);[p] (pause:300)',"self::subscript");
-(0,sre.EmacspeakRules.defineRule_)("ellipsis","emacspeak.default",'[p] (pause:200); [t] "ellipsis"; [p] (pause:300)',"self::punctuation",'self::punctuation[@role="ellipsis"]');(0,sre.EmacspeakRules.defineRule_)("fence-single","emacspeak.default","[n] text()","self::punctuation",'self::punctuation[@role="openfence"]');(0,sre.EmacspeakRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="closefence"]');(0,sre.EmacspeakRules.defineRuleAlias_)("fence-single","self::punctuation",
-'self::punctuation[@role="vbar"]');(0,sre.EmacspeakRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="application"]');(0,sre.EmacspeakRules.defineRule_)("omit-empty","emacspeak.default","[p] (pause:100)","self::empty");(0,sre.EmacspeakRules.defineRule_)("fences-open-close","emacspeak.default","[p] (pause:200); [n] children/*[1] (rate:0.35); [p] (pause:200)","self::fenced",'@role="leftright"');(0,sre.EmacspeakRules.defineRule_)("fences-open-close-in-appl","emacspeak.default",
-"[p] (pause:200); [n] children/*[1]; [p] (pause:200);",'self::fenced[@role="leftright"]',"./parent::children/parent::appl");(0,sre.EmacspeakRules.defineRule_)("fences-neutral","emacspeak.default",'[p] (pause:100); [t] "absolute value of"; [n] children/*[1];[p] (pause:350);',"self::fenced",'self::fenced[@role="neutral"]');(0,sre.EmacspeakRules.defineRule_)("omit-fences","emacspeak.default","[p] (pause:500); [n] children/*[1]; [p] (pause:200);","self::fenced");(0,sre.EmacspeakRules.defineRule_)("matrix",
-"emacspeak.default",'[t] "matrix"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::matrix");(0,sre.EmacspeakRules.defineRule_)("matrix-row","emacspeak.default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)','self::row[@role="matrix"]');(0,sre.EmacspeakRules.defineRule_)("matrix-cell","emacspeak.default","[n] children/*[1]",'self::cell[@role="matrix"]');(0,sre.EmacspeakRules.defineRule_)("vector","emacspeak.default",'[t] "vector"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"element",pause:100)',
-"self::vector");(0,sre.EmacspeakRules.defineRule_)("cases","emacspeak.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100)',"self::cases");(0,sre.EmacspeakRules.defineRule_)("cases-row","emacspeak.default","[m] children/*",'self::row[@role="cases"]');(0,sre.EmacspeakRules.defineRule_)("cases-cell","emacspeak.default","[n] children/*[1]",'self::cell[@role="cases"]');(0,sre.EmacspeakRules.defineRule_)("row","emacspeak.default",'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',
-"self::row");(0,sre.EmacspeakRules.defineRule_)("cases-end","emacspeak.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100);[t] "end cases"',"self::cases","following-sibling::*");(0,sre.EmacspeakRules.defineRule_)("multiline","emacspeak.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"line",pause:100)',"self::multiline");(0,sre.EmacspeakRules.defineRule_)("line","emacspeak.default","[m] children/*","self::line");(0,sre.EmacspeakRules.defineRule_)("table",
-"emacspeak.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table");(0,sre.EmacspeakRules.defineRule_)("table-row","emacspeak.default","[m] children/* (pause:100)",'self::row[@role="table"]');(0,sre.EmacspeakRules.defineRuleAlias_)("cases-cell",'self::cell[@role="table"]');(0,sre.EmacspeakRules.defineRule_)("end-punct","emacspeak.default","[m] children/*; [p] (pause:300)","self::punctuated",'@role="endpunct"');(0,sre.EmacspeakRules.defineRule_)("start-punct",
-"emacspeak.default","[n] content/*[1]; [p] (pause:200); [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.EmacspeakRules.defineRule_)("integral-punct","emacspeak.default","[n] children/*[1] (rate:0.2); [n] children/*[3] (rate:0.2)","self::punctuated",'@role="integral"');(0,sre.EmacspeakRules.defineRule_)("punctuated","emacspeak.default","[m] children/* (pause:100)","self::punctuated");(0,sre.EmacspeakRules.defineRule_)("function","emacspeak.default","[n] text()","self::function");
-(0,sre.EmacspeakRules.defineRule_)("appl","emacspeak.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::appl");(0,sre.EmacspeakRules.defineRule_)("sum-only","emacspeak.default",'[n] children/*[1]; [t] "from"; [n] children/*[2]; [t] "to";[n] children/*[3]',"self::limboth",'@role="sum" or @role="integral"');(0,sre.EmacspeakRules.defineRule_)("limboth","emacspeak.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[t] "under"; [n] children/*[3]; [p] (pause 250);',
-"self::limboth");(0,sre.EmacspeakRules.defineRule_)("limlower","emacspeak.default",'[n] children/*[1]; [t] "over"; [n] children/*[2];',"self::limlower");(0,sre.EmacspeakRules.defineRule_)("limupper","emacspeak.default",'[n] children/*[1]; [t] "under"; [n] children/*[2];',"self::limupper");(0,sre.EmacspeakRules.defineRule_)("largeop","emacspeak.default","[n] text()","self::largeop");(0,sre.EmacspeakRules.defineRule_)("bigop","emacspeak.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[p] (pause 250);',
-"self::bigop");(0,sre.EmacspeakRules.defineRule_)("integral","emacspeak.default","[n] children/*[1]; [p] (pause 100); [n] children/*[2];[p] (pause 200); [n] children/*[3] (rate:0.35);","self::integral");(0,sre.EmacspeakRules.defineRule_)("sqrt","emacspeak.default",'[t] "Square root of"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::sqrt");(0,sre.EmacspeakRules.defineRule_)("square","emacspeak.default",'[n] children/*[1]; [t] "squared" (pitch:0.35); [p] (pause:200)',"self::superscript","children/*[2][text()=2]",
-'name(./children/*[1])!="text"');(0,sre.EmacspeakRules.defineRule_)("cube","emacspeak.default",'[n] children/*[1]; [t] "cubed" (pitch:0.35); [p] (pause:200)',"self::superscript","children/*[2][text()=3]",'name(./children/*[1])!="text"');(0,sre.EmacspeakRules.defineRule_)("root","emacspeak.default",'[t] "root of order"; [n] children/*[1];[t] "over"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::root");(0,sre.EmacspeakRules.defineRule_)("text-no-mult","emacspeak.default","[n] children/*[1]; [p] (pause:200); [n] children/*[2]",
-"self::infixop","children/text");(0,sre.EmacspeakRules.defineRule_)("text","emacspeak.default","[n] text(); [p] (pause:200)","self::text");(0,sre.EmacspeakRules.defineRule_)("unit","emacspeak.default","[t] text() (annotation:unit, preprocess)","self::identifier",'@role="unit"');(0,sre.EmacspeakRules.defineRule_)("unit-square","emacspeak.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.EmacspeakRules.defineRule_)("unit-cubic",
-"emacspeak.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.EmacspeakRules.defineRule_)("reciprocal","emacspeak.default",'[t] "reciprocal"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');
-(0,sre.EmacspeakRules.defineRule_)("reciprocal","emacspeak.default",'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'preceding-sibling::*[@role="unit"]');(0,sre.EmacspeakRules.defineRule_)("unit-combine","emacspeak.default","[m] children/*","self::infixop",'@role="unit"');(0,sre.EmacspeakRules.defineRule_)("unit-divide","emacspeak.default",
-'[n] children/*[1] (pitch:0.3); [t] "per"; [n] children/*[2] (pitch:-0.3)',"self::fraction",'@role="unit"')};sre.EmacspeakRules.getInstance().initializer=[sre.EmacspeakRules.initCustomFunctions_,sre.EmacspeakRules.initSemanticRules_];sre.MathmlStore=function(){sre.MathStore.call(this)};goog.inherits(sre.MathmlStore,sre.MathStore);goog.addSingletonGetter(sre.MathmlStore);sre.MathmlStore.prototype.defineMathmlRule=function(a,b,c){this.defineRule(a,b,c,"self::mathml:"+a)};sre.MathmlStore.prototype.defineDefaultMathmlRule=function(a,b){this.defineRule(a,"default.default",b,"self::mathml:"+a)};sre.MathmlStoreRules=function(){sre.MathmlStore.call(this)};goog.inherits(sre.MathmlStoreRules,sre.MathmlStore);goog.addSingletonGetter(sre.MathmlStoreRules);sre.MathmlStoreRules.mathStore=sre.MathmlStoreRules.getInstance();sre.MathmlStoreRules.defineDefaultMathmlRule_=goog.bind(sre.MathmlStoreRules.mathStore.defineDefaultMathmlRule,sre.MathmlStoreRules.mathStore);sre.MathmlStoreRules.defineRule_=goog.bind(sre.MathmlStoreRules.mathStore.defineRule,sre.MathmlStoreRules.mathStore);
-sre.MathmlStoreRules.defineRuleAlias_=goog.bind(sre.MathmlStoreRules.mathStore.defineRuleAlias,sre.MathmlStoreRules.mathStore);sre.MathmlStoreRules.addContextFunction_=goog.bind(sre.MathmlStoreRules.mathStore.contextFunctions.add,sre.MathmlStoreRules.mathStore.contextFunctions);sre.MathmlStoreRules.addCustomQuery_=goog.bind(sre.MathmlStoreRules.mathStore.customQueries.add,sre.MathmlStoreRules.mathStore.customQueries);
-sre.MathmlStoreRules.initCustomFunctions_=function(){(0,sre.MathmlStoreRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.MathmlStoreRules.addContextFunction_)("CTXFmfSeparators",sre.MathmlStoreUtil.mfencedSeparators);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFextender",sre.MathmlStoreUtil.retrieveMathjaxExtender);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmunder",sre.MathmlStoreUtil.checkMathjaxMunder);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmover",
-sre.MathmlStoreUtil.checkMathjaxMover);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmsub",sre.MathmlStoreUtil.checkMathjaxMsub);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmsup",sre.MathmlStoreUtil.checkMathjaxMsup);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFlookupleaf",sre.MathmlStoreUtil.retrieveMathjaxLeaf)};
-sre.MathmlStoreRules.initDefaultRules_=function(){(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("math","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("semantics","[n] ./*[1]");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mspace","[p] (pause:250)");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mstyle","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mpadded","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("merror","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mphantom",
-"[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mtext","[t] text(); [p] (pause:200)");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mi","[n] text()");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mo","[n] text() (rate:-0.1)");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mn","[n] text()");(0,sre.MathmlStoreRules.defineRule_)("mtext-variant","default.default",'[t] "begin"; [t] @mathvariant (pause:150);[t] text() (pause:150); [t] "end"; [t] @mathvariant (pause:200)',"self::mathml:mtext",
-"@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineRule_)("mi-variant","default.default","[t] @mathvariant; [n] text()","self::mathml:mi","@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineRuleAlias_)("mi-variant","self::mathml:mn","@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineRule_)("mo-variant","default.default","[t] @mathvariant; [n] text() (rate:-0.1)","self::mathml:mo","@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("ms",
-'[t] "string" (pitch:0.5, rate:0.5); [t] text()');(0,sre.MathmlStoreRules.defineRule_)("unit","default.default",'[t] text() (grammar:annotation="unit":translate)',"self::mathml:mi",'@class="MathML-Unit"');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msup",'[n] ./*[1]; [t] "super";[n] ./*[2] (pitch:0.35); [p] (pause:300)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msubsup",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "super"; [n] ./*[3] (pitch:0.35); [p] (pause:300)');
-(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msub",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:300)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mover",'[n] ./*[2] (pitch:0.35); [p] (pause:200); [t] "over"; [n] ./*[1]; [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("munder",'[n] ./*[2] (pitch:-0.35); [t] "under"; [n] ./*[1]; [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("munderover",'[n] ./*[2] (pitch:-0.35); [t] "under and"; [n] ./*[3] (pitch:0.35); [t] "over"; [n] ./*[1]; [p] (pause:400)');
-(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mrow","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msqrt",'[t] "Square root of"; [m] ./* (rate:0.2); [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mroot",'[t] "root of order"; [n] ./*[2]; [t] "of";[n] ./*[1] (rate:0.2); [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mfrac",' [p] (pause:400); [n] ./*[1] (pitch:0.3); [t] "divided by"; [n] ./*[2] (pitch:-0.3); [p] (pause:400)');(0,sre.MathmlStoreRules.defineRule_)("mfrac",
-"default.short",'[p] (pause:200); [t] "start frac";[n] ./*[1] (pitch:0.3); [t] "over"; [n] ./*[2] (pitch:-0.3); [p] (pause:400); [t] "end frac"',"self::mathml:mfrac");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default","[n] @open; [m] ./* (separator:@separators); [n] @close","self::mathml:mfenced","@open","@close","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:@separators); [n] @close',
-"self::mathml:mfenced","not(@open)","@close","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced","not(@open)","not(@close)","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default",'[n] @open; [m] ./* (separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced",
-"@open","not(@close)","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default","[n] @open; [m] ./*; [n] @close","self::mathml:mfenced","@separators","@open","@close",'string(@separators)="" or string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[t] "(" (grammar:translate); [m] ./*; [n] @close',"self::mathml:mfenced","@separators","not(@open)","@close",'string(@separators)="" or string(@separators)=" "');
-(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[n] @open; [m] ./*; [t] ")" (grammar:translate)',"self::mathml:mfenced","@separators","@open","not(@close)",'string(@separators)="" or string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[t] "(" (grammar:translate); [m] ./*; [t] ")" (grammar:translate)',"self::mathml:mfenced","@separators","not(@open)","not(@close)",'string(@separators)="" or string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma",
-"default.default",'[n] @open; [m] ./* (separator:"comma"); [n] @close',"self::mathml:mfenced","@open","@close","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:"comma"); [n] @close',"self::mathml:mfenced","not(@open)","@close","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[n] @open; [m] ./* (separator:"comma"); [t] ")" (grammar:translate)',"self::mathml:mfenced",
-"@open","not(@close)","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:"comma"); [t] ")" (grammar:translate)',"self::mathml:mfenced","not(@open)","not(@close)","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default","[n] @open; [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [n] @close","self::mathml:mfenced","@open","@close","string-length(string(@separators))>1");
-(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[t] "(" (grammar:translate); [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [n] @close',"self::mathml:mfenced","not(@open)","@close","string-length(string(@separators))>1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[n] @open; [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced","@open","not(@close)","string-length(string(@separators))>1");
-(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[t] "(" (grammar:translate); [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced","not(@open)","not(@close)","string-length(string(@separators))>1");(0,sre.MathmlStoreRules.defineRule_)("mtable","default.default",'[t] "matrix"; [m] ./* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::mathml:mtable");(0,sre.MathmlStoreRules.defineRule_)("mtr","default.default",
-'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',"self::mathml:mtr");(0,sre.MathmlStoreRules.defineRule_)("mtd","default.default","[m] ./*","self::mathml:mtd");(0,sre.MathmlStoreRules.defineRule_)("mtable","default.superbrief",'[t] count(child::mathml:mtr);  [t] "by";[t] count(child::mathml:mtr[1]/mathml:mtd); [t] "matrix";',"self::mathml:mtable");(0,sre.MathmlStoreRules.defineRule_)("mtable","default.short",'[t] "matrix"; [m] ./*',"self::mathml:mtable");(0,sre.MathmlStoreRules.defineRule_)("mtr",
-"default.short","[m] ./*","self::mathml:mtr");(0,sre.MathmlStoreRules.defineRule_)("mtd","default.short",'[t] "Element"; [t] count(./preceding-sibling::mathml:mtd)+1;[t] count(./parent::mathml:mtr/preceding-sibling::mathml:mtr)+1;[p] (pause:500); [m] ./*',"self::mathml:mtd");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-4","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',
-"self::mathml:mmultiscripts");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-1","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-2","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);',
-"self::mathml:mmultiscripts","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-3","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[5]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-4",
-"default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[6]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-2-1","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:300);',
-"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-1-1","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]","./mathml:none=./*[5]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-1-2","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);',
-"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]","./mathml:none=./*[6]")};
-sre.MathmlStoreRules.initMathjaxRules_=function(){(0,sre.MathmlStoreRules.defineRule_)("mj-math","default.default","[n] ./*[1]/*[1]/*[1]",'self::span[@class="math"]');(0,sre.MathmlStoreRules.defineRule_)("mj-leaf","default.default","[n] CQFlookupleaf",'self::span[@class="mi"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mo"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mn"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mtext"]');
-(0,sre.MathmlStoreRules.defineRule_)("mj-mo-ext","default.default","[n] CQFextender",'self::span[@class="mo"]',"./*[1]/*[1]/text()","./*[1]/*[2]/text()");(0,sre.MathmlStoreRules.defineRule_)("mj-texatom","default.default","[n] ./*[1]",'self::span[@class="texatom"]');(0,sre.MathmlStoreRules.defineRule_)("mj-msubsup","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub"; [n] ./*[1]/*[3]/*[1] (pitch:-0.35);[p] (pause:200); [t] "super"; [n] ./*[1]/*[2]/*[1] (pitch:0.35);[p] (pause:300)','self::span[@class="msubsup"]');
-(0,sre.MathmlStoreRules.defineRule_)("mj-msub","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub";[n] ./*[1]/*[2]/*[1] (pitch:-0.35); [p] (pause:300)','self::span[@class="msub"]');(0,sre.MathmlStoreRules.defineRule_)("mj-msup","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "super";[n] ./*[1]/*[2]/*[1] (pitch:0.35); [p] (pause:300)','self::span[@class="msup"]');(0,sre.MathmlStoreRules.defineRule_)("mj-munderover","default.default",'[n] ./*[1]/*[2]/*[1] (pitch:0.35); [t] "under and";[n] ./*[1]/*[3]/*[1] (pitch:-0.35); [t] "over";[n] ./*[1]/*[1]/*[1]; [p] (pause:400)',
-'self::span[@class="munderover"]');(0,sre.MathmlStoreRules.defineRule_)("mj-munder","default.default",'[n] ./*[1]/*[2]/*[1] (pitch:0.35); [t] "under";[n] ./*[1]/*[1]/*[1]; [p] (pause:400)','self::span[@class="munder"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mover","default.default",'[n] ./*[1]/*[2]/*[1] (pitch:0.35); [t] "over";[n] ./*[1]/*[1]/*[1]; [p] (pause:400)','self::span[@class="mover"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mfrac","default.default",'[p] (pause:250); [n] ./*[1]/*[1]/*[1] (pitch:0.3); [p] (pause:250); [t] "divided by"; [n] ./*[1]/*[2]/*[1] (pitch:-0.3);[p] (pause:400)',
-'self::span[@class="mfrac"]');(0,sre.MathmlStoreRules.defineRule_)("mj-msqrt","default.default",'[t] "Square root of";[n] ./*[1]/*[1]/*[1] (rate:0.2); [p] (pause:400)','self::span[@class="msqrt"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mroot","default.default",'[t] "root of order"; [n] ./*[1]/*[4]/*[1]; [t] "of";[n] ./*[1]/*[1]/*[1] (rate:0.2); [p] (pause:400)','self::span[@class="mroot"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mfenced","default.default",'[t] "opening"; [n] ./*[1]; [m] ./*[position()>1 and position()<last()]; [t] "closing"; [n] ./*[last()]',
-'self::span[@class="mfenced"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mtable"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mmultiscripts"]')};
-sre.MathmlStoreRules.initAliases_=function(){(0,sre.MathmlStoreRules.defineRuleAlias_)("mspace",'self::span[@class="mspace"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mstyle",'self::span[@class="mstyle"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mpadded",'self::span[@class="mpadded"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("merror",'self::span[@class="merror"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mphantom",'self::span[@class="mphantom"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("ms",
-'self::span[@class="ms"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mrow",'self::span[@class="mrow"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-msub",'self::span[@class="msubsup"]',"CQFmathmlmsub");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-msup",'self::span[@class="msubsup"]',"CQFmathmlmsup");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-munder",'self::span[@class="munderover"]',"CQFmathmlmunder");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-mover",'self::span[@class="munderover"]',"CQFmathmlmover")};
-sre.MathmlStoreRules.initSpecializationRules_=function(){(0,sre.MathmlStoreRules.defineRule_)("square","default.default",'[n] ./*[1]; [t] "square" (pitch:0.35); [p] (pause:300)',"self::mathml:msup","./*[2][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("square","self::mathml:msup","./mathml:mrow=./*[2]","count(./*[2]/*)=1","./*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRule_)("cube","default.default",'[n] ./*[1]; [t] "cube" (pitch:0.35); [p] (pause:300)',"self::mathml:msup","./*[2][text()=3]");
-(0,sre.MathmlStoreRules.defineRuleAlias_)("cube","self::mathml:msup","./mathml:mrow=./*[2]","count(./*[2]/*)=1","./*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRule_)("square-sub","default.default",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35);[p] (pause:300); [t] "square" (pitch:0.35); [p] (pause:400)',"self::mathml:msubsup","./*[3][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("square-sub","self::mathml:msubsup","./mathml:mrow=./*[3]","count(./*[3]/*)=1","./*[3]/*[1][text()=2]");
-(0,sre.MathmlStoreRules.defineRule_)("cube-sub","default.default",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35);[p] (pause:300); [t] "cube" (pitch:0.35); [p] (pause:400)',"self::mathml:msubsup","./*[3][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("cube-sub","self::mathml:msubsup","./mathml:mrow=./*[3]","count(./*[3]/*)=1","./*[3]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRule_)("mj-square","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "square" (pitch:0.35); [p] (pause:300)','self::span[@class="msup"]',
-"./*[1]/*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square",'self::span[@class="msup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square",'self::span[@class="msubsup"]',"CQFmathmlmsup","./*[1]/*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square",'self::span[@class="msubsup"]',"CQFmathmlmsup",'./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',
-"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRule_)("mj-cube","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "cube" (pitch:0.35); [p] (pause:300)','self::span[@class="msup"]',"./*[1]/*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube",'self::span[@class="msup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube",
-'self::span[@class="msubsup"]',"CQFmathmlmsup","./*[1]/*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube",'self::span[@class="msubsup"]',"CQFmathmlmsup",'./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRule_)("mj-square-sub","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub"; [n] ./*[1]/*[3]/*[1] (pitch:-0.35); [p] (pause:300); [t] "square" (pitch:0.35); [p] (pause:400)','self::span[@class="msubsup"]',
-"./*[1]/*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square-sub",'self::span[@class="msubsup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRule_)("mj-cube-sub","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub"; [n] ./*[1]/*[3]/*[1] (pitch:-0.35); [p] (pause:300); [t] "cube" (pitch:0.35); [p] (pause:400)','self::span[@class="msubsup"]',"./*[1]/*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube-sub",
-'self::span[@class="msubsup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=3]")};sre.MathmlStoreRules.getInstance().initializer=[sre.MathmlStoreRules.initCustomFunctions_,sre.MathmlStoreRules.initDefaultRules_,sre.MathmlStoreRules.initMathjaxRules_,sre.MathmlStoreRules.initAliases_,sre.MathmlStoreRules.initSpecializationRules_];sre.MathspeakRules=function(){sre.MathStore.call(this)};goog.inherits(sre.MathspeakRules,sre.MathStore);goog.addSingletonGetter(sre.MathspeakRules);sre.MathspeakRules.mathStore=sre.MathspeakRules.getInstance();sre.MathspeakRules.defineRule_=goog.bind(sre.MathspeakRules.mathStore.defineRule,sre.MathspeakRules.mathStore);sre.MathspeakRules.defineRuleAlias_=goog.bind(sre.MathspeakRules.mathStore.defineRulesAlias,sre.MathspeakRules.mathStore);
-sre.MathspeakRules.defineSpecialisedRule_=goog.bind(sre.MathspeakRules.mathStore.defineSpecialisedRule,sre.MathspeakRules.mathStore);sre.MathspeakRules.addContextFunction_=goog.bind(sre.MathspeakRules.mathStore.contextFunctions.add,sre.MathspeakRules.mathStore.contextFunctions);sre.MathspeakRules.addCustomQuery_=goog.bind(sre.MathspeakRules.mathStore.customQueries.add,sre.MathspeakRules.mathStore.customQueries);
-sre.MathspeakRules.addCustomString_=goog.bind(sre.MathspeakRules.mathStore.customStrings.add,sre.MathspeakRules.mathStore.customStrings);
-sre.MathspeakRules.initCustomFunctions_=function(){(0,sre.MathspeakRules.addCustomQuery_)("CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber);(0,sre.MathspeakRules.addCustomQuery_)("CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier);(0,sre.MathspeakRules.addCustomString_)("CSFspaceoutText",sre.MathspeakUtil.spaceoutText);(0,sre.MathspeakRules.addCustomString_)("CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFcloseFracVerbose",sre.MathspeakUtil.closingFractionVerbose);
-(0,sre.MathspeakRules.addCustomString_)("CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief);(0,sre.MathspeakRules.addCustomString_)("CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief);(0,sre.MathspeakRules.addCustomString_)("CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief);(0,sre.MathspeakRules.addCustomString_)("CSFcloseFracSbrief",sre.MathspeakUtil.closingFractionSbrief);
-(0,sre.MathspeakRules.addCustomString_)("CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief);(0,sre.MathspeakRules.addCustomString_)("CSFvulgarFraction",sre.MathspeakUtil.vulgarFraction);(0,sre.MathspeakRules.addCustomQuery_)("CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction);(0,sre.MathspeakRules.addCustomString_)("CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFcloseRadicalVerbose",sre.MathspeakUtil.closingRadicalVerbose);
-(0,sre.MathspeakRules.addCustomString_)("CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFopenRadicalBrief",sre.MathspeakUtil.openingRadicalBrief);(0,sre.MathspeakRules.addCustomString_)("CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief);(0,sre.MathspeakRules.addCustomString_)("CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief);(0,sre.MathspeakRules.addCustomString_)("CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief);
-(0,sre.MathspeakRules.addCustomString_)("CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief);(0,sre.MathspeakRules.addCustomString_)("CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief);(0,sre.MathspeakRules.addCustomString_)("CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief);(0,sre.MathspeakRules.addCustomString_)("CSFbaselineVerbose",
-sre.MathspeakUtil.baselineVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFbaselineBrief",sre.MathspeakUtil.baselineBrief);(0,sre.MathspeakRules.addCustomString_)("CSFunderscript",sre.MathspeakUtil.nestedUnderscore);(0,sre.MathspeakRules.addCustomString_)("CSFoverscript",sre.MathspeakUtil.nestedOverscore);(0,sre.MathspeakRules.addContextFunction_)("CTXFordinalCounter",sre.MathspeakUtil.ordinalCounter);(0,sre.MathspeakRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator);
-(0,sre.MathspeakRules.addCustomQuery_)("CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple);(0,sre.MathspeakRules.addCustomString_)("CSFRemoveParens",sre.MathspeakUtil.removeParens);(0,sre.MathspeakRules.addCustomQuery_)("CQFresetNesting",sre.MathspeakUtil.resetNestingDepth)};
-sre.MathspeakRules.initMathspeakRules_=function(){(0,sre.MathspeakRules.defineRule_)("stree","mathspeak.default","[n] ./*[1]","self::stree","CQFresetNesting");(0,sre.MathspeakRules.defineRule_)("unknown","mathspeak.default","[n] text()","self::unknown");(0,sre.MathspeakRules.defineRule_)("protected","mathspeak.default","[t] text()","self::*",'@role="protected"');(0,sre.MathspeakRules.defineRule_)("omit-empty","mathspeak.default","[p] (pause:100)","self::empty");(0,sre.MathspeakRules.defineRule_)("blank-empty",
-"mathspeak.default",'[t] "Blank"',"self::empty","count(../*)=1",'name(../..)="cell" or name(../..)="line"');(0,sre.MathspeakRules.defineRule_)("font","mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"');(0,sre.MathspeakRules.defineRule_)("font-identifier-short","mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1",
-"@font",'not(contains(@grammar, "ignoreFont"))','@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")','@role!="unit"');(0,sre.MathspeakRules.defineRule_)("font-identifier",
-"mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.MathspeakRules.defineRule_)("omit-font","mathspeak.default","[n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.MathspeakRules.defineRule_)("german-font","mathspeak.default",'[t] "German"; [n] . (grammar:ignoreFont=@font)',
-"self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font="fraktur"');(0,sre.MathspeakRules.defineRule_)("german-font","mathspeak.default",'[t] "bold German"; [n] . (grammar:ignoreFont=@font)',"self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font="bold-fraktur"');(0,sre.MathspeakRules.defineRule_)("number","mathspeak.default","[n] text()","self::number");(0,sre.MathspeakRules.defineRule_)("mixed-number","mathspeak.default",'[n] children/*[1]; [t] "and"; [n] children/*[2]; ',"self::number",
-'@role="mixed"');(0,sre.MathspeakRules.defineRule_)("number-with-chars","mathspeak.default",'[t] "Number"; [m] CQFspaceoutNumber',"self::number",'"" != translate(text(), "0123456789.,", "")','text() != translate(text(), "0123456789.,", "")');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-with-chars","mathspeak.default","mathspeak.brief",'[t] "Num"; [m] CQFspaceoutNumber');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-with-chars","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("number-as-upper-word",
-"mathspeak.default",'[t] "UpperWord"; [t] CSFspaceoutText',"self::number","string-length(text())>1",'text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9")','""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")');
-(0,sre.MathspeakRules.defineRule_)("number-baseline","mathspeak.default",'[t] "Baseline"; [n] text()',"self::number",'not(contains(@grammar, "ignoreFont"))',"preceding-sibling::identifier",'preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline","mathspeak.default","mathspeak.brief",'[t] "Base"; [n] text()');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("number-baseline-font","mathspeak.default",'[t] "Baseline"; [t] @font; [n] . (grammar:ignoreFont=@font)',"self::number","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"',"preceding-sibling::identifier",'preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline-font","mathspeak.default",
-"mathspeak.brief",'[t] "Base"; [n] text()');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline-font","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("identifier","mathspeak.default","[m] CQFspaceoutIdentifier","self::identifier","string-length(text())>1",'@role!="unit"','@role!="protected"','not(@font) or @font="normal" or contains(@grammar, "ignoreFont")');(0,sre.MathspeakRules.defineRule_)("identifier","mathspeak.default","[n] text()","self::identifier",'@role="protected"');
-(0,sre.MathspeakRules.defineRule_)("negative","mathspeak.default",'[t] "negative"; [n] children/*[1]',"self::prefixop",'@role="negative"',"children/identifier");(0,sre.MathspeakRules.defineRuleAlias_)("negative","self::prefixop",'@role="negative"',"children/number");(0,sre.MathspeakRules.defineRuleAlias_)("negative","self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]');(0,sre.MathspeakRules.defineRule_)("negative","mathspeak.default",'[t] "minus"; [n] children/*[1]',"self::prefixop",
-'@role="negative"');(0,sre.MathspeakRules.defineRule_)("prefix","mathspeak.default","[n] text(); [n] children/*[1]","self::prefixop");(0,sre.MathspeakRules.defineRule_)("postfix","mathspeak.default","[n] children/*[1]; [n] text()","self::postfixop");(0,sre.MathspeakRules.defineRule_)("binary-operation","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop");(0,sre.MathspeakRules.defineRule_)("implicit","mathspeak.default","[m] children/*","self::infixop",'@role="implicit"');
-(0,sre.MathspeakRules.defineRuleAlias_)("implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"');(0,sre.MathspeakRules.defineRule_)("subtraction","mathspeak.default",'[m] children/* (separator:"minus");',"self::infixop",'@role="subtraction"');(0,sre.MathspeakRules.defineRule_)("function-unknown","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::appl");(0,sre.MathspeakRules.defineRule_)("function-prefix","mathspeak.default","[n] children/*[1]; [n] children/*[2]",
-"self::appl",'children/*[1][@role="prefix function"]');(0,sre.MathspeakRules.defineRule_)("fences-open-close","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced",'@role="leftright"');(0,sre.MathspeakRules.defineRule_)("fences-neutral","mathspeak.default",'[t] "StartAbsoluteValue"; [n] children/*[1]; [t] "EndAbsoluteValue"',"self::fenced",'@role="neutral"','content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"');(0,sre.MathspeakRules.defineSpecialisedRule_)("fences-neutral",
-"mathspeak.default","mathspeak.sbrief",'[t] "AbsoluteValue"; [n] children/*[1]; [t] "EndAbsoluteValue"');(0,sre.MathspeakRules.defineRule_)("fences-neutral","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced",'@role="neutral"');(0,sre.MathspeakRules.defineRule_)("fences-set","mathspeak.default",'[t] "StartSet"; [n] children/*[1]; [t] "EndSet"',"self::fenced",'@role="leftright"','content/*[1][text()]="{"','content/*[2][text()]="}"',"count(children/*)=1",'not(name(../..)="appl")');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("fences-set","mathspeak.default","mathspeak.sbrief",'[t] "Set"; [n] children/*[1]; [t] "EndSet"');(0,sre.MathspeakRules.defineRule_)("text","mathspeak.default","[n] text()","self::text");(0,sre.MathspeakRules.defineRule_)("factorial","mathspeak.default",'[t] "factorial"',"self::punctuation",'text()="!"','name(preceding-sibling::*[1])!="text"');(0,sre.MathspeakRules.defineRule_)("minus","mathspeak.default",'[t] "minus"',"self::operator",'text()="-"');(0,sre.MathspeakRules.defineRule_)("single-prime",
-"mathspeak.default",'[t] "prime"',"self::punctuated",'@role="prime"',"count(children/*)=1");(0,sre.MathspeakRules.defineRule_)("double-prime","mathspeak.default",'[t] "double-prime"',"self::punctuated",'@role="prime"',"count(children/*)=2");(0,sre.MathspeakRules.defineRule_)("triple-prime","mathspeak.default",'[t] "triple-prime"',"self::punctuated",'@role="prime"',"count(children/*)=3");(0,sre.MathspeakRules.defineRule_)("quadruple-prime","mathspeak.default",'[t] "quadruple-prime"',"self::punctuated",
-'@role="prime"',"count(children/*)=4");(0,sre.MathspeakRules.defineRule_)("counted-prime","mathspeak.default",'[t] count(children/*); [t] "prime"',"self::punctuated",'@role="prime"');(0,sre.MathspeakRules.defineRule_)("fraction","mathspeak.default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction");(0,sre.MathspeakRules.defineRule_)("fraction","mathspeak.brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief",
-"self::fraction");(0,sre.MathspeakRules.defineRule_)("fraction","mathspeak.sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief","self::fraction");(0,sre.MathspeakRules.defineRule_)("vulgar-fraction","mathspeak.default","[t] CSFvulgarFraction","self::fraction",'@role="vulgar"',"CQFvulgarFractionSmall");(0,sre.MathspeakRules.defineSpecialisedRule_)("vulgar-fraction","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("vulgar-fraction",
-"mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("continued-fraction-outer","mathspeak.default",'[t] "ContinuedFraction"; [n] children/*[1];[t] "Over"; [n] children/*[2]',"self::fraction","not(ancestor::fraction)",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-outer","mathspeak.default","mathspeak.brief",'[t] "ContinuedFrac"; [n] children/*[1];[t] "Over"; [n] children/*[2]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-outer","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("continued-fraction-inner","mathspeak.default",'[t] "StartFraction"; [n] children/*[1];[t] "Over"; [n] children/*[2]',"self::fraction","ancestor::fraction",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.default","mathspeak.brief",'[t] "StartFrac"; [n] children/*[1];[t] "Over"; [n] children/*[2]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.brief","mathspeak.sbrief",'[t] "Frac"; [n] children/*[1];[t] "Over"; [n] children/*[2]');(0,sre.MathspeakRules.defineRule_)("sqrt","mathspeak.default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt");(0,sre.MathspeakRules.defineRule_)("sqrt","mathspeak.brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakRules.defineRule_)("sqrt",
-"mathspeak.sbrief","[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakRules.defineRule_)("root","mathspeak.default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root");(0,sre.MathspeakRules.defineRule_)("root","mathspeak.brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");(0,sre.MathspeakRules.defineRule_)("root",
-"mathspeak.sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");(0,sre.MathspeakRules.defineRule_)("limboth","mathspeak.default","[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]","self::limboth",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRule_)("limlower","mathspeak.default",
-"[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];","self::limlower",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRule_)("limupper","mathspeak.default","[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];","self::limupper",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRuleAlias_)("limlower",
-"self::underscore",'@role="limit function"','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRuleAlias_)("limlower","self::underscore",'children/*[2][@role!="underaccent"]','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRuleAlias_)("limupper","self::overscore",'children/*[2][@role!="overaccent"]',
-'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRule_)("limboth-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "Endscripts"',"self::limboth");(0,sre.MathspeakRules.defineRule_)("limlower-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "Endscripts"',"self::limlower");(0,sre.MathspeakRules.defineRule_)("limupper-end",
-"mathspeak.default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "Endscripts"',"self::limupper");(0,sre.MathspeakRules.defineRuleAlias_)("limlower-end","self::underscore",'@role="limit function"');(0,sre.MathspeakRules.defineRuleAlias_)("limlower-end","self::underscore");(0,sre.MathspeakRules.defineRuleAlias_)("limupper-end","self::overscore");(0,sre.MathspeakRules.defineRule_)("integral","mathspeak.default","[n] children/*[1]; [n] children/*[2]; [n] children/*[3];","self::integral");
-(0,sre.MathspeakRules.defineRule_)("integral","mathspeak.default",'[n] children/*[1]; [t] "Subscript"; [n] children/*[2];[t] "Superscript"; [n] children/*[3]; [t] "Baseline";',"self::limboth",'@role="integral"');(0,sre.MathspeakRules.defineSpecialisedRule_)("integral","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "Sub"; [n] children/*[2];[t] "Sup"; [n] children/*[3]; [t] "Base";');(0,sre.MathspeakRules.defineSpecialisedRule_)("integral","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("bigop",
-"mathspeak.default","[n] children/*[1]; [n] children/*[2];","self::bigop");(0,sre.MathspeakRules.defineRule_)("relseq","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.MathspeakRules.defineRule_)("equality","mathspeak.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::relseq",'@role="equality"',"count(./children/*)=2");(0,sre.MathspeakRules.defineRule_)("multi-equality","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)",
-"self::relseq",'@role="equality"',"count(./children/*)>2");(0,sre.MathspeakRules.defineRule_)("multrel","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel");(0,sre.MathspeakRules.defineRule_)("subscript","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript");(0,sre.MathspeakRules.defineRule_)("subscript","mathspeak.brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("subscript-simple","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::subscript",'name(./children/*[1])="identifier"','name(./children/*[2])="number"','./children/*[2][@role!="mixed"]','./children/*[2][@role!="othernumber"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-simple","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-simple","mathspeak.default",
-"mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("subscript-baseline","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose","self::subscript","following-sibling::*",'not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup"','not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBrief");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction",'not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])');
-(0,sre.MathspeakRules.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakRules.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","@embellished");(0,sre.MathspeakRules.defineRule_)("subscript-empty-sup","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::subscript",'name(children/*[2])="infixop"','name(children/*[2][@role="implicit"]/children/*[1])="superscript"',
-'name(children/*[2]/children/*[1]/children/*[1])="empty"');(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-empty-sup","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-empty-sup","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"');(0,sre.MathspeakRules.defineRule_)("superscript","mathspeak.default",
-"[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript");(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]");(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("superscript-baseline","mathspeak.default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose",
-"self::superscript","following-sibling::*",'not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])');(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBrief");
-(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::punctuated",'ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])');(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt");
-(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","@embellished",'not(children/*[2][@role="prime"])');(0,sre.MathspeakRules.defineRule_)("superscript-empty-sub","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::superscript",
-'name(children/*[2])="infixop"','name(children/*[2][@role="implicit"]/children/*[1])="subscript"','name(children/*[2]/children/*[1]/children/*[1])="empty"');(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-empty-sub","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-empty-sub","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"');
-(0,sre.MathspeakRules.defineRule_)("square","mathspeak.default",'[n] children/*[1]; [t] "squared"',"self::superscript","children/*[2]","children/*[2][text()=2]",'name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree"))','name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"])',
-"not(@embellished)");(0,sre.MathspeakRules.defineSpecialisedRule_)("square","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("square","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("cube","mathspeak.default",'[n] children/*[1]; [t] "cubed"',"self::superscript","children/*[2]","children/*[2][text()=3]",'name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree"))',
-'name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"])',"not(@embellished)");(0,sre.MathspeakRules.defineSpecialisedRule_)("cube","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("cube","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("prime",
-"mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::superscript","children/*[2]",'children/*[2][@role="prime"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("prime","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("prime-subscript","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]","self::superscript",
-'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"not(following-sibling::*)");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript","mathspeak.default","mathspeak.brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("prime-subscript-baseline","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose",
-"self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"following-sibling::*");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBrief");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("prime-subscript-baseline",
-"self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"not(following-sibling::*)","@embellished");(0,sre.MathspeakRules.defineRule_)("prime-subscript-simple","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2];[n] children/*[1]/children/*[2]","self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"','name(children/*[1]/children/*[1])="identifier"','name(children/*[1]/children/*[2])="number"','children/*[1]/children/*[2][@role!="mixed"]',
-'children/*[1]/children/*[2][@role!="othernumber"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-simple","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-simple","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("overscore","mathspeak.default",'[t] "ModifyingAbove"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::overscore",'children/*[2][@role="overaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("overscore",
-"mathspeak.default","mathspeak.brief",'[t] "ModAbove"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("overscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("double-overscore","mathspeak.default",'[t] "ModifyingAbove Above"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::overscore",'children/*[2][@role="overaccent"]','name(children/*[1])="overscore"','children/*[1]/children/*[2][@role="overaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-overscore",
-"mathspeak.default","mathspeak.brief",'[t] "ModAbove Above"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-overscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("underscore","mathspeak.default",'[t] "ModifyingBelow"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::underscore",'children/*[2][@role="underaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("underscore","mathspeak.default","mathspeak.brief",
-'[t] "ModBelow"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("underscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("double-underscore","mathspeak.default",'[t] "ModifyingBelow Below"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::underscore",'children/*[2][@role="underaccent"]','name(children/*[1])="underscore"','children/*[1]/children/*[2][@role="underaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-underscore",
-"mathspeak.default","mathspeak.brief",'[t] "ModBelow Below"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-underscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("overbar","mathspeak.default",'[n] children/*[1]; [t] "overbar"',"self::overscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="overaccent"]','children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("overbar","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "overBar"');(0,sre.MathspeakRules.defineSpecialisedRule_)("overbar","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("underbar","mathspeak.default",'[n] children/*[1]; [t] "underbar"',"self::underscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="underaccent"]','children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("underbar","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "underBar"');(0,sre.MathspeakRules.defineSpecialisedRule_)("underbar","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("overtilde","mathspeak.default",'[n] children/*[1]; [t] "overTilde"',"self::overscore",'children/*[2][@role="overaccent"]','@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("overtilde","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "overtilde"');(0,sre.MathspeakRules.defineSpecialisedRule_)("overtilde","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("undertilde","mathspeak.default",'[n] children/*[1]; [t] "underTilde"',"self::underscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="underaccent"]','children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("undertilde","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "undertilde"');(0,sre.MathspeakRules.defineSpecialisedRule_)("undertilde","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("matrix-fence","mathspeak.default","[n] children/*[1];","self::fenced","count(children/*)=1",'name(children/*[1])="matrix"');(0,sre.MathspeakRules.defineRule_)("matrix","mathspeak.default",'[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Matrix"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndMatrix"',
-"self::matrix");(0,sre.MathspeakRules.defineRule_)("matrix","mathspeak.sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Matrix"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndMatrix"',"self::matrix");(0,sre.MathspeakRules.defineRuleAlias_)("matrix","self::vector");(0,sre.MathspeakRules.defineRule_)("matrix-row","mathspeak.default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column");[p] (pause: 200)',"self::row");(0,sre.MathspeakRules.defineRule_)("row-with-label",
-"mathspeak.default",'[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column")',"self::row","content");(0,sre.MathspeakRules.defineRule_)("row-with-label","mathspeak.brief",'[t] "Label"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column")',"self::row","content");(0,sre.MathspeakRules.defineSpecialisedRule_)("row-with-label","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("row-with-text-label",
-"mathspeak.sbrief",'[t] "Label"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column")',"self::row","content",'name(content/cell/children/*[1])="text"');(0,sre.MathspeakRules.defineRule_)("empty-row","mathspeak.default",'[t] "Blank"',"self::row","count(children/*)=0");(0,sre.MathspeakRules.defineRule_)("matrix-cell","mathspeak.default","[n] children/*[1]; [p] (pause: 300)","self::cell");(0,sre.MathspeakRules.defineRule_)("empty-cell","mathspeak.default",'[t] "Blank"; [p] (pause: 300)',
-"self::cell","count(children/*)=0");(0,sre.MathspeakRules.defineRule_)("determinant","mathspeak.default",'[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndDeterminant"',"self::matrix",'@role="determinant"');(0,sre.MathspeakRules.defineSpecialisedRule_)("determinant","mathspeak.default","mathspeak.sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndDeterminant"');
-(0,sre.MathspeakRules.defineRule_)("determinant-simple","mathspeak.default",'[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row",grammar:simpleDet); [t] "EndDeterminant"',"self::matrix",'@role="determinant"',"CQFdetIsSimple");(0,sre.MathspeakRules.defineSpecialisedRule_)("determinant-simple","mathspeak.default","mathspeak.sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row",grammar:simpleDet); [t] "EndDeterminant"');
-(0,sre.MathspeakRules.defineRule_)("row-simple","mathspeak.default","[m] children/*;","self::row",'@role="determinant"','contains(@grammar, "simpleDet")');(0,sre.MathspeakRules.defineRule_)("layout","mathspeak.default",'[t] "StartLayout"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::table");(0,sre.MathspeakRules.defineRule_)("layout","mathspeak.sbrief",'[t] "Layout"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::table");
-(0,sre.MathspeakRules.defineRule_)("binomial","mathspeak.default",'[t] "StartBinomialOrMatrix"; [n] children/*[1]/children/*[1]; [t] "Choose"; [n] children/*[2]/children/*[1];  [t] "EndBinomialOrMatrix"',"self::vector",'@role="binomial"');(0,sre.MathspeakRules.defineRule_)("binomial","mathspeak.sbrief",'[t] "BinomialOrMatrix"; [n] children/*[1]/children/*[1]; [t] "Choose"; [n] children/*[2]/children/*[1];  [t] "EndBinomialOrMatrix"',"self::vector",'@role="binomial"');(0,sre.MathspeakRules.defineRule_)("cases",
-"mathspeak.default",'[t] "StartLayout"; [t] "Enlarged"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::cases");(0,sre.MathspeakRules.defineRule_)("cases","mathspeak.sbrief",'[t] "Layout"; [t] "Enlarged"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::cases");(0,sre.MathspeakRules.defineRuleAlias_)("layout","self::multiline");(0,sre.MathspeakRules.defineRule_)("line","mathspeak.default","[m] children/*",
-"self::line");(0,sre.MathspeakRules.defineRule_)("line-with-label","mathspeak.default",'[t] "with Label"; [n] content/*[1]; [t] "EndLabel" (pause: 200); [m] children/*',"self::line","content");(0,sre.MathspeakRules.defineSpecialisedRule_)("line-with-label","mathspeak.default","mathspeak.brief",'[t] "Label"; [n] content/*[1] (pause: 200); [m] children/*');(0,sre.MathspeakRules.defineSpecialisedRule_)("line-with-label","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("line-with-text-label",
-"mathspeak.sbrief",'[t] "Label"; [t] CSFRemoveParens; [m] children/*',"self::line","content",'name(content/cell/children/*[1])="text"');(0,sre.MathspeakRules.defineRule_)("empty-line","mathspeak.default",'[t] "Blank"',"self::line","count(children/*)=0","not(content)");(0,sre.MathspeakRules.defineSpecialisedRule_)("empty-line","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("empty-line","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("empty-line-with-label",
-"mathspeak.default",'[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [t] "Blank"',"self::line","count(children/*)=0","content");(0,sre.MathspeakRules.defineSpecialisedRule_)("empty-line-with-label","mathspeak.default","mathspeak.brief",'[t] "Label"; [n] content/*[1] (pause: 200); [t] "Blank"');(0,sre.MathspeakRules.defineSpecialisedRule_)("empty-line-with-label","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("enclose","mathspeak.default",'[t] "StartEnclose"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "EndEnclose"',
-"self::enclose");(0,sre.MathspeakRules.defineRuleAlias_)("overbar","self::enclose",'@role="top"');(0,sre.MathspeakRules.defineRuleAlias_)("underbar","self::enclose",'@role="bottom"');(0,sre.MathspeakRules.defineRule_)("leftbar","mathspeak.default",'[t] "vertical-bar"; [n] children/*[1]',"self::enclose",'@role="left"');(0,sre.MathspeakRules.defineRule_)("rightbar","mathspeak.default",'[n] children/*[1]; [t] "vertical-bar"',"self::enclose",'@role="right"');(0,sre.MathspeakRules.defineRule_)("crossout",
-"mathspeak.default",'[t] "CrossOut"; [n] children/*[1]; [t] "EndCrossOut"',"self::enclose",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakRules.defineRule_)("cancel","mathspeak.default",'[t] "CrossOut"; [n] children/*[1]/children/*[1]; [t] "With"; [n] children/*[2]; [t] "EndCrossOut"',"self::overscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel","mathspeak.default",
-"mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakRules.defineRule_)("cancel-reverse","mathspeak.default",'[t] "CrossOut"; [n] children/*[2]/children/*[1]; [t] "With"; [n] children/*[1]; [t] "EndCrossOut"',"self::overscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');(0,sre.MathspeakRules.defineRule_)("end-punct","mathspeak.default","[m] children/*","self::punctuated",
-'@role="endpunct"');(0,sre.MathspeakRules.defineRule_)("start-punct","mathspeak.default","[n] content/*[1]; [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.MathspeakRules.defineRule_)("integral-punct","mathspeak.default","[n] children/*[1]; [n] children/*[3]","self::punctuated",'@role="integral"');(0,sre.MathspeakRules.defineRule_)("punctuated","mathspeak.default","[m] children/*","self::punctuated");(0,sre.MathspeakRules.defineRule_)("unit","mathspeak.default",'[t] text() (grammar:annotation="unit":translate)',
-"self::identifier",'@role="unit"');(0,sre.MathspeakRules.defineRule_)("unit-square","mathspeak.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.MathspeakRules.defineRule_)("unit-cubic","mathspeak.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.MathspeakRules.defineRule_)("reciprocal","mathspeak.default",
-'[t] "reciprocal"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');(0,sre.MathspeakRules.defineRule_)("reciprocal","mathspeak.default",'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',
-"children/*[2]/children/*[1][text()=1]",'preceding-sibling::*[@role="unit"]');(0,sre.MathspeakRules.defineRule_)("unit-combine","mathspeak.default","[m] children/*","self::infixop",'@role="unit"');(0,sre.MathspeakRules.defineRule_)("unit-divide","mathspeak.default",'[n] children/*[1]; [t] "per"; [n] children/*[2]',"self::fraction",'@role="unit"')};sre.MathspeakRules.componentString_={2:"CSFbaseline",1:"CSFsubscript",0:"CSFsuperscript"};sre.MathspeakRules.childNumber_={4:2,3:3,2:1,1:4,0:5};
-sre.MathspeakRules.generateTensorRuleStrings_=function(a){var b=[],c="",d="";a=parseInt(a,2);for(var e=0;5>e;e++){var f="children/*["+sre.MathspeakRules.childNumber_[e]+"]";if(a&1){var g=sre.MathspeakRules.componentString_[e%3];c="[t] "+g+"Verbose; [n] "+f+";"+c;d="[t] "+g+"Brief; [n] "+f+";"+d}else b.unshift("name("+f+')="empty"');a>>=1}b.push(c);b.push(d);return b};
-sre.MathspeakRules.generateMathspeakTensorRules_=function(){for(var a="11111 11110 11101 11100 10111 10110 10101 10100 01111 01110 01101 01100".split(" "),b=0,c;c=a[b];b++){var d="tensor"+c;c=sre.MathspeakRules.generateTensorRuleStrings_(c);var e=c.pop(),f=c.pop(),g=[d,"mathspeak.default",f,"self::tensor"].concat(c),h=[d,"mathspeak.brief",e,"self::tensor"].concat(c);sre.MathspeakRules.defineRule_.apply(null,g);sre.MathspeakRules.defineRule_.apply(null,h);(0,sre.MathspeakRules.defineSpecialisedRule_)(d,
-"mathspeak.brief","mathspeak.sbrief");g=sre.MathspeakRules.componentString_[2];f+="; [t]"+g+"Verbose";e+="; [t]"+g+"Brief";d+="-baseline";g=[d,"mathspeak.default",f,"self::tensor","following-sibling::*"].concat(c);h=[d,"mathspeak.brief",e,"self::tensor","following-sibling::*"].concat(c);sre.MathspeakRules.defineRule_.apply(null,g);sre.MathspeakRules.defineRule_.apply(null,h);(0,sre.MathspeakRules.defineSpecialisedRule_)(d,"mathspeak.brief","mathspeak.sbrief");d=[d,"self::tensor","not(following-sibling::*)",
-"ancestor::fraction|ancestor::punctuated|ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::relseq|ancestor::multirel|@embellished"].concat(c);sre.MathspeakRules.defineRuleAlias_.apply(null,d)}};sre.MathspeakRules.getInstance().initializer=[sre.MathspeakRules.initCustomFunctions_,sre.MathspeakRules.initMathspeakRules_,sre.MathspeakRules.generateMathspeakTensorRules_];sre.MathspeakSpanishUtil={};sre.MathspeakSpanishUtil.europeanNumber=function(a){return a=a.replace(/,/g,"").replace(/\./g,",")};sre.Grammar.getInstance().setCorrection("euroNum",sre.MathspeakSpanishUtil.europeanNumber);sre.MathspeakSpanishUtil.onesOrdinals="primera segunda tercera cuarta quinta sexta s\u00e9ptima octava novena d\u00e9cima und\u00e9cima duod\u00e9cima".split(" ");sre.MathspeakSpanishUtil.tensOrdinals="d\u00e9cima vig\u00e9sima trig\u00e9sima cuadrag\u00e9sima quincuag\u00e9sima sexag\u00e9sima septuag\u00e9sima octog\u00e9sima nonag\u00e9sima".split(" ");
-sre.MathspeakSpanishUtil.hundredsOrdinals="cent\u00e9sima ducent\u00e9sima tricent\u00e9sima cuadringent\u00e9sima quingent\u00e9sima sexcent\u00e9sima septingent\u00e9sima octingent\u00e9sima noningent\u00e9sima".split(" ");
-sre.MathspeakSpanishUtil.numberToOrdinal=function(a){if(1999<a)return a.toString()+"a";if(12>=a)return sre.MathspeakSpanishUtil.onesOrdinals[a-1];var b=[];1E3<a&&(a-=1E3,b.push("mil\u00e9sima"));var c=Math.floor(a/100);0<c&&(b.push(sre.MathspeakSpanishUtil.hundredsOrdinals[c-1]),a%=100);12>=a?b.push(sre.MathspeakSpanishUtil.onesOrdinals[a-1]):(c=Math.floor(a/10),0<c&&(b.push(sre.MathspeakSpanishUtil.tensOrdinals[c-1]),a%=10),0<a&&b.push(sre.MathspeakSpanishUtil.onesOrdinals[a-1]));return b.join(" ")};
-sre.MathspeakSpanishUtil.ordinalCounter=function(a,b){var c=0;return function(){return sre.MathspeakSpanishUtil.numberToOrdinal(++c)+" "+b}};sre.MathspeakSpanishUtil.smallRoot=function(a){if(!a.childNodes||0===a.childNodes.length||!a.childNodes[0].childNodes)return[];var b=a.childNodes[0].childNodes[0].textContent;if(!/^\d+$/.test(b))return[];b=parseInt(b,10);return 1<b&&10>=b?[a]:[]};
-sre.MathspeakSpanishUtil.unitMultipliers=function(a,b){var c=0;return function(){var b=sre.AuditoryDescription.create({text:sre.MathspeakSpanishUtil.rightMostUnit(a[c])&&sre.MathspeakSpanishUtil.leftMostUnit(a[c+1])?"por":""},{});c++;return[b]}};sre.MathspeakSpanishUtil.SCRIPT_ELEMENTS=[sre.SemanticAttr.Type.SUPERSCRIPT,sre.SemanticAttr.Type.SUBSCRIPT,sre.SemanticAttr.Type.OVERSCORE,sre.SemanticAttr.Type.UNDERSCORE];
-sre.MathspeakSpanishUtil.rightMostUnit=function(a){for(;a;){if("unit"===a.getAttribute("role"))return!0;var b=a.tagName;a=sre.XpathUtil.evalXPath("children/*",a);a=-1!==sre.MathspeakSpanishUtil.SCRIPT_ELEMENTS.indexOf(b)?a[0]:a[a.length-1]}return!1};sre.MathspeakSpanishUtil.leftMostUnit=function(a){for(;a;){if("unit"===a.getAttribute("role"))return!0;a=sre.XpathUtil.evalXPath("children/*",a)[0]}return!1};sre.MathspeakSpanishUtil.makePlural=function(a){return/.*s$/.test(a)?a:a+"s"};
-sre.Grammar.getInstance().setCorrection("plural",sre.MathspeakSpanishUtil.makePlural);sre.MathspeakSpanishUtil.oneLeft=function(a){for(;a;){if("number"===a.tagName&&"1"===a.textContent)return[a];if("infixop"!==a.tagName||"multiplication"!==a.getAttribute("role")&&"implicit"!==a.getAttribute("role"))break;a=sre.XpathUtil.evalXPath("children/*",a)[0]}return[]};sre.MathspeakSpanish=function(){sre.MathStore.call(this);this.locale="es"};goog.inherits(sre.MathspeakSpanish,sre.MathStore);goog.addSingletonGetter(sre.MathspeakSpanish);sre.MathspeakSpanish.prototype.evaluateDefault=function(a){return[sre.AuditoryDescription.create({text:a.textContent})]};sre.MathspeakSpanish.SPANISH_REGEXP="a-zA-Z\u00e1\u00e9\u00ed\u00f3\u00fa\u00f1\u00c1\u00c9\u00cd\u00d3\u00da\u00d1";
-sre.MathspeakSpanish.evaluateDefault=function(a){a=a.textContent;for(var b=[],c=new sre.SystemExternal.xmldom.DOMParser,d=new RegExp("^["+sre.MathspeakSpanish.SPANISH_REGEXP+"]+"),e=new RegExp("^[^"+sre.MathspeakSpanish.SPANISH_REGEXP+"]+");a;){var f=d.exec(a);if(f)var g=sre.Semantic.Type.TEXT,h=sre.Semantic.Role.PROTECTED;else f=e.exec(a),g=sre.Semantic.Type.UNKNOWN,h=sre.Semantic.Role.TEXT;g=c.parseFromString("<"+g+' role="'+h+'">'+f[0]+"</"+g+">","text/xml");b.push(g.documentElement);a=a.slice(f[0].length).trimLeft()}return b};
-sre.MathspeakSpanish.mathStore=sre.MathspeakSpanish.getInstance();sre.MathspeakSpanish.defineRule_=goog.bind(sre.MathspeakSpanish.mathStore.defineRule,sre.MathspeakSpanish.mathStore);sre.MathspeakSpanish.defineRuleAlias_=goog.bind(sre.MathspeakSpanish.mathStore.defineRulesAlias,sre.MathspeakSpanish.mathStore);sre.MathspeakSpanish.defineSpecialisedRule_=goog.bind(sre.MathspeakSpanish.mathStore.defineSpecialisedRule,sre.MathspeakSpanish.mathStore);
-sre.MathspeakSpanish.addContextFunction_=goog.bind(sre.MathspeakSpanish.mathStore.contextFunctions.add,sre.MathspeakSpanish.mathStore.contextFunctions);sre.MathspeakSpanish.addCustomQuery_=goog.bind(sre.MathspeakSpanish.mathStore.customQueries.add,sre.MathspeakSpanish.mathStore.customQueries);sre.MathspeakSpanish.addCustomString_=goog.bind(sre.MathspeakSpanish.mathStore.customStrings.add,sre.MathspeakSpanish.mathStore.customStrings);
-sre.MathspeakSpanish.initCustomFunctions_=function(){(0,sre.MathspeakSpanish.addCustomQuery_)("CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier);(0,sre.MathspeakSpanish.addCustomString_)("CSFspaceoutText",sre.MathspeakUtil.spaceoutText);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseFracVerbose",
-sre.MathspeakUtil.closingFractionVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseFracSbrief",
-sre.MathspeakUtil.closingFractionSbrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseRadicalVerbose",sre.MathspeakUtil.closingRadicalVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenRadicalBrief",
-sre.MathspeakUtil.openingRadicalBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFisSmallRoot",
-sre.MathspeakSpanishUtil.smallRoot);(0,sre.MathspeakSpanish.addCustomString_)("CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFbaselineVerbose",sre.MathspeakUtil.baselineVerbose);
-(0,sre.MathspeakSpanish.addCustomString_)("CSFbaselineBrief",sre.MathspeakUtil.baselineBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFunderscript",sre.MathspeakUtil.nestedUnderscore);(0,sre.MathspeakSpanish.addCustomString_)("CSFoverscript",sre.MathspeakUtil.nestedOverscore);(0,sre.MathspeakSpanish.addContextFunction_)("CTXFordinalCounterEs",sre.MathspeakSpanishUtil.ordinalCounter);(0,sre.MathspeakSpanish.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator);(0,sre.MathspeakSpanish.addContextFunction_)("CTXFunitMultipliers",
-sre.MathspeakSpanishUtil.unitMultipliers);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple);(0,sre.MathspeakSpanish.addCustomString_)("CSFRemoveParens",sre.MathspeakUtil.removeParens);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFoneLeft",sre.MathspeakSpanishUtil.oneLeft);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFresetNesting",sre.MathspeakUtil.resetNestingDepth);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFtextEvaluator",sre.MathspeakSpanish.evaluateDefault)};
-sre.MathspeakSpanish.initMathspeakSpanish_=function(){(0,sre.MathspeakSpanish.defineRule_)("stree","mathspeak.default","[n] ./*[1]","self::stree","CQFresetNesting");(0,sre.MathspeakSpanish.defineRule_)("unknown","mathspeak.default","[n] text()","self::unknown");(0,sre.MathspeakSpanish.defineRule_)("protected","mathspeak.default","[t] text()","self::*",'@role="protected"');(0,sre.MathspeakSpanish.defineRule_)("omit-empty","mathspeak.default","[p] (pause:100)","self::empty");(0,sre.MathspeakSpanish.defineRule_)("blank-empty",
-"mathspeak.default",'[t] "espacio"',"self::empty","count(../*)=1",'name(../..)="cell" or name(../..)="line"');(0,sre.MathspeakSpanish.defineRule_)("font","mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"');(0,sre.MathspeakSpanish.defineRule_)("font-identifier-short","mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1",
-"@font",'not(contains(@grammar, "ignoreFont"))','@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")','@role!="unit"');(0,sre.MathspeakSpanish.defineRule_)("font-identifier",
-"mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.MathspeakSpanish.defineRule_)("omit-font","mathspeak.default","[n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.MathspeakSpanish.defineRule_)("number","mathspeak.default","[n] text() (grammar:euroNum)",
-"self::number");(0,sre.MathspeakSpanish.defineRule_)("mixed-number","mathspeak.default",'[n] children/*[1]; [t] "m\u00e1s"; [n] children/*[2]; ',"self::number",'@role="mixed"');(0,sre.MathspeakSpanish.defineRule_)("number-with-chars","mathspeak.default",'[t] "n\u00famero"; [m] CQFspaceoutNumber',"self::number",'"" != translate(text(), "0123456789.,", "")','text() != translate(text(), "0123456789.,", "")');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-with-chars","mathspeak.default","mathspeak.brief",
-'[t] "n\u00fam"; [m] CQFspaceoutNumber');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-with-chars","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("number-as-upper-word","mathspeak.default",'[t] "may\u00fascula"; [t] CSFspaceoutText',"self::number","string-length(text())>1",'text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9")',
-'""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")');(0,sre.MathspeakSpanish.defineRule_)("number-baseline","mathspeak.default",'[t] "l\u00ednea base"; [n] text()',"self::number",'not(contains(@grammar, "ignoreFont"))',"preceding-sibling::identifier",'preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');
-(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-baseline","mathspeak.default","mathspeak.brief",'[t] "base"; [n] text()');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("number-baseline-font","mathspeak.default",'[t] "l\u00ednea base"; [t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)',"self::number","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"',"preceding-sibling::identifier",
-'preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-baseline-font","mathspeak.default","mathspeak.brief",'[t] "base"; [n] text()');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-baseline-font","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("identifier","mathspeak.default","[m] CQFspaceoutIdentifier","self::identifier","string-length(text())>1",
-'@role!="unit"','@role!="protected"','not(@font) or @font="normal" or contains(@grammar, "ignoreFont")');(0,sre.MathspeakSpanish.defineRule_)("identifier","mathspeak.default","[n] text()","self::identifier",'@role="protected"');(0,sre.MathspeakSpanish.defineRule_)("negative","mathspeak.default",'[t] "menos"; [n] children/*[1]',"self::prefixop",'@role="negative"',"children/identifier");(0,sre.MathspeakSpanish.defineRuleAlias_)("negative","self::prefixop",'@role="negative"',"children/number");(0,sre.MathspeakSpanish.defineRuleAlias_)("negative",
-"self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]');(0,sre.MathspeakSpanish.defineRule_)("negative","mathspeak.default",'[t] "menos"; [n] children/*[1]',"self::prefixop",'@role="negative"');(0,sre.MathspeakSpanish.defineRule_)("prefix","mathspeak.default","[n] text(); [n] children/*[1]","self::prefixop");(0,sre.MathspeakSpanish.defineRule_)("postfix","mathspeak.default","[n] children/*[1]; [n] text()","self::postfixop");(0,sre.MathspeakSpanish.defineRule_)("binary-operation",
-"mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop");(0,sre.MathspeakSpanish.defineRule_)("implicit","mathspeak.default","[m] children/*","self::infixop",'@role="implicit"');(0,sre.MathspeakSpanish.defineRuleAlias_)("implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"');(0,sre.MathspeakSpanish.defineRule_)("subtraction","mathspeak.default",'[m] children/* (separator:"menos");',"self::infixop",'@role="subtraction"');
-(0,sre.MathspeakSpanish.defineRule_)("function-unknown","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::appl");(0,sre.MathspeakSpanish.defineRule_)("function-prefix","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::appl",'children/*[1][@role="prefix function"]');(0,sre.MathspeakSpanish.defineRule_)("fences-open-close","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced",'@role="leftright"');(0,sre.MathspeakSpanish.defineRule_)("fences-neutral",
-"mathspeak.default",'[t] "empezar valor absoluto"; [n] children/*[1]; [t] "finalizar valor absoluto"',"self::fenced",'@role="neutral"','content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("fences-neutral","mathspeak.default","mathspeak.sbrief",'[t] "valor absoluto"; [n] children/*[1]; [t] "finalizar valor absoluto"');(0,sre.MathspeakSpanish.defineRule_)("fences-neutral","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]",
-"self::fenced",'@role="neutral"');(0,sre.MathspeakSpanish.defineRule_)("fences-set","mathspeak.default",'[t] "empezar llave"; [n] children/*[1]; [t] "finalizar llave"',"self::fenced",'@role="leftright"','content/*[1][text()]="{"','content/*[2][text()]="}"',"count(children/*)=1",'not(name(../..)="appl")');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("fences-set","mathspeak.default","mathspeak.sbrief",'[t] "llave"; [n] children/*[1]; [t] "finalizar llave"');(0,sre.MathspeakSpanish.defineRule_)("text",
-"mathspeak.default","[m] CQFtextEvaluator","self::text");(0,sre.MathspeakSpanish.defineRule_)("factorial","mathspeak.default",'[t] "factorial"',"self::punctuation",'text()="!"','name(preceding-sibling::*[1])!="text"');(0,sre.MathspeakSpanish.defineRule_)("minus","mathspeak.default",'[t] "menos"',"self::operator",'text()="-"');(0,sre.MathspeakSpanish.defineRule_)("single-prime","mathspeak.default",'[t] "prima"',"self::punctuated",'@role="prime"',"count(children/*)=1");(0,sre.MathspeakSpanish.defineRule_)("double-prime",
-"mathspeak.default",'[t] "doble prima"',"self::punctuated",'@role="prime"',"count(children/*)=2");(0,sre.MathspeakSpanish.defineRule_)("triple-prime","mathspeak.default",'[t] "triple prima"',"self::punctuated",'@role="prime"',"count(children/*)=3");(0,sre.MathspeakSpanish.defineRule_)("quadruple-prime","mathspeak.default",'[t] "cuadruplicar prima"',"self::punctuated",'@role="prime"',"count(children/*)=4");(0,sre.MathspeakSpanish.defineRule_)("counted-prime","mathspeak.default",'[t] count(children/*); [t] "prime"',
-"self::punctuated",'@role="prime"');(0,sre.MathspeakSpanish.defineRule_)("fraction","mathspeak.default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction");(0,sre.MathspeakSpanish.defineRule_)("fraction","mathspeak.brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief","self::fraction");(0,sre.MathspeakSpanish.defineRule_)("fraction","mathspeak.sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief",
-"self::fraction");(0,sre.MathspeakSpanish.defineRule_)("continued-fraction-outer","mathspeak.default",'[t] "fracci\u00f3n continua"; [n] children/*[1];[t] "entre"; [n] children/*[2]',"self::fraction","not(ancestor::fraction)",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("continued-fraction-outer","mathspeak.default","mathspeak.brief",'[t] "frac continua"; [n] children/*[1];[t] "entre"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("continued-fraction-outer",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("continued-fraction-inner","mathspeak.default",'[t] "empezar fracci\u00f3n"; [n] children/*[1];[t] "entre"; [n] children/*[2]',"self::fraction","ancestor::fraction",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.default","mathspeak.brief",'[t] "empezar frac"; [n] children/*[1];[t] "entre"; [n] children/*[2]');
-(0,sre.MathspeakSpanish.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.brief","mathspeak.sbrief",'[t] "frac"; [n] children/*[1];[t] "entre"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineRule_)("sqrt","mathspeak.default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt");(0,sre.MathspeakSpanish.defineRule_)("sqrt","mathspeak.brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakSpanish.defineRule_)("sqrt",
-"mathspeak.sbrief","[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakSpanish.defineRule_)("root-small","mathspeak.default","[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root","CQFisSmallRoot");(0,sre.MathspeakSpanish.defineRule_)("root-small","mathspeak.brief","[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root","CQFisSmallRoot");(0,sre.MathspeakSpanish.defineRule_)("root-small",
-"mathspeak.sbrief","[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root","CQFisSmallRoot");(0,sre.MathspeakSpanish.defineRule_)("root","mathspeak.default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root");(0,sre.MathspeakSpanish.defineRule_)("root","mathspeak.brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");
-(0,sre.MathspeakSpanish.defineRule_)("root","mathspeak.sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");(0,sre.MathspeakSpanish.defineRule_)("limboth","mathspeak.default","[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]","self::limboth",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRule_)("limlower",
-"mathspeak.default","[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];","self::limlower",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRule_)("limupper","mathspeak.default","[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];","self::limupper",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRuleAlias_)("limlower",
-"self::underscore",'@role="limit function"','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRuleAlias_)("limlower","self::underscore",'children/*[2][@role!="underaccent"]','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRuleAlias_)("limupper","self::overscore",'children/*[2][@role!="overaccent"]',
-'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRule_)("limboth-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "finalizar \u00edndices"',"self::limboth");(0,sre.MathspeakSpanish.defineRule_)("limlower-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "finalizar \u00edndices"',"self::limlower");
-(0,sre.MathspeakSpanish.defineRule_)("limupper-end","mathspeak.default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "finalizar \u00edndices"',"self::limupper");(0,sre.MathspeakSpanish.defineRuleAlias_)("limlower-end","self::underscore",'@role="limit function"');(0,sre.MathspeakSpanish.defineRuleAlias_)("limlower-end","self::underscore");(0,sre.MathspeakSpanish.defineRuleAlias_)("limupper-end","self::overscore");(0,sre.MathspeakSpanish.defineRule_)("integral","mathspeak.default",
-"[n] children/*[1]; [n] children/*[2]; [n] children/*[3];","self::integral");(0,sre.MathspeakSpanish.defineRule_)("integral","mathspeak.default",'[n] children/*[1]; [t] "definida"; [t] "sub\u00edndice"; [n] children/*[2];[t] "super\u00edndice"; [n] children/*[3]; [t] "l\u00ednea base";',"self::limboth",'@role="integral"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("integral","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "Sub"; [n] children/*[2];[t] "Sup"; [n] children/*[3]; [t] "Base";');
-(0,sre.MathspeakSpanish.defineSpecialisedRule_)("integral","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("bigop","mathspeak.default","[n] children/*[1]; [n] children/*[2];","self::bigop");(0,sre.MathspeakSpanish.defineRule_)("relseq","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.MathspeakSpanish.defineRule_)("equality","mathspeak.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::relseq",'@role="equality"',
-"count(./children/*)=2");(0,sre.MathspeakSpanish.defineRule_)("multi-equality","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq",'@role="equality"',"count(./children/*)>2");(0,sre.MathspeakSpanish.defineRule_)("multrel","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel");(0,sre.MathspeakSpanish.defineRule_)("subscript","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript");(0,sre.MathspeakSpanish.defineRule_)("subscript",
-"mathspeak.brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("subscript-baseline","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose","self::subscript","following-sibling::*",'not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup"',
-'not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("subscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBriefS");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("subscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)",
-"ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction",'not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])');(0,sre.MathspeakSpanish.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakSpanish.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)",
-"@embellished");(0,sre.MathspeakSpanish.defineRule_)("subscript-empty-sup","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::subscript",'name(children/*[2])="infixop"','name(children/*[2][@role="implicit"]/children/*[1])="superscript"','name(children/*[2]/children/*[1]/children/*[1])="empty"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("subscript-empty-sup","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("subscript-empty-sup","mathspeak.brief",
-"mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"');(0,sre.MathspeakSpanish.defineRule_)("superscript","mathspeak.default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("superscript","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]");
-(0,sre.MathspeakSpanish.defineSpecialisedRule_)("superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("superscript-baseline","mathspeak.default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose","self::superscript","following-sibling::*",'not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])');
-(0,sre.MathspeakSpanish.defineSpecialisedRule_)("superscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBriefS");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("superscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::punctuated",'ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])');
-(0,sre.MathspeakSpanish.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt");(0,sre.MathspeakSpanish.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakSpanish.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)",
-"@embellished",'not(children/*[2][@role="prime"])');(0,sre.MathspeakSpanish.defineRule_)("superscript-empty-sub","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::superscript",'name(children/*[2])="infixop"','name(children/*[2][@role="implicit"]/children/*[1])="subscript"','name(children/*[2]/children/*[1]/children/*[1])="empty"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("superscript-empty-sub","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("superscript-empty-sub",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"');(0,sre.MathspeakSpanish.defineRule_)("square","mathspeak.default",'[n] children/*[1]; [t] "al cuadrado"',"self::superscript","children/*[2]","children/*[2][text()=2]",'name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree"))',
-'name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"])',"not(@embellished)");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("square","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("square","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("cube",
-"mathspeak.default",'[n] children/*[1]; [t] "al cubo"',"self::superscript","children/*[2]","children/*[2][text()=3]",'name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree"))','name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"])',
-"not(@embellished)");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cube","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cube","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("prime","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::superscript","children/*[2]",'children/*[2][@role="prime"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("prime","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("prime",
-"mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("prime-subscript","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]","self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"not(following-sibling::*)");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("prime-subscript","mathspeak.default","mathspeak.brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]");
-(0,sre.MathspeakSpanish.defineSpecialisedRule_)("prime-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("prime-subscript-baseline","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose","self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"following-sibling::*");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("prime-subscript-baseline",
-"mathspeak.default","mathspeak.brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBriefS");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("prime-subscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("prime-subscript-baseline","self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"not(following-sibling::*)","@embellished");(0,sre.MathspeakSpanish.defineRule_)("overscore",
-"mathspeak.default",'[t] "modificando superior"; [n] children/*[1]; [t] "con"; [n] children/*[2]',"self::overscore",'children/*[2][@role="overaccent"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("overscore","mathspeak.default","mathspeak.brief",'[t] "mod superior"; [n] children/*[1]; [t] "con"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("overscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("double-overscore","mathspeak.default",'[t] "modificando superior superior"; [n] children/*[1]; [t] "con"; [n] children/*[2]',
-"self::overscore",'children/*[2][@role="overaccent"]','name(children/*[1])="overscore"','children/*[1]/children/*[2][@role="overaccent"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("double-overscore","mathspeak.default","mathspeak.brief",'[t] "mod superior superior"; [n] children/*[1]; [t] "con"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("double-overscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("underscore","mathspeak.default",'[t] "modificando inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2]',
-"self::underscore",'children/*[2][@role="underaccent"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("underscore","mathspeak.default","mathspeak.brief",'[t] "mod inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("underscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("double-underscore","mathspeak.default",'[t] "modificando inferior inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2]',"self::underscore",
-'children/*[2][@role="underaccent"]','name(children/*[1])="underscore"','children/*[1]/children/*[2][@role="underaccent"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("double-underscore","mathspeak.default","mathspeak.brief",'[t] "mod inferior inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("double-underscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("overbar","mathspeak.default",'[n] children/*[1]; [t] "barra"',
-"self::overscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="overaccent"]','children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("overbar","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "barra"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("overbar","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("underbar",
-"mathspeak.default",'[n] children/*[1]; [t] "subbarra"',"self::underscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="underaccent"]','children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("underbar","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "subbarra"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("underbar","mathspeak.brief","mathspeak.sbrief");
-(0,sre.MathspeakSpanish.defineRule_)("overtilde","mathspeak.default",'[n] children/*[1]; [t] "tilde"',"self::overscore",'children/*[2][@role="overaccent"]','@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("overtilde","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "tilde"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("overtilde",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("undertilde","mathspeak.default",'[n] children/*[1]; [t] "subtilde"',"self::underscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="underaccent"]','children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("undertilde","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "subtilde"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("undertilde",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("matrix-fence","mathspeak.default","[n] children/*[1];","self::fenced","count(children/*)=1",'name(children/*[1])="matrix"');(0,sre.MathspeakSpanish.defineRule_)("matrix","mathspeak.default",'[t] "empezar matriz"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar matriz"',"self::matrix");(0,sre.MathspeakSpanish.defineRule_)("matrix",
-"mathspeak.sbrief",'[t] "matriz"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:" "); [t] "finalizar matriz"',"self::matrix");(0,sre.MathspeakSpanish.defineRuleAlias_)("matrix","self::vector");(0,sre.MathspeakSpanish.defineRule_)("matrix-row","mathspeak.default",'[m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"columna");[p] (pause: 200)',"self::row");(0,sre.MathspeakSpanish.defineRule_)("row-with-label","mathspeak.default",
-'[t] "con etiqueta"; [n] content/*[1]; [t] "finalizar etiqueta" (pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"columna")',"self::row","content");(0,sre.MathspeakSpanish.defineRule_)("row-with-label","mathspeak.brief",'[t] "etiqueta"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"columna")',"self::row","content");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("row-with-label","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("row-with-text-label",
-"mathspeak.sbrief",'[t] "etiqueta"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"columna")',"self::row","content",'name(content/cell/children/*[1])="text"');(0,sre.MathspeakSpanish.defineRule_)("empty-row","mathspeak.default",'[t] "espacio"',"self::row","count(children/*)=0");(0,sre.MathspeakSpanish.defineRule_)("matrix-cell","mathspeak.default","[n] children/*[1]; [p] (pause: 300)","self::cell");(0,sre.MathspeakSpanish.defineRule_)("empty-cell","mathspeak.default",'[t] "espacio"; [p] (pause: 300)',
-"self::cell","count(children/*)=0");(0,sre.MathspeakSpanish.defineRule_)("determinant","mathspeak.default",'[t] "empezar determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar determinante"',"self::matrix",'@role="determinant"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("determinant","mathspeak.default","mathspeak.sbrief",'[t] "determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar determinante"');
-(0,sre.MathspeakSpanish.defineRule_)("determinant-simple","mathspeak.default",'[t] "empezar determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila",grammar:simpleDet); [t] "finalizar determinante"',"self::matrix",'@role="determinant"',"CQFdetIsSimple");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("determinant-simple","mathspeak.default","mathspeak.sbrief",'[t] "determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila",grammar:simpleDet); [t] "finalizar determinante"');
-(0,sre.MathspeakSpanish.defineRule_)("row-simple","mathspeak.default","[m] children/*;","self::row",'@role="determinant"','contains(@grammar, "simpleDet")');(0,sre.MathspeakSpanish.defineRule_)("layout","mathspeak.default",'[t] "empezar esquema"; [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar esquema"',"self::table");(0,sre.MathspeakSpanish.defineRule_)("layout","mathspeak.sbrief",'[t] "esquema"; [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar esquema"',
-"self::table");(0,sre.MathspeakSpanish.defineRule_)("binomial","mathspeak.default",'[t] "empezar binomial"; [n] children/*[1]/children/*[1]; [t] "en"; [n] children/*[2]/children/*[1];  [t] "finalizar binomial"',"self::vector",'@role="binomial"');(0,sre.MathspeakSpanish.defineRule_)("binomial","mathspeak.sbrief",'[t] "binomial"; [n] children/*[1]/children/*[1]; [t] "en"; [n] children/*[2]/children/*[1];  [t] "finalizar binomial"',"self::vector",'@role="binomial"');(0,sre.MathspeakSpanish.defineRule_)("cases",
-"mathspeak.default",'[t] "empezar esquema"; [n] content/*[1]; [t] "alargada"; [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar esquema"',"self::cases");(0,sre.MathspeakSpanish.defineRule_)("cases","mathspeak.sbrief",'[t] "esquema"; [n] content/*[1]; [t] "alargada"; [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar esquema"',"self::cases");(0,sre.MathspeakSpanish.defineRuleAlias_)("layout","self::multiline");(0,sre.MathspeakSpanish.defineRule_)("line",
-"mathspeak.default","[m] children/*","self::line");(0,sre.MathspeakSpanish.defineRule_)("line-with-label","mathspeak.default",'[t] "con etiqueta"; [n] content/*[1]; [t] "finalizar etiqueta" (pause: 200); [m] children/*',"self::line","content");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("line-with-label","mathspeak.default","mathspeak.brief",'[t] "etiqueta"; [n] content/*[1] (pause: 200); [m] children/*');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("line-with-label","mathspeak.brief","mathspeak.sbrief");
-(0,sre.MathspeakSpanish.defineRule_)("line-with-text-label","mathspeak.sbrief",'[t] "etiqueta"; [t] CSFRemoveParens; [m] children/*',"self::line","content",'name(content/cell/children/*[1])="text"');(0,sre.MathspeakSpanish.defineRule_)("empty-line","mathspeak.default",'[t] "espacio"',"self::line","count(children/*)=0","not(content)");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("empty-line","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("empty-line","mathspeak.brief",
-"mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("empty-line-with-label","mathspeak.default",'[t] "con etiqueta"; [n] content/*[1]; [t] "finalizar etiqueta" (pause: 200); [t] "espacio"',"self::line","count(children/*)=0","content");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("empty-line-with-label","mathspeak.default","mathspeak.brief",'[t] "etiqueta"; [n] content/*[1] (pause: 200); [t] "espacio"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("empty-line-with-label","mathspeak.brief",
-"mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("enclose","mathspeak.default",'[t] "empezar rodear"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "finalizar rodear"',"self::enclose");(0,sre.MathspeakSpanish.defineRuleAlias_)("overbar","self::enclose",'@role="top"');(0,sre.MathspeakSpanish.defineRuleAlias_)("underbar","self::enclose",'@role="bottom"');(0,sre.MathspeakSpanish.defineRule_)("leftbar","mathspeak.default",'[t] "barra vertical"; [n] children/*[1]',"self::enclose",'@role="left"');
-(0,sre.MathspeakSpanish.defineRule_)("rightbar","mathspeak.default",'[n] children/*[1]; [t] "barra vertical"',"self::enclose",'@role="right"');(0,sre.MathspeakSpanish.defineRule_)("crossout","mathspeak.default",'[t] "tachado"; [n] children/*[1]; [t] "finalizar tachado"',"self::enclose",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakSpanish.defineRule_)("cancel","mathspeak.default",'[t] "tachado"; [n] children/*[1]/children/*[1]; [t] "con"; [n] children/*[2]; [t] "finalizar tachado"',
-"self::overscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cancel","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cancel","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakSpanish.defineRule_)("cancel-reverse",
-"mathspeak.default",'[t] "tachado"; [n] children/*[2]/children/*[1]; [t] "con"; [n] children/*[1]; [t] "finalizar tachado"',"self::overscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("cancel-reverse",
-"self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');(0,sre.MathspeakSpanish.defineRule_)("end-punct","mathspeak.default","[m] children/*","self::punctuated",'@role="endpunct"');(0,sre.MathspeakSpanish.defineRule_)("start-punct","mathspeak.default","[n] content/*[1]; [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.MathspeakSpanish.defineRule_)("integral-punct","mathspeak.default",
-"[n] children/*[1]; [n] children/*[3]","self::punctuated",'@role="integral"');(0,sre.MathspeakSpanish.defineRule_)("punctuated","mathspeak.default","[m] children/*","self::punctuated");(0,sre.MathspeakSpanish.defineRule_)("unit","mathspeak.default",'[t] text() (grammar:annotation="unit":translate)',"self::identifier",'@role="unit"');(0,sre.MathspeakSpanish.defineRule_)("unit","mathspeak.default",'[t] text() (grammar:annotation="unit":translate:plural)',"self::identifier",'@role="unit"','not(contains(@grammar, "singularUnit"))');
-(0,sre.MathspeakSpanish.defineRule_)("unit-square","mathspeak.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.MathspeakSpanish.defineRule_)("unit-cubic","mathspeak.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.MathspeakSpanish.defineRule_)("reciprocal","mathspeak.default",'[t] "reciprocal"; [n] children/*[1]',
-"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');(0,sre.MathspeakSpanish.defineRule_)("reciprocal","mathspeak.default",'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",
-'preceding-sibling::*[@role="unit"]');(0,sre.MathspeakSpanish.defineRule_)("unit-combine","mathspeak.default","[m] children/* (sepFunc:CTXFunitMultipliers)","self::infixop",'@role="unit"');(0,sre.MathspeakSpanish.defineRule_)("unit-combine","mathspeak.default","[m] children/* (sepFunc:CTXFunitMultipliers);","self::infixop",'@role="multiplication" or @role="implicit"','children/*[@role="unit"]');(0,sre.MathspeakSpanish.defineRule_)("unit-combine","mathspeak.default","[n] . (grammar:singularUnit);",
-"self::infixop",'@role="multiplication" or @role="implicit"','children/*[@role="unit"]','not(contains(@grammar, "singularUnit"))',"CQFoneLeft");(0,sre.MathspeakSpanish.defineRule_)("unit-divide","mathspeak.default",'[n] children/*[1]; [t] "per"; [n] children/*[2]',"self::fraction",'@role="unit"')};sre.MathspeakSpanish.componentString_={2:"CSFbaseline",1:"CSFsubscript",0:"CSFsuperscript"};sre.MathspeakSpanish.childNumber_={4:2,3:3,2:1,1:4,0:5};
-sre.MathspeakSpanish.generateTensorRuleStrings_=function(a){var b=[],c="",d="";a=parseInt(a,2);for(var e=0;5>e;e++){var f="children/*["+sre.MathspeakSpanish.childNumber_[e]+"]";if(a&1){var g=sre.MathspeakSpanish.componentString_[e%3];c="[t] "+g+"Verbose; [n] "+f+";"+c;d="[t] "+g+"Brief; [n] "+f+";"+d}else b.unshift("name("+f+')="empty"');a>>=1}b.push(c);b.push(d);return b};
-sre.MathspeakSpanish.generateMathspeakTensorRules_=function(){for(var a="11111 11110 11101 11100 10111 10110 10101 10100 01111 01110 01101 01100".split(" "),b=0,c;c=a[b];b++){var d="tensor"+c;c=sre.MathspeakSpanish.generateTensorRuleStrings_(c);var e=c.pop(),f=c.pop(),g=[d,"mathspeak.default",f,"self::tensor"].concat(c),h=[d,"mathspeak.brief",e,"self::tensor"].concat(c);sre.MathspeakSpanish.defineRule_.apply(null,g);sre.MathspeakSpanish.defineRule_.apply(null,h);(0,sre.MathspeakSpanish.defineSpecialisedRule_)(d,
-"mathspeak.brief","mathspeak.sbrief");g=sre.MathspeakSpanish.componentString_[2];f+="; [t]"+g+"Verbose";e+="; [t]"+g+"Brief";d+="-baseline";g=[d,"mathspeak.default",f,"self::tensor","following-sibling::*"].concat(c);h=[d,"mathspeak.brief",e,"self::tensor","following-sibling::*"].concat(c);sre.MathspeakSpanish.defineRule_.apply(null,g);sre.MathspeakSpanish.defineRule_.apply(null,h);(0,sre.MathspeakSpanish.defineSpecialisedRule_)(d,"mathspeak.brief","mathspeak.sbrief");d=[d,"self::tensor","not(following-sibling::*)",
-"ancestor::fraction|ancestor::punctuated|ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::relseq|ancestor::multirel|@embellished"].concat(c);sre.MathspeakSpanish.defineRuleAlias_.apply(null,d)}};sre.MathspeakSpanish.getInstance().initializer=[sre.MathspeakSpanish.initCustomFunctions_,sre.MathspeakSpanish.initMathspeakSpanish_,sre.MathspeakSpanish.generateMathspeakTensorRules_];sre.PrefixRules=function(){sre.MathStore.call(this)};goog.inherits(sre.PrefixRules,sre.MathStore);goog.addSingletonGetter(sre.PrefixRules);sre.PrefixRules.mathStore=sre.PrefixRules.getInstance();sre.PrefixRules.defineRule_=goog.bind(sre.PrefixRules.mathStore.defineRule,sre.PrefixRules.mathStore);sre.PrefixRules.defineRuleAlias_=goog.bind(sre.PrefixRules.mathStore.defineRulesAlias,sre.PrefixRules.mathStore);sre.PrefixRules.addCustomString_=goog.bind(sre.PrefixRules.mathStore.customStrings.add,sre.PrefixRules.mathStore.customStrings);
-sre.PrefixRules.ordinalPosition=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes);return sre.MathspeakUtil.simpleOrdinal(b.indexOf(a)+1).toString()};sre.PrefixRules.initCustomFunctions_=function(){(0,sre.PrefixRules.addCustomString_)("CSFordinalPosition",sre.PrefixRules.ordinalPosition)};
-sre.PrefixRules.initPrefixRules_=function(){(0,sre.PrefixRules.defineRule_)("numerator","prefix.default",'[t] "Numerator"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("denominator","prefix.default",'[t] "Denominator"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("base","prefix.default",'[t] "Base"; [p] (pause:200)',"self::*",'name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor"',
-"count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("exponent","prefix.default",'[t] "Exponent"; [p] (pause:200)',"self::*",'name(../..)="superscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("subscript","prefix.default",'[t] "Subscript"; [p] (pause:200)',"self::*",'name(../..)="subscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("overscript","prefix.default",'[t] "Overscript"; [p] (pause:200)',"self::*",'name(../..)="overscore"',"count(preceding-sibling::*)=1");
-(0,sre.PrefixRules.defineRule_)("underscript","prefix.default",'[t] "Underscript"; [p] (pause:200)',"self::*",'name(../..)="underscore"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("radicand","prefix.default",'[t] "Radicand"; [p] (pause:200)',"self::*",'name(../..)="sqrt"');(0,sre.PrefixRules.defineRule_)("radicand","prefix.default",'[t] "Radicand"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("index","prefix.default",
-'[t] "Index"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("leftsub","prefix.default",'[t] "Left Subscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsub"');(0,sre.PrefixRules.defineRule_)("leftsub","prefix.default",'[t] CSFordinalPosition; [t] "Left Subscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsub"');(0,sre.PrefixRules.defineRule_)("leftsuper",
-"prefix.default",'[t] "Left Superscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsuper"');(0,sre.PrefixRules.defineRule_)("leftsuper","prefix.default",'[t] CSFordinalPosition; [t] "Left Superscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsuper"');(0,sre.PrefixRules.defineRule_)("rightsub","prefix.default",'[t] "Right Subscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="rightsub"');(0,sre.PrefixRules.defineRule_)("rightsub",
-"prefix.default",'[t] CSFordinalPosition; [t] "Right Subscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="rightsub"');(0,sre.PrefixRules.defineRule_)("rightsuper","prefix.default",'[t] "Right Superscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="rightsuper"');(0,sre.PrefixRules.defineRule_)("rightsuper","prefix.default",'[t] CSFordinalPosition; [t] "Right Superscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"',
-'../../@role="rightsuper"');(0,sre.PrefixRules.defineRule_)("choice","prefix.default",'[t] "Choice Quantity"; [p] (pause:200)',"self::line",'@role="binomial"',"parent::*/parent::vector","count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("select","prefix.default",'[t] "Selection Quantity"; [p] (pause:200)',"self::line",'@role="binomial"',"parent::*/parent::vector","count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("row","prefix.default",'[t] CSFordinalPosition; [t] "Row"; [p] (pause:200)',
-"self::row");(0,sre.PrefixRules.defineRuleAlias_)("row","self::line");(0,sre.PrefixRules.defineRule_)("cell","prefix.default",'[n] ../..; [t] CSFordinalPosition; [t] "Column"; [p] (pause:200)',"self::cell",'contains(@grammar,"depth")');(0,sre.PrefixRules.defineRule_)("cell","prefix.default",'[t] CSFordinalPosition; [t] "Column"; [p] (pause:200)',"self::cell")};sre.PrefixRules.getInstance().initializer=[sre.PrefixRules.initCustomFunctions_,sre.PrefixRules.initPrefixRules_];sre.PrefixSpanish=function(){sre.MathStore.call(this);this.locale="es"};goog.inherits(sre.PrefixSpanish,sre.MathStore);goog.addSingletonGetter(sre.PrefixSpanish);sre.PrefixSpanish.mathStore=sre.PrefixSpanish.getInstance();sre.PrefixSpanish.defineRule_=goog.bind(sre.PrefixSpanish.mathStore.defineRule,sre.PrefixSpanish.mathStore);sre.PrefixSpanish.defineRuleAlias_=goog.bind(sre.PrefixSpanish.mathStore.defineRulesAlias,sre.PrefixSpanish.mathStore);
-sre.PrefixSpanish.addCustomString_=goog.bind(sre.PrefixSpanish.mathStore.customStrings.add,sre.PrefixSpanish.mathStore.customStrings);sre.PrefixSpanish.ordinalPosition=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes);return sre.MathspeakUtil.simpleOrdinal(b.indexOf(a)+1).toString()};sre.PrefixSpanish.initCustomFunctions_=function(){(0,sre.PrefixSpanish.addCustomString_)("CSFordinalPosition",sre.PrefixSpanish.ordinalPosition)};
-sre.PrefixSpanish.initPrefixSpanish_=function(){(0,sre.PrefixSpanish.defineRule_)("numerator","prefix.default",'[t] "numerador"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=0");(0,sre.PrefixSpanish.defineRule_)("denominator","prefix.default",'[t] "denominador"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("base","prefix.default",'[t] "base"; [p] (pause:200)',"self::*",'name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor"',
-"count(preceding-sibling::*)=0");(0,sre.PrefixSpanish.defineRule_)("exponent","prefix.default",'[t] "exponente"; [p] (pause:200)',"self::*",'name(../..)="superscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("subscript","prefix.default",'[t] "sub\u00edndice"; [p] (pause:200)',"self::*",'name(../..)="subscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("overscript","prefix.default",'[t] "overscript"; [p] (pause:200)',"self::*",'name(../..)="overscore"',
-"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("underscript","prefix.default",'[t] "underscript"; [p] (pause:200)',"self::*",'name(../..)="underscore"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("radicand","prefix.default",'[t] "radicand"; [p] (pause:200)',"self::*",'name(../..)="sqrt"');(0,sre.PrefixSpanish.defineRule_)("radicand","prefix.default",'[t] "radicand"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("index",
-"prefix.default",'[t] "\u00edndice"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=0");(0,sre.PrefixSpanish.defineRule_)("leftsub","prefix.default",'[t] "sub\u00edndice izquierdo"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsub"');(0,sre.PrefixSpanish.defineRule_)("leftsub","prefix.default",'[t] CSFordinalPosition; [t] "sub\u00edndice izquierdo"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsub"');
-(0,sre.PrefixSpanish.defineRule_)("leftsuper","prefix.default",'[t] "super\u00edndice izquierdo"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsuper"');(0,sre.PrefixSpanish.defineRule_)("leftsuper","prefix.default",'[t] CSFordinalPosition; [t] "super\u00edndice izquierdo"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsuper"');(0,sre.PrefixSpanish.defineRule_)("rightsub","prefix.default",'[t] "derecha sub\u00edndice"; [p] (pause:200)',
-"self::*",'name(../..)="tensor"','@role="rightsub"');(0,sre.PrefixSpanish.defineRule_)("rightsub","prefix.default",'[t] CSFordinalPosition; [t] "derecha sub\u00edndice"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="rightsub"');(0,sre.PrefixSpanish.defineRule_)("rightsuper","prefix.default",'[t] "super\u00edndice derecho"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="rightsuper"');(0,sre.PrefixSpanish.defineRule_)("rightsuper","prefix.default",
-'[t] CSFordinalPosition; [t] "super\u00edndice derecho"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="rightsuper"');(0,sre.PrefixSpanish.defineRule_)("choice","prefix.default",'[t] "cantidad de elecci\u00f3n"; [p] (pause:200)',"self::line",'@role="binomial"',"parent::*/parent::vector","count(preceding-sibling::*)=0");(0,sre.PrefixSpanish.defineRule_)("select","prefix.default",'[t] "cantidad de selecci\u00f3n"; [p] (pause:200)',"self::line",'@role="binomial"',
-"parent::*/parent::vector","count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("row","prefix.default",'[t] CSFordinalPosition; [t] "fila"; [p] (pause:200)',"self::row");(0,sre.PrefixSpanish.defineRuleAlias_)("row","self::line");(0,sre.PrefixSpanish.defineRule_)("cell","prefix.default",'[n] ../..; [t] CSFordinalPosition; [t] "columna"; [p] (pause:200)',"self::cell",'contains(@grammar,"depth")');(0,sre.PrefixSpanish.defineRule_)("cell","prefix.default",'[t] CSFordinalPosition; [t] "columna"; [p] (pause:200)',
-"self::cell")};sre.PrefixSpanish.getInstance().initializer=[sre.PrefixSpanish.initCustomFunctions_,sre.PrefixSpanish.initPrefixSpanish_];sre.SemanticTreeRules=function(){sre.MathStore.call(this)};goog.inherits(sre.SemanticTreeRules,sre.MathStore);goog.addSingletonGetter(sre.SemanticTreeRules);sre.SemanticTreeRules.mathStore=sre.SemanticTreeRules.getInstance();sre.SemanticTreeRules.defineRule_=goog.bind(sre.SemanticTreeRules.mathStore.defineRule,sre.SemanticTreeRules.mathStore);sre.SemanticTreeRules.defineRuleAlias_=goog.bind(sre.SemanticTreeRules.mathStore.defineRuleAlias,sre.SemanticTreeRules.mathStore);
-sre.SemanticTreeRules.addContextFunction_=goog.bind(sre.SemanticTreeRules.mathStore.contextFunctions.add,sre.SemanticTreeRules.mathStore.contextFunctions);sre.SemanticTreeRules.initCustomFunctions_=function(){(0,sre.SemanticTreeRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.SemanticTreeRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator)};
-sre.SemanticTreeRules.initSemanticRules_=function(){(0,sre.SemanticTreeRules.defineRule_)("stree","default.default","[n] ./*[1]","self::stree");(0,sre.SemanticTreeRules.defineRule_)("multrel","default.default",'[t] "multirelation"; [m] children/* (sepFunc:CTXFcontentIterator)',"self::multirel");(0,sre.SemanticTreeRules.defineRule_)("variable-equality","default.default",'[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',
-"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.SemanticTreeRules.defineRule_)("multi-equality","default.default",'[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");(0,sre.SemanticTreeRules.defineRule_)("multi-equality","default.short",'[t] "equation sequence"; [m] children/* (sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");
-(0,sre.SemanticTreeRules.defineRule_)("equality","default.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2");(0,sre.SemanticTreeRules.defineRule_)("simple-equality","default.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/identifier or ./children/number");(0,sre.SemanticTreeRules.defineRule_)("simple-equality2",
-"default.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/function or ./children/appl");(0,sre.SemanticTreeRules.defineRule_)("relseq","default.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.SemanticTreeRules.defineRule_)("binary-operation","default.default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop");(0,sre.SemanticTreeRules.defineRule_)("variable-addition",
-"default.default",'[t] "sum with variable number of summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator)','self::infixop[@role="addition"]',"count(children/*)>2",'children/punctuation[@role="ellipsis"]');(0,sre.SemanticTreeRules.defineRule_)("multi-addition","default.default",'[t] "sum with"; [t] count(./children/*); [t] "summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator)','self::infixop[@role="addition"]',"count(./children/*)>2");(0,sre.SemanticTreeRules.defineRule_)("prefix",
-"default.default",'[t] "prefix"; [n] text(); [t] "of" (pause 150);[n] children/*[1]',"self::prefixop");(0,sre.SemanticTreeRules.defineRule_)("negative","default.default",'[t] "negative"; [n] children/*[1]',"self::prefixop",'self::prefixop[@role="negative"]');(0,sre.SemanticTreeRules.defineRule_)("postfix","default.default",'[n] children/*[1]; [t] "postfix"; [n] text() (pause 300)',"self::postfixop");(0,sre.SemanticTreeRules.defineRule_)("identifier","default.default","[n] text()","self::identifier");
-(0,sre.SemanticTreeRules.defineRule_)("number","default.default","[n] text()","self::number");(0,sre.SemanticTreeRules.defineRule_)("mixed-number","default.default",'[n] children/*[1]; [t] "and"; [n] children/*[2]; ',"self::number",'@role="mixed"');(0,sre.SemanticTreeRules.defineRule_)("font","default.default","[t] @font; [n] . (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"');(0,sre.SemanticTreeRules.defineRule_)("font-identifier-short","default.default",
-"[t] @font; [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")',
-'@role!="unit"');(0,sre.SemanticTreeRules.defineRule_)("font-identifier","default.default","[t] @font; [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.SemanticTreeRules.defineRule_)("omit-font","default.default","[n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.SemanticTreeRules.defineRule_)("fraction",
-"default.default",'[p] (pause:250); [n] children/*[1] (rate:0.35); [p] (pause:250); [t] "divided by"; [n] children/*[2] (rate:-0.35); [p] (pause:400)',"self::fraction");(0,sre.SemanticTreeRules.defineRule_)("superscript","default.default",'[n] children/*[1]; [t] "super"; [n] children/*[2] (pitch:0.35);[p] (pause:300)',"self::superscript");(0,sre.SemanticTreeRules.defineRule_)("subscript","default.default",'[n] children/*[1]; [t] "sub"; [n] children/*[2] (pitch:-0.35);[p] (pause:300)',"self::subscript");
-(0,sre.SemanticTreeRules.defineRule_)("ellipsis","default.default",'[p] (pause:200); [t] "ellipsis"; [p] (pause:300)',"self::punctuation",'self::punctuation[@role="ellipsis"]');(0,sre.SemanticTreeRules.defineRule_)("fence-single","default.default","[n] text()","self::punctuation",'self::punctuation[@role="openfence"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="closefence"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punctuation",
-'self::punctuation[@role="vbar"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="application"]');(0,sre.SemanticTreeRules.defineRule_)("omit-empty","default.default","[p] (pause:100)","self::empty");(0,sre.SemanticTreeRules.defineRule_)("fences-open-close","default.default","[p] (pause:100); [n] content/*[1]; [n] children/*[1]; [n] content/*[2]; [p] (pause:100)","self::fenced",'@role="leftright"');(0,sre.SemanticTreeRules.defineRule_)("fences-open-close-in-appl",
-"default.default","[p] (pause:200); [n] children/*[1]; [p] (pause:200);",'self::fenced[@role="leftright"]',"./parent::children/parent::appl");(0,sre.SemanticTreeRules.defineRule_)("fences-neutral","default.default",'[p] (pause:100); [t] "absolute value of"; [n] children/*[1];[p] (pause:350);',"self::fenced",'self::fenced[@role="neutral"]');(0,sre.SemanticTreeRules.defineRule_)("omit-fences","default.default","[p] (pause:500); [n] children/*[1]; [p] (pause:200);","self::fenced");(0,sre.SemanticTreeRules.defineRule_)("matrix",
-"default.default",'[t] "matrix"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::matrix");(0,sre.SemanticTreeRules.defineRule_)("matrix-row","default.default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)','self::row[@role="matrix"]');(0,sre.SemanticTreeRules.defineRule_)("matrix-cell","default.default","[n] children/*[1]",'self::cell[@role="matrix"]');(0,sre.SemanticTreeRules.defineRule_)("vector","default.default",'[t] "vector"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"element",pause:100)',
-"self::vector");(0,sre.SemanticTreeRules.defineRule_)("cases","default.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100)',"self::cases");(0,sre.SemanticTreeRules.defineRule_)("cases-row","default.default","[m] children/*",'self::row[@role="cases"]');(0,sre.SemanticTreeRules.defineRule_)("cases-cell","default.default","[n] children/*[1]",'self::cell[@role="cases"]');(0,sre.SemanticTreeRules.defineRule_)("row","default.default",'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',
-"self::row");(0,sre.SemanticTreeRules.defineRule_)("cases-end","default.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100);[t] "end cases"',"self::cases","following-sibling::*");(0,sre.SemanticTreeRules.defineRule_)("multiline","default.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"line",pause:100)',"self::multiline");(0,sre.SemanticTreeRules.defineRule_)("multiline-ineq","default.default",'[t] "multiline inequality";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',
-"self::multiline",'@role="inequality"');(0,sre.SemanticTreeRules.defineRule_)("line","default.default","[m] children/*","self::line");(0,sre.SemanticTreeRules.defineRule_)("table","default.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table");(0,sre.SemanticTreeRules.defineRule_)("table-ineq","default.default",'[t] "multiline inequality";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table",'@role="inequality"');
-(0,sre.SemanticTreeRules.defineRule_)("table-row","default.default","[m] children/* (pause:100)",'self::row[@role="table"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("cases-cell",'self::cell[@role="table"]');(0,sre.SemanticTreeRules.defineRule_)("empty-cell","mathspeak.default",'[t] "Blank"',"self::cell","count(children/*)=0");(0,sre.SemanticTreeRules.defineRule_)("end-punct","default.default","[m] children/*; [p] (pause:300)","self::punctuated",'@role="endpunct"');(0,sre.SemanticTreeRules.defineRule_)("start-punct",
-"default.default","[n] content/*[1]; [p] (pause:200); [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.SemanticTreeRules.defineRule_)("integral-punct","default.default","[n] children/*[1] (rate:0.2); [n] children/*[3] (rate:0.2)","self::punctuated",'@role="integral"');(0,sre.SemanticTreeRules.defineRule_)("punctuated","default.default","[m] children/* (pause:100)","self::punctuated");(0,sre.SemanticTreeRules.defineRule_)("function","default.default","[n] text()","self::function");
-(0,sre.SemanticTreeRules.defineRule_)("appl","default.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::appl");(0,sre.SemanticTreeRules.defineRule_)("sum-only","default.default",'[n] children/*[1]; [t] "from"; [n] children/*[2]; [t] "to";[n] children/*[3]',"self::limboth",'self::limboth[@role="sum"]');(0,sre.SemanticTreeRules.defineRule_)("limboth","default.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[t] "under"; [n] children/*[3]; [p] (pause 250);',
-"self::limboth");(0,sre.SemanticTreeRules.defineRule_)("limlower","default.default",'[n] children/*[1]; [t] "over"; [n] children/*[2];',"self::limlower");(0,sre.SemanticTreeRules.defineRule_)("limupper","default.default",'[n] children/*[1]; [t] "under"; [n] children/*[2];',"self::limupper");(0,sre.SemanticTreeRules.defineRule_)("largeop","default.default","[n] text()","self::largeop");(0,sre.SemanticTreeRules.defineRule_)("bigop","default.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[p] (pause 250);',
-"self::bigop");(0,sre.SemanticTreeRules.defineRule_)("integral","default.default","[n] children/*[1]; [p] (pause 100); [n] children/*[2];[p] (pause 200); [n] children/*[3] (rate:0.35);","self::integral");(0,sre.SemanticTreeRules.defineRule_)("sqrt","default.default",'[t] "Square root of"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::sqrt");(0,sre.SemanticTreeRules.defineRule_)("square","default.default",'[n] children/*[1]; [t] "squared" (pitch:0.35); [p] (pause:300)',"self::superscript",
-"children/*[2][text()=2]",'name(./children/*[1])!="text"');(0,sre.SemanticTreeRules.defineRule_)("cube","default.default",'[n] children/*[1]; [t] "cubed" (pitch:0.35); [p] (pause:300)',"self::superscript","children/*[2][text()=3]",'name(./children/*[1])!="text"');(0,sre.SemanticTreeRules.defineRule_)("root","default.default",'[t] "root of order"; [n] children/*[1];[t] "over"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::root");(0,sre.SemanticTreeRules.defineRule_)("text","default.default",
-"[n] text(); [p] (pause:200)","self::text");(0,sre.SemanticTreeRules.defineRule_)("unit","default.default",'[t] text() (grammar:annotation="unit":translate)',"self::identifier",'@role="unit"');(0,sre.SemanticTreeRules.defineRule_)("unit-square","default.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.SemanticTreeRules.defineRule_)("unit-cubic","default.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",
-'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.SemanticTreeRules.defineRule_)("reciprocal","default.default",'[t] "reciprocal"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');(0,sre.SemanticTreeRules.defineRule_)("reciprocal","default.default",
-'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'preceding-sibling::*[@role="unit"]');(0,sre.SemanticTreeRules.defineRule_)("unit-combine","default.default","[m] children/*","self::infixop",'@role="unit"');(0,sre.SemanticTreeRules.defineRule_)("unit-divide","default.default",'[n] children/*[1] (pitch:0.3); [t] "per"; [n] children/*[2] (pitch:-0.3)',
-"self::fraction",'@role="unit"')};sre.SemanticTreeRules.getInstance().initializer=[sre.SemanticTreeRules.initCustomFunctions_,sre.SemanticTreeRules.initSemanticRules_];sre.SpeechRuleStores={};sre.SpeechRuleStores.RULE_SETS_={MathmlStoreRules:sre.MathmlStoreRules,SemanticTreeRules:sre.SemanticTreeRules,MathspeakRules:sre.MathspeakRules,MathspeakSpanish:sre.MathspeakSpanish,ClearspeakRules:sre.ClearspeakRules,EmacspeakRules:sre.EmacspeakRules,AbstractionRules:sre.AbstractionRules,AbstractionSpanish:sre.AbstractionSpanish,PrefixRules:sre.PrefixRules,PrefixSpanish:sre.PrefixSpanish};sre.SpeechRuleStores.availableSets=function(){return Object.keys(sre.SpeechRuleStores.RULE_SETS_)};
-sre.SpeechRuleStores.getConstructor=function(a){return(a=sre.SpeechRuleStores.RULE_SETS_[a])?a:null};sre.SpeechRuleEngine=function(){this.activeStore_=null;this.cache_={};this.ready_=!0;this.combinedStores_={};sre.Engine.registerTest(goog.bind(function(a){return this.ready_},this))};goog.addSingletonGetter(sre.SpeechRuleEngine);sre.SpeechRuleEngine.prototype.parameterize=function(a){for(var b={},c=0,d=a.length;c<d;c++){var e=a[c],f=sre.SpeechRuleStores.getConstructor(e);f&&f.getInstance&&(b[e]=f.getInstance())}this.parameterize_(b)};
-sre.SpeechRuleEngine.prototype.parameterize_=function(a){try{this.activeStore_=this.combineStores_(a)}catch(b){if("StoreError"==b.name)console.log("Store Error:",b.message);else throw b;}this.updateEngine()};sre.SpeechRuleEngine.prototype.constructString=function(a,b){if(!b)return"";if('"'==b.charAt(0))return b.slice(1,-1);var c=this.activeStore_.customStrings.lookup(b);return c?c(a):sre.XpathUtil.evaluateString(b,a)};sre.SpeechRuleEngine.prototype.clearCache=function(){this.cache_={}};
-sre.SpeechRuleEngine.prototype.forCache=function(a){for(var b in this.cache_)a(b,this.cache_[b])};sre.SpeechRuleEngine.prototype.getCacheForNode_=function(a){if(!a||!a.getAttribute)return null;a=a.getAttribute("id");return"undefined"===a||""===a?null:this.getCache(a)};sre.SpeechRuleEngine.prototype.getCache=function(a){return(a=this.cache_[a])?this.cloneCache(a):a};sre.SpeechRuleEngine.prototype.cloneCache=function(a){return a.map(function(a){return a.clone()})};
+sre.BaseRuleStore.prototype.parseCstr=function(a){return this.parser.parse(this.locale+"."+this.modality+(this.domain?"."+this.domain:"")+"."+a)};sre.BaseRuleStore.prototype.parse=function(a){this.modality=a.modality||this.modality;this.locale=a.locale||this.locale;this.domain=a.domain||this.domain;this.context.parse(a.functions||[]);this.parseRules(a.rules||[])};sre.BaseRuleStore.prototype.parseRules=function(a){for(var b=0,c;c=a[b];b++){var d=c[0],e=this.parseMethods[d];d&&e&&e.apply(this,c.slice(1))}};sre.MathStore=function(){sre.BaseRuleStore.call(this);this.initializer=[];this.parseMethods.Alias=goog.bind(this.defineRuleAlias,this);this.parseMethods.Aliases=goog.bind(this.defineRulesAlias,this);this.parseMethods.UniqueAlias=goog.bind(this.defineUniqueRuleAlias,this);this.parseMethods.SpecializedRule=goog.bind(this.defineSpecialisedRule,this)};goog.inherits(sre.MathStore,sre.BaseRuleStore);
+sre.MathStore.prototype.initialize=function(){if(!this.initialized){for(var a=0,b;b=this.initializer[a];a++)b(this);this.setSpeechRules(this.trie.collectRules());this.initialized=!0}};
+sre.MathStore.prototype.defineUniqueRuleAlias=function(a,b,c,d){var e=this.parseCstr(b),f=this.findRule(goog.bind(function(g){return g.name==a&&e.equal(g.dynamicCstr)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");this.addAlias_(f,c,Array.prototype.slice.call(arguments,3))};
+sre.MathStore.prototype.defineRuleAlias=function(a,b,c){var d=this.findRule(function(e){return e.name==a});if(!d)throw new sre.SpeechRule.OutputError("Rule with named "+a+" does not exist.");this.addAlias_(d,b,Array.prototype.slice.call(arguments,2))};
+sre.MathStore.prototype.defineRulesAlias=function(a,b,c){var d=this.findAllRules(function(g){return g.name==a});if(0==d.length)throw new sre.SpeechRule.OutputError("Rule with name "+a+" does not exist.");var e=Array.prototype.slice.call(arguments,2),f=[];d.forEach(goog.bind(function(g){a:{var h=g.dynamicCstr.toString();for(var k=g.action.toString(),l=0,m;m=f[l];l++)if(m.action===k&&m.cstr===h){h=!1;break a}f.push({cstr:h,action:k});h=!0}h&&this.addAlias_(g,b,e)},this))};
+sre.MathStore.prototype.addAlias_=function(a,b,c){b=new sre.SpeechRule.Precondition(b,c);b=new sre.SpeechRule(a.name,a.dynamicCstr,b,a.action);b.name=a.name;this.addRule(b)};
+sre.MathStore.prototype.defineSpecialisedRule=function(a,b,c,d){var e=this.parseCstr(b),f=this.findRule(goog.bind(function(g){return g.name==a&&e.equal(g.dynamicCstr)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");b=this.parseCstr(c);d=d?sre.SpeechRule.Action.fromString(d):f.action;f=new sre.SpeechRule(f.name,b,f.precondition,d);this.addRule(f)};sre.MathStore.prototype.evaluateDefault=function(a){return this.evaluateString_(a.textContent)};
+sre.MathStore.prototype.evaluateString_=function(a){var b=[];if(a.match(/^\s+$/))return b;var c=this.matchNumber_(a);if(c&&c.length===a.length)return b.push(this.evaluate_(c.number)),b;a=sre.BaseUtil.removeEmpty(a.replace(/\s/g," ").split(" "));for(var d=0;c=a[d];d++)if(1==c.length)b.push(this.evaluate_(c));else if(c.match(new RegExp("^["+sre.Messages.REGEXP.TEXT+"]+$")))b.push(this.evaluate_(c));else for(var e=c;e;){c=this.matchNumber_(e);var f=e.match(new RegExp("^["+sre.Messages.REGEXP.TEXT+"]+"));
+c?(b.push(this.evaluate_(c.number)),e=e.substring(c.length)):f?(b.push(this.evaluate_(f[0])),e=e.substring(f[0].length)):(c=e[0].charCodeAt(0),55296<=c&&56319>=c&&1<e.length&&!isNaN(e.charCodeAt(1))?(b.push(this.evaluate_(e.slice(0,2))),e=e.substring(2)):(b.push(this.evaluate_(e[0])),e=e.substring(1)))}return b};
+sre.MathStore.prototype.matchNumber_=function(a){var b=a.match(new RegExp("^"+sre.Messages.REGEXP.NUMBER)),c=a.match(new RegExp("^"+sre.Locale.en.REGEXP.NUMBER));if(!b&&!c)return null;var d=c&&c[0]===a;return b&&b[0]===a||!d?{number:b[0],length:b[0].length}:{number:c[0].replace(new RegExp(sre.Locale.en.REGEXP.DIGIT_GROUP,"g"),"X").replace(new RegExp(sre.Locale.en.REGEXP.DECIMAL_MARK,"g"),sre.Messages.REGEXP.DECIMAL_MARK).replace(/X/g,sre.Messages.REGEXP.DIGIT_GROUP.replace(/\\/g,"")),length:c[0].length}};
+sre.MathStore.prototype.evaluate_=function(a){return sre.AuditoryDescription.create({text:a},{adjust:!0,translate:!0})};sre.MathStore.prototype.parse=function(a){sre.MathStore.superClass_.parse.call(this,a);this.initializer=a.initialize||[]};sre.BrailleStore=function(){sre.MathStore.call(this);this.modality="braille"};goog.inherits(sre.BrailleStore,sre.MathStore);
+sre.BrailleStore.prototype.evaluateDefault=function(a){a=a.textContent.slice(0);var b=[];if(a.match(/^\s+$/))return b;for(;a;){var c=a[0],d=c.charCodeAt(0);55296<=d&&56319>=d&&1<a.length&&!isNaN(a.charCodeAt(1))?(b.push(sre.AuditoryDescription.create({text:a.slice(0,2)},{adjust:!0,translate:!0})),a=a.substring(2)):(b.push(sre.AuditoryDescription.create({text:c},{adjust:!0,translate:!0})),a=a.substring(1))}return b};sre.ClearspeakPreferences=function(a,b){sre.DynamicCstr.call(this,a);this.preference=b};goog.inherits(sre.ClearspeakPreferences,sre.DynamicCstr);sre.ClearspeakPreferences.prototype.equal=function(a){if(!sre.ClearspeakPreferences.superClass_.equal.call(this,a))return!1;var b=Object.keys(this.preference);a=a.preference;if(b.length!==Object.keys(a).length)return!1;for(var c=0,d;d=b[c];c++)if(this.preference[d]!==a[d])return!1;return!0};sre.ClearspeakPreferences.AUTO="Auto";
+sre.ClearspeakPreferences.PREFERENCES=new sre.DynamicProperties({AbsoluteValue:["Auto","AbsEnd","Cardinality","Determinant"],Bar:["Auto","Conjugate"],Caps:["Auto","SayCaps"],CombinationPermutation:["Auto","ChoosePermute"],Currency:["Auto","Position","Prefix"],Ellipses:["Auto","AndSoOn"],Exponent:["Auto","AfterPower","Ordinal","OrdinalPower","Exponent"],Fraction:"Auto EndFrac FracOver General GeneralEndFrac Ordinal Over OverEndFrac Per".split(" "),Functions:["Auto","None","Reciprocal"],ImpliedTimes:["Auto",
+"MoreImpliedTimes","None"],Log:["Auto","LnAsNaturalLog"],Matrix:"Auto Combinatoric EndMatrix EndVector SilentColNum SpeakColNum Vector".split(" "),MultiLineLabel:"Auto Case Constraint Equation Line None Row Step".split(" "),MultiLineOverview:["Auto","None"],MultiLinePausesBetweenColumns:["Auto","Long","Short"],MultsymbolDot:["Auto","Dot"],MultsymbolX:["Auto","By","Cross"],Paren:"Auto CoordPoint Interval Silent Speak SpeakNestingLevel".split(" "),Prime:["Auto","Angle","Length"],Roots:["Auto","PosNegSqRoot",
+"PosNegSqRootEnd","RootEnd"],SetMemberSymbol:["Auto","Belongs","Element","Member"],Sets:["Auto","SilentBracket","woAll"],TriangleSymbol:["Auto","Delta"],Trig:["Auto","ArcTrig","TrigInverse","Reciprocal"],VerticalLine:["Auto","Divides","Given","SuchThat"]});
+sre.ClearspeakPreferences.comparator=function(){return new sre.ClearspeakPreferences.Comparator(sre.Engine.getInstance().dynamicCstr,sre.DynamicProperties.create([sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE]]))};
+sre.ClearspeakPreferences.Comparator=function(a,b){sre.DynamicCstr.DefaultComparator.call(this,a,b);this.preference=a.preference||{}};goog.inherits(sre.ClearspeakPreferences.Comparator,sre.DynamicCstr.DefaultComparator);sre.ClearspeakPreferences.Comparator.prototype.match=function(a){if(!sre.ClearspeakPreferences.Comparator.superClass_.match.call(this,a))return!1;if(!a.preference)return!0;for(var b=Object.keys(a.preference),c=0,d;d=b[c];c++)if(this.preference[d]!==a.preference[d])return!1;return!0};
+sre.ClearspeakPreferences.Comparator.prototype.compare=function(a,b){var c=sre.ClearspeakPreferences.Comparator.superClass_.compare.call(this,a,b);if(0!==c)return c;if(!a.preference&&b.preference)return 1;if(a.preference&&!b.preference)return-1;if(!a.preference&&!b.preference)return 0;a=Object.keys(a.preference).length;b=Object.keys(b.preference).length;return a>b?-1:a<b?1:0};
+sre.ClearspeakPreferences.Parser=function(){sre.DynamicCstr.Parser.call(this,[sre.DynamicCstr.Axis.LOCALE,sre.DynamicCstr.Axis.MODALITY,sre.DynamicCstr.Axis.DOMAIN,sre.DynamicCstr.Axis.STYLE])};goog.inherits(sre.ClearspeakPreferences.Parser,sre.DynamicCstr.Parser);
+sre.ClearspeakPreferences.Parser.prototype.parse=function(a){var b=sre.ClearspeakPreferences.Parser.superClass_.parse.call(this,a);a=b.getValue(sre.DynamicCstr.Axis.STYLE);b=b.getValue(sre.DynamicCstr.Axis.LOCALE);var c={};a!==sre.DynamicCstr.DEFAULT_VALUE&&(c=this.fromPreference(a),a=this.toPreference(c));return new sre.ClearspeakPreferences({locale:b,modality:sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY],domain:"clearspeak",style:a},c)};
+sre.ClearspeakPreferences.Parser.prototype.fromPreference=function(a){return sre.ClearspeakPreferences.fromPreference(a)};sre.ClearspeakPreferences.fromPreference=function(a){a=a.split(":");for(var b={},c=sre.ClearspeakPreferences.PREFERENCES.getProperties(),d=Object.keys(c),e=0,f;f=a[e];e++)if(f=f.split("_"),-1!==d.indexOf(f[0])){var g=f[1];g&&g!==sre.ClearspeakPreferences.AUTO&&-1!==c[f[0]].indexOf(g)&&(b[f[0]]=f[1])}return b};sre.ClearspeakPreferences.Parser.prototype.toPreference=function(a){return sre.ClearspeakPreferences.toPreference(a)};
+sre.ClearspeakPreferences.toPreference=function(a){for(var b=Object.keys(a),c=[],d=0;d<b.length;d++)c.push(b[d]+"_"+a[b[d]]);return c.length?c.join(":"):sre.DynamicCstr.DEFAULT_VALUE};sre.ClearspeakPreferences.LOCALE_PREFERENCES=null;
+sre.ClearspeakPreferences.getLocalePreferences=function(a){sre.ClearspeakPreferences.LOCALE_PREFERENCES||(a=a||sre.MathCompoundStore.getInstance().enumerate(sre.SpeechRuleEngine.getInstance().enumerate()),sre.ClearspeakPreferences.LOCALE_PREFERENCES=sre.ClearspeakPreferences.getLocalePreferences_(a));return sre.ClearspeakPreferences.LOCALE_PREFERENCES};
+sre.ClearspeakPreferences.getLocalePreferences_=function(a){var b={},c;for(c in a)if(a[c].speech&&a[c].speech.clearspeak){var d=Object.keys(a[c].speech.clearspeak),e=b[c]={},f;for(f in sre.ClearspeakPreferences.PREFERENCES.getProperties()){var g=sre.ClearspeakPreferences.PREFERENCES.getProperties()[f],h=[f+"_Auto"];if(g){g=$jscomp.makeIterator(g);for(var k=g.next();!k.done;k=g.next())k=k.value,-1!==d.indexOf(f+"_"+k)&&h.push(f+"_"+k)}e[f]=h}}return b};
+sre.ClearspeakPreferences.getSpeechExplorer=function(a){return(a=a.attached)&&a.length?a.find(function(b){return b.speechGenerator&&"speech"===b.speechGenerator.getOptions().modality}):null};
+sre.ClearspeakPreferences.smartPreferences=function(a,b){b=sre.ClearspeakPreferences.getLocalePreferences()[b];if(!b)return[];a=sre.ClearspeakPreferences.getSpeechExplorer(a);if(!a)return[{type:"radio",content:"Standard",id:"clearspeak-default",variable:"speechRules"}];a=sre.ClearspeakPreferences.relevantPreferences(a.walker.getFocus().getSemanticPrimary());var c=sre.Engine.DOMAIN_TO_STYLES.clearspeak;return[{type:"radio",content:"No Preferences",id:"clearspeak-default",variable:"speechRules"},{type:"radio",
+content:"Current Preferences",id:"clearspeak-"+c,variable:"speechRules"},{type:"rule"},{type:"label",content:"Preferences for "+a},{type:"rule"}].concat(b[a].map(function(d){d=d.split("_");return{type:"radio",content:d[1],id:"clearspeak-"+sre.ClearspeakPreferences.addPreference(c,d[0],d[1]),variable:"speechRules"}}))};sre.ClearspeakPreferences.relevantPreferences=function(a){var b=sre.ClearspeakPreferences.SEMANTIC_MAPPING_[a.type];return b?b[a.role]||b[""]||"ImpliedTimes":"ImpliedTimes"};
+sre.ClearspeakPreferences.REVERSE_MAPPING_=[["AbsoluteValue",sre.SemanticAttr.Type.FENCED,sre.SemanticAttr.Role.NEUTRAL],["Bar",sre.SemanticAttr.Type.OVERSCORE,sre.SemanticAttr.Role.OVERACCENT],["Caps",sre.SemanticAttr.Type.IDENTIFIER,sre.SemanticAttr.Role.LATINLETTER],["CombinationPermutation",sre.SemanticAttr.Type.APPL,sre.SemanticAttr.Role.UNKNOWN],["Ellipses",sre.SemanticAttr.Type.PUNCTUATION,sre.SemanticAttr.Role.ELLIPSIS],["Exponent",sre.SemanticAttr.Type.SUPERSCRIPT,""],["Fraction",sre.SemanticAttr.Type.FRACTION,
+""],["Functions",sre.SemanticAttr.Type.APPL,sre.SemanticAttr.Role.SIMPLEFUNC],["ImpliedTimes",sre.SemanticAttr.Type.OPERATOR,sre.SemanticAttr.Role.IMPLICIT],["Log",sre.SemanticAttr.Type.APPL,sre.SemanticAttr.Role.PREFIXFUNC],["Matrix",sre.SemanticAttr.Type.MATRIX,""],["Matrix",sre.SemanticAttr.Type.VECTOR,""],["MultiLineLabel",sre.SemanticAttr.Type.MULTILINE,sre.SemanticAttr.Role.LABEL],["MultiLineOverview",sre.SemanticAttr.Type.MULTILINE,sre.SemanticAttr.Role.TABLE],["MultiLinePausesBetweenColumns",
+sre.SemanticAttr.Type.MULTILINE,sre.SemanticAttr.Role.TABLE],["MultiLineLabel",sre.SemanticAttr.Type.TABLE,sre.SemanticAttr.Role.LABEL],["MultiLineOverview",sre.SemanticAttr.Type.TABLE,sre.SemanticAttr.Role.TABLE],["MultiLinePausesBetweenColumns",sre.SemanticAttr.Type.TABLE,sre.SemanticAttr.Role.TABLE],["MultiLineLabel",sre.SemanticAttr.Type.CASES,sre.SemanticAttr.Role.LABEL],["MultiLineOverview",sre.SemanticAttr.Type.CASES,sre.SemanticAttr.Role.TABLE],["MultiLinePausesBetweenColumns",sre.SemanticAttr.Type.CASES,
+sre.SemanticAttr.Role.TABLE],["MultsymbolDot",sre.SemanticAttr.Type.OPERATOR,sre.SemanticAttr.Role.MULTIPLICATION],["MultsymbolX",sre.SemanticAttr.Type.OPERATOR,sre.SemanticAttr.Role.MULTIPLICATION],["Paren",sre.SemanticAttr.Type.FENCED,sre.SemanticAttr.Role.LEFTRIGHT],["Prime",sre.SemanticAttr.Type.SUPERSCRIPT,sre.SemanticAttr.Role.PRIME],["Roots",sre.SemanticAttr.Type.ROOT,""],["Roots",sre.SemanticAttr.Type.SQRT,""],["SetMemberSymbol",sre.SemanticAttr.Type.RELATION,sre.SemanticAttr.Role.ELEMENT],
+["Sets",sre.SemanticAttr.Type.FENCED,sre.SemanticAttr.Role.SETEXT],["TriangleSymbol",sre.SemanticAttr.Type.IDENTIFIER,sre.SemanticAttr.Role.GREEKLETTER],["Trig",sre.SemanticAttr.Type.APPL,sre.SemanticAttr.Role.PREFIXFUNC],["VerticalLine",sre.SemanticAttr.Type.PUNCTUATED,sre.SemanticAttr.Role.VBAR]];sre.ClearspeakPreferences.SEMANTIC_MAPPING_=function(){for(var a={},b=0,c;c=sre.ClearspeakPreferences.REVERSE_MAPPING_[b];b++){var d=c[0],e=a[c[1]];e||(e={},a[c[1]]=e);e[c[2]]=d}return a}();
+sre.ClearspeakPreferences.findPreference=function(a,b){return"default"===a?sre.ClearspeakPreferences.AUTO:sre.ClearspeakPreferences.fromPreference(a)[b]||sre.ClearspeakPreferences.AUTO};sre.ClearspeakPreferences.addPreference=function(a,b,c){if("default"===a)return b+"_"+c;a=sre.ClearspeakPreferences.fromPreference(a);a[b]=c;return sre.ClearspeakPreferences.toPreference(a)};sre.Engine.getInstance().comparators.clearspeak=sre.ClearspeakPreferences.comparator;
+sre.Engine.getInstance().parsers.clearspeak=new sre.ClearspeakPreferences.Parser;sre.AlphabetGenerator={};sre.AlphabetGenerator.Font={BOLD:"bold",BOLDFRAKTUR:"bold-fraktur",BOLDITALIC:"bold-italic",BOLDSCRIPT:"bold-script",DOUBLESTRUCK:"double-struck",FULLWIDTH:"fullwidth",FRAKTUR:"fraktur",ITALIC:"italic",MONOSPACE:"monospace",NORMAL:"normal",SCRIPT:"script",SANSSERIF:"sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLD:"sans-serif-bold",SANSSERIFBOLDITALIC:"sans-serif-bold-italic"};
+sre.AlphabetGenerator.Embellish={SUPER:"super",SUB:"sub",CIRCLED:"circled",PARENTHESIZED:"parenthesized",PERIOD:"period",NEGATIVECIRCLED:"negative-circled",DOUBLECIRCLED:"double-circled",CIRCLEDSANSSERIF:"circled-sans-serif",NEGATIVECIRCLEDSANSSERIF:"negative-circled-sans-serif",COMMA:"comma",SQUARED:"squared",NEGATIVESQUARED:"negative-squared"};sre.AlphabetGenerator.Base={LATINCAP:"latinCap",LATINSMALL:"latinSmall",GREEKCAP:"greekCap",GREEKSMALL:"greekSmall",DIGIT:"digit"};
+sre.AlphabetGenerator.Domains_={small:["default"],capital:["default"],digit:["default"]};
+sre.AlphabetGenerator.makeDomains_=function(){var a=sre.Messages.ALPHABET_PREFIXES,b=sre.Messages.ALPHABET_TRANSFORMERS,c=function(d,e){var f={};Object.keys(d).forEach(function(g){f[g]=!0});Object.keys(e).forEach(function(g){f[g]=!0});return Object.keys(f)};sre.AlphabetGenerator.Domains_.small=c(a.smallPrefix,b.letter);sre.AlphabetGenerator.Domains_.capital=c(a.capPrefix,b.letter);sre.AlphabetGenerator.Domains_.digit=c(a.digitPrefix,b.digit)};
+sre.AlphabetGenerator.generate=function(a,b){var c=sre.Engine.getInstance().locale;sre.Engine.getInstance().locale=a;sre.L10n.setLocale();b.addSymbolRules({locale:a});sre.AlphabetGenerator.makeDomains_();a=sre.AlphabetGenerator.INTERVALS;for(var d=0,e;e=a[d];d++){var f=sre.AlphabetGenerator.makeInterval(e.interval,e.subst),g=f.map(function(h){return sre.SemanticUtil.numberToUnicode(parseInt(h,16))});"offset"in e?sre.AlphabetGenerator.numberRules(b,f,g,e.font,e.category,e.offset||0):sre.AlphabetGenerator.alphabetRules(b,
+f,g,sre.Messages.ALPHABETS[e.base],e.font,e.category,!!e.capital)}sre.Engine.getInstance().locale=c;sre.L10n.setLocale()};sre.AlphabetGenerator.makeInterval=function(a,b){var c=parseInt(a[0],16);a=parseInt(a[1],16);for(var d=[];c<=a;c++){var e=c.toString(16).toUpperCase();e=3<e.length?e:("000"+e).slice(-4);!1!==b[e]&&(e=b[e]||e,d.push(e))}return d};
+sre.AlphabetGenerator.getFont=function(a){a="normal"===a||"fullwidth"===a?"":sre.Messages.FONT[a]||sre.Messages.EMBELLISH[a]||"";return"string"===typeof a?{font:a,combiner:sre.Messages.ALPHABET_COMBINER}:{font:a[0],combiner:a[1]}};
+sre.AlphabetGenerator.alphabetRules=function(a,b,c,d,e,f,g){e=sre.AlphabetGenerator.getFont(e);for(var h=0,k,l,m;k=b[h],l=c[h],m=d[h];h++)sre.AlphabetGenerator.makeLetter(a,e.combiner,k,l,m,e.font,g?sre.Messages.ALPHABET_PREFIXES.capPrefix:sre.Messages.ALPHABET_PREFIXES.smallPrefix,f,sre.Messages.ALPHABET_TRANSFORMERS.letter,g?sre.AlphabetGenerator.Domains_.capital:sre.AlphabetGenerator.Domains_.small)};
+sre.AlphabetGenerator.numberRules=function(a,b,c,d,e,f){d=sre.AlphabetGenerator.getFont(d);for(var g=0,h,k;h=b[g],k=c[g];g++)sre.AlphabetGenerator.makeLetter(a,d.combiner,h,k,g+f,d.font,sre.Messages.ALPHABET_PREFIXES.digitPrefix,e,sre.Messages.ALPHABET_TRANSFORMERS.digit,sre.AlphabetGenerator.Domains_.digit)};
+sre.AlphabetGenerator.makeLetter=function(a,b,c,d,e,f,g,h,k,l){for(var m=0,n;n=l[m];m++){var p=n in g?g[n]:g["default"];a.defineRule(c.toString(),n,"default",h,d,b((n in k?k[n]:k["default"])(e),f,p))}};
+sre.AlphabetGenerator.INTERVALS=[{interval:["1D400","1D419"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.BOLD},{interval:["1D41A","1D433"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.BOLD},{interval:["1D56C","1D585"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.BOLDFRAKTUR},{interval:["1D586","1D59F"],base:sre.AlphabetGenerator.Base.LATINSMALL,
+subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.BOLDFRAKTUR},{interval:["1D468","1D481"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.BOLDITALIC},{interval:["1D482","1D49B"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.BOLDITALIC},{interval:["1D4D0","1D4E9"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.BOLDSCRIPT},
+{interval:["1D4EA","1D503"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.BOLDSCRIPT},{interval:["1D538","1D551"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{"1D53A":"2102","1D53F":"210D","1D545":"2115","1D547":"2119","1D548":"211A","1D549":"211D","1D551":"2124"},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.DOUBLESTRUCK},{interval:["1D552","1D56B"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",
+font:sre.AlphabetGenerator.Font.DOUBLESTRUCK},{interval:["1D504","1D51D"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{"1D506":"212D","1D50B":"210C","1D50C":"2111","1D515":"211C","1D51D":"2128"},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.FRAKTUR},{interval:["1D51E","1D537"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.FRAKTUR},{interval:["FF21","FF3A"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",
+font:sre.AlphabetGenerator.Font.FULLWIDTH},{interval:["FF41","FF5A"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.FULLWIDTH},{interval:["1D434","1D44D"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.ITALIC},{interval:["1D44E","1D467"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{"1D455":"210E"},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.ITALIC},{interval:["1D670",
+"1D689"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.MONOSPACE},{interval:["1D68A","1D6A3"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.MONOSPACE},{interval:["0041","005A"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.NORMAL},{interval:["0061","007A"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,
+category:"Ll",font:sre.AlphabetGenerator.Font.NORMAL},{interval:["1D49C","1D4B5"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{"1D49D":"212C","1D4A0":"2130","1D4A1":"2131","1D4A3":"210B","1D4A4":"2110","1D4A7":"2112","1D4A8":"2133","1D4AD":"211B"},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.SCRIPT},{interval:["1D4B6","1D4CF"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{"1D4BA":"212F","1D4BC":"210A","1D4C4":"2134"},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SCRIPT},
+{interval:["1D5A0","1D5B9"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.SANSSERIF},{interval:["1D5BA","1D5D3"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SANSSERIF},{interval:["1D608","1D621"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.SANSSERIFITALIC},{interval:["1D622","1D63B"],base:sre.AlphabetGenerator.Base.LATINSMALL,
+subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SANSSERIFITALIC},{interval:["1D5D4","1D5ED"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.SANSSERIFBOLD},{interval:["1D5EE","1D607"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SANSSERIFBOLD},{interval:["1D63C","1D655"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.SANSSERIFBOLDITALIC},
+{interval:["1D656","1D66F"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SANSSERIFBOLDITALIC},{interval:["0391","03A9"],base:sre.AlphabetGenerator.Base.GREEKCAP,subst:{"03A2":"03F4"},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.NORMAL},{interval:["03B0","03D0"],base:sre.AlphabetGenerator.Base.GREEKSMALL,subst:{"03B0":"2207","03CA":"2202","03CB":"03F5","03CC":"03D1","03CD":"03F0","03CE":"03D5","03CF":"03F1","03D0":"03D6"},
+capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.NORMAL},{interval:["1D6A8","1D6C0"],base:sre.AlphabetGenerator.Base.GREEKCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.BOLD},{interval:["1D6C1","1D6E1"],base:sre.AlphabetGenerator.Base.GREEKSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.BOLD},{interval:["1D6E2","1D6FA"],base:sre.AlphabetGenerator.Base.GREEKCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.ITALIC},{interval:["1D6FB",
+"1D71B"],base:sre.AlphabetGenerator.Base.GREEKSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.ITALIC},{interval:["1D71C","1D734"],base:sre.AlphabetGenerator.Base.GREEKCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.BOLDITALIC},{interval:["1D735","1D755"],base:sre.AlphabetGenerator.Base.GREEKSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.BOLDITALIC},{interval:["1D756","1D76E"],base:sre.AlphabetGenerator.Base.GREEKCAP,subst:{},capital:!0,
+category:"Lu",font:sre.AlphabetGenerator.Font.SANSSERIFBOLD},{interval:["1D76F","1D78F"],base:sre.AlphabetGenerator.Base.GREEKSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SANSSERIFBOLD},{interval:["1D790","1D7A8"],base:sre.AlphabetGenerator.Base.GREEKCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.SANSSERIFBOLDITALIC},{interval:["1D7A9","1D7C9"],base:sre.AlphabetGenerator.Base.GREEKSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SANSSERIFBOLDITALIC},
+{interval:["0030","0039"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"Nd",font:sre.AlphabetGenerator.Font.NORMAL},{interval:["2070","2079"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{2071:"00B9",2072:"00B2",2073:"00B3"},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.SUPER},{interval:["2080","2089"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.SUB},{interval:["245F","2473"],base:sre.AlphabetGenerator.Base.DIGIT,
+subst:{"245F":"24EA"},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.CIRCLED},{interval:["3251","325F"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:21,category:"No",font:sre.AlphabetGenerator.Embellish.CIRCLED},{interval:["32B1","32BF"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:36,category:"No",font:sre.AlphabetGenerator.Embellish.CIRCLED},{interval:["2474","2487"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:1,category:"No",font:sre.AlphabetGenerator.Embellish.PARENTHESIZED},
+{interval:["2487","249B"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{2487:"1F100"},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.PERIOD},{interval:["2775","277F"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{2775:"24FF"},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.NEGATIVECIRCLED},{interval:["24EB","24F4"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:11,category:"No",font:sre.AlphabetGenerator.Embellish.NEGATIVECIRCLED},{interval:["24F5","24FE"],base:sre.AlphabetGenerator.Base.DIGIT,
+subst:{},offset:1,category:"No",font:sre.AlphabetGenerator.Embellish.DOUBLECIRCLED},{interval:["277F","2789"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{"277F":"1F10B"},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.CIRCLEDSANSSERIF},{interval:["2789","2793"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{2789:"1F10C"},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.NEGATIVECIRCLEDSANSSERIF},{interval:["FF10","FF19"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,
+category:"Nd",font:sre.AlphabetGenerator.Font.FULLWIDTH},{interval:["1D7CE","1D7D7"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"Nd",font:sre.AlphabetGenerator.Font.BOLD},{interval:["1D7D8","1D7E1"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"Nd",font:sre.AlphabetGenerator.Font.DOUBLESTRUCK},{interval:["1D7E2","1D7EB"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"Nd",font:sre.AlphabetGenerator.Font.SANSSERIF},{interval:["1D7EC","1D7F5"],
+base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"Nd",font:sre.AlphabetGenerator.Font.SANSSERIFBOLD},{interval:["1D7F6","1D7FF"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"Nd",font:sre.AlphabetGenerator.Font.MONOSPACE},{interval:["1F101","1F10A"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.COMMA},{interval:["24B6","24CF"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"So",
+font:sre.AlphabetGenerator.Embellish.CIRCLED},{interval:["24D0","24E9"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"So",font:sre.AlphabetGenerator.Embellish.CIRCLED},{interval:["1F110","1F129"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"So",font:sre.AlphabetGenerator.Embellish.PARENTHESIZED},{interval:["249C","24B5"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"So",font:sre.AlphabetGenerator.Embellish.PARENTHESIZED},
+{interval:["1F130","1F149"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"So",font:sre.AlphabetGenerator.Embellish.SQUARED},{interval:["1F170","1F189"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"So",font:sre.AlphabetGenerator.Embellish.NEGATIVESQUARED},{interval:["1F150","1F169"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"So",font:sre.AlphabetGenerator.Embellish.NEGATIVECIRCLED}];sre.MathSimpleStore=function(){sre.MathStore.call(this);this.category=""};goog.inherits(sre.MathSimpleStore,sre.MathStore);sre.MathSimpleStore.prototype.defineRulesFromMappings=function(a,b,c){for(var d in c)for(var e in c[d])this.defineRuleFromStrings(a,d,e,b,c[d][e])};sre.MathSimpleStore.prototype.defineRuleFromStrings=function(a,b,c,d,e){this.defineRule(a,b+"."+c,'[t] "'+e+'"',"self::text()",'"'===d?"self::text() = '"+d+"'":'self::text() = "'+d+'"')};
+sre.MathSimpleStore.prototype.lookupRule=function(a,b){a=this.getSpeechRules().filter(function(c){return sre.MathSimpleStore.testDynamicConstraints_(b,c)});return a.length?a.sort(function(c,d){return sre.Engine.getInstance().comparator.compare(c.dynamicCstr,d.dynamicCstr)})[0]:null};sre.MathSimpleStore.testDynamicConstraints_=function(a,b){return sre.Engine.getInstance().strict?b.dynamicCstr.equal(a):sre.Engine.getInstance().comparator.match(b.dynamicCstr)};
+sre.MathCompoundStore=function(){this.subStores_={};this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE];this.modality=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]};goog.addSingletonGetter(sre.MathCompoundStore);sre.MathCompoundStore.prototype.getSubStore_=function(a){var b=this.subStores_[a];if(b)return sre.Debugger.getInstance().output("Store exists! "+a),b;b=new sre.MathSimpleStore;return this.subStores_[a]=b};
+sre.MathCompoundStore.prototype.setupStore_=function(a,b){a.locale=this.locale;a.modality=this.modality;b&&(a.category=b)};sre.MathCompoundStore.prototype.defineRules=function(a,b,c,d){var e=this.getSubStore_(b);this.setupStore_(e,c);e.defineRulesFromMappings(a,b,d)};sre.MathCompoundStore.prototype.defineRule=function(a,b,c,d,e,f){var g=this.getSubStore_(e);this.setupStore_(g,d);g.defineRuleFromStrings(a,b,c,e,f)};
+sre.MathCompoundStore.prototype.changeLocale_=function(a){if(!a.locale&&!a.modality)return!1;this.locale=a.locale||this.locale;this.modality=a.modality||this.modality;return!0};sre.MathCompoundStore.prototype.addSymbolRules=function(a){if(!this.changeLocale_(a)){var b=sre.MathSimpleStore.parseUnicode_(a.key);this.defineRules(a.key,b,a.category,a.mappings)}};
+sre.MathCompoundStore.prototype.addFunctionRules=function(a){if(!this.changeLocale_(a)){var b=a.names,c=a.mappings;a=a.category;for(var d=0,e;e=b[d];d++)this.defineRules(e,e,a,c)}};sre.MathCompoundStore.prototype.addUnitRules=function(a){if(!this.changeLocale_(a)){var b=a.names;b&&(a.names=b.map(function(c){return c+":unit"}));this.addFunctionRules(a)}};sre.MathCompoundStore.prototype.lookupRule=function(a,b){return(a=this.subStores_[a])?a.lookupRule(null,b):null};
+sre.MathCompoundStore.prototype.lookupCategory=function(a){return(a=this.subStores_[a])?a.category:""};sre.MathCompoundStore.prototype.lookupString=function(a,b){return(a=this.lookupRule(a,b))?a.action.components.map(function(c){return c.content.slice(1,-1)}).join(" "):""};sre.MathCompoundStore.prototype.enumerate=function(a){a=a||{};for(var b in this.subStores_)a=this.subStores_[b].trie.enumerate(a);return a};
+sre.MathSimpleStore.parseUnicode_=function(a){a=parseInt(a,16);if(65536>a)return String.fromCharCode(a);a-=65536;return String.fromCharCode((a>>10)+55296,(a&1023)+56320)};sre.MathMap=function(){this.store=sre.MathCompoundStore.getInstance();this.loaded_=[];this.addRules={functions:goog.bind(this.store.addFunctionRules,this.store),symbols:goog.bind(this.store.addSymbolRules,this.store),units:goog.bind(this.store.addUnitRules,this.store)}};goog.addSingletonGetter(sre.MathMap);sre.MathMap.oldInst_=sre.MathMap.getInstance;sre.MathMap.getInstance=function(){var a=sre.MathMap.oldInst_();a.loadLocale();return a};
+sre.MathMap.prototype.loadLocale=function(){var a=sre.Engine.getInstance().locale;if(-1===this.loaded_.indexOf(a)){var b=sre.Engine.getInstance().mode===sre.Engine.Mode.ASYNC;b&&(sre.Engine.getInstance().mode=sre.Engine.Mode.SYNC);this.loaded_.push(a);this.retrieveMaps(a);b&&(sre.Engine.getInstance().mode=sre.Engine.Mode.ASYNC)}};sre.MathMap.toFetch_=0;sre.Engine.registerTest(function(){return sre.MathMap.getInstance()&&!sre.MathMap.toFetch_});
+sre.MathMap.prototype.retrieveFiles=function(a){a=sre.BaseUtil.makePath(sre.SystemExternal.jsonPath)+a+".js";switch(sre.Engine.getInstance().mode){case sre.Engine.Mode.ASYNC:sre.MathMap.toFetch_++;var b=goog.bind(this.parseMaps,this);sre.MathMap.fromFile_(a,function(c,d){sre.MathMap.toFetch_--;c||b(d)});break;case sre.Engine.Mode.HTTP:sre.MathMap.toFetch_++;this.getJsonAjax_(a);break;default:a=sre.MathMap.loadFile(a),this.parseMaps(a)}};
+sre.MathMap.prototype.parseMaps=function(a){a=JSON.parse(a);this.addMaps(a)};sre.MathMap.prototype.addMaps=function(a,b){for(var c=0,d;d=Object.keys(a)[c];c++){var e=d.split("/");b&&b!==e[0]||a[d].forEach(this.addRules[e[1]])}};sre.MathMap.prototype.retrieveMaps=function(a){sre.AlphabetGenerator.generate(a,this.store);sre.Engine.getInstance().isIE&&sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP?this.getJsonIE_(a):this.retrieveFiles(a)};
+sre.MathMap.prototype.getJsonIE_=function(a,b){var c=b||1;sre.BrowserUtil.mapsForIE?this.addMaps(sre.BrowserUtil.mapsForIE,a):5>=c&&setTimeout(goog.bind(function(){this.getJsonIE_(a,c++)},this),300)};sre.MathMap.fromFile_=function(a,b){return sre.SystemExternal.fs.readFile(a,"utf8",b)};sre.MathMap.loadFile=function(a){try{return sre.MathMap.readJSON_(a)}catch(b){console.error("Unable to load file: "+a+"\n"+b)}return"{}"};sre.MathMap.readJSON_=function(a){return sre.SystemExternal.fs.readFileSync(a)};
+sre.MathMap.prototype.getJsonAjax_=function(a){var b=new XMLHttpRequest,c=goog.bind(this.parseMaps,this);b.onreadystatechange=function(){4===b.readyState&&(sre.MathMap.toFetch_--,200===b.status&&c(b.responseText))};b.open("GET",a,!0);b.send()};sre.StoreUtil={};sre.StoreUtil.nodeCounter=function(a,b){var c=a.length,d=0,e=b;b||(e="");return function(){d<c&&(d+=1);return e+" "+d}};sre.StoreUtil.pauseSeparator=function(a,b){a=parseFloat(b);var c=isNaN(a)?b:a;return function(){return[sre.AuditoryDescription.create({text:"",personality:{pause:c}})]}};
+sre.StoreUtil.contentIterator=function(a,b){var c=0<a.length?sre.XpathUtil.evalXPath("../../content/*",a[0]):[];return function(){var d=c.shift(),e=b?[sre.AuditoryDescription.create({text:b},{translate:!0})]:[];if(!d)return e;d=sre.SpeechRuleEngine.getInstance().evaluateNode(d);return e.concat(d)}};sre.ClearspeakUtil={};sre.ClearspeakUtil.numbersToAlpha=function(a){return a.match(/\d+/)?sre.Messages.NUMBERS.numberToWords(parseInt(a,10)):a};sre.ClearspeakUtil.nodeCounter=function(a,b){b=b.split("-");var c=sre.StoreUtil.nodeCounter(a,b[0]||""),d=b[1]||"",e=b[2]||"",f=!0;return function(){var g=c();return f?(f=!1,e+g+d):g+d}};
+sre.ClearspeakUtil.isSimpleExpression=function(a){return sre.ClearspeakUtil.isSimpleNumber_(a)||sre.ClearspeakUtil.isSimpleLetters_(a)||sre.ClearspeakUtil.isSimpleDegree_(a)||sre.ClearspeakUtil.isSimpleNegative_(a)||sre.ClearspeakUtil.isSimpleFunction_(a)};
+sre.ClearspeakUtil.isSimpleFunction_=function(a){return a.type===sre.SemanticAttr.Type.APPL&&(a.childNodes[0].role===sre.SemanticAttr.Role.PREFIXFUNC||a.childNodes[0].role===sre.SemanticAttr.Role.SIMPLEFUNC)&&(sre.ClearspeakUtil.isSimple_(a.childNodes[1])||a.childNodes[1].type===sre.SemanticAttr.Type.FENCED&&sre.ClearspeakUtil.isSimple_(a.childNodes[1].childNodes[0]))};
+sre.ClearspeakUtil.isSimpleNegative_=function(a){return a.type===sre.SemanticAttr.Type.PREFIXOP&&a.role===sre.SemanticAttr.Role.NEGATIVE&&sre.ClearspeakUtil.isSimple_(a.childNodes[0])&&a.childNodes[0].type!==sre.SemanticAttr.Type.PREFIXOP&&a.childNodes[0].type!==sre.SemanticAttr.Type.APPL&&a.childNodes[0].type!==sre.SemanticAttr.Type.PUNCTUATED};
+sre.ClearspeakUtil.isSimpleDegree_=function(a){return a.type===sre.SemanticAttr.Type.PUNCTUATED&&a.role===sre.SemanticAttr.Role.ENDPUNCT&&2===a.childNodes.length&&a.childNodes[1].role===sre.SemanticAttr.Role.DEGREE&&(sre.ClearspeakUtil.isLetter_(a.childNodes[0])||sre.ClearspeakUtil.isNumber_(a.childNodes[0])||a.childNodes[0].type===sre.SemanticAttr.Type.PREFIXOP&&a.childNodes[0].role===sre.SemanticAttr.Role.NEGATIVE&&(sre.ClearspeakUtil.isLetter_(a.childNodes[0].childNodes[0])||sre.ClearspeakUtil.isNumber_(a.childNodes[0].childNodes[0])))};
+sre.ClearspeakUtil.isSimpleLetters_=function(a){return sre.ClearspeakUtil.isLetter_(a)||a.type===sre.SemanticAttr.Type.INFIXOP&&a.role===sre.SemanticAttr.Role.IMPLICIT&&(2===a.childNodes.length&&(sre.ClearspeakUtil.isLetter_(a.childNodes[0])||sre.ClearspeakUtil.isSimpleNumber_(a.childNodes[0]))&&sre.ClearspeakUtil.isLetter_(a.childNodes[1])||3===a.childNodes.length&&sre.ClearspeakUtil.isSimpleNumber_(a.childNodes[0])&&sre.ClearspeakUtil.isLetter_(a.childNodes[1])&&sre.ClearspeakUtil.isLetter_(a.childNodes[2]))};
+sre.ClearspeakUtil.isSimple_=function(a){return a.hasAnnotation("clearspeak","simple")};sre.ClearspeakUtil.isLetter_=function(a){return a.type===sre.SemanticAttr.Type.IDENTIFIER&&(a.role===sre.SemanticAttr.Role.LATINLETTER||a.role===sre.SemanticAttr.Role.GREEKLETTER||a.role===sre.SemanticAttr.Role.OTHERLETTER||a.role===sre.SemanticAttr.Role.SIMPLEFUNC)};sre.ClearspeakUtil.isNumber_=function(a){return a.type===sre.SemanticAttr.Type.NUMBER&&(a.role===sre.SemanticAttr.Role.INTEGER||a.role===sre.SemanticAttr.Role.FLOAT)};
+sre.ClearspeakUtil.isSimpleNumber_=function(a){return sre.ClearspeakUtil.isNumber_(a)||sre.ClearspeakUtil.isSimpleFraction_(a)};
+sre.ClearspeakUtil.isSimpleFraction_=function(a){if(sre.ClearspeakUtil.hasPreference("Fraction_Over")||sre.ClearspeakUtil.hasPreference("Fraction_FracOver")||a.type!==sre.SemanticAttr.Type.FRACTION||a.role!==sre.SemanticAttr.Role.VULGAR)return!1;if(sre.ClearspeakUtil.hasPreference("Fraction_Ordinal"))return!0;var b=parseInt(a.childNodes[0].textContent,10);a=parseInt(a.childNodes[1].textContent,10);return 0<b&&20>b&&0<a&&11>a};
+sre.ClearspeakUtil.hasPreference=function(a){return sre.Engine.getInstance().style===a};sre.ClearspeakUtil.simpleExpression=function(){return new sre.SemanticAnnotator("clearspeak",function(a){return sre.ClearspeakUtil.isSimpleExpression(a)?"simple":""})};sre.ClearspeakUtil.simpleNode=function(a){if(!a.hasAttribute("annotation"))return!1;a=a.getAttribute("annotation");return!!/clearspeak:simple$|clearspeak:simple;/.exec(a)};
+sre.ClearspeakUtil.simpleCell_=function(a){if(sre.ClearspeakUtil.simpleNode(a))return!0;if(a.tagName!==sre.SemanticAttr.Type.SUBSCRIPT)return!1;a=a.childNodes[0].childNodes;var b=a[1];return a[0].tagName===sre.SemanticAttr.Type.IDENTIFIER&&(sre.ClearspeakUtil.isInteger_(b)||b.tagName===sre.SemanticAttr.Type.INFIXOP&&b.hasAttribute("role")&&b.getAttribute("role")===sre.SemanticAttr.Role.IMPLICIT&&sre.ClearspeakUtil.allIndices_(b))};
+sre.ClearspeakUtil.isInteger_=function(a){return a.tagName===sre.SemanticAttr.Type.NUMBER&&a.hasAttribute("role")&&a.getAttribute("role")===sre.SemanticAttr.Role.INTEGER};sre.ClearspeakUtil.allIndices_=function(a){return sre.XpathUtil.evalXPath("children/*",a).every(function(b){return sre.ClearspeakUtil.isInteger_(b)||b.tagName===sre.SemanticAttr.Type.IDENTIFIER})};
+sre.ClearspeakUtil.allCellsSimple=function(a){return sre.XpathUtil.evalXPath(a.tagName===sre.SemanticAttr.Type.MATRIX?"children/row/children/cell/children/*":"children/line/children/*",a).every(sre.ClearspeakUtil.simpleCell_)?[a]:[]};sre.ClearspeakUtil.isSmallVulgarFraction=function(a){return sre.NumbersUtil.vulgarFractionSmall(a,20,11)?[a]:[]};
+sre.ClearspeakUtil.isUnitExpression=function(a){return a.type===sre.SemanticAttr.Type.TEXT||a.type===sre.SemanticAttr.Type.PUNCTUATED&&a.role===sre.SemanticAttr.Role.TEXT&&sre.ClearspeakUtil.isNumber_(a.childNodes[0])&&sre.ClearspeakUtil.allTextLastContent_(a.childNodes.slice(1))||a.type===sre.SemanticAttr.Type.IDENTIFIER&&a.role===sre.SemanticAttr.Role.UNIT||a.type===sre.SemanticAttr.Type.INFIXOP&&(a.role===sre.SemanticAttr.Role.IMPLICIT||a.role===sre.SemanticAttr.Role.UNIT)};
+sre.ClearspeakUtil.allTextLastContent_=function(a){for(var b=0;b<a.length-1;b++)if(a[b].type!==sre.SemanticAttr.Type.TEXT||""!==a[b].textContent)return!1;return a[a.length-1].type===sre.SemanticAttr.Type.TEXT};sre.ClearspeakUtil.unitExpression=function(){return new sre.SemanticAnnotator("clearspeak",function(a){return sre.ClearspeakUtil.isUnitExpression(a)?"unit":""})};
+sre.ClearspeakUtil.ordinalExponent=function(a){var b=parseInt(a.textContent,10);return isNaN(b)?a.textContent:10<b?sre.Messages.NUMBERS.simpleOrdinal(b):sre.Messages.NUMBERS.wordOrdinal(b)};sre.ClearspeakUtil.isCapitalLetter=function(a){return"Lu"===sre.MathCompoundStore.getInstance().lookupCategory(a.textContent)?[a]:[]};sre.ClearspeakUtil.NESTING_DEPTH=null;
+sre.ClearspeakUtil.nestingDepth=function(a){var b=0,c=a.textContent,d="open"===a.getAttribute("role")?0:1;for(a=a.parentNode;a;)a.tagName===sre.SemanticAttr.Type.FENCED&&a.childNodes[0].childNodes[d].textContent===c&&b++,a=a.parentNode;sre.ClearspeakUtil.NESTING_DEPTH=1<b?sre.Messages.NUMBERS.wordOrdinal(b):"";return sre.ClearspeakUtil.NESTING_DEPTH};
+sre.ClearspeakUtil.matchingFences=function(a){var b=a.previousSibling;if(b)var c=a;else b=a,c=a.nextSibling;return c?sre.SemanticAttr.isMatchingFence(b.textContent,c.textContent)?[a]:[]:[]};sre.ClearspeakUtil.insertNesting=function(a,b){if(!b||!a)return a;var c=a.match(/^(open|close) /);return c?c[0]+b+" "+a.substring(c[0].length):b+" "+a};sre.Grammar.getInstance().setCorrection("insertNesting",sre.ClearspeakUtil.insertNesting);
+sre.ClearspeakUtil.fencedArguments=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes),c=sre.XpathUtil.evalXPath("../../children/*",a);b=b.indexOf(a);return sre.ClearspeakUtil.fencedFactor_(c[b])||sre.ClearspeakUtil.fencedFactor_(c[b+1])?[a]:[]};
+sre.ClearspeakUtil.simpleArguments=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes),c=sre.XpathUtil.evalXPath("../../children/*",a);b=b.indexOf(a);return sre.ClearspeakUtil.simpleFactor_(c[b])&&c[b+1]&&(sre.ClearspeakUtil.simpleFactor_(c[b+1])||c[b+1].tagName===sre.SemanticAttr.Type.ROOT||c[b+1].tagName===sre.SemanticAttr.Type.SQRT||c[b+1].tagName===sre.SemanticAttr.Type.SUPERSCRIPT&&c[b+1].childNodes[0].childNodes[0]&&(c[b+1].childNodes[0].childNodes[0].tagName===sre.SemanticAttr.Type.NUMBER||
+c[b+1].childNodes[0].childNodes[0].tagName===sre.SemanticAttr.Type.IDENTIFIER)&&("2"===c[b+1].childNodes[0].childNodes[1].textContent||"3"===c[b+1].childNodes[0].childNodes[1].textContent))?[a]:[]};sre.ClearspeakUtil.simpleFactor_=function(a){return!!a&&(a.tagName===sre.SemanticAttr.Type.NUMBER||a.tagName===sre.SemanticAttr.Type.IDENTIFIER||a.tagName===sre.SemanticAttr.Type.FUNCTION||a.tagName===sre.SemanticAttr.Type.APPL||a.tagName===sre.SemanticAttr.Type.FRACTION)};
+sre.ClearspeakUtil.fencedFactor_=function(a){return a&&(a.tagName===sre.SemanticAttr.Type.FENCED||a.hasAttribute("role")&&a.getAttribute("role")===sre.SemanticAttr.Role.LEFTRIGHT||sre.ClearspeakUtil.layoutFactor_(a))};sre.ClearspeakUtil.layoutFactor_=function(a){return!!a&&(a.tagName===sre.SemanticAttr.Type.MATRIX||a.tagName===sre.SemanticAttr.Type.VECTOR)};
+sre.ClearspeakUtil.isHyperbolic=function(a){if(a.tagName===sre.SemanticAttr.Type.APPL){var b=sre.XpathUtil.evalXPath("children/*[1]",a)[0];if(b&&b.tagName===sre.SemanticAttr.Type.FUNCTION&&"Hyperbolic"===sre.MathCompoundStore.getInstance().lookupCategory(b.textContent))return[a]}return[]};
+sre.ClearspeakUtil.isLogarithmWithBase=function(a){if(a.tagName===sre.SemanticAttr.Type.SUBSCRIPT){var b=sre.XpathUtil.evalXPath("children/*[1]",a)[0];if(b&&b.tagName===sre.SemanticAttr.Type.FUNCTION&&"Logarithm"===sre.MathCompoundStore.getInstance().lookupCategory(b.textContent))return[a]}return[]};sre.ClearspeakUtil.wordOrdinal=function(a){return sre.Messages.NUMBERS.wordOrdinal(parseInt(a.textContent,10))};
+sre.ClearspeakUtil.firstCurrency=function(a){var b=sre.XpathUtil.evalXPath("children/*[1]",a)[0];return b&&"currency"===sre.MathCompoundStore.getInstance().lookupCategory(b.textContent+":unit")?[a]:[]};sre.ClearspeakUtil.lastCurrency=function(a){var b=sre.XpathUtil.evalXPath("children/*[last()]",a)[0];return b&&"currency"===sre.MathCompoundStore.getInstance().lookupCategory(b.textContent+":unit")?[a]:[]};
+sre.ClearspeakUtil.addAnnotators=function(){sre.SemanticAnnotations.getInstance().register(sre.ClearspeakUtil.simpleExpression());sre.SemanticAnnotations.getInstance().register(sre.ClearspeakUtil.unitExpression())};sre.ClearspeakFrench={locale:"fr",domain:"clearspeak",functions:[["CTXF","CTXFpauseSeparator",sre.StoreUtil.pauseSeparator],["CTXF","CTXFnodeCounter",sre.ClearspeakUtil.nodeCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CSF","CSFvulgarFraction",sre.NumbersUtil.vulgarFraction],["CQF","CQFvulgarFractionSmall",sre.ClearspeakUtil.isSmallVulgarFraction],["CQF","CQFcellsSimple",sre.ClearspeakUtil.allCellsSimple],["CSF","CSFordinalExponent",sre.ClearspeakUtil.ordinalExponent],["CSF",
+"CSFwordOrdinal",sre.Messages.NUMBERS.wordOrdinal],["CQF","CQFisCapital",sre.ClearspeakUtil.isCapitalLetter],["CQF","CQFmatchingFences",sre.ClearspeakUtil.matchingFences],["CSF","CSFnestingDepth",sre.ClearspeakUtil.nestingDepth],["CQF","CQFfencedArguments",sre.ClearspeakUtil.fencedArguments],["CQF","CQFsimpleArguments",sre.ClearspeakUtil.simpleArguments],["CQF","CQFisHyperbolic",sre.ClearspeakUtil.isHyperbolic],["CQF","CQFisLogarithm",sre.ClearspeakUtil.isLogarithmWithBase],["CQF","CQFspaceoutNumber",
+sre.MathspeakUtil.spaceoutNumber]],rules:['Rule{collapsed{default{[t] "compress\u00e9e"; [n] . (engine:modality=summary,grammar:collapsed){self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),["Rule","stree","default","[n] ./*[1]","self::stree"],["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::number;contains(@grammar, "protected")'.split(";"),["Rule","omit-empty","default",'[p] (pause:"short")',
+"self::empty"],'Rule{font{default{[n] . (grammar:ignoreFont=@font);  [t] @font (grammar:localFont,pause:"short"){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier{default{[n] . (grammar:ignoreFont=@font);  [t] @font (grammar:localFont,pause:"short"){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] self::* (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),
+["Rule","text","default","[n] text()","self::text"],'Rule;capital;default;[n] text() (pitch:0.6,grammar:ignoreCaps="majuscule");self::identifier;@role="latinletter" or @role="greekletter" or @role="simple function";CQFisCapital'.split(";"),'Rule;capital;Caps_SayCaps;[n] text();self::identifier;@role="latinletter" or @role="greekletter";CQFisCapital'.split(";"),'Rule{capital{Caps_SayCaps{[p] (pause:"short"); [n] text(){self::identifier{@role="latinletter" or @role="greekletter"{CQFisCapital{preceding-sibling::*[1]{not(name(preceding-sibling::*[1])="function"){not(contains(@grammar, "angle"))'.split("{"),
+'Rule;capital;Caps_SayCaps;[n] text() (pause:"short");self::identifier;@role="latinletter" or @role="greekletter";CQFisCapital;following-sibling::*[1]'.split(";"),'Rule{capital{Caps_SayCaps{[p] (pause:"short"); [n] text() (pause:"short"){self::identifier{@role="latinletter" or @role="greekletter"{CQFisCapital{preceding-sibling::*[1]{following-sibling::*[1]{not(name(preceding-sibling::*[1])="function"){not(contains(@grammar, "angle"))'.split("{"),'Rule,punctuation-lr,default,[p] (pause:"short"); [n] text() (pause:"short"),self::punctuation,@role="comma"'.split(","),
+'Rule;punctuation;default;[n] text();self::punctuation;@role="comma";not(preceding-sibling::*[1]/children);not(following-sibling::*[1]/children)'.split(";"),'Rule,punctuation-l,default,[p] (pause:"short"); [n] text(),self::punctuation,@role="comma",not(following-sibling::*[1]/children)'.split(","),'Rule;punctuation-r;default;[n] text() (pause:"short");self::punctuation;@role="comma";not(preceding-sibling::*[1]/children)'.split(";"),'Rule;ellipsis;Ellipses_AndSoOn;[t] "et ainsi de suite";self::punctuation;@role="ellipsis";not(following-sibling::*[1]);not(preceding-sibling::*[last()][@role="ellipsis"])'.split(";"),
+'Rule;ellipsis;Ellipses_AndSoOn;[t] "et ainsi de suite jusqu\'\u00e0";self::punctuation;@role="ellipsis";preceding-sibling::*[1];following-sibling::*[1]'.split(";"),'Rule,vbar-evaluated,default,[n] children/*[1]; [p] (pause:"short"); [t] "\u00e9valu\u00e9 \u00e0"; [n] content/*[1]/children/*[2]; [p] (pause:"short"),self::punctuated,@role="endpunct",content/*[1][@role="vbar"],content/*[1][@embellished],name(content/*[1])="subscript"'.split(","),'Rule,vbar-evaluated,default,[n] children/*[1]; [p] (pause:"short"); [t] "\u00e9valu\u00e9 \u00e0"; [n] content/*[1]/children/*[2]; [p] (pause:"short"); [t] "moins la m\u00eame expression \u00e9valu\u00e9e \u00e0"; [n] content/*[1]/children/*[1]/children/*[2]; [p] (pause:"short"),self::punctuated,@role="endpunct",content/*[1][@role="vbar"],content/*[1][@embellished],name(content/*[1])="superscript",name(content/*[1]/children/*[1])="subscript"'.split(","),
+'Rule;vbar-such-that;VerticalLine_SuchThat;[t] "tel que";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;vbar-such-that;VerticalLine_Divides;[t] "diviseur de";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;vbar-such-that;VerticalLine_Given;[t] "sachant";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;set-member;default;[t] "est un";self::operator;@role="set extended";text()="\u2208" or text()="\u220a"'.split(";"),
+["SpecializedRule","set-member","default","SetMemberSymbol_Member",'[t] "appartient \u00e0"'],["SpecializedRule","set-member","default","SetMemberSymbol_Element",'[t] "est un \u00e9l\u00e9ment de"'],["SpecializedRule","set-member","default","SetMemberSymbol_Belongs",'[t] "est dans"'],'Rule;set-not-member;default;[t] "n\'est pas un";self::operator;@role="set extended";text()="\u2209"'.split(";"),["SpecializedRule","set-not-member","default","SetMemberSymbol_Member",'[t] "n\'appartient pas \u00e0"'],
+["SpecializedRule","set-not-member","default","SetMemberSymbol_Element",'[t] "n\'est pas un \u00e9l\u00e9ment de"'],["SpecializedRule","set-not-member","default","SetMemberSymbol_Belongs",'[t] "n\'est pas dans"'],'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"],self::*'.split(","),'Rule,feet,default,[n] children/*[1]; [t] "feet",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2032"],not(preceding-sibling::*[@role="degree"])'.split(","),
+'Rule,foot,default,[n] children/*[1]; [t] "foot",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2032"],children/*[1][text()="1"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,inches,default,[n] children/*[1]; [t] "inches",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2033"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,inch,default,[n] children/*[1]; [t] "inch",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2033"],children/*[1][text()="1"],not(preceding-sibling::*[@role="degree"])'.split(","),
+'Rule,minutes,default,[p] (pause:short); [n] children/*[1]; [t] "minutes",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2032"]'.split(","),'Rule,minute,default,[p] (pause:short); [n] children/*[1]; [t] "minute",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),'Rule,seconds,default,[p] (pause:short); [n] children/*[1]; [t] "seconds",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2033"]'.split(","),
+'Rule,second,default,[p] (pause:short); [n] children/*[1]; [t] "second",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),'Rule,degrees-angle,Prime_Angle,[n] children/*[1]; [t] "degrees"; [p] (pause:short),self::punctuation,@role="degree"'.split(","),'Rule,degree-angle,Prime_Angle,[n] children/*[1]; [t] "degree"; [p] (pause:short),self::punctuation,@role="degree",children/*[1][text()="1"]'.split(","),
+'Rule{minutes-angle{Prime_Angle{[n] children/*[1]; [t] "minutes"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2032"]'.split("{"),'Rule,minute-angle,Prime_Angle,[n] children/*[1]; [t] "minute"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),
+'Rule{seconds-angle{Prime_Angle{[n] children/*[1]; [t] "seconds"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2033"]'.split("{"),'Rule,second-angle,Prime_Angle,[n] children/*[1]; [t] "second"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),
+'Rule{feet-length{Prime_Length{[n] children/*[1]; [t] "feet"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2032"]'.split("{"),'Rule,foot-length,Prime_Length,[n] children/*[1]; [t] "foot"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),
+'Rule{inches-length{Prime_Length{[n] children/*[1]; [t] "inches"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2033"]'.split("{"),'Rule,inch-length,Prime_Length,[n] children/*[1]; [t] "inch"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),
+["Rule","punctuated","default","[m] children/*","self::punctuated"],["Rule","function","default","[n] text()","self::function"],["Rule","appl","default",'[n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:"short")',"self::appl"],'Rule,appl-simple,default,[n] children/*[1]; [t] "de"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="simple function",name(children/*[2])="appl"'.split(","),'Rule,appl-simple,default,[n] children/*[1]; [t] "de"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="simple function",name(children/*[2])="fenced",name(children/*[2]/children/*[1])="appl"'.split(","),
+["Rule","appl","Functions_None",'[p] (pause:"short"); [n] children/*[1]; [t] "fois"; [n] children/*[2]; [p] (pause:"short")',"self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,@role="prefix function"'.split(","),'Rule{binary-operation{ImpliedTimes_MoreImpliedTimes{[n] . (grammar:impliedTimes); [p] (pause:"short"){self::appl{@role="prefix function"{parent::*/parent::infixop[@role="implicit"]{following-sibling::*{not(contains(@grammar, "impliedTimes"))'.split("{"),
+'Rule{function-prefix-simple-arg{default{[n] children/*[1]; [n] children/*[2]{self::appl{@role="prefix function"{name(children/*[2])="fenced"{contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){name(children/*[2]/children/*[1])!="number"{name(children/*[2]/children/*[1])!="identifier"{name(children/*[2]/children/*[1])!="appl"'.split("{"),'Rule,function-prefix-embell,default,[p] (pause:"short"); [n] children/*[1]; [n] children/*[2]; [p] (pause:"short"); ,self::appl,@role="prefix function",name(children/*[1])!="function"'.split(","),
+'Rule{function-prefix-fenced-or-frac-arg{default{[p] (pause:"short"); [n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or name(children/*[2])="fraction" or (name(children/*[2])!="fenced" and not(contains(children/*[2]/@annotation, "clearspeak:simple"))){self::*'.split("{"),'Rule,function-prefix-subscript,default,[p] (pause:"short"); [n] children/*[1]; [t] "de"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",name(children/*[1])="subscript",self::*'.split(","),
+'Rule{function-ln{default{[n] children/*[1]; [n] children/*[2]{self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(following-sibling::*){not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-ln{default{[n] children/*[1]; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-ln{default{[n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{name(children/*[2])="fenced"{not(contains(@grammar, "NatLog"))'.split("{"),
+'Rule;function-ln;Log_LnAsNaturalLog;[n] . (grammar:NatLog);self::appl;@role="prefix function";content/*[2][text()="ln"];not(following-sibling::*);not(contains(@grammar, "NatLog"))'.split(";"),'Rule{function-ln{Log_LnAsNaturalLog{[n] . (grammar:NatLog); [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-prefix-as-exp{default{[n] children/*[1]; [t] "de"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(parent::*/parent::*)="superscript"{not(following-sibling::*){(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or name(children/*[2])="fraction" or (name(children/*[2])!="fenced" and not(contains(children/*[2]/@annotation, "clearspeak:simple")))'.split("{"),
+'Rule,function-prefix-subscript-as-exp,default,[n] children/*[1]; [t] "de"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",name(parent::*/parent::*)="superscript",not(following-sibling::*),name(children/*[1])="subscript"'.split(","),'Rule,function-prefix-hyper,default,[p] (pause:"short"); [n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",CQFisHyperbolic'.split(","),'Rule{function-prefix-inverse{default{[p] (pause:"short");  [n] children/*[1]/children/*[1]; [t] "inverse de"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule{function-prefix-inverse{Trig_Reciprocal{[p] (pause:"short"); [t] "la reciproque de"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule{function-prefix-inverse{Trig_Reciprocal{[p] (pause:"short"); [t] "la reciproque de"; [n] children/*[1]/children/*[1];[n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{contains(children/*[2]/@annotation, "clearspeak:simple"){children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule,appl-triginverse,Trig_TrigInverse,[p] (pause:"short"); [n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",name(children/*[1])="superscript",name(children/*[1]/children/*[2])="prefixop",children/*[1]/children/*[2][@role="negative"],children/*[1]/children/*[2]/children/*[1][text()="1"]'.split(","),'Rule{function-prefix-arc-simple{Trig_ArcTrig{[p] (pause:"short"); [t] "arc"; [n] children/*[1]/children/*[1]; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule{function-prefix-arc-simple{Trig_ArcTrig{[p] (pause:"short"); [t] "arc"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{name(children/*[2])="fenced"{children/*[2]/children/*[1][@role="prefix function"]{contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule{function-prefix-arc{Trig_ArcTrig{[p] (pause:"short"); [t] "arc"; [n] children/*[1]/children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none")){(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or (name(children/*[2])="fraction" and children/*[2][@role!="vulgar"])'.split("{"),
+'Rule{function-inverse{default{[n] children/*[1]; [t] "inverse"{self::superscript{@role="prefix function" or @role="simple function"{name(children/*[2])="prefixop"{children/*[2][@role="negative"]{children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule{function-inverse{Functions_Reciprocal{[t] "la reciproque de"; [n] children/*[1]{self::superscript{@role="prefix function" or @role="simple function"{name(children/*[2])="prefixop"{children/*[2][@role="negative"]{children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule;function-inverse;Functions_None;[n] . (grammar:functions_none);self::superscript;@role="prefix function" or @role="simple function";name(children/*[2])="prefixop";children/*[2][@role="negative"];children/*[2]/children/*[1][text()="1"];not(contains(@grammar, "functions_none"))'.split(";"),["Rule","superscript","default",'[n] children/*[1]; [t] "\u00e0 l\'exposant" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "fin exposant" (pause:"short")',"self::superscript"],'Rule,superscript-simple-exponent,default,[n] children/*[1]; [t] "\u00e0 la puissance"; [n] children/*[2]; [p] (pause:"medium"),self::superscript,not(descendant::superscript)'.split(","),
+'Rule,superscript-simple-exponent,default,[n] children/*[1]; [t] "\u00e0 la puissance"; [n] children/*[2]; [p] (pause:"medium") ,self::superscript,not(descendant::superscript),not(following-sibling::*)'.split(","),'Aliases;superscript-simple-exponent;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="number";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),
+'Aliases;superscript-simple-exponent;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="fraction";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),["Aliases","superscript-simple-exponent","self::superscript",'children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"]','name(children/superscript/children/*[1])="identifier"'],
+'Aliases;superscript-simple-exponent;self::superscript;children/*[2][@role="implicit"];count(children/*[2]/children/*)=2;contains(children/*[2]/children/*[1]/@annotation, "simple");name(children/*[2]/children/*[2])="superscript";(name(children/*[2]/children/*[2]/children/*[1])="number" and contains(children/*[2]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple")) or name(children/*[2]/children/*[2]/children/*[1])="identifier";children/*[2]/children/*[2]/children/*[2][text()="2"] or children/*[2]/children/*[2]/children/*[2][text()="3"]'.split(";"),
+'Rule;superscript-simple-function;Functions_None;[n] . (grammar:functions_none);self::superscript;name(children/*[1])="identifier";children/*[1][@role="simple function"];not(contains(@grammar, "functions_none"))'.split(";"),'Rule,superscript-ordinal,Exponent_Ordinal,[n] children/*[1]; [t] "\u00e0 la"; [n] children/*[2] (grammar:ordinal); [t] "puissance" (pause:"medium"),self::superscript,name(children/*[2])="identifier",children/*[2][@role="latinletter"]'.split(","),'Rule,superscript-ordinal,Exponent_Ordinal,[n] children/*[1]; [t] "\u00e0 la puissance"; [n] children/*[2]; [p] (pause:"medium"),self::superscript,name(children/*[2])="identifier",children/*[2][@role="latinletter"],CQFisCaptial'.split(","),
+'Rule{exponent{default{[n] text() (join:"-"); [t] "i\u00e8me"{self::identifier{contains(@grammar, "ordinal")'.split("{"),'Rule;exponent;default;[t] CSFordinalExponent;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),'Rule;exponent;Exponent_Ordinal;[t] CSFwordOrdinal;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),'Rule;exponent;Exponent_Ordinal;[t] "zero";self::number;@role="integer";contains(@grammar, "ordinal");text()="0"'.split(";"),
+'Rule;exponent;Exponent_OrdinalPower;[t] CSFwordOrdinal;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),'Rule;exponent;Exponent_OrdinalPower;[t] "zero";self::number;@role="integer";contains(@grammar, "ordinal");text()="0"'.split(";"),'Rule,square,default,[n] children/*[1]; [t] "au carr\u00e9",self::superscript,children/*[2][text()="2"],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),self::*,self::*'.split(","),
+'Rule,cube,default,[n] children/*[1]; [t] "au cube",self::superscript,children/*[2][text()="3"],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),self::*,self::*'.split(","),'Rule;paren-simple;default;[n] children/*[1];self::fenced;@role="leftright";contains(children/*[1]/@annotation, "clearspeak:simple");name(../..)!="superscript" and name(../..)!="subscript"'.split(";"),'Rule;paren-simple-exp;default;[n] children/*[1];self::fenced;@role="leftright";name(../..)="superscript";children/*[1][@role="integer"] or children/*[1][@role="float"] or (children/*[1][@role="vulgar"] and contains(children/*[1]/@annotation, "clearspeak:simple")) or children/*[1][@role="latinletter"] or children/*[1][@role="greekletter"] or children/*[1][@role="otherletter"]'.split(";"),
+'Rule;paren-simple-nested-func;default;[n] children/*[1];self::fenced;@role="leftright";name(../*[1])="identifier" or name(../*[1])="function";parent::*/parent::*[@role="simple function" or @role="prefix function"];children/*[1][@role="simple function" or @role="prefix function"];contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple") or name(children/*[1]/children/*[2]/children/*[1])="subscript" or name(children/*[1]/children/*[2]/children/*[1])="superscript" or children/*[1]/children/*[2]/children/*[1][@role="vulgar"] '.split(";"),
+'Rule{paren-simple-nested-func-no-bracket{Functions_None{[n] children/*[1];{self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{children/*[1][@role="simple function" or @role="prefix function"]{name(children/*[1]/children/*[1])="identifier" or name(children/*[1]/children/*[1])="function"{contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){name(children/*[1]/children/*[2]/children/*[1])="identifier" or name(children/*[1]/children/*[2]/children/*[1])="number"'.split("{"),
+'Rule,fences-open-close,default,[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"),self::fenced,@role="leftright"'.split(","),'Rule{paren-simple-nested-func{default{[p] (pause:"short"); [n] content/*[1]; [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2]; [p] (pause:"short"){self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{not(contains(children/*[1]/@annotation, "clearspeak:simple"))'.split("{"),
+'Rule{paren-simple-nested-func{Functions_None{[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"){self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{children/*[1][@role="simple function" or @role="prefix function"]{contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple") or name(children/*[1]/children/*[2]/children/*[1])="subscript" or name(children/*[1]/children/*[2]/children/*[1])="superscript" or children/*[1]/children/*[2]/children/*[1][@role="vulgar"] '.split("{"),
+["SpecializedRule","fences-open-close","default","Paren_Speak"],["Aliases","fences-open-close","self::fenced",'@role="composed function"'],["Rule","fence-silent","Paren_Silent",'[p] (pause:"short"); [n] children/*[1]; [p] (pause:"short")',"self::fenced"],'Rule,fences-open-close,ImpliedTimes_None,[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"),self::fenced,@role="leftright",parent::*/parent::*[@role!="simple function"],parent::*/parent::*[@role!="prefix function"]'.split(","),
+'Rule;fence-nesting;Paren_SpeakNestingLevel;[n] text() (grammar:insertNesting=CSFnestingDepth);self::fence;contains(@grammar, "spokenFence");CQFmatchingFences'.split(";"),["Rule","fence-no-nesting","Paren_SpeakNestingLevel","[n] text()","self::fence"],'Rule,fences-points,Paren_CoordPoint,[t] "le point avec coordon\u00e9es"; [n] children/*[1],self::fenced,name(children/*[1])="punctuated",children/*[1][@role="sequence"]'.split(","),'Rule{fences-interval{Paren_Interval{[t] "un intervalle de"; [n] children/*[1]/children/*[1]; [t] "\u00e0"; [n] children/*[1]/children/*[3]; [p] (pause:"short"); [n] . (grammar:interval){self::fenced{not(contains(@grammar, "interval")){name(children/*[1])="punctuated"{children/*[1][@role="sequence"]{count(./children/*[1]/content/*)=1{children/*[1]/content/*[1][@role="comma"]'.split("{"),
+'Rule{interval-open{Paren_Interval{[t] "sans inclure"; [n] children/*[1]/children/*[1]; [t] "ni"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"'.split("{"),'Rule{interval-closed-open{Paren_Interval{[t] "avec"; [n] children/*[1]/children/*[1]; [t] "inclus"; [p] (pause:"short"); [t] "mais sans inclure"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()=")"'.split("{"),
+'Rule{interval-open-closed{Paren_Interval{[t] "sans inclure"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [t] "mais avec"; [n] children/*[1]/children/*[3]; [t] "inclus"{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()="]"'.split("{"),'Rule{interval-closed{Paren_Interval{[t] "avec"; [n] children/*[1]/children/*[1]; [t] "et"; [n] children/*[1]/children/*[3]; [t] "inclus"{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()="]"'.split("{"),
+'Rule{interval-open-inf-r{Paren_Interval{[t] "sans inclure"; [n] children/*[1]/children/*[1]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"{children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e")'.split("{"),'Rule{interval-open-inf-l{Paren_Interval{[t] "sans inclure"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"{children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split("{"),
+'Rule;interval-open-inf-lr;Paren_Interval;;self::fenced;contains(@grammar, "interval");content/*[1]/text()="(";content/*[2]/text()=")";children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e");children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split(";"),'Rule{interval-closed-open-inf{Paren_Interval{[t] "avec"; [n] children/*[1]/children/*[1]; [t] "inclus"{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()=")"{children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e")'.split("{"),
+'Rule{interval-open-closed-inf{Paren_Interval{[t] "avec"; [n] children/*[1]/children/*[3]; [t] "inclus"{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()="]"{children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split("{"),'Rule,paren-nested-embellished-funcs,Functions_None,[p] (pause:"short"); [n] content/*[1]; [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2]; [p] (pause:"short"),self::fenced,@role="leftright",name(../..)="appl",name(children/*[1]) = "appl",preceding-sibling::*/descendant-or-self::*[@role="subsup"] or children/*[1]/descendant-or-self::*[@role="subsup"]'.split(","),
+'Rule;set-empty;default;[t] "ensemble vide";self::fenced;@role="set empty"'.split(";"),'Rule,set-extended,default,[t] "ensemble des"; [n] children/*[1]/children/*[1]; [t] "tel que"; [n] children/*[1]/children/*[3],self::fenced,@role="set extended"'.split(","),'Rule,set-collection,default,[t] "ensemble"; [n] children/*[1],self::fenced,@role="set collection"'.split(","),["Aliases","set-collection","self::fenced",'@role="set singleton"'],'Rule,set-extended,Sets_woAll,[t] "ensemble de"; [n] children/*[1]/children/*[1]; [t] "tel que"; [n] children/*[1]/children/*[3],self::fenced,@role="set extended"'.split(","),
+'Rule;set-collection;Sets_SilentBracket;[n] children/*[1];self::fenced;@role="set collection"'.split(";"),["Rule","subscript","default",'[p] (pause:short); [n] children/*[1]; [t] "sub"; [n] children/*[2]; [p] (pause:short)',"self::subscript"],'Rule,subscript-base,default,[n] children/*[1]; [t] "base"; [n] children/*[2],self::subscript,CQFisLogarithm'.split(","),'Rule{subscript-index{default{[n] children/*[1]; [t] "sub"; [n] children/*[2]{self::subscript{contains(@grammar, "simpleDet")'.split("{"),
+["Rule","fraction","default",'[p] (pause:short); [t] "fraction avec num\u00e9rateur"; [n] children/*[1]; [p] (pause:short); [t] "et d\u00e9nominateur"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],'Rule,fraction,Functions_None,[p] (pause:short); [t] "fraction avec num\u00e9rateur"; [n] children/*[1]; [p] (pause:short); [t] "et d\u00e9nominateur"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="appl" or name(children/*[2])="appl"'.split(","),'Rule{simple-fraction{default{[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short){self::fraction{contains(children/*[1]/@annotation, "clearspeak:simple") or contains(children/*[1]/@annotation, "clearspeak:unit"){contains(children/*[2]/@annotation, "clearspeak:simple") or contains(children/*[2]/@annotation, "clearspeak:unit")'.split("{"),
+'Rule,simple-vulgar-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short),self::fraction,@role="vulgar"'.split(","),'Rule,simple-text-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="text",name(children/*[2])="text"'.split(","),'Rule,simple-text-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="infixop",children/*[1][@role="unit"],name(children/*[2])="text"'.split(","),
+'Rule;vulgar-fraction;default;[t] CSFvulgarFraction;self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["Rule","fraction","Fraction_Over",'[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_OverEndFrac",'[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short); [t] "fin fraction"; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_FracOver",'[p] (pause:short); [t] "fraction"; [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short)',
+"self::fraction"],["Rule","fraction","Fraction_Per",'[p] (pause:short); [n] children/*[1]; [t] "par"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_GeneralEndFrac",'[p] (pause:short); [t] "fraction avec num\u00e9rateur"; [n] children/*[1]; [p] (pause:short); [t] "et d\u00e9nominateur"; [n] children/*[2]; [p] (pause:short); [t] "fin fraction"; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_General",'[p] (pause:short); [t] "fraction avec num\u00e9rateur"; [n] children/*[1]; [p] (pause:short); [t] "et d\u00e9nominateur"; [n] children/*[2]; [p] (pause:short)',
+"self::fraction"],'Rule;simple-vulgar-fraction;Fraction_Ordinal;[t] CSFvulgarFraction;self::fraction;@role="vulgar"'.split(";"),'Rule{fraction{Fraction_EndFrac{[p] (pause:short); [n] . (grammar:endfrac); [t] "fin fraction"; [p] (pause:short){self::fraction{not(contains(@grammar, "endfrac")){not(contains(children/*[1]/@annotation, "clearspeak:unit")){not(contains(children/*[2]/@annotation, "clearspeak:unit"))'.split("{"),'Rule{vulgar-fraction{Fraction_EndFrac{[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short){self::fraction{name(children/*[1])="fraction"{name(children/*[2])="fraction"{contains(children/*[1]/@annotation, "clearspeak:simple"){contains(children/*[2]/@annotation, "clearspeak:simple")'.split("{"),
+'Rule;simple-vulgar-fraction;Fraction_EndFrac;[t] CSFvulgarFraction;self::fraction;@role="vulgar";contains(@annotation, "clearspeak:simple");self::*'.split(";"),["Rule","sqrt","default",'[t] "la racine carr\u00e9e de"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short)',"self::sqrt"],'Rule,sqrt-nested,default,[p] (pause: "short"); [t] "la racine carr\u00e9e de"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),
+'Rule,negative-sqrt,default,[t] "la racine carr\u00e9e n\u00e9gative de"; [n] children/*[1]/children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::prefixop,@role="negative",name(children/*[1])="sqrt"'.split(","),'Rule,negative-sqrt,default,[p] (pause: "short"); [t] "la racine carr\u00e9e n\u00e9gative de"; [n] children/*[1]/children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::prefixop,@role="negative",name(children/*[1])="sqrt",not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),
+'Rule,sqrt-plus-minus,Roots_PosNegSqRoot,[t] "la racine carr\u00e9e positive de"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),'Rule,sqrt-nested-plus-minus,Roots_PosNegSqRoot,[p] (pause: "short"); [t] "la racine carr\u00e9e positive de"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),
+'Rule,sqrt-plus-minus,Roots_PosNegSqRootEnd,[t] "la racine carr\u00e9e positive de"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),'Rule,sqrt-nested-plus-minus,Roots_PosNegSqRootEnd,[p] (pause: "short"); [t] "la racine carr\u00e9e positive de"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),
+'Rule{sqrt-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "fin racine"; [p] (pause:short){self::sqrt{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{negative-sqrt-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "fin racine"; [p] (pause:short){self::prefixop{@role="negative"{name(children/*[1])="sqrt"{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{sqrt-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "fin racine"; [p] (pause:short){self::sqrt{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule{negative-sqrt-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "fin racine"; [p] (pause:short){self::prefixop{@role="negative"{name(children/*[1])="sqrt"{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule,cube,default,[t] "la racine cubique de"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,children/*[1][text()="3"]'.split(","),'Rule,cube-nested,default,[p] (pause:short); [t] "la racine cubique de"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,children/*[1][text()="3"],not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),
+["Rule","root","default",'[t] "la"; [n] children/*[1] (grammar:ordinal); [t] "racine de"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short)',"self::root"],'Rule,root-nested,default,[p] (pause:short); [t] "la"; [n] children/*[1] (grammar:ordinal); [t] "racine de"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),'Rule{root-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "fin racine"; [p] (pause:short){self::root{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule{root-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "fin racine"; [p] (pause:short){self::root{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule,negative,default,[t] "n\u00e9gatif"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),'Rule,positive,default,[t] "positif"; [n] children/*[1],self::prefixop,@role="positive"'.split(","),'Rule,angle-measure,default,[t] "la mesure de l\'" (join:""); [n] content/*[1]; [n] children/*[2] (grammar:angle),self::infixop,content/*[1]/text()="\u2220",children/*[1][text()="m"]'.split(","),
+["Rule","prefix","default","[m] content/* (grammar:prefix); [n] children/*[1]","self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [m] content/* (grammar:postfix)","self::postfixop"],'Rule{set-prefix-operators{default{[t] "le"; [n] self::* (grammar:!prefix); [t] "de"{self::*{contains(@grammar,"prefix"){descendant-or-self::*/text()="\u2229" or descendant-or-self::*/text()="\u222a"{self::*{self::*{self::*'.split("{"),["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);",
+"self::infixop"],'Rule,binary-operation,ImpliedTimes_MoreImpliedTimes,[m] children/* (sepFunc:CTXFcontentIterator);,self::infixop,@role="implicit"'.split(","),'Rule,binary-operation-pause,default,[p] (pause:short); [m] children/* (sepFunc:CTXFcontentIterator);,self::infixop,@role="implicit",name(children/*[1])="appl"'.split(","),'Rule,binary-operation-pause,default,[m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:short),self::infixop,@role="implicit",name(children/*[last()])="appl"'.split(","),
+'Rule,binary-operation-pause,default,[p] (pause:short); [m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:short),self::infixop,@role="implicit",name(children/*[1])="appl",name(children/*[last()])="appl"'.split(","),'Rule;implicit-times;default;[p] (pause:short);self::operator;@role="multiplication";text()="\u2062"'.split(";"),'Rule implicit-times default  self::operator @role="multiplication" text()="\u2062" CQFsimpleArguments'.split(" "),'Rule;implicit-times;default;[n] text();self::operator;@role="multiplication";text()="\u2062";CQFfencedArguments'.split(";"),
+'Rule;implicit-times;ImpliedTimes_MoreImpliedTimes;[n] text();self::operator;@role="multiplication";text()="\u2062"'.split(";"),'Rule implicit-times ImpliedTimes_None  self::operator @role="multiplication" text()="\u2062"'.split(" "),'Rule{binary-operation-simple{default{[m] children/* (rate:"0.5"); [p] (pause:short){self::infixop{@role="implicit"{contains(@annotation, "clearspeak:simple"){not(contains(@grammar, "inFrac"))'.split("{"),'Rule;simple-in-fraction;default;[n] . (rate:"0.5",grammar:inFrac);self::*;contains(@annotation, "clearspeak:simple");not(contains(@grammar, "inFrac"));name(.)!="identifier";name(.)!="function";name(.)!="number";name(parent::*/parent::*)="fraction";not(preceding-sibling::*)'.split(";"),
+'Rule;operators-after-power;Exponent_AfterPower;[m] children/* (rate:"0.5");self::infixop;@role="implicit";contains(@grammar, "afterPower")'.split(";"),["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],'Rule;natural-numbers;default;[t] "les nombres entier naturel";self::identifier;text()="\u2115" or (text()="N" and @font="double-struck");self::*;self::*;self::*'.split(";"),
+'Rule;integers;default;[t] "les nombres entiers";self::identifier;text()="\u2124" or (text()="Z" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule;rational-numbers;default;[t] "les Nombres rationnels";self::identifier;text()="\u211a" or (text()="Q" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule;real-numbers;default;[t] "les nombres r\u00e9els";self::identifier;text()="\u211d" or (text()="R" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule;complex-numbers;default;[t] "les nombres complexes";self::identifier;text()="\u2102" or (text()="C" and @font="double-struck");self::*;self::*;self::*'.split(";"),
+'Rule,natural-numbers-super,default,[t] "n" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2115" or (children/*[1]/text()="N" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule,integers-super,default,[t] "z" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule,rational-numbers-super,default,[t] "q" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck"),self::*,self::*,self::*'.split(","),
+'Rule,real-numbers-super,default,[t] "r" (join:"-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u211d" or (children/*[1]/text()="R" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule,complex-numbers-super,default,[t] "c" (join:"-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2102" or (children/*[1]/text()="C" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule;natural-numbers-with-zero;default;[t] "les nombres entiers naturel avec zero";self::subscript;children/*[1]/text()="\u2115" or (children/*[1]/text()="N" and @font="double-struck");children/*[2]/text()="0"'.split(";"),
+'Rule;positive-integers;default;[t] "les nombres entiers positif";self::superscript;children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck");children/*[2]/text()="+";self::*;self::*;self::*'.split(";"),'Rule;positive-integers;default;[t] "les nombres entiers n\u00e9gatif";self::superscript;children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck");children/*[2]/text()="-";self::*;self::*;self::*'.split(";"),'Rule;positive-rational-numbers;default;[t] "les nombres rationnels positif";self::superscript;children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck");children/*[2]/text()="+";self::*;self::*;self::*'.split(";"),
+'Rule;negative-rational-numbers;default;[t] "les nombres rationnels n\u00e9gatif";self::superscript;children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck");children/*[2]/text()="-";self::*;self::*;self::*'.split(";"),'Rule,fences-neutral,default,[p] (pause:short); [t] "la valeur absolue de"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),'Rule,fences-neutral,AbsoluteValue_AbsEnd,[p] (pause:short); [t] "la valeur absolue de"; [n] children/*[1]; [p] (pause: short); [t] "fin de valeur absolue"; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+'Rule,fences-neutral,AbsoluteValue_Cardinality,[p] (pause:short); [t] "la cardinalit\u00e9 de"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),'Rule,fences-neutral,AbsoluteValue_Determinant,[p] (pause:short); [t] "le d\u00e9terminant de"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["Rule","matrix","default",'[t] "la matrice de dimension"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:"); [p] (pause:long)',"self::matrix"],'Rule{matrix-simple{default{[t] "la matrice de dimension"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*);  [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:",grammar:simpleDet); [p] (pause:long){self::matrix{count(children/*)<4{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+'Rule,matrix-trivial,default,[t] "la matrice de dimension 1 par 1 avec \u00e9l\u00e9ment"; [n] children/*[1]; [p] (pause:long),self::vector,@role="squarematrix"'.split(","),'Rule{determinant{default{[t] "le d\u00e9terminant de la matrice de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="determinant"{count(children/*)<4{CQFcellsSimple'.split("{"),
+'Rule{determinant-simple{default{[t] "le d\u00e9terminant de la matrice de dimension"; [t] count(children/*);  [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:"); [p] (pause:long){self::matrix{@role="determinant"'.split("{"),["Rule","matrix-vector","default",'[t] "la matrice colonne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:",grammar:simpleDet); [p] (pause:long)',
+"self::vector"],["SpecializedRule","matrix-vector","default","Matrix_SpeakColNum"],'Rule{matrix-vector-simple{default{[t] "la matrice colonne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::vector{count(children/*)<4{CQFcellsSimple{@role!="squarematrix"'.split("{"),["Rule","matrix-vector-simple","Matrix_SilentColNum",'[t] "la matrice colonne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long)',
+"self::vector"],'Rule{matrix-row-vector{default{[t] "la matrice ligne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/*[1]/children/* (ctxtFunc:CTXFnodeCounter,context:"colonne-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),["SpecializedRule","matrix-row-vector","default","Matrix_SpeakColNum"],'Rule{matrix-row-vector-simple{default{[t] "la matrice ligne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+'Rule{matrix-row-vector-simple{Matrix_SilentColNum{[t] "la matrice ligne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),'Rule;matrix-row-simple;default;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short");self::row;contains(@grammar, "simpleDet")'.split(";"),["Rule","matrix-row-simple",
+"Matrix_SilentColNum",'[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short")',"self::row"],'Rule;line-simple;default;[n] children/*[1];self::line;contains(@grammar, "simpleDet")'.split(";"),["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"colonne-,- ",sepFunc:CTXFpauseSeparator,separator:"medium"); [p] (pause:long)',"self::row"],["SpecializedRule","matrix-row","default","Matrix_SpeakColNum"],["Rule","matrix-cell","default","[n] children/*[1]","self::cell"],
+'Rule{matrix-end-matrix{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "fin matrice"{self::matrix{not(contains(@grammar, "EndMatrix"))'.split("{"),'Rule{matrix-end-vector{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "fin matrice"{self::vector{not(contains(@grammar, "EndMatrix"))'.split("{"),'Rule{matrix-end-determinant{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "fin d\u00e9terminant"{self::matrix{@role="determinant"{not(contains(@grammar, "EndMatrix"))'.split("{"),["Rule","vector","Matrix_Vector",
+'[t] "le vecteur colonne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:",grammar:simpleDet); [p] (pause:long)',"self::vector"],["SpecializedRule","vector","Matrix_Vector","Matrix_EndVector"],'Rule{vector-simple{Matrix_Vector{[t] "le vecteur colonne de dimension"; [t] count(children/*); [t] "par";  [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::vector{count(children/*)<4{CQFcellsSimple'.split("{"),
+["SpecializedRule","vector-simple","Matrix_Vector","Matrix_EndVector"],'Rule{row-vector{Matrix_Vector{[t] "le vecteur ligne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/*[1]/children/* (ctxtFunc:CTXFnodeCounter,context:"colonne-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),["SpecializedRule","row-vector","Matrix_Vector","Matrix_EndVector"],'Rule{row-vector-simple{Matrix_Vector{[t] "le vecteur ligne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+["SpecializedRule","row-vector-simple","Matrix_Vector","Matrix_EndVector"],'Rule{vector-end-matrix{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "fin matrice"{self::matrix{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule{vector-end-vector{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "fin vecteur"{self::vector{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule{vector-end-vector{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "fin vecteur"{self::matrix{@role="rowvector"{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),
+'Rule{vector-end-determinant{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "fin d\u00e9terminant"{self::matrix{@role="determinant"{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule,binomial,Matrix_Combinatoric,[n] children/*[2]/children/*[1]; [t] "parmi"; [n] children/*[1]/children/*[1]; ,self::vector,@role="binomial"'.split(","),'Rule{lines-summary{default{[p] (pause:short); [t] count(children/*); [t] "lignes";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary")){self::*'.split("{"),
+'Rule;lines-summary;MultiLineOverview_None;[n] . (grammar:layoutSummary);self::multiline;not(contains(@grammar, "layoutSummary"));self::*'.split(";"),["Aliases","lines-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],'Rule{cases-summary{default{[p] (pause:short); [t] count(children/*); [t] "cas";  [n] . (grammar:layoutSummary){self::cases{not(contains(@grammar, "layoutSummary"))'.split("{"),'Rule;cases-summary;MultiLineOverview_None;[n] . (grammar:layoutSummary);self::cases;not(contains(@grammar, "layoutSummary"));self::*'.split(";"),
+["Rule","lines","default",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Ligne-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',"self::table"],["Aliases","lines","self::multiline"],["Rule","line","default","[n] children/*[1]","self::line"],'Rule;row-medium;default;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"medium");self::row;@role="table"'.split(";"),["Aliases","row-medium","self::row",'@role="cases"'],'Rule;row-long;MultiLinePausesBetweenColumns_Long;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"long");self::row;@role="table"'.split(";"),
+["Aliases","row-long","self::row",'@role="cases"'],'Rule;row-short;MultiLinePausesBetweenColumns_Short;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short");self::row;@role="table"'.split(";"),["Aliases","row-short","self::row",'@role="cases"'],'Rule;blank-cell;default;[t] "vide";self::cell;count(children/*)=0'.split(";"),'Rule;blank-empty;default;[t] "vide";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),["Rule","cases","default",'[p] (pause:short);  [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Cas-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::cases"],'Rule{lines-cases-summary{MultiLineLabel_Case{[p] (pause:short); [t] count(children/*); [t] "cas";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-cases-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-cases","MultiLineLabel_Case",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Cas-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',"self::table"],
+["Aliases","lines-cases","self::multiline"],'Rule{lines-equations-summary{MultiLineLabel_Equation{[p] (pause:short); [t] count(children/*); [t] "\u00e9quations";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-equations-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-equations","MultiLineLabel_Equation",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"\u00c9quation-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-equations","self::multiline"],'Rule{lines-steps-summary{MultiLineLabel_Step{[p] (pause:short); [t] count(children/*); [t] " \u00e9tapes";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-steps-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-steps","MultiLineLabel_Step",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:" \u00c9tape-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-steps","self::multiline"],'Rule{lines-rows-summary{MultiLineLabel_Row{[p] (pause:short); [t] count(children/*); [t] "colonnes";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-rows-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-rows","MultiLineLabel_Row",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-rows","self::multiline"],'Rule{lines-constraints-summary{MultiLineLabel_Constraint{[p] (pause:short); [t] count(children/*); [t] "contraintes";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-constraints-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-constraints","MultiLineLabel_Constraint",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Contrainte-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-constraints","self::multiline"],'Rule{lines-none{MultiLineLabel_None{[p] (pause:short); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long){self::table{contains(@grammar, "layoutSummary")'.split("{"),["Aliases","lines-none","self::multiline",'contains(@grammar, "layoutSummary")'],["Aliases","lines-none","self::cases",'contains(@grammar, "layoutSummary")'],["Rule","bigop","default",'[t] "le"; [n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:short)',
+"self::bigop"],["Rule","limboth","default",'[n] children/*[1]; [t] "de"; [n] children/*[2];[t] "\u00e0"; [n] children/*[3];',"self::limboth"],["Rule","limlower","default",'[n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short)',"self::limlower"],["Rule","limupper","default",'[n] children/*[1]; [t] "sous"; [n] children/*[2]; [p] (pause:short)',"self::limupper"],["Rule","integral","default",'[t] "le"; [n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:short)',"self::integral"],["Rule",
+"overscript","default",'[n] children/*[1]; [t] "sous"; [n] children/*[2]; [p] (pause:short)',"self::overscore"],'Rule,overscript,default,[n] children/*[1]; [n] children/*[2];,self::overscore,children/*[2][@role="overaccent"]'.split(","),'Rule,overscript-limits,default,[n] children/*[1]; [t] "\u00e0"; [n] children/*[2],self::overscore,children/*[2][@role!="overaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role!="underaccent"]'.split(","),["Rule","underscript","default",'[n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short)',
+"self::underscore"],'Rule,underscript-limits,default,[n] children/*[1]; [t] "de"; [n] children/*[2],self::underscore,@role="underover",children/*[2][@role!="underaccent"]'.split(","),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "et"; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),'Rule{number-with-chars{default{[t] "nombre"; [m] CQFspaceoutNumber (grammar:protected){self::number{@role="othernumber"{"" != translate(text(), "0123456789.,", ""){not(contains(@grammar, "protected"))'.split("{"),
+'Rule,decimal-period,default,[t] "la d\u00e9cimale"; [n] children/*[1] (grammar:spaceout); [t] "virgule suivi par les chiffres r\u00e9p\u00e9t\u00e9s";  [n] children/*[3]/children/*[1] (grammar:spaceout),self::punctuated,@role="sequence",count(./content/*)=1,./content/*[1][@role="fullstop"],name(children/*[1])="number",children/*[1][@role="integer"],name(children/*[3])="overscore",children/*[3][@role="integer"],children/*[3]/children/*[2][@role="overaccent"],children/*[3]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,decimal-period,default,[t] "la d\u00e9cimale"; [n] children/*[1] (grammar:spaceout); [t] "suivi par les chiffres r\u00e9p\u00e9t\u00e9s";  [n] children/*[2]/children/*[1] (grammar:spaceout);,self::infixop,@role="implicit",count(./children/*)=2,name(children/*[1])="number",children/*[1][@role="float"],name(children/*[2])="overscore",children/*[2][@role="integer"],children/*[2]/children/*[2][@role="overaccent"],children/*[2]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,decimal-period-singular,default,[t] "la d\u00e9cimale"; [n] children/*[1] (grammar:spaceout); [t] "virgule suivi par le chiffre r\u00e9p\u00e9t\u00e9";  [n] children/*[3]/children/*[1] (grammar:spaceout),self::punctuated,@role="sequence",count(./content/*)=1,./content/*[1][@role="fullstop"],name(children/*[1])="number",children/*[1][@role="integer"],name(children/*[3])="overscore",children/*[3][@role="integer"],children/*[3]/children/*[2][@role="overaccent"],children/*[3]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],string-length(./children/*[3]/children/*[1]/text())=1'.split(","),
+'Rule,decimal-period-singular,default,[t] "la d\u00e9cimale"; [n] children/*[1] (grammar:spaceout); [t] "suivi par le chiffre r\u00e9p\u00e9t\u00e9";  [n] children/*[2]/children/*[1] (grammar:spaceout);,self::infixop,@role="implicit",count(./children/*)=2,name(children/*[1])="number",children/*[1][@role="float"],name(children/*[2])="overscore",children/*[2][@role="integer"],children/*[2]/children/*[2][@role="overaccent"],children/*[2]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],string-length(./children/*[2]/children/*[1]/text())=1'.split(","),
+'Rule;number-with-spaces;default;[m] CQFspaceoutNumber (grammar:!spaceout:number);self::number;contains(@grammar, "spaceout")'.split(";"),'Rule;decimal-point;default;[t] "point";self::punctuation;@role="fullstop";contains(@grammar,"number")'.split(";"),'Rule,line-segment,default,[t] "le segment"; [n] children/*[1]/children/*[1]; [n] children/*[1]/children/*[2]; [p] (pause:short),self::overscore,@role="implicit",children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],name(children/*[1])="infixop",count(./children/*[1]/children/*)=2'.split(","),
+'Rule,conjugate,Bar_Conjugate,[t] "le complexe conjugu\u00e9 de"; [n] children/*[1],self::overscore,children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),'Rule;defined-by;default;[t] "est d\u00e9fini par" (pause:short);self::overscore;@role="equality";@embellished="relation";name(children/*[2])="text";children/*[2][text()]="def"'.split(";"),'Rule,adorned-sign,default,[t] "signe"; [n] children/*[1] ; [t] "avec"; [n] children/*[2]; [t] "dessus",self::overscore,@embellished,name(children/*[1])="operator" or name(children/*[1])="relation"'.split(","),
+'Rule;factorial;default;[t] "factorielle";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),["Rule","tensor-base","default","[n] children/*[2]; [n] children/*[3]; [n] children/*[1]; [n] children/*[4]; [n] children/*[5]","self::tensor"],'Rule{left-super{default{[t] "exposant gauche"; [n] text(){self::*[@role="leftsuper"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{left-super{default{[t] "exposant gauche"; [m] children/*{self::punctuated{@role="leftsuper"{not(contains(@grammar,"combinatorics"))'.split("{"),
+'Rule{left-sub{default{[t] "indice gauche"; [n] text(){self::*[@role="leftsub"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{left-sub{default{[t] "indice gauche"; [m] children/*{self::punctuated{@role="leftsub"{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-super{default{[t] "exposant droite"; [n] text(){self::*[@role="rightsuper"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-super{default{[t] "exposant droite"; [m] children/*{self::punctuated{@role="rightsuper"{not(contains(@grammar,"combinatorics"))'.split("{"),
+'Rule{right-sub{default{[t] "indice droite"; [n] text(){self::*[@role="rightsub"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-sub{default{[t] "indice droite"; [m] children/*{self::punctuated{@role="rightsub"{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule;empty-index;default;[p] (pause:medium);self::empty;@role="rightsub" or @role="rightsuper" or @role="leftsub" or @role="leftsuper"'.split(";"),'Rule,combinatorics,default,[n] children/*[2] (grammar:combinatorics); [n] children/*[1]; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="P" or text()="C"]'.split(","),
+'Rule,choose,CombinationPermutation_ChoosePermute,[t] "combinaison de"; [n] children/*[3] (grammar:combinatorics); [t] "parmi"; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="C"]'.split(","),'Rule,permute,CombinationPermutation_ChoosePermute,[t] "permutation de"; [n] children/*[2] (grammar:combinatorics); [t] "parmi"; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="P"]'.split(",")]};
+sre.Grammar.getInstance().setPreprocessor("numbers2alpha",sre.ClearspeakUtil.numbersToAlpha);sre.ClearspeakGerman={locale:"de",domain:"clearspeak",functions:[["CTXF","CTXFpauseSeparator",sre.StoreUtil.pauseSeparator],["CTXF","CTXFnodeCounter",sre.ClearspeakUtil.nodeCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CSF","CSFvulgarFraction",sre.NumbersUtil.vulgarFraction],["CQF","CQFvulgarFractionSmall",sre.ClearspeakUtil.isSmallVulgarFraction],["CQF","CQFcellsSimple",sre.ClearspeakUtil.allCellsSimple],["CSF","CSFwordOrdinal",sre.ClearspeakUtil.wordOrdinal],["CQF","CQFisCapital",
+sre.ClearspeakUtil.isCapitalLetter],["CQF","CQFmatchingFences",sre.ClearspeakUtil.matchingFences],["CSF","CSFnestingDepth",sre.ClearspeakUtil.nestingDepth],["CQF","CQFfencedArguments",sre.ClearspeakUtil.fencedArguments],["CQF","CQFsimpleArguments",sre.ClearspeakUtil.simpleArguments],["CQF","CQFisHyperbolic",sre.ClearspeakUtil.isHyperbolic],["CQF","CQFisLogarithm",sre.ClearspeakUtil.isLogarithmWithBase],["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber]],rules:['Rule{collapsed{default{[t] "kollapiert"; [n] . (engine:modality=summary,grammar:collapsed){self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),
+["Rule","stree","default","[n] ./*[1]","self::stree"],["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::number;contains(@grammar, "protected")'.split(";"),["Rule","omit-empty","default",'[p] (pause:"short")',"self::empty"],'Rule{font{default{[t] @font (grammar:localFont); [n] self::* (grammar:ignoreFont=@font,pause:"short"){self::*{name(self::*)!="number"{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),["SpecializedRule","font",
+"default","Caps_SayCaps"],'Rule{font-number{default{[t] @font (grammar:localFontNumber); [n] . (grammar:ignoreFont=@font){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] self::* (grammar:ignoreFont=@font,pause:"short"){self::identifier{string-length(text())=1 or string-length(text())=2{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),["SpecializedRule","font-identifier",
+"default","Caps_SayCaps"],'Rule;omit-font;default;[n] self::* (grammar:ignoreFont=@font);self::identifier;string-length(text())=1 or string-length(text())=2;@font;not(contains(@grammar, "ignoreFont"));@font="italic";self::*'.split(";"),["SpecializedRule","omit-font","default","Caps_SayCaps"],'Rule{font-double-struck{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont){self::*{name(self::*)!="number"{string-length(text())=1 or string-length(text())=2{@font{not(contains(@grammar, "ignoreFont")){@font="double-struck"'.split("{"),
+["SpecializedRule","font-double-struck","default","Caps_SayCaps"],'Rule{font-number-double-struck{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFontNumber){self::number{string-length(text())=1 or string-length(text())=2{@font{not(contains(@grammar, "ignoreFont")){@font="double-struck"'.split("{"),["Rule","text","default","[n] text()","self::text"],'Rule;capital;default;[n] text() (pitch:0.6,grammar:ignoreCaps="gro\u00dfes");self::identifier;@role="latinletter" or @role="greekletter" or @role="simple function";CQFisCapital'.split(";"),
+'Rule;capital;Caps_SayCaps;[n] text();self::identifier;@role="latinletter" or @role="greekletter";CQFisCapital'.split(";"),'Rule{capital{Caps_SayCaps{[p] (pause:"short"); [n] text(){self::identifier{@role="latinletter" or @role="greekletter"{CQFisCapital{preceding-sibling::*[1]{not(name(preceding-sibling::*[1])="function"){not(contains(@grammar, "angle"))'.split("{"),'Rule;capital;Caps_SayCaps;[n] text() (pause:"short");self::identifier;@role="latinletter" or @role="greekletter";CQFisCapital;following-sibling::*[1]'.split(";"),
+'Rule{capital{Caps_SayCaps{[p] (pause:"short"); [n] text() (pause:"short"){self::identifier{@role="latinletter" or @role="greekletter"{CQFisCapital{preceding-sibling::*[1]{following-sibling::*[1]{not(name(preceding-sibling::*[1])="function"){not(contains(@grammar, "angle"))'.split("{"),'Rule,punctuation-lr,default,[p] (pause:"short"); [n] text() (pause:"short"),self::punctuation,@role="comma"'.split(","),'Rule;punctuation;default;[n] text();self::punctuation;@role="comma";not(preceding-sibling::*[1]/children);not(following-sibling::*[1]/children)'.split(";"),
+'Rule,punctuation-l,default,[p] (pause:"short"); [n] text(),self::punctuation,@role="comma",not(following-sibling::*[1]/children)'.split(","),'Rule;punctuation-r;default;[n] text() (pause:"short");self::punctuation;@role="comma";not(preceding-sibling::*[1]/children)'.split(";"),'Rule;ellipsis;Ellipses_AndSoOn;[t] "und so weiter";self::punctuation;@role="ellipsis";not(following-sibling::*[1]);not(preceding-sibling::*[last()][@role="ellipsis"])'.split(";"),'Rule;ellipsis;Ellipses_AndSoOn;[t] "und so weiter bis";self::punctuation;@role="ellipsis";preceding-sibling::*[1];following-sibling::*[1]'.split(";"),
+'Rule,vbar-evaluated,default,[n] children/*[1]; [p] (pause:"short"); [t] "ausgewertet f\u00fcr"; [n] content/*[1]/children/*[2]; [p] (pause:"short"),self::punctuated,@role="endpunct",content/*[1][@role="vbar"],content/*[1][@embellished],name(content/*[1])="subscript"'.split(","),'Rule,vbar-evaluated,default,[n] children/*[1]; [p] (pause:"short"); [t] "ausgewertet f\u00fcr"; [n] content/*[1]/children/*[2]; [p] (pause:"short"); [t] "minus des gleichen Ausdrucks ausgewertet f\u00fcr"; [n] content/*[1]/children/*[1]/children/*[2]; [p] (pause:"short"),self::punctuated,@role="endpunct",content/*[1][@role="vbar"],content/*[1][@embellished],name(content/*[1])="superscript",name(content/*[1]/children/*[1])="subscript"'.split(","),
+'Rule;vbar-such-that;VerticalLine_SuchThat;[t] "so dass";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;vbar-such-that;VerticalLine_Divides;[t] "teilt";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;vbar-such-that;VerticalLine_Given;[t] "f\u00fcr die gilt";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;set-member;default;[t] "in";self::operator;@role="set extended";text()="\u2208" or text()="\u220a"'.split(";"),
+["SpecializedRule","set-member","default","SetMemberSymbol_Element",'[t] "Element von"'],["SpecializedRule","set-member","default","SetMemberSymbol_Belongs",'[t] "geh\u00f6rt zu"'],'Rule;set-not-member;default;[t] "nicht in";self::operator;@role="set extended";text()="\u2209"'.split(";"),["SpecializedRule","set-not-member","default","SetMemberSymbol_Element",'[t] "kein Element von"'],["SpecializedRule","set-not-member","default","SetMemberSymbol_Belongs",'[t] "geh\u00f6rt nicht zu"'],'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"],self::*'.split(","),
+'Rule,feet,default,[n] children/*[1]; [t] "Fu\u00df",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2032"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,inches,default,[n] children/*[1]; [t] "Zoll",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2033"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,minutes,default,[p] (pause:short); [n] children/*[1]; [t] "Minuten",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2032"]'.split(","),
+'Rule,minute,default,[p] (pause:short); [n] children/*[1]; [t] "Minute",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),'Rule,seconds,default,[p] (pause:short); [n] children/*[1]; [t] "Sekunden",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2033"]'.split(","),'Rule,second,default,[p] (pause:short); [n] children/*[1]; [t] "Sekunde",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),
+'Rule,degrees-angle,Prime_Angle,[n] children/*[1]; [t] "Grad"; [p] (pause:short),self::punctuation,@role="degree"'.split(","),'Rule{minutes-angle{Prime_Angle{[n] children/*[1]; [t] "Minuten"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2032"]'.split("{"),'Rule,minute-angle,Prime_Angle,[n] children/*[1]; [t] "Minute"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),
+'Rule{seconds-angle{Prime_Angle{[n] children/*[1]; [t] "Sekunden"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2033"]'.split("{"),'Rule,second-angle,Prime_Angle,[n] children/*[1]; [t] "Sekunde"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),
+'Rule{feet-length{Prime_Length{[n] children/*[1]; [t] "Fu\u00df"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2032"]'.split("{"),'Rule{inches-length{Prime_Length{[n] children/*[1]; [t] "Zoll"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2033"]'.split("{"),
+["Rule","punctuated","default","[m] children/*","self::punctuated"],["Rule","function","default","[n] text()","self::function"],'Rule{function-article{default{[t] "der" (grammar:article); [n] text(){self::function{@role="prefix function"{contains(@grammar, "addArticle")'.split("{"),'Rule{function-article-fem{default{[t] "die" (grammar:article); [n] text(){self::function{@role="prefix function"{contains(@grammar, "addArticle"){text()="det" or text()="dim" or text()="tr"'.split("{"),["Rule","appl",
+"default",'[n] children/*[1]; [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short")',"self::appl"],'Rule,appl-simple,default,[n] children/*[1]; [t] "von"; [p] (pause:"short"); [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"),self::appl,@role="simple function",name(children/*[2])="appl"'.split(","),'Rule,appl-simple,default,[n] children/*[1]; [t] "von"; [p] (pause:"short"); [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"),self::appl,@role="simple function",name(children/*[2])="fenced",name(children/*[2]/children/*[1])="appl"'.split(","),
+["Rule","appl","Functions_None",'[p] (pause:"short"); [n] children/*[1]; [t] "mal"; [n] children/*[2]; [p] (pause:"short")',"self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,@role="prefix function"'.split(","),'Rule{binary-operation{ImpliedTimes_MoreImpliedTimes{[n] . (grammar:impliedTimes); [p] (pause:"short"){self::appl{@role="prefix function"{parent::*/parent::infixop[@role="implicit"]{following-sibling::*{not(contains(@grammar, "impliedTimes"))'.split("{"),
+'Rule{function-prefix-simple-arg{default{[n] children/*[1]; [n] children/*[2]{self::appl{@role="prefix function"{name(children/*[2])="fenced"{contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){name(children/*[2]/children/*[1])!="number"{name(children/*[2]/children/*[1])!="identifier"{name(children/*[2]/children/*[1])!="appl"'.split("{"),'Rule,function-prefix-embell,default,[p] (pause:"short"); [n] children/*[1]; [n] children/*[2]; [p] (pause:"short"); ,self::appl,@role="prefix function",name(children/*[1])!="function"'.split(","),
+'Rule{function-prefix-fenced-or-frac-arg{default{[p] (pause:"short"); [n] children/*[1] (grammar:addArticle); [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"){self::appl{@role="prefix function"{(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or name(children/*[2])="fraction" or (name(children/*[2])!="fenced" and not(contains(children/*[2]/@annotation, "clearspeak:simple"))){self::*'.split("{"),'Rule,function-prefix-subscript,default,[p] (pause:"short"); [n] children/*[1] (grammar:addArticle); [t] "von"; [p] (pause:"short"); [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"),self::appl,@role="prefix function",name(children/*[1])="subscript",self::*'.split(","),
+'Rule{function-ln{default{[n] children/*[1]; [n] children/*[2]{self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(following-sibling::*){not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-ln{default{[n] children/*[1]; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-ln{default{[n] children/*[1]; [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{name(children/*[2])="fenced"{not(contains(@grammar, "NatLog"))'.split("{"),
+'Rule;function-ln;Log_LnAsNaturalLog;[n] . (grammar:NatLog);self::appl;@role="prefix function";content/*[2][text()="ln"];not(following-sibling::*);not(contains(@grammar, "NatLog"))'.split(";"),'Rule{function-ln{Log_LnAsNaturalLog{[n] . (grammar:NatLog); [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-prefix-as-exp{default{[n] children/*[1]; [t] "von"; [p] (pause:"short"); [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"){self::appl{@role="prefix function"{name(parent::*/parent::*)="superscript"{not(following-sibling::*){(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or name(children/*[2])="fraction" or (name(children/*[2])!="fenced" and not(contains(children/*[2]/@annotation, "clearspeak:simple")))'.split("{"),
+'Rule,function-prefix-subscript-as-exp,default,[n] children/*[1]; [t] "von"; [p] (pause:"short"); [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"),self::appl,@role="prefix function",name(parent::*/parent::*)="superscript",not(following-sibling::*),name(children/*[1])="subscript"'.split(","),'Rule,function-prefix-hyper,default,[p] (pause:"short"); [n] children/*[1]; [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"),self::appl,@role="prefix function",CQFisHyperbolic'.split(","),
+'Rule{function-prefix-inverse{default{[p] (pause:"short"); [t] "der" (grammar:article); [t] "inverse" (grammar:masculine); [n] children/*[1]/children/*[1]; [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule,appl-triginverse,Trig_TrigInverse,[p] (pause:"short"); [n] children/*[1]; [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"),self::appl,@role="prefix function",name(children/*[1])="superscript",name(children/*[1]/children/*[2])="prefixop",children/*[1]/children/*[2][@role="negative"],children/*[1]/children/*[2]/children/*[1][text()="1"]'.split(","),
+'Rule{function-prefix-arc-simple{Trig_ArcTrig{[p] (pause:"short"); [t] "Arkus" (join:""); [n] children/*[1]/children/*[1] (grammar:lowercase); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule{function-prefix-arc-simple{Trig_ArcTrig{[p] (pause:"short"); [t] "Arkus" (join:""); [n] children/*[1]/children/*[1] (grammar:lowercase); [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{name(children/*[2])="fenced"{children/*[2]/children/*[1][@role="prefix function"]{contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule{function-prefix-arc{Trig_ArcTrig{[p] (pause:"short"); [t] "Arkus" (join:""); [n] children/*[1]/children/*[1] (grammar:lowercase); [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none")){(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or (name(children/*[2])="fraction" and children/*[2][@role!="vulgar"])'.split("{"),
+'Rule{function-inverse{default{[n] children/*[1]; [t] "invers"{self::superscript{@role="prefix function" or @role="simple function"{name(children/*[2])="prefixop"{children/*[2][@role="negative"]{children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule,superscript-prefix-function,default,[t] "die" (grammar:article); [n] children/*[2] (grammar:ordinal); [t] "Potenz von"; [n] children/*[1],self::superscript,@role="prefix function",name(children/*[2])="number",children/*[2][@role="integer"]'.split(","),
+'Rule,superscript-prefix-function,default,[t] "die" (grammar:article); [n] children/*[2] (grammar:ordinal); [t] "Potenz von"; [n] children/*[1],self::superscript,@role="prefix function",name(children/*[2])="identifier"'.split(","),'Rule;function-inverse;Functions_None;[n] . (grammar:functions_none);self::superscript;@role="prefix function" or @role="simple function";name(children/*[2])="prefixop";children/*[2][@role="negative"];children/*[2]/children/*[1][text()="1"];not(contains(@grammar, "functions_none"))'.split(";"),
+["Rule","superscript","default",'[n] children/*[1]; [t] "mit Exponent" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "Ende Exponent" (pause:"short")',"self::superscript"],'Rule,superscript-ordinal,default,[n] children/*[1]; [t] "hoch"; [n] children/*[2]; [p] (pause:"short"),self::superscript,name(children/*[2])="number",children/*[2][@role="integer"]'.split(","),'Rule,superscript-ordinal,default,[n] children/*[1]; [t] "hoch"; [n] children/*[2]; [p] (pause:"short"),self::superscript,name(children/*[2])="prefixop",children/*[2][@role="negative"],name(children/*[2]/children/*[1])="number",children/*[2]/children/*[1][@role="integer"]'.split(","),
+'Rule,superscript-ordinal,default,[n] children/*[1]; [t] "hoch"; [n] children/*[2]; [p] (pause:"short"),self::superscript,name(children/*[2])="identifier",children/*[2][@role="latinletter" or @role="greekletter" or @role="otherletter"]'.split(","),'Rule,superscript-ordinal-default,default,[n] children/*[1]; [t] "mit Exponent" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "Ende Exponent" (pause:"short"),self::superscript,children//superscript'.split(","),'Rule,superscript-simple-exponent,default,[n] children/*[1]; [t] "hoch"; [n] children/*[2]; [p] (pause:"short"),self::superscript,not(descendant::superscript)'.split(","),
+'Rule,superscript-simple-exponent-end,default,[n] children/*[1]; [t] "hoch"; [n] children/*[2]; ,self::superscript,not(descendant::superscript),not(following-sibling::*)'.split(","),'Aliases;superscript-simple-exponent;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="number";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),'Aliases;superscript-simple-exponent;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="fraction";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),
+["Aliases","superscript-simple-exponent","self::superscript",'children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"]','name(children/superscript/children/*[1])="identifier"'],'Aliases;superscript-simple-exponent;self::superscript;children/*[2][@role="implicit"];count(children/*[2]/children/*)=2;contains(children/*[2]/children/*[1]/@annotation, "simple");name(children/*[2]/children/*[2])="superscript";(name(children/*[2]/children/*[2]/children/*[1])="number" and contains(children/*[2]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple")) or name(children/*[2]/children/*[2]/children/*[1])="identifier";children/*[2]/children/*[2]/children/*[2][text()="2"] or children/*[2]/children/*[2]/children/*[2][text()="3"]'.split(";"),
+'Rule,superscript-simple-power,Exponent_OrdinalPower,[n] children/*[1]; [t] "potenziert mit"; [n] children/*[2]; [p] (pause:"short"),self::superscript,not(descendant::superscript)'.split(","),'Rule,superscript-simple-power-end,Exponent_OrdinalPower,[n] children/*[1]; [t] "potenziert mit"; [n] children/*[2]; ,self::superscript,not(descendant::superscript),not(following-sibling::*)'.split(","),'Aliases;superscript-simple-power;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="number";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),
+'Aliases;superscript-simple-power;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="fraction";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),["Aliases","superscript-simple-power","self::superscript",'children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"]','name(children/superscript/children/*[1])="identifier"'],
+'Aliases;superscript-simple-power;self::superscript;children/*[2][@role="implicit"];count(children/*[2]/children/*)=2;contains(children/*[2]/children/*[1]/@annotation, "simple");name(children/*[2]/children/*[2])="superscript";(name(children/*[2]/children/*[2]/children/*[1])="number" and contains(children/*[2]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple")) or name(children/*[2]/children/*[2]/children/*[1])="identifier";children/*[2]/children/*[2]/children/*[2][text()="2"] or children/*[2]/children/*[2]/children/*[2][text()="3"]'.split(";"),
+'Rule{superscript-ordinal-power{Exponent_OrdinalPower{[n] children/*[1]; [t] "zur"; [n] children/*[2] (grammar:ordinal,join:""); [t] "n Potenz" (pause:"short"){self::superscript{name(children/*[2])="number"{children/*[2][@role="integer"]'.split("{"),["Aliases","superscript-ordinal-power","self::superscript",'name(children/*[2])="identifier"','children/*[2][@role="latinletter" or @role="greekletter" or @role="otherletter"]'],'Rule{superscript-non-ordinal{Exponent_OrdinalPower{[n] children/*[1]; [t] "zur negativ"; [n] children/*[2]/children/*[1] (grammar:ordinal, join:""); [t] "n Potenz" (pause:"short"){self::superscript{children/*[2][@role="negative"]{name(children/*[2]/children/*[1])="number"{children/*[2]/children/*[1][@role="integer"]'.split("{"),
+'Rule{superscript-simple-function{Exponent_OrdinalPower{[t] "die" (grammar:article); [n] children/*[2] (grammar:ordinal); [t] "Potenz von" (pause:"short"); [n] children/*[1]{self::superscript{name(children/*[1])="identifier"{children/*[1][@role="simple function"]{children/*[2][@role!="prime"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule{exponent{default{[n] text() (join:""); [t] "te"{self::identifier{contains(@grammar, "ordinal")'.split("{"),'Rule;exponent;default;[t] CSFwordOrdinal;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),
+'Rule;exponent;default;[t] "nullte";self::number;@role="integer";contains(@grammar, "ordinal");text()="0"'.split(";"),'Rule,superscript-simple-exp,Exponent_Exponent,[n] children/*[1]; [t] "mit Exponent"; [n] children/*[2]; [p] (pause:"short"),self::superscript,not(descendant::superscript)'.split(","),'Rule,superscript-simple-exp-end,Exponent_Exponent,[n] children/*[1]; [t] "mit Exponent"; [n] children/*[2]; ,self::superscript,not(descendant::superscript),not(following-sibling::*)'.split(","),'Aliases;superscript-simple-exp;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="number";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),
+'Aliases;superscript-simple-exp;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="fraction";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),["Aliases","superscript-simple-exp","self::superscript",'children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"]','name(children/superscript/children/*[1])="identifier"'],
+'Aliases;superscript-simple-exp;self::superscript;children/*[2][@role="implicit"];count(children/*[2]/children/*)=2;contains(children/*[2]/children/*[1]/@annotation, "simple");name(children/*[2]/children/*[2])="superscript";(name(children/*[2]/children/*[2]/children/*[1])="number" and contains(children/*[2]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple")) or name(children/*[2]/children/*[2]/children/*[1])="identifier";children/*[2]/children/*[2]/children/*[2][text()="2"] or children/*[2]/children/*[2]/children/*[2][text()="3"]'.split(";"),
+'Rule;superscript-simple-function;Functions_None;[n] . (grammar:functions_none);self::superscript;name(children/*[1])="identifier";children/*[1][@role="simple function"];not(contains(@grammar, "functions_none"))'.split(";"),'Rule,square,default,[n] children/*[1]; [t] "Quadrat",self::superscript,children/*[2][text()="2"],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),self::*,self::*'.split(","),'Rule,cube,default,[n] children/*[1]; [t] "Kubik",self::superscript,children/*[2][text()="3"],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),self::*,self::*'.split(","),
+'Rule;paren-simple;default;[n] children/*[1];self::fenced;@role="leftright";contains(children/*[1]/@annotation, "clearspeak:simple");name(../..)!="superscript" and name(../..)!="subscript"'.split(";"),'Rule;paren-simple-exp;default;[n] children/*[1];self::fenced;@role="leftright";name(../..)="superscript";children/*[1][@role="integer"] or children/*[1][@role="float"] or (children/*[1][@role="vulgar"] and contains(children/*[1]/@annotation, "clearspeak:simple")) or children/*[1][@role="latinletter"] or children/*[1][@role="greekletter"] or children/*[1][@role="otherletter"]'.split(";"),
+'Rule;paren-simple-nested-func;default;[n] children/*[1];self::fenced;@role="leftright";name(../*[1])="identifier" or name(../*[1])="function";parent::*/parent::*[@role="simple function" or @role="prefix function"];children/*[1][@role="simple function" or @role="prefix function"];contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple") or name(children/*[1]/children/*[2]/children/*[1])="subscript" or name(children/*[1]/children/*[2]/children/*[1])="superscript" or children/*[1]/children/*[2]/children/*[1][@role="vulgar"] '.split(";"),
+'Rule{paren-simple-nested-func-no-bracket{Functions_None{[n] children/*[1];{self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{children/*[1][@role="simple function" or @role="prefix function"]{name(children/*[1]/children/*[1])="identifier" or name(children/*[1]/children/*[1])="function"{contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){name(children/*[1]/children/*[2]/children/*[1])="identifier" or name(children/*[1]/children/*[2]/children/*[1])="number"'.split("{"),
+'Rule,fences-open-close,default,[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"),self::fenced,@role="leftright"'.split(","),'Rule{paren-simple-nested-func{default{[p] (pause:"short"); [n] content/*[1]; [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2]; [p] (pause:"short"){self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{not(contains(children/*[1]/@annotation, "clearspeak:simple"))'.split("{"),
+'Rule{paren-simple-nested-func{Functions_None{[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"){self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{children/*[1][@role="simple function" or @role="prefix function"]{contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple") or name(children/*[1]/children/*[2]/children/*[1])="subscript" or name(children/*[1]/children/*[2]/children/*[1])="superscript" or children/*[1]/children/*[2]/children/*[1][@role="vulgar"] '.split("{"),
+["SpecializedRule","fences-open-close","default","Paren_Speak"],["Aliases","fences-open-close","self::fenced",'@role="composed function"'],["Rule","fence-silent","Paren_Silent",'[p] (pause:"short"); [n] children/*[1]; [p] (pause:"short")',"self::fenced"],'Rule,fences-open-close,ImpliedTimes_None,[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"),self::fenced,@role="leftright",parent::*/parent::*[@role!="simple function"],parent::*/parent::*[@role!="prefix function"]'.split(","),
+'Rule;fence-nesting;Paren_SpeakNestingLevel;[n] text() (grammar:insertNesting=CSFnestingDepth);self::fence;contains(@grammar, "spokenFence");CQFmatchingFences'.split(";"),["Rule","fence-no-nesting","Paren_SpeakNestingLevel","[n] text()","self::fence"],'Rule,fences-points,Paren_CoordPoint,[t] "der Punkt mit Koordinaten"; [n] children/*[1],self::fenced,name(children/*[1])="punctuated",children/*[1][@role="sequence"]'.split(","),'Rule{fences-interval{Paren_Interval{[t] "das Interval von"; [n] children/*[1]/children/*[1]; [t] "bis"; [n] children/*[1]/children/*[3]; [p] (pause:"short"); [n] . (grammar:interval){self::fenced{not(contains(@grammar, "interval")){name(children/*[1])="punctuated"{children/*[1][@role="sequence"]{count(./children/*[1]/content/*)=1{children/*[1]/content/*[1][@role="comma"]'.split("{"),
+'Rule{interval-open{Paren_Interval{[t] "ohne"; [n] children/*[1]/children/*[1]; [t] "und"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"'.split("{"),'Rule{interval-closed-open{Paren_Interval{[t] "einschlie\u00dflich"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [t] "aber ohne"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()=")"'.split("{"),
+'Rule{interval-open-closed{Paren_Interval{[t] "ohne"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [t] "aber einschlie\u00dflich"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()="]"'.split("{"),'Rule{interval-closed{Paren_Interval{[t] "einschlie\u00dflich"; [n] children/*[1]/children/*[1]; [t] "und"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()="]"'.split("{"),
+'Rule{interval-open-inf-r{Paren_Interval{[t] "ohne"; [n] children/*[1]/children/*[1]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"{children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e")'.split("{"),'Rule{interval-open-inf-l{Paren_Interval{[t] "ohne"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"{children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split("{"),
+'Rule;interval-open-inf-lr;Paren_Interval;;self::fenced;contains(@grammar, "interval");content/*[1]/text()="(";content/*[2]/text()=")";children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e");children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split(";"),'Rule{interval-closed-open-inf{Paren_Interval{[t] "einschlie\u00dflich"; [n] children/*[1]/children/*[1]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()=")"{children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e")'.split("{"),
+'Rule{interval-open-closed-inf{Paren_Interval{[t] "einschlie\u00dflich"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()="]"{children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split("{"),'Rule,paren-nested-embellished-funcs,Functions_None,[p] (pause:"short"); [n] content/*[1]; [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2]; [p] (pause:"short"),self::fenced,@role="leftright",name(../..)="appl",name(children/*[1]) = "appl",preceding-sibling::*/descendant-or-self::*[@role="subsup"] or children/*[1]/descendant-or-self::*[@role="subsup"]'.split(","),
+'Rule;set-empty;default;[t]  "die leere Menge";self::fenced;@role="set empty"'.split(";"),'Rule,set-extended,default,[t] "die Menge aller"; [n] children/*[1]/children/*[1]; [t] "mit"; [n] children/*[1]/children/*[3],self::fenced,@role="set extended"'.split(","),'Rule,set-collection,default,[t] "die Menge"; [n] children/*[1],self::fenced,@role="set collection"'.split(","),["Aliases","set-collection","self::fenced",'@role="set singleton"'],'Rule,set-extended,Sets_woAll,[t] "die Menge von"; [n] children/*[1]/children/*[1]; [t] "mit"; [n] children/*[1]/children/*[3],self::fenced,@role="set extended"'.split(","),
+'Rule;set-collection;Sets_SilentBracket;[n] children/*[1];self::fenced;@role="set collection"'.split(";"),["Rule","subscript","default",'[p] (pause:short); [n] children/*[1]; [t] "Index"; [n] children/*[2]; [p] (pause:short)',"self::subscript"],'Rule,subscript-base,default,[n] children/*[1]; [t] "Basis"; [n] children/*[2],self::subscript,CQFisLogarithm'.split(","),'Rule{subscript-index{default{[n] children/*[1]; [t] "Index"; [n] children/*[2]{self::subscript{contains(@grammar, "simpleDet")'.split("{"),
+["Rule","fraction","default",'[p] (pause:short); [t] "Bruch mit Z\u00e4hler"; [n] children/*[1]; [p] (pause:short); [t] "und Nenner"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],'Rule,fraction,Functions_None,[p] (pause:short); [t] "Bruch mit Z\u00e4hler"; [n] children/*[1]; [p] (pause:short); [t] "und Nenner"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="appl" or name(children/*[2])="appl"'.split(","),'Rule{simple-fraction{default{[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short){self::fraction{contains(children/*[1]/@annotation, "clearspeak:simple") or contains(children/*[1]/@annotation, "clearspeak:unit"){contains(children/*[2]/@annotation, "clearspeak:simple") or contains(children/*[2]/@annotation, "clearspeak:unit")'.split("{"),
+'Rule,simple-vulgar-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short),self::fraction,@role="vulgar"'.split(","),'Rule,simple-text-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="text",name(children/*[2])="text"'.split(","),'Rule,simple-text-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="infixop",children/*[1][@role="unit"],name(children/*[2])="text"'.split(","),
+'Rule;vulgar-fraction;default;[t] CSFvulgarFraction (grammar:correctOne);self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["Rule","fraction","Fraction_Over",'[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_OverEndFrac",'[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short); [t] "Ende Bruch"; [p] (pause:short)',"self::fraction"],["Rule","fraction",
+"Fraction_FracOver",'[p] (pause:short); [t] "Bruch"; [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_Per",'[p] (pause:short); [n] children/*[1]; [t] "per"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_GeneralEndFrac",'[p] (pause:short); [t] "Bruch mit Z\u00e4hler"; [n] children/*[1]; [p] (pause:short); [t] "und Nenner"; [n] children/*[2]; [p] (pause:short); [t] "Ende Bruch"; [p] (pause:short)',
+"self::fraction"],["Rule","fraction","Fraction_General",'[p] (pause:short); [t] "Bruch mit Z\u00e4hler"; [n] children/*[1]; [p] (pause:short); [t] "und Nenner"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],'Rule;simple-vulgar-fraction;Fraction_Ordinal;[t] CSFvulgarFraction (grammar:correctOne);self::fraction;@role="vulgar"'.split(";"),'Rule{fraction{Fraction_EndFrac{[p] (pause:short); [n] . (grammar:endfrac); [t] "Ende Bruch"; [p] (pause:short){self::fraction{not(contains(@grammar, "endfrac")){not(contains(children/*[1]/@annotation, "clearspeak:unit")){not(contains(children/*[2]/@annotation, "clearspeak:unit"))'.split("{"),
+'Rule{vulgar-fraction{Fraction_EndFrac{[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short){self::fraction{name(children/*[1])="fraction"{name(children/*[2])="fraction"{contains(children/*[1]/@annotation, "clearspeak:simple"){contains(children/*[2]/@annotation, "clearspeak:simple")'.split("{"),'Rule;simple-vulgar-fraction;Fraction_EndFrac;[t] CSFvulgarFraction (grammar:correctOne);self::fraction;@role="vulgar";contains(@annotation, "clearspeak:simple");self::*'.split(";"),
+["Rule","sqrt","default",'[t] "Quadratwurzel aus"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short)',"self::sqrt"],'Rule,sqrt-nested,default,[p] (pause: "short"); [t] "Quadratwurzel aus"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),'Rule,negative-sqrt,default,[t] "negative Quadratwurzel aus"; [n] children/*[1]/children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::prefixop,@role="negative",name(children/*[1])="sqrt"'.split(","),
+'Rule,negative-sqrt,default,[p] (pause: "short"); [t] "negative Quadratwurzel aus"; [n] children/*[1]/children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::prefixop,@role="negative",name(children/*[1])="sqrt",not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),'Rule,sqrt-plus-minus,Roots_PosNegSqRoot,[t] "positive Quadratwurzel aus"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),
+'Rule,sqrt-nested-plus-minus,Roots_PosNegSqRoot,[p] (pause: "short"); [t] "positive Quadratwurzel aus"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),'Rule,sqrt-plus-minus,Roots_PosNegSqRootEnd,[t] "positive Quadratwurzel aus"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),
+'Rule,sqrt-nested-plus-minus,Roots_PosNegSqRootEnd,[p] (pause: "short"); [t] "positive Quadratwurzel aus"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),'Rule{sqrt-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "Wurzel Ende"; [p] (pause:short){self::sqrt{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule{negative-sqrt-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "Wurzel Ende"; [p] (pause:short){self::prefixop{@role="negative"{name(children/*[1])="sqrt"{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{sqrt-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "Wurzel Ende"; [p] (pause:short){self::sqrt{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{negative-sqrt-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "Wurzel Ende"; [p] (pause:short){self::prefixop{@role="negative"{name(children/*[1])="sqrt"{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule,cube,default,[t] "Kubikwurzel aus"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,children/*[1][text()="3"]'.split(","),'Rule,cube-nested,default,[p] (pause:short); [t] "Kubikwurzel aus"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,children/*[1][text()="3"],not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),["Rule","root","default",'[t] "die" (grammar:article); [n] children/*[1] (grammar:ordinal); [t] "Wurzel aus"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short)',
+"self::root"],'Rule,root-nested,default,[p] (pause:short); [t] "die" (grammar:article); [n] children/*[1] (grammar:ordinal); [t] "Wurzel aus"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),'Rule{root-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "Wurzel Ende"; [p] (pause:short){self::root{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{root-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "Wurzel Ende"; [p] (pause:short){self::root{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule,negative,default,[t] "minus"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),'Rule,positive,default,[t] "plus"; [n] children/*[1],self::prefixop,@role="positive"'.split(","),'Rule,angle-measure,default,[t] "das Ma\u00df des Winkels"; [n] children/*[2] (grammar:angle),self::infixop,content/*[1]/text()="\u2220",children/*[1][text()="m"]'.split(","),["Rule","prefix","default","[m] content/* (grammar:prefix); [n] children/*[1]","self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [m] content/* (grammar:postfix)",
+"self::postfixop"],'Rule{set-prefix-operators{default{[t] "der" (grammar:article); [n] self::* (grammar:!prefix); [t] "von"{self::*{contains(@grammar,"prefix"){descendant-or-self::*/text()="\u2229"{self::*{self::*{self::*'.split("{"),'Rule{set-prefix-operators{default{[t] "die" (grammar:article); [n] self::* (grammar:!prefix); [t] "von"{self::*{contains(@grammar,"prefix"){descendant-or-self::*/text()="\u222a"{self::*{self::*{self::*'.split("{"),["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);",
+"self::infixop"],'Rule,binary-operation,ImpliedTimes_MoreImpliedTimes,[m] children/* (sepFunc:CTXFcontentIterator);,self::infixop,@role="implicit"'.split(","),'Rule,binary-operation-pause,default,[p] (pause:short); [m] children/* (sepFunc:CTXFcontentIterator);,self::infixop,@role="implicit",name(children/*[1])="appl"'.split(","),'Rule,binary-operation-pause,default,[m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:short),self::infixop,@role="implicit",name(children/*[last()])="appl"'.split(","),
+'Rule,binary-operation-pause,default,[p] (pause:short); [m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:short),self::infixop,@role="implicit",name(children/*[1])="appl",name(children/*[last()])="appl"'.split(","),'Rule;implicit-times;default;[p] (pause:short);self::operator;@role="multiplication";text()="\u2062"'.split(";"),'Rule implicit-times default  self::operator @role="multiplication" text()="\u2062" CQFsimpleArguments'.split(" "),'Rule;implicit-times;default;[n] text();self::operator;@role="multiplication";text()="\u2062";CQFfencedArguments'.split(";"),
+'Rule;implicit-times;ImpliedTimes_MoreImpliedTimes;[n] text();self::operator;@role="multiplication";text()="\u2062"'.split(";"),'Rule implicit-times ImpliedTimes_None  self::operator @role="multiplication" text()="\u2062"'.split(" "),'Rule{binary-operation-simple{default{[m] children/* (rate:"0.5"); [p] (pause:short){self::infixop{@role="implicit"{contains(@annotation, "clearspeak:simple"){not(contains(@grammar, "inFrac"))'.split("{"),'Rule;simple-in-fraction;default;[n] . (rate:"0.5",grammar:inFrac);self::*;contains(@annotation, "clearspeak:simple");not(contains(@grammar, "inFrac"));name(.)!="identifier";name(.)!="function";name(.)!="number";name(parent::*/parent::*)="fraction";not(preceding-sibling::*)'.split(";"),
+'Rule;operators-after-power;Exponent_AfterPower;[m] children/* (rate:"0.5");self::infixop;@role="implicit";contains(@grammar, "afterPower")'.split(";"),["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],'Rule;natural-numbers;default;[t] "die nat\u00fcrlichen Zahlen";self::identifier;text()="\u2115" or (text()="N" and @font="double-struck");self::*;self::*;self::*;self::*;self::*'.split(";"),
+'Rule;integers;default;[t] "die ganzen Zahlen";self::identifier;text()="\u2124" or (text()="Z" and @font="double-struck");self::*;self::*;self::*;self::*;self::*'.split(";"),'Rule;rational-numbers;default;[t] "die rationalen Zahlen";self::identifier;text()="\u211a" or (text()="Q" and @font="double-struck");self::*;self::*;self::*;self::*;self::*'.split(";"),'Rule;real-numbers;default;[t] "die reellen Zahlen";self::identifier;text()="\u211d" or (text()="R" and @font="double-struck");self::*;self::*;self::*;self::*;self::*'.split(";"),
+'Rule;complex-numbers;default;[t] "die komplexen Zahlen";self::identifier;text()="\u2102" or (text()="C" and @font="double-struck");self::*;self::*;self::*;self::*;self::*'.split(";"),'Rule,natural-numbers-super,default,[t] "n" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2115" or (children/*[1]/text()="N" and @font="double-struck"),self::*,self::*,self::*,self::*,self::*'.split(","),'Rule,integers-super,default,[t] "z" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck"),self::*,self::*,self::*,self::*,self::*'.split(","),
+'Rule,rational-numbers-super,default,[t] "q" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck"),self::*,self::*,self::*,self::*,self::*'.split(","),'Rule,real-numbers-super,default,[t] "r" (join:"-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u211d" or (children/*[1]/text()="R" and @font="double-struck"),self::*,self::*,self::*,self::*,self::*'.split(","),
+'Rule,complex-numbers-super,default,[t] "c" (join:"-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2102" or (children/*[1]/text()="C" and @font="double-struck"),self::*,self::*,self::*,self::*,self::*'.split(","),'Rule;natural-numbers-with-zero;default;[t] "die nat\u00fcrlichen Zahlen mit Null";self::subscript;children/*[1]/text()="\u2115" or (children/*[1]/text()="N" and @font="double-struck");children/*[2]/text()="0";self::*;self::*;self::*;self::*;self::*'.split(";"),
+'Rule;positive-integers;default;[t] "die positiven ganzen Zahlen";self::superscript;children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck");children/*[2]/text()="+";self::*;self::*;self::*;self::*;self::*'.split(";"),'Rule;positive-integers;default;[t] "die negativen ganzen Zahlen";self::superscript;children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck");children/*[2]/text()="-";self::*;self::*;self::*;self::*;self::*'.split(";"),'Rule;positive-rational-numbers;default;[t] "die positiven rationalen Zahlen";self::superscript;children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck");children/*[2]/text()="+";self::*;self::*;self::*;self::*;self::*'.split(";"),
+'Rule;negative-rational-numbers;default;[t] "die negativen rationalen Zahlen";self::superscript;children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck");children/*[2]/text()="-";self::*;self::*;self::*;self::*;self::*'.split(";"),'Rule,fences-neutral,default,[p] (pause:short); [t] "der Betrag von"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),'Rule,fences-neutral,AbsoluteValue_AbsEnd,[p] (pause:short); [t] "der Betrag von"; [n] children/*[1]; [p] (pause: short); [t] "Ende Betrag"; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+'Rule,fences-neutral,AbsoluteValue_Cardinality,[p] (pause:short); [t] "die M\u00e4chtigkeit der Menge"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),'Rule,fences-neutral,AbsoluteValue_Determinant,[p] (pause:short); [t] "die Determinante von"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["Rule","matrix","default",'[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Matrize"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:"); [p] (pause:long)',"self::matrix"],'Rule{matrix-simple{default{[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Matrize"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:",grammar:simpleDet); [p] (pause:long){self::matrix{count(children/*)<4{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+'Rule,matrix-trivial,default,[t] "die 1 mal 1 Matrize mit Element"; [n] children/*[1]; [p] (pause:long),self::vector,@role="squarematrix"'.split(","),'Rule{determinant{default{[t] "die" (grammar:article); [t] "Determinante der"; [t] count(children/*); [t] "mal"; [t] count(children/*[1]/children/*); [t] "Matrize"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="determinant"{count(children/*)<4{CQFcellsSimple'.split("{"),
+'Rule{determinant-simple{default{[t] "die" (grammar:article); [t] "Determinante der"; [t] count(children/*); [t] "mal"; [t] count(children/*[1]/children/*); [t] "Matrize"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:"); [p] (pause:long){self::matrix{@role="determinant"'.split("{"),["Rule","matrix-vector","default",'[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Spaltenmatrize"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:",grammar:simpleDet); [p] (pause:long)',
+"self::vector"],["SpecializedRule","matrix-vector","default","Matrix_SpeakColNum"],'Rule{matrix-vector-simple{default{[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Spaltenmatrize"; [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::vector{count(children/*)<4{CQFcellsSimple{@role!="squarematrix"'.split("{"),["Rule","matrix-vector-simple","Matrix_SilentColNum",'[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Spaltenmatrize"; [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long)',
+"self::vector"],'Rule{matrix-row-vector{default{[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Zeilenmatrize"; [p] (pause:long); [m] children/*[1]/children/* (ctxtFunc:CTXFnodeCounter,context:"Spalte-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),["SpecializedRule","matrix-row-vector","default","Matrix_SpeakColNum"],'Rule{matrix-row-vector-simple{default{[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Zeilenmatrize"; [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+'Rule{matrix-row-vector-simple{Matrix_SilentColNum{[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Zeilenmatrize"; [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),'Rule;matrix-row-simple;default;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short");self::row;contains(@grammar, "simpleDet")'.split(";"),["Rule",
+"matrix-row-simple","Matrix_SilentColNum",'[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short")',"self::row"],'Rule;line-simple;default;[n] children/*[1];self::line;contains(@grammar, "simpleDet")'.split(";"),["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"Spalte-,- ",sepFunc:CTXFpauseSeparator,separator:"medium"); [p] (pause:long)',"self::row"],["SpecializedRule","matrix-row","default","Matrix_SpeakColNum"],["Rule","matrix-cell","default","[n] children/*[1]",
+"self::cell"],'Rule{matrix-end-matrix{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "Ende Matrize"{self::matrix{not(contains(@grammar, "EndMatrix"))'.split("{"),'Rule{matrix-end-vector{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "Ende Matrize"{self::vector{not(contains(@grammar, "EndMatrix"))'.split("{"),'Rule{matrix-end-determinant{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "Ende Determinante"{self::matrix{@role="determinant"{not(contains(@grammar, "EndMatrix"))'.split("{"),["Rule","vector",
+"Matrix_Vector",'[t] "der" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Spaltenvektor"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:",grammar:simpleDet); [p] (pause:long)',"self::vector"],["SpecializedRule","vector","Matrix_Vector","Matrix_EndVector"],'Rule{vector-simple{Matrix_Vector{[t] "der" (grammar:article); [t] count(children/*);  [t] "mal"; [t] count(children/*[1]/children/*); [t] "Spaltenvektor"; [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::vector{count(children/*)<4{CQFcellsSimple'.split("{"),
+["SpecializedRule","vector-simple","Matrix_Vector","Matrix_EndVector"],'Rule{row-vector{Matrix_Vector{[t] "der" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Zeilenvektor"; [p] (pause:long); [m] children/*[1]/children/* (ctxtFunc:CTXFnodeCounter,context:"Spalte-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),["SpecializedRule","row-vector","Matrix_Vector","Matrix_EndVector"],'Rule{row-vector-simple{Matrix_Vector{[t] "der" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Zeilenvektor"; [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+["SpecializedRule","row-vector-simple","Matrix_Vector","Matrix_EndVector"],'Rule{vector-end-matrix{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "Ende Matrize"{self::matrix{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule{vector-end-vector{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "Ende Vektor"{self::vector{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule{vector-end-vector{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "Ende Vektor"{self::matrix{@role="rowvector"{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),
+'Rule{vector-end-determinant{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "Ende Determinante"{self::matrix{@role="determinant"{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule,binomial,Matrix_Combinatoric,[n] children/*[1]/children/*[1]; [t] "\u00fcber"; [n] children/*[2]/children/*[1]; ,self::vector,@role="binomial"'.split(","),'Rule{lines-summary{default{[p] (pause:short); [t] count(children/*); [t] "Zeilen";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary")){self::*'.split("{"),
+'Rule;lines-summary;MultiLineOverview_None;[n] . (grammar:layoutSummary);self::multiline;not(contains(@grammar, "layoutSummary"));self::*'.split(";"),["Aliases","lines-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],'Rule{cases-summary{default{[p] (pause:short); [t] count(children/*); [t] "F\u00e4lle";  [n] . (grammar:layoutSummary){self::cases{not(contains(@grammar, "layoutSummary"))'.split("{"),'Rule;cases-summary;MultiLineOverview_None;[n] . (grammar:layoutSummary);self::cases;not(contains(@grammar, "layoutSummary"));self::*'.split(";"),
+["Rule","lines","default",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',"self::table"],["Aliases","lines","self::multiline"],["Rule","line","default","[n] children/*[1]","self::line"],'Rule;row-medium;default;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"medium");self::row;@role="table"'.split(";"),["Aliases","row-medium","self::row",'@role="cases"'],'Rule;row-long;MultiLinePausesBetweenColumns_Long;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"long");self::row;@role="table"'.split(";"),
+["Aliases","row-long","self::row",'@role="cases"'],'Rule;row-short;MultiLinePausesBetweenColumns_Short;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short");self::row;@role="table"'.split(";"),["Aliases","row-short","self::row",'@role="cases"'],'Rule;blank-cell;default;[t] "leer";self::cell;count(children/*)=0'.split(";"),'Rule;blank-empty;default;[t] "leer";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),["Rule","cases","default",'[p] (pause:short);  [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Fall-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::cases"],'Rule{lines-cases-summary{MultiLineLabel_Case{[p] (pause:short); [t] count(children/*); [t] "F\u00e4lle";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-cases-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-cases","MultiLineLabel_Case",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Fall-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',"self::table"],
+["Aliases","lines-cases","self::multiline"],'Rule{lines-equations-summary{MultiLineLabel_Equation{[p] (pause:short); [t] count(children/*); [t] "Gleichungen";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-equations-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-equations","MultiLineLabel_Equation",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Gleichung-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-equations","self::multiline"],'Rule{lines-steps-summary{MultiLineLabel_Step{[p] (pause:short); [t] count(children/*); [t] "Rechenschritte";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-steps-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-steps","MultiLineLabel_Step",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Schritt-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-steps","self::multiline"],'Rule{lines-rows-summary{MultiLineLabel_Row{[p] (pause:short); [t] count(children/*); [t] "Zeilen";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-rows-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-rows","MultiLineLabel_Row",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-rows","self::multiline"],'Rule{lines-constraints-summary{MultiLineLabel_Constraint{[p] (pause:short); [t] count(children/*); [t] "Bedingungen";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-constraints-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-constraints","MultiLineLabel_Constraint",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Bedingung-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-constraints","self::multiline"],'Rule{lines-none{MultiLineLabel_None{[p] (pause:short); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long){self::table{contains(@grammar, "layoutSummary")'.split("{"),["Aliases","lines-none","self::multiline",'contains(@grammar, "layoutSummary")'],["Aliases","lines-none","self::cases",'contains(@grammar, "layoutSummary")'],["Rule","bigop","default",'[n] children/*[1]; [t] "\u00fcber"; [n] children/*[2]; [p] (pause:short)',
+"self::bigop"],["Rule","limboth","default",'[n] children/*[1]; [t] "von"; [n] children/*[2];[t] "bis"; [n] children/*[3];',"self::limboth"],["Rule","limlower","default",'[n] children/*[1]; [t] "\u00fcber"; [n] children/*[2]; [p] (pause:short)',"self::limlower"],["Rule","limupper","default",'[n] children/*[1]; [t] "unter"; [n] children/*[2]; [p] (pause:short)',"self::limupper"],["Rule","integral","default",'[t] "das"; [n] children/*[1]; [t] "\u00fcber"; [n] children/*[2]; [p] (pause:short)',"self::integral"],
+["Rule","overscript","default",'[n] children/*[1]; [t] "unter"; [n] children/*[2]; [p] (pause:short)',"self::overscore"],'Rule,overscript,default,[n] children/*[1]; [n] children/*[2];,self::overscore,children/*[2][@role="overaccent"]'.split(","),'Rule,overscript-limits,default,[n] children/*[1]; [t] "bis"; [n] children/*[2],self::overscore,children/*[2][@role!="overaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role!="underaccent"]'.split(","),["Rule","underscript","default",
+'[n] children/*[1]; [t] "\u00fcber"; [n] children/*[2]; [p] (pause:short)',"self::underscore"],'Rule,underscript-limits,default,[n] children/*[1]; [t] "von"; [n] children/*[2],self::underscore,@role="underover",children/*[2][@role!="underaccent"]'.split(","),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),'Rule{number-with-chars{default{[t] "Zahl"; [m] CQFspaceoutNumber (grammar:protected){self::number{@role="othernumber"{"" != translate(text(), "0123456789.,", ""){not(contains(@grammar, "protected"))'.split("{"),
+'Rule,decimal-period,default,[t] "Dezimalbruch"; [n] children/*[1] (grammar:spaceout); [t] "Komma mit Periode";  [n] children/*[3]/children/*[1] (grammar:spaceout),self::punctuated,@role="sequence",count(./content/*)=1,./content/*[1][@role="fullstop"],name(children/*[1])="number",children/*[1][@role="integer"],name(children/*[3])="overscore",children/*[3][@role="integer"],children/*[3]/children/*[2][@role="overaccent"],children/*[3]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,decimal-period,default,[t] "Dezimalbruch"; [n] children/*[1] (grammar:spaceout); [t] "mit Periode";  [n] children/*[2]/children/*[1] (grammar:spaceout);,self::infixop,@role="implicit",count(./children/*)=2,name(children/*[1])="number",children/*[1][@role="float"],name(children/*[2])="overscore",children/*[2][@role="integer"],children/*[2]/children/*[2][@role="overaccent"],children/*[2]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,decimal-period-singular,default,[t] "Dezimalbruch"; [n] children/*[1] (grammar:spaceout); [t] "Komma mit Periode";  [n] children/*[3]/children/*[1] (grammar:spaceout),self::punctuated,@role="sequence",count(./content/*)=1,./content/*[1][@role="fullstop"],name(children/*[1])="number",children/*[1][@role="integer"],name(children/*[3])="overscore",children/*[3][@role="integer"],children/*[3]/children/*[2][@role="overaccent"],children/*[3]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],string-length(./children/*[3]/children/*[1]/text())=1'.split(","),
+'Rule,decimal-period-singular,default,[t] "Dezimalbruch"; [n] children/*[1] (grammar:spaceout); [t] "mit Periode";  [n] children/*[2]/children/*[1] (grammar:spaceout);,self::infixop,@role="implicit",count(./children/*)=2,name(children/*[1])="number",children/*[1][@role="float"],name(children/*[2])="overscore",children/*[2][@role="integer"],children/*[2]/children/*[2][@role="overaccent"],children/*[2]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],string-length(./children/*[2]/children/*[1]/text())=1'.split(","),
+'Rule;number-with-spaces;default;[m] CQFspaceoutNumber (grammar:!spaceout:number);self::number;contains(@grammar, "spaceout")'.split(";"),'Rule;decimal-point;default;[t] "Komma";self::punctuation;@role="fullstop";contains(@grammar,"number")'.split(";"),'Rule,line-segment,default,[t] "die Strecke"; [n] children/*[1]/children/*[1]; [n] children/*[1]/children/*[2]; [p] (pause:short),self::overscore,@role="implicit",children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],name(children/*[1])="infixop",count(./children/*[1]/children/*)=2'.split(","),
+'Rule,conjugate,Bar_Conjugate,[t] "die komplexe Konjugation von"; [n] children/*[1],self::overscore,children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),'Rule;defined-by;default;[t] "ist definiert als" (pause:short);self::overscore;@role="equality";@embellished="relation";name(children/*[2])="text";children/*[2][text()]="def"'.split(";"),'Rule,adorned-sign,default,[n] children/*[1] ; [t] "Zeichen mit dar\u00fcberstehendem"; [n] children/*[2],self::overscore,@embellished,name(children/*[1])="operator" or name(children/*[1])="relation"'.split(","),
+'Rule;factorial;default;[t] "Fakult\u00e4t";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),["Rule","tensor-base","default","[n] children/*[2]; [n] children/*[3]; [n] children/*[1]; [n] children/*[4]; [n] children/*[5]","self::tensor"],'Rule{left-super{default{[t] "linker oberer Index"; [n] text(){self::*[@role="leftsuper"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{left-super{default{[t] "linker oberer Index"; [m] children/*{self::punctuated{@role="leftsuper"{not(contains(@grammar,"combinatorics"))'.split("{"),
+'Rule{left-sub{default{[t] "linker unterer Index"; [n] text(){self::*[@role="leftsub"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{left-sub{default{[t] "linker unterer Index"; [m] children/*{self::punctuated{@role="leftsub"{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-super{default{[t] "rechter oberer Index"; [n] text(){self::*[@role="rightsuper"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-super{default{[t] "rechter oberer Index"; [m] children/*{self::punctuated{@role="rightsuper"{not(contains(@grammar,"combinatorics"))'.split("{"),
+'Rule{right-sub{default{[t] "rechter unterer Index"; [n] text(){self::*[@role="rightsub"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-sub{default{[t] "rechter unterer Index"; [m] children/*{self::punctuated{@role="rightsub"{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule;empty-index;default;[p] (pause:medium);self::empty;@role="rightsub" or @role="rightsuper" or @role="leftsub" or @role="leftsuper"'.split(";"),'Rule,combinatorics,default,[n] children/*[2] (grammar:combinatorics); [n] children/*[1]; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="P" or text()="C"]'.split(","),
+'Rule,choose,CombinationPermutation_ChoosePermute,[n] children/*[4] (grammar:combinatorics); [t] "aus"; [n] children/*[2] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="C"]'.split(","),'Rule,permute,CombinationPermutation_ChoosePermute,[n] children/*[4] (grammar:combinatorics); [t] "Permutionen von"; [n] children/*[2] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="P"]'.split(",")]};
+sre.Grammar.getInstance().setPreprocessor("numbers2alpha",sre.ClearspeakUtil.numbersToAlpha);sre.ClearspeakRules={domain:"clearspeak",functions:[["CTXF","CTXFpauseSeparator",sre.StoreUtil.pauseSeparator],["CTXF","CTXFnodeCounter",sre.ClearspeakUtil.nodeCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CSF","CSFvulgarFraction",sre.NumbersUtil.vulgarFraction],["CQF","CQFvulgarFractionSmall",sre.ClearspeakUtil.isSmallVulgarFraction],["CQF","CQFcellsSimple",sre.ClearspeakUtil.allCellsSimple],["CSF","CSFordinalExponent",sre.ClearspeakUtil.ordinalExponent],["CSF","CSFwordOrdinal",
+sre.ClearspeakUtil.wordOrdinal],["CQF","CQFisCapital",sre.ClearspeakUtil.isCapitalLetter],["CQF","CQFmatchingFences",sre.ClearspeakUtil.matchingFences],["CSF","CSFnestingDepth",sre.ClearspeakUtil.nestingDepth],["CQF","CQFfencedArguments",sre.ClearspeakUtil.fencedArguments],["CQF","CQFsimpleArguments",sre.ClearspeakUtil.simpleArguments],["CQF","CQFisHyperbolic",sre.ClearspeakUtil.isHyperbolic],["CQF","CQFisLogarithm",sre.ClearspeakUtil.isLogarithmWithBase],["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber],
+["CQF","CQFfirstCurrency",sre.ClearspeakUtil.firstCurrency],["CQF","CQFlastCurrency",sre.ClearspeakUtil.lastCurrency]],rules:['Rule{collapsed{default{[t] "collapsed"; [n] . (engine:modality=summary,grammar:collapsed){self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),["Rule","stree","default","[n] ./*[1]","self::stree"],["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::number;contains(@grammar, "protected")'.split(";"),
+["Rule","omit-empty","default",'[p] (pause:"short")',"self::empty"],'Rule{font{default{[t] @font (grammar:localFont); [n] self::* (grammar:ignoreFont=@font,pause:"short"){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] self::* (grammar:ignoreFont=@font,pause:"short"){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] self::* (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),
+'Rule{german-font{default{[t] "German"; [n] self::* (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font="fraktur"'.split("{"),'Rule{german-font{default{[t] "bold German"; [n] self::* (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font="bold-fraktur"'.split("{"),["Rule","text","default","[n] text()","self::text"],'Rule;capital;default;[n] text() (pitch:0.6,grammar:ignoreCaps="cap");self::identifier;@role="latinletter" or @role="greekletter" or @role="simple function";CQFisCapital'.split(";"),
+'Rule;capital;Caps_SayCaps;[n] text();self::identifier;@role="latinletter" or @role="greekletter";CQFisCapital'.split(";"),'Rule{capital{Caps_SayCaps{[p] (pause:"short"); [n] text(){self::identifier{@role="latinletter" or @role="greekletter"{CQFisCapital{preceding-sibling::*[1]{not(name(preceding-sibling::*[1])="function"){not(contains(@grammar, "angle"))'.split("{"),'Rule;capital;Caps_SayCaps;[n] text() (pause:"short");self::identifier;@role="latinletter" or @role="greekletter";CQFisCapital;following-sibling::*[1]'.split(";"),
+'Rule{capital{Caps_SayCaps{[p] (pause:"short"); [n] text() (pause:"short"){self::identifier{@role="latinletter" or @role="greekletter"{CQFisCapital{preceding-sibling::*[1]{following-sibling::*[1]{not(name(preceding-sibling::*[1])="function"){not(contains(@grammar, "angle"))'.split("{"),'Rule,punctuation-lr,default,[p] (pause:"short"); [n] text() (pause:"short"),self::punctuation,@role="comma"'.split(","),'Rule;punctuation;default;[n] text();self::punctuation;@role="comma";not(preceding-sibling::*[1]/children);not(following-sibling::*[1]/children)'.split(";"),
+'Rule,punctuation-l,default,[p] (pause:"short"); [n] text(),self::punctuation,@role="comma",not(following-sibling::*[1]/children)'.split(","),'Rule;punctuation-r;default;[n] text() (pause:"short");self::punctuation;@role="comma";not(preceding-sibling::*[1]/children)'.split(";"),'Rule;ellipsis;Ellipses_AndSoOn;[t] "and so on";self::punctuation;@role="ellipsis";not(following-sibling::*[1]);not(preceding-sibling::*[last()][@role="ellipsis"])'.split(";"),'Rule;ellipsis;Ellipses_AndSoOn;[t] "and so on up to";self::punctuation;@role="ellipsis";preceding-sibling::*[1];following-sibling::*[1]'.split(";"),
+'Rule,vbar-evaluated,default,[n] children/*[1]; [p] (pause:"short"); [t] "evaluated at"; [n] content/*[1]/children/*[2]; [p] (pause:"short"),self::punctuated,@role="endpunct",content/*[1][@role="vbar"],content/*[1][@embellished],name(content/*[1])="subscript"'.split(","),'Rule,vbar-evaluated,default,[n] children/*[1]; [p] (pause:"short"); [t] "evaluated at"; [n] content/*[1]/children/*[2]; [p] (pause:"short"); [t] "minus the same expression evaluated at"; [n] content/*[1]/children/*[1]/children/*[2]; [p] (pause:"short"),self::punctuated,@role="endpunct",content/*[1][@role="vbar"],content/*[1][@embellished],name(content/*[1])="superscript",name(content/*[1]/children/*[1])="subscript"'.split(","),
+'Rule;vbar-such-that;VerticalLine_SuchThat;[t] "such that";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;vbar-such-that;VerticalLine_Divides;[t] "divides";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;vbar-such-that;VerticalLine_Given;[t] "given";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;set-member;default;[t] "in";self::operator;@role="set extended";text()="\u2208" or text()="\u220a"'.split(";"),
+["SpecializedRule","set-member","default","SetMemberSymbol_Member",'[t] "member of"'],["SpecializedRule","set-member","default","SetMemberSymbol_Element",'[t] "element of"'],["SpecializedRule","set-member","default","SetMemberSymbol_Belongs",'[t] "belonging to"'],'Rule;set-not-member;default;[t] "not in";self::operator;@role="set extended";text()="\u2209"'.split(";"),["SpecializedRule","set-not-member","default","SetMemberSymbol_Member",'[t] "not member of"'],["SpecializedRule","set-not-member","default",
+"SetMemberSymbol_Element",'[t] "not element of"'],["SpecializedRule","set-not-member","default","SetMemberSymbol_Belongs",'[t] "not belonging to"'],'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"],self::*'.split(","),'Rule,feet,default,[n] children/*[1]; [t] "feet",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2032"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,foot,default,[n] children/*[1]; [t] "foot",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2032"],children/*[1][text()="1"],not(preceding-sibling::*[@role="degree"])'.split(","),
+'Rule,inches,default,[n] children/*[1]; [t] "inches",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2033"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,inch,default,[n] children/*[1]; [t] "inch",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2033"],children/*[1][text()="1"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,minutes,default,[p] (pause:short); [n] children/*[1]; [t] "minutes",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2032"]'.split(","),
+'Rule,minute,default,[p] (pause:short); [n] children/*[1]; [t] "minute",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),'Rule,seconds,default,[p] (pause:short); [n] children/*[1]; [t] "seconds",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2033"]'.split(","),'Rule,second,default,[p] (pause:short); [n] children/*[1]; [t] "second",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),
+'Rule,degrees-angle,Prime_Angle,[n] children/*[1]; [t] "degrees"; [p] (pause:short),self::punctuation,@role="degree"'.split(","),'Rule,degree-angle,Prime_Angle,[n] children/*[1]; [t] "degree"; [p] (pause:short),self::punctuation,@role="degree",children/*[1][text()="1"]'.split(","),'Rule{minutes-angle{Prime_Angle{[n] children/*[1]; [t] "minutes"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2032"]'.split("{"),
+'Rule,minute-angle,Prime_Angle,[n] children/*[1]; [t] "minute"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),'Rule{seconds-angle{Prime_Angle{[n] children/*[1]; [t] "seconds"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2033"]'.split("{"),
+'Rule,second-angle,Prime_Angle,[n] children/*[1]; [t] "second"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),'Rule{feet-length{Prime_Length{[n] children/*[1]; [t] "feet"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2032"]'.split("{"),
+'Rule,foot-length,Prime_Length,[n] children/*[1]; [t] "foot"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),'Rule{inches-length{Prime_Length{[n] children/*[1]; [t] "inches"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2033"]'.split("{"),
+'Rule,inch-length,Prime_Length,[n] children/*[1]; [t] "inch"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),["Rule","punctuated","default","[m] children/*","self::punctuated"],["Rule","function","default","[n] text()","self::function"],'Rule{function-article{default{[t] "the"; [n] text(){self::function{@role="prefix function"{contains(@grammar, "addArticle")'.split("{"),["Rule","appl","default",'[n] children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:"short")',
+"self::appl"],'Rule,appl-simple,default,[n] children/*[1]; [t] "of"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="simple function",name(children/*[2])="appl"'.split(","),'Rule,appl-simple,default,[n] children/*[1]; [t] "of"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="simple function",name(children/*[2])="fenced",name(children/*[2]/children/*[1])="appl"'.split(","),["Rule","appl","Functions_None",'[p] (pause:"short"); [n] children/*[1]; [t] "times"; [n] children/*[2]; [p] (pause:"short")',
+"self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,@role="prefix function"'.split(","),'Rule{binary-operation{ImpliedTimes_MoreImpliedTimes{[n] . (grammar:impliedTimes); [p] (pause:"short"){self::appl{@role="prefix function"{parent::*/parent::infixop[@role="implicit"]{following-sibling::*{not(contains(@grammar, "impliedTimes"))'.split("{"),'Rule{function-prefix-simple-arg{default{[n] children/*[1]; [n] children/*[2]{self::appl{@role="prefix function"{name(children/*[2])="fenced"{contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){name(children/*[2]/children/*[1])!="number"{name(children/*[2]/children/*[1])!="identifier"{name(children/*[2]/children/*[1])!="appl"'.split("{"),
+'Rule,function-prefix-embell,default,[p] (pause:"short"); [n] children/*[1]; [n] children/*[2]; [p] (pause:"short"); ,self::appl,@role="prefix function",name(children/*[1])!="function"'.split(","),'Rule{function-prefix-fenced-or-frac-arg{default{[p] (pause:"short"); [n] children/*[1] (grammar:addArticle); [t] "of"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or name(children/*[2])="fraction" or (name(children/*[2])!="fenced" and not(contains(children/*[2]/@annotation, "clearspeak:simple"))){self::*'.split("{"),
+'Rule,function-prefix-subscript,default,[p] (pause:"short"); [n] children/*[1] (grammar:addArticle); [t] "of"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",name(children/*[1])="subscript",self::*'.split(","),'Rule{function-ln{default{[n] children/*[1]; [n] children/*[2]{self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(following-sibling::*){not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-ln{default{[n] children/*[1]; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(contains(@grammar, "NatLog"))'.split("{"),
+'Rule{function-ln{default{[n] children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{name(children/*[2])="fenced"{not(contains(@grammar, "NatLog"))'.split("{"),'Rule;function-ln;Log_LnAsNaturalLog;[n] . (grammar:NatLog);self::appl;@role="prefix function";content/*[2][text()="ln"];not(following-sibling::*);not(contains(@grammar, "NatLog"))'.split(";"),'Rule{function-ln{Log_LnAsNaturalLog{[n] . (grammar:NatLog); [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(contains(@grammar, "NatLog"))'.split("{"),
+'Rule{function-prefix-as-exp{default{[n] children/*[1]; [t] "of"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(parent::*/parent::*)="superscript"{not(following-sibling::*){(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or name(children/*[2])="fraction" or (name(children/*[2])!="fenced" and not(contains(children/*[2]/@annotation, "clearspeak:simple")))'.split("{"),'Rule,function-prefix-subscript-as-exp,default,[n] children/*[1]; [t] "of"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",name(parent::*/parent::*)="superscript",not(following-sibling::*),name(children/*[1])="subscript"'.split(","),
+'Rule,function-prefix-hyper,default,[p] (pause:"short"); [n] children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",CQFisHyperbolic'.split(","),'Rule{function-prefix-inverse{default{[p] (pause:"short"); [t] "the inverse"; [n] children/*[1]/children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule,appl-triginverse,Trig_TrigInverse,[p] (pause:"short"); [n] children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",name(children/*[1])="superscript",name(children/*[1]/children/*[2])="prefixop",children/*[1]/children/*[2][@role="negative"],children/*[1]/children/*[2]/children/*[1][text()="1"]'.split(","),'Rule{function-prefix-arc-simple{Trig_ArcTrig{[p] (pause:"short"); [t] "arc"; [n] children/*[1]/children/*[1]; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule{function-prefix-arc-simple{Trig_ArcTrig{[p] (pause:"short"); [t] "arc"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{name(children/*[2])="fenced"{children/*[2]/children/*[1][@role="prefix function"]{contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule{function-prefix-arc{Trig_ArcTrig{[p] (pause:"short"); [t] "arc"; [n] children/*[1]/children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none")){(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or (name(children/*[2])="fraction" and children/*[2][@role!="vulgar"])'.split("{"),
+'Rule{function-inverse{default{[n] children/*[1]; [t] "inverse"{self::superscript{@role="prefix function" or @role="simple function"{name(children/*[2])="prefixop"{children/*[2][@role="negative"]{children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule,superscript-prefix-function,default,[t] "the"; [n] children/*[2] (grammar:ordinal); [t] "power of"; [n] children/*[1],self::superscript,@role="prefix function",name(children/*[2])="number",children/*[2][@role="integer"]'.split(","),
+'Rule,superscript-prefix-function,default,[t] "the"; [n] children/*[2] (grammar:ordinal); [t] "power of"; [n] children/*[1],self::superscript,@role="prefix function",name(children/*[2])="identifier"'.split(","),'Rule;function-inverse;Functions_None;[n] . (grammar:functions_none);self::superscript;@role="prefix function" or @role="simple function";name(children/*[2])="prefixop";children/*[2][@role="negative"];children/*[2]/children/*[1][text()="1"];not(contains(@grammar, "functions_none"))'.split(";"),
+["Rule","superscript","default",'[n] children/*[1]; [t] "raised to the exponent" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "end exponent" (pause:"short")',"self::superscript"],'Rule,superscript-simple-exponent,default,[n] children/*[1]; [t] "raised to the"; [n] children/*[2]; [t] "power" (pause:"short"),self::superscript,not(descendant::superscript)'.split(","),'Rule,superscript-simple-exponent-end,default,[n] children/*[1]; [t] "raised to the"; [n] children/*[2]; [t] "power",self::superscript,not(descendant::superscript),not(following-sibling::*)'.split(","),
+'Aliases;superscript-simple-exponent;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="number";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),'Aliases;superscript-simple-exponent;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="fraction";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),
+["Aliases","superscript-simple-exponent","self::superscript",'children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"]','name(children/superscript/children/*[1])="identifier"'],'Aliases;superscript-simple-exponent;self::superscript;children/*[2][@role="implicit"];count(children/*[2]/children/*)=2;contains(children/*[2]/children/*[1]/@annotation, "simple");name(children/*[2]/children/*[2])="superscript";(name(children/*[2]/children/*[2]/children/*[1])="number" and contains(children/*[2]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple")) or name(children/*[2]/children/*[2]/children/*[1])="identifier";children/*[2]/children/*[2]/children/*[2][text()="2"] or children/*[2]/children/*[2]/children/*[2][text()="3"]'.split(";"),
+'Rule,superscript-ordinal,default,[n] children/*[1]; [t] "to the"; [n] children/*[2] (grammar:ordinal); [t] "power" (pause:"short"),self::superscript,name(children/*[2])="number",children/*[2][@role="integer"]'.split(","),["Aliases","superscript-ordinal","self::superscript",'name(children/*[2])="identifier"','children/*[2][@role="latinletter" or @role="greekletter" or @role="otherletter"]'],'Rule,superscript-non-ordinal,default,[n] children/*[1]; [t] "to the"; [n] children/*[2]; [t] "power" (pause:"short"),self::superscript,children/*[2][@role="negative"],name(children/*[2]/children/*[1])="number",children/*[2]/children/*[1][@role="integer"]'.split(","),
+'Rule{superscript-simple-function{default{[t] "the"; [n] children/*[2] (grammar:ordinal); [t] "power of" (pause:"short"); [n] children/*[1]{self::superscript{name(children/*[1])="identifier"{children/*[1][@role="simple function"]{children/*[2][@role!="prime"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule;superscript-simple-function;Functions_None;[n] . (grammar:functions_none);self::superscript;name(children/*[1])="identifier";children/*[1][@role="simple function"];not(contains(@grammar, "functions_none"))'.split(";"),
+'Rule,superscript-ordinal,Exponent_Ordinal,[n] children/*[1]; [t] "to the"; [n] children/*[2] (grammar:ordinal); [p] (pause:"short"),self::superscript,name(children/*[2])="number",children/*[2][@role="integer"]'.split(","),'Rule,superscript-ordinal,Exponent_Ordinal,[n] children/*[1]; [t] "to the"; [n] children/*[2]; [p] (pause:"short"),self::superscript,name(children/*[2])="prefixop",children/*[2][@role="negative"],name(children/*[2]/children/*[1])="number",children/*[2]/children/*[1][@role="integer"]'.split(","),
+'Rule,superscript-ordinal,Exponent_Ordinal,[n] children/*[1]; [t] "to the"; [n] children/*[2] (grammar:ordinal); [p] (pause:"short"),self::superscript,name(children/*[2])="identifier",children/*[2][@role="latinletter" or @role="greekletter" or @role="otherletter"]'.split(","),'Rule,superscript-ordinal-default,Exponent_Ordinal,[n] children/*[1]; [t] "raised to the exponent" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "end exponent" (pause:"short"),self::superscript,children//superscript'.split(","),
+'Rule,superscript-ordinal,Exponent_OrdinalPower,[n] children/*[1]; [t] "to the"; [n] children/*[2] (grammar:ordinal); [t] "power"; [p] (pause:"short"),self::superscript,name(children/*[2])="number",children/*[2][@role="integer"]'.split(","),'Rule,superscript-ordinal,Exponent_OrdinalPower,[n] children/*[1]; [t] "to the"; [n] children/*[2]; [t] "power"; [p] (pause:"short"),self::superscript,name(children/*[2])="prefixop",children/*[2][@role="negative"],name(children/*[2]/children/*[1])="number",children/*[2]/children/*[1][@role="integer"]'.split(","),
+'Rule,superscript-ordinal,Exponent_OrdinalPower,[n] children/*[1]; [t] "to the"; [n] children/*[2] (grammar:ordinal); [t] "power"; [p] (pause:"short"),self::superscript,name(children/*[2])="identifier",children/*[2][@role="latinletter" or @role="greekletter" or @role="otherletter"]'.split(","),'Rule,superscript-ordinal-default,Exponent_OrdinalPower,[n] children/*[1]; [t] "raised to the exponent" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "end exponent" (pause:"short"),self::superscript,children//superscript'.split(","),
+["Rule","superscript-power","Exponent_AfterPower",'[n] children/*[1]; [t] "raised to the power"; [n] children/*[2] (grammar:afterPower); [p] (pause:"short")',"self::superscript"],'Rule,superscript-power-default,Exponent_AfterPower,[n] children/*[1]; [t] "raised to the exponent" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "end exponent" (pause:"short"),self::superscript,children//superscript'.split(","),'Rule{exponent{default{[n] text() (join:"-"); [t] "th"{self::identifier{contains(@grammar, "ordinal")'.split("{"),
+'Rule;exponent;default;[t] CSFordinalExponent;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),'Rule;exponent;Exponent_Ordinal;[t] CSFwordOrdinal;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),'Rule;exponent;Exponent_Ordinal;[t] "zero";self::number;@role="integer";contains(@grammar, "ordinal");text()="0"'.split(";"),'Rule;exponent;Exponent_OrdinalPower;[t] CSFwordOrdinal;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),
+'Rule;exponent;Exponent_OrdinalPower;[t] "zero";self::number;@role="integer";contains(@grammar, "ordinal");text()="0"'.split(";"),'Rule,square,default,[n] children/*[1]; [t] "squared",self::superscript,@role!="unit",children/*[2][text()="2"],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),self::*'.split(","),'Rule,cube,default,[n] children/*[1]; [t] "cubed",self::superscript,@role!="unit",children/*[2][text()="3"],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),self::*'.split(","),
+'Rule;paren-simple;default;[n] children/*[1];self::fenced;@role="leftright";contains(children/*[1]/@annotation, "clearspeak:simple");name(../..)!="superscript" and name(../..)!="subscript"'.split(";"),'Rule;paren-simple-exp;default;[n] children/*[1];self::fenced;@role="leftright";name(../..)="superscript";children/*[1][@role="integer"] or children/*[1][@role="float"] or (children/*[1][@role="vulgar"] and contains(children/*[1]/@annotation, "clearspeak:simple")) or children/*[1][@role="latinletter"] or children/*[1][@role="greekletter"] or children/*[1][@role="otherletter"]'.split(";"),
+'Rule;paren-simple-nested-func;default;[n] children/*[1];self::fenced;@role="leftright";name(../*[1])="identifier" or name(../*[1])="function";parent::*/parent::*[@role="simple function" or @role="prefix function"];children/*[1][@role="simple function" or @role="prefix function"];contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple") or name(children/*[1]/children/*[2]/children/*[1])="subscript" or name(children/*[1]/children/*[2]/children/*[1])="superscript" or children/*[1]/children/*[2]/children/*[1][@role="vulgar"] '.split(";"),
+'Rule{paren-simple-nested-func-no-bracket{Functions_None{[n] children/*[1];{self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{children/*[1][@role="simple function" or @role="prefix function"]{name(children/*[1]/children/*[1])="identifier" or name(children/*[1]/children/*[1])="function"{contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){name(children/*[1]/children/*[2]/children/*[1])="identifier" or name(children/*[1]/children/*[2]/children/*[1])="number"'.split("{"),
+'Rule,fences-open-close,default,[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"),self::fenced,@role="leftright"'.split(","),'Rule{paren-simple-nested-func{default{[p] (pause:"short"); [n] content/*[1]; [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2]; [p] (pause:"short"){self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{not(contains(children/*[1]/@annotation, "clearspeak:simple"))'.split("{"),
+'Rule{paren-simple-nested-func{Functions_None{[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"){self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{children/*[1][@role="simple function" or @role="prefix function"]{contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple") or name(children/*[1]/children/*[2]/children/*[1])="subscript" or name(children/*[1]/children/*[2]/children/*[1])="superscript" or children/*[1]/children/*[2]/children/*[1][@role="vulgar"] '.split("{"),
+["SpecializedRule","fences-open-close","default","Paren_Speak"],["Aliases","fences-open-close","self::fenced",'@role="composed function"'],["Rule","fence-silent","Paren_Silent",'[p] (pause:"short"); [n] children/*[1]; [p] (pause:"short")',"self::fenced"],'Rule,fences-open-close,ImpliedTimes_None,[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"),self::fenced,@role="leftright",parent::*/parent::*[@role!="simple function"],parent::*/parent::*[@role!="prefix function"]'.split(","),
+'Rule;fence-nesting;Paren_SpeakNestingLevel;[n] text() (grammar:insertNesting=CSFnestingDepth);self::fence;contains(@grammar, "spokenFence");CQFmatchingFences'.split(";"),["Rule","fence-no-nesting","Paren_SpeakNestingLevel","[n] text()","self::fence"],'Rule,fences-points,Paren_CoordPoint,[t] "the point with coordinates"; [n] children/*[1],self::fenced,name(children/*[1])="punctuated",children/*[1][@role="sequence"]'.split(","),'Rule{fences-interval{Paren_Interval{[t] "the interval from"; [n] children/*[1]/children/*[1]; [t] "to"; [n] children/*[1]/children/*[3]; [p] (pause:"short"); [n] . (grammar:interval){self::fenced{not(contains(@grammar, "interval")){name(children/*[1])="punctuated"{children/*[1][@role="sequence"]{count(./children/*[1]/content/*)=1{children/*[1]/content/*[1][@role="comma"]'.split("{"),
+'Rule{interval-open{Paren_Interval{[t] "not including"; [n] children/*[1]/children/*[1]; [t] "or"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"'.split("{"),'Rule{interval-closed-open{Paren_Interval{[t] "including"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [t] "but not including"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()=")"'.split("{"),
+'Rule{interval-open-closed{Paren_Interval{[t] "not including"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [t] "but including"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()="]"'.split("{"),'Rule{interval-closed{Paren_Interval{[t] "including"; [n] children/*[1]/children/*[1]; [t] "and"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()="]"'.split("{"),
+'Rule{interval-open-inf-r{Paren_Interval{[t] "not including"; [n] children/*[1]/children/*[1]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"{children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e")'.split("{"),'Rule{interval-open-inf-l{Paren_Interval{[t] "not including"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"{children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split("{"),
+'Rule;interval-open-inf-lr;Paren_Interval;;self::fenced;contains(@grammar, "interval");content/*[1]/text()="(";content/*[2]/text()=")";children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e");children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split(";"),'Rule{interval-closed-open-inf{Paren_Interval{[t] "including"; [n] children/*[1]/children/*[1]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()=")"{children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e")'.split("{"),
+'Rule{interval-open-closed-inf{Paren_Interval{[t] "including"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()="]"{children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split("{"),'Rule,paren-nested-embellished-funcs,Functions_None,[p] (pause:"short"); [n] content/*[1]; [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2]; [p] (pause:"short"),self::fenced,@role="leftright",name(../..)="appl",name(children/*[1]) = "appl",preceding-sibling::*/descendant-or-self::*[@role="subsup"] or children/*[1]/descendant-or-self::*[@role="subsup"]'.split(","),
+'Rule;set-empty;default;[t] "the empty set";self::fenced;@role="set empty"'.split(";"),'Rule,set-extended,default,[t] "the set of all"; [n] children/*[1]/children/*[1]; [t] "such that"; [n] children/*[1]/children/*[3],self::fenced,@role="set extended"'.split(","),'Rule,set-collection,default,[t] "the set"; [n] children/*[1],self::fenced,@role="set collection"'.split(","),["Aliases","set-collection","self::fenced",'@role="set singleton"'],'Rule,set-extended,Sets_woAll,[t] "the set of"; [n] children/*[1]/children/*[1]; [t] "such that"; [n] children/*[1]/children/*[3],self::fenced,@role="set extended"'.split(","),
+'Rule;set-collection;Sets_SilentBracket;[n] children/*[1];self::fenced;@role="set collection"'.split(";"),["Rule","subscript","default",'[p] (pause:short); [n] children/*[1]; [t] "sub"; [n] children/*[2]; [p] (pause:short)',"self::subscript"],'Rule,subscript-base,default,[n] children/*[1]; [t] "base"; [n] children/*[2],self::subscript,CQFisLogarithm'.split(","),'Rule{subscript-index{default{[n] children/*[1]; [t] "sub"; [n] children/*[2]{self::subscript{contains(@grammar, "simpleDet")'.split("{"),
+["Rule","fraction","default",'[p] (pause:short); [t] "the fraction with numerator"; [n] children/*[1]; [p] (pause:short); [t] "and denominator"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],'Rule,fraction,Functions_None,[p] (pause:short); [t] "the fraction with numerator"; [n] children/*[1]; [p] (pause:short); [t] "and denominator"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="appl" or name(children/*[2])="appl"'.split(","),'Rule{simple-fraction{default{[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short){self::fraction{contains(children/*[1]/@annotation, "clearspeak:simple") or contains(children/*[1]/@annotation, "clearspeak:unit"){contains(children/*[2]/@annotation, "clearspeak:simple") or contains(children/*[2]/@annotation, "clearspeak:unit")'.split("{"),
+'Rule,simple-vulgar-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short),self::fraction,@role="vulgar"'.split(","),'Rule,simple-text-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="text",name(children/*[2])="text"'.split(","),'Rule,simple-text-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="infixop",children/*[1][@role="unit"],name(children/*[2])="text"'.split(","),
+'Rule;vulgar-fraction;default;[t] CSFvulgarFraction;self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["Rule","fraction","Fraction_Over",'[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_OverEndFrac",'[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short); [t] "end fraction"; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_FracOver",'[p] (pause:short); [t] "the fraction"; [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short)',
+"self::fraction"],["Rule","fraction","Fraction_Per",'[p] (pause:short); [n] children/*[1]; [t] "per"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_GeneralEndFrac",'[p] (pause:short); [t] "the fraction with numerator"; [n] children/*[1]; [p] (pause:short); [t] "and denominator"; [n] children/*[2]; [p] (pause:short); [t] "end fraction"; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_General",'[p] (pause:short); [t] "the fraction with numerator"; [n] children/*[1]; [p] (pause:short); [t] "and denominator"; [n] children/*[2]; [p] (pause:short)',
+"self::fraction"],'Rule;simple-vulgar-fraction;Fraction_Ordinal;[t] CSFvulgarFraction;self::fraction;@role="vulgar"'.split(";"),'Rule{fraction{Fraction_EndFrac{[p] (pause:short); [n] . (grammar:endfrac); [t] "end fraction"; [p] (pause:short){self::fraction{not(contains(@grammar, "endfrac")){not(contains(children/*[1]/@annotation, "clearspeak:unit")){not(contains(children/*[2]/@annotation, "clearspeak:unit"))'.split("{"),'Rule{vulgar-fraction{Fraction_EndFrac{[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short){self::fraction{name(children/*[1])="fraction"{name(children/*[2])="fraction"{contains(children/*[1]/@annotation, "clearspeak:simple"){contains(children/*[2]/@annotation, "clearspeak:simple")'.split("{"),
+'Rule;simple-vulgar-fraction;Fraction_EndFrac;[t] CSFvulgarFraction;self::fraction;@role="vulgar";contains(@annotation, "clearspeak:simple");self::*'.split(";"),["Rule","sqrt","default",'[t] "the square root of"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short)',"self::sqrt"],'Rule,sqrt-nested,default,[p] (pause: "short"); [t] "the square root of"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),
+'Rule,negative-sqrt,default,[t] "the negative square root of"; [n] children/*[1]/children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::prefixop,@role="negative",name(children/*[1])="sqrt"'.split(","),'Rule,negative-sqrt,default,[p] (pause: "short"); [t] "the negative square root of"; [n] children/*[1]/children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::prefixop,@role="negative",name(children/*[1])="sqrt",not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),'Rule,sqrt-plus-minus,Roots_PosNegSqRoot,[t] "the positive square root of"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),
+'Rule,sqrt-nested-plus-minus,Roots_PosNegSqRoot,[p] (pause: "short"); [t] "the positive square root of"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),'Rule,sqrt-plus-minus,Roots_PosNegSqRootEnd,[t] "the positive square root of"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),
+'Rule,sqrt-nested-plus-minus,Roots_PosNegSqRootEnd,[p] (pause: "short"); [t] "the positive square root of"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),'Rule{sqrt-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "end root"; [p] (pause:short){self::sqrt{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule{negative-sqrt-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "end root"; [p] (pause:short){self::prefixop{@role="negative"{name(children/*[1])="sqrt"{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{sqrt-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "end root"; [p] (pause:short){self::sqrt{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{negative-sqrt-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "end root"; [p] (pause:short){self::prefixop{@role="negative"{name(children/*[1])="sqrt"{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule,cube,default,[t] "the cube root of"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,children/*[1][text()="3"]'.split(","),'Rule,cube-nested,default,[p] (pause:short); [t] "the cube root of"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,children/*[1][text()="3"],not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),["Rule","root","default",'[t] "the"; [n] children/*[1] (grammar:ordinal); [t] "root of"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short)',
+"self::root"],'Rule,root-nested,default,[p] (pause:short); [t] "the"; [n] children/*[1] (grammar:ordinal); [t] "root of"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),'Rule{root-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "end root"; [p] (pause:short){self::root{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{root-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "end root"; [p] (pause:short){self::root{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule,negative,default,[t] "negative"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),'Rule,positive,default,[t] "positive"; [n] children/*[1],self::prefixop,@role="positive"'.split(","),'Rule,angle-measure,default,[t] "the measure of"; [n] content/*[1]; [n] children/*[2] (grammar:angle),self::infixop,content/*[1]/text()="\u2220",children/*[1][text()="m"]'.split(","),["Rule","prefix","default","[m] content/* (grammar:prefix); [n] children/*[1]","self::prefixop"],["Rule","postfix","default",
+"[n] children/*[1]; [m] content/* (grammar:postfix)","self::postfixop"],'Rule{set-prefix-operators{default{[t] "the"; [n] self::* (grammar:!prefix); [t] "of"{self::*{contains(@grammar,"prefix"){descendant-or-self::*/text()="\u2229" or descendant-or-self::*/text()="\u222a"{self::*{self::*{self::*'.split("{"),["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule,binary-operation,ImpliedTimes_MoreImpliedTimes,[m] children/* (sepFunc:CTXFcontentIterator);,self::infixop,@role="implicit"'.split(","),
+'Rule,binary-operation-pause,default,[p] (pause:short); [m] children/* (sepFunc:CTXFcontentIterator);,self::infixop,@role="implicit",name(children/*[1])="appl"'.split(","),'Rule,binary-operation-pause,default,[m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:short),self::infixop,@role="implicit",name(children/*[last()])="appl"'.split(","),'Rule,binary-operation-pause,default,[p] (pause:short); [m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:short),self::infixop,@role="implicit",name(children/*[1])="appl",name(children/*[last()])="appl"'.split(","),
+'Rule;implicit-times;default;[p] (pause:short);self::operator;@role="multiplication";text()="\u2062"'.split(";"),'Rule implicit-times default  self::operator @role="multiplication" text()="\u2062" CQFsimpleArguments'.split(" "),'Rule;implicit-times;default;[n] text();self::operator;@role="multiplication";text()="\u2062";CQFfencedArguments'.split(";"),'Rule;implicit-times;ImpliedTimes_MoreImpliedTimes;[n] text();self::operator;@role="multiplication";text()="\u2062"'.split(";"),'Rule implicit-times ImpliedTimes_None  self::operator @role="multiplication" text()="\u2062"'.split(" "),
+'Rule{binary-operation-simple{default{[m] children/* (rate:"0.5"); [p] (pause:short){self::infixop{@role="implicit"{contains(@annotation, "clearspeak:simple"){not(contains(@grammar, "inFrac"))'.split("{"),'Rule;simple-in-fraction;default;[n] . (rate:"0.5",grammar:inFrac);self::*;contains(@annotation, "clearspeak:simple");not(contains(@grammar, "inFrac"));name(.)!="identifier";name(.)!="function";name(.)!="number";name(parent::*/parent::*)="fraction";not(preceding-sibling::*)'.split(";"),'Rule;operators-after-power;Exponent_AfterPower;[m] children/* (rate:"0.5");self::infixop;@role="implicit";contains(@grammar, "afterPower")'.split(";"),
+["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],'Rule;natural-numbers;default;[t] "the natural numbers";self::identifier;text()="\u2115" or (text()="N" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule;integers;default;[t] "the integers";self::identifier;text()="\u2124" or (text()="Z" and @font="double-struck");self::*;self::*;self::*'.split(";"),
+'Rule;rational-numbers;default;[t] "the rational numbers";self::identifier;text()="\u211a" or (text()="Q" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule;real-numbers;default;[t] "the real numbers";self::identifier;text()="\u211d" or (text()="R" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule;complex-numbers;default;[t] "the complex numbers";self::identifier;text()="\u2102" or (text()="C" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule,natural-numbers-super,default,[t] "n" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2115" or (children/*[1]/text()="N" and @font="double-struck"),self::*,self::*,self::*'.split(","),
+'Rule,integers-super,default,[t] "z" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule,rational-numbers-super,default,[t] "q" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule,real-numbers-super,default,[t] "r" (join:"-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u211d" or (children/*[1]/text()="R" and @font="double-struck"),self::*,self::*,self::*'.split(","),
+'Rule,complex-numbers-super,default,[t] "c" (join:"-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2102" or (children/*[1]/text()="C" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule;natural-numbers-with-zero;default;[t] "the natural numbers with zero";self::subscript;children/*[1]/text()="\u2115" or (children/*[1]/text()="N" and @font="double-struck");children/*[2]/text()="0"'.split(";"),'Rule;positive-integers;default;[t] "the positive integers";self::superscript;children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck");children/*[2]/text()="+";self::*;self::*;self::*'.split(";"),
+'Rule;positive-integers;default;[t] "the negative integers";self::superscript;children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck");children/*[2]/text()="-";self::*;self::*;self::*'.split(";"),'Rule;positive-rational-numbers;default;[t] "the positive rational numbers";self::superscript;children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck");children/*[2]/text()="+";self::*;self::*;self::*'.split(";"),'Rule;negative-rational-numbers;default;[t] "the negative rational numbers";self::superscript;children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck");children/*[2]/text()="-";self::*;self::*;self::*'.split(";"),
+'Rule,fences-neutral,default,[p] (pause:short); [t] "the absolute value of"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),'Rule,fences-neutral,AbsoluteValue_AbsEnd,[p] (pause:short); [t] "the absolute value of"; [n] children/*[1]; [p] (pause: short); [t] "end absolute value"; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+'Rule,fences-neutral,AbsoluteValue_Cardinality,[p] (pause:short); [t] "the cardinality of"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),'Rule,fences-neutral,AbsoluteValue_Determinant,[p] (pause:short); [t] "the determinant of"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["Rule","matrix","default",'[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:"); [p] (pause:long)',"self::matrix"],'Rule{matrix-simple{default{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:",grammar:simpleDet); [p] (pause:long){self::matrix{count(children/*)<4{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+'Rule,matrix-trivial,default,[t] "the 1 by 1 matrix with entry"; [n] children/*[1]; [p] (pause:long),self::vector,@role="squarematrix"'.split(","),'Rule{determinant{default{[t] "the determinant of the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="determinant"{count(children/*)<4{CQFcellsSimple'.split("{"),'Rule{determinant-simple{default{[t] "the determinant of the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:"); [p] (pause:long){self::matrix{@role="determinant"'.split("{"),
+["Rule","matrix-vector","default",'[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "column matrix"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:",grammar:simpleDet); [p] (pause:long)',"self::vector"],["SpecializedRule","matrix-vector","default","Matrix_SpeakColNum"],'Rule{matrix-vector-simple{default{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "column matrix"; [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::vector{count(children/*)<4{CQFcellsSimple{@role!="squarematrix"'.split("{"),
+["Rule","matrix-vector-simple","Matrix_SilentColNum",'[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "column matrix"; [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long)',"self::vector"],'Rule{matrix-row-vector{default{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "row matrix"; [p] (pause:long); [m] children/*[1]/children/* (ctxtFunc:CTXFnodeCounter,context:"Column-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),
+["SpecializedRule","matrix-row-vector","default","Matrix_SpeakColNum"],'Rule{matrix-row-vector-simple{default{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "row matrix"; [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),'Rule{matrix-row-vector-simple{Matrix_SilentColNum{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "row matrix"; [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),
+'Rule;matrix-row-simple;default;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short");self::row;contains(@grammar, "simpleDet")'.split(";"),["Rule","matrix-row-simple","Matrix_SilentColNum",'[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short")',"self::row"],'Rule;line-simple;default;[n] children/*[1];self::line;contains(@grammar, "simpleDet")'.split(";"),["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"Column-,- ",sepFunc:CTXFpauseSeparator,separator:"medium"); [p] (pause:long)',
+"self::row"],["SpecializedRule","matrix-row","default","Matrix_SpeakColNum"],["Rule","matrix-cell","default","[n] children/*[1]","self::cell"],'Rule{matrix-end-matrix{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "end matrix"{self::matrix{not(contains(@grammar, "EndMatrix"))'.split("{"),'Rule{matrix-end-vector{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "end matrix"{self::vector{not(contains(@grammar, "EndMatrix"))'.split("{"),'Rule{matrix-end-determinant{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "end determinant"{self::matrix{@role="determinant"{not(contains(@grammar, "EndMatrix"))'.split("{"),
+["Rule","vector","Matrix_Vector",'[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "column vector"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:",grammar:simpleDet); [p] (pause:long)',"self::vector"],["SpecializedRule","vector","Matrix_Vector","Matrix_EndVector"],'Rule{vector-simple{Matrix_Vector{[t] "the"; [t] count(children/*);  [t] "by"; [t] count(children/*[1]/children/*); [t] "column vector"; [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::vector{count(children/*)<4{CQFcellsSimple'.split("{"),
+["SpecializedRule","vector-simple","Matrix_Vector","Matrix_EndVector"],'Rule{row-vector{Matrix_Vector{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "row vector"; [p] (pause:long); [m] children/*[1]/children/* (ctxtFunc:CTXFnodeCounter,context:"Column-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),["SpecializedRule","row-vector","Matrix_Vector","Matrix_EndVector"],'Rule{row-vector-simple{Matrix_Vector{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "row vector"; [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+["SpecializedRule","row-vector-simple","Matrix_Vector","Matrix_EndVector"],'Rule{vector-end-matrix{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "end matrix"{self::matrix{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule{vector-end-vector{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "end vector"{self::vector{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule{vector-end-vector{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "end vector"{self::matrix{@role="rowvector"{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),
+'Rule{vector-end-determinant{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "end determinant"{self::matrix{@role="determinant"{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule,binomial,Matrix_Combinatoric,[n] children/*[1]/children/*[1]; [t] "choose"; [n] children/*[2]/children/*[1]; ,self::vector,@role="binomial"'.split(","),'Rule{lines-summary{default{[p] (pause:short); [t] count(children/*); [t] "lines";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary")){self::*'.split("{"),
+'Rule;lines-summary;MultiLineOverview_None;[n] . (grammar:layoutSummary);self::multiline;not(contains(@grammar, "layoutSummary"));self::*'.split(";"),["Aliases","lines-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],'Rule{cases-summary{default{[p] (pause:short); [t] count(children/*); [t] "cases";  [n] . (grammar:layoutSummary){self::cases{not(contains(@grammar, "layoutSummary"))'.split("{"),'Rule;cases-summary;MultiLineOverview_None;[n] . (grammar:layoutSummary);self::cases;not(contains(@grammar, "layoutSummary"));self::*'.split(";"),
+["Rule","lines","default",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Line-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',"self::table"],["Aliases","lines","self::multiline"],["Rule","line","default","[n] children/*[1]","self::line"],'Rule;row-medium;default;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"medium");self::row;@role="table"'.split(";"),["Aliases","row-medium","self::row",'@role="cases"'],'Rule;row-long;MultiLinePausesBetweenColumns_Long;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"long");self::row;@role="table"'.split(";"),
+["Aliases","row-long","self::row",'@role="cases"'],'Rule;row-short;MultiLinePausesBetweenColumns_Short;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short");self::row;@role="table"'.split(";"),["Aliases","row-short","self::row",'@role="cases"'],'Rule;blank-cell;default;[t] "blank";self::cell;count(children/*)=0'.split(";"),'Rule;blank-empty;default;[t] "blank";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),["Rule","cases","default",'[p] (pause:short);  [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Case-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::cases"],'Rule{lines-cases-summary{MultiLineLabel_Case{[p] (pause:short); [t] count(children/*); [t] "cases";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-cases-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-cases","MultiLineLabel_Case",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Case-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',"self::table"],
+["Aliases","lines-cases","self::multiline"],'Rule{lines-equations-summary{MultiLineLabel_Equation{[p] (pause:short); [t] count(children/*); [t] "equations";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-equations-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-equations","MultiLineLabel_Equation",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Equation-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-equations","self::multiline"],'Rule{lines-steps-summary{MultiLineLabel_Step{[p] (pause:short); [t] count(children/*); [t] "steps";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-steps-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-steps","MultiLineLabel_Step",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Step-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-steps","self::multiline"],'Rule{lines-rows-summary{MultiLineLabel_Row{[p] (pause:short); [t] count(children/*); [t] "rows";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-rows-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-rows","MultiLineLabel_Row",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-rows","self::multiline"],'Rule{lines-constraints-summary{MultiLineLabel_Constraint{[p] (pause:short); [t] count(children/*); [t] "constraints";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-constraints-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-constraints","MultiLineLabel_Constraint",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Constraint-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-constraints","self::multiline"],'Rule{lines-none{MultiLineLabel_None{[p] (pause:short); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long){self::table{contains(@grammar, "layoutSummary")'.split("{"),["Aliases","lines-none","self::multiline",'contains(@grammar, "layoutSummary")'],["Aliases","lines-none","self::cases",'contains(@grammar, "layoutSummary")'],["Rule","bigop","default",'[t] "the"; [n] children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:short)',
+"self::bigop"],["Rule","limboth","default",'[n] children/*[1]; [t] "from"; [n] children/*[2];[t] "to"; [n] children/*[3];',"self::limboth"],["Rule","limlower","default",'[n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short)',"self::limlower"],["Rule","limupper","default",'[n] children/*[1]; [t] "under"; [n] children/*[2]; [p] (pause:short)',"self::limupper"],["Rule","integral","default",'[t] "the"; [n] children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:short)',"self::integral"],
+["Rule","overscript","default",'[n] children/*[1]; [t] "under"; [n] children/*[2]; [p] (pause:short)',"self::overscore"],'Rule,overscript,default,[n] children/*[1]; [n] children/*[2];,self::overscore,children/*[2][@role="overaccent"]'.split(","),'Rule,overscript-limits,default,[n] children/*[1]; [t] "to"; [n] children/*[2],self::overscore,children/*[2][@role!="overaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role!="underaccent"]'.split(","),["Rule","underscript","default",
+'[n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short)',"self::underscore"],'Rule,underscript-limits,default,[n] children/*[1]; [t] "from"; [n] children/*[2],self::underscore,@role="underover",children/*[2][@role!="underaccent"]'.split(","),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "and"; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),'Rule{number-with-chars{default{[t] "number"; [m] CQFspaceoutNumber (grammar:protected){self::number{@role="othernumber"{"" != translate(text(), "0123456789.,", ""){not(contains(@grammar, "protected"))'.split("{"),
+'Rule,decimal-period,default,[t] "the repeating decimal"; [n] children/*[1] (grammar:spaceout); [t] "point followed by repeating digits";  [n] children/*[3]/children/*[1] (grammar:spaceout),self::punctuated,@role="sequence",count(./content/*)=1,./content/*[1][@role="fullstop"],name(children/*[1])="number",children/*[1][@role="integer"],name(children/*[3])="overscore",children/*[3][@role="integer"],children/*[3]/children/*[2][@role="overaccent"],children/*[3]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,decimal-period,default,[t] "the repeating decimal"; [n] children/*[1] (grammar:spaceout); [t] "followed by repeating digits";  [n] children/*[2]/children/*[1] (grammar:spaceout);,self::infixop,@role="implicit",count(./children/*)=2,name(children/*[1])="number",children/*[1][@role="float"],name(children/*[2])="overscore",children/*[2][@role="integer"],children/*[2]/children/*[2][@role="overaccent"],children/*[2]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,decimal-period-singular,default,[t] "the repeating decimal"; [n] children/*[1] (grammar:spaceout); [t] "point followed by repeating digit";  [n] children/*[3]/children/*[1] (grammar:spaceout),self::punctuated,@role="sequence",count(./content/*)=1,./content/*[1][@role="fullstop"],name(children/*[1])="number",children/*[1][@role="integer"],name(children/*[3])="overscore",children/*[3][@role="integer"],children/*[3]/children/*[2][@role="overaccent"],children/*[3]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],string-length(./children/*[3]/children/*[1]/text())=1'.split(","),
+'Rule,decimal-period-singular,default,[t] "the repeating decimal"; [n] children/*[1] (grammar:spaceout); [t] "followed by repeating digit";  [n] children/*[2]/children/*[1] (grammar:spaceout);,self::infixop,@role="implicit",count(./children/*)=2,name(children/*[1])="number",children/*[1][@role="float"],name(children/*[2])="overscore",children/*[2][@role="integer"],children/*[2]/children/*[2][@role="overaccent"],children/*[2]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],string-length(./children/*[2]/children/*[1]/text())=1'.split(","),
+'Rule;number-with-spaces;default;[m] CQFspaceoutNumber (grammar:!spaceout:number);self::number;contains(@grammar, "spaceout")'.split(";"),'Rule;decimal-point;default;[t] "point";self::punctuation;@role="fullstop";contains(@grammar,"number")'.split(";"),'Rule,line-segment,default,[t] "the line segment"; [n] children/*[1]/children/*[1]; [n] children/*[1]/children/*[2]; [p] (pause:short),self::overscore,@role="implicit",children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],name(children/*[1])="infixop",count(./children/*[1]/children/*)=2'.split(","),
+'Rule,conjugate,Bar_Conjugate,[t] "the complex conjugate of"; [n] children/*[1],self::overscore,children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),'Rule;defined-by;default;[t] "is defined to be" (pause:short);self::overscore;@role="equality";@embellished="relation";name(children/*[2])="text";children/*[2][text()]="def"'.split(";"),'Rule,adorned-sign,default,[n] children/*[1] ; [t] "sign with"; [n] children/*[2]; [t] "over it",self::overscore,@embellished,name(children/*[1])="operator" or name(children/*[1])="relation"'.split(","),
+'Rule;factorial;default;[t] "factorial";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),["Rule","tensor-base","default","[n] children/*[2]; [n] children/*[3]; [n] children/*[1]; [n] children/*[4]; [n] children/*[5]","self::tensor"],'Rule{left-super{default{[t] "left super"; [n] text(){self::*[@role="leftsuper"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{left-super{default{[t] "left super"; [m] children/*{self::punctuated{@role="leftsuper"{not(contains(@grammar,"combinatorics"))'.split("{"),
+'Rule{left-sub{default{[t] "left sub"; [n] text(){self::*[@role="leftsub"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{left-sub{default{[t] "left sub"; [m] children/*{self::punctuated{@role="leftsub"{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-super{default{[t] "right super"; [n] text(){self::*[@role="rightsuper"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-super{default{[t] "right super"; [m] children/*{self::punctuated{@role="rightsuper"{not(contains(@grammar,"combinatorics"))'.split("{"),
+'Rule{right-sub{default{[t] "right sub"; [n] text(){self::*[@role="rightsub"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-sub{default{[t] "right sub"; [m] children/*{self::punctuated{@role="rightsub"{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule;empty-index;default;[p] (pause:medium);self::empty;@role="rightsub" or @role="rightsuper" or @role="leftsub" or @role="leftsuper"'.split(";"),'Rule,combinatorics,default,[n] children/*[2] (grammar:combinatorics); [n] children/*[1]; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="P" or text()="C"]'.split(","),
+'Rule,choose,CombinationPermutation_ChoosePermute,[n] children/*[2] (grammar:combinatorics); [t] "choose"; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="C"]'.split(","),'Rule,permute,CombinationPermutation_ChoosePermute,[n] children/*[2] (grammar:combinatorics); [t] "permute"; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="P"]'.split(","),
+'Rule;unit-singular;default;[t] text() (grammar:annotation="unit":translate);self::identifier;@role="unit"'.split(";"),'Rule;unit-plural;default;[t] text() (grammar:annotation="unit":translate:plural);self::identifier;@role="unit";not(contains(@grammar, "singularUnit"))'.split(";"),'Rule,unit-square,default,[t] "square"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=2],name(children/*[1])="identifier"'.split(","),'Rule,unit-cubic,default,[t] "cubic"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=3],name(children/*[1])="identifier"'.split(","),
+'Rule,unit-reciprocal,default,[t] "reciprocal"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]'.split(","),'Rule,unit-reciprocal,default,[t] "per"; [n] children/*[1] (grammar:singularUnit),self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],preceding-sibling::*[@role="unit"]'.split(","),
+'Rule;unit-combine;default;[m] children/*;self::infixop;@role="unit"'.split(";"),'Rule,unit-combine-singular,default,[n] children/*[1]; [n] children/*[2] (grammar:singularUnit); [m] children/*[position()>2],self::infixop,@role="unit",name(children/*[1])="number",children/*[1][text()=1]'.split(","),'Rule,unit-divide,default,[n] children/*[1]; [t] "per"; [n] children/*[2] (grammar:singularUnit),self::fraction,@role="unit"'.split(","),'Rule{currency{default{[m] children/*[position()>1]; [n] children/*[1];{self::infixop{contains(@annotation, "clearspeak:unit"){children/*[1][@role="unit"]{CQFfirstCurrency'.split("{"),
+'Rule;currency;Currency_Position;[m] children/*;self::infixop;contains(@annotation, "clearspeak:unit")'.split(";"),["SpecializedRule","currency","Currency_Position","Currency_Prefix"],'Rule{currency{Currency_Prefix{[n] children/*[last()]; [m] children/*[position()<last()]; {self::infixop{contains(@annotation, "clearspeak:unit"){children/*[last()][@role="unit"]{CQFlastCurrency'.split("{")],initialize:[sre.ClearspeakUtil.addAnnotators]};sre.Grammar.getInstance().setPreprocessor("numbers2alpha",sre.ClearspeakUtil.numbersToAlpha);sre.EmacspeakRules={domain:"emacspeak",functions:[["CTXF","CTXFnodeCounter",sre.StoreUtil.nodeCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CQF","CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction],["CSF","CSFvulgarFraction",sre.NumbersUtil.vulgarFraction]],rules:[["Rule","stree","default","[n] ./*[1]","self::stree"],["Rule","multrel","default",'[t] "multirelation"; [m] children/* (sepFunc:CTXFcontentIterator)',"self::multirel"],'Rule{variable-equality{default{[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator){self::relseq[@role="equality"]{count(./children/*)>2{./children/punctuation[@role="ellipsis"]'.split("{"),
+'Rule{multi-equality{default{[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator){self::relseq[@role="equality"]{count(./children/*)>2'.split("{"),'Rule,equality,default,[t] "equation"; [t] "left hand side"; [n] children/*[1];[p] (pause:200); [n] content/*[1] (pause:200);[t] "right hand side"; [n] children/*[2],self::relseq[@role="equality"],count(./children/*)=2'.split(","),'Rule,simple-equality,default,[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2],self::relseq[@role="equality"],count(./children/*)=2,./children/identifier or ./children/number'.split(","),
+'Rule,simple-equality2,default,[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2],self::relseq[@role="equality"],count(./children/*)=2,./children/function or ./children/appl'.split(","),["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],'Rule;implicit;default;[m] children/*;self::infixop;@role="implicit";children/*[1][@role="latinletter"] or children/*[1][@role="greekletter"] or children/*[1][@role="otherletter"] or name(children/*[1])="number";children/*[2][@role="latinletter"] or children/*[2][@role="greekletter"] or children/*[2][@role="otherletter"] or name(children/*[2])="number"'.split(";"),
+["Rule","binary-operation","default","[p] (pause:100); [m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:100);","self::infixop"],'Rule,variable-addition,default,[t] "sum with variable number of summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator),self::infixop[@role="addition"],count(children/*)>2,children/punctuation[@role="ellipsis"]'.split(","),["Rule","prefix","default",'[t] "prefix"; [n] text(); [t] "of" (pause 150);[n] children/*[1]',"self::prefixop"],'Rule,negative,default,[t] "negative"; [n] children/*[1],self::prefixop,self::prefixop[@role="negative"]'.split(","),
+["Rule","postfix","default",'[n] children/*[1]; [t] "postfix"; [n] text() (pause 300)',"self::postfixop"],["Rule","identifier","default","[n] text()","self::identifier"],["Rule","number","default","[n] text()","self::number"],'Rule{font{default{[t] @font; [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier-short{default{[t] @font; [n] CQFhideFont; [t] CSFshowFont{self::identifier{string-length(text())=1{@font{@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[t] @font; [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),'Rule,simple-fraction,default,[p] (pause:100); [n] children/*[1] (rate:0.35); [t] "over";  [n] children/*[2] (rate:0.35); [p] (pause:100),self::fraction,name(children/*[1])="number" or name(children/*[1])="identifier",name(children/*[2])="number" or name(children/*[2])="identifier"'.split(","),
+'Rule;vulgar-fraction;default;[t] CSFvulgarFraction;self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["Rule","fraction","default",'[p] (pause:250); [n] children/*[1] (rate:0.35); [p] (pause:250); [t] "divided by"; [p] (pause:250);  [n] children/*[2] (rate:0.35); [p] (pause:250)',"self::fraction"],["Rule","superscript","default",'[n] children/*[1]; [t] "super"; [n] children/*[2] (pitch:0.35);[p] (pause:300)',"self::superscript"],["Rule","subscript","default",'[n] children/*[1]; [t] "sub"; [n] children/*[2] (pitch:-0.35);[p] (pause:300)',
+"self::subscript"],'Rule,ellipsis,default,[p] (pause:200); [t] "ellipsis"; [p] (pause:300),self::punctuation,self::punctuation[@role="ellipsis"]'.split(","),'Rule;fence-single;default;[n] text();self::punctuation;self::punctuation[@role="openfence"]'.split(";"),["Alias","fence-single","self::punctuation",'self::punctuation[@role="closefence"]'],["Alias","fence-single","self::punctuation",'self::punctuation[@role="vbar"]'],["Alias","fence-single","self::punctuation",'self::punctuation[@role="application"]'],
+["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule,fences-open-close,default,[p] (pause:200); [n] children/*[1] (rate:0.35); [p] (pause:200),self::fenced,@role="leftright"'.split(","),'Rule,fences-open-close-in-appl,default,[p] (pause:200); [n] children/*[1]; [p] (pause:200);,self::fenced[@role="leftright"],./parent::children/parent::appl'.split(","),'Rule,fences-neutral,default,[p] (pause:100); [t] "absolute value of"; [n] children/*[1];[p] (pause:350);,self::fenced,self::fenced[@role="neutral"]'.split(","),
+["Rule","omit-fences","default","[p] (pause:500); [n] children/*[1]; [p] (pause:200);","self::fenced"],["Rule","matrix","default",'[t] "matrix"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::matrix"],["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)','self::row[@role="matrix"]'],["Rule","matrix-cell","default","[n] children/*[1]",'self::cell[@role="matrix"]'],["Rule","vector","default",'[t] "vector"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"element",pause:100)',
+"self::vector"],["Rule","cases","default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100)',"self::cases"],["Rule","cases-row","default","[m] children/*",'self::row[@role="cases"]'],["Rule","cases-cell","default","[n] children/*[1]",'self::cell[@role="cases"]'],["Rule","row","default",'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',"self::row"],'Rule{cases-end{default{[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100);[t] "end cases"{self::cases{following-sibling::*'.split("{"),
+["Rule","multiline","default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"line",pause:100)',"self::multiline"],["Rule","line","default","[m] children/*","self::line"],["Rule","table","default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table"],["Rule","table-row","default","[m] children/* (pause:100)",'self::row[@role="table"]'],["Alias","cases-cell",'self::cell[@role="table"]'],'Rule,end-punct,default,[m] children/*; [p] (pause:300),self::punctuated,@role="endpunct"'.split(","),
+'Rule,start-punct,default,[n] content/*[1]; [p] (pause:200); [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule,integral-punct,default,[n] children/*[1] (rate:0.2); [n] children/*[3] (rate:0.2),self::punctuated,@role="integral"'.split(","),["Rule","punctuated","default","[m] children/* (pause:100)","self::punctuated"],["Rule","function","default","[n] text()","self::function"],["Rule","appl","default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::appl"],
+'Rule,sum-only,default,[n] children/*[1]; [t] "from"; [n] children/*[2]; [t] "to";[n] children/*[3],self::limboth,@role="sum" or @role="integral"'.split(","),["Rule","limboth","default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[t] "under"; [n] children/*[3]; [p] (pause 250);',"self::limboth"],["Rule","limlower","default",'[n] children/*[1]; [t] "over"; [n] children/*[2];',"self::limlower"],["Rule","limupper","default",'[n] children/*[1]; [t] "under"; [n] children/*[2];',
+"self::limupper"],["Rule","largeop","default","[n] text()","self::largeop"],["Rule","bigop","default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[p] (pause 250);',"self::bigop"],["Rule","integral","default","[n] children/*[1]; [p] (pause 100); [n] children/*[2];[p] (pause 200); [n] children/*[3] (rate:0.35);","self::integral"],["Rule","sqrt","default",'[t] "Square root of"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::sqrt"],'Rule,square,default,[n] children/*[1]; [t] "squared" (pitch:0.35); [p] (pause:200),self::superscript,children/*[2][text()=2],name(./children/*[1])!="text"'.split(","),
+'Rule,cube,default,[n] children/*[1]; [t] "cubed" (pitch:0.35); [p] (pause:200),self::superscript,children/*[2][text()=3],name(./children/*[1])!="text"'.split(","),["Rule","root","default",'[t] "root of order"; [n] children/*[1];[t] "over"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::root"],"Rule,text-no-mult,default,[n] children/*[1]; [p] (pause:200); [n] children/*[2],self::infixop,children/text".split(","),["Rule","text","default","[n] text(); [p] (pause:200)","self::text"],'Rule;unit;default;[t] text() (annotation:unit, preprocess);self::identifier;@role="unit"'.split(";"),
+'Rule,unit-square,default,[t] "square"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=2],name(children/*[1])="identifier"'.split(","),'Rule,unit-cubic,default,[t] "cubic"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=3],name(children/*[1])="identifier"'.split(","),'Rule,reciprocal,default,[t] "reciprocal"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]'.split(","),
+'Rule,reciprocal,default,[t] "per"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],preceding-sibling::*[@role="unit"]'.split(","),'Rule;unit-combine;default;[m] children/*;self::infixop;@role="unit"'.split(";"),'Rule,unit-divide,default,[n] children/*[1] (pitch:0.3); [t] "per"; [n] children/*[2] (pitch:-0.3),self::fraction,@role="unit"'.split(",")]};sre.MathspeakFrenchUtil={};sre.MathspeakFrenchUtil.smallRoot=function(a){if(!a.childNodes||0===a.childNodes.length||!a.childNodes[0].childNodes)return[];var b=a.childNodes[0].childNodes[0].textContent;if(!/^\d+$/.test(b))return[];b=parseInt(b,10);return 1<b&&3>=b?[a]:[]};sre.MathspeakFrenchUtil.baselineVerbose=function(a){return sre.MathspeakUtil.baselineVerbose(a).replace(/\-$/,"")};sre.MathspeakFrenchUtil.baselineBrief=function(a){return sre.MathspeakUtil.baselineBrief(a).replace(/\-$/,"")};
+sre.MathspeakFrenchUtil.leftSuperscriptVerbose=function(a){return sre.MathspeakUtil.superscriptVerbose(a).replace(/^exposant/,"exposant gauche")};sre.MathspeakFrenchUtil.leftSubscriptVerbose=function(a){return sre.MathspeakUtil.subscriptVerbose(a).replace(/^indice/,"indice gauche")};sre.MathspeakFrenchUtil.leftSuperscriptBrief=function(a){return sre.MathspeakUtil.superscriptBrief(a).replace(/^sup/,"sup gauche")};
+sre.MathspeakFrenchUtil.leftSubscriptBrief=function(a){return sre.MathspeakUtil.subscriptBrief(a).replace(/^sub/,"sub gauche")};sre.MathspeakFrench={locale:"fr",domain:"mathspeak",functions:[["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber],["CQF","CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier],["CSF","CSFspaceoutText",sre.MathspeakUtil.spaceoutText],["CSF","CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose],["CSF","CSFcloseFracVerbose",sre.MathspeakUtil.closingFractionVerbose],["CSF","CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose],["CSF","CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief],
+["CSF","CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief],["CSF","CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief],["CSF","CSFcloseFracSbrief",sre.MathspeakUtil.closingFractionSbrief],["CSF","CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief],["CSF","CSFvulgarFrFraction",sre.NumbersUtil.vulgarFraction],["CQF","CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction],["CSF","CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose],["CSF","CSFcloseRadicalVerbose",
+sre.MathspeakUtil.closingRadicalVerbose],["CSF","CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose],["CSF","CSFopenRadicalBrief",sre.MathspeakUtil.openingRadicalBrief],["CSF","CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief],["CSF","CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief],["CSF","CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief],["CSF","CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief],["CQF","CQFisSmallRoot",sre.MathspeakFrenchUtil.smallRoot],
+["CSF","CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFbaselineVerbose",sre.MathspeakFrenchUtil.baselineVerbose],["CSF","CSFbaselineBrief",sre.MathspeakFrenchUtil.baselineBrief],["CSF","CSFleftsuperscriptVerbose",sre.MathspeakFrenchUtil.leftSuperscriptVerbose],["CSF","CSFleftsubscriptVerbose",
+sre.MathspeakFrenchUtil.leftSubscriptVerbose],["CSF","CSFrightsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFrightsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFleftsuperscriptBrief",sre.MathspeakFrenchUtil.leftSuperscriptBrief],["CSF","CSFleftsubscriptBrief",sre.MathspeakFrenchUtil.leftSubscriptBrief],["CSF","CSFrightsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFrightsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFunderscript",
+sre.MathspeakUtil.nestedUnderscore],["CSF","CSFoverscript",sre.MathspeakUtil.nestedOverscore],["CTXF","CTXFordinalCounter",sre.NumbersUtil.ordinalCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CQF","CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple],["CSF","CSFRemoveParens",sre.MathspeakUtil.removeParens],["CQF","CQFresetNesting",sre.MathspeakUtil.resetNestingDepth],["CQF","CQFisLogarithm",sre.ClearspeakUtil.isLogarithmWithBase]],rules:['Rule;collapsed;default;[n] . (engine:modality=summary,grammar:collapsed);self::*;@alternative;not(contains(@grammar, "collapsed"));self::*;self::*;self::*;self::*;self::*'.split(";"),
+["SpecializedRule","collapsed","default","brief"],["SpecializedRule","collapsed","brief","sbrief"],"Rule;stree;default;[n] ./*[1];self::stree;CQFresetNesting".split(";"),["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::*;@role="protected"'.split(";"),["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule;blank-empty;default;[t] "vide";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),'Rule{font{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),
+'Rule{font-identifier-short{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont);{self::identifier{string-length(text())=1{@font{not(contains(@grammar, "ignoreFont")){@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "et"; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),
+'Rule{number-with-chars{default{[t] "nombre"; [m] CQFspaceoutNumber{self::number{"" != translate(text(), "0123456789.,", ""){text() != translate(text(), "0123456789.,", "")'.split("{"),'Rule{number-as-upper-word{default{[t] "MotMajuscule"; [t] CSFspaceoutText{self::number{string-length(text())>1{text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9"){""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")'.split("{"),
+'Rule{number-baseline{default{[t] "position de base"; [n] . (grammar:baseline){self::number{not(contains(@grammar, "ignoreFont")){preceding-sibling::identifier{not(contains(@grammar, "baseline")){preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline","default","brief",'[t] "base"; [n] . (grammar:baseline)'],["SpecializedRule","number-baseline","brief","sbrief"],'Rule{number-baseline-font{default{[t] "position de base"; [n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"{preceding-sibling::identifier{preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),
+["SpecializedRule","number-baseline-font","default","brief",'[t] "base"; [n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont)'],["SpecializedRule","number-baseline-font","brief","sbrief"],'Rule;identifier;default;[m] CQFspaceoutIdentifier;self::identifier;string-length(text())>1;@role!="unit";@role!="protected";not(@font) or @font="normal" or contains(@grammar, "ignoreFont");text()!=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")'.split(";"),
+["Rule","identifier","default","[n] text()","self::identifier"],'Rule,negative,default,[t] "n\u00e9gatif"; [n] children/*[1],self::prefixop,@role="negative",children/identifier'.split(","),["Aliases","negative","self::prefixop",'@role="negative"',"children/number"],["Aliases","negative","self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]'],'Rule,negative,default,[t] "n\u00e9gatif"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),["Rule","prefix","default","[m] content/*; [n] children/*[1]",
+"self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [m] content/*","self::postfixop"],["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule;implicit;default;[m] children/*;self::infixop;@role="implicit"'.split(";"),["Aliases","implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"'],'Rule,subtraction,default,[m] children/* (separator:"moins");,self::infixop,@role="subtraction"'.split(","),
+["Rule","function-unknown","default","[n] children/*[1]; [n] children/*[2]","self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,children/*[1][@role="prefix function"]'.split(","),'Rule,fences-open-close,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="leftright"'.split(","),'Rule,fences-neutral,default,[t] "d\u00e9but valeur absolue"; [n] children/*[1]; [t] "fin valeur absolue",self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["SpecializedRule","fences-neutral","default","sbrief",'[t] "valeur absolue"; [n] children/*[1]; [t] "fin valeur absolue"'],'Rule,fences-neutral,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="neutral"'.split(","),'Rule,fences-set,default,[t] "d\u00e9but ensemble"; [n] children/*[1]; [t] "fin ensemble",self::fenced,@role="set empty" or @role="set extended" or @role="set singleton" or @role="set collection",not(name(../..)="appl")'.split(","),["SpecializedRule","fences-set",
+"default","sbrief",'[t] "ensemble"; [n] children/*[1]; [t] "fin ensemble"'],["Rule","text","default","[n] text()","self::text"],'Rule;factorial;default;[t] "factorielle";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),'Rule;minus;default;[t] "moins";self::operator;text()="-"'.split(";"),'Rule;single-prime;default;[t] "prime";self::punctuated;@role="prime";count(children/*)=1'.split(";"),'Rule;double-prime;default;[t] "double prime";self::punctuated;@role="prime";count(children/*)=2'.split(";"),
+'Rule;triple-prime;default;[t] "triple prime";self::punctuated;@role="prime";count(children/*)=3'.split(";"),'Rule;quadruple-prime;default;[t] "quadruple prime";self::punctuated;@role="prime";count(children/*)=4'.split(";"),'Rule,counted-prime,default,[t] count(children/*); [t] "prime",self::punctuated,@role="prime"'.split(","),["Rule","fraction","default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction"],["Rule","fraction",
+"brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief","self::fraction"],["Rule","fraction","sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief","self::fraction"],'Rule;vulgar-fraction;default;[t] CSFvulgarFrFraction;self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["SpecializedRule","vulgar-fraction","default","brief"],["SpecializedRule","vulgar-fraction",
+"default","sbrief"],'Rule,continued-fraction-outer,default,[t] "fraction continue"; [n] children/*[1];[t] "sur"; [n] children/*[2],self::fraction,not(ancestor::fraction),children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),["SpecializedRule","continued-fraction-outer","default","brief",'[t] "frac continue"; [n] children/*[1];[t] "sur"; [n] children/*[2]'],["SpecializedRule","continued-fraction-outer","brief","sbrief"],'Rule,continued-fraction-inner,default,[t] "d\u00e9but fraction"; [n] children/*[1];[t] "sur"; [n] children/*[2],self::fraction,ancestor::fraction,children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),
+["SpecializedRule","continued-fraction-inner","default","brief",'[t] "d\u00e9but frac"; [n] children/*[1];[t] "sur"; [n] children/*[2]'],["SpecializedRule","continued-fraction-inner","brief","sbrief",'[t] "frac"; [n] children/*[1];[t] "sur"; [n] children/*[2]'],["Rule","sqrt","default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt"],["Rule","sqrt","brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],["Rule","sqrt","sbrief",
+"[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],"Rule,root-small,default,[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose,self::root,CQFisSmallRoot".split(","),"Rule,root-small,brief,[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief,self::root,CQFisSmallRoot".split(","),"Rule,root-small,sbrief,[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief,self::root,CQFisSmallRoot".split(","),["Rule","root","default",
+"[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root"],["Rule","root","brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root"],["Rule","root","sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root"],'Rule,limboth,default,[n] children/*[1]; [t] "d\u00e9but"; [t] CSFunderscript; [n] children/*[2];[t] "d\u00e9but"; [t] CSFoverscript; [n] children/*[3],self::limboth,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),
+'Rule,limlower,default,[n] children/*[1]; [t] "d\u00e9but"; [t] CSFunderscript; [n] children/*[2];,self::limlower,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Rule,limupper,default,[n] children/*[1]; [t] "d\u00e9but"; [t] CSFoverscript; [n] children/*[2];,self::limupper,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Aliases;limlower;self::underscore;@role="limit function";name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),
+'Aliases;limlower;self::underscore;children/*[2][@role!="underaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),'Aliases;limupper;self::overscore;children/*[2][@role!="overaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),["Rule","limboth-end","default",'[n] children/*[1]; [t] "d\u00e9but"; [t] CSFunderscript; [n] children/*[2];[t] "d\u00e9but"; [t] CSFoverscript; [n] children/*[3]; [t] "fin scripts"',
+"self::limboth"],["Rule","limlower-end","default",'[n] children/*[1]; [t] "d\u00e9but"; [t] CSFunderscript; [n] children/*[2]; [t] "fin scripts"',"self::limlower"],["Rule","limupper-end","default",'[n] children/*[1]; [t] "d\u00e9but"; [t] CSFoverscript; [n] children/*[2]; [t] "fin scripts"',"self::limupper"],["Aliases","limlower-end","self::underscore",'@role="limit function"'],["Aliases","limlower-end","self::underscore"],["Aliases","limupper-end","self::overscore"],["Rule","integral","default",
+"[n] children/*[1]; [n] children/*[2]; [n] children/*[3];","self::integral"],'Rule,integral,default,[n] children/*[1]; [t] "indice inf\u00e9rieur"; [n] children/*[2];[t] "indice sup\u00e9rieur"; [n] children/*[3]; [t] "position de base";,self::limboth,@role="integral"'.split(","),["SpecializedRule","integral","default","brief",'[n] children/*[1]; [t] "inf"; [n] children/*[2];[t] "sup"; [n] children/*[3]; [t] "position de base";'],["SpecializedRule","integral","brief","sbrief"],["Rule","bigop","default",
+"[n] children/*[1]; [n] children/*[2];","self::bigop"],["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],'Rule,equality,default,[n] children/*[1]; [n] content/*[1]; [n] children/*[2],self::relseq,@role="equality",count(./children/*)=2'.split(","),'Rule;multi-equality;default;[m] children/* (sepFunc:CTXFcontentIterator);self::relseq;@role="equality";count(./children/*)>2'.split(";"),["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],
+["Rule","subscript","default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript"],["Rule","subscript","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript"],["SpecializedRule","subscript","brief","sbrief"],'Rule,subscript-base,default,[n] children/*[1]; [t] "base"; [n] children/*[2],self::subscript,CQFisLogarithm,self::*,self::*,self::*'.split(","),["SpecializedRule","subscript-base","default","brief"],["SpecializedRule","subscript-base",
+"default","sbrief"],'Rule,subscript-simple,brief,[n] children/*[1]; [n] children/*[2],self::subscript,name(./children/*[1])="identifier",name(./children/*[2])="number",./children/*[2][@role!="mixed"],./children/*[2][@role!="othernumber"]'.split(","),["SpecializedRule","subscript-simple","brief","sbrief"],'Rule,subscript-baseline,default,[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose,self::subscript,following-sibling::*,not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup",not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","subscript-baseline","default","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBrief"],["SpecializedRule","subscript-baseline","brief","sbrief"],'Aliases;subscript-baseline;self::subscript;not(following-sibling::*);ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction;not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","subscript-baseline",
+"self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint()],["Aliases","subscript-baseline","self::subscript","not(following-sibling::*)","@embellished"],'Rule,subscript-empty-sup,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="superscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),["SpecializedRule","subscript-empty-sup",
+"default","brief"],["SpecializedRule","subscript-empty-sup","brief","sbrief"],["Aliases","subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"'],["Rule","superscript","default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript"],["SpecializedRule","superscript","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]"],["SpecializedRule","superscript","brief","sbrief"],'Rule,superscript-baseline,default,[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose,self::superscript,following-sibling::*,not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","superscript-baseline","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBrief"],["SpecializedRule","superscript-baseline","brief","sbrief"],'Aliases;superscript-baseline;self::superscript;not(following-sibling::*);ancestor::punctuated;ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","superscript-baseline","self::superscript",
+"not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt"],["Aliases","superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint()],'Aliases superscript-baseline self::superscript not(following-sibling::*) @embellished not(children/*[2][@role="prime"])'.split(" "),'Rule,superscript-empty-sub,default,[n] children/*[1]; [n] children/*[2],self::superscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="subscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),
+["SpecializedRule","superscript-empty-sub","default","brief"],["SpecializedRule","superscript-empty-sub","brief","sbrief"],["Aliases","superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"'],'Rule,square,default,[n] children/*[1]; [t] "au carr\u00e9",self::superscript,children/*[2],children/*[2][text()=2],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","square","default","brief"],["SpecializedRule","square","default","sbrief"],'Aliases;square;self::superscript;children/*[2];children/*[2][text()=2];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,cube,default,[n] children/*[1]; [t] "cubique",self::superscript,children/*[2],children/*[2][text()=3],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","cube","default","brief"],["SpecializedRule","cube","default","sbrief"],'Aliases;cube;self::superscript;children/*[2];children/*[2][text()=3];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"]'.split(","),["SpecializedRule","prime","default","brief"],["SpecializedRule","prime","default","sbrief"],'Rule,prime-subscript,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",not(following-sibling::*)'.split(","),
+["SpecializedRule","prime-subscript","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]"],["SpecializedRule","prime-subscript","brief","sbrief"],'Rule,prime-subscript-baseline,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose,self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",following-sibling::*'.split(","),
+["SpecializedRule","prime-subscript-baseline","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBrief"],["SpecializedRule","prime-subscript-baseline","brief","sbrief"],'Aliases prime-subscript-baseline self::superscript children/*[2][@role="prime"] name(children/*[1])="subscript" not(following-sibling::*) @embellished'.split(" "),'Rule,prime-subscript-simple,brief,[n] children/*[1]/children/*[1]; [n] children/*[2];[n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",name(children/*[1]/children/*[1])="identifier",name(children/*[1]/children/*[2])="number",children/*[1]/children/*[2][@role!="mixed"],children/*[1]/children/*[2][@role!="othernumber"]'.split(","),
+["SpecializedRule","prime-subscript-simple","brief","sbrief"],'Rule,overscore,default,[t] "suscrire"; [n] children/*[1]; [t] "avec"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"]'.split(","),'Rule,double-overscore,default,[t] "sus-suscrire"; [n] children/*[1]; [t] "avec"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"],name(children/*[1])="overscore",children/*[1]/children/*[2][@role="overaccent"]'.split(","),'Rule,underscore,default,[t] "souscrire"; [n] children/*[1]; [t] "avec"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"]'.split(","),
+'Rule,double-underscore,default,[t] "sous-souscrire"; [n] children/*[1]; [t] "avec"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role="underaccent"]'.split(","),'Rule,matrix-fence,default,[n] children/*[1];,self::fenced,count(children/*)=1,name(children/*[1])="matrix"'.split(","),["Rule","matrix","default",'[t] "d\u00e9but matrice"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin matrice"',
+"self::matrix"],["Rule","matrix","sbrief",'[t] "matrice"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin matrice"',"self::matrix"],["Aliases","matrix","self::vector"],["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"colonne");[p] (pause: 200)',"self::row"],'Rule{row-with-label{default{[t] "avec \u00e9tiquette"; [n] content/*[1]; [t] "fin \u00e9tiquette"(pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"colonne"){self::row{content'.split("{"),
+'Rule{row-with-label{brief{[t] "\u00e9tiquette"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"colonne"){self::row{content'.split("{"),["SpecializedRule","row-with-label","brief","sbrief"],'Rule{row-with-text-label{sbrief{[t] "\u00e9tiquette"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounter,context:"colonne"){self::row{content{name(content/cell/children/*[1])="text"'.split("{"),'Rule;empty-row;default;[t] "vide";self::row;count(children/*)=0'.split(";"),["Rule",
+"matrix-cell","default","[n] children/*[1]; [p] (pause: 300)","self::cell"],'Rule,empty-cell,default,[t] "vide"; [p] (pause: 300),self::cell,count(children/*)=0'.split(","),'Rule{determinant{default{[t] "d\u00e9but d\u00e9terminant"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [t] ""; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin d\u00e9terminant"{self::matrix{@role="determinant"'.split("{"),["SpecializedRule","determinant","default","sbrief",
+'[t] "d\u00e9terminant"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin d\u00e9terminant"'],'Rule{determinant-simple{default{[t] "d\u00e9but d\u00e9terminant"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e",grammar:simpleDet); [t] "fin d\u00e9terminant"{self::matrix{@role="determinant"{CQFdetIsSimple'.split("{"),
+["SpecializedRule","determinant-simple","default","sbrief",'[t] "d\u00e9terminant"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e",grammar:simpleDet); [t] "fin d\u00e9terminant"'],'Rule{row-simple{default{[m] children/*;{self::row{@role="determinant"{contains(@grammar, "simpleDet")'.split("{"),["Rule","layout","default",'[t] "d\u00e9but tableau"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin tableau"',
+"self::table"],["Rule","layout","sbrief",'[t] "tableau"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin tableau"',"self::table"],'Rule,binomial,default,[t] "d\u00e9but binomiale"; [n] children/*[2]/children/*[1]; [t] "parmi"; [n] children/*[1]/children/*[1];  [t] "fin binomiale",self::vector,@role="binomial"'.split(","),'Rule,binomial,sbrief,[t] "binomiale"; [n] children/*[1]/children/*[1]; [t] "parmi"; [n] children/*[2]/children/*[1];  [t] "fin binomiale",self::vector,@role="binomial"'.split(","),
+["Rule","cases","default",'[t] "d\u00e9but tableau"; [n] content/*[1]; [t] "\u00e9largie";[m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin tableau"',"self::cases"],["Rule","cases","sbrief",'[t] "tableau"; [n] content/*[1]; [t] "\u00e9largie"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin tableau"',"self::cases"],["Aliases","layout","self::multiline"],["Rule","line","default","[m] children/*","self::line"],'Rule,line-with-label,default,[t] "avec etiquette"; [n] content/*[1]; [t] "fin etiquette" (pause: 200); [m] children/*,self::line,content'.split(","),
+["SpecializedRule","line-with-label","default","brief",'[t] "etiquette"; [n] content/*[1] (pause: 200); [m] children/*'],["SpecializedRule","line-with-label","brief","sbrief"],'Rule,line-with-text-label,sbrief,[t] "etiquette"; [t] CSFRemoveParens; [m] children/*,self::line,content,name(content/cell/children/*[1])="text"'.split(","),'Rule;empty-line;default;[t] "vide";self::line;count(children/*)=0;not(content)'.split(";"),["SpecializedRule","empty-line","default","brief"],["SpecializedRule","empty-line",
+"brief","sbrief"],'Rule,empty-line-with-label,default,[t] "avec etiquette"; [n] content/*[1]; [t] "fin etiquette" (pause: 200); [t] "vide",self::line,count(children/*)=0,content'.split(","),["SpecializedRule","empty-line-with-label","default","brief",'[t] "etiquette"; [n] content/*[1] (pause: 200); [t] "vide"'],["SpecializedRule","empty-line-with-label","brief","sbrief"],["Rule","enclose","default",'[t] "d\u00e9but enfermer en"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "fin enfermer"',
+"self::enclose"],'Rule,overbar,default,[t] "d\u00e9but trait suscrit"; [n] children/*[1]; [t] "fin trait suscrit",self::enclose,@role="top"'.split(","),'Rule,underbar,default,[t] "d\u00e9but trait souscrit"; [n] children/*[1]; [t] "fin trait souscrit",self::enclose,@role="bottom"'.split(","),'Rule,leftbar,default,[t] "barre verticale"; [n] children/*[1],self::enclose,@role="left"'.split(","),'Rule,rightbar,default,[n] children/*[1]; [t] "barre verticale",self::enclose,@role="right"'.split(","),'Rule,crossout,default,[t] "d\u00e9but biff\u00e9"; [n] children/*[1]; [t] "fin biff\u00e9",self::enclose,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),
+'Rule,cancel,default,[t] "d\u00e9but biff\u00e9"; [n] children/*[1]/children/*[1]; [t] "avec"; [n] children/*[2]; [t] "fin biff\u00e9",self::overscore,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),["SpecializedRule","cancel","default","brief"],["SpecializedRule","cancel","default","sbrief"],["Aliases","cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'],'Rule,cancel-reverse,default,[t] "d\u00e9but biff\u00e9"; [n] children/*[2]/children/*[1]; [t] "avec"; [n] children/*[1]; [t] "fin biff\u00e9",self::overscore,name(children/*[2])="enclose",children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'.split(","),
+["SpecializedRule","cancel-reverse","default","brief"],["SpecializedRule","cancel-reverse","default","sbrief"],["Aliases","cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'],'Rule;end-punct;default;[m] children/*;self::punctuated;@role="endpunct"'.split(";"),'Rule,start-punct,default,[n] content/*[1]; [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule,integral-punct,default,[n] children/*[1]; [n] children/*[3],self::punctuated,@role="integral"'.split(","),
+["Rule","punctuated","default","[m] children/*","self::punctuated"],'Rule;unit;default;[t] text() (grammar:annotation="unit":translate);self::identifier;@role="unit"'.split(";"),'Rule,unit-square,default,[n] children/*[1]; [t] "carr\u00e9",self::superscript,@role="unit",children/*[2][text()=2],name(children/*[1])="identifier"'.split(","),'Rule,unit-cubic,default,[n] children/*[1]; [t] "cubique",self::superscript,@role="unit",children/*[2][text()=3],name(children/*[1])="identifier"'.split(","),'Rule,reciprocal,default,[t] "r\u00e9ciproque"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]'.split(","),
+'Rule,reciprocal,default,[t] "par"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],preceding-sibling::*[@role="unit"]'.split(","),'Rule;unit-combine;default;[m] children/*;self::infixop;@role="unit"'.split(";"),'Rule,unit-divide,default,[n] children/*[1]; [t] "par"; [n] children/*[2],self::fraction,@role="unit"'.split(",")],initialize:[sre.MathspeakUtil.generateTensorRules]};sre.MathspeakGerman={locale:"de",domain:"mathspeak",functions:[["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber],["CQF","CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier],["CSF","CSFspaceoutText",sre.MathspeakUtil.spaceoutText],["CSF","CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose],["CSF","CSFcloseFracVerbose",sre.MathspeakUtil.closingFractionVerbose],["CSF","CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose],["CSF","CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief],
+["CSF","CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief],["CSF","CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief],["CSF","CSFcloseFracSbrief",sre.MathspeakUtil.closingFractionSbrief],["CSF","CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief],["CSF","CSFvulgarFraction",sre.NumbersUtil.vulgarFraction],["CQF","CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction],["CSF","CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose],["CSF","CSFcloseRadicalVerbose",
+sre.MathspeakUtil.closingRadicalVerbose],["CSF","CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose],["CSF","CSFopenRadicalBrief",sre.MathspeakUtil.openingRadicalBrief],["CSF","CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief],["CSF","CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief],["CSF","CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief],["CSF","CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief],["CSF","CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],
+["CSF","CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFbaselineVerbose",sre.MathspeakUtil.baselineVerbose],["CSF","CSFbaselineBrief",sre.MathspeakUtil.baselineBrief],["CSF","CSFleftsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFleftsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFrightsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],
+["CSF","CSFrightsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFleftsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFleftsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFrightsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFrightsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFunderscript",sre.MathspeakUtil.nestedUnderscore],["CSF","CSFoverscript",sre.MathspeakUtil.nestedOverscore],["CTXF","CTXFordinalCounter",sre.NumbersUtil.ordinalCounter],
+["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CQF","CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple],["CSF","CSFRemoveParens",sre.MathspeakUtil.removeParens],["CQF","CQFresetNesting",sre.MathspeakUtil.resetNestingDepth]],rules:['Rule{collapsed{default{[n] . (engine:modality=summary,grammar:collapsed); [t] "kollabiert"{self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),["SpecializedRule","collapsed","default","brief"],
+["SpecializedRule","collapsed","brief","sbrief"],"Rule;stree;default;[n] ./*[1];self::stree;CQFresetNesting".split(";"),["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::number;contains(@grammar, "protected")'.split(";"),["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule;blank-empty;default;[t] "leer";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),'Rule{font{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::*{name(self::*)!="number"{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),
+'Rule{font-number{default{[t] @font (grammar:localFontNumber); [n] . (grammar:ignoreFont=@font){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier-short{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{not(contains(@grammar, "ignoreFont")){@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1 or string-length(text())=2{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1 or string-length(text())=2;@font;not(contains(@grammar, "ignoreFont"));@font="italic";self::*'.split(";"),'Rule{font-double-struck{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont){self::*{name(self::*)!="number"{string-length(text())=1 or string-length(text())=2{@font{not(contains(@grammar, "ignoreFont")){@font="double-struck"'.split("{"),
+'Rule{font-number-double-struck{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFontNumber){self::number{string-length(text())=1 or string-length(text())=2{@font{not(contains(@grammar, "ignoreFont")){@font="double-struck"'.split("{"),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),'Rule{number-with-chars{default{[t] "Zahl"; [m] CQFspaceoutNumber (grammar:protected){self::number{@role="othernumber"{"" != translate(text(), "0123456789.,", ""){not(contains(@grammar, "protected"))'.split("{"),
+'Rule{number-as-upper-word{default{[t] "Wort gro\u00df"; [t] CSFspaceoutText{self::number{string-length(text())>1{text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9"){""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")'.split("{"),
+["SpecializedRule","number-as-upper-word","default","brief"],["SpecializedRule","number-as-upper-word","default","sbrief"],'Rule{number-baseline{default{[t] "Grundlinie"; [n] . (grammar:baseline){self::number{not(contains(@grammar, "ignoreFont")){preceding-sibling::identifier{not(contains(@grammar, "baseline")){preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline","default",
+"brief",'[t] "Grund"; [n] . (grammar:baseline)'],["SpecializedRule","number-baseline","brief","sbrief"],'Rule{number-baseline-font{default{[t] "Grundlinie"; [t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"{preceding-sibling::identifier{preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline-font",
+"default","brief",'[t] "Grund"; [t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)'],["SpecializedRule","number-baseline-font","brief","sbrief"],'Rule;identifier;default;[m] CQFspaceoutIdentifier;self::identifier;string-length(text())>1;@role!="unit";not(@font) or @font="normal" or contains(@grammar, "ignoreFont");text()!=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")'.split(";"),
+["Rule","identifier","default","[n] text()","self::identifier"],'Rule,negative,default,[t] "minus"; [n] children/*[1],self::prefixop,@role="negative",children/identifier'.split(","),["Aliases","negative","self::prefixop",'@role="negative"',"children/number"],["Aliases","negative","self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]'],'Rule,negative,default,[t] "minus"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),["Rule","prefix","default","[m] content/*; [n] children/*[1]",
+"self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [m] content/*","self::postfixop"],["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule;implicit;default;[m] children/*;self::infixop;@role="implicit"'.split(";"),["Aliases","implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"'],'Rule,subtraction,default,[m] children/* (separator:"minus");,self::infixop,@role="subtraction"'.split(","),
+["Rule","function-unknown","default","[n] children/*[1]; [n] children/*[2]","self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,children/*[1][@role="prefix function"]'.split(","),'Rule,fences-open-close,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="leftright"'.split(","),'Rule,fences-neutral,default,[t] "Anfang Betrag"; [n] children/*[1]; [t] "Ende Betrag",self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["SpecializedRule","fences-neutral","default","sbrief",'[t] "Betrag"; [n] children/*[1]; [t] "Ende Betrag"'],'Rule,fences-neutral,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="neutral"'.split(","),'Rule,fences-set,default,[t] "Anfang Menge"; [n] children/*[1]; [t] "Ende Menge",self::fenced,@role="set empty" or @role="set extended" or @role="set singleton" or @role="set collection",not(name(../..)="appl")'.split(","),["SpecializedRule","fences-set","default","sbrief",
+'[t] "Menge"; [n] children/*[1]; [t] "Ende Menge"'],["Rule","text","default","[n] text()","self::text"],'Rule;factorial;default;[t] "Fakult\u00e4t";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),'Rule;minus;default;[t] "minus";self::operator;text()="-"'.split(";"),'Rule;single-prime;default;[t] "Strich";self::punctuated;@role="prime";count(children/*)=1'.split(";"),'Rule;double-prime;default;[t] "zwei Strich";self::punctuated;@role="prime";count(children/*)=2'.split(";"),
+'Rule;triple-prime;default;[t] "drei Strich";self::punctuated;@role="prime";count(children/*)=3'.split(";"),'Rule;quadruple-prime;default;[t] "vier Strich";self::punctuated;@role="prime";count(children/*)=4'.split(";"),'Rule,counted-prime,default,[t] count(children/*); [t] "Strich",self::punctuated,@role="prime"'.split(","),["Rule","fraction","default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction"],["Rule","fraction",
+"brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief","self::fraction"],["Rule","fraction","sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief","self::fraction"],'Rule;vulgar-fraction;default;[t] CSFvulgarFraction (grammar:correctOne);self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["SpecializedRule","vulgar-fraction","default","brief"],["SpecializedRule",
+"vulgar-fraction","default","sbrief"],'Rule,continued-fraction-outer,default,[t] "Kettenbruch"; [n] children/*[1];[t] "durch"; [n] children/*[2],self::fraction,not(ancestor::fraction),children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),'Rule,continued-fraction-inner,default,[t] "Anfang Bruch"; [n] children/*[1];[t] "durch"; [n] children/*[2],self::fraction,ancestor::fraction,children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),
+["SpecializedRule","continued-fraction-inner","default","sbrief",'[t] "Bruch"; [n] children/*[1];[t] "durch"; [n] children/*[2]'],["Rule","sqrt","default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt"],["Rule","sqrt","brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],["Rule","sqrt","sbrief","[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],"Rule,root-small,default,[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose,self::root,children/*[1][text()=3 or text()=2]".split(","),
+"Rule,root-small,brief,[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief,self::root,children/*[1][text()=3 or text()=2]".split(","),"Rule,root-small,sbrief,[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief,self::root,children/*[1][text()=3 or text()=2]".split(","),["Rule","root","default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root"],["Rule","root","brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief",
+"self::root"],["Rule","root","sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root"],'Rule,limboth,default,[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3],self::limboth,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Rule,limlower,default,[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];,self::limlower,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),
+'Rule,limupper,default,[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];,self::limupper,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Aliases;limlower;self::underscore;@role="limit function";name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),'Aliases;limlower;self::underscore;children/*[2][@role!="underaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),
+'Aliases;limupper;self::overscore;children/*[2][@role!="overaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),["Rule","limboth-end","default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "Ende \u00dcberschrift"',"self::limboth"],["Rule","limlower-end","default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "Ende Unterschrift"',"self::limlower"],
+["Rule","limupper-end","default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "Ende \u00dcberschrift"',"self::limupper"],["Aliases","limlower-end","self::underscore",'@role="limit function"'],["Aliases","limlower-end","self::underscore"],["Aliases","limupper-end","self::overscore"],["Rule","integral","default","[n] children/*[1]; [n] children/*[2]; [n] children/*[3];","self::integral"],'Rule,integral,default,[n] children/*[1]; [t] "Index"; [n] children/*[2];[t] "Hoch"; [n] children/*[3]; [t] "Grundlinie";,self::limboth,@role="integral"'.split(","),
+["SpecializedRule","integral","default","brief",'[n] children/*[1]; [t] "Index"; [n] children/*[2];[t] "Hoch"; [n] children/*[3]; [t] "Base";'],["SpecializedRule","integral","brief","sbrief"],["Rule","bigop","default","[n] children/*[1]; [n] children/*[2];","self::bigop"],["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],'Rule,equality,default,[n] children/*[1]; [n] content/*[1]; [n] children/*[2],self::relseq,@role="equality",count(./children/*)=2'.split(","),
+'Rule;multi-equality;default;[m] children/* (sepFunc:CTXFcontentIterator);self::relseq;@role="equality";count(./children/*)>2'.split(";"),["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],["Rule","subscript","default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript"],["Rule","subscript","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript"],["SpecializedRule","subscript","brief","sbrief"],
+'Rule,subscript-simple,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(./children/*[1])="identifier",name(./children/*[2])="number",./children/*[2][@role!="mixed"],./children/*[2][@role!="othernumber"]'.split(","),["SpecializedRule","subscript-simple","default","brief"],["SpecializedRule","subscript-simple","default","sbrief"],'Rule,subscript-baseline,default,[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose,self::subscript,following-sibling::*,not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup",not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","subscript-baseline","default","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBrief"],["SpecializedRule","subscript-baseline","brief","sbrief"],'Aliases;subscript-baseline;self::subscript;not(following-sibling::*);ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction;not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","subscript-baseline",
+"self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint()],["Aliases","subscript-baseline","self::subscript","not(following-sibling::*)","@embellished"],'Rule,subscript-empty-sup,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="superscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),["SpecializedRule","subscript-empty-sup",
+"default","brief"],["SpecializedRule","subscript-empty-sup","brief","sbrief"],["Aliases","subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"'],["Rule","superscript","default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript"],["SpecializedRule","superscript","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]"],["SpecializedRule","superscript","brief","sbrief"],'Rule,superscript-baseline,default,[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose,self::superscript,following-sibling::*,not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","superscript-baseline","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBrief"],["SpecializedRule","superscript-baseline","brief","sbrief"],'Aliases;superscript-baseline;self::superscript;not(following-sibling::*);ancestor::punctuated;ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","superscript-baseline","self::superscript",
+"not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt"],["Aliases","superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint()],'Aliases superscript-baseline self::superscript not(following-sibling::*) @embellished not(children/*[2][@role="prime"])'.split(" "),'Rule,superscript-empty-sub,default,[n] children/*[1]; [n] children/*[2],self::superscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="subscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),
+["SpecializedRule","superscript-empty-sub","default","brief"],["SpecializedRule","superscript-empty-sub","brief","sbrief"],["Aliases","superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"'],'Rule,square,default,[n] children/*[1]; [t] "Quadrat",self::superscript,children/*[2],children/*[2][text()=2],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","square","default","brief"],["SpecializedRule","square","default","sbrief"],'Aliases;square;self::superscript;children/*[2];children/*[2][text()=2];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,cube,default,[n] children/*[1]; [t] "Kubik",self::superscript,children/*[2],children/*[2][text()=3],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","cube","default","brief"],["SpecializedRule","cube","default","sbrief"],'Aliases;cube;self::superscript;children/*[2];children/*[2][text()=3];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"]'.split(","),["SpecializedRule","prime","default","brief"],["SpecializedRule","prime","default","sbrief"],'Rule,prime-subscript,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",not(following-sibling::*)'.split(","),
+["SpecializedRule","prime-subscript","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]"],["SpecializedRule","prime-subscript","brief","sbrief"],'Rule,prime-subscript-baseline,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose,self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",following-sibling::*'.split(","),
+["SpecializedRule","prime-subscript-baseline","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBrief"],["SpecializedRule","prime-subscript-baseline","brief","sbrief"],'Aliases prime-subscript-baseline self::superscript children/*[2][@role="prime"] name(children/*[1])="subscript" not(following-sibling::*) @embellished'.split(" "),'Rule,prime-subscript-simple,default,[n] children/*[1]/children/*[1]; [n] children/*[2];[n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",name(children/*[1]/children/*[1])="identifier",name(children/*[1]/children/*[2])="number",children/*[1]/children/*[2][@role!="mixed"],children/*[1]/children/*[2][@role!="othernumber"]'.split(","),
+["SpecializedRule","prime-subscript-simple","default","brief"],["SpecializedRule","prime-subscript-simple","default","sbrief"],'Rule,overscore,default,[t] "modifiziert oben"; [n] children/*[1]; [t] "mit"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"]'.split(","),["SpecializedRule","overscore","default","brief",'[t] "mod oben"; [n] children/*[1]; [t] "mit"; [n] children/*[2]'],["SpecializedRule","overscore","brief","sbrief"],'Rule,double-overscore,default,[t] "modifiziert oben oben"; [n] children/*[1]; [t] "mit"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"],name(children/*[1])="overscore",children/*[1]/children/*[2][@role="overaccent"]'.split(","),
+["SpecializedRule","double-overscore","default","brief",'[t] "mod oben oben"; [n] children/*[1]; [t] "mit"; [n] children/*[2]'],["SpecializedRule","double-overscore","brief","sbrief"],'Rule,underscore,default,[t] "modifiziert unten"; [n] children/*[1]; [t] "mit"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"]'.split(","),["SpecializedRule","underscore","default","brief",'[t] "mod unten"; [n] children/*[1]; [t] "mit"; [n] children/*[2]'],["SpecializedRule","underscore","brief",
+"sbrief"],'Rule,double-underscore,default,[t] "modifiziert unten unten"; [n] children/*[1]; [t] "mit"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role="underaccent"]'.split(","),["SpecializedRule","double-underscore","default","brief",'[t] "mod unten unten"; [n] children/*[1]; [t] "mit"; [n] children/*[2]'],["SpecializedRule","double-underscore","brief","sbrief"],'Rule,overbar,default,[n] children/*[1]; [t] "\u00dcberstrich",self::overscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,underbar,default,[n] children/*[1]; [t] "Unterstrich",self::underscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="underaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),'Rule,overtilde,default,[n] children/*[1]; [t] "Tilde oben",self::overscore,children/*[2][@role="overaccent"],@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]'.split(","),
+'Rule,undertilde,default,[n] children/*[1]; [t] "Tilde unten",self::underscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="underaccent"],children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]'.split(","),'Rule,matrix-fence,default,[n] children/*[1];,self::fenced,count(children/*)=1,name(children/*[1])="matrix"'.split(","),["Rule","matrix","default",'[t] "Anfang"; [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Matrize"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Matrize"',
+"self::matrix"],["Rule","matrix","sbrief",'[t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Matrize"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Matrize"',"self::matrix"],["Aliases","matrix","self::vector"],["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Spalte");[p] (pause: 200)',"self::row"],'Rule{row-with-label{default{[t] "mit Bezeichner"; [n] content/*[1]; [t] "Ende Bezeichner"(pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Spalte"){self::row{content'.split("{"),
+'Rule{row-with-label{brief{[t] "Bezeichner"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Spalte"){self::row{content'.split("{"),["SpecializedRule","row-with-label","brief","sbrief"],'Rule{row-with-text-label{sbrief{[t] "Bezeichner"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Spalte"){self::row{content{name(content/cell/children/*[1])="text"'.split("{"),'Rule;empty-row;default;[t] "Blank";self::row;count(children/*)=0'.split(";"),["Rule","matrix-cell",
+"default","[n] children/*[1]; [p] (pause: 300)","self::cell"],'Rule,empty-cell,default,[t] "leer"; [p] (pause: 300),self::cell,count(children/*)=0'.split(","),'Rule{determinant{default{[t] "Anfang"; [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Determinante"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Determinante"{self::matrix{@role="determinant"'.split("{"),["SpecializedRule","determinant","default","sbrief",'[t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Determinante"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Determinante"'],
+'Rule{determinant-simple{default{[t] "Anfang"; [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Determinante"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile",grammar:simpleDet); [t] "Ende Determinante"{self::matrix{@role="determinant"{CQFdetIsSimple'.split("{"),["SpecializedRule","determinant-simple","default","sbrief",'[t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Determinante"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile",grammar:simpleDet); [t] "Ende Determinante"'],
+'Rule{row-simple{default{[m] children/*;{self::row{@role="determinant"{contains(@grammar, "simpleDet")'.split("{"),["Rule","layout","default",'[t] "Anfang Anordnung"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Anordnung"',"self::table"],["Rule","layout","sbrief",'[t] "Anordnung"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Anordnung"',"self::table"],'Rule,binomial,default,[t] "Anfang Binomialkoeffizient"; [n] children/*[2]/children/*[1]; [t] "aus";  [n] children/*[1]/children/*[1]; [t] "Ende Binomialkoeffizient",self::vector,@role="binomial"'.split(","),
+'Rule,binomial,brief,[t] "Anfang Binomial"; [n] children/*[2]/children/*[1]; [t] "aus";  [n] children/*[1]/children/*[1]; [t] "Ende Binomial",self::vector,@role="binomial"'.split(","),'Rule,binomial,sbrief,[t] "Binomial"; [n] children/*[2]/children/*[1]; [t] "aus";  [n] children/*[1]/children/*[1]; [t] "Ende Binomial",self::vector,@role="binomial"'.split(","),["Rule","cases","default",'[t] "Anfang Fallunterscheidung"; [t] "gro\u00dfe"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Fallunterscheidung"',
+"self::cases"],["Rule","cases","brief",'[t] "Anfang F\u00e4lle"; [t] "gro\u00dfe"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende F\u00e4lle"',"self::cases"],["Rule","cases","sbrief",'[t] "F\u00e4lle"; [t] "gro\u00dfe"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende F\u00e4lle"',"self::cases"],["Aliases","layout","self::multiline"],["Rule","line","default","[m] children/*","self::line"],'Rule,line-with-label,default,[t] "mit Bezeichner"; [n] content/*[1]; [t] "Ende Bezeichner" (pause: 200); [m] children/*,self::line,content'.split(","),
+["SpecializedRule","line-with-label","default","brief",'[t] "Bezeichner"; [n] content/*[1] (pause: 200); [m] children/*'],["SpecializedRule","line-with-label","brief","sbrief"],'Rule,line-with-text-label,sbrief,[t] "Bezeichner"; [t] CSFRemoveParens; [m] children/*,self::line,content,name(content/cell/children/*[1])="text"'.split(","),'Rule;empty-line;default;[t] "leer";self::line;count(children/*)=0;not(content)'.split(";"),["SpecializedRule","empty-line","default","brief"],["SpecializedRule","empty-line",
+"brief","sbrief"],'Rule,empty-line-with-label,default,[t] "mit Bezeichner"; [n] content/*[1]; [t] "Ende Bezeichner"(pause: 200); [t] "leer",self::line,count(children/*)=0,content'.split(","),["SpecializedRule","empty-line-with-label","default","brief",'[t] "Bezeichner"; [n] content/*[1] (pause: 200); [t] "leer"'],["SpecializedRule","empty-line-with-label","brief","sbrief"],["Rule","enclose","default",'[t] "Anfang Umschlie\u00dfung"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "Ende Umschlie\u00dfung"',
+"self::enclose"],["Aliases","overbar","self::enclose",'@role="top"'],["Aliases","underbar","self::enclose",'@role="bottom"'],'Rule,leftbar,default,[t] "senkrechter Strich"; [n] children/*[1],self::enclose,@role="left"'.split(","),'Rule,rightbar,default,[n] children/*[1]; [t] "senkrechter Strich",self::enclose,@role="right"'.split(","),'Rule,crossout,default,[t] "durchgestrichen"; [n] children/*[1]; [t] "Ende duchgestrichen",self::enclose,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),
+'Rule,cancel,default,[t] "durchgestrichen"; [n] children/*[1]/children/*[1]; [t] "mit"; [n] children/*[2]; [t] "Ende duchgestrichen",self::overscore,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),["SpecializedRule","cancel","default","brief"],["SpecializedRule","cancel","default","sbrief"],["Aliases","cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'],'Rule,cancel-reverse,default,[t] "durchgestrichen"; [n] children/*[2]/children/*[1]; [t] "mit"; [n] children/*[1]; [t] "Ende duchgestrichen",self::overscore,name(children/*[2])="enclose",children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'.split(","),
+["SpecializedRule","cancel-reverse","default","brief"],["SpecializedRule","cancel-reverse","default","sbrief"],["Aliases","cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'],'Rule;end-punct;default;[m] children/*;self::punctuated;@role="endpunct"'.split(";"),'Rule,start-punct,default,[n] content/*[1]; [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule,integral-punct,default,[n] children/*[1]; [n] children/*[3],self::punctuated,@role="integral"'.split(","),
+["Rule","punctuated","default","[m] children/*","self::punctuated"],'Rule;unit;default;[t] text() (grammar:annotation="unit":translate:plural);self::identifier;@role="unit"'.split(";"),'Rule,unit-square,default,[t] "Quadrat"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=2],name(children/*[1])="identifier"'.split(","),'Rule,unit-cubic,default,[t] "Kubik"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=3],name(children/*[1])="identifier"'.split(","),'Rule,reciprocal,default,[n] children/*[1]; [t] "invers",self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]'.split(","),
+'Rule,reciprocal,default,[t] "pro"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],preceding-sibling::*[@role="unit"]'.split(","),'Rule;unit-combine;default;[m] children/*;self::infixop;@role="unit"'.split(";"),'Rule,unit-divide,default,[n] children/*[1]; [t] "pro"; [n] children/*[2],self::fraction,@role="unit"'.split(","),["Rule","inference","default",'[t] "Schlussregel"; [m] content/*; [t] "mit Folgerung"; [n] children/*[1]; [t] "aus"; [t] count(children/*[2]/children/*); [t] "Pr\u00e4missen"',
+"self::inference"],'Rule,inference,default,[t] "Schlussregel"; ; [m] content/*; [t] "mit Folgerung"; [n] children/*[1]; [t] "aus"; [t] count(children/*[2]/children/*); [t] "Pr\u00e4misse",self::inference,count(children/*[2]/children/*)<2'.split(","),["Rule","premise","default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Pr\u00e4misse ");',"self::premises"],["Rule","conclusion","default","[n] children/*[1]","self::conclusion"],["Rule","label","default",'[t] "Regel"; [n] children/*[1]',"self::rulelabel"],
+'Rule,axiom,default,[t] "Axiom"; [m] children/*[1];,self::inference,@role="axiom"'.split(","),'Rule,axiom,default,[t] "leeres Axiom";,self::empty,@role="axiom"'.split(",")],initialize:[sre.MathspeakUtil.generateTensorRules]};sre.MathspeakRules={domain:"mathspeak",functions:[["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber],["CQF","CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier],["CSF","CSFspaceoutText",sre.MathspeakUtil.spaceoutText],["CSF","CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose],["CSF","CSFcloseFracVerbose",sre.MathspeakUtil.closingFractionVerbose],["CSF","CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose],["CSF","CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief],
+["CSF","CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief],["CSF","CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief],["CSF","CSFcloseFracSbrief",sre.MathspeakUtil.closingFractionSbrief],["CSF","CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief],["CSF","CSFvulgarFraction",sre.NumbersUtil.vulgarFraction],["CQF","CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction],["CSF","CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose],["CSF","CSFcloseRadicalVerbose",
+sre.MathspeakUtil.closingRadicalVerbose],["CSF","CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose],["CSF","CSFopenRadicalBrief",sre.MathspeakUtil.openingRadicalBrief],["CSF","CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief],["CSF","CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief],["CSF","CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief],["CSF","CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief],["CSF","CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],
+["CSF","CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFbaselineVerbose",sre.MathspeakUtil.baselineVerbose],["CSF","CSFbaselineBrief",sre.MathspeakUtil.baselineBrief],["CSF","CSFleftsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFleftsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFrightsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],
+["CSF","CSFrightsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFleftsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFleftsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFrightsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFrightsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFunderscript",sre.MathspeakUtil.nestedUnderscore],["CSF","CSFoverscript",sre.MathspeakUtil.nestedOverscore],["CTXF","CTXFordinalCounter",sre.NumbersUtil.ordinalCounter],
+["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CQF","CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple],["CSF","CSFRemoveParens",sre.MathspeakUtil.removeParens],["CQF","CQFresetNesting",sre.MathspeakUtil.resetNestingDepth]],rules:['Rule{collapsed{default{[t] "collapsed"; [n] . (engine:modality=summary,grammar:collapsed){self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),["SpecializedRule","collapsed","default","brief"],
+["SpecializedRule","collapsed","brief","sbrief"],"Rule;stree;default;[n] ./*[1];self::stree;CQFresetNesting".split(";"),["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::number;contains(@grammar, "protected")'.split(";"),["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule;blank-empty;default;[t] "Blank";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),'Rule{font{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),
+'Rule{font-identifier-short{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{not(contains(@grammar, "ignoreFont")){@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),'Rule{german-font{default{[t] "German"; [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font="fraktur"'.split("{"),
+'Rule{german-font{default{[t] "bold German"; [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font="bold-fraktur"'.split("{"),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "and"; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),'Rule{number-with-chars{default{[t] "Number"; [m] CQFspaceoutNumber (grammar:protected){self::number{@role="othernumber"{"" != translate(text(), "0123456789.,", ""){not(contains(@grammar, "protected"))'.split("{"),
+["SpecializedRule","number-with-chars","default","brief",'[t] "Num"; [m] CQFspaceoutNumber (grammar:protected)'],["SpecializedRule","number-with-chars","brief","sbrief"],'Rule{number-as-upper-word{default{[t] "UpperWord"; [t] CSFspaceoutText{self::number{string-length(text())>1{text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9"){""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")'.split("{"),
+["SpecializedRule","number-as-upper-word","default","brief"],["SpecializedRule","number-as-upper-word","default","sbrief"],'Rule{number-baseline{default{[t] "Baseline"; [n] . (grammar:baseline){self::number{not(contains(@grammar, "ignoreFont")){preceding-sibling::identifier{not(contains(@grammar, "baseline")){preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline","default",
+"brief",'[t] "Base"; [n] . (grammar:baseline)'],["SpecializedRule","number-baseline","brief","sbrief"],'Rule{number-baseline-font{default{[t] "Baseline"; [t] @font; [n] . (grammar:ignoreFont=@font){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"{preceding-sibling::identifier{preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline-font","default","brief",
+'[t] "Base"; [t] @font; [n] . (grammar:ignoreFont=@font)'],["SpecializedRule","number-baseline-font","brief","sbrief"],'Rule;identifier;default;[m] CQFspaceoutIdentifier;self::identifier;string-length(text())>1;@role!="unit";not(@font) or @font="normal" or contains(@grammar, "ignoreFont");text()!=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")'.split(";"),
+["Rule","identifier","default","[n] text()","self::identifier"],'Rule,negative,default,[t] "negative"; [n] children/*[1],self::prefixop,@role="negative",children/identifier'.split(","),["Aliases","negative","self::prefixop",'@role="negative"',"children/number"],["Aliases","negative","self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]'],'Rule,negative,default,[t] "minus"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),["Rule","prefix","default","[m] content/*; [n] children/*[1]",
+"self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [m] content/*","self::postfixop"],["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule;implicit;default;[m] children/*;self::infixop;@role="implicit"'.split(";"),["Aliases","implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"'],'Rule,subtraction,default,[m] children/* (separator:"minus");,self::infixop,@role="subtraction"'.split(","),
+["Rule","function-unknown","default","[n] children/*[1]; [n] children/*[2]","self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,children/*[1][@role="prefix function"]'.split(","),'Rule,fences-open-close,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="leftright"'.split(","),'Rule,fences-neutral,default,[t] "StartAbsoluteValue"; [n] children/*[1]; [t] "EndAbsoluteValue",self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["SpecializedRule","fences-neutral","default","sbrief",'[t] "AbsoluteValue"; [n] children/*[1]; [t] "EndAbsoluteValue"'],'Rule,fences-neutral,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="neutral"'.split(","),'Rule,fences-set,default,[t] "StartSet"; [n] children/*[1]; [t] "EndSet",self::fenced,@role="set empty" or @role="set extended" or @role="set singleton" or @role="set collection",not(name(../..)="appl")'.split(","),["SpecializedRule","fences-set","default",
+"sbrief",'[t] "Set"; [n] children/*[1]; [t] "EndSet"'],["Rule","text","default","[n] text()","self::text"],'Rule;factorial;default;[t] "factorial";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),'Rule;minus;default;[t] "minus";self::operator;text()="-"'.split(";"),'Rule;single-prime;default;[t] "prime";self::punctuated;@role="prime";count(children/*)=1'.split(";"),'Rule;double-prime;default;[t] "double prime";self::punctuated;@role="prime";count(children/*)=2'.split(";"),
+'Rule;triple-prime;default;[t] "triple prime";self::punctuated;@role="prime";count(children/*)=3'.split(";"),'Rule;quadruple-prime;default;[t] "quadruple prime";self::punctuated;@role="prime";count(children/*)=4'.split(";"),'Rule,counted-prime,default,[t] count(children/*); [t] "prime",self::punctuated,@role="prime"'.split(","),["Rule","fraction","default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction"],["Rule","fraction",
+"brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief","self::fraction"],["Rule","fraction","sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief","self::fraction"],'Rule;vulgar-fraction;default;[t] CSFvulgarFraction;self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["SpecializedRule","vulgar-fraction","default","brief"],["SpecializedRule","vulgar-fraction","default",
+"sbrief"],'Rule,continued-fraction-outer,default,[t] "ContinuedFraction"; [n] children/*[1];[t] "Over"; [n] children/*[2],self::fraction,not(ancestor::fraction),children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),["SpecializedRule","continued-fraction-outer","default","brief",'[t] "ContinuedFrac"; [n] children/*[1];[t] "Over"; [n] children/*[2]'],["SpecializedRule","continued-fraction-outer","brief","sbrief"],'Rule,continued-fraction-inner,default,[t] "StartFraction"; [n] children/*[1];[t] "Over"; [n] children/*[2],self::fraction,ancestor::fraction,children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),
+["SpecializedRule","continued-fraction-inner","default","brief",'[t] "StartFrac"; [n] children/*[1];[t] "Over"; [n] children/*[2]'],["SpecializedRule","continued-fraction-inner","brief","sbrief",'[t] "Frac"; [n] children/*[1];[t] "Over"; [n] children/*[2]'],["Rule","sqrt","default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt"],["Rule","sqrt","brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],["Rule","sqrt","sbrief",
+"[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],["Rule","root","default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root"],["Rule","root","brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root"],["Rule","root","sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief",
+"self::root"],'Rule,limboth,default,[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3],self::limboth,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Rule,limlower,default,[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];,self::limlower,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),
+'Rule,limupper,default,[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];,self::limupper,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Aliases;limlower;self::underscore;@role="limit function";name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),'Aliases;limlower;self::underscore;children/*[2][@role!="underaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),
+'Aliases;limupper;self::overscore;children/*[2][@role!="overaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),["Rule","limboth-end","default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "Endscripts"',"self::limboth"],["Rule","limlower-end","default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "Endscripts"',"self::limlower"],["Rule","limupper-end",
+"default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "Endscripts"',"self::limupper"],["Aliases","limlower-end","self::underscore",'@role="limit function"'],["Aliases","limlower-end","self::underscore"],["Aliases","limupper-end","self::overscore"],["Rule","integral","default","[n] children/*[1]; [n] children/*[2]; [n] children/*[3];","self::integral"],'Rule,integral,default,[n] children/*[1]; [t] "Subscript"; [n] children/*[2];[t] "Superscript"; [n] children/*[3]; [t] "Baseline";,self::limboth,@role="integral"'.split(","),
+["SpecializedRule","integral","default","brief",'[n] children/*[1]; [t] "Sub"; [n] children/*[2];[t] "Sup"; [n] children/*[3]; [t] "Base";'],["SpecializedRule","integral","brief","sbrief"],["Rule","bigop","default","[n] children/*[1]; [n] children/*[2];","self::bigop"],["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],'Rule,equality,default,[n] children/*[1]; [n] content/*[1]; [n] children/*[2],self::relseq,@role="equality",count(./children/*)=2'.split(","),
+'Rule;multi-equality;default;[m] children/* (sepFunc:CTXFcontentIterator);self::relseq;@role="equality";count(./children/*)>2'.split(";"),["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],["Rule","subscript","default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript"],["Rule","subscript","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript"],["SpecializedRule","subscript","brief","sbrief"],
+'Rule,subscript-simple,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(./children/*[1])="identifier",name(./children/*[2])="number",./children/*[2][@role!="mixed"],./children/*[2][@role!="othernumber"]'.split(","),["SpecializedRule","subscript-simple","default","brief"],["SpecializedRule","subscript-simple","default","sbrief"],'Rule,subscript-baseline,default,[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose,self::subscript,following-sibling::*,not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup",not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","subscript-baseline","default","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBrief"],["SpecializedRule","subscript-baseline","brief","sbrief"],'Aliases;subscript-baseline;self::subscript;not(following-sibling::*);ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction;not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","subscript-baseline",
+"self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint()],["Aliases","subscript-baseline","self::subscript","not(following-sibling::*)","@embellished"],'Rule,subscript-empty-sup,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="superscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),["SpecializedRule","subscript-empty-sup",
+"default","brief"],["SpecializedRule","subscript-empty-sup","brief","sbrief"],["Aliases","subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"'],["Rule","superscript","default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript"],["SpecializedRule","superscript","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]"],["SpecializedRule","superscript","brief","sbrief"],'Rule,superscript-baseline,default,[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose,self::superscript,following-sibling::*,not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","superscript-baseline","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBrief"],["SpecializedRule","superscript-baseline","brief","sbrief"],'Aliases;superscript-baseline;self::superscript;not(following-sibling::*);ancestor::punctuated;ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","superscript-baseline","self::superscript",
+"not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt"],["Aliases","superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint()],'Aliases superscript-baseline self::superscript not(following-sibling::*) @embellished not(children/*[2][@role="prime"])'.split(" "),'Rule,superscript-empty-sub,default,[n] children/*[1]; [n] children/*[2],self::superscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="subscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),
+["SpecializedRule","superscript-empty-sub","default","brief"],["SpecializedRule","superscript-empty-sub","brief","sbrief"],["Aliases","superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"'],'Rule,square,default,[n] children/*[1]; [t] "squared",self::superscript,children/*[2],children/*[2][text()=2],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","square","default","brief"],["SpecializedRule","square","default","sbrief"],'Aliases;square;self::superscript;children/*[2];children/*[2][text()=2];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,cube,default,[n] children/*[1]; [t] "cubed",self::superscript,children/*[2],children/*[2][text()=3],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","cube","default","brief"],["SpecializedRule","cube","default","sbrief"],'Aliases;cube;self::superscript;children/*[2];children/*[2][text()=3];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"]'.split(","),["SpecializedRule","prime","default","brief"],["SpecializedRule","prime","default","sbrief"],'Rule,prime-subscript,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",not(following-sibling::*)'.split(","),
+["SpecializedRule","prime-subscript","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]"],["SpecializedRule","prime-subscript","brief","sbrief"],'Rule,prime-subscript-baseline,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose,self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",following-sibling::*'.split(","),
+["SpecializedRule","prime-subscript-baseline","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBrief"],["SpecializedRule","prime-subscript-baseline","brief","sbrief"],'Aliases prime-subscript-baseline self::superscript children/*[2][@role="prime"] name(children/*[1])="subscript" not(following-sibling::*) @embellished'.split(" "),'Rule,prime-subscript-simple,default,[n] children/*[1]/children/*[1]; [n] children/*[2];[n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",name(children/*[1]/children/*[1])="identifier",name(children/*[1]/children/*[2])="number",children/*[1]/children/*[2][@role!="mixed"],children/*[1]/children/*[2][@role!="othernumber"]'.split(","),
+["SpecializedRule","prime-subscript-simple","default","brief"],["SpecializedRule","prime-subscript-simple","default","sbrief"],'Rule,overscore,default,[t] "ModifyingAbove"; [n] children/*[1]; [t] "With"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"]'.split(","),["SpecializedRule","overscore","default","brief",'[t] "ModAbove"; [n] children/*[1]; [t] "With"; [n] children/*[2]'],["SpecializedRule","overscore","brief","sbrief"],'Rule,double-overscore,default,[t] "ModifyingAbove Above"; [n] children/*[1]; [t] "With"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"],name(children/*[1])="overscore",children/*[1]/children/*[2][@role="overaccent"]'.split(","),
+["SpecializedRule","double-overscore","default","brief",'[t] "ModAbove Above"; [n] children/*[1]; [t] "With"; [n] children/*[2]'],["SpecializedRule","double-overscore","brief","sbrief"],'Rule,underscore,default,[t] "ModifyingBelow"; [n] children/*[1]; [t] "With"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"]'.split(","),["SpecializedRule","underscore","default","brief",'[t] "ModBelow"; [n] children/*[1]; [t] "With"; [n] children/*[2]'],["SpecializedRule","underscore","brief",
+"sbrief"],'Rule,double-underscore,default,[t] "ModifyingBelow Below"; [n] children/*[1]; [t] "With"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role="underaccent"]'.split(","),["SpecializedRule","double-underscore","default","brief",'[t] "ModBelow Below"; [n] children/*[1]; [t] "With"; [n] children/*[2]'],["SpecializedRule","double-underscore","brief","sbrief"],'Rule,overbar,default,[n] children/*[1]; [t] "overbar",self::overscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+["SpecializedRule","overbar","default","brief",'[n] children/*[1]; [t] "overBar"'],["SpecializedRule","overbar","brief","sbrief"],'Rule,underbar,default,[n] children/*[1]; [t] "underbar",self::underscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="underaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),["SpecializedRule","underbar","default","brief",'[n] children/*[1]; [t] "underBar"'],
+["SpecializedRule","underbar","brief","sbrief"],'Rule,overtilde,default,[n] children/*[1]; [t] "overTilde",self::overscore,children/*[2][@role="overaccent"],@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]'.split(","),["SpecializedRule","overtilde","default","brief",'[n] children/*[1]; [t] "overtilde"'],["SpecializedRule","overtilde","brief","sbrief"],'Rule,undertilde,default,[n] children/*[1]; [t] "underTilde",self::underscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="underaccent"],children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]'.split(","),
+["SpecializedRule","undertilde","default","brief",'[n] children/*[1]; [t] "undertilde"'],["SpecializedRule","undertilde","brief","sbrief"],'Rule,matrix-fence,default,[n] children/*[1];,self::fenced,count(children/*)=1,name(children/*[1])="matrix"'.split(","),["Rule","matrix","default",'[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Matrix"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndMatrix"',"self::matrix"],["Rule","matrix","sbrief",
+'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Matrix"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndMatrix"',"self::matrix"],["Aliases","matrix","self::vector"],["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column");[p] (pause: 200)',"self::row"],'Rule{row-with-label{default{[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column"){self::row{content'.split("{"),
+'Rule{row-with-label{brief{[t] "Label"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column"){self::row{content'.split("{"),["SpecializedRule","row-with-label","brief","sbrief"],'Rule{row-with-text-label{sbrief{[t] "Label"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column"){self::row{content{name(content/cell/children/*[1])="text"'.split("{"),'Rule;empty-row;default;[t] "Blank";self::row;count(children/*)=0'.split(";"),["Rule","matrix-cell",
+"default","[n] children/*[1]; [p] (pause: 300)","self::cell"],'Rule,empty-cell,default,[t] "Blank"; [p] (pause: 300),self::cell,count(children/*)=0'.split(","),'Rule{determinant{default{[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndDeterminant"{self::matrix{@role="determinant"'.split("{"),["SpecializedRule","determinant","default","sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndDeterminant"'],
+'Rule{determinant-simple{default{[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row",grammar:simpleDet); [t] "EndDeterminant"{self::matrix{@role="determinant"{CQFdetIsSimple'.split("{"),["SpecializedRule","determinant-simple","default","sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row",grammar:simpleDet); [t] "EndDeterminant"'],
+'Rule{row-simple{default{[m] children/*;{self::row{@role="determinant"{contains(@grammar, "simpleDet")'.split("{"),["Rule","layout","default",'[t] "StartLayout"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::table"],["Rule","layout","sbrief",'[t] "Layout"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::table"],'Rule,binomial,default,[t] "StartBinomialOrMatrix"; [n] children/*[1]/children/*[1]; [t] "Choose"; [n] children/*[2]/children/*[1];  [t] "EndBinomialOrMatrix",self::vector,@role="binomial"'.split(","),
+'Rule,binomial,sbrief,[t] "BinomialOrMatrix"; [n] children/*[1]/children/*[1]; [t] "Choose"; [n] children/*[2]/children/*[1];  [t] "EndBinomialOrMatrix",self::vector,@role="binomial"'.split(","),["Rule","cases","default",'[t] "StartLayout"; [t] "Enlarged"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::cases"],["Rule","cases","sbrief",'[t] "Layout"; [t] "Enlarged"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',
+"self::cases"],["Aliases","layout","self::multiline"],["Rule","line","default","[m] children/*","self::line"],'Rule,line-with-label,default,[t] "with Label"; [n] content/*[1]; [t] "EndLabel" (pause: 200); [m] children/*,self::line,content'.split(","),["SpecializedRule","line-with-label","default","brief",'[t] "Label"; [n] content/*[1] (pause: 200); [m] children/*'],["SpecializedRule","line-with-label","brief","sbrief"],'Rule,line-with-text-label,sbrief,[t] "Label"; [t] CSFRemoveParens; [m] children/*,self::line,content,name(content/cell/children/*[1])="text"'.split(","),
+'Rule;empty-line;default;[t] "Blank";self::line;count(children/*)=0;not(content)'.split(";"),["SpecializedRule","empty-line","default","brief"],["SpecializedRule","empty-line","brief","sbrief"],'Rule,empty-line-with-label,default,[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [t] "Blank",self::line,count(children/*)=0,content'.split(","),["SpecializedRule","empty-line-with-label","default","brief",'[t] "Label"; [n] content/*[1] (pause: 200); [t] "Blank"'],["SpecializedRule","empty-line-with-label",
+"brief","sbrief"],["Rule","enclose","default",'[t] "StartEnclose"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "EndEnclose"',"self::enclose"],["Aliases","overbar","self::enclose",'@role="top"'],["Aliases","underbar","self::enclose",'@role="bottom"'],'Rule,leftbar,default,[t] "vertical bar"; [n] children/*[1],self::enclose,@role="left"'.split(","),'Rule,rightbar,default,[n] children/*[1]; [t] "vertical bar",self::enclose,@role="right"'.split(","),'Rule,crossout,default,[t] "CrossOut"; [n] children/*[1]; [t] "EndCrossOut",self::enclose,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),
+'Rule,cancel,default,[t] "CrossOut"; [n] children/*[1]/children/*[1]; [t] "With"; [n] children/*[2]; [t] "EndCrossOut",self::overscore,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),["SpecializedRule","cancel","default","brief"],["SpecializedRule","cancel","default","sbrief"],["Aliases","cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'],'Rule,cancel-reverse,default,[t] "CrossOut"; [n] children/*[2]/children/*[1]; [t] "With"; [n] children/*[1]; [t] "EndCrossOut",self::overscore,name(children/*[2])="enclose",children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'.split(","),
+["SpecializedRule","cancel-reverse","default","brief"],["SpecializedRule","cancel-reverse","default","sbrief"],["Aliases","cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'],'Rule;end-punct;default;[m] children/*;self::punctuated;@role="endpunct"'.split(";"),'Rule,start-punct,default,[n] content/*[1]; [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule,integral-punct,default,[n] children/*[1]; [n] children/*[3],self::punctuated,@role="integral"'.split(","),
+["Rule","punctuated","default","[m] children/*","self::punctuated"],'Rule;unit;default;[t] text() (grammar:annotation="unit":translate:plural);self::identifier;@role="unit"'.split(";"),'Rule;unit-combine;default;[m] children/*;self::infixop;@role="unit"'.split(";"),'Rule,unit-divide,default,[n] children/*[1]; [t] "per"; [n] children/*[2],self::fraction,@role="unit"'.split(","),["Rule","inference","default",'[t] "inference rule"; [m] content/*; [t] "with conclusion"; [n] children/*[1]; [t] "and"; [t] count(children/*[2]/children/*); [t] "premises"',
+"self::inference"],'Rule,inference,default,[t] "inference rule"; ; [m] content/*; [t] "with conclusion"; [n] children/*[1]; [t] "and"; [t] count(children/*[2]/children/*); [t] "premise",self::inference,count(children/*[2]/children/*)<2'.split(","),["Rule","premise","default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"premise ");',"self::premises"],["Rule","conclusion","default","[n] children/*[1]","self::conclusion"],["Rule","label","default",'[t] "label"; [n] children/*[1]',"self::rulelabel"],
+'Rule,axiom,default,[t] "axiom"; [m] children/*[1];,self::inference,@role="axiom"'.split(","),'Rule,axiom,default,[t] "empty axiom";,self::empty,@role="axiom"'.split(",")],initialize:[sre.MathspeakUtil.generateTensorRules]};sre.MathspeakSpanishUtil={};sre.MathspeakSpanishUtil.ordinalCounter=function(a,b){var c=0;return function(){return sre.Messages.NUMBERS.numberToOrdinal(++c,!1)+" "+b}};sre.MathspeakSpanishUtil.smallRoot=function(a){if(!a.childNodes||0===a.childNodes.length||!a.childNodes[0].childNodes)return[];var b=a.childNodes[0].childNodes[0].textContent;if(!/^\d+$/.test(b))return[];b=parseInt(b,10);return 1<b&&10>=b?[a]:[]};sre.UnitUtil={};sre.UnitUtil.unitMultipliers=function(a,b){var c=0;return function(){var d=sre.AuditoryDescription.create({text:sre.UnitUtil.rightMostUnit(a[c])&&sre.UnitUtil.leftMostUnit(a[c+1])?sre.Messages.UNIT_TIMES:""},{});c++;return[d]}};sre.UnitUtil.SCRIPT_ELEMENTS=[sre.SemanticAttr.Type.SUPERSCRIPT,sre.SemanticAttr.Type.SUBSCRIPT,sre.SemanticAttr.Type.OVERSCORE,sre.SemanticAttr.Type.UNDERSCORE];
+sre.UnitUtil.rightMostUnit=function(a){for(;a;){if("unit"===a.getAttribute("role"))return!0;var b=a.tagName;a=sre.XpathUtil.evalXPath("children/*",a);a=-1!==sre.UnitUtil.SCRIPT_ELEMENTS.indexOf(b)?a[0]:a[a.length-1]}return!1};sre.UnitUtil.leftMostUnit=function(a){for(;a;){if("unit"===a.getAttribute("role"))return!0;a=sre.XpathUtil.evalXPath("children/*",a)[0]}return!1};
+sre.UnitUtil.oneLeft=function(a){for(;a;){if("number"===a.tagName&&"1"===a.textContent)return[a];if("infixop"!==a.tagName||"multiplication"!==a.getAttribute("role")&&"implicit"!==a.getAttribute("role"))break;a=sre.XpathUtil.evalXPath("children/*",a)[0]}return[]};sre.MathspeakSpanish={locale:"es",domain:"mathspeak",functions:[["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber],["CQF","CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier],["CSF","CSFspaceoutText",sre.MathspeakUtil.spaceoutText],["CSF","CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose],["CSF","CSFcloseFracVerbose",sre.MathspeakUtil.closingFractionVerbose],["CSF","CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose],["CSF","CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief],
+["CSF","CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief],["CSF","CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief],["CSF","CSFcloseFracSbrief",sre.MathspeakUtil.closingFractionSbrief],["CSF","CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief],["CSF","CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose],["CSF","CSFcloseRadicalVerbose",sre.MathspeakUtil.closingRadicalVerbose],["CSF","CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose],["CSF","CSFopenRadicalBrief",
+sre.MathspeakUtil.openingRadicalBrief],["CSF","CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief],["CSF","CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief],["CSF","CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief],["CSF","CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief],["CQF","CQFisSmallRoot",sre.MathspeakSpanishUtil.smallRoot],["CSF","CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],
+["CSF","CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFbaselineVerbose",sre.MathspeakUtil.baselineVerbose],["CSF","CSFbaselineBrief",sre.MathspeakUtil.baselineBrief],["CSF","CSFleftsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFleftsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFrightsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFrightsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],
+["CSF","CSFleftsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFleftsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFrightsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFrightsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFunderscript",sre.MathspeakUtil.nestedUnderscore],["CSF","CSFoverscript",sre.MathspeakUtil.nestedOverscore],["CTXF","CTXFordinalCounter",sre.MathspeakSpanishUtil.ordinalCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],
+["CTXF","CTXFunitMultipliers",sre.UnitUtil.unitMultipliers],["CQF","CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple],["CSF","CSFRemoveParens",sre.MathspeakUtil.removeParens],["CQF","CQFoneLeft",sre.UnitUtil.oneLeft],["CQF","CQFresetNesting",sre.MathspeakUtil.resetNestingDepth]],rules:['Rule{collapsed{default{[n] . (engine:modality=summary,grammar:collapsed); [t] "plegado";{self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),["SpecializedRule",
+"collapsed","default","brief"],["SpecializedRule","collapsed","brief","sbrief"],"Rule;stree;default;[n] ./*[1];self::stree;CQFresetNesting".split(";"),["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::number;contains(@grammar, "protected")'.split(";"),["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule;blank-empty;default;[t] "espacio";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),'Rule{font{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),
+'Rule{font-identifier-short{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{not(contains(@grammar, "ignoreFont")){@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "m\u00e1s"; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),
+'Rule{number-with-chars{default{[t] "n\u00famero"; [m] CQFspaceoutNumber (grammar:protected){self::number{@role="othernumber"{"" != translate(text(), "0123456789.,", ""){not(contains(@grammar, "protected"))'.split("{"),["SpecializedRule","number-with-chars","default","brief",'[t] "n\u00fam"; [m] CQFspaceoutNumber (grammar:protected)'],["SpecializedRule","number-with-chars","brief","sbrief"],'Rule{number-as-upper-word{default{[t] "may\u00fascula"; [t] CSFspaceoutText{self::number{string-length(text())>1{text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9"){""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")'.split("{"),
+["SpecializedRule","number-as-upper-word","default","brief"],["SpecializedRule","number-as-upper-word","default","sbrief"],'Rule{number-baseline{default{[t] "l\u00ednea base"; [n] . (grammar:baseline){self::number{not(contains(@grammar, "ignoreFont")){preceding-sibling::identifier{not(contains(@grammar, "baseline")){preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline",
+"default","brief",'[t] "base"; [n] text()'],["SpecializedRule","number-baseline","brief","sbrief"],'Rule{number-baseline-font{default{[t] "l\u00ednea base"; [t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"{preceding-sibling::identifier{preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline-font",
+"default","brief",'[t] "base"; [t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)'],["SpecializedRule","number-baseline-font","brief","sbrief"],'Rule;identifier;default;[m] CQFspaceoutIdentifier;self::identifier;string-length(text())>1;@role!="unit";not(@font) or @font="normal" or contains(@grammar, "ignoreFont");text()!=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")'.split(";"),
+["Rule","identifier","default","[n] text()","self::identifier"],'Rule,negative,default,[t] "menos"; [n] children/*[1],self::prefixop,@role="negative",children/identifier'.split(","),["Aliases","negative","self::prefixop",'@role="negative"',"children/number"],["Aliases","negative","self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]'],'Rule,negative,default,[t] "menos"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),["Rule","prefix","default","[m] content/*; [n] children/*[1]",
+"self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [m] content/*","self::postfixop"],["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule;implicit;default;[m] children/*;self::infixop;@role="implicit"'.split(";"),["Aliases","implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"'],'Rule,subtraction,default,[m] children/* (separator:"menos");,self::infixop,@role="subtraction"'.split(","),
+["Rule","function-unknown","default","[n] children/*[1]; [n] children/*[2]","self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,children/*[1][@role="prefix function"]'.split(","),'Rule,fences-open-close,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="leftright"'.split(","),'Rule,fences-neutral,default,[t] "empezar valor absoluto"; [n] children/*[1]; [t] "finalizar valor absoluto",self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["SpecializedRule","fences-neutral","default","sbrief",'[t] "valor absoluto"; [n] children/*[1]; [t] "finalizar valor absoluto"'],'Rule,fences-neutral,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="neutral"'.split(","),'Rule,fences-set,default,[t] "empezar llave"; [n] children/*[1]; [t] "finalizar llave",self::fenced,@role="set empty" or @role="set extended" or @role="set singleton" or @role="set collection",not(name(../..)="appl")'.split(","),["SpecializedRule",
+"fences-set","default","sbrief",'[t] "llave"; [n] children/*[1]; [t] "finalizar llave"'],["Rule","text","default","[n] text() (grammar:noTranslateText)","self::text"],'Rule;factorial;default;[t] "factorial";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),'Rule;minus;default;[t] "menos";self::operator;text()="-"'.split(";"),'Rule;single-prime;default;[t] "prima";self::punctuated;@role="prime";count(children/*)=1'.split(";"),'Rule;double-prime;default;[t] "doble prima";self::punctuated;@role="prime";count(children/*)=2'.split(";"),
+'Rule;triple-prime;default;[t] "triple prima";self::punctuated;@role="prime";count(children/*)=3'.split(";"),'Rule;quadruple-prime;default;[t] "cuadruplicar prima";self::punctuated;@role="prime";count(children/*)=4'.split(";"),'Rule,counted-prime,default,[t] count(children/*); [t] "prime",self::punctuated,@role="prime"'.split(","),["Rule","fraction","default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction"],["Rule","fraction",
+"brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief","self::fraction"],["Rule","fraction","sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief","self::fraction"],'Rule,continued-fraction-outer,default,[t] "fracci\u00f3n continua"; [n] children/*[1];[t] "entre"; [n] children/*[2],self::fraction,not(ancestor::fraction),children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),
+["SpecializedRule","continued-fraction-outer","default","brief",'[t] "frac continua"; [n] children/*[1];[t] "entre"; [n] children/*[2]'],["SpecializedRule","continued-fraction-outer","brief","sbrief"],'Rule,continued-fraction-inner,default,[t] "empezar fracci\u00f3n"; [n] children/*[1];[t] "entre"; [n] children/*[2],self::fraction,ancestor::fraction,children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),["SpecializedRule","continued-fraction-inner","default",
+"brief",'[t] "empezar frac"; [n] children/*[1];[t] "entre"; [n] children/*[2]'],["SpecializedRule","continued-fraction-inner","brief","sbrief",'[t] "frac"; [n] children/*[1];[t] "entre"; [n] children/*[2]'],["Rule","sqrt","default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt"],["Rule","sqrt","brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],["Rule","sqrt","sbrief","[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief",
+"self::sqrt"],"Rule,root-small,default,[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose,self::root,CQFisSmallRoot".split(","),"Rule,root-small,brief,[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief,self::root,CQFisSmallRoot".split(","),"Rule,root-small,sbrief,[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief,self::root,CQFisSmallRoot".split(","),["Rule","root","default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose",
+"self::root"],["Rule","root","brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root"],["Rule","root","sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root"],'Rule,limboth,default,[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3],self::limboth,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),
+'Rule,limlower,default,[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];,self::limlower,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Rule,limupper,default,[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];,self::limupper,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Aliases;limlower;self::underscore;@role="limit function";name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),
+'Aliases;limlower;self::underscore;children/*[2][@role!="underaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),'Aliases;limupper;self::overscore;children/*[2][@role!="overaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),["Rule","limboth-end","default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "finalizar \u00edndices"',
+"self::limboth"],["Rule","limlower-end","default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "finalizar \u00edndices"',"self::limlower"],["Rule","limupper-end","default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "finalizar \u00edndices"',"self::limupper"],["Aliases","limlower-end","self::underscore",'@role="limit function"'],["Aliases","limlower-end","self::underscore"],["Aliases","limupper-end","self::overscore"],["Rule","integral","default","[n] children/*[1]; [n] children/*[2]; [n] children/*[3];",
+"self::integral"],'Rule,integral,default,[n] children/*[1]; [t] "definida"; [t] "sub\u00edndice"; [n] children/*[2];[t] "super\u00edndice"; [n] children/*[3]; [t] "l\u00ednea base";,self::limboth,@role="integral"'.split(","),["SpecializedRule","integral","default","brief",'[n] children/*[1]; [t] "Sub"; [n] children/*[2];[t] "Sup"; [n] children/*[3]; [t] "Base";'],["SpecializedRule","integral","brief","sbrief"],["Rule","bigop","default","[n] children/*[1]; [n] children/*[2];","self::bigop"],["Rule",
+"relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],'Rule,equality,default,[n] children/*[1]; [n] content/*[1]; [n] children/*[2],self::relseq,@role="equality",count(./children/*)=2'.split(","),'Rule;multi-equality;default;[m] children/* (sepFunc:CTXFcontentIterator);self::relseq;@role="equality";count(./children/*)>2'.split(";"),["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],["Rule","subscript","default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]",
+"self::subscript"],["Rule","subscript","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript"],["SpecializedRule","subscript","brief","sbrief"],'Rule,subscript-baseline,default,[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose,self::subscript,following-sibling::*,not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup",not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","subscript-baseline","default","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBriefS"],["SpecializedRule","subscript-baseline","brief","sbrief"],'Aliases;subscript-baseline;self::subscript;not(following-sibling::*);ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction;not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","subscript-baseline",
+"self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint()],["Aliases","subscript-baseline","self::subscript","not(following-sibling::*)","@embellished"],'Rule,subscript-empty-sup,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="superscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),["SpecializedRule","subscript-empty-sup",
+"default","brief"],["SpecializedRule","subscript-empty-sup","brief","sbrief"],["Aliases","subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"'],["Rule","superscript","default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript"],["SpecializedRule","superscript","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]"],["SpecializedRule","superscript","brief","sbrief"],'Rule,superscript-baseline,default,[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose,self::superscript,following-sibling::*,not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","superscript-baseline","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBriefS"],["SpecializedRule","superscript-baseline","brief","sbrief"],'Aliases;superscript-baseline;self::superscript;not(following-sibling::*);ancestor::punctuated;ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","superscript-baseline","self::superscript",
+"not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt"],["Aliases","superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint()],'Aliases superscript-baseline self::superscript not(following-sibling::*) @embellished not(children/*[2][@role="prime"])'.split(" "),'Rule,superscript-empty-sub,default,[n] children/*[1]; [n] children/*[2],self::superscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="subscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),
+["SpecializedRule","superscript-empty-sub","default","brief"],["SpecializedRule","superscript-empty-sub","brief","sbrief"],["Aliases","superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"'],'Rule,square,default,[n] children/*[1]; [t] "al cuadrado",self::superscript,children/*[2],children/*[2][text()=2],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","square","default","brief"],["SpecializedRule","square","default","sbrief"],'Aliases;square;self::superscript;children/*[2];children/*[2][text()=2];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,cube,default,[n] children/*[1]; [t] "al cubo",self::superscript,children/*[2],children/*[2][text()=3],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","cube","default","brief"],["SpecializedRule","cube","default","sbrief"],'Aliases;cube;self::superscript;children/*[2];children/*[2][text()=3];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"]'.split(","),["SpecializedRule","prime","default","brief"],["SpecializedRule","prime","default","sbrief"],'Rule,prime-subscript,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",not(following-sibling::*)'.split(","),
+["SpecializedRule","prime-subscript","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]"],["SpecializedRule","prime-subscript","brief","sbrief"],'Rule,prime-subscript-baseline,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose,self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",following-sibling::*'.split(","),
+["SpecializedRule","prime-subscript-baseline","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBriefS"],["SpecializedRule","prime-subscript-baseline","brief","sbrief"],'Aliases prime-subscript-baseline self::superscript children/*[2][@role="prime"] name(children/*[1])="subscript" not(following-sibling::*) @embellished'.split(" "),'Rule,overscore,default,[t] "modificando superior"; [n] children/*[1]; [t] "con"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"]'.split(","),
+["SpecializedRule","overscore","default","brief",'[t] "mod superior"; [n] children/*[1]; [t] "con"; [n] children/*[2]'],["SpecializedRule","overscore","brief","sbrief"],'Rule,double-overscore,default,[t] "modificando superior superior"; [n] children/*[1]; [t] "con"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"],name(children/*[1])="overscore",children/*[1]/children/*[2][@role="overaccent"]'.split(","),["SpecializedRule","double-overscore","default","brief",'[t] "mod superior superior"; [n] children/*[1]; [t] "con"; [n] children/*[2]'],
+["SpecializedRule","double-overscore","brief","sbrief"],'Rule,underscore,default,[t] "modificando inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"]'.split(","),["SpecializedRule","underscore","default","brief",'[t] "mod inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2]'],["SpecializedRule","underscore","brief","sbrief"],'Rule,double-underscore,default,[t] "modificando inferior inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role="underaccent"]'.split(","),
+["SpecializedRule","double-underscore","default","brief",'[t] "mod inferior inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2]'],["SpecializedRule","double-underscore","brief","sbrief"],'Rule,overbar,default,[n] children/*[1]; [t] "barra",self::overscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),["SpecializedRule","overbar",
+"default","brief",'[n] children/*[1]; [t] "barra"'],["SpecializedRule","overbar","brief","sbrief"],'Rule,underbar,default,[n] children/*[1]; [t] "subbarra",self::underscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="underaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),["SpecializedRule","underbar","default","brief",'[n] children/*[1]; [t] "subbarra"'],["SpecializedRule","underbar",
+"brief","sbrief"],'Rule,overtilde,default,[n] children/*[1]; [t] "tilde",self::overscore,children/*[2][@role="overaccent"],@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]'.split(","),["SpecializedRule","overtilde","default","brief",'[n] children/*[1]; [t] "tilde"'],["SpecializedRule","overtilde","brief","sbrief"],'Rule,undertilde,default,[n] children/*[1]; [t] "subtilde",self::underscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="underaccent"],children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]'.split(","),
+["SpecializedRule","undertilde","default","brief",'[n] children/*[1]; [t] "subtilde"'],["SpecializedRule","undertilde","brief","sbrief"],'Rule,matrix-fence,default,[n] children/*[1];,self::fenced,count(children/*)=1,name(children/*[1])="matrix"'.split(","),["Rule","matrix","default",'[t] "empezar matriz"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar matriz"',"self::matrix"],["Rule","matrix","sbrief",
+'[t] "matriz"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:" "); [t] "finalizar matriz"',"self::matrix"],["Aliases","matrix","self::vector"],["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"columna");[p] (pause: 200)',"self::row"],'Rule{row-with-label{default{[t] "con etiqueta"; [n] content/*[1]; [t] "finalizar etiqueta" (pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"columna"){self::row{content'.split("{"),
+'Rule{row-with-label{brief{[t] "etiqueta"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"columna"){self::row{content'.split("{"),["SpecializedRule","row-with-label","brief","sbrief"],'Rule{row-with-text-label{sbrief{[t] "etiqueta"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounter,context:"columna"){self::row{content{name(content/cell/children/*[1])="text"'.split("{"),'Rule;empty-row;default;[t] "espacio";self::row;count(children/*)=0'.split(";"),["Rule","matrix-cell",
+"default","[n] children/*[1]; [p] (pause: 300)","self::cell"],'Rule,empty-cell,default,[t] "espacio"; [p] (pause: 300),self::cell,count(children/*)=0'.split(","),'Rule{determinant{default{[t] "empezar determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar determinante"{self::matrix{@role="determinant"'.split("{"),["SpecializedRule","determinant","default","sbrief",'[t] "determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar determinante"'],
+'Rule{determinant-simple{default{[t] "empezar determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila",grammar:simpleDet); [t] "finalizar determinante"{self::matrix{@role="determinant"{CQFdetIsSimple'.split("{"),["SpecializedRule","determinant-simple","default","sbrief",'[t] "determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila",grammar:simpleDet); [t] "finalizar determinante"'],
+'Rule{row-simple{default{[m] children/*;{self::row{@role="determinant"{contains(@grammar, "simpleDet")'.split("{"),["Rule","layout","default",'[t] "empezar esquema"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar esquema"',"self::table"],["Rule","layout","sbrief",'[t] "esquema"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar esquema"',"self::table"],'Rule,binomial,default,[t] "empezar binomial"; [n] children/*[1]/children/*[1]; [t] "en"; [n] children/*[2]/children/*[1];  [t] "finalizar binomial",self::vector,@role="binomial"'.split(","),
+'Rule,binomial,sbrief,[t] "binomial"; [n] children/*[1]/children/*[1]; [t] "en"; [n] children/*[2]/children/*[1];  [t] "finalizar binomial",self::vector,@role="binomial"'.split(","),["Rule","cases","default",'[t] "empezar esquema"; [n] content/*[1]; [t] "alargada"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar esquema"',"self::cases"],["Rule","cases","sbrief",'[t] "esquema"; [n] content/*[1]; [t] "alargada"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar esquema"',
+"self::cases"],["Aliases","layout","self::multiline"],["Rule","line","default","[m] children/*","self::line"],'Rule,line-with-label,default,[t] "con etiqueta"; [n] content/*[1]; [t] "finalizar etiqueta" (pause: 200); [m] children/*,self::line,content'.split(","),["SpecializedRule","line-with-label","default","brief",'[t] "etiqueta"; [n] content/*[1] (pause: 200); [m] children/*'],["SpecializedRule","line-with-label","brief","sbrief"],'Rule,line-with-text-label,sbrief,[t] "etiqueta"; [t] CSFRemoveParens; [m] children/*,self::line,content,name(content/cell/children/*[1])="text"'.split(","),
+'Rule;empty-line;default;[t] "espacio";self::line;count(children/*)=0;not(content)'.split(";"),["SpecializedRule","empty-line","default","brief"],["SpecializedRule","empty-line","brief","sbrief"],'Rule,empty-line-with-label,default,[t] "con etiqueta"; [n] content/*[1]; [t] "finalizar etiqueta" (pause: 200); [t] "espacio",self::line,count(children/*)=0,content'.split(","),["SpecializedRule","empty-line-with-label","default","brief",'[t] "etiqueta"; [n] content/*[1] (pause: 200); [t] "espacio"'],["SpecializedRule",
+"empty-line-with-label","brief","sbrief"],["Rule","enclose","default",'[t] "empezar rodear"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "finalizar rodear"',"self::enclose"],["Aliases","overbar","self::enclose",'@role="top"'],["Aliases","underbar","self::enclose",'@role="bottom"'],'Rule,leftbar,default,[t] "barra vertical"; [n] children/*[1],self::enclose,@role="left"'.split(","),'Rule,rightbar,default,[n] children/*[1]; [t] "barra vertical",self::enclose,@role="right"'.split(","),'Rule,crossout,default,[t] "tachado"; [n] children/*[1]; [t] "finalizar tachado",self::enclose,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),
+'Rule,cancel,default,[t] "tachado"; [n] children/*[1]/children/*[1]; [t] "con"; [n] children/*[2]; [t] "finalizar tachado",self::overscore,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),["SpecializedRule","cancel","default","brief"],["SpecializedRule","cancel","default","sbrief"],["Aliases","cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'],'Rule,cancel-reverse,default,[t] "tachado"; [n] children/*[2]/children/*[1]; [t] "con"; [n] children/*[1]; [t] "finalizar tachado",self::overscore,name(children/*[2])="enclose",children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'.split(","),
+["SpecializedRule","cancel-reverse","default","brief"],["SpecializedRule","cancel-reverse","default","sbrief"],["Aliases","cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'],'Rule;end-punct;default;[m] children/*;self::punctuated;@role="endpunct"'.split(";"),'Rule,start-punct,default,[n] content/*[1]; [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule,integral-punct,default,[n] children/*[1]; [n] children/*[3],self::punctuated,@role="integral"'.split(","),
+["Rule","punctuated","default","[m] children/*","self::punctuated"],'Rule;unit-singular;default;[t] text() (grammar:annotation="unit":translate);self::identifier;@role="unit"'.split(";"),'Rule;unit-plural;default;[t] text() (grammar:annotation="unit":translate:plural);self::identifier;@role="unit";not(contains(@grammar, "singularUnit"))'.split(";"),'Rule,unit-square,default,[n] children/*[1]; [t] "cuadrado",self::superscript,@role="unit",children/*[2][text()=2],name(children/*[1])="identifier"'.split(","),
+'Rule,unit-cubic,default,[n] children/*[1]; [t] "c\u00fabico",self::superscript,@role="unit",children/*[2][text()=3],name(children/*[1])="identifier"'.split(","),'Rule,reciprocal,default,[t] "rec\u00edproco"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]'.split(","),'Rule,reciprocal,default,[t] "por"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],preceding-sibling::*[@role="unit"]'.split(","),
+'Rule;unit-combine;default;[m] children/* (sepFunc:CTXFunitMultipliers);self::infixop;@role="unit"'.split(";"),'Rule,unit-combine-mult,default,[m] children/* (sepFunc:CTXFunitMultipliers);,self::infixop,@role="multiplication" or @role="implicit",children/*[@role="unit"]'.split(","),'Rule{unit-combiner-singular{default{[n] children/*[1]; [t] "por"; [m] children/*[position()>1] (grammar:!singularUnit, sepFunc:CTXFunitMultipliers){self::infixop{@role="unit"{name(children/*[1])!="number"{contains(@grammar, "singularUnit"){count(children/*)>1'.split("{"),
+'Rule,unit-combine-singular-first,default,[n] children/*[1]; [n] children/*[2] (grammar:singularUnit); [t] "por"; [m] children/*[position()>2] (sepFunc:CTXFunitMultipliers),self::infixop,@role="unit",name(children/*[1])="number",children/*[1][text()=1]'.split(","),'Rule,unit-combine-singular-first,default,[n] children/*[1]; [n] children/*[2] (grammar:singularUnit); ,self::infixop,@role="unit",name(children/*[1])="number",children/*[1][text()=1],count(children/*)=2'.split(","),'Rule,unit-divide,default,[n] children/*[1]; [t] "por"; [n] children/*[2] (grammar:singularUnit),self::fraction,@role="unit"'.split(",")],
+initialize:[sre.MathspeakUtil.generateTensorRules]};sre.NemethUtil={};sre.NemethUtil.openingFraction=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a).join(sre.Messages.MS.FRACTION_REPEAT)+sre.Messages.MS.FRACTION_START};sre.NemethUtil.closingFraction=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a).join(sre.Messages.MS.FRACTION_REPEAT)+sre.Messages.MS.FRACTION_END};sre.NemethUtil.overFraction=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a).join(sre.Messages.MS.FRACTION_REPEAT)+sre.Messages.MS.FRACTION_OVER};
+sre.NemethUtil.overBevelledFraction=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a).join(sre.Messages.MS.FRACTION_REPEAT)+"\u2838"+sre.Messages.MS.FRACTION_OVER};sre.NemethUtil.nestedRadical=function(a,b){a=sre.NemethUtil.radicalNestingDepth(a);return 1===a?b:Array(a).join(sre.Messages.MS.NESTED)+b};sre.NemethUtil.radicalNestingDepth=function(a,b){b=b||0;return a.parentNode?sre.NemethUtil.radicalNestingDepth(a.parentNode,"root"===a.tagName||"sqrt"===a.tagName?b+1:b):b};
+sre.NemethUtil.openingRadical=function(a){return sre.NemethUtil.nestedRadical(a,sre.Messages.MS.STARTROOT)};sre.NemethUtil.closingRadical=function(a){return sre.NemethUtil.nestedRadical(a,sre.Messages.MS.ENDROOT)};sre.NemethUtil.indexRadical=function(a){return sre.NemethUtil.nestedRadical(a,sre.Messages.MS.ROOTINDEX)};
+sre.NemethUtil.enlargeFence=function(a){if(1===a.length)return"\u2820"+a;var b=a.split("");return b.every(function(c){return"\u2833"===c})?"\u2820"+b.join("\u2820"):a.slice(0,1)+"\u2820"+a.slice(1)};sre.Grammar.getInstance().setCorrection("enlargeFence",sre.NemethUtil.enlargeFence);sre.NemethUtil.NUMBER_PROPAGATORS_=[sre.SemanticAttr.Type.MULTIREL,sre.SemanticAttr.Type.RELSEQ,sre.SemanticAttr.Type.PUNCTUATED,sre.SemanticAttr.Type.APPL];
+sre.NemethUtil.checkParent_=function(a){a=a.parent;if(!a)return!1;var b=a.type;return-1!==sre.NemethUtil.NUMBER_PROPAGATORS_.indexOf(b)||b===sre.SemanticAttr.Type.PREFIXOP&&a.role===sre.SemanticAttr.Role.NEGATIVE?!0:!1};sre.NemethUtil.propagateNumber=function(a,b){if(!a.childNodes.length)return sre.NemethUtil.checkParent_(a)&&(b.number=!0),[b.number?"number":"",{number:!1}];sre.NemethUtil.checkParent_(a)&&(b.number=!0);return["",b]};
+sre.NemethUtil.numberIndicator=function(){return new sre.SemanticVisitor("nemeth",sre.NemethUtil.propagateNumber,{number:!0})};sre.NemethUtil.addAnnotators=function(){sre.SemanticAnnotations.getInstance().register(sre.NemethUtil.numberIndicator())};sre.NemethUtil.componentString_={2:"CSFbaseline",1:"CSFsubscript",0:"CSFsuperscript"};sre.NemethUtil.childNumber_={4:2,3:3,2:1,1:4,0:5};
+sre.NemethUtil.generateTensorRuleStrings_=function(a){var b=[],c="";a=parseInt(a,2);for(var d=0;5>d;d++){var e="children/*["+sre.NemethUtil.childNumber_[d]+"]";a&1?c="[t] "+sre.NemethUtil.componentString_[d%3]+"Verbose; [n] "+e+";"+c:b.unshift("name("+e+')="empty"');a>>=1}b.push(c);return b};
+sre.NemethUtil.generateTensorRules=function(a){var b=goog.bind(a.defineRule,a);a=goog.bind(a.defineRulesAlias,a);for(var c="11111 11110 11101 11100 10111 10110 10101 10100 01111 01110 01101 01100".split(" "),d=0,e;e=c[d];d++){var f="tensor"+e;e=sre.NemethUtil.generateTensorRuleStrings_(e);var g=e.pop(),h=[f,"default.default",g,"self::tensor"].concat(e);b.apply(null,h);g+="; [t]"+sre.NemethUtil.componentString_[2]+"Verbose";f+="-baseline";h=[f,"default.default",g,"self::tensor","following-sibling::*"].concat(e);
+b.apply(null,h);f=[f,"self::tensor","not(following-sibling::*)","ancestor::fraction|ancestor::punctuated|ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::relseq|ancestor::multirel|@embellished"].concat(e);a.apply(null,f)}};sre.NemethRules={locale:"nemeth",modality:"braille",domain:"default",functions:[["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber],["CQF","CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier],["CSF","CSFspaceoutText",sre.MathspeakUtil.spaceoutText],["CSF","CSFopenFraction",sre.NemethUtil.openingFraction],["CSF","CSFcloseFraction",sre.NemethUtil.closingFraction],["CSF","CSFoverFraction",sre.NemethUtil.overFraction],["CSF","CSFoverBevFraction",sre.NemethUtil.overBevelledFraction],
+["CSF","CSFopenRadicalVerbose",sre.NemethUtil.openingRadical],["CSF","CSFcloseRadicalVerbose",sre.NemethUtil.closingRadical],["CSF","CSFindexRadicalVerbose",sre.NemethUtil.indexRadical],["CSF","CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFbaselineVerbose",sre.MathspeakUtil.baselineVerbose],["CSF","CSFunderscript",sre.MathspeakUtil.nestedUnderscore],["CSF","CSFoverscript",sre.MathspeakUtil.nestedOverscore],
+["CTXF","CTXFordinalCounter",sre.NumbersUtil.ordinalCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CQF","CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple],["CSF","CSFRemoveParens",sre.MathspeakUtil.removeParens],["CQF","CQFresetNesting",sre.MathspeakUtil.resetNestingDepth]],rules:["Rule;stree;default;[n] ./*[1];self::stree;CQFresetNesting".split(";"),["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::*;@role="protected"'.split(";"),
+["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule;blank-empty;default;[t] "\u2800";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),'Rule{font{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier-short{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{not(contains(@grammar, "ignoreFont")){@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;@role!="greekletter";not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),'Rule{number-indicator{default{[t] "\u283c"; [n] text() (pause:10){self::number{contains(@annotation, "nemeth:number"){not(ancestor::sqrt){not(ancestor::root){not(ancestor::fraction)'.split("{"),
+["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "\u2838\u2839"; [n] children/*[2]/children/*[1]; [t] "\u280c"; [n] children/*[2]/children/*[2]; [t] "\u2838\u283c",self::number,@role="mixed"'.split(","),'Rule{number-with-chars{default{[t] "\u283c"; [m] CQFspaceoutNumber{self::number{"" != translate(text(), "0123456789.,", ""){text() != translate(text(), "0123456789.,", "")'.split("{"),'Rule{number-as-upper-word{default{[t] "UpperWord"; [t] CSFspaceoutText{self::number{string-length(text())>1{text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9"){""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")'.split("{"),
+'Rule{number-baseline{default{[t] "\u2810"; [n] text(){self::number{not(contains(@grammar, "ignoreFont")){preceding-sibling::identifier{preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),'Rule{number-baseline-font{default{[t] "\u2810"; [t] @font; [n] . (grammar:ignoreFont=@font){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"{preceding-sibling::identifier{preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),
+'Rule;identifier;default;[n] text();self::identifier;@role="protected"'.split(";"),'Rule,negative,default,[t] "\u2824"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),["Rule","prefix","default","[n] text(); [n] children/*[1]","self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [n] text()","self::postfixop"],["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule;implicit;default;[m] children/*;self::infixop;@role="implicit"'.split(";"),
+["Aliases","implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"'],["Rule","function-named","default",'[n] children/*[1]; [t] "\u2800"; [n] children/*[2]',"self::appl"],'Rule,function-prefix,default,[n] content/*[1]; [t] "\u2800"; [n] children/*[1],self::prefixop,content/*[1][@role="infix function"]'.split(","),'Rule,function-infix,default,[n] children/*[1]; [n] content/*[1]; [t] "\u2800"; [n] children/*[2],self::infixop,@role="infix function"'.split(","),
+'Rule,function-simple,default,[n] children/*[1]; [n] children/*[2],self::appl,children/*[1][@role="simple function"]'.split(","),["Rule","fences-open-close","default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced"],'Rule,fences-neutral,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="neutral"'.split(","),["Rule","text","default","[n] text()","self::text"],'Rule;factorial;default;[t] "\u282f";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),
+'Rule;single-prime;default;[t] "\u2804";self::punctuated;@role="prime";count(children/*)=1'.split(";"),'Rule;double-prime;default;[t] "\u2804\u2804";self::punctuated;@role="prime";count(children/*)=2'.split(";"),'Rule;triple-prime;default;[t] "\u2804\u2804\u2804";self::punctuated;@role="prime";count(children/*)=3'.split(";"),'Rule;quadruple-prime;default;[t] "\u2804\u2804\u2804\u2804";self::punctuated;@role="prime";count(children/*)=4'.split(";"),["Rule","fraction","default","[t] CSFopenFraction; [n] children/*[1]; [t] CSFoverFraction; [n] children/*[2]; [t] CSFcloseFraction",
+"self::fraction"],'Rule{bevelled-fraction{default{[t] CSFopenFraction; [n] children/*[1]; [t] CSFoverBevFraction; [n] children/*[2]; [t] CSFcloseFraction{self::fraction{contains(@annotation, "general:bevelled")'.split("{"),["Rule","sqrt","default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt"],["Rule","root","default",'[t] CSFindexRadicalVerbose; [n] children/*[1];[t] "\u281c"; [n] children/*[2]; [t] CSFcloseRadicalVerbose',"self::root"],'Rule,limboth,default,[t] "\u2810"; [n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3],self::limboth,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),
+'Rule,limlower,default,[t] "\u2810"; [n] children/*[1]; [t] CSFunderscript; [n] children/*[2];,self::limlower,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Rule,limupper,default,[t] "\u2810"; [n] children/*[1]; [t] CSFoverscript; [n] children/*[2];,self::limupper,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Aliases;limlower;self::underscore;@role="limit function";name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),
+'Aliases;limlower;self::underscore;children/*[2][@role!="underaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),'Aliases;limupper;self::overscore;children/*[2][@role!="overaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),["Rule","limboth-end","default",'[t] "\u2810"; [n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "\u283b"',
+"self::limboth"],["Rule","limlower-end","default",'[t] "\u2810"; [n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "\u283b"',"self::limlower"],["Rule","limupper-end","default",'[t] "\u2810"; [n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "\u283b"',"self::limupper"],["Aliases","limlower-end","self::underscore",'@role="limit function"'],["Aliases","limlower-end","self::underscore"],["Aliases","limupper-end","self::overscore"],["Rule","integral","default","[n] children/*[1]; [n] children/*[2]; [n] children/*[3];",
+"self::integral"],'Rule,integral,default,[n] children/*[1]; [t] "\u2830"; [n] children/*[2];[t] "\u2818"; [n] children/*[3]; [t] "\u2810",self::limboth,@role="integral"'.split(","),["Rule","bigop","default","[n] children/*[1]; [n] children/*[2];","self::bigop"],["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],'Rule,equality,default,[n] children/*[1]; [n] content/*[1]; [n] children/*[2],self::relseq,@role="equality",count(./children/*)=2'.split(","),'Rule;multi-equality;default;[m] children/* (sepFunc:CTXFcontentIterator);self::relseq;@role="equality";count(./children/*)>2'.split(";"),
+["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],["Rule","subscript","default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript"],'Rule,subscript-simple,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(./children/*[1])="identifier",name(./children/*[2])="number",./children/*[2][@role!="mixed"],./children/*[2][@role!="othernumber"],self::*'.split(","),'Rule,subscript-baseline,default,[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose,self::subscript,following-sibling::*,@role!="prefix function",not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup",not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+'Aliases;subscript-baseline;self::subscript;not(following-sibling::*);ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction;not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","subscript-baseline","self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint()],["Aliases","subscript-baseline","self::subscript","not(following-sibling::*)",
+"@embellished"],'Rule,subscript-empty-sup,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="superscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),["Aliases","subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"'],["Rule","superscript","default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript"],
+'Rule,superscript-baseline,default,[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose,self::superscript,following-sibling::*,@role!="prefix function",not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+'Aliases;superscript-baseline;self::superscript;not(following-sibling::*);ancestor::punctuated;ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt"],["Aliases","superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",
+"not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint()],'Aliases superscript-baseline self::superscript not(following-sibling::*) @embellished not(children/*[2][@role="prime"])'.split(" "),'Rule,superscript-empty-sub,default,[n] children/*[1]; [n] children/*[2],self::superscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="subscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),["Aliases","superscript-empty-sub","self::superscript",
+'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"'],'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"]'.split(","),'Rule,prime-subscript,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",not(following-sibling::*)'.split(","),'Rule,prime-subscript-baseline,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose,self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",following-sibling::*'.split(","),
+'Aliases prime-subscript-baseline self::superscript children/*[2][@role="prime"] name(children/*[1])="subscript" not(following-sibling::*) @embellished'.split(" "),'Rule,prime-subscript-simple,default,[n] children/*[1]/children/*[1]; [n] children/*[2];[n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",name(children/*[1]/children/*[1])="identifier",name(children/*[1]/children/*[2])="number",children/*[1]/children/*[2][@role!="mixed"],children/*[1]/children/*[2][@role!="othernumber"]'.split(","),
+'Rule,overscore,default,[t] "\u2810"; [n] children/*[1]; [t] "\u2823"; [n] children/*[2]; [t] "\u283b",self::overscore,children/*[2][@role="overaccent"]'.split(","),'Rule{overscore{default{[n] children/*[1]; [t] "\u2823"; [n] children/*[2]{self::overscore{children/*[2][@role="overaccent"]{contains(@grammar, "modified")'.split("{"),'Rule,double-overscore,default,[t] "\u2810"; [n] children/*[1] (grammar:"modified"); [t] "\u2823"; [n] children/*[2]; [t] "\u283b",self::overscore,children/*[2][@role="overaccent"],name(children/*[1])="overscore",children/*[1]/children/*[2][@role="overaccent"]'.split(","),
+'Rule,underscore,default,[t] "\u2810"; [n] children/*[1]; [t] "\u2829"; [n] children/*[2]; [t] "\u283b",self::underscore,children/*[2][@role="underaccent"]'.split(","),'Rule{underscore{default{[n] children/*[1]; [t] "\u2829"; [n] children/*[2]{self::underscore{children/*[2][@role="underaccent"]{contains(@grammar, "modified")'.split("{"),'Rule,double-underscore,default,[t] "\u2810"; [n] children/*[1] (grammar:"modified"); [t] "\u2829"; [n] children/*[2]; [t] "\u283b",self::underscore,children/*[2][@role="underaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role="underaccent"]'.split(","),
+'Rule,matrix-fence,default,[n] children/*[1];,self::fenced,count(children/*)=1,name(children/*[1])="matrix"'.split(","),["Rule","matrix","default",'[m] children/* (separator:"\u2800", join:"");',"self::matrix"],["Aliases","matrix","self::vector"],["Rule","matrix-row","default",'[n] ../../content/*[1] (grammar:enlargeFence); [m] children/* (separator:"\u2800"); [n] ../../content/*[2] (grammar:enlargeFence); ',"self::row"],["Aliases","matrix-row","self::line",'@role="vector"'],["Aliases","matrix-row",
+"self::line",'@role="binomial"'],'Rule{row-with-label{default{[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column"){self::row{content'.split("{"),'Rule;empty-row;default;[t] "\u2800" (pause:300);self::row;count(children/*)=0'.split(";"),["Rule","matrix-cell","default","[n] children/*[1]","self::cell"],'Rule;empty-cell;default;[t] "\u2800" (pause: 300);self::cell;count(children/*)=0'.split(";"),["Rule","layout","default",'[m] children/* (separator:"\u2800", join:"");',
+"self::table"],["Rule","cases","default",'[n] ../../content/*[1] (grammar:enlargeFence); [m] children/* (separator:"\u2800"); [t] "\u2810"',"self::cases"],["Aliases","layout","self::multiline"],["Rule","line","default","[m] children/*","self::line"],'Rule,line-with-label,default,[t] "with Label"; [n] content/*[1]; [t] "EndLabel" (pause: 200); [m] children/*,self::line,content'.split(","),'Rule;empty-line;default;[t] "\u2800";self::line;count(children/*)=0;not(content)'.split(";"),'Rule,empty-line-with-label,default,[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [t] "Blank",self::line,count(children/*)=0,content'.split(","),
+["Rule","enclose","default",'[t] "StartEnclose"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "EndEnclose"',"self::enclose"],'Rule,overbar,default,[t] "\u2810"; [n] children/*[1]; [t] "\u2823\u2831\u283b",self::enclose,@role="top"'.split(","),'Rule,underbar,default,[t] "\u2810"; [n] children/*[1]; [t] "\u2829\u2831\u283b",self::enclose,@role="bottom"'.split(","),'Rule,leftbar,default,[t] "\u2833"; [n] children/*[1],self::enclose,@role="left"'.split(","),'Rule,rightbar,default,[n] children/*[1]; [t] "\u2833",self::enclose,@role="right"'.split(","),
+'Rule,crossout,default,[t] "\u282a"; [n] children/*[1]; [t] "\u283b",self::enclose,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),'Rule,cancel,default,[t] "\u282a"; [n] children/*[1]/children/*[1]; [t] "\u282a"; [n] children/*[2]; [t] "\u283b",self::overscore,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),["Aliases","cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'],
+'Rule,cancel-reverse,default,[t] "\u282a"; [n] children/*[2]/children/*[1]; [t] "\u282a"; [n] children/*[1]; [t] "\u283b",self::overscore,name(children/*[2])="enclose",children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'.split(","),["Aliases","cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'],'Rule;end-punct;default;[m] children/*;self::punctuated;@role="endpunct"'.split(";"),
+'Rule,start-punct,default,[n] content/*[1]; [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule{punctuation{default{[n] text(); [t] "\u2810"{self::punctuation{@role="fullstop"{contains(@annotation, "nemeth:number")'.split("{"),'Rule,integral-punct,default,[n] children/*[1]; [n] children/*[3],self::punctuated,@role="integral"'.split(","),["Rule","punctuated","default","[m] children/*","self::punctuated"],'Rule,punctuation-comma,default,[n] text(); [t] "\u2800",self::punctuation,parent::*/parent::punctuated,following-sibling::*,@role!="fullstop"'.split(","),
+'Rule,punctuation-ellipses,default,[t] "\u2800"; [n] text(); [t] "\u2800",self::punctuation,parent::*/parent::punctuated,following-sibling::*,@role="ellipsis",name(preceding-sibling::*[1])!="punctuation"'.split(","),'Rule,punctuation-ellipses,default,[t] "\u2800"; [n] text();,self::punctuation,parent::*/parent::punctuated,@role="ellipsis",name(preceding-sibling::*[1])!="punctuation"'.split(","),'Rule,reference-sign,default,[n] children/*[1]; [n] children/*[2],self::superscript,name(children/*[1])="text" or (name(children/*[1])="punctuated" and children/*[1][@role="text"]),name(children/*[2])="operator" or name(children/*[2])="punctuation"'.split(","),
+'Rule,reference-number,default,[n] children/*[1]; [t] "\u2808\u283b"; [n] children/*[2]; [t] "\u2810",self::superscript,name(children/*[1])="text" or (name(children/*[1])="punctuated" and children/*[1][@role="text"]),name(children/*[2])="number",children/*[2][@role="integer"]'.split(",")],initialize:[sre.NemethUtil.generateTensorRules,sre.NemethUtil.addAnnotators]};sre.PrefixFrench={locale:"fr",modality:"prefix",domain:"default",functions:[["CSF","CSFordinalPosition",sre.NumbersUtil.ordinalPosition]],rules:['Rule,numerator,default,[t] "num\u00e9rateur"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=0'.split(","),'Rule,denominator,default,[t] "d\u00e9nominateur"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=1'.split(","),'Rule,base,default,[t] "base"; [p] (pause:200),self::*,name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor" or name(../..)="limlower" or name(../..)="limupper",count(preceding-sibling::*)=0'.split(","),
+'Rule,base-limit,default,[t] "base"; [p] (pause:200),self::*,name(../..)="limboth"'.split(","),'Rule,exponent,default,[t] "exposant"; [p] (pause:200),self::*,name(../..)="superscript",count(preceding-sibling::*)=1'.split(","),'Rule,subscript,default,[t] "indice"; [p] (pause:200),self::*,name(../..)="subscript",count(preceding-sibling::*)=1'.split(","),'Rule,overscript,default,[t] "indice suscrit"; [p] (pause:200),self::*,name(../..)="overscore" or name(../..)="limupper" or name(../..)="limboth",count(preceding-sibling::*)=1 or count(preceding-sibling::*)=2'.split(","),
+'Rule,underscript,default,[t] "indice souscrit"; [p] (pause:200),self::*,name(../..)="underscore" or name(../..)="limlower" or name(../..)="limboth",count(preceding-sibling::*)=1'.split(","),'Rule,radicand,default,[t] "radicande"; [p] (pause:200),self::*,name(../..)="sqrt"'.split(","),'Rule,radicand,default,[t] "radicande"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=1'.split(","),'Rule,index,default,[t] "indice"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=0'.split(","),
+'Rule,leftsub,default,[t] "indice inf\u00e9rieur gauche"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsub"'.split(","),'Rule,leftsub,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "indice inf\u00e9rieur gauche"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsub"'.split(","),'Rule,leftsuper,default,[t] "indice sup\u00e9rieur gauche"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsuper"'.split(","),'Rule,leftsuper,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "indice sup\u00e9rieur gauche"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsuper"'.split(","),
+'Rule,rightsub,default,[t] "indice inf\u00e9rieur droite"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsub"'.split(","),'Rule,rightsub,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "indice inf\u00e9rieur droite"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsub"'.split(","),'Rule,rightsuper,default,[t] "indice sup\u00e9rieur droite"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsuper"'.split(","),'Rule,rightsuper,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "indice sup\u00e9rieur droite"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsuper"'.split(","),
+'Rule,choice,default,[t] "nombre d\'\u00e9l\u00e9ments choisis"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=1'.split(","),'Rule,select,default,[t] "nombre d\'\u00e9l\u00e9ments disponibles"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=0'.split(","),["Rule","row","default",'[t] CSFordinalPosition (grammar:gender="female"); [t] "rang\u00e9e"; [p] (pause:200)',"self::row"],["Aliases","row","self::line"],
+'Rule{cell{default{[n] ../..; [t] CSFordinalPosition (grammar:gender="female"); [t] "colonne"; [p] (pause:200){self::cell{contains(@grammar,"depth")'.split("{"),["Rule","cell","default",'[t] CSFordinalPosition (grammar:gender="female"); [t] "colonne"; [p] (pause:200)',"self::cell"]]};sre.PrefixGerman={modality:"prefix",locale:"de",domain:"default",functions:[["CSF","CSFordinalPosition",sre.NumbersUtil.ordinalPosition]],rules:['Rule,numerator,default,[t] "Z\u00e4hler"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=0'.split(","),'Rule,denominator,default,[t] "Nenner"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=1'.split(","),'Rule,base,default,[t] "Basis"; [p] (pause:200),self::*,name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor",count(preceding-sibling::*)=0'.split(","),
+'Rule,exponent,default,[t] "Exponent"; [p] (pause:200),self::*,name(../..)="superscript",count(preceding-sibling::*)=1'.split(","),'Rule,subscript,default,[t] "Index"; [p] (pause:200),self::*,name(../..)="subscript",count(preceding-sibling::*)=1'.split(","),'Rule,overscript,default,[t] "Oberer Grenzwert"; [p] (pause:200),self::*,name(../..)="overscore",count(preceding-sibling::*)=1'.split(","),'Rule,underscript,default,[t] "Unterer Grenzwert"; [p] (pause:200),self::*,name(../..)="underscore",count(preceding-sibling::*)=1'.split(","),
+'Rule,radicand,default,[t] "Radikand"; [p] (pause:200),self::*,name(../..)="sqrt"'.split(","),'Rule,radicand,default,[t] "Radikand"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=1'.split(","),'Rule,index,default,[t] "Wurzelexponent"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=0'.split(","),'Rule,leftsub,default,[t] "linker unterer Index"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsub"'.split(","),'Rule,leftsub,default,[t] CSFordinalPosition; [t] "linker unterer Index"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsub"'.split(","),
+'Rule,leftsuper,default,[t] "linker oberer Index"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsuper"'.split(","),'Rule,leftsuper,default,[t] CSFordinalPosition; [t] "linker oberer Index"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsuper"'.split(","),'Rule,rightsub,default,[t] "rechter unterer Index"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsub"'.split(","),'Rule,rightsub,default,[t] CSFordinalPosition; [t] "rechter unterer Index"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsub"'.split(","),
+'Rule,rightsuper,default,[t] "rechter oberer Index"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsuper"'.split(","),'Rule,rightsuper,default,[t] CSFordinalPosition; [t] "rechter oberer Index"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsuper"'.split(","),'Rule,choice,default,[t] "Grundgesamtheit"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=0'.split(","),'Rule,select,default,[t] "Stichprobengr\u00f6\u00dfe"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=1'.split(","),
+["Rule","row","default",'[t] CSFordinalPosition; [t] "Zeile"; [p] (pause:200)',"self::row"],["Aliases","row","self::line"],'Rule{cell{default{[n] ../..; [t] CSFordinalPosition; [t] "Spalte"; [p] (pause:200){self::cell{contains(@grammar,"depth")'.split("{"),["Rule","cell","default",'[t] CSFordinalPosition; [t] "Spalte"; [p] (pause:200)',"self::cell"]]};sre.PrefixRules={modality:"prefix",domain:"default",functions:[["CSF","CSFordinalPosition",sre.NumbersUtil.ordinalPosition]],rules:['Rule,numerator,default,[t] "Numerator"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=0'.split(","),'Rule,denominator,default,[t] "Denominator"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=1'.split(","),'Rule,base,default,[t] "Base"; [p] (pause:200),self::*,name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor",count(preceding-sibling::*)=0'.split(","),
+'Rule,exponent,default,[t] "Exponent"; [p] (pause:200),self::*,name(../..)="superscript",count(preceding-sibling::*)=1'.split(","),'Rule,subscript,default,[t] "Subscript"; [p] (pause:200),self::*,name(../..)="subscript",count(preceding-sibling::*)=1'.split(","),'Rule,overscript,default,[t] "Overscript"; [p] (pause:200),self::*,name(../..)="overscore",count(preceding-sibling::*)=1'.split(","),'Rule,underscript,default,[t] "Underscript"; [p] (pause:200),self::*,name(../..)="underscore",count(preceding-sibling::*)=1'.split(","),
+'Rule,radicand,default,[t] "Radicand"; [p] (pause:200),self::*,name(../..)="sqrt"'.split(","),'Rule,radicand,default,[t] "Radicand"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=1'.split(","),'Rule,index,default,[t] "Index"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=0'.split(","),'Rule,leftsub,default,[t] "Left Subscript"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsub"'.split(","),'Rule,leftsub,default,[t] CSFordinalPosition; [t] "Left Subscript"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsub"'.split(","),
+'Rule,leftsuper,default,[t] "Left Superscript"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsuper"'.split(","),'Rule,leftsuper,default,[t] CSFordinalPosition; [t] "Left Superscript"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsuper"'.split(","),'Rule,rightsub,default,[t] "Right Subscript"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsub"'.split(","),'Rule,rightsub,default,[t] CSFordinalPosition; [t] "Right Subscript"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsub"'.split(","),
+'Rule,rightsuper,default,[t] "Right Superscript"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsuper"'.split(","),'Rule,rightsuper,default,[t] CSFordinalPosition; [t] "Right Superscript"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsuper"'.split(","),'Rule,choice,default,[t] "Choice Quantity"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=0'.split(","),'Rule,select,default,[t] "Selection Quantity"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=1'.split(","),
+["Rule","row","default",'[t] CSFordinalPosition; [t] "Row"; [p] (pause:200)',"self::row"],["Aliases","row","self::line"],'Rule{cell{default{[n] ../..; [t] CSFordinalPosition; [t] "Column"; [p] (pause:200){self::cell{contains(@grammar,"depth")'.split("{"),["Rule","cell","default",'[t] CSFordinalPosition; [t] "Column"; [p] (pause:200)',"self::cell"]]};sre.PrefixSpanish={locale:"es",modality:"prefix",domain:"default",functions:[["CSF","CSFordinalPosition",sre.NumbersUtil.ordinalPosition]],rules:['Rule,numerator,default,[t] "numerador"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=0'.split(","),'Rule,denominator,default,[t] "denominador"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=1'.split(","),'Rule,base,default,[t] "base"; [p] (pause:200),self::*,name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor",count(preceding-sibling::*)=0'.split(","),
+'Rule,exponent,default,[t] "exponente"; [p] (pause:200),self::*,name(../..)="superscript",count(preceding-sibling::*)=1'.split(","),'Rule,subscript,default,[t] "sub\u00edndice"; [p] (pause:200),self::*,name(../..)="subscript",count(preceding-sibling::*)=1'.split(","),'Rule,overscript,default,[t] "sobre\u00edndice"; [p] (pause:200),self::*,name(../..)="overscore",count(preceding-sibling::*)=1'.split(","),'Rule,underscript,default,[t] "bajo\u00edndice"; [p] (pause:200),self::*,name(../..)="underscore",count(preceding-sibling::*)=1'.split(","),
+'Rule,radicand,default,[t] "radicand"; [p] (pause:200),self::*,name(../..)="sqrt"'.split(","),'Rule,radicand,default,[t] "radicand"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=1'.split(","),'Rule,index,default,[t] "\u00edndice"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=0'.split(","),'Rule,leftsub,default,[t] "sub\u00edndice izquierdo"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsub"'.split(","),'Rule,leftsub,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "sub\u00edndice izquierdo"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsub"'.split(","),
+'Rule,leftsuper,default,[t] "super\u00edndice izquierdo"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsuper"'.split(","),'Rule,leftsuper,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "super\u00edndice izquierdo"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsuper"'.split(","),'Rule,rightsub,default,[t] "sub\u00edndice derecho"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsub"'.split(","),'Rule,rightsub,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "sub\u00edndice derecho"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsub"'.split(","),
+'Rule,rightsuper,default,[t] "super\u00edndice derecho"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsuper"'.split(","),'Rule,rightsuper,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "super\u00edndice derecho"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsuper"'.split(","),'Rule,choice,default,[t] "cantidad de elecci\u00f3n"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=0'.split(","),
+'Rule,select,default,[t] "cantidad de selecci\u00f3n"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=1'.split(","),["Rule","row","default",'[t] CSFordinalPosition (grammar:gender="female"); [t] "fila"; [p] (pause:200)',"self::row"],["Aliases","row","self::line"],'Rule{cell{default{[n] ../..; [t] CSFordinalPosition (grammar:gender="female"); [t] "columna"; [p] (pause:200){self::cell{contains(@grammar,"depth")'.split("{"),["Rule","cell","default",'[t] CSFordinalPosition (grammar:gender="female"); [t] "columna"; [p] (pause:200)',
+"self::cell"]]};sre.SemanticTreeRules={domain:"default",functions:[["CTXF","CTXFnodeCounter",sre.StoreUtil.nodeCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator]],rules:['Rule{collapsed{default{[t] "collapsed"; [n] . (engine:modality=summary,grammar:collapsed){self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),["Rule","stree","default","[n] ./*[1]","self::stree"],'Rule;factorial;default;[t] "factorial";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),
+["Rule","multrel","default",'[t] "multirelation"; [m] children/* (sepFunc:CTXFcontentIterator)',"self::multirel"],'Rule{variable-equality{default{[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator){self::relseq[@role="equality"]{count(./children/*)>2{./children/punctuation[@role="ellipsis"]'.split("{"),'Rule{multi-equality{default{[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator){self::relseq[@role="equality"]{count(./children/*)>2'.split("{"),
+'Rule,equality,default,[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2],self::relseq[@role="equality"],count(./children/*)=2'.split(","),'Rule,simple-equality,default,[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2],self::relseq[@role="equality"],count(./children/*)=2,./children/identifier or ./children/number'.split(","),'Rule,simple-equality2,default,[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2],self::relseq[@role="equality"],count(./children/*)=2,./children/function or ./children/appl'.split(","),
+["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule,variable-addition,default,[t] "sum with variable number of summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator),self::infixop[@role="addition"],count(children/*)>2,children/punctuation[@role="ellipsis"]'.split(","),'Rule,multi-addition,default,[t] "sum with"; [t] count(./children/*); [t] "summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator),self::infixop[@role="addition"],count(./children/*)>2'.split(","),
+["Rule","prefix","default",'[t] "prefix"; [m] content/* (pause 150);[n] children/*[1]',"self::prefixop"],'Rule,negative,default,[t] "negative"; [n] children/*[1],self::prefixop,self::prefixop[@role="negative"]'.split(","),["Rule","postfix","default",'[n] children/*[1]; [t] "postfix"; [m] content/* (pause 300)',"self::postfixop"],["Rule","identifier","default","[n] text()","self::identifier"],["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "and"; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),
+'Rule{font{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier-short{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{not(contains(@grammar, "ignoreFont")){@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),["Rule","fraction","default",'[p] (pause:250); [n] children/*[1] (rate:0.35); [p] (pause:250); [t] "divided by"; [n] children/*[2] (rate:-0.35); [p] (pause:400)',
+"self::fraction"],["Rule","superscript","default",'[n] children/*[1]; [t] "super"; [n] children/*[2] (pitch:0.35);[p] (pause:300)',"self::superscript"],["Rule","subscript","default",'[n] children/*[1]; [t] "sub"; [n] children/*[2] (pitch:-0.35);[p] (pause:300)',"self::subscript"],'Rule,ellipsis,default,[p] (pause:200); [t] "ellipsis"; [p] (pause:300),self::punctuation,self::punctuation[@role="ellipsis"]'.split(","),'Rule;fence-single;default;[n] text();self::punctuation;self::punctuation[@role="openfence"]'.split(";"),
+["Aliases","fence-single","self::punctuation",'self::punctuation[@role="closefence"]'],["Aliases","fence-single","self::punctuation",'self::punctuation[@role="vbar"]'],["Aliases","fence-single","self::punctuation",'self::punctuation[@role="application"]'],["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule,fences-open-close,default,[p] (pause:100); [n] content/*[1]; [n] children/*[1]; [n] content/*[2]; [p] (pause:100),self::fenced,@role="leftright"'.split(","),'Rule,fences-open-close-in-appl,default,[p] (pause:200); [n] children/*[1]; [p] (pause:200);,self::fenced[@role="leftright"],./parent::children/parent::appl'.split(","),
+'Rule,fences-neutral,default,[p] (pause:100); [t] "absolute value of"; [n] children/*[1];[p] (pause:350);,self::fenced,self::fenced[@role="neutral"]'.split(","),["Rule","omit-fences","default","[p] (pause:500); [n] children/*[1]; [p] (pause:200);","self::fenced"],["Rule","matrix","default",'[t] "matrix"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::matrix"],["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)','self::row[@role="matrix"]'],
+["Rule","matrix-cell","default","[n] children/*[1]",'self::cell[@role="matrix"]'],["Rule","vector","default",'[t] "vector"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"element",pause:100)',"self::vector"],["Rule","cases","default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100)',"self::cases"],["Rule","cases-row","default","[m] children/*",'self::row[@role="cases"]'],["Rule","cases-cell","default","[n] children/*[1]",'self::cell[@role="cases"]'],["Rule",
+"row","default",'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',"self::row"],'Rule{cases-end{default{[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100);[t] "end cases"{self::cases{following-sibling::*'.split("{"),["Rule","multiline","default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"line",pause:100)',"self::multiline"],'Rule{multiline-ineq{default{[t] "multiline inequality";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100){self::multiline{@role="inequality"'.split("{"),
+["Rule","line","default","[m] children/*","self::line"],["Rule","table","default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table"],'Rule{table-ineq{default{[t] "multiline inequality";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200){self::table{@role="inequality"'.split("{"),["Rule","table-row","default","[m] children/* (pause:100)",'self::row[@role="table"]'],["Aliases","cases-cell",'self::cell[@role="table"]'],'Rule;empty-cell;default;[t] "Blank";self::cell;count(children/*)=0'.split(";"),
+'Rule,end-punct,default,[m] children/*; [p] (pause:300),self::punctuated,@role="endpunct"'.split(","),'Rule,start-punct,default,[n] content/*[1]; [p] (pause:200); [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule,integral-punct,default,[n] children/*[1] (rate:0.2); [n] children/*[3] (rate:0.2),self::punctuated,@role="integral"'.split(","),["Rule","punctuated","default","[m] children/* (pause:100)","self::punctuated"],["Rule","function","default","[n] text()","self::function"],
+["Rule","appl","default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::appl"],'Rule,sum-only,default,[n] children/*[1]; [t] "from"; [n] children/*[2]; [t] "to";[n] children/*[3],self::limboth,self::limboth[@role="sum"]'.split(","),["Rule","limboth","default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[t] "under"; [n] children/*[3]; [p] (pause 250);',"self::limboth"],["Rule","limlower","default",'[n] children/*[1]; [t] "over"; [n] children/*[2];',"self::limlower"],
+["Rule","limupper","default",'[n] children/*[1]; [t] "under"; [n] children/*[2];',"self::limupper"],["Rule","largeop","default","[n] text()","self::largeop"],["Rule","bigop","default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[p] (pause 250);',"self::bigop"],["Rule","integral","default","[n] children/*[1]; [p] (pause 100); [n] children/*[2];[p] (pause 200); [n] children/*[3] (rate:0.35);","self::integral"],["Rule","sqrt","default",'[t] "Square root of"; [n] children/*[1] (rate:0.35); [p] (pause:400)',
+"self::sqrt"],'Rule,square,default,[n] children/*[1]; [t] "squared" (pitch:0.35); [p] (pause:300),self::superscript,children/*[2][text()=2],name(./children/*[1])!="text"'.split(","),'Rule,cube,default,[n] children/*[1]; [t] "cubed" (pitch:0.35); [p] (pause:300),self::superscript,children/*[2][text()=3],name(./children/*[1])!="text"'.split(","),["Rule","root","default",'[t] "root of order"; [n] children/*[1];[t] "over"; [n] children/*[2] (rate:0.35); [p] (pause:400)',"self::root"],["Rule","text","default",
+"[n] text(); [p] (pause:200)","self::text"],'Rule;unit;default;[t] text() (grammar:annotation="unit":translate:plural);self::identifier;@role="unit"'.split(";"),'Rule,unit-square,default,[t] "square"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=2],name(children/*[1])="identifier"'.split(","),'Rule,unit-cubic,default,[t] "cubic"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=3],name(children/*[1])="identifier"'.split(","),'Rule,reciprocal,default,[t] "reciprocal"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]'.split(","),
+'Rule,reciprocal,default,[t] "per"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],preceding-sibling::*[@role="unit"]'.split(","),'Rule;unit-combine;default;[m] children/*;self::infixop;@role="unit"'.split(";"),'Rule,unit-divide,default,[n] children/*[1] (pitch:0.3); [t] "per"; [n] children/*[2] (pitch:-0.3),self::fraction,@role="unit"'.split(",")]};sre.SummaryFrench={locale:"fr",modality:"summary",rules:[["Rule","collapsed-masculine","default.masculine",'[t] "compress\u00e9"','contains(@grammar, "collapsed")'],["Rule","collapsed-feminine","default.feminine",'[t] "compress\u00e9e"','contains(@grammar, "collapsed")'],["Rule","no-collapsed","default.masculine",'[t] ""','not(contains(@grammar, "collapsed"))'],["Rule","no-collapsed","default.feminine",'[t] ""','not(contains(@grammar, "collapsed"))'],["Rule","stree","default.default","[n] ./*[1]",
+"self::stree"],'Rule{abstr-identifier{default.default{[t] "identifiant long"; [n] . (engine:style=masculine){self::identifier{contains(@grammar, "collapsed")'.split("{"),["Rule","abstr-identifier","default.default",'[t] "identifiant"; [n] . (engine:style=masculine)',"self::identifier"],'Rule{abstr-number{default.default{[t] "nombre long"; [n] . (engine:style=masculine){self::number{contains(@grammar, "collapsed")'.split("{"),["Rule","abstr-number","default.default",'[t] "nombre"; [n] . (engine:style=masculine)',
+"self::number"],'Rule{abstr-mixed-number{default.default{[t] "nombre fractionnaire long"; [n] . (engine:style=masculine){self::number{@role="mixed"{contains(@grammar, "collapsed")'.split("{"),'Rule,abstr-mixed-number,default.default,[t] "nombre fractionnaire"; [n] . (engine:style=masculine),self::number,@role="mixed"'.split(","),["Rule","abstr-text","default.default",'[t] "texte"; [n] . (engine:style=masculine)',"self::text"],["Rule","abstr-function","default.default",'[t] "expression fonctionnelle"; [n] . (engine:style=feminine)',
+"self::function"],["Rule","abstr-function","mathspeak.brief",'[t] "fonction"; [n] . (engine:style=feminine)',"self::function"],["SpecializedRule","abstr-function","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-lim,default.default,[t] "fonction de limitation"; [n] . (engine:style=feminine),self::function,@role="limit function"'.split(","),'Rule,abstr-lim,mathspeak.brief,[t] "lim"; [n] . (engine:style=feminine),self::function,@role="limit function"'.split(","),["SpecializedRule","abstr-lim","mathspeak.brief",
+"mathspeak.sbrief"],["Rule","abstr-fraction","default.default",'[t] "fraction"; [n] . (engine:style=feminine)',"self::fraction"],["Rule","abstr-fraction","mathspeak.brief",'[t] "frac"; [n] . (engine:style=feminine)',"self::fraction"],["SpecializedRule","abstr-fraction","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-continued-fraction,default.default,[t] "fraction continue"; [n] . (engine:style=feminine),self::fraction,children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(","),'Rule,abstr-continued-fraction,mathspeak.brief,[t] "frac continue"; [n] . (engine:style=feminine),self::fraction,children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(","),
+["SpecializedRule","abstr-continued-fraction","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-sqrt","default.default",'[t] "racine carr\u00e9e"; [n] . (engine:style=feminine)',"self::sqrt"],'Rule,abstr-sqrt-nested,default.default,[t] "racine carr\u00e9e imbriqu\u00e9e"; [n] . (engine:style=feminine),self::sqrt,children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(","),'Rule{abstr-root{default.default{[t] "racine d\'indice"; [n] children/*[1] (engine:modality="speech"); [t] "fin indice"; [n] . (engine:style=feminine);{self::root{contains(@grammar, "collapsed"){following-sibling::* or ancestor::*/following-sibling::*'.split("{"),
+["Rule","abstr-root","default.default",'[t] "racine d\'indice"; [n] children/*[1] (engine:modality=speech); [n] . (engine:style=feminine)',"self::root"],["Rule","abstr-root","mathspeak.brief",'[t] "racine"; [n] . (engine:style=feminine)',"self::root"],["SpecializedRule","abstr-root","mathspeak.brief","mathspeak.sbrief"],'Rule{abstr-root-nested{default.default{[t] "racine imbriqu\u00e9e d\'indice"; [n] children/*[1] (engine:modality=speech); [t] "fin indice"; [n] . (engine:style=feminine);{self::root{contains(@grammar, "collapsed"){children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root{following-sibling::* or ancestor::*/following-sibling::*'.split("{"),
+'Rule,abstr-root-nested,default.default,[t] "racine imbriqu\u00e9e d\'indice"; [n] children/*[1] (engine:modality=speech); [n] . (engine:style=feminine),self::root,children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(","),'Rule,abstr-root-nested,mathspeak.brief,[t] "racine imbriqu\u00e9e"; [n] . (engine:style=feminine),self::root,children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(","),["SpecializedRule","abstr-root-nested","mathspeak.brief",
+"mathspeak.sbrief"],["Rule","abstr-superscript","default.default",'[t] "puissance"; [n] . (engine:style=feminine)',"self::superscript"],["Rule","abstr-subscript","default.default",'[t] "indice"; [n] . (engine:style=masculine)',"self::subscript"],'Rule,abstr-subsup,default.default,[t] "puissance avec index"; [n] . (engine:style=feminine),self::superscript,name(children/*[1])="subscript"'.split(","),["Rule","abstr-infixop","default.default",'[t] @role (grammar:localRole); [t] "avec"; [t] count(./children/*); [t] "\u00e9l\u00e9ments"; [n] . (engine:style=masculine)',
+"self::infixop"],'Rule,abstr-infixop,default.default,[t] @role (grammar:localRole); [t] "avec un nombre d\'\u00e9l\u00e9ments variable"; [n] . (engine:style=masculine),self::infixop,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),["Rule","abstr-infixop","mathspeak.brief","[t] @role (grammar:localRole); [n] . (engine:style=masculine)","self::infixop"],["SpecializedRule","abstr-infixop","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-addition,default.default,[t] "somme avec"; [t] count(./children/*); [t] "op\u00e9randes"; [n] . (engine:style=feminine),self::infixop,@role="addition"'.split(","),
+'Rule,abstr-addition,mathspeak.brief,[t] "somme"; [n] . (engine:style=feminine),self::infixop,@role="addition"'.split(","),["SpecializedRule","abstr-addition","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-addition,default.default,[t] "somme avec un nombre variable d\'op\u00e9randes"; [n] . (engine:style=feminine),self::infixop,@role="addition",count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),'Rule,abstr-multiplication,default.default,[t] "produit avec"; [t] count(./children/*); [t] "facteurs"; [n] . (engine:style=masculine);,self::infixop,@role="multiplication"'.split(","),
+'Rule,abstr-multiplication,mathspeak.brief,[t] "produit"; [n] . (engine:style=masculine),self::infixop,@role="multiplication"'.split(","),["SpecializedRule","abstr-multiplication","mathspeak.brief","mathspeak.sbrief"],["Aliases","abstr-multiplication","self::infixop",'@role="implicit"'],'Rule,abstr-var-multiplication,default.default,[t] "produit avec un nombre de facteurs variable"; [n] . (engine:style=masculine),self::infixop,@role="multiplication",count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),
+'Aliases abstr-var-multiplication self::infixop @role="implicit" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),["Rule","abstr-vector","default.default",'[t] "vecteur de dimension"; [t] count(./children/*); [n] . (engine:style=masculine)',"self::vector"],["Rule","abstr-vector","mathspeak.brief",'[t] "vecteur"; [n] . (engine:style=masculine)',"self::vector"],["SpecializedRule","abstr-vector","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-vector,default.default,[t] "vecteur colonne de dimension n"; [n] . (engine:style=masculine),self::vector,./children/*/children/punctuation[@role="ellipsis"]'.split(","),
+'Rule,abstr-binomial,default.default,[t] "binomial"; [n] . (engine:style=masculine),self::vector,@role="binomial"'.split(","),["SpecializedRule","abstr-binomial","default.default","mathspeak.brief"],["SpecializedRule","abstr-binomial","default.default","mathspeak.sbrief"],'Rule,abstr-determinant,default.default,[t] "d\u00e9terminant de dimension"; [t] count(./children/*); [n] . (engine:style=masculine),self::matrix,@role="determinant"'.split(","),'Rule,abstr-determinant,mathspeak.brief,[t] "d\u00e9terminant"; [n] . (engine:style=masculine),self::matrix,@role="determinant"'.split(","),
+["SpecializedRule","abstr-determinant","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-determinant,default.default,[t] "d\u00e9terminant de dimension n"; [n] . (engine:style=masculine),self::matrix,@role="determinant",./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(","),'Rule,abstr-squarematrix,default.default,[t] "matrice carr\u00e9e de dimension"; [t] count(./children/*); [n] . (engine:style=feminine),self::matrix,@role="squarematrix"'.split(","),'Rule,abstr-squarematrix,mathspeak.brief,[t] "matrice carr\u00e9e"; [n] . (engine:style=feminine),self::matrix,@role="squarematrix"'.split(","),
+["SpecializedRule","abstr-squarematrix","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-rowvector,default.default,[t] "vecteur ligne de dimension"; [t] count(./children/row/children/*); [n] . (engine:style=masculine),self::matrix,@role="rowvector"'.split(","),'Rule,abstr-rowvector,mathspeak.brief,[t] "vecteur ligne"; [n] . (engine:style=masculine),self::matrix,@role="rowvector"'.split(","),["SpecializedRule","abstr-rowvector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "vecteur ligne de dimension n";self::matrix;@role="rowvector";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+["Rule","abstr-matrix","default.default",'[t] "matrice"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [n] . (engine:style=feminine)',"self::matrix"],["Rule","abstr-matrix","mathspeak.brief",'[t] "matrice"; [n] . (engine:style=feminine)',"self::matrix"],["SpecializedRule","abstr-matrix","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-matrix,default.default,[t] "matrice de dimension n par m"; [n] . (engine:style=feminine),self::matrix,./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(","),
+["Rule","abstr-cases","default.default",'[t] "d\u00e9claration de cas";[t] "avec"; [t] count(children/*); [t] "cas"; [n] . (engine:style=feminine)',"self::cases"],["Rule","abstr-cases","mathspeak.brief",'[t] "d\u00e9claration de cas"; [n] . (engine:style=feminine)',"self::cases"],["SpecializedRule","abstr-cases","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-cases,default.default,[t] "d\u00e9claration de cas variable"; [n] . (engine:style=feminine),self::cases,./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]'.split(","),
+["Rule","abstr-punctuated","default.default",'[t] "liste de longueur"; [t] count(children/*) - count(content/*); [t] "s\u00e9par\u00e9e par des"; [n] content/*[1] (join:""); [t] "s"; [n] . (engine:style=feminine)',"self::punctuated"],["Rule","abstr-punctuated","mathspeak.brief",'[t] "liste s\u00e9par\u00e9e par des"; [n] content/*[1] (join:""); [t] "s"; [n] . (engine:style=feminine)',"self::punctuated"],["SpecializedRule","abstr-punctuated","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-punctuated,default.default,[t] "liste de longueur variable s\u00e9par\u00e9e par des"; [n] content/*[1] (join:""); [t] "s"; [n] . (engine:style=feminine),self::punctuated,./children/punctuation[@role="ellipsis"]'.split(","),
+["Rule","abstr-bigop","default.default","[n] content/*[1]; [n] . (engine:style=masculine)","self::bigop"],["Rule","abstr-integral","default.default",'[t] "int\u00e9grale"; [n] . (engine:style=feminine)','@role="integral"'],"Rule,abstr-relation,default.default,[t] @role (grammar:localRole); [n] . (engine:style=masculine);,self::relseq,count(./children/*)=2".split(","),'Rule,abstr-relation-seq,default.default,[t] @role (grammar:localRole); [t] "s\u00e9quence"; [t] "avec"; [t] count(./children/*); [t] "\u00e9l\u00e9ments"; [n] . (engine:style=feminine),self::relseq,count(./children/*)>2'.split(","),
+'Rule,abstr-relation-seq,mathspeak.brief,[t] @role (grammar:localRole); [t] "s\u00e9quence"; [n] . (engine:style=feminine),self::relseq,count(./children/*)>2'.split(","),["SpecializedRule","abstr-relation-seq","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-relation,default.default,[t] @role (grammar:localRole); [t] "s\u00e9quence"; [t] "avec un nombre de \u00e9l\u00e9ments variable"; [n] . (engine:style=feminine),self::relseq,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),
+'UniqueAlias abstr-relation default.default self::multirel @role!="unknown" count(./children/*)>2'.split(" "),'Aliases abstr-var-relation self::multirel @role!="unknown" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),'Rule,abstr-multirel,default.default,[t] "s\u00e9quence de relation"; [t] "avec"; [t] count(./children/*); [t] "\u00e9l\u00e9ments"; [n] . (engine:style=feminine),self::multirel,count(./children/*)>2'.split(","),'Rule,abstr-multirel,mathspeak.brief,[t] "s\u00e9quence de relation"; [n] . (engine:style=feminine),self::multirel,count(./children/*)>2'.split(","),
+["SpecializedRule","abstr-multirel","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-multirel,default.default,[t] "s\u00e9quence de relation avec un nombre de \u00e9l\u00e9ments variable"; [n] . (engine:style=feminine),self::multirel,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),["Rule","abstr-table","default.default",'[t] "table avec"; [t] count(children/*); [t] "lignes et";[t] count(children/*[1]/children/*); [t] "colonnes"; [n] . (engine:style=feminine);',"self::table"],
+["Rule","abstr-line","default.default",'[t] "dans"; [t] @role (grammar:localRole); [n] . (engine:style=masculine)',"self::line"],["Rule","abstr-row","default.default",'[t] "dans"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "avec";[t] count(children/*); [t] "colonnes"; [n] . (engine:style=feminine)',"self::row"],["Rule","abstr-cell","default.default",'[t] "dans"; [t] @role (grammar:localRole); [n] . (engine:style=feminine);',"self::cell"]]};sre.SummaryGerman={modality:"summary",locale:"de",rules:['Rule;abstr-identifier;default.default;[t] "langer Bezeichner";self::identifier;contains(@grammar, "collapsed")'.split(";"),["Rule","abstr-identifier","default.default",'[t] "Bezeichner"',"self::identifier"],'Rule;abstr-number;default.default;[t] "lange Zahl";self::number;contains(@grammar, "collapsed")'.split(";"),["Rule","abstr-number","default.default",'[t] "Zahl"',"self::number"],'Rule;abstr-mixed-number;default.default;[t] "langer gemischter Bruch";self::number;@role="mixed";contains(@grammar, "collapsed")'.split(";"),
+'Rule;abstr-mixed-number;default.default;[t] "gemischter Bruch";self::number;@role="mixed"'.split(";"),["Rule","abstr-text","default.default",'[t] "Text"',"self::text"],["Rule","abstr-function","default.default",'[t] "Funktionsausdruck"',"self::function"],["Rule","abstr-function","mathspeak.brief",'[t] "Funktion"',"self::function"],["SpecializedRule","abstr-function","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-lim;default.default;[t] "Grenzwertfunktion";self::function;@role="limit function"'.split(";"),
+'Rule;abstr-lim;mathspeak.brief;[t] "Grenzwert";self::function;@role="limit function"'.split(";"),["SpecializedRule","abstr-lim","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-fraction","default.default",'[t] "Bruch"',"self::fraction"],'Rule;abstr-continued-fraction;default.default;[t] "Kettenbruch";self::fraction;children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(";"),["Rule","abstr-sqrt","default.default",'[t] "Quadratwurzel"',"self::sqrt"],'Rule;abstr-sqrt-nested;default.default;[t] "verschachtelte Quadratwurzel";self::sqrt;children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(";"),
+'Rule{abstr-root{default.default{[t] "Wurzel mit Exponent"; [n] children/*[1] (engine:modality=speech); [t] "Exponentende"{self::root{contains(@grammar, "collapsed"){following-sibling::* or ancestor::*/following-sibling::*'.split("{"),["Rule","abstr-root","default.default",'[t] "Wurzel mit Exponent"; [n] children/*[1] (engine:modality=speech)',"self::root"],["Rule","abstr-root","mathspeak.brief",'[t] "Wurzel"',"self::root"],["SpecializedRule","abstr-root","mathspeak.brief","mathspeak.sbrief"],'Rule{abstr-root-nested{default.default{[t] "verschachtelte Wurzel mit Wurzelexponent"; [n] children/*[1] (engine:modality="speech"); [t] "Ende Wurzelexponent"{self::root{contains(@grammar, "collapsed"){children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root{following-sibling::* or ancestor::*/following-sibling::*'.split("{"),
+'Rule,abstr-root-nested,default.default,[t] "verschachtelte Wurzel mit Exponent"; [n] children/*[1] (engine:modality="speech"),self::root,children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(","),'Rule;abstr-root-nested;mathspeak.brief;[t] "verschachtelte Wurzel";self::root;children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(";"),["SpecializedRule","abstr-root-nested","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-superscript","default.default",
+'[t] "Potenz"',"self::superscript"],["Rule","abstr-subscript","default.default",'[t] "Index"',"self::subscript"],'Rule;abstr-subsup;default.default;[t] "Potenz mit Index";self::superscript;name(children/*[1])="subscript"'.split(";"),["Rule","abstr-infixop","default.default",'[t] @role (grammar:localRole); [t] "mit"; [t] count(./children/*); [t] "Elementen"',"self::infixop"],'Rule,abstr-infixop,default.default,[t] @role (grammar:localRole); [t] "mit ver\u00e4nderlicher Anzahl an Elementen",self::infixop,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),
+["Rule","abstr-infixop","mathspeak.brief","[t] @role (grammar:localRole)","self::infixop"],["SpecializedRule","abstr-infixop","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-addition,default.default,[t] "Summe mit"; [t] count(./children/*); [t] "Summanden",self::infixop,@role="addition"'.split(","),'Rule;abstr-addition;mathspeak.brief;[t] "Summe";self::infixop;@role="addition"'.split(";"),["SpecializedRule","abstr-addition","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-addition;default.default;[t] "Summe mit ver\u00e4nderlicher Anzahl an Summanden";self::infixop;@role="addition";count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+'Rule,abstr-multiplication,default.default,[t] "Produkt mit"; [t] count(./children/*); [t] "Faktoren",self::infixop,@role="multiplication"'.split(","),'Rule;abstr-multiplication;mathspeak.brief;[t] "Produkt";self::infixop;@role="multiplication"'.split(";"),["SpecializedRule","abstr-multiplication","mathspeak.brief","mathspeak.sbrief"],["Aliases","abstr-multiplication","self::infixop",'@role="implicit"'],'Rule;abstr-var-multiplication;default.default;[t] "Produkt mit ver\u00e4nderlicher Anzahl an Faktoren";self::infixop;@role="multiplication";count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+'Aliases abstr-var-multiplication self::infixop @role="implicit" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),["Rule","abstr-vector","default.default",'[t] count(./children/*) ; [t] "dimensionaler Vektor"',"self::vector"],["Rule","abstr-vector","mathspeak.brief",'[t] "Vektor"',"self::vector"],["SpecializedRule","abstr-vector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-vector;default.default;[t] "n dimensionaler Vektor";self::vector;./children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+'Rule;abstr-binomial;default.default;[t] "Binomialkoeffizient";self::vector;@role="binomial"'.split(";"),["SpecializedRule","abstr-binomial","default.default","mathspeak.brief"],["SpecializedRule","abstr-binomial","default.default","mathspeak.sbrief"],'Rule,abstr-determinant,default.default,[t] count(./children/*); [t] "dimensionale Determinante",self::matrix,@role="determinant"'.split(","),'Rule;abstr-determinant;mathspeak.brief;[t] "Determinante";self::matrix;@role="determinant"'.split(";"),["SpecializedRule",
+"abstr-determinant","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-determinant;default.default;[t] "n dimensionale Determinante";self::matrix;@role="determinant";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),'Rule,abstr-squarematrix,default.default,[t] count(./children/*); [t] "dimensionale quadratische Matrize",self::matrix,@role="squarematrix"'.split(","),'Rule;abstr-squarematrix;mathspeak.brief;[t] "quadratische Matrize";self::matrix;@role="squarematrix"'.split(";"),
+["SpecializedRule","abstr-squarematrix","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-rowvector,default.default,[t] count(./children/row/children/*); [t] "dimensionaler Zeilenvektor",self::matrix,@role="rowvector"'.split(","),'Rule;abstr-rowvector;mathspeak.brief;[t] "Zeilenvektor";self::matrix;@role="rowvector"'.split(";"),["SpecializedRule","abstr-rowvector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "n dimensionaler Zeilenvektor";self::matrix;@role="rowvector";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+["Rule","abstr-matrix","default.default",'[t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Matrize"',"self::matrix"],["Rule","abstr-matrix","mathspeak.brief",'[t] "Matrize"',"self::matrix"],["SpecializedRule","abstr-matrix","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "n mal m dimensionale Matrize";self::matrix;./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-cases","default.default",'[t] "Fallunterscheidung";[t] "mit"; [t] count(children/*); [t] "F\u00e4llen"',
+"self::cases"],["Rule","abstr-cases","mathspeak.brief",'[t] "Fallunterscheidung"',"self::cases"],["SpecializedRule","abstr-cases","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-cases;default.default;[t] "Fallunterscheidung mit ver\u00e4nderlicher Anzahl an F\u00e4llen";self::cases;./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-punctuated","default.default",'[t] "mit"; [n] content/*[1]; [t] "getrennte Liste der L\u00e4nge"; [t] count(children/*) - count(content/*)',
+"self::punctuated"],["Rule","abstr-punctuated","mathspeak.brief",'[t] "mit"; [n] content/*[1]; [t] "getrennte Liste";',"self::punctuated"],["SpecializedRule","abstr-punctuated","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-punctuated,default.default,[t] "mit"; [n] content/*[1]; [t] "getrennte Liste";[t] "ver\u00e4nderlicher L\u00e4nge",self::punctuated,./children/punctuation[@role="ellipsis"]'.split(","),["Rule","abstr-bigop","default.default","[n] content/*[1]","self::bigop"],["Rule","abstr-integral",
+"default.default",'[t] "Integral"','@role="integral"'],"Rule,abstr-relation,default.default,[t] @role (grammar:localRole);,self::relseq,count(./children/*)=2".split(","),'Rule{abstr-relation-seq{default.default{[t] @role (grammar:localRole, join:""); [t] "ssequenz"; [t] "mit"; [t] count(./children/*); [t] "Elementen"{self::relseq{count(./children/*)>2'.split("{"),'Rule{abstr-relation-seq{mathspeak.brief{[t] @role (grammar:localRole, join:""); [t] "ssequenz"{self::relseq{count(./children/*)>2'.split("{"),
+["SpecializedRule","abstr-relation-seq","mathspeak.brief","mathspeak.sbrief"],'Rule{abstr-var-relation{default.default{[t] @role (grammar:localRole, join:""); [t] "ssequenz";[t] "mit ver\u00e4nderlicher Anzahl an Elementen"{self::relseq{count(./children/*)>2{./children/punctuation[@role="ellipsis"]'.split("{"),'UniqueAlias abstr-relation default.default self::multirel @role!="unknown" count(./children/*)>2'.split(" "),'Aliases abstr-var-relation self::multirel @role!="unknown" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),
+'Rule,abstr-multirel,default.default,[t] "Relationsequenz"; [t] "mit"; [t] count(./children/*); [t] "Elementen",self::multirel,count(./children/*)>2'.split(","),'Rule;abstr-multirel;mathspeak.brief;[t] "Relationsequenz";self::multirel;count(./children/*)>2'.split(";"),["SpecializedRule","abstr-multirel","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-multirel;default.default;[t] "Relationsequenz mit ver\u00e4nderlicher Anzahl an Elementen";self::multirel;count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+["Rule","abstr-table","default.default",'[t] "Tabelle mit"; [t] count(children/*); [t] "Zeilen und";[t] count(children/*[1]/children/*); [t] "Spalten"',"self::table"],["Rule","abstr-line","default.default",'[t] "in"; [t] @role (grammar:localRole);',"self::line"],["Rule","abstr-row","default.default",'[t] "in"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "mit";[t] count(children/*); [t] "Spalten"',"self::row"],["Rule","abstr-cell","default.default",'[t] "in"; [t] @role (grammar:localRole);',
+"self::cell"]]};sre.SummaryRules={modality:"summary",rules:['Rule;abstr-identifier;default.default;[t] "long identifier";self::identifier;contains(@grammar, "collapsed")'.split(";"),["Rule","abstr-identifier","default.default",'[t] "identifier"',"self::identifier"],'Rule;abstr-number;default.default;[t] "long number";self::number;contains(@grammar, "collapsed")'.split(";"),["Rule","abstr-number","default.default",'[t] "number"',"self::number"],'Rule;abstr-mixed-number;default.default;[t] "long mixed number";self::number;@role="mixed";contains(@grammar, "collapsed")'.split(";"),
+'Rule;abstr-mixed-number;default.default;[t] "mixed number";self::number;@role="mixed"'.split(";"),["Rule","abstr-text","default.default",'[t] "text"',"self::text"],["Rule","abstr-function","default.default",'[t] "functional expression"',"self::function"],["Rule","abstr-function","mathspeak.brief",'[t] "function"',"self::function"],["SpecializedRule","abstr-function","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-lim;default.default;[t] "limit function";self::function;@role="limit function"'.split(";"),
+'Rule;abstr-lim;mathspeak.brief;[t] "lim";self::function;@role="limit function"'.split(";"),["SpecializedRule","abstr-lim","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-fraction","default.default",'[t] "fraction"',"self::fraction"],["Rule","abstr-fraction","mathspeak.brief",'[t] "frac"',"self::fraction"],["SpecializedRule","abstr-fraction","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-continued-fraction;default.default;[t] "continued fraction";self::fraction;children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(";"),
+'Rule;abstr-continued-fraction;mathspeak.brief;[t] "continued frac";self::fraction;children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(";"),["SpecializedRule","abstr-continued-fraction","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-sqrt","default.default",'[t] "square root"',"self::sqrt"],'Rule;abstr-sqrt-nested;default.default;[t] "nested square root";self::sqrt;children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(";"),'Rule{abstr-root{default.default{[t] "root of index"; [n] children/*[1] (engine:modality="speech"); [t] "endindex"{self::root{contains(@grammar, "collapsed"){following-sibling::* or ancestor::*/following-sibling::*'.split("{"),
+["Rule","abstr-root","default.default",'[t] "root of index"; [n] children/*[1] (engine:modality=speech)',"self::root"],["Rule","abstr-root","mathspeak.brief",'[t] "root"',"self::root"],["SpecializedRule","abstr-root","mathspeak.brief","mathspeak.sbrief"],'Rule{abstr-root-nested{default.default{[t] "nested root of index"; [n] children/*[1] (engine:modality="speech"); [t] "endindex"{self::root{contains(@grammar, "collapsed"){children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root{following-sibling::* or ancestor::*/following-sibling::*'.split("{"),
+'Rule,abstr-root-nested,default.default,[t] "nested root of index"; [n] children/*[1] (engine:modality="speech"),self::root,children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(","),'Rule;abstr-root-nested;mathspeak.brief;[t] "nested root";self::root;children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(";"),["SpecializedRule","abstr-root-nested","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-superscript","default.default",'[t] "power"',
+"self::superscript"],["Rule","abstr-subscript","default.default",'[t] "subscript"',"self::subscript"],'Rule;abstr-subsup;default.default;[t] "power with subscript";self::superscript;name(children/*[1])="subscript"'.split(";"),["Rule","abstr-infixop","default.default",'[t] @role (grammar:localRole); [t] "with"; [t] count(./children/*); [t] "elements"',"self::infixop"],'Rule,abstr-infixop,default.default,[t] @role (grammar:localRole); [t] "with variable number of elements",self::infixop,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),
+["Rule","abstr-infixop","mathspeak.brief","[t] @role (grammar:localRole)","self::infixop"],["SpecializedRule","abstr-infixop","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-addition,default.default,[t] "sum with"; [t] count(./children/*); [t] "summands",self::infixop,@role="addition"'.split(","),'Rule;abstr-addition;mathspeak.brief;[t] "sum";self::infixop;@role="addition"'.split(";"),["SpecializedRule","abstr-addition","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-addition;default.default;[t] "sum with variable number of summands";self::infixop;@role="addition";count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+'Rule,abstr-multiplication,default.default,[t] "product with"; [t] count(./children/*); [t] "factors",self::infixop,@role="multiplication"'.split(","),'Rule;abstr-multiplication;mathspeak.brief;[t] "product";self::infixop;@role="multiplication"'.split(";"),["SpecializedRule","abstr-multiplication","mathspeak.brief","mathspeak.sbrief"],["Aliases","abstr-multiplication","self::infixop",'@role="implicit"'],'Rule;abstr-var-multiplication;default.default;[t] "product with variable number of factors";self::infixop;@role="multiplication";count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+'Aliases abstr-var-multiplication self::infixop @role="implicit" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),["Rule","abstr-vector","default.default",'[t] count(./children/*) ; [t] "dimensional vector"',"self::vector"],["Rule","abstr-vector","mathspeak.brief",'[t] "vector"',"self::vector"],["SpecializedRule","abstr-vector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-vector;default.default;[t] "n dimensional vector";self::vector;./children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+'Rule;abstr-binomial;default.default;[t] "binomial";self::vector;@role="binomial"'.split(";"),["SpecializedRule","abstr-binomial","default.default","mathspeak.brief"],["SpecializedRule","abstr-binomial","default.default","mathspeak.sbrief"],'Rule,abstr-determinant,default.default,[t] count(./children/*); [t] "dimensional determinant",self::matrix,@role="determinant"'.split(","),'Rule;abstr-determinant;mathspeak.brief;[t] "determinant";self::matrix;@role="determinant"'.split(";"),["SpecializedRule",
+"abstr-determinant","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-determinant;default.default;[t] "n dimensional determinant";self::matrix;@role="determinant";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),'Rule,abstr-squarematrix,default.default,[t] count(./children/*); [t] "dimensional square matrix",self::matrix,@role="squarematrix"'.split(","),'Rule;abstr-squarematrix;mathspeak.brief;[t] "square matrix";self::matrix;@role="squarematrix"'.split(";"),["SpecializedRule",
+"abstr-squarematrix","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-rowvector,default.default,[t] count(./children/row/children/*); [t] "dimensional row vector",self::matrix,@role="rowvector"'.split(","),'Rule;abstr-rowvector;mathspeak.brief;[t] "row vector";self::matrix;@role="rowvector"'.split(";"),["SpecializedRule","abstr-rowvector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "n dimensional row vector";self::matrix;@role="rowvector";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+["Rule","abstr-matrix","default.default",'[t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"',"self::matrix"],["Rule","abstr-matrix","mathspeak.brief",'[t] "matrix"',"self::matrix"],["SpecializedRule","abstr-matrix","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "n by m dimensional matrix";self::matrix;./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-cases","default.default",'[t] "case statement";[t] "with"; [t] count(children/*); [t] "cases"',
+"self::cases"],["Rule","abstr-cases","mathspeak.brief",'[t] "case statement"',"self::cases"],["SpecializedRule","abstr-cases","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-cases;default.default;[t] "case statement with variable number of cases";self::cases;./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-punctuated","default.default",'[n] content/*[1]; [t] "separated list"; [t] "of length"; [t] count(children/*) - count(content/*)',
+"self::punctuated"],["Rule","abstr-punctuated","mathspeak.brief",'[n] content/*[1]; [t] "separated list"',"self::punctuated"],["SpecializedRule","abstr-punctuated","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-punctuated,default.default,[n] content/*[1]; [t] "separated list";[t] "of variable length",self::punctuated,./children/punctuation[@role="ellipsis"]'.split(","),["Rule","abstr-bigop","default.default","[n] content/*[1]","self::bigop"],["Rule","abstr-integral","default.default",'[t] "integral"',
+'@role="integral"'],"Rule,abstr-relation,default.default,[t] @role (grammar:localRole);,self::relseq,count(./children/*)=2".split(","),'Rule,abstr-relation-seq,default.default,[t] @role (grammar:localRole); [t] "sequence"; [t] "with"; [t] count(./children/*); [t] "elements",self::relseq,count(./children/*)>2'.split(","),'Rule,abstr-relation-seq,mathspeak.brief,[t] @role (grammar:localRole); [t] "sequence",self::relseq,count(./children/*)>2'.split(","),["SpecializedRule","abstr-relation-seq","mathspeak.brief",
+"mathspeak.sbrief"],'Rule,abstr-var-relation,default.default,[t] @role (grammar:localRole); [t] "sequence"; [t] "with variable number of elements",self::relseq,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),'UniqueAlias abstr-relation default.default self::multirel @role!="unknown" count(./children/*)>2'.split(" "),'Aliases abstr-var-relation self::multirel @role!="unknown" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),'Rule,abstr-multirel,default.default,[t] "relation sequence"; [t] "with"; [t] count(./children/*); [t] "elements",self::multirel,count(./children/*)>2'.split(","),
+'Rule;abstr-multirel;mathspeak.brief;[t] "relation sequence";self::multirel;count(./children/*)>2'.split(";"),["SpecializedRule","abstr-multirel","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-multirel;default.default;[t] "relation sequence with variable number of elements";self::multirel;count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-table","default.default",'[t] "table with"; [t] count(children/*); [t] "rows and";[t] count(children/*[1]/children/*); [t] "columns"',
+"self::table"],["Rule","abstr-line","default.default",'[t] "in"; [t] @role (grammar:localRole);',"self::line"],["Rule","abstr-row","default.default",'[t] "in"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "with";[t] count(children/*); [t] "columns"',"self::row"],["Rule","abstr-cell","default.default",'[t] "in"; [t] @role (grammar:localRole);',"self::cell"]]};sre.SummarySpanish={locale:"es",modality:"summary",rules:[["Rule","stree","default.default","[n] ./*[1]","self::stree"],'Rule;abstr-identifier;default.default;[t] "identificador largo";self::identifier;contains(@grammar, "collapsed")'.split(";"),["Rule","abstr-identifier","default.default",'[t] "identificador"',"self::identifier"],'Rule;abstr-number;default.default;[t] "n\u00famero largo";self::number;contains(@grammar, "collapsed")'.split(";"),["Rule","abstr-number","default.default",'[t] "n\u00famero"',
+"self::number"],'Rule;abstr-mixed-number;default.default;[t] "n\u00famero largo mixto";self::number;@role="mixed";contains(@grammar, "collapsed")'.split(";"),'Rule;abstr-mixed-number;default.default;[t] "n\u00famero mixto";self::number;@role="mixed"'.split(";"),["Rule","abstr-text","default.default",'[t] "texto"',"self::text"],["Rule","abstr-function","default.default",'[t] "expresi\u00f3n funcional"',"self::function"],["Rule","abstr-function","mathspeak.brief",'[t] "funci\u00f3n"',"self::function"],
+["SpecializedRule","abstr-function","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-lim;default.default;[t] "funci\u00f3n de l\u00edmite";self::function;@role="limit function"'.split(";"),'Rule;abstr-lim;mathspeak.brief;[t] "l\u00edmite";self::function;@role="limit function"'.split(";"),["SpecializedRule","abstr-lim","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-fraction","default.default",'[t] "fracci\u00f3n"',"self::fraction"],["Rule","abstr-fraction","mathspeak.brief",'[t] "frac"',"self::fraction"],
+["SpecializedRule","abstr-fraction","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-continued-fraction;default.default;[t] "fracci\u00f3n continua";self::fraction;children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(";"),'Rule;abstr-continued-fraction;mathspeak.brief;[t] "frac continua";self::fraction;children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(";"),["SpecializedRule","abstr-continued-fraction","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-sqrt","default.default",
+'[t] "ra\u00edz cuadrada"',"self::sqrt"],'Rule;abstr-sqrt-nested;default.default;[t] "ra\u00edz cuadrada anidada";self::sqrt;children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(";"),'Rule{abstr-root{default.default{[t] "ra\u00edz del \u00edndice"; [n] children/*[1] (engine:modality="speech"); [t] "finalizar de \u00edndice"{self::root{contains(@grammar, "collapsed"){following-sibling::* or ancestor::*/following-sibling::*'.split("{"),["Rule","abstr-root","default.default",
+'[t] "ra\u00edz del \u00edndice"; [n] children/*[1] (engine:modality=speech)',"self::root"],["Rule","abstr-root","mathspeak.brief",'[t] "ra\u00edz"',"self::root"],["SpecializedRule","abstr-root","mathspeak.brief","mathspeak.sbrief"],'Rule{abstr-root-nested{default.default{[t] "ra\u00edz anidada del \u00edndice"; [n] children/*[1] (engine:modality="speech"); [t] "finalizar de \u00edndice"{self::root{contains(@grammar, "collapsed"){children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root{following-sibling::* or ancestor::*/following-sibling::*'.split("{"),
+'Rule,abstr-root-nested,default.default,[t] "ra\u00edz anidada del \u00edndice"; [n] children/*[1] (engine:modality="speech"),self::root,children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(","),'Rule;abstr-root-nested;mathspeak.brief;[t] "ra\u00edz anidada";self::root;children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(";"),["SpecializedRule","abstr-root-nested","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-superscript","default.default",
+'[t] "potencia"',"self::superscript"],["Rule","abstr-subscript","default.default",'[t] "sub\u00edndice"',"self::subscript"],'Rule;abstr-subsup;default.default;[t] "potencia con sub\u00edndice";self::superscript;name(children/*[1])="subscript"'.split(";"),["Rule","abstr-infixop","default.default",'[t] @role (grammar:localRole); [t] "con"; [t] count(./children/*); [t] "elementos"',"self::infixop"],'Rule,abstr-infixop,default.default,[t] @role (grammar:localRole); [t] "con una cantidad variable de elementos",self::infixop,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),
+["Rule","abstr-infixop","mathspeak.brief","[t] @role (grammar:localRole)","self::infixop"],["SpecializedRule","abstr-infixop","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-addition,default.default,[t] "suma con"; [t] count(./children/*); [t] "sumandos",self::infixop,@role="addition"'.split(","),'Rule;abstr-addition;mathspeak.brief;[t] "suma";self::infixop;@role="addition"'.split(";"),["SpecializedRule","abstr-addition","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-addition;default.default;[t] "suma con n\u00famero variable de sumandos";self::infixop;@role="addition";count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+'Rule,abstr-multiplication,default.default,[t] "producto con"; [t] count(./children/*); [t] "factores",self::infixop,@role="multiplication"'.split(","),'Rule;abstr-multiplication;mathspeak.brief;[t] "producto";self::infixop;@role="multiplication"'.split(";"),["SpecializedRule","abstr-multiplication","mathspeak.brief","mathspeak.sbrief"],["Aliases","abstr-multiplication","self::infixop",'@role="implicit"'],'Rule;abstr-var-multiplication;default.default;[t] "producto con una cantidad variable de factores";self::infixop;@role="multiplication";count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+'Aliases abstr-var-multiplication self::infixop @role="implicit" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),["Rule","abstr-vector","default.default",'[t] "vector de dimensi\u00f3n"; [t] count(./children/*)',"self::vector"],["Rule","abstr-vector","mathspeak.brief",'[t] "vector"',"self::vector"],["SpecializedRule","abstr-vector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-vector;default.default;[t] "vector de dimensi\u00f3n n";self::vector;./children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+'Rule;abstr-binomial;default.default;[t] "binomio";self::vector;@role="binomial"'.split(";"),["SpecializedRule","abstr-binomial","default.default","mathspeak.brief"],["SpecializedRule","abstr-binomial","default.default","mathspeak.sbrief"],'Rule,abstr-determinant,default.default,[t] "determinante de dimensi\u00f3n"; [t] count(./children/*),self::matrix,@role="determinant"'.split(","),'Rule;abstr-determinant;mathspeak.brief;[t] "determinante";self::matrix;@role="determinant"'.split(";"),["SpecializedRule",
+"abstr-determinant","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-determinant;default.default;[t] "determinante de dimensi\u00f3n n";self::matrix;@role="determinant";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),'Rule,abstr-squarematrix,default.default,[t] "matriz cuadrada de dimensi\u00f3n"; [t] count(./children/*),self::matrix,@role="squarematrix"'.split(","),'Rule;abstr-squarematrix;mathspeak.brief;[t] "matriz cuadrada";self::matrix;@role="squarematrix"'.split(";"),
+["SpecializedRule","abstr-squarematrix","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-rowvector,default.default,[t] "vector fila de dimensi\u00f3n"; [t] count(./children/row/children/*),self::matrix,@role="rowvector"'.split(","),'Rule;abstr-rowvector;mathspeak.brief;[t] "vector fila";self::matrix;@role="rowvector"'.split(";"),["SpecializedRule","abstr-rowvector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "vector fila de dimensi\u00f3n n";self::matrix;@role="rowvector";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+["Rule","abstr-matrix","default.default",'[t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [t] "matriz"',"self::matrix"],["Rule","abstr-matrix","mathspeak.brief",'[t] "matriz"',"self::matrix"],["SpecializedRule","abstr-matrix","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "matriz de dimensi\u00f3n n por m";self::matrix;./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-cases","default.default",'[t] "declaraci\u00f3n de caso";[t] "con"; [t] count(children/*); [t] "casos"',
+"self::cases"],["Rule","abstr-cases","mathspeak.brief",'[t] "declaraci\u00f3n de caso"',"self::cases"],["SpecializedRule","abstr-cases","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-cases;default.default;[t] "declaraci\u00f3n de caso con n\u00famero variable de casos";self::cases;./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-punctuated","default.default",'[t] "lista separada por"; [n] content/*[1]; [t] "de longitud"; [t] count(children/*) - count(content/*)',
+"self::punctuated"],["Rule","abstr-punctuated","mathspeak.brief",'[t] "lista separada por"; [n] content/*[1]',"self::punctuated"],["SpecializedRule","abstr-punctuated","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-punctuated,default.default,[t] "lista separada por"; [n] content/*[1],[t] "de longitud variable",self::punctuated,./children/punctuation[@role="ellipsis"]'.split(","),["Rule","abstr-bigop","default.default","[n] content/*[1]","self::bigop"],["Rule","abstr-integral","default.default",
+'[t] "integral"','@role="integral"'],"Rule,abstr-relation,default.default,[t] @role (grammar:localRole);,self::relseq,count(./children/*)=2".split(","),'Rule,abstr-relation-seq,default.default,[t] "secuencia de"; [t] @role (grammar:localRole); [t] "con"; [t] count(./children/*); [t] "elementos",self::relseq,count(./children/*)>2'.split(","),'Rule,abstr-relation-seq,mathspeak.brief,[t] "secuencia de"; [t] @role (grammar:localRole),self::relseq,count(./children/*)>2'.split(","),["SpecializedRule","abstr-relation-seq",
+"mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-relation,default.default,[t] "secuencia de"; [t] @role (grammar:localRole); [t] "con una cantidad variable de elementos",self::relseq,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),'UniqueAlias abstr-relation default.default self::multirel @role!="unknown" count(./children/*)>2'.split(" "),'Aliases abstr-var-relation self::multirel @role!="unknown" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),
+'Rule,abstr-multirel,default.default,[t] "secuencia de relaci\u00f3n"; [t] "con"; [t] count(./children/*); [t] "elementos",self::multirel,count(./children/*)>2'.split(","),'Rule;abstr-multirel;mathspeak.brief;[t] "secuencia de relaci\u00f3n";self::multirel;count(./children/*)>2'.split(";"),["SpecializedRule","abstr-multirel","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-multirel;default.default;[t] "secuencia de relaci\u00f3n con n\u00famero variable de elementos";self::multirel;count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+["Rule","abstr-table","default.default",'[t] "mesa con"; [t] count(children/*); [t] "filas y";[t] count(children/*[1]/children/*); [t] "columnas"',"self::table"],["Rule","abstr-line","default.default",'[t] "en"; [t] @role (grammar:localRole);',"self::line"],["Rule","abstr-row","default.default",'[t] "en"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "con";[t] count(children/*); [t] "columnas"',"self::row"],["Rule","abstr-cell","default.default",'[t] "en"; [t] @role (grammar:localRole);',
+"self::cell"]]};sre.SpeechRuleStores={};
+sre.SpeechRuleStores.RULE_SETS_={SemanticTreeRules:sre.SemanticTreeRules,MathspeakFrench:sre.MathspeakFrench,MathspeakGerman:sre.MathspeakGerman,MathspeakRules:sre.MathspeakRules,MathspeakSpanish:sre.MathspeakSpanish,NemethRules:sre.NemethRules,ClearspeakFrench:sre.ClearspeakFrench,ClearspeakGerman:sre.ClearspeakGerman,ClearspeakRules:sre.ClearspeakRules,EmacspeakRules:sre.EmacspeakRules,SummaryFrench:sre.SummaryFrench,SummaryGerman:sre.SummaryGerman,SummaryRules:sre.SummaryRules,SummarySpanish:sre.SummarySpanish,
+PrefixFrench:sre.PrefixFrench,PrefixGerman:sre.PrefixGerman,PrefixRules:sre.PrefixRules,PrefixSpanish:sre.PrefixSpanish};sre.SpeechRuleStores.availableSets=function(){return Object.keys(sre.SpeechRuleStores.RULE_SETS_)};sre.SpeechRuleStores.getConstructor=function(a){return(a=sre.SpeechRuleStores.RULE_SETS_[a])?a:null};sre.SpeechRuleEngine=function(){this.activeStore_=null;this.cache_={};this.ready_=!0;this.combinedStores_={};this.evaluators_={};this.ruleSets_={};sre.Engine.registerTest(goog.bind(function(a){return this.ready_},this))};goog.addSingletonGetter(sre.SpeechRuleEngine);
+sre.SpeechRuleEngine.prototype.parameterize=function(a){for(var b={},c=0,d=a.length;c<d;c++){var e=a[c];if(this.ruleSets_[e])b[e]=this.ruleSets_[e];else{var f=sre.SpeechRuleStores.getConstructor(e);if(f&&f.getInstance)b[e]=f.getInstance(),this.ruleSets_[e]=f.getInstance();else if(f){var g=this.storeFactory_(f.modality);g.parse(f);this.ruleSets_[e]=g;b[e]=g}}}this.parameterize_(b)};
+sre.SpeechRuleEngine.prototype.storeFactory_=function(a){return new ({braille:sre.BrailleStore,speech:sre.MathStore}[a]||sre.MathStore)};sre.SpeechRuleEngine.prototype.parameterize_=function(a){try{this.activeStore_=this.combineStores_(a)}catch(b){if("StoreError"==b.name)console.error("Store Error:",b.message);else throw b;}this.updateEngine()};sre.SpeechRuleEngine.prototype.clearCache=function(){this.cache_={}};sre.SpeechRuleEngine.prototype.forCache=function(a){for(var b in this.cache_)a(b,this.cache_[b])};
+sre.SpeechRuleEngine.prototype.getCacheForNode_=function(a){if(!a||!a.getAttribute)return null;a=a.getAttribute("id");return"undefined"===a||""===a?null:this.getCache(a)};sre.SpeechRuleEngine.prototype.getCache=function(a){return(a=this.cache_[a])?this.cloneCache(a):a};sre.SpeechRuleEngine.prototype.cloneCache=function(a){return a.map(function(b){return b.clone()})};
 sre.SpeechRuleEngine.prototype.pushCache_=function(a,b){sre.Engine.getInstance().cache&&a.getAttribute&&(a=a.getAttribute("id"))&&(this.cache_[a]=this.cloneCache(b))};sre.SpeechRuleEngine.prototype.evaluateNode=function(a){var b=(new Date).getTime();a=this.evaluateNode_(a);var c=(new Date).getTime();sre.Debugger.getInstance().output("Time:",c-b);return a};sre.SpeechRuleEngine.prototype.evaluateNode_=function(a){if(!a)return[];this.updateConstraint_();return this.evaluateTree_(a)};
-sre.SpeechRuleEngine.prototype.evaluateTree_=function(a){var b=sre.Engine.getInstance();if(b.cache){var c=this.getCacheForNode_(a);if(c)return c}sre.Grammar.getInstance().setAttribute(a);var d=this.activeStore_.lookupRule(a,b.dynamicCstr);if(!d){if(b.strict)return[];c=this.activeStore_.evaluateDefault(a);this.pushCache_(a,c);return c}sre.Debugger.getInstance().generateOutput(goog.bind(function(){return[d.name,d.dynamicCstr.toString(),a.toString()]},this));b=d.action.components;c=[];for(var e=0,f;f=
-b[e];e++){var g=[],h=f.content||"",k=f.attributes||{};f.grammar&&this.processGrammar(a,f.grammar);switch(f.type){case sre.SpeechRule.Type.NODE:(h=this.activeStore_.applyQuery(a,h))&&(g=this.evaluateTree_(h));break;case sre.SpeechRule.Type.MULTI:h=this.activeStore_.applySelector(a,h);0<h.length&&(g=this.evaluateNodeList_(h,k.sepFunc,this.constructString(a,k.separator),k.ctxtFunc,this.constructString(a,k.context)));break;case sre.SpeechRule.Type.TEXT:(h=this.constructString(a,h))&&(g=[sre.AuditoryDescription.create({text:h},
-{adjust:!0})]);break;default:g=[sre.AuditoryDescription.create({text:h})]}g[0]&&f.type!=sre.SpeechRule.Type.MULTI&&(k.context&&(g[0].context=this.constructString(a,k.context)+(g[0].context||"")),k.annotation&&(g[0].annotation=k.annotation));f.grammar&&sre.Grammar.getInstance().popState();c=c.concat(this.addPersonality_(g,k))}this.pushCache_(a,c);return c};
-sre.SpeechRuleEngine.prototype.evaluateNodeList_=function(a,b,c,d,e){if(a==[])return[];var f=c||"",g=e||"";c=(c=this.activeStore_.contextFunctions.lookup(d))?c(a,g):function(){return g};b=(b=this.activeStore_.contextFunctions.lookup(b))?b(a,f):function(){return sre.AuditoryDescription.create({text:f},{translate:!0})};d=[];e=0;for(var h;h=a[e];e++)h=this.evaluateTree_(h),0<h.length&&(h[0].context=c()+(h[0].context||""),d=d.concat(h),e<a.length-1&&(h=b(),d=d.concat(h)));return d};
-sre.SpeechRuleEngine.prototype.addPersonality_=function(a,b){var c={},d;for(d in sre.Engine.personalityProps){var e=parseFloat(b[sre.Engine.personalityProps[d]]);isNaN(e)||(c[sre.Engine.personalityProps[d]]=e)}for(b=0;d=a[b];b++)this.addRelativePersonality_(d,c);return a};sre.SpeechRuleEngine.prototype.addRelativePersonality_=function(a,b){if(!a.personality)return a.personality=b,a;var c=a.personality,d;for(d in b)c[d]=c[d]&&"number"==typeof c[d]?c[d]+b[d]:b[d];return a};
-sre.SpeechRuleEngine.prototype.toString=function(){return this.activeStore_.findAllRules(function(a){return!0}).map(function(a){return a.toString()}).join("\n")};sre.SpeechRuleEngine.debugSpeechRule=function(a,b){var c=sre.SpeechRuleEngine.getInstance().activeStore_;c&&c.debugSpeechRule(a,b)};
-sre.SpeechRuleEngine.debugNamedSpeechRule=function(a,b){var c=sre.SpeechRuleEngine.getInstance().activeStore_;if(c)for(var d=c.findAllRules(function(b){return b.name==a}),e=0,f;f=d[e];e++)sre.Debugger.getInstance().output("Rule",a,"DynamicCstr:",f.dynamicCstr.toString(),"number",e),c.debugSpeechRule(f,b)};
-sre.SpeechRuleEngine.prototype.runInSetting=function(a,b){var c=sre.Engine.getInstance(),d={},e=null,f;for(f in a)"rules"===f?(e=this.activeStore_,c.ruleSets=a[f],this.parameterize(c.ruleSets)):(d[f]=c[f],c[f]=a[f]);c.dynamicCstr=sre.DynamicCstr.create(c.locale,c.domain,c.style);a=b();for(f in d)c[f]=d[f];e&&(this.activeStore_=e);c.dynamicCstr=sre.DynamicCstr.create(c.locale,c.domain,c.style);return a};
-sre.SpeechRuleEngine.prototype.combineStores_=function(a){var b=this.cachedStore_(a);if(b)return b;b=new sre.MathStore;for(var c in a){var d=a[c];d.initialize();d.getSpeechRules().forEach(function(a){b.trie.addRule(a)});b.contextFunctions.addStore(d.contextFunctions);b.customQueries.addStore(d.customQueries);b.customStrings.addStore(d.customStrings)}b.setSpeechRules(b.trie.collectRules());return this.combinedStores_[this.combinedStoreName_(Object.keys(a))]=b};
-sre.SpeechRuleEngine.prototype.combinedStoreName_=function(a){return a.sort().join("-")};sre.SpeechRuleEngine.prototype.cachedStore_=function(a){var b=Object.keys(a);return b.some(function(b){return!a[b].initialized})?null:this.combinedStores_[this.combinedStoreName_(b)]};
-sre.SpeechRuleEngine.prototype.updateEngine=function(){this.ready_=!0;var a=sre.MathMap.getInstance();sre.Engine.isReady()?sre.Engine.getInstance().evaluator=goog.bind(a.store.lookupString,a.store):(this.ready_=!1,setTimeout(goog.bind(this.updateEngine,this),250))};sre.SpeechRuleEngine.prototype.processGrammar=function(a,b){var c={},d;for(d in b){var e=b[d];c[d]="string"===typeof e?this.constructString(a,e):e}sre.Grammar.getInstance().pushState(c)};
-sre.SpeechRuleEngine.prototype.updateConstraint_=function(){var a=sre.Engine.getInstance().dynamicCstr,b=sre.Engine.getInstance().strict,c={},d=[a.getValue(sre.DynamicCstr.Axis.LOCALE),a.getValue(sre.DynamicCstr.Axis.DOMAIN)],e=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE],f=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN],g=this.activeStore_.trie.hasSubtrie(d);c[sre.DynamicCstr.Axis.LOCALE]=[g?d[0]:e];g=g?g:this.activeStore_.trie.hasSubtrie([e,d[1]]);c[sre.DynamicCstr.Axis.DOMAIN]=
-[g?d[1]:f];a.getOrder().forEach(function(d){if(!c[d]){var e=a.getValue(d),f=sre.DynamicCstr.DEFAULT_VALUES[d];c[d]=b||e===f?[e]:[e,f]}});a.updateProperties(c)};sre.SpeechGeneratorUtil={};sre.SpeechGeneratorUtil.computeSpeech=function(a){var b=sre.SpeechRuleEngine.getInstance();b.clearCache();return b.evaluateNode(a)};sre.SpeechGeneratorUtil.recomputeSpeech=function(a){a=sre.SemanticTree.fromNode(a);return sre.SpeechRuleEngine.getInstance().evaluateNode(a.xml())};
+sre.SpeechRuleEngine.prototype.evaluateTree_=function(a){var b=sre.Engine.getInstance();sre.Debugger.getInstance().output(b.mode!==sre.Engine.Mode.HTTP?a.toString():a);if(b.cache){var c=this.getCacheForNode_(a);if(c)return a.attributes&&this.addPersonality_(c,{},!1,a),c}sre.Grammar.getInstance().setAttribute(a);var d=this.activeStore_.lookupRule(a,b.dynamicCstr);if(!d){if(b.strict)return[];c=this.getEvaluator(b.locale,b.modality)(a);a.attributes&&this.addPersonality_(c,{},!1,a);this.pushCache_(a,
+c);return c}sre.Debugger.getInstance().generateOutput(goog.bind(function(){return["Apply Rule:",d.name,d.dynamicCstr.toString(),b.mode!==sre.Engine.Mode.HTTP?a.toString():a]},this));var e=d.context||this.activeStore_.context,f=d.action.components;c=[];for(var g=0,h;h=f[g];g++){var k=[],l=h.content||"",m=h.attributes||{},n=!1;h.grammar&&this.processGrammar(e,a,h.grammar);var p=null,q=null;if(m.engine){p=sre.Engine.getInstance().dynamicCstr.getComponents();var r=sre.Grammar.parseInput(m.engine);q=this.cache_;
+this.clearCache();sre.Engine.getInstance().setDynamicCstr(r)}switch(h.type){case sre.SpeechRule.Type.NODE:(l=e.applyQuery(a,l))&&(k=this.evaluateTree_(l));break;case sre.SpeechRule.Type.MULTI:n=!0;l=e.applySelector(a,l);0<l.length&&(k=this.evaluateNodeList_(e,l,m.sepFunc,e.constructString(a,m.separator),m.ctxtFunc,e.constructString(a,m.context)));break;case sre.SpeechRule.Type.TEXT:(l=e.constructString(a,l))&&(k=[sre.AuditoryDescription.create({text:l},{adjust:!0})]);break;default:k=[sre.AuditoryDescription.create({text:l})]}k[0]&&
+!n&&(m.context&&(k[0].context=e.constructString(a,m.context)+(k[0].context||"")),m.annotation&&(k[0].annotation=m.annotation));h.grammar&&sre.Grammar.getInstance().popState();c=c.concat(this.addPersonality_(k,m,n,a));p&&(this.cache_=q,sre.Engine.getInstance().setDynamicCstr(p))}this.pushCache_(a,c);return c};
+sre.SpeechRuleEngine.prototype.evaluateNodeList_=function(a,b,c,d,e,f){if(b==[])return[];var g=d||"",h=f||"";d=(d=a.contextFunctions.lookup(e))?d(b,h):function(){return h};a=(a=a.contextFunctions.lookup(c))?a(b,g):function(){return sre.AuditoryDescription.create({text:g},{translate:!0})};c=[];for(e=0;f=b[e];e++)f=this.evaluateTree_(f),0<f.length&&(f[0].context=d()+(f[0].context||""),c=c.concat(f),e<b.length-1&&(f=a(),c=c.concat(f)));return c};
+sre.SpeechRuleEngine.prototype.addPersonality_=function(a,b,c,d){var e={},f;for(f in sre.Engine.personalityProps){var g=b[sre.Engine.personalityProps[f]];if("undefined"!==typeof g){var h=parseFloat(g);e[sre.Engine.personalityProps[f]]=isNaN(h)?'"'==g.charAt(0)?g.slice(1,-1):g:h}}for(b=0;f=a[b];b++)this.addRelativePersonality_(f,e),this.addExternalAttributes_(f,d);c&&a.length&&delete a[a.length-1].personality[sre.Engine.personalityProps.JOIN];return a};
+sre.SpeechRuleEngine.prototype.addExternalAttributes_=function(a,b){if(b.hasAttributes()){b=b.attributes;for(var c=b.length-1;0<=c;c--){var d=b[c].name;!a.attributes[d]&&d.match(/^ext/)&&(a.attributes[d]=b[c].value)}}};sre.SpeechRuleEngine.prototype.addRelativePersonality_=function(a,b){if(!a.personality)return a.personality=b,a;var c=a.personality,d;for(d in b)c[d]=c[d]&&"number"==typeof c[d]&&"number"==typeof b[d]?c[d]+b[d]:b[d];return a};sre.SpeechRuleEngine.prototype.toString=function(){return this.activeStore_.findAllRules(function(a){return!0}).map(function(a){return a.toString()}).join("\n")};
+sre.SpeechRuleEngine.debugSpeechRule=function(a,b){var c=sre.SpeechRuleEngine.getInstance().activeStore_;c&&c.debugSpeechRule(a,b)};sre.SpeechRuleEngine.debugNamedSpeechRule=function(a,b){var c=sre.SpeechRuleEngine.getInstance().activeStore_;if(c)for(var d=c.findAllRules(function(g){return g.name==a}),e=0,f;f=d[e];e++)sre.Debugger.getInstance().output("Rule",a,"DynamicCstr:",f.dynamicCstr.toString(),"number",e),c.debugSpeechRule(f,b)};
+sre.SpeechRuleEngine.prototype.runInSetting=function(a,b){var c=sre.Engine.getInstance(),d={},e=null,f;for(f in a)"rules"===f?(e=this.activeStore_,c.ruleSets=a[f],this.parameterize(c.ruleSets)):(d[f]=c[f],c[f]=a[f]);c.setDynamicCstr();a=b();for(f in d)c[f]=d[f];e&&(this.activeStore_=e);c.setDynamicCstr();return a};
+sre.SpeechRuleEngine.prototype.combineStores_=function(a){var b=this.cachedStore_(a);if(b)return b;b=new sre.MathStore;for(var c in a){var d=a[c];d.initialize();d.getSpeechRules().forEach(function(e){b.trie.addRule(e)});this.addEvaluator(d)}b.setSpeechRules(b.trie.collectRules());return this.combinedStores_[this.combinedStoreName_(Object.keys(a))]=b};sre.SpeechRuleEngine.prototype.combinedStoreName_=function(a){return a.sort().join("-")};
+sre.SpeechRuleEngine.prototype.cachedStore_=function(a){var b=Object.keys(a);return b.some(function(c){return!a[c].initialized})?null:this.combinedStores_[this.combinedStoreName_(b)]};sre.SpeechRuleEngine.prototype.updateEngine=function(){this.ready_=!0;var a=sre.MathMap.getInstance();sre.Engine.isReady()?sre.Engine.getInstance().evaluator=goog.bind(a.store.lookupString,a.store):(this.ready_=!1,setTimeout(goog.bind(this.updateEngine,this),250))};
+sre.SpeechRuleEngine.prototype.processGrammar=function(a,b,c){var d={},e;for(e in c){var f=c[e];d[e]="string"===typeof f?a.constructString(b,f):f}sre.Grammar.getInstance().pushState(d)};
+sre.SpeechRuleEngine.prototype.updateConstraint_=function(){var a=sre.Engine.getInstance().dynamicCstr,b=sre.Engine.getInstance().strict,c=this.activeStore_.trie,d={},e=a.getValue(sre.DynamicCstr.Axis.LOCALE),f=a.getValue(sre.DynamicCstr.Axis.MODALITY),g=a.getValue(sre.DynamicCstr.Axis.DOMAIN);c.hasSubtrie([e,f,g])||(e=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE],c.hasSubtrie([e,f,g])||(f=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY],c.hasSubtrie([e,f,g])||(g=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN])));
+d[sre.DynamicCstr.Axis.LOCALE]=[e];d[sre.DynamicCstr.Axis.MODALITY]=["summary"!==f?f:sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]];d[sre.DynamicCstr.Axis.DOMAIN]=["speech"!==f?sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]:g];c=a.getOrder();for(e=0;f=c[e];e++)if(!d[f]){g=a.getValue(f);var h=this.makeSet_(g,a.preference),k=sre.DynamicCstr.DEFAULT_VALUES[f];b||g===k||h.push(k);d[f]=h}a.updateProperties(d)};
+sre.SpeechRuleEngine.prototype.makeSet_=function(a,b){return b&&Object.keys(b).length?a.split(":"):[a]};sre.SpeechRuleEngine.prototype.addEvaluator=function(a){var b=goog.bind(a.evaluateDefault,a),c=this.evaluators_[a.locale];c?c[a.modality]=b:(c={},c[a.modality]=b,this.evaluators_[a.locale]=c)};sre.SpeechRuleEngine.prototype.getEvaluator=function(a,b){return(b=(a=this.evaluators_[a])?a[b]:null)?b:goog.bind(this.activeStore_.evaluateDefault,this.activeStore_)};
+sre.SpeechRuleEngine.prototype.enumerate=function(a){return this.activeStore_.trie.enumerate(a)};sre.SpeechGeneratorUtil={};sre.SpeechGeneratorUtil.computeSpeech=function(a){var b=sre.SpeechRuleEngine.getInstance();b.clearCache();return b.evaluateNode(a)};sre.SpeechGeneratorUtil.recomputeSpeech=function(a){a=sre.SemanticTree.fromNode(a);return sre.SpeechRuleEngine.getInstance().evaluateNode(a.xml())};
 sre.SpeechGeneratorUtil.computeSpeechWithoutCache=function(a){var b=sre.Engine.getInstance().cache;sre.Engine.getInstance().cache=!1;a=sre.SpeechRuleEngine.getInstance().evaluateNode(a);sre.Engine.getInstance().cache=b;return a};sre.SpeechGeneratorUtil.retrieveSpeech=function(a){var b=null;sre.Engine.getInstance().cache&&(b=sre.SpeechRuleEngine.getInstance().getCache(a.id.toString()));b||(b=sre.SpeechGeneratorUtil.recomputeSpeech(a));return sre.AuralRendering.getInstance().markup(b)};
-sre.SpeechGeneratorUtil.addSpeech=function(a,b){b=sre.SpeechGeneratorUtil.retrieveSpeech(b);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,b)};sre.SpeechGeneratorUtil.addPrefix=function(a,b){(b=sre.SpeechGeneratorUtil.retrievePrefix(b))&&a.setAttribute(sre.EnrichMathml.Attribute.PREFIX,b)};sre.SpeechGeneratorUtil.retrievePrefix=function(a){a=sre.SpeechGeneratorUtil.computePrefix_(a);return sre.AuralRendering.getInstance().markup(a)};
-sre.SpeechGeneratorUtil.computePrefix_=function(a){var b=sre.SemanticTree.fromRoot(a),c=sre.XpathUtil.evalXPath('.//*[@id="'+a.id+'"]',b.xml())[0];return c?sre.SpeechRuleEngine.getInstance().runInSetting({domain:"prefix",style:"default",strict:!0,cache:!1,speech:!0,rules:["PrefixRules","PrefixSpanish"]},function(){return sre.SpeechRuleEngine.getInstance().evaluateNode(c)}):[]};
-sre.SpeechGeneratorUtil.connectMactions=function(a,b,c){b=sre.DomUtil.querySelectorAll(b,"maction");for(var d=0,e;e=b[d];d++){var f=e.getAttribute("id");if(f=sre.DomUtil.querySelectorAllByAttrValue(a,"id",f)[0]){var g=e.childNodes[1];e=g.getAttribute(sre.EnrichMathml.Attribute.ID);var h=sre.WalkerUtil.getBySemanticId(a,e);h&&"dummy"!==h.getAttribute(sre.EnrichMathml.Attribute.TYPE)||(h=f.childNodes[0],(f=g.getAttribute(sre.EnrichMathml.Attribute.PARENT))&&h.setAttribute(sre.EnrichMathml.Attribute.PARENT,
-f),h.setAttribute(sre.EnrichMathml.Attribute.TYPE,"dummy"),h.setAttribute(sre.EnrichMathml.Attribute.ID,e),sre.DomUtil.querySelectorAllByAttrValue(c,"id",e)[0].setAttribute("alternative",e))}}};sre.SpeechGeneratorUtil.connectAllMactions=function(a,b){a=sre.DomUtil.querySelectorAll(a,"maction");for(var c=0,d;d=a[c];c++)d=d.childNodes[1].getAttribute(sre.EnrichMathml.Attribute.ID),sre.DomUtil.querySelectorAllByAttrValue(b,"id",d)[0].setAttribute("alternative",d)};sre.AbstractSpeechGenerator=function(){this.rebuilt_=null};sre.AbstractSpeechGenerator.prototype.getRebuilt=function(){return this.rebuilt_};sre.AbstractSpeechGenerator.prototype.setRebuilt=function(a){this.rebuilt_=a};sre.AbstractSpeechGenerator.prototype.getSpeech=goog.abstractMethod;sre.AbstractSpeechGenerator.prototype.start=function(){};sre.AbstractSpeechGenerator.prototype.end=function(){};
-sre.AbstractSpeechGenerator.prototype.generateSpeech=function(a,b){this.rebuilt_||(this.rebuilt_=new sre.RebuildStree(b));a=sre.SpeechGeneratorUtil.computeSpeech(this.getRebuilt().xml);return sre.AuralRendering.getInstance().markup(a)};sre.AdhocSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.AdhocSpeechGenerator,sre.AbstractSpeechGenerator);sre.AdhocSpeechGenerator.prototype.getSpeech=function(a,b){b=this.generateSpeech(a,b);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,b);return b};sre.DirectSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.DirectSpeechGenerator,sre.AbstractSpeechGenerator);sre.DirectSpeechGenerator.prototype.getSpeech=function(a,b){return sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.SPEECH)};sre.DummySpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.DummySpeechGenerator,sre.AbstractSpeechGenerator);sre.DummySpeechGenerator.prototype.getSpeech=function(a,b){return""};sre.TreeSpeechGenerator=function(){};goog.inherits(sre.TreeSpeechGenerator,sre.AbstractSpeechGenerator);sre.TreeSpeechGenerator.prototype.getSpeech=function(a,b){var c=this.generateSpeech(a,b);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,c);var d=this.getRebuilt().nodeDict,e;for(e in d){var f=d[e],g=sre.WalkerUtil.getBySemanticId(b,e),h=sre.WalkerUtil.getBySemanticId(a,e);g&&h&&(sre.SpeechGeneratorUtil.addSpeech(h,f),sre.SpeechGeneratorUtil.addPrefix(h,f))}return c};sre.NodeSpeechGenerator=function(){sre.TreeSpeechGenerator.call(this)};goog.inherits(sre.NodeSpeechGenerator,sre.TreeSpeechGenerator);sre.NodeSpeechGenerator.prototype.getSpeech=function(a,b){var c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.SPEECH);return c?c:sre.NodeSpeechGenerator.superClass_.getSpeech.call(this,a,b)};sre.SummarySpeechGenerator=function(){};goog.inherits(sre.SummarySpeechGenerator,sre.AbstractSpeechGenerator);sre.SummarySpeechGenerator.prototype.getSpeech=function(a,b){sre.SpeechGeneratorUtil.connectAllMactions(b,this.getRebuilt().xml);return this.generateSpeech(a,b)};sre.SpeechGeneratorFactory={};sre.SpeechGeneratorFactory.generator=function(a){return new (sre.SpeechGeneratorFactory.generatorMapping_[a]||sre.SpeechGeneratorFactory.generatorMapping_.Direct)};sre.SpeechGeneratorFactory.generatorMapping_={Adhoc:sre.AdhocSpeechGenerator,Direct:sre.DirectSpeechGenerator,Dummy:sre.DummySpeechGenerator,Node:sre.NodeSpeechGenerator,Summary:sre.SummarySpeechGenerator,Tree:sre.TreeSpeechGenerator};sre.EventUtil={};sre.EventUtil.KeyCode={ENTER:13,ESC:27,SPACE:32,PAGE_UP:33,PAGE_DOWN:34,END:35,HOME:36,LEFT:37,UP:38,RIGHT:39,DOWN:40,TAB:9,0:48,1:49,2:50,3:51,4:52,5:53,6:54,7:55,8:56,9:57,A:65,B:66,C:67,D:68,E:69,F:70,G:71,H:72,I:73,J:74,K:75,L:76,M:77,N:78,O:79,P:80,Q:81,R:82,S:83,T:84,U:85,V:86,W:87,X:88,Y:89,Z:90};
+sre.SpeechGeneratorUtil.addSpeech=function(a,b,c){b=sre.SpeechGeneratorUtil.retrieveSpeech(b);a.setAttribute(c||sre.EnrichMathml.Attribute.SPEECH,b)};sre.SpeechGeneratorUtil.addPrefix=function(a,b){(b=sre.SpeechGeneratorUtil.retrievePrefix(b))&&a.setAttribute(sre.EnrichMathml.Attribute.PREFIX,b)};sre.SpeechGeneratorUtil.retrievePrefix=function(a){a=sre.SpeechGeneratorUtil.computePrefix_(a);return sre.AuralRendering.getInstance().markup(a)};
+sre.SpeechGeneratorUtil.computePrefix_=function(a){var b=sre.SemanticTree.fromRoot(a),c=sre.XpathUtil.evalXPath('.//*[@id="'+a.id+'"]',b.xml())[0];return c?sre.SpeechRuleEngine.getInstance().runInSetting({modality:"prefix",domain:"default",style:"default",strict:!0,cache:!1,speech:!0},function(){return sre.SpeechRuleEngine.getInstance().evaluateNode(c)}):[]};
+sre.SpeechGeneratorUtil.connectMactions=function(a,b,c){b=sre.DomUtil.querySelectorAll(b,"maction");for(var d=0,e;e=b[d];d++){var f=e.getAttribute("id");if(f=sre.DomUtil.querySelectorAllByAttrValue(a,"id",f)[0]){var g=e.childNodes[1];e=g.getAttribute(sre.EnrichMathml.Attribute.ID);var h=sre.WalkerUtil.getBySemanticId(a,e);h&&"dummy"!==h.getAttribute(sre.EnrichMathml.Attribute.TYPE)||(h=f.childNodes[0],h.getAttribute("sre-highlighter-added")||((f=g.getAttribute(sre.EnrichMathml.Attribute.PARENT))&&
+h.setAttribute(sre.EnrichMathml.Attribute.PARENT,f),h.setAttribute(sre.EnrichMathml.Attribute.TYPE,"dummy"),h.setAttribute(sre.EnrichMathml.Attribute.ID,e),sre.DomUtil.querySelectorAllByAttrValue(c,"id",e)[0].setAttribute("alternative",e)))}}};
+sre.SpeechGeneratorUtil.connectAllMactions=function(a,b){a=sre.DomUtil.querySelectorAll(a,"maction");for(var c=0,d;d=a[c];c++)d=d.childNodes[1].getAttribute(sre.EnrichMathml.Attribute.ID),sre.DomUtil.querySelectorAllByAttrValue(b,"id",d)[0].setAttribute("alternative",d)};sre.SpeechGeneratorUtil.retrieveSummary=function(a){a=sre.SpeechGeneratorUtil.computeSummary_(a);return sre.AuralRendering.getInstance().markup(a)};
+sre.SpeechGeneratorUtil.computeSummary_=function(a){return a?sre.SpeechRuleEngine.getInstance().runInSetting({modality:"summary",strict:!1,cache:!1,speech:!0},function(){return sre.SpeechRuleEngine.getInstance().evaluateNode(a)}):[]};sre.AbstractSpeechGenerator=function(){this.rebuilt_=null;this.options_={};this.modality=sre.EnrichMathml.addPrefix("speech")};sre.AbstractSpeechGenerator.prototype.getRebuilt=function(){return this.rebuilt_};sre.AbstractSpeechGenerator.prototype.setRebuilt=function(a){this.rebuilt_=a};sre.AbstractSpeechGenerator.prototype.setOptions=function(a){this.options_=a||{};this.modality=sre.EnrichMathml.addPrefix(this.options_.modality||"speech")};sre.AbstractSpeechGenerator.prototype.getOptions=function(){return this.options_};
+sre.AbstractSpeechGenerator.prototype.getSpeech=goog.abstractMethod;sre.AbstractSpeechGenerator.prototype.start=function(){};sre.AbstractSpeechGenerator.prototype.end=function(){};sre.AbstractSpeechGenerator.prototype.generateSpeech=function(a,b){this.rebuilt_||(this.rebuilt_=new sre.RebuildStree(b));sre.System.getInstance().setupEngine(this.options_);a=sre.SpeechGeneratorUtil.computeSpeech(this.getRebuilt().xml);return sre.AuralRendering.getInstance().markup(a)};sre.AdhocSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.AdhocSpeechGenerator,sre.AbstractSpeechGenerator);sre.AdhocSpeechGenerator.prototype.getSpeech=function(a,b){b=this.generateSpeech(a,b);a.setAttribute(this.modality,b);return b};sre.ColorGenerator=function(){sre.AbstractSpeechGenerator.call(this);this.modality=sre.EnrichMathml.addPrefix("foreground");this.contrast=new sre.ContrastPicker};goog.inherits(sre.ColorGenerator,sre.AbstractSpeechGenerator);sre.ColorGenerator.prototype.getSpeech=function(a,b){return sre.WalkerUtil.getAttribute(a,this.modality)};
+sre.ColorGenerator.prototype.generateSpeech=function(a,b){this.getRebuilt()||this.setRebuilt(new sre.RebuildStree(a));this.colorLeaves_(a);return sre.WalkerUtil.getAttribute(a,this.modality)};
+sre.ColorGenerator.prototype.colorLeaves_=function(a){var b=this,c=[];sre.ColorGenerator.visitStree_(this.getRebuilt().streeRoot,c,{});var d={};c=$jscomp.makeIterator(c);for(var e=c.next();!e.done;d={$jscomp$loop$prop$color$5:d.$jscomp$loop$prop$color$5},e=c.next()){e=e.value;d.$jscomp$loop$prop$color$5=this.contrast.generate();var f=!1;(f=Array.isArray(e)?e.map(function(g){return function(h){return b.colorLeave_(a,h,g.$jscomp$loop$prop$color$5)}}(d)).reduce(function(g,h){return g||h},!1):this.colorLeave_(a,
+e,d.$jscomp$loop$prop$color$5))&&this.contrast.increment()}};sre.ColorGenerator.prototype.colorLeave_=function(a,b,c){return(a=sre.WalkerUtil.getBySemanticId(a,b))?(a.setAttribute(this.modality,c),!0):!1};
+sre.ColorGenerator.visitStree_=function(a,b,c){if(a.childNodes.length){if(a.contentNodes.length&&("punctuated"===a.type&&a.contentNodes.forEach(function(h){return c[h.id]=!0}),"implicit"!==a.role&&b.push(a.contentNodes.map(function(h){return h.id}))),a.childNodes.length)if("implicit"===a.role){var d=[],e=[];a=$jscomp.makeIterator(a.childNodes);for(var f=a.next();!f.done;f=a.next()){var g=[];sre.ColorGenerator.visitStree_(f.value,g,c);2>=g.length&&d.push(g.shift());e=e.concat(g)}b.push(d);e.forEach(function(h){return b.push(h)})}else a.childNodes.forEach(function(h){return sre.ColorGenerator.visitStree_(h,
+b,c)})}else c[a.id]||b.push(a.id)};sre.DirectSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.DirectSpeechGenerator,sre.AbstractSpeechGenerator);sre.DirectSpeechGenerator.prototype.getSpeech=function(a,b){return sre.WalkerUtil.getAttribute(a,this.modality)};sre.DummySpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.DummySpeechGenerator,sre.AbstractSpeechGenerator);sre.DummySpeechGenerator.prototype.getSpeech=function(a,b){return""};sre.TreeSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.TreeSpeechGenerator,sre.AbstractSpeechGenerator);
+sre.TreeSpeechGenerator.prototype.getSpeech=function(a,b){var c=this.generateSpeech(a,b);a.setAttribute(this.modality,c);var d=this.getRebuilt().nodeDict,e;for(e in d){var f=d[e],g=sre.WalkerUtil.getBySemanticId(b,e),h=sre.WalkerUtil.getBySemanticId(a,e);g&&h&&(sre.SpeechGeneratorUtil.addSpeech(h,f,this.modality),this.modality===sre.EnrichMathml.Attribute.SPEECH&&sre.SpeechGeneratorUtil.addPrefix(h,f))}return c};sre.NodeSpeechGenerator=function(){sre.TreeSpeechGenerator.call(this)};goog.inherits(sre.NodeSpeechGenerator,sre.TreeSpeechGenerator);sre.NodeSpeechGenerator.prototype.getSpeech=function(a,b){var c=sre.WalkerUtil.getAttribute(a,this.modality);return c?c:sre.NodeSpeechGenerator.superClass_.getSpeech.call(this,a,b)};sre.SummarySpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.SummarySpeechGenerator,sre.AbstractSpeechGenerator);sre.SummarySpeechGenerator.prototype.getSpeech=function(a,b){sre.SpeechGeneratorUtil.connectAllMactions(b,this.getRebuilt().xml);return this.generateSpeech(a,b)};sre.SpeechGeneratorFactory={};sre.SpeechGeneratorFactory.generator=function(a){return new (sre.SpeechGeneratorFactory.generatorMapping_[a]||sre.SpeechGeneratorFactory.generatorMapping_.Direct)};sre.SpeechGeneratorFactory.generatorMapping_={Adhoc:sre.AdhocSpeechGenerator,Color:sre.ColorGenerator,Direct:sre.DirectSpeechGenerator,Dummy:sre.DummySpeechGenerator,Node:sre.NodeSpeechGenerator,Summary:sre.SummarySpeechGenerator,Tree:sre.TreeSpeechGenerator};sre.EventUtil={};sre.EventUtil.KeyCode={ENTER:13,ESC:27,SPACE:32,PAGE_UP:33,PAGE_DOWN:34,END:35,HOME:36,LEFT:37,UP:38,RIGHT:39,DOWN:40,TAB:9,LESS:188,GREATER:190,DASH:189,0:48,1:49,2:50,3:51,4:52,5:53,6:54,7:55,8:56,9:57,A:65,B:66,C:67,D:68,E:69,F:70,G:71,H:72,I:73,J:74,K:75,L:76,M:77,N:78,O:79,P:80,Q:81,R:82,S:83,T:84,U:85,V:86,W:87,X:88,Y:89,Z:90};sre.EventUtil.Move=function(){var a={},b;for(b in sre.EventUtil.KeyCode)a[sre.EventUtil.KeyCode[b]]=b;return a}();
 sre.EventUtil.EventType={CLICK:"click",DBLCLICK:"dblclick",MOUSEDOWN:"mousedown",MOUSEUP:"mouseup",MOUSEOVER:"mouseover",MOUSEOUT:"mouseout",MOUSEMOVE:"mousemove",SELECTSTART:"selectstart",KEYPRESS:"keypress",KEYDOWN:"keydown",KEYUP:"keyup",TOUCHSTART:"touchstart",TOUCHMOVE:"touchmove",TOUCHEND:"touchend",TOUCHCANCEL:"touchcancel"};sre.EventUtil.Event=function(a,b,c){this.src=a;this.type=b;this.callback=c};sre.EventUtil.Event.prototype.add=function(){this.src.addEventListener(this.type,this.callback)};
 sre.EventUtil.Event.prototype.remove=function(){this.src.removeEventListener(this.type,this.callback)};sre.Focus=function(a,b){this.semanticNodes_=a;this.semanticPrimary_=b;this.domNodes_=[];this.domPrimary_=null;this.allNodes_=[]};sre.Focus.prototype.getSemanticPrimary=function(){return this.semanticPrimary_};sre.Focus.prototype.getSemanticNodes=function(){return this.semanticNodes_};sre.Focus.prototype.getNodes=function(){return this.allNodes_};sre.Focus.prototype.getDomNodes=function(){return this.domNodes_};sre.Focus.prototype.getDomPrimary=function(){return this.domPrimary_};
 sre.Focus.prototype.toString=function(){return"Primary:"+this.domPrimary_+" Nodes:"+this.domNodes_};sre.Focus.prototype.clone=function(){var a=new sre.Focus(this.semanticNodes_,this.semanticPrimary_);a.domNodes_=this.domNodes_;a.domPrimary_=this.domPrimary_;a.allNodes_=this.allNodes_;return a};
-sre.Focus.factory=function(a,b,c,d){var e=function(a){return sre.WalkerUtil.getBySemanticId(d,a)},f=c.nodeDict;c=e(a);e=b.map(e);var g=b.map(function(a){return f[a]});a=new sre.Focus(g,f[a]);a.domNodes_=e;a.domPrimary_=c;a.allNodes_=sre.Focus.generateAllVisibleNodes_(b,e,f,d);return a};
-sre.Focus.generateAllVisibleNodes_=function(a,b,c,d){for(var e=function(a){return sre.WalkerUtil.getBySemanticId(d,a)},f=[],g=0,h=a.length;g<h;g++)if(b[g])f.push(b[g]);else{var k=c[a[g]];if(k){k=k.childNodes.map(function(a){return a.id.toString()});var l=k.map(e);f=f.concat(sre.Focus.generateAllVisibleNodes_(k,l,c,d))}}return f};sre.Levels=function(){this.level_=[]};sre.Levels.prototype.push=function(a){this.level_.push(a)};sre.Levels.prototype.pop=function(){return this.level_.pop()};sre.Levels.prototype.peek=function(){return this.level_[this.level_.length-1]||null};sre.Levels.prototype.indexOf=function(a){var b=this.peek();return b?b.indexOf(a):null};sre.Levels.prototype.find=function(a){var b=this.peek();if(!b)return null;for(var c=0,d=b.length;c<d;c++)if(a(b[c]))return b[c];return null};
-sre.Levels.prototype.get=function(a){var b=this.peek();return!b||0>a||a>=b.length?null:b[a]};sre.Levels.prototype.depth=function(){return this.level_.length};sre.Levels.prototype.clone=function(){var a=new sre.Levels;a.level_=this.level_.slice(0);return a};sre.Levels.prototype.toString=function(){for(var a="",b=0,c;c=this.level_[b];b++)a+="\n"+c.map(function(a){return a.toString()});return a};sre.Walker=function(){};sre.Walker.prototype.isActive=function(){};sre.Walker.prototype.activate=function(){};sre.Walker.prototype.deactivate=function(){};sre.Walker.prototype.speech=function(){};sre.Walker.prototype.getFocus=function(){};sre.Walker.prototype.setFocus=function(a){};sre.Walker.prototype.getDepth=function(){};sre.Walker.prototype.move=function(a){};
-sre.Walker.move={UP:"up",DOWN:"down",LEFT:"left",RIGHT:"right",REPEAT:"repeat",DEPTH:"depth",ENTER:"enter",EXPAND:"expand",HOME:"home",SUMMARY:"summary",DETAIL:"detail",ROW:"row",CELL:"cell"};sre.AbstractWalker=function(a,b,c,d){this.node=a;this.xml=sre.DomUtil.parseInput(d);this.generator=b;this.rebuilt=this.rebuildStree_();this.generator.setRebuilt(this.rebuilt);this.highlighter=c;this.active_=!1;this.keyMapping={};this.keyMapping[sre.EventUtil.KeyCode.UP]=goog.bind(this.up,this);this.keyMapping[sre.EventUtil.KeyCode.DOWN]=goog.bind(this.down,this);this.keyMapping[sre.EventUtil.KeyCode.RIGHT]=goog.bind(this.right,this);this.keyMapping[sre.EventUtil.KeyCode.LEFT]=goog.bind(this.left,
-this);this.keyMapping[sre.EventUtil.KeyCode.TAB]=goog.bind(this.repeat,this);this.keyMapping[sre.EventUtil.KeyCode.ENTER]=goog.bind(this.expand,this);this.keyMapping[sre.EventUtil.KeyCode.SPACE]=goog.bind(this.depth,this);this.keyMapping[sre.EventUtil.KeyCode.HOME]=goog.bind(this.home,this);this.keyMapping[sre.EventUtil.KeyCode.X]=goog.bind(this.summary,this);this.keyMapping[sre.EventUtil.KeyCode.Z]=goog.bind(this.detail,this);this.keyMapping[sre.EventUtil.KeyCode.V]=goog.bind(this.virtualize,this);
-this.keyMapping[sre.EventUtil.KeyCode.P]=goog.bind(this.previous,this);this.keyMapping[sre.EventUtil.KeyCode.U]=goog.bind(this.undo,this);this.dummy_=function(){};this.rootNode=sre.WalkerUtil.getSemanticRoot(a);this.rootId=this.rebuilt.stree.root.id.toString();this.focus_=sre.Focus.factory(this.rootId,[this.rootId],this.rebuilt,this.node);this.moved=sre.Walker.move.ENTER;this.cursors=[]};sre.AbstractWalker.prototype.isActive=function(){return this.active_};
-sre.AbstractWalker.prototype.toggleActive_=function(){this.active_=!this.active_};sre.AbstractWalker.prototype.activate=function(){this.isActive()||(this.generator.start(),this.toggleActive_())};sre.AbstractWalker.prototype.deactivate=function(){this.isActive()&&(this.highlighter.setState(this.node.id,this.primaryId()),this.generator.end(),this.toggleActive_())};sre.AbstractWalker.prototype.getFocus=function(){return this.focus_};sre.AbstractWalker.prototype.setFocus=function(a){this.focus_=a};
-sre.AbstractWalker.prototype.getDepth=function(){return this.levels.depth()-1};
-sre.AbstractWalker.prototype.speech=function(){var a=this.focus_.getDomNodes();if(!a.length)return"";var b=this.specialMove();if(null!==b)return b;switch(this.moved){case sre.Walker.move.DEPTH:return this.depth_();case sre.Walker.move.SUMMARY:return this.summary_();case sre.Walker.move.DETAIL:return this.detail_();default:b=[];for(var c=this.focus_.getSemanticNodes(),d=0,e=a.length;d<e;d++){var f=a[d],g=c[d];b.push(f?this.generator.getSpeech(f,this.xml):sre.SpeechGeneratorUtil.retrieveSpeech(g))}return this.mergePrefix_(b)}};
-sre.AbstractWalker.prototype.mergePrefix_=function(a,b){b=b||[];var c=this.prefix_();c&&a.unshift(c);return sre.AuralRendering.getInstance().merge(b.concat(a))};sre.AbstractWalker.prototype.prefix_=function(){var a=this.focus_.getDomNodes(),b=this.focus_.getSemanticNodes();return a[0]?sre.WalkerUtil.getAttribute(a[0],sre.EnrichMathml.Attribute.PREFIX):sre.SpeechGeneratorUtil.retrievePrefix(b[0])};
-sre.AbstractWalker.prototype.move=function(a){a=this.keyMapping[a];if(!a)return null;a=a();if(!a||a===this.focus_)return!1;this.focus_=a;this.moved===sre.Walker.move.HOME&&(this.levels=this.initLevels());return!0};sre.AbstractWalker.prototype.up=function(){this.moved=sre.Walker.move.UP;return this.focus_};sre.AbstractWalker.prototype.down=function(){this.moved=sre.Walker.move.DOWN;return this.focus_};sre.AbstractWalker.prototype.left=function(){this.moved=sre.Walker.move.LEFT;return this.focus_};
-sre.AbstractWalker.prototype.right=function(){this.moved=sre.Walker.move.RIGHT;return this.focus_};sre.AbstractWalker.prototype.repeat=function(){this.moved=sre.Walker.move.REPEAT;return this.focus_.clone()};sre.AbstractWalker.prototype.depth=function(){this.moved=sre.Walker.move.DEPTH;return this.focus_.clone()};
-sre.AbstractWalker.prototype.depth_=function(){var a=sre.Grammar.getInstance().getParameter("depth");sre.Grammar.getInstance().setParameter("depth",!0);var b=this.focus_.getDomPrimary();b=this.expandable(b)&&[sre.Messages.NAVIGATE.EXPANDABLE]||this.collapsible(b)&&[sre.Messages.NAVIGATE.COLLAPSIBLE]||[];var c=[sre.AuralRendering.getInstance().markup([new sre.AuditoryDescription({text:sre.Messages.NAVIGATE.LEVEL+" "+this.getDepth(),personality:{}})])],d=this.focus_.getSemanticNodes();(d=sre.SpeechGeneratorUtil.retrievePrefix(d[0]))&&
-c.push(d);sre.Grammar.getInstance().setParameter("depth",a);return sre.AuralRendering.getInstance().merge(c.concat(b))};sre.AbstractWalker.prototype.home=function(){this.moved=sre.Walker.move.HOME;return sre.Focus.factory(this.rootId,[this.rootId],this.rebuilt,this.node)};sre.AbstractWalker.prototype.getBySemanticId=function(a){return sre.WalkerUtil.getBySemanticId(this.node,a)};sre.AbstractWalker.prototype.primaryId=function(){return this.focus_.getSemanticPrimary().id.toString()};
-sre.AbstractWalker.prototype.expand=function(){var a=this.focus_.getDomPrimary();a=this.actionable_(a);if(!a)return this.focus_;this.moved=sre.Walker.move.EXPAND;a.onclick();return this.focus_.clone()};sre.AbstractWalker.prototype.actionable_=function(a){return a&&a.parentNode&&this.highlighter.isMactionNode(a.parentNode)?a.parentNode:null};sre.AbstractWalker.prototype.expandable=function(a){return!!this.actionable_(a)&&0===a.childNodes.length};
-sre.AbstractWalker.prototype.collapsible=function(a){return!!this.actionable_(a)&&0<a.childNodes.length};sre.AbstractWalker.prototype.restoreState=function(){if(this.highlighter){var a=this.highlighter.getState(this.node.id);if(a){var b=this.rebuilt.nodeDict[a];for(a=[];b;)a.push(b.id),b=b.parent;for(a.pop();0<a.length;){this.down();b=a.pop();b=this.findFocusOnLevel(b);if(!b)break;this.focus_=b}this.moved=sre.Walker.move.ENTER}}};sre.AbstractWalker.prototype.findFocusOnLevel=goog.abstractMethod;
-sre.AbstractWalker.prototype.initLevels=goog.abstractMethod;sre.AbstractWalker.prototype.rebuildStree_=function(){var a=new sre.RebuildStree(this.xml);sre.SpeechGeneratorUtil.connectMactions(this.node,this.xml,a.xml);return a};sre.AbstractWalker.prototype.previousLevel=function(){var a=this.focus_.getDomPrimary();return a?sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.PARENT):this.focus_.getSemanticPrimary().parent.id.toString()};
-sre.AbstractWalker.prototype.nextLevel=function(){var a=this.focus_.getDomPrimary();if(a){var b=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CHILDREN)),c=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CONTENT)),d=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.TYPE);a=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ROLE);return this.combineContentChildren(d,a,c,b)}c=function(a){return a.id.toString()};
-d=this.rebuilt.nodeDict[this.primaryId()];b=d.childNodes.map(c);c=d.contentNodes.map(c);return 0===b.length?[]:this.combineContentChildren(d.type,d.role,c,b)};sre.AbstractWalker.prototype.combineContentChildren=goog.abstractMethod;sre.AbstractWalker.prototype.singletonFocus=function(a){return this.focusFromId(a,[a])};sre.AbstractWalker.prototype.focusFromId=function(a,b){return sre.Focus.factory(a,b,this.rebuilt,this.node)};
-sre.AbstractWalker.prototype.summary=function(){this.moved=sre.Walker.move.SUMMARY;return this.focus_.clone()};
-sre.AbstractWalker.prototype.summary_=function(){var a=this.focus_.getSemanticPrimary().id.toString();a=this.rebuilt.xml.getAttribute("id")===a?this.rebuilt.xml:sre.DomUtil.querySelectorAllByAttrValue(this.rebuilt.xml,"id",a)[0];var b=a.getAttribute("alternative");a.setAttribute("alternative","summary");var c=sre.SpeechGeneratorUtil.computeSpeechWithoutCache(a);c=sre.AuralRendering.getInstance().markup(c);c=this.mergePrefix_([c]);b?a.setAttribute("alternative",b):a.removeAttribute("alternative");
-return c};sre.AbstractWalker.prototype.detail=function(){this.moved=sre.Walker.move.DETAIL;return this.focus_.clone()};
-sre.AbstractWalker.prototype.detail_=function(){var a=this.focus_.getSemanticPrimary().id.toString();a=this.rebuilt.xml.getAttribute("id")===a?this.rebuilt.xml:sre.DomUtil.querySelectorAllByAttrValue(this.rebuilt.xml,"id",a)[0];var b=a.getAttribute("alternative");a.removeAttribute("alternative");var c=sre.SpeechGeneratorUtil.computeSpeechWithoutCache(a);c=sre.AuralRendering.getInstance().markup(c);c=this.mergePrefix_([c]);a.setAttribute("alternative",b);return c};
-sre.AbstractWalker.prototype.specialMove=function(){return null};sre.AbstractWalker.prototype.virtualize=function(a){this.cursors.push({focus:this.focus_,levels:this.levels,undo:a||!this.cursors.length});this.levels=this.levels.clone();return this.focus_.clone()};sre.AbstractWalker.prototype.previous=function(){var a=this.cursors.pop();if(!a)return this.focus_;this.levels=a.levels;return a.focus};
-sre.AbstractWalker.prototype.undo=function(){do var a=this.cursors.pop();while(a&&!a.undo);if(!a)return this.focus_;this.levels=a.levels;return a.focus};sre.DummyWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d)};goog.inherits(sre.DummyWalker,sre.AbstractWalker);sre.DummyWalker.prototype.up=function(){};sre.DummyWalker.prototype.down=function(){};sre.DummyWalker.prototype.left=function(){};sre.DummyWalker.prototype.right=function(){};sre.DummyWalker.prototype.repeat=function(){};sre.DummyWalker.prototype.depth=function(){};sre.DummyWalker.prototype.home=function(){};sre.DummyWalker.prototype.getDepth=function(){return 0};sre.SemanticWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d);this.levels=this.initLevels();this.restoreState()};goog.inherits(sre.SemanticWalker,sre.AbstractWalker);sre.SemanticWalker.prototype.initLevels=function(){var a=new sre.Levels;a.push([this.getFocus()]);return a};
-sre.SemanticWalker.prototype.up=function(){sre.SemanticWalker.superClass_.up.call(this);var a=this.previousLevel();if(!a)return null;this.levels.pop();return this.levels.find(function(b){return b.getSemanticNodes().some(function(b){return b.id.toString()===a})})};sre.SemanticWalker.prototype.down=function(){sre.SemanticWalker.superClass_.down.call(this);var a=this.nextLevel();if(0===a.length)return null;this.levels.push(a);return a[0]};
+sre.Focus.factory=function(a,b,c,d){var e=function(h){return sre.WalkerUtil.getBySemanticId(d,h)},f=c.nodeDict;c=e(a);e=b.map(e);var g=b.map(function(h){return f[h]});a=new sre.Focus(g,f[a]);a.domNodes_=e;a.domPrimary_=c;a.allNodes_=sre.Focus.generateAllVisibleNodes_(b,e,f,d);return a};
+sre.Focus.generateAllVisibleNodes_=function(a,b,c,d){for(var e=function(m){return sre.WalkerUtil.getBySemanticId(d,m)},f=[],g=0,h=a.length;g<h;g++)if(b[g])f.push(b[g]);else{var k=c[a[g]];if(k){k=k.childNodes.map(function(m){return m.id.toString()});var l=k.map(e);f=f.concat(sre.Focus.generateAllVisibleNodes_(k,l,c,d))}}return f};sre.Levels=function(){this.level_=[]};sre.Levels.prototype.push=function(a){this.level_.push(a)};sre.Levels.prototype.pop=function(){return this.level_.pop()};sre.Levels.prototype.peek=function(){return this.level_[this.level_.length-1]||null};sre.Levels.prototype.indexOf=function(a){var b=this.peek();return b?b.indexOf(a):null};sre.Levels.prototype.find=function(a){var b=this.peek();if(!b)return null;for(var c=0,d=b.length;c<d;c++)if(a(b[c]))return b[c];return null};
+sre.Levels.prototype.get=function(a){var b=this.peek();return!b||0>a||a>=b.length?null:b[a]};sre.Levels.prototype.depth=function(){return this.level_.length};sre.Levels.prototype.clone=function(){var a=new sre.Levels;a.level_=this.level_.slice(0);return a};sre.Levels.prototype.toString=function(){for(var a="",b=0,c;c=this.level_[b];b++)a+="\n"+c.map(function(d){return d.toString()});return a};sre.Walker=function(){};sre.Walker.prototype.isActive=function(){};sre.Walker.prototype.activate=function(){};sre.Walker.prototype.deactivate=function(){};sre.Walker.prototype.speech=function(){};sre.Walker.prototype.getXml=function(){};sre.Walker.prototype.getRebuilt=function(){};sre.Walker.prototype.getFocus=function(a){};sre.Walker.prototype.setFocus=function(a){};sre.Walker.prototype.getDepth=function(){};sre.Walker.prototype.move=function(a){};sre.Walker.prototype.update=function(a){};
+sre.Walker.move={UP:"up",DOWN:"down",LEFT:"left",RIGHT:"right",REPEAT:"repeat",DEPTH:"depth",ENTER:"enter",EXPAND:"expand",HOME:"home",SUMMARY:"summary",DETAIL:"detail",ROW:"row",CELL:"cell"};sre.Walker.STATE_={};sre.Walker.resetState=function(a){delete sre.Walker.STATE_[a]};sre.Walker.setState=function(a,b){sre.Walker.STATE_[a]=b};sre.Walker.getState=function(a){return sre.Walker.STATE_[a]};sre.AbstractWalker=function(a,b,c,d){this.node=a;this.node.id?this.id=this.node.id:this.node.hasAttribute(sre.AbstractWalker.SRE_ID_ATTR)?this.id=this.node.getAttribute(sre.AbstractWalker.SRE_ID_ATTR):(this.node.setAttribute(sre.AbstractWalker.SRE_ID_ATTR,sre.AbstractWalker.ID_COUNTER),this.id=sre.AbstractWalker.ID_COUNTER++);this.generator=b;this.highlighter=c;this.rootNode=sre.WalkerUtil.getSemanticRoot(a);this.rootId=this.rootNode.getAttribute(sre.EnrichMathml.Attribute.ID);this.xmlString_=d;this.focus_=
+this.rebuilt_=this.xml_=null;this.keyMapping={};this.keyMapping[sre.EventUtil.KeyCode.UP]=goog.bind(this.up,this);this.keyMapping[sre.EventUtil.KeyCode.DOWN]=goog.bind(this.down,this);this.keyMapping[sre.EventUtil.KeyCode.RIGHT]=goog.bind(this.right,this);this.keyMapping[sre.EventUtil.KeyCode.LEFT]=goog.bind(this.left,this);this.keyMapping[sre.EventUtil.KeyCode.TAB]=goog.bind(this.repeat,this);this.keyMapping[sre.EventUtil.KeyCode.DASH]=goog.bind(this.expand,this);this.keyMapping[sre.EventUtil.KeyCode.SPACE]=
+goog.bind(this.depth,this);this.keyMapping[sre.EventUtil.KeyCode.HOME]=goog.bind(this.home,this);this.keyMapping[sre.EventUtil.KeyCode.X]=goog.bind(this.summary,this);this.keyMapping[sre.EventUtil.KeyCode.Z]=goog.bind(this.detail,this);this.keyMapping[sre.EventUtil.KeyCode.V]=goog.bind(this.virtualize,this);this.keyMapping[sre.EventUtil.KeyCode.P]=goog.bind(this.previous,this);this.keyMapping[sre.EventUtil.KeyCode.U]=goog.bind(this.undo,this);this.keyMapping[sre.EventUtil.KeyCode.LESS]=goog.bind(this.previousRules,
+this);this.keyMapping[sre.EventUtil.KeyCode.GREATER]=goog.bind(this.nextRules,this);this.active_=!1;this.moved=sre.Walker.move.ENTER;this.cursors=[]};sre.AbstractWalker.prototype.getXml=function(){this.xml_||(this.xml_=sre.DomUtil.parseInput(this.xmlString_));return this.xml_};sre.AbstractWalker.prototype.getRebuilt=function(){this.rebuilt_||(this.rebuilt_=this.rebuildStree());return this.rebuilt_};sre.AbstractWalker.ID_COUNTER=0;sre.AbstractWalker.SRE_ID_ATTR="sre-explorer-id";
+sre.AbstractWalker.prototype.isActive=function(){return this.active_};sre.AbstractWalker.prototype.toggleActive_=function(){this.active_=!this.active_};sre.AbstractWalker.prototype.activate=function(){this.isActive()||(this.generator.start(),this.toggleActive_())};sre.AbstractWalker.prototype.deactivate=function(){this.isActive()&&(sre.Walker.setState(this.id,this.primaryId()),this.generator.end(),this.toggleActive_())};
+sre.AbstractWalker.prototype.getFocus=function(a){this.focus_||(this.focus_=sre.Focus.factory(this.rootId,[this.rootId],this.getRebuilt(),this.node));a&&this.updateFocus();return this.focus_};sre.AbstractWalker.prototype.setFocus=function(a){this.focus_=a};sre.AbstractWalker.prototype.getDepth=function(){return this.levels.depth()-1};sre.AbstractWalker.prototype.isSpeech=function(){return this.generator.modality===sre.EnrichMathml.Attribute.SPEECH};
+sre.AbstractWalker.prototype.speech=function(){var a=this.getFocus().getDomNodes();if(!a.length)return"";var b=this.specialMove();if(null!==b)return b;switch(this.moved){case sre.Walker.move.DEPTH:return this.depth_();case sre.Walker.move.SUMMARY:return this.summary_();case sre.Walker.move.DETAIL:return this.detail_();default:b=[];for(var c=this.getFocus().getSemanticNodes(),d=0,e=a.length;d<e;d++){var f=a[d],g=c[d];b.push(f?this.generator.getSpeech(f,this.getXml()):sre.SpeechGeneratorUtil.retrieveSpeech(g))}return this.mergePrefix_(b)}};
+sre.AbstractWalker.prototype.mergePrefix_=function(a,b){b=b||[];var c=this.isSpeech()?this.prefix_():"",d=sre.AuralRendering.getInstance();c&&a.unshift(c);return d.finalize(d.merge(b.concat(a)))};sre.AbstractWalker.prototype.prefix_=function(){var a=this.getFocus().getDomNodes(),b=this.getFocus().getSemanticNodes();return a[0]?sre.WalkerUtil.getAttribute(a[0],sre.EnrichMathml.Attribute.PREFIX):sre.SpeechGeneratorUtil.retrievePrefix(b[0])};
+sre.AbstractWalker.prototype.move=function(a){a=this.keyMapping[a];if(!a)return null;a=a();if(!a||a===this.getFocus())return!1;this.setFocus(a);this.moved===sre.Walker.move.HOME&&(this.levels=this.initLevels());return!0};sre.AbstractWalker.prototype.up=function(){this.moved=sre.Walker.move.UP;return this.getFocus()};sre.AbstractWalker.prototype.down=function(){this.moved=sre.Walker.move.DOWN;return this.getFocus()};sre.AbstractWalker.prototype.left=function(){this.moved=sre.Walker.move.LEFT;return this.getFocus()};
+sre.AbstractWalker.prototype.right=function(){this.moved=sre.Walker.move.RIGHT;return this.getFocus()};sre.AbstractWalker.prototype.repeat=function(){this.moved=sre.Walker.move.REPEAT;return this.getFocus().clone()};sre.AbstractWalker.prototype.depth=function(){this.moved=this.isSpeech()?sre.Walker.move.DEPTH:sre.Walker.move.REPEAT;return this.getFocus().clone()};
+sre.AbstractWalker.prototype.depth_=function(){var a=sre.Grammar.getInstance().getParameter("depth");sre.Grammar.getInstance().setParameter("depth",!0);var b=this.getFocus().getDomPrimary();b=this.expandable(b)&&[sre.Messages.NAVIGATE.EXPANDABLE]||this.collapsible(b)&&[sre.Messages.NAVIGATE.COLLAPSIBLE]||[];var c=[sre.AuralRendering.getInstance().markup([new sre.AuditoryDescription({text:sre.Messages.NAVIGATE.LEVEL+" "+this.getDepth(),personality:{}})])],d=this.getFocus().getSemanticNodes();d=sre.SpeechGeneratorUtil.retrievePrefix(d[0]);
+var e=sre.AuralRendering.getInstance();d&&c.push(d);sre.Grammar.getInstance().setParameter("depth",a);return e.finalize(e.merge(c.concat(b)))};sre.AbstractWalker.prototype.home=function(){this.moved=sre.Walker.move.HOME;return sre.Focus.factory(this.rootId,[this.rootId],this.getRebuilt(),this.node)};sre.AbstractWalker.prototype.getBySemanticId=function(a){return sre.WalkerUtil.getBySemanticId(this.node,a)};sre.AbstractWalker.prototype.primaryId=function(){return this.getFocus().getSemanticPrimary().id.toString()};
+sre.AbstractWalker.prototype.expand=function(){var a=this.getFocus().getDomPrimary();a=this.actionable_(a);if(!a)return this.getFocus();this.moved=sre.Walker.move.EXPAND;a.dispatchEvent(new Event("click"));return this.getFocus().clone()};sre.AbstractWalker.prototype.actionable_=function(a){return a&&a.parentNode&&this.highlighter.isMactionNode(a.parentNode)?a.parentNode:null};sre.AbstractWalker.prototype.expandable=function(a){return!!this.actionable_(a)&&0===a.childNodes.length};
+sre.AbstractWalker.prototype.collapsible=function(a){return!!this.actionable_(a)&&0<a.childNodes.length};sre.AbstractWalker.prototype.restoreState=function(){if(this.highlighter){var a=sre.Walker.getState(this.id);if(a){var b=this.getRebuilt().nodeDict[a];for(a=[];b;)a.push(b.id),b=b.parent;for(a.pop();0<a.length;){this.down();b=a.pop();b=this.findFocusOnLevel(b);if(!b)break;this.setFocus(b)}this.moved=sre.Walker.move.ENTER}}};
+sre.AbstractWalker.prototype.updateFocus=function(){this.setFocus(sre.Focus.factory(this.getFocus().getSemanticPrimary().id.toString(),this.getFocus().getSemanticNodes().map(function(a){return a.id}),this.getRebuilt(),this.node))};sre.AbstractWalker.prototype.findFocusOnLevel=goog.abstractMethod;sre.AbstractWalker.prototype.initLevels=goog.abstractMethod;
+sre.AbstractWalker.prototype.rebuildStree=function(){var a=new sre.RebuildStree(this.getXml());this.rootId=a.stree.root.id.toString();this.generator.setRebuilt(a);this.focus_=sre.Focus.factory(this.rootId,[this.rootId],a,this.node);this.levels=this.initLevels();sre.SpeechGeneratorUtil.connectMactions(this.node,this.getXml(),a.xml);return a};
+sre.AbstractWalker.prototype.previousLevel=function(){var a=this.getFocus().getDomPrimary();return a?sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.PARENT):this.getFocus().getSemanticPrimary().parent.id.toString()};
+sre.AbstractWalker.prototype.nextLevel=function(){var a=this.getFocus().getDomPrimary();if(a){var b=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CHILDREN)),c=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CONTENT)),d=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.TYPE);a=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ROLE);return this.combineContentChildren(d,a,c,b)}c=function(e){return e.id.toString()};
+d=this.getRebuilt().nodeDict[this.primaryId()];b=d.childNodes.map(c);c=d.contentNodes.map(c);return 0===b.length?[]:this.combineContentChildren(d.type,d.role,c,b)};sre.AbstractWalker.prototype.combineContentChildren=goog.abstractMethod;sre.AbstractWalker.prototype.singletonFocus=function(a){return this.focusFromId(a,[a])};sre.AbstractWalker.prototype.focusFromId=function(a,b){return sre.Focus.factory(a,b,this.getRebuilt(),this.node)};
+sre.AbstractWalker.prototype.summary=function(){this.moved=this.isSpeech()?sre.Walker.move.SUMMARY:sre.Walker.move.REPEAT;return this.getFocus().clone()};sre.AbstractWalker.prototype.summary_=function(){var a=this.getFocus().getSemanticPrimary().id.toString();a=this.getRebuilt().xml.getAttribute("id")===a?this.getRebuilt().xml:sre.DomUtil.querySelectorAllByAttrValue(this.getRebuilt().xml,"id",a)[0];a=sre.SpeechGeneratorUtil.retrieveSummary(a);return this.mergePrefix_([a])};
+sre.AbstractWalker.prototype.detail=function(){this.moved=this.isSpeech()?sre.Walker.move.DETAIL:sre.Walker.move.REPEAT;return this.getFocus().clone()};
+sre.AbstractWalker.prototype.detail_=function(){var a=this.getFocus().getSemanticPrimary().id.toString();a=this.getRebuilt().xml.getAttribute("id")===a?this.getRebuilt().xml:sre.DomUtil.querySelectorAllByAttrValue(this.getRebuilt().xml,"id",a)[0];var b=a.getAttribute("alternative");a.removeAttribute("alternative");var c=sre.SpeechGeneratorUtil.computeSpeechWithoutCache(a);c=sre.AuralRendering.getInstance().markup(c);c=this.mergePrefix_([c]);a.setAttribute("alternative",b);return c};
+sre.AbstractWalker.prototype.specialMove=function(){return null};sre.AbstractWalker.prototype.virtualize=function(a){this.cursors.push({focus:this.getFocus(),levels:this.levels,undo:a||!this.cursors.length});this.levels=this.levels.clone();return this.getFocus().clone()};sre.AbstractWalker.prototype.previous=function(){var a=this.cursors.pop();if(!a)return this.getFocus();this.levels=a.levels;return a.focus};
+sre.AbstractWalker.prototype.undo=function(){do var a=this.cursors.pop();while(a&&!a.undo);if(!a)return this.getFocus();this.levels=a.levels;return a.focus};sre.AbstractWalker.prototype.update=function(a){this.generator.setOptions(a);sre.System.getInstance().setupEngine(a);sre.SpeechGeneratorFactory.generator("Tree").getSpeech(this.node,this.getXml())};
+sre.AbstractWalker.prototype.nextRules=function(){var a=this.generator.getOptions();if("speech"!==a.modality)return this.getFocus();sre.Engine.DOMAIN_TO_STYLES[a.domain]=a.style;a.domain="mathspeak"===a.domain?"clearspeak":"mathspeak";a.style=sre.Engine.DOMAIN_TO_STYLES[a.domain];this.update(a);this.moved=sre.Walker.move.REPEAT;return this.getFocus().clone()};
+sre.AbstractWalker.prototype.nextStyle=function(a,b){if("mathspeak"===a){a=["default","brief","sbrief"];var c=a.indexOf(b);return-1===c?b:c>=a.length-1?a[0]:a[c+1]}if("clearspeak"===a){var d=sre.ClearspeakPreferences.getLocalePreferences().en;if(!d)return"default";a=sre.ClearspeakPreferences.relevantPreferences(this.getFocus().getSemanticPrimary());c=sre.ClearspeakPreferences.findPreference(b,a);d=d[a].map(function(e){return e.split("_")[1]});c=d.indexOf(c);return-1===c?b:sre.ClearspeakPreferences.addPreference(b,
+a,c>=d.length-1?d[0]:d[c+1])}return b};sre.AbstractWalker.prototype.previousRules=function(){var a=this.generator.getOptions();if("speech"!==a.modality)return this.getFocus();a.style=this.nextStyle(a.domain,a.style);this.update(a);this.moved=sre.Walker.move.REPEAT;return this.getFocus().clone()};sre.DummyWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d)};goog.inherits(sre.DummyWalker,sre.AbstractWalker);sre.DummyWalker.prototype.up=function(){};sre.DummyWalker.prototype.down=function(){};sre.DummyWalker.prototype.left=function(){};sre.DummyWalker.prototype.right=function(){};sre.DummyWalker.prototype.repeat=function(){};sre.DummyWalker.prototype.depth=function(){};sre.DummyWalker.prototype.home=function(){};sre.DummyWalker.prototype.getDepth=function(){return 0};
+sre.DummyWalker.prototype.initLevels=function(){};sre.SemanticWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d);this.levels=null;this.restoreState()};goog.inherits(sre.SemanticWalker,sre.AbstractWalker);sre.SemanticWalker.prototype.initLevels=function(){var a=new sre.Levels;a.push([this.getFocus()]);return a};
+sre.SemanticWalker.prototype.up=function(){sre.SemanticWalker.superClass_.up.call(this);var a=this.previousLevel();if(!a)return null;this.levels.pop();return this.levels.find(function(b){return b.getSemanticNodes().some(function(c){return c.id.toString()===a})})};sre.SemanticWalker.prototype.down=function(){sre.SemanticWalker.superClass_.down.call(this);var a=this.nextLevel();if(0===a.length)return null;this.levels.push(a);return a[0]};
 sre.SemanticWalker.prototype.combineContentChildren=function(a,b,c,d){switch(a){case sre.SemanticAttr.Type.RELSEQ:case sre.SemanticAttr.Type.INFIXOP:case sre.SemanticAttr.Type.MULTIREL:return this.makePairList(d,c);case sre.SemanticAttr.Type.PREFIXOP:return[this.focusFromId(d[0],c.concat(d))];case sre.SemanticAttr.Type.POSTFIXOP:return[this.focusFromId(d[0],d.concat(c))];case sre.SemanticAttr.Type.MATRIX:case sre.SemanticAttr.Type.VECTOR:case sre.SemanticAttr.Type.FENCED:return[this.focusFromId(d[0],
 [c[0],d[0],c[1]])];case sre.SemanticAttr.Type.CASES:return[this.focusFromId(d[0],[c[0],d[0]])];case sre.SemanticAttr.Type.PUNCTUATED:return b===sre.SemanticAttr.Role.TEXT?d.map(goog.bind(this.singletonFocus,this)):d.length===c.length?c.map(goog.bind(this.singletonFocus,this)):this.combinePunctuations(d,c,[],[]);case sre.SemanticAttr.Type.APPL:return[this.focusFromId(d[0],[d[0],c[0]]),this.singletonFocus(d[1])];case sre.SemanticAttr.Type.ROOT:return[this.singletonFocus(d[1]),this.singletonFocus(d[0])];
 default:return d.map(goog.bind(this.singletonFocus,this))}};sre.SemanticWalker.prototype.combinePunctuations=function(a,b,c,d){if(0===a.length)return d;var e=a.shift(),f=b.shift();if(e===f)return c.push(f),this.combinePunctuations(a,b,c,d);b.unshift(f);c.push(e);if(a.length===b.length)return d.push(this.focusFromId(e,c.concat(b))),d;d.push(this.focusFromId(e,c));return this.combinePunctuations(a,b,[],d)};
-sre.SemanticWalker.prototype.makePairList=function(a,b){if(0===a.length)return[];if(1===a.length)return[this.singletonFocus(a[0])];for(var c=[this.singletonFocus(a.shift())],d=0,e=a.length;d<e;d++)c.push(this.focusFromId(a[d],[b[d],a[d]]));return c};sre.SemanticWalker.prototype.left=function(){sre.SemanticWalker.superClass_.left.call(this);var a=this.levels.indexOf(this.getFocus())-1;return(a=this.levels.get(a))?a:null};
-sre.SemanticWalker.prototype.right=function(){sre.SemanticWalker.superClass_.right.call(this);var a=this.levels.indexOf(this.getFocus())+1;return(a=this.levels.get(a))?a:null};sre.SemanticWalker.prototype.findFocusOnLevel=function(a){return this.levels.find(function(b){return b.getSemanticPrimary().id===a})};sre.SyntaxWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d);this.levels=this.initLevels();this.restoreState()};goog.inherits(sre.SyntaxWalker,sre.AbstractWalker);sre.SyntaxWalker.prototype.initLevels=function(){var a=new sre.Levels;a.push([this.primaryId()]);return a};sre.SyntaxWalker.prototype.up=function(){sre.SyntaxWalker.superClass_.up.call(this);var a=this.previousLevel();if(!a)return null;this.levels.pop();return this.singletonFocus(a)};
+sre.SemanticWalker.prototype.makePairList=function(a,b){if(0===a.length)return[];if(1===a.length)return[this.singletonFocus(a[0])];for(var c=[this.singletonFocus(a.shift())],d=0,e=a.length;d<e;d++)c.push(this.focusFromId(a[d],[b[d],a[d]]));return c};sre.SemanticWalker.prototype.left=function(){sre.SemanticWalker.superClass_.left.call(this);var a=this.levels.indexOf(this.getFocus());return null===a?null:(a=this.levels.get(a-1))?a:null};
+sre.SemanticWalker.prototype.right=function(){sre.SemanticWalker.superClass_.right.call(this);var a=this.levels.indexOf(this.getFocus());return null===a?null:(a=this.levels.get(a+1))?a:null};sre.SemanticWalker.prototype.findFocusOnLevel=function(a){return this.levels.find(function(b){return b.getSemanticPrimary().id===a})};sre.SyntaxWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d);this.levels=null;this.restoreState()};goog.inherits(sre.SyntaxWalker,sre.AbstractWalker);sre.SyntaxWalker.prototype.initLevels=function(){var a=new sre.Levels;a.push([this.primaryId()]);return a};sre.SyntaxWalker.prototype.up=function(){sre.SyntaxWalker.superClass_.up.call(this);var a=this.previousLevel();if(!a)return null;this.levels.pop();return this.singletonFocus(a)};
 sre.SyntaxWalker.prototype.down=function(){sre.SyntaxWalker.superClass_.down.call(this);var a=this.nextLevel();if(0===a.length)return null;var b=this.singletonFocus(a[0]);b&&this.levels.push(a);return b};
 sre.SyntaxWalker.prototype.combineContentChildren=function(a,b,c,d){switch(a){case sre.SemanticAttr.Type.RELSEQ:case sre.SemanticAttr.Type.INFIXOP:case sre.SemanticAttr.Type.MULTIREL:return sre.BaseUtil.interleaveLists(d,c);case sre.SemanticAttr.Type.PREFIXOP:return c.concat(d);case sre.SemanticAttr.Type.POSTFIXOP:return d.concat(c);case sre.SemanticAttr.Type.MATRIX:case sre.SemanticAttr.Type.VECTOR:case sre.SemanticAttr.Type.FENCED:return d.unshift(c[0]),d.push(c[1]),d;case sre.SemanticAttr.Type.CASES:return d.unshift(c[0]),
-d;case sre.SemanticAttr.Type.PUNCTUATED:return b===sre.SemanticAttr.Role.TEXT?sre.BaseUtil.interleaveLists(d,c):d;case sre.SemanticAttr.Type.APPL:return[d[0],c[0],d[1]];case sre.SemanticAttr.Type.ROOT:return[d[1],d[0]];default:return d}};sre.SyntaxWalker.prototype.left=function(){sre.SyntaxWalker.superClass_.left.call(this);var a=this.levels.indexOf(this.primaryId())-1;return(a=this.levels.get(a))?this.singletonFocus(a):null};
-sre.SyntaxWalker.prototype.right=function(){sre.SyntaxWalker.superClass_.right.call(this);var a=this.levels.indexOf(this.primaryId())+1;return(a=this.levels.get(a))?this.singletonFocus(a):null};sre.SyntaxWalker.prototype.findFocusOnLevel=function(a){return this.singletonFocus(a.toString())};sre.TableWalker=function(a,b,c,d){sre.SyntaxWalker.call(this,a,b,c,d);this.modifier=!1;this.keyMapping[sre.EventUtil.KeyCode["0"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["1"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["2"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["3"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["4"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["5"]]=
+d;case sre.SemanticAttr.Type.PUNCTUATED:return b===sre.SemanticAttr.Role.TEXT?sre.BaseUtil.interleaveLists(d,c):d;case sre.SemanticAttr.Type.APPL:return[d[0],c[0],d[1]];case sre.SemanticAttr.Type.ROOT:return[d[1],d[0]];default:return d}};sre.SyntaxWalker.prototype.left=function(){sre.SyntaxWalker.superClass_.left.call(this);var a=this.levels.indexOf(this.primaryId());return null===a?null:(a=this.levels.get(a-1))?this.singletonFocus(a):null};
+sre.SyntaxWalker.prototype.right=function(){sre.SyntaxWalker.superClass_.right.call(this);var a=this.levels.indexOf(this.primaryId());return null===a?null:(a=this.levels.get(a+1))?this.singletonFocus(a):null};sre.SyntaxWalker.prototype.findFocusOnLevel=function(a){return this.singletonFocus(a.toString())};sre.TableWalker=function(a,b,c,d){sre.SyntaxWalker.call(this,a,b,c,d);this.modifier=!1;this.keyMapping[sre.EventUtil.KeyCode["0"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["1"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["2"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["3"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["4"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["5"]]=
 goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["6"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["7"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["8"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["9"]]=goog.bind(this.jumpCell,this);this.key_=null;this.row_=0;this.firstJump=this.currentTable_=null};goog.inherits(sre.TableWalker,sre.SyntaxWalker);
 sre.TableWalker.prototype.move=function(a){this.key_=a;a=sre.TableWalker.superClass_.move.call(this,a);this.modifier=!1;return a};sre.TableWalker.prototype.up=function(){this.moved=sre.Walker.move.UP;return this.eligibleCell_()?this.verticalMove_(!1):sre.TableWalker.superClass_.up.call(this)};sre.TableWalker.prototype.down=function(){this.moved=sre.Walker.move.DOWN;return this.eligibleCell_()?this.verticalMove_(!0):sre.TableWalker.superClass_.down.call(this)};
 sre.TableWalker.ELIGIBLE_CELL_ROLES=[sre.SemanticAttr.Role.DETERMINANT,sre.SemanticAttr.Role.ROWVECTOR,sre.SemanticAttr.Role.BINOMIAL,sre.SemanticAttr.Role.SQUAREMATRIX,sre.SemanticAttr.Role.MULTILINE,sre.SemanticAttr.Role.MATRIX,sre.SemanticAttr.Role.VECTOR,sre.SemanticAttr.Role.CASES,sre.SemanticAttr.Role.TABLE];sre.TableWalker.ELIGIBLE_TABLE_TYPES=[sre.SemanticAttr.Type.MULTILINE,sre.SemanticAttr.Type.MATRIX,sre.SemanticAttr.Type.VECTOR,sre.SemanticAttr.Type.CASES,sre.SemanticAttr.Type.TABLE];
 sre.TableWalker.prototype.eligibleCell_=function(){var a=this.getFocus().getSemanticPrimary();return this.modifier&&a.type===sre.SemanticAttr.Type.CELL&&-1!==sre.TableWalker.ELIGIBLE_CELL_ROLES.indexOf(a.role)};
 sre.TableWalker.prototype.verticalMove_=function(a){var b=this.previousLevel();if(!b)return null;var c=this.getFocus(),d=this.levels.indexOf(this.primaryId()),e=this.levels.pop();b=this.levels.indexOf(b);a=this.levels.get(a?b+1:b-1);if(!a)return this.levels.push(e),null;this.setFocus(this.singletonFocus(a));a=this.nextLevel();if(!a[d])return this.setFocus(c),this.levels.push(e),null;this.levels.push(a);return this.singletonFocus(a[d])};
-sre.TableWalker.prototype.jumpCell=function(){if(!this.isInTable_())return this.getFocus();if(this.moved===sre.Walker.move.ROW){this.moved=sre.Walker.move.CELL;var a=this.key_-sre.EventUtil.KeyCode["0"];return this.isLegalJump_(this.row_,a)?this.jumpCell_(this.row_,a):this.getFocus()}a=this.key_-sre.EventUtil.KeyCode["0"];if(a>this.currentTable_.childNodes.length)return this.getFocus();this.row_=a;this.moved=sre.Walker.move.ROW;return this.getFocus().clone()};
+sre.TableWalker.prototype.jumpCell=function(){if(!this.isInTable_()||null===this.key_)return this.getFocus();if(this.moved===sre.Walker.move.ROW){this.moved=sre.Walker.move.CELL;var a=this.key_-sre.EventUtil.KeyCode["0"];return this.isLegalJump_(this.row_,a)?this.jumpCell_(this.row_,a):this.getFocus()}a=this.key_-sre.EventUtil.KeyCode["0"];if(a>this.currentTable_.childNodes.length)return this.getFocus();this.row_=a;this.moved=sre.Walker.move.ROW;return this.getFocus().clone()};
 sre.TableWalker.prototype.jumpCell_=function(a,b){this.firstJump?this.virtualize(!1):(this.firstJump=this.getFocus(),this.virtualize(!0));var c=this.currentTable_.id.toString();do var d=this.levels.pop();while(-1===d.indexOf(c));this.levels.push(d);this.setFocus(this.singletonFocus(c));this.levels.push(this.nextLevel());a=this.currentTable_.childNodes[a-1];this.setFocus(this.singletonFocus(a.id.toString()));this.levels.push(this.nextLevel());return this.singletonFocus(a.childNodes[b-1].id.toString())};
-sre.TableWalker.prototype.isLegalJump_=function(a,b){var c=sre.DomUtil.querySelectorAllByAttrValue(this.rebuilt.xml,"id",this.currentTable_.id.toString())[0];if(!c||c.hasAttribute("alternative"))return!1;a=this.currentTable_.childNodes[a-1];if(!a)return!1;c=sre.DomUtil.querySelectorAllByAttrValue(c,"id",a.id.toString())[0];return!c||c.hasAttribute("alternative")?!1:!(!a||!a.childNodes[b-1])};
-sre.TableWalker.prototype.isInTable_=function(){for(var a=this.getFocus().getSemanticPrimary();a;){if(-1!==sre.TableWalker.ELIGIBLE_TABLE_TYPES.indexOf(a.type))return this.currentTable_=a,!0;a=a.parent}return!1};sre.TableWalker.prototype.undo=function(){var a=sre.TableWalker.superClass_.undo.call(this);a===this.firstJump&&(this.firstJump=null);return a};sre.WalkerFactory={};sre.WalkerFactory.walker=function(a,b,c,d,e){return new (sre.WalkerFactory.walkerMapping_[a]||sre.WalkerFactory.walkerMapping_.Dummy)(b,c,d,e)};sre.WalkerFactory.walkerMapping_={Dummy:sre.DummyWalker,Semantic:sre.SemanticWalker,Syntax:sre.SyntaxWalker,Table:sre.TableWalker};sre.System=function(){this.version=sre.Variables.VERSION};goog.addSingletonGetter(sre.System);sre.System.Error=function(a){Error.call(this);this.message=a||"";this.name="System Error"};goog.inherits(sre.System.Error,Error);sre.System.LocalStorage_=function(){this.speechGenerator=this.walker=null};goog.addSingletonGetter(sre.System.LocalStorage_);
-sre.System.prototype.setupEngine=function(a){var b=sre.Engine.getInstance(),c=function(c){b[c]=a[c]||b[c]};c("mode");sre.System.prototype.configBlocks_(a);["strict","cache","semantics","structure"].forEach(function(c){void 0!==a[c]&&(b[c]=!!a[c])});"markup style domain speech walker locale".split(" ").forEach(c);a.json&&(sre.SystemExternal.jsonPath=sre.BaseUtil.makePath(a.json));a.xpath&&(sre.SystemExternal.WGXpath=a.xpath);b.setupBrowsers();b.ruleSets=a.rules?a.rules:sre.SpeechRuleStores.availableSets();
-sre.SpeechRuleEngine.getInstance().parameterize(b.ruleSets);b.dynamicCstr=sre.DynamicCstr.create(b.locale,b.domain,b.style);b.comparator=new sre.DynamicCstr.DefaultComparator(b.dynamicCstr,sre.DynamicProperties.create([sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]],["short",sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE]]));sre.L10n.setLocale()};
-sre.System.prototype.configBlocks_=function(a){if(sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP)for(var b=document.documentElement.querySelectorAll('script[type="text/x-sre-config"]'),c=0,d=b.length;c<d;c++)try{var e=b[c].innerHTML,f=JSON.parse(e),g;for(g in f)a[g]=f[g]}catch(h){sre.Debugger.getInstance().output("Illegal configuration ",e)}};
-sre.System.prototype.toSpeech=function(a){return(a=sre.System.getInstance().parseExpression_(a,sre.Engine.getInstance().semantics))?sre.System.getInstance().processXml(a):""};sre.System.prototype.processExpression=sre.System.prototype.toSpeech;sre.System.prototype.toSemantic=function(a){return sre.System.getInstance().parseExpression_(a,!0)};
-sre.System.prototype.toJson=function(a){if(sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP)throw new sre.System.Error("JSON translation not possible in browser.");return(a=sre.System.getInstance().parseExpression_(a,!0))?sre.SystemExternal.xm.tojson(a.toString()):{}};sre.System.prototype.toDescription=function(a){return(a=sre.System.getInstance().parseExpression_(a,sre.Engine.getInstance().semantics))?sre.SpeechGeneratorUtil.computeSpeech(a):[]};
-sre.System.prototype.toEnriched=function(a){a=sre.Enrich.semanticMathmlSync(a);var b=sre.WalkerUtil.getSemanticRoot(a);switch(sre.Engine.getInstance().speech){case sre.Engine.Speech.SHALLOW:var c=sre.SpeechGeneratorFactory.generator("Adhoc");c.getSpeech(b,a);break;case sre.Engine.Speech.DEEP:c=sre.SpeechGeneratorFactory.generator("Tree"),c.getSpeech(b,a)}return a};sre.System.prototype.fileToSpeech=function(a,b){sre.System.getInstance().processFile_(sre.System.getInstance().toSpeech,a,b)};
-sre.System.prototype.processFile=sre.System.prototype.fileToSpeech;sre.System.prototype.fileToSemantic=function(a,b){sre.System.getInstance().processFile_(function(a){return sre.System.getInstance().toSemantic(a).toString()},a,b)};sre.System.prototype.fileToJson=function(a,b){sre.System.getInstance().processFile_(function(a){return JSON.stringify(sre.System.getInstance().toJson(a))},a,b)};
-sre.System.prototype.fileToDescription=function(a,b){sre.System.getInstance().processFile_(function(a){return JSON.stringify(sre.System.getInstance().toDescription(a))},a,b)};sre.System.prototype.fileToEnriched=function(a,b){sre.System.getInstance().processFile_(function(a){return sre.System.getInstance().toEnriched(a).toString()},a,b)};sre.System.prototype.processXml=function(a){a=sre.SpeechGeneratorUtil.computeSpeech(a);return sre.AuralRendering.getInstance().markup(a)};
-sre.System.prototype.parseExpression_=function(a,b){var c=null;try{c=sre.DomUtil.parseInput(a,sre.System.Error),b&&(c=sre.System.getInstance().getSemanticTree(c)),sre.Debugger.getInstance().generateOutput(goog.bind(function(){return c.toString()},this))}catch(d){console.log("Parse Error: "+d.message)}return c};sre.System.prototype.getSemanticTree=function(a){return sre.Semantic.xmlTree(a)};
-sre.System.prototype.processFile_=function(a,b,c){sre.Engine.isReady()?sre.Engine.getInstance().mode===sre.Engine.Mode.SYNC?this.processFileSync_(a,b,c):this.processFileAsync_(a,b,c):setTimeout(goog.bind(function(){this.processFile_(a,b,c)},this),100)};sre.System.prototype.inputFileSync_=function(a){try{var b=sre.SystemExternal.fs.readFileSync(a,{encoding:"utf8"})}catch(c){throw new sre.System.Error("Can not open file: "+a);}return b};
-sre.System.prototype.processFileSync_=function(a,b,c){b=sre.System.getInstance().inputFileSync_(b);a=a(b);if(c)try{sre.SystemExternal.fs.writeFileSync(c,a,function(){})}catch(d){throw new sre.System.Error("Can not write to file: "+c);}else console.log(a)};sre.System.prototype.inputFileAsync_=function(a,b){sre.SystemExternal.fs.readFile(a,{encoding:"utf8"},goog.bind(function(c,d){if(c)throw new sre.System.Error("Can not open file: "+a);b(d)},this))};
-sre.System.prototype.processFileAsync_=function(a,b,c){sre.System.getInstance().inputFileAsync_(b,goog.bind(function(b){b=a(b);c?sre.SystemExternal.fs.writeFile(c,b,function(a){if(a)throw new sre.System.Error("Can not write to file: "+c);}):console.log(b)},this))};
-sre.System.prototype.walk=function(a){var b=sre.SpeechGeneratorFactory.generator("Node");sre.System.LocalStorage_.getInstance().speechGenerator=b;var c=sre.HighlighterFactory.highlighter({color:"black"},{color:"white"},{renderer:"NativeMML"});a=sre.System.getInstance().toEnriched(a);var d=(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(a);sre.System.LocalStorage_.getInstance().walker=sre.WalkerFactory.walker(sre.Engine.getInstance().walker,a,b,c,d);return sre.System.LocalStorage_.getInstance().walker.speech()};
-sre.System.prototype.move=function(a){if(!sre.System.LocalStorage_.getInstance().walker)return null;var b="string"===typeof a?sre.EventUtil.KeyCode[a.toUpperCase()]:a;return!1===sre.System.LocalStorage_.getInstance().walker.move(b)?sre.AuralRendering.getInstance().error(a):sre.System.LocalStorage_.getInstance().walker.speech()};sre.Mathjax={};
+sre.TableWalker.prototype.isLegalJump_=function(a,b){var c=sre.DomUtil.querySelectorAllByAttrValue(this.getRebuilt().xml,"id",this.currentTable_.id.toString())[0];if(!c||c.hasAttribute("alternative"))return!1;a=this.currentTable_.childNodes[a-1];if(!a)return!1;c=sre.DomUtil.querySelectorAllByAttrValue(c,"id",a.id.toString())[0];return!c||c.hasAttribute("alternative")?!1:!(!a||!a.childNodes[b-1])};
+sre.TableWalker.prototype.isInTable_=function(){for(var a=this.getFocus().getSemanticPrimary();a;){if(-1!==sre.TableWalker.ELIGIBLE_TABLE_TYPES.indexOf(a.type))return this.currentTable_=a,!0;a=a.parent}return!1};sre.TableWalker.prototype.undo=function(){var a=sre.TableWalker.superClass_.undo.call(this);a===this.firstJump&&(this.firstJump=null);return a};sre.WalkerFactory={};sre.WalkerFactory.walker=function(a,b,c,d,e){return new (sre.WalkerFactory.walkerMapping_[a.toLowerCase()]||sre.WalkerFactory.walkerMapping_.dummy)(b,c,d,e)};sre.WalkerFactory.walkerMapping_={dummy:sre.DummyWalker,semantic:sre.SemanticWalker,syntax:sre.SyntaxWalker,table:sre.TableWalker};sre.ProcessorFactory={};sre.ProcessorFactory.PROCESSORS_={};sre.ProcessorFactory.get_=function(a){var b=sre.ProcessorFactory.PROCESSORS_[a.toLowerCase()];if(!b)throw new sre.Engine.Error("Unknown processor "+a);return b};sre.ProcessorFactory.process=function(a,b){return sre.ProcessorFactory.get_(a).processor(b)};sre.ProcessorFactory.print=function(a,b){a=sre.ProcessorFactory.get_(a);return sre.Engine.getInstance().pprint?a.pprint(b):a.print(b)};
+sre.ProcessorFactory.output=function(a,b){a=sre.ProcessorFactory.get_(a);b=a.processor(b);return sre.Engine.getInstance().pprint?a.pprint(b):a.print(b)};sre.ProcessorFactory.keypress=function(a,b){a=sre.ProcessorFactory.get_(a);b=a.key?a.key(b):b;b=a.processor(b);return sre.Engine.getInstance().pprint?a.pprint(b):a.print(b)};
+sre.Processor=function(a,b){this.name=a;this.processor=b.processor;this.print=b.print||sre.Processor.stringify_;this.pprint=b.pprint||this.print;sre.ProcessorFactory.PROCESSORS_[this.name]=this};sre.KeyProcessor=function(a,b){sre.Processor.call(this,a,b);this.key=b.key||sre.KeyProcessor.getKey_};goog.inherits(sre.KeyProcessor,sre.Processor);sre.KeyProcessor.getKey_=function(a){return"string"===typeof a?sre.EventUtil.KeyCode[a.toUpperCase()]:a};
+sre.Processor.LocalState_={walker:null,speechGenerator:null,highlighter:null};sre.Processor.stringify_=function(a){return a?a.toString():a};new sre.Processor("semantic",{processor:function(a){a=sre.DomUtil.parseInput(a);return sre.Semantic.xmlTree(a)},pprint:function(a){return sre.DomUtil.formatXml(a.toString())}});
+new sre.Processor("speech",{processor:function(a){a=sre.DomUtil.parseInput(a);a=sre.Semantic.xmlTree(a);a=sre.SpeechGeneratorUtil.computeSpeech(a);var b=sre.AuralRendering.getInstance();return b.finalize(b.markup(a))},pprint:function(a){a=a.toString();return sre.AuralRendering.ofType(sre.XmlRenderer)?sre.DomUtil.formatXml(a):a}});
+new sre.Processor("json",{processor:function(a){a=sre.DomUtil.parseInput(a,sre.Engine.Error);return sre.Semantic.getTree(a).toJson()},print:function(a){return JSON.stringify(a)},pprint:function(a){return JSON.stringify(a,null,2)}});new sre.Processor("description",{processor:function(a){a=sre.DomUtil.parseInput(a);a=sre.Semantic.xmlTree(a);return sre.SpeechGeneratorUtil.computeSpeech(a)},print:function(a){return JSON.stringify(a)},pprint:function(a){return JSON.stringify(a,null,2)}});
+new sre.Processor("enriched",{processor:function(a){a=sre.Enrich.semanticMathmlSync(a);var b=sre.WalkerUtil.getSemanticRoot(a);switch(sre.Engine.getInstance().speech){case sre.Engine.Speech.SHALLOW:var c=sre.SpeechGeneratorFactory.generator("Adhoc");c.getSpeech(b,a);break;case sre.Engine.Speech.DEEP:c=sre.SpeechGeneratorFactory.generator("Tree"),c.getSpeech(b,a)}return a},pprint:function(a){return sre.DomUtil.formatXml(a.toString())}});
+new sre.Processor("walker",{processor:function(a){var b=sre.SpeechGeneratorFactory.generator("Node");sre.Processor.LocalState_.speechGenerator=b;sre.Processor.LocalState_.highlighter=sre.HighlighterFactory.highlighter({color:"black"},{color:"white"},{renderer:"NativeMML"});a=sre.ProcessorFactory.process("enriched",a);var c=sre.ProcessorFactory.print("enriched",a);sre.Processor.LocalState_.walker=sre.WalkerFactory.walker(sre.Engine.getInstance().walker,a,b,sre.Processor.LocalState_.highlighter,c);
+return sre.Processor.LocalState_.walker},print:function(a){return sre.Processor.LocalState_.walker.speech()}});new sre.KeyProcessor("move",{processor:function(a){return sre.Processor.LocalState_.walker?!1===sre.Processor.LocalState_.walker.move(a)?sre.AuralRendering.getInstance().error(a):sre.Processor.LocalState_.walker.speech():null}});sre.System=function(){this.version=sre.Variables.VERSION};goog.addSingletonGetter(sre.System);
+sre.System.prototype.setupEngine=function(a){var b=sre.Engine.getInstance(),c=function(d){b[d]=a[d]||b[d]};c("mode");sre.System.prototype.configBlocks_(a);sre.Engine.BINARY_FEATURES.forEach(function(d){"undefined"!==typeof a[d]&&(b[d]=!!a[d])});sre.Engine.STRING_FEATURES.forEach(c);a.json&&(sre.SystemExternal.jsonPath=sre.BaseUtil.makePath(a.json));a.xpath&&(sre.SystemExternal.WGXpath=a.xpath);b.setupBrowsers();b.ruleSets=a.rules?a.rules:sre.SpeechRuleStores.availableSets();sre.SpeechRuleEngine.getInstance().parameterize(b.ruleSets);
+b.setDynamicCstr();sre.L10n.setLocale()};sre.System.prototype.configBlocks_=function(a){if(!sre.Engine.getInstance().config&&sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP){sre.Engine.getInstance().config=!0;for(var b=document.documentElement.querySelectorAll('script[type="text/x-sre-config"]'),c=0,d=b.length;c<d;c++)try{var e=b[c].innerHTML,f=JSON.parse(e),g;for(g in f)a[g]=f[g]}catch(h){sre.Debugger.getInstance().output("Illegal configuration ",e)}}};
+sre.System.setAsync=function(){sre.Engine.isReady()||setTimeout(sre.System.setAsync,500);sre.System.getInstance().setupEngine({mode:sre.Engine.Mode.ASYNC})};sre.System.prototype.engineSetup=function(){var a=["mode"].concat(sre.Engine.STRING_FEATURES,sre.Engine.BINARY_FEATURES),b=sre.Engine.getInstance(),c={};a.forEach(function(d){c[d]=b[d]});c.json=sre.SystemExternal.jsonPath;c.xpath=sre.SystemExternal.WGXpath;c.rules=b.ruleSets.slice();return c};sre.System.prototype.engineReady=function(){return sre.Engine.isReady()};
+sre.System.prototype.toSpeech=function(a){return sre.System.getInstance().processString("speech",a)};sre.System.prototype.toSemantic=function(a){return sre.System.getInstance().processString("semantic",a)};sre.System.prototype.toJson=function(a){return sre.System.getInstance().processString("json",a)};sre.System.prototype.toDescription=function(a){return sre.System.getInstance().processString("description",a)};
+sre.System.prototype.toEnriched=function(a){return sre.System.getInstance().processString("enriched",a)};sre.System.prototype.processString=function(a,b){return sre.ProcessorFactory.process(a,b)};sre.System.prototype.fileToSpeech=function(a,b){sre.System.getInstance().processFile("speech",a,b)};sre.System.prototype.fileToSemantic=function(a,b){sre.System.getInstance().processFile("semantic",a,b)};sre.System.prototype.fileToJson=function(a,b){sre.System.getInstance().processFile("json",a,b)};
+sre.System.prototype.fileToDescription=function(a,b){sre.System.getInstance().processFile("description",a,b)};sre.System.prototype.fileToEnriched=function(a,b){sre.System.getInstance().processFile("enriched",a,b)};sre.System.prototype.processFile=function(a,b,c){sre.Engine.isReady()?sre.Engine.getInstance().mode===sre.Engine.Mode.SYNC?this.processFileSync_(a,b,c):this.processFileAsync_(a,b,c):setTimeout(goog.bind(function(){this.processFile(a,b,c)},this),100)};
+sre.System.prototype.inputFileSync_=function(a){try{var b=sre.SystemExternal.fs.readFileSync(a,{encoding:"utf8"})}catch(c){throw new sre.Engine.Error("Can not open file: "+a);}return b};sre.System.prototype.processFileSync_=function(a,b,c){b=sre.System.getInstance().inputFileSync_(b);a=sre.ProcessorFactory.output(a,b);if(c)try{sre.SystemExternal.fs.writeFileSync(c,a)}catch(d){throw new sre.Engine.Error("Can not write to file: "+c);}else console.info(a)};
+sre.System.prototype.inputFileAsync_=function(a,b){sre.SystemExternal.fs.readFile(a,{encoding:"utf8"},goog.bind(function(c,d){if(c)throw new sre.Engine.Error("Can not open file: "+a);b(d)},this))};sre.System.prototype.processFileAsync_=function(a,b,c){sre.System.getInstance().inputFileAsync_(b,goog.bind(function(d){d=sre.ProcessorFactory.output(a,d);c?sre.SystemExternal.fs.writeFile(c,d,function(e){if(e)throw new sre.Engine.Error("Can not write to file: "+c);}):console.info(d)},this))};
+sre.System.prototype.walk=function(a){return sre.ProcessorFactory.output("walker",a)};sre.System.prototype.move=function(a){return sre.ProcessorFactory.keypress("move",a)};sre.Mathjax={};
 (function(){var a=sre.System.getInstance(),b=MathJax.Callback.Signal("Sre");MathJax.Extension.Sre={version:a.version,signal:b,ConfigSre:function(){sre.Engine.isReady()?MathJax.Callback.Queue(MathJax.Hub.Register.StartupHook("mml Jax Ready",{}),["Post",MathJax.Hub.Startup.signal,"Sre Ready"]):setTimeout(MathJax.Extension.Sre.ConfigSre,500)}};sre.System.getInstance().setupEngine({mode:sre.Engine.Mode.HTTP,json:MathJax.Ajax.config.path.SRE+"/mathmaps",xpath:MathJax.Ajax.config.path.SRE+"/wgxpath.install.js",
 semantics:!0});MathJax.Extension.Sre.ConfigSre()})();
 
diff --git a/extensions/a11y/mathmaps/de.js b/extensions/a11y/mathmaps/de.js
new file mode 100644
index 0000000000..6411397842
--- /dev/null
+++ b/extensions/a11y/mathmaps/de.js
@@ -0,0 +1,104 @@
+{
+"de/functions/algebra.js": 
+[{"locale":"de"},{"category":"Algebra","mappings":{"default":{"default":"Grad"}},"key":"deg","names":["deg"]},{"key":"det","mappings":{"default":{"default":"Determinante"}},"category":"Algebra","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"Dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"Homomorphismus"},"mathspeak":{"default":"hom"},"clearspeak":{"default":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"Kern"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"Spur"}},"key":"Tr","names":["Tr","tr"]}]
+,
+"de/functions/elementary.js": 
+[{"locale":"de"},{"key":"log","mappings":{"default":{"default":"Logarithmus"}},"category":"Logarithm","names":["log"]},{"key":"ln","mappings":{"default":{"default":"natürlicher Logarithmus"}},"category":"Logarithm","names":["ln"]},{"category":"Logarithm","mappings":{"default":{"default":"Logarithmus zur Basis 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"Exponent"},"mathspeak":{"default":"exp"},"clearspeak":{"default":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"größter gemeinsamer Teiler"},"mathspeak":{"default":"ggt"},"clearspeak":{"default":"ggt"}},"key":"gcd","names":["gcd","ggt","ggT"]},{"category":"Elementary","mappings":{"default":{"default":"kleinstes gemeinsames Vielfaches"},"mathspeak":{"default":"kgv"},"clearspeak":{"default":"kgv"}},"key":"lcm","names":["lcm","kgv","kgV"]},{"category":"Complex","mappings":{"default":{"default":"Argument"}},"key":"arg","names":["arg"]},{"key":"im","mappings":{"default":{"default":"der Imaginärteil der komplexen Zahl"}},"category":"Complex","names":["im"]},{"key":"re","mappings":{"default":{"default":"der Realteil der komplexen Zahl"}},"category":"Complex","names":["re"]},{"key":"mod","mappings":{"default":{"default":"modulo"}},"category":"Elementary","names":["mod"]},{"category":"Limits","mappings":{"default":{"default":"Infimum"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"Limes"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"Limes inferior"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"Limes superior"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"Maximum"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"Minimum"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"Supremum"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"Colimes"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projektiver Limes"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Probability","mappings":{"default":{"default":"Wahrscheinlichkeit"}},"key":"Pr","names":["Pr"]}]
+,
+"de/functions/hyperbolic.js": 
+[{"locale":"de"},{"key":"cosh","mappings":{"default":{"default":"Kosinus hyperbolicus"}},"category":"Hyperbolic","names":["cosh"]},{"key":"coth","mappings":{"default":{"default":"Kotangens hyperbolicus"}},"category":"Hyperbolic","names":["coth"]},{"key":"csch","mappings":{"default":{"default":"Kosekans hyperbolicus"}},"category":"Hyperbolic","names":["csch"]},{"key":"sech","mappings":{"default":{"default":"Sekans hyperbolicus"}},"category":"Hyperbolic","names":["sech"]},{"key":"sinh","mappings":{"default":{"default":"Sinus hyperbolicus"}},"category":"Hyperbolic","names":["sinh"]},{"key":"tanh","mappings":{"default":{"default":"Tangens hyperbolicus"}},"category":"Hyperbolic","names":["tanh"]},{"key":"arcosh","mappings":{"default":{"default":"Areakosinus hyperbolicus"}},"category":"Area","names":["arcosh","arccosh"]},{"key":"arcoth","mappings":{"default":{"default":"Areakotangens hyperbolicus"}},"category":"Area","names":["arcoth","arccoth"]},{"key":"arcsch","mappings":{"default":{"default":"Areakosekans hyperbolicus"}},"category":"Area","names":["arcsch","arccsch"]},{"key":"arsech","mappings":{"default":{"default":"Areasekans hyperbolicus"}},"category":"Area","names":["arsech","arcsech"]},{"key":"arsinh","mappings":{"default":{"default":"Areasinus hyperbolicus"}},"category":"Area","names":["arsinh","arcsinh"]},{"key":"artanh","mappings":{"default":{"default":"Areatangens hyperbolicus "}},"category":"Area","names":["artanh","arctanh"]}]
+,
+"de/functions/trigonometry.js": 
+[{"locale":"de"},{"key":"cos","mappings":{"default":{"default":"Kosinus"}},"category":"Trigonometric","names":["cos","cosine"]},{"key":"cot","mappings":{"default":{"default":"Kotangens"}},"category":"Trigonometric","names":["cot"]},{"key":"csc","mappings":{"default":{"default":"Kosekans"}},"category":"Trigonometric","names":["csc"]},{"key":"sec","mappings":{"default":{"default":"Sekans"}},"category":"Trigonometric","names":["sec"]},{"key":"sin","mappings":{"default":{"default":"Sinus"}},"category":"Trigonometric","names":["sin","sine"]},{"key":"tan","mappings":{"default":{"default":"Tangens"}},"category":"Trigonometric","names":["tan"]},{"key":"arccos","mappings":{"default":{"default":"Arkuskosinus"},"clearspeak":{"Trig_TrigInverse":"inverser Kosinus"}},"category":"Cyclometric","names":["arccos"]},{"key":"arccot","mappings":{"default":{"default":"Arkuskotangens"},"clearspeak":{"Trig_TrigInverse":"inverser Kotangens"}},"category":"Cyclometric","names":["arccot"]},{"key":"arccsc","mappings":{"default":{"default":"Arkuskosekans"},"clearspeak":{"Trig_TrigInverse":"inverser Kosekans"}},"category":"Cyclometric","names":["arccsc"]},{"key":"arcsec","mappings":{"default":{"default":"Arkussekans"},"clearspeak":{"Trig_TrigInverse":"inverser Sekans"}},"category":"Cyclometric","names":["arcsec"]},{"key":"arcsin","mappings":{"default":{"default":"Arkussinus"},"clearspeak":{"Trig_TrigInverse":"inverser Sinus"}},"category":"Cyclometric","names":["arcsin"]},{"key":"arctan","mappings":{"default":{"default":"Arkustangens"},"clearspeak":{"Trig_TrigInverse":"inverser Tangens"}},"category":"Cyclometric","names":["arctan"]}]
+,
+"de/symbols/digits_rest.js": 
+[{"locale":"de"},{"key":"00B2","mappings":{"default":{"default":"Quadrat"},"clearspeak":{"Exponent_Exponent":"mit Exponent 2","Exponent_OrdinalPower":"zur zweiten Potenz"}},"category":"No"},{"key":"00B3","mappings":{"default":{"default":"Kubik"},"clearspeak":{"Exponent_Exponent":"mit Exponent 3","Exponent_OrdinalPower":"zur dritten Potenz"}},"category":"No"},{"key":"00BC","mappings":{"default":{"default":"ein Viertel"}},"category":"No"},{"key":"00BD","mappings":{"default":{"default":"ein Halb"}},"category":"No"},{"key":"00BE","mappings":{"default":{"default":"drei Viertel"}},"category":"No"},{"category":"No","key":"2150","mappings":{"default":{"default":"ein siebtel"}}},{"category":"No","key":"2151","mappings":{"default":{"default":"ein neuntel"}}},{"category":"No","key":"2152","mappings":{"default":{"default":"ein zehntel"}}},{"category":"No","key":"2153","mappings":{"default":{"default":"ein drittel"}}},{"category":"No","key":"2154","mappings":{"default":{"default":"zwei drittel"}}},{"category":"No","key":"2155","mappings":{"default":{"default":"ein fünftel"}}},{"category":"No","key":"2156","mappings":{"default":{"default":"zwei fünftel"}}},{"category":"No","key":"2157","mappings":{"default":{"default":"drei fünftel"}}},{"category":"No","key":"2158","mappings":{"default":{"default":"vier fünftel"}}},{"category":"No","key":"2159","mappings":{"default":{"default":"ein sechstel"}}},{"category":"No","key":"215A","mappings":{"default":{"default":"fünf sechstel"}}},{"category":"No","key":"215B","mappings":{"default":{"default":"ein achtel"}}},{"category":"No","key":"215C","mappings":{"default":{"default":"drei achtel"}}},{"category":"No","key":"215D","mappings":{"default":{"default":"fünf achtel"}}},{"category":"No","key":"215E","mappings":{"default":{"default":"sieben achtel"}}},{"category":"No","key":"215F","mappings":{"default":{"default":"Bruchzähler eins"}}},{"category":"No","key":"2189","mappings":{"default":{"default":"null drittel"}}},{"category":"No","key":"3248","mappings":{"default":{"default":"eingekreiste Zehn auf schwarzem Quadrat"}}},{"category":"No","key":"3249","mappings":{"default":{"default":"eingekreiste Zwanzig auf schwarzem Quadrat"}}},{"category":"No","key":"324A","mappings":{"default":{"default":"eingekreiste Dreißig auf schwarzem Quadrat"}}},{"category":"No","key":"324B","mappings":{"default":{"default":"eingekreiste Vierzig auf schwarzem Quadrat"}}},{"category":"No","key":"324C","mappings":{"default":{"default":"eingekreiste Fünfzig auf schwarzem Quadrat"}}},{"category":"No","key":"324D","mappings":{"default":{"default":"eingekreiste Sechzig auf schwarzem Quadrat"}}},{"category":"No","key":"324E","mappings":{"default":{"default":"eingekreiste Siebzig auf schwarzem Quadrat"}}},{"category":"No","key":"324F","mappings":{"default":{"default":"eingekreiste Achtzig auf schwarzem Quadrat"}}}]
+,
+"de/symbols/greek-rest.js": 
+[{"locale":"de"},{"key":"0394","mappings":{"clearspeak":{"default":"Dreieck","TriangleSymbol_Delta":"großes Delta"}},"category":"Lu"}]
+,
+"de/symbols/greek-scripts.js": 
+[{"locale":"de"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"Kapitälchen Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"Kapitälchen Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"Kapitälchen Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"Kapitälchen Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"Kapitälchen Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"hochgestelltes gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"hochgestelltes phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"tiefgestelltes beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"tiefgestelltes gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"tiefgestelltes rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"tiefgestelltes phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"tiefgestelltes chi"}}}]
+,
+"de/symbols/greek-symbols.js": 
+[{"locale":"de"},{"category":"Ll","key":"03D0","mappings":{"default":{"default":"beta"}}},{"category":"Ll","key":"03D7","mappings":{"default":{"default":"kai"}}},{"category":"Sm","key":"03F6","mappings":{"default":{"default":"umgekehrtes epsilon"}}},{"category":"Lu","key":"1D7CA","mappings":{"default":{"default":"fettes großes Digamma"}}},{"category":"Ll","key":"1D7CB","mappings":{"default":{"default":"fettes digamma"}}}]
+,
+"de/symbols/hebrew_letters.js": 
+[{"locale":"de"},{"category":"Lo","key":"2135","mappings":{"default":{"default":"Alef-Symbol"}}},{"category":"Lo","key":"2136","mappings":{"default":{"default":"Bet-Symbol"}}},{"category":"Lo","key":"2137","mappings":{"default":{"default":"Gimel-Symbol"}}},{"category":"Lo","key":"2138","mappings":{"default":{"default":"Dalet-Symbol"}}}]
+,
+"de/symbols/latin-lower-double-accent.js": 
+[{"locale":"de"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u mit Diärese und Makron"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u mit Diärese und Akut"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u mit Diärese und Caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u mit Diärese und Grab"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a mit Diärese und Makron"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a mit Dot Above und Makron"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o mit Ogonek und Makron"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a mit Ring oben und akut"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o mit Diärese und Makron"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o mit Tilde und Makron"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o mit Punkt oben und Makron"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"c mit Cedilla und Akut"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"e mit Makron und Grab"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"e mit Makron und Akut"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"e mit Cedilla und Breve"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"i mit Diärese und Akut"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"l mit Punkt unten und Makron"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"o mit Tilde und Akut"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"o mit Tilde und Diärese"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"o mit Makron und Grab"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"o mit Makron und Akut"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"r mit Punkt unten und Makron"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"s mit Akute und Punkt oben"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"s mit Caron und Punkt oben"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"s mit Punkt unten und Punkt oben"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"u mit Tilde und Akut"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"u mit Makron und Diärese"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"a mit Zirkumflex und Akut"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"a mit Zirkumflex und Grab"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"a mit Zirkumflex und Haken oben"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"a mit Zirkumflex und Tilde"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"a mit Zirkumflex und Punkt darunter"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"a mit Breve und Akut"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"a mit Breve und Grab"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"a mit Breve und Haken oben"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"a mit Breve und Tilde"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"a mit Breve und Dot Below"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"e mit Zirkumflex und Akut"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"e mit Zirkumflex und Grab"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"e mit Zirkumflex und Haken oben"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"e mit Zirkumflex und Tilde"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"e mit Zirkumflex und Punkt darunter"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"o mit Zirkumflex und Akut"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"o mit Zirkumflex und Grab"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"o mit Zirkumflex und Haken oben"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"o mit Zirkumflex und Tilde"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"o mit Zirkumflex und Punkt darunter"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"o mit Horn und Akut"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"o mit Horn und Grab"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"o mit Horn und Haken oben"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"o mit Horn und Tilde"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"o mit Horn und Punkt"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"u mit Horn und Akut"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"u mit Horn und Grab"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"u mit Horn und Haken oben"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"u mit Horn und Tilde"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"u mit Horn und Punkt"}}}]
+,
+"de/symbols/latin-lower-phonetic.js": 
+[{"locale":"de"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"o mit Strich"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"d mit Strich"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"h mit Strich"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"l mit Strich"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"t mit Strich"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b mit Strich"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"lambda mit Strich"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z mit Strich"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"umgekehrter Glottalanschlag mit Strich"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g mit Strich"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o mit Strich und Akut"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c mit Strich"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"e mit Strich"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j mit Strich"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"r mit Strich"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y mit Strich"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"punktloses j mit Strich"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i mit Strich"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"punktloses j mit Strich und Haken"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"Glottalanschlag mit Strich"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"umgekehrter Glottalanschlag mit Strich"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"liegendes O mit Strich"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota mit Strich"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p mit Strich"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon mit Strich"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"lang mit diagonalem Anschlag"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"lang S mit hohem Hub"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"wurde Delta gedreht"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"lang mit Punkt oben"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta"}}},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"category":"Ll","key":"017F","mappings":{"default":{"default":"lang S"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b mit Oberleiste"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"ton sechs"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c mit Haken"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d mit Oberleiste"}}},{"key":"0192","mappings":{"default":{"default":"f mit Haken"}},"category":"Ll"},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k mit Haken"}}},{"key":"019A","mappings":{"default":{"default":"l mit Strich"}},"category":"Ll"},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n mit langem rechtem Bein"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o mit Horn"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p mit Haken"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"ton zwei"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"umgedrehte esh Schleife"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t mit palatal Haken"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t mit Haken"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u mit Horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y mit Haken"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"umgekehrtes ezh"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ezh mit Schwanz"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"ton fünf"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz mit Caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae mit Makron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ezh mit Caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lezh"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"ezh mit Kringel"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"dezh Digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"gedreht E"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae mit Akut"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d mit Kringel"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z mit Haken"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l mit Kringel"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n mit Kringel"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t mit Kringel"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"db"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"qp Digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s mit Swash Tail"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z mit Swash Tail"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"Glottalanschlag"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q mit Hakenschwanz"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"gedreht A"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"gedrehtes Alpha"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b mit Haken"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"open O"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c mit Kringel"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d mit Schwanz"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d mit Haken"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"umgedreht E"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"schwa mit Haken"}}},{"key":"025B","mappings":{"default":{"default":"offenes e"}},"category":"Ll"},{"category":"Ll","key":"025C","mappings":{"default":{"default":"umgedrehtes offenes e"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"umgekehrtes offenes e mit Haken"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"umgekehrtes geschlossenes epsilon"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g mit Haken"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"g"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"mini gamma"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"gedrehtes h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h mit Haken"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"h mit Haken"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l mit mittlerer Tilde"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l mit Gurt"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"l mit Retroflexhaken"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"gedreht M"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"gedrehtes M mit langem Bein"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m mit Haken"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n mit linkem Haken"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n mit Retroflexhaken"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"o mit balken"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"geschlossenes omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"gedrehtes r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"gedrehtes r mit langem Bein"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"gedrehtes r mit langem Bein und Haken"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"r mit langem Bein"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"r mit Endstück"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"r mit Angelhaken"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"umgedrehtes R mit Angelhaken"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"s mit Haken"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"squat umgekehrt"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"esh mit Kringel"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"gedreht T"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"t mit Retroflexhaken"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"u Bar"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"v mit Haken"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"gedrehtes v"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"gedrehtes w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"gedrehtes y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"z mit Retroflexhaken"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z mit Kringel"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"pharyngales stimmhaft Frikativ"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"invertierter Glottalanschlag"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"gestrecktes C"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"bilabialer Klick"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"geschlossenes offenes e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"gedrehtes k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q mit Haken"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"dz Digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"dz Digraph mit Kringel"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"ts Digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"tesh Digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"tc Digraph mit Kringel"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"feng Digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"ls Digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"lz Digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"bilabiales Perkussiv"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"bidentales Perkussiv"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"gedrehtes h mit Angelhaken"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"gedrehtes h mit Angelhaken und Schwanz"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"gedrehtes ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"gedrehtes e"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"gedrehtes i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"liegendes O"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"liegendes geöffnet O"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"gedreht Oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"obere Hälfte O"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"untere Hälfte O"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"liegendes U"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"liegendes u Umlaut"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"liegendes m"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"stimmhaft laryngaler Frikativ"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"Ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"b mit mittlerer Tilde"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"d mit mittlerer Tilde"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"f mit mittlerer Tilde"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"m mit mittlerer Tilde"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"n mit mittlerer Tilde"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"p mit mittlerer Tilde"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"r mit mittlerer Tilde"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"r mit Angelhaken und mittlerer Tilde"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"s mit mittlerer Tilde"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"t mit mittlerer Tilde"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z mit mittlerer Tilde"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"gedreht G"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"insular G"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th mit Durchgestrichen"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"b mit Palatalhaken"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"d mit Palatalhaken"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"f mit Palatalhaken"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"g mit Palatalhaken"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"k mit Palatalhaken"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"l mit Palatalhaken"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"m mit Palatalhaken"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"n mit Palatalhaken"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"p mit Palatalhaken"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"r mit Palatalhaken"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"s mit Palatalhaken"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"esh mit Palatalhaken"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"v mit Palatalhaken"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"x mit Palatalhaken"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"z mit Palatalhaken"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a mit Retroflexhaken"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"alpha mit Retroflexhaken"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"d mit Haken und Schwanz"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"e mit Retroflexhaken"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"offenes e mit Retroflexhaken"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"umgedrehtes offenes e mit Retroflexhaken"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"schwa mit Retroflexhaken"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"i mit Retroflexhaken"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"offenes o mit Retroflexhaken"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"esh mit Retroflexhaken"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"u mit Retroflexhaken"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"ezh mit Retroflexhaken"}}},{"key":"0149","mappings":{"default":{"default":"n mit Apostroph davor"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
+,
+"de/symbols/latin-lower-single-accent.js": 
+[{"locale":"de"},{"key":"00E0","mappings":{"default":{"default":"a mit Grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a mit Aigu"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a mit Zirkumflex"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a mit Tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a mit Diärese"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a mit Ring darüber"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c mit Cedille"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e mit Grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e mit Aigu"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e mit Zirkumflex"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e mit Diärese"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i mit Grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i mit Aigu"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i mit Zirkumflex"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i mit Diärese"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"n mit Tilde"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o mit Grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o mit Aigu"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o mit Zirkumflex"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o mit Tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o mit Diärese"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u mit Grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u mit Aigu"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u mit Zirkumflex"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u mit Diärese"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"y mit Aigu"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y mit Diärese"}},"category":"Ll"},{"category":"Ll","key":"0101","mappings":{"default":{"default":"a mit Makron"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"a mit Breve"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"a mit Ogonek"}}},{"key":"0107","mappings":{"default":{"default":"c mit Aigu"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c mit Zirkumflex"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"010D","mappings":{"default":{"default":"c mit Caron"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"d mit Caron"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"e mit Makron"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e mit Breve"}}},{"key":"0117","mappings":{"default":{"default":"e mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"0119","mappings":{"default":{"default":"e mit Ogonek"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"e mit Caron"}}},{"key":"011D","mappings":{"default":{"default":"g mit Zirkumflex"}},"category":"Ll"},{"category":"Ll","key":"011F","mappings":{"default":{"default":"g mit Breve"}}},{"key":"0121","mappings":{"default":{"default":"g mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g mit Cedilla"}}},{"key":"0125","mappings":{"default":{"default":"h mit Zirkumflex"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i mit Tilde"}},"category":"Ll"},{"category":"Ll","key":"012B","mappings":{"default":{"default":"i mit Makron"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i mit Breve"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"i mit Ogonek"}}},{"key":"0131","mappings":{"default":{"default":"i ohne punkt"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j mit Zirkumflex"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k mit Cedille"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l mit Aigu"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"013E","mappings":{"default":{"default":"l mit Caron"}}},{"key":"0140","mappings":{"default":{"default":"l mit Punkt in der Mitte"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n mit Aigu"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0148","mappings":{"default":{"default":"n mit Caron"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"o mit Makron"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o mit Breve"}}},{"key":"0151","mappings":{"default":{"default":"o mit doppeltem Aigu"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r mit Aigu"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0159","mappings":{"default":{"default":"r mit Caron"}}},{"key":"015B","mappings":{"default":{"default":"s mit Aigu"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s mit Zirkumflex"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0161","mappings":{"default":{"default":"s mit Caron"}}},{"key":"0163","mappings":{"default":{"default":"t mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0165","mappings":{"default":{"default":"t mit Caron"}}},{"key":"0169","mappings":{"default":{"default":"u mit Tilde"}},"category":"Ll"},{"category":"Ll","key":"016B","mappings":{"default":{"default":"u mit Makron"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"u mit Breve"}}},{"key":"016F","mappings":{"default":{"default":"u mit Ring darüber"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u mit doppeltem Aigu"}},"category":"Ll"},{"category":"Ll","key":"0173","mappings":{"default":{"default":"u mit Ogonek"}}},{"key":"0175","mappings":{"default":{"default":"w mit Zirkumflex"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y mit Zirkumflex"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z mit Aigu"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"017E","mappings":{"default":{"default":"z mit Caron"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a mit Caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i mit Caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o mit Caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u mit Caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g mit Caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k mit Caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o mit Ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j mit Caron"}}},{"key":"01F5","mappings":{"default":{"default":"g mit Aigu"}},"category":"Ll"},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n mit Grab"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a mit Doppelgrab"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a mit umgekehrter Breve"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e mit Doppelgrab"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e mit umgekehrter Breve"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i mit Doppelgrab"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i mit umgekehrter Breve"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o mit Doppelgrab"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o mit umgekehrter Breve"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r mit Doppelgrab"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r mit umgekehrter Breve"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u mit Doppelgrab"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u mit umgekehrter Breve"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s mit untenstehendem Komma"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t mit untenstehendem Komma"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h mit Caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"a mit Punkt oben"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e mit Cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o mit Punkt oben"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y mit Makron"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"dotless J"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"a mit Ring unten"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"b mit Punkt oben"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"b mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"b mit Zeile darunter"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"d mit Punkt oben"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"d mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"d mit Zeile darunter"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"d mit Cedilla"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"d mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"e mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"e mit darunterliegender Tilde"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"f mit Punkt oben"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"g mit Makron"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"h mit Punkt oben"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"h mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"h mit Diärese"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"h mit Cedilla"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"h mit Breve unten"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"i mit darunterliegender Tilde"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"k mit Akut"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"k mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"k mit Zeile darunter"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"l mit Punkt unten"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"l mit Zeile darunter"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"l mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"m mit Akut"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"m mit Punkt oben"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"m mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"n mit Punkt oben"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"n mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"n mit Zeile darunter"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"n mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"p mit Akut"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"p mit Punkt oben"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"r mit Punkt oben"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"r mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"r mit Zeile darunter"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"s mit Punkt oben"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"s mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"t mit Punkt oben"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"t mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"t mit Zeile darunter"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"t mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"u mit untenstehender Diärese"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"u mit darunterliegender Tilde"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"u mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"v mit Tilde"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"v mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"w mit Grab"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"w mit Akut"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"w mit Diärese"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"w mit Punkt oben"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"w mit Punkt unten"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"x mit Punkt oben"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"x mit Diärese"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"y mit Punkt oben"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"z mit Zirkumflex"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"z mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"z mit Zeile darunter"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"h mit Zeile darunter"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"t mit Diärese"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"w mit Ring oben"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"y mit Ring oben"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"a mit rechtem Halbring"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"a mit Punkt unten"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"a mit Haken oben"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"e mit untenstehendem Punkt"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"e mit Haken oben"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"e mit Tilde"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"i mit Haken oben"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"i mit untenstehendem Punkt"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"o mit untenstehendem Punkt"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"o mit Haken oben"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"u mit untenstehendem Punkt"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"u mit Haken oben"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"y mit Grab"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"y mit untenstehendem Punkt"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"y mit Haken oben"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"y mit Tilde"}}}]
+,
+"de/symbols/latin-rest.js": 
+[{"locale":"de"},{"category":"Ll","key":"210E","mappings":{"default":{"default":"Planck-Konstante"}}},{"category":"Mn","key":"0363","mappings":{"default":{"default":"kombinierendes a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"kombinierendes e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"kombinierendes i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"kombinierendes o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"kombinierendes u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"kombinierendes c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"kombinierendes d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"kombinierendes h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"kombinierendes m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"kombinierendes r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"kombinierendes t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"kombinierendes v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"kombinierendes x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"tiefgestelltes i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"tiefgestelltes r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"tiefgestelltes u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"tiefgestelltes v"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"tiefgestelltes r"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"kombinierendes oberes w"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"kombinierendes ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"kombinierendes ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"kombinierendes av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"kombinierendes c mit Cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"kombinierendes insulares d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"kombinierendes eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"kombinierendes g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"kombinierendes Kapitälchen g"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"kombinierendes k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"kombinierendes l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"kombinierendes Kapitälchen L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"kombinierendes Kapitälchen M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"kombinierendes n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"kombinierendes Kapitälchen N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"kombinierendes lateinisches Kapitälchen R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"kombinierendes r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"kombinierendes s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"kombinierendes langes s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"kombinierendes z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"hochgestelltes i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"hochgestelltes n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"tiefgestelltes a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"tiefgestelltes e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"tiefgestelltes o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"tiefgestelltes x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"tiefgestelltes schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"tiefgestelltes h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"tiefgestelltes k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"tiefgestelltes l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"tiefgestelltes m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"tiefgestelltes n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"tiefgestelltes p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"tiefgestelltes s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"tiefgestelltes t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"tiefgestelltes j"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"groß S in stumpfen Klammern"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"eingekreistes kursives groß C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"eingekreistes kursives groß R"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"durchgestrichenes P auf schwarzen Quadrat"}}}]
+,
+"de/symbols/latin-upper-double-accent.js": 
+[{"locale":"de"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"groß U mit Diärese und Makron"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"groß U mit Diärese und Akut"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"groß U mit Diärese und Caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"groß U mit Diärese und Grab"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"groß A mit Diärese und Makron"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"groß A mit Dot Above und Makron"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"groß O mit Ogonek und Makron"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"groß A mit Ring oben und akut"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"groß O mit Diärese und Makron"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"groß O mit Tilde und Makron"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"groß O mit Punkt oben und Makron"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"groß C mit Cedilla und Akut"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"groß E mit Makron und Grab"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"groß E mit Makron und Akut"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"groß E mit Cedilla und Breve"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"groß I mit Diärese und Akut"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"groß L mit Dot Below und Makron"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"groß O mit Tilde und Akut"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"groß O mit Tilde und Diärese"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"groß O mit Makron und Grab"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"groß O mit Makron und Akut"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"groß R mit Punkt unten und Makron"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"groß S mit Akute und Punkt oben"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"groß S mit Caron und Punkt oben"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"groß S mit untenstehendem Punkt und oben stehendem Punkt"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"groß U mit Tilde und Akut"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"groß U mit Makron und Diärese"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"groß A mit Zirkumflex und Akut"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"groß A mit Zirkumflex und Grab"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"groß A mit Zirkumflex und Haken oben"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"groß A mit Circumflex und Tilde"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"groß A mit Zirkumflex und Punkt darunter"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"groß A mit Breve und Akut"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"groß A mit Breve und Grab"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"groß A mit Breve und Hook oben"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"groß A mit Breve und Tilde"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"groß A mit Breve und Dot Below"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"groß E mit Zirkumflex und Akut"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"groß E mit Zirkumflex und Grab"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"groß E mit Zirkumflex und Haken oben"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"groß E mit Zirkumflex und Tilde"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"groß E mit Zirkumflex und Punkt darunter"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"groß O mit Circumflex und Akut"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"groß O mit Zirkumflex und Grab"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"groß O mit Zirkumflex und Haken oben"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"groß O mit Zirkumflex und Tilde"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"groß O mit Zirkumflex und Punkt darunter"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"groß O mit Horn und Akut"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"groß O mit Horn und Grab"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"groß O mit Horn und Haken oben"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"groß O mit Horn und Tilde"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"groß O mit Horn und Punkt"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"groß U mit Horn und Akut"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"groß U mit Horn und Grab"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"groß U mit Horn und Haken oben"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"groß U mit Horn und Tilde"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"groß U mit Horn und Punkt"}}}]
+,
+"de/symbols/latin-upper-single-accent.js": 
+[{"locale":"de"},{"key":"00C0","mappings":{"default":{"default":"groß A mit Gravis"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"groß A mit Aigu"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"groß A mit Zirkumflex"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"groß A mit Tilde"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"groß A mit Diärese"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"groß A mit Ring darüber"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"groß C mit Cedille"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"groß E mit Gravis"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"groß E mit Aigu"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"groß E mit Zirkumflex"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"groß E mit Diärese"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"groß I mit Gravis"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"groß I mit Aigu"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"groß I mit Zirkumflex"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"groß I mit Diärese"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"großes n mit Tilde"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"großes o mit Gravis"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"groß O mit Aigu"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"groß O mit Zirkumflex"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"groß O mit Tilde"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"groß O mit Diärese"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"groß U mit Gravis"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"groß U mit Aigu"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"groß U mit Zirkumflex"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"groß U mit Diärese"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"groß Y mit Aigu"}},"category":"Lu"},{"category":"Lu","key":"0100","mappings":{"default":{"default":"groß A mit Makron"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"groß A mit Breve"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"groß A mit Ogonek"}}},{"key":"0106","mappings":{"default":{"default":"groß C mit Aigu"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"groß C mit Zirkumflex"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"groß C mit Punkt darüber"}},"category":"Lu"},{"category":"Lu","key":"010C","mappings":{"default":{"default":"groß C mit Caron"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"groß D mit Caron"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"groß E mit Makron"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"groß E mit Breve"}}},{"key":"0116","mappings":{"default":{"default":"groß E mit Punkt darüber"}},"category":"Lu"},{"category":"Lu","key":"0118","mappings":{"default":{"default":"groß E mit Ogonek"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"groß E mit Caron"}}},{"key":"011C","mappings":{"default":{"default":"groß G mit Zirkumflex"}},"category":"Lu"},{"category":"Lu","key":"011E","mappings":{"default":{"default":"groß G mit Breve"}}},{"key":"0120","mappings":{"default":{"default":"groß G mit Punkt darüber"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"groß G mit Cedille"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"groß H mit Zirkumflex"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"groß I mit Tilde"}},"category":"Lu"},{"category":"Lu","key":"012A","mappings":{"default":{"default":"groß I mit Makron"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"groß I mit Breve"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"groß I mit Ogonek"}}},{"key":"0130","mappings":{"default":{"default":"groß I mit Punkt darüber"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"groß J mit Zirkumflex"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"groß K mit Cedille"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"groß L mit Aigu"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"groß L mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"013D","mappings":{"default":{"default":"groß L mit Caron"}}},{"key":"013F","mappings":{"default":{"default":"groß L mit Punkt in der Mitte"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"groß N mit Aigu"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"groß N mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0147","mappings":{"default":{"default":"groß N mit Caron"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"groß O mit Makron"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"groß O mit Breve"}}},{"key":"0150","mappings":{"default":{"default":"groß O mit doppeltem Aigu"}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"groß R mit Aigu"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"groß R mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0158","mappings":{"default":{"default":"groß R mit Caron"}}},{"key":"015A","mappings":{"default":{"default":"groß S mit Aigu"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"groß S mit Zirkumflex"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"groß S mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0160","mappings":{"default":{"default":"groß S mit Caron"}}},{"key":"0162","mappings":{"default":{"default":"groß T mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0164","mappings":{"default":{"default":"groß T mit Caron"}}},{"key":"0168","mappings":{"default":{"default":"groß U mit Tilde"}},"category":"Lu"},{"category":"Lu","key":"016A","mappings":{"default":{"default":"groß U mit Makron"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"groß U mit Breve"}}},{"key":"016E","mappings":{"default":{"default":"groß U mit Ring darüber"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"groß U mit dopppeltem Aigu"}},"category":"Lu"},{"category":"Lu","key":"0172","mappings":{"default":{"default":"groß U mit Ogonek"}}},{"key":"0174","mappings":{"default":{"default":"groß W mit Zirkumflex"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"groß Y mit Zirkumflex"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"groß Y mit Diärese"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"groß Z mit Aigu"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"groß Z mit Punkt darüber"}},"category":"Lu"},{"category":"Lu","key":"017D","mappings":{"default":{"default":"groß Z mit Caron"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"groß A mit Caron"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"groß I mit Caron"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"groß O mit Caron"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"groß U mit Caron"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"groß G mit Caron"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"groß K mit Caron"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"groß O mit Ogonek"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"groß G mit Akut"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"groß N mit Gravis"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"groß A mit Doppelgravis"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"groß A mit umgekehrter Breve"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"groß E mit Doppelgravis"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"groß E mit umgekehrter Breve"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"groß I mit Doppelgravis"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"groß I mit umgekehrter Breve"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"groß O mit Doppelgravis"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"groß O mit umgekehrter Breve"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"groß R mit Doppelgravis"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"groß R mit umgekehrter Breve"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"groß U mit Doppelgravis"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"groß U mit umgekehrter Breve"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"groß S mit untenstehendem Komma"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"groß T mit untenstehendem Komma"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"groß H mit Caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"groß A mit Punkt oben"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"groß E mit Cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"groß O mit Punkt oben"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"groß Y mit Makron"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"groß A mit Ring unten"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"groß B mit Punkt oben"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"groß B mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"groß B mit Zeile darunter"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"groß D mit Punkt oben"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"groß D mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"groß D mit Zeile darunter"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"groß D mit Cedilla"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"groß D mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"groß E mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"groß E mit darunterliegender Tilde"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"groß F mit Punkt oben"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"groß G mit Makron"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"groß H mit Punkt oben"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"groß H mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"groß H mit Diärese"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"groß H mit Cedilla"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"groß H mit Breve unten"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"groß I mit unten stehender Tilde"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"groß K mit Akut"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"groß K mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"groß K mit Zeile"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"groß L mit Punkt unten"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"groß L mit Zeile darunter"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"groß L mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"groß M mit Akut"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"groß M mit Punkt oben"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"groß M mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"groß N mit Punkt oben"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"groß N mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"groß N mit Zeile darunter"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"groß N mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"groß P mit Akut"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"groß P mit Punkt oben"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"groß R mit Punkt oben"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"groß R mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"groß R mit Zeile darunter"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"groß S mit Punkt oben"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"groß S mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"groß T mit Punkt oben"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"groß T mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"groß T mit Zeile darunter"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"groß T mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"groß U mit untenstehender Diärese"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"groß U mit darunterliegender Tilde"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"groß U mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"groß V mit Tilde"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"groß V mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"groß W mit Gravis"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"groß W mit Akut"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"groß W mit Diärese"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"groß W mit Punkt oben"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"groß W mit Punkt unten"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"groß X mit Punkt oben"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"groß X mit Diärese"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"groß Y mit Punkt oben"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"groß Z mit Zirkumflex"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"groß Z mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"groß Z mit Zeile darunter"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"groß A mit Punkt unten"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"groß A mit Haken oben"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"groß E mit untenstehendem Punkt"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"groß E mit Haken oben"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"groß E mit Tilde"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"groß I mit Haken oben"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"groß I mit untenstehendem Punkt"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"groß O mit untenstehendem Punkt"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"groß O mit Haken oben"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"groß U mit untenstehendem Punkt"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"groß U mit Haken oben"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"groß Y mit Gravis"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"groß Y mit untenstehendem Punkt"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"groß Y mit Haken oben"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"groß Y mit Tilde"}}}]
+,
+"de/symbols/math_angles.js": 
+[{"locale":"de"},{"category":"Sm","key":"22BE","mappings":{"default":{"default":"rechter Winkel mit Bogen"}}},{"category":"Sm","key":"237C","mappings":{"default":{"default":"rechter Winkel mit nach unten gerichtetem Zickzackpfeil"}}},{"category":"Sm","key":"27C0","mappings":{"default":{"default":"Dreidimensionaler Winkel"}}},{"category":"Sm","key":"299B","mappings":{"default":{"default":"Gemessene Winkelöffnung links"}}},{"category":"Sm","key":"299C","mappings":{"default":{"default":"Rechtwinklige Variante mit Quadrat"}}},{"category":"Sm","key":"299D","mappings":{"default":{"default":"rechter Winkel mit Punkt gemessen"}}},{"category":"Sm","key":"299E","mappings":{"default":{"default":"Winkel mit S nach innen"}}},{"category":"Sm","key":"299F","mappings":{"default":{"default":"Spitzer Winkel"}}},{"category":"Sm","key":"29A0","mappings":{"default":{"default":"Sphärischer Öffnungswinkel nach links"}}},{"category":"Sm","key":"29A1","mappings":{"default":{"default":"Sphärischer Winkel, der sich öffnet"}}},{"category":"Sm","key":"29A2","mappings":{"default":{"default":"Gedrehter Winkel"}}},{"category":"Sm","key":"29A3","mappings":{"default":{"default":"Umgekehrter Winkel"}}},{"category":"Sm","key":"29A4","mappings":{"default":{"default":"Winkel mit Underbar"}}},{"category":"Sm","key":"29A5","mappings":{"default":{"default":"Umgekehrter Winkel mit Unterleiste"}}},{"category":"Sm","key":"29A6","mappings":{"default":{"default":"Schräger Winkel, der sich öffnet"}}},{"category":"Sm","key":"29A7","mappings":{"default":{"default":"Schräger Winkel, der sich nach unten öffnet"}}},{"category":"Sm","key":"29A8","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im Pfeil nach oben und rechts"}}},{"category":"Sm","key":"29A9","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm und Pfeil nach oben und links"}}},{"category":"Sm","key":"29AA","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im nach unten zeigenden Pfeil und rechts"}}},{"category":"Sm","key":"29AB","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im nach unten zeigenden Pfeil"}}},{"category":"Sm","key":"29AC","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im Pfeil nach rechts und oben"}}},{"category":"Sm","key":"29AD","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im Pfeil nach links und oben"}}},{"category":"Sm","key":"29AE","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im nach rechts und unten zeigenden Pfeil"}}},{"category":"Sm","key":"29AF","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm und Pfeil nach links und unten"}}}]
+,
+"de/symbols/math_arrows.js": 
+[{"locale":"de"},{"category":"Sm","key":"2190","mappings":{"default":{"default":"Pfeil nach links"}}},{"category":"Sm","key":"2191","mappings":{"default":{"default":"Aufwärtspfeil"}}},{"category":"Sm","key":"2192","mappings":{"default":{"default":"Pfeil nach rechts"}}},{"category":"Sm","key":"2193","mappings":{"default":{"default":"Pfeil nach unten"}}},{"category":"Sm","key":"2194","mappings":{"default":{"default":"Linker rechter Pfeil"}}},{"category":"So","key":"2195","mappings":{"default":{"default":"Pfeil nach oben"}}},{"category":"So","key":"2196","mappings":{"default":{"default":"Nordwestpfeil"}}},{"category":"So","key":"2197","mappings":{"default":{"default":"Nordostpfeil"}}},{"category":"So","key":"2198","mappings":{"default":{"default":"Südostpfeil"}}},{"category":"So","key":"2199","mappings":{"default":{"default":"Südwestpfeil"}}},{"category":"Sm","key":"219A","mappings":{"default":{"default":"Pfeil nach links mit Strich"}}},{"category":"Sm","key":"219B","mappings":{"default":{"default":"Pfeil nach rechts mit Strich"}}},{"category":"So","key":"219C","mappings":{"default":{"default":"Wellenpfeil nach links"}}},{"category":"So","key":"219D","mappings":{"default":{"default":"Wellenpfeil nach rechts"}}},{"category":"So","key":"219E","mappings":{"default":{"default":"Pfeil nach links mit zwei Spitzen"}}},{"category":"So","key":"219F","mappings":{"default":{"default":"Aufwärts zwei Pfeil nach unten"}}},{"category":"Sm","key":"21A0","mappings":{"default":{"default":"Pfeil nach rechts mit zwei Köpfen"}}},{"category":"So","key":"21A1","mappings":{"default":{"default":"Abwärts zwei Pfeil nach unten"}}},{"category":"So","key":"21A2","mappings":{"default":{"default":"Pfeil nach links mit Schwanz"}}},{"category":"Sm","key":"21A3","mappings":{"default":{"default":"Pfeil nach rechts mit Schwanz"}}},{"category":"So","key":"21A4","mappings":{"default":{"default":"Pfeil nach links von der Bar"}}},{"category":"So","key":"21A5","mappings":{"default":{"default":"Pfeil von der Bar nach oben"}}},{"category":"Sm","key":"21A6","mappings":{"default":{"default":"Pfeil nach rechts von der Bar"}}},{"category":"So","key":"21A7","mappings":{"default":{"default":"Pfeil von der Bar nach unten"}}},{"category":"So","key":"21A8","mappings":{"default":{"default":"Pfeil nach unten mit Basis"}}},{"category":"So","key":"21A9","mappings":{"default":{"default":"Pfeil nach links mit Haken"}}},{"category":"So","key":"21AA","mappings":{"default":{"default":"Pfeil nach rechts mit Haken"}}},{"category":"So","key":"21AB","mappings":{"default":{"default":"Pfeil nach links mit Schleife"}}},{"category":"So","key":"21AC","mappings":{"default":{"default":"Pfeil nach rechts mit Schleife"}}},{"category":"So","key":"21AD","mappings":{"default":{"default":"Linker rechter Wellenpfeil"}}},{"category":"Sm","key":"21AE","mappings":{"default":{"default":"Linker rechter Pfeil mit Strich"}}},{"category":"So","key":"21AF","mappings":{"default":{"default":"Zickzack-Pfeil nach unten"}}},{"category":"So","key":"21B0","mappings":{"default":{"default":"Aufwärtspfeil mit Spitze nach links"}}},{"category":"So","key":"21B1","mappings":{"default":{"default":"Aufwärtspfeil mit Spitze nach rechts"}}},{"category":"So","key":"21B2","mappings":{"default":{"default":"Pfeil nach unten mit Spitze nach links"}}},{"category":"So","key":"21B3","mappings":{"default":{"default":"Abwärtspfeil mit Spitze nach rechts"}}},{"category":"So","key":"21B4","mappings":{"default":{"default":"Pfeil nach rechts mit Ecke nach unten"}}},{"category":"So","key":"21B5","mappings":{"default":{"default":"Pfeil nach unten mit Ecke nach links"}}},{"category":"So","key":"21B6","mappings":{"default":{"default":"Gegen den Uhrzeigersinn oberer halbkreisförmiger Pfeil"}}},{"category":"So","key":"21B7","mappings":{"default":{"default":"Halbkreis im Uhrzeigersinn"}}},{"category":"So","key":"21B8","mappings":{"default":{"default":"Nordwestpfeil zur langen Bar"}}},{"category":"So","key":"21B9","mappings":{"default":{"default":"Pfeil nach links zum Überfahren Pfeil nach rechts zum Überfahren"}}},{"category":"So","key":"21BA","mappings":{"default":{"default":"Offener Kreispfeil gegen den Uhrzeigersinn"}}},{"category":"So","key":"21BB","mappings":{"default":{"default":"Kreispfeil im Uhrzeigersinn öffnen"}}},{"category":"So","key":"21C4","mappings":{"default":{"default":"Pfeil nach rechts über Pfeil nach links"}}},{"category":"So","key":"21C5","mappings":{"default":{"default":"Aufwärtspfeil nach links von Abwärtspfeil"}}},{"category":"So","key":"21C6","mappings":{"default":{"default":"Pfeil nach links über Pfeil nach rechts"}}},{"category":"So","key":"21C7","mappings":{"default":{"default":"Links gepaarte Pfeile"}}},{"category":"So","key":"21C8","mappings":{"default":{"default":"Aufwärts gepaarte Pfeile"}}},{"category":"So","key":"21C9","mappings":{"default":{"default":"Rechts gepaarte Pfeile"}}},{"category":"So","key":"21CA","mappings":{"default":{"default":"Abwärts gepaarte Pfeile"}}},{"category":"So","key":"21CD","mappings":{"default":{"default":"Doppelpfeil nach links mit Strich"}}},{"category":"Sm","key":"21CE","mappings":{"default":{"default":"Links Rechts Doppelpfeil mit Strich"}}},{"category":"Sm","key":"21CF","mappings":{"default":{"default":"Doppelpfeil nach rechts mit Strich"}}},{"category":"So","key":"21D0","mappings":{"default":{"default":"Doppelpfeil nach links"}}},{"category":"So","key":"21D1","mappings":{"default":{"default":"Doppelpfeil nach oben"}}},{"category":"Sm","key":"21D2","mappings":{"default":{"default":"Doppelpfeil nach rechts"}}},{"category":"So","key":"21D3","mappings":{"default":{"default":"Doppelpfeil nach unten"}}},{"category":"Sm","key":"21D4","mappings":{"default":{"default":"Linker rechter Doppelpfeil"}}},{"category":"So","key":"21D5","mappings":{"default":{"default":"Doppelpfeil nach unten"}}},{"category":"So","key":"21D6","mappings":{"default":{"default":"Nordwest-Doppelpfeil"}}},{"category":"So","key":"21D7","mappings":{"default":{"default":"Nordost-Doppelpfeil"}}},{"category":"So","key":"21D8","mappings":{"default":{"default":"Südost Doppelpfeil"}}},{"category":"So","key":"21D9","mappings":{"default":{"default":"Südwest-Doppelpfeil"}}},{"category":"So","key":"21DA","mappings":{"default":{"default":"Dreifacher Pfeil nach links"}}},{"category":"So","key":"21DB","mappings":{"default":{"default":"Dreifacher Pfeil nach rechts"}}},{"category":"So","key":"21DC","mappings":{"default":{"default":"Linker Squiggle-Pfeil"}}},{"category":"So","key":"21DD","mappings":{"default":{"default":"Nach rechts gekrümmter Pfeil"}}},{"category":"So","key":"21DE","mappings":{"default":{"default":"Aufwärtspfeil mit Doppelstrich"}}},{"category":"So","key":"21DF","mappings":{"default":{"default":"Abwärtspfeil mit Doppelstrich"}}},{"category":"So","key":"21E0","mappings":{"default":{"default":"Pfeil nach links nach links"}}},{"category":"So","key":"21E1","mappings":{"default":{"default":"Pfeil nach oben gestrichen"}}},{"category":"So","key":"21E2","mappings":{"default":{"default":"Rechts gestrichener Pfeil"}}},{"category":"So","key":"21E3","mappings":{"default":{"default":"Abwärts gestrichelter Pfeil"}}},{"category":"So","key":"21E4","mappings":{"default":{"default":"Pfeil nach links zur Bar"}}},{"category":"So","key":"21E5","mappings":{"default":{"default":"Pfeil nach rechts zur Bar"}}},{"category":"So","key":"21E6","mappings":{"default":{"default":"Weißer Pfeil nach links"}}},{"category":"So","key":"21E7","mappings":{"default":{"default":"Aufwärts weißer Pfeil"}}},{"category":"So","key":"21E8","mappings":{"default":{"default":"Rechts weißer Pfeil"}}},{"category":"So","key":"21E9","mappings":{"default":{"default":"Abwärts weißer Pfeil"}}},{"category":"So","key":"21EA","mappings":{"default":{"default":"Aufwärts weißer Pfeil von der Stange"}}},{"category":"So","key":"21EB","mappings":{"default":{"default":"Aufwärts weißer Pfeil auf Sockel"}}},{"category":"So","key":"21EC","mappings":{"default":{"default":"Aufwärts weißer Pfeil auf Sockel mit horizontaler Stange"}}},{"category":"So","key":"21ED","mappings":{"default":{"default":"Aufwärts weißer Pfeil auf Sockel mit vertikaler Stange"}}},{"category":"So","key":"21EE","mappings":{"default":{"default":"Aufwärts weißer Doppelpfeil"}}},{"category":"So","key":"21EF","mappings":{"default":{"default":"Aufwärts weißer doppelter Pfeil auf Sockel"}}},{"category":"So","key":"21F0","mappings":{"default":{"default":"Rechts weißer Pfeil von der Wand"}}},{"category":"So","key":"21F1","mappings":{"default":{"default":"Nordwestpfeil zur Ecke"}}},{"category":"So","key":"21F2","mappings":{"default":{"default":"Südostpfeil zur Ecke"}}},{"category":"So","key":"21F3","mappings":{"default":{"default":"Weißer Pfeil nach unten"}}},{"category":"Sm","key":"21F4","mappings":{"default":{"default":"rechter Pfeil mit kleinem Kreis"}}},{"category":"Sm","key":"21F5","mappings":{"default":{"default":"Abwärtspfeil nach links von Aufwärtspfeil"}}},{"category":"Sm","key":"21F6","mappings":{"default":{"default":"Drei nach rechts gerichtete Pfeile"}}},{"category":"Sm","key":"21F7","mappings":{"default":{"default":"Pfeil nach links mit vertikalem Strich"}}},{"category":"Sm","key":"21F8","mappings":{"default":{"default":"Pfeil nach rechts mit vertikalem Strich"}}},{"category":"Sm","key":"21F9","mappings":{"default":{"default":"Linker rechter Pfeil mit vertikalem Strich"}}},{"category":"Sm","key":"21FA","mappings":{"default":{"default":"Pfeil nach links mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"21FB","mappings":{"default":{"default":"Pfeil nach rechts mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"21FC","mappings":{"default":{"default":"Linker rechter Pfeil mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"21FD","mappings":{"default":{"default":"Pfeil nach links mit offenem Kopf"}}},{"category":"Sm","key":"21FE","mappings":{"default":{"default":"Pfeil nach rechts mit offenem Kopf"}}},{"category":"Sm","key":"21FF","mappings":{"default":{"default":"Linker rechter Pfeil mit offenem Kopf"}}},{"category":"So","key":"2301","mappings":{"default":{"default":"Elektrischer Pfeil"}}},{"category":"So","key":"2303","mappings":{"default":{"default":"Pfeil nach oben"}}},{"category":"So","key":"2304","mappings":{"default":{"default":"Pfeil nach unten"}}},{"category":"So","key":"2324","mappings":{"default":{"default":"Pfeilspitze zwischen zwei horizontalen Balken"}}},{"category":"So","key":"238B","mappings":{"default":{"default":"Gebrochener Kreis mit Nordwestpfeil"}}},{"category":"So","key":"2794","mappings":{"default":{"default":"Schwerer, nach rechts gerichteter Pfeil nach rechts"}}},{"category":"So","key":"2798","mappings":{"default":{"default":"Schwerer Südostpfeil"}}},{"category":"So","key":"2799","mappings":{"default":{"default":"Schwerer Pfeil nach rechts"}}},{"category":"So","key":"279A","mappings":{"default":{"default":"Schwerer Nordostpfeil"}}},{"category":"So","key":"279B","mappings":{"default":{"default":"Zeichnungspunkt Pfeil nach rechts"}}},{"category":"So","key":"279C","mappings":{"default":{"default":"Schwerer runder Pfeil nach rechts"}}},{"category":"So","key":"279D","mappings":{"default":{"default":"Dreieckköpfiger Pfeil nach rechts"}}},{"category":"So","key":"279E","mappings":{"default":{"default":"Schwerer Dreieckspfeil nach rechts"}}},{"category":"So","key":"279F","mappings":{"default":{"default":"Dreieckköpfiger Pfeil nach rechts"}}},{"category":"So","key":"27A0","mappings":{"default":{"default":"Schwerer, gestrichelter Dreieckspfeil nach rechts"}}},{"category":"So","key":"27A1","mappings":{"default":{"default":"Schwarzer Pfeil nach rechts"}}},{"category":"So","key":"27A2","mappings":{"default":{"default":"Dreidimensionale, nach oben beleuchtete Pfeilspitze"}}},{"category":"So","key":"27A3","mappings":{"default":{"default":"Dreidimensionale, von unten beleuchtete Pfeilspitze nach rechts"}}},{"category":"So","key":"27A4","mappings":{"default":{"default":"Schwarze Pfeilspitze nach rechts"}}},{"category":"So","key":"27A5","mappings":{"default":{"default":"Schwerer schwarzer Pfeil nach unten und rechts gebogen"}}},{"category":"So","key":"27A6","mappings":{"default":{"default":"Schwerer schwarzer Pfeil nach oben und rechts gebogen"}}},{"category":"So","key":"27A7","mappings":{"default":{"default":"Schwarzer nach rechts gerichteter Pfeil"}}},{"category":"So","key":"27A8","mappings":{"default":{"default":"Schwerer konkaver Spitze-Pfeil nach rechts"}}},{"category":"So","key":"27A9","mappings":{"default":{"default":"Rechts geschatteter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AA","mappings":{"default":{"default":"Links schattierter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AB","mappings":{"default":{"default":"Zurückgekippter, beschatteter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AC","mappings":{"default":{"default":"Vorne geneigter, beschatteter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AD","mappings":{"default":{"default":"Schwerer unterer rechter Schatten mit weißem Pfeil nach rechts"}}},{"category":"So","key":"27AE","mappings":{"default":{"default":"Schwerer oberer rechter Schatten mit weißem Pfeil nach rechts"}}},{"category":"So","key":"27AF","mappings":{"default":{"default":"Gekerbter Pfeil nach rechts unten rechts"}}},{"category":"So","key":"27B1","mappings":{"default":{"default":"Weißer Pfeil nach rechts oben gekerbt"}}},{"category":"So","key":"27B2","mappings":{"default":{"default":"Eingekreister schwerer weißer Pfeil nach rechts"}}},{"category":"So","key":"27B3","mappings":{"default":{"default":"Pfeil mit weißer Feder nach rechts"}}},{"category":"So","key":"27B4","mappings":{"default":{"default":"Schwarz-gefiederter Südostpfeil"}}},{"category":"So","key":"27B5","mappings":{"default":{"default":"Pfeil mit schwarzer Feder nach rechts"}}},{"category":"So","key":"27B6","mappings":{"default":{"default":"Schwarzgefiederter Nordostpfeil"}}},{"category":"So","key":"27B7","mappings":{"default":{"default":"Schwerer schwarzgefiederter Südostpfeil"}}},{"category":"So","key":"27B8","mappings":{"default":{"default":"Schwerer schwarzgefiederter Pfeil nach rechts"}}},{"category":"So","key":"27B9","mappings":{"default":{"default":"Schwerer schwarzgefiederter Nordostpfeil"}}},{"category":"So","key":"27BA","mappings":{"default":{"default":"Teardrop-Barbed-Pfeil nach rechts"}}},{"category":"So","key":"27BB","mappings":{"default":{"default":"Schwerer Tropfen-Pfeil nach rechts"}}},{"category":"So","key":"27BC","mappings":{"default":{"default":"Keil-Schwanz nach rechts Pfeil"}}},{"category":"So","key":"27BD","mappings":{"default":{"default":"Schwerer, nach rechts gekeilter Pfeil"}}},{"category":"So","key":"27BE","mappings":{"default":{"default":"Offener Pfeil nach rechts"}}},{"category":"Sm","key":"27F0","mappings":{"default":{"default":"Vierfachpfeil nach oben"}}},{"category":"Sm","key":"27F1","mappings":{"default":{"default":"Vierfacher Pfeil nach unten"}}},{"category":"Sm","key":"27F2","mappings":{"default":{"default":"Kreispfeil gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"27F3","mappings":{"default":{"default":"Kreispfeil im Uhrzeigersinn"}}},{"category":"Sm","key":"27F4","mappings":{"default":{"default":"rechter Pfeil mit Circled Plus"}}},{"category":"Sm","key":"27F5","mappings":{"default":{"default":"Langer Pfeil nach links"}}},{"category":"Sm","key":"27F6","mappings":{"default":{"default":"Langer Pfeil nach rechts"}}},{"category":"Sm","key":"27F7","mappings":{"default":{"default":"Langer linker rechter Pfeil"}}},{"category":"Sm","key":"27F8","mappings":{"default":{"default":"Langer Doppelpfeil nach links"}}},{"category":"Sm","key":"27F9","mappings":{"default":{"default":"Langer Doppelpfeil nach rechts"}}},{"category":"Sm","key":"27FA","mappings":{"default":{"default":"Langer linker rechter Doppelpfeil"}}},{"category":"Sm","key":"27FB","mappings":{"default":{"default":"Langer Pfeil nach links von der Bar"}}},{"category":"Sm","key":"27FC","mappings":{"default":{"default":"Langer Rechtspfeil von der Bar"}}},{"category":"Sm","key":"27FD","mappings":{"default":{"default":"Langer Doppelpfeil nach links von der Bar"}}},{"category":"Sm","key":"27FE","mappings":{"default":{"default":"Langer Doppelpfeil nach rechts von der Bar"}}},{"category":"Sm","key":"27FF","mappings":{"default":{"default":"Langer nach rechts gerichteter Squiggle-Pfeil"}}},{"category":"Sm","key":"2900","mappings":{"default":{"default":"Pfeil nach rechts mit senkrechtem Strich"}}},{"category":"Sm","key":"2901","mappings":{"default":{"default":"Zwei Pfeil nach rechts mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2902","mappings":{"default":{"default":"Doppelpfeil nach links mit vertikalem Strich"}}},{"category":"Sm","key":"2903","mappings":{"default":{"default":"Doppelpfeil nach rechts mit vertikalem Strich"}}},{"category":"Sm","key":"2904","mappings":{"default":{"default":"Linker rechter Doppelpfeil mit vertikalem Strich"}}},{"category":"Sm","key":"2905","mappings":{"default":{"default":"Zwei Pfeil nach rechts von der Bar"}}},{"category":"Sm","key":"2906","mappings":{"default":{"default":"Doppelpfeil nach links von der Bar"}}},{"category":"Sm","key":"2907","mappings":{"default":{"default":"Doppelter Pfeil nach rechts von der Bar"}}},{"category":"Sm","key":"2908","mappings":{"default":{"default":"Abwärtspfeil mit horizontalem Strich"}}},{"category":"Sm","key":"2909","mappings":{"default":{"default":"Aufwärtspfeil mit horizontalem Anschlag"}}},{"category":"Sm","key":"290A","mappings":{"default":{"default":"Dreifachpfeil nach oben"}}},{"category":"Sm","key":"290B","mappings":{"default":{"default":"Dreifacher Pfeil nach unten"}}},{"category":"Sm","key":"290C","mappings":{"default":{"default":"Doppelpfeil nach links"}}},{"category":"Sm","key":"290D","mappings":{"default":{"default":"Doppelpfeil nach rechts"}}},{"category":"Sm","key":"290E","mappings":{"default":{"default":"Dreifacher Strichpfeil nach links"}}},{"category":"Sm","key":"290F","mappings":{"default":{"default":"Dreifacher Bindestrich nach rechts"}}},{"category":"Sm","key":"2910","mappings":{"default":{"default":"Dreipoliger Pfeil nach rechts"}}},{"category":"Sm","key":"2911","mappings":{"default":{"default":"Pfeil nach rechts mit gepunktetem Stamm"}}},{"category":"Sm","key":"2912","mappings":{"default":{"default":"Aufwärtspfeil zur Bar"}}},{"category":"Sm","key":"2913","mappings":{"default":{"default":"Abwärtspfeil zur Bar"}}},{"category":"Sm","key":"2914","mappings":{"default":{"default":"Pfeil nach rechts mit Schwanz mit senkrechtem Anschlag"}}},{"category":"Sm","key":"2915","mappings":{"default":{"default":"Pfeil nach rechts mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2916","mappings":{"default":{"default":"Nach rechts gerichteter zweiköpfiger Pfeil mit Schwanz"}}},{"category":"Sm","key":"2917","mappings":{"default":{"default":"Nach rechts gerichteter Doppelpfeil mit Schwanz mit senkrechtem Anschlag"}}},{"category":"Sm","key":"2918","mappings":{"default":{"default":"Nach rechts gerichteter Doppelpfeil mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2919","mappings":{"default":{"default":"Pfeil nach links nach links"}}},{"category":"Sm","key":"291A","mappings":{"default":{"default":"Pfeil nach rechts nach rechts"}}},{"category":"Sm","key":"291B","mappings":{"default":{"default":"Doppelter Pfeilschwanz nach links"}}},{"category":"Sm","key":"291C","mappings":{"default":{"default":"Doppelter Pfeilschwanz nach rechts"}}},{"category":"Sm","key":"291D","mappings":{"default":{"default":"Pfeil nach links zu Black Diamond"}}},{"category":"Sm","key":"291E","mappings":{"default":{"default":"Pfeil nach rechts zu Black Diamond"}}},{"category":"Sm","key":"291F","mappings":{"default":{"default":"Pfeil nach links von Bar zu Black Diamond"}}},{"category":"Sm","key":"2920","mappings":{"default":{"default":"Pfeil nach rechts von Bar zu Black Diamond"}}},{"category":"Sm","key":"2921","mappings":{"default":{"default":"Nordwest- und Südostpfeil"}}},{"category":"Sm","key":"2922","mappings":{"default":{"default":"Nordost- und Südwestpfeil"}}},{"category":"Sm","key":"2923","mappings":{"default":{"default":"Nordwestpfeil mit Haken"}}},{"category":"Sm","key":"2924","mappings":{"default":{"default":"Nordostpfeil mit Haken"}}},{"category":"Sm","key":"2925","mappings":{"default":{"default":"Südostpfeil mit Haken"}}},{"category":"Sm","key":"2926","mappings":{"default":{"default":"Südwestpfeil mit Haken"}}},{"category":"Sm","key":"2927","mappings":{"default":{"default":"Nordwestpfeil und Nordostpfeil"}}},{"category":"Sm","key":"2928","mappings":{"default":{"default":"Nordostpfeil und Südostpfeil"}}},{"category":"Sm","key":"2929","mappings":{"default":{"default":"Südostpfeil und Südwestpfeil"}}},{"category":"Sm","key":"292A","mappings":{"default":{"default":"Südwestpfeil und Nordwestpfeil"}}},{"category":"Sm","key":"292D","mappings":{"default":{"default":"Südostpfeil Kreuzung Nordostpfeil"}}},{"category":"Sm","key":"292E","mappings":{"default":{"default":"Nordostpfeil Kreuzung Südostpfeil"}}},{"category":"Sm","key":"292F","mappings":{"default":{"default":"Fallende Diagonale, die Nordostpfeil kreuzt"}}},{"category":"Sm","key":"2930","mappings":{"default":{"default":"Steigende Diagonale, die Südostpfeil kreuzt"}}},{"category":"Sm","key":"2931","mappings":{"default":{"default":"Nordostpfeilüberquerung Nordwestpfeil"}}},{"category":"Sm","key":"2932","mappings":{"default":{"default":"Nordwestpfeilüberquerung Nordostpfeil"}}},{"category":"Sm","key":"2933","mappings":{"default":{"default":"Wellenpfeil, der direkt nach rechts zeigt"}}},{"category":"Sm","key":"2934","mappings":{"default":{"default":"Pfeil nach rechts, dann nach oben gekrümmt"}}},{"category":"Sm","key":"2935","mappings":{"default":{"default":"Pfeil nach rechts, dann nach unten gekrümmt"}}},{"category":"Sm","key":"2936","mappings":{"default":{"default":"Pfeil nach unten, dann nach links gekrümmt"}}},{"category":"Sm","key":"2937","mappings":{"default":{"default":"Pfeil nach unten, dann nach rechts gekrümmt"}}},{"category":"Sm","key":"2938","mappings":{"default":{"default":"Rechtsseitiger Bogen im Uhrzeigersinn"}}},{"category":"Sm","key":"2939","mappings":{"default":{"default":"Bogen der linken Seite gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"293A","mappings":{"default":{"default":"Pfeil oben gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"293B","mappings":{"default":{"default":"Pfeil unten gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"293C","mappings":{"default":{"default":"Pfeil oben im Uhrzeigersinn mit Minus"}}},{"category":"Sm","key":"293D","mappings":{"default":{"default":"Pfeil oben gegen den Uhrzeigersinn mit Plus"}}},{"category":"Sm","key":"293E","mappings":{"default":{"default":"Rechts unten halbkreisförmig im Uhrzeigersinn"}}},{"category":"Sm","key":"293F","mappings":{"default":{"default":"Linker halbkreisförmiger Pfeil gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"2940","mappings":{"default":{"default":"Geschlossener Kreispfeil gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"2941","mappings":{"default":{"default":"Geschlossener Kreispfeil im Uhrzeigersinn"}}},{"category":"Sm","key":"2942","mappings":{"default":{"default":"Pfeil nach rechts über Kurzer Pfeil nach links"}}},{"category":"Sm","key":"2943","mappings":{"default":{"default":"Pfeil nach links über Kurzer Pfeil nach rechts"}}},{"category":"Sm","key":"2944","mappings":{"default":{"default":"Kurzer Pfeil nach rechts Über Pfeil nach links"}}},{"category":"Sm","key":"2945","mappings":{"default":{"default":"Pfeil nach rechts mit Plus unten"}}},{"category":"Sm","key":"2946","mappings":{"default":{"default":"Pfeil nach links mit Plus unten"}}},{"category":"Sm","key":"2947","mappings":{"default":{"default":"Pfeil nach rechts durch X"}}},{"category":"Sm","key":"2948","mappings":{"default":{"default":"Linker rechter Pfeil durch kleinen Kreis"}}},{"category":"Sm","key":"2949","mappings":{"default":{"default":"Aufwärts zweiköpfiger Pfeil vom kleinen Kreis"}}},{"key":"2970","mappings":{"default":{"default":"round implies"}},"category":"Sm"},{"category":"Sm","key":"2971","mappings":{"default":{"default":"Gleichheitszeichen über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2972","mappings":{"default":{"default":"Tilde-Operator über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2973","mappings":{"default":{"default":"Pfeil nach links über Tilde-Operator"}}},{"category":"Sm","key":"2974","mappings":{"default":{"default":"Pfeil nach rechts über Tilde-Operator"}}},{"category":"Sm","key":"2975","mappings":{"default":{"default":"Pfeil nach rechts fast gleich"}}},{"category":"Sm","key":"2976","mappings":{"default":{"default":"Weniger als oben Pfeil nach links"}}},{"category":"Sm","key":"2977","mappings":{"default":{"default":"Pfeil nach links durch weniger als"}}},{"category":"Sm","key":"2978","mappings":{"default":{"default":"Größer als über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2979","mappings":{"default":{"default":"Untersatz über dem Pfeil nach rechts"}}},{"category":"Sm","key":"297A","mappings":{"default":{"default":"Pfeil nach links durch Teilmenge"}}},{"category":"Sm","key":"297B","mappings":{"default":{"default":"Superset über dem Pfeil nach links"}}},{"category":"Sm","key":"29B3","mappings":{"default":{"default":"Leeres Set mit Pfeil rechts oben"}}},{"category":"Sm","key":"29B4","mappings":{"default":{"default":"Leeres Set mit linkem Pfeil oben"}}},{"category":"Sm","key":"29BD","mappings":{"default":{"default":"Pfeil nach oben durch Kreis"}}},{"category":"Sm","key":"29EA","mappings":{"default":{"default":"Schwarzer Diamant mit Pfeil nach unten"}}},{"category":"Sm","key":"29EC","mappings":{"default":{"default":"Weißer Kreis mit Pfeil nach unten"}}},{"category":"Sm","key":"29ED","mappings":{"default":{"default":"Schwarzer Kreis mit Pfeil nach unten"}}},{"category":"Sm","key":"2A17","mappings":{"default":{"default":"Integral mit Pfeil nach links mit Haken"}}},{"category":"So","key":"2B00","mappings":{"default":{"default":"North East White Arrow"}}},{"category":"So","key":"2B01","mappings":{"default":{"default":"Nordwestlicher weißer Pfeil"}}},{"category":"So","key":"2B02","mappings":{"default":{"default":"Südostweißer Pfeil"}}},{"category":"So","key":"2B03","mappings":{"default":{"default":"Südwestweißer Pfeil"}}},{"category":"So","key":"2B04","mappings":{"default":{"default":"Linker rechter weißer Pfeil"}}},{"category":"So","key":"2B05","mappings":{"default":{"default":"Schwarzer Pfeil nach links"}}},{"category":"So","key":"2B06","mappings":{"default":{"default":"Aufwärts schwarzer Pfeil"}}},{"category":"So","key":"2B07","mappings":{"default":{"default":"Abwärts schwarzer Pfeil"}}},{"category":"So","key":"2B08","mappings":{"default":{"default":"Schwarzer Nordostpfeil"}}},{"category":"So","key":"2B09","mappings":{"default":{"default":"Nordwestlicher schwarzer Pfeil"}}},{"category":"So","key":"2B0A","mappings":{"default":{"default":"Schwarzer Südostpfeil"}}},{"category":"So","key":"2B0B","mappings":{"default":{"default":"Südwestlicher schwarzer Pfeil"}}},{"category":"So","key":"2B0C","mappings":{"default":{"default":"Linker rechter schwarzer Pfeil"}}},{"category":"So","key":"2B0D","mappings":{"default":{"default":"Schwarzer Pfeil nach unten"}}},{"category":"So","key":"2B0E","mappings":{"default":{"default":"Pfeil nach rechts mit Spitze nach unten"}}},{"category":"So","key":"2B0F","mappings":{"default":{"default":"Pfeil nach rechts mit Spitze nach oben"}}},{"category":"So","key":"2B10","mappings":{"default":{"default":"Pfeil nach links mit Spitze nach unten"}}},{"category":"So","key":"2B11","mappings":{"default":{"default":"Pfeil nach links mit Spitze nach oben"}}},{"category":"Sm","key":"2B30","mappings":{"default":{"default":"Linker Pfeil mit kleinem Kreis"}}},{"category":"Sm","key":"2B31","mappings":{"default":{"default":"Drei nach links gerichtete Pfeile"}}},{"category":"Sm","key":"2B32","mappings":{"default":{"default":"Linker Pfeil mit Circled Plus"}}},{"category":"Sm","key":"2B33","mappings":{"default":{"default":"Langer nach links gerichteter Squiggle-Pfeil"}}},{"category":"Sm","key":"2B34","mappings":{"default":{"default":"Pfeil nach links mit senkrechtem Strich"}}},{"category":"Sm","key":"2B35","mappings":{"default":{"default":"Doppelpfeil nach links mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2B36","mappings":{"default":{"default":"Doppelpfeil nach links von der Bar"}}},{"category":"Sm","key":"2B37","mappings":{"default":{"default":"Pfeil nach links mit zwei Köpfen"}}},{"category":"Sm","key":"2B38","mappings":{"default":{"default":"Pfeil nach links mit gepunktetem Stamm"}}},{"category":"Sm","key":"2B39","mappings":{"default":{"default":"Pfeil nach links mit Schwanz mit vertikalem Strich"}}},{"category":"Sm","key":"2B3A","mappings":{"default":{"default":"Pfeil nach links mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2B3B","mappings":{"default":{"default":"Nach links gerichteter zweiköpfiger Pfeil mit Schwanz"}}},{"category":"Sm","key":"2B3C","mappings":{"default":{"default":"Nach links gerichteter zweiköpfiger Pfeil mit Schwanz mit vertikalem Strich"}}},{"category":"Sm","key":"2B3D","mappings":{"default":{"default":"Nach links gerichteter zweiköpfiger Pfeil mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2B3E","mappings":{"default":{"default":"Pfeil nach links durch X"}}},{"category":"Sm","key":"2B3F","mappings":{"default":{"default":"Wellenpfeil, der direkt nach links zeigt"}}},{"category":"Sm","key":"2B40","mappings":{"default":{"default":"Gleichheitszeichen über dem Pfeil nach links"}}},{"category":"Sm","key":"2B41","mappings":{"default":{"default":"Reverse-Tilde-Operator Über Linkspfeil"}}},{"category":"Sm","key":"2B42","mappings":{"default":{"default":"Pfeil nach links über der Rückseite fast gleich"}}},{"category":"Sm","key":"2B43","mappings":{"default":{"default":"Pfeil nach rechts durch mehr als"}}},{"category":"Sm","key":"2B44","mappings":{"default":{"default":"Pfeil nach rechts durch Superset"}}},{"category":"So","key":"2B45","mappings":{"default":{"default":"Vierfachpfeil nach links"}}},{"category":"So","key":"2B46","mappings":{"default":{"default":"Vierfachpfeil nach rechts"}}},{"category":"Sm","key":"2B47","mappings":{"default":{"default":"Reverse-Tilde-Operator über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2B48","mappings":{"default":{"default":"Pfeil nach rechts oben fast gleich"}}},{"category":"Sm","key":"2B49","mappings":{"default":{"default":"Tilde-Operator über dem Pfeil nach links"}}},{"category":"Sm","key":"2B4A","mappings":{"default":{"default":"Pfeil nach links oben fast gleich"}}},{"category":"Sm","key":"2B4B","mappings":{"default":{"default":"Pfeil nach links über Reverse-Tilde-Operator"}}},{"category":"Sm","key":"2B4C","mappings":{"default":{"default":"Pfeil nach rechts über Reverse-Tilde-Operator"}}},{"category":"Sm","key":"FFE9","mappings":{"default":{"default":"Halbbreiter Pfeil nach links"}}},{"category":"Sm","key":"FFEA","mappings":{"default":{"default":"Halbbreiter Pfeil nach oben"}}},{"category":"Sm","key":"FFEB","mappings":{"default":{"default":"Halbbreiter Pfeil nach rechts"}}},{"category":"Sm","key":"FFEC","mappings":{"default":{"default":"Halbbreiter Pfeil nach unten"}}}]
+,
+"de/symbols/math_characters.js": 
+[{"locale":"de"},{"category":"Ll","key":"2113","mappings":{"default":{"default":"Skript klein L"}}},{"category":"Sm","key":"2118","mappings":{"default":{"default":"Skript groß P"}}},{"category":"Ll","key":"213C","mappings":{"default":{"default":"pi mit Doppelstrich"}}},{"category":"Ll","key":"213D","mappings":{"default":{"default":"gamma mit Doppelstrich"}}},{"category":"Lu","key":"213E","mappings":{"default":{"default":"groß Gamma mit Doppelstrich"}}},{"category":"Lu","key":"213F","mappings":{"default":{"default":"groß Pi mit Doppelstrich"}}},{"category":"Sm","key":"2140","mappings":{"default":{"default":"Summenzeichen mit Doppelstrich"}}},{"category":"Lu","key":"2145","mappings":{"default":{"default":"groß D kursiv mit Doppelstrich"}}},{"category":"Ll","mappings":{"default":{"default":"d kursiv mit Doppelstrich"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"e kursiv mit Doppelstrich"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"i kursiv mit Doppelstrich"}},"key":"2148"},{"category":"Ll","key":"2149","mappings":{"default":{"default":"j kursiv mit Doppelstrich"}}},{"category":"Ll","key":"1D6A4","mappings":{"default":{"default":"punktloses i kursiv"}}},{"category":"Ll","key":"1D6A5","mappings":{"default":{"default":"punktloses j kursiv"}}}]
+,
+"de/symbols/math_delimiters.js": 
+[{"locale":"de"},{"key":"0028","mappings":{"default":{"default":"Klammer auf"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"Klammer zu"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"eckige Klammer auf"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"eckige Klammer zu"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"geschwungene Klammer auf"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"geschwungene Klammer zu"}},"category":"Pe"},{"category":"Ps","key":"2045","mappings":{"default":{"default":"Linke eckige Klammer mit Stachel"}}},{"category":"Pe","key":"2046","mappings":{"default":{"default":"Rechte eckige Klammer mit Stachel"}}},{"category":"Sm","key":"2308","mappings":{"default":{"default":"linke Aufrundungsklammer"}}},{"category":"Sm","key":"2309","mappings":{"default":{"default":"rechte Aufrundungsklammer"}}},{"category":"Sm","key":"230A","mappings":{"default":{"default":"linke Abrundungsklammer"}}},{"category":"Sm","key":"230B","mappings":{"default":{"default":"rechter Abrundungsklammer"}}},{"category":"So","key":"230C","mappings":{"default":{"default":"unterer rechter Abschnitt"}}},{"category":"So","key":"230D","mappings":{"default":{"default":"Unterer linker Abschnitt"}}},{"category":"So","key":"230E","mappings":{"default":{"default":"Oberer rechter Abschnitt"}}},{"category":"So","key":"230F","mappings":{"default":{"default":"Oberer linker Abschnitt"}}},{"category":"So","key":"231C","mappings":{"default":{"default":"Obere linke Ecke"}}},{"category":"So","key":"231D","mappings":{"default":{"default":"Obere rechte Ecke"}}},{"category":"So","key":"231E","mappings":{"default":{"default":"Untere linke Ecke"}}},{"category":"So","key":"231F","mappings":{"default":{"default":"Rechte untere Ecke"}}},{"category":"Sm","key":"2320","mappings":{"default":{"default":"Obere Hälfte eines Integrals"}}},{"category":"Sm","key":"2321","mappings":{"default":{"default":"Untere Hälfte eines Integrals"}}},{"category":"Ps","key":"2329","mappings":{"default":{"default":"Linke spitze Klammer"}}},{"category":"Pe","key":"232A","mappings":{"default":{"default":"Rechte spitze Klammer"}}},{"category":"Sm","key":"239B","mappings":{"default":{"default":"Oberer Teil der linken Klammer"}}},{"category":"Sm","key":"239C","mappings":{"default":{"default":"Linke Klammerverlängerung"}}},{"category":"Sm","key":"239D","mappings":{"default":{"default":"Unterer Teil der linken Klammer"}}},{"category":"Sm","key":"239E","mappings":{"default":{"default":"Oberer Teil der rechten Klammer"}}},{"category":"Sm","key":"239F","mappings":{"default":{"default":"Rechte Klammerverlängerung"}}},{"category":"Sm","key":"23A0","mappings":{"default":{"default":"Unterer Teil der rechten Klammer"}}},{"category":"Sm","key":"23A1","mappings":{"default":{"default":"Oberer Teil der linken eckigen Klammer"}}},{"category":"Sm","key":"23A2","mappings":{"default":{"default":"Linke eckige Klammerverlängerung"}}},{"category":"Sm","key":"23A3","mappings":{"default":{"default":"unterer Teil der linken eckigen Klammer"}}},{"category":"Sm","key":"23A4","mappings":{"default":{"default":"Oberer Teil der rechten eckigen Klammer"}}},{"category":"Sm","key":"23A5","mappings":{"default":{"default":"Rechte eckige Klammerverlängerung"}}},{"category":"Sm","key":"23A6","mappings":{"default":{"default":"unterer Teil der rechten eckigen Klammer"}}},{"category":"Sm","key":"23A7","mappings":{"default":{"default":"oberer Teil der linken geschweiften Klammer"}}},{"category":"Sm","key":"23A8","mappings":{"default":{"default":"Mittelstück der linken geschweiften Klammer"}}},{"category":"Sm","key":"23A9","mappings":{"default":{"default":"unterer Teil der linken geschweiften Klammer"}}},{"category":"Sm","key":"23AA","mappings":{"default":{"default":"Zwischenteil einer geschweiften Klammer"}}},{"category":"Sm","key":"23AB","mappings":{"default":{"default":"oberer Teil der rechten geschweiften Klammer"}}},{"category":"Sm","key":"23AC","mappings":{"default":{"default":"Mittelstück der rechten geschweiften Klammer"}}},{"category":"Sm","key":"23AD","mappings":{"default":{"default":"unterer Teil der rechten geschweiften Klammer"}}},{"category":"Sm","key":"23AE","mappings":{"default":{"default":"Mittelteil eines Integrals"}}},{"category":"Sm","key":"23AF","mappings":{"default":{"default":"Erweiterung einer Querlinie"}}},{"category":"Sm","key":"23B0","mappings":{"default":{"default":"Geschweiftes Klammerteil oben links oder rechts unten"}}},{"category":"Sm","key":"23B1","mappings":{"default":{"default":"Geschweiftes Klammerteil oben rechts oder unten links"}}},{"category":"Sm","key":"23B2","mappings":{"default":{"default":"Oberer Teil einer Summe"}}},{"category":"Sm","key":"23B3","mappings":{"default":{"default":"Unterer Teil einer Summe"}}},{"key":"23B4","mappings":{"default":{"default":"Obere eckige Klammer"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"Untere eckige Klammer"}},"category":"So"},{"category":"So","key":"23B6","mappings":{"default":{"default":"Untere eckige Klammer auf oberer eckiger Klammer"}}},{"category":"So","key":"23B7","mappings":{"default":{"default":"Unterer Teil des Radikalsymbols"}}},{"category":"So","key":"23B8","mappings":{"default":{"default":"Linke vertikale Boxlinie"}}},{"category":"So","key":"23B9","mappings":{"default":{"default":"Rechte vertikale Boxlinie"}}},{"category":"Sm","key":"23DC","mappings":{"default":{"default":"Obere Klammer"}}},{"category":"Sm","key":"23DD","mappings":{"default":{"default":"Untere Klammer"}}},{"category":"Sm","key":"23DE","mappings":{"default":{"default":"Obere geschweifte Klammer"}}},{"category":"Sm","key":"23DF","mappings":{"default":{"default":"Untere geschweifte Klammer"}}},{"category":"Sm","key":"23E0","mappings":{"default":{"default":"Obere eckige Klammer"}}},{"category":"Sm","key":"23E1","mappings":{"default":{"default":"Untere eckige Klammer"}}},{"category":"Ps","key":"2768","mappings":{"default":{"default":"Mittlere linke Klammerverzierung"}}},{"category":"Pe","key":"2769","mappings":{"default":{"default":"Mittlere rechte Klammerverzierung"}}},{"category":"Ps","key":"276A","mappings":{"default":{"default":"Mittlere abgeflachte linke Klammerverzierung"}}},{"category":"Pe","key":"276B","mappings":{"default":{"default":"Mittlere abgeflachte rechte Klammerverzierung"}}},{"category":"Ps","key":"276C","mappings":{"default":{"default":"Mittlere nach links weisende Winkelhalterung"}}},{"category":"Pe","key":"276D","mappings":{"default":{"default":"Mittlere, rechtwinklige Winkelhalterung"}}},{"category":"Ps","key":"276E","mappings":{"default":{"default":"Schwere nach links weisende Anführungszeichen-Verzierung"}}},{"category":"Pe","key":"276F","mappings":{"default":{"default":"Schwere nach rechts zeigenden Winkel-Anführungszeichen-Verzierung"}}},{"category":"Ps","key":"2770","mappings":{"default":{"default":"Schwere nach links weisende Winkelhalterung"}}},{"category":"Pe","key":"2771","mappings":{"default":{"default":"Schwere, nach rechts weisende Winkelhalterung"}}},{"category":"Ps","key":"2772","mappings":{"default":{"default":"Leichte linke Schildpatt Bracket Ornament"}}},{"category":"Pe","key":"2773","mappings":{"default":{"default":"Leichte rechte Schildpatt-Klammerverzierung"}}},{"category":"Ps","key":"2774","mappings":{"default":{"default":"Mittlere linke geschweifte Klammerverzierung"}}},{"category":"Pe","key":"2775","mappings":{"default":{"default":"Mittlere rechte geschweifte Klammerverzierung"}}},{"category":"Ps","key":"27C5","mappings":{"default":{"default":"Linker S-förmiger Taschenbegrenzer"}}},{"category":"Pe","key":"27C6","mappings":{"default":{"default":"rechter S-förmiger Taschenbegrenzer"}}},{"category":"Ps","key":"27E6","mappings":{"default":{"default":"Mathematische linke weiße eckige Klammer"}}},{"category":"Pe","key":"27E7","mappings":{"default":{"default":"Mathematische rechte weiße eckige Klammer"}}},{"category":"Ps","key":"27E8","mappings":{"default":{"default":"Mathematische linke Winkelklammer"}}},{"category":"Pe","key":"27E9","mappings":{"default":{"default":"Mathematische rechtwinklige Klammer"}}},{"category":"Ps","key":"27EA","mappings":{"default":{"default":"Mathematische linke doppelte Winkelklammer"}}},{"category":"Pe","key":"27EB","mappings":{"default":{"default":"Mathematische rechtwinklige eckige Klammer"}}},{"category":"Ps","key":"27EC","mappings":{"default":{"default":"Mathematische linke Schildkrötenpanzerhalterung"}}},{"category":"Pe","key":"27ED","mappings":{"default":{"default":"Mathematische rechte weiße Schildpatt-Klammer"}}},{"category":"Ps","key":"27EE","mappings":{"default":{"default":"Mathematische linke abgeflachte Klammer"}}},{"category":"Pe","key":"27EF","mappings":{"default":{"default":"Mathematische rechte abgeflachte Klammer"}}},{"category":"Ps","key":"2983","mappings":{"default":{"default":"Linke weiße geschweifte Klammer"}}},{"category":"Pe","key":"2984","mappings":{"default":{"default":"Rechte weiße geschweifte Klammer"}}},{"category":"Ps","key":"2985","mappings":{"default":{"default":"Linke weiße Klammer"}}},{"category":"Pe","key":"2986","mappings":{"default":{"default":"Rechte weiße Klammer"}}},{"category":"Ps","key":"2987","mappings":{"default":{"default":"Z-Notation Linke Bildklammer"}}},{"category":"Pe","key":"2988","mappings":{"default":{"default":"Z-Notation rechte Bildklammer"}}},{"category":"Ps","key":"2989","mappings":{"default":{"default":"Z-Notation Linke Klammer"}}},{"category":"Pe","key":"298A","mappings":{"default":{"default":"Z Notation Right Binding Bracket"}}},{"category":"Ps","key":"298B","mappings":{"default":{"default":"Linke eckige Klammer mit Unterlenker"}}},{"category":"Pe","key":"298C","mappings":{"default":{"default":"Rechte eckige Klammer mit Unterlenker"}}},{"category":"Ps","key":"298D","mappings":{"default":{"default":"Linke eckige Klammer mit Häkchen in der oberen Ecke"}}},{"category":"Pe","key":"298E","mappings":{"default":{"default":"Rechte eckige Klammer mit Tick in der unteren Ecke"}}},{"category":"Ps","key":"298F","mappings":{"default":{"default":"Linke eckige Klammer mit Tick in der unteren Ecke"}}},{"category":"Pe","key":"2990","mappings":{"default":{"default":"Rechte eckige Klammer mit Tick in der oberen Ecke"}}},{"category":"Ps","key":"2991","mappings":{"default":{"default":"Linke Winkelklammer mit Punkt"}}},{"category":"Pe","key":"2992","mappings":{"default":{"default":"Rechtwinklige Klammer mit Punkt"}}},{"category":"Ps","key":"2993","mappings":{"default":{"default":"Linker Bogen weniger als Halterung"}}},{"category":"Pe","key":"2994","mappings":{"default":{"default":"rechter Bogen größer als Halterung"}}},{"category":"Ps","key":"2995","mappings":{"default":{"default":"Doppelter linker Bogen größer als Halterung"}}},{"category":"Pe","key":"2996","mappings":{"default":{"default":"Doppelter rechter Bogen weniger als Halterung"}}},{"category":"Ps","key":"2997","mappings":{"default":{"default":"Linke schwarze Schildkrötenhalterung"}}},{"category":"Pe","key":"2998","mappings":{"default":{"default":"Rechte schwarze Schildpatt-Klammer"}}},{"category":"Ps","key":"29D8","mappings":{"default":{"default":"Linker wackeliger Zaun"}}},{"category":"Pe","key":"29D9","mappings":{"default":{"default":"rechter wackeliger Zaun"}}},{"category":"Ps","key":"29DA","mappings":{"default":{"default":"Linker doppelter wackeliger Zaun"}}},{"category":"Pe","key":"29DB","mappings":{"default":{"default":"rechter doppelter wackeliger Zaun"}}},{"category":"Ps","key":"29FC","mappings":{"default":{"default":"Nach links zeigender gebogener Winkelhalter"}}},{"category":"Pe","key":"29FD","mappings":{"default":{"default":"Nach rechts zeigender gebogener Winkelhalter"}}},{"category":"Ps","key":"2E22","mappings":{"default":{"default":"Obere linke halbe Halterung"}}},{"category":"Pe","key":"2E23","mappings":{"default":{"default":"Obere rechte halbe Klammer"}}},{"category":"Ps","key":"2E24","mappings":{"default":{"default":"Linke halbe halterung unten"}}},{"category":"Pe","key":"2E25","mappings":{"default":{"default":"Untere rechte halbe Halterung"}}},{"category":"Ps","key":"2E26","mappings":{"default":{"default":"U-Halterung links seitlich"}}},{"category":"Pe","key":"2E27","mappings":{"default":{"default":"U-Halterung rechts seitlich"}}},{"category":"Ps","key":"2E28","mappings":{"default":{"default":"Linke doppelte Klammer"}}},{"category":"Pe","key":"2E29","mappings":{"default":{"default":"Rechte doppelte Klammer"}}},{"category":"Ps","key":"3008","mappings":{"default":{"default":"Linke Winkelklammer"}}},{"category":"Pe","key":"3009","mappings":{"default":{"default":"Rechtwinklige Halterung"}}},{"category":"Ps","key":"300A","mappings":{"default":{"default":"Linke Doppelwinkelhalterung"}}},{"category":"Pe","key":"300B","mappings":{"default":{"default":"Rechte Doppelwinkelhalterung"}}},{"category":"Ps","key":"300C","mappings":{"default":{"default":"Linke Eckklammer"}}},{"category":"Pe","key":"300D","mappings":{"default":{"default":"Rechte Eckhalterung"}}},{"category":"Ps","key":"300E","mappings":{"default":{"default":"Linke weiße Eckhalterung"}}},{"category":"Pe","key":"300F","mappings":{"default":{"default":"Rechte weiße Eckhalterung"}}},{"category":"Ps","key":"3010","mappings":{"default":{"default":"Linke schwarze linsenförmige Halterung"}}},{"category":"Pe","key":"3011","mappings":{"default":{"default":"Rechte schwarze linsenförmige Halterung"}}},{"category":"Ps","key":"3014","mappings":{"default":{"default":"Linke Schildpatt-Klammer"}}},{"category":"Pe","key":"3015","mappings":{"default":{"default":"Rechte Schildpattlasche"}}},{"category":"Ps","key":"3016","mappings":{"default":{"default":"Linke weiße linsenförmige Halterung"}}},{"category":"Pe","key":"3017","mappings":{"default":{"default":"Rechte weiße linsenförmige Halterung"}}},{"category":"Ps","key":"3018","mappings":{"default":{"default":"Linke weiße Schildpatt-Klammer"}}},{"category":"Pe","key":"3019","mappings":{"default":{"default":"Rechte weiße Schildpatt-Klammer"}}},{"category":"Ps","key":"301A","mappings":{"default":{"default":"Linke weiße eckige Klammer"}}},{"category":"Pe","key":"301B","mappings":{"default":{"default":"Rechte weiße eckige Klammer"}}},{"category":"Ps","key":"301D","mappings":{"default":{"default":"Doppelte Anführungszeichen in umgekehrter Reihenfolge"}}},{"category":"Pe","key":"301E","mappings":{"default":{"default":"Doppelte Anführungszeichen"}}},{"category":"Pe","key":"301F","mappings":{"default":{"default":"Niedriges doppeltes Prime-Anführungszeichen"}}},{"category":"Ps","key":"FD3E","mappings":{"default":{"default":"Verzierte linke Klammer"}}},{"category":"Pe","key":"FD3F","mappings":{"default":{"default":"Verzierte rechte Klammer"}}},{"category":"Ps","key":"FE17","mappings":{"default":{"default":"Präsentationsformular für vertikale linke weiße linsenförmige Halterung"}}},{"category":"Pe","key":"FE18","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige linsenförmige Halterung"}}},{"category":"Ps","key":"FE35","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Klammer"}}},{"category":"Pe","key":"FE36","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte Klammer"}}},{"category":"Ps","key":"FE37","mappings":{"default":{"default":"Präsentationsformular für vertikale linke geschweifte Klammer"}}},{"category":"Pe","key":"FE38","mappings":{"default":{"default":"Präsentationsformular für vertikale, recht geschweifte Klammer"}}},{"category":"Ps","key":"FE39","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Schildpattklammer"}}},{"category":"Pe","key":"FE3A","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte Schildpatt-Klammer"}}},{"category":"Ps","key":"FE3B","mappings":{"default":{"default":"Präsentationsformular für vertikale linke schwarze linsenförmige Halterung"}}},{"category":"Pe","key":"FE3C","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige schwarze linsenförmige Halterung"}}},{"category":"Ps","key":"FE3D","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Doppelwinkelhalterung"}}},{"category":"Pe","key":"FE3E","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige, rechtwinklige Halterung"}}},{"category":"Ps","key":"FE3F","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Winkelhalterung"}}},{"category":"Pe","key":"FE40","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige Halterung"}}},{"category":"Ps","key":"FE41","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Eckhalterung"}}},{"category":"Pe","key":"FE42","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte Eckhalterung"}}},{"category":"Ps","key":"FE43","mappings":{"default":{"default":"Präsentationsformular für vertikale linke weiße Eckhalterung"}}},{"category":"Pe","key":"FE44","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte weiße Eckhalterung"}}},{"category":"Ps","key":"FE47","mappings":{"default":{"default":"Präsentationsformular für vertikale linke eckige Klammer"}}},{"category":"Pe","key":"FE48","mappings":{"default":{"default":"Präsentationsformular für vertikale eckige Klammer"}}},{"category":"Ps","key":"FE59","mappings":{"default":{"default":"Kleine linke Klammer"}}},{"category":"Pe","key":"FE5A","mappings":{"default":{"default":"Kleine rechte Klammer"}}},{"category":"Ps","key":"FE5B","mappings":{"default":{"default":"Kleine linke geschweifte Klammer"}}},{"category":"Pe","key":"FE5C","mappings":{"default":{"default":"Kleine rechte geschweifte Klammer"}}},{"category":"Ps","key":"FE5D","mappings":{"default":{"default":"Kleine linke Schildpatt-Klammer"}}},{"category":"Pe","key":"FE5E","mappings":{"default":{"default":"Kleine rechte Schildpatt-Klammer"}}},{"category":"Ps","key":"FF08","mappings":{"default":{"default":"Linke Klammer in voller Breite"}}},{"category":"Pe","key":"FF09","mappings":{"default":{"default":"Rechte Klammer mit voller Breite"}}},{"category":"Ps","key":"FF3B","mappings":{"default":{"default":"Linke eckige Klammer mit voller Breite"}}},{"category":"Pe","key":"FF3D","mappings":{"default":{"default":"Rechteckige Klammer mit voller Breite"}}},{"category":"Ps","key":"FF5B","mappings":{"default":{"default":"Linke geschweifte Klammer mit voller Breite"}}},{"category":"Pe","key":"FF5D","mappings":{"default":{"default":"Rechtwinklige Klammer mit voller Breite"}}},{"category":"Ps","key":"FF5F","mappings":{"default":{"default":"Linke weiße Klammer mit voller Breite"}}},{"category":"Pe","key":"FF60","mappings":{"default":{"default":"Rechte breite weiße Klammer"}}},{"category":"Ps","key":"FF62","mappings":{"default":{"default":"Halbe breite linke eckklammer"}}},{"category":"Pe","key":"FF63","mappings":{"default":{"default":"Halbe breite rechte eckklammer"}}}]
+,
+"de/symbols/math_geometry.js": 
+[{"locale":"de"},{"category":"So","key":"2500","mappings":{"default":{"default":"Box Drawings Light Horizontal"}}},{"category":"So","key":"2501","mappings":{"default":{"default":"Box Drawings Schwere Horizontale"}}},{"category":"So","key":"2502","mappings":{"default":{"default":"Box Drawings Light Vertical"}}},{"category":"So","key":"2503","mappings":{"default":{"default":"Box Drawings Schwere Vertikale"}}},{"category":"So","key":"2504","mappings":{"default":{"default":"Box-Zeichnungen Licht Triple Dash Horizontal"}}},{"category":"So","key":"2505","mappings":{"default":{"default":"Box Drawings Heavy Triple Dash Horizontal"}}},{"category":"So","key":"2506","mappings":{"default":{"default":"Box Drawings Light Triple Dash Vertical"}}},{"category":"So","key":"2507","mappings":{"default":{"default":"Box Drawings Heavy Triple Dash Vertical"}}},{"category":"So","key":"2508","mappings":{"default":{"default":"Box Drawings Light Quadruple Dash Horizontal"}}},{"category":"So","key":"2509","mappings":{"default":{"default":"Box Drawings Heavy Quadruple Dash Horizontal"}}},{"category":"So","key":"250A","mappings":{"default":{"default":"Box Drawings Light Quadruple Dash Vertical"}}},{"category":"So","key":"250B","mappings":{"default":{"default":"Box Drawings Heavy Quadruple Dash Vertical"}}},{"category":"So","key":"250C","mappings":{"default":{"default":"Box Drawings Light Down und Right"}}},{"category":"So","key":"250D","mappings":{"default":{"default":"Box Drawings Down Light und Right Heavy"}}},{"category":"So","key":"250E","mappings":{"default":{"default":"Box Drawings Down Heavy und Right Light"}}},{"category":"So","key":"250F","mappings":{"default":{"default":"Box Drawings Heavy Down und Right"}}},{"category":"So","key":"2510","mappings":{"default":{"default":"Box Drawings Light Down und Links"}}},{"category":"So","key":"2511","mappings":{"default":{"default":"Box Drawings Down Light und Left Heavy"}}},{"category":"So","key":"2512","mappings":{"default":{"default":"Box Drawings Down Heavy und Left Light"}}},{"category":"So","key":"2513","mappings":{"default":{"default":"Box Drawings Heavy Down und Left"}}},{"category":"So","key":"2514","mappings":{"default":{"default":"Box-Zeichnungen leuchten auf und richtig"}}},{"category":"So","key":"2515","mappings":{"default":{"default":"Box Drawings Up Light und Right Heavy"}}},{"category":"So","key":"2516","mappings":{"default":{"default":"Box Drawings Up Heavy und Right Light"}}},{"category":"So","key":"2517","mappings":{"default":{"default":"Box Drawings Heavy Up und Right"}}},{"category":"So","key":"2518","mappings":{"default":{"default":"Box-Zeichnungen leuchten und links"}}},{"category":"So","key":"2519","mappings":{"default":{"default":"Box Drawings Up Light und Left Heavy"}}},{"category":"So","key":"251A","mappings":{"default":{"default":"Box Drawings Up Heavy und Left Light"}}},{"category":"So","key":"251B","mappings":{"default":{"default":"Box Drawings Heavy Up und Links"}}},{"category":"So","key":"251C","mappings":{"default":{"default":"Box Drawings Light Vertical und Right"}}},{"category":"So","key":"251D","mappings":{"default":{"default":"Box Drawings Vertical Light und Right Heavy"}}},{"category":"So","key":"251E","mappings":{"default":{"default":"Box Drawings Up Heavy und Right Down Light"}}},{"category":"So","key":"251F","mappings":{"default":{"default":"Box Drawings Down Heavy und Right Up Light"}}},{"category":"So","key":"2520","mappings":{"default":{"default":"Box Drawings Vertical Heavy und Right Light"}}},{"category":"So","key":"2521","mappings":{"default":{"default":"Box Drawings Down Light und Right Up Heavy"}}},{"category":"So","key":"2522","mappings":{"default":{"default":"Box Drawings Up Light und Right Down Heavy"}}},{"category":"So","key":"2523","mappings":{"default":{"default":"Box Drawings Heavy Vertical und Right"}}},{"category":"So","key":"2524","mappings":{"default":{"default":"Box Drawings Light Vertical und Left"}}},{"category":"So","key":"2525","mappings":{"default":{"default":"Box Drawings Vertical Light und Left Heavy"}}},{"category":"So","key":"2526","mappings":{"default":{"default":"Box Drawings Up Heavy und Left Down Light"}}},{"category":"So","key":"2527","mappings":{"default":{"default":"Box Drawings Down Heavy und Left Up Light"}}},{"category":"So","key":"2528","mappings":{"default":{"default":"Box Drawings Vertical Heavy und Left Light"}}},{"category":"So","key":"2529","mappings":{"default":{"default":"Box Drawings Down Light und Left Up Heavy"}}},{"category":"So","key":"252A","mappings":{"default":{"default":"Box Drawings Up Light und Left Down Heavy"}}},{"category":"So","key":"252B","mappings":{"default":{"default":"Box Drawings Heavy Vertical und Left"}}},{"category":"So","key":"252C","mappings":{"default":{"default":"Box-Zeichnungen leicht und horizontal"}}},{"category":"So","key":"252D","mappings":{"default":{"default":"Box Drawings Left Heavy und Right Down Light"}}},{"category":"So","key":"252E","mappings":{"default":{"default":"Box Drawings Right Heavy und Left Down Light"}}},{"category":"So","key":"252F","mappings":{"default":{"default":"Box Drawings Down Light und Horizontal Heavy"}}},{"category":"So","key":"2530","mappings":{"default":{"default":"Box-Zeichnungen für schweres und horizontales Licht"}}},{"category":"So","key":"2531","mappings":{"default":{"default":"Box Drawings Right Light und Left Down Heavy"}}},{"category":"So","key":"2532","mappings":{"default":{"default":"Box Drawings Left Light und Right Down Heavy"}}},{"category":"So","key":"2533","mappings":{"default":{"default":"Box-Zeichnungen nach unten und horizontal"}}},{"category":"So","key":"2534","mappings":{"default":{"default":"Box-Zeichnungen leuchten und horizontal"}}},{"category":"So","key":"2535","mappings":{"default":{"default":"Box Drawings Left Heavy und Right Up Light"}}},{"category":"So","key":"2536","mappings":{"default":{"default":"Box Drawings Right Heavy und Left Up Light"}}},{"category":"So","key":"2537","mappings":{"default":{"default":"Box Drawings Up Light und Horizontal Heavy"}}},{"category":"So","key":"2538","mappings":{"default":{"default":"Box-Zeichnungen für schweres und horizontales Licht"}}},{"category":"So","key":"2539","mappings":{"default":{"default":"Box Drawings Right Light und Left Up Heavy"}}},{"category":"So","key":"253A","mappings":{"default":{"default":"Box Drawings Left Light und Right Up Heavy"}}},{"category":"So","key":"253B","mappings":{"default":{"default":"Box-Zeichnungen schwer und horizontal"}}},{"category":"So","key":"253C","mappings":{"default":{"default":"Box Drawings Light vertikal und horizontal"}}},{"category":"So","key":"253D","mappings":{"default":{"default":"Kastenzeichnungen links schweres und rechtes vertikales Licht"}}},{"category":"So","key":"253E","mappings":{"default":{"default":"Box Drawings Right Heavy und Left Vertical Light"}}},{"category":"So","key":"253F","mappings":{"default":{"default":"Box Drawings Vertical Light und Horizontal Heavy"}}},{"category":"So","key":"2540","mappings":{"default":{"default":"Box Drawings Up Heavy und Down Horizontal Light"}}},{"category":"So","key":"2541","mappings":{"default":{"default":"Box Drawings Down Heavy und Up Horizontal Light"}}},{"category":"So","key":"2542","mappings":{"default":{"default":"Kastenzeichnungen Vertikales schweres und horizontales Licht"}}},{"category":"So","key":"2543","mappings":{"default":{"default":"Box Drawings Left Up Heavy und Right Down Light"}}},{"category":"So","key":"2544","mappings":{"default":{"default":"Box Drawings Right Up Heavy und Left Down Light"}}},{"category":"So","key":"2545","mappings":{"default":{"default":"Box Drawings Left Down Heavy und Right Up Light"}}},{"category":"So","key":"2546","mappings":{"default":{"default":"Box Drawings Right Down Heavy und Left Up Light"}}},{"category":"So","key":"2547","mappings":{"default":{"default":"Box Drawings Down Light und Up Horizontal Heavy"}}},{"category":"So","key":"2548","mappings":{"default":{"default":"Box Drawings Up Light und Down Horizontal Heavy"}}},{"category":"So","key":"2549","mappings":{"default":{"default":"Box Drawings Right Light und Left Vertical Heavy"}}},{"category":"So","key":"254A","mappings":{"default":{"default":"Box Drawings Left Light und Right Vertical Heavy"}}},{"category":"So","key":"254B","mappings":{"default":{"default":"Box Drawings Heavy vertikal und horizontal"}}},{"category":"So","key":"254C","mappings":{"default":{"default":"Box Drawings Light Double Dash Horizontal"}}},{"category":"So","key":"254D","mappings":{"default":{"default":"Box Drawings Heavy Double Dash Horizontal"}}},{"category":"So","key":"254E","mappings":{"default":{"default":"Box Drawings Light Double Dash Vertical"}}},{"category":"So","key":"254F","mappings":{"default":{"default":"Box Drawings Heavy Double Dash Vertical"}}},{"category":"So","key":"2550","mappings":{"default":{"default":"Box-Zeichnungen doppelt horizontal"}}},{"category":"So","key":"2551","mappings":{"default":{"default":"Box Drawings Double Vertical"}}},{"category":"So","key":"2552","mappings":{"default":{"default":"Box Drawings Down Single und Right Double"}}},{"category":"So","key":"2553","mappings":{"default":{"default":"Box Drawings Down Double und Right Single"}}},{"category":"So","key":"2554","mappings":{"default":{"default":"Box Drawings Double Down und Right"}}},{"category":"So","key":"2555","mappings":{"default":{"default":"Box Drawings Down Single und Left Double"}}},{"category":"So","key":"2556","mappings":{"default":{"default":"Box Drawings Down Double und Left Single"}}},{"category":"So","key":"2557","mappings":{"default":{"default":"Box Drawings Double Down und Links"}}},{"category":"So","key":"2558","mappings":{"default":{"default":"Box Drawings Up Single und Right Double"}}},{"category":"So","key":"2559","mappings":{"default":{"default":"Box Drawings Up Double und Right Single"}}},{"category":"So","key":"255A","mappings":{"default":{"default":"Box-Zeichnungen verdoppeln und rechts"}}},{"category":"So","key":"255B","mappings":{"default":{"default":"Box Drawings Up Single und Left Double"}}},{"category":"So","key":"255C","mappings":{"default":{"default":"Box Drawings Up Double und Left Single"}}},{"category":"So","key":"255D","mappings":{"default":{"default":"Box-Zeichnungen verdoppeln und links"}}},{"category":"So","key":"255E","mappings":{"default":{"default":"Box Drawings Vertical Single und Right Double"}}},{"category":"So","key":"255F","mappings":{"default":{"default":"Box Drawings Vertical Double und Right Single"}}},{"category":"So","key":"2560","mappings":{"default":{"default":"Box Drawings Double Vertical und Right"}}},{"category":"So","key":"2561","mappings":{"default":{"default":"Box Drawings Vertical Single und Left Double"}}},{"category":"So","key":"2562","mappings":{"default":{"default":"Box Drawings Vertical Double und Left Single"}}},{"category":"So","key":"2563","mappings":{"default":{"default":"Box Drawings Double Vertical und Left"}}},{"category":"So","key":"2564","mappings":{"default":{"default":"Box Drawings Down Single und Horizontal Double"}}},{"category":"So","key":"2565","mappings":{"default":{"default":"Box Drawings Down Double und Horizontal Single"}}},{"category":"So","key":"2566","mappings":{"default":{"default":"Box Drawings Double Down und Horizontal"}}},{"category":"So","key":"2567","mappings":{"default":{"default":"Box Drawings Up Single und Horizontal Double"}}},{"category":"So","key":"2568","mappings":{"default":{"default":"Box Drawings Up Double und Horizontal Single"}}},{"category":"So","key":"2569","mappings":{"default":{"default":"Box-Zeichnungen verdoppeln und horizontal"}}},{"category":"So","key":"256A","mappings":{"default":{"default":"Box Drawings Vertical Single und Horizontal Double"}}},{"category":"So","key":"256B","mappings":{"default":{"default":"Box Drawings Vertical Double und Horizontal Single"}}},{"category":"So","key":"256C","mappings":{"default":{"default":"Box-Zeichnungen doppelt vertikal und horizontal"}}},{"category":"So","key":"256D","mappings":{"default":{"default":"Box Drawings Light Arc Down und Right"}}},{"category":"So","key":"256E","mappings":{"default":{"default":"Box Drawings Light Arc Down und Links"}}},{"category":"So","key":"256F","mappings":{"default":{"default":"Box Drawings Light Arc Up und links"}}},{"category":"So","key":"2570","mappings":{"default":{"default":"Box Drawings Light Arc Up und rechts"}}},{"category":"So","key":"2571","mappings":{"default":{"default":"Box Drawings Light Diagonal Oben Rechts Nach Unten Links"}}},{"category":"So","key":"2572","mappings":{"default":{"default":"Box Drawings Light Diagonal von oben links nach rechts unten"}}},{"category":"So","key":"2573","mappings":{"default":{"default":"Box Zeichnungen Light Diagonal Cross"}}},{"category":"So","key":"2574","mappings":{"default":{"default":"Box-Zeichnungen Light Left"}}},{"category":"So","key":"2575","mappings":{"default":{"default":"Box-Zeichnungen leuchten auf"}}},{"category":"So","key":"2576","mappings":{"default":{"default":"Box-Zeichnungen Light Right"}}},{"category":"So","key":"2577","mappings":{"default":{"default":"Box Drawings Light Down"}}},{"category":"So","key":"2578","mappings":{"default":{"default":"Box Drawings Heavy Left"}}},{"category":"So","key":"2579","mappings":{"default":{"default":"Box Drawings Heavy Up"}}},{"category":"So","key":"257A","mappings":{"default":{"default":"Box Drawings Heavy Right"}}},{"category":"So","key":"257B","mappings":{"default":{"default":"Box Drawings Heavy Down"}}},{"category":"So","key":"257C","mappings":{"default":{"default":"Box Drawings Light Left und Heavy Right"}}},{"category":"So","key":"257D","mappings":{"default":{"default":"Box Drawings Light Up und Heavy Down"}}},{"category":"So","key":"257E","mappings":{"default":{"default":"Box Drawings Heavy Left und Light Right"}}},{"category":"So","key":"257F","mappings":{"default":{"default":"Box Drawings Heavy Up und Light Down"}}},{"category":"So","key":"2580","mappings":{"default":{"default":"Block der oberen Hälfte"}}},{"category":"So","key":"2581","mappings":{"default":{"default":"Unterer achter Block"}}},{"category":"So","key":"2582","mappings":{"default":{"default":"Unterer Viertelblock"}}},{"category":"So","key":"2583","mappings":{"default":{"default":"Drei Achtel-Block senken"}}},{"category":"So","key":"2584","mappings":{"default":{"default":"Block der unteren Hälfte"}}},{"category":"So","key":"2585","mappings":{"default":{"default":"Fünf Achtel Block"}}},{"category":"So","key":"2586","mappings":{"default":{"default":"Unterer Dreiviertelblock"}}},{"category":"So","key":"2587","mappings":{"default":{"default":"Unterer Sieben Achtel-Block"}}},{"category":"So","key":"2588","mappings":{"default":{"default":"Voller Block"}}},{"category":"So","key":"2589","mappings":{"default":{"default":"Linker Sieben Achtel Block"}}},{"category":"So","key":"258A","mappings":{"default":{"default":"Linker Dreiviertelblock"}}},{"category":"So","key":"258B","mappings":{"default":{"default":"Linker Block mit fünf Achteln"}}},{"category":"So","key":"258C","mappings":{"default":{"default":"Linke halbe Block"}}},{"category":"So","key":"258D","mappings":{"default":{"default":"Block drei Achtel"}}},{"category":"So","key":"258E","mappings":{"default":{"default":"Linke einen Viertelblock"}}},{"category":"So","key":"258F","mappings":{"default":{"default":"Linker achter Block"}}},{"category":"So","key":"2590","mappings":{"default":{"default":"Rechte halbe Block"}}},{"category":"So","key":"2591","mappings":{"default":{"default":"Lichtschatten"}}},{"category":"So","key":"2592","mappings":{"default":{"default":"Mittlere Schatten"}}},{"category":"So","key":"2593","mappings":{"default":{"default":"Dunkler Schatten"}}},{"category":"So","key":"2594","mappings":{"default":{"default":"Oberer achter Block"}}},{"category":"So","key":"2595","mappings":{"default":{"default":"rechter achter Block"}}},{"category":"So","key":"2596","mappings":{"default":{"default":"Quadrant unten links"}}},{"category":"So","key":"2597","mappings":{"default":{"default":"Quadrant rechts unten"}}},{"category":"So","key":"2598","mappings":{"default":{"default":"Quadrant oben links"}}},{"category":"So","key":"2599","mappings":{"default":{"default":"Quadrant oben links und unten links und rechts unten"}}},{"category":"So","key":"259A","mappings":{"default":{"default":"Quadrant oben links und rechts unten"}}},{"category":"So","key":"259B","mappings":{"default":{"default":"Quadrant oben links und oben rechts und unten links"}}},{"category":"So","key":"259C","mappings":{"default":{"default":"Quadrant oben links und oben rechts und unten rechts"}}},{"category":"So","key":"259D","mappings":{"default":{"default":"Quadrant oben rechts"}}},{"category":"So","key":"259E","mappings":{"default":{"default":"Quadrant oben rechts und unten links"}}},{"category":"So","key":"259F","mappings":{"default":{"default":"Quadrant oben rechts und unten links und unten rechts"}}},{"category":"So","key":"25A0","mappings":{"default":{"default":"Schwarzes Quadrat"}}},{"category":"So","key":"25A1","mappings":{"default":{"default":"Weißes Quadrat"}}},{"category":"So","key":"25A2","mappings":{"default":{"default":"Weißes Quadrat mit abgerundeten Ecken"}}},{"category":"So","key":"25A3","mappings":{"default":{"default":"Weißes Quadrat, das schwarzes kleines Quadrat enthält"}}},{"category":"So","key":"25A4","mappings":{"default":{"default":"Quadrat mit horizontaler Füllung"}}},{"category":"So","key":"25A5","mappings":{"default":{"default":"Quadrat mit vertikaler Füllung"}}},{"category":"So","key":"25A6","mappings":{"default":{"default":"Quadrat mit orthogonaler Schraffurfüllung"}}},{"category":"So","key":"25A7","mappings":{"default":{"default":"Quadrat mit Oben links nach rechts unten füllen"}}},{"category":"So","key":"25A8","mappings":{"default":{"default":"Quadrat mit oberer rechter bis unterer linker Füllung"}}},{"category":"So","key":"25A9","mappings":{"default":{"default":"Quadrat mit diagonaler Schraffurfüllung"}}},{"category":"So","key":"25AA","mappings":{"default":{"default":"Schwarzes kleines Quadrat"}}},{"category":"So","key":"25AB","mappings":{"default":{"default":"Weißes kleines Quadrat"}}},{"category":"So","key":"25AC","mappings":{"default":{"default":"Schwarzes Rechteck"}}},{"category":"So","key":"25AD","mappings":{"default":{"default":"Weißes Rechteck"}}},{"category":"So","key":"25AE","mappings":{"default":{"default":"Schwarzes vertikales Rechteck"}}},{"category":"So","key":"25AF","mappings":{"default":{"default":"Weißes vertikales Rechteck"}}},{"category":"So","key":"25B0","mappings":{"default":{"default":"Schwarzes Parallelogramm"}}},{"category":"So","key":"25B1","mappings":{"default":{"default":"Weißes Parallelogramm"}}},{"category":"So","key":"25B2","mappings":{"default":{"default":"Schwarzes nach oben zeigendes Dreieck"}}},{"category":"So","key":"25B3","mappings":{"default":{"default":"Weißes nach oben zeigendes Dreieck"}}},{"category":"So","key":"25B4","mappings":{"default":{"default":"Schwarzes nach oben zeigendes kleines Dreieck"}}},{"category":"So","key":"25B5","mappings":{"default":{"default":"Weißes nach oben zeigendes kleines Dreieck"}}},{"category":"So","key":"25B6","mappings":{"default":{"default":"Schwarzes rechtwinkliges Dreieck"}}},{"category":"Sm","key":"25B7","mappings":{"default":{"default":"Weißes rechtwinkliges Dreieck"}}},{"category":"So","key":"25B8","mappings":{"default":{"default":"Schwarzes nach rechts zeigendes kleines Dreieck"}}},{"category":"So","key":"25B9","mappings":{"default":{"default":"Weißes nach rechts zeigendes kleines Dreieck"}}},{"category":"So","key":"25BA","mappings":{"default":{"default":"Schwarzer nach rechts zeigender Zeiger"}}},{"category":"So","key":"25BB","mappings":{"default":{"default":"Weißer nach rechts zeigender Zeiger"}}},{"category":"So","key":"25BC","mappings":{"default":{"default":"Schwarzes Abwärtsdreieck"}}},{"category":"So","key":"25BD","mappings":{"default":{"default":"Weißes nach unten zeigendes Dreieck"}}},{"category":"So","key":"25BE","mappings":{"default":{"default":"Schwarzes, nach unten zeigendes kleines Dreieck"}}},{"category":"So","key":"25BF","mappings":{"default":{"default":"Weißes kleines Dreieck"}}},{"category":"So","key":"25C0","mappings":{"default":{"default":"Schwarzes nach links zeigendes Dreieck"}}},{"category":"Sm","key":"25C1","mappings":{"default":{"default":"Weißes nach links zeigendes Dreieck"}}},{"category":"So","key":"25C2","mappings":{"default":{"default":"Schwarzes nach links zeigendes kleines Dreieck"}}},{"category":"So","key":"25C3","mappings":{"default":{"default":"Weißes nach links zeigendes kleines Dreieck"}}},{"category":"So","key":"25C4","mappings":{"default":{"default":"Schwarzer nach links zeigender Zeiger"}}},{"category":"So","key":"25C5","mappings":{"default":{"default":"Weißer nach links zeigender Zeiger"}}},{"category":"So","key":"25C6","mappings":{"default":{"default":"Schwarzer Diamant"}}},{"category":"So","key":"25C7","mappings":{"default":{"default":"Weißer Diamant"}}},{"category":"So","key":"25C8","mappings":{"default":{"default":"Weißer Diamant mit schwarzem kleinem Diamant"}}},{"category":"So","key":"25C9","mappings":{"default":{"default":"Fischauge"}}},{"category":"So","key":"25CA","mappings":{"default":{"default":"Raute"}}},{"category":"So","key":"25CB","mappings":{"default":{"default":"Weißer Kreis"}}},{"category":"So","key":"25CC","mappings":{"default":{"default":"Gepunkteter Kreis"}}},{"category":"So","key":"25CD","mappings":{"default":{"default":"Kreis mit vertikaler Füllung"}}},{"category":"So","key":"25CE","mappings":{"default":{"default":"Bullseye"}}},{"category":"So","key":"25CF","mappings":{"default":{"default":"Schwarzer Kreis"}}},{"category":"So","key":"25D0","mappings":{"default":{"default":"Kreis mit linker Hälfte schwarz"}}},{"category":"So","key":"25D1","mappings":{"default":{"default":"Kreis mit rechter Hälfte schwarz"}}},{"category":"So","key":"25D2","mappings":{"default":{"default":"Kreis mit unterer Hälfte Schwarz"}}},{"category":"So","key":"25D3","mappings":{"default":{"default":"Kreis mit oberer Hälfte schwarz"}}},{"category":"So","key":"25D4","mappings":{"default":{"default":"Kreis mit oberem rechten Quadranten schwarz"}}},{"category":"So","key":"25D5","mappings":{"default":{"default":"Kreis mit ganzem oberen linken Quadranten schwarz"}}},{"category":"So","key":"25D6","mappings":{"default":{"default":"Linker halber schwarzer Kreis"}}},{"category":"So","key":"25D7","mappings":{"default":{"default":"rechter halber schwarzer Kreis"}}},{"category":"So","key":"25D8","mappings":{"default":{"default":"Inverse Kugel"}}},{"category":"So","key":"25D9","mappings":{"default":{"default":"Inverse weißer Kreis"}}},{"category":"So","key":"25DA","mappings":{"default":{"default":"Umgekehrter weißer Kreis der oberen Hälfte"}}},{"category":"So","key":"25DB","mappings":{"default":{"default":"Inverser weißer Kreis der unteren Hälfte"}}},{"category":"So","key":"25DC","mappings":{"default":{"default":"Kreisbogen des oberen linken Quadranten"}}},{"category":"So","key":"25DD","mappings":{"default":{"default":"Kreisbogen im oberen rechten Quadranten"}}},{"category":"So","key":"25DE","mappings":{"default":{"default":"Kreisbogen des rechten unteren Quadranten"}}},{"category":"So","key":"25DF","mappings":{"default":{"default":"Kreisbogen des unteren linken Quadranten"}}},{"category":"So","key":"25E0","mappings":{"default":{"default":"Oberer Halbkreis"}}},{"category":"So","key":"25E1","mappings":{"default":{"default":"Unterer Halbkreis"}}},{"category":"So","key":"25E2","mappings":{"default":{"default":"Schwarzes rechtes Dreieck"}}},{"category":"So","key":"25E3","mappings":{"default":{"default":"Schwarzes unteres linkes Dreieck"}}},{"category":"So","key":"25E4","mappings":{"default":{"default":"Schwarzes oberes linkes Dreieck"}}},{"category":"So","key":"25E5","mappings":{"default":{"default":"Schwarzes rechtes Dreieck"}}},{"category":"So","key":"25E6","mappings":{"default":{"default":"Weiße Kugel"}}},{"category":"So","key":"25E7","mappings":{"default":{"default":"Quadrat mit linker Hälfte schwarz"}}},{"category":"So","key":"25E8","mappings":{"default":{"default":"Quadrat mit rechter Hälfte schwarz"}}},{"category":"So","key":"25E9","mappings":{"default":{"default":"Quadrat mit der oberen linken Diagonalenhälfte schwarz"}}},{"category":"So","key":"25EA","mappings":{"default":{"default":"Quadrat mit unterer rechter diagonaler Hälfte schwarz"}}},{"category":"So","key":"25EB","mappings":{"default":{"default":"Weißes Quadrat mit senkrechter Linie"}}},{"category":"So","key":"25EC","mappings":{"default":{"default":"Weißes nach oben zeigendes Dreieck mit Punkt"}}},{"category":"So","key":"25ED","mappings":{"default":{"default":"Aufwärtszeigendes Dreieck mit linker Hälfte schwarz"}}},{"category":"So","key":"25EE","mappings":{"default":{"default":"Aufwärtszeigendes Dreieck mit rechter Hälfte schwarz"}}},{"category":"So","key":"25EF","mappings":{"default":{"default":"Großer Kreis"}}},{"category":"So","key":"25F0","mappings":{"default":{"default":"Weißes Quadrat mit oberem linken Quadranten"}}},{"category":"So","key":"25F1","mappings":{"default":{"default":"Weißes Quadrat mit unterem linken Quadranten"}}},{"category":"So","key":"25F2","mappings":{"default":{"default":"Weißes Quadrat mit unterem rechten Quadranten"}}},{"category":"So","key":"25F3","mappings":{"default":{"default":"Weißes Quadrat mit rechtem oberen Quadranten"}}},{"category":"So","key":"25F4","mappings":{"default":{"default":"Weißer Kreis mit oberem linkem Quadranten"}}},{"category":"So","key":"25F5","mappings":{"default":{"default":"Weißer Kreis mit unterem linken Quadranten"}}},{"category":"So","key":"25F6","mappings":{"default":{"default":"Weißer Kreis mit unterem rechten Quadranten"}}},{"category":"So","key":"25F7","mappings":{"default":{"default":"Weißer Kreis mit rechtem oberen Quadranten"}}},{"category":"Sm","key":"25F8","mappings":{"default":{"default":"Oberes linkes Dreieck"}}},{"category":"Sm","key":"25F9","mappings":{"default":{"default":"Oberes rechtes Dreieck"}}},{"category":"Sm","key":"25FA","mappings":{"default":{"default":"Unteres linkes Dreieck"}}},{"category":"Sm","key":"25FB","mappings":{"default":{"default":"Weißes mittleres Quadrat"}}},{"category":"Sm","key":"25FC","mappings":{"default":{"default":"Schwarzes mittleres Quadrat"}}},{"category":"Sm","key":"25FD","mappings":{"default":{"default":"Weißes mittleres kleines Quadrat"}}},{"category":"Sm","key":"25FE","mappings":{"default":{"default":"Schwarzes mittleres kleines Quadrat"}}},{"category":"Sm","key":"25FF","mappings":{"default":{"default":"Unteres rechtes Dreieck"}}},{"category":"So","key":"2B12","mappings":{"default":{"default":"Quadrat mit oberer Hälfte schwarz"}}},{"category":"So","key":"2B13","mappings":{"default":{"default":"Quadrat mit unterer Hälfte schwarz"}}},{"category":"So","key":"2B14","mappings":{"default":{"default":"Quadrat mit oberer rechter diagonaler Hälfte schwarz"}}},{"category":"So","key":"2B15","mappings":{"default":{"default":"Quadrat mit unterer linker diagonaler Hälfte schwarz"}}},{"category":"So","key":"2B16","mappings":{"default":{"default":"Diamant mit linker Hälfte schwarz"}}},{"category":"So","key":"2B17","mappings":{"default":{"default":"Diamant mit rechter Hälfte schwarz"}}},{"category":"So","key":"2B18","mappings":{"default":{"default":"Diamant mit oberer Hälfte schwarz"}}},{"category":"So","key":"2B19","mappings":{"default":{"default":"Diamant mit unterer Hälfte schwarz"}}},{"category":"So","key":"2B1A","mappings":{"default":{"default":"Gepunktetes Quadrat"}}},{"category":"So","key":"2B1B","mappings":{"default":{"default":"Schwarzes großes Quadrat"}}},{"category":"So","key":"2B1C","mappings":{"default":{"default":"Weißes großes Quadrat"}}},{"category":"So","key":"2B1D","mappings":{"default":{"default":"Schwarzes sehr kleines Quadrat"}}},{"category":"So","key":"2B1E","mappings":{"default":{"default":"Weißes sehr kleines Quadrat"}}},{"category":"So","key":"2B1F","mappings":{"default":{"default":"Schwarzes Pentagon"}}},{"category":"So","key":"2B20","mappings":{"default":{"default":"Weißes Pentagon"}}},{"category":"So","key":"2B21","mappings":{"default":{"default":"Weißes Sechseck"}}},{"category":"So","key":"2B22","mappings":{"default":{"default":"Schwarzes Sechseck"}}},{"category":"So","key":"2B23","mappings":{"default":{"default":"Horizontales schwarzes Sechseck"}}},{"category":"So","key":"2B24","mappings":{"default":{"default":"Schwarzer großer Kreis"}}},{"category":"So","key":"2B25","mappings":{"default":{"default":"Schwarzer mittlerer Diamant"}}},{"category":"So","key":"2B26","mappings":{"default":{"default":"Weißer mittlerer Diamant"}}},{"category":"So","key":"2B27","mappings":{"default":{"default":"Schwarze mittlere Raute"}}},{"category":"So","key":"2B28","mappings":{"default":{"default":"Weiße mittlere Raute"}}},{"category":"So","key":"2B29","mappings":{"default":{"default":"Schwarzer kleiner Diamant"}}},{"category":"So","key":"2B2A","mappings":{"default":{"default":"Schwarze kleine Raute"}}},{"category":"So","key":"2B2B","mappings":{"default":{"default":"Weiße kleine Raute"}}},{"category":"So","key":"2B2C","mappings":{"default":{"default":"Schwarze horizontale Ellipse"}}},{"category":"So","key":"2B2D","mappings":{"default":{"default":"Weiße horizontale Ellipse"}}},{"category":"So","key":"2B2E","mappings":{"default":{"default":"Schwarze vertikale Ellipse"}}},{"category":"So","key":"2B2F","mappings":{"default":{"default":"Weiße vertikale Ellipse"}}},{"category":"So","key":"2B50","mappings":{"default":{"default":"Weißer mittlerer Stern"}}},{"category":"So","key":"2B51","mappings":{"default":{"default":"Schwarzer kleiner Stern"}}},{"category":"So","key":"2B52","mappings":{"default":{"default":"Weißer kleiner Stern"}}},{"category":"So","key":"2B53","mappings":{"default":{"default":"Schwarzes nach rechts zeigendes Pentagon"}}},{"category":"So","key":"2B54","mappings":{"default":{"default":"Weißes nach rechts zeigendes Pentagon"}}},{"category":"So","key":"2B55","mappings":{"default":{"default":"Schwerer großer Kreis"}}},{"category":"So","key":"2B56","mappings":{"default":{"default":"Schweres Oval mit innenliegendem Oval"}}},{"category":"So","key":"2B57","mappings":{"default":{"default":"Schwerer Kreis mit Kreis nach innen"}}},{"category":"So","key":"2B58","mappings":{"default":{"default":"Schwerer Kreis"}}},{"category":"So","key":"2B59","mappings":{"default":{"default":"Schwerer eingekreister Saltire"}}}]
+,
+"de/symbols/math_harpoons.js": 
+[{"locale":"de"},{"category":"So","key":"21BC","mappings":{"default":{"default":"Linke Harpune mit Barb nach oben"}}},{"category":"So","key":"21BD","mappings":{"default":{"default":"Harpune nach links mit Barb nach unten"}}},{"category":"So","key":"21BE","mappings":{"default":{"default":"Harpune nach oben mit Barb nach rechts"}}},{"category":"So","key":"21BF","mappings":{"default":{"default":"Harpune nach oben mit Barb nach links"}}},{"category":"So","key":"21C0","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach oben"}}},{"category":"So","key":"21C1","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach unten"}}},{"category":"So","key":"21C2","mappings":{"default":{"default":"Harpune nach unten mit Barb nach rechts"}}},{"category":"So","key":"21C3","mappings":{"default":{"default":"Harpune nach unten mit Barb nach links"}}},{"category":"So","key":"21CB","mappings":{"default":{"default":"Harpune nach links über Harpune nach rechts"}}},{"category":"So","key":"21CC","mappings":{"default":{"default":"Harpune nach rechts über Harpune nach links"}}},{"category":"Sm","key":"294A","mappings":{"default":{"default":"Linke Barb Up Rechte Barb Down Harpoon"}}},{"category":"Sm","key":"294B","mappings":{"default":{"default":"Linke Barb Down Rechte Barb Up Harpoon"}}},{"category":"Sm","key":"294C","mappings":{"default":{"default":"Nach oben Barb Rechts Nach links Barb Harpoon"}}},{"category":"Sm","key":"294D","mappings":{"default":{"default":"Up Barb Left Abwärts Barb Right Harpoon"}}},{"category":"Sm","key":"294E","mappings":{"default":{"default":"Linke Barb Up Rechte Barb Up Harpoon"}}},{"category":"Sm","key":"294F","mappings":{"default":{"default":"Barb nach rechts Barb nach rechts Harpoon"}}},{"category":"Sm","key":"2950","mappings":{"default":{"default":"Linke Barb Down Rechte Barb Down Harpoon"}}},{"category":"Sm","key":"2951","mappings":{"default":{"default":"Up Barb Left Abwärts Barb Left Harpoon"}}},{"category":"Sm","key":"2952","mappings":{"default":{"default":"Linke Harpune mit Barb Up To Bar"}}},{"category":"Sm","key":"2953","mappings":{"default":{"default":"Harpune nach rechts mit Barb bis zur Bar"}}},{"category":"Sm","key":"2954","mappings":{"default":{"default":"Harpune nach oben mit Widerhaken rechts"}}},{"category":"Sm","key":"2955","mappings":{"default":{"default":"Harpune nach unten mit Barb Right to Bar"}}},{"category":"Sm","key":"2956","mappings":{"default":{"default":"Linke Harpune mit Widerhaken nach unten"}}},{"category":"Sm","key":"2957","mappings":{"default":{"default":"Harpune nach rechts mit Widerhaken nach unten"}}},{"category":"Sm","key":"2958","mappings":{"default":{"default":"Harpune nach oben mit Barb nach links"}}},{"category":"Sm","key":"2959","mappings":{"default":{"default":"Harpune nach unten mit Barb nach links"}}},{"category":"Sm","key":"295A","mappings":{"default":{"default":"Linke Harpune mit Barb Up von der Bar"}}},{"category":"Sm","key":"295B","mappings":{"default":{"default":"Harpune nach rechts mit Barb Up von der Bar"}}},{"category":"Sm","key":"295C","mappings":{"default":{"default":"Harpune nach oben mit Barb rechts von der Bar"}}},{"category":"Sm","key":"295D","mappings":{"default":{"default":"Harpune nach unten mit Barb rechts von der Bar"}}},{"category":"Sm","key":"295E","mappings":{"default":{"default":"Linke Harpune mit Barb Down von der Bar"}}},{"category":"Sm","key":"295F","mappings":{"default":{"default":"Rechts Harpoon mit Barb Down von der Bar"}}},{"category":"Sm","key":"2960","mappings":{"default":{"default":"Harpune nach oben mit Barb links von der Bar"}}},{"category":"Sm","key":"2961","mappings":{"default":{"default":"Harpune nach unten mit Barb links von der Bar"}}},{"category":"Sm","key":"2962","mappings":{"default":{"default":"Harpune nach links mit Barb nach oben Harpune nach links mit Barb nach unten"}}},{"category":"Sm","key":"2963","mappings":{"default":{"default":"Harpune nach oben mit Barb links neben Harpune nach oben mit Barb rechts"}}},{"category":"Sm","key":"2964","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach oben Harpoon nach rechts mit Barb nach unten"}}},{"category":"Sm","key":"2965","mappings":{"default":{"default":"Harpune nach unten mit Barb nach unten Harpune nach unten mit Barb nach rechts"}}},{"category":"Sm","key":"2966","mappings":{"default":{"default":"Linke Harpune mit Barb Up Oben Rechts Harpoon mit Barb Up"}}},{"category":"Sm","key":"2967","mappings":{"default":{"default":"Linke Harpune mit Widerhaken nach unten Rechts Harpune mit Widerhaken nach unten"}}},{"category":"Sm","key":"2968","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach oben Harpune nach links mit Barb nach oben"}}},{"category":"Sm","key":"2969","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach unten Harpune nach links mit Barb nach unten"}}},{"category":"Sm","key":"296A","mappings":{"default":{"default":"Linke Harpune mit Barb Up Above Long Dash"}}},{"category":"Sm","key":"296B","mappings":{"default":{"default":"Linke Harpune mit Barb Down Under Long Dash"}}},{"category":"Sm","key":"296C","mappings":{"default":{"default":"Harpune nach rechts mit Barb Up Long Long Dash"}}},{"category":"Sm","key":"296D","mappings":{"default":{"default":"Harpune nach rechts mit Widerhaken nach unten"}}},{"category":"Sm","key":"296E","mappings":{"default":{"default":"Harpune nach oben mit Barb links neben Harpune nach unten mit Barb rechts"}}},{"category":"Sm","key":"296F","mappings":{"default":{"default":"Harpune nach unten mit Barb links neben Harpune nach oben mit Barb rechts"}}},{"category":"Sm","key":"297C","mappings":{"default":{"default":"linker Fischschwanz"}}},{"category":"Sm","key":"297D","mappings":{"default":{"default":"rechter Fischschwanz"}}},{"category":"Sm","key":"297E","mappings":{"default":{"default":"Fischschwanz"}}},{"category":"Sm","key":"297F","mappings":{"default":{"default":"Fischschwanz"}}}]
+,
+"de/symbols/math_non_characters.js": 
+[{"locale":"de"},{"category":"Ll","key":"210F","mappings":{"default":{"default":"Planck-Konstante über zwei Pi"}}},{"category":"So","key":"2114","mappings":{"default":{"default":"L B Balkensymbol"}}},{"category":"So","key":"2116","mappings":{"default":{"default":"Numero-Zeichen"}}},{"category":"So","key":"2117","mappings":{"default":{"default":"Tonaufnahme Copyright"}}},{"category":"So","key":"211E","mappings":{"default":{"default":"Rezept nehmen"}}},{"category":"So","key":"211F","mappings":{"default":{"default":"Antwort"}}},{"category":"So","key":"2120","mappings":{"default":{"default":"Dienstleistungsmarke"}}},{"category":"So","key":"2121","mappings":{"default":{"default":"Telefon Zeichen"}}},{"category":"So","key":"2122","mappings":{"default":{"default":"Markenzeichen"}}},{"category":"So","key":"2123","mappings":{"default":{"default":"Versicle"}}},{"category":"So","key":"2125","mappings":{"default":{"default":"Unze-Zeichen"}}},{"category":"Lu","key":"2126","mappings":{"default":{"default":"Ohm-Zeichen"}}},{"category":"So","key":"2127","mappings":{"default":{"default":"Umgekehrtes Ohm-Zeichen"}}},{"category":"Lu","key":"212A","mappings":{"default":{"default":"Kelvin-Zeichen"}}},{"category":"Lu","key":"212B","mappings":{"default":{"default":"Angstrom-Zeichen"}}},{"category":"So","key":"212E","mappings":{"default":{"default":"Geschätztes Symbol"}}},{"category":"Lu","key":"2132","mappings":{"default":{"default":"Umgeschlagenes Kapital F"}}},{"category":"Ll","key":"2139","mappings":{"default":{"default":"Informationsquelle"}}},{"category":"So","key":"213A","mappings":{"default":{"default":"Gedrehtes Kapital Q"}}},{"category":"So","key":"213B","mappings":{"default":{"default":"Faksimile-Zeichen"}}},{"category":"Sm","key":"2141","mappings":{"default":{"default":"Sans-Serif Capital G"}}},{"category":"Sm","key":"2142","mappings":{"default":{"default":"Sans-Serif Capital L"}}},{"category":"Sm","key":"2143","mappings":{"default":{"default":"Aufgehobenes Sans-Serif-Kapital L"}}},{"category":"Sm","key":"2144","mappings":{"default":{"default":"Sans-Serif Capital Y"}}}]
+,
+"de/symbols/math_symbols.js": 
+[{"locale":"de"},{"key":"0021","mappings":{"default":{"default":"Fakultät"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"Anführungszeichen"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"Nummernzeichen"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"Dollar"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"Prozent"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"und"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"Hochkomma"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"times"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"plus"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"Komma"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"minus"}},"category":"Pd"},{"category":"Po","key":"002E","mappings":{"default":{"default":"Punkt"}}},{"key":"002F","mappings":{"default":{"default":"Schrägstrich"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"Doppelpunkt"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"Strichpunkt"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"kleiner als"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"ist gleich"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"größer als"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"Fragezeichen"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"Klammeraffe"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"Umgekehrter Schrägstrich"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circumflex"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"Unterstrich"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"Gravis Akzent"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"senkrechter Strich"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"Umgekehrtes Ausrufezeichen"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"Cent"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"Pfund"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"währungszeichen"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"gebrochene Linie"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"Abschnitt"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"diaeresis"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"Copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"weibliches Ordnungszeichen"}},"category":"Lo"},{"category":"Pi","key":"00AB","mappings":{"default":{"default":"Nach links zeigendes doppeltes spitzes Anführungszeichen"}}},{"key":"00AC","mappings":{"default":{"default":"nicht"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"registered sign"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"Überstrich","alternative":"Makron"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"Grad"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"plus minus"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"acute accent"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"micro sign"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"Paragraf"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"mal","alternative":"Punkt mittig"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"Cedille"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"Männliches Ordnungszeichen"}},"category":"Lo"},{"category":"Pf","key":"00BB","mappings":{"default":{"default":"Nach rechts zeigendes doppeltes spitzes Anführungszeichen"}}},{"key":"00BF","mappings":{"default":{"default":"umgekehrtes Fragezeichen"}},"category":"Po"},{"category":"Sm","key":"00D7","mappings":{"default":{"default":"mal"}}},{"category":"Sm","key":"00F7","mappings":{"default":{"default":"geteilt durch"}}},{"key":"02D8","mappings":{"default":{"default":"Breve"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"Überpunkt"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"Überring"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"Ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"Tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"Doppleakutakzent"}},"category":"Sk"},{"category":"Pd","key":"2010","mappings":{"default":{"default":"Bindestrich"}}},{"category":"Pd","key":"2011","mappings":{"default":{"default":"Nicht brechender Bindestrich"}}},{"category":"Pd","key":"2012","mappings":{"default":{"default":"Abbildung Bindestrich"}}},{"category":"Pd","key":"2013","mappings":{"default":{"default":"En Dash"}}},{"category":"Pd","key":"2014","mappings":{"default":{"default":"EM Dash"}}},{"category":"Pd","key":"2015","mappings":{"default":{"default":"Horizontale Linie"}}},{"category":"Po","key":"2016","mappings":{"default":{"default":"Doppelte vertikale Linie"}}},{"category":"Po","key":"2017","mappings":{"default":{"default":"Doppelter Unterstrich"}}},{"category":"Pi","key":"2018","mappings":{"default":{"default":"Linkes einfaches Anführungszeichen"}}},{"category":"Pf","key":"2019","mappings":{"default":{"default":"Rechtes einfaches Anführungszeichen"}}},{"category":"Ps","key":"201A","mappings":{"default":{"default":"Einzelnes rechtes Anführungszeichen"}}},{"category":"Pi","key":"201B","mappings":{"default":{"default":"Einzelnes linkes Anführungszeichen"}}},{"category":"Pi","key":"201C","mappings":{"default":{"default":"Linkes doppeltes Anführungszeichen"}}},{"category":"Pf","key":"201D","mappings":{"default":{"default":"Rechtes doppeltes Anführungszeichen"}}},{"category":"Ps","key":"201E","mappings":{"default":{"default":"Doppeltes rechtes Anführungszeichen"}}},{"category":"Pi","key":"201F","mappings":{"default":{"default":"Doppeltes linkes Anführungszeichen"}}},{"category":"Po","key":"2020","mappings":{"default":{"default":"Dolch"}}},{"category":"Po","key":"2021","mappings":{"default":{"default":"Doppelter Dolch"}}},{"category":"Po","key":"2022","mappings":{"default":{"default":"Kugel"}}},{"category":"Po","key":"2023","mappings":{"default":{"default":"Dreieckige Kugel"}}},{"category":"Po","key":"2024","mappings":{"default":{"default":"Einzelpunkt"}}},{"category":"Po","key":"2025","mappings":{"default":{"default":"zwei Punkte"}}},{"category":"Po","key":"2026","mappings":{"default":{"default":"horizontale Ellipsis"}}},{"category":"Po","key":"2027","mappings":{"default":{"default":"Trennungspunkt"}}},{"category":"Po","key":"2030","mappings":{"default":{"default":"promille"}}},{"category":"Po","key":"2031","mappings":{"default":{"default":"pro Zehntausend"}}},{"key":"2032","mappings":{"default":{"default":"Strich"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"zwei Strich"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"drei Strich"}},"category":"Po"},{"category":"Po","key":"2035","mappings":{"default":{"default":"strich invertiert"}}},{"category":"Po","key":"2036","mappings":{"default":{"default":"zwei Strich invertiert"}}},{"category":"Po","key":"2037","mappings":{"default":{"default":"drei Strich invertiert"}}},{"category":"Po","key":"2038","mappings":{"default":{"default":"Caret"}}},{"category":"Pi","key":"2039","mappings":{"default":{"default":"Einfacher nach links zeigender Winkel Anführungszeichen"}}},{"category":"Pf","key":"203A","mappings":{"default":{"default":"Einzelne Nach-rechts-Winkel-Anführungszeichen"}}},{"category":"Po","key":"203B","mappings":{"default":{"default":"Referenzmarke"}}},{"category":"Po","key":"203C","mappings":{"default":{"default":"Doppelausrufezeichen"}}},{"category":"Po","key":"203D","mappings":{"default":{"default":"Interrobang"}}},{"category":"Po","key":"203E","mappings":{"default":{"default":"Überschrift"}}},{"category":"Pc","key":"203F","mappings":{"default":{"default":"Undertie"}}},{"category":"Pc","key":"2040","mappings":{"default":{"default":"Zeichen Krawatte"}}},{"category":"Po","key":"2041","mappings":{"default":{"default":"Caret-Einfügungspunkt"}}},{"category":"Po","key":"2042","mappings":{"default":{"default":"Asterism"}}},{"category":"Po","key":"2043","mappings":{"default":{"default":"Bindestrich Kugel"}}},{"category":"Sm","key":"2044","mappings":{"default":{"default":"Fraktions-Schrägstrich"}}},{"category":"Po","key":"2047","mappings":{"default":{"default":"Doppel-Fragezeichen"}}},{"category":"Po","key":"2048","mappings":{"default":{"default":"Fragezeichen für Ausrufezeichen"}}},{"category":"Po","key":"2049","mappings":{"default":{"default":"Ausrufezeichen"}}},{"category":"Po","key":"204B","mappings":{"default":{"default":"Umgekehrtes Pilcrow-Zeichen"}}},{"category":"Po","key":"204C","mappings":{"default":{"default":"Schwarze Kugel nach links"}}},{"category":"Po","key":"204D","mappings":{"default":{"default":"Schwarze Kugel nach rechts"}}},{"category":"Po","key":"204E","mappings":{"default":{"default":"Niedriges Sternchen"}}},{"category":"Po","key":"204F","mappings":{"default":{"default":"Umgekehrtes Semikolon"}}},{"category":"Po","key":"2050","mappings":{"default":{"default":"Nahansicht"}}},{"category":"Po","key":"2051","mappings":{"default":{"default":"Zwei Sternchen vertikal ausgerichtet"}}},{"category":"Sm","key":"2052","mappings":{"default":{"default":"Kommerzielles Minuszeichen"}}},{"category":"Po","key":"2053","mappings":{"default":{"default":"Swing Dash"}}},{"category":"Pc","key":"2054","mappings":{"default":{"default":"Inverted Undertie"}}},{"category":"Po","key":"2055","mappings":{"default":{"default":"Blume Interpunktionszeichen"}}},{"category":"Po","key":"2056","mappings":{"default":{"default":"Drei Punkt-Interpunktion"}}},{"key":"2057","mappings":{"default":{"default":"quadruple prime"}},"category":"Po"},{"category":"Po","key":"2058","mappings":{"default":{"default":"Vierpunkt-Interpunktion"}}},{"category":"Po","key":"2059","mappings":{"default":{"default":"Fünf Punkt-Interpunktion"}}},{"category":"Po","key":"205A","mappings":{"default":{"default":"Zwei Punkt-Interpunktion"}}},{"category":"Po","key":"205B","mappings":{"default":{"default":"Vier-Punkt-Markierung"}}},{"category":"Po","key":"205C","mappings":{"default":{"default":"Gepunktetes Kreuz"}}},{"category":"Po","key":"205D","mappings":{"default":{"default":"Tricolon"}}},{"category":"Po","key":"205E","mappings":{"default":{"default":"Vertikale vier Punkte"}}},{"category":"Sm","key":"207A","mappings":{"default":{"default":"Hochgestelltes Pluszeichen"}}},{"category":"Sm","key":"207B","mappings":{"default":{"default":"Hochgestelltes Minus"}}},{"category":"Sm","key":"207C","mappings":{"default":{"default":"Hochgestelltes Gleichheitszeichen"}}},{"category":"Ps","key":"207D","mappings":{"default":{"default":"Hochgestellte linke Klammer"}}},{"category":"Pe","key":"207E","mappings":{"default":{"default":"Hochgestellte rechte Klammer"}}},{"category":"Sm","key":"208A","mappings":{"default":{"default":"Index Pluszeichen"}}},{"category":"Sm","key":"208B","mappings":{"default":{"default":"Tiefgestelltes Minus"}}},{"category":"Sm","key":"208C","mappings":{"default":{"default":"Tiefgestelltes Gleichheitszeichen"}}},{"category":"Ps","key":"208D","mappings":{"default":{"default":"Tiefgestellte linke Klammer"}}},{"category":"Pe","key":"208E","mappings":{"default":{"default":"Tiefgestellte rechte Klammer"}}},{"category":"So","key":"214A","mappings":{"default":{"default":"Grundstücksgrenze"}}},{"category":"Sm","key":"214B","mappings":{"default":{"default":"Ampersand gedreht"}}},{"category":"So","key":"214C","mappings":{"default":{"default":"Pro Zeichen"}}},{"category":"So","key":"214D","mappings":{"default":{"default":"Aktieselskab"}}},{"category":"Ll","key":"214E","mappings":{"default":{"default":"Gedreht klein F"}}},{"key":"2200","mappings":{"default":{"default":"für alle"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"Komplement"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"es gibt"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"es gibt nicht"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"leere Menge"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"Differenz"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"Element von"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"nicht Element von"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"Element von"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"hat als Element"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"hat nicht als Element"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"hat als Element"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"Ende Beweis"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"Produkt"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"Koprodukt"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"Summe"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"minus"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"minus plus"}},"category":"Sm"},{"category":"Sm","key":"2214","mappings":{"default":{"default":"Plus mit Punkt"}}},{"key":"2215","mappings":{"default":{"default":"Division"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"Mengendifferenz"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"Sternoperator"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"verknüpft mit"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"Kreisoperator"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"Quadratwurzelzeichen"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"Kubikwurzelzeichen"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"vierte Wurzel"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proportional zu"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"unendlich"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"rechter Winkel"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"Winkel"}},"category":"Sm"},{"category":"Sm","key":"2221","mappings":{"default":{"default":"gerichteter Winkel"}}},{"category":"Sm","key":"2222","mappings":{"default":{"default":"Raumwinkel"}}},{"key":"2223","mappings":{"default":{"default":"teilt"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"teilt nicht"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"parallel zu"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"nicht parallel zu"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"und"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"oder"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"Durchschnitt"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"Vereinigung"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"Integral"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"Doppelintegral"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"Dreifachintegral"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"Randintegral"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"Oberflächenintegral"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"Volumenintegral"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"Integral im Uhrzeigersinn"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"Kurvenintegral im Uhrzeigersinn"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"Kurvenintegral im Gegenuhrzeigersinn"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"folglich"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"weil"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"Verhältnis"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"Proportion"}},"category":"Sm"},{"category":"Sm","key":"2238","mappings":{"default":{"default":"Minus mit Punkt"}}},{"category":"Sm","key":"2239","mappings":{"default":{"default":"Überschuss"}}},{"key":"223A","mappings":{"default":{"default":"geometrische Proportion"}},"category":"Sm"},{"category":"Sm","key":"223B","mappings":{"default":{"default":"homothetisch"}}},{"category":"Sm","key":"223C","mappings":{"default":{"default":"Tildeoperator"}}},{"category":"Sm","key":"223D","mappings":{"default":{"default":"Umgekehrte Tilde"}}},{"category":"Sm","key":"223E","mappings":{"default":{"default":"Umgekehrtes stummes S"}}},{"category":"Sm","key":"223F","mappings":{"default":{"default":"Sinuswelle"}}},{"category":"Sm","key":"2240","mappings":{"default":{"default":"Kranzprodukt"}}},{"category":"Sm","key":"2241","mappings":{"default":{"default":"durchgestrichene Tilde"}}},{"category":"Sm","key":"2242","mappings":{"default":{"default":"Minus über Tilde"}}},{"key":"2243","mappings":{"default":{"default":"asymptotisch gleich"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"nicht asymptotisch gleich"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"ungefähr gleich"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"ungefähr, aber nicht ganz gleich"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"weder ungefähr noch ganz gleich"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"beinahe gleich"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"nicht beinahe gleich"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"beinahe gleich oder gleich"}},"category":"Sm"},{"category":"Sm","key":"224B","mappings":{"default":{"default":"dreifache Tilde"}}},{"category":"Sm","key":"224C","mappings":{"default":{"default":"alles gleich"}}},{"key":"224D","mappings":{"default":{"default":"äquivalent zu"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"geometrisch äquivalent zu"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"Differenz zwischen"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"nähert sich der Grenze"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"geometrisch gleich"}},"category":"Sm"},{"category":"Sm","key":"2252","mappings":{"default":{"default":"Ungefähr gleich oder das Bild von"}}},{"category":"Sm","key":"2253","mappings":{"default":{"default":"Bild von oder ungefähr gleich"}}},{"key":"2254","mappings":{"default":{"default":"definiert als"}},"category":"Sm"},{"category":"Sm","key":"2255","mappings":{"default":{"default":"definiert als von rechts"}}},{"category":"Sm","key":"2256","mappings":{"default":{"default":"ungefähr gleich"}}},{"category":"Sm","key":"2257","mappings":{"default":{"default":"ungefähr gleich"}}},{"key":"2258","mappings":{"default":{"default":"entspricht"}},"category":"Sm"},{"category":"Sm","key":"2259","mappings":{"default":{"default":"entspricht"}}},{"category":"Sm","key":"225A","mappings":{"default":{"default":"gleichwinklig zu"}}},{"category":"Sm","key":"225B","mappings":{"default":{"default":"gleich mit Stern"}}},{"category":"Sm","key":"225C","mappings":{"default":{"default":"gleich mit Delta"}}},{"key":"225D","mappings":{"default":{"default":"definitionsgemäß gleich"}},"category":"Sm"},{"category":"Sm","key":"225E","mappings":{"default":{"default":"gemessen mit"}}},{"category":"Sm","key":"225F","mappings":{"default":{"default":"vielleicht gleich"}}},{"key":"2260","mappings":{"default":{"default":"ungleich"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"kongruent mit"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"nicht kongruent mit"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"genau äquivalent mit"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"kleiner oder gleich"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"größer oder gleich"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"kleiner als über gleich"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"größer als über gleich"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"kleiner als, aber nicht gleich"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"größer als, aber nicht gleich"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"viel kleiner als"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"viel größer als"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"zwischen"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"nicht äquivalent mit"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"nicht kleiner als"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"nicht größer als"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"weder kleiner als noch gleich"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"weder größer als noch gleich"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"kleiner als oder äquivalent"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"größer als oder äquivalent"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"weder kleiner als noch äquivalent"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"weder größer als noch äquivalent"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"kleiner oder größer als"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"größer oder kleiner als"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"weder kleiner noch größer als"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"weder größer noch kleiner als"}},"category":"Sm"},{"category":"Sm","key":"227A","mappings":{"default":{"default":"vorangehend"}}},{"category":"Sm","key":"227B","mappings":{"default":{"default":"nachfolgend"}}},{"category":"Sm","key":"227C","mappings":{"default":{"default":"vorangehend oder gleich"}}},{"category":"Sm","key":"227D","mappings":{"default":{"default":"nachfolgend oder gleich"}}},{"category":"Sm","key":"227E","mappings":{"default":{"default":"vorangehend oder äquivalent"}}},{"category":"Sm","key":"227F","mappings":{"default":{"default":"nachfolgend oder äquivalent"}}},{"category":"Sm","key":"2280","mappings":{"default":{"default":"nicht vorangehend"}}},{"category":"Sm","key":"2281","mappings":{"default":{"default":"nicht nachfolgend"}}},{"category":"Sm","key":"2282","mappings":{"default":{"default":"echte Teilmenge von"}}},{"category":"Sm","key":"2283","mappings":{"default":{"default":"echte Obermenge von"}}},{"category":"Sm","key":"2284","mappings":{"default":{"default":"keine echte Teilmenge von"}}},{"category":"Sm","key":"2285","mappings":{"default":{"default":"kein echte Obermenge von"}}},{"category":"Sm","key":"2286","mappings":{"default":{"default":"Teilmenge oder gleich"}}},{"category":"Sm","key":"2287","mappings":{"default":{"default":"Obermenge oder gleich"}}},{"category":"Sm","key":"2288","mappings":{"default":{"default":"weder Teilmenge noch gleich"}}},{"category":"Sm","key":"2289","mappings":{"default":{"default":"weder Obermenge noch gleich"}}},{"category":"Sm","key":"228A","mappings":{"default":{"default":"Teilmenge aber nicht gleich"}}},{"category":"Sm","key":"228B","mappings":{"default":{"default":"Obermenge aber nicht gleich"}}},{"category":"Sm","key":"228C","mappings":{"default":{"default":"Multimenge"}}},{"category":"Sm","key":"228D","mappings":{"default":{"default":"Multimengenmultiplikation"}}},{"category":"Sm","key":"228E","mappings":{"default":{"default":"Multimengenvereinigung"}}},{"category":"Sm","key":"228F","mappings":{"default":{"default":"quadratisches Bild von"}}},{"category":"Sm","key":"2290","mappings":{"default":{"default":"quadratisches Original von"}}},{"category":"Sm","key":"2291","mappings":{"default":{"default":"quadratisches Bild oder gleich"}}},{"category":"Sm","key":"2292","mappings":{"default":{"default":"quadratisches Original oder gleich"}}},{"category":"Sm","key":"2293","mappings":{"default":{"default":"quadratische Schnittmenge"}}},{"category":"Sm","key":"2294","mappings":{"default":{"default":"quadratische VereinigungTasse"}}},{"category":"Sm","key":"2295","mappings":{"default":{"default":"eingekreistes Plus"}}},{"category":"Sm","key":"2296","mappings":{"default":{"default":"eingekreistes Minus"}}},{"category":"Sm","key":"2297","mappings":{"default":{"default":"eingekreiste Multiplikation"}}},{"category":"Sm","key":"2298","mappings":{"default":{"default":"eingekreiste Division"}}},{"category":"Sm","key":"2299","mappings":{"default":{"default":"eingekreister Punktoperator"}}},{"category":"Sm","key":"229A","mappings":{"default":{"default":"eingekreister Ringoperator"}}},{"category":"Sm","key":"229B","mappings":{"default":{"default":"eingekreister Sternoperator"}}},{"category":"Sm","key":"229C","mappings":{"default":{"default":"eingekreistes Gleich"}}},{"category":"Sm","key":"229D","mappings":{"default":{"default":"eingekreister Gedankenstrich"}}},{"category":"Sm","key":"229E","mappings":{"default":{"default":"eingerahmtes Plus"}}},{"category":"Sm","key":"229F","mappings":{"default":{"default":"eingerahmtes Minus"}}},{"category":"Sm","key":"22A0","mappings":{"default":{"default":"eingerahmte Multiplikation"}}},{"category":"Sm","key":"22A1","mappings":{"default":{"default":"eingerahmter Punktoperator"}}},{"category":"Sm","key":"22A2","mappings":{"default":{"default":"ergibt"}}},{"category":"Sm","key":"22A3","mappings":{"default":{"default":"ergibt nicht"}}},{"category":"Sm","key":"22A4","mappings":{"default":{"default":"senkrecht von"}}},{"category":"Sm","key":"22A5","mappings":{"default":{"default":"senkrecht auf"}}},{"category":"Sm","key":"22A6","mappings":{"default":{"default":"Behauptung"}}},{"category":"Sm","key":"22A7","mappings":{"default":{"default":"Model"}}},{"category":"Sm","key":"22A8","mappings":{"default":{"default":"wahr"}}},{"category":"Sm","key":"22A9","mappings":{"default":{"default":"erzwingen"}}},{"category":"Sm","key":"22AA","mappings":{"default":{"default":"dreifache vertikale Leiste mit rechtem Drehkreuz"}}},{"category":"Sm","key":"22AB","mappings":{"default":{"default":"doppelte vertikale Leiste mit doppeltem rechtem Drehkreuz"}}},{"category":"Sm","key":"22AC","mappings":{"default":{"default":"beweist nicht"}}},{"category":"Sm","key":"22AD","mappings":{"default":{"default":"nicht wahr"}}},{"category":"Sm","key":"22AE","mappings":{"default":{"default":"nicht erzwingen"}}},{"category":"Sm","key":"22AF","mappings":{"default":{"default":"negierte doppelte vertikale Leiste mit doppeltem rechten Drehkreuz"}}},{"category":"Sm","key":"22B0","mappings":{"default":{"default":"vorangehend in Relation"}}},{"category":"Sm","key":"22B1","mappings":{"default":{"default":"nachfolgend in Relation"}}},{"category":"Sm","key":"22B2","mappings":{"default":{"default":"normale Untergruppe"}}},{"category":"Sm","key":"22B3","mappings":{"default":{"default":"enthält normale Untergruppe"}}},{"category":"Sm","key":"22B4","mappings":{"default":{"default":"normale Untergruppe von oder gleich"}}},{"category":"Sm","key":"22B5","mappings":{"default":{"default":"enthält normale Untergruppe oder gleich"}}},{"category":"Sm","key":"22B6","mappings":{"default":{"default":"Original von"}}},{"category":"Sm","key":"22B7","mappings":{"default":{"default":"Bild von"}}},{"category":"Sm","key":"22B8","mappings":{"default":{"default":"Mehrfachzuordnung"}}},{"category":"Sm","key":"22B9","mappings":{"default":{"default":"hermitesch konjugierte Matrix"}}},{"category":"Sm","key":"22BA","mappings":{"default":{"default":"einschalten"}}},{"category":"Sm","key":"22BB","mappings":{"default":{"default":"Ausschließendes Oder"}}},{"category":"Sm","key":"22BC","mappings":{"default":{"default":"Nand verknüpft mit"}}},{"category":"Sm","key":"22BD","mappings":{"default":{"default":"Nor verknüpft mit"}}},{"category":"Sm","key":"22BF","mappings":{"default":{"default":"rechtwinkliges Dreieck"}}},{"category":"Sm","key":"22C0","mappings":{"default":{"default":"N-stufiges logisches Und"}}},{"category":"Sm","key":"22C1","mappings":{"default":{"default":"N-stufiges logisches Oder"}}},{"category":"Sm","key":"22C2","mappings":{"default":{"default":"N-stufiger Durchschnitt"}}},{"category":"Sm","key":"22C3","mappings":{"default":{"default":"N-stufige Vereinigung"}}},{"category":"Sm","key":"22C4","mappings":{"default":{"default":"Rautenoperator"}}},{"category":"Sm","key":"22C5","mappings":{"default":{"default":"mal","alternative":"Multiplikationspunkt"}}},{"category":"Sm","key":"22C6","mappings":{"default":{"default":"Sternoperator"}}},{"category":"Sm","key":"22C7","mappings":{"default":{"default":"Divisionsanzahl"}}},{"category":"Sm","key":"22C8","mappings":{"default":{"default":"Schleife"}}},{"category":"Sm","key":"22C9","mappings":{"default":{"default":"linkes halbdirektes Produkt"}}},{"category":"Sm","key":"22CA","mappings":{"default":{"default":"rechtes halbdirektes Produkt"}}},{"category":"Sm","key":"22CB","mappings":{"default":{"default":"linkes halbdirektes Produkt"}}},{"category":"Sm","key":"22CC","mappings":{"default":{"default":"rechtes halbdirektes Produkt"}}},{"category":"Sm","key":"22CD","mappings":{"default":{"default":"umgekehrte Tilde gleich"}}},{"category":"Sm","key":"22CE","mappings":{"default":{"default":"geschweiftes logisches Oder"}}},{"category":"Sm","key":"22CF","mappings":{"default":{"default":"geschweiftes logisches Und"}}},{"category":"Sm","key":"22D0","mappings":{"default":{"default":"doppelte Teilmenge"}}},{"category":"Sm","key":"22D1","mappings":{"default":{"default":"doppelte Obermenge"}}},{"category":"Sm","key":"22D2","mappings":{"default":{"default":"doppelter Durchschnitt"}}},{"category":"Sm","key":"22D3","mappings":{"default":{"default":"doppelte Vereinigung"}}},{"category":"Sm","key":"22D4","mappings":{"default":{"default":"echter Durchschnitt"}}},{"category":"Sm","key":"22D5","mappings":{"default":{"default":"gleich und parallel"}}},{"category":"Sm","key":"22D6","mappings":{"default":{"default":"kleiner als mit Punkt"}}},{"category":"Sm","key":"22D7","mappings":{"default":{"default":"größer als mit Punkt"}}},{"category":"Sm","key":"22D8","mappings":{"default":{"default":"sehr viel kleiner als"}}},{"category":"Sm","key":"22D9","mappings":{"default":{"default":"sehr viel größer als"}}},{"category":"Sm","key":"22DA","mappings":{"default":{"default":"kleiner als, gleich oder größer als"}}},{"category":"Sm","key":"22DB","mappings":{"default":{"default":"größer als, gleich oder kleiner als"}}},{"category":"Sm","key":"22DC","mappings":{"default":{"default":"gleich oder kleiner als"}}},{"category":"Sm","key":"22DD","mappings":{"default":{"default":"gleich oder größer als"}}},{"category":"Sm","key":"22DE","mappings":{"default":{"default":"gleich oder vorangehend"}}},{"category":"Sm","key":"22DF","mappings":{"default":{"default":"gleich oder nachfolgend"}}},{"category":"Sm","key":"22E0","mappings":{"default":{"default":"weder vorangehend oder gleich"}}},{"category":"Sm","key":"22E1","mappings":{"default":{"default":"weder nachfolgend oder gleich"}}},{"category":"Sm","key":"22E2","mappings":{"default":{"default":"kein quadratisches Bild oder gleich"}}},{"category":"Sm","key":"22E3","mappings":{"default":{"default":"kein quadratisches Original oder gleich"}}},{"category":"Sm","key":"22E4","mappings":{"default":{"default":"quadratisches Bild oder nicht gleich"}}},{"category":"Sm","key":"22E5","mappings":{"default":{"default":"quadratisches Original oder nicht gleich"}}},{"category":"Sm","key":"22E6","mappings":{"default":{"default":"kleiner als, aber nicht äquivalent"}}},{"category":"Sm","key":"22E7","mappings":{"default":{"default":"größer als, aber nicht äquivalent"}}},{"category":"Sm","key":"22E8","mappings":{"default":{"default":"vorangehend, aber nicht äquivalent"}}},{"category":"Sm","key":"22E9","mappings":{"default":{"default":"nachfolgend, aber nicht äquivalent"}}},{"category":"Sm","key":"22EA","mappings":{"default":{"default":"nicht normale Untergruppe von"}}},{"category":"Sm","key":"22EB","mappings":{"default":{"default":"enthält keine normale Untergruppe"}}},{"category":"Sm","key":"22EC","mappings":{"default":{"default":"keine normale Untergruppe von oder gleich"}}},{"category":"Sm","key":"22ED","mappings":{"default":{"default":"enthält nicht als normale Untergruppe oder gleich"}}},{"category":"Sm","key":"22EE","mappings":{"default":{"default":"Vertikale Ellipsis"}}},{"category":"Sm","key":"22EF","mappings":{"default":{"default":"Zentrierte horizontale Ellipse"}}},{"category":"Sm","key":"22F0","mappings":{"default":{"default":"Diagonale Ellipse unten links nach oben rechts"}}},{"category":"Sm","key":"22F1","mappings":{"default":{"default":"Diagonale Ellipse, oben links nach unten rechts"}}},{"category":"Sm","key":"22F2","mappings":{"default":{"default":"Element mit langem horizontalen Strich"}}},{"category":"Sm","key":"22F3","mappings":{"default":{"default":"Element mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"category":"Sm","key":"22F4","mappings":{"default":{"default":"kleines Element mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"category":"Sm","key":"22F5","mappings":{"default":{"default":"Element mit Punkt"}}},{"category":"Sm","key":"22F6","mappings":{"default":{"default":"Element mit Überstrich"}}},{"key":"22F7","mappings":{"default":{"default":"kleines Element mit Überstrich"}},"category":"Sm"},{"category":"Sm","key":"22F8","mappings":{"default":{"default":"Element mit Unterstrich"}}},{"category":"Sm","key":"22F9","mappings":{"default":{"default":"Element mit 2 horizontalen Strichen"}}},{"category":"Sm","key":"22FA","mappings":{"default":{"default":"umgekehrtes Elementzeichen mit langem horizontalen Strich"}}},{"category":"Sm","key":"22FB","mappings":{"default":{"default":"umgekehrtes Elementzeichen mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"category":"Sm","key":"22FC","mappings":{"default":{"default":"kleines umgekehrtes Elementzeichen mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"key":"22FD","mappings":{"default":{"default":"umgekehrtes Elementzeichen mit Überstrich"}},"category":"Sm"},{"category":"Sm","key":"22FE","mappings":{"default":{"default":"kleines umgekehrtes Elementzeichen mit Überstrich"}}},{"category":"Sm","key":"22FF","mappings":{"default":{"default":"Z-Notation-Bag-Mitgliedschaft"}}},{"category":"So","key":"2300","mappings":{"default":{"default":"Durchmesser-Zeichen"}}},{"category":"So","key":"2302","mappings":{"default":{"default":"Haus"}}},{"category":"So","key":"2305","mappings":{"default":{"default":"Projektiv"}}},{"category":"So","key":"2306","mappings":{"default":{"default":"Perspektive"}}},{"category":"So","key":"2307","mappings":{"default":{"default":"Schlangenlinie"}}},{"category":"So","key":"2310","mappings":{"default":{"default":"Umgekehrtes Nichtzeichen"}}},{"category":"So","key":"2311","mappings":{"default":{"default":"Quadratische Raute"}}},{"category":"So","key":"2312","mappings":{"default":{"default":"Bogen"}}},{"category":"So","key":"2313","mappings":{"default":{"default":"Segment"}}},{"category":"So","key":"2314","mappings":{"default":{"default":"Sektor"}}},{"category":"So","key":"2795","mappings":{"default":{"default":"Schweres Pluszeichen"}}},{"category":"So","key":"2796","mappings":{"default":{"default":"Schweres Minuszeichen"}}},{"category":"So","key":"2797","mappings":{"default":{"default":"Heavy Division Sign"}}},{"category":"So","key":"27B0","mappings":{"default":{"default":"Curly Loop"}}},{"category":"So","key":"27BF","mappings":{"default":{"default":"Doppelte geschweifte Schleife"}}},{"category":"Sm","key":"27C1","mappings":{"default":{"default":"Weißes Dreieck, das kleines weißes Dreieck enthält"}}},{"category":"Sm","key":"27C2","mappings":{"default":{"default":"Aufrecht"}}},{"category":"Sm","key":"27C3","mappings":{"default":{"default":"Subset öffnen"}}},{"category":"Sm","key":"27C4","mappings":{"default":{"default":"Superset öffnen"}}},{"category":"Sm","key":"27C7","mappings":{"default":{"default":"Oder mit innerem Punkt"}}},{"category":"Sm","key":"27C8","mappings":{"default":{"default":"Umgekehrter Schrägstrich Vorhergehender Teilsatz"}}},{"category":"Sm","key":"27C9","mappings":{"default":{"default":"Superset Vorgänger Schrägstrich"}}},{"category":"Sm","key":"27CA","mappings":{"default":{"default":"Vertikaler Balken mit horizontalem Hub"}}},{"category":"Sm","key":"27CB","mappings":{"default":{"default":"Mathematische aufsteigende Diagonale"}}},{"category":"Sm","key":"27CC","mappings":{"default":{"default":"Lange Abteilung"}}},{"category":"Sm","key":"27CD","mappings":{"default":{"default":"Mathematische fallende Diagonale"}}},{"category":"Sm","key":"27CE","mappings":{"default":{"default":"quadratisches und"}}},{"category":"Sm","key":"27CF","mappings":{"default":{"default":"quadratisches oder"}}},{"category":"Sm","key":"27D0","mappings":{"default":{"default":"Weißer Diamant mit zentriertem Punkt"}}},{"category":"Sm","key":"27D1","mappings":{"default":{"default":"Und mit Dot"}}},{"category":"Sm","key":"27D2","mappings":{"default":{"default":"Element der Öffnung nach oben"}}},{"category":"Sm","key":"27D3","mappings":{"default":{"default":"Untere rechte Ecke mit Punkt"}}},{"category":"Sm","key":"27D4","mappings":{"default":{"default":"Obere linke Ecke mit Punkt"}}},{"category":"Sm","key":"27D5","mappings":{"default":{"default":"Linke äußere Verbindung"}}},{"category":"Sm","key":"27D6","mappings":{"default":{"default":"rechter äußerer Join"}}},{"category":"Sm","key":"27D7","mappings":{"default":{"default":"Volle äußere Verbindung"}}},{"category":"Sm","key":"27D8","mappings":{"default":{"default":"Große Up Tack"}}},{"category":"Sm","key":"27D9","mappings":{"default":{"default":"Großes Down Tack"}}},{"category":"Sm","key":"27DA","mappings":{"default":{"default":"Linkes und rechtes doppeltes Drehkreuz"}}},{"category":"Sm","key":"27DB","mappings":{"default":{"default":"Linker und rechter Tack"}}},{"category":"Sm","key":"27DC","mappings":{"default":{"default":"Linke Multimap"}}},{"category":"Sm","key":"27DD","mappings":{"default":{"default":"Long Right Tack"}}},{"category":"Sm","key":"27DE","mappings":{"default":{"default":"Langer linker Tack"}}},{"category":"Sm","key":"27DF","mappings":{"default":{"default":"Up Tack mit Kreis oben"}}},{"category":"Sm","key":"27E0","mappings":{"default":{"default":"Raute durch horizontale Regel geteilt"}}},{"category":"Sm","key":"27E1","mappings":{"default":{"default":"Weißer konkavseitiger Diamant"}}},{"category":"Sm","key":"27E2","mappings":{"default":{"default":"Weißer konkavseitiger Diamant mit Zecke nach links"}}},{"category":"Sm","key":"27E3","mappings":{"default":{"default":"Weißer konkavseitiger Diamant mit Zecke nach rechts"}}},{"category":"Sm","key":"27E4","mappings":{"default":{"default":"Weißes Quadrat mit Zecke nach links"}}},{"category":"Sm","key":"27E5","mappings":{"default":{"default":"Weißes Quadrat mit Tick nach rechts"}}},{"category":"Sm","key":"292B","mappings":{"default":{"default":"Steigende diagonale Kreuzung fallende Diagonale"}}},{"category":"Sm","key":"292C","mappings":{"default":{"default":"Fallende diagonale Kreuzung steigende Diagonale"}}},{"category":"Sm","key":"2980","mappings":{"default":{"default":"Dreifacher vertikaler Balkenbegrenzer"}}},{"category":"Sm","key":"2981","mappings":{"default":{"default":"Z Notationspunkt"}}},{"category":"Sm","key":"2982","mappings":{"default":{"default":"Z Notationstyp Doppelpunkt"}}},{"category":"Sm","key":"2999","mappings":{"default":{"default":"Gepunkteter Zaun"}}},{"category":"Sm","key":"299A","mappings":{"default":{"default":"Vertikale Zickzacklinie"}}},{"category":"Sm","key":"29B0","mappings":{"default":{"default":"Umgekehrter leerer Satz"}}},{"category":"Sm","key":"29B1","mappings":{"default":{"default":"Leeres Set mit Overbar"}}},{"category":"Sm","key":"29B2","mappings":{"default":{"default":"Leeres Set mit kleinem Kreis oben"}}},{"category":"Sm","key":"29B5","mappings":{"default":{"default":"Kreis mit horizontaler Leiste"}}},{"key":"29B6","mappings":{"default":{"default":"circled vertical bar"}},"category":"Sm"},{"category":"Sm","key":"29B7","mappings":{"default":{"default":"eingekreiste Parallele"}}},{"category":"Sm","key":"29B8","mappings":{"default":{"default":"eingekreister umgekehrter Schrägstrich"}}},{"category":"Sm","key":"29B9","mappings":{"default":{"default":"eingekreistes Senkrecht"}}},{"category":"Sm","key":"29BA","mappings":{"default":{"default":"Kreis geteilt durch horizontale Leiste und obere Hälfte geteilt durch vertikale Leiste"}}},{"category":"Sm","key":"29BB","mappings":{"default":{"default":"Kreis mit überlagertem X"}}},{"category":"Sm","key":"29BC","mappings":{"default":{"default":"eingekreistes, gegen den Uhrzeigersinn gedrehtes Divisionszeichen"}}},{"category":"Sm","key":"29BE","mappings":{"default":{"default":"eingekreiste weiße Kugel"}}},{"category":"Sm","key":"29BF","mappings":{"default":{"default":"eingekreiste Kugel"}}},{"category":"Sm","key":"29C0","mappings":{"default":{"default":"eingekreist weniger als"}}},{"category":"Sm","key":"29C1","mappings":{"default":{"default":"eingekreist größer als"}}},{"category":"Sm","key":"29C2","mappings":{"default":{"default":"Kreis mit kleinem Kreis nach rechts"}}},{"category":"Sm","key":"29C3","mappings":{"default":{"default":"Kreis mit zwei horizontalen Strichen nach rechts"}}},{"category":"Sm","key":"29C4","mappings":{"default":{"default":"Quadrat mit Diagonale links unten nach rechts oben"}}},{"category":"Sm","key":"29C5","mappings":{"default":{"default":"Quadrat mit Diagonale links oben nach rechts unten"}}},{"category":"Sm","key":"29C6","mappings":{"default":{"default":"Quadrat Sternchen"}}},{"category":"Sm","key":"29C7","mappings":{"default":{"default":"Quadratischer kleiner Kreis"}}},{"category":"Sm","key":"29C8","mappings":{"default":{"default":"Doppelquadrat"}}},{"category":"Sm","key":"29C9","mappings":{"default":{"default":"Zwei verbundene Quadrate"}}},{"category":"Sm","key":"29CA","mappings":{"default":{"default":"Dreieck mit Punkt oben"}}},{"category":"Sm","key":"29CB","mappings":{"default":{"default":"Dreieck mit Unterleiste"}}},{"category":"Sm","key":"29CC","mappings":{"default":{"default":"S im Dreieck"}}},{"category":"Sm","key":"29CD","mappings":{"default":{"default":"Dreieck mit Serifen unten"}}},{"category":"Sm","key":"29CE","mappings":{"default":{"default":"Rechtes Dreieck über linkem Dreieck"}}},{"category":"Sm","key":"29CF","mappings":{"default":{"default":"Linkes Dreieck neben vertikaler Leiste"}}},{"category":"Sm","key":"29D0","mappings":{"default":{"default":"Vertikaler Balken neben dem rechten Dreieck"}}},{"category":"Sm","key":"29D1","mappings":{"default":{"default":"Fliege mit linker Hälfte schwarz"}}},{"category":"Sm","key":"29D2","mappings":{"default":{"default":"Fliege mit rechter Hälfte schwarz"}}},{"category":"Sm","key":"29D3","mappings":{"default":{"default":"Schwarze Fliege"}}},{"category":"Sm","key":"29D4","mappings":{"default":{"default":"Zeiten mit linker Hälfte schwarz"}}},{"category":"Sm","key":"29D5","mappings":{"default":{"default":"Mal mit rechter Hälfte Schwarz"}}},{"category":"Sm","key":"29D6","mappings":{"default":{"default":"Weiße Sanduhr"}}},{"category":"Sm","key":"29D7","mappings":{"default":{"default":"Schwarze Sanduhr"}}},{"category":"Sm","key":"29DC","mappings":{"default":{"default":"Unvollständige Unendlichkeit"}}},{"category":"Sm","key":"29DD","mappings":{"default":{"default":"Krawatte über Unendlichkeit"}}},{"category":"Sm","key":"29DE","mappings":{"default":{"default":"Unendlichkeit mit vertikaler Leiste negiert"}}},{"category":"Sm","key":"29DF","mappings":{"default":{"default":"Doppelter Multimap"}}},{"category":"Sm","key":"29E0","mappings":{"default":{"default":"Quadrat mit konturierter Kontur"}}},{"category":"Sm","key":"29E1","mappings":{"default":{"default":"Erhöht als"}}},{"category":"Sm","key":"29E2","mappings":{"default":{"default":"Produkt mischen"}}},{"category":"Sm","key":"29E3","mappings":{"default":{"default":"Gleichheitszeichen und geneigte Parallele"}}},{"category":"Sm","key":"29E4","mappings":{"default":{"default":"Gleichheitszeichen und schräge Parallele zu Tilde oben"}}},{"category":"Sm","key":"29E5","mappings":{"default":{"default":"Identisch und schräg parallel"}}},{"category":"Sm","key":"29E6","mappings":{"default":{"default":"Gleich Stark"}}},{"category":"Sm","key":"29E7","mappings":{"default":{"default":"Thermodynamisch"}}},{"category":"Sm","key":"29E8","mappings":{"default":{"default":"Abwärtszeigendes Dreieck mit linker Hälfte schwarz"}}},{"category":"Sm","key":"29E9","mappings":{"default":{"default":"Abwärtsdreieck mit rechter Hälfte schwarz"}}},{"category":"Sm","key":"29EB","mappings":{"default":{"default":"Schwarze Raute"}}},{"category":"Sm","key":"29EE","mappings":{"default":{"default":"Fehlergesperrtes weißes Quadrat"}}},{"category":"Sm","key":"29EF","mappings":{"default":{"default":"Fehlerfreies schwarzes Quadrat"}}},{"category":"Sm","key":"29F0","mappings":{"default":{"default":"Fehlergesperrter weißer Diamant"}}},{"category":"Sm","key":"29F1","mappings":{"default":{"default":"Error-Barred Black Diamond"}}},{"category":"Sm","key":"29F2","mappings":{"default":{"default":"Fehlergesperrter weißer Kreis"}}},{"category":"Sm","key":"29F3","mappings":{"default":{"default":"Fehlergesperrter schwarzer Kreis"}}},{"key":"29F4","mappings":{"default":{"default":"rule delayed"}},"category":"Sm"},{"category":"Sm","key":"29F5","mappings":{"default":{"default":"Umgekehrter Schrägstrich Operator"}}},{"category":"Sm","key":"29F6","mappings":{"default":{"default":"Schrägstrich mit Overbar"}}},{"category":"Sm","key":"29F7","mappings":{"default":{"default":"Umgekehrter Schrägstrich mit horizontalem Hub"}}},{"category":"Sm","key":"29F8","mappings":{"default":{"default":"Großer Schrägstrich"}}},{"category":"Sm","key":"29F9","mappings":{"default":{"default":"Großer umgekehrter Schrägstrich"}}},{"category":"Sm","key":"29FA","mappings":{"default":{"default":"Doppel plus"}}},{"category":"Sm","key":"29FB","mappings":{"default":{"default":"Triple Plus"}}},{"category":"Sm","key":"29FE","mappings":{"default":{"default":"Winzig"}}},{"category":"Sm","key":"29FF","mappings":{"default":{"default":"Miny"}}},{"category":"Sm","key":"2A00","mappings":{"default":{"default":"N-Ary Circled-Punkt-Operator"}}},{"category":"Sm","key":"2A01","mappings":{"default":{"default":"N-Ary Circled Plus Operator"}}},{"category":"Sm","key":"2A02","mappings":{"default":{"default":"N-Ary Circled-Times-Operator"}}},{"category":"Sm","key":"2A03","mappings":{"default":{"default":"N-Ary Union-Operator mit Punkt"}}},{"category":"Sm","key":"2A04","mappings":{"default":{"default":"N-Ary Union-Operator mit Plus"}}},{"category":"Sm","key":"2A05","mappings":{"default":{"default":"N-Ary Square-Kreuzungsoperator"}}},{"category":"Sm","key":"2A06","mappings":{"default":{"default":"N-Ary Square Union-Betreiber"}}},{"category":"Sm","key":"2A07","mappings":{"default":{"default":"Zwei logische und Operator"}}},{"category":"Sm","key":"2A08","mappings":{"default":{"default":"Zwei logisch oder Operator"}}},{"category":"Sm","key":"2A09","mappings":{"default":{"default":"N-Ary Times-Operator"}}},{"category":"Sm","key":"2A0A","mappings":{"default":{"default":"Modulo Zwei Summe"}}},{"category":"Sm","key":"2A0B","mappings":{"default":{"default":"Summation mit Integral"}}},{"category":"Sm","key":"2A0C","mappings":{"default":{"default":"Vierfach-Integral-Operator"}}},{"category":"Sm","key":"2A0D","mappings":{"default":{"default":"Finite Part Integral"}}},{"category":"Sm","key":"2A0E","mappings":{"default":{"default":"Integral mit Doppelhub"}}},{"category":"Sm","key":"2A0F","mappings":{"default":{"default":"Integraler Durchschnitt mit Schrägstrich"}}},{"category":"Sm","key":"2A10","mappings":{"default":{"default":"Zirkulationsfunktion"}}},{"category":"Sm","key":"2A11","mappings":{"default":{"default":"Integration gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"2A12","mappings":{"default":{"default":"Linienintegration mit rechteckigem Pfad um die Pole"}}},{"category":"Sm","key":"2A13","mappings":{"default":{"default":"Linienintegration mit halbkreisförmigem Pfad um den Pol"}}},{"category":"Sm","key":"2A14","mappings":{"default":{"default":"Leitungsintegration ohne Pole"}}},{"category":"Sm","key":"2A15","mappings":{"default":{"default":"Integral um einen Punktoperator"}}},{"category":"Sm","key":"2A16","mappings":{"default":{"default":"Quaternion Integral Operator"}}},{"category":"Sm","key":"2A18","mappings":{"default":{"default":"Integriert mit Times Sign"}}},{"category":"Sm","key":"2A19","mappings":{"default":{"default":"Integral mit der Kreuzung"}}},{"category":"Sm","key":"2A1A","mappings":{"default":{"default":"Integral mit Union"}}},{"category":"Sm","key":"2A1B","mappings":{"default":{"default":"Integral mit Overbar"}}},{"category":"Sm","key":"2A1C","mappings":{"default":{"default":"Integral mit Underbar"}}},{"category":"Sm","key":"2A1D","mappings":{"default":{"default":"Beitreten"}}},{"category":"Sm","key":"2A1E","mappings":{"default":{"default":"Großes linkes Dreieckbediener"}}},{"category":"Sm","key":"2A1F","mappings":{"default":{"default":"Z-Notationsschema-Zusammensetzung"}}},{"category":"Sm","key":"2A20","mappings":{"default":{"default":"Z-Notationsschema-Piping"}}},{"category":"Sm","key":"2A21","mappings":{"default":{"default":"Z-Notationsschema-Projektion"}}},{"category":"Sm","key":"2A22","mappings":{"default":{"default":"Pluszeichen mit kleinem Kreis oben"}}},{"category":"Sm","key":"2A23","mappings":{"default":{"default":"Pluszeichen mit Zirkumflex-Akzent oben"}}},{"category":"Sm","key":"2A24","mappings":{"default":{"default":"Pluszeichen mit Tilde oben"}}},{"category":"Sm","key":"2A25","mappings":{"default":{"default":"Pluszeichen mit Punkt unten"}}},{"category":"Sm","key":"2A26","mappings":{"default":{"default":"Pluszeichen mit Tilde unter"}}},{"category":"Sm","key":"2A27","mappings":{"default":{"default":"Pluszeichen mit Index Zwei"}}},{"category":"Sm","key":"2A28","mappings":{"default":{"default":"Pluszeichen mit schwarzem Dreieck"}}},{"category":"Sm","key":"2A29","mappings":{"default":{"default":"Minuszeichen mit Komma oben"}}},{"category":"Sm","key":"2A2A","mappings":{"default":{"default":"Minuszeichen mit Punkt unten"}}},{"category":"Sm","key":"2A2B","mappings":{"default":{"default":"Minuszeichen mit fallenden Punkten"}}},{"category":"Sm","key":"2A2C","mappings":{"default":{"default":"Minuszeichen mit steigenden Punkten"}}},{"category":"Sm","key":"2A2D","mappings":{"default":{"default":"Pluszeichen Im linken Halbkreis"}}},{"category":"Sm","key":"2A2E","mappings":{"default":{"default":"Pluszeichen Im rechten Halbkreis"}}},{"category":"Sm","key":"2A2F","mappings":{"default":{"default":"Vektor- oder Kreuzprodukt"}}},{"category":"Sm","key":"2A30","mappings":{"default":{"default":"Multiplikationszeichen mit Punkt oben"}}},{"category":"Sm","key":"2A31","mappings":{"default":{"default":"Multiplikationszeichen mit Unterleiste"}}},{"category":"Sm","key":"2A32","mappings":{"default":{"default":"Semidirektprodukt mit geschlossenem Boden"}}},{"key":"2A33","mappings":{"default":{"default":"smash product"}},"category":"Sm"},{"category":"Sm","key":"2A34","mappings":{"default":{"default":"Multiplikationszeichen im linken Halbkreis"}}},{"category":"Sm","key":"2A35","mappings":{"default":{"default":"Multiplikationszeichen im rechten Halbkreis"}}},{"category":"Sm","key":"2A36","mappings":{"default":{"default":"eingekreistes Multiplikationszeichen mit Circumflex-Akzent"}}},{"category":"Sm","key":"2A37","mappings":{"default":{"default":"Multiplikationszeichen im doppelten Kreis"}}},{"key":"2A38","mappings":{"default":{"default":"circled division sign"}},"category":"Sm"},{"category":"Sm","key":"2A39","mappings":{"default":{"default":"Pluszeichen im Dreieck"}}},{"category":"Sm","key":"2A3A","mappings":{"default":{"default":"Minuszeichen im Dreieck"}}},{"category":"Sm","key":"2A3B","mappings":{"default":{"default":"Multiplikationszeichen im Dreieck"}}},{"category":"Sm","key":"2A3C","mappings":{"default":{"default":"Innenprodukt"}}},{"category":"Sm","key":"2A3D","mappings":{"default":{"default":"Produkt für den rechten Innenraum"}}},{"category":"Sm","key":"2A3E","mappings":{"default":{"default":"Z-Notation relationaler Aufbau"}}},{"category":"Sm","key":"2A3F","mappings":{"default":{"default":"Verschmelzung oder Koprodukt"}}},{"category":"Sm","key":"2A40","mappings":{"default":{"default":"Schnittpunkt mit Punkt"}}},{"category":"Sm","key":"2A41","mappings":{"default":{"default":"Union mit Minuszeichen"}}},{"category":"Sm","key":"2A42","mappings":{"default":{"default":"Union mit Overbar"}}},{"category":"Sm","key":"2A43","mappings":{"default":{"default":"Kreuzung mit Overbar"}}},{"category":"Sm","key":"2A44","mappings":{"default":{"default":"Überschneidung mit logischem und"}}},{"category":"Sm","key":"2A45","mappings":{"default":{"default":"Vereinigung mit logischem Or"}}},{"category":"Sm","key":"2A46","mappings":{"default":{"default":"Vereinigung über dem Schnittpunkt"}}},{"category":"Sm","key":"2A47","mappings":{"default":{"default":"Schnittpunkt über Union"}}},{"category":"Sm","key":"2A48","mappings":{"default":{"default":"Vereinigung über Stab über Kreuzung"}}},{"category":"Sm","key":"2A49","mappings":{"default":{"default":"Schnittpunkt oberhalb der Stange oberhalb der Union"}}},{"category":"Sm","key":"2A4A","mappings":{"default":{"default":"Union daneben und mit Union verbunden"}}},{"category":"Sm","key":"2A4B","mappings":{"default":{"default":"Kreuzung neben und mit Kreuzung verbunden"}}},{"category":"Sm","key":"2A4C","mappings":{"default":{"default":"Geschlossene Vereinigung mit Serifen"}}},{"category":"Sm","key":"2A4D","mappings":{"default":{"default":"Geschlossener Schnittpunkt mit Serifen"}}},{"category":"Sm","key":"2A4E","mappings":{"default":{"default":"Doppelter Quadratschnitt"}}},{"category":"Sm","key":"2A4F","mappings":{"default":{"default":"Double Square Union"}}},{"category":"Sm","key":"2A50","mappings":{"default":{"default":"Closed Union mit Serifen und Smash-Produkten"}}},{"category":"Sm","key":"2A51","mappings":{"default":{"default":"Logisch und mit Punkt oben"}}},{"category":"Sm","key":"2A52","mappings":{"default":{"default":"Logisch oder mit Punkt oben"}}},{"key":"2A53","mappings":{"default":{"default":"double logical and"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"double logical or"}},"category":"Sm"},{"category":"Sm","key":"2A55","mappings":{"default":{"default":"Zwei durchschneiden logisch und"}}},{"category":"Sm","key":"2A56","mappings":{"default":{"default":"Zwei sich überschneidende logische Oder"}}},{"category":"Sm","key":"2A57","mappings":{"default":{"default":"Abfallend groß oder"}}},{"category":"Sm","key":"2A58","mappings":{"default":{"default":"Abfallend groß und"}}},{"category":"Sm","key":"2A59","mappings":{"default":{"default":"Logisch oder Überlappend Logisch Und"}}},{"category":"Sm","key":"2A5A","mappings":{"default":{"default":"Logisch und mit Middle Stem"}}},{"category":"Sm","key":"2A5B","mappings":{"default":{"default":"Logisch oder mit Middle Stem"}}},{"category":"Sm","key":"2A5C","mappings":{"default":{"default":"Logisch und mit Horizontalstrich"}}},{"category":"Sm","key":"2A5D","mappings":{"default":{"default":"Logisch oder mit Horizontalstrich"}}},{"category":"Sm","key":"2A5E","mappings":{"default":{"default":"Logisch und mit Double Overbar"}}},{"category":"Sm","key":"2A5F","mappings":{"default":{"default":"Logisch und mit Underbar"}}},{"category":"Sm","key":"2A60","mappings":{"default":{"default":"Logisch und mit Double Underbar"}}},{"category":"Sm","key":"2A61","mappings":{"default":{"default":"kleines Vee mit Underbar"}}},{"category":"Sm","key":"2A62","mappings":{"default":{"default":"Logisch oder mit Double Overbar"}}},{"category":"Sm","key":"2A63","mappings":{"default":{"default":"Logisch oder mit doppelter Unterleiste"}}},{"category":"Sm","key":"2A64","mappings":{"default":{"default":"Z-Notation Domain Antirestriction"}}},{"category":"Sm","key":"2A65","mappings":{"default":{"default":"Z Notationsbereich Antirestriction"}}},{"category":"Sm","key":"2A66","mappings":{"default":{"default":"Gleichheitszeichen mit Punkt unten"}}},{"category":"Sm","key":"2A67","mappings":{"default":{"default":"Identisch mit dem obigen Punkt"}}},{"category":"Sm","key":"2A68","mappings":{"default":{"default":"Dreifacher Horizontalbalken mit doppeltem vertikalem Hub"}}},{"category":"Sm","key":"2A69","mappings":{"default":{"default":"Dreifacher Horizontalbalken mit dreifachem vertikalem Hub"}}},{"category":"Sm","key":"2A6A","mappings":{"default":{"default":"Tilde-Operator mit Punkt oben"}}},{"category":"Sm","key":"2A6B","mappings":{"default":{"default":"Tilde-Operator mit steigenden Punkten"}}},{"category":"Sm","key":"2A6C","mappings":{"default":{"default":"Ähnlich Minus Ähnlich"}}},{"category":"Sm","key":"2A6D","mappings":{"default":{"default":"Kongruent mit Punkt oben"}}},{"category":"Sm","key":"2A6E","mappings":{"default":{"default":"Entspricht Asterisk"}}},{"category":"Sm","key":"2A6F","mappings":{"default":{"default":"Fast gleichwertig mit dem Circumflex Accent"}}},{"category":"Sm","key":"2A70","mappings":{"default":{"default":"Ungefähr gleich oder gleich zu"}}},{"category":"Sm","key":"2A71","mappings":{"default":{"default":"Gleichheitszeichen über Pluszeichen"}}},{"category":"Sm","key":"2A72","mappings":{"default":{"default":"Pluszeichen über Gleichheitszeichen"}}},{"category":"Sm","key":"2A73","mappings":{"default":{"default":"Gleichheitszeichen über Tilde-Operator"}}},{"category":"Sm","key":"2A74","mappings":{"default":{"default":"Doppelpunkt gleich"}}},{"key":"2A75","mappings":{"default":{"default":"double equal"}},"category":"Sm"},{"category":"Sm","key":"2A76","mappings":{"default":{"default":"Drei aufeinander folgende Gleichheitszeichen"}}},{"category":"Sm","key":"2A77","mappings":{"default":{"default":"Gleichheitszeichen mit zwei Punkten oben und zwei Punkten unten"}}},{"category":"Sm","key":"2A78","mappings":{"default":{"default":"Gleichwertig mit vier Punkten oben"}}},{"category":"Sm","key":"2A79","mappings":{"default":{"default":"Weniger als mit Circle Inside"}}},{"category":"Sm","key":"2A7A","mappings":{"default":{"default":"Größer als mit Kreis nach innen"}}},{"category":"Sm","key":"2A7B","mappings":{"default":{"default":"Weniger als mit Fragezeichen oben"}}},{"category":"Sm","key":"2A7C","mappings":{"default":{"default":"Größer als mit Fragezeichen oben"}}},{"category":"Sm","key":"2A7D","mappings":{"default":{"default":"Weniger als oder schräg gleich"}}},{"category":"Sm","key":"2A7E","mappings":{"default":{"default":"Größer als oder schräg gleich"}}},{"category":"Sm","key":"2A7F","mappings":{"default":{"default":"Weniger als oder schräg gleich mit Punkt nach innen"}}},{"category":"Sm","key":"2A80","mappings":{"default":{"default":"Größer als oder schräg gleich mit Punkt nach innen"}}},{"category":"Sm","key":"2A81","mappings":{"default":{"default":"Weniger als oder schräg gleich mit Punkt oben"}}},{"category":"Sm","key":"2A82","mappings":{"default":{"default":"Größer als oder schräg gleich mit Punkt oben"}}},{"category":"Sm","key":"2A83","mappings":{"default":{"default":"Weniger als oder schräg gleich mit Punkt oben rechts"}}},{"category":"Sm","key":"2A84","mappings":{"default":{"default":"Größer als oder schräg gleich mit Punkt oben links"}}},{"category":"Sm","key":"2A85","mappings":{"default":{"default":"Weniger als oder ungefähr"}}},{"category":"Sm","key":"2A86","mappings":{"default":{"default":"Größer als oder ungefähr"}}},{"category":"Sm","key":"2A87","mappings":{"default":{"default":"Kleiner als aber nicht gleich"}}},{"category":"Sm","key":"2A88","mappings":{"default":{"default":"Größer als aber nicht gleich"}}},{"key":"2A89","mappings":{"default":{"default":"Kleiner als aber nicht ungefähr gleich"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"Größer als aber nicht ungefähr gleich"}},"category":"Sm"},{"category":"Sm","key":"2A8B","mappings":{"default":{"default":"Weniger als aber größer als oben"}}},{"category":"Sm","key":"2A8C","mappings":{"default":{"default":"Größer als aber weniger als unten und größer als oben"}}},{"category":"Sm","key":"2A8D","mappings":{"default":{"default":"Weniger als oben ähnlich oder gleich"}}},{"category":"Sm","key":"2A8E","mappings":{"default":{"default":"Größer als oben ähnlich oder gleich"}}},{"category":"Sm","key":"2A8F","mappings":{"default":{"default":"Weniger als oben ähnlich oben größer als"}}},{"category":"Sm","key":"2A90","mappings":{"default":{"default":"Größer als oben Ähnlich oben"}}},{"key":"2A91","mappings":{"default":{"default":"less than greater than or equal to"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"greater than less than or equal to"}},"category":"Sm"},{"category":"Sm","key":"2A93","mappings":{"default":{"default":"Weniger als oben schräg gleich oben Größer als oben schräg gleich"}}},{"category":"Sm","key":"2A94","mappings":{"default":{"default":"Größer als oben schräg gleich oben kleiner als oben schräg gleich groß"}}},{"category":"Sm","key":"2A95","mappings":{"default":{"default":"Schräg gleich oder kleiner als"}}},{"category":"Sm","key":"2A96","mappings":{"default":{"default":"Schräg gleich oder größer als"}}},{"category":"Sm","key":"2A97","mappings":{"default":{"default":"Schräg gleich oder kleiner als mit innenliegendem Punkt"}}},{"category":"Sm","key":"2A98","mappings":{"default":{"default":"Schräg gleich oder größer als mit Punkt nach innen"}}},{"key":"2A99","mappings":{"default":{"default":"Gleich oder kleiner als"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"Gleich oder größer als"}},"category":"Sm"},{"category":"Sm","key":"2A9B","mappings":{"default":{"default":"Doppelte Linie schräg gleich oder kleiner als"}}},{"category":"Sm","key":"2A9C","mappings":{"default":{"default":"Doppelte Linie schräg gleich oder größer als"}}},{"key":"2A9D","mappings":{"default":{"default":"Äquivalent oder kleiner als"}},"category":"Sm"},{"category":"Sm","key":"2A9E","mappings":{"default":{"default":"Ähnlich oder größer als"}}},{"category":"Sm","key":"2A9F","mappings":{"default":{"default":"Ähnlich oben Weniger als Gleiches Gleichheitszeichen"}}},{"category":"Sm","key":"2AA0","mappings":{"default":{"default":"Ähnlich oben größer als oben Gleichheitszeichen"}}},{"key":"2AA1","mappings":{"default":{"default":"Verschachteltes kleiner als"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"Verschachteltes größer als"}},"category":"Sm"},{"category":"Sm","key":"2AA3","mappings":{"default":{"default":"Doppelt verschachtelt, weniger als mit Unterleiste"}}},{"key":"2AA4","mappings":{"default":{"default":"less than greater than overlay"}},"category":"Sm"},{"category":"Sm","key":"2AA5","mappings":{"default":{"default":"Größer als weniger als"}}},{"category":"Sm","key":"2AA6","mappings":{"default":{"default":"Weniger als durch Kurve geschlossen"}}},{"category":"Sm","key":"2AA7","mappings":{"default":{"default":"Größer als durch Kurve geschlossen"}}},{"category":"Sm","key":"2AA8","mappings":{"default":{"default":"Weniger als dann geschlossen durch Kurve oberhalb der gleichen Neigung"}}},{"category":"Sm","key":"2AA9","mappings":{"default":{"default":"Größer als geschlossen durch Kurve oberhalb der gleichen Neigung"}}},{"category":"Sm","key":"2AAA","mappings":{"default":{"default":"kleiner als"}}},{"category":"Sm","key":"2AAB","mappings":{"default":{"default":"Größer als"}}},{"category":"Sm","key":"2AAC","mappings":{"default":{"default":"kleiner als oder gleich"}}},{"category":"Sm","key":"2AAD","mappings":{"default":{"default":"Größer als oder gleich"}}},{"key":"2AAE","mappings":{"default":{"default":"difference between (variant"}},"category":"Sm"},{"category":"Sm","key":"2AAF","mappings":{"default":{"default":"Stellt über dem einzeiligen Gleichheitszeichen ein"}}},{"category":"Sm","key":"2AB0","mappings":{"default":{"default":"Erfolg über dem einzeiligen Gleichheitszeichen"}}},{"category":"Sm","key":"2AB1","mappings":{"default":{"default":"Vorangehende Single-Line ist nicht gleich"}}},{"category":"Sm","key":"2AB2","mappings":{"default":{"default":"Erfolg über Single-Line nicht gleich"}}},{"category":"Sm","key":"2AB3","mappings":{"default":{"default":"Vorangegangenes Gleichheitszeichen"}}},{"category":"Sm","key":"2AB4","mappings":{"default":{"default":"Erfolgreich über Gleichheitszeichen"}}},{"key":"2AB5","mappings":{"default":{"default":"precedes but not equal to"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"succeeds but not equal to"}},"category":"Sm"},{"category":"Sm","key":"2AB7","mappings":{"default":{"default":"Vorangegangenes fast gleich zu"}}},{"category":"Sm","key":"2AB8","mappings":{"default":{"default":"Erreicht über fast gleich viel"}}},{"category":"Sm","key":"2AB9","mappings":{"default":{"default":"Vorangegangene nicht annähernd gleich"}}},{"category":"Sm","key":"2ABA","mappings":{"default":{"default":"Erreicht oben nicht annähernd gleich"}}},{"category":"Sm","key":"2ABB","mappings":{"default":{"default":"Doppelter Vorgänger"}}},{"category":"Sm","key":"2ABC","mappings":{"default":{"default":"Doppelter Erfolg"}}},{"category":"Sm","key":"2ABD","mappings":{"default":{"default":"Teilmenge mit Punkt"}}},{"category":"Sm","key":"2ABE","mappings":{"default":{"default":"Superset mit Punkt"}}},{"category":"Sm","key":"2ABF","mappings":{"default":{"default":"Teilmenge mit Pluszeichen unten"}}},{"category":"Sm","key":"2AC0","mappings":{"default":{"default":"Superset mit Pluszeichen unten"}}},{"category":"Sm","key":"2AC1","mappings":{"default":{"default":"Teilmenge mit Multiplikationszeichen unten"}}},{"category":"Sm","key":"2AC2","mappings":{"default":{"default":"Superset mit Multiplikationszeichen unten"}}},{"category":"Sm","key":"2AC3","mappings":{"default":{"default":"Teilmenge oder gleich mit dem obigen Punkt"}}},{"category":"Sm","key":"2AC4","mappings":{"default":{"default":"Superset von oder gleich mit Punkt oben"}}},{"category":"Sm","key":"2AC5","mappings":{"default":{"default":"Teilmenge des obigen Gleichheitszeichens"}}},{"category":"Sm","key":"2AC6","mappings":{"default":{"default":"Superset des obigen Gleichheitszeichens"}}},{"key":"2AC7","mappings":{"default":{"default":"approximate subset of"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"approximate superset of"}},"category":"Sm"},{"category":"Sm","key":"2AC9","mappings":{"default":{"default":"Teilmenge von oben fast gleich"}}},{"category":"Sm","key":"2ACA","mappings":{"default":{"default":"Superset von oben fast gleichwertig"}}},{"category":"Sm","key":"2ACB","mappings":{"default":{"default":"Teilmenge von oben nicht gleich"}}},{"category":"Sm","key":"2ACC","mappings":{"default":{"default":"Superset von oben nicht gleich"}}},{"category":"Sm","key":"2ACD","mappings":{"default":{"default":"Platz links Feldbetreiber geöffnet"}}},{"category":"Sm","key":"2ACE","mappings":{"default":{"default":"Rechteckige Box mit offener Box"}}},{"category":"Sm","key":"2ACF","mappings":{"default":{"default":"Geschlossener Teilsatz"}}},{"category":"Sm","key":"2AD0","mappings":{"default":{"default":"Superset geschlossen"}}},{"category":"Sm","key":"2AD1","mappings":{"default":{"default":"Geschlossene Untermenge oder gleich"}}},{"category":"Sm","key":"2AD2","mappings":{"default":{"default":"Superset geschlossen oder gleich"}}},{"key":"2AD3","mappings":{"default":{"default":"subset over superset"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"superset over subset"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"subset over subset"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"superset over superset"}},"category":"Sm"},{"category":"Sm","key":"2AD7","mappings":{"default":{"default":"Superset neben dem Subset"}}},{"category":"Sm","key":"2AD8","mappings":{"default":{"default":"Superset Neben und Joined von Dash mit Subset"}}},{"category":"Sm","key":"2AD9","mappings":{"default":{"default":"Element der Öffnung nach unten"}}},{"category":"Sm","key":"2ADA","mappings":{"default":{"default":"Heugabel mit T-Stück"}}},{"category":"Sm","key":"2ADB","mappings":{"default":{"default":"Transversalschnitt"}}},{"category":"Sm","key":"2ADC","mappings":{"default":{"default":"Gabelung"}}},{"category":"Sm","key":"2ADD","mappings":{"default":{"default":"Nicht Gabeln"}}},{"category":"Sm","key":"2ADE","mappings":{"default":{"default":"Kurzer Linker Tack"}}},{"category":"Sm","key":"2ADF","mappings":{"default":{"default":"Kurzer Down Tack"}}},{"category":"Sm","key":"2AE0","mappings":{"default":{"default":"Short Up Tack"}}},{"category":"Sm","key":"2AE1","mappings":{"default":{"default":"Rechtwinklig zu S"}}},{"category":"Sm","key":"2AE2","mappings":{"default":{"default":"Vertikales Dreifach-Drehkreuz"}}},{"category":"Sm","key":"2AE3","mappings":{"default":{"default":"Doppelter vertikaler Balken linkes Drehkreuz"}}},{"key":"2AE4","mappings":{"default":{"default":"double left turnstile vertical bar"}},"category":"Sm"},{"category":"Sm","key":"2AE5","mappings":{"default":{"default":"Doppelter vertikaler Balken Doppelter linker Drehkreuz"}}},{"category":"Sm","key":"2AE6","mappings":{"default":{"default":"Long Dash von Left Member von Double Vertical"}}},{"category":"Sm","key":"2AE7","mappings":{"default":{"default":"Short Down Tack mit Overbar"}}},{"key":"2AE8","mappings":{"default":{"default":"perpendicular over bar"}},"category":"Sm"},{"category":"Sm","key":"2AE9","mappings":{"default":{"default":"Short Up Tack Über Short Down Tack"}}},{"category":"Sm","key":"2AEA","mappings":{"default":{"default":"Double Down Tack"}}},{"category":"Sm","key":"2AEB","mappings":{"default":{"default":"Verdoppeln Sie Tack"}}},{"category":"Sm","key":"2AEC","mappings":{"default":{"default":"Doppelstrich nicht unterschreiben"}}},{"category":"Sm","key":"2AED","mappings":{"default":{"default":"Umgekehrter Doppelstrich nicht unterschrieben"}}},{"category":"Sm","key":"2AEE","mappings":{"default":{"default":"Teilt sich nicht mit umgekehrten Negationsschrägstrich"}}},{"category":"Sm","key":"2AEF","mappings":{"default":{"default":"Vertikale Linie mit Kreis oben"}}},{"category":"Sm","key":"2AF0","mappings":{"default":{"default":"Vertikale Linie mit Kreis unten"}}},{"category":"Sm","key":"2AF1","mappings":{"default":{"default":"Down Tack mit Kreis unten"}}},{"category":"Sm","key":"2AF2","mappings":{"default":{"default":"Parallel zum horizontalen Anschlag"}}},{"category":"Sm","key":"2AF3","mappings":{"default":{"default":"Parallel zu Tilde Operator"}}},{"category":"Sm","key":"2AF4","mappings":{"default":{"default":"Dreifache vertikale Balken-Binärbeziehung"}}},{"category":"Sm","key":"2AF5","mappings":{"default":{"default":"Dreifacher vertikaler Strich mit horizontalem Hub"}}},{"category":"Sm","key":"2AF6","mappings":{"default":{"default":"Triple Colon Operator"}}},{"category":"Sm","key":"2AF7","mappings":{"default":{"default":"Dreifach verschachtelt weniger als"}}},{"category":"Sm","key":"2AF8","mappings":{"default":{"default":"Dreifach verschachteltes Größeres als"}}},{"category":"Sm","key":"2AF9","mappings":{"default":{"default":"Doppellinie schräg, weniger als oder gleich"}}},{"category":"Sm","key":"2AFA","mappings":{"default":{"default":"Doppelte Linie schräg größer als oder gleich"}}},{"category":"Sm","key":"2AFB","mappings":{"default":{"default":"Dreifache Schrägstrich-Binärbeziehung"}}},{"category":"Sm","key":"2AFC","mappings":{"default":{"default":"Großer dreifacher vertikaler Barbediener"}}},{"category":"Sm","key":"2AFD","mappings":{"default":{"default":"Doppelter Schrägstrich-Operator"}}},{"category":"Sm","key":"2AFE","mappings":{"default":{"default":"Weiße vertikale Leiste"}}},{"category":"Sm","key":"2AFF","mappings":{"default":{"default":"N-Ary White Vertical Bar"}}},{"category":"Pd","key":"301C","mappings":{"default":{"default":"Wave Dash"}}},{"category":"Po","key":"FE10","mappings":{"default":{"default":"Präsentationsformular für vertikales Komma"}}},{"category":"Po","key":"FE13","mappings":{"default":{"default":"Präsentationsformular für vertikalen Doppelpunkt"}}},{"category":"Po","key":"FE14","mappings":{"default":{"default":"Präsentationsformular für vertikales Semikolon"}}},{"category":"Po","key":"FE15","mappings":{"default":{"default":"Präsentationsformular für vertikales Ausrufezeichen"}}},{"category":"Po","key":"FE16","mappings":{"default":{"default":"Präsentationsformular für vertikales Fragezeichen"}}},{"category":"Po","key":"FE19","mappings":{"default":{"default":"Präsentationsformular für vertikale horizontale Ellipsen"}}},{"category":"Po","key":"FE30","mappings":{"default":{"default":"Präsentationsformular für vertikalen Zwei-Punkt-Leader"}}},{"category":"Pd","key":"FE31","mappings":{"default":{"default":"Präsentationsformular für Vertical Em Dash"}}},{"category":"Pd","key":"FE32","mappings":{"default":{"default":"Präsentationsformular für Vertical En Dash"}}},{"category":"Pc","key":"FE33","mappings":{"default":{"default":"Präsentationsformular für Vertical Low Line"}}},{"category":"Pc","key":"FE34","mappings":{"default":{"default":"Präsentationsformular für Vertical Wavy Low Line"}}},{"category":"Po","key":"FE45","mappings":{"default":{"default":"Sesampunkt"}}},{"category":"Po","key":"FE46","mappings":{"default":{"default":"Weißer Sesam Punkt"}}},{"category":"Po","key":"FE49","mappings":{"default":{"default":"Gestrichelte Überlänge"}}},{"category":"Po","key":"FE4A","mappings":{"default":{"default":"Centreline Overline"}}},{"category":"Po","key":"FE4B","mappings":{"default":{"default":"Wellenförmige Überlänge"}}},{"category":"Po","key":"FE4C","mappings":{"default":{"default":"Doppelte Wellenlinie"}}},{"category":"Pc","key":"FE4D","mappings":{"default":{"default":"Gestrichelte Low Line"}}},{"category":"Pc","key":"FE4E","mappings":{"default":{"default":"Mittellinie Low Line"}}},{"category":"Pc","key":"FE4F","mappings":{"default":{"default":"Wellenförmige Low Line"}}},{"category":"Po","key":"FE50","mappings":{"default":{"default":"kleines Komma"}}},{"category":"Po","key":"FE52","mappings":{"default":{"default":"kleiner Punkt"}}},{"category":"Po","key":"FE54","mappings":{"default":{"default":"kleines Semikolon"}}},{"category":"Po","key":"FE55","mappings":{"default":{"default":"kleiner Doppelpunkt"}}},{"category":"Po","key":"FE56","mappings":{"default":{"default":"kleines Fragezeichen"}}},{"category":"Po","key":"FE57","mappings":{"default":{"default":"kleines Ausrufezeichen"}}},{"category":"Pd","key":"FE58","mappings":{"default":{"default":"kleiner Em Dash"}}},{"category":"Po","key":"FE5F","mappings":{"default":{"default":"kleines Nummernzeichen"}}},{"category":"Po","key":"FE60","mappings":{"default":{"default":"kleines kaufmännisches"}}},{"category":"Po","key":"FE61","mappings":{"default":{"default":"kleines Sternchen"}}},{"category":"Sm","key":"FE62","mappings":{"default":{"default":"kleines Pluszeichen"}}},{"category":"Pd","key":"FE63","mappings":{"default":{"default":"kleiner Bindestrich-Minus"}}},{"category":"Sm","key":"FE64","mappings":{"default":{"default":"kleines weniger als Zeichen"}}},{"category":"Sm","key":"FE65","mappings":{"default":{"default":"kleines Größeres als Zeichen"}}},{"category":"Sm","key":"FE66","mappings":{"default":{"default":"kleines Gleichheitszeichen"}}},{"category":"Po","key":"FE68","mappings":{"default":{"default":"kleiner umgekehrter Schrägstrich"}}},{"category":"Sc","key":"FE69","mappings":{"default":{"default":"kleines Dollarzeichen"}}},{"category":"Po","key":"FE6A","mappings":{"default":{"default":"kleines Prozentzeichen"}}},{"category":"Po","key":"FE6B","mappings":{"default":{"default":"kleine kommerzielle bei"}}},{"category":"Po","key":"FF01","mappings":{"default":{"default":"vollbreites Ausrufezeichen"}}},{"category":"Po","key":"FF02","mappings":{"default":{"default":"vollbreites Anführungszeichen"}}},{"category":"Po","key":"FF03","mappings":{"default":{"default":"vollbreites Nummernzeichen"}}},{"category":"Sc","key":"FF04","mappings":{"default":{"default":"vollbreites Dollarzeichen"}}},{"category":"Po","key":"FF05","mappings":{"default":{"default":"vollbreites Prozentzeichen"}}},{"category":"Po","key":"FF06","mappings":{"default":{"default":"vollbreites kaufmännisches und"}}},{"category":"Po","key":"FF07","mappings":{"default":{"default":"vollbreites Apostroph"}}},{"category":"Po","key":"FF0A","mappings":{"default":{"default":"vollbreiter Stern"}}},{"category":"Sm","key":"FF0B","mappings":{"default":{"default":"vollbreites Plus"}}},{"category":"Po","key":"FF0C","mappings":{"default":{"default":"vollbreites Komma"}}},{"category":"Pd","key":"FF0D","mappings":{"default":{"default":"vollbreites Minus"}}},{"category":"Po","key":"FF0E","mappings":{"default":{"default":"vollbreiter Punkt"}}},{"category":"Po","key":"FF0F","mappings":{"default":{"default":"Schrägstrich mit voller Breite"}}},{"category":"Po","key":"FF1A","mappings":{"default":{"default":"vollbreiter Doppelpunkt"}}},{"category":"Po","key":"FF1B","mappings":{"default":{"default":"vollbreites Semikolon"}}},{"category":"Sm","key":"FF1C","mappings":{"default":{"default":"Weniger als das gesamte Zeichen"}}},{"category":"Sm","key":"FF1D","mappings":{"default":{"default":"vollbreites Gleichspannungszeichen"}}},{"category":"Sm","key":"FF1E","mappings":{"default":{"default":"Fullwidth Mehr als Zeichen"}}},{"category":"Po","key":"FF1F","mappings":{"default":{"default":"vollbreites Fragezeichen"}}},{"category":"Po","key":"FF20","mappings":{"default":{"default":"Fullwidth Commercial at"}}},{"category":"Po","key":"FF3C","mappings":{"default":{"default":"Umgekehrter Schrägstrich mit voller Breite"}}},{"category":"Sk","key":"FF3E","mappings":{"default":{"default":"Circumflex-Akzent mit voller Breite"}}},{"category":"Pc","key":"FF3F","mappings":{"default":{"default":"vollbreites Low Line"}}},{"category":"Sk","key":"FF40","mappings":{"default":{"default":"vollbreiter Gravis Akzent"}}},{"category":"Sm","key":"FF5C","mappings":{"default":{"default":"vollbreites Vertikale Linie"}}},{"category":"Sm","key":"FF5E","mappings":{"default":{"default":"vollbreite Tilde"}}},{"category":"Sc","key":"FFE0","mappings":{"default":{"default":"vollbreites Cent-Zeichen"}}},{"category":"Sc","key":"FFE1","mappings":{"default":{"default":"vollbreites Pfundzeichen"}}},{"category":"Sm","key":"FFE2","mappings":{"default":{"default":"vollbreite nicht Symbol"}}},{"category":"Sk","key":"FFE3","mappings":{"default":{"default":"vollbreiter Überstrich","alternative":"vollbreites Makron"}}},{"category":"So","key":"FFE4","mappings":{"default":{"default":"vollbreite gestrichelte Linie"}}},{"category":"Sc","key":"FFE5","mappings":{"default":{"default":"vollbreites Yen-Zeichen"}}},{"category":"Sc","key":"FFE6","mappings":{"default":{"default":"vollbreites Won-Zeichen"}}},{"category":"So","key":"FFE8","mappings":{"default":{"default":"Halbbreite bildet leicht vertikal"}}},{"category":"So","key":"FFED","mappings":{"default":{"default":"Schwarzes Quadrat mit halber Breite"}}},{"category":"So","key":"FFEE","mappings":{"default":{"default":"Weißer Kreis mit halber Breite"}}}]
+,
+"de/symbols/math_whitespace.js": 
+[{"locale":"de"},{"category":"Zs","key":"0020","mappings":{"default":{"default":"Leerzeichen"}}},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"weicher Trennstrich"}},"category":"Cf"},{"category":"Zs","key":"2000","mappings":{"default":{"default":"En Quad"}}},{"category":"Zs","key":"2001","mappings":{"default":{"default":"Em Quad"}}},{"category":"Zs","key":"2002","mappings":{"default":{"default":"En Space"}}},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Zs","key":"2004","mappings":{"default":{"default":"Raum für drei Per-Em"}}},{"category":"Zs","key":"2005","mappings":{"default":{"default":"Raum für vier pro Em"}}},{"category":"Zs","key":"2006","mappings":{"default":{"default":"Six-Per-Em Space"}}},{"category":"Zs","key":"2007","mappings":{"default":{"default":"Raum darstellen"}}},{"category":"Zs","key":"2008","mappings":{"default":{"default":"Interpunktionsraum"}}},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"200C","mappings":{"default":{"default":"Nullbreite ohne Joiner"}}},{"category":"Cf","key":"200D","mappings":{"default":{"default":"Zero Width Joiner"}}},{"category":"Cf","key":"200E","mappings":{"default":{"default":"Markierung von links nach rechts"}}},{"category":"Cf","key":"200F","mappings":{"default":{"default":"Markierung von rechts nach links"}}},{"category":"Zl","key":"2028","mappings":{"default":{"default":"Trennzeichen"}}},{"category":"Zp","key":"2029","mappings":{"default":{"default":"Absatztrennzeichen"}}},{"category":"Cf","key":"202A","mappings":{"default":{"default":"Einbetten von links nach rechts"}}},{"category":"Cf","key":"202B","mappings":{"default":{"default":"Einbetten von rechts nach links"}}},{"category":"Cf","key":"202C","mappings":{"default":{"default":"Pop Richtungsformatierung"}}},{"category":"Cf","key":"202D","mappings":{"default":{"default":"Von links nach rechts überschreiben"}}},{"category":"Cf","key":"202E","mappings":{"default":{"default":"Von rechts nach links überschreiben"}}},{"category":"Zs","key":"202F","mappings":{"default":{"default":"Schmaler No-Break-Bereich"}}},{"key":"205F","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Cf","key":"2060","mappings":{"default":{"default":"Word Joiner"}}},{"key":"2061","mappings":{"default":{"default":"von"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":" "}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"2064","mappings":{"default":{"default":"Unsichtbares Plus"}}},{"category":"Cf","key":"206A","mappings":{"default":{"default":"Symmetrisches Austauschen verhindern"}}},{"category":"Cf","key":"206B","mappings":{"default":{"default":"Aktivieren Sie das symmetrische Austauschen"}}},{"category":"Cf","key":"206E","mappings":{"default":{"default":"Nationale Ziffernformen"}}},{"category":"Cf","key":"206F","mappings":{"default":{"default":"Nominale Ziffernformen"}}},{"category":"Cf","key":"FEFF","mappings":{"default":{"default":"Nullbreite Leerzeichen"}}},{"category":"Cf","key":"FFF9","mappings":{"default":{"default":"Interlinearer Anmerkungsanker"}}},{"category":"Cf","key":"FFFA","mappings":{"default":{"default":"Separator für interlineare Anmerkungen"}}},{"category":"Cf","key":"FFFB","mappings":{"default":{"default":"Interlinear Annotation Terminator"}}}]
+,
+"de/symbols/other_stars.js": 
+[{"locale":"de"},{"category":"So","key":"23E8","mappings":{"default":{"default":"Dezimalexponentensymbol"}}},{"category":"So","key":"2605","mappings":{"default":{"default":"Schwarzer Stern"}}},{"category":"So","key":"2606","mappings":{"default":{"default":"weißer Stern"}}},{"category":"So","key":"26AA","mappings":{"default":{"default":"Mittlerer weißer Kreis"}}},{"category":"So","key":"26AB","mappings":{"default":{"default":"Mittlerer schwarzer Kreis"}}},{"category":"So","key":"2705","mappings":{"default":{"default":"Weißes schweres Häkchen"}}},{"category":"So","key":"2713","mappings":{"default":{"default":"Häkchen"}}},{"category":"So","key":"2714","mappings":{"default":{"default":"Schweres Häkchen"}}},{"category":"So","key":"2715","mappings":{"default":{"default":"Multiplikation X"}}},{"category":"So","key":"2716","mappings":{"default":{"default":"Schwere Multiplikation X"}}},{"category":"So","key":"2717","mappings":{"default":{"default":"Stimmzettel X"}}},{"category":"So","key":"2718","mappings":{"default":{"default":"Schwerer Stimmzettel X"}}},{"category":"So","key":"271B","mappings":{"default":{"default":"Center Cross öffnen"}}},{"category":"So","key":"271C","mappings":{"default":{"default":"Schweres offenes Mittelkreuz"}}},{"category":"So","key":"2720","mappings":{"default":{"default":"Malteserkreuz"}}},{"category":"So","key":"2721","mappings":{"default":{"default":"Davidstern"}}},{"category":"So","key":"2722","mappings":{"default":{"default":"Vier Teardrop-Spoked Asterisk"}}},{"category":"So","key":"2723","mappings":{"default":{"default":"Vier Ballon-Speichen-Sternchen"}}},{"category":"So","key":"2724","mappings":{"default":{"default":"Schwere Vier-Ballon-Speichen-Sternchen"}}},{"category":"So","key":"2725","mappings":{"default":{"default":"Vier Club-Spoked Asterisk"}}},{"category":"So","key":"2726","mappings":{"default":{"default":"Schwarzer vierzackiger Stern"}}},{"category":"So","key":"2727","mappings":{"default":{"default":"Weißer vierzackiger Stern"}}},{"category":"So","key":"2728","mappings":{"default":{"default":"Funkelt"}}},{"category":"So","key":"2729","mappings":{"default":{"default":"Stress umrissener weißer Stern"}}},{"category":"So","key":"272A","mappings":{"default":{"default":"Eingekreister weißer Stern"}}},{"category":"So","key":"272B","mappings":{"default":{"default":"Open Center Black Star"}}},{"category":"So","key":"272C","mappings":{"default":{"default":"Schwarzer Center White Star"}}},{"category":"So","key":"272D","mappings":{"default":{"default":"Schwarzer Stern umrissen"}}},{"category":"So","key":"272E","mappings":{"default":{"default":"Schwerer umrissener schwarzer Stern"}}},{"category":"So","key":"272F","mappings":{"default":{"default":"Sternrad Stern"}}},{"category":"So","key":"2730","mappings":{"default":{"default":"Beschatteter weißer Stern"}}},{"category":"So","key":"2731","mappings":{"default":{"default":"Schwerer Stern"}}},{"category":"So","key":"2732","mappings":{"default":{"default":"Öffnen Sie Center Asterisk"}}},{"category":"So","key":"2733","mappings":{"default":{"default":"Acht Speichen-Sternchen"}}},{"category":"So","key":"2734","mappings":{"default":{"default":"Achtzackiger schwarzer Stern"}}},{"category":"So","key":"2735","mappings":{"default":{"default":"Achtzackiger Sternradstern"}}},{"category":"So","key":"2736","mappings":{"default":{"default":"Sechszackiger schwarzer Stern"}}},{"category":"So","key":"2739","mappings":{"default":{"default":"Zwölf schwarzer Stern"}}},{"category":"So","key":"273A","mappings":{"default":{"default":"Sechzehn Spitzen Sternchen"}}},{"category":"So","key":"273B","mappings":{"default":{"default":"Teardrop-Spoked Sternchen"}}},{"category":"So","key":"273C","mappings":{"default":{"default":"Open Center Teardrop-Spoked Sternchen"}}},{"category":"So","key":"273D","mappings":{"default":{"default":"Schwerer Tropfen-Speichen-Sternchen"}}},{"category":"So","key":"273E","mappings":{"default":{"default":"Sechs Petalled Schwarzweiss-Florette"}}},{"category":"So","key":"273F","mappings":{"default":{"default":"Schwarze Florette"}}},{"category":"So","key":"2740","mappings":{"default":{"default":"Weiße Florette"}}},{"category":"So","key":"2741","mappings":{"default":{"default":"Acht Petalled umrissene schwarze Florette"}}},{"category":"So","key":"2742","mappings":{"default":{"default":"Eingekreistes offenes Zentrum Achtstern"}}},{"category":"So","key":"2743","mappings":{"default":{"default":"Schweres, tropfenbesetztes Nadelrad-Sternchen"}}},{"category":"So","key":"2744","mappings":{"default":{"default":"Schneeflocke"}}},{"category":"So","key":"2745","mappings":{"default":{"default":"Feste Trifoliate-Schneeflocke"}}},{"category":"So","key":"2746","mappings":{"default":{"default":"Schwere Chevron-Schneeflocke"}}},{"category":"So","key":"2747","mappings":{"default":{"default":"Funkeln"}}},{"category":"So","key":"2748","mappings":{"default":{"default":"Schweres Funkeln"}}},{"category":"So","key":"2749","mappings":{"default":{"default":"Ballon-Speichen-Sternchen"}}},{"category":"So","key":"274A","mappings":{"default":{"default":"Acht Teardrop-Spoked Propeller Sternchen"}}},{"category":"So","key":"274B","mappings":{"default":{"default":"Schwere Acht Teardrop-Spoked Propeller Sternchen"}}},{"category":"So","key":"274C","mappings":{"default":{"default":"Cross Mark"}}},{"category":"So","key":"274D","mappings":{"default":{"default":"Beschatteter weißer Kreis"}}}]
+,
+"de/units/energy.js": 
+[{"locale":"de"},{"key":"W","mappings":{"default":{"default":"Watt"}},"category":"energy","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"Kilowatt"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"Milliwatt"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"Kilowattstunde"}},"key":"kwh","names":["kwh","kWh"]},{"key":"J","mappings":{"default":{"default":"Joule","plural":"Joules"}},"category":"energy","names":["J"]},{"key":"N","mappings":{"default":{"default":"Newton"}},"category":"energy","names":["N"]},{"key":"A","mappings":{"default":{"default":"Ampere"}},"category":"energy","names":["A"]},{"key":"V","mappings":{"default":{"default":"Volt"}},"category":"energy","names":["V"]},{"category":"energy","mappings":{"default":{"default":"Mikroohm"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"Milliohm"}},"key":"mΩ","names":["mΩ"]},{"key":"Ω","mappings":{"default":{"default":"Ohm"}},"category":"energy","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"Kiloohm"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"Megaohm"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"Gigaohm"}},"key":"GΩ","names":["GΩ"]}]
+,
+"de/units/length.js": 
+[{"locale":"de"},{"key":"mm","names":["mm"],"mappings":{"default":{"default":"Millimeter"}},"category":"length"},{"key":"cm","names":["cm"],"mappings":{"default":{"default":"Zentimeter"}},"category":"length"},{"key":"m","mappings":{"default":{"default":"Meter"}},"category":"length","names":["m"]},{"category":"length","mappings":{"default":{"default":"Kilometer"}},"key":"km","names":["km"]},{"key":"ft","mappings":{"default":{"default":"Fuß"}},"category":"length","names":["ft","ft."]},{"key":"in","mappings":{"default":{"default":"Zoll"}},"category":"length","names":["in","in."]},{"key":"mi","mappings":{"default":{"plural":"Meilen","default":"Meile"}},"category":"length","names":["mi","mi."]},{"key":"yd","mappings":{"default":{"plural":"Yards","default":"Yard"}},"category":"length","names":["yd","yd."]},{"key":"n.m.","names":["n.m."],"mappings":{"default":{"default":"nautische Meile"}},"category":"length"}]
+,
+"de/units/memory.js": 
+[{"locale":"de"},{"key":"b","mappings":{"default":{"plural":"Bits","default":"Bit"}},"category":"memory","names":["b"]},{"key":"B","mappings":{"default":{"plural":"Bytes","default":"Byte"}},"category":"memory","names":["B"]},{"key":"KB","mappings":{"default":{"plural":"Kilobytes","default":"Kilobyte"}},"category":"memory","names":["KB"]},{"key":"MB","mappings":{"default":{"plural":"Megabytes","default":"Megabyte"}},"category":"memory","names":["MB"]},{"key":"GB","mappings":{"default":{"plural":"Gigabytes","default":"Gigabyte"}},"category":"memory","names":["GB"]},{"key":"TB","mappings":{"default":{"plural":"Terabytes","default":"Terabyte"}},"category":"memory","names":["TB"]}]
+,
+"de/units/other.js": 
+[{"locale":"de"},{"key":"ha","mappings":{"default":{"default":"Hektar"}},"category":"other","names":["ha"]},{"category":"other","mappings":{"default":{"default":"Dutzend"}},"key":"doz","names":["doz","doz.","dz","dz."]}]
+,
+"de/units/speed.js": 
+[{"locale":"de"},{"category":"speed","mappings":{"default":{"default":"Knoten"}},"key":"kt","names":["kt","kt."]},{"key":"mph","mappings":{"default":{"default":"Meilen pro Stunde","singular":"Meile pro Stunde"}},"category":"speed","names":["mph"]},{"key":"kmh","mappings":{"default":{"default":"Kilometer pro Stunde"}},"category":"speed","names":["kmh"]},{"key":"rpm","mappings":{"default":{"default":"Umdrehungen pro Minute","singular":"Umdrehung pro Minute"}},"category":"speed","names":["rpm"]}]
+,
+"de/units/temperature.js": 
+[{"locale":"de"},{"key":"F","mappings":{"default":{"default":"Farad"}},"category":"temperature","names":["F","F.","°F"]},{"key":"C","mappings":{"default":{"default":"Celsius"}},"category":"temperature","names":["C","°C"]},{"key":"K","mappings":{"default":{"default":"Kelvin"}},"category":"temperature","names":["K","°K"]}]
+,
+"de/units/time.js": 
+[{"locale":"de"},{"category":"time","mappings":{"default":{"default":"Nanosekunde"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"Microsekunde"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"Millisekunde"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"Sekunde"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"Minute"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"Stunde"}},"key":"h","names":["h","hr"]}]
+,
+"de/units/volume.js": 
+[{"locale":"de"},{"category":"volume","mappings":{"default":{"default":"Kubik"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"Kubikinch"}},"key":"cu inch","names":["cu in","cu. in."]},{"category":"volume","mappings":{"default":{"default":"Kubikfuß"}},"key":"cu ft","names":["cu ft","cu. ft."]},{"category":"volume","mappings":{"default":{"default":"Kubikyard"}},"key":"cu yd","names":["cu yd","cu. yd."]},{"key":"bbl","mappings":{"default":{"default":"Fass"}},"category":"volume","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"Fluid ounce"}},"key":"fl. oz.","names":["fl. oz.","fl oz"]},{"key":"gal","mappings":{"default":{"plural":"Gallonen","default":"Gallone"}},"category":"volume","names":["gal","gal."]},{"key":"pt","mappings":{"default":{"default":"Pint"}},"category":"volume","names":["pt","pt."]},{"key":"qt","mappings":{"default":{"plural":"Quarts","default":"Quart"}},"category":"volume","names":["qt","qt."]},{"key":"tbsp","mappings":{"default":{"default":"Esslöffel"}},"category":"volume","names":["tbsp","tbsp.","Tbsp","Tbsp."]},{"key":"tsp","mappings":{"default":{"default":"Teelöffel"}},"category":"volume","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"Kubikzentimeter"}},"key":"cc","names":["cc","ccm"]},{"category":"volume","mappings":{"default":{"default":"Kiloliter"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"Liter"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"Milliliter"}},"key":"ml","names":["ml"]}]
+,
+"de/units/weight.js": 
+[{"locale":"de"},{"key":"lb","mappings":{"default":{"default":"Pfund"}},"category":"weight","names":["lb","lb."]},{"key":"oz","mappings":{"default":{"plural":"Unzen","default":"Unze"}},"category":"weight","names":["oz","oz."]},{"category":"weight","mappings":{"default":{"default":"Long ton"}},"key":"LT","names":["LT","L.T."]},{"key":"gr","mappings":{"default":{"default":"Gramm"}},"category":"weight","names":["g","gr"]},{"category":"weight","mappings":{"default":{"default":"Kilogramm"}},"key":"kg","names":["kg"]},{"category":"weight","mappings":{"default":{"default":"Mikrogramm"}},"key":"mcg","names":["mcg","µg"]},{"category":"weight","mappings":{"default":{"default":"Milligramm"}},"key":"mg","names":["mg"]},{"key":"t","mappings":{"default":{"plural":"Tonnen","default":"Tonne"}},"category":"weight","names":["t","T"]}]
+}
+
diff --git a/extensions/a11y/mathmaps/en.js b/extensions/a11y/mathmaps/en.js
new file mode 100644
index 0000000000..2cf742889b
--- /dev/null
+++ b/extensions/a11y/mathmaps/en.js
@@ -0,0 +1,110 @@
+{
+"en/functions/algebra.js": 
+[{"locale":"en"},{"category":"Algebra","mappings":{"default":{"default":"degree"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"determinant"},"mathspeak":{"default":"det"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphism"},"mathspeak":{"default":"hom"},"clearspeak":{"default":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"kernel"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]
+,
+"en/functions/elementary.js": 
+[{"locale":"en"},{"category":"Logarithm","mappings":{"default":{"default":"log"}},"key":"log","names":["log"]},{"category":"Logarithm","mappings":{"default":{"default":"natural log"},"mathspeak":{"default":"ln"},"clearspeak":{"default":"l n","Log_LnAsNaturalLog":"natural log"}},"key":"ln","names":["ln"]},{"category":"Logarithm","mappings":{"default":{"default":"log base 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"exponential"},"mathspeak":{"default":"exp"},"clearspeak":{"default":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"greatest common divisor"},"mathspeak":{"default":"gcd"},"clearspeak":{"default":"gcd"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"least common multiple"},"mathspeak":{"default":"lcm"},"clearspeak":{"default":"lcm"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"argument"},"mathspeak":{"default":"arg"},"clearspeak":{"default":"arg"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"imaginary part"},"mathspeak":{"default":"im"},"clearspeak":{"default":"imaginary"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"real part"},"mathspeak":{"default":"re"},"clearspeak":{"default":"real"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"infimum"},"mathspeak":{"default":"inf"},"clearspeak":{"default":"inf"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"limit"},"mathspeak":{"default":"limit"},"clearspeak":{"default":"lim"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"limit inferior"},"mathspeak":{"default":"liminf"},"clearspeak":{"default":"liminf"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"limit superior"},"mathspeak":{"default":"limsup"},"clearspeak":{"default":"limsup"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"maximum"},"mathspeak":{"default":"max"},"clearspeak":{"default":"max"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"minimum"},"mathspeak":{"default":"min"},"clearspeak":{"default":"min"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"supremum"},"mathspeak":{"default":"sup"},"clearspeak":{"default":"sup"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"colimit"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projective limit"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"modulo"},"mathspeak":{"default":"mod"},"clearspeak":{"default":"mod"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"probability"}},"key":"Pr","names":["Pr"]}]
+,
+"en/functions/hyperbolic.js": 
+[{"locale":"en"},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosine"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cotangent"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosecant"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic secant"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic sine"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic tangent"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic cosine"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic cotangent"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic cosecant"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic secant"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic sine"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic tangent"}},"key":"artanh","names":["artanh","arctanh"]}]
+,
+"en/functions/trigonometry.js": 
+[{"locale":"en"},{"category":"Trigonometric","mappings":{"default":{"default":"cosine"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"cotangent"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"cosecant"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"secant"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"sine"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"tangent"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosine"},"clearspeak":{"Trig_TrigInverse":"cosine inverse"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cotangent"},"clearspeak":{"Trig_TrigInverse":"cotangent inverse"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosecant"},"clearspeak":{"Trig_TrigInverse":"cosecant inverse"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc secant"},"clearspeak":{"Trig_TrigInverse":"secant inverse"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc sine"},"clearspeak":{"Trig_TrigInverse":"sine inverse"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc tangent"},"clearspeak":{"Trig_TrigInverse":"tangent inverse"}},"key":"arctan","names":["arctan"]}]
+,
+"en/symbols/digits_rest.js": 
+[{"locale":"en"},{"category":"No","mappings":{"default":{"default":"squared"},"mathspeak":{"default":"squared"},"clearspeak":{"default":"squared"}},"key":"00B2"},{"category":"No","mappings":{"default":{"default":"cubed"},"mathspeak":{"default":"cubed"},"clearspeak":{"default":"cubed"}},"key":"00B3"},{"category":"No","mappings":{"default":{"default":"one quarter"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"one half"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"three quarters"}},"key":"00BE"},{"category":"No","mappings":{"default":{"default":"one seventh"}},"key":"2150"},{"category":"No","mappings":{"default":{"default":"one ninth"}},"key":"2151"},{"category":"No","mappings":{"default":{"default":"one tenth"}},"key":"2152"},{"category":"No","mappings":{"default":{"default":"one third"}},"key":"2153"},{"category":"No","mappings":{"default":{"default":"two thirds"}},"key":"2154"},{"category":"No","mappings":{"default":{"default":"one fifth"}},"key":"2155"},{"category":"No","mappings":{"default":{"default":"two fifths"}},"key":"2156"},{"category":"No","mappings":{"default":{"default":"three fifths"}},"key":"2157"},{"category":"No","mappings":{"default":{"default":"four fifths"}},"key":"2158"},{"category":"No","mappings":{"default":{"default":"one sixth"}},"key":"2159"},{"category":"No","mappings":{"default":{"default":"five sixths"}},"key":"215A"},{"category":"No","mappings":{"default":{"default":"one eighth"}},"key":"215B"},{"category":"No","mappings":{"default":{"default":"three eighths"}},"key":"215C"},{"category":"No","mappings":{"default":{"default":"five eighths"}},"key":"215D"},{"category":"No","mappings":{"default":{"default":"seven eighths"}},"key":"215E"},{"category":"No","mappings":{"default":{"default":"numerator one"}},"key":"215F"},{"category":"No","mappings":{"default":{"default":"zero thirds"}},"key":"2189"},{"category":"No","mappings":{"default":{"default":"circled ten on black square"}},"key":"3248"},{"category":"No","mappings":{"default":{"default":"circled twenty on black square"}},"key":"3249"},{"category":"No","mappings":{"default":{"default":"circled thirty on black square"}},"key":"324A"},{"category":"No","mappings":{"default":{"default":"circled forty on black square"}},"key":"324B"},{"category":"No","mappings":{"default":{"default":"circled fifty on black square"}},"key":"324C"},{"category":"No","mappings":{"default":{"default":"circled sixty on black square"}},"key":"324D"},{"category":"No","mappings":{"default":{"default":"circled seventy on black square"}},"key":"324E"},{"category":"No","mappings":{"default":{"default":"circled eighty on black square"}},"key":"324F"}]
+,
+"en/symbols/greek-rest.js": 
+[{"locale":"en"},{"category":"Lu","key":"0394","mappings":{"clearspeak":{"default":"triangle","TriangleSymbol_Delta":"cap Delta"}}}]
+,
+"en/symbols/greek-scripts.js": 
+[{"locale":"en"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"small cap Gamma"},"mathspeak":{"default":"small upper Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"small cap Lamda"},"mathspeak":{"default":"small upper Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"small cap Pi"},"mathspeak":{"default":"small upper Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"small cap Rho"},"mathspeak":{"default":"small upper Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"small cap Psi"},"mathspeak":{"default":"small upper Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"superscript gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"superscript phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"subscript beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"subscript gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"subscript rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"subscript phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"subscript chi"}}}]
+,
+"en/symbols/greek-symbols.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"beta"}},"key":"03D0"},{"category":"Ll","mappings":{"default":{"default":"kai"}},"key":"03D7"},{"category":"Sm","mappings":{"default":{"default":"reversed epsilon"}},"key":"03F6"},{"category":"Lu","mappings":{"default":{"default":"bold cap Digamma"},"mathspeak":{"default":"bold upper Digamma"}},"key":"1D7CA"},{"category":"Ll","mappings":{"default":{"default":"bold digamma"}},"key":"1D7CB"}]
+,
+"en/symbols/hebrew_letters.js": 
+[{"locale":"en"},{"category":"Lo","mappings":{"default":{"default":"first transfinite cardinal","alternative":"alef"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"second transfinite cardinal","alternative":"bet"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"third transfinite cardinal","alternative":"gimel"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"fourth transfinite cardinal","alternative":"dalet"}},"key":"2138"}]
+,
+"en/symbols/latin-lower-double-accent.js": 
+[{"locale":"en"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u double overdot overbar"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u double overdot acute"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u double overdot caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u double overdot grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a double overdot overbar"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a overdot overbar"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o ogonek overbar"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a ring above acute"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o double overdot overbar"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o tilde overbar"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o overdot overbar"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"c cedilla acute"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"e overbar grave"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"e overbar acute"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"e cedilla breve"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"i double overdot acute"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"l underdot overbar"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"o tilde acute"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"o tilde double overdot"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"o overbar grave"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"o overbar acute"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"r underdot overbar"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"s acute overdot"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"s caron overdot"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"s underdot overdot"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"u tilde acute"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"u overbar double overdot"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"a hat acute"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"a hat grave"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"a hat hook above"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"a hat tilde"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"a hat underdot"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"a breve acute"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"a breve grave"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"a breve hook above"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"a breve tilde"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"a breve underdot"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"e hat acute"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"e hat grave"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"e hat hook above"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"e hat tilde"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"e hat underdot"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"o hat acute"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"o hat grave"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"o hat hook above"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"o hat tilde"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"o hat underdot"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"o acute prime"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"o grave prime"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"o hook above prime"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"o tilde prime"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"o underdot prime"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"u acute prime"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"u grave prime"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"u hook above prime"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"u tilde prime"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"u underdot prime"}}}]
+,
+"en/symbols/latin-lower-phonetic.js": 
+[{"locale":"en"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"o with stroke"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"d with stroke"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"h with stroke"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"l with stroke"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"t with stroke"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b with stroke"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"lambda with stroke"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z with stroke"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"latin letter inverted glottal stop with stroke"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g with stroke"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o with stroke and acute"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c with stroke"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"e with stroke"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j with stroke"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"r with stroke"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y with stroke"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"dotless j with stroke"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i with stroke"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"dotless j with stroke and hook"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"latin letter glottal stop with stroke"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"latin letter reversed glottal stop with stroke"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"sideways o with stroke"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota with stroke"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p with stroke"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon with stroke"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"long s with diagonal stroke"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"long s with high stroke"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"turned delta"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"long s with dot above"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta"}}},{"category":"Ll","key":"0138","mappings":{"default":{"default":"kra"}}},{"category":"Ll","key":"017F","mappings":{"default":{"default":"long s"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b with topbar"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"tone six"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c with hook"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d with topbar"}}},{"category":"Ll","key":"0192","mappings":{"default":{"default":"f with hook"}}},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k with hook"}}},{"category":"Ll","key":"019A","mappings":{"default":{"default":"l with bar"}}},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n with long right leg"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o with horn"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p with hook"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"tone two"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"latin letter reversed esh loop"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t with palatal hook"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t with hook"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u with horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y with hook"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"ezh reversed"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ezh with tail"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"tone five"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"latin letter wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz with caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae with macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ezh with caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lezh"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"ezh with curl"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"dezh digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"turned e"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae with acute"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d with curl"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z with hook"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l with curl"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n with curl"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t with curl"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"db digraph"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"qp digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s with swash tail"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z with swash tail"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"glottal stop"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q with hook tail"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"turned a"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"turned alpha"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b with hook"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"open o"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c with curl"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d with tail"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d with hook"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"reversed e"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"schwa with hook"}}},{"category":"Ll","key":"025B","mappings":{"default":{"default":"open e"}}},{"category":"Ll","key":"025C","mappings":{"default":{"default":"reversed open e"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"reversed open e with hook"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"closed reversed open e"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g with hook"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"script g"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"rams horn"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"turned h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h with hook"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"heng with hook"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l with middle tilde"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l with belt"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"l with retroflex hook"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"turned m"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"turned m with long leg"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m with hook"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n with left hook"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n with retroflex hook"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"barred o"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"closed omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"turned r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"turned r with long leg"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"turned r with hook"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"r with long leg"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"r with tail"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"r with fishhook"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"reversed r with fishhook"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"s with hook"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"squat reversed esh"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"esh with curl"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"turned t"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"t with retroflex hook"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"u bar"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"v with hook"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"turned v"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"turned w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"turned y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"z with retroflex hook"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z with curl"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"latin letter pharyngeal voiced fricative"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"latin letter inverted glottal stop"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"latin letter stretched c"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"latin letter bilabial click"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"closed open e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"turned k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q with hook"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"dz digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"dz digraph with curl"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"ts digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"tesh digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"tc digraph with curl"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"feng digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"ls digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"lz digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"latin letter bilabial percussive"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"latin letter bidental percussive"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"turned h with fishhook"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"turned h with fishhook and tail"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"turned ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"turned open e"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"turned i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"sideways o"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"sideways open o"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"turned oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"top half o"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"bottom half o"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"sideways u"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"sideways diaeresized u"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"sideways turned m"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"latin letter voiced laryngeal spirant"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"latin letter ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"b with middle tilde"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"d with middle tilde"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"f with middle tilde"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"m with middle tilde"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"n with middle tilde"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"p with middle tilde"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"r with middle tilde"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"r with fishhook and middle tilde"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"s with middle tilde"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"t with middle tilde"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z with middle tilde"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"turned g"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"insular g"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th with strikethrough"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"b with palatal hook"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"d with palatal hook"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"f with palatal hook"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"g with palatal hook"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"k with palatal hook"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"l with palatal hook"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"m with palatal hook"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"n with palatal hook"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"p with palatal hook"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"r with palatal hook"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"s with palatal hook"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"esh with palatal hook"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"v with palatal hook"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"x with palatal hook"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"z with palatal hook"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a with retroflex hook"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"alpha with retroflex hook"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"d with hook and tail"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"e with retroflex hook"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"open e with retroflex hook"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"reversed open e with retroflex hook"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"schwa with retroflex hook"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"i with retroflex hook"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"open o with retroflex hook"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"esh with retroflex hook"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"u with retroflex hook"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"ezh with retroflex hook"}}},{"category":"Ll","key":"0149","mappings":{"default":{"default":"n preceded by apostrophe"}}},{"category":"Ll","key":"014B","mappings":{"default":{"default":"eng"}}}]
+,
+"en/symbols/latin-lower-single-accent.js": 
+[{"locale":"en"},{"category":"Ll","key":"00E0","mappings":{"default":{"default":"a grave"},"mathspeak":{"default":"modifying above a with grave","brief":"mod above a with grave","sbrief":"mod above a with grave"}}},{"category":"Ll","key":"00E1","mappings":{"default":{"default":"a acute"},"mathspeak":{"default":"modifying above a with acute","brief":"mod above a with acute","sbrief":"mod above a with acute"}}},{"category":"Ll","key":"00E2","mappings":{"default":{"default":"a hat"},"mathspeak":{"default":"modifying above a with caret","brief":"mod above a with caret","sbrief":"mod above a with caret"}}},{"category":"Ll","key":"00E3","mappings":{"default":{"default":"a tilde"},"mathspeak":{"default":"a overtilde","brief":"a overtilde","sbrief":"a overtilde"}}},{"category":"Ll","key":"00E4","mappings":{"default":{"default":"a double overdot"},"mathspeak":{"default":"modifying above a with double dot","brief":"mod above a with double dot","sbrief":"mod above a with double dot"}}},{"category":"Ll","key":"00E5","mappings":{"default":{"default":"a ring"},"mathspeak":{"default":"modifying above a with ring","brief":"mod above a with ring","sbrief":"mod above a with ring"}}},{"category":"Ll","key":"00E7","mappings":{"default":{"default":"c cedilla"},"mathspeak":{"default":"modifying above c with cedilla","brief":"mod above c with cedilla","sbrief":"mod above c with cedilla"}}},{"category":"Ll","key":"00E8","mappings":{"default":{"default":"e grave"},"mathspeak":{"default":"modifying above e with grave","brief":"mod above e with grave","sbrief":"mod above e with grave"}}},{"category":"Ll","key":"00E9","mappings":{"default":{"default":"e acute"},"mathspeak":{"default":"modifying above e with acute","brief":"mod above e with acute","sbrief":"mod above e with acute"}}},{"category":"Ll","key":"00EA","mappings":{"default":{"default":"e hat"},"mathspeak":{"default":"modifying above e with caret","brief":"mod above e with caret","sbrief":"mod above e with caret"}}},{"category":"Ll","key":"00EB","mappings":{"default":{"default":"e double overdot"},"mathspeak":{"default":"modifying above e with double dot","brief":"mod above e with double dot","sbrief":"mod above e with double dot"}}},{"category":"Ll","key":"00EC","mappings":{"default":{"default":"i grave"},"mathspeak":{"default":"modifying above i with grave","brief":"mod above i with grave","sbrief":"mod above i with grave"}}},{"category":"Ll","key":"00ED","mappings":{"default":{"default":"i acute"},"mathspeak":{"default":"modifying above i with acute","brief":"mod above i with acute","sbrief":"mod above i with acute"}}},{"category":"Ll","key":"00EE","mappings":{"default":{"default":"i hat"},"mathspeak":{"default":"modifying above i with caret","brief":"mod above i with caret","sbrief":"mod above i with caret"}}},{"category":"Ll","key":"00EF","mappings":{"default":{"default":"i double overdot"},"mathspeak":{"default":"modifying above i with double dot","brief":"mod above i with double dot","sbrief":"mod above i with double dot"}}},{"category":"Ll","key":"00F1","mappings":{"default":{"default":"n tilde"},"mathspeak":{"default":"n overtilde","brief":"n overtilde","sbrief":"n overtilde"}}},{"category":"Ll","key":"00F2","mappings":{"default":{"default":"o grave"},"mathspeak":{"default":"modifying above o with grave","brief":"mod above o with grave","sbrief":"mod above o with grave"}}},{"category":"Ll","key":"00F3","mappings":{"default":{"default":"o acute"},"mathspeak":{"default":"modifying above o with acute","brief":"mod above o with acute","sbrief":"mod above o with acute"}}},{"category":"Ll","key":"00F4","mappings":{"default":{"default":"o hat"},"mathspeak":{"default":"modifying above o with caret","brief":"mod above o with caret","sbrief":"mod above o with caret"}}},{"category":"Ll","key":"00F5","mappings":{"default":{"default":"o tilde"},"mathspeak":{"default":"o overtilde","brief":"o overtilde","sbrief":"o overtilde"}}},{"category":"Ll","key":"00F6","mappings":{"default":{"default":"o double overdot"},"mathspeak":{"default":"modifying above o with double dot","brief":"mod above o with double dot","sbrief":"mod above o with double dot"}}},{"category":"Ll","key":"00F9","mappings":{"default":{"default":"u grave"},"mathspeak":{"default":"modifying above u with grave","brief":"mod above u with grave","sbrief":"mod above u with grave"}}},{"category":"Ll","key":"00FA","mappings":{"default":{"default":"u acute"},"mathspeak":{"default":"modifying above u with acute","brief":"mod above u with acute","sbrief":"mod above u with acute"}}},{"category":"Ll","key":"00FB","mappings":{"default":{"default":"u hat"},"mathspeak":{"default":"modifying above u with caret","brief":"mod above u with caret","sbrief":"mod above u with caret"}}},{"category":"Ll","key":"00FC","mappings":{"default":{"default":"u double overdot"},"mathspeak":{"default":"modifying above u with double dot","brief":"mod above u with double dot","sbrief":"mod above u with double dot"}}},{"category":"Ll","key":"00FD","mappings":{"default":{"default":"y acute"},"mathspeak":{"default":"modifying above y with acute","brief":"mod above y with acute","sbrief":"mod above y with acute"}}},{"category":"Ll","key":"00FF","mappings":{"default":{"default":"y double overdot"},"mathspeak":{"default":"modifying above y with double dot","brief":"mod above y with double dot","sbrief":"mod above y with double dot"}}},{"category":"Ll","key":"0101","mappings":{"default":{"default":"a overbar"},"mathspeak":{"default":"a overbar","brief":"a overbar","sbrief":"a overbar"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"a breve"},"mathspeak":{"default":"modifying above a with breve","brief":"mod above a with breve","sbrief":"mod above a with breve"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"a ogonek"},"mathspeak":{"default":"modifying above a with ogonek","brief":"mod above a with ogonek","sbrief":"mod above a with ogonek"}}},{"category":"Ll","key":"0107","mappings":{"default":{"default":"c acute"},"mathspeak":{"default":"modifying above c with acute","brief":"mod above c with acute","sbrief":"mod above c with acute"}}},{"category":"Ll","key":"0109","mappings":{"default":{"default":"c hat"},"mathspeak":{"default":"modifying above c with caret","brief":"mod above c with caret","sbrief":"mod above c with caret"}}},{"category":"Ll","key":"010B","mappings":{"default":{"default":"c overdot"},"mathspeak":{"default":"modifying above c with dot","brief":"mod above c with dot","sbrief":"mod above c with dot"}}},{"category":"Ll","key":"010D","mappings":{"default":{"default":"c caron"},"mathspeak":{"default":"modifying above c with caron","brief":"mod above c with caron","sbrief":"mod above c with caron"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"d caron"},"mathspeak":{"default":"modifying above d with caron","brief":"mod above d with caron","sbrief":"mod above d with caron"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"e overbar"},"mathspeak":{"default":"e overbar","brief":"e overbar","sbrief":"e overbar"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e breve"},"mathspeak":{"default":"modifying above e with breve","brief":"mod above e with breve","sbrief":"mod above e with breve"}}},{"category":"Ll","key":"0117","mappings":{"default":{"default":"e overdot"},"mathspeak":{"default":"modifying above e with dot","brief":"mod above e with dot","sbrief":"mod above e with dot"}}},{"category":"Ll","key":"0119","mappings":{"default":{"default":"e ogonek"},"mathspeak":{"default":"modifying above e with ogonek","brief":"mod above e with ogonek","sbrief":"mod above e with ogonek"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"e caron"},"mathspeak":{"default":"modifying above e with caron","brief":"mod above e with caron","sbrief":"mod above e with caron"}}},{"category":"Ll","key":"011D","mappings":{"default":{"default":"g hat"},"mathspeak":{"default":"modifying above g with caret","brief":"mod above g with caret","sbrief":"mod above g with caret"}}},{"category":"Ll","key":"011F","mappings":{"default":{"default":"g breve"},"mathspeak":{"default":"modifying above g with breve","brief":"mod above g with breve","sbrief":"mod above g with breve"}}},{"category":"Ll","key":"0121","mappings":{"default":{"default":"g overdot"},"mathspeak":{"default":"modifying above g with dot","brief":"mod above g with dot","sbrief":"mod above g with dot"}}},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g cedilla"},"mathspeak":{"default":"modifying above g with cedilla","brief":"mod above g with cedilla","sbrief":"mod above g with cedilla"}}},{"category":"Ll","key":"0125","mappings":{"default":{"default":"h hat"},"mathspeak":{"default":"modifying above h with caret","brief":"mod above h with caret","sbrief":"mod above h with caret"}}},{"category":"Ll","key":"0129","mappings":{"default":{"default":"i tilde"},"mathspeak":{"default":"i overtilde","brief":"i overtilde","sbrief":"i overtilde"}}},{"category":"Ll","key":"012B","mappings":{"default":{"default":"i overbar"},"mathspeak":{"default":"i overbar","brief":"i overbar","sbrief":"i overbar"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i breve"},"mathspeak":{"default":"modifying above i with breve","brief":"mod above i with breve","sbrief":"mod above i with breve"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"i ogonek"},"mathspeak":{"default":"modifying above i with ogonek","brief":"mod above i with ogonek","sbrief":"mod above i with ogonek"}}},{"category":"Ll","key":"0131","mappings":{"default":{"default":"dotless i"},"mathspeak":{"default":"modifying above dotless i","brief":"mod above dotless i","sbrief":"mod above dotless i"}}},{"category":"Ll","key":"0135","mappings":{"default":{"default":"j hat"},"mathspeak":{"default":"modifying above j with caret","brief":"mod above j with caret","sbrief":"mod above j with caret"}}},{"category":"Ll","key":"0137","mappings":{"default":{"default":"k cedilla"},"mathspeak":{"default":"modifying above k with cedilla","brief":"mod above k with cedilla","sbrief":"mod above k with cedilla"}}},{"category":"Ll","key":"013A","mappings":{"default":{"default":"l acute"},"mathspeak":{"default":"modifying above l with acute","brief":"mod above l with acute","sbrief":"mod above l with acute"}}},{"category":"Ll","key":"013C","mappings":{"default":{"default":"l cedilla"},"mathspeak":{"default":"modifying above l with cedilla","brief":"mod above l with cedilla","sbrief":"mod above l with cedilla"}}},{"category":"Ll","key":"013E","mappings":{"default":{"default":"l caron"},"mathspeak":{"default":"modifying above l with caron","brief":"mod above l with caron","sbrief":"mod above l with caron"}}},{"category":"Ll","key":"0140","mappings":{"default":{"default":"l middle dot"},"mathspeak":{"default":"modifying above l with middle dot","brief":"mod above l with middle dot","sbrief":"mod above l with middle dot"}}},{"category":"Ll","key":"0144","mappings":{"default":{"default":"n acute"},"mathspeak":{"default":"modifying above n with acute","brief":"mod above n with acute","sbrief":"mod above n with acute"}}},{"category":"Ll","key":"0146","mappings":{"default":{"default":"n cedilla"},"mathspeak":{"default":"modifying above n with cedilla","brief":"mod above n with cedilla","sbrief":"mod above n with cedilla"}}},{"category":"Ll","key":"0148","mappings":{"default":{"default":"n caron"},"mathspeak":{"default":"modifying above n with caron","brief":"mod above n with caron","sbrief":"mod above n with caron"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"o overbar"},"mathspeak":{"default":"o overbar","brief":"o overbar","sbrief":"o overbar"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o breve"},"mathspeak":{"default":"modifying above o with breve","brief":"mod above o with breve","sbrief":"mod above o with breve"}}},{"category":"Ll","key":"0151","mappings":{"default":{"default":"o double acute"},"mathspeak":{"default":"modifying above o with double acute","brief":"mod above o with double acute","sbrief":"mod above o with double acute"}}},{"category":"Ll","key":"0155","mappings":{"default":{"default":"r acute"},"mathspeak":{"default":"modifying above r with acute","brief":"mod above r with acute","sbrief":"mod above r with acute"}}},{"category":"Ll","key":"0157","mappings":{"default":{"default":"r cedilla"},"mathspeak":{"default":"modifying above r with cedilla","brief":"mod above r with cedilla","sbrief":"mod above r with cedilla"}}},{"category":"Ll","key":"0159","mappings":{"default":{"default":"r caron"},"mathspeak":{"default":"modifying above r with caron","brief":"mod above r with caron","sbrief":"mod above r with caron"}}},{"category":"Ll","key":"015B","mappings":{"default":{"default":"s acute"},"mathspeak":{"default":"modifying above s with acute","brief":"mod above s with acute","sbrief":"mod above s with acute"}}},{"category":"Ll","key":"015D","mappings":{"default":{"default":"s hat"},"mathspeak":{"default":"modifying above s with caret","brief":"mod above s with caret","sbrief":"mod above s with caret"}}},{"category":"Ll","key":"015F","mappings":{"default":{"default":"s cedilla"},"mathspeak":{"default":"modifying above s with cedilla","brief":"mod above s with cedilla","sbrief":"mod above s with cedilla"}}},{"category":"Ll","key":"0161","mappings":{"default":{"default":"s caron"},"mathspeak":{"default":"modifying above s with caron","brief":"mod above s with caron","sbrief":"mod above s with caron"}}},{"category":"Ll","key":"0163","mappings":{"default":{"default":"t cedilla"},"mathspeak":{"default":"modifying above t with cedilla","brief":"mod above t with cedilla","sbrief":"mod above t with cedilla"}}},{"category":"Ll","key":"0165","mappings":{"default":{"default":"t caron"},"mathspeak":{"default":"modifying above t with caron","brief":"mod above t with caron","sbrief":"mod above t with caron"}}},{"category":"Ll","key":"0169","mappings":{"default":{"default":"u tilde"},"mathspeak":{"default":"u overtilde","brief":"u overtilde","sbrief":"u overtilde"}}},{"category":"Ll","key":"016B","mappings":{"default":{"default":"u overbar"},"mathspeak":{"default":"u overbar","brief":"u overbar","sbrief":"u overbar"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"u breve"},"mathspeak":{"default":"modifying above u with breve","brief":"mod above u with breve","sbrief":"mod above u with breve"}}},{"category":"Ll","key":"016F","mappings":{"default":{"default":"u ring"},"mathspeak":{"default":"modifying above u with ring","brief":"mod above u with ring","sbrief":"mod above u with ring"}}},{"category":"Ll","key":"0171","mappings":{"default":{"default":"u double acute"},"mathspeak":{"default":"modifying above u with double acute","brief":"mod above u with double acute","sbrief":"mod above u with double acute"}}},{"category":"Ll","key":"0173","mappings":{"default":{"default":"u ogonek"},"mathspeak":{"default":"modifying above u with ogonek","brief":"mod above u with ogonek","sbrief":"mod above u with ogonek"}}},{"category":"Ll","key":"0175","mappings":{"default":{"default":"w hat"},"mathspeak":{"default":"modifying above w with caret","brief":"mod above w with caret","sbrief":"mod above w with caret"}}},{"category":"Ll","key":"0177","mappings":{"default":{"default":"y hat"},"mathspeak":{"default":"modifying above y with caret","brief":"mod above y with caret","sbrief":"mod above y with caret"}}},{"category":"Ll","key":"017A","mappings":{"default":{"default":"z acute"},"mathspeak":{"default":"modifying above z with acute","brief":"mod above z with acute","sbrief":"mod above z with acute"}}},{"category":"Ll","key":"017C","mappings":{"default":{"default":"z overdot"},"mathspeak":{"default":"modifying above z with dot","brief":"mod above z with dot","sbrief":"mod above z with dot"}}},{"category":"Ll","key":"017E","mappings":{"default":{"default":"z caron"},"mathspeak":{"default":"modifying above z with caron","brief":"mod above z with caron","sbrief":"mod above z with caron"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a caron"},"mathspeak":{"default":"modifying above a with caron","brief":"mod above a with caron","sbrief":"mod above a with caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i caron"},"mathspeak":{"default":"modifying above i with caron","brief":"mod above i with caron","sbrief":"mod above i with caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o caron"},"mathspeak":{"default":"modifying above o with caron","brief":"mod above o with caron","sbrief":"mod above o with caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u caron"},"mathspeak":{"default":"modifying above u with caron","brief":"mod above u with caron","sbrief":"mod above u with caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g caron"},"mathspeak":{"default":"modifying above g with caron","brief":"mod above g with caron","sbrief":"mod above g with caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k caron"},"mathspeak":{"default":"modifying above k with caron","brief":"mod above k with caron","sbrief":"mod above k with caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o ogonek"},"mathspeak":{"default":"modifying above o with ogonek","brief":"mod above o with ogonek","sbrief":"mod above o with ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j caron"},"mathspeak":{"default":"modifying above j with caron","brief":"mod above j with caron","sbrief":"mod above j with caron"}}},{"category":"Ll","key":"01F5","mappings":{"default":{"default":"g acute"},"mathspeak":{"default":"modifying above g with acute","brief":"mod above g with acute","sbrief":"mod above g with acute"}}},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n grave"},"mathspeak":{"default":"modifying above n with grave","brief":"mod above n with grave","sbrief":"mod above n with grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a double grave"},"mathspeak":{"default":"modifying above a with double grave","brief":"mod above a with double grave","sbrief":"mod above a with double grave"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a inverted breve"},"mathspeak":{"default":"modifying above a with inverted breve","brief":"mod above a with inverted breve","sbrief":"mod above a with inverted breve"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e double grave"},"mathspeak":{"default":"modifying above e with double grave","brief":"mod above e with double grave","sbrief":"mod above e with double grave"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e inverted breve"},"mathspeak":{"default":"modifying above e with inverted breve","brief":"mod above e with inverted breve","sbrief":"mod above e with inverted breve"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i double grave"},"mathspeak":{"default":"modifying above i with double grave","brief":"mod above i with double grave","sbrief":"mod above i with double grave"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i inverted breve"},"mathspeak":{"default":"modifying above i with inverted breve","brief":"mod above i with inverted breve","sbrief":"mod above i with inverted breve"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o double grave"},"mathspeak":{"default":"modifying above o with double grave","brief":"mod above o with double grave","sbrief":"mod above o with double grave"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o inverted breve"},"mathspeak":{"default":"modifying above o with inverted breve","brief":"mod above o with inverted breve","sbrief":"mod above o with inverted breve"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r double grave"},"mathspeak":{"default":"modifying above r with double grave","brief":"mod above r with double grave","sbrief":"mod above r with double grave"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r inverted breve"},"mathspeak":{"default":"modifying above r with inverted breve","brief":"mod above r with inverted breve","sbrief":"mod above r with inverted breve"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u double grave"},"mathspeak":{"default":"modifying above u with double grave","brief":"mod above u with double grave","sbrief":"mod above u with double grave"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u inverted breve"},"mathspeak":{"default":"modifying above u with inverted breve","brief":"mod above u with inverted breve","sbrief":"mod above u with inverted breve"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s comma below"},"mathspeak":{"default":"modifying below s with comma below","brief":"mod below s with comma below","sbrief":"mod below s with comma below"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t comma below"},"mathspeak":{"default":"modifying below t with comma below","brief":"mod below t with comma below","sbrief":"mod below t with comma below"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h caron"},"mathspeak":{"default":"modifying above h with caron","brief":"mod above h with caron","sbrief":"mod above h with caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"a overdot"},"mathspeak":{"default":"modifying above a with dot","brief":"mod above a with dot","sbrief":"mod above a with dot"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e cedilla"},"mathspeak":{"default":"modifying above e with cedilla","brief":"mod above e with cedilla","sbrief":"mod above e with cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o overdot"},"mathspeak":{"default":"modifying above o with dot","brief":"mod above o with dot","sbrief":"mod above o with dot"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y overbar"},"mathspeak":{"default":"y overbar","brief":"y overbar","sbrief":"y overbar"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"dotless j"},"mathspeak":{"default":"modifying above dotless j","brief":"mod above dotless j","sbrief":"mod above dotless j"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"a ring below"},"mathspeak":{"default":"modifying below a with ring below","brief":"mod below a with ring below","sbrief":"mod below a with ring below"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"b overdot"},"mathspeak":{"default":"modifying above b with dot","brief":"mod above b with dot","sbrief":"mod above b with dot"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"b underdot"},"mathspeak":{"default":"modifying below b with dot","brief":"mod below b with dot","sbrief":"mod below b with dot"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"b underbar"},"mathspeak":{"default":"b underbar","brief":"b underbar","sbrief":"b underbar"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"d overdot"},"mathspeak":{"default":"modifying above d with dot","brief":"mod above d with dot","sbrief":"mod above d with dot"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"d underdot"},"mathspeak":{"default":"modifying below d with dot","brief":"mod below d with dot","sbrief":"mod below d with dot"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"d underbar"},"mathspeak":{"default":"d underbar","brief":"d underbar","sbrief":"d underbar"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"d cedilla"},"mathspeak":{"default":"modifying above d with cedilla","brief":"mod above d with cedilla","sbrief":"mod above d with cedilla"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"d underhat"},"mathspeak":{"default":"modifying below d with caret","brief":"mod below d with caret","sbrief":"mod below d with caret"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"e underhat"},"mathspeak":{"default":"modifying below e with caret","brief":"mod below e with caret","sbrief":"mod below e with caret"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"e tilde below"},"mathspeak":{"default":"e undertilde","brief":"e undertilde","sbrief":"e undertilde"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"f overdot"},"mathspeak":{"default":"modifying above f with dot","brief":"mod above f with dot","sbrief":"mod above f with dot"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"g overbar"},"mathspeak":{"default":"g overbar","brief":"g overbar","sbrief":"g overbar"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"h overdot"},"mathspeak":{"default":"modifying above h with dot","brief":"mod above h with dot","sbrief":"mod above h with dot"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"h underdot"},"mathspeak":{"default":"modifying below h with dot","brief":"mod below h with dot","sbrief":"mod below h with dot"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"h double overdot"},"mathspeak":{"default":"modifying above h with double dot","brief":"mod above h with double dot","sbrief":"mod above h with double dot"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"h cedilla"},"mathspeak":{"default":"modifying above h with cedilla","brief":"mod above h with cedilla","sbrief":"mod above h with cedilla"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"h breve below"},"mathspeak":{"default":"modifying below h with breve below","brief":"mod below h with breve below","sbrief":"mod below h with breve below"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"i tilde below"},"mathspeak":{"default":"i undertilde","brief":"i undertilde","sbrief":"i undertilde"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"k acute"},"mathspeak":{"default":"modifying above k with acute","brief":"mod above k with acute","sbrief":"mod above k with acute"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"k underdot"},"mathspeak":{"default":"modifying below k with dot","brief":"mod below k with dot","sbrief":"mod below k with dot"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"k underbar"},"mathspeak":{"default":"k underbar","brief":"k underbar","sbrief":"k underbar"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"l underdot"},"mathspeak":{"default":"modifying below l with dot","brief":"mod below l with dot","sbrief":"mod below l with dot"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"l underbar"},"mathspeak":{"default":"l underbar","brief":"l underbar","sbrief":"l underbar"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"l underhat"},"mathspeak":{"default":"modifying below l with caret","brief":"mod below l with caret","sbrief":"mod below l with caret"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"m acute"},"mathspeak":{"default":"modifying above m with acute","brief":"mod above m with acute","sbrief":"mod above m with acute"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"m overdot"},"mathspeak":{"default":"modifying above m with dot","brief":"mod above m with dot","sbrief":"mod above m with dot"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"m underdot"},"mathspeak":{"default":"modifying below m with dot","brief":"mod below m with dot","sbrief":"mod below m with dot"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"n overdot"},"mathspeak":{"default":"modifying above n with dot","brief":"mod above n with dot","sbrief":"mod above n with dot"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"n underdot"},"mathspeak":{"default":"modifying below n with dot","brief":"mod below n with dot","sbrief":"mod below n with dot"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"n underbar"},"mathspeak":{"default":"n underbar","brief":"n underbar","sbrief":"n underbar"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"n underhat"},"mathspeak":{"default":"modifying below n with caret","brief":"mod below n with caret","sbrief":"mod below n with caret"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"p acute"},"mathspeak":{"default":"modifying above p with acute","brief":"mod above p with acute","sbrief":"mod above p with acute"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"p overdot"},"mathspeak":{"default":"modifying above p with dot","brief":"mod above p with dot","sbrief":"mod above p with dot"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"r overdot"},"mathspeak":{"default":"modifying above r with dot","brief":"mod above r with dot","sbrief":"mod above r with dot"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"r underdot"},"mathspeak":{"default":"modifying below r with dot","brief":"mod below r with dot","sbrief":"mod below r with dot"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"r underbar"},"mathspeak":{"default":"r underbar","brief":"r underbar","sbrief":"r underbar"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"s overdot"},"mathspeak":{"default":"modifying above s with dot","brief":"mod above s with dot","sbrief":"mod above s with dot"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"s underdot"},"mathspeak":{"default":"modifying below s with dot","brief":"mod below s with dot","sbrief":"mod below s with dot"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"t overdot"},"mathspeak":{"default":"modifying above t with dot","brief":"mod above t with dot","sbrief":"mod above t with dot"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"t underdot"},"mathspeak":{"default":"modifying below t with dot","brief":"mod below t with dot","sbrief":"mod below t with dot"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"t underbar"},"mathspeak":{"default":"t underbar","brief":"t underbar","sbrief":"t underbar"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"t underhat"},"mathspeak":{"default":"modifying below t with caret","brief":"mod below t with caret","sbrief":"mod below t with caret"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"u double underdot"},"mathspeak":{"default":"modifying below u with double dot","brief":"mod below u with double dot","sbrief":"mod below u with double dot"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"u tilde below"},"mathspeak":{"default":"u undertilde","brief":"u undertilde","sbrief":"u undertilde"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"u underhat"},"mathspeak":{"default":"modifying below u with caret","brief":"mod below u with caret","sbrief":"mod below u with caret"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"v tilde"},"mathspeak":{"default":"v overtilde","brief":"v overtilde","sbrief":"v overtilde"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"v underdot"},"mathspeak":{"default":"modifying below v with dot","brief":"mod below v with dot","sbrief":"mod below v with dot"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"w grave"},"mathspeak":{"default":"modifying above w with grave","brief":"mod above w with grave","sbrief":"mod above w with grave"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"w acute"},"mathspeak":{"default":"modifying above w with acute","brief":"mod above w with acute","sbrief":"mod above w with acute"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"w double overdot"},"mathspeak":{"default":"modifying above w with double dot","brief":"mod above w with double dot","sbrief":"mod above w with double dot"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"w overdot"},"mathspeak":{"default":"modifying above w with dot","brief":"mod above w with dot","sbrief":"mod above w with dot"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"w underdot"},"mathspeak":{"default":"modifying below w with dot","brief":"mod below w with dot","sbrief":"mod below w with dot"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"x overdot"},"mathspeak":{"default":"modifying above x with dot","brief":"mod above x with dot","sbrief":"mod above x with dot"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"x double overdot"},"mathspeak":{"default":"modifying above x with double dot","brief":"mod above x with double dot","sbrief":"mod above x with double dot"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"y overdot"},"mathspeak":{"default":"modifying above y with dot","brief":"mod above y with dot","sbrief":"mod above y with dot"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"z hat"},"mathspeak":{"default":"modifying above z with caret","brief":"mod above z with caret","sbrief":"mod above z with caret"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"z underdot"},"mathspeak":{"default":"modifying below z with dot","brief":"mod below z with dot","sbrief":"mod below z with dot"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"z underbar"},"mathspeak":{"default":"z underbar","brief":"z underbar","sbrief":"z underbar"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"h underbar"},"mathspeak":{"default":"h underbar","brief":"h underbar","sbrief":"h underbar"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"t double overdot"},"mathspeak":{"default":"modifying above t with double dot","brief":"mod above t with double dot","sbrief":"mod above t with double dot"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"w ring"},"mathspeak":{"default":"modifying above w with ring","brief":"mod above w with ring","sbrief":"mod above w with ring"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"y ring"},"mathspeak":{"default":"modifying above y with ring","brief":"mod above y with ring","sbrief":"mod above y with ring"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"a right half ring"},"mathspeak":{"default":"modifying above a with right half ring","brief":"mod above a with right half ring","sbrief":"mod above a with right half ring"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"a underdot"},"mathspeak":{"default":"modifying below a with dot","brief":"mod below a with dot","sbrief":"mod below a with dot"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"a hook"},"mathspeak":{"default":"modifying above a with hook","brief":"mod above a with hook","sbrief":"mod above a with hook"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"e underdot"},"mathspeak":{"default":"modifying below e with dot","brief":"mod below e with dot","sbrief":"mod below e with dot"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"e hook"},"mathspeak":{"default":"modifying above e with hook","brief":"mod above e with hook","sbrief":"mod above e with hook"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"e tilde"},"mathspeak":{"default":"e overtilde","brief":"e overtilde","sbrief":"e overtilde"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"i hook"},"mathspeak":{"default":"modifying above i with hook","brief":"mod above i with hook","sbrief":"mod above i with hook"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"i underdot"},"mathspeak":{"default":"modifying below i with dot","brief":"mod below i with dot","sbrief":"mod below i with dot"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"o underdot"},"mathspeak":{"default":"modifying below o with dot","brief":"mod below o with dot","sbrief":"mod below o with dot"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"o hook"},"mathspeak":{"default":"modifying above o with hook","brief":"mod above o with hook","sbrief":"mod above o with hook"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"u underdot"},"mathspeak":{"default":"modifying below u with dot","brief":"mod below u with dot","sbrief":"mod below u with dot"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"u hook"},"mathspeak":{"default":"modifying above u with hook","brief":"mod above u with hook","sbrief":"mod above u with hook"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"y grave"},"mathspeak":{"default":"modifying above y with grave","brief":"mod above y with grave","sbrief":"mod above y with grave"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"y underdot"},"mathspeak":{"default":"modifying below y with dot","brief":"mod below y with dot","sbrief":"mod below y with dot"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"y hook"},"mathspeak":{"default":"modifying above y with hook","brief":"mod above y with hook","sbrief":"mod above y with hook"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"y tilde"},"mathspeak":{"default":"y overtilde","brief":"y overtilde","sbrief":"y overtilde"}}}]
+,
+"en/symbols/latin-rest.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"italic h","physics":"planck constant"}},"key":"210E"},{"category":"Mn","key":"0363","mappings":{"default":{"default":"combining a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"combining e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"combining i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"combining o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"combining u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"combining c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"combining d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"combining h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"combining m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"combining r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"combining t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"combining v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"combining x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"subscript i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"subscript r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"subscript u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"subscript v"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"combining r below"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"combining flattened open a above"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"combining ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"combining ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"combining av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"combining c cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"combining insular d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"combining eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"combining g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"combining small cap G"},"mathspeak":{"default":"combining small upper G"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"combining k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"combining l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"combining small cap L"},"mathspeak":{"default":"combining small upper L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"combining small cap M"},"mathspeak":{"default":"combining small upper M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"combining n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"combining small cap N"},"mathspeak":{"default":"combining small upper N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"combining small cap R"},"mathspeak":{"default":"combining small upper R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"combining r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"combining s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"combining long s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"combining z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"superscript i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"superscript n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"subscript a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"subscript e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"subscript o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"subscript x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"subscript schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"subscript h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"subscript k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"subscript l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"subscript m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"subscript n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"subscript p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"subscript s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"subscript t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"subscript j"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"tortoise shell bracketed cap S"},"mathspeak":{"default":"tortoise shell bracketed upper S"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"circled italic cap C"},"mathspeak":{"default":"circled italic upper C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"circled italic cap R"},"mathspeak":{"default":"circled italic upper R"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"crossed negative squared cap P"},"mathspeak":{"default":"crossed negative squared upper P"}}}]
+,
+"en/symbols/latin-upper-double-accent.js": 
+[{"locale":"en"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"cap U double overdot overbar"},"mathspeak":{"default":"upper U double overdot overbar"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"cap U double overdot acute"},"mathspeak":{"default":"upper U double overdot acute"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"cap U double overdot caron"},"mathspeak":{"default":"upper U double overdot caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"cap U double overdot grave"},"mathspeak":{"default":"upper U double overdot grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"cap A double overdot overbar"},"mathspeak":{"default":"upper A double overdot overbar"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"cap A overdot overbar"},"mathspeak":{"default":"upper A overdot overbar"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"cap O ogonek overbar"},"mathspeak":{"default":"upper O ogonek overbar"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"cap A ring acute"},"mathspeak":{"default":"upper A ring acute"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"cap O double overdot overbar"},"mathspeak":{"default":"upper O double overdot overbar"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"cap O tilde overbar"},"mathspeak":{"default":"upper O tilde overbar"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"cap O overdot overbar"},"mathspeak":{"default":"upper O overdot overbar"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"cap C cedilla acute"},"mathspeak":{"default":"upper C cedilla acute"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"cap E overbar grave"},"mathspeak":{"default":"upper E overbar grave"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"cap E overbar acute"},"mathspeak":{"default":"upper E overbar acute"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"cap E cedilla breve"},"mathspeak":{"default":"upper E cedilla breve"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"cap I double overdot acute"},"mathspeak":{"default":"upper I double overdot acute"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"cap L underdot overbar"},"mathspeak":{"default":"upper L underdot overbar"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"cap O tilde acute"},"mathspeak":{"default":"upper O tilde acute"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"cap O tilde double overdot"},"mathspeak":{"default":"upper O tilde double overdot"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"cap O overbar grave"},"mathspeak":{"default":"upper O overbar grave"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"cap O overbar acute"},"mathspeak":{"default":"upper O overbar acute"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"cap R overbar underdot"},"mathspeak":{"default":"upper R overbar underdot"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"cap S acute overdot"},"mathspeak":{"default":"upper S acute overdot"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"cap S caron overdot"},"mathspeak":{"default":"upper S caron overdot"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"cap S underdot overdot"},"mathspeak":{"default":"upper S underdot overdot"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"cap U tilde acute"},"mathspeak":{"default":"upper U tilde acute"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"cap U overbar double overdot"},"mathspeak":{"default":"upper U overbar double overdot"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"cap A hat acute"},"mathspeak":{"default":"upper A hat acute"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"cap A hat grave"},"mathspeak":{"default":"upper A hat grave"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"cap A hat hook"},"mathspeak":{"default":"upper A hat hook"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"cap A hat tilde"},"mathspeak":{"default":"upper A hat tilde"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"cap A hat underdot"},"mathspeak":{"default":"upper A hat underdot"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"cap A breve acute"},"mathspeak":{"default":"upper A breve acute"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"cap A breve grave"},"mathspeak":{"default":"upper A breve grave"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"cap A breve hook"},"mathspeak":{"default":"upper A breve hook"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"cap A breve tilde"},"mathspeak":{"default":"upper A breve tilde"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"cap A breve underdot"},"mathspeak":{"default":"upper A breve underdot"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"cap E hat acute"},"mathspeak":{"default":"upper E hat acute"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"cap E hat grave"},"mathspeak":{"default":"upper E hat grave"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"cap E hat hook"},"mathspeak":{"default":"upper E hat hook"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"cap E hat tilde"},"mathspeak":{"default":"upper E hat tilde"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"cap E hat underdot"},"mathspeak":{"default":"upper E hat underdot"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"cap O hat acute"},"mathspeak":{"default":"upper O hat acute"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"cap O hat grave"},"mathspeak":{"default":"upper O hat grave"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"cap O hat hook"},"mathspeak":{"default":"upper O hat hook"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"cap O hat tilde"},"mathspeak":{"default":"upper O hat tilde"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"cap O hat underdot"},"mathspeak":{"default":"upper O hat underdot"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"cap O acute prime"},"mathspeak":{"default":"upper O acute prime"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"cap O grave prime"},"mathspeak":{"default":"upper O grave prime"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"cap O hook prime"},"mathspeak":{"default":"upper O hook prime"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"cap O tilde prime"},"mathspeak":{"default":"upper O tilde prime"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"cap O underdot prime"},"mathspeak":{"default":"upper O underdot prime"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"cap U acute prime"},"mathspeak":{"default":"upper U acute prime"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"cap U grave prime"},"mathspeak":{"default":"upper U grave prime"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"cap U hook prime"},"mathspeak":{"default":"upper U hook prime"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"cap U tilde prime"},"mathspeak":{"default":"upper U tilde prime"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"cap U underdot prime"},"mathspeak":{"default":"upper U underdot prime"}}}]
+,
+"en/symbols/latin-upper-single-accent.js": 
+[{"locale":"en"},{"category":"Lu","key":"00C0","mappings":{"default":{"default":"cap A grave"},"mathspeak":{"default":"modifying above upper A with grave","brief":"mod above upper A with grave","sbrief":"mod above upper A with grave"}}},{"category":"Lu","key":"00C1","mappings":{"default":{"default":"cap A acute"},"mathspeak":{"default":"modifying above upper A with acute","brief":"mod above upper A with acute","sbrief":"mod above upper A with acute"}}},{"category":"Lu","key":"00C2","mappings":{"default":{"default":"cap A hat"},"mathspeak":{"default":"modifying above upper A with caret","brief":"mod above upper A with caret","sbrief":"mod above upper A with caret"}}},{"category":"Lu","key":"00C3","mappings":{"default":{"default":"cap A tilde"},"mathspeak":{"default":"upper A overtilde","brief":"upper A overtilde","sbrief":"upper A overtilde"}}},{"category":"Lu","key":"00C4","mappings":{"default":{"default":"cap A double overdot"},"mathspeak":{"default":"modifying above upper A with double dot","brief":"mod above upper A with double dot","sbrief":"mod above upper A with double dot"}}},{"category":"Lu","key":"00C5","mappings":{"default":{"default":"cap A ring"},"mathspeak":{"default":"modifying above upper A with ring","brief":"mod above upper A with ring","sbrief":"mod above upper A with ring"}}},{"category":"Lu","key":"00C7","mappings":{"default":{"default":"cap C cedilla"},"mathspeak":{"default":"modifying above upper C with cedilla","brief":"mod above upper C with cedilla","sbrief":"mod above upper C with cedilla"}}},{"category":"Lu","key":"00C8","mappings":{"default":{"default":"cap E grave"},"mathspeak":{"default":"modifying above upper E with grave","brief":"mod above upper E with grave","sbrief":"mod above upper E with grave"}}},{"category":"Lu","key":"00C9","mappings":{"default":{"default":"cap E acute"},"mathspeak":{"default":"modifying above upper E with acute","brief":"mod above upper E with acute","sbrief":"mod above upper E with acute"}}},{"category":"Lu","key":"00CA","mappings":{"default":{"default":"cap E hat"},"mathspeak":{"default":"modifying above upper E with caret","brief":"mod above upper E with caret","sbrief":"mod above upper E with caret"}}},{"category":"Lu","key":"00CB","mappings":{"default":{"default":"cap E double overdot"},"mathspeak":{"default":"modifying above upper E with double dot","brief":"mod above upper E with double dot","sbrief":"mod above upper E with double dot"}}},{"category":"Lu","key":"00CC","mappings":{"default":{"default":"cap I grave"},"mathspeak":{"default":"modifying above upper I with grave","brief":"mod above upper I with grave","sbrief":"mod above upper I with grave"}}},{"category":"Lu","key":"00CD","mappings":{"default":{"default":"cap I acute"},"mathspeak":{"default":"modifying above upper I with acute","brief":"mod above upper I with acute","sbrief":"mod above upper I with acute"}}},{"category":"Lu","key":"00CE","mappings":{"default":{"default":"cap I hat"},"mathspeak":{"default":"modifying above upper I with caret","brief":"mod above upper I with caret","sbrief":"mod above upper I with caret"}}},{"category":"Lu","key":"00CF","mappings":{"default":{"default":"cap I double overdot"},"mathspeak":{"default":"modifying above upper I with double dot","brief":"mod above upper I with double dot","sbrief":"mod above upper I with double dot"}}},{"category":"Lu","key":"00D1","mappings":{"default":{"default":"cap N tilde"},"mathspeak":{"default":"upper N overtilde","brief":"upper N overtilde","sbrief":"upper N overtilde"}}},{"category":"Lu","key":"00D2","mappings":{"default":{"default":"cap O grave"},"mathspeak":{"default":"modifying above upper O with grave","brief":"mod above upper O with grave","sbrief":"mod above upper O with grave"}}},{"category":"Lu","key":"00D3","mappings":{"default":{"default":"cap O acute"},"mathspeak":{"default":"modifying above upper O with acute","brief":"mod above upper O with acute","sbrief":"mod above upper O with acute"}}},{"category":"Lu","key":"00D4","mappings":{"default":{"default":"cap O hat"},"mathspeak":{"default":"modifying above upper O with caret","brief":"mod above upper O with caret","sbrief":"mod above upper O with caret"}}},{"category":"Lu","key":"00D5","mappings":{"default":{"default":"cap O tilde"},"mathspeak":{"default":"upper O overtilde","brief":"upper O overtilde","sbrief":"upper O overtilde"}}},{"category":"Lu","key":"00D6","mappings":{"default":{"default":"cap O double overdot"},"mathspeak":{"default":"modifying above upper O with double dot","brief":"mod above upper O with double dot","sbrief":"mod above upper O with double dot"}}},{"category":"Lu","key":"00D9","mappings":{"default":{"default":"cap U grave"},"mathspeak":{"default":"modifying above upper U with grave","brief":"mod above upper U with grave","sbrief":"mod above upper U with grave"}}},{"category":"Lu","key":"00DA","mappings":{"default":{"default":"cap U acute"},"mathspeak":{"default":"modifying above upper U with acute","brief":"mod above upper U with acute","sbrief":"mod above upper U with acute"}}},{"category":"Lu","key":"00DB","mappings":{"default":{"default":"cap U hat"},"mathspeak":{"default":"modifying above upper U with caret","brief":"mod above upper U with caret","sbrief":"mod above upper U with caret"}}},{"category":"Lu","key":"00DC","mappings":{"default":{"default":"cap U double overdot"},"mathspeak":{"default":"modifying above upper U with double dot","brief":"mod above upper U with double dot","sbrief":"mod above upper U with double dot"}}},{"category":"Lu","key":"00DD","mappings":{"default":{"default":"cap Y acute"},"mathspeak":{"default":"modifying above upper Y with acute","brief":"mod above upper Y with acute","sbrief":"mod above upper Y with acute"}}},{"category":"Lu","key":"0100","mappings":{"default":{"default":"cap A overbar"},"mathspeak":{"default":"upper A overbar","brief":"upper A overbar","sbrief":"upper A overbar"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"cap A breve"},"mathspeak":{"default":"modifying above upper A with breve","brief":"mod above upper A with breve","sbrief":"mod above upper A with breve"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"cap A ogonek"},"mathspeak":{"default":"modifying above upper A with ogonek","brief":"mod above upper A with ogonek","sbrief":"mod above upper A with ogonek"}}},{"category":"Lu","key":"0106","mappings":{"default":{"default":"cap C acute"},"mathspeak":{"default":"modifying above upper C with acute","brief":"mod above upper C with acute","sbrief":"mod above upper C with acute"}}},{"category":"Lu","key":"0108","mappings":{"default":{"default":"cap C hat"},"mathspeak":{"default":"modifying above upper C with caret","brief":"mod above upper C with caret","sbrief":"mod above upper C with caret"}}},{"category":"Lu","key":"010A","mappings":{"default":{"default":"cap C overdot"},"mathspeak":{"default":"modifying above upper C with dot","brief":"mod above upper C with dot","sbrief":"mod above upper C with dot"}}},{"category":"Lu","key":"010C","mappings":{"default":{"default":"cap C caron"},"mathspeak":{"default":"modifying above upper C with caron","brief":"mod above upper C with caron","sbrief":"mod above upper C with caron"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"cap D caron"},"mathspeak":{"default":"modifying above upper D with caron","brief":"mod above upper D with caron","sbrief":"mod above upper D with caron"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"cap E overbar"},"mathspeak":{"default":"upper E overbar","brief":"upper E overbar","sbrief":"upper E overbar"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"cap E breve"},"mathspeak":{"default":"modifying above upper E with breve","brief":"mod above upper E with breve","sbrief":"mod above upper E with breve"}}},{"category":"Lu","key":"0116","mappings":{"default":{"default":"cap E overdot"},"mathspeak":{"default":"modifying above upper E with dot","brief":"mod above upper E with dot","sbrief":"mod above upper E with dot"}}},{"category":"Lu","key":"0118","mappings":{"default":{"default":"cap E ogonek"},"mathspeak":{"default":"modifying above upper E with ogonek","brief":"mod above upper E with ogonek","sbrief":"mod above upper E with ogonek"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"cap E caron"},"mathspeak":{"default":"modifying above upper E with caron","brief":"mod above upper E with caron","sbrief":"mod above upper E with caron"}}},{"category":"Lu","key":"011C","mappings":{"default":{"default":"cap G hat"},"mathspeak":{"default":"modifying above upper G with caret","brief":"mod above upper G with caret","sbrief":"mod above upper G with caret"}}},{"category":"Lu","key":"011E","mappings":{"default":{"default":"cap G breve"},"mathspeak":{"default":"modifying above upper G with breve","brief":"mod above upper G with breve","sbrief":"mod above upper G with breve"}}},{"category":"Lu","key":"0120","mappings":{"default":{"default":"cap G overdot"},"mathspeak":{"default":"modifying above upper G with dot","brief":"mod above upper G with dot","sbrief":"mod above upper G with dot"}}},{"category":"Lu","key":"0122","mappings":{"default":{"default":"cap G cedilla"},"mathspeak":{"default":"modifying above upper G with cedilla","brief":"mod above upper G with cedilla","sbrief":"mod above upper G with cedilla"}}},{"category":"Lu","key":"0124","mappings":{"default":{"default":"cap H hat"},"mathspeak":{"default":"modifying above upper H with caret","brief":"mod above upper H with caret","sbrief":"mod above upper H with caret"}}},{"category":"Lu","key":"0128","mappings":{"default":{"default":"cap I tilde"},"mathspeak":{"default":"upper I overtilde","brief":"upper I overtilde","sbrief":"upper I overtilde"}}},{"category":"Lu","key":"012A","mappings":{"default":{"default":"cap I overbar"},"mathspeak":{"default":"upper I overbar","brief":"upper I overbar","sbrief":"upper I overbar"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"cap I breve"},"mathspeak":{"default":"modifying above upper I with breve","brief":"mod above upper I with breve","sbrief":"mod above upper I with breve"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"cap I ogonek"},"mathspeak":{"default":"modifying above upper I with ogonek","brief":"mod above upper I with ogonek","sbrief":"mod above upper I with ogonek"}}},{"category":"Lu","key":"0130","mappings":{"default":{"default":"cap I overdot"},"mathspeak":{"default":"modifying above upper I with dot","brief":"mod above upper I with dot","sbrief":"mod above upper I with dot"}}},{"category":"Lu","key":"0134","mappings":{"default":{"default":"cap J hat"},"mathspeak":{"default":"modifying above upper J with caret","brief":"mod above upper J with caret","sbrief":"mod above upper J with caret"}}},{"category":"Lu","key":"0136","mappings":{"default":{"default":"cap K cedilla"},"mathspeak":{"default":"modifying above upper K with cedilla","brief":"mod above upper K with cedilla","sbrief":"mod above upper K with cedilla"}}},{"category":"Lu","key":"0139","mappings":{"default":{"default":"cap L acute"},"mathspeak":{"default":"modifying above upper L with acute","brief":"mod above upper L with acute","sbrief":"mod above upper L with acute"}}},{"category":"Lu","key":"013B","mappings":{"default":{"default":"cap L cedilla"},"mathspeak":{"default":"modifying above upper L with cedilla","brief":"mod above upper L with cedilla","sbrief":"mod above upper L with cedilla"}}},{"category":"Lu","key":"013D","mappings":{"default":{"default":"cap L caron"},"mathspeak":{"default":"modifying above upper L with caron","brief":"mod above upper L with caron","sbrief":"mod above upper L with caron"}}},{"category":"Lu","key":"013F","mappings":{"default":{"default":"cap L middle dot"},"mathspeak":{"default":"modifying above upper L with middle dot","brief":"mod above upper L with middle dot","sbrief":"mod above upper L with middle dot"}}},{"category":"Lu","key":"0143","mappings":{"default":{"default":"cap N acute"},"mathspeak":{"default":"modifying above upper N with acute","brief":"mod above upper N with acute","sbrief":"mod above upper N with acute"}}},{"category":"Lu","key":"0145","mappings":{"default":{"default":"cap N cedilla"},"mathspeak":{"default":"modifying above upper N with cedilla","brief":"mod above upper N with cedilla","sbrief":"mod above upper N with cedilla"}}},{"category":"Lu","key":"0147","mappings":{"default":{"default":"cap N caron"},"mathspeak":{"default":"modifying above upper N with caron","brief":"mod above upper N with caron","sbrief":"mod above upper N with caron"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"cap O overbar"},"mathspeak":{"default":"upper O overbar","brief":"upper O overbar","sbrief":"upper O overbar"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"cap O breve"},"mathspeak":{"default":"modifying above upper O with breve","brief":"mod above upper O with breve","sbrief":"mod above upper O with breve"}}},{"category":"Lu","key":"0150","mappings":{"default":{"default":"cap O double acute"},"mathspeak":{"default":"modifying above upper O with double acute","brief":"mod above upper O with double acute","sbrief":"mod above upper O with double acute"}}},{"category":"Lu","key":"0154","mappings":{"default":{"default":"cap R acute"},"mathspeak":{"default":"modifying above upper R with acute","brief":"mod above upper R with acute","sbrief":"mod above upper R with acute"}}},{"category":"Lu","key":"0156","mappings":{"default":{"default":"cap R cedilla"},"mathspeak":{"default":"modifying above upper R with cedilla","brief":"mod above upper R with cedilla","sbrief":"mod above upper R with cedilla"}}},{"category":"Lu","key":"0158","mappings":{"default":{"default":"cap R caron"},"mathspeak":{"default":"modifying above upper R with caron","brief":"mod above upper R with caron","sbrief":"mod above upper R with caron"}}},{"category":"Lu","key":"015A","mappings":{"default":{"default":"cap S acute"},"mathspeak":{"default":"modifying above upper S with acute","brief":"mod above upper S with acute","sbrief":"mod above upper S with acute"}}},{"category":"Lu","key":"015C","mappings":{"default":{"default":"cap S hat"},"mathspeak":{"default":"modifying above upper S with caret","brief":"mod above upper S with caret","sbrief":"mod above upper S with caret"}}},{"category":"Lu","key":"015E","mappings":{"default":{"default":"cap S cedilla"},"mathspeak":{"default":"modifying above upper S with cedilla","brief":"mod above upper S with cedilla","sbrief":"mod above upper S with cedilla"}}},{"category":"Lu","key":"0160","mappings":{"default":{"default":"cap S caron"},"mathspeak":{"default":"modifying above upper S with caron","brief":"mod above upper S with caron","sbrief":"mod above upper S with caron"}}},{"category":"Lu","key":"0162","mappings":{"default":{"default":"cap T cedilla"},"mathspeak":{"default":"modifying above upper T with cedilla","brief":"mod above upper T with cedilla","sbrief":"mod above upper T with cedilla"}}},{"category":"Lu","key":"0164","mappings":{"default":{"default":"cap T caron"},"mathspeak":{"default":"modifying above upper T with caron","brief":"mod above upper T with caron","sbrief":"mod above upper T with caron"}}},{"category":"Lu","key":"0168","mappings":{"default":{"default":"cap U tilde"},"mathspeak":{"default":"upper U overtilde","brief":"upper U overtilde","sbrief":"upper U overtilde"}}},{"category":"Lu","key":"016A","mappings":{"default":{"default":"cap U overbar"},"mathspeak":{"default":"upper U overbar","brief":"upper U overbar","sbrief":"upper U overbar"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"cap U breve"},"mathspeak":{"default":"modifying above upper U with breve","brief":"mod above upper U with breve","sbrief":"mod above upper U with breve"}}},{"category":"Lu","key":"016E","mappings":{"default":{"default":"cap U ring"},"mathspeak":{"default":"modifying above upper U with ring","brief":"mod above upper U with ring","sbrief":"mod above upper U with ring"}}},{"category":"Lu","key":"0170","mappings":{"default":{"default":"cap U double acute"},"mathspeak":{"default":"modifying above upper U with double acute","brief":"mod above upper U with double acute","sbrief":"mod above upper U with double acute"}}},{"category":"Lu","key":"0172","mappings":{"default":{"default":"cap U ogonek"},"mathspeak":{"default":"modifying above upper U with ogonek","brief":"mod above upper U with ogonek","sbrief":"mod above upper U with ogonek"}}},{"category":"Lu","key":"0174","mappings":{"default":{"default":"cap W hat"},"mathspeak":{"default":"modifying above upper W with caret","brief":"mod above upper W with caret","sbrief":"mod above upper W with caret"}}},{"category":"Lu","key":"0176","mappings":{"default":{"default":"cap Y hat"},"mathspeak":{"default":"modifying above upper Y with caret","brief":"mod above upper Y with caret","sbrief":"mod above upper Y with caret"}}},{"category":"Lu","key":"0178","mappings":{"default":{"default":"cap Y double overdot"},"mathspeak":{"default":"modifying above upper Y with double dot","brief":"mod above upper Y with double dot","sbrief":"mod above upper Y with double dot"}}},{"category":"Lu","key":"0179","mappings":{"default":{"default":"cap Z acute"},"mathspeak":{"default":"modifying above upper Z with acute","brief":"mod above upper Z with acute","sbrief":"mod above upper Z with acute"}}},{"category":"Lu","key":"017B","mappings":{"default":{"default":"cap Z overdot"},"mathspeak":{"default":"modifying above upper Z with dot","brief":"mod above upper Z with dot","sbrief":"mod above upper Z with dot"}}},{"category":"Lu","key":"017D","mappings":{"default":{"default":"cap Z caron"},"mathspeak":{"default":"modifying above upper Z with caron","brief":"mod above upper Z with caron","sbrief":"mod above upper Z with caron"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"cap A caron"},"mathspeak":{"default":"modifying above upper A with caron","brief":"mod above upper A with caron","sbrief":"mod above upper A with caron"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"cap I caron"},"mathspeak":{"default":"modifying above upper I with caron","brief":"mod above upper I with caron","sbrief":"mod above upper I with caron"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"cap O caron"},"mathspeak":{"default":"modifying above upper O with caron","brief":"mod above upper O with caron","sbrief":"mod above upper O with caron"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"cap U caron"},"mathspeak":{"default":"modifying above upper U with caron","brief":"mod above upper U with caron","sbrief":"mod above upper U with caron"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"cap G caron"},"mathspeak":{"default":"modifying above upper G with caron","brief":"mod above upper G with caron","sbrief":"mod above upper G with caron"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"cap K caron"},"mathspeak":{"default":"modifying above upper K with caron","brief":"mod above upper K with caron","sbrief":"mod above upper K with caron"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"cap O ogonek"},"mathspeak":{"default":"modifying above upper O with ogonek","brief":"mod above upper O with ogonek","sbrief":"mod above upper O with ogonek"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"cap G acute"},"mathspeak":{"default":"modifying above upper G with acute","brief":"mod above upper G with acute","sbrief":"mod above upper G with acute"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"cap N grave"},"mathspeak":{"default":"modifying above upper N with grave","brief":"mod above upper N with grave","sbrief":"mod above upper N with grave"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"cap A double grave"},"mathspeak":{"default":"modifying above upper A with double grave","brief":"mod above upper A with double grave","sbrief":"mod above upper A with double grave"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"cap A inverted breve"},"mathspeak":{"default":"modifying above upper A with inverted breve","brief":"mod above upper A with inverted breve","sbrief":"mod above upper A with inverted breve"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"cap E double grave"},"mathspeak":{"default":"modifying above upper E with double grave","brief":"mod above upper E with double grave","sbrief":"mod above upper E with double grave"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"cap E inverted breve"},"mathspeak":{"default":"modifying above upper E with inverted breve","brief":"mod above upper E with inverted breve","sbrief":"mod above upper E with inverted breve"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"cap I double grave"},"mathspeak":{"default":"modifying above upper I with double grave","brief":"mod above upper I with double grave","sbrief":"mod above upper I with double grave"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"cap I inverted breve"},"mathspeak":{"default":"modifying above upper I with inverted breve","brief":"mod above upper I with inverted breve","sbrief":"mod above upper I with inverted breve"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"cap O double grave"},"mathspeak":{"default":"modifying above upper O with double grave","brief":"mod above upper O with double grave","sbrief":"mod above upper O with double grave"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"cap O inverted breve"},"mathspeak":{"default":"modifying above upper O with inverted breve","brief":"mod above upper O with inverted breve","sbrief":"mod above upper O with inverted breve"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"cap R double grave"},"mathspeak":{"default":"modifying above upper R with double grave","brief":"mod above upper R with double grave","sbrief":"mod above upper R with double grave"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"cap R inverted breve"},"mathspeak":{"default":"modifying above upper R with inverted breve","brief":"mod above upper R with inverted breve","sbrief":"mod above upper R with inverted breve"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"cap U double grave"},"mathspeak":{"default":"modifying above upper U with double grave","brief":"mod above upper U with double grave","sbrief":"mod above upper U with double grave"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"cap U inverted breve"},"mathspeak":{"default":"modifying above upper U with inverted breve","brief":"mod above upper U with inverted breve","sbrief":"mod above upper U with inverted breve"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"cap S comma below"},"mathspeak":{"default":"modifying below upper S with comma below","brief":"mod below upper S with comma below","sbrief":"mod below upper S with comma below"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"cap T comma below"},"mathspeak":{"default":"modifying below upper T with comma below","brief":"mod below upper T with comma below","sbrief":"mod below upper T with comma below"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"cap H caron"},"mathspeak":{"default":"modifying above upper H with caron","brief":"mod above upper H with caron","sbrief":"mod above upper H with caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"cap A overdot"},"mathspeak":{"default":"modifying above upper A with dot","brief":"mod above upper A with dot","sbrief":"mod above upper A with dot"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"cap E cedilla"},"mathspeak":{"default":"modifying above upper E with cedilla","brief":"mod above upper E with cedilla","sbrief":"mod above upper E with cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"cap O overdot"},"mathspeak":{"default":"modifying above upper O with dot","brief":"mod above upper O with dot","sbrief":"mod above upper O with dot"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"cap Y overbar"},"mathspeak":{"default":"upper Y overbar","brief":"upper Y overbar","sbrief":"upper Y overbar"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"cap A ring below"},"mathspeak":{"default":"modifying below upper A with ring below","brief":"mod below upper A with ring below","sbrief":"mod below upper A with ring below"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"cap B overdot"},"mathspeak":{"default":"modifying above upper B with dot","brief":"mod above upper B with dot","sbrief":"mod above upper B with dot"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"cap B underdot"},"mathspeak":{"default":"modifying below upper B with dot","brief":"mod below upper B with dot","sbrief":"mod below upper B with dot"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"cap B underbar"},"mathspeak":{"default":"upper B underbar","brief":"upper B underbar","sbrief":"upper B underbar"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"cap D overdot"},"mathspeak":{"default":"modifying above upper D with dot","brief":"mod above upper D with dot","sbrief":"mod above upper D with dot"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"cap D underdot"},"mathspeak":{"default":"modifying below upper D with dot","brief":"mod below upper D with dot","sbrief":"mod below upper D with dot"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"cap D underbar"},"mathspeak":{"default":"upper D underbar","brief":"upper D underbar","sbrief":"upper D underbar"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"cap D cedilla"},"mathspeak":{"default":"modifying above upper D with cedilla","brief":"mod above upper D with cedilla","sbrief":"mod above upper D with cedilla"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"cap D underhat"},"mathspeak":{"default":"modifying below upper D with caret","brief":"mod below upper D with caret","sbrief":"mod below upper D with caret"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"cap E underhat"},"mathspeak":{"default":"modifying below upper E with caret","brief":"mod below upper E with caret","sbrief":"mod below upper E with caret"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"cap E tilde below"},"mathspeak":{"default":"upper E undertilde","brief":"upper E undertilde","sbrief":"upper E undertilde"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"cap F overdot"},"mathspeak":{"default":"modifying above upper F with dot","brief":"mod above upper F with dot","sbrief":"mod above upper F with dot"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"cap G overbar"},"mathspeak":{"default":"upper G overbar","brief":"upper G overbar","sbrief":"upper G overbar"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"cap H overdot"},"mathspeak":{"default":"modifying above upper H with dot","brief":"mod above upper H with dot","sbrief":"mod above upper H with dot"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"cap H underdot"},"mathspeak":{"default":"modifying below upper H with dot","brief":"mod below upper H with dot","sbrief":"mod below upper H with dot"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"cap H double overdot"},"mathspeak":{"default":"modifying above upper H with double dot","brief":"mod above upper H with double dot","sbrief":"mod above upper H with double dot"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"cap H cedilla"},"mathspeak":{"default":"modifying above upper H with cedilla","brief":"mod above upper H with cedilla","sbrief":"mod above upper H with cedilla"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"cap H breve below"},"mathspeak":{"default":"modifying below upper H with breve below","brief":"mod below upper H with breve below","sbrief":"mod below upper H with breve below"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"cap I tilde below"},"mathspeak":{"default":"upper I undertilde","brief":"upper I undertilde","sbrief":"upper I undertilde"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"cap K acute"},"mathspeak":{"default":"modifying above upper K with acute","brief":"mod above upper K with acute","sbrief":"mod above upper K with acute"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"cap K underdot"},"mathspeak":{"default":"modifying below upper K with dot","brief":"mod below upper K with dot","sbrief":"mod below upper K with dot"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"cap K underbar"},"mathspeak":{"default":"upper K underbar","brief":"upper K underbar","sbrief":"upper K underbar"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"cap L underdot"},"mathspeak":{"default":"modifying below upper L with dot","brief":"mod below upper L with dot","sbrief":"mod below upper L with dot"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"cap L underbar"},"mathspeak":{"default":"upper L underbar","brief":"upper L underbar","sbrief":"upper L underbar"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"cap L underhat"},"mathspeak":{"default":"modifying below upper L with caret","brief":"mod below upper L with caret","sbrief":"mod below upper L with caret"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"cap M acute"},"mathspeak":{"default":"modifying above upper M with acute","brief":"mod above upper M with acute","sbrief":"mod above upper M with acute"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"cap M overdot"},"mathspeak":{"default":"modifying above upper M with dot","brief":"mod above upper M with dot","sbrief":"mod above upper M with dot"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"cap M underdot"},"mathspeak":{"default":"modifying below upper M with dot","brief":"mod below upper M with dot","sbrief":"mod below upper M with dot"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"cap N overdot"},"mathspeak":{"default":"modifying above upper N with dot","brief":"mod above upper N with dot","sbrief":"mod above upper N with dot"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"cap N underdot"},"mathspeak":{"default":"modifying below upper N with dot","brief":"mod below upper N with dot","sbrief":"mod below upper N with dot"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"cap N underbar"},"mathspeak":{"default":"upper N underbar","brief":"upper N underbar","sbrief":"upper N underbar"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"cap N underhat"},"mathspeak":{"default":"modifying below upper N with caret","brief":"mod below upper N with caret","sbrief":"mod below upper N with caret"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"cap P acute"},"mathspeak":{"default":"modifying above upper P with acute","brief":"mod above upper P with acute","sbrief":"mod above upper P with acute"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"cap P overdot"},"mathspeak":{"default":"modifying above upper P with dot","brief":"mod above upper P with dot","sbrief":"mod above upper P with dot"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"cap R overdot"},"mathspeak":{"default":"modifying above upper R with dot","brief":"mod above upper R with dot","sbrief":"mod above upper R with dot"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"cap R underdot"},"mathspeak":{"default":"modifying below upper R with dot","brief":"mod below upper R with dot","sbrief":"mod below upper R with dot"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"cap R underbar"},"mathspeak":{"default":"upper R underbar","brief":"upper R underbar","sbrief":"upper R underbar"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"cap S overdot"},"mathspeak":{"default":"modifying above upper S with dot","brief":"mod above upper S with dot","sbrief":"mod above upper S with dot"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"cap S underdot"},"mathspeak":{"default":"modifying below upper S with dot","brief":"mod below upper S with dot","sbrief":"mod below upper S with dot"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"cap T overdot"},"mathspeak":{"default":"modifying above upper T with dot","brief":"mod above upper T with dot","sbrief":"mod above upper T with dot"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"cap T underdot"},"mathspeak":{"default":"modifying below upper T with dot","brief":"mod below upper T with dot","sbrief":"mod below upper T with dot"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"cap T underbar"},"mathspeak":{"default":"upper T underbar","brief":"upper T underbar","sbrief":"upper T underbar"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"cap T underhat"},"mathspeak":{"default":"modifying below upper T with caret","brief":"mod below upper T with caret","sbrief":"mod below upper T with caret"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"cap U double underdot"},"mathspeak":{"default":"modifying below upper U with double dot","brief":"mod below upper U with double dot","sbrief":"mod below upper U with double dot"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"cap U tilde below"},"mathspeak":{"default":"upper U undertilde","brief":"upper U undertilde","sbrief":"upper U undertilde"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"cap U underhat"},"mathspeak":{"default":"modifying below upper U with caret","brief":"mod below upper U with caret","sbrief":"mod below upper U with caret"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"cap V tilde"},"mathspeak":{"default":"upper V overtilde","brief":"upper V overtilde","sbrief":"upper V overtilde"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"cap V underdot"},"mathspeak":{"default":"modifying below upper V with dot","brief":"mod below upper V with dot","sbrief":"mod below upper V with dot"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"cap W grave"},"mathspeak":{"default":"modifying above upper W with grave","brief":"mod above upper W with grave","sbrief":"mod above upper W with grave"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"cap W acute"},"mathspeak":{"default":"modifying above upper W with acute","brief":"mod above upper W with acute","sbrief":"mod above upper W with acute"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"cap W double overdot"},"mathspeak":{"default":"modifying above upper W with double dot","brief":"mod above upper W with double dot","sbrief":"mod above upper W with double dot"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"cap W overdot"},"mathspeak":{"default":"modifying above upper W with dot","brief":"mod above upper W with dot","sbrief":"mod above upper W with dot"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"cap W underdot"},"mathspeak":{"default":"modifying below upper W with dot","brief":"mod below upper W with dot","sbrief":"mod below upper W with dot"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"cap X overdot"},"mathspeak":{"default":"modifying above upper X with dot","brief":"mod above upper X with dot","sbrief":"mod above upper X with dot"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"cap X double overdot"},"mathspeak":{"default":"modifying above upper X with double dot","brief":"mod above upper X with double dot","sbrief":"mod above upper X with double dot"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"cap Y overdot"},"mathspeak":{"default":"modifying above upper Y with dot","brief":"mod above upper Y with dot","sbrief":"mod above upper Y with dot"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"cap Z circumflex"},"mathspeak":{"default":"modifying above upper Z with circumflex","brief":"mod above upper Z with circumflex","sbrief":"mod above upper Z with circumflex"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"cap Z underdot"},"mathspeak":{"default":"modifying below upper Z with dot","brief":"mod below upper Z with dot","sbrief":"mod below upper Z with dot"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"cap Z underbar"},"mathspeak":{"default":"upper Z underbar","brief":"upper Z underbar","sbrief":"upper Z underbar"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"cap A underdot"},"mathspeak":{"default":"modifying below upper A with dot","brief":"mod below upper A with dot","sbrief":"mod below upper A with dot"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"cap A hook"},"mathspeak":{"default":"modifying above upper A with hook","brief":"mod above upper A with hook","sbrief":"mod above upper A with hook"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"cap E underdot"},"mathspeak":{"default":"modifying below upper E with dot","brief":"mod below upper E with dot","sbrief":"mod below upper E with dot"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"cap E hook"},"mathspeak":{"default":"modifying above upper E with hook","brief":"mod above upper E with hook","sbrief":"mod above upper E with hook"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"cap E tilde"},"mathspeak":{"default":"upper E overtilde","brief":"upper E overtilde","sbrief":"upper E overtilde"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"cap I hook"},"mathspeak":{"default":"modifying above upper I with hook","brief":"mod above upper I with hook","sbrief":"mod above upper I with hook"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"cap I underdot"},"mathspeak":{"default":"modifying below upper I with dot","brief":"mod below upper I with dot","sbrief":"mod below upper I with dot"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"cap O underdot"},"mathspeak":{"default":"modifying below upper O with dot","brief":"mod below upper O with dot","sbrief":"mod below upper O with dot"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"cap O hook"},"mathspeak":{"default":"modifying above upper O with hook","brief":"mod above upper O with hook","sbrief":"mod above upper O with hook"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"cap U underdot"},"mathspeak":{"default":"modifying below upper U with dot","brief":"mod below upper U with dot","sbrief":"mod below upper U with dot"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"cap U hook"},"mathspeak":{"default":"modifying above upper U with hook","brief":"mod above upper U with hook","sbrief":"mod above upper U with hook"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"cap Y grave"},"mathspeak":{"default":"modifying above upper Y with grave","brief":"mod above upper Y with grave","sbrief":"mod above upper Y with grave"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"cap Y underdot"},"mathspeak":{"default":"modifying below upper Y with dot","brief":"mod below upper Y with dot","sbrief":"mod below upper Y with dot"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"cap Y hook"},"mathspeak":{"default":"modifying above upper Y with hook","brief":"mod above upper Y with hook","sbrief":"mod above upper Y with hook"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"cap Y tilde"},"mathspeak":{"default":"upper Y overtilde","brief":"upper Y overtilde","sbrief":"upper Y overtilde"}}}]
+,
+"en/symbols/math_angles.js": 
+[{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"right angle with arc"}},"key":"22BE"},{"category":"Sm","mappings":{"default":{"default":"right angle with downwards zigzag arrow"}},"key":"237C"},{"category":"Sm","mappings":{"default":{"default":"three dimensional angle"}},"key":"27C0"},{"category":"Sm","mappings":{"default":{"default":"measured angle opening left"}},"key":"299B"},{"category":"Sm","mappings":{"default":{"default":"right angle variant with square"}},"key":"299C"},{"category":"Sm","mappings":{"default":{"default":"measured right angle with dot"}},"key":"299D"},{"category":"Sm","mappings":{"default":{"default":"angle with s inside"}},"key":"299E"},{"category":"Sm","mappings":{"default":{"default":"acute angle"}},"key":"299F"},{"category":"Sm","mappings":{"default":{"default":"spherical angle opening left"}},"key":"29A0"},{"category":"Sm","mappings":{"default":{"default":"spherical angle opening up"}},"key":"29A1"},{"category":"Sm","mappings":{"default":{"default":"turned angle"}},"key":"29A2"},{"category":"Sm","mappings":{"default":{"default":"reversed angle"}},"key":"29A3"},{"category":"Sm","mappings":{"default":{"default":"angle with underbar"}},"key":"29A4"},{"category":"Sm","mappings":{"default":{"default":"reversed angle with underbar"}},"key":"29A5"},{"category":"Sm","mappings":{"default":{"default":"oblique angle opening up"}},"key":"29A6"},{"category":"Sm","mappings":{"default":{"default":"oblique angle opening down"}},"key":"29A7"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and right"}},"key":"29A8"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and left"}},"key":"29A9"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and right"}},"key":"29AA"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and left"}},"key":"29AB"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"key":"29AC"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"key":"29AD"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"key":"29AE"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"key":"29AF"}]
+,
+"en/symbols/math_arrows.js": 
+[{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"left arrow"},"mathspeak":{"sbrief":"L arrow"}},"key":"2190"},{"category":"Sm","mappings":{"default":{"default":"up arrow"},"mathspeak":{"sbrief":"U arrow"}},"key":"2191"},{"category":"Sm","mappings":{"default":{"default":"right arrow"},"mathspeak":{"sbrief":"R arrow"}},"key":"2192"},{"category":"Sm","mappings":{"default":{"default":"down arrow"},"mathspeak":{"sbrief":"D arrow"}},"key":"2193"},{"category":"Sm","mappings":{"default":{"default":"left right arrow"},"mathspeak":{"sbrief":"L R arrow"}},"key":"2194"},{"category":"So","mappings":{"default":{"default":"up down arrow"},"mathspeak":{"sbrief":"U D arrow"}},"key":"2195"},{"category":"So","mappings":{"default":{"default":"up left arrow"},"mathspeak":{"sbrief":"U L arrow"}},"key":"2196"},{"category":"So","mappings":{"default":{"default":"up right arrow"},"mathspeak":{"sbrief":"U R arrow"}},"key":"2197"},{"category":"So","mappings":{"default":{"default":"down right arrow"},"mathspeak":{"sbrief":"D R arrow"}},"key":"2198"},{"category":"So","mappings":{"default":{"default":"down left arrow"},"mathspeak":{"sbrief":"D L arrow"}},"key":"2199"},{"category":"Sm","mappings":{"default":{"default":"left arrow with stroke"},"mathspeak":{"sbrief":"L arrow with stroke"}},"key":"219A"},{"category":"Sm","mappings":{"default":{"default":"right arrow with stroke"},"mathspeak":{"sbrief":"R arrow with stroke"}},"key":"219B"},{"category":"So","mappings":{"default":{"default":"left wave arrow"},"mathspeak":{"sbrief":"L wave arrow"}},"key":"219C"},{"category":"So","mappings":{"default":{"default":"right wave arrow"},"mathspeak":{"sbrief":"R wave arrow"}},"key":"219D"},{"category":"So","mappings":{"default":{"default":"two headed left arrow"},"mathspeak":{"sbrief":"two headed L arrow"}},"key":"219E"},{"category":"So","mappings":{"default":{"default":"two headed up arrow"},"mathspeak":{"sbrief":"two headed U arrow"}},"key":"219F"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow"},"mathspeak":{"sbrief":"two headed R arrow"}},"key":"21A0"},{"category":"So","mappings":{"default":{"default":"two headed down arrow"},"mathspeak":{"sbrief":"two headed D arrow"}},"key":"21A1"},{"category":"So","mappings":{"default":{"default":"left arrow with tail"},"mathspeak":{"sbrief":"L arrow with tail"}},"key":"21A2"},{"category":"Sm","mappings":{"default":{"default":"right arrow with tail"},"mathspeak":{"sbrief":"R arrow with tail"}},"key":"21A3"},{"category":"So","mappings":{"default":{"default":"left arrow from bar"},"mathspeak":{"sbrief":"L arrow from bar"}},"key":"21A4"},{"category":"So","mappings":{"default":{"default":"up arrow from bar"},"mathspeak":{"sbrief":"U arrow from bar"}},"key":"21A5"},{"category":"Sm","mappings":{"default":{"default":"right arrow from bar"},"mathspeak":{"sbrief":"R arrow from bar"}},"key":"21A6"},{"category":"So","mappings":{"default":{"default":"down arrow from bar"},"mathspeak":{"sbrief":"D arrow from bar"}},"key":"21A7"},{"category":"So","mappings":{"default":{"default":"up down arrow with base"},"mathspeak":{"sbrief":"U D arrow with base"}},"key":"21A8"},{"category":"So","mappings":{"default":{"default":"left arrow with hook"},"mathspeak":{"sbrief":"L arrow with hook"}},"key":"21A9"},{"category":"So","mappings":{"default":{"default":"right arrow with hook"},"mathspeak":{"sbrief":"R arrow with hook"}},"key":"21AA"},{"category":"So","mappings":{"default":{"default":"left arrow with loop"},"mathspeak":{"sbrief":"L arrow with loop"}},"key":"21AB"},{"category":"So","mappings":{"default":{"default":"right arrow with loop"},"mathspeak":{"sbrief":"R arrow with loop"}},"key":"21AC"},{"category":"So","mappings":{"default":{"default":"left right wave arrow"},"mathspeak":{"sbrief":"L R wave arrow"}},"key":"21AD"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with stroke"},"mathspeak":{"sbrief":"L R arrow with stroke"}},"key":"21AE"},{"category":"So","mappings":{"default":{"default":"down zigzag arrow"},"mathspeak":{"sbrief":"d zigzag arrow"}},"key":"21AF"},{"category":"So","mappings":{"default":{"default":"up arrow with tip left"},"mathspeak":{"sbrief":"U arrow with tip left"}},"key":"21B0"},{"category":"So","mappings":{"default":{"default":"up arrow with tip right"},"mathspeak":{"sbrief":"U arrow with tip right"}},"key":"21B1"},{"category":"So","mappings":{"default":{"default":"down arrow with tip left"},"mathspeak":{"sbrief":"D arrow with tip left"}},"key":"21B2"},{"category":"So","mappings":{"default":{"default":"down arrow with tip right"},"mathspeak":{"sbrief":"D arrow with tip right"}},"key":"21B3"},{"category":"So","mappings":{"default":{"default":"right arrow with corner down"},"mathspeak":{"sbrief":"R arrow with corner down"}},"key":"21B4"},{"category":"So","mappings":{"default":{"default":"down arrow with corner left"},"mathspeak":{"sbrief":"D arrow with corner left"}},"key":"21B5"},{"category":"So","mappings":{"default":{"default":"anticlockwise top semicircle arrow"}},"key":"21B6"},{"category":"So","mappings":{"default":{"default":"clockwise top semicircle arrow"}},"key":"21B7"},{"category":"So","mappings":{"default":{"default":"up left arrow to long bar"},"mathspeak":{"sbrief":"U L arrow to long bar"}},"key":"21B8"},{"category":"So","mappings":{"default":{"default":"left arrow to bar over right arrow to bar"},"mathspeak":{"sbrief":"L arrow to bar over R arrow to bar"}},"key":"21B9"},{"category":"So","mappings":{"default":{"default":"anticlockwise open circle arrow"}},"key":"21BA"},{"category":"So","mappings":{"default":{"default":"clockwise open circle arrow"}},"key":"21BB"},{"category":"So","mappings":{"default":{"default":"right arrow over left arrow"},"mathspeak":{"sbrief":"R arrow over L arrow"}},"key":"21C4"},{"category":"So","mappings":{"default":{"default":"up arrow left of down arrow"},"mathspeak":{"sbrief":"U arrow L of D arrow"}},"key":"21C5"},{"category":"So","mappings":{"default":{"default":"left arrow over right arrow"},"mathspeak":{"sbrief":"L arrow over R arrow"}},"key":"21C6"},{"category":"So","mappings":{"default":{"default":"left paired arrows"},"mathspeak":{"sbrief":"L paired arrows"}},"key":"21C7"},{"category":"So","mappings":{"default":{"default":"up paired arrows"},"mathspeak":{"sbrief":"U paired arrows"}},"key":"21C8"},{"category":"So","mappings":{"default":{"default":"right paired arrows"},"mathspeak":{"sbrief":"R paired arrows"}},"key":"21C9"},{"category":"So","mappings":{"default":{"default":"down paired arrows"},"mathspeak":{"sbrief":"D paired arrows"}},"key":"21CA"},{"category":"So","mappings":{"default":{"default":"left double arrow with stroke"},"mathspeak":{"sbrief":"L double arrow with stroke"}},"key":"21CD"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow with stroke"},"mathspeak":{"sbrief":"L R double arrow with stroke"}},"key":"21CE"},{"category":"Sm","mappings":{"default":{"default":"right double arrow with stroke"},"mathspeak":{"sbrief":"R double arrow with stroke"}},"key":"21CF"},{"category":"So","mappings":{"default":{"default":"left double arrow"},"mathspeak":{"sbrief":"L double arrow"}},"key":"21D0"},{"category":"So","mappings":{"default":{"default":"up double arrow"},"mathspeak":{"sbrief":"U double arrow"}},"key":"21D1"},{"category":"Sm","mappings":{"default":{"default":"right double arrow"},"mathspeak":{"sbrief":"R double arrow"}},"key":"21D2"},{"category":"So","mappings":{"default":{"default":"down double arrow"},"mathspeak":{"sbrief":"d double arrow"}},"key":"21D3"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow"},"mathspeak":{"sbrief":"L R double arrow"}},"key":"21D4"},{"category":"So","mappings":{"default":{"default":"up down double arrow"},"mathspeak":{"sbrief":"U d double arrow"}},"key":"21D5"},{"category":"So","mappings":{"default":{"default":"up left double arrow"},"mathspeak":{"sbrief":"U L double arrow"}},"key":"21D6"},{"category":"So","mappings":{"default":{"default":"up right double arrow"},"mathspeak":{"sbrief":"U R double arrow"}},"key":"21D7"},{"category":"So","mappings":{"default":{"default":"down right double arrow"},"mathspeak":{"sbrief":"d R double arrow"}},"key":"21D8"},{"category":"So","mappings":{"default":{"default":"down left double arrow"},"mathspeak":{"sbrief":"d L double arrow"}},"key":"21D9"},{"category":"So","mappings":{"default":{"default":"left triple arrow"},"mathspeak":{"sbrief":"L triple arrow"}},"key":"21DA"},{"category":"So","mappings":{"default":{"default":"right triple arrow"},"mathspeak":{"sbrief":"r triple arrow"}},"key":"21DB"},{"category":"So","mappings":{"default":{"default":"left squiggle arrow"},"mathspeak":{"sbrief":"L squiggle arrow"}},"key":"21DC"},{"category":"So","mappings":{"default":{"default":"right squiggle arrow"},"mathspeak":{"sbrief":"r squiggle arrow"}},"key":"21DD"},{"category":"So","mappings":{"default":{"default":"up arrow with double stroke"},"mathspeak":{"sbrief":"U arrow with double stroke"}},"key":"21DE"},{"category":"So","mappings":{"default":{"default":"down arrow with double stroke"},"mathspeak":{"sbrief":"D arrow with double stroke"}},"key":"21DF"},{"category":"So","mappings":{"default":{"default":"left dasheD arrow"},"mathspeak":{"sbrief":"L dasheD arrow"}},"key":"21E0"},{"category":"So","mappings":{"default":{"default":"up dasheD arrow"},"mathspeak":{"sbrief":"U dasheD arrow"}},"key":"21E1"},{"category":"So","mappings":{"default":{"default":"right dasheD arrow"},"mathspeak":{"sbrief":"r dasheD arrow"}},"key":"21E2"},{"category":"So","mappings":{"default":{"default":"down dasheD arrow"},"mathspeak":{"sbrief":"d dasheD arrow"}},"key":"21E3"},{"category":"So","mappings":{"default":{"default":"left arrow to bar"},"mathspeak":{"sbrief":"L arrow to bar"}},"key":"21E4"},{"category":"So","mappings":{"default":{"default":"right arrow to bar"},"mathspeak":{"sbrief":"R arrow to bar"}},"key":"21E5"},{"category":"So","mappings":{"default":{"default":"white left arrow"},"mathspeak":{"sbrief":"white L arrow"}},"key":"21E6"},{"category":"So","mappings":{"default":{"default":"white up arrow"},"mathspeak":{"sbrief":"white U arrow"}},"key":"21E7"},{"category":"So","mappings":{"default":{"default":"white right arrow"},"mathspeak":{"sbrief":"white R arrow"}},"key":"21E8"},{"category":"So","mappings":{"default":{"default":"white down arrow"},"mathspeak":{"sbrief":"white D arrow"}},"key":"21E9"},{"category":"So","mappings":{"default":{"default":"white up arrow from bar"},"mathspeak":{"sbrief":"white U arrow from bar"}},"key":"21EA"},{"category":"So","mappings":{"default":{"default":"white up arrow on pedestal"},"mathspeak":{"sbrief":"white U arrow on pedestal"}},"key":"21EB"},{"category":"So","mappings":{"default":{"default":"white up arrow on pedestal with horizontal bar"},"mathspeak":{"sbrief":"white U arrow on pedestal with horizontal bar"}},"key":"21EC"},{"category":"So","mappings":{"default":{"default":"white up arrow on pedestal with vertical bar"},"mathspeak":{"sbrief":"white U arrow on pedestal with vertical bar"}},"key":"21ED"},{"category":"So","mappings":{"default":{"default":"white double up arrow"},"mathspeak":{"sbrief":"white double U arrow"}},"key":"21EE"},{"category":"So","mappings":{"default":{"default":"white double up arrow on pedestal"},"mathspeak":{"sbrief":"white double U arrow on pedestal"}},"key":"21EF"},{"category":"So","mappings":{"default":{"default":"white right arrow from wall"},"mathspeak":{"sbrief":"white R arrow from wall"}},"key":"21F0"},{"category":"So","mappings":{"default":{"default":"north west arrow to corner"}},"key":"21F1"},{"category":"So","mappings":{"default":{"default":"south east arrow to corner"}},"key":"21F2"},{"category":"So","mappings":{"default":{"default":"up down white arrow"},"mathspeak":{"sbrief":"U d white arrow"}},"key":"21F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with small circle"},"mathspeak":{"sbrief":"R arrow with small circle"}},"key":"21F4"},{"category":"Sm","mappings":{"default":{"default":"down arrow left of up arrow"},"mathspeak":{"sbrief":"D arrow l of U arrow"}},"key":"21F5"},{"category":"Sm","mappings":{"default":{"default":"three right arrows"},"mathspeak":{"sbrief":"three R arrows"}},"key":"21F6"},{"category":"Sm","mappings":{"default":{"default":"left arrow with vertical stroke"},"mathspeak":{"sbrief":"L arrow with vertical stroke"}},"key":"21F7"},{"category":"Sm","mappings":{"default":{"default":"right arrow with vertical stroke"},"mathspeak":{"sbrief":"R arrow with vertical stroke"}},"key":"21F8"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with vertical stroke"},"mathspeak":{"sbrief":"L R arrow with vertical stroke"}},"key":"21F9"},{"category":"Sm","mappings":{"default":{"default":"left arrow with double vertical stroke"},"mathspeak":{"sbrief":"L arrow with double vertical stroke"}},"key":"21FA"},{"category":"Sm","mappings":{"default":{"default":"right arrow with double vertical stroke"},"mathspeak":{"sbrief":"R arrow with double vertical stroke"}},"key":"21FB"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with double vertical stroke"},"mathspeak":{"sbrief":"L R arrow with double vertical stroke"}},"key":"21FC"},{"category":"Sm","mappings":{"default":{"default":"left open headed arrow"},"mathspeak":{"sbrief":"l open headed arrow"}},"key":"21FD"},{"category":"Sm","mappings":{"default":{"default":"right open headed arrow"},"mathspeak":{"sbrief":"r open headed arrow"}},"key":"21FE"},{"category":"Sm","mappings":{"default":{"default":"left right open headed arrow"},"mathspeak":{"sbrief":"L R open headed arrow"}},"key":"21FF"},{"category":"So","mappings":{"default":{"default":"electric arrow"}},"key":"2301"},{"category":"So","mappings":{"default":{"default":"up arrowhead"},"mathspeak":{"sbrief":"U arrowhead"}},"key":"2303"},{"category":"So","mappings":{"default":{"default":"down arrowhead"},"mathspeak":{"sbrief":"D arrowhead"}},"key":"2304"},{"category":"So","mappings":{"default":{"default":"up arrowhead between two horizontal bars","alternative":"enter key"},"mathspeak":{"sbrief":"U arrowhead between two horizontal bars"}},"key":"2324"},{"category":"So","mappings":{"default":{"default":"broken circle with northwest arrow"}},"key":"238B"},{"category":"So","mappings":{"default":{"default":"heavy wide headed right arrow"},"mathspeak":{"sbrief":"heavy wide headed R arrow"}},"key":"2794"},{"category":"So","mappings":{"default":{"default":"heavy down right arrow"},"mathspeak":{"sbrief":"heavy d R arrow"}},"key":"2798"},{"category":"So","mappings":{"default":{"default":"heavy right arrow"},"mathspeak":{"sbrief":"heavy R arrow"}},"key":"2799"},{"category":"So","mappings":{"default":{"default":"heavy up right arrow"},"mathspeak":{"sbrief":"heavy U R arrow"}},"key":"279A"},{"category":"So","mappings":{"default":{"default":"drafting point right arrow"},"mathspeak":{"sbrief":"drafting point R arrow"}},"key":"279B"},{"category":"So","mappings":{"default":{"default":"heavy round tipped right arrow"},"mathspeak":{"sbrief":"heavy round tipped R arrow"}},"key":"279C"},{"category":"So","mappings":{"default":{"default":"triangle headed right arrow"},"mathspeak":{"sbrief":"triangle headed R arrow"}},"key":"279D"},{"category":"So","mappings":{"default":{"default":"heavy triangle headed right arrow"},"mathspeak":{"sbrief":"heavy triangle headed R arrow"}},"key":"279E"},{"category":"So","mappings":{"default":{"default":"dashed triangle headed right arrow"},"mathspeak":{"sbrief":"dashed triangle headed R arrow"}},"key":"279F"},{"category":"So","mappings":{"default":{"default":"heavy dashed triangle headed right arrow"},"mathspeak":{"sbrief":"heavy dashed triangle headed R arrow"}},"key":"27A0"},{"category":"So","mappings":{"default":{"default":"black right arrow"},"mathspeak":{"sbrief":"black R arrow"}},"key":"27A1"},{"category":"So","mappings":{"default":{"default":"three d top lighted right arrowhead"},"mathspeak":{"sbrief":"three d top lighted R arrowhead"}},"key":"27A2"},{"category":"So","mappings":{"default":{"default":"three d bottom lighted right arrowhead"},"mathspeak":{"sbrief":"three d bottom lighted R arrowhead"}},"key":"27A3"},{"category":"So","mappings":{"default":{"default":"black right arrowhead"},"mathspeak":{"sbrief":"black R arrowhead"}},"key":"27A4"},{"category":"So","mappings":{"default":{"default":"heavy black curved down and right arrow"},"mathspeak":{"sbrief":"heavy black curved d and R arrow"}},"key":"27A5"},{"category":"So","mappings":{"default":{"default":"heavy black curved up and right arrow"},"mathspeak":{"sbrief":"heavy black curved U and R arrow"}},"key":"27A6"},{"category":"So","mappings":{"default":{"default":"squat black right arrow"},"mathspeak":{"sbrief":"squat black R arrow"}},"key":"27A7"},{"category":"So","mappings":{"default":{"default":"heavy concave pointed black right arrow"},"mathspeak":{"sbrief":"heavy concave pointed black R arrow"}},"key":"27A8"},{"category":"So","mappings":{"default":{"default":"right shaded white right arrow"},"mathspeak":{"sbrief":"right shaded white R arrow"}},"key":"27A9"},{"category":"So","mappings":{"default":{"default":"left shaded white right arrow"},"mathspeak":{"sbrief":"left shaded white R arrow"}},"key":"27AA"},{"category":"So","mappings":{"default":{"default":"back tilted shadowed white right arrow"},"mathspeak":{"sbrief":"back tilted shadowed white R arrow"}},"key":"27AB"},{"category":"So","mappings":{"default":{"default":"front tilted shadowed white right arrow"},"mathspeak":{"sbrief":"front tilted shadowed white R arrow"}},"key":"27AC"},{"category":"So","mappings":{"default":{"default":"heavy lower right shadowed white right arrow"},"mathspeak":{"sbrief":"heavy lower right shadowed white R arrow"}},"key":"27AD"},{"category":"So","mappings":{"default":{"default":"heavy upper right shadowed white right arrow"},"mathspeak":{"sbrief":"heavy upper right shadowed white R arrow"}},"key":"27AE"},{"category":"So","mappings":{"default":{"default":"notched lower right shadowed white right arrow"},"mathspeak":{"sbrief":"notched lower right shadowed white R arrow"}},"key":"27AF"},{"category":"So","mappings":{"default":{"default":"notched upper right shadowed white right arrow"},"mathspeak":{"sbrief":"notched upper right shadowed white R arrow"}},"key":"27B1"},{"category":"So","mappings":{"default":{"default":"circled heavy white right arrow"},"mathspeak":{"sbrief":"circled heavy white R arrow"}},"key":"27B2"},{"category":"So","mappings":{"default":{"default":"white feathered right arrow"},"mathspeak":{"sbrief":"white feathered R arrow"}},"key":"27B3"},{"category":"So","mappings":{"default":{"default":"black feathered down right arrow"},"mathspeak":{"sbrief":"black feathered d R arrow"}},"key":"27B4"},{"category":"So","mappings":{"default":{"default":"black feathered right arrow"},"mathspeak":{"sbrief":"black feathered R arrow"}},"key":"27B5"},{"category":"So","mappings":{"default":{"default":"black feathered up right arrow"},"mathspeak":{"sbrief":"black feathered U R arrow"}},"key":"27B6"},{"category":"So","mappings":{"default":{"default":"heavy black feathered down right arrow"},"mathspeak":{"sbrief":"heavy black feathered d R arrow"}},"key":"27B7"},{"category":"So","mappings":{"default":{"default":"heavy black feathered right arrow"},"mathspeak":{"sbrief":"heavy black feathered R arrow"}},"key":"27B8"},{"category":"So","mappings":{"default":{"default":"heavy black feathered up right arrow"},"mathspeak":{"sbrief":"heavy black feathered U R arrow"}},"key":"27B9"},{"category":"So","mappings":{"default":{"default":"teardrop barbed right arrow"},"mathspeak":{"sbrief":"teardrop barbed R arrow"}},"key":"27BA"},{"category":"So","mappings":{"default":{"default":"heavy teardrop shanked right arrow"},"mathspeak":{"sbrief":"heavy teardrop shanked R arrow"}},"key":"27BB"},{"category":"So","mappings":{"default":{"default":"wedge tailed right arrow"},"mathspeak":{"sbrief":"wedge tailed R arrow"}},"key":"27BC"},{"category":"So","mappings":{"default":{"default":"heavy wedge tailed right arrow"},"mathspeak":{"sbrief":"heavy wedge tailed R arrow"}},"key":"27BD"},{"category":"So","mappings":{"default":{"default":"open outlined right arrow"},"mathspeak":{"sbrief":"open outlined R arrow"}},"key":"27BE"},{"category":"Sm","mappings":{"default":{"default":"up quadruple arrow"},"mathspeak":{"sbrief":"U quadruple arrow"}},"key":"27F0"},{"category":"Sm","mappings":{"default":{"default":"down quadruple arrow"},"mathspeak":{"sbrief":"d quadrule arrow"}},"key":"27F1"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise gapped circle arrow"}},"key":"27F2"},{"category":"Sm","mappings":{"default":{"default":"clockwise gapped circle arrow"}},"key":"27F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with circled plus"},"mathspeak":{"sbrief":"R arrow with circled plus"}},"key":"27F4"},{"category":"Sm","mappings":{"default":{"default":"long left arrow"},"mathspeak":{"sbrief":"long L arrow"}},"key":"27F5"},{"category":"Sm","mappings":{"default":{"default":"long right arrow"},"mathspeak":{"sbrief":"long R arrow"}},"key":"27F6"},{"category":"Sm","mappings":{"default":{"default":"long left right arrow"},"mathspeak":{"sbrief":"long L R arrow"}},"key":"27F7"},{"category":"Sm","mappings":{"default":{"default":"long left double arrow"},"mathspeak":{"sbrief":"long l double arrow"}},"key":"27F8"},{"category":"Sm","mappings":{"default":{"default":"long right double arrow"},"mathspeak":{"sbrief":"long R double arrow"}},"key":"27F9"},{"category":"Sm","mappings":{"default":{"default":"long left right double arrow"},"mathspeak":{"sbrief":"long L R double arrow"}},"key":"27FA"},{"category":"Sm","mappings":{"default":{"default":"long left arrow from bar"},"mathspeak":{"sbrief":"long L arrow from bar"}},"key":"27FB"},{"category":"Sm","mappings":{"default":{"default":"long right arrow from bar"},"mathspeak":{"sbrief":"long R arrow from bar"}},"key":"27FC"},{"category":"Sm","mappings":{"default":{"default":"long left double arrow from bar"},"mathspeak":{"sbrief":"long l double arrow from bar"}},"key":"27FD"},{"category":"Sm","mappings":{"default":{"default":"long right double arrow from bar"},"mathspeak":{"sbrief":"long R double arrow from bar"}},"key":"27FE"},{"category":"Sm","mappings":{"default":{"default":"long right squiggle arrow"},"mathspeak":{"sbrief":"long r squiggle arrow"}},"key":"27FF"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow with vertical stroke"},"mathspeak":{"sbrief":"two headed R arrow with vertical stroke"}},"key":"2900"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow with double vertical stroke"},"mathspeak":{"sbrief":"two headed R arrow with double vertical stroke"}},"key":"2901"},{"category":"Sm","mappings":{"default":{"default":"double left arrow with vertical stroke"},"mathspeak":{"sbrief":"double L arrow with vertical stroke"}},"key":"2902"},{"category":"Sm","mappings":{"default":{"default":"double right arrow with vertical stroke"},"mathspeak":{"sbrief":"double R arrow with vertical stroke"}},"key":"2903"},{"category":"Sm","mappings":{"default":{"default":"double left right arrow with vertical stroke"},"mathspeak":{"sbrief":"double L R arrow with vertical stroke"}},"key":"2904"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow from bar"},"mathspeak":{"sbrief":"two headed R arrow from bar"}},"key":"2905"},{"category":"Sm","mappings":{"default":{"default":"double left arrow from bar"},"mathspeak":{"sbrief":"double L arrow from bar"}},"key":"2906"},{"category":"Sm","mappings":{"default":{"default":"double right arrow from bar"},"mathspeak":{"sbrief":"double R arrow from bar"}},"key":"2907"},{"category":"Sm","mappings":{"default":{"default":"arrow down with horizontal stroke"}},"key":"2908"},{"category":"Sm","mappings":{"default":{"default":"up arrow with horizontal stroke"},"mathspeak":{"sbrief":"U arrow with horizontal stroke"}},"key":"2909"},{"category":"Sm","mappings":{"default":{"default":"up triple arrow"},"mathspeak":{"sbrief":"U triple arrow"}},"key":"290A"},{"category":"Sm","mappings":{"default":{"default":"down triple arrow"},"mathspeak":{"sbrief":"d triple arrow"}},"key":"290B"},{"category":"Sm","mappings":{"default":{"default":"left double dash arrow"},"mathspeak":{"sbrief":"l double dash arrow"}},"key":"290C"},{"category":"Sm","mappings":{"default":{"default":"right double dash arrow"},"mathspeak":{"sbrief":"R double dash arrow"}},"key":"290D"},{"category":"Sm","mappings":{"default":{"default":"left triple dash arrow"},"mathspeak":{"sbrief":"l triple dash arrow"}},"key":"290E"},{"category":"Sm","mappings":{"default":{"default":"right triple dash arrow"},"mathspeak":{"sbrief":"r triple dash arrow"}},"key":"290F"},{"category":"Sm","mappings":{"default":{"default":"right two headed triple dash arrow"},"mathspeak":{"sbrief":"r two headed triple dash arrow"}},"key":"2910"},{"category":"Sm","mappings":{"default":{"default":"right arrow with dotted stem"},"mathspeak":{"sbrief":"R arrow with dotted stem"}},"key":"2911"},{"category":"Sm","mappings":{"default":{"default":"up arrow to bar"},"mathspeak":{"sbrief":"U arrow to bar"}},"key":"2912"},{"category":"Sm","mappings":{"default":{"default":"down arrow to bar"},"mathspeak":{"sbrief":"D arrow to bar"}},"key":"2913"},{"category":"Sm","mappings":{"default":{"default":"right arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"R arrow with tail with vertical stroke"}},"key":"2914"},{"category":"Sm","mappings":{"default":{"default":"right arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"R arrow with tail with double vertical stroke"}},"key":"2915"},{"category":"Sm","mappings":{"default":{"default":"right two headed arrow with tail"},"mathspeak":{"sbrief":"r two headed arrow with tail"}},"key":"2916"},{"category":"Sm","mappings":{"default":{"default":"right two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with vertical stroke"}},"key":"2917"},{"category":"Sm","mappings":{"default":{"default":"right two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with double vertical stroke"}},"key":"2918"},{"category":"Sm","mappings":{"default":{"default":"left arrow tail"},"mathspeak":{"sbrief":"L arrow tail"}},"key":"2919"},{"category":"Sm","mappings":{"default":{"default":"right arrow tail"},"mathspeak":{"sbrief":"R arrow tail"}},"key":"291A"},{"category":"Sm","mappings":{"default":{"default":"left double arrow tail"},"mathspeak":{"sbrief":"l double arrow tail"}},"key":"291B"},{"category":"Sm","mappings":{"default":{"default":"right double arrow tail"},"mathspeak":{"sbrief":"R double arrow tail"}},"key":"291C"},{"category":"Sm","mappings":{"default":{"default":"left arrow to black diamond"},"mathspeak":{"sbrief":"L arrow to black diamond"}},"key":"291D"},{"category":"Sm","mappings":{"default":{"default":"right arrow to black diamond"},"mathspeak":{"sbrief":"R arrow to black diamond"}},"key":"291E"},{"category":"Sm","mappings":{"default":{"default":"left arrow from bar to black diamond"},"mathspeak":{"sbrief":"L arrow from bar to black diamond"}},"key":"291F"},{"category":"Sm","mappings":{"default":{"default":"right arrow from bar to black diamond"},"mathspeak":{"sbrief":"R arrow from bar to black diamond"}},"key":"2920"},{"category":"Sm","mappings":{"default":{"default":"north west and south east arrow"}},"key":"2921"},{"category":"Sm","mappings":{"default":{"default":"north east and south west arrow"}},"key":"2922"},{"category":"Sm","mappings":{"default":{"default":"north west arrow with hook"}},"key":"2923"},{"category":"Sm","mappings":{"default":{"default":"north east arrow with hook"}},"key":"2924"},{"category":"Sm","mappings":{"default":{"default":"south east arrow with hook"}},"key":"2925"},{"category":"Sm","mappings":{"default":{"default":"south west arrow with hook"}},"key":"2926"},{"category":"Sm","mappings":{"default":{"default":"north west arrow and north east arrow"}},"key":"2927"},{"category":"Sm","mappings":{"default":{"default":"north east arrow and south east arrow"}},"key":"2928"},{"category":"Sm","mappings":{"default":{"default":"south east arrow and south west arrow"}},"key":"2929"},{"category":"Sm","mappings":{"default":{"default":"south west arrow and north west arrow"}},"key":"292A"},{"category":"Sm","mappings":{"default":{"default":"south east arrow crossing north east arrow"}},"key":"292D"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing south east arrow"}},"key":"292E"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing north east arrow"}},"key":"292F"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing south east arrow"}},"key":"2930"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing north west arrow"}},"key":"2931"},{"category":"Sm","mappings":{"default":{"default":"north west arrow crossing north east arrow"}},"key":"2932"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly right"}},"key":"2933"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing right then curving up"}},"key":"2934"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing right then curving down"}},"key":"2935"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing down then curving left"}},"key":"2936"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing down then curving right"}},"key":"2937"},{"category":"Sm","mappings":{"default":{"default":"right side arc clockwise arrow"},"mathspeak":{"sbrief":"r side arc clockwise arrow"}},"key":"2938"},{"category":"Sm","mappings":{"default":{"default":"left side arc anticlockwise arrow"},"mathspeak":{"sbrief":"l side arc anticlockwise arrow"}},"key":"2939"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow"}},"key":"293A"},{"category":"Sm","mappings":{"default":{"default":"bottom arc anticlockwise arrow"}},"key":"293B"},{"category":"Sm","mappings":{"default":{"default":"top arc clockwise arrow with minus"}},"key":"293C"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow with plus"}},"key":"293D"},{"category":"Sm","mappings":{"default":{"default":"down right semicircular clockwise arrow"},"mathspeak":{"sbrief":"d r semicircular clockwise arrow"}},"key":"293E"},{"category":"Sm","mappings":{"default":{"default":"down left semicircular anticlockwise arrow"},"mathspeak":{"sbrief":"d l semicircular anticlockwise arrow"}},"key":"293F"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise closed circle arrow"}},"key":"2940"},{"category":"Sm","mappings":{"default":{"default":"clockwise closed circle arrow"}},"key":"2941"},{"category":"Sm","mappings":{"default":{"default":"right arrow above short left arrow"},"mathspeak":{"sbrief":"R arrow above short L arrow"}},"key":"2942"},{"category":"Sm","mappings":{"default":{"default":"left arrow above short right arrow"},"mathspeak":{"sbrief":"L arrow above short R arrow"}},"key":"2943"},{"category":"Sm","mappings":{"default":{"default":"short right arrow above left arrow"},"mathspeak":{"sbrief":"short R arrow above L arrow"}},"key":"2944"},{"category":"Sm","mappings":{"default":{"default":"right arrow with plus below"},"mathspeak":{"sbrief":"R arrow with plus below"}},"key":"2945"},{"category":"Sm","mappings":{"default":{"default":"left arrow with plus below"},"mathspeak":{"sbrief":"L arrow with plus below"}},"key":"2946"},{"category":"Sm","mappings":{"default":{"default":"right arrow through x"},"mathspeak":{"sbrief":"R arrow through x"}},"key":"2947"},{"category":"Sm","mappings":{"default":{"default":"left right arrow through small circle"},"mathspeak":{"sbrief":"L R arrow through small circle"}},"key":"2948"},{"category":"Sm","mappings":{"default":{"default":"up two headed arrow from small circle"},"mathspeak":{"sbrief":"U two headed arrow from small circle"}},"key":"2949"},{"category":"Sm","mappings":{"default":{"default":"right double arrow with rounded head"},"mathspeak":{"sbrief":"R double arrow with rounded head"}},"key":"2970"},{"category":"Sm","mappings":{"default":{"default":"equals sign above right arrow"},"mathspeak":{"sbrief":"equals sign above R arrow"}},"key":"2971"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above right arrow"},"mathspeak":{"sbrief":"tilde operator above R arrow"}},"key":"2972"},{"category":"Sm","mappings":{"default":{"default":"left arrow above tilde operator"},"mathspeak":{"sbrief":"L arrow above tilde operator"}},"key":"2973"},{"category":"Sm","mappings":{"default":{"default":"right arrow above tilde operator"},"mathspeak":{"sbrief":"R arrow above tilde operator"}},"key":"2974"},{"category":"Sm","mappings":{"default":{"default":"right arrow above almost equals"},"mathspeak":{"sbrief":"R arrow above almost equals"}},"key":"2975"},{"category":"Sm","mappings":{"default":{"default":"less than above left arrow"},"mathspeak":{"sbrief":"less than above L arrow"}},"key":"2976"},{"category":"Sm","mappings":{"default":{"default":"left arrow through less than"},"mathspeak":{"sbrief":"L arrow through less than"}},"key":"2977"},{"category":"Sm","mappings":{"default":{"default":"greater than above right arrow"},"mathspeak":{"sbrief":"greater than above R arrow"}},"key":"2978"},{"category":"Sm","mappings":{"default":{"default":"subset above right arrow"},"mathspeak":{"sbrief":"subset above R arrow"}},"key":"2979"},{"category":"Sm","mappings":{"default":{"default":"left arrow through subset"},"mathspeak":{"sbrief":"L arrow through subset"}},"key":"297A"},{"category":"Sm","mappings":{"default":{"default":"superset above left arrow"},"mathspeak":{"sbrief":"suerset above L arrow"}},"key":"297B"},{"category":"Sm","mappings":{"default":{"default":"empty set with right arrow above"},"mathspeak":{"sbrief":"empty set with R arrow above"}},"key":"29B3"},{"category":"Sm","mappings":{"default":{"default":"empty set with left arrow above"},"mathspeak":{"sbrief":"empty set with L arrow above"}},"key":"29B4"},{"category":"Sm","mappings":{"default":{"default":"up arrow through circle"},"mathspeak":{"sbrief":"U arrow through circle"}},"key":"29BD"},{"category":"Sm","mappings":{"default":{"default":"black diamond with down arrow"},"mathspeak":{"sbrief":"black diamond with D arrow"}},"key":"29EA"},{"category":"Sm","mappings":{"default":{"default":"white circle with down arrow"},"mathspeak":{"sbrief":"white circle with D arrow"}},"key":"29EC"},{"category":"Sm","mappings":{"default":{"default":"black circle with down arrow"},"mathspeak":{"sbrief":"black circle with D arrow"}},"key":"29ED"},{"category":"Sm","mappings":{"default":{"default":"integral with left arrow with hook"},"mathspeak":{"sbrief":"integral with L arrow with hook"}},"key":"2A17"},{"category":"So","mappings":{"default":{"default":"north east white arrow"}},"key":"2B00"},{"category":"So","mappings":{"default":{"default":"north west white arrow"}},"key":"2B01"},{"category":"So","mappings":{"default":{"default":"south east white arrow"}},"key":"2B02"},{"category":"So","mappings":{"default":{"default":"south west white arrow"}},"key":"2B03"},{"category":"So","mappings":{"default":{"default":"left right white arrow"},"mathspeak":{"sbrief":"L R white arrow"}},"key":"2B04"},{"category":"So","mappings":{"default":{"default":"left black arrow"},"mathspeak":{"sbrief":"L black arrow"}},"key":"2B05"},{"category":"So","mappings":{"default":{"default":"up black arrow"},"mathspeak":{"sbrief":"U black arrow"}},"key":"2B06"},{"category":"So","mappings":{"default":{"default":"down black arrow"},"mathspeak":{"sbrief":"D black arrow"}},"key":"2B07"},{"category":"So","mappings":{"default":{"default":"north east black arrow"}},"key":"2B08"},{"category":"So","mappings":{"default":{"default":"north west black arrow"}},"key":"2B09"},{"category":"So","mappings":{"default":{"default":"south east black arrow"}},"key":"2B0A"},{"category":"So","mappings":{"default":{"default":"south west black arrow"}},"key":"2B0B"},{"category":"So","mappings":{"default":{"default":"left right black arrow"},"mathspeak":{"sbrief":"L R black arrow"}},"key":"2B0C"},{"category":"So","mappings":{"default":{"default":"up down black arrow"},"mathspeak":{"sbrief":"U D black arrow"}},"key":"2B0D"},{"category":"So","mappings":{"default":{"default":"right arrow with tip down"},"mathspeak":{"sbrief":"R arrow with tip down"}},"key":"2B0E"},{"category":"So","mappings":{"default":{"default":"right arrow with tip up"},"mathspeak":{"sbrief":"R arrow with tip up"}},"key":"2B0F"},{"category":"So","mappings":{"default":{"default":"left arrow with tip down"},"mathspeak":{"sbrief":"L arrow with tip down"}},"key":"2B10"},{"category":"So","mappings":{"default":{"default":"left arrow with tip up"},"mathspeak":{"sbrief":"L arrow with tip up"}},"key":"2B11"},{"category":"Sm","mappings":{"default":{"default":"left arrow with small circle"},"mathspeak":{"sbrief":"L arrow with small circle"}},"key":"2B30"},{"category":"Sm","mappings":{"default":{"default":"three left arrows"},"mathspeak":{"sbrief":"three L arrows"}},"key":"2B31"},{"category":"Sm","mappings":{"default":{"default":"left arrow with circled plus"},"mathspeak":{"sbrief":"L arrow with circled plus"}},"key":"2B32"},{"category":"Sm","mappings":{"default":{"default":"long left squiggle arrow"},"mathspeak":{"sbrief":"long l squiggle arrow"}},"key":"2B33"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with vertical stroke"}},"key":"2B34"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with double vertical stroke"}},"key":"2B35"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow from bar"},"mathspeak":{"sbrief":"l two headed arrow from bar"}},"key":"2B36"},{"category":"Sm","mappings":{"default":{"default":"left two headed triple dash arrow"},"mathspeak":{"sbrief":"l two headed triple dash arrow"}},"key":"2B37"},{"category":"Sm","mappings":{"default":{"default":"left arrow with dotted stem"},"mathspeak":{"sbrief":"L arrow with dotted stem"}},"key":"2B38"},{"category":"Sm","mappings":{"default":{"default":"left arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"L arrow with tail with vertical stroke"}},"key":"2B39"},{"category":"Sm","mappings":{"default":{"default":"left arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"L arrow with tail with double vertical stroke"}},"key":"2B3A"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with tail"},"mathspeak":{"sbrief":"l two headed arrow with tail"}},"key":"2B3B"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with vertical stroke"}},"key":"2B3C"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with double vertical stroke"}},"key":"2B3D"},{"category":"Sm","mappings":{"default":{"default":"left arrow through x"},"mathspeak":{"sbrief":"L arrow through x"}},"key":"2B3E"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly left"}},"key":"2B3F"},{"category":"Sm","mappings":{"default":{"default":"equals sign above left arrow"},"mathspeak":{"sbrief":"equals sign above L arrow"}},"key":"2B40"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above left arrow"},"mathspeak":{"sbrief":"reverse tilde operator above L arrow"}},"key":"2B41"},{"category":"Sm","mappings":{"default":{"default":"left arrow above reverse almost equals"},"mathspeak":{"sbrief":"L arrow above reverse almost equals"}},"key":"2B42"},{"category":"Sm","mappings":{"default":{"default":"right arrow through greater than"},"mathspeak":{"sbrief":"R arrow through greater than"}},"key":"2B43"},{"category":"Sm","mappings":{"default":{"default":"right arrow through superset"},"mathspeak":{"sbrief":"R arrow through superset"}},"key":"2B44"},{"category":"So","mappings":{"default":{"default":"left quadruple arrow"},"mathspeak":{"sbrief":"l quadrule arrow"}},"key":"2B45"},{"category":"So","mappings":{"default":{"default":"right quadruple arrow"},"mathspeak":{"sbrief":"r quadrule arrow"}},"key":"2B46"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above right arrow"},"mathspeak":{"sbrief":"reverse tilde operator above R arrow"}},"key":"2B47"},{"category":"Sm","mappings":{"default":{"default":"right arrow above reverse almost equals"},"mathspeak":{"sbrief":"R arrow above reverse almost equals"}},"key":"2B48"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above left arrow"},"mathspeak":{"sbrief":"tilde operator above L arrow"}},"key":"2B49"},{"category":"Sm","mappings":{"default":{"default":"left arrow above almost equals"},"mathspeak":{"sbrief":"L arrow above almost equals"}},"key":"2B4A"},{"category":"Sm","mappings":{"default":{"default":"left arrow above reverse tilde operator"},"mathspeak":{"sbrief":"L arrow above reverse tilde operator"}},"key":"2B4B"},{"category":"Sm","mappings":{"default":{"default":"right arrow above reverse tilde operator"},"mathspeak":{"sbrief":"R arrow above reverse tilde operator"}},"key":"2B4C"},{"category":"Sm","mappings":{"default":{"default":"halfwidth left arrow"},"mathspeak":{"sbrief":"halfwidth L arrow"}},"key":"FFE9"},{"category":"Sm","mappings":{"default":{"default":"halfwidth up arrow"},"mathspeak":{"sbrief":"halfwidth U arrow"}},"key":"FFEA"},{"category":"Sm","mappings":{"default":{"default":"halfwidth right arrow"},"mathspeak":{"sbrief":"halfwidth R arrow"}},"key":"FFEB"},{"category":"Sm","mappings":{"default":{"default":"halfwidth down arrow"},"mathspeak":{"sbrief":"halfwidth D arrow"}},"key":"FFEC"}]
+,
+"en/symbols/math_characters.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"script l"}},"key":"2113"},{"category":"Sm","mappings":{"default":{"default":"script cap P"},"mathspeak":{"default":"script upper P"}},"key":"2118"},{"category":"Ll","mappings":{"default":{"default":"double struck pi"}},"key":"213C"},{"category":"Ll","mappings":{"default":{"default":"double struck gamma"}},"key":"213D"},{"category":"Lu","mappings":{"default":{"default":"double struck cap Gamma"},"mathspeak":{"default":"double struck upper Gamma"}},"key":"213E"},{"category":"Lu","mappings":{"default":{"default":"double struck cap Pi"},"mathspeak":{"default":"double struck upper Pi"}},"key":"213F"},{"category":"Sm","mappings":{"default":{"default":"double struck sum"},"mathspeak":{"default":"double struck sigma summation"}},"key":"2140"},{"category":"Lu","mappings":{"default":{"default":"double struck italic cap D"},"mathspeak":{"default":"double struck italic upper D"}},"key":"2145"},{"category":"Ll","mappings":{"default":{"default":"double struck italic d"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"double struck italic e"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"double struck italic i"}},"key":"2148"},{"category":"Ll","mappings":{"default":{"default":"double struck italic j"}},"key":"2149"},{"category":"Ll","mappings":{"default":{"default":"italic dotless i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"italic dotless j"}},"key":"1D6A5"}]
+,
+"en/symbols/math_delimiters.js": 
+[{"locale":"en"},{"category":"Ps","mappings":{"default":{"default":"left parenthesis"},"mathspeak":{"brief":"left p'ren","sbrief":"L p'ren"},"clearspeak":{"default":"open paren"}},"key":"0028"},{"category":"Pe","mappings":{"default":{"default":"right parenthesis"},"mathspeak":{"brief":"right p'ren","sbrief":"R p'ren"},"clearspeak":{"default":"close paren"}},"key":"0029"},{"category":"Ps","mappings":{"default":{"default":"left bracket"},"mathspeak":{"brief":"left brack","sbrief":"L brack"},"clearspeak":{"default":"open bracket"}},"key":"005B"},{"category":"Pe","mappings":{"default":{"default":"right bracket"},"mathspeak":{"brief":"right brack","sbrief":"R brack"},"clearspeak":{"default":"close bracket"}},"key":"005D"},{"category":"Ps","mappings":{"default":{"default":"left brace"},"mathspeak":{"sbrief":"L brace"},"clearspeak":{"default":"open brace"}},"key":"007B"},{"category":"Pe","mappings":{"default":{"default":"right brace"},"mathspeak":{"sbrief":"R brace"},"clearspeak":{"default":"close brace"}},"key":"007D"},{"category":"Ps","mappings":{"default":{"default":"left bracket with quill"},"mathspeak":{"brief":"left brack with quill","sbrief":"L brack with quill"}},"key":"2045"},{"category":"Pe","mappings":{"default":{"default":"right bracket with quill"},"mathspeak":{"brief":"right brack with quill","sbrief":"R brack with quill"}},"key":"2046"},{"category":"Sm","mappings":{"default":{"default":"left ceiling"}},"key":"2308"},{"category":"Sm","mappings":{"default":{"default":"right ceiling"}},"key":"2309"},{"category":"Sm","mappings":{"default":{"default":"left floor"}},"key":"230A"},{"category":"Sm","mappings":{"default":{"default":"right floor"}},"key":"230B"},{"category":"So","mappings":{"default":{"default":"bottom right crop"}},"key":"230C"},{"category":"So","mappings":{"default":{"default":"bottom left crop"}},"key":"230D"},{"category":"So","mappings":{"default":{"default":"top right crop"}},"key":"230E"},{"category":"So","mappings":{"default":{"default":"top left crop"}},"key":"230F"},{"category":"So","mappings":{"default":{"default":"top left corner"}},"key":"231C"},{"category":"So","mappings":{"default":{"default":"top right corner"}},"key":"231D"},{"category":"So","mappings":{"default":{"default":"bottom left corner"}},"key":"231E"},{"category":"So","mappings":{"default":{"default":"bottom right corner"}},"key":"231F"},{"category":"Sm","mappings":{"default":{"default":"top half integral"}},"key":"2320"},{"category":"Sm","mappings":{"default":{"default":"bottom half integral"}},"key":"2321"},{"category":"Ps","mappings":{"default":{"default":"left pointing angle bracket","physics":"bra"}},"key":"2329"},{"category":"Pe","mappings":{"default":{"default":"right pointing angle bracket","physics":"ket"}},"key":"232A"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis upper hook"},"mathspeak":{"brief":"left p'ren upper hook","sbrief":"L p'ren upper hook"}},"key":"239B"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis extension"},"mathspeak":{"brief":"left p'ren extension","sbrief":"L p'ren extension"}},"key":"239C"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis lower hook"},"mathspeak":{"brief":"left p'ren lower hook","sbrief":"L p'ren lower hook"}},"key":"239D"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis upper hook"},"mathspeak":{"brief":"right p'ren upper hook","sbrief":"R p'ren upper hook"}},"key":"239E"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis extension"},"mathspeak":{"brief":"right p'ren extension","sbrief":"R p'ren extension"}},"key":"239F"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis lower hook"},"mathspeak":{"brief":"right p'ren lower hook","sbrief":"R p'ren lower hook"}},"key":"23A0"},{"category":"Sm","mappings":{"default":{"default":"left bracket upper corner"},"mathspeak":{"brief":"left brack upper corner","sbrief":"L brack upper corner"}},"key":"23A1"},{"category":"Sm","mappings":{"default":{"default":"left bracket extension"},"mathspeak":{"brief":"left brack extension","sbrief":"L brack extension"}},"key":"23A2"},{"category":"Sm","mappings":{"default":{"default":"left bracket lower corner"},"mathspeak":{"brief":"left brack lower corner","sbrief":"L brack lower corner"}},"key":"23A3"},{"category":"Sm","mappings":{"default":{"default":"right bracket upper corner"},"mathspeak":{"brief":"right brack upper corner","sbrief":"R brack upper corner"}},"key":"23A4"},{"category":"Sm","mappings":{"default":{"default":"right bracket extension"},"mathspeak":{"brief":"right brack extension","sbrief":"R brack extension"}},"key":"23A5"},{"category":"Sm","mappings":{"default":{"default":"right bracket lower corner"},"mathspeak":{"brief":"right brack lower corner","sbrief":"R brack lower corner"}},"key":"23A6"},{"category":"Sm","mappings":{"default":{"default":"left brace upper hook"},"mathspeak":{"sbrief":"L brace upper hook"}},"key":"23A7"},{"category":"Sm","mappings":{"default":{"default":"left brace middle piece"},"mathspeak":{"sbrief":"L brace middle piece"}},"key":"23A8"},{"category":"Sm","mappings":{"default":{"default":"left brace lower hook"},"mathspeak":{"sbrief":"L brace lower hook"}},"key":"23A9"},{"category":"Sm","mappings":{"default":{"default":"brace extension"}},"key":"23AA"},{"category":"Sm","mappings":{"default":{"default":"right brace upper hook"},"mathspeak":{"sbrief":"R brace upper hook"}},"key":"23AB"},{"category":"Sm","mappings":{"default":{"default":"right brace middle piece"},"mathspeak":{"sbrief":"R brace middle piece"}},"key":"23AC"},{"category":"Sm","mappings":{"default":{"default":"right brace lower hook"},"mathspeak":{"sbrief":"R brace lower hook"}},"key":"23AD"},{"category":"Sm","mappings":{"default":{"default":"integral extension"}},"key":"23AE"},{"category":"Sm","mappings":{"default":{"default":"horizontal line extension"}},"key":"23AF"},{"category":"Sm","mappings":{"default":{"default":"upper left or lower right brace section"}},"key":"23B0"},{"category":"Sm","mappings":{"default":{"default":"upper right or lower left brace section"}},"key":"23B1"},{"category":"Sm","mappings":{"default":{"default":"summation top"}},"key":"23B2"},{"category":"Sm","mappings":{"default":{"default":"summation bottom"}},"key":"23B3"},{"category":"So","mappings":{"default":{"default":"top bracket"},"mathspeak":{"brief":"top brack","sbrief":"T brack"}},"key":"23B4"},{"category":"So","mappings":{"default":{"default":"bottom bracket"},"mathspeak":{"brief":"bottom brack","sbrief":"B brack"}},"key":"23B5"},{"category":"So","mappings":{"default":{"default":"bottom bracket over top bracket"},"mathspeak":{"brief":"bottom brack over top brack","sbrief":"B brack over T brack"}},"key":"23B6"},{"category":"So","mappings":{"default":{"default":"radical symbol bottom"}},"key":"23B7"},{"category":"So","mappings":{"default":{"default":"left vertical box line"}},"key":"23B8"},{"category":"So","mappings":{"default":{"default":"right vertical box line"}},"key":"23B9"},{"category":"Sm","mappings":{"default":{"default":"top parenthesis"},"mathspeak":{"brief":"top p'ren","sbrief":"t p'ren"}},"key":"23DC"},{"category":"Sm","mappings":{"default":{"default":"bottom parenthesis"},"mathspeak":{"brief":"bottom p'ren","sbrief":"b p'ren"}},"key":"23DD"},{"category":"Sm","mappings":{"default":{"default":"top brace"},"mathspeak":{"sbrief":"T brace"}},"key":"23DE"},{"category":"Sm","mappings":{"default":{"default":"bottom brace"},"mathspeak":{"sbrief":"B brace"}},"key":"23DF"},{"category":"Sm","mappings":{"default":{"default":"top tortoise shell bracket"}},"key":"23E0"},{"category":"Sm","mappings":{"default":{"default":"bottom tortoise shell bracket"}},"key":"23E1"},{"category":"Ps","mappings":{"default":{"default":"medium left parenthesis ornament"},"mathspeak":{"brief":"medium left p'ren ornament","sbrief":"medium L p'ren ornament"}},"key":"2768"},{"category":"Pe","mappings":{"default":{"default":"medium right parenthesis ornament"},"mathspeak":{"brief":"medium right p'ren ornament","sbrief":"medium R p'ren ornament"}},"key":"2769"},{"category":"Ps","mappings":{"default":{"default":"medium flattened left parenthesis ornament"},"mathspeak":{"brief":"medium flattened left p'ren ornament","sbrief":"medium flattened L p'ren ornament"}},"key":"276A"},{"category":"Pe","mappings":{"default":{"default":"medium flattened right parenthesis ornament"},"mathspeak":{"brief":"medium flattened right p'ren ornament","sbrief":"medium flattened R p'ren ornament"}},"key":"276B"},{"category":"Ps","mappings":{"default":{"default":"medium left pointing angle bracket ornament"}},"key":"276C"},{"category":"Pe","mappings":{"default":{"default":"medium right pointing angle bracket ornament"}},"key":"276D"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle quotation mark ornament"}},"key":"276E"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle quotation mark ornament"}},"key":"276F"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle bracket ornament"}},"key":"2770"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle bracket ornament"}},"key":"2771"},{"category":"Ps","mappings":{"default":{"default":"light left tortoise shell bracket ornament"}},"key":"2772"},{"category":"Pe","mappings":{"default":{"default":"light right tortoise shell bracket ornament"}},"key":"2773"},{"category":"Ps","mappings":{"default":{"default":"medium left brace ornament"},"mathspeak":{"sbrief":"medium L brace ornament"}},"key":"2774"},{"category":"Pe","mappings":{"default":{"default":"medium right brace ornament"},"mathspeak":{"sbrief":"medium R brace ornament"}},"key":"2775"},{"category":"Ps","mappings":{"default":{"default":"left s shaped bag delimiter"}},"key":"27C5"},{"category":"Pe","mappings":{"default":{"default":"right s shaped bag delimiter"}},"key":"27C6"},{"category":"Ps","mappings":{"default":{"default":"left white bracket"}},"key":"27E6"},{"category":"Pe","mappings":{"default":{"default":"right white bracket"}},"key":"27E7"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket"},"mathspeak":{"sbrief":"l angle bracket"}},"key":"27E8"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket"},"mathspeak":{"sbrief":"r angle bracket"}},"key":"27E9"},{"category":"Ps","mappings":{"default":{"default":"left double angle bracket"}},"key":"27EA"},{"category":"Pe","mappings":{"default":{"default":"right double angle bracket"}},"key":"27EB"},{"category":"Ps","mappings":{"default":{"default":"left white tortoise shell bracket"}},"key":"27EC"},{"category":"Pe","mappings":{"default":{"default":"right white tortoise shell bracket"}},"key":"27ED"},{"category":"Ps","mappings":{"default":{"default":"flattened left parenthesis"},"mathspeak":{"brief":"flattened left p'ren","sbrief":"flattened L p'ren"}},"key":"27EE"},{"category":"Pe","mappings":{"default":{"default":"flattened right parenthesis"},"mathspeak":{"brief":"flattened right p'ren","sbrief":"flattened R p'ren"}},"key":"27EF"},{"category":"Ps","mappings":{"default":{"default":"left white brace"}},"key":"2983"},{"category":"Pe","mappings":{"default":{"default":"right white brace"}},"key":"2984"},{"category":"Ps","mappings":{"default":{"default":"white left parenthesis"},"mathspeak":{"brief":"white left p'ren","sbrief":"white L p'ren"}},"key":"2985"},{"category":"Pe","mappings":{"default":{"default":"white right parenthesis"},"mathspeak":{"brief":"white right p'ren","sbrief":"white R p'ren"}},"key":"2986"},{"category":"Ps","mappings":{"default":{"default":"z notation left image bracket"}},"key":"2987"},{"category":"Pe","mappings":{"default":{"default":"z notation right image bracket"}},"key":"2988"},{"category":"Ps","mappings":{"default":{"default":"z notation left binding bracket"}},"key":"2989"},{"category":"Pe","mappings":{"default":{"default":"z notation right binding bracket"}},"key":"298A"},{"category":"Ps","mappings":{"default":{"default":"left bracket with underbar"},"mathspeak":{"brief":"left brack with underbar","sbrief":"L brack with underbar"}},"key":"298B"},{"category":"Pe","mappings":{"default":{"default":"right bracket with underbar"},"mathspeak":{"brief":"right brack with underbar","sbrief":"R brack with underbar"}},"key":"298C"},{"category":"Ps","mappings":{"default":{"default":"left bracket with tick in top corner"},"mathspeak":{"brief":"left brack with tick in top corner","sbrief":"L brack with tick in top corner"}},"key":"298D"},{"category":"Pe","mappings":{"default":{"default":"right bracket with tick in bottom corner"},"mathspeak":{"brief":"right brack with tick in bottom corner","sbrief":"R brack with tick in bottom corner"}},"key":"298E"},{"category":"Ps","mappings":{"default":{"default":"left bracket with tick in bottom corner"},"mathspeak":{"brief":"left brack with tick in bottom corner","sbrief":"L brack with tick in bottom corner"}},"key":"298F"},{"category":"Pe","mappings":{"default":{"default":"right bracket with tick in top corner"},"mathspeak":{"brief":"right brack with tick in top corner","sbrief":"R brack with tick in top corner"}},"key":"2990"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket with dot"},"mathspeak":{"sbrief":"l angle bracket with dot"}},"key":"2991"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket with dot"},"mathspeak":{"sbrief":"r angle bracket with dot"}},"key":"2992"},{"category":"Ps","mappings":{"default":{"default":"left arc less than bracket"}},"key":"2993"},{"category":"Pe","mappings":{"default":{"default":"right arc greater than bracket"}},"key":"2994"},{"category":"Ps","mappings":{"default":{"default":"double left arc greater than bracket"}},"key":"2995"},{"category":"Pe","mappings":{"default":{"default":"double right arc less than bracket"}},"key":"2996"},{"category":"Ps","mappings":{"default":{"default":"left black tortoise shell bracket"}},"key":"2997"},{"category":"Pe","mappings":{"default":{"default":"right black tortoise shell bracket"}},"key":"2998"},{"category":"Ps","mappings":{"default":{"default":"left wiggly fence"}},"key":"29D8"},{"category":"Pe","mappings":{"default":{"default":"right wiggly fence"}},"key":"29D9"},{"category":"Ps","mappings":{"default":{"default":"left double wiggly fence"}},"key":"29DA"},{"category":"Pe","mappings":{"default":{"default":"right double wiggly fence"}},"key":"29DB"},{"category":"Ps","mappings":{"default":{"default":"left pointing curved angle bracket"}},"key":"29FC"},{"category":"Pe","mappings":{"default":{"default":"right pointing curved angle bracket"}},"key":"29FD"},{"category":"Ps","mappings":{"default":{"default":"top half left bracket"},"mathspeak":{"brief":"top half left brack","sbrief":"top half L brack"}},"key":"2E22"},{"category":"Pe","mappings":{"default":{"default":"top half right bracket"},"mathspeak":{"brief":"top half right brack","sbrief":"top half R brack"}},"key":"2E23"},{"category":"Ps","mappings":{"default":{"default":"bottom half left bracket"},"mathspeak":{"brief":"bottom half left brack","sbrief":"bottom half L brack"}},"key":"2E24"},{"category":"Pe","mappings":{"default":{"default":"bottom half right bracket"},"mathspeak":{"brief":"bottom half right brack","sbrief":"bottom half R brack"}},"key":"2E25"},{"category":"Ps","mappings":{"default":{"default":"left sideways U bracket"}},"key":"2E26"},{"category":"Pe","mappings":{"default":{"default":"right sideways U bracket"}},"key":"2E27"},{"category":"Ps","mappings":{"default":{"default":"double left parenthesis"},"mathspeak":{"brief":"double left p'ren","sbrief":"double L p'ren"}},"key":"2E28"},{"category":"Pe","mappings":{"default":{"default":"double right parenthesis"},"mathspeak":{"brief":"double right p'ren","sbrief":"double R p'ren"}},"key":"2E29"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket"},"mathspeak":{"sbrief":"l angle bracket"}},"key":"3008"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket"},"mathspeak":{"sbrief":"r angle bracket"}},"key":"3009"},{"category":"Ps","mappings":{"default":{"default":"left double angle bracket"}},"key":"300A"},{"category":"Pe","mappings":{"default":{"default":"right double angle bracket"}},"key":"300B"},{"category":"Ps","mappings":{"default":{"default":"left corner bracket"}},"key":"300C"},{"category":"Pe","mappings":{"default":{"default":"right corner bracket"}},"key":"300D"},{"category":"Ps","mappings":{"default":{"default":"left white corner bracket"}},"key":"300E"},{"category":"Pe","mappings":{"default":{"default":"right white corner bracket"}},"key":"300F"},{"category":"Ps","mappings":{"default":{"default":"left black lenticular bracket"}},"key":"3010"},{"category":"Pe","mappings":{"default":{"default":"right black lenticular bracket"}},"key":"3011"},{"category":"Ps","mappings":{"default":{"default":"left tortoise shell bracket"}},"key":"3014"},{"category":"Pe","mappings":{"default":{"default":"right tortoise shell bracket"}},"key":"3015"},{"category":"Ps","mappings":{"default":{"default":"left white lenticular bracket"}},"key":"3016"},{"category":"Pe","mappings":{"default":{"default":"right white lenticular bracket"}},"key":"3017"},{"category":"Ps","mappings":{"default":{"default":"left white tortoise shell bracket"}},"key":"3018"},{"category":"Pe","mappings":{"default":{"default":"right white tortoise shell bracket"}},"key":"3019"},{"category":"Ps","mappings":{"default":{"default":"left white bracket"}},"key":"301A"},{"category":"Pe","mappings":{"default":{"default":"right white bracket"}},"key":"301B"},{"category":"Ps","mappings":{"default":{"default":"reversed double prime quotation mark"}},"key":"301D"},{"category":"Pe","mappings":{"default":{"default":"double prime quotation mark"}},"key":"301E"},{"category":"Pe","mappings":{"default":{"default":"low double prime quotation mark"}},"key":"301F"},{"category":"Ps","mappings":{"default":{"default":"ornate left parenthesis"},"mathspeak":{"brief":"ornate left p'ren","sbrief":"ornate L p'ren"}},"key":"FD3E"},{"category":"Pe","mappings":{"default":{"default":"ornate right parenthesis"},"mathspeak":{"brief":"ornate right p'ren","sbrief":"ornate R p'ren"}},"key":"FD3F"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white lenticular bracket"}},"key":"FE17"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white lenticular brakcet"}},"key":"FE18"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left parenthesis"},"mathspeak":{"brief":"presentation form for vertical left p'ren","sbrief":"presentation form for vertical L p'ren"}},"key":"FE35"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right parenthesis"},"mathspeak":{"brief":"presentation form for vertical right p'ren","sbrief":"presentation form for vertical R p'ren"}},"key":"FE36"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left brace"},"mathspeak":{"sbrief":"presentation form for vertical L brace"}},"key":"FE37"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right brace"},"mathspeak":{"sbrief":"presentation form for vertical r brace"}},"key":"FE38"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left tortoise shell bracket"}},"key":"FE39"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right tortoise shell bracket"}},"key":"FE3A"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left black lenticular bracket"}},"key":"FE3B"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right black lenticular bracket"}},"key":"FE3C"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left double angle bracket"}},"key":"FE3D"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right double angle bracket"}},"key":"FE3E"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left angle bracket"},"mathspeak":{"sbrief":"presentation form for vertical l angle bracket"}},"key":"FE3F"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right angle bracket"},"mathspeak":{"sbrief":"presentation form for vertical r angle bracket"}},"key":"FE40"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left corner bracket"}},"key":"FE41"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right corner bracket"}},"key":"FE42"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white corner bracket"}},"key":"FE43"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white corner bracket"}},"key":"FE44"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left bracket"},"mathspeak":{"brief":"presentation form for vertical left brack","sbrief":"presentation form for vertical L brack"}},"key":"FE47"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right bracket"},"mathspeak":{"brief":"presentation form for vertical right brack","sbrief":"presentation form for vertical r brack"}},"key":"FE48"},{"category":"Ps","mappings":{"default":{"default":"small left parenthesis"},"mathspeak":{"brief":"small left p'ren","sbrief":"small L p'ren"}},"key":"FE59"},{"category":"Pe","mappings":{"default":{"default":"small right parenthesis"},"mathspeak":{"brief":"small right p'ren","sbrief":"small R p'ren"}},"key":"FE5A"},{"category":"Ps","mappings":{"default":{"default":"small left brace"},"mathspeak":{"sbrief":"small L brace"}},"key":"FE5B"},{"category":"Pe","mappings":{"default":{"default":"small right brace"},"mathspeak":{"sbrief":"small r brace"}},"key":"FE5C"},{"category":"Ps","mappings":{"default":{"default":"small left tortoise shell bracket"}},"key":"FE5D"},{"category":"Pe","mappings":{"default":{"default":"small right tortoise shell bracket"}},"key":"FE5E"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left parenthesis"},"mathspeak":{"brief":"fullwidth left p'ren","sbrief":"fullwidth L p'ren"}},"key":"FF08"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right parenthesis"},"mathspeak":{"brief":"fullwidth right p'ren","sbrief":"fullwidth R p'ren"}},"key":"FF09"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left bracket"},"mathspeak":{"brief":"fullwidth left brack","sbrief":"fullwidth L brack"}},"key":"FF3B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right bracket"},"mathspeak":{"brief":"fullwidth right brack","sbrief":"fullwidth r brack"}},"key":"FF3D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left brace"},"mathspeak":{"sbrief":"fullwidth L brace"}},"key":"FF5B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right brace"},"mathspeak":{"sbrief":"fullwidth r brace"}},"key":"FF5D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth white left parenthesis"},"mathspeak":{"brief":"fullwidth white left p'ren","sbrief":"fullwidth white L p'ren"}},"key":"FF5F"},{"category":"Pe","mappings":{"default":{"default":"fullwidth white right parenthesis"},"mathspeak":{"brief":"fullwidth white right p'ren","sbrief":"fullwidth white R p'ren"}},"key":"FF60"},{"category":"Ps","mappings":{"default":{"default":"halfwidth left corner bracket"}},"key":"FF62"},{"category":"Pe","mappings":{"default":{"default":"halfwidth right corner bracket"}},"key":"FF63"}]
+,
+"en/symbols/math_geometry.js": 
+[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"box drawings light horizontal"}},"key":"2500"},{"category":"So","mappings":{"default":{"default":"box drawings heavy horizontal"}},"key":"2501"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical"}},"key":"2502"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical"}},"key":"2503"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash horizontal"}},"key":"2504"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash horizontal"}},"key":"2505"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash vertical"}},"key":"2506"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash vertical"}},"key":"2507"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash horizontal"}},"key":"2508"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash horizontal"}},"key":"2509"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash vertical"}},"key":"250A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash vertical"}},"key":"250B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and right"}},"key":"250C"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right heavy"}},"key":"250D"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right light"}},"key":"250E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and right"}},"key":"250F"},{"category":"So","mappings":{"default":{"default":"box drawings light down and left"}},"key":"2510"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left heavy"}},"key":"2511"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left light"}},"key":"2512"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and left"}},"key":"2513"},{"category":"So","mappings":{"default":{"default":"box drawings light up and right"}},"key":"2514"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right heavy"}},"key":"2515"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right light"}},"key":"2516"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and right"}},"key":"2517"},{"category":"So","mappings":{"default":{"default":"box drawings light up and left"}},"key":"2518"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left heavy"}},"key":"2519"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left light"}},"key":"251A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and left"}},"key":"251B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and right"}},"key":"251C"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and right heavy"}},"key":"251D"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right down light"}},"key":"251E"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right up light"}},"key":"251F"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and right light"}},"key":"2520"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right up heavy"}},"key":"2521"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right down heavy"}},"key":"2522"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and right"}},"key":"2523"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and left"}},"key":"2524"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and left heavy"}},"key":"2525"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left down light"}},"key":"2526"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left up light"}},"key":"2527"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and left light"}},"key":"2528"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left up heavy"}},"key":"2529"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left down heavy"}},"key":"252A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and left"}},"key":"252B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and horizontal"}},"key":"252C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right down light"}},"key":"252D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left down light"}},"key":"252E"},{"category":"So","mappings":{"default":{"default":"box drawings down light and horizontal heavy"}},"key":"252F"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and horizontal light"}},"key":"2530"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left down heavy"}},"key":"2531"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right down heavy"}},"key":"2532"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and horizontal"}},"key":"2533"},{"category":"So","mappings":{"default":{"default":"box drawings light up and horizontal"}},"key":"2534"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right up light"}},"key":"2535"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left up light"}},"key":"2536"},{"category":"So","mappings":{"default":{"default":"box drawings up light and horizontal heavy"}},"key":"2537"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and horizontal light"}},"key":"2538"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left up heavy"}},"key":"2539"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right up heavy"}},"key":"253A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and horizontal"}},"key":"253B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and horizontal"}},"key":"253C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right vertical light"}},"key":"253D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left vertical light"}},"key":"253E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and horizontal heavy"}},"key":"253F"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and down horizontal light"}},"key":"2540"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and up horizontal light"}},"key":"2541"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and horizontal light"}},"key":"2542"},{"category":"So","mappings":{"default":{"default":"box drawings left up heavy and right down light"}},"key":"2543"},{"category":"So","mappings":{"default":{"default":"box drawings right up heavy and left down light"}},"key":"2544"},{"category":"So","mappings":{"default":{"default":"box drawings left down heavy and right up light"}},"key":"2545"},{"category":"So","mappings":{"default":{"default":"box drawings right down heavy and left up light"}},"key":"2546"},{"category":"So","mappings":{"default":{"default":"box drawings down light and up horizontal heavy"}},"key":"2547"},{"category":"So","mappings":{"default":{"default":"box drawings up light and down horizontal heavy"}},"key":"2548"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left vertical heavy"}},"key":"2549"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right vertical heavy"}},"key":"254A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and horizontal"}},"key":"254B"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash horizontal"}},"key":"254C"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash horizontal"}},"key":"254D"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash vertical"}},"key":"254E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash vertical"}},"key":"254F"},{"category":"So","mappings":{"default":{"default":"box drawings double horizontal"}},"key":"2550"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical"}},"key":"2551"},{"category":"So","mappings":{"default":{"default":"box drawings down single and right double"}},"key":"2552"},{"category":"So","mappings":{"default":{"default":"box drawings down double and right single"}},"key":"2553"},{"category":"So","mappings":{"default":{"default":"box drawings double down and right"}},"key":"2554"},{"category":"So","mappings":{"default":{"default":"box drawings down single and left double"}},"key":"2555"},{"category":"So","mappings":{"default":{"default":"box drawings down double and left single"}},"key":"2556"},{"category":"So","mappings":{"default":{"default":"box drawings double down and left"}},"key":"2557"},{"category":"So","mappings":{"default":{"default":"box drawings up single and right double"}},"key":"2558"},{"category":"So","mappings":{"default":{"default":"box drawings up double and right single"}},"key":"2559"},{"category":"So","mappings":{"default":{"default":"box drawings double up and right"}},"key":"255A"},{"category":"So","mappings":{"default":{"default":"box drawings up single and left double"}},"key":"255B"},{"category":"So","mappings":{"default":{"default":"box drawings up double and left single"}},"key":"255C"},{"category":"So","mappings":{"default":{"default":"box drawings double up and left"}},"key":"255D"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and right double"}},"key":"255E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and right single"}},"key":"255F"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and right"}},"key":"2560"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and left double"}},"key":"2561"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and left single"}},"key":"2562"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and left"}},"key":"2563"},{"category":"So","mappings":{"default":{"default":"box drawings down single and horizontal double"}},"key":"2564"},{"category":"So","mappings":{"default":{"default":"box drawings down double and horizontal single"}},"key":"2565"},{"category":"So","mappings":{"default":{"default":"box drawings double down and horizontal"}},"key":"2566"},{"category":"So","mappings":{"default":{"default":"box drawings up single and horizontal double"}},"key":"2567"},{"category":"So","mappings":{"default":{"default":"box drawings up double and horizontal single"}},"key":"2568"},{"category":"So","mappings":{"default":{"default":"box drawings double up and horizontal"}},"key":"2569"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and horizontal double"}},"key":"256A"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and horizontal single"}},"key":"256B"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and horizontal"}},"key":"256C"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and right"}},"key":"256D"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and left"}},"key":"256E"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and left"}},"key":"256F"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and right"}},"key":"2570"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper right to lower left"}},"key":"2571"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper left to lower right"}},"key":"2572"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal cross"}},"key":"2573"},{"category":"So","mappings":{"default":{"default":"box drawings light left"}},"key":"2574"},{"category":"So","mappings":{"default":{"default":"box drawings light up"}},"key":"2575"},{"category":"So","mappings":{"default":{"default":"box drawings light right"}},"key":"2576"},{"category":"So","mappings":{"default":{"default":"box drawings light down"}},"key":"2577"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left"}},"key":"2578"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up"}},"key":"2579"},{"category":"So","mappings":{"default":{"default":"box drawings heavy right"}},"key":"257A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down"}},"key":"257B"},{"category":"So","mappings":{"default":{"default":"box drawings light left and heavy right"}},"key":"257C"},{"category":"So","mappings":{"default":{"default":"box drawings light up and heavy down"}},"key":"257D"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left and light right"}},"key":"257E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and light down"}},"key":"257F"},{"category":"So","mappings":{"default":{"default":"upper half block"}},"key":"2580"},{"category":"So","mappings":{"default":{"default":"lower one eighth block"}},"key":"2581"},{"category":"So","mappings":{"default":{"default":"lower one quarter block"}},"key":"2582"},{"category":"So","mappings":{"default":{"default":"lower three eighths block"}},"key":"2583"},{"category":"So","mappings":{"default":{"default":"lower half block"}},"key":"2584"},{"category":"So","mappings":{"default":{"default":"lower five eighths block"}},"key":"2585"},{"category":"So","mappings":{"default":{"default":"lower three quarters block"}},"key":"2586"},{"category":"So","mappings":{"default":{"default":"lower seven eighths block"}},"key":"2587"},{"category":"So","mappings":{"default":{"default":"full block"}},"key":"2588"},{"category":"So","mappings":{"default":{"default":"left seven eighths block"}},"key":"2589"},{"category":"So","mappings":{"default":{"default":"left three quarters block"}},"key":"258A"},{"category":"So","mappings":{"default":{"default":"left five eighths block"}},"key":"258B"},{"category":"So","mappings":{"default":{"default":"left half block"}},"key":"258C"},{"category":"So","mappings":{"default":{"default":"left three eighths block"}},"key":"258D"},{"category":"So","mappings":{"default":{"default":"left one quarter block"}},"key":"258E"},{"category":"So","mappings":{"default":{"default":"left one eighth block"}},"key":"258F"},{"category":"So","mappings":{"default":{"default":"right half block"}},"key":"2590"},{"category":"So","mappings":{"default":{"default":"light shade"}},"key":"2591"},{"category":"So","mappings":{"default":{"default":"medium shade"}},"key":"2592"},{"category":"So","mappings":{"default":{"default":"dark shade"}},"key":"2593"},{"category":"So","mappings":{"default":{"default":"upper one eighth block"}},"key":"2594"},{"category":"So","mappings":{"default":{"default":"right one eighth block"}},"key":"2595"},{"category":"So","mappings":{"default":{"default":"quadrant lower left"}},"key":"2596"},{"category":"So","mappings":{"default":{"default":"quadrant lower right"}},"key":"2597"},{"category":"So","mappings":{"default":{"default":"quadrant upper left"}},"key":"2598"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower left and lower right"}},"key":"2599"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower right"}},"key":"259A"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower left"}},"key":"259B"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower right"}},"key":"259C"},{"category":"So","mappings":{"default":{"default":"quadrant upper right"}},"key":"259D"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left"}},"key":"259E"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left and lower right"}},"key":"259F"},{"category":"So","mappings":{"default":{"default":"black square"}},"key":"25A0"},{"category":"So","mappings":{"default":{"default":"white square"}},"key":"25A1"},{"category":"So","mappings":{"default":{"default":"white square with rounded corners"}},"key":"25A2"},{"category":"So","mappings":{"default":{"default":"white square containing black small square"}},"key":"25A3"},{"category":"So","mappings":{"default":{"default":"square with horizontal fill"}},"key":"25A4"},{"category":"So","mappings":{"default":{"default":"square with vertical fill"}},"key":"25A5"},{"category":"So","mappings":{"default":{"default":"square with orthogonal crosshatch fill"}},"key":"25A6"},{"category":"So","mappings":{"default":{"default":"square with upper left to lower right fill"}},"key":"25A7"},{"category":"So","mappings":{"default":{"default":"square with upper right to lower left fill"}},"key":"25A8"},{"category":"So","mappings":{"default":{"default":"square with diagonal crosshatch fill"}},"key":"25A9"},{"category":"So","mappings":{"default":{"default":"black small square"}},"key":"25AA"},{"category":"So","mappings":{"default":{"default":"white small square"}},"key":"25AB"},{"category":"So","mappings":{"default":{"default":"black rectangle"}},"key":"25AC"},{"category":"So","mappings":{"default":{"default":"white rectangle"}},"key":"25AD"},{"category":"So","mappings":{"default":{"default":"black vertical rectangle"}},"key":"25AE"},{"category":"So","mappings":{"default":{"default":"white vertical rectangle"}},"key":"25AF"},{"category":"So","mappings":{"default":{"default":"black parallelogram"}},"key":"25B0"},{"category":"So","mappings":{"default":{"default":"white parallelogram"}},"key":"25B1"},{"category":"So","mappings":{"default":{"default":"black up pointing triangle"}},"key":"25B2"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle"}},"key":"25B3"},{"category":"So","mappings":{"default":{"default":"black up pointing small triangle"}},"key":"25B4"},{"category":"So","mappings":{"default":{"default":"white up pointing small triangle"}},"key":"25B5"},{"category":"So","mappings":{"default":{"default":"black right pointing triangle"}},"key":"25B6"},{"category":"Sm","mappings":{"default":{"default":"white right pointing triangle"}},"key":"25B7"},{"category":"So","mappings":{"default":{"default":"black right pointing small triangle"}},"key":"25B8"},{"category":"So","mappings":{"default":{"default":"white right pointing small triangle"}},"key":"25B9"},{"category":"So","mappings":{"default":{"default":"black right pointing pointer"}},"key":"25BA"},{"category":"So","mappings":{"default":{"default":"white right pointing pointer"}},"key":"25BB"},{"category":"So","mappings":{"default":{"default":"black down pointing triangle"}},"key":"25BC"},{"category":"So","mappings":{"default":{"default":"white down pointing triangle"}},"key":"25BD"},{"category":"So","mappings":{"default":{"default":"black down pointing small triangle"}},"key":"25BE"},{"category":"So","mappings":{"default":{"default":"white down pointing small triangle"}},"key":"25BF"},{"category":"So","mappings":{"default":{"default":"black left pointing triangle"}},"key":"25C0"},{"category":"Sm","mappings":{"default":{"default":"white left pointing triangle"}},"key":"25C1"},{"category":"So","mappings":{"default":{"default":"black left pointing small triangle"}},"key":"25C2"},{"category":"So","mappings":{"default":{"default":"white left pointing small triangle"}},"key":"25C3"},{"category":"So","mappings":{"default":{"default":"black left pointing pointer"}},"key":"25C4"},{"category":"So","mappings":{"default":{"default":"white left pointing pointer"}},"key":"25C5"},{"category":"So","mappings":{"default":{"default":"black diamond"}},"key":"25C6"},{"category":"So","mappings":{"default":{"default":"white diamond"}},"key":"25C7"},{"category":"So","mappings":{"default":{"default":"white diamond containing black small diamond"}},"key":"25C8"},{"category":"So","mappings":{"default":{"default":"fisheye"}},"key":"25C9"},{"category":"So","mappings":{"default":{"default":"lozenge"}},"key":"25CA"},{"category":"So","mappings":{"default":{"default":"white circle"}},"key":"25CB"},{"category":"So","mappings":{"default":{"default":"dotted circle"}},"key":"25CC"},{"category":"So","mappings":{"default":{"default":"circle with vertical fill"}},"key":"25CD"},{"category":"So","mappings":{"default":{"default":"bullseye"}},"key":"25CE"},{"category":"So","mappings":{"default":{"default":"black circle"}},"key":"25CF"},{"category":"So","mappings":{"default":{"default":"circle with left half black"}},"key":"25D0"},{"category":"So","mappings":{"default":{"default":"circle with right half black"}},"key":"25D1"},{"category":"So","mappings":{"default":{"default":"circle with lower half black"}},"key":"25D2"},{"category":"So","mappings":{"default":{"default":"circle with upper half black"}},"key":"25D3"},{"category":"So","mappings":{"default":{"default":"circle with upper right quadrant black"}},"key":"25D4"},{"category":"So","mappings":{"default":{"default":"circle with all but upper left quadrant black"}},"key":"25D5"},{"category":"So","mappings":{"default":{"default":"left half black circle"}},"key":"25D6"},{"category":"So","mappings":{"default":{"default":"right half black circle"}},"key":"25D7"},{"category":"So","mappings":{"default":{"default":"inverse bullet"}},"key":"25D8"},{"category":"So","mappings":{"default":{"default":"inverse white circle"}},"key":"25D9"},{"category":"So","mappings":{"default":{"default":"upper half inverse white circle"}},"key":"25DA"},{"category":"So","mappings":{"default":{"default":"lower half inverse white circle"}},"key":"25DB"},{"category":"So","mappings":{"default":{"default":"upper left quadrant circular arc"}},"key":"25DC"},{"category":"So","mappings":{"default":{"default":"upper right quadrant circular arc"}},"key":"25DD"},{"category":"So","mappings":{"default":{"default":"lower right quadrant circular arc"}},"key":"25DE"},{"category":"So","mappings":{"default":{"default":"lower left quadrant circular arc"}},"key":"25DF"},{"category":"So","mappings":{"default":{"default":"upper half circle"}},"key":"25E0"},{"category":"So","mappings":{"default":{"default":"lower half circle"}},"key":"25E1"},{"category":"So","mappings":{"default":{"default":"black lower right triangle"}},"key":"25E2"},{"category":"So","mappings":{"default":{"default":"black lower left triangle"}},"key":"25E3"},{"category":"So","mappings":{"default":{"default":"black upper left triangle"}},"key":"25E4"},{"category":"So","mappings":{"default":{"default":"black upper right triangle"}},"key":"25E5"},{"category":"So","mappings":{"default":{"default":"white bullet"}},"key":"25E6"},{"category":"So","mappings":{"default":{"default":"square with left half black"}},"key":"25E7"},{"category":"So","mappings":{"default":{"default":"square with right half black"}},"key":"25E8"},{"category":"So","mappings":{"default":{"default":"square with upper left diagonal half black"}},"key":"25E9"},{"category":"So","mappings":{"default":{"default":"square with lower right diagonal half black"}},"key":"25EA"},{"category":"So","mappings":{"default":{"default":"white square with vertical bisecting line"}},"key":"25EB"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle with dot"}},"key":"25EC"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with left half black"}},"key":"25ED"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with right half black"}},"key":"25EE"},{"category":"So","mappings":{"default":{"default":"large circle"}},"key":"25EF"},{"category":"So","mappings":{"default":{"default":"white square with upper left quadrant"}},"key":"25F0"},{"category":"So","mappings":{"default":{"default":"white square with lower left quadrant"}},"key":"25F1"},{"category":"So","mappings":{"default":{"default":"white square with lower right quadrant"}},"key":"25F2"},{"category":"So","mappings":{"default":{"default":"white square with upper right quadrant"}},"key":"25F3"},{"category":"So","mappings":{"default":{"default":"white circle with upper left quadrant"}},"key":"25F4"},{"category":"So","mappings":{"default":{"default":"white circle with lower left quadrant"}},"key":"25F5"},{"category":"So","mappings":{"default":{"default":"white circle with lower right quadrant"}},"key":"25F6"},{"category":"So","mappings":{"default":{"default":"white circle with upper right quadrant"}},"key":"25F7"},{"category":"Sm","mappings":{"default":{"default":"upper left triangle"}},"key":"25F8"},{"category":"Sm","mappings":{"default":{"default":"upper right triangle"}},"key":"25F9"},{"category":"Sm","mappings":{"default":{"default":"lower left triangle"}},"key":"25FA"},{"category":"Sm","mappings":{"default":{"default":"white medium square"}},"key":"25FB"},{"category":"Sm","mappings":{"default":{"default":"black medium square"}},"key":"25FC"},{"category":"Sm","mappings":{"default":{"default":"white medium small square"}},"key":"25FD"},{"category":"Sm","mappings":{"default":{"default":"black medium small square"}},"key":"25FE"},{"category":"Sm","mappings":{"default":{"default":"lower right triangle"}},"key":"25FF"},{"category":"So","mappings":{"default":{"default":"square with top half black"}},"key":"2B12"},{"category":"So","mappings":{"default":{"default":"square with bottom half black"}},"key":"2B13"},{"category":"So","mappings":{"default":{"default":"square with upper right diagonal half black"}},"key":"2B14"},{"category":"So","mappings":{"default":{"default":"square with lower left diagonal half black"}},"key":"2B15"},{"category":"So","mappings":{"default":{"default":"diamond with left half black"}},"key":"2B16"},{"category":"So","mappings":{"default":{"default":"diamond with right half black"}},"key":"2B17"},{"category":"So","mappings":{"default":{"default":"diamond with top half black"}},"key":"2B18"},{"category":"So","mappings":{"default":{"default":"diamond with bottom half black"}},"key":"2B19"},{"category":"So","mappings":{"default":{"default":"dotted square"}},"key":"2B1A"},{"category":"So","mappings":{"default":{"default":"black large square"}},"key":"2B1B"},{"category":"So","mappings":{"default":{"default":"white large square"}},"key":"2B1C"},{"category":"So","mappings":{"default":{"default":"black very small square"}},"key":"2B1D"},{"category":"So","mappings":{"default":{"default":"white very small square"}},"key":"2B1E"},{"category":"So","mappings":{"default":{"default":"black pentagon"}},"key":"2B1F"},{"category":"So","mappings":{"default":{"default":"white pentagon"}},"key":"2B20"},{"category":"So","mappings":{"default":{"default":"white hexagon"}},"key":"2B21"},{"category":"So","mappings":{"default":{"default":"black hexagon"}},"key":"2B22"},{"category":"So","mappings":{"default":{"default":"horizontal black hexagon"}},"key":"2B23"},{"category":"So","mappings":{"default":{"default":"black large circle"}},"key":"2B24"},{"category":"So","mappings":{"default":{"default":"black medium diamond"}},"key":"2B25"},{"category":"So","mappings":{"default":{"default":"white medium diamond"}},"key":"2B26"},{"category":"So","mappings":{"default":{"default":"black medium lozenge"}},"key":"2B27"},{"category":"So","mappings":{"default":{"default":"white medium lozenge"}},"key":"2B28"},{"category":"So","mappings":{"default":{"default":"black small diamond"}},"key":"2B29"},{"category":"So","mappings":{"default":{"default":"black small lozenge"}},"key":"2B2A"},{"category":"So","mappings":{"default":{"default":"white small lozenge"}},"key":"2B2B"},{"category":"So","mappings":{"default":{"default":"black horizontal ellipse"}},"key":"2B2C"},{"category":"So","mappings":{"default":{"default":"white horizontal ellipse"}},"key":"2B2D"},{"category":"So","mappings":{"default":{"default":"black vertical ellipse"}},"key":"2B2E"},{"category":"So","mappings":{"default":{"default":"white vertical ellipse"}},"key":"2B2F"},{"category":"So","mappings":{"default":{"default":"white medium star"}},"key":"2B50"},{"category":"So","mappings":{"default":{"default":"black small star"}},"key":"2B51"},{"category":"So","mappings":{"default":{"default":"white small star"}},"key":"2B52"},{"category":"So","mappings":{"default":{"default":"black right pointing pentagon"}},"key":"2B53"},{"category":"So","mappings":{"default":{"default":"white right pointing pentagon"}},"key":"2B54"},{"category":"So","mappings":{"default":{"default":"heavy large circle"}},"key":"2B55"},{"category":"So","mappings":{"default":{"default":"heavy oval with oval inside"}},"key":"2B56"},{"category":"So","mappings":{"default":{"default":"heavy circle with circle inside"}},"key":"2B57"},{"category":"So","mappings":{"default":{"default":"heavy circle"}},"key":"2B58"},{"category":"So","mappings":{"default":{"default":"heavy circled saltire"}},"key":"2B59"}]
+,
+"en/symbols/math_harpoons.js": 
+[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"left harpoon with barb up"}},"key":"21BC"},{"category":"So","mappings":{"default":{"default":"left harpoon with barb down"}},"key":"21BD"},{"category":"So","mappings":{"default":{"default":"up harpoon with barb right"}},"key":"21BE"},{"category":"So","mappings":{"default":{"default":"up harpoon with barb left"}},"key":"21BF"},{"category":"So","mappings":{"default":{"default":"right harpoon with barb up"}},"key":"21C0"},{"category":"So","mappings":{"default":{"default":"right harpoon with barb down"}},"key":"21C1"},{"category":"So","mappings":{"default":{"default":"down harpoon with barb right"}},"key":"21C2"},{"category":"So","mappings":{"default":{"default":"down harpoon with barb left"}},"key":"21C3"},{"category":"So","mappings":{"default":{"default":"left harpoon over right harpoon"}},"key":"21CB"},{"category":"So","mappings":{"default":{"default":"right harpoon over left harpoon"}},"key":"21CC"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb down harpoon"}},"key":"294A"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb up harpoon"}},"key":"294B"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb left harpoon"}},"key":"294C"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb right harpoon"}},"key":"294D"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb up harpoon"}},"key":"294E"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb right harpoon"}},"key":"294F"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb down harpoon"}},"key":"2950"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb left harpoon"}},"key":"2951"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up to bar"}},"key":"2952"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up to bar"}},"key":"2953"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb right to bar"}},"key":"2954"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb right to bar"}},"key":"2955"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down to bar"}},"key":"2956"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down to bar"}},"key":"2957"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left to bar"}},"key":"2958"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left to bar"}},"key":"2959"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up from bar"}},"key":"295A"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up from bar"}},"key":"295B"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb right from bar"}},"key":"295C"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb right from bar"}},"key":"295D"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down from bar"}},"key":"295E"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down from bar"}},"key":"295F"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left from bar"}},"key":"2960"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left from bar"}},"key":"2961"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up above left harpoon with barb down"}},"key":"2962"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left beside up harpoon with barb right"}},"key":"2963"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up above right harpoon with barb down"}},"key":"2964"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left beside down harpoon with barb right"}},"key":"2965"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up above right harpoon with barb up"}},"key":"2966"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down above right harpoon with barb down"}},"key":"2967"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up above left harpoon with barb up"}},"key":"2968"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down above left harpoon with barb down"}},"key":"2969"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up above long dash"}},"key":"296A"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down below long dash"}},"key":"296B"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up above long dash"}},"key":"296C"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down below long dash"}},"key":"296D"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left beside down harpoon with barb right"}},"key":"296E"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left beside up harpoon with barb right"}},"key":"296F"},{"category":"Sm","mappings":{"default":{"default":"left fish tail"}},"key":"297C"},{"category":"Sm","mappings":{"default":{"default":"right fish tail"}},"key":"297D"},{"category":"Sm","mappings":{"default":{"default":"up fish tail"}},"key":"297E"},{"category":"Sm","mappings":{"default":{"default":"down fish tail"}},"key":"297F"}]
+,
+"en/symbols/math_non_characters.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"italic h over two pi","physics":"planck constant over two pi"}},"key":"210F"},{"category":"So","mappings":{"default":{"default":"l b bar"}},"key":"2114"},{"category":"So","mappings":{"default":{"default":"numero"}},"key":"2116"},{"category":"So","mappings":{"default":{"default":"sound recording copyright"}},"key":"2117"},{"category":"So","mappings":{"default":{"default":"prescription take"}},"key":"211E"},{"category":"So","mappings":{"default":{"default":"response"}},"key":"211F"},{"category":"So","mappings":{"default":{"default":"service mark"}},"key":"2120"},{"category":"So","mappings":{"default":{"default":"telephone sign","alternative":"t e l symbol"}},"key":"2121"},{"category":"So","mappings":{"default":{"default":"trade mark"}},"key":"2122"},{"category":"So","mappings":{"default":{"default":"versicle"}},"key":"2123"},{"category":"So","mappings":{"default":{"default":"ounce"}},"key":"2125"},{"category":"Lu","mappings":{"default":{"default":"ohm"}},"key":"2126"},{"category":"So","mappings":{"default":{"default":"inverted ohm"}},"key":"2127"},{"category":"Lu","mappings":{"default":{"default":"kelvin"}},"key":"212A"},{"category":"Lu","mappings":{"default":{"default":"angstrom"}},"key":"212B"},{"category":"So","mappings":{"default":{"default":"estimated"}},"key":"212E"},{"category":"Lu","mappings":{"default":{"default":"turned cap F"},"mathspeak":{"default":"turned upper F"}},"key":"2132"},{"category":"Ll","mappings":{"default":{"default":"information source"}},"key":"2139"},{"category":"So","mappings":{"default":{"default":"rotated cap Q"},"mathspeak":{"default":"rotated upper Q"}},"key":"213A"},{"category":"So","mappings":{"default":{"default":"facsimile sign"}},"key":"213B"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif cap G"},"mathspeak":{"default":"turned sans serif upper G"}},"key":"2141"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif cap L"},"mathspeak":{"default":"turned sans serif upper L"}},"key":"2142"},{"category":"Sm","mappings":{"default":{"default":"reversed sans serif cap L"},"mathspeak":{"default":"reversed sans serif upper L"}},"key":"2143"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif cap Y"},"mathspeak":{"default":"turned sans serif upper Y"}},"key":"2144"}]
+,
+"en/symbols/math_symbols.js": 
+[{"locale":"en"},{"category":"Po","mappings":{"default":{"default":"exclamation mark"}},"key":"0021"},{"category":"Po","mappings":{"default":{"default":"quotation mark"}},"key":"0022"},{"category":"Po","mappings":{"default":{"default":"number sign","alternative":"hash"},"mathspeak":{"brief":"num sign","sbrief":"num sign"}},"key":"0023"},{"category":"Sc","mappings":{"default":{"default":"dollar sign"}},"key":"0024"},{"category":"Po","mappings":{"default":{"default":"percent sign"}},"key":"0025"},{"category":"Po","mappings":{"default":{"default":"ampersand"}},"key":"0026"},{"category":"Po","mappings":{"default":{"default":"prime"}},"key":"0027"},{"category":"Po","mappings":{"default":{"default":"asterisk"}},"key":"002A"},{"category":"Sm","mappings":{"default":{"default":"plus"}},"key":"002B"},{"category":"Po","mappings":{"default":{"default":"comma"}},"key":"002C"},{"category":"Pd","mappings":{"default":{"default":"minus"},"mathspeak":{"default":"hyphen"}},"key":"002D"},{"category":"Po","mappings":{"default":{"default":"period"}},"key":"002E"},{"category":"Po","mappings":{"default":{"default":"slash","alternative":"solidus"},"emacspeak":{"default":"slash"}},"key":"002F"},{"category":"Po","mappings":{"default":{"default":"colon"}},"key":"003A"},{"category":"Po","mappings":{"default":{"default":"semicolon"}},"key":"003B"},{"category":"Sm","mappings":{"default":{"default":"less than"},"clearspeak":{"default":"is less than"}},"key":"003C"},{"category":"Sm","mappings":{"default":{"default":"equals"}},"key":"003D"},{"category":"Sm","mappings":{"default":{"default":"greater than"},"clearspeak":{"default":"is greater than"}},"key":"003E"},{"category":"Po","mappings":{"default":{"default":"question mark"}},"key":"003F"},{"category":"Po","mappings":{"default":{"default":"at"}},"key":"0040"},{"category":"Po","mappings":{"default":{"default":"backslash"}},"key":"005C"},{"category":"Sk","mappings":{"default":{"default":"hat"},"mathspeak":{"default":"caret"}},"key":"005E"},{"category":"Pc","mappings":{"default":{"default":"bar","alternative":"underline"}},"key":"005F"},{"category":"Sk","mappings":{"default":{"default":"grave"},"mathspeak":{"default":"grave"}},"key":"0060"},{"category":"Sm","mappings":{"default":{"default":"vertical bar"},"clearspeak":{"default":"divides"}},"key":"007C"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"007E"},{"category":"Po","mappings":{"default":{"default":"inverted exclamation mark"}},"key":"00A1"},{"category":"Sc","mappings":{"default":{"default":"cent sign"}},"key":"00A2"},{"category":"Sc","mappings":{"default":{"default":"pound sign"}},"key":"00A3"},{"category":"Sc","mappings":{"default":{"default":"currency sign"}},"key":"00A4"},{"category":"Sc","mappings":{"default":{"default":"yen sign"}},"key":"00A5"},{"category":"So","mappings":{"default":{"default":"broken vertical bar"}},"key":"00A6"},{"category":"Po","mappings":{"default":{"default":"section sign"}},"key":"00A7"},{"category":"Sk","mappings":{"default":{"default":"two dots"}},"key":"00A8"},{"category":"So","mappings":{"default":{"default":"copyright sign"}},"key":"00A9"},{"category":"Lo","mappings":{"default":{"default":"feminine ordinal indicator"}},"key":"00AA"},{"category":"Pi","mappings":{"default":{"default":"left pointing guillemet"}},"key":"00AB"},{"category":"Sm","mappings":{"default":{"default":"not sign"}},"key":"00AC"},{"category":"So","mappings":{"default":{"default":"registered sign"},"mathspeak":{"default":"registered trade mark sign"},"clearspeak":{"default":"trade mark sign"}},"key":"00AE"},{"category":"Sk","mappings":{"default":{"default":"bar"}},"key":"00AF"},{"category":"So","mappings":{"default":{"default":"degree"},"clearspeak":{"default":"degrees"}},"key":"00B0"},{"category":"Sm","mappings":{"default":{"default":"plus or minus"}},"key":"00B1"},{"category":"Sk","mappings":{"default":{"default":"acute"}},"key":"00B4"},{"category":"Ll","mappings":{"default":{"default":"micro sign"}},"key":"00B5"},{"category":"Po","mappings":{"default":{"default":"paragraph sign"}},"key":"00B6"},{"category":"Po","mappings":{"default":{"default":"dot"},"clearspeak":{"default":"times"}},"key":"00B7"},{"category":"Sk","mappings":{"default":{"default":"cedilla"}},"key":"00B8"},{"category":"Lo","mappings":{"default":{"default":"masculine ordinal indicator"}},"key":"00BA"},{"category":"Pf","mappings":{"default":{"default":"right pointing guillemet"}},"key":"00BB"},{"category":"Po","mappings":{"default":{"default":"inverted question mark"}},"key":"00BF"},{"category":"Sm","mappings":{"default":{"default":"times"},"clearspeak":{"MultsymbolX_By":"by","MultsymbolX_Cross":"cross"}},"key":"00D7"},{"category":"Sm","mappings":{"default":{"default":"division sign"}},"key":"00F7"},{"category":"Sk","mappings":{"default":{"default":"breve"}},"key":"02D8"},{"category":"Sk","mappings":{"default":{"default":"dot above"},"mathspeak":{"default":"dot"}},"key":"02D9"},{"category":"Sk","mappings":{"default":{"default":"ring above"}},"key":"02DA"},{"category":"Sk","mappings":{"default":{"default":"ogonek"}},"key":"02DB"},{"category":"Sk","mappings":{"default":{"default":"tilde"}},"key":"02DC"},{"category":"Sk","mappings":{"default":{"default":"double acute"}},"key":"02DD"},{"category":"Pd","mappings":{"default":{"default":"hyphen"}},"key":"2010"},{"category":"Pd","mappings":{"default":{"default":"non breaking hyphen"}},"key":"2011"},{"category":"Pd","mappings":{"default":{"default":"figure dash"}},"key":"2012"},{"category":"Pd","mappings":{"default":{"default":"en dash"}},"key":"2013"},{"category":"Pd","mappings":{"default":{"default":"em dash"}},"key":"2014"},{"category":"Pd","mappings":{"default":{"default":"horizontal bar"},"mathspeak":{"default":"quotation dash"}},"key":"2015"},{"category":"Po","mappings":{"default":{"default":"double vertical bar"}},"key":"2016"},{"category":"Po","mappings":{"default":{"default":"double underline"}},"key":"2017"},{"category":"Pi","mappings":{"default":{"default":"left single quotation mark"}},"key":"2018"},{"category":"Pf","mappings":{"default":{"default":"right single quotation mark"}},"key":"2019"},{"category":"Ps","mappings":{"default":{"default":"low right single quotation mark"}},"key":"201A"},{"category":"Pi","mappings":{"default":{"default":"left reversed single quotation mark"}},"key":"201B"},{"category":"Pi","mappings":{"default":{"default":"left double quotation mark"}},"key":"201C"},{"category":"Pf","mappings":{"default":{"default":"right double quotation mark"}},"key":"201D"},{"category":"Ps","mappings":{"default":{"default":"low right double quotation mark"}},"key":"201E"},{"category":"Pi","mappings":{"default":{"default":"left reversed double quotation mark"}},"key":"201F"},{"category":"Po","mappings":{"default":{"default":"dagger"}},"key":"2020"},{"category":"Po","mappings":{"default":{"default":"double dagger"}},"key":"2021"},{"category":"Po","mappings":{"default":{"default":"bullet"}},"key":"2022"},{"category":"Po","mappings":{"default":{"default":"triangular bullet"}},"key":"2023"},{"category":"Po","mappings":{"default":{"default":"one dot leader"}},"key":"2024"},{"category":"Po","mappings":{"default":{"default":"two dot leader"}},"key":"2025"},{"category":"Po","mappings":{"default":{"default":"ellipsis"},"clearspeak":{"default":"dot dot dot"}},"key":"2026"},{"category":"Po","mappings":{"default":{"default":"hyphenation point"}},"key":"2027"},{"category":"Po","mappings":{"default":{"default":"per mille"}},"key":"2030"},{"category":"Po","mappings":{"default":{"default":"per ten thousand"}},"key":"2031"},{"category":"Po","mappings":{"default":{"default":"prime"}},"key":"2032"},{"category":"Po","mappings":{"default":{"default":"double prime"}},"key":"2033"},{"category":"Po","mappings":{"default":{"default":"triple prime"}},"key":"2034"},{"category":"Po","mappings":{"default":{"default":"reversed prime"}},"key":"2035"},{"category":"Po","mappings":{"default":{"default":"reversed double prime"}},"key":"2036"},{"category":"Po","mappings":{"default":{"default":"reversed triple prime"}},"key":"2037"},{"category":"Po","mappings":{"default":{"default":"caret"}},"key":"2038"},{"category":"Pi","mappings":{"default":{"default":"left pointing single guillemet"}},"key":"2039"},{"category":"Pf","mappings":{"default":{"default":"right pointing single guillemet"}},"key":"203A"},{"category":"Po","mappings":{"default":{"default":"reference mark"}},"key":"203B"},{"category":"Po","mappings":{"default":{"default":"double exclamation mark"}},"key":"203C"},{"category":"Po","mappings":{"default":{"default":"interrobang"}},"key":"203D"},{"category":"Po","mappings":{"default":{"default":"overline"},"mathspeak":{"default":"bar"}},"key":"203E"},{"category":"Pc","mappings":{"default":{"default":"undertie"}},"key":"203F"},{"category":"Pc","mappings":{"default":{"default":"character tie"}},"key":"2040"},{"category":"Po","mappings":{"default":{"default":"caret insertion point"}},"key":"2041"},{"category":"Po","mappings":{"default":{"default":"asterism"}},"key":"2042"},{"category":"Po","mappings":{"default":{"default":"hyphen bullet"}},"key":"2043"},{"category":"Sm","mappings":{"default":{"default":"fraction slash"}},"key":"2044"},{"category":"Po","mappings":{"default":{"default":"double question mark"}},"key":"2047"},{"category":"Po","mappings":{"default":{"default":"question exclamation mark"}},"key":"2048"},{"category":"Po","mappings":{"default":{"default":"exclamation question mark"}},"key":"2049"},{"category":"Po","mappings":{"default":{"default":"reversed pilcrow"}},"key":"204B"},{"category":"Po","mappings":{"default":{"default":"black leftwards bullet"}},"key":"204C"},{"category":"Po","mappings":{"default":{"default":"black rightwards bullet"}},"key":"204D"},{"category":"Po","mappings":{"default":{"default":"low asterisk"}},"key":"204E"},{"category":"Po","mappings":{"default":{"default":"reversed semicolon"}},"key":"204F"},{"category":"Po","mappings":{"default":{"default":"close up"}},"key":"2050"},{"category":"Po","mappings":{"default":{"default":"two asterisks aligned vertically"}},"key":"2051"},{"category":"Sm","mappings":{"default":{"default":"commercial minus"}},"key":"2052"},{"category":"Po","mappings":{"default":{"default":"swung dash"}},"key":"2053"},{"category":"Pc","mappings":{"default":{"default":"inverted undertie"}},"key":"2054"},{"category":"Po","mappings":{"default":{"default":"flower punctuation mark"}},"key":"2055"},{"category":"Po","mappings":{"default":{"default":"three dot punctuation"}},"key":"2056"},{"category":"Po","mappings":{"default":{"default":"quadruple prime"}},"key":"2057"},{"category":"Po","mappings":{"default":{"default":"four dot punctuation"}},"key":"2058"},{"category":"Po","mappings":{"default":{"default":"five dot punctuation"}},"key":"2059"},{"category":"Po","mappings":{"default":{"default":"two dot punctuation"}},"key":"205A"},{"category":"Po","mappings":{"default":{"default":"four dot mark"}},"key":"205B"},{"category":"Po","mappings":{"default":{"default":"dotted cross"}},"key":"205C"},{"category":"Po","mappings":{"default":{"default":"tricolon"}},"key":"205D"},{"category":"Po","mappings":{"default":{"default":"vertical four dots"}},"key":"205E"},{"category":"Sm","mappings":{"default":{"default":"superscript plus"}},"key":"207A"},{"category":"Sm","mappings":{"default":{"default":"superscript minus"}},"key":"207B"},{"category":"Sm","mappings":{"default":{"default":"superscript equals"}},"key":"207C"},{"category":"Ps","mappings":{"default":{"default":"superscript left parenthesis"}},"key":"207D"},{"category":"Pe","mappings":{"default":{"default":"superscript right parenthesis"}},"key":"207E"},{"category":"Sm","mappings":{"default":{"default":"subscript plus"}},"key":"208A"},{"category":"Sm","mappings":{"default":{"default":"subscript minus"}},"key":"208B"},{"category":"Sm","mappings":{"default":{"default":"subscript equals"}},"key":"208C"},{"category":"Ps","mappings":{"default":{"default":"subscript left parenthesis"}},"key":"208D"},{"category":"Pe","mappings":{"default":{"default":"subscript right parenthesis"}},"key":"208E"},{"category":"So","mappings":{"default":{"default":"property line"}},"key":"214A"},{"category":"Sm","mappings":{"default":{"default":"turned ampersand"}},"key":"214B"},{"category":"So","mappings":{"default":{"default":"per"}},"key":"214C"},{"category":"So","mappings":{"default":{"default":"aktieselskab"}},"key":"214D"},{"category":"Ll","mappings":{"default":{"default":"turned small f"}},"key":"214E"},{"category":"Sm","mappings":{"default":{"default":"for all"}},"key":"2200"},{"category":"Sm","mappings":{"default":{"default":"complement"}},"key":"2201"},{"category":"Sm","mappings":{"default":{"default":"there exists"}},"key":"2203"},{"category":"Sm","mappings":{"default":{"default":"there does not exist"}},"key":"2204"},{"category":"Sm","mappings":{"default":{"default":"empty set"}},"key":"2205"},{"category":"Sm","mappings":{"default":{"default":"increment"}},"key":"2206"},{"category":"Sm","mappings":{"default":{"default":"element of"},"clearspeak":{"default":"is a member of","SetMemberSymbol_Member":"is a member of","SetMemberSymbol_Element":"is an element of","SetMemberSymbol_In":"is in","SetMemberSymbol_Belongs":"belongs to"}},"key":"2208"},{"category":"Sm","mappings":{"default":{"default":"not an element of"},"clearspeak":{"default":"is not a member of","SetMemberSymbol_Member":"is not a member of","SetMemberSymbol_Element":"is not an element of","SetMemberSymbol_In":"is not in","SetMemberSymbol_Belongs":"does not belong to"}},"key":"2209"},{"category":"Sm","mappings":{"default":{"default":"small element of"},"clearspeak":{"default":"is a member of","SetMemberSymbol_Member":"is a member of","SetMemberSymbol_Element":"is an element of","SetMemberSymbol_In":"is in","SetMemberSymbol_Belongs":"belongs to"}},"key":"220A"},{"category":"Sm","mappings":{"default":{"default":"contains as member"}},"key":"220B"},{"category":"Sm","mappings":{"default":{"default":"does not contain as member"}},"key":"220C"},{"category":"Sm","mappings":{"default":{"default":"small contains as member"}},"key":"220D"},{"category":"Sm","mappings":{"default":{"default":"end of proof"}},"key":"220E"},{"category":"Sm","mappings":{"default":{"default":"product"}},"key":"220F"},{"category":"Sm","mappings":{"default":{"default":"coproduct"}},"key":"2210"},{"category":"Sm","mappings":{"default":{"default":"sum"},"mathspeak":{"default":"sigma summation"}},"key":"2211"},{"category":"Sm","mappings":{"default":{"default":"minus"}},"key":"2212"},{"category":"Sm","mappings":{"default":{"default":"minus or plus"}},"key":"2213"},{"category":"Sm","mappings":{"default":{"default":"dot plus"}},"key":"2214"},{"category":"Sm","mappings":{"default":{"default":"division slash"}},"key":"2215"},{"category":"Sm","mappings":{"default":{"default":"set minus"}},"key":"2216"},{"category":"Sm","mappings":{"default":{"default":"asterisk"}},"key":"2217"},{"category":"Sm","mappings":{"default":{"default":"ring"},"clearspeak":{"default":"composed with"}},"key":"2218"},{"category":"Sm","mappings":{"default":{"default":"bullet"}},"key":"2219"},{"category":"Sm","mappings":{"default":{"default":"square root"}},"key":"221A"},{"category":"Sm","mappings":{"default":{"default":"cube root"}},"key":"221B"},{"category":"Sm","mappings":{"default":{"default":"fourth root"}},"key":"221C"},{"category":"Sm","mappings":{"default":{"default":"proportional to"}},"key":"221D"},{"category":"Sm","mappings":{"default":{"default":"infinity"}},"key":"221E"},{"category":"Sm","mappings":{"default":{"default":"right angle"}},"key":"221F"},{"category":"Sm","mappings":{"default":{"default":"angle"}},"key":"2220"},{"category":"Sm","mappings":{"default":{"default":"measured angle"}},"key":"2221"},{"category":"Sm","mappings":{"default":{"default":"spherical angle"}},"key":"2222"},{"category":"Sm","mappings":{"default":{"default":"bar","alternative":"divides"}},"key":"2223"},{"category":"Sm","mappings":{"default":{"default":"does not divide"}},"key":"2224"},{"category":"Sm","mappings":{"default":{"default":"parallel to"}},"key":"2225"},{"category":"Sm","mappings":{"default":{"default":"not parallel to"}},"key":"2226"},{"category":"Sm","mappings":{"default":{"default":"and"}},"key":"2227"},{"category":"Sm","mappings":{"default":{"default":"or"}},"key":"2228"},{"category":"Sm","mappings":{"default":{"default":"intersection"}},"key":"2229"},{"category":"Sm","mappings":{"default":{"default":"union"}},"key":"222A"},{"category":"Sm","mappings":{"default":{"default":"integral"}},"key":"222B"},{"category":"Sm","mappings":{"default":{"default":"double integral"}},"key":"222C"},{"category":"Sm","mappings":{"default":{"default":"triple integral"}},"key":"222D"},{"category":"Sm","mappings":{"default":{"default":"contour integral"}},"key":"222E"},{"category":"Sm","mappings":{"default":{"default":"surface integral"}},"key":"222F"},{"category":"Sm","mappings":{"default":{"default":"volume integral"}},"key":"2230"},{"category":"Sm","mappings":{"default":{"default":"clockwise integral"}},"key":"2231"},{"category":"Sm","mappings":{"default":{"default":"clockwise contour integral"}},"key":"2232"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise contour integral"}},"key":"2233"},{"category":"Sm","mappings":{"default":{"default":"therefore"}},"key":"2234"},{"category":"Sm","mappings":{"default":{"default":"because"}},"key":"2235"},{"category":"Sm","mappings":{"default":{"default":"ratio"}},"key":"2236"},{"category":"Sm","mappings":{"default":{"default":"proportion"}},"key":"2237"},{"category":"Sm","mappings":{"default":{"default":"dot minus"}},"key":"2238"},{"category":"Sm","mappings":{"default":{"default":"excess"}},"key":"2239"},{"category":"Sm","mappings":{"default":{"default":"geometric proportion"}},"key":"223A"},{"category":"Sm","mappings":{"default":{"default":"homothetic"}},"key":"223B"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"223C"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde"}},"key":"223D"},{"category":"Sm","mappings":{"default":{"default":"inverted lazy s"}},"key":"223E"},{"category":"Sm","mappings":{"default":{"default":"sine wave"}},"key":"223F"},{"category":"Sm","mappings":{"default":{"default":"wreath product"}},"key":"2240"},{"category":"Sm","mappings":{"default":{"default":"not tilde"}},"key":"2241"},{"category":"Sm","mappings":{"default":{"default":"minus tilde"}},"key":"2242"},{"category":"Sm","mappings":{"default":{"default":"asymptotically equals"}},"key":"2243"},{"category":"Sm","mappings":{"default":{"default":"not asymptotically equals"}},"key":"2244"},{"category":"Sm","mappings":{"default":{"default":"approximately equals"}},"key":"2245"},{"category":"Sm","mappings":{"default":{"default":"approximately but not actually equals"}},"key":"2246"},{"category":"Sm","mappings":{"default":{"default":"neither approximately nor actually equals"}},"key":"2247"},{"category":"Sm","mappings":{"default":{"default":"almost equals"}},"key":"2248"},{"category":"Sm","mappings":{"default":{"default":"not almost equals"}},"key":"2249"},{"category":"Sm","mappings":{"default":{"default":"almost equal or equals"}},"key":"224A"},{"category":"Sm","mappings":{"default":{"default":"triple tilde"}},"key":"224B"},{"category":"Sm","mappings":{"default":{"default":"all equals"}},"key":"224C"},{"category":"Sm","mappings":{"default":{"default":"equivalent to"}},"key":"224D"},{"category":"Sm","mappings":{"default":{"default":"geometrically equivalent to"}},"key":"224E"},{"category":"Sm","mappings":{"default":{"default":"difference between"}},"key":"224F"},{"category":"Sm","mappings":{"default":{"default":"approaches the limit"}},"key":"2250"},{"category":"Sm","mappings":{"default":{"default":"geometrically equals"}},"key":"2251"},{"category":"Sm","mappings":{"default":{"default":"approximately equals or the image of"}},"key":"2252"},{"category":"Sm","mappings":{"default":{"default":"image of or approximately equals"}},"key":"2253"},{"category":"Sm","mappings":{"default":{"default":"colon equals"}},"key":"2254"},{"category":"Sm","mappings":{"default":{"default":"equals colon"}},"key":"2255"},{"category":"Sm","mappings":{"default":{"default":"ring in equals"}},"key":"2256"},{"category":"Sm","mappings":{"default":{"default":"ring equals"}},"key":"2257"},{"category":"Sm","mappings":{"default":{"default":"corresponds to"}},"key":"2258"},{"category":"Sm","mappings":{"default":{"default":"estimates"}},"key":"2259"},{"category":"Sm","mappings":{"default":{"default":"equiangular to"},"clearspeak":{"default":"is equiangular to"}},"key":"225A"},{"category":"Sm","mappings":{"default":{"default":"star equals"}},"key":"225B"},{"category":"Sm","mappings":{"default":{"default":"delta equals"}},"key":"225C"},{"category":"Sm","mappings":{"default":{"default":"equals by definition"},"clearspeak":{"default":"is defined to be"}},"key":"225D"},{"category":"Sm","mappings":{"default":{"default":"measured by"},"clearspeak":{"default":"is measured by"}},"key":"225E"},{"category":"Sm","mappings":{"default":{"default":"questioned equals"}},"key":"225F"},{"category":"Sm","mappings":{"default":{"default":"not equals"},"clearspeak":{"default":"is not equal to"}},"key":"2260"},{"category":"Sm","mappings":{"default":{"default":"identical to"},"clearspeak":{"default":"is identical to"}},"key":"2261"},{"category":"Sm","mappings":{"default":{"default":"not identical to"},"clearspeak":{"default":"is not identical to"}},"key":"2262"},{"category":"Sm","mappings":{"default":{"default":"strictly equivalent to"},"clearspeak":{"default":"is strictly equivalent to"}},"key":"2263"},{"category":"Sm","mappings":{"default":{"default":"less than or equals"},"clearspeak":{"default":"is less than or equal to"}},"key":"2264"},{"category":"Sm","mappings":{"default":{"default":"greater than or equals"},"clearspeak":{"default":"is greater than or equal to"}},"key":"2265"},{"category":"Sm","mappings":{"default":{"default":"less than over equals"},"clearspeak":{"default":"is less than over equals"}},"key":"2266"},{"category":"Sm","mappings":{"default":{"default":"greater than over equals"},"clearspeak":{"default":"is greater than over equals"}},"key":"2267"},{"category":"Sm","mappings":{"default":{"default":"less than but not equals"},"clearspeak":{"default":"is less than but not equal to"}},"key":"2268"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equals"},"clearspeak":{"default":"is greater than but not equal to"}},"key":"2269"},{"category":"Sm","mappings":{"default":{"default":"much less than"},"clearspeak":{"default":"is much less than"}},"key":"226A"},{"category":"Sm","mappings":{"default":{"default":"much greater than"},"clearspeak":{"default":"is much greater than"}},"key":"226B"},{"category":"Sm","mappings":{"default":{"default":"between"}},"key":"226C"},{"category":"Sm","mappings":{"default":{"default":"not equivalent to"},"clearspeak":{"default":"is not equivalent to"}},"key":"226D"},{"category":"Sm","mappings":{"default":{"default":"not less than"},"clearspeak":{"default":"is not less than"}},"key":"226E"},{"category":"Sm","mappings":{"default":{"default":"not greater than"},"clearspeak":{"default":"is not greater than"}},"key":"226F"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equals"},"clearspeak":{"default":"is neither less than nor equal to"}},"key":"2270"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equals"},"clearspeak":{"default":"is neither greater than nor equal to"}},"key":"2271"},{"category":"Sm","mappings":{"default":{"default":"less than or equivalent to"},"clearspeak":{"default":"is less than or equivalent to"}},"key":"2272"},{"category":"Sm","mappings":{"default":{"default":"greater than or equivalent to"},"clearspeak":{"default":"is greater than or equivalent to"}},"key":"2273"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equivalent to"},"clearspeak":{"default":"is neither less than nor equivalent to"}},"key":"2274"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equivalent to"},"clearspeak":{"default":"is neither greater than nor equivalent to"}},"key":"2275"},{"category":"Sm","mappings":{"default":{"default":"less than or greater than"},"clearspeak":{"default":"is less than or greater than"}},"key":"2276"},{"category":"Sm","mappings":{"default":{"default":"greater than or less than"},"clearspeak":{"default":"is greater than or less than"}},"key":"2277"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor greater than"},"clearspeak":{"default":"is neither less than nor greater than"}},"key":"2278"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor less than"},"clearspeak":{"default":"is neither greater than nor less than"}},"key":"2279"},{"category":"Sm","mappings":{"default":{"default":"precedes"}},"key":"227A"},{"category":"Sm","mappings":{"default":{"default":"succeeds"}},"key":"227B"},{"category":"Sm","mappings":{"default":{"default":"precedes or equal to"}},"key":"227C"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equal to"}},"key":"227D"},{"category":"Sm","mappings":{"default":{"default":"precedes or equivalent to"}},"key":"227E"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equivalent to"}},"key":"227F"},{"category":"Sm","mappings":{"default":{"default":"does not precede"}},"key":"2280"},{"category":"Sm","mappings":{"default":{"default":"does not succeed"}},"key":"2281"},{"category":"Sm","mappings":{"default":{"default":"subset of"}},"key":"2282"},{"category":"Sm","mappings":{"default":{"default":"superset of"}},"key":"2283"},{"category":"Sm","mappings":{"default":{"default":"not a subset of"}},"key":"2284"},{"category":"Sm","mappings":{"default":{"default":"not a superset of"}},"key":"2285"},{"category":"Sm","mappings":{"default":{"default":"subset of or equal to"}},"key":"2286"},{"category":"Sm","mappings":{"default":{"default":"superset of or equal to"}},"key":"2287"},{"category":"Sm","mappings":{"default":{"default":"neither a subset of nor equal to"}},"key":"2288"},{"category":"Sm","mappings":{"default":{"default":"neither a superset of nor equal to"}},"key":"2289"},{"category":"Sm","mappings":{"default":{"default":"subset of or not equals"}},"key":"228A"},{"category":"Sm","mappings":{"default":{"default":"superset of or not equals"}},"key":"228B"},{"category":"Sm","mappings":{"default":{"default":"multiset"}},"key":"228C"},{"category":"Sm","mappings":{"default":{"default":"multiset multiplication"}},"key":"228D"},{"category":"Sm","mappings":{"default":{"default":"multiset union"}},"key":"228E"},{"category":"Sm","mappings":{"default":{"default":"square image of"}},"key":"228F"},{"category":"Sm","mappings":{"default":{"default":"square original of"}},"key":"2290"},{"category":"Sm","mappings":{"default":{"default":"square image of or equal to"}},"key":"2291"},{"category":"Sm","mappings":{"default":{"default":"square original of or equal to"}},"key":"2292"},{"category":"Sm","mappings":{"default":{"default":"square cap"}},"key":"2293"},{"category":"Sm","mappings":{"default":{"default":"square cup"}},"key":"2294"},{"category":"Sm","mappings":{"default":{"default":"circled plus"}},"key":"2295"},{"category":"Sm","mappings":{"default":{"default":"circled minus"}},"key":"2296"},{"category":"Sm","mappings":{"default":{"default":"circled times"}},"key":"2297"},{"category":"Sm","mappings":{"default":{"default":"circled division slash"}},"key":"2298"},{"category":"Sm","mappings":{"default":{"default":"circled dot"}},"key":"2299"},{"category":"Sm","mappings":{"default":{"default":"circled ring"}},"key":"229A"},{"category":"Sm","mappings":{"default":{"default":"circled asterisk"}},"key":"229B"},{"category":"Sm","mappings":{"default":{"default":"circled equals"}},"key":"229C"},{"category":"Sm","mappings":{"default":{"default":"circled dash"}},"key":"229D"},{"category":"Sm","mappings":{"default":{"default":"squared plus"}},"key":"229E"},{"category":"Sm","mappings":{"default":{"default":"squared minus"}},"key":"229F"},{"category":"Sm","mappings":{"default":{"default":"squared times"}},"key":"22A0"},{"category":"Sm","mappings":{"default":{"default":"squared dot"}},"key":"22A1"},{"category":"Sm","mappings":{"default":{"default":"right tack"}},"key":"22A2"},{"category":"Sm","mappings":{"default":{"default":"left tack"}},"key":"22A3"},{"category":"Sm","mappings":{"default":{"default":"down tack"}},"key":"22A4"},{"category":"Sm","mappings":{"default":{"default":"up tack"}},"key":"22A5"},{"category":"Sm","mappings":{"default":{"default":"assertion"}},"key":"22A6"},{"category":"Sm","mappings":{"default":{"default":"models"}},"key":"22A7"},{"category":"Sm","mappings":{"default":{"default":"true"}},"key":"22A8"},{"category":"Sm","mappings":{"default":{"default":"forces"}},"key":"22A9"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar right turnstile"}},"key":"22AA"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double right turnstile"}},"key":"22AB"},{"category":"Sm","mappings":{"default":{"default":"does not prove"}},"key":"22AC"},{"category":"Sm","mappings":{"default":{"default":"not true"}},"key":"22AD"},{"category":"Sm","mappings":{"default":{"default":"does not force"}},"key":"22AE"},{"category":"Sm","mappings":{"default":{"default":"negated double vertical bar double right turnstile"}},"key":"22AF"},{"category":"Sm","mappings":{"default":{"default":"precedes under relation"}},"key":"22B0"},{"category":"Sm","mappings":{"default":{"default":"succeeds under relation"}},"key":"22B1"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of"}},"key":"22B2"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup"}},"key":"22B3"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of or equal to"}},"key":"22B4"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup or equal to"}},"key":"22B5"},{"category":"Sm","mappings":{"default":{"default":"original of"}},"key":"22B6"},{"category":"Sm","mappings":{"default":{"default":"image of"}},"key":"22B7"},{"category":"Sm","mappings":{"default":{"default":"multimap"}},"key":"22B8"},{"category":"Sm","mappings":{"default":{"default":"hermitian conjugate matrix"}},"key":"22B9"},{"category":"Sm","mappings":{"default":{"default":"intercalate"}},"key":"22BA"},{"category":"Sm","mappings":{"default":{"default":"xor"}},"key":"22BB"},{"category":"Sm","mappings":{"default":{"default":"nand"}},"key":"22BC"},{"category":"Sm","mappings":{"default":{"default":"nor"}},"key":"22BD"},{"category":"Sm","mappings":{"default":{"default":"right triangle"}},"key":"22BF"},{"category":"Sm","mappings":{"default":{"default":"n ary and"},"mathspeak":{"default":"and"}},"key":"22C0"},{"category":"Sm","mappings":{"default":{"default":"n ary or"},"mathspeak":{"default":"or"}},"key":"22C1"},{"category":"Sm","mappings":{"default":{"default":"n ary intersection"},"mathspeak":{"default":"intersection"}},"key":"22C2"},{"category":"Sm","mappings":{"default":{"default":"n ary union"},"mathspeak":{"default":"union"}},"key":"22C3"},{"category":"Sm","mappings":{"default":{"default":"diamond"}},"key":"22C4"},{"category":"Sm","mappings":{"default":{"default":"dot"},"clearspeak":{"default":"times","MultsymbolDot_Dot":"dot"}},"key":"22C5"},{"category":"Sm","mappings":{"default":{"default":"star"}},"key":"22C6"},{"category":"Sm","mappings":{"default":{"default":"division times"}},"key":"22C7"},{"category":"Sm","mappings":{"default":{"default":"bowtie"}},"key":"22C8"},{"category":"Sm","mappings":{"default":{"default":"left normal factor semidirect product"}},"key":"22C9"},{"category":"Sm","mappings":{"default":{"default":"right normal factor semidirect product"}},"key":"22CA"},{"category":"Sm","mappings":{"default":{"default":"left semidirect product"}},"key":"22CB"},{"category":"Sm","mappings":{"default":{"default":"right semidirect product"}},"key":"22CC"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde equals"}},"key":"22CD"},{"category":"Sm","mappings":{"default":{"default":"curly or"}},"key":"22CE"},{"category":"Sm","mappings":{"default":{"default":"curly and"}},"key":"22CF"},{"category":"Sm","mappings":{"default":{"default":"double subset"}},"key":"22D0"},{"category":"Sm","mappings":{"default":{"default":"double superset"}},"key":"22D1"},{"category":"Sm","mappings":{"default":{"default":"double intersection"}},"key":"22D2"},{"category":"Sm","mappings":{"default":{"default":"double union"}},"key":"22D3"},{"category":"Sm","mappings":{"default":{"default":"pitchfork"}},"key":"22D4"},{"category":"Sm","mappings":{"default":{"default":"equal and parallel to"},"clearspeak":{"default":"is equal and parallel to"}},"key":"22D5"},{"category":"Sm","mappings":{"default":{"default":"less than dot"},"clearspeak":{"default":"is less than dot"}},"key":"22D6"},{"category":"Sm","mappings":{"default":{"default":"greater than dot"},"clearspeak":{"default":"is greater than dot"}},"key":"22D7"},{"category":"Sm","mappings":{"default":{"default":"very much less than"},"clearspeak":{"default":"is very much less than"}},"key":"22D8"},{"category":"Sm","mappings":{"default":{"default":"very much greater than"},"clearspeak":{"default":"is very much greater than"}},"key":"22D9"},{"category":"Sm","mappings":{"default":{"default":"less than equals or greater than"},"clearspeak":{"default":"is less than equal to or greater than"}},"key":"22DA"},{"category":"Sm","mappings":{"default":{"default":"greater than equals or less than"},"clearspeak":{"default":"is greater than equal to or less than"}},"key":"22DB"},{"category":"Sm","mappings":{"default":{"default":"equals or less than"},"clearspeak":{"default":"is equal to or less than"}},"key":"22DC"},{"category":"Sm","mappings":{"default":{"default":"equals or greater than"},"clearspeak":{"default":"is equal to or greater than"}},"key":"22DD"},{"category":"Sm","mappings":{"default":{"default":"equals or precedes"},"clearspeak":{"default":"is equal to or precedes"}},"key":"22DE"},{"category":"Sm","mappings":{"default":{"default":"equals or succeeds"},"clearspeak":{"default":"is equal to or succeeds"}},"key":"22DF"},{"category":"Sm","mappings":{"default":{"default":"does not precede or equal"}},"key":"22E0"},{"category":"Sm","mappings":{"default":{"default":"does not succeed or equal"}},"key":"22E1"},{"category":"Sm","mappings":{"default":{"default":"not square image of or equals"},"clearspeak":{"default":"is not square image of or equal to"}},"key":"22E2"},{"category":"Sm","mappings":{"default":{"default":"not square original of or equals"},"clearspeak":{"default":"is not square original of or equal to"}},"key":"22E3"},{"category":"Sm","mappings":{"default":{"default":"square image of or not equals"},"clearspeak":{"default":"is square image of or not equal to"}},"key":"22E4"},{"category":"Sm","mappings":{"default":{"default":"square original of or not equals"},"clearspeak":{"default":"is square original of or not equal to"}},"key":"22E5"},{"category":"Sm","mappings":{"default":{"default":"less than but not equivalent to"},"clearspeak":{"default":"is less than but not equivalent to"}},"key":"22E6"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equivalent to"},"clearspeak":{"default":"is greater than but not equivalent to"}},"key":"22E7"},{"category":"Sm","mappings":{"default":{"default":"precedes but not equivalent to"}},"key":"22E8"},{"category":"Sm","mappings":{"default":{"default":"succeeds but not equivalent to"}},"key":"22E9"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of"},"clearspeak":{"default":"is not normal subgroup of"}},"key":"22EA"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup"}},"key":"22EB"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of or equals"},"clearspeak":{"default":"is not normal subgroup of or equal to"}},"key":"22EC"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup or equal"}},"key":"22ED"},{"category":"Sm","mappings":{"default":{"default":"vertical ellipsis"}},"key":"22EE"},{"category":"Sm","mappings":{"default":{"default":"midline horizontal ellipsis"},"clearspeak":{"default":"dot dot dot"}},"key":"22EF"},{"category":"Sm","mappings":{"default":{"default":"up right diagonal ellipsis"}},"key":"22F0"},{"category":"Sm","mappings":{"default":{"default":"down right diagonal ellipsis"}},"key":"22F1"},{"category":"Sm","mappings":{"default":{"default":"element of with long horizontal stroke"}},"key":"22F2"},{"category":"Sm","mappings":{"default":{"default":"element of with vertical bar at end of horizontal stroke"}},"key":"22F3"},{"category":"Sm","mappings":{"default":{"default":"small element of with vertical bar at end of horizontal stroke"}},"key":"22F4"},{"category":"Sm","mappings":{"default":{"default":"element of with dot above"}},"key":"22F5"},{"category":"Sm","mappings":{"default":{"default":"element of with overbar"}},"key":"22F6"},{"category":"Sm","mappings":{"default":{"default":"small element of with overbar"}},"key":"22F7"},{"category":"Sm","mappings":{"default":{"default":"element of with underbar"}},"key":"22F8"},{"category":"Sm","mappings":{"default":{"default":"element of with two horizontal strokes"}},"key":"22F9"},{"category":"Sm","mappings":{"default":{"default":"contains with long horizontal stroke"}},"key":"22FA"},{"category":"Sm","mappings":{"default":{"default":"contains with vertical bar at end of horizontal stroke"}},"key":"22FB"},{"category":"Sm","mappings":{"default":{"default":"small contains with vertical bar at end of horizontal stroke"}},"key":"22FC"},{"category":"Sm","mappings":{"default":{"default":"contains with overbar"}},"key":"22FD"},{"category":"Sm","mappings":{"default":{"default":"small contains with overbar"}},"key":"22FE"},{"category":"Sm","mappings":{"default":{"default":"z notation bag membership"}},"key":"22FF"},{"category":"So","mappings":{"default":{"default":"diameter sign"}},"key":"2300"},{"category":"So","mappings":{"default":{"default":"house"}},"key":"2302"},{"category":"So","mappings":{"default":{"default":"projective"}},"key":"2305"},{"category":"So","mappings":{"default":{"default":"perspective"}},"key":"2306"},{"category":"So","mappings":{"default":{"default":"wavy line"}},"key":"2307"},{"category":"So","mappings":{"default":{"default":"reversed not"}},"key":"2310"},{"category":"So","mappings":{"default":{"default":"square lozenge"}},"key":"2311"},{"category":"So","mappings":{"default":{"default":"arc"}},"key":"2312"},{"category":"So","mappings":{"default":{"default":"segment"}},"key":"2313"},{"category":"So","mappings":{"default":{"default":"sector"}},"key":"2314"},{"category":"So","mappings":{"default":{"default":"bold plus"}},"key":"2795"},{"category":"So","mappings":{"default":{"default":"bold minus"}},"key":"2796"},{"category":"So","mappings":{"default":{"default":"bold division"}},"key":"2797"},{"category":"So","mappings":{"default":{"default":"curly loop"}},"key":"27B0"},{"category":"So","mappings":{"default":{"default":"double curly loop"}},"key":"27BF"},{"category":"Sm","mappings":{"default":{"default":"white triangle containing small white triangle"}},"key":"27C1"},{"category":"Sm","mappings":{"default":{"default":"perpendicular"}},"key":"27C2"},{"category":"Sm","mappings":{"default":{"default":"open subset"}},"key":"27C3"},{"category":"Sm","mappings":{"default":{"default":"open superset"}},"key":"27C4"},{"category":"Sm","mappings":{"default":{"default":"or with dot inside"}},"key":"27C7"},{"category":"Sm","mappings":{"default":{"default":"backslash preceding subset"}},"key":"27C8"},{"category":"Sm","mappings":{"default":{"default":"superset preceding solidus"}},"key":"27C9"},{"category":"Sm","mappings":{"default":{"default":"vertical bar with horizontal stroke"}},"key":"27CA"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal"}},"key":"27CB"},{"category":"Sm","mappings":{"default":{"default":"long division"}},"key":"27CC"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal"}},"key":"27CD"},{"category":"Sm","mappings":{"default":{"default":"squared and"}},"key":"27CE"},{"category":"Sm","mappings":{"default":{"default":"squared or"}},"key":"27CF"},{"category":"Sm","mappings":{"default":{"default":"white diamond with centered dot"}},"key":"27D0"},{"category":"Sm","mappings":{"default":{"default":"and with dot"}},"key":"27D1"},{"category":"Sm","mappings":{"default":{"default":"element of opening upwards"}},"key":"27D2"},{"category":"Sm","mappings":{"default":{"default":"lower right corner with dot"}},"key":"27D3"},{"category":"Sm","mappings":{"default":{"default":"upper left corner with dot"}},"key":"27D4"},{"category":"Sm","mappings":{"default":{"default":"left outer join"}},"key":"27D5"},{"category":"Sm","mappings":{"default":{"default":"right outer join"}},"key":"27D6"},{"category":"Sm","mappings":{"default":{"default":"full outer join"}},"key":"27D7"},{"category":"Sm","mappings":{"default":{"default":"large up tack"}},"key":"27D8"},{"category":"Sm","mappings":{"default":{"default":"large down tack"}},"key":"27D9"},{"category":"Sm","mappings":{"default":{"default":"left and right double turnstile"}},"key":"27DA"},{"category":"Sm","mappings":{"default":{"default":"left and right tack"}},"key":"27DB"},{"category":"Sm","mappings":{"default":{"default":"left multimap"}},"key":"27DC"},{"category":"Sm","mappings":{"default":{"default":"long right tack"}},"key":"27DD"},{"category":"Sm","mappings":{"default":{"default":"long left tack"}},"key":"27DE"},{"category":"Sm","mappings":{"default":{"default":"up tack with circle above"}},"key":"27DF"},{"category":"Sm","mappings":{"default":{"default":"lozenge divided by horizontal rule"}},"key":"27E0"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond"}},"key":"27E1"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with leftwards tick"}},"key":"27E2"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with rightwards tick"}},"key":"27E3"},{"category":"Sm","mappings":{"default":{"default":"white square with leftwards tick"}},"key":"27E4"},{"category":"Sm","mappings":{"default":{"default":"white square with rightwards tick"}},"key":"27E5"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing falling diagonal"}},"key":"292B"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing rising diagonal"}},"key":"292C"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar delimiter"}},"key":"2980"},{"category":"Sm","mappings":{"default":{"default":"z notation spot"}},"key":"2981"},{"category":"Sm","mappings":{"default":{"default":"z notation type colon"}},"key":"2982"},{"category":"Sm","mappings":{"default":{"default":"dotted fence"}},"key":"2999"},{"category":"Sm","mappings":{"default":{"default":"vertical zigzag line"}},"key":"299A"},{"category":"Sm","mappings":{"default":{"default":"reversed empty set"}},"key":"29B0"},{"category":"Sm","mappings":{"default":{"default":"empty set with overbar"}},"key":"29B1"},{"category":"Sm","mappings":{"default":{"default":"empty set with small circle above"}},"key":"29B2"},{"category":"Sm","mappings":{"default":{"default":"circle with horizontal bar"}},"key":"29B5"},{"category":"Sm","mappings":{"default":{"default":"circled vertical bar"}},"key":"29B6"},{"category":"Sm","mappings":{"default":{"default":"circled parallel"}},"key":"29B7"},{"category":"Sm","mappings":{"default":{"default":"circled backslash"}},"key":"29B8"},{"category":"Sm","mappings":{"default":{"default":"circled perpendicular"}},"key":"29B9"},{"category":"Sm","mappings":{"default":{"default":"circle divided by horizontal bar and top half divided by vertical bar"}},"key":"29BA"},{"category":"Sm","mappings":{"default":{"default":"circle with superimposed x"}},"key":"29BB"},{"category":"Sm","mappings":{"default":{"default":"circled anticlockwise rotated division"}},"key":"29BC"},{"category":"Sm","mappings":{"default":{"default":"circled white bullet"}},"key":"29BE"},{"category":"Sm","mappings":{"default":{"default":"circled bullet"}},"key":"29BF"},{"category":"Sm","mappings":{"default":{"default":"circled less than"}},"key":"29C0"},{"category":"Sm","mappings":{"default":{"default":"circled greater than"}},"key":"29C1"},{"category":"Sm","mappings":{"default":{"default":"circle with small circle to the right"}},"key":"29C2"},{"category":"Sm","mappings":{"default":{"default":"circle with two horizontal strokes to the right"}},"key":"29C3"},{"category":"Sm","mappings":{"default":{"default":"squared rising diagonal slash"}},"key":"29C4"},{"category":"Sm","mappings":{"default":{"default":"squared falling diagonal slash"}},"key":"29C5"},{"category":"Sm","mappings":{"default":{"default":"squared asterisk"}},"key":"29C6"},{"category":"Sm","mappings":{"default":{"default":"squared small circle"}},"key":"29C7"},{"category":"Sm","mappings":{"default":{"default":"squared square"}},"key":"29C8"},{"category":"Sm","mappings":{"default":{"default":"two joined squares"}},"key":"29C9"},{"category":"Sm","mappings":{"default":{"default":"triangle with dot above"}},"key":"29CA"},{"category":"Sm","mappings":{"default":{"default":"triangle with underbar"}},"key":"29CB"},{"category":"Sm","mappings":{"default":{"default":"s in triangle"}},"key":"29CC"},{"category":"Sm","mappings":{"default":{"default":"triangle with serifs at bottom"}},"key":"29CD"},{"category":"Sm","mappings":{"default":{"default":"right triangle above left triangle"}},"key":"29CE"},{"category":"Sm","mappings":{"default":{"default":"left triangle beside vertical bar"}},"key":"29CF"},{"category":"Sm","mappings":{"default":{"default":"vertical bar beside right triangle"}},"key":"29D0"},{"category":"Sm","mappings":{"default":{"default":"bowtie with left half black"}},"key":"29D1"},{"category":"Sm","mappings":{"default":{"default":"bowtie with right half black"}},"key":"29D2"},{"category":"Sm","mappings":{"default":{"default":"black bowtie"}},"key":"29D3"},{"category":"Sm","mappings":{"default":{"default":"times with left half black"}},"key":"29D4"},{"category":"Sm","mappings":{"default":{"default":"times with right half black"}},"key":"29D5"},{"category":"Sm","mappings":{"default":{"default":"white hourglass"}},"key":"29D6"},{"category":"Sm","mappings":{"default":{"default":"black hourglass"}},"key":"29D7"},{"category":"Sm","mappings":{"default":{"default":"incomplete infinity"}},"key":"29DC"},{"category":"Sm","mappings":{"default":{"default":"tie over infinity"}},"key":"29DD"},{"category":"Sm","mappings":{"default":{"default":"infinity negated with vertical bar"}},"key":"29DE"},{"category":"Sm","mappings":{"default":{"default":"double ended multimap"}},"key":"29DF"},{"category":"Sm","mappings":{"default":{"default":"square with contoured outline"}},"key":"29E0"},{"category":"Sm","mappings":{"default":{"default":"increases as"}},"key":"29E1"},{"category":"Sm","mappings":{"default":{"default":"shuffle product"}},"key":"29E2"},{"category":"Sm","mappings":{"default":{"default":"equals and slanted parallel"}},"key":"29E3"},{"category":"Sm","mappings":{"default":{"default":"equals and slanted parallel with tilde above"}},"key":"29E4"},{"category":"Sm","mappings":{"default":{"default":"identical to and slanted parallel"}},"key":"29E5"},{"category":"Sm","mappings":{"default":{"default":"gleich stark"}},"key":"29E6"},{"category":"Sm","mappings":{"default":{"default":"thermodynamic"}},"key":"29E7"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with left half black"}},"key":"29E8"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with right half black"}},"key":"29E9"},{"category":"Sm","mappings":{"default":{"default":"black lozenge"}},"key":"29EB"},{"category":"Sm","mappings":{"default":{"default":"error barred white square"}},"key":"29EE"},{"category":"Sm","mappings":{"default":{"default":"error barred black square"}},"key":"29EF"},{"category":"Sm","mappings":{"default":{"default":"error barred white diamond"}},"key":"29F0"},{"category":"Sm","mappings":{"default":{"default":"error barred black diamond"}},"key":"29F1"},{"category":"Sm","mappings":{"default":{"default":"error barred white circle"}},"key":"29F2"},{"category":"Sm","mappings":{"default":{"default":"error barred black circle"}},"key":"29F3"},{"category":"Sm","mappings":{"default":{"default":"rule delayed"}},"key":"29F4"},{"category":"Sm","mappings":{"default":{"default":"backslash"}},"key":"29F5"},{"category":"Sm","mappings":{"default":{"default":"solidus with overbar"}},"key":"29F6"},{"category":"Sm","mappings":{"default":{"default":"backslash with horizontal stroke"}},"key":"29F7"},{"category":"Sm","mappings":{"default":{"default":"big solidus"},"mathspeak":{"default":"solidus"}},"key":"29F8"},{"category":"Sm","mappings":{"default":{"default":"big backslash"},"mathspeak":{"default":"backslash"}},"key":"29F9"},{"category":"Sm","mappings":{"default":{"default":"double plus"}},"key":"29FA"},{"category":"Sm","mappings":{"default":{"default":"triple plus"}},"key":"29FB"},{"category":"Sm","mappings":{"default":{"default":"tiny"}},"key":"29FE"},{"category":"Sm","mappings":{"default":{"default":"miny"}},"key":"29FF"},{"category":"Sm","mappings":{"default":{"default":"n ary circled dot"},"mathspeak":{"default":"circled dot"}},"key":"2A00"},{"category":"Sm","mappings":{"default":{"default":"n ary circled plus"},"mathspeak":{"default":"circled plus"}},"key":"2A01"},{"category":"Sm","mappings":{"default":{"default":"n ary circled times"},"mathspeak":{"default":"circled times"}},"key":"2A02"},{"category":"Sm","mappings":{"default":{"default":"n ary union with dot"},"mathspeak":{"default":"union with dot"}},"key":"2A03"},{"category":"Sm","mappings":{"default":{"default":"n ary union operator with plus"},"mathspeak":{"default":"union with plus"}},"key":"2A04"},{"category":"Sm","mappings":{"default":{"default":"n ary square intersection"},"mathspeak":{"default":"square intersection"}},"key":"2A05"},{"category":"Sm","mappings":{"default":{"default":"n ary square union"},"mathspeak":{"default":"square union"}},"key":"2A06"},{"category":"Sm","mappings":{"default":{"default":"two and"}},"key":"2A07"},{"category":"Sm","mappings":{"default":{"default":"two or"}},"key":"2A08"},{"category":"Sm","mappings":{"default":{"default":"n ary times"},"mathspeak":{"default":"times"}},"key":"2A09"},{"category":"Sm","mappings":{"default":{"default":"modulo two sum"}},"key":"2A0A"},{"category":"Sm","mappings":{"default":{"default":"summation with integral"}},"key":"2A0B"},{"category":"Sm","mappings":{"default":{"default":"quadruple integral"}},"key":"2A0C"},{"category":"Sm","mappings":{"default":{"default":"finite part integral"}},"key":"2A0D"},{"category":"Sm","mappings":{"default":{"default":"integral with double stroke"}},"key":"2A0E"},{"category":"Sm","mappings":{"default":{"default":"integral average with slash"}},"key":"2A0F"},{"category":"Sm","mappings":{"default":{"default":"circulation function"}},"key":"2A10"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise integration"}},"key":"2A11"},{"category":"Sm","mappings":{"default":{"default":"line integration with rectangular path around pole"}},"key":"2A12"},{"category":"Sm","mappings":{"default":{"default":"line integration with semicircular path around pole"}},"key":"2A13"},{"category":"Sm","mappings":{"default":{"default":"line integration not including the pole"}},"key":"2A14"},{"category":"Sm","mappings":{"default":{"default":"integral around a point"}},"key":"2A15"},{"category":"Sm","mappings":{"default":{"default":"quaternion integral"}},"key":"2A16"},{"category":"Sm","mappings":{"default":{"default":"integral with times"}},"key":"2A18"},{"category":"Sm","mappings":{"default":{"default":"integral with intersection"}},"key":"2A19"},{"category":"Sm","mappings":{"default":{"default":"integral with union"}},"key":"2A1A"},{"category":"Sm","mappings":{"default":{"default":"integral with overbar"}},"key":"2A1B"},{"category":"Sm","mappings":{"default":{"default":"integral with underbar"}},"key":"2A1C"},{"category":"Sm","mappings":{"default":{"default":"join"}},"key":"2A1D"},{"category":"Sm","mappings":{"default":{"default":"large left triangle"}},"key":"2A1E"},{"category":"Sm","mappings":{"default":{"default":"z notation schema composition"}},"key":"2A1F"},{"category":"Sm","mappings":{"default":{"default":"z notation schema piping"}},"key":"2A20"},{"category":"Sm","mappings":{"default":{"default":"z notation schema projection"}},"key":"2A21"},{"category":"Sm","mappings":{"default":{"default":"plus with circle above"}},"key":"2A22"},{"category":"Sm","mappings":{"default":{"default":"plus hat"}},"key":"2A23"},{"category":"Sm","mappings":{"default":{"default":"plus tilde"}},"key":"2A24"},{"category":"Sm","mappings":{"default":{"default":"plus underdot"}},"key":"2A25"},{"category":"Sm","mappings":{"default":{"default":"plus sign with tilde below"}},"key":"2A26"},{"category":"Sm","mappings":{"default":{"default":"plus sign with subscript two"}},"key":"2A27"},{"category":"Sm","mappings":{"default":{"default":"plus sign with black triangle"}},"key":"2A28"},{"category":"Sm","mappings":{"default":{"default":"minus sign with comma above"}},"key":"2A29"},{"category":"Sm","mappings":{"default":{"default":"minus sign with dot below"}},"key":"2A2A"},{"category":"Sm","mappings":{"default":{"default":"minus sign with falling dots"}},"key":"2A2B"},{"category":"Sm","mappings":{"default":{"default":"minus sign with rising dots"}},"key":"2A2C"},{"category":"Sm","mappings":{"default":{"default":"plus sign in left half circle"}},"key":"2A2D"},{"category":"Sm","mappings":{"default":{"default":"plus sign in right half circle"}},"key":"2A2E"},{"category":"Sm","mappings":{"default":{"default":"vector or cross product"}},"key":"2A2F"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with dot above"}},"key":"2A30"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with underbar"}},"key":"2A31"},{"category":"Sm","mappings":{"default":{"default":"semidirect product with bottom closed"}},"key":"2A32"},{"category":"Sm","mappings":{"default":{"default":"smash product"}},"key":"2A33"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in left half circle"}},"key":"2A34"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in right half circle"}},"key":"2A35"},{"category":"Sm","mappings":{"default":{"default":"circled multiplication sign with circumflex accent"}},"key":"2A36"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in double circle"}},"key":"2A37"},{"category":"Sm","mappings":{"default":{"default":"circled division"}},"key":"2A38"},{"category":"Sm","mappings":{"default":{"default":"plus sign in triangle"}},"key":"2A39"},{"category":"Sm","mappings":{"default":{"default":"minus sign in triangle"}},"key":"2A3A"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in triangle"}},"key":"2A3B"},{"category":"Sm","mappings":{"default":{"default":"interior product"}},"key":"2A3C"},{"category":"Sm","mappings":{"default":{"default":"righthand interior product"}},"key":"2A3D"},{"category":"Sm","mappings":{"default":{"default":"z notation relational composition"}},"key":"2A3E"},{"category":"Sm","mappings":{"default":{"default":"amalgamation or coproduct"}},"key":"2A3F"},{"category":"Sm","mappings":{"default":{"default":"intersection with dot"}},"key":"2A40"},{"category":"Sm","mappings":{"default":{"default":"union with minus"}},"key":"2A41"},{"category":"Sm","mappings":{"default":{"default":"union with overbar"}},"key":"2A42"},{"category":"Sm","mappings":{"default":{"default":"intersection with overbar"}},"key":"2A43"},{"category":"Sm","mappings":{"default":{"default":"intersection with and"}},"key":"2A44"},{"category":"Sm","mappings":{"default":{"default":"union with or"}},"key":"2A45"},{"category":"Sm","mappings":{"default":{"default":"union above intersection"}},"key":"2A46"},{"category":"Sm","mappings":{"default":{"default":"intersection above union"}},"key":"2A47"},{"category":"Sm","mappings":{"default":{"default":"union above bar above intersection"}},"key":"2A48"},{"category":"Sm","mappings":{"default":{"default":"intersection above bar above union"}},"key":"2A49"},{"category":"Sm","mappings":{"default":{"default":"union beside and joined with union"}},"key":"2A4A"},{"category":"Sm","mappings":{"default":{"default":"intersection beside and joined with intersection"}},"key":"2A4B"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs"}},"key":"2A4C"},{"category":"Sm","mappings":{"default":{"default":"closed intersection with serifs"}},"key":"2A4D"},{"category":"Sm","mappings":{"default":{"default":"double square intersection"}},"key":"2A4E"},{"category":"Sm","mappings":{"default":{"default":"double square union"}},"key":"2A4F"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs and smash product"}},"key":"2A50"},{"category":"Sm","mappings":{"default":{"default":"and with dot above"}},"key":"2A51"},{"category":"Sm","mappings":{"default":{"default":"or with dot above"}},"key":"2A52"},{"category":"Sm","mappings":{"default":{"default":"double and"}},"key":"2A53"},{"category":"Sm","mappings":{"default":{"default":"double or"}},"key":"2A54"},{"category":"Sm","mappings":{"default":{"default":"two intersecting and"}},"key":"2A55"},{"category":"Sm","mappings":{"default":{"default":"two intersecting or"}},"key":"2A56"},{"category":"Sm","mappings":{"default":{"default":"sloping large or"}},"key":"2A57"},{"category":"Sm","mappings":{"default":{"default":"sloping large and"}},"key":"2A58"},{"category":"Sm","mappings":{"default":{"default":"or overlapping and"}},"key":"2A59"},{"category":"Sm","mappings":{"default":{"default":"and with middle stem"}},"key":"2A5A"},{"category":"Sm","mappings":{"default":{"default":"or with middle stem"}},"key":"2A5B"},{"category":"Sm","mappings":{"default":{"default":"and with horizontal dash"}},"key":"2A5C"},{"category":"Sm","mappings":{"default":{"default":"or with horizontal dash"}},"key":"2A5D"},{"category":"Sm","mappings":{"default":{"default":"and with double overbar"}},"key":"2A5E"},{"category":"Sm","mappings":{"default":{"default":"and with underbar"}},"key":"2A5F"},{"category":"Sm","mappings":{"default":{"default":"and with double underbar"}},"key":"2A60"},{"category":"Sm","mappings":{"default":{"default":"small vee with underbar"}},"key":"2A61"},{"category":"Sm","mappings":{"default":{"default":"or with double overbar"}},"key":"2A62"},{"category":"Sm","mappings":{"default":{"default":"or with double underbar"}},"key":"2A63"},{"category":"Sm","mappings":{"default":{"default":"z notation domain antirestriction"}},"key":"2A64"},{"category":"Sm","mappings":{"default":{"default":"z notation range antirestriction"}},"key":"2A65"},{"category":"Sm","mappings":{"default":{"default":"equals sign with dot below"}},"key":"2A66"},{"category":"Sm","mappings":{"default":{"default":"identical with dot above"}},"key":"2A67"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with double vertical stroke"}},"key":"2A68"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with triple vertical stroke"}},"key":"2A69"},{"category":"Sm","mappings":{"default":{"default":"tilde with dot above"}},"key":"2A6A"},{"category":"Sm","mappings":{"default":{"default":"tilde with rising dots"}},"key":"2A6B"},{"category":"Sm","mappings":{"default":{"default":"similar minus similar"}},"key":"2A6C"},{"category":"Sm","mappings":{"default":{"default":"congruent with dot above"}},"key":"2A6D"},{"category":"Sm","mappings":{"default":{"default":"equals with asterisk"}},"key":"2A6E"},{"category":"Sm","mappings":{"default":{"default":"almost equal hat"}},"key":"2A6F"},{"category":"Sm","mappings":{"default":{"default":"approximately equal or equal to"}},"key":"2A70"},{"category":"Sm","mappings":{"default":{"default":"equals above plus"}},"key":"2A71"},{"category":"Sm","mappings":{"default":{"default":"plus above equals"}},"key":"2A72"},{"category":"Sm","mappings":{"default":{"default":"equals above tilde"}},"key":"2A73"},{"category":"Sm","mappings":{"default":{"default":"double colon equal"}},"key":"2A74"},{"category":"Sm","mappings":{"default":{"default":"two consecutive equals"}},"key":"2A75"},{"category":"Sm","mappings":{"default":{"default":"three consecutive equals"}},"key":"2A76"},{"category":"Sm","mappings":{"default":{"default":"equals sign with two dots above and two dots below"}},"key":"2A77"},{"category":"Sm","mappings":{"default":{"default":"equivalent with four dots above"}},"key":"2A78"},{"category":"Sm","mappings":{"default":{"default":"less than with circle inside"}},"key":"2A79"},{"category":"Sm","mappings":{"default":{"default":"greater than with circle inside"}},"key":"2A7A"},{"category":"Sm","mappings":{"default":{"default":"less than with question mark above"}},"key":"2A7B"},{"category":"Sm","mappings":{"default":{"default":"greater than with question mark above"}},"key":"2A7C"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals"}},"key":"2A7D"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals"}},"key":"2A7E"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot inside"}},"key":"2A7F"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot inside"}},"key":"2A80"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above"}},"key":"2A81"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above"}},"key":"2A82"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above right"}},"key":"2A83"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above left"}},"key":"2A84"},{"category":"Sm","mappings":{"default":{"default":"less than or approximate"}},"key":"2A85"},{"category":"Sm","mappings":{"default":{"default":"greater than or approximate"}},"key":"2A86"},{"category":"Sm","mappings":{"default":{"default":"less than and single line not equals"}},"key":"2A87"},{"category":"Sm","mappings":{"default":{"default":"greater than and single line not equals"}},"key":"2A88"},{"category":"Sm","mappings":{"default":{"default":"less than and not approximate"}},"key":"2A89"},{"category":"Sm","mappings":{"default":{"default":"greater than and not approximate"}},"key":"2A8A"},{"category":"Sm","mappings":{"default":{"default":"less than above double line equal above greater than"}},"key":"2A8B"},{"category":"Sm","mappings":{"default":{"default":"greater than above double line equal above less than"}},"key":"2A8C"},{"category":"Sm","mappings":{"default":{"default":"less than above similar or equal"}},"key":"2A8D"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar or equal"}},"key":"2A8E"},{"category":"Sm","mappings":{"default":{"default":"less than above similar above greater than"}},"key":"2A8F"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar above less than"}},"key":"2A90"},{"category":"Sm","mappings":{"default":{"default":"less than above greater than above double line equal"}},"key":"2A91"},{"category":"Sm","mappings":{"default":{"default":"greater than above less than above double line equal"}},"key":"2A92"},{"category":"Sm","mappings":{"default":{"default":"less than above slanted equal above greater than above slanted equal"}},"key":"2A93"},{"category":"Sm","mappings":{"default":{"default":"greater than above slanted equal above less than above slanted equal"}},"key":"2A94"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than"}},"key":"2A95"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than"}},"key":"2A96"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than with dot inside"}},"key":"2A97"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than with dot inside"}},"key":"2A98"},{"category":"Sm","mappings":{"default":{"default":"double line equals or less than"}},"key":"2A99"},{"category":"Sm","mappings":{"default":{"default":"double line equals or greater than"}},"key":"2A9A"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or less than"}},"key":"2A9B"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or greater than"}},"key":"2A9C"},{"category":"Sm","mappings":{"default":{"default":"similar or less than"}},"key":"2A9D"},{"category":"Sm","mappings":{"default":{"default":"similar or greater than"}},"key":"2A9E"},{"category":"Sm","mappings":{"default":{"default":"similar above less than above equals sign"}},"key":"2A9F"},{"category":"Sm","mappings":{"default":{"default":"similar above greater than above equals sign"}},"key":"2AA0"},{"category":"Sm","mappings":{"default":{"default":"double nested less than"}},"key":"2AA1"},{"category":"Sm","mappings":{"default":{"default":"double nested greater than"}},"key":"2AA2"},{"category":"Sm","mappings":{"default":{"default":"double nested less than with underbar"}},"key":"2AA3"},{"category":"Sm","mappings":{"default":{"default":"greater than overlapping less than"}},"key":"2AA4"},{"category":"Sm","mappings":{"default":{"default":"greater than beside less than"}},"key":"2AA5"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve"}},"key":"2AA6"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve"}},"key":"2AA7"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve above slanted equal"}},"key":"2AA8"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve above slanted equal"}},"key":"2AA9"},{"category":"Sm","mappings":{"default":{"default":"smaller than"},"clearspeak":{"default":"is smaller than"}},"key":"2AAA"},{"category":"Sm","mappings":{"default":{"default":"larger than"},"clearspeak":{"default":"is larger than"}},"key":"2AAB"},{"category":"Sm","mappings":{"default":{"default":"smaller than or equals"},"clearspeak":{"default":"is smaller than or equal to"}},"key":"2AAC"},{"category":"Sm","mappings":{"default":{"default":"larger than or equal"},"clearspeak":{"default":"is larger than or equal to"}},"key":"2AAD"},{"category":"Sm","mappings":{"default":{"default":"equals with bumpy above"}},"key":"2AAE"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line equals sign"}},"key":"2AAF"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line equals sign"}},"key":"2AB0"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line not equals"}},"key":"2AB1"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line not equals"}},"key":"2AB2"},{"category":"Sm","mappings":{"default":{"default":"precedes above equals"}},"key":"2AB3"},{"category":"Sm","mappings":{"default":{"default":"succeeds above equals"}},"key":"2AB4"},{"category":"Sm","mappings":{"default":{"default":"precedes above not equals"}},"key":"2AB5"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not equals"}},"key":"2AB6"},{"category":"Sm","mappings":{"default":{"default":"precedes above almost equals"}},"key":"2AB7"},{"category":"Sm","mappings":{"default":{"default":"succeeds above almost equals"}},"key":"2AB8"},{"category":"Sm","mappings":{"default":{"default":"precedes above not almost equals"}},"key":"2AB9"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not almost equals"}},"key":"2ABA"},{"category":"Sm","mappings":{"default":{"default":"double precedes"}},"key":"2ABB"},{"category":"Sm","mappings":{"default":{"default":"double succeeds"}},"key":"2ABC"},{"category":"Sm","mappings":{"default":{"default":"subset with dot"}},"key":"2ABD"},{"category":"Sm","mappings":{"default":{"default":"superset with dot"}},"key":"2ABE"},{"category":"Sm","mappings":{"default":{"default":"subset with plus sign below"}},"key":"2ABF"},{"category":"Sm","mappings":{"default":{"default":"superset with plus sign below"}},"key":"2AC0"},{"category":"Sm","mappings":{"default":{"default":"subset with multiplication sign below"}},"key":"2AC1"},{"category":"Sm","mappings":{"default":{"default":"superset with multiplication sign below"}},"key":"2AC2"},{"category":"Sm","mappings":{"default":{"default":"subset of or equals with dot above"}},"key":"2AC3"},{"category":"Sm","mappings":{"default":{"default":"superset of or equals with dot above"}},"key":"2AC4"},{"category":"Sm","mappings":{"default":{"default":"subset of above equals sign"}},"key":"2AC5"},{"category":"Sm","mappings":{"default":{"default":"superset of above equals sign"}},"key":"2AC6"},{"category":"Sm","mappings":{"default":{"default":"subset of above tilde"}},"key":"2AC7"},{"category":"Sm","mappings":{"default":{"default":"superset of above tilde"}},"key":"2AC8"},{"category":"Sm","mappings":{"default":{"default":"subset of above almost equals"}},"key":"2AC9"},{"category":"Sm","mappings":{"default":{"default":"superset of above almost equals"}},"key":"2ACA"},{"category":"Sm","mappings":{"default":{"default":"subset of above not equals"}},"key":"2ACB"},{"category":"Sm","mappings":{"default":{"default":"superset of above not equals"}},"key":"2ACC"},{"category":"Sm","mappings":{"default":{"default":"square left open box"}},"key":"2ACD"},{"category":"Sm","mappings":{"default":{"default":"square right open box"}},"key":"2ACE"},{"category":"Sm","mappings":{"default":{"default":"closed subset"}},"key":"2ACF"},{"category":"Sm","mappings":{"default":{"default":"closed superset"}},"key":"2AD0"},{"category":"Sm","mappings":{"default":{"default":"closed subset or equals"}},"key":"2AD1"},{"category":"Sm","mappings":{"default":{"default":"closed superset or equals"}},"key":"2AD2"},{"category":"Sm","mappings":{"default":{"default":"subset above superset"}},"key":"2AD3"},{"category":"Sm","mappings":{"default":{"default":"superset above subset"}},"key":"2AD4"},{"category":"Sm","mappings":{"default":{"default":"subset above subset"}},"key":"2AD5"},{"category":"Sm","mappings":{"default":{"default":"superset above superset"}},"key":"2AD6"},{"category":"Sm","mappings":{"default":{"default":"superset beside subset"}},"key":"2AD7"},{"category":"Sm","mappings":{"default":{"default":"superset beside and joined by dash with subset"}},"key":"2AD8"},{"category":"Sm","mappings":{"default":{"default":"element of opening downwards"}},"key":"2AD9"},{"category":"Sm","mappings":{"default":{"default":"pitchfork with tee top"}},"key":"2ADA"},{"category":"Sm","mappings":{"default":{"default":"transversal intersection"}},"key":"2ADB"},{"category":"Sm","mappings":{"default":{"default":"forking"}},"key":"2ADC"},{"category":"Sm","mappings":{"default":{"default":"nonforking"}},"key":"2ADD"},{"category":"Sm","mappings":{"default":{"default":"short left tack"}},"key":"2ADE"},{"category":"Sm","mappings":{"default":{"default":"short down tack"}},"key":"2ADF"},{"category":"Sm","mappings":{"default":{"default":"short up tack"}},"key":"2AE0"},{"category":"Sm","mappings":{"default":{"default":"perpendicular with s"}},"key":"2AE1"},{"category":"Sm","mappings":{"default":{"default":"vertical bar triple right turnstile"}},"key":"2AE2"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar left turnstile"}},"key":"2AE3"},{"category":"Sm","mappings":{"default":{"default":"vertical bar double left turnstile"}},"key":"2AE4"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double left turnstile"}},"key":"2AE5"},{"category":"Sm","mappings":{"default":{"default":"long dash from left member of double vertical"}},"key":"2AE6"},{"category":"Sm","mappings":{"default":{"default":"short down tack with overbar"}},"key":"2AE7"},{"category":"Sm","mappings":{"default":{"default":"short up tack with underbar"}},"key":"2AE8"},{"category":"Sm","mappings":{"default":{"default":"short up tack above short down tack"}},"key":"2AE9"},{"category":"Sm","mappings":{"default":{"default":"double down tack"}},"key":"2AEA"},{"category":"Sm","mappings":{"default":{"default":"double up tack"}},"key":"2AEB"},{"category":"Sm","mappings":{"default":{"default":"double stroke not sign"}},"key":"2AEC"},{"category":"Sm","mappings":{"default":{"default":"reversed double stroke not sign"}},"key":"2AED"},{"category":"Sm","mappings":{"default":{"default":"does not divide with reversed negation slash"}},"key":"2AEE"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle above"}},"key":"2AEF"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle below"}},"key":"2AF0"},{"category":"Sm","mappings":{"default":{"default":"down tack with circle below"}},"key":"2AF1"},{"category":"Sm","mappings":{"default":{"default":"parallel with horizontal stroke"}},"key":"2AF2"},{"category":"Sm","mappings":{"default":{"default":"parallel with tilde"}},"key":"2AF3"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar binary relation"}},"key":"2AF4"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar with horizontal stroke"}},"key":"2AF5"},{"category":"Sm","mappings":{"default":{"default":"triple colon"}},"key":"2AF6"},{"category":"Sm","mappings":{"default":{"default":"triple nested less than"}},"key":"2AF7"},{"category":"Sm","mappings":{"default":{"default":"triple nested greater than"}},"key":"2AF8"},{"category":"Sm","mappings":{"default":{"default":"double line slanted less than or equals"}},"key":"2AF9"},{"category":"Sm","mappings":{"default":{"default":"double line slanted greater than or equals"}},"key":"2AFA"},{"category":"Sm","mappings":{"default":{"default":"triple solidus binary relation"}},"key":"2AFB"},{"category":"Sm","mappings":{"default":{"default":"large triple vertical bar"}},"key":"2AFC"},{"category":"Sm","mappings":{"default":{"default":"double solidus"}},"key":"2AFD"},{"category":"Sm","mappings":{"default":{"default":"white vertical bar"}},"key":"2AFE"},{"category":"Sm","mappings":{"default":{"default":"n ary white vertical bar"},"mathspeak":{"default":"white vertical bar"}},"key":"2AFF"},{"category":"Pd","mappings":{"default":{"default":"wave dash"}},"key":"301C"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical comma"}},"key":"FE10"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical colon"}},"key":"FE13"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical semicolon"}},"key":"FE14"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical exclamation mark"}},"key":"FE15"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical question mark"}},"key":"FE16"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical horizontal ellipsis"}},"key":"FE19"},{"category":"Po","mappings":{"default":{"default":"glyph for vertical two dot leader"}},"key":"FE30"},{"category":"Pd","mappings":{"default":{"default":"glyph for vertical em dash"}},"key":"FE31"},{"category":"Pd","mappings":{"default":{"default":"glyph for vertical en dash"}},"key":"FE32"},{"category":"Pc","mappings":{"default":{"default":"glyph for vertical underline"}},"key":"FE33"},{"category":"Pc","mappings":{"default":{"default":"glyph for vertical wavy underline"}},"key":"FE34"},{"category":"Po","mappings":{"default":{"default":"sesame dot"}},"key":"FE45"},{"category":"Po","mappings":{"default":{"default":"white sesame dot"}},"key":"FE46"},{"category":"Po","mappings":{"default":{"default":"dashed overline"}},"key":"FE49"},{"category":"Po","mappings":{"default":{"default":"dash dot overline"}},"key":"FE4A"},{"category":"Po","mappings":{"default":{"default":"wavy overline"}},"key":"FE4B"},{"category":"Po","mappings":{"default":{"default":"double wavy overline"}},"key":"FE4C"},{"category":"Pc","mappings":{"default":{"default":"dashed underline"}},"key":"FE4D"},{"category":"Pc","mappings":{"default":{"default":"dash dot underline"}},"key":"FE4E"},{"category":"Pc","mappings":{"default":{"default":"wavy underline"}},"key":"FE4F"},{"category":"Po","mappings":{"default":{"default":"small comma"}},"key":"FE50"},{"category":"Po","mappings":{"default":{"default":"small period"}},"key":"FE52"},{"category":"Po","mappings":{"default":{"default":"small semicolon"}},"key":"FE54"},{"category":"Po","mappings":{"default":{"default":"small colon"}},"key":"FE55"},{"category":"Po","mappings":{"default":{"default":"small question mark"}},"key":"FE56"},{"category":"Po","mappings":{"default":{"default":"small exclamation mark"}},"key":"FE57"},{"category":"Pd","mappings":{"default":{"default":"small em dash"}},"key":"FE58"},{"category":"Po","mappings":{"default":{"default":"small number sign"}},"key":"FE5F"},{"category":"Po","mappings":{"default":{"default":"small ampersand"}},"key":"FE60"},{"category":"Po","mappings":{"default":{"default":"small asterisk"}},"key":"FE61"},{"category":"Sm","mappings":{"default":{"default":"small plus sign"}},"key":"FE62"},{"category":"Pd","mappings":{"default":{"default":"small hyphen minus"}},"key":"FE63"},{"category":"Sm","mappings":{"default":{"default":"small less than sign"}},"key":"FE64"},{"category":"Sm","mappings":{"default":{"default":"small greater than sign"}},"key":"FE65"},{"category":"Sm","mappings":{"default":{"default":"small equals"}},"key":"FE66"},{"category":"Po","mappings":{"default":{"default":"small backslash","alternative":"small reverse solidus"}},"key":"FE68"},{"category":"Sc","mappings":{"default":{"default":"small dollar sign"}},"key":"FE69"},{"category":"Po","mappings":{"default":{"default":"small percent sign"}},"key":"FE6A"},{"category":"Po","mappings":{"default":{"default":"small commercial at"}},"key":"FE6B"},{"category":"Po","mappings":{"default":{"default":"exclamation mark"}},"key":"FF01"},{"category":"Po","mappings":{"default":{"default":"quotation mark"}},"key":"FF02"},{"category":"Po","mappings":{"default":{"default":"number sign"}},"key":"FF03"},{"category":"Sc","mappings":{"default":{"default":"dollar sign"}},"key":"FF04"},{"category":"Po","mappings":{"default":{"default":"percent sign"}},"key":"FF05"},{"category":"Po","mappings":{"default":{"default":"ampersand"}},"key":"FF06"},{"category":"Po","mappings":{"default":{"default":"apostrophe"}},"key":"FF07"},{"category":"Po","mappings":{"default":{"default":"asterisk"}},"key":"FF0A"},{"category":"Sm","mappings":{"default":{"default":"plus sign"}},"key":"FF0B"},{"category":"Po","mappings":{"default":{"default":"comma"}},"key":"FF0C"},{"category":"Pd","mappings":{"default":{"default":"hyphen minus"}},"key":"FF0D"},{"category":"Po","mappings":{"default":{"default":"period"}},"key":"FF0E"},{"category":"Po","mappings":{"default":{"default":"slash","alternative":"solidus"}},"key":"FF0F"},{"category":"Po","mappings":{"default":{"default":"colon"}},"key":"FF1A"},{"category":"Po","mappings":{"default":{"default":"semicolon"}},"key":"FF1B"},{"category":"Sm","mappings":{"default":{"default":"less than"}},"key":"FF1C"},{"category":"Sm","mappings":{"default":{"default":"equals"}},"key":"FF1D"},{"category":"Sm","mappings":{"default":{"default":"greater than"}},"key":"FF1E"},{"category":"Po","mappings":{"default":{"default":"question mark"}},"key":"FF1F"},{"category":"Po","mappings":{"default":{"default":"commercial at"}},"key":"FF20"},{"category":"Po","mappings":{"default":{"default":"backslash","alternative":"reverse solidus"}},"key":"FF3C"},{"category":"Sk","mappings":{"default":{"default":"caret","alternative":"circumflex"}},"key":"FF3E"},{"category":"Pc","mappings":{"default":{"default":"bar","alternative":"underline"}},"key":"FF3F"},{"category":"Sk","mappings":{"default":{"default":"grave"}},"key":"FF40"},{"category":"Sm","mappings":{"default":{"default":"vertical bar"}},"key":"FF5C"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"FF5E"},{"category":"Sc","mappings":{"default":{"default":"cent sign"}},"key":"FFE0"},{"category":"Sc","mappings":{"default":{"default":"pound sign"}},"key":"FFE1"},{"category":"Sm","mappings":{"default":{"default":"not sign"}},"key":"FFE2"},{"category":"Sk","mappings":{"default":{"default":"macron"},"mathspeak":{"default":"bar"}},"key":"FFE3"},{"category":"So","mappings":{"default":{"default":"broken vertical bar"}},"key":"FFE4"},{"category":"Sc","mappings":{"default":{"default":"yen sign"}},"key":"FFE5"},{"category":"Sc","mappings":{"default":{"default":"won sign"}},"key":"FFE6"},{"category":"So","mappings":{"default":{"default":"halfwidth forms light vertical"}},"key":"FFE8"},{"category":"So","mappings":{"default":{"default":"halfwidth black square"}},"key":"FFED"},{"category":"So","mappings":{"default":{"default":"halfwidth white circle"}},"key":"FFEE"}]
+,
+"en/symbols/math_whitespace.js": 
+[{"locale":"en"},{"category":"Zs","mappings":{"default":{"default":"space"}},"key":"0020"},{"category":"Zs","mappings":{"default":{"default":"no break space","alternative":"non breaking space"}},"key":"00A0"},{"category":"Cf","mappings":{"default":{"default":"soft hyphen"}},"key":"00AD"},{"category":"Zs","mappings":{"default":{"default":"en quad"}},"key":"2000"},{"category":"Zs","mappings":{"default":{"default":"em quad"}},"key":"2001"},{"category":"Zs","mappings":{"default":{"default":"en space"}},"key":"2002"},{"category":"Zs","mappings":{"default":{"default":"em space"}},"key":"2003"},{"category":"Zs","mappings":{"default":{"default":"three per em space"}},"key":"2004"},{"category":"Zs","mappings":{"default":{"default":"four per em space"}},"key":"2005"},{"category":"Zs","mappings":{"default":{"default":"six per em space"}},"key":"2006"},{"category":"Zs","mappings":{"default":{"default":"figure space"}},"key":"2007"},{"category":"Zs","mappings":{"default":{"default":"punctuation space"}},"key":"2008"},{"category":"Zs","mappings":{"default":{"default":"thin space"}},"key":"2009"},{"category":"Zs","mappings":{"default":{"default":"hair space"}},"key":"200A"},{"category":"Cf","mappings":{"default":{"default":"zero width space"}},"key":"200B"},{"category":"Cf","mappings":{"default":{"default":"zero width non joiner"}},"key":"200C"},{"category":"Cf","mappings":{"default":{"default":"zero width joiner"}},"key":"200D"},{"category":"Cf","mappings":{"default":{"default":"left to right mark"}},"key":"200E"},{"category":"Cf","mappings":{"default":{"default":"right to left mark"}},"key":"200F"},{"category":"Zl","mappings":{"default":{"default":"line separator"}},"key":"2028"},{"category":"Zp","mappings":{"default":{"default":"paragraph separator"}},"key":"2029"},{"category":"Cf","mappings":{"default":{"default":"left to right embedding"}},"key":"202A"},{"category":"Cf","mappings":{"default":{"default":"right to left embedding"}},"key":"202B"},{"category":"Cf","mappings":{"default":{"default":"pop directional formatting"}},"key":"202C"},{"category":"Cf","mappings":{"default":{"default":"left to right override"}},"key":"202D"},{"category":"Cf","mappings":{"default":{"default":"right to left override"}},"key":"202E"},{"category":"Zs","mappings":{"default":{"default":"narrow no break space"}},"key":"202F"},{"category":"Zs","mappings":{"default":{"default":"medium mathematical space"}},"key":"205F"},{"category":"Cf","mappings":{"default":{"default":"word joiner"}},"key":"2060"},{"category":"Cf","mappings":{"default":{"default":"of","alternative":"function application"}},"key":"2061"},{"category":"Cf","mappings":{"default":{"default":"times","alternative":"invisible times"}},"key":"2062"},{"category":"Cf","mappings":{"default":{"default":"separator","alternative":"invisible separator"}},"key":"2063"},{"category":"Cf","mappings":{"default":{"default":"plus","alternative":"invisible plus"}},"key":"2064"},{"category":"Cf","mappings":{"default":{"default":"inhibit symmetric swapping"}},"key":"206A"},{"category":"Cf","mappings":{"default":{"default":"activate symmetric swapping"}},"key":"206B"},{"category":"Cf","mappings":{"default":{"default":"national digit shapes"}},"key":"206E"},{"category":"Cf","mappings":{"default":{"default":"nominal digit shapes"}},"key":"206F"},{"category":"Cf","mappings":{"default":{"default":"zero width no break space","alternative":"byte order mark"}},"key":"FEFF"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation anchor"}},"key":"FFF9"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation separator"}},"key":"FFFA"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation terminator"}},"key":"FFFB"}]
+,
+"en/symbols/other_stars.js": 
+[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"decimal exponent symbol"}},"key":"23E8"},{"category":"So","mappings":{"default":{"default":"black star"}},"key":"2605"},{"category":"So","mappings":{"default":{"default":"white star"}},"key":"2606"},{"category":"So","mappings":{"default":{"default":"white circle","alternative":"medium white circle"}},"key":"26AA"},{"category":"So","mappings":{"default":{"default":"black circle","alternative":"medium black circle"}},"key":"26AB"},{"category":"So","mappings":{"default":{"default":"white check mark","alternative":"white heavy check mark"}},"key":"2705"},{"category":"So","mappings":{"default":{"default":"check mark"}},"key":"2713"},{"category":"So","mappings":{"default":{"default":"heavy check mark"}},"key":"2714"},{"category":"So","mappings":{"default":{"default":"multiplication x"}},"key":"2715"},{"category":"So","mappings":{"default":{"default":"heavy multiplication x"}},"key":"2716"},{"category":"So","mappings":{"default":{"default":"ballot x"}},"key":"2717"},{"category":"So","mappings":{"default":{"default":"heavy ballot x"}},"key":"2718"},{"category":"So","mappings":{"default":{"default":"open center cross"}},"key":"271B"},{"category":"So","mappings":{"default":{"default":"heavy open center cross"}},"key":"271C"},{"category":"So","mappings":{"default":{"default":"maltese cross"}},"key":"2720"},{"category":"So","mappings":{"default":{"default":"star of david"}},"key":"2721"},{"category":"So","mappings":{"default":{"default":"four teardrop spoked asterisk"}},"key":"2722"},{"category":"So","mappings":{"default":{"default":"four balloon spoked asterisk"}},"key":"2723"},{"category":"So","mappings":{"default":{"default":"heavy four balloon spoked asterisk"}},"key":"2724"},{"category":"So","mappings":{"default":{"default":"four club spoked asterisk"}},"key":"2725"},{"category":"So","mappings":{"default":{"default":"black four pointed star"}},"key":"2726"},{"category":"So","mappings":{"default":{"default":"white four pointed star"}},"key":"2727"},{"category":"So","mappings":{"default":{"default":"sparkles"}},"key":"2728"},{"category":"So","mappings":{"default":{"default":"stress outlined white star"}},"key":"2729"},{"category":"So","mappings":{"default":{"default":"circled white star"}},"key":"272A"},{"category":"So","mappings":{"default":{"default":"open center black star"}},"key":"272B"},{"category":"So","mappings":{"default":{"default":"black center white star"}},"key":"272C"},{"category":"So","mappings":{"default":{"default":"outlined black star"}},"key":"272D"},{"category":"So","mappings":{"default":{"default":"heavy outlined black star"}},"key":"272E"},{"category":"So","mappings":{"default":{"default":"pinwheel star"}},"key":"272F"},{"category":"So","mappings":{"default":{"default":"shadowed white star"}},"key":"2730"},{"category":"So","mappings":{"default":{"default":"heavy asterisk"}},"key":"2731"},{"category":"So","mappings":{"default":{"default":"open center asterisk"}},"key":"2732"},{"category":"So","mappings":{"default":{"default":"eight spoked asterisk"}},"key":"2733"},{"category":"So","mappings":{"default":{"default":"eight pointed black star"}},"key":"2734"},{"category":"So","mappings":{"default":{"default":"eight pointed pinwheel star"}},"key":"2735"},{"category":"So","mappings":{"default":{"default":"six pointed black star"}},"key":"2736"},{"category":"So","mappings":{"default":{"default":"twelve pointed black star"}},"key":"2739"},{"category":"So","mappings":{"default":{"default":"sixteen pointed asterisk"}},"key":"273A"},{"category":"So","mappings":{"default":{"default":"teardrop spoked asterisk"}},"key":"273B"},{"category":"So","mappings":{"default":{"default":"open center teardrop spoked asterisk"}},"key":"273C"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"key":"273D"},{"category":"So","mappings":{"default":{"default":"six petalled black and white florette"}},"key":"273E"},{"category":"So","mappings":{"default":{"default":"black florette"}},"key":"273F"},{"category":"So","mappings":{"default":{"default":"white florette"}},"key":"2740"},{"category":"So","mappings":{"default":{"default":"eight petalled outlined black florette"}},"key":"2741"},{"category":"So","mappings":{"default":{"default":"circled open center eight pointed star"}},"key":"2742"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked pinwheel asterisk"}},"key":"2743"},{"category":"So","mappings":{"default":{"default":"snowflake"}},"key":"2744"},{"category":"So","mappings":{"default":{"default":"tight trifoliate snowflake"}},"key":"2745"},{"category":"So","mappings":{"default":{"default":"heavy chevron snowflake"}},"key":"2746"},{"category":"So","mappings":{"default":{"default":"sparkle"}},"key":"2747"},{"category":"So","mappings":{"default":{"default":"heavy sparkle"}},"key":"2748"},{"category":"So","mappings":{"default":{"default":"balloon spoked asterisk"}},"key":"2749"},{"category":"So","mappings":{"default":{"default":"eight teardrop spoked propeller asterisk"}},"key":"274A"},{"category":"So","mappings":{"default":{"default":"heavy eight teardrop spoked propeller asterisk"}},"key":"274B"},{"category":"So","mappings":{"default":{"default":"cross mark"}},"key":"274C"},{"category":"So","mappings":{"default":{"default":"shadowed white circle"}},"key":"274D"}]
+,
+"en/units/area.js": 
+[{"locale":"en"},{"category":"other","mappings":{"default":{"default":"square"}},"key":"sq","names":["sq","sq."]},{"category":"area","mappings":{"default":{"default":"square inch"}},"key":"sq inch","names":["sq inch","sq. inch."]},{"category":"area","mappings":{"default":{"default":"square rod"}},"key":"sq rd","names":["sq rd","sq. rd."]},{"category":"area","mappings":{"default":{"default":"square foot","plural":"square feet"}},"key":"sq ft","names":["sq ft","sq. ft."]},{"category":"area","mappings":{"default":{"default":"square yard"}},"key":"sq yd","names":["sq yd","sq. yd."]},{"category":"area","mappings":{"default":{"default":"square mile"}},"key":"sq mi","names":["sq mi","sq. mi."]},{"category":"area","mappings":{"default":{"default":"acre"}},"key":"acr","names":["ac","ac.","acr","acr."]},{"category":"area","mappings":{"default":{"default":"hectare"}},"key":"ha","names":["ha"]}]
+,
+"en/units/currency.js": 
+[{"locale":"en"},{"category":"currency","key":"$","mappings":{"default":{"default":"dollar"}},"names":["$","💲","＄","﹩","USD"]},{"category":"currency","key":"£","mappings":{"default":{"default":"pound"}},"names":["£","￡","GBP"]},{"category":"currency","key":"¥","mappings":{"default":{"default":"yen"}},"names":["¥","￥","JPY"]},{"category":"currency","key":"€","mappings":{"default":{"default":"euro"}},"names":["€","EUR"]},{"category":"currency","key":"₡","mappings":{"default":{"default":"colon"}},"names":["₡","CRC"]},{"category":"currency","key":"₢","mappings":{"default":{"default":"cruzeiro"}},"names":["₢"]},{"category":"currency","key":"₣","mappings":{"default":{"default":"franc"}},"names":["₣"]},{"category":"currency","key":"₤","mappings":{"default":{"default":"lira"}},"names":["₤"]},{"category":"currency","key":"₥","mappings":{"default":{"default":"mill"}},"names":["₥"]},{"category":"currency","key":"₦","mappings":{"default":{"default":"naira"}},"names":["₦","NGN"]},{"category":"currency","key":"₧","mappings":{"default":{"default":"peseta"}},"names":["₧"]},{"category":"currency","key":"₨","mappings":{"default":{"default":"rupee"}},"names":["₨","₹","INR","NPR","PKR","LKR"]},{"category":"currency","key":"₩","mappings":{"default":{"default":"won"}},"names":["₩","￦","KRW"]},{"category":"currency","key":"₪","mappings":{"default":{"default":"sheqel"}},"names":["₪"]},{"category":"currency","key":"₫","mappings":{"default":{"default":"dong"}},"names":["₫"]},{"category":"currency","key":"₭","mappings":{"default":{"default":"kip"}},"names":["₭"]},{"category":"currency","key":"₮","mappings":{"default":{"default":"tugrik"}},"names":["₮"]},{"category":"currency","key":"₯","mappings":{"default":{"default":"drachma"}},"names":["₯"]},{"category":"currency","key":"₰","mappings":{"default":{"default":"Pfennig"}},"names":["₰"]},{"category":"currency","key":"₱","mappings":{"default":{"default":"peso"}},"names":["₱"]},{"category":"currency","key":"₲","mappings":{"default":{"default":"guaranis"}},"names":["₲"]},{"category":"currency","key":"₳","mappings":{"default":{"default":"austral"}},"names":["₳"]},{"category":"currency","key":"₴","mappings":{"default":{"default":"hryvnia"}},"names":["₴","UAH"]},{"category":"currency","key":"₵","mappings":{"default":{"default":"cedis"}},"names":["₵","GHS"]},{"category":"currency","key":"₶","mappings":{"default":{"default":"livre tournois"}},"names":["₶"]},{"category":"currency","key":"₷","mappings":{"default":{"default":"spesmilo"}},"names":["₷"]},{"category":"currency","key":"₸","mappings":{"default":{"default":"tenge"}},"names":["₸","KZT"]},{"category":"currency","key":"₺","mappings":{"default":{"default":"turkish lira"}},"names":["₺","TRY"]},{"category":"currency","key":"元","mappings":{"default":{"default":"yuan"}},"names":["元"]},{"category":"currency","key":"¢","mappings":{"default":{"default":"cent"}},"names":["￠","¢"]}]
+,
+"en/units/energy.js": 
+[{"locale":"en"},{"category":"energy","mappings":{"default":{"default":"watt"}},"key":"W","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"kilowatt"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"milliwatt"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"kilowatt hour"}},"key":"kwh","names":["kwh","kWh"]},{"category":"energy","mappings":{"default":{"default":"joule"}},"key":"J","names":["J"]},{"category":"energy","mappings":{"default":{"default":"Newton"}},"key":"N","names":["N"]},{"category":"energy","mappings":{"default":{"default":"ampere"}},"key":"A","names":["A"]},{"category":"energy","mappings":{"default":{"default":"volt"}},"key":"V","names":["V"]},{"category":"energy","mappings":{"default":{"default":"microohm"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"milliohm"}},"key":"mΩ","names":["mΩ"]},{"category":"energy","mappings":{"default":{"default":"ohm"}},"key":"Ω","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"kilohm"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"megaohm"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"gigaohm"}},"key":"GΩ","names":["GΩ"]}]
+,
+"en/units/length.js": 
+[{"locale":"en"},{"category":"length","mappings":{"default":{"default":"foot"}},"key":"ft","names":["ft","ft."]},{"category":"length","mappings":{"default":{"default":"inch"}},"key":"in","names":["in","in."]},{"category":"length","mappings":{"default":{"default":"mile"}},"key":"mi","names":["mi","mi."]},{"category":"length","mappings":{"default":{"default":"yard"}},"key":"yd","names":["yd","yd."]},{"category":"length","mappings":{"default":{"default":"link"}},"key":"link","names":["li","li."]},{"category":"length","mappings":{"default":{"default":"rod"}},"key":"rod","names":["rd","rd."]},{"category":"length","mappings":{"default":{"default":"chain"}},"key":"chain","names":["ch","ch."]},{"category":"length","mappings":{"default":{"default":"furlong"}},"key":"furlong","names":["fur","fur."]},{"category":"length","mappings":{"default":{"default":"nautical mile"}},"key":"n.m.","names":["n.m."]},{"category":"length","mappings":{"default":{"default":"millimeter"}},"key":"mm","names":["mm"]},{"category":"length","mappings":{"default":{"default":"centimeter"}},"key":"cm","names":["cm"]},{"category":"length","mappings":{"default":{"default":"meter"}},"key":"m","names":["m"]},{"category":"length","mappings":{"default":{"default":"kilometer"}},"key":"km","names":["km"]}]
+,
+"en/units/memory.js": 
+[{"locale":"en"},{"category":"memory","mappings":{"default":{"default":"bit"}},"key":"b","names":["b"]},{"category":"memory","mappings":{"default":{"default":"byte"}},"key":"B","names":["B"]},{"category":"memory","mappings":{"default":{"default":"kilobyte"}},"key":"KB","names":["KB"]},{"category":"memory","mappings":{"default":{"default":"megabyte"}},"key":"MB","names":["MB"]},{"category":"memory","mappings":{"default":{"default":"gigabyte"}},"key":"GB","names":["GB"]},{"category":"memory","mappings":{"default":{"default":"terabyte"}},"key":"TB","names":["TB"]}]
+,
+"en/units/other.js": 
+[{"locale":"en"},{"category":"other","mappings":{"default":{"default":"dozen"}},"key":"doz","names":["doz","doz.","dz","dz."]}]
+,
+"en/units/speed.js": 
+[{"locale":"en"},{"category":"speed","mappings":{"default":{"default":"knot"}},"key":"kt","names":["kt","kt."]},{"category":"speed","mappings":{"default":{"default":"miles per hour"}},"key":"mph","names":["mph"]},{"category":"speed","mappings":{"default":{"default":"revolutions per minute"}},"key":"rpm","names":["rpm"]},{"category":"speed","mappings":{"default":{"default":"kilometers per hour"}},"key":"kmh","names":["kmh"]}]
+,
+"en/units/temperature.js": 
+[{"locale":"en"},{"category":"temperature","mappings":{"default":{"default":"Fahrenheit"}},"key":"F","names":["F","F.","°F"]},{"category":"temperature","mappings":{"default":{"default":"Celsius","alternative":"Centigrade"}},"key":"C","names":["C","°C"]},{"category":"temperature","mappings":{"default":{"default":"Kelvin"}},"key":"K","names":["K","°K"]}]
+,
+"en/units/time.js": 
+[{"locale":"en"},{"category":"time","mappings":{"default":{"default":"nanosecond"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"microsecond"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"millisecond"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"second"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"minute"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"hour"}},"key":"h","names":["h","hr"]}]
+,
+"en/units/volume.js": 
+[{"locale":"en"},{"category":"volume","mappings":{"default":{"default":"cubic"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"cubic inch"}},"key":"cu inch","names":["cu in","cu. in."]},{"category":"volume","mappings":{"default":{"default":"cubic foot","plural":"cubic feet"}},"key":"cu ft","names":["cu ft","cu. ft."]},{"category":"volume","mappings":{"default":{"default":"cubic yard"}},"key":"cu yd","names":["cu yd","cu. yd."]},{"category":"volume","mappings":{"default":{"default":"barrel"}},"key":"bbl","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"fluid ounce"}},"key":"fl. oz.","names":["fl. oz.","fl oz"]},{"category":"volume","mappings":{"default":{"default":"gallon"}},"key":"gal","names":["gal","gal."]},{"category":"volume","mappings":{"default":{"default":"pint"}},"key":"pt","names":["pt","pt."]},{"category":"volume","mappings":{"default":{"default":"quart"}},"key":"qt","names":["qt","qt."]},{"category":"volume","mappings":{"default":{"default":"fluid dram"}},"key":"fluid dram","names":["fl dr","fl. dr."]},{"category":"volume","mappings":{"default":{"default":"tablespoon"}},"key":"tbsp","names":["tbsp","tbsp.","Tbsp","Tbsp."]},{"category":"volume","mappings":{"default":{"default":"teaspoon"}},"key":"tsp","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"cup"}},"key":"cup","names":["cp","cp."]},{"category":"volume","mappings":{"default":{"default":"cubic centimeter"}},"key":"cc","names":["cc","ccm"]},{"category":"volume","mappings":{"default":{"default":"kiloliter"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"liter"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"milliliter"}},"key":"ml","names":["ml"]}]
+,
+"en/units/weight.js": 
+[{"locale":"en"},{"category":"weight","mappings":{"default":{"default":"dram"}},"key":"dram","names":["dr","dr."]},{"category":"weight","mappings":{"default":{"default":"ounce"}},"key":"oz","names":["oz","oz."]},{"category":"weight","mappings":{"default":{"default":"pound"}},"key":"lb","names":["lb","lb."]},{"category":"weight","mappings":{"default":{"default":"stone"}},"key":"st","names":["st","st."]},{"category":"weight","mappings":{"default":{"default":"quarter"}},"key":"qtr","names":["qtr","qtr."]},{"category":"weight","mappings":{"default":{"default":"hundredweight"}},"key":"cwt","names":["cwt","cwt."]},{"category":"weight","mappings":{"default":{"default":"long ton"}},"key":"LT","names":["LT","L.T."]},{"category":"weight","mappings":{"default":{"default":"gram"}},"key":"gr","names":["g","gr"]},{"category":"weight","mappings":{"default":{"default":"kilogram"}},"key":"kg","names":["kg"]},{"category":"weight","mappings":{"default":{"default":"microgram"}},"key":"mcg","names":["mcg","µg"]},{"category":"weight","mappings":{"default":{"default":"milligram"}},"key":"mg","names":["mg"]},{"category":"weight","mappings":{"default":{"default":"ton"}},"key":"t","names":["t","T"]}]
+}
+
diff --git a/extensions/a11y/mathmaps/en/functions/algebra.js b/extensions/a11y/mathmaps/en/functions/algebra.js
deleted file mode 100644
index a458317014..0000000000
--- a/extensions/a11y/mathmaps/en/functions/algebra.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Algebra","mappings":{"default":{"default":"degree"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"determinant","short":"det"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphism","short":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"kernel"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]
diff --git a/extensions/a11y/mathmaps/en/functions/elementary.js b/extensions/a11y/mathmaps/en/functions/elementary.js
deleted file mode 100644
index 8751c76bd5..0000000000
--- a/extensions/a11y/mathmaps/en/functions/elementary.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Elementary","mappings":{"default":{"default":"logarithm","alternative":"logarithm function","short":"log"}},"key":"log","names":["log"]},{"category":"Elementary","mappings":{"default":{"default":"natural logarithm","alternative":"natural logarithm function","short":"natural log"},"mathspeak":{"default":"ln"}},"key":"ln","names":["ln"]},{"category":"Elementary","mappings":{"default":{"default":"logarithm base 10","short":"log base 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"exponential","alternative":"exponential function","short":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"greatest common divisor","short":"gcd"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"least common multiple","short":"lcm"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"argument","short":"arg"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"imaginary part","short":"imaginary"},"mathspeak":{"default":"im"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"real part","short":"real"},"mathspeak":{"default":"re"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"infimum","short":"inf"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"limit","short":"lim"},"mathspeak":{"default":"limit"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"infimum default","alternative":"inferior limit","short":"liminf"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"supremum limit","alternative":"superior limit","short":"limsup"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"maximum","short":"max"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"minimum","short":"min"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"supremum","short":"sup"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"injective limit","alternative":"direct limit","short":"colimit"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projective limit","alternative":"inverse limit","short":"limit"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"modulo","short":"mod"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"probability"}},"key":"Pr","names":["Pr"]}]
diff --git a/extensions/a11y/mathmaps/en/functions/hyperbolic.js b/extensions/a11y/mathmaps/en/functions/hyperbolic.js
deleted file mode 100644
index cd9f3d36c4..0000000000
--- a/extensions/a11y/mathmaps/en/functions/hyperbolic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosine function","short":"hyperbolic cosine"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cotangent function","short":"hyperbolic cotangent"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosecant function","short":"hyperbolic cosecant"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic secant function","short":"hyperbolic secant"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic sine function","short":"hyperbolic sine"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic tangent function","short":"hyperbolic tangent"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cosine function","alternative":"area hyperbolic cosine function","short":"area hyperbolic cosine"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cotangent function","alternative":"area hyperbolic cotangent function","short":"area hyperbolic cotangent"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cosecant function","alternative":"area hyperbolic cosecant function","short":"area hyperbolic cosecant"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic secant function","alternative":"area hyperbolic secant function","short":"area hyperbolic secant"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic sine function","alternative":"area hyperbolic sine function","short":"area hyperbolic sine"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic tangent function","alternative":"area hyperbolic tangent function","short":"area hyperbolic tangent"}},"key":"artanh","names":["artanh","arctanh"]}]
diff --git a/extensions/a11y/mathmaps/en/functions/trigonometry.js b/extensions/a11y/mathmaps/en/functions/trigonometry.js
deleted file mode 100644
index be6b3dd9c4..0000000000
--- a/extensions/a11y/mathmaps/en/functions/trigonometry.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Trigonometric","mappings":{"default":{"default":"cosine function","short":"cosine"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"cotangent function","short":"cotangent"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"cosecant function","short":"cosecant"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"secant function","short":"secant"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"sine function","alternative":"sine function","short":"sine"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"tangent function","short":"tangent"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cosine function","alternative":"arc cosine function","short":"arc cosine"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cotangent function","alternative":"arc cotangent function","short":"arc cotangent"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cosecant function","alternative":"arc cosecant function","short":"arc cosecant"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse secant function","alternative":"arc secant function","short":"arc secant"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse sine function","alternative":"arc sine function","short":"arc sine"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse tangent function","alternative":"arc tangent function","short":"arc tangent"}},"key":"arctan","names":["arctan"]}]
diff --git a/extensions/a11y/mathmaps/en/symbols/greek-capital.js b/extensions/a11y/mathmaps/en/symbols/greek-capital.js
deleted file mode 100644
index d85e8630a8..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/greek-capital.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","key":"0391","mappings":{"default":{"default":"greek capital letter alpha","short":"cap alpha"},"mathspeak":{"default":"upper Alpha"}}},{"category":"Lu","key":"0392","mappings":{"default":{"default":"greek capital letter beta","short":"cap beta"},"mathspeak":{"default":"upper Beta"}}},{"category":"Lu","key":"0393","mappings":{"default":{"default":"greek capital letter gamma","short":"cap gamma"},"mathspeak":{"default":"upper Gamma"}}},{"category":"Lu","key":"0394","mappings":{"default":{"default":"greek capital letter delta","short":"cap delta"},"mathspeak":{"default":"upper Delta"}}},{"category":"Lu","key":"0395","mappings":{"default":{"default":"greek capital letter epsilon","short":"cap epsilon"},"mathspeak":{"default":"upper Epsilon"}}},{"category":"Lu","key":"0396","mappings":{"default":{"default":"greek capital letter zeta","short":"cap zeta"},"mathspeak":{"default":"upper Zeta"}}},{"category":"Lu","key":"0397","mappings":{"default":{"default":"greek capital letter eta","short":"cap eta"},"mathspeak":{"default":"upper Eta"}}},{"category":"Lu","key":"0398","mappings":{"default":{"default":"greek capital letter theta","short":"cap theta"},"mathspeak":{"default":"upper Theta"}}},{"category":"Lu","key":"0399","mappings":{"default":{"default":"greek capital letter iota","short":"cap iota"},"mathspeak":{"default":"upper Iota"}}},{"category":"Lu","key":"039A","mappings":{"default":{"default":"greek capital letter kappa","short":"cap kappa"},"mathspeak":{"default":"upper Kappa"}}},{"category":"Lu","key":"039B","mappings":{"default":{"default":"greek capital letter lamda","alternative":"greek capital letter lambda","short":"cap lamda"},"mathspeak":{"default":"upper Lamda"}}},{"category":"Lu","key":"039C","mappings":{"default":{"default":"greek capital letter mu","short":"cap mu"},"mathspeak":{"default":"upper Mu"}}},{"category":"Lu","key":"039D","mappings":{"default":{"default":"greek capital letter nu","short":"cap nu"},"mathspeak":{"default":"upper Nu"}}},{"category":"Lu","key":"039E","mappings":{"default":{"default":"greek capital letter xi","short":"cap xi"},"mathspeak":{"default":"upper Xi"}}},{"category":"Lu","key":"039F","mappings":{"default":{"default":"greek capital letter omicron","short":"cap omicron"},"mathspeak":{"default":"upper Omicron"}}},{"category":"Lu","key":"03A0","mappings":{"default":{"default":"greek capital letter pi","short":"cap pi"},"mathspeak":{"default":"upper Pi"}}},{"category":"Lu","key":"03A1","mappings":{"default":{"default":"greek capital letter rho","short":"cap rho"},"mathspeak":{"default":"upper Rho"}}},{"category":"Lu","key":"03A3","mappings":{"default":{"default":"greek capital letter sigma","short":"cap sigma"},"mathspeak":{"default":"upper Sigma"}}},{"category":"Lu","key":"03A4","mappings":{"default":{"default":"greek capital letter tau","short":"cap tau"},"mathspeak":{"default":"upper Tau"}}},{"category":"Lu","key":"03A5","mappings":{"default":{"default":"greek capital letter upsilon","short":"cap upsilon"},"mathspeak":{"default":"upper Upsilon"}}},{"category":"Lu","key":"03A6","mappings":{"default":{"default":"greek capital letter phi","short":"cap phi"},"mathspeak":{"default":"upper Phi"}}},{"category":"Lu","key":"03A7","mappings":{"default":{"default":"greek capital letter chi","short":"cap chi"},"mathspeak":{"default":"upper Chi"}}},{"category":"Lu","key":"03A8","mappings":{"default":{"default":"greek capital letter psi","short":"cap psi"},"mathspeak":{"default":"upper Psi"}}},{"category":"Lu","key":"03A9","mappings":{"default":{"default":"greek capital letter omega","short":"cap omega"},"mathspeak":{"default":"upper Omega"}}}]
diff --git a/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-bold.js b/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-bold.js
deleted file mode 100644
index 8dd48e1ec9..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital alpha","alternative":"bold capital alpha","short":"bold cap alpha"},"mathspeak":{"default":"bold upper Alpha"}},"key":"1D6A8"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital beta","alternative":"bold capital beta","short":"bold cap beta"},"mathspeak":{"default":"bold upper Beta"}},"key":"1D6A9"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital gamma","alternative":"bold capital gamma","short":"bold cap gamma"},"mathspeak":{"default":"bold upper Gamma"}},"key":"1D6AA"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital delta","alternative":"bold capital delta","short":"bold cap delta"},"mathspeak":{"default":"bold upper Delta"}},"key":"1D6AB"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital epsilon","alternative":"bold capital epsilon","short":"bold cap epsilon"},"mathspeak":{"default":"bold upper Epsilon"}},"key":"1D6AC"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital zeta","alternative":"bold capital zeta","short":"bold cap zeta"},"mathspeak":{"default":"bold upper Zeta"}},"key":"1D6AD"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital eta","alternative":"bold capital eta","short":"bold cap eta"},"mathspeak":{"default":"bold upper Eta"}},"key":"1D6AE"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital theta","alternative":"bold capital theta","short":"bold cap theta"},"mathspeak":{"default":"bold upper Theta"}},"key":"1D6AF"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital iota","alternative":"bold capital iota","short":"bold cap iota"},"mathspeak":{"default":"bold upper Iota"}},"key":"1D6B0"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital kappa","alternative":"bold capital kappa","short":"bold cap kappa"},"mathspeak":{"default":"bold upper Kappa"}},"key":"1D6B1"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital lamda","alternative":"bold capital lamda","short":"bold cap lamda"},"mathspeak":{"default":"bold upper Lamda"}},"key":"1D6B2"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital mu","alternative":"bold capital mu","short":"bold cap mu"},"mathspeak":{"default":"bold upper Mu"}},"key":"1D6B3"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital nu","alternative":"bold capital nu","short":"bold cap nu"},"mathspeak":{"default":"bold upper Nu"}},"key":"1D6B4"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital xi","alternative":"bold capital xi","short":"bold cap xi"},"mathspeak":{"default":"bold upper Xi"}},"key":"1D6B5"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital omicron","alternative":"bold capital omicron","short":"bold cap omicron"},"mathspeak":{"default":"bold upper Omicron"}},"key":"1D6B6"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital pi","alternative":"bold capital pi","short":"bold cap pi"},"mathspeak":{"default":"bold upper Pi"}},"key":"1D6B7"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital rho","alternative":"bold capital rho","short":"bold cap rho"},"mathspeak":{"default":"bold upper Rho"}},"key":"1D6B8"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital sigma","alternative":"bold capital sigma","short":"bold cap sigma"},"mathspeak":{"default":"bold upper Sigma"}},"key":"1D6BA"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital tau","alternative":"bold capital tau","short":"bold cap tau"},"mathspeak":{"default":"bold upper Tau"}},"key":"1D6BB"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital upsilon","alternative":"bold capital upsilon","short":"bold cap upsilon"},"mathspeak":{"default":"bold upper Upsilon"}},"key":"1D6BC"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital phi","alternative":"bold capital phi","short":"bold cap phi"},"mathspeak":{"default":"bold upper Phi"}},"key":"1D6BD"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital chi","alternative":"bold capital chi","short":"bold cap chi"},"mathspeak":{"default":"bold upper Chi"}},"key":"1D6BE"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital psi","alternative":"bold capital psi","short":"bold cap psi"},"mathspeak":{"default":"bold upper Psi"}},"key":"1D6BF"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital omega","alternative":"bold capital omega","short":"bold cap omega"},"mathspeak":{"default":"bold upper Omega"}},"key":"1D6C0"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small alpha","alternative":"bold small alpha","short":"bold alpha"}},"key":"1D6C2"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small beta","alternative":"bold small beta","short":"bold beta"}},"key":"1D6C3"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small gamma","alternative":"bold small gamma","short":"bold gamma"}},"key":"1D6C4"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small delta","alternative":"bold small delta","short":"bold delta"}},"key":"1D6C5"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small epsilon","alternative":"bold small epsilon","short":"bold epsilon"}},"key":"1D6C6"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small zeta","alternative":"bold small zeta","short":"bold zeta"}},"key":"1D6C7"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small eta","alternative":"bold small eta","short":"bold eta"}},"key":"1D6C8"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small theta","alternative":"bold small theta","short":"bold theta"}},"key":"1D6C9"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small iota","alternative":"bold small iota","short":"bold iota"}},"key":"1D6CA"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small kappa","alternative":"bold small kappa","short":"bold kappa"}},"key":"1D6CB"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small lamda","alternative":"bold small lamda","short":"bold lamda"}},"key":"1D6CC"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small mu","alternative":"bold small mu","short":"bold mu"}},"key":"1D6CD"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small nu","alternative":"bold small nu","short":"bold nu"}},"key":"1D6CE"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small xi","alternative":"bold small xi","short":"bold xi"}},"key":"1D6CF"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small omicron","alternative":"bold small omicron","short":"bold omicron"}},"key":"1D6D0"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small pi","alternative":"bold small pi","short":"bold pi"}},"key":"1D6D1"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small rho","alternative":"bold small rho","short":"bold rho"}},"key":"1D6D2"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small final sigma","alternative":"bold small final sigma","short":"bold final sigma"}},"key":"1D6D3"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small sigma","alternative":"bold small sigma","short":"bold sigma"}},"key":"1D6D4"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small tau","alternative":"bold small tau","short":"bold tau"}},"key":"1D6D5"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small upsilon","alternative":"bold small upsilon","short":"bold upsilon"}},"key":"1D6D6"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small phi","alternative":"bold small phi","short":"bold phi"}},"key":"1D6D7"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small chi","alternative":"bold small chi","short":"bold chi"}},"key":"1D6D8"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small psi","alternative":"bold small psi","short":"bold psi"}},"key":"1D6D9"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small omega","alternative":"bold small omega","short":"bold omega"}},"key":"1D6DA"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-italic.js b/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-italic.js
deleted file mode 100644
index 6bbe64454b..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-italic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital alpha","alternative":"italic capital alpha","short":"italic cap alpha"},"mathspeak":{"default":"italic upper Alpha"}},"key":"1D6E2"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital beta","alternative":"italic capital beta","short":"italic cap beta"},"mathspeak":{"default":"italic upper Beta"}},"key":"1D6E3"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital gamma","alternative":"italic capital gamma","short":"italic cap gamma"},"mathspeak":{"default":"italic upper Gamma"}},"key":"1D6E4"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital delta","alternative":"italic capital delta","short":"italic cap delta"},"mathspeak":{"default":"italic upper Delta"}},"key":"1D6E5"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital epsilon","alternative":"italic capital epsilon","short":"italic cap epsilon"},"mathspeak":{"default":"italic upper Epsilon"}},"key":"1D6E6"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital zeta","alternative":"italic capital zeta","short":"italic cap zeta"},"mathspeak":{"default":"italic upper Zeta"}},"key":"1D6E7"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital eta","alternative":"italic capital eta","short":"italic cap eta"},"mathspeak":{"default":"italic upper Eta"}},"key":"1D6E8"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital theta","alternative":"italic capital theta","short":"italic cap theta"},"mathspeak":{"default":"italic upper Theta"}},"key":"1D6E9"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital iota","alternative":"italic capital iota","short":"italic cap iota"},"mathspeak":{"default":"italic upper Iota"}},"key":"1D6EA"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital kappa","alternative":"italic capital kappa","short":"italic cap kappa"},"mathspeak":{"default":"italic upper Kappa"}},"key":"1D6EB"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital lamda","alternative":"italic capital lamda","short":"italic cap lamda"},"mathspeak":{"default":"italic upper Lamda"}},"key":"1D6EC"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital mu","alternative":"italic capital mu","short":"italic cap mu"},"mathspeak":{"default":"italic upper Mu"}},"key":"1D6ED"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital nu","alternative":"italic capital nu","short":"italic cap nu"},"mathspeak":{"default":"italic upper Nu"}},"key":"1D6EE"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital xi","alternative":"italic capital xi","short":"italic cap xi"},"mathspeak":{"default":"italic upper Xi"}},"key":"1D6EF"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital omicron","alternative":"italic capital omicron","short":"italic cap omicron"},"mathspeak":{"default":"italic upper Omicron"}},"key":"1D6F0"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital pi","alternative":"italic capital pi","short":"italic cap pi"},"mathspeak":{"default":"italic upper Pi"}},"key":"1D6F1"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital rho","alternative":"italic capital rho","short":"italic cap rho"},"mathspeak":{"default":"italic upper Rho"}},"key":"1D6F2"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital sigma","alternative":"italic capital sigma","short":"italic cap sigma"},"mathspeak":{"default":"italic upper Sigma"}},"key":"1D6F4"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital tau","alternative":"italic capital tau","short":"italic cap tau"},"mathspeak":{"default":"italic upper Tau"}},"key":"1D6F5"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital upsilon","alternative":"italic capital upsilon","short":"italic cap upsilon"},"mathspeak":{"default":"italic upper Upsilon"}},"key":"1D6F6"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital phi","alternative":"italic capital phi","short":"italic cap phi"},"mathspeak":{"default":"italic upper Phi"}},"key":"1D6F7"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital chi","alternative":"italic capital chi","short":"italic cap chi"},"mathspeak":{"default":"italic upper Chi"}},"key":"1D6F8"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital psi","alternative":"italic capital psi","short":"italic cap psi"},"mathspeak":{"default":"italic upper Psi"}},"key":"1D6F9"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital omega","alternative":"italic capital omega","short":"italic cap omega"},"mathspeak":{"default":"italic upper Omega"}},"key":"1D6FA"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small alpha","alternative":"italic small alpha","short":"italic alpha"}},"key":"1D6FC"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small beta","alternative":"italic small beta","short":"italic beta"}},"key":"1D6FD"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small gamma","alternative":"italic small gamma","short":"italic gamma"}},"key":"1D6FE"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small delta","alternative":"italic small delta","short":"italic delta"}},"key":"1D6FF"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small epsilon","alternative":"italic small epsilon","short":"italic epsilon"}},"key":"1D700"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small zeta","alternative":"italic small zeta","short":"italic zeta"}},"key":"1D701"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small eta","alternative":"italic small eta","short":"italic eta"}},"key":"1D702"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small theta","alternative":"italic small theta","short":"italic theta"}},"key":"1D703"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small iota","alternative":"italic small iota","short":"italic iota"}},"key":"1D704"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small kappa","alternative":"italic small kappa","short":"italic kappa"}},"key":"1D705"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small lamda","alternative":"italic small lamda","short":"italic lamda"}},"key":"1D706"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small mu","alternative":"italic small mu","short":"italic mu"}},"key":"1D707"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small nu","alternative":"italic small nu","short":"italic nu"}},"key":"1D708"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small xi","alternative":"italic small xi","short":"italic xi"}},"key":"1D709"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small omicron","alternative":"italic small omicron","short":"italic omicron"}},"key":"1D70A"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small pi","alternative":"italic small pi","short":"italic pi"}},"key":"1D70B"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small rho","alternative":"italic small rho","short":"italic rho"}},"key":"1D70C"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small final sigma","alternative":"italic small final sigma","short":"italic final sigma"}},"key":"1D70D"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small sigma","alternative":"italic small sigma","short":"italic sigma"}},"key":"1D70E"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small tau","alternative":"italic small tau","short":"italic tau"}},"key":"1D70F"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small upsilon","alternative":"italic small upsilon","short":"italic upsilon"}},"key":"1D710"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small phi","alternative":"italic small phi","short":"italic phi"}},"key":"1D711"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small chi","alternative":"italic small chi","short":"italic chi"}},"key":"1D712"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small psi","alternative":"italic small psi","short":"italic psi"}},"key":"1D713"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small omega","alternative":"italic small omega","short":"italic omega"}},"key":"1D714"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-sans-serif-bold.js b/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-sans-serif-bold.js
deleted file mode 100644
index aeca8bf0d0..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-sans-serif-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital alpha","alternative":"sans serif bold capital alpha","short":"sans serif bold cap alpha"},"mathspeak":{"default":"sans serif bold upper Alpha"}},"key":"1D756"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital beta","alternative":"sans serif bold capital beta","short":"sans serif bold cap beta"},"mathspeak":{"default":"sans serif bold upper Beta"}},"key":"1D757"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital gamma","alternative":"sans serif bold capital gamma","short":"sans serif bold cap gamma"},"mathspeak":{"default":"sans serif bold upper Gamma"}},"key":"1D758"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital delta","alternative":"sans serif bold capital delta","short":"sans serif bold cap delta"},"mathspeak":{"default":"sans serif bold upper Delta"}},"key":"1D759"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital epsilon","alternative":"sans serif bold capital epsilon","short":"sans serif bold cap epsilon"},"mathspeak":{"default":"sans serif bold upper Epsilon"}},"key":"1D75A"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital zeta","alternative":"sans serif bold capital zeta","short":"sans serif bold cap zeta"},"mathspeak":{"default":"sans serif bold upper Zeta"}},"key":"1D75B"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital eta","alternative":"sans serif bold capital eta","short":"sans serif bold cap eta"},"mathspeak":{"default":"sans serif bold upper Eta"}},"key":"1D75C"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital theta","alternative":"sans serif bold capital theta","short":"sans serif bold cap theta"},"mathspeak":{"default":"sans serif bold upper Theta"}},"key":"1D75D"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital iota","alternative":"sans serif bold capital iota","short":"sans serif bold cap iota"},"mathspeak":{"default":"sans serif bold upper Iota"}},"key":"1D75E"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital kappa","alternative":"sans serif bold capital kappa","short":"sans serif bold cap kappa"},"mathspeak":{"default":"sans serif bold upper Kappa"}},"key":"1D75F"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital lamda","alternative":"sans serif bold capital lamda","short":"sans serif bold cap lamda"},"mathspeak":{"default":"sans serif bold upper Lamda"}},"key":"1D760"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital mu","alternative":"sans serif bold capital mu","short":"sans serif bold cap mu"},"mathspeak":{"default":"sans serif bold upper Mu"}},"key":"1D761"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital nu","alternative":"sans serif bold capital nu","short":"sans serif bold cap nu"},"mathspeak":{"default":"sans serif bold upper Nu"}},"key":"1D762"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital xi","alternative":"sans serif bold capital xi","short":"sans serif bold cap xi"},"mathspeak":{"default":"sans serif bold upper Xi"}},"key":"1D763"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital omicron","alternative":"sans serif bold capital omicron","short":"sans serif bold cap omicron"},"mathspeak":{"default":"sans serif bold upper Omicron"}},"key":"1D764"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital pi","alternative":"sans serif bold capital pi","short":"sans serif bold cap pi"},"mathspeak":{"default":"sans serif bold upper Pi"}},"key":"1D765"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital rho","alternative":"sans serif bold capital rho","short":"sans serif bold cap rho"},"mathspeak":{"default":"sans serif bold upper Rho"}},"key":"1D766"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital sigma","alternative":"sans serif bold capital sigma","short":"sans serif bold cap sigma"},"mathspeak":{"default":"sans serif bold upper Sigma"}},"key":"1D768"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital tau","alternative":"sans serif bold capital tau","short":"sans serif bold cap tau"},"mathspeak":{"default":"sans serif bold upper Tau"}},"key":"1D769"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital upsilon","alternative":"sans serif bold capital upsilon","short":"sans serif bold cap upsilon"},"mathspeak":{"default":"sans serif bold upper Upsilon"}},"key":"1D76A"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital phi","alternative":"sans serif bold capital phi","short":"sans serif bold cap phi"},"mathspeak":{"default":"sans serif bold upper Phi"}},"key":"1D76B"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital chi","alternative":"sans serif bold capital chi","short":"sans serif bold cap chi"},"mathspeak":{"default":"sans serif bold upper Chi"}},"key":"1D76C"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital psi","alternative":"sans serif bold capital psi","short":"sans serif bold cap psi"},"mathspeak":{"default":"sans serif bold upper Psi"}},"key":"1D76D"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital omega","alternative":"sans serif bold capital omega","short":"sans serif bold cap omega"},"mathspeak":{"default":"sans serif bold upper Omega"}},"key":"1D76E"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small alpha","alternative":"sans serif bold small alpha","short":"sans serif bold alpha"}},"key":"1D770"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small beta","alternative":"sans serif bold small beta","short":"sans serif bold beta"}},"key":"1D771"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small gamma","alternative":"sans serif bold small gamma","short":"sans serif bold gamma"}},"key":"1D772"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small delta","alternative":"sans serif bold small delta","short":"sans serif bold delta"}},"key":"1D773"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small epsilon","alternative":"sans serif bold small epsilon","short":"sans serif bold epsilon"}},"key":"1D774"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small zeta","alternative":"sans serif bold small zeta","short":"sans serif bold zeta"}},"key":"1D775"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small eta","alternative":"sans serif bold small eta","short":"sans serif bold eta"}},"key":"1D776"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small theta","alternative":"sans serif bold small theta","short":"sans serif bold theta"}},"key":"1D777"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small iota","alternative":"sans serif bold small iota","short":"sans serif bold iota"}},"key":"1D778"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small kappa","alternative":"sans serif bold small kappa","short":"sans serif bold kappa"}},"key":"1D779"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small lamda","alternative":"sans serif bold small lamda","short":"sans serif bold lamda"}},"key":"1D77A"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small mu","alternative":"sans serif bold small mu","short":"sans serif bold mu"}},"key":"1D77B"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small nu","alternative":"sans serif bold small nu","short":"sans serif bold nu"}},"key":"1D77C"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small xi","alternative":"sans serif bold small xi","short":"sans serif bold xi"}},"key":"1D77D"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small omicron","alternative":"sans serif bold small omicron","short":"sans serif bold omicron"}},"key":"1D77E"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small pi","alternative":"sans serif bold small pi","short":"sans serif bold pi"}},"key":"1D77F"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small rho","alternative":"sans serif bold small rho","short":"sans serif bold rho"}},"key":"1D780"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small final sigma","alternative":"sans serif bold small final sigma","short":"sans serif bold final sigma"}},"key":"1D781"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small sigma","alternative":"sans serif bold small sigma","short":"sans serif bold sigma"}},"key":"1D782"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small tau","alternative":"sans serif bold small tau","short":"sans serif bold tau"}},"key":"1D783"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small upsilon","alternative":"sans serif bold small upsilon","short":"sans serif bold upsilon"}},"key":"1D784"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small phi","alternative":"sans serif bold small phi","short":"sans serif bold phi"}},"key":"1D785"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small chi","alternative":"sans serif bold small chi","short":"sans serif bold chi"}},"key":"1D786"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small psi","alternative":"sans serif bold small psi","short":"sans serif bold psi"}},"key":"1D787"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small omega","alternative":"sans serif bold small omega","short":"sans serif bold omega"}},"key":"1D788"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/greek-scripts.js b/extensions/a11y/mathmaps/en/symbols/greek-scripts.js
deleted file mode 100644
index e702297929..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/greek-scripts.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"greek letter small capital gamma","alternative":"greek letter gamma","short":"small cap gamma"},"mathspeak":{"default":"small upper Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"greek letter small capital lamda","alternative":"greek letter lamda","short":"small cap lamda"},"mathspeak":{"default":"small upper Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"greek letter small capital pi","alternative":"greek letter pi","short":"small cap pi"},"mathspeak":{"default":"small upper Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"greek letter small capital rho","alternative":"greek letter rho","short":"small cap rho"},"mathspeak":{"default":"small upper Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"greek letter small capital psi","alternative":"greek letter psi","short":"small cap psi"},"mathspeak":{"default":"small upper Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"modifier letter small greek gamma","alternative":"greek letter superscript gamma","short":"superscript gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"modifier letter small greek phi","alternative":"greek letter superscript phi","short":"superscript phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"greek subscript small letter beta","short":"subscript beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"greek subscript small letter gamma","alternative":"greek letter gamma","short":"subscript gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"greek subscript small letter rho","alternative":"greek letter rho","short":"subscript rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"greek subscript small letter phi","alternative":"greek letter phi","short":"subscript phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"greek subscript small letter chi","alternative":"greek letter chi","short":"subscript chi"}}}]
diff --git a/extensions/a11y/mathmaps/en/symbols/greek-small.js b/extensions/a11y/mathmaps/en/symbols/greek-small.js
deleted file mode 100644
index 758435380a..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/greek-small.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","key":"03B1","mappings":{"default":{"default":"greek small letter alpha","short":"alpha"}}},{"category":"Ll","key":"03B2","mappings":{"default":{"default":"greek small letter beta","short":"beta"}}},{"category":"Ll","key":"03B3","mappings":{"default":{"default":"greek small letter gamma","short":"gamma"}}},{"category":"Ll","key":"03B4","mappings":{"default":{"default":"greek small letter delta","short":"delta"}}},{"category":"Ll","key":"03B5","mappings":{"default":{"default":"greek small letter epsilon","short":"epsilon"}}},{"category":"Ll","key":"03B6","mappings":{"default":{"default":"greek small letter zeta","short":"zeta"}}},{"category":"Ll","key":"03B7","mappings":{"default":{"default":"greek small letter eta","short":"eta"}}},{"category":"Ll","key":"03B8","mappings":{"default":{"default":"greek small letter theta","short":"theta"}}},{"category":"Ll","key":"03B9","mappings":{"default":{"default":"greek small letter iota","short":"iota"}}},{"category":"Ll","key":"03BA","mappings":{"default":{"default":"greek small letter kappa","short":"kappa"}}},{"category":"Ll","key":"03BB","mappings":{"default":{"default":"greek small letter lamda","alternative":"greek small letter lambda","short":"lamda"}}},{"category":"Ll","key":"03BC","mappings":{"default":{"default":"greek small letter mu","short":"mu"}}},{"category":"Ll","key":"03BD","mappings":{"default":{"default":"greek small letter nu","short":"nu"}}},{"category":"Ll","key":"03BE","mappings":{"default":{"default":"greek small letter xi","short":"xi"}}},{"category":"Ll","key":"03BF","mappings":{"default":{"default":"greek small letter omicron","short":"omicron"}}},{"category":"Ll","key":"03C0","mappings":{"default":{"default":"greek small letter pi","short":"pi"}}},{"category":"Ll","key":"03C1","mappings":{"default":{"default":"greek small letter rho","short":"rho"}}},{"category":"Ll","key":"03C2","mappings":{"default":{"default":"greek small letter final sigma","short":"final sigma"}}},{"category":"Ll","key":"03C3","mappings":{"default":{"default":"greek small letter sigma","short":"sigma"}}},{"category":"Ll","key":"03C4","mappings":{"default":{"default":"greek small letter tau","short":"tau"}}},{"category":"Ll","key":"03C5","mappings":{"default":{"default":"greek small letter upsilon","short":"upsilon"}}},{"category":"Ll","key":"03C6","mappings":{"default":{"default":"greek small letter phi","short":"phi"}}},{"category":"Ll","key":"03C7","mappings":{"default":{"default":"greek small letter chi","short":"chi"}}},{"category":"Ll","key":"03C8","mappings":{"default":{"default":"greek small letter psi","short":"psi"}}},{"category":"Ll","key":"03C9","mappings":{"default":{"default":"greek small letter omega","short":"omega"}}}]
diff --git a/extensions/a11y/mathmaps/en/symbols/greek-symbols.js b/extensions/a11y/mathmaps/en/symbols/greek-symbols.js
deleted file mode 100644
index 6c1b569e81..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/greek-symbols.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"greek beta symbol","alternative":"greek small letter curled beta","short":"beta"}},"key":"03D0"},{"category":"Ll","mappings":{"default":{"default":"greek theta symbol","alternative":"greek small letter script theta","short":"theta"}},"key":"03D1"},{"category":"Ll","mappings":{"default":{"default":"greek phi symbol","alternative":"greek small letter script phi","short":"phi"}},"key":"03D5"},{"category":"Ll","mappings":{"default":{"default":"greek pi symbol","alternative":"greek small letter omega pi","short":"pi"}},"key":"03D6"},{"category":"Ll","mappings":{"default":{"default":"greek kai symbol","short":"kai"}},"key":"03D7"},{"category":"Ll","mappings":{"default":{"default":"greek kappa symbol","alternative":"greek small letter script kappa","short":"kappa"}},"key":"03F0"},{"category":"Ll","mappings":{"default":{"default":"greek rho symbol","alternative":"greek small letter tailed rho","short":"rho"}},"key":"03F1"},{"category":"Ll","mappings":{"default":{"default":"greek lunate epsilon symbol","short":"epsilon"}},"key":"03F5"},{"category":"Sm","mappings":{"default":{"default":"greek reversed lunate epsilon symbol","short":"reversed epsilon"}},"key":"03F6"},{"category":"Lu","mappings":{"default":{"default":"greek capital theta symbol","short":"cap theta"},"mathspeak":{"default":"upper Theta"}},"key":"03F4"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital theta symbol","alternative":"bold capital theta","short":"bold cap theta"},"mathspeak":{"default":"bold upper Theta"}},"key":"1D6B9"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital theta symbol","alternative":"italic capital theta","short":"italic cap theta"},"mathspeak":{"default":"italic upper Theta"}},"key":"1D6F3"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital theta symbol","alternative":"sans serif bold capital theta","short":"sans serif bold cap theta"},"mathspeak":{"default":"sans serif bold upper Theta"}},"key":"1D767"},{"category":"Sm","mappings":{"default":{"default":"mathematical bold nabla","alternative":"bold nabla"}},"key":"1D6C1"},{"category":"Sm","mappings":{"default":{"default":"mathematical bold partial differential","alternative":"bold partial differential","short":"bold partial differential"}},"key":"1D6DB"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold epsilon symbol","alternative":"bold epsilon","short":"bold epsilon"}},"key":"1D6DC"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold theta symbol","alternative":"bold theta","short":"bold theta"}},"key":"1D6DD"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold kappa symbol","alternative":"bold kappa","short":"bold kappa"}},"key":"1D6DE"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold phi symbol","alternative":"bold phi","short":"bold phi"}},"key":"1D6DF"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold rho symbol","alternative":"bold rho","short":"bold rho"}},"key":"1D6E0"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold pi symbol","alternative":"bold pi","short":"bold pi"}},"key":"1D6E1"},{"category":"Sm","mappings":{"default":{"default":"mathematical italic nabla","alternative":"italic nabla","short":"italic nabla"}},"key":"1D6FB"},{"category":"Sm","mappings":{"default":{"default":"mathematical italic partial differential","alternative":"italic partial differential","short":"italic partial differential"}},"key":"1D715"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic epsilon symbol","alternative":"italic epsilon","short":"italic epsilon"}},"key":"1D716"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic theta symbol","alternative":"italic theta","short":"italic theta"}},"key":"1D717"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic kappa symbol","alternative":"italic kappa","short":"italic kappa"}},"key":"1D718"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic phi symbol","alternative":"italic phi","short":"italic phi"}},"key":"1D719"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic rho symbol","alternative":"italic rho","short":"italic rho"}},"key":"1D71A"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic pi symbol","alternative":"italic pi","short":"italic pi"}},"key":"1D71B"},{"category":"Sm","mappings":{"default":{"default":"mathematical sans serif bold nabla","alternative":"sans serif bold nabla","short":"sans serif bold nabla"}},"key":"1D76F"},{"category":"Sm","mappings":{"default":{"default":"mathematical sans serif bold partial differential","alternative":"sans serif bold partial differential","short":"sans serif bold partial differential"}},"key":"1D789"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold epsilon symbol","alternative":"sans serif bold epsilon","short":"sans serif bold epsilon"}},"key":"1D78A"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold theta symbol","alternative":"sans serif bold theta","short":"sans serif bold theta"}},"key":"1D78B"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold kappa symbol","alternative":"sans serif bold kappa","short":"sans serif bold kappa"}},"key":"1D78C"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold phi symbol","alternative":"sans serif bold phi","short":"sans serif bold phi"}},"key":"1D78D"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold rho symbol","alternative":"sans serif bold rho","short":"sans serif bold rho"}},"key":"1D78E"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold pi symbol","alternative":"sans serif bold pi","short":"sans serif bold pi"}},"key":"1D78F"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital digamma","alternative":"bold capital digamma","short":"bold cap digamma"},"mathspeak":{"default":"bold upper Digamma"}},"key":"1D7CA"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small digamma","alternative":"bold small digamma","short":"bold digamma"}},"key":"1D7CB"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/hebrew_letters.js b/extensions/a11y/mathmaps/en/symbols/hebrew_letters.js
deleted file mode 100644
index 7805a7da72..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/hebrew_letters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lo","mappings":{"default":{"default":"alef symbol","alternative":"first transfinite cardinal","short":"alef"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"bet symbol","alternative":"second transfinite cardinal","short":"bet"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"gimel symbol","alternative":"third transfinite cardinal","short":"gimel"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"dalet symbol","alternative":"fourth transfinite cardinal","short":"dalet"}},"key":"2138"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-lower-double-accent.js b/extensions/a11y/mathmaps/en/symbols/latin-lower-double-accent.js
deleted file mode 100644
index e547c4a6b0..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-lower-double-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"latin small letter u with diaeresis and macron","alternative":"latin small letter u double overdot overbar","short":"u double overdot overbar"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"latin small letter u with diaeresis and acute","alternative":"latin small letter u double overdot acute","short":"u double overdot acute"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"latin small letter u with diaeresis and caron","alternative":"latin small letter u double overdot hacek","short":"u double overdot caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"latin small letter u with diaeresis and grave","alternative":"latin small letter u double overdot grave","short":"u double overdot grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"latin small letter a with diaeresis and macron","alternative":"latin small letter a double overdot overbar","short":"a double overdot overbar"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"latin small letter a with dot above and macron","alternative":"latin small letter a dot overbar","short":"a overdot overbar"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"latin small letter o with ogonek and macron","alternative":"latin small letter o ogonek overbar","short":"o ogonek overbar"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"latin small letter a with ring above and acute","alternative":"latin small letter a ring above acute","short":"a ring above acute"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"latin small letter o with diaeresis and macron","alternative":"latin small letter o double overdot overbar","short":"o double overdot overbar"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"latin small letter o with tilde and macron","alternative":"latin small letter o tilde overbar","short":"o tilde overbar"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"latin small letter o with dot above and macron","alternative":"latin small letter o overdot overbar","short":"o overdot overbar"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"latin small letter c with cedilla and acute","alternative":"latin small letter c cedilla acute","short":"c cedilla acute"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"latin small letter e with macron and grave","alternative":"latin small letter e overbar grave","short":"e overbar grave"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"latin small letter e with macron and acute","alternative":"latin small letter e overbar acute","short":"e overbar acute"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"latin small letter e with cedilla and breve","alternative":"latin small letter e cedilla breve","short":"e cedilla breve"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"latin small letter i with diaeresis and acute","alternative":"latin small letter i double overdot acute","short":"i double overdot acute"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"latin small letter l with dot below and macron","alternative":"latin small letter l underdot overbar","short":"l underdot overbar"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"latin small letter o with tilde and acute","alternative":"latin small letter o tilde acute","short":"o tilde acute"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"latin small letter o with tilde and diaeresis","alternative":"latin small letter o tilde double overdot","short":"o tilde double overdot"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"latin small letter o with macron and grave","alternative":"latin small letter o overbar grave","short":"o overbar grave"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"latin small letter o with macron and acute","alternative":"latin small letter o overbar acute","short":"o overbar acute"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"latin small letter r with dot below and macron","alternative":"latin small letter r underdot overbar","short":"r underdot overbar"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"latin small letter s with acute and dot above","alternative":"latin small letter s acute overdot","short":"s acute overdot"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"latin small letter s with caron and dot above","alternative":"latin small letter s caron overdot","short":"s caron overdot"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"latin small letter s with dot below and dot above","alternative":"latin small letter s underdot overdot","short":"s underdot overdot"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"latin small letter u with tilde and acute","alternative":"latin small letter u tilde acute","short":"u tilde acute"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"latin small letter u with macron and diaeresis","alternative":"latin small letter u overbar double overdot","short":"u overbar double overdot"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"latin small letter a with circumflex and acute","alternative":"latin small letter a hat acute","short":"a hat acute"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"latin small letter a with circumflex and grave","alternative":"latin small letter a hat grave","short":"a hat grave"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"latin small letter a with circumflex and hook above","alternative":"latin small letter a hat hook above","short":"a hat hook above"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"latin small letter a with circumflex and tilde","alternative":"latin small letter a hat tilde","short":"a hat tilde"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"latin small letter a with circumflex and dot below","alternative":"latin small letter a hat underdot","short":"a hat underdot"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"latin small letter a with breve and acute","alternative":"latin small letter a breve acute","short":"a breve acute"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"latin small letter a with breve and grave","alternative":"latin small letter a breve grave","short":"a breve grave"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"latin small letter a with breve and hook above","alternative":"latin small letter a breve hook above","short":"a breve hook above"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"latin small letter a with breve and tilde","alternative":"latin small letter a breve tilde","short":"a breve tilde"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"latin small letter a with breve and dot below","alternative":"latin small letter a breve underdot","short":"a breve underdot"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"latin small letter e with circumflex and acute","alternative":"latin small letter e hat acute","short":"e hat acute"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"latin small letter e with circumflex and grave","alternative":"latin small letter e hat grave","short":"e hat grave"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"latin small letter e with circumflex and hook above","alternative":"latin small letter e hat hook above","short":"e hat hook above"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"latin small letter e with circumflex and tilde","alternative":"latin small letter e hat tilde","short":"e hat tilde"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"latin small letter e with circumflex and dot below","alternative":"latin small letter e hat underdot","short":"e hat underdot"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"latin small letter o with circumflex and acute","alternative":"latin small letter o hat acute","short":"o hat acute"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"latin small letter o with circumflex and grave","alternative":"latin small letter o hat grave","short":"o hat grave"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"latin small letter o with circumflex and hook above","alternative":"latin small letter o hat hook above","short":"o hat hook above"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"latin small letter o with circumflex and tilde","alternative":"latin small letter o hat tilde","short":"o hat tilde"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"latin small letter o with circumflex and dot below","alternative":"latin small letter o hat underdot","short":"o hat underdot"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"latin small letter o with horn and acute","alternative":"latin small letter o acute prime","short":"o acute prime"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"latin small letter o with horn and grave","alternative":"latin small letter o grave prime","short":"o grave prime"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"latin small letter o with horn and hook above","alternative":"latin small letter o hook above prime","short":"o hook above prime"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"latin small letter o with horn and tilde","alternative":"latin small letter o tilde prime","short":"o tilde prime"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"latin small letter o with horn and dot below","alternative":"latin small letter o underdot prime","short":"o underdot prime"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"latin small letter u with horn and acute","alternative":"latin small letter u acute prime","short":"u acute prime"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"latin small letter u with horn and grave","alternative":"latin small letter u grave prime","short":"u grave prime"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"latin small letter u with horn and hook above","alternative":"latin small letter u hook above prime","short":"u hook above prime"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"latin small letter u with horn and tilde","alternative":"latin small letter u tilde prime","short":"u tilde prime"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"latin small letter u with horn and dot below","alternative":"latin small letter u underdot prime","short":"u underdot prime"}}}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-lower-normal.js b/extensions/a11y/mathmaps/en/symbols/latin-lower-normal.js
deleted file mode 100644
index 22eb17334a..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-lower-normal.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","key":"0061","mappings":{"default":{"default":"latin small letter a","short":"a"}}},{"category":"Ll","key":"0062","mappings":{"default":{"default":"latin small letter b","short":"b"}}},{"category":"Ll","key":"0063","mappings":{"default":{"default":"latin small letter c","short":"c"}}},{"category":"Ll","key":"0064","mappings":{"default":{"default":"latin small letter d","short":"d"}}},{"category":"Ll","key":"0065","mappings":{"default":{"default":"latin small letter e","short":"e"}}},{"category":"Ll","key":"0066","mappings":{"default":{"default":"latin small letter f","short":"f"}}},{"category":"Ll","key":"0067","mappings":{"default":{"default":"latin small letter g","short":"g"}}},{"category":"Ll","key":"0068","mappings":{"default":{"default":"latin small letter h","short":"h"}}},{"category":"Ll","key":"0069","mappings":{"default":{"default":"latin small letter i","short":"i"}}},{"category":"Ll","key":"006A","mappings":{"default":{"default":"latin small letter j","short":"j"}}},{"category":"Ll","key":"006B","mappings":{"default":{"default":"latin small letter k","short":"k"}}},{"category":"Ll","key":"006C","mappings":{"default":{"default":"latin small letter l","short":"l"}}},{"category":"Ll","key":"006D","mappings":{"default":{"default":"latin small letter m","short":"m"}}},{"category":"Ll","key":"006E","mappings":{"default":{"default":"latin small letter n","short":"n"}}},{"category":"Ll","key":"006F","mappings":{"default":{"default":"latin small letter o","short":"o"}}},{"category":"Ll","key":"0070","mappings":{"default":{"default":"latin small letter p","short":"p"}}},{"category":"Ll","key":"0071","mappings":{"default":{"default":"latin small letter q","short":"q"}}},{"category":"Ll","key":"0072","mappings":{"default":{"default":"latin small letter r","short":"r"}}},{"category":"Ll","key":"0073","mappings":{"default":{"default":"latin small letter s","short":"s"}}},{"category":"Ll","key":"0074","mappings":{"default":{"default":"latin small letter t","short":"t"}}},{"category":"Ll","key":"0075","mappings":{"default":{"default":"latin small letter u","short":"u"}}},{"category":"Ll","key":"0076","mappings":{"default":{"default":"latin small letter v","short":"v"}}},{"category":"Ll","key":"0077","mappings":{"default":{"default":"latin small letter w","short":"w"}}},{"category":"Ll","key":"0078","mappings":{"default":{"default":"latin small letter x","short":"x"}}},{"category":"Ll","key":"0079","mappings":{"default":{"default":"latin small letter y","short":"y"}}},{"category":"Ll","key":"007A","mappings":{"default":{"default":"latin small letter z","short":"z"}}},{"category":"Ll","key":"FF41","mappings":{"default":{"default":"fullwidth latin small letter a","short":"a"}}},{"category":"Ll","key":"FF42","mappings":{"default":{"default":"fullwidth latin small letter b","short":"b"}}},{"category":"Ll","key":"FF43","mappings":{"default":{"default":"fullwidth latin small letter c","short":"c"}}},{"category":"Ll","key":"FF44","mappings":{"default":{"default":"fullwidth latin small letter d","short":"d"}}},{"category":"Ll","key":"FF45","mappings":{"default":{"default":"fullwidth latin small letter e","short":"e"}}},{"category":"Ll","key":"FF46","mappings":{"default":{"default":"fullwidth latin small letter f","short":"f"}}},{"category":"Ll","key":"FF47","mappings":{"default":{"default":"fullwidth latin small letter g","short":"g"}}},{"category":"Ll","key":"FF48","mappings":{"default":{"default":"fullwidth latin small letter h","short":"h"}}},{"category":"Ll","key":"FF49","mappings":{"default":{"default":"fullwidth latin small letter i","short":"i"}}},{"category":"Ll","key":"FF4A","mappings":{"default":{"default":"fullwidth latin small letter j","short":"j"}}},{"category":"Ll","key":"FF4B","mappings":{"default":{"default":"fullwidth latin small letter k","short":"k"}}},{"category":"Ll","key":"FF4C","mappings":{"default":{"default":"fullwidth latin small letter l","short":"l"}}},{"category":"Ll","key":"FF4D","mappings":{"default":{"default":"fullwidth latin small letter m","short":"m"}}},{"category":"Ll","key":"FF4E","mappings":{"default":{"default":"fullwidth latin small letter n","short":"n"}}},{"category":"Ll","key":"FF4F","mappings":{"default":{"default":"fullwidth latin small letter o","short":"o"}}},{"category":"Ll","key":"FF50","mappings":{"default":{"default":"fullwidth latin small letter p","short":"p"}}},{"category":"Ll","key":"FF51","mappings":{"default":{"default":"fullwidth latin small letter q","short":"q"}}},{"category":"Ll","key":"FF52","mappings":{"default":{"default":"fullwidth latin small letter r","short":"r"}}},{"category":"Ll","key":"FF53","mappings":{"default":{"default":"fullwidth latin small letter s","short":"s"}}},{"category":"Ll","key":"FF54","mappings":{"default":{"default":"fullwidth latin small letter t","short":"t"}}},{"category":"Ll","key":"FF55","mappings":{"default":{"default":"fullwidth latin small letter u","short":"u"}}},{"category":"Ll","key":"FF56","mappings":{"default":{"default":"fullwidth latin small letter v","short":"v"}}},{"category":"Ll","key":"FF57","mappings":{"default":{"default":"fullwidth latin small letter w","short":"w"}}},{"category":"Ll","key":"FF58","mappings":{"default":{"default":"fullwidth latin small letter x","short":"x"}}},{"category":"Ll","key":"FF59","mappings":{"default":{"default":"fullwidth latin small letter y","short":"y"}}},{"category":"Ll","key":"FF5A","mappings":{"default":{"default":"fullwidth latin small letter z","short":"z"}}}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-lower-phonetic.js b/extensions/a11y/mathmaps/en/symbols/latin-lower-phonetic.js
deleted file mode 100644
index 17e8e55b9d..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-lower-phonetic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"latin small letter o with stroke","alternative":"latin small letter o slash","short":"o with stroke"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"latin small letter d with stroke","alternative":"latin small letter d bar","short":"d with stroke"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"latin small letter h with stroke","alternative":"latin small letter h bar","short":"h with stroke"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"latin small letter l with stroke","alternative":"latin small letter l slash","short":"l with stroke"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"latin small letter t with stroke","alternative":"latin small letter t bar","short":"t with stroke"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"latin small letter b with stroke","alternative":"latin small letter b bar","short":"b with stroke"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"latin small letter lambda with stroke","alternative":"latin small letter barred lambda","short":"lambda with stroke"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"latin small letter z with stroke","alternative":"latin small letter z bar","short":"z with stroke"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"latin letter inverted glottal stop with stroke","alternative":"latin letter inverted glottal stop bar","short":"latin letter inverted glottal stop with stroke"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"latin small letter g with stroke","alternative":"latin small letter g bar","short":"g with stroke"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"latin small letter o with stroke and acute","short":"o with stroke and acute"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"latin small letter c with stroke","short":"c with stroke"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"latin small letter e with stroke","short":"e with stroke"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"latin small letter j with stroke","short":"j with stroke"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"latin small letter r with stroke","short":"r with stroke"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"latin small letter y with stroke","short":"y with stroke"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"latin small letter dotless j with stroke","alternative":"latin small letter dotless j bar","short":"dotless j with stroke"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"latin small letter i with stroke","alternative":"latin small letter barred i","short":"i with stroke"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"latin small letter dotless j with stroke and hook","alternative":"latin small letter dotless j bar hook","short":"dotless j with stroke and hook"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"latin letter glottal stop with stroke","alternative":"latin letter glottal stop bar","short":"latin letter glottal stop with stroke"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"latin letter reversed glottal stop with stroke","alternative":"latin letter reversed glottal stop bar","short":"latin letter reversed glottal stop with stroke"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"latin small letter sideways o with stroke","short":"sideways o with stroke"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"latin small letter iota with stroke","short":"iota with stroke"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"latin small letter p with stroke","short":"p with stroke"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"latin small letter upsilon with stroke","short":"upsilon with stroke"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"latin small letter long s with diagonal stroke","short":"long s with diagonal stroke"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"latin small letter long s with high stroke","short":"long s with high stroke"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"latin small letter turned delta","short":"turned delta"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"latin small letter long s with dot above","short":"long s with dot above"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"latin small letter delta","short":"delta"}}},{"category":"Ll","key":"0138","mappings":{"default":{"default":"latin small letter kra","short":"kra"}}},{"category":"Ll","key":"017F","mappings":{"default":{"default":"latin small letter long s","short":"long s"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"latin small letter b with topbar","alternative":"latin small letter b topbar","short":"b with topbar"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"latin small letter tone six","short":"tone six"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"latin small letter c with hook","alternative":"latin small letter c hook","short":"c with hook"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"latin small letter d with topbar","alternative":"latin small letter d topbar","short":"d with topbar"}}},{"category":"Ll","key":"0192","mappings":{"default":{"default":"latin small letter f with hook","alternative":"latin small letter script f","short":"f with hook"}}},{"category":"Ll","key":"0195","mappings":{"default":{"default":"latin small letter hv","alternative":"latin small letter h v","short":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"latin small letter k with hook","alternative":"latin small letter k hook","short":"k with hook"}}},{"category":"Ll","key":"019A","mappings":{"default":{"default":"latin small letter l with bar","alternative":"latin small letter barred l","short":"l with bar"}}},{"category":"Ll","key":"019E","mappings":{"default":{"default":"latin small letter n with long right leg","short":"n with long right leg"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"latin small letter o with horn","alternative":"latin small letter o horn","short":"o with horn"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"latin small letter oi","alternative":"latin small letter o i","short":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"latin small letter p with hook","alternative":"latin small letter p hook","short":"p with hook"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"latin small letter tone two","short":"tone two"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"latin letter reversed esh loop","short":"latin letter reversed esh loop"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"latin small letter t with palatal hook","alternative":"latin small letter t palatal hook","short":"t with palatal hook"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"latin small letter t with hook","alternative":"latin small letter t hook","short":"t with hook"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"latin small letter u with horn","alternative":"latin small letter u horn","short":"u with horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"latin small letter y with hook","alternative":"latin small letter y hook","short":"y with hook"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"latin small letter ezh reversed","alternative":"latin small letter reversed yogh","short":"ezh reversed"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"latin small letter ezh with tail","alternative":"latin small letter yogh with tail","short":"ezh with tail"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"latin small letter tone five","short":"tone five"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"latin letter wynn","short":"latin letter wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"latin small letter dz with caron","alternative":"latin small letter d z hacek","short":"dz with caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"latin small letter lj","alternative":"latin small letter l j","short":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"latin small letter nj","alternative":"latin small letter n j","short":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"latin small letter ae with macron","alternative":"latin small letter a e macron","short":"ae with macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"latin small letter ezh with caron","alternative":"latin small letter yogh hacek","short":"ezh with caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"latin small letter dz","short":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"latin small letter yogh","short":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"latin small letter lezh","alternative":"latin small letter l yogh","short":"lezh"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"latin small letter ezh","alternative":"latin small letter yogh","short":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"latin small letter ezh with curl","alternative":"latin small letter yogh curl","short":"ezh with curl"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"latin small letter dezh digraph","alternative":"latin small letter d yogh","short":"dezh digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"latin small letter turned e","short":"turned e"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"latin small letter ae with acute","short":"ae with acute"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"latin small letter yogh","short":"yogh"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"latin small letter d with curl","short":"d with curl"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"latin small letter ou","short":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"latin small letter z with hook","short":"z with hook"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"latin small letter l with curl","short":"l with curl"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"latin small letter n with curl","short":"n with curl"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"latin small letter t with curl","short":"t with curl"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"latin small letter db digraph","short":"db digraph"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"latin small letter qp digraph","short":"qp digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"latin small letter s with swash tail","short":"s with swash tail"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"latin small letter z with swash tail","short":"z with swash tail"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"latin small letter glottal stop","short":"glottal stop"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"latin small letter q with hook tail","short":"q with hook tail"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"latin small letter turned a","short":"turned a"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"latin small letter alpha","alternative":"latin small letter script a","short":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"latin small letter turned alpha","alternative":"latin small letter turned script a","short":"turned alpha"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"latin small letter b with hook","alternative":"latin small letter b hook","short":"b with hook"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"latin small letter open o","short":"open o"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"latin small letter c with curl","alternative":"latin small letter c curl","short":"c with curl"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"latin small letter d with tail","alternative":"latin small letter d retroflex hook","short":"d with tail"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"latin small letter d with hook","alternative":"latin small letter d hook","short":"d with hook"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"latin small letter reversed e","short":"reversed e"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"latin small letter schwa","short":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"latin small letter schwa with hook","alternative":"latin small letter schwa hook","short":"schwa with hook"}}},{"category":"Ll","key":"025B","mappings":{"default":{"default":"latin small letter open e","alternative":"latin small letter epsilon","short":"open e"}}},{"category":"Ll","key":"025C","mappings":{"default":{"default":"latin small letter reversed open e","alternative":"latin small letter reversed epsilon","short":"reversed open e"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"latin small letter reversed open e with hook","alternative":"latin small letter reversed epsilon hook","short":"reversed open e with hook"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"latin small letter closed reversed open e","alternative":"latin small letter closed reversed epsilon","short":"closed reversed open e"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"latin small letter g with hook","alternative":"latin small letter g hook","short":"g with hook"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"latin small letter script g","short":"script g"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"latin small letter gamma","short":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"latin small letter rams horn","alternative":"latin small letter baby gamma","short":"rams horn"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"latin small letter turned h","short":"turned h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"latin small letter h with hook","alternative":"latin small letter h hook","short":"h with hook"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"latin small letter heng with hook","alternative":"latin small letter heng hook","short":"heng with hook"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"latin small letter iota","short":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"latin small letter l with middle tilde","short":"l with middle tilde"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"latin small letter l with belt","alternative":"latin small letter l belt","short":"l with belt"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"latin small letter l with retroflex hook","alternative":"latin small letter l retroflex hook","short":"l with retroflex hook"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"latin small letter lezh","alternative":"latin small letter l yogh","short":"lezh"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"latin small letter turned m","short":"turned m"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"latin small letter turned m with long leg","short":"turned m with long leg"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"latin small letter m with hook","alternative":"latin small letter m hook","short":"m with hook"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"latin small letter n with left hook","alternative":"latin small letter n hook","short":"n with left hook"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"latin small letter n with retroflex hook","alternative":"latin small letter n retroflex hook","short":"n with retroflex hook"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"latin small letter barred o","short":"barred o"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"latin small letter closed omega","short":"closed omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"latin small letter phi","short":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"latin small letter turned r","short":"turned r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"latin small letter turned r with long leg","short":"turned r with long leg"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"latin small letter turned r with hook","alternative":"latin small letter turned r hook","short":"turned r with hook"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"latin small letter r with long leg","short":"r with long leg"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"latin small letter r with tail","alternative":"latin small letter r hook","short":"r with tail"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"latin small letter r with fishhook","alternative":"latin small letter fishhook r","short":"r with fishhook"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"latin small letter reversed r with fishhook","alternative":"latin small letter reversed fishhook r","short":"reversed r with fishhook"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"latin small letter s with hook","alternative":"latin small letter s hook","short":"s with hook"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"latin small letter esh","short":"esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"latin small letter squat reversed esh","short":"squat reversed esh"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"latin small letter esh with curl","alternative":"latin small letter esh curl","short":"esh with curl"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"latin small letter turned t","short":"turned t"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"latin small letter t with retroflex hook","alternative":"latin small letter t retroflex hook","short":"t with retroflex hook"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"latin small letter u bar","short":"u bar"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"latin small letter upsilon","short":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"latin small letter v with hook","alternative":"latin small letter script v","short":"v with hook"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"latin small letter turned v","short":"turned v"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"latin small letter turned w","short":"turned w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"latin small letter turned y","short":"turned y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"latin small letter z with retroflex hook","alternative":"latin small letter z retroflex hook","short":"z with retroflex hook"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"latin small letter z with curl","alternative":"latin small letter z curl","short":"z with curl"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"latin small letter ezh","alternative":"latin small letter yogh","short":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"latin small letter ezh with curl","alternative":"latin small letter yogh curl","short":"ezh with curl"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"latin letter pharyngeal voiced fricative","alternative":"latin letter reversed glottal stop","short":"latin letter pharyngeal voiced fricative"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"latin letter inverted glottal stop","short":"latin letter inverted glottal stop"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"latin letter stretched c","short":"latin letter stretched c"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"latin letter bilabial click","alternative":"latin letter bullseye","short":"latin letter bilabial click"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"latin small letter closed open e","alternative":"latin small letter closed epsilon","short":"closed open e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"latin small letter turned k","short":"turned k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"latin small letter q with hook","alternative":"latin small letter q hook","short":"q with hook"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"latin small letter dz digraph","alternative":"latin small letter d z","short":"dz digraph"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"latin small letter dezh digraph","alternative":"latin small letter d yogh","short":"dezh digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"latin small letter dz digraph with curl","alternative":"latin small letter d z curl","short":"dz digraph with curl"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"latin small letter ts digraph","alternative":"latin small letter t s","short":"ts digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"latin small letter tesh digraph","alternative":"latin small letter t esh","short":"tesh digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"latin small letter tc digraph with curl","alternative":"latin small letter t c curl","short":"tc digraph with curl"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"latin small letter feng digraph","short":"feng digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"latin small letter ls digraph","short":"ls digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"latin small letter lz digraph","short":"lz digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"latin letter bilabial percussive","short":"latin letter bilabial percussive"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"latin letter bidental percussive","short":"latin letter bidental percussive"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"latin small letter turned h with fishhook","short":"turned h with fishhook"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"latin small letter turned h with fishhook and tail","short":"turned h with fishhook and tail"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"latin small letter turned ae","short":"turned ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"latin small letter turned open e","short":"turned open e"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"latin small letter turned i","short":"turned i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"latin small letter sideways o","short":"sideways o"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"latin small letter sideways open o","short":"sideways open o"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"latin small letter turned oe","short":"turned oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"latin small letter top half o","short":"top half o"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"latin small letter bottom half o","short":"bottom half o"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"latin small letter sideways u","short":"sideways u"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"latin small letter sideways diaeresized u","short":"sideways diaeresized u"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"latin small letter sideways turned m","short":"sideways turned m"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"latin letter voiced laryngeal spirant","short":"latin letter voiced laryngeal spirant"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"latin letter ain","short":"latin letter ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"latin small letter ue","short":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"latin small letter b with middle tilde","short":"b with middle tilde"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"latin small letter d with middle tilde","short":"d with middle tilde"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"latin small letter f with middle tilde","short":"f with middle tilde"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"latin small letter m with middle tilde","short":"m with middle tilde"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"latin small letter n with middle tilde","short":"n with middle tilde"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"latin small letter p with middle tilde","short":"p with middle tilde"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"latin small letter r with middle tilde","short":"r with middle tilde"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"latin small letter r with fishhook and middle tilde","short":"r with fishhook and middle tilde"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"latin small letter s with middle tilde","short":"s with middle tilde"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"latin small letter t with middle tilde","short":"t with middle tilde"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"latin small letter z with middle tilde","short":"z with middle tilde"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"latin small letter turned g","short":"turned g"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"latin small letter insular g","short":"insular g"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"latin small letter th with strikethrough","short":"th with strikethrough"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"latin small letter b with palatal hook","short":"b with palatal hook"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"latin small letter d with palatal hook","short":"d with palatal hook"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"latin small letter f with palatal hook","short":"f with palatal hook"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"latin small letter g with palatal hook","short":"g with palatal hook"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"latin small letter k with palatal hook","short":"k with palatal hook"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"latin small letter l with palatal hook","short":"l with palatal hook"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"latin small letter m with palatal hook","short":"m with palatal hook"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"latin small letter n with palatal hook","short":"n with palatal hook"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"latin small letter p with palatal hook","short":"p with palatal hook"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"latin small letter r with palatal hook","short":"r with palatal hook"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"latin small letter s with palatal hook","short":"s with palatal hook"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"latin small letter esh with palatal hook","short":"esh with palatal hook"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"latin small letter v with palatal hook","short":"v with palatal hook"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"latin small letter x with palatal hook","short":"x with palatal hook"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"latin small letter z with palatal hook","short":"z with palatal hook"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"latin small letter a with retroflex hook","short":"a with retroflex hook"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"latin small letter alpha with retroflex hook","short":"alpha with retroflex hook"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"latin small letter d with hook and tail","short":"d with hook and tail"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"latin small letter e with retroflex hook","short":"e with retroflex hook"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"latin small letter open e with retroflex hook","short":"open e with retroflex hook"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"latin small letter reversed open e with retroflex hook","short":"reversed open e with retroflex hook"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"latin small letter schwa with retroflex hook","short":"schwa with retroflex hook"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"latin small letter i with retroflex hook","short":"i with retroflex hook"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"latin small letter open o with retroflex hook","short":"open o with retroflex hook"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"latin small letter esh with retroflex hook","short":"esh with retroflex hook"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"latin small letter u with retroflex hook","short":"u with retroflex hook"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"latin small letter ezh with retroflex hook","short":"ezh with retroflex hook"}}},{"category":"Ll","key":"0149","mappings":{"default":{"default":"latin small letter n preceded by apostrophe","alternative":"latin small letter apostrophe n","short":"n preceded by apostrophe"}}},{"category":"Ll","key":"014B","mappings":{"default":{"default":"latin small letter eng","short":"eng"}}}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-lower-single-accent.js b/extensions/a11y/mathmaps/en/symbols/latin-lower-single-accent.js
deleted file mode 100644
index 2630b67758..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-lower-single-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","key":"00E0","mappings":{"default":{"default":"latin small letter a with grave","alternative":"latin small letter a grave","short":"a grave"},"mathspeak":{"default":"modifying above a with grave","brief":"mod above a with grave","sbrief":"mod above a with grave"}}},{"category":"Ll","key":"00E1","mappings":{"default":{"default":"latin small letter a with acute","alternative":"latin small letter a acute","short":"a acute"},"mathspeak":{"default":"modifying above a with acute","brief":"mod above a with acute","sbrief":"mod above a with acute"}}},{"category":"Ll","key":"00E2","mappings":{"default":{"default":"latin small letter a with circumflex","alternative":"latin small letter a hat","short":"a hat"},"mathspeak":{"default":"modifying above a with caret","brief":"mod above a with caret","sbrief":"mod above a with caret"}}},{"category":"Ll","key":"00E3","mappings":{"default":{"default":"latin small letter a with tilde","alternative":"latin small letter a tilde","short":"a tilde"},"mathspeak":{"default":"a overtilde","brief":"a overtilde","sbrief":"a overtilde"}}},{"category":"Ll","key":"00E4","mappings":{"default":{"default":"latin small letter a with diaeresis","alternative":"latin small letter a double overdot","short":"a double overdot"},"mathspeak":{"default":"modifying above a with double dot","brief":"mod above a with double dot","sbrief":"mod above a with double dot"}}},{"category":"Ll","key":"00E5","mappings":{"default":{"default":"latin small letter a with ring above","alternative":"latin small letter a ring","short":"a ring"},"mathspeak":{"default":"modifying above a with ring","brief":"mod above a with ring","sbrief":"mod above a with ring"}}},{"category":"Ll","key":"00E7","mappings":{"default":{"default":"latin small letter c with cedilla","alternative":"latin small letter c cedilla","short":"c cedilla"},"mathspeak":{"default":"modifying above c with cedilla","brief":"mod above c with cedilla","sbrief":"mod above c with cedilla"}}},{"category":"Ll","key":"00E8","mappings":{"default":{"default":"latin small letter e with grave","alternative":"latin small letter e grave","short":"e grave"},"mathspeak":{"default":"modifying above e with grave","brief":"mod above e with grave","sbrief":"mod above e with grave"}}},{"category":"Ll","key":"00E9","mappings":{"default":{"default":"latin small letter e with acute","alternative":"latin small letter e acute","short":"e acute"},"mathspeak":{"default":"modifying above e with acute","brief":"mod above e with acute","sbrief":"mod above e with acute"}}},{"category":"Ll","key":"00EA","mappings":{"default":{"default":"latin small letter e with circumflex","alternative":"latin small letter e hat","short":"e hat"},"mathspeak":{"default":"modifying above e with caret","brief":"mod above e with caret","sbrief":"mod above e with caret"}}},{"category":"Ll","key":"00EB","mappings":{"default":{"default":"latin small letter e with diaeresis","alternative":"latin small letter e double overdot","short":"e double overdot"},"mathspeak":{"default":"modifying above e with double dot","brief":"mod above e with double dot","sbrief":"mod above e with double dot"}}},{"category":"Ll","key":"00EC","mappings":{"default":{"default":"latin small letter i with grave","alternative":"latin small letter i grave","short":"i grave"},"mathspeak":{"default":"modifying above i with grave","brief":"mod above i with grave","sbrief":"mod above i with grave"}}},{"category":"Ll","key":"00ED","mappings":{"default":{"default":"latin small letter i with acute","alternative":"latin small letter i acute","short":"i acute"},"mathspeak":{"default":"modifying above i with acute","brief":"mod above i with acute","sbrief":"mod above i with acute"}}},{"category":"Ll","key":"00EE","mappings":{"default":{"default":"latin small letter i with circumflex","alternative":"latin small letter i hat","short":"i hat"},"mathspeak":{"default":"modifying above i with caret","brief":"mod above i with caret","sbrief":"mod above i with caret"}}},{"category":"Ll","key":"00EF","mappings":{"default":{"default":"latin small letter i with diaeresis","alternative":"latin small letter i double overdot","short":"i double overdot"},"mathspeak":{"default":"modifying above i with double dot","brief":"mod above i with double dot","sbrief":"mod above i with double dot"}}},{"category":"Ll","key":"00F1","mappings":{"default":{"default":"latin small letter n with tilde","alternative":"latin small letter n tilde","short":"n tilde"},"mathspeak":{"default":"n overtilde","brief":"n overtilde","sbrief":"n overtilde"}}},{"category":"Ll","key":"00F2","mappings":{"default":{"default":"latin small letter o with grave","alternative":"latin small letter o grave","short":"o grave"},"mathspeak":{"default":"modifying above o with grave","brief":"mod above o with grave","sbrief":"mod above o with grave"}}},{"category":"Ll","key":"00F3","mappings":{"default":{"default":"latin small letter o with acute","alternative":"latin small letter o acute","short":"o acute"},"mathspeak":{"default":"modifying above o with acute","brief":"mod above o with acute","sbrief":"mod above o with acute"}}},{"category":"Ll","key":"00F4","mappings":{"default":{"default":"latin small letter o with circumflex","alternative":"latin small letter o hat","short":"o hat"},"mathspeak":{"default":"modifying above o with caret","brief":"mod above o with caret","sbrief":"mod above o with caret"}}},{"category":"Ll","key":"00F5","mappings":{"default":{"default":"latin small letter o with tilde","alternative":"latin small letter o tilde","short":"o tilde"},"mathspeak":{"default":"o overtilde","brief":"o overtilde","sbrief":"o overtilde"}}},{"category":"Ll","key":"00F6","mappings":{"default":{"default":"latin small letter o with diaeresis","alternative":"latin small letter o double overdot","short":"o double overdot"},"mathspeak":{"default":"modifying above o with double dot","brief":"mod above o with double dot","sbrief":"mod above o with double dot"}}},{"category":"Ll","key":"00F9","mappings":{"default":{"default":"latin small letter u with grave","alternative":"latin small letter u grave","short":"u grave"},"mathspeak":{"default":"modifying above u with grave","brief":"mod above u with grave","sbrief":"mod above u with grave"}}},{"category":"Ll","key":"00FA","mappings":{"default":{"default":"latin small letter u with acute","alternative":"latin small letter u acute","short":"u acute"},"mathspeak":{"default":"modifying above u with acute","brief":"mod above u with acute","sbrief":"mod above u with acute"}}},{"category":"Ll","key":"00FB","mappings":{"default":{"default":"latin small letter u with circumflex","alternative":"latin small letter u hat","short":"u hat"},"mathspeak":{"default":"modifying above u with caret","brief":"mod above u with caret","sbrief":"mod above u with caret"}}},{"category":"Ll","key":"00FC","mappings":{"default":{"default":"latin small letter u with diaeresis","alternative":"latin small letter u double overdot","short":"u double overdot"},"mathspeak":{"default":"modifying above u with double dot","brief":"mod above u with double dot","sbrief":"mod above u with double dot"}}},{"category":"Ll","key":"00FD","mappings":{"default":{"default":"latin small letter y with acute","alternative":"latin small letter y acute","short":"y acute"},"mathspeak":{"default":"modifying above y with acute","brief":"mod above y with acute","sbrief":"mod above y with acute"}}},{"category":"Ll","key":"00FF","mappings":{"default":{"default":"latin small letter y with diaeresis","alternative":"latin small letter y double overdot","short":"y double overdot"},"mathspeak":{"default":"modifying above y with double dot","brief":"mod above y with double dot","sbrief":"mod above y with double dot"}}},{"category":"Ll","key":"0101","mappings":{"default":{"default":"latin small letter a with macron","alternative":"latin small letter a overbar","short":"a overbar"},"mathspeak":{"default":"a overbar","brief":"a overbar","sbrief":"a overbar"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"latin small letter a with breve","alternative":"latin small letter a breve","short":"a breve"},"mathspeak":{"default":"modifying above a with breve","brief":"mod above a with breve","sbrief":"mod above a with breve"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"latin small letter a with ogonek","alternative":"latin small letter a ogonek","short":"a ogonek"},"mathspeak":{"default":"modifying above a with ogonek","brief":"mod above a with ogonek","sbrief":"mod above a with ogonek"}}},{"category":"Ll","key":"0107","mappings":{"default":{"default":"latin small letter c with acute","alternative":"latin small letter c acute","short":"c acute"},"mathspeak":{"default":"modifying above c with acute","brief":"mod above c with acute","sbrief":"mod above c with acute"}}},{"category":"Ll","key":"0109","mappings":{"default":{"default":"latin small letter c with circumflex","alternative":"latin small letter c hat","short":"c hat"},"mathspeak":{"default":"modifying above c with caret","brief":"mod above c with caret","sbrief":"mod above c with caret"}}},{"category":"Ll","key":"010B","mappings":{"default":{"default":"latin small letter c with dot above","alternative":"latin small letter c dot","short":"c overdot"},"mathspeak":{"default":"modifying above c with dot","brief":"mod above c with dot","sbrief":"mod above c with dot"}}},{"category":"Ll","key":"010D","mappings":{"default":{"default":"latin small letter c with caron","alternative":"latin small letter c hacek","short":"c caron"},"mathspeak":{"default":"modifying above c with caron","brief":"mod above c with caron","sbrief":"mod above c with caron"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"latin small letter d with caron","alternative":"latin small letter d hacek","short":"d caron"},"mathspeak":{"default":"modifying above d with caron","brief":"mod above d with caron","sbrief":"mod above d with caron"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"latin small letter e with macron","alternative":"latin small letter e overbar","short":"e overbar"},"mathspeak":{"default":"e overbar","brief":"e overbar","sbrief":"e overbar"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"latin small letter e with breve","alternative":"latin small letter e breve","short":"e breve"},"mathspeak":{"default":"modifying above e with breve","brief":"mod above e with breve","sbrief":"mod above e with breve"}}},{"category":"Ll","key":"0117","mappings":{"default":{"default":"latin small letter e with dot above","alternative":"latin small letter e dot","short":"e overdot"},"mathspeak":{"default":"modifying above e with dot","brief":"mod above e with dot","sbrief":"mod above e with dot"}}},{"category":"Ll","key":"0119","mappings":{"default":{"default":"latin small letter e with ogonek","alternative":"latin small letter e ogonek","short":"e ogonek"},"mathspeak":{"default":"modifying above e with ogonek","brief":"mod above e with ogonek","sbrief":"mod above e with ogonek"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"latin small letter e with caron","alternative":"latin small letter e hacek","short":"e caron"},"mathspeak":{"default":"modifying above e with caron","brief":"mod above e with caron","sbrief":"mod above e with caron"}}},{"category":"Ll","key":"011D","mappings":{"default":{"default":"latin small letter g with circumflex","alternative":"latin small letter g hat","short":"g hat"},"mathspeak":{"default":"modifying above g with caret","brief":"mod above g with caret","sbrief":"mod above g with caret"}}},{"category":"Ll","key":"011F","mappings":{"default":{"default":"latin small letter g with breve","alternative":"latin small letter g breve","short":"g breve"},"mathspeak":{"default":"modifying above g with breve","brief":"mod above g with breve","sbrief":"mod above g with breve"}}},{"category":"Ll","key":"0121","mappings":{"default":{"default":"latin small letter g with dot above","alternative":"latin small letter g dot","short":"g overdot"},"mathspeak":{"default":"modifying above g with dot","brief":"mod above g with dot","sbrief":"mod above g with dot"}}},{"category":"Ll","key":"0123","mappings":{"default":{"default":"latin small letter g with cedilla","alternative":"latin small letter g cedilla","short":"g cedilla"},"mathspeak":{"default":"modifying above g with cedilla","brief":"mod above g with cedilla","sbrief":"mod above g with cedilla"}}},{"category":"Ll","key":"0125","mappings":{"default":{"default":"latin small letter h with circumflex","alternative":"latin small letter h hat","short":"h hat"},"mathspeak":{"default":"modifying above h with caret","brief":"mod above h with caret","sbrief":"mod above h with caret"}}},{"category":"Ll","key":"0129","mappings":{"default":{"default":"latin small letter i with tilde","alternative":"latin small letter i tilde","short":"i tilde"},"mathspeak":{"default":"i overtilde","brief":"i overtilde","sbrief":"i overtilde"}}},{"category":"Ll","key":"012B","mappings":{"default":{"default":"latin small letter i with macron","alternative":"latin small letter i overbar","short":"i overbar"},"mathspeak":{"default":"i overbar","brief":"i overbar","sbrief":"i overbar"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"latin small letter i with breve","alternative":"latin small letter i breve","short":"i breve"},"mathspeak":{"default":"modifying above i with breve","brief":"mod above i with breve","sbrief":"mod above i with breve"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"latin small letter i with ogonek","alternative":"latin small letter i ogonek","short":"i ogonek"},"mathspeak":{"default":"modifying above i with ogonek","brief":"mod above i with ogonek","sbrief":"mod above i with ogonek"}}},{"category":"Ll","key":"0131","mappings":{"default":{"default":"latin small letter dotless i","alternative":"latin small letter dotless i","short":"dotless i"},"mathspeak":{"default":"modifying above d with tless i","brief":"mod above d with tless i","sbrief":"mod above d with tless i"}}},{"category":"Ll","key":"0135","mappings":{"default":{"default":"latin small letter j circumflex","alternative":"latin small letter j hat","short":"j hat"},"mathspeak":{"default":"modifying above j with caret","brief":"mod above j with caret","sbrief":"mod above j with caret"}}},{"category":"Ll","key":"0137","mappings":{"default":{"default":"latin small letter k with cedilla","alternative":"latin small letter k cedilla","short":"k cedilla"},"mathspeak":{"default":"modifying above k with cedilla","brief":"mod above k with cedilla","sbrief":"mod above k with cedilla"}}},{"category":"Ll","key":"013A","mappings":{"default":{"default":"latin small letter l with acute","alternative":"latin small letter l acute","short":"l acute"},"mathspeak":{"default":"modifying above l with acute","brief":"mod above l with acute","sbrief":"mod above l with acute"}}},{"category":"Ll","key":"013C","mappings":{"default":{"default":"latin small letter l with cedilla","alternative":"latin small letter l cedilla","short":"l cedilla"},"mathspeak":{"default":"modifying above l with cedilla","brief":"mod above l with cedilla","sbrief":"mod above l with cedilla"}}},{"category":"Ll","key":"013E","mappings":{"default":{"default":"latin small letter l with caron","alternative":"latin small letter l hacek","short":"l caron"},"mathspeak":{"default":"modifying above l with caron","brief":"mod above l with caron","sbrief":"mod above l with caron"}}},{"category":"Ll","key":"0140","mappings":{"default":{"default":"latin small letter l with middle dot","alternative":"latin small letter l middle dot","short":"l middle dot"},"mathspeak":{"default":"modifying above l with middle dot","brief":"mod above l with middle dot","sbrief":"mod above l with middle dot"}}},{"category":"Ll","key":"0144","mappings":{"default":{"default":"latin small letter n with acute","alternative":"latin small letter n acute","short":"n acute"},"mathspeak":{"default":"modifying above n with acute","brief":"mod above n with acute","sbrief":"mod above n with acute"}}},{"category":"Ll","key":"0146","mappings":{"default":{"default":"latin small letter n with cedilla","alternative":"latin small letter n cedilla","short":"n cedilla"},"mathspeak":{"default":"modifying above n with cedilla","brief":"mod above n with cedilla","sbrief":"mod above n with cedilla"}}},{"category":"Ll","key":"0148","mappings":{"default":{"default":"latin small letter n with caron","alternative":"latin small letter n hacek","short":"n caron"},"mathspeak":{"default":"modifying above n with caron","brief":"mod above n with caron","sbrief":"mod above n with caron"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"latin small letter o macron","alternative":"latin small letter o overbar","short":"o overbar"},"mathspeak":{"default":"o overbar","brief":"o overbar","sbrief":"o overbar"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"latin small letter o with breve","alternative":"latin small letter o breve","short":"o breve"},"mathspeak":{"default":"modifying above o with breve","brief":"mod above o with breve","sbrief":"mod above o with breve"}}},{"category":"Ll","key":"0151","mappings":{"default":{"default":"latin small letter o with double acute","alternative":"latin small letter o double acute","short":"o double acute"},"mathspeak":{"default":"modifying above o with double acute","brief":"mod above o with double acute","sbrief":"mod above o with double acute"}}},{"category":"Ll","key":"0155","mappings":{"default":{"default":"latin small letter r with acute","alternative":"latin small letter r acute","short":"r acute"},"mathspeak":{"default":"modifying above r with acute","brief":"mod above r with acute","sbrief":"mod above r with acute"}}},{"category":"Ll","key":"0157","mappings":{"default":{"default":"latin small letter r with cedilla","alternative":"latin small letter r cedilla","short":"r cedilla"},"mathspeak":{"default":"modifying above r with cedilla","brief":"mod above r with cedilla","sbrief":"mod above r with cedilla"}}},{"category":"Ll","key":"0159","mappings":{"default":{"default":"latin small letter r with caron","alternative":"latin small letter r hacek","short":"r caron"},"mathspeak":{"default":"modifying above r with caron","brief":"mod above r with caron","sbrief":"mod above r with caron"}}},{"category":"Ll","key":"015B","mappings":{"default":{"default":"latin small letter s with acute","alternative":"latin small letter s acute","short":"s acute"},"mathspeak":{"default":"modifying above s with acute","brief":"mod above s with acute","sbrief":"mod above s with acute"}}},{"category":"Ll","key":"015D","mappings":{"default":{"default":"latin small letter s with circumflex","alternative":"latin small letter s hat","short":"s hat"},"mathspeak":{"default":"modifying above s with caret","brief":"mod above s with caret","sbrief":"mod above s with caret"}}},{"category":"Ll","key":"015F","mappings":{"default":{"default":"latin small letter s with cedilla","alternative":"latin small letter s cedilla","short":"s cedilla"},"mathspeak":{"default":"modifying above s with cedilla","brief":"mod above s with cedilla","sbrief":"mod above s with cedilla"}}},{"category":"Ll","key":"0161","mappings":{"default":{"default":"latin small letter s with caron","alternative":"latin small letter s hacek","short":"s caron"},"mathspeak":{"default":"modifying above s with caron","brief":"mod above s with caron","sbrief":"mod above s with caron"}}},{"category":"Ll","key":"0163","mappings":{"default":{"default":"latin small letter t with cedilla","alternative":"latin small letter t cedilla","short":"t cedilla"},"mathspeak":{"default":"modifying above t with cedilla","brief":"mod above t with cedilla","sbrief":"mod above t with cedilla"}}},{"category":"Ll","key":"0165","mappings":{"default":{"default":"latin small letter t with caron","alternative":"latin small letter t hacek","short":"t caron"},"mathspeak":{"default":"modifying above t with caron","brief":"mod above t with caron","sbrief":"mod above t with caron"}}},{"category":"Ll","key":"0169","mappings":{"default":{"default":"latin small letter u with tilde","alternative":"latin small letter u tilde","short":"u tilde"},"mathspeak":{"default":"u overtilde","brief":"u overtilde","sbrief":"u overtilde"}}},{"category":"Ll","key":"016B","mappings":{"default":{"default":"latin small letter u with macron","alternative":"latin small letter u overbar","short":"u overbar"},"mathspeak":{"default":"u overbar","brief":"u overbar","sbrief":"u overbar"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"latin small letter u with breve","alternative":"latin small letter u breve","short":"u breve"},"mathspeak":{"default":"modifying above u with breve","brief":"mod above u with breve","sbrief":"mod above u with breve"}}},{"category":"Ll","key":"016F","mappings":{"default":{"default":"latin small letter u with ring above","alternative":"latin small letter u ring","short":"u ring"},"mathspeak":{"default":"modifying above u with ring","brief":"mod above u with ring","sbrief":"mod above u with ring"}}},{"category":"Ll","key":"0171","mappings":{"default":{"default":"latin small letter u with double acute","alternative":"latin small letter u double acute","short":"u double acute"},"mathspeak":{"default":"modifying above u with double acute","brief":"mod above u with double acute","sbrief":"mod above u with double acute"}}},{"category":"Ll","key":"0173","mappings":{"default":{"default":"latin small letter u with ogonek","alternative":"latin small letter u ogonek","short":"u ogonek"},"mathspeak":{"default":"modifying above u with ogonek","brief":"mod above u with ogonek","sbrief":"mod above u with ogonek"}}},{"category":"Ll","key":"0175","mappings":{"default":{"default":"latin small letter w with circumflex","alternative":"latin small letter w hat","short":"w hat"},"mathspeak":{"default":"modifying above w with caret","brief":"mod above w with caret","sbrief":"mod above w with caret"}}},{"category":"Ll","key":"0177","mappings":{"default":{"default":"latin small letter y with circumflex","alternative":"latin small letter y hat","short":"y hat"},"mathspeak":{"default":"modifying above y with caret","brief":"mod above y with caret","sbrief":"mod above y with caret"}}},{"category":"Ll","key":"017A","mappings":{"default":{"default":"latin small letter z with acute","alternative":"latin small letter z acute","short":"z acute"},"mathspeak":{"default":"modifying above z with acute","brief":"mod above z with acute","sbrief":"mod above z with acute"}}},{"category":"Ll","key":"017C","mappings":{"default":{"default":"latin small letter z with dot above","alternative":"latin small letter z dot","short":"z overdot"},"mathspeak":{"default":"modifying above z with dot","brief":"mod above z with dot","sbrief":"mod above z with dot"}}},{"category":"Ll","key":"017E","mappings":{"default":{"default":"latin small letter z with caron","alternative":"latin small letter z hacek","short":"z caron"},"mathspeak":{"default":"modifying above z with caron","brief":"mod above z with caron","sbrief":"mod above z with caron"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"latin small letter a with caron","alternative":"latin small letter a hacek","short":"a caron"},"mathspeak":{"default":"modifying above a with caron","brief":"mod above a with caron","sbrief":"mod above a with caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"latin small letter i with caron","alternative":"latin small letter i hacek","short":"i caron"},"mathspeak":{"default":"modifying above i with caron","brief":"mod above i with caron","sbrief":"mod above i with caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"latin small letter o with caron","alternative":"latin small letter o hacek","short":"o caron"},"mathspeak":{"default":"modifying above o with caron","brief":"mod above o with caron","sbrief":"mod above o with caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"latin small letter u with caron","alternative":"latin small letter u hacek","short":"u caron"},"mathspeak":{"default":"modifying above u with caron","brief":"mod above u with caron","sbrief":"mod above u with caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"latin small letter g with caron","alternative":"latin small letter g hacek","short":"g caron"},"mathspeak":{"default":"modifying above g with caron","brief":"mod above g with caron","sbrief":"mod above g with caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"latin small letter k with caron","alternative":"latin small letter k hacek","short":"k caron"},"mathspeak":{"default":"modifying above k with caron","brief":"mod above k with caron","sbrief":"mod above k with caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"latin small letter o with ogonek","alternative":"latin small letter o ogonek","short":"o ogonek"},"mathspeak":{"default":"modifying above o with ogonek","brief":"mod above o with ogonek","sbrief":"mod above o with ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"latin small letter j with caron","alternative":"latin small letter j hacek","short":"j caron"},"mathspeak":{"default":"modifying above j with caron","brief":"mod above j with caron","sbrief":"mod above j with caron"}}},{"category":"Ll","key":"01F5","mappings":{"default":{"default":"latin small letter g with acute","alternative":"latin small letter g acute","short":"g acute"},"mathspeak":{"default":"modifying above g with acute","brief":"mod above g with acute","sbrief":"mod above g with acute"}}},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"latin small letter n with grave","alternative":"latin small letter n grave","short":"n grave"},"mathspeak":{"default":"modifying above n with grave","brief":"mod above n with grave","sbrief":"mod above n with grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"latin small letter a with double grave","alternative":"latin small letter a double grave","short":"a double grave"},"mathspeak":{"default":"modifying above a with double grave","brief":"mod above a with double grave","sbrief":"mod above a with double grave"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"latin small letter a with inverted breve","alternative":"latin small letter a inverted breve","short":"a inverted breve"},"mathspeak":{"default":"modifying above a with inverted breve","brief":"mod above a with inverted breve","sbrief":"mod above a with inverted breve"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"latin small letter e with double grave","alternative":"latin small letter e double grave","short":"e double grave"},"mathspeak":{"default":"modifying above e with double grave","brief":"mod above e with double grave","sbrief":"mod above e with double grave"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"latin small letter e with inverted breve","alternative":"latin small letter e inverted breve","short":"e inverted breve"},"mathspeak":{"default":"modifying above e with inverted breve","brief":"mod above e with inverted breve","sbrief":"mod above e with inverted breve"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"latin small letter i with double grave","alternative":"latin small letter i double grave","short":"i double grave"},"mathspeak":{"default":"modifying above i with double grave","brief":"mod above i with double grave","sbrief":"mod above i with double grave"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"latin small letter i with inverted breve","alternative":"latin small letter i inverted breve","short":"i inverted breve"},"mathspeak":{"default":"modifying above i with inverted breve","brief":"mod above i with inverted breve","sbrief":"mod above i with inverted breve"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"latin small letter o with double grave","alternative":"latin small letter o double grave","short":"o double grave"},"mathspeak":{"default":"modifying above o with double grave","brief":"mod above o with double grave","sbrief":"mod above o with double grave"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"latin small letter o with inverted breve","alternative":"latin small letter o inverted breve","short":"o inverted breve"},"mathspeak":{"default":"modifying above o with inverted breve","brief":"mod above o with inverted breve","sbrief":"mod above o with inverted breve"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"latin small letter r with double grave","alternative":"latin small letter r double grave","short":"r double grave"},"mathspeak":{"default":"modifying above r with double grave","brief":"mod above r with double grave","sbrief":"mod above r with double grave"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"latin small letter r with inverted breve","alternative":"latin small letter r inverted breve","short":"r inverted breve"},"mathspeak":{"default":"modifying above r with inverted breve","brief":"mod above r with inverted breve","sbrief":"mod above r with inverted breve"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"latin small letter u with double grave","alternative":"latin small letter u double grave","short":"u double grave"},"mathspeak":{"default":"modifying above u with double grave","brief":"mod above u with double grave","sbrief":"mod above u with double grave"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"latin small letter u with inverted breve","alternative":"latin small letter u inverted breve","short":"u inverted breve"},"mathspeak":{"default":"modifying above u with inverted breve","brief":"mod above u with inverted breve","sbrief":"mod above u with inverted breve"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"latin small letter s with comma below","alternative":"latin small letter s comma below","short":"s comma below"},"mathspeak":{"default":"modifying below s with comma below","brief":"mod below s with comma below","sbrief":"mod below s with comma below"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"latin small letter t with comma below","alternative":"latin small letter t comma below","short":"t comma below"},"mathspeak":{"default":"modifying below t with comma below","brief":"mod below t with comma below","sbrief":"mod below t with comma below"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"latin small letter h with caron","alternative":"latin small letter h caron","short":"h caron"},"mathspeak":{"default":"modifying above h with caron","brief":"mod above h with caron","sbrief":"mod above h with caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"latin small letter a with dot above","alternative":"latin small letter a overdot","short":"a overdot"},"mathspeak":{"default":"modifying above a with dot","brief":"mod above a with dot","sbrief":"mod above a with dot"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"latin small letter e with cedilla","alternative":"latin small letter e cedilla","short":"e cedilla"},"mathspeak":{"default":"modifying above e with cedilla","brief":"mod above e with cedilla","sbrief":"mod above e with cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"latin small letter o with dot above","alternative":"latin small letter o overdot","short":"o overdot"},"mathspeak":{"default":"modifying above o with dot","brief":"mod above o with dot","sbrief":"mod above o with dot"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"latin small letter y with macron","alternative":"latin small letter y overbar","short":"y overbar"},"mathspeak":{"default":"y overbar","brief":"y overbar","sbrief":"y overbar"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"latin small letter dotless j","alternative":"latin small letter dotless j","short":"dotless j"},"mathspeak":{"default":"modifying above d with tless j","brief":"mod above d with tless j","sbrief":"mod above d with tless j"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"latin small letter a ring below","alternative":"latin small letter a ring below","short":"a ring below"},"mathspeak":{"default":"modifying below a with ring below","brief":"mod below a with ring below","sbrief":"mod below a with ring below"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"latin small letter b with dot above","alternative":"latin small letter b overdot","short":"b overdot"},"mathspeak":{"default":"modifying above b with dot","brief":"mod above b with dot","sbrief":"mod above b with dot"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"latin small letter b with dot below","alternative":"latin small letter b underdot","short":"b underdot"},"mathspeak":{"default":"modifying below b with dot","brief":"mod below b with dot","sbrief":"mod below b with dot"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"latin small letter b with line below","alternative":"latin small letter b underbar","short":"b underbar"},"mathspeak":{"default":"b underbar","brief":"b underbar","sbrief":"b underbar"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"latin small letter d with dot above","alternative":"latin small letter d overdot","short":"d overdot"},"mathspeak":{"default":"modifying above d with dot","brief":"mod above d with dot","sbrief":"mod above d with dot"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"latin small letter d with dot below","alternative":"latin small letter d underdot","short":"d underdot"},"mathspeak":{"default":"modifying below d with dot","brief":"mod below d with dot","sbrief":"mod below d with dot"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"latin small letter d with line below","alternative":"latin small letter d underbar","short":"d underbar"},"mathspeak":{"default":"d underbar","brief":"d underbar","sbrief":"d underbar"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"latin small letter d with cedilla","alternative":"latin small letter d cedilla","short":"d cedilla"},"mathspeak":{"default":"modifying above d with cedilla","brief":"mod above d with cedilla","sbrief":"mod above d with cedilla"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"latin small letter d with circumflex below","alternative":"latin small letter d underhat","short":"d underhat"},"mathspeak":{"default":"modifying below d with caret","brief":"mod below d with caret","sbrief":"mod below d with caret"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"latin small letter e with circumflex below","alternative":"latin small letter e underhat","short":"e underhat"},"mathspeak":{"default":"modifying below e with caret","brief":"mod below e with caret","sbrief":"mod below e with caret"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"latin small letter e with tilde below","alternative":"latin small letter e tilde below","short":"e tilde below"},"mathspeak":{"default":"e undertilde","brief":"e undertilde","sbrief":"e undertilde"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"latin small letter f with dot above","alternative":"latin small letter f overdot","short":"f overdot"},"mathspeak":{"default":"modifying above f with dot","brief":"mod above f with dot","sbrief":"mod above f with dot"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"latin small letter g with macron","alternative":"latin small letter g overbar","short":"g overbar"},"mathspeak":{"default":"g overbar","brief":"g overbar","sbrief":"g overbar"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"latin small letter h with dot above","alternative":"latin small letter h overdot","short":"h overdot"},"mathspeak":{"default":"modifying above h with dot","brief":"mod above h with dot","sbrief":"mod above h with dot"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"latin small letter h with dot below","alternative":"latin small letter h underdot","short":"h underdot"},"mathspeak":{"default":"modifying below h with dot","brief":"mod below h with dot","sbrief":"mod below h with dot"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"latin small letter h with diaeresis","alternative":"latin small letter h double overdot","short":"h double overdot"},"mathspeak":{"default":"modifying above h with double dot","brief":"mod above h with double dot","sbrief":"mod above h with double dot"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"latin small letter h with cedilla","alternative":"latin small letter h cedilla","short":"h cedilla"},"mathspeak":{"default":"modifying above h with cedilla","brief":"mod above h with cedilla","sbrief":"mod above h with cedilla"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"latin small letter h with breve below","alternative":"latin small letter h breve below","short":"h breve below"},"mathspeak":{"default":"modifying below h with breve below","brief":"mod below h with breve below","sbrief":"mod below h with breve below"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"latin small letter i with tilde below","alternative":"latin small letter i tilde below","short":"i tilde below"},"mathspeak":{"default":"i undertilde","brief":"i undertilde","sbrief":"i undertilde"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"latin small letter k with acute","alternative":"latin small letter k acute","short":"k acute"},"mathspeak":{"default":"modifying above k with acute","brief":"mod above k with acute","sbrief":"mod above k with acute"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"latin small letter k with dot below","alternative":"latin small letter k underdot","short":"k underdot"},"mathspeak":{"default":"modifying below k with dot","brief":"mod below k with dot","sbrief":"mod below k with dot"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"latin small letter k with line below","alternative":"latin small letter k underbar","short":"k underbar"},"mathspeak":{"default":"k underbar","brief":"k underbar","sbrief":"k underbar"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"latin small letter l with dot below","alternative":"latin small letter l underdot","short":"l underdot"},"mathspeak":{"default":"modifying below l with dot","brief":"mod below l with dot","sbrief":"mod below l with dot"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"latin small letter l with line below","alternative":"latin small letter l underbar","short":"l underbar"},"mathspeak":{"default":"l underbar","brief":"l underbar","sbrief":"l underbar"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"latin small letter l with circumflex below","alternative":"latin small letter l underhat","short":"l underhat"},"mathspeak":{"default":"modifying below l with caret","brief":"mod below l with caret","sbrief":"mod below l with caret"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"latin small letter m with acute","alternative":"latin small letter m acute","short":"m acute"},"mathspeak":{"default":"modifying above m with acute","brief":"mod above m with acute","sbrief":"mod above m with acute"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"latin small letter m with dot above","alternative":"latin small letter m overdot","short":"m overdot"},"mathspeak":{"default":"modifying above m with dot","brief":"mod above m with dot","sbrief":"mod above m with dot"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"latin small letter m with dot below","alternative":"latin small letter m underdot","short":"m underdot"},"mathspeak":{"default":"modifying below m with dot","brief":"mod below m with dot","sbrief":"mod below m with dot"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"latin small letter n with dot above","alternative":"latin small letter n overdot","short":"n overdot"},"mathspeak":{"default":"modifying above n with dot","brief":"mod above n with dot","sbrief":"mod above n with dot"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"latin small letter n with dot below","alternative":"latin small letter n underdot","short":"n underdot"},"mathspeak":{"default":"modifying below n with dot","brief":"mod below n with dot","sbrief":"mod below n with dot"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"latin small letter n with line below","alternative":"latin small letter n underbar","short":"n underbar"},"mathspeak":{"default":"n underbar","brief":"n underbar","sbrief":"n underbar"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"latin small letter n with circumflex below","alternative":"latin small letter n underhat","short":"n underhat"},"mathspeak":{"default":"modifying below n with caret","brief":"mod below n with caret","sbrief":"mod below n with caret"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"latin small letter p with acute","alternative":"latin small letter p acute","short":"p acute"},"mathspeak":{"default":"modifying above p with acute","brief":"mod above p with acute","sbrief":"mod above p with acute"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"latin small letter p with dot above","alternative":"latin small letter p overdot","short":"p overdot"},"mathspeak":{"default":"modifying above p with dot","brief":"mod above p with dot","sbrief":"mod above p with dot"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"latin small letter r with dot above","alternative":"latin small letter r overdot","short":"r overdot"},"mathspeak":{"default":"modifying above r with dot","brief":"mod above r with dot","sbrief":"mod above r with dot"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"latin small letter r with dot below","alternative":"latin small letter r underdot","short":"r underdot"},"mathspeak":{"default":"modifying below r with dot","brief":"mod below r with dot","sbrief":"mod below r with dot"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"latin small letter r with line below","alternative":"latin small letter r underbar","short":"r underbar"},"mathspeak":{"default":"r underbar","brief":"r underbar","sbrief":"r underbar"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"latin small letter s with dot above","alternative":"latin small letter s overdot","short":"s overdot"},"mathspeak":{"default":"modifying above s with dot","brief":"mod above s with dot","sbrief":"mod above s with dot"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"latin small letter s with dot below","alternative":"latin small letter s underdot","short":"s underdot"},"mathspeak":{"default":"modifying below s with dot","brief":"mod below s with dot","sbrief":"mod below s with dot"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"latin small letter t with dot above","alternative":"latin small letter t overdot","short":"t overdot"},"mathspeak":{"default":"modifying above t with dot","brief":"mod above t with dot","sbrief":"mod above t with dot"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"latin small letter t with dot below","alternative":"latin small letter t underdot","short":"t underdot"},"mathspeak":{"default":"modifying below t with dot","brief":"mod below t with dot","sbrief":"mod below t with dot"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"latin small letter t with line below","alternative":"latin small letter t underbar","short":"t underbar"},"mathspeak":{"default":"t underbar","brief":"t underbar","sbrief":"t underbar"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"latin small letter t with circumflex below","alternative":"latin small letter t underhat","short":"t underhat"},"mathspeak":{"default":"modifying below t with caret","brief":"mod below t with caret","sbrief":"mod below t with caret"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"latin small letter u with diaeresis below","alternative":"latin small letter u double underdot","short":"u double underdot"},"mathspeak":{"default":"modifying below u with double dot","brief":"mod below u with double dot","sbrief":"mod below u with double dot"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"latin small letter u with tilde below","alternative":"latin small letter u tilde below","short":"u tilde below"},"mathspeak":{"default":"u undertilde","brief":"u undertilde","sbrief":"u undertilde"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"latin small letter u with circumflex below","alternative":"latin small letter u underhat","short":"u underhat"},"mathspeak":{"default":"modifying below u with caret","brief":"mod below u with caret","sbrief":"mod below u with caret"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"latin small letter v with tilde","alternative":"latin small letter v tilde","short":"v tilde"},"mathspeak":{"default":"v overtilde","brief":"v overtilde","sbrief":"v overtilde"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"latin small letter v with dot below","alternative":"latin small letter v underdot","short":"v underdot"},"mathspeak":{"default":"modifying below v with dot","brief":"mod below v with dot","sbrief":"mod below v with dot"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"latin small letter w with grave","alternative":"latin small letter w grave","short":"w grave"},"mathspeak":{"default":"modifying above w with grave","brief":"mod above w with grave","sbrief":"mod above w with grave"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"latin small letter w with acute","alternative":"latin small letter w acute","short":"w acute"},"mathspeak":{"default":"modifying above w with acute","brief":"mod above w with acute","sbrief":"mod above w with acute"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"latin small letter w with diaeresis","alternative":"latin small letter w double overdot","short":"w double overdot"},"mathspeak":{"default":"modifying above w with double dot","brief":"mod above w with double dot","sbrief":"mod above w with double dot"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"latin small letter w with dot above","alternative":"latin small letter w overdot","short":"w overdot"},"mathspeak":{"default":"modifying above w with dot","brief":"mod above w with dot","sbrief":"mod above w with dot"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"latin small letter w with dot below","alternative":"latin small letter w underdot","short":"w underdot"},"mathspeak":{"default":"modifying below w with dot","brief":"mod below w with dot","sbrief":"mod below w with dot"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"latin small letter x with dot above","alternative":"latin small letter x overdot","short":"x overdot"},"mathspeak":{"default":"modifying above x with dot","brief":"mod above x with dot","sbrief":"mod above x with dot"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"latin small letter x with diaeresis","alternative":"latin small letter x double overdot","short":"x double overdot"},"mathspeak":{"default":"modifying above x with double dot","brief":"mod above x with double dot","sbrief":"mod above x with double dot"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"latin small letter y with dot above","alternative":"latin small letter y overdot","short":"y overdot"},"mathspeak":{"default":"modifying above y with dot","brief":"mod above y with dot","sbrief":"mod above y with dot"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"latin small letter z with circumflex","alternative":"latin small letter z hat","short":"z hat"},"mathspeak":{"default":"modifying above z with caret","brief":"mod above z with caret","sbrief":"mod above z with caret"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"latin small letter z with dot below","alternative":"latin small letter z underdot","short":"z underdot"},"mathspeak":{"default":"modifying below z with dot","brief":"mod below z with dot","sbrief":"mod below z with dot"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"latin small letter z with line below","alternative":"latin small letter z underbar","short":"z underbar"},"mathspeak":{"default":"z underbar","brief":"z underbar","sbrief":"z underbar"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"latin small letter h with line below","alternative":"latin small letter h underbar","short":"h underbar"},"mathspeak":{"default":"h underbar","brief":"h underbar","sbrief":"h underbar"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"latin small letter t with diaeresis","alternative":"latin small letter t double overdot","short":"t double overdot"},"mathspeak":{"default":"modifying above t with double dot","brief":"mod above t with double dot","sbrief":"mod above t with double dot"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"latin small letter w with ring above","alternative":"latin small letter w ring","short":"w ring"},"mathspeak":{"default":"modifying above w with ring","brief":"mod above w with ring","sbrief":"mod above w with ring"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"latin small letter y with ring above","alternative":"latin small letter y ring","short":"y ring"},"mathspeak":{"default":"modifying above y with ring","brief":"mod above y with ring","sbrief":"mod above y with ring"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"latin small letter a with right half ring","alternative":"latin small letter a right half ring","short":"a right half ring"},"mathspeak":{"default":"modifying above a with right half ring","brief":"mod above a with right half ring","sbrief":"mod above a with right half ring"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"latin small letter a with dot below","alternative":"latin small letter a underdot","short":"a underdot"},"mathspeak":{"default":"modifying below a with dot","brief":"mod below a with dot","sbrief":"mod below a with dot"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"latin small letter a with hook above","alternative":"latin small letter a hook","short":"a hook"},"mathspeak":{"default":"modifying above a with hook","brief":"mod above a with hook","sbrief":"mod above a with hook"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"latin small letter e with dot below","alternative":"latin small letter e underdot","short":"e underdot"},"mathspeak":{"default":"modifying below e with dot","brief":"mod below e with dot","sbrief":"mod below e with dot"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"latin small letter e with hook above","alternative":"latin small letter e hook","short":"e hook"},"mathspeak":{"default":"modifying above e with hook","brief":"mod above e with hook","sbrief":"mod above e with hook"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"latin small letter e with tilde","alternative":"latin small letter e tilde","short":"e tilde"},"mathspeak":{"default":"e overtilde","brief":"e overtilde","sbrief":"e overtilde"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"latin small letter i with hook above","alternative":"latin small letter i hook","short":"i hook"},"mathspeak":{"default":"modifying above i with hook","brief":"mod above i with hook","sbrief":"mod above i with hook"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"latin small letter i with dot below","alternative":"latin small letter i underdot","short":"i underdot"},"mathspeak":{"default":"modifying below i with dot","brief":"mod below i with dot","sbrief":"mod below i with dot"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"latin small letter o with dot below","alternative":"latin small letter o underdot","short":"o underdot"},"mathspeak":{"default":"modifying below o with dot","brief":"mod below o with dot","sbrief":"mod below o with dot"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"latin small letter o with hook above","alternative":"latin small letter o hook","short":"o hook"},"mathspeak":{"default":"modifying above o with hook","brief":"mod above o with hook","sbrief":"mod above o with hook"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"latin small letter u with dot below","alternative":"latin small letter u underdot","short":"u underdot"},"mathspeak":{"default":"modifying below u with dot","brief":"mod below u with dot","sbrief":"mod below u with dot"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"latin small letter u with hook above","alternative":"latin small letter u hook","short":"u hook"},"mathspeak":{"default":"modifying above u with hook","brief":"mod above u with hook","sbrief":"mod above u with hook"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"latin small letter y with grave","alternative":"latin small letter y grave","short":"y grave"},"mathspeak":{"default":"modifying above y with grave","brief":"mod above y with grave","sbrief":"mod above y with grave"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"latin small letter y with dot below","alternative":"latin small letter y underdot","short":"y underdot"},"mathspeak":{"default":"modifying below y with dot","brief":"mod below y with dot","sbrief":"mod below y with dot"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"latin small letter y with hook above","alternative":"latin small letter y hook","short":"y hook"},"mathspeak":{"default":"modifying above y with hook","brief":"mod above y with hook","sbrief":"mod above y with hook"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"latin small letter y with tilde","alternative":"latin small letter y tilde","short":"y tilde"},"mathspeak":{"default":"y overtilde","brief":"y overtilde","sbrief":"y overtilde"}}}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold-fraktur.js b/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold-fraktur.js
deleted file mode 100644
index 4de56831ac..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold-fraktur.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital a","short":"bold fraktur cap a"},"mathspeak":{"default":"bold fraktur upper A"}},"key":"1D56C"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital b","short":"bold fraktur cap b"},"mathspeak":{"default":"bold fraktur upper B"}},"key":"1D56D"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital c","short":"bold fraktur cap c"},"mathspeak":{"default":"bold fraktur upper C"}},"key":"1D56E"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital d","short":"bold fraktur cap d"},"mathspeak":{"default":"bold fraktur upper D"}},"key":"1D56F"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital e","short":"bold fraktur cap e"},"mathspeak":{"default":"bold fraktur upper E"}},"key":"1D570"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital f","short":"bold fraktur cap f"},"mathspeak":{"default":"bold fraktur upper F"}},"key":"1D571"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital g","short":"bold fraktur cap g"},"mathspeak":{"default":"bold fraktur upper G"}},"key":"1D572"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital h","short":"bold fraktur cap h"},"mathspeak":{"default":"bold fraktur upper H"}},"key":"1D573"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital i","short":"bold fraktur cap i"},"mathspeak":{"default":"bold fraktur upper I"}},"key":"1D574"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital j","short":"bold fraktur cap j"},"mathspeak":{"default":"bold fraktur upper J"}},"key":"1D575"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital k","short":"bold fraktur cap k"},"mathspeak":{"default":"bold fraktur upper K"}},"key":"1D576"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital l","short":"bold fraktur cap l"},"mathspeak":{"default":"bold fraktur upper L"}},"key":"1D577"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital m","short":"bold fraktur cap m"},"mathspeak":{"default":"bold fraktur upper M"}},"key":"1D578"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital n","short":"bold fraktur cap n"},"mathspeak":{"default":"bold fraktur upper N"}},"key":"1D579"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital o","short":"bold fraktur cap o"},"mathspeak":{"default":"bold fraktur upper O"}},"key":"1D57A"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital p","short":"bold fraktur cap p"},"mathspeak":{"default":"bold fraktur upper P"}},"key":"1D57B"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital q","short":"bold fraktur cap q"},"mathspeak":{"default":"bold fraktur upper Q"}},"key":"1D57C"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital r","short":"bold fraktur cap r"},"mathspeak":{"default":"bold fraktur upper R"}},"key":"1D57D"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital s","short":"bold fraktur cap s"},"mathspeak":{"default":"bold fraktur upper S"}},"key":"1D57E"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital t","short":"bold fraktur cap t"},"mathspeak":{"default":"bold fraktur upper T"}},"key":"1D57F"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital u","short":"bold fraktur cap u"},"mathspeak":{"default":"bold fraktur upper U"}},"key":"1D580"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital v","short":"bold fraktur cap v"},"mathspeak":{"default":"bold fraktur upper V"}},"key":"1D581"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital w","short":"bold fraktur cap w"},"mathspeak":{"default":"bold fraktur upper W"}},"key":"1D582"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital x","short":"bold fraktur cap x"},"mathspeak":{"default":"bold fraktur upper X"}},"key":"1D583"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital y","short":"bold fraktur cap y"},"mathspeak":{"default":"bold fraktur upper Y"}},"key":"1D584"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital z","short":"bold fraktur cap z"},"mathspeak":{"default":"bold fraktur upper Z"}},"key":"1D585"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small a","short":"bold fraktur a"}},"key":"1D586"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small b","short":"bold fraktur b"}},"key":"1D587"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small c","short":"bold fraktur c"}},"key":"1D588"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small d","short":"bold fraktur d"}},"key":"1D589"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small e","short":"bold fraktur e"}},"key":"1D58A"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small f","short":"bold fraktur f"}},"key":"1D58B"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small g","short":"bold fraktur g"}},"key":"1D58C"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small h","short":"bold fraktur h"}},"key":"1D58D"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small i","short":"bold fraktur i"}},"key":"1D58E"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small j","short":"bold fraktur j"}},"key":"1D58F"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small k","short":"bold fraktur k"}},"key":"1D590"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small l","short":"bold fraktur l"}},"key":"1D591"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small m","short":"bold fraktur m"}},"key":"1D592"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small n","short":"bold fraktur n"}},"key":"1D593"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small o","short":"bold fraktur o"}},"key":"1D594"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small p","short":"bold fraktur p"}},"key":"1D595"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small q","short":"bold fraktur q"}},"key":"1D596"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small r","short":"bold fraktur r"}},"key":"1D597"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small s","short":"bold fraktur s"}},"key":"1D598"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small t","short":"bold fraktur t"}},"key":"1D599"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small u","short":"bold fraktur u"}},"key":"1D59A"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small v","short":"bold fraktur v"}},"key":"1D59B"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small w","short":"bold fraktur w"}},"key":"1D59C"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small x","short":"bold fraktur x"}},"key":"1D59D"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small y","short":"bold fraktur y"}},"key":"1D59E"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small z","short":"bold fraktur z"}},"key":"1D59F"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold-script.js b/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold-script.js
deleted file mode 100644
index 5f818c2db8..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold-script.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"bold script capital a","short":"bold script cap a"},"mathspeak":{"default":"bold script upper A"}},"key":"1D4D0"},{"category":"Lu","mappings":{"default":{"default":"bold script capital b","short":"bold script cap b"},"mathspeak":{"default":"bold script upper B"}},"key":"1D4D1"},{"category":"Lu","mappings":{"default":{"default":"bold script capital c","short":"bold script cap c"},"mathspeak":{"default":"bold script upper C"}},"key":"1D4D2"},{"category":"Lu","mappings":{"default":{"default":"bold script capital d","short":"bold script cap d"},"mathspeak":{"default":"bold script upper D"}},"key":"1D4D3"},{"category":"Lu","mappings":{"default":{"default":"bold script capital e","short":"bold script cap e"},"mathspeak":{"default":"bold script upper E"}},"key":"1D4D4"},{"category":"Lu","mappings":{"default":{"default":"bold script capital f","short":"bold script cap f"},"mathspeak":{"default":"bold script upper F"}},"key":"1D4D5"},{"category":"Lu","mappings":{"default":{"default":"bold script capital g","short":"bold script cap g"},"mathspeak":{"default":"bold script upper G"}},"key":"1D4D6"},{"category":"Lu","mappings":{"default":{"default":"bold script capital h","short":"bold script cap h"},"mathspeak":{"default":"bold script upper H"}},"key":"1D4D7"},{"category":"Lu","mappings":{"default":{"default":"bold script capital i","short":"bold script cap i"},"mathspeak":{"default":"bold script upper I"}},"key":"1D4D8"},{"category":"Lu","mappings":{"default":{"default":"bold script capital j","short":"bold script cap j"},"mathspeak":{"default":"bold script upper J"}},"key":"1D4D9"},{"category":"Lu","mappings":{"default":{"default":"bold script capital k","short":"bold script cap k"},"mathspeak":{"default":"bold script upper K"}},"key":"1D4DA"},{"category":"Lu","mappings":{"default":{"default":"bold script capital l","short":"bold script cap l"},"mathspeak":{"default":"bold script upper L"}},"key":"1D4DB"},{"category":"Lu","mappings":{"default":{"default":"bold script capital m","short":"bold script cap m"},"mathspeak":{"default":"bold script upper M"}},"key":"1D4DC"},{"category":"Lu","mappings":{"default":{"default":"bold script capital n","short":"bold script cap n"},"mathspeak":{"default":"bold script upper N"}},"key":"1D4DD"},{"category":"Lu","mappings":{"default":{"default":"bold script capital o","short":"bold script cap o"},"mathspeak":{"default":"bold script upper O"}},"key":"1D4DE"},{"category":"Lu","mappings":{"default":{"default":"bold script capital p","short":"bold script cap p"},"mathspeak":{"default":"bold script upper P"}},"key":"1D4DF"},{"category":"Lu","mappings":{"default":{"default":"bold script capital q","short":"bold script cap q"},"mathspeak":{"default":"bold script upper Q"}},"key":"1D4E0"},{"category":"Lu","mappings":{"default":{"default":"bold script capital r","short":"bold script cap r"},"mathspeak":{"default":"bold script upper R"}},"key":"1D4E1"},{"category":"Lu","mappings":{"default":{"default":"bold script capital s","short":"bold script cap s"},"mathspeak":{"default":"bold script upper S"}},"key":"1D4E2"},{"category":"Lu","mappings":{"default":{"default":"bold script capital t","short":"bold script cap t"},"mathspeak":{"default":"bold script upper T"}},"key":"1D4E3"},{"category":"Lu","mappings":{"default":{"default":"bold script capital u","short":"bold script cap u"},"mathspeak":{"default":"bold script upper U"}},"key":"1D4E4"},{"category":"Lu","mappings":{"default":{"default":"bold script capital v","short":"bold script cap v"},"mathspeak":{"default":"bold script upper V"}},"key":"1D4E5"},{"category":"Lu","mappings":{"default":{"default":"bold script capital w","short":"bold script cap w"},"mathspeak":{"default":"bold script upper W"}},"key":"1D4E6"},{"category":"Lu","mappings":{"default":{"default":"bold script capital x","short":"bold script cap x"},"mathspeak":{"default":"bold script upper X"}},"key":"1D4E7"},{"category":"Lu","mappings":{"default":{"default":"bold script capital y","short":"bold script cap y"},"mathspeak":{"default":"bold script upper Y"}},"key":"1D4E8"},{"category":"Lu","mappings":{"default":{"default":"bold script capital z","short":"bold script cap z"},"mathspeak":{"default":"bold script upper Z"}},"key":"1D4E9"},{"category":"Ll","mappings":{"default":{"default":"bold script small a","short":"bold script a"}},"key":"1D4EA"},{"category":"Ll","mappings":{"default":{"default":"bold script small b","short":"bold script b"}},"key":"1D4EB"},{"category":"Ll","mappings":{"default":{"default":"bold script small c","short":"bold script c"}},"key":"1D4EC"},{"category":"Ll","mappings":{"default":{"default":"bold script small d","short":"bold script d"}},"key":"1D4ED"},{"category":"Ll","mappings":{"default":{"default":"bold script small e","short":"bold script e"}},"key":"1D4EE"},{"category":"Ll","mappings":{"default":{"default":"bold script small f","short":"bold script f"}},"key":"1D4EF"},{"category":"Ll","mappings":{"default":{"default":"bold script small g","short":"bold script g"}},"key":"1D4F0"},{"category":"Ll","mappings":{"default":{"default":"bold script small h","short":"bold script h"}},"key":"1D4F1"},{"category":"Ll","mappings":{"default":{"default":"bold script small i","short":"bold script i"}},"key":"1D4F2"},{"category":"Ll","mappings":{"default":{"default":"bold script small j","short":"bold script j"}},"key":"1D4F3"},{"category":"Ll","mappings":{"default":{"default":"bold script small k","short":"bold script k"}},"key":"1D4F4"},{"category":"Ll","mappings":{"default":{"default":"bold script small l","short":"bold script l"}},"key":"1D4F5"},{"category":"Ll","mappings":{"default":{"default":"bold script small m","short":"bold script m"}},"key":"1D4F6"},{"category":"Ll","mappings":{"default":{"default":"bold script small n","short":"bold script n"}},"key":"1D4F7"},{"category":"Ll","mappings":{"default":{"default":"bold script small o","short":"bold script o"}},"key":"1D4F8"},{"category":"Ll","mappings":{"default":{"default":"bold script small p","short":"bold script p"}},"key":"1D4F9"},{"category":"Ll","mappings":{"default":{"default":"bold script small q","short":"bold script q"}},"key":"1D4FA"},{"category":"Ll","mappings":{"default":{"default":"bold script small r","short":"bold script r"}},"key":"1D4FB"},{"category":"Ll","mappings":{"default":{"default":"bold script small s","short":"bold script s"}},"key":"1D4FC"},{"category":"Ll","mappings":{"default":{"default":"bold script small t","short":"bold script t"}},"key":"1D4FD"},{"category":"Ll","mappings":{"default":{"default":"bold script small u","short":"bold script u"}},"key":"1D4FE"},{"category":"Ll","mappings":{"default":{"default":"bold script small v","short":"bold script v"}},"key":"1D4FF"},{"category":"Ll","mappings":{"default":{"default":"bold script small w","short":"bold script w"}},"key":"1D500"},{"category":"Ll","mappings":{"default":{"default":"bold script small x","short":"bold script x"}},"key":"1D501"},{"category":"Ll","mappings":{"default":{"default":"bold script small y","short":"bold script y"}},"key":"1D502"},{"category":"Ll","mappings":{"default":{"default":"bold script small z","short":"bold script z"}},"key":"1D503"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold.js b/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold.js
deleted file mode 100644
index 37992baae3..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"bold capital a","short":"bold cap a"},"mathspeak":{"default":"bold upper A"}},"key":"1D400"},{"category":"Lu","mappings":{"default":{"default":"bold capital b","short":"bold cap b"},"mathspeak":{"default":"bold upper B"}},"key":"1D401"},{"category":"Lu","mappings":{"default":{"default":"bold capital c","short":"bold cap c"},"mathspeak":{"default":"bold upper C"}},"key":"1D402"},{"category":"Lu","mappings":{"default":{"default":"bold capital d","short":"bold cap d"},"mathspeak":{"default":"bold upper D"}},"key":"1D403"},{"category":"Lu","mappings":{"default":{"default":"bold capital e","short":"bold cap e"},"mathspeak":{"default":"bold upper E"}},"key":"1D404"},{"category":"Lu","mappings":{"default":{"default":"bold capital f","short":"bold cap f"},"mathspeak":{"default":"bold upper F"}},"key":"1D405"},{"category":"Lu","mappings":{"default":{"default":"bold capital g","short":"bold cap g"},"mathspeak":{"default":"bold upper G"}},"key":"1D406"},{"category":"Lu","mappings":{"default":{"default":"bold capital h","short":"bold cap h"},"mathspeak":{"default":"bold upper H"}},"key":"1D407"},{"category":"Lu","mappings":{"default":{"default":"bold capital i","short":"bold cap i"},"mathspeak":{"default":"bold upper I"}},"key":"1D408"},{"category":"Lu","mappings":{"default":{"default":"bold capital j","short":"bold cap j"},"mathspeak":{"default":"bold upper J"}},"key":"1D409"},{"category":"Lu","mappings":{"default":{"default":"bold capital k","short":"bold cap k"},"mathspeak":{"default":"bold upper K"}},"key":"1D40A"},{"category":"Lu","mappings":{"default":{"default":"bold capital l","short":"bold cap l"},"mathspeak":{"default":"bold upper L"}},"key":"1D40B"},{"category":"Lu","mappings":{"default":{"default":"bold capital m","short":"bold cap m"},"mathspeak":{"default":"bold upper M"}},"key":"1D40C"},{"category":"Lu","mappings":{"default":{"default":"bold capital n","short":"bold cap n"},"mathspeak":{"default":"bold upper N"}},"key":"1D40D"},{"category":"Lu","mappings":{"default":{"default":"bold capital o","short":"bold cap o"},"mathspeak":{"default":"bold upper O"}},"key":"1D40E"},{"category":"Lu","mappings":{"default":{"default":"bold capital p","short":"bold cap p"},"mathspeak":{"default":"bold upper P"}},"key":"1D40F"},{"category":"Lu","mappings":{"default":{"default":"bold capital q","short":"bold cap q"},"mathspeak":{"default":"bold upper Q"}},"key":"1D410"},{"category":"Lu","mappings":{"default":{"default":"bold capital r","short":"bold cap r"},"mathspeak":{"default":"bold upper R"}},"key":"1D411"},{"category":"Lu","mappings":{"default":{"default":"bold capital s","short":"bold cap s"},"mathspeak":{"default":"bold upper S"}},"key":"1D412"},{"category":"Lu","mappings":{"default":{"default":"bold capital t","short":"bold cap t"},"mathspeak":{"default":"bold upper T"}},"key":"1D413"},{"category":"Lu","mappings":{"default":{"default":"bold capital u","short":"bold cap u"},"mathspeak":{"default":"bold upper U"}},"key":"1D414"},{"category":"Lu","mappings":{"default":{"default":"bold capital v","short":"bold cap v"},"mathspeak":{"default":"bold upper V"}},"key":"1D415"},{"category":"Lu","mappings":{"default":{"default":"bold capital w","short":"bold cap w"},"mathspeak":{"default":"bold upper W"}},"key":"1D416"},{"category":"Lu","mappings":{"default":{"default":"bold capital x","short":"bold cap x"},"mathspeak":{"default":"bold upper X"}},"key":"1D417"},{"category":"Lu","mappings":{"default":{"default":"bold capital y","short":"bold cap y"},"mathspeak":{"default":"bold upper Y"}},"key":"1D418"},{"category":"Lu","mappings":{"default":{"default":"bold capital z","short":"bold cap z"},"mathspeak":{"default":"bold upper Z"}},"key":"1D419"},{"category":"Ll","mappings":{"default":{"default":"bold small a","short":"bold a"}},"key":"1D41A"},{"category":"Ll","mappings":{"default":{"default":"bold small b","short":"bold b"}},"key":"1D41B"},{"category":"Ll","mappings":{"default":{"default":"bold small c","short":"bold c"}},"key":"1D41C"},{"category":"Ll","mappings":{"default":{"default":"bold small d","short":"bold d"}},"key":"1D41D"},{"category":"Ll","mappings":{"default":{"default":"bold small e","short":"bold e"}},"key":"1D41E"},{"category":"Ll","mappings":{"default":{"default":"bold small f","short":"bold f"}},"key":"1D41F"},{"category":"Ll","mappings":{"default":{"default":"bold small g","short":"bold g"}},"key":"1D420"},{"category":"Ll","mappings":{"default":{"default":"bold small h","short":"bold h"}},"key":"1D421"},{"category":"Ll","mappings":{"default":{"default":"bold small i","short":"bold i"}},"key":"1D422"},{"category":"Ll","mappings":{"default":{"default":"bold small j","short":"bold j"}},"key":"1D423"},{"category":"Ll","mappings":{"default":{"default":"bold small k","short":"bold k"}},"key":"1D424"},{"category":"Ll","mappings":{"default":{"default":"bold small l","short":"bold l"}},"key":"1D425"},{"category":"Ll","mappings":{"default":{"default":"bold small m","short":"bold m"}},"key":"1D426"},{"category":"Ll","mappings":{"default":{"default":"bold small n","short":"bold n"}},"key":"1D427"},{"category":"Ll","mappings":{"default":{"default":"bold small o","short":"bold o"}},"key":"1D428"},{"category":"Ll","mappings":{"default":{"default":"bold small p","short":"bold p"}},"key":"1D429"},{"category":"Ll","mappings":{"default":{"default":"bold small q","short":"bold q"}},"key":"1D42A"},{"category":"Ll","mappings":{"default":{"default":"bold small r","short":"bold r"}},"key":"1D42B"},{"category":"Ll","mappings":{"default":{"default":"bold small s","short":"bold s"}},"key":"1D42C"},{"category":"Ll","mappings":{"default":{"default":"bold small t","short":"bold t"}},"key":"1D42D"},{"category":"Ll","mappings":{"default":{"default":"bold small u","short":"bold u"}},"key":"1D42E"},{"category":"Ll","mappings":{"default":{"default":"bold small v","short":"bold v"}},"key":"1D42F"},{"category":"Ll","mappings":{"default":{"default":"bold small w","short":"bold w"}},"key":"1D430"},{"category":"Ll","mappings":{"default":{"default":"bold small x","short":"bold x"}},"key":"1D431"},{"category":"Ll","mappings":{"default":{"default":"bold small y","short":"bold y"}},"key":"1D432"},{"category":"Ll","mappings":{"default":{"default":"bold small z","short":"bold z"}},"key":"1D433"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-double-struck.js b/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-double-struck.js
deleted file mode 100644
index a7d1238611..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-double-struck.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"double struck capital a","short":"double struck cap a"},"mathspeak":{"default":"double struck upper A"}},"key":"1D538"},{"category":"Lu","mappings":{"default":{"default":"double struck capital b","short":"double struck cap b"},"mathspeak":{"default":"double struck upper B"}},"key":"1D539"},{"category":"Lu","mappings":{"default":{"default":"double struck capital c","short":"double struck cap c"},"mathspeak":{"default":"double struck upper C"}},"key":"2102"},{"category":"Lu","mappings":{"default":{"default":"double struck capital d","short":"double struck cap d"},"mathspeak":{"default":"double struck upper D"}},"key":"1D53B"},{"category":"Lu","mappings":{"default":{"default":"double struck capital e","short":"double struck cap e"},"mathspeak":{"default":"double struck upper E"}},"key":"1D53C"},{"category":"Lu","mappings":{"default":{"default":"double struck capital f","short":"double struck cap f"},"mathspeak":{"default":"double struck upper F"}},"key":"1D53D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital g","short":"double struck cap g"},"mathspeak":{"default":"double struck upper G"}},"key":"1D53E"},{"category":"Lu","mappings":{"default":{"default":"double struck capital h","short":"double struck cap h"},"mathspeak":{"default":"double struck upper H"}},"key":"210D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital i","short":"double struck cap i"},"mathspeak":{"default":"double struck upper I"}},"key":"1D540"},{"category":"Lu","mappings":{"default":{"default":"double struck capital j","short":"double struck cap j"},"mathspeak":{"default":"double struck upper J"}},"key":"1D541"},{"category":"Lu","mappings":{"default":{"default":"double struck capital k","short":"double struck cap k"},"mathspeak":{"default":"double struck upper K"}},"key":"1D542"},{"category":"Lu","mappings":{"default":{"default":"double struck capital l","short":"double struck cap l"},"mathspeak":{"default":"double struck upper L"}},"key":"1D543"},{"category":"Lu","mappings":{"default":{"default":"double struck capital m","short":"double struck cap m"},"mathspeak":{"default":"double struck upper M"}},"key":"1D544"},{"category":"Lu","mappings":{"default":{"default":"double struck capital n","short":"double struck cap n"},"mathspeak":{"default":"double struck upper N"}},"key":"2115"},{"category":"Lu","mappings":{"default":{"default":"double struck capital o","short":"double struck cap o"},"mathspeak":{"default":"double struck upper O"}},"key":"1D546"},{"category":"Lu","mappings":{"default":{"default":"double struck capital p","short":"double struck cap p"},"mathspeak":{"default":"double struck upper P"}},"key":"2119"},{"category":"Lu","mappings":{"default":{"default":"double struck capital q","short":"double struck cap q"},"mathspeak":{"default":"double struck upper Q"}},"key":"211A"},{"category":"Lu","mappings":{"default":{"default":"double struck capital r","short":"double struck cap r"},"mathspeak":{"default":"double struck upper R"}},"key":"211D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital s","short":"double struck cap s"},"mathspeak":{"default":"double struck upper S"}},"key":"1D54A"},{"category":"Lu","mappings":{"default":{"default":"double struck capital t","short":"double struck cap t"},"mathspeak":{"default":"double struck upper T"}},"key":"1D54B"},{"category":"Lu","mappings":{"default":{"default":"double struck capital u","short":"double struck cap u"},"mathspeak":{"default":"double struck upper U"}},"key":"1D54C"},{"category":"Lu","mappings":{"default":{"default":"double struck capital v","short":"double struck cap v"},"mathspeak":{"default":"double struck upper V"}},"key":"1D54D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital w","short":"double struck cap w"},"mathspeak":{"default":"double struck upper W"}},"key":"1D54E"},{"category":"Lu","mappings":{"default":{"default":"double struck capital x","short":"double struck cap x"},"mathspeak":{"default":"double struck upper X"}},"key":"1D54F"},{"category":"Lu","mappings":{"default":{"default":"double struck capital y","short":"double struck cap y"},"mathspeak":{"default":"double struck upper Y"}},"key":"1D550"},{"category":"Lu","mappings":{"default":{"default":"double struck capital z","short":"double struck cap z"},"mathspeak":{"default":"double struck upper Z"}},"key":"2124"},{"category":"Ll","mappings":{"default":{"default":"double struck small a","short":"double struck a"}},"key":"1D552"},{"category":"Ll","mappings":{"default":{"default":"double struck small b","short":"double struck b"}},"key":"1D553"},{"category":"Ll","mappings":{"default":{"default":"double struck small c","short":"double struck c"}},"key":"1D554"},{"category":"Ll","mappings":{"default":{"default":"double struck small d","short":"double struck d"}},"key":"1D555"},{"category":"Ll","mappings":{"default":{"default":"double struck small e","short":"double struck e"}},"key":"1D556"},{"category":"Ll","mappings":{"default":{"default":"double struck small f","short":"double struck f"}},"key":"1D557"},{"category":"Ll","mappings":{"default":{"default":"double struck small g","short":"double struck g"}},"key":"1D558"},{"category":"Ll","mappings":{"default":{"default":"double struck small h","short":"double struck h"}},"key":"1D559"},{"category":"Ll","mappings":{"default":{"default":"double struck small i","short":"double struck i"}},"key":"1D55A"},{"category":"Ll","mappings":{"default":{"default":"double struck small j","short":"double struck j"}},"key":"1D55B"},{"category":"Ll","mappings":{"default":{"default":"double struck small k","short":"double struck k"}},"key":"1D55C"},{"category":"Ll","mappings":{"default":{"default":"double struck small l","short":"double struck l"}},"key":"1D55D"},{"category":"Ll","mappings":{"default":{"default":"double struck small m","short":"double struck m"}},"key":"1D55E"},{"category":"Ll","mappings":{"default":{"default":"double struck small n","short":"double struck n"}},"key":"1D55F"},{"category":"Ll","mappings":{"default":{"default":"double struck small o","short":"double struck o"}},"key":"1D560"},{"category":"Ll","mappings":{"default":{"default":"double struck small p","short":"double struck p"}},"key":"1D561"},{"category":"Ll","mappings":{"default":{"default":"double struck small q","short":"double struck q"}},"key":"1D562"},{"category":"Ll","mappings":{"default":{"default":"double struck small r","short":"double struck r"}},"key":"1D563"},{"category":"Ll","mappings":{"default":{"default":"double struck small s","short":"double struck s"}},"key":"1D564"},{"category":"Ll","mappings":{"default":{"default":"double struck small t","short":"double struck t"}},"key":"1D565"},{"category":"Ll","mappings":{"default":{"default":"double struck small u","short":"double struck u"}},"key":"1D566"},{"category":"Ll","mappings":{"default":{"default":"double struck small v","short":"double struck v"}},"key":"1D567"},{"category":"Ll","mappings":{"default":{"default":"double struck small w","short":"double struck w"}},"key":"1D568"},{"category":"Ll","mappings":{"default":{"default":"double struck small x","short":"double struck x"}},"key":"1D569"},{"category":"Ll","mappings":{"default":{"default":"double struck small y","short":"double struck y"}},"key":"1D56A"},{"category":"Ll","mappings":{"default":{"default":"double struck small z","short":"double struck z"}},"key":"1D56B"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-fraktur.js b/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-fraktur.js
deleted file mode 100644
index 6cef78aab3..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-fraktur.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital a","short":"fraktur cap a"},"mathspeak":{"default":"fraktur upper A"}},"key":"1D504"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital b","short":"fraktur cap b"},"mathspeak":{"default":"fraktur upper B"}},"key":"1D505"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital c","short":"fraktur cap c"},"mathspeak":{"default":"fraktur upper C"}},"key":"212D"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital d","short":"fraktur cap d"},"mathspeak":{"default":"fraktur upper D"}},"key":"1D507"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital e","short":"fraktur cap e"},"mathspeak":{"default":"fraktur upper E"}},"key":"1D508"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital f","short":"fraktur cap f"},"mathspeak":{"default":"fraktur upper F"}},"key":"1D509"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital g","short":"fraktur cap g"},"mathspeak":{"default":"fraktur upper G"}},"key":"1D50A"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital h","short":"fraktur cap h"},"mathspeak":{"default":"fraktur upper H"}},"key":"210C"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital i","short":"fraktur cap i"},"mathspeak":{"default":"fraktur upper I"}},"key":"2111"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital j","short":"fraktur cap j"},"mathspeak":{"default":"fraktur upper J"}},"key":"1D50D"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital k","short":"fraktur cap k"},"mathspeak":{"default":"fraktur upper K"}},"key":"1D50E"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital l","short":"fraktur cap l"},"mathspeak":{"default":"fraktur upper L"}},"key":"1D50F"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital m","short":"fraktur cap m"},"mathspeak":{"default":"fraktur upper M"}},"key":"1D510"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital n","short":"fraktur cap n"},"mathspeak":{"default":"fraktur upper N"}},"key":"1D511"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital o","short":"fraktur cap o"},"mathspeak":{"default":"fraktur upper O"}},"key":"1D512"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital p","short":"fraktur cap p"},"mathspeak":{"default":"fraktur upper P"}},"key":"1D513"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital q","short":"fraktur cap q"},"mathspeak":{"default":"fraktur upper Q"}},"key":"1D514"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital r","short":"fraktur cap r"},"mathspeak":{"default":"fraktur upper R"}},"key":"211C"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital s","short":"fraktur cap s"},"mathspeak":{"default":"fraktur upper S"}},"key":"1D516"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital t","short":"fraktur cap t"},"mathspeak":{"default":"fraktur upper T"}},"key":"1D517"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital u","short":"fraktur cap u"},"mathspeak":{"default":"fraktur upper U"}},"key":"1D518"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital v","short":"fraktur cap v"},"mathspeak":{"default":"fraktur upper V"}},"key":"1D519"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital w","short":"fraktur cap w"},"mathspeak":{"default":"fraktur upper W"}},"key":"1D51A"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital x","short":"fraktur cap x"},"mathspeak":{"default":"fraktur upper X"}},"key":"1D51B"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital y","short":"fraktur cap y"},"mathspeak":{"default":"fraktur upper Y"}},"key":"1D51C"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital z","short":"fraktur cap z"},"mathspeak":{"default":"fraktur upper Z"}},"key":"2128"},{"category":"Ll","mappings":{"default":{"default":"fraktur small a","short":"fraktur a"}},"key":"1D51E"},{"category":"Ll","mappings":{"default":{"default":"fraktur small b","short":"fraktur b"}},"key":"1D51F"},{"category":"Ll","mappings":{"default":{"default":"fraktur small c","short":"fraktur c"}},"key":"1D520"},{"category":"Ll","mappings":{"default":{"default":"fraktur small d","short":"fraktur d"}},"key":"1D521"},{"category":"Ll","mappings":{"default":{"default":"fraktur small e","short":"fraktur e"}},"key":"1D522"},{"category":"Ll","mappings":{"default":{"default":"fraktur small f","short":"fraktur f"}},"key":"1D523"},{"category":"Ll","mappings":{"default":{"default":"fraktur small g","short":"fraktur g"}},"key":"1D524"},{"category":"Ll","mappings":{"default":{"default":"fraktur small h","short":"fraktur h"}},"key":"1D525"},{"category":"Ll","mappings":{"default":{"default":"fraktur small i","short":"fraktur i"}},"key":"1D526"},{"category":"Ll","mappings":{"default":{"default":"fraktur small j","short":"fraktur j"}},"key":"1D527"},{"category":"Ll","mappings":{"default":{"default":"fraktur small k","short":"fraktur k"}},"key":"1D528"},{"category":"Ll","mappings":{"default":{"default":"fraktur small l","short":"fraktur l"}},"key":"1D529"},{"category":"Ll","mappings":{"default":{"default":"fraktur small m","short":"fraktur m"}},"key":"1D52A"},{"category":"Ll","mappings":{"default":{"default":"fraktur small n","short":"fraktur n"}},"key":"1D52B"},{"category":"Ll","mappings":{"default":{"default":"fraktur small o","short":"fraktur o"}},"key":"1D52C"},{"category":"Ll","mappings":{"default":{"default":"fraktur small p","short":"fraktur p"}},"key":"1D52D"},{"category":"Ll","mappings":{"default":{"default":"fraktur small q","short":"fraktur q"}},"key":"1D52E"},{"category":"Ll","mappings":{"default":{"default":"fraktur small r","short":"fraktur r"}},"key":"1D52F"},{"category":"Ll","mappings":{"default":{"default":"fraktur small s","short":"fraktur s"}},"key":"1D530"},{"category":"Ll","mappings":{"default":{"default":"fraktur small t","short":"fraktur t"}},"key":"1D531"},{"category":"Ll","mappings":{"default":{"default":"fraktur small u","short":"fraktur u"}},"key":"1D532"},{"category":"Ll","mappings":{"default":{"default":"fraktur small v","short":"fraktur v"}},"key":"1D533"},{"category":"Ll","mappings":{"default":{"default":"fraktur small w","short":"fraktur w"}},"key":"1D534"},{"category":"Ll","mappings":{"default":{"default":"fraktur small x","short":"fraktur x"}},"key":"1D535"},{"category":"Ll","mappings":{"default":{"default":"fraktur small y","short":"fraktur y"}},"key":"1D536"},{"category":"Ll","mappings":{"default":{"default":"fraktur small z","short":"fraktur z"}},"key":"1D537"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-italic.js b/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-italic.js
deleted file mode 100644
index 944b57ee15..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-italic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"italic capital a","short":"italic cap a"},"mathspeak":{"default":"italic upper A"}},"key":"1D434"},{"category":"Lu","mappings":{"default":{"default":"italic capital b","short":"italic cap b"},"mathspeak":{"default":"italic upper B"}},"key":"1D435"},{"category":"Lu","mappings":{"default":{"default":"italic capital c","short":"italic cap c"},"mathspeak":{"default":"italic upper C"}},"key":"1D436"},{"category":"Lu","mappings":{"default":{"default":"italic capital d","short":"italic cap d"},"mathspeak":{"default":"italic upper D"}},"key":"1D437"},{"category":"Lu","mappings":{"default":{"default":"italic capital e","short":"italic cap e"},"mathspeak":{"default":"italic upper E"}},"key":"1D438"},{"category":"Lu","mappings":{"default":{"default":"italic capital f","short":"italic cap f"},"mathspeak":{"default":"italic upper F"}},"key":"1D439"},{"category":"Lu","mappings":{"default":{"default":"italic capital g","short":"italic cap g"},"mathspeak":{"default":"italic upper G"}},"key":"1D43A"},{"category":"Lu","mappings":{"default":{"default":"italic capital h","short":"italic cap h"},"mathspeak":{"default":"italic upper H"}},"key":"1D43B"},{"category":"Lu","mappings":{"default":{"default":"italic capital i","short":"italic cap i"},"mathspeak":{"default":"italic upper I"}},"key":"1D43C"},{"category":"Lu","mappings":{"default":{"default":"italic capital j","short":"italic cap j"},"mathspeak":{"default":"italic upper J"}},"key":"1D43D"},{"category":"Lu","mappings":{"default":{"default":"italic capital k","short":"italic cap k"},"mathspeak":{"default":"italic upper K"}},"key":"1D43E"},{"category":"Lu","mappings":{"default":{"default":"italic capital l","short":"italic cap l"},"mathspeak":{"default":"italic upper L"}},"key":"1D43F"},{"category":"Lu","mappings":{"default":{"default":"italic capital m","short":"italic cap m"},"mathspeak":{"default":"italic upper M"}},"key":"1D440"},{"category":"Lu","mappings":{"default":{"default":"italic capital n","short":"italic cap n"},"mathspeak":{"default":"italic upper N"}},"key":"1D441"},{"category":"Lu","mappings":{"default":{"default":"italic capital o","short":"italic cap o"},"mathspeak":{"default":"italic upper O"}},"key":"1D442"},{"category":"Lu","mappings":{"default":{"default":"italic capital p","short":"italic cap p"},"mathspeak":{"default":"italic upper P"}},"key":"1D443"},{"category":"Lu","mappings":{"default":{"default":"italic capital q","short":"italic cap q"},"mathspeak":{"default":"italic upper Q"}},"key":"1D444"},{"category":"Lu","mappings":{"default":{"default":"italic capital r","short":"italic cap r"},"mathspeak":{"default":"italic upper R"}},"key":"1D445"},{"category":"Lu","mappings":{"default":{"default":"italic capital s","short":"italic cap s"},"mathspeak":{"default":"italic upper S"}},"key":"1D446"},{"category":"Lu","mappings":{"default":{"default":"italic capital t","short":"italic cap t"},"mathspeak":{"default":"italic upper T"}},"key":"1D447"},{"category":"Lu","mappings":{"default":{"default":"italic capital u","short":"italic cap u"},"mathspeak":{"default":"italic upper U"}},"key":"1D448"},{"category":"Lu","mappings":{"default":{"default":"italic capital v","short":"italic cap v"},"mathspeak":{"default":"italic upper V"}},"key":"1D449"},{"category":"Lu","mappings":{"default":{"default":"italic capital w","short":"italic cap w"},"mathspeak":{"default":"italic upper W"}},"key":"1D44A"},{"category":"Lu","mappings":{"default":{"default":"italic capital x","short":"italic cap x"},"mathspeak":{"default":"italic upper X"}},"key":"1D44B"},{"category":"Lu","mappings":{"default":{"default":"italic capital y","short":"italic cap y"},"mathspeak":{"default":"italic upper Y"}},"key":"1D44C"},{"category":"Lu","mappings":{"default":{"default":"italic capital z","short":"italic cap z"},"mathspeak":{"default":"italic upper Z"}},"key":"1D44D"},{"category":"Ll","mappings":{"default":{"default":"italic small a","short":"italic a"}},"key":"1D44E"},{"category":"Ll","mappings":{"default":{"default":"italic small b","short":"italic b"}},"key":"1D44F"},{"category":"Ll","mappings":{"default":{"default":"italic small c","short":"italic c"}},"key":"1D450"},{"category":"Ll","mappings":{"default":{"default":"italic small d","short":"italic d"}},"key":"1D451"},{"category":"Ll","mappings":{"default":{"default":"italic small e","short":"italic e"}},"key":"1D452"},{"category":"Ll","mappings":{"default":{"default":"italic small f","short":"italic f"}},"key":"1D453"},{"category":"Ll","mappings":{"default":{"default":"italic small g","short":"italic g"}},"key":"1D454"},{"category":"Ll","mappings":{"default":{"default":"italic small h","short":"italic h"},"physics":{"default":"planck constant"}},"key":"210E"},{"category":"Ll","mappings":{"default":{"default":"italic small i","short":"italic i"}},"key":"1D456"},{"category":"Ll","mappings":{"default":{"default":"italic small j","short":"italic j"}},"key":"1D457"},{"category":"Ll","mappings":{"default":{"default":"italic small k","short":"italic k"}},"key":"1D458"},{"category":"Ll","mappings":{"default":{"default":"italic small l","short":"italic l"}},"key":"1D459"},{"category":"Ll","mappings":{"default":{"default":"italic small m","short":"italic m"}},"key":"1D45A"},{"category":"Ll","mappings":{"default":{"default":"italic small n","short":"italic n"}},"key":"1D45B"},{"category":"Ll","mappings":{"default":{"default":"italic small o","short":"italic o"}},"key":"1D45C"},{"category":"Ll","mappings":{"default":{"default":"italic small p","short":"italic p"}},"key":"1D45D"},{"category":"Ll","mappings":{"default":{"default":"italic small q","short":"italic q"}},"key":"1D45E"},{"category":"Ll","mappings":{"default":{"default":"italic small r","short":"italic r"}},"key":"1D45F"},{"category":"Ll","mappings":{"default":{"default":"italic small s","short":"italic s"}},"key":"1D460"},{"category":"Ll","mappings":{"default":{"default":"italic small t","short":"italic t"}},"key":"1D461"},{"category":"Ll","mappings":{"default":{"default":"italic small u","short":"italic u"}},"key":"1D462"},{"category":"Ll","mappings":{"default":{"default":"italic small v","short":"italic v"}},"key":"1D463"},{"category":"Ll","mappings":{"default":{"default":"italic small w","short":"italic w"}},"key":"1D464"},{"category":"Ll","mappings":{"default":{"default":"italic small x","short":"italic x"}},"key":"1D465"},{"category":"Ll","mappings":{"default":{"default":"italic small y","short":"italic y"}},"key":"1D466"},{"category":"Ll","mappings":{"default":{"default":"italic small z","short":"italic z"}},"key":"1D467"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-monospace.js b/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-monospace.js
deleted file mode 100644
index 1be5eb2c18..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-monospace.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"monospace capital a","short":"monospace cap a"},"mathspeak":{"default":"monospace upper A"}},"key":"1D670"},{"category":"Lu","mappings":{"default":{"default":"monospace capital b","short":"monospace cap b"},"mathspeak":{"default":"monospace upper B"}},"key":"1D671"},{"category":"Lu","mappings":{"default":{"default":"monospace capital c","short":"monospace cap c"},"mathspeak":{"default":"monospace upper C"}},"key":"1D672"},{"category":"Lu","mappings":{"default":{"default":"monospace capital d","short":"monospace cap d"},"mathspeak":{"default":"monospace upper D"}},"key":"1D673"},{"category":"Lu","mappings":{"default":{"default":"monospace capital e","short":"monospace cap e"},"mathspeak":{"default":"monospace upper E"}},"key":"1D674"},{"category":"Lu","mappings":{"default":{"default":"monospace capital f","short":"monospace cap f"},"mathspeak":{"default":"monospace upper F"}},"key":"1D675"},{"category":"Lu","mappings":{"default":{"default":"monospace capital g","short":"monospace cap g"},"mathspeak":{"default":"monospace upper G"}},"key":"1D676"},{"category":"Lu","mappings":{"default":{"default":"monospace capital h","short":"monospace cap h"},"mathspeak":{"default":"monospace upper H"}},"key":"1D677"},{"category":"Lu","mappings":{"default":{"default":"monospace capital i","short":"monospace cap i"},"mathspeak":{"default":"monospace upper I"}},"key":"1D678"},{"category":"Lu","mappings":{"default":{"default":"monospace capital j","short":"monospace cap j"},"mathspeak":{"default":"monospace upper J"}},"key":"1D679"},{"category":"Lu","mappings":{"default":{"default":"monospace capital k","short":"monospace cap k"},"mathspeak":{"default":"monospace upper K"}},"key":"1D67A"},{"category":"Lu","mappings":{"default":{"default":"monospace capital l","short":"monospace cap l"},"mathspeak":{"default":"monospace upper L"}},"key":"1D67B"},{"category":"Lu","mappings":{"default":{"default":"monospace capital m","short":"monospace cap m"},"mathspeak":{"default":"monospace upper M"}},"key":"1D67C"},{"category":"Lu","mappings":{"default":{"default":"monospace capital n","short":"monospace cap n"},"mathspeak":{"default":"monospace upper N"}},"key":"1D67D"},{"category":"Lu","mappings":{"default":{"default":"monospace capital o","short":"monospace cap o"},"mathspeak":{"default":"monospace upper O"}},"key":"1D67E"},{"category":"Lu","mappings":{"default":{"default":"monospace capital p","short":"monospace cap p"},"mathspeak":{"default":"monospace upper P"}},"key":"1D67F"},{"category":"Lu","mappings":{"default":{"default":"monospace capital q","short":"monospace cap q"},"mathspeak":{"default":"monospace upper Q"}},"key":"1D680"},{"category":"Lu","mappings":{"default":{"default":"monospace capital r","short":"monospace cap r"},"mathspeak":{"default":"monospace upper R"}},"key":"1D681"},{"category":"Lu","mappings":{"default":{"default":"monospace capital s","short":"monospace cap s"},"mathspeak":{"default":"monospace upper S"}},"key":"1D682"},{"category":"Lu","mappings":{"default":{"default":"monospace capital t","short":"monospace cap t"},"mathspeak":{"default":"monospace upper T"}},"key":"1D683"},{"category":"Lu","mappings":{"default":{"default":"monospace capital u","short":"monospace cap u"},"mathspeak":{"default":"monospace upper U"}},"key":"1D684"},{"category":"Lu","mappings":{"default":{"default":"monospace capital v","short":"monospace cap v"},"mathspeak":{"default":"monospace upper V"}},"key":"1D685"},{"category":"Lu","mappings":{"default":{"default":"monospace capital w","short":"monospace cap w"},"mathspeak":{"default":"monospace upper W"}},"key":"1D686"},{"category":"Lu","mappings":{"default":{"default":"monospace capital x","short":"monospace cap x"},"mathspeak":{"default":"monospace upper X"}},"key":"1D687"},{"category":"Lu","mappings":{"default":{"default":"monospace capital y","short":"monospace cap y"},"mathspeak":{"default":"monospace upper Y"}},"key":"1D688"},{"category":"Lu","mappings":{"default":{"default":"monospace capital z","short":"monospace cap z"},"mathspeak":{"default":"monospace upper Z"}},"key":"1D689"},{"category":"Ll","mappings":{"default":{"default":"monospace small a","short":"monospace a"}},"key":"1D68A"},{"category":"Ll","mappings":{"default":{"default":"monospace small b","short":"monospace b"}},"key":"1D68B"},{"category":"Ll","mappings":{"default":{"default":"monospace small c","short":"monospace c"}},"key":"1D68C"},{"category":"Ll","mappings":{"default":{"default":"monospace small d","short":"monospace d"}},"key":"1D68D"},{"category":"Ll","mappings":{"default":{"default":"monospace small e","short":"monospace e"}},"key":"1D68E"},{"category":"Ll","mappings":{"default":{"default":"monospace small f","short":"monospace f"}},"key":"1D68F"},{"category":"Ll","mappings":{"default":{"default":"monospace small g","short":"monospace g"}},"key":"1D690"},{"category":"Ll","mappings":{"default":{"default":"monospace small h","short":"monospace h"}},"key":"1D691"},{"category":"Ll","mappings":{"default":{"default":"monospace small i","short":"monospace i"}},"key":"1D692"},{"category":"Ll","mappings":{"default":{"default":"monospace small j","short":"monospace j"}},"key":"1D693"},{"category":"Ll","mappings":{"default":{"default":"monospace small k","short":"monospace k"}},"key":"1D694"},{"category":"Ll","mappings":{"default":{"default":"monospace small l","short":"monospace l"}},"key":"1D695"},{"category":"Ll","mappings":{"default":{"default":"monospace small m","short":"monospace m"}},"key":"1D696"},{"category":"Ll","mappings":{"default":{"default":"monospace small n","short":"monospace n"}},"key":"1D697"},{"category":"Ll","mappings":{"default":{"default":"monospace small o","short":"monospace o"}},"key":"1D698"},{"category":"Ll","mappings":{"default":{"default":"monospace small p","short":"monospace p"}},"key":"1D699"},{"category":"Ll","mappings":{"default":{"default":"monospace small q","short":"monospace q"}},"key":"1D69A"},{"category":"Ll","mappings":{"default":{"default":"monospace small r","short":"monospace r"}},"key":"1D69B"},{"category":"Ll","mappings":{"default":{"default":"monospace small s","short":"monospace s"}},"key":"1D69C"},{"category":"Ll","mappings":{"default":{"default":"monospace small t","short":"monospace t"}},"key":"1D69D"},{"category":"Ll","mappings":{"default":{"default":"monospace small u","short":"monospace u"}},"key":"1D69E"},{"category":"Ll","mappings":{"default":{"default":"monospace small v","short":"monospace v"}},"key":"1D69F"},{"category":"Ll","mappings":{"default":{"default":"monospace small w","short":"monospace w"}},"key":"1D6A0"},{"category":"Ll","mappings":{"default":{"default":"monospace small x","short":"monospace x"}},"key":"1D6A1"},{"category":"Ll","mappings":{"default":{"default":"monospace small y","short":"monospace y"}},"key":"1D6A2"},{"category":"Ll","mappings":{"default":{"default":"monospace small z","short":"monospace z"}},"key":"1D6A3"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif-bold.js b/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif-bold.js
deleted file mode 100644
index d5b39fc79a..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital a","short":"sans serif bold cap a"},"mathspeak":{"default":"sans serif bold upper A"}},"key":"1D5D4"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital b","short":"sans serif bold cap b"},"mathspeak":{"default":"sans serif bold upper B"}},"key":"1D5D5"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital c","short":"sans serif bold cap c"},"mathspeak":{"default":"sans serif bold upper C"}},"key":"1D5D6"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital d","short":"sans serif bold cap d"},"mathspeak":{"default":"sans serif bold upper D"}},"key":"1D5D7"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital e","short":"sans serif bold cap e"},"mathspeak":{"default":"sans serif bold upper E"}},"key":"1D5D8"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital f","short":"sans serif bold cap f"},"mathspeak":{"default":"sans serif bold upper F"}},"key":"1D5D9"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital g","short":"sans serif bold cap g"},"mathspeak":{"default":"sans serif bold upper G"}},"key":"1D5DA"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital h","short":"sans serif bold cap h"},"mathspeak":{"default":"sans serif bold upper H"}},"key":"1D5DB"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital i","short":"sans serif bold cap i"},"mathspeak":{"default":"sans serif bold upper I"}},"key":"1D5DC"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital j","short":"sans serif bold cap j"},"mathspeak":{"default":"sans serif bold upper J"}},"key":"1D5DD"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital k","short":"sans serif bold cap k"},"mathspeak":{"default":"sans serif bold upper K"}},"key":"1D5DE"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital l","short":"sans serif bold cap l"},"mathspeak":{"default":"sans serif bold upper L"}},"key":"1D5DF"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital m","short":"sans serif bold cap m"},"mathspeak":{"default":"sans serif bold upper M"}},"key":"1D5E0"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital n","short":"sans serif bold cap n"},"mathspeak":{"default":"sans serif bold upper N"}},"key":"1D5E1"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital o","short":"sans serif bold cap o"},"mathspeak":{"default":"sans serif bold upper O"}},"key":"1D5E2"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital p","short":"sans serif bold cap p"},"mathspeak":{"default":"sans serif bold upper P"}},"key":"1D5E3"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital q","short":"sans serif bold cap q"},"mathspeak":{"default":"sans serif bold upper Q"}},"key":"1D5E4"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital r","short":"sans serif bold cap r"},"mathspeak":{"default":"sans serif bold upper R"}},"key":"1D5E5"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital s","short":"sans serif bold cap s"},"mathspeak":{"default":"sans serif bold upper S"}},"key":"1D5E6"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital t","short":"sans serif bold cap t"},"mathspeak":{"default":"sans serif bold upper T"}},"key":"1D5E7"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital u","short":"sans serif bold cap u"},"mathspeak":{"default":"sans serif bold upper U"}},"key":"1D5E8"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital v","short":"sans serif bold cap v"},"mathspeak":{"default":"sans serif bold upper V"}},"key":"1D5E9"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital w","short":"sans serif bold cap w"},"mathspeak":{"default":"sans serif bold upper W"}},"key":"1D5EA"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital x","short":"sans serif bold cap x"},"mathspeak":{"default":"sans serif bold upper X"}},"key":"1D5EB"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital y","short":"sans serif bold cap y"},"mathspeak":{"default":"sans serif bold upper Y"}},"key":"1D5EC"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital z","short":"sans serif bold cap z"},"mathspeak":{"default":"sans serif bold upper Z"}},"key":"1D5ED"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small a","short":"sans serif bold a"}},"key":"1D5EE"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small b","short":"sans serif bold b"}},"key":"1D5EF"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small c","short":"sans serif bold c"}},"key":"1D5F0"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small d","short":"sans serif bold d"}},"key":"1D5F1"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small e","short":"sans serif bold e"}},"key":"1D5F2"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small f","short":"sans serif bold f"}},"key":"1D5F3"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small g","short":"sans serif bold g"}},"key":"1D5F4"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small h","short":"sans serif bold h"}},"key":"1D5F5"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small i","short":"sans serif bold i"}},"key":"1D5F6"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small j","short":"sans serif bold j"}},"key":"1D5F7"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small k","short":"sans serif bold k"}},"key":"1D5F8"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small l","short":"sans serif bold l"}},"key":"1D5F9"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small m","short":"sans serif bold m"}},"key":"1D5FA"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small n","short":"sans serif bold n"}},"key":"1D5FB"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small o","short":"sans serif bold o"}},"key":"1D5FC"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small p","short":"sans serif bold p"}},"key":"1D5FD"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small q","short":"sans serif bold q"}},"key":"1D5FE"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small r","short":"sans serif bold r"}},"key":"1D5FF"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small s","short":"sans serif bold s"}},"key":"1D600"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small t","short":"sans serif bold t"}},"key":"1D601"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small u","short":"sans serif bold u"}},"key":"1D602"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small v","short":"sans serif bold v"}},"key":"1D603"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small w","short":"sans serif bold w"}},"key":"1D604"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small x","short":"sans serif bold x"}},"key":"1D605"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small y","short":"sans serif bold y"}},"key":"1D606"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small z","short":"sans serif bold z"}},"key":"1D607"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif-italic.js b/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif-italic.js
deleted file mode 100644
index c12c5c14cf..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif-italic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital a","short":"sans serif italic cap a"},"mathspeak":{"default":"sans serif italic upper A"}},"key":"1D608"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital b","short":"sans serif italic cap b"},"mathspeak":{"default":"sans serif italic upper B"}},"key":"1D609"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital c","short":"sans serif italic cap c"},"mathspeak":{"default":"sans serif italic upper C"}},"key":"1D60A"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital d","short":"sans serif italic cap d"},"mathspeak":{"default":"sans serif italic upper D"}},"key":"1D60B"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital e","short":"sans serif italic cap e"},"mathspeak":{"default":"sans serif italic upper E"}},"key":"1D60C"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital f","short":"sans serif italic cap f"},"mathspeak":{"default":"sans serif italic upper F"}},"key":"1D60D"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital g","short":"sans serif italic cap g"},"mathspeak":{"default":"sans serif italic upper G"}},"key":"1D60E"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital h","short":"sans serif italic cap h"},"mathspeak":{"default":"sans serif italic upper H"}},"key":"1D60F"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital i","short":"sans serif italic cap i"},"mathspeak":{"default":"sans serif italic upper I"}},"key":"1D610"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital j","short":"sans serif italic cap j"},"mathspeak":{"default":"sans serif italic upper J"}},"key":"1D611"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital k","short":"sans serif italic cap k"},"mathspeak":{"default":"sans serif italic upper K"}},"key":"1D612"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital l","short":"sans serif italic cap l"},"mathspeak":{"default":"sans serif italic upper L"}},"key":"1D613"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital m","short":"sans serif italic cap m"},"mathspeak":{"default":"sans serif italic upper M"}},"key":"1D614"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital n","short":"sans serif italic cap n"},"mathspeak":{"default":"sans serif italic upper N"}},"key":"1D615"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital o","short":"sans serif italic cap o"},"mathspeak":{"default":"sans serif italic upper O"}},"key":"1D616"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital p","short":"sans serif italic cap p"},"mathspeak":{"default":"sans serif italic upper P"}},"key":"1D617"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital q","short":"sans serif italic cap q"},"mathspeak":{"default":"sans serif italic upper Q"}},"key":"1D618"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital r","short":"sans serif italic cap r"},"mathspeak":{"default":"sans serif italic upper R"}},"key":"1D619"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital s","short":"sans serif italic cap s"},"mathspeak":{"default":"sans serif italic upper S"}},"key":"1D61A"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital t","short":"sans serif italic cap t"},"mathspeak":{"default":"sans serif italic upper T"}},"key":"1D61B"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital u","short":"sans serif italic cap u"},"mathspeak":{"default":"sans serif italic upper U"}},"key":"1D61C"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital v","short":"sans serif italic cap v"},"mathspeak":{"default":"sans serif italic upper V"}},"key":"1D61D"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital w","short":"sans serif italic cap w"},"mathspeak":{"default":"sans serif italic upper W"}},"key":"1D61E"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital x","short":"sans serif italic cap x"},"mathspeak":{"default":"sans serif italic upper X"}},"key":"1D61F"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital y","short":"sans serif italic cap y"},"mathspeak":{"default":"sans serif italic upper Y"}},"key":"1D620"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital z","short":"sans serif italic cap z"},"mathspeak":{"default":"sans serif italic upper Z"}},"key":"1D621"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small a","short":"sans serif italic a"}},"key":"1D622"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small b","short":"sans serif italic b"}},"key":"1D623"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small c","short":"sans serif italic c"}},"key":"1D624"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small d","short":"sans serif italic d"}},"key":"1D625"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small e","short":"sans serif italic e"}},"key":"1D626"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small f","short":"sans serif italic f"}},"key":"1D627"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small g","short":"sans serif italic g"}},"key":"1D628"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small h","short":"sans serif italic h"}},"key":"1D629"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small i","short":"sans serif italic i"}},"key":"1D62A"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small j","short":"sans serif italic j"}},"key":"1D62B"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small k","short":"sans serif italic k"}},"key":"1D62C"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small l","short":"sans serif italic l"}},"key":"1D62D"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small m","short":"sans serif italic m"}},"key":"1D62E"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small n","short":"sans serif italic n"}},"key":"1D62F"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small o","short":"sans serif italic o"}},"key":"1D630"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small p","short":"sans serif italic p"}},"key":"1D631"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small q","short":"sans serif italic q"}},"key":"1D632"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small r","short":"sans serif italic r"}},"key":"1D633"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small s","short":"sans serif italic s"}},"key":"1D634"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small t","short":"sans serif italic t"}},"key":"1D635"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small u","short":"sans serif italic u"}},"key":"1D636"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small v","short":"sans serif italic v"}},"key":"1D637"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small w","short":"sans serif italic w"}},"key":"1D638"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small x","short":"sans serif italic x"}},"key":"1D639"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small y","short":"sans serif italic y"}},"key":"1D63A"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small z","short":"sans serif italic z"}},"key":"1D63B"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif.js b/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif.js
deleted file mode 100644
index f3b69ce8dc..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital a","short":"sans serif cap a"},"mathspeak":{"default":"sans serif upper A"}},"key":"1D5A0"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital b","short":"sans serif cap b"},"mathspeak":{"default":"sans serif upper B"}},"key":"1D5A1"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital c","short":"sans serif cap c"},"mathspeak":{"default":"sans serif upper C"}},"key":"1D5A2"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital d","short":"sans serif cap d"},"mathspeak":{"default":"sans serif upper D"}},"key":"1D5A3"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital e","short":"sans serif cap e"},"mathspeak":{"default":"sans serif upper E"}},"key":"1D5A4"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital f","short":"sans serif cap f"},"mathspeak":{"default":"sans serif upper F"}},"key":"1D5A5"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital g","short":"sans serif cap g"},"mathspeak":{"default":"sans serif upper G"}},"key":"1D5A6"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital h","short":"sans serif cap h"},"mathspeak":{"default":"sans serif upper H"}},"key":"1D5A7"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital i","short":"sans serif cap i"},"mathspeak":{"default":"sans serif upper I"}},"key":"1D5A8"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital j","short":"sans serif cap j"},"mathspeak":{"default":"sans serif upper J"}},"key":"1D5A9"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital k","short":"sans serif cap k"},"mathspeak":{"default":"sans serif upper K"}},"key":"1D5AA"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital l","short":"sans serif cap l"},"mathspeak":{"default":"sans serif upper L"}},"key":"1D5AB"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital m","short":"sans serif cap m"},"mathspeak":{"default":"sans serif upper M"}},"key":"1D5AC"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital n","short":"sans serif cap n"},"mathspeak":{"default":"sans serif upper N"}},"key":"1D5AD"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital o","short":"sans serif cap o"},"mathspeak":{"default":"sans serif upper O"}},"key":"1D5AE"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital p","short":"sans serif cap p"},"mathspeak":{"default":"sans serif upper P"}},"key":"1D5AF"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital q","short":"sans serif cap q"},"mathspeak":{"default":"sans serif upper Q"}},"key":"1D5B0"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital r","short":"sans serif cap r"},"mathspeak":{"default":"sans serif upper R"}},"key":"1D5B1"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital s","short":"sans serif cap s"},"mathspeak":{"default":"sans serif upper S"}},"key":"1D5B2"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital t","short":"sans serif cap t"},"mathspeak":{"default":"sans serif upper T"}},"key":"1D5B3"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital u","short":"sans serif cap u"},"mathspeak":{"default":"sans serif upper U"}},"key":"1D5B4"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital v","short":"sans serif cap v"},"mathspeak":{"default":"sans serif upper V"}},"key":"1D5B5"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital w","short":"sans serif cap w"},"mathspeak":{"default":"sans serif upper W"}},"key":"1D5B6"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital x","short":"sans serif cap x"},"mathspeak":{"default":"sans serif upper X"}},"key":"1D5B7"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital y","short":"sans serif cap y"},"mathspeak":{"default":"sans serif upper Y"}},"key":"1D5B8"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital z","short":"sans serif cap z"},"mathspeak":{"default":"sans serif upper Z"}},"key":"1D5B9"},{"category":"Ll","mappings":{"default":{"default":"sans serif small a","short":"sans serif a"}},"key":"1D5BA"},{"category":"Ll","mappings":{"default":{"default":"sans serif small b","short":"sans serif b"}},"key":"1D5BB"},{"category":"Ll","mappings":{"default":{"default":"sans serif small c","short":"sans serif c"}},"key":"1D5BC"},{"category":"Ll","mappings":{"default":{"default":"sans serif small d","short":"sans serif d"}},"key":"1D5BD"},{"category":"Ll","mappings":{"default":{"default":"sans serif small e","short":"sans serif e"}},"key":"1D5BE"},{"category":"Ll","mappings":{"default":{"default":"sans serif small f","short":"sans serif f"}},"key":"1D5BF"},{"category":"Ll","mappings":{"default":{"default":"sans serif small g","short":"sans serif g"}},"key":"1D5C0"},{"category":"Ll","mappings":{"default":{"default":"sans serif small h","short":"sans serif h"}},"key":"1D5C1"},{"category":"Ll","mappings":{"default":{"default":"sans serif small i","short":"sans serif i"}},"key":"1D5C2"},{"category":"Ll","mappings":{"default":{"default":"sans serif small j","short":"sans serif j"}},"key":"1D5C3"},{"category":"Ll","mappings":{"default":{"default":"sans serif small k","short":"sans serif k"}},"key":"1D5C4"},{"category":"Ll","mappings":{"default":{"default":"sans serif small l","short":"sans serif l"}},"key":"1D5C5"},{"category":"Ll","mappings":{"default":{"default":"sans serif small m","short":"sans serif m"}},"key":"1D5C6"},{"category":"Ll","mappings":{"default":{"default":"sans serif small n","short":"sans serif n"}},"key":"1D5C7"},{"category":"Ll","mappings":{"default":{"default":"sans serif small o","short":"sans serif o"}},"key":"1D5C8"},{"category":"Ll","mappings":{"default":{"default":"sans serif small p","short":"sans serif p"}},"key":"1D5C9"},{"category":"Ll","mappings":{"default":{"default":"sans serif small q","short":"sans serif q"}},"key":"1D5CA"},{"category":"Ll","mappings":{"default":{"default":"sans serif small r","short":"sans serif r"}},"key":"1D5CB"},{"category":"Ll","mappings":{"default":{"default":"sans serif small s","short":"sans serif s"}},"key":"1D5CC"},{"category":"Ll","mappings":{"default":{"default":"sans serif small t","short":"sans serif t"}},"key":"1D5CD"},{"category":"Ll","mappings":{"default":{"default":"sans serif small u","short":"sans serif u"}},"key":"1D5CE"},{"category":"Ll","mappings":{"default":{"default":"sans serif small v","short":"sans serif v"}},"key":"1D5CF"},{"category":"Ll","mappings":{"default":{"default":"sans serif small w","short":"sans serif w"}},"key":"1D5D0"},{"category":"Ll","mappings":{"default":{"default":"sans serif small x","short":"sans serif x"}},"key":"1D5D1"},{"category":"Ll","mappings":{"default":{"default":"sans serif small y","short":"sans serif y"}},"key":"1D5D2"},{"category":"Ll","mappings":{"default":{"default":"sans serif small z","short":"sans serif z"}},"key":"1D5D3"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-script.js b/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-script.js
deleted file mode 100644
index 277aae7aaa..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-script.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"script capital a","short":"script cap a"},"mathspeak":{"default":"script upper A"}},"key":"1D49C"},{"category":"Lu","mappings":{"default":{"default":"script capital b","short":"script cap b"},"mathspeak":{"default":"script upper B"}},"key":"212C"},{"category":"Lu","mappings":{"default":{"default":"script capital c","short":"script cap c"},"mathspeak":{"default":"script upper C"}},"key":"1D49E"},{"category":"Lu","mappings":{"default":{"default":"script capital d","short":"script cap d"},"mathspeak":{"default":"script upper D"}},"key":"1D49F"},{"category":"Lu","mappings":{"default":{"default":"script capital e","short":"script cap e"},"mathspeak":{"default":"script upper E"}},"key":"2130"},{"category":"Lu","mappings":{"default":{"default":"script capital f","short":"script cap f"},"mathspeak":{"default":"script upper F"}},"key":"2131"},{"category":"Lu","mappings":{"default":{"default":"script capital g","short":"script cap g"},"mathspeak":{"default":"script upper G"}},"key":"1D4A2"},{"category":"Lu","mappings":{"default":{"default":"script capital h","short":"script cap h"},"mathspeak":{"default":"script upper H"}},"key":"210B"},{"category":"Lu","mappings":{"default":{"default":"script capital i","short":"script cap i"},"mathspeak":{"default":"script upper I"}},"key":"2110"},{"category":"Lu","mappings":{"default":{"default":"script capital j","short":"script cap j"},"mathspeak":{"default":"script upper J"}},"key":"1D4A5"},{"category":"Lu","mappings":{"default":{"default":"script capital k","short":"script cap k"},"mathspeak":{"default":"script upper K"}},"key":"1D4A6"},{"category":"Lu","mappings":{"default":{"default":"script capital l","short":"script cap l"},"mathspeak":{"default":"script upper L"}},"key":"2112"},{"category":"Lu","mappings":{"default":{"default":"script capital m","short":"script cap m"},"mathspeak":{"default":"script upper M"}},"key":"2133"},{"category":"Lu","mappings":{"default":{"default":"script capital n","short":"script cap n"},"mathspeak":{"default":"script upper N"}},"key":"1D4A9"},{"category":"Lu","mappings":{"default":{"default":"script capital o","short":"script cap o"},"mathspeak":{"default":"script upper O"}},"key":"1D4AA"},{"category":"Lu","mappings":{"default":{"default":"script capital p","short":"script cap p"},"mathspeak":{"default":"script upper P"}},"key":"1D4AB"},{"category":"Lu","mappings":{"default":{"default":"script capital q","short":"script cap q"},"mathspeak":{"default":"script upper Q"}},"key":"1D4AC"},{"category":"Lu","mappings":{"default":{"default":"script capital r","short":"script cap r"},"mathspeak":{"default":"script upper R"}},"key":"211B"},{"category":"Lu","mappings":{"default":{"default":"script capital s","short":"script cap s"},"mathspeak":{"default":"script upper S"}},"key":"1D4AE"},{"category":"Lu","mappings":{"default":{"default":"script capital t","short":"script cap t"},"mathspeak":{"default":"script upper T"}},"key":"1D4AF"},{"category":"Lu","mappings":{"default":{"default":"script capital u","short":"script cap u"},"mathspeak":{"default":"script upper U"}},"key":"1D4B0"},{"category":"Lu","mappings":{"default":{"default":"script capital v","short":"script cap v"},"mathspeak":{"default":"script upper V"}},"key":"1D4B1"},{"category":"Lu","mappings":{"default":{"default":"script capital w","short":"script cap w"},"mathspeak":{"default":"script upper W"}},"key":"1D4B2"},{"category":"Lu","mappings":{"default":{"default":"script capital x","short":"script cap x"},"mathspeak":{"default":"script upper X"}},"key":"1D4B3"},{"category":"Lu","mappings":{"default":{"default":"script capital y","short":"script cap y"},"mathspeak":{"default":"script upper Y"}},"key":"1D4B4"},{"category":"Lu","mappings":{"default":{"default":"script capital z","short":"script cap z"},"mathspeak":{"default":"script upper Z"}},"key":"1D4B5"},{"category":"Ll","mappings":{"default":{"default":"script small a","short":"script a"}},"key":"1D4B6"},{"category":"Ll","mappings":{"default":{"default":"script small b","short":"script b"}},"key":"1D4B7"},{"category":"Ll","mappings":{"default":{"default":"script small c","short":"script c"}},"key":"1D4B8"},{"category":"Ll","mappings":{"default":{"default":"script small d","short":"script d"}},"key":"1D4B9"},{"category":"Ll","mappings":{"default":{"default":"script small e","short":"script e"}},"key":"212F"},{"category":"Ll","mappings":{"default":{"default":"script small f","short":"script f"}},"key":"1D4BB"},{"category":"Ll","mappings":{"default":{"default":"script small g","short":"script g"}},"key":"210A"},{"category":"Ll","mappings":{"default":{"default":"script small h","short":"script h"}},"key":"1D4BD"},{"category":"Ll","mappings":{"default":{"default":"script small i","short":"script i"}},"key":"1D4BE"},{"category":"Ll","mappings":{"default":{"default":"script small j","short":"script j"}},"key":"1D4BF"},{"category":"Ll","mappings":{"default":{"default":"script small k","short":"script k"}},"key":"1D4C0"},{"category":"Ll","mappings":{"default":{"default":"script small l","short":"script l"}},"key":"1D4C1"},{"category":"Ll","mappings":{"default":{"default":"script small m","short":"script m"}},"key":"1D4C2"},{"category":"Ll","mappings":{"default":{"default":"script small n","short":"script n"}},"key":"1D4C3"},{"category":"Ll","mappings":{"default":{"default":"script small o","short":"script o"}},"key":"2134"},{"category":"Ll","mappings":{"default":{"default":"script small p","short":"script p"}},"key":"1D4C5"},{"category":"Ll","mappings":{"default":{"default":"script small q","short":"script q"}},"key":"1D4C6"},{"category":"Ll","mappings":{"default":{"default":"script small r","short":"script r"}},"key":"1D4C7"},{"category":"Ll","mappings":{"default":{"default":"script small s","short":"script s"}},"key":"1D4C8"},{"category":"Ll","mappings":{"default":{"default":"script small t","short":"script t"}},"key":"1D4C9"},{"category":"Ll","mappings":{"default":{"default":"script small u","short":"script u"}},"key":"1D4CA"},{"category":"Ll","mappings":{"default":{"default":"script small v","short":"script v"}},"key":"1D4CB"},{"category":"Ll","mappings":{"default":{"default":"script small w","short":"script w"}},"key":"1D4CC"},{"category":"Ll","mappings":{"default":{"default":"script small x","short":"script x"}},"key":"1D4CD"},{"category":"Ll","mappings":{"default":{"default":"script small y","short":"script y"}},"key":"1D4CE"},{"category":"Ll","mappings":{"default":{"default":"script small z","short":"script z"}},"key":"1D4CF"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-rest.js b/extensions/a11y/mathmaps/en/symbols/latin-rest.js
deleted file mode 100644
index a1f47f6a2c..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-rest.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Mn","key":"0363","mappings":{"default":{"default":"combining latin small letter a","short":"combining a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"combining latin small letter e","short":"combining e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"combining latin small letter i","short":"combining i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"combining latin small letter o","short":"combining o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"combining latin small letter u","short":"combining u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"combining latin small letter c","short":"combining c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"combining latin small letter d","short":"combining d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"combining latin small letter h","short":"combining h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"combining latin small letter m","short":"combining m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"combining latin small letter r","short":"combining r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"combining latin small letter t","short":"combining t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"combining latin small letter v","short":"combining v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"combining latin small letter x","short":"combining x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"latin subscript small letter i","short":"subscript i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"latin subscript small letter r","short":"subscript r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"latin subscript small letter u","short":"subscript u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"latin subscript small letter v","short":"subscript v"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"combining latin small letter r below","short":"combining r below"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"combining latin small letter flattened open a above","short":"combining flattened open a above"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"combining latin small letter ae","short":"combining ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"combining latin small letter ao","short":"combining ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"combining latin small letter av","short":"combining av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"combining latin small letter c cedilla","short":"combining c cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"combining latin small letter insular d","short":"combining insular d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"combining latin small letter eth","short":"combining eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"combining latin small letter g","short":"combining g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"combining latin letter small capital g","short":"combining small cap g"},"mathspeak":{"default":"combining small upper G"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"combining latin small letter k","short":"combining k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"combining latin small letter l","short":"combining l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"combining latin letter small capital l","short":"combining small cap l"},"mathspeak":{"default":"combining small upper L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"combining latin letter small capital m","short":"combining small cap m"},"mathspeak":{"default":"combining small upper M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"combining latin small letter n","short":"combining n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"combining latin letter small capital n","short":"combining small cap n"},"mathspeak":{"default":"combining small upper N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"combining latin letter small capital r","short":"combining small cap r"},"mathspeak":{"default":"combining small upper R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"combining latin small letter r rotunda","short":"combining r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"combining latin small letter s","short":"combining s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"combining latin small letter long s","short":"combining long s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"combining latin small letter z","short":"combining z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"superscript latin small letter i","short":"superscript i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"superscript latin small letter n","short":"superscript n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"latin subscript small letter a","short":"subscript a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"latin subscript small letter e","short":"subscript e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"latin subscript small letter o","short":"subscript o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"latin subscript small letter x","short":"subscript x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"latin subscript small letter schwa","short":"subscript schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"latin subscript small letter h","short":"subscript h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"latin subscript small letter k","short":"subscript k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"latin subscript small letter l","short":"subscript l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"latin subscript small letter m","short":"subscript m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"latin subscript small letter n","short":"subscript n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"latin subscript small letter p","short":"subscript p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"latin subscript small letter s","short":"subscript s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"latin subscript small letter t","short":"subscript t"}}},{"category":"So","key":"249C","mappings":{"default":{"default":"parenthesized latin small letter a","short":"parenthesized a"}}},{"category":"So","key":"249D","mappings":{"default":{"default":"parenthesized latin small letter b","short":"parenthesized b"}}},{"category":"So","key":"249E","mappings":{"default":{"default":"parenthesized latin small letter c","short":"parenthesized c"}}},{"category":"So","key":"249F","mappings":{"default":{"default":"parenthesized latin small letter d","short":"parenthesized d"}}},{"category":"So","key":"24A0","mappings":{"default":{"default":"parenthesized latin small letter e","short":"parenthesized e"}}},{"category":"So","key":"24A1","mappings":{"default":{"default":"parenthesized latin small letter f","short":"parenthesized f"}}},{"category":"So","key":"24A2","mappings":{"default":{"default":"parenthesized latin small letter g","short":"parenthesized g"}}},{"category":"So","key":"24A3","mappings":{"default":{"default":"parenthesized latin small letter h","short":"parenthesized h"}}},{"category":"So","key":"24A4","mappings":{"default":{"default":"parenthesized latin small letter i","short":"parenthesized i"}}},{"category":"So","key":"24A5","mappings":{"default":{"default":"parenthesized latin small letter j","short":"parenthesized j"}}},{"category":"So","key":"24A6","mappings":{"default":{"default":"parenthesized latin small letter k","short":"parenthesized k"}}},{"category":"So","key":"24A7","mappings":{"default":{"default":"parenthesized latin small letter l","short":"parenthesized l"}}},{"category":"So","key":"24A8","mappings":{"default":{"default":"parenthesized latin small letter m","short":"parenthesized m"}}},{"category":"So","key":"24A9","mappings":{"default":{"default":"parenthesized latin small letter n","short":"parenthesized n"}}},{"category":"So","key":"24AA","mappings":{"default":{"default":"parenthesized latin small letter o","short":"parenthesized o"}}},{"category":"So","key":"24AB","mappings":{"default":{"default":"parenthesized latin small letter p","short":"parenthesized p"}}},{"category":"So","key":"24AC","mappings":{"default":{"default":"parenthesized latin small letter q","short":"parenthesized q"}}},{"category":"So","key":"24AD","mappings":{"default":{"default":"parenthesized latin small letter r","short":"parenthesized r"}}},{"category":"So","key":"24AE","mappings":{"default":{"default":"parenthesized latin small letter s","short":"parenthesized s"}}},{"category":"So","key":"24AF","mappings":{"default":{"default":"parenthesized latin small letter t","short":"parenthesized t"}}},{"category":"So","key":"24B0","mappings":{"default":{"default":"parenthesized latin small letter u","short":"parenthesized u"}}},{"category":"So","key":"24B1","mappings":{"default":{"default":"parenthesized latin small letter v","short":"parenthesized v"}}},{"category":"So","key":"24B2","mappings":{"default":{"default":"parenthesized latin small letter w","short":"parenthesized w"}}},{"category":"So","key":"24B3","mappings":{"default":{"default":"parenthesized latin small letter x","short":"parenthesized x"}}},{"category":"So","key":"24B4","mappings":{"default":{"default":"parenthesized latin small letter y","short":"parenthesized y"}}},{"category":"So","key":"24B5","mappings":{"default":{"default":"parenthesized latin small letter z","short":"parenthesized z"}}},{"category":"So","key":"24B6","mappings":{"default":{"default":"circled latin capital letter a","short":"circled cap a"},"mathspeak":{"default":"circled upper A"}}},{"category":"So","key":"24B7","mappings":{"default":{"default":"circled latin capital letter b","short":"circled cap b"},"mathspeak":{"default":"circled upper B"}}},{"category":"So","key":"24B8","mappings":{"default":{"default":"circled latin capital letter c","short":"circled cap c"},"mathspeak":{"default":"circled upper C"}}},{"category":"So","key":"24B9","mappings":{"default":{"default":"circled latin capital letter d","short":"circled cap d"},"mathspeak":{"default":"circled upper D"}}},{"category":"So","key":"24BA","mappings":{"default":{"default":"circled latin capital letter e","short":"circled cap e"},"mathspeak":{"default":"circled upper E"}}},{"category":"So","key":"24BB","mappings":{"default":{"default":"circled latin capital letter f","short":"circled cap f"},"mathspeak":{"default":"circled upper F"}}},{"category":"So","key":"24BC","mappings":{"default":{"default":"circled latin capital letter g","short":"circled cap g"},"mathspeak":{"default":"circled upper G"}}},{"category":"So","key":"24BD","mappings":{"default":{"default":"circled latin capital letter h","short":"circled cap h"},"mathspeak":{"default":"circled upper H"}}},{"category":"So","key":"24BE","mappings":{"default":{"default":"circled latin capital letter i","short":"circled cap i"},"mathspeak":{"default":"circled upper I"}}},{"category":"So","key":"24BF","mappings":{"default":{"default":"circled latin capital letter j","short":"circled cap j"},"mathspeak":{"default":"circled upper J"}}},{"category":"So","key":"24C0","mappings":{"default":{"default":"circled latin capital letter k","short":"circled cap k"},"mathspeak":{"default":"circled upper K"}}},{"category":"So","key":"24C1","mappings":{"default":{"default":"circled latin capital letter l","short":"circled cap l"},"mathspeak":{"default":"circled upper L"}}},{"category":"So","key":"24C2","mappings":{"default":{"default":"circled latin capital letter m","short":"circled cap m"},"mathspeak":{"default":"circled upper M"}}},{"category":"So","key":"24C3","mappings":{"default":{"default":"circled latin capital letter n","short":"circled cap n"},"mathspeak":{"default":"circled upper N"}}},{"category":"So","key":"24C4","mappings":{"default":{"default":"circled latin capital letter o","short":"circled cap o"},"mathspeak":{"default":"circled upper O"}}},{"category":"So","key":"24C5","mappings":{"default":{"default":"circled latin capital letter p","short":"circled cap p"},"mathspeak":{"default":"circled upper P"}}},{"category":"So","key":"24C6","mappings":{"default":{"default":"circled latin capital letter q","short":"circled cap q"},"mathspeak":{"default":"circled upper Q"}}},{"category":"So","key":"24C7","mappings":{"default":{"default":"circled latin capital letter r","short":"circled cap r"},"mathspeak":{"default":"circled upper R"}}},{"category":"So","key":"24C8","mappings":{"default":{"default":"circled latin capital letter s","short":"circled cap s"},"mathspeak":{"default":"circled upper S"}}},{"category":"So","key":"24C9","mappings":{"default":{"default":"circled latin capital letter t","short":"circled cap t"},"mathspeak":{"default":"circled upper T"}}},{"category":"So","key":"24CA","mappings":{"default":{"default":"circled latin capital letter u","short":"circled cap u"},"mathspeak":{"default":"circled upper U"}}},{"category":"So","key":"24CB","mappings":{"default":{"default":"circled latin capital letter v","short":"circled cap v"},"mathspeak":{"default":"circled upper V"}}},{"category":"So","key":"24CC","mappings":{"default":{"default":"circled latin capital letter w","short":"circled cap w"},"mathspeak":{"default":"circled upper W"}}},{"category":"So","key":"24CD","mappings":{"default":{"default":"circled latin capital letter x","short":"circled cap x"},"mathspeak":{"default":"circled upper X"}}},{"category":"So","key":"24CE","mappings":{"default":{"default":"circled latin capital letter y","short":"circled cap y"},"mathspeak":{"default":"circled upper Y"}}},{"category":"So","key":"24CF","mappings":{"default":{"default":"circled latin capital letter z","short":"circled cap z"},"mathspeak":{"default":"circled upper Z"}}},{"category":"So","key":"24D0","mappings":{"default":{"default":"circled latin small letter a","short":"circled a"}}},{"category":"So","key":"24D1","mappings":{"default":{"default":"circled latin small letter b","short":"circled b"}}},{"category":"So","key":"24D2","mappings":{"default":{"default":"circled latin small letter c","short":"circled c"}}},{"category":"So","key":"24D3","mappings":{"default":{"default":"circled latin small letter d","short":"circled d"}}},{"category":"So","key":"24D4","mappings":{"default":{"default":"circled latin small letter e","short":"circled e"}}},{"category":"So","key":"24D5","mappings":{"default":{"default":"circled latin small letter f","short":"circled f"}}},{"category":"So","key":"24D6","mappings":{"default":{"default":"circled latin small letter g","short":"circled g"}}},{"category":"So","key":"24D7","mappings":{"default":{"default":"circled latin small letter h","short":"circled h"}}},{"category":"So","key":"24D8","mappings":{"default":{"default":"circled latin small letter i","short":"circled i"}}},{"category":"So","key":"24D9","mappings":{"default":{"default":"circled latin small letter j","short":"circled j"}}},{"category":"So","key":"24DA","mappings":{"default":{"default":"circled latin small letter k","short":"circled k"}}},{"category":"So","key":"24DB","mappings":{"default":{"default":"circled latin small letter l","short":"circled l"}}},{"category":"So","key":"24DC","mappings":{"default":{"default":"circled latin small letter m","short":"circled m"}}},{"category":"So","key":"24DD","mappings":{"default":{"default":"circled latin small letter n","short":"circled n"}}},{"category":"So","key":"24DE","mappings":{"default":{"default":"circled latin small letter o","short":"circled o"}}},{"category":"So","key":"24DF","mappings":{"default":{"default":"circled latin small letter p","short":"circled p"}}},{"category":"So","key":"24E0","mappings":{"default":{"default":"circled latin small letter q","short":"circled q"}}},{"category":"So","key":"24E1","mappings":{"default":{"default":"circled latin small letter r","short":"circled r"}}},{"category":"So","key":"24E2","mappings":{"default":{"default":"circled latin small letter s","short":"circled s"}}},{"category":"So","key":"24E3","mappings":{"default":{"default":"circled latin small letter t","short":"circled t"}}},{"category":"So","key":"24E4","mappings":{"default":{"default":"circled latin small letter u","short":"circled u"}}},{"category":"So","key":"24E5","mappings":{"default":{"default":"circled latin small letter v","short":"circled v"}}},{"category":"So","key":"24E6","mappings":{"default":{"default":"circled latin small letter w","short":"circled w"}}},{"category":"So","key":"24E7","mappings":{"default":{"default":"circled latin small letter x","short":"circled x"}}},{"category":"So","key":"24E8","mappings":{"default":{"default":"circled latin small letter y","short":"circled y"}}},{"category":"So","key":"24E9","mappings":{"default":{"default":"circled latin small letter z","short":"circled z"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"latin subscript small letter j","short":"subscript j"}}},{"category":"So","key":"1F110","mappings":{"default":{"default":"parenthesized latin capital letter a","short":"parenthesized cap a"},"mathspeak":{"default":"parenthesized upper A"}}},{"category":"So","key":"1F111","mappings":{"default":{"default":"parenthesized latin capital letter b","short":"parenthesized cap b"},"mathspeak":{"default":"parenthesized upper B"}}},{"category":"So","key":"1F112","mappings":{"default":{"default":"parenthesized latin capital letter c","short":"parenthesized cap c"},"mathspeak":{"default":"parenthesized upper C"}}},{"category":"So","key":"1F113","mappings":{"default":{"default":"parenthesized latin capital letter d","short":"parenthesized cap d"},"mathspeak":{"default":"parenthesized upper D"}}},{"category":"So","key":"1F114","mappings":{"default":{"default":"parenthesized latin capital letter e","short":"parenthesized cap e"},"mathspeak":{"default":"parenthesized upper E"}}},{"category":"So","key":"1F115","mappings":{"default":{"default":"parenthesized latin capital letter f","short":"parenthesized cap f"},"mathspeak":{"default":"parenthesized upper F"}}},{"category":"So","key":"1F116","mappings":{"default":{"default":"parenthesized latin capital letter g","short":"parenthesized cap g"},"mathspeak":{"default":"parenthesized upper G"}}},{"category":"So","key":"1F117","mappings":{"default":{"default":"parenthesized latin capital letter h","short":"parenthesized cap h"},"mathspeak":{"default":"parenthesized upper H"}}},{"category":"So","key":"1F118","mappings":{"default":{"default":"parenthesized latin capital letter i","short":"parenthesized cap i"},"mathspeak":{"default":"parenthesized upper I"}}},{"category":"So","key":"1F119","mappings":{"default":{"default":"parenthesized latin capital letter j","short":"parenthesized cap j"},"mathspeak":{"default":"parenthesized upper J"}}},{"category":"So","key":"1F11A","mappings":{"default":{"default":"parenthesized latin capital letter k","short":"parenthesized cap k"},"mathspeak":{"default":"parenthesized upper K"}}},{"category":"So","key":"1F11B","mappings":{"default":{"default":"parenthesized latin capital letter l","short":"parenthesized cap l"},"mathspeak":{"default":"parenthesized upper L"}}},{"category":"So","key":"1F11C","mappings":{"default":{"default":"parenthesized latin capital letter m","short":"parenthesized cap m"},"mathspeak":{"default":"parenthesized upper M"}}},{"category":"So","key":"1F11D","mappings":{"default":{"default":"parenthesized latin capital letter n","short":"parenthesized cap n"},"mathspeak":{"default":"parenthesized upper N"}}},{"category":"So","key":"1F11E","mappings":{"default":{"default":"parenthesized latin capital letter o","short":"parenthesized cap o"},"mathspeak":{"default":"parenthesized upper O"}}},{"category":"So","key":"1F11F","mappings":{"default":{"default":"parenthesized latin capital letter p","short":"parenthesized cap p"},"mathspeak":{"default":"parenthesized upper P"}}},{"category":"So","key":"1F120","mappings":{"default":{"default":"parenthesized latin capital letter q","short":"parenthesized cap q"},"mathspeak":{"default":"parenthesized upper Q"}}},{"category":"So","key":"1F121","mappings":{"default":{"default":"parenthesized latin capital letter r","short":"parenthesized cap r"},"mathspeak":{"default":"parenthesized upper R"}}},{"category":"So","key":"1F122","mappings":{"default":{"default":"parenthesized latin capital letter s","short":"parenthesized cap s"},"mathspeak":{"default":"parenthesized upper S"}}},{"category":"So","key":"1F123","mappings":{"default":{"default":"parenthesized latin capital letter t","short":"parenthesized cap t"},"mathspeak":{"default":"parenthesized upper T"}}},{"category":"So","key":"1F124","mappings":{"default":{"default":"parenthesized latin capital letter u","short":"parenthesized cap u"},"mathspeak":{"default":"parenthesized upper U"}}},{"category":"So","key":"1F125","mappings":{"default":{"default":"parenthesized latin capital letter v","short":"parenthesized cap v"},"mathspeak":{"default":"parenthesized upper V"}}},{"category":"So","key":"1F126","mappings":{"default":{"default":"parenthesized latin capital letter w","short":"parenthesized cap w"},"mathspeak":{"default":"parenthesized upper W"}}},{"category":"So","key":"1F127","mappings":{"default":{"default":"parenthesized latin capital letter x","short":"parenthesized cap x"},"mathspeak":{"default":"parenthesized upper X"}}},{"category":"So","key":"1F128","mappings":{"default":{"default":"parenthesized latin capital letter y","short":"parenthesized cap y"},"mathspeak":{"default":"parenthesized upper Y"}}},{"category":"So","key":"1F129","mappings":{"default":{"default":"parenthesized latin capital letter z","short":"parenthesized cap z"},"mathspeak":{"default":"parenthesized upper Z"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"tortoise shell bracketed latin capital letter s","short":"tortoise shell bracketed cap s"},"mathspeak":{"default":"tortoise shell bracketed upper S"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"circled italic latin capital letter c","short":"circled italic cap c"},"mathspeak":{"default":"circled italic upper C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"circled italic latin capital letter r","short":"circled italic cap r"},"mathspeak":{"default":"circled italic upper R"}}},{"category":"So","key":"1F130","mappings":{"default":{"default":"squared latin capital letter a","short":"squared cap a"},"mathspeak":{"default":"squared upper A"}}},{"category":"So","key":"1F131","mappings":{"default":{"default":"squared latin capital letter b","short":"squared cap b"},"mathspeak":{"default":"squared upper B"}}},{"category":"So","key":"1F132","mappings":{"default":{"default":"squared latin capital letter c","short":"squared cap c"},"mathspeak":{"default":"squared upper C"}}},{"category":"So","key":"1F133","mappings":{"default":{"default":"squared latin capital letter d","short":"squared cap d"},"mathspeak":{"default":"squared upper D"}}},{"category":"So","key":"1F134","mappings":{"default":{"default":"squared latin capital letter e","short":"squared cap e"},"mathspeak":{"default":"squared upper E"}}},{"category":"So","key":"1F135","mappings":{"default":{"default":"squared latin capital letter f","short":"squared cap f"},"mathspeak":{"default":"squared upper F"}}},{"category":"So","key":"1F136","mappings":{"default":{"default":"squared latin capital letter g","short":"squared cap g"},"mathspeak":{"default":"squared upper G"}}},{"category":"So","key":"1F137","mappings":{"default":{"default":"squared latin capital letter h","short":"squared cap h"},"mathspeak":{"default":"squared upper H"}}},{"category":"So","key":"1F138","mappings":{"default":{"default":"squared latin capital letter i","short":"squared cap i"},"mathspeak":{"default":"squared upper I"}}},{"category":"So","key":"1F139","mappings":{"default":{"default":"squared latin capital letter j","short":"squared cap j"},"mathspeak":{"default":"squared upper J"}}},{"category":"So","key":"1F13A","mappings":{"default":{"default":"squared latin capital letter k","short":"squared cap k"},"mathspeak":{"default":"squared upper K"}}},{"category":"So","key":"1F13B","mappings":{"default":{"default":"squared latin capital letter l","short":"squared cap l"},"mathspeak":{"default":"squared upper L"}}},{"category":"So","key":"1F13C","mappings":{"default":{"default":"squared latin capital letter m","short":"squared cap m"},"mathspeak":{"default":"squared upper M"}}},{"category":"So","key":"1F13D","mappings":{"default":{"default":"squared latin capital letter n","short":"squared cap n"},"mathspeak":{"default":"squared upper N"}}},{"category":"So","key":"1F13E","mappings":{"default":{"default":"squared latin capital letter o","short":"squared cap o"},"mathspeak":{"default":"squared upper O"}}},{"category":"So","key":"1F13F","mappings":{"default":{"default":"squared latin capital letter p","short":"squared cap p"},"mathspeak":{"default":"squared upper P"}}},{"category":"So","key":"1F140","mappings":{"default":{"default":"squared latin capital letter q","short":"squared cap q"},"mathspeak":{"default":"squared upper Q"}}},{"category":"So","key":"1F141","mappings":{"default":{"default":"squared latin capital letter r","short":"squared cap r"},"mathspeak":{"default":"squared upper R"}}},{"category":"So","key":"1F142","mappings":{"default":{"default":"squared latin capital letter s","short":"squared cap s"},"mathspeak":{"default":"squared upper S"}}},{"category":"So","key":"1F143","mappings":{"default":{"default":"squared latin capital letter t","short":"squared cap t"},"mathspeak":{"default":"squared upper T"}}},{"category":"So","key":"1F144","mappings":{"default":{"default":"squared latin capital letter u","short":"squared cap u"},"mathspeak":{"default":"squared upper U"}}},{"category":"So","key":"1F145","mappings":{"default":{"default":"squared latin capital letter v","short":"squared cap v"},"mathspeak":{"default":"squared upper V"}}},{"category":"So","key":"1F146","mappings":{"default":{"default":"squared latin capital letter w","short":"squared cap w"},"mathspeak":{"default":"squared upper W"}}},{"category":"So","key":"1F147","mappings":{"default":{"default":"squared latin capital letter x","short":"squared cap x"},"mathspeak":{"default":"squared upper X"}}},{"category":"So","key":"1F148","mappings":{"default":{"default":"squared latin capital letter y","short":"squared cap y"},"mathspeak":{"default":"squared upper Y"}}},{"category":"So","key":"1F149","mappings":{"default":{"default":"squared latin capital letter z","short":"squared cap z"},"mathspeak":{"default":"squared upper Z"}}},{"category":"So","key":"1F150","mappings":{"default":{"default":"negative circled latin capital letter a","short":"negative circled cap a"},"mathspeak":{"default":"negative circled upper A"}}},{"category":"So","key":"1F151","mappings":{"default":{"default":"negative circled latin capital letter b","short":"negative circled cap b"},"mathspeak":{"default":"negative circled upper B"}}},{"category":"So","key":"1F152","mappings":{"default":{"default":"negative circled latin capital letter c","short":"negative circled cap c"},"mathspeak":{"default":"negative circled upper C"}}},{"category":"So","key":"1F153","mappings":{"default":{"default":"negative circled latin capital letter d","short":"negative circled cap d"},"mathspeak":{"default":"negative circled upper D"}}},{"category":"So","key":"1F154","mappings":{"default":{"default":"negative circled latin capital letter e","short":"negative circled cap e"},"mathspeak":{"default":"negative circled upper E"}}},{"category":"So","key":"1F155","mappings":{"default":{"default":"negative circled latin capital letter f","short":"negative circled cap f"},"mathspeak":{"default":"negative circled upper F"}}},{"category":"So","key":"1F156","mappings":{"default":{"default":"negative circled latin capital letter g","short":"negative circled cap g"},"mathspeak":{"default":"negative circled upper G"}}},{"category":"So","key":"1F157","mappings":{"default":{"default":"negative circled latin capital letter h","short":"negative circled cap h"},"mathspeak":{"default":"negative circled upper H"}}},{"category":"So","key":"1F158","mappings":{"default":{"default":"negative circled latin capital letter i","short":"negative circled cap i"},"mathspeak":{"default":"negative circled upper I"}}},{"category":"So","key":"1F159","mappings":{"default":{"default":"negative circled latin capital letter j","short":"negative circled cap j"},"mathspeak":{"default":"negative circled upper J"}}},{"category":"So","key":"1F15A","mappings":{"default":{"default":"negative circled latin capital letter k","short":"negative circled cap k"},"mathspeak":{"default":"negative circled upper K"}}},{"category":"So","key":"1F15B","mappings":{"default":{"default":"negative circled latin capital letter l","short":"negative circled cap l"},"mathspeak":{"default":"negative circled upper L"}}},{"category":"So","key":"1F15C","mappings":{"default":{"default":"negative circled latin capital letter m","short":"negative circled cap m"},"mathspeak":{"default":"negative circled upper M"}}},{"category":"So","key":"1F15D","mappings":{"default":{"default":"negative circled latin capital letter n","short":"negative circled cap n"},"mathspeak":{"default":"negative circled upper N"}}},{"category":"So","key":"1F15E","mappings":{"default":{"default":"negative circled latin capital letter o","short":"negative circled cap o"},"mathspeak":{"default":"negative circled upper O"}}},{"category":"So","key":"1F15F","mappings":{"default":{"default":"negative circled latin capital letter p","short":"negative circled cap p"},"mathspeak":{"default":"negative circled upper P"}}},{"category":"So","key":"1F160","mappings":{"default":{"default":"negative circled latin capital letter q","short":"negative circled cap q"},"mathspeak":{"default":"negative circled upper Q"}}},{"category":"So","key":"1F161","mappings":{"default":{"default":"negative circled latin capital letter r","short":"negative circled cap r"},"mathspeak":{"default":"negative circled upper R"}}},{"category":"So","key":"1F162","mappings":{"default":{"default":"negative circled latin capital letter s","short":"negative circled cap s"},"mathspeak":{"default":"negative circled upper S"}}},{"category":"So","key":"1F163","mappings":{"default":{"default":"negative circled latin capital letter t","short":"negative circled cap t"},"mathspeak":{"default":"negative circled upper T"}}},{"category":"So","key":"1F164","mappings":{"default":{"default":"negative circled latin capital letter u","short":"negative circled cap u"},"mathspeak":{"default":"negative circled upper U"}}},{"category":"So","key":"1F165","mappings":{"default":{"default":"negative circled latin capital letter v","short":"negative circled cap v"},"mathspeak":{"default":"negative circled upper V"}}},{"category":"So","key":"1F166","mappings":{"default":{"default":"negative circled latin capital letter w","short":"negative circled cap w"},"mathspeak":{"default":"negative circled upper W"}}},{"category":"So","key":"1F167","mappings":{"default":{"default":"negative circled latin capital letter x","short":"negative circled cap x"},"mathspeak":{"default":"negative circled upper X"}}},{"category":"So","key":"1F168","mappings":{"default":{"default":"negative circled latin capital letter y","short":"negative circled cap y"},"mathspeak":{"default":"negative circled upper Y"}}},{"category":"So","key":"1F169","mappings":{"default":{"default":"negative circled latin capital letter z","short":"negative circled cap z"},"mathspeak":{"default":"negative circled upper Z"}}},{"category":"So","key":"1F170","mappings":{"default":{"default":"negative squared latin capital letter a","short":"negative squared cap a"},"mathspeak":{"default":"negative squared upper A"}}},{"category":"So","key":"1F171","mappings":{"default":{"default":"negative squared latin capital letter b","short":"negative squared cap b"},"mathspeak":{"default":"negative squared upper B"}}},{"category":"So","key":"1F172","mappings":{"default":{"default":"negative squared latin capital letter c","short":"negative squared cap c"},"mathspeak":{"default":"negative squared upper C"}}},{"category":"So","key":"1F173","mappings":{"default":{"default":"negative squared latin capital letter d","short":"negative squared cap d"},"mathspeak":{"default":"negative squared upper D"}}},{"category":"So","key":"1F174","mappings":{"default":{"default":"negative squared latin capital letter e","short":"negative squared cap e"},"mathspeak":{"default":"negative squared upper E"}}},{"category":"So","key":"1F175","mappings":{"default":{"default":"negative squared latin capital letter f","short":"negative squared cap f"},"mathspeak":{"default":"negative squared upper F"}}},{"category":"So","key":"1F176","mappings":{"default":{"default":"negative squared latin capital letter g","short":"negative squared cap g"},"mathspeak":{"default":"negative squared upper G"}}},{"category":"So","key":"1F177","mappings":{"default":{"default":"negative squared latin capital letter h","short":"negative squared cap h"},"mathspeak":{"default":"negative squared upper H"}}},{"category":"So","key":"1F178","mappings":{"default":{"default":"negative squared latin capital letter i","short":"negative squared cap i"},"mathspeak":{"default":"negative squared upper I"}}},{"category":"So","key":"1F179","mappings":{"default":{"default":"negative squared latin capital letter j","short":"negative squared cap j"},"mathspeak":{"default":"negative squared upper J"}}},{"category":"So","key":"1F17A","mappings":{"default":{"default":"negative squared latin capital letter k","short":"negative squared cap k"},"mathspeak":{"default":"negative squared upper K"}}},{"category":"So","key":"1F17B","mappings":{"default":{"default":"negative squared latin capital letter l","short":"negative squared cap l"},"mathspeak":{"default":"negative squared upper L"}}},{"category":"So","key":"1F17C","mappings":{"default":{"default":"negative squared latin capital letter m","short":"negative squared cap m"},"mathspeak":{"default":"negative squared upper M"}}},{"category":"So","key":"1F17D","mappings":{"default":{"default":"negative squared latin capital letter n","short":"negative squared cap n"},"mathspeak":{"default":"negative squared upper N"}}},{"category":"So","key":"1F17E","mappings":{"default":{"default":"negative squared latin capital letter o","short":"negative squared cap o"},"mathspeak":{"default":"negative squared upper O"}}},{"category":"So","key":"1F17F","mappings":{"default":{"default":"negative squared latin capital letter p","short":"negative squared cap p"},"mathspeak":{"default":"negative squared upper P"}}},{"category":"So","key":"1F180","mappings":{"default":{"default":"negative squared latin capital letter q","short":"negative squared cap q"},"mathspeak":{"default":"negative squared upper Q"}}},{"category":"So","key":"1F181","mappings":{"default":{"default":"negative squared latin capital letter r","short":"negative squared cap r"},"mathspeak":{"default":"negative squared upper R"}}},{"category":"So","key":"1F182","mappings":{"default":{"default":"negative squared latin capital letter s","short":"negative squared cap s"},"mathspeak":{"default":"negative squared upper S"}}},{"category":"So","key":"1F183","mappings":{"default":{"default":"negative squared latin capital letter t","short":"negative squared cap t"},"mathspeak":{"default":"negative squared upper T"}}},{"category":"So","key":"1F184","mappings":{"default":{"default":"negative squared latin capital letter u","short":"negative squared cap u"},"mathspeak":{"default":"negative squared upper U"}}},{"category":"So","key":"1F185","mappings":{"default":{"default":"negative squared latin capital letter v","short":"negative squared cap v"},"mathspeak":{"default":"negative squared upper V"}}},{"category":"So","key":"1F186","mappings":{"default":{"default":"negative squared latin capital letter w","short":"negative squared cap w"},"mathspeak":{"default":"negative squared upper W"}}},{"category":"So","key":"1F187","mappings":{"default":{"default":"negative squared latin capital letter x","short":"negative squared cap x"},"mathspeak":{"default":"negative squared upper X"}}},{"category":"So","key":"1F188","mappings":{"default":{"default":"negative squared latin capital letter y","short":"negative squared cap y"},"mathspeak":{"default":"negative squared upper Y"}}},{"category":"So","key":"1F189","mappings":{"default":{"default":"negative squared latin capital letter z","short":"negative squared cap z"},"mathspeak":{"default":"negative squared upper Z"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"crossed negative squared latin capital letter p","short":"crossed negative squared cap p"},"mathspeak":{"default":"crossed negative squared upper P"}}}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-upper-double-accent.js b/extensions/a11y/mathmaps/en/symbols/latin-upper-double-accent.js
deleted file mode 100644
index f145bd037c..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-upper-double-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"latin capital letter u with diaeresis and macron","alternative":"latin capital letter u double overdot overbar","short":"cap u double overdot overbar"},"mathspeak":{"default":"upper U double overdot overbar"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"latin capital letter u with diaeresis and acute","alternative":"latin capital letter u double overdot acute","short":"cap u double overdot acute"},"mathspeak":{"default":"upper U double overdot acute"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"latin capital letter u with diaeresis and caron","alternative":"latin capital letter u double overdot hacek","short":"cap u double overdot caron"},"mathspeak":{"default":"upper U double overdot caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"latin capital letter u with diaeresis and grave","alternative":"latin capital letter u double overdot grave","short":"cap u double overdot grave"},"mathspeak":{"default":"upper U double overdot grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"latin capital letter a with diaeresis and macron","alternative":"latin capital letter a double overdot overbar","short":"cap a double overdot overbar"},"mathspeak":{"default":"upper A double overdot overbar"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"latin capital letter a with dot above and macron","alternative":"latin capital letter a dot overbar","short":"cap a overdot overbar"},"mathspeak":{"default":"upper A overdot overbar"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"latin capital letter o with ogonek and macron","alternative":"latin capital letter o ogonek overbar","short":"cap o ogonek overbar"},"mathspeak":{"default":"upper O ogonek overbar"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"latin capital letter a with ring above and acute","alternative":"latin capital letter a ring acute","short":"cap a ring acute"},"mathspeak":{"default":"upper A ring acute"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"latin capital letter o with diaeresis and macron","alternative":"latin capital letter o double overdot overbar","short":"cap o double overdot overbar"},"mathspeak":{"default":"upper O double overdot overbar"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"latin capital letter o with tilde and macron","alternative":"latin capital letter o tilde overbar","short":"cap o tilde overbar"},"mathspeak":{"default":"upper O tilde overbar"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"latin capital letter o with dot above and macron","alternative":"latin capital letter o overdot overbar","short":"cap o overdot overbar"},"mathspeak":{"default":"upper O overdot overbar"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"latin capital letter c with cedilla and acute","alternative":"latin capital letter c cedilla acute","short":"cap c cedilla acute"},"mathspeak":{"default":"upper C cedilla acute"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"latin capital letter e with macron and grave","alternative":"latin capital letter e overbar grave","short":"cap e overbar grave"},"mathspeak":{"default":"upper E overbar grave"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"latin capital letter e with macron and acute","alternative":"latin capital letter e overbar acute","short":"cap e overbar acute"},"mathspeak":{"default":"upper E overbar acute"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"latin capital letter e with cedilla and breve","alternative":"latin capital letter e cedilla breve","short":"cap e cedilla breve"},"mathspeak":{"default":"upper E cedilla breve"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"latin capital letter i with diaeresis and acute","alternative":"latin capital letter i double overdot acute","short":"cap i double overdot acute"},"mathspeak":{"default":"upper I double overdot acute"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"latin capital letter l with dot below and macron","alternative":"latin capital letter l underdot overbar","short":"cap l underdot overbar"},"mathspeak":{"default":"upper L underdot overbar"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"latin capital letter o with tilde and acute","alternative":"latin capital letter o tilde acute","short":"cap o tilde acute"},"mathspeak":{"default":"upper O tilde acute"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"latin capital letter o with tilde and diaeresis","alternative":"latin capital letter o tilde double overdot","short":"cap o tilde double overdot"},"mathspeak":{"default":"upper O tilde double overdot"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"latin capital letter o with macron and grave","alternative":"latin capital letter o overbar grave","short":"cap o overbar grave"},"mathspeak":{"default":"upper O overbar grave"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"latin capital letter o with macron and acute","alternative":"latin capital letter o overbar acute","short":"cap o overbar acute"},"mathspeak":{"default":"upper O overbar acute"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"latin capital letter r with dot below and macron","alternative":"cap r underdot and overbar","short":"cap r overbar underdot"},"mathspeak":{"default":"upper R overbar underdot"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"latin capital letter s with acute dot above","alternative":"latin capital letter s acute overdot","short":"cap s acute overdot"},"mathspeak":{"default":"upper S acute overdot"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"latin capital letter s with caron and dot above","alternative":"latin capital letter s caron overdot","short":"cap s caron overdot"},"mathspeak":{"default":"upper S caron overdot"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"latin capital letter s with dot below and dot above","alternative":"latin capital letter s underdot overdot","short":"cap s underdot overdot"},"mathspeak":{"default":"upper S underdot overdot"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"latin capital letter u with tilde and acute","alternative":"latin capital letter u tilde acute","short":"cap u tilde acute"},"mathspeak":{"default":"upper U tilde acute"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"latin capital letter u with macron and diaeresis","alternative":"latin capital letter u overbar double overdot","short":"cap u overbar double overdot"},"mathspeak":{"default":"upper U overbar double overdot"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"latin capital letter a with circumflex and acute","alternative":"latin capital letter a hat acute","short":"cap a hat acute"},"mathspeak":{"default":"upper A hat acute"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"latin capital letter a with circumflex and grave","alternative":"latin capital letter a hat grave","short":"cap a hat grave"},"mathspeak":{"default":"upper A hat grave"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"latin capital letter a with circumflex and hook above","alternative":"latin capital letter a hat hook","short":"cap a hat hook"},"mathspeak":{"default":"upper A hat hook"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"latin capital letter a with circumflex and tilde","alternative":"latin capital letter a hat tilde","short":"cap a hat tilde"},"mathspeak":{"default":"upper A hat tilde"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"latin capital letter a with circumflex and dot below","alternative":"latin capital letter a hat underdot","short":"cap a hat underdot"},"mathspeak":{"default":"upper A hat underdot"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"latin capital letter a with breve and acute","alternative":"latin capital letter a breve acute","short":"cap a breve acute"},"mathspeak":{"default":"upper A breve acute"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"latin capital letter a with breve and grave","alternative":"latin capital letter a breve grave","short":"cap a breve grave"},"mathspeak":{"default":"upper A breve grave"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"latin capital letter a with breve and hook above","alternative":"latin capital letter a breve hook","short":"cap a breve hook"},"mathspeak":{"default":"upper A breve hook"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"latin capital letter a with breve and tilde","alternative":"latin capital letter a breve tilde","short":"cap a breve tilde"},"mathspeak":{"default":"upper A breve tilde"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"latin capital letter a with breve and dot below","alternative":"latin capital letter a breve underdot","short":"cap a breve underdot"},"mathspeak":{"default":"upper A breve underdot"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"latin capital letter e with circumflex and acute","alternative":"latin capital letter e hat acute","short":"cap e hat acute"},"mathspeak":{"default":"upper E hat acute"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"latin capital letter e with circumflex and grave","alternative":"latin capital letter e hat grave","short":"cap e hat grave"},"mathspeak":{"default":"upper E hat grave"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"latin capital letter e with circumflex and hook above","alternative":"latin capital letter e hat hook","short":"cap e hat hook"},"mathspeak":{"default":"upper E hat hook"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"latin capital letter e with circumflex and tilde","alternative":"latin capital letter e hat tilde","short":"cap e hat tilde"},"mathspeak":{"default":"upper E hat tilde"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"latin capital letter e with circumflex and dot below","alternative":"latin capital letter e hat underdot","short":"cap e hat underdot"},"mathspeak":{"default":"upper E hat underdot"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"latin capital letter o with circumflex and acute","alternative":"latin capital letter o hat acute","short":"cap o hat acute"},"mathspeak":{"default":"upper O hat acute"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"latin capital letter o with circumflex and grave","alternative":"latin capital letter o hat grave","short":"cap o hat grave"},"mathspeak":{"default":"upper O hat grave"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"latin capital letter o with circumflex and hook above","alternative":"latin capital letter o hat hook","short":"cap o hat hook"},"mathspeak":{"default":"upper O hat hook"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"latin capital letter o with circumflex and tilde","alternative":"latin capital letter o hat tilde","short":"cap o hat tilde"},"mathspeak":{"default":"upper O hat tilde"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"latin capital letter o with circumflex and dot below","alternative":"latin capital letter o hat underdot","short":"cap o hat underdot"},"mathspeak":{"default":"upper O hat underdot"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"latin capital letter o with horn and acute","alternative":"latin capital letter o acute prime","short":"cap o acute prime"},"mathspeak":{"default":"upper O acute prime"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"latin capital letter o with horn and grave","alternative":"latin capital letter o grave prime","short":"cap o grave prime"},"mathspeak":{"default":"upper O grave prime"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"latin capital letter o with horn and hook above","alternative":"latin capital letter o hook prime","short":"cap o hook prime"},"mathspeak":{"default":"upper O hook prime"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"latin capital letter o with horn and tilde","alternative":"latin capital letter o tilde prime","short":"cap o tilde prime"},"mathspeak":{"default":"upper O tilde prime"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"latin capital letter o with horn and dot below","alternative":"latin capital letter o underdot prime","short":"cap o underdot prime"},"mathspeak":{"default":"upper O underdot prime"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"latin capital letter u with horn and acute","alternative":"latin capital letter u acute prime","short":"cap u acute prime"},"mathspeak":{"default":"upper U acute prime"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"latin capital letter u with horn and grave","alternative":"latin capital letter u grave prime","short":"cap u grave prime"},"mathspeak":{"default":"upper U grave prime"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"latin capital letter u with horn and hook above","alternative":"latin capital letter u hook prime","short":"cap u hook prime"},"mathspeak":{"default":"upper U hook prime"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"latin capital letter u with horn and tilde","alternative":"latin capital letter u tilde prime","short":"cap u tilde prime"},"mathspeak":{"default":"upper U tilde prime"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"latin capital letter u with horn and dot below","alternative":"latin capital letter u underdot prime","short":"cap u underdot prime"},"mathspeak":{"default":"upper U underdot prime"}}}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-upper-normal.js b/extensions/a11y/mathmaps/en/symbols/latin-upper-normal.js
deleted file mode 100644
index d628a6addf..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-upper-normal.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","key":"0041","mappings":{"default":{"default":"latin capital letter a","short":"cap a"},"mathspeak":{"default":"upper A"}}},{"category":"Lu","key":"0042","mappings":{"default":{"default":"latin capital letter b","short":"cap b"},"mathspeak":{"default":"upper B"}}},{"category":"Lu","key":"0043","mappings":{"default":{"default":"latin capital letter c","short":"cap c"},"mathspeak":{"default":"upper C"}}},{"category":"Lu","key":"0044","mappings":{"default":{"default":"latin capital letter d","short":"cap d"},"mathspeak":{"default":"upper D"}}},{"category":"Lu","key":"0045","mappings":{"default":{"default":"latin capital letter e","short":"cap e"},"mathspeak":{"default":"upper E"}}},{"category":"Lu","key":"0046","mappings":{"default":{"default":"latin capital letter f","short":"cap f"},"mathspeak":{"default":"upper F"}}},{"category":"Lu","key":"0047","mappings":{"default":{"default":"latin capital letter g","short":"cap g"},"mathspeak":{"default":"upper G"}}},{"category":"Lu","key":"0048","mappings":{"default":{"default":"latin capital letter h","short":"cap h"},"mathspeak":{"default":"upper H"}}},{"category":"Lu","key":"0049","mappings":{"default":{"default":"latin capital letter i","short":"cap i"},"mathspeak":{"default":"upper I"}}},{"category":"Lu","key":"004A","mappings":{"default":{"default":"latin capital letter j","short":"cap j"},"mathspeak":{"default":"upper J"}}},{"category":"Lu","key":"004B","mappings":{"default":{"default":"latin capital letter k","short":"cap k"},"mathspeak":{"default":"upper K"}}},{"category":"Lu","key":"004C","mappings":{"default":{"default":"latin capital letter l","short":"cap l"},"mathspeak":{"default":"upper L"}}},{"category":"Lu","key":"004D","mappings":{"default":{"default":"latin capital letter m","short":"cap m"},"mathspeak":{"default":"upper M"}}},{"category":"Lu","key":"004E","mappings":{"default":{"default":"latin capital letter n","short":"cap n"},"mathspeak":{"default":"upper N"}}},{"category":"Lu","key":"004F","mappings":{"default":{"default":"latin capital letter o","short":"cap o"},"mathspeak":{"default":"upper O"}}},{"category":"Lu","key":"0050","mappings":{"default":{"default":"latin capital letter p","short":"cap p"},"mathspeak":{"default":"upper P"}}},{"category":"Lu","key":"0051","mappings":{"default":{"default":"latin capital letter q","short":"cap q"},"mathspeak":{"default":"upper Q"}}},{"category":"Lu","key":"0052","mappings":{"default":{"default":"latin capital letter r","short":"cap r"},"mathspeak":{"default":"upper R"}}},{"category":"Lu","key":"0053","mappings":{"default":{"default":"latin capital letter s","short":"cap s"},"mathspeak":{"default":"upper S"}}},{"category":"Lu","key":"0054","mappings":{"default":{"default":"latin capital letter t","short":"cap t"},"mathspeak":{"default":"upper T"}}},{"category":"Lu","key":"0055","mappings":{"default":{"default":"latin capital letter u","short":"cap u"},"mathspeak":{"default":"upper U"}}},{"category":"Lu","key":"0056","mappings":{"default":{"default":"latin capital letter v","short":"cap v"},"mathspeak":{"default":"upper V"}}},{"category":"Lu","key":"0057","mappings":{"default":{"default":"latin capital letter w","short":"cap w"},"mathspeak":{"default":"upper W"}}},{"category":"Lu","key":"0058","mappings":{"default":{"default":"latin capital letter x","short":"cap x"},"mathspeak":{"default":"upper X"}}},{"category":"Lu","key":"0059","mappings":{"default":{"default":"latin capital letter y","short":"cap y"},"mathspeak":{"default":"upper Y"}}},{"category":"Lu","key":"005A","mappings":{"default":{"default":"latin capital letter z","short":"cap z"},"mathspeak":{"default":"upper Z"}}},{"category":"Lu","key":"FF21","mappings":{"default":{"default":"fullwidth latin capital letter a","alternative":"fullwidth latin cap a","short":"cap a"},"mathspeak":{"default":"upper A"}}},{"category":"Lu","key":"FF22","mappings":{"default":{"default":"fullwidth latin capital letter b","alternative":"fullwidth latin cap b","short":"cap b"},"mathspeak":{"default":"upper B"}}},{"category":"Lu","key":"FF23","mappings":{"default":{"default":"fullwidth latin capital letter c","alternative":"fullwidth latin cap c","short":"cap c"},"mathspeak":{"default":"upper C"}}},{"category":"Lu","key":"FF24","mappings":{"default":{"default":"fullwidth latin capital letter d","alternative":"fullwidth latin cap d","short":"cap d"},"mathspeak":{"default":"upper D"}}},{"category":"Lu","key":"FF25","mappings":{"default":{"default":"fullwidth latin capital letter e","alternative":"fullwidth latin cap e","short":"cap e"},"mathspeak":{"default":"upper E"}}},{"category":"Lu","key":"FF26","mappings":{"default":{"default":"fullwidth latin capital letter f","alternative":"fullwidth latin cap f","short":"cap f"},"mathspeak":{"default":"upper F"}}},{"category":"Lu","key":"FF27","mappings":{"default":{"default":"fullwidth latin capital letter g","alternative":"fullwidth latin cap g","short":"cap g"},"mathspeak":{"default":"upper G"}}},{"category":"Lu","key":"FF28","mappings":{"default":{"default":"fullwidth latin capital letter h","alternative":"fullwidth latin cap h","short":"cap h"},"mathspeak":{"default":"upper H"}}},{"category":"Lu","key":"FF29","mappings":{"default":{"default":"fullwidth latin capital letter i","alternative":"fullwidth latin cap i","short":"cap i"},"mathspeak":{"default":"upper I"}}},{"category":"Lu","key":"FF2A","mappings":{"default":{"default":"fullwidth latin capital letter j","alternative":"fullwidth latin cap j","short":"cap j"},"mathspeak":{"default":"upper J"}}},{"category":"Lu","key":"FF2B","mappings":{"default":{"default":"fullwidth latin capital letter k","alternative":"fullwidth latin cap k","short":"cap k"},"mathspeak":{"default":"upper K"}}},{"category":"Lu","key":"FF2C","mappings":{"default":{"default":"fullwidth latin capital letter l","alternative":"fullwidth latin cap l","short":"cap l"},"mathspeak":{"default":"upper L"}}},{"category":"Lu","key":"FF2D","mappings":{"default":{"default":"fullwidth latin capital letter m","alternative":"fullwidth latin cap m","short":"cap m"},"mathspeak":{"default":"upper M"}}},{"category":"Lu","key":"FF2E","mappings":{"default":{"default":"fullwidth latin capital letter n","alternative":"fullwidth latin cap n","short":"cap n"},"mathspeak":{"default":"upper N"}}},{"category":"Lu","key":"FF2F","mappings":{"default":{"default":"fullwidth latin capital letter o","alternative":"fullwidth latin cap o","short":"cap o"},"mathspeak":{"default":"upper O"}}},{"category":"Lu","key":"FF30","mappings":{"default":{"default":"fullwidth latin capital letter p","alternative":"fullwidth latin cap p","short":"cap p"},"mathspeak":{"default":"upper P"}}},{"category":"Lu","key":"FF31","mappings":{"default":{"default":"fullwidth latin capital letter q","alternative":"fullwidth latin cap q","short":"cap q"},"mathspeak":{"default":"upper Q"}}},{"category":"Lu","key":"FF32","mappings":{"default":{"default":"fullwidth latin capital letter r","alternative":"fullwidth latin cap r","short":"cap r"},"mathspeak":{"default":"upper R"}}},{"category":"Lu","key":"FF33","mappings":{"default":{"default":"fullwidth latin capital letter s","alternative":"fullwidth latin cap s","short":"cap s"},"mathspeak":{"default":"upper S"}}},{"category":"Lu","key":"FF34","mappings":{"default":{"default":"fullwidth latin capital letter t","alternative":"fullwidth latin cap t","short":"cap t"},"mathspeak":{"default":"upper T"}}},{"category":"Lu","key":"FF35","mappings":{"default":{"default":"fullwidth latin capital letter u","alternative":"fullwidth latin cap u","short":"cap u"},"mathspeak":{"default":"upper U"}}},{"category":"Lu","key":"FF36","mappings":{"default":{"default":"fullwidth latin capital letter v","alternative":"fullwidth latin cap v","short":"cap v"},"mathspeak":{"default":"upper V"}}},{"category":"Lu","key":"FF37","mappings":{"default":{"default":"fullwidth latin capital letter w","alternative":"fullwidth latin cap w","short":"cap w"},"mathspeak":{"default":"upper W"}}},{"category":"Lu","key":"FF38","mappings":{"default":{"default":"fullwidth latin capital letter x","alternative":"fullwidth latin cap x","short":"cap x"},"mathspeak":{"default":"upper X"}}},{"category":"Lu","key":"FF39","mappings":{"default":{"default":"fullwidth latin capital letter y","alternative":"fullwidth latin cap y","short":"cap y"},"mathspeak":{"default":"upper Y"}}},{"category":"Lu","key":"FF3A","mappings":{"default":{"default":"fullwidth latin capital letter z","alternative":"fullwidth latin cap z","short":"cap z"},"mathspeak":{"default":"upper Z"}}}]
diff --git a/extensions/a11y/mathmaps/en/symbols/latin-upper-single-accent.js b/extensions/a11y/mathmaps/en/symbols/latin-upper-single-accent.js
deleted file mode 100644
index a9b587470f..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/latin-upper-single-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","key":"00C0","mappings":{"default":{"default":"latin capital letter a with grave","alternative":"latin capital letter a grave","short":"cap a grave"},"mathspeak":{"default":"modifying above upper A with grave","brief":"mod above upper A with grave","sbrief":"mod above upper A with grave"}}},{"category":"Lu","key":"00C1","mappings":{"default":{"default":"latin capital letter a with acute","alternative":"latin capital letter a acute","short":"cap a acute"},"mathspeak":{"default":"modifying above upper A with acute","brief":"mod above upper A with acute","sbrief":"mod above upper A with acute"}}},{"category":"Lu","key":"00C2","mappings":{"default":{"default":"latin capital letter a with circumflex","alternative":"latin capital letter a hat","short":"cap a hat"},"mathspeak":{"default":"modifying above upper A with caret","brief":"mod above upper A with caret","sbrief":"mod above upper A with caret"}}},{"category":"Lu","key":"00C3","mappings":{"default":{"default":"latin capital letter a with tilde","alternative":"latin capital letter a tilde","short":"cap a tilde"},"mathspeak":{"default":"upper A overtilde","brief":"upper A overtilde","sbrief":"upper A overtilde"}}},{"category":"Lu","key":"00C4","mappings":{"default":{"default":"latin capital letter a with diaeresis","alternative":"latin capital letter a double overdot","short":"cap a double overdot"},"mathspeak":{"default":"modifying above upper A with double dot","brief":"mod above upper A with double dot","sbrief":"mod above upper A with double dot"}}},{"category":"Lu","key":"00C5","mappings":{"default":{"default":"latin capital letter a with ring above","alternative":"latin capital letter a ring","short":"cap a ring"},"mathspeak":{"default":"modifying above upper A with ring","brief":"mod above upper A with ring","sbrief":"mod above upper A with ring"}}},{"category":"Lu","key":"00C7","mappings":{"default":{"default":"latin capital letter c cedilla","alternative":"latin capital letter c cedilla","short":"cap c cedilla"},"mathspeak":{"default":"modifying above upper C with cedilla","brief":"mod above upper C with cedilla","sbrief":"mod above upper C with cedilla"}}},{"category":"Lu","key":"00C8","mappings":{"default":{"default":"latin capital letter e with grave","alternative":"latin capital letter e grave","short":"cap e grave"},"mathspeak":{"default":"modifying above upper E with grave","brief":"mod above upper E with grave","sbrief":"mod above upper E with grave"}}},{"category":"Lu","key":"00C9","mappings":{"default":{"default":"latin capital letter e with acute","alternative":"latin capital letter e acute","short":"cap e acute"},"mathspeak":{"default":"modifying above upper E with acute","brief":"mod above upper E with acute","sbrief":"mod above upper E with acute"}}},{"category":"Lu","key":"00CA","mappings":{"default":{"default":"latin capital letter e with circumflex","alternative":"latin capital letter e hat","short":"cap e hat"},"mathspeak":{"default":"modifying above upper E with caret","brief":"mod above upper E with caret","sbrief":"mod above upper E with caret"}}},{"category":"Lu","key":"00CB","mappings":{"default":{"default":"latin capital letter e with diaeresis","alternative":"latin capital letter e double overdot","short":"cap e double overdot"},"mathspeak":{"default":"modifying above upper E with double dot","brief":"mod above upper E with double dot","sbrief":"mod above upper E with double dot"}}},{"category":"Lu","key":"00CC","mappings":{"default":{"default":"latin capital letter i with grave","alternative":"latin capital letter i grave","short":"cap i grave"},"mathspeak":{"default":"modifying above upper I with grave","brief":"mod above upper I with grave","sbrief":"mod above upper I with grave"}}},{"category":"Lu","key":"00CD","mappings":{"default":{"default":"latin capital letter i with acute","alternative":"latin capital letter i acute","short":"cap i acute"},"mathspeak":{"default":"modifying above upper I with acute","brief":"mod above upper I with acute","sbrief":"mod above upper I with acute"}}},{"category":"Lu","key":"00CE","mappings":{"default":{"default":"latin capital letter i with circumflex","alternative":"latin capital letter i hat","short":"cap i hat"},"mathspeak":{"default":"modifying above upper I with caret","brief":"mod above upper I with caret","sbrief":"mod above upper I with caret"}}},{"category":"Lu","key":"00CF","mappings":{"default":{"default":"latin capital letter i with diaeresis","alternative":"latin capital letter i double overdot","short":"cap i double overdot"},"mathspeak":{"default":"modifying above upper I with double dot","brief":"mod above upper I with double dot","sbrief":"mod above upper I with double dot"}}},{"category":"Lu","key":"00D1","mappings":{"default":{"default":"latin capital letter n tilde","alternative":"latin capital letter n tilde","short":"cap n tilde"},"mathspeak":{"default":"upper N overtilde","brief":"upper N overtilde","sbrief":"upper N overtilde"}}},{"category":"Lu","key":"00D2","mappings":{"default":{"default":"latin capital letter o with grave","alternative":"latin capital letter o grave","short":"cap o grave"},"mathspeak":{"default":"modifying above upper O with grave","brief":"mod above upper O with grave","sbrief":"mod above upper O with grave"}}},{"category":"Lu","key":"00D3","mappings":{"default":{"default":"latin capital letter o with acute","alternative":"latin capital letter o acute","short":"cap o acute"},"mathspeak":{"default":"modifying above upper O with acute","brief":"mod above upper O with acute","sbrief":"mod above upper O with acute"}}},{"category":"Lu","key":"00D4","mappings":{"default":{"default":"latin capital letter o with circumflex","alternative":"latin capital letter o hat","short":"cap o hat"},"mathspeak":{"default":"modifying above upper O with caret","brief":"mod above upper O with caret","sbrief":"mod above upper O with caret"}}},{"category":"Lu","key":"00D5","mappings":{"default":{"default":"latin capital letter o with tilde","alternative":"latin capital letter o tilde","short":"cap o tilde"},"mathspeak":{"default":"upper O overtilde","brief":"upper O overtilde","sbrief":"upper O overtilde"}}},{"category":"Lu","key":"00D6","mappings":{"default":{"default":"latin capital letter o with diaeresis","alternative":"latin capital letter o double overdot","short":"cap o double overdot"},"mathspeak":{"default":"modifying above upper O with double dot","brief":"mod above upper O with double dot","sbrief":"mod above upper O with double dot"}}},{"category":"Lu","key":"00D9","mappings":{"default":{"default":"latin capital letter u with grave","alternative":"latin capital letter u grave","short":"cap u grave"},"mathspeak":{"default":"modifying above upper U with grave","brief":"mod above upper U with grave","sbrief":"mod above upper U with grave"}}},{"category":"Lu","key":"00DA","mappings":{"default":{"default":"latin capital letter u with acute","alternative":"latin capital letter u acute","short":"cap u acute"},"mathspeak":{"default":"modifying above upper U with acute","brief":"mod above upper U with acute","sbrief":"mod above upper U with acute"}}},{"category":"Lu","key":"00DB","mappings":{"default":{"default":"latin capital letter u with circumflex","alternative":"latin capital letter u hat","short":"cap u hat"},"mathspeak":{"default":"modifying above upper U with caret","brief":"mod above upper U with caret","sbrief":"mod above upper U with caret"}}},{"category":"Lu","key":"00DC","mappings":{"default":{"default":"latin capital letter u with diaeresis","alternative":"latin capital letter u double overdot","short":"cap u double overdot"},"mathspeak":{"default":"modifying above upper U with double dot","brief":"mod above upper U with double dot","sbrief":"mod above upper U with double dot"}}},{"category":"Lu","key":"00DD","mappings":{"default":{"default":"latin capital letter y with acute","alternative":"latin capital letter y acute","short":"cap y acute"},"mathspeak":{"default":"modifying above upper Y with acute","brief":"mod above upper Y with acute","sbrief":"mod above upper Y with acute"}}},{"category":"Lu","key":"0100","mappings":{"default":{"default":"latin capital letter a macron","alternative":"latin capital letter a overbar","short":"cap a overbar"},"mathspeak":{"default":"upper A overbar","brief":"upper A overbar","sbrief":"upper A overbar"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"latin capital letter a with breve","alternative":"latin capital letter a breve","short":"cap a breve"},"mathspeak":{"default":"modifying above upper A with breve","brief":"mod above upper A with breve","sbrief":"mod above upper A with breve"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"latin capital letter a with ogonek","alternative":"latin capital letter a ogonek","short":"cap a ogonek"},"mathspeak":{"default":"modifying above upper A with ogonek","brief":"mod above upper A with ogonek","sbrief":"mod above upper A with ogonek"}}},{"category":"Lu","key":"0106","mappings":{"default":{"default":"latin capital letter c with acute","alternative":"latin capital letter c acute","short":"cap c acute"},"mathspeak":{"default":"modifying above upper C with acute","brief":"mod above upper C with acute","sbrief":"mod above upper C with acute"}}},{"category":"Lu","key":"0108","mappings":{"default":{"default":"latin capital letter c with circumflex","alternative":"latin capital letter c hat","short":"cap c hat"},"mathspeak":{"default":"modifying above upper C with caret","brief":"mod above upper C with caret","sbrief":"mod above upper C with caret"}}},{"category":"Lu","key":"010A","mappings":{"default":{"default":"latin capital letter c with dot above","alternative":"latin capital letter c overdot","short":"cap c overdot"},"mathspeak":{"default":"modifying above upper C with dot","brief":"mod above upper C with dot","sbrief":"mod above upper C with dot"}}},{"category":"Lu","key":"010C","mappings":{"default":{"default":"latin capital letter c with caron","alternative":"latin capital letter c hacek","short":"cap c caron"},"mathspeak":{"default":"modifying above upper C with caron","brief":"mod above upper C with caron","sbrief":"mod above upper C with caron"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"latin capital letter d with caron","alternative":"latin capital letter d hacek","short":"cap d caron"},"mathspeak":{"default":"modifying above upper D with caron","brief":"mod above upper D with caron","sbrief":"mod above upper D with caron"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"latin capital letter e with macron","alternative":"latin capital letter e overbar","short":"cap e overbar"},"mathspeak":{"default":"upper E overbar","brief":"upper E overbar","sbrief":"upper E overbar"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"latin capital letter e with breve","alternative":"latin capital letter e breve","short":"cap e breve"},"mathspeak":{"default":"modifying above upper E with breve","brief":"mod above upper E with breve","sbrief":"mod above upper E with breve"}}},{"category":"Lu","key":"0116","mappings":{"default":{"default":"latin capital letter e with dot above","alternative":"latin capital letter e overdot","short":"cap e overdot"},"mathspeak":{"default":"modifying above upper E with dot","brief":"mod above upper E with dot","sbrief":"mod above upper E with dot"}}},{"category":"Lu","key":"0118","mappings":{"default":{"default":"latin capital letter e with ogonek","alternative":"latin capital letter e ogonek","short":"cap e ogonek"},"mathspeak":{"default":"modifying above upper E with ogonek","brief":"mod above upper E with ogonek","sbrief":"mod above upper E with ogonek"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"latin capital letter e with caron","alternative":"latin capital letter e hacek","short":"cap e caron"},"mathspeak":{"default":"modifying above upper E with caron","brief":"mod above upper E with caron","sbrief":"mod above upper E with caron"}}},{"category":"Lu","key":"011C","mappings":{"default":{"default":"latin capital letter g with circumflex","alternative":"latin capital letter g hat","short":"cap g hat"},"mathspeak":{"default":"modifying above upper G with caret","brief":"mod above upper G with caret","sbrief":"mod above upper G with caret"}}},{"category":"Lu","key":"011E","mappings":{"default":{"default":"latin capital letter g with breve","alternative":"latin capital letter g breve","short":"cap g breve"},"mathspeak":{"default":"modifying above upper G with breve","brief":"mod above upper G with breve","sbrief":"mod above upper G with breve"}}},{"category":"Lu","key":"0120","mappings":{"default":{"default":"latin capital letter g with dot above","alternative":"latin capital letter g overdot","short":"cap g overdot"},"mathspeak":{"default":"modifying above upper G with dot","brief":"mod above upper G with dot","sbrief":"mod above upper G with dot"}}},{"category":"Lu","key":"0122","mappings":{"default":{"default":"latin capital letter g with cedilla","alternative":"latin capital letter g cedilla","short":"cap g cedilla"},"mathspeak":{"default":"modifying above upper G with cedilla","brief":"mod above upper G with cedilla","sbrief":"mod above upper G with cedilla"}}},{"category":"Lu","key":"0124","mappings":{"default":{"default":"latin capital letter h with circumflex","alternative":"latin capital letter h hat","short":"cap h hat"},"mathspeak":{"default":"modifying above upper H with caret","brief":"mod above upper H with caret","sbrief":"mod above upper H with caret"}}},{"category":"Lu","key":"0128","mappings":{"default":{"default":"latin capital letter i with tilde","alternative":"latin capital letter i tilde","short":"cap i tilde"},"mathspeak":{"default":"upper I overtilde","brief":"upper I overtilde","sbrief":"upper I overtilde"}}},{"category":"Lu","key":"012A","mappings":{"default":{"default":"latin capital letter i with macron","alternative":"latin capital letter i overbar","short":"cap i overbar"},"mathspeak":{"default":"upper I overbar","brief":"upper I overbar","sbrief":"upper I overbar"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"latin capital letter i with breve","alternative":"latin capital letter i breve","short":"cap i breve"},"mathspeak":{"default":"modifying above upper I with breve","brief":"mod above upper I with breve","sbrief":"mod above upper I with breve"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"latin capital letter i with ogonek","alternative":"latin capital letter i ogonek","short":"cap i ogonek"},"mathspeak":{"default":"modifying above upper I with ogonek","brief":"mod above upper I with ogonek","sbrief":"mod above upper I with ogonek"}}},{"category":"Lu","key":"0130","mappings":{"default":{"default":"latin capital letter i with dot above","alternative":"latin capital letter i overdot","short":"cap i overdot"},"mathspeak":{"default":"modifying above upper I with dot","brief":"mod above upper I with dot","sbrief":"mod above upper I with dot"}}},{"category":"Lu","key":"0134","mappings":{"default":{"default":"latin capital letter j circumflex","alternative":"latin capital letter j hat","short":"cap j hat"},"mathspeak":{"default":"modifying above upper J with caret","brief":"mod above upper J with caret","sbrief":"mod above upper J with caret"}}},{"category":"Lu","key":"0136","mappings":{"default":{"default":"latin capital letter k with cedilla","alternative":"latin capital letter k cedilla","short":"cap k cedilla"},"mathspeak":{"default":"modifying above upper K with cedilla","brief":"mod above upper K with cedilla","sbrief":"mod above upper K with cedilla"}}},{"category":"Lu","key":"0139","mappings":{"default":{"default":"latin capital letter l with acute","alternative":"latin capital letter l acute","short":"cap l acute"},"mathspeak":{"default":"modifying above upper L with acute","brief":"mod above upper L with acute","sbrief":"mod above upper L with acute"}}},{"category":"Lu","key":"013B","mappings":{"default":{"default":"latin capital letter l with cedilla","alternative":"latin capital letter l cedilla","short":"cap l cedilla"},"mathspeak":{"default":"modifying above upper L with cedilla","brief":"mod above upper L with cedilla","sbrief":"mod above upper L with cedilla"}}},{"category":"Lu","key":"013D","mappings":{"default":{"default":"latin capital letter l with caron","alternative":"latin capital letter l hacek","short":"cap l caron"},"mathspeak":{"default":"modifying above upper L with caron","brief":"mod above upper L with caron","sbrief":"mod above upper L with caron"}}},{"category":"Lu","key":"013F","mappings":{"default":{"default":"latin capital letter l with middle dot","alternative":"latin capital letter l middle dot","short":"cap l middle dot"},"mathspeak":{"default":"modifying above upper L with middle dot","brief":"mod above upper L with middle dot","sbrief":"mod above upper L with middle dot"}}},{"category":"Lu","key":"0143","mappings":{"default":{"default":"latin capital letter n with acute","alternative":"latin capital letter n acute","short":"cap n acute"},"mathspeak":{"default":"modifying above upper N with acute","brief":"mod above upper N with acute","sbrief":"mod above upper N with acute"}}},{"category":"Lu","key":"0145","mappings":{"default":{"default":"latin capital letter n with cedilla","alternative":"latin capital letter n cedilla","short":"cap n cedilla"},"mathspeak":{"default":"modifying above upper N with cedilla","brief":"mod above upper N with cedilla","sbrief":"mod above upper N with cedilla"}}},{"category":"Lu","key":"0147","mappings":{"default":{"default":"latin capital letter n with caron","alternative":"latin capital letter n hacek","short":"cap n caron"},"mathspeak":{"default":"modifying above upper N with caron","brief":"mod above upper N with caron","sbrief":"mod above upper N with caron"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"latin capital letter o macron","alternative":"latin capital letter o overbar","short":"cap o overbar"},"mathspeak":{"default":"upper O overbar","brief":"upper O overbar","sbrief":"upper O overbar"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"latin capital letter o with breve","alternative":"latin capital letter o breve","short":"cap o breve"},"mathspeak":{"default":"modifying above upper O with breve","brief":"mod above upper O with breve","sbrief":"mod above upper O with breve"}}},{"category":"Lu","key":"0150","mappings":{"default":{"default":"latin capital letter o with double acute","alternative":"latin capital letter o double acute","short":"cap o double acute"},"mathspeak":{"default":"modifying above upper O with double acute","brief":"mod above upper O with double acute","sbrief":"mod above upper O with double acute"}}},{"category":"Lu","key":"0154","mappings":{"default":{"default":"latin capital letter r acute","alternative":"latin capital letter r acute","short":"cap r acute"},"mathspeak":{"default":"modifying above upper R with acute","brief":"mod above upper R with acute","sbrief":"mod above upper R with acute"}}},{"category":"Lu","key":"0156","mappings":{"default":{"default":"latin capital letter r with cedilla","alternative":"latin capital letter r cedilla","short":"cap r cedilla"},"mathspeak":{"default":"modifying above upper R with cedilla","brief":"mod above upper R with cedilla","sbrief":"mod above upper R with cedilla"}}},{"category":"Lu","key":"0158","mappings":{"default":{"default":"latin capital letter r with caron","alternative":"latin capital letter r hacek","short":"cap r caron"},"mathspeak":{"default":"modifying above upper R with caron","brief":"mod above upper R with caron","sbrief":"mod above upper R with caron"}}},{"category":"Lu","key":"015A","mappings":{"default":{"default":"latin capital letter s with acute","alternative":"latin capital letter s acute","short":"cap s acute"},"mathspeak":{"default":"modifying above upper S with acute","brief":"mod above upper S with acute","sbrief":"mod above upper S with acute"}}},{"category":"Lu","key":"015C","mappings":{"default":{"default":"latin capital letter s with circumflex","alternative":"latin capital letter s hat","short":"cap s hat"},"mathspeak":{"default":"modifying above upper S with caret","brief":"mod above upper S with caret","sbrief":"mod above upper S with caret"}}},{"category":"Lu","key":"015E","mappings":{"default":{"default":"latin capital letter s with cedilla","alternative":"latin capital letter s cedilla","short":"cap s cedilla"},"mathspeak":{"default":"modifying above upper S with cedilla","brief":"mod above upper S with cedilla","sbrief":"mod above upper S with cedilla"}}},{"category":"Lu","key":"0160","mappings":{"default":{"default":"latin capital letter s with caron","alternative":"latin capital letter s hacek","short":"cap s caron"},"mathspeak":{"default":"modifying above upper S with caron","brief":"mod above upper S with caron","sbrief":"mod above upper S with caron"}}},{"category":"Lu","key":"0162","mappings":{"default":{"default":"latin capital letter t with cedilla","alternative":"latin capital letter t cedilla","short":"cap t cedilla"},"mathspeak":{"default":"modifying above upper T with cedilla","brief":"mod above upper T with cedilla","sbrief":"mod above upper T with cedilla"}}},{"category":"Lu","key":"0164","mappings":{"default":{"default":"latin capital letter t with caron","alternative":"latin capital letter t hacek","short":"cap t caron"},"mathspeak":{"default":"modifying above upper T with caron","brief":"mod above upper T with caron","sbrief":"mod above upper T with caron"}}},{"category":"Lu","key":"0168","mappings":{"default":{"default":"latin capital letter u with tilde","alternative":"latin capital letter u tilde","short":"cap u tilde"},"mathspeak":{"default":"upper U overtilde","brief":"upper U overtilde","sbrief":"upper U overtilde"}}},{"category":"Lu","key":"016A","mappings":{"default":{"default":"latin capital letter u with macron","alternative":"latin capital letter u overbar","short":"cap u overbar"},"mathspeak":{"default":"upper U overbar","brief":"upper U overbar","sbrief":"upper U overbar"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"latin capital letter u with breve","alternative":"latin capital letter u breve","short":"cap u breve"},"mathspeak":{"default":"modifying above upper U with breve","brief":"mod above upper U with breve","sbrief":"mod above upper U with breve"}}},{"category":"Lu","key":"016E","mappings":{"default":{"default":"latin capital letter u with ring above","alternative":"latin capital letter u ring","short":"cap u ring"},"mathspeak":{"default":"modifying above upper U with ring","brief":"mod above upper U with ring","sbrief":"mod above upper U with ring"}}},{"category":"Lu","key":"0170","mappings":{"default":{"default":"latin capital letter u with double acute","alternative":"latin capital letter u double acute","short":"cap u double acute"},"mathspeak":{"default":"modifying above upper U with double acute","brief":"mod above upper U with double acute","sbrief":"mod above upper U with double acute"}}},{"category":"Lu","key":"0172","mappings":{"default":{"default":"latin capital letter u with ogonek","alternative":"latin capital letter u ogonek","short":"cap u ogonek"},"mathspeak":{"default":"modifying above upper U with ogonek","brief":"mod above upper U with ogonek","sbrief":"mod above upper U with ogonek"}}},{"category":"Lu","key":"0174","mappings":{"default":{"default":"latin capital letter w with circumflex","alternative":"latin capital letter w hat","short":"cap w hat"},"mathspeak":{"default":"modifying above upper W with caret","brief":"mod above upper W with caret","sbrief":"mod above upper W with caret"}}},{"category":"Lu","key":"0176","mappings":{"default":{"default":"latin capital letter y with circumflex","alternative":"latin capital letter y hat","short":"cap y hat"},"mathspeak":{"default":"modifying above upper Y with caret","brief":"mod above upper Y with caret","sbrief":"mod above upper Y with caret"}}},{"category":"Lu","key":"0178","mappings":{"default":{"default":"latin capital letter y with diaeresis","alternative":"latin capital letter y double overdot","short":"cap y double overdot"},"mathspeak":{"default":"modifying above upper Y with double dot","brief":"mod above upper Y with double dot","sbrief":"mod above upper Y with double dot"}}},{"category":"Lu","key":"0179","mappings":{"default":{"default":"latin capital letter z with acute","alternative":"latin capital letter z acute","short":"cap z acute"},"mathspeak":{"default":"modifying above upper Z with acute","brief":"mod above upper Z with acute","sbrief":"mod above upper Z with acute"}}},{"category":"Lu","key":"017B","mappings":{"default":{"default":"latin capital letter z with dot above","alternative":"latin capital letter z overdot","short":"cap z overdot"},"mathspeak":{"default":"modifying above upper Z with dot","brief":"mod above upper Z with dot","sbrief":"mod above upper Z with dot"}}},{"category":"Lu","key":"017D","mappings":{"default":{"default":"latin capital letter z with caron","alternative":"latin capital letter z hacek","short":"cap z caron"},"mathspeak":{"default":"modifying above upper Z with caron","brief":"mod above upper Z with caron","sbrief":"mod above upper Z with caron"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"latin capital letter a with caron","alternative":"latin capital letter a hacek","short":"cap a caron"},"mathspeak":{"default":"modifying above upper A with caron","brief":"mod above upper A with caron","sbrief":"mod above upper A with caron"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"latin capital letter i with caron","alternative":"latin capital letter i hacek","short":"cap i caron"},"mathspeak":{"default":"modifying above upper I with caron","brief":"mod above upper I with caron","sbrief":"mod above upper I with caron"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"latin capital letter o with caron","alternative":"latin capital letter o hacek","short":"cap o caron"},"mathspeak":{"default":"modifying above upper O with caron","brief":"mod above upper O with caron","sbrief":"mod above upper O with caron"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"latin capital letter u with caron","alternative":"latin capital letter u hacek","short":"cap u caron"},"mathspeak":{"default":"modifying above upper U with caron","brief":"mod above upper U with caron","sbrief":"mod above upper U with caron"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"latin capital letter g with caron","alternative":"latin capital letter g hacek","short":"cap g caron"},"mathspeak":{"default":"modifying above upper G with caron","brief":"mod above upper G with caron","sbrief":"mod above upper G with caron"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"latin capital letter k with caron","alternative":"latin capital letter k hacek","short":"cap k caron"},"mathspeak":{"default":"modifying above upper K with caron","brief":"mod above upper K with caron","sbrief":"mod above upper K with caron"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"latin capital letter o with ogonek","alternative":"latin capital letter o ogonek","short":"cap o ogonek"},"mathspeak":{"default":"modifying above upper O with ogonek","brief":"mod above upper O with ogonek","sbrief":"mod above upper O with ogonek"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"latin capital letter g with acute","alternative":"latin capital letter g acute","short":"cap g acute"},"mathspeak":{"default":"modifying above upper G with acute","brief":"mod above upper G with acute","sbrief":"mod above upper G with acute"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"latin capital letter n with grave","alternative":"latin capital letter n grave","short":"cap n grave"},"mathspeak":{"default":"modifying above upper N with grave","brief":"mod above upper N with grave","sbrief":"mod above upper N with grave"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"latin capital letter a with double grave","alternative":"latin capital letter a double grave","short":"cap a double grave"},"mathspeak":{"default":"modifying above upper A with double grave","brief":"mod above upper A with double grave","sbrief":"mod above upper A with double grave"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"latin capital letter a with inverted breve","alternative":"latin capital letter a inverted breve","short":"cap a inverted breve"},"mathspeak":{"default":"modifying above upper A with inverted breve","brief":"mod above upper A with inverted breve","sbrief":"mod above upper A with inverted breve"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"latin capital letter e with double grave","alternative":"latin capital letter e double grave","short":"cap e double grave"},"mathspeak":{"default":"modifying above upper E with double grave","brief":"mod above upper E with double grave","sbrief":"mod above upper E with double grave"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"latin capital letter e with inverted breve","alternative":"latin capital letter e inverted breve","short":"cap e inverted breve"},"mathspeak":{"default":"modifying above upper E with inverted breve","brief":"mod above upper E with inverted breve","sbrief":"mod above upper E with inverted breve"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"latin capital letter i with double grave","alternative":"latin capital letter i double grave","short":"cap i double grave"},"mathspeak":{"default":"modifying above upper I with double grave","brief":"mod above upper I with double grave","sbrief":"mod above upper I with double grave"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"latin capital letter i with inverted breve","alternative":"latin capital letter i inverted breve","short":"cap i inverted breve"},"mathspeak":{"default":"modifying above upper I with inverted breve","brief":"mod above upper I with inverted breve","sbrief":"mod above upper I with inverted breve"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"latin capital letter o with double grave","alternative":"latin capital letter o double grave","short":"cap o double grave"},"mathspeak":{"default":"modifying above upper O with double grave","brief":"mod above upper O with double grave","sbrief":"mod above upper O with double grave"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"latin capital letter o with inverted breve","alternative":"latin capital letter o inverted breve","short":"cap o inverted breve"},"mathspeak":{"default":"modifying above upper O with inverted breve","brief":"mod above upper O with inverted breve","sbrief":"mod above upper O with inverted breve"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"latin capital letter r with double grave","alternative":"latin capital letter r double grave","short":"cap r double grave"},"mathspeak":{"default":"modifying above upper R with double grave","brief":"mod above upper R with double grave","sbrief":"mod above upper R with double grave"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"latin capital letter r with inverted breve","alternative":"latin capital letter r inverted breve","short":"cap r inverted breve"},"mathspeak":{"default":"modifying above upper R with inverted breve","brief":"mod above upper R with inverted breve","sbrief":"mod above upper R with inverted breve"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"latin capital letter u with double grave","alternative":"latin capital letter u double grave","short":"cap u double grave"},"mathspeak":{"default":"modifying above upper U with double grave","brief":"mod above upper U with double grave","sbrief":"mod above upper U with double grave"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"latin capital letter u with inverted breve","alternative":"latin capital letter u inverted breve","short":"cap u inverted breve"},"mathspeak":{"default":"modifying above upper U with inverted breve","brief":"mod above upper U with inverted breve","sbrief":"mod above upper U with inverted breve"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"latin capital letter s with comma below","alternative":"latin capital letter s comma below","short":"cap s comma below"},"mathspeak":{"default":"modifying below upper S with comma below","brief":"mod below upper S with comma below","sbrief":"mod below upper S with comma below"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"latin capital letter t with comma below","alternative":"latin capital letter t comma below","short":"cap t comma below"},"mathspeak":{"default":"modifying below upper T with comma below","brief":"mod below upper T with comma below","sbrief":"mod below upper T with comma below"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"latin capital letter h caron","short":"cap h caron"},"mathspeak":{"default":"modifying above upper H with caron","brief":"mod above upper H with caron","sbrief":"mod above upper H with caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"latin capital letter a with dot above","alternative":"latin capital letter a overdot","short":"cap a overdot"},"mathspeak":{"default":"modifying above upper A with dot","brief":"mod above upper A with dot","sbrief":"mod above upper A with dot"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"latin capital letter e with cedilla","alternative":"latin capital letter e cedilla","short":"cap e cedilla"},"mathspeak":{"default":"modifying above upper E with cedilla","brief":"mod above upper E with cedilla","sbrief":"mod above upper E with cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"latin capital letter o with dot above","alternative":"latin capital letter o overdot","short":"cap o overdot"},"mathspeak":{"default":"modifying above upper O with dot","brief":"mod above upper O with dot","sbrief":"mod above upper O with dot"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"latin capital letter y with macron","alternative":"latin capital letter y overbar","short":"cap y overbar"},"mathspeak":{"default":"upper Y overbar","brief":"upper Y overbar","sbrief":"upper Y overbar"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"latin capital letter a with ring below","alternative":"latin capital letter a ring below","short":"cap a ring below"},"mathspeak":{"default":"modifying below upper A with ring below","brief":"mod below upper A with ring below","sbrief":"mod below upper A with ring below"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"latin capital letter b with dot above","alternative":"latin capital letter b overdot","short":"cap b overdot"},"mathspeak":{"default":"modifying above upper B with dot","brief":"mod above upper B with dot","sbrief":"mod above upper B with dot"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"latin capital letter b with dot below","alternative":"latin capital letter b underdot","short":"cap b underdot"},"mathspeak":{"default":"modifying below upper B with dot","brief":"mod below upper B with dot","sbrief":"mod below upper B with dot"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"latin capital letter b with line below","alternative":"latin capital letter b underbar","short":"cap b underbar"},"mathspeak":{"default":"upper B underbar","brief":"upper B underbar","sbrief":"upper B underbar"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"latin capital letter d with dot above","alternative":"latin capital letter d overdot","short":"cap d overdot"},"mathspeak":{"default":"modifying above upper D with dot","brief":"mod above upper D with dot","sbrief":"mod above upper D with dot"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"latin capital letter d with dot below","alternative":"latin capital letter d underdot","short":"cap d underdot"},"mathspeak":{"default":"modifying below upper D with dot","brief":"mod below upper D with dot","sbrief":"mod below upper D with dot"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"latin capital letter d with line below","alternative":"latin capital letter d underbar","short":"cap d underbar"},"mathspeak":{"default":"upper D underbar","brief":"upper D underbar","sbrief":"upper D underbar"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"latin capital letter d with cedilla","alternative":"latin capital letter d cedilla","short":"cap d cedilla"},"mathspeak":{"default":"modifying above upper D with cedilla","brief":"mod above upper D with cedilla","sbrief":"mod above upper D with cedilla"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"latin capital letter d with circumflex below","alternative":"latin capital letter d underhat","short":"cap d underhat"},"mathspeak":{"default":"modifying below upper D with caret","brief":"mod below upper D with caret","sbrief":"mod below upper D with caret"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"latin capital letter e with circumflex below","alternative":"latin capital letter e underhat","short":"cap e underhat"},"mathspeak":{"default":"modifying below upper E with caret","brief":"mod below upper E with caret","sbrief":"mod below upper E with caret"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"latin capital letter e with tilde below","alternative":"latin capital letter e tilde below","short":"cap e tilde below"},"mathspeak":{"default":"upper E undertilde","brief":"upper E undertilde","sbrief":"upper E undertilde"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"latin capital letter f with dot above","alternative":"latin capital letter f overdot","short":"cap f overdot"},"mathspeak":{"default":"modifying above upper F with dot","brief":"mod above upper F with dot","sbrief":"mod above upper F with dot"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"latin capital letter g with macron","alternative":"latin capital letter g overbar","short":"cap g overbar"},"mathspeak":{"default":"upper G overbar","brief":"upper G overbar","sbrief":"upper G overbar"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"latin capital letter h with dot above","alternative":"latin capital letter h overdot","short":"cap h overdot"},"mathspeak":{"default":"modifying above upper H with dot","brief":"mod above upper H with dot","sbrief":"mod above upper H with dot"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"latin capital letter h with dot below","alternative":"latin capital letter h underdot","short":"cap h underdot"},"mathspeak":{"default":"modifying below upper H with dot","brief":"mod below upper H with dot","sbrief":"mod below upper H with dot"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"latin capital letter h with diaeresis","alternative":"latin capital letter h double overdot","short":"cap h double overdot"},"mathspeak":{"default":"modifying above upper H with double dot","brief":"mod above upper H with double dot","sbrief":"mod above upper H with double dot"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"latin capital letter h with cedilla","alternative":"latin capital letter h cedilla","short":"cap h cedilla"},"mathspeak":{"default":"modifying above upper H with cedilla","brief":"mod above upper H with cedilla","sbrief":"mod above upper H with cedilla"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"latin capital letter h with breve below","alternative":"latin capital letter h breve below","short":"cap h breve below"},"mathspeak":{"default":"modifying below upper H with breve below","brief":"mod below upper H with breve below","sbrief":"mod below upper H with breve below"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"latin capital letter i with tilde below","alternative":"latin capital letter i tilde below","short":"cap i tilde below"},"mathspeak":{"default":"upper I undertilde","brief":"upper I undertilde","sbrief":"upper I undertilde"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"latin capital letter k with acute","alternative":"latin capital letter k acute","short":"cap k acute"},"mathspeak":{"default":"modifying above upper K with acute","brief":"mod above upper K with acute","sbrief":"mod above upper K with acute"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"latin capital letter k with dot below","alternative":"latin capital letter k underdot","short":"cap k underdot"},"mathspeak":{"default":"modifying below upper K with dot","brief":"mod below upper K with dot","sbrief":"mod below upper K with dot"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"latin capital letter k with line below","alternative":"latin capital letter k underbar","short":"cap k underbar"},"mathspeak":{"default":"upper K underbar","brief":"upper K underbar","sbrief":"upper K underbar"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"latin capital letter l with dot below","alternative":"latin capital letter l underdot","short":"cap l underdot"},"mathspeak":{"default":"modifying below upper L with dot","brief":"mod below upper L with dot","sbrief":"mod below upper L with dot"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"latin capital letter l with line below","alternative":"latin capital letter l underbar","short":"cap l underbar"},"mathspeak":{"default":"upper L underbar","brief":"upper L underbar","sbrief":"upper L underbar"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"latin capital letter l with circumflex below","alternative":"latin capital letter l underhat","short":"cap l underhat"},"mathspeak":{"default":"modifying below upper L with caret","brief":"mod below upper L with caret","sbrief":"mod below upper L with caret"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"latin capital letter m with acute","alternative":"latin capital letter m acute","short":"cap m acute"},"mathspeak":{"default":"modifying above upper M with acute","brief":"mod above upper M with acute","sbrief":"mod above upper M with acute"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"latin capital letter m with dot above","alternative":"latin capital letter m overdot","short":"cap m overdot"},"mathspeak":{"default":"modifying above upper M with dot","brief":"mod above upper M with dot","sbrief":"mod above upper M with dot"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"latin capital letter m with dot below","alternative":"latin capital letter m underdot","short":"cap m underdot"},"mathspeak":{"default":"modifying below upper M with dot","brief":"mod below upper M with dot","sbrief":"mod below upper M with dot"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"latin capital letter n with dot above","alternative":"latin capital letter n overdot","short":"cap n overdot"},"mathspeak":{"default":"modifying above upper N with dot","brief":"mod above upper N with dot","sbrief":"mod above upper N with dot"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"latin capital letter n with dot below","alternative":"latin capital letter n underdot","short":"cap n underdot"},"mathspeak":{"default":"modifying below upper N with dot","brief":"mod below upper N with dot","sbrief":"mod below upper N with dot"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"latin capital letter n with line below","alternative":"latin capital letter n underbar","short":"cap n underbar"},"mathspeak":{"default":"upper N underbar","brief":"upper N underbar","sbrief":"upper N underbar"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"latin capital letter n with circumflex below","alternative":"latin capital letter n underhat","short":"cap n underhat"},"mathspeak":{"default":"modifying below upper N with caret","brief":"mod below upper N with caret","sbrief":"mod below upper N with caret"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"latin capital letter p with acute","alternative":"latin capital letter p acute","short":"cap p acute"},"mathspeak":{"default":"modifying above upper P with acute","brief":"mod above upper P with acute","sbrief":"mod above upper P with acute"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"latin capital letter p with dot above","alternative":"latin capital letter p overdot","short":"cap p overdot"},"mathspeak":{"default":"modifying above upper P with dot","brief":"mod above upper P with dot","sbrief":"mod above upper P with dot"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"latin capital letter r with dot above","alternative":"latin capital letter r overdot","short":"cap r overdot"},"mathspeak":{"default":"modifying above upper R with dot","brief":"mod above upper R with dot","sbrief":"mod above upper R with dot"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"latin capital letter r with dot below","alternative":"latin capital letter r underdot","short":"cap r underdot"},"mathspeak":{"default":"modifying below upper R with dot","brief":"mod below upper R with dot","sbrief":"mod below upper R with dot"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"latin capital letter r with line below","alternative":"latin capital letter r underbar","short":"cap r underbar"},"mathspeak":{"default":"upper R underbar","brief":"upper R underbar","sbrief":"upper R underbar"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"latin capital letter s with dot above","alternative":"latin capital letter s overdot","short":"cap s overdot"},"mathspeak":{"default":"modifying above upper S with dot","brief":"mod above upper S with dot","sbrief":"mod above upper S with dot"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"latin capital letter s with dot below","alternative":"latin capital letter s underdot","short":"cap s underdot"},"mathspeak":{"default":"modifying below upper S with dot","brief":"mod below upper S with dot","sbrief":"mod below upper S with dot"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"latin capital letter t with dot above","alternative":"latin capital letter t overdot","short":"cap t overdot"},"mathspeak":{"default":"modifying above upper T with dot","brief":"mod above upper T with dot","sbrief":"mod above upper T with dot"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"latin capital letter t with dot below","alternative":"latin capital letter t underdot","short":"cap t underdot"},"mathspeak":{"default":"modifying below upper T with dot","brief":"mod below upper T with dot","sbrief":"mod below upper T with dot"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"latin capital letter t with line below","alternative":"latin capital letter t underbar","short":"cap t underbar"},"mathspeak":{"default":"upper T underbar","brief":"upper T underbar","sbrief":"upper T underbar"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"latin capital letter t with circumflex below","alternative":"latin capital letter t underhat","short":"cap t underhat"},"mathspeak":{"default":"modifying below upper T with caret","brief":"mod below upper T with caret","sbrief":"mod below upper T with caret"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"latin capital letter u with diaeresis below","alternative":"latin capital letter u double underdot","short":"cap u double underdot"},"mathspeak":{"default":"modifying below upper U with double dot","brief":"mod below upper U with double dot","sbrief":"mod below upper U with double dot"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"latin capital letter u with tilde below","alternative":"latin capital letter u tilde below","short":"cap u tilde below"},"mathspeak":{"default":"upper U undertilde","brief":"upper U undertilde","sbrief":"upper U undertilde"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"latin capital letter u with circumflex below","alternative":"latin capital letter u underhat","short":"cap u underhat"},"mathspeak":{"default":"modifying below upper U with caret","brief":"mod below upper U with caret","sbrief":"mod below upper U with caret"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"latin capital letter v with tilde","alternative":"latin capital letter v tilde","short":"cap v tilde"},"mathspeak":{"default":"upper V overtilde","brief":"upper V overtilde","sbrief":"upper V overtilde"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"latin capital letter v with dot below","alternative":"latin capital letter v underdot","short":"cap v underdot"},"mathspeak":{"default":"modifying below upper V with dot","brief":"mod below upper V with dot","sbrief":"mod below upper V with dot"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"latin capital letter w with grave","alternative":"latin capital letter w grave","short":"cap w grave"},"mathspeak":{"default":"modifying above upper W with grave","brief":"mod above upper W with grave","sbrief":"mod above upper W with grave"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"latin capital letter w with acute","alternative":"latin capital letter w acute","short":"cap w acute"},"mathspeak":{"default":"modifying above upper W with acute","brief":"mod above upper W with acute","sbrief":"mod above upper W with acute"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"latin capital letter w with diaeresis","alternative":"latin capital letter w double overdot","short":"cap w double overdot"},"mathspeak":{"default":"modifying above upper W with double dot","brief":"mod above upper W with double dot","sbrief":"mod above upper W with double dot"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"latin capital letter w with dot above","alternative":"latin capital letter w overdot","short":"cap w overdot"},"mathspeak":{"default":"modifying above upper W with dot","brief":"mod above upper W with dot","sbrief":"mod above upper W with dot"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"latin capital letter w with dot below","alternative":"latin capital letter w underdot","short":"cap w underdot"},"mathspeak":{"default":"modifying below upper W with dot","brief":"mod below upper W with dot","sbrief":"mod below upper W with dot"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"latin capital letter x with dot above","alternative":"latin capital letter x overdot","short":"cap x overdot"},"mathspeak":{"default":"modifying above upper X with dot","brief":"mod above upper X with dot","sbrief":"mod above upper X with dot"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"latin capital letter x with diaeresis","alternative":"latin capital letter x double overdot","short":"cap x double overdot"},"mathspeak":{"default":"modifying above upper X with double dot","brief":"mod above upper X with double dot","sbrief":"mod above upper X with double dot"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"latin capital letter y with dot above","alternative":"latin capital letter y overdot","short":"cap y overdot"},"mathspeak":{"default":"modifying above upper Y with dot","brief":"mod above upper Y with dot","sbrief":"mod above upper Y with dot"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"latin capital letter z with circumflex","alternative":"latin capital letter z circumflex","short":"cap z circumflex"},"mathspeak":{"default":"modifying above upper Z with circumflex","brief":"mod above upper Z with circumflex","sbrief":"mod above upper Z with circumflex"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"latin capital letter z with dot below","alternative":"latin capital letter z underdot","short":"cap z underdot"},"mathspeak":{"default":"modifying below upper Z with dot","brief":"mod below upper Z with dot","sbrief":"mod below upper Z with dot"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"latin capital letter z with line below","alternative":"latin capital letter z underbar","short":"cap z underbar"},"mathspeak":{"default":"upper Z underbar","brief":"upper Z underbar","sbrief":"upper Z underbar"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"latin capital letter with a dot below","alternative":"latin capital letter with a underdot","short":"cap a underdot"},"mathspeak":{"default":"modifying below upper A with dot","brief":"mod below upper A with dot","sbrief":"mod below upper A with dot"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"latin capital letter a with hook above","alternative":"latin capital letter a hook","short":"cap a hook"},"mathspeak":{"default":"modifying above upper A with hook","brief":"mod above upper A with hook","sbrief":"mod above upper A with hook"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"latin capital letter e with dot below","alternative":"latin capital letter e underdot","short":"cap e underdot"},"mathspeak":{"default":"modifying below upper E with dot","brief":"mod below upper E with dot","sbrief":"mod below upper E with dot"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"latin capital letter e with hook above","alternative":"latin capital letter e hook","short":"cap e hook"},"mathspeak":{"default":"modifying above upper E with hook","brief":"mod above upper E with hook","sbrief":"mod above upper E with hook"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"latin capital letter e with tilde","alternative":"latin capital letter e tilde","short":"cap e tilde"},"mathspeak":{"default":"upper E overtilde","brief":"upper E overtilde","sbrief":"upper E overtilde"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"latin capital letter i with hook above","alternative":"latin capital letter i hook","short":"cap i hook"},"mathspeak":{"default":"modifying above upper I with hook","brief":"mod above upper I with hook","sbrief":"mod above upper I with hook"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"latin capital letter i with dot below","alternative":"latin capital letter i underdot","short":"cap i underdot"},"mathspeak":{"default":"modifying below upper I with dot","brief":"mod below upper I with dot","sbrief":"mod below upper I with dot"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"latin capital letter o with dot below","alternative":"latin capital letter o underdot","short":"cap o underdot"},"mathspeak":{"default":"modifying below upper O with dot","brief":"mod below upper O with dot","sbrief":"mod below upper O with dot"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"latin capital letter o with hook above","alternative":"latin capital letter o hook","short":"cap o hook"},"mathspeak":{"default":"modifying above upper O with hook","brief":"mod above upper O with hook","sbrief":"mod above upper O with hook"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"latin capital letter u with dot below","alternative":"latin capital letter u underdot","short":"cap u underdot"},"mathspeak":{"default":"modifying below upper U with dot","brief":"mod below upper U with dot","sbrief":"mod below upper U with dot"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"latin capital letter u with hook above","alternative":"latin capital letter u hook","short":"cap u hook"},"mathspeak":{"default":"modifying above upper U with hook","brief":"mod above upper U with hook","sbrief":"mod above upper U with hook"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"latin capital letter y with grave","alternative":"latin capital letter y grave","short":"cap y grave"},"mathspeak":{"default":"modifying above upper Y with grave","brief":"mod above upper Y with grave","sbrief":"mod above upper Y with grave"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"latin capital letter y with dot below","alternative":"latin capital letter y underdot","short":"cap y underdot"},"mathspeak":{"default":"modifying below upper Y with dot","brief":"mod below upper Y with dot","sbrief":"mod below upper Y with dot"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"latin capital letter y with hook above","alternative":"latin capital letter y hook","short":"cap y hook"},"mathspeak":{"default":"modifying above upper Y with hook","brief":"mod above upper Y with hook","sbrief":"mod above upper Y with hook"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"latin capital letter y with tilde","alternative":"latin capital letter y tilde","short":"cap y tilde"},"mathspeak":{"default":"upper Y overtilde","brief":"upper Y overtilde","sbrief":"upper Y overtilde"}}}]
diff --git a/extensions/a11y/mathmaps/en/symbols/math_angles.js b/extensions/a11y/mathmaps/en/symbols/math_angles.js
deleted file mode 100644
index 047454fe67..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/math_angles.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"right angle with arc"}},"key":"22BE"},{"category":"Sm","mappings":{"default":{"default":"right angle with downwards zigzag arrow"}},"key":"237C"},{"category":"Sm","mappings":{"default":{"default":"three dimensional angle"}},"key":"27C0"},{"category":"Sm","mappings":{"default":{"default":"measured angle opening left"}},"key":"299B"},{"category":"Sm","mappings":{"default":{"default":"right angle variant with square"}},"key":"299C"},{"category":"Sm","mappings":{"default":{"default":"measured right angle with dot"}},"key":"299D"},{"category":"Sm","mappings":{"default":{"default":"angle with s inside"}},"key":"299E"},{"category":"Sm","mappings":{"default":{"default":"acute angle"}},"key":"299F"},{"category":"Sm","mappings":{"default":{"default":"spherical angle opening left"}},"key":"29A0"},{"category":"Sm","mappings":{"default":{"default":"spherical angle opening up"}},"key":"29A1"},{"category":"Sm","mappings":{"default":{"default":"turned angle"}},"key":"29A2"},{"category":"Sm","mappings":{"default":{"default":"reversed angle"}},"key":"29A3"},{"category":"Sm","mappings":{"default":{"default":"angle with underbar"}},"key":"29A4"},{"category":"Sm","mappings":{"default":{"default":"reversed angle with underbar"}},"key":"29A5"},{"category":"Sm","mappings":{"default":{"default":"oblique angle opening up"}},"key":"29A6"},{"category":"Sm","mappings":{"default":{"default":"oblique angle opening down"}},"key":"29A7"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and right"}},"key":"29A8"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and left"}},"key":"29A9"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and right"}},"key":"29AA"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and left"}},"key":"29AB"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"key":"29AC"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"key":"29AD"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"key":"29AE"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"key":"29AF"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/math_arrows.js b/extensions/a11y/mathmaps/en/symbols/math_arrows.js
deleted file mode 100644
index 4199c9606d..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/math_arrows.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow","short":"left arrow"},"mathspeak":{"default":"left-arrow","sbrief":"L arrow"}},"key":"2190"},{"category":"Sm","mappings":{"default":{"default":"upwards arrow","short":"up arrow"},"mathspeak":{"default":"up-arrow","sbrief":"U arrow"}},"key":"2191"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow","short":"right arrow"},"mathspeak":{"default":"right-arrow","sbrief":"R arrow"}},"key":"2192"},{"category":"Sm","mappings":{"default":{"default":"downwards arrow","short":"down arrow"},"mathspeak":{"default":"down-arrow","sbrief":"D arrow"}},"key":"2193"},{"category":"Sm","mappings":{"default":{"default":"left right arrow"},"mathspeak":{"default":"left-right-arrow","sbrief":"L R arrow"}},"key":"2194"},{"category":"So","mappings":{"default":{"default":"up down arrow"},"mathspeak":{"default":"up down-arrow","sbrief":"U D arrow"}},"key":"2195"},{"category":"So","mappings":{"default":{"default":"north west arrow","short":"up left arrow"},"mathspeak":{"default":"up left-arrow","sbrief":"U L arrow"}},"key":"2196"},{"category":"So","mappings":{"default":{"default":"north east arrow","short":"up right arrow"},"mathspeak":{"default":"up right-arrow","sbrief":"U R arrow"}},"key":"2197"},{"category":"So","mappings":{"default":{"default":"south east arrow","short":"down right arrow"},"mathspeak":{"default":"down right-arrow","sbrief":"D R arrow"}},"key":"2198"},{"category":"So","mappings":{"default":{"default":"south west arrow","short":"down left arrow"},"mathspeak":{"default":"down left-arrow","sbrief":"D L arrow"}},"key":"2199"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with stroke","short":"left arrow with stroke"},"mathspeak":{"default":"left-arrow with stroke","sbrief":"L arrow with stroke"}},"key":"219A"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with stroke","short":"right arrow with stroke"},"mathspeak":{"default":"right-arrow with stroke","sbrief":"R arrow with stroke"}},"key":"219B"},{"category":"So","mappings":{"default":{"default":"leftwards wave arrow","short":"left wave arrow"},"mathspeak":{"sbrief":"L wave arrow"}},"key":"219C"},{"category":"So","mappings":{"default":{"default":"rightwards wave arrow","short":"right wave arrow"},"mathspeak":{"sbrief":"R wave arrow"}},"key":"219D"},{"category":"So","mappings":{"default":{"default":"leftwards two headed arrow","alternative":"left two headed arrow","short":"two headed left arrow"},"mathspeak":{"default":"two headed left-arrow","sbrief":"two headed L arrow"}},"key":"219E"},{"category":"So","mappings":{"default":{"default":"upwards two headed arrow","alternative":"up two headed arrow","short":"two headed up arrow"},"mathspeak":{"default":"two headed up-arrow","sbrief":"two headed U arrow"}},"key":"219F"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow","alternative":"right two headed arrow","short":"two headed right arrow"},"mathspeak":{"default":"two headed right-arrow","sbrief":"two headed R arrow"}},"key":"21A0"},{"category":"So","mappings":{"default":{"default":"downwards two headed arrow","alternative":"down two headed arrow","short":"two headed down arrow"},"mathspeak":{"default":"two headed down-arrow","sbrief":"two headed D arrow"}},"key":"21A1"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with tail","short":"left arrow with tail"},"mathspeak":{"default":"left-arrow with tail","sbrief":"L arrow with tail"}},"key":"21A2"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with tail","short":"right arrow with tail"},"mathspeak":{"default":"right-arrow with tail","sbrief":"R arrow with tail"}},"key":"21A3"},{"category":"So","mappings":{"default":{"default":"leftwards arrow from bar","short":"left arrow from bar"},"mathspeak":{"default":"left-arrow from bar","sbrief":"L arrow from bar"}},"key":"21A4"},{"category":"So","mappings":{"default":{"default":"upwards arrow from bar","short":"up arrow from bar"},"mathspeak":{"default":"up-arrow from bar","sbrief":"U arrow from bar"}},"key":"21A5"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow from bar","short":"right arrow from bar"},"mathspeak":{"default":"right-arrow from bar","sbrief":"R arrow from bar"}},"key":"21A6"},{"category":"So","mappings":{"default":{"default":"downwards arrow from bar","short":"down arrow from bar"},"mathspeak":{"default":"down-arrow from bar","sbrief":"D arrow from bar"}},"key":"21A7"},{"category":"So","mappings":{"default":{"default":"up down arrow with base"},"mathspeak":{"default":"up down-arrow with base","sbrief":"U D arrow with base"}},"key":"21A8"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with hook","short":"left arrow with hook"},"mathspeak":{"default":"left-arrow with hook","sbrief":"L arrow with hook"}},"key":"21A9"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with hook","short":"right arrow with hook"},"mathspeak":{"default":"right-arrow with hook","sbrief":"R arrow with hook"}},"key":"21AA"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with loop","short":"left arrow with loop"},"mathspeak":{"default":"left-arrow with loop","sbrief":"L arrow with loop"}},"key":"21AB"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with loop","short":"right arrow with loop"},"mathspeak":{"default":"right-arrow with loop","sbrief":"R arrow with loop"}},"key":"21AC"},{"category":"So","mappings":{"default":{"default":"left right wave arrow"},"mathspeak":{"sbrief":"L R wave arrow"}},"key":"21AD"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with stroke"},"mathspeak":{"default":"left-right-arrow with stroke","sbrief":"L R arrow with stroke"}},"key":"21AE"},{"category":"So","mappings":{"default":{"default":"downwards zigzag arrow","short":"down zigzag arrow"},"mathspeak":{"sbrief":"d zigzag arrow"}},"key":"21AF"},{"category":"So","mappings":{"default":{"default":"upwards arrow with tip leftwards","short":"up arrow with tip left"},"mathspeak":{"default":"up-arrow with tip left","sbrief":"U arrow with tip left"}},"key":"21B0"},{"category":"So","mappings":{"default":{"default":"upwards arrow with tip rightwards","short":"up arrow with tip right"},"mathspeak":{"default":"up-arrow with tip right","sbrief":"U arrow with tip right"}},"key":"21B1"},{"category":"So","mappings":{"default":{"default":"downwards arrow with tip leftwards","short":"down arrow with tip left"},"mathspeak":{"default":"down-arrow with tip left","sbrief":"D arrow with tip left"}},"key":"21B2"},{"category":"So","mappings":{"default":{"default":"downwards arrow with tip rightwards","short":"down arrow with tip right"},"mathspeak":{"default":"down-arrow with tip right","sbrief":"D arrow with tip right"}},"key":"21B3"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with corner downwards","short":"right arrow with corner down"},"mathspeak":{"default":"right-arrow with corner down","sbrief":"R arrow with corner down"}},"key":"21B4"},{"category":"So","mappings":{"default":{"default":"downwards arrow with corner leftwards","short":"down arrow with corner left"},"mathspeak":{"default":"down-arrow with corner left","sbrief":"D arrow with corner left"}},"key":"21B5"},{"category":"So","mappings":{"default":{"default":"anticlockwise top semicircle arrow"}},"key":"21B6"},{"category":"So","mappings":{"default":{"default":"clockwise top semicircle arrow"}},"key":"21B7"},{"category":"So","mappings":{"default":{"default":"north west arrow to long bar","short":"up left arrow to long bar"},"mathspeak":{"default":"up left-arrow to long bar","sbrief":"U L arrow to long bar"}},"key":"21B8"},{"category":"So","mappings":{"default":{"default":"leftwards arrow to bar over rightwards arrow to bar","short":"left arrow to bar over right arrow to bar"},"mathspeak":{"default":"left-arrow to bar over right-arrow to bar","sbrief":"L arrow to bar over R arrow to bar"}},"key":"21B9"},{"category":"So","mappings":{"default":{"default":"anticlockwise open circle arrow"}},"key":"21BA"},{"category":"So","mappings":{"default":{"default":"clockwise open circle arrow"}},"key":"21BB"},{"category":"So","mappings":{"default":{"default":"rightwards arrow over leftwards arrow","short":"right arrow over left arrow"},"mathspeak":{"default":"right-arrow over left-arrow","sbrief":"R arrow over L arrow"}},"key":"21C4"},{"category":"So","mappings":{"default":{"default":"upwards arrow leftwards of downwards arrow","short":"up arrow left of down arrow"},"mathspeak":{"default":"up-arrow left of down-arrow","sbrief":"U arrow L of D arrow"}},"key":"21C5"},{"category":"So","mappings":{"default":{"default":"leftwards arrow over rightwards arrow","short":"left arrow over right arrow"},"mathspeak":{"default":"left-arrow over right-arrow","sbrief":"L arrow over R arrow"}},"key":"21C6"},{"category":"So","mappings":{"default":{"default":"leftwards paired arrows","short":"left paired arrows"},"mathspeak":{"sbrief":"L paired arrows"}},"key":"21C7"},{"category":"So","mappings":{"default":{"default":"upwards paired arrows","short":"up paired arrows"},"mathspeak":{"sbrief":"U paired arrows"}},"key":"21C8"},{"category":"So","mappings":{"default":{"default":"rightwards paired arrows","short":"right paired arrows"},"mathspeak":{"sbrief":"R paired arrows"}},"key":"21C9"},{"category":"So","mappings":{"default":{"default":"downwards paired arrows","short":"down paired arrows"},"mathspeak":{"sbrief":"D paired arrows"}},"key":"21CA"},{"category":"So","mappings":{"default":{"default":"leftwards double arrow with stroke","short":"left double arrow with stroke"},"mathspeak":{"sbrief":"L double arrow with stroke"}},"key":"21CD"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow with stroke"},"mathspeak":{"sbrief":"L R double arrow with stroke"}},"key":"21CE"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow with stroke","short":"right double arrow with stroke"},"mathspeak":{"sbrief":"R double arrow with stroke"}},"key":"21CF"},{"category":"So","mappings":{"default":{"default":"leftwards double arrow","short":"left double arrow"},"mathspeak":{"sbrief":"L double arrow"}},"key":"21D0"},{"category":"So","mappings":{"default":{"default":"upwards double arrow","short":"up double arrow"},"mathspeak":{"sbrief":"U double arrow"}},"key":"21D1"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow","short":"right double arrow"},"mathspeak":{"sbrief":"R double arrow"}},"key":"21D2"},{"category":"So","mappings":{"default":{"default":"downwards double arrow","short":"down double arrow"},"mathspeak":{"sbrief":"d double arrow"}},"key":"21D3"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow"},"mathspeak":{"sbrief":"L R double arrow"}},"key":"21D4"},{"category":"So","mappings":{"default":{"default":"up down double arrow"},"mathspeak":{"sbrief":"U d double arrow"}},"key":"21D5"},{"category":"So","mappings":{"default":{"default":"north west double arrow","short":"up left double arrow"},"mathspeak":{"sbrief":"U L double arrow"}},"key":"21D6"},{"category":"So","mappings":{"default":{"default":"north east double arrow","short":"up right double arrow"},"mathspeak":{"sbrief":"U R double arrow"}},"key":"21D7"},{"category":"So","mappings":{"default":{"default":"south east double arrow","short":"down right double arrow"},"mathspeak":{"sbrief":"d R double arrow"}},"key":"21D8"},{"category":"So","mappings":{"default":{"default":"south west double arrow","short":"down left double arrow"},"mathspeak":{"sbrief":"d L double arrow"}},"key":"21D9"},{"category":"So","mappings":{"default":{"default":"leftwards triple arrow","short":"left triple arrow"},"mathspeak":{"sbrief":"L triple arrow"}},"key":"21DA"},{"category":"So","mappings":{"default":{"default":"rightwards triple arrow","short":"right triple arrow"},"mathspeak":{"sbrief":"r triple arrow"}},"key":"21DB"},{"category":"So","mappings":{"default":{"default":"leftwards squiggle arrow","short":"left squiggle arrow"},"mathspeak":{"sbrief":"L squiggle arrow"}},"key":"21DC"},{"category":"So","mappings":{"default":{"default":"rightwards squiggle arrow","short":"right squiggle arrow"},"mathspeak":{"sbrief":"r squiggle arrow"}},"key":"21DD"},{"category":"So","mappings":{"default":{"default":"upwards arrow with double stroke","short":"up arrow with double stroke"},"mathspeak":{"default":"up-arrow with double stroke","sbrief":"U arrow with double stroke"}},"key":"21DE"},{"category":"So","mappings":{"default":{"default":"downwards arrow with double stroke","short":"down arrow with double stroke"},"mathspeak":{"default":"down-arrow with double stroke","sbrief":"D arrow with double stroke"}},"key":"21DF"},{"category":"So","mappings":{"default":{"default":"leftwards dasheD arrow","short":"left dasheD arrow"},"mathspeak":{"sbrief":"L dasheD arrow"}},"key":"21E0"},{"category":"So","mappings":{"default":{"default":"upwards dasheD arrow","short":"up dasheD arrow"},"mathspeak":{"sbrief":"U dasheD arrow"}},"key":"21E1"},{"category":"So","mappings":{"default":{"default":"rightwards dasheD arrow","short":"right dasheD arrow"},"mathspeak":{"sbrief":"r dasheD arrow"}},"key":"21E2"},{"category":"So","mappings":{"default":{"default":"downwards dasheD arrow","short":"down dasheD arrow"},"mathspeak":{"sbrief":"d dasheD arrow"}},"key":"21E3"},{"category":"So","mappings":{"default":{"default":"leftwards arrow to bar","short":"left arrow to bar"},"mathspeak":{"default":"left-arrow to bar","sbrief":"L arrow to bar"}},"key":"21E4"},{"category":"So","mappings":{"default":{"default":"rightwards arrow to bar","short":"right arrow to bar"},"mathspeak":{"default":"right-arrow to bar","sbrief":"R arrow to bar"}},"key":"21E5"},{"category":"So","mappings":{"default":{"default":"leftwards white arrow","short":"white left arrow"},"mathspeak":{"default":"white left-arrow","sbrief":"white L arrow"}},"key":"21E6"},{"category":"So","mappings":{"default":{"default":"upwards white arrow","short":"white up arrow"},"mathspeak":{"default":"white up-arrow","sbrief":"white U arrow"}},"key":"21E7"},{"category":"So","mappings":{"default":{"default":"rightwards white arrow","short":"white right arrow"},"mathspeak":{"default":"white right-arrow","sbrief":"white R arrow"}},"key":"21E8"},{"category":"So","mappings":{"default":{"default":"downwards white arrow","short":"white down arrow"},"mathspeak":{"default":"white down-arrow","sbrief":"white D arrow"}},"key":"21E9"},{"category":"So","mappings":{"default":{"default":"upwards white arrow from bar","short":"white up arrow from bar"},"mathspeak":{"default":"white up-arrow from bar","sbrief":"white U arrow from bar"}},"key":"21EA"},{"category":"So","mappings":{"default":{"default":"upwards white arrow on pedestal","alternative":"up white arrow on pedestal","short":"white up arrow on pedestal"},"mathspeak":{"default":"white up-arrow on pedestal","sbrief":"white U arrow on pedestal"}},"key":"21EB"},{"category":"So","mappings":{"default":{"default":"upwards white arrow on pedestal with horizontal bar","alternative":"up white arrow on pedestal with horizontal bar","short":"white up arrow on pedestal with horizontal bar"},"mathspeak":{"default":"white up-arrow on pedestal with horizontal bar","sbrief":"white U arrow on pedestal with horizontal bar"}},"key":"21EC"},{"category":"So","mappings":{"default":{"default":"upwards white arrow on pedestal with vertical bar","alternative":"up white arrow on pedestal with vertical bar","short":"white up arrow on pedestal with vertical bar"},"mathspeak":{"default":"white up-arrow on pedestal with vertical bar","sbrief":"white U arrow on pedestal with vertical bar"}},"key":"21ED"},{"category":"So","mappings":{"default":{"default":"upwards white double arrow","alternative":"up white double arrow","short":"white double up arrow"},"mathspeak":{"default":"white double up-arrow","sbrief":"white double U arrow"}},"key":"21EE"},{"category":"So","mappings":{"default":{"default":"upwards white double arrow on pedestal","alternative":"up white double arrow on pedestal","short":"white double up arrow on pedestal"},"mathspeak":{"default":"white double up-arrow on pedestal","sbrief":"white double U arrow on pedestal"}},"key":"21EF"},{"category":"So","mappings":{"default":{"default":"rightwards white arrow from wall","alternative":"right white arrow from wall","short":"white right arrow from wall"},"mathspeak":{"default":"white right-arrow from wall","sbrief":"white R arrow from wall"}},"key":"21F0"},{"category":"So","mappings":{"default":{"default":"north west arrow to corner"}},"key":"21F1"},{"category":"So","mappings":{"default":{"default":"south east arrow to corner"}},"key":"21F2"},{"category":"So","mappings":{"default":{"default":"up down white arrow"},"mathspeak":{"sbrief":"U d white arrow"}},"key":"21F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with small circle"},"mathspeak":{"default":"right-arrow with small circle","sbrief":"R arrow with small circle"}},"key":"21F4"},{"category":"Sm","mappings":{"default":{"default":"down arrow leftwards of upwards arrow","short":"down arrow left of up arrow"},"mathspeak":{"default":"down-arrow left of up-arrow","sbrief":"D arrow l of U arrow"}},"key":"21F5"},{"category":"Sm","mappings":{"default":{"default":"three rightwards arrows","short":"three right arrows"},"mathspeak":{"default":"three right-arrows","sbrief":"three R arrows"}},"key":"21F6"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with vertical stroke","short":"left arrow with vertical stroke"},"mathspeak":{"default":"left-arrow with vertical stroke","sbrief":"L arrow with vertical stroke"}},"key":"21F7"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with vertical stroke","short":"right arrow with vertical stroke"},"mathspeak":{"default":"right-arrow with vertical stroke","sbrief":"R arrow with vertical stroke"}},"key":"21F8"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with vertical stroke"},"mathspeak":{"default":"left-right-arrow with vertical stroke","sbrief":"L R arrow with vertical stroke"}},"key":"21F9"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with double vertical stroke","short":"left arrow with double vertical stroke"},"mathspeak":{"default":"left-arrow with double vertical stroke","sbrief":"L arrow with double vertical stroke"}},"key":"21FA"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with double vertical stroke","short":"right arrow with double vertical stroke"},"mathspeak":{"default":"right-arrow with double vertical stroke","sbrief":"R arrow with double vertical stroke"}},"key":"21FB"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with double vertical stroke"},"mathspeak":{"default":"left-right-arrow with double vertical stroke","sbrief":"L R arrow with double vertical stroke"}},"key":"21FC"},{"category":"Sm","mappings":{"default":{"default":"leftwards open headed arrow","short":"left open headed arrow"},"mathspeak":{"sbrief":"l open headed arrow"}},"key":"21FD"},{"category":"Sm","mappings":{"default":{"default":"rightwards open headed arrow","short":"right open headed arrow"},"mathspeak":{"sbrief":"r open headed arrow"}},"key":"21FE"},{"category":"Sm","mappings":{"default":{"default":"left right open headed arrow"},"mathspeak":{"sbrief":"L R open headed arrow"}},"key":"21FF"},{"category":"So","mappings":{"default":{"default":"electric arrow"}},"key":"2301"},{"category":"So","mappings":{"default":{"default":"up arrowhead"},"mathspeak":{"default":"up-arrowhead","sbrief":"U arrowhead"}},"key":"2303"},{"category":"So","mappings":{"default":{"default":"down arrowhead"},"mathspeak":{"default":"down-arrowhead","sbrief":"D arrowhead"}},"key":"2304"},{"category":"So","mappings":{"default":{"default":"up arrowhead between two horizontal bars","alternative":"enter key"},"mathspeak":{"default":"up-arrowhead between two horizontal bars","sbrief":"U arrowhead between two horizontal bars"}},"key":"2324"},{"category":"So","mappings":{"default":{"default":"broken circle with northwest arrow"}},"key":"238B"},{"category":"So","mappings":{"default":{"default":"heavy wide headed rightwards arrow","short":"heavy wide headed right arrow"},"mathspeak":{"default":"heavy wide headed right-arrow","sbrief":"heavy wide headed R arrow"}},"key":"2794"},{"category":"So","mappings":{"default":{"default":"heavy south east arrow","short":"heavy down right arrow"},"mathspeak":{"default":"heavy down right-arrow","sbrief":"heavy d R arrow"}},"key":"2798"},{"category":"So","mappings":{"default":{"default":"heavy rightwards arrow","short":"heavy right arrow"},"mathspeak":{"default":"heavy right-arrow","sbrief":"heavy R arrow"}},"key":"2799"},{"category":"So","mappings":{"default":{"default":"heavy north east arrow","short":"heavy up right arrow"},"mathspeak":{"default":"heavy up right-arrow","sbrief":"heavy U R arrow"}},"key":"279A"},{"category":"So","mappings":{"default":{"default":"drafting point rightwards arrow","short":"drafting point right arrow"},"mathspeak":{"default":"drafting point right-arrow","sbrief":"drafting point R arrow"}},"key":"279B"},{"category":"So","mappings":{"default":{"default":"heavy round tipped rightwards arrow","short":"heavy round tipped right arrow"},"mathspeak":{"default":"heavy round tipped right-arrow","sbrief":"heavy round tipped R arrow"}},"key":"279C"},{"category":"So","mappings":{"default":{"default":"triangle headed rightwards arrow","short":"triangle headed right arrow"},"mathspeak":{"default":"triangle headed right-arrow","sbrief":"triangle headed R arrow"}},"key":"279D"},{"category":"So","mappings":{"default":{"default":"heavy triangle headed rightwards arrow","short":"heavy triangle headed right arrow"},"mathspeak":{"default":"heavy triangle headed right-arrow","sbrief":"heavy triangle headed R arrow"}},"key":"279E"},{"category":"So","mappings":{"default":{"default":"dashed triangle headed rightwards arrow","short":"dashed triangle headed right arrow"},"mathspeak":{"default":"dashed triangle headed right-arrow","sbrief":"dashed triangle headed R arrow"}},"key":"279F"},{"category":"So","mappings":{"default":{"default":"heavy dashed triangle headed rightwards arrow","short":"heavy dashed triangle headed right arrow"},"mathspeak":{"default":"heavy dashed triangle headed right-arrow","sbrief":"heavy dashed triangle headed R arrow"}},"key":"27A0"},{"category":"So","mappings":{"default":{"default":"black rightwards arrow","short":"black right arrow"},"mathspeak":{"default":"black right-arrow","sbrief":"black R arrow"}},"key":"27A1"},{"category":"So","mappings":{"default":{"default":"three d top lighted rightwards arrowhead","short":"three d top lighted right arrowhead"},"mathspeak":{"default":"three d top lighted right-arrowhead","sbrief":"three d top lighted R arrowhead"}},"key":"27A2"},{"category":"So","mappings":{"default":{"default":"three d bottom lighted rightwards arrowhead","short":"three d bottom lighted right arrowhead"},"mathspeak":{"default":"three d bottom lighted right-arrowhead","sbrief":"three d bottom lighted R arrowhead"}},"key":"27A3"},{"category":"So","mappings":{"default":{"default":"black rightwards arrowhead","short":"black right arrowhead"},"mathspeak":{"default":"black right-arrowhead","sbrief":"black R arrowhead"}},"key":"27A4"},{"category":"So","mappings":{"default":{"default":"heavy black curved downwards and rightwards arrow","short":"heavy black curved down and right arrow"},"mathspeak":{"default":"heavy black curved down and right-arrow","sbrief":"heavy black curved d and R arrow"}},"key":"27A5"},{"category":"So","mappings":{"default":{"default":"heavy black curved upwards and rightwards arrow","short":"heavy black curved up and right arrow"},"mathspeak":{"default":"heavy black curved up and right-arrow","sbrief":"heavy black curved U and R arrow"}},"key":"27A6"},{"category":"So","mappings":{"default":{"default":"squat black rightwards arrow","short":"squat black right arrow"},"mathspeak":{"default":"squat black right-arrow","sbrief":"squat black R arrow"}},"key":"27A7"},{"category":"So","mappings":{"default":{"default":"heavy concave pointed black rightwards arrow","short":"heavy concave pointed black right arrow"},"mathspeak":{"default":"heavy concave pointed black right-arrow","sbrief":"heavy concave pointed black R arrow"}},"key":"27A8"},{"category":"So","mappings":{"default":{"default":"right shaded white rightwards arrow","short":"right shaded white right arrow"},"mathspeak":{"default":"right shaded white right-arrow","sbrief":"right shaded white R arrow"}},"key":"27A9"},{"category":"So","mappings":{"default":{"default":"left shaded white rightwards arrow","short":"left shaded white right arrow"},"mathspeak":{"default":"left shaded white right-arrow","sbrief":"left shaded white R arrow"}},"key":"27AA"},{"category":"So","mappings":{"default":{"default":"back tilted shadowed white rightwards arrow","short":"back tilted shadowed white right arrow"},"mathspeak":{"default":"back tilted shadowed white right-arrow","sbrief":"back tilted shadowed white R arrow"}},"key":"27AB"},{"category":"So","mappings":{"default":{"default":"front tilted shadowed white rightwards arrow","short":"front tilted shadowed white right arrow"},"mathspeak":{"default":"front tilted shadowed white right-arrow","sbrief":"front tilted shadowed white R arrow"}},"key":"27AC"},{"category":"So","mappings":{"default":{"default":"heavy lower right shadowed white rightwards arrow","short":"heavy lower right shadowed white right arrow"},"mathspeak":{"default":"heavy lower right shadowed white right-arrow","sbrief":"heavy lower right shadowed white R arrow"}},"key":"27AD"},{"category":"So","mappings":{"default":{"default":"heavy upper right shadowed white rightwards arrow","short":"heavy upper right shadowed white right arrow"},"mathspeak":{"default":"heavy upper right shadowed white right-arrow","sbrief":"heavy upper right shadowed white R arrow"}},"key":"27AE"},{"category":"So","mappings":{"default":{"default":"notched lower right shadowed white rightwards arrow","short":"notched lower right shadowed white right arrow"},"mathspeak":{"default":"notched lower right shadowed white right-arrow","sbrief":"notched lower right shadowed white R arrow"}},"key":"27AF"},{"category":"So","mappings":{"default":{"default":"notched upper right shadowed white rightwards arrow","short":"notched upper right shadowed white right arrow"},"mathspeak":{"default":"notched upper right shadowed white right-arrow","sbrief":"notched upper right shadowed white R arrow"}},"key":"27B1"},{"category":"So","mappings":{"default":{"default":"circled heavy white rightwards arrow","short":"circled heavy white right arrow"},"mathspeak":{"default":"circled heavy white right-arrow","sbrief":"circled heavy white R arrow"}},"key":"27B2"},{"category":"So","mappings":{"default":{"default":"white feathered rightwards arrow","short":"white feathered right arrow"},"mathspeak":{"default":"white feathered right-arrow","sbrief":"white feathered R arrow"}},"key":"27B3"},{"category":"So","mappings":{"default":{"default":"black feathered south east arrow","short":"black feathered down right arrow"},"mathspeak":{"default":"black feathered down right-arrow","sbrief":"black feathered d R arrow"}},"key":"27B4"},{"category":"So","mappings":{"default":{"default":"black feathered rightwards arrow","short":"black feathered right arrow"},"mathspeak":{"default":"black feathered right-arrow","sbrief":"black feathered R arrow"}},"key":"27B5"},{"category":"So","mappings":{"default":{"default":"black feathered north east arrow","short":"black feathered up right arrow"},"mathspeak":{"default":"black feathered up right-arrow","sbrief":"black feathered U R arrow"}},"key":"27B6"},{"category":"So","mappings":{"default":{"default":"heavy black feathered south east arrow","short":"heavy black feathered down right arrow"},"mathspeak":{"default":"heavy black feathered down right-arrow","sbrief":"heavy black feathered d R arrow"}},"key":"27B7"},{"category":"So","mappings":{"default":{"default":"heavy black feathered rightwards arrow","short":"heavy black feathered right arrow"},"mathspeak":{"default":"heavy black feathered right-arrow","sbrief":"heavy black feathered R arrow"}},"key":"27B8"},{"category":"So","mappings":{"default":{"default":"heavy black feathered north east arrow","short":"heavy black feathered up right arrow"},"mathspeak":{"default":"heavy black feathered up right-arrow","sbrief":"heavy black feathered U R arrow"}},"key":"27B9"},{"category":"So","mappings":{"default":{"default":"teardrop barbed rightwards arrow","short":"teardrop barbed right arrow"},"mathspeak":{"default":"teardrop barbed right-arrow","sbrief":"teardrop barbed R arrow"}},"key":"27BA"},{"category":"So","mappings":{"default":{"default":"heavy teardrop shanked rightwards arrow","short":"heavy teardrop shanked right arrow"},"mathspeak":{"default":"heavy teardrop shanked right-arrow","sbrief":"heavy teardrop shanked R arrow"}},"key":"27BB"},{"category":"So","mappings":{"default":{"default":"wedge tailed rightwards arrow","short":"wedge tailed right arrow"},"mathspeak":{"default":"wedge tailed right-arrow","sbrief":"wedge tailed R arrow"}},"key":"27BC"},{"category":"So","mappings":{"default":{"default":"heavy wedge tailed rightwards arrow","short":"heavy wedge tailed right arrow"},"mathspeak":{"default":"heavy wedge tailed right-arrow","sbrief":"heavy wedge tailed R arrow"}},"key":"27BD"},{"category":"So","mappings":{"default":{"default":"open outlined rightwards arrow","short":"open outlined right arrow"},"mathspeak":{"default":"open outlined right-arrow","sbrief":"open outlined R arrow"}},"key":"27BE"},{"category":"Sm","mappings":{"default":{"default":"upwards quadruple arrow","short":"up quadruple arrow"},"mathspeak":{"sbrief":"U quadruple arrow"}},"key":"27F0"},{"category":"Sm","mappings":{"default":{"default":"downwards quadruple arrow","short":"down quadruple arrow"},"mathspeak":{"sbrief":"d quadrule arrow"}},"key":"27F1"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise gapped circle arrow"}},"key":"27F2"},{"category":"Sm","mappings":{"default":{"default":"clockwise gapped circle arrow"}},"key":"27F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with circled plus"},"mathspeak":{"default":"right-arrow with circled plus","sbrief":"R arrow with circled plus"}},"key":"27F4"},{"category":"Sm","mappings":{"default":{"default":"long leftwards arrow","short":"long left arrow"},"mathspeak":{"default":"long left-arrow","sbrief":"long L arrow"}},"key":"27F5"},{"category":"Sm","mappings":{"default":{"default":"long rightwards arrow","short":"long right arrow"},"mathspeak":{"default":"long right-arrow","sbrief":"long R arrow"}},"key":"27F6"},{"category":"Sm","mappings":{"default":{"default":"long left right arrow"},"mathspeak":{"default":"long left-right-arrow","sbrief":"long L R arrow"}},"key":"27F7"},{"category":"Sm","mappings":{"default":{"default":"long leftwards double arrow","short":"long left double arrow"},"mathspeak":{"sbrief":"long l double arrow"}},"key":"27F8"},{"category":"Sm","mappings":{"default":{"default":"long rightwards double arrow","short":"long right double arrow"},"mathspeak":{"sbrief":"long R double arrow"}},"key":"27F9"},{"category":"Sm","mappings":{"default":{"default":"long left right double arrow"},"mathspeak":{"sbrief":"long L R double arrow"}},"key":"27FA"},{"category":"Sm","mappings":{"default":{"default":"long leftwards arrow from bar","short":"long left arrow from bar"},"mathspeak":{"default":"long left-arrow from bar","sbrief":"long L arrow from bar"}},"key":"27FB"},{"category":"Sm","mappings":{"default":{"default":"long rightwards arrow from bar","short":"long right arrow from bar"},"mathspeak":{"default":"long right-arrow from bar","sbrief":"long R arrow from bar"}},"key":"27FC"},{"category":"Sm","mappings":{"default":{"default":"long leftwards double arrow from bar","short":"long left double arrow from bar"},"mathspeak":{"sbrief":"long l double arrow from bar"}},"key":"27FD"},{"category":"Sm","mappings":{"default":{"default":"long rightwards double arrow from bar","short":"long right double arrow from bar"},"mathspeak":{"sbrief":"long R double arrow from bar"}},"key":"27FE"},{"category":"Sm","mappings":{"default":{"default":"long rightwards squiggle arrow","short":"long right squiggle arrow"},"mathspeak":{"sbrief":"long r squiggle arrow"}},"key":"27FF"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with vertical stroke","alternative":"right two headed arrow with vertical stroke","short":"two headed right arrow with vertical stroke"},"mathspeak":{"default":"two headed right-arrow with vertical stroke","sbrief":"two headed R arrow with vertical stroke"}},"key":"2900"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with double vertical stroke","alternative":"right two headed arrow with double vertical stroke","short":"two headed right arrow with double vertical stroke"},"mathspeak":{"default":"two headed right-arrow with double vertical stroke","sbrief":"two headed R arrow with double vertical stroke"}},"key":"2901"},{"category":"Sm","mappings":{"default":{"default":"leftwards double arrow with vertical stroke","alternative":"left double arrow with vertical stroke","short":"double left arrow with vertical stroke"},"mathspeak":{"default":"double left-arrow with vertical stroke","sbrief":"double L arrow with vertical stroke"}},"key":"2902"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow with vertical stroke","alternative":"right double arrow with vertical stroke","short":"double right arrow with vertical stroke"},"mathspeak":{"default":"double right-arrow with vertical stroke","sbrief":"double R arrow with vertical stroke"}},"key":"2903"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow with vertical stroke","short":"double left right arrow with vertical stroke"},"mathspeak":{"default":"double left-right-arrow with vertical stroke","sbrief":"double L R arrow with vertical stroke"}},"key":"2904"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow from bar","alternative":"right two headed arrow from bar","short":"two headed right arrow from bar"},"mathspeak":{"default":"two headed right-arrow from bar","sbrief":"two headed R arrow from bar"}},"key":"2905"},{"category":"Sm","mappings":{"default":{"default":"leftwards double arrow from bar","alternative":"left double arrow from bar","short":"double left arrow from bar"},"mathspeak":{"default":"double left-arrow from bar","sbrief":"double L arrow from bar"}},"key":"2906"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow from bar","alternative":"right double arrow from bar","short":"double right arrow from bar"},"mathspeak":{"default":"double right-arrow from bar","sbrief":"double R arrow from bar"}},"key":"2907"},{"category":"Sm","mappings":{"default":{"default":"downwards arrow with horizontal stroke","alternative":"down arrow with horizontal stroke","short":"arrow down with horizontal stroke"}},"key":"2908"},{"category":"Sm","mappings":{"default":{"default":"upwards arrow with horizontal stroke","short":"up arrow with horizontal stroke"},"mathspeak":{"default":"up-arrow with horizontal stroke","sbrief":"U arrow with horizontal stroke"}},"key":"2909"},{"category":"Sm","mappings":{"default":{"default":"upwards triple arrow","short":"up triple arrow"},"mathspeak":{"sbrief":"U triple arrow"}},"key":"290A"},{"category":"Sm","mappings":{"default":{"default":"downwards triple arrow","short":"down triple arrow"},"mathspeak":{"sbrief":"d triple arrow"}},"key":"290B"},{"category":"Sm","mappings":{"default":{"default":"leftwards double dash arrow","short":"left double dash arrow"},"mathspeak":{"sbrief":"l double dash arrow"}},"key":"290C"},{"category":"Sm","mappings":{"default":{"default":"rightwards double dash arrow","short":"right double dash arrow"},"mathspeak":{"sbrief":"R double dash arrow"}},"key":"290D"},{"category":"Sm","mappings":{"default":{"default":"leftwards triple dash arrow","short":"left triple dash arrow"},"mathspeak":{"sbrief":"l triple dash arrow"}},"key":"290E"},{"category":"Sm","mappings":{"default":{"default":"rightwards triple dash arrow","short":"right triple dash arrow"},"mathspeak":{"sbrief":"r triple dash arrow"}},"key":"290F"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed triple dash arrow","short":"right two headed triple dash arrow"},"mathspeak":{"sbrief":"r two headed triple dash arrow"}},"key":"2910"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with dotted stem","short":"right arrow with dotted stem"},"mathspeak":{"default":"right-arrow with dotted stem","sbrief":"R arrow with dotted stem"}},"key":"2911"},{"category":"Sm","mappings":{"default":{"default":"upwards arrow to bar","short":"up arrow to bar"},"mathspeak":{"default":"up-arrow to bar","sbrief":"U arrow to bar"}},"key":"2912"},{"category":"Sm","mappings":{"default":{"default":"downwards arrow to bar","short":"down arrow to bar"},"mathspeak":{"default":"down-arrow to bar","sbrief":"D arrow to bar"}},"key":"2913"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with tail with vertical stroke","short":"right arrow with tail with vertical stroke"},"mathspeak":{"default":"right-arrow with tail with vertical stroke","sbrief":"R arrow with tail with vertical stroke"}},"key":"2914"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with tail with double vertical stroke","short":"right arrow with tail with double vertical stroke"},"mathspeak":{"default":"right-arrow with tail with double vertical stroke","sbrief":"R arrow with tail with double vertical stroke"}},"key":"2915"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with tail","short":"right two headed arrow with tail"},"mathspeak":{"sbrief":"r two headed arrow with tail"}},"key":"2916"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with tail with vertical stroke","short":"right two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with vertical stroke"}},"key":"2917"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with tail with double vertical stroke","short":"right two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with double vertical stroke"}},"key":"2918"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow tail","short":"left arrow tail"},"mathspeak":{"default":"left-arrow tail","sbrief":"L arrow tail"}},"key":"2919"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow tail","short":"right arrow tail"},"mathspeak":{"default":"right-arrow tail","sbrief":"R arrow tail"}},"key":"291A"},{"category":"Sm","mappings":{"default":{"default":"leftwards double arrow tail","short":"left double arrow tail"},"mathspeak":{"sbrief":"l double arrow tail"}},"key":"291B"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow tail","short":"right double arrow tail"},"mathspeak":{"sbrief":"R double arrow tail"}},"key":"291C"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow to black diamond","short":"left arrow to black diamond"},"mathspeak":{"default":"left-arrow to black diamond","sbrief":"L arrow to black diamond"}},"key":"291D"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow to black diamond","short":"right arrow to black diamond"},"mathspeak":{"default":"right-arrow to black diamond","sbrief":"R arrow to black diamond"}},"key":"291E"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow from bar to black diamond","short":"left arrow from bar to black diamond"},"mathspeak":{"default":"left-arrow from bar to black diamond","sbrief":"L arrow from bar to black diamond"}},"key":"291F"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow from bar to black diamond","short":"right arrow from bar to black diamond"},"mathspeak":{"default":"right-arrow from bar to black diamond","sbrief":"R arrow from bar to black diamond"}},"key":"2920"},{"category":"Sm","mappings":{"default":{"default":"north west and south east arrow"}},"key":"2921"},{"category":"Sm","mappings":{"default":{"default":"north east and south west arrow"}},"key":"2922"},{"category":"Sm","mappings":{"default":{"default":"north west arrow with hook"}},"key":"2923"},{"category":"Sm","mappings":{"default":{"default":"north east arrow with hook"}},"key":"2924"},{"category":"Sm","mappings":{"default":{"default":"south east arrow with hook"}},"key":"2925"},{"category":"Sm","mappings":{"default":{"default":"south west arrow with hook"}},"key":"2926"},{"category":"Sm","mappings":{"default":{"default":"north west arrow and north east arrow"}},"key":"2927"},{"category":"Sm","mappings":{"default":{"default":"north east arrow and south east arrow"}},"key":"2928"},{"category":"Sm","mappings":{"default":{"default":"south east arrow and south west arrow"}},"key":"2929"},{"category":"Sm","mappings":{"default":{"default":"south west arrow and north west arrow"}},"key":"292A"},{"category":"Sm","mappings":{"default":{"default":"south east arrow crossing north east arrow"}},"key":"292D"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing south east arrow"}},"key":"292E"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing north east arrow"}},"key":"292F"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing south east arrow"}},"key":"2930"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing north west arrow"}},"key":"2931"},{"category":"Sm","mappings":{"default":{"default":"north west arrow crossing north east arrow"}},"key":"2932"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly right"}},"key":"2933"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing rightwards then curving upwards","short":"arrow pointing right then curving up"}},"key":"2934"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing rightwards then curving downwards","short":"arrow pointing right then curving down"}},"key":"2935"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing downwards then curving leftwards","short":"arrow pointing down then curving left"}},"key":"2936"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing downwards then curving rightwards","short":"arrow pointing down then curving right"}},"key":"2937"},{"category":"Sm","mappings":{"default":{"default":"right side arc clockwise arrow"},"mathspeak":{"sbrief":"r side arc clockwise arrow"}},"key":"2938"},{"category":"Sm","mappings":{"default":{"default":"left side arc anticlockwise arrow"},"mathspeak":{"sbrief":"l side arc anticlockwise arrow"}},"key":"2939"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow"}},"key":"293A"},{"category":"Sm","mappings":{"default":{"default":"bottom arc anticlockwise arrow"}},"key":"293B"},{"category":"Sm","mappings":{"default":{"default":"top arc clockwise arrow with minus"}},"key":"293C"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow with plus"}},"key":"293D"},{"category":"Sm","mappings":{"default":{"default":"lower right semicircular clockwise arrow","short":"down right semicircular clockwise arrow"},"mathspeak":{"sbrief":"d r semicircular clockwise arrow"}},"key":"293E"},{"category":"Sm","mappings":{"default":{"default":"lower left semicircular anticlockwise arrow","short":"down left semicircular anticlockwise arrow"},"mathspeak":{"sbrief":"d l semicircular anticlockwise arrow"}},"key":"293F"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise closed circle arrow"}},"key":"2940"},{"category":"Sm","mappings":{"default":{"default":"clockwise closed circle arrow"}},"key":"2941"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above short leftwards arrow","short":"right arrow above short left arrow"},"mathspeak":{"default":"right-arrow above short left-arrow","sbrief":"R arrow above short L arrow"}},"key":"2942"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above short rightwards arrow","short":"left arrow above short right arrow"},"mathspeak":{"default":"left-arrow above short right-arrow","sbrief":"L arrow above short R arrow"}},"key":"2943"},{"category":"Sm","mappings":{"default":{"default":"short rightwards arrow above leftwards arrow","short":"short right arrow above left arrow"},"mathspeak":{"default":"short right-arrow above left-arrow","sbrief":"short R arrow above L arrow"}},"key":"2944"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with plus below","short":"right arrow with plus below"},"mathspeak":{"default":"right-arrow with plus below","sbrief":"R arrow with plus below"}},"key":"2945"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with plus below","short":"left arrow with plus below"},"mathspeak":{"default":"left-arrow with plus below","sbrief":"L arrow with plus below"}},"key":"2946"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow through x","short":"right arrow through x"},"mathspeak":{"default":"right-arrow through x","sbrief":"R arrow through x"}},"key":"2947"},{"category":"Sm","mappings":{"default":{"default":"left right arrow through small circle"},"mathspeak":{"default":"left-right-arrow through small circle","sbrief":"L R arrow through small circle"}},"key":"2948"},{"category":"Sm","mappings":{"default":{"default":"upwards two headed arrow from small circle","short":"up two headed arrow from small circle"},"mathspeak":{"sbrief":"U two headed arrow from small circle"}},"key":"2949"},{"category":"Sm","mappings":{"default":{"default":"right double arrow with rounded head"},"mathspeak":{"sbrief":"R double arrow with rounded head"}},"key":"2970"},{"category":"Sm","mappings":{"default":{"default":"equals sign above rightwards arrow","short":"equals sign above right arrow"},"mathspeak":{"default":"equals sign above right-arrow","sbrief":"equals sign above R arrow"}},"key":"2971"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above rightwards arrow","short":"tilde operator above right arrow"},"mathspeak":{"default":"tilde operator above right-arrow","sbrief":"tilde operator above R arrow"}},"key":"2972"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above tilde operator","short":"left arrow above tilde operator"},"mathspeak":{"default":"left-arrow above tilde operator","sbrief":"L arrow above tilde operator"}},"key":"2973"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above tilde operator","short":"right arrow above tilde operator"},"mathspeak":{"default":"right-arrow above tilde operator","sbrief":"R arrow above tilde operator"}},"key":"2974"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above almost equals","short":"right arrow above almost equals"},"mathspeak":{"default":"right-arrow above almost equals","sbrief":"R arrow above almost equals"}},"key":"2975"},{"category":"Sm","mappings":{"default":{"default":"less than above leftwards arrow","short":"less than above left arrow"},"mathspeak":{"default":"less than above left-arrow","sbrief":"less than above L arrow"}},"key":"2976"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow through less than","short":"left arrow through less than"},"mathspeak":{"default":"left-arrow through less than","sbrief":"L arrow through less than"}},"key":"2977"},{"category":"Sm","mappings":{"default":{"default":"greater than above rightwards arrow","short":"greater than above right arrow"},"mathspeak":{"default":"greater than above right-arrow","sbrief":"greater than above R arrow"}},"key":"2978"},{"category":"Sm","mappings":{"default":{"default":"subset above rightwards arrow","short":"subset above right arrow"},"mathspeak":{"default":"subset above right-arrow","sbrief":"subset above R arrow"}},"key":"2979"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow through subset","short":"left arrow through subset"},"mathspeak":{"default":"left-arrow through subset","sbrief":"L arrow through subset"}},"key":"297A"},{"category":"Sm","mappings":{"default":{"default":"superset above leftwards arrow","short":"superset above left arrow"},"mathspeak":{"default":"superset above left-arrow","sbrief":"suerset above L arrow"}},"key":"297B"},{"category":"Sm","mappings":{"default":{"default":"empty set with right arrow above"},"mathspeak":{"default":"empty set with right-arrow above","sbrief":"empty set with R arrow above"}},"key":"29B3"},{"category":"Sm","mappings":{"default":{"default":"empty set with left arrow above"},"mathspeak":{"default":"empty set with left-arrow above","sbrief":"empty set with L arrow above"}},"key":"29B4"},{"category":"Sm","mappings":{"default":{"default":"up arrow through circle"},"mathspeak":{"default":"up-arrow through circle","sbrief":"U arrow through circle"}},"key":"29BD"},{"category":"Sm","mappings":{"default":{"default":"black diamond with down arrow"},"mathspeak":{"default":"black diamond with down-arrow","sbrief":"black diamond with D arrow"}},"key":"29EA"},{"category":"Sm","mappings":{"default":{"default":"white circle with down arrow"},"mathspeak":{"default":"white circle with down-arrow","sbrief":"white circle with D arrow"}},"key":"29EC"},{"category":"Sm","mappings":{"default":{"default":"black circle with down arrow"},"mathspeak":{"default":"black circle with down-arrow","sbrief":"black circle with D arrow"}},"key":"29ED"},{"category":"Sm","mappings":{"default":{"default":"integral with leftwards arrow with hook","short":"integral with left arrow with hook"},"mathspeak":{"default":"integral with left-arrow with hook","sbrief":"integral with L arrow with hook"}},"key":"2A17"},{"category":"So","mappings":{"default":{"default":"north east white arrow"}},"key":"2B00"},{"category":"So","mappings":{"default":{"default":"north west white arrow"}},"key":"2B01"},{"category":"So","mappings":{"default":{"default":"south east white arrow"}},"key":"2B02"},{"category":"So","mappings":{"default":{"default":"south west white arrow"}},"key":"2B03"},{"category":"So","mappings":{"default":{"default":"left right white arrow"},"mathspeak":{"sbrief":"L R white arrow"}},"key":"2B04"},{"category":"So","mappings":{"default":{"default":"leftwards black arrow","short":"left black arrow"},"mathspeak":{"sbrief":"L black arrow"}},"key":"2B05"},{"category":"So","mappings":{"default":{"default":"upwards black arrow","short":"up black arrow"},"mathspeak":{"sbrief":"U black arrow"}},"key":"2B06"},{"category":"So","mappings":{"default":{"default":"downwards black arrow","short":"down black arrow"},"mathspeak":{"sbrief":"D black arrow"}},"key":"2B07"},{"category":"So","mappings":{"default":{"default":"north east black arrow"}},"key":"2B08"},{"category":"So","mappings":{"default":{"default":"north west black arrow"}},"key":"2B09"},{"category":"So","mappings":{"default":{"default":"south east black arrow"}},"key":"2B0A"},{"category":"So","mappings":{"default":{"default":"south west black arrow"}},"key":"2B0B"},{"category":"So","mappings":{"default":{"default":"left right black arrow"},"mathspeak":{"sbrief":"L R black arrow"}},"key":"2B0C"},{"category":"So","mappings":{"default":{"default":"up down black arrow"},"mathspeak":{"sbrief":"U D black arrow"}},"key":"2B0D"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with tip downwards","short":"right arrow with tip down"},"mathspeak":{"default":"right-arrow with tip down","sbrief":"R arrow with tip down"}},"key":"2B0E"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with tip upwards","short":"right arrow with tip up"},"mathspeak":{"default":"right-arrow with tip up","sbrief":"R arrow with tip up"}},"key":"2B0F"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with tip downwards","short":"left arrow with tip down"},"mathspeak":{"default":"left-arrow with tip down","sbrief":"L arrow with tip down"}},"key":"2B10"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with tip upwards","short":"left arrow with tip up"},"mathspeak":{"default":"left-arrow with tip up","sbrief":"L arrow with tip up"}},"key":"2B11"},{"category":"Sm","mappings":{"default":{"default":"left arrow with small circle"},"mathspeak":{"default":"left-arrow with small circle","sbrief":"L arrow with small circle"}},"key":"2B30"},{"category":"Sm","mappings":{"default":{"default":"three leftwards arrows","short":"three left arrows"},"mathspeak":{"default":"three left-arrows","sbrief":"three L arrows"}},"key":"2B31"},{"category":"Sm","mappings":{"default":{"default":"left arrow with circled plus"},"mathspeak":{"default":"left-arrow with circled plus","sbrief":"L arrow with circled plus"}},"key":"2B32"},{"category":"Sm","mappings":{"default":{"default":"long leftwards squiggle arrow","short":"long left squiggle arrow"},"mathspeak":{"sbrief":"long l squiggle arrow"}},"key":"2B33"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with vertical stroke","short":"left two headed arrow with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with vertical stroke"}},"key":"2B34"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with double vertical stroke","short":"left two headed arrow with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with double vertical stroke"}},"key":"2B35"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow from bar","short":"left two headed arrow from bar"},"mathspeak":{"sbrief":"l two headed arrow from bar"}},"key":"2B36"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed triple dash arrow","short":"left two headed triple dash arrow"},"mathspeak":{"sbrief":"l two headed triple dash arrow"}},"key":"2B37"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with dotted stem","short":"left arrow with dotted stem"},"mathspeak":{"default":"left-arrow with dotted stem","sbrief":"L arrow with dotted stem"}},"key":"2B38"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with tail with vertical stroke","short":"left arrow with tail with vertical stroke"},"mathspeak":{"default":"left-arrow with tail with vertical stroke","sbrief":"L arrow with tail with vertical stroke"}},"key":"2B39"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with tail with double vertical stroke","short":"left arrow with tail with double vertical stroke"},"mathspeak":{"default":"left-arrow with tail with double vertical stroke","sbrief":"L arrow with tail with double vertical stroke"}},"key":"2B3A"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with tail","short":"left two headed arrow with tail"},"mathspeak":{"sbrief":"l two headed arrow with tail"}},"key":"2B3B"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with tail with vertical stroke","short":"left two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with vertical stroke"}},"key":"2B3C"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with tail with double vertical stroke","short":"left two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with double vertical stroke"}},"key":"2B3D"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow through x","short":"left arrow through x"},"mathspeak":{"default":"left-arrow through x","sbrief":"L arrow through x"}},"key":"2B3E"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly left"}},"key":"2B3F"},{"category":"Sm","mappings":{"default":{"default":"equals sign above leftwards arrow","short":"equals sign above left arrow"},"mathspeak":{"default":"equals sign above left-arrow","sbrief":"equals sign above L arrow"}},"key":"2B40"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above leftwards arrow","short":"reverse tilde operator above left arrow"},"mathspeak":{"default":"reverse tilde operator above left-arrow","sbrief":"reverse tilde operator above L arrow"}},"key":"2B41"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above reverse almost equals","short":"left arrow above reverse almost equals"},"mathspeak":{"default":"left-arrow above reverse almost equals","sbrief":"L arrow above reverse almost equals"}},"key":"2B42"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow through greater than","short":"right arrow through greater than"},"mathspeak":{"default":"right-arrow through greater than","sbrief":"R arrow through greater than"}},"key":"2B43"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow through superset","short":"right arrow through superset"},"mathspeak":{"default":"right-arrow through superset","sbrief":"R arrow through superset"}},"key":"2B44"},{"category":"So","mappings":{"default":{"default":"leftwards quadruple arrow","short":"left quadruple arrow"},"mathspeak":{"sbrief":"l quadrule arrow"}},"key":"2B45"},{"category":"So","mappings":{"default":{"default":"rightwards quadruple arrow","short":"right quadruple arrow"},"mathspeak":{"sbrief":"r quadrule arrow"}},"key":"2B46"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above rightwards arrow","short":"reverse tilde operator above right arrow"},"mathspeak":{"default":"reverse tilde operator above right-arrow","sbrief":"reverse tilde operator above R arrow"}},"key":"2B47"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above reverse almost equals","short":"right arrow above reverse almost equals"},"mathspeak":{"default":"right-arrow above reverse almost equals","sbrief":"R arrow above reverse almost equals"}},"key":"2B48"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above leftwards arrow","short":"tilde operator above left arrow"},"mathspeak":{"default":"tilde operator above left-arrow","sbrief":"tilde operator above L arrow"}},"key":"2B49"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above almost equals","short":"left arrow above almost equals"},"mathspeak":{"default":"left-arrow above almost equals","sbrief":"L arrow above almost equals"}},"key":"2B4A"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above reverse tilde operator","short":"left arrow above reverse tilde operator"},"mathspeak":{"default":"left-arrow above reverse tilde operator","sbrief":"L arrow above reverse tilde operator"}},"key":"2B4B"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above reverse tilde operator","short":"right arrow above reverse tilde operator"},"mathspeak":{"default":"right-arrow above reverse tilde operator","sbrief":"R arrow above reverse tilde operator"}},"key":"2B4C"},{"category":"Sm","mappings":{"default":{"default":"halfwidth leftwards arrow","short":"halfwidth left arrow"},"mathspeak":{"default":"halfwidth left-arrow","sbrief":"halfwidth L arrow"}},"key":"FFE9"},{"category":"Sm","mappings":{"default":{"default":"halfwidth upwards arrow","short":"halfwidth up arrow"},"mathspeak":{"default":"halfwidth up-arrow","sbrief":"halfwidth U arrow"}},"key":"FFEA"},{"category":"Sm","mappings":{"default":{"default":"halfwidth rightwards arrow","short":"halfwidth right arrow"},"mathspeak":{"default":"halfwidth right-arrow","sbrief":"halfwidth R arrow"}},"key":"FFEB"},{"category":"Sm","mappings":{"default":{"default":"halfwidth downwards arrow","short":"halfwidth down arrow"},"mathspeak":{"default":"halfwidth down-arrow","sbrief":"halfwidth D arrow"}},"key":"FFEC"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/math_characters.js b/extensions/a11y/mathmaps/en/symbols/math_characters.js
deleted file mode 100644
index 29e8a5f5b0..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/math_characters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"script small l","short":"script l"}},"key":"2113"},{"category":"Sm","mappings":{"default":{"default":"script capital p","alternative":"script p","short":"script cap p"},"mathspeak":{"default":"script upper P"}},"key":"2118"},{"category":"Ll","mappings":{"default":{"default":"double struck small pi","short":"double struck pi"}},"key":"213C"},{"category":"Ll","mappings":{"default":{"default":"double struck small gamma","short":"double struck gamma"}},"key":"213D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital gamma","short":"double struck cap gamma"},"mathspeak":{"default":"double struck upper Gamma"}},"key":"213E"},{"category":"Lu","mappings":{"default":{"default":"double struck capital pi","short":"double struck cap pi"},"mathspeak":{"default":"double struck upper Pi"}},"key":"213F"},{"category":"Sm","mappings":{"default":{"default":"double struck n ary summation"}},"key":"2140"},{"category":"Lu","mappings":{"default":{"default":"double struck italic capital d","short":"double struck italic cap d"},"mathspeak":{"default":"double struck italic upper D"}},"key":"2145"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small d","short":"double struck italic d"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small e","short":"double struck italic e"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small i","short":"double struck italic i"}},"key":"2148"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small j","short":"double struck italic j"}},"key":"2149"},{"category":"Ll","mappings":{"default":{"default":"italic small dotless i","short":"italic dotless i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"italic small dotless j","short":"italic dotless j"}},"key":"1D6A5"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/math_delimiters.js b/extensions/a11y/mathmaps/en/symbols/math_delimiters.js
deleted file mode 100644
index 37824eac6c..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/math_delimiters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ps","mappings":{"default":{"default":"left parenthesis","alternative":"opening parenthesis"},"mathspeak":{"default":"left-parenthesis","brief":"left-p'ren","sbrief":"L p'ren"}},"key":"0028"},{"category":"Pe","mappings":{"default":{"default":"right parenthesis","alternative":"closing parenthesis"},"mathspeak":{"default":"right-parenthesis","brief":"right-p'ren","sbrief":"R p'ren"}},"key":"0029"},{"category":"Ps","mappings":{"default":{"default":"left square bracket","alternative":"opening square bracket"},"mathspeak":{"default":"left-bracket","brief":"left-brack","sbrief":"L brack"}},"key":"005B"},{"category":"Pe","mappings":{"default":{"default":"right square bracket","alternative":"closing square bracket"},"mathspeak":{"default":"right-bracket","brief":"right-brack","sbrief":"R brack"}},"key":"005D"},{"category":"Ps","mappings":{"default":{"default":"left curly bracket","alternative":"opening curly bracket"},"mathspeak":{"default":"left-brace","sbrief":"L brace"}},"key":"007B"},{"category":"Pe","mappings":{"default":{"default":"right curly bracket","alternative":"closing curly bracket"},"mathspeak":{"default":"right-brace","sbrief":"R brace"}},"key":"007D"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with quill"},"mathspeak":{"default":"left-bracket with quill","brief":"left-brack with quill","sbrief":"L brack with quill"}},"key":"2045"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with quill"},"mathspeak":{"default":"right-bracket with quill","brief":"right-brack with quill","sbrief":"R brack with quill"}},"key":"2046"},{"category":"Sm","mappings":{"default":{"default":"left ceiling"}},"key":"2308"},{"category":"Sm","mappings":{"default":{"default":"right ceiling"}},"key":"2309"},{"category":"Sm","mappings":{"default":{"default":"left floor"}},"key":"230A"},{"category":"Sm","mappings":{"default":{"default":"right floor"}},"key":"230B"},{"category":"So","mappings":{"default":{"default":"bottom right crop"}},"key":"230C"},{"category":"So","mappings":{"default":{"default":"bottom left crop"}},"key":"230D"},{"category":"So","mappings":{"default":{"default":"top right crop"}},"key":"230E"},{"category":"So","mappings":{"default":{"default":"top left crop"}},"key":"230F"},{"category":"So","mappings":{"default":{"default":"top left corner"}},"key":"231C"},{"category":"So","mappings":{"default":{"default":"top right corner"}},"key":"231D"},{"category":"So","mappings":{"default":{"default":"bottom left corner"}},"key":"231E"},{"category":"So","mappings":{"default":{"default":"bottom right corner"}},"key":"231F"},{"category":"Sm","mappings":{"default":{"default":"top half integral"}},"key":"2320"},{"category":"Sm","mappings":{"default":{"default":"bottom half integral"}},"key":"2321"},{"category":"Ps","mappings":{"default":{"default":"left pointing angle bracket","alternative":"bra"},"mathspeak":{"default":"left pointing angle"}},"key":"2329"},{"category":"Pe","mappings":{"default":{"default":"right pointing angle bracket","alternative":"ket"},"mathspeak":{"default":"right pointing angle"}},"key":"232A"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis upper hook"},"mathspeak":{"default":"left-parenthesis upper hook","brief":"left-p'ren upper hook","sbrief":"L p'ren upper hook"}},"key":"239B"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis extension"},"mathspeak":{"default":"left-parenthesis extension","brief":"left-p'ren extension","sbrief":"L p'ren extension"}},"key":"239C"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis lower hook"},"mathspeak":{"default":"left-parenthesis lower hook","brief":"left-p'ren lower hook","sbrief":"L p'ren lower hook"}},"key":"239D"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis upper hook"},"mathspeak":{"default":"right-parenthesis upper hook","brief":"right-p'ren upper hook","sbrief":"R p'ren upper hook"}},"key":"239E"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis extension"},"mathspeak":{"default":"right-parenthesis extension","brief":"right-p'ren extension","sbrief":"R p'ren extension"}},"key":"239F"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis lower hook"},"mathspeak":{"default":"right-parenthesis lower hook","brief":"right-p'ren lower hook","sbrief":"R p'ren lower hook"}},"key":"23A0"},{"category":"Sm","mappings":{"default":{"default":"left square bracket upper corner"},"mathspeak":{"default":"left-bracket upper corner","brief":"left-brack upper corner","sbrief":"L brack upper corner"}},"key":"23A1"},{"category":"Sm","mappings":{"default":{"default":"left square bracket extension"},"mathspeak":{"default":"left-bracket extension","brief":"left-brack extension","sbrief":"L brack extension"}},"key":"23A2"},{"category":"Sm","mappings":{"default":{"default":"left square bracket lower corner"},"mathspeak":{"default":"left-bracket lower corner","brief":"left-brack lower corner","sbrief":"L brack lower corner"}},"key":"23A3"},{"category":"Sm","mappings":{"default":{"default":"right square bracket upper corner"},"mathspeak":{"default":"right-bracket upper corner","brief":"right-brack upper corner","sbrief":"R brack upper corner"}},"key":"23A4"},{"category":"Sm","mappings":{"default":{"default":"right square bracket extension"},"mathspeak":{"default":"right-bracket extension","brief":"right-brack extension","sbrief":"R brack extension"}},"key":"23A5"},{"category":"Sm","mappings":{"default":{"default":"right square bracket lower corner"},"mathspeak":{"default":"right-bracket lower corner","brief":"right-brack lower corner","sbrief":"R brack lower corner"}},"key":"23A6"},{"category":"Sm","mappings":{"default":{"default":"left curly bracket upper hook"},"mathspeak":{"default":"left-brace upper hook","sbrief":"L brace upper hook"}},"key":"23A7"},{"category":"Sm","mappings":{"default":{"default":"left curly bracket middle piece"},"mathspeak":{"default":"left-brace middle piece","sbrief":"L brace middle piece"}},"key":"23A8"},{"category":"Sm","mappings":{"default":{"default":"left curly bracket lower hook"},"mathspeak":{"default":"left-brace lower hook","sbrief":"L brace lower hook"}},"key":"23A9"},{"category":"Sm","mappings":{"default":{"default":"curly bracket extension"},"mathspeak":{"default":"brace extension"}},"key":"23AA"},{"category":"Sm","mappings":{"default":{"default":"right curly bracket upper hook"},"mathspeak":{"default":"right-brace upper hook","sbrief":"R brace upper hook"}},"key":"23AB"},{"category":"Sm","mappings":{"default":{"default":"right curly bracket middle piece"},"mathspeak":{"default":"right-brace middle piece","sbrief":"R brace middle piece"}},"key":"23AC"},{"category":"Sm","mappings":{"default":{"default":"right curly bracket lower hook"},"mathspeak":{"default":"right-brace lower hook","sbrief":"R brace lower hook"}},"key":"23AD"},{"category":"Sm","mappings":{"default":{"default":"integral extension"}},"key":"23AE"},{"category":"Sm","mappings":{"default":{"default":"horizontal line extension"}},"key":"23AF"},{"category":"Sm","mappings":{"default":{"default":"upper left or lower right curly bracket section"},"mathspeak":{"default":"upper left or lower right-brace section"}},"key":"23B0"},{"category":"Sm","mappings":{"default":{"default":"upper right or lower left curly bracket section"},"mathspeak":{"default":"upper right or lower left-brace section"}},"key":"23B1"},{"category":"Sm","mappings":{"default":{"default":"summation top"}},"key":"23B2"},{"category":"Sm","mappings":{"default":{"default":"summation bottom"}},"key":"23B3"},{"category":"So","mappings":{"default":{"default":"top square bracket"},"mathspeak":{"default":"top-bracket","brief":"top-brack","sbrief":"T brack"}},"key":"23B4"},{"category":"So","mappings":{"default":{"default":"bottom square bracket"},"mathspeak":{"default":"bottom-bracket","brief":"bottom-brack","sbrief":"B brack"}},"key":"23B5"},{"category":"So","mappings":{"default":{"default":"bottom square bracket over top square bracket"},"mathspeak":{"default":"bottom-bracket over top-bracket","brief":"bottom-brack over top-brack","sbrief":"B brack over T brack"}},"key":"23B6"},{"category":"So","mappings":{"default":{"default":"radical symbol bottom"}},"key":"23B7"},{"category":"So","mappings":{"default":{"default":"left vertical box line"}},"key":"23B8"},{"category":"So","mappings":{"default":{"default":"right vertical box line"}},"key":"23B9"},{"category":"Sm","mappings":{"default":{"default":"top parenthesis"},"mathspeak":{"default":"top-parenthesis","brief":"top-p'ren","sbrief":"t p'ren"}},"key":"23DC"},{"category":"Sm","mappings":{"default":{"default":"bottom parenthesis"},"mathspeak":{"default":"bottom-parenthesis","brief":"bottom-p'ren","sbrief":"b p'ren"}},"key":"23DD"},{"category":"Sm","mappings":{"default":{"default":"top curly bracket"},"mathspeak":{"default":"top-brace","sbrief":"T brace"}},"key":"23DE"},{"category":"Sm","mappings":{"default":{"default":"bottom curly bracket"},"mathspeak":{"default":"bottom-brace","sbrief":"B brace"}},"key":"23DF"},{"category":"Sm","mappings":{"default":{"default":"top tortoise shell bracket"}},"key":"23E0"},{"category":"Sm","mappings":{"default":{"default":"bottom tortoise shell bracket"}},"key":"23E1"},{"category":"Ps","mappings":{"default":{"default":"medium left parenthesis ornament"},"mathspeak":{"default":"medium left-parenthesis ornament","brief":"medium left-p'ren ornament","sbrief":"medium L p'ren ornament"}},"key":"2768"},{"category":"Pe","mappings":{"default":{"default":"medium right parenthesis ornament"},"mathspeak":{"default":"medium right-parenthesis ornament","brief":"medium right-p'ren ornament","sbrief":"medium R p'ren ornament"}},"key":"2769"},{"category":"Ps","mappings":{"default":{"default":"medium flattened left parenthesis ornament"},"mathspeak":{"default":"medium flattened left-parenthesis ornament","brief":"medium flattened left-p'ren ornament","sbrief":"medium flattened L p'ren ornament"}},"key":"276A"},{"category":"Pe","mappings":{"default":{"default":"medium flattened right parenthesis ornament"},"mathspeak":{"default":"medium flattened right-parenthesis ornament","brief":"medium flattened right-p'ren ornament","sbrief":"medium flattened R p'ren ornament"}},"key":"276B"},{"category":"Ps","mappings":{"default":{"default":"medium left pointing angle bracket ornament"},"mathspeak":{"default":"medium left pointing angle ornament"}},"key":"276C"},{"category":"Pe","mappings":{"default":{"default":"medium right pointing angle bracket ornament"},"mathspeak":{"default":"medium right pointing angle ornament"}},"key":"276D"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle quotation mark ornament"}},"key":"276E"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle quotation mark ornament"}},"key":"276F"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle bracket ornament"},"mathspeak":{"default":"heavy left pointing angle ornament"}},"key":"2770"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle bracket ornament"},"mathspeak":{"default":"heavy right pointing angle ornament"}},"key":"2771"},{"category":"Ps","mappings":{"default":{"default":"light left tortoise shell bracket ornament"}},"key":"2772"},{"category":"Pe","mappings":{"default":{"default":"light right tortoise shell bracket ornament"}},"key":"2773"},{"category":"Ps","mappings":{"default":{"default":"medium left curly bracket ornament"},"mathspeak":{"default":"medium left-brace ornament","sbrief":"medium L brace ornament"}},"key":"2774"},{"category":"Pe","mappings":{"default":{"default":"medium right curly bracket ornament"},"mathspeak":{"default":"medium right-brace ornament","sbrief":"medium R brace ornament"}},"key":"2775"},{"category":"Ps","mappings":{"default":{"default":"left s shaped bag delimiter"}},"key":"27C5"},{"category":"Pe","mappings":{"default":{"default":"right s shaped bag delimiter"}},"key":"27C6"},{"category":"Ps","mappings":{"default":{"default":"mathematical left white square bracket"},"mathspeak":{"default":"mathematical left white bracket"}},"key":"27E6"},{"category":"Pe","mappings":{"default":{"default":"mathematical right white square bracket"},"mathspeak":{"default":"mathematical right white bracket"}},"key":"27E7"},{"category":"Ps","mappings":{"default":{"default":"mathematical left angle bracket"},"mathspeak":{"default":"mathematical left-angle","sbrief":"mathematical l angle"}},"key":"27E8"},{"category":"Pe","mappings":{"default":{"default":"mathematical right angle bracket"},"mathspeak":{"default":"mathematical right-angle","sbrief":"mathematical r angle"}},"key":"27E9"},{"category":"Ps","mappings":{"default":{"default":"mathematical left double angle bracket"},"mathspeak":{"default":"mathematical left double angle"}},"key":"27EA"},{"category":"Pe","mappings":{"default":{"default":"mathematical right double angle bracket"},"mathspeak":{"default":"mathematical right double angle"}},"key":"27EB"},{"category":"Ps","mappings":{"default":{"default":"mathematical left white tortoise shell bracket"}},"key":"27EC"},{"category":"Pe","mappings":{"default":{"default":"mathematical right white tortoise shell bracket"}},"key":"27ED"},{"category":"Ps","mappings":{"default":{"default":"mathematical left flattened parenthesis"},"mathspeak":{"default":"mathematical flattened left-parenthesis","brief":"mathematical flattened left-p'ren","sbrief":"mathematical flattened L p'ren"}},"key":"27EE"},{"category":"Pe","mappings":{"default":{"default":"mathematical right flattened parenthesis"},"mathspeak":{"default":"mathematical flattened right-parenthesis","brief":"mathematical flattened right-p'ren","sbrief":"mathematical flattened R p'ren"}},"key":"27EF"},{"category":"Ps","mappings":{"default":{"default":"left white curly bracket"},"mathspeak":{"default":"left white brace"}},"key":"2983"},{"category":"Pe","mappings":{"default":{"default":"right white curly bracket"},"mathspeak":{"default":"right white brace"}},"key":"2984"},{"category":"Ps","mappings":{"default":{"default":"left white parenthesis"},"mathspeak":{"default":"white left-parenthesis","brief":"white left-p'ren","sbrief":"white L p'ren"}},"key":"2985"},{"category":"Pe","mappings":{"default":{"default":"right white parenthesis"},"mathspeak":{"default":"white right-parenthesis","brief":"white right-p'ren","sbrief":"white R p'ren"}},"key":"2986"},{"category":"Ps","mappings":{"default":{"default":"z notation left image bracket"}},"key":"2987"},{"category":"Pe","mappings":{"default":{"default":"z notation right image bracket"}},"key":"2988"},{"category":"Ps","mappings":{"default":{"default":"z notation left binding bracket"}},"key":"2989"},{"category":"Pe","mappings":{"default":{"default":"z notation right binding bracket"}},"key":"298A"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with underbar"},"mathspeak":{"default":"left-bracket with underbar","brief":"left-brack with underbar","sbrief":"L brack with underbar"}},"key":"298B"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with underbar"},"mathspeak":{"default":"right-bracket with underbar","brief":"right-brack with underbar","sbrief":"R brack with underbar"}},"key":"298C"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with tick in top corner"},"mathspeak":{"default":"left-bracket with tick in top corner","brief":"left-brack with tick in top corner","sbrief":"L brack with tick in top corner"}},"key":"298D"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with tick in bottom corner"},"mathspeak":{"default":"right-bracket with tick in bottom corner","brief":"right-brack with tick in bottom corner","sbrief":"R brack with tick in bottom corner"}},"key":"298E"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with tick in bottom corner"},"mathspeak":{"default":"left-bracket with tick in bottom corner","brief":"left-brack with tick in bottom corner","sbrief":"L brack with tick in bottom corner"}},"key":"298F"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with tick in top corner"},"mathspeak":{"default":"right-bracket with tick in top corner","brief":"right-brack with tick in top corner","sbrief":"R brack with tick in top corner"}},"key":"2990"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket with dot"},"mathspeak":{"default":"left-angle with dot","sbrief":"l angle with dot"}},"key":"2991"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket with dot"},"mathspeak":{"default":"right-angle with dot","sbrief":"r angle with dot"}},"key":"2992"},{"category":"Ps","mappings":{"default":{"default":"left arc less than bracket"}},"key":"2993"},{"category":"Pe","mappings":{"default":{"default":"right arc greater than bracket"}},"key":"2994"},{"category":"Ps","mappings":{"default":{"default":"double left arc greater than bracket"}},"key":"2995"},{"category":"Pe","mappings":{"default":{"default":"double right arc less than bracket"}},"key":"2996"},{"category":"Ps","mappings":{"default":{"default":"left black tortoise shell bracket"}},"key":"2997"},{"category":"Pe","mappings":{"default":{"default":"right black tortoise shell bracket"}},"key":"2998"},{"category":"Ps","mappings":{"default":{"default":"left wiggly fence"}},"key":"29D8"},{"category":"Pe","mappings":{"default":{"default":"right wiggly fence"}},"key":"29D9"},{"category":"Ps","mappings":{"default":{"default":"left double wiggly fence"}},"key":"29DA"},{"category":"Pe","mappings":{"default":{"default":"right double wiggly fence"}},"key":"29DB"},{"category":"Ps","mappings":{"default":{"default":"left pointing curved angle bracket"},"mathspeak":{"default":"left pointing curved angle"}},"key":"29FC"},{"category":"Pe","mappings":{"default":{"default":"right pointing curved angle bracket"},"mathspeak":{"default":"right pointing curved angle"}},"key":"29FD"},{"category":"Ps","mappings":{"default":{"default":"top left half bracket"},"mathspeak":{"default":"top half left-bracket","brief":"top half left-brack","sbrief":"top half L brack"}},"key":"2E22"},{"category":"Pe","mappings":{"default":{"default":"top right half bracket"},"mathspeak":{"default":"top half right-bracket","brief":"top half right-brack","sbrief":"top half R brack"}},"key":"2E23"},{"category":"Ps","mappings":{"default":{"default":"bottom left half bracket"},"mathspeak":{"default":"bottom half left-bracket","brief":"bottom half left-brack","sbrief":"bottom half L brack"}},"key":"2E24"},{"category":"Pe","mappings":{"default":{"default":"bottom right half bracket"},"mathspeak":{"default":"bottom half right-bracket","brief":"bottom half right-brack","sbrief":"bottom half R brack"}},"key":"2E25"},{"category":"Ps","mappings":{"default":{"default":"left sideways U bracket"}},"key":"2E26"},{"category":"Pe","mappings":{"default":{"default":"right sideways U bracket"}},"key":"2E27"},{"category":"Ps","mappings":{"default":{"default":"left double parenthesis"},"mathspeak":{"default":"double left-parenthesis","brief":"double left-p'ren","sbrief":"double L p'ren"}},"key":"2E28"},{"category":"Pe","mappings":{"default":{"default":"right double parenthesis"},"mathspeak":{"default":"double right-parenthesis","brief":"double right-p'ren","sbrief":"double R p'ren"}},"key":"2E29"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket","alternative":"opening angle bracket"},"mathspeak":{"default":"left-angle","sbrief":"l angle"}},"key":"3008"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket","alternative":"closing angle bracket"},"mathspeak":{"default":"right-angle","sbrief":"r angle"}},"key":"3009"},{"category":"Ps","mappings":{"default":{"default":"left double angle bracket","alternative":"opening double angle bracket"},"mathspeak":{"default":"left double angle"}},"key":"300A"},{"category":"Pe","mappings":{"default":{"default":"right double angle bracket","alternative":"closing double angle bracket"},"mathspeak":{"default":"right double angle"}},"key":"300B"},{"category":"Ps","mappings":{"default":{"default":"left corner bracket","alternative":"opening corner bracket"}},"key":"300C"},{"category":"Pe","mappings":{"default":{"default":"right corner bracket","alternative":"closing corner bracket"}},"key":"300D"},{"category":"Ps","mappings":{"default":{"default":"left white corner bracket","alternative":"opening white corner bracket"}},"key":"300E"},{"category":"Pe","mappings":{"default":{"default":"right white corner bracket","alternative":"closing white corner bracket"}},"key":"300F"},{"category":"Ps","mappings":{"default":{"default":"left black lenticular bracket","alternative":"opening black lenticular bracket"}},"key":"3010"},{"category":"Pe","mappings":{"default":{"default":"right black lenticular bracket","alternative":"closing black lenticular bracket"}},"key":"3011"},{"category":"Ps","mappings":{"default":{"default":"left tortoise shell bracket","alternative":"opening tortoise shell bracket"}},"key":"3014"},{"category":"Pe","mappings":{"default":{"default":"right tortoise shell bracket","alternative":"closing tortoise shell bracket"}},"key":"3015"},{"category":"Ps","mappings":{"default":{"default":"left white lenticular bracket","alternative":"opening white lenticular bracket"}},"key":"3016"},{"category":"Pe","mappings":{"default":{"default":"right white lenticular bracket","alternative":"closing white lenticular bracket"}},"key":"3017"},{"category":"Ps","mappings":{"default":{"default":"left white tortoise shell bracket","alternative":"opening white tortoise shell bracket"}},"key":"3018"},{"category":"Pe","mappings":{"default":{"default":"right white tortoise shell bracket","alternative":"closing white tortoise shell bracket"}},"key":"3019"},{"category":"Ps","mappings":{"default":{"default":"left white square bracket","alternative":"opening white square bracket"},"mathspeak":{"default":"left white bracket"}},"key":"301A"},{"category":"Pe","mappings":{"default":{"default":"right white square bracket","alternative":"closing white square bracket"},"mathspeak":{"default":"right white bracket"}},"key":"301B"},{"category":"Ps","mappings":{"default":{"default":"reversed double prime quotation mark"}},"key":"301D"},{"category":"Pe","mappings":{"default":{"default":"double prime quotation mark"}},"key":"301E"},{"category":"Pe","mappings":{"default":{"default":"low double prime quotation mark"}},"key":"301F"},{"category":"Ps","mappings":{"default":{"default":"ornate left parenthesis"},"mathspeak":{"default":"ornate left-parenthesis","brief":"ornate left-p'ren","sbrief":"ornate L p'ren"}},"key":"FD3E"},{"category":"Pe","mappings":{"default":{"default":"ornate right parenthesis"},"mathspeak":{"default":"ornate right-parenthesis","brief":"ornate right-p'ren","sbrief":"ornate R p'ren"}},"key":"FD3F"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white lenticular bracket"}},"key":"FE17"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white lenticular brakcet"}},"key":"FE18"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left parenthesis","alternative":"glyph for vertical opening parenthesis"},"mathspeak":{"default":"presentation form for vertical left-parenthesis","brief":"presentation form for vertical left-p'ren","sbrief":"presentation form for vertical L p'ren"}},"key":"FE35"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right parenthesis","alternative":"glyph for vertical closing parenthesis"},"mathspeak":{"default":"presentation form for vertical right-parenthesis","brief":"presentation form for vertical right-p'ren","sbrief":"presentation form for vertical R p'ren"}},"key":"FE36"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left curly bracket","alternative":"glyph for vertical opening curly bracket"},"mathspeak":{"default":"presentation form for vertical left-brace","sbrief":"presentation form for vertical L brace"}},"key":"FE37"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right curly bracket","alternative":"glyph for vertical closing curly bracket"},"mathspeak":{"default":"presentation form for vertical right-brace","sbrief":"presentation form for vertical r brace"}},"key":"FE38"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left tortoise shell bracket","alternative":"glyph for vertical opening tortoise shell bracket"}},"key":"FE39"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right tortoise shell bracket","alternative":"glyph for vertical closing tortoise shell bracket"}},"key":"FE3A"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left black lenticular bracket","alternative":"glyph for vertical opening black lenticular bracket"}},"key":"FE3B"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right black lenticular bracket","alternative":"glyph for vertical closing black lenticular bracket"}},"key":"FE3C"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left double angle bracket","alternative":"glyph for vertical opening double angle bracket"},"mathspeak":{"default":"presentation form for vertical left double angle"}},"key":"FE3D"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right double angle bracket","alternative":"glyph for vertical closing double angle bracket"},"mathspeak":{"default":"presentation form for vertical right double angle"}},"key":"FE3E"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left angle bracket","alternative":"glyph for vertical opening angle bracket"},"mathspeak":{"default":"presentation form for vertical left-angle","sbrief":"presentation form for vertical l angle"}},"key":"FE3F"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right angle bracket","alternative":"glyph for vertical closing angle bracket"},"mathspeak":{"default":"presentation form for vertical right-angle","sbrief":"presentation form for vertical r angle"}},"key":"FE40"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left corner bracket","alternative":"glyph for vertical opening corner bracket"}},"key":"FE41"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right corner bracket","alternative":"glyph for vertical closing corner bracket"}},"key":"FE42"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white corner bracket","alternative":"glyph for vertical opening white corner bracket"}},"key":"FE43"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white corner bracket","alternative":"glyph for vertical closing white corner bracket"}},"key":"FE44"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left square bracket"},"mathspeak":{"default":"presentation form for vertical left-bracket","brief":"presentation form for vertical left-brack","sbrief":"presentation form for vertical L brack"}},"key":"FE47"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right square bracket"},"mathspeak":{"default":"presentation form for vertical right-bracket","brief":"presentation form for vertical right-brack","sbrief":"presentation form for vertical r brack"}},"key":"FE48"},{"category":"Ps","mappings":{"default":{"default":"small left parenthesis","alternative":"small opening parenthesis"},"mathspeak":{"default":"small left-parenthesis","brief":"small left-p'ren","sbrief":"small L p'ren"}},"key":"FE59"},{"category":"Pe","mappings":{"default":{"default":"small right parenthesis","alternative":"small closing parenthesis"},"mathspeak":{"default":"small right-parenthesis","brief":"small right-p'ren","sbrief":"small R p'ren"}},"key":"FE5A"},{"category":"Ps","mappings":{"default":{"default":"small left curly bracket","alternative":"small opening curly bracket"},"mathspeak":{"default":"small left-brace","sbrief":"small L brace"}},"key":"FE5B"},{"category":"Pe","mappings":{"default":{"default":"small right curly bracket","alternative":"small closing curly bracket"},"mathspeak":{"default":"small right-brace","sbrief":"small r brace"}},"key":"FE5C"},{"category":"Ps","mappings":{"default":{"default":"small left tortoise shell bracket","alternative":"small opening tortoise shell bracket"}},"key":"FE5D"},{"category":"Pe","mappings":{"default":{"default":"small right tortoise shell bracket","alternative":"small closing tortoise shell bracket"}},"key":"FE5E"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left parenthesis","alternative":"fullwidth opening parenthesis"},"mathspeak":{"default":"fullwidth left-parenthesis","brief":"fullwidth left-p'ren","sbrief":"fullwidth L p'ren"}},"key":"FF08"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right parenthesis","alternative":"fullwidth closing parenthesis"},"mathspeak":{"default":"fullwidth right-parenthesis","brief":"fullwidth right-p'ren","sbrief":"fullwidth R p'ren"}},"key":"FF09"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left square bracket","alternative":"fullwidth opening square bracket"},"mathspeak":{"default":"fullwidth left-bracket","brief":"fullwidth left-brack","sbrief":"fullwidth L brack"}},"key":"FF3B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right square bracket","alternative":"fullwidth closing square bracket"},"mathspeak":{"default":"fullwidth right-bracket","brief":"fullwidth right-brack","sbrief":"fullwidth r brack"}},"key":"FF3D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left curly bracket","alternative":"fullwidth opening curly bracket"},"mathspeak":{"default":"fullwidth left-brace","sbrief":"fullwidth L brace"}},"key":"FF5B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right curly bracket","alternative":"fullwidth closing curly bracket"},"mathspeak":{"default":"fullwidth right-brace","sbrief":"fullwidth r brace"}},"key":"FF5D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth white left parenthesis"},"mathspeak":{"default":"fullwidth white left-parenthesis","brief":"fullwidth white left-p'ren","sbrief":"fullwidth white L p'ren"}},"key":"FF5F"},{"category":"Pe","mappings":{"default":{"default":"fullwidth white right parenthesis"},"mathspeak":{"default":"fullwidth white right-parenthesis","brief":"fullwidth white right-p'ren","sbrief":"fullwidth white R p'ren"}},"key":"FF60"},{"category":"Ps","mappings":{"default":{"default":"halfwidth left corner bracket","alternative":"halfwidth opening corner bracket"}},"key":"FF62"},{"category":"Pe","mappings":{"default":{"default":"halfwidth right corner bracket","alternative":"halfwidth closing corner bracket"}},"key":"FF63"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/math_digits.js b/extensions/a11y/mathmaps/en/symbols/math_digits.js
deleted file mode 100644
index 771d54b66e..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/math_digits.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Nd","mappings":{"default":{"default":"digit zero","short":"zero"},"mathspeak":{"default":"0"}},"key":"0030"},{"category":"Nd","mappings":{"default":{"default":"digit one","short":"one"},"mathspeak":{"default":"1"}},"key":"0031"},{"category":"Nd","mappings":{"default":{"default":"digit two","short":"two"},"mathspeak":{"default":"2"}},"key":"0032"},{"category":"Nd","mappings":{"default":{"default":"digit three","short":"three"},"mathspeak":{"default":"3"}},"key":"0033"},{"category":"Nd","mappings":{"default":{"default":"digit four","short":"four"},"mathspeak":{"default":"4"}},"key":"0034"},{"category":"Nd","mappings":{"default":{"default":"digit five","short":"five"},"mathspeak":{"default":"5"}},"key":"0035"},{"category":"Nd","mappings":{"default":{"default":"digit six","short":"six"},"mathspeak":{"default":"6"}},"key":"0036"},{"category":"Nd","mappings":{"default":{"default":"digit seven","short":"seven"},"mathspeak":{"default":"7"}},"key":"0037"},{"category":"Nd","mappings":{"default":{"default":"digit eight","short":"eight"},"mathspeak":{"default":"8"}},"key":"0038"},{"category":"Nd","mappings":{"default":{"default":"digit nine","short":"nine"},"mathspeak":{"default":"9"}},"key":"0039"},{"category":"No","mappings":{"default":{"default":"superscript digit two","alternative":"superscript two","short":"square"},"mathspeak":{"default":"9"}},"key":"00B2"},{"category":"No","mappings":{"default":{"default":"superscript digit three","alternative":"superscript three","short":"cube"}},"key":"00B3"},{"category":"No","mappings":{"default":{"default":"superscript digit one","alternative":"superscript one","short":"super one"}},"key":"00B9"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one quarter","alternative":"fraction one quarter","short":"one quarter"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one half","alternative":"fraction one half","short":"one half"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"vulgar fraction three quarters","alternative":"fraction three quarters","short":"three quarters"}},"key":"00BE"},{"category":"No","mappings":{"default":{"default":"superscript zero","short":"super zero"}},"key":"2070"},{"category":"No","mappings":{"default":{"default":"superscript digit four","alternative":"superscript four","short":"super four"}},"key":"2074"},{"category":"No","mappings":{"default":{"default":"superscript digit five","alternative":"superscript five","short":"super five"}},"key":"2075"},{"category":"No","mappings":{"default":{"default":"superscript digit six","alternative":"superscript six","short":"super six"}},"key":"2076"},{"category":"No","mappings":{"default":{"default":"superscript digit seven","alternative":"superscript seven","short":"super seven"}},"key":"2077"},{"category":"No","mappings":{"default":{"default":"superscript digit eight","alternative":"superscript eight","short":"super eight"}},"key":"2078"},{"category":"No","mappings":{"default":{"default":"superscript digit nine","alternative":"superscript nine","short":"super nine"}},"key":"2079"},{"category":"No","mappings":{"default":{"default":"subscript digit zero","alternative":"subscript zero","short":"sub zero"}},"key":"2080"},{"category":"No","mappings":{"default":{"default":"subscript digit one","alternative":"subscript one","short":"sub one"}},"key":"2081"},{"category":"No","mappings":{"default":{"default":"subscript digit two","alternative":"subscript two","short":"sub two"}},"key":"2082"},{"category":"No","mappings":{"default":{"default":"subscript digit three","alternative":"subscript three","short":"sub three"}},"key":"2083"},{"category":"No","mappings":{"default":{"default":"subscript digit four","alternative":"subscript four","short":"sub four"}},"key":"2084"},{"category":"No","mappings":{"default":{"default":"subscript digit five","alternative":"subscript five","short":"sub five"}},"key":"2085"},{"category":"No","mappings":{"default":{"default":"subscript digit six","alternative":"subscript six","short":"sub six"}},"key":"2086"},{"category":"No","mappings":{"default":{"default":"subscript digit seven","alternative":"subscript seven","short":"sub seven"}},"key":"2087"},{"category":"No","mappings":{"default":{"default":"subscript digit eight","alternative":"subscript eight","short":"sub eight"}},"key":"2088"},{"category":"No","mappings":{"default":{"default":"subscript digit nine","alternative":"subscript nine","short":"sub nine"}},"key":"2089"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one seventh","short":"one seventh"}},"key":"2150"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one ninth","short":"one ninth"}},"key":"2151"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one tenth","short":"one tenth"}},"key":"2152"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one third","alternative":"fraction one third","short":"one third"}},"key":"2153"},{"category":"No","mappings":{"default":{"default":"vulgar fraction two thirds","alternative":"fraction two thirds","short":"two thirds"}},"key":"2154"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one fifth","alternative":"fraction one fifth","short":"one fifth"}},"key":"2155"},{"category":"No","mappings":{"default":{"default":"vulgar fraction two fifths","alternative":"fraction two fifths","short":"two fifths"}},"key":"2156"},{"category":"No","mappings":{"default":{"default":"vulgar fraction three fifths","alternative":"fraction three fifths","short":"three fifths"}},"key":"2157"},{"category":"No","mappings":{"default":{"default":"vulgar fraction four fifths","alternative":"fraction four fifths","short":"four fifths"}},"key":"2158"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one sixth","alternative":"fraction one sixth","short":"one sixth"}},"key":"2159"},{"category":"No","mappings":{"default":{"default":"vulgar fraction five sixths","alternative":"fraction five sixths","short":"five sixths"}},"key":"215A"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one eighth","alternative":"fraction one eighth","short":"one eighth"}},"key":"215B"},{"category":"No","mappings":{"default":{"default":"vulgar fraction three eighths","alternative":"fraction three eighths","short":"three eighths"}},"key":"215C"},{"category":"No","mappings":{"default":{"default":"vulgar fraction five eighths","alternative":"fraction five eighths","short":"five eighths"}},"key":"215D"},{"category":"No","mappings":{"default":{"default":"vulgar fraction seven eighths","alternative":"fraction seven eighths","short":"seven eighths"}},"key":"215E"},{"category":"No","mappings":{"default":{"default":"fraction numerator one","short":"numerator one"}},"key":"215F"},{"category":"No","mappings":{"default":{"default":"vulgar fraction zero thirds","short":"zero thirds"}},"key":"2189"},{"category":"No","mappings":{"default":{"default":"circled digit one","short":"circled one"},"mathspeak":{"default":"circled 1"}},"key":"2460"},{"category":"No","mappings":{"default":{"default":"circled digit two","short":"circled two"},"mathspeak":{"default":"circled 2"}},"key":"2461"},{"category":"No","mappings":{"default":{"default":"circled digit three","short":"circled three"},"mathspeak":{"default":"circled 3"}},"key":"2462"},{"category":"No","mappings":{"default":{"default":"circled digit four","short":"circled four"},"mathspeak":{"default":"circled 4"}},"key":"2463"},{"category":"No","mappings":{"default":{"default":"circled digit five","short":"circled five"},"mathspeak":{"default":"circled 5"}},"key":"2464"},{"category":"No","mappings":{"default":{"default":"circled digit six","short":"circled six"},"mathspeak":{"default":"circled 6"}},"key":"2465"},{"category":"No","mappings":{"default":{"default":"circled digit seven","short":"circled seven"},"mathspeak":{"default":"circled 7"}},"key":"2466"},{"category":"No","mappings":{"default":{"default":"circled digit eight","short":"circled eight"},"mathspeak":{"default":"circled 8"}},"key":"2467"},{"category":"No","mappings":{"default":{"default":"circled digit nine","short":"circled nine"},"mathspeak":{"default":"circled 9"}},"key":"2468"},{"category":"No","mappings":{"default":{"default":"circled number ten","short":"circled ten"},"mathspeak":{"default":"circled 10"}},"key":"2469"},{"category":"No","mappings":{"default":{"default":"circled number eleven","short":"circled eleven"},"mathspeak":{"default":"circled 11"}},"key":"246A"},{"category":"No","mappings":{"default":{"default":"circled number twelve","short":"circled twelve"},"mathspeak":{"default":"circled 12"}},"key":"246B"},{"category":"No","mappings":{"default":{"default":"circled number thirteen","short":"circled thirteen"},"mathspeak":{"default":"circled 13"}},"key":"246C"},{"category":"No","mappings":{"default":{"default":"circled number fourteen","short":"circled fourteen"},"mathspeak":{"default":"circled 14"}},"key":"246D"},{"category":"No","mappings":{"default":{"default":"circled number fifteen","short":"circled fifteen"},"mathspeak":{"default":"circled 15"}},"key":"246E"},{"category":"No","mappings":{"default":{"default":"circled number sixteen","short":"circled sixteen"},"mathspeak":{"default":"circled 16"}},"key":"246F"},{"category":"No","mappings":{"default":{"default":"circled number seventeen","short":"circled seventeen"},"mathspeak":{"default":"circled 17"}},"key":"2470"},{"category":"No","mappings":{"default":{"default":"circled number eighteen","short":"circled eighteen"},"mathspeak":{"default":"circled 18"}},"key":"2471"},{"category":"No","mappings":{"default":{"default":"circled number nineteen","short":"circled nineteen"},"mathspeak":{"default":"circled 19"}},"key":"2472"},{"category":"No","mappings":{"default":{"default":"circled number twenty","short":"circled twenty"},"mathspeak":{"default":"circled 20"}},"key":"2473"},{"category":"No","mappings":{"default":{"default":"parenthesized digit one","short":"parenthesized one"},"mathspeak":{"default":"parenthesized 1"}},"key":"2474"},{"category":"No","mappings":{"default":{"default":"parenthesized digit two","short":"parenthesized two"},"mathspeak":{"default":"parenthesized 2"}},"key":"2475"},{"category":"No","mappings":{"default":{"default":"parenthesized digit three","short":"parenthesized three"},"mathspeak":{"default":"parenthesized 3"}},"key":"2476"},{"category":"No","mappings":{"default":{"default":"parenthesized digit four","short":"parenthesized four"},"mathspeak":{"default":"parenthesized 4"}},"key":"2477"},{"category":"No","mappings":{"default":{"default":"parenthesized digit five","short":"parenthesized five"},"mathspeak":{"default":"parenthesized 5"}},"key":"2478"},{"category":"No","mappings":{"default":{"default":"parenthesized digit six","short":"parenthesized six"},"mathspeak":{"default":"parenthesized 6"}},"key":"2479"},{"category":"No","mappings":{"default":{"default":"parenthesized digit seven","short":"parenthesized seven"},"mathspeak":{"default":"parenthesized 7"}},"key":"247A"},{"category":"No","mappings":{"default":{"default":"parenthesized digit eight","short":"parenthesized eight"},"mathspeak":{"default":"parenthesized 8"}},"key":"247B"},{"category":"No","mappings":{"default":{"default":"parenthesized digit nine","short":"parenthesized nine"},"mathspeak":{"default":"parenthesized 9"}},"key":"247C"},{"category":"No","mappings":{"default":{"default":"parenthesized number ten","short":"parenthesized ten"},"mathspeak":{"default":"parenthesized 10"}},"key":"247D"},{"category":"No","mappings":{"default":{"default":"parenthesized number eleven","short":"parenthesized eleven"},"mathspeak":{"default":"parenthesized 11"}},"key":"247E"},{"category":"No","mappings":{"default":{"default":"parenthesized number twelve","short":"parenthesized twelve"},"mathspeak":{"default":"parenthesized 12"}},"key":"247F"},{"category":"No","mappings":{"default":{"default":"parenthesized number thirteen","short":"parenthesized thirteen"},"mathspeak":{"default":"parenthesized 13"}},"key":"2480"},{"category":"No","mappings":{"default":{"default":"parenthesized number fourteen","short":"parenthesized fourteen"},"mathspeak":{"default":"parenthesized 14"}},"key":"2481"},{"category":"No","mappings":{"default":{"default":"parenthesized number fifteen","short":"parenthesized fifteen"},"mathspeak":{"default":"parenthesized 15"}},"key":"2482"},{"category":"No","mappings":{"default":{"default":"parenthesized number sixteen","short":"parenthesized sixteen"},"mathspeak":{"default":"parenthesized 16"}},"key":"2483"},{"category":"No","mappings":{"default":{"default":"parenthesized number seventeen","short":"parenthesized seventeen"},"mathspeak":{"default":"parenthesized 17"}},"key":"2484"},{"category":"No","mappings":{"default":{"default":"parenthesized number eighteen","short":"parenthesized eighteen"},"mathspeak":{"default":"parenthesized 18"}},"key":"2485"},{"category":"No","mappings":{"default":{"default":"parenthesized number nineteen","short":"parenthesized nineteen"},"mathspeak":{"default":"parenthesized 19"}},"key":"2486"},{"category":"No","mappings":{"default":{"default":"parenthesized number twenty","short":"parenthesized twenty"},"mathspeak":{"default":"parenthesized 20"}},"key":"2487"},{"category":"No","mappings":{"default":{"default":"digit one full stop","alternative":"digit one period","short":"one period"},"mathspeak":{"default":"1 period"}},"key":"2488"},{"category":"No","mappings":{"default":{"default":"digit two full stop","alternative":"digit two period","short":"two period"},"mathspeak":{"default":"2 period"}},"key":"2489"},{"category":"No","mappings":{"default":{"default":"digit three full stop","alternative":"digit three period","short":"three period"},"mathspeak":{"default":"3 period"}},"key":"248A"},{"category":"No","mappings":{"default":{"default":"digit four full stop","alternative":"digit four period","short":"four period"},"mathspeak":{"default":"4 period"}},"key":"248B"},{"category":"No","mappings":{"default":{"default":"digit five full stop","alternative":"digit five period","short":"five period"},"mathspeak":{"default":"5 period"}},"key":"248C"},{"category":"No","mappings":{"default":{"default":"digit six full stop","alternative":"digit six period","short":"six period"},"mathspeak":{"default":"6 period"}},"key":"248D"},{"category":"No","mappings":{"default":{"default":"digit seven full stop","alternative":"digit seven period","short":"seven period"},"mathspeak":{"default":"7 period"}},"key":"248E"},{"category":"No","mappings":{"default":{"default":"digit eight full stop","alternative":"digit eight period","short":"eight period"},"mathspeak":{"default":"8 period"}},"key":"248F"},{"category":"No","mappings":{"default":{"default":"digit nine full stop","alternative":"digit nine period","short":"nine period"},"mathspeak":{"default":"9 period"}},"key":"2490"},{"category":"No","mappings":{"default":{"default":"number ten full stop","alternative":"number ten period","short":"ten period"},"mathspeak":{"default":"10 period"}},"key":"2491"},{"category":"No","mappings":{"default":{"default":"number eleven full stop","alternative":"number eleven period","short":"eleven period"},"mathspeak":{"default":"11 period"}},"key":"2492"},{"category":"No","mappings":{"default":{"default":"number twelve full stop","alternative":"number twelve period","short":"twelve period"},"mathspeak":{"default":"12 period"}},"key":"2493"},{"category":"No","mappings":{"default":{"default":"number thirteen full stop","alternative":"number thirteen period","short":"thirteen period"},"mathspeak":{"default":"13 period"}},"key":"2494"},{"category":"No","mappings":{"default":{"default":"number fourteen full stop","alternative":"number fourteen period","short":"fourteen period"},"mathspeak":{"default":"14 period"}},"key":"2495"},{"category":"No","mappings":{"default":{"default":"number fifteen full stop","alternative":"number fifteen period","short":"fifteen period"},"mathspeak":{"default":"15 period"}},"key":"2496"},{"category":"No","mappings":{"default":{"default":"number sixteen full stop","alternative":"number sixteen period","short":"sixteen period"},"mathspeak":{"default":"16 period"}},"key":"2497"},{"category":"No","mappings":{"default":{"default":"number seventeen full stop","alternative":"number seventeen period","short":"seventeen period"},"mathspeak":{"default":"17 period"}},"key":"2498"},{"category":"No","mappings":{"default":{"default":"number eighteen full stop","alternative":"number eighteen period","short":"eighteen period"},"mathspeak":{"default":"18 period"}},"key":"2499"},{"category":"No","mappings":{"default":{"default":"number nineteen full stop","alternative":"number nineteen period","short":"nineteen period"},"mathspeak":{"default":"19 period"}},"key":"249A"},{"category":"No","mappings":{"default":{"default":"number twenty full stop","alternative":"number twenty period","short":"twenty period"},"mathspeak":{"default":"20 period"}},"key":"249B"},{"category":"No","mappings":{"default":{"default":"circled digit zero","short":"circled zero"},"mathspeak":{"default":"circled 0"}},"key":"24EA"},{"category":"No","mappings":{"default":{"default":"negative circled number eleven","short":"negative circled eleven"},"mathspeak":{"default":"negative circled 11"}},"key":"24EB"},{"category":"No","mappings":{"default":{"default":"negative circled number twelve","short":"negative circled twelve"},"mathspeak":{"default":"negative circled 12"}},"key":"24EC"},{"category":"No","mappings":{"default":{"default":"negative circled number thirteen","short":"negative circled thirteen"},"mathspeak":{"default":"negative circled 13"}},"key":"24ED"},{"category":"No","mappings":{"default":{"default":"negative circled number fourteen","short":"negative circled fourteen"},"mathspeak":{"default":"negative circled 14"}},"key":"24EE"},{"category":"No","mappings":{"default":{"default":"negative circled number fifteen","short":"negative circled fifteen"},"mathspeak":{"default":"negative circled 15"}},"key":"24EF"},{"category":"No","mappings":{"default":{"default":"negative circled number sixteen","short":"negative circled sixteen"},"mathspeak":{"default":"negative circled 16"}},"key":"24F0"},{"category":"No","mappings":{"default":{"default":"negative circled number seventeen","short":"negative circled seventeen"},"mathspeak":{"default":"negative circled 17"}},"key":"24F1"},{"category":"No","mappings":{"default":{"default":"negative circled number eighteen","short":"negative circled eighteen"},"mathspeak":{"default":"negative circled 18"}},"key":"24F2"},{"category":"No","mappings":{"default":{"default":"negative circled number nineteen","short":"negative circled nineteen"},"mathspeak":{"default":"negative circled 19"}},"key":"24F3"},{"category":"No","mappings":{"default":{"default":"negative circled number twenty","short":"negative circled twenty"},"mathspeak":{"default":"negative circled 20"}},"key":"24F4"},{"category":"No","mappings":{"default":{"default":"double circled digit one","short":"double circled one"},"mathspeak":{"default":"double circled 1"}},"key":"24F5"},{"category":"No","mappings":{"default":{"default":"double circled digit two","short":"double circled two"},"mathspeak":{"default":"double circled 2"}},"key":"24F6"},{"category":"No","mappings":{"default":{"default":"double circled digit three","short":"double circled three"},"mathspeak":{"default":"double circled 3"}},"key":"24F7"},{"category":"No","mappings":{"default":{"default":"double circled digit four","short":"double circled four"},"mathspeak":{"default":"double circled 4"}},"key":"24F8"},{"category":"No","mappings":{"default":{"default":"double circled digit five","short":"double circled five"},"mathspeak":{"default":"double circled 5"}},"key":"24F9"},{"category":"No","mappings":{"default":{"default":"double circled digit six","short":"double circled six"},"mathspeak":{"default":"double circled 6"}},"key":"24FA"},{"category":"No","mappings":{"default":{"default":"double circled digit seven","short":"double circled seven"},"mathspeak":{"default":"double circled 7"}},"key":"24FB"},{"category":"No","mappings":{"default":{"default":"double circled digit eight","short":"double circled eight"},"mathspeak":{"default":"double circled 8"}},"key":"24FC"},{"category":"No","mappings":{"default":{"default":"double circled digit nine","short":"double circled nine"},"mathspeak":{"default":"double circled 9"}},"key":"24FD"},{"category":"No","mappings":{"default":{"default":"double circled number ten","short":"double circled ten"},"mathspeak":{"default":"double circled 10"}},"key":"24FE"},{"category":"No","mappings":{"default":{"default":"negative circled digit zero","short":"negative circled zero"},"mathspeak":{"default":"negative circled 0"}},"key":"24FF"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit one","alternative":"inverse circled digit one","short":"inverse circled one"},"mathspeak":{"default":"inverse circled 1"}},"key":"2776"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit two","alternative":"inverse circled digit two","short":"inverse circled two"},"mathspeak":{"default":"inverse circled 2"}},"key":"2777"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit three","alternative":"inverse circled digit three","short":"inverse circled three"},"mathspeak":{"default":"inverse circled 3"}},"key":"2778"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit four","alternative":"inverse circled digit four","short":"inverse circled four"},"mathspeak":{"default":"inverse circled 4"}},"key":"2779"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit five","alternative":"inverse circled digit five","short":"inverse circled five"},"mathspeak":{"default":"inverse circled 5"}},"key":"277A"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit six","alternative":"inverse circled digit six","short":"inverse circled six"},"mathspeak":{"default":"inverse circled 6"}},"key":"277B"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit seven","alternative":"inverse circled digit seven","short":"inverse circled seven"},"mathspeak":{"default":"inverse circled 7"}},"key":"277C"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit eight","alternative":"inverse circled digit eight","short":"inverse circled eight"},"mathspeak":{"default":"inverse circled 8"}},"key":"277D"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit nine","alternative":"inverse circled digit nine","short":"inverse circled nine"},"mathspeak":{"default":"inverse circled 9"}},"key":"277E"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled number ten","alternative":"inverse circled number ten","short":"inverse circled ten"},"mathspeak":{"default":"inverse circled 10"}},"key":"277F"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit one","alternative":"circled sans serif digit one","short":"circled one"}},"key":"2780"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit two","alternative":"circled sans serif digit two","short":"circled two"}},"key":"2781"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit three","alternative":"circled sans serif digit three","short":"circled three"}},"key":"2782"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit four","alternative":"circled sans serif digit four","short":"circled four"}},"key":"2783"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit five","alternative":"circled sans serif digit five","short":"circled five"}},"key":"2784"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit six","alternative":"circled sans serif digit six","short":"circled six"}},"key":"2785"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit seven","alternative":"circled sans serif digit seven","short":"circled seven"}},"key":"2786"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit eight","alternative":"circled sans serif digit eight","short":"circled eight"}},"key":"2787"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit nine","alternative":"circled sans serif digit nine","short":"circled nine"}},"key":"2788"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif number ten","alternative":"circled sans serif number ten","short":"circled ten"}},"key":"2789"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit one","alternative":"inverse circled sans serif digit one","short":"inverse circled one"},"mathspeak":{"default":"inverse circled 1"}},"key":"278A"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit two","alternative":"inverse circled sans serif digit two","short":"inverse circled two"},"mathspeak":{"default":"inverse circled 2"}},"key":"278B"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit three","alternative":"inverse circled sans serif digit three","short":"inverse circled three"},"mathspeak":{"default":"inverse circled 3"}},"key":"278C"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit four","alternative":"inverse circled sans serif digit four","short":"inverse circled four"},"mathspeak":{"default":"inverse circled 4"}},"key":"278D"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit five","alternative":"inverse circled sans serif digit five","short":"inverse circled five"},"mathspeak":{"default":"inverse circled 5"}},"key":"278E"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit six","alternative":"inverse circled sans serif digit six","short":"inverse circled six"},"mathspeak":{"default":"inverse circled 6"}},"key":"278F"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit seven","alternative":"inverse circled sans serif digit seven","short":"inverse circled seven"},"mathspeak":{"default":"inverse circled 7"}},"key":"2790"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit eight","alternative":"inverse circled sans serif digit eight","short":"inverse circled eight"},"mathspeak":{"default":"inverse circled 8"}},"key":"2791"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit nine","alternative":"inverse circled sans serif digit nine","short":"inverse circled nine"},"mathspeak":{"default":"inverse circled 9"}},"key":"2792"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif number ten","alternative":"inverse circled sans serif number ten","short":"inverse circled ten"},"mathspeak":{"default":"inverse circled 10"}},"key":"2793"},{"category":"No","mappings":{"default":{"default":"circled number ten on black square","short":"circled ten on black square"}},"key":"3248"},{"category":"No","mappings":{"default":{"default":"circled number twenty on black square","short":"circled twenty on black square"}},"key":"3249"},{"category":"No","mappings":{"default":{"default":"circled number thirty on black square","short":"circled thirty on black square"}},"key":"324A"},{"category":"No","mappings":{"default":{"default":"circled number forty on black square","short":"circled forty on black square"}},"key":"324B"},{"category":"No","mappings":{"default":{"default":"circled number fifty on black square","short":"circled fifty on black square"}},"key":"324C"},{"category":"No","mappings":{"default":{"default":"circled number sixty on black square","short":"circled sixty on black square"}},"key":"324D"},{"category":"No","mappings":{"default":{"default":"circled number seventy on black square","short":"circled seventy on black square"}},"key":"324E"},{"category":"No","mappings":{"default":{"default":"circled number eighty on black square","short":"circled eighty on black square"}},"key":"324F"},{"category":"No","mappings":{"default":{"default":"circled number twenty one","short":"circled twenty one"}},"key":"3251"},{"category":"No","mappings":{"default":{"default":"circled number twenty two","short":"circled twenty two"}},"key":"3252"},{"category":"No","mappings":{"default":{"default":"circled number twenty three","short":"circled twenty three"}},"key":"3253"},{"category":"No","mappings":{"default":{"default":"circled number twenty four","short":"circled twenty four"}},"key":"3254"},{"category":"No","mappings":{"default":{"default":"circled number twenty five","short":"circled twenty five"}},"key":"3255"},{"category":"No","mappings":{"default":{"default":"circled number twenty six","short":"circled twenty six"}},"key":"3256"},{"category":"No","mappings":{"default":{"default":"circled number twenty seven","short":"circled twenty seven"}},"key":"3257"},{"category":"No","mappings":{"default":{"default":"circled number twenty eight","short":"circled twenty eight"}},"key":"3258"},{"category":"No","mappings":{"default":{"default":"circled number twenty nine","short":"circled twenty nine"}},"key":"3259"},{"category":"No","mappings":{"default":{"default":"circled number thirty","short":"circled thirty"}},"key":"325A"},{"category":"No","mappings":{"default":{"default":"circled number thirty one","short":"circled thirty one"}},"key":"325B"},{"category":"No","mappings":{"default":{"default":"circled number thirty two","short":"circled thirty two"}},"key":"325C"},{"category":"No","mappings":{"default":{"default":"circled number thirty three","short":"circled thirty three"}},"key":"325D"},{"category":"No","mappings":{"default":{"default":"circled number thirty four","short":"circled thirty four"}},"key":"325E"},{"category":"No","mappings":{"default":{"default":"circled number thirty five","short":"circled thirty five"}},"key":"325F"},{"category":"No","mappings":{"default":{"default":"circled number thirty six","short":"circled thirty six"}},"key":"32B1"},{"category":"No","mappings":{"default":{"default":"circled number thirty seven","short":"circled thirty seven"}},"key":"32B2"},{"category":"No","mappings":{"default":{"default":"circled number thirty eight","short":"circled thirty eight"}},"key":"32B3"},{"category":"No","mappings":{"default":{"default":"circled number thirty nine","short":"circled thirty nine"}},"key":"32B4"},{"category":"No","mappings":{"default":{"default":"circled number forty","short":"circled forty"}},"key":"32B5"},{"category":"No","mappings":{"default":{"default":"circled number forty one","short":"circled forty one"}},"key":"32B6"},{"category":"No","mappings":{"default":{"default":"circled number forty two","short":"circled forty two"}},"key":"32B7"},{"category":"No","mappings":{"default":{"default":"circled number forty three","short":"circled forty three"}},"key":"32B8"},{"category":"No","mappings":{"default":{"default":"circled number forty four","short":"circled forty four"}},"key":"32B9"},{"category":"No","mappings":{"default":{"default":"circled number forty five","short":"circled forty five"}},"key":"32BA"},{"category":"No","mappings":{"default":{"default":"circled number forty six","short":"circled forty six"}},"key":"32BB"},{"category":"No","mappings":{"default":{"default":"circled number forty seven","short":"circled forty seven"}},"key":"32BC"},{"category":"No","mappings":{"default":{"default":"circled number forty eight","short":"circled forty eight"}},"key":"32BD"},{"category":"No","mappings":{"default":{"default":"circled number forty nine","short":"circled forty nine"}},"key":"32BE"},{"category":"No","mappings":{"default":{"default":"circled number fifty","short":"circled fifty"}},"key":"32BF"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit zero","short":"zero"},"mathspeak":{"default":"0"}},"key":"FF10"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit one","short":"one"},"mathspeak":{"default":"1"}},"key":"FF11"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit two","short":"two"},"mathspeak":{"default":"2"}},"key":"FF12"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit three","short":"three"},"mathspeak":{"default":"3"}},"key":"FF13"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit four","short":"four"},"mathspeak":{"default":"4"}},"key":"FF14"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit five","short":"five"},"mathspeak":{"default":"5"}},"key":"FF15"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit six","short":"six"},"mathspeak":{"default":"6"}},"key":"FF16"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit seven","short":"seven"},"mathspeak":{"default":"7"}},"key":"FF17"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit eight","short":"eight"},"mathspeak":{"default":"8"}},"key":"FF18"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit nine","short":"nine"},"mathspeak":{"default":"9"}},"key":"FF19"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit zero","alternative":"bold digit zero","short":"bold zero"},"mathspeak":{"default":"bold 0"}},"key":"1D7CE"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit one","alternative":"bold digit one","short":"bold one"},"mathspeak":{"default":"bold 1"}},"key":"1D7CF"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit two","alternative":"bold digit two","short":"bold two"},"mathspeak":{"default":"bold 2"}},"key":"1D7D0"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit three","alternative":"bold digit three","short":"bold three"},"mathspeak":{"default":"bold 3"}},"key":"1D7D1"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit four","alternative":"bold digit four","short":"bold four"},"mathspeak":{"default":"bold 4"}},"key":"1D7D2"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit five","alternative":"bold digit five","short":"bold five"},"mathspeak":{"default":"bold 5"}},"key":"1D7D3"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit six","alternative":"bold digit six","short":"bold six"},"mathspeak":{"default":"bold 6"}},"key":"1D7D4"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit seven","alternative":"bold digit seven","short":"bold seven"},"mathspeak":{"default":"bold 7"}},"key":"1D7D5"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit eight","alternative":"bold digit eight","short":"bold eight"},"mathspeak":{"default":"bold 8"}},"key":"1D7D6"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit nine","alternative":"bold digit nine","short":"bold nine"},"mathspeak":{"default":"bold 9"}},"key":"1D7D7"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit zero","alternative":"double struck zero","short":"blackboard zero"},"mathspeak":{"default":"blackboard 0"}},"key":"1D7D8"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit one","alternative":"double struck one","short":"blackboard one"},"mathspeak":{"default":"blackboard 1"}},"key":"1D7D9"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit two","alternative":"double struck two","short":"blackboard two"},"mathspeak":{"default":"blackboard 2"}},"key":"1D7DA"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit three","alternative":"double struck three","short":"blackboard three"},"mathspeak":{"default":"blackboard 3"}},"key":"1D7DB"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit four","alternative":"double struck four","short":"blackboard four"},"mathspeak":{"default":"blackboard 4"}},"key":"1D7DC"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit five","alternative":"double struck five","short":"blackboard five"},"mathspeak":{"default":"blackboard 5"}},"key":"1D7DD"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit six","alternative":"double struck six","short":"blackboard six"},"mathspeak":{"default":"blackboard 6"}},"key":"1D7DE"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit seven","alternative":"double struck seven","short":"blackboard seven"},"mathspeak":{"default":"blackboard 7"}},"key":"1D7DF"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit eight","alternative":"double struck eight","short":"blackboard eight"},"mathspeak":{"default":"blackboard 8"}},"key":"1D7E0"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit nine","alternative":"double struck nine","short":"blackboard nine"},"mathspeak":{"default":"blackboard 9"}},"key":"1D7E1"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit zero","alternative":"sans serif digit zero","short":"sans serif zero"},"mathspeak":{"default":"sans serif 0"}},"key":"1D7E2"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit one","alternative":"sans serif digit one","short":"sans serif one"},"mathspeak":{"default":"sans serif 1"}},"key":"1D7E3"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit two","alternative":"sans serif digit two","short":"sans serif two"},"mathspeak":{"default":"sans serif 2"}},"key":"1D7E4"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit three","alternative":"sans serif digit three","short":"sans serif three"},"mathspeak":{"default":"sans serif 3"}},"key":"1D7E5"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit four","alternative":"sans serif digit four","short":"sans serif four"},"mathspeak":{"default":"sans serif 4"}},"key":"1D7E6"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit five","alternative":"sans serif digit five","short":"sans serif five"},"mathspeak":{"default":"sans serif 5"}},"key":"1D7E7"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit six","alternative":"sans serif digit six","short":"sans serif six"},"mathspeak":{"default":"sans serif 6"}},"key":"1D7E8"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit seven","alternative":"sans serif digit seven","short":"sans serif seven"},"mathspeak":{"default":"sans serif 7"}},"key":"1D7E9"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit eight","alternative":"sans serif digit eight","short":"sans serif eight"},"mathspeak":{"default":"sans serif 8"}},"key":"1D7EA"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit nine","alternative":"sans serif digit nine","short":"sans serif nine"},"mathspeak":{"default":"sans serif 9"}},"key":"1D7EB"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit zero","alternative":"sans serif bold digit zero","short":"sans serif bold zero"},"mathspeak":{"default":"sans serif bold 0"}},"key":"1D7EC"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit one","alternative":"sans serif bold digit one","short":"sans serif bold one"},"mathspeak":{"default":"sans serif bold 1"}},"key":"1D7ED"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit two","alternative":"sans serif bold digit two","short":"sans serif bold two"},"mathspeak":{"default":"sans serif bold 2"}},"key":"1D7EE"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit three","alternative":"sans serif bold digit three","short":"sans serif bold three"},"mathspeak":{"default":"sans serif bold 3"}},"key":"1D7EF"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit four","alternative":"sans serif bold digit four","short":"sans serif bold four"},"mathspeak":{"default":"sans serif bold 4"}},"key":"1D7F0"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit five","alternative":"sans serif bold digit five","short":"sans serif bold five"},"mathspeak":{"default":"sans serif bold 5"}},"key":"1D7F1"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit six","alternative":"sans serif bold digit six","short":"sans serif bold six"},"mathspeak":{"default":"sans serif bold 6"}},"key":"1D7F2"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit seven","alternative":"sans serif bold digit seven","short":"sans serif bold seven"},"mathspeak":{"default":"sans serif bold 7"}},"key":"1D7F3"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit eight","alternative":"sans serif bold digit eight","short":"sans serif bold eight"},"mathspeak":{"default":"sans serif bold 8"}},"key":"1D7F4"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit nine","alternative":"sans serif bold digit nine","short":"sans serif bold nine"},"mathspeak":{"default":"sans serif bold 9"}},"key":"1D7F5"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit zero","alternative":"monospace zero","short":"thin zero"},"mathspeak":{"default":"monospace 0"}},"key":"1D7F6"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit one","alternative":"monospace one","short":"thin one"},"mathspeak":{"default":"monospace 1"}},"key":"1D7F7"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit two","alternative":"monospace two","short":"thin two"},"mathspeak":{"default":"monospace 2"}},"key":"1D7F8"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit three","alternative":"monospace three","short":"thin three"},"mathspeak":{"default":"monospace 3"}},"key":"1D7F9"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit four","alternative":"monospace four","short":"thin four"},"mathspeak":{"default":"monospace 4"}},"key":"1D7FA"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit five","alternative":"monospace five","short":"thin five"},"mathspeak":{"default":"monospace 5"}},"key":"1D7FB"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit six","alternative":"monospace six","short":"thin six"},"mathspeak":{"default":"monospace 6"}},"key":"1D7FC"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit seven","alternative":"monospace seven","short":"thin seven"},"mathspeak":{"default":"monospace 7"}},"key":"1D7FD"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit eight","alternative":"monospace eight","short":"thin eight"},"mathspeak":{"default":"monospace 8"}},"key":"1D7FE"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit nine","alternative":"monospace nine","short":"thin nine"},"mathspeak":{"default":"monospace 9"}},"key":"1D7FF"},{"category":"No","mappings":{"default":{"default":"digit zero full stop","short":"zero period"},"mathspeak":{"default":"0 period"}},"key":"1F100"},{"category":"No","mappings":{"default":{"default":"digit zero comma","short":"zero comma"},"mathspeak":{"default":"0 comma"}},"key":"1F101"},{"category":"No","mappings":{"default":{"default":"digit one comma","short":"one comma"},"mathspeak":{"default":"1 comma"}},"key":"1F102"},{"category":"No","mappings":{"default":{"default":"digit two comma","short":"two comma"},"mathspeak":{"default":"2 comma"}},"key":"1F103"},{"category":"No","mappings":{"default":{"default":"digit three comma","short":"three comma"},"mathspeak":{"default":"3 comma"}},"key":"1F104"},{"category":"No","mappings":{"default":{"default":"digit four comma","short":"four comma"},"mathspeak":{"default":"4 comma"}},"key":"1F105"},{"category":"No","mappings":{"default":{"default":"digit five comma","short":"five comma"},"mathspeak":{"default":"5 comma"}},"key":"1F106"},{"category":"No","mappings":{"default":{"default":"digit six comma","short":"six comma"},"mathspeak":{"default":"6 comma"}},"key":"1F107"},{"category":"No","mappings":{"default":{"default":"digit seven comma","short":"seven comma"},"mathspeak":{"default":"7 comma"}},"key":"1F108"},{"category":"No","mappings":{"default":{"default":"digit eight comma","short":"eight comma"},"mathspeak":{"default":"8 comma"}},"key":"1F109"},{"category":"No","mappings":{"default":{"default":"digit nine comma","short":"nine comma"},"mathspeak":{"default":"9 comma"}},"key":"1F10A"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/math_geometry.js b/extensions/a11y/mathmaps/en/symbols/math_geometry.js
deleted file mode 100644
index 80f77bf6c0..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/math_geometry.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"box drawings light horizontal","alternative":"forms light horizontal"}},"key":"2500"},{"category":"So","mappings":{"default":{"default":"box drawings heavy horizontal","alternative":"forms heavy horizontal"}},"key":"2501"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical","alternative":"forms light vertical"}},"key":"2502"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical","alternative":"forms heavy vertical"}},"key":"2503"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash horizontal","alternative":"forms light triple dash horizontal"}},"key":"2504"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash horizontal","alternative":"forms heavy triple dash horizontal"}},"key":"2505"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash vertical","alternative":"forms light triple dash vertical"}},"key":"2506"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash vertical","alternative":"forms heavy triple dash vertical"}},"key":"2507"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash horizontal","alternative":"forms light quadruple dash horizontal"}},"key":"2508"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash horizontal","alternative":"forms heavy quadruple dash horizontal"}},"key":"2509"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash vertical","alternative":"forms light quadruple dash vertical"}},"key":"250A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash vertical","alternative":"forms heavy quadruple dash vertical"}},"key":"250B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and right","alternative":"forms light down and right"}},"key":"250C"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right heavy","alternative":"forms down light and right heavy"}},"key":"250D"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right light","alternative":"forms down heavy and right light"}},"key":"250E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and right","alternative":"forms heavy down and right"}},"key":"250F"},{"category":"So","mappings":{"default":{"default":"box drawings light down and left","alternative":"forms light down and left"}},"key":"2510"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left heavy","alternative":"forms down light and left heavy"}},"key":"2511"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left light","alternative":"forms down heavy and left light"}},"key":"2512"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and left","alternative":"forms heavy down and left"}},"key":"2513"},{"category":"So","mappings":{"default":{"default":"box drawings light up and right","alternative":"forms light up and right"}},"key":"2514"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right heavy","alternative":"forms up light and right heavy"}},"key":"2515"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right light","alternative":"forms up heavy and right light"}},"key":"2516"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and right","alternative":"forms heavy up and right"}},"key":"2517"},{"category":"So","mappings":{"default":{"default":"box drawings light up and left","alternative":"forms light up and left"}},"key":"2518"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left heavy","alternative":"forms up light and left heavy"}},"key":"2519"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left light","alternative":"forms up heavy and left light"}},"key":"251A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and left","alternative":"forms heavy up and left"}},"key":"251B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and right","alternative":"forms light vertical and right"}},"key":"251C"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and right heavy","alternative":"forms vertical light and right heavy"}},"key":"251D"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right down light","alternative":"forms up heavy and right down light"}},"key":"251E"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right up light","alternative":"forms down heavy and right up light"}},"key":"251F"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and right light","alternative":"forms vertical heavy and right light"}},"key":"2520"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right up heavy","alternative":"forms down light and right up heavy"}},"key":"2521"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right down heavy","alternative":"forms up light and right down heavy"}},"key":"2522"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and right","alternative":"forms heavy vertical and right"}},"key":"2523"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and left","alternative":"forms light vertical and left"}},"key":"2524"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and left heavy","alternative":"forms vertical light and left heavy"}},"key":"2525"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left down light","alternative":"forms up heavy and left down light"}},"key":"2526"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left up light","alternative":"forms down heavy and left up light"}},"key":"2527"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and left light","alternative":"forms vertical heavy and left light"}},"key":"2528"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left up heavy","alternative":"forms down light and left up heavy"}},"key":"2529"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left down heavy","alternative":"forms up light and left down heavy"}},"key":"252A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and left","alternative":"forms heavy vertical and left"}},"key":"252B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and horizontal","alternative":"forms light down and horizontal"}},"key":"252C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right down light","alternative":"forms left heavy and right down light"}},"key":"252D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left down light","alternative":"forms right heavy and left down light"}},"key":"252E"},{"category":"So","mappings":{"default":{"default":"box drawings down light and horizontal heavy","alternative":"forms down light and horizontal heavy"}},"key":"252F"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and horizontal light","alternative":"forms down heavy and horizontal light"}},"key":"2530"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left down heavy","alternative":"forms right light and left down heavy"}},"key":"2531"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right down heavy","alternative":"forms left light and right down heavy"}},"key":"2532"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and horizontal","alternative":"forms heavy down and horizontal"}},"key":"2533"},{"category":"So","mappings":{"default":{"default":"box drawings light up and horizontal","alternative":"forms light up and horizontal"}},"key":"2534"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right up light","alternative":"forms left heavy and right up light"}},"key":"2535"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left up light","alternative":"forms right heavy and left up light"}},"key":"2536"},{"category":"So","mappings":{"default":{"default":"box drawings up light and horizontal heavy","alternative":"forms up light and horizontal heavy"}},"key":"2537"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and horizontal light","alternative":"forms up heavy and horizontal light"}},"key":"2538"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left up heavy","alternative":"forms right light and left up heavy"}},"key":"2539"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right up heavy","alternative":"forms left light and right up heavy"}},"key":"253A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and horizontal","alternative":"forms heavy up and horizontal"}},"key":"253B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and horizontal","alternative":"forms light vertical and horizontal"}},"key":"253C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right vertical light","alternative":"forms left heavy and right vertical light"}},"key":"253D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left vertical light","alternative":"forms right heavy and left vertical light"}},"key":"253E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and horizontal heavy","alternative":"forms vertical light and horizontal heavy"}},"key":"253F"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and down horizontal light","alternative":"forms up heavy and down horizontal light"}},"key":"2540"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and up horizontal light","alternative":"forms down heavy and up horizontal light"}},"key":"2541"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and horizontal light","alternative":"forms vertical heavy and horizontal light"}},"key":"2542"},{"category":"So","mappings":{"default":{"default":"box drawings left up heavy and right down light","alternative":"forms left up heavy and right down light"}},"key":"2543"},{"category":"So","mappings":{"default":{"default":"box drawings right up heavy and left down light","alternative":"forms right up heavy and left down light"}},"key":"2544"},{"category":"So","mappings":{"default":{"default":"box drawings left down heavy and right up light","alternative":"forms left down heavy and right up light"}},"key":"2545"},{"category":"So","mappings":{"default":{"default":"box drawings right down heavy and left up light","alternative":"forms right down heavy and left up light"}},"key":"2546"},{"category":"So","mappings":{"default":{"default":"box drawings down light and up horizontal heavy","alternative":"forms down light and up horizontal heavy"}},"key":"2547"},{"category":"So","mappings":{"default":{"default":"box drawings up light and down horizontal heavy","alternative":"forms up light and down horizontal heavy"}},"key":"2548"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left vertical heavy","alternative":"forms right light and left vertical heavy"}},"key":"2549"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right vertical heavy","alternative":"forms left light and right vertical heavy"}},"key":"254A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and horizontal","alternative":"forms heavy vertical and horizontal"}},"key":"254B"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash horizontal","alternative":"forms light double dash horizontal"}},"key":"254C"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash horizontal","alternative":"forms heavy double dash horizontal"}},"key":"254D"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash vertical","alternative":"forms light double dash vertical"}},"key":"254E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash vertical","alternative":"forms heavy double dash vertical"}},"key":"254F"},{"category":"So","mappings":{"default":{"default":"box drawings double horizontal","alternative":"forms double horizontal"}},"key":"2550"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical","alternative":"forms double vertical"}},"key":"2551"},{"category":"So","mappings":{"default":{"default":"box drawings down single and right double","alternative":"forms down single and right double"}},"key":"2552"},{"category":"So","mappings":{"default":{"default":"box drawings down double and right single","alternative":"forms down double and right single"}},"key":"2553"},{"category":"So","mappings":{"default":{"default":"box drawings double down and right","alternative":"forms double down and right"}},"key":"2554"},{"category":"So","mappings":{"default":{"default":"box drawings down single and left double","alternative":"forms down single and left double"}},"key":"2555"},{"category":"So","mappings":{"default":{"default":"box drawings down double and left single","alternative":"forms down double and left single"}},"key":"2556"},{"category":"So","mappings":{"default":{"default":"box drawings double down and left","alternative":"forms double down and left"}},"key":"2557"},{"category":"So","mappings":{"default":{"default":"box drawings up single and right double","alternative":"forms up single and right double"}},"key":"2558"},{"category":"So","mappings":{"default":{"default":"box drawings up double and right single","alternative":"forms up double and right single"}},"key":"2559"},{"category":"So","mappings":{"default":{"default":"box drawings double up and right","alternative":"forms double up and right"}},"key":"255A"},{"category":"So","mappings":{"default":{"default":"box drawings up single and left double","alternative":"forms up single and left double"}},"key":"255B"},{"category":"So","mappings":{"default":{"default":"box drawings up double and left single","alternative":"forms up double and left single"}},"key":"255C"},{"category":"So","mappings":{"default":{"default":"box drawings double up and left","alternative":"forms double up and left"}},"key":"255D"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and right double","alternative":"forms vertical single and right double"}},"key":"255E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and right single","alternative":"forms vertical double and right single"}},"key":"255F"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and right","alternative":"forms double vertical and right"}},"key":"2560"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and left double","alternative":"forms vertical single and left double"}},"key":"2561"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and left single","alternative":"forms vertical double and left single"}},"key":"2562"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and left","alternative":"forms double vertical and left"}},"key":"2563"},{"category":"So","mappings":{"default":{"default":"box drawings down single and horizontal double","alternative":"forms down single and horizontal double"}},"key":"2564"},{"category":"So","mappings":{"default":{"default":"box drawings down double and horizontal single","alternative":"forms down double and horizontal single"}},"key":"2565"},{"category":"So","mappings":{"default":{"default":"box drawings double down and horizontal","alternative":"forms double down and horizontal"}},"key":"2566"},{"category":"So","mappings":{"default":{"default":"box drawings up single and horizontal double","alternative":"forms up single and horizontal double"}},"key":"2567"},{"category":"So","mappings":{"default":{"default":"box drawings up double and horizontal single","alternative":"forms up double and horizontal single"}},"key":"2568"},{"category":"So","mappings":{"default":{"default":"box drawings double up and horizontal","alternative":"forms double up and horizontal"}},"key":"2569"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and horizontal double","alternative":"forms vertical single and horizontal double"}},"key":"256A"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and horizontal single","alternative":"forms vertical double and horizontal single"}},"key":"256B"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and horizontal","alternative":"forms double vertical and horizontal"}},"key":"256C"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and right","alternative":"forms light arc down and right"}},"key":"256D"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and left","alternative":"forms light arc down and left"}},"key":"256E"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and left","alternative":"forms light arc up and left"}},"key":"256F"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and right","alternative":"forms light arc up and right"}},"key":"2570"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper right to lower left","alternative":"forms light diagonal upper right to lower left"}},"key":"2571"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper left to lower right","alternative":"forms light diagonal upper left to lower right"}},"key":"2572"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal cross","alternative":"forms light diagonal cross"}},"key":"2573"},{"category":"So","mappings":{"default":{"default":"box drawings light left","alternative":"forms light left"}},"key":"2574"},{"category":"So","mappings":{"default":{"default":"box drawings light up","alternative":"forms light up"}},"key":"2575"},{"category":"So","mappings":{"default":{"default":"box drawings light right","alternative":"forms light right"}},"key":"2576"},{"category":"So","mappings":{"default":{"default":"box drawings light down","alternative":"forms light down"}},"key":"2577"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left","alternative":"forms heavy left"}},"key":"2578"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up","alternative":"forms heavy up"}},"key":"2579"},{"category":"So","mappings":{"default":{"default":"box drawings heavy right","alternative":"forms heavy right"}},"key":"257A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down","alternative":"forms heavy down"}},"key":"257B"},{"category":"So","mappings":{"default":{"default":"box drawings light left and heavy right","alternative":"forms light left and heavy right"}},"key":"257C"},{"category":"So","mappings":{"default":{"default":"box drawings light up and heavy down","alternative":"forms light up and heavy down"}},"key":"257D"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left and light right","alternative":"forms heavy left and light right"}},"key":"257E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and light down","alternative":"forms heavy up and light down"}},"key":"257F"},{"category":"So","mappings":{"default":{"default":"upper half block"}},"key":"2580"},{"category":"So","mappings":{"default":{"default":"lower one eighth block"}},"key":"2581"},{"category":"So","mappings":{"default":{"default":"lower one quarter block"}},"key":"2582"},{"category":"So","mappings":{"default":{"default":"lower three eighths block"}},"key":"2583"},{"category":"So","mappings":{"default":{"default":"lower half block"}},"key":"2584"},{"category":"So","mappings":{"default":{"default":"lower five eighths block"}},"key":"2585"},{"category":"So","mappings":{"default":{"default":"lower three quarters block","alternative":"lower three quarter block"}},"key":"2586"},{"category":"So","mappings":{"default":{"default":"lower seven eighths block"}},"key":"2587"},{"category":"So","mappings":{"default":{"default":"full block"}},"key":"2588"},{"category":"So","mappings":{"default":{"default":"left seven eighths block"}},"key":"2589"},{"category":"So","mappings":{"default":{"default":"left three quarters block","alternative":"left three quarter block"}},"key":"258A"},{"category":"So","mappings":{"default":{"default":"left five eighths block"}},"key":"258B"},{"category":"So","mappings":{"default":{"default":"left half block"}},"key":"258C"},{"category":"So","mappings":{"default":{"default":"left three eighths block"}},"key":"258D"},{"category":"So","mappings":{"default":{"default":"left one quarter block"}},"key":"258E"},{"category":"So","mappings":{"default":{"default":"left one eighth block"}},"key":"258F"},{"category":"So","mappings":{"default":{"default":"right half block"}},"key":"2590"},{"category":"So","mappings":{"default":{"default":"light shade"}},"key":"2591"},{"category":"So","mappings":{"default":{"default":"medium shade"}},"key":"2592"},{"category":"So","mappings":{"default":{"default":"dark shade"}},"key":"2593"},{"category":"So","mappings":{"default":{"default":"upper one eighth block"}},"key":"2594"},{"category":"So","mappings":{"default":{"default":"right one eighth block"}},"key":"2595"},{"category":"So","mappings":{"default":{"default":"quadrant lower left"}},"key":"2596"},{"category":"So","mappings":{"default":{"default":"quadrant lower right"}},"key":"2597"},{"category":"So","mappings":{"default":{"default":"quadrant upper left"}},"key":"2598"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower left and lower right"}},"key":"2599"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower right"}},"key":"259A"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower left"}},"key":"259B"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower right"}},"key":"259C"},{"category":"So","mappings":{"default":{"default":"quadrant upper right"}},"key":"259D"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left"}},"key":"259E"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left and lower right"}},"key":"259F"},{"category":"So","mappings":{"default":{"default":"black square"}},"key":"25A0"},{"category":"So","mappings":{"default":{"default":"white square"}},"key":"25A1"},{"category":"So","mappings":{"default":{"default":"white square with rounded corners"}},"key":"25A2"},{"category":"So","mappings":{"default":{"default":"white square containing black small square"}},"key":"25A3"},{"category":"So","mappings":{"default":{"default":"square with horizontal fill"}},"key":"25A4"},{"category":"So","mappings":{"default":{"default":"square with vertical fill"}},"key":"25A5"},{"category":"So","mappings":{"default":{"default":"square with orthogonal crosshatch fill"}},"key":"25A6"},{"category":"So","mappings":{"default":{"default":"square with upper left to lower right fill"}},"key":"25A7"},{"category":"So","mappings":{"default":{"default":"square with upper right to lower left fill"}},"key":"25A8"},{"category":"So","mappings":{"default":{"default":"square with diagonal crosshatch fill"}},"key":"25A9"},{"category":"So","mappings":{"default":{"default":"black small square"}},"key":"25AA"},{"category":"So","mappings":{"default":{"default":"white small square"}},"key":"25AB"},{"category":"So","mappings":{"default":{"default":"black rectangle"}},"key":"25AC"},{"category":"So","mappings":{"default":{"default":"white rectangle"}},"key":"25AD"},{"category":"So","mappings":{"default":{"default":"black vertical rectangle"}},"key":"25AE"},{"category":"So","mappings":{"default":{"default":"white vertical rectangle"}},"key":"25AF"},{"category":"So","mappings":{"default":{"default":"black parallelogram"}},"key":"25B0"},{"category":"So","mappings":{"default":{"default":"white parallelogram"}},"key":"25B1"},{"category":"So","mappings":{"default":{"default":"black up pointing triangle","alternative":"black up pointing triangle"}},"key":"25B2"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle","alternative":"white up pointing triangle"}},"key":"25B3"},{"category":"So","mappings":{"default":{"default":"black up pointing small triangle","alternative":"black up pointing small triangle"}},"key":"25B4"},{"category":"So","mappings":{"default":{"default":"white up pointing small triangle","alternative":"white up pointing small triangle"}},"key":"25B5"},{"category":"So","mappings":{"default":{"default":"black right pointing triangle","alternative":"black right pointing triangle"}},"key":"25B6"},{"category":"Sm","mappings":{"default":{"default":"white right pointing triangle","alternative":"white right pointing triangle"}},"key":"25B7"},{"category":"So","mappings":{"default":{"default":"black right pointing small triangle","alternative":"black right pointing small triangle"}},"key":"25B8"},{"category":"So","mappings":{"default":{"default":"white right pointing small triangle","alternative":"white right pointing small triangle"}},"key":"25B9"},{"category":"So","mappings":{"default":{"default":"black right pointing pointer","alternative":"black right pointing pointer"}},"key":"25BA"},{"category":"So","mappings":{"default":{"default":"white right pointing pointer","alternative":"white right pointing pointer"}},"key":"25BB"},{"category":"So","mappings":{"default":{"default":"black down pointing triangle","alternative":"black down pointing triangle"}},"key":"25BC"},{"category":"So","mappings":{"default":{"default":"white down pointing triangle","alternative":"white down pointing triangle"}},"key":"25BD"},{"category":"So","mappings":{"default":{"default":"black down pointing small triangle","alternative":"black down pointing small triangle"}},"key":"25BE"},{"category":"So","mappings":{"default":{"default":"white down pointing small triangle","alternative":"white down pointing small triangle"}},"key":"25BF"},{"category":"So","mappings":{"default":{"default":"black left pointing triangle","alternative":"black left pointing triangle"}},"key":"25C0"},{"category":"Sm","mappings":{"default":{"default":"white left pointing triangle","alternative":"white left pointing triangle"}},"key":"25C1"},{"category":"So","mappings":{"default":{"default":"black left pointing small triangle","alternative":"black left pointing small triangle"}},"key":"25C2"},{"category":"So","mappings":{"default":{"default":"white left pointing small triangle","alternative":"white left pointing small triangle"}},"key":"25C3"},{"category":"So","mappings":{"default":{"default":"black left pointing pointer","alternative":"black left pointing pointer"}},"key":"25C4"},{"category":"So","mappings":{"default":{"default":"white left pointing pointer","alternative":"white left pointing pointer"}},"key":"25C5"},{"category":"So","mappings":{"default":{"default":"black diamond"}},"key":"25C6"},{"category":"So","mappings":{"default":{"default":"white diamond"}},"key":"25C7"},{"category":"So","mappings":{"default":{"default":"white diamond containing black small diamond"}},"key":"25C8"},{"category":"So","mappings":{"default":{"default":"fisheye"}},"key":"25C9"},{"category":"So","mappings":{"default":{"default":"lozenge"}},"key":"25CA"},{"category":"So","mappings":{"default":{"default":"white circle"}},"key":"25CB"},{"category":"So","mappings":{"default":{"default":"dotted circle"}},"key":"25CC"},{"category":"So","mappings":{"default":{"default":"circle with vertical fill"}},"key":"25CD"},{"category":"So","mappings":{"default":{"default":"bullseye"}},"key":"25CE"},{"category":"So","mappings":{"default":{"default":"black circle"}},"key":"25CF"},{"category":"So","mappings":{"default":{"default":"circle with left half black"}},"key":"25D0"},{"category":"So","mappings":{"default":{"default":"circle with right half black"}},"key":"25D1"},{"category":"So","mappings":{"default":{"default":"circle with lower half black"}},"key":"25D2"},{"category":"So","mappings":{"default":{"default":"circle with upper half black"}},"key":"25D3"},{"category":"So","mappings":{"default":{"default":"circle with upper right quadrant black"}},"key":"25D4"},{"category":"So","mappings":{"default":{"default":"circle with all but upper left quadrant black"}},"key":"25D5"},{"category":"So","mappings":{"default":{"default":"left half black circle"}},"key":"25D6"},{"category":"So","mappings":{"default":{"default":"right half black circle"}},"key":"25D7"},{"category":"So","mappings":{"default":{"default":"inverse bullet"}},"key":"25D8"},{"category":"So","mappings":{"default":{"default":"inverse white circle"}},"key":"25D9"},{"category":"So","mappings":{"default":{"default":"upper half inverse white circle"}},"key":"25DA"},{"category":"So","mappings":{"default":{"default":"lower half inverse white circle"}},"key":"25DB"},{"category":"So","mappings":{"default":{"default":"upper left quadrant circular arc"}},"key":"25DC"},{"category":"So","mappings":{"default":{"default":"upper right quadrant circular arc"}},"key":"25DD"},{"category":"So","mappings":{"default":{"default":"lower right quadrant circular arc"}},"key":"25DE"},{"category":"So","mappings":{"default":{"default":"lower left quadrant circular arc"}},"key":"25DF"},{"category":"So","mappings":{"default":{"default":"upper half circle"}},"key":"25E0"},{"category":"So","mappings":{"default":{"default":"lower half circle"}},"key":"25E1"},{"category":"So","mappings":{"default":{"default":"black lower right triangle"}},"key":"25E2"},{"category":"So","mappings":{"default":{"default":"black lower left triangle"}},"key":"25E3"},{"category":"So","mappings":{"default":{"default":"black upper left triangle"}},"key":"25E4"},{"category":"So","mappings":{"default":{"default":"black upper right triangle"}},"key":"25E5"},{"category":"So","mappings":{"default":{"default":"white bullet"}},"key":"25E6"},{"category":"So","mappings":{"default":{"default":"square with left half black"}},"key":"25E7"},{"category":"So","mappings":{"default":{"default":"square with right half black"}},"key":"25E8"},{"category":"So","mappings":{"default":{"default":"square with upper left diagonal half black"}},"key":"25E9"},{"category":"So","mappings":{"default":{"default":"square with lower right diagonal half black"}},"key":"25EA"},{"category":"So","mappings":{"default":{"default":"white square with vertical bisecting line"}},"key":"25EB"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle with dot","alternative":"white up pointing triangle with dot"}},"key":"25EC"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with left half black","alternative":"up pointing triangle with left half black"}},"key":"25ED"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with right half black","alternative":"up pointing triangle with right half black"}},"key":"25EE"},{"category":"So","mappings":{"default":{"default":"large circle"}},"key":"25EF"},{"category":"So","mappings":{"default":{"default":"white square with upper left quadrant"}},"key":"25F0"},{"category":"So","mappings":{"default":{"default":"white square with lower left quadrant"}},"key":"25F1"},{"category":"So","mappings":{"default":{"default":"white square with lower right quadrant"}},"key":"25F2"},{"category":"So","mappings":{"default":{"default":"white square with upper right quadrant"}},"key":"25F3"},{"category":"So","mappings":{"default":{"default":"white circle with upper left quadrant"}},"key":"25F4"},{"category":"So","mappings":{"default":{"default":"white circle with lower left quadrant"}},"key":"25F5"},{"category":"So","mappings":{"default":{"default":"white circle with lower right quadrant"}},"key":"25F6"},{"category":"So","mappings":{"default":{"default":"white circle with upper right quadrant"}},"key":"25F7"},{"category":"Sm","mappings":{"default":{"default":"upper left triangle"}},"key":"25F8"},{"category":"Sm","mappings":{"default":{"default":"upper right triangle"}},"key":"25F9"},{"category":"Sm","mappings":{"default":{"default":"lower left triangle"}},"key":"25FA"},{"category":"Sm","mappings":{"default":{"default":"white medium square"}},"key":"25FB"},{"category":"Sm","mappings":{"default":{"default":"black medium square"}},"key":"25FC"},{"category":"Sm","mappings":{"default":{"default":"white medium small square"}},"key":"25FD"},{"category":"Sm","mappings":{"default":{"default":"black medium small square"}},"key":"25FE"},{"category":"Sm","mappings":{"default":{"default":"lower right triangle"}},"key":"25FF"},{"category":"So","mappings":{"default":{"default":"square with top half black"}},"key":"2B12"},{"category":"So","mappings":{"default":{"default":"square with bottom half black"}},"key":"2B13"},{"category":"So","mappings":{"default":{"default":"square with upper right diagonal half black"}},"key":"2B14"},{"category":"So","mappings":{"default":{"default":"square with lower left diagonal half black"}},"key":"2B15"},{"category":"So","mappings":{"default":{"default":"diamond with left half black"}},"key":"2B16"},{"category":"So","mappings":{"default":{"default":"diamond with right half black"}},"key":"2B17"},{"category":"So","mappings":{"default":{"default":"diamond with top half black"}},"key":"2B18"},{"category":"So","mappings":{"default":{"default":"diamond with bottom half black"}},"key":"2B19"},{"category":"So","mappings":{"default":{"default":"dotted square"}},"key":"2B1A"},{"category":"So","mappings":{"default":{"default":"black large square"}},"key":"2B1B"},{"category":"So","mappings":{"default":{"default":"white large square"}},"key":"2B1C"},{"category":"So","mappings":{"default":{"default":"black very small square"}},"key":"2B1D"},{"category":"So","mappings":{"default":{"default":"white very small square"}},"key":"2B1E"},{"category":"So","mappings":{"default":{"default":"black pentagon"}},"key":"2B1F"},{"category":"So","mappings":{"default":{"default":"white pentagon"}},"key":"2B20"},{"category":"So","mappings":{"default":{"default":"white hexagon"}},"key":"2B21"},{"category":"So","mappings":{"default":{"default":"black hexagon"}},"key":"2B22"},{"category":"So","mappings":{"default":{"default":"horizontal black hexagon"}},"key":"2B23"},{"category":"So","mappings":{"default":{"default":"black large circle"}},"key":"2B24"},{"category":"So","mappings":{"default":{"default":"black medium diamond"}},"key":"2B25"},{"category":"So","mappings":{"default":{"default":"white medium diamond"}},"key":"2B26"},{"category":"So","mappings":{"default":{"default":"black medium lozenge"}},"key":"2B27"},{"category":"So","mappings":{"default":{"default":"white medium lozenge"}},"key":"2B28"},{"category":"So","mappings":{"default":{"default":"black small diamond"}},"key":"2B29"},{"category":"So","mappings":{"default":{"default":"black small lozenge"}},"key":"2B2A"},{"category":"So","mappings":{"default":{"default":"white small lozenge"}},"key":"2B2B"},{"category":"So","mappings":{"default":{"default":"black horizontal ellipse"}},"key":"2B2C"},{"category":"So","mappings":{"default":{"default":"white horizontal ellipse"}},"key":"2B2D"},{"category":"So","mappings":{"default":{"default":"black vertical ellipse"}},"key":"2B2E"},{"category":"So","mappings":{"default":{"default":"white vertical ellipse"}},"key":"2B2F"},{"category":"So","mappings":{"default":{"default":"white medium star"}},"key":"2B50"},{"category":"So","mappings":{"default":{"default":"black small star"}},"key":"2B51"},{"category":"So","mappings":{"default":{"default":"white small star"}},"key":"2B52"},{"category":"So","mappings":{"default":{"default":"black right pointing pentagon"}},"key":"2B53"},{"category":"So","mappings":{"default":{"default":"white right pointing pentagon"}},"key":"2B54"},{"category":"So","mappings":{"default":{"default":"heavy large circle"}},"key":"2B55"},{"category":"So","mappings":{"default":{"default":"heavy oval with oval inside"}},"key":"2B56"},{"category":"So","mappings":{"default":{"default":"heavy circle with circle inside"}},"key":"2B57"},{"category":"So","mappings":{"default":{"default":"heavy circle"}},"key":"2B58"},{"category":"So","mappings":{"default":{"default":"heavy circled saltire"}},"key":"2B59"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/math_harpoons.js b/extensions/a11y/mathmaps/en/symbols/math_harpoons.js
deleted file mode 100644
index f74813a0d8..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/math_harpoons.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"leftwards harpoon with barb upwards","short":"left harpoon with barb up"}},"key":"21BC"},{"category":"So","mappings":{"default":{"default":"leftwards harpoon with barb downwards","short":"left harpoon with barb down"}},"key":"21BD"},{"category":"So","mappings":{"default":{"default":"upwards harpoon with barb rightwards","short":"up harpoon with barb right"}},"key":"21BE"},{"category":"So","mappings":{"default":{"default":"upwards harpoon with barb leftwards","short":"up harpoon with barb left"}},"key":"21BF"},{"category":"So","mappings":{"default":{"default":"rightwards harpoon with barb upwards","short":"right harpoon with barb up"}},"key":"21C0"},{"category":"So","mappings":{"default":{"default":"rightwards harpoon with barb downwards","short":"right harpoon with barb down"}},"key":"21C1"},{"category":"So","mappings":{"default":{"default":"downwards harpoon with barb rightwards","short":"down harpoon with barb right"}},"key":"21C2"},{"category":"So","mappings":{"default":{"default":"downwards harpoon with barb leftwards","short":"down harpoon with barb left"}},"key":"21C3"},{"category":"So","mappings":{"default":{"default":"leftwards harpoon over rightwards harpoon","short":"left harpoon over right harpoon"}},"key":"21CB"},{"category":"So","mappings":{"default":{"default":"rightwards harpoon over leftwards harpoon","short":"right harpoon over left harpoon"}},"key":"21CC"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb down harpoon"}},"key":"294A"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb up harpoon"}},"key":"294B"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb left harpoon"}},"key":"294C"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb right harpoon"}},"key":"294D"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb up harpoon"}},"key":"294E"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb right harpoon"}},"key":"294F"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb down harpoon"}},"key":"2950"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb left harpoon"}},"key":"2951"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up to bar","short":"left harpoon with barb up to bar"}},"key":"2952"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up to bar","short":"right harpoon with barb up to bar"}},"key":"2953"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb right to bar","short":"up harpoon with barb right to bar"}},"key":"2954"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb right to bar","short":"down harpoon with barb right to bar"}},"key":"2955"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down to bar","short":"left harpoon with barb down to bar"}},"key":"2956"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down to bar","short":"right harpoon with barb down to bar"}},"key":"2957"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left to bar","short":"up harpoon with barb left to bar"}},"key":"2958"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left to bar","short":"down harpoon with barb left to bar"}},"key":"2959"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up from bar","short":"left harpoon with barb up from bar"}},"key":"295A"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up from bar","short":"right harpoon with barb up from bar"}},"key":"295B"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb right from bar","short":"up harpoon with barb right from bar"}},"key":"295C"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb right from bar","short":"down harpoon with barb right from bar"}},"key":"295D"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down from bar","short":"left harpoon with barb down from bar"}},"key":"295E"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down from bar","short":"right harpoon with barb down from bar"}},"key":"295F"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left from bar","short":"up harpoon with barb left from bar"}},"key":"2960"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left from bar","short":"down harpoon with barb left from bar"}},"key":"2961"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up above leftwards harpoon with barb down","short":"left harpoon with barb up above left harpoon with barb down"}},"key":"2962"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left beside upwards harpoon with barb right","short":"up harpoon with barb left beside up harpoon with barb right"}},"key":"2963"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up above rightwards harpoon with barb down","short":"right harpoon with barb up above right harpoon with barb down"}},"key":"2964"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left beside downwards harpoon with barb right","short":"down harpoon with barb left beside down harpoon with barb right"}},"key":"2965"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up above rightwards harpoon with barb up","short":"left harpoon with barb up above right harpoon with barb up"}},"key":"2966"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down above rightwards harpoon with barb down","short":"left harpoon with barb down above right harpoon with barb down"}},"key":"2967"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up above leftwards harpoon with barb up","short":"right harpoon with barb up above left harpoon with barb up"}},"key":"2968"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down above leftwards harpoon with barb down","short":"right harpoon with barb down above left harpoon with barb down"}},"key":"2969"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up above long dash","short":"left harpoon with barb up above long dash"}},"key":"296A"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down below long dash","short":"left harpoon with barb down below long dash"}},"key":"296B"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up above long dash","short":"right harpoon with barb up above long dash"}},"key":"296C"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down below long dash","short":"right harpoon with barb down below long dash"}},"key":"296D"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left beside downwards harpoon with barb right","short":"up harpoon with barb left beside down harpoon with barb right"}},"key":"296E"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left beside upwards harpoon with barb right","short":"down harpoon with barb left beside up harpoon with barb right"}},"key":"296F"},{"category":"Sm","mappings":{"default":{"default":"left fish tail"}},"key":"297C"},{"category":"Sm","mappings":{"default":{"default":"right fish tail"}},"key":"297D"},{"category":"Sm","mappings":{"default":{"default":"up fish tail"}},"key":"297E"},{"category":"Sm","mappings":{"default":{"default":"down fish tail"}},"key":"297F"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/math_non_characters.js b/extensions/a11y/mathmaps/en/symbols/math_non_characters.js
deleted file mode 100644
index fa64c5f718..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/math_non_characters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small h over two time greek letter pi","alternative":"italic small h over two pi","short":"italic h over two pi"},"physics":{"default":"planck constant over two pi","alternative":"planck constant over 2 pi"}},"key":"210F"},{"category":"So","mappings":{"default":{"default":"l b bar symbol","short":"l b bar"}},"key":"2114"},{"category":"So","mappings":{"default":{"default":"numero sign","alternative":"numero","short":"numero"}},"key":"2116"},{"category":"So","mappings":{"default":{"default":"sound recording copyright"}},"key":"2117"},{"category":"So","mappings":{"default":{"default":"prescription take"}},"key":"211E"},{"category":"So","mappings":{"default":{"default":"response"}},"key":"211F"},{"category":"So","mappings":{"default":{"default":"service mark"}},"key":"2120"},{"category":"So","mappings":{"default":{"default":"telephone sign","alternative":"t e l symbol"}},"key":"2121"},{"category":"So","mappings":{"default":{"default":"trade mark sign","alternative":"trademark","short":"trade mark"}},"key":"2122"},{"category":"So","mappings":{"default":{"default":"versicle"}},"key":"2123"},{"category":"So","mappings":{"default":{"default":"ounce sign","alternative":"ounce","short":"ounce"}},"key":"2125"},{"category":"Lu","mappings":{"default":{"default":"ohm sign","alternative":"ohm","short":"ohm"}},"key":"2126"},{"category":"So","mappings":{"default":{"default":"inverted ohm sign","alternative":"mho","short":"inverted ohm"}},"key":"2127"},{"category":"Lu","mappings":{"default":{"default":"kelvin sign","alternative":"degrees kelvin","short":"kelvin"}},"key":"212A"},{"category":"Lu","mappings":{"default":{"default":"angstrom sign","alternative":"angstrom unit","short":"angstrom"}},"key":"212B"},{"category":"So","mappings":{"default":{"default":"estimated symbol","short":"estimated"}},"key":"212E"},{"category":"Lu","mappings":{"default":{"default":"turned capital f","alternative":"turned f","short":"turned cap f"},"mathspeak":{"default":"turned upper F"}},"key":"2132"},{"category":"Ll","mappings":{"default":{"default":"information source"}},"key":"2139"},{"category":"So","mappings":{"default":{"default":"rotated capital q","short":"rotated cap q"},"mathspeak":{"default":"rotated upper Q"}},"key":"213A"},{"category":"So","mappings":{"default":{"default":"facsimile sign"}},"key":"213B"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif capital g","short":"turned sans serif cap g"},"mathspeak":{"default":"turned sans serif upper G"}},"key":"2141"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif capital l","short":"turned sans serif cap l"},"mathspeak":{"default":"turned sans serif upper L"}},"key":"2142"},{"category":"Sm","mappings":{"default":{"default":"reversed sans serif capital l","short":"reversed sans serif cap l"},"mathspeak":{"default":"reversed sans serif upper L"}},"key":"2143"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif capital y","short":"turned sans serif cap y"},"mathspeak":{"default":"turned sans serif upper Y"}},"key":"2144"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/math_symbols.js b/extensions/a11y/mathmaps/en/symbols/math_symbols.js
deleted file mode 100644
index b52ead27af..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/math_symbols.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Po","mappings":{"default":{"default":"factorial operator","alternative":"exclamation mark","short":"factorial"},"mathspeak":{"default":"exclamation-mark"}},"key":"0021"},{"category":"Po","mappings":{"default":{"default":"quotation mark"},"mathspeak":{"default":"quotation-mark"}},"key":"0022"},{"category":"Po","mappings":{"default":{"default":"number sign","alternative":"hash","short":"number"},"mathspeak":{"default":"number-sign","brief":"num-sign","sbrief":"num-sign"}},"key":"0023"},{"category":"Sc","mappings":{"default":{"default":"dollar sign","short":"dollar"},"mathspeak":{"default":"dollar-sign"}},"key":"0024"},{"category":"Po","mappings":{"default":{"default":"percent sign","short":"percent"},"mathspeak":{"default":"percent-sign"}},"key":"0025"},{"category":"Po","mappings":{"default":{"default":"ampersand"}},"key":"0026"},{"category":"Po","mappings":{"default":{"default":"apostrophe","alternative":"apostrophe quote"},"mathspeak":{"default":"prime"}},"key":"0027"},{"category":"Po","mappings":{"default":{"default":"asterisk"}},"key":"002A"},{"category":"Sm","mappings":{"default":{"default":"plus sign","short":"plus"}},"key":"002B"},{"category":"Po","mappings":{"default":{"default":"comma"}},"key":"002C"},{"category":"Pd","mappings":{"default":{"default":"hyphen minus","short":"minus"},"mathspeak":{"default":"hyphen"}},"key":"002D"},{"category":"Po","mappings":{"default":{"default":"full stop","alternative":"period"},"mathspeak":{"default":"period"}},"key":"002E"},{"category":"Po","mappings":{"default":{"default":"solidus","alternative":"slash"},"mathspeak":{"default":"slash"},"emacspeak":{"default":"slash"}},"key":"002F"},{"category":"Po","mappings":{"default":{"default":"colon"}},"key":"003A"},{"category":"Po","mappings":{"default":{"default":"semicolon"}},"key":"003B"},{"category":"Sm","mappings":{"default":{"default":"less than sign","short":"less than"},"mathspeak":{"default":"less-than"}},"key":"003C"},{"category":"Sm","mappings":{"default":{"default":"equals sign","short":"equals"}},"key":"003D"},{"category":"Sm","mappings":{"default":{"default":"greater than sign","short":"greater than"},"mathspeak":{"default":"greater-than"}},"key":"003E"},{"category":"Po","mappings":{"default":{"default":"question mark"},"mathspeak":{"default":"question-mark"}},"key":"003F"},{"category":"Po","mappings":{"default":{"default":"commercial at","short":"at"},"mathspeak":{"default":"commercial-at"}},"key":"0040"},{"category":"Po","mappings":{"default":{"default":"reverse solidus","alternative":"backslash"},"mathspeak":{"default":"reverse-solidus"}},"key":"005C"},{"category":"Sk","mappings":{"default":{"default":"circumflex accent","alternative":"spacing circumflex","short":"hat"},"mathspeak":{"default":"caret"}},"key":"005E"},{"category":"Pc","mappings":{"default":{"default":"low line","alternative":"spacing underscore"},"mathspeak":{"default":"bar"}},"key":"005F"},{"category":"Sk","mappings":{"default":{"default":"grave accent","alternative":"spacing grave","short":"grave"},"mathspeak":{"default":"grave"}},"key":"0060"},{"category":"Sm","mappings":{"default":{"default":"vertical line","alternative":"vertical bar"},"mathspeak":{"default":"vertical-bar"}},"key":"007C"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"007E"},{"category":"Po","mappings":{"default":{"default":"inverted exclamation mark"},"mathspeak":{"default":"inverted-exclamation-mark"}},"key":"00A1"},{"category":"Sc","mappings":{"default":{"default":"cent sign","short":"cent"},"mathspeak":{"default":"cent-sign"}},"key":"00A2"},{"category":"Sc","mappings":{"default":{"default":"pound sign","short":"pound"},"mathspeak":{"default":"pound-sign"}},"key":"00A3"},{"category":"Sc","mappings":{"default":{"default":"currency sign","short":"currency"},"mathspeak":{"default":"currency-sign"}},"key":"00A4"},{"category":"Sc","mappings":{"default":{"default":"yen sign","short":"yen"},"mathspeak":{"default":"yen-sign"}},"key":"00A5"},{"category":"So","mappings":{"default":{"default":"broken bar","alternative":"broken vertical bar"},"mathspeak":{"default":"broken-vertical-bar"}},"key":"00A6"},{"category":"Po","mappings":{"default":{"default":"section sign","short":"section"},"mathspeak":{"default":"section-sign"}},"key":"00A7"},{"category":"Sk","mappings":{"default":{"default":"diaeresis","alternative":"spacing diaeresis","short":"double dot"},"mathspeak":{"default":"two-dots"}},"key":"00A8"},{"category":"So","mappings":{"default":{"default":"copyright sign","short":"copyright"},"mathspeak":{"default":"copyright-sign"}},"key":"00A9"},{"category":"Lo","mappings":{"default":{"default":"feminine ordinal indicator"},"mathspeak":{"default":"feminine-ordinal-indicator"}},"key":"00AA"},{"category":"Pi","mappings":{"default":{"default":"left pointing double angle quotation mark","alternative":"left pointing guillemet"},"mathspeak":{"default":"left-pointing-guillemet"}},"key":"00AB"},{"category":"Sm","mappings":{"default":{"default":"not sign","short":"not"},"mathspeak":{"default":"not-sign"}},"key":"00AC"},{"category":"So","mappings":{"default":{"default":"registered sign","alternative":"registered trade mark sign","short":"registered"},"mathspeak":{"default":"registered-trade-mark-sign"}},"key":"00AE"},{"category":"Sk","mappings":{"default":{"default":"macron","alternative":"spacing macron"},"mathspeak":{"default":"bar"}},"key":"00AF"},{"category":"So","mappings":{"default":{"default":"degree sign","short":"degree"},"mathspeak":{"default":"degree"}},"key":"00B0"},{"category":"Sm","mappings":{"default":{"default":"plus minus sign","alternative":"plus or minus sign","short":"plus minus"},"mathspeak":{"default":"plus-or-minus"}},"key":"00B1"},{"category":"Sk","mappings":{"default":{"default":"acute accent","alternative":"spacing acute","short":"acute"},"mathspeak":{"default":"acute"}},"key":"00B4"},{"category":"Ll","mappings":{"default":{"default":"micro sign","short":"micro"},"mathspeak":{"default":"micro-sign"}},"key":"00B5"},{"category":"Po","mappings":{"default":{"default":"pilcrow sign","alternative":"paragraph sign","short":"pilcrow"},"mathspeak":{"default":"paragraph-sign"}},"key":"00B6"},{"category":"Po","mappings":{"default":{"default":"middle dot"},"mathspeak":{"default":"dot"}},"key":"00B7"},{"category":"Sk","mappings":{"default":{"default":"cedilla","alternative":"spacing cedilla"},"mathspeak":{"default":"cedilla"}},"key":"00B8"},{"category":"Lo","mappings":{"default":{"default":"masculine ordinal indicator"},"mathspeak":{"default":"masculine-ordinal-indicator"}},"key":"00BA"},{"category":"Pf","mappings":{"default":{"default":"right pointing double angle quotation mark","alternative":"right pointing guillemet"},"mathspeak":{"default":"right-pointing-guillemet"}},"key":"00BB"},{"category":"Po","mappings":{"default":{"default":"inverted question mark"},"mathspeak":{"default":"inverted-question-mark"}},"key":"00BF"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign","short":"multiplication"},"mathspeak":{"default":"times"}},"key":"00D7"},{"category":"Sm","mappings":{"default":{"default":"division sign","short":"division"},"mathspeak":{"default":"division-sign"}},"key":"00F7"},{"category":"Sk","mappings":{"default":{"default":"breve","alternative":"spacing breve"},"mathspeak":{"default":"breve"}},"key":"02D8"},{"category":"Sk","mappings":{"default":{"default":"dot above","alternative":"spacing dot above"},"mathspeak":{"default":"dot"}},"key":"02D9"},{"category":"Sk","mappings":{"default":{"default":"ring above","alternative":"spacing ring above"},"mathspeak":{"default":"ring-above"}},"key":"02DA"},{"category":"Sk","mappings":{"default":{"default":"ogonek","alternative":"spacing ogonek"},"mathspeak":{"default":"ogonek"}},"key":"02DB"},{"category":"Sk","mappings":{"default":{"default":"small tilde","alternative":"spacing tilde"},"mathspeak":{"default":"tilde"}},"key":"02DC"},{"category":"Sk","mappings":{"default":{"default":"double acute accent","alternative":"spacing double acute"},"mathspeak":{"default":"double-acute"}},"key":"02DD"},{"category":"Pd","mappings":{"default":{"default":"hyphen"}},"key":"2010"},{"category":"Pd","mappings":{"default":{"default":"non breaking hyphen"},"mathspeak":{"default":"non-breaking-hyphen"}},"key":"2011"},{"category":"Pd","mappings":{"default":{"default":"figure dash"},"mathspeak":{"default":"figure-dash"}},"key":"2012"},{"category":"Pd","mappings":{"default":{"default":"en dash"},"mathspeak":{"default":"en-dash"}},"key":"2013"},{"category":"Pd","mappings":{"default":{"default":"em dash"},"mathspeak":{"default":"em-dash"}},"key":"2014"},{"category":"Pd","mappings":{"default":{"default":"horizontal bar","alternative":"quotation dash"},"mathspeak":{"default":"quotation-dash"}},"key":"2015"},{"category":"Po","mappings":{"default":{"default":"double vertical line","alternative":"double vertical bar"},"mathspeak":{"default":"double-vertical-bar"}},"key":"2016"},{"category":"Po","mappings":{"default":{"default":"double low line","alternative":"spacing double underscore"},"mathspeak":{"default":"double-underscore"}},"key":"2017"},{"category":"Pi","mappings":{"default":{"default":"left single quotation mark","alternative":"single turned comma quotation mark"},"mathspeak":{"default":"single-turned-comma-quotation-mark"}},"key":"2018"},{"category":"Pf","mappings":{"default":{"default":"right single quotation mark","alternative":"single comma quotation mark"},"mathspeak":{"default":"single-comma-quotation-mark"}},"key":"2019"},{"category":"Ps","mappings":{"default":{"default":"single low 9 quotation mark","alternative":"low single comma quotation mark"},"mathspeak":{"default":"low-single-comma-quotation-mark"}},"key":"201A"},{"category":"Pi","mappings":{"default":{"default":"single high reversed 9 quotation mark","alternative":"single reversed comma quotation mark"},"mathspeak":{"default":"single-reversed-comma-quotation-mark"}},"key":"201B"},{"category":"Pi","mappings":{"default":{"default":"left double quotation mark","alternative":"double turned comma quotation mark"},"mathspeak":{"default":"double-turned-comma-quotation-mark"}},"key":"201C"},{"category":"Pf","mappings":{"default":{"default":"right double quotation mark","alternative":"double comma quotation mark"},"mathspeak":{"default":"double-comma-quotation-mark"}},"key":"201D"},{"category":"Ps","mappings":{"default":{"default":"double low 9 quotation mark","alternative":"low double comma quotation mark"},"mathspeak":{"default":"low-double-comma-quotation-mark"}},"key":"201E"},{"category":"Pi","mappings":{"default":{"default":"double high reversed 9 quotation mark","alternative":"double reversed comma quotation mark"},"mathspeak":{"default":"double-reversed-comma-quotation-mark"}},"key":"201F"},{"category":"Po","mappings":{"default":{"default":"dagger"}},"key":"2020"},{"category":"Po","mappings":{"default":{"default":"double dagger"},"mathspeak":{"default":"double-dagger"}},"key":"2021"},{"category":"Po","mappings":{"default":{"default":"bullet"}},"key":"2022"},{"category":"Po","mappings":{"default":{"default":"triangular bullet"},"mathspeak":{"default":"triangular-bullet"}},"key":"2023"},{"category":"Po","mappings":{"default":{"default":"one dot leader"},"mathspeak":{"default":"one-dot-leader"}},"key":"2024"},{"category":"Po","mappings":{"default":{"default":"two dot leader"},"mathspeak":{"default":"two-dot-leader"}},"key":"2025"},{"category":"Po","mappings":{"default":{"default":"horizontal ellipsis"},"mathspeak":{"default":"ellipsis"}},"key":"2026"},{"category":"Po","mappings":{"default":{"default":"hyphenation point"},"mathspeak":{"default":"hyphenation-point"}},"key":"2027"},{"category":"Po","mappings":{"default":{"default":"per mille sign","short":"per mille"},"mathspeak":{"default":"per-mille"}},"key":"2030"},{"category":"Po","mappings":{"default":{"default":"per ten thousand sign","short":"per ten thousand"},"mathspeak":{"default":"per-ten-thousand"}},"key":"2031"},{"category":"Po","mappings":{"default":{"default":"prime"}},"key":"2032"},{"category":"Po","mappings":{"default":{"default":"double prime"},"mathspeak":{"default":"double-prime"}},"key":"2033"},{"category":"Po","mappings":{"default":{"default":"triple prime"},"mathspeak":{"default":"triple-prime"}},"key":"2034"},{"category":"Po","mappings":{"default":{"default":"reversed prime"},"mathspeak":{"default":"reversed-prime"}},"key":"2035"},{"category":"Po","mappings":{"default":{"default":"reversed double prime"},"mathspeak":{"default":"reversed-double-prime"}},"key":"2036"},{"category":"Po","mappings":{"default":{"default":"reversed triple prime"},"mathspeak":{"default":"reversed-triple-prime"}},"key":"2037"},{"category":"Po","mappings":{"default":{"default":"caret"}},"key":"2038"},{"category":"Pi","mappings":{"default":{"default":"single left pointing angle quotation mark","alternative":"left pointing single guillemet"},"mathspeak":{"default":"left-pointing-single-guillemet"}},"key":"2039"},{"category":"Pf","mappings":{"default":{"default":"single right pointing angle quotation mark","alternative":"right pointing single guillemet"},"mathspeak":{"default":"right-pointing-single-guillemet"}},"key":"203A"},{"category":"Po","mappings":{"default":{"default":"reference mark"},"mathspeak":{"default":"reference-mark"}},"key":"203B"},{"category":"Po","mappings":{"default":{"default":"double exclamation mark"},"mathspeak":{"default":"double-exclamation-mark"}},"key":"203C"},{"category":"Po","mappings":{"default":{"default":"interrobang"}},"key":"203D"},{"category":"Po","mappings":{"default":{"default":"overline","alternative":"spacing overscore"},"mathspeak":{"default":"bar"}},"key":"203E"},{"category":"Pc","mappings":{"default":{"default":"undertie"}},"key":"203F"},{"category":"Pc","mappings":{"default":{"default":"character tie"},"mathspeak":{"default":"character-tie"}},"key":"2040"},{"category":"Po","mappings":{"default":{"default":"caret insertion point"},"mathspeak":{"default":"caret-insertion-point"}},"key":"2041"},{"category":"Po","mappings":{"default":{"default":"asterism"}},"key":"2042"},{"category":"Po","mappings":{"default":{"default":"hyphen bullet"},"mathspeak":{"default":"hyphen-bullet"}},"key":"2043"},{"category":"Sm","mappings":{"default":{"default":"fraction slash"},"mathspeak":{"default":"fraction-slash"}},"key":"2044"},{"category":"Po","mappings":{"default":{"default":"double question mark"},"mathspeak":{"default":"double-question-mark"}},"key":"2047"},{"category":"Po","mappings":{"default":{"default":"question exclamation mark"},"mathspeak":{"default":"question-exclamation-mark"}},"key":"2048"},{"category":"Po","mappings":{"default":{"default":"exclamation question mark"},"mathspeak":{"default":"exclamation-question-mark"}},"key":"2049"},{"category":"Po","mappings":{"default":{"default":"reversed pilcrow sign","short":"reversed pilcrow"},"mathspeak":{"default":"reversed-pilcrow"}},"key":"204B"},{"category":"Po","mappings":{"default":{"default":"black leftwards bullet"},"mathspeak":{"default":"black-leftwards-bullet"}},"key":"204C"},{"category":"Po","mappings":{"default":{"default":"black rightwards bullet"},"mathspeak":{"default":"black-rightwards-bullet"}},"key":"204D"},{"category":"Po","mappings":{"default":{"default":"low asterisk"},"mathspeak":{"default":"low-asterisk"}},"key":"204E"},{"category":"Po","mappings":{"default":{"default":"reversed semicolon"},"mathspeak":{"default":"reversed-semicolon"}},"key":"204F"},{"category":"Po","mappings":{"default":{"default":"close up"},"mathspeak":{"default":"close-up"}},"key":"2050"},{"category":"Po","mappings":{"default":{"default":"two asterisks aligned vertically"},"mathspeak":{"default":"two-asterisks-aligned-vertically"}},"key":"2051"},{"category":"Sm","mappings":{"default":{"default":"commercial minus sign","short":"commercial minus"},"mathspeak":{"default":"commercial-minus"}},"key":"2052"},{"category":"Po","mappings":{"default":{"default":"swung dash"},"mathspeak":{"default":"swung-dash"}},"key":"2053"},{"category":"Pc","mappings":{"default":{"default":"inverted undertie"},"mathspeak":{"default":"inverted-undertie"}},"key":"2054"},{"category":"Po","mappings":{"default":{"default":"flower punctuation mark"},"mathspeak":{"default":"flower-punctuation-mark"}},"key":"2055"},{"category":"Po","mappings":{"default":{"default":"three dot punctuation"},"mathspeak":{"default":"three-dot-punctuation"}},"key":"2056"},{"category":"Po","mappings":{"default":{"default":"quadruple prime"},"mathspeak":{"default":"quadruple-prime"}},"key":"2057"},{"category":"Po","mappings":{"default":{"default":"four dot punctuation"},"mathspeak":{"default":"four-dot-punctuation"}},"key":"2058"},{"category":"Po","mappings":{"default":{"default":"five dot punctuation"},"mathspeak":{"default":"five-dot-punctuation"}},"key":"2059"},{"category":"Po","mappings":{"default":{"default":"two dot punctuation"},"mathspeak":{"default":"two-dot-punctuation"}},"key":"205A"},{"category":"Po","mappings":{"default":{"default":"four dot mark"},"mathspeak":{"default":"four-dot-mark"}},"key":"205B"},{"category":"Po","mappings":{"default":{"default":"dotted cross"},"mathspeak":{"default":"dotted-cross"}},"key":"205C"},{"category":"Po","mappings":{"default":{"default":"tricolon"}},"key":"205D"},{"category":"Po","mappings":{"default":{"default":"vertical four dots"},"mathspeak":{"default":"vertical-four-dots"}},"key":"205E"},{"category":"Sm","mappings":{"default":{"default":"superscript plus sign","short":"superscript plus"},"mathspeak":{"default":"superscript-plus"}},"key":"207A"},{"category":"Sm","mappings":{"default":{"default":"superscript minus","alternative":"superscript hyphen minus"},"mathspeak":{"default":"superscript-hyphen-minus"}},"key":"207B"},{"category":"Sm","mappings":{"default":{"default":"superscript equals sign","short":"superscript equals"},"mathspeak":{"default":"superscript-equals"}},"key":"207C"},{"category":"Ps","mappings":{"default":{"default":"superscript left parenthesis","alternative":"superscript opening parenthesis"},"mathspeak":{"default":"superscript-opening-parenthesis"}},"key":"207D"},{"category":"Pe","mappings":{"default":{"default":"superscript right parenthesis","alternative":"superscript closing parenthesis"},"mathspeak":{"default":"superscript-closing-parenthesis"}},"key":"207E"},{"category":"Sm","mappings":{"default":{"default":"subscript plus sign","short":"subscript plus"},"mathspeak":{"default":"subscript-plus"}},"key":"208A"},{"category":"Sm","mappings":{"default":{"default":"subscript minus","alternative":"subscript hyphen minus"},"mathspeak":{"default":"subscript-hyphen-minus"}},"key":"208B"},{"category":"Sm","mappings":{"default":{"default":"subscript equals sign","short":"subscript equals"},"mathspeak":{"default":"subscript-equals"}},"key":"208C"},{"category":"Ps","mappings":{"default":{"default":"subscript left parenthesis","alternative":"subscript opening parenthesis"},"mathspeak":{"default":"subscript-opening-parenthesis"}},"key":"208D"},{"category":"Pe","mappings":{"default":{"default":"subscript right parenthesis","alternative":"subscript closing parenthesis"},"mathspeak":{"default":"subscript-closing-parenthesis"}},"key":"208E"},{"category":"So","mappings":{"default":{"default":"property line"},"mathspeak":{"default":"property-line"}},"key":"214A"},{"category":"Sm","mappings":{"default":{"default":"turned ampersand"},"mathspeak":{"default":"turned-ampersand"}},"key":"214B"},{"category":"So","mappings":{"default":{"default":"per sign","short":"per"},"mathspeak":{"default":"per-sign"}},"key":"214C"},{"category":"So","mappings":{"default":{"default":"aktieselskab"}},"key":"214D"},{"category":"Ll","mappings":{"default":{"default":"turned small f"},"mathspeak":{"default":"turned-small-f"}},"key":"214E"},{"category":"Sm","mappings":{"default":{"default":"for all"},"mathspeak":{"default":"for-all"}},"key":"2200"},{"category":"Sm","mappings":{"default":{"default":"complement"}},"key":"2201"},{"category":"Sm","mappings":{"default":{"default":"partial differential"},"mathspeak":{"default":"partial-differential"}},"key":"2202"},{"category":"Sm","mappings":{"default":{"default":"there exists"},"mathspeak":{"default":"there-exists"}},"key":"2203"},{"category":"Sm","mappings":{"default":{"default":"there does not exist"},"mathspeak":{"default":"there-does-not-exist"}},"key":"2204"},{"category":"Sm","mappings":{"default":{"default":"empty set"},"mathspeak":{"default":"empty-set"}},"key":"2205"},{"category":"Sm","mappings":{"default":{"default":"increment"}},"key":"2206"},{"category":"Sm","mappings":{"default":{"default":"nabla"}},"key":"2207"},{"category":"Sm","mappings":{"default":{"default":"element of"},"mathspeak":{"default":"element-of"}},"key":"2208"},{"category":"Sm","mappings":{"default":{"default":"not an element of"},"mathspeak":{"default":"not-an-element-of"}},"key":"2209"},{"category":"Sm","mappings":{"default":{"default":"small element of"},"mathspeak":{"default":"small-element-of"}},"key":"220A"},{"category":"Sm","mappings":{"default":{"default":"contains as member"},"mathspeak":{"default":"contains-as-member"}},"key":"220B"},{"category":"Sm","mappings":{"default":{"default":"does not contain as member"},"mathspeak":{"default":"does-not-contain-as-member"}},"key":"220C"},{"category":"Sm","mappings":{"default":{"default":"small contains as member"},"mathspeak":{"default":"small-contains-as-member"}},"key":"220D"},{"category":"Sm","mappings":{"default":{"default":"end of proof"},"mathspeak":{"default":"end-of-proof"}},"key":"220E"},{"category":"Sm","mappings":{"default":{"default":"n ary product"},"mathspeak":{"default":"product"}},"key":"220F"},{"category":"Sm","mappings":{"default":{"default":"n ary coproduct"},"mathspeak":{"default":"coproduct"}},"key":"2210"},{"category":"Sm","mappings":{"default":{"default":"n ary summation"},"mathspeak":{"default":"sigma-summation"}},"key":"2211"},{"category":"Sm","mappings":{"default":{"default":"minus sign","short":"minus"}},"key":"2212"},{"category":"Sm","mappings":{"default":{"default":"minus or plus sign","short":"minus or plus"},"mathspeak":{"default":"minus-or-plus"}},"key":"2213"},{"category":"Sm","mappings":{"default":{"default":"dot plus"},"mathspeak":{"default":"dot-plus"}},"key":"2214"},{"category":"Sm","mappings":{"default":{"default":"division slash"},"mathspeak":{"default":"division-slash"}},"key":"2215"},{"category":"Sm","mappings":{"default":{"default":"set minus"},"mathspeak":{"default":"set-minus"}},"key":"2216"},{"category":"Sm","mappings":{"default":{"default":"asterisk operator"},"mathspeak":{"default":"asterisk"}},"key":"2217"},{"category":"Sm","mappings":{"default":{"default":"ring operator"},"mathspeak":{"default":"ring"}},"key":"2218"},{"category":"Sm","mappings":{"default":{"default":"bullet operator"},"mathspeak":{"default":"bullet"}},"key":"2219"},{"category":"Sm","mappings":{"default":{"default":"square root"},"mathspeak":{"default":"square-root"}},"key":"221A"},{"category":"Sm","mappings":{"default":{"default":"cube root"},"mathspeak":{"default":"cube-root"}},"key":"221B"},{"category":"Sm","mappings":{"default":{"default":"fourth root"},"mathspeak":{"default":"fourth-root"}},"key":"221C"},{"category":"Sm","mappings":{"default":{"default":"proportional to"},"mathspeak":{"default":"proportional-to"}},"key":"221D"},{"category":"Sm","mappings":{"default":{"default":"infinity"}},"key":"221E"},{"category":"Sm","mappings":{"default":{"default":"right angle"},"mathspeak":{"default":"right-angle"}},"key":"221F"},{"category":"Sm","mappings":{"default":{"default":"angle"}},"key":"2220"},{"category":"Sm","mappings":{"default":{"default":"measured angle"},"mathspeak":{"default":"measured-angle"}},"key":"2221"},{"category":"Sm","mappings":{"default":{"default":"spherical angle"},"mathspeak":{"default":"spherical-angle"}},"key":"2222"},{"category":"Sm","mappings":{"default":{"default":"divides","short":"bar"}},"key":"2223"},{"category":"Sm","mappings":{"default":{"default":"does not divide"},"mathspeak":{"default":"does-not-divide"}},"key":"2224"},{"category":"Sm","mappings":{"default":{"default":"parallel to"},"mathspeak":{"default":"parallel-to"}},"key":"2225"},{"category":"Sm","mappings":{"default":{"default":"not parallel to"},"mathspeak":{"default":"not-parallel-to"}},"key":"2226"},{"category":"Sm","mappings":{"default":{"default":"logical and"},"mathspeak":{"default":"logical-and"}},"key":"2227"},{"category":"Sm","mappings":{"default":{"default":"logical or"},"mathspeak":{"default":"logical-or"}},"key":"2228"},{"category":"Sm","mappings":{"default":{"default":"intersection"}},"key":"2229"},{"category":"Sm","mappings":{"default":{"default":"union"}},"key":"222A"},{"category":"Sm","mappings":{"default":{"default":"integral"}},"key":"222B"},{"category":"Sm","mappings":{"default":{"default":"double integral"},"mathspeak":{"default":"double-integral"}},"key":"222C"},{"category":"Sm","mappings":{"default":{"default":"triple integral"},"mathspeak":{"default":"triple-integral"}},"key":"222D"},{"category":"Sm","mappings":{"default":{"default":"contour integral"},"mathspeak":{"default":"contour-integral"}},"key":"222E"},{"category":"Sm","mappings":{"default":{"default":"surface integral"},"mathspeak":{"default":"surface-integral"}},"key":"222F"},{"category":"Sm","mappings":{"default":{"default":"volume integral"},"mathspeak":{"default":"volume-integral"}},"key":"2230"},{"category":"Sm","mappings":{"default":{"default":"clockwise integral"},"mathspeak":{"default":"clockwise-integral"}},"key":"2231"},{"category":"Sm","mappings":{"default":{"default":"clockwise contour integral"},"mathspeak":{"default":"clockwise-contour-integral"}},"key":"2232"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise contour integral"},"mathspeak":{"default":"anticlockwise-contour-integral"}},"key":"2233"},{"category":"Sm","mappings":{"default":{"default":"therefore"}},"key":"2234"},{"category":"Sm","mappings":{"default":{"default":"because"}},"key":"2235"},{"category":"Sm","mappings":{"default":{"default":"ratio"}},"key":"2236"},{"category":"Sm","mappings":{"default":{"default":"proportion"}},"key":"2237"},{"category":"Sm","mappings":{"default":{"default":"dot minus"},"mathspeak":{"default":"dot-minus"}},"key":"2238"},{"category":"Sm","mappings":{"default":{"default":"excess"}},"key":"2239"},{"category":"Sm","mappings":{"default":{"default":"geometric proportion"},"mathspeak":{"default":"geometric-proportion"}},"key":"223A"},{"category":"Sm","mappings":{"default":{"default":"homothetic"}},"key":"223B"},{"category":"Sm","mappings":{"default":{"default":"tilde operator"},"mathspeak":{"default":"tilde"}},"key":"223C"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde"},"mathspeak":{"default":"reversed-tilde"}},"key":"223D"},{"category":"Sm","mappings":{"default":{"default":"inverted lazy s"},"mathspeak":{"default":"inverted-lazy-s"}},"key":"223E"},{"category":"Sm","mappings":{"default":{"default":"sine wave"},"mathspeak":{"default":"sine-wave"}},"key":"223F"},{"category":"Sm","mappings":{"default":{"default":"wreath product"},"mathspeak":{"default":"wreath-product"}},"key":"2240"},{"category":"Sm","mappings":{"default":{"default":"not tilde"},"mathspeak":{"default":"not-tilde"}},"key":"2241"},{"category":"Sm","mappings":{"default":{"default":"minus tilde"},"mathspeak":{"default":"minus-tilde"}},"key":"2242"},{"category":"Sm","mappings":{"default":{"default":"asymptotically equals"},"mathspeak":{"default":"asymptotically-equals"}},"key":"2243"},{"category":"Sm","mappings":{"default":{"default":"not asymptotically equals"},"mathspeak":{"default":"not-asymptotically-equals"}},"key":"2244"},{"category":"Sm","mappings":{"default":{"default":"approximately equals"},"mathspeak":{"default":"approximately-equals"}},"key":"2245"},{"category":"Sm","mappings":{"default":{"default":"approximately but not actually equals"},"mathspeak":{"default":"approximately-but-not-actually-equals"}},"key":"2246"},{"category":"Sm","mappings":{"default":{"default":"neither approximately nor actually equals"},"mathspeak":{"default":"neither-approximately-nor-actually-equals"}},"key":"2247"},{"category":"Sm","mappings":{"default":{"default":"almost equals"},"mathspeak":{"default":"almost-equals"}},"key":"2248"},{"category":"Sm","mappings":{"default":{"default":"not almost equals"},"mathspeak":{"default":"not-almost-equals"}},"key":"2249"},{"category":"Sm","mappings":{"default":{"default":"almost equal or equals"},"mathspeak":{"default":"almost-equal-or-equal-to"}},"key":"224A"},{"category":"Sm","mappings":{"default":{"default":"triple tilde"},"mathspeak":{"default":"triple-tilde"}},"key":"224B"},{"category":"Sm","mappings":{"default":{"default":"all equals"},"mathspeak":{"default":"all-equals"}},"key":"224C"},{"category":"Sm","mappings":{"default":{"default":"equivalent to"},"mathspeak":{"default":"equivalent-to"}},"key":"224D"},{"category":"Sm","mappings":{"default":{"default":"geometrically equivalent to"},"mathspeak":{"default":"geometrically-equivalent-to"}},"key":"224E"},{"category":"Sm","mappings":{"default":{"default":"difference between"},"mathspeak":{"default":"difference-between"}},"key":"224F"},{"category":"Sm","mappings":{"default":{"default":"approaches the limit"},"mathspeak":{"default":"approaches-the-limit"}},"key":"2250"},{"category":"Sm","mappings":{"default":{"default":"geometrically equals"},"mathspeak":{"default":"geometrically-equals"}},"key":"2251"},{"category":"Sm","mappings":{"default":{"default":"approximately equals or the image of"},"mathspeak":{"default":"approximately-equals-or-the-image-of"}},"key":"2252"},{"category":"Sm","mappings":{"default":{"default":"image of or approximately equals"},"mathspeak":{"default":"image-of-or-approximately-equals"}},"key":"2253"},{"category":"Sm","mappings":{"default":{"default":"colon equals","alternative":"colon equal"},"mathspeak":{"default":"colon-equal"}},"key":"2254"},{"category":"Sm","mappings":{"default":{"default":"equals colon","alternative":"equal colon"},"mathspeak":{"default":"equal-colon"}},"key":"2255"},{"category":"Sm","mappings":{"default":{"default":"ring in equals"},"mathspeak":{"default":"ring-in-equals"}},"key":"2256"},{"category":"Sm","mappings":{"default":{"default":"ring equals"},"mathspeak":{"default":"ring-equals"}},"key":"2257"},{"category":"Sm","mappings":{"default":{"default":"corresponds to"},"mathspeak":{"default":"corresponds-to"}},"key":"2258"},{"category":"Sm","mappings":{"default":{"default":"estimates"}},"key":"2259"},{"category":"Sm","mappings":{"default":{"default":"equiangular to"},"mathspeak":{"default":"equiangular-to"}},"key":"225A"},{"category":"Sm","mappings":{"default":{"default":"star equals"},"mathspeak":{"default":"star-equals"}},"key":"225B"},{"category":"Sm","mappings":{"default":{"default":"delta equals"},"mathspeak":{"default":"delta-equals"}},"key":"225C"},{"category":"Sm","mappings":{"default":{"default":"equals by definition"},"mathspeak":{"default":"equals-by-definition"}},"key":"225D"},{"category":"Sm","mappings":{"default":{"default":"measured by"},"mathspeak":{"default":"measured-by"}},"key":"225E"},{"category":"Sm","mappings":{"default":{"default":"questioned equals"},"mathspeak":{"default":"questioned-equals"}},"key":"225F"},{"category":"Sm","mappings":{"default":{"default":"not equals"},"mathspeak":{"default":"not-equals"}},"key":"2260"},{"category":"Sm","mappings":{"default":{"default":"identical to"},"mathspeak":{"default":"identical-to"}},"key":"2261"},{"category":"Sm","mappings":{"default":{"default":"not identical to"},"mathspeak":{"default":"not-identical-to"}},"key":"2262"},{"category":"Sm","mappings":{"default":{"default":"strictly equivalent to"},"mathspeak":{"default":"strictly-equivalent-to"}},"key":"2263"},{"category":"Sm","mappings":{"default":{"default":"less than or equals","alternative":"less than or equals"},"mathspeak":{"default":"less-than-or-equal-to"}},"key":"2264"},{"category":"Sm","mappings":{"default":{"default":"greater than or equals","alternative":"greater than or equals"},"mathspeak":{"default":"greater-than-or-equal-to"}},"key":"2265"},{"category":"Sm","mappings":{"default":{"default":"less than over equals","alternative":"less than over equals"},"mathspeak":{"default":"less-than-over-equals"}},"key":"2266"},{"category":"Sm","mappings":{"default":{"default":"greater than over equals","alternative":"greater than over equals"},"mathspeak":{"default":"greater-than-over-equals"}},"key":"2267"},{"category":"Sm","mappings":{"default":{"default":"less than but not equals","alternative":"less than but not equals"},"mathspeak":{"default":"less-than-but-not-equals"}},"key":"2268"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equals","alternative":"greater than but not equals"},"mathspeak":{"default":"greater-than-but-not-equals"}},"key":"2269"},{"category":"Sm","mappings":{"default":{"default":"much less than","alternative":"much less than"},"mathspeak":{"default":"much-less-than"}},"key":"226A"},{"category":"Sm","mappings":{"default":{"default":"much greater than","alternative":"much greater than"},"mathspeak":{"default":"much-greater-than"}},"key":"226B"},{"category":"Sm","mappings":{"default":{"default":"between"}},"key":"226C"},{"category":"Sm","mappings":{"default":{"default":"not equivalent to"},"mathspeak":{"default":"not-equivalent-to"}},"key":"226D"},{"category":"Sm","mappings":{"default":{"default":"not less than","alternative":"not less than"},"mathspeak":{"default":"not-less-than"}},"key":"226E"},{"category":"Sm","mappings":{"default":{"default":"not greater than","alternative":"not greater than"},"mathspeak":{"default":"not-greater-than"}},"key":"226F"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equals","alternative":"neither less than nor equals"},"mathspeak":{"default":"neither-less-than-nor-equal-to"}},"key":"2270"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equals","alternative":"neither greater than nor equals"},"mathspeak":{"default":"neither-greater-than-nor-equal-to"}},"key":"2271"},{"category":"Sm","mappings":{"default":{"default":"less than or equivalent to","alternative":"less than or equivalent to"},"mathspeak":{"default":"less-than-or-equivalent-to"}},"key":"2272"},{"category":"Sm","mappings":{"default":{"default":"greater than or equivalent to","alternative":"greater than or equivalent to"},"mathspeak":{"default":"greater-than-or-equivalent-to"}},"key":"2273"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equivalent to","alternative":"neither less than nor equivalent to"},"mathspeak":{"default":"neither-less-than-nor-equivalent-to"}},"key":"2274"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equivalent to","alternative":"neither greater than nor equivalent to"},"mathspeak":{"default":"neither-greater-than-nor-equivalent-to"}},"key":"2275"},{"category":"Sm","mappings":{"default":{"default":"less than or greater than","alternative":"less than or greater than"},"mathspeak":{"default":"less-than-or-greater-than"}},"key":"2276"},{"category":"Sm","mappings":{"default":{"default":"greater than or less than","alternative":"greater than or less than"},"mathspeak":{"default":"greater-than-or-less-than"}},"key":"2277"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor greater than","alternative":"neither less than nor greater than"},"mathspeak":{"default":"neither-less-than-nor-greater-than"}},"key":"2278"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor less than","alternative":"neither greater than nor less than"},"mathspeak":{"default":"neither-greater-than-nor-less-than"}},"key":"2279"},{"category":"Sm","mappings":{"default":{"default":"precedes"}},"key":"227A"},{"category":"Sm","mappings":{"default":{"default":"succeeds"}},"key":"227B"},{"category":"Sm","mappings":{"default":{"default":"precedes or equals"},"mathspeak":{"default":"precedes-or-equal-to"}},"key":"227C"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equals"},"mathspeak":{"default":"succeeds-or-equal-to"}},"key":"227D"},{"category":"Sm","mappings":{"default":{"default":"precedes or equivalent to"},"mathspeak":{"default":"precedes-or-equivalent-to"}},"key":"227E"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equivalent to"},"mathspeak":{"default":"succeeds-or-equivalent-to"}},"key":"227F"},{"category":"Sm","mappings":{"default":{"default":"does not precede"},"mathspeak":{"default":"does-not-precede"}},"key":"2280"},{"category":"Sm","mappings":{"default":{"default":"does not succeed"},"mathspeak":{"default":"does-not-succeed"}},"key":"2281"},{"category":"Sm","mappings":{"default":{"default":"subset of"},"mathspeak":{"default":"subset-of"}},"key":"2282"},{"category":"Sm","mappings":{"default":{"default":"superset of"},"mathspeak":{"default":"superset-of"}},"key":"2283"},{"category":"Sm","mappings":{"default":{"default":"not a subset of"},"mathspeak":{"default":"not-a-subset-of"}},"key":"2284"},{"category":"Sm","mappings":{"default":{"default":"not a superset of"},"mathspeak":{"default":"not-a-superset-of"}},"key":"2285"},{"category":"Sm","mappings":{"default":{"default":"subset of or equals"},"mathspeak":{"default":"subset-of-or-equal-to"}},"key":"2286"},{"category":"Sm","mappings":{"default":{"default":"superset of or equals"},"mathspeak":{"default":"superset-of-or-equal-to"}},"key":"2287"},{"category":"Sm","mappings":{"default":{"default":"neither a subset of nor equals"},"mathspeak":{"default":"neither-a-subset-of-nor-equal-to"}},"key":"2288"},{"category":"Sm","mappings":{"default":{"default":"neither a superset of nor equals"},"mathspeak":{"default":"neither-a-superset-of-nor-equal-to"}},"key":"2289"},{"category":"Sm","mappings":{"default":{"default":"subset of with not equals","alternative":"subset of or not equals","short":"subset of or not equals"},"mathspeak":{"default":"subset-of-or-not-equals"}},"key":"228A"},{"category":"Sm","mappings":{"default":{"default":"superset of with not equals","alternative":"superset of or not equals","short":"superset of or not equals"},"mathspeak":{"default":"superset-of-or-not-equals"}},"key":"228B"},{"category":"Sm","mappings":{"default":{"default":"multiset"}},"key":"228C"},{"category":"Sm","mappings":{"default":{"default":"multiset multiplication"},"mathspeak":{"default":"multiset-multiplication"}},"key":"228D"},{"category":"Sm","mappings":{"default":{"default":"multiset union"},"mathspeak":{"default":"multiset-union"}},"key":"228E"},{"category":"Sm","mappings":{"default":{"default":"square image of"},"mathspeak":{"default":"square-image-of"}},"key":"228F"},{"category":"Sm","mappings":{"default":{"default":"square original of"},"mathspeak":{"default":"square-original-of"}},"key":"2290"},{"category":"Sm","mappings":{"default":{"default":"square image of or equals"},"mathspeak":{"default":"square-image-of-or-equal-to"}},"key":"2291"},{"category":"Sm","mappings":{"default":{"default":"square original of or equals"},"mathspeak":{"default":"square-original-of-or-equal-to"}},"key":"2292"},{"category":"Sm","mappings":{"default":{"default":"square cap"},"mathspeak":{"default":"square-cap"}},"key":"2293"},{"category":"Sm","mappings":{"default":{"default":"square cup"},"mathspeak":{"default":"square-cup"}},"key":"2294"},{"category":"Sm","mappings":{"default":{"default":"circled plus"},"mathspeak":{"default":"circled-plus"}},"key":"2295"},{"category":"Sm","mappings":{"default":{"default":"circled minus"},"mathspeak":{"default":"circled-minus"}},"key":"2296"},{"category":"Sm","mappings":{"default":{"default":"circled times"},"mathspeak":{"default":"circled-times"}},"key":"2297"},{"category":"Sm","mappings":{"default":{"default":"circled division slash"},"mathspeak":{"default":"circled-division-slash"}},"key":"2298"},{"category":"Sm","mappings":{"default":{"default":"circled dot operator"},"mathspeak":{"default":"circled-dot"}},"key":"2299"},{"category":"Sm","mappings":{"default":{"default":"circled ring operator"},"mathspeak":{"default":"circled-ring"}},"key":"229A"},{"category":"Sm","mappings":{"default":{"default":"circled asterisk operator"},"mathspeak":{"default":"circled-asterisk"}},"key":"229B"},{"category":"Sm","mappings":{"default":{"default":"circled equals"},"mathspeak":{"default":"circled-equals"}},"key":"229C"},{"category":"Sm","mappings":{"default":{"default":"circled dash"},"mathspeak":{"default":"circled-dash"}},"key":"229D"},{"category":"Sm","mappings":{"default":{"default":"squared plus"},"mathspeak":{"default":"squared-plus"}},"key":"229E"},{"category":"Sm","mappings":{"default":{"default":"squared minus"},"mathspeak":{"default":"squared-minus"}},"key":"229F"},{"category":"Sm","mappings":{"default":{"default":"squared times"},"mathspeak":{"default":"squared-times"}},"key":"22A0"},{"category":"Sm","mappings":{"default":{"default":"squared dot operator"},"mathspeak":{"default":"squared-dot"}},"key":"22A1"},{"category":"Sm","mappings":{"default":{"default":"right tack"},"mathspeak":{"default":"right-tack"}},"key":"22A2"},{"category":"Sm","mappings":{"default":{"default":"left tack"},"mathspeak":{"default":"left-tack"}},"key":"22A3"},{"category":"Sm","mappings":{"default":{"default":"down tack"},"mathspeak":{"default":"down-tack"}},"key":"22A4"},{"category":"Sm","mappings":{"default":{"default":"up tack"},"mathspeak":{"default":"up-tack"}},"key":"22A5"},{"category":"Sm","mappings":{"default":{"default":"assertion"}},"key":"22A6"},{"category":"Sm","mappings":{"default":{"default":"models"}},"key":"22A7"},{"category":"Sm","mappings":{"default":{"default":"true"}},"key":"22A8"},{"category":"Sm","mappings":{"default":{"default":"forces"}},"key":"22A9"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar right turnstile"},"mathspeak":{"default":"triple-vertical-bar-right-turnstile"}},"key":"22AA"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double right turnstile"},"mathspeak":{"default":"double-vertical-bar-double-right-turnstile"}},"key":"22AB"},{"category":"Sm","mappings":{"default":{"default":"does not prove"},"mathspeak":{"default":"does-not-prove"}},"key":"22AC"},{"category":"Sm","mappings":{"default":{"default":"not true"},"mathspeak":{"default":"not-true"}},"key":"22AD"},{"category":"Sm","mappings":{"default":{"default":"does not force"},"mathspeak":{"default":"does-not-force"}},"key":"22AE"},{"category":"Sm","mappings":{"default":{"default":"negated double vertical bar double right turnstile"},"mathspeak":{"default":"negated-double-vertical-bar-double-right-turnstile"}},"key":"22AF"},{"category":"Sm","mappings":{"default":{"default":"precedes under relation"},"mathspeak":{"default":"precedes-under-relation"}},"key":"22B0"},{"category":"Sm","mappings":{"default":{"default":"succeeds under relation"},"mathspeak":{"default":"succeeds-under-relation"}},"key":"22B1"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of"},"mathspeak":{"default":"normal-subgroup-of"}},"key":"22B2"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup"},"mathspeak":{"default":"contains-as-normal-subgroup"}},"key":"22B3"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of or equals"},"mathspeak":{"default":"normal-subgroup-of-or-equal-to"}},"key":"22B4"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup or equals"},"mathspeak":{"default":"contains-as-normal-subgroup-or-equal-to"}},"key":"22B5"},{"category":"Sm","mappings":{"default":{"default":"original of"},"mathspeak":{"default":"original-of"}},"key":"22B6"},{"category":"Sm","mappings":{"default":{"default":"image of"},"mathspeak":{"default":"image-of"}},"key":"22B7"},{"category":"Sm","mappings":{"default":{"default":"multimap"}},"key":"22B8"},{"category":"Sm","mappings":{"default":{"default":"hermitian conjugate matrix"},"mathspeak":{"default":"hermitian-conjugate-matrix"}},"key":"22B9"},{"category":"Sm","mappings":{"default":{"default":"intercalate"}},"key":"22BA"},{"category":"Sm","mappings":{"default":{"default":"xor"}},"key":"22BB"},{"category":"Sm","mappings":{"default":{"default":"nand"}},"key":"22BC"},{"category":"Sm","mappings":{"default":{"default":"nor"}},"key":"22BD"},{"category":"Sm","mappings":{"default":{"default":"right triangle"},"mathspeak":{"default":"right-triangle"}},"key":"22BF"},{"category":"Sm","mappings":{"default":{"default":"n ary logical and"},"mathspeak":{"default":"logical-and"}},"key":"22C0"},{"category":"Sm","mappings":{"default":{"default":"n ary logical or"},"mathspeak":{"default":"logical-or"}},"key":"22C1"},{"category":"Sm","mappings":{"default":{"default":"n ary intersection"},"mathspeak":{"default":"intersection"}},"key":"22C2"},{"category":"Sm","mappings":{"default":{"default":"n ary union"},"mathspeak":{"default":"union"}},"key":"22C3"},{"category":"Sm","mappings":{"default":{"default":"diamond operator"},"mathspeak":{"default":"diamond"}},"key":"22C4"},{"category":"Sm","mappings":{"default":{"default":"dot operator"},"mathspeak":{"default":"dot"}},"key":"22C5"},{"category":"Sm","mappings":{"default":{"default":"star operator"},"mathspeak":{"default":"star"}},"key":"22C6"},{"category":"Sm","mappings":{"default":{"default":"division times"},"mathspeak":{"default":"division-times"}},"key":"22C7"},{"category":"Sm","mappings":{"default":{"default":"bowtie"}},"key":"22C8"},{"category":"Sm","mappings":{"default":{"default":"left normal factor semidirect product"},"mathspeak":{"default":"left-normal-factor-semidirect-product"}},"key":"22C9"},{"category":"Sm","mappings":{"default":{"default":"right normal factor semidirect product"},"mathspeak":{"default":"right-normal-factor-semidirect-product"}},"key":"22CA"},{"category":"Sm","mappings":{"default":{"default":"left semidirect product"},"mathspeak":{"default":"left-semidirect-product"}},"key":"22CB"},{"category":"Sm","mappings":{"default":{"default":"right semidirect product"},"mathspeak":{"default":"right-semidirect-product"}},"key":"22CC"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde equals"},"mathspeak":{"default":"reversed-tilde-equals"}},"key":"22CD"},{"category":"Sm","mappings":{"default":{"default":"curly logical or"},"mathspeak":{"default":"curly-logical-or"}},"key":"22CE"},{"category":"Sm","mappings":{"default":{"default":"curly logical and"},"mathspeak":{"default":"curly-logical-and"}},"key":"22CF"},{"category":"Sm","mappings":{"default":{"default":"double subset"},"mathspeak":{"default":"double-subset"}},"key":"22D0"},{"category":"Sm","mappings":{"default":{"default":"double superset"},"mathspeak":{"default":"double-superset"}},"key":"22D1"},{"category":"Sm","mappings":{"default":{"default":"double intersection"},"mathspeak":{"default":"double-intersection"}},"key":"22D2"},{"category":"Sm","mappings":{"default":{"default":"double union"},"mathspeak":{"default":"double-union"}},"key":"22D3"},{"category":"Sm","mappings":{"default":{"default":"pitchfork"}},"key":"22D4"},{"category":"Sm","mappings":{"default":{"default":"equal and parallel to"},"mathspeak":{"default":"equal-and-parallel-to"}},"key":"22D5"},{"category":"Sm","mappings":{"default":{"default":"less than with dot","alternative":"less than with dot","short":"less than dot"},"mathspeak":{"default":"less-than-dot"}},"key":"22D6"},{"category":"Sm","mappings":{"default":{"default":"greater than with dot","alternative":"greater than with dot","short":"greater than dot"},"mathspeak":{"default":"greater-than-dot"}},"key":"22D7"},{"category":"Sm","mappings":{"default":{"default":"very much less than","alternative":"very much less than"},"mathspeak":{"default":"very-much-less-than"}},"key":"22D8"},{"category":"Sm","mappings":{"default":{"default":"very much greater than","alternative":"very much greater than"},"mathspeak":{"default":"very-much-greater-than"}},"key":"22D9"},{"category":"Sm","mappings":{"default":{"default":"less than equals or greater than","alternative":"less than equals or greater than"},"mathspeak":{"default":"less-than-equals-or-greater-than"}},"key":"22DA"},{"category":"Sm","mappings":{"default":{"default":"greater than equals or less than","alternative":"greater than equals or less than"},"mathspeak":{"default":"greater-than-equals-or-less-than"}},"key":"22DB"},{"category":"Sm","mappings":{"default":{"default":"equals or less than","alternative":"equals or less than"},"mathspeak":{"default":"equals-or-less-than"}},"key":"22DC"},{"category":"Sm","mappings":{"default":{"default":"equals or greater than","alternative":"equals or greater than"},"mathspeak":{"default":"equals-or-greater-than"}},"key":"22DD"},{"category":"Sm","mappings":{"default":{"default":"equals or precedes"},"mathspeak":{"default":"equals-or-precedes"}},"key":"22DE"},{"category":"Sm","mappings":{"default":{"default":"equals or succeeds"},"mathspeak":{"default":"equals-or-succeeds"}},"key":"22DF"},{"category":"Sm","mappings":{"default":{"default":"does not precede or equal"},"mathspeak":{"default":"does-not-precede-or-equal"}},"key":"22E0"},{"category":"Sm","mappings":{"default":{"default":"does not succeed or equal"},"mathspeak":{"default":"does-not-succeed-or-equal"}},"key":"22E1"},{"category":"Sm","mappings":{"default":{"default":"not square image of or equals"},"mathspeak":{"default":"not-square-image-of-or-equal-to"}},"key":"22E2"},{"category":"Sm","mappings":{"default":{"default":"not square original of or equals"},"mathspeak":{"default":"not-square-original-of-or-equal-to"}},"key":"22E3"},{"category":"Sm","mappings":{"default":{"default":"square image of or not equals"},"mathspeak":{"default":"square-image-of-or-not-equals"}},"key":"22E4"},{"category":"Sm","mappings":{"default":{"default":"square original of or not equals"},"mathspeak":{"default":"square-original-of-or-not-equals"}},"key":"22E5"},{"category":"Sm","mappings":{"default":{"default":"less than but not equivalent to","alternative":"less than but not equivalent to"},"mathspeak":{"default":"less-than-but-not-equivalent-to"}},"key":"22E6"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equivalent to","alternative":"greater than but not equivalent to"},"mathspeak":{"default":"greater-than-but-not-equivalent-to"}},"key":"22E7"},{"category":"Sm","mappings":{"default":{"default":"precedes but not equivalent to"},"mathspeak":{"default":"precedes-but-not-equivalent-to"}},"key":"22E8"},{"category":"Sm","mappings":{"default":{"default":"succeeds but not equivalent to"},"mathspeak":{"default":"succeeds-but-not-equivalent-to"}},"key":"22E9"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of"},"mathspeak":{"default":"not-normal-subgroup-of"}},"key":"22EA"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup"},"mathspeak":{"default":"does-not-contain-as-normal-subgroup"}},"key":"22EB"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of or equals"},"mathspeak":{"default":"not-normal-subgroup-of-or-equal-to"}},"key":"22EC"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup or equal"},"mathspeak":{"default":"does-not-contain-as-normal-subgroup-or-equal"}},"key":"22ED"},{"category":"Sm","mappings":{"default":{"default":"vertical ellipsis"},"mathspeak":{"default":"vertical-ellipsis"}},"key":"22EE"},{"category":"Sm","mappings":{"default":{"default":"midline horizontal ellipsis"},"mathspeak":{"default":"midline-horizontal-ellipsis"}},"key":"22EF"},{"category":"Sm","mappings":{"default":{"default":"up right diagonal ellipsis"},"mathspeak":{"default":"up-right-diagonal-ellipsis"}},"key":"22F0"},{"category":"Sm","mappings":{"default":{"default":"down right diagonal ellipsis"},"mathspeak":{"default":"down-right-diagonal-ellipsis"}},"key":"22F1"},{"category":"Sm","mappings":{"default":{"default":"element of with long horizontal stroke"},"mathspeak":{"default":"element-of-with-long-horizontal-stroke"}},"key":"22F2"},{"category":"Sm","mappings":{"default":{"default":"element of with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"element-of-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22F3"},{"category":"Sm","mappings":{"default":{"default":"small element of with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"small-element-of-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22F4"},{"category":"Sm","mappings":{"default":{"default":"element of with dot above"},"mathspeak":{"default":"element-of-with-dot-above"}},"key":"22F5"},{"category":"Sm","mappings":{"default":{"default":"element of with overbar"},"mathspeak":{"default":"element-of-with-overbar"}},"key":"22F6"},{"category":"Sm","mappings":{"default":{"default":"small element of with overbar"},"mathspeak":{"default":"small-element-of-with-overbar"}},"key":"22F7"},{"category":"Sm","mappings":{"default":{"default":"element of with underbar"},"mathspeak":{"default":"element-of-with-underbar"}},"key":"22F8"},{"category":"Sm","mappings":{"default":{"default":"element of with two horizontal strokes"},"mathspeak":{"default":"element-of-with-two-horizontal-strokes"}},"key":"22F9"},{"category":"Sm","mappings":{"default":{"default":"contains with long horizontal stroke"},"mathspeak":{"default":"contains-with-long-horizontal-stroke"}},"key":"22FA"},{"category":"Sm","mappings":{"default":{"default":"contains with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"contains-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22FB"},{"category":"Sm","mappings":{"default":{"default":"small contains with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"small-contains-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22FC"},{"category":"Sm","mappings":{"default":{"default":"contains with overbar"},"mathspeak":{"default":"contains-with-overbar"}},"key":"22FD"},{"category":"Sm","mappings":{"default":{"default":"small contains with overbar"},"mathspeak":{"default":"small-contains-with-overbar"}},"key":"22FE"},{"category":"Sm","mappings":{"default":{"default":"z notation bag membership"},"mathspeak":{"default":"z-notation-bag-membership"}},"key":"22FF"},{"category":"So","mappings":{"default":{"default":"diameter sign","short":"diameter"},"mathspeak":{"default":"diameter-sign"}},"key":"2300"},{"category":"So","mappings":{"default":{"default":"house"}},"key":"2302"},{"category":"So","mappings":{"default":{"default":"projective"}},"key":"2305"},{"category":"So","mappings":{"default":{"default":"perspective"}},"key":"2306"},{"category":"So","mappings":{"default":{"default":"wavy line"},"mathspeak":{"default":"wavy-line"}},"key":"2307"},{"category":"So","mappings":{"default":{"default":"reversed not sign","short":"reversed not"},"mathspeak":{"default":"reversed-not"}},"key":"2310"},{"category":"So","mappings":{"default":{"default":"square lozenge"},"mathspeak":{"default":"square-lozenge"}},"key":"2311"},{"category":"So","mappings":{"default":{"default":"arc"}},"key":"2312"},{"category":"So","mappings":{"default":{"default":"segment"}},"key":"2313"},{"category":"So","mappings":{"default":{"default":"sector"}},"key":"2314"},{"category":"So","mappings":{"default":{"default":"heavy plus sign","alternative":"heavy plus","short":"bold plus"},"mathspeak":{"default":"bold-plus"}},"key":"2795"},{"category":"So","mappings":{"default":{"default":"heavy minus sign","alternative":"heavy minus","short":"bold minus"},"mathspeak":{"default":"bold-minus"}},"key":"2796"},{"category":"So","mappings":{"default":{"default":"heavy division sign","alternative":"heavy division","short":"bold division"},"mathspeak":{"default":"bold-division"}},"key":"2797"},{"category":"So","mappings":{"default":{"default":"curly loop"},"mathspeak":{"default":"curly-loop"}},"key":"27B0"},{"category":"So","mappings":{"default":{"default":"double curly loop"},"mathspeak":{"default":"double-curly-loop"}},"key":"27BF"},{"category":"Sm","mappings":{"default":{"default":"white triangle containing small white triangle"},"mathspeak":{"default":"white-triangle-containing-small-white-triangle"}},"key":"27C1"},{"category":"Sm","mappings":{"default":{"default":"perpendicular"}},"key":"27C2"},{"category":"Sm","mappings":{"default":{"default":"open subset"},"mathspeak":{"default":"open-subset"}},"key":"27C3"},{"category":"Sm","mappings":{"default":{"default":"open superset"},"mathspeak":{"default":"open-superset"}},"key":"27C4"},{"category":"Sm","mappings":{"default":{"default":"or with dot inside"},"mathspeak":{"default":"or-with-dot-inside"}},"key":"27C7"},{"category":"Sm","mappings":{"default":{"default":"reverse solidus preceding subset"},"mathspeak":{"default":"reverse-solidus-preceding-subset"}},"key":"27C8"},{"category":"Sm","mappings":{"default":{"default":"superset preceding solidus"},"mathspeak":{"default":"superset-preceding-solidus"}},"key":"27C9"},{"category":"Sm","mappings":{"default":{"default":"vertical bar with horizontal stroke"},"mathspeak":{"default":"vertical-bar-with-horizontal-stroke"}},"key":"27CA"},{"category":"Sm","mappings":{"default":{"default":"mathematical rising diagonal"},"mathspeak":{"default":"mathematical-rising-diagonal"}},"key":"27CB"},{"category":"Sm","mappings":{"default":{"default":"long division"},"mathspeak":{"default":"long-division"}},"key":"27CC"},{"category":"Sm","mappings":{"default":{"default":"mathematical falling diagonal"},"mathspeak":{"default":"mathematical-falling-diagonal"}},"key":"27CD"},{"category":"Sm","mappings":{"default":{"default":"squared logical and"},"mathspeak":{"default":"squared-logical-and"}},"key":"27CE"},{"category":"Sm","mappings":{"default":{"default":"squared logical or"},"mathspeak":{"default":"squared-logical-or"}},"key":"27CF"},{"category":"Sm","mappings":{"default":{"default":"white diamond with centered dot"},"mathspeak":{"default":"white-diamond-with-centered-dot"}},"key":"27D0"},{"category":"Sm","mappings":{"default":{"default":"and with dot"},"mathspeak":{"default":"and-with-dot"}},"key":"27D1"},{"category":"Sm","mappings":{"default":{"default":"element of opening upwards"},"mathspeak":{"default":"element-of-opening-upwards"}},"key":"27D2"},{"category":"Sm","mappings":{"default":{"default":"lower right corner with dot"},"mathspeak":{"default":"lower-right-corner-with-dot"}},"key":"27D3"},{"category":"Sm","mappings":{"default":{"default":"upper left corner with dot"},"mathspeak":{"default":"upper-left-corner-with-dot"}},"key":"27D4"},{"category":"Sm","mappings":{"default":{"default":"left outer join"},"mathspeak":{"default":"left-outer-join"}},"key":"27D5"},{"category":"Sm","mappings":{"default":{"default":"right outer join"},"mathspeak":{"default":"right-outer-join"}},"key":"27D6"},{"category":"Sm","mappings":{"default":{"default":"full outer join"},"mathspeak":{"default":"full-outer-join"}},"key":"27D7"},{"category":"Sm","mappings":{"default":{"default":"large up tack"},"mathspeak":{"default":"large-up-tack"}},"key":"27D8"},{"category":"Sm","mappings":{"default":{"default":"large down tack"},"mathspeak":{"default":"large-down-tack"}},"key":"27D9"},{"category":"Sm","mappings":{"default":{"default":"left and right double turnstile"},"mathspeak":{"default":"left-and-right-double-turnstile"}},"key":"27DA"},{"category":"Sm","mappings":{"default":{"default":"left and right tack"},"mathspeak":{"default":"left-and-right-tack"}},"key":"27DB"},{"category":"Sm","mappings":{"default":{"default":"left multimap"},"mathspeak":{"default":"left-multimap"}},"key":"27DC"},{"category":"Sm","mappings":{"default":{"default":"long right tack"},"mathspeak":{"default":"long-right-tack"}},"key":"27DD"},{"category":"Sm","mappings":{"default":{"default":"long left tack"},"mathspeak":{"default":"long-left-tack"}},"key":"27DE"},{"category":"Sm","mappings":{"default":{"default":"up tack with circle above"},"mathspeak":{"default":"up-tack-with-circle-above"}},"key":"27DF"},{"category":"Sm","mappings":{"default":{"default":"lozenge divided by horizontal rule"},"mathspeak":{"default":"lozenge-divided-by-horizontal-rule"}},"key":"27E0"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond"},"mathspeak":{"default":"white-concave-sided-diamond"}},"key":"27E1"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with leftwards tick"},"mathspeak":{"default":"white-concave-sided-diamond-with-leftwards-tick"}},"key":"27E2"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with rightwards tick"},"mathspeak":{"default":"white-concave-sided-diamond-with-rightwards-tick"}},"key":"27E3"},{"category":"Sm","mappings":{"default":{"default":"white square with leftwards tick"},"mathspeak":{"default":"white-square-with-leftwards-tick"}},"key":"27E4"},{"category":"Sm","mappings":{"default":{"default":"white square with rightwards tick"},"mathspeak":{"default":"white-square-with-rightwards-tick"}},"key":"27E5"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing falling diagonal"},"mathspeak":{"default":"rising-diagonal-crossing-falling-diagonal"}},"key":"292B"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing rising diagonal"},"mathspeak":{"default":"falling-diagonal-crossing-rising-diagonal"}},"key":"292C"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar delimiter"},"mathspeak":{"default":"triple-vertical-bar-delimiter"}},"key":"2980"},{"category":"Sm","mappings":{"default":{"default":"z notation spot"},"mathspeak":{"default":"z-notation-spot"}},"key":"2981"},{"category":"Sm","mappings":{"default":{"default":"z notation type colon"},"mathspeak":{"default":"z-notation-type-colon"}},"key":"2982"},{"category":"Sm","mappings":{"default":{"default":"dotted fence"},"mathspeak":{"default":"dotted-fence"}},"key":"2999"},{"category":"Sm","mappings":{"default":{"default":"vertical zigzag line"},"mathspeak":{"default":"vertical-zigzag-line"}},"key":"299A"},{"category":"Sm","mappings":{"default":{"default":"reversed empty set"},"mathspeak":{"default":"reversed-empty-set"}},"key":"29B0"},{"category":"Sm","mappings":{"default":{"default":"empty set with overbar"},"mathspeak":{"default":"empty-set-with-overbar"}},"key":"29B1"},{"category":"Sm","mappings":{"default":{"default":"empty set with small circle above"},"mathspeak":{"default":"empty-set-with-small-circle-above"}},"key":"29B2"},{"category":"Sm","mappings":{"default":{"default":"circle with horizontal bar"},"mathspeak":{"default":"circle-with-horizontal-bar"}},"key":"29B5"},{"category":"Sm","mappings":{"default":{"default":"circled vertical bar"},"mathspeak":{"default":"circled-vertical-bar"}},"key":"29B6"},{"category":"Sm","mappings":{"default":{"default":"circled parallel"},"mathspeak":{"default":"circled-parallel"}},"key":"29B7"},{"category":"Sm","mappings":{"default":{"default":"circled reverse solidus"},"mathspeak":{"default":"circled-reverse-solidus"}},"key":"29B8"},{"category":"Sm","mappings":{"default":{"default":"circled perpendicular"},"mathspeak":{"default":"circled-perpendicular"}},"key":"29B9"},{"category":"Sm","mappings":{"default":{"default":"circle divided by horizontal bar and top half divided by vertical bar"},"mathspeak":{"default":"circle-divided-by-horizontal-bar-and-top-half-divided-by-vertical-bar"}},"key":"29BA"},{"category":"Sm","mappings":{"default":{"default":"circle with superimposed x"},"mathspeak":{"default":"circle-with-superimposed-x"}},"key":"29BB"},{"category":"Sm","mappings":{"default":{"default":"circled anticlockwise rotated division sign","short":"circled anticlockwise rotated division"},"mathspeak":{"default":"circled-anticlockwise-rotated-division"}},"key":"29BC"},{"category":"Sm","mappings":{"default":{"default":"circled white bullet"},"mathspeak":{"default":"circled-white-bullet"}},"key":"29BE"},{"category":"Sm","mappings":{"default":{"default":"circled bullet"},"mathspeak":{"default":"circled-bullet"}},"key":"29BF"},{"category":"Sm","mappings":{"default":{"default":"circled less than"},"mathspeak":{"default":"circled-less-than"}},"key":"29C0"},{"category":"Sm","mappings":{"default":{"default":"circled greater than"},"mathspeak":{"default":"circled-greater-than"}},"key":"29C1"},{"category":"Sm","mappings":{"default":{"default":"circle with small circle to the right"},"mathspeak":{"default":"circle-with-small-circle-to-the-right"}},"key":"29C2"},{"category":"Sm","mappings":{"default":{"default":"circle with two horizontal strokes to the right"},"mathspeak":{"default":"circle-with-two-horizontal-strokes-to-the-right"}},"key":"29C3"},{"category":"Sm","mappings":{"default":{"default":"squared rising diagonal slash"},"mathspeak":{"default":"squared-rising-diagonal-slash"}},"key":"29C4"},{"category":"Sm","mappings":{"default":{"default":"squared falling diagonal slash"},"mathspeak":{"default":"squared-falling-diagonal-slash"}},"key":"29C5"},{"category":"Sm","mappings":{"default":{"default":"squared asterisk"},"mathspeak":{"default":"squared-asterisk"}},"key":"29C6"},{"category":"Sm","mappings":{"default":{"default":"squared small circle"},"mathspeak":{"default":"squared-small-circle"}},"key":"29C7"},{"category":"Sm","mappings":{"default":{"default":"squared square"},"mathspeak":{"default":"squared-square"}},"key":"29C8"},{"category":"Sm","mappings":{"default":{"default":"two joined squares"},"mathspeak":{"default":"two-joined-squares"}},"key":"29C9"},{"category":"Sm","mappings":{"default":{"default":"triangle with dot above"},"mathspeak":{"default":"triangle-with-dot-above"}},"key":"29CA"},{"category":"Sm","mappings":{"default":{"default":"triangle with underbar"},"mathspeak":{"default":"triangle-with-underbar"}},"key":"29CB"},{"category":"Sm","mappings":{"default":{"default":"s in triangle"},"mathspeak":{"default":"s-in-triangle"}},"key":"29CC"},{"category":"Sm","mappings":{"default":{"default":"triangle with serifs at bottom"},"mathspeak":{"default":"triangle-with-serifs-at-bottom"}},"key":"29CD"},{"category":"Sm","mappings":{"default":{"default":"right triangle above left triangle"},"mathspeak":{"default":"right-triangle-above-left-triangle"}},"key":"29CE"},{"category":"Sm","mappings":{"default":{"default":"left triangle beside vertical bar"},"mathspeak":{"default":"left-triangle-beside-vertical-bar"}},"key":"29CF"},{"category":"Sm","mappings":{"default":{"default":"vertical bar beside right triangle"},"mathspeak":{"default":"vertical-bar-beside-right-triangle"}},"key":"29D0"},{"category":"Sm","mappings":{"default":{"default":"bowtie with left half black"},"mathspeak":{"default":"bowtie-with-left-half-black"}},"key":"29D1"},{"category":"Sm","mappings":{"default":{"default":"bowtie with right half black"},"mathspeak":{"default":"bowtie-with-right-half-black"}},"key":"29D2"},{"category":"Sm","mappings":{"default":{"default":"black bowtie"},"mathspeak":{"default":"black-bowtie"}},"key":"29D3"},{"category":"Sm","mappings":{"default":{"default":"times with left half black"},"mathspeak":{"default":"times-with-left-half-black"}},"key":"29D4"},{"category":"Sm","mappings":{"default":{"default":"times with right half black"},"mathspeak":{"default":"times-with-right-half-black"}},"key":"29D5"},{"category":"Sm","mappings":{"default":{"default":"white hourglass"},"mathspeak":{"default":"white-hourglass"}},"key":"29D6"},{"category":"Sm","mappings":{"default":{"default":"black hourglass"},"mathspeak":{"default":"black-hourglass"}},"key":"29D7"},{"category":"Sm","mappings":{"default":{"default":"incomplete infinity"},"mathspeak":{"default":"incomplete-infinity"}},"key":"29DC"},{"category":"Sm","mappings":{"default":{"default":"tie over infinity"},"mathspeak":{"default":"tie-over-infinity"}},"key":"29DD"},{"category":"Sm","mappings":{"default":{"default":"infinity negated with vertical bar"},"mathspeak":{"default":"infinity-negated-with-vertical-bar"}},"key":"29DE"},{"category":"Sm","mappings":{"default":{"default":"double ended multimap"},"mathspeak":{"default":"double-ended-multimap"}},"key":"29DF"},{"category":"Sm","mappings":{"default":{"default":"square with contoured outline"},"mathspeak":{"default":"square-with-contoured-outline"}},"key":"29E0"},{"category":"Sm","mappings":{"default":{"default":"increases as"},"mathspeak":{"default":"increases-as"}},"key":"29E1"},{"category":"Sm","mappings":{"default":{"default":"shuffle product"},"mathspeak":{"default":"shuffle-product"}},"key":"29E2"},{"category":"Sm","mappings":{"default":{"default":"equals sign and slanted parallel"},"mathspeak":{"default":"equals-and-slanted-parallel"}},"key":"29E3"},{"category":"Sm","mappings":{"default":{"default":"equals sign and slanted parallel with tilde above"},"mathspeak":{"default":"equals-and-slanted-parallel-with-tilde-above"}},"key":"29E4"},{"category":"Sm","mappings":{"default":{"default":"identical to and slanted parallel"},"mathspeak":{"default":"identical-to-and-slanted-parallel"}},"key":"29E5"},{"category":"Sm","mappings":{"default":{"default":"gleich stark"},"mathspeak":{"default":"gleich-stark"}},"key":"29E6"},{"category":"Sm","mappings":{"default":{"default":"thermodynamic"}},"key":"29E7"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with left half black"},"mathspeak":{"default":"down-pointing-triangle-with-left-half-black"}},"key":"29E8"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with right half black"},"mathspeak":{"default":"down-pointing-triangle-with-right-half-black"}},"key":"29E9"},{"category":"Sm","mappings":{"default":{"default":"black lozenge"},"mathspeak":{"default":"black-lozenge"}},"key":"29EB"},{"category":"Sm","mappings":{"default":{"default":"error barred white square"},"mathspeak":{"default":"error-barred-white-square"}},"key":"29EE"},{"category":"Sm","mappings":{"default":{"default":"error barred black square"},"mathspeak":{"default":"error-barred-black-square"}},"key":"29EF"},{"category":"Sm","mappings":{"default":{"default":"error barred white diamond"},"mathspeak":{"default":"error-barred-white-diamond"}},"key":"29F0"},{"category":"Sm","mappings":{"default":{"default":"error barred black diamond"},"mathspeak":{"default":"error-barred-black-diamond"}},"key":"29F1"},{"category":"Sm","mappings":{"default":{"default":"error barred white circle"},"mathspeak":{"default":"error-barred-white-circle"}},"key":"29F2"},{"category":"Sm","mappings":{"default":{"default":"error barred black circle"},"mathspeak":{"default":"error-barred-black-circle"}},"key":"29F3"},{"category":"Sm","mappings":{"default":{"default":"rule delayed"},"mathspeak":{"default":"rule-delayed"}},"key":"29F4"},{"category":"Sm","mappings":{"default":{"default":"reverse solidus operator"},"mathspeak":{"default":"reverse-solidus"}},"key":"29F5"},{"category":"Sm","mappings":{"default":{"default":"solidus with overbar"},"mathspeak":{"default":"solidus-with-overbar"}},"key":"29F6"},{"category":"Sm","mappings":{"default":{"default":"reverse solidus with horizontal stroke"},"mathspeak":{"default":"reverse-solidus-with-horizontal-stroke"}},"key":"29F7"},{"category":"Sm","mappings":{"default":{"default":"big solidus"},"mathspeak":{"default":"solidus"}},"key":"29F8"},{"category":"Sm","mappings":{"default":{"default":"big reverse solidus"},"mathspeak":{"default":"reverse-solidus"}},"key":"29F9"},{"category":"Sm","mappings":{"default":{"default":"double plus"},"mathspeak":{"default":"double-plus"}},"key":"29FA"},{"category":"Sm","mappings":{"default":{"default":"triple plus"},"mathspeak":{"default":"triple-plus"}},"key":"29FB"},{"category":"Sm","mappings":{"default":{"default":"tiny"}},"key":"29FE"},{"category":"Sm","mappings":{"default":{"default":"miny"}},"key":"29FF"},{"category":"Sm","mappings":{"default":{"default":"n ary circled dot operator"},"mathspeak":{"default":"circled-dot"}},"key":"2A00"},{"category":"Sm","mappings":{"default":{"default":"n ary circled plus operator"},"mathspeak":{"default":"circled-plus"}},"key":"2A01"},{"category":"Sm","mappings":{"default":{"default":"n ary circled times operator"},"mathspeak":{"default":"circled-times"}},"key":"2A02"},{"category":"Sm","mappings":{"default":{"default":"n ary union operator with dot"},"mathspeak":{"default":"union-with-dot"}},"key":"2A03"},{"category":"Sm","mappings":{"default":{"default":"n ary union operator with plus"},"mathspeak":{"default":"union-with-plus"}},"key":"2A04"},{"category":"Sm","mappings":{"default":{"default":"n ary square intersection operator"},"mathspeak":{"default":"square-intersection"}},"key":"2A05"},{"category":"Sm","mappings":{"default":{"default":"n ary square union operator"},"mathspeak":{"default":"square-union"}},"key":"2A06"},{"category":"Sm","mappings":{"default":{"default":"two logical and operator"},"mathspeak":{"default":"two-logical-and"}},"key":"2A07"},{"category":"Sm","mappings":{"default":{"default":"two logical or operator"},"mathspeak":{"default":"two-logical-or"}},"key":"2A08"},{"category":"Sm","mappings":{"default":{"default":"n ary times operator"},"mathspeak":{"default":"times"}},"key":"2A09"},{"category":"Sm","mappings":{"default":{"default":"modulo two sum"},"mathspeak":{"default":"modulo-two-sum"}},"key":"2A0A"},{"category":"Sm","mappings":{"default":{"default":"summation with integral"},"mathspeak":{"default":"summation-with-integral"}},"key":"2A0B"},{"category":"Sm","mappings":{"default":{"default":"quadruple integral operator"},"mathspeak":{"default":"quadruple-integral"}},"key":"2A0C"},{"category":"Sm","mappings":{"default":{"default":"finite part integral"},"mathspeak":{"default":"finite-part-integral"}},"key":"2A0D"},{"category":"Sm","mappings":{"default":{"default":"integral with double stroke"},"mathspeak":{"default":"integral-with-double-stroke"}},"key":"2A0E"},{"category":"Sm","mappings":{"default":{"default":"integral average with slash"},"mathspeak":{"default":"integral-average-with-slash"}},"key":"2A0F"},{"category":"Sm","mappings":{"default":{"default":"circulation function"},"mathspeak":{"default":"circulation-function"}},"key":"2A10"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise integration"},"mathspeak":{"default":"anticlockwise-integration"}},"key":"2A11"},{"category":"Sm","mappings":{"default":{"default":"line integration with rectangular path around pole"},"mathspeak":{"default":"line-integration-with-rectangular-path-around-pole"}},"key":"2A12"},{"category":"Sm","mappings":{"default":{"default":"line integration with semicircular path around pole"},"mathspeak":{"default":"line-integration-with-semicircular-path-around-pole"}},"key":"2A13"},{"category":"Sm","mappings":{"default":{"default":"line integration not including the pole"},"mathspeak":{"default":"line-integration-not-including-the-pole"}},"key":"2A14"},{"category":"Sm","mappings":{"default":{"default":"integral around a point operator"},"mathspeak":{"default":"integral-around-a-point"}},"key":"2A15"},{"category":"Sm","mappings":{"default":{"default":"quaternion integral operator"},"mathspeak":{"default":"quaternion-integral"}},"key":"2A16"},{"category":"Sm","mappings":{"default":{"default":"integral with times sign","short":"integral with times"},"mathspeak":{"default":"integral-with-times"}},"key":"2A18"},{"category":"Sm","mappings":{"default":{"default":"integral with intersection"},"mathspeak":{"default":"integral-with-intersection"}},"key":"2A19"},{"category":"Sm","mappings":{"default":{"default":"integral with union"},"mathspeak":{"default":"integral-with-union"}},"key":"2A1A"},{"category":"Sm","mappings":{"default":{"default":"integral with overbar"},"mathspeak":{"default":"integral-with-overbar"}},"key":"2A1B"},{"category":"Sm","mappings":{"default":{"default":"integral with underbar"},"mathspeak":{"default":"integral-with-underbar"}},"key":"2A1C"},{"category":"Sm","mappings":{"default":{"default":"join"}},"key":"2A1D"},{"category":"Sm","mappings":{"default":{"default":"large left triangle operator"},"mathspeak":{"default":"large-left-triangle"}},"key":"2A1E"},{"category":"Sm","mappings":{"default":{"default":"z notation schema composition"},"mathspeak":{"default":"z-notation-schema-composition"}},"key":"2A1F"},{"category":"Sm","mappings":{"default":{"default":"z notation schema piping"},"mathspeak":{"default":"z-notation-schema-piping"}},"key":"2A20"},{"category":"Sm","mappings":{"default":{"default":"z notation schema projection"},"mathspeak":{"default":"z-notation-schema-projection"}},"key":"2A21"},{"category":"Sm","mappings":{"default":{"default":"plus sign with small circle above","short":"plus with circle above"},"mathspeak":{"default":"plus-with-circle-above"}},"key":"2A22"},{"category":"Sm","mappings":{"default":{"default":"plus sign with circumflex accent above","short":"plus hat"},"mathspeak":{"default":"plus-hat"}},"key":"2A23"},{"category":"Sm","mappings":{"default":{"default":"plus sign with tilde above","short":"plus tilde"},"mathspeak":{"default":"plus-tilde"}},"key":"2A24"},{"category":"Sm","mappings":{"default":{"default":"plus sign with dot below","short":"plus underdot"},"mathspeak":{"default":"plus-underdot"}},"key":"2A25"},{"category":"Sm","mappings":{"default":{"default":"plus sign with tilde below"},"mathspeak":{"default":"plus-sign-with-tilde-below"}},"key":"2A26"},{"category":"Sm","mappings":{"default":{"default":"plus sign with subscript two"},"mathspeak":{"default":"plus-sign-with-subscript-two"}},"key":"2A27"},{"category":"Sm","mappings":{"default":{"default":"plus sign with black triangle"},"mathspeak":{"default":"plus-sign-with-black-triangle"}},"key":"2A28"},{"category":"Sm","mappings":{"default":{"default":"minus sign with comma above"},"mathspeak":{"default":"minus-sign-with-comma-above"}},"key":"2A29"},{"category":"Sm","mappings":{"default":{"default":"minus sign with dot below"},"mathspeak":{"default":"minus-sign-with-dot-below"}},"key":"2A2A"},{"category":"Sm","mappings":{"default":{"default":"minus sign with falling dots"},"mathspeak":{"default":"minus-sign-with-falling-dots"}},"key":"2A2B"},{"category":"Sm","mappings":{"default":{"default":"minus sign with rising dots"},"mathspeak":{"default":"minus-sign-with-rising-dots"}},"key":"2A2C"},{"category":"Sm","mappings":{"default":{"default":"plus sign in left half circle"},"mathspeak":{"default":"plus-sign-in-left-half-circle"}},"key":"2A2D"},{"category":"Sm","mappings":{"default":{"default":"plus sign in right half circle"},"mathspeak":{"default":"plus-sign-in-right-half-circle"}},"key":"2A2E"},{"category":"Sm","mappings":{"default":{"default":"vector or cross product"},"mathspeak":{"default":"vector-or-cross-product"}},"key":"2A2F"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with dot above"},"mathspeak":{"default":"multiplication-sign-with-dot-above"}},"key":"2A30"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with underbar"},"mathspeak":{"default":"multiplication-sign-with-underbar"}},"key":"2A31"},{"category":"Sm","mappings":{"default":{"default":"semidirect product with bottom closed"},"mathspeak":{"default":"semidirect-product-with-bottom-closed"}},"key":"2A32"},{"category":"Sm","mappings":{"default":{"default":"smash product"},"mathspeak":{"default":"smash-product"}},"key":"2A33"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in left half circle"},"mathspeak":{"default":"multiplication-sign-in-left-half-circle"}},"key":"2A34"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in right half circle"},"mathspeak":{"default":"multiplication-sign-in-right-half-circle"}},"key":"2A35"},{"category":"Sm","mappings":{"default":{"default":"circled multiplication sign with circumflex accent"},"mathspeak":{"default":"circled-multiplication-sign-with-circumflex-accent"}},"key":"2A36"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in double circle"},"mathspeak":{"default":"multiplication-sign-in-double-circle"}},"key":"2A37"},{"category":"Sm","mappings":{"default":{"default":"circled division sign","short":"circled division"},"mathspeak":{"default":"circled-division"}},"key":"2A38"},{"category":"Sm","mappings":{"default":{"default":"plus sign in triangle"},"mathspeak":{"default":"plus-sign-in-triangle"}},"key":"2A39"},{"category":"Sm","mappings":{"default":{"default":"minus sign in triangle"},"mathspeak":{"default":"minus-sign-in-triangle"}},"key":"2A3A"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in triangle"},"mathspeak":{"default":"multiplication-sign-in-triangle"}},"key":"2A3B"},{"category":"Sm","mappings":{"default":{"default":"interior product"},"mathspeak":{"default":"interior-product"}},"key":"2A3C"},{"category":"Sm","mappings":{"default":{"default":"righthand interior product"},"mathspeak":{"default":"righthand-interior-product"}},"key":"2A3D"},{"category":"Sm","mappings":{"default":{"default":"z notation relational composition"},"mathspeak":{"default":"z-notation-relational-composition"}},"key":"2A3E"},{"category":"Sm","mappings":{"default":{"default":"amalgamation or coproduct"},"mathspeak":{"default":"amalgamation-or-coproduct"}},"key":"2A3F"},{"category":"Sm","mappings":{"default":{"default":"intersection with dot"},"mathspeak":{"default":"intersection-with-dot"}},"key":"2A40"},{"category":"Sm","mappings":{"default":{"default":"union with minus sign","short":"union with minus"},"mathspeak":{"default":"union-with-minus"}},"key":"2A41"},{"category":"Sm","mappings":{"default":{"default":"union with overbar"},"mathspeak":{"default":"union-with-overbar"}},"key":"2A42"},{"category":"Sm","mappings":{"default":{"default":"intersection with overbar"},"mathspeak":{"default":"intersection-with-overbar"}},"key":"2A43"},{"category":"Sm","mappings":{"default":{"default":"intersection with logical and"},"mathspeak":{"default":"intersection-with-logical-and"}},"key":"2A44"},{"category":"Sm","mappings":{"default":{"default":"union with logical or"},"mathspeak":{"default":"union-with-logical-or"}},"key":"2A45"},{"category":"Sm","mappings":{"default":{"default":"union above intersection"},"mathspeak":{"default":"union-above-intersection"}},"key":"2A46"},{"category":"Sm","mappings":{"default":{"default":"intersection above union"},"mathspeak":{"default":"intersection-above-union"}},"key":"2A47"},{"category":"Sm","mappings":{"default":{"default":"union above bar above intersection"},"mathspeak":{"default":"union-above-bar-above-intersection"}},"key":"2A48"},{"category":"Sm","mappings":{"default":{"default":"intersection above bar above union"},"mathspeak":{"default":"intersection-above-bar-above-union"}},"key":"2A49"},{"category":"Sm","mappings":{"default":{"default":"union beside and joined with union"},"mathspeak":{"default":"union-beside-and-joined-with-union"}},"key":"2A4A"},{"category":"Sm","mappings":{"default":{"default":"intersection beside and joined with intersection"},"mathspeak":{"default":"intersection-beside-and-joined-with-intersection"}},"key":"2A4B"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs"},"mathspeak":{"default":"closed-union-with-serifs"}},"key":"2A4C"},{"category":"Sm","mappings":{"default":{"default":"closed intersection with serifs"},"mathspeak":{"default":"closed-intersection-with-serifs"}},"key":"2A4D"},{"category":"Sm","mappings":{"default":{"default":"double square intersection"},"mathspeak":{"default":"double-square-intersection"}},"key":"2A4E"},{"category":"Sm","mappings":{"default":{"default":"double square union"},"mathspeak":{"default":"double-square-union"}},"key":"2A4F"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs and smash product"},"mathspeak":{"default":"closed-union-with-serifs-and-smash-product"}},"key":"2A50"},{"category":"Sm","mappings":{"default":{"default":"logical and with dot above"},"mathspeak":{"default":"logical-and-with-dot-above"}},"key":"2A51"},{"category":"Sm","mappings":{"default":{"default":"logical or with dot above"},"mathspeak":{"default":"logical-or-with-dot-above"}},"key":"2A52"},{"category":"Sm","mappings":{"default":{"default":"double logical and"},"mathspeak":{"default":"double-logical-and"}},"key":"2A53"},{"category":"Sm","mappings":{"default":{"default":"double logical or"},"mathspeak":{"default":"double-logical-or"}},"key":"2A54"},{"category":"Sm","mappings":{"default":{"default":"two intersecting logical and"},"mathspeak":{"default":"two-intersecting-logical-and"}},"key":"2A55"},{"category":"Sm","mappings":{"default":{"default":"two intersecting logical or"},"mathspeak":{"default":"two-intersecting-logical-or"}},"key":"2A56"},{"category":"Sm","mappings":{"default":{"default":"sloping large or"},"mathspeak":{"default":"sloping-large-or"}},"key":"2A57"},{"category":"Sm","mappings":{"default":{"default":"sloping large and"},"mathspeak":{"default":"sloping-large-and"}},"key":"2A58"},{"category":"Sm","mappings":{"default":{"default":"logical or overlapping logical and"},"mathspeak":{"default":"logical-or-overlapping-logical-and"}},"key":"2A59"},{"category":"Sm","mappings":{"default":{"default":"logical and with middle stem"},"mathspeak":{"default":"logical-and-with-middle-stem"}},"key":"2A5A"},{"category":"Sm","mappings":{"default":{"default":"logical or with middle stem"},"mathspeak":{"default":"logical-or-with-middle-stem"}},"key":"2A5B"},{"category":"Sm","mappings":{"default":{"default":"logical and with horizontal dash"},"mathspeak":{"default":"logical-and-with-horizontal-dash"}},"key":"2A5C"},{"category":"Sm","mappings":{"default":{"default":"logical or with horizontal dash"},"mathspeak":{"default":"logical-or-with-horizontal-dash"}},"key":"2A5D"},{"category":"Sm","mappings":{"default":{"default":"logical and with double overbar"},"mathspeak":{"default":"logical-and-with-double-overbar"}},"key":"2A5E"},{"category":"Sm","mappings":{"default":{"default":"logical and with underbar"},"mathspeak":{"default":"logical-and-with-underbar"}},"key":"2A5F"},{"category":"Sm","mappings":{"default":{"default":"logical and with double underbar"},"mathspeak":{"default":"logical-and-with-double-underbar"}},"key":"2A60"},{"category":"Sm","mappings":{"default":{"default":"small vee with underbar"},"mathspeak":{"default":"small-vee-with-underbar"}},"key":"2A61"},{"category":"Sm","mappings":{"default":{"default":"logical or with double overbar"},"mathspeak":{"default":"logical-or-with-double-overbar"}},"key":"2A62"},{"category":"Sm","mappings":{"default":{"default":"logical or with double underbar"},"mathspeak":{"default":"logical-or-with-double-underbar"}},"key":"2A63"},{"category":"Sm","mappings":{"default":{"default":"z notation domain antirestriction"},"mathspeak":{"default":"z-notation-domain-antirestriction"}},"key":"2A64"},{"category":"Sm","mappings":{"default":{"default":"z notation range antirestriction"},"mathspeak":{"default":"z-notation-range-antirestriction"}},"key":"2A65"},{"category":"Sm","mappings":{"default":{"default":"equals sign with dot below"},"mathspeak":{"default":"equals-with-dot-below"}},"key":"2A66"},{"category":"Sm","mappings":{"default":{"default":"identical with dot above"},"mathspeak":{"default":"identical-with-dot-above"}},"key":"2A67"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with double vertical stroke"},"mathspeak":{"default":"triple-horizontal-bar-with-double-vertical-stroke"}},"key":"2A68"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with triple vertical stroke"},"mathspeak":{"default":"triple-horizontal-bar-with-triple-vertical-stroke"}},"key":"2A69"},{"category":"Sm","mappings":{"default":{"default":"tilde operator with dot above"},"mathspeak":{"default":"tilde-with-dot-above"}},"key":"2A6A"},{"category":"Sm","mappings":{"default":{"default":"tilde operator with rising dots"},"mathspeak":{"default":"tilde-with-rising-dots"}},"key":"2A6B"},{"category":"Sm","mappings":{"default":{"default":"similar minus similar"},"mathspeak":{"default":"similar-minus-similar"}},"key":"2A6C"},{"category":"Sm","mappings":{"default":{"default":"congruent with dot above"},"mathspeak":{"default":"congruent-with-dot-above"}},"key":"2A6D"},{"category":"Sm","mappings":{"default":{"default":"equals with asterisk"},"mathspeak":{"default":"equals-with-asterisk"}},"key":"2A6E"},{"category":"Sm","mappings":{"default":{"default":"almost equals with circumflex accent","short":"almost equal hat"},"mathspeak":{"default":"almost-equal-hat"}},"key":"2A6F"},{"category":"Sm","mappings":{"default":{"default":"approximately equal or equals"},"mathspeak":{"default":"approximately-equal-or-equal-to"}},"key":"2A70"},{"category":"Sm","mappings":{"default":{"default":"equals sign above plus sign","short":"equals above plus"},"mathspeak":{"default":"equals-above-plus"}},"key":"2A71"},{"category":"Sm","mappings":{"default":{"default":"plus sign above equals sign","short":"plus above equals"},"mathspeak":{"default":"plus-above-equals"}},"key":"2A72"},{"category":"Sm","mappings":{"default":{"default":"equals sign above tilde operator","short":"equals above tilde operator"},"mathspeak":{"default":"equals-above-tilde"}},"key":"2A73"},{"category":"Sm","mappings":{"default":{"default":"double colon equal"},"mathspeak":{"default":"double-colon-equal"}},"key":"2A74"},{"category":"Sm","mappings":{"default":{"default":"two consecutive equals signs","short":"two consecutive equals"},"mathspeak":{"default":"two-consecutive-equals"}},"key":"2A75"},{"category":"Sm","mappings":{"default":{"default":"three consecutive equals signs","short":"three consecutive equals"},"mathspeak":{"default":"three-consecutive-equals"}},"key":"2A76"},{"category":"Sm","mappings":{"default":{"default":"equals sign with two dots above and two dots below"},"mathspeak":{"default":"equals-with-two-dots-above-and-two-dots-below"}},"key":"2A77"},{"category":"Sm","mappings":{"default":{"default":"equivalent with four dots above"},"mathspeak":{"default":"equivalent-with-four-dots-above"}},"key":"2A78"},{"category":"Sm","mappings":{"default":{"default":"less than with circle inside"},"mathspeak":{"default":"less-than-with-circle-inside"}},"key":"2A79"},{"category":"Sm","mappings":{"default":{"default":"greater than with circle inside"},"mathspeak":{"default":"greater-than-with-circle-inside"}},"key":"2A7A"},{"category":"Sm","mappings":{"default":{"default":"less than with question mark above"},"mathspeak":{"default":"less-than-with-question-mark-above"}},"key":"2A7B"},{"category":"Sm","mappings":{"default":{"default":"greater than with question mark above"},"mathspeak":{"default":"greater-than-with-question-mark-above"}},"key":"2A7C"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals"},"mathspeak":{"default":"less-than-or-slanted-equals"}},"key":"2A7D"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals"},"mathspeak":{"default":"greater-than-or-slanted-equals"}},"key":"2A7E"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot inside"},"mathspeak":{"default":"less-than-or-slanted-equals-with-dot-inside"}},"key":"2A7F"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot inside"},"mathspeak":{"default":"greater-than-or-slanted-equals-with-dot-inside"}},"key":"2A80"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above"},"mathspeak":{"default":"less-than-or-slanted-equals-with-dot-above"}},"key":"2A81"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above"},"mathspeak":{"default":"greater-than-or-slanted-equals-with-dot-above"}},"key":"2A82"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above right"},"mathspeak":{"default":"less-than-or-slanted-equals-with-dot-above-right"}},"key":"2A83"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above left"},"mathspeak":{"default":"greater-than-or-slanted-equals-with-dot-above-left"}},"key":"2A84"},{"category":"Sm","mappings":{"default":{"default":"less than or approximate"},"mathspeak":{"default":"less-than-or-approximate"}},"key":"2A85"},{"category":"Sm","mappings":{"default":{"default":"greater than or approximate"},"mathspeak":{"default":"greater-than-or-approximate"}},"key":"2A86"},{"category":"Sm","mappings":{"default":{"default":"less than and single line not equals"},"mathspeak":{"default":"less-than-and-single-line-not-equals"}},"key":"2A87"},{"category":"Sm","mappings":{"default":{"default":"greater than and single line not equals"},"mathspeak":{"default":"greater-than-and-single-line-not-equals"}},"key":"2A88"},{"category":"Sm","mappings":{"default":{"default":"less than and not approximate"},"mathspeak":{"default":"less-than-and-not-approximate"}},"key":"2A89"},{"category":"Sm","mappings":{"default":{"default":"greater than and not approximate"},"mathspeak":{"default":"greater-than-and-not-approximate"}},"key":"2A8A"},{"category":"Sm","mappings":{"default":{"default":"less than above double line equal above greater than"},"mathspeak":{"default":"less-than-above-double-line-equal-above-greater-than"}},"key":"2A8B"},{"category":"Sm","mappings":{"default":{"default":"greater than above double line equal above less than"},"mathspeak":{"default":"greater-than-above-double-line-equal-above-less-than"}},"key":"2A8C"},{"category":"Sm","mappings":{"default":{"default":"less than above similar or equal"},"mathspeak":{"default":"less-than-above-similar-or-equal"}},"key":"2A8D"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar or equal"},"mathspeak":{"default":"greater-than-above-similar-or-equal"}},"key":"2A8E"},{"category":"Sm","mappings":{"default":{"default":"less than above similar above greater than"},"mathspeak":{"default":"less-than-above-similar-above-greater-than"}},"key":"2A8F"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar above less than"},"mathspeak":{"default":"greater-than-above-similar-above-less-than"}},"key":"2A90"},{"category":"Sm","mappings":{"default":{"default":"less than above greater than above double line equal"},"mathspeak":{"default":"less-than-above-greater-than-above-double-line-equal"}},"key":"2A91"},{"category":"Sm","mappings":{"default":{"default":"greater than above less than above double line equal"},"mathspeak":{"default":"greater-than-above-less-than-above-double-line-equal"}},"key":"2A92"},{"category":"Sm","mappings":{"default":{"default":"less than above slanted equal above greater than above slanted equal"},"mathspeak":{"default":"less-than-above-slanted-equal-above-greater-than-above-slanted-equal"}},"key":"2A93"},{"category":"Sm","mappings":{"default":{"default":"greater than above slanted equal above less than above slanted equal"},"mathspeak":{"default":"greater-than-above-slanted-equal-above-less-than-above-slanted-equal"}},"key":"2A94"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than"},"mathspeak":{"default":"slanted-equals-or-less-than"}},"key":"2A95"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than"},"mathspeak":{"default":"slanted-equals-or-greater-than"}},"key":"2A96"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than with dot inside"},"mathspeak":{"default":"slanted-equals-or-less-than-with-dot-inside"}},"key":"2A97"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than with dot inside"},"mathspeak":{"default":"slanted-equals-or-greater-than-with-dot-inside"}},"key":"2A98"},{"category":"Sm","mappings":{"default":{"default":"double line equals or less than"},"mathspeak":{"default":"double-line-equals-or-less-than"}},"key":"2A99"},{"category":"Sm","mappings":{"default":{"default":"double line equals or greater than"},"mathspeak":{"default":"double-line-equals-or-greater-than"}},"key":"2A9A"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or less than"},"mathspeak":{"default":"double-line-slanted-equals-or-less-than"}},"key":"2A9B"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or greater than"},"mathspeak":{"default":"double-line-slanted-equals-or-greater-than"}},"key":"2A9C"},{"category":"Sm","mappings":{"default":{"default":"similar or less than"},"mathspeak":{"default":"similar-or-less-than"}},"key":"2A9D"},{"category":"Sm","mappings":{"default":{"default":"similar or greater than"},"mathspeak":{"default":"similar-or-greater-than"}},"key":"2A9E"},{"category":"Sm","mappings":{"default":{"default":"similar above less than above equals sign"},"mathspeak":{"default":"similar-above-less-than-above-equals"}},"key":"2A9F"},{"category":"Sm","mappings":{"default":{"default":"similar above greater than above equals sign"},"mathspeak":{"default":"similar-above-greater-than-above-equals"}},"key":"2AA0"},{"category":"Sm","mappings":{"default":{"default":"double nested less than"},"mathspeak":{"default":"double-nested-less-than"}},"key":"2AA1"},{"category":"Sm","mappings":{"default":{"default":"double nested greater than"},"mathspeak":{"default":"double-nested-greater-than"}},"key":"2AA2"},{"category":"Sm","mappings":{"default":{"default":"double nested less than with underbar"},"mathspeak":{"default":"double-nested-less-than-with-underbar"}},"key":"2AA3"},{"category":"Sm","mappings":{"default":{"default":"greater than overlapping less than"},"mathspeak":{"default":"greater-than-overlapping-less-than"}},"key":"2AA4"},{"category":"Sm","mappings":{"default":{"default":"greater than beside less than"},"mathspeak":{"default":"greater-than-beside-less-than"}},"key":"2AA5"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve"},"mathspeak":{"default":"less-than-closed-by-curve"}},"key":"2AA6"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve"},"mathspeak":{"default":"greater-than-closed-by-curve"}},"key":"2AA7"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve above slanted equal"},"mathspeak":{"default":"less-than-closed-by-curve-above-slanted-equal"}},"key":"2AA8"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve above slanted equal"},"mathspeak":{"default":"greater-than-closed-by-curve-above-slanted-equal"}},"key":"2AA9"},{"category":"Sm","mappings":{"default":{"default":"smaller than"},"mathspeak":{"default":"smaller-than"}},"key":"2AAA"},{"category":"Sm","mappings":{"default":{"default":"larger than"},"mathspeak":{"default":"larger-than"}},"key":"2AAB"},{"category":"Sm","mappings":{"default":{"default":"smaller than or equals"},"mathspeak":{"default":"smaller-than-or-equal-to"}},"key":"2AAC"},{"category":"Sm","mappings":{"default":{"default":"larger than or equals"},"mathspeak":{"default":"larger-than-or-equal-to"}},"key":"2AAD"},{"category":"Sm","mappings":{"default":{"default":"equals sign with bumpy above"},"mathspeak":{"default":"equals-with-bumpy-above"}},"key":"2AAE"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line equals sign"},"mathspeak":{"default":"precedes-above-single-line-equals"}},"key":"2AAF"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line equals sign"},"mathspeak":{"default":"succeeds-above-single-line-equals"}},"key":"2AB0"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line not equals"},"mathspeak":{"default":"precedes-above-single-line-not-equals"}},"key":"2AB1"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line not equals"},"mathspeak":{"default":"succeeds-above-single-line-not-equals"}},"key":"2AB2"},{"category":"Sm","mappings":{"default":{"default":"precedes above equals sign"},"mathspeak":{"default":"precedes-above-equals"}},"key":"2AB3"},{"category":"Sm","mappings":{"default":{"default":"succeeds above equals sign"},"mathspeak":{"default":"succeeds-above-equals"}},"key":"2AB4"},{"category":"Sm","mappings":{"default":{"default":"precedes above not equals"},"mathspeak":{"default":"precedes-above-not-equals"}},"key":"2AB5"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not equals"},"mathspeak":{"default":"succeeds-above-not-equals"}},"key":"2AB6"},{"category":"Sm","mappings":{"default":{"default":"precedes above almost equals"},"mathspeak":{"default":"precedes-above-almost-equals"}},"key":"2AB7"},{"category":"Sm","mappings":{"default":{"default":"succeeds above almost equals"},"mathspeak":{"default":"succeeds-above-almost-equals"}},"key":"2AB8"},{"category":"Sm","mappings":{"default":{"default":"precedes above not almost equals"},"mathspeak":{"default":"precedes-above-not-almost-equals"}},"key":"2AB9"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not almost equals"},"mathspeak":{"default":"succeeds-above-not-almost-equals"}},"key":"2ABA"},{"category":"Sm","mappings":{"default":{"default":"double precedes"},"mathspeak":{"default":"double-precedes"}},"key":"2ABB"},{"category":"Sm","mappings":{"default":{"default":"double succeeds"},"mathspeak":{"default":"double-succeeds"}},"key":"2ABC"},{"category":"Sm","mappings":{"default":{"default":"subset with dot"},"mathspeak":{"default":"subset-with-dot"}},"key":"2ABD"},{"category":"Sm","mappings":{"default":{"default":"superset with dot"},"mathspeak":{"default":"superset-with-dot"}},"key":"2ABE"},{"category":"Sm","mappings":{"default":{"default":"subset with plus sign below"},"mathspeak":{"default":"subset-with-plus-sign-below"}},"key":"2ABF"},{"category":"Sm","mappings":{"default":{"default":"superset with plus sign below"},"mathspeak":{"default":"superset-with-plus-sign-below"}},"key":"2AC0"},{"category":"Sm","mappings":{"default":{"default":"subset with multiplication sign below"},"mathspeak":{"default":"subset-with-multiplication-sign-below"}},"key":"2AC1"},{"category":"Sm","mappings":{"default":{"default":"superset with multiplication sign below"},"mathspeak":{"default":"superset-with-multiplication-sign-below"}},"key":"2AC2"},{"category":"Sm","mappings":{"default":{"default":"subset of or equals with dot above"},"mathspeak":{"default":"subset-of-or-equal-to-with-dot-above"}},"key":"2AC3"},{"category":"Sm","mappings":{"default":{"default":"superset of or equals with dot above"},"mathspeak":{"default":"superset-of-or-equal-to-with-dot-above"}},"key":"2AC4"},{"category":"Sm","mappings":{"default":{"default":"subset of above equals sign"},"mathspeak":{"default":"subset-of-above-equals"}},"key":"2AC5"},{"category":"Sm","mappings":{"default":{"default":"superset of above equals sign"},"mathspeak":{"default":"superset-of-above-equals"}},"key":"2AC6"},{"category":"Sm","mappings":{"default":{"default":"subset of above tilde operator"},"mathspeak":{"default":"subset-of-above-tilde"}},"key":"2AC7"},{"category":"Sm","mappings":{"default":{"default":"superset of above tilde operator"},"mathspeak":{"default":"superset-of-above-tilde"}},"key":"2AC8"},{"category":"Sm","mappings":{"default":{"default":"subset of above almost equals"},"mathspeak":{"default":"subset-of-above-almost-equals"}},"key":"2AC9"},{"category":"Sm","mappings":{"default":{"default":"superset of above almost equals"},"mathspeak":{"default":"superset-of-above-almost-equals"}},"key":"2ACA"},{"category":"Sm","mappings":{"default":{"default":"subset of above not equals"},"mathspeak":{"default":"subset-of-above-not-equals"}},"key":"2ACB"},{"category":"Sm","mappings":{"default":{"default":"superset of above not equals"},"mathspeak":{"default":"superset-of-above-not-equals"}},"key":"2ACC"},{"category":"Sm","mappings":{"default":{"default":"square left open box operator"},"mathspeak":{"default":"square-left-open-box"}},"key":"2ACD"},{"category":"Sm","mappings":{"default":{"default":"square right open box operator"},"mathspeak":{"default":"square-right-open-box"}},"key":"2ACE"},{"category":"Sm","mappings":{"default":{"default":"closed subset"},"mathspeak":{"default":"closed-subset"}},"key":"2ACF"},{"category":"Sm","mappings":{"default":{"default":"closed superset"},"mathspeak":{"default":"closed-superset"}},"key":"2AD0"},{"category":"Sm","mappings":{"default":{"default":"closed subset or equals"},"mathspeak":{"default":"closed-subset-or-equal-to"}},"key":"2AD1"},{"category":"Sm","mappings":{"default":{"default":"closed superset or equals"},"mathspeak":{"default":"closed-superset-or-equal-to"}},"key":"2AD2"},{"category":"Sm","mappings":{"default":{"default":"subset above superset"},"mathspeak":{"default":"subset-above-superset"}},"key":"2AD3"},{"category":"Sm","mappings":{"default":{"default":"superset above subset"},"mathspeak":{"default":"superset-above-subset"}},"key":"2AD4"},{"category":"Sm","mappings":{"default":{"default":"subset above subset"},"mathspeak":{"default":"subset-above-subset"}},"key":"2AD5"},{"category":"Sm","mappings":{"default":{"default":"superset above superset"},"mathspeak":{"default":"superset-above-superset"}},"key":"2AD6"},{"category":"Sm","mappings":{"default":{"default":"superset beside subset"},"mathspeak":{"default":"superset-beside-subset"}},"key":"2AD7"},{"category":"Sm","mappings":{"default":{"default":"superset beside and joined by dash with subset"},"mathspeak":{"default":"superset-beside-and-joined-by-dash-with-subset"}},"key":"2AD8"},{"category":"Sm","mappings":{"default":{"default":"element of opening downwards"},"mathspeak":{"default":"element-of-opening-downwards"}},"key":"2AD9"},{"category":"Sm","mappings":{"default":{"default":"pitchfork with tee top"},"mathspeak":{"default":"pitchfork-with-tee-top"}},"key":"2ADA"},{"category":"Sm","mappings":{"default":{"default":"transversal intersection"},"mathspeak":{"default":"transversal-intersection"}},"key":"2ADB"},{"category":"Sm","mappings":{"default":{"default":"forking"}},"key":"2ADC"},{"category":"Sm","mappings":{"default":{"default":"nonforking"}},"key":"2ADD"},{"category":"Sm","mappings":{"default":{"default":"short left tack"},"mathspeak":{"default":"short-left-tack"}},"key":"2ADE"},{"category":"Sm","mappings":{"default":{"default":"short down tack"},"mathspeak":{"default":"short-down-tack"}},"key":"2ADF"},{"category":"Sm","mappings":{"default":{"default":"short up tack"},"mathspeak":{"default":"short-up-tack"}},"key":"2AE0"},{"category":"Sm","mappings":{"default":{"default":"perpendicular with s"},"mathspeak":{"default":"perpendicular-with-s"}},"key":"2AE1"},{"category":"Sm","mappings":{"default":{"default":"vertical bar triple right turnstile"},"mathspeak":{"default":"vertical-bar-triple-right-turnstile"}},"key":"2AE2"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar left turnstile"},"mathspeak":{"default":"double-vertical-bar-left-turnstile"}},"key":"2AE3"},{"category":"Sm","mappings":{"default":{"default":"vertical bar double left turnstile"},"mathspeak":{"default":"vertical-bar-double-left-turnstile"}},"key":"2AE4"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double left turnstile"},"mathspeak":{"default":"double-vertical-bar-double-left-turnstile"}},"key":"2AE5"},{"category":"Sm","mappings":{"default":{"default":"long dash from left member of double vertical"},"mathspeak":{"default":"long-dash-from-left-member-of-double-vertical"}},"key":"2AE6"},{"category":"Sm","mappings":{"default":{"default":"short down tack with overbar"},"mathspeak":{"default":"short-down-tack-with-overbar"}},"key":"2AE7"},{"category":"Sm","mappings":{"default":{"default":"short up tack with underbar"},"mathspeak":{"default":"short-up-tack-with-underbar"}},"key":"2AE8"},{"category":"Sm","mappings":{"default":{"default":"short up tack above short down tack"},"mathspeak":{"default":"short-up-tack-above-short-down-tack"}},"key":"2AE9"},{"category":"Sm","mappings":{"default":{"default":"double down tack"},"mathspeak":{"default":"double-down-tack"}},"key":"2AEA"},{"category":"Sm","mappings":{"default":{"default":"double up tack"},"mathspeak":{"default":"double-up-tack"}},"key":"2AEB"},{"category":"Sm","mappings":{"default":{"default":"double stroke not sign"},"mathspeak":{"default":"double-stroke-not-sign"}},"key":"2AEC"},{"category":"Sm","mappings":{"default":{"default":"reversed double stroke not sign"},"mathspeak":{"default":"reversed-double-stroke-not-sign"}},"key":"2AED"},{"category":"Sm","mappings":{"default":{"default":"does not divide with reversed negation slash"},"mathspeak":{"default":"does-not-divide-with-reversed-negation-slash"}},"key":"2AEE"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle above"},"mathspeak":{"default":"vertical-line-with-circle-above"}},"key":"2AEF"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle below"},"mathspeak":{"default":"vertical-line-with-circle-below"}},"key":"2AF0"},{"category":"Sm","mappings":{"default":{"default":"down tack with circle below"},"mathspeak":{"default":"down-tack-with-circle-below"}},"key":"2AF1"},{"category":"Sm","mappings":{"default":{"default":"parallel with horizontal stroke"},"mathspeak":{"default":"parallel-with-horizontal-stroke"}},"key":"2AF2"},{"category":"Sm","mappings":{"default":{"default":"parallel with tilde operator"},"mathspeak":{"default":"parallel-with-tilde"}},"key":"2AF3"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar binary relation"},"mathspeak":{"default":"triple-vertical-bar-binary-relation"}},"key":"2AF4"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar with horizontal stroke"},"mathspeak":{"default":"triple-vertical-bar-with-horizontal-stroke"}},"key":"2AF5"},{"category":"Sm","mappings":{"default":{"default":"triple colon operator"},"mathspeak":{"default":"triple-colon"}},"key":"2AF6"},{"category":"Sm","mappings":{"default":{"default":"triple nested less than"},"mathspeak":{"default":"triple-nested-less-than"}},"key":"2AF7"},{"category":"Sm","mappings":{"default":{"default":"triple nested greater than"},"mathspeak":{"default":"triple-nested-greater-than"}},"key":"2AF8"},{"category":"Sm","mappings":{"default":{"default":"double line slanted less than or equals"},"mathspeak":{"default":"double-line-slanted-less-than-or-equal-to"}},"key":"2AF9"},{"category":"Sm","mappings":{"default":{"default":"double line slanted greater than or equals"},"mathspeak":{"default":"double-line-slanted-greater-than-or-equal-to"}},"key":"2AFA"},{"category":"Sm","mappings":{"default":{"default":"triple solidus binary relation"},"mathspeak":{"default":"triple-solidus-binary-relation"}},"key":"2AFB"},{"category":"Sm","mappings":{"default":{"default":"large triple vertical bar operator"},"mathspeak":{"default":"large-triple-vertical-bar"}},"key":"2AFC"},{"category":"Sm","mappings":{"default":{"default":"double solidus operator"},"mathspeak":{"default":"double-solidus"}},"key":"2AFD"},{"category":"Sm","mappings":{"default":{"default":"white vertical bar"},"mathspeak":{"default":"white-vertical-bar"}},"key":"2AFE"},{"category":"Sm","mappings":{"default":{"default":"n ary white vertical bar"},"mathspeak":{"default":"white-vertical-bar"}},"key":"2AFF"},{"category":"Pd","mappings":{"default":{"default":"wave dash"},"mathspeak":{"default":"wave-dash"}},"key":"301C"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical comma"},"mathspeak":{"default":"presentation-form-for-vertical-comma"}},"key":"FE10"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical colon"},"mathspeak":{"default":"presentation-form-for-vertical-colon"}},"key":"FE13"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical semicolon"},"mathspeak":{"default":"presentation-form-for-vertical-semicolon"}},"key":"FE14"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical exclamation mark"},"mathspeak":{"default":"presentation-form-for-vertical-exclamation-mark"}},"key":"FE15"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical question mark"},"mathspeak":{"default":"presentation-form-for-vertical-question-mark"}},"key":"FE16"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical horizontal ellipsis"},"mathspeak":{"default":"presentation-form-for-vertical-horizontal-ellipsis"}},"key":"FE19"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical two dot leader","alternative":"glyph for vertical two dot leader"},"mathspeak":{"default":"glyph-for-vertical-two-dot-leader"}},"key":"FE30"},{"category":"Pd","mappings":{"default":{"default":"presentation form for vertical em dash","alternative":"glyph for vertical em dash"},"mathspeak":{"default":"glyph-for-vertical-em-dash"}},"key":"FE31"},{"category":"Pd","mappings":{"default":{"default":"presentation form for vertical en dash","alternative":"glyph for vertical en dash"},"mathspeak":{"default":"glyph-for-vertical-en-dash"}},"key":"FE32"},{"category":"Pc","mappings":{"default":{"default":"presentation form for vertical low line","alternative":"glyph for vertical spacing underscore"},"mathspeak":{"default":"glyph-for-vertical-underscore"}},"key":"FE33"},{"category":"Pc","mappings":{"default":{"default":"presentation form for vertical wavy low line","alternative":"glyph for vertical spacing wavy underscore"},"mathspeak":{"default":"glyph-for-vertical-wavy-underscore"}},"key":"FE34"},{"category":"Po","mappings":{"default":{"default":"sesame dot"},"mathspeak":{"default":"sesame-dot"}},"key":"FE45"},{"category":"Po","mappings":{"default":{"default":"white sesame dot"},"mathspeak":{"default":"white-sesame-dot"}},"key":"FE46"},{"category":"Po","mappings":{"default":{"default":"dashed overline","alternative":"spacing dashed overscore"},"mathspeak":{"default":"dashed-overscore"}},"key":"FE49"},{"category":"Po","mappings":{"default":{"default":"centerline overline","alternative":"spacing centerline overscore"},"mathspeak":{"default":"centerline-overscore"}},"key":"FE4A"},{"category":"Po","mappings":{"default":{"default":"wavy overline","alternative":"spacing wavy overscore"},"mathspeak":{"default":"wavy-overscore"}},"key":"FE4B"},{"category":"Po","mappings":{"default":{"default":"double wavy overline","alternative":"spacing double wavy overscore"},"mathspeak":{"default":"double-wavy-overscore"}},"key":"FE4C"},{"category":"Pc","mappings":{"default":{"default":"dashed low line","alternative":"spacing dashed underscore"},"mathspeak":{"default":"dashed-underscore"}},"key":"FE4D"},{"category":"Pc","mappings":{"default":{"default":"centerline low line","alternative":"spacing centerline underscore"},"mathspeak":{"default":"centerline-underscore"}},"key":"FE4E"},{"category":"Pc","mappings":{"default":{"default":"wavy low line","alternative":"spacing wavy underscore"},"mathspeak":{"default":"wavy-underscore"}},"key":"FE4F"},{"category":"Po","mappings":{"default":{"default":"small comma"},"mathspeak":{"default":"small-comma"}},"key":"FE50"},{"category":"Po","mappings":{"default":{"default":"small full stop","alternative":"small period"},"mathspeak":{"default":"small-period"}},"key":"FE52"},{"category":"Po","mappings":{"default":{"default":"small semicolon"},"mathspeak":{"default":"small-semicolon"}},"key":"FE54"},{"category":"Po","mappings":{"default":{"default":"small colon"},"mathspeak":{"default":"small-colon"}},"key":"FE55"},{"category":"Po","mappings":{"default":{"default":"small question mark"},"mathspeak":{"default":"small-question-mark"}},"key":"FE56"},{"category":"Po","mappings":{"default":{"default":"small exclamation mark"},"mathspeak":{"default":"small-exclamation-mark"}},"key":"FE57"},{"category":"Pd","mappings":{"default":{"default":"small em dash"},"mathspeak":{"default":"small-em-dash"}},"key":"FE58"},{"category":"Po","mappings":{"default":{"default":"small number sign"},"mathspeak":{"default":"small-number-sign"}},"key":"FE5F"},{"category":"Po","mappings":{"default":{"default":"small ampersand"},"mathspeak":{"default":"small-ampersand"}},"key":"FE60"},{"category":"Po","mappings":{"default":{"default":"small asterisk"},"mathspeak":{"default":"small-asterisk"}},"key":"FE61"},{"category":"Sm","mappings":{"default":{"default":"small plus sign"},"mathspeak":{"default":"small-plus-sign"}},"key":"FE62"},{"category":"Pd","mappings":{"default":{"default":"small hyphen minus"},"mathspeak":{"default":"small-hyphen-minus"}},"key":"FE63"},{"category":"Sm","mappings":{"default":{"default":"small less than sign"},"mathspeak":{"default":"small-less-than-sign"}},"key":"FE64"},{"category":"Sm","mappings":{"default":{"default":"small greater than sign"},"mathspeak":{"default":"small-greater-than-sign"}},"key":"FE65"},{"category":"Sm","mappings":{"default":{"default":"small equals sign"},"mathspeak":{"default":"small-equals"}},"key":"FE66"},{"category":"Po","mappings":{"default":{"default":"small reverse solidus","alternative":"small backslash"},"mathspeak":{"default":"small-backslash"}},"key":"FE68"},{"category":"Sc","mappings":{"default":{"default":"small dollar sign"},"mathspeak":{"default":"small-dollar-sign"}},"key":"FE69"},{"category":"Po","mappings":{"default":{"default":"small percent sign"},"mathspeak":{"default":"small-percent-sign"}},"key":"FE6A"},{"category":"Po","mappings":{"default":{"default":"small commercial at"},"mathspeak":{"default":"small-commercial-at"}},"key":"FE6B"},{"category":"Po","mappings":{"default":{"default":"fullwidth exclamation mark"},"mathspeak":{"default":"exclamation-mark"}},"key":"FF01"},{"category":"Po","mappings":{"default":{"default":"fullwidth quotation mark"},"mathspeak":{"default":"quotation-mark"}},"key":"FF02"},{"category":"Po","mappings":{"default":{"default":"fullwidth number sign"},"mathspeak":{"default":"number-sign"}},"key":"FF03"},{"category":"Sc","mappings":{"default":{"default":"fullwidth dollar sign"},"mathspeak":{"default":"dollar-sign"}},"key":"FF04"},{"category":"Po","mappings":{"default":{"default":"fullwidth percent sign"},"mathspeak":{"default":"percent-sign"}},"key":"FF05"},{"category":"Po","mappings":{"default":{"default":"fullwidth ampersand"},"mathspeak":{"default":"ampersand"}},"key":"FF06"},{"category":"Po","mappings":{"default":{"default":"fullwidth apostrophe"},"mathspeak":{"default":"apostrophe"}},"key":"FF07"},{"category":"Po","mappings":{"default":{"default":"fullwidth asterisk"},"mathspeak":{"default":"asterisk"}},"key":"FF0A"},{"category":"Sm","mappings":{"default":{"default":"fullwidth plus sign"},"mathspeak":{"default":"plus-sign"}},"key":"FF0B"},{"category":"Po","mappings":{"default":{"default":"fullwidth comma"},"mathspeak":{"default":"comma"}},"key":"FF0C"},{"category":"Pd","mappings":{"default":{"default":"fullwidth hyphen minus"},"mathspeak":{"default":"hyphen-minus"}},"key":"FF0D"},{"category":"Po","mappings":{"default":{"default":"fullwidth full stop","alternative":"fullwidth period"},"mathspeak":{"default":"period"}},"key":"FF0E"},{"category":"Po","mappings":{"default":{"default":"fullwidth solidus","alternative":"fullwidth slash"},"mathspeak":{"default":"slash"}},"key":"FF0F"},{"category":"Po","mappings":{"default":{"default":"fullwidth colon"},"mathspeak":{"default":"colon"}},"key":"FF1A"},{"category":"Po","mappings":{"default":{"default":"fullwidth semicolon"},"mathspeak":{"default":"semicolon"}},"key":"FF1B"},{"category":"Sm","mappings":{"default":{"default":"fullwidth less than sign"},"mathspeak":{"default":"less-than-sign"}},"key":"FF1C"},{"category":"Sm","mappings":{"default":{"default":"fullwidth equals sign"},"mathspeak":{"default":"equals"}},"key":"FF1D"},{"category":"Sm","mappings":{"default":{"default":"fullwidth greater than sign"},"mathspeak":{"default":"greater-than-sign"}},"key":"FF1E"},{"category":"Po","mappings":{"default":{"default":"fullwidth question mark"},"mathspeak":{"default":"question-mark"}},"key":"FF1F"},{"category":"Po","mappings":{"default":{"default":"fullwidth commercial at"},"mathspeak":{"default":"commercial-at"}},"key":"FF20"},{"category":"Po","mappings":{"default":{"default":"fullwidth reverse solidus","alternative":"fullwidth backslash"},"mathspeak":{"default":"backslash"}},"key":"FF3C"},{"category":"Sk","mappings":{"default":{"default":"fullwidth circumflex accent","alternative":"fullwidth spacing circumflex"},"mathspeak":{"default":"caret"}},"key":"FF3E"},{"category":"Pc","mappings":{"default":{"default":"fullwidth low line","alternative":"fullwidth spacing underscore"},"mathspeak":{"default":"bar"}},"key":"FF3F"},{"category":"Sk","mappings":{"default":{"default":"fullwidth grave accent","alternative":"fullwidth spacing grave"},"mathspeak":{"default":"grave"}},"key":"FF40"},{"category":"Sm","mappings":{"default":{"default":"fullwidth vertical line","alternative":"fullwidth vertical bar"},"mathspeak":{"default":"vertical-bar"}},"key":"FF5C"},{"category":"Sm","mappings":{"default":{"default":"fullwidth tilde","alternative":"fullwidth spacing tilde"},"mathspeak":{"default":"tilde"}},"key":"FF5E"},{"category":"Sc","mappings":{"default":{"default":"fullwidth cent sign"},"mathspeak":{"default":"cent-sign"}},"key":"FFE0"},{"category":"Sc","mappings":{"default":{"default":"fullwidth pound sign"},"mathspeak":{"default":"pound-sign"}},"key":"FFE1"},{"category":"Sm","mappings":{"default":{"default":"fullwidth not sign"},"mathspeak":{"default":"not-sign"}},"key":"FFE2"},{"category":"Sk","mappings":{"default":{"default":"fullwidth macron","alternative":"fullwidth spacing macron"},"mathspeak":{"default":"bar"}},"key":"FFE3"},{"category":"So","mappings":{"default":{"default":"fullwidth broken bar","alternative":"fullwidth broken vertical bar"},"mathspeak":{"default":"broken-vertical-bar"}},"key":"FFE4"},{"category":"Sc","mappings":{"default":{"default":"fullwidth yen sign"},"mathspeak":{"default":"yen-sign"}},"key":"FFE5"},{"category":"Sc","mappings":{"default":{"default":"fullwidth won sign"},"mathspeak":{"default":"won-sign"}},"key":"FFE6"},{"category":"So","mappings":{"default":{"default":"halfwidth forms light vertical"},"mathspeak":{"default":"halfwidth-forms-light-vertical"}},"key":"FFE8"},{"category":"So","mappings":{"default":{"default":"halfwidth black square"},"mathspeak":{"default":"halfwidth-black-square"}},"key":"FFED"},{"category":"So","mappings":{"default":{"default":"halfwidth white circle"},"mathspeak":{"default":"halfwidth-white-circle"}},"key":"FFEE"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/math_whitespace.js b/extensions/a11y/mathmaps/en/symbols/math_whitespace.js
deleted file mode 100644
index 3bdfe4aa0b..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/math_whitespace.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Zs","mappings":{"default":{"default":"space"}},"key":"0020"},{"category":"Zs","mappings":{"default":{"default":"no break space","alternative":"non breaking space"}},"key":"00A0"},{"category":"Cf","mappings":{"default":{"default":"soft hyphen"}},"key":"00AD"},{"category":"Zs","mappings":{"default":{"default":"en quad"}},"key":"2000"},{"category":"Zs","mappings":{"default":{"default":"em quad"}},"key":"2001"},{"category":"Zs","mappings":{"default":{"default":"en space"}},"key":"2002"},{"category":"Zs","mappings":{"default":{"default":"em space"}},"key":"2003"},{"category":"Zs","mappings":{"default":{"default":"three per em space"}},"key":"2004"},{"category":"Zs","mappings":{"default":{"default":"four per em space"}},"key":"2005"},{"category":"Zs","mappings":{"default":{"default":"six per em space"}},"key":"2006"},{"category":"Zs","mappings":{"default":{"default":"figure space"}},"key":"2007"},{"category":"Zs","mappings":{"default":{"default":"punctuation space"}},"key":"2008"},{"category":"Zs","mappings":{"default":{"default":"thin space"}},"key":"2009"},{"category":"Zs","mappings":{"default":{"default":"hair space"}},"key":"200A"},{"category":"Cf","mappings":{"default":{"default":"zero width space"}},"key":"200B"},{"category":"Cf","mappings":{"default":{"default":"zero width non joiner"}},"key":"200C"},{"category":"Cf","mappings":{"default":{"default":"zero width joiner"}},"key":"200D"},{"category":"Cf","mappings":{"default":{"default":"left to right mark"}},"key":"200E"},{"category":"Cf","mappings":{"default":{"default":"right to left mark"}},"key":"200F"},{"category":"Zl","mappings":{"default":{"default":"line separator"}},"key":"2028"},{"category":"Zp","mappings":{"default":{"default":"paragraph separator"}},"key":"2029"},{"category":"Cf","mappings":{"default":{"default":"left to right embedding"}},"key":"202A"},{"category":"Cf","mappings":{"default":{"default":"right to left embedding"}},"key":"202B"},{"category":"Cf","mappings":{"default":{"default":"pop directional formatting"}},"key":"202C"},{"category":"Cf","mappings":{"default":{"default":"left to right override"}},"key":"202D"},{"category":"Cf","mappings":{"default":{"default":"right to left override"}},"key":"202E"},{"category":"Zs","mappings":{"default":{"default":"narrow no break space"}},"key":"202F"},{"category":"Zs","mappings":{"default":{"default":"medium mathematical space"}},"key":"205F"},{"category":"Cf","mappings":{"default":{"default":"word joiner"}},"key":"2060"},{"category":"Cf","mappings":{"default":{"default":"function application","short":"of"}},"key":"2061"},{"category":"Cf","mappings":{"default":{"default":"invisible times","short":"times"}},"key":"2062"},{"category":"Cf","mappings":{"default":{"default":"invisible separator","short":"separator"}},"key":"2063"},{"category":"Cf","mappings":{"default":{"default":"invisible plus","short":"plus"}},"key":"2064"},{"category":"Cf","mappings":{"default":{"default":"inhibit symmetric swapping"}},"key":"206A"},{"category":"Cf","mappings":{"default":{"default":"activate symmetric swapping"}},"key":"206B"},{"category":"Cf","mappings":{"default":{"default":"national digit shapes"}},"key":"206E"},{"category":"Cf","mappings":{"default":{"default":"nominal digit shapes"}},"key":"206F"},{"category":"Cf","mappings":{"default":{"default":"zero width no break space","alternative":"byte order mark"}},"key":"FEFF"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation anchor"}},"key":"FFF9"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation separator"}},"key":"FFFA"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation terminator"}},"key":"FFFB"}]
diff --git a/extensions/a11y/mathmaps/en/symbols/other_stars.js b/extensions/a11y/mathmaps/en/symbols/other_stars.js
deleted file mode 100644
index ba5d0a4137..0000000000
--- a/extensions/a11y/mathmaps/en/symbols/other_stars.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"decimal exponent symbol"}},"key":"23E8"},{"category":"So","mappings":{"default":{"default":"black star"}},"key":"2605"},{"category":"So","mappings":{"default":{"default":"white star"}},"key":"2606"},{"category":"So","mappings":{"default":{"default":"medium white circle","short":"white circle"}},"key":"26AA"},{"category":"So","mappings":{"default":{"default":"medium black circle","short":"black circle"}},"key":"26AB"},{"category":"So","mappings":{"default":{"default":"white heavy check mark","short":"white check"}},"key":"2705"},{"category":"So","mappings":{"default":{"default":"check mark","short":"check"}},"key":"2713"},{"category":"So","mappings":{"default":{"default":"heavy check mark","short":"heavy check"}},"key":"2714"},{"category":"So","mappings":{"default":{"default":"multiplication x"}},"key":"2715"},{"category":"So","mappings":{"default":{"default":"heavy multiplication x"}},"key":"2716"},{"category":"So","mappings":{"default":{"default":"ballot x"}},"key":"2717"},{"category":"So","mappings":{"default":{"default":"heavy ballot x"}},"key":"2718"},{"category":"So","mappings":{"default":{"default":"open center cross"}},"key":"271B"},{"category":"So","mappings":{"default":{"default":"heavy open center cross"}},"key":"271C"},{"category":"So","mappings":{"default":{"default":"maltese cross"}},"key":"2720"},{"category":"So","mappings":{"default":{"default":"star of david"}},"key":"2721"},{"category":"So","mappings":{"default":{"default":"four teardrop spoked asterisk"}},"key":"2722"},{"category":"So","mappings":{"default":{"default":"four balloon spoked asterisk"}},"key":"2723"},{"category":"So","mappings":{"default":{"default":"heavy four balloon spoked asterisk"}},"key":"2724"},{"category":"So","mappings":{"default":{"default":"four club spoked asterisk"}},"key":"2725"},{"category":"So","mappings":{"default":{"default":"black four pointed star"}},"key":"2726"},{"category":"So","mappings":{"default":{"default":"white four pointed star"}},"key":"2727"},{"category":"So","mappings":{"default":{"default":"sparkles"}},"key":"2728"},{"category":"So","mappings":{"default":{"default":"stress outlined white star"}},"key":"2729"},{"category":"So","mappings":{"default":{"default":"circled white star"}},"key":"272A"},{"category":"So","mappings":{"default":{"default":"open center black star"}},"key":"272B"},{"category":"So","mappings":{"default":{"default":"black center white star"}},"key":"272C"},{"category":"So","mappings":{"default":{"default":"outlined black star"}},"key":"272D"},{"category":"So","mappings":{"default":{"default":"heavy outlined black star"}},"key":"272E"},{"category":"So","mappings":{"default":{"default":"pinwheel star"}},"key":"272F"},{"category":"So","mappings":{"default":{"default":"shadowed white star"}},"key":"2730"},{"category":"So","mappings":{"default":{"default":"heavy asterisk"}},"key":"2731"},{"category":"So","mappings":{"default":{"default":"open center asterisk"}},"key":"2732"},{"category":"So","mappings":{"default":{"default":"eight spoked asterisk"}},"key":"2733"},{"category":"So","mappings":{"default":{"default":"eight pointed black star"}},"key":"2734"},{"category":"So","mappings":{"default":{"default":"eight pointed pinwheel star"}},"key":"2735"},{"category":"So","mappings":{"default":{"default":"six pointed black star"}},"key":"2736"},{"category":"So","mappings":{"default":{"default":"twelve pointed black star"}},"key":"2739"},{"category":"So","mappings":{"default":{"default":"sixteen pointed asterisk"}},"key":"273A"},{"category":"So","mappings":{"default":{"default":"teardrop spoked asterisk"}},"key":"273B"},{"category":"So","mappings":{"default":{"default":"open center teardrop spoked asterisk"}},"key":"273C"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"key":"273D"},{"category":"So","mappings":{"default":{"default":"six petalled black and white florette"}},"key":"273E"},{"category":"So","mappings":{"default":{"default":"black florette"}},"key":"273F"},{"category":"So","mappings":{"default":{"default":"white florette"}},"key":"2740"},{"category":"So","mappings":{"default":{"default":"eight petalled outlined black florette"}},"key":"2741"},{"category":"So","mappings":{"default":{"default":"circled open center eight pointed star"}},"key":"2742"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked pinwheel asterisk"}},"key":"2743"},{"category":"So","mappings":{"default":{"default":"snowflake"}},"key":"2744"},{"category":"So","mappings":{"default":{"default":"tight trifoliate snowflake"}},"key":"2745"},{"category":"So","mappings":{"default":{"default":"heavy chevron snowflake"}},"key":"2746"},{"category":"So","mappings":{"default":{"default":"sparkle"}},"key":"2747"},{"category":"So","mappings":{"default":{"default":"heavy sparkle"}},"key":"2748"},{"category":"So","mappings":{"default":{"default":"balloon spoked asterisk"}},"key":"2749"},{"category":"So","mappings":{"default":{"default":"eight teardrop spoked propeller asterisk"}},"key":"274A"},{"category":"So","mappings":{"default":{"default":"heavy eight teardrop spoked propeller asterisk"}},"key":"274B"},{"category":"So","mappings":{"default":{"default":"cross mark"}},"key":"274C"},{"category":"So","mappings":{"default":{"default":"shadowed white circle"}},"key":"274D"}]
diff --git a/extensions/a11y/mathmaps/en/units/energy.js b/extensions/a11y/mathmaps/en/units/energy.js
deleted file mode 100644
index 412da6b38b..0000000000
--- a/extensions/a11y/mathmaps/en/units/energy.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"energy","mappings":{"default":{"default":"watts"}},"key":"W","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"kilowatts"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"milliwatts"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"kilowatt hours"}},"key":"kwh","names":["kwh","kWh"]},{"category":"energy","mappings":{"default":{"default":"joules"}},"key":"J","names":["J"]},{"category":"energy","mappings":{"default":{"default":"Newton"}},"key":"N","names":["N"]},{"category":"energy","mappings":{"default":{"default":"amperes"}},"key":"A","names":["A"]},{"category":"energy","mappings":{"default":{"default":"volts"}},"key":"V","names":["V"]},{"category":"energy","mappings":{"default":{"default":"microohm"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"milliohm"}},"key":"mΩ","names":["mΩ"]},{"category":"energy","mappings":{"default":{"default":"ohm"}},"key":"Ω","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"kilohm"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"ohm"}},"key":"Ω","names":["Ω"]},{"category":"energy","mappings":{"default":{"default":"megaohm"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"gigaohm"}},"key":"GΩ","names":["GΩ"]}]
diff --git a/extensions/a11y/mathmaps/en/units/length.js b/extensions/a11y/mathmaps/en/units/length.js
deleted file mode 100644
index b1081024f8..0000000000
--- a/extensions/a11y/mathmaps/en/units/length.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Length","mappings":{"default":{"default":"millimeters"}},"key":"mm","names":["mm"]},{"category":"Length","mappings":{"default":{"default":"centimeters"}},"key":"cm","names":["cm"]},{"category":"Length","mappings":{"default":{"default":"meters"}},"key":"m","names":["m"]},{"category":"Length","mappings":{"default":{"default":"kilometers"}},"key":"km","names":["km"]},{"category":"Length","mappings":{"default":{"default":"feet"}},"key":"ft","names":["ft","ft."]},{"category":"Length","mappings":{"default":{"default":"inches"}},"key":"in","names":["in","in."]},{"category":"Length","mappings":{"default":{"default":"miles"}},"key":"mi","names":["mi","mi."]},{"category":"Length","mappings":{"default":{"default":"yards"}},"key":"yd","names":["yd","yd."]},{"category":"","mappings":{"default":{"default":"nautical miles"}},"key":"n.m.","names":["n.m."]}]
diff --git a/extensions/a11y/mathmaps/en/units/memory.js b/extensions/a11y/mathmaps/en/units/memory.js
deleted file mode 100644
index 1fa748cd0d..0000000000
--- a/extensions/a11y/mathmaps/en/units/memory.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"bits"}},"key":"b","names":["b"]},{"category":"","mappings":{"default":{"default":"bytes"}},"key":"B","names":["B"]},{"category":"","mappings":{"default":{"default":"kilobytes"}},"key":"KB","names":["KB"]},{"category":"","mappings":{"default":{"default":"megabytes"}},"key":"MB","names":["MB"]},{"category":"","mappings":{"default":{"default":"gigabytes"}},"key":"GB","names":["GB"]},{"category":"","mappings":{"default":{"default":"terabytes"}},"key":"TB","names":["TB"]}]
diff --git a/extensions/a11y/mathmaps/en/units/other.js b/extensions/a11y/mathmaps/en/units/other.js
deleted file mode 100644
index 1822756e3f..0000000000
--- a/extensions/a11y/mathmaps/en/units/other.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"dozen"}},"key":"doz","names":["doz","doz.","dz","dz."]},{"category":"","mappings":{"default":{"default":"square"}},"key":"sq","names":["sq","sq."]},{"category":"","mappings":{"default":{"default":"hectare"}},"key":"ha","names":["ha"]}]
diff --git a/extensions/a11y/mathmaps/en/units/speed.js b/extensions/a11y/mathmaps/en/units/speed.js
deleted file mode 100644
index 30d2f71a6d..0000000000
--- a/extensions/a11y/mathmaps/en/units/speed.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"knot"}},"key":"kt","names":["kt","kt."]},{"category":"","mappings":{"default":{"default":"miles per hour"}},"key":"mph","names":["mph"]},{"category":"","mappings":{"default":{"default":"revolutions per minute"}},"key":"rpm","names":["rpm"]},{"category":"","mappings":{"default":{"default":"kilometers per hour"}},"key":"kmh","names":["kmh"]}]
diff --git a/extensions/a11y/mathmaps/en/units/temperature.js b/extensions/a11y/mathmaps/en/units/temperature.js
deleted file mode 100644
index 24aca14095..0000000000
--- a/extensions/a11y/mathmaps/en/units/temperature.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"Fahrenheit"}},"key":"F","names":["F","F.","°F"]},{"category":"","mappings":{"default":{"default":"Celsius","alternative":"Centigrade"}},"key":"C","names":["C","°C"]},{"category":"","mappings":{"default":{"default":"Kelvin"}},"key":"K","names":["K","°K"]}]
diff --git a/extensions/a11y/mathmaps/en/units/time.js b/extensions/a11y/mathmaps/en/units/time.js
deleted file mode 100644
index 3eed73c759..0000000000
--- a/extensions/a11y/mathmaps/en/units/time.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"time","mappings":{"default":{"default":"nanoseconds"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"microseconds"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"milliseconds"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"seconds"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"minutes"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"hours"}},"key":"h","names":["h","hr"]}]
diff --git a/extensions/a11y/mathmaps/en/units/volume.js b/extensions/a11y/mathmaps/en/units/volume.js
deleted file mode 100644
index 842eb005a5..0000000000
--- a/extensions/a11y/mathmaps/en/units/volume.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"volume","mappings":{"default":{"default":"barrels"}},"key":"bbl","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"cubics"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"fluid ounces"}},"key":"fl. oz.","names":["fl. oz."]},{"category":"volume","mappings":{"default":{"default":"gallons"}},"key":"gal","names":["gal","gal."]},{"category":"volume","mappings":{"default":{"default":"pints"}},"key":"pt","names":["pt","pt."]},{"category":"volume","mappings":{"default":{"default":"quarts"}},"key":"qt","names":["qt","qt."]},{"category":"volume","mappings":{"default":{"default":"tablespoons"}},"key":"tbsp","names":["tbsp","tbsp."]},{"category":"volume","mappings":{"default":{"default":"teaspoons"}},"key":"tsp","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"cubic centimeters"}},"key":"cc","names":["cc"]},{"category":"volume","mappings":{"default":{"default":"kiloliters"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"liters"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"milliliters"}},"key":"ml","names":["ml"]}]
diff --git a/extensions/a11y/mathmaps/en/units/weight.js b/extensions/a11y/mathmaps/en/units/weight.js
deleted file mode 100644
index 5eb7af23af..0000000000
--- a/extensions/a11y/mathmaps/en/units/weight.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"pounds"}},"key":"lb","names":["lb","lb."]},{"category":"","mappings":{"default":{"default":"long tons"}},"key":"LT","names":["LT","L.T."]},{"category":"","mappings":{"default":{"default":"ounces"}},"key":"oz","names":["oz","oz."]},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"micrograms"}}},{"category":"","mappings":{"default":{"default":"grams"}},"key":"gr","names":["g","gr"]},{"category":"","mappings":{"default":{"default":"kilograms"}},"key":"kg","names":["kg"]},{"category":"","mappings":{"default":{"default":"micrograms"}},"key":"mcg","names":["mg","µg"]},{"category":"","mappings":{"default":{"default":"milligrams"}},"key":"mg","names":["mg"]},{"category":"","mappings":{"default":{"default":"tons"}},"key":"t","names":["t","T"]}]
diff --git a/extensions/a11y/mathmaps/es.js b/extensions/a11y/mathmaps/es.js
new file mode 100644
index 0000000000..3b6b2182c2
--- /dev/null
+++ b/extensions/a11y/mathmaps/es.js
@@ -0,0 +1,104 @@
+{
+"es/functions/algebra.js": 
+[{"locale":"es"},{"key":"deg","names":["deg"],"mappings":{"default":{"default":"grados"}},"category":"Algebra"},{"key":"det","names":["det"],"mappings":{"default":{"default":"determinante"}},"category":"Algebra"},{"key":"dim","names":["dim"],"mappings":{"default":{"default":"dimensión"}},"category":"Algebra"},{"key":"hom","names":["hom","Hom"],"mappings":{"default":{"default":"homomorfismo"}},"category":"Algebra"},{"key":"ker","names":["ker"],"mappings":{"default":{"default":"kernel"}},"category":"Algebra"},{"key":"Tr","names":["Tr","tr"],"mappings":{"default":{"default":"traza"}},"category":"Algebra"}]
+,
+"es/functions/elementary.js": 
+[{"locale":"es"},{"key":"log","names":["log"],"mappings":{"default":{"default":"logaritmo"}},"category":"Logarithm"},{"key":"ln","names":["ln"],"mappings":{"default":{"default":"logaritmo neperiano"}},"category":"Logarithm"},{"key":"lg","names":["lg"],"mappings":{"default":{"default":"logaritmo base 10"}},"category":"Logarithm"},{"key":"exp","names":["exp","expt"],"mappings":{"default":{"default":"exponente"}},"category":"Elementary"},{"key":"gcd","names":["gcd","mcd","MCD"],"mappings":{"default":{"default":"MCD"}},"category":"Elementary"},{"key":"lcm","names":["lcm","mcm","MCM"],"mappings":{"default":{"default":"mcm"}},"category":"Elementary"},{"key":"arg","names":["arg"],"mappings":{"default":{"default":"argumento"}},"category":"Complex"},{"key":"im","names":["im"],"mappings":{"default":{"default":"parte imaginaria"}},"category":"Complex"},{"key":"re","names":["re"],"mappings":{"default":{"default":"residuo"}},"category":"Complex"},{"key":"inf","names":["inf"],"mappings":{"default":{"default":"extremo inferior"}},"category":"Limits"},{"key":"lim","names":["lim"],"mappings":{"default":{"default":"límite"}},"category":"Limits"},{"key":"max","names":["max"],"mappings":{"default":{"default":"máximo"}},"category":"Limits"},{"key":"min","names":["min"],"mappings":{"default":{"default":"mínimo"}},"category":"Limits"},{"key":"sup","names":["sup"],"mappings":{"default":{"default":"superior"}},"category":"Limits"},{"key":"lim inf","names":["lim inf","liminf"],"mappings":{"default":{"default":"límite inferior"}},"category":"Limits"},{"key":"lim sup","names":["lim sup","limsup"],"mappings":{"default":{"default":"límite superior"}},"category":"Limits"},{"key":"injlim","names":["injlim","inj lim"],"mappings":{"default":{"default":"límite directo"}},"category":"Limits"},{"key":"projlim","names":["projlim","proj lim"],"mappings":{"default":{"default":"límite inverso"}},"category":"Limits"},{"key":"mod","names":["mod"],"mappings":{"default":{"default":"módulo"}},"category":"Elementary"},{"key":"Pr","names":["Pr"],"mappings":{"default":{"default":"probabilidad"}},"category":"Probability"}]
+,
+"es/functions/hyperbolic.js": 
+[{"locale":"es"},{"key":"cosh","names":["cosh"],"mappings":{"default":{"default":"coseno hiperbólico"}},"category":"Hyperbolic"},{"key":"coth","names":["coth"],"mappings":{"default":{"default":"cotangente hiperbólica"}},"category":"Hyperbolic"},{"key":"csch","names":["csch"],"mappings":{"default":{"default":"cosecante hiperbólica"}},"category":"Hyperbolic"},{"key":"sech","names":["sech"],"mappings":{"default":{"default":"secante hiperbólica"}},"category":"Hyperbolic"},{"key":"sinh","names":["sinh"],"mappings":{"default":{"default":"seno hiperbólico"}},"category":"Hyperbolic"},{"key":"tanh","names":["tanh"],"mappings":{"default":{"default":"tangente hiperbólica"}},"category":"Hyperbolic"},{"key":"arcosh","names":["arcosh","arccosh"],"mappings":{"default":{"default":"area coseno hiperbólico"}},"category":"Area"},{"key":"arcoth","names":["arcoth","arccoth"],"mappings":{"default":{"default":"area cotangente hiperbólica"}},"category":"Area"},{"key":"arcsch","names":["arcsch","arccsch"],"mappings":{"default":{"default":"area cosecante hiperbólica"}},"category":"Area"},{"key":"arsech","names":["arsech","arcsech"],"mappings":{"default":{"default":"area secante hiperbólica"}},"category":"Area"},{"key":"arsinh","names":["arsinh","arcsinh"],"mappings":{"default":{"default":"area seno hiperbólico"}},"category":"Area"},{"key":"artanh","names":["artanh","arctanh"],"mappings":{"default":{"default":"area tangente hiperbólica"}},"category":"Area"}]
+,
+"es/functions/trigonometry.js": 
+[{"locale":"es"},{"key":"cos","names":["cos","cosine"],"mappings":{"default":{"default":"coseno"}},"category":"Trigonometric"},{"key":"cot","names":["cot"],"mappings":{"default":{"default":"cotangente"}},"category":"Trigonometric"},{"key":"csc","names":["csc"],"mappings":{"default":{"default":"cosecante"}},"category":"Trigonometric"},{"key":"sec","names":["sec"],"mappings":{"default":{"default":"secant"}},"category":"Trigonometric"},{"key":"sin","names":["sin","sine","sen"],"mappings":{"default":{"default":"seno"}},"category":"Trigonometric"},{"key":"tan","names":["tan"],"mappings":{"default":{"default":"tangente"}},"category":"Trigonometric"},{"key":"arccos","names":["arccos"],"mappings":{"default":{"default":"arco coseno"}},"category":"Cyclometric"},{"key":"arccot","names":["arccot"],"mappings":{"default":{"default":"arco cotangente"}},"category":"Cyclometric"},{"key":"arccsc","names":["arccsc"],"mappings":{"default":{"default":"arco cosecante"}},"category":"Cyclometric"},{"key":"arcsec","names":["arcsec"],"mappings":{"default":{"default":"arco secante"}},"category":"Cyclometric"},{"key":"arcsin","names":["arcsin"],"mappings":{"default":{"default":"arco seno"}},"category":"Cyclometric"},{"key":"arctan","names":["arctan"],"mappings":{"default":{"default":"arco tangente"}},"category":"Cyclometric"}]
+,
+"es/symbols/digits_rest.js": 
+[{"locale":"es"},{"category":"No","mappings":{"default":{"default":"al cuadrado"},"mathspeak":{"default":"al cuadrado"},"clearspeak":{"default":"al cuadrado"}},"key":"00B2"},{"category":"No","mappings":{"default":{"default":"al cubo"},"mathspeak":{"default":"al cubo"},"clearspeak":{"default":"al cubo"}},"key":"00B3"},{"category":"No","mappings":{"default":{"default":"un cuarto"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"un medio"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"tres cuartos"}},"key":"00BE"},{"category":"No","key":"2150","mappings":{"default":{"default":"Vulgar Fracción Un Séptimo"}}},{"category":"No","key":"2151","mappings":{"default":{"default":"Vulgar Fracción Un Noveno"}}},{"category":"No","key":"2152","mappings":{"default":{"default":"Vulgar Fracción Un Décimo"}}},{"category":"No","key":"2153","mappings":{"default":{"default":"Vulgar Fracción Un Tercero"}}},{"category":"No","key":"2154","mappings":{"default":{"default":"Fracción vulgar dos tercios"}}},{"category":"No","key":"2155","mappings":{"default":{"default":"Vulgar Fraction One Fifth"}}},{"category":"No","key":"2156","mappings":{"default":{"default":"Fracción vulgar dos quintos"}}},{"category":"No","key":"2157","mappings":{"default":{"default":"Fracción vulgar tres quintos"}}},{"category":"No","key":"2158","mappings":{"default":{"default":"Fracción vulgar cuatro quintos"}}},{"category":"No","key":"2159","mappings":{"default":{"default":"Vulgar Fracción Un Sexto"}}},{"category":"No","key":"215A","mappings":{"default":{"default":"Vulgar fracción cinco sextos"}}},{"category":"No","key":"215B","mappings":{"default":{"default":"Vulgar Fracción Un Octavo"}}},{"category":"No","key":"215C","mappings":{"default":{"default":"Fracción vulgar tres octavos"}}},{"category":"No","key":"215D","mappings":{"default":{"default":"Fracción vulgar cinco octavos"}}},{"category":"No","key":"215E","mappings":{"default":{"default":"Fracción vulgar siete octavos"}}},{"category":"No","key":"215F","mappings":{"default":{"default":"Numerador de fracciones uno"}}},{"category":"No","key":"2189","mappings":{"default":{"default":"Vulgar Fraction Zero Thirds"}}},{"category":"No","key":"3248","mappings":{"default":{"default":"Número diez en un círculo en la Plaza Negra"}}},{"category":"No","key":"3249","mappings":{"default":{"default":"Número veinte en un círculo en la Plaza Negra"}}},{"category":"No","key":"324A","mappings":{"default":{"default":"Número circundado treinta en cuadrado negro"}}},{"category":"No","key":"324B","mappings":{"default":{"default":"Número circundado Cuarenta en cuadrado negro"}}},{"category":"No","key":"324C","mappings":{"default":{"default":"Círculo número cincuenta en la plaza negra"}}},{"category":"No","key":"324D","mappings":{"default":{"default":"Círculo número sesenta en la plaza negra"}}},{"category":"No","key":"324E","mappings":{"default":{"default":"Número setenta en un círculo en la Plaza Negra"}}},{"category":"No","key":"324F","mappings":{"default":{"default":"Círculo número ochenta en cuadrado negro"}}}]
+,
+"es/symbols/greek-rest.js": 
+[{"locale":"es"},{"category":"Lu","key":"0394","mappings":{"clearspeak":{"default":"triangle","TriangleSymbol_Delta":"cap Delta"}}}]
+,
+"es/symbols/greek-scripts.js": 
+[{"locale":"es"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"pequeño mayúscula gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"pequeña mayúscula lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"pequeña mayúscula Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"pequeña mayúscula Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"pequeña mayúscula Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"modificador de pequeño gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"modificador de pequeño phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"subscripción pequeña beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"subíndice pequeña gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"subíndice rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"subíndice phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"subscripción chi"}}}]
+,
+"es/symbols/greek-symbols.js": 
+[{"locale":"es"},{"key":"03D0","mappings":{"default":{"default":"símbolo beta"}},"category":"Ll"},{"key":"03D7","mappings":{"default":{"default":"símbolo kai griego"}},"category":"Ll"},{"key":"03F6","mappings":{"default":{"default":"épsilon invertido"}},"category":"Sm"},{"category":"Lu","key":"1D7CA","mappings":{"default":{"default":"Matemática Bold Capital Digamma"}}},{"category":"Ll","key":"1D7CB","mappings":{"default":{"default":"Matemática negrita pequeño digamma"}}}]
+,
+"es/symbols/hebrew_letters.js": 
+[{"locale":"es"},{"key":"2135","mappings":{"default":{"default":"alef"}},"category":"Lo"},{"key":"2136","mappings":{"default":{"default":"bet"}},"category":"Lo"},{"key":"2137","mappings":{"default":{"default":"guímel"}},"category":"Lo"},{"key":"2138","mappings":{"default":{"default":"dálet"}},"category":"Lo"}]
+,
+"es/symbols/latin-lower-double-accent.js": 
+[{"locale":"es"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u con diéresis y macron"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u con diéresis y acento agudo"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u con diéresis y acento"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u con diéresis y grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a con diéresis y macron"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a con punto arriba y macron"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o con pecíolo y macron"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a con ring above y acento agudo"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o con diéresis y macron"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o con tilde y macron"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o con Dot Above y Macron"}}},{"key":"1E09","mappings":{"default":{"default":"c con cedilla y agudo"}},"category":"Ll"},{"key":"1E15","mappings":{"default":{"default":"e con macrón y grave"}},"category":"Ll"},{"key":"1E17","mappings":{"default":{"default":"e con macrón y agudo"}},"category":"Ll"},{"key":"1E1D","mappings":{"default":{"default":"e con cedilla y breve"}},"category":"Ll"},{"key":"1E2F","mappings":{"default":{"default":"i con diéresis y agudo"}},"category":"Ll"},{"key":"1E39","mappings":{"default":{"default":"l con punto debajo y macrón"}},"category":"Ll"},{"key":"1E4D","mappings":{"default":{"default":"o con tilde y acute"}},"category":"Ll"},{"key":"1E4F","mappings":{"default":{"default":"o con tilde y diéresis"}},"category":"Ll"},{"key":"1E51","mappings":{"default":{"default":"o con macrón y grave"}},"category":"Ll"},{"key":"1E53","mappings":{"default":{"default":"o con macrón y agudo"}},"category":"Ll"},{"key":"1E5D","mappings":{"default":{"default":"r con punto debajo y macrón"}},"category":"Ll"},{"key":"1E65","mappings":{"default":{"default":"s con agudo y punto arriba"}},"category":"Ll"},{"key":"1E67","mappings":{"default":{"default":"s con carón y punto arriba"}},"category":"Ll"},{"key":"1E69","mappings":{"default":{"default":"s con punto debajo y punto arriba"}},"category":"Ll"},{"key":"1E79","mappings":{"default":{"default":"u con tilde y agudo"}},"category":"Ll"},{"key":"1E7B","mappings":{"default":{"default":"u con macrón y diéresis"}},"category":"Ll"},{"key":"1EA5","mappings":{"default":{"default":"a con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EA7","mappings":{"default":{"default":"a con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EA9","mappings":{"default":{"default":"a con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EAB","mappings":{"default":{"default":"a con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EAD","mappings":{"default":{"default":"a con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EAF","mappings":{"default":{"default":"a con breve y agudo"}},"category":"Ll"},{"key":"1EB1","mappings":{"default":{"default":"a con breve y grave"}},"category":"Ll"},{"key":"1EB3","mappings":{"default":{"default":"a con breve y gancho arriba"}},"category":"Ll"},{"key":"1EB5","mappings":{"default":{"default":"a con breve y tilde"}},"category":"Ll"},{"key":"1EB7","mappings":{"default":{"default":"a con breve y punto debajo"}},"category":"Ll"},{"key":"1EBF","mappings":{"default":{"default":"e con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EC1","mappings":{"default":{"default":"e con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EC3","mappings":{"default":{"default":"e con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EC5","mappings":{"default":{"default":"e con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EC7","mappings":{"default":{"default":"e con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1ED1","mappings":{"default":{"default":"o con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1ED3","mappings":{"default":{"default":"o con acento circunflejo y grave"}},"category":"Ll"},{"key":"1ED5","mappings":{"default":{"default":"o con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1ED7","mappings":{"default":{"default":"o con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1ED9","mappings":{"default":{"default":"o con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EDB","mappings":{"default":{"default":"o with horn and acute"}},"category":"Ll"},{"key":"1EDD","mappings":{"default":{"default":"o with horn and grave"}},"category":"Ll"},{"key":"1EDF","mappings":{"default":{"default":"o with horn and hook above"}},"category":"Ll"},{"key":"1EE1","mappings":{"default":{"default":"o with horn and tilde"}},"category":"Ll"},{"key":"1EE3","mappings":{"default":{"default":"o con cuerno y punto debajo"}},"category":"Ll"},{"key":"1EE9","mappings":{"default":{"default":"u con cuerno y agudo"}},"category":"Ll"},{"key":"1EEB","mappings":{"default":{"default":"u con cuerno y grave"}},"category":"Ll"},{"key":"1EED","mappings":{"default":{"default":"u con cuerno y gancho arriba"}},"category":"Ll"},{"key":"1EEF","mappings":{"default":{"default":"u con cuerno y tilde"}},"category":"Ll"},{"key":"1EF1","mappings":{"default":{"default":"u con cuerno y punto debajo"}},"category":"Ll"}]
+,
+"es/symbols/latin-lower-phonetic.js": 
+[{"locale":"es"},{"key":"00F8","mappings":{"default":{"default":"o barrada"}},"category":"Ll"},{"key":"0111","mappings":{"default":{"default":"d con barra"}},"category":"Ll"},{"key":"0127","mappings":{"default":{"default":"h con guión"}},"category":"Ll"},{"key":"0142","mappings":{"default":{"default":"l con guión"}},"category":"Ll"},{"key":"0167","mappings":{"default":{"default":"t con guión"}},"category":"Ll"},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b con línea"}}},{"key":"019B","mappings":{"default":{"default":"lambda tachada"}},"category":"Ll"},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z con línea"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"parada glotal invertida con línea"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g con línea"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o con línea y acento agudo"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c con trazo"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"pequeña e con trazo"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j con trazo"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"con trazo"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y con trazo"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"pequeña sin puntos j con trazo"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i con trazo"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"pequeña sin puntos j con trazo y gancho"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"parada glotal con trazo"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"parada invertida glotal con trazo"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"de lado O con trazo"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota con trazo"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p con trazo"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon con trazo"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"larga s con trazo diagonal"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"pequeña s larga con trazo alto"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"delta convertido"}}},{"key":"1E9B","mappings":{"default":{"default":"s larga con punto arriba"}},"category":"Ll"},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta pequeña latina"}}},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"category":"Ll","key":"017F","mappings":{"default":{"default":"s larga"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b con barra encima"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"tono seis"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c con gancho"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d con barra encima"}}},{"key":"0192","mappings":{"default":{"default":"f con gancho"}},"category":"Ll"},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k con gancho"}}},{"key":"019A","mappings":{"default":{"default":"l con barra"}},"category":"Ll"},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n con pierna derecha larga"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o con cuerno"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p con gancho"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"dos tonos"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"latin letter invertido Esh bucle"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t con palatal gancho"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t con gancho"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u con horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y con gancho"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"ezh invertido"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ezh con cola"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"tono cinco"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz con acento"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae con macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ezh con acento"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"latín letra pequeña yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lezh letra pequeña latina"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"pequeña Ezh con Curl"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"latín letra pequeña Dezh Digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"e convertido"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae con acento agudo"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d con rizo"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z con gancho"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l con rizo"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n con rizo"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t con rizo"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"letra pequeña latina db digraph"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"latín letra pequeña Qp Digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s con cola cruzada"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z con cola swash"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"latín letra pequeña parada glotal"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q con cola de gancho"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"convertida en una"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alfa minúscula latina"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"convertida en alfa"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b con gancho"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"abierta o"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c con rizo"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d con cola"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d con gancho"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"invertida E"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"pequeña Schwa con gancho"}}},{"key":"025B","mappings":{"default":{"default":"e abierta"}},"category":"Ll"},{"category":"Ll","key":"025C","mappings":{"default":{"default":"invertida abierta E"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"letra pequeña latina invertida E abierta con gancho"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"cerrada invertida abierta E"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g con gancho"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"escritura latina de letras pequeñas G"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"latín letra pequeña gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"cuerno de carnero de letra pequeña latina"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"girada h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h con gancho"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"pequeña letra latina Heng con gancho"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"latín letra minúscula Iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l con tilde medio"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l con cinturón"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"letra L latina pequeña con gancho Retroflex"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"girada m"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"vuelta M con pierna larga"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m con gancho"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n con gancho izquierdo"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n con gancho retroflex"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"letra minúscula omega"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"latin Small Letter Closed Omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"Letra pequeña latina"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"vuelta r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"vuelta R con pierna larga"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"vuelta R con gancho"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"R con pierna larga"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"R con cola"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"R con anzuelo"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"invertida R con anzuelo"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"S con gancho"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"Pequeña letra latina esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"Latín letra pequeña en cuclillas invertida Esh"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"Esh minúscula latina con rizo"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"vuelta t"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"T con gancho retroflex"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"Letra de letra pequeña latina U"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"Upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"V con gancho"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"convertida V"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"girada w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"vuelta y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"Z con gancho retroflex"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z con rizo"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"faríngea con voz fricativa"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"invertida parada glotal"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"estirada c"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"Carta Bilabial Click"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"cerrada abierta e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"vuelta k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q con gancho"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"pequeña letra Dz Digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"Letra pequeña latina Dz Digraph con Curl"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"Latín letra pequeña Ts Digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"Letra pequeña latina Tesh Digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"Latín letra pequeña Tc Digraph con Curl"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"Letra pequeña latina Feng Digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"pequeña letra Ls Digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"pequeña letra Lz Digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"percusion bilabial"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"de percusión bidental"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"convertida en H con anzuelo"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"convertida en H con anzuelo y cola"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"vuelta ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"convertida abierta E"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"convertida i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"de lado O"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"de lado abierto O"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"vuelta oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"mitad superior O"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"Letra latina, letra inferior, mitad inferior O"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"hacia los lados U"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"de lado diaeresizada U"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"girada hacia los lados M"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"Carta latina expresada espirante laríngeo"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"B con tilde medio"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"D con tilde medio"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"F con tilde medio"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"M con tilde medio"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"N con tilde medio"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"P con tilde medio"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"R con tilde medio"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"R con anzuelo y tilde medio"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"S con tilde medio"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"T con tilde medio"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z con tilde media"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"girada g"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"insular g"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th con tachado"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"B con gancho palatal"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"D con gancho palatal"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"F con gancho palatino"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"G con gancho palatal"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"K con gancho palatino"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"L con gancho palatino"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"M con gancho palatino"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"N con gancho palatal"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"P con gancho palatino"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"R con gancho palatal"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"S con gancho palatal"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"Pequeña letra latina Esh con gancho palatal"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"V con gancho palatal"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"X con gancho palatal"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"Z con gancho palatal"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a con gancho retroflex"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"Alfa latina pequeña letra con gancho retroflex"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"D con gancho y cola"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"pequeña E con gancho retroflex"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"E Pequeña Open con Gancho Retroflex"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"E abierta invertido con gancho retroflex"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"pequeña Schwa con gancho retroflex"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"I con gancho retroflex"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"pequeña latina Open O con gancho retroflex"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"Esh de letra pequeña latina con gancho retroflex"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"U con gancho retroflex"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"pequeña Ezh con gancho retroflex"}}},{"key":"0149","mappings":{"default":{"default":"n precedida por apóstrofe"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
+,
+"es/symbols/latin-lower-single-accent.js": 
+[{"locale":"es"},{"key":"00E0","mappings":{"default":{"default":"a grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a aguda"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a acento circunflejo"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a con tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a diéresis"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a con anillo"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c cedilla"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e aguda"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e acento circunflejo"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e diéresis"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i aguda"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i acento circunflejo"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i diéresis"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"eñe"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o aguda"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o acento circunflejo"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o con tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o diéresis"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u aguda"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u acento circunflejo"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u diéresis"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"Y aguda","defaultMP":"ye aguda"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y diéresis","defaultMP":"ye diéresis"}},"category":"Ll"},{"key":"0101","mappings":{"default":{"default":"a barra"}},"category":"Ll"},{"key":"0103","mappings":{"default":{"default":"a con breve"}},"category":"Ll"},{"key":"0105","mappings":{"default":{"default":"a con ogonek"}},"category":"Ll"},{"key":"0107","mappings":{"default":{"default":"c con agudo"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c con acento circunflejo"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c con punto arriba"}},"category":"Ll"},{"key":"010D","mappings":{"default":{"default":"c con carón"}},"category":"Ll"},{"key":"010F","mappings":{"default":{"default":"d con carón"}},"category":"Ll"},{"key":"0113","mappings":{"default":{"default":"e barra"}},"category":"Ll"},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e con breve"}}},{"key":"0117","mappings":{"default":{"default":"e con punto arriba"}},"category":"Ll"},{"key":"0119","mappings":{"default":{"default":"e con ogonek"}},"category":"Ll"},{"key":"011B","mappings":{"default":{"default":"e con carón"}},"category":"Ll"},{"key":"011D","mappings":{"default":{"default":"g con acento circunflejo"}},"category":"Ll"},{"key":"011F","mappings":{"default":{"default":"g con breve"}},"category":"Ll"},{"key":"0121","mappings":{"default":{"default":"g con punto arriba"}},"category":"Ll"},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g con cedilla"}}},{"key":"0125","mappings":{"default":{"default":"h con acento circunflejo"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i con tilde"}},"category":"Ll"},{"key":"012B","mappings":{"default":{"default":"i barra"}},"category":"Ll"},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i con breve"}}},{"key":"012F","mappings":{"default":{"default":"i con ogonek"}},"category":"Ll"},{"key":"0131","mappings":{"default":{"default":"i sin punto"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j con acento circunflejo"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k con cedilla"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l con agudo"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l con cedilla"}},"category":"Ll"},{"key":"013E","mappings":{"default":{"default":"l con carón"}},"category":"Ll"},{"key":"0140","mappings":{"default":{"default":"l con punto mediano"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n con agudo"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n con cedilla"}},"category":"Ll"},{"key":"0148","mappings":{"default":{"default":"n con carón"}},"category":"Ll"},{"key":"014D","mappings":{"default":{"default":"o barra"}},"category":"Ll"},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o con breve"}}},{"key":"0151","mappings":{"default":{"default":"o con doble acento agudo"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r con agudo"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r con cedilla"}},"category":"Ll"},{"key":"0159","mappings":{"default":{"default":"r con carón"}},"category":"Ll"},{"key":"015B","mappings":{"default":{"default":"s con agudo"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s con acento circunflejo"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s con cedilla"}},"category":"Ll"},{"key":"0161","mappings":{"default":{"default":"s con carón"}},"category":"Ll"},{"key":"0163","mappings":{"default":{"default":"t con cedilla"}},"category":"Ll"},{"key":"0165","mappings":{"default":{"default":"t con carón"}},"category":"Ll"},{"key":"0169","mappings":{"default":{"default":"u con tilde"}},"category":"Ll"},{"key":"016B","mappings":{"default":{"default":"u barra"}},"category":"Ll"},{"key":"016D","mappings":{"default":{"default":"u con breve"}},"category":"Ll"},{"key":"016F","mappings":{"default":{"default":"u con anillo arriba"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u con doble acento agudo"}},"category":"Ll"},{"key":"0173","mappings":{"default":{"default":"u con ogonek"}},"category":"Ll"},{"key":"0175","mappings":{"default":{"default":"w con circunflejo"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y con circunflejo"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z con agudo"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z con punto"}},"category":"Ll"},{"key":"017E","mappings":{"default":{"default":"z con carón"}},"category":"Ll"},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a con acento"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i con acento"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o con acento"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u con acento"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g con acento"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k con acento"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o con pecíolo"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j con acento"}}},{"key":"01F5","mappings":{"default":{"default":"g con agudo"}},"category":"Ll"},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n con grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a con doble tumba"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a con letras invertidas"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e con doble tumba"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e con letras invertidas"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i con doble tumba"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i con Breve invertida"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o con doble tumba"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o con letras invertidas"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r con doble sepulcro"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r con letras invertidas"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u con doble tumba"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u con letras invertidas"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s con coma debajo"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t con coma debajo"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h con caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"con un punto arriba"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e con cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o con punto arriba"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y con Macron"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"s in punto j"}}},{"key":"1E01","mappings":{"default":{"default":"a con anillo debajo"}},"category":"Ll"},{"key":"1E03","mappings":{"default":{"default":"b con punto arriba"}},"category":"Ll"},{"key":"1E05","mappings":{"default":{"default":"b con punto debajo"}},"category":"Ll"},{"key":"1E07","mappings":{"default":{"default":"b con línea debajo"}},"category":"Ll"},{"key":"1E0B","mappings":{"default":{"default":"d con punto arriba"}},"category":"Ll"},{"key":"1E0D","mappings":{"default":{"default":"d con punto debajo"}},"category":"Ll"},{"key":"1E0F","mappings":{"default":{"default":"d con línea debajo"}},"category":"Ll"},{"key":"1E11","mappings":{"default":{"default":"d con cedilla"}},"category":"Ll"},{"key":"1E13","mappings":{"default":{"default":"d con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E19","mappings":{"default":{"default":"e con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E1B","mappings":{"default":{"default":"e con tilde debajo"}},"category":"Ll"},{"key":"1E1F","mappings":{"default":{"default":"f con punto arriba"}},"category":"Ll"},{"key":"1E21","mappings":{"default":{"default":"g con macrón"}},"category":"Ll"},{"key":"1E23","mappings":{"default":{"default":"h con punto arriba"}},"category":"Ll"},{"key":"1E25","mappings":{"default":{"default":"h con punto debajo"}},"category":"Ll"},{"key":"1E27","mappings":{"default":{"default":"h con diéresis"}},"category":"Ll"},{"key":"1E29","mappings":{"default":{"default":"h con cedilla"}},"category":"Ll"},{"key":"1E2B","mappings":{"default":{"default":"h con breve debajo"}},"category":"Ll"},{"key":"1E2D","mappings":{"default":{"default":"i con tilde debajo"}},"category":"Ll"},{"key":"1E31","mappings":{"default":{"default":"k con agudo"}},"category":"Ll"},{"key":"1E33","mappings":{"default":{"default":"k con punto debajo"}},"category":"Ll"},{"key":"1E35","mappings":{"default":{"default":"k con línea debajo"}},"category":"Ll"},{"key":"1E37","mappings":{"default":{"default":"l con punto debajo"}},"category":"Ll"},{"key":"1E3B","mappings":{"default":{"default":"l con línea debajo"}},"category":"Ll"},{"key":"1E3D","mappings":{"default":{"default":"l con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E3F","mappings":{"default":{"default":"m con agudo"}},"category":"Ll"},{"key":"1E41","mappings":{"default":{"default":"m con punto arriba"}},"category":"Ll"},{"key":"1E43","mappings":{"default":{"default":"m con punto debajo"}},"category":"Ll"},{"key":"1E45","mappings":{"default":{"default":"n con punto arriba"}},"category":"Ll"},{"key":"1E47","mappings":{"default":{"default":"n con punto debajo"}},"category":"Ll"},{"key":"1E49","mappings":{"default":{"default":"n con línea debajo"}},"category":"Ll"},{"key":"1E4B","mappings":{"default":{"default":"n con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E55","mappings":{"default":{"default":"p con agudo"}},"category":"Ll"},{"key":"1E57","mappings":{"default":{"default":"p con punto arriba"}},"category":"Ll"},{"key":"1E59","mappings":{"default":{"default":"r con punto arriba"}},"category":"Ll"},{"key":"1E5B","mappings":{"default":{"default":"r con punto debajo"}},"category":"Ll"},{"key":"1E5F","mappings":{"default":{"default":"r con línea debajo"}},"category":"Ll"},{"key":"1E61","mappings":{"default":{"default":"s con punto arriba"}},"category":"Ll"},{"key":"1E63","mappings":{"default":{"default":"s con punto debajo"}},"category":"Ll"},{"key":"1E6B","mappings":{"default":{"default":"t con punto arriba"}},"category":"Ll"},{"key":"1E6D","mappings":{"default":{"default":"t con punto debajo"}},"category":"Ll"},{"key":"1E6F","mappings":{"default":{"default":"t con línea debajo"}},"category":"Ll"},{"key":"1E71","mappings":{"default":{"default":"t con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E73","mappings":{"default":{"default":"u con diéresis debajo"}},"category":"Ll"},{"key":"1E75","mappings":{"default":{"default":"u con tilde debajo"}},"category":"Ll"},{"key":"1E77","mappings":{"default":{"default":"u con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E7D","mappings":{"default":{"default":"v con tilde"}},"category":"Ll"},{"key":"1E7F","mappings":{"default":{"default":"v con punto debajo"}},"category":"Ll"},{"key":"1E81","mappings":{"default":{"default":"w con grave"}},"category":"Ll"},{"key":"1E83","mappings":{"default":{"default":"w con agudo"}},"category":"Ll"},{"key":"1E85","mappings":{"default":{"default":"w con diéresis"}},"category":"Ll"},{"key":"1E87","mappings":{"default":{"default":"w con punto arriba"}},"category":"Ll"},{"key":"1E89","mappings":{"default":{"default":"w con punto debajo"}},"category":"Ll"},{"key":"1E8B","mappings":{"default":{"default":"x con punto arriba"}},"category":"Ll"},{"key":"1E8D","mappings":{"default":{"default":"x con diéresis"}},"category":"Ll"},{"key":"1E8F","mappings":{"default":{"default":"y con punto arriba"}},"category":"Ll"},{"key":"1E91","mappings":{"default":{"default":"z con acento circunflejo"}},"category":"Ll"},{"key":"1E93","mappings":{"default":{"default":"z con punto debajo"}},"category":"Ll"},{"key":"1E95","mappings":{"default":{"default":"z con línea debajo"}},"category":"Ll"},{"key":"1E96","mappings":{"default":{"default":"h con línea debajo"}},"category":"Ll"},{"key":"1E97","mappings":{"default":{"default":"t con diéresis"}},"category":"Ll"},{"key":"1E98","mappings":{"default":{"default":"w con anillo arriba"}},"category":"Ll"},{"key":"1E99","mappings":{"default":{"default":"y con anillo arriba"}},"category":"Ll"},{"key":"1E9A","mappings":{"default":{"default":"a con medio derecho de anillo"}},"category":"Ll"},{"key":"1EA1","mappings":{"default":{"default":"a con punto debajo"}},"category":"Ll"},{"key":"1EA3","mappings":{"default":{"default":"a con gancho arriba"}},"category":"Ll"},{"key":"1EB9","mappings":{"default":{"default":"e con punto debajo"}},"category":"Ll"},{"key":"1EBB","mappings":{"default":{"default":"e con gancho arriba"}},"category":"Ll"},{"key":"1EBD","mappings":{"default":{"default":"e con tilde"}},"category":"Ll"},{"key":"1EC9","mappings":{"default":{"default":"i con gancho arriba"}},"category":"Ll"},{"key":"1ECB","mappings":{"default":{"default":"i con punto debajo"}},"category":"Ll"},{"key":"1ECD","mappings":{"default":{"default":"o con punto debajo"}},"category":"Ll"},{"key":"1ECF","mappings":{"default":{"default":"o con gancho arriba"}},"category":"Ll"},{"key":"1EE5","mappings":{"default":{"default":"u con punto debajo"}},"category":"Ll"},{"key":"1EE7","mappings":{"default":{"default":"u con gancho arriba"}},"category":"Ll"},{"key":"1EF3","mappings":{"default":{"default":"y con grave"}},"category":"Ll"},{"key":"1EF5","mappings":{"default":{"default":"y con punto debajo"}},"category":"Ll"},{"key":"1EF7","mappings":{"default":{"default":"y con gancho arriba"}},"category":"Ll"},{"key":"1EF9","mappings":{"default":{"default":"y con tilde"}},"category":"Ll"}]
+,
+"es/symbols/latin-rest.js": 
+[{"locale":"es"},{"category":"Ll","key":"210E","mappings":{"default":{"default":"constante de planck"}}},{"category":"Mn","key":"0363","mappings":{"default":{"default":"combinando a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"combinando e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"combinando i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"combinando o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"combinando u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"combinando c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"combinando d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"combinando h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"combinando m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"combinando r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"combinando t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"combinando v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"combinando x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"subíndice i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"subíndice r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"subíndice u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"subíndice latino letra pequeña V"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"combinando r abajo"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"combinando letra minúscula en latín, aplanado, abierto arriba"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"combinando ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"combinando ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"combinando av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"combinando Letra Pequeña Latina C Cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"combinando insular d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"combinando la eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"combinando g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"combinando pequeña mayúscula G"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"combinando k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"combinando l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"combinando pequeña mayúscula L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"combinando pequeña mayúscula M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"combinando n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"combinando pequeña mayúscula N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"combinando pequeña mayúscula R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"combinando pequeña r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"combinando s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"combinando larga s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"combinando z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"superíndice i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"superíndice n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"subíndice a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"subíndice e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"subíndice o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"subíndice x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"subíndice schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"subíndice h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"subíndice k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"subíndice l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"subíndice m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"subíndice n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"subíndice p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"subíndice s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"subíndice t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"subíndice j"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"concha de tortuga con corchetes mayúscula S"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"círculo itálico mayúscula C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"círculo itálico mayúscula R"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"cruzada negativa cuadrada Mayúscula P"}}}]
+,
+"es/symbols/latin-upper-double-accent.js": 
+[{"locale":"es"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"mayúscula U con diéresis y macron"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"mayúscula U con diéresis y acento agudo"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"mayúscula U con diéresis y acento"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"mayúscula U con diéresis y grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"mayúscula A con diéresis y macron"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"mayúscula A con punto arriba y macron"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"mayúscula O con pecíolo y macron"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"mayúscula A con ring above y acento agudo"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"mayúscula O con diaéresis y macron"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"mayúscula O con tilde y macron"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"mayúscula O con dot above y macron"}}},{"key":"1E08","mappings":{"default":{"default":"mayúscula C con cedilla y agudo"}},"category":"Lu"},{"key":"1E14","mappings":{"default":{"default":"mayúscula E con macrón y grave"}},"category":"Lu"},{"key":"1E16","mappings":{"default":{"default":"mayúscula E con macrón y agudo"}},"category":"Lu"},{"key":"1E1C","mappings":{"default":{"default":"mayúscula E with cedilla and breve"}},"category":"Lu"},{"key":"1E2E","mappings":{"default":{"default":"mayúscula I con diéresis y agudo"}},"category":"Lu"},{"key":"1E38","mappings":{"default":{"default":"mayúscula L con punto debajo y macrón"}},"category":"Lu"},{"key":"1E4C","mappings":{"default":{"default":"mayúscula O con tilde y acute"}},"category":"Lu"},{"key":"1E4E","mappings":{"default":{"default":"mayúscula O con tilde y diéresis"}},"category":"Lu"},{"key":"1E50","mappings":{"default":{"default":"mayúscula O con macrón y grave"}},"category":"Lu"},{"key":"1E52","mappings":{"default":{"default":"mayúscula O con macrón y agudo"}},"category":"Lu"},{"key":"1E5C","mappings":{"default":{"default":"mayúscula R con punto debajo y macrón"}},"category":"Lu"},{"key":"1E64","mappings":{"default":{"default":"mayúscula S con agudo y punto arriba"}},"category":"Lu"},{"key":"1E66","mappings":{"default":{"default":"mayúscula S con carón y punto arriba"}},"category":"Lu"},{"key":"1E68","mappings":{"default":{"default":"mayúscula S con punto debajo y punto arriba"}},"category":"Lu"},{"key":"1E78","mappings":{"default":{"default":"mayúscula U con tilde y agudo"}},"category":"Lu"},{"key":"1E7A","mappings":{"default":{"default":"mayúscula U con macrón y diéresis"}},"category":"Lu"},{"key":"1EA4","mappings":{"default":{"default":"mayúscula A con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EA6","mappings":{"default":{"default":"mayúscula A con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EA8","mappings":{"default":{"default":"mayúscula A con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EAA","mappings":{"default":{"default":"mayúscula A con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EAC","mappings":{"default":{"default":"mayúscula A con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EAE","mappings":{"default":{"default":"mayúscula A con breve y agudo"}},"category":"Lu"},{"key":"1EB0","mappings":{"default":{"default":"mayúscula A con breve y grave"}},"category":"Lu"},{"key":"1EB2","mappings":{"default":{"default":"mayúscula A con breve y gancho arriba"}},"category":"Lu"},{"key":"1EB4","mappings":{"default":{"default":"mayúscula A con breve y tilde"}},"category":"Lu"},{"key":"1EB6","mappings":{"default":{"default":"mayúscula A con breve y punto debajo"}},"category":"Lu"},{"key":"1EBE","mappings":{"default":{"default":"mayúscula E con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EC0","mappings":{"default":{"default":"mayúscula E con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EC2","mappings":{"default":{"default":"mayúscula E con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EC4","mappings":{"default":{"default":"mayúscula E con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EC6","mappings":{"default":{"default":"mayúscula E con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1ED0","mappings":{"default":{"default":"mayúscula O con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1ED2","mappings":{"default":{"default":"mayúscula O con acento circunflejo y grave"}},"category":"Lu"},{"key":"1ED4","mappings":{"default":{"default":"mayúscula O con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1ED6","mappings":{"default":{"default":"mayúscula O con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1ED8","mappings":{"default":{"default":"mayúscula O con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EDA","mappings":{"default":{"default":"mayúscula O with horn and acute"}},"category":"Lu"},{"key":"1EDC","mappings":{"default":{"default":"mayúscula O with horn and grave"}},"category":"Lu"},{"key":"1EDE","mappings":{"default":{"default":"mayúscula O with horn and hook above"}},"category":"Lu"},{"key":"1EE0","mappings":{"default":{"default":"mayúscula O with horn and tilde"}},"category":"Lu"},{"key":"1EE2","mappings":{"default":{"default":"mayúscula O con cuerno y punto debajo"}},"category":"Lu"},{"key":"1EE8","mappings":{"default":{"default":"mayúscula U con cuerno y agudo"}},"category":"Lu"},{"key":"1EEA","mappings":{"default":{"default":"mayúscula U con cuerno y grave"}},"category":"Lu"},{"key":"1EEC","mappings":{"default":{"default":"mayúscula U con cuerno y gancho arriba"}},"category":"Lu"},{"key":"1EEE","mappings":{"default":{"default":"mayúscula U con cuerno y tilde"}},"category":"Lu"},{"key":"1EF0","mappings":{"default":{"default":"mayúscula U con cuerno y punto debajo"}},"category":"Lu"}]
+,
+"es/symbols/latin-upper-single-accent.js": 
+[{"locale":"es"},{"key":"00C0","mappings":{"default":{"default":"mayúscula A grave"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"mayúscula A aguda"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"mayúscula A acento circunflejo"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"mayúscula A con tilde"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"mayúscula A diéresis"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"mayúscula A con anillo"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"mayúscula C cedilla"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"mayúscula E grave"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"mayúscula E aguda"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"mayúscula E acento circunflejo"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"mayúscula E diéresis"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"mayúscula I grave"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"mayúscula I aguda"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"mayúscula I acento circumflejo"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"mayúscula I diéresis"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"mayúscula Ñ"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"mayúscula O grave"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"mayúscula O aguda"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"mayúscula O acento circunflejo"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"mayúscula O con tilde"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"mayúscula O diéresis"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"mayúscula U grave"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"mayúscula U aguda"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"mayúscula U acento circunflejo"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"mayúscula U diéresis"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"mayúscula Y aguda"}},"category":"Lu"},{"key":"0100","mappings":{"default":{"default":"mayúscula A barra"}},"category":"Lu"},{"key":"0102","mappings":{"default":{"default":"mayúscula A con breve"}},"category":"Lu"},{"key":"0104","mappings":{"default":{"default":"mayúscula A con ogonek"}},"category":"Lu"},{"key":"0106","mappings":{"default":{"default":"mayúscula C con agudo"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"mayúscula C con acento circunflejo"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"mayúscula C con punto arriba"}},"category":"Lu"},{"key":"010C","mappings":{"default":{"default":"mayúscula C con carón"}},"category":"Lu"},{"key":"010E","mappings":{"default":{"default":"mayúscula D con carón"}},"category":"Lu"},{"key":"0112","mappings":{"default":{"default":"mayúscula E barra"}},"category":"Lu"},{"category":"Lu","key":"0114","mappings":{"default":{"default":"mayúscula E con breve"}}},{"key":"0116","mappings":{"default":{"default":"mayúscula E con punto arriba"}},"category":"Lu"},{"key":"0118","mappings":{"default":{"default":"mayúscula E con ogonek"}},"category":"Lu"},{"key":"011A","mappings":{"default":{"default":"mayúscula E con carón"}},"category":"Lu"},{"key":"011C","mappings":{"default":{"default":"mayúscula G con acento circunflejo"}},"category":"Lu"},{"key":"011E","mappings":{"default":{"default":"mayúscula G con breve"}},"category":"Lu"},{"key":"0120","mappings":{"default":{"default":"mayúscula G con punto arriba"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"mayúscula G con cedilla"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"mayúscula H con acento circunflejo"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"mayúscula I con tilde"}},"category":"Lu"},{"key":"012A","mappings":{"default":{"default":"mayúscula I barra"}},"category":"Lu"},{"category":"Lu","key":"012C","mappings":{"default":{"default":"mayúscula I con breve"}}},{"key":"012E","mappings":{"default":{"default":"mayúscula I con ogonek"}},"category":"Lu"},{"key":"0130","mappings":{"default":{"default":"mayúscula I con punto arriba"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"mayúscula J con acento circunflejo"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"mayúscula K con cedilla"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"mayúscula L con agudo"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"mayúscula L con cedilla"}},"category":"Lu"},{"key":"013D","mappings":{"default":{"default":"mayúscula L con carón"}},"category":"Lu"},{"key":"013F","mappings":{"default":{"default":"mayúscula L con punto mediano"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"mayúscula N con agudo"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"mayúscula N con cedilla"}},"category":"Lu"},{"key":"0147","mappings":{"default":{"default":"mayúscula n con carón"}},"category":"Lu"},{"key":"014C","mappings":{"default":{"default":"mayúscula O barra"}},"category":"Lu"},{"category":"Lu","key":"014E","mappings":{"default":{"default":"mayúscula O con breve"}}},{"key":"0150","mappings":{"default":{"default":"mayúscula O con doble acento agudo "}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"mayúscula R con agudo"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"mayúscula R con cedilla"}},"category":"Lu"},{"key":"0158","mappings":{"default":{"default":"mayúscula R con carón"}},"category":"Lu"},{"key":"015A","mappings":{"default":{"default":"mayúscula S con agudo"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"mayúscula S con acento circunflejo"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"mayúscula S con cedilla"}},"category":"Lu"},{"key":"0160","mappings":{"default":{"default":"mayúscula S con carón"}},"category":"Lu"},{"key":"0162","mappings":{"default":{"default":"mayúscula T con cedilla"}},"category":"Lu"},{"key":"0164","mappings":{"default":{"default":"mayúscula T con carón"}},"category":"Lu"},{"key":"0168","mappings":{"default":{"default":"mayúscula U con tilde"}},"category":"Lu"},{"key":"016A","mappings":{"default":{"default":"mayúscula U barra"}},"category":"Lu"},{"key":"016C","mappings":{"default":{"default":"mayúscula U con breve"}},"category":"Lu"},{"key":"016E","mappings":{"default":{"default":"mayúscula U con anillo arriba"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"mayúscula U con doble acento agudo"}},"category":"Lu"},{"key":"0172","mappings":{"default":{"default":"mayúscula U con ogonek"}},"category":"Lu"},{"key":"0174","mappings":{"default":{"default":"mayúscula W con acento circunflejo"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"mayúscula Y con circunflejo"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"mayúscula Y diéresis"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"mayúscula Z con agudo"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"mayúscula Z con punto"}},"category":"Lu"},{"key":"017D","mappings":{"default":{"default":"mayúscula Z con carón"}},"category":"Lu"},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"mayúscula A con acento"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"mayúscula I con acento"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"mayúscula O con acento"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"mayúscula U con acento"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"mayúscula G con acento"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"mayúscula K con acento"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"mayúscula O con pecíolo"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"mayúscula G con acento agudo"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"mayúscula N con grave"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"mayúscula con doble tumba"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"mayúscula a con breve invertido"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"mayúscula E con doble tumba"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"mayúscula E con Breve invertido"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"mayúscula I con doble tumba"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"mayúscula I con Breve invertido"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"mayúscula O con doble tumba"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"mayúscula O con Breve invertido"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"mayúscula R con doble tumba"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"mayúscula R con breve invertido"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"mayúscula U con doble tumba"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"mayúscula U con breve invertido"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"mayúscula S con coma debajo"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"mayúscula T con coma debajo"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"mayúscula H con Caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"mayúscula con un punto arriba"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"mayúscula E con cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"mayúscula O con punto arriba"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"Mayúscula Y con Macron"}}},{"key":"1E00","mappings":{"default":{"default":"mayúscula A con anillo debajo"}},"category":"Lu"},{"key":"1E02","mappings":{"default":{"default":"mayúscula B con punto arriba"}},"category":"Lu"},{"key":"1E04","mappings":{"default":{"default":"mayúscula B con punto debajo"}},"category":"Lu"},{"key":"1E06","mappings":{"default":{"default":"mayúscula B con línea debajo"}},"category":"Lu"},{"key":"1E0A","mappings":{"default":{"default":"mayúscula D con punto arriba"}},"category":"Lu"},{"key":"1E0C","mappings":{"default":{"default":"mayúscula D con punto debajo"}},"category":"Lu"},{"key":"1E0E","mappings":{"default":{"default":"mayúscula D con línea debajo"}},"category":"Lu"},{"key":"1E10","mappings":{"default":{"default":"mayúscula D con cedilla"}},"category":"Lu"},{"key":"1E12","mappings":{"default":{"default":"mayúscula D con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E18","mappings":{"default":{"default":"mayúscula E con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E1A","mappings":{"default":{"default":"mayúscula E con tilde debajo"}},"category":"Lu"},{"key":"1E1E","mappings":{"default":{"default":"mayúscula F con punto arriba"}},"category":"Lu"},{"key":"1E20","mappings":{"default":{"default":"mayúscula G con macrón"}},"category":"Lu"},{"key":"1E22","mappings":{"default":{"default":"mayúscula H con punto arriba"}},"category":"Lu"},{"key":"1E24","mappings":{"default":{"default":"mayúscula H con punto debajo"}},"category":"Lu"},{"key":"1E26","mappings":{"default":{"default":"mayúscula H con diéresis"}},"category":"Lu"},{"key":"1E28","mappings":{"default":{"default":"mayúscula H con cedilla"}},"category":"Lu"},{"key":"1E2A","mappings":{"default":{"default":"mayúscula H con breve debajo"}},"category":"Lu"},{"key":"1E2C","mappings":{"default":{"default":"mayúscula I con tilde debajo"}},"category":"Lu"},{"key":"1E30","mappings":{"default":{"default":"mayúscula K con agudo"}},"category":"Lu"},{"key":"1E32","mappings":{"default":{"default":"mayúscula K con punto debajo"}},"category":"Lu"},{"key":"1E34","mappings":{"default":{"default":"mayúscula K con línea debajo"}},"category":"Lu"},{"key":"1E36","mappings":{"default":{"default":"mayúscula L con punto debajo"}},"category":"Lu"},{"key":"1E3A","mappings":{"default":{"default":"mayúscula L con línea debajo"}},"category":"Lu"},{"key":"1E3C","mappings":{"default":{"default":"mayúscula L con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E3E","mappings":{"default":{"default":"mayúscula M con agudo"}},"category":"Lu"},{"key":"1E40","mappings":{"default":{"default":"mayúscula M con punto arriba"}},"category":"Lu"},{"key":"1E42","mappings":{"default":{"default":"mayúscula M con punto debajo"}},"category":"Lu"},{"key":"1E44","mappings":{"default":{"default":"mayúscula N con punto arriba"}},"category":"Lu"},{"key":"1E46","mappings":{"default":{"default":"mayúscula N con punto debajo"}},"category":"Lu"},{"key":"1E48","mappings":{"default":{"default":"mayúscula N con línea debajo"}},"category":"Lu"},{"key":"1E4A","mappings":{"default":{"default":"mayúscula N con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E54","mappings":{"default":{"default":"mayúscula P con agudo"}},"category":"Lu"},{"key":"1E56","mappings":{"default":{"default":"mayúscula P con punto arriba"}},"category":"Lu"},{"key":"1E58","mappings":{"default":{"default":"mayúscula R con punto arriba"}},"category":"Lu"},{"key":"1E5A","mappings":{"default":{"default":"mayúscula R con punto debajo"}},"category":"Lu"},{"key":"1E5E","mappings":{"default":{"default":"mayúscula R con línea debajo"}},"category":"Lu"},{"key":"1E60","mappings":{"default":{"default":"mayúscula S con punto arriba"}},"category":"Lu"},{"key":"1E62","mappings":{"default":{"default":"mayúscula S con punto debajo"}},"category":"Lu"},{"key":"1E6A","mappings":{"default":{"default":"mayúscula T con punto arriba"}},"category":"Lu"},{"key":"1E6C","mappings":{"default":{"default":"mayúscula T con punto debajo"}},"category":"Lu"},{"key":"1E6E","mappings":{"default":{"default":"mayúscula T con línea debajo"}},"category":"Lu"},{"key":"1E70","mappings":{"default":{"default":"mayúscula T con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E72","mappings":{"default":{"default":"mayúscula U con diéresis debajo"}},"category":"Lu"},{"key":"1E74","mappings":{"default":{"default":"mayúscula U con tilde debajo"}},"category":"Lu"},{"key":"1E76","mappings":{"default":{"default":"mayúscula U con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E7C","mappings":{"default":{"default":"mayúscula V con tilde"}},"category":"Lu"},{"key":"1E7E","mappings":{"default":{"default":"mayúscula V con punto debajo"}},"category":"Lu"},{"key":"1E80","mappings":{"default":{"default":"mayúscula W con grave"}},"category":"Lu"},{"key":"1E82","mappings":{"default":{"default":"mayúscula W con agudo"}},"category":"Lu"},{"key":"1E84","mappings":{"default":{"default":"mayúscula W con diéresis"}},"category":"Lu"},{"key":"1E86","mappings":{"default":{"default":"mayúscula W con punto arriba"}},"category":"Lu"},{"key":"1E88","mappings":{"default":{"default":"mayúscula W con punto debajo"}},"category":"Lu"},{"key":"1E8A","mappings":{"default":{"default":"mayúscula X con punto arriba"}},"category":"Lu"},{"key":"1E8C","mappings":{"default":{"default":"mayúscula X con diéresis"}},"category":"Lu"},{"key":"1E8E","mappings":{"default":{"default":"mayúscula Y con punto arriba"}},"category":"Lu"},{"key":"1E90","mappings":{"default":{"default":"mayúscula Z con acento circunflejo"}},"category":"Lu"},{"key":"1E92","mappings":{"default":{"default":"mayúscula Z con punto debajo"}},"category":"Lu"},{"key":"1E94","mappings":{"default":{"default":"mayúscula Z with line below"}},"category":"Lu"},{"key":"1EA0","mappings":{"default":{"default":"mayúscula A con punto debajo"}},"category":"Lu"},{"key":"1EA2","mappings":{"default":{"default":"mayúscula A con gancho arriba"}},"category":"Lu"},{"key":"1EB8","mappings":{"default":{"default":"mayúscula E con punto debajo"}},"category":"Lu"},{"key":"1EBA","mappings":{"default":{"default":"mayúscula E con gancho arriba"}},"category":"Lu"},{"key":"1EBC","mappings":{"default":{"default":"mayúscula E con tilde"}},"category":"Lu"},{"key":"1EC8","mappings":{"default":{"default":"mayúscula I con gancho arriba"}},"category":"Lu"},{"key":"1ECA","mappings":{"default":{"default":"mayúscula I con punto debajo"}},"category":"Lu"},{"key":"1ECC","mappings":{"default":{"default":"mayúscula O con punto debajo"}},"category":"Lu"},{"key":"1ECE","mappings":{"default":{"default":"mayúscula O con gancho arriba"}},"category":"Lu"},{"key":"1EE4","mappings":{"default":{"default":"mayúscula U con punto debajo"}},"category":"Lu"},{"key":"1EE6","mappings":{"default":{"default":"mayúscula U con gancho arriba"}},"category":"Lu"},{"key":"1EF2","mappings":{"default":{"default":"mayúscula Y con grave"}},"category":"Lu"},{"key":"1EF4","mappings":{"default":{"default":"mayúscula Y con punto debajo"}},"category":"Lu"},{"key":"1EF6","mappings":{"default":{"default":"mayúscula Y con gancho arriba"}},"category":"Lu"},{"key":"1EF8","mappings":{"default":{"default":"mayúscula Y con tilde"}},"category":"Lu"}]
+,
+"es/symbols/math_angles.js": 
+[{"locale":"es"},{"key":"22BE","mappings":{"default":{"default":"ángulo recto con arco"}},"category":"Sm"},{"key":"237C","mappings":{"default":{"default":"ángulo recto con flecha zigzag hacia abajo"}},"category":"Sm"},{"key":"27C0","mappings":{"default":{"default":"ángulo sólido"}},"category":"Sm"},{"category":"Sm","key":"299B","mappings":{"default":{"default":"Ángulo medido de apertura a la izquierda"}}},{"category":"Sm","key":"299C","mappings":{"default":{"default":"Variante de ángulo recto con cuadrado"}}},{"key":"299D","mappings":{"default":{"default":"ángulo recto medido con punto"}},"category":"Sm"},{"category":"Sm","key":"299E","mappings":{"default":{"default":"Ángulo con S dentro"}}},{"category":"Sm","key":"299F","mappings":{"default":{"default":"Ángulo agudo"}}},{"category":"Sm","key":"29A0","mappings":{"default":{"default":"Ángulo esférico de apertura a la izquierda"}}},{"category":"Sm","key":"29A1","mappings":{"default":{"default":"Apertura de ángulo esférico"}}},{"category":"Sm","key":"29A2","mappings":{"default":{"default":"Ángulo de giro"}}},{"category":"Sm","key":"29A3","mappings":{"default":{"default":"Ángulo invertido"}}},{"key":"29A4","mappings":{"default":{"default":"ángulo con barra inferior"}},"category":"Sm"},{"key":"29A5","mappings":{"default":{"default":"ángulo inverso con barra inferior"}},"category":"Sm"},{"key":"29A6","mappings":{"default":{"default":"ángulo oblicuo hacia arriba"}},"category":"Sm"},{"key":"29A7","mappings":{"default":{"default":"ángulo oblicuo hacia abajo"}},"category":"Sm"},{"key":"29A8","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the right"}},"category":"Sm"},{"key":"29A9","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the left"}},"category":"Sm"},{"key":"29AA","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the right"}},"category":"Sm"},{"key":"29AB","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the left"}},"category":"Sm"},{"key":"29AC","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"category":"Sm"},{"key":"29AD","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"category":"Sm"},{"key":"29AE","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"category":"Sm"},{"key":"29AF","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"category":"Sm"}]
+,
+"es/symbols/math_arrows.js": 
+[{"locale":"es"},{"key":"2190","mappings":{"default":{"default":"flecha izquierda"}},"category":"Sm"},{"key":"2191","mappings":{"default":{"default":"flecha arriba"}},"category":"Sm"},{"key":"2192","mappings":{"default":{"default":"flecha derecha","defaultMP":"flecha"}},"category":"Sm"},{"key":"2193","mappings":{"default":{"default":"flecha abajo"}},"category":"Sm"},{"key":"2194","mappings":{"default":{"default":"flecha izquierda y derecha"}},"category":"Sm"},{"key":"2195","mappings":{"default":{"default":"flecha arriba y abajo"}},"category":"So"},{"key":"2196","mappings":{"default":{"default":"flecha a noroeste"}},"category":"So"},{"key":"2197","mappings":{"default":{"default":"flecha a nordeste"}},"category":"So"},{"key":"2198","mappings":{"default":{"default":"flecha a sureste"}},"category":"So"},{"key":"2199","mappings":{"default":{"default":"flecha a suroeste"}},"category":"So"},{"key":"219A","mappings":{"default":{"default":"flecha izquierda tachada"}},"category":"Sm"},{"key":"219B","mappings":{"default":{"default":"flecha tachada"}},"category":"Sm"},{"key":"219C","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"219D","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"219E","mappings":{"default":{"default":"flecha izquierda con doble punta"}},"category":"So"},{"key":"219F","mappings":{"default":{"default":"flecha con doble punta hacia arriba"}},"category":"So"},{"key":"21A0","mappings":{"default":{"default":"flecha derechaa con doble punta"}},"category":"Sm"},{"key":"21A1","mappings":{"default":{"default":"flecha con doble punta hacia abajo"}},"category":"So"},{"key":"21A2","mappings":{"default":{"default":"flecha izquierda con cola"}},"category":"So"},{"key":"21A3","mappings":{"default":{"default":"flecha derecha con cola"}},"category":"Sm"},{"key":"21A4","mappings":{"default":{"default":"flecha izquierda de barra"}},"category":"So"},{"key":"21A5","mappings":{"default":{"default":"barra con flecha"}},"category":"So"},{"key":"21A6","mappings":{"default":{"default":"flecha derecha de barra"}},"category":"Sm"},{"key":"21A7","mappings":{"default":{"default":"flecha con barra"}},"category":"So"},{"key":"21A8","mappings":{"default":{"default":"flecha arriba y abajo con base"}},"category":"So"},{"key":"21A9","mappings":{"default":{"default":"flecha izquierda con gancho"}},"category":"So"},{"key":"21AA","mappings":{"default":{"default":"flecha con gancho"}},"category":"So"},{"key":"21AB","mappings":{"default":{"default":"flecha izquierda con lazo"}},"category":"So"},{"key":"21AC","mappings":{"default":{"default":"flecha con lazo"}},"category":"So"},{"key":"21AD","mappings":{"default":{"default":"flecha ondulada izquierda y derecha"}},"category":"So"},{"key":"21AE","mappings":{"default":{"default":"flecha izquierda y derecha tachada"}},"category":"Sm"},{"key":"21AF","mappings":{"default":{"default":"flecha zigzag abajo"}},"category":"So"},{"key":"21B0","mappings":{"default":{"default":"flecha arriba con punta izquierda"}},"category":"So"},{"key":"21B1","mappings":{"default":{"default":"flecha arriba con punta derecha"}},"category":"So"},{"key":"21B2","mappings":{"default":{"default":"flecha abajo con punta izquierda"}},"category":"So"},{"key":"21B3","mappings":{"default":{"default":"flecha abajo con punta derecha"}},"category":"So"},{"key":"21B4","mappings":{"default":{"default":"flecha derecha desde esquina inferior"}},"category":"So"},{"key":"21B5","mappings":{"default":{"default":"flecha hacia abajo desde esquina izquierda"}},"category":"So"},{"key":"21B6","mappings":{"default":{"default":"flecha semicircular superior en sentido antihorario"}},"category":"So"},{"key":"21B7","mappings":{"default":{"default":"flecha semicircular superior en sentido horario"}},"category":"So"},{"key":"21B8","mappings":{"default":{"default":"flecha noroeste a barra larga"}},"category":"So"},{"key":"21B9","mappings":{"default":{"default":"flecha izquierda a barra arriba de flecha derecha a barra"}},"category":"So"},{"key":"21BA","mappings":{"default":{"default":"flecha circular abierta en sentido antihorario"}},"category":"So"},{"key":"21BB","mappings":{"default":{"default":"flecha circular abierta en sentido horario"}},"category":"So"},{"key":"21C4","mappings":{"default":{"default":"flecha derecha arriba de flecha izquierda"}},"category":"So"},{"key":"21C5","mappings":{"default":{"default":"flecha arriba a la izquierda de flecha abajo"}},"category":"So"},{"key":"21C6","mappings":{"default":{"default":"flecha izquierda arriba de flecha derecha"}},"category":"So"},{"key":"21C7","mappings":{"default":{"default":"dos flechas hacia la izquierda"}},"category":"So"},{"key":"21C8","mappings":{"default":{"default":"dos flechas hacia arriba"}},"category":"So"},{"key":"21C9","mappings":{"default":{"default":"dos flechas"}},"category":"So"},{"key":"21CA","mappings":{"default":{"default":"dos flechas hacia abajo"}},"category":"So"},{"key":"21CD","mappings":{"default":{"default":"flecha doble izquierda tachada"}},"category":"So"},{"key":"21CE","mappings":{"default":{"default":"flecha doble izquierda y derecha tachada"}},"category":"Sm"},{"key":"21CF","mappings":{"default":{"default":"flecha doble tachada"}},"category":"Sm"},{"key":"21D0","mappings":{"default":{"default":"flecha doble hacia la izquierda"}},"category":"So"},{"key":"21D1","mappings":{"default":{"default":"flecha doble hacia arriba"}},"category":"So"},{"key":"21D2","mappings":{"default":{"default":"flecha doble"}},"category":"Sm"},{"key":"21D3","mappings":{"default":{"default":"flecha doble hacia abajo"}},"category":"So"},{"key":"21D4","mappings":{"default":{"default":"flecha doble izquierda-derecha"}},"category":"Sm"},{"key":"21D5","mappings":{"default":{"default":"flecha doble vertical"}},"category":"So"},{"key":"21D6","mappings":{"default":{"default":"flecha doble hacia noroeste"}},"category":"So"},{"key":"21D7","mappings":{"default":{"default":"flecha doble hacia nordeste"}},"category":"So"},{"key":"21D8","mappings":{"default":{"default":"flecha doble hacia sudeste"}},"category":"So"},{"key":"21D9","mappings":{"default":{"default":"flecha doble hacia sudoeste"}},"category":"So"},{"key":"21DA","mappings":{"default":{"default":"flecha triple izquierda"}},"category":"So"},{"key":"21DB","mappings":{"default":{"default":"flecha triple"}},"category":"So"},{"key":"21DC","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"21DD","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"21DE","mappings":{"default":{"default":"flecha hacia arriba con doble tachado"}},"category":"So"},{"key":"21DF","mappings":{"default":{"default":"flecha hacia abajo con doble tachado"}},"category":"So"},{"key":"21E0","mappings":{"default":{"default":"flecha de puntos hacia la izquierda"}},"category":"So"},{"key":"21E1","mappings":{"default":{"default":"flecha de puntos hacia arriba"}},"category":"So"},{"key":"21E2","mappings":{"default":{"default":"flecha de puntos"}},"category":"So"},{"key":"21E3","mappings":{"default":{"default":"flecha de puntos hacia abajo"}},"category":"So"},{"key":"21E4","mappings":{"default":{"default":"flecha izquierda a barra"}},"category":"So"},{"key":"21E5","mappings":{"default":{"default":"flecha derecha a barra"}},"category":"So"},{"key":"21E6","mappings":{"default":{"default":"flecha vacía hacia la izquierda"}},"category":"So"},{"key":"21E7","mappings":{"default":{"default":"flecha vacía hacia arriba"}},"category":"So"},{"key":"21E8","mappings":{"default":{"default":"flecha vacía"}},"category":"So"},{"key":"21E9","mappings":{"default":{"default":"flecha vacía hacia abajo"}},"category":"So"},{"key":"21EA","mappings":{"default":{"default":"flecha vacía hacia arriba desde barra"}},"category":"So"},{"category":"So","key":"21EB","mappings":{"default":{"default":"flecha blanca hacia arriba en el pedestal"}}},{"category":"So","key":"21EC","mappings":{"default":{"default":"flecha blanca hacia arriba sobre pedestal con barra horizontal"}}},{"category":"So","key":"21ED","mappings":{"default":{"default":"flecha blanca hacia arriba sobre pedestal con barra vertical"}}},{"category":"So","key":"21EE","mappings":{"default":{"default":"flecha doble hacia arriba blanca"}}},{"category":"So","key":"21EF","mappings":{"default":{"default":"flecha doble hacia arriba blanca en pedestal"}}},{"category":"So","key":"21F0","mappings":{"default":{"default":"flecha blanca hacia la derecha de la pared"}}},{"category":"So","key":"21F1","mappings":{"default":{"default":"flecha del noroeste a la esquina"}}},{"category":"So","key":"21F2","mappings":{"default":{"default":"flecha del sudeste a la esquina"}}},{"category":"So","key":"21F3","mappings":{"default":{"default":"arriba abajo flecha blanca"}}},{"category":"Sm","key":"21F4","mappings":{"default":{"default":"flecha derecha con círculo pequeño"}}},{"key":"21F5","mappings":{"default":{"default":"upwards arrow to the right of downwards arrow"}},"category":"Sm"},{"category":"Sm","key":"21F6","mappings":{"default":{"default":"tres flechas a la derecha"}}},{"category":"Sm","key":"21F7","mappings":{"default":{"default":"flecha hacia la izquierda con trazo vertical"}}},{"category":"Sm","key":"21F8","mappings":{"default":{"default":"flecha hacia la derecha con trazo vertical"}}},{"category":"Sm","key":"21F9","mappings":{"default":{"default":"flecha izquierda derecha con trazo vertical"}}},{"category":"Sm","key":"21FA","mappings":{"default":{"default":"flecha hacia la izquierda con doble trazo vertical"}}},{"category":"Sm","key":"21FB","mappings":{"default":{"default":"flecha hacia la derecha con doble trazo vertical"}}},{"category":"Sm","key":"21FC","mappings":{"default":{"default":"flecha izquierda derecha con doble trazo vertical"}}},{"key":"21FD","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FE","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FF","mappings":{"default":{"default":"flecha izquierda derecha con punta vacía"}},"category":"Sm"},{"category":"So","key":"2301","mappings":{"default":{"default":"flecha electrica"}}},{"category":"So","key":"2303","mappings":{"default":{"default":"flecha arriba"}}},{"category":"So","key":"2304","mappings":{"default":{"default":"flecha hacia abajo"}}},{"category":"So","key":"2324","mappings":{"default":{"default":"flecha arriba entre dos barras horizontales"}}},{"category":"So","key":"238B","mappings":{"default":{"default":"círculo roto con la flecha del noroeste"}}},{"category":"So","key":"2794","mappings":{"default":{"default":"flecha hacia la derecha con cabeza ancha"}}},{"category":"So","key":"2798","mappings":{"default":{"default":"flecha Sureste pesada"}}},{"category":"So","key":"2799","mappings":{"default":{"default":"flecha hacia la derecha pesada"}}},{"category":"So","key":"279A","mappings":{"default":{"default":"flecha pesada del noreste"}}},{"category":"So","key":"279B","mappings":{"default":{"default":"punto de dibujo Flecha hacia la derecha"}}},{"category":"So","key":"279C","mappings":{"default":{"default":"flecha hacia la derecha con punta redonda redonda"}}},{"category":"So","key":"279D","mappings":{"default":{"default":"flecha hacia la derecha con forma de triángulo"}}},{"category":"So","key":"279E","mappings":{"default":{"default":"flecha hacia la derecha con forma de triángulo pesado"}}},{"category":"So","key":"279F","mappings":{"default":{"default":"triángulo punteado hacia la flecha hacia la derecha"}}},{"category":"So","key":"27A0","mappings":{"default":{"default":"flecha hacia la derecha con forma de triángulo de trazo pesado"}}},{"category":"So","key":"27A1","mappings":{"default":{"default":"flecha hacia la derecha negra"}}},{"category":"So","key":"27A2","mappings":{"default":{"default":"punta de flecha tridimensional hacia la derecha hacia arriba"}}},{"category":"So","key":"27A3","mappings":{"default":{"default":"punta de flecha hacia la derecha con iluminación inferior en tres dimensiones"}}},{"category":"So","key":"27A4","mappings":{"default":{"default":"punta de flecha negra hacia la derecha"}}},{"category":"So","key":"27A5","mappings":{"default":{"default":"pesado negro curvado hacia abajo y hacia la derecha flecha"}}},{"category":"So","key":"27A6","mappings":{"default":{"default":"pesado negro curvado hacia arriba y hacia la derecha flecha"}}},{"category":"So","key":"27A7","mappings":{"default":{"default":"squat Black Arrow hacia la derecha"}}},{"category":"So","key":"27A8","mappings":{"default":{"default":"flecha hacia la derecha de color negro cóncava puntiaguda pesada"}}},{"category":"So","key":"27A9","mappings":{"default":{"default":"sombra derecha flecha blanca hacia la derecha"}}},{"category":"So","key":"27AA","mappings":{"default":{"default":"sombra hacia la izquierda blanca a la izquierda"}}},{"category":"So","key":"27AB","mappings":{"default":{"default":"back-Tilted Shadowed White Right Arrow"}}},{"category":"So","key":"27AC","mappings":{"default":{"default":"flecha hacia la derecha blanca sombreada inclinada hacia delante"}}},{"category":"So","key":"27AD","mappings":{"default":{"default":"flecha hacia la derecha pesada inferior, sombreada a la derecha, blanca"}}},{"category":"So","key":"27AE","mappings":{"default":{"default":"flecha hacia la derecha blanca superior derecha sombreada pesada"}}},{"category":"So","key":"27AF","mappings":{"default":{"default":"con muesca, flecha derecha hacia abajo, a la derecha, hacia la derecha"}}},{"category":"So","key":"27B1","mappings":{"default":{"default":"con muescas, flecha derecha hacia arriba, a la derecha, hacia la derecha"}}},{"category":"So","key":"27B2","mappings":{"default":{"default":"círculo pesado blanco flecha hacia la derecha"}}},{"category":"So","key":"27B3","mappings":{"default":{"default":"flecha hacia la derecha con plumas blancas"}}},{"category":"So","key":"27B4","mappings":{"default":{"default":"flecha suroriental de plumas negras"}}},{"category":"So","key":"27B5","mappings":{"default":{"default":"flecha hacia la derecha con plumas negras"}}},{"category":"So","key":"27B6","mappings":{"default":{"default":"flecha del noreste con plumas negras"}}},{"category":"So","key":"27B7","mappings":{"default":{"default":"flecha suroriental con plumas negras pesadas"}}},{"category":"So","key":"27B8","mappings":{"default":{"default":"flecha derecha pesada con plumas negras"}}},{"category":"So","key":"27B9","mappings":{"default":{"default":"flecha del noreste con plumas negras pesadas"}}},{"category":"So","key":"27BA","mappings":{"default":{"default":"lágrima-flecha de flecha hacia la derecha"}}},{"category":"So","key":"27BB","mappings":{"default":{"default":"flecha hacia la derecha con forma de lágrima pesada"}}},{"category":"So","key":"27BC","mappings":{"default":{"default":"flecha hacia la derecha de cola de cuña"}}},{"category":"So","key":"27BD","mappings":{"default":{"default":"flecha hacia la derecha de cola de cuña pesada"}}},{"category":"So","key":"27BE","mappings":{"default":{"default":"open-Outlined Outward Arrow"}}},{"key":"27F0","mappings":{"default":{"default":"flecha cuádruple hacia arriba"}},"category":"Sm"},{"key":"27F1","mappings":{"default":{"default":"flecha cuádruple hacia abajo"}},"category":"Sm"},{"key":"27F2","mappings":{"default":{"default":"flecha hacia la izquierda desde círculo"}},"category":"Sm"},{"key":"27F3","mappings":{"default":{"default":"flecha hacia la derecha desde círculo"}},"category":"Sm"},{"key":"27F4","mappings":{"default":{"default":"flecha con más en círculo"}},"category":"Sm"},{"key":"27F5","mappings":{"default":{"default":"flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F6","mappings":{"default":{"default":"flecha larga"}},"category":"Sm"},{"key":"27F7","mappings":{"default":{"default":"flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27F8","mappings":{"default":{"default":"doble flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F9","mappings":{"default":{"default":"doble flecha larga"}},"category":"Sm"},{"key":"27FA","mappings":{"default":{"default":"doble flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27FB","mappings":{"default":{"default":"flecha larga hacia la izquierda, desde barra"}},"category":"Sm"},{"key":"27FC","mappings":{"default":{"default":"flecha larga desde barra"}},"category":"Sm"},{"key":"27FD","mappings":{"default":{"default":"doble flecha larga hacia la izquierda desde barra"}},"category":"Sm"},{"key":"27FE","mappings":{"default":{"default":"doble flecha larga desde barra"}},"category":"Sm"},{"key":"27FF","mappings":{"default":{"default":"flecha larga en zigzag"}},"category":"Sm"},{"category":"Sm","key":"2900","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con trazo vertical"}}},{"category":"Sm","key":"2901","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con doble movimiento vertical"}}},{"category":"Sm","key":"2902","mappings":{"default":{"default":"doble flecha hacia la izquierda con trazo vertical"}}},{"category":"Sm","key":"2903","mappings":{"default":{"default":"doble flecha hacia la derecha con trazo vertical"}}},{"category":"Sm","key":"2904","mappings":{"default":{"default":"izquierda Derecha Doble Flecha con Trazo Vertical"}}},{"key":"2905","mappings":{"default":{"default":"rightwards two headed arrow from bar"}},"category":"Sm"},{"category":"Sm","key":"2906","mappings":{"default":{"default":"doble flecha hacia la izquierda de la barra"}}},{"category":"Sm","key":"2907","mappings":{"default":{"default":"flecha doble hacia la derecha de la barra"}}},{"category":"Sm","key":"2908","mappings":{"default":{"default":"flecha hacia abajo con trazo horizontal"}}},{"category":"Sm","key":"2909","mappings":{"default":{"default":"flecha hacia arriba con trazo horizontal"}}},{"category":"Sm","key":"290A","mappings":{"default":{"default":"flecha triple hacia arriba"}}},{"category":"Sm","key":"290B","mappings":{"default":{"default":"triple flecha hacia abajo"}}},{"key":"290C","mappings":{"default":{"default":"leftwards double dash arrow"}},"category":"Sm"},{"key":"290D","mappings":{"default":{"default":"rightwards double dash arrow"}},"category":"Sm"},{"key":"290E","mappings":{"default":{"default":"leftwards triple dash arrow"}},"category":"Sm"},{"key":"290F","mappings":{"default":{"default":"rightwards triple dash arrow"}},"category":"Sm"},{"key":"2910","mappings":{"default":{"default":"rightwards two headed triple dash arrow"}},"category":"Sm"},{"key":"2911","mappings":{"default":{"default":"rightwards arrow with dotted stem"}},"category":"Sm"},{"key":"2912","mappings":{"default":{"default":"upwards arrow to bar"}},"category":"Sm"},{"key":"2913","mappings":{"default":{"default":"downwards arrow to bar"}},"category":"Sm"},{"category":"Sm","key":"2914","mappings":{"default":{"default":"flecha hacia la derecha con cola con trazo vertical"}}},{"category":"Sm","key":"2915","mappings":{"default":{"default":"flecha hacia la derecha con la cola con doble trazo vertical"}}},{"key":"2916","mappings":{"default":{"default":"rightwards two headed arrow with tail"}},"category":"Sm"},{"category":"Sm","key":"2917","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con cola con trazo vertical"}}},{"category":"Sm","key":"2918","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con cola con doble movimiento vertical"}}},{"key":"2919","mappings":{"default":{"default":"cola de flecha hacia la izquierda"}},"category":"Sm"},{"category":"Sm","key":"291A","mappings":{"default":{"default":"flecha hacia la derecha"}}},{"key":"291B","mappings":{"default":{"default":"cola de doble flecha hacia la izquierda"}},"category":"Sm"},{"key":"291C","mappings":{"default":{"default":"cola de doble flecha hacia la derecha"}},"category":"Sm"},{"key":"291D","mappings":{"default":{"default":"flecha hacia diamante relleno a la izquierda"}},"category":"Sm"},{"key":"291E","mappings":{"default":{"default":"flecha hacia diamante a la derecha"}},"category":"Sm"},{"key":"291F","mappings":{"default":{"default":"flecha desde barra hacia diamante a la izquierda"}},"category":"Sm"},{"key":"2920","mappings":{"default":{"default":"flecha desde barra hacia diamante a la derecha"}},"category":"Sm"},{"category":"Sm","key":"2921","mappings":{"default":{"default":"flechas del noroeste y sureste"}}},{"category":"Sm","key":"2922","mappings":{"default":{"default":"flecha noreste y sudoeste"}}},{"key":"2923","mappings":{"default":{"default":"flecha a noroeste con garfio"}},"category":"Sm"},{"key":"2924","mappings":{"default":{"default":"flecha a nordeste con garfio"}},"category":"Sm"},{"key":"2925","mappings":{"default":{"default":"flecha a sureste con garfio"}},"category":"Sm"},{"key":"2926","mappings":{"default":{"default":"flecha a suroeste con garfio"}},"category":"Sm"},{"key":"2927","mappings":{"default":{"default":"flechas a noroeste y nordeste"}},"category":"Sm"},{"key":"2928","mappings":{"default":{"default":"flechas a nordeste y sudeste"}},"category":"Sm"},{"key":"2929","mappings":{"default":{"default":"flechas a suddeste y sudoeste"}},"category":"Sm"},{"key":"292A","mappings":{"default":{"default":"flechas a sudoeste y noroeste"}},"category":"Sm"},{"category":"Sm","key":"292D","mappings":{"default":{"default":"flecha Sureste Cruzando Flecha Noreste"}}},{"category":"Sm","key":"292E","mappings":{"default":{"default":"north East Arrow Crossing South East Arrow"}}},{"category":"Sm","key":"292F","mappings":{"default":{"default":"caída en diagonal que cruza la flecha noreste"}}},{"category":"Sm","key":"2930","mappings":{"default":{"default":"creciente Cruce de la Cruz del Sureste de la Flecha"}}},{"category":"Sm","key":"2931","mappings":{"default":{"default":"north East Arrow Crossing North West Arrow"}}},{"category":"Sm","key":"2932","mappings":{"default":{"default":"north West Arrow Crossing North East Arrow"}}},{"key":"2933","mappings":{"default":{"default":"flecha ondulada"}},"category":"Sm"},{"category":"Sm","key":"2934","mappings":{"default":{"default":"flecha que apunta hacia la derecha y luego curva hacia arriba"}}},{"key":"2935","mappings":{"default":{"default":"flecha hacia la derecha que gira hacia abajo"}},"category":"Sm"},{"key":"2936","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la izquierda"}},"category":"Sm"},{"key":"2937","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la derecha"}},"category":"Sm"},{"key":"2938","mappings":{"default":{"default":"flecha semicircular a la derecha en sentido horario"}},"category":"Sm"},{"key":"2939","mappings":{"default":{"default":"flecha semicircular a la izquierda en sentido antihorario"}},"category":"Sm"},{"category":"Sm","key":"293A","mappings":{"default":{"default":"arco superior flecha hacia la izquierda"}}},{"category":"Sm","key":"293B","mappings":{"default":{"default":"arco inferior flecha hacia la izquierda"}}},{"key":"293C","mappings":{"default":{"default":"giro negativo"}},"category":"Sm"},{"key":"293D","mappings":{"default":{"default":"giro positivo"}},"category":"Sm"},{"category":"Sm","key":"293E","mappings":{"default":{"default":"flecha hacia la derecha semicircular inferior derecha"}}},{"category":"Sm","key":"293F","mappings":{"default":{"default":"flecha inferior izquierda semicircular en sentido antihorario"}}},{"category":"Sm","key":"2940","mappings":{"default":{"default":"círculo cerrado en sentido contrario a las agujas del reloj"}}},{"category":"Sm","key":"2941","mappings":{"default":{"default":"círculo cerrado en el sentido de las agujas del reloj"}}},{"category":"Sm","key":"2942","mappings":{"default":{"default":"flecha hacia la derecha sobre la flecha corta hacia la izquierda"}}},{"category":"Sm","key":"2943","mappings":{"default":{"default":"flecha hacia la izquierda sobre la flecha corta hacia la derecha"}}},{"category":"Sm","key":"2944","mappings":{"default":{"default":"flecha corta hacia la derecha arriba flecha hacia la izquierda"}}},{"key":"2945","mappings":{"default":{"default":"flecha con más suscrito"}},"category":"Sm"},{"category":"Sm","key":"2946","mappings":{"default":{"default":"flecha hacia la izquierda con más abajo"}}},{"category":"Sm","key":"2947","mappings":{"default":{"default":"flecha hacia la derecha a través de X"}}},{"key":"2948","mappings":{"default":{"default":"flecha hacia la izquierda a través de círculo"}},"category":"Sm"},{"key":"2949","mappings":{"default":{"default":"dos cabezas de flecha hacia arriba desde círculo"}},"category":"Sm"},{"key":"2970","mappings":{"default":{"default":"round implies"}},"category":"Sm"},{"key":"2971","mappings":{"default":{"default":"flecha con igual"}},"category":"Sm"},{"key":"2972","mappings":{"default":{"default":"flecha con tilde"}},"category":"Sm"},{"key":"2973","mappings":{"default":{"default":"tilde con flecha hacia la izquierda"}},"category":"Sm"},{"key":"2974","mappings":{"default":{"default":"tilde con flecha"}},"category":"Sm"},{"key":"2975","mappings":{"default":{"default":"flecha con casi igual a"}},"category":"Sm"},{"key":"2976","mappings":{"default":{"default":"flecha hacia la izquierda con menor que"}},"category":"Sm"},{"category":"Sm","key":"2977","mappings":{"default":{"default":"flecha hacia la izquierda a través de menos de"}}},{"key":"2978","mappings":{"default":{"default":"flecha con mayor que"}},"category":"Sm"},{"key":"2979","mappings":{"default":{"default":"flecha hacia la izquierda con incluido"}},"category":"Sm"},{"category":"Sm","key":"297A","mappings":{"default":{"default":"flecha hacia la izquierda a través del subconjunto"}}},{"key":"297B","mappings":{"default":{"default":"flecha hacia la izquierda con contiene"}},"category":"Sm"},{"key":"29B3","mappings":{"default":{"default":"conjunto vacío con flecha"}},"category":"Sm"},{"key":"29B4","mappings":{"default":{"default":"conjunto vacío con flecha inversa"}},"category":"Sm"},{"category":"Sm","key":"29BD","mappings":{"default":{"default":"flecha arriba a través del círculo"}}},{"category":"Sm","key":"29EA","mappings":{"default":{"default":"diamante negro con flecha hacia abajo"}}},{"category":"Sm","key":"29EC","mappings":{"default":{"default":"círculo blanco con flecha hacia abajo"}}},{"category":"Sm","key":"29ED","mappings":{"default":{"default":"círculo negro con flecha hacia abajo"}}},{"key":"2A17","mappings":{"default":{"default":"integral con flecha hacia la izquierda con garfio"}},"category":"Sm"},{"category":"So","key":"2B00","mappings":{"default":{"default":"flecha blanca del noreste"}}},{"category":"So","key":"2B01","mappings":{"default":{"default":"flecha blanca del noroeste"}}},{"category":"So","key":"2B02","mappings":{"default":{"default":"flecha blanca del sureste"}}},{"category":"So","key":"2B03","mappings":{"default":{"default":"sudoeste flecha blanca"}}},{"category":"So","key":"2B04","mappings":{"default":{"default":"izquierda derecha flecha blanca"}}},{"category":"So","key":"2B05","mappings":{"default":{"default":"flecha negra hacia la izquierda"}}},{"category":"So","key":"2B06","mappings":{"default":{"default":"flecha negra hacia arriba"}}},{"category":"So","key":"2B07","mappings":{"default":{"default":"flecha negra hacia abajo"}}},{"category":"So","key":"2B08","mappings":{"default":{"default":"flecha negra del noreste"}}},{"category":"So","key":"2B09","mappings":{"default":{"default":"flecha negra del noroeste"}}},{"category":"So","key":"2B0A","mappings":{"default":{"default":"flecha negra sur este"}}},{"category":"So","key":"2B0B","mappings":{"default":{"default":"sudoeste flecha negra"}}},{"category":"So","key":"2B0C","mappings":{"default":{"default":"izquierda derecha flecha negra"}}},{"category":"So","key":"2B0D","mappings":{"default":{"default":"arriba abajo flecha negra"}}},{"category":"So","key":"2B0E","mappings":{"default":{"default":"flecha hacia la derecha con la punta hacia abajo"}}},{"category":"So","key":"2B0F","mappings":{"default":{"default":"flecha hacia la derecha con la punta hacia arriba"}}},{"category":"So","key":"2B10","mappings":{"default":{"default":"flecha hacia la izquierda con la punta hacia abajo"}}},{"category":"So","key":"2B11","mappings":{"default":{"default":"flecha hacia la izquierda con la punta hacia arriba"}}},{"category":"Sm","key":"2B30","mappings":{"default":{"default":"flecha izquierda con círculo pequeño"}}},{"category":"Sm","key":"2B31","mappings":{"default":{"default":"tres flechas a la izquierda"}}},{"category":"Sm","key":"2B32","mappings":{"default":{"default":"flecha izquierda con un círculo más"}}},{"category":"Sm","key":"2B33","mappings":{"default":{"default":"flecha de flecha larga hacia la izquierda"}}},{"category":"Sm","key":"2B34","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con trazo vertical"}}},{"category":"Sm","key":"2B35","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con doble movimiento vertical"}}},{"category":"Sm","key":"2B36","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda de la barra"}}},{"category":"Sm","key":"2B37","mappings":{"default":{"default":"flecha triple de dos cabezas hacia la izquierda"}}},{"category":"Sm","key":"2B38","mappings":{"default":{"default":"flecha hacia la izquierda con tallo punteado"}}},{"category":"Sm","key":"2B39","mappings":{"default":{"default":"flecha hacia la izquierda con cola con trazo vertical"}}},{"category":"Sm","key":"2B3A","mappings":{"default":{"default":"flecha hacia la izquierda con cola con doble trazo vertical"}}},{"category":"Sm","key":"2B3B","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con cola"}}},{"category":"Sm","key":"2B3C","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con cola con trazo vertical"}}},{"category":"Sm","key":"2B3D","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con cola con doble movimiento vertical"}}},{"category":"Sm","key":"2B3E","mappings":{"default":{"default":"flecha hacia la izquierda a través de X"}}},{"category":"Sm","key":"2B3F","mappings":{"default":{"default":"ola flecha apuntando directamente a la izquierda"}}},{"category":"Sm","key":"2B40","mappings":{"default":{"default":"signo de igual flecha arriba a la izquierda"}}},{"category":"Sm","key":"2B41","mappings":{"default":{"default":"operador de tilde inverso sobre la flecha hacia la izquierda"}}},{"category":"Sm","key":"2B42","mappings":{"default":{"default":"flecha hacia la izquierda sobre el reverso casi igual a"}}},{"category":"Sm","key":"2B43","mappings":{"default":{"default":"flecha hacia la derecha a través de mayor-que"}}},{"category":"Sm","key":"2B44","mappings":{"default":{"default":"flecha hacia la derecha a través de Superset"}}},{"category":"So","key":"2B45","mappings":{"default":{"default":"flecha cuádruple hacia la izquierda"}}},{"category":"So","key":"2B46","mappings":{"default":{"default":"flecha cuádruple hacia la derecha"}}},{"category":"Sm","key":"2B47","mappings":{"default":{"default":"operador de tilde inverso sobre la flecha hacia la derecha"}}},{"category":"Sm","key":"2B48","mappings":{"default":{"default":"flecha hacia la derecha sobre el reverso casi igual a"}}},{"category":"Sm","key":"2B49","mappings":{"default":{"default":"operador de tilde sobre la flecha hacia la izquierda"}}},{"category":"Sm","key":"2B4A","mappings":{"default":{"default":"flecha hacia la izquierda por encima de casi igual a"}}},{"category":"Sm","key":"2B4B","mappings":{"default":{"default":"flecha hacia la izquierda sobre el operador de tilde inverso"}}},{"category":"Sm","key":"2B4C","mappings":{"default":{"default":"flecha hacia la derecha sobre el operador de tilde inverso"}}},{"category":"Sm","key":"FFE9","mappings":{"default":{"default":"flecha hacia la izquierda de medio ancho"}}},{"category":"Sm","key":"FFEA","mappings":{"default":{"default":"flecha ascendente de medio ancho"}}},{"category":"Sm","key":"FFEB","mappings":{"default":{"default":"flecha de medio ancho hacia la derecha"}}},{"category":"Sm","key":"FFEC","mappings":{"default":{"default":"flecha hacia abajo de medio ancho"}}}]
+,
+"es/symbols/math_characters.js": 
+[{"locale":"es"},{"key":"2113","mappings":{"default":{"default":"script l"}},"category":"Ll"},{"key":"2118","mappings":{"default":{"default":"p de weierstrass"}},"category":"Sm"},{"category":"Ll","key":"213C","mappings":{"default":{"default":"negrita de pizarra pi"}}},{"category":"Ll","key":"213D","mappings":{"default":{"default":"negrita de pizarra gamma"}}},{"category":"Lu","key":"213E","mappings":{"default":{"default":"negrita de pizarra mayúscula Gamma"}}},{"category":"Lu","key":"213F","mappings":{"default":{"default":"negrita de pizarra mayúscula Pi"}}},{"category":"Sm","key":"2140","mappings":{"default":{"default":"negrita de pizarra suma de n-ary"}}},{"key":"2145","mappings":{"default":{"default":"mayúscula D"}},"category":"Lu"},{"key":"2146","mappings":{"default":{"default":"d"}},"category":"Ll"},{"key":"2147","mappings":{"default":{"default":"e"}},"category":"Ll"},{"key":"2148","mappings":{"default":{"default":"i"}},"category":"Ll"},{"category":"Ll","key":"2149","mappings":{"default":{"default":"negrita de pizarra cursiva j"}}},{"category":"Ll","mappings":{"default":{"default":"cursiva sin punto i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"cursiva sin punto j"}},"key":"1D6A5"}]
+,
+"es/symbols/math_delimiters.js": 
+[{"locale":"es"},{"key":"0028","mappings":{"default":{"default":"paréntesis izquierdo","defaultMP":"paréntesis"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"paréntesis derecho","defaultMP":"cierra paréntesis"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"corchete izquierdo","defaultMP":"abre corchetes"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"corchete derecho","defaultMP":"cierra corchetes"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"llave izquierda","defaultMP":"abre llaves"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"llaves derecha","defaultMP":"cierra llaves"}},"category":"Pe"},{"category":"Ps","key":"2045","mappings":{"default":{"default":"soporte cuadrado izquierdo con pluma"}}},{"category":"Pe","key":"2046","mappings":{"default":{"default":"soporte cuadrado derecho con pluma"}}},{"key":"2308","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"Sm"},{"key":"2309","mappings":{"default":{"default":"esquina superior derecha"}},"category":"Sm"},{"key":"230A","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"Sm"},{"key":"230B","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"Sm"},{"key":"230C","mappings":{"default":{"default":"corte inferior derecho"}},"category":"So"},{"key":"230D","mappings":{"default":{"default":"corte inferior izquierdo"}},"category":"So"},{"key":"230E","mappings":{"default":{"default":"corte superior derecho "}},"category":"So"},{"key":"230F","mappings":{"default":{"default":"corte superior izquierdo"}},"category":"So"},{"key":"231C","mappings":{"default":{"default":"ángulo superior izquierdo"}},"category":"So"},{"key":"231D","mappings":{"default":{"default":"ángulo superior derecho"}},"category":"So"},{"key":"231E","mappings":{"default":{"default":"ángulo inferior izquierdo"}},"category":"So"},{"key":"231F","mappings":{"default":{"default":"ángulo inferior derecho"}},"category":"So"},{"key":"2320","mappings":{"default":{"default":"mitad superior de integral"}},"category":"Sm"},{"key":"2321","mappings":{"default":{"default":"mitad inferior de integral"}},"category":"Sm"},{"key":"2329","mappings":{"default":{"default":"paréntesis angular izquierdo"}},"category":"Ps"},{"key":"232A","mappings":{"default":{"default":"paréntesis angular derecho"}},"category":"Pe"},{"category":"Sm","key":"239B","mappings":{"default":{"default":"paréntesis izquierdo gancho superior"}}},{"category":"Sm","key":"239C","mappings":{"default":{"default":"extensión del paréntesis izquierdo"}}},{"category":"Sm","key":"239D","mappings":{"default":{"default":"paréntesis inferior gancho inferior"}}},{"category":"Sm","key":"239E","mappings":{"default":{"default":"paréntesis derecho gancho superior"}}},{"category":"Sm","key":"239F","mappings":{"default":{"default":"extensión del paréntesis derecho"}}},{"category":"Sm","key":"23A0","mappings":{"default":{"default":"paréntesis inferior gancho inferior"}}},{"category":"Sm","key":"23A1","mappings":{"default":{"default":"esquina cuadrada izquierda esquina superior"}}},{"category":"Sm","key":"23A2","mappings":{"default":{"default":"extensión del soporte cuadrado izquierdo"}}},{"category":"Sm","key":"23A3","mappings":{"default":{"default":"esquina cuadrada izquierda esquina inferior"}}},{"category":"Sm","key":"23A4","mappings":{"default":{"default":"esquina cuadrada derecha esquina superior"}}},{"category":"Sm","key":"23A5","mappings":{"default":{"default":"extensión de soporte cuadrado derecho"}}},{"category":"Sm","key":"23A6","mappings":{"default":{"default":"esquina cuadrada derecha esquina inferior"}}},{"category":"Sm","key":"23A7","mappings":{"default":{"default":"gancho superior rizado izquierdo"}}},{"category":"Sm","key":"23A8","mappings":{"default":{"default":"pedazo medio rizado izquierdo"}}},{"category":"Sm","key":"23A9","mappings":{"default":{"default":"soporte izquierdo rizado gancho inferior"}}},{"category":"Sm","key":"23AA","mappings":{"default":{"default":"extensión de soporte rizado"}}},{"category":"Sm","key":"23AB","mappings":{"default":{"default":"gancho superior rizado derecho"}}},{"category":"Sm","key":"23AC","mappings":{"default":{"default":"pedazo medio de soporte rizado derecho"}}},{"category":"Sm","key":"23AD","mappings":{"default":{"default":"abrazadera inferior derecha rizado"}}},{"category":"Sm","key":"23AE","mappings":{"default":{"default":"extensión integral"}}},{"category":"Sm","key":"23AF","mappings":{"default":{"default":"extensión de línea horizontal"}}},{"key":"23B0","mappings":{"default":{"default":"izquierda arriba o derecho debajo sección llave"}},"category":"Sm"},{"key":"23B1","mappings":{"default":{"default":"derecha arriba o izquierdo debajo sección llave"}},"category":"Sm"},{"category":"Sm","key":"23B2","mappings":{"default":{"default":"suma superior"}}},{"category":"Sm","key":"23B3","mappings":{"default":{"default":"parte inferior de la suma"}}},{"key":"23B4","mappings":{"default":{"default":"corchete superior"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"corchete inferior"}},"category":"So"},{"category":"So","key":"23B6","mappings":{"default":{"default":"soporte cuadrado inferior sobre soporte cuadrado superior"}}},{"category":"So","key":"23B7","mappings":{"default":{"default":"parte inferior del símbolo radical"}}},{"category":"So","key":"23B8","mappings":{"default":{"default":"línea de caja vertical izquierda"}}},{"category":"So","key":"23B9","mappings":{"default":{"default":"línea de caja vertical derecha"}}},{"key":"23DC","mappings":{"default":{"default":"paréntesis superior"}},"category":"Sm"},{"key":"23DD","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Sm"},{"key":"23DE","mappings":{"default":{"default":"corchete rizado superior"}},"category":"Sm"},{"key":"23DF","mappings":{"default":{"default":"corchete rizado inferior"}},"category":"Sm"},{"key":"23E0","mappings":{"default":{"default":"corchete superior en tortuga"}},"category":"Sm"},{"key":"23E1","mappings":{"default":{"default":"corchete inferior en tortuga"}},"category":"Sm"},{"category":"Ps","key":"2768","mappings":{"default":{"default":"ornamento de paréntesis izquierdo medio"}}},{"category":"Pe","key":"2769","mappings":{"default":{"default":"adorno de paréntesis medio derecho"}}},{"category":"Ps","key":"276A","mappings":{"default":{"default":"adorno paréntesis izquierdo aplanado medio"}}},{"category":"Pe","key":"276B","mappings":{"default":{"default":"adorno paréntesis derecho medio aplanado"}}},{"category":"Ps","key":"276C","mappings":{"default":{"default":"adorno de soporte de ángulo medio apuntando hacia la izquierda"}}},{"category":"Pe","key":"276D","mappings":{"default":{"default":"adorno de soporte de ángulo medio apuntando hacia la derecha"}}},{"category":"Ps","key":"276E","mappings":{"default":{"default":"ornamento de comillas en el ángulo que apunta hacia la izquierda"}}},{"category":"Pe","key":"276F","mappings":{"default":{"default":"ornamento de comillas en ángulo recto que apunta hacia la derecha"}}},{"category":"Ps","key":"2770","mappings":{"default":{"default":"ornamento pesado del soporte del ángulo que señala a la izquierda"}}},{"category":"Pe","key":"2771","mappings":{"default":{"default":"ornamento pesado del soporte del ángulo que señala hacia la derecha"}}},{"category":"Ps","key":"2772","mappings":{"default":{"default":"ornamento de soporte de concha de tortuga izquierda ligera"}}},{"category":"Pe","key":"2773","mappings":{"default":{"default":"ornamento de corchete derecho tortuga derecha"}}},{"category":"Ps","key":"2774","mappings":{"default":{"default":"ornamento de soporte rizado izquierdo medio"}}},{"category":"Pe","key":"2775","mappings":{"default":{"default":"ornamento de soporte rizado derecho medio"}}},{"key":"27C5","mappings":{"default":{"default":"símbolo delimitador izquierdo de bolsa de s-formó"}},"category":"Ps"},{"key":"27C6","mappings":{"default":{"default":"símbolo delimitador derecho de bolsa de s-formó"}},"category":"Pe"},{"key":"27E6","mappings":{"default":{"default":"corchete vacío izquierdo"}},"category":"Ps"},{"key":"27E7","mappings":{"default":{"default":"corchete vacío derecho"}},"category":"Pe"},{"key":"27E8","mappings":{"default":{"default":"corchete agudo izquierdo"}},"category":"Ps"},{"key":"27E9","mappings":{"default":{"default":"corchete agudo derecho"}},"category":"Pe"},{"key":"27EA","mappings":{"default":{"default":"doble corchete agudo izquierdo"}},"category":"Ps"},{"key":"27EB","mappings":{"default":{"default":"doble corchete agudo derecho"}},"category":"Pe"},{"key":"27EC","mappings":{"default":{"default":"corchete de tortuga vacío izquierdo"}},"category":"Ps"},{"key":"27ED","mappings":{"default":{"default":"corchete de tortuga vacío derecho "}},"category":"Pe"},{"key":"27EE","mappings":{"default":{"default":"paréntesis plano izquierdo"}},"category":"Ps"},{"key":"27EF","mappings":{"default":{"default":"paréntesis plano derecho"}},"category":"Pe"},{"category":"Ps","key":"2983","mappings":{"default":{"default":"soporte rizado blanco izquierdo"}}},{"category":"Pe","key":"2984","mappings":{"default":{"default":"derecha rizado blanco soporte"}}},{"key":"2985","mappings":{"default":{"default":"left white paren"}},"category":"Ps"},{"key":"2986","mappings":{"default":{"default":"right white paren"}},"category":"Pe"},{"category":"Ps","key":"2987","mappings":{"default":{"default":"notación Z izquierda soporte de imagen"}}},{"category":"Pe","key":"2988","mappings":{"default":{"default":"corchete de imagen derecha de notación Z"}}},{"key":"2989","mappings":{"default":{"default":"z notation left binding bracket"}},"category":"Ps"},{"key":"298A","mappings":{"default":{"default":"z notation right binding bracket"}},"category":"Pe"},{"key":"298B","mappings":{"default":{"default":"left bracket with underbar"}},"category":"Ps"},{"key":"298C","mappings":{"default":{"default":"right bracket with underbar"}},"category":"Pe"},{"key":"298D","mappings":{"default":{"default":"left bracket with tick in top corner"}},"category":"Ps"},{"key":"298E","mappings":{"default":{"default":"right bracket with tick in bottom corner"}},"category":"Pe"},{"key":"298F","mappings":{"default":{"default":"left bracket with tick in bottom corner"}},"category":"Ps"},{"key":"2990","mappings":{"default":{"default":"right bracket with tick in top corner"}},"category":"Pe"},{"key":"2991","mappings":{"default":{"default":"left angle bracket with dot"}},"category":"Ps"},{"key":"2992","mappings":{"default":{"default":"right angle bracket with dot"}},"category":"Pe"},{"key":"2993","mappings":{"default":{"default":"left arc less than bracket"}},"category":"Ps"},{"key":"2994","mappings":{"default":{"default":"right arc greater than bracket"}},"category":"Pe"},{"key":"2995","mappings":{"default":{"default":"double left arc greater than bracket"}},"category":"Ps"},{"key":"2996","mappings":{"default":{"default":"double right arc less than bracket"}},"category":"Pe"},{"category":"Ps","key":"2997","mappings":{"default":{"default":"soporte de concha de tortuga negra izquierda"}}},{"category":"Pe","key":"2998","mappings":{"default":{"default":"abrazadera de concha de tortuga negra derecha"}}},{"category":"Ps","key":"29D8","mappings":{"default":{"default":"valla izquierda ondulada"}}},{"category":"Pe","key":"29D9","mappings":{"default":{"default":"valla derecha ondulada"}}},{"key":"29DA","mappings":{"default":{"default":"left double wiggly fence"}},"category":"Ps"},{"key":"29DB","mappings":{"default":{"default":"right double wiggly fence"}},"category":"Pe"},{"category":"Ps","key":"29FC","mappings":{"default":{"default":"abrazadera de ángulo curvo a la izquierda"}}},{"category":"Pe","key":"29FD","mappings":{"default":{"default":"abrazadera de ángulo curvo orientada hacia la derecha"}}},{"category":"Ps","key":"2E22","mappings":{"default":{"default":"soporte superior izquierdo superior"}}},{"category":"Pe","key":"2E23","mappings":{"default":{"default":"medio soporte superior derecho"}}},{"category":"Ps","key":"2E24","mappings":{"default":{"default":"abrazadera inferior izquierda"}}},{"category":"Pe","key":"2E25","mappings":{"default":{"default":"medio soporte inferior derecho"}}},{"category":"Ps","key":"2E26","mappings":{"default":{"default":"soporte U lateral izquierdo"}}},{"category":"Pe","key":"2E27","mappings":{"default":{"default":"lado derecho U soporte"}}},{"category":"Ps","key":"2E28","mappings":{"default":{"default":"doble paréntesis izquierdo"}}},{"category":"Pe","key":"2E29","mappings":{"default":{"default":"paréntesis doble derecho"}}},{"category":"Ps","key":"3008","mappings":{"default":{"default":"soporte de ángulo izquierdo"}}},{"category":"Pe","key":"3009","mappings":{"default":{"default":"soporte de ángulo recto"}}},{"key":"300A","mappings":{"default":{"default":"paréntesis angular doble"}},"category":"Ps"},{"key":"300B","mappings":{"default":{"default":"paréntesis angular doble derecho","defaultMP":"cierra paréntesis angular doble"}},"category":"Pe"},{"category":"Ps","key":"300C","mappings":{"default":{"default":"soporte de la esquina izquierda"}}},{"category":"Pe","key":"300D","mappings":{"default":{"default":"soporte de esquina derecha"}}},{"category":"Ps","key":"300E","mappings":{"default":{"default":"soporte de esquina blanco izquierdo"}}},{"category":"Pe","key":"300F","mappings":{"default":{"default":"soporte de esquina blanco derecho"}}},{"category":"Ps","key":"3010","mappings":{"default":{"default":"soporte Lenticular Izquierdo Negro"}}},{"category":"Pe","key":"3011","mappings":{"default":{"default":"soporte Lenticular Negro Derecho"}}},{"key":"3014","mappings":{"default":{"default":"left tortoise shell bracket"}},"category":"Ps"},{"key":"3015","mappings":{"default":{"default":"right tortoise shell bracket"}},"category":"Pe"},{"category":"Ps","key":"3016","mappings":{"default":{"default":"soporte lenticular blanco izquierdo"}}},{"category":"Pe","key":"3017","mappings":{"default":{"default":"soporte lenticular blanco derecho"}}},{"category":"Ps","key":"3018","mappings":{"default":{"default":"soporte de caparazón de tortuga blanca izquierda"}}},{"category":"Pe","key":"3019","mappings":{"default":{"default":"soporte de concha de tortuga blanca derecha"}}},{"key":"301A","mappings":{"default":{"default":"corchete vacío"}},"category":"Ps"},{"key":"301B","mappings":{"default":{"default":"corchete vacío derecho","defaultMP":"cierra corchete vacío"}},"category":"Pe"},{"category":"Ps","key":"301D","mappings":{"default":{"default":"comilla doble invertida"}}},{"key":"301E","mappings":{"default":{"default":"segunda"}},"category":"Pe"},{"category":"Pe","key":"301F","mappings":{"default":{"default":"comillas bajas dobles"}}},{"category":"Ps","key":"FD3E","mappings":{"default":{"default":"paréntesis izquierdo adornado"}}},{"category":"Pe","key":"FD3F","mappings":{"default":{"default":"paréntesis derecho adornado"}}},{"category":"Ps","key":"FE17","mappings":{"default":{"default":"formulario de presentación para soporte lenticular blanco izquierdo vertical"}}},{"category":"Pe","key":"FE18","mappings":{"default":{"default":"formulario de presentación para soporte lenticular blanco vertical derecho"}}},{"key":"FE35","mappings":{"default":{"default":"paréntesis superior"}},"category":"Ps"},{"key":"FE36","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Pe"},{"key":"FE37","mappings":{"default":{"default":"llave superior"}},"category":"Ps"},{"key":"FE38","mappings":{"default":{"default":"llave inferior"}},"category":"Pe"},{"category":"Ps","key":"FE39","mappings":{"default":{"default":"formulario de presentación para el soporte vertical de concha de tortuga izquierda"}}},{"category":"Pe","key":"FE3A","mappings":{"default":{"default":"formulario de presentación para el soporte vertical de concha de tortuga derecha"}}},{"category":"Ps","key":"FE3B","mappings":{"default":{"default":"formulario de presentación para el soporte lenticular negro izquierdo vertical"}}},{"category":"Pe","key":"FE3C","mappings":{"default":{"default":"formulario de presentación para el soporte lenticular negro derecho vertical"}}},{"category":"Ps","key":"FE3D","mappings":{"default":{"default":"formulario de presentación para soporte vertical doble ángulo izquierdo"}}},{"category":"Pe","key":"FE3E","mappings":{"default":{"default":"formulario de presentación para el soporte de ángulo recto doble vertical"}}},{"key":"FE3F","mappings":{"default":{"default":"paréntesis angular superior"}},"category":"Ps"},{"key":"FE40","mappings":{"default":{"default":"paréntesis angular inferior"}},"category":"Pe"},{"category":"Ps","key":"FE41","mappings":{"default":{"default":"formulario de presentación para soporte de esquina vertical izquierda"}}},{"category":"Pe","key":"FE42","mappings":{"default":{"default":"formulario de presentación para soporte de esquina vertical derecha"}}},{"category":"Ps","key":"FE43","mappings":{"default":{"default":"formulario de presentación para soporte de esquina blanco vertical izquierdo"}}},{"category":"Pe","key":"FE44","mappings":{"default":{"default":"formulario de presentación para soporte de esquina vertical derecha blanca"}}},{"category":"Ps","key":"FE47","mappings":{"default":{"default":"formulario de presentación para soporte cuadrado vertical izquierdo"}}},{"category":"Pe","key":"FE48","mappings":{"default":{"default":"formulario de presentación para soporte cuadrado vertical derecho"}}},{"category":"Ps","key":"FE59","mappings":{"default":{"default":"pequeño paréntesis izquierdo"}}},{"category":"Pe","key":"FE5A","mappings":{"default":{"default":"paréntesis derecho pequeño"}}},{"category":"Ps","key":"FE5B","mappings":{"default":{"default":"corchete Rizado Izquierdo Pequeño"}}},{"category":"Pe","key":"FE5C","mappings":{"default":{"default":"corchete derecho rizado pequeño"}}},{"category":"Ps","key":"FE5D","mappings":{"default":{"default":"soporte de concha pequeña tortuga izquierda"}}},{"category":"Pe","key":"FE5E","mappings":{"default":{"default":"pequeño corchete derecho de concha de tortuga"}}},{"category":"Ps","key":"FF08","mappings":{"default":{"default":"paréntesis izquierdo de ancho completo"}}},{"category":"Pe","key":"FF09","mappings":{"default":{"default":"paréntesis derecho de ancho completo"}}},{"category":"Ps","key":"FF3B","mappings":{"default":{"default":"soporte cuadrado izquierdo de ancho completo"}}},{"category":"Pe","key":"FF3D","mappings":{"default":{"default":"soporte cuadrado derecho de ancho completo"}}},{"category":"Ps","key":"FF5B","mappings":{"default":{"default":"corchete rizado izquierdo de ancho completo"}}},{"category":"Pe","key":"FF5D","mappings":{"default":{"default":"corchete derecho de ancho completo"}}},{"category":"Ps","key":"FF5F","mappings":{"default":{"default":"paréntesis blanco izquierdo de ancho completo"}}},{"category":"Pe","key":"FF60","mappings":{"default":{"default":"paréntesis blanco derecho de ancho completo"}}},{"category":"Ps","key":"FF62","mappings":{"default":{"default":"corchete de esquina izquierda de medio ancho"}}},{"category":"Pe","key":"FF63","mappings":{"default":{"default":"soporte de esquina derecha de medio ancho"}}}]
+,
+"es/symbols/math_geometry.js": 
+[{"locale":"es"},{"key":"2500","mappings":{"default":{"default":"delimitador horizontal"}},"category":"So"},{"category":"So","key":"2501","mappings":{"default":{"default":"dibujos de cajas pesadas horizontales"}}},{"key":"2502","mappings":{"default":{"default":"delimitador vertical"}},"category":"So"},{"category":"So","key":"2503","mappings":{"default":{"default":"dibujos de cajas Pesado Vertical"}}},{"category":"So","key":"2504","mappings":{"default":{"default":"dibujos de cajas Light Triple Dash Horizontal"}}},{"category":"So","key":"2505","mappings":{"default":{"default":"dibujos de cajas Heavy Triple Dash Horizontal"}}},{"category":"So","key":"2506","mappings":{"default":{"default":"dibujos de cajas Light Triple Dash Vertical"}}},{"category":"So","key":"2507","mappings":{"default":{"default":"dibujos de cajas Heavy Triple Dash Vertical"}}},{"category":"So","key":"2508","mappings":{"default":{"default":"caja Dibujos Ligero Cuadruple Dash Horizontal"}}},{"category":"So","key":"2509","mappings":{"default":{"default":"dibujos de cajas Heavy Quadruple Dash Horizontal"}}},{"category":"So","key":"250A","mappings":{"default":{"default":"caja Dibujos Luz Cuadruple Tablero Vertical"}}},{"category":"So","key":"250B","mappings":{"default":{"default":"dibujos de cajas Heavy Quadruple Dash Vertical"}}},{"key":"250C","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"So"},{"category":"So","key":"250D","mappings":{"default":{"default":"dibujos de cajas Abajo Ligero y Derecho Pesado"}}},{"category":"So","key":"250E","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y rectos ligeros"}}},{"category":"So","key":"250F","mappings":{"default":{"default":"dibujos de cajas pesados ​​abajo y derecha"}}},{"key":"2510","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"So"},{"category":"So","key":"2511","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y pesados ​​a la izquierda"}}},{"category":"So","key":"2512","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y luz izquierda"}}},{"category":"So","key":"2513","mappings":{"default":{"default":"dibujos de cajas pesados ​​hacia abajo y hacia la izquierda"}}},{"key":"2514","mappings":{"default":{"default":"esquina superior derecha"}},"category":"So"},{"category":"So","key":"2515","mappings":{"default":{"default":"dibujos de cajas hasta ligero y derecho pesado"}}},{"category":"So","key":"2516","mappings":{"default":{"default":"dibujos de cajas hasta Pesadas y Ligeras"}}},{"category":"So","key":"2517","mappings":{"default":{"default":"dibujos de cajas pesados ​​y derechos"}}},{"key":"2518","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"So"},{"category":"So","key":"2519","mappings":{"default":{"default":"dibujos de cajas hasta livianos y pesados ​​a la izquierda"}}},{"category":"So","key":"251A","mappings":{"default":{"default":"dibujos de cajas hasta pesado y luz izquierda"}}},{"category":"So","key":"251B","mappings":{"default":{"default":"dibujos de cajas pesados ​​hacia arriba y hacia la izquierda"}}},{"key":"251C","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal"}},"category":"So"},{"category":"So","key":"251D","mappings":{"default":{"default":"cuadros de caja Vertical ligero y derecho pesado"}}},{"category":"So","key":"251E","mappings":{"default":{"default":"dibujos de cajas hasta pesados ​​y rectos hacia abajo"}}},{"category":"So","key":"251F","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y rectos arriba ligeros"}}},{"category":"So","key":"2520","mappings":{"default":{"default":"dibujos de cajas verticales pesadas y rectas ligeras"}}},{"category":"So","key":"2521","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y rectos arriba pesados"}}},{"category":"So","key":"2522","mappings":{"default":{"default":"dibujos de cajas para arriba livianos y rectos para abajo pesados"}}},{"category":"So","key":"2523","mappings":{"default":{"default":"dibujos de cajas pesadas verticales y derechas"}}},{"key":"2524","mappings":{"default":{"default":"delimitador derecho y separador horizontal"}},"category":"So"},{"category":"So","key":"2525","mappings":{"default":{"default":"cuadros de caja Vertical ligero y izquierdo pesado"}}},{"category":"So","key":"2526","mappings":{"default":{"default":"dibujos de cajas para arriba Pesado y Izquierda Abajo Luz"}}},{"category":"So","key":"2527","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y luz izquierda arriba"}}},{"category":"So","key":"2528","mappings":{"default":{"default":"dibujos de cajas verticales pesadas y luz izquierda"}}},{"category":"So","key":"2529","mappings":{"default":{"default":"dibujos de cajas abajo ligeros e izquierdos arriba pesados"}}},{"category":"So","key":"252A","mappings":{"default":{"default":"dibujos de cajas para arriba Ligero y Izquierda Abajo Pesado"}}},{"category":"So","key":"252B","mappings":{"default":{"default":"dibujos de cajas pesadas verticales e izquierdas"}}},{"key":"252C","mappings":{"default":{"default":"delimitador superior y separador vertical"}},"category":"So"},{"category":"So","key":"252D","mappings":{"default":{"default":"dibujos de cajas izquierda pesados ​​y derecha abajo luz"}}},{"category":"So","key":"252E","mappings":{"default":{"default":"dibujos de cajas, derecha, pesada y izquierda abajo, luz"}}},{"category":"So","key":"252F","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y horizontales pesados"}}},{"category":"So","key":"2530","mappings":{"default":{"default":"dibujos de cajas de luz pesada y horizontal"}}},{"category":"So","key":"2531","mappings":{"default":{"default":"dibujos de la caja de luz derecha y izquierda abajo pesado"}}},{"category":"So","key":"2532","mappings":{"default":{"default":"cuadros de caja izquierda ligera y derecha abajo pesada"}}},{"category":"So","key":"2533","mappings":{"default":{"default":"dibujos de cajas pesados ​​y horizontales"}}},{"key":"2534","mappings":{"default":{"default":"delimitador inferior y separador vertical"}},"category":"So"},{"category":"So","key":"2535","mappings":{"default":{"default":"dibujos de cajas izquierda pesada y derecha arriba ligera"}}},{"category":"So","key":"2536","mappings":{"default":{"default":"dibujos de caja derecha pesada y luz izquierda arriba"}}},{"category":"So","key":"2537","mappings":{"default":{"default":"dibujos de cajas hasta ligero y horizontal pesado"}}},{"category":"So","key":"2538","mappings":{"default":{"default":"dibujos de cajas hasta luz pesada y horizontal"}}},{"category":"So","key":"2539","mappings":{"default":{"default":"dibujos de cajas a la derecha, livianos y a la izquierda, pesados"}}},{"category":"So","key":"253A","mappings":{"default":{"default":"dibujos de cajas Izquierda Ligera y Derecha Arriba Pesada"}}},{"category":"So","key":"253B","mappings":{"default":{"default":"dibujos de cajas pesados ​​y horizontales"}}},{"key":"253C","mappings":{"default":{"default":"cruce de separadores sencillos"}},"category":"So"},{"category":"So","key":"253D","mappings":{"default":{"default":"dibujos de cajas Izquierda Pesada y Derecha Vertical Luz"}}},{"category":"So","key":"253E","mappings":{"default":{"default":"dibujos de caja derecha pesada y luz vertical izquierda"}}},{"category":"So","key":"253F","mappings":{"default":{"default":"dibujos de cajas Vertical Ligera y Horizontal Pesada"}}},{"category":"So","key":"2540","mappings":{"default":{"default":"dibujos de cajas para arriba pesados ​​y abajo luz horizontal"}}},{"category":"So","key":"2541","mappings":{"default":{"default":"dibujos de cajas hacia abajo pesados ​​y hacia arriba luz horizontal"}}},{"category":"So","key":"2542","mappings":{"default":{"default":"dibujos de cajas verticales pesadas y horizontales ligeras"}}},{"category":"So","key":"2543","mappings":{"default":{"default":"dibujos de cajas Izquierda Arriba Pesada y Derecha abajo Luz"}}},{"category":"So","key":"2544","mappings":{"default":{"default":"dibujos de caja derecha arriba pesada y izquierda abajo luz"}}},{"category":"So","key":"2545","mappings":{"default":{"default":"dibujos de cajas, izquierda abajo, pesada y derecha arriba, ligera"}}},{"category":"So","key":"2546","mappings":{"default":{"default":"dibujos de la caja derecha abajo pesada y izquierda arriba ligera"}}},{"category":"So","key":"2547","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y ascendentes horizontales pesados"}}},{"category":"So","key":"2548","mappings":{"default":{"default":"dibujos de cajas para arriba Ligero y para abajo horizontal pesado"}}},{"category":"So","key":"2549","mappings":{"default":{"default":"dibujos de cajas a la derecha, ligeros y a la izquierda, verticales, pesados"}}},{"category":"So","key":"254A","mappings":{"default":{"default":"dibujos de cajas Izquierda Ligera y Derecha Vertical Pesada"}}},{"category":"So","key":"254B","mappings":{"default":{"default":"dibujos de cajas pesadas verticales y horizontales"}}},{"category":"So","key":"254C","mappings":{"default":{"default":"dibujos de cajas Light Double Dash Horizontal"}}},{"category":"So","key":"254D","mappings":{"default":{"default":"dibujos de cajas Heavy Double Dash Horizontal"}}},{"category":"So","key":"254E","mappings":{"default":{"default":"dibujos de cajas Light Double Dash Vertical"}}},{"category":"So","key":"254F","mappings":{"default":{"default":"dibujos de cajas Heavy Double Dash Vertical"}}},{"key":"2550","mappings":{"default":{"default":"delimitador horizontal doble"}},"category":"So"},{"key":"2551","mappings":{"default":{"default":"delimitador vertical doble"}},"category":"So"},{"key":"2552","mappings":{"default":{"default":"esquina inferior derecha, vertical doble"}},"category":"So"},{"key":"2553","mappings":{"default":{"default":"esquina inferior derecha, horizontal doble"}},"category":"So"},{"key":"2554","mappings":{"default":{"default":"esquina inferior derecha doble"}},"category":"So"},{"key":"2555","mappings":{"default":{"default":"esquina inferior izquierda, vertical doble"}},"category":"So"},{"key":"2556","mappings":{"default":{"default":"esquina inferior izquierda, horizontal doble"}},"category":"So"},{"key":"2557","mappings":{"default":{"default":"esquina inferior izquierda doble"}},"category":"So"},{"key":"2558","mappings":{"default":{"default":"esquina superior derecha, vertical doble"}},"category":"So"},{"key":"2559","mappings":{"default":{"default":"esquina superior derecha, horizontal doble"}},"category":"So"},{"key":"255A","mappings":{"default":{"default":"esquina superior derecha doble"}},"category":"So"},{"key":"255B","mappings":{"default":{"default":"esquina superior izquierda, vertical doble"}},"category":"So"},{"key":"255C","mappings":{"default":{"default":"esquina superior izquierda, horizontal doble"}},"category":"So"},{"key":"255D","mappings":{"default":{"default":"esquina superior izquierda doble"}},"category":"So"},{"key":"255E","mappings":{"default":{"default":"delimitador izquierdo con separador doble"}},"category":"So"},{"key":"255F","mappings":{"default":{"default":"delimitador izquierdo doble con separador horizontal"}},"category":"So"},{"key":"2560","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal dobles"}},"category":"So"},{"key":"2561","mappings":{"default":{"default":"delimitador derecho con separador doble"}},"category":"So"},{"key":"2562","mappings":{"default":{"default":"delimitador derecho doble con separador horizontal"}},"category":"So"},{"key":"2563","mappings":{"default":{"default":"delimitador derecho y separador horizontal dobles"}},"category":"So"},{"key":"2564","mappings":{"default":{"default":"delimitador superior doble con separador vertical"}},"category":"So"},{"key":"2565","mappings":{"default":{"default":"delimitador superior con separador vertical doble"}},"category":"So"},{"key":"2566","mappings":{"default":{"default":"delimitador superior y separador vertical dobles"}},"category":"So"},{"key":"2567","mappings":{"default":{"default":"delimitador inferior doble con separador vertical"}},"category":"So"},{"key":"2568","mappings":{"default":{"default":"delimitador inferior con separador vertical doble"}},"category":"So"},{"key":"2569","mappings":{"default":{"default":"delimitador inferior y separador vertical dobles"}},"category":"So"},{"key":"256A","mappings":{"default":{"default":"cruce de separadores, vertical sencillo y horizontal doble"}},"category":"So"},{"key":"256B","mappings":{"default":{"default":"cruce de separadores, vertical doble y horizontal sencillo"}},"category":"So"},{"key":"256C","mappings":{"default":{"default":"cruce de separadores dobles"}},"category":"So"},{"category":"So","key":"256D","mappings":{"default":{"default":"dibujos de cajas de luz arco abajo y derecha"}}},{"category":"So","key":"256E","mappings":{"default":{"default":"dibujos de cajas de luz arco hacia abajo y hacia la izquierda"}}},{"category":"So","key":"256F","mappings":{"default":{"default":"dibujos de cajas de luz arco arriba y a la izquierda"}}},{"category":"So","key":"2570","mappings":{"default":{"default":"caja de dibujos de luz arco arriba y derecha"}}},{"category":"So","key":"2571","mappings":{"default":{"default":"dibujos de cajas Luz Diagonal Superior derecha a inferior izquierda"}}},{"category":"So","key":"2572","mappings":{"default":{"default":"dibujos de cajas Luz Diagonal Superior izquierda a inferior derecha"}}},{"category":"So","key":"2573","mappings":{"default":{"default":"dibujos de cajas de luz diagonal cruz"}}},{"category":"So","key":"2574","mappings":{"default":{"default":"dibujos de cajas luz izquierda"}}},{"category":"So","key":"2575","mappings":{"default":{"default":"dibujos de cajas se iluminan"}}},{"category":"So","key":"2576","mappings":{"default":{"default":"dibujos de cajas a la derecha"}}},{"category":"So","key":"2577","mappings":{"default":{"default":"dibujos de cajas de luz hacia abajo"}}},{"category":"So","key":"2578","mappings":{"default":{"default":"dibujos de cajas pesados ​​a la izquierda"}}},{"category":"So","key":"2579","mappings":{"default":{"default":"dibujos de cajas pesados"}}},{"category":"So","key":"257A","mappings":{"default":{"default":"caja de dibujos pesado derecho"}}},{"category":"So","key":"257B","mappings":{"default":{"default":"dibujos de cajas pesados"}}},{"category":"So","key":"257C","mappings":{"default":{"default":"dibujos de cajas Ligero Izquierda y Pesada Derecha"}}},{"category":"So","key":"257D","mappings":{"default":{"default":"dibujos de cajas iluminados y pesados"}}},{"category":"So","key":"257E","mappings":{"default":{"default":"dibujos de cajas Pesado Izquierda y Luz Derecha"}}},{"category":"So","key":"257F","mappings":{"default":{"default":"dibujos de cajas pesados ​​y ligeros"}}},{"key":"2580","mappings":{"default":{"default":"bloque mitad superior"}},"category":"So"},{"category":"So","key":"2581","mappings":{"default":{"default":"bajar un octavo bloque"}}},{"category":"So","key":"2582","mappings":{"default":{"default":"bloque de un cuarto inferior"}}},{"category":"So","key":"2583","mappings":{"default":{"default":"bloque de tres octavos más bajo"}}},{"key":"2584","mappings":{"default":{"default":"bloque mitad inferior"}},"category":"So"},{"category":"So","key":"2585","mappings":{"default":{"default":"bloque inferior de cinco octavos"}}},{"category":"So","key":"2586","mappings":{"default":{"default":"bloque de tres cuartos más bajo"}}},{"category":"So","key":"2587","mappings":{"default":{"default":"lower Seven Eighths Block"}}},{"key":"2588","mappings":{"default":{"default":"bloque"}},"category":"So"},{"category":"So","key":"2589","mappings":{"default":{"default":"bloque de siete octavos a la izquierda"}}},{"category":"So","key":"258A","mappings":{"default":{"default":"bloque de tres cuartos a la izquierda"}}},{"category":"So","key":"258B","mappings":{"default":{"default":"bloque de cinco octavos a la izquierda"}}},{"category":"So","key":"258C","mappings":{"default":{"default":"media cuadra izquierda"}}},{"category":"So","key":"258D","mappings":{"default":{"default":"bloque de tres octavos a la izquierda"}}},{"category":"So","key":"258E","mappings":{"default":{"default":"bloque de un cuarto a la izquierda"}}},{"category":"So","key":"258F","mappings":{"default":{"default":"izquierda un octavo bloque"}}},{"category":"So","key":"2590","mappings":{"default":{"default":"media cuadra derecha"}}},{"key":"2591","mappings":{"default":{"default":"sombra ligera"}},"category":"So"},{"key":"2592","mappings":{"default":{"default":"sombra media"}},"category":"So"},{"key":"2593","mappings":{"default":{"default":"sombra intensa"}},"category":"So"},{"category":"So","key":"2594","mappings":{"default":{"default":"upper One Eighth Block"}}},{"category":"So","key":"2595","mappings":{"default":{"default":"a la derecha un octavo bloque"}}},{"category":"So","key":"2596","mappings":{"default":{"default":"cuadrante inferior izquierdo"}}},{"category":"So","key":"2597","mappings":{"default":{"default":"cuadrante inferior derecho"}}},{"category":"So","key":"2598","mappings":{"default":{"default":"cuadrante superior izquierdo"}}},{"category":"So","key":"2599","mappings":{"default":{"default":"cuadrante superior izquierdo e inferior izquierdo e inferior derecho"}}},{"category":"So","key":"259A","mappings":{"default":{"default":"cuadrante superior izquierdo e inferior derecho"}}},{"category":"So","key":"259B","mappings":{"default":{"default":"cuadrante superior izquierdo y superior derecho e inferior izquierdo"}}},{"category":"So","key":"259C","mappings":{"default":{"default":"cuadrante superior izquierdo y superior derecho e inferior derecho"}}},{"category":"So","key":"259D","mappings":{"default":{"default":"cuadrante superior derecho"}}},{"category":"So","key":"259E","mappings":{"default":{"default":"cuadrante superior derecho e inferior izquierdo"}}},{"category":"So","key":"259F","mappings":{"default":{"default":"cuadrante superior derecho e inferior izquierdo e inferior derecho"}}},{"key":"25A0","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25A1","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"category":"So","key":"25A2","mappings":{"default":{"default":"cuadrado blanco con esquinas redondeadas"}}},{"category":"So","key":"25A3","mappings":{"default":{"default":"cuadrado blanco que contiene cuadrado pequeño negro"}}},{"category":"So","key":"25A4","mappings":{"default":{"default":"cuadrado con relleno horizontal"}}},{"category":"So","key":"25A5","mappings":{"default":{"default":"cuadrado con relleno vertical"}}},{"category":"So","key":"25A6","mappings":{"default":{"default":"cuadrado con relleno de rayado ortogonal"}}},{"category":"So","key":"25A7","mappings":{"default":{"default":"cuadrado con la esquina superior izquierda a la derecha inferior"}}},{"category":"So","key":"25A8","mappings":{"default":{"default":"cuadrado con la parte superior derecha hacia abajo izquierda Relleno"}}},{"category":"So","key":"25A9","mappings":{"default":{"default":"cuadrado con relleno de rayado diagonal"}}},{"key":"25AA","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25AB","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"category":"So","key":"25AC","mappings":{"default":{"default":"rectángulo negro"}}},{"key":"25AD","mappings":{"default":{"default":"rectángulo"}},"category":"So"},{"key":"25AE","mappings":{"default":{"default":"rectángulo relleno vertical"}},"category":"So"},{"key":"25AF","mappings":{"default":{"default":"rectángulo vertical"}},"category":"So"},{"category":"So","key":"25B0","mappings":{"default":{"default":"paralelogramo negro"}}},{"key":"25B1","mappings":{"default":{"default":"paralelogramo"}},"category":"So"},{"key":"25B2","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B3","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B4","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B5","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B6","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B7","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"Sm"},{"key":"25B8","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B9","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"So"},{"category":"So","key":"25BA","mappings":{"default":{"default":"indicador de apuntar hacia la derecha negro"}}},{"category":"So","key":"25BB","mappings":{"default":{"default":"puntero de apuntar hacia la derecha blanco"}}},{"key":"25BC","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BD","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25BE","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BF","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25C0","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C1","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"Sm"},{"key":"25C2","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C3","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"So"},{"key":"25C4","mappings":{"default":{"default":"puntero relleno señala izquierda"}},"category":"So"},{"key":"25C5","mappings":{"default":{"default":"puntero señala izquierda"}},"category":"So"},{"key":"25C6","mappings":{"default":{"default":"diamante relleno"}},"category":"So"},{"key":"25C7","mappings":{"default":{"default":"diamante"}},"category":"So"},{"key":"25C8","mappings":{"default":{"default":"diamante vacío contiene diamante relleno"}},"category":"So"},{"key":"25C9","mappings":{"default":{"default":"ojo de pez"}},"category":"So"},{"key":"25CA","mappings":{"default":{"default":"rombo"}},"category":"So"},{"key":"25CB","mappings":{"default":{"default":"círculo vacío"}},"category":"So"},{"key":"25CC","mappings":{"default":{"default":"círculo punteado"}},"category":"So"},{"key":"25CD","mappings":{"default":{"default":"círculo con relleno vertical"}},"category":"So"},{"key":"25CE","mappings":{"default":{"default":"blanco"}},"category":"So"},{"key":"25CF","mappings":{"default":{"default":"círculo relleno"}},"category":"So"},{"key":"25D0","mappings":{"default":{"default":"círculo con mitad izquierda rellena"}},"category":"So"},{"key":"25D1","mappings":{"default":{"default":"círculo con mitad derecha rellena"}},"category":"So"},{"key":"25D2","mappings":{"default":{"default":"círculo con mitad inferior rellena"}},"category":"So"},{"key":"25D3","mappings":{"default":{"default":"círculo con mitad superior rellena"}},"category":"So"},{"key":"25D4","mappings":{"default":{"default":"círculo con cuadrante superior derecho relleno"}},"category":"So"},{"key":"25D5","mappings":{"default":{"default":"círculo con cuadrante superior izquierdo relleno"}},"category":"So"},{"key":"25D6","mappings":{"default":{"default":"semicírculo izquierdo relleno"}},"category":"So"},{"key":"25D7","mappings":{"default":{"default":"semicírculo derecho relleno"}},"category":"So"},{"key":"25D8","mappings":{"default":{"default":"bullet inversa"}},"category":"So"},{"key":"25D9","mappings":{"default":{"default":"círculo vacío inverso"}},"category":"So"},{"key":"25DA","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DB","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DC","mappings":{"default":{"default":"arco superior izquierda"}},"category":"So"},{"key":"25DD","mappings":{"default":{"default":"arco superior derecha"}},"category":"So"},{"key":"25DE","mappings":{"default":{"default":"arco inferior derecha"}},"category":"So"},{"key":"25DF","mappings":{"default":{"default":"arco inferior izquierda"}},"category":"So"},{"key":"25E0","mappings":{"default":{"default":"semicírculo superior"}},"category":"So"},{"key":"25E1","mappings":{"default":{"default":"semicírculo inferior"}},"category":"So"},{"key":"25E2","mappings":{"default":{"default":"triángulo inferior derecha relleno"}},"category":"So"},{"key":"25E3","mappings":{"default":{"default":"triángulo inferior izquierda relleno"}},"category":"So"},{"key":"25E4","mappings":{"default":{"default":"triángulo superior izquierda relleno"}},"category":"So"},{"key":"25E5","mappings":{"default":{"default":"triángulo superior derecha relleno"}},"category":"So"},{"key":"25E6","mappings":{"default":{"default":"composición"}},"category":"So"},{"key":"25E7","mappings":{"default":{"default":"cuadrado con mitad izquierda rellena"}},"category":"So"},{"key":"25E8","mappings":{"default":{"default":"cuadrado con mitad derecha rellena"}},"category":"So"},{"key":"25E9","mappings":{"default":{"default":"cuadrado con mitad superior izquierda rellena"}},"category":"So"},{"key":"25EA","mappings":{"default":{"default":"cuadrado con mitad inferior derecha rellena"}},"category":"So"},{"key":"25EB","mappings":{"default":{"default":"cuadrado con bisectriz"}},"category":"So"},{"key":"25EC","mappings":{"default":{"default":"triángulo vacío con punto"}},"category":"So"},{"key":"25ED","mappings":{"default":{"default":"triángulo apuntando arriba con mitad izquierda rellena"}},"category":"So"},{"key":"25EE","mappings":{"default":{"default":"triángulo apuntando arriba con mitad derecha rellena"}},"category":"So"},{"key":"25EF","mappings":{"default":{"default":"círculo grande"}},"category":"So"},{"category":"So","key":"25F0","mappings":{"default":{"default":"cuadrado blanco con cuadrante superior izquierdo"}}},{"category":"So","key":"25F1","mappings":{"default":{"default":"cuadrado blanco con cuadrante inferior izquierdo"}}},{"category":"So","key":"25F2","mappings":{"default":{"default":"cuadrado blanco con cuadrante inferior derecho"}}},{"category":"So","key":"25F3","mappings":{"default":{"default":"cuadrado blanco con cuadrante superior derecho"}}},{"category":"So","key":"25F4","mappings":{"default":{"default":"círculo blanco con cuadrante superior izquierdo"}}},{"category":"So","key":"25F5","mappings":{"default":{"default":"círculo blanco con cuadrante inferior izquierdo"}}},{"category":"So","key":"25F6","mappings":{"default":{"default":"círculo blanco con cuadrante inferior derecho"}}},{"category":"So","key":"25F7","mappings":{"default":{"default":"círculo blanco con cuadrante superior derecho"}}},{"key":"25F8","mappings":{"default":{"default":"triángulo superior izquierda"}},"category":"Sm"},{"key":"25F9","mappings":{"default":{"default":"triángulo superior derecha"}},"category":"Sm"},{"key":"25FA","mappings":{"default":{"default":"triángulo inferior izquierda"}},"category":"Sm"},{"key":"25FB","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FC","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FD","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FE","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FF","mappings":{"default":{"default":"triángulo inferior derecha"}},"category":"Sm"},{"category":"So","key":"2B12","mappings":{"default":{"default":"cuadrado con mitad superior negra"}}},{"category":"So","key":"2B13","mappings":{"default":{"default":"cuadrado con mitad inferior negra"}}},{"category":"So","key":"2B14","mappings":{"default":{"default":"cuadrado con mitad derecha superior diagonal negra"}}},{"category":"So","key":"2B15","mappings":{"default":{"default":"cuadrado con mitad diagonal izquierda inferior negra"}}},{"category":"So","key":"2B16","mappings":{"default":{"default":"diamante con Mitad Izquierda Negro"}}},{"category":"So","key":"2B17","mappings":{"default":{"default":"diamante con mitad derecha negra"}}},{"category":"So","key":"2B18","mappings":{"default":{"default":"diamante con mitad superior negra"}}},{"category":"So","key":"2B19","mappings":{"default":{"default":"diamante con mitad inferior negra"}}},{"category":"So","key":"2B1A","mappings":{"default":{"default":"cuadrado punteado"}}},{"category":"So","key":"2B1B","mappings":{"default":{"default":"cuadrado grande negro"}}},{"category":"So","key":"2B1C","mappings":{"default":{"default":"gran Plaza Blanca"}}},{"category":"So","key":"2B1D","mappings":{"default":{"default":"cuadrado muy pequeño negro"}}},{"category":"So","key":"2B1E","mappings":{"default":{"default":"cuadrado muy pequeño blanco"}}},{"category":"So","key":"2B1F","mappings":{"default":{"default":"pentágono negro"}}},{"category":"So","key":"2B20","mappings":{"default":{"default":"pentágono blanco"}}},{"category":"So","key":"2B21","mappings":{"default":{"default":"hexágono blanco"}}},{"category":"So","key":"2B22","mappings":{"default":{"default":"hexágono negro"}}},{"category":"So","key":"2B23","mappings":{"default":{"default":"hexagonal negro horizontal"}}},{"category":"So","key":"2B24","mappings":{"default":{"default":"circulo grande negro"}}},{"category":"So","key":"2B25","mappings":{"default":{"default":"diamante Mediano Negro"}}},{"category":"So","key":"2B26","mappings":{"default":{"default":"diamante blanco medio"}}},{"category":"So","key":"2B27","mappings":{"default":{"default":"lozenge Mediano Negro"}}},{"category":"So","key":"2B28","mappings":{"default":{"default":"pastilla blanca mediana"}}},{"category":"So","key":"2B29","mappings":{"default":{"default":"pequeño diamante negro"}}},{"category":"So","key":"2B2A","mappings":{"default":{"default":"lozenge pequeño negro"}}},{"category":"So","key":"2B2B","mappings":{"default":{"default":"lozenge pequeño blanco"}}},{"category":"So","key":"2B2C","mappings":{"default":{"default":"elipse horizontal negro"}}},{"category":"So","key":"2B2D","mappings":{"default":{"default":"elipse horizontal blanco"}}},{"category":"So","key":"2B2E","mappings":{"default":{"default":"elipse Vertical Negro"}}},{"category":"So","key":"2B2F","mappings":{"default":{"default":"elipse Vertical Blanco"}}},{"key":"2B50","mappings":{"default":{"default":"estrella media vacía"}},"category":"So"},{"key":"2B51","mappings":{"default":{"default":"estrella pequeña rellena"}},"category":"So"},{"key":"2B52","mappings":{"default":{"default":"estrella pequeña vacía"}},"category":"So"},{"category":"So","key":"2B53","mappings":{"default":{"default":"pentágono negro que señala hacia la derecha"}}},{"category":"So","key":"2B54","mappings":{"default":{"default":"pentágono blanco que señala hacia la derecha"}}},{"category":"So","key":"2B55","mappings":{"default":{"default":"círculo grande pesado"}}},{"category":"So","key":"2B56","mappings":{"default":{"default":"óvalo pesado con interior oval"}}},{"category":"So","key":"2B57","mappings":{"default":{"default":"círculo pesado con círculo dentro"}}},{"category":"So","key":"2B58","mappings":{"default":{"default":"círculo pesado"}}},{"category":"So","key":"2B59","mappings":{"default":{"default":"saltire en círculo pesado"}}}]
+,
+"es/symbols/math_harpoons.js": 
+[{"locale":"es"},{"key":"21BC","mappings":{"default":{"default":"flecha izquierda con arpón arriba"}},"category":"So"},{"key":"21BD","mappings":{"default":{"default":"flecha izquierda con arpón debajo"}},"category":"So"},{"key":"21BE","mappings":{"default":{"default":"flecha arriba con arpón derecho"}},"category":"So"},{"key":"21BF","mappings":{"default":{"default":"flecha arriba con arpón izquierdo"}},"category":"So"},{"key":"21C0","mappings":{"default":{"default":"flecha derecha con arpón arriba"}},"category":"So"},{"key":"21C1","mappings":{"default":{"default":"flecha derecha con arpón debajo"}},"category":"So"},{"key":"21C2","mappings":{"default":{"default":"flecha abajo con arpón derecho"}},"category":"So"},{"key":"21C3","mappings":{"default":{"default":"flecha abajo con arpón izquierdo"}},"category":"So"},{"key":"21CB","mappings":{"default":{"default":"arpón izquierdo arriba de arpón derecho"}},"category":"So"},{"key":"21CC","mappings":{"default":{"default":"arpón derecho arriba de arpón izquierdo"}},"category":"So"},{"category":"Sm","key":"294A","mappings":{"default":{"default":"barra izquierda arriba barra derecha abajo arpón"}}},{"category":"Sm","key":"294B","mappings":{"default":{"default":"barra izquierda abajo barra derecha arriba arpón"}}},{"category":"Sm","key":"294C","mappings":{"default":{"default":"up barb right down barb left harpoon"}}},{"category":"Sm","key":"294D","mappings":{"default":{"default":"arriba barb izquierda abajo barb derecha arpón"}}},{"category":"Sm","key":"294E","mappings":{"default":{"default":"barra izquierda arriba barra derecha arriba arpón"}}},{"key":"294F","mappings":{"default":{"default":"arpón a la derecha hacia arriba y abajo"}},"category":"Sm"},{"category":"Sm","key":"2950","mappings":{"default":{"default":"barra izquierda abajo barra derecha abajo arpón"}}},{"key":"2951","mappings":{"default":{"default":"arpón a la izquierda hacia arriba y abajo"}},"category":"Sm"},{"category":"Sm","key":"2952","mappings":{"default":{"default":"arpón a la izquierda con púa hasta la barra"}}},{"category":"Sm","key":"2953","mappings":{"default":{"default":"arpón a la derecha con púa hasta la barra"}}},{"category":"Sm","key":"2954","mappings":{"default":{"default":"arpón ascendente con púa derecha a barra"}}},{"category":"Sm","key":"2955","mappings":{"default":{"default":"arpón hacia abajo con púa derecha a barra"}}},{"category":"Sm","key":"2956","mappings":{"default":{"default":"arpón a la izquierda con púas abajo a la barra"}}},{"category":"Sm","key":"2957","mappings":{"default":{"default":"arpón a la derecha con púa abajo a la barra"}}},{"category":"Sm","key":"2958","mappings":{"default":{"default":"arpón ascendente con púa izquierda a barra"}}},{"category":"Sm","key":"2959","mappings":{"default":{"default":"arpón hacia abajo con la barra izquierda a la barra"}}},{"category":"Sm","key":"295A","mappings":{"default":{"default":"arpón a la izquierda con púa arriba de la barra"}}},{"category":"Sm","key":"295B","mappings":{"default":{"default":"arpón a la derecha con púa arriba del bar"}}},{"category":"Sm","key":"295C","mappings":{"default":{"default":"arpón ascendente con púa derecha de barra"}}},{"category":"Sm","key":"295D","mappings":{"default":{"default":"arpón hacia abajo con púa derecha de barra"}}},{"category":"Sm","key":"295E","mappings":{"default":{"default":"arpón a la izquierda con púa abajo de barra"}}},{"category":"Sm","key":"295F","mappings":{"default":{"default":"arpón a la derecha con púa abajo de barra"}}},{"category":"Sm","key":"2960","mappings":{"default":{"default":"arpón ascendente con púa izquierda de barra"}}},{"category":"Sm","key":"2961","mappings":{"default":{"default":"arpón hacia abajo con barra izquierda de barra"}}},{"category":"Sm","key":"2962","mappings":{"default":{"default":"arpón a la izquierda con púas arriba arriba arpón a la izquierda con púas abajo"}}},{"category":"Sm","key":"2963","mappings":{"default":{"default":"arpón ascendente con púa izquierda al lado arpón ascendente con púa derecha"}}},{"category":"Sm","key":"2964","mappings":{"default":{"default":"arpón a la derecha con púas arriba arriba arpón a la derecha con púas abajo"}}},{"category":"Sm","key":"2965","mappings":{"default":{"default":"arpón hacia abajo con lengüeta a la izquierda al lado arpón hacia abajo con lengüeta a la derecha"}}},{"category":"Sm","key":"2966","mappings":{"default":{"default":"arpón a la izquierda con púa arriba arriba arpón a la derecha con púa arriba"}}},{"category":"Sm","key":"2967","mappings":{"default":{"default":"arpón a la izquierda con púa abajo arriba arpón a la derecha con púa abajo"}}},{"category":"Sm","key":"2968","mappings":{"default":{"default":"arpón a la derecha con púas arriba arriba arpón a la izquierda con púas arriba"}}},{"category":"Sm","key":"2969","mappings":{"default":{"default":"arpón a la derecha con púa abajo arriba arpón a la izquierda con púa abajo"}}},{"key":"296A","mappings":{"default":{"default":"barra con arpón hacia la izquierda"}},"category":"Sm"},{"key":"296B","mappings":{"default":{"default":"arpón hacia la izquierda con barra"}},"category":"Sm"},{"key":"296C","mappings":{"default":{"default":"barra con arpón hacia la derecha"}},"category":"Sm"},{"key":"296D","mappings":{"default":{"default":"arpón hacia la derecha con barra"}},"category":"Sm"},{"category":"Sm","key":"296E","mappings":{"default":{"default":"arpón ascendente con púa izquierda al lado arpón hacia abajo con púa derecha"}}},{"category":"Sm","key":"296F","mappings":{"default":{"default":"arpón hacia abajo con lengüeta a la izquierda al lado arpón hacia arriba con pica a la derecha"}}},{"category":"Sm","key":"297C","mappings":{"default":{"default":"cola de pescado izquierda"}}},{"category":"Sm","key":"297D","mappings":{"default":{"default":"cola de pescado derecha"}}},{"key":"297E","mappings":{"default":{"default":"barra con doble gancho"}},"category":"Sm"},{"category":"Sm","key":"297F","mappings":{"default":{"default":"cola de pez abajo"}}}]
+,
+"es/symbols/math_non_characters.js": 
+[{"locale":"es"},{"key":"210F","mappings":{"default":{"default":"h barra"}},"category":"Ll"},{"category":"So","key":"2114","mappings":{"default":{"default":"L B símbolo de barra"}}},{"key":"2116","mappings":{"default":{"default":"signo de número"}},"category":"So"},{"key":"2117","mappings":{"default":{"default":"derechos de autor de sonido"}},"category":"So"},{"key":"211E","mappings":{"default":{"default":"receta"}},"category":"So"},{"category":"So","key":"211F","mappings":{"default":{"default":"respuesta"}}},{"category":"So","key":"2120","mappings":{"default":{"default":"marca de servicio"}}},{"category":"So","key":"2121","mappings":{"default":{"default":"señal de telefono"}}},{"key":"2122","mappings":{"default":{"default":"registrado"}},"category":"So"},{"category":"So","key":"2123","mappings":{"default":{"default":"versículo"}}},{"key":"2125","mappings":{"default":{"default":"onza"}},"category":"So"},{"key":"2126","mappings":{"default":{"default":"ohmio"}},"category":"Lu"},{"key":"2127","mappings":{"default":{"default":"ohmio invertido"}},"category":"So"},{"key":"212A","mappings":{"default":{"default":"grados kelvin"}},"category":"Lu"},{"key":"212B","mappings":{"default":{"default":"angstrom"}},"category":"Lu"},{"category":"So","key":"212E","mappings":{"default":{"default":"Símbolo estimado"}}},{"key":"2132","mappings":{"default":{"default":"mayúscula F invertida"}},"category":"Lu"},{"category":"Ll","key":"2139","mappings":{"default":{"default":"fuente de información"}}},{"category":"So","key":"213A","mappings":{"default":{"default":"capital rotado Q"}}},{"category":"So","key":"213B","mappings":{"default":{"default":"signo de fax"}}},{"category":"Sm","key":"2141","mappings":{"default":{"default":"convertido sans serif mayúscula G"}}},{"category":"Sm","key":"2142","mappings":{"default":{"default":"convertido sans serif mayúscula L"}}},{"category":"Sm","key":"2143","mappings":{"default":{"default":"invertido sans serif mayúscula L"}}},{"category":"Sm","key":"2144","mappings":{"default":{"default":"convertido en sans serif mayúscula Y"}}}]
+,
+"es/symbols/math_symbols.js": 
+[{"locale":"es"},{"key":"0021","mappings":{"default":{"default":"factorial"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"comillas"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"almuhadilla","defaultMP":"signo de número"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"dólar"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"porciento"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"ampersand"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"prima","defaultMP":"apóstrofo"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"por"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"más"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"coma"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"key":"002E","mappings":{"default":{"default":"punto"}},"category":"Po"},{"key":"002F","mappings":{"default":{"default":"barra oblicua"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"dos puntos"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"punto y coma"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"menor que"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"igual"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"mayor que"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"interrogación derecho","defaultMP":"cierra interrogación"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"arroba"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"barra inversa"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circunflejo"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"subrayado"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"acento grave"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"admiración izquierdo","defaultMP":"abre admiración"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"centavo"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"libra esterlina"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"moneda"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"barra vertical partida"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"sección"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"diéresis"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"ordinal femenino"}},"category":"Lo"},{"key":"00AB","mappings":{"default":{"default":"comillas angulares izquierda","defaultMP":"abre comillas angulares"}},"category":"Pi"},{"key":"00AC","mappings":{"default":{"default":"negación"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"registrado"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"barra"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"grado"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"más menos"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"acento agudo"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"micro"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"párrafo"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"punto medio"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"cedilla"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"ordinal masculino"}},"category":"Lo"},{"key":"00BB","mappings":{"default":{"default":"comillas angulares derecha","defaultMP":"cierra comillas angulares"}},"category":"Pf"},{"key":"00BF","mappings":{"default":{"default":"interrogación izquierdo","defaultMP":"abre interrogación"}},"category":"Po"},{"key":"00D7","mappings":{"default":{"default":"por"}},"category":"Sm"},{"key":"00F7","mappings":{"default":{"default":"dividido"}},"category":"Sm"},{"key":"02D8","mappings":{"default":{"default":"breve"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"punto en superescrito"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"anillo en superescrito"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"doble acento agudo"}},"category":"Sk"},{"key":"2010","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"category":"Pd","key":"2011","mappings":{"default":{"default":"guión no rompible"}}},{"category":"Pd","key":"2012","mappings":{"default":{"default":"figura Dash"}}},{"key":"2013","mappings":{"default":{"default":"en raya"}},"category":"Pd"},{"key":"2014","mappings":{"default":{"default":"em raya"}},"category":"Pd"},{"key":"2015","mappings":{"default":{"default":"barra horizontal"}},"category":"Pd"},{"key":"2016","mappings":{"default":{"default":"doble barra vertical"}},"category":"Po"},{"category":"Po","key":"2017","mappings":{"default":{"default":"línea baja doble"}}},{"key":"2018","mappings":{"default":{"default":"comilla izquierda"}},"category":"Pi"},{"key":"2019","mappings":{"default":{"default":"comilla derecha"}},"category":"Pf"},{"key":"201A","mappings":{"default":{"default":"comilla bajo 9"}},"category":"Ps"},{"category":"Pi","key":"201B","mappings":{"default":{"default":"marca de comillas simple con inversión alta-9"}}},{"key":"201C","mappings":{"default":{"default":"doble comilla"}},"category":"Pi"},{"key":"201D","mappings":{"default":{"default":"doble comilla derecha"}},"category":"Pf"},{"key":"201E","mappings":{"default":{"default":"doble comilla bajo 9"}},"category":"Ps"},{"category":"Pi","key":"201F","mappings":{"default":{"default":"doble alto-invertido-9 comillas"}}},{"key":"2020","mappings":{"default":{"default":"daga"}},"category":"Po"},{"key":"2021","mappings":{"default":{"default":"doble daga"}},"category":"Po"},{"key":"2022","mappings":{"default":{"default":"bala"}},"category":"Po"},{"category":"Po","key":"2023","mappings":{"default":{"default":"bala triangular"}}},{"category":"Po","key":"2024","mappings":{"default":{"default":"líder de un punto"}}},{"key":"2025","mappings":{"default":{"default":"dos puntos líder"}},"category":"Po"},{"key":"2026","mappings":{"default":{"default":"puntos suspensivos"}},"category":"Po"},{"category":"Po","key":"2027","mappings":{"default":{"default":"punto de separación"}}},{"key":"2030","mappings":{"default":{"default":"tanto por millar"}},"category":"Po"},{"key":"2031","mappings":{"default":{"default":"tanto por diez mil"}},"category":"Po"},{"key":"2032","mappings":{"default":{"default":"prima"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"segunda"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"tercera"}},"category":"Po"},{"key":"2035","mappings":{"default":{"default":"acento grave"}},"category":"Po"},{"key":"2036","mappings":{"default":{"default":"doble acento grave"}},"category":"Po"},{"category":"Po","key":"2037","mappings":{"default":{"default":"prime Prime invertido"}}},{"category":"Po","key":"2038","mappings":{"default":{"default":"signo de intercalación"}}},{"key":"2039","mappings":{"default":{"default":"comillas izquierda","defaultMP":"abre comillas"}},"category":"Pi"},{"key":"203A","mappings":{"default":{"default":"comillas derecha","defaultMP":"cierra comillas"}},"category":"Pf"},{"category":"Po","key":"203B","mappings":{"default":{"default":"marca de referencia"}}},{"category":"Po","key":"203C","mappings":{"default":{"default":"doble signo de exclamación"}}},{"category":"Po","key":"203D","mappings":{"default":{"default":"interrobang"}}},{"key":"203E","mappings":{"default":{"default":"barra superior"}},"category":"Po"},{"category":"Pc","key":"203F","mappings":{"default":{"default":"undertie"}}},{"key":"2040","mappings":{"default":{"default":"ligadura"}},"category":"Pc"},{"key":"2041","mappings":{"default":{"default":"punto de inserción"}},"category":"Po"},{"category":"Po","key":"2042","mappings":{"default":{"default":"asterismo"}}},{"key":"2043","mappings":{"default":{"default":"guión bala"}},"category":"Po"},{"key":"2044","mappings":{"default":{"default":"barra de fracción"}},"category":"Sm"},{"category":"Po","key":"2047","mappings":{"default":{"default":"doble signo de interrogación"}}},{"category":"Po","key":"2048","mappings":{"default":{"default":"pregunta Signo de exclamación"}}},{"category":"Po","key":"2049","mappings":{"default":{"default":"signo de interrogación de exclamación"}}},{"category":"Po","key":"204B","mappings":{"default":{"default":"signo de Pilcrow invertido"}}},{"category":"Po","key":"204C","mappings":{"default":{"default":"bala negra hacia la izquierda"}}},{"category":"Po","key":"204D","mappings":{"default":{"default":"bala negra hacia la derecha"}}},{"category":"Po","key":"204E","mappings":{"default":{"default":"bajo asterisco"}}},{"key":"204F","mappings":{"default":{"default":"punto y coma invertido"}},"category":"Po"},{"key":"2050","mappings":{"default":{"default":"cierre superior"}},"category":"Po"},{"category":"Po","key":"2051","mappings":{"default":{"default":"dos asteriscos alineados verticalmente"}}},{"category":"Sm","key":"2052","mappings":{"default":{"default":"signo de menos comercial"}}},{"category":"Po","key":"2053","mappings":{"default":{"default":"swung Dash"}}},{"category":"Pc","key":"2054","mappings":{"default":{"default":"ropa interior invertida"}}},{"category":"Po","key":"2055","mappings":{"default":{"default":"signo de puntuación de la flor"}}},{"category":"Po","key":"2056","mappings":{"default":{"default":"puntuación de tres puntos"}}},{"key":"2057","mappings":{"default":{"default":"cuarta"}},"category":"Po"},{"category":"Po","key":"2058","mappings":{"default":{"default":"puntuación de cuatro puntos"}}},{"category":"Po","key":"2059","mappings":{"default":{"default":"puntuación de cinco puntos"}}},{"category":"Po","key":"205A","mappings":{"default":{"default":"puntuación de dos puntos"}}},{"category":"Po","key":"205B","mappings":{"default":{"default":"marca de cuatro puntos"}}},{"category":"Po","key":"205C","mappings":{"default":{"default":"cruz punteada"}}},{"category":"Po","key":"205D","mappings":{"default":{"default":"tricolon"}}},{"category":"Po","key":"205E","mappings":{"default":{"default":"cuatro puntos verticales"}}},{"category":"Sm","key":"207A","mappings":{"default":{"default":"superscript Plus Sign"}}},{"category":"Sm","key":"207B","mappings":{"default":{"default":"superíndice menos"}}},{"category":"Sm","key":"207C","mappings":{"default":{"default":"superscript Equals Sign"}}},{"category":"Ps","key":"207D","mappings":{"default":{"default":"paréntesis izquierdo superíndice"}}},{"category":"Pe","key":"207E","mappings":{"default":{"default":"paréntesis derecho superíndice"}}},{"category":"Sm","key":"208A","mappings":{"default":{"default":"signo de subíndice más"}}},{"category":"Sm","key":"208B","mappings":{"default":{"default":"subíndice menos"}}},{"category":"Sm","key":"208C","mappings":{"default":{"default":"signo de subíndice es igual"}}},{"category":"Ps","key":"208D","mappings":{"default":{"default":"subíndice paréntesis izquierdo"}}},{"category":"Pe","key":"208E","mappings":{"default":{"default":"subíndice de paréntesis derecho"}}},{"category":"So","key":"214A","mappings":{"default":{"default":"línea de propiedad"}}},{"category":"Sm","key":"214B","mappings":{"default":{"default":"ampersand convertido"}}},{"category":"So","key":"214C","mappings":{"default":{"default":"por signo"}}},{"category":"So","key":"214D","mappings":{"default":{"default":"aktieselskab"}}},{"category":"Ll","key":"214E","mappings":{"default":{"default":"torneado pequeño f"}}},{"key":"2200","mappings":{"default":{"default":"para todo"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"complementario"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"existe"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"no existe"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"conjunto vacío"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"incremento"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"no perteneciente a"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"no comprende a"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"fin de demostración"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"producto"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"sumatorio"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"menos más"}},"category":"Sm"},{"key":"2214","mappings":{"default":{"default":"punto más"}},"category":"Sm"},{"key":"2215","mappings":{"default":{"default":"barra de división"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"asterisco"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"composición"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"bala"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"raíz"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"raíz cúbica"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"raíz cuarta"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proporcional a"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"infinito"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"ángulo recto"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"ángulo"}},"category":"Sm"},{"key":"2221","mappings":{"default":{"default":"ángulo medido"}},"category":"Sm"},{"key":"2222","mappings":{"default":{"default":"ángulo esférico"}},"category":"Sm"},{"key":"2223","mappings":{"default":{"default":"divide a"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"no divide a"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"paralela a"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"no paralela a"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"integral"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"integral doble"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"integral triple"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"integral de contorno"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"integral de superficie"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"integral de volumen"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"integral de contorno en sentido antihorario"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"por lo tanto"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"porque"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"razón"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"proporción"}},"category":"Sm"},{"key":"2238","mappings":{"default":{"default":"punto menos"}},"category":"Sm"},{"key":"2239","mappings":{"default":{"default":"exceso"}},"category":"Sm"},{"key":"223A","mappings":{"default":{"default":"proporción geométrica"}},"category":"Sm"},{"key":"223B","mappings":{"default":{"default":"homotecia"}},"category":"Sm"},{"key":"223C","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"223D","mappings":{"default":{"default":"tilde invertido"}},"category":"Sm"},{"key":"223E","mappings":{"default":{"default":"s horizontal invertida"}},"category":"Sm"},{"key":"223F","mappings":{"default":{"default":"sinusoide"}},"category":"Sm"},{"key":"2240","mappings":{"default":{"default":"producto de guirnalda"}},"category":"Sm"},{"key":"2241","mappings":{"default":{"default":"no tilde"}},"category":"Sm"},{"key":"2242","mappings":{"default":{"default":"menos tilde"}},"category":"Sm"},{"key":"2243","mappings":{"default":{"default":"asintóticamente igual a"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"no asintóticamente igual a"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"aproximadamente igual a"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"aproximado pero no igual a"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"no aproximado a"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"aproximado","defaultMP":"casi igual a"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"no es casi igual a"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"igual o casi igual a"}},"category":"Sm"},{"key":"224B","mappings":{"default":{"default":"triple tilde"}},"category":"Sm"},{"key":"224C","mappings":{"default":{"default":"todo igual a"}},"category":"Sm"},{"key":"224D","mappings":{"default":{"default":"equivalente a"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"geométricamente equivalente a"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"se acerca al límite"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"geométricamente igual a"}},"category":"Sm"},{"key":"2252","mappings":{"default":{"default":"aproximadamente igual a o imagen de"}},"category":"Sm"},{"key":"2253","mappings":{"default":{"default":"imagen de o aproximadamente igual a"}},"category":"Sm"},{"key":"2254","mappings":{"default":{"default":"dos puntos igual"}},"category":"Sm"},{"key":"2255","mappings":{"default":{"default":"igual dos puntos"}},"category":"Sm"},{"key":"2256","mappings":{"default":{"default":"igual incluyendo anillo"}},"category":"Sm"},{"key":"2257","mappings":{"default":{"default":"igual anillo a"}},"category":"Sm"},{"key":"2258","mappings":{"default":{"default":"corresponde a"}},"category":"Sm"},{"key":"2259","mappings":{"default":{"default":"estima a"}},"category":"Sm"},{"key":"225A","mappings":{"default":{"default":"equiangular con"}},"category":"Sm"},{"key":"225B","mappings":{"default":{"default":"igual con estrella"}},"category":"Sm"},{"key":"225C","mappings":{"default":{"default":"igual con delta"}},"category":"Sm"},{"key":"225D","mappings":{"default":{"default":"igual por definición a"}},"category":"Sm"},{"key":"225E","mappings":{"default":{"default":"medido por"}},"category":"Sm"},{"key":"225F","mappings":{"default":{"default":"igual con interrogante"}},"category":"Sm"},{"key":"2260","mappings":{"default":{"default":"no es igual a","defaultMP":"distinto de"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"idéntico a"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"no es idéntico a"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"estrictamente equivalente a"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"entre"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"no equivalente a"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"no menor que"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"no mayor que"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"no menor ni igual a"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"no mayor ni igual a"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"menor o equivalente a"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"mayor o equivalente a"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"no menor ni equivalente a"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"no mayor ni equivalente a"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"menor o mayor que"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"no menor ni mayor que"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"no mayor ni menor que"}},"category":"Sm"},{"key":"227A","mappings":{"default":{"default":"precede a"}},"category":"Sm"},{"key":"227B","mappings":{"default":{"default":"sigue a"}},"category":"Sm"},{"key":"227C","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"227D","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"227E","mappings":{"default":{"default":"precede o es equivalente a"}},"category":"Sm"},{"key":"227F","mappings":{"default":{"default":"sigue o es equivalente a"}},"category":"Sm"},{"key":"2280","mappings":{"default":{"default":"no precede a"}},"category":"Sm"},{"key":"2281","mappings":{"default":{"default":"no sigue a"}},"category":"Sm"},{"key":"2282","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"2283","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"2284","mappings":{"default":{"default":"no incluido en"}},"category":"Sm"},{"key":"2285","mappings":{"default":{"default":"no contiene a"}},"category":"Sm"},{"key":"2286","mappings":{"default":{"default":"incluido o igual a"}},"category":"Sm"},{"key":"2287","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"2288","mappings":{"default":{"default":"no incluido ni igual a"}},"category":"Sm"},{"key":"2289","mappings":{"default":{"default":"no contiene ni es igual a"}},"category":"Sm"},{"key":"228A","mappings":{"default":{"default":"incluido estrictamente en"}},"category":"Sm"},{"key":"228B","mappings":{"default":{"default":"contiene estrictamente a"}},"category":"Sm"},{"key":"228C","mappings":{"default":{"default":"familia de conjuntos"}},"category":"Sm"},{"key":"228D","mappings":{"default":{"default":"producto de familia de conjuntos"}},"category":"Sm"},{"key":"228E","mappings":{"default":{"default":"unión de familia de conjuntos"}},"category":"Sm"},{"key":"228F","mappings":{"default":{"default":"imagen cuadrada de"}},"category":"Sm"},{"key":"2290","mappings":{"default":{"default":"original cuadrado de"}},"category":"Sm"},{"key":"2291","mappings":{"default":{"default":"imagen cuadrada de o igual a"}},"category":"Sm"},{"key":"2292","mappings":{"default":{"default":"original cuadrado de o igual a"}},"category":"Sm"},{"key":"2293","mappings":{"default":{"default":"intersección cuadrada"}},"category":"Sm"},{"key":"2294","mappings":{"default":{"default":"unión cuadrada"}},"category":"Sm"},{"key":"2295","mappings":{"default":{"default":"más en círculo"}},"category":"Sm"},{"key":"2296","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"2297","mappings":{"default":{"default":"por en círculo"}},"category":"Sm"},{"key":"2298","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"2299","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"229A","mappings":{"default":{"default":"anillo en círculo"}},"category":"Sm"},{"key":"229B","mappings":{"default":{"default":"asterisco en círculo"}},"category":"Sm"},{"key":"229C","mappings":{"default":{"default":"igual en círculo"}},"category":"Sm"},{"key":"229D","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"229E","mappings":{"default":{"default":"más en cuadrado"}},"category":"Sm"},{"key":"229F","mappings":{"default":{"default":"menos en cuadrado"}},"category":"Sm"},{"key":"22A0","mappings":{"default":{"default":"veces en cuadrado"}},"category":"Sm"},{"key":"22A1","mappings":{"default":{"default":"punto en cuadrado"}},"category":"Sm"},{"key":"22A2","mappings":{"default":{"default":"t horizontal hacia la izquierda"}},"category":"Sm"},{"key":"22A3","mappings":{"default":{"default":"t horizontal hacia la derecha"}},"category":"Sm"},{"key":"22A4","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"22A5","mappings":{"default":{"default":"perpendicular invertida"}},"category":"Sm"},{"key":"22A6","mappings":{"default":{"default":"afirmación"}},"category":"Sm"},{"key":"22A7","mappings":{"default":{"default":"modela"}},"category":"Sm"},{"key":"22A8","mappings":{"default":{"default":"verdadero"}},"category":"Sm"},{"key":"22A9","mappings":{"default":{"default":"obliga"}},"category":"Sm"},{"key":"22AA","mappings":{"default":{"default":"triple barra vertical torniquete derecho"}},"category":"Sm"},{"key":"22AB","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho"}},"category":"Sm"},{"key":"22AC","mappings":{"default":{"default":"no prueba"}},"category":"Sm"},{"key":"22AD","mappings":{"default":{"default":"falso"}},"category":"Sm"},{"key":"22AE","mappings":{"default":{"default":"no obliga"}},"category":"Sm"},{"key":"22AF","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho negada"}},"category":"Sm"},{"key":"22B0","mappings":{"default":{"default":"precede respecto de"}},"category":"Sm"},{"key":"22B1","mappings":{"default":{"default":"sigue respecto de"}},"category":"Sm"},{"key":"22B2","mappings":{"default":{"default":"subgrupo normal de"}},"category":"Sm"},{"key":"22B3","mappings":{"default":{"default":"contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22B4","mappings":{"default":{"default":"subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B5","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B6","mappings":{"default":{"default":"original de"}},"category":"Sm"},{"key":"22B7","mappings":{"default":{"default":"imagen de"}},"category":"Sm"},{"key":"22B8","mappings":{"default":{"default":"multifunción"}},"category":"Sm"},{"key":"22B9","mappings":{"default":{"default":"matriz hermitiana conjugada"}},"category":"Sm"},{"key":"22BA","mappings":{"default":{"default":"interpola"}},"category":"Sm"},{"key":"22BB","mappings":{"default":{"default":"o excluyente"}},"category":"Sm"},{"key":"22BC","mappings":{"default":{"default":"no y"}},"category":"Sm"},{"key":"22BD","mappings":{"default":{"default":"no o"}},"category":"Sm"},{"key":"22BF","mappings":{"default":{"default":"triángulo rectángulo"}},"category":"Sm"},{"key":"22C0","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"22C1","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"22C2","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"22C3","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"22C4","mappings":{"default":{"default":"operador diamante"}},"category":"Sm"},{"key":"22C5","mappings":{"default":{"default":"punto"}},"category":"Sm"},{"key":"22C6","mappings":{"default":{"default":"estrella"}},"category":"Sm"},{"key":"22C7","mappings":{"default":{"default":"dividido por"}},"category":"Sm"},{"key":"22C8","mappings":{"default":{"default":"moño"}},"category":"Sm"},{"key":"22C9","mappings":{"default":{"default":"factor normal izquierdo producto semidirecto"}},"category":"Sm"},{"key":"22CA","mappings":{"default":{"default":"factor normal derecho producto semidirecto"}},"category":"Sm"},{"key":"22CB","mappings":{"default":{"default":"producto semidirecto izquierdo"}},"category":"Sm"},{"key":"22CC","mappings":{"default":{"default":"producto semidirecto derecho"}},"category":"Sm"},{"key":"22CD","mappings":{"default":{"default":"tilde invertida igual a"}},"category":"Sm"},{"key":"22CE","mappings":{"default":{"default":"o rizada"}},"category":"Sm"},{"key":"22CF","mappings":{"default":{"default":"y rizada"}},"category":"Sm"},{"key":"22D0","mappings":{"default":{"default":"doble incluido"}},"category":"Sm"},{"key":"22D1","mappings":{"default":{"default":"doble contiene"}},"category":"Sm"},{"key":"22D2","mappings":{"default":{"default":"doble intersección"}},"category":"Sm"},{"key":"22D3","mappings":{"default":{"default":"doble unión"}},"category":"Sm"},{"key":"22D4","mappings":{"default":{"default":"bieldo"}},"category":"Sm"},{"key":"22D5","mappings":{"default":{"default":"paralela o igual a"}},"category":"Sm"},{"key":"22D6","mappings":{"default":{"default":"menor que con punto"}},"category":"Sm"},{"key":"22D7","mappings":{"default":{"default":"mayor que con punto"}},"category":"Sm"},{"key":"22D8","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"22D9","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"22DA","mappings":{"default":{"default":"menor igual o mayor que"}},"category":"Sm"},{"key":"22DB","mappings":{"default":{"default":"mayor igual o menor que"}},"category":"Sm"},{"key":"22DC","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"22DD","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"22DE","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"22DF","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"22E0","mappings":{"default":{"default":"no precede ni es igual a"}},"category":"Sm"},{"key":"22E1","mappings":{"default":{"default":"no sigue ni es igual a"}},"category":"Sm"},{"key":"22E2","mappings":{"default":{"default":"no es imagen cuadrada ni igual a"}},"category":"Sm"},{"key":"22E3","mappings":{"default":{"default":"no es original cuadrada ni igual a"}},"category":"Sm"},{"key":"22E4","mappings":{"default":{"default":"imagen cuadrada estricta"}},"category":"Sm"},{"key":"22E5","mappings":{"default":{"default":"original cuadrada estricta"}},"category":"Sm"},{"key":"22E6","mappings":{"default":{"default":"menor que no equivalente a"}},"category":"Sm"},{"key":"22E7","mappings":{"default":{"default":"mayor que no equivalente a"}},"category":"Sm"},{"key":"22E8","mappings":{"default":{"default":"precede no equivalente a"}},"category":"Sm"},{"key":"22E9","mappings":{"default":{"default":"sigue no equivalente a"}},"category":"Sm"},{"key":"22EA","mappings":{"default":{"default":"no subgrupo normal de"}},"category":"Sm"},{"key":"22EB","mappings":{"default":{"default":"no contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22EC","mappings":{"default":{"default":"no es subgrupo normal ni igual a"}},"category":"Sm"},{"key":"22ED","mappings":{"default":{"default":"no contiene como subgrupo normal ni es igual a"}},"category":"Sm"},{"key":"22EE","mappings":{"default":{"default":"puntos suspensivos verticales"}},"category":"Sm"},{"key":"22EF","mappings":{"default":{"default":"puntos suspensivos altos"}},"category":"Sm"},{"key":"22F0","mappings":{"default":{"default":"puntos suspensivos diagonales subiendo"}},"category":"Sm"},{"key":"22F1","mappings":{"default":{"default":"puntos suspensivos diagonales bajando"}},"category":"Sm"},{"key":"22F2","mappings":{"default":{"default":"pertenece con trazo horizontal"}},"category":"Sm"},{"key":"22F3","mappings":{"default":{"default":"pertenece con barra vertical al fin de raya horizontal"}},"category":"Sm"},{"key":"22F4","mappings":{"default":{"default":"pertenece en pequeño con trazo vertical"}},"category":"Sm"},{"key":"22F5","mappings":{"default":{"default":"pertenece con punto arriba"}},"category":"Sm"},{"key":"22F6","mappings":{"default":{"default":"pertenece con barra arriba"}},"category":"Sm"},{"key":"22F7","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F8","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F9","mappings":{"default":{"default":"pertenece con dos trazos horizontales"}},"category":"Sm"},{"key":"22FA","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"22FB","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FC","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FD","mappings":{"default":{"default":"contiene con barra"}},"category":"Sm"},{"key":"22FE","mappings":{"default":{"default":"perteneciente con barra"}},"category":"Sm"},{"key":"22FF","mappings":{"default":{"default":"z anotación asociación de bolsa"}},"category":"Sm"},{"key":"2300","mappings":{"default":{"default":"diámetro"}},"category":"So"},{"key":"2302","mappings":{"default":{"default":"casa"}},"category":"So"},{"key":"2305","mappings":{"default":{"default":"en proyectividad con"}},"category":"So"},{"key":"2306","mappings":{"default":{"default":"en perspectividad con"}},"category":"So"},{"category":"So","key":"2307","mappings":{"default":{"default":"línea ondulada"}}},{"key":"2310","mappings":{"default":{"default":"no invertido"}},"category":"So"},{"category":"So","key":"2311","mappings":{"default":{"default":"pastillas cuadradas"}}},{"key":"2312","mappings":{"default":{"default":"arco"}},"category":"So"},{"key":"2313","mappings":{"default":{"default":"segmento"}},"category":"So"},{"category":"So","key":"2314","mappings":{"default":{"default":"sector"}}},{"category":"So","key":"2795","mappings":{"default":{"default":"signo más pesado"}}},{"category":"So","key":"2796","mappings":{"default":{"default":"signo menos pesado"}}},{"category":"So","key":"2797","mappings":{"default":{"default":"signo de la división pesada"}}},{"category":"So","key":"27B0","mappings":{"default":{"default":"bucle rizado"}}},{"category":"So","key":"27BF","mappings":{"default":{"default":"doble bucle rizado"}}},{"key":"27C1","mappings":{"default":{"default":"triángulo encerrando triángulo"}},"category":"Sm"},{"key":"27C2","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27C3","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"27C4","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"27C7","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"27C8","mappings":{"default":{"default":"atrás tajo antes de subconjunto"}},"category":"Sm"},{"key":"27C9","mappings":{"default":{"default":"sobreconjunto antes de tajo"}},"category":"Sm"},{"key":"27CA","mappings":{"default":{"default":"barra vertical con golpe horizontal"}},"category":"Sm"},{"category":"Sm","key":"27CB","mappings":{"default":{"default":"diagonal matemático de levantamiento"}}},{"key":"27CC","mappings":{"default":{"default":"división larga"}},"category":"Sm"},{"category":"Sm","key":"27CD","mappings":{"default":{"default":"diagonal descendente matemática"}}},{"category":"Sm","key":"27CE","mappings":{"default":{"default":"cuadrado Lógico Y"}}},{"category":"Sm","key":"27CF","mappings":{"default":{"default":"cuadrado Lógico O"}}},{"category":"Sm","key":"27D0","mappings":{"default":{"default":"diamante blanco con punto centrado"}}},{"key":"27D1","mappings":{"default":{"default":"y con punto interior"}},"category":"Sm"},{"key":"27D2","mappings":{"default":{"default":"elemento de apertura hacia arriba"}},"category":"Sm"},{"key":"27D3","mappings":{"default":{"default":"ángulo inferior derecho con punto"}},"category":"Sm"},{"key":"27D4","mappings":{"default":{"default":"ángulo inferior izquierdo con punto"}},"category":"Sm"},{"key":"27D5","mappings":{"default":{"default":"izquierdo exterior une"}},"category":"Sm"},{"key":"27D6","mappings":{"default":{"default":"derecho exterior une"}},"category":"Sm"},{"key":"27D7","mappings":{"default":{"default":"lleno exterior une"}},"category":"Sm"},{"key":"27D8","mappings":{"default":{"default":"perpendicular inversa"}},"category":"Sm"},{"key":"27D9","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27DA","mappings":{"default":{"default":"izquierdo y derecho doble torniquete"}},"category":"Sm"},{"key":"27DB","mappings":{"default":{"default":"doble T horizontal"}},"category":"Sm"},{"key":"27DC","mappings":{"default":{"default":"multifunción por la izquierda"}},"category":"Sm"},{"key":"27DD","mappings":{"default":{"default":"t horizontal derecha larga"}},"category":"Sm"},{"key":"27DE","mappings":{"default":{"default":"t horizontal izquierda larga"}},"category":"Sm"},{"key":"27DF","mappings":{"default":{"default":"perpendicular inversa con círculo arriba"}},"category":"Sm"},{"key":"27E0","mappings":{"default":{"default":"pastilla dividida por regla horizontal"}},"category":"Sm"},{"key":"27E1","mappings":{"default":{"default":"diamante cóncavo vacío"}},"category":"Sm"},{"key":"27E2","mappings":{"default":{"default":"diamante cóncavo con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E3","mappings":{"default":{"default":"diamante cóncavo con tictac hacia derecha"}},"category":"Sm"},{"key":"27E4","mappings":{"default":{"default":"cuadrado con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E5","mappings":{"default":{"default":"cuadrado con tictac hacia derecha"}},"category":"Sm"},{"category":"Sm","key":"292B","mappings":{"default":{"default":"cruce en diagonal Cruce en diagonal Caída en diagonal"}}},{"category":"Sm","key":"292C","mappings":{"default":{"default":"diagonal descendente Cruce diagonal ascendente"}}},{"category":"Sm","key":"2980","mappings":{"default":{"default":"delimitador de barra vertical triple"}}},{"category":"Sm","key":"2981","mappings":{"default":{"default":"punto de notación Z"}}},{"category":"Sm","key":"2982","mappings":{"default":{"default":"tipo de notación Z Colon"}}},{"category":"Sm","key":"2999","mappings":{"default":{"default":"valla punteada"}}},{"key":"299A","mappings":{"default":{"default":"zigzag en vertical"}},"category":"Sm"},{"key":"29B0","mappings":{"default":{"default":"conjunto vacío invertido"}},"category":"Sm"},{"key":"29B1","mappings":{"default":{"default":"conjunto vacío con barra"}},"category":"Sm"},{"key":"29B2","mappings":{"default":{"default":"conjunto vacío con círculo"}},"category":"Sm"},{"key":"29B5","mappings":{"default":{"default":"círculo con barra"}},"category":"Sm"},{"key":"29B6","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"29B7","mappings":{"default":{"default":"paralelas en círculo"}},"category":"Sm"},{"category":"Sm","key":"29B8","mappings":{"default":{"default":"círculo inverso solidus"}}},{"key":"29B9","mappings":{"default":{"default":"perpendicular en círculo"}},"category":"Sm"},{"category":"Sm","key":"29BA","mappings":{"default":{"default":"círculo dividido por barra horizontal y mitad superior dividido por barra vertical"}}},{"key":"29BB","mappings":{"default":{"default":"x superimpresa en círculo"}},"category":"Sm"},{"key":"29BC","mappings":{"default":{"default":"circled anticlockwise rotated division"}},"category":"Sm"},{"key":"29BE","mappings":{"default":{"default":"bullet vacía en círculo"}},"category":"Sm"},{"key":"29BF","mappings":{"default":{"default":"bullet en círculo"}},"category":"Sm"},{"key":"29C0","mappings":{"default":{"default":"menor que en círculo"}},"category":"Sm"},{"key":"29C1","mappings":{"default":{"default":"mayor que en círculo"}},"category":"Sm"},{"key":"29C2","mappings":{"default":{"default":"círculo con círculo a la derecha"}},"category":"Sm"},{"key":"29C3","mappings":{"default":{"default":"circle with two horizontal strokes to the right"}},"category":"Sm"},{"key":"29C4","mappings":{"default":{"default":"cuadrado con diagonal ascendente"}},"category":"Sm"},{"key":"29C5","mappings":{"default":{"default":"cuadrado con diagonal descendente"}},"category":"Sm"},{"category":"Sm","key":"29C6","mappings":{"default":{"default":"asterisco cuadrado"}}},{"category":"Sm","key":"29C7","mappings":{"default":{"default":"pequeño círculo cuadrado"}}},{"category":"Sm","key":"29C8","mappings":{"default":{"default":"cuadrado cuadrado"}}},{"key":"29C9","mappings":{"default":{"default":"dos cuadrados unidos"}},"category":"Sm"},{"category":"Sm","key":"29CA","mappings":{"default":{"default":"triángulo con punto arriba"}}},{"category":"Sm","key":"29CB","mappings":{"default":{"default":"triángulo con barra inferior"}}},{"category":"Sm","key":"29CC","mappings":{"default":{"default":"s en triangulo"}}},{"key":"29CD","mappings":{"default":{"default":"triangle with serifs at bottom"}},"category":"Sm"},{"key":"29CE","mappings":{"default":{"default":"triángulo hacia la derecha sobre triángulo hacia la izquierda"}},"category":"Sm"},{"key":"29CF","mappings":{"default":{"default":"subgrupo normal o igual a"}},"category":"Sm"},{"key":"29D0","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"category":"Sm","key":"29D1","mappings":{"default":{"default":"pajarita Con Mitad Izquierda Negra"}}},{"category":"Sm","key":"29D2","mappings":{"default":{"default":"pajarita Con Mitad Derecha Negra"}}},{"category":"Sm","key":"29D3","mappings":{"default":{"default":"pajarita Negra"}}},{"category":"Sm","key":"29D4","mappings":{"default":{"default":"tiempos con Mitad Izquierda Negra"}}},{"category":"Sm","key":"29D5","mappings":{"default":{"default":"tiempos con la mitad derecha negra"}}},{"category":"Sm","key":"29D6","mappings":{"default":{"default":"reloj de arena blanco"}}},{"category":"Sm","key":"29D7","mappings":{"default":{"default":"reloj de arena negro"}}},{"key":"29DC","mappings":{"default":{"default":"infinito incompleto"}},"category":"Sm"},{"category":"Sm","key":"29DD","mappings":{"default":{"default":"empate sobre el infinito"}}},{"key":"29DE","mappings":{"default":{"default":"no infinito"}},"category":"Sm"},{"category":"Sm","key":"29DF","mappings":{"default":{"default":"multimapa de doble extremo"}}},{"category":"Sm","key":"29E0","mappings":{"default":{"default":"cuadrado con contorno contorneado"}}},{"category":"Sm","key":"29E1","mappings":{"default":{"default":"aumenta como"}}},{"category":"Sm","key":"29E2","mappings":{"default":{"default":"shuffle Product"}}},{"key":"29E3","mappings":{"default":{"default":"igual tachado doble "}},"category":"Sm"},{"key":"29E4","mappings":{"default":{"default":"igual con tilde, con doble tachado"}},"category":"Sm"},{"key":"29E5","mappings":{"default":{"default":"idéntico a con doble tachado"}},"category":"Sm"},{"category":"Sm","key":"29E6","mappings":{"default":{"default":"gleich Stark"}}},{"category":"Sm","key":"29E7","mappings":{"default":{"default":"termodinamica"}}},{"category":"Sm","key":"29E8","mappings":{"default":{"default":"triángulo que apunta hacia abajo con la mitad izquierda negra"}}},{"category":"Sm","key":"29E9","mappings":{"default":{"default":"triángulo que apunta hacia abajo con la mitad derecha negra"}}},{"key":"29EB","mappings":{"default":{"default":"rombo relleno"}},"category":"Sm"},{"category":"Sm","key":"29EE","mappings":{"default":{"default":"plaza blanca con error"}}},{"category":"Sm","key":"29EF","mappings":{"default":{"default":"error en la Plaza Negra"}}},{"category":"Sm","key":"29F0","mappings":{"default":{"default":"error White Barred Diamond"}}},{"category":"Sm","key":"29F1","mappings":{"default":{"default":"error Black Barred Diamond"}}},{"category":"Sm","key":"29F2","mappings":{"default":{"default":"círculo blanco con error"}}},{"category":"Sm","key":"29F3","mappings":{"default":{"default":"círculo negro con barras de error"}}},{"key":"29F4","mappings":{"default":{"default":"rule delayed"}},"category":"Sm"},{"category":"Sm","key":"29F5","mappings":{"default":{"default":"operador de Solidus Inverso"}}},{"key":"29F6","mappings":{"default":{"default":"solidus with overbar"}},"category":"Sm"},{"category":"Sm","key":"29F7","mappings":{"default":{"default":"solidus inverso con trazo horizontal"}}},{"category":"Sm","key":"29F8","mappings":{"default":{"default":"sólido grande"}}},{"category":"Sm","key":"29F9","mappings":{"default":{"default":"sólido inverso grande"}}},{"category":"Sm","key":"29FA","mappings":{"default":{"default":"doble Plus"}}},{"category":"Sm","key":"29FB","mappings":{"default":{"default":"triple Plus"}}},{"category":"Sm","key":"29FE","mappings":{"default":{"default":"minúsculo"}}},{"category":"Sm","key":"29FF","mappings":{"default":{"default":"miny"}}},{"category":"Sm","key":"2A00","mappings":{"default":{"default":"operador de puntos circulares N-Ary"}}},{"category":"Sm","key":"2A01","mappings":{"default":{"default":"operador N-Ary Circled Plus"}}},{"category":"Sm","key":"2A02","mappings":{"default":{"default":"operador de los tiempos en círculo de N-Ary"}}},{"category":"Sm","key":"2A03","mappings":{"default":{"default":"operador de la unión N-Ary con punto"}}},{"category":"Sm","key":"2A04","mappings":{"default":{"default":"n-Ary Union Operator con Plus"}}},{"category":"Sm","key":"2A05","mappings":{"default":{"default":"operador de intersecciones cuadradas N-Ary"}}},{"category":"Sm","key":"2A06","mappings":{"default":{"default":"n-Ary Square Union Operator"}}},{"category":"Sm","key":"2A07","mappings":{"default":{"default":"dos lógico y operador"}}},{"category":"Sm","key":"2A08","mappings":{"default":{"default":"dos lógico u operador"}}},{"category":"Sm","key":"2A09","mappings":{"default":{"default":"operador de N-Ary Times"}}},{"category":"Sm","key":"2A0A","mappings":{"default":{"default":"modulo dos sumas"}}},{"category":"Sm","key":"2A0B","mappings":{"default":{"default":"suma con Integral"}}},{"key":"2A0C","mappings":{"default":{"default":"operador integral cuádruple"}},"category":"Sm"},{"key":"2A0D","mappings":{"default":{"default":"finite part integral"}},"category":"Sm"},{"category":"Sm","key":"2A0E","mappings":{"default":{"default":"integral con Doble Trazo"}}},{"category":"Sm","key":"2A0F","mappings":{"default":{"default":"promedio Integral con Slash"}}},{"key":"2A10","mappings":{"default":{"default":"circulation function"}},"category":"Sm"},{"key":"2A11","mappings":{"default":{"default":"integral en sentido antihorario"}},"category":"Sm"},{"key":"2A12","mappings":{"default":{"default":"integral lineal para rectángulo en polo"}},"category":"Sm"},{"key":"2A13","mappings":{"default":{"default":"integral lineal para semicírculo en polo"}},"category":"Sm"},{"key":"2A14","mappings":{"default":{"default":"integral lineal excluyendo el polo"}},"category":"Sm"},{"key":"2A15","mappings":{"default":{"default":"integral en torno de un punto operador"}},"category":"Sm"},{"key":"2A16","mappings":{"default":{"default":"operador integral para cuaterniones"}},"category":"Sm"},{"category":"Sm","key":"2A18","mappings":{"default":{"default":"integral con Times Sign"}}},{"category":"Sm","key":"2A19","mappings":{"default":{"default":"integral con Intersección"}}},{"category":"Sm","key":"2A1A","mappings":{"default":{"default":"integral con union"}}},{"category":"Sm","key":"2A1B","mappings":{"default":{"default":"integral con Overbar"}}},{"category":"Sm","key":"2A1C","mappings":{"default":{"default":"integral con barra inferior"}}},{"category":"Sm","key":"2A1D","mappings":{"default":{"default":"unirse"}}},{"category":"Sm","key":"2A1E","mappings":{"default":{"default":"operador de triángulo izquierdo grande"}}},{"category":"Sm","key":"2A1F","mappings":{"default":{"default":"composición de esquemas de notación Z"}}},{"category":"Sm","key":"2A20","mappings":{"default":{"default":"esquema de notación Z"}}},{"category":"Sm","key":"2A21","mappings":{"default":{"default":"proyección del esquema de notación Z"}}},{"key":"2A22","mappings":{"default":{"default":"más con círculo"}},"category":"Sm"},{"key":"2A23","mappings":{"default":{"default":"más con ángulo"}},"category":"Sm"},{"key":"2A24","mappings":{"default":{"default":"tilde con más suscrito"}},"category":"Sm"},{"key":"2A25","mappings":{"default":{"default":"más con punto inferior"}},"category":"Sm"},{"key":"2A26","mappings":{"default":{"default":"tilde con más"}},"category":"Sm"},{"key":"2A27","mappings":{"default":{"default":"más con 2 suscrito"}},"category":"Sm"},{"category":"Sm","key":"2A28","mappings":{"default":{"default":"signo más con triángulo negro"}}},{"key":"2A29","mappings":{"default":{"default":"menos con coma"}},"category":"Sm"},{"key":"2A2A","mappings":{"default":{"default":"menos con punto inferior"}},"category":"Sm"},{"category":"Sm","key":"2A2B","mappings":{"default":{"default":"signo menos con puntos que caen"}}},{"category":"Sm","key":"2A2C","mappings":{"default":{"default":"signo menos con puntos crecientes"}}},{"key":"2A2D","mappings":{"default":{"default":"más en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A2E","mappings":{"default":{"default":"más en semicírculo derecho"}},"category":"Sm"},{"key":"2A2F","mappings":{"default":{"default":"producto vectorial"}},"category":"Sm"},{"key":"2A30","mappings":{"default":{"default":"por con punto"}},"category":"Sm"},{"key":"2A31","mappings":{"default":{"default":"por con subrayado"}},"category":"Sm"},{"category":"Sm","key":"2A32","mappings":{"default":{"default":"producto semidirecto con fondo cerrado"}}},{"key":"2A33","mappings":{"default":{"default":"smash product"}},"category":"Sm"},{"key":"2A34","mappings":{"default":{"default":"por en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A35","mappings":{"default":{"default":"por en semicírculo derecho"}},"category":"Sm"},{"key":"2A36","mappings":{"default":{"default":"por en círculo con ángulo"}},"category":"Sm"},{"key":"2A37","mappings":{"default":{"default":"por en anillo"}},"category":"Sm"},{"key":"2A38","mappings":{"default":{"default":"división en círculo"}},"category":"Sm"},{"key":"2A39","mappings":{"default":{"default":"más en triángulo"}},"category":"Sm"},{"key":"2A3A","mappings":{"default":{"default":"menos en triángulo"}},"category":"Sm"},{"key":"2A3B","mappings":{"default":{"default":"por en triángulo"}},"category":"Sm"},{"key":"2A3C","mappings":{"default":{"default":"producto interior"}},"category":"Sm"},{"category":"Sm","key":"2A3D","mappings":{"default":{"default":"producto interior derecho"}}},{"category":"Sm","key":"2A3E","mappings":{"default":{"default":"notación Z Composición Relacional"}}},{"key":"2A3F","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2A40","mappings":{"default":{"default":"intersección con punto"}},"category":"Sm"},{"category":"Sm","key":"2A41","mappings":{"default":{"default":"unión con signo de menos"}}},{"key":"2A42","mappings":{"default":{"default":"unión con barra"}},"category":"Sm"},{"key":"2A43","mappings":{"default":{"default":"intersección con barra"}},"category":"Sm"},{"key":"2A44","mappings":{"default":{"default":"intersección con and"}},"category":"Sm"},{"key":"2A45","mappings":{"default":{"default":"unión con or"}},"category":"Sm"},{"key":"2A46","mappings":{"default":{"default":"unión sobre intersección"}},"category":"Sm"},{"key":"2A47","mappings":{"default":{"default":"intersección sobre unión"}},"category":"Sm"},{"key":"2A48","mappings":{"default":{"default":"unión sobre barra, sobre intersección"}},"category":"Sm"},{"key":"2A49","mappings":{"default":{"default":"intersección sobre barra, sobre unión "}},"category":"Sm"},{"key":"2A4A","mappings":{"default":{"default":"unión y unión"}},"category":"Sm"},{"key":"2A4B","mappings":{"default":{"default":"intersección e intersección"}},"category":"Sm"},{"key":"2A4C","mappings":{"default":{"default":"unión cerrada"}},"category":"Sm"},{"key":"2A4D","mappings":{"default":{"default":"intersección cerrada"}},"category":"Sm"},{"category":"Sm","key":"2A4E","mappings":{"default":{"default":"intersección cuadrada doble"}}},{"category":"Sm","key":"2A4F","mappings":{"default":{"default":"unión cuadrada doble"}}},{"key":"2A50","mappings":{"default":{"default":"unión cerrada con por"}},"category":"Sm"},{"category":"Sm","key":"2A51","mappings":{"default":{"default":"lógico y con punto arriba."}}},{"category":"Sm","key":"2A52","mappings":{"default":{"default":"lógico o con punto arriba"}}},{"key":"2A53","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2A55","mappings":{"default":{"default":"two intersecting logical and"}},"category":"Sm"},{"key":"2A56","mappings":{"default":{"default":"two intersecting logical or"}},"category":"Sm"},{"key":"2A57","mappings":{"default":{"default":"sloping large or"}},"category":"Sm"},{"key":"2A58","mappings":{"default":{"default":"sloping large and"}},"category":"Sm"},{"category":"Sm","key":"2A59","mappings":{"default":{"default":"lógica o superpuesta, lógica y"}}},{"key":"2A5A","mappings":{"default":{"default":"logical and with middle stem"}},"category":"Sm"},{"key":"2A5B","mappings":{"default":{"default":"logical or with middle stem"}},"category":"Sm"},{"key":"2A5C","mappings":{"default":{"default":"logical and with horizontal dash"}},"category":"Sm"},{"key":"2A5D","mappings":{"default":{"default":"logical or with horizontal dash"}},"category":"Sm"},{"category":"Sm","key":"2A5E","mappings":{"default":{"default":"lógica y con doble Overbar"}}},{"key":"2A5F","mappings":{"default":{"default":"logical and with underbar"}},"category":"Sm"},{"category":"Sm","key":"2A60","mappings":{"default":{"default":"lógica y con doble barra inferior."}}},{"category":"Sm","key":"2A61","mappings":{"default":{"default":"pequeño Vee con Underbar"}}},{"category":"Sm","key":"2A62","mappings":{"default":{"default":"lógica o con doble barra."}}},{"category":"Sm","key":"2A63","mappings":{"default":{"default":"lógica o con doble barra inferior"}}},{"category":"Sm","key":"2A64","mappings":{"default":{"default":"notación Z Dominio Antirestricción"}}},{"category":"Sm","key":"2A65","mappings":{"default":{"default":"rango de notación Z Antirestricción"}}},{"key":"2A66","mappings":{"default":{"default":"igual con punto suscrito"}},"category":"Sm"},{"category":"Sm","key":"2A67","mappings":{"default":{"default":"idéntico con punto arriba"}}},{"category":"Sm","key":"2A68","mappings":{"default":{"default":"triple barra horizontal con doble movimiento vertical"}}},{"category":"Sm","key":"2A69","mappings":{"default":{"default":"triple barra horizontal con triple movimiento vertical"}}},{"key":"2A6A","mappings":{"default":{"default":"tilde con punto"}},"category":"Sm"},{"category":"Sm","key":"2A6B","mappings":{"default":{"default":"operador de tilde con puntos crecientes"}}},{"category":"Sm","key":"2A6C","mappings":{"default":{"default":"similares menos similares"}}},{"key":"2A6D","mappings":{"default":{"default":"congruente con punto"}},"category":"Sm"},{"category":"Sm","key":"2A6E","mappings":{"default":{"default":"igual a Asterisco"}}},{"key":"2A6F","mappings":{"default":{"default":"casi igual con ángulo"}},"category":"Sm"},{"category":"Sm","key":"2A70","mappings":{"default":{"default":"aproximadamente igual o igual a"}}},{"key":"2A71","mappings":{"default":{"default":"igual con más suscrito"}},"category":"Sm"},{"key":"2A72","mappings":{"default":{"default":"igual con más"}},"category":"Sm"},{"key":"2A73","mappings":{"default":{"default":"igual con operador tilde"}},"category":"Sm"},{"key":"2A74","mappings":{"default":{"default":"igual con dos puntos"}},"category":"Sm"},{"key":"2A75","mappings":{"default":{"default":"igual doble"}},"category":"Sm"},{"category":"Sm","key":"2A76","mappings":{"default":{"default":"tres signos de igualdad consecutivos"}}},{"key":"2A77","mappings":{"default":{"default":"igual entre cuatro puntos"}},"category":"Sm"},{"key":"2A78","mappings":{"default":{"default":"equivalente con cuatro puntos"}},"category":"Sm"},{"key":"2A79","mappings":{"default":{"default":"menor que con círculo interior"}},"category":"Sm"},{"key":"2A7A","mappings":{"default":{"default":"mayor que con círculo interior"}},"category":"Sm"},{"key":"2A7B","mappings":{"default":{"default":"menor que con interrogante"}},"category":"Sm"},{"key":"2A7C","mappings":{"default":{"default":"mayor que con interrogante"}},"category":"Sm"},{"key":"2A7D","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2A7E","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"2A7F","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A80","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A81","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A82","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"key":"2A83","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A84","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"category":"Sm","key":"2A85","mappings":{"default":{"default":"menor que o aproximado"}}},{"category":"Sm","key":"2A86","mappings":{"default":{"default":"mayor que o aproximado"}}},{"category":"Sm","key":"2A87","mappings":{"default":{"default":"menor que una línea no es igual a"}}},{"category":"Sm","key":"2A88","mappings":{"default":{"default":"mayores y una sola línea no son iguales a"}}},{"key":"2A89","mappings":{"default":{"default":"menor que, pero no aproximado a"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"mayor que, pero no aproximado a"}},"category":"Sm"},{"category":"Sm","key":"2A8B","mappings":{"default":{"default":"menos que arriba de la doble línea igual por encima de mayor que"}}},{"category":"Sm","key":"2A8C","mappings":{"default":{"default":"más que arriba de la línea doble igual sobre menos que"}}},{"key":"2A8D","mappings":{"default":{"default":"menor, similar o igual a"}},"category":"Sm"},{"key":"2A8E","mappings":{"default":{"default":"mayor, similar o igual a"}},"category":"Sm"},{"key":"2A8F","mappings":{"default":{"default":"menor, similar o mayor que"}},"category":"Sm"},{"key":"2A90","mappings":{"default":{"default":"mayor, similar o menor que"}},"category":"Sm"},{"key":"2A91","mappings":{"default":{"default":"menor, mayor o igual a"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"mayor, menor o igual a"}},"category":"Sm"},{"key":"2A93","mappings":{"default":{"default":"estrictamente menor o mayor que"}},"category":"Sm"},{"key":"2A94","mappings":{"default":{"default":"estrictamente mayor o menor que"}},"category":"Sm"},{"category":"Sm","key":"2A95","mappings":{"default":{"default":"inclinado igual o menor que"}}},{"category":"Sm","key":"2A96","mappings":{"default":{"default":"inclinado igual o mayor que"}}},{"key":"2A97","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A98","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A99","mappings":{"default":{"default":"menor o igual a"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"mayor o igual a"}},"category":"Sm"},{"category":"Sm","key":"2A9B","mappings":{"default":{"default":"doble línea inclinada igual o menor que"}}},{"category":"Sm","key":"2A9C","mappings":{"default":{"default":"doble línea inclinada igual o mayor que"}}},{"key":"2A9D","mappings":{"default":{"default":"equivalente o menor que"}},"category":"Sm"},{"key":"2A9E","mappings":{"default":{"default":"mayor o similar a"}},"category":"Sm"},{"key":"2A9F","mappings":{"default":{"default":"similar, menor o igual a"}},"category":"Sm"},{"key":"2AA0","mappings":{"default":{"default":"similar, mayor o igual a"}},"category":"Sm"},{"key":"2AA1","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"category":"Sm","key":"2AA3","mappings":{"default":{"default":"doble anidada menor que con barra inferior"}}},{"key":"2AA4","mappings":{"default":{"default":"menor que, mayor que"}},"category":"Sm"},{"key":"2AA5","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2AA6","mappings":{"default":{"default":"menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA7","mappings":{"default":{"default":"mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AA8","mappings":{"default":{"default":"estrictamente menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA9","mappings":{"default":{"default":"estrictamente mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AAA","mappings":{"default":{"default":"más reducido que"}},"category":"Sm"},{"key":"2AAB","mappings":{"default":{"default":"más amplio que"}},"category":"Sm"},{"key":"2AAC","mappings":{"default":{"default":"más reducido o igual a"}},"category":"Sm"},{"key":"2AAD","mappings":{"default":{"default":"más amplio o igual a"}},"category":"Sm"},{"key":"2AAE","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2AAF","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"category":"Sm","key":"2AB0","mappings":{"default":{"default":"sucede por encima de la línea de igual signo"}}},{"category":"Sm","key":"2AB1","mappings":{"default":{"default":"precede por encima de una línea no es igual a"}}},{"category":"Sm","key":"2AB2","mappings":{"default":{"default":"tiene éxito por encima de una línea no es igual a"}}},{"category":"Sm","key":"2AB3","mappings":{"default":{"default":"precede arriba del signo igual"}}},{"category":"Sm","key":"2AB4","mappings":{"default":{"default":"sucede por encima del signo igual"}}},{"key":"2AB5","mappings":{"default":{"default":"precede estrictamente a"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"sigue estrictamente a"}},"category":"Sm"},{"category":"Sm","key":"2AB7","mappings":{"default":{"default":"precede por encima de casi igual a"}}},{"category":"Sm","key":"2AB8","mappings":{"default":{"default":"tiene éxito por encima de casi igual a"}}},{"category":"Sm","key":"2AB9","mappings":{"default":{"default":"precede arriba no es igual a"}}},{"category":"Sm","key":"2ABA","mappings":{"default":{"default":"tiene éxito por encima de no casi igual a"}}},{"key":"2ABB","mappings":{"default":{"default":"precede mucho antes"}},"category":"Sm"},{"key":"2ABC","mappings":{"default":{"default":"sigue mucho después"}},"category":"Sm"},{"key":"2ABD","mappings":{"default":{"default":"subrelación de"}},"category":"Sm"},{"key":"2ABE","mappings":{"default":{"default":"contiene como subrelación a"}},"category":"Sm"},{"key":"2ABF","mappings":{"default":{"default":"incluido con más suscrito"}},"category":"Sm"},{"key":"2AC0","mappings":{"default":{"default":"contiene con más suscrito"}},"category":"Sm"},{"key":"2AC1","mappings":{"default":{"default":"incluido con por suscrito"}},"category":"Sm"},{"key":"2AC2","mappings":{"default":{"default":"contiene con por suscrito"}},"category":"Sm"},{"key":"2AC3","mappings":{"default":{"default":"incluido con punto o es igual a"}},"category":"Sm"},{"key":"2AC4","mappings":{"default":{"default":"contiene con punto o es igual a"}},"category":"Sm"},{"category":"Sm","key":"2AC5","mappings":{"default":{"default":"subconjunto de signo igual arriba"}}},{"category":"Sm","key":"2AC6","mappings":{"default":{"default":"superconjunto de signo igual arriba"}}},{"key":"2AC7","mappings":{"default":{"default":"incluido aproximadamente en"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"contiene aproximadamente a"}},"category":"Sm"},{"category":"Sm","key":"2AC9","mappings":{"default":{"default":"subconjunto de Arriba Casi Igual a"}}},{"category":"Sm","key":"2ACA","mappings":{"default":{"default":"superconjunto de arriba casi igual a"}}},{"category":"Sm","key":"2ACB","mappings":{"default":{"default":"subconjunto de lo anterior no es igual a"}}},{"category":"Sm","key":"2ACC","mappings":{"default":{"default":"superconjunto de arriba no es igual a"}}},{"category":"Sm","key":"2ACD","mappings":{"default":{"default":"operador de caja abierta a la izquierda cuadrada"}}},{"category":"Sm","key":"2ACE","mappings":{"default":{"default":"operador de caja abierta a la derecha cuadrada"}}},{"key":"2ACF","mappings":{"default":{"default":"incluido con cierre en"}},"category":"Sm"},{"key":"2AD0","mappings":{"default":{"default":"contiene al cierre del subconjunto"}},"category":"Sm"},{"key":"2AD1","mappings":{"default":{"default":"incluido el cierre o es igual a"}},"category":"Sm"},{"key":"2AD2","mappings":{"default":{"default":"contiene al cierre del subconjunto o es igual a"}},"category":"Sm"},{"key":"2AD3","mappings":{"default":{"default":"está incluido o contiene a"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"incluido doblemente en"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"contiene doblemente a"}},"category":"Sm"},{"key":"2AD7","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD8","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD9","mappings":{"default":{"default":"perteneciente dirigido hacia abajo"}},"category":"Sm"},{"key":"2ADA","mappings":{"default":{"default":"pitchfork with tee top"}},"category":"Sm"},{"key":"2ADB","mappings":{"default":{"default":"transversal intersection"}},"category":"Sm"},{"category":"Sm","key":"2ADC","mappings":{"default":{"default":"bifurcación"}}},{"category":"Sm","key":"2ADD","mappings":{"default":{"default":"nonforking"}}},{"category":"Sm","key":"2ADE","mappings":{"default":{"default":"tachuela Izquierda Corta"}}},{"category":"Sm","key":"2ADF","mappings":{"default":{"default":"tachuela corta hacia abajo"}}},{"category":"Sm","key":"2AE0","mappings":{"default":{"default":"short Up Tack"}}},{"category":"Sm","key":"2AE1","mappings":{"default":{"default":"perpendicular con s"}}},{"category":"Sm","key":"2AE2","mappings":{"default":{"default":"barra vertical Torniquete a la derecha"}}},{"category":"Sm","key":"2AE3","mappings":{"default":{"default":"barra vertical doble Torniquete izquierdo"}}},{"key":"2AE4","mappings":{"default":{"default":"double left turnstile vertical bar"}},"category":"Sm"},{"category":"Sm","key":"2AE5","mappings":{"default":{"default":"doble barra vertical doble torniquete izquierdo"}}},{"key":"2AE6","mappings":{"default":{"default":"long dash from left member of double vertical"}},"category":"Sm"},{"key":"2AE7","mappings":{"default":{"default":"short down tack with overbar"}},"category":"Sm"},{"key":"2AE8","mappings":{"default":{"default":"barra con perpendicular"}},"category":"Sm"},{"key":"2AE9","mappings":{"default":{"default":"short up tack above short down tack"}},"category":"Sm"},{"category":"Sm","key":"2AEA","mappings":{"default":{"default":"tachuela doble"}}},{"key":"2AEB","mappings":{"default":{"default":"double up tack"}},"category":"Sm"},{"key":"2AEC","mappings":{"default":{"default":"double stroke not sign"}},"category":"Sm"},{"key":"2AED","mappings":{"default":{"default":"reversed double stroke not sign"}},"category":"Sm"},{"key":"2AEE","mappings":{"default":{"default":"does not divide with reversed negation slash"}},"category":"Sm"},{"key":"2AEF","mappings":{"default":{"default":"barra vertical con círculo"}},"category":"Sm"},{"key":"2AF0","mappings":{"default":{"default":"barra con círculo inferior"}},"category":"Sm"},{"key":"2AF1","mappings":{"default":{"default":"down tack with circle below"}},"category":"Sm"},{"key":"2AF2","mappings":{"default":{"default":"paralela con marca"}},"category":"Sm"},{"key":"2AF3","mappings":{"default":{"default":"paralela con tilde"}},"category":"Sm"},{"category":"Sm","key":"2AF4","mappings":{"default":{"default":"relación binaria de barra vertical triple"}}},{"category":"Sm","key":"2AF5","mappings":{"default":{"default":"barra vertical triple con trazo horizontal"}}},{"category":"Sm","key":"2AF6","mappings":{"default":{"default":"operador Triple Colon"}}},{"category":"Sm","key":"2AF7","mappings":{"default":{"default":"triple anidada menos que"}}},{"category":"Sm","key":"2AF8","mappings":{"default":{"default":"triple anidado mayor que"}}},{"category":"Sm","key":"2AF9","mappings":{"default":{"default":"doble línea inclinada menor o igual a"}}},{"category":"Sm","key":"2AFA","mappings":{"default":{"default":"doble línea inclinada mayor o igual a"}}},{"category":"Sm","key":"2AFB","mappings":{"default":{"default":"relación Binaria Triple Sólida"}}},{"category":"Sm","key":"2AFC","mappings":{"default":{"default":"operador de barra vertical triple grande"}}},{"category":"Sm","key":"2AFD","mappings":{"default":{"default":"operador Doble Sólido"}}},{"category":"Sm","key":"2AFE","mappings":{"default":{"default":"barra vertical blanca"}}},{"category":"Sm","key":"2AFF","mappings":{"default":{"default":"barra vertical blanca N-Ary"}}},{"category":"Pd","key":"301C","mappings":{"default":{"default":"wave Dash"}}},{"category":"Po","key":"FE10","mappings":{"default":{"default":"formulario de presentación para coma vertical"}}},{"category":"Po","key":"FE13","mappings":{"default":{"default":"formulario de presentación para colon vertical"}}},{"category":"Po","key":"FE14","mappings":{"default":{"default":"formulario de presentación para punto y coma vertical"}}},{"category":"Po","key":"FE15","mappings":{"default":{"default":"formulario de presentación para el signo de exclamación vertical"}}},{"category":"Po","key":"FE16","mappings":{"default":{"default":"formulario de presentación para el signo de interrogación vertical"}}},{"category":"Po","key":"FE19","mappings":{"default":{"default":"formulario de presentación para elipsis horizontal vertical"}}},{"category":"Po","key":"FE30","mappings":{"default":{"default":"formulario de presentación para líder vertical de dos puntos"}}},{"category":"Pd","key":"FE31","mappings":{"default":{"default":"formulario de presentación para Vertical Em Dash"}}},{"category":"Pd","key":"FE32","mappings":{"default":{"default":"formulario de presentación para Vertical En Dash"}}},{"category":"Pc","key":"FE33","mappings":{"default":{"default":"formulario de presentación para línea vertical baja"}}},{"category":"Pc","key":"FE34","mappings":{"default":{"default":"formulario de presentación para línea baja ondulada vertical"}}},{"category":"Po","key":"FE45","mappings":{"default":{"default":"punto de sésamo"}}},{"category":"Po","key":"FE46","mappings":{"default":{"default":"punto de sésamo blanco"}}},{"category":"Po","key":"FE49","mappings":{"default":{"default":"línea discontinua"}}},{"category":"Po","key":"FE4A","mappings":{"default":{"default":"centinela Overline"}}},{"category":"Po","key":"FE4B","mappings":{"default":{"default":"ondulado Overline"}}},{"category":"Po","key":"FE4C","mappings":{"default":{"default":"doble Ondulado Ondulado"}}},{"category":"Pc","key":"FE4D","mappings":{"default":{"default":"línea baja discontinua"}}},{"category":"Pc","key":"FE4E","mappings":{"default":{"default":"línea baja de línea central"}}},{"category":"Pc","key":"FE4F","mappings":{"default":{"default":"línea baja ondulada"}}},{"category":"Po","key":"FE50","mappings":{"default":{"default":"comas pequeñas"}}},{"category":"Po","key":"FE52","mappings":{"default":{"default":"parada completa pequeña"}}},{"category":"Po","key":"FE54","mappings":{"default":{"default":"pequeño punto y coma"}}},{"category":"Po","key":"FE55","mappings":{"default":{"default":"pequeño colon"}}},{"category":"Po","key":"FE56","mappings":{"default":{"default":"pequeño signo de interrogación"}}},{"category":"Po","key":"FE57","mappings":{"default":{"default":"pequeño signo de exclamación"}}},{"category":"Pd","key":"FE58","mappings":{"default":{"default":"pequeño Em Dash"}}},{"category":"Po","key":"FE5F","mappings":{"default":{"default":"signo de número pequeño"}}},{"category":"Po","key":"FE60","mappings":{"default":{"default":"ampersand pequeño"}}},{"category":"Po","key":"FE61","mappings":{"default":{"default":"pequeño asterisco"}}},{"category":"Sm","key":"FE62","mappings":{"default":{"default":"signo más pequeño"}}},{"category":"Pd","key":"FE63","mappings":{"default":{"default":"pequeño guión-menos"}}},{"category":"Sm","key":"FE64","mappings":{"default":{"default":"signo menor que pequeño"}}},{"category":"Sm","key":"FE65","mappings":{"default":{"default":"signo mayor que pequeño"}}},{"category":"Sm","key":"FE66","mappings":{"default":{"default":"signo pequeño igual"}}},{"key":"FE68","mappings":{"default":{"default":"división entera"}},"category":"Po"},{"category":"Sc","key":"FE69","mappings":{"default":{"default":"pequeño signo de dólar"}}},{"category":"Po","key":"FE6A","mappings":{"default":{"default":"signo de porcentaje pequeño"}}},{"category":"Po","key":"FE6B","mappings":{"default":{"default":"pequeño comercial en"}}},{"category":"Po","key":"FF01","mappings":{"default":{"default":"signo de exclamación de ancho completo"}}},{"category":"Po","key":"FF02","mappings":{"default":{"default":"comillas de ancho completo"}}},{"category":"Po","key":"FF03","mappings":{"default":{"default":"número de signo de ancho completo"}}},{"category":"Sc","key":"FF04","mappings":{"default":{"default":"signo de dólar de ancho completo"}}},{"category":"Po","key":"FF05","mappings":{"default":{"default":"signo de porcentaje de ancho completo"}}},{"category":"Po","key":"FF06","mappings":{"default":{"default":"ampersand de ancho completo"}}},{"category":"Po","key":"FF07","mappings":{"default":{"default":"apóstrofe de ancho completo"}}},{"category":"Po","key":"FF0A","mappings":{"default":{"default":"asterisco de ancho completo"}}},{"category":"Sm","key":"FF0B","mappings":{"default":{"default":"signo de ancho completo"}}},{"category":"Po","key":"FF0C","mappings":{"default":{"default":"coma de ancho completo"}}},{"category":"Pd","key":"FF0D","mappings":{"default":{"default":"ancho de ancho completo"}}},{"category":"Po","key":"FF0E","mappings":{"default":{"default":"fullwidth Full Stop"}}},{"category":"Po","key":"FF0F","mappings":{"default":{"default":"sólido de ancho completo"}}},{"category":"Po","key":"FF1A","mappings":{"default":{"default":"ancho completo de colon"}}},{"category":"Po","key":"FF1B","mappings":{"default":{"default":"punto y coma de ancho completo"}}},{"category":"Sm","key":"FF1C","mappings":{"default":{"default":"ancho completo menos de la señal"}}},{"category":"Sm","key":"FF1D","mappings":{"default":{"default":"signo de igual ancho completo"}}},{"category":"Sm","key":"FF1E","mappings":{"default":{"default":"ancho completo mayor que el signo"}}},{"category":"Po","key":"FF1F","mappings":{"default":{"default":"signo de interrogación de ancho completo"}}},{"category":"Po","key":"FF20","mappings":{"default":{"default":"comercial de ancho completo en"}}},{"category":"Po","key":"FF3C","mappings":{"default":{"default":"sólido inverso de ancho completo"}}},{"category":"Sk","key":"FF3E","mappings":{"default":{"default":"acento circunflejo de ancho completo"}}},{"category":"Pc","key":"FF3F","mappings":{"default":{"default":"línea baja de ancho completo"}}},{"category":"Sk","key":"FF40","mappings":{"default":{"default":"acento grave de ancho completo"}}},{"key":"FF5C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"},{"category":"Sm","key":"FF5E","mappings":{"default":{"default":"tilde de ancho completo"}}},{"category":"Sc","key":"FFE0","mappings":{"default":{"default":"signo de centavo de ancho completo"}}},{"category":"Sc","key":"FFE1","mappings":{"default":{"default":"signo de libra de ancho completo"}}},{"category":"Sm","key":"FFE2","mappings":{"default":{"default":"fullwidth no firmar"}}},{"category":"Sk","key":"FFE3","mappings":{"default":{"default":"ancho completo macron"}}},{"category":"So","key":"FFE4","mappings":{"default":{"default":"barra rota de ancho completo"}}},{"category":"Sc","key":"FFE5","mappings":{"default":{"default":"signo de yen de ancho completo"}}},{"category":"Sc","key":"FFE6","mappings":{"default":{"default":"signo de ancho completo ganado"}}},{"category":"So","key":"FFE8","mappings":{"default":{"default":"formas de ancho medio luz vertical"}}},{"category":"So","key":"FFED","mappings":{"default":{"default":"medio ancho cuadrado negro"}}},{"category":"So","key":"FFEE","mappings":{"default":{"default":"círculo blanco de medio ancho"}}}]
+,
+"es/symbols/math_whitespace.js": 
+[{"locale":"es"},{"category":"Zs","key":"0020","mappings":{"default":{"default":"espacio"}}},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"guión corto"}},"category":"Cf"},{"category":"Zs","key":"2000","mappings":{"default":{"default":"en quad"}}},{"category":"Zs","key":"2001","mappings":{"default":{"default":"em Quad"}}},{"key":"2002","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2004","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2005","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Zs","key":"2006","mappings":{"default":{"default":"espacio Six-Per-Em"}}},{"key":"2007","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2008","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"200C","mappings":{"default":{"default":"ancho de cero no ensamblador"}},"category":"Cf"},{"key":"200D","mappings":{"default":{"default":"ancho de cero ensamblador"}},"category":"Cf"},{"key":"200E","mappings":{"default":{"default":"marca de izquierda a derecha"}},"category":"Cf"},{"key":"200F","mappings":{"default":{"default":"marca de derecha a izquierda"}},"category":"Cf"},{"category":"Zl","key":"2028","mappings":{"default":{"default":"separador de linea"}}},{"category":"Zp","key":"2029","mappings":{"default":{"default":"separador de párrafo"}}},{"category":"Cf","key":"202A","mappings":{"default":{"default":"incrustación de izquierda a derecha"}}},{"category":"Cf","key":"202B","mappings":{"default":{"default":"incrustación de derecha a izquierda"}}},{"category":"Cf","key":"202C","mappings":{"default":{"default":"formato direccional pop"}}},{"category":"Cf","key":"202D","mappings":{"default":{"default":"anulación de izquierda a derecha"}}},{"category":"Cf","key":"202E","mappings":{"default":{"default":"anulación de derecha a izquierda"}}},{"category":"Zs","key":"202F","mappings":{"default":{"default":"espacio estrecho sin descanso"}}},{"key":"205F","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2060","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"2061","mappings":{"default":{"default":"de"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":"por"}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":"coma"}},"category":"Cf"},{"key":"2064","mappings":{"default":{"default":"más"}},"category":"Cf"},{"category":"Cf","key":"206A","mappings":{"default":{"default":"inhibir el intercambio simétrico"}}},{"category":"Cf","key":"206B","mappings":{"default":{"default":"activar el intercambio simétrico"}}},{"category":"Cf","key":"206E","mappings":{"default":{"default":"formas de dígitos nacionales"}}},{"category":"Cf","key":"206F","mappings":{"default":{"default":"formas de dígitos nominales"}}},{"key":"FEFF","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"FFF9","mappings":{"default":{"default":"ancla de anotación interlinear"}}},{"category":"Cf","key":"FFFA","mappings":{"default":{"default":"separador de anotación interlinear"}}},{"category":"Cf","key":"FFFB","mappings":{"default":{"default":"terminador de anotación interlinear"}}}]
+,
+"es/symbols/other_stars.js": 
+[{"locale":"es"},{"category":"So","key":"23E8","mappings":{"default":{"default":"símbolo exponente decimal"}}},{"key":"2605","mappings":{"default":{"default":"estrella rellena"}},"category":"So"},{"key":"2606","mappings":{"default":{"default":"estrella vacía"}},"category":"So"},{"category":"So","key":"26AA","mappings":{"default":{"default":"círculo blanco medio"}}},{"category":"So","key":"26AB","mappings":{"default":{"default":"círculo negro medio"}}},{"category":"So","key":"2705","mappings":{"default":{"default":"marca de verificación pesada blanca"}}},{"key":"2713","mappings":{"default":{"default":"check mark"}},"category":"So"},{"category":"So","key":"2714","mappings":{"default":{"default":"marca de verificación pesada"}}},{"category":"So","key":"2715","mappings":{"default":{"default":"multiplicación x"}}},{"category":"So","key":"2716","mappings":{"default":{"default":"multiplicación pesada X"}}},{"key":"2717","mappings":{"default":{"default":"ballot x"}},"category":"So"},{"category":"So","key":"2718","mappings":{"default":{"default":"boleta pesada X"}}},{"category":"So","key":"271B","mappings":{"default":{"default":"centro abierto de la cruz"}}},{"category":"So","key":"271C","mappings":{"default":{"default":"pesado centro abierto cruz"}}},{"key":"2720","mappings":{"default":{"default":"cruz de Malta"}},"category":"So"},{"category":"So","key":"2721","mappings":{"default":{"default":"estrella de David"}}},{"category":"So","key":"2722","mappings":{"default":{"default":"cuatro asterisco de lágrima"}}},{"category":"So","key":"2723","mappings":{"default":{"default":"cuatro asterisco de globo"}}},{"category":"So","key":"2724","mappings":{"default":{"default":"pesado Cuatro asterisco impulsado por globo"}}},{"category":"So","key":"2725","mappings":{"default":{"default":"cuatro asterisco de club-spoked"}}},{"category":"So","key":"2726","mappings":{"default":{"default":"estrella de cuatro puntas negra"}}},{"category":"So","key":"2727","mappings":{"default":{"default":"estrella blanca de cuatro puntas"}}},{"category":"So","key":"2728","mappings":{"default":{"default":"destellos"}}},{"category":"So","key":"2729","mappings":{"default":{"default":"estrés subrayado estrella blanca"}}},{"category":"So","key":"272A","mappings":{"default":{"default":"estrella blanca circulada"}}},{"category":"So","key":"272B","mappings":{"default":{"default":"centro Abierto Estrella Negra"}}},{"category":"So","key":"272C","mappings":{"default":{"default":"centro negro estrella blanca"}}},{"category":"So","key":"272D","mappings":{"default":{"default":"contorneado negro estrella"}}},{"category":"So","key":"272E","mappings":{"default":{"default":"estrella negra contorneada pesada"}}},{"category":"So","key":"272F","mappings":{"default":{"default":"pinwheel Star"}}},{"category":"So","key":"2730","mappings":{"default":{"default":"estrella blanca sombreada"}}},{"category":"So","key":"2731","mappings":{"default":{"default":"asterisco pesado"}}},{"category":"So","key":"2732","mappings":{"default":{"default":"centro abierto de asterisco"}}},{"category":"So","key":"2733","mappings":{"default":{"default":"ocho asterisco hablado"}}},{"category":"So","key":"2734","mappings":{"default":{"default":"ocho estrellas negras puntiagudas"}}},{"category":"So","key":"2735","mappings":{"default":{"default":"ocho estrellas de molinete en punta"}}},{"key":"2736","mappings":{"default":{"default":"estrella rellena de seis puntas"}},"category":"So"},{"category":"So","key":"2739","mappings":{"default":{"default":"doce estrellas negras puntiagudas"}}},{"category":"So","key":"273A","mappings":{"default":{"default":"dieciséis asteriscos en punta"}}},{"category":"So","key":"273B","mappings":{"default":{"default":"asterisco con efecto de lágrima"}}},{"category":"So","key":"273C","mappings":{"default":{"default":"centro abierto con asterisco con forma de lágrima"}}},{"key":"273D","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"category":"So"},{"category":"So","key":"273E","mappings":{"default":{"default":"seis pétalos de florette en blanco y negro"}}},{"category":"So","key":"273F","mappings":{"default":{"default":"florette negro"}}},{"category":"So","key":"2740","mappings":{"default":{"default":"florette blanco"}}},{"category":"So","key":"2741","mappings":{"default":{"default":"ocho Petalled Outlined Black Florette"}}},{"category":"So","key":"2742","mappings":{"default":{"default":"círculo abierto centro ocho estrellas señaladas"}}},{"category":"So","key":"2743","mappings":{"default":{"default":"asterisco pesado del molinillo de viento"}}},{"category":"So","key":"2744","mappings":{"default":{"default":"copo de nieve"}}},{"category":"So","key":"2745","mappings":{"default":{"default":"copo de nieve trifolio apretado"}}},{"category":"So","key":"2746","mappings":{"default":{"default":"copo de nieve pesado de Chevron"}}},{"category":"So","key":"2747","mappings":{"default":{"default":"brillar"}}},{"category":"So","key":"2748","mappings":{"default":{"default":"chispa pesada"}}},{"category":"So","key":"2749","mappings":{"default":{"default":"asterisco de globo"}}},{"category":"So","key":"274A","mappings":{"default":{"default":"ocho asterisco de hélice con efecto de lágrima"}}},{"category":"So","key":"274B","mappings":{"default":{"default":"heavy eight asterisk de hélice en forma de lágrima"}}},{"category":"So","key":"274C","mappings":{"default":{"default":"marca de la cruz"}}},{"category":"So","key":"274D","mappings":{"default":{"default":"círculo blanco sombreado"}}}]
+,
+"es/units/energy.js": 
+[{"locale":"es"},{"key":"W","names":["W","w"],"mappings":{"default":{"default":"watt"}},"category":"energy"},{"key":"kW","names":["kw","kW"],"mappings":{"default":{"default":"kilowatt"}},"category":"energy"},{"key":"mW","names":["mw","mW"],"mappings":{"default":{"default":"miliwatt"}},"category":"energy"},{"key":"kwh","names":["kwh","kWh"],"mappings":{"default":{"default":"kilowatt hora"}},"category":"energy"},{"key":"J","names":["J"],"mappings":{"default":{"default":"Joule"}},"category":"energy"},{"key":"N","names":["N"],"mappings":{"default":{"default":"Newton"}},"category":"energy"},{"key":"A","names":["A"],"mappings":{"default":{"default":"Ampere"}},"category":"energy"},{"key":"V","names":["V"],"mappings":{"default":{"default":"Voltio"}},"category":"energy"},{"key":"µΩ","names":["µΩ"],"mappings":{"default":{"default":"microohmio"}},"category":"energy"},{"key":"mΩ","names":["mΩ"],"mappings":{"default":{"default":"miliohmio"}},"category":"energy"},{"key":"Ω","names":["Ω","Ohm"],"mappings":{"default":{"default":"ohmio"}},"category":"energy"},{"key":"kΩ","names":["kΩ","KΩ"],"mappings":{"default":{"default":"kiloohmio"}},"category":"energy"},{"key":"MΩ","names":["MΩ"],"mappings":{"default":{"default":"megaohmio"}},"category":"energy"},{"key":"GΩ","names":["GΩ"],"mappings":{"default":{"default":"gigaohmio"}},"category":"energy"}]
+,
+"es/units/length.js": 
+[{"locale":"es"},{"key":"mm","names":["mm"],"mappings":{"default":{"default":"milímetro"}},"category":"length"},{"key":"cm","names":["cm"],"mappings":{"default":{"default":"centímetro"}},"category":"length"},{"key":"m","names":["m"],"mappings":{"default":{"default":"metro"}},"category":"length"},{"key":"km","names":["km"],"mappings":{"default":{"default":"kilómetro"}},"category":"length"},{"key":"ft","names":["ft","ft."],"mappings":{"default":{"default":"pies"}},"category":"length"},{"key":"in","names":["in","in."],"mappings":{"default":{"default":"pulgada"}},"category":"length"},{"key":"mi","names":["mi","mi."],"mappings":{"default":{"default":"milla"}},"category":"length"},{"key":"yd","names":["yd","yd."],"mappings":{"default":{"default":"yarda"}},"category":"length"},{"key":"n.m.","names":["n.m."],"mappings":{"default":{"default":"millas náuticas"}},"category":"length"}]
+,
+"es/units/memory.js": 
+[{"locale":"es"},{"key":"b","names":["b"],"mappings":{"default":{"default":"bit"}},"category":"memory"},{"key":"B","names":["B"],"mappings":{"default":{"default":"byte"}},"category":"memory"},{"key":"KB","names":["KB"],"mappings":{"default":{"default":"kilobyte"}},"category":"memory"},{"key":"MB","names":["MB"],"mappings":{"default":{"default":"megabyte"}},"category":"memory"},{"key":"GB","names":["GB"],"mappings":{"default":{"default":"gigabyte"}},"category":"memory"},{"key":"TB","names":["TB"],"mappings":{"default":{"default":"terabyte"}},"category":"memory"}]
+,
+"es/units/other.js": 
+[{"locale":"es"},{"key":"doz","names":["doz","doz.","dz","dz."],"mappings":{"default":{"default":"docena"}},"category":"other"},{"key":"sq","names":["sq","sq."],"mappings":{"default":{"default":"al cuadrado"}},"category":"other"},{"key":"ha","names":["ha"],"mappings":{"default":{"default":"hectarea"}},"category":"other"}]
+,
+"es/units/speed.js": 
+[{"locale":"es"},{"key":"kt","names":["kt","kt."],"mappings":{"default":{"default":"nudo"}},"category":"speed"},{"key":"mph","names":["mph"],"mappings":{"default":{"default":"millas por hora"}},"category":"speed"},{"key":"rpm","names":["rpm"],"mappings":{"default":{"default":"revoluciones por minuto"}},"category":"speed"},{"key":"kmh","names":["kmh"],"mappings":{"default":{"default":"kilómetros por hora"}},"category":"speed"}]
+,
+"es/units/temperature.js": 
+[{"locale":"es"},{"key":"F","names":["F","F.","°F"],"mappings":{"default":{"default":"Fahrenheit"}},"category":"temperature"},{"key":"C","names":["C","°C"],"mappings":{"default":{"default":"centígrados"}},"category":"temperature"},{"key":"K","names":["K","°K"],"mappings":{"default":{"default":"Kelvin"}},"category":"temperature"}]
+,
+"es/units/time.js": 
+[{"locale":"es"},{"key":"ns","names":["ns"],"mappings":{"default":{"default":"nanosegundos"}},"category":"time"},{"key":"µs","names":["µs"],"mappings":{"default":{"default":"microsegundos"}},"category":"time"},{"key":"ms","names":["ms"],"mappings":{"default":{"default":"milisegundos"}},"category":"time"},{"key":"s","names":["s"],"mappings":{"default":{"default":"segundos"}},"category":"time"},{"key":"min","names":["min"],"mappings":{"default":{"default":"minutos"}},"category":"time"},{"key":"h","names":["h","hr"],"mappings":{"default":{"default":"hora"}},"category":"time"}]
+,
+"es/units/volume.js": 
+[{"locale":"es"},{"key":"bbl","names":["bbl.","bbl"],"mappings":{"default":{"default":"barrile"}},"category":"volume"},{"key":"cu","names":["cu","cu."],"mappings":{"default":{"default":"cúbico"}},"category":"volume"},{"key":"fl. oz.","names":["fl. oz."],"mappings":{"default":{"default":"onzas líquidas"}},"category":"volume"},{"key":"gal","names":["gal","gal."],"mappings":{"default":{"default":"galone"}},"category":"volume"},{"key":"pt","names":["pt","pt."],"mappings":{"default":{"default":"pinta"}},"category":"volume"},{"key":"qt","names":["qt","qt."],"mappings":{"default":{"default":"quart"}},"category":"volume"},{"key":"tbsp","names":["tbsp","tbsp."],"mappings":{"default":{"default":"cuchara"}},"category":"volume"},{"key":"tsp","names":["tsp","tsp."],"mappings":{"default":{"default":"cucharilla"}},"category":"volume"},{"key":"cc","names":["cc"],"mappings":{"default":{"default":"centímetros cúbicos"}},"category":"volume"},{"key":"kl","names":["kl"],"mappings":{"default":{"default":"kilolitro"}},"category":"volume"},{"key":"l","names":["l"],"mappings":{"default":{"default":"litro"}},"category":"volume"},{"key":"ml","names":["ml"],"mappings":{"default":{"default":"mililitro"}},"category":"volume"}]
+,
+"es/units/weight.js": 
+[{"locale":"es"},{"key":"lb","names":["lb","lb."],"mappings":{"default":{"default":"libra"}},"category":"weight"},{"key":"LT","names":["LT","L.T."],"mappings":{"default":{"default":"libras imperiales"}},"category":"weight"},{"key":"oz","names":["oz","oz."],"mappings":{"default":{"default":"onza"}},"category":"weight"},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"microgramo"}},"category":"weight"},{"key":"gr","names":["g","gr"],"mappings":{"default":{"default":"gramo"}},"category":"weight"},{"key":"kg","names":["kg"],"mappings":{"default":{"default":"kilogramo"}},"category":"weight"},{"key":"mg","names":["mg"],"mappings":{"default":{"default":"miligramo"}},"category":"weight"},{"key":"t","names":["t","T"],"mappings":{"default":{"default":"tonelada"}},"category":"weight"}]
+}
+
diff --git a/extensions/a11y/mathmaps/es/functions/algebra.js b/extensions/a11y/mathmaps/es/functions/algebra.js
deleted file mode 100644
index 96cfc372a2..0000000000
--- a/extensions/a11y/mathmaps/es/functions/algebra.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"deg","names":["deg"],"mappings":{"default":{"default":"grados"}},"category":"Algebra"},{"key":"det","names":["det"],"mappings":{"default":{"default":"determinante"}},"category":"Algebra"},{"key":"dim","names":["dim"],"mappings":{"default":{"default":"dimensión"}},"category":"Algebra"},{"key":"hom","names":["hom","Hom"],"mappings":{"default":{"default":"homomorfismo"}},"category":"Algebra"},{"key":"ker","names":["ker"],"mappings":{"default":{"default":"kernel"}},"category":"Algebra"},{"key":"Tr","names":["Tr","tr"],"mappings":{"default":{"default":"traza"}},"category":"Algebra"}]
diff --git a/extensions/a11y/mathmaps/es/functions/elementary.js b/extensions/a11y/mathmaps/es/functions/elementary.js
deleted file mode 100644
index 30c0978e88..0000000000
--- a/extensions/a11y/mathmaps/es/functions/elementary.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"log","names":["log"],"mappings":{"default":{"default":"logaritmo"}},"category":"Logarithm"},{"key":"ln","names":["ln"],"mappings":{"default":{"default":"logaritmo neperiano"}},"category":"Logarithm"},{"key":"lg","names":["lg"],"mappings":{"default":{"default":"logaritmo base 10"}},"category":"Logarithm"},{"key":"exp","names":["exp","expt"],"mappings":{"default":{"default":"exponente"}},"category":"Elementary"},{"key":"gcd","names":["gcd"],"mappings":{"default":{"default":"MCD"}},"category":"Elementary"},{"key":"lcm","names":["lcm"],"mappings":{"default":{"default":"mcm"}},"category":"Elementary"},{"key":"arg","names":["arg"],"mappings":{"default":{"default":"argumento"}},"category":"Complex"},{"key":"im","names":["im"],"mappings":{"default":{"default":"parte imaginaria"}},"category":"Complex"},{"key":"re","names":["re"],"mappings":{"default":{"default":"residuo"}},"category":"Complex"},{"key":"inf","names":["inf"],"mappings":{"default":{"default":"extremo inferior"}},"category":"Limits"},{"key":"lim","names":["lim"],"mappings":{"default":{"default":"límite"}},"category":"Limits"},{"key":"max","names":["max"],"mappings":{"default":{"default":"máximo"}},"category":"Limits"},{"key":"min","names":["min"],"mappings":{"default":{"default":"mínimo"}},"category":"Limits"},{"key":"sup","names":["sup"],"mappings":{"default":{"default":"superior"}},"category":"Limits"},{"key":"lim inf","names":["lim inf","liminf"],"mappings":{"default":{"default":"límite inferior"}},"category":"Limits"},{"key":"lim sup","names":["lim sup","limsup"],"mappings":{"default":{"default":"límite superior"}},"category":"Limits"},{"key":"injlim","names":["injlim","inj lim"],"mappings":{"default":{"default":"límite directo"}},"category":"Limits"},{"key":"projlim","names":["projlim","proj lim"],"mappings":{"default":{"default":"límite inverso"}},"category":"Limits"},{"key":"mod","names":["mod"],"mappings":{"default":{"default":"módulo"}},"category":"Elementary"},{"key":"Pr","names":["Pr"],"mappings":{"default":{"default":"probabilidad"}},"category":"Probability"}]
diff --git a/extensions/a11y/mathmaps/es/functions/hyperbolic.js b/extensions/a11y/mathmaps/es/functions/hyperbolic.js
deleted file mode 100644
index eaac560c21..0000000000
--- a/extensions/a11y/mathmaps/es/functions/hyperbolic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"cosh","names":["cosh"],"mappings":{"default":{"default":"coseno hiperbólico"}},"category":"Hyperbolic"},{"key":"coth","names":["coth"],"mappings":{"default":{"default":"cotangente hiperbólica"}},"category":"Hyperbolic"},{"key":"csch","names":["csch"],"mappings":{"default":{"default":"cosecante hiperbólica"}},"category":"Hyperbolic"},{"key":"sech","names":["sech"],"mappings":{"default":{"default":"secante hiperbólica"}},"category":"Hyperbolic"},{"key":"sinh","names":["sinh"],"mappings":{"default":{"default":"seno hiperbólico"}},"category":"Hyperbolic"},{"key":"tanh","names":["tanh"],"mappings":{"default":{"default":"tangente hiperbólica"}},"category":"Hyperbolic"},{"key":"arcosh","names":["arcosh","arccosh"],"mappings":{"default":{"default":"area coseno hiperbólico"}},"category":"Area"},{"key":"arcoth","names":["arcoth","arccoth"],"mappings":{"default":{"default":"area cotangente hiperbólica"}},"category":"Area"},{"key":"arcsch","names":["arcsch","arccsch"],"mappings":{"default":{"default":"area cosecante hiperbólica"}},"category":"Area"},{"key":"arsech","names":["arsech","arcsech"],"mappings":{"default":{"default":"area secante hiperbólica"}},"category":"Area"},{"key":"arsinh","names":["arsinh","arcsinh"],"mappings":{"default":{"default":"area seno hiperbólico"}},"category":"Area"},{"key":"artanh","names":["artanh","arctanh"],"mappings":{"default":{"default":"area tangente hiperbólica"}},"category":"Area"}]
diff --git a/extensions/a11y/mathmaps/es/functions/trigonometry.js b/extensions/a11y/mathmaps/es/functions/trigonometry.js
deleted file mode 100644
index 0d7550d76b..0000000000
--- a/extensions/a11y/mathmaps/es/functions/trigonometry.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"cos","names":["cos","cosine"],"mappings":{"default":{"default":"coseno"}},"category":"Trigonometric"},{"key":"cot","names":["cot"],"mappings":{"default":{"default":"cotangente"}},"category":"Trigonometric"},{"key":"csc","names":["csc"],"mappings":{"default":{"default":"cosecante"}},"category":"Trigonometric"},{"key":"sec","names":["sec"],"mappings":{"default":{"default":"secant"}},"category":"Trigonometric"},{"key":"sin","names":["sin","sine","sen"],"mappings":{"default":{"default":"seno"}},"category":"Trigonometric"},{"key":"tan","names":["tan"],"mappings":{"default":{"default":"tangente"}},"category":"Trigonometric"},{"key":"arccos","names":["arccos"],"mappings":{"default":{"default":"arco coseno"}},"category":"Cyclometric"},{"key":"arccot","names":["arccot"],"mappings":{"default":{"default":"arco cotangente"}},"category":"Cyclometric"},{"key":"arccsc","names":["arccsc"],"mappings":{"default":{"default":"arco cosecante"}},"category":"Cyclometric"},{"key":"arcsec","names":["arcsec"],"mappings":{"default":{"default":"arco secante"}},"category":"Cyclometric"},{"key":"arcsin","names":["arcsin"],"mappings":{"default":{"default":"arco seno"}},"category":"Cyclometric"},{"key":"arctan","names":["arctan"],"mappings":{"default":{"default":"arco tangente"}},"category":"Cyclometric"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/greek-capital.js b/extensions/a11y/mathmaps/es/symbols/greek-capital.js
deleted file mode 100644
index dc41c695ef..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/greek-capital.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"0391","mappings":{"default":{"default":"mayúscula Alfa"}},"category":"Lu"},{"key":"0392","mappings":{"default":{"default":"mayúscula Beta"}},"category":"Lu"},{"key":"0393","mappings":{"default":{"default":"mayúscula Gamma"}},"category":"Lu"},{"key":"0394","mappings":{"default":{"default":"mayúscula Delta"}},"category":"Lu"},{"key":"0395","mappings":{"default":{"default":"mayúscula Épsilon"}},"category":"Lu"},{"key":"0396","mappings":{"default":{"default":"mayúscula Zeta"}},"category":"Lu"},{"key":"0397","mappings":{"default":{"default":"mayúscula Eta"}},"category":"Lu"},{"key":"0398","mappings":{"default":{"default":"mayúscula Theta"}},"category":"Lu"},{"key":"0399","mappings":{"default":{"default":"mayúscula Iota"}},"category":"Lu"},{"key":"039A","mappings":{"default":{"default":"mayúscula Kappa"}},"category":"Lu"},{"key":"039B","mappings":{"default":{"default":"mayúscula Lambda"}},"category":"Lu"},{"key":"039C","mappings":{"default":{"default":"mayúscula Mi"}},"category":"Lu"},{"key":"039D","mappings":{"default":{"default":"mayúscula Ni"}},"category":"Lu"},{"key":"039E","mappings":{"default":{"default":"mayúscula Xi"}},"category":"Lu"},{"key":"039F","mappings":{"default":{"default":"mayúscula Ómicron"}},"category":"Lu"},{"key":"03A0","mappings":{"default":{"default":"mayúscula Pi"}},"category":"Lu"},{"key":"03A1","mappings":{"default":{"default":"mayúscula Rho"}},"category":"Lu"},{"key":"03A3","mappings":{"default":{"default":"mayúscula Sigma"}},"category":"Lu"},{"key":"03A4","mappings":{"default":{"default":"mayúscula Tau"}},"category":"Lu"},{"key":"03A5","mappings":{"default":{"default":"mayúscula Ípsilon"}},"category":"Lu"},{"key":"03A6","mappings":{"default":{"default":"mayúscula Phi"}},"category":"Lu"},{"key":"03A7","mappings":{"default":{"default":"mayúscula Ji"}},"category":"Lu"},{"key":"03A8","mappings":{"default":{"default":"mayúscula Psi"}},"category":"Lu"},{"key":"03A9","mappings":{"default":{"default":"mayúscula Omega"}},"category":"Lu"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-bold.js b/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-bold.js
deleted file mode 100644
index ce70461d81..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Alfa"}},"key":"1D6A8"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Beta"}},"key":"1D6A9"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Gamma"}},"key":"1D6AA"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Delta"}},"key":"1D6AB"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Épsilon"}},"key":"1D6AC"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Zeta"}},"key":"1D6AD"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Eta"}},"key":"1D6AE"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Theta"}},"key":"1D6AF"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Iota"}},"key":"1D6B0"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Kappa"}},"key":"1D6B1"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Lambda"}},"key":"1D6B2"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Mi"}},"key":"1D6B3"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ni"}},"key":"1D6B4"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Xi"}},"key":"1D6B5"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ómicron"}},"key":"1D6B6"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Pi"}},"key":"1D6B7"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Rho"}},"key":"1D6B8"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Sigma"}},"key":"1D6BA"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Tau"}},"key":"1D6BB"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ípsilon"}},"key":"1D6BC"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Phi"}},"key":"1D6BD"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ji"}},"key":"1D6BE"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Psi"}},"key":"1D6BF"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Omega"}},"key":"1D6C0"},{"category":"Ll","mappings":{"default":{"default":"negrita alfa"}},"key":"1D6C2"},{"category":"Ll","mappings":{"default":{"default":"negrita beta"}},"key":"1D6C3"},{"category":"Ll","mappings":{"default":{"default":"negrita gamma"}},"key":"1D6C4"},{"category":"Ll","mappings":{"default":{"default":"negrita delta"}},"key":"1D6C5"},{"category":"Ll","mappings":{"default":{"default":"negrita épsilon"}},"key":"1D6C6"},{"category":"Ll","mappings":{"default":{"default":"negrita zeta"}},"key":"1D6C7"},{"category":"Ll","mappings":{"default":{"default":"negrita eta"}},"key":"1D6C8"},{"category":"Ll","mappings":{"default":{"default":"negrita theta"}},"key":"1D6C9"},{"category":"Ll","mappings":{"default":{"default":"negrita iota"}},"key":"1D6CA"},{"category":"Ll","mappings":{"default":{"default":"negrita kappa"}},"key":"1D6CB"},{"category":"Ll","mappings":{"default":{"default":"negrita lambda"}},"key":"1D6CC"},{"category":"Ll","mappings":{"default":{"default":"negrita mi"}},"key":"1D6CD"},{"category":"Ll","mappings":{"default":{"default":"negrita ni"}},"key":"1D6CE"},{"category":"Ll","mappings":{"default":{"default":"negrita xi"}},"key":"1D6CF"},{"category":"Ll","mappings":{"default":{"default":"negrita ómicron"}},"key":"1D6D0"},{"category":"Ll","mappings":{"default":{"default":"negrita pi"}},"key":"1D6D1"},{"category":"Ll","mappings":{"default":{"default":"negrita rho"}},"key":"1D6D2"},{"category":"Ll","mappings":{"default":{"default":"negrita final sigma"}},"key":"1D6D3"},{"category":"Ll","mappings":{"default":{"default":"negrita sigma"}},"key":"1D6D4"},{"category":"Ll","mappings":{"default":{"default":"negrita tau"}},"key":"1D6D5"},{"category":"Ll","mappings":{"default":{"default":"negrita ípsilon"}},"key":"1D6D6"},{"category":"Ll","mappings":{"default":{"default":"negrita phi"}},"key":"1D6D7"},{"category":"Ll","mappings":{"default":{"default":"negrita ji"}},"key":"1D6D8"},{"category":"Ll","mappings":{"default":{"default":"negrita psi"}},"key":"1D6D9"},{"category":"Ll","mappings":{"default":{"default":"negrita omega"}},"key":"1D6DA"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-italic.js b/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-italic.js
deleted file mode 100644
index d788acc304..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-italic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Alfa"}},"key":"1D6E2"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Beta"}},"key":"1D6E3"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Gamma"}},"key":"1D6E4"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Delta"}},"key":"1D6E5"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Épsilon"}},"key":"1D6E6"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Zeta"}},"key":"1D6E7"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Eta"}},"key":"1D6E8"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Theta"}},"key":"1D6E9"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Iota"}},"key":"1D6EA"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Kappa"}},"key":"1D6EB"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Lambda"}},"key":"1D6EC"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Mi"}},"key":"1D6ED"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ni"}},"key":"1D6EE"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Xi"}},"key":"1D6EF"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ómicron"}},"key":"1D6F0"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Pi"}},"key":"1D6F1"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Rho"}},"key":"1D6F2"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Sigma"}},"key":"1D6F4"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Tau"}},"key":"1D6F5"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ípsilon"}},"key":"1D6F6"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Phi"}},"key":"1D6F7"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ji"}},"key":"1D6F8"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Psi"}},"key":"1D6F9"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Omega"}},"key":"1D6FA"},{"category":"Ll","mappings":{"default":{"default":"cursiva alfa"}},"key":"1D6FC"},{"category":"Ll","mappings":{"default":{"default":"cursiva beta"}},"key":"1D6FD"},{"category":"Ll","mappings":{"default":{"default":"cursiva gamma"}},"key":"1D6FE"},{"category":"Ll","mappings":{"default":{"default":"cursiva delta"}},"key":"1D6FF"},{"category":"Ll","mappings":{"default":{"default":"cursiva épsilon"}},"key":"1D700"},{"category":"Ll","mappings":{"default":{"default":"cursiva zeta"}},"key":"1D701"},{"category":"Ll","mappings":{"default":{"default":"cursiva eta"}},"key":"1D702"},{"category":"Ll","mappings":{"default":{"default":"cursiva theta"}},"key":"1D703"},{"category":"Ll","mappings":{"default":{"default":"cursiva iota"}},"key":"1D704"},{"category":"Ll","mappings":{"default":{"default":"cursiva kappa"}},"key":"1D705"},{"category":"Ll","mappings":{"default":{"default":"cursiva lambda"}},"key":"1D706"},{"category":"Ll","mappings":{"default":{"default":"cursiva mi"}},"key":"1D707"},{"category":"Ll","mappings":{"default":{"default":"cursiva ni"}},"key":"1D708"},{"category":"Ll","mappings":{"default":{"default":"cursiva xi"}},"key":"1D709"},{"category":"Ll","mappings":{"default":{"default":"cursiva ómicron"}},"key":"1D70A"},{"category":"Ll","mappings":{"default":{"default":"cursiva pi"}},"key":"1D70B"},{"category":"Ll","mappings":{"default":{"default":"cursiva rho"}},"key":"1D70C"},{"category":"Ll","mappings":{"default":{"default":"cursiva final sigma"}},"key":"1D70D"},{"category":"Ll","mappings":{"default":{"default":"cursiva sigma"}},"key":"1D70E"},{"category":"Ll","mappings":{"default":{"default":"cursiva tau"}},"key":"1D70F"},{"category":"Ll","mappings":{"default":{"default":"cursiva ípsilon"}},"key":"1D710"},{"category":"Ll","mappings":{"default":{"default":"cursiva phi"}},"key":"1D711"},{"category":"Ll","mappings":{"default":{"default":"cursiva ji"}},"key":"1D712"},{"category":"Ll","mappings":{"default":{"default":"cursiva psi"}},"key":"1D713"},{"category":"Ll","mappings":{"default":{"default":"cursiva omega"}},"key":"1D714"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-sans-serif-bold.js b/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-sans-serif-bold.js
deleted file mode 100644
index cb8602989d..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-sans-serif-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Alfa"}},"key":"1D756"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Beta"}},"key":"1D757"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Gamma"}},"key":"1D758"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Delta"}},"key":"1D759"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Épsilon"}},"key":"1D75A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Zeta"}},"key":"1D75B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Eta"}},"key":"1D75C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Theta"}},"key":"1D75D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Iota"}},"key":"1D75E"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Kappa"}},"key":"1D75F"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Lambda"}},"key":"1D760"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Mi"}},"key":"1D761"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ni"}},"key":"1D762"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Xi"}},"key":"1D763"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ómicron"}},"key":"1D764"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Pi"}},"key":"1D765"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Rho"}},"key":"1D766"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Sigma"}},"key":"1D768"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Tau"}},"key":"1D769"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ípsilon"}},"key":"1D76A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Phi"}},"key":"1D76B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ji"}},"key":"1D76C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Psi"}},"key":"1D76D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Omega"}},"key":"1D76E"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita alfa"}},"key":"1D770"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita beta"}},"key":"1D771"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita gamma"}},"key":"1D772"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita delta"}},"key":"1D773"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita épsilon"}},"key":"1D774"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita zeta"}},"key":"1D775"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita eta"}},"key":"1D776"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita theta"}},"key":"1D777"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita iota"}},"key":"1D778"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita kappa"}},"key":"1D779"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita lambda"}},"key":"1D77A"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita mi"}},"key":"1D77B"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ni"}},"key":"1D77C"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita xi"}},"key":"1D77D"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ómicron"}},"key":"1D77E"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita pi"}},"key":"1D77F"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita rho"}},"key":"1D780"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita final sigma"}},"key":"1D781"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita sigma"}},"key":"1D782"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita tau"}},"key":"1D783"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ípsilon"}},"key":"1D784"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita phi"}},"key":"1D785"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ji"}},"key":"1D786"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita psi"}},"key":"1D787"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita omega"}},"key":"1D788"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/greek-scripts.js b/extensions/a11y/mathmaps/es/symbols/greek-scripts.js
deleted file mode 100644
index d7eee0e1b7..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/greek-scripts.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/greek-small.js b/extensions/a11y/mathmaps/es/symbols/greek-small.js
deleted file mode 100644
index df532758b3..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/greek-small.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"03B1","mappings":{"default":{"default":"alfa"}},"category":"Ll"},{"key":"03B2","mappings":{"default":{"default":"beta"}},"category":"Ll"},{"key":"03B3","mappings":{"default":{"default":"gamma"}},"category":"Ll"},{"key":"03B4","mappings":{"default":{"default":"delta"}},"category":"Ll"},{"key":"03B5","mappings":{"default":{"default":"épsilon"}},"category":"Ll"},{"key":"03B6","mappings":{"default":{"default":"zeta"}},"category":"Ll"},{"key":"03B7","mappings":{"default":{"default":"eta"}},"category":"Ll"},{"key":"03B8","mappings":{"default":{"default":"theta"}},"category":"Ll"},{"key":"03B9","mappings":{"default":{"default":"iota"}},"category":"Ll"},{"key":"03BA","mappings":{"default":{"default":"kappa"}},"category":"Ll"},{"key":"03BB","mappings":{"default":{"default":"lambda"}},"category":"Ll"},{"key":"03BC","mappings":{"default":{"default":"mi"}},"category":"Ll"},{"key":"03BD","mappings":{"default":{"default":"ni"}},"category":"Ll"},{"key":"03BE","mappings":{"default":{"default":"xi"}},"category":"Ll"},{"key":"03BF","mappings":{"default":{"default":"ómicron"}},"category":"Ll"},{"key":"03C0","mappings":{"default":{"default":"pi"}},"category":"Ll"},{"key":"03C1","mappings":{"default":{"default":"rho"}},"category":"Ll"},{"key":"03C2","mappings":{"default":{"default":"sigma final"}},"category":"Ll"},{"key":"03C3","mappings":{"default":{"default":"sigma"}},"category":"Ll"},{"key":"03C4","mappings":{"default":{"default":"tau"}},"category":"Ll"},{"key":"03C5","mappings":{"default":{"default":"ípsilon"}},"category":"Ll"},{"key":"03C6","mappings":{"default":{"default":"phi"}},"category":"Ll"},{"key":"03C7","mappings":{"default":{"default":"ji"}},"category":"Ll"},{"key":"03C8","mappings":{"default":{"default":"psi"}},"category":"Ll"},{"key":"03C9","mappings":{"default":{"default":"omega"}},"category":"Ll"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/greek-symbols.js b/extensions/a11y/mathmaps/es/symbols/greek-symbols.js
deleted file mode 100644
index f8c9a2095e..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/greek-symbols.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"03D0","mappings":{"default":{"default":"símbolo beta"}},"category":"Ll"},{"key":"03D1","mappings":{"default":{"default":"variante de theta"}},"category":"Ll"},{"key":"03D5","mappings":{"default":{"default":"phi recta"}},"category":"Ll"},{"key":"03D6","mappings":{"default":{"default":"pi","defaultMP":"variante de pi"}},"category":"Ll"},{"key":"03D7","mappings":{"default":{"default":"símbolo kai griego"}},"category":"Ll"},{"key":"03F0","mappings":{"default":{"default":"kappa","defaultMP":"variante de kappa"}},"category":"Ll"},{"key":"03F1","mappings":{"default":{"default":"rho","defaultMP":"variante de rho"}},"category":"Ll"},{"key":"03F5","mappings":{"default":{"default":"épsilon","defaultMP":"variante de épsilon"}},"category":"Ll"},{"key":"03F6","mappings":{"default":{"default":"épsilon invertido"}},"category":"Sm"},{"key":"03F4","mappings":{"default":{"default":"mayúscula variante de Theta"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula variante de Theta"}},"key":"1D6B9"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula variante de Theta"}},"key":"1D6F3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula variante de Theta"}},"key":"1D767"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/hebrew_letters.js b/extensions/a11y/mathmaps/es/symbols/hebrew_letters.js
deleted file mode 100644
index 6961fb1e5f..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/hebrew_letters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"2135","mappings":{"default":{"default":"alef"}},"category":"Lo"},{"key":"2136","mappings":{"default":{"default":"bet"}},"category":"Lo"},{"key":"2137","mappings":{"default":{"default":"guímel"}},"category":"Lo"},{"key":"2138","mappings":{"default":{"default":"dálet"}},"category":"Lo"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-lower-double-accent.js b/extensions/a11y/mathmaps/es/symbols/latin-lower-double-accent.js
deleted file mode 100644
index 06f94ba14f..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-lower-double-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"1E09","mappings":{"default":{"default":"c con cedilla y agudo"}},"category":"Ll"},{"key":"1E15","mappings":{"default":{"default":"e con macrón y grave"}},"category":"Ll"},{"key":"1E17","mappings":{"default":{"default":"e con macrón y agudo"}},"category":"Ll"},{"key":"1E1D","mappings":{"default":{"default":"e con cedilla y breve"}},"category":"Ll"},{"key":"1E2F","mappings":{"default":{"default":"i con diéresis y agudo"}},"category":"Ll"},{"key":"1E39","mappings":{"default":{"default":"l con punto debajo y macrón"}},"category":"Ll"},{"key":"1E4D","mappings":{"default":{"default":"o con tilde y acute"}},"category":"Ll"},{"key":"1E4F","mappings":{"default":{"default":"o con tilde y diéresis"}},"category":"Ll"},{"key":"1E51","mappings":{"default":{"default":"o con macrón y grave"}},"category":"Ll"},{"key":"1E53","mappings":{"default":{"default":"o con macrón y agudo"}},"category":"Ll"},{"key":"1E5D","mappings":{"default":{"default":"r con punto debajo y macrón"}},"category":"Ll"},{"key":"1E65","mappings":{"default":{"default":"s con agudo y punto arriba"}},"category":"Ll"},{"key":"1E67","mappings":{"default":{"default":"s con carón y punto arriba"}},"category":"Ll"},{"key":"1E69","mappings":{"default":{"default":"s con punto debajo y punto arriba"}},"category":"Ll"},{"key":"1E79","mappings":{"default":{"default":"u con tilde y agudo"}},"category":"Ll"},{"key":"1E7B","mappings":{"default":{"default":"u con macrón y diéresis"}},"category":"Ll"},{"key":"1EA5","mappings":{"default":{"default":"a con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EA7","mappings":{"default":{"default":"a con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EA9","mappings":{"default":{"default":"a con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EAB","mappings":{"default":{"default":"a con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EAD","mappings":{"default":{"default":"a con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EAF","mappings":{"default":{"default":"a con breve y agudo"}},"category":"Ll"},{"key":"1EB1","mappings":{"default":{"default":"a con breve y grave"}},"category":"Ll"},{"key":"1EB3","mappings":{"default":{"default":"a con breve y gancho arriba"}},"category":"Ll"},{"key":"1EB5","mappings":{"default":{"default":"a con breve y tilde"}},"category":"Ll"},{"key":"1EB7","mappings":{"default":{"default":"a con breve y punto debajo"}},"category":"Ll"},{"key":"1EBF","mappings":{"default":{"default":"e con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EC1","mappings":{"default":{"default":"e con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EC3","mappings":{"default":{"default":"e con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EC5","mappings":{"default":{"default":"e con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EC7","mappings":{"default":{"default":"e con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1ED1","mappings":{"default":{"default":"o con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1ED3","mappings":{"default":{"default":"o con acento circunflejo y grave"}},"category":"Ll"},{"key":"1ED5","mappings":{"default":{"default":"o con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1ED7","mappings":{"default":{"default":"o con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1ED9","mappings":{"default":{"default":"o con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EDB","mappings":{"default":{"default":"o with horn and acute"}},"category":"Ll"},{"key":"1EDD","mappings":{"default":{"default":"o with horn and grave"}},"category":"Ll"},{"key":"1EDF","mappings":{"default":{"default":"o with horn and hook above"}},"category":"Ll"},{"key":"1EE1","mappings":{"default":{"default":"o with horn and tilde"}},"category":"Ll"},{"key":"1EE3","mappings":{"default":{"default":"o con cuerno y punto debajo"}},"category":"Ll"},{"key":"1EE9","mappings":{"default":{"default":"u con cuerno y agudo"}},"category":"Ll"},{"key":"1EEB","mappings":{"default":{"default":"u con cuerno y grave"}},"category":"Ll"},{"key":"1EED","mappings":{"default":{"default":"u con cuerno y gancho arriba"}},"category":"Ll"},{"key":"1EEF","mappings":{"default":{"default":"u con cuerno y tilde"}},"category":"Ll"},{"key":"1EF1","mappings":{"default":{"default":"u con cuerno y punto debajo"}},"category":"Ll"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-lower-normal.js b/extensions/a11y/mathmaps/es/symbols/latin-lower-normal.js
deleted file mode 100644
index e9d632e18b..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-lower-normal.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"0061","mappings":{"default":{"default":"a"}},"category":"Ll"},{"key":"0062","mappings":{"default":{"default":"b"}},"category":"Ll"},{"key":"0063","mappings":{"default":{"default":"c"}},"category":"Ll"},{"key":"0064","mappings":{"default":{"default":"d"}},"category":"Ll"},{"key":"0065","mappings":{"default":{"default":"e"}},"category":"Ll"},{"key":"0066","mappings":{"default":{"default":"f"}},"category":"Ll"},{"key":"0067","mappings":{"default":{"default":"g"}},"category":"Ll"},{"key":"0068","mappings":{"default":{"default":"h"}},"category":"Ll"},{"key":"0069","mappings":{"default":{"default":"i"}},"category":"Ll"},{"key":"006A","mappings":{"default":{"default":"j"}},"category":"Ll"},{"key":"006B","mappings":{"default":{"default":"k"}},"category":"Ll"},{"key":"006C","mappings":{"default":{"default":"l"}},"category":"Ll"},{"key":"006D","mappings":{"default":{"default":"m"}},"category":"Ll"},{"key":"006E","mappings":{"default":{"default":"n"}},"category":"Ll"},{"key":"006F","mappings":{"default":{"default":"o"}},"category":"Ll"},{"key":"0070","mappings":{"default":{"default":"p"}},"category":"Ll"},{"key":"0071","mappings":{"default":{"default":"q"}},"category":"Ll"},{"key":"0072","mappings":{"default":{"default":"r"}},"category":"Ll"},{"key":"0073","mappings":{"default":{"default":"s"}},"category":"Ll"},{"key":"0074","mappings":{"default":{"default":"t"}},"category":"Ll"},{"key":"0075","mappings":{"default":{"default":"u"}},"category":"Ll"},{"key":"0076","mappings":{"default":{"default":"v"}},"category":"Ll"},{"key":"0077","mappings":{"default":{"default":"w"}},"category":"Ll"},{"key":"0078","mappings":{"default":{"default":"x"}},"category":"Ll"},{"key":"0079","mappings":{"default":{"default":"y","defaultMP":"ye"}},"category":"Ll"},{"key":"007A","mappings":{"default":{"default":"z"}},"category":"Ll"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-lower-phonetic.js b/extensions/a11y/mathmaps/es/symbols/latin-lower-phonetic.js
deleted file mode 100644
index 0deaaf7da6..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-lower-phonetic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"00F8","mappings":{"default":{"default":"o barrada"}},"category":"Ll"},{"key":"0111","mappings":{"default":{"default":"d con barra"}},"category":"Ll"},{"key":"0127","mappings":{"default":{"default":"h con guión"}},"category":"Ll"},{"key":"0142","mappings":{"default":{"default":"l con guión"}},"category":"Ll"},{"key":"0167","mappings":{"default":{"default":"t con guión"}},"category":"Ll"},{"key":"019B","mappings":{"default":{"default":"lambda tachada"}},"category":"Ll"},{"key":"1E9B","mappings":{"default":{"default":"s larga con punto arriba"}},"category":"Ll"},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"key":"0192","mappings":{"default":{"default":"f con gancho"}},"category":"Ll"},{"key":"019A","mappings":{"default":{"default":"l con barra"}},"category":"Ll"},{"key":"025B","mappings":{"default":{"default":"e abierta"}},"category":"Ll"},{"key":"0149","mappings":{"default":{"default":"n precedida por apóstrofe"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-lower-single-accent.js b/extensions/a11y/mathmaps/es/symbols/latin-lower-single-accent.js
deleted file mode 100644
index 7d48b03677..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-lower-single-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"00E0","mappings":{"default":{"default":"a grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a aguda"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a acento circunflejo"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a con tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a diéresis"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a con anillo"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c cedilla"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e aguda"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e acento circunflejo"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e diéresis"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i aguda"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i acento circunflejo"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i diéresis"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"eñe"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o aguda"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o acento circunflejo"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o con tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o diéresis"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u aguda"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u acento circunflejo"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u diéresis"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"Y aguda","defaultMP":"ye aguda"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y diéresis","defaultMP":"ye diéresis"}},"category":"Ll"},{"key":"0101","mappings":{"default":{"default":"a barra"}},"category":"Ll"},{"key":"0103","mappings":{"default":{"default":"a con breve"}},"category":"Ll"},{"key":"0105","mappings":{"default":{"default":"a con ogonek"}},"category":"Ll"},{"key":"0107","mappings":{"default":{"default":"c con agudo"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c con acento circunflejo"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c con punto arriba"}},"category":"Ll"},{"key":"010D","mappings":{"default":{"default":"c con carón"}},"category":"Ll"},{"key":"010F","mappings":{"default":{"default":"d con carón"}},"category":"Ll"},{"key":"0113","mappings":{"default":{"default":"e barra"}},"category":"Ll"},{"key":"0117","mappings":{"default":{"default":"e con punto arriba"}},"category":"Ll"},{"key":"0119","mappings":{"default":{"default":"e con ogonek"}},"category":"Ll"},{"key":"011B","mappings":{"default":{"default":"e con carón"}},"category":"Ll"},{"key":"011D","mappings":{"default":{"default":"g con acento circunflejo"}},"category":"Ll"},{"key":"011F","mappings":{"default":{"default":"g con breve"}},"category":"Ll"},{"key":"0121","mappings":{"default":{"default":"g con punto arriba"}},"category":"Ll"},{"key":"0125","mappings":{"default":{"default":"h con acento circunflejo"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i con tilde"}},"category":"Ll"},{"key":"012B","mappings":{"default":{"default":"i barra"}},"category":"Ll"},{"key":"012F","mappings":{"default":{"default":"i con ogonek"}},"category":"Ll"},{"key":"0131","mappings":{"default":{"default":"i sin punto"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j con acento circunflejo"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k con cedilla"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l con agudo"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l con cedilla"}},"category":"Ll"},{"key":"013E","mappings":{"default":{"default":"l con carón"}},"category":"Ll"},{"key":"0140","mappings":{"default":{"default":"l con punto mediano"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n con agudo"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n con cedilla"}},"category":"Ll"},{"key":"0148","mappings":{"default":{"default":"n con carón"}},"category":"Ll"},{"key":"014D","mappings":{"default":{"default":"o barra"}},"category":"Ll"},{"key":"0151","mappings":{"default":{"default":"o con doble acento agudo"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r con agudo"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r con cedilla"}},"category":"Ll"},{"key":"0159","mappings":{"default":{"default":"r con carón"}},"category":"Ll"},{"key":"015B","mappings":{"default":{"default":"s con agudo"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s con acento circunflejo"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s con cedilla"}},"category":"Ll"},{"key":"0161","mappings":{"default":{"default":"s con carón"}},"category":"Ll"},{"key":"0163","mappings":{"default":{"default":"t con cedilla"}},"category":"Ll"},{"key":"0165","mappings":{"default":{"default":"t con carón"}},"category":"Ll"},{"key":"0169","mappings":{"default":{"default":"u con tilde"}},"category":"Ll"},{"key":"016B","mappings":{"default":{"default":"u barra"}},"category":"Ll"},{"key":"016D","mappings":{"default":{"default":"u con breve"}},"category":"Ll"},{"key":"016F","mappings":{"default":{"default":"u con anillo arriba"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u con doble acento agudo"}},"category":"Ll"},{"key":"0173","mappings":{"default":{"default":"u con ogonek"}},"category":"Ll"},{"key":"0175","mappings":{"default":{"default":"w con circunflejo"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y con circunflejo"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z con agudo"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z con punto"}},"category":"Ll"},{"key":"017E","mappings":{"default":{"default":"z con carón"}},"category":"Ll"},{"key":"01F5","mappings":{"default":{"default":"g con agudo"}},"category":"Ll"},{"key":"1E01","mappings":{"default":{"default":"a con anillo debajo"}},"category":"Ll"},{"key":"1E03","mappings":{"default":{"default":"b con punto arriba"}},"category":"Ll"},{"key":"1E05","mappings":{"default":{"default":"b con punto debajo"}},"category":"Ll"},{"key":"1E07","mappings":{"default":{"default":"b con línea debajo"}},"category":"Ll"},{"key":"1E0B","mappings":{"default":{"default":"d con punto arriba"}},"category":"Ll"},{"key":"1E0D","mappings":{"default":{"default":"d con punto debajo"}},"category":"Ll"},{"key":"1E0F","mappings":{"default":{"default":"d con línea debajo"}},"category":"Ll"},{"key":"1E11","mappings":{"default":{"default":"d con cedilla"}},"category":"Ll"},{"key":"1E13","mappings":{"default":{"default":"d con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E19","mappings":{"default":{"default":"e con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E1B","mappings":{"default":{"default":"e con tilde debajo"}},"category":"Ll"},{"key":"1E1F","mappings":{"default":{"default":"f con punto arriba"}},"category":"Ll"},{"key":"1E21","mappings":{"default":{"default":"g con macrón"}},"category":"Ll"},{"key":"1E23","mappings":{"default":{"default":"h con punto arriba"}},"category":"Ll"},{"key":"1E25","mappings":{"default":{"default":"h con punto debajo"}},"category":"Ll"},{"key":"1E27","mappings":{"default":{"default":"h con diéresis"}},"category":"Ll"},{"key":"1E29","mappings":{"default":{"default":"h con cedilla"}},"category":"Ll"},{"key":"1E2B","mappings":{"default":{"default":"h con breve debajo"}},"category":"Ll"},{"key":"1E2D","mappings":{"default":{"default":"i con tilde debajo"}},"category":"Ll"},{"key":"1E31","mappings":{"default":{"default":"k con agudo"}},"category":"Ll"},{"key":"1E33","mappings":{"default":{"default":"k con punto debajo"}},"category":"Ll"},{"key":"1E35","mappings":{"default":{"default":"k con línea debajo"}},"category":"Ll"},{"key":"1E37","mappings":{"default":{"default":"l con punto debajo"}},"category":"Ll"},{"key":"1E3B","mappings":{"default":{"default":"l con línea debajo"}},"category":"Ll"},{"key":"1E3D","mappings":{"default":{"default":"l con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E3F","mappings":{"default":{"default":"m con agudo"}},"category":"Ll"},{"key":"1E41","mappings":{"default":{"default":"m con punto arriba"}},"category":"Ll"},{"key":"1E43","mappings":{"default":{"default":"m con punto debajo"}},"category":"Ll"},{"key":"1E45","mappings":{"default":{"default":"n con punto arriba"}},"category":"Ll"},{"key":"1E47","mappings":{"default":{"default":"n con punto debajo"}},"category":"Ll"},{"key":"1E49","mappings":{"default":{"default":"n con línea debajo"}},"category":"Ll"},{"key":"1E4B","mappings":{"default":{"default":"n con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E55","mappings":{"default":{"default":"p con agudo"}},"category":"Ll"},{"key":"1E57","mappings":{"default":{"default":"p con punto arriba"}},"category":"Ll"},{"key":"1E59","mappings":{"default":{"default":"r con punto arriba"}},"category":"Ll"},{"key":"1E5B","mappings":{"default":{"default":"r con punto debajo"}},"category":"Ll"},{"key":"1E5F","mappings":{"default":{"default":"r con línea debajo"}},"category":"Ll"},{"key":"1E61","mappings":{"default":{"default":"s con punto arriba"}},"category":"Ll"},{"key":"1E63","mappings":{"default":{"default":"s con punto debajo"}},"category":"Ll"},{"key":"1E6B","mappings":{"default":{"default":"t con punto arriba"}},"category":"Ll"},{"key":"1E6D","mappings":{"default":{"default":"t con punto debajo"}},"category":"Ll"},{"key":"1E6F","mappings":{"default":{"default":"t con línea debajo"}},"category":"Ll"},{"key":"1E71","mappings":{"default":{"default":"t con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E73","mappings":{"default":{"default":"u con diéresis debajo"}},"category":"Ll"},{"key":"1E75","mappings":{"default":{"default":"u con tilde debajo"}},"category":"Ll"},{"key":"1E77","mappings":{"default":{"default":"u con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E7D","mappings":{"default":{"default":"v con tilde"}},"category":"Ll"},{"key":"1E7F","mappings":{"default":{"default":"v con punto debajo"}},"category":"Ll"},{"key":"1E81","mappings":{"default":{"default":"w con grave"}},"category":"Ll"},{"key":"1E83","mappings":{"default":{"default":"w con agudo"}},"category":"Ll"},{"key":"1E85","mappings":{"default":{"default":"w con diéresis"}},"category":"Ll"},{"key":"1E87","mappings":{"default":{"default":"w con punto arriba"}},"category":"Ll"},{"key":"1E89","mappings":{"default":{"default":"w con punto debajo"}},"category":"Ll"},{"key":"1E8B","mappings":{"default":{"default":"x con punto arriba"}},"category":"Ll"},{"key":"1E8D","mappings":{"default":{"default":"x con diéresis"}},"category":"Ll"},{"key":"1E8F","mappings":{"default":{"default":"y con punto arriba"}},"category":"Ll"},{"key":"1E91","mappings":{"default":{"default":"z con acento circunflejo"}},"category":"Ll"},{"key":"1E93","mappings":{"default":{"default":"z con punto debajo"}},"category":"Ll"},{"key":"1E95","mappings":{"default":{"default":"z con línea debajo"}},"category":"Ll"},{"key":"1E96","mappings":{"default":{"default":"h con línea debajo"}},"category":"Ll"},{"key":"1E97","mappings":{"default":{"default":"t con diéresis"}},"category":"Ll"},{"key":"1E98","mappings":{"default":{"default":"w con anillo arriba"}},"category":"Ll"},{"key":"1E99","mappings":{"default":{"default":"y con anillo arriba"}},"category":"Ll"},{"key":"1E9A","mappings":{"default":{"default":"a con medio derecho de anillo"}},"category":"Ll"},{"key":"1EA1","mappings":{"default":{"default":"a con punto debajo"}},"category":"Ll"},{"key":"1EA3","mappings":{"default":{"default":"a con gancho arriba"}},"category":"Ll"},{"key":"1EB9","mappings":{"default":{"default":"e con punto debajo"}},"category":"Ll"},{"key":"1EBB","mappings":{"default":{"default":"e con gancho arriba"}},"category":"Ll"},{"key":"1EBD","mappings":{"default":{"default":"e con tilde"}},"category":"Ll"},{"key":"1EC9","mappings":{"default":{"default":"i con gancho arriba"}},"category":"Ll"},{"key":"1ECB","mappings":{"default":{"default":"i con punto debajo"}},"category":"Ll"},{"key":"1ECD","mappings":{"default":{"default":"o con punto debajo"}},"category":"Ll"},{"key":"1ECF","mappings":{"default":{"default":"o con gancho arriba"}},"category":"Ll"},{"key":"1EE5","mappings":{"default":{"default":"u con punto debajo"}},"category":"Ll"},{"key":"1EE7","mappings":{"default":{"default":"u con gancho arriba"}},"category":"Ll"},{"key":"1EF3","mappings":{"default":{"default":"y con grave"}},"category":"Ll"},{"key":"1EF5","mappings":{"default":{"default":"y con punto debajo"}},"category":"Ll"},{"key":"1EF7","mappings":{"default":{"default":"y con gancho arriba"}},"category":"Ll"},{"key":"1EF9","mappings":{"default":{"default":"y con tilde"}},"category":"Ll"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold-fraktur.js b/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold-fraktur.js
deleted file mode 100644
index 918e9dfd1d..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold-fraktur.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula A"}},"key":"1D56C"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula B"}},"key":"1D56D"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula C"}},"key":"1D56E"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula D"}},"key":"1D56F"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula E"}},"key":"1D570"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula F"}},"key":"1D571"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula G"}},"key":"1D572"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula H"}},"key":"1D573"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula I"}},"key":"1D574"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula J"}},"key":"1D575"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula K"}},"key":"1D576"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula L"}},"key":"1D577"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula M"}},"key":"1D578"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula N"}},"key":"1D579"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula O"}},"key":"1D57A"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula P"}},"key":"1D57B"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula Q"}},"key":"1D57C"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula R"}},"key":"1D57D"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula S"}},"key":"1D57E"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula T"}},"key":"1D57F"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula U"}},"key":"1D580"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula V"}},"key":"1D581"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula W"}},"key":"1D582"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula X"}},"key":"1D583"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula Y"}},"key":"1D584"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula Z"}},"key":"1D585"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur a"}},"key":"1D586"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur b"}},"key":"1D587"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur c"}},"key":"1D588"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur d"}},"key":"1D589"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur e"}},"key":"1D58A"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur f"}},"key":"1D58B"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur g"}},"key":"1D58C"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur h"}},"key":"1D58D"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur i"}},"key":"1D58E"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur j"}},"key":"1D58F"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur k"}},"key":"1D590"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur l"}},"key":"1D591"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur m"}},"key":"1D592"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur n"}},"key":"1D593"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur o"}},"key":"1D594"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur p"}},"key":"1D595"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur q"}},"key":"1D596"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur r"}},"key":"1D597"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur s"}},"key":"1D598"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur t"}},"key":"1D599"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur u"}},"key":"1D59A"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur v"}},"key":"1D59B"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur w"}},"key":"1D59C"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur x"}},"key":"1D59D"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur y"}},"key":"1D59E"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur z"}},"key":"1D59F"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold-script.js b/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold-script.js
deleted file mode 100644
index f3d18cfc8c..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold-script.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula A"}},"key":"1D4D0"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula B"}},"key":"1D4D1"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula C"}},"key":"1D4D2"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula D"}},"key":"1D4D3"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula E"}},"key":"1D4D4"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula F"}},"key":"1D4D5"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula G"}},"key":"1D4D6"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula H"}},"key":"1D4D7"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula I"}},"key":"1D4D8"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula J"}},"key":"1D4D9"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula K"}},"key":"1D4DA"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula L"}},"key":"1D4DB"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula M"}},"key":"1D4DC"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula N"}},"key":"1D4DD"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula O"}},"key":"1D4DE"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula P"}},"key":"1D4DF"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula Q"}},"key":"1D4E0"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula R"}},"key":"1D4E1"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula S"}},"key":"1D4E2"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula T"}},"key":"1D4E3"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula U"}},"key":"1D4E4"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula V"}},"key":"1D4E5"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula W"}},"key":"1D4E6"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula X"}},"key":"1D4E7"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula Y"}},"key":"1D4E8"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula Z"}},"key":"1D4E9"},{"category":"Ll","mappings":{"default":{"default":"negrita script a"}},"key":"1D4EA"},{"category":"Ll","mappings":{"default":{"default":"negrita script b"}},"key":"1D4EB"},{"category":"Ll","mappings":{"default":{"default":"negrita script c"}},"key":"1D4EC"},{"category":"Ll","mappings":{"default":{"default":"negrita script d"}},"key":"1D4ED"},{"category":"Ll","mappings":{"default":{"default":"negrita script e"}},"key":"1D4EE"},{"category":"Ll","mappings":{"default":{"default":"negrita script f"}},"key":"1D4EF"},{"category":"Ll","mappings":{"default":{"default":"negrita script g"}},"key":"1D4F0"},{"category":"Ll","mappings":{"default":{"default":"negrita script h"}},"key":"1D4F1"},{"category":"Ll","mappings":{"default":{"default":"negrita script i"}},"key":"1D4F2"},{"category":"Ll","mappings":{"default":{"default":"negrita script j"}},"key":"1D4F3"},{"category":"Ll","mappings":{"default":{"default":"negrita script k"}},"key":"1D4F4"},{"category":"Ll","mappings":{"default":{"default":"negrita script l"}},"key":"1D4F5"},{"category":"Ll","mappings":{"default":{"default":"negrita script m"}},"key":"1D4F6"},{"category":"Ll","mappings":{"default":{"default":"negrita script n"}},"key":"1D4F7"},{"category":"Ll","mappings":{"default":{"default":"negrita script o"}},"key":"1D4F8"},{"category":"Ll","mappings":{"default":{"default":"negrita script p"}},"key":"1D4F9"},{"category":"Ll","mappings":{"default":{"default":"negrita script q"}},"key":"1D4FA"},{"category":"Ll","mappings":{"default":{"default":"negrita script r"}},"key":"1D4FB"},{"category":"Ll","mappings":{"default":{"default":"negrita script s"}},"key":"1D4FC"},{"category":"Ll","mappings":{"default":{"default":"negrita script t"}},"key":"1D4FD"},{"category":"Ll","mappings":{"default":{"default":"negrita script u"}},"key":"1D4FE"},{"category":"Ll","mappings":{"default":{"default":"negrita script v"}},"key":"1D4FF"},{"category":"Ll","mappings":{"default":{"default":"negrita script w"}},"key":"1D500"},{"category":"Ll","mappings":{"default":{"default":"negrita script x"}},"key":"1D501"},{"category":"Ll","mappings":{"default":{"default":"negrita script y"}},"key":"1D502"},{"category":"Ll","mappings":{"default":{"default":"negrita script z"}},"key":"1D503"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold.js b/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold.js
deleted file mode 100644
index a3a3da38f8..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula A"}},"key":"1D400"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula B"}},"key":"1D401"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula C"}},"key":"1D402"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula D"}},"key":"1D403"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula E"}},"key":"1D404"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula F"}},"key":"1D405"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula G"}},"key":"1D406"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula H"}},"key":"1D407"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula I"}},"key":"1D408"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula J"}},"key":"1D409"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula K"}},"key":"1D40A"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula L"}},"key":"1D40B"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula M"}},"key":"1D40C"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula N"}},"key":"1D40D"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula O"}},"key":"1D40E"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula P"}},"key":"1D40F"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Q"}},"key":"1D410"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula R"}},"key":"1D411"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula S"}},"key":"1D412"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula T"}},"key":"1D413"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula U"}},"key":"1D414"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula V"}},"key":"1D415"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula W"}},"key":"1D416"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula X"}},"key":"1D417"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Y"}},"key":"1D418"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Z"}},"key":"1D419"},{"category":"Ll","mappings":{"default":{"default":"negrita a"}},"key":"1D41A"},{"category":"Ll","mappings":{"default":{"default":"negrita b"}},"key":"1D41B"},{"category":"Ll","mappings":{"default":{"default":"negrita c"}},"key":"1D41C"},{"category":"Ll","mappings":{"default":{"default":"negrita d"}},"key":"1D41D"},{"category":"Ll","mappings":{"default":{"default":"negrita e"}},"key":"1D41E"},{"category":"Ll","mappings":{"default":{"default":"negrita f"}},"key":"1D41F"},{"category":"Ll","mappings":{"default":{"default":"negrita g"}},"key":"1D420"},{"category":"Ll","mappings":{"default":{"default":"negrita h"}},"key":"1D421"},{"category":"Ll","mappings":{"default":{"default":"negrita i"}},"key":"1D422"},{"category":"Ll","mappings":{"default":{"default":"negrita j"}},"key":"1D423"},{"category":"Ll","mappings":{"default":{"default":"negrita k"}},"key":"1D424"},{"category":"Ll","mappings":{"default":{"default":"negrita l"}},"key":"1D425"},{"category":"Ll","mappings":{"default":{"default":"negrita m"}},"key":"1D426"},{"category":"Ll","mappings":{"default":{"default":"negrita n"}},"key":"1D427"},{"category":"Ll","mappings":{"default":{"default":"negrita o"}},"key":"1D428"},{"category":"Ll","mappings":{"default":{"default":"negrita p"}},"key":"1D429"},{"category":"Ll","mappings":{"default":{"default":"negrita q"}},"key":"1D42A"},{"category":"Ll","mappings":{"default":{"default":"negrita r"}},"key":"1D42B"},{"category":"Ll","mappings":{"default":{"default":"negrita s"}},"key":"1D42C"},{"category":"Ll","mappings":{"default":{"default":"negrita t"}},"key":"1D42D"},{"category":"Ll","mappings":{"default":{"default":"negrita u"}},"key":"1D42E"},{"category":"Ll","mappings":{"default":{"default":"negrita v"}},"key":"1D42F"},{"category":"Ll","mappings":{"default":{"default":"negrita w"}},"key":"1D430"},{"category":"Ll","mappings":{"default":{"default":"negrita x"}},"key":"1D431"},{"category":"Ll","mappings":{"default":{"default":"negrita y"}},"key":"1D432"},{"category":"Ll","mappings":{"default":{"default":"negrita z"}},"key":"1D433"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-double-struck.js b/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-double-struck.js
deleted file mode 100644
index 74f9e090d6..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-double-struck.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula A"}},"key":"1D538"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula B"}},"key":"1D539"},{"key":"2102","mappings":{"default":{"default":"negrita de pizarra mayúscula C"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula D"}},"key":"1D53B"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula E"}},"key":"1D53C"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula F"}},"key":"1D53D"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula G"}},"key":"1D53E"},{"key":"210D","mappings":{"default":{"default":"negrita de pizarra mayúscula H"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula I"}},"key":"1D540"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula J"}},"key":"1D541"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula K"}},"key":"1D542"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula L"}},"key":"1D543"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula M"}},"key":"1D544"},{"key":"2115","mappings":{"default":{"default":"negrita de pizarra mayúscula N"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula O"}},"key":"1D546"},{"key":"2119","mappings":{"default":{"default":"negrita de pizarra mayúscula P"}},"category":"Lu"},{"key":"211A","mappings":{"default":{"default":"negrita de pizarra mayúscula Q"}},"category":"Lu"},{"key":"211D","mappings":{"default":{"default":"negrita de pizarra mayúscula R","defaultMP":"R mayúscula negrita"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula S"}},"key":"1D54A"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula T"}},"key":"1D54B"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula U"}},"key":"1D54C"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula V"}},"key":"1D54D"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula W"}},"key":"1D54E"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula X"}},"key":"1D54F"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula Y"}},"key":"1D550"},{"key":"2124","mappings":{"default":{"default":"negrita de pizarra mayúscula Z"}},"category":"Lu"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra a"}},"key":"1D552"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra b"}},"key":"1D553"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra c"}},"key":"1D554"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra d"}},"key":"1D555"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra e"}},"key":"1D556"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra f"}},"key":"1D557"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra g"}},"key":"1D558"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra h"}},"key":"1D559"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra i"}},"key":"1D55A"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra j"}},"key":"1D55B"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra k"}},"key":"1D55C"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra l"}},"key":"1D55D"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra m"}},"key":"1D55E"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra n"}},"key":"1D55F"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra o"}},"key":"1D560"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra p"}},"key":"1D561"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra q"}},"key":"1D562"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra r"}},"key":"1D563"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra s"}},"key":"1D564"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra t"}},"key":"1D565"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra u"}},"key":"1D566"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra v"}},"key":"1D567"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra w"}},"key":"1D568"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra x"}},"key":"1D569"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra y"}},"key":"1D56A"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra z"}},"key":"1D56B"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-fraktur.js b/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-fraktur.js
deleted file mode 100644
index a1d821e74c..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-fraktur.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula A"}},"key":"1D504"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula B"}},"key":"1D505"},{"key":"212D","mappings":{"default":{"default":"Fraktur mayúscula C"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula D"}},"key":"1D507"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula E"}},"key":"1D508"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula F"}},"key":"1D509"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula G"}},"key":"1D50A"},{"key":"210C","mappings":{"default":{"default":"Fraktur mayúscula H"}},"category":"Lu"},{"key":"2111","mappings":{"default":{"default":"Fraktur mayúscula I"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula J"}},"key":"1D50D"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula K"}},"key":"1D50E"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula L"}},"key":"1D50F"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula M"}},"key":"1D510"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula N"}},"key":"1D511"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula O"}},"key":"1D512"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula P"}},"key":"1D513"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula Q"}},"key":"1D514"},{"key":"211C","mappings":{"default":{"default":"Fraktur mayúscula R"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula S"}},"key":"1D516"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula T"}},"key":"1D517"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula U"}},"key":"1D518"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula V"}},"key":"1D519"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula W"}},"key":"1D51A"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula X"}},"key":"1D51B"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula Y"}},"key":"1D51C"},{"key":"2128","mappings":{"default":{"default":"Fraktur mayúscula Z"}},"category":"Lu"},{"category":"Ll","mappings":{"default":{"default":"Fraktur a"}},"key":"1D51E"},{"category":"Ll","mappings":{"default":{"default":"Fraktur b"}},"key":"1D51F"},{"category":"Ll","mappings":{"default":{"default":"Fraktur c"}},"key":"1D520"},{"category":"Ll","mappings":{"default":{"default":"Fraktur d"}},"key":"1D521"},{"category":"Ll","mappings":{"default":{"default":"Fraktur e"}},"key":"1D522"},{"category":"Ll","mappings":{"default":{"default":"Fraktur f"}},"key":"1D523"},{"category":"Ll","mappings":{"default":{"default":"Fraktur g"}},"key":"1D524"},{"category":"Ll","mappings":{"default":{"default":"Fraktur h"}},"key":"1D525"},{"category":"Ll","mappings":{"default":{"default":"Fraktur i"}},"key":"1D526"},{"category":"Ll","mappings":{"default":{"default":"Fraktur j"}},"key":"1D527"},{"category":"Ll","mappings":{"default":{"default":"Fraktur k"}},"key":"1D528"},{"category":"Ll","mappings":{"default":{"default":"Fraktur l"}},"key":"1D529"},{"category":"Ll","mappings":{"default":{"default":"Fraktur m"}},"key":"1D52A"},{"category":"Ll","mappings":{"default":{"default":"Fraktur n"}},"key":"1D52B"},{"category":"Ll","mappings":{"default":{"default":"Fraktur o"}},"key":"1D52C"},{"category":"Ll","mappings":{"default":{"default":"Fraktur p"}},"key":"1D52D"},{"category":"Ll","mappings":{"default":{"default":"Fraktur q"}},"key":"1D52E"},{"category":"Ll","mappings":{"default":{"default":"Fraktur r"}},"key":"1D52F"},{"category":"Ll","mappings":{"default":{"default":"Fraktur s"}},"key":"1D530"},{"category":"Ll","mappings":{"default":{"default":"Fraktur t"}},"key":"1D531"},{"category":"Ll","mappings":{"default":{"default":"Fraktur u"}},"key":"1D532"},{"category":"Ll","mappings":{"default":{"default":"Fraktur v"}},"key":"1D533"},{"category":"Ll","mappings":{"default":{"default":"Fraktur w"}},"key":"1D534"},{"category":"Ll","mappings":{"default":{"default":"Fraktur x"}},"key":"1D535"},{"category":"Ll","mappings":{"default":{"default":"Fraktur y"}},"key":"1D536"},{"category":"Ll","mappings":{"default":{"default":"Fraktur z"}},"key":"1D537"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-italic.js b/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-italic.js
deleted file mode 100644
index a483114fdd..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-italic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula A"}},"key":"1D434"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula B"}},"key":"1D435"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula C"}},"key":"1D436"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula D"}},"key":"1D437"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula E"}},"key":"1D438"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula F"}},"key":"1D439"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula G"}},"key":"1D43A"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula H"}},"key":"1D43B"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula I"}},"key":"1D43C"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula J"}},"key":"1D43D"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula K"}},"key":"1D43E"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula L"}},"key":"1D43F"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula M"}},"key":"1D440"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula N"}},"key":"1D441"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula O"}},"key":"1D442"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula P"}},"key":"1D443"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Q"}},"key":"1D444"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula R"}},"key":"1D445"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula S"}},"key":"1D446"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula T"}},"key":"1D447"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula U"}},"key":"1D448"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula V"}},"key":"1D449"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula W"}},"key":"1D44A"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula X"}},"key":"1D44B"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Y"}},"key":"1D44C"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Z"}},"key":"1D44D"},{"category":"Ll","mappings":{"default":{"default":"cursiva a"}},"key":"1D44E"},{"category":"Ll","mappings":{"default":{"default":"cursiva b"}},"key":"1D44F"},{"category":"Ll","mappings":{"default":{"default":"cursiva c"}},"key":"1D450"},{"category":"Ll","mappings":{"default":{"default":"cursiva d"}},"key":"1D451"},{"category":"Ll","mappings":{"default":{"default":"cursiva e"}},"key":"1D452"},{"category":"Ll","mappings":{"default":{"default":"cursiva f"}},"key":"1D453"},{"category":"Ll","mappings":{"default":{"default":"cursiva g"}},"key":"1D454"},{"key":"210E","mappings":{"default":{"default":"constante de Planck"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"cursiva i"}},"key":"1D456"},{"category":"Ll","mappings":{"default":{"default":"cursiva j"}},"key":"1D457"},{"category":"Ll","mappings":{"default":{"default":"cursiva k"}},"key":"1D458"},{"category":"Ll","mappings":{"default":{"default":"cursiva l"}},"key":"1D459"},{"category":"Ll","mappings":{"default":{"default":"cursiva m"}},"key":"1D45A"},{"category":"Ll","mappings":{"default":{"default":"cursiva n"}},"key":"1D45B"},{"category":"Ll","mappings":{"default":{"default":"cursiva o"}},"key":"1D45C"},{"category":"Ll","mappings":{"default":{"default":"cursiva p"}},"key":"1D45D"},{"category":"Ll","mappings":{"default":{"default":"cursiva q"}},"key":"1D45E"},{"category":"Ll","mappings":{"default":{"default":"cursiva r"}},"key":"1D45F"},{"category":"Ll","mappings":{"default":{"default":"cursiva s"}},"key":"1D460"},{"category":"Ll","mappings":{"default":{"default":"cursiva t"}},"key":"1D461"},{"category":"Ll","mappings":{"default":{"default":"cursiva u"}},"key":"1D462"},{"category":"Ll","mappings":{"default":{"default":"cursiva v"}},"key":"1D463"},{"category":"Ll","mappings":{"default":{"default":"cursiva w"}},"key":"1D464"},{"category":"Ll","mappings":{"default":{"default":"cursiva x"}},"key":"1D465"},{"category":"Ll","mappings":{"default":{"default":"cursiva y"}},"key":"1D466"},{"category":"Ll","mappings":{"default":{"default":"cursiva z"}},"key":"1D467"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-monospace.js b/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-monospace.js
deleted file mode 100644
index c0c63a0dbf..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-monospace.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula A"}},"key":"1D670"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula B"}},"key":"1D671"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula C"}},"key":"1D672"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula D"}},"key":"1D673"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula E"}},"key":"1D674"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula F"}},"key":"1D675"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula G"}},"key":"1D676"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula H"}},"key":"1D677"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula I"}},"key":"1D678"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula J"}},"key":"1D679"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula K"}},"key":"1D67A"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula L"}},"key":"1D67B"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula M"}},"key":"1D67C"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula N"}},"key":"1D67D"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula O"}},"key":"1D67E"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula P"}},"key":"1D67F"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula Q"}},"key":"1D680"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula R"}},"key":"1D681"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula S"}},"key":"1D682"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula T"}},"key":"1D683"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula U"}},"key":"1D684"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula V"}},"key":"1D685"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula W"}},"key":"1D686"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula X"}},"key":"1D687"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula Y"}},"key":"1D688"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula Z"}},"key":"1D689"},{"category":"Ll","mappings":{"default":{"default":"monoespacio a"}},"key":"1D68A"},{"category":"Ll","mappings":{"default":{"default":"monoespacio b"}},"key":"1D68B"},{"category":"Ll","mappings":{"default":{"default":"monoespacio c"}},"key":"1D68C"},{"category":"Ll","mappings":{"default":{"default":"monoespacio d"}},"key":"1D68D"},{"category":"Ll","mappings":{"default":{"default":"monoespacio e"}},"key":"1D68E"},{"category":"Ll","mappings":{"default":{"default":"monoespacio f"}},"key":"1D68F"},{"category":"Ll","mappings":{"default":{"default":"monoespacio g"}},"key":"1D690"},{"category":"Ll","mappings":{"default":{"default":"monoespacio h"}},"key":"1D691"},{"category":"Ll","mappings":{"default":{"default":"monoespacio i"}},"key":"1D692"},{"category":"Ll","mappings":{"default":{"default":"monoespacio j"}},"key":"1D693"},{"category":"Ll","mappings":{"default":{"default":"monoespacio k"}},"key":"1D694"},{"category":"Ll","mappings":{"default":{"default":"monoespacio l"}},"key":"1D695"},{"category":"Ll","mappings":{"default":{"default":"monoespacio m"}},"key":"1D696"},{"category":"Ll","mappings":{"default":{"default":"monoespacio n"}},"key":"1D697"},{"category":"Ll","mappings":{"default":{"default":"monoespacio o"}},"key":"1D698"},{"category":"Ll","mappings":{"default":{"default":"monoespacio p"}},"key":"1D699"},{"category":"Ll","mappings":{"default":{"default":"monoespacio q"}},"key":"1D69A"},{"category":"Ll","mappings":{"default":{"default":"monoespacio r"}},"key":"1D69B"},{"category":"Ll","mappings":{"default":{"default":"monoespacio s"}},"key":"1D69C"},{"category":"Ll","mappings":{"default":{"default":"monoespacio t"}},"key":"1D69D"},{"category":"Ll","mappings":{"default":{"default":"monoespacio u"}},"key":"1D69E"},{"category":"Ll","mappings":{"default":{"default":"monoespacio v"}},"key":"1D69F"},{"category":"Ll","mappings":{"default":{"default":"monoespacio w"}},"key":"1D6A0"},{"category":"Ll","mappings":{"default":{"default":"monoespacio x"}},"key":"1D6A1"},{"category":"Ll","mappings":{"default":{"default":"monoespacio y"}},"key":"1D6A2"},{"category":"Ll","mappings":{"default":{"default":"monoespacio z"}},"key":"1D6A3"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif-bold.js b/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif-bold.js
deleted file mode 100644
index 63dfc12ae6..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula A"}},"key":"1D5D4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula B"}},"key":"1D5D5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula C"}},"key":"1D5D6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula D"}},"key":"1D5D7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula E"}},"key":"1D5D8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula F"}},"key":"1D5D9"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula G"}},"key":"1D5DA"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula H"}},"key":"1D5DB"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula I"}},"key":"1D5DC"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula J"}},"key":"1D5DD"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula K"}},"key":"1D5DE"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula L"}},"key":"1D5DF"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula M"}},"key":"1D5E0"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula N"}},"key":"1D5E1"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula O"}},"key":"1D5E2"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula P"}},"key":"1D5E3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Q"}},"key":"1D5E4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula R"}},"key":"1D5E5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula S"}},"key":"1D5E6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula T"}},"key":"1D5E7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula U"}},"key":"1D5E8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula V"}},"key":"1D5E9"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula W"}},"key":"1D5EA"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula X"}},"key":"1D5EB"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Y"}},"key":"1D5EC"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Z"}},"key":"1D5ED"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita a"}},"key":"1D5EE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita b"}},"key":"1D5EF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita c"}},"key":"1D5F0"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita d"}},"key":"1D5F1"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita e"}},"key":"1D5F2"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita f"}},"key":"1D5F3"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita g"}},"key":"1D5F4"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita h"}},"key":"1D5F5"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita i"}},"key":"1D5F6"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita j"}},"key":"1D5F7"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita k"}},"key":"1D5F8"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita l"}},"key":"1D5F9"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita m"}},"key":"1D5FA"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita n"}},"key":"1D5FB"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita o"}},"key":"1D5FC"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita p"}},"key":"1D5FD"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita q"}},"key":"1D5FE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita r"}},"key":"1D5FF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita s"}},"key":"1D600"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita t"}},"key":"1D601"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita u"}},"key":"1D602"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita v"}},"key":"1D603"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita w"}},"key":"1D604"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita x"}},"key":"1D605"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita y"}},"key":"1D606"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita z"}},"key":"1D607"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif-italic.js b/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif-italic.js
deleted file mode 100644
index 3177f27cde..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif-italic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula A"}},"key":"1D608"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula B"}},"key":"1D609"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula C"}},"key":"1D60A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula D"}},"key":"1D60B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula E"}},"key":"1D60C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula F"}},"key":"1D60D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula G"}},"key":"1D60E"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula H"}},"key":"1D60F"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula I"}},"key":"1D610"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula J"}},"key":"1D611"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula K"}},"key":"1D612"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula L"}},"key":"1D613"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula M"}},"key":"1D614"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula N"}},"key":"1D615"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula O"}},"key":"1D616"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula P"}},"key":"1D617"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula Q"}},"key":"1D618"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula R"}},"key":"1D619"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula S"}},"key":"1D61A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula T"}},"key":"1D61B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula U"}},"key":"1D61C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula V"}},"key":"1D61D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula W"}},"key":"1D61E"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula X"}},"key":"1D61F"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula Y"}},"key":"1D620"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula Z"}},"key":"1D621"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva a"}},"key":"1D622"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva b"}},"key":"1D623"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva c"}},"key":"1D624"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva d"}},"key":"1D625"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva e"}},"key":"1D626"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva f"}},"key":"1D627"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva g"}},"key":"1D628"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva h"}},"key":"1D629"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva i"}},"key":"1D62A"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva j"}},"key":"1D62B"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva k"}},"key":"1D62C"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva l"}},"key":"1D62D"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva m"}},"key":"1D62E"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva n"}},"key":"1D62F"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva o"}},"key":"1D630"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva p"}},"key":"1D631"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva q"}},"key":"1D632"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva r"}},"key":"1D633"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva s"}},"key":"1D634"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva t"}},"key":"1D635"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva u"}},"key":"1D636"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva v"}},"key":"1D637"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva w"}},"key":"1D638"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva x"}},"key":"1D639"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva y"}},"key":"1D63A"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva z"}},"key":"1D63B"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif.js b/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif.js
deleted file mode 100644
index cf133edd43..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula A"}},"key":"1D5A0"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula B"}},"key":"1D5A1"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula C"}},"key":"1D5A2"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula D"}},"key":"1D5A3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula E"}},"key":"1D5A4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula F"}},"key":"1D5A5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula G"}},"key":"1D5A6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula H"}},"key":"1D5A7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula I"}},"key":"1D5A8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula J"}},"key":"1D5A9"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula K"}},"key":"1D5AA"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula L"}},"key":"1D5AB"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula M"}},"key":"1D5AC"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula N"}},"key":"1D5AD"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula O"}},"key":"1D5AE"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula P"}},"key":"1D5AF"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula Q"}},"key":"1D5B0"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula R"}},"key":"1D5B1"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula S"}},"key":"1D5B2"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula T"}},"key":"1D5B3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula U"}},"key":"1D5B4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula V"}},"key":"1D5B5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula W"}},"key":"1D5B6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula X"}},"key":"1D5B7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula Y"}},"key":"1D5B8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula Z"}},"key":"1D5B9"},{"category":"Ll","mappings":{"default":{"default":"sans-serif a"}},"key":"1D5BA"},{"category":"Ll","mappings":{"default":{"default":"sans-serif b"}},"key":"1D5BB"},{"category":"Ll","mappings":{"default":{"default":"sans-serif c"}},"key":"1D5BC"},{"category":"Ll","mappings":{"default":{"default":"sans-serif d"}},"key":"1D5BD"},{"category":"Ll","mappings":{"default":{"default":"sans-serif e"}},"key":"1D5BE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif f"}},"key":"1D5BF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif g"}},"key":"1D5C0"},{"category":"Ll","mappings":{"default":{"default":"sans-serif h"}},"key":"1D5C1"},{"category":"Ll","mappings":{"default":{"default":"sans-serif i"}},"key":"1D5C2"},{"category":"Ll","mappings":{"default":{"default":"sans-serif j"}},"key":"1D5C3"},{"category":"Ll","mappings":{"default":{"default":"sans-serif k"}},"key":"1D5C4"},{"category":"Ll","mappings":{"default":{"default":"sans-serif l"}},"key":"1D5C5"},{"category":"Ll","mappings":{"default":{"default":"sans-serif m"}},"key":"1D5C6"},{"category":"Ll","mappings":{"default":{"default":"sans-serif n"}},"key":"1D5C7"},{"category":"Ll","mappings":{"default":{"default":"sans-serif o"}},"key":"1D5C8"},{"category":"Ll","mappings":{"default":{"default":"sans-serif p"}},"key":"1D5C9"},{"category":"Ll","mappings":{"default":{"default":"sans-serif q"}},"key":"1D5CA"},{"category":"Ll","mappings":{"default":{"default":"sans-serif r"}},"key":"1D5CB"},{"category":"Ll","mappings":{"default":{"default":"sans-serif s"}},"key":"1D5CC"},{"category":"Ll","mappings":{"default":{"default":"sans-serif t"}},"key":"1D5CD"},{"category":"Ll","mappings":{"default":{"default":"sans-serif u"}},"key":"1D5CE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif v"}},"key":"1D5CF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif w"}},"key":"1D5D0"},{"category":"Ll","mappings":{"default":{"default":"sans-serif x"}},"key":"1D5D1"},{"category":"Ll","mappings":{"default":{"default":"sans-serif y"}},"key":"1D5D2"},{"category":"Ll","mappings":{"default":{"default":"sans-serif z"}},"key":"1D5D3"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-script.js b/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-script.js
deleted file mode 100644
index 8a40a97dab..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-script.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula A"}},"key":"1D49C"},{"key":"212C","mappings":{"default":{"default":"script mayúscula B"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula C"}},"key":"1D49E"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula D"}},"key":"1D49F"},{"key":"2130","mappings":{"default":{"default":"script mayúscula E"}},"category":"Lu"},{"key":"2131","mappings":{"default":{"default":"script mayúscula F"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula G"}},"key":"1D4A2"},{"key":"210B","mappings":{"default":{"default":"script mayúscula H"}},"category":"Lu"},{"key":"2110","mappings":{"default":{"default":"script mayúscula I"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula J"}},"key":"1D4A5"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula K"}},"key":"1D4A6"},{"key":"2112","mappings":{"default":{"default":"script mayúscula L"}},"category":"Lu"},{"key":"2133","mappings":{"default":{"default":"script mayúscula M"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula N"}},"key":"1D4A9"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula O"}},"key":"1D4AA"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula P"}},"key":"1D4AB"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula Q"}},"key":"1D4AC"},{"key":"211B","mappings":{"default":{"default":"script mayúscula R"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula S"}},"key":"1D4AE"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula T"}},"key":"1D4AF"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula U"}},"key":"1D4B0"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula V"}},"key":"1D4B1"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula W"}},"key":"1D4B2"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula X"}},"key":"1D4B3"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula Y"}},"key":"1D4B4"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula Z"}},"key":"1D4B5"},{"category":"Ll","mappings":{"default":{"default":"script a"}},"key":"1D4B6"},{"category":"Ll","mappings":{"default":{"default":"script b"}},"key":"1D4B7"},{"category":"Ll","mappings":{"default":{"default":"script c"}},"key":"1D4B8"},{"category":"Ll","mappings":{"default":{"default":"script d"}},"key":"1D4B9"},{"key":"212F","mappings":{"default":{"default":"script e"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"script f"}},"key":"1D4BB"},{"key":"210A","mappings":{"default":{"default":"script g"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"script h"}},"key":"1D4BD"},{"category":"Ll","mappings":{"default":{"default":"script i"}},"key":"1D4BE"},{"category":"Ll","mappings":{"default":{"default":"script j"}},"key":"1D4BF"},{"category":"Ll","mappings":{"default":{"default":"script k"}},"key":"1D4C0"},{"category":"Ll","mappings":{"default":{"default":"script l"}},"key":"1D4C1"},{"category":"Ll","mappings":{"default":{"default":"script m"}},"key":"1D4C2"},{"category":"Ll","mappings":{"default":{"default":"script n"}},"key":"1D4C3"},{"key":"2134","mappings":{"default":{"default":"script o"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"script p"}},"key":"1D4C5"},{"category":"Ll","mappings":{"default":{"default":"script q"}},"key":"1D4C6"},{"category":"Ll","mappings":{"default":{"default":"script r"}},"key":"1D4C7"},{"category":"Ll","mappings":{"default":{"default":"script s"}},"key":"1D4C8"},{"category":"Ll","mappings":{"default":{"default":"script t"}},"key":"1D4C9"},{"category":"Ll","mappings":{"default":{"default":"script u"}},"key":"1D4CA"},{"category":"Ll","mappings":{"default":{"default":"script v"}},"key":"1D4CB"},{"category":"Ll","mappings":{"default":{"default":"script w"}},"key":"1D4CC"},{"category":"Ll","mappings":{"default":{"default":"script x"}},"key":"1D4CD"},{"category":"Ll","mappings":{"default":{"default":"script y"}},"key":"1D4CE"},{"category":"Ll","mappings":{"default":{"default":"script z"}},"key":"1D4CF"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-rest.js b/extensions/a11y/mathmaps/es/symbols/latin-rest.js
deleted file mode 100644
index e740a8010f..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-rest.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"24C8","mappings":{"default":{"default":"S en círculo"}},"category":"So"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-upper-double-accent.js b/extensions/a11y/mathmaps/es/symbols/latin-upper-double-accent.js
deleted file mode 100644
index 1092644d86..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-upper-double-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"1E08","mappings":{"default":{"default":"mayúscula C con cedilla y agudo"}},"category":"Lu"},{"key":"1E14","mappings":{"default":{"default":"mayúscula E con macrón y grave"}},"category":"Lu"},{"key":"1E16","mappings":{"default":{"default":"mayúscula E con macrón y agudo"}},"category":"Lu"},{"key":"1E1C","mappings":{"default":{"default":"mayúscula E with cedilla and breve"}},"category":"Lu"},{"key":"1E2E","mappings":{"default":{"default":"mayúscula I con diéresis y agudo"}},"category":"Lu"},{"key":"1E38","mappings":{"default":{"default":"mayúscula L con punto debajo y macrón"}},"category":"Lu"},{"key":"1E4C","mappings":{"default":{"default":"mayúscula O con tilde y acute"}},"category":"Lu"},{"key":"1E4E","mappings":{"default":{"default":"mayúscula O con tilde y diéresis"}},"category":"Lu"},{"key":"1E50","mappings":{"default":{"default":"mayúscula O con macrón y grave"}},"category":"Lu"},{"key":"1E52","mappings":{"default":{"default":"mayúscula O con macrón y agudo"}},"category":"Lu"},{"key":"1E5C","mappings":{"default":{"default":"mayúscula R con punto debajo y macrón"}},"category":"Lu"},{"key":"1E64","mappings":{"default":{"default":"mayúscula S con agudo y punto arriba"}},"category":"Lu"},{"key":"1E66","mappings":{"default":{"default":"mayúscula S con carón y punto arriba"}},"category":"Lu"},{"key":"1E68","mappings":{"default":{"default":"mayúscula S con punto debajo y punto arriba"}},"category":"Lu"},{"key":"1E78","mappings":{"default":{"default":"mayúscula U con tilde y agudo"}},"category":"Lu"},{"key":"1E7A","mappings":{"default":{"default":"mayúscula U con macrón y diéresis"}},"category":"Lu"},{"key":"1EA4","mappings":{"default":{"default":"mayúscula A con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EA6","mappings":{"default":{"default":"mayúscula A con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EA8","mappings":{"default":{"default":"mayúscula A con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EAA","mappings":{"default":{"default":"mayúscula A con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EAC","mappings":{"default":{"default":"mayúscula A con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EAE","mappings":{"default":{"default":"mayúscula A con breve y agudo"}},"category":"Lu"},{"key":"1EB0","mappings":{"default":{"default":"mayúscula A con breve y grave"}},"category":"Lu"},{"key":"1EB2","mappings":{"default":{"default":"mayúscula A con breve y gancho arriba"}},"category":"Lu"},{"key":"1EB4","mappings":{"default":{"default":"mayúscula A con breve y tilde"}},"category":"Lu"},{"key":"1EB6","mappings":{"default":{"default":"mayúscula A con breve y punto debajo"}},"category":"Lu"},{"key":"1EBE","mappings":{"default":{"default":"mayúscula E con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EC0","mappings":{"default":{"default":"mayúscula E con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EC2","mappings":{"default":{"default":"mayúscula E con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EC4","mappings":{"default":{"default":"mayúscula E con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EC6","mappings":{"default":{"default":"mayúscula E con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1ED0","mappings":{"default":{"default":"mayúscula O con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1ED2","mappings":{"default":{"default":"mayúscula O con acento circunflejo y grave"}},"category":"Lu"},{"key":"1ED4","mappings":{"default":{"default":"mayúscula O con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1ED6","mappings":{"default":{"default":"mayúscula O con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1ED8","mappings":{"default":{"default":"mayúscula O con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EDA","mappings":{"default":{"default":"mayúscula O with horn and acute"}},"category":"Lu"},{"key":"1EDC","mappings":{"default":{"default":"mayúscula O with horn and grave"}},"category":"Lu"},{"key":"1EDE","mappings":{"default":{"default":"mayúscula O with horn and hook above"}},"category":"Lu"},{"key":"1EE0","mappings":{"default":{"default":"mayúscula O with horn and tilde"}},"category":"Lu"},{"key":"1EE2","mappings":{"default":{"default":"mayúscula O con cuerno y punto debajo"}},"category":"Lu"},{"key":"1EE8","mappings":{"default":{"default":"mayúscula U con cuerno y agudo"}},"category":"Lu"},{"key":"1EEA","mappings":{"default":{"default":"mayúscula U con cuerno y grave"}},"category":"Lu"},{"key":"1EEC","mappings":{"default":{"default":"mayúscula U con cuerno y gancho arriba"}},"category":"Lu"},{"key":"1EEE","mappings":{"default":{"default":"mayúscula U con cuerno y tilde"}},"category":"Lu"},{"key":"1EF0","mappings":{"default":{"default":"mayúscula U con cuerno y punto debajo"}},"category":"Lu"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-upper-normal.js b/extensions/a11y/mathmaps/es/symbols/latin-upper-normal.js
deleted file mode 100644
index 0a07dce6d6..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-upper-normal.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"0041","mappings":{"default":{"default":"mayúscula A"}},"category":"Lu"},{"key":"0042","mappings":{"default":{"default":"mayúscula B"}},"category":"Lu"},{"key":"0043","mappings":{"default":{"default":"mayúscula C"}},"category":"Lu"},{"key":"0044","mappings":{"default":{"default":"mayúscula D"}},"category":"Lu"},{"key":"0045","mappings":{"default":{"default":"mayúscula E"}},"category":"Lu"},{"key":"0046","mappings":{"default":{"default":"mayúscula F"}},"category":"Lu"},{"key":"0047","mappings":{"default":{"default":"mayúscula G"}},"category":"Lu"},{"key":"0048","mappings":{"default":{"default":"mayúscula H"}},"category":"Lu"},{"key":"0049","mappings":{"default":{"default":"mayúscula I"}},"category":"Lu"},{"key":"004A","mappings":{"default":{"default":"mayúscula J"}},"category":"Lu"},{"key":"004B","mappings":{"default":{"default":"mayúscula K"}},"category":"Lu"},{"key":"004C","mappings":{"default":{"default":"mayúscula L"}},"category":"Lu"},{"key":"004D","mappings":{"default":{"default":"mayúscula M"}},"category":"Lu"},{"key":"004E","mappings":{"default":{"default":"mayúscula N"}},"category":"Lu"},{"key":"004F","mappings":{"default":{"default":"mayúscula O"}},"category":"Lu"},{"key":"0050","mappings":{"default":{"default":"mayúscula P"}},"category":"Lu"},{"key":"0051","mappings":{"default":{"default":"mayúscula Q"}},"category":"Lu"},{"key":"0052","mappings":{"default":{"default":"mayúscula R"}},"category":"Lu"},{"key":"0053","mappings":{"default":{"default":"mayúscula S"}},"category":"Lu"},{"key":"0054","mappings":{"default":{"default":"mayúscula T"}},"category":"Lu"},{"key":"0055","mappings":{"default":{"default":"mayúscula U"}},"category":"Lu"},{"key":"0056","mappings":{"default":{"default":"mayúscula V"}},"category":"Lu"},{"key":"0057","mappings":{"default":{"default":"mayúscula W"}},"category":"Lu"},{"key":"0058","mappings":{"default":{"default":"mayúscula X"}},"category":"Lu"},{"key":"0059","mappings":{"default":{"default":"mayúscula Y","defaultMP":"Ye"}},"category":"Lu"},{"key":"005A","mappings":{"default":{"default":"mayúscula Z"}},"category":"Lu"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/latin-upper-single-accent.js b/extensions/a11y/mathmaps/es/symbols/latin-upper-single-accent.js
deleted file mode 100644
index 29780922da..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/latin-upper-single-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"00C0","mappings":{"default":{"default":"mayúscula A grave"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"mayúscula A aguda"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"mayúscula A acento circunflejo"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"mayúscula A con tilde"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"mayúscula A diéresis"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"mayúscula A con anillo"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"mayúscula C cedilla"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"mayúscula E grave"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"mayúscula E aguda"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"mayúscula E acento circunflejo"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"mayúscula E diéresis"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"mayúscula I grave"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"mayúscula I aguda"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"mayúscula I acento circumflejo"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"mayúscula I diéresis"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"mayúscula Ñ"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"mayúscula O grave"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"mayúscula O aguda"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"mayúscula O acento circunflejo"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"mayúscula O con tilde"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"mayúscula O diéresis"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"mayúscula U grave"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"mayúscula U aguda"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"mayúscula U acento circunflejo"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"mayúscula U diéresis"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"mayúscula Y aguda"}},"category":"Lu"},{"key":"0100","mappings":{"default":{"default":"mayúscula A barra"}},"category":"Lu"},{"key":"0102","mappings":{"default":{"default":"mayúscula A con breve"}},"category":"Lu"},{"key":"0104","mappings":{"default":{"default":"mayúscula A con ogonek"}},"category":"Lu"},{"key":"0106","mappings":{"default":{"default":"mayúscula C con agudo"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"mayúscula C con acento circunflejo"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"mayúscula C con punto arriba"}},"category":"Lu"},{"key":"010C","mappings":{"default":{"default":"mayúscula C con carón"}},"category":"Lu"},{"key":"010E","mappings":{"default":{"default":"mayúscula D con carón"}},"category":"Lu"},{"key":"0112","mappings":{"default":{"default":"mayúscula E barra"}},"category":"Lu"},{"key":"0116","mappings":{"default":{"default":"mayúscula E con punto arriba"}},"category":"Lu"},{"key":"0118","mappings":{"default":{"default":"mayúscula E con ogonek"}},"category":"Lu"},{"key":"011A","mappings":{"default":{"default":"mayúscula E con carón"}},"category":"Lu"},{"key":"011C","mappings":{"default":{"default":"mayúscula G con acento circunflejo"}},"category":"Lu"},{"key":"011E","mappings":{"default":{"default":"mayúscula G con breve"}},"category":"Lu"},{"key":"0120","mappings":{"default":{"default":"mayúscula G con punto arriba"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"mayúscula G con cedilla"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"mayúscula H con acento circunflejo"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"mayúscula I con tilde"}},"category":"Lu"},{"key":"012A","mappings":{"default":{"default":"mayúscula I barra"}},"category":"Lu"},{"key":"012E","mappings":{"default":{"default":"mayúscula I con ogonek"}},"category":"Lu"},{"key":"0130","mappings":{"default":{"default":"mayúscula I con punto arriba"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"mayúscula J con acento circunflejo"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"mayúscula K con cedilla"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"mayúscula L con agudo"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"mayúscula L con cedilla"}},"category":"Lu"},{"key":"013D","mappings":{"default":{"default":"mayúscula L con carón"}},"category":"Lu"},{"key":"013F","mappings":{"default":{"default":"mayúscula L con punto mediano"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"mayúscula N con agudo"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"mayúscula N con cedilla"}},"category":"Lu"},{"key":"0147","mappings":{"default":{"default":"mayúscula n con carón"}},"category":"Lu"},{"key":"014C","mappings":{"default":{"default":"mayúscula O barra"}},"category":"Lu"},{"key":"0150","mappings":{"default":{"default":"mayúscula O con doble acento agudo "}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"mayúscula R con agudo"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"mayúscula R con cedilla"}},"category":"Lu"},{"key":"0158","mappings":{"default":{"default":"mayúscula R con carón"}},"category":"Lu"},{"key":"015A","mappings":{"default":{"default":"mayúscula S con agudo"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"mayúscula S con acento circunflejo"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"mayúscula S con cedilla"}},"category":"Lu"},{"key":"0160","mappings":{"default":{"default":"mayúscula S con carón"}},"category":"Lu"},{"key":"0162","mappings":{"default":{"default":"mayúscula T con cedilla"}},"category":"Lu"},{"key":"0164","mappings":{"default":{"default":"mayúscula T con carón"}},"category":"Lu"},{"key":"0168","mappings":{"default":{"default":"mayúscula U con tilde"}},"category":"Lu"},{"key":"016A","mappings":{"default":{"default":"mayúscula U barra"}},"category":"Lu"},{"key":"016C","mappings":{"default":{"default":"mayúscula U con breve"}},"category":"Lu"},{"key":"016E","mappings":{"default":{"default":"mayúscula U con anillo arriba"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"mayúscula U con doble acento agudo"}},"category":"Lu"},{"key":"0172","mappings":{"default":{"default":"mayúscula U con ogonek"}},"category":"Lu"},{"key":"0174","mappings":{"default":{"default":"mayúscula W con acento circunflejo"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"mayúscula Y con circunflejo"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"mayúscula Y diéresis"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"mayúscula Z con agudo"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"mayúscula Z con punto"}},"category":"Lu"},{"key":"017D","mappings":{"default":{"default":"mayúscula Z con carón"}},"category":"Lu"},{"key":"1E00","mappings":{"default":{"default":"mayúscula A con anillo debajo"}},"category":"Lu"},{"key":"1E02","mappings":{"default":{"default":"mayúscula B con punto arriba"}},"category":"Lu"},{"key":"1E04","mappings":{"default":{"default":"mayúscula B con punto debajo"}},"category":"Lu"},{"key":"1E06","mappings":{"default":{"default":"mayúscula B con línea debajo"}},"category":"Lu"},{"key":"1E0A","mappings":{"default":{"default":"mayúscula D con punto arriba"}},"category":"Lu"},{"key":"1E0C","mappings":{"default":{"default":"mayúscula D con punto debajo"}},"category":"Lu"},{"key":"1E0E","mappings":{"default":{"default":"mayúscula D con línea debajo"}},"category":"Lu"},{"key":"1E10","mappings":{"default":{"default":"mayúscula D con cedilla"}},"category":"Lu"},{"key":"1E12","mappings":{"default":{"default":"mayúscula D con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E18","mappings":{"default":{"default":"mayúscula E con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E1A","mappings":{"default":{"default":"mayúscula E con tilde debajo"}},"category":"Lu"},{"key":"1E1E","mappings":{"default":{"default":"mayúscula F con punto arriba"}},"category":"Lu"},{"key":"1E20","mappings":{"default":{"default":"mayúscula G con macrón"}},"category":"Lu"},{"key":"1E22","mappings":{"default":{"default":"mayúscula H con punto arriba"}},"category":"Lu"},{"key":"1E24","mappings":{"default":{"default":"mayúscula H con punto debajo"}},"category":"Lu"},{"key":"1E26","mappings":{"default":{"default":"mayúscula H con diéresis"}},"category":"Lu"},{"key":"1E28","mappings":{"default":{"default":"mayúscula H con cedilla"}},"category":"Lu"},{"key":"1E2A","mappings":{"default":{"default":"mayúscula H con breve debajo"}},"category":"Lu"},{"key":"1E2C","mappings":{"default":{"default":"mayúscula I con tilde debajo"}},"category":"Lu"},{"key":"1E30","mappings":{"default":{"default":"mayúscula K con agudo"}},"category":"Lu"},{"key":"1E32","mappings":{"default":{"default":"mayúscula K con punto debajo"}},"category":"Lu"},{"key":"1E34","mappings":{"default":{"default":"mayúscula K con línea debajo"}},"category":"Lu"},{"key":"1E36","mappings":{"default":{"default":"mayúscula L con punto debajo"}},"category":"Lu"},{"key":"1E3A","mappings":{"default":{"default":"mayúscula L con línea debajo"}},"category":"Lu"},{"key":"1E3C","mappings":{"default":{"default":"mayúscula L con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E3E","mappings":{"default":{"default":"mayúscula M con agudo"}},"category":"Lu"},{"key":"1E40","mappings":{"default":{"default":"mayúscula M con punto arriba"}},"category":"Lu"},{"key":"1E42","mappings":{"default":{"default":"mayúscula M con punto debajo"}},"category":"Lu"},{"key":"1E44","mappings":{"default":{"default":"mayúscula N con punto arriba"}},"category":"Lu"},{"key":"1E46","mappings":{"default":{"default":"mayúscula N con punto debajo"}},"category":"Lu"},{"key":"1E48","mappings":{"default":{"default":"mayúscula N con línea debajo"}},"category":"Lu"},{"key":"1E4A","mappings":{"default":{"default":"mayúscula N con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E54","mappings":{"default":{"default":"mayúscula P con agudo"}},"category":"Lu"},{"key":"1E56","mappings":{"default":{"default":"mayúscula P con punto arriba"}},"category":"Lu"},{"key":"1E58","mappings":{"default":{"default":"mayúscula R con punto arriba"}},"category":"Lu"},{"key":"1E5A","mappings":{"default":{"default":"mayúscula R con punto debajo"}},"category":"Lu"},{"key":"1E5E","mappings":{"default":{"default":"mayúscula R con línea debajo"}},"category":"Lu"},{"key":"1E60","mappings":{"default":{"default":"mayúscula S con punto arriba"}},"category":"Lu"},{"key":"1E62","mappings":{"default":{"default":"mayúscula S con punto debajo"}},"category":"Lu"},{"key":"1E6A","mappings":{"default":{"default":"mayúscula T con punto arriba"}},"category":"Lu"},{"key":"1E6C","mappings":{"default":{"default":"mayúscula T con punto debajo"}},"category":"Lu"},{"key":"1E6E","mappings":{"default":{"default":"mayúscula T con línea debajo"}},"category":"Lu"},{"key":"1E70","mappings":{"default":{"default":"mayúscula T con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E72","mappings":{"default":{"default":"mayúscula U con diéresis debajo"}},"category":"Lu"},{"key":"1E74","mappings":{"default":{"default":"mayúscula U con tilde debajo"}},"category":"Lu"},{"key":"1E76","mappings":{"default":{"default":"mayúscula U con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E7C","mappings":{"default":{"default":"mayúscula V con tilde"}},"category":"Lu"},{"key":"1E7E","mappings":{"default":{"default":"mayúscula V con punto debajo"}},"category":"Lu"},{"key":"1E80","mappings":{"default":{"default":"mayúscula W con grave"}},"category":"Lu"},{"key":"1E82","mappings":{"default":{"default":"mayúscula W con agudo"}},"category":"Lu"},{"key":"1E84","mappings":{"default":{"default":"mayúscula W con diéresis"}},"category":"Lu"},{"key":"1E86","mappings":{"default":{"default":"mayúscula W con punto arriba"}},"category":"Lu"},{"key":"1E88","mappings":{"default":{"default":"mayúscula W con punto debajo"}},"category":"Lu"},{"key":"1E8A","mappings":{"default":{"default":"mayúscula X con punto arriba"}},"category":"Lu"},{"key":"1E8C","mappings":{"default":{"default":"mayúscula X con diéresis"}},"category":"Lu"},{"key":"1E8E","mappings":{"default":{"default":"mayúscula Y con punto arriba"}},"category":"Lu"},{"key":"1E90","mappings":{"default":{"default":"mayúscula Z con acento circunflejo"}},"category":"Lu"},{"key":"1E92","mappings":{"default":{"default":"mayúscula Z con punto debajo"}},"category":"Lu"},{"key":"1E94","mappings":{"default":{"default":"mayúscula Z with line below"}},"category":"Lu"},{"key":"1EA0","mappings":{"default":{"default":"mayúscula A con punto debajo"}},"category":"Lu"},{"key":"1EA2","mappings":{"default":{"default":"mayúscula A con gancho arriba"}},"category":"Lu"},{"key":"1EB8","mappings":{"default":{"default":"mayúscula E con punto debajo"}},"category":"Lu"},{"key":"1EBA","mappings":{"default":{"default":"mayúscula E con gancho arriba"}},"category":"Lu"},{"key":"1EBC","mappings":{"default":{"default":"mayúscula E con tilde"}},"category":"Lu"},{"key":"1EC8","mappings":{"default":{"default":"mayúscula I con gancho arriba"}},"category":"Lu"},{"key":"1ECA","mappings":{"default":{"default":"mayúscula I con punto debajo"}},"category":"Lu"},{"key":"1ECC","mappings":{"default":{"default":"mayúscula O con punto debajo"}},"category":"Lu"},{"key":"1ECE","mappings":{"default":{"default":"mayúscula O con gancho arriba"}},"category":"Lu"},{"key":"1EE4","mappings":{"default":{"default":"mayúscula U con punto debajo"}},"category":"Lu"},{"key":"1EE6","mappings":{"default":{"default":"mayúscula U con gancho arriba"}},"category":"Lu"},{"key":"1EF2","mappings":{"default":{"default":"mayúscula Y con grave"}},"category":"Lu"},{"key":"1EF4","mappings":{"default":{"default":"mayúscula Y con punto debajo"}},"category":"Lu"},{"key":"1EF6","mappings":{"default":{"default":"mayúscula Y con gancho arriba"}},"category":"Lu"},{"key":"1EF8","mappings":{"default":{"default":"mayúscula Y con tilde"}},"category":"Lu"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/math_angles.js b/extensions/a11y/mathmaps/es/symbols/math_angles.js
deleted file mode 100644
index 985759328c..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/math_angles.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"22BE","mappings":{"default":{"default":"ángulo recto con arco"}},"category":"Sm"},{"key":"237C","mappings":{"default":{"default":"ángulo recto con flecha zigzag hacia abajo"}},"category":"Sm"},{"key":"27C0","mappings":{"default":{"default":"ángulo sólido"}},"category":"Sm"},{"key":"299D","mappings":{"default":{"default":"ángulo recto medido con punto"}},"category":"Sm"},{"key":"29A4","mappings":{"default":{"default":"ángulo con barra inferior"}},"category":"Sm"},{"key":"29A5","mappings":{"default":{"default":"ángulo inverso con barra inferior"}},"category":"Sm"},{"key":"29A6","mappings":{"default":{"default":"ángulo oblicuo hacia arriba"}},"category":"Sm"},{"key":"29A7","mappings":{"default":{"default":"ángulo oblicuo hacia abajo"}},"category":"Sm"},{"key":"29A8","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the right"}},"category":"Sm"},{"key":"29A9","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the left"}},"category":"Sm"},{"key":"29AA","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the right"}},"category":"Sm"},{"key":"29AB","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the left"}},"category":"Sm"},{"key":"29AC","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"category":"Sm"},{"key":"29AD","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"category":"Sm"},{"key":"29AE","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"category":"Sm"},{"key":"29AF","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"category":"Sm"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/math_arrows.js b/extensions/a11y/mathmaps/es/symbols/math_arrows.js
deleted file mode 100644
index 81a75c27ce..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/math_arrows.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"2190","mappings":{"default":{"default":"flecha izquierda"}},"category":"Sm"},{"key":"2191","mappings":{"default":{"default":"flecha arriba"}},"category":"Sm"},{"key":"2192","mappings":{"default":{"default":"flecha derecha","defaultMP":"flecha"}},"category":"Sm"},{"key":"2193","mappings":{"default":{"default":"flecha abajo"}},"category":"Sm"},{"key":"2194","mappings":{"default":{"default":"flecha izquierda y derecha"}},"category":"Sm"},{"key":"2195","mappings":{"default":{"default":"flecha arriba y abajo"}},"category":"So"},{"key":"2196","mappings":{"default":{"default":"flecha a noroeste"}},"category":"So"},{"key":"2197","mappings":{"default":{"default":"flecha a nordeste"}},"category":"So"},{"key":"2198","mappings":{"default":{"default":"flecha a sureste"}},"category":"So"},{"key":"2199","mappings":{"default":{"default":"flecha a suroeste"}},"category":"So"},{"key":"219A","mappings":{"default":{"default":"flecha izquierda tachada"}},"category":"Sm"},{"key":"219B","mappings":{"default":{"default":"flecha tachada"}},"category":"Sm"},{"key":"219C","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"219D","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"219E","mappings":{"default":{"default":"flecha izquierda con doble punta"}},"category":"So"},{"key":"219F","mappings":{"default":{"default":"flecha con doble punta hacia arriba"}},"category":"So"},{"key":"21A0","mappings":{"default":{"default":"flecha derechaa con doble punta"}},"category":"Sm"},{"key":"21A1","mappings":{"default":{"default":"flecha con doble punta hacia abajo"}},"category":"So"},{"key":"21A2","mappings":{"default":{"default":"flecha izquierda con cola"}},"category":"So"},{"key":"21A3","mappings":{"default":{"default":"flecha derecha con cola"}},"category":"Sm"},{"key":"21A4","mappings":{"default":{"default":"flecha izquierda de barra"}},"category":"So"},{"key":"21A5","mappings":{"default":{"default":"barra con flecha"}},"category":"So"},{"key":"21A6","mappings":{"default":{"default":"flecha derecha de barra"}},"category":"Sm"},{"key":"21A7","mappings":{"default":{"default":"flecha con barra"}},"category":"So"},{"key":"21A8","mappings":{"default":{"default":"flecha arriba y abajo con base"}},"category":"So"},{"key":"21A9","mappings":{"default":{"default":"flecha izquierda con gancho"}},"category":"So"},{"key":"21AA","mappings":{"default":{"default":"flecha con gancho"}},"category":"So"},{"key":"21AB","mappings":{"default":{"default":"flecha izquierda con lazo"}},"category":"So"},{"key":"21AC","mappings":{"default":{"default":"flecha con lazo"}},"category":"So"},{"key":"21AD","mappings":{"default":{"default":"flecha ondulada izquierda y derecha"}},"category":"So"},{"key":"21AE","mappings":{"default":{"default":"flecha izquierda y derecha tachada"}},"category":"Sm"},{"key":"21AF","mappings":{"default":{"default":"flecha zigzag abajo"}},"category":"So"},{"key":"21B0","mappings":{"default":{"default":"flecha arriba con punta izquierda"}},"category":"So"},{"key":"21B1","mappings":{"default":{"default":"flecha arriba con punta derecha"}},"category":"So"},{"key":"21B2","mappings":{"default":{"default":"flecha abajo con punta izquierda"}},"category":"So"},{"key":"21B3","mappings":{"default":{"default":"flecha abajo con punta derecha"}},"category":"So"},{"key":"21B4","mappings":{"default":{"default":"flecha derecha desde esquina inferior"}},"category":"So"},{"key":"21B5","mappings":{"default":{"default":"flecha hacia abajo desde esquina izquierda"}},"category":"So"},{"key":"21B6","mappings":{"default":{"default":"flecha semicircular superior en sentido antihorario"}},"category":"So"},{"key":"21B7","mappings":{"default":{"default":"flecha semicircular superior en sentido horario"}},"category":"So"},{"key":"21B8","mappings":{"default":{"default":"flecha noroeste a barra larga"}},"category":"So"},{"key":"21B9","mappings":{"default":{"default":"flecha izquierda a barra arriba de flecha derecha a barra"}},"category":"So"},{"key":"21BA","mappings":{"default":{"default":"flecha circular abierta en sentido antihorario"}},"category":"So"},{"key":"21BB","mappings":{"default":{"default":"flecha circular abierta en sentido horario"}},"category":"So"},{"key":"21C4","mappings":{"default":{"default":"flecha derecha arriba de flecha izquierda"}},"category":"So"},{"key":"21C5","mappings":{"default":{"default":"flecha arriba a la izquierda de flecha abajo"}},"category":"So"},{"key":"21C6","mappings":{"default":{"default":"flecha izquierda arriba de flecha derecha"}},"category":"So"},{"key":"21C7","mappings":{"default":{"default":"dos flechas hacia la izquierda"}},"category":"So"},{"key":"21C8","mappings":{"default":{"default":"dos flechas hacia arriba"}},"category":"So"},{"key":"21C9","mappings":{"default":{"default":"dos flechas"}},"category":"So"},{"key":"21CA","mappings":{"default":{"default":"dos flechas hacia abajo"}},"category":"So"},{"key":"21CD","mappings":{"default":{"default":"flecha doble izquierda tachada"}},"category":"So"},{"key":"21CE","mappings":{"default":{"default":"flecha doble izquierda y derecha tachada"}},"category":"Sm"},{"key":"21CF","mappings":{"default":{"default":"flecha doble tachada"}},"category":"Sm"},{"key":"21D0","mappings":{"default":{"default":"flecha doble hacia la izquierda"}},"category":"So"},{"key":"21D1","mappings":{"default":{"default":"flecha doble hacia arriba"}},"category":"So"},{"key":"21D2","mappings":{"default":{"default":"flecha doble"}},"category":"Sm"},{"key":"21D3","mappings":{"default":{"default":"flecha doble hacia abajo"}},"category":"So"},{"key":"21D4","mappings":{"default":{"default":"flecha doble izquierda-derecha"}},"category":"Sm"},{"key":"21D5","mappings":{"default":{"default":"flecha doble vertical"}},"category":"So"},{"key":"21D6","mappings":{"default":{"default":"flecha doble hacia noroeste"}},"category":"So"},{"key":"21D7","mappings":{"default":{"default":"flecha doble hacia nordeste"}},"category":"So"},{"key":"21D8","mappings":{"default":{"default":"flecha doble hacia sudeste"}},"category":"So"},{"key":"21D9","mappings":{"default":{"default":"flecha doble hacia sudoeste"}},"category":"So"},{"key":"21DA","mappings":{"default":{"default":"flecha triple izquierda"}},"category":"So"},{"key":"21DB","mappings":{"default":{"default":"flecha triple"}},"category":"So"},{"key":"21DC","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"21DD","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"21DE","mappings":{"default":{"default":"flecha hacia arriba con doble tachado"}},"category":"So"},{"key":"21DF","mappings":{"default":{"default":"flecha hacia abajo con doble tachado"}},"category":"So"},{"key":"21E0","mappings":{"default":{"default":"flecha de puntos hacia la izquierda"}},"category":"So"},{"key":"21E1","mappings":{"default":{"default":"flecha de puntos hacia arriba"}},"category":"So"},{"key":"21E2","mappings":{"default":{"default":"flecha de puntos"}},"category":"So"},{"key":"21E3","mappings":{"default":{"default":"flecha de puntos hacia abajo"}},"category":"So"},{"key":"21E4","mappings":{"default":{"default":"flecha izquierda a barra"}},"category":"So"},{"key":"21E5","mappings":{"default":{"default":"flecha derecha a barra"}},"category":"So"},{"key":"21E6","mappings":{"default":{"default":"flecha vacía hacia la izquierda"}},"category":"So"},{"key":"21E7","mappings":{"default":{"default":"flecha vacía hacia arriba"}},"category":"So"},{"key":"21E8","mappings":{"default":{"default":"flecha vacía"}},"category":"So"},{"key":"21E9","mappings":{"default":{"default":"flecha vacía hacia abajo"}},"category":"So"},{"key":"21EA","mappings":{"default":{"default":"flecha vacía hacia arriba desde barra"}},"category":"So"},{"key":"21F5","mappings":{"default":{"default":"upwards arrow to the right of downwards arrow"}},"category":"Sm"},{"key":"21FD","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FE","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FF","mappings":{"default":{"default":"flecha izquierda derecha con punta vacía"}},"category":"Sm"},{"key":"27F0","mappings":{"default":{"default":"flecha cuádruple hacia arriba"}},"category":"Sm"},{"key":"27F1","mappings":{"default":{"default":"flecha cuádruple hacia abajo"}},"category":"Sm"},{"key":"27F2","mappings":{"default":{"default":"flecha hacia la izquierda desde círculo"}},"category":"Sm"},{"key":"27F3","mappings":{"default":{"default":"flecha hacia la derecha desde círculo"}},"category":"Sm"},{"key":"27F4","mappings":{"default":{"default":"flecha con más en círculo"}},"category":"Sm"},{"key":"27F5","mappings":{"default":{"default":"flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F6","mappings":{"default":{"default":"flecha larga"}},"category":"Sm"},{"key":"27F7","mappings":{"default":{"default":"flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27F8","mappings":{"default":{"default":"doble flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F9","mappings":{"default":{"default":"doble flecha larga"}},"category":"Sm"},{"key":"27FA","mappings":{"default":{"default":"doble flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27FB","mappings":{"default":{"default":"flecha larga hacia la izquierda, desde barra"}},"category":"Sm"},{"key":"27FC","mappings":{"default":{"default":"flecha larga desde barra"}},"category":"Sm"},{"key":"27FD","mappings":{"default":{"default":"doble flecha larga hacia la izquierda desde barra"}},"category":"Sm"},{"key":"27FE","mappings":{"default":{"default":"doble flecha larga desde barra"}},"category":"Sm"},{"key":"27FF","mappings":{"default":{"default":"flecha larga en zigzag"}},"category":"Sm"},{"key":"2905","mappings":{"default":{"default":"rightwards two headed arrow from bar"}},"category":"Sm"},{"key":"290C","mappings":{"default":{"default":"leftwards double dash arrow"}},"category":"Sm"},{"key":"290D","mappings":{"default":{"default":"rightwards double dash arrow"}},"category":"Sm"},{"key":"290E","mappings":{"default":{"default":"leftwards triple dash arrow"}},"category":"Sm"},{"key":"290F","mappings":{"default":{"default":"rightwards triple dash arrow"}},"category":"Sm"},{"key":"2910","mappings":{"default":{"default":"rightwards two headed triple dash arrow"}},"category":"Sm"},{"key":"2911","mappings":{"default":{"default":"rightwards arrow with dotted stem"}},"category":"Sm"},{"key":"2912","mappings":{"default":{"default":"upwards arrow to bar"}},"category":"Sm"},{"key":"2913","mappings":{"default":{"default":"downwards arrow to bar"}},"category":"Sm"},{"key":"2916","mappings":{"default":{"default":"rightwards two headed arrow with tail"}},"category":"Sm"},{"key":"2919","mappings":{"default":{"default":"cola de flecha hacia la izquierda"}},"category":"Sm"},{"key":"291B","mappings":{"default":{"default":"cola de doble flecha hacia la izquierda"}},"category":"Sm"},{"key":"291C","mappings":{"default":{"default":"cola de doble flecha hacia la derecha"}},"category":"Sm"},{"key":"291D","mappings":{"default":{"default":"flecha hacia diamante relleno a la izquierda"}},"category":"Sm"},{"key":"291E","mappings":{"default":{"default":"flecha hacia diamante a la derecha"}},"category":"Sm"},{"key":"291F","mappings":{"default":{"default":"flecha desde barra hacia diamante a la izquierda"}},"category":"Sm"},{"key":"2920","mappings":{"default":{"default":"flecha desde barra hacia diamante a la derecha"}},"category":"Sm"},{"key":"2923","mappings":{"default":{"default":"flecha a noroeste con garfio"}},"category":"Sm"},{"key":"2924","mappings":{"default":{"default":"flecha a nordeste con garfio"}},"category":"Sm"},{"key":"2925","mappings":{"default":{"default":"flecha a sureste con garfio"}},"category":"Sm"},{"key":"2926","mappings":{"default":{"default":"flecha a suroeste con garfio"}},"category":"Sm"},{"key":"2927","mappings":{"default":{"default":"flechas a noroeste y nordeste"}},"category":"Sm"},{"key":"2928","mappings":{"default":{"default":"flechas a nordeste y sudeste"}},"category":"Sm"},{"key":"2929","mappings":{"default":{"default":"flechas a suddeste y sudoeste"}},"category":"Sm"},{"key":"292A","mappings":{"default":{"default":"flechas a sudoeste y noroeste"}},"category":"Sm"},{"key":"2933","mappings":{"default":{"default":"flecha ondulada"}},"category":"Sm"},{"key":"2935","mappings":{"default":{"default":"flecha hacia la derecha que gira hacia abajo"}},"category":"Sm"},{"key":"2936","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la izquierda"}},"category":"Sm"},{"key":"2937","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la derecha"}},"category":"Sm"},{"key":"2938","mappings":{"default":{"default":"flecha semicircular a la derecha en sentido horario"}},"category":"Sm"},{"key":"2939","mappings":{"default":{"default":"flecha semicircular a la izquierda en sentido antihorario"}},"category":"Sm"},{"key":"293C","mappings":{"default":{"default":"giro negativo"}},"category":"Sm"},{"key":"293D","mappings":{"default":{"default":"giro positivo"}},"category":"Sm"},{"key":"2945","mappings":{"default":{"default":"flecha con más suscrito"}},"category":"Sm"},{"key":"2948","mappings":{"default":{"default":"flecha hacia la izquierda a través de círculo"}},"category":"Sm"},{"key":"2949","mappings":{"default":{"default":"dos cabezas de flecha hacia arriba desde círculo"}},"category":"Sm"},{"key":"2970","mappings":{"default":{"default":"round implies"}},"category":"Sm"},{"key":"2971","mappings":{"default":{"default":"flecha con igual"}},"category":"Sm"},{"key":"2972","mappings":{"default":{"default":"flecha con tilde"}},"category":"Sm"},{"key":"2973","mappings":{"default":{"default":"tilde con flecha hacia la izquierda"}},"category":"Sm"},{"key":"2974","mappings":{"default":{"default":"tilde con flecha"}},"category":"Sm"},{"key":"2975","mappings":{"default":{"default":"flecha con casi igual a"}},"category":"Sm"},{"key":"2976","mappings":{"default":{"default":"flecha hacia la izquierda con menor que"}},"category":"Sm"},{"key":"2978","mappings":{"default":{"default":"flecha con mayor que"}},"category":"Sm"},{"key":"2979","mappings":{"default":{"default":"flecha hacia la izquierda con incluido"}},"category":"Sm"},{"key":"297B","mappings":{"default":{"default":"flecha hacia la izquierda con contiene"}},"category":"Sm"},{"key":"29B3","mappings":{"default":{"default":"conjunto vacío con flecha"}},"category":"Sm"},{"key":"29B4","mappings":{"default":{"default":"conjunto vacío con flecha inversa"}},"category":"Sm"},{"key":"2A17","mappings":{"default":{"default":"integral con flecha hacia la izquierda con garfio"}},"category":"Sm"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/math_characters.js b/extensions/a11y/mathmaps/es/symbols/math_characters.js
deleted file mode 100644
index 18c6357007..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/math_characters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"2113","mappings":{"default":{"default":"script l"}},"category":"Ll"},{"key":"2118","mappings":{"default":{"default":"p de weierstrass"}},"category":"Sm"},{"key":"2145","mappings":{"default":{"default":"mayúscula D"}},"category":"Lu"},{"key":"2146","mappings":{"default":{"default":"d"}},"category":"Ll"},{"key":"2147","mappings":{"default":{"default":"e"}},"category":"Ll"},{"key":"2148","mappings":{"default":{"default":"i"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"cursiva dotless i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"cursiva dotless j"}},"key":"1D6A5"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/math_delimiters.js b/extensions/a11y/mathmaps/es/symbols/math_delimiters.js
deleted file mode 100644
index 6294d37d52..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/math_delimiters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"0028","mappings":{"default":{"default":"paréntesis izquierdo","defaultMP":"paréntesis"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"paréntesis derecho","defaultMP":"cierra paréntesis"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"corchete izquierdo","defaultMP":"abre corchetes"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"corchete derecho","defaultMP":"cierra corchetes"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"llave izquierda","defaultMP":"abre llaves"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"llaves derecha","defaultMP":"cierra llaves"}},"category":"Pe"},{"key":"2308","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"Sm"},{"key":"2309","mappings":{"default":{"default":"esquina superior derecha"}},"category":"Sm"},{"key":"230A","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"Sm"},{"key":"230B","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"Sm"},{"key":"230C","mappings":{"default":{"default":"corte inferior derecho"}},"category":"So"},{"key":"230D","mappings":{"default":{"default":"corte inferior izquierdo"}},"category":"So"},{"key":"230E","mappings":{"default":{"default":"corte superior derecho "}},"category":"So"},{"key":"230F","mappings":{"default":{"default":"corte superior izquierdo"}},"category":"So"},{"key":"231C","mappings":{"default":{"default":"ángulo superior izquierdo"}},"category":"So"},{"key":"231D","mappings":{"default":{"default":"ángulo superior derecho"}},"category":"So"},{"key":"231E","mappings":{"default":{"default":"ángulo inferior izquierdo"}},"category":"So"},{"key":"231F","mappings":{"default":{"default":"ángulo inferior derecho"}},"category":"So"},{"key":"2320","mappings":{"default":{"default":"mitad superior de integral"}},"category":"Sm"},{"key":"2321","mappings":{"default":{"default":"mitad inferior de integral"}},"category":"Sm"},{"key":"2329","mappings":{"default":{"default":"paréntesis angular izquierdo"}},"category":"Ps"},{"key":"232A","mappings":{"default":{"default":"paréntesis angular derecho"}},"category":"Pe"},{"key":"23B0","mappings":{"default":{"default":"izquierda arriba o derecho debajo sección llave"}},"category":"Sm"},{"key":"23B1","mappings":{"default":{"default":"derecha arriba o izquierdo debajo sección llave"}},"category":"Sm"},{"key":"23B4","mappings":{"default":{"default":"corchete superior"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"corchete inferior"}},"category":"So"},{"key":"23DC","mappings":{"default":{"default":"paréntesis superior"}},"category":"Sm"},{"key":"23DD","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Sm"},{"key":"23DE","mappings":{"default":{"default":"corchete rizado superior"}},"category":"Sm"},{"key":"23DF","mappings":{"default":{"default":"corchete rizado inferior"}},"category":"Sm"},{"key":"23E0","mappings":{"default":{"default":"corchete superior en tortuga"}},"category":"Sm"},{"key":"23E1","mappings":{"default":{"default":"corchete inferior en tortuga"}},"category":"Sm"},{"key":"27C5","mappings":{"default":{"default":"símbolo delimitador izquierdo de bolsa de s-formó"}},"category":"Ps"},{"key":"27C6","mappings":{"default":{"default":"símbolo delimitador derecho de bolsa de s-formó"}},"category":"Pe"},{"key":"27E6","mappings":{"default":{"default":"corchete vacío izquierdo"}},"category":"Ps"},{"key":"27E7","mappings":{"default":{"default":"corchete vacío derecho"}},"category":"Pe"},{"key":"27E8","mappings":{"default":{"default":"corchete agudo izquierdo"}},"category":"Ps"},{"key":"27E9","mappings":{"default":{"default":"corchete agudo derecho"}},"category":"Pe"},{"key":"27EA","mappings":{"default":{"default":"doble corchete agudo izquierdo"}},"category":"Ps"},{"key":"27EB","mappings":{"default":{"default":"doble corchete agudo derecho"}},"category":"Pe"},{"key":"27EC","mappings":{"default":{"default":"corchete de tortuga vacío izquierdo"}},"category":"Ps"},{"key":"27ED","mappings":{"default":{"default":"corchete de tortuga vacío derecho "}},"category":"Pe"},{"key":"27EE","mappings":{"default":{"default":"paréntesis plano izquierdo"}},"category":"Ps"},{"key":"27EF","mappings":{"default":{"default":"paréntesis plano derecho"}},"category":"Pe"},{"key":"2985","mappings":{"default":{"default":"left white paren"}},"category":"Ps"},{"key":"2986","mappings":{"default":{"default":"right white paren"}},"category":"Pe"},{"key":"2989","mappings":{"default":{"default":"z notation left binding bracket"}},"category":"Ps"},{"key":"298A","mappings":{"default":{"default":"z notation right binding bracket"}},"category":"Pe"},{"key":"298B","mappings":{"default":{"default":"left bracket with underbar"}},"category":"Ps"},{"key":"298C","mappings":{"default":{"default":"right bracket with underbar"}},"category":"Pe"},{"key":"298D","mappings":{"default":{"default":"left bracket with tick in top corner"}},"category":"Ps"},{"key":"298E","mappings":{"default":{"default":"right bracket with tick in bottom corner"}},"category":"Pe"},{"key":"298F","mappings":{"default":{"default":"left bracket with tick in bottom corner"}},"category":"Ps"},{"key":"2990","mappings":{"default":{"default":"right bracket with tick in top corner"}},"category":"Pe"},{"key":"2991","mappings":{"default":{"default":"left angle bracket with dot"}},"category":"Ps"},{"key":"2992","mappings":{"default":{"default":"right angle bracket with dot"}},"category":"Pe"},{"key":"2993","mappings":{"default":{"default":"left arc less than bracket"}},"category":"Ps"},{"key":"2994","mappings":{"default":{"default":"right arc greater than bracket"}},"category":"Pe"},{"key":"2995","mappings":{"default":{"default":"double left arc greater than bracket"}},"category":"Ps"},{"key":"2996","mappings":{"default":{"default":"double right arc less than bracket"}},"category":"Pe"},{"key":"29DA","mappings":{"default":{"default":"left double wiggly fence"}},"category":"Ps"},{"key":"29DB","mappings":{"default":{"default":"right double wiggly fence"}},"category":"Pe"},{"key":"300A","mappings":{"default":{"default":"paréntesis angular doble"}},"category":"Ps"},{"key":"300B","mappings":{"default":{"default":"paréntesis angular doble derecho","defaultMP":"cierra paréntesis angular doble"}},"category":"Pe"},{"key":"3014","mappings":{"default":{"default":"left tortoise shell bracket"}},"category":"Ps"},{"key":"3015","mappings":{"default":{"default":"right tortoise shell bracket"}},"category":"Pe"},{"key":"301A","mappings":{"default":{"default":"corchete vacío"}},"category":"Ps"},{"key":"301B","mappings":{"default":{"default":"corchete vacío derecho","defaultMP":"cierra corchete vacío"}},"category":"Pe"},{"key":"301E","mappings":{"default":{"default":"segunda"}},"category":"Pe"},{"key":"FE35","mappings":{"default":{"default":"paréntesis superior"}},"category":"Ps"},{"key":"FE36","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Pe"},{"key":"FE37","mappings":{"default":{"default":"llave superior"}},"category":"Ps"},{"key":"FE38","mappings":{"default":{"default":"llave inferior"}},"category":"Pe"},{"key":"FE3F","mappings":{"default":{"default":"paréntesis angular superior"}},"category":"Ps"},{"key":"FE40","mappings":{"default":{"default":"paréntesis angular inferior"}},"category":"Pe"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/math_digits.js b/extensions/a11y/mathmaps/es/symbols/math_digits.js
deleted file mode 100644
index ce619b0e6d..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/math_digits.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"00B2","mappings":{"default":{"default":"super 2"}},"category":"No"},{"key":"00B3","mappings":{"default":{"default":"super 3"}},"category":"No"},{"key":"00B9","mappings":{"default":{"default":"super 1"}},"category":"No"},{"key":"00BC","mappings":{"default":{"default":"un cuarto"}},"category":"No"},{"key":"00BD","mappings":{"default":{"default":"un medio"}},"category":"No"},{"key":"00BE","mappings":{"default":{"default":"tres cuartos"}},"category":"No"},{"key":"2153","mappings":{"default":{"default":"un tercio"}},"category":"No"},{"key":"2154","mappings":{"default":{"default":"dos tercios"}},"category":"No"},{"key":"2155","mappings":{"default":{"default":"un quinto"}},"category":"No"},{"key":"2156","mappings":{"default":{"default":"dos quintos"}},"category":"No"},{"key":"2157","mappings":{"default":{"default":"tres quintos"}},"category":"No"},{"key":"2158","mappings":{"default":{"default":"cuatro quintos"}},"category":"No"},{"key":"2159","mappings":{"default":{"default":"un sexto"}},"category":"No"},{"key":"215A","mappings":{"default":{"default":"cinco sextos"}},"category":"No"},{"key":"215B","mappings":{"default":{"default":"un octavo"}},"category":"No"},{"key":"215C","mappings":{"default":{"default":"tres octavos"}},"category":"No"},{"key":"215D","mappings":{"default":{"default":"cinco octavos"}},"category":"No"},{"key":"215E","mappings":{"default":{"default":"siete octavos"}},"category":"No"},{"category":"Nd","mappings":{"default":{"default":"negrita 0"}},"key":"1D7CE"},{"category":"Nd","mappings":{"default":{"default":"negrita 1"}},"key":"1D7CF"},{"category":"Nd","mappings":{"default":{"default":"negrita 2"}},"key":"1D7D0"},{"category":"Nd","mappings":{"default":{"default":"negrita 3"}},"key":"1D7D1"},{"category":"Nd","mappings":{"default":{"default":"negrita 4"}},"key":"1D7D2"},{"category":"Nd","mappings":{"default":{"default":"negrita 5"}},"key":"1D7D3"},{"category":"Nd","mappings":{"default":{"default":"negrita 6"}},"key":"1D7D4"},{"category":"Nd","mappings":{"default":{"default":"negrita 7"}},"key":"1D7D5"},{"category":"Nd","mappings":{"default":{"default":"negrita 8"}},"key":"1D7D6"},{"category":"Nd","mappings":{"default":{"default":"negrita 9"}},"key":"1D7D7"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 0"}},"key":"1D7D8"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 1"}},"key":"1D7D9"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 2"}},"key":"1D7DA"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 3"}},"key":"1D7DB"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 4"}},"key":"1D7DC"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 5"}},"key":"1D7DD"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 6"}},"key":"1D7DE"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 7"}},"key":"1D7DF"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 8"}},"key":"1D7E0"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 9"}},"key":"1D7E1"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 0"}},"key":"1D7E2"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 1"}},"key":"1D7E3"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 2"}},"key":"1D7E4"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 3"}},"key":"1D7E5"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 4"}},"key":"1D7E6"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 5"}},"key":"1D7E7"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 6"}},"key":"1D7E8"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 7"}},"key":"1D7E9"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 8"}},"key":"1D7EA"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 9"}},"key":"1D7EB"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 0"}},"key":"1D7EC"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 1"}},"key":"1D7ED"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 2"}},"key":"1D7EE"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 3"}},"key":"1D7EF"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 4"}},"key":"1D7F0"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 5"}},"key":"1D7F1"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 6"}},"key":"1D7F2"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 7"}},"key":"1D7F3"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 8"}},"key":"1D7F4"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 9"}},"key":"1D7F5"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 0"}},"key":"1D7F6"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 1"}},"key":"1D7F7"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 2"}},"key":"1D7F8"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 3"}},"key":"1D7F9"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 4"}},"key":"1D7FA"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 5"}},"key":"1D7FB"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 6"}},"key":"1D7FC"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 7"}},"key":"1D7FD"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 8"}},"key":"1D7FE"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 9"}},"key":"1D7FF"},{"category":"No","mappings":{"default":{"default":"0 punto"}},"key":"1F100"},{"category":"No","mappings":{"default":{"default":"0 coma"}},"key":"1F101"},{"category":"No","mappings":{"default":{"default":"1 coma"}},"key":"1F102"},{"category":"No","mappings":{"default":{"default":"2 coma"}},"key":"1F103"},{"category":"No","mappings":{"default":{"default":"3 coma"}},"key":"1F104"},{"category":"No","mappings":{"default":{"default":"4 coma"}},"key":"1F105"},{"category":"No","mappings":{"default":{"default":"5 coma"}},"key":"1F106"},{"category":"No","mappings":{"default":{"default":"6 coma"}},"key":"1F107"},{"category":"No","mappings":{"default":{"default":"7 coma"}},"key":"1F108"},{"category":"No","mappings":{"default":{"default":"8 coma"}},"key":"1F109"},{"category":"No","mappings":{"default":{"default":"9 coma"}},"key":"1F10A"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/math_geometry.js b/extensions/a11y/mathmaps/es/symbols/math_geometry.js
deleted file mode 100644
index 9c39f275fe..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/math_geometry.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"2500","mappings":{"default":{"default":"delimitador horizontal"}},"category":"So"},{"key":"2502","mappings":{"default":{"default":"delimitador vertical"}},"category":"So"},{"key":"250C","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"So"},{"key":"2510","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"So"},{"key":"2514","mappings":{"default":{"default":"esquina superior derecha"}},"category":"So"},{"key":"2518","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"So"},{"key":"251C","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal"}},"category":"So"},{"key":"2524","mappings":{"default":{"default":"delimitador derecho y separador horizontal"}},"category":"So"},{"key":"252C","mappings":{"default":{"default":"delimitador superior y separador vertical"}},"category":"So"},{"key":"2534","mappings":{"default":{"default":"delimitador inferior y separador vertical"}},"category":"So"},{"key":"253C","mappings":{"default":{"default":"cruce de separadores sencillos"}},"category":"So"},{"key":"2550","mappings":{"default":{"default":"delimitador horizontal doble"}},"category":"So"},{"key":"2551","mappings":{"default":{"default":"delimitador vertical doble"}},"category":"So"},{"key":"2552","mappings":{"default":{"default":"esquina inferior derecha, vertical doble"}},"category":"So"},{"key":"2553","mappings":{"default":{"default":"esquina inferior derecha, horizontal doble"}},"category":"So"},{"key":"2554","mappings":{"default":{"default":"esquina inferior derecha doble"}},"category":"So"},{"key":"2555","mappings":{"default":{"default":"esquina inferior izquierda, vertical doble"}},"category":"So"},{"key":"2556","mappings":{"default":{"default":"esquina inferior izquierda, horizontal doble"}},"category":"So"},{"key":"2557","mappings":{"default":{"default":"esquina inferior izquierda doble"}},"category":"So"},{"key":"2558","mappings":{"default":{"default":"esquina superior derecha, vertical doble"}},"category":"So"},{"key":"2559","mappings":{"default":{"default":"esquina superior derecha, horizontal doble"}},"category":"So"},{"key":"255A","mappings":{"default":{"default":"esquina superior derecha doble"}},"category":"So"},{"key":"255B","mappings":{"default":{"default":"esquina superior izquierda, vertical doble"}},"category":"So"},{"key":"255C","mappings":{"default":{"default":"esquina superior izquierda, horizontal doble"}},"category":"So"},{"key":"255D","mappings":{"default":{"default":"esquina superior izquierda doble"}},"category":"So"},{"key":"255E","mappings":{"default":{"default":"delimitador izquierdo con separador doble"}},"category":"So"},{"key":"255F","mappings":{"default":{"default":"delimitador izquierdo doble con separador horizontal"}},"category":"So"},{"key":"2560","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal dobles"}},"category":"So"},{"key":"2561","mappings":{"default":{"default":"delimitador derecho con separador doble"}},"category":"So"},{"key":"2562","mappings":{"default":{"default":"delimitador derecho doble con separador horizontal"}},"category":"So"},{"key":"2563","mappings":{"default":{"default":"delimitador derecho y separador horizontal dobles"}},"category":"So"},{"key":"2564","mappings":{"default":{"default":"delimitador superior doble con separador vertical"}},"category":"So"},{"key":"2565","mappings":{"default":{"default":"delimitador superior con separador vertical doble"}},"category":"So"},{"key":"2566","mappings":{"default":{"default":"delimitador superior y separador vertical dobles"}},"category":"So"},{"key":"2567","mappings":{"default":{"default":"delimitador inferior doble con separador vertical"}},"category":"So"},{"key":"2568","mappings":{"default":{"default":"delimitador inferior con separador vertical doble"}},"category":"So"},{"key":"2569","mappings":{"default":{"default":"delimitador inferior y separador vertical dobles"}},"category":"So"},{"key":"256A","mappings":{"default":{"default":"cruce de separadores, vertical sencillo y horizontal doble"}},"category":"So"},{"key":"256B","mappings":{"default":{"default":"cruce de separadores, vertical doble y horizontal sencillo"}},"category":"So"},{"key":"256C","mappings":{"default":{"default":"cruce de separadores dobles"}},"category":"So"},{"key":"2580","mappings":{"default":{"default":"bloque mitad superior"}},"category":"So"},{"key":"2584","mappings":{"default":{"default":"bloque mitad inferior"}},"category":"So"},{"key":"2588","mappings":{"default":{"default":"bloque"}},"category":"So"},{"key":"2591","mappings":{"default":{"default":"sombra ligera"}},"category":"So"},{"key":"2592","mappings":{"default":{"default":"sombra media"}},"category":"So"},{"key":"2593","mappings":{"default":{"default":"sombra intensa"}},"category":"So"},{"key":"25A0","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25A1","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"key":"25AA","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25AB","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"key":"25AD","mappings":{"default":{"default":"rectángulo"}},"category":"So"},{"key":"25AE","mappings":{"default":{"default":"rectángulo relleno vertical"}},"category":"So"},{"key":"25AF","mappings":{"default":{"default":"rectángulo vertical"}},"category":"So"},{"key":"25B1","mappings":{"default":{"default":"paralelogramo"}},"category":"So"},{"key":"25B2","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B3","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B4","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B5","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B6","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B7","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"Sm"},{"key":"25B8","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B9","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"So"},{"key":"25BC","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BD","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25BE","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BF","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25C0","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C1","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"Sm"},{"key":"25C2","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C3","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"So"},{"key":"25C4","mappings":{"default":{"default":"puntero relleno señala izquierda"}},"category":"So"},{"key":"25C5","mappings":{"default":{"default":"puntero señala izquierda"}},"category":"So"},{"key":"25C6","mappings":{"default":{"default":"diamante relleno"}},"category":"So"},{"key":"25C7","mappings":{"default":{"default":"diamante"}},"category":"So"},{"key":"25C8","mappings":{"default":{"default":"diamante vacío contiene diamante relleno"}},"category":"So"},{"key":"25C9","mappings":{"default":{"default":"ojo de pez"}},"category":"So"},{"key":"25CA","mappings":{"default":{"default":"rombo"}},"category":"So"},{"key":"25CB","mappings":{"default":{"default":"círculo vacío"}},"category":"So"},{"key":"25CC","mappings":{"default":{"default":"círculo punteado"}},"category":"So"},{"key":"25CD","mappings":{"default":{"default":"círculo con relleno vertical"}},"category":"So"},{"key":"25CE","mappings":{"default":{"default":"blanco"}},"category":"So"},{"key":"25CF","mappings":{"default":{"default":"círculo relleno"}},"category":"So"},{"key":"25D0","mappings":{"default":{"default":"círculo con mitad izquierda rellena"}},"category":"So"},{"key":"25D1","mappings":{"default":{"default":"círculo con mitad derecha rellena"}},"category":"So"},{"key":"25D2","mappings":{"default":{"default":"círculo con mitad inferior rellena"}},"category":"So"},{"key":"25D3","mappings":{"default":{"default":"círculo con mitad superior rellena"}},"category":"So"},{"key":"25D4","mappings":{"default":{"default":"círculo con cuadrante superior derecho relleno"}},"category":"So"},{"key":"25D5","mappings":{"default":{"default":"círculo con cuadrante superior izquierdo relleno"}},"category":"So"},{"key":"25D6","mappings":{"default":{"default":"semicírculo izquierdo relleno"}},"category":"So"},{"key":"25D7","mappings":{"default":{"default":"semicírculo derecho relleno"}},"category":"So"},{"key":"25D8","mappings":{"default":{"default":"bullet inversa"}},"category":"So"},{"key":"25D9","mappings":{"default":{"default":"círculo vacío inverso"}},"category":"So"},{"key":"25DA","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DB","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DC","mappings":{"default":{"default":"arco superior izquierda"}},"category":"So"},{"key":"25DD","mappings":{"default":{"default":"arco superior derecha"}},"category":"So"},{"key":"25DE","mappings":{"default":{"default":"arco inferior derecha"}},"category":"So"},{"key":"25DF","mappings":{"default":{"default":"arco inferior izquierda"}},"category":"So"},{"key":"25E0","mappings":{"default":{"default":"semicírculo superior"}},"category":"So"},{"key":"25E1","mappings":{"default":{"default":"semicírculo inferior"}},"category":"So"},{"key":"25E2","mappings":{"default":{"default":"triángulo inferior derecha relleno"}},"category":"So"},{"key":"25E3","mappings":{"default":{"default":"triángulo inferior izquierda relleno"}},"category":"So"},{"key":"25E4","mappings":{"default":{"default":"triángulo superior izquierda relleno"}},"category":"So"},{"key":"25E5","mappings":{"default":{"default":"triángulo superior derecha relleno"}},"category":"So"},{"key":"25E6","mappings":{"default":{"default":"composición"}},"category":"So"},{"key":"25E7","mappings":{"default":{"default":"cuadrado con mitad izquierda rellena"}},"category":"So"},{"key":"25E8","mappings":{"default":{"default":"cuadrado con mitad derecha rellena"}},"category":"So"},{"key":"25E9","mappings":{"default":{"default":"cuadrado con mitad superior izquierda rellena"}},"category":"So"},{"key":"25EA","mappings":{"default":{"default":"cuadrado con mitad inferior derecha rellena"}},"category":"So"},{"key":"25EB","mappings":{"default":{"default":"cuadrado con bisectriz"}},"category":"So"},{"key":"25EC","mappings":{"default":{"default":"triángulo vacío con punto"}},"category":"So"},{"key":"25ED","mappings":{"default":{"default":"triángulo apuntando arriba con mitad izquierda rellena"}},"category":"So"},{"key":"25EE","mappings":{"default":{"default":"triángulo apuntando arriba con mitad derecha rellena"}},"category":"So"},{"key":"25EF","mappings":{"default":{"default":"círculo grande"}},"category":"So"},{"key":"25F8","mappings":{"default":{"default":"triángulo superior izquierda"}},"category":"Sm"},{"key":"25F9","mappings":{"default":{"default":"triángulo superior derecha"}},"category":"Sm"},{"key":"25FA","mappings":{"default":{"default":"triángulo inferior izquierda"}},"category":"Sm"},{"key":"25FB","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FC","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FD","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FE","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FF","mappings":{"default":{"default":"triángulo inferior derecha"}},"category":"Sm"},{"key":"2B50","mappings":{"default":{"default":"estrella media vacía"}},"category":"So"},{"key":"2B51","mappings":{"default":{"default":"estrella pequeña rellena"}},"category":"So"},{"key":"2B52","mappings":{"default":{"default":"estrella pequeña vacía"}},"category":"So"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/math_harpoons.js b/extensions/a11y/mathmaps/es/symbols/math_harpoons.js
deleted file mode 100644
index 89c27eab8a..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/math_harpoons.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"21BC","mappings":{"default":{"default":"flecha izquierda con arpón arriba"}},"category":"So"},{"key":"21BD","mappings":{"default":{"default":"flecha izquierda con arpón debajo"}},"category":"So"},{"key":"21BE","mappings":{"default":{"default":"flecha arriba con arpón derecho"}},"category":"So"},{"key":"21BF","mappings":{"default":{"default":"flecha arriba con arpón izquierdo"}},"category":"So"},{"key":"21C0","mappings":{"default":{"default":"flecha derecha con arpón arriba"}},"category":"So"},{"key":"21C1","mappings":{"default":{"default":"flecha derecha con arpón debajo"}},"category":"So"},{"key":"21C2","mappings":{"default":{"default":"flecha abajo con arpón derecho"}},"category":"So"},{"key":"21C3","mappings":{"default":{"default":"flecha abajo con arpón izquierdo"}},"category":"So"},{"key":"21CB","mappings":{"default":{"default":"arpón izquierdo arriba de arpón derecho"}},"category":"So"},{"key":"21CC","mappings":{"default":{"default":"arpón derecho arriba de arpón izquierdo"}},"category":"So"},{"key":"294A","mappings":{"default":{"default":"left barb up right barb down harpoon"}},"category":"Sm"},{"key":"294B","mappings":{"default":{"default":"left barb down right barb up harpoon"}},"category":"Sm"},{"key":"294E","mappings":{"default":{"default":"left barb up right barb up harpoon"}},"category":"Sm"},{"key":"294F","mappings":{"default":{"default":"arpón a la derecha hacia arriba y abajo"}},"category":"Sm"},{"key":"2950","mappings":{"default":{"default":"left barb down right barb down harpoon"}},"category":"Sm"},{"key":"2951","mappings":{"default":{"default":"arpón a la izquierda hacia arriba y abajo"}},"category":"Sm"},{"key":"2952","mappings":{"default":{"default":"leftwards harpoon to bar with barb upwards"}},"category":"Sm"},{"key":"2953","mappings":{"default":{"default":"rightwards harpoon to bar with barb upwards"}},"category":"Sm"},{"key":"2954","mappings":{"default":{"default":"upwards harpoon to bar with barb rightwards"}},"category":"Sm"},{"key":"2955","mappings":{"default":{"default":"downwards harpoon to bar with barb rightwards"}},"category":"Sm"},{"key":"2956","mappings":{"default":{"default":"leftwards harpoon to bar with barb downwards"}},"category":"Sm"},{"key":"2957","mappings":{"default":{"default":"rightwards harpoon to bar with barb downwards"}},"category":"Sm"},{"key":"2958","mappings":{"default":{"default":"upwards harpoon to bar with barb leftwards"}},"category":"Sm"},{"key":"2959","mappings":{"default":{"default":"downwards harpoon to bar with barb leftwards"}},"category":"Sm"},{"key":"295A","mappings":{"default":{"default":"leftwards harpoon from bar with barb upwards"}},"category":"Sm"},{"key":"295B","mappings":{"default":{"default":"rightwards harpoon from bar with barb upwards"}},"category":"Sm"},{"key":"295C","mappings":{"default":{"default":"upwards harpoon from bar with barb rightwards"}},"category":"Sm"},{"key":"295D","mappings":{"default":{"default":"downwards harpoon from bar with barb rightwards"}},"category":"Sm"},{"key":"295E","mappings":{"default":{"default":"leftwards harpoon from bar with barb downwards"}},"category":"Sm"},{"key":"295F","mappings":{"default":{"default":"rightwards harpoon from bar with barb downwards"}},"category":"Sm"},{"key":"2960","mappings":{"default":{"default":"upwards harpoon from bar with barb leftwards"}},"category":"Sm"},{"key":"2961","mappings":{"default":{"default":"downwards harpoon from bar with barb leftwards"}},"category":"Sm"},{"key":"2962","mappings":{"default":{"default":"leftwards harpoon with barb up above leftwards harpoon with barb down"}},"category":"Sm"},{"key":"2963","mappings":{"default":{"default":"upwards harpoon with barb left beside upwards harpoon with barb right"}},"category":"Sm"},{"key":"2964","mappings":{"default":{"default":"rightwards harpoon with barb up above rightwards harpoon with barb down"}},"category":"Sm"},{"key":"2965","mappings":{"default":{"default":"downwards harpoon with barb left beside downwards harpoon with barb right"}},"category":"Sm"},{"key":"2966","mappings":{"default":{"default":"leftwards harpoon with barb up above rightwards harpoon with barb up"}},"category":"Sm"},{"key":"2967","mappings":{"default":{"default":"leftwards harpoon with barb down above rightwards harpoon with barb down"}},"category":"Sm"},{"key":"2968","mappings":{"default":{"default":"rightwards harpoon with barb up above leftwards harpoon with barb up"}},"category":"Sm"},{"key":"2969","mappings":{"default":{"default":"rightwards harpoon with barb down above leftwards harpoon with barb down"}},"category":"Sm"},{"key":"296A","mappings":{"default":{"default":"barra con arpón hacia la izquierda"}},"category":"Sm"},{"key":"296B","mappings":{"default":{"default":"arpón hacia la izquierda con barra"}},"category":"Sm"},{"key":"296C","mappings":{"default":{"default":"barra con arpón hacia la derecha"}},"category":"Sm"},{"key":"296D","mappings":{"default":{"default":"arpón hacia la derecha con barra"}},"category":"Sm"},{"key":"296E","mappings":{"default":{"default":"upwards harpoon to the left of downwards harpoon"}},"category":"Sm"},{"key":"296F","mappings":{"default":{"default":"upwards harpoon to the right of downwards harpoon"}},"category":"Sm"},{"key":"297C","mappings":{"default":{"default":"left fish tail"}},"category":"Sm"},{"key":"297D","mappings":{"default":{"default":"right fish tail"}},"category":"Sm"},{"key":"297E","mappings":{"default":{"default":"barra con doble gancho"}},"category":"Sm"},{"key":"297F","mappings":{"default":{"default":"down fish tail"}},"category":"Sm"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/math_non_characters.js b/extensions/a11y/mathmaps/es/symbols/math_non_characters.js
deleted file mode 100644
index 78d2cf01ac..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/math_non_characters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"210F","mappings":{"default":{"default":"h barra"}},"category":"Ll"},{"key":"2116","mappings":{"default":{"default":"signo de número"}},"category":"So"},{"key":"2117","mappings":{"default":{"default":"derechos de autor de sonido"}},"category":"So"},{"key":"211E","mappings":{"default":{"default":"receta"}},"category":"So"},{"key":"2122","mappings":{"default":{"default":"registrado"}},"category":"So"},{"key":"2125","mappings":{"default":{"default":"onza"}},"category":"So"},{"key":"2126","mappings":{"default":{"default":"ohmio"}},"category":"Lu"},{"key":"2127","mappings":{"default":{"default":"ohmio invertido"}},"category":"So"},{"key":"212A","mappings":{"default":{"default":"grados kelvin"}},"category":"Lu"},{"key":"212B","mappings":{"default":{"default":"angstrom"}},"category":"Lu"},{"key":"2132","mappings":{"default":{"default":"mayúscula F invertida"}},"category":"Lu"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/math_symbols.js b/extensions/a11y/mathmaps/es/symbols/math_symbols.js
deleted file mode 100644
index 47a7095680..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/math_symbols.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"0021","mappings":{"default":{"default":"factorial"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"comillas"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"almuhadilla","defaultMP":"signo de número"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"dólar"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"porciento"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"ampersand"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"prima","defaultMP":"apóstrofo"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"por"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"más"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"coma"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"key":"002E","mappings":{"default":{"default":"punto"}},"category":"Po"},{"key":"002F","mappings":{"default":{"default":"barra oblicua"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"dos puntos"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"punto y coma"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"menor que"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"igual"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"mayor que"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"interrogación derecho","defaultMP":"cierra interrogación"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"arroba"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"barra inversa"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circunflejo"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"subrayado"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"acento grave"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"admiración izquierdo","defaultMP":"abre admiración"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"centavo"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"libra esterlina"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"moneda"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"barra vertical partida"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"sección"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"diéresis"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"ordinal femenino"}},"category":"Lo"},{"key":"00AB","mappings":{"default":{"default":"comillas angulares izquierda","defaultMP":"abre comillas angulares"}},"category":"Pi"},{"key":"00AC","mappings":{"default":{"default":"negación"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"registrado"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"barra"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"grado"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"más menos"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"acento agudo"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"micro"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"párrafo"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"punto medio"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"cedilla"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"ordinal masculino"}},"category":"Lo"},{"key":"00BB","mappings":{"default":{"default":"comillas angulares derecha","defaultMP":"cierra comillas angulares"}},"category":"Pf"},{"key":"00BF","mappings":{"default":{"default":"interrogación izquierdo","defaultMP":"abre interrogación"}},"category":"Po"},{"key":"00D7","mappings":{"default":{"default":"por"}},"category":"Sm"},{"key":"00F7","mappings":{"default":{"default":"dividido"}},"category":"Sm"},{"key":"02D8","mappings":{"default":{"default":"breve"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"punto en superescrito"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"anillo en superescrito"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"doble acento agudo"}},"category":"Sk"},{"key":"2010","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"key":"2013","mappings":{"default":{"default":"en raya"}},"category":"Pd"},{"key":"2014","mappings":{"default":{"default":"em raya"}},"category":"Pd"},{"key":"2015","mappings":{"default":{"default":"barra horizontal"}},"category":"Pd"},{"key":"2016","mappings":{"default":{"default":"doble barra vertical"}},"category":"Po"},{"key":"2018","mappings":{"default":{"default":"comilla izquierda"}},"category":"Pi"},{"key":"2019","mappings":{"default":{"default":"comilla derecha"}},"category":"Pf"},{"key":"201A","mappings":{"default":{"default":"comilla bajo 9"}},"category":"Ps"},{"key":"201C","mappings":{"default":{"default":"doble comilla"}},"category":"Pi"},{"key":"201D","mappings":{"default":{"default":"doble comilla derecha"}},"category":"Pf"},{"key":"201E","mappings":{"default":{"default":"doble comilla bajo 9"}},"category":"Ps"},{"key":"2020","mappings":{"default":{"default":"daga"}},"category":"Po"},{"key":"2021","mappings":{"default":{"default":"doble daga"}},"category":"Po"},{"key":"2022","mappings":{"default":{"default":"bala"}},"category":"Po"},{"key":"2025","mappings":{"default":{"default":"dos puntos líder"}},"category":"Po"},{"key":"2026","mappings":{"default":{"default":"puntos suspensivos"}},"category":"Po"},{"key":"2030","mappings":{"default":{"default":"tanto por millar"}},"category":"Po"},{"key":"2031","mappings":{"default":{"default":"tanto por diez mil"}},"category":"Po"},{"key":"2032","mappings":{"default":{"default":"prima"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"segunda"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"tercera"}},"category":"Po"},{"key":"2035","mappings":{"default":{"default":"acento grave"}},"category":"Po"},{"key":"2036","mappings":{"default":{"default":"doble acento grave"}},"category":"Po"},{"key":"2039","mappings":{"default":{"default":"comillas izquierda","defaultMP":"abre comillas"}},"category":"Pi"},{"key":"203A","mappings":{"default":{"default":"comillas derecha","defaultMP":"cierra comillas"}},"category":"Pf"},{"key":"203E","mappings":{"default":{"default":"barra superior"}},"category":"Po"},{"key":"2040","mappings":{"default":{"default":"ligadura"}},"category":"Pc"},{"key":"2041","mappings":{"default":{"default":"punto de inserción"}},"category":"Po"},{"key":"2043","mappings":{"default":{"default":"guión bala"}},"category":"Po"},{"key":"2044","mappings":{"default":{"default":"barra de fracción"}},"category":"Sm"},{"key":"204F","mappings":{"default":{"default":"punto y coma invertido"}},"category":"Po"},{"key":"2050","mappings":{"default":{"default":"cierre superior"}},"category":"Po"},{"key":"2057","mappings":{"default":{"default":"cuarta"}},"category":"Po"},{"key":"2200","mappings":{"default":{"default":"para todo"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"complementario"}},"category":"Sm"},{"key":"2202","mappings":{"default":{"default":"derivada parcial"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"existe"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"no existe"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"conjunto vacío"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"incremento"}},"category":"Sm"},{"key":"2207","mappings":{"default":{"default":"gradiente"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"no perteneciente a"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"no comprende a"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"fin de demostración"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"producto"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"sumatorio"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"menos más"}},"category":"Sm"},{"key":"2214","mappings":{"default":{"default":"punto más"}},"category":"Sm"},{"key":"2215","mappings":{"default":{"default":"barra de división"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"asterisco"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"composición"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"bala"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"raíz"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"raíz cúbica"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"raíz cuarta"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proporcional a"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"infinito"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"ángulo recto"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"ángulo"}},"category":"Sm"},{"key":"2221","mappings":{"default":{"default":"ángulo medido"}},"category":"Sm"},{"key":"2222","mappings":{"default":{"default":"ángulo esférico"}},"category":"Sm"},{"key":"2223","mappings":{"default":{"default":"divide a"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"no divide a"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"paralela a"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"no paralela a"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"integral"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"integral doble"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"integral triple"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"integral de contorno"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"integral de superficie"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"integral de volumen"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"integral de contorno en sentido antihorario"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"por lo tanto"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"porque"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"razón"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"proporción"}},"category":"Sm"},{"key":"2238","mappings":{"default":{"default":"punto menos"}},"category":"Sm"},{"key":"2239","mappings":{"default":{"default":"exceso"}},"category":"Sm"},{"key":"223A","mappings":{"default":{"default":"proporción geométrica"}},"category":"Sm"},{"key":"223B","mappings":{"default":{"default":"homotecia"}},"category":"Sm"},{"key":"223C","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"223D","mappings":{"default":{"default":"tilde invertido"}},"category":"Sm"},{"key":"223E","mappings":{"default":{"default":"s horizontal invertida"}},"category":"Sm"},{"key":"223F","mappings":{"default":{"default":"sinusoide"}},"category":"Sm"},{"key":"2240","mappings":{"default":{"default":"producto de guirnalda"}},"category":"Sm"},{"key":"2241","mappings":{"default":{"default":"no tilde"}},"category":"Sm"},{"key":"2242","mappings":{"default":{"default":"menos tilde"}},"category":"Sm"},{"key":"2243","mappings":{"default":{"default":"asintóticamente igual a"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"no asintóticamente igual a"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"aproximadamente igual a"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"aproximado pero no igual a"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"no aproximado a"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"aproximado","defaultMP":"casi igual a"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"no es casi igual a"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"igual o casi igual a"}},"category":"Sm"},{"key":"224B","mappings":{"default":{"default":"triple tilde"}},"category":"Sm"},{"key":"224C","mappings":{"default":{"default":"todo igual a"}},"category":"Sm"},{"key":"224D","mappings":{"default":{"default":"equivalente a"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"geométricamente equivalente a"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"se acerca al límite"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"geométricamente igual a"}},"category":"Sm"},{"key":"2252","mappings":{"default":{"default":"aproximadamente igual a o imagen de"}},"category":"Sm"},{"key":"2253","mappings":{"default":{"default":"imagen de o aproximadamente igual a"}},"category":"Sm"},{"key":"2254","mappings":{"default":{"default":"dos puntos igual"}},"category":"Sm"},{"key":"2255","mappings":{"default":{"default":"igual dos puntos"}},"category":"Sm"},{"key":"2256","mappings":{"default":{"default":"igual incluyendo anillo"}},"category":"Sm"},{"key":"2257","mappings":{"default":{"default":"igual anillo a"}},"category":"Sm"},{"key":"2258","mappings":{"default":{"default":"corresponde a"}},"category":"Sm"},{"key":"2259","mappings":{"default":{"default":"estima a"}},"category":"Sm"},{"key":"225A","mappings":{"default":{"default":"equiangular con"}},"category":"Sm"},{"key":"225B","mappings":{"default":{"default":"igual con estrella"}},"category":"Sm"},{"key":"225C","mappings":{"default":{"default":"igual con delta"}},"category":"Sm"},{"key":"225D","mappings":{"default":{"default":"igual por definición a"}},"category":"Sm"},{"key":"225E","mappings":{"default":{"default":"medido por"}},"category":"Sm"},{"key":"225F","mappings":{"default":{"default":"igual con interrogante"}},"category":"Sm"},{"key":"2260","mappings":{"default":{"default":"no es igual a","defaultMP":"distinto de"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"idéntico a"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"no es idéntico a"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"estrictamente equivalente a"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"entre"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"no equivalente a"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"no menor que"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"no mayor que"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"no menor ni igual a"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"no mayor ni igual a"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"menor o equivalente a"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"mayor o equivalente a"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"no menor ni equivalente a"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"no mayor ni equivalente a"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"menor o mayor que"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"no menor ni mayor que"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"no mayor ni menor que"}},"category":"Sm"},{"key":"227A","mappings":{"default":{"default":"precede a"}},"category":"Sm"},{"key":"227B","mappings":{"default":{"default":"sigue a"}},"category":"Sm"},{"key":"227C","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"227D","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"227E","mappings":{"default":{"default":"precede o es equivalente a"}},"category":"Sm"},{"key":"227F","mappings":{"default":{"default":"sigue o es equivalente a"}},"category":"Sm"},{"key":"2280","mappings":{"default":{"default":"no precede a"}},"category":"Sm"},{"key":"2281","mappings":{"default":{"default":"no sigue a"}},"category":"Sm"},{"key":"2282","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"2283","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"2284","mappings":{"default":{"default":"no incluido en"}},"category":"Sm"},{"key":"2285","mappings":{"default":{"default":"no contiene a"}},"category":"Sm"},{"key":"2286","mappings":{"default":{"default":"incluido o igual a"}},"category":"Sm"},{"key":"2287","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"2288","mappings":{"default":{"default":"no incluido ni igual a"}},"category":"Sm"},{"key":"2289","mappings":{"default":{"default":"no contiene ni es igual a"}},"category":"Sm"},{"key":"228A","mappings":{"default":{"default":"incluido estrictamente en"}},"category":"Sm"},{"key":"228B","mappings":{"default":{"default":"contiene estrictamente a"}},"category":"Sm"},{"key":"228C","mappings":{"default":{"default":"familia de conjuntos"}},"category":"Sm"},{"key":"228D","mappings":{"default":{"default":"producto de familia de conjuntos"}},"category":"Sm"},{"key":"228E","mappings":{"default":{"default":"unión de familia de conjuntos"}},"category":"Sm"},{"key":"228F","mappings":{"default":{"default":"imagen cuadrada de"}},"category":"Sm"},{"key":"2290","mappings":{"default":{"default":"original cuadrado de"}},"category":"Sm"},{"key":"2291","mappings":{"default":{"default":"imagen cuadrada de o igual a"}},"category":"Sm"},{"key":"2292","mappings":{"default":{"default":"original cuadrado de o igual a"}},"category":"Sm"},{"key":"2293","mappings":{"default":{"default":"intersección cuadrada"}},"category":"Sm"},{"key":"2294","mappings":{"default":{"default":"unión cuadrada"}},"category":"Sm"},{"key":"2295","mappings":{"default":{"default":"más en círculo"}},"category":"Sm"},{"key":"2296","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"2297","mappings":{"default":{"default":"por en círculo"}},"category":"Sm"},{"key":"2298","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"2299","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"229A","mappings":{"default":{"default":"anillo en círculo"}},"category":"Sm"},{"key":"229B","mappings":{"default":{"default":"asterisco en círculo"}},"category":"Sm"},{"key":"229C","mappings":{"default":{"default":"igual en círculo"}},"category":"Sm"},{"key":"229D","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"229E","mappings":{"default":{"default":"más en cuadrado"}},"category":"Sm"},{"key":"229F","mappings":{"default":{"default":"menos en cuadrado"}},"category":"Sm"},{"key":"22A0","mappings":{"default":{"default":"veces en cuadrado"}},"category":"Sm"},{"key":"22A1","mappings":{"default":{"default":"punto en cuadrado"}},"category":"Sm"},{"key":"22A2","mappings":{"default":{"default":"t horizontal hacia la izquierda"}},"category":"Sm"},{"key":"22A3","mappings":{"default":{"default":"t horizontal hacia la derecha"}},"category":"Sm"},{"key":"22A4","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"22A5","mappings":{"default":{"default":"perpendicular invertida"}},"category":"Sm"},{"key":"22A6","mappings":{"default":{"default":"afirmación"}},"category":"Sm"},{"key":"22A7","mappings":{"default":{"default":"modela"}},"category":"Sm"},{"key":"22A8","mappings":{"default":{"default":"verdadero"}},"category":"Sm"},{"key":"22A9","mappings":{"default":{"default":"obliga"}},"category":"Sm"},{"key":"22AA","mappings":{"default":{"default":"triple barra vertical torniquete derecho"}},"category":"Sm"},{"key":"22AB","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho"}},"category":"Sm"},{"key":"22AC","mappings":{"default":{"default":"no prueba"}},"category":"Sm"},{"key":"22AD","mappings":{"default":{"default":"falso"}},"category":"Sm"},{"key":"22AE","mappings":{"default":{"default":"no obliga"}},"category":"Sm"},{"key":"22AF","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho negada"}},"category":"Sm"},{"key":"22B0","mappings":{"default":{"default":"precede respecto de"}},"category":"Sm"},{"key":"22B1","mappings":{"default":{"default":"sigue respecto de"}},"category":"Sm"},{"key":"22B2","mappings":{"default":{"default":"subgrupo normal de"}},"category":"Sm"},{"key":"22B3","mappings":{"default":{"default":"contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22B4","mappings":{"default":{"default":"subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B5","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B6","mappings":{"default":{"default":"original de"}},"category":"Sm"},{"key":"22B7","mappings":{"default":{"default":"imagen de"}},"category":"Sm"},{"key":"22B8","mappings":{"default":{"default":"multifunción"}},"category":"Sm"},{"key":"22B9","mappings":{"default":{"default":"matriz hermitiana conjugada"}},"category":"Sm"},{"key":"22BA","mappings":{"default":{"default":"interpola"}},"category":"Sm"},{"key":"22BB","mappings":{"default":{"default":"o excluyente"}},"category":"Sm"},{"key":"22BC","mappings":{"default":{"default":"no y"}},"category":"Sm"},{"key":"22BD","mappings":{"default":{"default":"no o"}},"category":"Sm"},{"key":"22BF","mappings":{"default":{"default":"triángulo rectángulo"}},"category":"Sm"},{"key":"22C0","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"22C1","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"22C2","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"22C3","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"22C4","mappings":{"default":{"default":"operador diamante"}},"category":"Sm"},{"key":"22C5","mappings":{"default":{"default":"punto"}},"category":"Sm"},{"key":"22C6","mappings":{"default":{"default":"estrella"}},"category":"Sm"},{"key":"22C7","mappings":{"default":{"default":"dividido por"}},"category":"Sm"},{"key":"22C8","mappings":{"default":{"default":"moño"}},"category":"Sm"},{"key":"22C9","mappings":{"default":{"default":"factor normal izquierdo producto semidirecto"}},"category":"Sm"},{"key":"22CA","mappings":{"default":{"default":"factor normal derecho producto semidirecto"}},"category":"Sm"},{"key":"22CB","mappings":{"default":{"default":"producto semidirecto izquierdo"}},"category":"Sm"},{"key":"22CC","mappings":{"default":{"default":"producto semidirecto derecho"}},"category":"Sm"},{"key":"22CD","mappings":{"default":{"default":"tilde invertida igual a"}},"category":"Sm"},{"key":"22CE","mappings":{"default":{"default":"o rizada"}},"category":"Sm"},{"key":"22CF","mappings":{"default":{"default":"y rizada"}},"category":"Sm"},{"key":"22D0","mappings":{"default":{"default":"doble incluido"}},"category":"Sm"},{"key":"22D1","mappings":{"default":{"default":"doble contiene"}},"category":"Sm"},{"key":"22D2","mappings":{"default":{"default":"doble intersección"}},"category":"Sm"},{"key":"22D3","mappings":{"default":{"default":"doble unión"}},"category":"Sm"},{"key":"22D4","mappings":{"default":{"default":"bieldo"}},"category":"Sm"},{"key":"22D5","mappings":{"default":{"default":"paralela o igual a"}},"category":"Sm"},{"key":"22D6","mappings":{"default":{"default":"menor que con punto"}},"category":"Sm"},{"key":"22D7","mappings":{"default":{"default":"mayor que con punto"}},"category":"Sm"},{"key":"22D8","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"22D9","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"22DA","mappings":{"default":{"default":"menor igual o mayor que"}},"category":"Sm"},{"key":"22DB","mappings":{"default":{"default":"mayor igual o menor que"}},"category":"Sm"},{"key":"22DC","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"22DD","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"22DE","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"22DF","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"22E0","mappings":{"default":{"default":"no precede ni es igual a"}},"category":"Sm"},{"key":"22E1","mappings":{"default":{"default":"no sigue ni es igual a"}},"category":"Sm"},{"key":"22E2","mappings":{"default":{"default":"no es imagen cuadrada ni igual a"}},"category":"Sm"},{"key":"22E3","mappings":{"default":{"default":"no es original cuadrada ni igual a"}},"category":"Sm"},{"key":"22E4","mappings":{"default":{"default":"imagen cuadrada estricta"}},"category":"Sm"},{"key":"22E5","mappings":{"default":{"default":"original cuadrada estricta"}},"category":"Sm"},{"key":"22E6","mappings":{"default":{"default":"menor que no equivalente a"}},"category":"Sm"},{"key":"22E7","mappings":{"default":{"default":"mayor que no equivalente a"}},"category":"Sm"},{"key":"22E8","mappings":{"default":{"default":"precede no equivalente a"}},"category":"Sm"},{"key":"22E9","mappings":{"default":{"default":"sigue no equivalente a"}},"category":"Sm"},{"key":"22EA","mappings":{"default":{"default":"no subgrupo normal de"}},"category":"Sm"},{"key":"22EB","mappings":{"default":{"default":"no contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22EC","mappings":{"default":{"default":"no es subgrupo normal ni igual a"}},"category":"Sm"},{"key":"22ED","mappings":{"default":{"default":"no contiene como subgrupo normal ni es igual a"}},"category":"Sm"},{"key":"22EE","mappings":{"default":{"default":"puntos suspensivos verticales"}},"category":"Sm"},{"key":"22EF","mappings":{"default":{"default":"puntos suspensivos altos"}},"category":"Sm"},{"key":"22F0","mappings":{"default":{"default":"puntos suspensivos diagonales subiendo"}},"category":"Sm"},{"key":"22F1","mappings":{"default":{"default":"puntos suspensivos diagonales bajando"}},"category":"Sm"},{"key":"22F2","mappings":{"default":{"default":"pertenece con trazo horizontal"}},"category":"Sm"},{"key":"22F3","mappings":{"default":{"default":"pertenece con barra vertical al fin de raya horizontal"}},"category":"Sm"},{"key":"22F4","mappings":{"default":{"default":"pertenece en pequeño con trazo vertical"}},"category":"Sm"},{"key":"22F5","mappings":{"default":{"default":"pertenece con punto arriba"}},"category":"Sm"},{"key":"22F6","mappings":{"default":{"default":"pertenece con barra arriba"}},"category":"Sm"},{"key":"22F7","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F8","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F9","mappings":{"default":{"default":"pertenece con dos trazos horizontales"}},"category":"Sm"},{"key":"22FA","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"22FB","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FC","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FD","mappings":{"default":{"default":"contiene con barra"}},"category":"Sm"},{"key":"22FE","mappings":{"default":{"default":"perteneciente con barra"}},"category":"Sm"},{"key":"22FF","mappings":{"default":{"default":"z anotación asociación de bolsa"}},"category":"Sm"},{"key":"2300","mappings":{"default":{"default":"diámetro"}},"category":"So"},{"key":"2302","mappings":{"default":{"default":"casa"}},"category":"So"},{"key":"2305","mappings":{"default":{"default":"en proyectividad con"}},"category":"So"},{"key":"2306","mappings":{"default":{"default":"en perspectividad con"}},"category":"So"},{"key":"2310","mappings":{"default":{"default":"no invertido"}},"category":"So"},{"key":"2312","mappings":{"default":{"default":"arco"}},"category":"So"},{"key":"2313","mappings":{"default":{"default":"segmento"}},"category":"So"},{"key":"27C1","mappings":{"default":{"default":"triángulo encerrando triángulo"}},"category":"Sm"},{"key":"27C2","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27C3","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"27C4","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"27C7","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"27C8","mappings":{"default":{"default":"atrás tajo antes de subconjunto"}},"category":"Sm"},{"key":"27C9","mappings":{"default":{"default":"sobreconjunto antes de tajo"}},"category":"Sm"},{"key":"27CA","mappings":{"default":{"default":"barra vertical con golpe horizontal"}},"category":"Sm"},{"key":"27CC","mappings":{"default":{"default":"división larga"}},"category":"Sm"},{"key":"27D1","mappings":{"default":{"default":"y con punto interior"}},"category":"Sm"},{"key":"27D2","mappings":{"default":{"default":"elemento de apertura hacia arriba"}},"category":"Sm"},{"key":"27D3","mappings":{"default":{"default":"ángulo inferior derecho con punto"}},"category":"Sm"},{"key":"27D4","mappings":{"default":{"default":"ángulo inferior izquierdo con punto"}},"category":"Sm"},{"key":"27D5","mappings":{"default":{"default":"izquierdo exterior une"}},"category":"Sm"},{"key":"27D6","mappings":{"default":{"default":"derecho exterior une"}},"category":"Sm"},{"key":"27D7","mappings":{"default":{"default":"lleno exterior une"}},"category":"Sm"},{"key":"27D8","mappings":{"default":{"default":"perpendicular inversa"}},"category":"Sm"},{"key":"27D9","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27DA","mappings":{"default":{"default":"izquierdo y derecho doble torniquete"}},"category":"Sm"},{"key":"27DB","mappings":{"default":{"default":"doble T horizontal"}},"category":"Sm"},{"key":"27DC","mappings":{"default":{"default":"multifunción por la izquierda"}},"category":"Sm"},{"key":"27DD","mappings":{"default":{"default":"T horizontal derecha larga"}},"category":"Sm"},{"key":"27DE","mappings":{"default":{"default":"T horizontal izquierda larga"}},"category":"Sm"},{"key":"27DF","mappings":{"default":{"default":"perpendicular inversa con círculo arriba"}},"category":"Sm"},{"key":"27E0","mappings":{"default":{"default":"pastilla dividida por regla horizontal"}},"category":"Sm"},{"key":"27E1","mappings":{"default":{"default":"diamante cóncavo vacío"}},"category":"Sm"},{"key":"27E2","mappings":{"default":{"default":"diamante cóncavo con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E3","mappings":{"default":{"default":"diamante cóncavo con tictac hacia derecha"}},"category":"Sm"},{"key":"27E4","mappings":{"default":{"default":"cuadrado con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E5","mappings":{"default":{"default":"cuadrado con tictac hacia derecha"}},"category":"Sm"},{"key":"299A","mappings":{"default":{"default":"zigzag en vertical"}},"category":"Sm"},{"key":"29B0","mappings":{"default":{"default":"conjunto vacío invertido"}},"category":"Sm"},{"key":"29B1","mappings":{"default":{"default":"conjunto vacío con barra"}},"category":"Sm"},{"key":"29B2","mappings":{"default":{"default":"conjunto vacío con círculo"}},"category":"Sm"},{"key":"29B5","mappings":{"default":{"default":"círculo con barra"}},"category":"Sm"},{"key":"29B6","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"29B7","mappings":{"default":{"default":"paralelas en círculo"}},"category":"Sm"},{"key":"29B9","mappings":{"default":{"default":"perpendicular en círculo"}},"category":"Sm"},{"key":"29BB","mappings":{"default":{"default":"x superimpresa en círculo"}},"category":"Sm"},{"key":"29BC","mappings":{"default":{"default":"circled anticlockwise rotated division"}},"category":"Sm"},{"key":"29BE","mappings":{"default":{"default":"bullet vacía en círculo"}},"category":"Sm"},{"key":"29BF","mappings":{"default":{"default":"bullet en círculo"}},"category":"Sm"},{"key":"29C0","mappings":{"default":{"default":"menor que en círculo"}},"category":"Sm"},{"key":"29C1","mappings":{"default":{"default":"mayor que en círculo"}},"category":"Sm"},{"key":"29C2","mappings":{"default":{"default":"círculo con círculo a la derecha"}},"category":"Sm"},{"key":"29C3","mappings":{"default":{"default":"circle with two horizontal strokes to the right"}},"category":"Sm"},{"key":"29C4","mappings":{"default":{"default":"cuadrado con diagonal ascendente"}},"category":"Sm"},{"key":"29C5","mappings":{"default":{"default":"cuadrado con diagonal descendente"}},"category":"Sm"},{"key":"29C9","mappings":{"default":{"default":"dos cuadrados unidos"}},"category":"Sm"},{"key":"29CD","mappings":{"default":{"default":"triangle with serifs at bottom"}},"category":"Sm"},{"key":"29CE","mappings":{"default":{"default":"triángulo hacia la derecha sobre triángulo hacia la izquierda"}},"category":"Sm"},{"key":"29CF","mappings":{"default":{"default":"subgrupo normal o igual a"}},"category":"Sm"},{"key":"29D0","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"key":"29DC","mappings":{"default":{"default":"infinito incompleto"}},"category":"Sm"},{"key":"29DE","mappings":{"default":{"default":"no infinito"}},"category":"Sm"},{"key":"29E3","mappings":{"default":{"default":"igual tachado doble "}},"category":"Sm"},{"key":"29E4","mappings":{"default":{"default":"igual con tilde, con doble tachado"}},"category":"Sm"},{"key":"29E5","mappings":{"default":{"default":"idéntico a con doble tachado"}},"category":"Sm"},{"key":"29EB","mappings":{"default":{"default":"rombo relleno"}},"category":"Sm"},{"key":"29F4","mappings":{"default":{"default":"rule delayed"}},"category":"Sm"},{"key":"29F6","mappings":{"default":{"default":"solidus with overbar"}},"category":"Sm"},{"key":"2A0C","mappings":{"default":{"default":"operador integral cuádruple"}},"category":"Sm"},{"key":"2A0D","mappings":{"default":{"default":"finite part integral"}},"category":"Sm"},{"key":"2A10","mappings":{"default":{"default":"circulation function"}},"category":"Sm"},{"key":"2A11","mappings":{"default":{"default":"integral en sentido antihorario"}},"category":"Sm"},{"key":"2A12","mappings":{"default":{"default":"integral lineal para rectángulo en polo"}},"category":"Sm"},{"key":"2A13","mappings":{"default":{"default":"integral lineal para semicírculo en polo"}},"category":"Sm"},{"key":"2A14","mappings":{"default":{"default":"integral lineal excluyendo el polo"}},"category":"Sm"},{"key":"2A15","mappings":{"default":{"default":"integral en torno de un punto operador"}},"category":"Sm"},{"key":"2A16","mappings":{"default":{"default":"operador integral para cuaterniones"}},"category":"Sm"},{"key":"2A22","mappings":{"default":{"default":"más con círculo"}},"category":"Sm"},{"key":"2A23","mappings":{"default":{"default":"más con ángulo"}},"category":"Sm"},{"key":"2A24","mappings":{"default":{"default":"tilde con más suscrito"}},"category":"Sm"},{"key":"2A25","mappings":{"default":{"default":"más con punto inferior"}},"category":"Sm"},{"key":"2A26","mappings":{"default":{"default":"tilde con más"}},"category":"Sm"},{"key":"2A27","mappings":{"default":{"default":"más con 2 suscrito"}},"category":"Sm"},{"key":"2A29","mappings":{"default":{"default":"menos con coma"}},"category":"Sm"},{"key":"2A2A","mappings":{"default":{"default":"menos con punto inferior"}},"category":"Sm"},{"key":"2A2D","mappings":{"default":{"default":"más en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A2E","mappings":{"default":{"default":"más en semicírculo derecho"}},"category":"Sm"},{"key":"2A2F","mappings":{"default":{"default":"producto vectorial"}},"category":"Sm"},{"key":"2A30","mappings":{"default":{"default":"por con punto"}},"category":"Sm"},{"key":"2A31","mappings":{"default":{"default":"por con subrayado"}},"category":"Sm"},{"key":"2A33","mappings":{"default":{"default":"smash product"}},"category":"Sm"},{"key":"2A34","mappings":{"default":{"default":"por en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A35","mappings":{"default":{"default":"por en semicírculo derecho"}},"category":"Sm"},{"key":"2A36","mappings":{"default":{"default":"por en círculo con ángulo"}},"category":"Sm"},{"key":"2A37","mappings":{"default":{"default":"por en anillo"}},"category":"Sm"},{"key":"2A38","mappings":{"default":{"default":"división en círculo"}},"category":"Sm"},{"key":"2A39","mappings":{"default":{"default":"más en triángulo"}},"category":"Sm"},{"key":"2A3A","mappings":{"default":{"default":"menos en triángulo"}},"category":"Sm"},{"key":"2A3B","mappings":{"default":{"default":"por en triángulo"}},"category":"Sm"},{"key":"2A3C","mappings":{"default":{"default":"producto interior"}},"category":"Sm"},{"key":"2A3F","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2A40","mappings":{"default":{"default":"intersección con punto"}},"category":"Sm"},{"key":"2A42","mappings":{"default":{"default":"unión con barra"}},"category":"Sm"},{"key":"2A43","mappings":{"default":{"default":"intersección con barra"}},"category":"Sm"},{"key":"2A44","mappings":{"default":{"default":"intersección con and"}},"category":"Sm"},{"key":"2A45","mappings":{"default":{"default":"unión con or"}},"category":"Sm"},{"key":"2A46","mappings":{"default":{"default":"unión sobre intersección"}},"category":"Sm"},{"key":"2A47","mappings":{"default":{"default":"intersección sobre unión"}},"category":"Sm"},{"key":"2A48","mappings":{"default":{"default":"unión sobre barra, sobre intersección"}},"category":"Sm"},{"key":"2A49","mappings":{"default":{"default":"intersección sobre barra, sobre unión "}},"category":"Sm"},{"key":"2A4A","mappings":{"default":{"default":"unión y unión"}},"category":"Sm"},{"key":"2A4B","mappings":{"default":{"default":"intersección e intersección"}},"category":"Sm"},{"key":"2A4C","mappings":{"default":{"default":"unión cerrada"}},"category":"Sm"},{"key":"2A4D","mappings":{"default":{"default":"intersección cerrada"}},"category":"Sm"},{"key":"2A50","mappings":{"default":{"default":"unión cerrada con por"}},"category":"Sm"},{"key":"2A53","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2A55","mappings":{"default":{"default":"two intersecting logical and"}},"category":"Sm"},{"key":"2A56","mappings":{"default":{"default":"two intersecting logical or"}},"category":"Sm"},{"key":"2A57","mappings":{"default":{"default":"sloping large or"}},"category":"Sm"},{"key":"2A58","mappings":{"default":{"default":"sloping large and"}},"category":"Sm"},{"key":"2A5A","mappings":{"default":{"default":"logical and with middle stem"}},"category":"Sm"},{"key":"2A5B","mappings":{"default":{"default":"logical or with middle stem"}},"category":"Sm"},{"key":"2A5C","mappings":{"default":{"default":"logical and with horizontal dash"}},"category":"Sm"},{"key":"2A5D","mappings":{"default":{"default":"logical or with horizontal dash"}},"category":"Sm"},{"key":"2A5F","mappings":{"default":{"default":"logical and with underbar"}},"category":"Sm"},{"key":"2A66","mappings":{"default":{"default":"igual con punto suscrito"}},"category":"Sm"},{"key":"2A6A","mappings":{"default":{"default":"tilde con punto"}},"category":"Sm"},{"key":"2A6D","mappings":{"default":{"default":"congruente con punto"}},"category":"Sm"},{"key":"2A6F","mappings":{"default":{"default":"casi igual con ángulo"}},"category":"Sm"},{"key":"2A71","mappings":{"default":{"default":"igual con más suscrito"}},"category":"Sm"},{"key":"2A72","mappings":{"default":{"default":"igual con más"}},"category":"Sm"},{"key":"2A73","mappings":{"default":{"default":"igual con operador tilde"}},"category":"Sm"},{"key":"2A74","mappings":{"default":{"default":"igual con dos puntos"}},"category":"Sm"},{"key":"2A75","mappings":{"default":{"default":"igual doble"}},"category":"Sm"},{"key":"2A77","mappings":{"default":{"default":"igual entre cuatro puntos"}},"category":"Sm"},{"key":"2A78","mappings":{"default":{"default":"equivalente con cuatro puntos"}},"category":"Sm"},{"key":"2A79","mappings":{"default":{"default":"menor que con círculo interior"}},"category":"Sm"},{"key":"2A7A","mappings":{"default":{"default":"mayor que con círculo interior"}},"category":"Sm"},{"key":"2A7B","mappings":{"default":{"default":"menor que con interrogante"}},"category":"Sm"},{"key":"2A7C","mappings":{"default":{"default":"mayor que con interrogante"}},"category":"Sm"},{"key":"2A7D","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2A7E","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"2A7F","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A80","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A81","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A82","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"key":"2A83","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A84","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"key":"2A89","mappings":{"default":{"default":"menor que, pero no aproximado a"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"mayor que, pero no aproximado a"}},"category":"Sm"},{"key":"2A8D","mappings":{"default":{"default":"menor, similar o igual a"}},"category":"Sm"},{"key":"2A8E","mappings":{"default":{"default":"mayor, similar o igual a"}},"category":"Sm"},{"key":"2A8F","mappings":{"default":{"default":"menor, similar o mayor que"}},"category":"Sm"},{"key":"2A90","mappings":{"default":{"default":"mayor, similar o menor que"}},"category":"Sm"},{"key":"2A91","mappings":{"default":{"default":"menor, mayor o igual a"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"mayor, menor o igual a"}},"category":"Sm"},{"key":"2A93","mappings":{"default":{"default":"estrictamente menor o mayor que"}},"category":"Sm"},{"key":"2A94","mappings":{"default":{"default":"estrictamente mayor o menor que"}},"category":"Sm"},{"key":"2A97","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A98","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A99","mappings":{"default":{"default":"menor o igual a"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"mayor o igual a"}},"category":"Sm"},{"key":"2A9D","mappings":{"default":{"default":"equivalente o menor que"}},"category":"Sm"},{"key":"2A9E","mappings":{"default":{"default":"mayor o similar a"}},"category":"Sm"},{"key":"2A9F","mappings":{"default":{"default":"similar, menor o igual a"}},"category":"Sm"},{"key":"2AA0","mappings":{"default":{"default":"similar, mayor o igual a"}},"category":"Sm"},{"key":"2AA1","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"2AA4","mappings":{"default":{"default":"menor que, mayor que"}},"category":"Sm"},{"key":"2AA5","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2AA6","mappings":{"default":{"default":"menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA7","mappings":{"default":{"default":"mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AA8","mappings":{"default":{"default":"estrictamente menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA9","mappings":{"default":{"default":"estrictamente mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AAA","mappings":{"default":{"default":"más reducido que"}},"category":"Sm"},{"key":"2AAB","mappings":{"default":{"default":"más amplio que"}},"category":"Sm"},{"key":"2AAC","mappings":{"default":{"default":"más reducido o igual a"}},"category":"Sm"},{"key":"2AAD","mappings":{"default":{"default":"más amplio o igual a"}},"category":"Sm"},{"key":"2AAE","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2AAF","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"2AB5","mappings":{"default":{"default":"precede estrictamente a"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"sigue estrictamente a"}},"category":"Sm"},{"key":"2ABB","mappings":{"default":{"default":"precede mucho antes"}},"category":"Sm"},{"key":"2ABC","mappings":{"default":{"default":"sigue mucho después"}},"category":"Sm"},{"key":"2ABD","mappings":{"default":{"default":"subrelación de"}},"category":"Sm"},{"key":"2ABE","mappings":{"default":{"default":"contiene como subrelación a"}},"category":"Sm"},{"key":"2ABF","mappings":{"default":{"default":"incluido con más suscrito"}},"category":"Sm"},{"key":"2AC0","mappings":{"default":{"default":"contiene con más suscrito"}},"category":"Sm"},{"key":"2AC1","mappings":{"default":{"default":"incluido con por suscrito"}},"category":"Sm"},{"key":"2AC2","mappings":{"default":{"default":"contiene con por suscrito"}},"category":"Sm"},{"key":"2AC3","mappings":{"default":{"default":"incluido con punto o es igual a"}},"category":"Sm"},{"key":"2AC4","mappings":{"default":{"default":"contiene con punto o es igual a"}},"category":"Sm"},{"key":"2AC7","mappings":{"default":{"default":"incluido aproximadamente en"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"contiene aproximadamente a"}},"category":"Sm"},{"key":"2ACF","mappings":{"default":{"default":"incluido con cierre en"}},"category":"Sm"},{"key":"2AD0","mappings":{"default":{"default":"contiene al cierre del subconjunto"}},"category":"Sm"},{"key":"2AD1","mappings":{"default":{"default":"incluido el cierre o es igual a"}},"category":"Sm"},{"key":"2AD2","mappings":{"default":{"default":"contiene al cierre del subconjunto o es igual a"}},"category":"Sm"},{"key":"2AD3","mappings":{"default":{"default":"está incluido o contiene a"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"incluido doblemente en"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"contiene doblemente a"}},"category":"Sm"},{"key":"2AD7","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD8","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD9","mappings":{"default":{"default":"perteneciente dirigido hacia abajo"}},"category":"Sm"},{"key":"2ADA","mappings":{"default":{"default":"pitchfork with tee top"}},"category":"Sm"},{"key":"2ADB","mappings":{"default":{"default":"transversal intersection"}},"category":"Sm"},{"key":"2AE4","mappings":{"default":{"default":"double left turnstile vertical bar"}},"category":"Sm"},{"key":"2AE6","mappings":{"default":{"default":"long dash from left member of double vertical"}},"category":"Sm"},{"key":"2AE7","mappings":{"default":{"default":"short down tack with overbar"}},"category":"Sm"},{"key":"2AE8","mappings":{"default":{"default":"barra con perpendicular"}},"category":"Sm"},{"key":"2AE9","mappings":{"default":{"default":"short up tack above short down tack"}},"category":"Sm"},{"key":"2AEB","mappings":{"default":{"default":"double up tack"}},"category":"Sm"},{"key":"2AEC","mappings":{"default":{"default":"double stroke not sign"}},"category":"Sm"},{"key":"2AED","mappings":{"default":{"default":"reversed double stroke not sign"}},"category":"Sm"},{"key":"2AEE","mappings":{"default":{"default":"does not divide with reversed negation slash"}},"category":"Sm"},{"key":"2AEF","mappings":{"default":{"default":"barra vertical con círculo"}},"category":"Sm"},{"key":"2AF0","mappings":{"default":{"default":"barra con círculo inferior"}},"category":"Sm"},{"key":"2AF1","mappings":{"default":{"default":"down tack with circle below"}},"category":"Sm"},{"key":"2AF2","mappings":{"default":{"default":"paralela con marca"}},"category":"Sm"},{"key":"2AF3","mappings":{"default":{"default":"paralela con tilde"}},"category":"Sm"},{"key":"FE68","mappings":{"default":{"default":"división entera"}},"category":"Po"},{"key":"FF5C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/math_whitespace.js b/extensions/a11y/mathmaps/es/symbols/math_whitespace.js
deleted file mode 100644
index d0a84b548c..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/math_whitespace.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"guión corto"}},"category":"Cf"},{"key":"2002","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2004","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2005","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2007","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2008","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"200C","mappings":{"default":{"default":"ancho de cero no ensamblador"}},"category":"Cf"},{"key":"200D","mappings":{"default":{"default":"ancho de cero ensamblador"}},"category":"Cf"},{"key":"200E","mappings":{"default":{"default":"marca de izquierda a derecha"}},"category":"Cf"},{"key":"200F","mappings":{"default":{"default":"marca de derecha a izquierda"}},"category":"Cf"},{"key":"205F","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2060","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"2061","mappings":{"default":{"default":"de"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":"por"}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":"coma"}},"category":"Cf"},{"key":"2064","mappings":{"default":{"default":"más"}},"category":"Cf"},{"key":"FEFF","mappings":{"default":{"default":""}},"category":"Cf"}]
diff --git a/extensions/a11y/mathmaps/es/symbols/other_stars.js b/extensions/a11y/mathmaps/es/symbols/other_stars.js
deleted file mode 100644
index ef2db11225..0000000000
--- a/extensions/a11y/mathmaps/es/symbols/other_stars.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"2605","mappings":{"default":{"default":"estrella rellena"}},"category":"So"},{"key":"2606","mappings":{"default":{"default":"estrella vacía"}},"category":"So"},{"key":"2713","mappings":{"default":{"default":"check mark"}},"category":"So"},{"key":"2717","mappings":{"default":{"default":"ballot x"}},"category":"So"},{"key":"2720","mappings":{"default":{"default":"cruz de Malta"}},"category":"So"},{"key":"2736","mappings":{"default":{"default":"estrella rellena de seis puntas"}},"category":"So"},{"key":"273D","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"category":"So"}]
diff --git a/extensions/a11y/mathmaps/es/units/energy.js b/extensions/a11y/mathmaps/es/units/energy.js
deleted file mode 100644
index b48322e465..0000000000
--- a/extensions/a11y/mathmaps/es/units/energy.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"W","names":["W","w"],"mappings":{"default":{"default":"watt"}},"category":"energy"},{"key":"kW","names":["kw","kW"],"mappings":{"default":{"default":"kilowatt"}},"category":"energy"},{"key":"mW","names":["mw","mW"],"mappings":{"default":{"default":"miliwatt"}},"category":"energy"},{"key":"kwh","names":["kwh","kWh"],"mappings":{"default":{"default":"kilowatt hora"}},"category":"energy"},{"key":"J","names":["J"],"mappings":{"default":{"default":"Joules"}},"category":"energy"},{"key":"N","names":["N"],"mappings":{"default":{"default":"Newton"}},"category":"energy"},{"key":"A","names":["A"],"mappings":{"default":{"default":"Ampere"}},"category":"energy"},{"key":"V","names":["V"],"mappings":{"default":{"default":"Voltio"}},"category":"energy"},{"key":"µΩ","names":["µΩ"],"mappings":{"default":{"default":"microohmio"}},"category":"energy"},{"key":"mΩ","names":["mΩ"],"mappings":{"default":{"default":"miliohmio"}},"category":"energy"},{"key":"Ω","names":["Ω","Ohm"],"mappings":{"default":{"default":"ohmio"}},"category":"energy"},{"key":"kΩ","names":["kΩ","KΩ"],"mappings":{"default":{"default":"kiloohmio"}},"category":"energy"},{"key":"MΩ","names":["MΩ"],"mappings":{"default":{"default":"megaohmio"}},"category":"energy"},{"key":"GΩ","names":["GΩ"],"mappings":{"default":{"default":"gigaohmio"}},"category":"energy"}]
diff --git a/extensions/a11y/mathmaps/es/units/length.js b/extensions/a11y/mathmaps/es/units/length.js
deleted file mode 100644
index 50ed29f34d..0000000000
--- a/extensions/a11y/mathmaps/es/units/length.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"mm","names":["mm"],"mappings":{"default":{"default":"milímetro"}},"category":"Length"},{"key":"cm","names":["cm"],"mappings":{"default":{"default":"centímetro"}},"category":"Length"},{"key":"m","names":["m"],"mappings":{"default":{"default":"metro"}},"category":"Length"},{"key":"km","names":["km"],"mappings":{"default":{"default":"kilómetro"}},"category":"Length"},{"key":"ft","names":["ft","ft."],"mappings":{"default":{"default":"pies"}},"category":"Length"},{"key":"in","names":["in","in."],"mappings":{"default":{"default":"pulgada"}},"category":"Length"},{"key":"mi","names":["mi","mi."],"mappings":{"default":{"default":"milla"}},"category":"Length"},{"key":"yd","names":["yd","yd."],"mappings":{"default":{"default":"yarda"}},"category":"Length"},{"key":"n.m.","names":["n.m."],"mappings":{"default":{"default":"millas náuticas"}}}]
diff --git a/extensions/a11y/mathmaps/es/units/memory.js b/extensions/a11y/mathmaps/es/units/memory.js
deleted file mode 100644
index 3c6546d4a6..0000000000
--- a/extensions/a11y/mathmaps/es/units/memory.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"b","names":["b"],"mappings":{"default":{"default":"bit"}}},{"key":"B","names":["B"],"mappings":{"default":{"default":"byte"}}},{"key":"KB","names":["KB"],"mappings":{"default":{"default":"kilobyte"}}},{"key":"MB","names":["MB"],"mappings":{"default":{"default":"megabyte"}}},{"key":"GB","names":["GB"],"mappings":{"default":{"default":"gigabyte"}}},{"key":"TB","names":["TB"],"mappings":{"default":{"default":"terabyte"}}}]
diff --git a/extensions/a11y/mathmaps/es/units/other.js b/extensions/a11y/mathmaps/es/units/other.js
deleted file mode 100644
index 39efb2ed4e..0000000000
--- a/extensions/a11y/mathmaps/es/units/other.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"doz","names":["doz","doz.","dz","dz."],"mappings":{"default":{"default":"docena"}}},{"key":"sq","names":["sq","sq."],"mappings":{"default":{"default":"al cuadrado"}}},{"key":"ha","names":["ha"],"mappings":{"default":{"default":"hectarea"}}}]
diff --git a/extensions/a11y/mathmaps/es/units/speed.js b/extensions/a11y/mathmaps/es/units/speed.js
deleted file mode 100644
index d129924e89..0000000000
--- a/extensions/a11y/mathmaps/es/units/speed.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"kt","names":["kt","kt."],"mappings":{"default":{"default":"nudo"}}},{"key":"mph","names":["mph"],"mappings":{"default":{"default":"millas por hora"}}},{"key":"rpm","names":["rpm"],"mappings":{"default":{"default":"revoluciones por minuto"}}},{"key":"kmh","names":["kmh"],"mappings":{"default":{"default":"kilómetros por hora"}}}]
diff --git a/extensions/a11y/mathmaps/es/units/temperature.js b/extensions/a11y/mathmaps/es/units/temperature.js
deleted file mode 100644
index a9d81c73d7..0000000000
--- a/extensions/a11y/mathmaps/es/units/temperature.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"F","names":["F","F.","°F"],"mappings":{"default":{"default":"Fahrenheit"}}},{"key":"C","names":["C","°C"],"mappings":{"default":{"default":"centígrados"}}},{"key":"K","names":["K","°K"],"mappings":{"default":{"default":"Kelvin"}}}]
diff --git a/extensions/a11y/mathmaps/es/units/time.js b/extensions/a11y/mathmaps/es/units/time.js
deleted file mode 100644
index 2cc4ead9c6..0000000000
--- a/extensions/a11y/mathmaps/es/units/time.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"ns","names":["ns"],"mappings":{"default":{"default":"nanosegundos"}},"category":"time"},{"key":"µs","names":["µs"],"mappings":{"default":{"default":"microsegundos"}},"category":"time"},{"key":"ms","names":["ms"],"mappings":{"default":{"default":"milisegundos"}},"category":"time"},{"key":"s","names":["s"],"mappings":{"default":{"default":"segundos"}},"category":"time"},{"key":"min","names":["min"],"mappings":{"default":{"default":"minutos"}},"category":"time"},{"key":"h","names":["h","hr"],"mappings":{"default":{"default":"hora"}},"category":"time"}]
diff --git a/extensions/a11y/mathmaps/es/units/volume.js b/extensions/a11y/mathmaps/es/units/volume.js
deleted file mode 100644
index 138fb9dba0..0000000000
--- a/extensions/a11y/mathmaps/es/units/volume.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"bbl","names":["bbl.","bbl"],"mappings":{"default":{"default":"barrile"}},"category":"volume"},{"key":"cu","names":["cu","cu."],"mappings":{"default":{"default":"cúbico"}},"category":"volume"},{"key":"fl. oz.","names":["fl. oz."],"mappings":{"default":{"default":"onzas líquidas"}},"category":"volume"},{"key":"gal","names":["gal","gal."],"mappings":{"default":{"default":"galone"}},"category":"volume"},{"key":"pt","names":["pt","pt."],"mappings":{"default":{"default":"pinta"}},"category":"volume"},{"key":"qt","names":["qt","qt."],"mappings":{"default":{"default":"quart"}},"category":"volume"},{"key":"tbsp","names":["tbsp","tbsp."],"mappings":{"default":{"default":"cuchara"}},"category":"volume"},{"key":"tsp","names":["tsp","tsp."],"mappings":{"default":{"default":"cucharilla"}},"category":"volume"},{"key":"cc","names":["cc"],"mappings":{"default":{"default":"centímetros cúbicos"}},"category":"volume"},{"key":"kl","names":["kl"],"mappings":{"default":{"default":"kilolitro"}},"category":"volume"},{"key":"l","names":["l"],"mappings":{"default":{"default":"litro"}},"category":"volume"},{"key":"ml","names":["ml"],"mappings":{"default":{"default":"mililitro"}},"category":"volume"}]
diff --git a/extensions/a11y/mathmaps/es/units/weight.js b/extensions/a11y/mathmaps/es/units/weight.js
deleted file mode 100644
index 6048fcf3c5..0000000000
--- a/extensions/a11y/mathmaps/es/units/weight.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"lb","names":["lb","lb."],"mappings":{"default":{"default":"libra"}}},{"key":"LT","names":["LT","L.T."],"mappings":{"default":{"default":"libras imperiales"}}},{"key":"oz","names":["oz","oz."],"mappings":{"default":{"default":"onza"}}},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"microgramo"}}},{"key":"gr","names":["g","gr"],"mappings":{"default":{"default":"gramo"}}},{"key":"kg","names":["kg"],"mappings":{"default":{"default":"kilogramo"}}},{"key":"mg","names":["mg"],"mappings":{"default":{"default":"miligramo"}}},{"key":"t","names":["t","T"],"mappings":{"default":{"default":"tonelada"}}}]
diff --git a/extensions/a11y/mathmaps/fr.js b/extensions/a11y/mathmaps/fr.js
new file mode 100644
index 0000000000..951111252d
--- /dev/null
+++ b/extensions/a11y/mathmaps/fr.js
@@ -0,0 +1,104 @@
+{
+"fr/functions/algebra.js": 
+[{"locale":"fr"},{"category":"Algebra","mappings":{"default":{"default":"degré"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"déterminant"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphisme"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"noyau"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]
+,
+"fr/functions/elementary.js": 
+[{"locale":"fr"},{"key":"log","mappings":{"default":{"default":"log"}},"category":"Logarithm","names":["log"]},{"key":"ln","mappings":{"default":{"default":"logarithme népérien"}},"category":"Logarithm","names":["ln"]},{"key":"lg","names":["lg"],"mappings":{"default":{"default":"logarithme décimal"}},"category":"Logarithm"},{"key":"exp","names":["exp","expt"],"mappings":{"default":{"default":"exponentielle"}},"category":"Elementary"},{"key":"gcd","names":["gcd","PGCD","pgcd"],"mappings":{"default":{"default":"plus grand commun diviseur"},"mathspeak":{"default":"pgcd"},"clearspeak":{"default":"pgcd"}},"category":"Elementary"},{"key":"lcm","names":["lcm","ppcm","PPCM","PPMC","ppmc"],"mappings":{"default":{"default":"plus petit commun multiple"},"mathspeak":{"default":"ppcm"},"clearspeak":{"default":"ppcm"}},"category":"Elementary"},{"key":"arg","names":["arg"],"mappings":{"default":{"default":"argument"}},"category":"Complex"},{"key":"im","names":["im"],"mappings":{"default":{"default":"partie imaginaire"}},"category":"Complex"},{"key":"re","names":["re"],"mappings":{"default":{"default":"partie réelle"}},"category":"Complex"},{"key":"inf","names":["inf"],"mappings":{"default":{"default":"borne inférieure"}},"category":"Limits"},{"key":"lim","mappings":{"default":{"default":"limite"}},"category":"Limits","names":["lim"]},{"key":"max","names":["max"],"mappings":{"default":{"default":"maximum"}},"category":"Limits"},{"key":"min","names":["min"],"mappings":{"default":{"default":"minimum"}},"category":"Limits"},{"key":"sup","names":["sup"],"mappings":{"default":{"default":"borne supérieure"}},"category":"Limits"},{"key":"lim inf","names":["lim inf","liminf"],"mappings":{"default":{"default":"limite inferior"}},"category":"Limits"},{"key":"lim sup","names":["lim sup","limsup"],"mappings":{"default":{"default":"limite superior"}},"category":"Limits"},{"key":"injlim","names":["injlim","inj lim"],"mappings":{"default":{"default":"limite inductive"}},"category":"Limits"},{"key":"projlim","names":["projlim","proj lim"],"mappings":{"default":{"default":"limite projective"}},"category":"Limits"},{"key":"mod","names":["mod"],"mappings":{"default":{"default":"modulo"}},"category":"Elementary"},{"key":"Pr","names":["Pr"],"mappings":{"default":{"default":"probabilité"}},"category":"Probability"}]
+,
+"fr/functions/hyperbolic.js": 
+[{"locale":"fr"},{"key":"cosh","mappings":{"default":{"default":"cosinus hyperbolique"}},"category":"Hyperbolic","names":["cosh"]},{"key":"coth","mappings":{"default":{"default":"cotangente hyperbolique"}},"category":"Hyperbolic","names":["coth"]},{"key":"csch","mappings":{"default":{"default":"cosécante hyperbolique"}},"category":"Hyperbolic","names":["csch"]},{"key":"sech","mappings":{"default":{"default":"sécante hyperbolique"}},"category":"Hyperbolic","names":["sech"]},{"key":"sinh","mappings":{"default":{"default":"sinus hyperbolique"}},"category":"Hyperbolic","names":["sinh"]},{"key":"tanh","mappings":{"default":{"default":"tangente hyperbolique"}},"category":"Hyperbolic","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"argument cosinus hyperbolique"}},"key":"arcosh","names":["arcosh","arccosh","argch"]},{"category":"Area","mappings":{"default":{"default":"argument cotangente hyperbolique"}},"key":"arcoth","names":["arcoth","arccoth","argcoth"]},{"category":"Area","mappings":{"default":{"default":"argument cosécante hyperbolique"}},"key":"arcsch","names":["arcsch","arccsch","argcsch"]},{"category":"Area","mappings":{"default":{"default":"argument sécante hyperbolique"}},"key":"arsech","names":["arsech","arcsech","argsech"]},{"category":"Area","mappings":{"default":{"default":"argument sinus hyperbolique"}},"key":"arsinh","names":["arsinh","arcsinh","argsh"]},{"category":"Area","mappings":{"default":{"default":"argument tangente hyperbolique"}},"key":"artanh","names":["artanh","arctanh","argth"]}]
+,
+"fr/functions/trigonometry.js": 
+[{"locale":"fr"},{"key":"cos","mappings":{"default":{"default":"cosinus"}},"category":"Trigonometric","names":["cos","cosine"]},{"key":"cot","mappings":{"default":{"default":"cotangente"}},"category":"Trigonometric","names":["cot"]},{"key":"csc","mappings":{"default":{"default":"cosécante"}},"category":"Trigonometric","names":["csc"]},{"key":"sec","mappings":{"default":{"default":"sécante"}},"category":"Trigonometric","names":["sec"]},{"key":"sin","mappings":{"default":{"default":"sinus"}},"category":"Trigonometric","names":["sin","sine"]},{"key":"tan","mappings":{"default":{"default":"tangente"}},"category":"Trigonometric","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosinus"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cotangente"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosécante"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc sécante"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc sinus"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc tangente"}},"key":"arctan","names":["arctan"]}]
+,
+"fr/symbols/digits_rest.js": 
+[{"locale":"fr"},{"key":"00B2","mappings":{"default":{"default":"au carré"},"mathspeak":{"default":"au carré"},"clearspeak":{"default":"au carré"}},"category":"No"},{"key":"00B3","mappings":{"default":{"default":"cubique"},"mathspeak":{"default":"cubique"},"clearspeak":{"default":"cubique"}},"category":"No"},{"key":"00BC","mappings":{"default":{"default":"un quart"}},"category":"No"},{"key":"00BD","mappings":{"default":{"default":"un demi"}},"category":"No"},{"key":"00BE","mappings":{"default":{"default":"trois quarts"}},"category":"No"},{"key":"2150","mappings":{"default":{"default":"un septième"}},"category":"No"},{"key":"2151","mappings":{"default":{"default":"un neuvième"}},"category":"No"},{"key":"2152","mappings":{"default":{"default":"un dixième"}},"category":"No"},{"key":"2153","mappings":{"default":{"default":"un tiers"}},"category":"No"},{"key":"2154","mappings":{"default":{"default":"deux tiers"}},"category":"No"},{"key":"2155","mappings":{"default":{"default":"un cinquième"}},"category":"No"},{"key":"2156","mappings":{"default":{"default":"deux cinquièmes"}},"category":"No"},{"key":"2157","mappings":{"default":{"default":"trois cinquièmes"}},"category":"No"},{"key":"2158","mappings":{"default":{"default":"quatre cinquièmes"}},"category":"No"},{"key":"2159","mappings":{"default":{"default":"un sixième"}},"category":"No"},{"key":"215A","mappings":{"default":{"default":"cinq sixièmes"}},"category":"No"},{"key":"215B","mappings":{"default":{"default":"un huitième"}},"category":"No"},{"key":"215C","mappings":{"default":{"default":"trois huitièmes"}},"category":"No"},{"key":"215D","mappings":{"default":{"default":"cinq huitièmes"}},"category":"No"},{"key":"215E","mappings":{"default":{"default":"sept huitièmes"}},"category":"No"},{"key":"215F","mappings":{"default":{"default":"numérateur un"}},"category":"No"},{"key":"2189","mappings":{"default":{"default":"zero tiers"}},"category":"No"},{"key":"3248","mappings":{"default":{"default":"dix cerclé sur carré noir"}},"category":"No"},{"key":"3249","mappings":{"default":{"default":"vingt cerclé sur carré noir"}},"category":"No"},{"key":"324A","mappings":{"default":{"default":"trente cerclé sur carré noir"}},"category":"No"},{"key":"324B","mappings":{"default":{"default":"quarante cerclé sur carré noir"}},"category":"No"},{"key":"324C","mappings":{"default":{"default":"cinquante cerclé sur carré noir"}},"category":"No"},{"key":"324D","mappings":{"default":{"default":"soixante cerclé sur carré noir"}},"category":"No"},{"key":"324E","mappings":{"default":{"default":"soixante dix cerclé sur carré noir"}},"category":"No"},{"key":"324F","mappings":{"default":{"default":"quatre vingts cerclé sur carré noir"}},"category":"No"}]
+,
+"fr/symbols/greek-rest.js": 
+[{"locale":"fr"},{"category":"Lu","key":"0394","mappings":{"clearspeak":{"default":"triangle","TriangleSymbol_Delta":"Delta majuscule"}}}]
+,
+"fr/symbols/greek-scripts.js": 
+[{"locale":"fr"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"petite gamma majuscule"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"petite lambda majuscule"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"petite pi majuscule"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"petite rhô majuscule"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"petite psi majuscule"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"gamma suscript"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"phi suscript"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"bêta souscrit"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"gamma souscrit"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"rhô souscrit"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"phi souscrit"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"khi souscrit"}}}]
+,
+"fr/symbols/greek-symbols.js": 
+[{"locale":"fr"},{"key":"03D0","mappings":{"default":{"default":"bêta grec"}},"category":"Ll"},{"key":"03D7","mappings":{"default":{"default":"ligature kai"}},"category":"Ll"},{"key":"03F6","mappings":{"default":{"default":"epsilon lunaire réfléchi"}},"category":"Sm"},{"category":"Lu","key":"1D7CA","mappings":{"default":{"default":"Digamma en gras"}}},{"category":"Ll","key":"1D7CB","mappings":{"default":{"default":"digamma en gras"}}}]
+,
+"fr/symbols/hebrew_letters.js": 
+[{"locale":"fr"},{"key":"2135","mappings":{"default":{"default":"alef"}},"category":"Lo"},{"key":"2136","mappings":{"default":{"default":"bèt"}},"category":"Lo"},{"key":"2137","mappings":{"default":{"default":"guimel"}},"category":"Lo"},{"key":"2138","mappings":{"default":{"default":"dalèt"}},"category":"Lo"}]
+,
+"fr/symbols/latin-lower-double-accent.js": 
+[{"locale":"fr"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u trémaa et macron"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u trémaa et accent aigu"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u trémaa et caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u trémaa et accent grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a trémaa et macron"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a point en chef et macron"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o ogonek et macron"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a rond en chef et accent aigu"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o tréma et macron"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o tilde et macron"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o point en chef et macron"}}},{"key":"1E09","mappings":{"default":{"default":"c cédille et accent aigu"}},"category":"Ll"},{"key":"1E15","mappings":{"default":{"default":"e macron et accent grave"}},"category":"Ll"},{"key":"1E17","mappings":{"default":{"default":"e macron et accent aigu"}},"category":"Ll"},{"key":"1E1D","mappings":{"default":{"default":"e cédille et brève"}},"category":"Ll"},{"key":"1E2F","mappings":{"default":{"default":"i tréma et accent aigu"}},"category":"Ll"},{"key":"1E39","mappings":{"default":{"default":"l point souscrit et macron"}},"category":"Ll"},{"key":"1E4D","mappings":{"default":{"default":"o tilde et accent aigu"}},"category":"Ll"},{"key":"1E4F","mappings":{"default":{"default":"o tilde et tréma"}},"category":"Ll"},{"key":"1E51","mappings":{"default":{"default":"o macron et accent grave"}},"category":"Ll"},{"key":"1E53","mappings":{"default":{"default":"o macron et accent aigu"}},"category":"Ll"},{"key":"1E5D","mappings":{"default":{"default":"r point souscrit et macron"}},"category":"Ll"},{"key":"1E65","mappings":{"default":{"default":"s accent aigu et point en chef"}},"category":"Ll"},{"key":"1E67","mappings":{"default":{"default":"s caron et point en chef"}},"category":"Ll"},{"key":"1E69","mappings":{"default":{"default":"s point souscrit et point en chef"}},"category":"Ll"},{"key":"1E79","mappings":{"default":{"default":"u tilde et accent aigu"}},"category":"Ll"},{"key":"1E7B","mappings":{"default":{"default":"u macron et tréma"}},"category":"Ll"},{"key":"1EA5","mappings":{"default":{"default":"a accent circonflexe et accent aigu"}},"category":"Ll"},{"key":"1EA7","mappings":{"default":{"default":"a accent circonflexe et accent grave"}},"category":"Ll"},{"key":"1EA9","mappings":{"default":{"default":"a accent circonflexe et crochet en chef"}},"category":"Ll"},{"key":"1EAB","mappings":{"default":{"default":"a accent circonflexe et tilde"}},"category":"Ll"},{"key":"1EAD","mappings":{"default":{"default":"a accent circonflexe et point souscrit"}},"category":"Ll"},{"key":"1EAF","mappings":{"default":{"default":"a brève et accent aigu"}},"category":"Ll"},{"key":"1EB1","mappings":{"default":{"default":"a brève et accent grave"}},"category":"Ll"},{"key":"1EB3","mappings":{"default":{"default":"a brève et crochet en chef"}},"category":"Ll"},{"key":"1EB5","mappings":{"default":{"default":"a brève et tilde"}},"category":"Ll"},{"key":"1EB7","mappings":{"default":{"default":"a brève et point souscrit"}},"category":"Ll"},{"key":"1EBF","mappings":{"default":{"default":"e accent circonflexe et accent aigu"}},"category":"Ll"},{"key":"1EC1","mappings":{"default":{"default":"e accent circonflexe et accent grave"}},"category":"Ll"},{"key":"1EC3","mappings":{"default":{"default":"e accent circonflexe et crochet en chef"}},"category":"Ll"},{"key":"1EC5","mappings":{"default":{"default":"e accent circonflexe et tilde"}},"category":"Ll"},{"key":"1EC7","mappings":{"default":{"default":"e accent circonflexe et point souscrit"}},"category":"Ll"},{"key":"1ED1","mappings":{"default":{"default":"o accent circonflexe et accent aigu"}},"category":"Ll"},{"key":"1ED3","mappings":{"default":{"default":"o accent circonflexe et accent grave"}},"category":"Ll"},{"key":"1ED5","mappings":{"default":{"default":"o accent circonflexe et crochet en chef"}},"category":"Ll"},{"key":"1ED7","mappings":{"default":{"default":"o accent circonflexe et tilde"}},"category":"Ll"},{"key":"1ED9","mappings":{"default":{"default":"o accent circonflexe et point souscrit"}},"category":"Ll"},{"key":"1EDB","mappings":{"default":{"default":"o cornu accent aigu"}},"category":"Ll"},{"key":"1EDD","mappings":{"default":{"default":"o cornu accent grave"}},"category":"Ll"},{"key":"1EDF","mappings":{"default":{"default":"o cornu crochet en chef"}},"category":"Ll"},{"key":"1EE1","mappings":{"default":{"default":"o cornu tilde"}},"category":"Ll"},{"key":"1EE3","mappings":{"default":{"default":"o cornu point souscrit"}},"category":"Ll"},{"key":"1EE9","mappings":{"default":{"default":"u cornu accent aigu"}},"category":"Ll"},{"key":"1EEB","mappings":{"default":{"default":"u cornu accent grave"}},"category":"Ll"},{"key":"1EED","mappings":{"default":{"default":"u cornu crochet en chef"}},"category":"Ll"},{"key":"1EEF","mappings":{"default":{"default":"u cornu tilde"}},"category":"Ll"},{"key":"1EF1","mappings":{"default":{"default":"u cornu point souscrit"}},"category":"Ll"}]
+,
+"fr/symbols/latin-lower-phonetic.js": 
+[{"locale":"fr"},{"key":"00F8","mappings":{"default":{"default":"o barré"}},"category":"Ll"},{"key":"0111","mappings":{"default":{"default":"d barré"}},"category":"Ll"},{"key":"0127","mappings":{"default":{"default":"h barré"}},"category":"Ll"},{"key":"0142","mappings":{"default":{"default":"l barré"}},"category":"Ll"},{"key":"0167","mappings":{"default":{"default":"t barré"}},"category":"Ll"},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b barré"}}},{"key":"019B","mappings":{"default":{"default":"lambda barré"}},"category":"Ll"},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z barré"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"coup de glotte barré culbuté"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g barré"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o barré accent aigu"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c barré"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"e barré"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j barré"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"r barré"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y barré"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"j sans point barré"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i barré"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"j sans point barré crosse"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"coup de glotte barré"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"coup de glotte barré réfléchi"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"o couché barré obliquement"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota barré"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p barré"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon barré"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"s long à barre diagonale"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"s long à barre haute"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"delta culbutée"}}},{"key":"1E9B","mappings":{"default":{"default":"s long point en chef"}},"category":"Ll"},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta"}}},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"category":"Ll","key":"017F","mappings":{"default":{"default":"s long"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b potence"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"sixiéme ton"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c crosse"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d potence"}}},{"key":"0192","mappings":{"default":{"default":"f cursif"}},"category":"Ll"},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv (Hwair)"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k crosse"}}},{"key":"019A","mappings":{"default":{"default":"l rayé"}},"category":"Ll"},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n à long jambage de droite"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o cornu"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"gha"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p crosse"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"deuxiéme ton"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"ech réfléchi bouclé"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t hameçon palatal"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t crosse"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u cornu"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y crosse"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"ej réfléchi"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ej hameçon"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"cinquiéme tun"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ej caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lej"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ej"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"ej bouclé"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"digramme Dej"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"e culbuté"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae accent aigu (ash)"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d bouclé"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z crochet"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l bouclé"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n bouclé"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t bouclé"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"Ligature minuscule latine Db"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"Ligature minuscule latine Qp"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s à paraphe"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z à paraphe"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"coup de glotte"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q avec hameçon"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"a culbuté"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"alpha culbuté"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b crosse"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"o ouvert"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c bouclé"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d hameçon rétroflexe"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d crosse"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"e réfléchi"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"schwa crochet"}}},{"key":"025B","mappings":{"default":{"default":"e ouvert"}},"category":"Ll"},{"category":"Ll","key":"025C","mappings":{"default":{"default":"epsilon réfléchi"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"epsilon réfléchi crochet"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"epsilon réfléchi fermé"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g crosse"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"g cursif"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"petit gamma"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"h culbuté"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h crosse"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"eng crosse"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l tilde médian"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l sanglé"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"l hameçon rétroflexe"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"m culbuté"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"m hampé culbuté"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m hameçon"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n hameçon à gauche"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n hameçon rétroflexe"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"o barré"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"oméga fermé"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"r culbuté"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"r prolongé culbuté"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"r crosse culbuté"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"r prolongé"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"r hameçon rétroflexe"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"r sans obit"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"r sans obit réfléchi"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"s hameçon rétroflexe"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"ech"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"r sans obit réfléchi hameçon rétroflexe"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"ech bouclé"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"t culbuté"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"t hameçon rétroflexe"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"u barré"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"v de ronde"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"v culbuté"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"w culbuté"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"y culbuté"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"z hameçon rétroflexe"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z bouclé"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"coup de glotte réfléchi"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"coup de glotte culbuté"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"C étiré"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"clic bilabial"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"epsilon fermé"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"k culbuté"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q crosse"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"digramme Dz"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"digramme Dz bouclé"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"digramme Ts"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"digramme Tech"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"digramme Tc bouclé"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"digramme Feng"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"digramme Ls"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"digramme Lz"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"percussion bilabiale"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"percussion bidentale"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"h culbuté crosse réfléchie"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"h culbuté crosse réfléchie et hameçon rétroflexe"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"ae culbuté"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"epsilon culbuté"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"i culbuté"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"o couché"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"o ouvert couché"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"oe culbuté"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"moitié supérieure de o"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"moitié inférieure de o"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"u couché"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"u tréma couché"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"m couché"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"fricative pharyngale voisée"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"aïn"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"b tilde médian"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"d tilde médian"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"f tilde médian"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"m tilde médian"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"n tilde médian"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"p tilde médian"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"r tilde médian"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"r sans obit tilde médian"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"s tilde médian"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"t tilde médian"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z tilde médian"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"g culbuté"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"g insulaire"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th barré diagonalement"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"b hameçon palatal"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"d hameçon palatal"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"f hameçon palatal"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"g hameçon palatal"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"k hameçon palatal"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"l hameçon palatal"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"m hameçon palatal"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"n hameçon palatal"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"p hameçon palatal"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"r hameçon palatal"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"s hameçon palatal"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"ech hameçon palatal"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"v hameçon palatal"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"x hameçon palatal"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"z hameçon palatal"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a hameçon rétroflexe"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"alpha hameçon rétroflexe"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"d crosse et hameçon rétroflexe"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"e hameçon rétroflexe"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"epsilon hameçon rétroflexe"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"epsilon réfléchi hameçon rétroflexe"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"schwa hameçon rétroflexe"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"i hameçon rétroflexe"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"o ouvert hameçon rétroflexe"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"ech hameçon rétroflexe"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"u hameçon rétroflexe"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"ej hameçon rétroflexe"}}},{"key":"0149","mappings":{"default":{"default":"n précédée d'une apostrophe"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
+,
+"fr/symbols/latin-lower-single-accent.js": 
+[{"locale":"fr"},{"key":"00E0","mappings":{"default":{"default":"a accent grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a accent aigu"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a accent circonflexe"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a tréma"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a rond en chef"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c cédille"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e accent grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e accent aigu"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e accent circonflexe"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e tréma"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i accent grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i accent aigu"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i accent circonflexe"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i tréma"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"n tilde"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o accent grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o accent aigu"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o accent circonflexe"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o tréma"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u accent grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u accent aigu"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u accent circonflexe"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u tréma"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"y accent aigu"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y tréma"}},"category":"Ll"},{"key":"0101","mappings":{"default":{"default":"a macron"}},"category":"Ll"},{"key":"0103","mappings":{"default":{"default":"a brève"}},"category":"Ll"},{"key":"0105","mappings":{"default":{"default":"a ogonek"}},"category":"Ll"},{"key":"0107","mappings":{"default":{"default":"c accent aigu"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c accent circonflexe"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c point en chef"}},"category":"Ll"},{"key":"010D","mappings":{"default":{"default":"c caron"}},"category":"Ll"},{"key":"010F","mappings":{"default":{"default":"d caron"}},"category":"Ll"},{"key":"0113","mappings":{"default":{"default":"e macron"}},"category":"Ll"},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e brève"}}},{"key":"0117","mappings":{"default":{"default":"e point en chef"}},"category":"Ll"},{"key":"0119","mappings":{"default":{"default":"e ogonek"}},"category":"Ll"},{"key":"011B","mappings":{"default":{"default":"e caron"}},"category":"Ll"},{"key":"011D","mappings":{"default":{"default":"g accent circonflexe"}},"category":"Ll"},{"key":"011F","mappings":{"default":{"default":"g brève"}},"category":"Ll"},{"key":"0121","mappings":{"default":{"default":"g point en chef"}},"category":"Ll"},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g cédille"}}},{"key":"0125","mappings":{"default":{"default":"h accent circonflexe"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i tilde"}},"category":"Ll"},{"key":"012B","mappings":{"default":{"default":"i macron"}},"category":"Ll"},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i brève"}}},{"key":"012F","mappings":{"default":{"default":"i ogonek"}},"category":"Ll"},{"key":"0131","mappings":{"default":{"default":"i sans point"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j accent circonflexe"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k cédille"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l accent aigu"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l cédille"}},"category":"Ll"},{"key":"013E","mappings":{"default":{"default":"l caron"}},"category":"Ll"},{"key":"0140","mappings":{"default":{"default":"l point médian"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n accent aigu"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n cédille"}},"category":"Ll"},{"key":"0148","mappings":{"default":{"default":"n caron"}},"category":"Ll"},{"key":"014D","mappings":{"default":{"default":"o macron"}},"category":"Ll"},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o brève"}}},{"key":"0151","mappings":{"default":{"default":"o avec double accent aigu"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r accent aigu"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r cédille"}},"category":"Ll"},{"key":"0159","mappings":{"default":{"default":"r caron"}},"category":"Ll"},{"key":"015B","mappings":{"default":{"default":"s accent aigu"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s accent circonflexe"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s cédille"}},"category":"Ll"},{"key":"0161","mappings":{"default":{"default":"s caron"}},"category":"Ll"},{"key":"0163","mappings":{"default":{"default":"t cédille"}},"category":"Ll"},{"key":"0165","mappings":{"default":{"default":"t caron"}},"category":"Ll"},{"key":"0169","mappings":{"default":{"default":"u tilde"}},"category":"Ll"},{"key":"016B","mappings":{"default":{"default":"u macron"}},"category":"Ll"},{"key":"016D","mappings":{"default":{"default":"u brève"}},"category":"Ll"},{"key":"016F","mappings":{"default":{"default":"u rond en chef"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u avec double accent aigu"}},"category":"Ll"},{"key":"0173","mappings":{"default":{"default":"u ogonek"}},"category":"Ll"},{"key":"0175","mappings":{"default":{"default":"w accent circonflexe"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y accent circonflexe"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z accent aigu"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z point en chef"}},"category":"Ll"},{"key":"017E","mappings":{"default":{"default":"z caron"}},"category":"Ll"},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j caron"}}},{"key":"01F5","mappings":{"default":{"default":"g accent aigu"}},"category":"Ll"},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a double accent grave"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a brève renversée"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e double accent grave"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e brève renversée"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i double accent grave"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i brève renversée"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o double accent grave"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o brève renversée"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r double accent grave"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r brève renversée"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u double accent grave"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u brève renversée"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s virgule souscrite *"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t virgule souscrite *"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"a point en chef"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e cédille"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o point en chef"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y macron"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"j sans point"}}},{"key":"1E01","mappings":{"default":{"default":"a à rond souscrit"}},"category":"Ll"},{"key":"1E03","mappings":{"default":{"default":"b point en chef"}},"category":"Ll"},{"key":"1E05","mappings":{"default":{"default":"b point souscrit"}},"category":"Ll"},{"key":"1E07","mappings":{"default":{"default":"b ligne souscrite"}},"category":"Ll"},{"key":"1E0B","mappings":{"default":{"default":"d point en chef"}},"category":"Ll"},{"key":"1E0D","mappings":{"default":{"default":"d point souscrit"}},"category":"Ll"},{"key":"1E0F","mappings":{"default":{"default":"d ligne souscrite"}},"category":"Ll"},{"key":"1E11","mappings":{"default":{"default":"d cédille"}},"category":"Ll"},{"key":"1E13","mappings":{"default":{"default":"d accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E19","mappings":{"default":{"default":"e accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E1B","mappings":{"default":{"default":"e tilde souscrit"}},"category":"Ll"},{"key":"1E1F","mappings":{"default":{"default":"f point en chef"}},"category":"Ll"},{"key":"1E21","mappings":{"default":{"default":"g macron"}},"category":"Ll"},{"key":"1E23","mappings":{"default":{"default":"h point en chef"}},"category":"Ll"},{"key":"1E25","mappings":{"default":{"default":"h point souscrit"}},"category":"Ll"},{"key":"1E27","mappings":{"default":{"default":"h tréma"}},"category":"Ll"},{"key":"1E29","mappings":{"default":{"default":"h cédille"}},"category":"Ll"},{"key":"1E2B","mappings":{"default":{"default":"h brève souscrit"}},"category":"Ll"},{"key":"1E2D","mappings":{"default":{"default":"i tilde souscrit"}},"category":"Ll"},{"key":"1E31","mappings":{"default":{"default":"k accent aigu"}},"category":"Ll"},{"key":"1E33","mappings":{"default":{"default":"k point souscrit"}},"category":"Ll"},{"key":"1E35","mappings":{"default":{"default":"k ligne souscrite"}},"category":"Ll"},{"key":"1E37","mappings":{"default":{"default":"l point souscrit"}},"category":"Ll"},{"key":"1E3B","mappings":{"default":{"default":"l ligne souscrite"}},"category":"Ll"},{"key":"1E3D","mappings":{"default":{"default":"l accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E3F","mappings":{"default":{"default":"m accent aigu"}},"category":"Ll"},{"key":"1E41","mappings":{"default":{"default":"m point en chef"}},"category":"Ll"},{"key":"1E43","mappings":{"default":{"default":"m point souscrit"}},"category":"Ll"},{"key":"1E45","mappings":{"default":{"default":"n point en chef"}},"category":"Ll"},{"key":"1E47","mappings":{"default":{"default":"n point souscrit"}},"category":"Ll"},{"key":"1E49","mappings":{"default":{"default":"n ligne souscrite"}},"category":"Ll"},{"key":"1E4B","mappings":{"default":{"default":"n accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E55","mappings":{"default":{"default":"p accent aigu"}},"category":"Ll"},{"key":"1E57","mappings":{"default":{"default":"p point en chef"}},"category":"Ll"},{"key":"1E59","mappings":{"default":{"default":"r point en chef"}},"category":"Ll"},{"key":"1E5B","mappings":{"default":{"default":"r point souscrit"}},"category":"Ll"},{"key":"1E5F","mappings":{"default":{"default":"r ligne souscrite"}},"category":"Ll"},{"key":"1E61","mappings":{"default":{"default":"s point en chef"}},"category":"Ll"},{"key":"1E63","mappings":{"default":{"default":"s point souscrit"}},"category":"Ll"},{"key":"1E6B","mappings":{"default":{"default":"t point en chef"}},"category":"Ll"},{"key":"1E6D","mappings":{"default":{"default":"t point souscrit"}},"category":"Ll"},{"key":"1E6F","mappings":{"default":{"default":"t ligne souscrite"}},"category":"Ll"},{"key":"1E71","mappings":{"default":{"default":"t accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E73","mappings":{"default":{"default":"u tréma souscrit"}},"category":"Ll"},{"key":"1E75","mappings":{"default":{"default":"u tilde souscrit"}},"category":"Ll"},{"key":"1E77","mappings":{"default":{"default":"u accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E7D","mappings":{"default":{"default":"v tilde"}},"category":"Ll"},{"key":"1E7F","mappings":{"default":{"default":"v point souscrit"}},"category":"Ll"},{"key":"1E81","mappings":{"default":{"default":"w accent grave"}},"category":"Ll"},{"key":"1E83","mappings":{"default":{"default":"w accent aigu"}},"category":"Ll"},{"key":"1E85","mappings":{"default":{"default":"w tréma"}},"category":"Ll"},{"key":"1E87","mappings":{"default":{"default":"w point en chef"}},"category":"Ll"},{"key":"1E89","mappings":{"default":{"default":"w point souscrit"}},"category":"Ll"},{"key":"1E8B","mappings":{"default":{"default":"x point en chef"}},"category":"Ll"},{"key":"1E8D","mappings":{"default":{"default":"x tréma"}},"category":"Ll"},{"key":"1E8F","mappings":{"default":{"default":"y point en chef"}},"category":"Ll"},{"key":"1E91","mappings":{"default":{"default":"z accent circonflexe"}},"category":"Ll"},{"key":"1E93","mappings":{"default":{"default":"z point souscrit"}},"category":"Ll"},{"key":"1E95","mappings":{"default":{"default":"z ligne souscrite"}},"category":"Ll"},{"key":"1E96","mappings":{"default":{"default":"h ligne souscrite"}},"category":"Ll"},{"key":"1E97","mappings":{"default":{"default":"t tréma"}},"category":"Ll"},{"key":"1E98","mappings":{"default":{"default":"w rond en chef"}},"category":"Ll"},{"key":"1E99","mappings":{"default":{"default":"y rond en chef"}},"category":"Ll"},{"key":"1E9A","mappings":{"default":{"default":"a demi rond à droite"}},"category":"Ll"},{"key":"1EA1","mappings":{"default":{"default":"a point souscrit"}},"category":"Ll"},{"key":"1EA3","mappings":{"default":{"default":"a crochet en chef"}},"category":"Ll"},{"key":"1EB9","mappings":{"default":{"default":"e point souscrit"}},"category":"Ll"},{"key":"1EBB","mappings":{"default":{"default":"e crochet en chef"}},"category":"Ll"},{"key":"1EBD","mappings":{"default":{"default":"e tilde"}},"category":"Ll"},{"key":"1EC9","mappings":{"default":{"default":"i crochet en chef"}},"category":"Ll"},{"key":"1ECB","mappings":{"default":{"default":"i point souscrit"}},"category":"Ll"},{"key":"1ECD","mappings":{"default":{"default":"o point souscrit"}},"category":"Ll"},{"key":"1ECF","mappings":{"default":{"default":"o crochet en chef"}},"category":"Ll"},{"key":"1EE5","mappings":{"default":{"default":"u point souscrit"}},"category":"Ll"},{"key":"1EE7","mappings":{"default":{"default":"u crochet en chef"}},"category":"Ll"},{"key":"1EF3","mappings":{"default":{"default":"y accent grave"}},"category":"Ll"},{"key":"1EF5","mappings":{"default":{"default":"y point souscrit"}},"category":"Ll"},{"key":"1EF7","mappings":{"default":{"default":"y crochet en chef"}},"category":"Ll"},{"key":"1EF9","mappings":{"default":{"default":"y tilde"}},"category":"Ll"}]
+,
+"fr/symbols/latin-rest.js": 
+[{"locale":"fr"},{"category":"Ll","key":"210E","mappings":{"default":{"default":"constante de planck"}}},{"category":"Mn","key":"0363","mappings":{"default":{"default":"diacritique a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"diacritique e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"diacritique i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"diacritique o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"diacritique u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"diacritique c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"diacritique d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"diacritique h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"diacritique m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"diacritique r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"diacritique t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"diacritique v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"diacritique x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"i souscrit"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"r souscrit"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"u souscrit"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"v souscrit"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"diacritique r souscrite"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"diacritique a ouvert aplati suscrit"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"diacritique ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"diacritique ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"diacritique av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"diacritique c cédille"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"diacritique d insulaire"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"diacritique eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"diacritique g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"diacritique petite g majuscule"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"diacritique k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"diacritique l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"diacritique petite l majuscule"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"diacritique petite m majuscule"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"diacritique n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"diacritique petite n majuscule"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"diacritique petite r majuscule"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"diacritique r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"diacritique s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"diacritique s long"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"diacritique z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"exposant i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"exposant n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"indice a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"indice e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"indice o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"indice x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"indice schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"souscrite h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"souscrite k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"souscrite l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"souscrite m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"souscrite n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"souscrite p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"souscrite s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"souscrite t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"j souscrite"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"s majuscule en écaille crochetée"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"c majuscule en italique cerclée"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"r majuscule en italique cerclée"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"P majuscule encadrée et en inversion avec croix"}}}]
+,
+"fr/symbols/latin-upper-double-accent.js": 
+[{"locale":"fr"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"U majuscule trémaa et macron"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"U majuscule trémaa et accent aigu"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"U majuscule trémaa et caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"U majuscule trémaa et accent grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"A majuscule trémaa et macron"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"A majuscule point en chef et macron"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"O majuscule ogonek et macron"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"A majuscule rond en chef et accent aigu"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"O majuscule tréma et macron"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"O majuscule tilde et macron"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"O majuscule point en chef et macron"}}},{"key":"1E08","mappings":{"default":{"default":"C cédille et accent aigu majuscule"}},"category":"Lu"},{"key":"1E14","mappings":{"default":{"default":"E macron et accent grave majuscule"}},"category":"Lu"},{"key":"1E16","mappings":{"default":{"default":"E macron et accent aigu majuscule"}},"category":"Lu"},{"key":"1E1C","mappings":{"default":{"default":"E cédille et brève majuscule"}},"category":"Lu"},{"key":"1E2E","mappings":{"default":{"default":"I tréma et accent aigu majuscule"}},"category":"Lu"},{"key":"1E38","mappings":{"default":{"default":"L point souscrit et macron majuscule"}},"category":"Lu"},{"key":"1E4C","mappings":{"default":{"default":"O tilde et accent aigu majuscule"}},"category":"Lu"},{"key":"1E4E","mappings":{"default":{"default":"O tilde et tréma majuscule"}},"category":"Lu"},{"key":"1E50","mappings":{"default":{"default":"O macron et accent grave majuscule"}},"category":"Lu"},{"key":"1E52","mappings":{"default":{"default":"O macron et accent aigu majuscule"}},"category":"Lu"},{"key":"1E5C","mappings":{"default":{"default":"R point souscrit et macron majuscule"}},"category":"Lu"},{"key":"1E64","mappings":{"default":{"default":"S accent aigu et point en chef majuscule"}},"category":"Lu"},{"key":"1E66","mappings":{"default":{"default":"S caron et point en chef majuscule"}},"category":"Lu"},{"key":"1E68","mappings":{"default":{"default":"S point souscrit et point en chef majuscule"}},"category":"Lu"},{"key":"1E78","mappings":{"default":{"default":"U tilde et accent aigu majuscule"}},"category":"Lu"},{"key":"1E7A","mappings":{"default":{"default":"U macron et tréma majuscule"}},"category":"Lu"},{"key":"1EA4","mappings":{"default":{"default":"A accent circonflexe et accent aigu majuscule"}},"category":"Lu"},{"key":"1EA6","mappings":{"default":{"default":"A accent circonflexe et accent grave majuscule"}},"category":"Lu"},{"key":"1EA8","mappings":{"default":{"default":"A accent circonflexe et crochet en chef majuscule"}},"category":"Lu"},{"key":"1EAA","mappings":{"default":{"default":"A accent circonflexe et tilde majuscule"}},"category":"Lu"},{"key":"1EAC","mappings":{"default":{"default":"A accent circonflexe et point souscrit majuscule"}},"category":"Lu"},{"key":"1EAE","mappings":{"default":{"default":"A brève et accent aigu majuscule"}},"category":"Lu"},{"key":"1EB0","mappings":{"default":{"default":"A brève et accent grave majuscule"}},"category":"Lu"},{"key":"1EB2","mappings":{"default":{"default":"A brève et crochet en chef majuscule"}},"category":"Lu"},{"key":"1EB4","mappings":{"default":{"default":"A brève et tilde majuscule"}},"category":"Lu"},{"key":"1EB6","mappings":{"default":{"default":"A brève et point souscrit majuscule"}},"category":"Lu"},{"key":"1EBE","mappings":{"default":{"default":"E accent circonflexe et accent aigu majuscule"}},"category":"Lu"},{"key":"1EC0","mappings":{"default":{"default":"E accent circonflexe et accent grave majuscule"}},"category":"Lu"},{"key":"1EC2","mappings":{"default":{"default":"E accent circonflexe et crochet en chef majuscule"}},"category":"Lu"},{"key":"1EC4","mappings":{"default":{"default":"E accent circonflexe et tilde majuscule"}},"category":"Lu"},{"key":"1EC6","mappings":{"default":{"default":"E accent circonflexe et point souscrit majuscule"}},"category":"Lu"},{"key":"1ED0","mappings":{"default":{"default":"O accent circonflexe et accent aigu majuscule"}},"category":"Lu"},{"key":"1ED2","mappings":{"default":{"default":"O accent circonflexe et accent grave majuscule"}},"category":"Lu"},{"key":"1ED4","mappings":{"default":{"default":"O accent circonflexe et crochet en chef majuscule"}},"category":"Lu"},{"key":"1ED6","mappings":{"default":{"default":"O accent circonflexe et tilde majuscule"}},"category":"Lu"},{"key":"1ED8","mappings":{"default":{"default":"O accent circonflexe et point souscrit majuscule"}},"category":"Lu"},{"key":"1EDA","mappings":{"default":{"default":"O cornu accent aigu majuscule"}},"category":"Lu"},{"key":"1EDC","mappings":{"default":{"default":"O cornu accent grave majuscule"}},"category":"Lu"},{"key":"1EDE","mappings":{"default":{"default":"O cornu crochet en chef majuscule"}},"category":"Lu"},{"key":"1EE0","mappings":{"default":{"default":"O cornu tilde majuscule"}},"category":"Lu"},{"key":"1EE2","mappings":{"default":{"default":"O cornu point souscrit majuscule"}},"category":"Lu"},{"key":"1EE8","mappings":{"default":{"default":"U cornu accent aigu majuscule"}},"category":"Lu"},{"key":"1EEA","mappings":{"default":{"default":"U cornu accent grave majuscule"}},"category":"Lu"},{"key":"1EEC","mappings":{"default":{"default":"U cornu crochet en chef majuscule"}},"category":"Lu"},{"key":"1EEE","mappings":{"default":{"default":"U cornu tilde majuscule"}},"category":"Lu"},{"key":"1EF0","mappings":{"default":{"default":"U cornu point souscrit majuscule"}},"category":"Lu"}]
+,
+"fr/symbols/latin-upper-single-accent.js": 
+[{"locale":"fr"},{"key":"00C0","mappings":{"default":{"default":"A accent grave majuscule"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"A accent aigu majuscule"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"A accent circonflexe majuscule"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"A tilde majuscule"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"A tréma majuscule"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"angstrom"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"C cédille majuscule"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"E accent grave majuscule"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"E accent aigu majuscule"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"E accent circonflexe majuscule"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"E tréma majuscule"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"I accent grave majuscule"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"I accent aigu majuscule"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"I accent circonflexe majuscule"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"I tréma majuscule"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"N tilde majuscule"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"O accent grave majuscule"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"O accent aigu majuscule"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"O accent circonflexe majuscule"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"O tilde majuscule"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"O tréma majuscule"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"U accent grave majuscule"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"U accent aigu majuscule"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"U accent circonflexe majuscule"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"U tréma majuscule"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"Y accent aigu majuscule"}},"category":"Lu"},{"key":"0100","mappings":{"default":{"default":"A macron majuscule"}},"category":"Lu"},{"key":"0102","mappings":{"default":{"default":"A brève majuscule"}},"category":"Lu"},{"key":"0104","mappings":{"default":{"default":"A ogonek majuscule"}},"category":"Lu"},{"key":"0106","mappings":{"default":{"default":"C accent aigu majuscule"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"C accent circonflexe majuscule"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"C point en chef majuscule"}},"category":"Lu"},{"key":"010C","mappings":{"default":{"default":"C caron majuscule"}},"category":"Lu"},{"key":"010E","mappings":{"default":{"default":"D caron majuscule"}},"category":"Lu"},{"key":"0112","mappings":{"default":{"default":"E macron majuscule"}},"category":"Lu"},{"category":"Lu","key":"0114","mappings":{"default":{"default":"E brève majuscule"}}},{"key":"0116","mappings":{"default":{"default":"E point en chef majuscule"}},"category":"Lu"},{"key":"0118","mappings":{"default":{"default":"E ogonek majuscule"}},"category":"Lu"},{"key":"011A","mappings":{"default":{"default":"E caron majuscule"}},"category":"Lu"},{"key":"011C","mappings":{"default":{"default":"G accent circonflexe majuscule"}},"category":"Lu"},{"key":"011E","mappings":{"default":{"default":"G brève majuscule"}},"category":"Lu"},{"key":"0120","mappings":{"default":{"default":"G point en chef majuscule"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"G cédille majuscule"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"H accent circonflexe majuscule"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"I tilde majuscule"}},"category":"Lu"},{"key":"012A","mappings":{"default":{"default":"I macron majuscule"}},"category":"Lu"},{"category":"Lu","key":"012C","mappings":{"default":{"default":"I brève majuscule"}}},{"key":"012E","mappings":{"default":{"default":"I ogonek majuscule"}},"category":"Lu"},{"key":"0130","mappings":{"default":{"default":"I point en chef majuscule"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"J accent circonflexe majuscule"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"K cédille majuscule"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"L accent aigu majuscule"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"L cédille majuscule"}},"category":"Lu"},{"key":"013D","mappings":{"default":{"default":"L caron majuscule"}},"category":"Lu"},{"key":"013F","mappings":{"default":{"default":"L point médian majuscule"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"N accent aigu majuscule"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"N cédille majuscule"}},"category":"Lu"},{"key":"0147","mappings":{"default":{"default":"N caron majuscule"}},"category":"Lu"},{"key":"014C","mappings":{"default":{"default":"O macron majuscule"}},"category":"Lu"},{"category":"Lu","key":"014E","mappings":{"default":{"default":"O brève majuscule"}}},{"key":"0150","mappings":{"default":{"default":"O avec double accent aigu majuscule"}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"R accent aigu majuscule"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"R cédille majuscule"}},"category":"Lu"},{"key":"0158","mappings":{"default":{"default":"R caron majuscule"}},"category":"Lu"},{"key":"015A","mappings":{"default":{"default":"S accent aigu majuscule"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"S accent circonflexe majuscule"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"S cédille majuscule"}},"category":"Lu"},{"key":"0160","mappings":{"default":{"default":"S caron majuscule"}},"category":"Lu"},{"key":"0162","mappings":{"default":{"default":"T cédille majuscule"}},"category":"Lu"},{"key":"0164","mappings":{"default":{"default":"T caron majuscule"}},"category":"Lu"},{"key":"0168","mappings":{"default":{"default":"U tilde majuscule"}},"category":"Lu"},{"key":"016A","mappings":{"default":{"default":"U macron majuscule"}},"category":"Lu"},{"key":"016C","mappings":{"default":{"default":"U brève majuscule"}},"category":"Lu"},{"key":"016E","mappings":{"default":{"default":"U rond en chef majuscule"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"U avec double accent aigu majuscule"}},"category":"Lu"},{"key":"0172","mappings":{"default":{"default":"U ogonek majuscule"}},"category":"Lu"},{"key":"0174","mappings":{"default":{"default":"W accent circonflexe majuscule"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"Y accent circonflexe majuscule"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"Y tréma majuscule"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"Z accent aigu majuscule"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"Z point en chef majuscule"}},"category":"Lu"},{"key":"017D","mappings":{"default":{"default":"Z caron majuscule"}},"category":"Lu"},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"A caron majuscule"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"I caron majuscule"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"O caron majuscule"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"U caron majuscule"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"G caron majuscule"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"K caron majuscule"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"O ogonek majuscule"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"G accent aigu majuscule"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"N grave majuscule"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"A double accent grave majuscule"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"A brève renversée majuscule"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"E double accent grave majuscule"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"E brève renversée majuscule"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"I double accent grave majuscule"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"I brève renversée majuscule"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"O double accent grave majuscule"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"O brève renversée majuscule"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"R double accent grave majuscule"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"R brève renversée majuscule"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"U double accent grave majuscule"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"U brève renversée majuscule"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"S virgule souscrite * majuscule"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"T virgule souscrite * majuscule"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"H caron majuscule"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"A point en chef majuscule"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"E cédille majuscule"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"O point en chef majuscule"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"Y macron majuscule"}}},{"key":"1E00","mappings":{"default":{"default":"A à rond souscrit majuscule"}},"category":"Lu"},{"key":"1E02","mappings":{"default":{"default":"B point en chef majuscule"}},"category":"Lu"},{"key":"1E04","mappings":{"default":{"default":"B point souscrit majuscule"}},"category":"Lu"},{"key":"1E06","mappings":{"default":{"default":"B ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E0A","mappings":{"default":{"default":"D point en chef majuscule"}},"category":"Lu"},{"key":"1E0C","mappings":{"default":{"default":"D point souscrit majuscule"}},"category":"Lu"},{"key":"1E0E","mappings":{"default":{"default":"D ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E10","mappings":{"default":{"default":"D cédille majuscule"}},"category":"Lu"},{"key":"1E12","mappings":{"default":{"default":"D accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E18","mappings":{"default":{"default":"E accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E1A","mappings":{"default":{"default":"E tilde souscrit majuscule"}},"category":"Lu"},{"key":"1E1E","mappings":{"default":{"default":"F point en chef majuscule"}},"category":"Lu"},{"key":"1E20","mappings":{"default":{"default":"G macron majuscule"}},"category":"Lu"},{"key":"1E22","mappings":{"default":{"default":"H point en chef majuscule"}},"category":"Lu"},{"key":"1E24","mappings":{"default":{"default":"H point souscrit majuscule"}},"category":"Lu"},{"key":"1E26","mappings":{"default":{"default":"H tréma majuscule"}},"category":"Lu"},{"key":"1E28","mappings":{"default":{"default":"H cédille majuscule"}},"category":"Lu"},{"key":"1E2A","mappings":{"default":{"default":"H brève souscrit majuscule"}},"category":"Lu"},{"key":"1E2C","mappings":{"default":{"default":"I tilde souscrit majuscule"}},"category":"Lu"},{"key":"1E30","mappings":{"default":{"default":"K accent aigu majuscule"}},"category":"Lu"},{"key":"1E32","mappings":{"default":{"default":"K point souscrit majuscule"}},"category":"Lu"},{"key":"1E34","mappings":{"default":{"default":"K ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E36","mappings":{"default":{"default":"L point souscrit majuscule"}},"category":"Lu"},{"key":"1E3A","mappings":{"default":{"default":"L ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E3C","mappings":{"default":{"default":"L accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E3E","mappings":{"default":{"default":"M accent aigu majuscule"}},"category":"Lu"},{"key":"1E40","mappings":{"default":{"default":"M point en chef majuscule"}},"category":"Lu"},{"key":"1E42","mappings":{"default":{"default":"M point souscrit majuscule"}},"category":"Lu"},{"key":"1E44","mappings":{"default":{"default":"N point en chef majuscule"}},"category":"Lu"},{"key":"1E46","mappings":{"default":{"default":"N point souscrit majuscule"}},"category":"Lu"},{"key":"1E48","mappings":{"default":{"default":"N ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E4A","mappings":{"default":{"default":"N accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E54","mappings":{"default":{"default":"P accent aigu majuscule"}},"category":"Lu"},{"key":"1E56","mappings":{"default":{"default":"P point en chef majuscule"}},"category":"Lu"},{"key":"1E58","mappings":{"default":{"default":"R point en chef majuscule"}},"category":"Lu"},{"key":"1E5A","mappings":{"default":{"default":"R point souscrit majuscule"}},"category":"Lu"},{"key":"1E5E","mappings":{"default":{"default":"R ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E60","mappings":{"default":{"default":"S point en chef majuscule"}},"category":"Lu"},{"key":"1E62","mappings":{"default":{"default":"S point souscrit majuscule"}},"category":"Lu"},{"key":"1E6A","mappings":{"default":{"default":"T point en chef majuscule"}},"category":"Lu"},{"key":"1E6C","mappings":{"default":{"default":"T point souscrit majuscule"}},"category":"Lu"},{"key":"1E6E","mappings":{"default":{"default":"T ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E70","mappings":{"default":{"default":"T accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E72","mappings":{"default":{"default":"U tréma souscrit majuscule"}},"category":"Lu"},{"key":"1E74","mappings":{"default":{"default":"U tilde souscrit majuscule"}},"category":"Lu"},{"key":"1E76","mappings":{"default":{"default":"U accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E7C","mappings":{"default":{"default":"V tilde majuscule"}},"category":"Lu"},{"key":"1E7E","mappings":{"default":{"default":"V point souscrit majuscule"}},"category":"Lu"},{"key":"1E80","mappings":{"default":{"default":"W accent grave majuscule"}},"category":"Lu"},{"key":"1E82","mappings":{"default":{"default":"W accent aigu majuscule"}},"category":"Lu"},{"key":"1E84","mappings":{"default":{"default":"W tréma majuscule"}},"category":"Lu"},{"key":"1E86","mappings":{"default":{"default":"W point en chef majuscule"}},"category":"Lu"},{"key":"1E88","mappings":{"default":{"default":"W point souscrit majuscule"}},"category":"Lu"},{"key":"1E8A","mappings":{"default":{"default":"X point en chef majuscule"}},"category":"Lu"},{"key":"1E8C","mappings":{"default":{"default":"X tréma majuscule"}},"category":"Lu"},{"key":"1E8E","mappings":{"default":{"default":"Y point en chef majuscule"}},"category":"Lu"},{"key":"1E90","mappings":{"default":{"default":"Z accent circonflexe majuscule"}},"category":"Lu"},{"key":"1E92","mappings":{"default":{"default":"Z point souscrit majuscule"}},"category":"Lu"},{"key":"1E94","mappings":{"default":{"default":"Z ligne souscrite majuscule"}},"category":"Lu"},{"key":"1EA0","mappings":{"default":{"default":"A point souscrit majuscule"}},"category":"Lu"},{"key":"1EA2","mappings":{"default":{"default":"A crochet en chef majuscule"}},"category":"Lu"},{"key":"1EB8","mappings":{"default":{"default":"E point souscrit majuscule"}},"category":"Lu"},{"key":"1EBA","mappings":{"default":{"default":"E crochet en chef majuscule"}},"category":"Lu"},{"key":"1EBC","mappings":{"default":{"default":"E tilde majuscule"}},"category":"Lu"},{"key":"1EC8","mappings":{"default":{"default":"I crochet en chef majuscule"}},"category":"Lu"},{"key":"1ECA","mappings":{"default":{"default":"I point souscrit majuscule"}},"category":"Lu"},{"key":"1ECC","mappings":{"default":{"default":"O point souscrit majuscule"}},"category":"Lu"},{"key":"1ECE","mappings":{"default":{"default":"O crochet en chef majuscule"}},"category":"Lu"},{"key":"1EE4","mappings":{"default":{"default":"U point souscrit majuscule"}},"category":"Lu"},{"key":"1EE6","mappings":{"default":{"default":"U crochet en chef majuscule"}},"category":"Lu"},{"key":"1EF2","mappings":{"default":{"default":"Y accent grave majuscule"}},"category":"Lu"},{"key":"1EF4","mappings":{"default":{"default":"Y point souscrit majuscule"}},"category":"Lu"},{"key":"1EF6","mappings":{"default":{"default":"Y crochet en chef majuscule"}},"category":"Lu"},{"key":"1EF8","mappings":{"default":{"default":"Y tilde majuscule"}},"category":"Lu"}]
+,
+"fr/symbols/math_angles.js": 
+[{"locale":"fr"},{"key":"22BE","mappings":{"default":{"default":"angle droit avec arc"}},"category":"Sm"},{"key":"237C","mappings":{"default":{"default":"angle droit avec flèche en zigzag vers le bas"}},"category":"Sm"},{"key":"27C0","mappings":{"default":{"default":"angle tridimensionnel"}},"category":"Sm"},{"category":"Sm","key":"299B","mappings":{"default":{"default":"angle mesuré s'ouvrant vers la gauche"}}},{"category":"Sm","key":"299C","mappings":{"default":{"default":"variante d'angle avec carré"}}},{"key":"299D","mappings":{"default":{"default":"angle droit mesuré pointé"}},"category":"Sm"},{"category":"Sm","key":"299E","mappings":{"default":{"default":"angle avec s inscrit"}}},{"category":"Sm","key":"299F","mappings":{"default":{"default":"angle aigu"}}},{"category":"Sm","key":"29A0","mappings":{"default":{"default":"angle sphérique s'ouvrant vers la gauche"}}},{"category":"Sm","key":"29A1","mappings":{"default":{"default":"angle sphérique s'ouvrant vers le haut"}}},{"category":"Sm","key":"29A2","mappings":{"default":{"default":"angle culbuté"}}},{"category":"Sm","key":"29A3","mappings":{"default":{"default":"angle réfléchi"}}},{"key":"29A4","mappings":{"default":{"default":"angle à barre souscrite"}},"category":"Sm"},{"key":"29A5","mappings":{"default":{"default":"angle à barre souscrite réfléchie"}},"category":"Sm"},{"key":"29A6","mappings":{"default":{"default":"angle oblique s'ouvrant vers le haut"}},"category":"Sm"},{"key":"29A7","mappings":{"default":{"default":"angle oblique s'ouvrant vers le bas"}},"category":"Sm"},{"key":"29A8","mappings":{"default":{"default":"angle calculé à bras vers l'est et bras fléché vers le nord est"}},"category":"Sm"},{"key":"29A9","mappings":{"default":{"default":"angle calculé à bras vers l'ouest et bras fléché vers le nord ouest"}},"category":"Sm"},{"key":"29AA","mappings":{"default":{"default":"angle calculé à bras vers l'est et bras fléché vers le sud est"}},"category":"Sm"},{"key":"29AB","mappings":{"default":{"default":"angle calculé à bras vers l'ouest et bras fléché vers le sud ouest"}},"category":"Sm"},{"key":"29AC","mappings":{"default":{"default":"angle calculé à bras vers le nord et bras fléché vers le nord est"}},"category":"Sm"},{"key":"29AD","mappings":{"default":{"default":"angle calculé à bras vers le nord et bras fléché vers le nord ouest"}},"category":"Sm"},{"key":"29AE","mappings":{"default":{"default":"angle calculé à bras vers le sud et bras fléché vers le sud est"}},"category":"Sm"},{"key":"29AF","mappings":{"default":{"default":"angle calculé à bras vers le sud et bras fléché vers le sud ouest"}},"category":"Sm"}]
+,
+"fr/symbols/math_arrows.js": 
+[{"locale":"fr"},{"key":"2190","mappings":{"default":{"default":"flèche gauche"}},"category":"Sm"},{"key":"2191","mappings":{"default":{"default":"flèche vers le haut"}},"category":"Sm"},{"key":"2192","mappings":{"default":{"default":"flèche droite"}},"category":"Sm"},{"key":"2193","mappings":{"default":{"default":"flèche vers le bas"}},"category":"Sm"},{"key":"2194","mappings":{"default":{"default":"flèche bilatérale"}},"category":"Sm"},{"key":"2195","mappings":{"default":{"default":"flèche haut et bas"}},"category":"So"},{"key":"2196","mappings":{"default":{"default":"flèche nord ouest"}},"category":"So"},{"key":"2197","mappings":{"default":{"default":"flèche nord est"}},"category":"So"},{"key":"2198","mappings":{"default":{"default":"flèche sud est"}},"category":"So"},{"key":"2199","mappings":{"default":{"default":"flèche sud ouest"}},"category":"So"},{"key":"219A","mappings":{"default":{"default":"flèche barrée gauche"}},"category":"Sm"},{"key":"219B","mappings":{"default":{"default":"flèche barrée droite"}},"category":"Sm"},{"key":"219C","mappings":{"default":{"default":"flèche ondulée gauche"}},"category":"So"},{"key":"219D","mappings":{"default":{"default":"flèche ondulée droite"}},"category":"So"},{"key":"219E","mappings":{"default":{"default":"flèche à deux pointes gauche"}},"category":"So"},{"key":"219F","mappings":{"default":{"default":"flèche à deux pointes vers le haut"}},"category":"So"},{"key":"21A0","mappings":{"default":{"default":"flèche à deux pointes droite"}},"category":"Sm"},{"key":"21A1","mappings":{"default":{"default":"flèche à deux pointes vers le bas"}},"category":"So"},{"key":"21A2","mappings":{"default":{"default":"flèche empennée gauche"}},"category":"So"},{"key":"21A3","mappings":{"default":{"default":"flèche empennée droite"}},"category":"Sm"},{"key":"21A4","mappings":{"default":{"default":"flèche d'un taquet gauche"}},"category":"So"},{"key":"21A5","mappings":{"default":{"default":"flèche d'un taquet vers le haut"}},"category":"So"},{"key":"21A6","mappings":{"default":{"default":"flèche d'un taquet droite"}},"category":"Sm"},{"key":"21A7","mappings":{"default":{"default":"flèche d'un taquet vers le bas"}},"category":"So"},{"key":"21A8","mappings":{"default":{"default":"flèche haut bas sur base"}},"category":"So"},{"key":"21A9","mappings":{"default":{"default":"flèche avec crochet gauche"}},"category":"So"},{"key":"21AA","mappings":{"default":{"default":"flèche avec crochet droite"}},"category":"So"},{"key":"21AB","mappings":{"default":{"default":"flèche avec boucle gauche"}},"category":"So"},{"key":"21AC","mappings":{"default":{"default":"flèche avec boucle droite"}},"category":"So"},{"key":"21AD","mappings":{"default":{"default":"flèche ondulée bilatérale"}},"category":"So"},{"key":"21AE","mappings":{"default":{"default":"flèche barrée bilatérale"}},"category":"Sm"},{"key":"21AF","mappings":{"default":{"default":"flèche vers le bas en zigzag"}},"category":"So"},{"key":"21B0","mappings":{"default":{"default":"flèche vers le haut avec pointe gauche"}},"category":"So"},{"key":"21B1","mappings":{"default":{"default":"flèche vers le haut avec pointe droite"}},"category":"So"},{"key":"21B2","mappings":{"default":{"default":"flèche vers le bas avec pointe gauche"}},"category":"So"},{"key":"21B3","mappings":{"default":{"default":"flèche vers le bas avec pointe droite"}},"category":"So"},{"key":"21B4","mappings":{"default":{"default":"flèche vers le bas avec coin droit"}},"category":"So"},{"key":"21B5","mappings":{"default":{"default":"flèche vers le bas avec coin gauche"}},"category":"So"},{"key":"21B6","mappings":{"default":{"default":"flèche semi circulaire en sens positif"}},"category":"So"},{"key":"21B7","mappings":{"default":{"default":"flèche semi circulaire en sens négatif"}},"category":"So"},{"key":"21B8","mappings":{"default":{"default":"flèche nord ouest vers une barre horizontale longue"}},"category":"So"},{"key":"21B9","mappings":{"default":{"default":"flèche gauche vers un taquet sur flèche droite vers un taquet"}},"category":"So"},{"key":"21BA","mappings":{"default":{"default":"flèche en sens positif à cercle ouvert"}},"category":"So"},{"key":"21BB","mappings":{"default":{"default":"flèche en sens négatif à cercle ouvert"}},"category":"So"},{"key":"21C4","mappings":{"default":{"default":"flèche vers le haut par dessus flèche gauche"}},"category":"So"},{"key":"21C5","mappings":{"default":{"default":"flèche vers le haut à gauche d'une flèche vers le bas"}},"category":"So"},{"key":"21C6","mappings":{"default":{"default":"flèche gauche par dessus flèche droite"}},"category":"So"},{"key":"21C7","mappings":{"default":{"default":"paire de flèches gauche"}},"category":"So"},{"key":"21C8","mappings":{"default":{"default":"paire de flèches vers le haut"}},"category":"So"},{"key":"21C9","mappings":{"default":{"default":"paire de flèches droite"}},"category":"So"},{"key":"21CA","mappings":{"default":{"default":"paire de flèches vers le bas"}},"category":"So"},{"key":"21CD","mappings":{"default":{"default":"double flèche barrée gauche"}},"category":"So"},{"key":"21CE","mappings":{"default":{"default":"double flèche barrée bilatérale"}},"category":"Sm"},{"key":"21CF","mappings":{"default":{"default":"double flèche barrée droite"}},"category":"Sm"},{"key":"21D0","mappings":{"default":{"default":"double flèche gauche"}},"category":"So"},{"key":"21D1","mappings":{"default":{"default":"double flèche vers le haut"}},"category":"So"},{"key":"21D2","mappings":{"default":{"default":"double flèche droite"}},"category":"Sm"},{"key":"21D3","mappings":{"default":{"default":"double flèche vers le bas"}},"category":"So"},{"key":"21D4","mappings":{"default":{"default":"double flèche bilatérale"}},"category":"Sm"},{"key":"21D5","mappings":{"default":{"default":"double flèche haut bas"}},"category":"So"},{"key":"21D6","mappings":{"default":{"default":"double flèche nord ouest"}},"category":"So"},{"key":"21D7","mappings":{"default":{"default":"double flèche nord est"}},"category":"So"},{"key":"21D8","mappings":{"default":{"default":"double flèche sud est"}},"category":"So"},{"key":"21D9","mappings":{"default":{"default":"double flèche sud ouest"}},"category":"So"},{"key":"21DA","mappings":{"default":{"default":"triple flèche gauche"}},"category":"So"},{"key":"21DB","mappings":{"default":{"default":"triple flèche droite"}},"category":"So"},{"key":"21DC","mappings":{"default":{"default":"flèche en tire bouchon gauche"}},"category":"So"},{"key":"21DD","mappings":{"default":{"default":"flèche en tire bouchon droite"}},"category":"So"},{"key":"21DE","mappings":{"default":{"default":"flèche vers le haut avec double barre"}},"category":"So"},{"key":"21DF","mappings":{"default":{"default":"flèche vers le bas avec double barre"}},"category":"So"},{"key":"21E0","mappings":{"default":{"default":"flèche pointillée gauche"}},"category":"So"},{"key":"21E1","mappings":{"default":{"default":"flèche pointillée vers le haut"}},"category":"So"},{"key":"21E2","mappings":{"default":{"default":"flèche pointillée droite"}},"category":"So"},{"key":"21E3","mappings":{"default":{"default":"flèche pointillée vers le bas"}},"category":"So"},{"key":"21E4","mappings":{"default":{"default":"flèche gauche vers un taquet"}},"category":"So"},{"key":"21E5","mappings":{"default":{"default":"flèche droite vers un taquet"}},"category":"So"},{"key":"21E6","mappings":{"default":{"default":"flèche blanche gauche"}},"category":"So"},{"key":"21E7","mappings":{"default":{"default":"flèche blanche vers le haut"}},"category":"So"},{"key":"21E8","mappings":{"default":{"default":"flèche blanche droite"}},"category":"So"},{"key":"21E9","mappings":{"default":{"default":"flèche blanche vers le bas"}},"category":"So"},{"key":"21EA","mappings":{"default":{"default":"flèche blanche vers le haut à partir d'un taquet"}},"category":"So"},{"category":"So","key":"21EB","mappings":{"default":{"default":"flèche blanche vers le haut sur socle"}}},{"category":"So","key":"21EC","mappings":{"default":{"default":"flèche blanche vers le haut sur socle et trait horizontal"}}},{"category":"So","key":"21ED","mappings":{"default":{"default":"flèche blanche vers le haut sur socle et barre verticale"}}},{"category":"So","key":"21EE","mappings":{"default":{"default":"double flèche blanche vers le haut"}}},{"category":"So","key":"21EF","mappings":{"default":{"default":"double flèche blanche vers le haut sur socle"}}},{"category":"So","key":"21F0","mappings":{"default":{"default":"flèche blanche vers la droite appuyée sur mur"}}},{"category":"So","key":"21F1","mappings":{"default":{"default":"flèche nord ouest en encoignure"}}},{"category":"So","key":"21F2","mappings":{"default":{"default":"flèche sud est en encoignure"}}},{"category":"So","key":"21F3","mappings":{"default":{"default":"flèche blanche vers le haut et le bas"}}},{"category":"Sm","key":"21F4","mappings":{"default":{"default":"flèche vers la droite à petit cercle"}}},{"key":"21F5","mappings":{"default":{"default":"flèche descendante à gauche d'une flèche montante"}},"category":"Sm"},{"category":"Sm","key":"21F6","mappings":{"default":{"default":"trois flèches vers la droite"}}},{"category":"Sm","key":"21F7","mappings":{"default":{"default":"flèche vers la gauche barrée verticalement"}}},{"category":"Sm","key":"21F8","mappings":{"default":{"default":"flèche vers la droite barrée verticalement"}}},{"category":"Sm","key":"21F9","mappings":{"default":{"default":"flèche vers la droite et la gauche barrée verticalement"}}},{"category":"Sm","key":"21FA","mappings":{"default":{"default":"flèche vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"21FB","mappings":{"default":{"default":"flèche vers la droite barrée deux fois verticalement"}}},{"category":"Sm","key":"21FC","mappings":{"default":{"default":"flèche bilatérale barrée deux fois verticalement"}}},{"key":"21FD","mappings":{"default":{"default":"flèche à tête creuse gauche"}},"category":"Sm"},{"key":"21FE","mappings":{"default":{"default":"flèche à tête creuse droite"}},"category":"Sm"},{"key":"21FF","mappings":{"default":{"default":"flèche à tête creuse bilatérale"}},"category":"Sm"},{"category":"So","key":"2301","mappings":{"default":{"default":"flèche électrique"}}},{"category":"So","key":"2303","mappings":{"default":{"default":"pointe de flèche vers le haut"}}},{"category":"So","key":"2304","mappings":{"default":{"default":"pointe de flèche vers le bas"}}},{"category":"So","key":"2324","mappings":{"default":{"default":"pointe de flèche vers le haut entre deux traits horizontaux"}}},{"category":"So","key":"238B","mappings":{"default":{"default":"cercle brisé à flèche nord ouest (échappement)"}}},{"category":"So","key":"2794","mappings":{"default":{"default":"flèche grasse vers la droite à pointe large"}}},{"category":"So","key":"2798","mappings":{"default":{"default":"flèche grasse sud est"}}},{"category":"So","key":"2799","mappings":{"default":{"default":"flèche grasse vers la droite grasse"}}},{"category":"So","key":"279A","mappings":{"default":{"default":"flèche grasse nord est"}}},{"category":"So","key":"279B","mappings":{"default":{"default":"flèche de traçage vers la droite"}}},{"category":"So","key":"279C","mappings":{"default":{"default":"flèche grasse à pointe arrondie vers la droite"}}},{"category":"So","key":"279D","mappings":{"default":{"default":"flèche à pointe en triangle vers la droite"}}},{"category":"So","key":"279E","mappings":{"default":{"default":"flèche grasse à pointe en triangle vers la droite"}}},{"category":"So","key":"279F","mappings":{"default":{"default":"flèche avec pointillés à pointe en triangle vers la droite"}}},{"category":"So","key":"27A0","mappings":{"default":{"default":"flèche grasse avec pointillés à pointe en triangle vers la droite"}}},{"category":"So","key":"27A1","mappings":{"default":{"default":"flèche noire vers la droite"}}},{"category":"So","key":"27A2","mappings":{"default":{"default":"pointe de flèche vers la droite en trompe l'œil éclairée par le haut"}}},{"category":"So","key":"27A3","mappings":{"default":{"default":"pointe de flèche vers la droite en trompe l'œil éclairée par le bas"}}},{"category":"So","key":"27A4","mappings":{"default":{"default":"pointe de flèche noire vers la droite"}}},{"category":"So","key":"27A5","mappings":{"default":{"default":"flèche noire grasse courbée vers le bas et vers la droite"}}},{"category":"So","key":"27A6","mappings":{"default":{"default":"flèche noire courbée vers le haut et vers la droite"}}},{"category":"So","key":"27A7","mappings":{"default":{"default":"flèche noire trapue vers la droite"}}},{"category":"So","key":"27A8","mappings":{"default":{"default":"flèche noire grasse à pointe concave vers la droite"}}},{"category":"So","key":"27A9","mappings":{"default":{"default":"flèche blanche vers la droite ombrée à l'avant"}}},{"category":"So","key":"27AA","mappings":{"default":{"default":"flèche blanche vers la droite ombrée à l'arrière"}}},{"category":"So","key":"27AB","mappings":{"default":{"default":"flèche blanche vers la droite penchée vers l'arrière et ombrée"}}},{"category":"So","key":"27AC","mappings":{"default":{"default":"flèche blanche vers la droite penchée vers l'avant et ombrée"}}},{"category":"So","key":"27AD","mappings":{"default":{"default":"flèche blanche grasse vers la droite à ombre inférieure droite"}}},{"category":"So","key":"27AE","mappings":{"default":{"default":"flèche blanche grasse vers la droite à ombre supérieure droite"}}},{"category":"So","key":"27AF","mappings":{"default":{"default":"flèche encochée blanche vers la droite ombrée à l'avant et par dessous"}}},{"category":"So","key":"27B1","mappings":{"default":{"default":"flèche encochée blanche vers la droite ombrée à l'avant et par dessus"}}},{"category":"So","key":"27B2","mappings":{"default":{"default":"flèche blanche grasse vers la droite à contour circulaire"}}},{"category":"So","key":"27B3","mappings":{"default":{"default":"flèche empennée blanche vers la droite"}}},{"category":"So","key":"27B4","mappings":{"default":{"default":"flèche empennée noir sud est"}}},{"category":"So","key":"27B5","mappings":{"default":{"default":"flèche empennée noir vers la droite"}}},{"category":"So","key":"27B6","mappings":{"default":{"default":"flèche empennée noir nord est"}}},{"category":"So","key":"27B7","mappings":{"default":{"default":"flèche empennée gras noire sud est"}}},{"category":"So","key":"27B8","mappings":{"default":{"default":"flèche empennée gras noire vers la droite"}}},{"category":"So","key":"27B9","mappings":{"default":{"default":"flèche empennée gras noire nord est"}}},{"category":"So","key":"27BA","mappings":{"default":{"default":"flèche vers la droite à pointe larmée"}}},{"category":"So","key":"27BB","mappings":{"default":{"default":"flèche vers la droite à hampe larmée"}}},{"category":"So","key":"27BC","mappings":{"default":{"default":"flèche vers la droite à queue en forme de coin"}}},{"category":"So","key":"27BD","mappings":{"default":{"default":"flèche grasse vers la droite à queue en forme de coin"}}},{"category":"So","key":"27BE","mappings":{"default":{"default":"flèche vers la droite à contour ouvert"}}},{"category":"Sm","key":"27F0","mappings":{"default":{"default":"quadruple flèche vers le haut"}}},{"category":"Sm","key":"27F1","mappings":{"default":{"default":"quadruple flèche vers le bas"}}},{"category":"Sm","key":"27F2","mappings":{"default":{"default":"flèche sens antihoraire entrouverte"}}},{"category":"Sm","key":"27F3","mappings":{"default":{"default":"flèche sens horaire entrouverte"}}},{"category":"Sm","key":"27F4","mappings":{"default":{"default":"flèche vers la droite à signe plus cerclé"}}},{"key":"27F5","mappings":{"default":{"default":"longue flèche gauche"}},"category":"Sm"},{"key":"27F6","mappings":{"default":{"default":"longue flèche droite"}},"category":"Sm"},{"key":"27F7","mappings":{"default":{"default":"longue flèche bilatérale"}},"category":"Sm"},{"key":"27F8","mappings":{"default":{"default":"longue double flèche gauche"}},"category":"Sm"},{"key":"27F9","mappings":{"default":{"default":"longue double flèche droite"}},"category":"Sm"},{"key":"27FA","mappings":{"default":{"default":"longue double flèche bilatérale"}},"category":"Sm"},{"category":"Sm","key":"27FB","mappings":{"default":{"default":"longue flèche d'un taquet vers la gauche"}}},{"key":"27FC","mappings":{"default":{"default":"longue flèche d'un taquet droite"}},"category":"Sm"},{"category":"Sm","key":"27FD","mappings":{"default":{"default":"longue double flèche d'un taquet vers la gauche"}}},{"category":"Sm","key":"27FE","mappings":{"default":{"default":"longue double flèche d'un taquet vers la droite"}}},{"key":"27FF","mappings":{"default":{"default":"longue flèche en tire bouchon droite"}},"category":"Sm"},{"category":"Sm","key":"2900","mappings":{"default":{"default":"flèche à deux pointes vers la droite barrée verticalement"}}},{"category":"Sm","key":"2901","mappings":{"default":{"default":"flèche à deux pointes vers la droite barrée deux fois verticalement"}}},{"category":"Sm","key":"2902","mappings":{"default":{"default":"double flèche vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2903","mappings":{"default":{"default":"double flèche vers la droite barrée verticalement"}}},{"category":"Sm","key":"2904","mappings":{"default":{"default":"flèche bilatérale double barrée verticalement"}}},{"key":"2905","mappings":{"default":{"default":"flèche à deux têtes d'un taquet droite"}},"category":"Sm"},{"category":"Sm","key":"2906","mappings":{"default":{"default":"double flèche d'un taquet vers la gauche"}}},{"category":"Sm","key":"2907","mappings":{"default":{"default":"double flèche d'un taquet vers la droite"}}},{"category":"Sm","key":"2908","mappings":{"default":{"default":"flèche vers le bas barrée horizontalement"}}},{"category":"Sm","key":"2909","mappings":{"default":{"default":"flèche vers le haut barrée horizontalement"}}},{"category":"Sm","key":"290A","mappings":{"default":{"default":"triple flèche vers le haut"}}},{"category":"Sm","key":"290B","mappings":{"default":{"default":"triple flèche vers le bas"}}},{"key":"290C","mappings":{"default":{"default":"flèche à deux traits gauche"}},"category":"Sm"},{"key":"290D","mappings":{"default":{"default":"flèche à deux traits droite"}},"category":"Sm"},{"key":"290E","mappings":{"default":{"default":"flèche à trois traits gauche"}},"category":"Sm"},{"key":"290F","mappings":{"default":{"default":"flèche à trois traits droite"}},"category":"Sm"},{"key":"2910","mappings":{"default":{"default":"flèche à trois traits et à deux têtes droite"}},"category":"Sm"},{"key":"2911","mappings":{"default":{"default":"flèche à fût pointillé droite"}},"category":"Sm"},{"key":"2912","mappings":{"default":{"default":"flèche jusqu'à taquet vers le haut"}},"category":"Sm"},{"key":"2913","mappings":{"default":{"default":"flèche jusqu'à taquet vers le bas"}},"category":"Sm"},{"category":"Sm","key":"2914","mappings":{"default":{"default":"flèche empennée vers la droite barrée verticalement"}}},{"category":"Sm","key":"2915","mappings":{"default":{"default":"flèche empennée vers la droite barrée deux fois verticalement"}}},{"key":"2916","mappings":{"default":{"default":"flèche empennée à deux têtes droite"}},"category":"Sm"},{"category":"Sm","key":"2917","mappings":{"default":{"default":"flèche empennée à deux têtes vers la droite barrée verticalement"}}},{"category":"Sm","key":"2918","mappings":{"default":{"default":"flèche empennée à deux têtes vers la droite barrée deux fois verticalement"}}},{"key":"2919","mappings":{"default":{"default":"empenne gauche"}},"category":"Sm"},{"category":"Sm","key":"291A","mappings":{"default":{"default":"empenne vers la droite"}}},{"key":"291B","mappings":{"default":{"default":"double empenne gauche"}},"category":"Sm"},{"key":"291C","mappings":{"default":{"default":"double empenne droite"}},"category":"Sm"},{"key":"291D","mappings":{"default":{"default":"flèche vers un losange noir à gauche"}},"category":"Sm"},{"key":"291E","mappings":{"default":{"default":"flèche vers un losange noir à droite"}},"category":"Sm"},{"key":"291F","mappings":{"default":{"default":"flèche d'un taquet vers un losange noir à gauche"}},"category":"Sm"},{"key":"2920","mappings":{"default":{"default":"flèche d'un taquet vers un losange noir à droite"}},"category":"Sm"},{"category":"Sm","key":"2921","mappings":{"default":{"default":"flèche nord ouest et sud est"}}},{"category":"Sm","key":"2922","mappings":{"default":{"default":"flèche nord est et sud ouest"}}},{"key":"2923","mappings":{"default":{"default":"flèche nord ouest à crochet"}},"category":"Sm"},{"key":"2924","mappings":{"default":{"default":"flèche nord est à crochet"}},"category":"Sm"},{"key":"2925","mappings":{"default":{"default":"flèche sud est à crochet"}},"category":"Sm"},{"key":"2926","mappings":{"default":{"default":"flèche sud ouest à crochet"}},"category":"Sm"},{"key":"2927","mappings":{"default":{"default":"flèches nord ouest et nord est"}},"category":"Sm"},{"key":"2928","mappings":{"default":{"default":"flèches nord est et sud est"}},"category":"Sm"},{"key":"2929","mappings":{"default":{"default":"flèches sud est et sud ouest"}},"category":"Sm"},{"key":"292A","mappings":{"default":{"default":"flèches sud ouest et nord ouest"}},"category":"Sm"},{"category":"Sm","key":"292D","mappings":{"default":{"default":"flèche sud est sur flèche nord est"}}},{"category":"Sm","key":"292E","mappings":{"default":{"default":"flèche nord est sur flèche sud est"}}},{"category":"Sm","key":"292F","mappings":{"default":{"default":"diagonale descendante sur flèche nord est"}}},{"category":"Sm","key":"2930","mappings":{"default":{"default":"diagonale montante sur flèche sud est"}}},{"category":"Sm","key":"2931","mappings":{"default":{"default":"flèche nord est sur flèche nord ouest"}}},{"category":"Sm","key":"2932","mappings":{"default":{"default":"flèche nord ouest sur flèche nord est"}}},{"key":"2933","mappings":{"default":{"default":"flèche bossue droite"}},"category":"Sm"},{"category":"Sm","key":"2934","mappings":{"default":{"default":"flèche courbe vers la droite puis le haut"}}},{"key":"2935","mappings":{"default":{"default":"flèche courbe vers la droite puis le bas"}},"category":"Sm"},{"key":"2936","mappings":{"default":{"default":"flèche courbe vers le bas puis la gauche"}},"category":"Sm"},{"key":"2937","mappings":{"default":{"default":"flèche courbe vers le bas puis la droite"}},"category":"Sm"},{"key":"2938","mappings":{"default":{"default":"côté droit d'arc fléché sens horaire"}},"category":"Sm"},{"key":"2939","mappings":{"default":{"default":"côté gauche d'arc fléché sens antihoraire"}},"category":"Sm"},{"category":"Sm","key":"293A","mappings":{"default":{"default":"arc supérieur fléché sens antihoraire"}}},{"category":"Sm","key":"293B","mappings":{"default":{"default":"arc inférieur fléché sens antihoraire"}}},{"key":"293C","mappings":{"default":{"default":"arc fléché sens horaire et signe moins souscrit"}},"category":"Sm"},{"key":"293D","mappings":{"default":{"default":"arc fléché sens antihoraire et signe plus souscrit"}},"category":"Sm"},{"category":"Sm","key":"293E","mappings":{"default":{"default":"demi cercle fléché inférieur droit sens horaire"}}},{"category":"Sm","key":"293F","mappings":{"default":{"default":"demi cercle fléché inférieur gauche sens antihoraire"}}},{"category":"Sm","key":"2940","mappings":{"default":{"default":"cercle fléché sens antihoraire"}}},{"category":"Sm","key":"2941","mappings":{"default":{"default":"cercle fléché sens horaire"}}},{"category":"Sm","key":"2942","mappings":{"default":{"default":"flèche vers la droite surmontant fléchette vers la gauche"}}},{"category":"Sm","key":"2943","mappings":{"default":{"default":"flèche vers la gauche surmontant fléchette vers la droite"}}},{"category":"Sm","key":"2944","mappings":{"default":{"default":"fléchette vers la droite surmontant flèche vers la gauche"}}},{"key":"2945","mappings":{"default":{"default":"flèche droite surmontant signe moins"}},"category":"Sm"},{"category":"Sm","key":"2946","mappings":{"default":{"default":"flèche vers la gauche surmontant signe plus"}}},{"category":"Sm","key":"2947","mappings":{"default":{"default":"flèche vers la droite au travers un x"}}},{"key":"2948","mappings":{"default":{"default":"petit cercle traversé d'une flèche bilatérale"}},"category":"Sm"},{"key":"2949","mappings":{"default":{"default":"petit cercle surmonté d'une flèche montante à deux têtes"}},"category":"Sm"},{"key":"2970","mappings":{"default":{"default":"flèche en épingle à cheveu droite"}},"category":"Sm"},{"key":"2971","mappings":{"default":{"default":"flèche droite surmontée d'un égal"}},"category":"Sm"},{"key":"2972","mappings":{"default":{"default":"flèche droite surmontée d'un tilde"}},"category":"Sm"},{"key":"2973","mappings":{"default":{"default":"tilde surmonté d'une flèche gauche"}},"category":"Sm"},{"key":"2974","mappings":{"default":{"default":"tilde surmonté d'une flèche droite"}},"category":"Sm"},{"key":"2975","mappings":{"default":{"default":"presque égal à surmonté d'une flèche droite"}},"category":"Sm"},{"key":"2976","mappings":{"default":{"default":"inférieur à surmonté d'une flèche gauche"}},"category":"Sm"},{"category":"Sm","key":"2977","mappings":{"default":{"default":"flèche vers la gauche à travers un inférieur à"}}},{"key":"2978","mappings":{"default":{"default":"flèche droite surmontée d'un supérieur à"}},"category":"Sm"},{"key":"2979","mappings":{"default":{"default":"flèche droite surmontée d'un sous ensemble de"}},"category":"Sm"},{"category":"Sm","key":"297A","mappings":{"default":{"default":"flèche vers la gauche au travers d'un sous ensemble de"}}},{"key":"297B","mappings":{"default":{"default":"flèche gauche surmontée d'un sur ensemble de"}},"category":"Sm"},{"key":"29B3","mappings":{"default":{"default":"ensemble vide flèche droite en chef"}},"category":"Sm"},{"key":"29B4","mappings":{"default":{"default":"ensemble vide flèche gauche en chef"}},"category":"Sm"},{"category":"Sm","key":"29BD","mappings":{"default":{"default":"cercle traversé d'une flèche montante"}}},{"category":"Sm","key":"29EA","mappings":{"default":{"default":"losange noir à flèche vers le bas"}}},{"category":"Sm","key":"29EC","mappings":{"default":{"default":"cercle blanc à flèche vers le bas"}}},{"category":"Sm","key":"29ED","mappings":{"default":{"default":"cercle noir à flèche vers le bas"}}},{"key":"2A17","mappings":{"default":{"default":"intégrale à crosse fléchée gauche"}},"category":"Sm"},{"category":"So","key":"2B00","mappings":{"default":{"default":"flèche blanche nord est"}}},{"category":"So","key":"2B01","mappings":{"default":{"default":"flèche blanche nord ouest"}}},{"category":"So","key":"2B02","mappings":{"default":{"default":"flèche blanche sud est"}}},{"category":"So","key":"2B03","mappings":{"default":{"default":"flèche blanche sud ouest"}}},{"category":"So","key":"2B04","mappings":{"default":{"default":"flèche blanche bilatérale"}}},{"category":"So","key":"2B05","mappings":{"default":{"default":"flèche noire vers la gauche"}}},{"category":"So","key":"2B06","mappings":{"default":{"default":"flèche noire vers le haut"}}},{"category":"So","key":"2B07","mappings":{"default":{"default":"flèche noire vers le bas"}}},{"category":"So","key":"2B08","mappings":{"default":{"default":"flèche noire nord est"}}},{"category":"So","key":"2B09","mappings":{"default":{"default":"flèche noire nord ouest"}}},{"category":"So","key":"2B0A","mappings":{"default":{"default":"flèche noire sud est"}}},{"category":"So","key":"2B0B","mappings":{"default":{"default":"flèche noire sud ouest"}}},{"category":"So","key":"2B0C","mappings":{"default":{"default":"flèche noire bilatérale"}}},{"category":"So","key":"2B0D","mappings":{"default":{"default":"flèche noire haut et bas"}}},{"category":"So","key":"2B0E","mappings":{"default":{"default":"flèche vers la droite à pointe pliée vers le bas"}}},{"category":"So","key":"2B0F","mappings":{"default":{"default":"flèche vers la droite à pointe pliée vers le haut"}}},{"category":"So","key":"2B10","mappings":{"default":{"default":"flèche vers la gauche à pointe pliée vers le bas"}}},{"category":"So","key":"2B11","mappings":{"default":{"default":"flèche vers la gauche à pointe pliée vers le haut"}}},{"category":"Sm","key":"2B30","mappings":{"default":{"default":"flèche vers la gauche à petit cercle"}}},{"category":"Sm","key":"2B31","mappings":{"default":{"default":"trois flèches vers la gauche"}}},{"category":"Sm","key":"2B32","mappings":{"default":{"default":"flèche vers la gauche à signe plus cerclé"}}},{"category":"Sm","key":"2B33","mappings":{"default":{"default":"longue flèche vers la gauche en tire bouchon"}}},{"category":"Sm","key":"2B34","mappings":{"default":{"default":"flèche à deux pointes vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2B35","mappings":{"default":{"default":"flèche à deux pointes vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"2B36","mappings":{"default":{"default":"flèche à deux têtes d'un taquet vers la gauche"}}},{"category":"Sm","key":"2B37","mappings":{"default":{"default":"flèche à trois traits et à deux têtes vers la gauche"}}},{"category":"Sm","key":"2B38","mappings":{"default":{"default":"flèche vers la gauche à fût pointillé"}}},{"category":"Sm","key":"2B39","mappings":{"default":{"default":"flèche empennée vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2B3A","mappings":{"default":{"default":"flèche empennée vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"2B3B","mappings":{"default":{"default":"flèche empennée à deux têtes vers la gauche"}}},{"category":"Sm","key":"2B3C","mappings":{"default":{"default":"flèche empennée à deux têtes vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2B3D","mappings":{"default":{"default":"flèche empennée à deux têtes vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"2B3E","mappings":{"default":{"default":"flèche vers la gauche au travers un x"}}},{"category":"Sm","key":"2B3F","mappings":{"default":{"default":"flèche vers la gauche bossue"}}},{"category":"Sm","key":"2B40","mappings":{"default":{"default":"flèche vers la gauche surmontée d'un égal"}}},{"category":"Sm","key":"2B41","mappings":{"default":{"default":"flèche vers la gauche surmontée d'un tilde"}}},{"category":"Sm","key":"2B42","mappings":{"default":{"default":"presque égal à réfléchi surmonté d'une flèche vers la gauche"}}},{"category":"Sm","key":"2B43","mappings":{"default":{"default":"flèche vers la droite à travers un inférieur à"}}},{"category":"Sm","key":"2B44","mappings":{"default":{"default":"flèche vers la droite au travers d'un sous ensemble de"}}},{"category":"So","key":"2B45","mappings":{"default":{"default":"quadruple flèche vers la gauche"}}},{"category":"So","key":"2B46","mappings":{"default":{"default":"quadruple flèche vers la droite"}}},{"category":"Sm","key":"2B47","mappings":{"default":{"default":"flèche vers la droite surmontée d'un opérateur tilde réfléchi"}}},{"category":"Sm","key":"2B48","mappings":{"default":{"default":"presque égal à réfléchi surmonté d'une flèche vers la droite"}}},{"category":"Sm","key":"2B49","mappings":{"default":{"default":"flèche vers la gauche surmontée de l'opérateur tilde"}}},{"category":"Sm","key":"2B4A","mappings":{"default":{"default":"flèche vers la gauche par dessus presque égal à"}}},{"category":"Sm","key":"2B4B","mappings":{"default":{"default":"tilde réfléchi surmonté d'une flèche vers la gauche"}}},{"category":"Sm","key":"2B4C","mappings":{"default":{"default":"ilde surmonté d'une flèche vers la droite"}}},{"category":"Sm","key":"FFE9","mappings":{"default":{"default":"flèche vers la gauche demi chasse"}}},{"category":"Sm","key":"FFEA","mappings":{"default":{"default":"flèche vers le haut demi chasse"}}},{"category":"Sm","key":"FFEB","mappings":{"default":{"default":"flèche vers la droite demi chasse"}}},{"category":"Sm","key":"FFEC","mappings":{"default":{"default":"flèche vers le bas demi chasse"}}}]
+,
+"fr/symbols/math_characters.js": 
+[{"locale":"fr"},{"key":"2113","mappings":{"default":{"default":"l minuscule en script"}},"category":"Ll"},{"key":"2118","mappings":{"default":{"default":"fonction elliptique de weierstrass"}},"category":"Sm"},{"category":"Ll","key":"213C","mappings":{"default":{"default":"pi ajouré"}}},{"category":"Ll","key":"213D","mappings":{"default":{"default":"gamma ajouré"}}},{"category":"Lu","key":"213E","mappings":{"default":{"default":"Gamma majuscule ajouré"}}},{"category":"Lu","key":"213F","mappings":{"default":{"default":"Pi majuscule ajouré"}}},{"category":"Sm","key":"2140","mappings":{"default":{"default":"sommation de la famille ajouré"}}},{"key":"2145","mappings":{"default":{"default":"D majuscule"}},"category":"Lu"},{"key":"2146","mappings":{"default":{"default":"d ajouré en italique"}},"category":"Ll"},{"key":"2147","mappings":{"default":{"default":"e ajouré en italique"}},"category":"Ll"},{"key":"2148","mappings":{"default":{"default":"i ajouré en italique"}},"category":"Ll"},{"category":"Ll","key":"2149","mappings":{"default":{"default":"j ajouré en italique"}}},{"key":"1D6A4","mappings":{"default":{"default":"dotless i"}},"category":"Ll"},{"key":"1D6A5","mappings":{"default":{"default":"dotless j"}},"category":"Ll"}]
+,
+"fr/symbols/math_delimiters.js": 
+[{"locale":"fr"},{"key":"0028","mappings":{"default":{"default":"parenthèse gauche","alternative":"parenthèse ouvrante"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"parenthèse droite","alternative":"parenthèse fermante"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"crochet gauche","alternative":"crochet ouvrant"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"crochet droit","alternative":"crochet fermant"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"accolade gauche","alternative":"accolade ouvrante"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"accolade droite","alternative":"accolade fermante"}},"category":"Pe"},{"category":"Ps","key":"2045","mappings":{"default":{"default":"crochet gauche avec pique"}}},{"category":"Pe","key":"2046","mappings":{"default":{"default":"crochet droit avec pique"}}},{"key":"2308","mappings":{"default":{"default":"plafond à gauche"}},"category":"Sm"},{"key":"2309","mappings":{"default":{"default":"plafond à droite"}},"category":"Sm"},{"key":"230A","mappings":{"default":{"default":"plancher à gauche"}},"category":"Sm"},{"key":"230B","mappings":{"default":{"default":"plancher à droite"}},"category":"Sm"},{"key":"230C","mappings":{"default":{"default":"repère sud est"}},"category":"So"},{"key":"230D","mappings":{"default":{"default":"repère sud ouest"}},"category":"So"},{"key":"230E","mappings":{"default":{"default":"repère nord est"}},"category":"So"},{"key":"230F","mappings":{"default":{"default":"repère nord ouest"}},"category":"So"},{"key":"231C","mappings":{"default":{"default":"coin nord ouest"}},"category":"So"},{"key":"231D","mappings":{"default":{"default":"coin nord est"}},"category":"So"},{"key":"231E","mappings":{"default":{"default":"coin sud ouest"}},"category":"So"},{"key":"231F","mappings":{"default":{"default":"coin sud est"}},"category":"So"},{"key":"2320","mappings":{"default":{"default":"moitié supérieure d'intégrale"}},"category":"Sm"},{"key":"2321","mappings":{"default":{"default":"moitié inférieure d'intégrale"}},"category":"Sm"},{"key":"2329","mappings":{"default":{"default":"chevron gauche"}},"category":"Ps"},{"key":"232A","mappings":{"default":{"default":"chevron droite"}},"category":"Pe"},{"category":"Sm","key":"239B","mappings":{"default":{"default":"arc supérieur de parenthèse gauche"}}},{"category":"Sm","key":"239C","mappings":{"default":{"default":"rallonge de parenthèse gauche"}}},{"category":"Sm","key":"239D","mappings":{"default":{"default":"arc inférieur de parenthèse gauche"}}},{"category":"Sm","key":"239E","mappings":{"default":{"default":"arc supérieur de parenthèse droite"}}},{"category":"Sm","key":"239F","mappings":{"default":{"default":"rallonge de parenthèse droite"}}},{"category":"Sm","key":"23A0","mappings":{"default":{"default":"arc inférieur de parenthèse droite"}}},{"category":"Sm","key":"23A1","mappings":{"default":{"default":"coin supérieur de crochet gauche"}}},{"category":"Sm","key":"23A2","mappings":{"default":{"default":"rallonge de crochet gauche"}}},{"category":"Sm","key":"23A3","mappings":{"default":{"default":"coin inférieur de crochet gauche"}}},{"category":"Sm","key":"23A4","mappings":{"default":{"default":"coin supérieur de crochet droit"}}},{"category":"Sm","key":"23A5","mappings":{"default":{"default":"rallonge de crochet droit"}}},{"category":"Sm","key":"23A6","mappings":{"default":{"default":"coin inférieur de crochet droit"}}},{"category":"Sm","key":"23A7","mappings":{"default":{"default":"arc supérieur d'accolade gauche"}}},{"category":"Sm","key":"23A8","mappings":{"default":{"default":"milieu d'accolade gauche"}}},{"category":"Sm","key":"23A9","mappings":{"default":{"default":"arc inférieur d'accolade gauche"}}},{"category":"Sm","key":"23AA","mappings":{"default":{"default":"rallonge d'accolade"}}},{"category":"Sm","key":"23AB","mappings":{"default":{"default":"arc supérieur d'accolade droite"}}},{"category":"Sm","key":"23AC","mappings":{"default":{"default":"milieu d'accolade droite"}}},{"category":"Sm","key":"23AD","mappings":{"default":{"default":"arc inférieur d'accolade droite"}}},{"category":"Sm","key":"23AE","mappings":{"default":{"default":"rallonge d'intégrale"}}},{"category":"Sm","key":"23AF","mappings":{"default":{"default":"rallonge de ligne horizontale"}}},{"key":"23B0","mappings":{"default":{"default":"moitié supérieure gauche ou inférieure droite d'accolade"}},"category":"Sm"},{"key":"23B1","mappings":{"default":{"default":"moitié supérieure droite ou inférieure gauche d'accolade"}},"category":"Sm"},{"category":"Sm","key":"23B2","mappings":{"default":{"default":"haut du signe de somme"}}},{"category":"Sm","key":"23B3","mappings":{"default":{"default":"bas du signe de somme"}}},{"key":"23B4","mappings":{"default":{"default":"crochet vertical supérieur"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"crochet vertical inférieur"}},"category":"So"},{"category":"So","key":"23B6","mappings":{"default":{"default":"crochet verticaux en défilé"}}},{"category":"So","key":"23B7","mappings":{"default":{"default":"bas du radical"}}},{"category":"So","key":"23B8","mappings":{"default":{"default":"filet vertical gauche"}}},{"category":"So","key":"23B9","mappings":{"default":{"default":"filet vertical droit"}}},{"key":"23DC","mappings":{"default":{"default":"parenthèse supérieure"}},"category":"Sm"},{"key":"23DD","mappings":{"default":{"default":"parenthèse inférieure"}},"category":"Sm"},{"key":"23DE","mappings":{"default":{"default":"accolade supérieure"}},"category":"Sm"},{"key":"23DF","mappings":{"default":{"default":"accolade inférieure"}},"category":"Sm"},{"key":"23E0","mappings":{"default":{"default":"crochet en écaille supérieur"}},"category":"Sm"},{"key":"23E1","mappings":{"default":{"default":"crochet en écaille inférieur"}},"category":"Sm"},{"category":"Ps","key":"2768","mappings":{"default":{"default":"parenthèse de fantaisie gauche demi grasse"}}},{"category":"Pe","key":"2769","mappings":{"default":{"default":"parenthèse de fantaisie droite demi grasse"}}},{"category":"Ps","key":"276A","mappings":{"default":{"default":"parenthèse de fantaisie gauche demi grasse aplatie"}}},{"category":"Pe","key":"276B","mappings":{"default":{"default":"parenthèse de fantaisie droite demi grasse aplatie"}}},{"category":"Ps","key":"276C","mappings":{"default":{"default":"chevron de fantaisie vers la gauche demi gras"}}},{"category":"Pe","key":"276D","mappings":{"default":{"default":"chevron de fantaisie vers la droite demi gras"}}},{"category":"Ps","key":"276E","mappings":{"default":{"default":"guillemet de fantaisie vers la gauche gras"}}},{"category":"Pe","key":"276F","mappings":{"default":{"default":"guillemet de fantaisie vers la droite gras"}}},{"category":"Ps","key":"2770","mappings":{"default":{"default":"crochet de fantaisie vers la gauche gras"}}},{"category":"Pe","key":"2771","mappings":{"default":{"default":"crochet de fantaisie vers la droite gras"}}},{"category":"Ps","key":"2772","mappings":{"default":{"default":"crochet de fantaisie gauche maigre en écaille"}}},{"category":"Pe","key":"2773","mappings":{"default":{"default":"crochet de fantaisie droit maigre en écaille"}}},{"category":"Ps","key":"2774","mappings":{"default":{"default":"accolade de fantaisie gauche moyenne"}}},{"category":"Pe","key":"2775","mappings":{"default":{"default":"accolade de fantaisie droite moyenne"}}},{"key":"27C5","mappings":{"default":{"default":"délimiteur de sac en s gauche"}},"category":"Ps"},{"key":"27C6","mappings":{"default":{"default":"délimiteur de sac en s droite"}},"category":"Pe"},{"key":"27E6","mappings":{"default":{"default":"crochet blanc gauche"}},"category":"Ps"},{"key":"27E7","mappings":{"default":{"default":"crochet blanc droit"}},"category":"Pe"},{"key":"27E8","mappings":{"default":{"default":"chevron mathématique gauche"}},"category":"Ps"},{"key":"27E9","mappings":{"default":{"default":"chevron droit"}},"category":"Pe"},{"key":"27EA","mappings":{"default":{"default":"double chevron gauche"}},"category":"Ps"},{"key":"27EB","mappings":{"default":{"default":"double chevron droit"}},"category":"Pe"},{"key":"27EC","mappings":{"default":{"default":"crochet gauche en écaille blanche"}},"category":"Ps"},{"key":"27ED","mappings":{"default":{"default":"crochet droit en écaille blanche"}},"category":"Pe"},{"key":"27EE","mappings":{"default":{"default":"parenthèse gauche aplatie"}},"category":"Ps"},{"key":"27EF","mappings":{"default":{"default":"parenthèse droite aplatie"}},"category":"Pe"},{"category":"Ps","key":"2983","mappings":{"default":{"default":"accolade gauche ajourée"}}},{"category":"Pe","key":"2984","mappings":{"default":{"default":"accolade droite ajourée"}}},{"key":"2985","mappings":{"default":{"default":"parenthèse gauche ajourée"}},"category":"Ps"},{"key":"2986","mappings":{"default":{"default":"parenthèse droite ajourée"}},"category":"Pe"},{"category":"Ps","key":"2987","mappings":{"default":{"default":"parenthèse image de gauche en notation z"}}},{"category":"Pe","key":"2988","mappings":{"default":{"default":"parenthèse image de droite en notation z"}}},{"key":"2989","mappings":{"default":{"default":"z notation left binding bracket"}},"category":"Ps"},{"key":"298A","mappings":{"default":{"default":"z notation right binding bracket"}},"category":"Pe"},{"key":"298B","mappings":{"default":{"default":"crochet gauche avec barre souscrite"}},"category":"Ps"},{"key":"298C","mappings":{"default":{"default":"crochet droit avec barre souscrite"}},"category":"Pe"},{"key":"298D","mappings":{"default":{"default":"crochet gauche avec trait dans le coin supérieur"}},"category":"Ps"},{"key":"298E","mappings":{"default":{"default":"crochet droit avec trait dans le coin inférieur"}},"category":"Pe"},{"key":"298F","mappings":{"default":{"default":"crochet gauche avec trait dans le coin inférieur"}},"category":"Ps"},{"key":"2990","mappings":{"default":{"default":"crochet droit avec trait dans le coin supérieur"}},"category":"Pe"},{"key":"2991","mappings":{"default":{"default":"chevron gauche pointé"}},"category":"Ps"},{"key":"2992","mappings":{"default":{"default":"chevron droit pointé"}},"category":"Pe"},{"key":"2993","mappings":{"default":{"default":"parenthèse arc gauche et inférieur à"}},"category":"Ps"},{"key":"2994","mappings":{"default":{"default":"parenthèse arc droite et supérieur à"}},"category":"Pe"},{"key":"2995","mappings":{"default":{"default":"parenthèse double arc droite et supérieur à"}},"category":"Ps"},{"key":"2996","mappings":{"default":{"default":"parenthèse double arc gauche et inférieur à"}},"category":"Pe"},{"category":"Ps","key":"2997","mappings":{"default":{"default":"crochet noir gauche en écaille"}}},{"category":"Pe","key":"2998","mappings":{"default":{"default":"crochet noir droite en écaille"}}},{"category":"Ps","key":"29D8","mappings":{"default":{"default":"clôture dentelée gauche"}}},{"category":"Pe","key":"29D9","mappings":{"default":{"default":"clôture dentelée droite"}}},{"key":"29DA","mappings":{"default":{"default":"double clôture dentelée gauche"}},"category":"Ps"},{"key":"29DB","mappings":{"default":{"default":"right double wiggly fence"}},"category":"Pe"},{"category":"Ps","key":"29FC","mappings":{"default":{"default":"chevron vers la gauche courbé"}}},{"category":"Pe","key":"29FD","mappings":{"default":{"default":"chevron vers la droite courbé"}}},{"category":"Ps","key":"2E22","mappings":{"default":{"default":"anglet supérieur gauche"}}},{"category":"Pe","key":"2E23","mappings":{"default":{"default":"anglet supérieur droit"}}},{"category":"Ps","key":"2E24","mappings":{"default":{"default":"anglet inférieur gauche"}}},{"category":"Pe","key":"2E25","mappings":{"default":{"default":"anglet inférieur droit"}}},{"category":"Ps","key":"2E26","mappings":{"default":{"default":"crampillon couché gauche"}}},{"category":"Pe","key":"2E27","mappings":{"default":{"default":"crampillon couché droit"}}},{"category":"Ps","key":"2E28","mappings":{"default":{"default":"double parenthèse gauche"}}},{"category":"Pe","key":"2E29","mappings":{"default":{"default":"double parenthèse droite"}}},{"category":"Ps","key":"3008","mappings":{"default":{"default":"chevron gauche"}}},{"category":"Pe","key":"3009","mappings":{"default":{"default":"chevron droit"}}},{"key":"300A","mappings":{"default":{"default":"double chevron gauche"}},"category":"Ps"},{"key":"300B","mappings":{"default":{"default":"double chevron droit"}},"category":"Pe"},{"category":"Ps","key":"300C","mappings":{"default":{"default":"anglet gauche"}}},{"category":"Pe","key":"300D","mappings":{"default":{"default":"anglet droit"}}},{"category":"Ps","key":"300E","mappings":{"default":{"default":"anglet ajouré gauche"}}},{"category":"Pe","key":"300F","mappings":{"default":{"default":"anglet ajouré droit"}}},{"category":"Ps","key":"3010","mappings":{"default":{"default":"crochet noir lenticulaire gauche"}}},{"category":"Pe","key":"3011","mappings":{"default":{"default":"crochet noir lenticulaire droit"}}},{"key":"3014","mappings":{"default":{"default":"crochet gauche en écaille"}},"category":"Ps"},{"key":"3015","mappings":{"default":{"default":"crochet droit en écaille"}},"category":"Pe"},{"category":"Ps","key":"3016","mappings":{"default":{"default":"crochet blanc lenticulaire gauche"}}},{"category":"Pe","key":"3017","mappings":{"default":{"default":"crochet blanc lenticulaire droit"}}},{"category":"Ps","key":"3018","mappings":{"default":{"default":"crochet blanc gauche en écaille"}}},{"category":"Pe","key":"3019","mappings":{"default":{"default":"crochet blanc droit en écaille"}}},{"key":"301A","mappings":{"default":{"default":"crochet blanc gauche"}},"category":"Ps"},{"key":"301B","mappings":{"default":{"default":"crochet blanc droit"}},"category":"Pe"},{"category":"Ps","key":"301D","mappings":{"default":{"default":"guillemet double prime réfléchi"}}},{"key":"301E","mappings":{"default":{"default":"guillemet double prime"}},"category":"Pe"},{"category":"Pe","key":"301F","mappings":{"default":{"default":"guillemet double prime inférieur"}}},{"category":"Ps","key":"FD3E","mappings":{"default":{"default":"parenthèse gauche ornée"}}},{"category":"Pe","key":"FD3F","mappings":{"default":{"default":"parenthèse droite ornée"}}},{"category":"Ps","key":"FE17","mappings":{"default":{"default":"forme de présentation de crochet blanc lenticulaire gauche vertical"}}},{"category":"Pe","key":"FE18","mappings":{"default":{"default":"forme de présentation de crochet blanc lenticulaire droit vertical"}}},{"key":"FE35","mappings":{"default":{"default":"forme de présentation de parenthèse gauche verticale"}},"category":"Ps"},{"key":"FE36","mappings":{"default":{"default":"forme de présentation de parenthèse droite verticale"}},"category":"Pe"},{"key":"FE37","mappings":{"default":{"default":"forme de présentation d'accolade gauche verticale"}},"category":"Ps"},{"key":"FE38","mappings":{"default":{"default":"forme de présentation d'accolade droite verticale"}},"category":"Pe"},{"category":"Ps","key":"FE39","mappings":{"default":{"default":"forme de présentation de crochet gauche vertical en écaille"}}},{"category":"Pe","key":"FE3A","mappings":{"default":{"default":"forme de présentation de crochet droit vertical en écaille"}}},{"category":"Ps","key":"FE3B","mappings":{"default":{"default":"forme de présentation de crochet gauche lenticulaire noir vertical"}}},{"category":"Pe","key":"FE3C","mappings":{"default":{"default":"forme de présentation de crochet droit lenticulaire noir vertical"}}},{"category":"Ps","key":"FE3D","mappings":{"default":{"default":"forme de présentation de crochet double gauche vertical"}}},{"category":"Pe","key":"FE3E","mappings":{"default":{"default":"forme de présentation de crochet double droit vertical"}}},{"key":"FE3F","mappings":{"default":{"default":"over angle bracket"}},"category":"Ps"},{"key":"FE40","mappings":{"default":{"default":"under angle bracket"}},"category":"Pe"},{"category":"Ps","key":"FE41","mappings":{"default":{"default":"forme de présentation de crochet vertical gauche en coin"}}},{"category":"Pe","key":"FE42","mappings":{"default":{"default":"forme de présentation de crochet vertical droit en coin"}}},{"category":"Ps","key":"FE43","mappings":{"default":{"default":"forme de présentation de crochet blanc vertical gauche en coin"}}},{"category":"Pe","key":"FE44","mappings":{"default":{"default":"forme de présentation de crochet blanc vertical droit en coin"}}},{"category":"Ps","key":"FE47","mappings":{"default":{"default":"forme de présentation de crochet gauche vertical"}}},{"category":"Pe","key":"FE48","mappings":{"default":{"default":"forme de présentation de crochet droit vertical"}}},{"category":"Ps","key":"FE59","mappings":{"default":{"default":"parenthèse gauche minuscule"}}},{"category":"Pe","key":"FE5A","mappings":{"default":{"default":"parenthèse droite minuscule"}}},{"category":"Ps","key":"FE5B","mappings":{"default":{"default":"accolade gauche minuscule"}}},{"category":"Pe","key":"FE5C","mappings":{"default":{"default":"accolade droite minuscule"}}},{"category":"Ps","key":"FE5D","mappings":{"default":{"default":"crochet gauche en écaille minuscule"}}},{"category":"Pe","key":"FE5E","mappings":{"default":{"default":"crochet droit en écaille minuscule"}}},{"category":"Ps","key":"FF08","mappings":{"default":{"default":"parenthèse gauche pleine chasse"}}},{"category":"Pe","key":"FF09","mappings":{"default":{"default":"parenthèse droite pleine chasse"}}},{"category":"Ps","key":"FF3B","mappings":{"default":{"default":"crochet gauche pleine chasse"}}},{"category":"Pe","key":"FF3D","mappings":{"default":{"default":"crochet droit pleine chasse"}}},{"category":"Ps","key":"FF5B","mappings":{"default":{"default":"accolade gauche pleine chasse"}}},{"category":"Pe","key":"FF5D","mappings":{"default":{"default":"accolade droite pleine chasse"}}},{"category":"Ps","key":"FF5F","mappings":{"default":{"default":"parenthèse gauche ajourée pleine chasse *"}}},{"category":"Pe","key":"FF60","mappings":{"default":{"default":"parenthèse droite ajourée pleine chasse *"}}},{"category":"Ps","key":"FF62","mappings":{"default":{"default":"crochet gauche en coin demi chasse"}}},{"category":"Pe","key":"FF63","mappings":{"default":{"default":"crochet droit en coin demi chasse"}}}]
+,
+"fr/symbols/math_geometry.js": 
+[{"locale":"fr"},{"key":"2500","mappings":{"default":{"default":"filet horizontal fin"}},"category":"So"},{"category":"So","key":"2501","mappings":{"default":{"default":"filet horizontal gras"}}},{"key":"2502","mappings":{"default":{"default":"filet vertical fin"}},"category":"So"},{"category":"So","key":"2503","mappings":{"default":{"default":"filet vertical gras"}}},{"category":"So","key":"2504","mappings":{"default":{"default":"filet brisé triple horizontal fin"}}},{"category":"So","key":"2505","mappings":{"default":{"default":"filet brisé triple horizontal gras"}}},{"category":"So","key":"2506","mappings":{"default":{"default":"filet brisé triple vertical fin"}}},{"category":"So","key":"2507","mappings":{"default":{"default":"filet brisé triple vertical gras"}}},{"category":"So","key":"2508","mappings":{"default":{"default":"filet brisé quadruple horizontal fin"}}},{"category":"So","key":"2509","mappings":{"default":{"default":"filet brisé quadruple horizontal gras"}}},{"category":"So","key":"250A","mappings":{"default":{"default":"filet brisé quadruple vertical fin"}}},{"category":"So","key":"250B","mappings":{"default":{"default":"filet brisé quadruple vertical gras"}}},{"key":"250C","mappings":{"default":{"default":"filet fin vers le bas et vers la droite"}},"category":"So"},{"category":"So","key":"250D","mappings":{"default":{"default":"filet fin vers le bas et gras vers la droite"}}},{"category":"So","key":"250E","mappings":{"default":{"default":"filet gras vers le bas et fin vers la droite"}}},{"category":"So","key":"250F","mappings":{"default":{"default":"filet gras vers le bas et vers la droite"}}},{"key":"2510","mappings":{"default":{"default":"filet fin vers le bas et vers la gauche"}},"category":"So"},{"category":"So","key":"2511","mappings":{"default":{"default":"filet fin vers le bas et gras vers la gauche"}}},{"category":"So","key":"2512","mappings":{"default":{"default":"filet gras vers le bas et fin vers la gauche"}}},{"category":"So","key":"2513","mappings":{"default":{"default":"filet gras vers le bas et vers la gauche"}}},{"key":"2514","mappings":{"default":{"default":"filet fin vers le haut et vers la droite"}},"category":"So"},{"category":"So","key":"2515","mappings":{"default":{"default":"filet fin vers le haut et gras vers la droite"}}},{"category":"So","key":"2516","mappings":{"default":{"default":"filet gras vers le haut et fin vers la droite"}}},{"category":"So","key":"2517","mappings":{"default":{"default":"filet gras vers le haut et vers la droite"}}},{"key":"2518","mappings":{"default":{"default":"filet fin vers le haut et vers la gauche"}},"category":"So"},{"category":"So","key":"2519","mappings":{"default":{"default":"filet fin vers le haut et gras vers la gauche"}}},{"category":"So","key":"251A","mappings":{"default":{"default":"filet gras vers le haut et fin vers la gauche"}}},{"category":"So","key":"251B","mappings":{"default":{"default":"filet gras vers le haut et vers la gauche"}}},{"key":"251C","mappings":{"default":{"default":"filet fin vertical et vers la droite"}},"category":"So"},{"category":"So","key":"251D","mappings":{"default":{"default":"filet fin vertical et gras vers la droite"}}},{"category":"So","key":"251E","mappings":{"default":{"default":"filet gras vers le haut et fin vers la droite et vers le bas"}}},{"category":"So","key":"251F","mappings":{"default":{"default":"filet gras vers le bas et fin vers la droite et vers le haut"}}},{"category":"So","key":"2520","mappings":{"default":{"default":"filet gras vertical et fin vers la droite"}}},{"category":"So","key":"2521","mappings":{"default":{"default":"filet fin vers le bas et gras vers la droite et vers le haut"}}},{"category":"So","key":"2522","mappings":{"default":{"default":"filet fin vers le haut et gras vers la droite et vers le bas"}}},{"category":"So","key":"2523","mappings":{"default":{"default":"filet gras vertical et vers la droite"}}},{"key":"2524","mappings":{"default":{"default":"filet fin vertical et vers la gauche"}},"category":"So"},{"category":"So","key":"2525","mappings":{"default":{"default":"filet fin vertical et gras vers la gauche"}}},{"category":"So","key":"2526","mappings":{"default":{"default":"filet gras vers le haut et fin vers la gauche et vers le bas"}}},{"category":"So","key":"2527","mappings":{"default":{"default":"filet gras vers le bas et fin vers la gauche et vers le haut"}}},{"category":"So","key":"2528","mappings":{"default":{"default":"filet gras vertical et fin vers la gauche"}}},{"category":"So","key":"2529","mappings":{"default":{"default":"filet fin vers le bas et gras vers la gauche et vers le haut"}}},{"category":"So","key":"252A","mappings":{"default":{"default":"filet fin vers le haut et gras vers la gauche et vers le bas"}}},{"category":"So","key":"252B","mappings":{"default":{"default":"filet gras vertical et vers la gauche"}}},{"key":"252C","mappings":{"default":{"default":"filet fin vers le bas et horizontal"}},"category":"So"},{"category":"So","key":"252D","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite et vers le bas"}}},{"category":"So","key":"252E","mappings":{"default":{"default":"filet gras vers la droite et fin vers la gauche et vers le bas"}}},{"category":"So","key":"252F","mappings":{"default":{"default":"filet fin vers le bas et gras horizontal"}}},{"category":"So","key":"2530","mappings":{"default":{"default":"filet gras vers le bas et fin horizontal"}}},{"category":"So","key":"2531","mappings":{"default":{"default":"filet fin vers la droite et gras vers la gauche et vers le bas"}}},{"category":"So","key":"2532","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite et vers le bas"}}},{"category":"So","key":"2533","mappings":{"default":{"default":"filet gras vers le bas et horizontal"}}},{"key":"2534","mappings":{"default":{"default":"filet fin vers le haut et horizontal"}},"category":"So"},{"category":"So","key":"2535","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite et vers le haut"}}},{"category":"So","key":"2536","mappings":{"default":{"default":"filet gras vers la droite et fin vers la gauche et vers le haut"}}},{"category":"So","key":"2537","mappings":{"default":{"default":"filet fin vers le haut et gras horizontal"}}},{"category":"So","key":"2538","mappings":{"default":{"default":"filet gras vers le haut et fin horizontal"}}},{"category":"So","key":"2539","mappings":{"default":{"default":"filet fin vers la droite et gras vers la gauche et vers le haut"}}},{"category":"So","key":"253A","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite et vers le haut"}}},{"category":"So","key":"253B","mappings":{"default":{"default":"filet gras vers le haut et horizontal"}}},{"key":"253C","mappings":{"default":{"default":"filet fin vertical et horizontal"}},"category":"So"},{"category":"So","key":"253D","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite et vertical"}}},{"category":"So","key":"253E","mappings":{"default":{"default":"filet gras vers la droite et fin vers la gauche et vertical"}}},{"category":"So","key":"253F","mappings":{"default":{"default":"filet vertical fin et horizontal gras"}}},{"category":"So","key":"2540","mappings":{"default":{"default":"filet gras vers le haut et fin vers le bas et horizontal"}}},{"category":"So","key":"2541","mappings":{"default":{"default":"filet gras vers le bas et fin vers le haut et horizontal"}}},{"category":"So","key":"2542","mappings":{"default":{"default":"filet vertical gras et horizontal fin"}}},{"category":"So","key":"2543","mappings":{"default":{"default":"filet gras vers la gauche et vers le haut et fin vers la droite et vers le bas"}}},{"category":"So","key":"2544","mappings":{"default":{"default":"filet gras vers la droite et vers le haut et fin vers la gauche et vers le bas"}}},{"category":"So","key":"2545","mappings":{"default":{"default":"filet gras vers la gauche et vers le bas et fin vers la droite et vers le haut"}}},{"category":"So","key":"2546","mappings":{"default":{"default":"filet gras vers la droite et vers le bas et fin vers la gauche et vers le haut"}}},{"category":"So","key":"2547","mappings":{"default":{"default":"filet fin vers le bas et gras vers le haut et horizontal"}}},{"category":"So","key":"2548","mappings":{"default":{"default":"filet fin vers le haut et gras vers le bas et horizontal"}}},{"category":"So","key":"2549","mappings":{"default":{"default":"filet fin vers la droite et gras vers la gauche et vertical"}}},{"category":"So","key":"254A","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite et vertical"}}},{"category":"So","key":"254B","mappings":{"default":{"default":"filet vertical et horizontal gras"}}},{"category":"So","key":"254C","mappings":{"default":{"default":"filet brisé double horizontal fin"}}},{"category":"So","key":"254D","mappings":{"default":{"default":"filet brisé double horizontal gras"}}},{"category":"So","key":"254E","mappings":{"default":{"default":"filet brisé double vertical fin"}}},{"category":"So","key":"254F","mappings":{"default":{"default":"filet brisé double vertical gras"}}},{"key":"2550","mappings":{"default":{"default":"filet double horizontal"}},"category":"So"},{"key":"2551","mappings":{"default":{"default":"filet double vertical"}},"category":"So"},{"key":"2552","mappings":{"default":{"default":"filet simple le bas et double vers la droite"}},"category":"So"},{"key":"2553","mappings":{"default":{"default":"filet double vers le bas et simple vers la droite"}},"category":"So"},{"key":"2554","mappings":{"default":{"default":"filet double vers le bas et vers la droite"}},"category":"So"},{"key":"2555","mappings":{"default":{"default":"filet simple vers le bas et double vers la gauche"}},"category":"So"},{"key":"2556","mappings":{"default":{"default":"filet double vers le bas et simple vers la gauche"}},"category":"So"},{"key":"2557","mappings":{"default":{"default":"filet double vers le bas et vers la gauche"}},"category":"So"},{"key":"2558","mappings":{"default":{"default":"filet simple vers le haut et double vers la droite"}},"category":"So"},{"key":"2559","mappings":{"default":{"default":"filet double vers le haut et simple vers la droite"}},"category":"So"},{"key":"255A","mappings":{"default":{"default":"filet double vers le haut et vers la droite"}},"category":"So"},{"key":"255B","mappings":{"default":{"default":"filet simple vers le haut et double vers la gauche"}},"category":"So"},{"key":"255C","mappings":{"default":{"default":"filet double vers le haut et simple vers la gauche"}},"category":"So"},{"key":"255D","mappings":{"default":{"default":"filet double vers le haut et vers la gauche"}},"category":"So"},{"key":"255E","mappings":{"default":{"default":"filet vertical simple et droit double"}},"category":"So"},{"key":"255F","mappings":{"default":{"default":"filet vertical double et droit simple"}},"category":"So"},{"key":"2560","mappings":{"default":{"default":"filet double vertical et vers la droite"}},"category":"So"},{"key":"2561","mappings":{"default":{"default":"filet vertical simple et gauche double"}},"category":"So"},{"key":"2562","mappings":{"default":{"default":"filet vertical double et gauche simple"}},"category":"So"},{"key":"2563","mappings":{"default":{"default":"filet double vertical et vers la gauche"}},"category":"So"},{"key":"2564","mappings":{"default":{"default":"filet vers le bas simple et horizontal double"}},"category":"So"},{"key":"2565","mappings":{"default":{"default":"filet vers le bas double et horizontal simple"}},"category":"So"},{"key":"2566","mappings":{"default":{"default":"filet double vers le bas et horizontal"}},"category":"So"},{"key":"2567","mappings":{"default":{"default":"filet vers le haut simple et horizontal double"}},"category":"So"},{"key":"2568","mappings":{"default":{"default":"filet vers le haut double et horizontal simple"}},"category":"So"},{"key":"2569","mappings":{"default":{"default":"filet double vers le haut et horizontal"}},"category":"So"},{"key":"256A","mappings":{"default":{"default":"filet vertical simple et horizontal double"}},"category":"So"},{"key":"256B","mappings":{"default":{"default":"filet vertical double et horizontal simple"}},"category":"So"},{"key":"256C","mappings":{"default":{"default":"filet double vertical et horizontall"}},"category":"So"},{"category":"So","key":"256D","mappings":{"default":{"default":"filet fin arc vers le bas et vers la droite"}}},{"category":"So","key":"256E","mappings":{"default":{"default":"filet fin arc vers le bas et vers la gauche"}}},{"category":"So","key":"256F","mappings":{"default":{"default":"filet fin arc vers le haut et vers la gauche"}}},{"category":"So","key":"2570","mappings":{"default":{"default":"filet fin arc vers le haut et vers la droite"}}},{"category":"So","key":"2571","mappings":{"default":{"default":"filet diagonal fin du coin supérieur droit au coin inférieur gauche"}}},{"category":"So","key":"2572","mappings":{"default":{"default":"filet diagonal fin du coin supérieur gauche vers le coin inférieur droit"}}},{"category":"So","key":"2573","mappings":{"default":{"default":"filet diagonal fin en croix"}}},{"category":"So","key":"2574","mappings":{"default":{"default":"filet fin vers la gauche"}}},{"category":"So","key":"2575","mappings":{"default":{"default":"filet fin vers le haut"}}},{"category":"So","key":"2576","mappings":{"default":{"default":"filet fin vers la droite"}}},{"category":"So","key":"2577","mappings":{"default":{"default":"filet fin vers le bas"}}},{"category":"So","key":"2578","mappings":{"default":{"default":"filet gras vers la gauche"}}},{"category":"So","key":"2579","mappings":{"default":{"default":"filet gras vers le haut"}}},{"category":"So","key":"257A","mappings":{"default":{"default":"filet gras vers la droite"}}},{"category":"So","key":"257B","mappings":{"default":{"default":"filet gras vers le bas"}}},{"category":"So","key":"257C","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite"}}},{"category":"So","key":"257D","mappings":{"default":{"default":"filet fin vers le haut et gras vers le bas"}}},{"category":"So","key":"257E","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite"}}},{"category":"So","key":"257F","mappings":{"default":{"default":"filet gras vers le haut et fin vers le bas"}}},{"key":"2580","mappings":{"default":{"default":"moitié supérieure de pavé"}},"category":"So"},{"category":"So","key":"2581","mappings":{"default":{"default":"huitième inférieur de pavé"}}},{"category":"So","key":"2582","mappings":{"default":{"default":"quart inférieur de pavé"}}},{"category":"So","key":"2583","mappings":{"default":{"default":"trois huitièmes inférieurs de pavé"}}},{"key":"2584","mappings":{"default":{"default":"moitié inférieure de pavé"}},"category":"So"},{"category":"So","key":"2585","mappings":{"default":{"default":"cinq huitièmes inférieurs de pavé"}}},{"category":"So","key":"2586","mappings":{"default":{"default":"trois quarts inférieurs de pavé"}}},{"category":"So","key":"2587","mappings":{"default":{"default":"sept huitièmes inférieurs de pavé"}}},{"key":"2588","mappings":{"default":{"default":"pavé plein"}},"category":"So"},{"category":"So","key":"2589","mappings":{"default":{"default":"sept huitièmes gauches de pavé"}}},{"category":"So","key":"258A","mappings":{"default":{"default":"trois quarts gauches de pavé"}}},{"category":"So","key":"258B","mappings":{"default":{"default":"cinq huitièmes gauches de pavé"}}},{"category":"So","key":"258C","mappings":{"default":{"default":"moitié gauche de pavé"}}},{"category":"So","key":"258D","mappings":{"default":{"default":"trois huitièmes gauches de pavé"}}},{"category":"So","key":"258E","mappings":{"default":{"default":"un quart gauche de pavé"}}},{"category":"So","key":"258F","mappings":{"default":{"default":"un huitième gauche de pavé"}}},{"category":"So","key":"2590","mappings":{"default":{"default":"moitié droite de pavé"}}},{"key":"2591","mappings":{"default":{"default":"ombre légère"}},"category":"So"},{"key":"2592","mappings":{"default":{"default":"ombre moyenne"}},"category":"So"},{"key":"2593","mappings":{"default":{"default":"ombre foncée"}},"category":"So"},{"category":"So","key":"2594","mappings":{"default":{"default":"huitième supérieur de pavé"}}},{"category":"So","key":"2595","mappings":{"default":{"default":"huitième droit de pavé"}}},{"category":"So","key":"2596","mappings":{"default":{"default":"quadrant inférieur gauche"}}},{"category":"So","key":"2597","mappings":{"default":{"default":"quadrant inférieur droit"}}},{"category":"So","key":"2598","mappings":{"default":{"default":"quadrant supérieur gauche"}}},{"category":"So","key":"2599","mappings":{"default":{"default":"quadrant supérieur gauche inférieur gauche et inférieur droit"}}},{"category":"So","key":"259A","mappings":{"default":{"default":"quadrant supérieur gauche et inférieur droit"}}},{"category":"So","key":"259B","mappings":{"default":{"default":"quadrant supérieur gauche supérieur droit et inférieur gauche"}}},{"category":"So","key":"259C","mappings":{"default":{"default":"quadrant supérieur gauche supérieur droit et inférieur droit"}}},{"category":"So","key":"259D","mappings":{"default":{"default":"quadrant supérieur droit"}}},{"category":"So","key":"259E","mappings":{"default":{"default":"quadrant supérieur droit et inférieur gauche"}}},{"category":"So","key":"259F","mappings":{"default":{"default":"quadrant supérieur droit inférieur gauche et inférieur droit"}}},{"key":"25A0","mappings":{"default":{"default":"petit carré noir"}},"category":"So"},{"key":"25A1","mappings":{"default":{"default":"carré blanc"}},"category":"So"},{"category":"So","key":"25A2","mappings":{"default":{"default":"carré blanc aux coins arrondis"}}},{"category":"So","key":"25A3","mappings":{"default":{"default":"petit carré noir inscrit dans un carré blanc"}}},{"category":"So","key":"25A4","mappings":{"default":{"default":"carré hachuré horizontalement"}}},{"category":"So","key":"25A5","mappings":{"default":{"default":"carré hachuré verticalement"}}},{"category":"So","key":"25A6","mappings":{"default":{"default":"carré quadrillé"}}},{"category":"So","key":"25A7","mappings":{"default":{"default":"carré hachuré du haut à gauche vers le bas à droite"}}},{"category":"So","key":"25A8","mappings":{"default":{"default":"carré hachuré du haut à droite vers le bas à gauche"}}},{"category":"So","key":"25A9","mappings":{"default":{"default":"carré quadrillé en diagonale"}}},{"key":"25AA","mappings":{"default":{"default":"petit carré noir"}},"category":"So"},{"key":"25AB","mappings":{"default":{"default":"petit carré blanc"}},"category":"So"},{"category":"So","key":"25AC","mappings":{"default":{"default":"rectangle noir"}}},{"key":"25AD","mappings":{"default":{"default":"rectangle blanc"}},"category":"So"},{"key":"25AE","mappings":{"default":{"default":"rectangle vertical noir"}},"category":"So"},{"key":"25AF","mappings":{"default":{"default":"white vertical rectangle"}},"category":"So"},{"category":"So","key":"25B0","mappings":{"default":{"default":"parallélogramme noir"}}},{"key":"25B1","mappings":{"default":{"default":"parallélogramme blanc"}},"category":"So"},{"key":"25B2","mappings":{"default":{"default":"petit triangle noir pointant vers le haut"}},"category":"So"},{"key":"25B3","mappings":{"default":{"default":"triangle blanc pointant vers le haut"}},"category":"So"},{"key":"25B4","mappings":{"default":{"default":"petit triangle noir pointant vers le haut"}},"category":"So"},{"key":"25B5","mappings":{"default":{"default":"petit triangle blanc pointant vers le haut"}},"category":"So"},{"key":"25B6","mappings":{"default":{"default":"petit triangle noir pointant vers la droite"}},"category":"So"},{"key":"25B7","mappings":{"default":{"default":"triangle blanc pointant vers la droite"}},"category":"Sm"},{"key":"25B8","mappings":{"default":{"default":"petit triangle noir pointant vers la droite"}},"category":"So"},{"key":"25B9","mappings":{"default":{"default":"petit triangle blanc pointant vers la droite"}},"category":"So"},{"category":"So","key":"25BA","mappings":{"default":{"default":"pointeur noir vers la droite"}}},{"category":"So","key":"25BB","mappings":{"default":{"default":"pointeur blanc vers la droite"}}},{"key":"25BC","mappings":{"default":{"default":"petit triangle noir pointant vers le bas"}},"category":"So"},{"key":"25BD","mappings":{"default":{"default":"triangle blanc pointant vers le bas"}},"category":"So"},{"key":"25BE","mappings":{"default":{"default":"petit triangle noir pointant vers le bas"}},"category":"So"},{"key":"25BF","mappings":{"default":{"default":"petit triangle blanc pointant vers le bas"}},"category":"So"},{"key":"25C0","mappings":{"default":{"default":"petit triangle noir pointant vers la gauche"}},"category":"So"},{"key":"25C1","mappings":{"default":{"default":"petit triangle blanc pointant vers la gauche"}},"category":"Sm"},{"key":"25C2","mappings":{"default":{"default":"petit triangle noir pointant vers la gauche"}},"category":"So"},{"key":"25C3","mappings":{"default":{"default":"petit triangle blanc pointant vers la gauche"}},"category":"So"},{"key":"25C4","mappings":{"default":{"default":"pointeur noir vers la gauche"}},"category":"So"},{"key":"25C5","mappings":{"default":{"default":"pointeur blanc vers la gauche"}},"category":"So"},{"key":"25C6","mappings":{"default":{"default":"losange noir"}},"category":"So"},{"key":"25C7","mappings":{"default":{"default":"losange blanc"}},"category":"So"},{"key":"25C8","mappings":{"default":{"default":"losange blanc évidé"}},"category":"So"},{"key":"25C9","mappings":{"default":{"default":"cercle blanc évidé"}},"category":"So"},{"key":"25CA","mappings":{"default":{"default":"losange"}},"category":"So"},{"key":"25CB","mappings":{"default":{"default":"cercle blanc"}},"category":"So"},{"key":"25CC","mappings":{"default":{"default":"cercle en pointillés"}},"category":"So"},{"key":"25CD","mappings":{"default":{"default":"cercle hachuré verticalement"}},"category":"So"},{"key":"25CE","mappings":{"default":{"default":"deux cercles concentriques"}},"category":"So"},{"key":"25CF","mappings":{"default":{"default":"cercle noir"}},"category":"So"},{"key":"25D0","mappings":{"default":{"default":"cercle avec moitié gauche noire"}},"category":"So"},{"key":"25D1","mappings":{"default":{"default":"cercle avec moitié droite noire"}},"category":"So"},{"key":"25D2","mappings":{"default":{"default":"cercle avec moitié inférieure"}},"category":"So"},{"key":"25D3","mappings":{"default":{"default":"cercle avec moitié supérieure"}},"category":"So"},{"key":"25D4","mappings":{"default":{"default":"cercle avec quadrant supérieur droit noir"}},"category":"So"},{"key":"25D5","mappings":{"default":{"default":"disque avec quadrant supérieur gauche blanc"}},"category":"So"},{"key":"25D6","mappings":{"default":{"default":"demi disque gauche noir"}},"category":"So"},{"key":"25D7","mappings":{"default":{"default":"demi disque droite noir"}},"category":"So"},{"key":"25D8","mappings":{"default":{"default":"point noir au blanc"}},"category":"So"},{"key":"25D9","mappings":{"default":{"default":"cercle noir au blanc"}},"category":"So"},{"key":"25DA","mappings":{"default":{"default":"demi cercle supérieur noir au  blanc"}},"category":"So"},{"key":"25DB","mappings":{"default":{"default":"demi cercle inférieur noir au  blanc"}},"category":"So"},{"key":"25DC","mappings":{"default":{"default":"arc de cercle dans le quadrant supérieur gauchearc de cercle dans le quadrant supérieur gauche"}},"category":"So"},{"key":"25DD","mappings":{"default":{"default":"arc de cercle dans le quadrant supérieur droit"}},"category":"So"},{"key":"25DE","mappings":{"default":{"default":"arc de cercle dans le quadrant inférieur droit"}},"category":"So"},{"key":"25DF","mappings":{"default":{"default":"arc de cercle dans le quadrant inférieur gauche"}},"category":"So"},{"key":"25E0","mappings":{"default":{"default":"demi cercle supérieur"}},"category":"So"},{"key":"25E1","mappings":{"default":{"default":"demi cercle inférieur"}},"category":"So"},{"key":"25E2","mappings":{"default":{"default":"coin triangulaire noir inférieur droit"}},"category":"So"},{"key":"25E3","mappings":{"default":{"default":"coin triangulaire noir inférieur gauche"}},"category":"So"},{"key":"25E4","mappings":{"default":{"default":"coin triangulaire noir supérieur gauche"}},"category":"So"},{"key":"25E5","mappings":{"default":{"default":"coin triangulaire noir supérieur droit"}},"category":"So"},{"key":"25E6","mappings":{"default":{"default":"opérateur rond"}},"category":"So"},{"key":"25E7","mappings":{"default":{"default":"carré à moitié gauche noire"}},"category":"So"},{"key":"25E8","mappings":{"default":{"default":"carré à moitié droite noire"}},"category":"So"},{"key":"25E9","mappings":{"default":{"default":"carré à moitié supérieure gauche noire"}},"category":"So"},{"key":"25EA","mappings":{"default":{"default":"carré à moitié inférieure droite noire"}},"category":"So"},{"key":"25EB","mappings":{"default":{"default":"carré blanc à ligne bissectrice verticale"}},"category":"So"},{"key":"25EC","mappings":{"default":{"default":"triangle blanc pointant vers le haut pointé"}},"category":"So"},{"key":"25ED","mappings":{"default":{"default":"triangle pointe vers le haut À moitié gauche noire"}},"category":"So"},{"key":"25EE","mappings":{"default":{"default":"triangle pointe vers le haut À moitié droite noire"}},"category":"So"},{"key":"25EF","mappings":{"default":{"default":"grand cercle"}},"category":"So"},{"category":"So","key":"25F0","mappings":{"default":{"default":"carré blanc à quartier supérieur gauche"}}},{"category":"So","key":"25F1","mappings":{"default":{"default":"carré blanc à quartier inférieur gauche"}}},{"category":"So","key":"25F2","mappings":{"default":{"default":"carré blanc à quartier inférieur droit"}}},{"category":"So","key":"25F3","mappings":{"default":{"default":"carré blanc à quartier supérieur droit"}}},{"category":"So","key":"25F4","mappings":{"default":{"default":"cercle blanc à quartier supérieur gauche"}}},{"category":"So","key":"25F5","mappings":{"default":{"default":"cercle blanc à quartier inférieur gauche"}}},{"category":"So","key":"25F6","mappings":{"default":{"default":"cercle blanc à quartier inférieur droit"}}},{"category":"So","key":"25F7","mappings":{"default":{"default":"cercle blanc à quartier supérieur droit"}}},{"key":"25F8","mappings":{"default":{"default":"triangle rectangle supérieur gauche"}},"category":"Sm"},{"key":"25F9","mappings":{"default":{"default":"triangle rectangle supérieur droit"}},"category":"Sm"},{"key":"25FA","mappings":{"default":{"default":"triangle rectangle inférieur gauche"}},"category":"Sm"},{"key":"25FB","mappings":{"default":{"default":"carré moyen blanc"}},"category":"Sm"},{"key":"25FC","mappings":{"default":{"default":"carré moyen noir"}},"category":"Sm"},{"key":"25FD","mappings":{"default":{"default":"carré moyen blanc"}},"category":"Sm"},{"key":"25FE","mappings":{"default":{"default":"carré moyen noir"}},"category":"Sm"},{"key":"25FF","mappings":{"default":{"default":"triangle rectangle inférieur droit"}},"category":"Sm"},{"category":"So","key":"2B12","mappings":{"default":{"default":"carré à moitié supérieure noire"}}},{"category":"So","key":"2B13","mappings":{"default":{"default":"carré à moitié inférieure noire"}}},{"category":"So","key":"2B14","mappings":{"default":{"default":"carré à moitié diagonale supérieure droite noire"}}},{"category":"So","key":"2B15","mappings":{"default":{"default":"carré à moitié diagonale inférieure droite noire"}}},{"category":"So","key":"2B16","mappings":{"default":{"default":"losange à moitié gauche noire"}}},{"category":"So","key":"2B17","mappings":{"default":{"default":"losange à moitié droite noire"}}},{"category":"So","key":"2B18","mappings":{"default":{"default":"losange à moitié supérieure noire"}}},{"category":"So","key":"2B19","mappings":{"default":{"default":"losange à moitié inférieure noire"}}},{"category":"So","key":"2B1A","mappings":{"default":{"default":"carré en pointillés"}}},{"category":"So","key":"2B1B","mappings":{"default":{"default":"grand carré noir"}}},{"category":"So","key":"2B1C","mappings":{"default":{"default":"grand carré blanc"}}},{"category":"So","key":"2B1D","mappings":{"default":{"default":"très petit carré noir"}}},{"category":"So","key":"2B1E","mappings":{"default":{"default":"très petit carré blanc"}}},{"category":"So","key":"2B1F","mappings":{"default":{"default":"pentagone noir"}}},{"category":"So","key":"2B20","mappings":{"default":{"default":"pentagone blanc"}}},{"category":"So","key":"2B21","mappings":{"default":{"default":"hexagone blanc"}}},{"category":"So","key":"2B22","mappings":{"default":{"default":"hexagone noir"}}},{"category":"So","key":"2B23","mappings":{"default":{"default":"hexagone noir posé sur un côté"}}},{"category":"So","key":"2B24","mappings":{"default":{"default":"grand cercle noir"}}},{"category":"So","key":"2B25","mappings":{"default":{"default":"losange moyen noir"}}},{"category":"So","key":"2B26","mappings":{"default":{"default":"losange moyen blanc"}}},{"category":"So","key":"2B27","mappings":{"default":{"default":"rhombe moyen noir"}}},{"category":"So","key":"2B28","mappings":{"default":{"default":"rhombe moyen blanc"}}},{"category":"So","key":"2B29","mappings":{"default":{"default":"petit losange noir"}}},{"category":"So","key":"2B2A","mappings":{"default":{"default":"petit rhombe noir"}}},{"category":"So","key":"2B2B","mappings":{"default":{"default":"petit rhombe blanc"}}},{"category":"So","key":"2B2C","mappings":{"default":{"default":"ellipse horizontale noire"}}},{"category":"So","key":"2B2D","mappings":{"default":{"default":"ellipse horizontale blanche"}}},{"category":"So","key":"2B2E","mappings":{"default":{"default":"ellipse verticale noire"}}},{"category":"So","key":"2B2F","mappings":{"default":{"default":"ellipse verticale blanche"}}},{"key":"2B50","mappings":{"default":{"default":"étoile blanche moyenne"}},"category":"So"},{"key":"2B51","mappings":{"default":{"default":"petite étoile noire"}},"category":"So"},{"key":"2B52","mappings":{"default":{"default":"petite étoile blanche"}},"category":"So"},{"category":"So","key":"2B53","mappings":{"default":{"default":"pentagone noir pointant vers la droite"}}},{"category":"So","key":"2B54","mappings":{"default":{"default":"pentagone blanc pointant vers la droite"}}},{"category":"So","key":"2B55","mappings":{"default":{"default":"grand cercle gras"}}},{"category":"So","key":"2B56","mappings":{"default":{"default":"ovale gras avec ovale inscrit"}}},{"category":"So","key":"2B57","mappings":{"default":{"default":"cercle gras avec cercle inscrit"}}},{"category":"So","key":"2B58","mappings":{"default":{"default":"cercle gras"}}},{"category":"So","key":"2B59","mappings":{"default":{"default":"sautoir cerclé gras"}}}]
+,
+"fr/symbols/math_harpoons.js": 
+[{"locale":"fr"},{"key":"21BC","mappings":{"default":{"default":"harpon gauche avec dent dressée"}},"category":"So"},{"key":"21BD","mappings":{"default":{"default":"harpon gauche avec dent baissée"}},"category":"So"},{"key":"21BE","mappings":{"default":{"default":"harpon vers le haut avec dent droite"}},"category":"So"},{"key":"21BF","mappings":{"default":{"default":"harpon vers le haut avec dent gauche"}},"category":"So"},{"key":"21C0","mappings":{"default":{"default":"harpon droit avec dent dressée"}},"category":"So"},{"key":"21C1","mappings":{"default":{"default":"harpon droit avec dent baissée"}},"category":"So"},{"key":"21C2","mappings":{"default":{"default":"harpon vers le bas avec dent droite"}},"category":"So"},{"key":"21C3","mappings":{"default":{"default":"harpon vers le bas avec dent gauche"}},"category":"So"},{"key":"21CB","mappings":{"default":{"default":"harpon gauche par dessus harpon droit"}},"category":"So"},{"key":"21CC","mappings":{"default":{"default":"harpon droit par dessus harpon gauche"}},"category":"So"},{"key":"294A","mappings":{"default":{"default":"javelot à dents gauche dressée et droite baissée"}},"category":"Sm"},{"key":"294B","mappings":{"default":{"default":"javelot à dents gauche baissée et droite dressée"}},"category":"Sm"},{"category":"Sm","key":"294C","mappings":{"default":{"default":"crampon à dents supérieure droite et inférieure gauche"}}},{"category":"Sm","key":"294D","mappings":{"default":{"default":"crampon à dents supérieure gauche et inférieure droite"}}},{"key":"294E","mappings":{"default":{"default":"javelot à dents droite et gauche dressées"}},"category":"Sm"},{"key":"294F","mappings":{"default":{"default":"javelot à dents supérieure et inférieure droites"}},"category":"Sm"},{"key":"2950","mappings":{"default":{"default":"javelot à dents droite et gauche baissées"}},"category":"Sm"},{"key":"2951","mappings":{"default":{"default":"javelot à dents supérieure et inférieure gauches"}},"category":"Sm"},{"key":"2952","mappings":{"default":{"default":"harpon gauche à dent dressée contre taquet"}},"category":"Sm"},{"key":"2953","mappings":{"default":{"default":"harpon droit à dent dressée contre taquet"}},"category":"Sm"},{"key":"2954","mappings":{"default":{"default":"harpon vers le haut à dent droite contre taquet"}},"category":"Sm"},{"key":"2955","mappings":{"default":{"default":"harpon vers le bas à dent droite contre taquet"}},"category":"Sm"},{"key":"2956","mappings":{"default":{"default":"harpon gauche à dent baissée contre taquet"}},"category":"Sm"},{"key":"2957","mappings":{"default":{"default":"harpon droit à dent baissée contre taquet"}},"category":"Sm"},{"key":"2958","mappings":{"default":{"default":"harpon vers le haut à dent gauche contre taquet"}},"category":"Sm"},{"key":"2959","mappings":{"default":{"default":"harpon vers le bas à dent gauche contre taquet"}},"category":"Sm"},{"key":"295A","mappings":{"default":{"default":"harpon gauche à dent dressée depuis taquet"}},"category":"Sm"},{"key":"295B","mappings":{"default":{"default":"harpon droit à dent dressée depuis taquet"}},"category":"Sm"},{"key":"295C","mappings":{"default":{"default":"harpon vers le haut à dent droite depuis taquet"}},"category":"Sm"},{"key":"295D","mappings":{"default":{"default":"harpon vers le bas à dent droite depuis taquet"}},"category":"Sm"},{"key":"295E","mappings":{"default":{"default":"harpon gauche à dent baissée depuis taquet"}},"category":"Sm"},{"key":"295F","mappings":{"default":{"default":"harpon droit à dent baissée depuis taquet"}},"category":"Sm"},{"key":"2960","mappings":{"default":{"default":"harpon vers le haut à dent gauche depuis taquet"}},"category":"Sm"},{"key":"2961","mappings":{"default":{"default":"harpon vers le bas à dent gauche depuis taquet"}},"category":"Sm"},{"key":"2962","mappings":{"default":{"default":"harpon gauche à dent dressée sur harpon gauche à dent baissée"}},"category":"Sm"},{"key":"2963","mappings":{"default":{"default":"harpon vers le haut à dent gauche à côté de harpon vers le haut à dent droite"}},"category":"Sm"},{"key":"2964","mappings":{"default":{"default":"harpon droit à dent dressée par dessus harpon droit à dent baissée"}},"category":"Sm"},{"key":"2965","mappings":{"default":{"default":"harpon vers le bas à dent gauche à côté de harpon vers le bas à dent droite"}},"category":"Sm"},{"key":"2966","mappings":{"default":{"default":"harpon à dent gauche dressée par dessus harpon à dent droite dressée"}},"category":"Sm"},{"key":"2967","mappings":{"default":{"default":"harpon à dent gauche baissée par dessus harpon à dent droite baissée"}},"category":"Sm"},{"key":"2968","mappings":{"default":{"default":"harpon à dent droite dressée par dessus harpon à dent gauche dressée"}},"category":"Sm"},{"key":"2969","mappings":{"default":{"default":"harpon à dent droite baissée par dessus harpon à dent gauche baissée"}},"category":"Sm"},{"key":"296A","mappings":{"default":{"default":"harpon à dent gauche dressée par dessus long trait"}},"category":"Sm"},{"key":"296B","mappings":{"default":{"default":"long trait par dessus harpon à dent gauche baissée"}},"category":"Sm"},{"key":"296C","mappings":{"default":{"default":"harpon à dent droite dressée par dessus long trait"}},"category":"Sm"},{"key":"296D","mappings":{"default":{"default":"long trait par dessus harpon à dent droite baissée"}},"category":"Sm"},{"key":"296E","mappings":{"default":{"default":"harpon vers le haut à dent gauche à côté de harpon vers le bas à dent droite"}},"category":"Sm"},{"key":"296F","mappings":{"default":{"default":"harpon vers le bas à dent gauche à côté de harpon vers le haut à dent droite"}},"category":"Sm"},{"key":"297C","mappings":{"default":{"default":"ancre gauche"}},"category":"Sm"},{"key":"297D","mappings":{"default":{"default":"ancre droite"}},"category":"Sm"},{"key":"297E","mappings":{"default":{"default":"ancre vers le haut"}},"category":"Sm"},{"key":"297F","mappings":{"default":{"default":"ancre vers le bas"}},"category":"Sm"}]
+,
+"fr/symbols/math_non_characters.js": 
+[{"locale":"fr"},{"key":"210F","mappings":{"default":{"default":"constante de planck sur deux pi"}},"category":"Ll"},{"category":"So","key":"2114","mappings":{"default":{"default":"symbole l b barré"}}},{"key":"2116","mappings":{"default":{"default":"symbole numéro"}},"category":"So"},{"key":"2117","mappings":{"default":{"default":"copyright de programme sonore"}},"category":"So"},{"key":"211E","mappings":{"default":{"default":"ordonnances"}},"category":"So"},{"category":"So","key":"211F","mappings":{"default":{"default":"répons"}}},{"category":"So","key":"2120","mappings":{"default":{"default":"symbole anglais marque de service"}}},{"category":"So","key":"2121","mappings":{"default":{"default":"signe de téléphone"}}},{"key":"2122","mappings":{"default":{"default":"symbole anglais marque de commerce"}},"category":"So"},{"category":"So","key":"2123","mappings":{"default":{"default":"versicule"}}},{"key":"2125","mappings":{"default":{"default":"symbole once"}},"category":"So"},{"key":"2126","mappings":{"default":{"default":"ohm"}},"category":"Lu"},{"key":"2127","mappings":{"default":{"default":"ohm culbuté"}},"category":"So"},{"key":"212A","mappings":{"default":{"default":"degré kelvin"}},"category":"Lu"},{"key":"212B","mappings":{"default":{"default":"angstroms"}},"category":"Lu"},{"category":"So","key":"212E","mappings":{"default":{"default":"symbole estimé"}}},{"key":"2132","mappings":{"default":{"default":"f culbuté majuscule"}},"category":"Lu"},{"category":"Ll","key":"2139","mappings":{"default":{"default":"bureau d'information"}}},{"category":"So","key":"213A","mappings":{"default":{"default":"Q majuscule couché"}}},{"category":"So","key":"213B","mappings":{"default":{"default":"symbole télécopie"}}},{"category":"Sm","key":"2141","mappings":{"default":{"default":"G culbuté majuscule sans empattement"}}},{"category":"Sm","key":"2142","mappings":{"default":{"default":"L culbuté majuscule sans empattement"}}},{"category":"Sm","key":"2143","mappings":{"default":{"default":"L réfléchi majuscule sans empattement"}}},{"category":"Sm","key":"2144","mappings":{"default":{"default":"Y culbuté majuscule sans empattement"}}}]
+,
+"fr/symbols/math_symbols.js": 
+[{"locale":"fr"},{"key":"0021","mappings":{"default":{"default":"factorielle"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"petit guillemet"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"dièse"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"dollars"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"pourcent"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"esperluette"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"prime","alternative":"apostrophe"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"astérisque"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"plus"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"virgule"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"moins"}},"category":"Pd"},{"key":"002E","mappings":{"default":{"default":"point"}},"category":"Po"},{"key":"002F","mappings":{"default":{"default":"barre oblique"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"deux points"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"point virgule"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"inférieur à"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"égale"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"supérieur à"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"point d'interrogation"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"arobase"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"barre oblique inversée"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circonflexe"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"tiret bas"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"accent grave"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"barre verticale"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"point d'exclamation renversé"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"centimes"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"livres"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"symbole monétaire"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"barre déjointe"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"paragraphe"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"tréma"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"indicateur ordinal féminin"}},"category":"Lo"},{"key":"00AB","mappings":{"default":{"default":"guillemet chevron pointant gauche"}},"category":"Pi"},{"key":"00AC","mappings":{"default":{"default":"négation"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"symbole marque déposée"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"macron"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"degrés"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"plus ou moins"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"accent aigu"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"symbole micro"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"fin de paragraphe"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"point médian"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"cédille"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"indicateur ordinal masculin"}},"category":"Lo"},{"key":"00BB","mappings":{"default":{"default":"guillemet chevron pointant droite"}},"category":"Pf"},{"key":"00BF","mappings":{"default":{"default":"point d'interrogation renversé"}},"category":"Po"},{"key":"00D7","mappings":{"default":{"default":"multiplié par"}},"category":"Sm"},{"key":"00F7","mappings":{"default":{"default":"divisé par"}},"category":"Sm"},{"key":"02D8","mappings":{"default":{"default":"brève"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"point en chef"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"rond en chef"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"double accent aigu"}},"category":"Sk"},{"key":"2010","mappings":{"default":{"default":"trait d'union"}},"category":"Pd"},{"category":"Pd","key":"2011","mappings":{"default":{"default":"trait d'union insécable"}}},{"category":"Pd","key":"2012","mappings":{"default":{"default":"tiret numérique"}}},{"key":"2013","mappings":{"default":{"default":"trait d'union insécable"}},"category":"Pd"},{"key":"2014","mappings":{"default":{"default":"tiret numérique"}},"category":"Pd"},{"key":"2015","mappings":{"default":{"default":"barre horizontalle"}},"category":"Pd"},{"key":"2016","mappings":{"default":{"default":"double ligne verticale"}},"category":"Po"},{"category":"Po","key":"2017","mappings":{"default":{"default":"double trait souscrit"}}},{"key":"2018","mappings":{"default":{"default":"guillemet apostrophe culbuté"}},"category":"Pi"},{"key":"2019","mappings":{"default":{"default":"guillemet apostrophe"}},"category":"Pf"},{"key":"201A","mappings":{"default":{"default":"guillemet virgule inférieur"}},"category":"Ps"},{"category":"Pi","key":"201B","mappings":{"default":{"default":"guillemet virgule supérieur culbuté"}}},{"key":"201C","mappings":{"default":{"default":"guillemet apostrophe double culbuté"}},"category":"Pi"},{"key":"201D","mappings":{"default":{"default":"guillemet apostrophe double"}},"category":"Pf"},{"key":"201E","mappings":{"default":{"default":"guillemet double prime"}},"category":"Ps"},{"category":"Pi","key":"201F","mappings":{"default":{"default":"guillemet virgule double supérieur culbuté"}}},{"key":"2020","mappings":{"default":{"default":"obèle"}},"category":"Po"},{"key":"2021","mappings":{"default":{"default":"double obèle"}},"category":"Po"},{"key":"2022","mappings":{"default":{"default":"puce"}},"category":"Po"},{"category":"Po","key":"2023","mappings":{"default":{"default":"puce triangulaire"}}},{"category":"Po","key":"2024","mappings":{"default":{"default":"point de conduite simple"}}},{"key":"2025","mappings":{"default":{"default":"point de conduite double"}},"category":"Po"},{"key":"2026","mappings":{"default":{"default":"points de suspension"}},"category":"Po"},{"category":"Po","key":"2027","mappings":{"default":{"default":"point de coupure de mot"}}},{"key":"2030","mappings":{"default":{"default":"symbole pour mille"}},"category":"Po"},{"key":"2031","mappings":{"default":{"default":"symbole pour dix mille"}},"category":"Po"},{"key":"2032","mappings":{"default":{"default":"prime"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"double prime"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"triple prime"}},"category":"Po"},{"key":"2035","mappings":{"default":{"default":"prime réfléchi"}},"category":"Po"},{"key":"2036","mappings":{"default":{"default":"double prime réfléchi"}},"category":"Po"},{"category":"Po","key":"2037","mappings":{"default":{"default":"triple prime réfléchi"}}},{"category":"Po","key":"2038","mappings":{"default":{"default":"chevron d'insertion"}}},{"key":"2039","mappings":{"default":{"default":"guillemet simple gauche"}},"category":"Pi"},{"key":"203A","mappings":{"default":{"default":"guillemet simple droite"}},"category":"Pf"},{"category":"Po","key":"203B","mappings":{"default":{"default":"marque de référence"}}},{"category":"Po","key":"203C","mappings":{"default":{"default":"double point d'exclamation"}}},{"category":"Po","key":"203D","mappings":{"default":{"default":"point exclarrogatif"}}},{"key":"203E","mappings":{"default":{"default":"tiret en chef"}},"category":"Po"},{"category":"Pc","key":"203F","mappings":{"default":{"default":"tirant souscrit"}}},{"key":"2040","mappings":{"default":{"default":"tirant en chef"}},"category":"Pc"},{"key":"2041","mappings":{"default":{"default":"lambda d'insertion"}},"category":"Po"},{"category":"Po","key":"2042","mappings":{"default":{"default":"astérisme"}}},{"key":"2043","mappings":{"default":{"default":"puce trait d'union"}},"category":"Po"},{"key":"2044","mappings":{"default":{"default":"barre de fraction"}},"category":"Sm"},{"category":"Po","key":"2047","mappings":{"default":{"default":"double point d'interrogation"}}},{"category":"Po","key":"2048","mappings":{"default":{"default":"point d'interrogation exclamation"}}},{"category":"Po","key":"2049","mappings":{"default":{"default":"point d'exclamation interrogation"}}},{"category":"Po","key":"204B","mappings":{"default":{"default":"pied de mouche réfléchi"}}},{"category":"Po","key":"204C","mappings":{"default":{"default":"puce noire tronquée à droite"}}},{"category":"Po","key":"204D","mappings":{"default":{"default":"puce noire tronquée à gauche"}}},{"category":"Po","key":"204E","mappings":{"default":{"default":"astérisque baissé"}}},{"key":"204F","mappings":{"default":{"default":"point virgule réfléchi"}},"category":"Po"},{"key":"2050","mappings":{"default":{"default":"resserrer"}},"category":"Po"},{"category":"Po","key":"2051","mappings":{"default":{"default":"deux astérisques alignés verticalement"}}},{"category":"Sm","key":"2052","mappings":{"default":{"default":"moins commercial"}}},{"category":"Po","key":"2053","mappings":{"default":{"default":"tiret ondé"}}},{"category":"Pc","key":"2054","mappings":{"default":{"default":"dos d'âne souscrit"}}},{"category":"Po","key":"2055","mappings":{"default":{"default":"point fleur"}}},{"category":"Po","key":"2056","mappings":{"default":{"default":"trois points"}}},{"key":"2057","mappings":{"default":{"default":"quadruple prime"}},"category":"Po"},{"category":"Po","key":"2058","mappings":{"default":{"default":"quatre points en losange"}}},{"category":"Po","key":"2059","mappings":{"default":{"default":"cinq points en quinconce"}}},{"category":"Po","key":"205A","mappings":{"default":{"default":"deux points en capitale"}}},{"category":"Po","key":"205B","mappings":{"default":{"default":"quatre points en croix"}}},{"category":"Po","key":"205C","mappings":{"default":{"default":"croix pointée"}}},{"category":"Po","key":"205D","mappings":{"default":{"default":"trois points vertical"}}},{"category":"Po","key":"205E","mappings":{"default":{"default":"quatre points vertical"}}},{"category":"Sm","key":"207A","mappings":{"default":{"default":"exposant signe plus"}}},{"category":"Sm","key":"207B","mappings":{"default":{"default":"exposant signe moins"}}},{"category":"Sm","key":"207C","mappings":{"default":{"default":"exposant signe égal"}}},{"category":"Ps","key":"207D","mappings":{"default":{"default":"exposant parenthèse gauche"}}},{"category":"Pe","key":"207E","mappings":{"default":{"default":"exposant parenthèse droite"}}},{"category":"Sm","key":"208A","mappings":{"default":{"default":"indice signe plus"}}},{"category":"Sm","key":"208B","mappings":{"default":{"default":"indice signe moins"}}},{"category":"Sm","key":"208C","mappings":{"default":{"default":"indice signe égal"}}},{"category":"Ps","key":"208D","mappings":{"default":{"default":"indice parenthèse gauche"}}},{"category":"Pe","key":"208E","mappings":{"default":{"default":"indice parenthèse droite"}}},{"category":"So","key":"214A","mappings":{"default":{"default":"limite de propriété"}}},{"category":"Sm","key":"214B","mappings":{"default":{"default":"perluète culbutée"}}},{"category":"So","key":"214C","mappings":{"default":{"default":"symbole per"}}},{"category":"So","key":"214D","mappings":{"default":{"default":"aktieselskab"}}},{"category":"Ll","key":"214E","mappings":{"default":{"default":"minuscule f culbuté"}}},{"key":"2200","mappings":{"default":{"default":"pour tous"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"complément"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"il existe"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"il n'existe pas"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"ensemble vide"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"incrément"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"appartient à"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"n'appartient pas à"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"appartient à"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"contient comme élément"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"ne contient pas comme élément"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"contient comme élément"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"ce qu'il fallait démontrer"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"produit"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"coproduit"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"sommation"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"moins"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"moins ou plus"}},"category":"Sm"},{"key":"2214","mappings":{"default":{"default":"plus pointé"}},"category":"Sm"},{"key":"2215","mappings":{"default":{"default":"division"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"différence d'ensembles"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"opérateur astérisque"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"opérateur rond"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"point médian"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"racine carrée"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"racine cubique"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"racine quatrième"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proportionnel à"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"infini"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"angle droit"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"angle"}},"category":"Sm"},{"key":"2221","mappings":{"default":{"default":"angle mesuré"}},"category":"Sm"},{"key":"2222","mappings":{"default":{"default":"angle sphérique"}},"category":"Sm"},{"key":"2223","mappings":{"default":{"default":"est un diviseur de"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"n'est pas un diviseur de"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"parallèle à"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"non parallèle à"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"et logique"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"ou logique"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"intersection"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"union"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"intégrale"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"intégrale double"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"intégrale triple"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"intégrale de contour"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"intégrale de surface"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"intégrale de volume"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"intégrale en sens négatif"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"intégrale de contour en sens négatif"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"intégrale de contour en sens positif"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"par conséquent"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"parce que"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"rapport"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"proportion"}},"category":"Sm"},{"key":"2238","mappings":{"default":{"default":"moins pointé"}},"category":"Sm"},{"key":"2239","mappings":{"default":{"default":"excès"}},"category":"Sm"},{"key":"223A","mappings":{"default":{"default":"proportion géométrique"}},"category":"Sm"},{"key":"223B","mappings":{"default":{"default":"homothétique"}},"category":"Sm"},{"key":"223C","mappings":{"default":{"default":"opérateur tilde"}},"category":"Sm"},{"key":"223D","mappings":{"default":{"default":"opérateur tilde renversé"}},"category":"Sm"},{"key":"223E","mappings":{"default":{"default":"s couché renversé"}},"category":"Sm"},{"key":"223F","mappings":{"default":{"default":"sinusoïde"}},"category":"Sm"},{"key":"2240","mappings":{"default":{"default":"produit couronne"}},"category":"Sm"},{"key":"2241","mappings":{"default":{"default":"non tilde"}},"category":"Sm"},{"key":"2242","mappings":{"default":{"default":"moins tilde"}},"category":"Sm"},{"key":"2243","mappings":{"default":{"default":"asymptotiquement égal à"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"non asymptotiquement égal à"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"approximativement égal à"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"approximativement mais non strictement égal à"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"ni approximativement ni strictement égal à"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"presque égal à"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"non presque égal à"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"presque égal ou égal à"}},"category":"Sm"},{"key":"224B","mappings":{"default":{"default":"triple tilde"}},"category":"Sm"},{"key":"224C","mappings":{"default":{"default":"entièrement égal à"}},"category":"Sm"},{"key":"224D","mappings":{"default":{"default":"équivalent à"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"géométriquement équivalent à"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"différence entre"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"tend vers la limite"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"géométriquement égal à"}},"category":"Sm"},{"key":"2252","mappings":{"default":{"default":"approximativement égal à ou image de"}},"category":"Sm"},{"key":"2253","mappings":{"default":{"default":"image de ou approximativement égal à"}},"category":"Sm"},{"key":"2254","mappings":{"default":{"default":"deux points égal"}},"category":"Sm"},{"key":"2255","mappings":{"default":{"default":"égal deux points"}},"category":"Sm"},{"key":"2256","mappings":{"default":{"default":"rond dans égal"}},"category":"Sm"},{"key":"2257","mappings":{"default":{"default":"égal avec rond en chef"}},"category":"Sm"},{"key":"2258","mappings":{"default":{"default":"correspond à"}},"category":"Sm"},{"key":"2259","mappings":{"default":{"default":"estime"}},"category":"Sm"},{"key":"225A","mappings":{"default":{"default":"équiangulaire à"}},"category":"Sm"},{"key":"225B","mappings":{"default":{"default":"égal avec étoile en chef"}},"category":"Sm"},{"key":"225C","mappings":{"default":{"default":"égal delta"}},"category":"Sm"},{"key":"225D","mappings":{"default":{"default":"égal par définition à"}},"category":"Sm"},{"key":"225E","mappings":{"default":{"default":"mesuré par"}},"category":"Sm"},{"key":"225F","mappings":{"default":{"default":"égalité en doute"}},"category":"Sm"},{"key":"2260","mappings":{"default":{"default":"pas égal à"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"identique à"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"non identique à"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"strictement équivalent à"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"plus petit ou égal à"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"plus grand ou égal à"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"plus petit que par dessus égal à"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"plus grand que par dessus égal à"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"plus petit mais pas égal à"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"plus grand mais pas égal à"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"beaucoup plus petit que"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"beaucoup plus grand que"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"entre"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"non équivalent à"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"pas plus petit que"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"pas plus grand que"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"ni plus petit ni égal à"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"ni plus grand ni égal à"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"plus petit ou équivalent à"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"plus grand ou équivalent à"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"ni plus petit ni équivalent à"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"ni plus grand ni équivalent à"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"plus petit ou plus grand que"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"plus grand ou plus petit que"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"ni plus petit ni plus grand que"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"ni plus grand ni plus petit que"}},"category":"Sm"},{"key":"227A","mappings":{"default":{"default":"précède"}},"category":"Sm"},{"key":"227B","mappings":{"default":{"default":"suit"}},"category":"Sm"},{"key":"227C","mappings":{"default":{"default":"précède ou est égal à"}},"category":"Sm"},{"key":"227D","mappings":{"default":{"default":"suit ou est égal à"}},"category":"Sm"},{"key":"227E","mappings":{"default":{"default":"précède ou est équivalent à"}},"category":"Sm"},{"key":"227F","mappings":{"default":{"default":"suit ou est équivalent à"}},"category":"Sm"},{"key":"2280","mappings":{"default":{"default":"ne précède pas"}},"category":"Sm"},{"key":"2281","mappings":{"default":{"default":"ne suit pas"}},"category":"Sm"},{"key":"2282","mappings":{"default":{"default":"sous ensemble de"}},"category":"Sm"},{"key":"2283","mappings":{"default":{"default":"sur ensemble de"}},"category":"Sm"},{"key":"2284","mappings":{"default":{"default":"pas un sous ensemble de"}},"category":"Sm"},{"key":"2285","mappings":{"default":{"default":"pas un sur ensemble de"}},"category":"Sm"},{"key":"2286","mappings":{"default":{"default":"sous ensemble ou égal à"}},"category":"Sm"},{"key":"2287","mappings":{"default":{"default":"sur ensemble ou égal à"}},"category":"Sm"},{"key":"2288","mappings":{"default":{"default":"ni un sous ensemble ni égal à"}},"category":"Sm"},{"key":"2289","mappings":{"default":{"default":"ni un sur ensemble ni égal à"}},"category":"Sm"},{"key":"228A","mappings":{"default":{"default":"sous ensemble mais pas égal à"}},"category":"Sm"},{"key":"228B","mappings":{"default":{"default":"sur ensemble mais pas égal à"}},"category":"Sm"},{"key":"228C","mappings":{"default":{"default":"multiensemble"}},"category":"Sm"},{"key":"228D","mappings":{"default":{"default":"multiplication de multiensemble"}},"category":"Sm"},{"key":"228E","mappings":{"default":{"default":"union de multiensemble"}},"category":"Sm"},{"key":"228F","mappings":{"default":{"default":"image carrée de"}},"category":"Sm"},{"key":"2290","mappings":{"default":{"default":"original carré de"}},"category":"Sm"},{"key":"2291","mappings":{"default":{"default":"image carrée ou égal à"}},"category":"Sm"},{"key":"2292","mappings":{"default":{"default":"original carré ou égal à"}},"category":"Sm"},{"key":"2293","mappings":{"default":{"default":"chapeau carré"}},"category":"Sm"},{"key":"2294","mappings":{"default":{"default":"coupe carrée"}},"category":"Sm"},{"key":"2295","mappings":{"default":{"default":"plus cerclé"}},"category":"Sm"},{"key":"2296","mappings":{"default":{"default":"moins cerclé"}},"category":"Sm"},{"key":"2297","mappings":{"default":{"default":"multiplié par cerclé"}},"category":"Sm"},{"key":"2298","mappings":{"default":{"default":"barre oblique de division cerclée"}},"category":"Sm"},{"key":"2299","mappings":{"default":{"default":"opérateur point cerclé"}},"category":"Sm"},{"key":"229A","mappings":{"default":{"default":"opérateur rond cerclé"}},"category":"Sm"},{"key":"229B","mappings":{"default":{"default":"opérateur astérisque cerclé"}},"category":"Sm"},{"key":"229C","mappings":{"default":{"default":"égal cerclé"}},"category":"Sm"},{"key":"229D","mappings":{"default":{"default":"tiret cerclé"}},"category":"Sm"},{"key":"229E","mappings":{"default":{"default":"plus encadré"}},"category":"Sm"},{"key":"229F","mappings":{"default":{"default":"moins encadré"}},"category":"Sm"},{"key":"22A0","mappings":{"default":{"default":"multiplié par encadré"}},"category":"Sm"},{"key":"22A1","mappings":{"default":{"default":"opérateur point encadré"}},"category":"Sm"},{"key":"22A2","mappings":{"default":{"default":"taquet droit"}},"category":"Sm"},{"key":"22A3","mappings":{"default":{"default":"taquet gauche"}},"category":"Sm"},{"key":"22A4","mappings":{"default":{"default":"taquet vers le bas"}},"category":"Sm"},{"key":"22A5","mappings":{"default":{"default":"taquet vers le haut"}},"category":"Sm"},{"key":"22A6","mappings":{"default":{"default":"assertion"}},"category":"Sm"},{"key":"22A7","mappings":{"default":{"default":"modélise"}},"category":"Sm"},{"key":"22A8","mappings":{"default":{"default":"vrai"}},"category":"Sm"},{"key":"22A9","mappings":{"default":{"default":"oblige"}},"category":"Sm"},{"key":"22AA","mappings":{"default":{"default":"barre verticale triple avec tourniquet à droite"}},"category":"Sm"},{"key":"22AB","mappings":{"default":{"default":"barre verticale double avec tourniquet à droite double"}},"category":"Sm"},{"key":"22AC","mappings":{"default":{"default":"ne prouve pas"}},"category":"Sm"},{"key":"22AD","mappings":{"default":{"default":"pas vrai"}},"category":"Sm"},{"key":"22AE","mappings":{"default":{"default":"n'oblige pas"}},"category":"Sm"},{"key":"22AF","mappings":{"default":{"default":"non barre verticale double avec tourniquet à droite double"}},"category":"Sm"},{"key":"22B0","mappings":{"default":{"default":"précède sous relation"}},"category":"Sm"},{"key":"22B1","mappings":{"default":{"default":"suit sous relation"}},"category":"Sm"},{"key":"22B2","mappings":{"default":{"default":"sous groupe normal de"}},"category":"Sm"},{"key":"22B3","mappings":{"default":{"default":"contient comme sous groupe normal"}},"category":"Sm"},{"key":"22B4","mappings":{"default":{"default":"sous groupe normal ou égal à"}},"category":"Sm"},{"key":"22B5","mappings":{"default":{"default":"contient comme sous groupe normal ou égal à"}},"category":"Sm"},{"key":"22B6","mappings":{"default":{"default":"original de"}},"category":"Sm"},{"key":"22B7","mappings":{"default":{"default":"image de"}},"category":"Sm"},{"key":"22B8","mappings":{"default":{"default":"multijection"}},"category":"Sm"},{"key":"22B9","mappings":{"default":{"default":"matrice hermitienne conjuguée"}},"category":"Sm"},{"key":"22BA","mappings":{"default":{"default":"intercale"}},"category":"Sm"},{"key":"22BB","mappings":{"default":{"default":"ou exclusif"}},"category":"Sm"},{"key":"22BC","mappings":{"default":{"default":"non et"}},"category":"Sm"},{"key":"22BD","mappings":{"default":{"default":"non ou"}},"category":"Sm"},{"key":"22BF","mappings":{"default":{"default":"triangle rectangle"}},"category":"Sm"},{"key":"22C0","mappings":{"default":{"default":"et logique de la famille"}},"category":"Sm"},{"key":"22C1","mappings":{"default":{"default":"ou logique de la famille"}},"category":"Sm"},{"key":"22C2","mappings":{"default":{"default":"intersection de la famille"}},"category":"Sm"},{"key":"22C3","mappings":{"default":{"default":"réunion de la famille"}},"category":"Sm"},{"key":"22C4","mappings":{"default":{"default":"opérateur losange"}},"category":"Sm"},{"key":"22C5","mappings":{"default":{"default":"opérateur point"}},"category":"Sm"},{"key":"22C6","mappings":{"default":{"default":"opérateur étoile"}},"category":"Sm"},{"key":"22C7","mappings":{"default":{"default":"divisé multiplié"}},"category":"Sm"},{"key":"22C8","mappings":{"default":{"default":"nœud papillon"}},"category":"Sm"},{"key":"22C9","mappings":{"default":{"default":"produit semi direct à gauche de facteur normal"}},"category":"Sm"},{"key":"22CA","mappings":{"default":{"default":"produit semi direct à droite de facteur normal"}},"category":"Sm"},{"key":"22CB","mappings":{"default":{"default":"produit semi direct à gauche"}},"category":"Sm"},{"key":"22CC","mappings":{"default":{"default":"produit semi direct à droite"}},"category":"Sm"},{"key":"22CD","mappings":{"default":{"default":"moins tilde renversé"}},"category":"Sm"},{"key":"22CE","mappings":{"default":{"default":"ou logique recourbé"}},"category":"Sm"},{"key":"22CF","mappings":{"default":{"default":"et logique recourbé"}},"category":"Sm"},{"key":"22D0","mappings":{"default":{"default":"sous ensemble double"}},"category":"Sm"},{"key":"22D1","mappings":{"default":{"default":"sur ensemble double"}},"category":"Sm"},{"key":"22D2","mappings":{"default":{"default":"intersection double"}},"category":"Sm"},{"key":"22D3","mappings":{"default":{"default":"union double"}},"category":"Sm"},{"key":"22D4","mappings":{"default":{"default":"fourche"}},"category":"Sm"},{"key":"22D5","mappings":{"default":{"default":"égal et parallèle à"}},"category":"Sm"},{"key":"22D6","mappings":{"default":{"default":"plus petit que pointé"}},"category":"Sm"},{"key":"22D7","mappings":{"default":{"default":"plus grand que pointé"}},"category":"Sm"},{"key":"22D8","mappings":{"default":{"default":"considérablement plus petit que"}},"category":"Sm"},{"key":"22D9","mappings":{"default":{"default":"considérablement plus grand que"}},"category":"Sm"},{"key":"22DA","mappings":{"default":{"default":"plus petit ou égal ou plus grand que"}},"category":"Sm"},{"key":"22DB","mappings":{"default":{"default":"plus grand ou égal ou plus petit que"}},"category":"Sm"},{"key":"22DC","mappings":{"default":{"default":"égal ou plus petit que"}},"category":"Sm"},{"key":"22DD","mappings":{"default":{"default":"égal à deux lignes ou supérieur à"}},"category":"Sm"},{"key":"22DE","mappings":{"default":{"default":"égal ou précède"}},"category":"Sm"},{"key":"22DF","mappings":{"default":{"default":"égal ou suit"}},"category":"Sm"},{"key":"22E0","mappings":{"default":{"default":"ni précédant ni égal à"}},"category":"Sm"},{"key":"22E1","mappings":{"default":{"default":"ni suivant ni égal à"}},"category":"Sm"},{"key":"22E2","mappings":{"default":{"default":"ni image carrée ni égal à"}},"category":"Sm"},{"key":"22E3","mappings":{"default":{"default":"ni original carré ni égal à"}},"category":"Sm"},{"key":"22E4","mappings":{"default":{"default":"image carré ou différent de"}},"category":"Sm"},{"key":"22E5","mappings":{"default":{"default":"original carré ou différent de"}},"category":"Sm"},{"key":"22E6","mappings":{"default":{"default":"plus petit mais non équivalent à"}},"category":"Sm"},{"key":"22E7","mappings":{"default":{"default":"plus grand mais non équivalent à"}},"category":"Sm"},{"key":"22E8","mappings":{"default":{"default":"précédant mais non équivalent à"}},"category":"Sm"},{"key":"22E9","mappings":{"default":{"default":"suivant mais non équivalent à"}},"category":"Sm"},{"key":"22EA","mappings":{"default":{"default":"pas un sous groupe normal de"}},"category":"Sm"},{"key":"22EB","mappings":{"default":{"default":"ne contient pas comme sous groupe normal"}},"category":"Sm"},{"key":"22EC","mappings":{"default":{"default":"ni sous groupe normal ni égal à"}},"category":"Sm"},{"key":"22ED","mappings":{"default":{"default":"ni égal ni contenant comme sous  groupe normal"}},"category":"Sm"},{"key":"22EE","mappings":{"default":{"default":"trois points suspendus"}},"category":"Sm"},{"key":"22EF","mappings":{"default":{"default":"trois points médians"}},"category":"Sm"},{"key":"22F0","mappings":{"default":{"default":"trois points diagonaux vers le coin haut à droite"}},"category":"Sm"},{"key":"22F1","mappings":{"default":{"default":"trois points diagonaux vers le coin bas à droite"}},"category":"Sm"},{"key":"22F2","mappings":{"default":{"default":"appartient à avec long trait horizontal"}},"category":"Sm"},{"key":"22F3","mappings":{"default":{"default":"appartient à avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22F4","mappings":{"default":{"default":"petit appartient à avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22F5","mappings":{"default":{"default":"appartient à avec point en chef"}},"category":"Sm"},{"key":"22F6","mappings":{"default":{"default":"appartient à avec trait en chef"}},"category":"Sm"},{"key":"22F7","mappings":{"default":{"default":"petit appartient à avec trait en chef"}},"category":"Sm"},{"key":"22F8","mappings":{"default":{"default":"appartient à avec trait souscrit"}},"category":"Sm"},{"key":"22F9","mappings":{"default":{"default":"appartient à avec deux traits horizontaux"}},"category":"Sm"},{"key":"22FA","mappings":{"default":{"default":"contient avec long trait horizontal"}},"category":"Sm"},{"key":"22FB","mappings":{"default":{"default":"contient avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22FC","mappings":{"default":{"default":"petit contient avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22FD","mappings":{"default":{"default":"contient avec trait en chef"}},"category":"Sm"},{"key":"22FE","mappings":{"default":{"default":"petit contient avec trait en chef"}},"category":"Sm"},{"key":"22FF","mappings":{"default":{"default":"appartient à un sac en notation z"}},"category":"Sm"},{"key":"2300","mappings":{"default":{"default":"diamètre"}},"category":"So"},{"key":"2302","mappings":{"default":{"default":"maison"}},"category":"So"},{"key":"2305","mappings":{"default":{"default":"projective"}},"category":"So"},{"key":"2306","mappings":{"default":{"default":"perspective"}},"category":"So"},{"category":"So","key":"2307","mappings":{"default":{"default":"ligne ondulée"}}},{"key":"2310","mappings":{"default":{"default":"négation réfléchi"}},"category":"So"},{"category":"So","key":"2311","mappings":{"default":{"default":"pastille carrée"}}},{"key":"2312","mappings":{"default":{"default":"arc"}},"category":"So"},{"key":"2313","mappings":{"default":{"default":"segment"}},"category":"So"},{"category":"So","key":"2314","mappings":{"default":{"default":"secteur"}}},{"category":"So","key":"2795","mappings":{"default":{"default":"plus gras"}}},{"category":"So","key":"2796","mappings":{"default":{"default":"moins gras"}}},{"category":"So","key":"2797","mappings":{"default":{"default":"division gras"}}},{"category":"So","key":"27B0","mappings":{"default":{"default":"boucle recourbée"}}},{"category":"So","key":"27BF","mappings":{"default":{"default":"double boucle recourbée"}}},{"key":"27C1","mappings":{"default":{"default":"petit triangle blanc inscrit dans triangle blanc"}},"category":"Sm"},{"key":"27C2","mappings":{"default":{"default":"perpendiculaire à"}},"category":"Sm"},{"key":"27C3","mappings":{"default":{"default":"sous ensemble ouvert"}},"category":"Sm"},{"key":"27C4","mappings":{"default":{"default":"sur ensemble ouvert"}},"category":"Sm"},{"key":"27C7","mappings":{"default":{"default":"ou avec point inscrit"}},"category":"Sm"},{"key":"27C8","mappings":{"default":{"default":"sous ensemble précédé d'une barre oblique inversée"}},"category":"Sm"},{"key":"27C9","mappings":{"default":{"default":"sur ensemble suivi d'une barre oblique"}},"category":"Sm"},{"key":"27CA","mappings":{"default":{"default":"barre verticale À une traverse"}},"category":"Sm"},{"category":"Sm","key":"27CB","mappings":{"default":{"default":"diagonale mathématique ascendante"}}},{"key":"27CC","mappings":{"default":{"default":"grande division"}},"category":"Sm"},{"category":"Sm","key":"27CD","mappings":{"default":{"default":"diagonale mathématique descendante"}}},{"category":"Sm","key":"27CE","mappings":{"default":{"default":"et logique encadré"}}},{"category":"Sm","key":"27CF","mappings":{"default":{"default":"ou logique encadré"}}},{"category":"Sm","key":"27D0","mappings":{"default":{"default":"losange blanc à point centré"}}},{"key":"27D1","mappings":{"default":{"default":"et pointé"}},"category":"Sm"},{"key":"27D2","mappings":{"default":{"default":"appartient À ouvert vers le haut"}},"category":"Sm"},{"key":"27D3","mappings":{"default":{"default":"coin inférieur droit pointé"}},"category":"Sm"},{"key":"27D4","mappings":{"default":{"default":"coin supérieur gauche pointé"}},"category":"Sm"},{"key":"27D5","mappings":{"default":{"default":"jointure externe gauche"}},"category":"Sm"},{"key":"27D6","mappings":{"default":{"default":"jointure externe droite"}},"category":"Sm"},{"key":"27D7","mappings":{"default":{"default":"jointure externe complète"}},"category":"Sm"},{"key":"27D8","mappings":{"default":{"default":"grand taquet vers le haut"}},"category":"Sm"},{"key":"27D9","mappings":{"default":{"default":"grand taquet vers le bas"}},"category":"Sm"},{"key":"27DA","mappings":{"default":{"default":"double tourniquet bilatéral"}},"category":"Sm"},{"key":"27DB","mappings":{"default":{"default":"tourniquet bilatéral"}},"category":"Sm"},{"key":"27DC","mappings":{"default":{"default":"multijection gauche"}},"category":"Sm"},{"key":"27DD","mappings":{"default":{"default":"long taquet droit"}},"category":"Sm"},{"key":"27DE","mappings":{"default":{"default":"long taquet gauche"}},"category":"Sm"},{"key":"27DF","mappings":{"default":{"default":"taquet vers le haut surmonté d'un cercle"}},"category":"Sm"},{"key":"27E0","mappings":{"default":{"default":"losange coupé"}},"category":"Sm"},{"key":"27E1","mappings":{"default":{"default":"losange concave blanc"}},"category":"Sm"},{"key":"27E2","mappings":{"default":{"default":"losange concave blanc avec trait à gauche"}},"category":"Sm"},{"key":"27E3","mappings":{"default":{"default":"losange concave blanc avec trait à droite"}},"category":"Sm"},{"key":"27E4","mappings":{"default":{"default":"carré blanc avec trait à gauche"}},"category":"Sm"},{"key":"27E5","mappings":{"default":{"default":"carré blanc avec trait à droite"}},"category":"Sm"},{"category":"Sm","key":"292B","mappings":{"default":{"default":"diagonale montante sur diagonale descendante"}}},{"category":"Sm","key":"292C","mappings":{"default":{"default":"diagonale descendante sur diagonale montante"}}},{"category":"Sm","key":"2980","mappings":{"default":{"default":"délimiteur triple barre verticale"}}},{"category":"Sm","key":"2981","mappings":{"default":{"default":"boulet"}}},{"category":"Sm","key":"2982","mappings":{"default":{"default":"deux points de la notation z"}}},{"category":"Sm","key":"2999","mappings":{"default":{"default":"clôture pointillée"}}},{"key":"299A","mappings":{"default":{"default":"ligne verticale en zigzag"}},"category":"Sm"},{"key":"29B0","mappings":{"default":{"default":"ensemble vide réfléchi"}},"category":"Sm"},{"key":"29B1","mappings":{"default":{"default":"ensemble vide barre en chef"}},"category":"Sm"},{"key":"29B2","mappings":{"default":{"default":"ensemble vide petit cercle en chef"}},"category":"Sm"},{"key":"29B5","mappings":{"default":{"default":"cercle à barre horizontale"}},"category":"Sm"},{"key":"29B6","mappings":{"default":{"default":"barre verticale cerclée"}},"category":"Sm"},{"key":"29B7","mappings":{"default":{"default":"parallèles cerclées"}},"category":"Sm"},{"category":"Sm","key":"29B8","mappings":{"default":{"default":"barre oblique inversée cerclée"}}},{"key":"29B9","mappings":{"default":{"default":"perpendiculaire cerclé"}},"category":"Sm"},{"category":"Sm","key":"29BA","mappings":{"default":{"default":"cercle divisé par une barre horizontale et une barre verticale dans la moitié supérieure"}}},{"key":"29BB","mappings":{"default":{"default":"cercle superposé d'un x"}},"category":"Sm"},{"key":"29BC","mappings":{"default":{"default":"division pivoté en sens antihoraire cerclé"}},"category":"Sm"},{"key":"29BE","mappings":{"default":{"default":"puce blanche cerclée"}},"category":"Sm"},{"key":"29BF","mappings":{"default":{"default":"puce cerclée"}},"category":"Sm"},{"key":"29C0","mappings":{"default":{"default":"inférieur à cerclé"}},"category":"Sm"},{"key":"29C1","mappings":{"default":{"default":"supérieur à cerclé"}},"category":"Sm"},{"key":"29C2","mappings":{"default":{"default":"cercle avec petit cercle à droite"}},"category":"Sm"},{"key":"29C3","mappings":{"default":{"default":"cercle avec deux petits traits horizontaux à droite"}},"category":"Sm"},{"key":"29C4","mappings":{"default":{"default":"oblique encadrée"}},"category":"Sm"},{"key":"29C5","mappings":{"default":{"default":"oblique inversée encadrée"}},"category":"Sm"},{"category":"Sm","key":"29C6","mappings":{"default":{"default":"astérisque encadré"}}},{"category":"Sm","key":"29C7","mappings":{"default":{"default":"petite cercle encadré"}}},{"category":"Sm","key":"29C8","mappings":{"default":{"default":"carré encadré"}}},{"key":"29C9","mappings":{"default":{"default":"carrés se chevauchant"}},"category":"Sm"},{"category":"Sm","key":"29CA","mappings":{"default":{"default":"triangle pointé en chef"}}},{"category":"Sm","key":"29CB","mappings":{"default":{"default":"triangle à barre souscrite"}}},{"category":"Sm","key":"29CC","mappings":{"default":{"default":"s inscrit dans triangle"}}},{"key":"29CD","mappings":{"default":{"default":"triangle à empattements inférieurs"}},"category":"Sm"},{"key":"29CE","mappings":{"default":{"default":"triangle droit par dessus triangle gauche"}},"category":"Sm"},{"key":"29CF","mappings":{"default":{"default":"triangle gauche à gauche d'une barre verticale"}},"category":"Sm"},{"key":"29D0","mappings":{"default":{"default":"triangle droit à droite d'une barre verticale"}},"category":"Sm"},{"category":"Sm","key":"29D1","mappings":{"default":{"default":"nœud papillon à aile gauche noire"}}},{"category":"Sm","key":"29D2","mappings":{"default":{"default":"nœud papillon à aile droite noire"}}},{"category":"Sm","key":"29D3","mappings":{"default":{"default":"nœud papillon noir"}}},{"category":"Sm","key":"29D4","mappings":{"default":{"default":"multiplication à moitié gauche noircie"}}},{"category":"Sm","key":"29D5","mappings":{"default":{"default":"multiplication à moitié droite noircie"}}},{"category":"Sm","key":"29D6","mappings":{"default":{"default":"sablier blanc"}}},{"category":"Sm","key":"29D7","mappings":{"default":{"default":"sablier noir"}}},{"key":"29DC","mappings":{"default":{"default":"infini incomplet"}},"category":"Sm"},{"category":"Sm","key":"29DD","mappings":{"default":{"default":"lorgnon"}}},{"key":"29DE","mappings":{"default":{"default":"infini nié par une barre verticale"}},"category":"Sm"},{"category":"Sm","key":"29DF","mappings":{"default":{"default":"multijection à deux têtes"}}},{"category":"Sm","key":"29E0","mappings":{"default":{"default":"carré ombré"}}},{"category":"Sm","key":"29E1","mappings":{"default":{"default":"augmente avec"}}},{"category":"Sm","key":"29E2","mappings":{"default":{"default":"produit de permutation"}}},{"key":"29E3","mappings":{"default":{"default":"égale à et parallèle à incliné"}},"category":"Sm"},{"key":"29E4","mappings":{"default":{"default":"égale à et parallèle à incliné surmontés d'un tilde"}},"category":"Sm"},{"key":"29E5","mappings":{"default":{"default":"identique à et parallèle à incliné"}},"category":"Sm"},{"category":"Sm","key":"29E6","mappings":{"default":{"default":"gleich stark"}}},{"category":"Sm","key":"29E7","mappings":{"default":{"default":"thermodynamique"}}},{"category":"Sm","key":"29E8","mappings":{"default":{"default":"triangle pointe vers le bas à moitié gauche noire"}}},{"category":"Sm","key":"29E9","mappings":{"default":{"default":"triangle pointe vers le bas à moitié droite noire"}}},{"key":"29EB","mappings":{"default":{"default":"losange fuselé noir"}},"category":"Sm"},{"category":"Sm","key":"29EE","mappings":{"default":{"default":"barre d'erreur à carré blanc"}}},{"category":"Sm","key":"29EF","mappings":{"default":{"default":"barre d'erreur à carré noir"}}},{"category":"Sm","key":"29F0","mappings":{"default":{"default":"barre d'erreur à losange blanc"}}},{"category":"Sm","key":"29F1","mappings":{"default":{"default":"barre d'erreur à losange noir"}}},{"category":"Sm","key":"29F2","mappings":{"default":{"default":"barre d'erreur à cercle blanc"}}},{"category":"Sm","key":"29F3","mappings":{"default":{"default":"barre d'erreur à cercle noir"}}},{"key":"29F4","mappings":{"default":{"default":"règle différée"}},"category":"Sm"},{"category":"Sm","key":"29F5","mappings":{"default":{"default":"opérateur barre oblique inversée"}}},{"key":"29F6","mappings":{"default":{"default":"barre oblique avec barre en chef"}},"category":"Sm"},{"category":"Sm","key":"29F7","mappings":{"default":{"default":"barre oblique inversée à traverse horizontale"}}},{"category":"Sm","key":"29F8","mappings":{"default":{"default":"grande barre oblique"}}},{"category":"Sm","key":"29F9","mappings":{"default":{"default":"grande barre oblique inversée"}}},{"category":"Sm","key":"29FA","mappings":{"default":{"default":"double plus"}}},{"category":"Sm","key":"29FB","mappings":{"default":{"default":"triple plus"}}},{"category":"Sm","key":"29FE","mappings":{"default":{"default":"tiny"}}},{"category":"Sm","key":"29FF","mappings":{"default":{"default":"miny"}}},{"category":"Sm","key":"2A00","mappings":{"default":{"default":"opérateur point cerclé n aire"}}},{"category":"Sm","key":"2A01","mappings":{"default":{"default":"opérateur plus cerclé n aire"}}},{"category":"Sm","key":"2A02","mappings":{"default":{"default":"opérateur multiplié par cerclé n aire"}}},{"category":"Sm","key":"2A03","mappings":{"default":{"default":"opérateur union n aire pointé"}}},{"category":"Sm","key":"2A04","mappings":{"default":{"default":"opérateur union n aire avec plus"}}},{"category":"Sm","key":"2A05","mappings":{"default":{"default":"opérateur intersection carré n aire"}}},{"category":"Sm","key":"2A06","mappings":{"default":{"default":"opérateur union carré n aire"}}},{"category":"Sm","key":"2A07","mappings":{"default":{"default":"opérateur deux et logiques"}}},{"category":"Sm","key":"2A08","mappings":{"default":{"default":"opérateur deux ou logiques"}}},{"category":"Sm","key":"2A09","mappings":{"default":{"default":"opérateur multiplié par n aire"}}},{"category":"Sm","key":"2A0A","mappings":{"default":{"default":"sommation modulo deux"}}},{"category":"Sm","key":"2A0B","mappings":{"default":{"default":"sommation avec intégrale"}}},{"key":"2A0C","mappings":{"default":{"default":"intégrale quadruple"}},"category":"Sm"},{"key":"2A0D","mappings":{"default":{"default":"intégrale à partie finie"}},"category":"Sm"},{"category":"Sm","key":"2A0E","mappings":{"default":{"default":"intégrale à deux barres horizontales"}}},{"category":"Sm","key":"2A0F","mappings":{"default":{"default":"moyenne d'intégrale à barre oblique inversée"}}},{"key":"2A10","mappings":{"default":{"default":"fonction de circulation"}},"category":"Sm"},{"key":"2A11","mappings":{"default":{"default":"intégrale en sens positif"}},"category":"Sm"},{"key":"2A12","mappings":{"default":{"default":"intégrale de ligne à chemin rectangulaire autour du pôle"}},"category":"Sm"},{"key":"2A13","mappings":{"default":{"default":"intégrale de ligne à chemin semi circulaire autour du pôle"}},"category":"Sm"},{"key":"2A14","mappings":{"default":{"default":"intégrale de ligne évitant le pôle"}},"category":"Sm"},{"key":"2A15","mappings":{"default":{"default":"intégrale autour d'un opérateur point"}},"category":"Sm"},{"key":"2A16","mappings":{"default":{"default":"intégrale quaternion"}},"category":"Sm"},{"category":"Sm","key":"2A18","mappings":{"default":{"default":"intégrale au signe multiplié par"}}},{"category":"Sm","key":"2A19","mappings":{"default":{"default":"intégrale à signe intersection"}}},{"category":"Sm","key":"2A1A","mappings":{"default":{"default":"intégrale à signe union"}}},{"category":"Sm","key":"2A1B","mappings":{"default":{"default":"intégrale à barre en chef"}}},{"category":"Sm","key":"2A1C","mappings":{"default":{"default":"intégrale à barre souscrite"}}},{"category":"Sm","key":"2A1D","mappings":{"default":{"default":"jointure"}}},{"category":"Sm","key":"2A1E","mappings":{"default":{"default":"gros opérateur triangle gauche"}}},{"category":"Sm","key":"2A1F","mappings":{"default":{"default":"composition de schémas en notation z"}}},{"category":"Sm","key":"2A20","mappings":{"default":{"default":"tubage de schémas en notation z"}}},{"category":"Sm","key":"2A21","mappings":{"default":{"default":"projection de schémas en notation z"}}},{"key":"2A22","mappings":{"default":{"default":"plus surmonté d'un petit cercle"}},"category":"Sm"},{"key":"2A23","mappings":{"default":{"default":"plus surmonté d'un circonflexe"}},"category":"Sm"},{"key":"2A24","mappings":{"default":{"default":"plus surmonté d'un tilde"}},"category":"Sm"},{"key":"2A25","mappings":{"default":{"default":"plus à point souscrit"}},"category":"Sm"},{"key":"2A26","mappings":{"default":{"default":"plus à tilde souscrit"}},"category":"Sm"},{"key":"2A27","mappings":{"default":{"default":"plus à chiffre deux souscrit"}},"category":"Sm"},{"category":"Sm","key":"2A28","mappings":{"default":{"default":"plus à triangle noir"}}},{"key":"2A29","mappings":{"default":{"default":"moins surmonté d'une virgule"}},"category":"Sm"},{"key":"2A2A","mappings":{"default":{"default":"moins à point souscrit"}},"category":"Sm"},{"category":"Sm","key":"2A2B","mappings":{"default":{"default":"moins à points descendants"}}},{"category":"Sm","key":"2A2C","mappings":{"default":{"default":"moins à points ascendants"}}},{"key":"2A2D","mappings":{"default":{"default":"plus dans demi cercle gauche"}},"category":"Sm"},{"key":"2A2E","mappings":{"default":{"default":"plus dans demi cercle droit"}},"category":"Sm"},{"key":"2A2F","mappings":{"default":{"default":"produit vectoriel"}},"category":"Sm"},{"key":"2A30","mappings":{"default":{"default":"multiplication à point en chef"}},"category":"Sm"},{"key":"2A31","mappings":{"default":{"default":"multiplication à barre souscrite"}},"category":"Sm"},{"category":"Sm","key":"2A32","mappings":{"default":{"default":"produit semi direct fermé en bas"}}},{"key":"2A33","mappings":{"default":{"default":"produit fusionné"}},"category":"Sm"},{"key":"2A34","mappings":{"default":{"default":"multiplication dans demi cercle gauche"}},"category":"Sm"},{"key":"2A35","mappings":{"default":{"default":"multiplication dans demi cercle droit"}},"category":"Sm"},{"key":"2A36","mappings":{"default":{"default":"multiplication cerclé circonflexe"}},"category":"Sm"},{"key":"2A37","mappings":{"default":{"default":"multiplication doublement cerclé"}},"category":"Sm"},{"key":"2A38","mappings":{"default":{"default":"division cerclé"}},"category":"Sm"},{"key":"2A39","mappings":{"default":{"default":"plus dans triangle"}},"category":"Sm"},{"key":"2A3A","mappings":{"default":{"default":"moins dans triangle"}},"category":"Sm"},{"key":"2A3B","mappings":{"default":{"default":"multiplication dans triangle"}},"category":"Sm"},{"key":"2A3C","mappings":{"default":{"default":"produit interieur"}},"category":"Sm"},{"category":"Sm","key":"2A3D","mappings":{"default":{"default":"produit intérieur à droite"}}},{"category":"Sm","key":"2A3E","mappings":{"default":{"default":"composition relationnelle en notation z"}}},{"key":"2A3F","mappings":{"default":{"default":"amalgamation ou coproduit"}},"category":"Sm"},{"key":"2A40","mappings":{"default":{"default":"intersection pointée"}},"category":"Sm"},{"category":"Sm","key":"2A41","mappings":{"default":{"default":"union à signe moins"}}},{"key":"2A42","mappings":{"default":{"default":"union à barre en chef"}},"category":"Sm"},{"key":"2A43","mappings":{"default":{"default":"intersection à barre en chef"}},"category":"Sm"},{"key":"2A44","mappings":{"default":{"default":"intersection avec et logique"}},"category":"Sm"},{"key":"2A45","mappings":{"default":{"default":"union avec ou logique"}},"category":"Sm"},{"key":"2A46","mappings":{"default":{"default":"union par dessus intersection"}},"category":"Sm"},{"key":"2A47","mappings":{"default":{"default":"intersection par dessus union"}},"category":"Sm"},{"key":"2A48","mappings":{"default":{"default":"union par dessus bar par dessus intersection"}},"category":"Sm"},{"key":"2A49","mappings":{"default":{"default":"intersection par dessus trait par dessus union"}},"category":"Sm"},{"key":"2A4A","mappings":{"default":{"default":"deux unions soudées côte à côte"}},"category":"Sm"},{"key":"2A4B","mappings":{"default":{"default":"deux intersections soudées côte à côte"}},"category":"Sm"},{"key":"2A4C","mappings":{"default":{"default":"union fermée à empattements"}},"category":"Sm"},{"key":"2A4D","mappings":{"default":{"default":"intersection fermée à empattements"}},"category":"Sm"},{"category":"Sm","key":"2A4E","mappings":{"default":{"default":"deux intersections carrées emboîtées"}}},{"category":"Sm","key":"2A4F","mappings":{"default":{"default":"deux unions carrées emboîtées"}}},{"key":"2A50","mappings":{"default":{"default":"union fermée à empattements et produit fusionné"}},"category":"Sm"},{"category":"Sm","key":"2A51","mappings":{"default":{"default":"et logique à point en chef"}}},{"category":"Sm","key":"2A52","mappings":{"default":{"default":"ou logique à point en chef"}}},{"key":"2A53","mappings":{"default":{"default":"double et logique"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"double ou logique"}},"category":"Sm"},{"key":"2A55","mappings":{"default":{"default":"deux et logiques entrecroisés"}},"category":"Sm"},{"key":"2A56","mappings":{"default":{"default":"deux ou logiques entrecroisés"}},"category":"Sm"},{"key":"2A57","mappings":{"default":{"default":"grand ou pentu"}},"category":"Sm"},{"key":"2A58","mappings":{"default":{"default":"grand et pentu"}},"category":"Sm"},{"category":"Sm","key":"2A59","mappings":{"default":{"default":"et et ou logiques entrecroisés"}}},{"key":"2A5A","mappings":{"default":{"default":"et logique à hampe médiane"}},"category":"Sm"},{"key":"2A5B","mappings":{"default":{"default":"ou logique à hampe médiane"}},"category":"Sm"},{"key":"2A5C","mappings":{"default":{"default":"et logique à tiret horizontal"}},"category":"Sm"},{"key":"2A5D","mappings":{"default":{"default":"ou logique à tiret horizontal"}},"category":"Sm"},{"category":"Sm","key":"2A5E","mappings":{"default":{"default":"et logique à deux barres en chef"}}},{"key":"2A5F","mappings":{"default":{"default":"et logique à barre souscrite"}},"category":"Sm"},{"category":"Sm","key":"2A60","mappings":{"default":{"default":"et logique à deux barres souscrites"}}},{"category":"Sm","key":"2A61","mappings":{"default":{"default":"petit v à barre souscrite"}}},{"category":"Sm","key":"2A62","mappings":{"default":{"default":"ou logique à deux barres en chef"}}},{"category":"Sm","key":"2A63","mappings":{"default":{"default":"ou logique à deux barres souscrites"}}},{"category":"Sm","key":"2A64","mappings":{"default":{"default":"antirestriction de domaine en notation z"}}},{"category":"Sm","key":"2A65","mappings":{"default":{"default":"antirestriction de codomaine en notation z"}}},{"key":"2A66","mappings":{"default":{"default":"égal point souscrit"}},"category":"Sm"},{"category":"Sm","key":"2A67","mappings":{"default":{"default":"identique à surmonté d'un point"}}},{"category":"Sm","key":"2A68","mappings":{"default":{"default":"deux barres verticales à trois traverses"}}},{"category":"Sm","key":"2A69","mappings":{"default":{"default":"trois barres verticales à trois traverses"}}},{"key":"2A6A","mappings":{"default":{"default":"opérateur tilde point en chef"}},"category":"Sm"},{"category":"Sm","key":"2A6B","mappings":{"default":{"default":"opérateur tilde à points ascendants"}}},{"category":"Sm","key":"2A6C","mappings":{"default":{"default":"similaire à moins similaire à"}}},{"key":"2A6D","mappings":{"default":{"default":"congruent point en chef"}},"category":"Sm"},{"category":"Sm","key":"2A6E","mappings":{"default":{"default":"Égal astérisque en chef"}}},{"key":"2A6F","mappings":{"default":{"default":"presque égal à circonflexe"}},"category":"Sm"},{"category":"Sm","key":"2A70","mappings":{"default":{"default":"approximativement égal à ou égal à"}}},{"key":"2A71","mappings":{"default":{"default":"plus signe égal en chef"}},"category":"Sm"},{"key":"2A72","mappings":{"default":{"default":"égal à signe plus en chef"}},"category":"Sm"},{"key":"2A73","mappings":{"default":{"default":"tilde signe égal en chef"}},"category":"Sm"},{"key":"2A74","mappings":{"default":{"default":"double deux points égal à"}},"category":"Sm"},{"key":"2A75","mappings":{"default":{"default":"deux signes égal à consécutifs"}},"category":"Sm"},{"category":"Sm","key":"2A76","mappings":{"default":{"default":"trois signes égal à consécutifs"}}},{"key":"2A77","mappings":{"default":{"default":"égal à deux points en chef deux points souscrits"}},"category":"Sm"},{"key":"2A78","mappings":{"default":{"default":"équivalent quatre points en chef"}},"category":"Sm"},{"key":"2A79","mappings":{"default":{"default":"inférieur à avec cercle inscrit"}},"category":"Sm"},{"key":"2A7A","mappings":{"default":{"default":"supérieur à avec cercle inscrit"}},"category":"Sm"},{"key":"2A7B","mappings":{"default":{"default":"inférieur à point d'interrogation en chef"}},"category":"Sm"},{"key":"2A7C","mappings":{"default":{"default":"supérieur à point d'interrogation en chef"}},"category":"Sm"},{"key":"2A7D","mappings":{"default":{"default":"plus petit ou égal à pentu"}},"category":"Sm"},{"key":"2A7E","mappings":{"default":{"default":"supérieur à ou égal à pentu"}},"category":"Sm"},{"key":"2A7F","mappings":{"default":{"default":"inférieur à ou égal à pentu point inscrit"}},"category":"Sm"},{"key":"2A80","mappings":{"default":{"default":"supérieur à ou égal à pentu point inscrit"}},"category":"Sm"},{"key":"2A81","mappings":{"default":{"default":"inférieur à ou égal à pentu point en chef"}},"category":"Sm"},{"key":"2A82","mappings":{"default":{"default":"supérieur à ou égal à pentu point en chef"}},"category":"Sm"},{"key":"2A83","mappings":{"default":{"default":"inférieur à ou égal à pentu point en chef droit"}},"category":"Sm"},{"key":"2A84","mappings":{"default":{"default":"supérieur à ou égal à pentu point en chef gauche"}},"category":"Sm"},{"category":"Sm","key":"2A85","mappings":{"default":{"default":"inférieur à ou approximatif"}}},{"category":"Sm","key":"2A86","mappings":{"default":{"default":"supérieur à ou approximatif"}}},{"category":"Sm","key":"2A87","mappings":{"default":{"default":"inférieur à et pas égal à une ligne"}}},{"category":"Sm","key":"2A88","mappings":{"default":{"default":"supérieur à et pas égal à une ligne"}}},{"key":"2A89","mappings":{"default":{"default":"inférieur à et non approximatif"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"supérieur à et non approximatif"}},"category":"Sm"},{"category":"Sm","key":"2A8B","mappings":{"default":{"default":"inférieur à par dessus égal à deux lignes par dessus supérieur à"}}},{"category":"Sm","key":"2A8C","mappings":{"default":{"default":"supérieur à par dessus égal à deux lignes par dessus inférieur à"}}},{"key":"2A8D","mappings":{"default":{"default":"inférieur à par dessus similaire à ou égal à"}},"category":"Sm"},{"key":"2A8E","mappings":{"default":{"default":"supérieur à par dessus similaire à ou égal à"}},"category":"Sm"},{"key":"2A8F","mappings":{"default":{"default":"inférieur à par dessus similaire à par dessus supérieur à"}},"category":"Sm"},{"key":"2A90","mappings":{"default":{"default":"supérieur à par dessus similaire à par dessus inférieur à"}},"category":"Sm"},{"key":"2A91","mappings":{"default":{"default":"inférieur à par dessus supérieur à par dessus égal à deux lignes"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"supérieur à par dessus inférieur à par dessus égal à deux lignes"}},"category":"Sm"},{"key":"2A93","mappings":{"default":{"default":"inférieur à par dessus égal à pentu par dessus supérieur à par dessus égal à pentu"}},"category":"Sm"},{"key":"2A94","mappings":{"default":{"default":"supérieur à par dessus égal à pentu par dessus inférieur à par dessus égal à pentu"}},"category":"Sm"},{"category":"Sm","key":"2A95","mappings":{"default":{"default":"Égal à incliné ou inférieur à"}}},{"category":"Sm","key":"2A96","mappings":{"default":{"default":"Égal à incliné ou supérieur à"}}},{"key":"2A97","mappings":{"default":{"default":"égal à pentu ou inférieur à point inscrit"}},"category":"Sm"},{"key":"2A98","mappings":{"default":{"default":"égal à pentu ou supérieur à point inscrit"}},"category":"Sm"},{"key":"2A99","mappings":{"default":{"default":"égal à deux lignes ou inférieur à"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"égal à deux lignes ou supérieur à"}},"category":"Sm"},{"category":"Sm","key":"2A9B","mappings":{"default":{"default":"inférieur à ou égal à à deux lignes inclinées"}}},{"category":"Sm","key":"2A9C","mappings":{"default":{"default":"supérieur à ou égal à à deux lignes inclinées"}}},{"key":"2A9D","mappings":{"default":{"default":"similaire à ou inférieur à"}},"category":"Sm"},{"key":"2A9E","mappings":{"default":{"default":"similaire à ou supérieur à"}},"category":"Sm"},{"key":"2A9F","mappings":{"default":{"default":"similaire à par dessus inférieur à par dessus signe égal"}},"category":"Sm"},{"key":"2AA0","mappings":{"default":{"default":"similaire à par dessus supérieur à par dessus signe égal"}},"category":"Sm"},{"key":"2AA1","mappings":{"default":{"default":"deux inférieur à emboîtés"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"deux supérieur à emboîtés"}},"category":"Sm"},{"category":"Sm","key":"2AA3","mappings":{"default":{"default":"deux inférieur à emboîtés avec barre souscrite"}}},{"key":"2AA4","mappings":{"default":{"default":"deux supérieur à entrecroisés"}},"category":"Sm"},{"key":"2AA5","mappings":{"default":{"default":"supérieur à à côté de inférieur à"}},"category":"Sm"},{"key":"2AA6","mappings":{"default":{"default":"inférieur à fermé d'un arc"}},"category":"Sm"},{"key":"2AA7","mappings":{"default":{"default":"supérieur à fermé d'un arc"}},"category":"Sm"},{"key":"2AA8","mappings":{"default":{"default":"inférieur à fermé d'un arc par dessus égal à pentu"}},"category":"Sm"},{"key":"2AA9","mappings":{"default":{"default":"supérieur à fermé d'un arc par dessus égal à pentu"}},"category":"Sm"},{"key":"2AAA","mappings":{"default":{"default":"plus petit que en fourche"}},"category":"Sm"},{"key":"2AAB","mappings":{"default":{"default":"plus grand que en fourche"}},"category":"Sm"},{"key":"2AAC","mappings":{"default":{"default":"plus petit ou égal que en fourche"}},"category":"Sm"},{"key":"2AAD","mappings":{"default":{"default":"plus grand ou égal que en fourche"}},"category":"Sm"},{"key":"2AAE","mappings":{"default":{"default":"égal et dos d'âne"}},"category":"Sm"},{"key":"2AAF","mappings":{"default":{"default":"précède par dessus signe égal à une ligne"}},"category":"Sm"},{"category":"Sm","key":"2AB0","mappings":{"default":{"default":"suit par dessus signe égal à une ligne"}}},{"category":"Sm","key":"2AB1","mappings":{"default":{"default":"précède par dessus pas égal à une ligne"}}},{"category":"Sm","key":"2AB2","mappings":{"default":{"default":"suit par dessus pas égal à une ligne"}}},{"category":"Sm","key":"2AB3","mappings":{"default":{"default":"précède par dessus signe égal"}}},{"category":"Sm","key":"2AB4","mappings":{"default":{"default":"suit par dessus signe égal"}}},{"key":"2AB5","mappings":{"default":{"default":"précède par dessus pas égal à"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"suit par dessus pas égal à"}},"category":"Sm"},{"category":"Sm","key":"2AB7","mappings":{"default":{"default":"précède par dessus presque égal à"}}},{"category":"Sm","key":"2AB8","mappings":{"default":{"default":"suit par dessus presque égal à"}}},{"category":"Sm","key":"2AB9","mappings":{"default":{"default":"précède par dessus non presque égal à"}}},{"category":"Sm","key":"2ABA","mappings":{"default":{"default":"suit par dessus non presque égal à"}}},{"key":"2ABB","mappings":{"default":{"default":"double précède"}},"category":"Sm"},{"key":"2ABC","mappings":{"default":{"default":"double suit"}},"category":"Sm"},{"key":"2ABD","mappings":{"default":{"default":"sous ensemble pointé"}},"category":"Sm"},{"key":"2ABE","mappings":{"default":{"default":"sur ensemble pointé"}},"category":"Sm"},{"key":"2ABF","mappings":{"default":{"default":"sous ensemble plus souscrit"}},"category":"Sm"},{"key":"2AC0","mappings":{"default":{"default":"sur ensemble plus souscrit"}},"category":"Sm"},{"key":"2AC1","mappings":{"default":{"default":"sous ensemble à signe de multiplication souscrit"}},"category":"Sm"},{"key":"2AC2","mappings":{"default":{"default":"sur ensemble à signe de multiplication souscrit"}},"category":"Sm"},{"key":"2AC3","mappings":{"default":{"default":"sous ensemble de ou égal à point en chef"}},"category":"Sm"},{"key":"2AC4","mappings":{"default":{"default":"sur ensemble de ou égal à point en chef"}},"category":"Sm"},{"category":"Sm","key":"2AC5","mappings":{"default":{"default":"sous ensemble de par dessus signe égal"}}},{"category":"Sm","key":"2AC6","mappings":{"default":{"default":"sur ensemble de par dessus signe égal"}}},{"key":"2AC7","mappings":{"default":{"default":"sous ensemble de par dessus opérateur tilde"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"sur ensemble de par dessus opérateur tilde"}},"category":"Sm"},{"category":"Sm","key":"2AC9","mappings":{"default":{"default":"sous ensemble de par dessus presque égal à"}}},{"category":"Sm","key":"2ACA","mappings":{"default":{"default":"sur ensemble de par dessus presque égal à"}}},{"category":"Sm","key":"2ACB","mappings":{"default":{"default":"sous ensemble de par dessus pas égal à"}}},{"category":"Sm","key":"2ACC","mappings":{"default":{"default":"sur ensemble de par dessus pas égal à"}}},{"category":"Sm","key":"2ACD","mappings":{"default":{"default":"opérateur boîte carrée ouverte gauche"}}},{"category":"Sm","key":"2ACE","mappings":{"default":{"default":"opérateur boîte carrée ouverte droite"}}},{"key":"2ACF","mappings":{"default":{"default":"sous ensemble clos"}},"category":"Sm"},{"key":"2AD0","mappings":{"default":{"default":"sur ensemble clos"}},"category":"Sm"},{"key":"2AD1","mappings":{"default":{"default":"sous ensemble clos ou égal à"}},"category":"Sm"},{"key":"2AD2","mappings":{"default":{"default":"sur ensemble clos ou égal à"}},"category":"Sm"},{"key":"2AD3","mappings":{"default":{"default":"sous ensemble par dessus sur ensemble"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"sur ensemble par dessus sous ensemble"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"sous ensemble par dessus sous ensemble"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"sur ensemble par dessus sur ensemble"}},"category":"Sm"},{"key":"2AD7","mappings":{"default":{"default":"sur ensemble à côté de sous ensemble"}},"category":"Sm"},{"key":"2AD8","mappings":{"default":{"default":"sur ensemble chaîné à sous ensemble"}},"category":"Sm"},{"key":"2AD9","mappings":{"default":{"default":"appartient à ouvert vers le bas"}},"category":"Sm"},{"key":"2ADA","mappings":{"default":{"default":"fourche surmontée d'un t"}},"category":"Sm"},{"key":"2ADB","mappings":{"default":{"default":"intersection transversale"}},"category":"Sm"},{"category":"Sm","key":"2ADC","mappings":{"default":{"default":"bifurcation (non indépendant)"}}},{"category":"Sm","key":"2ADD","mappings":{"default":{"default":"non bifurcation (indépendant)"}}},{"category":"Sm","key":"2ADE","mappings":{"default":{"default":"taquet gauche court"}}},{"category":"Sm","key":"2ADF","mappings":{"default":{"default":"taquet court vers le bas"}}},{"category":"Sm","key":"2AE0","mappings":{"default":{"default":"taquet court vers le haut"}}},{"category":"Sm","key":"2AE1","mappings":{"default":{"default":"perpendiculaire à s"}}},{"category":"Sm","key":"2AE2","mappings":{"default":{"default":"triple tourniquet droit à barre verticale"}}},{"category":"Sm","key":"2AE3","mappings":{"default":{"default":"tourniquet gauche à double barre verticale"}}},{"key":"2AE4","mappings":{"default":{"default":"double tourniquet gauche à barre verticale"}},"category":"Sm"},{"category":"Sm","key":"2AE5","mappings":{"default":{"default":"double tourniquet gauche à double barre verticale"}}},{"key":"2AE6","mappings":{"default":{"default":"double barre verticale gauche à traverse"}},"category":"Sm"},{"key":"2AE7","mappings":{"default":{"default":"taquet court vers le bas avec barre en chef"}},"category":"Sm"},{"key":"2AE8","mappings":{"default":{"default":"taquet court vers le haut avec barre souscrite"}},"category":"Sm"},{"key":"2AE9","mappings":{"default":{"default":"taquet court vers le haut par dessus taquet court vers le bas"}},"category":"Sm"},{"category":"Sm","key":"2AEA","mappings":{"default":{"default":"double taquet vers le bas"}}},{"key":"2AEB","mappings":{"default":{"default":"double taquet vers le haut"}},"category":"Sm"},{"key":"2AEC","mappings":{"default":{"default":"négation à deux traits"}},"category":"Sm"},{"key":"2AED","mappings":{"default":{"default":"négation à deux traits réfléchi"}},"category":"Sm"},{"key":"2AEE","mappings":{"default":{"default":"n'est pas un diviseur de à barre de négation réfléchie"}},"category":"Sm"},{"key":"2AEF","mappings":{"default":{"default":"ligne verticale cercle en chef"}},"category":"Sm"},{"key":"2AF0","mappings":{"default":{"default":"ligne verticale cercle souscrit"}},"category":"Sm"},{"key":"2AF1","mappings":{"default":{"default":"taquet vers le bas surmontant un cercle"}},"category":"Sm"},{"key":"2AF2","mappings":{"default":{"default":"parallèlle à vertical à une traverse"}},"category":"Sm"},{"key":"2AF3","mappings":{"default":{"default":"parallèle à avec opérateur tilde"}},"category":"Sm"},{"category":"Sm","key":"2AF4","mappings":{"default":{"default":"relation binaire triple barre verticale"}}},{"category":"Sm","key":"2AF5","mappings":{"default":{"default":"triple barre verticale à une traverse"}}},{"category":"Sm","key":"2AF6","mappings":{"default":{"default":"opérateur trois points"}}},{"category":"Sm","key":"2AF7","mappings":{"default":{"default":"trois inférieur à emboîtés"}}},{"category":"Sm","key":"2AF8","mappings":{"default":{"default":"trois supérieur à emboîtés"}}},{"category":"Sm","key":"2AF9","mappings":{"default":{"default":"inférieur à ou égal à et deux lignes inclinées"}}},{"category":"Sm","key":"2AFA","mappings":{"default":{"default":"supérieur à ou égal à et deux lignes inclinées"}}},{"category":"Sm","key":"2AFB","mappings":{"default":{"default":"relation binaire triple oblique"}}},{"category":"Sm","key":"2AFC","mappings":{"default":{"default":"grand opérateur à trois barres verticales"}}},{"category":"Sm","key":"2AFD","mappings":{"default":{"default":"opérateur double oblique"}}},{"category":"Sm","key":"2AFE","mappings":{"default":{"default":"barre verticale blanche"}}},{"category":"Sm","key":"2AFF","mappings":{"default":{"default":"barre verticale blanche n aire"}}},{"category":"Pd","key":"301C","mappings":{"default":{"default":"trait d'union en esse"}}},{"category":"Po","key":"FE10","mappings":{"default":{"default":"forme de présentation de virgule verticale"}}},{"category":"Po","key":"FE13","mappings":{"default":{"default":"forme de présentation de deux points vertical"}}},{"category":"Po","key":"FE14","mappings":{"default":{"default":"forme de présentation de point virgule vertical"}}},{"category":"Po","key":"FE15","mappings":{"default":{"default":"forme de présentation de point d'exclamation vertical"}}},{"category":"Po","key":"FE16","mappings":{"default":{"default":"forme de présentation de point d'interrogation vertical"}}},{"category":"Po","key":"FE19","mappings":{"default":{"default":"forme de présentation de points de suspension verticaux"}}},{"category":"Po","key":"FE30","mappings":{"default":{"default":"forme de présentation de point de conduite double vertical"}}},{"category":"Pd","key":"FE31","mappings":{"default":{"default":"forme de présentation de tiret cadratin vertical"}}},{"category":"Pd","key":"FE32","mappings":{"default":{"default":"forme de présentation de tiret demi cadratin vertical"}}},{"category":"Pc","key":"FE33","mappings":{"default":{"default":"forme de présentation de tiret bas vertical"}}},{"category":"Pc","key":"FE34","mappings":{"default":{"default":"forme de présentation de tiret bas ondulé vertical"}}},{"category":"Po","key":"FE45","mappings":{"default":{"default":"point sésame"}}},{"category":"Po","key":"FE46","mappings":{"default":{"default":"point sésame ajouré"}}},{"category":"Po","key":"FE49","mappings":{"default":{"default":"tiret haut en pointillés"}}},{"category":"Po","key":"FE4A","mappings":{"default":{"default":"tiret haut à point central"}}},{"category":"Po","key":"FE4B","mappings":{"default":{"default":"tiret haut ondulé"}}},{"category":"Po","key":"FE4C","mappings":{"default":{"default":"tiret haut double ondulé"}}},{"category":"Pc","key":"FE4D","mappings":{"default":{"default":"tiret bas avec pointillés"}}},{"category":"Pc","key":"FE4E","mappings":{"default":{"default":"tiret bas à point central"}}},{"category":"Pc","key":"FE4F","mappings":{"default":{"default":"tiret bas ondulé"}}},{"category":"Po","key":"FE50","mappings":{"default":{"default":"virgule minuscule"}}},{"category":"Po","key":"FE52","mappings":{"default":{"default":"point minuscule"}}},{"category":"Po","key":"FE54","mappings":{"default":{"default":"point virgule minuscule"}}},{"category":"Po","key":"FE55","mappings":{"default":{"default":"deux points minuscule"}}},{"category":"Po","key":"FE56","mappings":{"default":{"default":"point d'interrogation minuscule"}}},{"category":"Po","key":"FE57","mappings":{"default":{"default":"point d'exclamation minuscule"}}},{"category":"Pd","key":"FE58","mappings":{"default":{"default":"trait d'union cadratin minuscule"}}},{"category":"Po","key":"FE5F","mappings":{"default":{"default":"croisillon minuscule"}}},{"category":"Po","key":"FE60","mappings":{"default":{"default":"perluète minuscule"}}},{"category":"Po","key":"FE61","mappings":{"default":{"default":"astérisque minuscule"}}},{"category":"Sm","key":"FE62","mappings":{"default":{"default":"plus minuscule"}}},{"category":"Pd","key":"FE63","mappings":{"default":{"default":"tiret minuscule"}}},{"category":"Sm","key":"FE64","mappings":{"default":{"default":"inférieur à minuscule"}}},{"category":"Sm","key":"FE65","mappings":{"default":{"default":"supérieur à minuscule"}}},{"category":"Sm","key":"FE66","mappings":{"default":{"default":"égal à minuscule"}}},{"key":"FE68","mappings":{"default":{"default":"integer divide"}},"category":"Po"},{"category":"Sc","key":"FE69","mappings":{"default":{"default":"symbole dollar minuscule"}}},{"category":"Po","key":"FE6A","mappings":{"default":{"default":"symbole pour cent minuscule"}}},{"category":"Po","key":"FE6B","mappings":{"default":{"default":"arrobe minuscule"}}},{"category":"Po","key":"FF01","mappings":{"default":{"default":"point d'exclamation"}}},{"category":"Po","key":"FF02","mappings":{"default":{"default":"guillemet"}}},{"category":"Po","key":"FF03","mappings":{"default":{"default":"croisillon"}}},{"category":"Sc","key":"FF04","mappings":{"default":{"default":"symbole dollar"}}},{"category":"Po","key":"FF05","mappings":{"default":{"default":"symbole pour cent"}}},{"category":"Po","key":"FF06","mappings":{"default":{"default":"perluète"}}},{"category":"Po","key":"FF07","mappings":{"default":{"default":"apostrophe"}}},{"category":"Po","key":"FF0A","mappings":{"default":{"default":"astérisque"}}},{"category":"Sm","key":"FF0B","mappings":{"default":{"default":"plus"}}},{"category":"Po","key":"FF0C","mappings":{"default":{"default":"virgule"}}},{"category":"Pd","key":"FF0D","mappings":{"default":{"default":"tiret"}}},{"category":"Po","key":"FF0E","mappings":{"default":{"default":"point"}}},{"category":"Po","key":"FF0F","mappings":{"default":{"default":"barre oblique"}}},{"category":"Po","key":"FF1A","mappings":{"default":{"default":"deux points colon"}}},{"category":"Po","key":"FF1B","mappings":{"default":{"default":"point virgule"}}},{"category":"Sm","key":"FF1C","mappings":{"default":{"default":"inférieur à"}}},{"category":"Sm","key":"FF1D","mappings":{"default":{"default":"égal à"}}},{"category":"Sm","key":"FF1E","mappings":{"default":{"default":"supérieur à"}}},{"category":"Po","key":"FF1F","mappings":{"default":{"default":"point d'interrogation"}}},{"category":"Po","key":"FF20","mappings":{"default":{"default":"arrobe"}}},{"category":"Po","key":"FF3C","mappings":{"default":{"default":"barre oblique inversée"}}},{"category":"Sk","key":"FF3E","mappings":{"default":{"default":"accent circonflexe"}}},{"category":"Pc","key":"FF3F","mappings":{"default":{"default":"tiret bas"}}},{"category":"Sk","key":"FF40","mappings":{"default":{"default":"accent grave"}}},{"category":"Sm","key":"FF5C","mappings":{"default":{"default":"barre verticale"}}},{"category":"Sm","key":"FF5E","mappings":{"default":{"default":"tilde"}}},{"category":"Sc","key":"FFE0","mappings":{"default":{"default":"symbole centime"}}},{"category":"Sc","key":"FFE1","mappings":{"default":{"default":"symbole livre"}}},{"category":"Sm","key":"FFE2","mappings":{"default":{"default":"négation"}}},{"category":"Sk","key":"FFE3","mappings":{"default":{"default":"macron *"}}},{"category":"So","key":"FFE4","mappings":{"default":{"default":"ligne brisée"}}},{"category":"Sc","key":"FFE5","mappings":{"default":{"default":"symbole yen"}}},{"category":"Sc","key":"FFE6","mappings":{"default":{"default":"symbole won"}}},{"category":"So","key":"FFE8","mappings":{"default":{"default":"ligne verticale mince"}}},{"category":"So","key":"FFED","mappings":{"default":{"default":"carré noir"}}},{"category":"So","key":"FFEE","mappings":{"default":{"default":"cercle blanc"}}}]
+,
+"fr/symbols/math_whitespace.js": 
+[{"locale":"fr"},{"category":"Zs","key":"0020","mappings":{"default":{"default":"espace"}}},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"trait d'union conditionnel"}},"category":"Cf"},{"category":"Zs","key":"2000","mappings":{"default":{"default":"demi cadratin"}}},{"category":"Zs","key":"2001","mappings":{"default":{"default":"cadratin"}}},{"key":"2002","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2004","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2005","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Zs","key":"2006","mappings":{"default":{"default":"sixième de cadratin"}}},{"key":"2007","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2008","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"200C","mappings":{"default":{"default":"antiliant sans chasse"}},"category":"Cf"},{"key":"200D","mappings":{"default":{"default":"liant sans chasse"}},"category":"Cf"},{"key":"200E","mappings":{"default":{"default":"marque gauche à droite"}},"category":"Cf"},{"key":"200F","mappings":{"default":{"default":"marque droite à gauche"}},"category":"Cf"},{"category":"Zl","key":"2028","mappings":{"default":{"default":"séparateur de lignes"}}},{"category":"Zp","key":"2029","mappings":{"default":{"default":"séparateur de paragraphes"}}},{"category":"Cf","key":"202A","mappings":{"default":{"default":"enchâssement gauche à droite"}}},{"category":"Cf","key":"202B","mappings":{"default":{"default":"enchâssement droite à gauche"}}},{"category":"Cf","key":"202C","mappings":{"default":{"default":"dépilement de formatage directionnel"}}},{"category":"Cf","key":"202D","mappings":{"default":{"default":"forçage gauche à droite"}}},{"category":"Cf","key":"202E","mappings":{"default":{"default":"forçage droite à gauche"}}},{"category":"Zs","key":"202F","mappings":{"default":{"default":"espace insécable étroite"}}},{"key":"205F","mappings":{"default":{"default":"espace moyenne mathématique"}},"category":"Zs"},{"key":"2060","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"2061","mappings":{"default":{"default":"de"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":" "}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"2064","mappings":{"default":{"default":"plus invisible"}}},{"category":"Cf","key":"206A","mappings":{"default":{"default":"inhibiteur d'échange symétrique"}}},{"category":"Cf","key":"206B","mappings":{"default":{"default":"activateur d'échange symétrique"}}},{"category":"Cf","key":"206E","mappings":{"default":{"default":"sélecteur de formes numérales nationales"}}},{"category":"Cf","key":"206F","mappings":{"default":{"default":"sélecteur de formes numérales de référence"}}},{"key":"FEFF","mappings":{"default":{"default":"espace ultrafine"}},"category":"Cf"},{"category":"Cf","key":"FFF9","mappings":{"default":{"default":"ancre d'annotation interlinéaire"}}},{"category":"Cf","key":"FFFA","mappings":{"default":{"default":"séparateur d'annotation interlinéaire"}}},{"category":"Cf","key":"FFFB","mappings":{"default":{"default":"terminateur d'annotation interlinéaire"}}}]
+,
+"fr/symbols/other_stars.js": 
+[{"locale":"fr"},{"category":"So","key":"23E8","mappings":{"default":{"default":"symbole exposant décimal"}}},{"key":"2605","mappings":{"default":{"default":"étoile noire"}},"category":"So"},{"key":"2606","mappings":{"default":{"default":"étoile blanche"}},"category":"So"},{"category":"So","key":"26AA","mappings":{"default":{"default":"cercle moyen blanc"}}},{"category":"So","key":"26AB","mappings":{"default":{"default":"cercle moyen noir"}}},{"category":"So","key":"2705","mappings":{"default":{"default":"signe de vérification blanc gras"}}},{"key":"2713","mappings":{"default":{"default":"signe de vérification"}},"category":"So"},{"category":"So","key":"2714","mappings":{"default":{"default":"gros signe de vérification"}}},{"category":"So","key":"2715","mappings":{"default":{"default":"x de multiplication"}}},{"category":"So","key":"2716","mappings":{"default":{"default":"gros x de multiplication"}}},{"key":"2717","mappings":{"default":{"default":"x de bulletin de vote"}},"category":"So"},{"category":"So","key":"2718","mappings":{"default":{"default":"gros x de bulletin de vote"}}},{"category":"So","key":"271B","mappings":{"default":{"default":"croix percée d'un carré"}}},{"category":"So","key":"271C","mappings":{"default":{"default":"grosse croix percée d'un carré"}}},{"key":"2720","mappings":{"default":{"default":"croix de malte"}},"category":"So"},{"category":"So","key":"2721","mappings":{"default":{"default":"Étoile de david"}}},{"category":"So","key":"2722","mappings":{"default":{"default":"croix larmée"}}},{"category":"So","key":"2723","mappings":{"default":{"default":"croix pommetée"}}},{"category":"So","key":"2724","mappings":{"default":{"default":"grosse croix pommetée"}}},{"category":"So","key":"2725","mappings":{"default":{"default":"croix tréflée"}}},{"category":"So","key":"2726","mappings":{"default":{"default":"Étoile noire à quatre branches"}}},{"category":"So","key":"2727","mappings":{"default":{"default":"Étoile blanche à quatre branches"}}},{"category":"So","key":"2728","mappings":{"default":{"default":"scintillements"}}},{"category":"So","key":"2729","mappings":{"default":{"default":"Étoile blanche à contour accentué"}}},{"category":"So","key":"272A","mappings":{"default":{"default":"Étoile blanche cerclée"}}},{"category":"So","key":"272B","mappings":{"default":{"default":"molette noire"}}},{"category":"So","key":"272C","mappings":{"default":{"default":"molette blanche"}}},{"category":"So","key":"272D","mappings":{"default":{"default":"Étoile noire avec contour"}}},{"category":"So","key":"272E","mappings":{"default":{"default":"Étoile noire avec gros contour"}}},{"category":"So","key":"272F","mappings":{"default":{"default":"Étoile rayonnante"}}},{"category":"So","key":"2730","mappings":{"default":{"default":"Étoile blanche ombrée"}}},{"category":"So","key":"2731","mappings":{"default":{"default":"gros astérisque"}}},{"category":"So","key":"2732","mappings":{"default":{"default":"astérisque percé"}}},{"category":"So","key":"2733","mappings":{"default":{"default":"astérisque à huit branches"}}},{"category":"So","key":"2734","mappings":{"default":{"default":"Étoile noire à huit branches"}}},{"category":"So","key":"2735","mappings":{"default":{"default":"Étoile rayonnante à huit branches"}}},{"key":"2736","mappings":{"default":{"default":"étoile noire à six branches"}},"category":"So"},{"category":"So","key":"2739","mappings":{"default":{"default":"Étoile noire à douze branches"}}},{"category":"So","key":"273A","mappings":{"default":{"default":"astérisque à seize branches"}}},{"category":"So","key":"273B","mappings":{"default":{"default":"astérisque larmé"}}},{"category":"So","key":"273C","mappings":{"default":{"default":"astérisque larmé percé"}}},{"key":"273D","mappings":{"default":{"default":"gros astérisque larmé"}},"category":"So"},{"category":"So","key":"273E","mappings":{"default":{"default":"sixtefeuille blanche et noire"}}},{"category":"So","key":"273F","mappings":{"default":{"default":"quintefeuille noire"}}},{"category":"So","key":"2740","mappings":{"default":{"default":"quintefeuille blanche"}}},{"category":"So","key":"2741","mappings":{"default":{"default":"double quartefeuille noire avec contour"}}},{"category":"So","key":"2742","mappings":{"default":{"default":"Étoile cerclée percée à huit branches"}}},{"category":"So","key":"2743","mappings":{"default":{"default":"gros astérisque rayonnant larmé"}}},{"category":"So","key":"2744","mappings":{"default":{"default":"flocon de neige"}}},{"category":"So","key":"2745","mappings":{"default":{"default":"flocon de neige à trois folioles transpercé"}}},{"category":"So","key":"2746","mappings":{"default":{"default":"gros flocon de neige à chevrons"}}},{"category":"So","key":"2747","mappings":{"default":{"default":"Étincellement"}}},{"category":"So","key":"2748","mappings":{"default":{"default":"gros étincellement"}}},{"category":"So","key":"2749","mappings":{"default":{"default":"astérisque pommeté"}}},{"category":"So","key":"274A","mappings":{"default":{"default":"astérisque hélice à huit branches larmées"}}},{"category":"So","key":"274B","mappings":{"default":{"default":"gros astérisque hélice à huit branches larmées"}}},{"category":"So","key":"274C","mappings":{"default":{"default":"croix grasse"}}},{"category":"So","key":"274D","mappings":{"default":{"default":"cercle blanc ombré"}}}]
+,
+"fr/units/energy.js": 
+[{"locale":"fr"},{"key":"W","mappings":{"default":{"default":"watts","singular":"watt","dual":""}},"category":"energy","names":["W","w"]},{"key":"J","mappings":{"default":{"default":"joules","singular":"joule","dual":""}},"category":"energy","names":["J"]},{"key":"N","mappings":{"default":{"default":"newtons","singular":"newton","dual":""}},"category":"energy","names":["N"]},{"key":"A","mappings":{"default":{"default":"ampères","singular":"ampère","dual":""}},"category":"energy","names":["A"]},{"key":"V","mappings":{"default":{"default":"volts","singular":"volt","dual":""}},"category":"energy","names":["V"]},{"key":"Ω","mappings":{"default":{"default":"ohms","singular":"ohm","dual":""}},"category":"energy","names":["Ω","Ohm"]}]
+,
+"fr/units/length.js": 
+[{"locale":"fr"},{"key":"m","mappings":{"default":{"default":"mètres","singular":"mètre","dual":""}},"category":"Length","names":["m"]},{"key":"ft","mappings":{"default":{"default":"pieds","singular":"pied","dual":""}},"category":"Length","names":["ft","ft."]},{"key":"in","mappings":{"default":{"default":"pouces","singular":"pouce","dual":""}},"category":"Length","names":["in","in."]},{"key":"mi","mappings":{"default":{"default":"miles","singular":"mile","dual":""}},"category":"Length","names":["mi","mi."]},{"key":"yd","mappings":{"default":{"default":"yards","singular":"yard","dual":""}},"category":"Length","names":["yd","yd."]}]
+,
+"fr/units/memory.js": 
+[{"locale":"fr"}]
+,
+"fr/units/other.js": 
+[{"locale":"fr"}]
+,
+"fr/units/speed.js": 
+[{"locale":"fr"},{"key":"mph","mappings":{"default":{"default":"miles par heure","singular":"mile par heure","dual":""}},"names":["mph"]}]
+,
+"fr/units/temperature.js": 
+[{"locale":"fr"},{"key":"F","mappings":{"default":{"default":"farads","singular":"farad","dual":""}},"names":["F","F.","°F"]},{"key":"C","mappings":{"default":{"default":"coulombs","singular":"coulomb","dual":""}},"names":["C","°C"]},{"key":"K","mappings":{"default":{"default":"kelvins","singular":"kelvin","dual":""}},"names":["K","°K"]}]
+,
+"fr/units/time.js": 
+[{"locale":"fr"},{"key":"s","mappings":{"default":{"default":"secondes","singular":"seconde","dual":""}},"category":"time","names":["s"]}]
+,
+"fr/units/volume.js": 
+[{"locale":"fr"},{"key":"bbl","mappings":{"default":{"default":"barils","singular":"baril","dual":""}},"category":"volume","names":["bbl.","bbl"]},{"key":"gal","mappings":{"default":{"default":"gallons","singular":"gallon","dual":""}},"category":"volume","names":["gal","gal."]},{"key":"pt","mappings":{"default":{"default":"pintes","singular":"pinte","dual":""}},"category":"volume","names":["pt","pt."]},{"key":"qt","mappings":{"default":{"default":"quarts","singular":"quart","dual":""}},"category":"volume","names":["qt","qt."]},{"key":"tbsp","mappings":{"default":{"default":"cuillères de table","singular":"cuillèe de table","dual":""}},"category":"volume","names":["tbsp","tbsp."]},{"key":"tsp","mappings":{"default":{"default":"cuillèes à thé","singular":"cuillère à thé","dual":""}},"category":"volume","names":["tsp","tsp."]},{"key":"l","mappings":{"default":{"default":"litres","singular":"litre","dual":""}},"category":"volume","names":["l"]}]
+,
+"fr/units/weight.js": 
+[{"locale":"fr"},{"key":"lb","mappings":{"default":{"default":"livres","singular":"livre","dual":""}},"names":["lb","lb."]},{"key":"oz","mappings":{"default":{"default":"onces","singular":"oce","dual":""}},"names":["oz","oz."]},{"key":"gr","mappings":{"default":{"default":"grains","singular":"grain","dual":""}},"names":["g","gr"]},{"key":"t","mappings":{"default":{"default":"tonnes","singular":"tonne","dual":""}},"names":["t","T"]}]
+}
+
diff --git a/extensions/a11y/mathmaps/mathmaps_ie.js b/extensions/a11y/mathmaps/mathmaps_ie.js
index 76c374818c..51201aa891 100644
--- a/extensions/a11y/mathmaps/mathmaps_ie.js
+++ b/extensions/a11y/mathmaps/mathmaps_ie.js
@@ -1,308 +1,518 @@
 sre.BrowserUtil.mapsForIE = {
-"en/algebra.js": 
-[{"locale":"en"},{"category":"Algebra","mappings":{"default":{"default":"degree"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"determinant","short":"det"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphism","short":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"kernel"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]
+"de/functions/algebra.js": 
+[{"locale":"de"},{"category":"Algebra","mappings":{"default":{"default":"Grad"}},"key":"deg","names":["deg"]},{"key":"det","mappings":{"default":{"default":"Determinante"}},"category":"Algebra","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"Dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"Homomorphismus"},"mathspeak":{"default":"hom"},"clearspeak":{"default":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"Kern"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"Spur"}},"key":"Tr","names":["Tr","tr"]}]
 ,
-"en/elementary.js": 
-[{"locale":"en"},{"category":"Elementary","mappings":{"default":{"default":"logarithm","alternative":"logarithm function","short":"log"}},"key":"log","names":["log"]},{"category":"Elementary","mappings":{"default":{"default":"natural logarithm","alternative":"natural logarithm function","short":"natural log"},"mathspeak":{"default":"ln"}},"key":"ln","names":["ln"]},{"category":"Elementary","mappings":{"default":{"default":"logarithm base 10","short":"log base 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"exponential","alternative":"exponential function","short":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"greatest common divisor","short":"gcd"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"least common multiple","short":"lcm"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"argument","short":"arg"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"imaginary part","short":"imaginary"},"mathspeak":{"default":"im"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"real part","short":"real"},"mathspeak":{"default":"re"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"infimum","short":"inf"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"limit","short":"lim"},"mathspeak":{"default":"limit"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"infimum default","alternative":"inferior limit","short":"liminf"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"supremum limit","alternative":"superior limit","short":"limsup"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"maximum","short":"max"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"minimum","short":"min"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"supremum","short":"sup"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"injective limit","alternative":"direct limit","short":"colimit"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projective limit","alternative":"inverse limit","short":"limit"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"modulo","short":"mod"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"probability"}},"key":"Pr","names":["Pr"]}]
+"de/functions/elementary.js": 
+[{"locale":"de"},{"key":"log","mappings":{"default":{"default":"Logarithmus"}},"category":"Logarithm","names":["log"]},{"key":"ln","mappings":{"default":{"default":"natürlicher Logarithmus"}},"category":"Logarithm","names":["ln"]},{"category":"Logarithm","mappings":{"default":{"default":"Logarithmus zur Basis 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"Exponent"},"mathspeak":{"default":"exp"},"clearspeak":{"default":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"größter gemeinsamer Teiler"},"mathspeak":{"default":"ggt"},"clearspeak":{"default":"ggt"}},"key":"gcd","names":["gcd","ggt","ggT"]},{"category":"Elementary","mappings":{"default":{"default":"kleinstes gemeinsames Vielfaches"},"mathspeak":{"default":"kgv"},"clearspeak":{"default":"kgv"}},"key":"lcm","names":["lcm","kgv","kgV"]},{"category":"Complex","mappings":{"default":{"default":"Argument"}},"key":"arg","names":["arg"]},{"key":"im","mappings":{"default":{"default":"der Imaginärteil der komplexen Zahl"}},"category":"Complex","names":["im"]},{"key":"re","mappings":{"default":{"default":"der Realteil der komplexen Zahl"}},"category":"Complex","names":["re"]},{"key":"mod","mappings":{"default":{"default":"modulo"}},"category":"Elementary","names":["mod"]},{"category":"Limits","mappings":{"default":{"default":"Infimum"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"Limes"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"Limes inferior"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"Limes superior"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"Maximum"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"Minimum"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"Supremum"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"Colimes"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projektiver Limes"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Probability","mappings":{"default":{"default":"Wahrscheinlichkeit"}},"key":"Pr","names":["Pr"]}]
 ,
-"en/hyperbolic.js": 
-[{"locale":"en"},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosine function","short":"hyperbolic cosine"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cotangent function","short":"hyperbolic cotangent"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosecant function","short":"hyperbolic cosecant"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic secant function","short":"hyperbolic secant"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic sine function","short":"hyperbolic sine"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic tangent function","short":"hyperbolic tangent"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cosine function","alternative":"area hyperbolic cosine function","short":"area hyperbolic cosine"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cotangent function","alternative":"area hyperbolic cotangent function","short":"area hyperbolic cotangent"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cosecant function","alternative":"area hyperbolic cosecant function","short":"area hyperbolic cosecant"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic secant function","alternative":"area hyperbolic secant function","short":"area hyperbolic secant"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic sine function","alternative":"area hyperbolic sine function","short":"area hyperbolic sine"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic tangent function","alternative":"area hyperbolic tangent function","short":"area hyperbolic tangent"}},"key":"artanh","names":["artanh","arctanh"]}]
+"de/functions/hyperbolic.js": 
+[{"locale":"de"},{"key":"cosh","mappings":{"default":{"default":"Kosinus hyperbolicus"}},"category":"Hyperbolic","names":["cosh"]},{"key":"coth","mappings":{"default":{"default":"Kotangens hyperbolicus"}},"category":"Hyperbolic","names":["coth"]},{"key":"csch","mappings":{"default":{"default":"Kosekans hyperbolicus"}},"category":"Hyperbolic","names":["csch"]},{"key":"sech","mappings":{"default":{"default":"Sekans hyperbolicus"}},"category":"Hyperbolic","names":["sech"]},{"key":"sinh","mappings":{"default":{"default":"Sinus hyperbolicus"}},"category":"Hyperbolic","names":["sinh"]},{"key":"tanh","mappings":{"default":{"default":"Tangens hyperbolicus"}},"category":"Hyperbolic","names":["tanh"]},{"key":"arcosh","mappings":{"default":{"default":"Areakosinus hyperbolicus"}},"category":"Area","names":["arcosh","arccosh"]},{"key":"arcoth","mappings":{"default":{"default":"Areakotangens hyperbolicus"}},"category":"Area","names":["arcoth","arccoth"]},{"key":"arcsch","mappings":{"default":{"default":"Areakosekans hyperbolicus"}},"category":"Area","names":["arcsch","arccsch"]},{"key":"arsech","mappings":{"default":{"default":"Areasekans hyperbolicus"}},"category":"Area","names":["arsech","arcsech"]},{"key":"arsinh","mappings":{"default":{"default":"Areasinus hyperbolicus"}},"category":"Area","names":["arsinh","arcsinh"]},{"key":"artanh","mappings":{"default":{"default":"Areatangens hyperbolicus "}},"category":"Area","names":["artanh","arctanh"]}]
 ,
-"en/trigonometry.js": 
-[{"locale":"en"},{"category":"Trigonometric","mappings":{"default":{"default":"cosine function","short":"cosine"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"cotangent function","short":"cotangent"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"cosecant function","short":"cosecant"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"secant function","short":"secant"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"sine function","alternative":"sine function","short":"sine"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"tangent function","short":"tangent"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cosine function","alternative":"arc cosine function","short":"arc cosine"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cotangent function","alternative":"arc cotangent function","short":"arc cotangent"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cosecant function","alternative":"arc cosecant function","short":"arc cosecant"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse secant function","alternative":"arc secant function","short":"arc secant"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse sine function","alternative":"arc sine function","short":"arc sine"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse tangent function","alternative":"arc tangent function","short":"arc tangent"}},"key":"arctan","names":["arctan"]}]
+"de/functions/trigonometry.js": 
+[{"locale":"de"},{"key":"cos","mappings":{"default":{"default":"Kosinus"}},"category":"Trigonometric","names":["cos","cosine"]},{"key":"cot","mappings":{"default":{"default":"Kotangens"}},"category":"Trigonometric","names":["cot"]},{"key":"csc","mappings":{"default":{"default":"Kosekans"}},"category":"Trigonometric","names":["csc"]},{"key":"sec","mappings":{"default":{"default":"Sekans"}},"category":"Trigonometric","names":["sec"]},{"key":"sin","mappings":{"default":{"default":"Sinus"}},"category":"Trigonometric","names":["sin","sine"]},{"key":"tan","mappings":{"default":{"default":"Tangens"}},"category":"Trigonometric","names":["tan"]},{"key":"arccos","mappings":{"default":{"default":"Arkuskosinus"},"clearspeak":{"Trig_TrigInverse":"inverser Kosinus"}},"category":"Cyclometric","names":["arccos"]},{"key":"arccot","mappings":{"default":{"default":"Arkuskotangens"},"clearspeak":{"Trig_TrigInverse":"inverser Kotangens"}},"category":"Cyclometric","names":["arccot"]},{"key":"arccsc","mappings":{"default":{"default":"Arkuskosekans"},"clearspeak":{"Trig_TrigInverse":"inverser Kosekans"}},"category":"Cyclometric","names":["arccsc"]},{"key":"arcsec","mappings":{"default":{"default":"Arkussekans"},"clearspeak":{"Trig_TrigInverse":"inverser Sekans"}},"category":"Cyclometric","names":["arcsec"]},{"key":"arcsin","mappings":{"default":{"default":"Arkussinus"},"clearspeak":{"Trig_TrigInverse":"inverser Sinus"}},"category":"Cyclometric","names":["arcsin"]},{"key":"arctan","mappings":{"default":{"default":"Arkustangens"},"clearspeak":{"Trig_TrigInverse":"inverser Tangens"}},"category":"Cyclometric","names":["arctan"]}]
 ,
-"en/greek-capital.js": 
-[{"locale":"en"},{"category":"Lu","key":"0391","mappings":{"default":{"default":"greek capital letter alpha","short":"cap alpha"},"mathspeak":{"default":"upper Alpha"}}},{"category":"Lu","key":"0392","mappings":{"default":{"default":"greek capital letter beta","short":"cap beta"},"mathspeak":{"default":"upper Beta"}}},{"category":"Lu","key":"0393","mappings":{"default":{"default":"greek capital letter gamma","short":"cap gamma"},"mathspeak":{"default":"upper Gamma"}}},{"category":"Lu","key":"0394","mappings":{"default":{"default":"greek capital letter delta","short":"cap delta"},"mathspeak":{"default":"upper Delta"}}},{"category":"Lu","key":"0395","mappings":{"default":{"default":"greek capital letter epsilon","short":"cap epsilon"},"mathspeak":{"default":"upper Epsilon"}}},{"category":"Lu","key":"0396","mappings":{"default":{"default":"greek capital letter zeta","short":"cap zeta"},"mathspeak":{"default":"upper Zeta"}}},{"category":"Lu","key":"0397","mappings":{"default":{"default":"greek capital letter eta","short":"cap eta"},"mathspeak":{"default":"upper Eta"}}},{"category":"Lu","key":"0398","mappings":{"default":{"default":"greek capital letter theta","short":"cap theta"},"mathspeak":{"default":"upper Theta"}}},{"category":"Lu","key":"0399","mappings":{"default":{"default":"greek capital letter iota","short":"cap iota"},"mathspeak":{"default":"upper Iota"}}},{"category":"Lu","key":"039A","mappings":{"default":{"default":"greek capital letter kappa","short":"cap kappa"},"mathspeak":{"default":"upper Kappa"}}},{"category":"Lu","key":"039B","mappings":{"default":{"default":"greek capital letter lamda","alternative":"greek capital letter lambda","short":"cap lamda"},"mathspeak":{"default":"upper Lamda"}}},{"category":"Lu","key":"039C","mappings":{"default":{"default":"greek capital letter mu","short":"cap mu"},"mathspeak":{"default":"upper Mu"}}},{"category":"Lu","key":"039D","mappings":{"default":{"default":"greek capital letter nu","short":"cap nu"},"mathspeak":{"default":"upper Nu"}}},{"category":"Lu","key":"039E","mappings":{"default":{"default":"greek capital letter xi","short":"cap xi"},"mathspeak":{"default":"upper Xi"}}},{"category":"Lu","key":"039F","mappings":{"default":{"default":"greek capital letter omicron","short":"cap omicron"},"mathspeak":{"default":"upper Omicron"}}},{"category":"Lu","key":"03A0","mappings":{"default":{"default":"greek capital letter pi","short":"cap pi"},"mathspeak":{"default":"upper Pi"}}},{"category":"Lu","key":"03A1","mappings":{"default":{"default":"greek capital letter rho","short":"cap rho"},"mathspeak":{"default":"upper Rho"}}},{"category":"Lu","key":"03A3","mappings":{"default":{"default":"greek capital letter sigma","short":"cap sigma"},"mathspeak":{"default":"upper Sigma"}}},{"category":"Lu","key":"03A4","mappings":{"default":{"default":"greek capital letter tau","short":"cap tau"},"mathspeak":{"default":"upper Tau"}}},{"category":"Lu","key":"03A5","mappings":{"default":{"default":"greek capital letter upsilon","short":"cap upsilon"},"mathspeak":{"default":"upper Upsilon"}}},{"category":"Lu","key":"03A6","mappings":{"default":{"default":"greek capital letter phi","short":"cap phi"},"mathspeak":{"default":"upper Phi"}}},{"category":"Lu","key":"03A7","mappings":{"default":{"default":"greek capital letter chi","short":"cap chi"},"mathspeak":{"default":"upper Chi"}}},{"category":"Lu","key":"03A8","mappings":{"default":{"default":"greek capital letter psi","short":"cap psi"},"mathspeak":{"default":"upper Psi"}}},{"category":"Lu","key":"03A9","mappings":{"default":{"default":"greek capital letter omega","short":"cap omega"},"mathspeak":{"default":"upper Omega"}}}]
+"de/symbols/digits_rest.js": 
+[{"locale":"de"},{"key":"00B2","mappings":{"default":{"default":"Quadrat"},"clearspeak":{"Exponent_Exponent":"mit Exponent 2","Exponent_OrdinalPower":"zur zweiten Potenz"}},"category":"No"},{"key":"00B3","mappings":{"default":{"default":"Kubik"},"clearspeak":{"Exponent_Exponent":"mit Exponent 3","Exponent_OrdinalPower":"zur dritten Potenz"}},"category":"No"},{"key":"00BC","mappings":{"default":{"default":"ein Viertel"}},"category":"No"},{"key":"00BD","mappings":{"default":{"default":"ein Halb"}},"category":"No"},{"key":"00BE","mappings":{"default":{"default":"drei Viertel"}},"category":"No"},{"category":"No","key":"2150","mappings":{"default":{"default":"ein siebtel"}}},{"category":"No","key":"2151","mappings":{"default":{"default":"ein neuntel"}}},{"category":"No","key":"2152","mappings":{"default":{"default":"ein zehntel"}}},{"category":"No","key":"2153","mappings":{"default":{"default":"ein drittel"}}},{"category":"No","key":"2154","mappings":{"default":{"default":"zwei drittel"}}},{"category":"No","key":"2155","mappings":{"default":{"default":"ein fünftel"}}},{"category":"No","key":"2156","mappings":{"default":{"default":"zwei fünftel"}}},{"category":"No","key":"2157","mappings":{"default":{"default":"drei fünftel"}}},{"category":"No","key":"2158","mappings":{"default":{"default":"vier fünftel"}}},{"category":"No","key":"2159","mappings":{"default":{"default":"ein sechstel"}}},{"category":"No","key":"215A","mappings":{"default":{"default":"fünf sechstel"}}},{"category":"No","key":"215B","mappings":{"default":{"default":"ein achtel"}}},{"category":"No","key":"215C","mappings":{"default":{"default":"drei achtel"}}},{"category":"No","key":"215D","mappings":{"default":{"default":"fünf achtel"}}},{"category":"No","key":"215E","mappings":{"default":{"default":"sieben achtel"}}},{"category":"No","key":"215F","mappings":{"default":{"default":"Bruchzähler eins"}}},{"category":"No","key":"2189","mappings":{"default":{"default":"null drittel"}}},{"category":"No","key":"3248","mappings":{"default":{"default":"eingekreiste Zehn auf schwarzem Quadrat"}}},{"category":"No","key":"3249","mappings":{"default":{"default":"eingekreiste Zwanzig auf schwarzem Quadrat"}}},{"category":"No","key":"324A","mappings":{"default":{"default":"eingekreiste Dreißig auf schwarzem Quadrat"}}},{"category":"No","key":"324B","mappings":{"default":{"default":"eingekreiste Vierzig auf schwarzem Quadrat"}}},{"category":"No","key":"324C","mappings":{"default":{"default":"eingekreiste Fünfzig auf schwarzem Quadrat"}}},{"category":"No","key":"324D","mappings":{"default":{"default":"eingekreiste Sechzig auf schwarzem Quadrat"}}},{"category":"No","key":"324E","mappings":{"default":{"default":"eingekreiste Siebzig auf schwarzem Quadrat"}}},{"category":"No","key":"324F","mappings":{"default":{"default":"eingekreiste Achtzig auf schwarzem Quadrat"}}}]
 ,
-"en/greek-mathfonts-bold.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital alpha","alternative":"bold capital alpha","short":"bold cap alpha"},"mathspeak":{"default":"bold upper Alpha"}},"key":"1D6A8"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital beta","alternative":"bold capital beta","short":"bold cap beta"},"mathspeak":{"default":"bold upper Beta"}},"key":"1D6A9"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital gamma","alternative":"bold capital gamma","short":"bold cap gamma"},"mathspeak":{"default":"bold upper Gamma"}},"key":"1D6AA"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital delta","alternative":"bold capital delta","short":"bold cap delta"},"mathspeak":{"default":"bold upper Delta"}},"key":"1D6AB"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital epsilon","alternative":"bold capital epsilon","short":"bold cap epsilon"},"mathspeak":{"default":"bold upper Epsilon"}},"key":"1D6AC"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital zeta","alternative":"bold capital zeta","short":"bold cap zeta"},"mathspeak":{"default":"bold upper Zeta"}},"key":"1D6AD"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital eta","alternative":"bold capital eta","short":"bold cap eta"},"mathspeak":{"default":"bold upper Eta"}},"key":"1D6AE"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital theta","alternative":"bold capital theta","short":"bold cap theta"},"mathspeak":{"default":"bold upper Theta"}},"key":"1D6AF"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital iota","alternative":"bold capital iota","short":"bold cap iota"},"mathspeak":{"default":"bold upper Iota"}},"key":"1D6B0"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital kappa","alternative":"bold capital kappa","short":"bold cap kappa"},"mathspeak":{"default":"bold upper Kappa"}},"key":"1D6B1"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital lamda","alternative":"bold capital lamda","short":"bold cap lamda"},"mathspeak":{"default":"bold upper Lamda"}},"key":"1D6B2"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital mu","alternative":"bold capital mu","short":"bold cap mu"},"mathspeak":{"default":"bold upper Mu"}},"key":"1D6B3"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital nu","alternative":"bold capital nu","short":"bold cap nu"},"mathspeak":{"default":"bold upper Nu"}},"key":"1D6B4"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital xi","alternative":"bold capital xi","short":"bold cap xi"},"mathspeak":{"default":"bold upper Xi"}},"key":"1D6B5"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital omicron","alternative":"bold capital omicron","short":"bold cap omicron"},"mathspeak":{"default":"bold upper Omicron"}},"key":"1D6B6"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital pi","alternative":"bold capital pi","short":"bold cap pi"},"mathspeak":{"default":"bold upper Pi"}},"key":"1D6B7"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital rho","alternative":"bold capital rho","short":"bold cap rho"},"mathspeak":{"default":"bold upper Rho"}},"key":"1D6B8"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital sigma","alternative":"bold capital sigma","short":"bold cap sigma"},"mathspeak":{"default":"bold upper Sigma"}},"key":"1D6BA"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital tau","alternative":"bold capital tau","short":"bold cap tau"},"mathspeak":{"default":"bold upper Tau"}},"key":"1D6BB"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital upsilon","alternative":"bold capital upsilon","short":"bold cap upsilon"},"mathspeak":{"default":"bold upper Upsilon"}},"key":"1D6BC"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital phi","alternative":"bold capital phi","short":"bold cap phi"},"mathspeak":{"default":"bold upper Phi"}},"key":"1D6BD"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital chi","alternative":"bold capital chi","short":"bold cap chi"},"mathspeak":{"default":"bold upper Chi"}},"key":"1D6BE"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital psi","alternative":"bold capital psi","short":"bold cap psi"},"mathspeak":{"default":"bold upper Psi"}},"key":"1D6BF"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital omega","alternative":"bold capital omega","short":"bold cap omega"},"mathspeak":{"default":"bold upper Omega"}},"key":"1D6C0"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small alpha","alternative":"bold small alpha","short":"bold alpha"}},"key":"1D6C2"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small beta","alternative":"bold small beta","short":"bold beta"}},"key":"1D6C3"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small gamma","alternative":"bold small gamma","short":"bold gamma"}},"key":"1D6C4"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small delta","alternative":"bold small delta","short":"bold delta"}},"key":"1D6C5"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small epsilon","alternative":"bold small epsilon","short":"bold epsilon"}},"key":"1D6C6"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small zeta","alternative":"bold small zeta","short":"bold zeta"}},"key":"1D6C7"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small eta","alternative":"bold small eta","short":"bold eta"}},"key":"1D6C8"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small theta","alternative":"bold small theta","short":"bold theta"}},"key":"1D6C9"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small iota","alternative":"bold small iota","short":"bold iota"}},"key":"1D6CA"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small kappa","alternative":"bold small kappa","short":"bold kappa"}},"key":"1D6CB"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small lamda","alternative":"bold small lamda","short":"bold lamda"}},"key":"1D6CC"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small mu","alternative":"bold small mu","short":"bold mu"}},"key":"1D6CD"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small nu","alternative":"bold small nu","short":"bold nu"}},"key":"1D6CE"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small xi","alternative":"bold small xi","short":"bold xi"}},"key":"1D6CF"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small omicron","alternative":"bold small omicron","short":"bold omicron"}},"key":"1D6D0"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small pi","alternative":"bold small pi","short":"bold pi"}},"key":"1D6D1"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small rho","alternative":"bold small rho","short":"bold rho"}},"key":"1D6D2"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small final sigma","alternative":"bold small final sigma","short":"bold final sigma"}},"key":"1D6D3"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small sigma","alternative":"bold small sigma","short":"bold sigma"}},"key":"1D6D4"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small tau","alternative":"bold small tau","short":"bold tau"}},"key":"1D6D5"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small upsilon","alternative":"bold small upsilon","short":"bold upsilon"}},"key":"1D6D6"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small phi","alternative":"bold small phi","short":"bold phi"}},"key":"1D6D7"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small chi","alternative":"bold small chi","short":"bold chi"}},"key":"1D6D8"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small psi","alternative":"bold small psi","short":"bold psi"}},"key":"1D6D9"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small omega","alternative":"bold small omega","short":"bold omega"}},"key":"1D6DA"}]
+"de/symbols/greek-rest.js": 
+[{"locale":"de"},{"key":"0394","mappings":{"clearspeak":{"default":"Dreieck","TriangleSymbol_Delta":"großes Delta"}},"category":"Lu"}]
 ,
-"en/greek-mathfonts-italic.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital alpha","alternative":"italic capital alpha","short":"italic cap alpha"},"mathspeak":{"default":"italic upper Alpha"}},"key":"1D6E2"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital beta","alternative":"italic capital beta","short":"italic cap beta"},"mathspeak":{"default":"italic upper Beta"}},"key":"1D6E3"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital gamma","alternative":"italic capital gamma","short":"italic cap gamma"},"mathspeak":{"default":"italic upper Gamma"}},"key":"1D6E4"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital delta","alternative":"italic capital delta","short":"italic cap delta"},"mathspeak":{"default":"italic upper Delta"}},"key":"1D6E5"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital epsilon","alternative":"italic capital epsilon","short":"italic cap epsilon"},"mathspeak":{"default":"italic upper Epsilon"}},"key":"1D6E6"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital zeta","alternative":"italic capital zeta","short":"italic cap zeta"},"mathspeak":{"default":"italic upper Zeta"}},"key":"1D6E7"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital eta","alternative":"italic capital eta","short":"italic cap eta"},"mathspeak":{"default":"italic upper Eta"}},"key":"1D6E8"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital theta","alternative":"italic capital theta","short":"italic cap theta"},"mathspeak":{"default":"italic upper Theta"}},"key":"1D6E9"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital iota","alternative":"italic capital iota","short":"italic cap iota"},"mathspeak":{"default":"italic upper Iota"}},"key":"1D6EA"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital kappa","alternative":"italic capital kappa","short":"italic cap kappa"},"mathspeak":{"default":"italic upper Kappa"}},"key":"1D6EB"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital lamda","alternative":"italic capital lamda","short":"italic cap lamda"},"mathspeak":{"default":"italic upper Lamda"}},"key":"1D6EC"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital mu","alternative":"italic capital mu","short":"italic cap mu"},"mathspeak":{"default":"italic upper Mu"}},"key":"1D6ED"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital nu","alternative":"italic capital nu","short":"italic cap nu"},"mathspeak":{"default":"italic upper Nu"}},"key":"1D6EE"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital xi","alternative":"italic capital xi","short":"italic cap xi"},"mathspeak":{"default":"italic upper Xi"}},"key":"1D6EF"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital omicron","alternative":"italic capital omicron","short":"italic cap omicron"},"mathspeak":{"default":"italic upper Omicron"}},"key":"1D6F0"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital pi","alternative":"italic capital pi","short":"italic cap pi"},"mathspeak":{"default":"italic upper Pi"}},"key":"1D6F1"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital rho","alternative":"italic capital rho","short":"italic cap rho"},"mathspeak":{"default":"italic upper Rho"}},"key":"1D6F2"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital sigma","alternative":"italic capital sigma","short":"italic cap sigma"},"mathspeak":{"default":"italic upper Sigma"}},"key":"1D6F4"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital tau","alternative":"italic capital tau","short":"italic cap tau"},"mathspeak":{"default":"italic upper Tau"}},"key":"1D6F5"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital upsilon","alternative":"italic capital upsilon","short":"italic cap upsilon"},"mathspeak":{"default":"italic upper Upsilon"}},"key":"1D6F6"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital phi","alternative":"italic capital phi","short":"italic cap phi"},"mathspeak":{"default":"italic upper Phi"}},"key":"1D6F7"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital chi","alternative":"italic capital chi","short":"italic cap chi"},"mathspeak":{"default":"italic upper Chi"}},"key":"1D6F8"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital psi","alternative":"italic capital psi","short":"italic cap psi"},"mathspeak":{"default":"italic upper Psi"}},"key":"1D6F9"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital omega","alternative":"italic capital omega","short":"italic cap omega"},"mathspeak":{"default":"italic upper Omega"}},"key":"1D6FA"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small alpha","alternative":"italic small alpha","short":"italic alpha"}},"key":"1D6FC"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small beta","alternative":"italic small beta","short":"italic beta"}},"key":"1D6FD"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small gamma","alternative":"italic small gamma","short":"italic gamma"}},"key":"1D6FE"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small delta","alternative":"italic small delta","short":"italic delta"}},"key":"1D6FF"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small epsilon","alternative":"italic small epsilon","short":"italic epsilon"}},"key":"1D700"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small zeta","alternative":"italic small zeta","short":"italic zeta"}},"key":"1D701"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small eta","alternative":"italic small eta","short":"italic eta"}},"key":"1D702"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small theta","alternative":"italic small theta","short":"italic theta"}},"key":"1D703"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small iota","alternative":"italic small iota","short":"italic iota"}},"key":"1D704"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small kappa","alternative":"italic small kappa","short":"italic kappa"}},"key":"1D705"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small lamda","alternative":"italic small lamda","short":"italic lamda"}},"key":"1D706"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small mu","alternative":"italic small mu","short":"italic mu"}},"key":"1D707"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small nu","alternative":"italic small nu","short":"italic nu"}},"key":"1D708"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small xi","alternative":"italic small xi","short":"italic xi"}},"key":"1D709"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small omicron","alternative":"italic small omicron","short":"italic omicron"}},"key":"1D70A"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small pi","alternative":"italic small pi","short":"italic pi"}},"key":"1D70B"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small rho","alternative":"italic small rho","short":"italic rho"}},"key":"1D70C"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small final sigma","alternative":"italic small final sigma","short":"italic final sigma"}},"key":"1D70D"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small sigma","alternative":"italic small sigma","short":"italic sigma"}},"key":"1D70E"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small tau","alternative":"italic small tau","short":"italic tau"}},"key":"1D70F"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small upsilon","alternative":"italic small upsilon","short":"italic upsilon"}},"key":"1D710"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small phi","alternative":"italic small phi","short":"italic phi"}},"key":"1D711"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small chi","alternative":"italic small chi","short":"italic chi"}},"key":"1D712"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small psi","alternative":"italic small psi","short":"italic psi"}},"key":"1D713"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small omega","alternative":"italic small omega","short":"italic omega"}},"key":"1D714"}]
+"de/symbols/greek-scripts.js": 
+[{"locale":"de"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"Kapitälchen Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"Kapitälchen Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"Kapitälchen Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"Kapitälchen Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"Kapitälchen Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"hochgestelltes gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"hochgestelltes phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"tiefgestelltes beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"tiefgestelltes gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"tiefgestelltes rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"tiefgestelltes phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"tiefgestelltes chi"}}}]
 ,
-"en/greek-mathfonts-sans-serif-bold.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital alpha","alternative":"sans serif bold capital alpha","short":"sans serif bold cap alpha"},"mathspeak":{"default":"sans serif bold upper Alpha"}},"key":"1D756"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital beta","alternative":"sans serif bold capital beta","short":"sans serif bold cap beta"},"mathspeak":{"default":"sans serif bold upper Beta"}},"key":"1D757"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital gamma","alternative":"sans serif bold capital gamma","short":"sans serif bold cap gamma"},"mathspeak":{"default":"sans serif bold upper Gamma"}},"key":"1D758"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital delta","alternative":"sans serif bold capital delta","short":"sans serif bold cap delta"},"mathspeak":{"default":"sans serif bold upper Delta"}},"key":"1D759"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital epsilon","alternative":"sans serif bold capital epsilon","short":"sans serif bold cap epsilon"},"mathspeak":{"default":"sans serif bold upper Epsilon"}},"key":"1D75A"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital zeta","alternative":"sans serif bold capital zeta","short":"sans serif bold cap zeta"},"mathspeak":{"default":"sans serif bold upper Zeta"}},"key":"1D75B"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital eta","alternative":"sans serif bold capital eta","short":"sans serif bold cap eta"},"mathspeak":{"default":"sans serif bold upper Eta"}},"key":"1D75C"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital theta","alternative":"sans serif bold capital theta","short":"sans serif bold cap theta"},"mathspeak":{"default":"sans serif bold upper Theta"}},"key":"1D75D"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital iota","alternative":"sans serif bold capital iota","short":"sans serif bold cap iota"},"mathspeak":{"default":"sans serif bold upper Iota"}},"key":"1D75E"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital kappa","alternative":"sans serif bold capital kappa","short":"sans serif bold cap kappa"},"mathspeak":{"default":"sans serif bold upper Kappa"}},"key":"1D75F"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital lamda","alternative":"sans serif bold capital lamda","short":"sans serif bold cap lamda"},"mathspeak":{"default":"sans serif bold upper Lamda"}},"key":"1D760"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital mu","alternative":"sans serif bold capital mu","short":"sans serif bold cap mu"},"mathspeak":{"default":"sans serif bold upper Mu"}},"key":"1D761"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital nu","alternative":"sans serif bold capital nu","short":"sans serif bold cap nu"},"mathspeak":{"default":"sans serif bold upper Nu"}},"key":"1D762"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital xi","alternative":"sans serif bold capital xi","short":"sans serif bold cap xi"},"mathspeak":{"default":"sans serif bold upper Xi"}},"key":"1D763"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital omicron","alternative":"sans serif bold capital omicron","short":"sans serif bold cap omicron"},"mathspeak":{"default":"sans serif bold upper Omicron"}},"key":"1D764"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital pi","alternative":"sans serif bold capital pi","short":"sans serif bold cap pi"},"mathspeak":{"default":"sans serif bold upper Pi"}},"key":"1D765"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital rho","alternative":"sans serif bold capital rho","short":"sans serif bold cap rho"},"mathspeak":{"default":"sans serif bold upper Rho"}},"key":"1D766"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital sigma","alternative":"sans serif bold capital sigma","short":"sans serif bold cap sigma"},"mathspeak":{"default":"sans serif bold upper Sigma"}},"key":"1D768"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital tau","alternative":"sans serif bold capital tau","short":"sans serif bold cap tau"},"mathspeak":{"default":"sans serif bold upper Tau"}},"key":"1D769"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital upsilon","alternative":"sans serif bold capital upsilon","short":"sans serif bold cap upsilon"},"mathspeak":{"default":"sans serif bold upper Upsilon"}},"key":"1D76A"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital phi","alternative":"sans serif bold capital phi","short":"sans serif bold cap phi"},"mathspeak":{"default":"sans serif bold upper Phi"}},"key":"1D76B"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital chi","alternative":"sans serif bold capital chi","short":"sans serif bold cap chi"},"mathspeak":{"default":"sans serif bold upper Chi"}},"key":"1D76C"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital psi","alternative":"sans serif bold capital psi","short":"sans serif bold cap psi"},"mathspeak":{"default":"sans serif bold upper Psi"}},"key":"1D76D"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital omega","alternative":"sans serif bold capital omega","short":"sans serif bold cap omega"},"mathspeak":{"default":"sans serif bold upper Omega"}},"key":"1D76E"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small alpha","alternative":"sans serif bold small alpha","short":"sans serif bold alpha"}},"key":"1D770"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small beta","alternative":"sans serif bold small beta","short":"sans serif bold beta"}},"key":"1D771"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small gamma","alternative":"sans serif bold small gamma","short":"sans serif bold gamma"}},"key":"1D772"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small delta","alternative":"sans serif bold small delta","short":"sans serif bold delta"}},"key":"1D773"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small epsilon","alternative":"sans serif bold small epsilon","short":"sans serif bold epsilon"}},"key":"1D774"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small zeta","alternative":"sans serif bold small zeta","short":"sans serif bold zeta"}},"key":"1D775"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small eta","alternative":"sans serif bold small eta","short":"sans serif bold eta"}},"key":"1D776"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small theta","alternative":"sans serif bold small theta","short":"sans serif bold theta"}},"key":"1D777"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small iota","alternative":"sans serif bold small iota","short":"sans serif bold iota"}},"key":"1D778"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small kappa","alternative":"sans serif bold small kappa","short":"sans serif bold kappa"}},"key":"1D779"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small lamda","alternative":"sans serif bold small lamda","short":"sans serif bold lamda"}},"key":"1D77A"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small mu","alternative":"sans serif bold small mu","short":"sans serif bold mu"}},"key":"1D77B"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small nu","alternative":"sans serif bold small nu","short":"sans serif bold nu"}},"key":"1D77C"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small xi","alternative":"sans serif bold small xi","short":"sans serif bold xi"}},"key":"1D77D"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small omicron","alternative":"sans serif bold small omicron","short":"sans serif bold omicron"}},"key":"1D77E"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small pi","alternative":"sans serif bold small pi","short":"sans serif bold pi"}},"key":"1D77F"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small rho","alternative":"sans serif bold small rho","short":"sans serif bold rho"}},"key":"1D780"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small final sigma","alternative":"sans serif bold small final sigma","short":"sans serif bold final sigma"}},"key":"1D781"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small sigma","alternative":"sans serif bold small sigma","short":"sans serif bold sigma"}},"key":"1D782"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small tau","alternative":"sans serif bold small tau","short":"sans serif bold tau"}},"key":"1D783"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small upsilon","alternative":"sans serif bold small upsilon","short":"sans serif bold upsilon"}},"key":"1D784"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small phi","alternative":"sans serif bold small phi","short":"sans serif bold phi"}},"key":"1D785"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small chi","alternative":"sans serif bold small chi","short":"sans serif bold chi"}},"key":"1D786"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small psi","alternative":"sans serif bold small psi","short":"sans serif bold psi"}},"key":"1D787"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small omega","alternative":"sans serif bold small omega","short":"sans serif bold omega"}},"key":"1D788"}]
+"de/symbols/greek-symbols.js": 
+[{"locale":"de"},{"category":"Ll","key":"03D0","mappings":{"default":{"default":"beta"}}},{"category":"Ll","key":"03D7","mappings":{"default":{"default":"kai"}}},{"category":"Sm","key":"03F6","mappings":{"default":{"default":"umgekehrtes epsilon"}}},{"category":"Lu","key":"1D7CA","mappings":{"default":{"default":"fettes großes Digamma"}}},{"category":"Ll","key":"1D7CB","mappings":{"default":{"default":"fettes digamma"}}}]
 ,
-"en/greek-scripts.js": 
-[{"locale":"en"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"greek letter small capital gamma","alternative":"greek letter gamma","short":"small cap gamma"},"mathspeak":{"default":"small upper Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"greek letter small capital lamda","alternative":"greek letter lamda","short":"small cap lamda"},"mathspeak":{"default":"small upper Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"greek letter small capital pi","alternative":"greek letter pi","short":"small cap pi"},"mathspeak":{"default":"small upper Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"greek letter small capital rho","alternative":"greek letter rho","short":"small cap rho"},"mathspeak":{"default":"small upper Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"greek letter small capital psi","alternative":"greek letter psi","short":"small cap psi"},"mathspeak":{"default":"small upper Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"modifier letter small greek gamma","alternative":"greek letter superscript gamma","short":"superscript gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"modifier letter small greek phi","alternative":"greek letter superscript phi","short":"superscript phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"greek subscript small letter beta","short":"subscript beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"greek subscript small letter gamma","alternative":"greek letter gamma","short":"subscript gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"greek subscript small letter rho","alternative":"greek letter rho","short":"subscript rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"greek subscript small letter phi","alternative":"greek letter phi","short":"subscript phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"greek subscript small letter chi","alternative":"greek letter chi","short":"subscript chi"}}}]
+"de/symbols/hebrew_letters.js": 
+[{"locale":"de"},{"category":"Lo","key":"2135","mappings":{"default":{"default":"Alef-Symbol"}}},{"category":"Lo","key":"2136","mappings":{"default":{"default":"Bet-Symbol"}}},{"category":"Lo","key":"2137","mappings":{"default":{"default":"Gimel-Symbol"}}},{"category":"Lo","key":"2138","mappings":{"default":{"default":"Dalet-Symbol"}}}]
 ,
-"en/greek-small.js": 
-[{"locale":"en"},{"category":"Ll","key":"03B1","mappings":{"default":{"default":"greek small letter alpha","short":"alpha"}}},{"category":"Ll","key":"03B2","mappings":{"default":{"default":"greek small letter beta","short":"beta"}}},{"category":"Ll","key":"03B3","mappings":{"default":{"default":"greek small letter gamma","short":"gamma"}}},{"category":"Ll","key":"03B4","mappings":{"default":{"default":"greek small letter delta","short":"delta"}}},{"category":"Ll","key":"03B5","mappings":{"default":{"default":"greek small letter epsilon","short":"epsilon"}}},{"category":"Ll","key":"03B6","mappings":{"default":{"default":"greek small letter zeta","short":"zeta"}}},{"category":"Ll","key":"03B7","mappings":{"default":{"default":"greek small letter eta","short":"eta"}}},{"category":"Ll","key":"03B8","mappings":{"default":{"default":"greek small letter theta","short":"theta"}}},{"category":"Ll","key":"03B9","mappings":{"default":{"default":"greek small letter iota","short":"iota"}}},{"category":"Ll","key":"03BA","mappings":{"default":{"default":"greek small letter kappa","short":"kappa"}}},{"category":"Ll","key":"03BB","mappings":{"default":{"default":"greek small letter lamda","alternative":"greek small letter lambda","short":"lamda"}}},{"category":"Ll","key":"03BC","mappings":{"default":{"default":"greek small letter mu","short":"mu"}}},{"category":"Ll","key":"03BD","mappings":{"default":{"default":"greek small letter nu","short":"nu"}}},{"category":"Ll","key":"03BE","mappings":{"default":{"default":"greek small letter xi","short":"xi"}}},{"category":"Ll","key":"03BF","mappings":{"default":{"default":"greek small letter omicron","short":"omicron"}}},{"category":"Ll","key":"03C0","mappings":{"default":{"default":"greek small letter pi","short":"pi"}}},{"category":"Ll","key":"03C1","mappings":{"default":{"default":"greek small letter rho","short":"rho"}}},{"category":"Ll","key":"03C2","mappings":{"default":{"default":"greek small letter final sigma","short":"final sigma"}}},{"category":"Ll","key":"03C3","mappings":{"default":{"default":"greek small letter sigma","short":"sigma"}}},{"category":"Ll","key":"03C4","mappings":{"default":{"default":"greek small letter tau","short":"tau"}}},{"category":"Ll","key":"03C5","mappings":{"default":{"default":"greek small letter upsilon","short":"upsilon"}}},{"category":"Ll","key":"03C6","mappings":{"default":{"default":"greek small letter phi","short":"phi"}}},{"category":"Ll","key":"03C7","mappings":{"default":{"default":"greek small letter chi","short":"chi"}}},{"category":"Ll","key":"03C8","mappings":{"default":{"default":"greek small letter psi","short":"psi"}}},{"category":"Ll","key":"03C9","mappings":{"default":{"default":"greek small letter omega","short":"omega"}}}]
+"de/symbols/latin-lower-double-accent.js": 
+[{"locale":"de"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u mit Diärese und Makron"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u mit Diärese und Akut"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u mit Diärese und Caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u mit Diärese und Grab"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a mit Diärese und Makron"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a mit Dot Above und Makron"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o mit Ogonek und Makron"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a mit Ring oben und akut"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o mit Diärese und Makron"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o mit Tilde und Makron"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o mit Punkt oben und Makron"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"c mit Cedilla und Akut"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"e mit Makron und Grab"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"e mit Makron und Akut"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"e mit Cedilla und Breve"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"i mit Diärese und Akut"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"l mit Punkt unten und Makron"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"o mit Tilde und Akut"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"o mit Tilde und Diärese"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"o mit Makron und Grab"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"o mit Makron und Akut"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"r mit Punkt unten und Makron"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"s mit Akute und Punkt oben"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"s mit Caron und Punkt oben"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"s mit Punkt unten und Punkt oben"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"u mit Tilde und Akut"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"u mit Makron und Diärese"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"a mit Zirkumflex und Akut"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"a mit Zirkumflex und Grab"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"a mit Zirkumflex und Haken oben"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"a mit Zirkumflex und Tilde"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"a mit Zirkumflex und Punkt darunter"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"a mit Breve und Akut"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"a mit Breve und Grab"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"a mit Breve und Haken oben"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"a mit Breve und Tilde"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"a mit Breve und Dot Below"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"e mit Zirkumflex und Akut"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"e mit Zirkumflex und Grab"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"e mit Zirkumflex und Haken oben"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"e mit Zirkumflex und Tilde"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"e mit Zirkumflex und Punkt darunter"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"o mit Zirkumflex und Akut"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"o mit Zirkumflex und Grab"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"o mit Zirkumflex und Haken oben"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"o mit Zirkumflex und Tilde"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"o mit Zirkumflex und Punkt darunter"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"o mit Horn und Akut"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"o mit Horn und Grab"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"o mit Horn und Haken oben"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"o mit Horn und Tilde"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"o mit Horn und Punkt"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"u mit Horn und Akut"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"u mit Horn und Grab"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"u mit Horn und Haken oben"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"u mit Horn und Tilde"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"u mit Horn und Punkt"}}}]
 ,
-"en/greek-symbols.js": 
-[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"greek beta symbol","alternative":"greek small letter curled beta","short":"beta"}},"key":"03D0"},{"category":"Ll","mappings":{"default":{"default":"greek theta symbol","alternative":"greek small letter script theta","short":"theta"}},"key":"03D1"},{"category":"Ll","mappings":{"default":{"default":"greek phi symbol","alternative":"greek small letter script phi","short":"phi"}},"key":"03D5"},{"category":"Ll","mappings":{"default":{"default":"greek pi symbol","alternative":"greek small letter omega pi","short":"pi"}},"key":"03D6"},{"category":"Ll","mappings":{"default":{"default":"greek kai symbol","short":"kai"}},"key":"03D7"},{"category":"Ll","mappings":{"default":{"default":"greek kappa symbol","alternative":"greek small letter script kappa","short":"kappa"}},"key":"03F0"},{"category":"Ll","mappings":{"default":{"default":"greek rho symbol","alternative":"greek small letter tailed rho","short":"rho"}},"key":"03F1"},{"category":"Ll","mappings":{"default":{"default":"greek lunate epsilon symbol","short":"epsilon"}},"key":"03F5"},{"category":"Sm","mappings":{"default":{"default":"greek reversed lunate epsilon symbol","short":"reversed epsilon"}},"key":"03F6"},{"category":"Lu","mappings":{"default":{"default":"greek capital theta symbol","short":"cap theta"},"mathspeak":{"default":"upper Theta"}},"key":"03F4"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital theta symbol","alternative":"bold capital theta","short":"bold cap theta"},"mathspeak":{"default":"bold upper Theta"}},"key":"1D6B9"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital theta symbol","alternative":"italic capital theta","short":"italic cap theta"},"mathspeak":{"default":"italic upper Theta"}},"key":"1D6F3"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital theta symbol","alternative":"sans serif bold capital theta","short":"sans serif bold cap theta"},"mathspeak":{"default":"sans serif bold upper Theta"}},"key":"1D767"},{"category":"Sm","mappings":{"default":{"default":"mathematical bold nabla","alternative":"bold nabla"}},"key":"1D6C1"},{"category":"Sm","mappings":{"default":{"default":"mathematical bold partial differential","alternative":"bold partial differential","short":"bold partial differential"}},"key":"1D6DB"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold epsilon symbol","alternative":"bold epsilon","short":"bold epsilon"}},"key":"1D6DC"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold theta symbol","alternative":"bold theta","short":"bold theta"}},"key":"1D6DD"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold kappa symbol","alternative":"bold kappa","short":"bold kappa"}},"key":"1D6DE"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold phi symbol","alternative":"bold phi","short":"bold phi"}},"key":"1D6DF"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold rho symbol","alternative":"bold rho","short":"bold rho"}},"key":"1D6E0"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold pi symbol","alternative":"bold pi","short":"bold pi"}},"key":"1D6E1"},{"category":"Sm","mappings":{"default":{"default":"mathematical italic nabla","alternative":"italic nabla","short":"italic nabla"}},"key":"1D6FB"},{"category":"Sm","mappings":{"default":{"default":"mathematical italic partial differential","alternative":"italic partial differential","short":"italic partial differential"}},"key":"1D715"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic epsilon symbol","alternative":"italic epsilon","short":"italic epsilon"}},"key":"1D716"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic theta symbol","alternative":"italic theta","short":"italic theta"}},"key":"1D717"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic kappa symbol","alternative":"italic kappa","short":"italic kappa"}},"key":"1D718"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic phi symbol","alternative":"italic phi","short":"italic phi"}},"key":"1D719"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic rho symbol","alternative":"italic rho","short":"italic rho"}},"key":"1D71A"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic pi symbol","alternative":"italic pi","short":"italic pi"}},"key":"1D71B"},{"category":"Sm","mappings":{"default":{"default":"mathematical sans serif bold nabla","alternative":"sans serif bold nabla","short":"sans serif bold nabla"}},"key":"1D76F"},{"category":"Sm","mappings":{"default":{"default":"mathematical sans serif bold partial differential","alternative":"sans serif bold partial differential","short":"sans serif bold partial differential"}},"key":"1D789"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold epsilon symbol","alternative":"sans serif bold epsilon","short":"sans serif bold epsilon"}},"key":"1D78A"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold theta symbol","alternative":"sans serif bold theta","short":"sans serif bold theta"}},"key":"1D78B"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold kappa symbol","alternative":"sans serif bold kappa","short":"sans serif bold kappa"}},"key":"1D78C"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold phi symbol","alternative":"sans serif bold phi","short":"sans serif bold phi"}},"key":"1D78D"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold rho symbol","alternative":"sans serif bold rho","short":"sans serif bold rho"}},"key":"1D78E"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold pi symbol","alternative":"sans serif bold pi","short":"sans serif bold pi"}},"key":"1D78F"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital digamma","alternative":"bold capital digamma","short":"bold cap digamma"},"mathspeak":{"default":"bold upper Digamma"}},"key":"1D7CA"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small digamma","alternative":"bold small digamma","short":"bold digamma"}},"key":"1D7CB"}]
+"de/symbols/latin-lower-phonetic.js": 
+[{"locale":"de"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"o mit Strich"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"d mit Strich"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"h mit Strich"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"l mit Strich"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"t mit Strich"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b mit Strich"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"lambda mit Strich"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z mit Strich"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"umgekehrter Glottalanschlag mit Strich"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g mit Strich"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o mit Strich und Akut"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c mit Strich"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"e mit Strich"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j mit Strich"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"r mit Strich"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y mit Strich"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"punktloses j mit Strich"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i mit Strich"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"punktloses j mit Strich und Haken"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"Glottalanschlag mit Strich"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"umgekehrter Glottalanschlag mit Strich"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"liegendes O mit Strich"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota mit Strich"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p mit Strich"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon mit Strich"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"lang mit diagonalem Anschlag"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"lang S mit hohem Hub"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"wurde Delta gedreht"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"lang mit Punkt oben"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta"}}},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"category":"Ll","key":"017F","mappings":{"default":{"default":"lang S"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b mit Oberleiste"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"ton sechs"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c mit Haken"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d mit Oberleiste"}}},{"key":"0192","mappings":{"default":{"default":"f mit Haken"}},"category":"Ll"},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k mit Haken"}}},{"key":"019A","mappings":{"default":{"default":"l mit Strich"}},"category":"Ll"},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n mit langem rechtem Bein"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o mit Horn"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p mit Haken"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"ton zwei"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"umgedrehte esh Schleife"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t mit palatal Haken"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t mit Haken"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u mit Horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y mit Haken"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"umgekehrtes ezh"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ezh mit Schwanz"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"ton fünf"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz mit Caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae mit Makron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ezh mit Caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lezh"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"ezh mit Kringel"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"dezh Digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"gedreht E"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae mit Akut"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d mit Kringel"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z mit Haken"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l mit Kringel"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n mit Kringel"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t mit Kringel"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"db"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"qp Digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s mit Swash Tail"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z mit Swash Tail"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"Glottalanschlag"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q mit Hakenschwanz"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"gedreht A"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"gedrehtes Alpha"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b mit Haken"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"open O"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c mit Kringel"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d mit Schwanz"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d mit Haken"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"umgedreht E"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"schwa mit Haken"}}},{"key":"025B","mappings":{"default":{"default":"offenes e"}},"category":"Ll"},{"category":"Ll","key":"025C","mappings":{"default":{"default":"umgedrehtes offenes e"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"umgekehrtes offenes e mit Haken"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"umgekehrtes geschlossenes epsilon"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g mit Haken"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"g"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"mini gamma"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"gedrehtes h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h mit Haken"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"h mit Haken"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l mit mittlerer Tilde"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l mit Gurt"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"l mit Retroflexhaken"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"gedreht M"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"gedrehtes M mit langem Bein"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m mit Haken"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n mit linkem Haken"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n mit Retroflexhaken"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"o mit balken"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"geschlossenes omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"gedrehtes r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"gedrehtes r mit langem Bein"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"gedrehtes r mit langem Bein und Haken"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"r mit langem Bein"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"r mit Endstück"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"r mit Angelhaken"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"umgedrehtes R mit Angelhaken"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"s mit Haken"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"squat umgekehrt"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"esh mit Kringel"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"gedreht T"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"t mit Retroflexhaken"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"u Bar"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"v mit Haken"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"gedrehtes v"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"gedrehtes w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"gedrehtes y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"z mit Retroflexhaken"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z mit Kringel"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"pharyngales stimmhaft Frikativ"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"invertierter Glottalanschlag"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"gestrecktes C"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"bilabialer Klick"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"geschlossenes offenes e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"gedrehtes k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q mit Haken"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"dz Digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"dz Digraph mit Kringel"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"ts Digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"tesh Digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"tc Digraph mit Kringel"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"feng Digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"ls Digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"lz Digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"bilabiales Perkussiv"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"bidentales Perkussiv"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"gedrehtes h mit Angelhaken"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"gedrehtes h mit Angelhaken und Schwanz"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"gedrehtes ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"gedrehtes e"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"gedrehtes i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"liegendes O"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"liegendes geöffnet O"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"gedreht Oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"obere Hälfte O"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"untere Hälfte O"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"liegendes U"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"liegendes u Umlaut"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"liegendes m"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"stimmhaft laryngaler Frikativ"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"Ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"b mit mittlerer Tilde"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"d mit mittlerer Tilde"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"f mit mittlerer Tilde"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"m mit mittlerer Tilde"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"n mit mittlerer Tilde"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"p mit mittlerer Tilde"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"r mit mittlerer Tilde"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"r mit Angelhaken und mittlerer Tilde"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"s mit mittlerer Tilde"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"t mit mittlerer Tilde"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z mit mittlerer Tilde"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"gedreht G"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"insular G"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th mit Durchgestrichen"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"b mit Palatalhaken"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"d mit Palatalhaken"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"f mit Palatalhaken"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"g mit Palatalhaken"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"k mit Palatalhaken"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"l mit Palatalhaken"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"m mit Palatalhaken"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"n mit Palatalhaken"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"p mit Palatalhaken"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"r mit Palatalhaken"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"s mit Palatalhaken"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"esh mit Palatalhaken"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"v mit Palatalhaken"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"x mit Palatalhaken"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"z mit Palatalhaken"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a mit Retroflexhaken"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"alpha mit Retroflexhaken"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"d mit Haken und Schwanz"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"e mit Retroflexhaken"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"offenes e mit Retroflexhaken"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"umgedrehtes offenes e mit Retroflexhaken"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"schwa mit Retroflexhaken"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"i mit Retroflexhaken"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"offenes o mit Retroflexhaken"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"esh mit Retroflexhaken"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"u mit Retroflexhaken"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"ezh mit Retroflexhaken"}}},{"key":"0149","mappings":{"default":{"default":"n mit Apostroph davor"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
 ,
-"en/hebrew_letters.js": 
-[{"locale":"en"},{"category":"Lo","mappings":{"default":{"default":"alef symbol","alternative":"first transfinite cardinal","short":"alef"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"bet symbol","alternative":"second transfinite cardinal","short":"bet"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"gimel symbol","alternative":"third transfinite cardinal","short":"gimel"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"dalet symbol","alternative":"fourth transfinite cardinal","short":"dalet"}},"key":"2138"}]
+"de/symbols/latin-lower-single-accent.js": 
+[{"locale":"de"},{"key":"00E0","mappings":{"default":{"default":"a mit Grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a mit Aigu"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a mit Zirkumflex"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a mit Tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a mit Diärese"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a mit Ring darüber"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c mit Cedille"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e mit Grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e mit Aigu"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e mit Zirkumflex"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e mit Diärese"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i mit Grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i mit Aigu"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i mit Zirkumflex"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i mit Diärese"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"n mit Tilde"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o mit Grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o mit Aigu"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o mit Zirkumflex"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o mit Tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o mit Diärese"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u mit Grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u mit Aigu"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u mit Zirkumflex"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u mit Diärese"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"y mit Aigu"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y mit Diärese"}},"category":"Ll"},{"category":"Ll","key":"0101","mappings":{"default":{"default":"a mit Makron"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"a mit Breve"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"a mit Ogonek"}}},{"key":"0107","mappings":{"default":{"default":"c mit Aigu"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c mit Zirkumflex"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"010D","mappings":{"default":{"default":"c mit Caron"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"d mit Caron"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"e mit Makron"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e mit Breve"}}},{"key":"0117","mappings":{"default":{"default":"e mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"0119","mappings":{"default":{"default":"e mit Ogonek"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"e mit Caron"}}},{"key":"011D","mappings":{"default":{"default":"g mit Zirkumflex"}},"category":"Ll"},{"category":"Ll","key":"011F","mappings":{"default":{"default":"g mit Breve"}}},{"key":"0121","mappings":{"default":{"default":"g mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g mit Cedilla"}}},{"key":"0125","mappings":{"default":{"default":"h mit Zirkumflex"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i mit Tilde"}},"category":"Ll"},{"category":"Ll","key":"012B","mappings":{"default":{"default":"i mit Makron"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i mit Breve"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"i mit Ogonek"}}},{"key":"0131","mappings":{"default":{"default":"i ohne punkt"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j mit Zirkumflex"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k mit Cedille"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l mit Aigu"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"013E","mappings":{"default":{"default":"l mit Caron"}}},{"key":"0140","mappings":{"default":{"default":"l mit Punkt in der Mitte"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n mit Aigu"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0148","mappings":{"default":{"default":"n mit Caron"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"o mit Makron"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o mit Breve"}}},{"key":"0151","mappings":{"default":{"default":"o mit doppeltem Aigu"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r mit Aigu"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0159","mappings":{"default":{"default":"r mit Caron"}}},{"key":"015B","mappings":{"default":{"default":"s mit Aigu"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s mit Zirkumflex"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0161","mappings":{"default":{"default":"s mit Caron"}}},{"key":"0163","mappings":{"default":{"default":"t mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0165","mappings":{"default":{"default":"t mit Caron"}}},{"key":"0169","mappings":{"default":{"default":"u mit Tilde"}},"category":"Ll"},{"category":"Ll","key":"016B","mappings":{"default":{"default":"u mit Makron"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"u mit Breve"}}},{"key":"016F","mappings":{"default":{"default":"u mit Ring darüber"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u mit doppeltem Aigu"}},"category":"Ll"},{"category":"Ll","key":"0173","mappings":{"default":{"default":"u mit Ogonek"}}},{"key":"0175","mappings":{"default":{"default":"w mit Zirkumflex"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y mit Zirkumflex"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z mit Aigu"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"017E","mappings":{"default":{"default":"z mit Caron"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a mit Caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i mit Caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o mit Caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u mit Caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g mit Caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k mit Caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o mit Ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j mit Caron"}}},{"key":"01F5","mappings":{"default":{"default":"g mit Aigu"}},"category":"Ll"},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n mit Grab"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a mit Doppelgrab"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a mit umgekehrter Breve"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e mit Doppelgrab"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e mit umgekehrter Breve"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i mit Doppelgrab"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i mit umgekehrter Breve"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o mit Doppelgrab"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o mit umgekehrter Breve"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r mit Doppelgrab"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r mit umgekehrter Breve"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u mit Doppelgrab"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u mit umgekehrter Breve"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s mit untenstehendem Komma"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t mit untenstehendem Komma"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h mit Caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"a mit Punkt oben"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e mit Cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o mit Punkt oben"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y mit Makron"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"dotless J"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"a mit Ring unten"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"b mit Punkt oben"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"b mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"b mit Zeile darunter"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"d mit Punkt oben"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"d mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"d mit Zeile darunter"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"d mit Cedilla"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"d mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"e mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"e mit darunterliegender Tilde"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"f mit Punkt oben"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"g mit Makron"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"h mit Punkt oben"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"h mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"h mit Diärese"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"h mit Cedilla"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"h mit Breve unten"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"i mit darunterliegender Tilde"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"k mit Akut"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"k mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"k mit Zeile darunter"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"l mit Punkt unten"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"l mit Zeile darunter"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"l mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"m mit Akut"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"m mit Punkt oben"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"m mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"n mit Punkt oben"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"n mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"n mit Zeile darunter"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"n mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"p mit Akut"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"p mit Punkt oben"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"r mit Punkt oben"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"r mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"r mit Zeile darunter"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"s mit Punkt oben"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"s mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"t mit Punkt oben"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"t mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"t mit Zeile darunter"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"t mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"u mit untenstehender Diärese"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"u mit darunterliegender Tilde"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"u mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"v mit Tilde"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"v mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"w mit Grab"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"w mit Akut"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"w mit Diärese"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"w mit Punkt oben"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"w mit Punkt unten"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"x mit Punkt oben"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"x mit Diärese"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"y mit Punkt oben"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"z mit Zirkumflex"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"z mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"z mit Zeile darunter"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"h mit Zeile darunter"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"t mit Diärese"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"w mit Ring oben"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"y mit Ring oben"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"a mit rechtem Halbring"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"a mit Punkt unten"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"a mit Haken oben"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"e mit untenstehendem Punkt"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"e mit Haken oben"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"e mit Tilde"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"i mit Haken oben"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"i mit untenstehendem Punkt"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"o mit untenstehendem Punkt"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"o mit Haken oben"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"u mit untenstehendem Punkt"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"u mit Haken oben"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"y mit Grab"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"y mit untenstehendem Punkt"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"y mit Haken oben"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"y mit Tilde"}}}]
 ,
-"en/latin-lower-double-accent.js": 
-[{"locale":"en"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"latin small letter u with diaeresis and macron","alternative":"latin small letter u double overdot overbar","short":"u double overdot overbar"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"latin small letter u with diaeresis and acute","alternative":"latin small letter u double overdot acute","short":"u double overdot acute"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"latin small letter u with diaeresis and caron","alternative":"latin small letter u double overdot hacek","short":"u double overdot caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"latin small letter u with diaeresis and grave","alternative":"latin small letter u double overdot grave","short":"u double overdot grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"latin small letter a with diaeresis and macron","alternative":"latin small letter a double overdot overbar","short":"a double overdot overbar"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"latin small letter a with dot above and macron","alternative":"latin small letter a dot overbar","short":"a overdot overbar"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"latin small letter o with ogonek and macron","alternative":"latin small letter o ogonek overbar","short":"o ogonek overbar"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"latin small letter a with ring above and acute","alternative":"latin small letter a ring above acute","short":"a ring above acute"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"latin small letter o with diaeresis and macron","alternative":"latin small letter o double overdot overbar","short":"o double overdot overbar"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"latin small letter o with tilde and macron","alternative":"latin small letter o tilde overbar","short":"o tilde overbar"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"latin small letter o with dot above and macron","alternative":"latin small letter o overdot overbar","short":"o overdot overbar"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"latin small letter c with cedilla and acute","alternative":"latin small letter c cedilla acute","short":"c cedilla acute"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"latin small letter e with macron and grave","alternative":"latin small letter e overbar grave","short":"e overbar grave"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"latin small letter e with macron and acute","alternative":"latin small letter e overbar acute","short":"e overbar acute"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"latin small letter e with cedilla and breve","alternative":"latin small letter e cedilla breve","short":"e cedilla breve"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"latin small letter i with diaeresis and acute","alternative":"latin small letter i double overdot acute","short":"i double overdot acute"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"latin small letter l with dot below and macron","alternative":"latin small letter l underdot overbar","short":"l underdot overbar"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"latin small letter o with tilde and acute","alternative":"latin small letter o tilde acute","short":"o tilde acute"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"latin small letter o with tilde and diaeresis","alternative":"latin small letter o tilde double overdot","short":"o tilde double overdot"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"latin small letter o with macron and grave","alternative":"latin small letter o overbar grave","short":"o overbar grave"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"latin small letter o with macron and acute","alternative":"latin small letter o overbar acute","short":"o overbar acute"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"latin small letter r with dot below and macron","alternative":"latin small letter r underdot overbar","short":"r underdot overbar"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"latin small letter s with acute and dot above","alternative":"latin small letter s acute overdot","short":"s acute overdot"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"latin small letter s with caron and dot above","alternative":"latin small letter s caron overdot","short":"s caron overdot"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"latin small letter s with dot below and dot above","alternative":"latin small letter s underdot overdot","short":"s underdot overdot"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"latin small letter u with tilde and acute","alternative":"latin small letter u tilde acute","short":"u tilde acute"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"latin small letter u with macron and diaeresis","alternative":"latin small letter u overbar double overdot","short":"u overbar double overdot"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"latin small letter a with circumflex and acute","alternative":"latin small letter a hat acute","short":"a hat acute"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"latin small letter a with circumflex and grave","alternative":"latin small letter a hat grave","short":"a hat grave"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"latin small letter a with circumflex and hook above","alternative":"latin small letter a hat hook above","short":"a hat hook above"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"latin small letter a with circumflex and tilde","alternative":"latin small letter a hat tilde","short":"a hat tilde"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"latin small letter a with circumflex and dot below","alternative":"latin small letter a hat underdot","short":"a hat underdot"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"latin small letter a with breve and acute","alternative":"latin small letter a breve acute","short":"a breve acute"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"latin small letter a with breve and grave","alternative":"latin small letter a breve grave","short":"a breve grave"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"latin small letter a with breve and hook above","alternative":"latin small letter a breve hook above","short":"a breve hook above"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"latin small letter a with breve and tilde","alternative":"latin small letter a breve tilde","short":"a breve tilde"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"latin small letter a with breve and dot below","alternative":"latin small letter a breve underdot","short":"a breve underdot"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"latin small letter e with circumflex and acute","alternative":"latin small letter e hat acute","short":"e hat acute"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"latin small letter e with circumflex and grave","alternative":"latin small letter e hat grave","short":"e hat grave"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"latin small letter e with circumflex and hook above","alternative":"latin small letter e hat hook above","short":"e hat hook above"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"latin small letter e with circumflex and tilde","alternative":"latin small letter e hat tilde","short":"e hat tilde"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"latin small letter e with circumflex and dot below","alternative":"latin small letter e hat underdot","short":"e hat underdot"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"latin small letter o with circumflex and acute","alternative":"latin small letter o hat acute","short":"o hat acute"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"latin small letter o with circumflex and grave","alternative":"latin small letter o hat grave","short":"o hat grave"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"latin small letter o with circumflex and hook above","alternative":"latin small letter o hat hook above","short":"o hat hook above"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"latin small letter o with circumflex and tilde","alternative":"latin small letter o hat tilde","short":"o hat tilde"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"latin small letter o with circumflex and dot below","alternative":"latin small letter o hat underdot","short":"o hat underdot"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"latin small letter o with horn and acute","alternative":"latin small letter o acute prime","short":"o acute prime"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"latin small letter o with horn and grave","alternative":"latin small letter o grave prime","short":"o grave prime"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"latin small letter o with horn and hook above","alternative":"latin small letter o hook above prime","short":"o hook above prime"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"latin small letter o with horn and tilde","alternative":"latin small letter o tilde prime","short":"o tilde prime"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"latin small letter o with horn and dot below","alternative":"latin small letter o underdot prime","short":"o underdot prime"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"latin small letter u with horn and acute","alternative":"latin small letter u acute prime","short":"u acute prime"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"latin small letter u with horn and grave","alternative":"latin small letter u grave prime","short":"u grave prime"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"latin small letter u with horn and hook above","alternative":"latin small letter u hook above prime","short":"u hook above prime"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"latin small letter u with horn and tilde","alternative":"latin small letter u tilde prime","short":"u tilde prime"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"latin small letter u with horn and dot below","alternative":"latin small letter u underdot prime","short":"u underdot prime"}}}]
+"de/symbols/latin-rest.js": 
+[{"locale":"de"},{"category":"Ll","key":"210E","mappings":{"default":{"default":"Planck-Konstante"}}},{"category":"Mn","key":"0363","mappings":{"default":{"default":"kombinierendes a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"kombinierendes e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"kombinierendes i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"kombinierendes o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"kombinierendes u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"kombinierendes c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"kombinierendes d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"kombinierendes h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"kombinierendes m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"kombinierendes r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"kombinierendes t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"kombinierendes v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"kombinierendes x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"tiefgestelltes i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"tiefgestelltes r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"tiefgestelltes u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"tiefgestelltes v"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"tiefgestelltes r"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"kombinierendes oberes w"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"kombinierendes ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"kombinierendes ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"kombinierendes av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"kombinierendes c mit Cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"kombinierendes insulares d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"kombinierendes eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"kombinierendes g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"kombinierendes Kapitälchen g"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"kombinierendes k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"kombinierendes l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"kombinierendes Kapitälchen L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"kombinierendes Kapitälchen M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"kombinierendes n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"kombinierendes Kapitälchen N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"kombinierendes lateinisches Kapitälchen R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"kombinierendes r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"kombinierendes s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"kombinierendes langes s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"kombinierendes z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"hochgestelltes i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"hochgestelltes n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"tiefgestelltes a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"tiefgestelltes e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"tiefgestelltes o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"tiefgestelltes x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"tiefgestelltes schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"tiefgestelltes h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"tiefgestelltes k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"tiefgestelltes l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"tiefgestelltes m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"tiefgestelltes n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"tiefgestelltes p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"tiefgestelltes s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"tiefgestelltes t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"tiefgestelltes j"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"groß S in stumpfen Klammern"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"eingekreistes kursives groß C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"eingekreistes kursives groß R"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"durchgestrichenes P auf schwarzen Quadrat"}}}]
 ,
-"en/latin-lower-normal.js": 
-[{"locale":"en"},{"category":"Ll","key":"0061","mappings":{"default":{"default":"latin small letter a","short":"a"}}},{"category":"Ll","key":"0062","mappings":{"default":{"default":"latin small letter b","short":"b"}}},{"category":"Ll","key":"0063","mappings":{"default":{"default":"latin small letter c","short":"c"}}},{"category":"Ll","key":"0064","mappings":{"default":{"default":"latin small letter d","short":"d"}}},{"category":"Ll","key":"0065","mappings":{"default":{"default":"latin small letter e","short":"e"}}},{"category":"Ll","key":"0066","mappings":{"default":{"default":"latin small letter f","short":"f"}}},{"category":"Ll","key":"0067","mappings":{"default":{"default":"latin small letter g","short":"g"}}},{"category":"Ll","key":"0068","mappings":{"default":{"default":"latin small letter h","short":"h"}}},{"category":"Ll","key":"0069","mappings":{"default":{"default":"latin small letter i","short":"i"}}},{"category":"Ll","key":"006A","mappings":{"default":{"default":"latin small letter j","short":"j"}}},{"category":"Ll","key":"006B","mappings":{"default":{"default":"latin small letter k","short":"k"}}},{"category":"Ll","key":"006C","mappings":{"default":{"default":"latin small letter l","short":"l"}}},{"category":"Ll","key":"006D","mappings":{"default":{"default":"latin small letter m","short":"m"}}},{"category":"Ll","key":"006E","mappings":{"default":{"default":"latin small letter n","short":"n"}}},{"category":"Ll","key":"006F","mappings":{"default":{"default":"latin small letter o","short":"o"}}},{"category":"Ll","key":"0070","mappings":{"default":{"default":"latin small letter p","short":"p"}}},{"category":"Ll","key":"0071","mappings":{"default":{"default":"latin small letter q","short":"q"}}},{"category":"Ll","key":"0072","mappings":{"default":{"default":"latin small letter r","short":"r"}}},{"category":"Ll","key":"0073","mappings":{"default":{"default":"latin small letter s","short":"s"}}},{"category":"Ll","key":"0074","mappings":{"default":{"default":"latin small letter t","short":"t"}}},{"category":"Ll","key":"0075","mappings":{"default":{"default":"latin small letter u","short":"u"}}},{"category":"Ll","key":"0076","mappings":{"default":{"default":"latin small letter v","short":"v"}}},{"category":"Ll","key":"0077","mappings":{"default":{"default":"latin small letter w","short":"w"}}},{"category":"Ll","key":"0078","mappings":{"default":{"default":"latin small letter x","short":"x"}}},{"category":"Ll","key":"0079","mappings":{"default":{"default":"latin small letter y","short":"y"}}},{"category":"Ll","key":"007A","mappings":{"default":{"default":"latin small letter z","short":"z"}}},{"category":"Ll","key":"FF41","mappings":{"default":{"default":"fullwidth latin small letter a","short":"a"}}},{"category":"Ll","key":"FF42","mappings":{"default":{"default":"fullwidth latin small letter b","short":"b"}}},{"category":"Ll","key":"FF43","mappings":{"default":{"default":"fullwidth latin small letter c","short":"c"}}},{"category":"Ll","key":"FF44","mappings":{"default":{"default":"fullwidth latin small letter d","short":"d"}}},{"category":"Ll","key":"FF45","mappings":{"default":{"default":"fullwidth latin small letter e","short":"e"}}},{"category":"Ll","key":"FF46","mappings":{"default":{"default":"fullwidth latin small letter f","short":"f"}}},{"category":"Ll","key":"FF47","mappings":{"default":{"default":"fullwidth latin small letter g","short":"g"}}},{"category":"Ll","key":"FF48","mappings":{"default":{"default":"fullwidth latin small letter h","short":"h"}}},{"category":"Ll","key":"FF49","mappings":{"default":{"default":"fullwidth latin small letter i","short":"i"}}},{"category":"Ll","key":"FF4A","mappings":{"default":{"default":"fullwidth latin small letter j","short":"j"}}},{"category":"Ll","key":"FF4B","mappings":{"default":{"default":"fullwidth latin small letter k","short":"k"}}},{"category":"Ll","key":"FF4C","mappings":{"default":{"default":"fullwidth latin small letter l","short":"l"}}},{"category":"Ll","key":"FF4D","mappings":{"default":{"default":"fullwidth latin small letter m","short":"m"}}},{"category":"Ll","key":"FF4E","mappings":{"default":{"default":"fullwidth latin small letter n","short":"n"}}},{"category":"Ll","key":"FF4F","mappings":{"default":{"default":"fullwidth latin small letter o","short":"o"}}},{"category":"Ll","key":"FF50","mappings":{"default":{"default":"fullwidth latin small letter p","short":"p"}}},{"category":"Ll","key":"FF51","mappings":{"default":{"default":"fullwidth latin small letter q","short":"q"}}},{"category":"Ll","key":"FF52","mappings":{"default":{"default":"fullwidth latin small letter r","short":"r"}}},{"category":"Ll","key":"FF53","mappings":{"default":{"default":"fullwidth latin small letter s","short":"s"}}},{"category":"Ll","key":"FF54","mappings":{"default":{"default":"fullwidth latin small letter t","short":"t"}}},{"category":"Ll","key":"FF55","mappings":{"default":{"default":"fullwidth latin small letter u","short":"u"}}},{"category":"Ll","key":"FF56","mappings":{"default":{"default":"fullwidth latin small letter v","short":"v"}}},{"category":"Ll","key":"FF57","mappings":{"default":{"default":"fullwidth latin small letter w","short":"w"}}},{"category":"Ll","key":"FF58","mappings":{"default":{"default":"fullwidth latin small letter x","short":"x"}}},{"category":"Ll","key":"FF59","mappings":{"default":{"default":"fullwidth latin small letter y","short":"y"}}},{"category":"Ll","key":"FF5A","mappings":{"default":{"default":"fullwidth latin small letter z","short":"z"}}}]
+"de/symbols/latin-upper-double-accent.js": 
+[{"locale":"de"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"groß U mit Diärese und Makron"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"groß U mit Diärese und Akut"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"groß U mit Diärese und Caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"groß U mit Diärese und Grab"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"groß A mit Diärese und Makron"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"groß A mit Dot Above und Makron"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"groß O mit Ogonek und Makron"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"groß A mit Ring oben und akut"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"groß O mit Diärese und Makron"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"groß O mit Tilde und Makron"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"groß O mit Punkt oben und Makron"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"groß C mit Cedilla und Akut"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"groß E mit Makron und Grab"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"groß E mit Makron und Akut"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"groß E mit Cedilla und Breve"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"groß I mit Diärese und Akut"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"groß L mit Dot Below und Makron"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"groß O mit Tilde und Akut"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"groß O mit Tilde und Diärese"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"groß O mit Makron und Grab"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"groß O mit Makron und Akut"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"groß R mit Punkt unten und Makron"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"groß S mit Akute und Punkt oben"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"groß S mit Caron und Punkt oben"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"groß S mit untenstehendem Punkt und oben stehendem Punkt"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"groß U mit Tilde und Akut"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"groß U mit Makron und Diärese"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"groß A mit Zirkumflex und Akut"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"groß A mit Zirkumflex und Grab"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"groß A mit Zirkumflex und Haken oben"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"groß A mit Circumflex und Tilde"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"groß A mit Zirkumflex und Punkt darunter"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"groß A mit Breve und Akut"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"groß A mit Breve und Grab"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"groß A mit Breve und Hook oben"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"groß A mit Breve und Tilde"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"groß A mit Breve und Dot Below"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"groß E mit Zirkumflex und Akut"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"groß E mit Zirkumflex und Grab"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"groß E mit Zirkumflex und Haken oben"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"groß E mit Zirkumflex und Tilde"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"groß E mit Zirkumflex und Punkt darunter"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"groß O mit Circumflex und Akut"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"groß O mit Zirkumflex und Grab"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"groß O mit Zirkumflex und Haken oben"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"groß O mit Zirkumflex und Tilde"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"groß O mit Zirkumflex und Punkt darunter"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"groß O mit Horn und Akut"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"groß O mit Horn und Grab"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"groß O mit Horn und Haken oben"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"groß O mit Horn und Tilde"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"groß O mit Horn und Punkt"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"groß U mit Horn und Akut"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"groß U mit Horn und Grab"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"groß U mit Horn und Haken oben"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"groß U mit Horn und Tilde"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"groß U mit Horn und Punkt"}}}]
 ,
-"en/latin-lower-phonetic.js": 
-[{"locale":"en"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"latin small letter o with stroke","alternative":"latin small letter o slash","short":"o with stroke"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"latin small letter d with stroke","alternative":"latin small letter d bar","short":"d with stroke"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"latin small letter h with stroke","alternative":"latin small letter h bar","short":"h with stroke"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"latin small letter l with stroke","alternative":"latin small letter l slash","short":"l with stroke"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"latin small letter t with stroke","alternative":"latin small letter t bar","short":"t with stroke"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"latin small letter b with stroke","alternative":"latin small letter b bar","short":"b with stroke"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"latin small letter lambda with stroke","alternative":"latin small letter barred lambda","short":"lambda with stroke"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"latin small letter z with stroke","alternative":"latin small letter z bar","short":"z with stroke"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"latin letter inverted glottal stop with stroke","alternative":"latin letter inverted glottal stop bar","short":"latin letter inverted glottal stop with stroke"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"latin small letter g with stroke","alternative":"latin small letter g bar","short":"g with stroke"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"latin small letter o with stroke and acute","short":"o with stroke and acute"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"latin small letter c with stroke","short":"c with stroke"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"latin small letter e with stroke","short":"e with stroke"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"latin small letter j with stroke","short":"j with stroke"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"latin small letter r with stroke","short":"r with stroke"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"latin small letter y with stroke","short":"y with stroke"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"latin small letter dotless j with stroke","alternative":"latin small letter dotless j bar","short":"dotless j with stroke"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"latin small letter i with stroke","alternative":"latin small letter barred i","short":"i with stroke"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"latin small letter dotless j with stroke and hook","alternative":"latin small letter dotless j bar hook","short":"dotless j with stroke and hook"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"latin letter glottal stop with stroke","alternative":"latin letter glottal stop bar","short":"latin letter glottal stop with stroke"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"latin letter reversed glottal stop with stroke","alternative":"latin letter reversed glottal stop bar","short":"latin letter reversed glottal stop with stroke"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"latin small letter sideways o with stroke","short":"sideways o with stroke"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"latin small letter iota with stroke","short":"iota with stroke"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"latin small letter p with stroke","short":"p with stroke"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"latin small letter upsilon with stroke","short":"upsilon with stroke"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"latin small letter long s with diagonal stroke","short":"long s with diagonal stroke"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"latin small letter long s with high stroke","short":"long s with high stroke"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"latin small letter turned delta","short":"turned delta"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"latin small letter long s with dot above","short":"long s with dot above"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"latin small letter delta","short":"delta"}}},{"category":"Ll","key":"0138","mappings":{"default":{"default":"latin small letter kra","short":"kra"}}},{"category":"Ll","key":"017F","mappings":{"default":{"default":"latin small letter long s","short":"long s"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"latin small letter b with topbar","alternative":"latin small letter b topbar","short":"b with topbar"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"latin small letter tone six","short":"tone six"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"latin small letter c with hook","alternative":"latin small letter c hook","short":"c with hook"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"latin small letter d with topbar","alternative":"latin small letter d topbar","short":"d with topbar"}}},{"category":"Ll","key":"0192","mappings":{"default":{"default":"latin small letter f with hook","alternative":"latin small letter script f","short":"f with hook"}}},{"category":"Ll","key":"0195","mappings":{"default":{"default":"latin small letter hv","alternative":"latin small letter h v","short":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"latin small letter k with hook","alternative":"latin small letter k hook","short":"k with hook"}}},{"category":"Ll","key":"019A","mappings":{"default":{"default":"latin small letter l with bar","alternative":"latin small letter barred l","short":"l with bar"}}},{"category":"Ll","key":"019E","mappings":{"default":{"default":"latin small letter n with long right leg","short":"n with long right leg"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"latin small letter o with horn","alternative":"latin small letter o horn","short":"o with horn"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"latin small letter oi","alternative":"latin small letter o i","short":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"latin small letter p with hook","alternative":"latin small letter p hook","short":"p with hook"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"latin small letter tone two","short":"tone two"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"latin letter reversed esh loop","short":"latin letter reversed esh loop"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"latin small letter t with palatal hook","alternative":"latin small letter t palatal hook","short":"t with palatal hook"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"latin small letter t with hook","alternative":"latin small letter t hook","short":"t with hook"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"latin small letter u with horn","alternative":"latin small letter u horn","short":"u with horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"latin small letter y with hook","alternative":"latin small letter y hook","short":"y with hook"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"latin small letter ezh reversed","alternative":"latin small letter reversed yogh","short":"ezh reversed"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"latin small letter ezh with tail","alternative":"latin small letter yogh with tail","short":"ezh with tail"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"latin small letter tone five","short":"tone five"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"latin letter wynn","short":"latin letter wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"latin small letter dz with caron","alternative":"latin small letter d z hacek","short":"dz with caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"latin small letter lj","alternative":"latin small letter l j","short":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"latin small letter nj","alternative":"latin small letter n j","short":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"latin small letter ae with macron","alternative":"latin small letter a e macron","short":"ae with macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"latin small letter ezh with caron","alternative":"latin small letter yogh hacek","short":"ezh with caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"latin small letter dz","short":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"latin small letter yogh","short":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"latin small letter lezh","alternative":"latin small letter l yogh","short":"lezh"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"latin small letter ezh","alternative":"latin small letter yogh","short":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"latin small letter ezh with curl","alternative":"latin small letter yogh curl","short":"ezh with curl"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"latin small letter dezh digraph","alternative":"latin small letter d yogh","short":"dezh digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"latin small letter turned e","short":"turned e"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"latin small letter ae with acute","short":"ae with acute"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"latin small letter yogh","short":"yogh"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"latin small letter d with curl","short":"d with curl"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"latin small letter ou","short":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"latin small letter z with hook","short":"z with hook"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"latin small letter l with curl","short":"l with curl"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"latin small letter n with curl","short":"n with curl"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"latin small letter t with curl","short":"t with curl"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"latin small letter db digraph","short":"db digraph"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"latin small letter qp digraph","short":"qp digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"latin small letter s with swash tail","short":"s with swash tail"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"latin small letter z with swash tail","short":"z with swash tail"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"latin small letter glottal stop","short":"glottal stop"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"latin small letter q with hook tail","short":"q with hook tail"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"latin small letter turned a","short":"turned a"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"latin small letter alpha","alternative":"latin small letter script a","short":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"latin small letter turned alpha","alternative":"latin small letter turned script a","short":"turned alpha"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"latin small letter b with hook","alternative":"latin small letter b hook","short":"b with hook"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"latin small letter open o","short":"open o"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"latin small letter c with curl","alternative":"latin small letter c curl","short":"c with curl"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"latin small letter d with tail","alternative":"latin small letter d retroflex hook","short":"d with tail"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"latin small letter d with hook","alternative":"latin small letter d hook","short":"d with hook"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"latin small letter reversed e","short":"reversed e"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"latin small letter schwa","short":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"latin small letter schwa with hook","alternative":"latin small letter schwa hook","short":"schwa with hook"}}},{"category":"Ll","key":"025B","mappings":{"default":{"default":"latin small letter open e","alternative":"latin small letter epsilon","short":"open e"}}},{"category":"Ll","key":"025C","mappings":{"default":{"default":"latin small letter reversed open e","alternative":"latin small letter reversed epsilon","short":"reversed open e"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"latin small letter reversed open e with hook","alternative":"latin small letter reversed epsilon hook","short":"reversed open e with hook"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"latin small letter closed reversed open e","alternative":"latin small letter closed reversed epsilon","short":"closed reversed open e"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"latin small letter g with hook","alternative":"latin small letter g hook","short":"g with hook"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"latin small letter script g","short":"script g"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"latin small letter gamma","short":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"latin small letter rams horn","alternative":"latin small letter baby gamma","short":"rams horn"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"latin small letter turned h","short":"turned h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"latin small letter h with hook","alternative":"latin small letter h hook","short":"h with hook"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"latin small letter heng with hook","alternative":"latin small letter heng hook","short":"heng with hook"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"latin small letter iota","short":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"latin small letter l with middle tilde","short":"l with middle tilde"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"latin small letter l with belt","alternative":"latin small letter l belt","short":"l with belt"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"latin small letter l with retroflex hook","alternative":"latin small letter l retroflex hook","short":"l with retroflex hook"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"latin small letter lezh","alternative":"latin small letter l yogh","short":"lezh"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"latin small letter turned m","short":"turned m"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"latin small letter turned m with long leg","short":"turned m with long leg"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"latin small letter m with hook","alternative":"latin small letter m hook","short":"m with hook"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"latin small letter n with left hook","alternative":"latin small letter n hook","short":"n with left hook"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"latin small letter n with retroflex hook","alternative":"latin small letter n retroflex hook","short":"n with retroflex hook"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"latin small letter barred o","short":"barred o"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"latin small letter closed omega","short":"closed omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"latin small letter phi","short":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"latin small letter turned r","short":"turned r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"latin small letter turned r with long leg","short":"turned r with long leg"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"latin small letter turned r with hook","alternative":"latin small letter turned r hook","short":"turned r with hook"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"latin small letter r with long leg","short":"r with long leg"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"latin small letter r with tail","alternative":"latin small letter r hook","short":"r with tail"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"latin small letter r with fishhook","alternative":"latin small letter fishhook r","short":"r with fishhook"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"latin small letter reversed r with fishhook","alternative":"latin small letter reversed fishhook r","short":"reversed r with fishhook"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"latin small letter s with hook","alternative":"latin small letter s hook","short":"s with hook"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"latin small letter esh","short":"esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"latin small letter squat reversed esh","short":"squat reversed esh"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"latin small letter esh with curl","alternative":"latin small letter esh curl","short":"esh with curl"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"latin small letter turned t","short":"turned t"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"latin small letter t with retroflex hook","alternative":"latin small letter t retroflex hook","short":"t with retroflex hook"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"latin small letter u bar","short":"u bar"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"latin small letter upsilon","short":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"latin small letter v with hook","alternative":"latin small letter script v","short":"v with hook"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"latin small letter turned v","short":"turned v"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"latin small letter turned w","short":"turned w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"latin small letter turned y","short":"turned y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"latin small letter z with retroflex hook","alternative":"latin small letter z retroflex hook","short":"z with retroflex hook"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"latin small letter z with curl","alternative":"latin small letter z curl","short":"z with curl"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"latin small letter ezh","alternative":"latin small letter yogh","short":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"latin small letter ezh with curl","alternative":"latin small letter yogh curl","short":"ezh with curl"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"latin letter pharyngeal voiced fricative","alternative":"latin letter reversed glottal stop","short":"latin letter pharyngeal voiced fricative"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"latin letter inverted glottal stop","short":"latin letter inverted glottal stop"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"latin letter stretched c","short":"latin letter stretched c"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"latin letter bilabial click","alternative":"latin letter bullseye","short":"latin letter bilabial click"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"latin small letter closed open e","alternative":"latin small letter closed epsilon","short":"closed open e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"latin small letter turned k","short":"turned k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"latin small letter q with hook","alternative":"latin small letter q hook","short":"q with hook"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"latin small letter dz digraph","alternative":"latin small letter d z","short":"dz digraph"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"latin small letter dezh digraph","alternative":"latin small letter d yogh","short":"dezh digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"latin small letter dz digraph with curl","alternative":"latin small letter d z curl","short":"dz digraph with curl"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"latin small letter ts digraph","alternative":"latin small letter t s","short":"ts digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"latin small letter tesh digraph","alternative":"latin small letter t esh","short":"tesh digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"latin small letter tc digraph with curl","alternative":"latin small letter t c curl","short":"tc digraph with curl"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"latin small letter feng digraph","short":"feng digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"latin small letter ls digraph","short":"ls digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"latin small letter lz digraph","short":"lz digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"latin letter bilabial percussive","short":"latin letter bilabial percussive"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"latin letter bidental percussive","short":"latin letter bidental percussive"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"latin small letter turned h with fishhook","short":"turned h with fishhook"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"latin small letter turned h with fishhook and tail","short":"turned h with fishhook and tail"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"latin small letter turned ae","short":"turned ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"latin small letter turned open e","short":"turned open e"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"latin small letter turned i","short":"turned i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"latin small letter sideways o","short":"sideways o"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"latin small letter sideways open o","short":"sideways open o"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"latin small letter turned oe","short":"turned oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"latin small letter top half o","short":"top half o"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"latin small letter bottom half o","short":"bottom half o"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"latin small letter sideways u","short":"sideways u"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"latin small letter sideways diaeresized u","short":"sideways diaeresized u"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"latin small letter sideways turned m","short":"sideways turned m"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"latin letter voiced laryngeal spirant","short":"latin letter voiced laryngeal spirant"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"latin letter ain","short":"latin letter ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"latin small letter ue","short":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"latin small letter b with middle tilde","short":"b with middle tilde"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"latin small letter d with middle tilde","short":"d with middle tilde"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"latin small letter f with middle tilde","short":"f with middle tilde"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"latin small letter m with middle tilde","short":"m with middle tilde"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"latin small letter n with middle tilde","short":"n with middle tilde"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"latin small letter p with middle tilde","short":"p with middle tilde"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"latin small letter r with middle tilde","short":"r with middle tilde"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"latin small letter r with fishhook and middle tilde","short":"r with fishhook and middle tilde"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"latin small letter s with middle tilde","short":"s with middle tilde"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"latin small letter t with middle tilde","short":"t with middle tilde"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"latin small letter z with middle tilde","short":"z with middle tilde"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"latin small letter turned g","short":"turned g"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"latin small letter insular g","short":"insular g"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"latin small letter th with strikethrough","short":"th with strikethrough"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"latin small letter b with palatal hook","short":"b with palatal hook"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"latin small letter d with palatal hook","short":"d with palatal hook"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"latin small letter f with palatal hook","short":"f with palatal hook"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"latin small letter g with palatal hook","short":"g with palatal hook"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"latin small letter k with palatal hook","short":"k with palatal hook"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"latin small letter l with palatal hook","short":"l with palatal hook"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"latin small letter m with palatal hook","short":"m with palatal hook"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"latin small letter n with palatal hook","short":"n with palatal hook"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"latin small letter p with palatal hook","short":"p with palatal hook"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"latin small letter r with palatal hook","short":"r with palatal hook"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"latin small letter s with palatal hook","short":"s with palatal hook"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"latin small letter esh with palatal hook","short":"esh with palatal hook"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"latin small letter v with palatal hook","short":"v with palatal hook"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"latin small letter x with palatal hook","short":"x with palatal hook"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"latin small letter z with palatal hook","short":"z with palatal hook"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"latin small letter a with retroflex hook","short":"a with retroflex hook"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"latin small letter alpha with retroflex hook","short":"alpha with retroflex hook"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"latin small letter d with hook and tail","short":"d with hook and tail"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"latin small letter e with retroflex hook","short":"e with retroflex hook"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"latin small letter open e with retroflex hook","short":"open e with retroflex hook"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"latin small letter reversed open e with retroflex hook","short":"reversed open e with retroflex hook"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"latin small letter schwa with retroflex hook","short":"schwa with retroflex hook"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"latin small letter i with retroflex hook","short":"i with retroflex hook"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"latin small letter open o with retroflex hook","short":"open o with retroflex hook"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"latin small letter esh with retroflex hook","short":"esh with retroflex hook"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"latin small letter u with retroflex hook","short":"u with retroflex hook"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"latin small letter ezh with retroflex hook","short":"ezh with retroflex hook"}}},{"category":"Ll","key":"0149","mappings":{"default":{"default":"latin small letter n preceded by apostrophe","alternative":"latin small letter apostrophe n","short":"n preceded by apostrophe"}}},{"category":"Ll","key":"014B","mappings":{"default":{"default":"latin small letter eng","short":"eng"}}}]
+"de/symbols/latin-upper-single-accent.js": 
+[{"locale":"de"},{"key":"00C0","mappings":{"default":{"default":"groß A mit Gravis"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"groß A mit Aigu"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"groß A mit Zirkumflex"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"groß A mit Tilde"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"groß A mit Diärese"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"groß A mit Ring darüber"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"groß C mit Cedille"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"groß E mit Gravis"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"groß E mit Aigu"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"groß E mit Zirkumflex"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"groß E mit Diärese"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"groß I mit Gravis"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"groß I mit Aigu"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"groß I mit Zirkumflex"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"groß I mit Diärese"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"großes n mit Tilde"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"großes o mit Gravis"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"groß O mit Aigu"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"groß O mit Zirkumflex"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"groß O mit Tilde"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"groß O mit Diärese"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"groß U mit Gravis"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"groß U mit Aigu"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"groß U mit Zirkumflex"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"groß U mit Diärese"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"groß Y mit Aigu"}},"category":"Lu"},{"category":"Lu","key":"0100","mappings":{"default":{"default":"groß A mit Makron"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"groß A mit Breve"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"groß A mit Ogonek"}}},{"key":"0106","mappings":{"default":{"default":"groß C mit Aigu"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"groß C mit Zirkumflex"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"groß C mit Punkt darüber"}},"category":"Lu"},{"category":"Lu","key":"010C","mappings":{"default":{"default":"groß C mit Caron"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"groß D mit Caron"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"groß E mit Makron"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"groß E mit Breve"}}},{"key":"0116","mappings":{"default":{"default":"groß E mit Punkt darüber"}},"category":"Lu"},{"category":"Lu","key":"0118","mappings":{"default":{"default":"groß E mit Ogonek"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"groß E mit Caron"}}},{"key":"011C","mappings":{"default":{"default":"groß G mit Zirkumflex"}},"category":"Lu"},{"category":"Lu","key":"011E","mappings":{"default":{"default":"groß G mit Breve"}}},{"key":"0120","mappings":{"default":{"default":"groß G mit Punkt darüber"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"groß G mit Cedille"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"groß H mit Zirkumflex"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"groß I mit Tilde"}},"category":"Lu"},{"category":"Lu","key":"012A","mappings":{"default":{"default":"groß I mit Makron"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"groß I mit Breve"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"groß I mit Ogonek"}}},{"key":"0130","mappings":{"default":{"default":"groß I mit Punkt darüber"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"groß J mit Zirkumflex"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"groß K mit Cedille"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"groß L mit Aigu"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"groß L mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"013D","mappings":{"default":{"default":"groß L mit Caron"}}},{"key":"013F","mappings":{"default":{"default":"groß L mit Punkt in der Mitte"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"groß N mit Aigu"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"groß N mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0147","mappings":{"default":{"default":"groß N mit Caron"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"groß O mit Makron"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"groß O mit Breve"}}},{"key":"0150","mappings":{"default":{"default":"groß O mit doppeltem Aigu"}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"groß R mit Aigu"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"groß R mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0158","mappings":{"default":{"default":"groß R mit Caron"}}},{"key":"015A","mappings":{"default":{"default":"groß S mit Aigu"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"groß S mit Zirkumflex"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"groß S mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0160","mappings":{"default":{"default":"groß S mit Caron"}}},{"key":"0162","mappings":{"default":{"default":"groß T mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0164","mappings":{"default":{"default":"groß T mit Caron"}}},{"key":"0168","mappings":{"default":{"default":"groß U mit Tilde"}},"category":"Lu"},{"category":"Lu","key":"016A","mappings":{"default":{"default":"groß U mit Makron"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"groß U mit Breve"}}},{"key":"016E","mappings":{"default":{"default":"groß U mit Ring darüber"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"groß U mit dopppeltem Aigu"}},"category":"Lu"},{"category":"Lu","key":"0172","mappings":{"default":{"default":"groß U mit Ogonek"}}},{"key":"0174","mappings":{"default":{"default":"groß W mit Zirkumflex"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"groß Y mit Zirkumflex"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"groß Y mit Diärese"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"groß Z mit Aigu"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"groß Z mit Punkt darüber"}},"category":"Lu"},{"category":"Lu","key":"017D","mappings":{"default":{"default":"groß Z mit Caron"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"groß A mit Caron"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"groß I mit Caron"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"groß O mit Caron"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"groß U mit Caron"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"groß G mit Caron"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"groß K mit Caron"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"groß O mit Ogonek"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"groß G mit Akut"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"groß N mit Gravis"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"groß A mit Doppelgravis"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"groß A mit umgekehrter Breve"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"groß E mit Doppelgravis"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"groß E mit umgekehrter Breve"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"groß I mit Doppelgravis"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"groß I mit umgekehrter Breve"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"groß O mit Doppelgravis"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"groß O mit umgekehrter Breve"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"groß R mit Doppelgravis"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"groß R mit umgekehrter Breve"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"groß U mit Doppelgravis"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"groß U mit umgekehrter Breve"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"groß S mit untenstehendem Komma"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"groß T mit untenstehendem Komma"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"groß H mit Caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"groß A mit Punkt oben"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"groß E mit Cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"groß O mit Punkt oben"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"groß Y mit Makron"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"groß A mit Ring unten"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"groß B mit Punkt oben"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"groß B mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"groß B mit Zeile darunter"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"groß D mit Punkt oben"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"groß D mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"groß D mit Zeile darunter"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"groß D mit Cedilla"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"groß D mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"groß E mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"groß E mit darunterliegender Tilde"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"groß F mit Punkt oben"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"groß G mit Makron"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"groß H mit Punkt oben"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"groß H mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"groß H mit Diärese"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"groß H mit Cedilla"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"groß H mit Breve unten"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"groß I mit unten stehender Tilde"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"groß K mit Akut"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"groß K mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"groß K mit Zeile"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"groß L mit Punkt unten"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"groß L mit Zeile darunter"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"groß L mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"groß M mit Akut"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"groß M mit Punkt oben"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"groß M mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"groß N mit Punkt oben"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"groß N mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"groß N mit Zeile darunter"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"groß N mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"groß P mit Akut"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"groß P mit Punkt oben"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"groß R mit Punkt oben"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"groß R mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"groß R mit Zeile darunter"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"groß S mit Punkt oben"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"groß S mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"groß T mit Punkt oben"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"groß T mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"groß T mit Zeile darunter"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"groß T mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"groß U mit untenstehender Diärese"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"groß U mit darunterliegender Tilde"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"groß U mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"groß V mit Tilde"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"groß V mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"groß W mit Gravis"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"groß W mit Akut"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"groß W mit Diärese"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"groß W mit Punkt oben"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"groß W mit Punkt unten"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"groß X mit Punkt oben"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"groß X mit Diärese"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"groß Y mit Punkt oben"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"groß Z mit Zirkumflex"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"groß Z mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"groß Z mit Zeile darunter"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"groß A mit Punkt unten"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"groß A mit Haken oben"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"groß E mit untenstehendem Punkt"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"groß E mit Haken oben"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"groß E mit Tilde"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"groß I mit Haken oben"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"groß I mit untenstehendem Punkt"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"groß O mit untenstehendem Punkt"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"groß O mit Haken oben"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"groß U mit untenstehendem Punkt"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"groß U mit Haken oben"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"groß Y mit Gravis"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"groß Y mit untenstehendem Punkt"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"groß Y mit Haken oben"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"groß Y mit Tilde"}}}]
 ,
-"en/latin-lower-single-accent.js": 
-[{"locale":"en"},{"category":"Ll","key":"00E0","mappings":{"default":{"default":"latin small letter a with grave","alternative":"latin small letter a grave","short":"a grave"},"mathspeak":{"default":"modifying above a with grave","brief":"mod above a with grave","sbrief":"mod above a with grave"}}},{"category":"Ll","key":"00E1","mappings":{"default":{"default":"latin small letter a with acute","alternative":"latin small letter a acute","short":"a acute"},"mathspeak":{"default":"modifying above a with acute","brief":"mod above a with acute","sbrief":"mod above a with acute"}}},{"category":"Ll","key":"00E2","mappings":{"default":{"default":"latin small letter a with circumflex","alternative":"latin small letter a hat","short":"a hat"},"mathspeak":{"default":"modifying above a with caret","brief":"mod above a with caret","sbrief":"mod above a with caret"}}},{"category":"Ll","key":"00E3","mappings":{"default":{"default":"latin small letter a with tilde","alternative":"latin small letter a tilde","short":"a tilde"},"mathspeak":{"default":"a overtilde","brief":"a overtilde","sbrief":"a overtilde"}}},{"category":"Ll","key":"00E4","mappings":{"default":{"default":"latin small letter a with diaeresis","alternative":"latin small letter a double overdot","short":"a double overdot"},"mathspeak":{"default":"modifying above a with double dot","brief":"mod above a with double dot","sbrief":"mod above a with double dot"}}},{"category":"Ll","key":"00E5","mappings":{"default":{"default":"latin small letter a with ring above","alternative":"latin small letter a ring","short":"a ring"},"mathspeak":{"default":"modifying above a with ring","brief":"mod above a with ring","sbrief":"mod above a with ring"}}},{"category":"Ll","key":"00E7","mappings":{"default":{"default":"latin small letter c with cedilla","alternative":"latin small letter c cedilla","short":"c cedilla"},"mathspeak":{"default":"modifying above c with cedilla","brief":"mod above c with cedilla","sbrief":"mod above c with cedilla"}}},{"category":"Ll","key":"00E8","mappings":{"default":{"default":"latin small letter e with grave","alternative":"latin small letter e grave","short":"e grave"},"mathspeak":{"default":"modifying above e with grave","brief":"mod above e with grave","sbrief":"mod above e with grave"}}},{"category":"Ll","key":"00E9","mappings":{"default":{"default":"latin small letter e with acute","alternative":"latin small letter e acute","short":"e acute"},"mathspeak":{"default":"modifying above e with acute","brief":"mod above e with acute","sbrief":"mod above e with acute"}}},{"category":"Ll","key":"00EA","mappings":{"default":{"default":"latin small letter e with circumflex","alternative":"latin small letter e hat","short":"e hat"},"mathspeak":{"default":"modifying above e with caret","brief":"mod above e with caret","sbrief":"mod above e with caret"}}},{"category":"Ll","key":"00EB","mappings":{"default":{"default":"latin small letter e with diaeresis","alternative":"latin small letter e double overdot","short":"e double overdot"},"mathspeak":{"default":"modifying above e with double dot","brief":"mod above e with double dot","sbrief":"mod above e with double dot"}}},{"category":"Ll","key":"00EC","mappings":{"default":{"default":"latin small letter i with grave","alternative":"latin small letter i grave","short":"i grave"},"mathspeak":{"default":"modifying above i with grave","brief":"mod above i with grave","sbrief":"mod above i with grave"}}},{"category":"Ll","key":"00ED","mappings":{"default":{"default":"latin small letter i with acute","alternative":"latin small letter i acute","short":"i acute"},"mathspeak":{"default":"modifying above i with acute","brief":"mod above i with acute","sbrief":"mod above i with acute"}}},{"category":"Ll","key":"00EE","mappings":{"default":{"default":"latin small letter i with circumflex","alternative":"latin small letter i hat","short":"i hat"},"mathspeak":{"default":"modifying above i with caret","brief":"mod above i with caret","sbrief":"mod above i with caret"}}},{"category":"Ll","key":"00EF","mappings":{"default":{"default":"latin small letter i with diaeresis","alternative":"latin small letter i double overdot","short":"i double overdot"},"mathspeak":{"default":"modifying above i with double dot","brief":"mod above i with double dot","sbrief":"mod above i with double dot"}}},{"category":"Ll","key":"00F1","mappings":{"default":{"default":"latin small letter n with tilde","alternative":"latin small letter n tilde","short":"n tilde"},"mathspeak":{"default":"n overtilde","brief":"n overtilde","sbrief":"n overtilde"}}},{"category":"Ll","key":"00F2","mappings":{"default":{"default":"latin small letter o with grave","alternative":"latin small letter o grave","short":"o grave"},"mathspeak":{"default":"modifying above o with grave","brief":"mod above o with grave","sbrief":"mod above o with grave"}}},{"category":"Ll","key":"00F3","mappings":{"default":{"default":"latin small letter o with acute","alternative":"latin small letter o acute","short":"o acute"},"mathspeak":{"default":"modifying above o with acute","brief":"mod above o with acute","sbrief":"mod above o with acute"}}},{"category":"Ll","key":"00F4","mappings":{"default":{"default":"latin small letter o with circumflex","alternative":"latin small letter o hat","short":"o hat"},"mathspeak":{"default":"modifying above o with caret","brief":"mod above o with caret","sbrief":"mod above o with caret"}}},{"category":"Ll","key":"00F5","mappings":{"default":{"default":"latin small letter o with tilde","alternative":"latin small letter o tilde","short":"o tilde"},"mathspeak":{"default":"o overtilde","brief":"o overtilde","sbrief":"o overtilde"}}},{"category":"Ll","key":"00F6","mappings":{"default":{"default":"latin small letter o with diaeresis","alternative":"latin small letter o double overdot","short":"o double overdot"},"mathspeak":{"default":"modifying above o with double dot","brief":"mod above o with double dot","sbrief":"mod above o with double dot"}}},{"category":"Ll","key":"00F9","mappings":{"default":{"default":"latin small letter u with grave","alternative":"latin small letter u grave","short":"u grave"},"mathspeak":{"default":"modifying above u with grave","brief":"mod above u with grave","sbrief":"mod above u with grave"}}},{"category":"Ll","key":"00FA","mappings":{"default":{"default":"latin small letter u with acute","alternative":"latin small letter u acute","short":"u acute"},"mathspeak":{"default":"modifying above u with acute","brief":"mod above u with acute","sbrief":"mod above u with acute"}}},{"category":"Ll","key":"00FB","mappings":{"default":{"default":"latin small letter u with circumflex","alternative":"latin small letter u hat","short":"u hat"},"mathspeak":{"default":"modifying above u with caret","brief":"mod above u with caret","sbrief":"mod above u with caret"}}},{"category":"Ll","key":"00FC","mappings":{"default":{"default":"latin small letter u with diaeresis","alternative":"latin small letter u double overdot","short":"u double overdot"},"mathspeak":{"default":"modifying above u with double dot","brief":"mod above u with double dot","sbrief":"mod above u with double dot"}}},{"category":"Ll","key":"00FD","mappings":{"default":{"default":"latin small letter y with acute","alternative":"latin small letter y acute","short":"y acute"},"mathspeak":{"default":"modifying above y with acute","brief":"mod above y with acute","sbrief":"mod above y with acute"}}},{"category":"Ll","key":"00FF","mappings":{"default":{"default":"latin small letter y with diaeresis","alternative":"latin small letter y double overdot","short":"y double overdot"},"mathspeak":{"default":"modifying above y with double dot","brief":"mod above y with double dot","sbrief":"mod above y with double dot"}}},{"category":"Ll","key":"0101","mappings":{"default":{"default":"latin small letter a with macron","alternative":"latin small letter a overbar","short":"a overbar"},"mathspeak":{"default":"a overbar","brief":"a overbar","sbrief":"a overbar"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"latin small letter a with breve","alternative":"latin small letter a breve","short":"a breve"},"mathspeak":{"default":"modifying above a with breve","brief":"mod above a with breve","sbrief":"mod above a with breve"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"latin small letter a with ogonek","alternative":"latin small letter a ogonek","short":"a ogonek"},"mathspeak":{"default":"modifying above a with ogonek","brief":"mod above a with ogonek","sbrief":"mod above a with ogonek"}}},{"category":"Ll","key":"0107","mappings":{"default":{"default":"latin small letter c with acute","alternative":"latin small letter c acute","short":"c acute"},"mathspeak":{"default":"modifying above c with acute","brief":"mod above c with acute","sbrief":"mod above c with acute"}}},{"category":"Ll","key":"0109","mappings":{"default":{"default":"latin small letter c with circumflex","alternative":"latin small letter c hat","short":"c hat"},"mathspeak":{"default":"modifying above c with caret","brief":"mod above c with caret","sbrief":"mod above c with caret"}}},{"category":"Ll","key":"010B","mappings":{"default":{"default":"latin small letter c with dot above","alternative":"latin small letter c dot","short":"c overdot"},"mathspeak":{"default":"modifying above c with dot","brief":"mod above c with dot","sbrief":"mod above c with dot"}}},{"category":"Ll","key":"010D","mappings":{"default":{"default":"latin small letter c with caron","alternative":"latin small letter c hacek","short":"c caron"},"mathspeak":{"default":"modifying above c with caron","brief":"mod above c with caron","sbrief":"mod above c with caron"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"latin small letter d with caron","alternative":"latin small letter d hacek","short":"d caron"},"mathspeak":{"default":"modifying above d with caron","brief":"mod above d with caron","sbrief":"mod above d with caron"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"latin small letter e with macron","alternative":"latin small letter e overbar","short":"e overbar"},"mathspeak":{"default":"e overbar","brief":"e overbar","sbrief":"e overbar"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"latin small letter e with breve","alternative":"latin small letter e breve","short":"e breve"},"mathspeak":{"default":"modifying above e with breve","brief":"mod above e with breve","sbrief":"mod above e with breve"}}},{"category":"Ll","key":"0117","mappings":{"default":{"default":"latin small letter e with dot above","alternative":"latin small letter e dot","short":"e overdot"},"mathspeak":{"default":"modifying above e with dot","brief":"mod above e with dot","sbrief":"mod above e with dot"}}},{"category":"Ll","key":"0119","mappings":{"default":{"default":"latin small letter e with ogonek","alternative":"latin small letter e ogonek","short":"e ogonek"},"mathspeak":{"default":"modifying above e with ogonek","brief":"mod above e with ogonek","sbrief":"mod above e with ogonek"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"latin small letter e with caron","alternative":"latin small letter e hacek","short":"e caron"},"mathspeak":{"default":"modifying above e with caron","brief":"mod above e with caron","sbrief":"mod above e with caron"}}},{"category":"Ll","key":"011D","mappings":{"default":{"default":"latin small letter g with circumflex","alternative":"latin small letter g hat","short":"g hat"},"mathspeak":{"default":"modifying above g with caret","brief":"mod above g with caret","sbrief":"mod above g with caret"}}},{"category":"Ll","key":"011F","mappings":{"default":{"default":"latin small letter g with breve","alternative":"latin small letter g breve","short":"g breve"},"mathspeak":{"default":"modifying above g with breve","brief":"mod above g with breve","sbrief":"mod above g with breve"}}},{"category":"Ll","key":"0121","mappings":{"default":{"default":"latin small letter g with dot above","alternative":"latin small letter g dot","short":"g overdot"},"mathspeak":{"default":"modifying above g with dot","brief":"mod above g with dot","sbrief":"mod above g with dot"}}},{"category":"Ll","key":"0123","mappings":{"default":{"default":"latin small letter g with cedilla","alternative":"latin small letter g cedilla","short":"g cedilla"},"mathspeak":{"default":"modifying above g with cedilla","brief":"mod above g with cedilla","sbrief":"mod above g with cedilla"}}},{"category":"Ll","key":"0125","mappings":{"default":{"default":"latin small letter h with circumflex","alternative":"latin small letter h hat","short":"h hat"},"mathspeak":{"default":"modifying above h with caret","brief":"mod above h with caret","sbrief":"mod above h with caret"}}},{"category":"Ll","key":"0129","mappings":{"default":{"default":"latin small letter i with tilde","alternative":"latin small letter i tilde","short":"i tilde"},"mathspeak":{"default":"i overtilde","brief":"i overtilde","sbrief":"i overtilde"}}},{"category":"Ll","key":"012B","mappings":{"default":{"default":"latin small letter i with macron","alternative":"latin small letter i overbar","short":"i overbar"},"mathspeak":{"default":"i overbar","brief":"i overbar","sbrief":"i overbar"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"latin small letter i with breve","alternative":"latin small letter i breve","short":"i breve"},"mathspeak":{"default":"modifying above i with breve","brief":"mod above i with breve","sbrief":"mod above i with breve"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"latin small letter i with ogonek","alternative":"latin small letter i ogonek","short":"i ogonek"},"mathspeak":{"default":"modifying above i with ogonek","brief":"mod above i with ogonek","sbrief":"mod above i with ogonek"}}},{"category":"Ll","key":"0131","mappings":{"default":{"default":"latin small letter dotless i","alternative":"latin small letter dotless i","short":"dotless i"},"mathspeak":{"default":"modifying above d with tless i","brief":"mod above d with tless i","sbrief":"mod above d with tless i"}}},{"category":"Ll","key":"0135","mappings":{"default":{"default":"latin small letter j circumflex","alternative":"latin small letter j hat","short":"j hat"},"mathspeak":{"default":"modifying above j with caret","brief":"mod above j with caret","sbrief":"mod above j with caret"}}},{"category":"Ll","key":"0137","mappings":{"default":{"default":"latin small letter k with cedilla","alternative":"latin small letter k cedilla","short":"k cedilla"},"mathspeak":{"default":"modifying above k with cedilla","brief":"mod above k with cedilla","sbrief":"mod above k with cedilla"}}},{"category":"Ll","key":"013A","mappings":{"default":{"default":"latin small letter l with acute","alternative":"latin small letter l acute","short":"l acute"},"mathspeak":{"default":"modifying above l with acute","brief":"mod above l with acute","sbrief":"mod above l with acute"}}},{"category":"Ll","key":"013C","mappings":{"default":{"default":"latin small letter l with cedilla","alternative":"latin small letter l cedilla","short":"l cedilla"},"mathspeak":{"default":"modifying above l with cedilla","brief":"mod above l with cedilla","sbrief":"mod above l with cedilla"}}},{"category":"Ll","key":"013E","mappings":{"default":{"default":"latin small letter l with caron","alternative":"latin small letter l hacek","short":"l caron"},"mathspeak":{"default":"modifying above l with caron","brief":"mod above l with caron","sbrief":"mod above l with caron"}}},{"category":"Ll","key":"0140","mappings":{"default":{"default":"latin small letter l with middle dot","alternative":"latin small letter l middle dot","short":"l middle dot"},"mathspeak":{"default":"modifying above l with middle dot","brief":"mod above l with middle dot","sbrief":"mod above l with middle dot"}}},{"category":"Ll","key":"0144","mappings":{"default":{"default":"latin small letter n with acute","alternative":"latin small letter n acute","short":"n acute"},"mathspeak":{"default":"modifying above n with acute","brief":"mod above n with acute","sbrief":"mod above n with acute"}}},{"category":"Ll","key":"0146","mappings":{"default":{"default":"latin small letter n with cedilla","alternative":"latin small letter n cedilla","short":"n cedilla"},"mathspeak":{"default":"modifying above n with cedilla","brief":"mod above n with cedilla","sbrief":"mod above n with cedilla"}}},{"category":"Ll","key":"0148","mappings":{"default":{"default":"latin small letter n with caron","alternative":"latin small letter n hacek","short":"n caron"},"mathspeak":{"default":"modifying above n with caron","brief":"mod above n with caron","sbrief":"mod above n with caron"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"latin small letter o macron","alternative":"latin small letter o overbar","short":"o overbar"},"mathspeak":{"default":"o overbar","brief":"o overbar","sbrief":"o overbar"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"latin small letter o with breve","alternative":"latin small letter o breve","short":"o breve"},"mathspeak":{"default":"modifying above o with breve","brief":"mod above o with breve","sbrief":"mod above o with breve"}}},{"category":"Ll","key":"0151","mappings":{"default":{"default":"latin small letter o with double acute","alternative":"latin small letter o double acute","short":"o double acute"},"mathspeak":{"default":"modifying above o with double acute","brief":"mod above o with double acute","sbrief":"mod above o with double acute"}}},{"category":"Ll","key":"0155","mappings":{"default":{"default":"latin small letter r with acute","alternative":"latin small letter r acute","short":"r acute"},"mathspeak":{"default":"modifying above r with acute","brief":"mod above r with acute","sbrief":"mod above r with acute"}}},{"category":"Ll","key":"0157","mappings":{"default":{"default":"latin small letter r with cedilla","alternative":"latin small letter r cedilla","short":"r cedilla"},"mathspeak":{"default":"modifying above r with cedilla","brief":"mod above r with cedilla","sbrief":"mod above r with cedilla"}}},{"category":"Ll","key":"0159","mappings":{"default":{"default":"latin small letter r with caron","alternative":"latin small letter r hacek","short":"r caron"},"mathspeak":{"default":"modifying above r with caron","brief":"mod above r with caron","sbrief":"mod above r with caron"}}},{"category":"Ll","key":"015B","mappings":{"default":{"default":"latin small letter s with acute","alternative":"latin small letter s acute","short":"s acute"},"mathspeak":{"default":"modifying above s with acute","brief":"mod above s with acute","sbrief":"mod above s with acute"}}},{"category":"Ll","key":"015D","mappings":{"default":{"default":"latin small letter s with circumflex","alternative":"latin small letter s hat","short":"s hat"},"mathspeak":{"default":"modifying above s with caret","brief":"mod above s with caret","sbrief":"mod above s with caret"}}},{"category":"Ll","key":"015F","mappings":{"default":{"default":"latin small letter s with cedilla","alternative":"latin small letter s cedilla","short":"s cedilla"},"mathspeak":{"default":"modifying above s with cedilla","brief":"mod above s with cedilla","sbrief":"mod above s with cedilla"}}},{"category":"Ll","key":"0161","mappings":{"default":{"default":"latin small letter s with caron","alternative":"latin small letter s hacek","short":"s caron"},"mathspeak":{"default":"modifying above s with caron","brief":"mod above s with caron","sbrief":"mod above s with caron"}}},{"category":"Ll","key":"0163","mappings":{"default":{"default":"latin small letter t with cedilla","alternative":"latin small letter t cedilla","short":"t cedilla"},"mathspeak":{"default":"modifying above t with cedilla","brief":"mod above t with cedilla","sbrief":"mod above t with cedilla"}}},{"category":"Ll","key":"0165","mappings":{"default":{"default":"latin small letter t with caron","alternative":"latin small letter t hacek","short":"t caron"},"mathspeak":{"default":"modifying above t with caron","brief":"mod above t with caron","sbrief":"mod above t with caron"}}},{"category":"Ll","key":"0169","mappings":{"default":{"default":"latin small letter u with tilde","alternative":"latin small letter u tilde","short":"u tilde"},"mathspeak":{"default":"u overtilde","brief":"u overtilde","sbrief":"u overtilde"}}},{"category":"Ll","key":"016B","mappings":{"default":{"default":"latin small letter u with macron","alternative":"latin small letter u overbar","short":"u overbar"},"mathspeak":{"default":"u overbar","brief":"u overbar","sbrief":"u overbar"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"latin small letter u with breve","alternative":"latin small letter u breve","short":"u breve"},"mathspeak":{"default":"modifying above u with breve","brief":"mod above u with breve","sbrief":"mod above u with breve"}}},{"category":"Ll","key":"016F","mappings":{"default":{"default":"latin small letter u with ring above","alternative":"latin small letter u ring","short":"u ring"},"mathspeak":{"default":"modifying above u with ring","brief":"mod above u with ring","sbrief":"mod above u with ring"}}},{"category":"Ll","key":"0171","mappings":{"default":{"default":"latin small letter u with double acute","alternative":"latin small letter u double acute","short":"u double acute"},"mathspeak":{"default":"modifying above u with double acute","brief":"mod above u with double acute","sbrief":"mod above u with double acute"}}},{"category":"Ll","key":"0173","mappings":{"default":{"default":"latin small letter u with ogonek","alternative":"latin small letter u ogonek","short":"u ogonek"},"mathspeak":{"default":"modifying above u with ogonek","brief":"mod above u with ogonek","sbrief":"mod above u with ogonek"}}},{"category":"Ll","key":"0175","mappings":{"default":{"default":"latin small letter w with circumflex","alternative":"latin small letter w hat","short":"w hat"},"mathspeak":{"default":"modifying above w with caret","brief":"mod above w with caret","sbrief":"mod above w with caret"}}},{"category":"Ll","key":"0177","mappings":{"default":{"default":"latin small letter y with circumflex","alternative":"latin small letter y hat","short":"y hat"},"mathspeak":{"default":"modifying above y with caret","brief":"mod above y with caret","sbrief":"mod above y with caret"}}},{"category":"Ll","key":"017A","mappings":{"default":{"default":"latin small letter z with acute","alternative":"latin small letter z acute","short":"z acute"},"mathspeak":{"default":"modifying above z with acute","brief":"mod above z with acute","sbrief":"mod above z with acute"}}},{"category":"Ll","key":"017C","mappings":{"default":{"default":"latin small letter z with dot above","alternative":"latin small letter z dot","short":"z overdot"},"mathspeak":{"default":"modifying above z with dot","brief":"mod above z with dot","sbrief":"mod above z with dot"}}},{"category":"Ll","key":"017E","mappings":{"default":{"default":"latin small letter z with caron","alternative":"latin small letter z hacek","short":"z caron"},"mathspeak":{"default":"modifying above z with caron","brief":"mod above z with caron","sbrief":"mod above z with caron"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"latin small letter a with caron","alternative":"latin small letter a hacek","short":"a caron"},"mathspeak":{"default":"modifying above a with caron","brief":"mod above a with caron","sbrief":"mod above a with caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"latin small letter i with caron","alternative":"latin small letter i hacek","short":"i caron"},"mathspeak":{"default":"modifying above i with caron","brief":"mod above i with caron","sbrief":"mod above i with caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"latin small letter o with caron","alternative":"latin small letter o hacek","short":"o caron"},"mathspeak":{"default":"modifying above o with caron","brief":"mod above o with caron","sbrief":"mod above o with caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"latin small letter u with caron","alternative":"latin small letter u hacek","short":"u caron"},"mathspeak":{"default":"modifying above u with caron","brief":"mod above u with caron","sbrief":"mod above u with caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"latin small letter g with caron","alternative":"latin small letter g hacek","short":"g caron"},"mathspeak":{"default":"modifying above g with caron","brief":"mod above g with caron","sbrief":"mod above g with caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"latin small letter k with caron","alternative":"latin small letter k hacek","short":"k caron"},"mathspeak":{"default":"modifying above k with caron","brief":"mod above k with caron","sbrief":"mod above k with caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"latin small letter o with ogonek","alternative":"latin small letter o ogonek","short":"o ogonek"},"mathspeak":{"default":"modifying above o with ogonek","brief":"mod above o with ogonek","sbrief":"mod above o with ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"latin small letter j with caron","alternative":"latin small letter j hacek","short":"j caron"},"mathspeak":{"default":"modifying above j with caron","brief":"mod above j with caron","sbrief":"mod above j with caron"}}},{"category":"Ll","key":"01F5","mappings":{"default":{"default":"latin small letter g with acute","alternative":"latin small letter g acute","short":"g acute"},"mathspeak":{"default":"modifying above g with acute","brief":"mod above g with acute","sbrief":"mod above g with acute"}}},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"latin small letter n with grave","alternative":"latin small letter n grave","short":"n grave"},"mathspeak":{"default":"modifying above n with grave","brief":"mod above n with grave","sbrief":"mod above n with grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"latin small letter a with double grave","alternative":"latin small letter a double grave","short":"a double grave"},"mathspeak":{"default":"modifying above a with double grave","brief":"mod above a with double grave","sbrief":"mod above a with double grave"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"latin small letter a with inverted breve","alternative":"latin small letter a inverted breve","short":"a inverted breve"},"mathspeak":{"default":"modifying above a with inverted breve","brief":"mod above a with inverted breve","sbrief":"mod above a with inverted breve"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"latin small letter e with double grave","alternative":"latin small letter e double grave","short":"e double grave"},"mathspeak":{"default":"modifying above e with double grave","brief":"mod above e with double grave","sbrief":"mod above e with double grave"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"latin small letter e with inverted breve","alternative":"latin small letter e inverted breve","short":"e inverted breve"},"mathspeak":{"default":"modifying above e with inverted breve","brief":"mod above e with inverted breve","sbrief":"mod above e with inverted breve"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"latin small letter i with double grave","alternative":"latin small letter i double grave","short":"i double grave"},"mathspeak":{"default":"modifying above i with double grave","brief":"mod above i with double grave","sbrief":"mod above i with double grave"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"latin small letter i with inverted breve","alternative":"latin small letter i inverted breve","short":"i inverted breve"},"mathspeak":{"default":"modifying above i with inverted breve","brief":"mod above i with inverted breve","sbrief":"mod above i with inverted breve"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"latin small letter o with double grave","alternative":"latin small letter o double grave","short":"o double grave"},"mathspeak":{"default":"modifying above o with double grave","brief":"mod above o with double grave","sbrief":"mod above o with double grave"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"latin small letter o with inverted breve","alternative":"latin small letter o inverted breve","short":"o inverted breve"},"mathspeak":{"default":"modifying above o with inverted breve","brief":"mod above o with inverted breve","sbrief":"mod above o with inverted breve"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"latin small letter r with double grave","alternative":"latin small letter r double grave","short":"r double grave"},"mathspeak":{"default":"modifying above r with double grave","brief":"mod above r with double grave","sbrief":"mod above r with double grave"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"latin small letter r with inverted breve","alternative":"latin small letter r inverted breve","short":"r inverted breve"},"mathspeak":{"default":"modifying above r with inverted breve","brief":"mod above r with inverted breve","sbrief":"mod above r with inverted breve"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"latin small letter u with double grave","alternative":"latin small letter u double grave","short":"u double grave"},"mathspeak":{"default":"modifying above u with double grave","brief":"mod above u with double grave","sbrief":"mod above u with double grave"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"latin small letter u with inverted breve","alternative":"latin small letter u inverted breve","short":"u inverted breve"},"mathspeak":{"default":"modifying above u with inverted breve","brief":"mod above u with inverted breve","sbrief":"mod above u with inverted breve"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"latin small letter s with comma below","alternative":"latin small letter s comma below","short":"s comma below"},"mathspeak":{"default":"modifying below s with comma below","brief":"mod below s with comma below","sbrief":"mod below s with comma below"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"latin small letter t with comma below","alternative":"latin small letter t comma below","short":"t comma below"},"mathspeak":{"default":"modifying below t with comma below","brief":"mod below t with comma below","sbrief":"mod below t with comma below"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"latin small letter h with caron","alternative":"latin small letter h caron","short":"h caron"},"mathspeak":{"default":"modifying above h with caron","brief":"mod above h with caron","sbrief":"mod above h with caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"latin small letter a with dot above","alternative":"latin small letter a overdot","short":"a overdot"},"mathspeak":{"default":"modifying above a with dot","brief":"mod above a with dot","sbrief":"mod above a with dot"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"latin small letter e with cedilla","alternative":"latin small letter e cedilla","short":"e cedilla"},"mathspeak":{"default":"modifying above e with cedilla","brief":"mod above e with cedilla","sbrief":"mod above e with cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"latin small letter o with dot above","alternative":"latin small letter o overdot","short":"o overdot"},"mathspeak":{"default":"modifying above o with dot","brief":"mod above o with dot","sbrief":"mod above o with dot"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"latin small letter y with macron","alternative":"latin small letter y overbar","short":"y overbar"},"mathspeak":{"default":"y overbar","brief":"y overbar","sbrief":"y overbar"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"latin small letter dotless j","alternative":"latin small letter dotless j","short":"dotless j"},"mathspeak":{"default":"modifying above d with tless j","brief":"mod above d with tless j","sbrief":"mod above d with tless j"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"latin small letter a ring below","alternative":"latin small letter a ring below","short":"a ring below"},"mathspeak":{"default":"modifying below a with ring below","brief":"mod below a with ring below","sbrief":"mod below a with ring below"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"latin small letter b with dot above","alternative":"latin small letter b overdot","short":"b overdot"},"mathspeak":{"default":"modifying above b with dot","brief":"mod above b with dot","sbrief":"mod above b with dot"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"latin small letter b with dot below","alternative":"latin small letter b underdot","short":"b underdot"},"mathspeak":{"default":"modifying below b with dot","brief":"mod below b with dot","sbrief":"mod below b with dot"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"latin small letter b with line below","alternative":"latin small letter b underbar","short":"b underbar"},"mathspeak":{"default":"b underbar","brief":"b underbar","sbrief":"b underbar"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"latin small letter d with dot above","alternative":"latin small letter d overdot","short":"d overdot"},"mathspeak":{"default":"modifying above d with dot","brief":"mod above d with dot","sbrief":"mod above d with dot"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"latin small letter d with dot below","alternative":"latin small letter d underdot","short":"d underdot"},"mathspeak":{"default":"modifying below d with dot","brief":"mod below d with dot","sbrief":"mod below d with dot"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"latin small letter d with line below","alternative":"latin small letter d underbar","short":"d underbar"},"mathspeak":{"default":"d underbar","brief":"d underbar","sbrief":"d underbar"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"latin small letter d with cedilla","alternative":"latin small letter d cedilla","short":"d cedilla"},"mathspeak":{"default":"modifying above d with cedilla","brief":"mod above d with cedilla","sbrief":"mod above d with cedilla"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"latin small letter d with circumflex below","alternative":"latin small letter d underhat","short":"d underhat"},"mathspeak":{"default":"modifying below d with caret","brief":"mod below d with caret","sbrief":"mod below d with caret"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"latin small letter e with circumflex below","alternative":"latin small letter e underhat","short":"e underhat"},"mathspeak":{"default":"modifying below e with caret","brief":"mod below e with caret","sbrief":"mod below e with caret"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"latin small letter e with tilde below","alternative":"latin small letter e tilde below","short":"e tilde below"},"mathspeak":{"default":"e undertilde","brief":"e undertilde","sbrief":"e undertilde"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"latin small letter f with dot above","alternative":"latin small letter f overdot","short":"f overdot"},"mathspeak":{"default":"modifying above f with dot","brief":"mod above f with dot","sbrief":"mod above f with dot"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"latin small letter g with macron","alternative":"latin small letter g overbar","short":"g overbar"},"mathspeak":{"default":"g overbar","brief":"g overbar","sbrief":"g overbar"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"latin small letter h with dot above","alternative":"latin small letter h overdot","short":"h overdot"},"mathspeak":{"default":"modifying above h with dot","brief":"mod above h with dot","sbrief":"mod above h with dot"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"latin small letter h with dot below","alternative":"latin small letter h underdot","short":"h underdot"},"mathspeak":{"default":"modifying below h with dot","brief":"mod below h with dot","sbrief":"mod below h with dot"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"latin small letter h with diaeresis","alternative":"latin small letter h double overdot","short":"h double overdot"},"mathspeak":{"default":"modifying above h with double dot","brief":"mod above h with double dot","sbrief":"mod above h with double dot"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"latin small letter h with cedilla","alternative":"latin small letter h cedilla","short":"h cedilla"},"mathspeak":{"default":"modifying above h with cedilla","brief":"mod above h with cedilla","sbrief":"mod above h with cedilla"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"latin small letter h with breve below","alternative":"latin small letter h breve below","short":"h breve below"},"mathspeak":{"default":"modifying below h with breve below","brief":"mod below h with breve below","sbrief":"mod below h with breve below"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"latin small letter i with tilde below","alternative":"latin small letter i tilde below","short":"i tilde below"},"mathspeak":{"default":"i undertilde","brief":"i undertilde","sbrief":"i undertilde"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"latin small letter k with acute","alternative":"latin small letter k acute","short":"k acute"},"mathspeak":{"default":"modifying above k with acute","brief":"mod above k with acute","sbrief":"mod above k with acute"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"latin small letter k with dot below","alternative":"latin small letter k underdot","short":"k underdot"},"mathspeak":{"default":"modifying below k with dot","brief":"mod below k with dot","sbrief":"mod below k with dot"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"latin small letter k with line below","alternative":"latin small letter k underbar","short":"k underbar"},"mathspeak":{"default":"k underbar","brief":"k underbar","sbrief":"k underbar"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"latin small letter l with dot below","alternative":"latin small letter l underdot","short":"l underdot"},"mathspeak":{"default":"modifying below l with dot","brief":"mod below l with dot","sbrief":"mod below l with dot"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"latin small letter l with line below","alternative":"latin small letter l underbar","short":"l underbar"},"mathspeak":{"default":"l underbar","brief":"l underbar","sbrief":"l underbar"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"latin small letter l with circumflex below","alternative":"latin small letter l underhat","short":"l underhat"},"mathspeak":{"default":"modifying below l with caret","brief":"mod below l with caret","sbrief":"mod below l with caret"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"latin small letter m with acute","alternative":"latin small letter m acute","short":"m acute"},"mathspeak":{"default":"modifying above m with acute","brief":"mod above m with acute","sbrief":"mod above m with acute"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"latin small letter m with dot above","alternative":"latin small letter m overdot","short":"m overdot"},"mathspeak":{"default":"modifying above m with dot","brief":"mod above m with dot","sbrief":"mod above m with dot"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"latin small letter m with dot below","alternative":"latin small letter m underdot","short":"m underdot"},"mathspeak":{"default":"modifying below m with dot","brief":"mod below m with dot","sbrief":"mod below m with dot"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"latin small letter n with dot above","alternative":"latin small letter n overdot","short":"n overdot"},"mathspeak":{"default":"modifying above n with dot","brief":"mod above n with dot","sbrief":"mod above n with dot"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"latin small letter n with dot below","alternative":"latin small letter n underdot","short":"n underdot"},"mathspeak":{"default":"modifying below n with dot","brief":"mod below n with dot","sbrief":"mod below n with dot"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"latin small letter n with line below","alternative":"latin small letter n underbar","short":"n underbar"},"mathspeak":{"default":"n underbar","brief":"n underbar","sbrief":"n underbar"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"latin small letter n with circumflex below","alternative":"latin small letter n underhat","short":"n underhat"},"mathspeak":{"default":"modifying below n with caret","brief":"mod below n with caret","sbrief":"mod below n with caret"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"latin small letter p with acute","alternative":"latin small letter p acute","short":"p acute"},"mathspeak":{"default":"modifying above p with acute","brief":"mod above p with acute","sbrief":"mod above p with acute"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"latin small letter p with dot above","alternative":"latin small letter p overdot","short":"p overdot"},"mathspeak":{"default":"modifying above p with dot","brief":"mod above p with dot","sbrief":"mod above p with dot"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"latin small letter r with dot above","alternative":"latin small letter r overdot","short":"r overdot"},"mathspeak":{"default":"modifying above r with dot","brief":"mod above r with dot","sbrief":"mod above r with dot"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"latin small letter r with dot below","alternative":"latin small letter r underdot","short":"r underdot"},"mathspeak":{"default":"modifying below r with dot","brief":"mod below r with dot","sbrief":"mod below r with dot"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"latin small letter r with line below","alternative":"latin small letter r underbar","short":"r underbar"},"mathspeak":{"default":"r underbar","brief":"r underbar","sbrief":"r underbar"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"latin small letter s with dot above","alternative":"latin small letter s overdot","short":"s overdot"},"mathspeak":{"default":"modifying above s with dot","brief":"mod above s with dot","sbrief":"mod above s with dot"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"latin small letter s with dot below","alternative":"latin small letter s underdot","short":"s underdot"},"mathspeak":{"default":"modifying below s with dot","brief":"mod below s with dot","sbrief":"mod below s with dot"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"latin small letter t with dot above","alternative":"latin small letter t overdot","short":"t overdot"},"mathspeak":{"default":"modifying above t with dot","brief":"mod above t with dot","sbrief":"mod above t with dot"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"latin small letter t with dot below","alternative":"latin small letter t underdot","short":"t underdot"},"mathspeak":{"default":"modifying below t with dot","brief":"mod below t with dot","sbrief":"mod below t with dot"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"latin small letter t with line below","alternative":"latin small letter t underbar","short":"t underbar"},"mathspeak":{"default":"t underbar","brief":"t underbar","sbrief":"t underbar"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"latin small letter t with circumflex below","alternative":"latin small letter t underhat","short":"t underhat"},"mathspeak":{"default":"modifying below t with caret","brief":"mod below t with caret","sbrief":"mod below t with caret"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"latin small letter u with diaeresis below","alternative":"latin small letter u double underdot","short":"u double underdot"},"mathspeak":{"default":"modifying below u with double dot","brief":"mod below u with double dot","sbrief":"mod below u with double dot"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"latin small letter u with tilde below","alternative":"latin small letter u tilde below","short":"u tilde below"},"mathspeak":{"default":"u undertilde","brief":"u undertilde","sbrief":"u undertilde"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"latin small letter u with circumflex below","alternative":"latin small letter u underhat","short":"u underhat"},"mathspeak":{"default":"modifying below u with caret","brief":"mod below u with caret","sbrief":"mod below u with caret"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"latin small letter v with tilde","alternative":"latin small letter v tilde","short":"v tilde"},"mathspeak":{"default":"v overtilde","brief":"v overtilde","sbrief":"v overtilde"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"latin small letter v with dot below","alternative":"latin small letter v underdot","short":"v underdot"},"mathspeak":{"default":"modifying below v with dot","brief":"mod below v with dot","sbrief":"mod below v with dot"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"latin small letter w with grave","alternative":"latin small letter w grave","short":"w grave"},"mathspeak":{"default":"modifying above w with grave","brief":"mod above w with grave","sbrief":"mod above w with grave"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"latin small letter w with acute","alternative":"latin small letter w acute","short":"w acute"},"mathspeak":{"default":"modifying above w with acute","brief":"mod above w with acute","sbrief":"mod above w with acute"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"latin small letter w with diaeresis","alternative":"latin small letter w double overdot","short":"w double overdot"},"mathspeak":{"default":"modifying above w with double dot","brief":"mod above w with double dot","sbrief":"mod above w with double dot"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"latin small letter w with dot above","alternative":"latin small letter w overdot","short":"w overdot"},"mathspeak":{"default":"modifying above w with dot","brief":"mod above w with dot","sbrief":"mod above w with dot"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"latin small letter w with dot below","alternative":"latin small letter w underdot","short":"w underdot"},"mathspeak":{"default":"modifying below w with dot","brief":"mod below w with dot","sbrief":"mod below w with dot"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"latin small letter x with dot above","alternative":"latin small letter x overdot","short":"x overdot"},"mathspeak":{"default":"modifying above x with dot","brief":"mod above x with dot","sbrief":"mod above x with dot"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"latin small letter x with diaeresis","alternative":"latin small letter x double overdot","short":"x double overdot"},"mathspeak":{"default":"modifying above x with double dot","brief":"mod above x with double dot","sbrief":"mod above x with double dot"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"latin small letter y with dot above","alternative":"latin small letter y overdot","short":"y overdot"},"mathspeak":{"default":"modifying above y with dot","brief":"mod above y with dot","sbrief":"mod above y with dot"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"latin small letter z with circumflex","alternative":"latin small letter z hat","short":"z hat"},"mathspeak":{"default":"modifying above z with caret","brief":"mod above z with caret","sbrief":"mod above z with caret"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"latin small letter z with dot below","alternative":"latin small letter z underdot","short":"z underdot"},"mathspeak":{"default":"modifying below z with dot","brief":"mod below z with dot","sbrief":"mod below z with dot"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"latin small letter z with line below","alternative":"latin small letter z underbar","short":"z underbar"},"mathspeak":{"default":"z underbar","brief":"z underbar","sbrief":"z underbar"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"latin small letter h with line below","alternative":"latin small letter h underbar","short":"h underbar"},"mathspeak":{"default":"h underbar","brief":"h underbar","sbrief":"h underbar"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"latin small letter t with diaeresis","alternative":"latin small letter t double overdot","short":"t double overdot"},"mathspeak":{"default":"modifying above t with double dot","brief":"mod above t with double dot","sbrief":"mod above t with double dot"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"latin small letter w with ring above","alternative":"latin small letter w ring","short":"w ring"},"mathspeak":{"default":"modifying above w with ring","brief":"mod above w with ring","sbrief":"mod above w with ring"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"latin small letter y with ring above","alternative":"latin small letter y ring","short":"y ring"},"mathspeak":{"default":"modifying above y with ring","brief":"mod above y with ring","sbrief":"mod above y with ring"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"latin small letter a with right half ring","alternative":"latin small letter a right half ring","short":"a right half ring"},"mathspeak":{"default":"modifying above a with right half ring","brief":"mod above a with right half ring","sbrief":"mod above a with right half ring"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"latin small letter a with dot below","alternative":"latin small letter a underdot","short":"a underdot"},"mathspeak":{"default":"modifying below a with dot","brief":"mod below a with dot","sbrief":"mod below a with dot"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"latin small letter a with hook above","alternative":"latin small letter a hook","short":"a hook"},"mathspeak":{"default":"modifying above a with hook","brief":"mod above a with hook","sbrief":"mod above a with hook"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"latin small letter e with dot below","alternative":"latin small letter e underdot","short":"e underdot"},"mathspeak":{"default":"modifying below e with dot","brief":"mod below e with dot","sbrief":"mod below e with dot"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"latin small letter e with hook above","alternative":"latin small letter e hook","short":"e hook"},"mathspeak":{"default":"modifying above e with hook","brief":"mod above e with hook","sbrief":"mod above e with hook"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"latin small letter e with tilde","alternative":"latin small letter e tilde","short":"e tilde"},"mathspeak":{"default":"e overtilde","brief":"e overtilde","sbrief":"e overtilde"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"latin small letter i with hook above","alternative":"latin small letter i hook","short":"i hook"},"mathspeak":{"default":"modifying above i with hook","brief":"mod above i with hook","sbrief":"mod above i with hook"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"latin small letter i with dot below","alternative":"latin small letter i underdot","short":"i underdot"},"mathspeak":{"default":"modifying below i with dot","brief":"mod below i with dot","sbrief":"mod below i with dot"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"latin small letter o with dot below","alternative":"latin small letter o underdot","short":"o underdot"},"mathspeak":{"default":"modifying below o with dot","brief":"mod below o with dot","sbrief":"mod below o with dot"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"latin small letter o with hook above","alternative":"latin small letter o hook","short":"o hook"},"mathspeak":{"default":"modifying above o with hook","brief":"mod above o with hook","sbrief":"mod above o with hook"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"latin small letter u with dot below","alternative":"latin small letter u underdot","short":"u underdot"},"mathspeak":{"default":"modifying below u with dot","brief":"mod below u with dot","sbrief":"mod below u with dot"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"latin small letter u with hook above","alternative":"latin small letter u hook","short":"u hook"},"mathspeak":{"default":"modifying above u with hook","brief":"mod above u with hook","sbrief":"mod above u with hook"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"latin small letter y with grave","alternative":"latin small letter y grave","short":"y grave"},"mathspeak":{"default":"modifying above y with grave","brief":"mod above y with grave","sbrief":"mod above y with grave"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"latin small letter y with dot below","alternative":"latin small letter y underdot","short":"y underdot"},"mathspeak":{"default":"modifying below y with dot","brief":"mod below y with dot","sbrief":"mod below y with dot"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"latin small letter y with hook above","alternative":"latin small letter y hook","short":"y hook"},"mathspeak":{"default":"modifying above y with hook","brief":"mod above y with hook","sbrief":"mod above y with hook"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"latin small letter y with tilde","alternative":"latin small letter y tilde","short":"y tilde"},"mathspeak":{"default":"y overtilde","brief":"y overtilde","sbrief":"y overtilde"}}}]
+"de/symbols/math_angles.js": 
+[{"locale":"de"},{"category":"Sm","key":"22BE","mappings":{"default":{"default":"rechter Winkel mit Bogen"}}},{"category":"Sm","key":"237C","mappings":{"default":{"default":"rechter Winkel mit nach unten gerichtetem Zickzackpfeil"}}},{"category":"Sm","key":"27C0","mappings":{"default":{"default":"Dreidimensionaler Winkel"}}},{"category":"Sm","key":"299B","mappings":{"default":{"default":"Gemessene Winkelöffnung links"}}},{"category":"Sm","key":"299C","mappings":{"default":{"default":"Rechtwinklige Variante mit Quadrat"}}},{"category":"Sm","key":"299D","mappings":{"default":{"default":"rechter Winkel mit Punkt gemessen"}}},{"category":"Sm","key":"299E","mappings":{"default":{"default":"Winkel mit S nach innen"}}},{"category":"Sm","key":"299F","mappings":{"default":{"default":"Spitzer Winkel"}}},{"category":"Sm","key":"29A0","mappings":{"default":{"default":"Sphärischer Öffnungswinkel nach links"}}},{"category":"Sm","key":"29A1","mappings":{"default":{"default":"Sphärischer Winkel, der sich öffnet"}}},{"category":"Sm","key":"29A2","mappings":{"default":{"default":"Gedrehter Winkel"}}},{"category":"Sm","key":"29A3","mappings":{"default":{"default":"Umgekehrter Winkel"}}},{"category":"Sm","key":"29A4","mappings":{"default":{"default":"Winkel mit Underbar"}}},{"category":"Sm","key":"29A5","mappings":{"default":{"default":"Umgekehrter Winkel mit Unterleiste"}}},{"category":"Sm","key":"29A6","mappings":{"default":{"default":"Schräger Winkel, der sich öffnet"}}},{"category":"Sm","key":"29A7","mappings":{"default":{"default":"Schräger Winkel, der sich nach unten öffnet"}}},{"category":"Sm","key":"29A8","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im Pfeil nach oben und rechts"}}},{"category":"Sm","key":"29A9","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm und Pfeil nach oben und links"}}},{"category":"Sm","key":"29AA","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im nach unten zeigenden Pfeil und rechts"}}},{"category":"Sm","key":"29AB","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im nach unten zeigenden Pfeil"}}},{"category":"Sm","key":"29AC","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im Pfeil nach rechts und oben"}}},{"category":"Sm","key":"29AD","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im Pfeil nach links und oben"}}},{"category":"Sm","key":"29AE","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im nach rechts und unten zeigenden Pfeil"}}},{"category":"Sm","key":"29AF","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm und Pfeil nach links und unten"}}}]
 ,
-"en/latin-mathfonts-bold-fraktur.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital a","short":"bold fraktur cap a"},"mathspeak":{"default":"bold fraktur upper A"}},"key":"1D56C"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital b","short":"bold fraktur cap b"},"mathspeak":{"default":"bold fraktur upper B"}},"key":"1D56D"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital c","short":"bold fraktur cap c"},"mathspeak":{"default":"bold fraktur upper C"}},"key":"1D56E"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital d","short":"bold fraktur cap d"},"mathspeak":{"default":"bold fraktur upper D"}},"key":"1D56F"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital e","short":"bold fraktur cap e"},"mathspeak":{"default":"bold fraktur upper E"}},"key":"1D570"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital f","short":"bold fraktur cap f"},"mathspeak":{"default":"bold fraktur upper F"}},"key":"1D571"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital g","short":"bold fraktur cap g"},"mathspeak":{"default":"bold fraktur upper G"}},"key":"1D572"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital h","short":"bold fraktur cap h"},"mathspeak":{"default":"bold fraktur upper H"}},"key":"1D573"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital i","short":"bold fraktur cap i"},"mathspeak":{"default":"bold fraktur upper I"}},"key":"1D574"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital j","short":"bold fraktur cap j"},"mathspeak":{"default":"bold fraktur upper J"}},"key":"1D575"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital k","short":"bold fraktur cap k"},"mathspeak":{"default":"bold fraktur upper K"}},"key":"1D576"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital l","short":"bold fraktur cap l"},"mathspeak":{"default":"bold fraktur upper L"}},"key":"1D577"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital m","short":"bold fraktur cap m"},"mathspeak":{"default":"bold fraktur upper M"}},"key":"1D578"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital n","short":"bold fraktur cap n"},"mathspeak":{"default":"bold fraktur upper N"}},"key":"1D579"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital o","short":"bold fraktur cap o"},"mathspeak":{"default":"bold fraktur upper O"}},"key":"1D57A"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital p","short":"bold fraktur cap p"},"mathspeak":{"default":"bold fraktur upper P"}},"key":"1D57B"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital q","short":"bold fraktur cap q"},"mathspeak":{"default":"bold fraktur upper Q"}},"key":"1D57C"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital r","short":"bold fraktur cap r"},"mathspeak":{"default":"bold fraktur upper R"}},"key":"1D57D"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital s","short":"bold fraktur cap s"},"mathspeak":{"default":"bold fraktur upper S"}},"key":"1D57E"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital t","short":"bold fraktur cap t"},"mathspeak":{"default":"bold fraktur upper T"}},"key":"1D57F"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital u","short":"bold fraktur cap u"},"mathspeak":{"default":"bold fraktur upper U"}},"key":"1D580"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital v","short":"bold fraktur cap v"},"mathspeak":{"default":"bold fraktur upper V"}},"key":"1D581"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital w","short":"bold fraktur cap w"},"mathspeak":{"default":"bold fraktur upper W"}},"key":"1D582"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital x","short":"bold fraktur cap x"},"mathspeak":{"default":"bold fraktur upper X"}},"key":"1D583"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital y","short":"bold fraktur cap y"},"mathspeak":{"default":"bold fraktur upper Y"}},"key":"1D584"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital z","short":"bold fraktur cap z"},"mathspeak":{"default":"bold fraktur upper Z"}},"key":"1D585"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small a","short":"bold fraktur a"}},"key":"1D586"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small b","short":"bold fraktur b"}},"key":"1D587"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small c","short":"bold fraktur c"}},"key":"1D588"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small d","short":"bold fraktur d"}},"key":"1D589"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small e","short":"bold fraktur e"}},"key":"1D58A"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small f","short":"bold fraktur f"}},"key":"1D58B"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small g","short":"bold fraktur g"}},"key":"1D58C"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small h","short":"bold fraktur h"}},"key":"1D58D"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small i","short":"bold fraktur i"}},"key":"1D58E"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small j","short":"bold fraktur j"}},"key":"1D58F"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small k","short":"bold fraktur k"}},"key":"1D590"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small l","short":"bold fraktur l"}},"key":"1D591"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small m","short":"bold fraktur m"}},"key":"1D592"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small n","short":"bold fraktur n"}},"key":"1D593"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small o","short":"bold fraktur o"}},"key":"1D594"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small p","short":"bold fraktur p"}},"key":"1D595"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small q","short":"bold fraktur q"}},"key":"1D596"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small r","short":"bold fraktur r"}},"key":"1D597"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small s","short":"bold fraktur s"}},"key":"1D598"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small t","short":"bold fraktur t"}},"key":"1D599"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small u","short":"bold fraktur u"}},"key":"1D59A"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small v","short":"bold fraktur v"}},"key":"1D59B"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small w","short":"bold fraktur w"}},"key":"1D59C"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small x","short":"bold fraktur x"}},"key":"1D59D"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small y","short":"bold fraktur y"}},"key":"1D59E"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small z","short":"bold fraktur z"}},"key":"1D59F"}]
+"de/symbols/math_arrows.js": 
+[{"locale":"de"},{"category":"Sm","key":"2190","mappings":{"default":{"default":"Pfeil nach links"}}},{"category":"Sm","key":"2191","mappings":{"default":{"default":"Aufwärtspfeil"}}},{"category":"Sm","key":"2192","mappings":{"default":{"default":"Pfeil nach rechts"}}},{"category":"Sm","key":"2193","mappings":{"default":{"default":"Pfeil nach unten"}}},{"category":"Sm","key":"2194","mappings":{"default":{"default":"Linker rechter Pfeil"}}},{"category":"So","key":"2195","mappings":{"default":{"default":"Pfeil nach oben"}}},{"category":"So","key":"2196","mappings":{"default":{"default":"Nordwestpfeil"}}},{"category":"So","key":"2197","mappings":{"default":{"default":"Nordostpfeil"}}},{"category":"So","key":"2198","mappings":{"default":{"default":"Südostpfeil"}}},{"category":"So","key":"2199","mappings":{"default":{"default":"Südwestpfeil"}}},{"category":"Sm","key":"219A","mappings":{"default":{"default":"Pfeil nach links mit Strich"}}},{"category":"Sm","key":"219B","mappings":{"default":{"default":"Pfeil nach rechts mit Strich"}}},{"category":"So","key":"219C","mappings":{"default":{"default":"Wellenpfeil nach links"}}},{"category":"So","key":"219D","mappings":{"default":{"default":"Wellenpfeil nach rechts"}}},{"category":"So","key":"219E","mappings":{"default":{"default":"Pfeil nach links mit zwei Spitzen"}}},{"category":"So","key":"219F","mappings":{"default":{"default":"Aufwärts zwei Pfeil nach unten"}}},{"category":"Sm","key":"21A0","mappings":{"default":{"default":"Pfeil nach rechts mit zwei Köpfen"}}},{"category":"So","key":"21A1","mappings":{"default":{"default":"Abwärts zwei Pfeil nach unten"}}},{"category":"So","key":"21A2","mappings":{"default":{"default":"Pfeil nach links mit Schwanz"}}},{"category":"Sm","key":"21A3","mappings":{"default":{"default":"Pfeil nach rechts mit Schwanz"}}},{"category":"So","key":"21A4","mappings":{"default":{"default":"Pfeil nach links von der Bar"}}},{"category":"So","key":"21A5","mappings":{"default":{"default":"Pfeil von der Bar nach oben"}}},{"category":"Sm","key":"21A6","mappings":{"default":{"default":"Pfeil nach rechts von der Bar"}}},{"category":"So","key":"21A7","mappings":{"default":{"default":"Pfeil von der Bar nach unten"}}},{"category":"So","key":"21A8","mappings":{"default":{"default":"Pfeil nach unten mit Basis"}}},{"category":"So","key":"21A9","mappings":{"default":{"default":"Pfeil nach links mit Haken"}}},{"category":"So","key":"21AA","mappings":{"default":{"default":"Pfeil nach rechts mit Haken"}}},{"category":"So","key":"21AB","mappings":{"default":{"default":"Pfeil nach links mit Schleife"}}},{"category":"So","key":"21AC","mappings":{"default":{"default":"Pfeil nach rechts mit Schleife"}}},{"category":"So","key":"21AD","mappings":{"default":{"default":"Linker rechter Wellenpfeil"}}},{"category":"Sm","key":"21AE","mappings":{"default":{"default":"Linker rechter Pfeil mit Strich"}}},{"category":"So","key":"21AF","mappings":{"default":{"default":"Zickzack-Pfeil nach unten"}}},{"category":"So","key":"21B0","mappings":{"default":{"default":"Aufwärtspfeil mit Spitze nach links"}}},{"category":"So","key":"21B1","mappings":{"default":{"default":"Aufwärtspfeil mit Spitze nach rechts"}}},{"category":"So","key":"21B2","mappings":{"default":{"default":"Pfeil nach unten mit Spitze nach links"}}},{"category":"So","key":"21B3","mappings":{"default":{"default":"Abwärtspfeil mit Spitze nach rechts"}}},{"category":"So","key":"21B4","mappings":{"default":{"default":"Pfeil nach rechts mit Ecke nach unten"}}},{"category":"So","key":"21B5","mappings":{"default":{"default":"Pfeil nach unten mit Ecke nach links"}}},{"category":"So","key":"21B6","mappings":{"default":{"default":"Gegen den Uhrzeigersinn oberer halbkreisförmiger Pfeil"}}},{"category":"So","key":"21B7","mappings":{"default":{"default":"Halbkreis im Uhrzeigersinn"}}},{"category":"So","key":"21B8","mappings":{"default":{"default":"Nordwestpfeil zur langen Bar"}}},{"category":"So","key":"21B9","mappings":{"default":{"default":"Pfeil nach links zum Überfahren Pfeil nach rechts zum Überfahren"}}},{"category":"So","key":"21BA","mappings":{"default":{"default":"Offener Kreispfeil gegen den Uhrzeigersinn"}}},{"category":"So","key":"21BB","mappings":{"default":{"default":"Kreispfeil im Uhrzeigersinn öffnen"}}},{"category":"So","key":"21C4","mappings":{"default":{"default":"Pfeil nach rechts über Pfeil nach links"}}},{"category":"So","key":"21C5","mappings":{"default":{"default":"Aufwärtspfeil nach links von Abwärtspfeil"}}},{"category":"So","key":"21C6","mappings":{"default":{"default":"Pfeil nach links über Pfeil nach rechts"}}},{"category":"So","key":"21C7","mappings":{"default":{"default":"Links gepaarte Pfeile"}}},{"category":"So","key":"21C8","mappings":{"default":{"default":"Aufwärts gepaarte Pfeile"}}},{"category":"So","key":"21C9","mappings":{"default":{"default":"Rechts gepaarte Pfeile"}}},{"category":"So","key":"21CA","mappings":{"default":{"default":"Abwärts gepaarte Pfeile"}}},{"category":"So","key":"21CD","mappings":{"default":{"default":"Doppelpfeil nach links mit Strich"}}},{"category":"Sm","key":"21CE","mappings":{"default":{"default":"Links Rechts Doppelpfeil mit Strich"}}},{"category":"Sm","key":"21CF","mappings":{"default":{"default":"Doppelpfeil nach rechts mit Strich"}}},{"category":"So","key":"21D0","mappings":{"default":{"default":"Doppelpfeil nach links"}}},{"category":"So","key":"21D1","mappings":{"default":{"default":"Doppelpfeil nach oben"}}},{"category":"Sm","key":"21D2","mappings":{"default":{"default":"Doppelpfeil nach rechts"}}},{"category":"So","key":"21D3","mappings":{"default":{"default":"Doppelpfeil nach unten"}}},{"category":"Sm","key":"21D4","mappings":{"default":{"default":"Linker rechter Doppelpfeil"}}},{"category":"So","key":"21D5","mappings":{"default":{"default":"Doppelpfeil nach unten"}}},{"category":"So","key":"21D6","mappings":{"default":{"default":"Nordwest-Doppelpfeil"}}},{"category":"So","key":"21D7","mappings":{"default":{"default":"Nordost-Doppelpfeil"}}},{"category":"So","key":"21D8","mappings":{"default":{"default":"Südost Doppelpfeil"}}},{"category":"So","key":"21D9","mappings":{"default":{"default":"Südwest-Doppelpfeil"}}},{"category":"So","key":"21DA","mappings":{"default":{"default":"Dreifacher Pfeil nach links"}}},{"category":"So","key":"21DB","mappings":{"default":{"default":"Dreifacher Pfeil nach rechts"}}},{"category":"So","key":"21DC","mappings":{"default":{"default":"Linker Squiggle-Pfeil"}}},{"category":"So","key":"21DD","mappings":{"default":{"default":"Nach rechts gekrümmter Pfeil"}}},{"category":"So","key":"21DE","mappings":{"default":{"default":"Aufwärtspfeil mit Doppelstrich"}}},{"category":"So","key":"21DF","mappings":{"default":{"default":"Abwärtspfeil mit Doppelstrich"}}},{"category":"So","key":"21E0","mappings":{"default":{"default":"Pfeil nach links nach links"}}},{"category":"So","key":"21E1","mappings":{"default":{"default":"Pfeil nach oben gestrichen"}}},{"category":"So","key":"21E2","mappings":{"default":{"default":"Rechts gestrichener Pfeil"}}},{"category":"So","key":"21E3","mappings":{"default":{"default":"Abwärts gestrichelter Pfeil"}}},{"category":"So","key":"21E4","mappings":{"default":{"default":"Pfeil nach links zur Bar"}}},{"category":"So","key":"21E5","mappings":{"default":{"default":"Pfeil nach rechts zur Bar"}}},{"category":"So","key":"21E6","mappings":{"default":{"default":"Weißer Pfeil nach links"}}},{"category":"So","key":"21E7","mappings":{"default":{"default":"Aufwärts weißer Pfeil"}}},{"category":"So","key":"21E8","mappings":{"default":{"default":"Rechts weißer Pfeil"}}},{"category":"So","key":"21E9","mappings":{"default":{"default":"Abwärts weißer Pfeil"}}},{"category":"So","key":"21EA","mappings":{"default":{"default":"Aufwärts weißer Pfeil von der Stange"}}},{"category":"So","key":"21EB","mappings":{"default":{"default":"Aufwärts weißer Pfeil auf Sockel"}}},{"category":"So","key":"21EC","mappings":{"default":{"default":"Aufwärts weißer Pfeil auf Sockel mit horizontaler Stange"}}},{"category":"So","key":"21ED","mappings":{"default":{"default":"Aufwärts weißer Pfeil auf Sockel mit vertikaler Stange"}}},{"category":"So","key":"21EE","mappings":{"default":{"default":"Aufwärts weißer Doppelpfeil"}}},{"category":"So","key":"21EF","mappings":{"default":{"default":"Aufwärts weißer doppelter Pfeil auf Sockel"}}},{"category":"So","key":"21F0","mappings":{"default":{"default":"Rechts weißer Pfeil von der Wand"}}},{"category":"So","key":"21F1","mappings":{"default":{"default":"Nordwestpfeil zur Ecke"}}},{"category":"So","key":"21F2","mappings":{"default":{"default":"Südostpfeil zur Ecke"}}},{"category":"So","key":"21F3","mappings":{"default":{"default":"Weißer Pfeil nach unten"}}},{"category":"Sm","key":"21F4","mappings":{"default":{"default":"rechter Pfeil mit kleinem Kreis"}}},{"category":"Sm","key":"21F5","mappings":{"default":{"default":"Abwärtspfeil nach links von Aufwärtspfeil"}}},{"category":"Sm","key":"21F6","mappings":{"default":{"default":"Drei nach rechts gerichtete Pfeile"}}},{"category":"Sm","key":"21F7","mappings":{"default":{"default":"Pfeil nach links mit vertikalem Strich"}}},{"category":"Sm","key":"21F8","mappings":{"default":{"default":"Pfeil nach rechts mit vertikalem Strich"}}},{"category":"Sm","key":"21F9","mappings":{"default":{"default":"Linker rechter Pfeil mit vertikalem Strich"}}},{"category":"Sm","key":"21FA","mappings":{"default":{"default":"Pfeil nach links mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"21FB","mappings":{"default":{"default":"Pfeil nach rechts mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"21FC","mappings":{"default":{"default":"Linker rechter Pfeil mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"21FD","mappings":{"default":{"default":"Pfeil nach links mit offenem Kopf"}}},{"category":"Sm","key":"21FE","mappings":{"default":{"default":"Pfeil nach rechts mit offenem Kopf"}}},{"category":"Sm","key":"21FF","mappings":{"default":{"default":"Linker rechter Pfeil mit offenem Kopf"}}},{"category":"So","key":"2301","mappings":{"default":{"default":"Elektrischer Pfeil"}}},{"category":"So","key":"2303","mappings":{"default":{"default":"Pfeil nach oben"}}},{"category":"So","key":"2304","mappings":{"default":{"default":"Pfeil nach unten"}}},{"category":"So","key":"2324","mappings":{"default":{"default":"Pfeilspitze zwischen zwei horizontalen Balken"}}},{"category":"So","key":"238B","mappings":{"default":{"default":"Gebrochener Kreis mit Nordwestpfeil"}}},{"category":"So","key":"2794","mappings":{"default":{"default":"Schwerer, nach rechts gerichteter Pfeil nach rechts"}}},{"category":"So","key":"2798","mappings":{"default":{"default":"Schwerer Südostpfeil"}}},{"category":"So","key":"2799","mappings":{"default":{"default":"Schwerer Pfeil nach rechts"}}},{"category":"So","key":"279A","mappings":{"default":{"default":"Schwerer Nordostpfeil"}}},{"category":"So","key":"279B","mappings":{"default":{"default":"Zeichnungspunkt Pfeil nach rechts"}}},{"category":"So","key":"279C","mappings":{"default":{"default":"Schwerer runder Pfeil nach rechts"}}},{"category":"So","key":"279D","mappings":{"default":{"default":"Dreieckköpfiger Pfeil nach rechts"}}},{"category":"So","key":"279E","mappings":{"default":{"default":"Schwerer Dreieckspfeil nach rechts"}}},{"category":"So","key":"279F","mappings":{"default":{"default":"Dreieckköpfiger Pfeil nach rechts"}}},{"category":"So","key":"27A0","mappings":{"default":{"default":"Schwerer, gestrichelter Dreieckspfeil nach rechts"}}},{"category":"So","key":"27A1","mappings":{"default":{"default":"Schwarzer Pfeil nach rechts"}}},{"category":"So","key":"27A2","mappings":{"default":{"default":"Dreidimensionale, nach oben beleuchtete Pfeilspitze"}}},{"category":"So","key":"27A3","mappings":{"default":{"default":"Dreidimensionale, von unten beleuchtete Pfeilspitze nach rechts"}}},{"category":"So","key":"27A4","mappings":{"default":{"default":"Schwarze Pfeilspitze nach rechts"}}},{"category":"So","key":"27A5","mappings":{"default":{"default":"Schwerer schwarzer Pfeil nach unten und rechts gebogen"}}},{"category":"So","key":"27A6","mappings":{"default":{"default":"Schwerer schwarzer Pfeil nach oben und rechts gebogen"}}},{"category":"So","key":"27A7","mappings":{"default":{"default":"Schwarzer nach rechts gerichteter Pfeil"}}},{"category":"So","key":"27A8","mappings":{"default":{"default":"Schwerer konkaver Spitze-Pfeil nach rechts"}}},{"category":"So","key":"27A9","mappings":{"default":{"default":"Rechts geschatteter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AA","mappings":{"default":{"default":"Links schattierter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AB","mappings":{"default":{"default":"Zurückgekippter, beschatteter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AC","mappings":{"default":{"default":"Vorne geneigter, beschatteter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AD","mappings":{"default":{"default":"Schwerer unterer rechter Schatten mit weißem Pfeil nach rechts"}}},{"category":"So","key":"27AE","mappings":{"default":{"default":"Schwerer oberer rechter Schatten mit weißem Pfeil nach rechts"}}},{"category":"So","key":"27AF","mappings":{"default":{"default":"Gekerbter Pfeil nach rechts unten rechts"}}},{"category":"So","key":"27B1","mappings":{"default":{"default":"Weißer Pfeil nach rechts oben gekerbt"}}},{"category":"So","key":"27B2","mappings":{"default":{"default":"Eingekreister schwerer weißer Pfeil nach rechts"}}},{"category":"So","key":"27B3","mappings":{"default":{"default":"Pfeil mit weißer Feder nach rechts"}}},{"category":"So","key":"27B4","mappings":{"default":{"default":"Schwarz-gefiederter Südostpfeil"}}},{"category":"So","key":"27B5","mappings":{"default":{"default":"Pfeil mit schwarzer Feder nach rechts"}}},{"category":"So","key":"27B6","mappings":{"default":{"default":"Schwarzgefiederter Nordostpfeil"}}},{"category":"So","key":"27B7","mappings":{"default":{"default":"Schwerer schwarzgefiederter Südostpfeil"}}},{"category":"So","key":"27B8","mappings":{"default":{"default":"Schwerer schwarzgefiederter Pfeil nach rechts"}}},{"category":"So","key":"27B9","mappings":{"default":{"default":"Schwerer schwarzgefiederter Nordostpfeil"}}},{"category":"So","key":"27BA","mappings":{"default":{"default":"Teardrop-Barbed-Pfeil nach rechts"}}},{"category":"So","key":"27BB","mappings":{"default":{"default":"Schwerer Tropfen-Pfeil nach rechts"}}},{"category":"So","key":"27BC","mappings":{"default":{"default":"Keil-Schwanz nach rechts Pfeil"}}},{"category":"So","key":"27BD","mappings":{"default":{"default":"Schwerer, nach rechts gekeilter Pfeil"}}},{"category":"So","key":"27BE","mappings":{"default":{"default":"Offener Pfeil nach rechts"}}},{"category":"Sm","key":"27F0","mappings":{"default":{"default":"Vierfachpfeil nach oben"}}},{"category":"Sm","key":"27F1","mappings":{"default":{"default":"Vierfacher Pfeil nach unten"}}},{"category":"Sm","key":"27F2","mappings":{"default":{"default":"Kreispfeil gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"27F3","mappings":{"default":{"default":"Kreispfeil im Uhrzeigersinn"}}},{"category":"Sm","key":"27F4","mappings":{"default":{"default":"rechter Pfeil mit Circled Plus"}}},{"category":"Sm","key":"27F5","mappings":{"default":{"default":"Langer Pfeil nach links"}}},{"category":"Sm","key":"27F6","mappings":{"default":{"default":"Langer Pfeil nach rechts"}}},{"category":"Sm","key":"27F7","mappings":{"default":{"default":"Langer linker rechter Pfeil"}}},{"category":"Sm","key":"27F8","mappings":{"default":{"default":"Langer Doppelpfeil nach links"}}},{"category":"Sm","key":"27F9","mappings":{"default":{"default":"Langer Doppelpfeil nach rechts"}}},{"category":"Sm","key":"27FA","mappings":{"default":{"default":"Langer linker rechter Doppelpfeil"}}},{"category":"Sm","key":"27FB","mappings":{"default":{"default":"Langer Pfeil nach links von der Bar"}}},{"category":"Sm","key":"27FC","mappings":{"default":{"default":"Langer Rechtspfeil von der Bar"}}},{"category":"Sm","key":"27FD","mappings":{"default":{"default":"Langer Doppelpfeil nach links von der Bar"}}},{"category":"Sm","key":"27FE","mappings":{"default":{"default":"Langer Doppelpfeil nach rechts von der Bar"}}},{"category":"Sm","key":"27FF","mappings":{"default":{"default":"Langer nach rechts gerichteter Squiggle-Pfeil"}}},{"category":"Sm","key":"2900","mappings":{"default":{"default":"Pfeil nach rechts mit senkrechtem Strich"}}},{"category":"Sm","key":"2901","mappings":{"default":{"default":"Zwei Pfeil nach rechts mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2902","mappings":{"default":{"default":"Doppelpfeil nach links mit vertikalem Strich"}}},{"category":"Sm","key":"2903","mappings":{"default":{"default":"Doppelpfeil nach rechts mit vertikalem Strich"}}},{"category":"Sm","key":"2904","mappings":{"default":{"default":"Linker rechter Doppelpfeil mit vertikalem Strich"}}},{"category":"Sm","key":"2905","mappings":{"default":{"default":"Zwei Pfeil nach rechts von der Bar"}}},{"category":"Sm","key":"2906","mappings":{"default":{"default":"Doppelpfeil nach links von der Bar"}}},{"category":"Sm","key":"2907","mappings":{"default":{"default":"Doppelter Pfeil nach rechts von der Bar"}}},{"category":"Sm","key":"2908","mappings":{"default":{"default":"Abwärtspfeil mit horizontalem Strich"}}},{"category":"Sm","key":"2909","mappings":{"default":{"default":"Aufwärtspfeil mit horizontalem Anschlag"}}},{"category":"Sm","key":"290A","mappings":{"default":{"default":"Dreifachpfeil nach oben"}}},{"category":"Sm","key":"290B","mappings":{"default":{"default":"Dreifacher Pfeil nach unten"}}},{"category":"Sm","key":"290C","mappings":{"default":{"default":"Doppelpfeil nach links"}}},{"category":"Sm","key":"290D","mappings":{"default":{"default":"Doppelpfeil nach rechts"}}},{"category":"Sm","key":"290E","mappings":{"default":{"default":"Dreifacher Strichpfeil nach links"}}},{"category":"Sm","key":"290F","mappings":{"default":{"default":"Dreifacher Bindestrich nach rechts"}}},{"category":"Sm","key":"2910","mappings":{"default":{"default":"Dreipoliger Pfeil nach rechts"}}},{"category":"Sm","key":"2911","mappings":{"default":{"default":"Pfeil nach rechts mit gepunktetem Stamm"}}},{"category":"Sm","key":"2912","mappings":{"default":{"default":"Aufwärtspfeil zur Bar"}}},{"category":"Sm","key":"2913","mappings":{"default":{"default":"Abwärtspfeil zur Bar"}}},{"category":"Sm","key":"2914","mappings":{"default":{"default":"Pfeil nach rechts mit Schwanz mit senkrechtem Anschlag"}}},{"category":"Sm","key":"2915","mappings":{"default":{"default":"Pfeil nach rechts mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2916","mappings":{"default":{"default":"Nach rechts gerichteter zweiköpfiger Pfeil mit Schwanz"}}},{"category":"Sm","key":"2917","mappings":{"default":{"default":"Nach rechts gerichteter Doppelpfeil mit Schwanz mit senkrechtem Anschlag"}}},{"category":"Sm","key":"2918","mappings":{"default":{"default":"Nach rechts gerichteter Doppelpfeil mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2919","mappings":{"default":{"default":"Pfeil nach links nach links"}}},{"category":"Sm","key":"291A","mappings":{"default":{"default":"Pfeil nach rechts nach rechts"}}},{"category":"Sm","key":"291B","mappings":{"default":{"default":"Doppelter Pfeilschwanz nach links"}}},{"category":"Sm","key":"291C","mappings":{"default":{"default":"Doppelter Pfeilschwanz nach rechts"}}},{"category":"Sm","key":"291D","mappings":{"default":{"default":"Pfeil nach links zu Black Diamond"}}},{"category":"Sm","key":"291E","mappings":{"default":{"default":"Pfeil nach rechts zu Black Diamond"}}},{"category":"Sm","key":"291F","mappings":{"default":{"default":"Pfeil nach links von Bar zu Black Diamond"}}},{"category":"Sm","key":"2920","mappings":{"default":{"default":"Pfeil nach rechts von Bar zu Black Diamond"}}},{"category":"Sm","key":"2921","mappings":{"default":{"default":"Nordwest- und Südostpfeil"}}},{"category":"Sm","key":"2922","mappings":{"default":{"default":"Nordost- und Südwestpfeil"}}},{"category":"Sm","key":"2923","mappings":{"default":{"default":"Nordwestpfeil mit Haken"}}},{"category":"Sm","key":"2924","mappings":{"default":{"default":"Nordostpfeil mit Haken"}}},{"category":"Sm","key":"2925","mappings":{"default":{"default":"Südostpfeil mit Haken"}}},{"category":"Sm","key":"2926","mappings":{"default":{"default":"Südwestpfeil mit Haken"}}},{"category":"Sm","key":"2927","mappings":{"default":{"default":"Nordwestpfeil und Nordostpfeil"}}},{"category":"Sm","key":"2928","mappings":{"default":{"default":"Nordostpfeil und Südostpfeil"}}},{"category":"Sm","key":"2929","mappings":{"default":{"default":"Südostpfeil und Südwestpfeil"}}},{"category":"Sm","key":"292A","mappings":{"default":{"default":"Südwestpfeil und Nordwestpfeil"}}},{"category":"Sm","key":"292D","mappings":{"default":{"default":"Südostpfeil Kreuzung Nordostpfeil"}}},{"category":"Sm","key":"292E","mappings":{"default":{"default":"Nordostpfeil Kreuzung Südostpfeil"}}},{"category":"Sm","key":"292F","mappings":{"default":{"default":"Fallende Diagonale, die Nordostpfeil kreuzt"}}},{"category":"Sm","key":"2930","mappings":{"default":{"default":"Steigende Diagonale, die Südostpfeil kreuzt"}}},{"category":"Sm","key":"2931","mappings":{"default":{"default":"Nordostpfeilüberquerung Nordwestpfeil"}}},{"category":"Sm","key":"2932","mappings":{"default":{"default":"Nordwestpfeilüberquerung Nordostpfeil"}}},{"category":"Sm","key":"2933","mappings":{"default":{"default":"Wellenpfeil, der direkt nach rechts zeigt"}}},{"category":"Sm","key":"2934","mappings":{"default":{"default":"Pfeil nach rechts, dann nach oben gekrümmt"}}},{"category":"Sm","key":"2935","mappings":{"default":{"default":"Pfeil nach rechts, dann nach unten gekrümmt"}}},{"category":"Sm","key":"2936","mappings":{"default":{"default":"Pfeil nach unten, dann nach links gekrümmt"}}},{"category":"Sm","key":"2937","mappings":{"default":{"default":"Pfeil nach unten, dann nach rechts gekrümmt"}}},{"category":"Sm","key":"2938","mappings":{"default":{"default":"Rechtsseitiger Bogen im Uhrzeigersinn"}}},{"category":"Sm","key":"2939","mappings":{"default":{"default":"Bogen der linken Seite gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"293A","mappings":{"default":{"default":"Pfeil oben gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"293B","mappings":{"default":{"default":"Pfeil unten gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"293C","mappings":{"default":{"default":"Pfeil oben im Uhrzeigersinn mit Minus"}}},{"category":"Sm","key":"293D","mappings":{"default":{"default":"Pfeil oben gegen den Uhrzeigersinn mit Plus"}}},{"category":"Sm","key":"293E","mappings":{"default":{"default":"Rechts unten halbkreisförmig im Uhrzeigersinn"}}},{"category":"Sm","key":"293F","mappings":{"default":{"default":"Linker halbkreisförmiger Pfeil gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"2940","mappings":{"default":{"default":"Geschlossener Kreispfeil gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"2941","mappings":{"default":{"default":"Geschlossener Kreispfeil im Uhrzeigersinn"}}},{"category":"Sm","key":"2942","mappings":{"default":{"default":"Pfeil nach rechts über Kurzer Pfeil nach links"}}},{"category":"Sm","key":"2943","mappings":{"default":{"default":"Pfeil nach links über Kurzer Pfeil nach rechts"}}},{"category":"Sm","key":"2944","mappings":{"default":{"default":"Kurzer Pfeil nach rechts Über Pfeil nach links"}}},{"category":"Sm","key":"2945","mappings":{"default":{"default":"Pfeil nach rechts mit Plus unten"}}},{"category":"Sm","key":"2946","mappings":{"default":{"default":"Pfeil nach links mit Plus unten"}}},{"category":"Sm","key":"2947","mappings":{"default":{"default":"Pfeil nach rechts durch X"}}},{"category":"Sm","key":"2948","mappings":{"default":{"default":"Linker rechter Pfeil durch kleinen Kreis"}}},{"category":"Sm","key":"2949","mappings":{"default":{"default":"Aufwärts zweiköpfiger Pfeil vom kleinen Kreis"}}},{"key":"2970","mappings":{"default":{"default":"round implies"}},"category":"Sm"},{"category":"Sm","key":"2971","mappings":{"default":{"default":"Gleichheitszeichen über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2972","mappings":{"default":{"default":"Tilde-Operator über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2973","mappings":{"default":{"default":"Pfeil nach links über Tilde-Operator"}}},{"category":"Sm","key":"2974","mappings":{"default":{"default":"Pfeil nach rechts über Tilde-Operator"}}},{"category":"Sm","key":"2975","mappings":{"default":{"default":"Pfeil nach rechts fast gleich"}}},{"category":"Sm","key":"2976","mappings":{"default":{"default":"Weniger als oben Pfeil nach links"}}},{"category":"Sm","key":"2977","mappings":{"default":{"default":"Pfeil nach links durch weniger als"}}},{"category":"Sm","key":"2978","mappings":{"default":{"default":"Größer als über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2979","mappings":{"default":{"default":"Untersatz über dem Pfeil nach rechts"}}},{"category":"Sm","key":"297A","mappings":{"default":{"default":"Pfeil nach links durch Teilmenge"}}},{"category":"Sm","key":"297B","mappings":{"default":{"default":"Superset über dem Pfeil nach links"}}},{"category":"Sm","key":"29B3","mappings":{"default":{"default":"Leeres Set mit Pfeil rechts oben"}}},{"category":"Sm","key":"29B4","mappings":{"default":{"default":"Leeres Set mit linkem Pfeil oben"}}},{"category":"Sm","key":"29BD","mappings":{"default":{"default":"Pfeil nach oben durch Kreis"}}},{"category":"Sm","key":"29EA","mappings":{"default":{"default":"Schwarzer Diamant mit Pfeil nach unten"}}},{"category":"Sm","key":"29EC","mappings":{"default":{"default":"Weißer Kreis mit Pfeil nach unten"}}},{"category":"Sm","key":"29ED","mappings":{"default":{"default":"Schwarzer Kreis mit Pfeil nach unten"}}},{"category":"Sm","key":"2A17","mappings":{"default":{"default":"Integral mit Pfeil nach links mit Haken"}}},{"category":"So","key":"2B00","mappings":{"default":{"default":"North East White Arrow"}}},{"category":"So","key":"2B01","mappings":{"default":{"default":"Nordwestlicher weißer Pfeil"}}},{"category":"So","key":"2B02","mappings":{"default":{"default":"Südostweißer Pfeil"}}},{"category":"So","key":"2B03","mappings":{"default":{"default":"Südwestweißer Pfeil"}}},{"category":"So","key":"2B04","mappings":{"default":{"default":"Linker rechter weißer Pfeil"}}},{"category":"So","key":"2B05","mappings":{"default":{"default":"Schwarzer Pfeil nach links"}}},{"category":"So","key":"2B06","mappings":{"default":{"default":"Aufwärts schwarzer Pfeil"}}},{"category":"So","key":"2B07","mappings":{"default":{"default":"Abwärts schwarzer Pfeil"}}},{"category":"So","key":"2B08","mappings":{"default":{"default":"Schwarzer Nordostpfeil"}}},{"category":"So","key":"2B09","mappings":{"default":{"default":"Nordwestlicher schwarzer Pfeil"}}},{"category":"So","key":"2B0A","mappings":{"default":{"default":"Schwarzer Südostpfeil"}}},{"category":"So","key":"2B0B","mappings":{"default":{"default":"Südwestlicher schwarzer Pfeil"}}},{"category":"So","key":"2B0C","mappings":{"default":{"default":"Linker rechter schwarzer Pfeil"}}},{"category":"So","key":"2B0D","mappings":{"default":{"default":"Schwarzer Pfeil nach unten"}}},{"category":"So","key":"2B0E","mappings":{"default":{"default":"Pfeil nach rechts mit Spitze nach unten"}}},{"category":"So","key":"2B0F","mappings":{"default":{"default":"Pfeil nach rechts mit Spitze nach oben"}}},{"category":"So","key":"2B10","mappings":{"default":{"default":"Pfeil nach links mit Spitze nach unten"}}},{"category":"So","key":"2B11","mappings":{"default":{"default":"Pfeil nach links mit Spitze nach oben"}}},{"category":"Sm","key":"2B30","mappings":{"default":{"default":"Linker Pfeil mit kleinem Kreis"}}},{"category":"Sm","key":"2B31","mappings":{"default":{"default":"Drei nach links gerichtete Pfeile"}}},{"category":"Sm","key":"2B32","mappings":{"default":{"default":"Linker Pfeil mit Circled Plus"}}},{"category":"Sm","key":"2B33","mappings":{"default":{"default":"Langer nach links gerichteter Squiggle-Pfeil"}}},{"category":"Sm","key":"2B34","mappings":{"default":{"default":"Pfeil nach links mit senkrechtem Strich"}}},{"category":"Sm","key":"2B35","mappings":{"default":{"default":"Doppelpfeil nach links mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2B36","mappings":{"default":{"default":"Doppelpfeil nach links von der Bar"}}},{"category":"Sm","key":"2B37","mappings":{"default":{"default":"Pfeil nach links mit zwei Köpfen"}}},{"category":"Sm","key":"2B38","mappings":{"default":{"default":"Pfeil nach links mit gepunktetem Stamm"}}},{"category":"Sm","key":"2B39","mappings":{"default":{"default":"Pfeil nach links mit Schwanz mit vertikalem Strich"}}},{"category":"Sm","key":"2B3A","mappings":{"default":{"default":"Pfeil nach links mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2B3B","mappings":{"default":{"default":"Nach links gerichteter zweiköpfiger Pfeil mit Schwanz"}}},{"category":"Sm","key":"2B3C","mappings":{"default":{"default":"Nach links gerichteter zweiköpfiger Pfeil mit Schwanz mit vertikalem Strich"}}},{"category":"Sm","key":"2B3D","mappings":{"default":{"default":"Nach links gerichteter zweiköpfiger Pfeil mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2B3E","mappings":{"default":{"default":"Pfeil nach links durch X"}}},{"category":"Sm","key":"2B3F","mappings":{"default":{"default":"Wellenpfeil, der direkt nach links zeigt"}}},{"category":"Sm","key":"2B40","mappings":{"default":{"default":"Gleichheitszeichen über dem Pfeil nach links"}}},{"category":"Sm","key":"2B41","mappings":{"default":{"default":"Reverse-Tilde-Operator Über Linkspfeil"}}},{"category":"Sm","key":"2B42","mappings":{"default":{"default":"Pfeil nach links über der Rückseite fast gleich"}}},{"category":"Sm","key":"2B43","mappings":{"default":{"default":"Pfeil nach rechts durch mehr als"}}},{"category":"Sm","key":"2B44","mappings":{"default":{"default":"Pfeil nach rechts durch Superset"}}},{"category":"So","key":"2B45","mappings":{"default":{"default":"Vierfachpfeil nach links"}}},{"category":"So","key":"2B46","mappings":{"default":{"default":"Vierfachpfeil nach rechts"}}},{"category":"Sm","key":"2B47","mappings":{"default":{"default":"Reverse-Tilde-Operator über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2B48","mappings":{"default":{"default":"Pfeil nach rechts oben fast gleich"}}},{"category":"Sm","key":"2B49","mappings":{"default":{"default":"Tilde-Operator über dem Pfeil nach links"}}},{"category":"Sm","key":"2B4A","mappings":{"default":{"default":"Pfeil nach links oben fast gleich"}}},{"category":"Sm","key":"2B4B","mappings":{"default":{"default":"Pfeil nach links über Reverse-Tilde-Operator"}}},{"category":"Sm","key":"2B4C","mappings":{"default":{"default":"Pfeil nach rechts über Reverse-Tilde-Operator"}}},{"category":"Sm","key":"FFE9","mappings":{"default":{"default":"Halbbreiter Pfeil nach links"}}},{"category":"Sm","key":"FFEA","mappings":{"default":{"default":"Halbbreiter Pfeil nach oben"}}},{"category":"Sm","key":"FFEB","mappings":{"default":{"default":"Halbbreiter Pfeil nach rechts"}}},{"category":"Sm","key":"FFEC","mappings":{"default":{"default":"Halbbreiter Pfeil nach unten"}}}]
 ,
-"en/latin-mathfonts-bold-script.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"bold script capital a","short":"bold script cap a"},"mathspeak":{"default":"bold script upper A"}},"key":"1D4D0"},{"category":"Lu","mappings":{"default":{"default":"bold script capital b","short":"bold script cap b"},"mathspeak":{"default":"bold script upper B"}},"key":"1D4D1"},{"category":"Lu","mappings":{"default":{"default":"bold script capital c","short":"bold script cap c"},"mathspeak":{"default":"bold script upper C"}},"key":"1D4D2"},{"category":"Lu","mappings":{"default":{"default":"bold script capital d","short":"bold script cap d"},"mathspeak":{"default":"bold script upper D"}},"key":"1D4D3"},{"category":"Lu","mappings":{"default":{"default":"bold script capital e","short":"bold script cap e"},"mathspeak":{"default":"bold script upper E"}},"key":"1D4D4"},{"category":"Lu","mappings":{"default":{"default":"bold script capital f","short":"bold script cap f"},"mathspeak":{"default":"bold script upper F"}},"key":"1D4D5"},{"category":"Lu","mappings":{"default":{"default":"bold script capital g","short":"bold script cap g"},"mathspeak":{"default":"bold script upper G"}},"key":"1D4D6"},{"category":"Lu","mappings":{"default":{"default":"bold script capital h","short":"bold script cap h"},"mathspeak":{"default":"bold script upper H"}},"key":"1D4D7"},{"category":"Lu","mappings":{"default":{"default":"bold script capital i","short":"bold script cap i"},"mathspeak":{"default":"bold script upper I"}},"key":"1D4D8"},{"category":"Lu","mappings":{"default":{"default":"bold script capital j","short":"bold script cap j"},"mathspeak":{"default":"bold script upper J"}},"key":"1D4D9"},{"category":"Lu","mappings":{"default":{"default":"bold script capital k","short":"bold script cap k"},"mathspeak":{"default":"bold script upper K"}},"key":"1D4DA"},{"category":"Lu","mappings":{"default":{"default":"bold script capital l","short":"bold script cap l"},"mathspeak":{"default":"bold script upper L"}},"key":"1D4DB"},{"category":"Lu","mappings":{"default":{"default":"bold script capital m","short":"bold script cap m"},"mathspeak":{"default":"bold script upper M"}},"key":"1D4DC"},{"category":"Lu","mappings":{"default":{"default":"bold script capital n","short":"bold script cap n"},"mathspeak":{"default":"bold script upper N"}},"key":"1D4DD"},{"category":"Lu","mappings":{"default":{"default":"bold script capital o","short":"bold script cap o"},"mathspeak":{"default":"bold script upper O"}},"key":"1D4DE"},{"category":"Lu","mappings":{"default":{"default":"bold script capital p","short":"bold script cap p"},"mathspeak":{"default":"bold script upper P"}},"key":"1D4DF"},{"category":"Lu","mappings":{"default":{"default":"bold script capital q","short":"bold script cap q"},"mathspeak":{"default":"bold script upper Q"}},"key":"1D4E0"},{"category":"Lu","mappings":{"default":{"default":"bold script capital r","short":"bold script cap r"},"mathspeak":{"default":"bold script upper R"}},"key":"1D4E1"},{"category":"Lu","mappings":{"default":{"default":"bold script capital s","short":"bold script cap s"},"mathspeak":{"default":"bold script upper S"}},"key":"1D4E2"},{"category":"Lu","mappings":{"default":{"default":"bold script capital t","short":"bold script cap t"},"mathspeak":{"default":"bold script upper T"}},"key":"1D4E3"},{"category":"Lu","mappings":{"default":{"default":"bold script capital u","short":"bold script cap u"},"mathspeak":{"default":"bold script upper U"}},"key":"1D4E4"},{"category":"Lu","mappings":{"default":{"default":"bold script capital v","short":"bold script cap v"},"mathspeak":{"default":"bold script upper V"}},"key":"1D4E5"},{"category":"Lu","mappings":{"default":{"default":"bold script capital w","short":"bold script cap w"},"mathspeak":{"default":"bold script upper W"}},"key":"1D4E6"},{"category":"Lu","mappings":{"default":{"default":"bold script capital x","short":"bold script cap x"},"mathspeak":{"default":"bold script upper X"}},"key":"1D4E7"},{"category":"Lu","mappings":{"default":{"default":"bold script capital y","short":"bold script cap y"},"mathspeak":{"default":"bold script upper Y"}},"key":"1D4E8"},{"category":"Lu","mappings":{"default":{"default":"bold script capital z","short":"bold script cap z"},"mathspeak":{"default":"bold script upper Z"}},"key":"1D4E9"},{"category":"Ll","mappings":{"default":{"default":"bold script small a","short":"bold script a"}},"key":"1D4EA"},{"category":"Ll","mappings":{"default":{"default":"bold script small b","short":"bold script b"}},"key":"1D4EB"},{"category":"Ll","mappings":{"default":{"default":"bold script small c","short":"bold script c"}},"key":"1D4EC"},{"category":"Ll","mappings":{"default":{"default":"bold script small d","short":"bold script d"}},"key":"1D4ED"},{"category":"Ll","mappings":{"default":{"default":"bold script small e","short":"bold script e"}},"key":"1D4EE"},{"category":"Ll","mappings":{"default":{"default":"bold script small f","short":"bold script f"}},"key":"1D4EF"},{"category":"Ll","mappings":{"default":{"default":"bold script small g","short":"bold script g"}},"key":"1D4F0"},{"category":"Ll","mappings":{"default":{"default":"bold script small h","short":"bold script h"}},"key":"1D4F1"},{"category":"Ll","mappings":{"default":{"default":"bold script small i","short":"bold script i"}},"key":"1D4F2"},{"category":"Ll","mappings":{"default":{"default":"bold script small j","short":"bold script j"}},"key":"1D4F3"},{"category":"Ll","mappings":{"default":{"default":"bold script small k","short":"bold script k"}},"key":"1D4F4"},{"category":"Ll","mappings":{"default":{"default":"bold script small l","short":"bold script l"}},"key":"1D4F5"},{"category":"Ll","mappings":{"default":{"default":"bold script small m","short":"bold script m"}},"key":"1D4F6"},{"category":"Ll","mappings":{"default":{"default":"bold script small n","short":"bold script n"}},"key":"1D4F7"},{"category":"Ll","mappings":{"default":{"default":"bold script small o","short":"bold script o"}},"key":"1D4F8"},{"category":"Ll","mappings":{"default":{"default":"bold script small p","short":"bold script p"}},"key":"1D4F9"},{"category":"Ll","mappings":{"default":{"default":"bold script small q","short":"bold script q"}},"key":"1D4FA"},{"category":"Ll","mappings":{"default":{"default":"bold script small r","short":"bold script r"}},"key":"1D4FB"},{"category":"Ll","mappings":{"default":{"default":"bold script small s","short":"bold script s"}},"key":"1D4FC"},{"category":"Ll","mappings":{"default":{"default":"bold script small t","short":"bold script t"}},"key":"1D4FD"},{"category":"Ll","mappings":{"default":{"default":"bold script small u","short":"bold script u"}},"key":"1D4FE"},{"category":"Ll","mappings":{"default":{"default":"bold script small v","short":"bold script v"}},"key":"1D4FF"},{"category":"Ll","mappings":{"default":{"default":"bold script small w","short":"bold script w"}},"key":"1D500"},{"category":"Ll","mappings":{"default":{"default":"bold script small x","short":"bold script x"}},"key":"1D501"},{"category":"Ll","mappings":{"default":{"default":"bold script small y","short":"bold script y"}},"key":"1D502"},{"category":"Ll","mappings":{"default":{"default":"bold script small z","short":"bold script z"}},"key":"1D503"}]
+"de/symbols/math_characters.js": 
+[{"locale":"de"},{"category":"Ll","key":"2113","mappings":{"default":{"default":"Skript klein L"}}},{"category":"Sm","key":"2118","mappings":{"default":{"default":"Skript groß P"}}},{"category":"Ll","key":"213C","mappings":{"default":{"default":"pi mit Doppelstrich"}}},{"category":"Ll","key":"213D","mappings":{"default":{"default":"gamma mit Doppelstrich"}}},{"category":"Lu","key":"213E","mappings":{"default":{"default":"groß Gamma mit Doppelstrich"}}},{"category":"Lu","key":"213F","mappings":{"default":{"default":"groß Pi mit Doppelstrich"}}},{"category":"Sm","key":"2140","mappings":{"default":{"default":"Summenzeichen mit Doppelstrich"}}},{"category":"Lu","key":"2145","mappings":{"default":{"default":"groß D kursiv mit Doppelstrich"}}},{"category":"Ll","mappings":{"default":{"default":"d kursiv mit Doppelstrich"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"e kursiv mit Doppelstrich"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"i kursiv mit Doppelstrich"}},"key":"2148"},{"category":"Ll","key":"2149","mappings":{"default":{"default":"j kursiv mit Doppelstrich"}}},{"category":"Ll","key":"1D6A4","mappings":{"default":{"default":"punktloses i kursiv"}}},{"category":"Ll","key":"1D6A5","mappings":{"default":{"default":"punktloses j kursiv"}}}]
 ,
-"en/latin-mathfonts-bold.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"bold capital a","short":"bold cap a"},"mathspeak":{"default":"bold upper A"}},"key":"1D400"},{"category":"Lu","mappings":{"default":{"default":"bold capital b","short":"bold cap b"},"mathspeak":{"default":"bold upper B"}},"key":"1D401"},{"category":"Lu","mappings":{"default":{"default":"bold capital c","short":"bold cap c"},"mathspeak":{"default":"bold upper C"}},"key":"1D402"},{"category":"Lu","mappings":{"default":{"default":"bold capital d","short":"bold cap d"},"mathspeak":{"default":"bold upper D"}},"key":"1D403"},{"category":"Lu","mappings":{"default":{"default":"bold capital e","short":"bold cap e"},"mathspeak":{"default":"bold upper E"}},"key":"1D404"},{"category":"Lu","mappings":{"default":{"default":"bold capital f","short":"bold cap f"},"mathspeak":{"default":"bold upper F"}},"key":"1D405"},{"category":"Lu","mappings":{"default":{"default":"bold capital g","short":"bold cap g"},"mathspeak":{"default":"bold upper G"}},"key":"1D406"},{"category":"Lu","mappings":{"default":{"default":"bold capital h","short":"bold cap h"},"mathspeak":{"default":"bold upper H"}},"key":"1D407"},{"category":"Lu","mappings":{"default":{"default":"bold capital i","short":"bold cap i"},"mathspeak":{"default":"bold upper I"}},"key":"1D408"},{"category":"Lu","mappings":{"default":{"default":"bold capital j","short":"bold cap j"},"mathspeak":{"default":"bold upper J"}},"key":"1D409"},{"category":"Lu","mappings":{"default":{"default":"bold capital k","short":"bold cap k"},"mathspeak":{"default":"bold upper K"}},"key":"1D40A"},{"category":"Lu","mappings":{"default":{"default":"bold capital l","short":"bold cap l"},"mathspeak":{"default":"bold upper L"}},"key":"1D40B"},{"category":"Lu","mappings":{"default":{"default":"bold capital m","short":"bold cap m"},"mathspeak":{"default":"bold upper M"}},"key":"1D40C"},{"category":"Lu","mappings":{"default":{"default":"bold capital n","short":"bold cap n"},"mathspeak":{"default":"bold upper N"}},"key":"1D40D"},{"category":"Lu","mappings":{"default":{"default":"bold capital o","short":"bold cap o"},"mathspeak":{"default":"bold upper O"}},"key":"1D40E"},{"category":"Lu","mappings":{"default":{"default":"bold capital p","short":"bold cap p"},"mathspeak":{"default":"bold upper P"}},"key":"1D40F"},{"category":"Lu","mappings":{"default":{"default":"bold capital q","short":"bold cap q"},"mathspeak":{"default":"bold upper Q"}},"key":"1D410"},{"category":"Lu","mappings":{"default":{"default":"bold capital r","short":"bold cap r"},"mathspeak":{"default":"bold upper R"}},"key":"1D411"},{"category":"Lu","mappings":{"default":{"default":"bold capital s","short":"bold cap s"},"mathspeak":{"default":"bold upper S"}},"key":"1D412"},{"category":"Lu","mappings":{"default":{"default":"bold capital t","short":"bold cap t"},"mathspeak":{"default":"bold upper T"}},"key":"1D413"},{"category":"Lu","mappings":{"default":{"default":"bold capital u","short":"bold cap u"},"mathspeak":{"default":"bold upper U"}},"key":"1D414"},{"category":"Lu","mappings":{"default":{"default":"bold capital v","short":"bold cap v"},"mathspeak":{"default":"bold upper V"}},"key":"1D415"},{"category":"Lu","mappings":{"default":{"default":"bold capital w","short":"bold cap w"},"mathspeak":{"default":"bold upper W"}},"key":"1D416"},{"category":"Lu","mappings":{"default":{"default":"bold capital x","short":"bold cap x"},"mathspeak":{"default":"bold upper X"}},"key":"1D417"},{"category":"Lu","mappings":{"default":{"default":"bold capital y","short":"bold cap y"},"mathspeak":{"default":"bold upper Y"}},"key":"1D418"},{"category":"Lu","mappings":{"default":{"default":"bold capital z","short":"bold cap z"},"mathspeak":{"default":"bold upper Z"}},"key":"1D419"},{"category":"Ll","mappings":{"default":{"default":"bold small a","short":"bold a"}},"key":"1D41A"},{"category":"Ll","mappings":{"default":{"default":"bold small b","short":"bold b"}},"key":"1D41B"},{"category":"Ll","mappings":{"default":{"default":"bold small c","short":"bold c"}},"key":"1D41C"},{"category":"Ll","mappings":{"default":{"default":"bold small d","short":"bold d"}},"key":"1D41D"},{"category":"Ll","mappings":{"default":{"default":"bold small e","short":"bold e"}},"key":"1D41E"},{"category":"Ll","mappings":{"default":{"default":"bold small f","short":"bold f"}},"key":"1D41F"},{"category":"Ll","mappings":{"default":{"default":"bold small g","short":"bold g"}},"key":"1D420"},{"category":"Ll","mappings":{"default":{"default":"bold small h","short":"bold h"}},"key":"1D421"},{"category":"Ll","mappings":{"default":{"default":"bold small i","short":"bold i"}},"key":"1D422"},{"category":"Ll","mappings":{"default":{"default":"bold small j","short":"bold j"}},"key":"1D423"},{"category":"Ll","mappings":{"default":{"default":"bold small k","short":"bold k"}},"key":"1D424"},{"category":"Ll","mappings":{"default":{"default":"bold small l","short":"bold l"}},"key":"1D425"},{"category":"Ll","mappings":{"default":{"default":"bold small m","short":"bold m"}},"key":"1D426"},{"category":"Ll","mappings":{"default":{"default":"bold small n","short":"bold n"}},"key":"1D427"},{"category":"Ll","mappings":{"default":{"default":"bold small o","short":"bold o"}},"key":"1D428"},{"category":"Ll","mappings":{"default":{"default":"bold small p","short":"bold p"}},"key":"1D429"},{"category":"Ll","mappings":{"default":{"default":"bold small q","short":"bold q"}},"key":"1D42A"},{"category":"Ll","mappings":{"default":{"default":"bold small r","short":"bold r"}},"key":"1D42B"},{"category":"Ll","mappings":{"default":{"default":"bold small s","short":"bold s"}},"key":"1D42C"},{"category":"Ll","mappings":{"default":{"default":"bold small t","short":"bold t"}},"key":"1D42D"},{"category":"Ll","mappings":{"default":{"default":"bold small u","short":"bold u"}},"key":"1D42E"},{"category":"Ll","mappings":{"default":{"default":"bold small v","short":"bold v"}},"key":"1D42F"},{"category":"Ll","mappings":{"default":{"default":"bold small w","short":"bold w"}},"key":"1D430"},{"category":"Ll","mappings":{"default":{"default":"bold small x","short":"bold x"}},"key":"1D431"},{"category":"Ll","mappings":{"default":{"default":"bold small y","short":"bold y"}},"key":"1D432"},{"category":"Ll","mappings":{"default":{"default":"bold small z","short":"bold z"}},"key":"1D433"}]
+"de/symbols/math_delimiters.js": 
+[{"locale":"de"},{"key":"0028","mappings":{"default":{"default":"Klammer auf"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"Klammer zu"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"eckige Klammer auf"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"eckige Klammer zu"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"geschwungene Klammer auf"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"geschwungene Klammer zu"}},"category":"Pe"},{"category":"Ps","key":"2045","mappings":{"default":{"default":"Linke eckige Klammer mit Stachel"}}},{"category":"Pe","key":"2046","mappings":{"default":{"default":"Rechte eckige Klammer mit Stachel"}}},{"category":"Sm","key":"2308","mappings":{"default":{"default":"linke Aufrundungsklammer"}}},{"category":"Sm","key":"2309","mappings":{"default":{"default":"rechte Aufrundungsklammer"}}},{"category":"Sm","key":"230A","mappings":{"default":{"default":"linke Abrundungsklammer"}}},{"category":"Sm","key":"230B","mappings":{"default":{"default":"rechter Abrundungsklammer"}}},{"category":"So","key":"230C","mappings":{"default":{"default":"unterer rechter Abschnitt"}}},{"category":"So","key":"230D","mappings":{"default":{"default":"Unterer linker Abschnitt"}}},{"category":"So","key":"230E","mappings":{"default":{"default":"Oberer rechter Abschnitt"}}},{"category":"So","key":"230F","mappings":{"default":{"default":"Oberer linker Abschnitt"}}},{"category":"So","key":"231C","mappings":{"default":{"default":"Obere linke Ecke"}}},{"category":"So","key":"231D","mappings":{"default":{"default":"Obere rechte Ecke"}}},{"category":"So","key":"231E","mappings":{"default":{"default":"Untere linke Ecke"}}},{"category":"So","key":"231F","mappings":{"default":{"default":"Rechte untere Ecke"}}},{"category":"Sm","key":"2320","mappings":{"default":{"default":"Obere Hälfte eines Integrals"}}},{"category":"Sm","key":"2321","mappings":{"default":{"default":"Untere Hälfte eines Integrals"}}},{"category":"Ps","key":"2329","mappings":{"default":{"default":"Linke spitze Klammer"}}},{"category":"Pe","key":"232A","mappings":{"default":{"default":"Rechte spitze Klammer"}}},{"category":"Sm","key":"239B","mappings":{"default":{"default":"Oberer Teil der linken Klammer"}}},{"category":"Sm","key":"239C","mappings":{"default":{"default":"Linke Klammerverlängerung"}}},{"category":"Sm","key":"239D","mappings":{"default":{"default":"Unterer Teil der linken Klammer"}}},{"category":"Sm","key":"239E","mappings":{"default":{"default":"Oberer Teil der rechten Klammer"}}},{"category":"Sm","key":"239F","mappings":{"default":{"default":"Rechte Klammerverlängerung"}}},{"category":"Sm","key":"23A0","mappings":{"default":{"default":"Unterer Teil der rechten Klammer"}}},{"category":"Sm","key":"23A1","mappings":{"default":{"default":"Oberer Teil der linken eckigen Klammer"}}},{"category":"Sm","key":"23A2","mappings":{"default":{"default":"Linke eckige Klammerverlängerung"}}},{"category":"Sm","key":"23A3","mappings":{"default":{"default":"unterer Teil der linken eckigen Klammer"}}},{"category":"Sm","key":"23A4","mappings":{"default":{"default":"Oberer Teil der rechten eckigen Klammer"}}},{"category":"Sm","key":"23A5","mappings":{"default":{"default":"Rechte eckige Klammerverlängerung"}}},{"category":"Sm","key":"23A6","mappings":{"default":{"default":"unterer Teil der rechten eckigen Klammer"}}},{"category":"Sm","key":"23A7","mappings":{"default":{"default":"oberer Teil der linken geschweiften Klammer"}}},{"category":"Sm","key":"23A8","mappings":{"default":{"default":"Mittelstück der linken geschweiften Klammer"}}},{"category":"Sm","key":"23A9","mappings":{"default":{"default":"unterer Teil der linken geschweiften Klammer"}}},{"category":"Sm","key":"23AA","mappings":{"default":{"default":"Zwischenteil einer geschweiften Klammer"}}},{"category":"Sm","key":"23AB","mappings":{"default":{"default":"oberer Teil der rechten geschweiften Klammer"}}},{"category":"Sm","key":"23AC","mappings":{"default":{"default":"Mittelstück der rechten geschweiften Klammer"}}},{"category":"Sm","key":"23AD","mappings":{"default":{"default":"unterer Teil der rechten geschweiften Klammer"}}},{"category":"Sm","key":"23AE","mappings":{"default":{"default":"Mittelteil eines Integrals"}}},{"category":"Sm","key":"23AF","mappings":{"default":{"default":"Erweiterung einer Querlinie"}}},{"category":"Sm","key":"23B0","mappings":{"default":{"default":"Geschweiftes Klammerteil oben links oder rechts unten"}}},{"category":"Sm","key":"23B1","mappings":{"default":{"default":"Geschweiftes Klammerteil oben rechts oder unten links"}}},{"category":"Sm","key":"23B2","mappings":{"default":{"default":"Oberer Teil einer Summe"}}},{"category":"Sm","key":"23B3","mappings":{"default":{"default":"Unterer Teil einer Summe"}}},{"key":"23B4","mappings":{"default":{"default":"Obere eckige Klammer"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"Untere eckige Klammer"}},"category":"So"},{"category":"So","key":"23B6","mappings":{"default":{"default":"Untere eckige Klammer auf oberer eckiger Klammer"}}},{"category":"So","key":"23B7","mappings":{"default":{"default":"Unterer Teil des Radikalsymbols"}}},{"category":"So","key":"23B8","mappings":{"default":{"default":"Linke vertikale Boxlinie"}}},{"category":"So","key":"23B9","mappings":{"default":{"default":"Rechte vertikale Boxlinie"}}},{"category":"Sm","key":"23DC","mappings":{"default":{"default":"Obere Klammer"}}},{"category":"Sm","key":"23DD","mappings":{"default":{"default":"Untere Klammer"}}},{"category":"Sm","key":"23DE","mappings":{"default":{"default":"Obere geschweifte Klammer"}}},{"category":"Sm","key":"23DF","mappings":{"default":{"default":"Untere geschweifte Klammer"}}},{"category":"Sm","key":"23E0","mappings":{"default":{"default":"Obere eckige Klammer"}}},{"category":"Sm","key":"23E1","mappings":{"default":{"default":"Untere eckige Klammer"}}},{"category":"Ps","key":"2768","mappings":{"default":{"default":"Mittlere linke Klammerverzierung"}}},{"category":"Pe","key":"2769","mappings":{"default":{"default":"Mittlere rechte Klammerverzierung"}}},{"category":"Ps","key":"276A","mappings":{"default":{"default":"Mittlere abgeflachte linke Klammerverzierung"}}},{"category":"Pe","key":"276B","mappings":{"default":{"default":"Mittlere abgeflachte rechte Klammerverzierung"}}},{"category":"Ps","key":"276C","mappings":{"default":{"default":"Mittlere nach links weisende Winkelhalterung"}}},{"category":"Pe","key":"276D","mappings":{"default":{"default":"Mittlere, rechtwinklige Winkelhalterung"}}},{"category":"Ps","key":"276E","mappings":{"default":{"default":"Schwere nach links weisende Anführungszeichen-Verzierung"}}},{"category":"Pe","key":"276F","mappings":{"default":{"default":"Schwere nach rechts zeigenden Winkel-Anführungszeichen-Verzierung"}}},{"category":"Ps","key":"2770","mappings":{"default":{"default":"Schwere nach links weisende Winkelhalterung"}}},{"category":"Pe","key":"2771","mappings":{"default":{"default":"Schwere, nach rechts weisende Winkelhalterung"}}},{"category":"Ps","key":"2772","mappings":{"default":{"default":"Leichte linke Schildpatt Bracket Ornament"}}},{"category":"Pe","key":"2773","mappings":{"default":{"default":"Leichte rechte Schildpatt-Klammerverzierung"}}},{"category":"Ps","key":"2774","mappings":{"default":{"default":"Mittlere linke geschweifte Klammerverzierung"}}},{"category":"Pe","key":"2775","mappings":{"default":{"default":"Mittlere rechte geschweifte Klammerverzierung"}}},{"category":"Ps","key":"27C5","mappings":{"default":{"default":"Linker S-förmiger Taschenbegrenzer"}}},{"category":"Pe","key":"27C6","mappings":{"default":{"default":"rechter S-förmiger Taschenbegrenzer"}}},{"category":"Ps","key":"27E6","mappings":{"default":{"default":"Mathematische linke weiße eckige Klammer"}}},{"category":"Pe","key":"27E7","mappings":{"default":{"default":"Mathematische rechte weiße eckige Klammer"}}},{"category":"Ps","key":"27E8","mappings":{"default":{"default":"Mathematische linke Winkelklammer"}}},{"category":"Pe","key":"27E9","mappings":{"default":{"default":"Mathematische rechtwinklige Klammer"}}},{"category":"Ps","key":"27EA","mappings":{"default":{"default":"Mathematische linke doppelte Winkelklammer"}}},{"category":"Pe","key":"27EB","mappings":{"default":{"default":"Mathematische rechtwinklige eckige Klammer"}}},{"category":"Ps","key":"27EC","mappings":{"default":{"default":"Mathematische linke Schildkrötenpanzerhalterung"}}},{"category":"Pe","key":"27ED","mappings":{"default":{"default":"Mathematische rechte weiße Schildpatt-Klammer"}}},{"category":"Ps","key":"27EE","mappings":{"default":{"default":"Mathematische linke abgeflachte Klammer"}}},{"category":"Pe","key":"27EF","mappings":{"default":{"default":"Mathematische rechte abgeflachte Klammer"}}},{"category":"Ps","key":"2983","mappings":{"default":{"default":"Linke weiße geschweifte Klammer"}}},{"category":"Pe","key":"2984","mappings":{"default":{"default":"Rechte weiße geschweifte Klammer"}}},{"category":"Ps","key":"2985","mappings":{"default":{"default":"Linke weiße Klammer"}}},{"category":"Pe","key":"2986","mappings":{"default":{"default":"Rechte weiße Klammer"}}},{"category":"Ps","key":"2987","mappings":{"default":{"default":"Z-Notation Linke Bildklammer"}}},{"category":"Pe","key":"2988","mappings":{"default":{"default":"Z-Notation rechte Bildklammer"}}},{"category":"Ps","key":"2989","mappings":{"default":{"default":"Z-Notation Linke Klammer"}}},{"category":"Pe","key":"298A","mappings":{"default":{"default":"Z Notation Right Binding Bracket"}}},{"category":"Ps","key":"298B","mappings":{"default":{"default":"Linke eckige Klammer mit Unterlenker"}}},{"category":"Pe","key":"298C","mappings":{"default":{"default":"Rechte eckige Klammer mit Unterlenker"}}},{"category":"Ps","key":"298D","mappings":{"default":{"default":"Linke eckige Klammer mit Häkchen in der oberen Ecke"}}},{"category":"Pe","key":"298E","mappings":{"default":{"default":"Rechte eckige Klammer mit Tick in der unteren Ecke"}}},{"category":"Ps","key":"298F","mappings":{"default":{"default":"Linke eckige Klammer mit Tick in der unteren Ecke"}}},{"category":"Pe","key":"2990","mappings":{"default":{"default":"Rechte eckige Klammer mit Tick in der oberen Ecke"}}},{"category":"Ps","key":"2991","mappings":{"default":{"default":"Linke Winkelklammer mit Punkt"}}},{"category":"Pe","key":"2992","mappings":{"default":{"default":"Rechtwinklige Klammer mit Punkt"}}},{"category":"Ps","key":"2993","mappings":{"default":{"default":"Linker Bogen weniger als Halterung"}}},{"category":"Pe","key":"2994","mappings":{"default":{"default":"rechter Bogen größer als Halterung"}}},{"category":"Ps","key":"2995","mappings":{"default":{"default":"Doppelter linker Bogen größer als Halterung"}}},{"category":"Pe","key":"2996","mappings":{"default":{"default":"Doppelter rechter Bogen weniger als Halterung"}}},{"category":"Ps","key":"2997","mappings":{"default":{"default":"Linke schwarze Schildkrötenhalterung"}}},{"category":"Pe","key":"2998","mappings":{"default":{"default":"Rechte schwarze Schildpatt-Klammer"}}},{"category":"Ps","key":"29D8","mappings":{"default":{"default":"Linker wackeliger Zaun"}}},{"category":"Pe","key":"29D9","mappings":{"default":{"default":"rechter wackeliger Zaun"}}},{"category":"Ps","key":"29DA","mappings":{"default":{"default":"Linker doppelter wackeliger Zaun"}}},{"category":"Pe","key":"29DB","mappings":{"default":{"default":"rechter doppelter wackeliger Zaun"}}},{"category":"Ps","key":"29FC","mappings":{"default":{"default":"Nach links zeigender gebogener Winkelhalter"}}},{"category":"Pe","key":"29FD","mappings":{"default":{"default":"Nach rechts zeigender gebogener Winkelhalter"}}},{"category":"Ps","key":"2E22","mappings":{"default":{"default":"Obere linke halbe Halterung"}}},{"category":"Pe","key":"2E23","mappings":{"default":{"default":"Obere rechte halbe Klammer"}}},{"category":"Ps","key":"2E24","mappings":{"default":{"default":"Linke halbe halterung unten"}}},{"category":"Pe","key":"2E25","mappings":{"default":{"default":"Untere rechte halbe Halterung"}}},{"category":"Ps","key":"2E26","mappings":{"default":{"default":"U-Halterung links seitlich"}}},{"category":"Pe","key":"2E27","mappings":{"default":{"default":"U-Halterung rechts seitlich"}}},{"category":"Ps","key":"2E28","mappings":{"default":{"default":"Linke doppelte Klammer"}}},{"category":"Pe","key":"2E29","mappings":{"default":{"default":"Rechte doppelte Klammer"}}},{"category":"Ps","key":"3008","mappings":{"default":{"default":"Linke Winkelklammer"}}},{"category":"Pe","key":"3009","mappings":{"default":{"default":"Rechtwinklige Halterung"}}},{"category":"Ps","key":"300A","mappings":{"default":{"default":"Linke Doppelwinkelhalterung"}}},{"category":"Pe","key":"300B","mappings":{"default":{"default":"Rechte Doppelwinkelhalterung"}}},{"category":"Ps","key":"300C","mappings":{"default":{"default":"Linke Eckklammer"}}},{"category":"Pe","key":"300D","mappings":{"default":{"default":"Rechte Eckhalterung"}}},{"category":"Ps","key":"300E","mappings":{"default":{"default":"Linke weiße Eckhalterung"}}},{"category":"Pe","key":"300F","mappings":{"default":{"default":"Rechte weiße Eckhalterung"}}},{"category":"Ps","key":"3010","mappings":{"default":{"default":"Linke schwarze linsenförmige Halterung"}}},{"category":"Pe","key":"3011","mappings":{"default":{"default":"Rechte schwarze linsenförmige Halterung"}}},{"category":"Ps","key":"3014","mappings":{"default":{"default":"Linke Schildpatt-Klammer"}}},{"category":"Pe","key":"3015","mappings":{"default":{"default":"Rechte Schildpattlasche"}}},{"category":"Ps","key":"3016","mappings":{"default":{"default":"Linke weiße linsenförmige Halterung"}}},{"category":"Pe","key":"3017","mappings":{"default":{"default":"Rechte weiße linsenförmige Halterung"}}},{"category":"Ps","key":"3018","mappings":{"default":{"default":"Linke weiße Schildpatt-Klammer"}}},{"category":"Pe","key":"3019","mappings":{"default":{"default":"Rechte weiße Schildpatt-Klammer"}}},{"category":"Ps","key":"301A","mappings":{"default":{"default":"Linke weiße eckige Klammer"}}},{"category":"Pe","key":"301B","mappings":{"default":{"default":"Rechte weiße eckige Klammer"}}},{"category":"Ps","key":"301D","mappings":{"default":{"default":"Doppelte Anführungszeichen in umgekehrter Reihenfolge"}}},{"category":"Pe","key":"301E","mappings":{"default":{"default":"Doppelte Anführungszeichen"}}},{"category":"Pe","key":"301F","mappings":{"default":{"default":"Niedriges doppeltes Prime-Anführungszeichen"}}},{"category":"Ps","key":"FD3E","mappings":{"default":{"default":"Verzierte linke Klammer"}}},{"category":"Pe","key":"FD3F","mappings":{"default":{"default":"Verzierte rechte Klammer"}}},{"category":"Ps","key":"FE17","mappings":{"default":{"default":"Präsentationsformular für vertikale linke weiße linsenförmige Halterung"}}},{"category":"Pe","key":"FE18","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige linsenförmige Halterung"}}},{"category":"Ps","key":"FE35","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Klammer"}}},{"category":"Pe","key":"FE36","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte Klammer"}}},{"category":"Ps","key":"FE37","mappings":{"default":{"default":"Präsentationsformular für vertikale linke geschweifte Klammer"}}},{"category":"Pe","key":"FE38","mappings":{"default":{"default":"Präsentationsformular für vertikale, recht geschweifte Klammer"}}},{"category":"Ps","key":"FE39","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Schildpattklammer"}}},{"category":"Pe","key":"FE3A","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte Schildpatt-Klammer"}}},{"category":"Ps","key":"FE3B","mappings":{"default":{"default":"Präsentationsformular für vertikale linke schwarze linsenförmige Halterung"}}},{"category":"Pe","key":"FE3C","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige schwarze linsenförmige Halterung"}}},{"category":"Ps","key":"FE3D","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Doppelwinkelhalterung"}}},{"category":"Pe","key":"FE3E","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige, rechtwinklige Halterung"}}},{"category":"Ps","key":"FE3F","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Winkelhalterung"}}},{"category":"Pe","key":"FE40","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige Halterung"}}},{"category":"Ps","key":"FE41","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Eckhalterung"}}},{"category":"Pe","key":"FE42","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte Eckhalterung"}}},{"category":"Ps","key":"FE43","mappings":{"default":{"default":"Präsentationsformular für vertikale linke weiße Eckhalterung"}}},{"category":"Pe","key":"FE44","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte weiße Eckhalterung"}}},{"category":"Ps","key":"FE47","mappings":{"default":{"default":"Präsentationsformular für vertikale linke eckige Klammer"}}},{"category":"Pe","key":"FE48","mappings":{"default":{"default":"Präsentationsformular für vertikale eckige Klammer"}}},{"category":"Ps","key":"FE59","mappings":{"default":{"default":"Kleine linke Klammer"}}},{"category":"Pe","key":"FE5A","mappings":{"default":{"default":"Kleine rechte Klammer"}}},{"category":"Ps","key":"FE5B","mappings":{"default":{"default":"Kleine linke geschweifte Klammer"}}},{"category":"Pe","key":"FE5C","mappings":{"default":{"default":"Kleine rechte geschweifte Klammer"}}},{"category":"Ps","key":"FE5D","mappings":{"default":{"default":"Kleine linke Schildpatt-Klammer"}}},{"category":"Pe","key":"FE5E","mappings":{"default":{"default":"Kleine rechte Schildpatt-Klammer"}}},{"category":"Ps","key":"FF08","mappings":{"default":{"default":"Linke Klammer in voller Breite"}}},{"category":"Pe","key":"FF09","mappings":{"default":{"default":"Rechte Klammer mit voller Breite"}}},{"category":"Ps","key":"FF3B","mappings":{"default":{"default":"Linke eckige Klammer mit voller Breite"}}},{"category":"Pe","key":"FF3D","mappings":{"default":{"default":"Rechteckige Klammer mit voller Breite"}}},{"category":"Ps","key":"FF5B","mappings":{"default":{"default":"Linke geschweifte Klammer mit voller Breite"}}},{"category":"Pe","key":"FF5D","mappings":{"default":{"default":"Rechtwinklige Klammer mit voller Breite"}}},{"category":"Ps","key":"FF5F","mappings":{"default":{"default":"Linke weiße Klammer mit voller Breite"}}},{"category":"Pe","key":"FF60","mappings":{"default":{"default":"Rechte breite weiße Klammer"}}},{"category":"Ps","key":"FF62","mappings":{"default":{"default":"Halbe breite linke eckklammer"}}},{"category":"Pe","key":"FF63","mappings":{"default":{"default":"Halbe breite rechte eckklammer"}}}]
 ,
-"en/latin-mathfonts-double-struck.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"double struck capital a","short":"double struck cap a"},"mathspeak":{"default":"double struck upper A"}},"key":"1D538"},{"category":"Lu","mappings":{"default":{"default":"double struck capital b","short":"double struck cap b"},"mathspeak":{"default":"double struck upper B"}},"key":"1D539"},{"category":"Lu","mappings":{"default":{"default":"double struck capital c","short":"double struck cap c"},"mathspeak":{"default":"double struck upper C"}},"key":"2102"},{"category":"Lu","mappings":{"default":{"default":"double struck capital d","short":"double struck cap d"},"mathspeak":{"default":"double struck upper D"}},"key":"1D53B"},{"category":"Lu","mappings":{"default":{"default":"double struck capital e","short":"double struck cap e"},"mathspeak":{"default":"double struck upper E"}},"key":"1D53C"},{"category":"Lu","mappings":{"default":{"default":"double struck capital f","short":"double struck cap f"},"mathspeak":{"default":"double struck upper F"}},"key":"1D53D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital g","short":"double struck cap g"},"mathspeak":{"default":"double struck upper G"}},"key":"1D53E"},{"category":"Lu","mappings":{"default":{"default":"double struck capital h","short":"double struck cap h"},"mathspeak":{"default":"double struck upper H"}},"key":"210D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital i","short":"double struck cap i"},"mathspeak":{"default":"double struck upper I"}},"key":"1D540"},{"category":"Lu","mappings":{"default":{"default":"double struck capital j","short":"double struck cap j"},"mathspeak":{"default":"double struck upper J"}},"key":"1D541"},{"category":"Lu","mappings":{"default":{"default":"double struck capital k","short":"double struck cap k"},"mathspeak":{"default":"double struck upper K"}},"key":"1D542"},{"category":"Lu","mappings":{"default":{"default":"double struck capital l","short":"double struck cap l"},"mathspeak":{"default":"double struck upper L"}},"key":"1D543"},{"category":"Lu","mappings":{"default":{"default":"double struck capital m","short":"double struck cap m"},"mathspeak":{"default":"double struck upper M"}},"key":"1D544"},{"category":"Lu","mappings":{"default":{"default":"double struck capital n","short":"double struck cap n"},"mathspeak":{"default":"double struck upper N"}},"key":"2115"},{"category":"Lu","mappings":{"default":{"default":"double struck capital o","short":"double struck cap o"},"mathspeak":{"default":"double struck upper O"}},"key":"1D546"},{"category":"Lu","mappings":{"default":{"default":"double struck capital p","short":"double struck cap p"},"mathspeak":{"default":"double struck upper P"}},"key":"2119"},{"category":"Lu","mappings":{"default":{"default":"double struck capital q","short":"double struck cap q"},"mathspeak":{"default":"double struck upper Q"}},"key":"211A"},{"category":"Lu","mappings":{"default":{"default":"double struck capital r","short":"double struck cap r"},"mathspeak":{"default":"double struck upper R"}},"key":"211D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital s","short":"double struck cap s"},"mathspeak":{"default":"double struck upper S"}},"key":"1D54A"},{"category":"Lu","mappings":{"default":{"default":"double struck capital t","short":"double struck cap t"},"mathspeak":{"default":"double struck upper T"}},"key":"1D54B"},{"category":"Lu","mappings":{"default":{"default":"double struck capital u","short":"double struck cap u"},"mathspeak":{"default":"double struck upper U"}},"key":"1D54C"},{"category":"Lu","mappings":{"default":{"default":"double struck capital v","short":"double struck cap v"},"mathspeak":{"default":"double struck upper V"}},"key":"1D54D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital w","short":"double struck cap w"},"mathspeak":{"default":"double struck upper W"}},"key":"1D54E"},{"category":"Lu","mappings":{"default":{"default":"double struck capital x","short":"double struck cap x"},"mathspeak":{"default":"double struck upper X"}},"key":"1D54F"},{"category":"Lu","mappings":{"default":{"default":"double struck capital y","short":"double struck cap y"},"mathspeak":{"default":"double struck upper Y"}},"key":"1D550"},{"category":"Lu","mappings":{"default":{"default":"double struck capital z","short":"double struck cap z"},"mathspeak":{"default":"double struck upper Z"}},"key":"2124"},{"category":"Ll","mappings":{"default":{"default":"double struck small a","short":"double struck a"}},"key":"1D552"},{"category":"Ll","mappings":{"default":{"default":"double struck small b","short":"double struck b"}},"key":"1D553"},{"category":"Ll","mappings":{"default":{"default":"double struck small c","short":"double struck c"}},"key":"1D554"},{"category":"Ll","mappings":{"default":{"default":"double struck small d","short":"double struck d"}},"key":"1D555"},{"category":"Ll","mappings":{"default":{"default":"double struck small e","short":"double struck e"}},"key":"1D556"},{"category":"Ll","mappings":{"default":{"default":"double struck small f","short":"double struck f"}},"key":"1D557"},{"category":"Ll","mappings":{"default":{"default":"double struck small g","short":"double struck g"}},"key":"1D558"},{"category":"Ll","mappings":{"default":{"default":"double struck small h","short":"double struck h"}},"key":"1D559"},{"category":"Ll","mappings":{"default":{"default":"double struck small i","short":"double struck i"}},"key":"1D55A"},{"category":"Ll","mappings":{"default":{"default":"double struck small j","short":"double struck j"}},"key":"1D55B"},{"category":"Ll","mappings":{"default":{"default":"double struck small k","short":"double struck k"}},"key":"1D55C"},{"category":"Ll","mappings":{"default":{"default":"double struck small l","short":"double struck l"}},"key":"1D55D"},{"category":"Ll","mappings":{"default":{"default":"double struck small m","short":"double struck m"}},"key":"1D55E"},{"category":"Ll","mappings":{"default":{"default":"double struck small n","short":"double struck n"}},"key":"1D55F"},{"category":"Ll","mappings":{"default":{"default":"double struck small o","short":"double struck o"}},"key":"1D560"},{"category":"Ll","mappings":{"default":{"default":"double struck small p","short":"double struck p"}},"key":"1D561"},{"category":"Ll","mappings":{"default":{"default":"double struck small q","short":"double struck q"}},"key":"1D562"},{"category":"Ll","mappings":{"default":{"default":"double struck small r","short":"double struck r"}},"key":"1D563"},{"category":"Ll","mappings":{"default":{"default":"double struck small s","short":"double struck s"}},"key":"1D564"},{"category":"Ll","mappings":{"default":{"default":"double struck small t","short":"double struck t"}},"key":"1D565"},{"category":"Ll","mappings":{"default":{"default":"double struck small u","short":"double struck u"}},"key":"1D566"},{"category":"Ll","mappings":{"default":{"default":"double struck small v","short":"double struck v"}},"key":"1D567"},{"category":"Ll","mappings":{"default":{"default":"double struck small w","short":"double struck w"}},"key":"1D568"},{"category":"Ll","mappings":{"default":{"default":"double struck small x","short":"double struck x"}},"key":"1D569"},{"category":"Ll","mappings":{"default":{"default":"double struck small y","short":"double struck y"}},"key":"1D56A"},{"category":"Ll","mappings":{"default":{"default":"double struck small z","short":"double struck z"}},"key":"1D56B"}]
+"de/symbols/math_geometry.js": 
+[{"locale":"de"},{"category":"So","key":"2500","mappings":{"default":{"default":"Box Drawings Light Horizontal"}}},{"category":"So","key":"2501","mappings":{"default":{"default":"Box Drawings Schwere Horizontale"}}},{"category":"So","key":"2502","mappings":{"default":{"default":"Box Drawings Light Vertical"}}},{"category":"So","key":"2503","mappings":{"default":{"default":"Box Drawings Schwere Vertikale"}}},{"category":"So","key":"2504","mappings":{"default":{"default":"Box-Zeichnungen Licht Triple Dash Horizontal"}}},{"category":"So","key":"2505","mappings":{"default":{"default":"Box Drawings Heavy Triple Dash Horizontal"}}},{"category":"So","key":"2506","mappings":{"default":{"default":"Box Drawings Light Triple Dash Vertical"}}},{"category":"So","key":"2507","mappings":{"default":{"default":"Box Drawings Heavy Triple Dash Vertical"}}},{"category":"So","key":"2508","mappings":{"default":{"default":"Box Drawings Light Quadruple Dash Horizontal"}}},{"category":"So","key":"2509","mappings":{"default":{"default":"Box Drawings Heavy Quadruple Dash Horizontal"}}},{"category":"So","key":"250A","mappings":{"default":{"default":"Box Drawings Light Quadruple Dash Vertical"}}},{"category":"So","key":"250B","mappings":{"default":{"default":"Box Drawings Heavy Quadruple Dash Vertical"}}},{"category":"So","key":"250C","mappings":{"default":{"default":"Box Drawings Light Down und Right"}}},{"category":"So","key":"250D","mappings":{"default":{"default":"Box Drawings Down Light und Right Heavy"}}},{"category":"So","key":"250E","mappings":{"default":{"default":"Box Drawings Down Heavy und Right Light"}}},{"category":"So","key":"250F","mappings":{"default":{"default":"Box Drawings Heavy Down und Right"}}},{"category":"So","key":"2510","mappings":{"default":{"default":"Box Drawings Light Down und Links"}}},{"category":"So","key":"2511","mappings":{"default":{"default":"Box Drawings Down Light und Left Heavy"}}},{"category":"So","key":"2512","mappings":{"default":{"default":"Box Drawings Down Heavy und Left Light"}}},{"category":"So","key":"2513","mappings":{"default":{"default":"Box Drawings Heavy Down und Left"}}},{"category":"So","key":"2514","mappings":{"default":{"default":"Box-Zeichnungen leuchten auf und richtig"}}},{"category":"So","key":"2515","mappings":{"default":{"default":"Box Drawings Up Light und Right Heavy"}}},{"category":"So","key":"2516","mappings":{"default":{"default":"Box Drawings Up Heavy und Right Light"}}},{"category":"So","key":"2517","mappings":{"default":{"default":"Box Drawings Heavy Up und Right"}}},{"category":"So","key":"2518","mappings":{"default":{"default":"Box-Zeichnungen leuchten und links"}}},{"category":"So","key":"2519","mappings":{"default":{"default":"Box Drawings Up Light und Left Heavy"}}},{"category":"So","key":"251A","mappings":{"default":{"default":"Box Drawings Up Heavy und Left Light"}}},{"category":"So","key":"251B","mappings":{"default":{"default":"Box Drawings Heavy Up und Links"}}},{"category":"So","key":"251C","mappings":{"default":{"default":"Box Drawings Light Vertical und Right"}}},{"category":"So","key":"251D","mappings":{"default":{"default":"Box Drawings Vertical Light und Right Heavy"}}},{"category":"So","key":"251E","mappings":{"default":{"default":"Box Drawings Up Heavy und Right Down Light"}}},{"category":"So","key":"251F","mappings":{"default":{"default":"Box Drawings Down Heavy und Right Up Light"}}},{"category":"So","key":"2520","mappings":{"default":{"default":"Box Drawings Vertical Heavy und Right Light"}}},{"category":"So","key":"2521","mappings":{"default":{"default":"Box Drawings Down Light und Right Up Heavy"}}},{"category":"So","key":"2522","mappings":{"default":{"default":"Box Drawings Up Light und Right Down Heavy"}}},{"category":"So","key":"2523","mappings":{"default":{"default":"Box Drawings Heavy Vertical und Right"}}},{"category":"So","key":"2524","mappings":{"default":{"default":"Box Drawings Light Vertical und Left"}}},{"category":"So","key":"2525","mappings":{"default":{"default":"Box Drawings Vertical Light und Left Heavy"}}},{"category":"So","key":"2526","mappings":{"default":{"default":"Box Drawings Up Heavy und Left Down Light"}}},{"category":"So","key":"2527","mappings":{"default":{"default":"Box Drawings Down Heavy und Left Up Light"}}},{"category":"So","key":"2528","mappings":{"default":{"default":"Box Drawings Vertical Heavy und Left Light"}}},{"category":"So","key":"2529","mappings":{"default":{"default":"Box Drawings Down Light und Left Up Heavy"}}},{"category":"So","key":"252A","mappings":{"default":{"default":"Box Drawings Up Light und Left Down Heavy"}}},{"category":"So","key":"252B","mappings":{"default":{"default":"Box Drawings Heavy Vertical und Left"}}},{"category":"So","key":"252C","mappings":{"default":{"default":"Box-Zeichnungen leicht und horizontal"}}},{"category":"So","key":"252D","mappings":{"default":{"default":"Box Drawings Left Heavy und Right Down Light"}}},{"category":"So","key":"252E","mappings":{"default":{"default":"Box Drawings Right Heavy und Left Down Light"}}},{"category":"So","key":"252F","mappings":{"default":{"default":"Box Drawings Down Light und Horizontal Heavy"}}},{"category":"So","key":"2530","mappings":{"default":{"default":"Box-Zeichnungen für schweres und horizontales Licht"}}},{"category":"So","key":"2531","mappings":{"default":{"default":"Box Drawings Right Light und Left Down Heavy"}}},{"category":"So","key":"2532","mappings":{"default":{"default":"Box Drawings Left Light und Right Down Heavy"}}},{"category":"So","key":"2533","mappings":{"default":{"default":"Box-Zeichnungen nach unten und horizontal"}}},{"category":"So","key":"2534","mappings":{"default":{"default":"Box-Zeichnungen leuchten und horizontal"}}},{"category":"So","key":"2535","mappings":{"default":{"default":"Box Drawings Left Heavy und Right Up Light"}}},{"category":"So","key":"2536","mappings":{"default":{"default":"Box Drawings Right Heavy und Left Up Light"}}},{"category":"So","key":"2537","mappings":{"default":{"default":"Box Drawings Up Light und Horizontal Heavy"}}},{"category":"So","key":"2538","mappings":{"default":{"default":"Box-Zeichnungen für schweres und horizontales Licht"}}},{"category":"So","key":"2539","mappings":{"default":{"default":"Box Drawings Right Light und Left Up Heavy"}}},{"category":"So","key":"253A","mappings":{"default":{"default":"Box Drawings Left Light und Right Up Heavy"}}},{"category":"So","key":"253B","mappings":{"default":{"default":"Box-Zeichnungen schwer und horizontal"}}},{"category":"So","key":"253C","mappings":{"default":{"default":"Box Drawings Light vertikal und horizontal"}}},{"category":"So","key":"253D","mappings":{"default":{"default":"Kastenzeichnungen links schweres und rechtes vertikales Licht"}}},{"category":"So","key":"253E","mappings":{"default":{"default":"Box Drawings Right Heavy und Left Vertical Light"}}},{"category":"So","key":"253F","mappings":{"default":{"default":"Box Drawings Vertical Light und Horizontal Heavy"}}},{"category":"So","key":"2540","mappings":{"default":{"default":"Box Drawings Up Heavy und Down Horizontal Light"}}},{"category":"So","key":"2541","mappings":{"default":{"default":"Box Drawings Down Heavy und Up Horizontal Light"}}},{"category":"So","key":"2542","mappings":{"default":{"default":"Kastenzeichnungen Vertikales schweres und horizontales Licht"}}},{"category":"So","key":"2543","mappings":{"default":{"default":"Box Drawings Left Up Heavy und Right Down Light"}}},{"category":"So","key":"2544","mappings":{"default":{"default":"Box Drawings Right Up Heavy und Left Down Light"}}},{"category":"So","key":"2545","mappings":{"default":{"default":"Box Drawings Left Down Heavy und Right Up Light"}}},{"category":"So","key":"2546","mappings":{"default":{"default":"Box Drawings Right Down Heavy und Left Up Light"}}},{"category":"So","key":"2547","mappings":{"default":{"default":"Box Drawings Down Light und Up Horizontal Heavy"}}},{"category":"So","key":"2548","mappings":{"default":{"default":"Box Drawings Up Light und Down Horizontal Heavy"}}},{"category":"So","key":"2549","mappings":{"default":{"default":"Box Drawings Right Light und Left Vertical Heavy"}}},{"category":"So","key":"254A","mappings":{"default":{"default":"Box Drawings Left Light und Right Vertical Heavy"}}},{"category":"So","key":"254B","mappings":{"default":{"default":"Box Drawings Heavy vertikal und horizontal"}}},{"category":"So","key":"254C","mappings":{"default":{"default":"Box Drawings Light Double Dash Horizontal"}}},{"category":"So","key":"254D","mappings":{"default":{"default":"Box Drawings Heavy Double Dash Horizontal"}}},{"category":"So","key":"254E","mappings":{"default":{"default":"Box Drawings Light Double Dash Vertical"}}},{"category":"So","key":"254F","mappings":{"default":{"default":"Box Drawings Heavy Double Dash Vertical"}}},{"category":"So","key":"2550","mappings":{"default":{"default":"Box-Zeichnungen doppelt horizontal"}}},{"category":"So","key":"2551","mappings":{"default":{"default":"Box Drawings Double Vertical"}}},{"category":"So","key":"2552","mappings":{"default":{"default":"Box Drawings Down Single und Right Double"}}},{"category":"So","key":"2553","mappings":{"default":{"default":"Box Drawings Down Double und Right Single"}}},{"category":"So","key":"2554","mappings":{"default":{"default":"Box Drawings Double Down und Right"}}},{"category":"So","key":"2555","mappings":{"default":{"default":"Box Drawings Down Single und Left Double"}}},{"category":"So","key":"2556","mappings":{"default":{"default":"Box Drawings Down Double und Left Single"}}},{"category":"So","key":"2557","mappings":{"default":{"default":"Box Drawings Double Down und Links"}}},{"category":"So","key":"2558","mappings":{"default":{"default":"Box Drawings Up Single und Right Double"}}},{"category":"So","key":"2559","mappings":{"default":{"default":"Box Drawings Up Double und Right Single"}}},{"category":"So","key":"255A","mappings":{"default":{"default":"Box-Zeichnungen verdoppeln und rechts"}}},{"category":"So","key":"255B","mappings":{"default":{"default":"Box Drawings Up Single und Left Double"}}},{"category":"So","key":"255C","mappings":{"default":{"default":"Box Drawings Up Double und Left Single"}}},{"category":"So","key":"255D","mappings":{"default":{"default":"Box-Zeichnungen verdoppeln und links"}}},{"category":"So","key":"255E","mappings":{"default":{"default":"Box Drawings Vertical Single und Right Double"}}},{"category":"So","key":"255F","mappings":{"default":{"default":"Box Drawings Vertical Double und Right Single"}}},{"category":"So","key":"2560","mappings":{"default":{"default":"Box Drawings Double Vertical und Right"}}},{"category":"So","key":"2561","mappings":{"default":{"default":"Box Drawings Vertical Single und Left Double"}}},{"category":"So","key":"2562","mappings":{"default":{"default":"Box Drawings Vertical Double und Left Single"}}},{"category":"So","key":"2563","mappings":{"default":{"default":"Box Drawings Double Vertical und Left"}}},{"category":"So","key":"2564","mappings":{"default":{"default":"Box Drawings Down Single und Horizontal Double"}}},{"category":"So","key":"2565","mappings":{"default":{"default":"Box Drawings Down Double und Horizontal Single"}}},{"category":"So","key":"2566","mappings":{"default":{"default":"Box Drawings Double Down und Horizontal"}}},{"category":"So","key":"2567","mappings":{"default":{"default":"Box Drawings Up Single und Horizontal Double"}}},{"category":"So","key":"2568","mappings":{"default":{"default":"Box Drawings Up Double und Horizontal Single"}}},{"category":"So","key":"2569","mappings":{"default":{"default":"Box-Zeichnungen verdoppeln und horizontal"}}},{"category":"So","key":"256A","mappings":{"default":{"default":"Box Drawings Vertical Single und Horizontal Double"}}},{"category":"So","key":"256B","mappings":{"default":{"default":"Box Drawings Vertical Double und Horizontal Single"}}},{"category":"So","key":"256C","mappings":{"default":{"default":"Box-Zeichnungen doppelt vertikal und horizontal"}}},{"category":"So","key":"256D","mappings":{"default":{"default":"Box Drawings Light Arc Down und Right"}}},{"category":"So","key":"256E","mappings":{"default":{"default":"Box Drawings Light Arc Down und Links"}}},{"category":"So","key":"256F","mappings":{"default":{"default":"Box Drawings Light Arc Up und links"}}},{"category":"So","key":"2570","mappings":{"default":{"default":"Box Drawings Light Arc Up und rechts"}}},{"category":"So","key":"2571","mappings":{"default":{"default":"Box Drawings Light Diagonal Oben Rechts Nach Unten Links"}}},{"category":"So","key":"2572","mappings":{"default":{"default":"Box Drawings Light Diagonal von oben links nach rechts unten"}}},{"category":"So","key":"2573","mappings":{"default":{"default":"Box Zeichnungen Light Diagonal Cross"}}},{"category":"So","key":"2574","mappings":{"default":{"default":"Box-Zeichnungen Light Left"}}},{"category":"So","key":"2575","mappings":{"default":{"default":"Box-Zeichnungen leuchten auf"}}},{"category":"So","key":"2576","mappings":{"default":{"default":"Box-Zeichnungen Light Right"}}},{"category":"So","key":"2577","mappings":{"default":{"default":"Box Drawings Light Down"}}},{"category":"So","key":"2578","mappings":{"default":{"default":"Box Drawings Heavy Left"}}},{"category":"So","key":"2579","mappings":{"default":{"default":"Box Drawings Heavy Up"}}},{"category":"So","key":"257A","mappings":{"default":{"default":"Box Drawings Heavy Right"}}},{"category":"So","key":"257B","mappings":{"default":{"default":"Box Drawings Heavy Down"}}},{"category":"So","key":"257C","mappings":{"default":{"default":"Box Drawings Light Left und Heavy Right"}}},{"category":"So","key":"257D","mappings":{"default":{"default":"Box Drawings Light Up und Heavy Down"}}},{"category":"So","key":"257E","mappings":{"default":{"default":"Box Drawings Heavy Left und Light Right"}}},{"category":"So","key":"257F","mappings":{"default":{"default":"Box Drawings Heavy Up und Light Down"}}},{"category":"So","key":"2580","mappings":{"default":{"default":"Block der oberen Hälfte"}}},{"category":"So","key":"2581","mappings":{"default":{"default":"Unterer achter Block"}}},{"category":"So","key":"2582","mappings":{"default":{"default":"Unterer Viertelblock"}}},{"category":"So","key":"2583","mappings":{"default":{"default":"Drei Achtel-Block senken"}}},{"category":"So","key":"2584","mappings":{"default":{"default":"Block der unteren Hälfte"}}},{"category":"So","key":"2585","mappings":{"default":{"default":"Fünf Achtel Block"}}},{"category":"So","key":"2586","mappings":{"default":{"default":"Unterer Dreiviertelblock"}}},{"category":"So","key":"2587","mappings":{"default":{"default":"Unterer Sieben Achtel-Block"}}},{"category":"So","key":"2588","mappings":{"default":{"default":"Voller Block"}}},{"category":"So","key":"2589","mappings":{"default":{"default":"Linker Sieben Achtel Block"}}},{"category":"So","key":"258A","mappings":{"default":{"default":"Linker Dreiviertelblock"}}},{"category":"So","key":"258B","mappings":{"default":{"default":"Linker Block mit fünf Achteln"}}},{"category":"So","key":"258C","mappings":{"default":{"default":"Linke halbe Block"}}},{"category":"So","key":"258D","mappings":{"default":{"default":"Block drei Achtel"}}},{"category":"So","key":"258E","mappings":{"default":{"default":"Linke einen Viertelblock"}}},{"category":"So","key":"258F","mappings":{"default":{"default":"Linker achter Block"}}},{"category":"So","key":"2590","mappings":{"default":{"default":"Rechte halbe Block"}}},{"category":"So","key":"2591","mappings":{"default":{"default":"Lichtschatten"}}},{"category":"So","key":"2592","mappings":{"default":{"default":"Mittlere Schatten"}}},{"category":"So","key":"2593","mappings":{"default":{"default":"Dunkler Schatten"}}},{"category":"So","key":"2594","mappings":{"default":{"default":"Oberer achter Block"}}},{"category":"So","key":"2595","mappings":{"default":{"default":"rechter achter Block"}}},{"category":"So","key":"2596","mappings":{"default":{"default":"Quadrant unten links"}}},{"category":"So","key":"2597","mappings":{"default":{"default":"Quadrant rechts unten"}}},{"category":"So","key":"2598","mappings":{"default":{"default":"Quadrant oben links"}}},{"category":"So","key":"2599","mappings":{"default":{"default":"Quadrant oben links und unten links und rechts unten"}}},{"category":"So","key":"259A","mappings":{"default":{"default":"Quadrant oben links und rechts unten"}}},{"category":"So","key":"259B","mappings":{"default":{"default":"Quadrant oben links und oben rechts und unten links"}}},{"category":"So","key":"259C","mappings":{"default":{"default":"Quadrant oben links und oben rechts und unten rechts"}}},{"category":"So","key":"259D","mappings":{"default":{"default":"Quadrant oben rechts"}}},{"category":"So","key":"259E","mappings":{"default":{"default":"Quadrant oben rechts und unten links"}}},{"category":"So","key":"259F","mappings":{"default":{"default":"Quadrant oben rechts und unten links und unten rechts"}}},{"category":"So","key":"25A0","mappings":{"default":{"default":"Schwarzes Quadrat"}}},{"category":"So","key":"25A1","mappings":{"default":{"default":"Weißes Quadrat"}}},{"category":"So","key":"25A2","mappings":{"default":{"default":"Weißes Quadrat mit abgerundeten Ecken"}}},{"category":"So","key":"25A3","mappings":{"default":{"default":"Weißes Quadrat, das schwarzes kleines Quadrat enthält"}}},{"category":"So","key":"25A4","mappings":{"default":{"default":"Quadrat mit horizontaler Füllung"}}},{"category":"So","key":"25A5","mappings":{"default":{"default":"Quadrat mit vertikaler Füllung"}}},{"category":"So","key":"25A6","mappings":{"default":{"default":"Quadrat mit orthogonaler Schraffurfüllung"}}},{"category":"So","key":"25A7","mappings":{"default":{"default":"Quadrat mit Oben links nach rechts unten füllen"}}},{"category":"So","key":"25A8","mappings":{"default":{"default":"Quadrat mit oberer rechter bis unterer linker Füllung"}}},{"category":"So","key":"25A9","mappings":{"default":{"default":"Quadrat mit diagonaler Schraffurfüllung"}}},{"category":"So","key":"25AA","mappings":{"default":{"default":"Schwarzes kleines Quadrat"}}},{"category":"So","key":"25AB","mappings":{"default":{"default":"Weißes kleines Quadrat"}}},{"category":"So","key":"25AC","mappings":{"default":{"default":"Schwarzes Rechteck"}}},{"category":"So","key":"25AD","mappings":{"default":{"default":"Weißes Rechteck"}}},{"category":"So","key":"25AE","mappings":{"default":{"default":"Schwarzes vertikales Rechteck"}}},{"category":"So","key":"25AF","mappings":{"default":{"default":"Weißes vertikales Rechteck"}}},{"category":"So","key":"25B0","mappings":{"default":{"default":"Schwarzes Parallelogramm"}}},{"category":"So","key":"25B1","mappings":{"default":{"default":"Weißes Parallelogramm"}}},{"category":"So","key":"25B2","mappings":{"default":{"default":"Schwarzes nach oben zeigendes Dreieck"}}},{"category":"So","key":"25B3","mappings":{"default":{"default":"Weißes nach oben zeigendes Dreieck"}}},{"category":"So","key":"25B4","mappings":{"default":{"default":"Schwarzes nach oben zeigendes kleines Dreieck"}}},{"category":"So","key":"25B5","mappings":{"default":{"default":"Weißes nach oben zeigendes kleines Dreieck"}}},{"category":"So","key":"25B6","mappings":{"default":{"default":"Schwarzes rechtwinkliges Dreieck"}}},{"category":"Sm","key":"25B7","mappings":{"default":{"default":"Weißes rechtwinkliges Dreieck"}}},{"category":"So","key":"25B8","mappings":{"default":{"default":"Schwarzes nach rechts zeigendes kleines Dreieck"}}},{"category":"So","key":"25B9","mappings":{"default":{"default":"Weißes nach rechts zeigendes kleines Dreieck"}}},{"category":"So","key":"25BA","mappings":{"default":{"default":"Schwarzer nach rechts zeigender Zeiger"}}},{"category":"So","key":"25BB","mappings":{"default":{"default":"Weißer nach rechts zeigender Zeiger"}}},{"category":"So","key":"25BC","mappings":{"default":{"default":"Schwarzes Abwärtsdreieck"}}},{"category":"So","key":"25BD","mappings":{"default":{"default":"Weißes nach unten zeigendes Dreieck"}}},{"category":"So","key":"25BE","mappings":{"default":{"default":"Schwarzes, nach unten zeigendes kleines Dreieck"}}},{"category":"So","key":"25BF","mappings":{"default":{"default":"Weißes kleines Dreieck"}}},{"category":"So","key":"25C0","mappings":{"default":{"default":"Schwarzes nach links zeigendes Dreieck"}}},{"category":"Sm","key":"25C1","mappings":{"default":{"default":"Weißes nach links zeigendes Dreieck"}}},{"category":"So","key":"25C2","mappings":{"default":{"default":"Schwarzes nach links zeigendes kleines Dreieck"}}},{"category":"So","key":"25C3","mappings":{"default":{"default":"Weißes nach links zeigendes kleines Dreieck"}}},{"category":"So","key":"25C4","mappings":{"default":{"default":"Schwarzer nach links zeigender Zeiger"}}},{"category":"So","key":"25C5","mappings":{"default":{"default":"Weißer nach links zeigender Zeiger"}}},{"category":"So","key":"25C6","mappings":{"default":{"default":"Schwarzer Diamant"}}},{"category":"So","key":"25C7","mappings":{"default":{"default":"Weißer Diamant"}}},{"category":"So","key":"25C8","mappings":{"default":{"default":"Weißer Diamant mit schwarzem kleinem Diamant"}}},{"category":"So","key":"25C9","mappings":{"default":{"default":"Fischauge"}}},{"category":"So","key":"25CA","mappings":{"default":{"default":"Raute"}}},{"category":"So","key":"25CB","mappings":{"default":{"default":"Weißer Kreis"}}},{"category":"So","key":"25CC","mappings":{"default":{"default":"Gepunkteter Kreis"}}},{"category":"So","key":"25CD","mappings":{"default":{"default":"Kreis mit vertikaler Füllung"}}},{"category":"So","key":"25CE","mappings":{"default":{"default":"Bullseye"}}},{"category":"So","key":"25CF","mappings":{"default":{"default":"Schwarzer Kreis"}}},{"category":"So","key":"25D0","mappings":{"default":{"default":"Kreis mit linker Hälfte schwarz"}}},{"category":"So","key":"25D1","mappings":{"default":{"default":"Kreis mit rechter Hälfte schwarz"}}},{"category":"So","key":"25D2","mappings":{"default":{"default":"Kreis mit unterer Hälfte Schwarz"}}},{"category":"So","key":"25D3","mappings":{"default":{"default":"Kreis mit oberer Hälfte schwarz"}}},{"category":"So","key":"25D4","mappings":{"default":{"default":"Kreis mit oberem rechten Quadranten schwarz"}}},{"category":"So","key":"25D5","mappings":{"default":{"default":"Kreis mit ganzem oberen linken Quadranten schwarz"}}},{"category":"So","key":"25D6","mappings":{"default":{"default":"Linker halber schwarzer Kreis"}}},{"category":"So","key":"25D7","mappings":{"default":{"default":"rechter halber schwarzer Kreis"}}},{"category":"So","key":"25D8","mappings":{"default":{"default":"Inverse Kugel"}}},{"category":"So","key":"25D9","mappings":{"default":{"default":"Inverse weißer Kreis"}}},{"category":"So","key":"25DA","mappings":{"default":{"default":"Umgekehrter weißer Kreis der oberen Hälfte"}}},{"category":"So","key":"25DB","mappings":{"default":{"default":"Inverser weißer Kreis der unteren Hälfte"}}},{"category":"So","key":"25DC","mappings":{"default":{"default":"Kreisbogen des oberen linken Quadranten"}}},{"category":"So","key":"25DD","mappings":{"default":{"default":"Kreisbogen im oberen rechten Quadranten"}}},{"category":"So","key":"25DE","mappings":{"default":{"default":"Kreisbogen des rechten unteren Quadranten"}}},{"category":"So","key":"25DF","mappings":{"default":{"default":"Kreisbogen des unteren linken Quadranten"}}},{"category":"So","key":"25E0","mappings":{"default":{"default":"Oberer Halbkreis"}}},{"category":"So","key":"25E1","mappings":{"default":{"default":"Unterer Halbkreis"}}},{"category":"So","key":"25E2","mappings":{"default":{"default":"Schwarzes rechtes Dreieck"}}},{"category":"So","key":"25E3","mappings":{"default":{"default":"Schwarzes unteres linkes Dreieck"}}},{"category":"So","key":"25E4","mappings":{"default":{"default":"Schwarzes oberes linkes Dreieck"}}},{"category":"So","key":"25E5","mappings":{"default":{"default":"Schwarzes rechtes Dreieck"}}},{"category":"So","key":"25E6","mappings":{"default":{"default":"Weiße Kugel"}}},{"category":"So","key":"25E7","mappings":{"default":{"default":"Quadrat mit linker Hälfte schwarz"}}},{"category":"So","key":"25E8","mappings":{"default":{"default":"Quadrat mit rechter Hälfte schwarz"}}},{"category":"So","key":"25E9","mappings":{"default":{"default":"Quadrat mit der oberen linken Diagonalenhälfte schwarz"}}},{"category":"So","key":"25EA","mappings":{"default":{"default":"Quadrat mit unterer rechter diagonaler Hälfte schwarz"}}},{"category":"So","key":"25EB","mappings":{"default":{"default":"Weißes Quadrat mit senkrechter Linie"}}},{"category":"So","key":"25EC","mappings":{"default":{"default":"Weißes nach oben zeigendes Dreieck mit Punkt"}}},{"category":"So","key":"25ED","mappings":{"default":{"default":"Aufwärtszeigendes Dreieck mit linker Hälfte schwarz"}}},{"category":"So","key":"25EE","mappings":{"default":{"default":"Aufwärtszeigendes Dreieck mit rechter Hälfte schwarz"}}},{"category":"So","key":"25EF","mappings":{"default":{"default":"Großer Kreis"}}},{"category":"So","key":"25F0","mappings":{"default":{"default":"Weißes Quadrat mit oberem linken Quadranten"}}},{"category":"So","key":"25F1","mappings":{"default":{"default":"Weißes Quadrat mit unterem linken Quadranten"}}},{"category":"So","key":"25F2","mappings":{"default":{"default":"Weißes Quadrat mit unterem rechten Quadranten"}}},{"category":"So","key":"25F3","mappings":{"default":{"default":"Weißes Quadrat mit rechtem oberen Quadranten"}}},{"category":"So","key":"25F4","mappings":{"default":{"default":"Weißer Kreis mit oberem linkem Quadranten"}}},{"category":"So","key":"25F5","mappings":{"default":{"default":"Weißer Kreis mit unterem linken Quadranten"}}},{"category":"So","key":"25F6","mappings":{"default":{"default":"Weißer Kreis mit unterem rechten Quadranten"}}},{"category":"So","key":"25F7","mappings":{"default":{"default":"Weißer Kreis mit rechtem oberen Quadranten"}}},{"category":"Sm","key":"25F8","mappings":{"default":{"default":"Oberes linkes Dreieck"}}},{"category":"Sm","key":"25F9","mappings":{"default":{"default":"Oberes rechtes Dreieck"}}},{"category":"Sm","key":"25FA","mappings":{"default":{"default":"Unteres linkes Dreieck"}}},{"category":"Sm","key":"25FB","mappings":{"default":{"default":"Weißes mittleres Quadrat"}}},{"category":"Sm","key":"25FC","mappings":{"default":{"default":"Schwarzes mittleres Quadrat"}}},{"category":"Sm","key":"25FD","mappings":{"default":{"default":"Weißes mittleres kleines Quadrat"}}},{"category":"Sm","key":"25FE","mappings":{"default":{"default":"Schwarzes mittleres kleines Quadrat"}}},{"category":"Sm","key":"25FF","mappings":{"default":{"default":"Unteres rechtes Dreieck"}}},{"category":"So","key":"2B12","mappings":{"default":{"default":"Quadrat mit oberer Hälfte schwarz"}}},{"category":"So","key":"2B13","mappings":{"default":{"default":"Quadrat mit unterer Hälfte schwarz"}}},{"category":"So","key":"2B14","mappings":{"default":{"default":"Quadrat mit oberer rechter diagonaler Hälfte schwarz"}}},{"category":"So","key":"2B15","mappings":{"default":{"default":"Quadrat mit unterer linker diagonaler Hälfte schwarz"}}},{"category":"So","key":"2B16","mappings":{"default":{"default":"Diamant mit linker Hälfte schwarz"}}},{"category":"So","key":"2B17","mappings":{"default":{"default":"Diamant mit rechter Hälfte schwarz"}}},{"category":"So","key":"2B18","mappings":{"default":{"default":"Diamant mit oberer Hälfte schwarz"}}},{"category":"So","key":"2B19","mappings":{"default":{"default":"Diamant mit unterer Hälfte schwarz"}}},{"category":"So","key":"2B1A","mappings":{"default":{"default":"Gepunktetes Quadrat"}}},{"category":"So","key":"2B1B","mappings":{"default":{"default":"Schwarzes großes Quadrat"}}},{"category":"So","key":"2B1C","mappings":{"default":{"default":"Weißes großes Quadrat"}}},{"category":"So","key":"2B1D","mappings":{"default":{"default":"Schwarzes sehr kleines Quadrat"}}},{"category":"So","key":"2B1E","mappings":{"default":{"default":"Weißes sehr kleines Quadrat"}}},{"category":"So","key":"2B1F","mappings":{"default":{"default":"Schwarzes Pentagon"}}},{"category":"So","key":"2B20","mappings":{"default":{"default":"Weißes Pentagon"}}},{"category":"So","key":"2B21","mappings":{"default":{"default":"Weißes Sechseck"}}},{"category":"So","key":"2B22","mappings":{"default":{"default":"Schwarzes Sechseck"}}},{"category":"So","key":"2B23","mappings":{"default":{"default":"Horizontales schwarzes Sechseck"}}},{"category":"So","key":"2B24","mappings":{"default":{"default":"Schwarzer großer Kreis"}}},{"category":"So","key":"2B25","mappings":{"default":{"default":"Schwarzer mittlerer Diamant"}}},{"category":"So","key":"2B26","mappings":{"default":{"default":"Weißer mittlerer Diamant"}}},{"category":"So","key":"2B27","mappings":{"default":{"default":"Schwarze mittlere Raute"}}},{"category":"So","key":"2B28","mappings":{"default":{"default":"Weiße mittlere Raute"}}},{"category":"So","key":"2B29","mappings":{"default":{"default":"Schwarzer kleiner Diamant"}}},{"category":"So","key":"2B2A","mappings":{"default":{"default":"Schwarze kleine Raute"}}},{"category":"So","key":"2B2B","mappings":{"default":{"default":"Weiße kleine Raute"}}},{"category":"So","key":"2B2C","mappings":{"default":{"default":"Schwarze horizontale Ellipse"}}},{"category":"So","key":"2B2D","mappings":{"default":{"default":"Weiße horizontale Ellipse"}}},{"category":"So","key":"2B2E","mappings":{"default":{"default":"Schwarze vertikale Ellipse"}}},{"category":"So","key":"2B2F","mappings":{"default":{"default":"Weiße vertikale Ellipse"}}},{"category":"So","key":"2B50","mappings":{"default":{"default":"Weißer mittlerer Stern"}}},{"category":"So","key":"2B51","mappings":{"default":{"default":"Schwarzer kleiner Stern"}}},{"category":"So","key":"2B52","mappings":{"default":{"default":"Weißer kleiner Stern"}}},{"category":"So","key":"2B53","mappings":{"default":{"default":"Schwarzes nach rechts zeigendes Pentagon"}}},{"category":"So","key":"2B54","mappings":{"default":{"default":"Weißes nach rechts zeigendes Pentagon"}}},{"category":"So","key":"2B55","mappings":{"default":{"default":"Schwerer großer Kreis"}}},{"category":"So","key":"2B56","mappings":{"default":{"default":"Schweres Oval mit innenliegendem Oval"}}},{"category":"So","key":"2B57","mappings":{"default":{"default":"Schwerer Kreis mit Kreis nach innen"}}},{"category":"So","key":"2B58","mappings":{"default":{"default":"Schwerer Kreis"}}},{"category":"So","key":"2B59","mappings":{"default":{"default":"Schwerer eingekreister Saltire"}}}]
 ,
-"en/latin-mathfonts-fraktur.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital a","short":"fraktur cap a"},"mathspeak":{"default":"fraktur upper A"}},"key":"1D504"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital b","short":"fraktur cap b"},"mathspeak":{"default":"fraktur upper B"}},"key":"1D505"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital c","short":"fraktur cap c"},"mathspeak":{"default":"fraktur upper C"}},"key":"212D"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital d","short":"fraktur cap d"},"mathspeak":{"default":"fraktur upper D"}},"key":"1D507"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital e","short":"fraktur cap e"},"mathspeak":{"default":"fraktur upper E"}},"key":"1D508"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital f","short":"fraktur cap f"},"mathspeak":{"default":"fraktur upper F"}},"key":"1D509"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital g","short":"fraktur cap g"},"mathspeak":{"default":"fraktur upper G"}},"key":"1D50A"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital h","short":"fraktur cap h"},"mathspeak":{"default":"fraktur upper H"}},"key":"210C"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital i","short":"fraktur cap i"},"mathspeak":{"default":"fraktur upper I"}},"key":"2111"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital j","short":"fraktur cap j"},"mathspeak":{"default":"fraktur upper J"}},"key":"1D50D"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital k","short":"fraktur cap k"},"mathspeak":{"default":"fraktur upper K"}},"key":"1D50E"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital l","short":"fraktur cap l"},"mathspeak":{"default":"fraktur upper L"}},"key":"1D50F"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital m","short":"fraktur cap m"},"mathspeak":{"default":"fraktur upper M"}},"key":"1D510"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital n","short":"fraktur cap n"},"mathspeak":{"default":"fraktur upper N"}},"key":"1D511"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital o","short":"fraktur cap o"},"mathspeak":{"default":"fraktur upper O"}},"key":"1D512"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital p","short":"fraktur cap p"},"mathspeak":{"default":"fraktur upper P"}},"key":"1D513"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital q","short":"fraktur cap q"},"mathspeak":{"default":"fraktur upper Q"}},"key":"1D514"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital r","short":"fraktur cap r"},"mathspeak":{"default":"fraktur upper R"}},"key":"211C"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital s","short":"fraktur cap s"},"mathspeak":{"default":"fraktur upper S"}},"key":"1D516"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital t","short":"fraktur cap t"},"mathspeak":{"default":"fraktur upper T"}},"key":"1D517"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital u","short":"fraktur cap u"},"mathspeak":{"default":"fraktur upper U"}},"key":"1D518"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital v","short":"fraktur cap v"},"mathspeak":{"default":"fraktur upper V"}},"key":"1D519"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital w","short":"fraktur cap w"},"mathspeak":{"default":"fraktur upper W"}},"key":"1D51A"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital x","short":"fraktur cap x"},"mathspeak":{"default":"fraktur upper X"}},"key":"1D51B"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital y","short":"fraktur cap y"},"mathspeak":{"default":"fraktur upper Y"}},"key":"1D51C"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital z","short":"fraktur cap z"},"mathspeak":{"default":"fraktur upper Z"}},"key":"2128"},{"category":"Ll","mappings":{"default":{"default":"fraktur small a","short":"fraktur a"}},"key":"1D51E"},{"category":"Ll","mappings":{"default":{"default":"fraktur small b","short":"fraktur b"}},"key":"1D51F"},{"category":"Ll","mappings":{"default":{"default":"fraktur small c","short":"fraktur c"}},"key":"1D520"},{"category":"Ll","mappings":{"default":{"default":"fraktur small d","short":"fraktur d"}},"key":"1D521"},{"category":"Ll","mappings":{"default":{"default":"fraktur small e","short":"fraktur e"}},"key":"1D522"},{"category":"Ll","mappings":{"default":{"default":"fraktur small f","short":"fraktur f"}},"key":"1D523"},{"category":"Ll","mappings":{"default":{"default":"fraktur small g","short":"fraktur g"}},"key":"1D524"},{"category":"Ll","mappings":{"default":{"default":"fraktur small h","short":"fraktur h"}},"key":"1D525"},{"category":"Ll","mappings":{"default":{"default":"fraktur small i","short":"fraktur i"}},"key":"1D526"},{"category":"Ll","mappings":{"default":{"default":"fraktur small j","short":"fraktur j"}},"key":"1D527"},{"category":"Ll","mappings":{"default":{"default":"fraktur small k","short":"fraktur k"}},"key":"1D528"},{"category":"Ll","mappings":{"default":{"default":"fraktur small l","short":"fraktur l"}},"key":"1D529"},{"category":"Ll","mappings":{"default":{"default":"fraktur small m","short":"fraktur m"}},"key":"1D52A"},{"category":"Ll","mappings":{"default":{"default":"fraktur small n","short":"fraktur n"}},"key":"1D52B"},{"category":"Ll","mappings":{"default":{"default":"fraktur small o","short":"fraktur o"}},"key":"1D52C"},{"category":"Ll","mappings":{"default":{"default":"fraktur small p","short":"fraktur p"}},"key":"1D52D"},{"category":"Ll","mappings":{"default":{"default":"fraktur small q","short":"fraktur q"}},"key":"1D52E"},{"category":"Ll","mappings":{"default":{"default":"fraktur small r","short":"fraktur r"}},"key":"1D52F"},{"category":"Ll","mappings":{"default":{"default":"fraktur small s","short":"fraktur s"}},"key":"1D530"},{"category":"Ll","mappings":{"default":{"default":"fraktur small t","short":"fraktur t"}},"key":"1D531"},{"category":"Ll","mappings":{"default":{"default":"fraktur small u","short":"fraktur u"}},"key":"1D532"},{"category":"Ll","mappings":{"default":{"default":"fraktur small v","short":"fraktur v"}},"key":"1D533"},{"category":"Ll","mappings":{"default":{"default":"fraktur small w","short":"fraktur w"}},"key":"1D534"},{"category":"Ll","mappings":{"default":{"default":"fraktur small x","short":"fraktur x"}},"key":"1D535"},{"category":"Ll","mappings":{"default":{"default":"fraktur small y","short":"fraktur y"}},"key":"1D536"},{"category":"Ll","mappings":{"default":{"default":"fraktur small z","short":"fraktur z"}},"key":"1D537"}]
+"de/symbols/math_harpoons.js": 
+[{"locale":"de"},{"category":"So","key":"21BC","mappings":{"default":{"default":"Linke Harpune mit Barb nach oben"}}},{"category":"So","key":"21BD","mappings":{"default":{"default":"Harpune nach links mit Barb nach unten"}}},{"category":"So","key":"21BE","mappings":{"default":{"default":"Harpune nach oben mit Barb nach rechts"}}},{"category":"So","key":"21BF","mappings":{"default":{"default":"Harpune nach oben mit Barb nach links"}}},{"category":"So","key":"21C0","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach oben"}}},{"category":"So","key":"21C1","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach unten"}}},{"category":"So","key":"21C2","mappings":{"default":{"default":"Harpune nach unten mit Barb nach rechts"}}},{"category":"So","key":"21C3","mappings":{"default":{"default":"Harpune nach unten mit Barb nach links"}}},{"category":"So","key":"21CB","mappings":{"default":{"default":"Harpune nach links über Harpune nach rechts"}}},{"category":"So","key":"21CC","mappings":{"default":{"default":"Harpune nach rechts über Harpune nach links"}}},{"category":"Sm","key":"294A","mappings":{"default":{"default":"Linke Barb Up Rechte Barb Down Harpoon"}}},{"category":"Sm","key":"294B","mappings":{"default":{"default":"Linke Barb Down Rechte Barb Up Harpoon"}}},{"category":"Sm","key":"294C","mappings":{"default":{"default":"Nach oben Barb Rechts Nach links Barb Harpoon"}}},{"category":"Sm","key":"294D","mappings":{"default":{"default":"Up Barb Left Abwärts Barb Right Harpoon"}}},{"category":"Sm","key":"294E","mappings":{"default":{"default":"Linke Barb Up Rechte Barb Up Harpoon"}}},{"category":"Sm","key":"294F","mappings":{"default":{"default":"Barb nach rechts Barb nach rechts Harpoon"}}},{"category":"Sm","key":"2950","mappings":{"default":{"default":"Linke Barb Down Rechte Barb Down Harpoon"}}},{"category":"Sm","key":"2951","mappings":{"default":{"default":"Up Barb Left Abwärts Barb Left Harpoon"}}},{"category":"Sm","key":"2952","mappings":{"default":{"default":"Linke Harpune mit Barb Up To Bar"}}},{"category":"Sm","key":"2953","mappings":{"default":{"default":"Harpune nach rechts mit Barb bis zur Bar"}}},{"category":"Sm","key":"2954","mappings":{"default":{"default":"Harpune nach oben mit Widerhaken rechts"}}},{"category":"Sm","key":"2955","mappings":{"default":{"default":"Harpune nach unten mit Barb Right to Bar"}}},{"category":"Sm","key":"2956","mappings":{"default":{"default":"Linke Harpune mit Widerhaken nach unten"}}},{"category":"Sm","key":"2957","mappings":{"default":{"default":"Harpune nach rechts mit Widerhaken nach unten"}}},{"category":"Sm","key":"2958","mappings":{"default":{"default":"Harpune nach oben mit Barb nach links"}}},{"category":"Sm","key":"2959","mappings":{"default":{"default":"Harpune nach unten mit Barb nach links"}}},{"category":"Sm","key":"295A","mappings":{"default":{"default":"Linke Harpune mit Barb Up von der Bar"}}},{"category":"Sm","key":"295B","mappings":{"default":{"default":"Harpune nach rechts mit Barb Up von der Bar"}}},{"category":"Sm","key":"295C","mappings":{"default":{"default":"Harpune nach oben mit Barb rechts von der Bar"}}},{"category":"Sm","key":"295D","mappings":{"default":{"default":"Harpune nach unten mit Barb rechts von der Bar"}}},{"category":"Sm","key":"295E","mappings":{"default":{"default":"Linke Harpune mit Barb Down von der Bar"}}},{"category":"Sm","key":"295F","mappings":{"default":{"default":"Rechts Harpoon mit Barb Down von der Bar"}}},{"category":"Sm","key":"2960","mappings":{"default":{"default":"Harpune nach oben mit Barb links von der Bar"}}},{"category":"Sm","key":"2961","mappings":{"default":{"default":"Harpune nach unten mit Barb links von der Bar"}}},{"category":"Sm","key":"2962","mappings":{"default":{"default":"Harpune nach links mit Barb nach oben Harpune nach links mit Barb nach unten"}}},{"category":"Sm","key":"2963","mappings":{"default":{"default":"Harpune nach oben mit Barb links neben Harpune nach oben mit Barb rechts"}}},{"category":"Sm","key":"2964","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach oben Harpoon nach rechts mit Barb nach unten"}}},{"category":"Sm","key":"2965","mappings":{"default":{"default":"Harpune nach unten mit Barb nach unten Harpune nach unten mit Barb nach rechts"}}},{"category":"Sm","key":"2966","mappings":{"default":{"default":"Linke Harpune mit Barb Up Oben Rechts Harpoon mit Barb Up"}}},{"category":"Sm","key":"2967","mappings":{"default":{"default":"Linke Harpune mit Widerhaken nach unten Rechts Harpune mit Widerhaken nach unten"}}},{"category":"Sm","key":"2968","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach oben Harpune nach links mit Barb nach oben"}}},{"category":"Sm","key":"2969","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach unten Harpune nach links mit Barb nach unten"}}},{"category":"Sm","key":"296A","mappings":{"default":{"default":"Linke Harpune mit Barb Up Above Long Dash"}}},{"category":"Sm","key":"296B","mappings":{"default":{"default":"Linke Harpune mit Barb Down Under Long Dash"}}},{"category":"Sm","key":"296C","mappings":{"default":{"default":"Harpune nach rechts mit Barb Up Long Long Dash"}}},{"category":"Sm","key":"296D","mappings":{"default":{"default":"Harpune nach rechts mit Widerhaken nach unten"}}},{"category":"Sm","key":"296E","mappings":{"default":{"default":"Harpune nach oben mit Barb links neben Harpune nach unten mit Barb rechts"}}},{"category":"Sm","key":"296F","mappings":{"default":{"default":"Harpune nach unten mit Barb links neben Harpune nach oben mit Barb rechts"}}},{"category":"Sm","key":"297C","mappings":{"default":{"default":"linker Fischschwanz"}}},{"category":"Sm","key":"297D","mappings":{"default":{"default":"rechter Fischschwanz"}}},{"category":"Sm","key":"297E","mappings":{"default":{"default":"Fischschwanz"}}},{"category":"Sm","key":"297F","mappings":{"default":{"default":"Fischschwanz"}}}]
 ,
-"en/latin-mathfonts-italic.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"italic capital a","short":"italic cap a"},"mathspeak":{"default":"italic upper A"}},"key":"1D434"},{"category":"Lu","mappings":{"default":{"default":"italic capital b","short":"italic cap b"},"mathspeak":{"default":"italic upper B"}},"key":"1D435"},{"category":"Lu","mappings":{"default":{"default":"italic capital c","short":"italic cap c"},"mathspeak":{"default":"italic upper C"}},"key":"1D436"},{"category":"Lu","mappings":{"default":{"default":"italic capital d","short":"italic cap d"},"mathspeak":{"default":"italic upper D"}},"key":"1D437"},{"category":"Lu","mappings":{"default":{"default":"italic capital e","short":"italic cap e"},"mathspeak":{"default":"italic upper E"}},"key":"1D438"},{"category":"Lu","mappings":{"default":{"default":"italic capital f","short":"italic cap f"},"mathspeak":{"default":"italic upper F"}},"key":"1D439"},{"category":"Lu","mappings":{"default":{"default":"italic capital g","short":"italic cap g"},"mathspeak":{"default":"italic upper G"}},"key":"1D43A"},{"category":"Lu","mappings":{"default":{"default":"italic capital h","short":"italic cap h"},"mathspeak":{"default":"italic upper H"}},"key":"1D43B"},{"category":"Lu","mappings":{"default":{"default":"italic capital i","short":"italic cap i"},"mathspeak":{"default":"italic upper I"}},"key":"1D43C"},{"category":"Lu","mappings":{"default":{"default":"italic capital j","short":"italic cap j"},"mathspeak":{"default":"italic upper J"}},"key":"1D43D"},{"category":"Lu","mappings":{"default":{"default":"italic capital k","short":"italic cap k"},"mathspeak":{"default":"italic upper K"}},"key":"1D43E"},{"category":"Lu","mappings":{"default":{"default":"italic capital l","short":"italic cap l"},"mathspeak":{"default":"italic upper L"}},"key":"1D43F"},{"category":"Lu","mappings":{"default":{"default":"italic capital m","short":"italic cap m"},"mathspeak":{"default":"italic upper M"}},"key":"1D440"},{"category":"Lu","mappings":{"default":{"default":"italic capital n","short":"italic cap n"},"mathspeak":{"default":"italic upper N"}},"key":"1D441"},{"category":"Lu","mappings":{"default":{"default":"italic capital o","short":"italic cap o"},"mathspeak":{"default":"italic upper O"}},"key":"1D442"},{"category":"Lu","mappings":{"default":{"default":"italic capital p","short":"italic cap p"},"mathspeak":{"default":"italic upper P"}},"key":"1D443"},{"category":"Lu","mappings":{"default":{"default":"italic capital q","short":"italic cap q"},"mathspeak":{"default":"italic upper Q"}},"key":"1D444"},{"category":"Lu","mappings":{"default":{"default":"italic capital r","short":"italic cap r"},"mathspeak":{"default":"italic upper R"}},"key":"1D445"},{"category":"Lu","mappings":{"default":{"default":"italic capital s","short":"italic cap s"},"mathspeak":{"default":"italic upper S"}},"key":"1D446"},{"category":"Lu","mappings":{"default":{"default":"italic capital t","short":"italic cap t"},"mathspeak":{"default":"italic upper T"}},"key":"1D447"},{"category":"Lu","mappings":{"default":{"default":"italic capital u","short":"italic cap u"},"mathspeak":{"default":"italic upper U"}},"key":"1D448"},{"category":"Lu","mappings":{"default":{"default":"italic capital v","short":"italic cap v"},"mathspeak":{"default":"italic upper V"}},"key":"1D449"},{"category":"Lu","mappings":{"default":{"default":"italic capital w","short":"italic cap w"},"mathspeak":{"default":"italic upper W"}},"key":"1D44A"},{"category":"Lu","mappings":{"default":{"default":"italic capital x","short":"italic cap x"},"mathspeak":{"default":"italic upper X"}},"key":"1D44B"},{"category":"Lu","mappings":{"default":{"default":"italic capital y","short":"italic cap y"},"mathspeak":{"default":"italic upper Y"}},"key":"1D44C"},{"category":"Lu","mappings":{"default":{"default":"italic capital z","short":"italic cap z"},"mathspeak":{"default":"italic upper Z"}},"key":"1D44D"},{"category":"Ll","mappings":{"default":{"default":"italic small a","short":"italic a"}},"key":"1D44E"},{"category":"Ll","mappings":{"default":{"default":"italic small b","short":"italic b"}},"key":"1D44F"},{"category":"Ll","mappings":{"default":{"default":"italic small c","short":"italic c"}},"key":"1D450"},{"category":"Ll","mappings":{"default":{"default":"italic small d","short":"italic d"}},"key":"1D451"},{"category":"Ll","mappings":{"default":{"default":"italic small e","short":"italic e"}},"key":"1D452"},{"category":"Ll","mappings":{"default":{"default":"italic small f","short":"italic f"}},"key":"1D453"},{"category":"Ll","mappings":{"default":{"default":"italic small g","short":"italic g"}},"key":"1D454"},{"category":"Ll","mappings":{"default":{"default":"italic small h","short":"italic h"},"physics":{"default":"planck constant"}},"key":"210E"},{"category":"Ll","mappings":{"default":{"default":"italic small i","short":"italic i"}},"key":"1D456"},{"category":"Ll","mappings":{"default":{"default":"italic small j","short":"italic j"}},"key":"1D457"},{"category":"Ll","mappings":{"default":{"default":"italic small k","short":"italic k"}},"key":"1D458"},{"category":"Ll","mappings":{"default":{"default":"italic small l","short":"italic l"}},"key":"1D459"},{"category":"Ll","mappings":{"default":{"default":"italic small m","short":"italic m"}},"key":"1D45A"},{"category":"Ll","mappings":{"default":{"default":"italic small n","short":"italic n"}},"key":"1D45B"},{"category":"Ll","mappings":{"default":{"default":"italic small o","short":"italic o"}},"key":"1D45C"},{"category":"Ll","mappings":{"default":{"default":"italic small p","short":"italic p"}},"key":"1D45D"},{"category":"Ll","mappings":{"default":{"default":"italic small q","short":"italic q"}},"key":"1D45E"},{"category":"Ll","mappings":{"default":{"default":"italic small r","short":"italic r"}},"key":"1D45F"},{"category":"Ll","mappings":{"default":{"default":"italic small s","short":"italic s"}},"key":"1D460"},{"category":"Ll","mappings":{"default":{"default":"italic small t","short":"italic t"}},"key":"1D461"},{"category":"Ll","mappings":{"default":{"default":"italic small u","short":"italic u"}},"key":"1D462"},{"category":"Ll","mappings":{"default":{"default":"italic small v","short":"italic v"}},"key":"1D463"},{"category":"Ll","mappings":{"default":{"default":"italic small w","short":"italic w"}},"key":"1D464"},{"category":"Ll","mappings":{"default":{"default":"italic small x","short":"italic x"}},"key":"1D465"},{"category":"Ll","mappings":{"default":{"default":"italic small y","short":"italic y"}},"key":"1D466"},{"category":"Ll","mappings":{"default":{"default":"italic small z","short":"italic z"}},"key":"1D467"}]
+"de/symbols/math_non_characters.js": 
+[{"locale":"de"},{"category":"Ll","key":"210F","mappings":{"default":{"default":"Planck-Konstante über zwei Pi"}}},{"category":"So","key":"2114","mappings":{"default":{"default":"L B Balkensymbol"}}},{"category":"So","key":"2116","mappings":{"default":{"default":"Numero-Zeichen"}}},{"category":"So","key":"2117","mappings":{"default":{"default":"Tonaufnahme Copyright"}}},{"category":"So","key":"211E","mappings":{"default":{"default":"Rezept nehmen"}}},{"category":"So","key":"211F","mappings":{"default":{"default":"Antwort"}}},{"category":"So","key":"2120","mappings":{"default":{"default":"Dienstleistungsmarke"}}},{"category":"So","key":"2121","mappings":{"default":{"default":"Telefon Zeichen"}}},{"category":"So","key":"2122","mappings":{"default":{"default":"Markenzeichen"}}},{"category":"So","key":"2123","mappings":{"default":{"default":"Versicle"}}},{"category":"So","key":"2125","mappings":{"default":{"default":"Unze-Zeichen"}}},{"category":"Lu","key":"2126","mappings":{"default":{"default":"Ohm-Zeichen"}}},{"category":"So","key":"2127","mappings":{"default":{"default":"Umgekehrtes Ohm-Zeichen"}}},{"category":"Lu","key":"212A","mappings":{"default":{"default":"Kelvin-Zeichen"}}},{"category":"Lu","key":"212B","mappings":{"default":{"default":"Angstrom-Zeichen"}}},{"category":"So","key":"212E","mappings":{"default":{"default":"Geschätztes Symbol"}}},{"category":"Lu","key":"2132","mappings":{"default":{"default":"Umgeschlagenes Kapital F"}}},{"category":"Ll","key":"2139","mappings":{"default":{"default":"Informationsquelle"}}},{"category":"So","key":"213A","mappings":{"default":{"default":"Gedrehtes Kapital Q"}}},{"category":"So","key":"213B","mappings":{"default":{"default":"Faksimile-Zeichen"}}},{"category":"Sm","key":"2141","mappings":{"default":{"default":"Sans-Serif Capital G"}}},{"category":"Sm","key":"2142","mappings":{"default":{"default":"Sans-Serif Capital L"}}},{"category":"Sm","key":"2143","mappings":{"default":{"default":"Aufgehobenes Sans-Serif-Kapital L"}}},{"category":"Sm","key":"2144","mappings":{"default":{"default":"Sans-Serif Capital Y"}}}]
 ,
-"en/latin-mathfonts-monospace.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"monospace capital a","short":"monospace cap a"},"mathspeak":{"default":"monospace upper A"}},"key":"1D670"},{"category":"Lu","mappings":{"default":{"default":"monospace capital b","short":"monospace cap b"},"mathspeak":{"default":"monospace upper B"}},"key":"1D671"},{"category":"Lu","mappings":{"default":{"default":"monospace capital c","short":"monospace cap c"},"mathspeak":{"default":"monospace upper C"}},"key":"1D672"},{"category":"Lu","mappings":{"default":{"default":"monospace capital d","short":"monospace cap d"},"mathspeak":{"default":"monospace upper D"}},"key":"1D673"},{"category":"Lu","mappings":{"default":{"default":"monospace capital e","short":"monospace cap e"},"mathspeak":{"default":"monospace upper E"}},"key":"1D674"},{"category":"Lu","mappings":{"default":{"default":"monospace capital f","short":"monospace cap f"},"mathspeak":{"default":"monospace upper F"}},"key":"1D675"},{"category":"Lu","mappings":{"default":{"default":"monospace capital g","short":"monospace cap g"},"mathspeak":{"default":"monospace upper G"}},"key":"1D676"},{"category":"Lu","mappings":{"default":{"default":"monospace capital h","short":"monospace cap h"},"mathspeak":{"default":"monospace upper H"}},"key":"1D677"},{"category":"Lu","mappings":{"default":{"default":"monospace capital i","short":"monospace cap i"},"mathspeak":{"default":"monospace upper I"}},"key":"1D678"},{"category":"Lu","mappings":{"default":{"default":"monospace capital j","short":"monospace cap j"},"mathspeak":{"default":"monospace upper J"}},"key":"1D679"},{"category":"Lu","mappings":{"default":{"default":"monospace capital k","short":"monospace cap k"},"mathspeak":{"default":"monospace upper K"}},"key":"1D67A"},{"category":"Lu","mappings":{"default":{"default":"monospace capital l","short":"monospace cap l"},"mathspeak":{"default":"monospace upper L"}},"key":"1D67B"},{"category":"Lu","mappings":{"default":{"default":"monospace capital m","short":"monospace cap m"},"mathspeak":{"default":"monospace upper M"}},"key":"1D67C"},{"category":"Lu","mappings":{"default":{"default":"monospace capital n","short":"monospace cap n"},"mathspeak":{"default":"monospace upper N"}},"key":"1D67D"},{"category":"Lu","mappings":{"default":{"default":"monospace capital o","short":"monospace cap o"},"mathspeak":{"default":"monospace upper O"}},"key":"1D67E"},{"category":"Lu","mappings":{"default":{"default":"monospace capital p","short":"monospace cap p"},"mathspeak":{"default":"monospace upper P"}},"key":"1D67F"},{"category":"Lu","mappings":{"default":{"default":"monospace capital q","short":"monospace cap q"},"mathspeak":{"default":"monospace upper Q"}},"key":"1D680"},{"category":"Lu","mappings":{"default":{"default":"monospace capital r","short":"monospace cap r"},"mathspeak":{"default":"monospace upper R"}},"key":"1D681"},{"category":"Lu","mappings":{"default":{"default":"monospace capital s","short":"monospace cap s"},"mathspeak":{"default":"monospace upper S"}},"key":"1D682"},{"category":"Lu","mappings":{"default":{"default":"monospace capital t","short":"monospace cap t"},"mathspeak":{"default":"monospace upper T"}},"key":"1D683"},{"category":"Lu","mappings":{"default":{"default":"monospace capital u","short":"monospace cap u"},"mathspeak":{"default":"monospace upper U"}},"key":"1D684"},{"category":"Lu","mappings":{"default":{"default":"monospace capital v","short":"monospace cap v"},"mathspeak":{"default":"monospace upper V"}},"key":"1D685"},{"category":"Lu","mappings":{"default":{"default":"monospace capital w","short":"monospace cap w"},"mathspeak":{"default":"monospace upper W"}},"key":"1D686"},{"category":"Lu","mappings":{"default":{"default":"monospace capital x","short":"monospace cap x"},"mathspeak":{"default":"monospace upper X"}},"key":"1D687"},{"category":"Lu","mappings":{"default":{"default":"monospace capital y","short":"monospace cap y"},"mathspeak":{"default":"monospace upper Y"}},"key":"1D688"},{"category":"Lu","mappings":{"default":{"default":"monospace capital z","short":"monospace cap z"},"mathspeak":{"default":"monospace upper Z"}},"key":"1D689"},{"category":"Ll","mappings":{"default":{"default":"monospace small a","short":"monospace a"}},"key":"1D68A"},{"category":"Ll","mappings":{"default":{"default":"monospace small b","short":"monospace b"}},"key":"1D68B"},{"category":"Ll","mappings":{"default":{"default":"monospace small c","short":"monospace c"}},"key":"1D68C"},{"category":"Ll","mappings":{"default":{"default":"monospace small d","short":"monospace d"}},"key":"1D68D"},{"category":"Ll","mappings":{"default":{"default":"monospace small e","short":"monospace e"}},"key":"1D68E"},{"category":"Ll","mappings":{"default":{"default":"monospace small f","short":"monospace f"}},"key":"1D68F"},{"category":"Ll","mappings":{"default":{"default":"monospace small g","short":"monospace g"}},"key":"1D690"},{"category":"Ll","mappings":{"default":{"default":"monospace small h","short":"monospace h"}},"key":"1D691"},{"category":"Ll","mappings":{"default":{"default":"monospace small i","short":"monospace i"}},"key":"1D692"},{"category":"Ll","mappings":{"default":{"default":"monospace small j","short":"monospace j"}},"key":"1D693"},{"category":"Ll","mappings":{"default":{"default":"monospace small k","short":"monospace k"}},"key":"1D694"},{"category":"Ll","mappings":{"default":{"default":"monospace small l","short":"monospace l"}},"key":"1D695"},{"category":"Ll","mappings":{"default":{"default":"monospace small m","short":"monospace m"}},"key":"1D696"},{"category":"Ll","mappings":{"default":{"default":"monospace small n","short":"monospace n"}},"key":"1D697"},{"category":"Ll","mappings":{"default":{"default":"monospace small o","short":"monospace o"}},"key":"1D698"},{"category":"Ll","mappings":{"default":{"default":"monospace small p","short":"monospace p"}},"key":"1D699"},{"category":"Ll","mappings":{"default":{"default":"monospace small q","short":"monospace q"}},"key":"1D69A"},{"category":"Ll","mappings":{"default":{"default":"monospace small r","short":"monospace r"}},"key":"1D69B"},{"category":"Ll","mappings":{"default":{"default":"monospace small s","short":"monospace s"}},"key":"1D69C"},{"category":"Ll","mappings":{"default":{"default":"monospace small t","short":"monospace t"}},"key":"1D69D"},{"category":"Ll","mappings":{"default":{"default":"monospace small u","short":"monospace u"}},"key":"1D69E"},{"category":"Ll","mappings":{"default":{"default":"monospace small v","short":"monospace v"}},"key":"1D69F"},{"category":"Ll","mappings":{"default":{"default":"monospace small w","short":"monospace w"}},"key":"1D6A0"},{"category":"Ll","mappings":{"default":{"default":"monospace small x","short":"monospace x"}},"key":"1D6A1"},{"category":"Ll","mappings":{"default":{"default":"monospace small y","short":"monospace y"}},"key":"1D6A2"},{"category":"Ll","mappings":{"default":{"default":"monospace small z","short":"monospace z"}},"key":"1D6A3"}]
+"de/symbols/math_symbols.js": 
+[{"locale":"de"},{"key":"0021","mappings":{"default":{"default":"Fakultät"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"Anführungszeichen"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"Nummernzeichen"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"Dollar"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"Prozent"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"und"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"Hochkomma"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"times"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"plus"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"Komma"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"minus"}},"category":"Pd"},{"category":"Po","key":"002E","mappings":{"default":{"default":"Punkt"}}},{"key":"002F","mappings":{"default":{"default":"Schrägstrich"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"Doppelpunkt"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"Strichpunkt"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"kleiner als"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"ist gleich"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"größer als"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"Fragezeichen"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"Klammeraffe"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"Umgekehrter Schrägstrich"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circumflex"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"Unterstrich"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"Gravis Akzent"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"senkrechter Strich"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"Umgekehrtes Ausrufezeichen"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"Cent"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"Pfund"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"währungszeichen"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"gebrochene Linie"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"Abschnitt"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"diaeresis"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"Copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"weibliches Ordnungszeichen"}},"category":"Lo"},{"category":"Pi","key":"00AB","mappings":{"default":{"default":"Nach links zeigendes doppeltes spitzes Anführungszeichen"}}},{"key":"00AC","mappings":{"default":{"default":"nicht"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"registered sign"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"Überstrich","alternative":"Makron"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"Grad"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"plus minus"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"acute accent"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"micro sign"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"Paragraf"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"mal","alternative":"Punkt mittig"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"Cedille"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"Männliches Ordnungszeichen"}},"category":"Lo"},{"category":"Pf","key":"00BB","mappings":{"default":{"default":"Nach rechts zeigendes doppeltes spitzes Anführungszeichen"}}},{"key":"00BF","mappings":{"default":{"default":"umgekehrtes Fragezeichen"}},"category":"Po"},{"category":"Sm","key":"00D7","mappings":{"default":{"default":"mal"}}},{"category":"Sm","key":"00F7","mappings":{"default":{"default":"geteilt durch"}}},{"key":"02D8","mappings":{"default":{"default":"Breve"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"Überpunkt"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"Überring"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"Ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"Tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"Doppleakutakzent"}},"category":"Sk"},{"category":"Pd","key":"2010","mappings":{"default":{"default":"Bindestrich"}}},{"category":"Pd","key":"2011","mappings":{"default":{"default":"Nicht brechender Bindestrich"}}},{"category":"Pd","key":"2012","mappings":{"default":{"default":"Abbildung Bindestrich"}}},{"category":"Pd","key":"2013","mappings":{"default":{"default":"En Dash"}}},{"category":"Pd","key":"2014","mappings":{"default":{"default":"EM Dash"}}},{"category":"Pd","key":"2015","mappings":{"default":{"default":"Horizontale Linie"}}},{"category":"Po","key":"2016","mappings":{"default":{"default":"Doppelte vertikale Linie"}}},{"category":"Po","key":"2017","mappings":{"default":{"default":"Doppelter Unterstrich"}}},{"category":"Pi","key":"2018","mappings":{"default":{"default":"Linkes einfaches Anführungszeichen"}}},{"category":"Pf","key":"2019","mappings":{"default":{"default":"Rechtes einfaches Anführungszeichen"}}},{"category":"Ps","key":"201A","mappings":{"default":{"default":"Einzelnes rechtes Anführungszeichen"}}},{"category":"Pi","key":"201B","mappings":{"default":{"default":"Einzelnes linkes Anführungszeichen"}}},{"category":"Pi","key":"201C","mappings":{"default":{"default":"Linkes doppeltes Anführungszeichen"}}},{"category":"Pf","key":"201D","mappings":{"default":{"default":"Rechtes doppeltes Anführungszeichen"}}},{"category":"Ps","key":"201E","mappings":{"default":{"default":"Doppeltes rechtes Anführungszeichen"}}},{"category":"Pi","key":"201F","mappings":{"default":{"default":"Doppeltes linkes Anführungszeichen"}}},{"category":"Po","key":"2020","mappings":{"default":{"default":"Dolch"}}},{"category":"Po","key":"2021","mappings":{"default":{"default":"Doppelter Dolch"}}},{"category":"Po","key":"2022","mappings":{"default":{"default":"Kugel"}}},{"category":"Po","key":"2023","mappings":{"default":{"default":"Dreieckige Kugel"}}},{"category":"Po","key":"2024","mappings":{"default":{"default":"Einzelpunkt"}}},{"category":"Po","key":"2025","mappings":{"default":{"default":"zwei Punkte"}}},{"category":"Po","key":"2026","mappings":{"default":{"default":"horizontale Ellipsis"}}},{"category":"Po","key":"2027","mappings":{"default":{"default":"Trennungspunkt"}}},{"category":"Po","key":"2030","mappings":{"default":{"default":"promille"}}},{"category":"Po","key":"2031","mappings":{"default":{"default":"pro Zehntausend"}}},{"key":"2032","mappings":{"default":{"default":"Strich"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"zwei Strich"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"drei Strich"}},"category":"Po"},{"category":"Po","key":"2035","mappings":{"default":{"default":"strich invertiert"}}},{"category":"Po","key":"2036","mappings":{"default":{"default":"zwei Strich invertiert"}}},{"category":"Po","key":"2037","mappings":{"default":{"default":"drei Strich invertiert"}}},{"category":"Po","key":"2038","mappings":{"default":{"default":"Caret"}}},{"category":"Pi","key":"2039","mappings":{"default":{"default":"Einfacher nach links zeigender Winkel Anführungszeichen"}}},{"category":"Pf","key":"203A","mappings":{"default":{"default":"Einzelne Nach-rechts-Winkel-Anführungszeichen"}}},{"category":"Po","key":"203B","mappings":{"default":{"default":"Referenzmarke"}}},{"category":"Po","key":"203C","mappings":{"default":{"default":"Doppelausrufezeichen"}}},{"category":"Po","key":"203D","mappings":{"default":{"default":"Interrobang"}}},{"category":"Po","key":"203E","mappings":{"default":{"default":"Überschrift"}}},{"category":"Pc","key":"203F","mappings":{"default":{"default":"Undertie"}}},{"category":"Pc","key":"2040","mappings":{"default":{"default":"Zeichen Krawatte"}}},{"category":"Po","key":"2041","mappings":{"default":{"default":"Caret-Einfügungspunkt"}}},{"category":"Po","key":"2042","mappings":{"default":{"default":"Asterism"}}},{"category":"Po","key":"2043","mappings":{"default":{"default":"Bindestrich Kugel"}}},{"category":"Sm","key":"2044","mappings":{"default":{"default":"Fraktions-Schrägstrich"}}},{"category":"Po","key":"2047","mappings":{"default":{"default":"Doppel-Fragezeichen"}}},{"category":"Po","key":"2048","mappings":{"default":{"default":"Fragezeichen für Ausrufezeichen"}}},{"category":"Po","key":"2049","mappings":{"default":{"default":"Ausrufezeichen"}}},{"category":"Po","key":"204B","mappings":{"default":{"default":"Umgekehrtes Pilcrow-Zeichen"}}},{"category":"Po","key":"204C","mappings":{"default":{"default":"Schwarze Kugel nach links"}}},{"category":"Po","key":"204D","mappings":{"default":{"default":"Schwarze Kugel nach rechts"}}},{"category":"Po","key":"204E","mappings":{"default":{"default":"Niedriges Sternchen"}}},{"category":"Po","key":"204F","mappings":{"default":{"default":"Umgekehrtes Semikolon"}}},{"category":"Po","key":"2050","mappings":{"default":{"default":"Nahansicht"}}},{"category":"Po","key":"2051","mappings":{"default":{"default":"Zwei Sternchen vertikal ausgerichtet"}}},{"category":"Sm","key":"2052","mappings":{"default":{"default":"Kommerzielles Minuszeichen"}}},{"category":"Po","key":"2053","mappings":{"default":{"default":"Swing Dash"}}},{"category":"Pc","key":"2054","mappings":{"default":{"default":"Inverted Undertie"}}},{"category":"Po","key":"2055","mappings":{"default":{"default":"Blume Interpunktionszeichen"}}},{"category":"Po","key":"2056","mappings":{"default":{"default":"Drei Punkt-Interpunktion"}}},{"key":"2057","mappings":{"default":{"default":"quadruple prime"}},"category":"Po"},{"category":"Po","key":"2058","mappings":{"default":{"default":"Vierpunkt-Interpunktion"}}},{"category":"Po","key":"2059","mappings":{"default":{"default":"Fünf Punkt-Interpunktion"}}},{"category":"Po","key":"205A","mappings":{"default":{"default":"Zwei Punkt-Interpunktion"}}},{"category":"Po","key":"205B","mappings":{"default":{"default":"Vier-Punkt-Markierung"}}},{"category":"Po","key":"205C","mappings":{"default":{"default":"Gepunktetes Kreuz"}}},{"category":"Po","key":"205D","mappings":{"default":{"default":"Tricolon"}}},{"category":"Po","key":"205E","mappings":{"default":{"default":"Vertikale vier Punkte"}}},{"category":"Sm","key":"207A","mappings":{"default":{"default":"Hochgestelltes Pluszeichen"}}},{"category":"Sm","key":"207B","mappings":{"default":{"default":"Hochgestelltes Minus"}}},{"category":"Sm","key":"207C","mappings":{"default":{"default":"Hochgestelltes Gleichheitszeichen"}}},{"category":"Ps","key":"207D","mappings":{"default":{"default":"Hochgestellte linke Klammer"}}},{"category":"Pe","key":"207E","mappings":{"default":{"default":"Hochgestellte rechte Klammer"}}},{"category":"Sm","key":"208A","mappings":{"default":{"default":"Index Pluszeichen"}}},{"category":"Sm","key":"208B","mappings":{"default":{"default":"Tiefgestelltes Minus"}}},{"category":"Sm","key":"208C","mappings":{"default":{"default":"Tiefgestelltes Gleichheitszeichen"}}},{"category":"Ps","key":"208D","mappings":{"default":{"default":"Tiefgestellte linke Klammer"}}},{"category":"Pe","key":"208E","mappings":{"default":{"default":"Tiefgestellte rechte Klammer"}}},{"category":"So","key":"214A","mappings":{"default":{"default":"Grundstücksgrenze"}}},{"category":"Sm","key":"214B","mappings":{"default":{"default":"Ampersand gedreht"}}},{"category":"So","key":"214C","mappings":{"default":{"default":"Pro Zeichen"}}},{"category":"So","key":"214D","mappings":{"default":{"default":"Aktieselskab"}}},{"category":"Ll","key":"214E","mappings":{"default":{"default":"Gedreht klein F"}}},{"key":"2200","mappings":{"default":{"default":"für alle"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"Komplement"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"es gibt"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"es gibt nicht"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"leere Menge"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"Differenz"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"Element von"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"nicht Element von"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"Element von"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"hat als Element"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"hat nicht als Element"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"hat als Element"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"Ende Beweis"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"Produkt"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"Koprodukt"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"Summe"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"minus"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"minus plus"}},"category":"Sm"},{"category":"Sm","key":"2214","mappings":{"default":{"default":"Plus mit Punkt"}}},{"key":"2215","mappings":{"default":{"default":"Division"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"Mengendifferenz"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"Sternoperator"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"verknüpft mit"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"Kreisoperator"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"Quadratwurzelzeichen"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"Kubikwurzelzeichen"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"vierte Wurzel"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proportional zu"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"unendlich"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"rechter Winkel"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"Winkel"}},"category":"Sm"},{"category":"Sm","key":"2221","mappings":{"default":{"default":"gerichteter Winkel"}}},{"category":"Sm","key":"2222","mappings":{"default":{"default":"Raumwinkel"}}},{"key":"2223","mappings":{"default":{"default":"teilt"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"teilt nicht"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"parallel zu"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"nicht parallel zu"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"und"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"oder"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"Durchschnitt"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"Vereinigung"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"Integral"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"Doppelintegral"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"Dreifachintegral"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"Randintegral"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"Oberflächenintegral"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"Volumenintegral"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"Integral im Uhrzeigersinn"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"Kurvenintegral im Uhrzeigersinn"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"Kurvenintegral im Gegenuhrzeigersinn"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"folglich"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"weil"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"Verhältnis"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"Proportion"}},"category":"Sm"},{"category":"Sm","key":"2238","mappings":{"default":{"default":"Minus mit Punkt"}}},{"category":"Sm","key":"2239","mappings":{"default":{"default":"Überschuss"}}},{"key":"223A","mappings":{"default":{"default":"geometrische Proportion"}},"category":"Sm"},{"category":"Sm","key":"223B","mappings":{"default":{"default":"homothetisch"}}},{"category":"Sm","key":"223C","mappings":{"default":{"default":"Tildeoperator"}}},{"category":"Sm","key":"223D","mappings":{"default":{"default":"Umgekehrte Tilde"}}},{"category":"Sm","key":"223E","mappings":{"default":{"default":"Umgekehrtes stummes S"}}},{"category":"Sm","key":"223F","mappings":{"default":{"default":"Sinuswelle"}}},{"category":"Sm","key":"2240","mappings":{"default":{"default":"Kranzprodukt"}}},{"category":"Sm","key":"2241","mappings":{"default":{"default":"durchgestrichene Tilde"}}},{"category":"Sm","key":"2242","mappings":{"default":{"default":"Minus über Tilde"}}},{"key":"2243","mappings":{"default":{"default":"asymptotisch gleich"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"nicht asymptotisch gleich"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"ungefähr gleich"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"ungefähr, aber nicht ganz gleich"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"weder ungefähr noch ganz gleich"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"beinahe gleich"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"nicht beinahe gleich"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"beinahe gleich oder gleich"}},"category":"Sm"},{"category":"Sm","key":"224B","mappings":{"default":{"default":"dreifache Tilde"}}},{"category":"Sm","key":"224C","mappings":{"default":{"default":"alles gleich"}}},{"key":"224D","mappings":{"default":{"default":"äquivalent zu"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"geometrisch äquivalent zu"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"Differenz zwischen"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"nähert sich der Grenze"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"geometrisch gleich"}},"category":"Sm"},{"category":"Sm","key":"2252","mappings":{"default":{"default":"Ungefähr gleich oder das Bild von"}}},{"category":"Sm","key":"2253","mappings":{"default":{"default":"Bild von oder ungefähr gleich"}}},{"key":"2254","mappings":{"default":{"default":"definiert als"}},"category":"Sm"},{"category":"Sm","key":"2255","mappings":{"default":{"default":"definiert als von rechts"}}},{"category":"Sm","key":"2256","mappings":{"default":{"default":"ungefähr gleich"}}},{"category":"Sm","key":"2257","mappings":{"default":{"default":"ungefähr gleich"}}},{"key":"2258","mappings":{"default":{"default":"entspricht"}},"category":"Sm"},{"category":"Sm","key":"2259","mappings":{"default":{"default":"entspricht"}}},{"category":"Sm","key":"225A","mappings":{"default":{"default":"gleichwinklig zu"}}},{"category":"Sm","key":"225B","mappings":{"default":{"default":"gleich mit Stern"}}},{"category":"Sm","key":"225C","mappings":{"default":{"default":"gleich mit Delta"}}},{"key":"225D","mappings":{"default":{"default":"definitionsgemäß gleich"}},"category":"Sm"},{"category":"Sm","key":"225E","mappings":{"default":{"default":"gemessen mit"}}},{"category":"Sm","key":"225F","mappings":{"default":{"default":"vielleicht gleich"}}},{"key":"2260","mappings":{"default":{"default":"ungleich"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"kongruent mit"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"nicht kongruent mit"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"genau äquivalent mit"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"kleiner oder gleich"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"größer oder gleich"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"kleiner als über gleich"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"größer als über gleich"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"kleiner als, aber nicht gleich"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"größer als, aber nicht gleich"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"viel kleiner als"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"viel größer als"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"zwischen"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"nicht äquivalent mit"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"nicht kleiner als"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"nicht größer als"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"weder kleiner als noch gleich"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"weder größer als noch gleich"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"kleiner als oder äquivalent"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"größer als oder äquivalent"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"weder kleiner als noch äquivalent"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"weder größer als noch äquivalent"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"kleiner oder größer als"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"größer oder kleiner als"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"weder kleiner noch größer als"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"weder größer noch kleiner als"}},"category":"Sm"},{"category":"Sm","key":"227A","mappings":{"default":{"default":"vorangehend"}}},{"category":"Sm","key":"227B","mappings":{"default":{"default":"nachfolgend"}}},{"category":"Sm","key":"227C","mappings":{"default":{"default":"vorangehend oder gleich"}}},{"category":"Sm","key":"227D","mappings":{"default":{"default":"nachfolgend oder gleich"}}},{"category":"Sm","key":"227E","mappings":{"default":{"default":"vorangehend oder äquivalent"}}},{"category":"Sm","key":"227F","mappings":{"default":{"default":"nachfolgend oder äquivalent"}}},{"category":"Sm","key":"2280","mappings":{"default":{"default":"nicht vorangehend"}}},{"category":"Sm","key":"2281","mappings":{"default":{"default":"nicht nachfolgend"}}},{"category":"Sm","key":"2282","mappings":{"default":{"default":"echte Teilmenge von"}}},{"category":"Sm","key":"2283","mappings":{"default":{"default":"echte Obermenge von"}}},{"category":"Sm","key":"2284","mappings":{"default":{"default":"keine echte Teilmenge von"}}},{"category":"Sm","key":"2285","mappings":{"default":{"default":"kein echte Obermenge von"}}},{"category":"Sm","key":"2286","mappings":{"default":{"default":"Teilmenge oder gleich"}}},{"category":"Sm","key":"2287","mappings":{"default":{"default":"Obermenge oder gleich"}}},{"category":"Sm","key":"2288","mappings":{"default":{"default":"weder Teilmenge noch gleich"}}},{"category":"Sm","key":"2289","mappings":{"default":{"default":"weder Obermenge noch gleich"}}},{"category":"Sm","key":"228A","mappings":{"default":{"default":"Teilmenge aber nicht gleich"}}},{"category":"Sm","key":"228B","mappings":{"default":{"default":"Obermenge aber nicht gleich"}}},{"category":"Sm","key":"228C","mappings":{"default":{"default":"Multimenge"}}},{"category":"Sm","key":"228D","mappings":{"default":{"default":"Multimengenmultiplikation"}}},{"category":"Sm","key":"228E","mappings":{"default":{"default":"Multimengenvereinigung"}}},{"category":"Sm","key":"228F","mappings":{"default":{"default":"quadratisches Bild von"}}},{"category":"Sm","key":"2290","mappings":{"default":{"default":"quadratisches Original von"}}},{"category":"Sm","key":"2291","mappings":{"default":{"default":"quadratisches Bild oder gleich"}}},{"category":"Sm","key":"2292","mappings":{"default":{"default":"quadratisches Original oder gleich"}}},{"category":"Sm","key":"2293","mappings":{"default":{"default":"quadratische Schnittmenge"}}},{"category":"Sm","key":"2294","mappings":{"default":{"default":"quadratische VereinigungTasse"}}},{"category":"Sm","key":"2295","mappings":{"default":{"default":"eingekreistes Plus"}}},{"category":"Sm","key":"2296","mappings":{"default":{"default":"eingekreistes Minus"}}},{"category":"Sm","key":"2297","mappings":{"default":{"default":"eingekreiste Multiplikation"}}},{"category":"Sm","key":"2298","mappings":{"default":{"default":"eingekreiste Division"}}},{"category":"Sm","key":"2299","mappings":{"default":{"default":"eingekreister Punktoperator"}}},{"category":"Sm","key":"229A","mappings":{"default":{"default":"eingekreister Ringoperator"}}},{"category":"Sm","key":"229B","mappings":{"default":{"default":"eingekreister Sternoperator"}}},{"category":"Sm","key":"229C","mappings":{"default":{"default":"eingekreistes Gleich"}}},{"category":"Sm","key":"229D","mappings":{"default":{"default":"eingekreister Gedankenstrich"}}},{"category":"Sm","key":"229E","mappings":{"default":{"default":"eingerahmtes Plus"}}},{"category":"Sm","key":"229F","mappings":{"default":{"default":"eingerahmtes Minus"}}},{"category":"Sm","key":"22A0","mappings":{"default":{"default":"eingerahmte Multiplikation"}}},{"category":"Sm","key":"22A1","mappings":{"default":{"default":"eingerahmter Punktoperator"}}},{"category":"Sm","key":"22A2","mappings":{"default":{"default":"ergibt"}}},{"category":"Sm","key":"22A3","mappings":{"default":{"default":"ergibt nicht"}}},{"category":"Sm","key":"22A4","mappings":{"default":{"default":"senkrecht von"}}},{"category":"Sm","key":"22A5","mappings":{"default":{"default":"senkrecht auf"}}},{"category":"Sm","key":"22A6","mappings":{"default":{"default":"Behauptung"}}},{"category":"Sm","key":"22A7","mappings":{"default":{"default":"Model"}}},{"category":"Sm","key":"22A8","mappings":{"default":{"default":"wahr"}}},{"category":"Sm","key":"22A9","mappings":{"default":{"default":"erzwingen"}}},{"category":"Sm","key":"22AA","mappings":{"default":{"default":"dreifache vertikale Leiste mit rechtem Drehkreuz"}}},{"category":"Sm","key":"22AB","mappings":{"default":{"default":"doppelte vertikale Leiste mit doppeltem rechtem Drehkreuz"}}},{"category":"Sm","key":"22AC","mappings":{"default":{"default":"beweist nicht"}}},{"category":"Sm","key":"22AD","mappings":{"default":{"default":"nicht wahr"}}},{"category":"Sm","key":"22AE","mappings":{"default":{"default":"nicht erzwingen"}}},{"category":"Sm","key":"22AF","mappings":{"default":{"default":"negierte doppelte vertikale Leiste mit doppeltem rechten Drehkreuz"}}},{"category":"Sm","key":"22B0","mappings":{"default":{"default":"vorangehend in Relation"}}},{"category":"Sm","key":"22B1","mappings":{"default":{"default":"nachfolgend in Relation"}}},{"category":"Sm","key":"22B2","mappings":{"default":{"default":"normale Untergruppe"}}},{"category":"Sm","key":"22B3","mappings":{"default":{"default":"enthält normale Untergruppe"}}},{"category":"Sm","key":"22B4","mappings":{"default":{"default":"normale Untergruppe von oder gleich"}}},{"category":"Sm","key":"22B5","mappings":{"default":{"default":"enthält normale Untergruppe oder gleich"}}},{"category":"Sm","key":"22B6","mappings":{"default":{"default":"Original von"}}},{"category":"Sm","key":"22B7","mappings":{"default":{"default":"Bild von"}}},{"category":"Sm","key":"22B8","mappings":{"default":{"default":"Mehrfachzuordnung"}}},{"category":"Sm","key":"22B9","mappings":{"default":{"default":"hermitesch konjugierte Matrix"}}},{"category":"Sm","key":"22BA","mappings":{"default":{"default":"einschalten"}}},{"category":"Sm","key":"22BB","mappings":{"default":{"default":"Ausschließendes Oder"}}},{"category":"Sm","key":"22BC","mappings":{"default":{"default":"Nand verknüpft mit"}}},{"category":"Sm","key":"22BD","mappings":{"default":{"default":"Nor verknüpft mit"}}},{"category":"Sm","key":"22BF","mappings":{"default":{"default":"rechtwinkliges Dreieck"}}},{"category":"Sm","key":"22C0","mappings":{"default":{"default":"N-stufiges logisches Und"}}},{"category":"Sm","key":"22C1","mappings":{"default":{"default":"N-stufiges logisches Oder"}}},{"category":"Sm","key":"22C2","mappings":{"default":{"default":"N-stufiger Durchschnitt"}}},{"category":"Sm","key":"22C3","mappings":{"default":{"default":"N-stufige Vereinigung"}}},{"category":"Sm","key":"22C4","mappings":{"default":{"default":"Rautenoperator"}}},{"category":"Sm","key":"22C5","mappings":{"default":{"default":"mal","alternative":"Multiplikationspunkt"}}},{"category":"Sm","key":"22C6","mappings":{"default":{"default":"Sternoperator"}}},{"category":"Sm","key":"22C7","mappings":{"default":{"default":"Divisionsanzahl"}}},{"category":"Sm","key":"22C8","mappings":{"default":{"default":"Schleife"}}},{"category":"Sm","key":"22C9","mappings":{"default":{"default":"linkes halbdirektes Produkt"}}},{"category":"Sm","key":"22CA","mappings":{"default":{"default":"rechtes halbdirektes Produkt"}}},{"category":"Sm","key":"22CB","mappings":{"default":{"default":"linkes halbdirektes Produkt"}}},{"category":"Sm","key":"22CC","mappings":{"default":{"default":"rechtes halbdirektes Produkt"}}},{"category":"Sm","key":"22CD","mappings":{"default":{"default":"umgekehrte Tilde gleich"}}},{"category":"Sm","key":"22CE","mappings":{"default":{"default":"geschweiftes logisches Oder"}}},{"category":"Sm","key":"22CF","mappings":{"default":{"default":"geschweiftes logisches Und"}}},{"category":"Sm","key":"22D0","mappings":{"default":{"default":"doppelte Teilmenge"}}},{"category":"Sm","key":"22D1","mappings":{"default":{"default":"doppelte Obermenge"}}},{"category":"Sm","key":"22D2","mappings":{"default":{"default":"doppelter Durchschnitt"}}},{"category":"Sm","key":"22D3","mappings":{"default":{"default":"doppelte Vereinigung"}}},{"category":"Sm","key":"22D4","mappings":{"default":{"default":"echter Durchschnitt"}}},{"category":"Sm","key":"22D5","mappings":{"default":{"default":"gleich und parallel"}}},{"category":"Sm","key":"22D6","mappings":{"default":{"default":"kleiner als mit Punkt"}}},{"category":"Sm","key":"22D7","mappings":{"default":{"default":"größer als mit Punkt"}}},{"category":"Sm","key":"22D8","mappings":{"default":{"default":"sehr viel kleiner als"}}},{"category":"Sm","key":"22D9","mappings":{"default":{"default":"sehr viel größer als"}}},{"category":"Sm","key":"22DA","mappings":{"default":{"default":"kleiner als, gleich oder größer als"}}},{"category":"Sm","key":"22DB","mappings":{"default":{"default":"größer als, gleich oder kleiner als"}}},{"category":"Sm","key":"22DC","mappings":{"default":{"default":"gleich oder kleiner als"}}},{"category":"Sm","key":"22DD","mappings":{"default":{"default":"gleich oder größer als"}}},{"category":"Sm","key":"22DE","mappings":{"default":{"default":"gleich oder vorangehend"}}},{"category":"Sm","key":"22DF","mappings":{"default":{"default":"gleich oder nachfolgend"}}},{"category":"Sm","key":"22E0","mappings":{"default":{"default":"weder vorangehend oder gleich"}}},{"category":"Sm","key":"22E1","mappings":{"default":{"default":"weder nachfolgend oder gleich"}}},{"category":"Sm","key":"22E2","mappings":{"default":{"default":"kein quadratisches Bild oder gleich"}}},{"category":"Sm","key":"22E3","mappings":{"default":{"default":"kein quadratisches Original oder gleich"}}},{"category":"Sm","key":"22E4","mappings":{"default":{"default":"quadratisches Bild oder nicht gleich"}}},{"category":"Sm","key":"22E5","mappings":{"default":{"default":"quadratisches Original oder nicht gleich"}}},{"category":"Sm","key":"22E6","mappings":{"default":{"default":"kleiner als, aber nicht äquivalent"}}},{"category":"Sm","key":"22E7","mappings":{"default":{"default":"größer als, aber nicht äquivalent"}}},{"category":"Sm","key":"22E8","mappings":{"default":{"default":"vorangehend, aber nicht äquivalent"}}},{"category":"Sm","key":"22E9","mappings":{"default":{"default":"nachfolgend, aber nicht äquivalent"}}},{"category":"Sm","key":"22EA","mappings":{"default":{"default":"nicht normale Untergruppe von"}}},{"category":"Sm","key":"22EB","mappings":{"default":{"default":"enthält keine normale Untergruppe"}}},{"category":"Sm","key":"22EC","mappings":{"default":{"default":"keine normale Untergruppe von oder gleich"}}},{"category":"Sm","key":"22ED","mappings":{"default":{"default":"enthält nicht als normale Untergruppe oder gleich"}}},{"category":"Sm","key":"22EE","mappings":{"default":{"default":"Vertikale Ellipsis"}}},{"category":"Sm","key":"22EF","mappings":{"default":{"default":"Zentrierte horizontale Ellipse"}}},{"category":"Sm","key":"22F0","mappings":{"default":{"default":"Diagonale Ellipse unten links nach oben rechts"}}},{"category":"Sm","key":"22F1","mappings":{"default":{"default":"Diagonale Ellipse, oben links nach unten rechts"}}},{"category":"Sm","key":"22F2","mappings":{"default":{"default":"Element mit langem horizontalen Strich"}}},{"category":"Sm","key":"22F3","mappings":{"default":{"default":"Element mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"category":"Sm","key":"22F4","mappings":{"default":{"default":"kleines Element mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"category":"Sm","key":"22F5","mappings":{"default":{"default":"Element mit Punkt"}}},{"category":"Sm","key":"22F6","mappings":{"default":{"default":"Element mit Überstrich"}}},{"key":"22F7","mappings":{"default":{"default":"kleines Element mit Überstrich"}},"category":"Sm"},{"category":"Sm","key":"22F8","mappings":{"default":{"default":"Element mit Unterstrich"}}},{"category":"Sm","key":"22F9","mappings":{"default":{"default":"Element mit 2 horizontalen Strichen"}}},{"category":"Sm","key":"22FA","mappings":{"default":{"default":"umgekehrtes Elementzeichen mit langem horizontalen Strich"}}},{"category":"Sm","key":"22FB","mappings":{"default":{"default":"umgekehrtes Elementzeichen mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"category":"Sm","key":"22FC","mappings":{"default":{"default":"kleines umgekehrtes Elementzeichen mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"key":"22FD","mappings":{"default":{"default":"umgekehrtes Elementzeichen mit Überstrich"}},"category":"Sm"},{"category":"Sm","key":"22FE","mappings":{"default":{"default":"kleines umgekehrtes Elementzeichen mit Überstrich"}}},{"category":"Sm","key":"22FF","mappings":{"default":{"default":"Z-Notation-Bag-Mitgliedschaft"}}},{"category":"So","key":"2300","mappings":{"default":{"default":"Durchmesser-Zeichen"}}},{"category":"So","key":"2302","mappings":{"default":{"default":"Haus"}}},{"category":"So","key":"2305","mappings":{"default":{"default":"Projektiv"}}},{"category":"So","key":"2306","mappings":{"default":{"default":"Perspektive"}}},{"category":"So","key":"2307","mappings":{"default":{"default":"Schlangenlinie"}}},{"category":"So","key":"2310","mappings":{"default":{"default":"Umgekehrtes Nichtzeichen"}}},{"category":"So","key":"2311","mappings":{"default":{"default":"Quadratische Raute"}}},{"category":"So","key":"2312","mappings":{"default":{"default":"Bogen"}}},{"category":"So","key":"2313","mappings":{"default":{"default":"Segment"}}},{"category":"So","key":"2314","mappings":{"default":{"default":"Sektor"}}},{"category":"So","key":"2795","mappings":{"default":{"default":"Schweres Pluszeichen"}}},{"category":"So","key":"2796","mappings":{"default":{"default":"Schweres Minuszeichen"}}},{"category":"So","key":"2797","mappings":{"default":{"default":"Heavy Division Sign"}}},{"category":"So","key":"27B0","mappings":{"default":{"default":"Curly Loop"}}},{"category":"So","key":"27BF","mappings":{"default":{"default":"Doppelte geschweifte Schleife"}}},{"category":"Sm","key":"27C1","mappings":{"default":{"default":"Weißes Dreieck, das kleines weißes Dreieck enthält"}}},{"category":"Sm","key":"27C2","mappings":{"default":{"default":"Aufrecht"}}},{"category":"Sm","key":"27C3","mappings":{"default":{"default":"Subset öffnen"}}},{"category":"Sm","key":"27C4","mappings":{"default":{"default":"Superset öffnen"}}},{"category":"Sm","key":"27C7","mappings":{"default":{"default":"Oder mit innerem Punkt"}}},{"category":"Sm","key":"27C8","mappings":{"default":{"default":"Umgekehrter Schrägstrich Vorhergehender Teilsatz"}}},{"category":"Sm","key":"27C9","mappings":{"default":{"default":"Superset Vorgänger Schrägstrich"}}},{"category":"Sm","key":"27CA","mappings":{"default":{"default":"Vertikaler Balken mit horizontalem Hub"}}},{"category":"Sm","key":"27CB","mappings":{"default":{"default":"Mathematische aufsteigende Diagonale"}}},{"category":"Sm","key":"27CC","mappings":{"default":{"default":"Lange Abteilung"}}},{"category":"Sm","key":"27CD","mappings":{"default":{"default":"Mathematische fallende Diagonale"}}},{"category":"Sm","key":"27CE","mappings":{"default":{"default":"quadratisches und"}}},{"category":"Sm","key":"27CF","mappings":{"default":{"default":"quadratisches oder"}}},{"category":"Sm","key":"27D0","mappings":{"default":{"default":"Weißer Diamant mit zentriertem Punkt"}}},{"category":"Sm","key":"27D1","mappings":{"default":{"default":"Und mit Dot"}}},{"category":"Sm","key":"27D2","mappings":{"default":{"default":"Element der Öffnung nach oben"}}},{"category":"Sm","key":"27D3","mappings":{"default":{"default":"Untere rechte Ecke mit Punkt"}}},{"category":"Sm","key":"27D4","mappings":{"default":{"default":"Obere linke Ecke mit Punkt"}}},{"category":"Sm","key":"27D5","mappings":{"default":{"default":"Linke äußere Verbindung"}}},{"category":"Sm","key":"27D6","mappings":{"default":{"default":"rechter äußerer Join"}}},{"category":"Sm","key":"27D7","mappings":{"default":{"default":"Volle äußere Verbindung"}}},{"category":"Sm","key":"27D8","mappings":{"default":{"default":"Große Up Tack"}}},{"category":"Sm","key":"27D9","mappings":{"default":{"default":"Großes Down Tack"}}},{"category":"Sm","key":"27DA","mappings":{"default":{"default":"Linkes und rechtes doppeltes Drehkreuz"}}},{"category":"Sm","key":"27DB","mappings":{"default":{"default":"Linker und rechter Tack"}}},{"category":"Sm","key":"27DC","mappings":{"default":{"default":"Linke Multimap"}}},{"category":"Sm","key":"27DD","mappings":{"default":{"default":"Long Right Tack"}}},{"category":"Sm","key":"27DE","mappings":{"default":{"default":"Langer linker Tack"}}},{"category":"Sm","key":"27DF","mappings":{"default":{"default":"Up Tack mit Kreis oben"}}},{"category":"Sm","key":"27E0","mappings":{"default":{"default":"Raute durch horizontale Regel geteilt"}}},{"category":"Sm","key":"27E1","mappings":{"default":{"default":"Weißer konkavseitiger Diamant"}}},{"category":"Sm","key":"27E2","mappings":{"default":{"default":"Weißer konkavseitiger Diamant mit Zecke nach links"}}},{"category":"Sm","key":"27E3","mappings":{"default":{"default":"Weißer konkavseitiger Diamant mit Zecke nach rechts"}}},{"category":"Sm","key":"27E4","mappings":{"default":{"default":"Weißes Quadrat mit Zecke nach links"}}},{"category":"Sm","key":"27E5","mappings":{"default":{"default":"Weißes Quadrat mit Tick nach rechts"}}},{"category":"Sm","key":"292B","mappings":{"default":{"default":"Steigende diagonale Kreuzung fallende Diagonale"}}},{"category":"Sm","key":"292C","mappings":{"default":{"default":"Fallende diagonale Kreuzung steigende Diagonale"}}},{"category":"Sm","key":"2980","mappings":{"default":{"default":"Dreifacher vertikaler Balkenbegrenzer"}}},{"category":"Sm","key":"2981","mappings":{"default":{"default":"Z Notationspunkt"}}},{"category":"Sm","key":"2982","mappings":{"default":{"default":"Z Notationstyp Doppelpunkt"}}},{"category":"Sm","key":"2999","mappings":{"default":{"default":"Gepunkteter Zaun"}}},{"category":"Sm","key":"299A","mappings":{"default":{"default":"Vertikale Zickzacklinie"}}},{"category":"Sm","key":"29B0","mappings":{"default":{"default":"Umgekehrter leerer Satz"}}},{"category":"Sm","key":"29B1","mappings":{"default":{"default":"Leeres Set mit Overbar"}}},{"category":"Sm","key":"29B2","mappings":{"default":{"default":"Leeres Set mit kleinem Kreis oben"}}},{"category":"Sm","key":"29B5","mappings":{"default":{"default":"Kreis mit horizontaler Leiste"}}},{"key":"29B6","mappings":{"default":{"default":"circled vertical bar"}},"category":"Sm"},{"category":"Sm","key":"29B7","mappings":{"default":{"default":"eingekreiste Parallele"}}},{"category":"Sm","key":"29B8","mappings":{"default":{"default":"eingekreister umgekehrter Schrägstrich"}}},{"category":"Sm","key":"29B9","mappings":{"default":{"default":"eingekreistes Senkrecht"}}},{"category":"Sm","key":"29BA","mappings":{"default":{"default":"Kreis geteilt durch horizontale Leiste und obere Hälfte geteilt durch vertikale Leiste"}}},{"category":"Sm","key":"29BB","mappings":{"default":{"default":"Kreis mit überlagertem X"}}},{"category":"Sm","key":"29BC","mappings":{"default":{"default":"eingekreistes, gegen den Uhrzeigersinn gedrehtes Divisionszeichen"}}},{"category":"Sm","key":"29BE","mappings":{"default":{"default":"eingekreiste weiße Kugel"}}},{"category":"Sm","key":"29BF","mappings":{"default":{"default":"eingekreiste Kugel"}}},{"category":"Sm","key":"29C0","mappings":{"default":{"default":"eingekreist weniger als"}}},{"category":"Sm","key":"29C1","mappings":{"default":{"default":"eingekreist größer als"}}},{"category":"Sm","key":"29C2","mappings":{"default":{"default":"Kreis mit kleinem Kreis nach rechts"}}},{"category":"Sm","key":"29C3","mappings":{"default":{"default":"Kreis mit zwei horizontalen Strichen nach rechts"}}},{"category":"Sm","key":"29C4","mappings":{"default":{"default":"Quadrat mit Diagonale links unten nach rechts oben"}}},{"category":"Sm","key":"29C5","mappings":{"default":{"default":"Quadrat mit Diagonale links oben nach rechts unten"}}},{"category":"Sm","key":"29C6","mappings":{"default":{"default":"Quadrat Sternchen"}}},{"category":"Sm","key":"29C7","mappings":{"default":{"default":"Quadratischer kleiner Kreis"}}},{"category":"Sm","key":"29C8","mappings":{"default":{"default":"Doppelquadrat"}}},{"category":"Sm","key":"29C9","mappings":{"default":{"default":"Zwei verbundene Quadrate"}}},{"category":"Sm","key":"29CA","mappings":{"default":{"default":"Dreieck mit Punkt oben"}}},{"category":"Sm","key":"29CB","mappings":{"default":{"default":"Dreieck mit Unterleiste"}}},{"category":"Sm","key":"29CC","mappings":{"default":{"default":"S im Dreieck"}}},{"category":"Sm","key":"29CD","mappings":{"default":{"default":"Dreieck mit Serifen unten"}}},{"category":"Sm","key":"29CE","mappings":{"default":{"default":"Rechtes Dreieck über linkem Dreieck"}}},{"category":"Sm","key":"29CF","mappings":{"default":{"default":"Linkes Dreieck neben vertikaler Leiste"}}},{"category":"Sm","key":"29D0","mappings":{"default":{"default":"Vertikaler Balken neben dem rechten Dreieck"}}},{"category":"Sm","key":"29D1","mappings":{"default":{"default":"Fliege mit linker Hälfte schwarz"}}},{"category":"Sm","key":"29D2","mappings":{"default":{"default":"Fliege mit rechter Hälfte schwarz"}}},{"category":"Sm","key":"29D3","mappings":{"default":{"default":"Schwarze Fliege"}}},{"category":"Sm","key":"29D4","mappings":{"default":{"default":"Zeiten mit linker Hälfte schwarz"}}},{"category":"Sm","key":"29D5","mappings":{"default":{"default":"Mal mit rechter Hälfte Schwarz"}}},{"category":"Sm","key":"29D6","mappings":{"default":{"default":"Weiße Sanduhr"}}},{"category":"Sm","key":"29D7","mappings":{"default":{"default":"Schwarze Sanduhr"}}},{"category":"Sm","key":"29DC","mappings":{"default":{"default":"Unvollständige Unendlichkeit"}}},{"category":"Sm","key":"29DD","mappings":{"default":{"default":"Krawatte über Unendlichkeit"}}},{"category":"Sm","key":"29DE","mappings":{"default":{"default":"Unendlichkeit mit vertikaler Leiste negiert"}}},{"category":"Sm","key":"29DF","mappings":{"default":{"default":"Doppelter Multimap"}}},{"category":"Sm","key":"29E0","mappings":{"default":{"default":"Quadrat mit konturierter Kontur"}}},{"category":"Sm","key":"29E1","mappings":{"default":{"default":"Erhöht als"}}},{"category":"Sm","key":"29E2","mappings":{"default":{"default":"Produkt mischen"}}},{"category":"Sm","key":"29E3","mappings":{"default":{"default":"Gleichheitszeichen und geneigte Parallele"}}},{"category":"Sm","key":"29E4","mappings":{"default":{"default":"Gleichheitszeichen und schräge Parallele zu Tilde oben"}}},{"category":"Sm","key":"29E5","mappings":{"default":{"default":"Identisch und schräg parallel"}}},{"category":"Sm","key":"29E6","mappings":{"default":{"default":"Gleich Stark"}}},{"category":"Sm","key":"29E7","mappings":{"default":{"default":"Thermodynamisch"}}},{"category":"Sm","key":"29E8","mappings":{"default":{"default":"Abwärtszeigendes Dreieck mit linker Hälfte schwarz"}}},{"category":"Sm","key":"29E9","mappings":{"default":{"default":"Abwärtsdreieck mit rechter Hälfte schwarz"}}},{"category":"Sm","key":"29EB","mappings":{"default":{"default":"Schwarze Raute"}}},{"category":"Sm","key":"29EE","mappings":{"default":{"default":"Fehlergesperrtes weißes Quadrat"}}},{"category":"Sm","key":"29EF","mappings":{"default":{"default":"Fehlerfreies schwarzes Quadrat"}}},{"category":"Sm","key":"29F0","mappings":{"default":{"default":"Fehlergesperrter weißer Diamant"}}},{"category":"Sm","key":"29F1","mappings":{"default":{"default":"Error-Barred Black Diamond"}}},{"category":"Sm","key":"29F2","mappings":{"default":{"default":"Fehlergesperrter weißer Kreis"}}},{"category":"Sm","key":"29F3","mappings":{"default":{"default":"Fehlergesperrter schwarzer Kreis"}}},{"key":"29F4","mappings":{"default":{"default":"rule delayed"}},"category":"Sm"},{"category":"Sm","key":"29F5","mappings":{"default":{"default":"Umgekehrter Schrägstrich Operator"}}},{"category":"Sm","key":"29F6","mappings":{"default":{"default":"Schrägstrich mit Overbar"}}},{"category":"Sm","key":"29F7","mappings":{"default":{"default":"Umgekehrter Schrägstrich mit horizontalem Hub"}}},{"category":"Sm","key":"29F8","mappings":{"default":{"default":"Großer Schrägstrich"}}},{"category":"Sm","key":"29F9","mappings":{"default":{"default":"Großer umgekehrter Schrägstrich"}}},{"category":"Sm","key":"29FA","mappings":{"default":{"default":"Doppel plus"}}},{"category":"Sm","key":"29FB","mappings":{"default":{"default":"Triple Plus"}}},{"category":"Sm","key":"29FE","mappings":{"default":{"default":"Winzig"}}},{"category":"Sm","key":"29FF","mappings":{"default":{"default":"Miny"}}},{"category":"Sm","key":"2A00","mappings":{"default":{"default":"N-Ary Circled-Punkt-Operator"}}},{"category":"Sm","key":"2A01","mappings":{"default":{"default":"N-Ary Circled Plus Operator"}}},{"category":"Sm","key":"2A02","mappings":{"default":{"default":"N-Ary Circled-Times-Operator"}}},{"category":"Sm","key":"2A03","mappings":{"default":{"default":"N-Ary Union-Operator mit Punkt"}}},{"category":"Sm","key":"2A04","mappings":{"default":{"default":"N-Ary Union-Operator mit Plus"}}},{"category":"Sm","key":"2A05","mappings":{"default":{"default":"N-Ary Square-Kreuzungsoperator"}}},{"category":"Sm","key":"2A06","mappings":{"default":{"default":"N-Ary Square Union-Betreiber"}}},{"category":"Sm","key":"2A07","mappings":{"default":{"default":"Zwei logische und Operator"}}},{"category":"Sm","key":"2A08","mappings":{"default":{"default":"Zwei logisch oder Operator"}}},{"category":"Sm","key":"2A09","mappings":{"default":{"default":"N-Ary Times-Operator"}}},{"category":"Sm","key":"2A0A","mappings":{"default":{"default":"Modulo Zwei Summe"}}},{"category":"Sm","key":"2A0B","mappings":{"default":{"default":"Summation mit Integral"}}},{"category":"Sm","key":"2A0C","mappings":{"default":{"default":"Vierfach-Integral-Operator"}}},{"category":"Sm","key":"2A0D","mappings":{"default":{"default":"Finite Part Integral"}}},{"category":"Sm","key":"2A0E","mappings":{"default":{"default":"Integral mit Doppelhub"}}},{"category":"Sm","key":"2A0F","mappings":{"default":{"default":"Integraler Durchschnitt mit Schrägstrich"}}},{"category":"Sm","key":"2A10","mappings":{"default":{"default":"Zirkulationsfunktion"}}},{"category":"Sm","key":"2A11","mappings":{"default":{"default":"Integration gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"2A12","mappings":{"default":{"default":"Linienintegration mit rechteckigem Pfad um die Pole"}}},{"category":"Sm","key":"2A13","mappings":{"default":{"default":"Linienintegration mit halbkreisförmigem Pfad um den Pol"}}},{"category":"Sm","key":"2A14","mappings":{"default":{"default":"Leitungsintegration ohne Pole"}}},{"category":"Sm","key":"2A15","mappings":{"default":{"default":"Integral um einen Punktoperator"}}},{"category":"Sm","key":"2A16","mappings":{"default":{"default":"Quaternion Integral Operator"}}},{"category":"Sm","key":"2A18","mappings":{"default":{"default":"Integriert mit Times Sign"}}},{"category":"Sm","key":"2A19","mappings":{"default":{"default":"Integral mit der Kreuzung"}}},{"category":"Sm","key":"2A1A","mappings":{"default":{"default":"Integral mit Union"}}},{"category":"Sm","key":"2A1B","mappings":{"default":{"default":"Integral mit Overbar"}}},{"category":"Sm","key":"2A1C","mappings":{"default":{"default":"Integral mit Underbar"}}},{"category":"Sm","key":"2A1D","mappings":{"default":{"default":"Beitreten"}}},{"category":"Sm","key":"2A1E","mappings":{"default":{"default":"Großes linkes Dreieckbediener"}}},{"category":"Sm","key":"2A1F","mappings":{"default":{"default":"Z-Notationsschema-Zusammensetzung"}}},{"category":"Sm","key":"2A20","mappings":{"default":{"default":"Z-Notationsschema-Piping"}}},{"category":"Sm","key":"2A21","mappings":{"default":{"default":"Z-Notationsschema-Projektion"}}},{"category":"Sm","key":"2A22","mappings":{"default":{"default":"Pluszeichen mit kleinem Kreis oben"}}},{"category":"Sm","key":"2A23","mappings":{"default":{"default":"Pluszeichen mit Zirkumflex-Akzent oben"}}},{"category":"Sm","key":"2A24","mappings":{"default":{"default":"Pluszeichen mit Tilde oben"}}},{"category":"Sm","key":"2A25","mappings":{"default":{"default":"Pluszeichen mit Punkt unten"}}},{"category":"Sm","key":"2A26","mappings":{"default":{"default":"Pluszeichen mit Tilde unter"}}},{"category":"Sm","key":"2A27","mappings":{"default":{"default":"Pluszeichen mit Index Zwei"}}},{"category":"Sm","key":"2A28","mappings":{"default":{"default":"Pluszeichen mit schwarzem Dreieck"}}},{"category":"Sm","key":"2A29","mappings":{"default":{"default":"Minuszeichen mit Komma oben"}}},{"category":"Sm","key":"2A2A","mappings":{"default":{"default":"Minuszeichen mit Punkt unten"}}},{"category":"Sm","key":"2A2B","mappings":{"default":{"default":"Minuszeichen mit fallenden Punkten"}}},{"category":"Sm","key":"2A2C","mappings":{"default":{"default":"Minuszeichen mit steigenden Punkten"}}},{"category":"Sm","key":"2A2D","mappings":{"default":{"default":"Pluszeichen Im linken Halbkreis"}}},{"category":"Sm","key":"2A2E","mappings":{"default":{"default":"Pluszeichen Im rechten Halbkreis"}}},{"category":"Sm","key":"2A2F","mappings":{"default":{"default":"Vektor- oder Kreuzprodukt"}}},{"category":"Sm","key":"2A30","mappings":{"default":{"default":"Multiplikationszeichen mit Punkt oben"}}},{"category":"Sm","key":"2A31","mappings":{"default":{"default":"Multiplikationszeichen mit Unterleiste"}}},{"category":"Sm","key":"2A32","mappings":{"default":{"default":"Semidirektprodukt mit geschlossenem Boden"}}},{"key":"2A33","mappings":{"default":{"default":"smash product"}},"category":"Sm"},{"category":"Sm","key":"2A34","mappings":{"default":{"default":"Multiplikationszeichen im linken Halbkreis"}}},{"category":"Sm","key":"2A35","mappings":{"default":{"default":"Multiplikationszeichen im rechten Halbkreis"}}},{"category":"Sm","key":"2A36","mappings":{"default":{"default":"eingekreistes Multiplikationszeichen mit Circumflex-Akzent"}}},{"category":"Sm","key":"2A37","mappings":{"default":{"default":"Multiplikationszeichen im doppelten Kreis"}}},{"key":"2A38","mappings":{"default":{"default":"circled division sign"}},"category":"Sm"},{"category":"Sm","key":"2A39","mappings":{"default":{"default":"Pluszeichen im Dreieck"}}},{"category":"Sm","key":"2A3A","mappings":{"default":{"default":"Minuszeichen im Dreieck"}}},{"category":"Sm","key":"2A3B","mappings":{"default":{"default":"Multiplikationszeichen im Dreieck"}}},{"category":"Sm","key":"2A3C","mappings":{"default":{"default":"Innenprodukt"}}},{"category":"Sm","key":"2A3D","mappings":{"default":{"default":"Produkt für den rechten Innenraum"}}},{"category":"Sm","key":"2A3E","mappings":{"default":{"default":"Z-Notation relationaler Aufbau"}}},{"category":"Sm","key":"2A3F","mappings":{"default":{"default":"Verschmelzung oder Koprodukt"}}},{"category":"Sm","key":"2A40","mappings":{"default":{"default":"Schnittpunkt mit Punkt"}}},{"category":"Sm","key":"2A41","mappings":{"default":{"default":"Union mit Minuszeichen"}}},{"category":"Sm","key":"2A42","mappings":{"default":{"default":"Union mit Overbar"}}},{"category":"Sm","key":"2A43","mappings":{"default":{"default":"Kreuzung mit Overbar"}}},{"category":"Sm","key":"2A44","mappings":{"default":{"default":"Überschneidung mit logischem und"}}},{"category":"Sm","key":"2A45","mappings":{"default":{"default":"Vereinigung mit logischem Or"}}},{"category":"Sm","key":"2A46","mappings":{"default":{"default":"Vereinigung über dem Schnittpunkt"}}},{"category":"Sm","key":"2A47","mappings":{"default":{"default":"Schnittpunkt über Union"}}},{"category":"Sm","key":"2A48","mappings":{"default":{"default":"Vereinigung über Stab über Kreuzung"}}},{"category":"Sm","key":"2A49","mappings":{"default":{"default":"Schnittpunkt oberhalb der Stange oberhalb der Union"}}},{"category":"Sm","key":"2A4A","mappings":{"default":{"default":"Union daneben und mit Union verbunden"}}},{"category":"Sm","key":"2A4B","mappings":{"default":{"default":"Kreuzung neben und mit Kreuzung verbunden"}}},{"category":"Sm","key":"2A4C","mappings":{"default":{"default":"Geschlossene Vereinigung mit Serifen"}}},{"category":"Sm","key":"2A4D","mappings":{"default":{"default":"Geschlossener Schnittpunkt mit Serifen"}}},{"category":"Sm","key":"2A4E","mappings":{"default":{"default":"Doppelter Quadratschnitt"}}},{"category":"Sm","key":"2A4F","mappings":{"default":{"default":"Double Square Union"}}},{"category":"Sm","key":"2A50","mappings":{"default":{"default":"Closed Union mit Serifen und Smash-Produkten"}}},{"category":"Sm","key":"2A51","mappings":{"default":{"default":"Logisch und mit Punkt oben"}}},{"category":"Sm","key":"2A52","mappings":{"default":{"default":"Logisch oder mit Punkt oben"}}},{"key":"2A53","mappings":{"default":{"default":"double logical and"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"double logical or"}},"category":"Sm"},{"category":"Sm","key":"2A55","mappings":{"default":{"default":"Zwei durchschneiden logisch und"}}},{"category":"Sm","key":"2A56","mappings":{"default":{"default":"Zwei sich überschneidende logische Oder"}}},{"category":"Sm","key":"2A57","mappings":{"default":{"default":"Abfallend groß oder"}}},{"category":"Sm","key":"2A58","mappings":{"default":{"default":"Abfallend groß und"}}},{"category":"Sm","key":"2A59","mappings":{"default":{"default":"Logisch oder Überlappend Logisch Und"}}},{"category":"Sm","key":"2A5A","mappings":{"default":{"default":"Logisch und mit Middle Stem"}}},{"category":"Sm","key":"2A5B","mappings":{"default":{"default":"Logisch oder mit Middle Stem"}}},{"category":"Sm","key":"2A5C","mappings":{"default":{"default":"Logisch und mit Horizontalstrich"}}},{"category":"Sm","key":"2A5D","mappings":{"default":{"default":"Logisch oder mit Horizontalstrich"}}},{"category":"Sm","key":"2A5E","mappings":{"default":{"default":"Logisch und mit Double Overbar"}}},{"category":"Sm","key":"2A5F","mappings":{"default":{"default":"Logisch und mit Underbar"}}},{"category":"Sm","key":"2A60","mappings":{"default":{"default":"Logisch und mit Double Underbar"}}},{"category":"Sm","key":"2A61","mappings":{"default":{"default":"kleines Vee mit Underbar"}}},{"category":"Sm","key":"2A62","mappings":{"default":{"default":"Logisch oder mit Double Overbar"}}},{"category":"Sm","key":"2A63","mappings":{"default":{"default":"Logisch oder mit doppelter Unterleiste"}}},{"category":"Sm","key":"2A64","mappings":{"default":{"default":"Z-Notation Domain Antirestriction"}}},{"category":"Sm","key":"2A65","mappings":{"default":{"default":"Z Notationsbereich Antirestriction"}}},{"category":"Sm","key":"2A66","mappings":{"default":{"default":"Gleichheitszeichen mit Punkt unten"}}},{"category":"Sm","key":"2A67","mappings":{"default":{"default":"Identisch mit dem obigen Punkt"}}},{"category":"Sm","key":"2A68","mappings":{"default":{"default":"Dreifacher Horizontalbalken mit doppeltem vertikalem Hub"}}},{"category":"Sm","key":"2A69","mappings":{"default":{"default":"Dreifacher Horizontalbalken mit dreifachem vertikalem Hub"}}},{"category":"Sm","key":"2A6A","mappings":{"default":{"default":"Tilde-Operator mit Punkt oben"}}},{"category":"Sm","key":"2A6B","mappings":{"default":{"default":"Tilde-Operator mit steigenden Punkten"}}},{"category":"Sm","key":"2A6C","mappings":{"default":{"default":"Ähnlich Minus Ähnlich"}}},{"category":"Sm","key":"2A6D","mappings":{"default":{"default":"Kongruent mit Punkt oben"}}},{"category":"Sm","key":"2A6E","mappings":{"default":{"default":"Entspricht Asterisk"}}},{"category":"Sm","key":"2A6F","mappings":{"default":{"default":"Fast gleichwertig mit dem Circumflex Accent"}}},{"category":"Sm","key":"2A70","mappings":{"default":{"default":"Ungefähr gleich oder gleich zu"}}},{"category":"Sm","key":"2A71","mappings":{"default":{"default":"Gleichheitszeichen über Pluszeichen"}}},{"category":"Sm","key":"2A72","mappings":{"default":{"default":"Pluszeichen über Gleichheitszeichen"}}},{"category":"Sm","key":"2A73","mappings":{"default":{"default":"Gleichheitszeichen über Tilde-Operator"}}},{"category":"Sm","key":"2A74","mappings":{"default":{"default":"Doppelpunkt gleich"}}},{"key":"2A75","mappings":{"default":{"default":"double equal"}},"category":"Sm"},{"category":"Sm","key":"2A76","mappings":{"default":{"default":"Drei aufeinander folgende Gleichheitszeichen"}}},{"category":"Sm","key":"2A77","mappings":{"default":{"default":"Gleichheitszeichen mit zwei Punkten oben und zwei Punkten unten"}}},{"category":"Sm","key":"2A78","mappings":{"default":{"default":"Gleichwertig mit vier Punkten oben"}}},{"category":"Sm","key":"2A79","mappings":{"default":{"default":"Weniger als mit Circle Inside"}}},{"category":"Sm","key":"2A7A","mappings":{"default":{"default":"Größer als mit Kreis nach innen"}}},{"category":"Sm","key":"2A7B","mappings":{"default":{"default":"Weniger als mit Fragezeichen oben"}}},{"category":"Sm","key":"2A7C","mappings":{"default":{"default":"Größer als mit Fragezeichen oben"}}},{"category":"Sm","key":"2A7D","mappings":{"default":{"default":"Weniger als oder schräg gleich"}}},{"category":"Sm","key":"2A7E","mappings":{"default":{"default":"Größer als oder schräg gleich"}}},{"category":"Sm","key":"2A7F","mappings":{"default":{"default":"Weniger als oder schräg gleich mit Punkt nach innen"}}},{"category":"Sm","key":"2A80","mappings":{"default":{"default":"Größer als oder schräg gleich mit Punkt nach innen"}}},{"category":"Sm","key":"2A81","mappings":{"default":{"default":"Weniger als oder schräg gleich mit Punkt oben"}}},{"category":"Sm","key":"2A82","mappings":{"default":{"default":"Größer als oder schräg gleich mit Punkt oben"}}},{"category":"Sm","key":"2A83","mappings":{"default":{"default":"Weniger als oder schräg gleich mit Punkt oben rechts"}}},{"category":"Sm","key":"2A84","mappings":{"default":{"default":"Größer als oder schräg gleich mit Punkt oben links"}}},{"category":"Sm","key":"2A85","mappings":{"default":{"default":"Weniger als oder ungefähr"}}},{"category":"Sm","key":"2A86","mappings":{"default":{"default":"Größer als oder ungefähr"}}},{"category":"Sm","key":"2A87","mappings":{"default":{"default":"Kleiner als aber nicht gleich"}}},{"category":"Sm","key":"2A88","mappings":{"default":{"default":"Größer als aber nicht gleich"}}},{"key":"2A89","mappings":{"default":{"default":"Kleiner als aber nicht ungefähr gleich"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"Größer als aber nicht ungefähr gleich"}},"category":"Sm"},{"category":"Sm","key":"2A8B","mappings":{"default":{"default":"Weniger als aber größer als oben"}}},{"category":"Sm","key":"2A8C","mappings":{"default":{"default":"Größer als aber weniger als unten und größer als oben"}}},{"category":"Sm","key":"2A8D","mappings":{"default":{"default":"Weniger als oben ähnlich oder gleich"}}},{"category":"Sm","key":"2A8E","mappings":{"default":{"default":"Größer als oben ähnlich oder gleich"}}},{"category":"Sm","key":"2A8F","mappings":{"default":{"default":"Weniger als oben ähnlich oben größer als"}}},{"category":"Sm","key":"2A90","mappings":{"default":{"default":"Größer als oben Ähnlich oben"}}},{"key":"2A91","mappings":{"default":{"default":"less than greater than or equal to"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"greater than less than or equal to"}},"category":"Sm"},{"category":"Sm","key":"2A93","mappings":{"default":{"default":"Weniger als oben schräg gleich oben Größer als oben schräg gleich"}}},{"category":"Sm","key":"2A94","mappings":{"default":{"default":"Größer als oben schräg gleich oben kleiner als oben schräg gleich groß"}}},{"category":"Sm","key":"2A95","mappings":{"default":{"default":"Schräg gleich oder kleiner als"}}},{"category":"Sm","key":"2A96","mappings":{"default":{"default":"Schräg gleich oder größer als"}}},{"category":"Sm","key":"2A97","mappings":{"default":{"default":"Schräg gleich oder kleiner als mit innenliegendem Punkt"}}},{"category":"Sm","key":"2A98","mappings":{"default":{"default":"Schräg gleich oder größer als mit Punkt nach innen"}}},{"key":"2A99","mappings":{"default":{"default":"Gleich oder kleiner als"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"Gleich oder größer als"}},"category":"Sm"},{"category":"Sm","key":"2A9B","mappings":{"default":{"default":"Doppelte Linie schräg gleich oder kleiner als"}}},{"category":"Sm","key":"2A9C","mappings":{"default":{"default":"Doppelte Linie schräg gleich oder größer als"}}},{"key":"2A9D","mappings":{"default":{"default":"Äquivalent oder kleiner als"}},"category":"Sm"},{"category":"Sm","key":"2A9E","mappings":{"default":{"default":"Ähnlich oder größer als"}}},{"category":"Sm","key":"2A9F","mappings":{"default":{"default":"Ähnlich oben Weniger als Gleiches Gleichheitszeichen"}}},{"category":"Sm","key":"2AA0","mappings":{"default":{"default":"Ähnlich oben größer als oben Gleichheitszeichen"}}},{"key":"2AA1","mappings":{"default":{"default":"Verschachteltes kleiner als"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"Verschachteltes größer als"}},"category":"Sm"},{"category":"Sm","key":"2AA3","mappings":{"default":{"default":"Doppelt verschachtelt, weniger als mit Unterleiste"}}},{"key":"2AA4","mappings":{"default":{"default":"less than greater than overlay"}},"category":"Sm"},{"category":"Sm","key":"2AA5","mappings":{"default":{"default":"Größer als weniger als"}}},{"category":"Sm","key":"2AA6","mappings":{"default":{"default":"Weniger als durch Kurve geschlossen"}}},{"category":"Sm","key":"2AA7","mappings":{"default":{"default":"Größer als durch Kurve geschlossen"}}},{"category":"Sm","key":"2AA8","mappings":{"default":{"default":"Weniger als dann geschlossen durch Kurve oberhalb der gleichen Neigung"}}},{"category":"Sm","key":"2AA9","mappings":{"default":{"default":"Größer als geschlossen durch Kurve oberhalb der gleichen Neigung"}}},{"category":"Sm","key":"2AAA","mappings":{"default":{"default":"kleiner als"}}},{"category":"Sm","key":"2AAB","mappings":{"default":{"default":"Größer als"}}},{"category":"Sm","key":"2AAC","mappings":{"default":{"default":"kleiner als oder gleich"}}},{"category":"Sm","key":"2AAD","mappings":{"default":{"default":"Größer als oder gleich"}}},{"key":"2AAE","mappings":{"default":{"default":"difference between (variant"}},"category":"Sm"},{"category":"Sm","key":"2AAF","mappings":{"default":{"default":"Stellt über dem einzeiligen Gleichheitszeichen ein"}}},{"category":"Sm","key":"2AB0","mappings":{"default":{"default":"Erfolg über dem einzeiligen Gleichheitszeichen"}}},{"category":"Sm","key":"2AB1","mappings":{"default":{"default":"Vorangehende Single-Line ist nicht gleich"}}},{"category":"Sm","key":"2AB2","mappings":{"default":{"default":"Erfolg über Single-Line nicht gleich"}}},{"category":"Sm","key":"2AB3","mappings":{"default":{"default":"Vorangegangenes Gleichheitszeichen"}}},{"category":"Sm","key":"2AB4","mappings":{"default":{"default":"Erfolgreich über Gleichheitszeichen"}}},{"key":"2AB5","mappings":{"default":{"default":"precedes but not equal to"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"succeeds but not equal to"}},"category":"Sm"},{"category":"Sm","key":"2AB7","mappings":{"default":{"default":"Vorangegangenes fast gleich zu"}}},{"category":"Sm","key":"2AB8","mappings":{"default":{"default":"Erreicht über fast gleich viel"}}},{"category":"Sm","key":"2AB9","mappings":{"default":{"default":"Vorangegangene nicht annähernd gleich"}}},{"category":"Sm","key":"2ABA","mappings":{"default":{"default":"Erreicht oben nicht annähernd gleich"}}},{"category":"Sm","key":"2ABB","mappings":{"default":{"default":"Doppelter Vorgänger"}}},{"category":"Sm","key":"2ABC","mappings":{"default":{"default":"Doppelter Erfolg"}}},{"category":"Sm","key":"2ABD","mappings":{"default":{"default":"Teilmenge mit Punkt"}}},{"category":"Sm","key":"2ABE","mappings":{"default":{"default":"Superset mit Punkt"}}},{"category":"Sm","key":"2ABF","mappings":{"default":{"default":"Teilmenge mit Pluszeichen unten"}}},{"category":"Sm","key":"2AC0","mappings":{"default":{"default":"Superset mit Pluszeichen unten"}}},{"category":"Sm","key":"2AC1","mappings":{"default":{"default":"Teilmenge mit Multiplikationszeichen unten"}}},{"category":"Sm","key":"2AC2","mappings":{"default":{"default":"Superset mit Multiplikationszeichen unten"}}},{"category":"Sm","key":"2AC3","mappings":{"default":{"default":"Teilmenge oder gleich mit dem obigen Punkt"}}},{"category":"Sm","key":"2AC4","mappings":{"default":{"default":"Superset von oder gleich mit Punkt oben"}}},{"category":"Sm","key":"2AC5","mappings":{"default":{"default":"Teilmenge des obigen Gleichheitszeichens"}}},{"category":"Sm","key":"2AC6","mappings":{"default":{"default":"Superset des obigen Gleichheitszeichens"}}},{"key":"2AC7","mappings":{"default":{"default":"approximate subset of"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"approximate superset of"}},"category":"Sm"},{"category":"Sm","key":"2AC9","mappings":{"default":{"default":"Teilmenge von oben fast gleich"}}},{"category":"Sm","key":"2ACA","mappings":{"default":{"default":"Superset von oben fast gleichwertig"}}},{"category":"Sm","key":"2ACB","mappings":{"default":{"default":"Teilmenge von oben nicht gleich"}}},{"category":"Sm","key":"2ACC","mappings":{"default":{"default":"Superset von oben nicht gleich"}}},{"category":"Sm","key":"2ACD","mappings":{"default":{"default":"Platz links Feldbetreiber geöffnet"}}},{"category":"Sm","key":"2ACE","mappings":{"default":{"default":"Rechteckige Box mit offener Box"}}},{"category":"Sm","key":"2ACF","mappings":{"default":{"default":"Geschlossener Teilsatz"}}},{"category":"Sm","key":"2AD0","mappings":{"default":{"default":"Superset geschlossen"}}},{"category":"Sm","key":"2AD1","mappings":{"default":{"default":"Geschlossene Untermenge oder gleich"}}},{"category":"Sm","key":"2AD2","mappings":{"default":{"default":"Superset geschlossen oder gleich"}}},{"key":"2AD3","mappings":{"default":{"default":"subset over superset"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"superset over subset"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"subset over subset"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"superset over superset"}},"category":"Sm"},{"category":"Sm","key":"2AD7","mappings":{"default":{"default":"Superset neben dem Subset"}}},{"category":"Sm","key":"2AD8","mappings":{"default":{"default":"Superset Neben und Joined von Dash mit Subset"}}},{"category":"Sm","key":"2AD9","mappings":{"default":{"default":"Element der Öffnung nach unten"}}},{"category":"Sm","key":"2ADA","mappings":{"default":{"default":"Heugabel mit T-Stück"}}},{"category":"Sm","key":"2ADB","mappings":{"default":{"default":"Transversalschnitt"}}},{"category":"Sm","key":"2ADC","mappings":{"default":{"default":"Gabelung"}}},{"category":"Sm","key":"2ADD","mappings":{"default":{"default":"Nicht Gabeln"}}},{"category":"Sm","key":"2ADE","mappings":{"default":{"default":"Kurzer Linker Tack"}}},{"category":"Sm","key":"2ADF","mappings":{"default":{"default":"Kurzer Down Tack"}}},{"category":"Sm","key":"2AE0","mappings":{"default":{"default":"Short Up Tack"}}},{"category":"Sm","key":"2AE1","mappings":{"default":{"default":"Rechtwinklig zu S"}}},{"category":"Sm","key":"2AE2","mappings":{"default":{"default":"Vertikales Dreifach-Drehkreuz"}}},{"category":"Sm","key":"2AE3","mappings":{"default":{"default":"Doppelter vertikaler Balken linkes Drehkreuz"}}},{"key":"2AE4","mappings":{"default":{"default":"double left turnstile vertical bar"}},"category":"Sm"},{"category":"Sm","key":"2AE5","mappings":{"default":{"default":"Doppelter vertikaler Balken Doppelter linker Drehkreuz"}}},{"category":"Sm","key":"2AE6","mappings":{"default":{"default":"Long Dash von Left Member von Double Vertical"}}},{"category":"Sm","key":"2AE7","mappings":{"default":{"default":"Short Down Tack mit Overbar"}}},{"key":"2AE8","mappings":{"default":{"default":"perpendicular over bar"}},"category":"Sm"},{"category":"Sm","key":"2AE9","mappings":{"default":{"default":"Short Up Tack Über Short Down Tack"}}},{"category":"Sm","key":"2AEA","mappings":{"default":{"default":"Double Down Tack"}}},{"category":"Sm","key":"2AEB","mappings":{"default":{"default":"Verdoppeln Sie Tack"}}},{"category":"Sm","key":"2AEC","mappings":{"default":{"default":"Doppelstrich nicht unterschreiben"}}},{"category":"Sm","key":"2AED","mappings":{"default":{"default":"Umgekehrter Doppelstrich nicht unterschrieben"}}},{"category":"Sm","key":"2AEE","mappings":{"default":{"default":"Teilt sich nicht mit umgekehrten Negationsschrägstrich"}}},{"category":"Sm","key":"2AEF","mappings":{"default":{"default":"Vertikale Linie mit Kreis oben"}}},{"category":"Sm","key":"2AF0","mappings":{"default":{"default":"Vertikale Linie mit Kreis unten"}}},{"category":"Sm","key":"2AF1","mappings":{"default":{"default":"Down Tack mit Kreis unten"}}},{"category":"Sm","key":"2AF2","mappings":{"default":{"default":"Parallel zum horizontalen Anschlag"}}},{"category":"Sm","key":"2AF3","mappings":{"default":{"default":"Parallel zu Tilde Operator"}}},{"category":"Sm","key":"2AF4","mappings":{"default":{"default":"Dreifache vertikale Balken-Binärbeziehung"}}},{"category":"Sm","key":"2AF5","mappings":{"default":{"default":"Dreifacher vertikaler Strich mit horizontalem Hub"}}},{"category":"Sm","key":"2AF6","mappings":{"default":{"default":"Triple Colon Operator"}}},{"category":"Sm","key":"2AF7","mappings":{"default":{"default":"Dreifach verschachtelt weniger als"}}},{"category":"Sm","key":"2AF8","mappings":{"default":{"default":"Dreifach verschachteltes Größeres als"}}},{"category":"Sm","key":"2AF9","mappings":{"default":{"default":"Doppellinie schräg, weniger als oder gleich"}}},{"category":"Sm","key":"2AFA","mappings":{"default":{"default":"Doppelte Linie schräg größer als oder gleich"}}},{"category":"Sm","key":"2AFB","mappings":{"default":{"default":"Dreifache Schrägstrich-Binärbeziehung"}}},{"category":"Sm","key":"2AFC","mappings":{"default":{"default":"Großer dreifacher vertikaler Barbediener"}}},{"category":"Sm","key":"2AFD","mappings":{"default":{"default":"Doppelter Schrägstrich-Operator"}}},{"category":"Sm","key":"2AFE","mappings":{"default":{"default":"Weiße vertikale Leiste"}}},{"category":"Sm","key":"2AFF","mappings":{"default":{"default":"N-Ary White Vertical Bar"}}},{"category":"Pd","key":"301C","mappings":{"default":{"default":"Wave Dash"}}},{"category":"Po","key":"FE10","mappings":{"default":{"default":"Präsentationsformular für vertikales Komma"}}},{"category":"Po","key":"FE13","mappings":{"default":{"default":"Präsentationsformular für vertikalen Doppelpunkt"}}},{"category":"Po","key":"FE14","mappings":{"default":{"default":"Präsentationsformular für vertikales Semikolon"}}},{"category":"Po","key":"FE15","mappings":{"default":{"default":"Präsentationsformular für vertikales Ausrufezeichen"}}},{"category":"Po","key":"FE16","mappings":{"default":{"default":"Präsentationsformular für vertikales Fragezeichen"}}},{"category":"Po","key":"FE19","mappings":{"default":{"default":"Präsentationsformular für vertikale horizontale Ellipsen"}}},{"category":"Po","key":"FE30","mappings":{"default":{"default":"Präsentationsformular für vertikalen Zwei-Punkt-Leader"}}},{"category":"Pd","key":"FE31","mappings":{"default":{"default":"Präsentationsformular für Vertical Em Dash"}}},{"category":"Pd","key":"FE32","mappings":{"default":{"default":"Präsentationsformular für Vertical En Dash"}}},{"category":"Pc","key":"FE33","mappings":{"default":{"default":"Präsentationsformular für Vertical Low Line"}}},{"category":"Pc","key":"FE34","mappings":{"default":{"default":"Präsentationsformular für Vertical Wavy Low Line"}}},{"category":"Po","key":"FE45","mappings":{"default":{"default":"Sesampunkt"}}},{"category":"Po","key":"FE46","mappings":{"default":{"default":"Weißer Sesam Punkt"}}},{"category":"Po","key":"FE49","mappings":{"default":{"default":"Gestrichelte Überlänge"}}},{"category":"Po","key":"FE4A","mappings":{"default":{"default":"Centreline Overline"}}},{"category":"Po","key":"FE4B","mappings":{"default":{"default":"Wellenförmige Überlänge"}}},{"category":"Po","key":"FE4C","mappings":{"default":{"default":"Doppelte Wellenlinie"}}},{"category":"Pc","key":"FE4D","mappings":{"default":{"default":"Gestrichelte Low Line"}}},{"category":"Pc","key":"FE4E","mappings":{"default":{"default":"Mittellinie Low Line"}}},{"category":"Pc","key":"FE4F","mappings":{"default":{"default":"Wellenförmige Low Line"}}},{"category":"Po","key":"FE50","mappings":{"default":{"default":"kleines Komma"}}},{"category":"Po","key":"FE52","mappings":{"default":{"default":"kleiner Punkt"}}},{"category":"Po","key":"FE54","mappings":{"default":{"default":"kleines Semikolon"}}},{"category":"Po","key":"FE55","mappings":{"default":{"default":"kleiner Doppelpunkt"}}},{"category":"Po","key":"FE56","mappings":{"default":{"default":"kleines Fragezeichen"}}},{"category":"Po","key":"FE57","mappings":{"default":{"default":"kleines Ausrufezeichen"}}},{"category":"Pd","key":"FE58","mappings":{"default":{"default":"kleiner Em Dash"}}},{"category":"Po","key":"FE5F","mappings":{"default":{"default":"kleines Nummernzeichen"}}},{"category":"Po","key":"FE60","mappings":{"default":{"default":"kleines kaufmännisches"}}},{"category":"Po","key":"FE61","mappings":{"default":{"default":"kleines Sternchen"}}},{"category":"Sm","key":"FE62","mappings":{"default":{"default":"kleines Pluszeichen"}}},{"category":"Pd","key":"FE63","mappings":{"default":{"default":"kleiner Bindestrich-Minus"}}},{"category":"Sm","key":"FE64","mappings":{"default":{"default":"kleines weniger als Zeichen"}}},{"category":"Sm","key":"FE65","mappings":{"default":{"default":"kleines Größeres als Zeichen"}}},{"category":"Sm","key":"FE66","mappings":{"default":{"default":"kleines Gleichheitszeichen"}}},{"category":"Po","key":"FE68","mappings":{"default":{"default":"kleiner umgekehrter Schrägstrich"}}},{"category":"Sc","key":"FE69","mappings":{"default":{"default":"kleines Dollarzeichen"}}},{"category":"Po","key":"FE6A","mappings":{"default":{"default":"kleines Prozentzeichen"}}},{"category":"Po","key":"FE6B","mappings":{"default":{"default":"kleine kommerzielle bei"}}},{"category":"Po","key":"FF01","mappings":{"default":{"default":"vollbreites Ausrufezeichen"}}},{"category":"Po","key":"FF02","mappings":{"default":{"default":"vollbreites Anführungszeichen"}}},{"category":"Po","key":"FF03","mappings":{"default":{"default":"vollbreites Nummernzeichen"}}},{"category":"Sc","key":"FF04","mappings":{"default":{"default":"vollbreites Dollarzeichen"}}},{"category":"Po","key":"FF05","mappings":{"default":{"default":"vollbreites Prozentzeichen"}}},{"category":"Po","key":"FF06","mappings":{"default":{"default":"vollbreites kaufmännisches und"}}},{"category":"Po","key":"FF07","mappings":{"default":{"default":"vollbreites Apostroph"}}},{"category":"Po","key":"FF0A","mappings":{"default":{"default":"vollbreiter Stern"}}},{"category":"Sm","key":"FF0B","mappings":{"default":{"default":"vollbreites Plus"}}},{"category":"Po","key":"FF0C","mappings":{"default":{"default":"vollbreites Komma"}}},{"category":"Pd","key":"FF0D","mappings":{"default":{"default":"vollbreites Minus"}}},{"category":"Po","key":"FF0E","mappings":{"default":{"default":"vollbreiter Punkt"}}},{"category":"Po","key":"FF0F","mappings":{"default":{"default":"Schrägstrich mit voller Breite"}}},{"category":"Po","key":"FF1A","mappings":{"default":{"default":"vollbreiter Doppelpunkt"}}},{"category":"Po","key":"FF1B","mappings":{"default":{"default":"vollbreites Semikolon"}}},{"category":"Sm","key":"FF1C","mappings":{"default":{"default":"Weniger als das gesamte Zeichen"}}},{"category":"Sm","key":"FF1D","mappings":{"default":{"default":"vollbreites Gleichspannungszeichen"}}},{"category":"Sm","key":"FF1E","mappings":{"default":{"default":"Fullwidth Mehr als Zeichen"}}},{"category":"Po","key":"FF1F","mappings":{"default":{"default":"vollbreites Fragezeichen"}}},{"category":"Po","key":"FF20","mappings":{"default":{"default":"Fullwidth Commercial at"}}},{"category":"Po","key":"FF3C","mappings":{"default":{"default":"Umgekehrter Schrägstrich mit voller Breite"}}},{"category":"Sk","key":"FF3E","mappings":{"default":{"default":"Circumflex-Akzent mit voller Breite"}}},{"category":"Pc","key":"FF3F","mappings":{"default":{"default":"vollbreites Low Line"}}},{"category":"Sk","key":"FF40","mappings":{"default":{"default":"vollbreiter Gravis Akzent"}}},{"category":"Sm","key":"FF5C","mappings":{"default":{"default":"vollbreites Vertikale Linie"}}},{"category":"Sm","key":"FF5E","mappings":{"default":{"default":"vollbreite Tilde"}}},{"category":"Sc","key":"FFE0","mappings":{"default":{"default":"vollbreites Cent-Zeichen"}}},{"category":"Sc","key":"FFE1","mappings":{"default":{"default":"vollbreites Pfundzeichen"}}},{"category":"Sm","key":"FFE2","mappings":{"default":{"default":"vollbreite nicht Symbol"}}},{"category":"Sk","key":"FFE3","mappings":{"default":{"default":"vollbreiter Überstrich","alternative":"vollbreites Makron"}}},{"category":"So","key":"FFE4","mappings":{"default":{"default":"vollbreite gestrichelte Linie"}}},{"category":"Sc","key":"FFE5","mappings":{"default":{"default":"vollbreites Yen-Zeichen"}}},{"category":"Sc","key":"FFE6","mappings":{"default":{"default":"vollbreites Won-Zeichen"}}},{"category":"So","key":"FFE8","mappings":{"default":{"default":"Halbbreite bildet leicht vertikal"}}},{"category":"So","key":"FFED","mappings":{"default":{"default":"Schwarzes Quadrat mit halber Breite"}}},{"category":"So","key":"FFEE","mappings":{"default":{"default":"Weißer Kreis mit halber Breite"}}}]
 ,
-"en/latin-mathfonts-sans-serif-bold.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital a","short":"sans serif bold cap a"},"mathspeak":{"default":"sans serif bold upper A"}},"key":"1D5D4"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital b","short":"sans serif bold cap b"},"mathspeak":{"default":"sans serif bold upper B"}},"key":"1D5D5"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital c","short":"sans serif bold cap c"},"mathspeak":{"default":"sans serif bold upper C"}},"key":"1D5D6"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital d","short":"sans serif bold cap d"},"mathspeak":{"default":"sans serif bold upper D"}},"key":"1D5D7"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital e","short":"sans serif bold cap e"},"mathspeak":{"default":"sans serif bold upper E"}},"key":"1D5D8"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital f","short":"sans serif bold cap f"},"mathspeak":{"default":"sans serif bold upper F"}},"key":"1D5D9"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital g","short":"sans serif bold cap g"},"mathspeak":{"default":"sans serif bold upper G"}},"key":"1D5DA"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital h","short":"sans serif bold cap h"},"mathspeak":{"default":"sans serif bold upper H"}},"key":"1D5DB"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital i","short":"sans serif bold cap i"},"mathspeak":{"default":"sans serif bold upper I"}},"key":"1D5DC"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital j","short":"sans serif bold cap j"},"mathspeak":{"default":"sans serif bold upper J"}},"key":"1D5DD"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital k","short":"sans serif bold cap k"},"mathspeak":{"default":"sans serif bold upper K"}},"key":"1D5DE"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital l","short":"sans serif bold cap l"},"mathspeak":{"default":"sans serif bold upper L"}},"key":"1D5DF"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital m","short":"sans serif bold cap m"},"mathspeak":{"default":"sans serif bold upper M"}},"key":"1D5E0"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital n","short":"sans serif bold cap n"},"mathspeak":{"default":"sans serif bold upper N"}},"key":"1D5E1"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital o","short":"sans serif bold cap o"},"mathspeak":{"default":"sans serif bold upper O"}},"key":"1D5E2"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital p","short":"sans serif bold cap p"},"mathspeak":{"default":"sans serif bold upper P"}},"key":"1D5E3"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital q","short":"sans serif bold cap q"},"mathspeak":{"default":"sans serif bold upper Q"}},"key":"1D5E4"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital r","short":"sans serif bold cap r"},"mathspeak":{"default":"sans serif bold upper R"}},"key":"1D5E5"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital s","short":"sans serif bold cap s"},"mathspeak":{"default":"sans serif bold upper S"}},"key":"1D5E6"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital t","short":"sans serif bold cap t"},"mathspeak":{"default":"sans serif bold upper T"}},"key":"1D5E7"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital u","short":"sans serif bold cap u"},"mathspeak":{"default":"sans serif bold upper U"}},"key":"1D5E8"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital v","short":"sans serif bold cap v"},"mathspeak":{"default":"sans serif bold upper V"}},"key":"1D5E9"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital w","short":"sans serif bold cap w"},"mathspeak":{"default":"sans serif bold upper W"}},"key":"1D5EA"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital x","short":"sans serif bold cap x"},"mathspeak":{"default":"sans serif bold upper X"}},"key":"1D5EB"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital y","short":"sans serif bold cap y"},"mathspeak":{"default":"sans serif bold upper Y"}},"key":"1D5EC"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital z","short":"sans serif bold cap z"},"mathspeak":{"default":"sans serif bold upper Z"}},"key":"1D5ED"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small a","short":"sans serif bold a"}},"key":"1D5EE"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small b","short":"sans serif bold b"}},"key":"1D5EF"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small c","short":"sans serif bold c"}},"key":"1D5F0"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small d","short":"sans serif bold d"}},"key":"1D5F1"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small e","short":"sans serif bold e"}},"key":"1D5F2"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small f","short":"sans serif bold f"}},"key":"1D5F3"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small g","short":"sans serif bold g"}},"key":"1D5F4"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small h","short":"sans serif bold h"}},"key":"1D5F5"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small i","short":"sans serif bold i"}},"key":"1D5F6"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small j","short":"sans serif bold j"}},"key":"1D5F7"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small k","short":"sans serif bold k"}},"key":"1D5F8"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small l","short":"sans serif bold l"}},"key":"1D5F9"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small m","short":"sans serif bold m"}},"key":"1D5FA"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small n","short":"sans serif bold n"}},"key":"1D5FB"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small o","short":"sans serif bold o"}},"key":"1D5FC"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small p","short":"sans serif bold p"}},"key":"1D5FD"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small q","short":"sans serif bold q"}},"key":"1D5FE"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small r","short":"sans serif bold r"}},"key":"1D5FF"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small s","short":"sans serif bold s"}},"key":"1D600"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small t","short":"sans serif bold t"}},"key":"1D601"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small u","short":"sans serif bold u"}},"key":"1D602"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small v","short":"sans serif bold v"}},"key":"1D603"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small w","short":"sans serif bold w"}},"key":"1D604"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small x","short":"sans serif bold x"}},"key":"1D605"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small y","short":"sans serif bold y"}},"key":"1D606"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small z","short":"sans serif bold z"}},"key":"1D607"}]
+"de/symbols/math_whitespace.js": 
+[{"locale":"de"},{"category":"Zs","key":"0020","mappings":{"default":{"default":"Leerzeichen"}}},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"weicher Trennstrich"}},"category":"Cf"},{"category":"Zs","key":"2000","mappings":{"default":{"default":"En Quad"}}},{"category":"Zs","key":"2001","mappings":{"default":{"default":"Em Quad"}}},{"category":"Zs","key":"2002","mappings":{"default":{"default":"En Space"}}},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Zs","key":"2004","mappings":{"default":{"default":"Raum für drei Per-Em"}}},{"category":"Zs","key":"2005","mappings":{"default":{"default":"Raum für vier pro Em"}}},{"category":"Zs","key":"2006","mappings":{"default":{"default":"Six-Per-Em Space"}}},{"category":"Zs","key":"2007","mappings":{"default":{"default":"Raum darstellen"}}},{"category":"Zs","key":"2008","mappings":{"default":{"default":"Interpunktionsraum"}}},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"200C","mappings":{"default":{"default":"Nullbreite ohne Joiner"}}},{"category":"Cf","key":"200D","mappings":{"default":{"default":"Zero Width Joiner"}}},{"category":"Cf","key":"200E","mappings":{"default":{"default":"Markierung von links nach rechts"}}},{"category":"Cf","key":"200F","mappings":{"default":{"default":"Markierung von rechts nach links"}}},{"category":"Zl","key":"2028","mappings":{"default":{"default":"Trennzeichen"}}},{"category":"Zp","key":"2029","mappings":{"default":{"default":"Absatztrennzeichen"}}},{"category":"Cf","key":"202A","mappings":{"default":{"default":"Einbetten von links nach rechts"}}},{"category":"Cf","key":"202B","mappings":{"default":{"default":"Einbetten von rechts nach links"}}},{"category":"Cf","key":"202C","mappings":{"default":{"default":"Pop Richtungsformatierung"}}},{"category":"Cf","key":"202D","mappings":{"default":{"default":"Von links nach rechts überschreiben"}}},{"category":"Cf","key":"202E","mappings":{"default":{"default":"Von rechts nach links überschreiben"}}},{"category":"Zs","key":"202F","mappings":{"default":{"default":"Schmaler No-Break-Bereich"}}},{"key":"205F","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Cf","key":"2060","mappings":{"default":{"default":"Word Joiner"}}},{"key":"2061","mappings":{"default":{"default":"von"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":" "}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"2064","mappings":{"default":{"default":"Unsichtbares Plus"}}},{"category":"Cf","key":"206A","mappings":{"default":{"default":"Symmetrisches Austauschen verhindern"}}},{"category":"Cf","key":"206B","mappings":{"default":{"default":"Aktivieren Sie das symmetrische Austauschen"}}},{"category":"Cf","key":"206E","mappings":{"default":{"default":"Nationale Ziffernformen"}}},{"category":"Cf","key":"206F","mappings":{"default":{"default":"Nominale Ziffernformen"}}},{"category":"Cf","key":"FEFF","mappings":{"default":{"default":"Nullbreite Leerzeichen"}}},{"category":"Cf","key":"FFF9","mappings":{"default":{"default":"Interlinearer Anmerkungsanker"}}},{"category":"Cf","key":"FFFA","mappings":{"default":{"default":"Separator für interlineare Anmerkungen"}}},{"category":"Cf","key":"FFFB","mappings":{"default":{"default":"Interlinear Annotation Terminator"}}}]
 ,
-"en/latin-mathfonts-sans-serif-italic.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital a","short":"sans serif italic cap a"},"mathspeak":{"default":"sans serif italic upper A"}},"key":"1D608"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital b","short":"sans serif italic cap b"},"mathspeak":{"default":"sans serif italic upper B"}},"key":"1D609"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital c","short":"sans serif italic cap c"},"mathspeak":{"default":"sans serif italic upper C"}},"key":"1D60A"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital d","short":"sans serif italic cap d"},"mathspeak":{"default":"sans serif italic upper D"}},"key":"1D60B"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital e","short":"sans serif italic cap e"},"mathspeak":{"default":"sans serif italic upper E"}},"key":"1D60C"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital f","short":"sans serif italic cap f"},"mathspeak":{"default":"sans serif italic upper F"}},"key":"1D60D"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital g","short":"sans serif italic cap g"},"mathspeak":{"default":"sans serif italic upper G"}},"key":"1D60E"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital h","short":"sans serif italic cap h"},"mathspeak":{"default":"sans serif italic upper H"}},"key":"1D60F"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital i","short":"sans serif italic cap i"},"mathspeak":{"default":"sans serif italic upper I"}},"key":"1D610"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital j","short":"sans serif italic cap j"},"mathspeak":{"default":"sans serif italic upper J"}},"key":"1D611"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital k","short":"sans serif italic cap k"},"mathspeak":{"default":"sans serif italic upper K"}},"key":"1D612"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital l","short":"sans serif italic cap l"},"mathspeak":{"default":"sans serif italic upper L"}},"key":"1D613"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital m","short":"sans serif italic cap m"},"mathspeak":{"default":"sans serif italic upper M"}},"key":"1D614"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital n","short":"sans serif italic cap n"},"mathspeak":{"default":"sans serif italic upper N"}},"key":"1D615"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital o","short":"sans serif italic cap o"},"mathspeak":{"default":"sans serif italic upper O"}},"key":"1D616"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital p","short":"sans serif italic cap p"},"mathspeak":{"default":"sans serif italic upper P"}},"key":"1D617"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital q","short":"sans serif italic cap q"},"mathspeak":{"default":"sans serif italic upper Q"}},"key":"1D618"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital r","short":"sans serif italic cap r"},"mathspeak":{"default":"sans serif italic upper R"}},"key":"1D619"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital s","short":"sans serif italic cap s"},"mathspeak":{"default":"sans serif italic upper S"}},"key":"1D61A"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital t","short":"sans serif italic cap t"},"mathspeak":{"default":"sans serif italic upper T"}},"key":"1D61B"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital u","short":"sans serif italic cap u"},"mathspeak":{"default":"sans serif italic upper U"}},"key":"1D61C"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital v","short":"sans serif italic cap v"},"mathspeak":{"default":"sans serif italic upper V"}},"key":"1D61D"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital w","short":"sans serif italic cap w"},"mathspeak":{"default":"sans serif italic upper W"}},"key":"1D61E"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital x","short":"sans serif italic cap x"},"mathspeak":{"default":"sans serif italic upper X"}},"key":"1D61F"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital y","short":"sans serif italic cap y"},"mathspeak":{"default":"sans serif italic upper Y"}},"key":"1D620"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital z","short":"sans serif italic cap z"},"mathspeak":{"default":"sans serif italic upper Z"}},"key":"1D621"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small a","short":"sans serif italic a"}},"key":"1D622"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small b","short":"sans serif italic b"}},"key":"1D623"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small c","short":"sans serif italic c"}},"key":"1D624"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small d","short":"sans serif italic d"}},"key":"1D625"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small e","short":"sans serif italic e"}},"key":"1D626"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small f","short":"sans serif italic f"}},"key":"1D627"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small g","short":"sans serif italic g"}},"key":"1D628"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small h","short":"sans serif italic h"}},"key":"1D629"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small i","short":"sans serif italic i"}},"key":"1D62A"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small j","short":"sans serif italic j"}},"key":"1D62B"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small k","short":"sans serif italic k"}},"key":"1D62C"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small l","short":"sans serif italic l"}},"key":"1D62D"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small m","short":"sans serif italic m"}},"key":"1D62E"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small n","short":"sans serif italic n"}},"key":"1D62F"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small o","short":"sans serif italic o"}},"key":"1D630"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small p","short":"sans serif italic p"}},"key":"1D631"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small q","short":"sans serif italic q"}},"key":"1D632"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small r","short":"sans serif italic r"}},"key":"1D633"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small s","short":"sans serif italic s"}},"key":"1D634"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small t","short":"sans serif italic t"}},"key":"1D635"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small u","short":"sans serif italic u"}},"key":"1D636"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small v","short":"sans serif italic v"}},"key":"1D637"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small w","short":"sans serif italic w"}},"key":"1D638"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small x","short":"sans serif italic x"}},"key":"1D639"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small y","short":"sans serif italic y"}},"key":"1D63A"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small z","short":"sans serif italic z"}},"key":"1D63B"}]
+"de/symbols/other_stars.js": 
+[{"locale":"de"},{"category":"So","key":"23E8","mappings":{"default":{"default":"Dezimalexponentensymbol"}}},{"category":"So","key":"2605","mappings":{"default":{"default":"Schwarzer Stern"}}},{"category":"So","key":"2606","mappings":{"default":{"default":"weißer Stern"}}},{"category":"So","key":"26AA","mappings":{"default":{"default":"Mittlerer weißer Kreis"}}},{"category":"So","key":"26AB","mappings":{"default":{"default":"Mittlerer schwarzer Kreis"}}},{"category":"So","key":"2705","mappings":{"default":{"default":"Weißes schweres Häkchen"}}},{"category":"So","key":"2713","mappings":{"default":{"default":"Häkchen"}}},{"category":"So","key":"2714","mappings":{"default":{"default":"Schweres Häkchen"}}},{"category":"So","key":"2715","mappings":{"default":{"default":"Multiplikation X"}}},{"category":"So","key":"2716","mappings":{"default":{"default":"Schwere Multiplikation X"}}},{"category":"So","key":"2717","mappings":{"default":{"default":"Stimmzettel X"}}},{"category":"So","key":"2718","mappings":{"default":{"default":"Schwerer Stimmzettel X"}}},{"category":"So","key":"271B","mappings":{"default":{"default":"Center Cross öffnen"}}},{"category":"So","key":"271C","mappings":{"default":{"default":"Schweres offenes Mittelkreuz"}}},{"category":"So","key":"2720","mappings":{"default":{"default":"Malteserkreuz"}}},{"category":"So","key":"2721","mappings":{"default":{"default":"Davidstern"}}},{"category":"So","key":"2722","mappings":{"default":{"default":"Vier Teardrop-Spoked Asterisk"}}},{"category":"So","key":"2723","mappings":{"default":{"default":"Vier Ballon-Speichen-Sternchen"}}},{"category":"So","key":"2724","mappings":{"default":{"default":"Schwere Vier-Ballon-Speichen-Sternchen"}}},{"category":"So","key":"2725","mappings":{"default":{"default":"Vier Club-Spoked Asterisk"}}},{"category":"So","key":"2726","mappings":{"default":{"default":"Schwarzer vierzackiger Stern"}}},{"category":"So","key":"2727","mappings":{"default":{"default":"Weißer vierzackiger Stern"}}},{"category":"So","key":"2728","mappings":{"default":{"default":"Funkelt"}}},{"category":"So","key":"2729","mappings":{"default":{"default":"Stress umrissener weißer Stern"}}},{"category":"So","key":"272A","mappings":{"default":{"default":"Eingekreister weißer Stern"}}},{"category":"So","key":"272B","mappings":{"default":{"default":"Open Center Black Star"}}},{"category":"So","key":"272C","mappings":{"default":{"default":"Schwarzer Center White Star"}}},{"category":"So","key":"272D","mappings":{"default":{"default":"Schwarzer Stern umrissen"}}},{"category":"So","key":"272E","mappings":{"default":{"default":"Schwerer umrissener schwarzer Stern"}}},{"category":"So","key":"272F","mappings":{"default":{"default":"Sternrad Stern"}}},{"category":"So","key":"2730","mappings":{"default":{"default":"Beschatteter weißer Stern"}}},{"category":"So","key":"2731","mappings":{"default":{"default":"Schwerer Stern"}}},{"category":"So","key":"2732","mappings":{"default":{"default":"Öffnen Sie Center Asterisk"}}},{"category":"So","key":"2733","mappings":{"default":{"default":"Acht Speichen-Sternchen"}}},{"category":"So","key":"2734","mappings":{"default":{"default":"Achtzackiger schwarzer Stern"}}},{"category":"So","key":"2735","mappings":{"default":{"default":"Achtzackiger Sternradstern"}}},{"category":"So","key":"2736","mappings":{"default":{"default":"Sechszackiger schwarzer Stern"}}},{"category":"So","key":"2739","mappings":{"default":{"default":"Zwölf schwarzer Stern"}}},{"category":"So","key":"273A","mappings":{"default":{"default":"Sechzehn Spitzen Sternchen"}}},{"category":"So","key":"273B","mappings":{"default":{"default":"Teardrop-Spoked Sternchen"}}},{"category":"So","key":"273C","mappings":{"default":{"default":"Open Center Teardrop-Spoked Sternchen"}}},{"category":"So","key":"273D","mappings":{"default":{"default":"Schwerer Tropfen-Speichen-Sternchen"}}},{"category":"So","key":"273E","mappings":{"default":{"default":"Sechs Petalled Schwarzweiss-Florette"}}},{"category":"So","key":"273F","mappings":{"default":{"default":"Schwarze Florette"}}},{"category":"So","key":"2740","mappings":{"default":{"default":"Weiße Florette"}}},{"category":"So","key":"2741","mappings":{"default":{"default":"Acht Petalled umrissene schwarze Florette"}}},{"category":"So","key":"2742","mappings":{"default":{"default":"Eingekreistes offenes Zentrum Achtstern"}}},{"category":"So","key":"2743","mappings":{"default":{"default":"Schweres, tropfenbesetztes Nadelrad-Sternchen"}}},{"category":"So","key":"2744","mappings":{"default":{"default":"Schneeflocke"}}},{"category":"So","key":"2745","mappings":{"default":{"default":"Feste Trifoliate-Schneeflocke"}}},{"category":"So","key":"2746","mappings":{"default":{"default":"Schwere Chevron-Schneeflocke"}}},{"category":"So","key":"2747","mappings":{"default":{"default":"Funkeln"}}},{"category":"So","key":"2748","mappings":{"default":{"default":"Schweres Funkeln"}}},{"category":"So","key":"2749","mappings":{"default":{"default":"Ballon-Speichen-Sternchen"}}},{"category":"So","key":"274A","mappings":{"default":{"default":"Acht Teardrop-Spoked Propeller Sternchen"}}},{"category":"So","key":"274B","mappings":{"default":{"default":"Schwere Acht Teardrop-Spoked Propeller Sternchen"}}},{"category":"So","key":"274C","mappings":{"default":{"default":"Cross Mark"}}},{"category":"So","key":"274D","mappings":{"default":{"default":"Beschatteter weißer Kreis"}}}]
 ,
-"en/latin-mathfonts-sans-serif.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital a","short":"sans serif cap a"},"mathspeak":{"default":"sans serif upper A"}},"key":"1D5A0"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital b","short":"sans serif cap b"},"mathspeak":{"default":"sans serif upper B"}},"key":"1D5A1"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital c","short":"sans serif cap c"},"mathspeak":{"default":"sans serif upper C"}},"key":"1D5A2"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital d","short":"sans serif cap d"},"mathspeak":{"default":"sans serif upper D"}},"key":"1D5A3"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital e","short":"sans serif cap e"},"mathspeak":{"default":"sans serif upper E"}},"key":"1D5A4"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital f","short":"sans serif cap f"},"mathspeak":{"default":"sans serif upper F"}},"key":"1D5A5"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital g","short":"sans serif cap g"},"mathspeak":{"default":"sans serif upper G"}},"key":"1D5A6"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital h","short":"sans serif cap h"},"mathspeak":{"default":"sans serif upper H"}},"key":"1D5A7"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital i","short":"sans serif cap i"},"mathspeak":{"default":"sans serif upper I"}},"key":"1D5A8"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital j","short":"sans serif cap j"},"mathspeak":{"default":"sans serif upper J"}},"key":"1D5A9"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital k","short":"sans serif cap k"},"mathspeak":{"default":"sans serif upper K"}},"key":"1D5AA"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital l","short":"sans serif cap l"},"mathspeak":{"default":"sans serif upper L"}},"key":"1D5AB"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital m","short":"sans serif cap m"},"mathspeak":{"default":"sans serif upper M"}},"key":"1D5AC"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital n","short":"sans serif cap n"},"mathspeak":{"default":"sans serif upper N"}},"key":"1D5AD"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital o","short":"sans serif cap o"},"mathspeak":{"default":"sans serif upper O"}},"key":"1D5AE"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital p","short":"sans serif cap p"},"mathspeak":{"default":"sans serif upper P"}},"key":"1D5AF"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital q","short":"sans serif cap q"},"mathspeak":{"default":"sans serif upper Q"}},"key":"1D5B0"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital r","short":"sans serif cap r"},"mathspeak":{"default":"sans serif upper R"}},"key":"1D5B1"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital s","short":"sans serif cap s"},"mathspeak":{"default":"sans serif upper S"}},"key":"1D5B2"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital t","short":"sans serif cap t"},"mathspeak":{"default":"sans serif upper T"}},"key":"1D5B3"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital u","short":"sans serif cap u"},"mathspeak":{"default":"sans serif upper U"}},"key":"1D5B4"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital v","short":"sans serif cap v"},"mathspeak":{"default":"sans serif upper V"}},"key":"1D5B5"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital w","short":"sans serif cap w"},"mathspeak":{"default":"sans serif upper W"}},"key":"1D5B6"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital x","short":"sans serif cap x"},"mathspeak":{"default":"sans serif upper X"}},"key":"1D5B7"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital y","short":"sans serif cap y"},"mathspeak":{"default":"sans serif upper Y"}},"key":"1D5B8"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital z","short":"sans serif cap z"},"mathspeak":{"default":"sans serif upper Z"}},"key":"1D5B9"},{"category":"Ll","mappings":{"default":{"default":"sans serif small a","short":"sans serif a"}},"key":"1D5BA"},{"category":"Ll","mappings":{"default":{"default":"sans serif small b","short":"sans serif b"}},"key":"1D5BB"},{"category":"Ll","mappings":{"default":{"default":"sans serif small c","short":"sans serif c"}},"key":"1D5BC"},{"category":"Ll","mappings":{"default":{"default":"sans serif small d","short":"sans serif d"}},"key":"1D5BD"},{"category":"Ll","mappings":{"default":{"default":"sans serif small e","short":"sans serif e"}},"key":"1D5BE"},{"category":"Ll","mappings":{"default":{"default":"sans serif small f","short":"sans serif f"}},"key":"1D5BF"},{"category":"Ll","mappings":{"default":{"default":"sans serif small g","short":"sans serif g"}},"key":"1D5C0"},{"category":"Ll","mappings":{"default":{"default":"sans serif small h","short":"sans serif h"}},"key":"1D5C1"},{"category":"Ll","mappings":{"default":{"default":"sans serif small i","short":"sans serif i"}},"key":"1D5C2"},{"category":"Ll","mappings":{"default":{"default":"sans serif small j","short":"sans serif j"}},"key":"1D5C3"},{"category":"Ll","mappings":{"default":{"default":"sans serif small k","short":"sans serif k"}},"key":"1D5C4"},{"category":"Ll","mappings":{"default":{"default":"sans serif small l","short":"sans serif l"}},"key":"1D5C5"},{"category":"Ll","mappings":{"default":{"default":"sans serif small m","short":"sans serif m"}},"key":"1D5C6"},{"category":"Ll","mappings":{"default":{"default":"sans serif small n","short":"sans serif n"}},"key":"1D5C7"},{"category":"Ll","mappings":{"default":{"default":"sans serif small o","short":"sans serif o"}},"key":"1D5C8"},{"category":"Ll","mappings":{"default":{"default":"sans serif small p","short":"sans serif p"}},"key":"1D5C9"},{"category":"Ll","mappings":{"default":{"default":"sans serif small q","short":"sans serif q"}},"key":"1D5CA"},{"category":"Ll","mappings":{"default":{"default":"sans serif small r","short":"sans serif r"}},"key":"1D5CB"},{"category":"Ll","mappings":{"default":{"default":"sans serif small s","short":"sans serif s"}},"key":"1D5CC"},{"category":"Ll","mappings":{"default":{"default":"sans serif small t","short":"sans serif t"}},"key":"1D5CD"},{"category":"Ll","mappings":{"default":{"default":"sans serif small u","short":"sans serif u"}},"key":"1D5CE"},{"category":"Ll","mappings":{"default":{"default":"sans serif small v","short":"sans serif v"}},"key":"1D5CF"},{"category":"Ll","mappings":{"default":{"default":"sans serif small w","short":"sans serif w"}},"key":"1D5D0"},{"category":"Ll","mappings":{"default":{"default":"sans serif small x","short":"sans serif x"}},"key":"1D5D1"},{"category":"Ll","mappings":{"default":{"default":"sans serif small y","short":"sans serif y"}},"key":"1D5D2"},{"category":"Ll","mappings":{"default":{"default":"sans serif small z","short":"sans serif z"}},"key":"1D5D3"}]
+"de/units/energy.js": 
+[{"locale":"de"},{"key":"W","mappings":{"default":{"default":"Watt"}},"category":"energy","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"Kilowatt"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"Milliwatt"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"Kilowattstunde"}},"key":"kwh","names":["kwh","kWh"]},{"key":"J","mappings":{"default":{"default":"Joule","plural":"Joules"}},"category":"energy","names":["J"]},{"key":"N","mappings":{"default":{"default":"Newton"}},"category":"energy","names":["N"]},{"key":"A","mappings":{"default":{"default":"Ampere"}},"category":"energy","names":["A"]},{"key":"V","mappings":{"default":{"default":"Volt"}},"category":"energy","names":["V"]},{"category":"energy","mappings":{"default":{"default":"Mikroohm"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"Milliohm"}},"key":"mΩ","names":["mΩ"]},{"key":"Ω","mappings":{"default":{"default":"Ohm"}},"category":"energy","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"Kiloohm"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"Megaohm"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"Gigaohm"}},"key":"GΩ","names":["GΩ"]}]
 ,
-"en/latin-mathfonts-script.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"script capital a","short":"script cap a"},"mathspeak":{"default":"script upper A"}},"key":"1D49C"},{"category":"Lu","mappings":{"default":{"default":"script capital b","short":"script cap b"},"mathspeak":{"default":"script upper B"}},"key":"212C"},{"category":"Lu","mappings":{"default":{"default":"script capital c","short":"script cap c"},"mathspeak":{"default":"script upper C"}},"key":"1D49E"},{"category":"Lu","mappings":{"default":{"default":"script capital d","short":"script cap d"},"mathspeak":{"default":"script upper D"}},"key":"1D49F"},{"category":"Lu","mappings":{"default":{"default":"script capital e","short":"script cap e"},"mathspeak":{"default":"script upper E"}},"key":"2130"},{"category":"Lu","mappings":{"default":{"default":"script capital f","short":"script cap f"},"mathspeak":{"default":"script upper F"}},"key":"2131"},{"category":"Lu","mappings":{"default":{"default":"script capital g","short":"script cap g"},"mathspeak":{"default":"script upper G"}},"key":"1D4A2"},{"category":"Lu","mappings":{"default":{"default":"script capital h","short":"script cap h"},"mathspeak":{"default":"script upper H"}},"key":"210B"},{"category":"Lu","mappings":{"default":{"default":"script capital i","short":"script cap i"},"mathspeak":{"default":"script upper I"}},"key":"2110"},{"category":"Lu","mappings":{"default":{"default":"script capital j","short":"script cap j"},"mathspeak":{"default":"script upper J"}},"key":"1D4A5"},{"category":"Lu","mappings":{"default":{"default":"script capital k","short":"script cap k"},"mathspeak":{"default":"script upper K"}},"key":"1D4A6"},{"category":"Lu","mappings":{"default":{"default":"script capital l","short":"script cap l"},"mathspeak":{"default":"script upper L"}},"key":"2112"},{"category":"Lu","mappings":{"default":{"default":"script capital m","short":"script cap m"},"mathspeak":{"default":"script upper M"}},"key":"2133"},{"category":"Lu","mappings":{"default":{"default":"script capital n","short":"script cap n"},"mathspeak":{"default":"script upper N"}},"key":"1D4A9"},{"category":"Lu","mappings":{"default":{"default":"script capital o","short":"script cap o"},"mathspeak":{"default":"script upper O"}},"key":"1D4AA"},{"category":"Lu","mappings":{"default":{"default":"script capital p","short":"script cap p"},"mathspeak":{"default":"script upper P"}},"key":"1D4AB"},{"category":"Lu","mappings":{"default":{"default":"script capital q","short":"script cap q"},"mathspeak":{"default":"script upper Q"}},"key":"1D4AC"},{"category":"Lu","mappings":{"default":{"default":"script capital r","short":"script cap r"},"mathspeak":{"default":"script upper R"}},"key":"211B"},{"category":"Lu","mappings":{"default":{"default":"script capital s","short":"script cap s"},"mathspeak":{"default":"script upper S"}},"key":"1D4AE"},{"category":"Lu","mappings":{"default":{"default":"script capital t","short":"script cap t"},"mathspeak":{"default":"script upper T"}},"key":"1D4AF"},{"category":"Lu","mappings":{"default":{"default":"script capital u","short":"script cap u"},"mathspeak":{"default":"script upper U"}},"key":"1D4B0"},{"category":"Lu","mappings":{"default":{"default":"script capital v","short":"script cap v"},"mathspeak":{"default":"script upper V"}},"key":"1D4B1"},{"category":"Lu","mappings":{"default":{"default":"script capital w","short":"script cap w"},"mathspeak":{"default":"script upper W"}},"key":"1D4B2"},{"category":"Lu","mappings":{"default":{"default":"script capital x","short":"script cap x"},"mathspeak":{"default":"script upper X"}},"key":"1D4B3"},{"category":"Lu","mappings":{"default":{"default":"script capital y","short":"script cap y"},"mathspeak":{"default":"script upper Y"}},"key":"1D4B4"},{"category":"Lu","mappings":{"default":{"default":"script capital z","short":"script cap z"},"mathspeak":{"default":"script upper Z"}},"key":"1D4B5"},{"category":"Ll","mappings":{"default":{"default":"script small a","short":"script a"}},"key":"1D4B6"},{"category":"Ll","mappings":{"default":{"default":"script small b","short":"script b"}},"key":"1D4B7"},{"category":"Ll","mappings":{"default":{"default":"script small c","short":"script c"}},"key":"1D4B8"},{"category":"Ll","mappings":{"default":{"default":"script small d","short":"script d"}},"key":"1D4B9"},{"category":"Ll","mappings":{"default":{"default":"script small e","short":"script e"}},"key":"212F"},{"category":"Ll","mappings":{"default":{"default":"script small f","short":"script f"}},"key":"1D4BB"},{"category":"Ll","mappings":{"default":{"default":"script small g","short":"script g"}},"key":"210A"},{"category":"Ll","mappings":{"default":{"default":"script small h","short":"script h"}},"key":"1D4BD"},{"category":"Ll","mappings":{"default":{"default":"script small i","short":"script i"}},"key":"1D4BE"},{"category":"Ll","mappings":{"default":{"default":"script small j","short":"script j"}},"key":"1D4BF"},{"category":"Ll","mappings":{"default":{"default":"script small k","short":"script k"}},"key":"1D4C0"},{"category":"Ll","mappings":{"default":{"default":"script small l","short":"script l"}},"key":"1D4C1"},{"category":"Ll","mappings":{"default":{"default":"script small m","short":"script m"}},"key":"1D4C2"},{"category":"Ll","mappings":{"default":{"default":"script small n","short":"script n"}},"key":"1D4C3"},{"category":"Ll","mappings":{"default":{"default":"script small o","short":"script o"}},"key":"2134"},{"category":"Ll","mappings":{"default":{"default":"script small p","short":"script p"}},"key":"1D4C5"},{"category":"Ll","mappings":{"default":{"default":"script small q","short":"script q"}},"key":"1D4C6"},{"category":"Ll","mappings":{"default":{"default":"script small r","short":"script r"}},"key":"1D4C7"},{"category":"Ll","mappings":{"default":{"default":"script small s","short":"script s"}},"key":"1D4C8"},{"category":"Ll","mappings":{"default":{"default":"script small t","short":"script t"}},"key":"1D4C9"},{"category":"Ll","mappings":{"default":{"default":"script small u","short":"script u"}},"key":"1D4CA"},{"category":"Ll","mappings":{"default":{"default":"script small v","short":"script v"}},"key":"1D4CB"},{"category":"Ll","mappings":{"default":{"default":"script small w","short":"script w"}},"key":"1D4CC"},{"category":"Ll","mappings":{"default":{"default":"script small x","short":"script x"}},"key":"1D4CD"},{"category":"Ll","mappings":{"default":{"default":"script small y","short":"script y"}},"key":"1D4CE"},{"category":"Ll","mappings":{"default":{"default":"script small z","short":"script z"}},"key":"1D4CF"}]
+"de/units/length.js": 
+[{"locale":"de"},{"key":"mm","names":["mm"],"mappings":{"default":{"default":"Millimeter"}},"category":"length"},{"key":"cm","names":["cm"],"mappings":{"default":{"default":"Zentimeter"}},"category":"length"},{"key":"m","mappings":{"default":{"default":"Meter"}},"category":"length","names":["m"]},{"category":"length","mappings":{"default":{"default":"Kilometer"}},"key":"km","names":["km"]},{"key":"ft","mappings":{"default":{"default":"Fuß"}},"category":"length","names":["ft","ft."]},{"key":"in","mappings":{"default":{"default":"Zoll"}},"category":"length","names":["in","in."]},{"key":"mi","mappings":{"default":{"plural":"Meilen","default":"Meile"}},"category":"length","names":["mi","mi."]},{"key":"yd","mappings":{"default":{"plural":"Yards","default":"Yard"}},"category":"length","names":["yd","yd."]},{"key":"n.m.","names":["n.m."],"mappings":{"default":{"default":"nautische Meile"}},"category":"length"}]
 ,
-"en/latin-rest.js": 
-[{"locale":"en"},{"category":"Mn","key":"0363","mappings":{"default":{"default":"combining latin small letter a","short":"combining a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"combining latin small letter e","short":"combining e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"combining latin small letter i","short":"combining i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"combining latin small letter o","short":"combining o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"combining latin small letter u","short":"combining u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"combining latin small letter c","short":"combining c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"combining latin small letter d","short":"combining d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"combining latin small letter h","short":"combining h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"combining latin small letter m","short":"combining m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"combining latin small letter r","short":"combining r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"combining latin small letter t","short":"combining t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"combining latin small letter v","short":"combining v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"combining latin small letter x","short":"combining x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"latin subscript small letter i","short":"subscript i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"latin subscript small letter r","short":"subscript r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"latin subscript small letter u","short":"subscript u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"latin subscript small letter v","short":"subscript v"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"combining latin small letter r below","short":"combining r below"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"combining latin small letter flattened open a above","short":"combining flattened open a above"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"combining latin small letter ae","short":"combining ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"combining latin small letter ao","short":"combining ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"combining latin small letter av","short":"combining av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"combining latin small letter c cedilla","short":"combining c cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"combining latin small letter insular d","short":"combining insular d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"combining latin small letter eth","short":"combining eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"combining latin small letter g","short":"combining g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"combining latin letter small capital g","short":"combining small cap g"},"mathspeak":{"default":"combining small upper G"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"combining latin small letter k","short":"combining k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"combining latin small letter l","short":"combining l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"combining latin letter small capital l","short":"combining small cap l"},"mathspeak":{"default":"combining small upper L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"combining latin letter small capital m","short":"combining small cap m"},"mathspeak":{"default":"combining small upper M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"combining latin small letter n","short":"combining n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"combining latin letter small capital n","short":"combining small cap n"},"mathspeak":{"default":"combining small upper N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"combining latin letter small capital r","short":"combining small cap r"},"mathspeak":{"default":"combining small upper R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"combining latin small letter r rotunda","short":"combining r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"combining latin small letter s","short":"combining s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"combining latin small letter long s","short":"combining long s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"combining latin small letter z","short":"combining z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"superscript latin small letter i","short":"superscript i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"superscript latin small letter n","short":"superscript n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"latin subscript small letter a","short":"subscript a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"latin subscript small letter e","short":"subscript e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"latin subscript small letter o","short":"subscript o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"latin subscript small letter x","short":"subscript x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"latin subscript small letter schwa","short":"subscript schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"latin subscript small letter h","short":"subscript h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"latin subscript small letter k","short":"subscript k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"latin subscript small letter l","short":"subscript l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"latin subscript small letter m","short":"subscript m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"latin subscript small letter n","short":"subscript n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"latin subscript small letter p","short":"subscript p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"latin subscript small letter s","short":"subscript s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"latin subscript small letter t","short":"subscript t"}}},{"category":"So","key":"249C","mappings":{"default":{"default":"parenthesized latin small letter a","short":"parenthesized a"}}},{"category":"So","key":"249D","mappings":{"default":{"default":"parenthesized latin small letter b","short":"parenthesized b"}}},{"category":"So","key":"249E","mappings":{"default":{"default":"parenthesized latin small letter c","short":"parenthesized c"}}},{"category":"So","key":"249F","mappings":{"default":{"default":"parenthesized latin small letter d","short":"parenthesized d"}}},{"category":"So","key":"24A0","mappings":{"default":{"default":"parenthesized latin small letter e","short":"parenthesized e"}}},{"category":"So","key":"24A1","mappings":{"default":{"default":"parenthesized latin small letter f","short":"parenthesized f"}}},{"category":"So","key":"24A2","mappings":{"default":{"default":"parenthesized latin small letter g","short":"parenthesized g"}}},{"category":"So","key":"24A3","mappings":{"default":{"default":"parenthesized latin small letter h","short":"parenthesized h"}}},{"category":"So","key":"24A4","mappings":{"default":{"default":"parenthesized latin small letter i","short":"parenthesized i"}}},{"category":"So","key":"24A5","mappings":{"default":{"default":"parenthesized latin small letter j","short":"parenthesized j"}}},{"category":"So","key":"24A6","mappings":{"default":{"default":"parenthesized latin small letter k","short":"parenthesized k"}}},{"category":"So","key":"24A7","mappings":{"default":{"default":"parenthesized latin small letter l","short":"parenthesized l"}}},{"category":"So","key":"24A8","mappings":{"default":{"default":"parenthesized latin small letter m","short":"parenthesized m"}}},{"category":"So","key":"24A9","mappings":{"default":{"default":"parenthesized latin small letter n","short":"parenthesized n"}}},{"category":"So","key":"24AA","mappings":{"default":{"default":"parenthesized latin small letter o","short":"parenthesized o"}}},{"category":"So","key":"24AB","mappings":{"default":{"default":"parenthesized latin small letter p","short":"parenthesized p"}}},{"category":"So","key":"24AC","mappings":{"default":{"default":"parenthesized latin small letter q","short":"parenthesized q"}}},{"category":"So","key":"24AD","mappings":{"default":{"default":"parenthesized latin small letter r","short":"parenthesized r"}}},{"category":"So","key":"24AE","mappings":{"default":{"default":"parenthesized latin small letter s","short":"parenthesized s"}}},{"category":"So","key":"24AF","mappings":{"default":{"default":"parenthesized latin small letter t","short":"parenthesized t"}}},{"category":"So","key":"24B0","mappings":{"default":{"default":"parenthesized latin small letter u","short":"parenthesized u"}}},{"category":"So","key":"24B1","mappings":{"default":{"default":"parenthesized latin small letter v","short":"parenthesized v"}}},{"category":"So","key":"24B2","mappings":{"default":{"default":"parenthesized latin small letter w","short":"parenthesized w"}}},{"category":"So","key":"24B3","mappings":{"default":{"default":"parenthesized latin small letter x","short":"parenthesized x"}}},{"category":"So","key":"24B4","mappings":{"default":{"default":"parenthesized latin small letter y","short":"parenthesized y"}}},{"category":"So","key":"24B5","mappings":{"default":{"default":"parenthesized latin small letter z","short":"parenthesized z"}}},{"category":"So","key":"24B6","mappings":{"default":{"default":"circled latin capital letter a","short":"circled cap a"},"mathspeak":{"default":"circled upper A"}}},{"category":"So","key":"24B7","mappings":{"default":{"default":"circled latin capital letter b","short":"circled cap b"},"mathspeak":{"default":"circled upper B"}}},{"category":"So","key":"24B8","mappings":{"default":{"default":"circled latin capital letter c","short":"circled cap c"},"mathspeak":{"default":"circled upper C"}}},{"category":"So","key":"24B9","mappings":{"default":{"default":"circled latin capital letter d","short":"circled cap d"},"mathspeak":{"default":"circled upper D"}}},{"category":"So","key":"24BA","mappings":{"default":{"default":"circled latin capital letter e","short":"circled cap e"},"mathspeak":{"default":"circled upper E"}}},{"category":"So","key":"24BB","mappings":{"default":{"default":"circled latin capital letter f","short":"circled cap f"},"mathspeak":{"default":"circled upper F"}}},{"category":"So","key":"24BC","mappings":{"default":{"default":"circled latin capital letter g","short":"circled cap g"},"mathspeak":{"default":"circled upper G"}}},{"category":"So","key":"24BD","mappings":{"default":{"default":"circled latin capital letter h","short":"circled cap h"},"mathspeak":{"default":"circled upper H"}}},{"category":"So","key":"24BE","mappings":{"default":{"default":"circled latin capital letter i","short":"circled cap i"},"mathspeak":{"default":"circled upper I"}}},{"category":"So","key":"24BF","mappings":{"default":{"default":"circled latin capital letter j","short":"circled cap j"},"mathspeak":{"default":"circled upper J"}}},{"category":"So","key":"24C0","mappings":{"default":{"default":"circled latin capital letter k","short":"circled cap k"},"mathspeak":{"default":"circled upper K"}}},{"category":"So","key":"24C1","mappings":{"default":{"default":"circled latin capital letter l","short":"circled cap l"},"mathspeak":{"default":"circled upper L"}}},{"category":"So","key":"24C2","mappings":{"default":{"default":"circled latin capital letter m","short":"circled cap m"},"mathspeak":{"default":"circled upper M"}}},{"category":"So","key":"24C3","mappings":{"default":{"default":"circled latin capital letter n","short":"circled cap n"},"mathspeak":{"default":"circled upper N"}}},{"category":"So","key":"24C4","mappings":{"default":{"default":"circled latin capital letter o","short":"circled cap o"},"mathspeak":{"default":"circled upper O"}}},{"category":"So","key":"24C5","mappings":{"default":{"default":"circled latin capital letter p","short":"circled cap p"},"mathspeak":{"default":"circled upper P"}}},{"category":"So","key":"24C6","mappings":{"default":{"default":"circled latin capital letter q","short":"circled cap q"},"mathspeak":{"default":"circled upper Q"}}},{"category":"So","key":"24C7","mappings":{"default":{"default":"circled latin capital letter r","short":"circled cap r"},"mathspeak":{"default":"circled upper R"}}},{"category":"So","key":"24C8","mappings":{"default":{"default":"circled latin capital letter s","short":"circled cap s"},"mathspeak":{"default":"circled upper S"}}},{"category":"So","key":"24C9","mappings":{"default":{"default":"circled latin capital letter t","short":"circled cap t"},"mathspeak":{"default":"circled upper T"}}},{"category":"So","key":"24CA","mappings":{"default":{"default":"circled latin capital letter u","short":"circled cap u"},"mathspeak":{"default":"circled upper U"}}},{"category":"So","key":"24CB","mappings":{"default":{"default":"circled latin capital letter v","short":"circled cap v"},"mathspeak":{"default":"circled upper V"}}},{"category":"So","key":"24CC","mappings":{"default":{"default":"circled latin capital letter w","short":"circled cap w"},"mathspeak":{"default":"circled upper W"}}},{"category":"So","key":"24CD","mappings":{"default":{"default":"circled latin capital letter x","short":"circled cap x"},"mathspeak":{"default":"circled upper X"}}},{"category":"So","key":"24CE","mappings":{"default":{"default":"circled latin capital letter y","short":"circled cap y"},"mathspeak":{"default":"circled upper Y"}}},{"category":"So","key":"24CF","mappings":{"default":{"default":"circled latin capital letter z","short":"circled cap z"},"mathspeak":{"default":"circled upper Z"}}},{"category":"So","key":"24D0","mappings":{"default":{"default":"circled latin small letter a","short":"circled a"}}},{"category":"So","key":"24D1","mappings":{"default":{"default":"circled latin small letter b","short":"circled b"}}},{"category":"So","key":"24D2","mappings":{"default":{"default":"circled latin small letter c","short":"circled c"}}},{"category":"So","key":"24D3","mappings":{"default":{"default":"circled latin small letter d","short":"circled d"}}},{"category":"So","key":"24D4","mappings":{"default":{"default":"circled latin small letter e","short":"circled e"}}},{"category":"So","key":"24D5","mappings":{"default":{"default":"circled latin small letter f","short":"circled f"}}},{"category":"So","key":"24D6","mappings":{"default":{"default":"circled latin small letter g","short":"circled g"}}},{"category":"So","key":"24D7","mappings":{"default":{"default":"circled latin small letter h","short":"circled h"}}},{"category":"So","key":"24D8","mappings":{"default":{"default":"circled latin small letter i","short":"circled i"}}},{"category":"So","key":"24D9","mappings":{"default":{"default":"circled latin small letter j","short":"circled j"}}},{"category":"So","key":"24DA","mappings":{"default":{"default":"circled latin small letter k","short":"circled k"}}},{"category":"So","key":"24DB","mappings":{"default":{"default":"circled latin small letter l","short":"circled l"}}},{"category":"So","key":"24DC","mappings":{"default":{"default":"circled latin small letter m","short":"circled m"}}},{"category":"So","key":"24DD","mappings":{"default":{"default":"circled latin small letter n","short":"circled n"}}},{"category":"So","key":"24DE","mappings":{"default":{"default":"circled latin small letter o","short":"circled o"}}},{"category":"So","key":"24DF","mappings":{"default":{"default":"circled latin small letter p","short":"circled p"}}},{"category":"So","key":"24E0","mappings":{"default":{"default":"circled latin small letter q","short":"circled q"}}},{"category":"So","key":"24E1","mappings":{"default":{"default":"circled latin small letter r","short":"circled r"}}},{"category":"So","key":"24E2","mappings":{"default":{"default":"circled latin small letter s","short":"circled s"}}},{"category":"So","key":"24E3","mappings":{"default":{"default":"circled latin small letter t","short":"circled t"}}},{"category":"So","key":"24E4","mappings":{"default":{"default":"circled latin small letter u","short":"circled u"}}},{"category":"So","key":"24E5","mappings":{"default":{"default":"circled latin small letter v","short":"circled v"}}},{"category":"So","key":"24E6","mappings":{"default":{"default":"circled latin small letter w","short":"circled w"}}},{"category":"So","key":"24E7","mappings":{"default":{"default":"circled latin small letter x","short":"circled x"}}},{"category":"So","key":"24E8","mappings":{"default":{"default":"circled latin small letter y","short":"circled y"}}},{"category":"So","key":"24E9","mappings":{"default":{"default":"circled latin small letter z","short":"circled z"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"latin subscript small letter j","short":"subscript j"}}},{"category":"So","key":"1F110","mappings":{"default":{"default":"parenthesized latin capital letter a","short":"parenthesized cap a"},"mathspeak":{"default":"parenthesized upper A"}}},{"category":"So","key":"1F111","mappings":{"default":{"default":"parenthesized latin capital letter b","short":"parenthesized cap b"},"mathspeak":{"default":"parenthesized upper B"}}},{"category":"So","key":"1F112","mappings":{"default":{"default":"parenthesized latin capital letter c","short":"parenthesized cap c"},"mathspeak":{"default":"parenthesized upper C"}}},{"category":"So","key":"1F113","mappings":{"default":{"default":"parenthesized latin capital letter d","short":"parenthesized cap d"},"mathspeak":{"default":"parenthesized upper D"}}},{"category":"So","key":"1F114","mappings":{"default":{"default":"parenthesized latin capital letter e","short":"parenthesized cap e"},"mathspeak":{"default":"parenthesized upper E"}}},{"category":"So","key":"1F115","mappings":{"default":{"default":"parenthesized latin capital letter f","short":"parenthesized cap f"},"mathspeak":{"default":"parenthesized upper F"}}},{"category":"So","key":"1F116","mappings":{"default":{"default":"parenthesized latin capital letter g","short":"parenthesized cap g"},"mathspeak":{"default":"parenthesized upper G"}}},{"category":"So","key":"1F117","mappings":{"default":{"default":"parenthesized latin capital letter h","short":"parenthesized cap h"},"mathspeak":{"default":"parenthesized upper H"}}},{"category":"So","key":"1F118","mappings":{"default":{"default":"parenthesized latin capital letter i","short":"parenthesized cap i"},"mathspeak":{"default":"parenthesized upper I"}}},{"category":"So","key":"1F119","mappings":{"default":{"default":"parenthesized latin capital letter j","short":"parenthesized cap j"},"mathspeak":{"default":"parenthesized upper J"}}},{"category":"So","key":"1F11A","mappings":{"default":{"default":"parenthesized latin capital letter k","short":"parenthesized cap k"},"mathspeak":{"default":"parenthesized upper K"}}},{"category":"So","key":"1F11B","mappings":{"default":{"default":"parenthesized latin capital letter l","short":"parenthesized cap l"},"mathspeak":{"default":"parenthesized upper L"}}},{"category":"So","key":"1F11C","mappings":{"default":{"default":"parenthesized latin capital letter m","short":"parenthesized cap m"},"mathspeak":{"default":"parenthesized upper M"}}},{"category":"So","key":"1F11D","mappings":{"default":{"default":"parenthesized latin capital letter n","short":"parenthesized cap n"},"mathspeak":{"default":"parenthesized upper N"}}},{"category":"So","key":"1F11E","mappings":{"default":{"default":"parenthesized latin capital letter o","short":"parenthesized cap o"},"mathspeak":{"default":"parenthesized upper O"}}},{"category":"So","key":"1F11F","mappings":{"default":{"default":"parenthesized latin capital letter p","short":"parenthesized cap p"},"mathspeak":{"default":"parenthesized upper P"}}},{"category":"So","key":"1F120","mappings":{"default":{"default":"parenthesized latin capital letter q","short":"parenthesized cap q"},"mathspeak":{"default":"parenthesized upper Q"}}},{"category":"So","key":"1F121","mappings":{"default":{"default":"parenthesized latin capital letter r","short":"parenthesized cap r"},"mathspeak":{"default":"parenthesized upper R"}}},{"category":"So","key":"1F122","mappings":{"default":{"default":"parenthesized latin capital letter s","short":"parenthesized cap s"},"mathspeak":{"default":"parenthesized upper S"}}},{"category":"So","key":"1F123","mappings":{"default":{"default":"parenthesized latin capital letter t","short":"parenthesized cap t"},"mathspeak":{"default":"parenthesized upper T"}}},{"category":"So","key":"1F124","mappings":{"default":{"default":"parenthesized latin capital letter u","short":"parenthesized cap u"},"mathspeak":{"default":"parenthesized upper U"}}},{"category":"So","key":"1F125","mappings":{"default":{"default":"parenthesized latin capital letter v","short":"parenthesized cap v"},"mathspeak":{"default":"parenthesized upper V"}}},{"category":"So","key":"1F126","mappings":{"default":{"default":"parenthesized latin capital letter w","short":"parenthesized cap w"},"mathspeak":{"default":"parenthesized upper W"}}},{"category":"So","key":"1F127","mappings":{"default":{"default":"parenthesized latin capital letter x","short":"parenthesized cap x"},"mathspeak":{"default":"parenthesized upper X"}}},{"category":"So","key":"1F128","mappings":{"default":{"default":"parenthesized latin capital letter y","short":"parenthesized cap y"},"mathspeak":{"default":"parenthesized upper Y"}}},{"category":"So","key":"1F129","mappings":{"default":{"default":"parenthesized latin capital letter z","short":"parenthesized cap z"},"mathspeak":{"default":"parenthesized upper Z"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"tortoise shell bracketed latin capital letter s","short":"tortoise shell bracketed cap s"},"mathspeak":{"default":"tortoise shell bracketed upper S"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"circled italic latin capital letter c","short":"circled italic cap c"},"mathspeak":{"default":"circled italic upper C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"circled italic latin capital letter r","short":"circled italic cap r"},"mathspeak":{"default":"circled italic upper R"}}},{"category":"So","key":"1F130","mappings":{"default":{"default":"squared latin capital letter a","short":"squared cap a"},"mathspeak":{"default":"squared upper A"}}},{"category":"So","key":"1F131","mappings":{"default":{"default":"squared latin capital letter b","short":"squared cap b"},"mathspeak":{"default":"squared upper B"}}},{"category":"So","key":"1F132","mappings":{"default":{"default":"squared latin capital letter c","short":"squared cap c"},"mathspeak":{"default":"squared upper C"}}},{"category":"So","key":"1F133","mappings":{"default":{"default":"squared latin capital letter d","short":"squared cap d"},"mathspeak":{"default":"squared upper D"}}},{"category":"So","key":"1F134","mappings":{"default":{"default":"squared latin capital letter e","short":"squared cap e"},"mathspeak":{"default":"squared upper E"}}},{"category":"So","key":"1F135","mappings":{"default":{"default":"squared latin capital letter f","short":"squared cap f"},"mathspeak":{"default":"squared upper F"}}},{"category":"So","key":"1F136","mappings":{"default":{"default":"squared latin capital letter g","short":"squared cap g"},"mathspeak":{"default":"squared upper G"}}},{"category":"So","key":"1F137","mappings":{"default":{"default":"squared latin capital letter h","short":"squared cap h"},"mathspeak":{"default":"squared upper H"}}},{"category":"So","key":"1F138","mappings":{"default":{"default":"squared latin capital letter i","short":"squared cap i"},"mathspeak":{"default":"squared upper I"}}},{"category":"So","key":"1F139","mappings":{"default":{"default":"squared latin capital letter j","short":"squared cap j"},"mathspeak":{"default":"squared upper J"}}},{"category":"So","key":"1F13A","mappings":{"default":{"default":"squared latin capital letter k","short":"squared cap k"},"mathspeak":{"default":"squared upper K"}}},{"category":"So","key":"1F13B","mappings":{"default":{"default":"squared latin capital letter l","short":"squared cap l"},"mathspeak":{"default":"squared upper L"}}},{"category":"So","key":"1F13C","mappings":{"default":{"default":"squared latin capital letter m","short":"squared cap m"},"mathspeak":{"default":"squared upper M"}}},{"category":"So","key":"1F13D","mappings":{"default":{"default":"squared latin capital letter n","short":"squared cap n"},"mathspeak":{"default":"squared upper N"}}},{"category":"So","key":"1F13E","mappings":{"default":{"default":"squared latin capital letter o","short":"squared cap o"},"mathspeak":{"default":"squared upper O"}}},{"category":"So","key":"1F13F","mappings":{"default":{"default":"squared latin capital letter p","short":"squared cap p"},"mathspeak":{"default":"squared upper P"}}},{"category":"So","key":"1F140","mappings":{"default":{"default":"squared latin capital letter q","short":"squared cap q"},"mathspeak":{"default":"squared upper Q"}}},{"category":"So","key":"1F141","mappings":{"default":{"default":"squared latin capital letter r","short":"squared cap r"},"mathspeak":{"default":"squared upper R"}}},{"category":"So","key":"1F142","mappings":{"default":{"default":"squared latin capital letter s","short":"squared cap s"},"mathspeak":{"default":"squared upper S"}}},{"category":"So","key":"1F143","mappings":{"default":{"default":"squared latin capital letter t","short":"squared cap t"},"mathspeak":{"default":"squared upper T"}}},{"category":"So","key":"1F144","mappings":{"default":{"default":"squared latin capital letter u","short":"squared cap u"},"mathspeak":{"default":"squared upper U"}}},{"category":"So","key":"1F145","mappings":{"default":{"default":"squared latin capital letter v","short":"squared cap v"},"mathspeak":{"default":"squared upper V"}}},{"category":"So","key":"1F146","mappings":{"default":{"default":"squared latin capital letter w","short":"squared cap w"},"mathspeak":{"default":"squared upper W"}}},{"category":"So","key":"1F147","mappings":{"default":{"default":"squared latin capital letter x","short":"squared cap x"},"mathspeak":{"default":"squared upper X"}}},{"category":"So","key":"1F148","mappings":{"default":{"default":"squared latin capital letter y","short":"squared cap y"},"mathspeak":{"default":"squared upper Y"}}},{"category":"So","key":"1F149","mappings":{"default":{"default":"squared latin capital letter z","short":"squared cap z"},"mathspeak":{"default":"squared upper Z"}}},{"category":"So","key":"1F150","mappings":{"default":{"default":"negative circled latin capital letter a","short":"negative circled cap a"},"mathspeak":{"default":"negative circled upper A"}}},{"category":"So","key":"1F151","mappings":{"default":{"default":"negative circled latin capital letter b","short":"negative circled cap b"},"mathspeak":{"default":"negative circled upper B"}}},{"category":"So","key":"1F152","mappings":{"default":{"default":"negative circled latin capital letter c","short":"negative circled cap c"},"mathspeak":{"default":"negative circled upper C"}}},{"category":"So","key":"1F153","mappings":{"default":{"default":"negative circled latin capital letter d","short":"negative circled cap d"},"mathspeak":{"default":"negative circled upper D"}}},{"category":"So","key":"1F154","mappings":{"default":{"default":"negative circled latin capital letter e","short":"negative circled cap e"},"mathspeak":{"default":"negative circled upper E"}}},{"category":"So","key":"1F155","mappings":{"default":{"default":"negative circled latin capital letter f","short":"negative circled cap f"},"mathspeak":{"default":"negative circled upper F"}}},{"category":"So","key":"1F156","mappings":{"default":{"default":"negative circled latin capital letter g","short":"negative circled cap g"},"mathspeak":{"default":"negative circled upper G"}}},{"category":"So","key":"1F157","mappings":{"default":{"default":"negative circled latin capital letter h","short":"negative circled cap h"},"mathspeak":{"default":"negative circled upper H"}}},{"category":"So","key":"1F158","mappings":{"default":{"default":"negative circled latin capital letter i","short":"negative circled cap i"},"mathspeak":{"default":"negative circled upper I"}}},{"category":"So","key":"1F159","mappings":{"default":{"default":"negative circled latin capital letter j","short":"negative circled cap j"},"mathspeak":{"default":"negative circled upper J"}}},{"category":"So","key":"1F15A","mappings":{"default":{"default":"negative circled latin capital letter k","short":"negative circled cap k"},"mathspeak":{"default":"negative circled upper K"}}},{"category":"So","key":"1F15B","mappings":{"default":{"default":"negative circled latin capital letter l","short":"negative circled cap l"},"mathspeak":{"default":"negative circled upper L"}}},{"category":"So","key":"1F15C","mappings":{"default":{"default":"negative circled latin capital letter m","short":"negative circled cap m"},"mathspeak":{"default":"negative circled upper M"}}},{"category":"So","key":"1F15D","mappings":{"default":{"default":"negative circled latin capital letter n","short":"negative circled cap n"},"mathspeak":{"default":"negative circled upper N"}}},{"category":"So","key":"1F15E","mappings":{"default":{"default":"negative circled latin capital letter o","short":"negative circled cap o"},"mathspeak":{"default":"negative circled upper O"}}},{"category":"So","key":"1F15F","mappings":{"default":{"default":"negative circled latin capital letter p","short":"negative circled cap p"},"mathspeak":{"default":"negative circled upper P"}}},{"category":"So","key":"1F160","mappings":{"default":{"default":"negative circled latin capital letter q","short":"negative circled cap q"},"mathspeak":{"default":"negative circled upper Q"}}},{"category":"So","key":"1F161","mappings":{"default":{"default":"negative circled latin capital letter r","short":"negative circled cap r"},"mathspeak":{"default":"negative circled upper R"}}},{"category":"So","key":"1F162","mappings":{"default":{"default":"negative circled latin capital letter s","short":"negative circled cap s"},"mathspeak":{"default":"negative circled upper S"}}},{"category":"So","key":"1F163","mappings":{"default":{"default":"negative circled latin capital letter t","short":"negative circled cap t"},"mathspeak":{"default":"negative circled upper T"}}},{"category":"So","key":"1F164","mappings":{"default":{"default":"negative circled latin capital letter u","short":"negative circled cap u"},"mathspeak":{"default":"negative circled upper U"}}},{"category":"So","key":"1F165","mappings":{"default":{"default":"negative circled latin capital letter v","short":"negative circled cap v"},"mathspeak":{"default":"negative circled upper V"}}},{"category":"So","key":"1F166","mappings":{"default":{"default":"negative circled latin capital letter w","short":"negative circled cap w"},"mathspeak":{"default":"negative circled upper W"}}},{"category":"So","key":"1F167","mappings":{"default":{"default":"negative circled latin capital letter x","short":"negative circled cap x"},"mathspeak":{"default":"negative circled upper X"}}},{"category":"So","key":"1F168","mappings":{"default":{"default":"negative circled latin capital letter y","short":"negative circled cap y"},"mathspeak":{"default":"negative circled upper Y"}}},{"category":"So","key":"1F169","mappings":{"default":{"default":"negative circled latin capital letter z","short":"negative circled cap z"},"mathspeak":{"default":"negative circled upper Z"}}},{"category":"So","key":"1F170","mappings":{"default":{"default":"negative squared latin capital letter a","short":"negative squared cap a"},"mathspeak":{"default":"negative squared upper A"}}},{"category":"So","key":"1F171","mappings":{"default":{"default":"negative squared latin capital letter b","short":"negative squared cap b"},"mathspeak":{"default":"negative squared upper B"}}},{"category":"So","key":"1F172","mappings":{"default":{"default":"negative squared latin capital letter c","short":"negative squared cap c"},"mathspeak":{"default":"negative squared upper C"}}},{"category":"So","key":"1F173","mappings":{"default":{"default":"negative squared latin capital letter d","short":"negative squared cap d"},"mathspeak":{"default":"negative squared upper D"}}},{"category":"So","key":"1F174","mappings":{"default":{"default":"negative squared latin capital letter e","short":"negative squared cap e"},"mathspeak":{"default":"negative squared upper E"}}},{"category":"So","key":"1F175","mappings":{"default":{"default":"negative squared latin capital letter f","short":"negative squared cap f"},"mathspeak":{"default":"negative squared upper F"}}},{"category":"So","key":"1F176","mappings":{"default":{"default":"negative squared latin capital letter g","short":"negative squared cap g"},"mathspeak":{"default":"negative squared upper G"}}},{"category":"So","key":"1F177","mappings":{"default":{"default":"negative squared latin capital letter h","short":"negative squared cap h"},"mathspeak":{"default":"negative squared upper H"}}},{"category":"So","key":"1F178","mappings":{"default":{"default":"negative squared latin capital letter i","short":"negative squared cap i"},"mathspeak":{"default":"negative squared upper I"}}},{"category":"So","key":"1F179","mappings":{"default":{"default":"negative squared latin capital letter j","short":"negative squared cap j"},"mathspeak":{"default":"negative squared upper J"}}},{"category":"So","key":"1F17A","mappings":{"default":{"default":"negative squared latin capital letter k","short":"negative squared cap k"},"mathspeak":{"default":"negative squared upper K"}}},{"category":"So","key":"1F17B","mappings":{"default":{"default":"negative squared latin capital letter l","short":"negative squared cap l"},"mathspeak":{"default":"negative squared upper L"}}},{"category":"So","key":"1F17C","mappings":{"default":{"default":"negative squared latin capital letter m","short":"negative squared cap m"},"mathspeak":{"default":"negative squared upper M"}}},{"category":"So","key":"1F17D","mappings":{"default":{"default":"negative squared latin capital letter n","short":"negative squared cap n"},"mathspeak":{"default":"negative squared upper N"}}},{"category":"So","key":"1F17E","mappings":{"default":{"default":"negative squared latin capital letter o","short":"negative squared cap o"},"mathspeak":{"default":"negative squared upper O"}}},{"category":"So","key":"1F17F","mappings":{"default":{"default":"negative squared latin capital letter p","short":"negative squared cap p"},"mathspeak":{"default":"negative squared upper P"}}},{"category":"So","key":"1F180","mappings":{"default":{"default":"negative squared latin capital letter q","short":"negative squared cap q"},"mathspeak":{"default":"negative squared upper Q"}}},{"category":"So","key":"1F181","mappings":{"default":{"default":"negative squared latin capital letter r","short":"negative squared cap r"},"mathspeak":{"default":"negative squared upper R"}}},{"category":"So","key":"1F182","mappings":{"default":{"default":"negative squared latin capital letter s","short":"negative squared cap s"},"mathspeak":{"default":"negative squared upper S"}}},{"category":"So","key":"1F183","mappings":{"default":{"default":"negative squared latin capital letter t","short":"negative squared cap t"},"mathspeak":{"default":"negative squared upper T"}}},{"category":"So","key":"1F184","mappings":{"default":{"default":"negative squared latin capital letter u","short":"negative squared cap u"},"mathspeak":{"default":"negative squared upper U"}}},{"category":"So","key":"1F185","mappings":{"default":{"default":"negative squared latin capital letter v","short":"negative squared cap v"},"mathspeak":{"default":"negative squared upper V"}}},{"category":"So","key":"1F186","mappings":{"default":{"default":"negative squared latin capital letter w","short":"negative squared cap w"},"mathspeak":{"default":"negative squared upper W"}}},{"category":"So","key":"1F187","mappings":{"default":{"default":"negative squared latin capital letter x","short":"negative squared cap x"},"mathspeak":{"default":"negative squared upper X"}}},{"category":"So","key":"1F188","mappings":{"default":{"default":"negative squared latin capital letter y","short":"negative squared cap y"},"mathspeak":{"default":"negative squared upper Y"}}},{"category":"So","key":"1F189","mappings":{"default":{"default":"negative squared latin capital letter z","short":"negative squared cap z"},"mathspeak":{"default":"negative squared upper Z"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"crossed negative squared latin capital letter p","short":"crossed negative squared cap p"},"mathspeak":{"default":"crossed negative squared upper P"}}}]
+"de/units/memory.js": 
+[{"locale":"de"},{"key":"b","mappings":{"default":{"plural":"Bits","default":"Bit"}},"category":"memory","names":["b"]},{"key":"B","mappings":{"default":{"plural":"Bytes","default":"Byte"}},"category":"memory","names":["B"]},{"key":"KB","mappings":{"default":{"plural":"Kilobytes","default":"Kilobyte"}},"category":"memory","names":["KB"]},{"key":"MB","mappings":{"default":{"plural":"Megabytes","default":"Megabyte"}},"category":"memory","names":["MB"]},{"key":"GB","mappings":{"default":{"plural":"Gigabytes","default":"Gigabyte"}},"category":"memory","names":["GB"]},{"key":"TB","mappings":{"default":{"plural":"Terabytes","default":"Terabyte"}},"category":"memory","names":["TB"]}]
 ,
-"en/latin-upper-double-accent.js": 
-[{"locale":"en"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"latin capital letter u with diaeresis and macron","alternative":"latin capital letter u double overdot overbar","short":"cap u double overdot overbar"},"mathspeak":{"default":"upper U double overdot overbar"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"latin capital letter u with diaeresis and acute","alternative":"latin capital letter u double overdot acute","short":"cap u double overdot acute"},"mathspeak":{"default":"upper U double overdot acute"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"latin capital letter u with diaeresis and caron","alternative":"latin capital letter u double overdot hacek","short":"cap u double overdot caron"},"mathspeak":{"default":"upper U double overdot caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"latin capital letter u with diaeresis and grave","alternative":"latin capital letter u double overdot grave","short":"cap u double overdot grave"},"mathspeak":{"default":"upper U double overdot grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"latin capital letter a with diaeresis and macron","alternative":"latin capital letter a double overdot overbar","short":"cap a double overdot overbar"},"mathspeak":{"default":"upper A double overdot overbar"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"latin capital letter a with dot above and macron","alternative":"latin capital letter a dot overbar","short":"cap a overdot overbar"},"mathspeak":{"default":"upper A overdot overbar"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"latin capital letter o with ogonek and macron","alternative":"latin capital letter o ogonek overbar","short":"cap o ogonek overbar"},"mathspeak":{"default":"upper O ogonek overbar"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"latin capital letter a with ring above and acute","alternative":"latin capital letter a ring acute","short":"cap a ring acute"},"mathspeak":{"default":"upper A ring acute"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"latin capital letter o with diaeresis and macron","alternative":"latin capital letter o double overdot overbar","short":"cap o double overdot overbar"},"mathspeak":{"default":"upper O double overdot overbar"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"latin capital letter o with tilde and macron","alternative":"latin capital letter o tilde overbar","short":"cap o tilde overbar"},"mathspeak":{"default":"upper O tilde overbar"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"latin capital letter o with dot above and macron","alternative":"latin capital letter o overdot overbar","short":"cap o overdot overbar"},"mathspeak":{"default":"upper O overdot overbar"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"latin capital letter c with cedilla and acute","alternative":"latin capital letter c cedilla acute","short":"cap c cedilla acute"},"mathspeak":{"default":"upper C cedilla acute"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"latin capital letter e with macron and grave","alternative":"latin capital letter e overbar grave","short":"cap e overbar grave"},"mathspeak":{"default":"upper E overbar grave"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"latin capital letter e with macron and acute","alternative":"latin capital letter e overbar acute","short":"cap e overbar acute"},"mathspeak":{"default":"upper E overbar acute"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"latin capital letter e with cedilla and breve","alternative":"latin capital letter e cedilla breve","short":"cap e cedilla breve"},"mathspeak":{"default":"upper E cedilla breve"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"latin capital letter i with diaeresis and acute","alternative":"latin capital letter i double overdot acute","short":"cap i double overdot acute"},"mathspeak":{"default":"upper I double overdot acute"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"latin capital letter l with dot below and macron","alternative":"latin capital letter l underdot overbar","short":"cap l underdot overbar"},"mathspeak":{"default":"upper L underdot overbar"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"latin capital letter o with tilde and acute","alternative":"latin capital letter o tilde acute","short":"cap o tilde acute"},"mathspeak":{"default":"upper O tilde acute"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"latin capital letter o with tilde and diaeresis","alternative":"latin capital letter o tilde double overdot","short":"cap o tilde double overdot"},"mathspeak":{"default":"upper O tilde double overdot"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"latin capital letter o with macron and grave","alternative":"latin capital letter o overbar grave","short":"cap o overbar grave"},"mathspeak":{"default":"upper O overbar grave"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"latin capital letter o with macron and acute","alternative":"latin capital letter o overbar acute","short":"cap o overbar acute"},"mathspeak":{"default":"upper O overbar acute"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"latin capital letter r with dot below and macron","alternative":"cap r underdot and overbar","short":"cap r overbar underdot"},"mathspeak":{"default":"upper R overbar underdot"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"latin capital letter s with acute dot above","alternative":"latin capital letter s acute overdot","short":"cap s acute overdot"},"mathspeak":{"default":"upper S acute overdot"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"latin capital letter s with caron and dot above","alternative":"latin capital letter s caron overdot","short":"cap s caron overdot"},"mathspeak":{"default":"upper S caron overdot"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"latin capital letter s with dot below and dot above","alternative":"latin capital letter s underdot overdot","short":"cap s underdot overdot"},"mathspeak":{"default":"upper S underdot overdot"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"latin capital letter u with tilde and acute","alternative":"latin capital letter u tilde acute","short":"cap u tilde acute"},"mathspeak":{"default":"upper U tilde acute"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"latin capital letter u with macron and diaeresis","alternative":"latin capital letter u overbar double overdot","short":"cap u overbar double overdot"},"mathspeak":{"default":"upper U overbar double overdot"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"latin capital letter a with circumflex and acute","alternative":"latin capital letter a hat acute","short":"cap a hat acute"},"mathspeak":{"default":"upper A hat acute"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"latin capital letter a with circumflex and grave","alternative":"latin capital letter a hat grave","short":"cap a hat grave"},"mathspeak":{"default":"upper A hat grave"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"latin capital letter a with circumflex and hook above","alternative":"latin capital letter a hat hook","short":"cap a hat hook"},"mathspeak":{"default":"upper A hat hook"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"latin capital letter a with circumflex and tilde","alternative":"latin capital letter a hat tilde","short":"cap a hat tilde"},"mathspeak":{"default":"upper A hat tilde"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"latin capital letter a with circumflex and dot below","alternative":"latin capital letter a hat underdot","short":"cap a hat underdot"},"mathspeak":{"default":"upper A hat underdot"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"latin capital letter a with breve and acute","alternative":"latin capital letter a breve acute","short":"cap a breve acute"},"mathspeak":{"default":"upper A breve acute"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"latin capital letter a with breve and grave","alternative":"latin capital letter a breve grave","short":"cap a breve grave"},"mathspeak":{"default":"upper A breve grave"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"latin capital letter a with breve and hook above","alternative":"latin capital letter a breve hook","short":"cap a breve hook"},"mathspeak":{"default":"upper A breve hook"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"latin capital letter a with breve and tilde","alternative":"latin capital letter a breve tilde","short":"cap a breve tilde"},"mathspeak":{"default":"upper A breve tilde"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"latin capital letter a with breve and dot below","alternative":"latin capital letter a breve underdot","short":"cap a breve underdot"},"mathspeak":{"default":"upper A breve underdot"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"latin capital letter e with circumflex and acute","alternative":"latin capital letter e hat acute","short":"cap e hat acute"},"mathspeak":{"default":"upper E hat acute"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"latin capital letter e with circumflex and grave","alternative":"latin capital letter e hat grave","short":"cap e hat grave"},"mathspeak":{"default":"upper E hat grave"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"latin capital letter e with circumflex and hook above","alternative":"latin capital letter e hat hook","short":"cap e hat hook"},"mathspeak":{"default":"upper E hat hook"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"latin capital letter e with circumflex and tilde","alternative":"latin capital letter e hat tilde","short":"cap e hat tilde"},"mathspeak":{"default":"upper E hat tilde"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"latin capital letter e with circumflex and dot below","alternative":"latin capital letter e hat underdot","short":"cap e hat underdot"},"mathspeak":{"default":"upper E hat underdot"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"latin capital letter o with circumflex and acute","alternative":"latin capital letter o hat acute","short":"cap o hat acute"},"mathspeak":{"default":"upper O hat acute"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"latin capital letter o with circumflex and grave","alternative":"latin capital letter o hat grave","short":"cap o hat grave"},"mathspeak":{"default":"upper O hat grave"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"latin capital letter o with circumflex and hook above","alternative":"latin capital letter o hat hook","short":"cap o hat hook"},"mathspeak":{"default":"upper O hat hook"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"latin capital letter o with circumflex and tilde","alternative":"latin capital letter o hat tilde","short":"cap o hat tilde"},"mathspeak":{"default":"upper O hat tilde"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"latin capital letter o with circumflex and dot below","alternative":"latin capital letter o hat underdot","short":"cap o hat underdot"},"mathspeak":{"default":"upper O hat underdot"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"latin capital letter o with horn and acute","alternative":"latin capital letter o acute prime","short":"cap o acute prime"},"mathspeak":{"default":"upper O acute prime"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"latin capital letter o with horn and grave","alternative":"latin capital letter o grave prime","short":"cap o grave prime"},"mathspeak":{"default":"upper O grave prime"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"latin capital letter o with horn and hook above","alternative":"latin capital letter o hook prime","short":"cap o hook prime"},"mathspeak":{"default":"upper O hook prime"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"latin capital letter o with horn and tilde","alternative":"latin capital letter o tilde prime","short":"cap o tilde prime"},"mathspeak":{"default":"upper O tilde prime"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"latin capital letter o with horn and dot below","alternative":"latin capital letter o underdot prime","short":"cap o underdot prime"},"mathspeak":{"default":"upper O underdot prime"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"latin capital letter u with horn and acute","alternative":"latin capital letter u acute prime","short":"cap u acute prime"},"mathspeak":{"default":"upper U acute prime"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"latin capital letter u with horn and grave","alternative":"latin capital letter u grave prime","short":"cap u grave prime"},"mathspeak":{"default":"upper U grave prime"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"latin capital letter u with horn and hook above","alternative":"latin capital letter u hook prime","short":"cap u hook prime"},"mathspeak":{"default":"upper U hook prime"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"latin capital letter u with horn and tilde","alternative":"latin capital letter u tilde prime","short":"cap u tilde prime"},"mathspeak":{"default":"upper U tilde prime"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"latin capital letter u with horn and dot below","alternative":"latin capital letter u underdot prime","short":"cap u underdot prime"},"mathspeak":{"default":"upper U underdot prime"}}}]
+"de/units/other.js": 
+[{"locale":"de"},{"key":"ha","mappings":{"default":{"default":"Hektar"}},"category":"other","names":["ha"]},{"category":"other","mappings":{"default":{"default":"Dutzend"}},"key":"doz","names":["doz","doz.","dz","dz."]}]
 ,
-"en/latin-upper-normal.js": 
-[{"locale":"en"},{"category":"Lu","key":"0041","mappings":{"default":{"default":"latin capital letter a","short":"cap a"},"mathspeak":{"default":"upper A"}}},{"category":"Lu","key":"0042","mappings":{"default":{"default":"latin capital letter b","short":"cap b"},"mathspeak":{"default":"upper B"}}},{"category":"Lu","key":"0043","mappings":{"default":{"default":"latin capital letter c","short":"cap c"},"mathspeak":{"default":"upper C"}}},{"category":"Lu","key":"0044","mappings":{"default":{"default":"latin capital letter d","short":"cap d"},"mathspeak":{"default":"upper D"}}},{"category":"Lu","key":"0045","mappings":{"default":{"default":"latin capital letter e","short":"cap e"},"mathspeak":{"default":"upper E"}}},{"category":"Lu","key":"0046","mappings":{"default":{"default":"latin capital letter f","short":"cap f"},"mathspeak":{"default":"upper F"}}},{"category":"Lu","key":"0047","mappings":{"default":{"default":"latin capital letter g","short":"cap g"},"mathspeak":{"default":"upper G"}}},{"category":"Lu","key":"0048","mappings":{"default":{"default":"latin capital letter h","short":"cap h"},"mathspeak":{"default":"upper H"}}},{"category":"Lu","key":"0049","mappings":{"default":{"default":"latin capital letter i","short":"cap i"},"mathspeak":{"default":"upper I"}}},{"category":"Lu","key":"004A","mappings":{"default":{"default":"latin capital letter j","short":"cap j"},"mathspeak":{"default":"upper J"}}},{"category":"Lu","key":"004B","mappings":{"default":{"default":"latin capital letter k","short":"cap k"},"mathspeak":{"default":"upper K"}}},{"category":"Lu","key":"004C","mappings":{"default":{"default":"latin capital letter l","short":"cap l"},"mathspeak":{"default":"upper L"}}},{"category":"Lu","key":"004D","mappings":{"default":{"default":"latin capital letter m","short":"cap m"},"mathspeak":{"default":"upper M"}}},{"category":"Lu","key":"004E","mappings":{"default":{"default":"latin capital letter n","short":"cap n"},"mathspeak":{"default":"upper N"}}},{"category":"Lu","key":"004F","mappings":{"default":{"default":"latin capital letter o","short":"cap o"},"mathspeak":{"default":"upper O"}}},{"category":"Lu","key":"0050","mappings":{"default":{"default":"latin capital letter p","short":"cap p"},"mathspeak":{"default":"upper P"}}},{"category":"Lu","key":"0051","mappings":{"default":{"default":"latin capital letter q","short":"cap q"},"mathspeak":{"default":"upper Q"}}},{"category":"Lu","key":"0052","mappings":{"default":{"default":"latin capital letter r","short":"cap r"},"mathspeak":{"default":"upper R"}}},{"category":"Lu","key":"0053","mappings":{"default":{"default":"latin capital letter s","short":"cap s"},"mathspeak":{"default":"upper S"}}},{"category":"Lu","key":"0054","mappings":{"default":{"default":"latin capital letter t","short":"cap t"},"mathspeak":{"default":"upper T"}}},{"category":"Lu","key":"0055","mappings":{"default":{"default":"latin capital letter u","short":"cap u"},"mathspeak":{"default":"upper U"}}},{"category":"Lu","key":"0056","mappings":{"default":{"default":"latin capital letter v","short":"cap v"},"mathspeak":{"default":"upper V"}}},{"category":"Lu","key":"0057","mappings":{"default":{"default":"latin capital letter w","short":"cap w"},"mathspeak":{"default":"upper W"}}},{"category":"Lu","key":"0058","mappings":{"default":{"default":"latin capital letter x","short":"cap x"},"mathspeak":{"default":"upper X"}}},{"category":"Lu","key":"0059","mappings":{"default":{"default":"latin capital letter y","short":"cap y"},"mathspeak":{"default":"upper Y"}}},{"category":"Lu","key":"005A","mappings":{"default":{"default":"latin capital letter z","short":"cap z"},"mathspeak":{"default":"upper Z"}}},{"category":"Lu","key":"FF21","mappings":{"default":{"default":"fullwidth latin capital letter a","alternative":"fullwidth latin cap a","short":"cap a"},"mathspeak":{"default":"upper A"}}},{"category":"Lu","key":"FF22","mappings":{"default":{"default":"fullwidth latin capital letter b","alternative":"fullwidth latin cap b","short":"cap b"},"mathspeak":{"default":"upper B"}}},{"category":"Lu","key":"FF23","mappings":{"default":{"default":"fullwidth latin capital letter c","alternative":"fullwidth latin cap c","short":"cap c"},"mathspeak":{"default":"upper C"}}},{"category":"Lu","key":"FF24","mappings":{"default":{"default":"fullwidth latin capital letter d","alternative":"fullwidth latin cap d","short":"cap d"},"mathspeak":{"default":"upper D"}}},{"category":"Lu","key":"FF25","mappings":{"default":{"default":"fullwidth latin capital letter e","alternative":"fullwidth latin cap e","short":"cap e"},"mathspeak":{"default":"upper E"}}},{"category":"Lu","key":"FF26","mappings":{"default":{"default":"fullwidth latin capital letter f","alternative":"fullwidth latin cap f","short":"cap f"},"mathspeak":{"default":"upper F"}}},{"category":"Lu","key":"FF27","mappings":{"default":{"default":"fullwidth latin capital letter g","alternative":"fullwidth latin cap g","short":"cap g"},"mathspeak":{"default":"upper G"}}},{"category":"Lu","key":"FF28","mappings":{"default":{"default":"fullwidth latin capital letter h","alternative":"fullwidth latin cap h","short":"cap h"},"mathspeak":{"default":"upper H"}}},{"category":"Lu","key":"FF29","mappings":{"default":{"default":"fullwidth latin capital letter i","alternative":"fullwidth latin cap i","short":"cap i"},"mathspeak":{"default":"upper I"}}},{"category":"Lu","key":"FF2A","mappings":{"default":{"default":"fullwidth latin capital letter j","alternative":"fullwidth latin cap j","short":"cap j"},"mathspeak":{"default":"upper J"}}},{"category":"Lu","key":"FF2B","mappings":{"default":{"default":"fullwidth latin capital letter k","alternative":"fullwidth latin cap k","short":"cap k"},"mathspeak":{"default":"upper K"}}},{"category":"Lu","key":"FF2C","mappings":{"default":{"default":"fullwidth latin capital letter l","alternative":"fullwidth latin cap l","short":"cap l"},"mathspeak":{"default":"upper L"}}},{"category":"Lu","key":"FF2D","mappings":{"default":{"default":"fullwidth latin capital letter m","alternative":"fullwidth latin cap m","short":"cap m"},"mathspeak":{"default":"upper M"}}},{"category":"Lu","key":"FF2E","mappings":{"default":{"default":"fullwidth latin capital letter n","alternative":"fullwidth latin cap n","short":"cap n"},"mathspeak":{"default":"upper N"}}},{"category":"Lu","key":"FF2F","mappings":{"default":{"default":"fullwidth latin capital letter o","alternative":"fullwidth latin cap o","short":"cap o"},"mathspeak":{"default":"upper O"}}},{"category":"Lu","key":"FF30","mappings":{"default":{"default":"fullwidth latin capital letter p","alternative":"fullwidth latin cap p","short":"cap p"},"mathspeak":{"default":"upper P"}}},{"category":"Lu","key":"FF31","mappings":{"default":{"default":"fullwidth latin capital letter q","alternative":"fullwidth latin cap q","short":"cap q"},"mathspeak":{"default":"upper Q"}}},{"category":"Lu","key":"FF32","mappings":{"default":{"default":"fullwidth latin capital letter r","alternative":"fullwidth latin cap r","short":"cap r"},"mathspeak":{"default":"upper R"}}},{"category":"Lu","key":"FF33","mappings":{"default":{"default":"fullwidth latin capital letter s","alternative":"fullwidth latin cap s","short":"cap s"},"mathspeak":{"default":"upper S"}}},{"category":"Lu","key":"FF34","mappings":{"default":{"default":"fullwidth latin capital letter t","alternative":"fullwidth latin cap t","short":"cap t"},"mathspeak":{"default":"upper T"}}},{"category":"Lu","key":"FF35","mappings":{"default":{"default":"fullwidth latin capital letter u","alternative":"fullwidth latin cap u","short":"cap u"},"mathspeak":{"default":"upper U"}}},{"category":"Lu","key":"FF36","mappings":{"default":{"default":"fullwidth latin capital letter v","alternative":"fullwidth latin cap v","short":"cap v"},"mathspeak":{"default":"upper V"}}},{"category":"Lu","key":"FF37","mappings":{"default":{"default":"fullwidth latin capital letter w","alternative":"fullwidth latin cap w","short":"cap w"},"mathspeak":{"default":"upper W"}}},{"category":"Lu","key":"FF38","mappings":{"default":{"default":"fullwidth latin capital letter x","alternative":"fullwidth latin cap x","short":"cap x"},"mathspeak":{"default":"upper X"}}},{"category":"Lu","key":"FF39","mappings":{"default":{"default":"fullwidth latin capital letter y","alternative":"fullwidth latin cap y","short":"cap y"},"mathspeak":{"default":"upper Y"}}},{"category":"Lu","key":"FF3A","mappings":{"default":{"default":"fullwidth latin capital letter z","alternative":"fullwidth latin cap z","short":"cap z"},"mathspeak":{"default":"upper Z"}}}]
+"de/units/speed.js": 
+[{"locale":"de"},{"category":"speed","mappings":{"default":{"default":"Knoten"}},"key":"kt","names":["kt","kt."]},{"key":"mph","mappings":{"default":{"default":"Meilen pro Stunde","singular":"Meile pro Stunde"}},"category":"speed","names":["mph"]},{"key":"kmh","mappings":{"default":{"default":"Kilometer pro Stunde"}},"category":"speed","names":["kmh"]},{"key":"rpm","mappings":{"default":{"default":"Umdrehungen pro Minute","singular":"Umdrehung pro Minute"}},"category":"speed","names":["rpm"]}]
 ,
-"en/latin-upper-single-accent.js": 
-[{"locale":"en"},{"category":"Lu","key":"00C0","mappings":{"default":{"default":"latin capital letter a with grave","alternative":"latin capital letter a grave","short":"cap a grave"},"mathspeak":{"default":"modifying above upper A with grave","brief":"mod above upper A with grave","sbrief":"mod above upper A with grave"}}},{"category":"Lu","key":"00C1","mappings":{"default":{"default":"latin capital letter a with acute","alternative":"latin capital letter a acute","short":"cap a acute"},"mathspeak":{"default":"modifying above upper A with acute","brief":"mod above upper A with acute","sbrief":"mod above upper A with acute"}}},{"category":"Lu","key":"00C2","mappings":{"default":{"default":"latin capital letter a with circumflex","alternative":"latin capital letter a hat","short":"cap a hat"},"mathspeak":{"default":"modifying above upper A with caret","brief":"mod above upper A with caret","sbrief":"mod above upper A with caret"}}},{"category":"Lu","key":"00C3","mappings":{"default":{"default":"latin capital letter a with tilde","alternative":"latin capital letter a tilde","short":"cap a tilde"},"mathspeak":{"default":"upper A overtilde","brief":"upper A overtilde","sbrief":"upper A overtilde"}}},{"category":"Lu","key":"00C4","mappings":{"default":{"default":"latin capital letter a with diaeresis","alternative":"latin capital letter a double overdot","short":"cap a double overdot"},"mathspeak":{"default":"modifying above upper A with double dot","brief":"mod above upper A with double dot","sbrief":"mod above upper A with double dot"}}},{"category":"Lu","key":"00C5","mappings":{"default":{"default":"latin capital letter a with ring above","alternative":"latin capital letter a ring","short":"cap a ring"},"mathspeak":{"default":"modifying above upper A with ring","brief":"mod above upper A with ring","sbrief":"mod above upper A with ring"}}},{"category":"Lu","key":"00C7","mappings":{"default":{"default":"latin capital letter c cedilla","alternative":"latin capital letter c cedilla","short":"cap c cedilla"},"mathspeak":{"default":"modifying above upper C with cedilla","brief":"mod above upper C with cedilla","sbrief":"mod above upper C with cedilla"}}},{"category":"Lu","key":"00C8","mappings":{"default":{"default":"latin capital letter e with grave","alternative":"latin capital letter e grave","short":"cap e grave"},"mathspeak":{"default":"modifying above upper E with grave","brief":"mod above upper E with grave","sbrief":"mod above upper E with grave"}}},{"category":"Lu","key":"00C9","mappings":{"default":{"default":"latin capital letter e with acute","alternative":"latin capital letter e acute","short":"cap e acute"},"mathspeak":{"default":"modifying above upper E with acute","brief":"mod above upper E with acute","sbrief":"mod above upper E with acute"}}},{"category":"Lu","key":"00CA","mappings":{"default":{"default":"latin capital letter e with circumflex","alternative":"latin capital letter e hat","short":"cap e hat"},"mathspeak":{"default":"modifying above upper E with caret","brief":"mod above upper E with caret","sbrief":"mod above upper E with caret"}}},{"category":"Lu","key":"00CB","mappings":{"default":{"default":"latin capital letter e with diaeresis","alternative":"latin capital letter e double overdot","short":"cap e double overdot"},"mathspeak":{"default":"modifying above upper E with double dot","brief":"mod above upper E with double dot","sbrief":"mod above upper E with double dot"}}},{"category":"Lu","key":"00CC","mappings":{"default":{"default":"latin capital letter i with grave","alternative":"latin capital letter i grave","short":"cap i grave"},"mathspeak":{"default":"modifying above upper I with grave","brief":"mod above upper I with grave","sbrief":"mod above upper I with grave"}}},{"category":"Lu","key":"00CD","mappings":{"default":{"default":"latin capital letter i with acute","alternative":"latin capital letter i acute","short":"cap i acute"},"mathspeak":{"default":"modifying above upper I with acute","brief":"mod above upper I with acute","sbrief":"mod above upper I with acute"}}},{"category":"Lu","key":"00CE","mappings":{"default":{"default":"latin capital letter i with circumflex","alternative":"latin capital letter i hat","short":"cap i hat"},"mathspeak":{"default":"modifying above upper I with caret","brief":"mod above upper I with caret","sbrief":"mod above upper I with caret"}}},{"category":"Lu","key":"00CF","mappings":{"default":{"default":"latin capital letter i with diaeresis","alternative":"latin capital letter i double overdot","short":"cap i double overdot"},"mathspeak":{"default":"modifying above upper I with double dot","brief":"mod above upper I with double dot","sbrief":"mod above upper I with double dot"}}},{"category":"Lu","key":"00D1","mappings":{"default":{"default":"latin capital letter n tilde","alternative":"latin capital letter n tilde","short":"cap n tilde"},"mathspeak":{"default":"upper N overtilde","brief":"upper N overtilde","sbrief":"upper N overtilde"}}},{"category":"Lu","key":"00D2","mappings":{"default":{"default":"latin capital letter o with grave","alternative":"latin capital letter o grave","short":"cap o grave"},"mathspeak":{"default":"modifying above upper O with grave","brief":"mod above upper O with grave","sbrief":"mod above upper O with grave"}}},{"category":"Lu","key":"00D3","mappings":{"default":{"default":"latin capital letter o with acute","alternative":"latin capital letter o acute","short":"cap o acute"},"mathspeak":{"default":"modifying above upper O with acute","brief":"mod above upper O with acute","sbrief":"mod above upper O with acute"}}},{"category":"Lu","key":"00D4","mappings":{"default":{"default":"latin capital letter o with circumflex","alternative":"latin capital letter o hat","short":"cap o hat"},"mathspeak":{"default":"modifying above upper O with caret","brief":"mod above upper O with caret","sbrief":"mod above upper O with caret"}}},{"category":"Lu","key":"00D5","mappings":{"default":{"default":"latin capital letter o with tilde","alternative":"latin capital letter o tilde","short":"cap o tilde"},"mathspeak":{"default":"upper O overtilde","brief":"upper O overtilde","sbrief":"upper O overtilde"}}},{"category":"Lu","key":"00D6","mappings":{"default":{"default":"latin capital letter o with diaeresis","alternative":"latin capital letter o double overdot","short":"cap o double overdot"},"mathspeak":{"default":"modifying above upper O with double dot","brief":"mod above upper O with double dot","sbrief":"mod above upper O with double dot"}}},{"category":"Lu","key":"00D9","mappings":{"default":{"default":"latin capital letter u with grave","alternative":"latin capital letter u grave","short":"cap u grave"},"mathspeak":{"default":"modifying above upper U with grave","brief":"mod above upper U with grave","sbrief":"mod above upper U with grave"}}},{"category":"Lu","key":"00DA","mappings":{"default":{"default":"latin capital letter u with acute","alternative":"latin capital letter u acute","short":"cap u acute"},"mathspeak":{"default":"modifying above upper U with acute","brief":"mod above upper U with acute","sbrief":"mod above upper U with acute"}}},{"category":"Lu","key":"00DB","mappings":{"default":{"default":"latin capital letter u with circumflex","alternative":"latin capital letter u hat","short":"cap u hat"},"mathspeak":{"default":"modifying above upper U with caret","brief":"mod above upper U with caret","sbrief":"mod above upper U with caret"}}},{"category":"Lu","key":"00DC","mappings":{"default":{"default":"latin capital letter u with diaeresis","alternative":"latin capital letter u double overdot","short":"cap u double overdot"},"mathspeak":{"default":"modifying above upper U with double dot","brief":"mod above upper U with double dot","sbrief":"mod above upper U with double dot"}}},{"category":"Lu","key":"00DD","mappings":{"default":{"default":"latin capital letter y with acute","alternative":"latin capital letter y acute","short":"cap y acute"},"mathspeak":{"default":"modifying above upper Y with acute","brief":"mod above upper Y with acute","sbrief":"mod above upper Y with acute"}}},{"category":"Lu","key":"0100","mappings":{"default":{"default":"latin capital letter a macron","alternative":"latin capital letter a overbar","short":"cap a overbar"},"mathspeak":{"default":"upper A overbar","brief":"upper A overbar","sbrief":"upper A overbar"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"latin capital letter a with breve","alternative":"latin capital letter a breve","short":"cap a breve"},"mathspeak":{"default":"modifying above upper A with breve","brief":"mod above upper A with breve","sbrief":"mod above upper A with breve"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"latin capital letter a with ogonek","alternative":"latin capital letter a ogonek","short":"cap a ogonek"},"mathspeak":{"default":"modifying above upper A with ogonek","brief":"mod above upper A with ogonek","sbrief":"mod above upper A with ogonek"}}},{"category":"Lu","key":"0106","mappings":{"default":{"default":"latin capital letter c with acute","alternative":"latin capital letter c acute","short":"cap c acute"},"mathspeak":{"default":"modifying above upper C with acute","brief":"mod above upper C with acute","sbrief":"mod above upper C with acute"}}},{"category":"Lu","key":"0108","mappings":{"default":{"default":"latin capital letter c with circumflex","alternative":"latin capital letter c hat","short":"cap c hat"},"mathspeak":{"default":"modifying above upper C with caret","brief":"mod above upper C with caret","sbrief":"mod above upper C with caret"}}},{"category":"Lu","key":"010A","mappings":{"default":{"default":"latin capital letter c with dot above","alternative":"latin capital letter c overdot","short":"cap c overdot"},"mathspeak":{"default":"modifying above upper C with dot","brief":"mod above upper C with dot","sbrief":"mod above upper C with dot"}}},{"category":"Lu","key":"010C","mappings":{"default":{"default":"latin capital letter c with caron","alternative":"latin capital letter c hacek","short":"cap c caron"},"mathspeak":{"default":"modifying above upper C with caron","brief":"mod above upper C with caron","sbrief":"mod above upper C with caron"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"latin capital letter d with caron","alternative":"latin capital letter d hacek","short":"cap d caron"},"mathspeak":{"default":"modifying above upper D with caron","brief":"mod above upper D with caron","sbrief":"mod above upper D with caron"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"latin capital letter e with macron","alternative":"latin capital letter e overbar","short":"cap e overbar"},"mathspeak":{"default":"upper E overbar","brief":"upper E overbar","sbrief":"upper E overbar"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"latin capital letter e with breve","alternative":"latin capital letter e breve","short":"cap e breve"},"mathspeak":{"default":"modifying above upper E with breve","brief":"mod above upper E with breve","sbrief":"mod above upper E with breve"}}},{"category":"Lu","key":"0116","mappings":{"default":{"default":"latin capital letter e with dot above","alternative":"latin capital letter e overdot","short":"cap e overdot"},"mathspeak":{"default":"modifying above upper E with dot","brief":"mod above upper E with dot","sbrief":"mod above upper E with dot"}}},{"category":"Lu","key":"0118","mappings":{"default":{"default":"latin capital letter e with ogonek","alternative":"latin capital letter e ogonek","short":"cap e ogonek"},"mathspeak":{"default":"modifying above upper E with ogonek","brief":"mod above upper E with ogonek","sbrief":"mod above upper E with ogonek"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"latin capital letter e with caron","alternative":"latin capital letter e hacek","short":"cap e caron"},"mathspeak":{"default":"modifying above upper E with caron","brief":"mod above upper E with caron","sbrief":"mod above upper E with caron"}}},{"category":"Lu","key":"011C","mappings":{"default":{"default":"latin capital letter g with circumflex","alternative":"latin capital letter g hat","short":"cap g hat"},"mathspeak":{"default":"modifying above upper G with caret","brief":"mod above upper G with caret","sbrief":"mod above upper G with caret"}}},{"category":"Lu","key":"011E","mappings":{"default":{"default":"latin capital letter g with breve","alternative":"latin capital letter g breve","short":"cap g breve"},"mathspeak":{"default":"modifying above upper G with breve","brief":"mod above upper G with breve","sbrief":"mod above upper G with breve"}}},{"category":"Lu","key":"0120","mappings":{"default":{"default":"latin capital letter g with dot above","alternative":"latin capital letter g overdot","short":"cap g overdot"},"mathspeak":{"default":"modifying above upper G with dot","brief":"mod above upper G with dot","sbrief":"mod above upper G with dot"}}},{"category":"Lu","key":"0122","mappings":{"default":{"default":"latin capital letter g with cedilla","alternative":"latin capital letter g cedilla","short":"cap g cedilla"},"mathspeak":{"default":"modifying above upper G with cedilla","brief":"mod above upper G with cedilla","sbrief":"mod above upper G with cedilla"}}},{"category":"Lu","key":"0124","mappings":{"default":{"default":"latin capital letter h with circumflex","alternative":"latin capital letter h hat","short":"cap h hat"},"mathspeak":{"default":"modifying above upper H with caret","brief":"mod above upper H with caret","sbrief":"mod above upper H with caret"}}},{"category":"Lu","key":"0128","mappings":{"default":{"default":"latin capital letter i with tilde","alternative":"latin capital letter i tilde","short":"cap i tilde"},"mathspeak":{"default":"upper I overtilde","brief":"upper I overtilde","sbrief":"upper I overtilde"}}},{"category":"Lu","key":"012A","mappings":{"default":{"default":"latin capital letter i with macron","alternative":"latin capital letter i overbar","short":"cap i overbar"},"mathspeak":{"default":"upper I overbar","brief":"upper I overbar","sbrief":"upper I overbar"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"latin capital letter i with breve","alternative":"latin capital letter i breve","short":"cap i breve"},"mathspeak":{"default":"modifying above upper I with breve","brief":"mod above upper I with breve","sbrief":"mod above upper I with breve"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"latin capital letter i with ogonek","alternative":"latin capital letter i ogonek","short":"cap i ogonek"},"mathspeak":{"default":"modifying above upper I with ogonek","brief":"mod above upper I with ogonek","sbrief":"mod above upper I with ogonek"}}},{"category":"Lu","key":"0130","mappings":{"default":{"default":"latin capital letter i with dot above","alternative":"latin capital letter i overdot","short":"cap i overdot"},"mathspeak":{"default":"modifying above upper I with dot","brief":"mod above upper I with dot","sbrief":"mod above upper I with dot"}}},{"category":"Lu","key":"0134","mappings":{"default":{"default":"latin capital letter j circumflex","alternative":"latin capital letter j hat","short":"cap j hat"},"mathspeak":{"default":"modifying above upper J with caret","brief":"mod above upper J with caret","sbrief":"mod above upper J with caret"}}},{"category":"Lu","key":"0136","mappings":{"default":{"default":"latin capital letter k with cedilla","alternative":"latin capital letter k cedilla","short":"cap k cedilla"},"mathspeak":{"default":"modifying above upper K with cedilla","brief":"mod above upper K with cedilla","sbrief":"mod above upper K with cedilla"}}},{"category":"Lu","key":"0139","mappings":{"default":{"default":"latin capital letter l with acute","alternative":"latin capital letter l acute","short":"cap l acute"},"mathspeak":{"default":"modifying above upper L with acute","brief":"mod above upper L with acute","sbrief":"mod above upper L with acute"}}},{"category":"Lu","key":"013B","mappings":{"default":{"default":"latin capital letter l with cedilla","alternative":"latin capital letter l cedilla","short":"cap l cedilla"},"mathspeak":{"default":"modifying above upper L with cedilla","brief":"mod above upper L with cedilla","sbrief":"mod above upper L with cedilla"}}},{"category":"Lu","key":"013D","mappings":{"default":{"default":"latin capital letter l with caron","alternative":"latin capital letter l hacek","short":"cap l caron"},"mathspeak":{"default":"modifying above upper L with caron","brief":"mod above upper L with caron","sbrief":"mod above upper L with caron"}}},{"category":"Lu","key":"013F","mappings":{"default":{"default":"latin capital letter l with middle dot","alternative":"latin capital letter l middle dot","short":"cap l middle dot"},"mathspeak":{"default":"modifying above upper L with middle dot","brief":"mod above upper L with middle dot","sbrief":"mod above upper L with middle dot"}}},{"category":"Lu","key":"0143","mappings":{"default":{"default":"latin capital letter n with acute","alternative":"latin capital letter n acute","short":"cap n acute"},"mathspeak":{"default":"modifying above upper N with acute","brief":"mod above upper N with acute","sbrief":"mod above upper N with acute"}}},{"category":"Lu","key":"0145","mappings":{"default":{"default":"latin capital letter n with cedilla","alternative":"latin capital letter n cedilla","short":"cap n cedilla"},"mathspeak":{"default":"modifying above upper N with cedilla","brief":"mod above upper N with cedilla","sbrief":"mod above upper N with cedilla"}}},{"category":"Lu","key":"0147","mappings":{"default":{"default":"latin capital letter n with caron","alternative":"latin capital letter n hacek","short":"cap n caron"},"mathspeak":{"default":"modifying above upper N with caron","brief":"mod above upper N with caron","sbrief":"mod above upper N with caron"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"latin capital letter o macron","alternative":"latin capital letter o overbar","short":"cap o overbar"},"mathspeak":{"default":"upper O overbar","brief":"upper O overbar","sbrief":"upper O overbar"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"latin capital letter o with breve","alternative":"latin capital letter o breve","short":"cap o breve"},"mathspeak":{"default":"modifying above upper O with breve","brief":"mod above upper O with breve","sbrief":"mod above upper O with breve"}}},{"category":"Lu","key":"0150","mappings":{"default":{"default":"latin capital letter o with double acute","alternative":"latin capital letter o double acute","short":"cap o double acute"},"mathspeak":{"default":"modifying above upper O with double acute","brief":"mod above upper O with double acute","sbrief":"mod above upper O with double acute"}}},{"category":"Lu","key":"0154","mappings":{"default":{"default":"latin capital letter r acute","alternative":"latin capital letter r acute","short":"cap r acute"},"mathspeak":{"default":"modifying above upper R with acute","brief":"mod above upper R with acute","sbrief":"mod above upper R with acute"}}},{"category":"Lu","key":"0156","mappings":{"default":{"default":"latin capital letter r with cedilla","alternative":"latin capital letter r cedilla","short":"cap r cedilla"},"mathspeak":{"default":"modifying above upper R with cedilla","brief":"mod above upper R with cedilla","sbrief":"mod above upper R with cedilla"}}},{"category":"Lu","key":"0158","mappings":{"default":{"default":"latin capital letter r with caron","alternative":"latin capital letter r hacek","short":"cap r caron"},"mathspeak":{"default":"modifying above upper R with caron","brief":"mod above upper R with caron","sbrief":"mod above upper R with caron"}}},{"category":"Lu","key":"015A","mappings":{"default":{"default":"latin capital letter s with acute","alternative":"latin capital letter s acute","short":"cap s acute"},"mathspeak":{"default":"modifying above upper S with acute","brief":"mod above upper S with acute","sbrief":"mod above upper S with acute"}}},{"category":"Lu","key":"015C","mappings":{"default":{"default":"latin capital letter s with circumflex","alternative":"latin capital letter s hat","short":"cap s hat"},"mathspeak":{"default":"modifying above upper S with caret","brief":"mod above upper S with caret","sbrief":"mod above upper S with caret"}}},{"category":"Lu","key":"015E","mappings":{"default":{"default":"latin capital letter s with cedilla","alternative":"latin capital letter s cedilla","short":"cap s cedilla"},"mathspeak":{"default":"modifying above upper S with cedilla","brief":"mod above upper S with cedilla","sbrief":"mod above upper S with cedilla"}}},{"category":"Lu","key":"0160","mappings":{"default":{"default":"latin capital letter s with caron","alternative":"latin capital letter s hacek","short":"cap s caron"},"mathspeak":{"default":"modifying above upper S with caron","brief":"mod above upper S with caron","sbrief":"mod above upper S with caron"}}},{"category":"Lu","key":"0162","mappings":{"default":{"default":"latin capital letter t with cedilla","alternative":"latin capital letter t cedilla","short":"cap t cedilla"},"mathspeak":{"default":"modifying above upper T with cedilla","brief":"mod above upper T with cedilla","sbrief":"mod above upper T with cedilla"}}},{"category":"Lu","key":"0164","mappings":{"default":{"default":"latin capital letter t with caron","alternative":"latin capital letter t hacek","short":"cap t caron"},"mathspeak":{"default":"modifying above upper T with caron","brief":"mod above upper T with caron","sbrief":"mod above upper T with caron"}}},{"category":"Lu","key":"0168","mappings":{"default":{"default":"latin capital letter u with tilde","alternative":"latin capital letter u tilde","short":"cap u tilde"},"mathspeak":{"default":"upper U overtilde","brief":"upper U overtilde","sbrief":"upper U overtilde"}}},{"category":"Lu","key":"016A","mappings":{"default":{"default":"latin capital letter u with macron","alternative":"latin capital letter u overbar","short":"cap u overbar"},"mathspeak":{"default":"upper U overbar","brief":"upper U overbar","sbrief":"upper U overbar"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"latin capital letter u with breve","alternative":"latin capital letter u breve","short":"cap u breve"},"mathspeak":{"default":"modifying above upper U with breve","brief":"mod above upper U with breve","sbrief":"mod above upper U with breve"}}},{"category":"Lu","key":"016E","mappings":{"default":{"default":"latin capital letter u with ring above","alternative":"latin capital letter u ring","short":"cap u ring"},"mathspeak":{"default":"modifying above upper U with ring","brief":"mod above upper U with ring","sbrief":"mod above upper U with ring"}}},{"category":"Lu","key":"0170","mappings":{"default":{"default":"latin capital letter u with double acute","alternative":"latin capital letter u double acute","short":"cap u double acute"},"mathspeak":{"default":"modifying above upper U with double acute","brief":"mod above upper U with double acute","sbrief":"mod above upper U with double acute"}}},{"category":"Lu","key":"0172","mappings":{"default":{"default":"latin capital letter u with ogonek","alternative":"latin capital letter u ogonek","short":"cap u ogonek"},"mathspeak":{"default":"modifying above upper U with ogonek","brief":"mod above upper U with ogonek","sbrief":"mod above upper U with ogonek"}}},{"category":"Lu","key":"0174","mappings":{"default":{"default":"latin capital letter w with circumflex","alternative":"latin capital letter w hat","short":"cap w hat"},"mathspeak":{"default":"modifying above upper W with caret","brief":"mod above upper W with caret","sbrief":"mod above upper W with caret"}}},{"category":"Lu","key":"0176","mappings":{"default":{"default":"latin capital letter y with circumflex","alternative":"latin capital letter y hat","short":"cap y hat"},"mathspeak":{"default":"modifying above upper Y with caret","brief":"mod above upper Y with caret","sbrief":"mod above upper Y with caret"}}},{"category":"Lu","key":"0178","mappings":{"default":{"default":"latin capital letter y with diaeresis","alternative":"latin capital letter y double overdot","short":"cap y double overdot"},"mathspeak":{"default":"modifying above upper Y with double dot","brief":"mod above upper Y with double dot","sbrief":"mod above upper Y with double dot"}}},{"category":"Lu","key":"0179","mappings":{"default":{"default":"latin capital letter z with acute","alternative":"latin capital letter z acute","short":"cap z acute"},"mathspeak":{"default":"modifying above upper Z with acute","brief":"mod above upper Z with acute","sbrief":"mod above upper Z with acute"}}},{"category":"Lu","key":"017B","mappings":{"default":{"default":"latin capital letter z with dot above","alternative":"latin capital letter z overdot","short":"cap z overdot"},"mathspeak":{"default":"modifying above upper Z with dot","brief":"mod above upper Z with dot","sbrief":"mod above upper Z with dot"}}},{"category":"Lu","key":"017D","mappings":{"default":{"default":"latin capital letter z with caron","alternative":"latin capital letter z hacek","short":"cap z caron"},"mathspeak":{"default":"modifying above upper Z with caron","brief":"mod above upper Z with caron","sbrief":"mod above upper Z with caron"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"latin capital letter a with caron","alternative":"latin capital letter a hacek","short":"cap a caron"},"mathspeak":{"default":"modifying above upper A with caron","brief":"mod above upper A with caron","sbrief":"mod above upper A with caron"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"latin capital letter i with caron","alternative":"latin capital letter i hacek","short":"cap i caron"},"mathspeak":{"default":"modifying above upper I with caron","brief":"mod above upper I with caron","sbrief":"mod above upper I with caron"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"latin capital letter o with caron","alternative":"latin capital letter o hacek","short":"cap o caron"},"mathspeak":{"default":"modifying above upper O with caron","brief":"mod above upper O with caron","sbrief":"mod above upper O with caron"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"latin capital letter u with caron","alternative":"latin capital letter u hacek","short":"cap u caron"},"mathspeak":{"default":"modifying above upper U with caron","brief":"mod above upper U with caron","sbrief":"mod above upper U with caron"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"latin capital letter g with caron","alternative":"latin capital letter g hacek","short":"cap g caron"},"mathspeak":{"default":"modifying above upper G with caron","brief":"mod above upper G with caron","sbrief":"mod above upper G with caron"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"latin capital letter k with caron","alternative":"latin capital letter k hacek","short":"cap k caron"},"mathspeak":{"default":"modifying above upper K with caron","brief":"mod above upper K with caron","sbrief":"mod above upper K with caron"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"latin capital letter o with ogonek","alternative":"latin capital letter o ogonek","short":"cap o ogonek"},"mathspeak":{"default":"modifying above upper O with ogonek","brief":"mod above upper O with ogonek","sbrief":"mod above upper O with ogonek"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"latin capital letter g with acute","alternative":"latin capital letter g acute","short":"cap g acute"},"mathspeak":{"default":"modifying above upper G with acute","brief":"mod above upper G with acute","sbrief":"mod above upper G with acute"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"latin capital letter n with grave","alternative":"latin capital letter n grave","short":"cap n grave"},"mathspeak":{"default":"modifying above upper N with grave","brief":"mod above upper N with grave","sbrief":"mod above upper N with grave"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"latin capital letter a with double grave","alternative":"latin capital letter a double grave","short":"cap a double grave"},"mathspeak":{"default":"modifying above upper A with double grave","brief":"mod above upper A with double grave","sbrief":"mod above upper A with double grave"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"latin capital letter a with inverted breve","alternative":"latin capital letter a inverted breve","short":"cap a inverted breve"},"mathspeak":{"default":"modifying above upper A with inverted breve","brief":"mod above upper A with inverted breve","sbrief":"mod above upper A with inverted breve"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"latin capital letter e with double grave","alternative":"latin capital letter e double grave","short":"cap e double grave"},"mathspeak":{"default":"modifying above upper E with double grave","brief":"mod above upper E with double grave","sbrief":"mod above upper E with double grave"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"latin capital letter e with inverted breve","alternative":"latin capital letter e inverted breve","short":"cap e inverted breve"},"mathspeak":{"default":"modifying above upper E with inverted breve","brief":"mod above upper E with inverted breve","sbrief":"mod above upper E with inverted breve"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"latin capital letter i with double grave","alternative":"latin capital letter i double grave","short":"cap i double grave"},"mathspeak":{"default":"modifying above upper I with double grave","brief":"mod above upper I with double grave","sbrief":"mod above upper I with double grave"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"latin capital letter i with inverted breve","alternative":"latin capital letter i inverted breve","short":"cap i inverted breve"},"mathspeak":{"default":"modifying above upper I with inverted breve","brief":"mod above upper I with inverted breve","sbrief":"mod above upper I with inverted breve"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"latin capital letter o with double grave","alternative":"latin capital letter o double grave","short":"cap o double grave"},"mathspeak":{"default":"modifying above upper O with double grave","brief":"mod above upper O with double grave","sbrief":"mod above upper O with double grave"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"latin capital letter o with inverted breve","alternative":"latin capital letter o inverted breve","short":"cap o inverted breve"},"mathspeak":{"default":"modifying above upper O with inverted breve","brief":"mod above upper O with inverted breve","sbrief":"mod above upper O with inverted breve"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"latin capital letter r with double grave","alternative":"latin capital letter r double grave","short":"cap r double grave"},"mathspeak":{"default":"modifying above upper R with double grave","brief":"mod above upper R with double grave","sbrief":"mod above upper R with double grave"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"latin capital letter r with inverted breve","alternative":"latin capital letter r inverted breve","short":"cap r inverted breve"},"mathspeak":{"default":"modifying above upper R with inverted breve","brief":"mod above upper R with inverted breve","sbrief":"mod above upper R with inverted breve"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"latin capital letter u with double grave","alternative":"latin capital letter u double grave","short":"cap u double grave"},"mathspeak":{"default":"modifying above upper U with double grave","brief":"mod above upper U with double grave","sbrief":"mod above upper U with double grave"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"latin capital letter u with inverted breve","alternative":"latin capital letter u inverted breve","short":"cap u inverted breve"},"mathspeak":{"default":"modifying above upper U with inverted breve","brief":"mod above upper U with inverted breve","sbrief":"mod above upper U with inverted breve"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"latin capital letter s with comma below","alternative":"latin capital letter s comma below","short":"cap s comma below"},"mathspeak":{"default":"modifying below upper S with comma below","brief":"mod below upper S with comma below","sbrief":"mod below upper S with comma below"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"latin capital letter t with comma below","alternative":"latin capital letter t comma below","short":"cap t comma below"},"mathspeak":{"default":"modifying below upper T with comma below","brief":"mod below upper T with comma below","sbrief":"mod below upper T with comma below"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"latin capital letter h caron","short":"cap h caron"},"mathspeak":{"default":"modifying above upper H with caron","brief":"mod above upper H with caron","sbrief":"mod above upper H with caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"latin capital letter a with dot above","alternative":"latin capital letter a overdot","short":"cap a overdot"},"mathspeak":{"default":"modifying above upper A with dot","brief":"mod above upper A with dot","sbrief":"mod above upper A with dot"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"latin capital letter e with cedilla","alternative":"latin capital letter e cedilla","short":"cap e cedilla"},"mathspeak":{"default":"modifying above upper E with cedilla","brief":"mod above upper E with cedilla","sbrief":"mod above upper E with cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"latin capital letter o with dot above","alternative":"latin capital letter o overdot","short":"cap o overdot"},"mathspeak":{"default":"modifying above upper O with dot","brief":"mod above upper O with dot","sbrief":"mod above upper O with dot"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"latin capital letter y with macron","alternative":"latin capital letter y overbar","short":"cap y overbar"},"mathspeak":{"default":"upper Y overbar","brief":"upper Y overbar","sbrief":"upper Y overbar"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"latin capital letter a with ring below","alternative":"latin capital letter a ring below","short":"cap a ring below"},"mathspeak":{"default":"modifying below upper A with ring below","brief":"mod below upper A with ring below","sbrief":"mod below upper A with ring below"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"latin capital letter b with dot above","alternative":"latin capital letter b overdot","short":"cap b overdot"},"mathspeak":{"default":"modifying above upper B with dot","brief":"mod above upper B with dot","sbrief":"mod above upper B with dot"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"latin capital letter b with dot below","alternative":"latin capital letter b underdot","short":"cap b underdot"},"mathspeak":{"default":"modifying below upper B with dot","brief":"mod below upper B with dot","sbrief":"mod below upper B with dot"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"latin capital letter b with line below","alternative":"latin capital letter b underbar","short":"cap b underbar"},"mathspeak":{"default":"upper B underbar","brief":"upper B underbar","sbrief":"upper B underbar"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"latin capital letter d with dot above","alternative":"latin capital letter d overdot","short":"cap d overdot"},"mathspeak":{"default":"modifying above upper D with dot","brief":"mod above upper D with dot","sbrief":"mod above upper D with dot"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"latin capital letter d with dot below","alternative":"latin capital letter d underdot","short":"cap d underdot"},"mathspeak":{"default":"modifying below upper D with dot","brief":"mod below upper D with dot","sbrief":"mod below upper D with dot"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"latin capital letter d with line below","alternative":"latin capital letter d underbar","short":"cap d underbar"},"mathspeak":{"default":"upper D underbar","brief":"upper D underbar","sbrief":"upper D underbar"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"latin capital letter d with cedilla","alternative":"latin capital letter d cedilla","short":"cap d cedilla"},"mathspeak":{"default":"modifying above upper D with cedilla","brief":"mod above upper D with cedilla","sbrief":"mod above upper D with cedilla"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"latin capital letter d with circumflex below","alternative":"latin capital letter d underhat","short":"cap d underhat"},"mathspeak":{"default":"modifying below upper D with caret","brief":"mod below upper D with caret","sbrief":"mod below upper D with caret"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"latin capital letter e with circumflex below","alternative":"latin capital letter e underhat","short":"cap e underhat"},"mathspeak":{"default":"modifying below upper E with caret","brief":"mod below upper E with caret","sbrief":"mod below upper E with caret"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"latin capital letter e with tilde below","alternative":"latin capital letter e tilde below","short":"cap e tilde below"},"mathspeak":{"default":"upper E undertilde","brief":"upper E undertilde","sbrief":"upper E undertilde"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"latin capital letter f with dot above","alternative":"latin capital letter f overdot","short":"cap f overdot"},"mathspeak":{"default":"modifying above upper F with dot","brief":"mod above upper F with dot","sbrief":"mod above upper F with dot"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"latin capital letter g with macron","alternative":"latin capital letter g overbar","short":"cap g overbar"},"mathspeak":{"default":"upper G overbar","brief":"upper G overbar","sbrief":"upper G overbar"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"latin capital letter h with dot above","alternative":"latin capital letter h overdot","short":"cap h overdot"},"mathspeak":{"default":"modifying above upper H with dot","brief":"mod above upper H with dot","sbrief":"mod above upper H with dot"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"latin capital letter h with dot below","alternative":"latin capital letter h underdot","short":"cap h underdot"},"mathspeak":{"default":"modifying below upper H with dot","brief":"mod below upper H with dot","sbrief":"mod below upper H with dot"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"latin capital letter h with diaeresis","alternative":"latin capital letter h double overdot","short":"cap h double overdot"},"mathspeak":{"default":"modifying above upper H with double dot","brief":"mod above upper H with double dot","sbrief":"mod above upper H with double dot"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"latin capital letter h with cedilla","alternative":"latin capital letter h cedilla","short":"cap h cedilla"},"mathspeak":{"default":"modifying above upper H with cedilla","brief":"mod above upper H with cedilla","sbrief":"mod above upper H with cedilla"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"latin capital letter h with breve below","alternative":"latin capital letter h breve below","short":"cap h breve below"},"mathspeak":{"default":"modifying below upper H with breve below","brief":"mod below upper H with breve below","sbrief":"mod below upper H with breve below"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"latin capital letter i with tilde below","alternative":"latin capital letter i tilde below","short":"cap i tilde below"},"mathspeak":{"default":"upper I undertilde","brief":"upper I undertilde","sbrief":"upper I undertilde"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"latin capital letter k with acute","alternative":"latin capital letter k acute","short":"cap k acute"},"mathspeak":{"default":"modifying above upper K with acute","brief":"mod above upper K with acute","sbrief":"mod above upper K with acute"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"latin capital letter k with dot below","alternative":"latin capital letter k underdot","short":"cap k underdot"},"mathspeak":{"default":"modifying below upper K with dot","brief":"mod below upper K with dot","sbrief":"mod below upper K with dot"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"latin capital letter k with line below","alternative":"latin capital letter k underbar","short":"cap k underbar"},"mathspeak":{"default":"upper K underbar","brief":"upper K underbar","sbrief":"upper K underbar"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"latin capital letter l with dot below","alternative":"latin capital letter l underdot","short":"cap l underdot"},"mathspeak":{"default":"modifying below upper L with dot","brief":"mod below upper L with dot","sbrief":"mod below upper L with dot"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"latin capital letter l with line below","alternative":"latin capital letter l underbar","short":"cap l underbar"},"mathspeak":{"default":"upper L underbar","brief":"upper L underbar","sbrief":"upper L underbar"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"latin capital letter l with circumflex below","alternative":"latin capital letter l underhat","short":"cap l underhat"},"mathspeak":{"default":"modifying below upper L with caret","brief":"mod below upper L with caret","sbrief":"mod below upper L with caret"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"latin capital letter m with acute","alternative":"latin capital letter m acute","short":"cap m acute"},"mathspeak":{"default":"modifying above upper M with acute","brief":"mod above upper M with acute","sbrief":"mod above upper M with acute"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"latin capital letter m with dot above","alternative":"latin capital letter m overdot","short":"cap m overdot"},"mathspeak":{"default":"modifying above upper M with dot","brief":"mod above upper M with dot","sbrief":"mod above upper M with dot"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"latin capital letter m with dot below","alternative":"latin capital letter m underdot","short":"cap m underdot"},"mathspeak":{"default":"modifying below upper M with dot","brief":"mod below upper M with dot","sbrief":"mod below upper M with dot"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"latin capital letter n with dot above","alternative":"latin capital letter n overdot","short":"cap n overdot"},"mathspeak":{"default":"modifying above upper N with dot","brief":"mod above upper N with dot","sbrief":"mod above upper N with dot"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"latin capital letter n with dot below","alternative":"latin capital letter n underdot","short":"cap n underdot"},"mathspeak":{"default":"modifying below upper N with dot","brief":"mod below upper N with dot","sbrief":"mod below upper N with dot"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"latin capital letter n with line below","alternative":"latin capital letter n underbar","short":"cap n underbar"},"mathspeak":{"default":"upper N underbar","brief":"upper N underbar","sbrief":"upper N underbar"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"latin capital letter n with circumflex below","alternative":"latin capital letter n underhat","short":"cap n underhat"},"mathspeak":{"default":"modifying below upper N with caret","brief":"mod below upper N with caret","sbrief":"mod below upper N with caret"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"latin capital letter p with acute","alternative":"latin capital letter p acute","short":"cap p acute"},"mathspeak":{"default":"modifying above upper P with acute","brief":"mod above upper P with acute","sbrief":"mod above upper P with acute"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"latin capital letter p with dot above","alternative":"latin capital letter p overdot","short":"cap p overdot"},"mathspeak":{"default":"modifying above upper P with dot","brief":"mod above upper P with dot","sbrief":"mod above upper P with dot"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"latin capital letter r with dot above","alternative":"latin capital letter r overdot","short":"cap r overdot"},"mathspeak":{"default":"modifying above upper R with dot","brief":"mod above upper R with dot","sbrief":"mod above upper R with dot"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"latin capital letter r with dot below","alternative":"latin capital letter r underdot","short":"cap r underdot"},"mathspeak":{"default":"modifying below upper R with dot","brief":"mod below upper R with dot","sbrief":"mod below upper R with dot"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"latin capital letter r with line below","alternative":"latin capital letter r underbar","short":"cap r underbar"},"mathspeak":{"default":"upper R underbar","brief":"upper R underbar","sbrief":"upper R underbar"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"latin capital letter s with dot above","alternative":"latin capital letter s overdot","short":"cap s overdot"},"mathspeak":{"default":"modifying above upper S with dot","brief":"mod above upper S with dot","sbrief":"mod above upper S with dot"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"latin capital letter s with dot below","alternative":"latin capital letter s underdot","short":"cap s underdot"},"mathspeak":{"default":"modifying below upper S with dot","brief":"mod below upper S with dot","sbrief":"mod below upper S with dot"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"latin capital letter t with dot above","alternative":"latin capital letter t overdot","short":"cap t overdot"},"mathspeak":{"default":"modifying above upper T with dot","brief":"mod above upper T with dot","sbrief":"mod above upper T with dot"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"latin capital letter t with dot below","alternative":"latin capital letter t underdot","short":"cap t underdot"},"mathspeak":{"default":"modifying below upper T with dot","brief":"mod below upper T with dot","sbrief":"mod below upper T with dot"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"latin capital letter t with line below","alternative":"latin capital letter t underbar","short":"cap t underbar"},"mathspeak":{"default":"upper T underbar","brief":"upper T underbar","sbrief":"upper T underbar"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"latin capital letter t with circumflex below","alternative":"latin capital letter t underhat","short":"cap t underhat"},"mathspeak":{"default":"modifying below upper T with caret","brief":"mod below upper T with caret","sbrief":"mod below upper T with caret"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"latin capital letter u with diaeresis below","alternative":"latin capital letter u double underdot","short":"cap u double underdot"},"mathspeak":{"default":"modifying below upper U with double dot","brief":"mod below upper U with double dot","sbrief":"mod below upper U with double dot"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"latin capital letter u with tilde below","alternative":"latin capital letter u tilde below","short":"cap u tilde below"},"mathspeak":{"default":"upper U undertilde","brief":"upper U undertilde","sbrief":"upper U undertilde"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"latin capital letter u with circumflex below","alternative":"latin capital letter u underhat","short":"cap u underhat"},"mathspeak":{"default":"modifying below upper U with caret","brief":"mod below upper U with caret","sbrief":"mod below upper U with caret"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"latin capital letter v with tilde","alternative":"latin capital letter v tilde","short":"cap v tilde"},"mathspeak":{"default":"upper V overtilde","brief":"upper V overtilde","sbrief":"upper V overtilde"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"latin capital letter v with dot below","alternative":"latin capital letter v underdot","short":"cap v underdot"},"mathspeak":{"default":"modifying below upper V with dot","brief":"mod below upper V with dot","sbrief":"mod below upper V with dot"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"latin capital letter w with grave","alternative":"latin capital letter w grave","short":"cap w grave"},"mathspeak":{"default":"modifying above upper W with grave","brief":"mod above upper W with grave","sbrief":"mod above upper W with grave"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"latin capital letter w with acute","alternative":"latin capital letter w acute","short":"cap w acute"},"mathspeak":{"default":"modifying above upper W with acute","brief":"mod above upper W with acute","sbrief":"mod above upper W with acute"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"latin capital letter w with diaeresis","alternative":"latin capital letter w double overdot","short":"cap w double overdot"},"mathspeak":{"default":"modifying above upper W with double dot","brief":"mod above upper W with double dot","sbrief":"mod above upper W with double dot"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"latin capital letter w with dot above","alternative":"latin capital letter w overdot","short":"cap w overdot"},"mathspeak":{"default":"modifying above upper W with dot","brief":"mod above upper W with dot","sbrief":"mod above upper W with dot"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"latin capital letter w with dot below","alternative":"latin capital letter w underdot","short":"cap w underdot"},"mathspeak":{"default":"modifying below upper W with dot","brief":"mod below upper W with dot","sbrief":"mod below upper W with dot"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"latin capital letter x with dot above","alternative":"latin capital letter x overdot","short":"cap x overdot"},"mathspeak":{"default":"modifying above upper X with dot","brief":"mod above upper X with dot","sbrief":"mod above upper X with dot"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"latin capital letter x with diaeresis","alternative":"latin capital letter x double overdot","short":"cap x double overdot"},"mathspeak":{"default":"modifying above upper X with double dot","brief":"mod above upper X with double dot","sbrief":"mod above upper X with double dot"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"latin capital letter y with dot above","alternative":"latin capital letter y overdot","short":"cap y overdot"},"mathspeak":{"default":"modifying above upper Y with dot","brief":"mod above upper Y with dot","sbrief":"mod above upper Y with dot"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"latin capital letter z with circumflex","alternative":"latin capital letter z circumflex","short":"cap z circumflex"},"mathspeak":{"default":"modifying above upper Z with circumflex","brief":"mod above upper Z with circumflex","sbrief":"mod above upper Z with circumflex"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"latin capital letter z with dot below","alternative":"latin capital letter z underdot","short":"cap z underdot"},"mathspeak":{"default":"modifying below upper Z with dot","brief":"mod below upper Z with dot","sbrief":"mod below upper Z with dot"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"latin capital letter z with line below","alternative":"latin capital letter z underbar","short":"cap z underbar"},"mathspeak":{"default":"upper Z underbar","brief":"upper Z underbar","sbrief":"upper Z underbar"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"latin capital letter with a dot below","alternative":"latin capital letter with a underdot","short":"cap a underdot"},"mathspeak":{"default":"modifying below upper A with dot","brief":"mod below upper A with dot","sbrief":"mod below upper A with dot"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"latin capital letter a with hook above","alternative":"latin capital letter a hook","short":"cap a hook"},"mathspeak":{"default":"modifying above upper A with hook","brief":"mod above upper A with hook","sbrief":"mod above upper A with hook"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"latin capital letter e with dot below","alternative":"latin capital letter e underdot","short":"cap e underdot"},"mathspeak":{"default":"modifying below upper E with dot","brief":"mod below upper E with dot","sbrief":"mod below upper E with dot"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"latin capital letter e with hook above","alternative":"latin capital letter e hook","short":"cap e hook"},"mathspeak":{"default":"modifying above upper E with hook","brief":"mod above upper E with hook","sbrief":"mod above upper E with hook"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"latin capital letter e with tilde","alternative":"latin capital letter e tilde","short":"cap e tilde"},"mathspeak":{"default":"upper E overtilde","brief":"upper E overtilde","sbrief":"upper E overtilde"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"latin capital letter i with hook above","alternative":"latin capital letter i hook","short":"cap i hook"},"mathspeak":{"default":"modifying above upper I with hook","brief":"mod above upper I with hook","sbrief":"mod above upper I with hook"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"latin capital letter i with dot below","alternative":"latin capital letter i underdot","short":"cap i underdot"},"mathspeak":{"default":"modifying below upper I with dot","brief":"mod below upper I with dot","sbrief":"mod below upper I with dot"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"latin capital letter o with dot below","alternative":"latin capital letter o underdot","short":"cap o underdot"},"mathspeak":{"default":"modifying below upper O with dot","brief":"mod below upper O with dot","sbrief":"mod below upper O with dot"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"latin capital letter o with hook above","alternative":"latin capital letter o hook","short":"cap o hook"},"mathspeak":{"default":"modifying above upper O with hook","brief":"mod above upper O with hook","sbrief":"mod above upper O with hook"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"latin capital letter u with dot below","alternative":"latin capital letter u underdot","short":"cap u underdot"},"mathspeak":{"default":"modifying below upper U with dot","brief":"mod below upper U with dot","sbrief":"mod below upper U with dot"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"latin capital letter u with hook above","alternative":"latin capital letter u hook","short":"cap u hook"},"mathspeak":{"default":"modifying above upper U with hook","brief":"mod above upper U with hook","sbrief":"mod above upper U with hook"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"latin capital letter y with grave","alternative":"latin capital letter y grave","short":"cap y grave"},"mathspeak":{"default":"modifying above upper Y with grave","brief":"mod above upper Y with grave","sbrief":"mod above upper Y with grave"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"latin capital letter y with dot below","alternative":"latin capital letter y underdot","short":"cap y underdot"},"mathspeak":{"default":"modifying below upper Y with dot","brief":"mod below upper Y with dot","sbrief":"mod below upper Y with dot"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"latin capital letter y with hook above","alternative":"latin capital letter y hook","short":"cap y hook"},"mathspeak":{"default":"modifying above upper Y with hook","brief":"mod above upper Y with hook","sbrief":"mod above upper Y with hook"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"latin capital letter y with tilde","alternative":"latin capital letter y tilde","short":"cap y tilde"},"mathspeak":{"default":"upper Y overtilde","brief":"upper Y overtilde","sbrief":"upper Y overtilde"}}}]
+"de/units/temperature.js": 
+[{"locale":"de"},{"key":"F","mappings":{"default":{"default":"Farad"}},"category":"temperature","names":["F","F.","°F"]},{"key":"C","mappings":{"default":{"default":"Celsius"}},"category":"temperature","names":["C","°C"]},{"key":"K","mappings":{"default":{"default":"Kelvin"}},"category":"temperature","names":["K","°K"]}]
 ,
-"en/math_angles.js": 
+"de/units/time.js": 
+[{"locale":"de"},{"category":"time","mappings":{"default":{"default":"Nanosekunde"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"Microsekunde"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"Millisekunde"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"Sekunde"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"Minute"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"Stunde"}},"key":"h","names":["h","hr"]}]
+,
+"de/units/volume.js": 
+[{"locale":"de"},{"category":"volume","mappings":{"default":{"default":"Kubik"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"Kubikinch"}},"key":"cu inch","names":["cu in","cu. in."]},{"category":"volume","mappings":{"default":{"default":"Kubikfuß"}},"key":"cu ft","names":["cu ft","cu. ft."]},{"category":"volume","mappings":{"default":{"default":"Kubikyard"}},"key":"cu yd","names":["cu yd","cu. yd."]},{"key":"bbl","mappings":{"default":{"default":"Fass"}},"category":"volume","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"Fluid ounce"}},"key":"fl. oz.","names":["fl. oz.","fl oz"]},{"key":"gal","mappings":{"default":{"plural":"Gallonen","default":"Gallone"}},"category":"volume","names":["gal","gal."]},{"key":"pt","mappings":{"default":{"default":"Pint"}},"category":"volume","names":["pt","pt."]},{"key":"qt","mappings":{"default":{"plural":"Quarts","default":"Quart"}},"category":"volume","names":["qt","qt."]},{"key":"tbsp","mappings":{"default":{"default":"Esslöffel"}},"category":"volume","names":["tbsp","tbsp.","Tbsp","Tbsp."]},{"key":"tsp","mappings":{"default":{"default":"Teelöffel"}},"category":"volume","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"Kubikzentimeter"}},"key":"cc","names":["cc","ccm"]},{"category":"volume","mappings":{"default":{"default":"Kiloliter"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"Liter"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"Milliliter"}},"key":"ml","names":["ml"]}]
+,
+"de/units/weight.js": 
+[{"locale":"de"},{"key":"lb","mappings":{"default":{"default":"Pfund"}},"category":"weight","names":["lb","lb."]},{"key":"oz","mappings":{"default":{"plural":"Unzen","default":"Unze"}},"category":"weight","names":["oz","oz."]},{"category":"weight","mappings":{"default":{"default":"Long ton"}},"key":"LT","names":["LT","L.T."]},{"key":"gr","mappings":{"default":{"default":"Gramm"}},"category":"weight","names":["g","gr"]},{"category":"weight","mappings":{"default":{"default":"Kilogramm"}},"key":"kg","names":["kg"]},{"category":"weight","mappings":{"default":{"default":"Mikrogramm"}},"key":"mcg","names":["mcg","µg"]},{"category":"weight","mappings":{"default":{"default":"Milligramm"}},"key":"mg","names":["mg"]},{"key":"t","mappings":{"default":{"plural":"Tonnen","default":"Tonne"}},"category":"weight","names":["t","T"]}]
+,
+"en/functions/algebra.js": 
+[{"locale":"en"},{"category":"Algebra","mappings":{"default":{"default":"degree"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"determinant"},"mathspeak":{"default":"det"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphism"},"mathspeak":{"default":"hom"},"clearspeak":{"default":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"kernel"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]
+,
+"en/functions/elementary.js": 
+[{"locale":"en"},{"category":"Logarithm","mappings":{"default":{"default":"log"}},"key":"log","names":["log"]},{"category":"Logarithm","mappings":{"default":{"default":"natural log"},"mathspeak":{"default":"ln"},"clearspeak":{"default":"l n","Log_LnAsNaturalLog":"natural log"}},"key":"ln","names":["ln"]},{"category":"Logarithm","mappings":{"default":{"default":"log base 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"exponential"},"mathspeak":{"default":"exp"},"clearspeak":{"default":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"greatest common divisor"},"mathspeak":{"default":"gcd"},"clearspeak":{"default":"gcd"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"least common multiple"},"mathspeak":{"default":"lcm"},"clearspeak":{"default":"lcm"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"argument"},"mathspeak":{"default":"arg"},"clearspeak":{"default":"arg"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"imaginary part"},"mathspeak":{"default":"im"},"clearspeak":{"default":"imaginary"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"real part"},"mathspeak":{"default":"re"},"clearspeak":{"default":"real"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"infimum"},"mathspeak":{"default":"inf"},"clearspeak":{"default":"inf"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"limit"},"mathspeak":{"default":"limit"},"clearspeak":{"default":"lim"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"limit inferior"},"mathspeak":{"default":"liminf"},"clearspeak":{"default":"liminf"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"limit superior"},"mathspeak":{"default":"limsup"},"clearspeak":{"default":"limsup"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"maximum"},"mathspeak":{"default":"max"},"clearspeak":{"default":"max"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"minimum"},"mathspeak":{"default":"min"},"clearspeak":{"default":"min"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"supremum"},"mathspeak":{"default":"sup"},"clearspeak":{"default":"sup"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"colimit"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projective limit"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"modulo"},"mathspeak":{"default":"mod"},"clearspeak":{"default":"mod"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"probability"}},"key":"Pr","names":["Pr"]}]
+,
+"en/functions/hyperbolic.js": 
+[{"locale":"en"},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosine"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cotangent"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosecant"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic secant"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic sine"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic tangent"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic cosine"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic cotangent"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic cosecant"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic secant"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic sine"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic tangent"}},"key":"artanh","names":["artanh","arctanh"]}]
+,
+"en/functions/trigonometry.js": 
+[{"locale":"en"},{"category":"Trigonometric","mappings":{"default":{"default":"cosine"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"cotangent"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"cosecant"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"secant"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"sine"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"tangent"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosine"},"clearspeak":{"Trig_TrigInverse":"cosine inverse"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cotangent"},"clearspeak":{"Trig_TrigInverse":"cotangent inverse"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosecant"},"clearspeak":{"Trig_TrigInverse":"cosecant inverse"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc secant"},"clearspeak":{"Trig_TrigInverse":"secant inverse"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc sine"},"clearspeak":{"Trig_TrigInverse":"sine inverse"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc tangent"},"clearspeak":{"Trig_TrigInverse":"tangent inverse"}},"key":"arctan","names":["arctan"]}]
+,
+"en/symbols/digits_rest.js": 
+[{"locale":"en"},{"category":"No","mappings":{"default":{"default":"squared"},"mathspeak":{"default":"squared"},"clearspeak":{"default":"squared"}},"key":"00B2"},{"category":"No","mappings":{"default":{"default":"cubed"},"mathspeak":{"default":"cubed"},"clearspeak":{"default":"cubed"}},"key":"00B3"},{"category":"No","mappings":{"default":{"default":"one quarter"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"one half"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"three quarters"}},"key":"00BE"},{"category":"No","mappings":{"default":{"default":"one seventh"}},"key":"2150"},{"category":"No","mappings":{"default":{"default":"one ninth"}},"key":"2151"},{"category":"No","mappings":{"default":{"default":"one tenth"}},"key":"2152"},{"category":"No","mappings":{"default":{"default":"one third"}},"key":"2153"},{"category":"No","mappings":{"default":{"default":"two thirds"}},"key":"2154"},{"category":"No","mappings":{"default":{"default":"one fifth"}},"key":"2155"},{"category":"No","mappings":{"default":{"default":"two fifths"}},"key":"2156"},{"category":"No","mappings":{"default":{"default":"three fifths"}},"key":"2157"},{"category":"No","mappings":{"default":{"default":"four fifths"}},"key":"2158"},{"category":"No","mappings":{"default":{"default":"one sixth"}},"key":"2159"},{"category":"No","mappings":{"default":{"default":"five sixths"}},"key":"215A"},{"category":"No","mappings":{"default":{"default":"one eighth"}},"key":"215B"},{"category":"No","mappings":{"default":{"default":"three eighths"}},"key":"215C"},{"category":"No","mappings":{"default":{"default":"five eighths"}},"key":"215D"},{"category":"No","mappings":{"default":{"default":"seven eighths"}},"key":"215E"},{"category":"No","mappings":{"default":{"default":"numerator one"}},"key":"215F"},{"category":"No","mappings":{"default":{"default":"zero thirds"}},"key":"2189"},{"category":"No","mappings":{"default":{"default":"circled ten on black square"}},"key":"3248"},{"category":"No","mappings":{"default":{"default":"circled twenty on black square"}},"key":"3249"},{"category":"No","mappings":{"default":{"default":"circled thirty on black square"}},"key":"324A"},{"category":"No","mappings":{"default":{"default":"circled forty on black square"}},"key":"324B"},{"category":"No","mappings":{"default":{"default":"circled fifty on black square"}},"key":"324C"},{"category":"No","mappings":{"default":{"default":"circled sixty on black square"}},"key":"324D"},{"category":"No","mappings":{"default":{"default":"circled seventy on black square"}},"key":"324E"},{"category":"No","mappings":{"default":{"default":"circled eighty on black square"}},"key":"324F"}]
+,
+"en/symbols/greek-rest.js": 
+[{"locale":"en"},{"category":"Lu","key":"0394","mappings":{"clearspeak":{"default":"triangle","TriangleSymbol_Delta":"cap Delta"}}}]
+,
+"en/symbols/greek-scripts.js": 
+[{"locale":"en"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"small cap Gamma"},"mathspeak":{"default":"small upper Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"small cap Lamda"},"mathspeak":{"default":"small upper Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"small cap Pi"},"mathspeak":{"default":"small upper Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"small cap Rho"},"mathspeak":{"default":"small upper Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"small cap Psi"},"mathspeak":{"default":"small upper Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"superscript gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"superscript phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"subscript beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"subscript gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"subscript rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"subscript phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"subscript chi"}}}]
+,
+"en/symbols/greek-symbols.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"beta"}},"key":"03D0"},{"category":"Ll","mappings":{"default":{"default":"kai"}},"key":"03D7"},{"category":"Sm","mappings":{"default":{"default":"reversed epsilon"}},"key":"03F6"},{"category":"Lu","mappings":{"default":{"default":"bold cap Digamma"},"mathspeak":{"default":"bold upper Digamma"}},"key":"1D7CA"},{"category":"Ll","mappings":{"default":{"default":"bold digamma"}},"key":"1D7CB"}]
+,
+"en/symbols/hebrew_letters.js": 
+[{"locale":"en"},{"category":"Lo","mappings":{"default":{"default":"first transfinite cardinal","alternative":"alef"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"second transfinite cardinal","alternative":"bet"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"third transfinite cardinal","alternative":"gimel"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"fourth transfinite cardinal","alternative":"dalet"}},"key":"2138"}]
+,
+"en/symbols/latin-lower-double-accent.js": 
+[{"locale":"en"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u double overdot overbar"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u double overdot acute"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u double overdot caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u double overdot grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a double overdot overbar"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a overdot overbar"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o ogonek overbar"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a ring above acute"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o double overdot overbar"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o tilde overbar"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o overdot overbar"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"c cedilla acute"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"e overbar grave"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"e overbar acute"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"e cedilla breve"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"i double overdot acute"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"l underdot overbar"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"o tilde acute"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"o tilde double overdot"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"o overbar grave"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"o overbar acute"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"r underdot overbar"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"s acute overdot"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"s caron overdot"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"s underdot overdot"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"u tilde acute"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"u overbar double overdot"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"a hat acute"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"a hat grave"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"a hat hook above"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"a hat tilde"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"a hat underdot"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"a breve acute"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"a breve grave"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"a breve hook above"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"a breve tilde"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"a breve underdot"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"e hat acute"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"e hat grave"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"e hat hook above"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"e hat tilde"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"e hat underdot"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"o hat acute"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"o hat grave"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"o hat hook above"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"o hat tilde"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"o hat underdot"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"o acute prime"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"o grave prime"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"o hook above prime"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"o tilde prime"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"o underdot prime"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"u acute prime"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"u grave prime"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"u hook above prime"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"u tilde prime"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"u underdot prime"}}}]
+,
+"en/symbols/latin-lower-phonetic.js": 
+[{"locale":"en"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"o with stroke"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"d with stroke"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"h with stroke"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"l with stroke"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"t with stroke"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b with stroke"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"lambda with stroke"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z with stroke"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"latin letter inverted glottal stop with stroke"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g with stroke"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o with stroke and acute"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c with stroke"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"e with stroke"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j with stroke"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"r with stroke"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y with stroke"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"dotless j with stroke"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i with stroke"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"dotless j with stroke and hook"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"latin letter glottal stop with stroke"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"latin letter reversed glottal stop with stroke"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"sideways o with stroke"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota with stroke"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p with stroke"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon with stroke"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"long s with diagonal stroke"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"long s with high stroke"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"turned delta"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"long s with dot above"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta"}}},{"category":"Ll","key":"0138","mappings":{"default":{"default":"kra"}}},{"category":"Ll","key":"017F","mappings":{"default":{"default":"long s"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b with topbar"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"tone six"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c with hook"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d with topbar"}}},{"category":"Ll","key":"0192","mappings":{"default":{"default":"f with hook"}}},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k with hook"}}},{"category":"Ll","key":"019A","mappings":{"default":{"default":"l with bar"}}},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n with long right leg"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o with horn"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p with hook"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"tone two"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"latin letter reversed esh loop"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t with palatal hook"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t with hook"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u with horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y with hook"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"ezh reversed"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ezh with tail"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"tone five"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"latin letter wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz with caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae with macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ezh with caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lezh"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"ezh with curl"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"dezh digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"turned e"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae with acute"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d with curl"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z with hook"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l with curl"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n with curl"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t with curl"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"db digraph"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"qp digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s with swash tail"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z with swash tail"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"glottal stop"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q with hook tail"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"turned a"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"turned alpha"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b with hook"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"open o"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c with curl"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d with tail"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d with hook"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"reversed e"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"schwa with hook"}}},{"category":"Ll","key":"025B","mappings":{"default":{"default":"open e"}}},{"category":"Ll","key":"025C","mappings":{"default":{"default":"reversed open e"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"reversed open e with hook"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"closed reversed open e"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g with hook"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"script g"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"rams horn"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"turned h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h with hook"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"heng with hook"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l with middle tilde"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l with belt"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"l with retroflex hook"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"turned m"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"turned m with long leg"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m with hook"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n with left hook"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n with retroflex hook"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"barred o"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"closed omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"turned r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"turned r with long leg"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"turned r with hook"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"r with long leg"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"r with tail"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"r with fishhook"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"reversed r with fishhook"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"s with hook"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"squat reversed esh"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"esh with curl"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"turned t"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"t with retroflex hook"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"u bar"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"v with hook"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"turned v"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"turned w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"turned y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"z with retroflex hook"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z with curl"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"latin letter pharyngeal voiced fricative"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"latin letter inverted glottal stop"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"latin letter stretched c"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"latin letter bilabial click"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"closed open e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"turned k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q with hook"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"dz digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"dz digraph with curl"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"ts digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"tesh digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"tc digraph with curl"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"feng digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"ls digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"lz digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"latin letter bilabial percussive"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"latin letter bidental percussive"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"turned h with fishhook"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"turned h with fishhook and tail"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"turned ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"turned open e"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"turned i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"sideways o"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"sideways open o"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"turned oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"top half o"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"bottom half o"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"sideways u"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"sideways diaeresized u"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"sideways turned m"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"latin letter voiced laryngeal spirant"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"latin letter ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"b with middle tilde"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"d with middle tilde"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"f with middle tilde"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"m with middle tilde"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"n with middle tilde"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"p with middle tilde"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"r with middle tilde"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"r with fishhook and middle tilde"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"s with middle tilde"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"t with middle tilde"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z with middle tilde"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"turned g"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"insular g"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th with strikethrough"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"b with palatal hook"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"d with palatal hook"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"f with palatal hook"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"g with palatal hook"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"k with palatal hook"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"l with palatal hook"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"m with palatal hook"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"n with palatal hook"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"p with palatal hook"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"r with palatal hook"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"s with palatal hook"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"esh with palatal hook"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"v with palatal hook"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"x with palatal hook"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"z with palatal hook"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a with retroflex hook"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"alpha with retroflex hook"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"d with hook and tail"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"e with retroflex hook"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"open e with retroflex hook"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"reversed open e with retroflex hook"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"schwa with retroflex hook"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"i with retroflex hook"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"open o with retroflex hook"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"esh with retroflex hook"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"u with retroflex hook"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"ezh with retroflex hook"}}},{"category":"Ll","key":"0149","mappings":{"default":{"default":"n preceded by apostrophe"}}},{"category":"Ll","key":"014B","mappings":{"default":{"default":"eng"}}}]
+,
+"en/symbols/latin-lower-single-accent.js": 
+[{"locale":"en"},{"category":"Ll","key":"00E0","mappings":{"default":{"default":"a grave"},"mathspeak":{"default":"modifying above a with grave","brief":"mod above a with grave","sbrief":"mod above a with grave"}}},{"category":"Ll","key":"00E1","mappings":{"default":{"default":"a acute"},"mathspeak":{"default":"modifying above a with acute","brief":"mod above a with acute","sbrief":"mod above a with acute"}}},{"category":"Ll","key":"00E2","mappings":{"default":{"default":"a hat"},"mathspeak":{"default":"modifying above a with caret","brief":"mod above a with caret","sbrief":"mod above a with caret"}}},{"category":"Ll","key":"00E3","mappings":{"default":{"default":"a tilde"},"mathspeak":{"default":"a overtilde","brief":"a overtilde","sbrief":"a overtilde"}}},{"category":"Ll","key":"00E4","mappings":{"default":{"default":"a double overdot"},"mathspeak":{"default":"modifying above a with double dot","brief":"mod above a with double dot","sbrief":"mod above a with double dot"}}},{"category":"Ll","key":"00E5","mappings":{"default":{"default":"a ring"},"mathspeak":{"default":"modifying above a with ring","brief":"mod above a with ring","sbrief":"mod above a with ring"}}},{"category":"Ll","key":"00E7","mappings":{"default":{"default":"c cedilla"},"mathspeak":{"default":"modifying above c with cedilla","brief":"mod above c with cedilla","sbrief":"mod above c with cedilla"}}},{"category":"Ll","key":"00E8","mappings":{"default":{"default":"e grave"},"mathspeak":{"default":"modifying above e with grave","brief":"mod above e with grave","sbrief":"mod above e with grave"}}},{"category":"Ll","key":"00E9","mappings":{"default":{"default":"e acute"},"mathspeak":{"default":"modifying above e with acute","brief":"mod above e with acute","sbrief":"mod above e with acute"}}},{"category":"Ll","key":"00EA","mappings":{"default":{"default":"e hat"},"mathspeak":{"default":"modifying above e with caret","brief":"mod above e with caret","sbrief":"mod above e with caret"}}},{"category":"Ll","key":"00EB","mappings":{"default":{"default":"e double overdot"},"mathspeak":{"default":"modifying above e with double dot","brief":"mod above e with double dot","sbrief":"mod above e with double dot"}}},{"category":"Ll","key":"00EC","mappings":{"default":{"default":"i grave"},"mathspeak":{"default":"modifying above i with grave","brief":"mod above i with grave","sbrief":"mod above i with grave"}}},{"category":"Ll","key":"00ED","mappings":{"default":{"default":"i acute"},"mathspeak":{"default":"modifying above i with acute","brief":"mod above i with acute","sbrief":"mod above i with acute"}}},{"category":"Ll","key":"00EE","mappings":{"default":{"default":"i hat"},"mathspeak":{"default":"modifying above i with caret","brief":"mod above i with caret","sbrief":"mod above i with caret"}}},{"category":"Ll","key":"00EF","mappings":{"default":{"default":"i double overdot"},"mathspeak":{"default":"modifying above i with double dot","brief":"mod above i with double dot","sbrief":"mod above i with double dot"}}},{"category":"Ll","key":"00F1","mappings":{"default":{"default":"n tilde"},"mathspeak":{"default":"n overtilde","brief":"n overtilde","sbrief":"n overtilde"}}},{"category":"Ll","key":"00F2","mappings":{"default":{"default":"o grave"},"mathspeak":{"default":"modifying above o with grave","brief":"mod above o with grave","sbrief":"mod above o with grave"}}},{"category":"Ll","key":"00F3","mappings":{"default":{"default":"o acute"},"mathspeak":{"default":"modifying above o with acute","brief":"mod above o with acute","sbrief":"mod above o with acute"}}},{"category":"Ll","key":"00F4","mappings":{"default":{"default":"o hat"},"mathspeak":{"default":"modifying above o with caret","brief":"mod above o with caret","sbrief":"mod above o with caret"}}},{"category":"Ll","key":"00F5","mappings":{"default":{"default":"o tilde"},"mathspeak":{"default":"o overtilde","brief":"o overtilde","sbrief":"o overtilde"}}},{"category":"Ll","key":"00F6","mappings":{"default":{"default":"o double overdot"},"mathspeak":{"default":"modifying above o with double dot","brief":"mod above o with double dot","sbrief":"mod above o with double dot"}}},{"category":"Ll","key":"00F9","mappings":{"default":{"default":"u grave"},"mathspeak":{"default":"modifying above u with grave","brief":"mod above u with grave","sbrief":"mod above u with grave"}}},{"category":"Ll","key":"00FA","mappings":{"default":{"default":"u acute"},"mathspeak":{"default":"modifying above u with acute","brief":"mod above u with acute","sbrief":"mod above u with acute"}}},{"category":"Ll","key":"00FB","mappings":{"default":{"default":"u hat"},"mathspeak":{"default":"modifying above u with caret","brief":"mod above u with caret","sbrief":"mod above u with caret"}}},{"category":"Ll","key":"00FC","mappings":{"default":{"default":"u double overdot"},"mathspeak":{"default":"modifying above u with double dot","brief":"mod above u with double dot","sbrief":"mod above u with double dot"}}},{"category":"Ll","key":"00FD","mappings":{"default":{"default":"y acute"},"mathspeak":{"default":"modifying above y with acute","brief":"mod above y with acute","sbrief":"mod above y with acute"}}},{"category":"Ll","key":"00FF","mappings":{"default":{"default":"y double overdot"},"mathspeak":{"default":"modifying above y with double dot","brief":"mod above y with double dot","sbrief":"mod above y with double dot"}}},{"category":"Ll","key":"0101","mappings":{"default":{"default":"a overbar"},"mathspeak":{"default":"a overbar","brief":"a overbar","sbrief":"a overbar"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"a breve"},"mathspeak":{"default":"modifying above a with breve","brief":"mod above a with breve","sbrief":"mod above a with breve"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"a ogonek"},"mathspeak":{"default":"modifying above a with ogonek","brief":"mod above a with ogonek","sbrief":"mod above a with ogonek"}}},{"category":"Ll","key":"0107","mappings":{"default":{"default":"c acute"},"mathspeak":{"default":"modifying above c with acute","brief":"mod above c with acute","sbrief":"mod above c with acute"}}},{"category":"Ll","key":"0109","mappings":{"default":{"default":"c hat"},"mathspeak":{"default":"modifying above c with caret","brief":"mod above c with caret","sbrief":"mod above c with caret"}}},{"category":"Ll","key":"010B","mappings":{"default":{"default":"c overdot"},"mathspeak":{"default":"modifying above c with dot","brief":"mod above c with dot","sbrief":"mod above c with dot"}}},{"category":"Ll","key":"010D","mappings":{"default":{"default":"c caron"},"mathspeak":{"default":"modifying above c with caron","brief":"mod above c with caron","sbrief":"mod above c with caron"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"d caron"},"mathspeak":{"default":"modifying above d with caron","brief":"mod above d with caron","sbrief":"mod above d with caron"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"e overbar"},"mathspeak":{"default":"e overbar","brief":"e overbar","sbrief":"e overbar"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e breve"},"mathspeak":{"default":"modifying above e with breve","brief":"mod above e with breve","sbrief":"mod above e with breve"}}},{"category":"Ll","key":"0117","mappings":{"default":{"default":"e overdot"},"mathspeak":{"default":"modifying above e with dot","brief":"mod above e with dot","sbrief":"mod above e with dot"}}},{"category":"Ll","key":"0119","mappings":{"default":{"default":"e ogonek"},"mathspeak":{"default":"modifying above e with ogonek","brief":"mod above e with ogonek","sbrief":"mod above e with ogonek"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"e caron"},"mathspeak":{"default":"modifying above e with caron","brief":"mod above e with caron","sbrief":"mod above e with caron"}}},{"category":"Ll","key":"011D","mappings":{"default":{"default":"g hat"},"mathspeak":{"default":"modifying above g with caret","brief":"mod above g with caret","sbrief":"mod above g with caret"}}},{"category":"Ll","key":"011F","mappings":{"default":{"default":"g breve"},"mathspeak":{"default":"modifying above g with breve","brief":"mod above g with breve","sbrief":"mod above g with breve"}}},{"category":"Ll","key":"0121","mappings":{"default":{"default":"g overdot"},"mathspeak":{"default":"modifying above g with dot","brief":"mod above g with dot","sbrief":"mod above g with dot"}}},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g cedilla"},"mathspeak":{"default":"modifying above g with cedilla","brief":"mod above g with cedilla","sbrief":"mod above g with cedilla"}}},{"category":"Ll","key":"0125","mappings":{"default":{"default":"h hat"},"mathspeak":{"default":"modifying above h with caret","brief":"mod above h with caret","sbrief":"mod above h with caret"}}},{"category":"Ll","key":"0129","mappings":{"default":{"default":"i tilde"},"mathspeak":{"default":"i overtilde","brief":"i overtilde","sbrief":"i overtilde"}}},{"category":"Ll","key":"012B","mappings":{"default":{"default":"i overbar"},"mathspeak":{"default":"i overbar","brief":"i overbar","sbrief":"i overbar"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i breve"},"mathspeak":{"default":"modifying above i with breve","brief":"mod above i with breve","sbrief":"mod above i with breve"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"i ogonek"},"mathspeak":{"default":"modifying above i with ogonek","brief":"mod above i with ogonek","sbrief":"mod above i with ogonek"}}},{"category":"Ll","key":"0131","mappings":{"default":{"default":"dotless i"},"mathspeak":{"default":"modifying above dotless i","brief":"mod above dotless i","sbrief":"mod above dotless i"}}},{"category":"Ll","key":"0135","mappings":{"default":{"default":"j hat"},"mathspeak":{"default":"modifying above j with caret","brief":"mod above j with caret","sbrief":"mod above j with caret"}}},{"category":"Ll","key":"0137","mappings":{"default":{"default":"k cedilla"},"mathspeak":{"default":"modifying above k with cedilla","brief":"mod above k with cedilla","sbrief":"mod above k with cedilla"}}},{"category":"Ll","key":"013A","mappings":{"default":{"default":"l acute"},"mathspeak":{"default":"modifying above l with acute","brief":"mod above l with acute","sbrief":"mod above l with acute"}}},{"category":"Ll","key":"013C","mappings":{"default":{"default":"l cedilla"},"mathspeak":{"default":"modifying above l with cedilla","brief":"mod above l with cedilla","sbrief":"mod above l with cedilla"}}},{"category":"Ll","key":"013E","mappings":{"default":{"default":"l caron"},"mathspeak":{"default":"modifying above l with caron","brief":"mod above l with caron","sbrief":"mod above l with caron"}}},{"category":"Ll","key":"0140","mappings":{"default":{"default":"l middle dot"},"mathspeak":{"default":"modifying above l with middle dot","brief":"mod above l with middle dot","sbrief":"mod above l with middle dot"}}},{"category":"Ll","key":"0144","mappings":{"default":{"default":"n acute"},"mathspeak":{"default":"modifying above n with acute","brief":"mod above n with acute","sbrief":"mod above n with acute"}}},{"category":"Ll","key":"0146","mappings":{"default":{"default":"n cedilla"},"mathspeak":{"default":"modifying above n with cedilla","brief":"mod above n with cedilla","sbrief":"mod above n with cedilla"}}},{"category":"Ll","key":"0148","mappings":{"default":{"default":"n caron"},"mathspeak":{"default":"modifying above n with caron","brief":"mod above n with caron","sbrief":"mod above n with caron"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"o overbar"},"mathspeak":{"default":"o overbar","brief":"o overbar","sbrief":"o overbar"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o breve"},"mathspeak":{"default":"modifying above o with breve","brief":"mod above o with breve","sbrief":"mod above o with breve"}}},{"category":"Ll","key":"0151","mappings":{"default":{"default":"o double acute"},"mathspeak":{"default":"modifying above o with double acute","brief":"mod above o with double acute","sbrief":"mod above o with double acute"}}},{"category":"Ll","key":"0155","mappings":{"default":{"default":"r acute"},"mathspeak":{"default":"modifying above r with acute","brief":"mod above r with acute","sbrief":"mod above r with acute"}}},{"category":"Ll","key":"0157","mappings":{"default":{"default":"r cedilla"},"mathspeak":{"default":"modifying above r with cedilla","brief":"mod above r with cedilla","sbrief":"mod above r with cedilla"}}},{"category":"Ll","key":"0159","mappings":{"default":{"default":"r caron"},"mathspeak":{"default":"modifying above r with caron","brief":"mod above r with caron","sbrief":"mod above r with caron"}}},{"category":"Ll","key":"015B","mappings":{"default":{"default":"s acute"},"mathspeak":{"default":"modifying above s with acute","brief":"mod above s with acute","sbrief":"mod above s with acute"}}},{"category":"Ll","key":"015D","mappings":{"default":{"default":"s hat"},"mathspeak":{"default":"modifying above s with caret","brief":"mod above s with caret","sbrief":"mod above s with caret"}}},{"category":"Ll","key":"015F","mappings":{"default":{"default":"s cedilla"},"mathspeak":{"default":"modifying above s with cedilla","brief":"mod above s with cedilla","sbrief":"mod above s with cedilla"}}},{"category":"Ll","key":"0161","mappings":{"default":{"default":"s caron"},"mathspeak":{"default":"modifying above s with caron","brief":"mod above s with caron","sbrief":"mod above s with caron"}}},{"category":"Ll","key":"0163","mappings":{"default":{"default":"t cedilla"},"mathspeak":{"default":"modifying above t with cedilla","brief":"mod above t with cedilla","sbrief":"mod above t with cedilla"}}},{"category":"Ll","key":"0165","mappings":{"default":{"default":"t caron"},"mathspeak":{"default":"modifying above t with caron","brief":"mod above t with caron","sbrief":"mod above t with caron"}}},{"category":"Ll","key":"0169","mappings":{"default":{"default":"u tilde"},"mathspeak":{"default":"u overtilde","brief":"u overtilde","sbrief":"u overtilde"}}},{"category":"Ll","key":"016B","mappings":{"default":{"default":"u overbar"},"mathspeak":{"default":"u overbar","brief":"u overbar","sbrief":"u overbar"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"u breve"},"mathspeak":{"default":"modifying above u with breve","brief":"mod above u with breve","sbrief":"mod above u with breve"}}},{"category":"Ll","key":"016F","mappings":{"default":{"default":"u ring"},"mathspeak":{"default":"modifying above u with ring","brief":"mod above u with ring","sbrief":"mod above u with ring"}}},{"category":"Ll","key":"0171","mappings":{"default":{"default":"u double acute"},"mathspeak":{"default":"modifying above u with double acute","brief":"mod above u with double acute","sbrief":"mod above u with double acute"}}},{"category":"Ll","key":"0173","mappings":{"default":{"default":"u ogonek"},"mathspeak":{"default":"modifying above u with ogonek","brief":"mod above u with ogonek","sbrief":"mod above u with ogonek"}}},{"category":"Ll","key":"0175","mappings":{"default":{"default":"w hat"},"mathspeak":{"default":"modifying above w with caret","brief":"mod above w with caret","sbrief":"mod above w with caret"}}},{"category":"Ll","key":"0177","mappings":{"default":{"default":"y hat"},"mathspeak":{"default":"modifying above y with caret","brief":"mod above y with caret","sbrief":"mod above y with caret"}}},{"category":"Ll","key":"017A","mappings":{"default":{"default":"z acute"},"mathspeak":{"default":"modifying above z with acute","brief":"mod above z with acute","sbrief":"mod above z with acute"}}},{"category":"Ll","key":"017C","mappings":{"default":{"default":"z overdot"},"mathspeak":{"default":"modifying above z with dot","brief":"mod above z with dot","sbrief":"mod above z with dot"}}},{"category":"Ll","key":"017E","mappings":{"default":{"default":"z caron"},"mathspeak":{"default":"modifying above z with caron","brief":"mod above z with caron","sbrief":"mod above z with caron"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a caron"},"mathspeak":{"default":"modifying above a with caron","brief":"mod above a with caron","sbrief":"mod above a with caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i caron"},"mathspeak":{"default":"modifying above i with caron","brief":"mod above i with caron","sbrief":"mod above i with caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o caron"},"mathspeak":{"default":"modifying above o with caron","brief":"mod above o with caron","sbrief":"mod above o with caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u caron"},"mathspeak":{"default":"modifying above u with caron","brief":"mod above u with caron","sbrief":"mod above u with caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g caron"},"mathspeak":{"default":"modifying above g with caron","brief":"mod above g with caron","sbrief":"mod above g with caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k caron"},"mathspeak":{"default":"modifying above k with caron","brief":"mod above k with caron","sbrief":"mod above k with caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o ogonek"},"mathspeak":{"default":"modifying above o with ogonek","brief":"mod above o with ogonek","sbrief":"mod above o with ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j caron"},"mathspeak":{"default":"modifying above j with caron","brief":"mod above j with caron","sbrief":"mod above j with caron"}}},{"category":"Ll","key":"01F5","mappings":{"default":{"default":"g acute"},"mathspeak":{"default":"modifying above g with acute","brief":"mod above g with acute","sbrief":"mod above g with acute"}}},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n grave"},"mathspeak":{"default":"modifying above n with grave","brief":"mod above n with grave","sbrief":"mod above n with grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a double grave"},"mathspeak":{"default":"modifying above a with double grave","brief":"mod above a with double grave","sbrief":"mod above a with double grave"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a inverted breve"},"mathspeak":{"default":"modifying above a with inverted breve","brief":"mod above a with inverted breve","sbrief":"mod above a with inverted breve"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e double grave"},"mathspeak":{"default":"modifying above e with double grave","brief":"mod above e with double grave","sbrief":"mod above e with double grave"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e inverted breve"},"mathspeak":{"default":"modifying above e with inverted breve","brief":"mod above e with inverted breve","sbrief":"mod above e with inverted breve"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i double grave"},"mathspeak":{"default":"modifying above i with double grave","brief":"mod above i with double grave","sbrief":"mod above i with double grave"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i inverted breve"},"mathspeak":{"default":"modifying above i with inverted breve","brief":"mod above i with inverted breve","sbrief":"mod above i with inverted breve"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o double grave"},"mathspeak":{"default":"modifying above o with double grave","brief":"mod above o with double grave","sbrief":"mod above o with double grave"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o inverted breve"},"mathspeak":{"default":"modifying above o with inverted breve","brief":"mod above o with inverted breve","sbrief":"mod above o with inverted breve"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r double grave"},"mathspeak":{"default":"modifying above r with double grave","brief":"mod above r with double grave","sbrief":"mod above r with double grave"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r inverted breve"},"mathspeak":{"default":"modifying above r with inverted breve","brief":"mod above r with inverted breve","sbrief":"mod above r with inverted breve"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u double grave"},"mathspeak":{"default":"modifying above u with double grave","brief":"mod above u with double grave","sbrief":"mod above u with double grave"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u inverted breve"},"mathspeak":{"default":"modifying above u with inverted breve","brief":"mod above u with inverted breve","sbrief":"mod above u with inverted breve"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s comma below"},"mathspeak":{"default":"modifying below s with comma below","brief":"mod below s with comma below","sbrief":"mod below s with comma below"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t comma below"},"mathspeak":{"default":"modifying below t with comma below","brief":"mod below t with comma below","sbrief":"mod below t with comma below"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h caron"},"mathspeak":{"default":"modifying above h with caron","brief":"mod above h with caron","sbrief":"mod above h with caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"a overdot"},"mathspeak":{"default":"modifying above a with dot","brief":"mod above a with dot","sbrief":"mod above a with dot"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e cedilla"},"mathspeak":{"default":"modifying above e with cedilla","brief":"mod above e with cedilla","sbrief":"mod above e with cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o overdot"},"mathspeak":{"default":"modifying above o with dot","brief":"mod above o with dot","sbrief":"mod above o with dot"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y overbar"},"mathspeak":{"default":"y overbar","brief":"y overbar","sbrief":"y overbar"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"dotless j"},"mathspeak":{"default":"modifying above dotless j","brief":"mod above dotless j","sbrief":"mod above dotless j"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"a ring below"},"mathspeak":{"default":"modifying below a with ring below","brief":"mod below a with ring below","sbrief":"mod below a with ring below"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"b overdot"},"mathspeak":{"default":"modifying above b with dot","brief":"mod above b with dot","sbrief":"mod above b with dot"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"b underdot"},"mathspeak":{"default":"modifying below b with dot","brief":"mod below b with dot","sbrief":"mod below b with dot"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"b underbar"},"mathspeak":{"default":"b underbar","brief":"b underbar","sbrief":"b underbar"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"d overdot"},"mathspeak":{"default":"modifying above d with dot","brief":"mod above d with dot","sbrief":"mod above d with dot"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"d underdot"},"mathspeak":{"default":"modifying below d with dot","brief":"mod below d with dot","sbrief":"mod below d with dot"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"d underbar"},"mathspeak":{"default":"d underbar","brief":"d underbar","sbrief":"d underbar"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"d cedilla"},"mathspeak":{"default":"modifying above d with cedilla","brief":"mod above d with cedilla","sbrief":"mod above d with cedilla"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"d underhat"},"mathspeak":{"default":"modifying below d with caret","brief":"mod below d with caret","sbrief":"mod below d with caret"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"e underhat"},"mathspeak":{"default":"modifying below e with caret","brief":"mod below e with caret","sbrief":"mod below e with caret"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"e tilde below"},"mathspeak":{"default":"e undertilde","brief":"e undertilde","sbrief":"e undertilde"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"f overdot"},"mathspeak":{"default":"modifying above f with dot","brief":"mod above f with dot","sbrief":"mod above f with dot"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"g overbar"},"mathspeak":{"default":"g overbar","brief":"g overbar","sbrief":"g overbar"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"h overdot"},"mathspeak":{"default":"modifying above h with dot","brief":"mod above h with dot","sbrief":"mod above h with dot"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"h underdot"},"mathspeak":{"default":"modifying below h with dot","brief":"mod below h with dot","sbrief":"mod below h with dot"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"h double overdot"},"mathspeak":{"default":"modifying above h with double dot","brief":"mod above h with double dot","sbrief":"mod above h with double dot"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"h cedilla"},"mathspeak":{"default":"modifying above h with cedilla","brief":"mod above h with cedilla","sbrief":"mod above h with cedilla"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"h breve below"},"mathspeak":{"default":"modifying below h with breve below","brief":"mod below h with breve below","sbrief":"mod below h with breve below"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"i tilde below"},"mathspeak":{"default":"i undertilde","brief":"i undertilde","sbrief":"i undertilde"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"k acute"},"mathspeak":{"default":"modifying above k with acute","brief":"mod above k with acute","sbrief":"mod above k with acute"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"k underdot"},"mathspeak":{"default":"modifying below k with dot","brief":"mod below k with dot","sbrief":"mod below k with dot"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"k underbar"},"mathspeak":{"default":"k underbar","brief":"k underbar","sbrief":"k underbar"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"l underdot"},"mathspeak":{"default":"modifying below l with dot","brief":"mod below l with dot","sbrief":"mod below l with dot"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"l underbar"},"mathspeak":{"default":"l underbar","brief":"l underbar","sbrief":"l underbar"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"l underhat"},"mathspeak":{"default":"modifying below l with caret","brief":"mod below l with caret","sbrief":"mod below l with caret"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"m acute"},"mathspeak":{"default":"modifying above m with acute","brief":"mod above m with acute","sbrief":"mod above m with acute"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"m overdot"},"mathspeak":{"default":"modifying above m with dot","brief":"mod above m with dot","sbrief":"mod above m with dot"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"m underdot"},"mathspeak":{"default":"modifying below m with dot","brief":"mod below m with dot","sbrief":"mod below m with dot"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"n overdot"},"mathspeak":{"default":"modifying above n with dot","brief":"mod above n with dot","sbrief":"mod above n with dot"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"n underdot"},"mathspeak":{"default":"modifying below n with dot","brief":"mod below n with dot","sbrief":"mod below n with dot"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"n underbar"},"mathspeak":{"default":"n underbar","brief":"n underbar","sbrief":"n underbar"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"n underhat"},"mathspeak":{"default":"modifying below n with caret","brief":"mod below n with caret","sbrief":"mod below n with caret"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"p acute"},"mathspeak":{"default":"modifying above p with acute","brief":"mod above p with acute","sbrief":"mod above p with acute"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"p overdot"},"mathspeak":{"default":"modifying above p with dot","brief":"mod above p with dot","sbrief":"mod above p with dot"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"r overdot"},"mathspeak":{"default":"modifying above r with dot","brief":"mod above r with dot","sbrief":"mod above r with dot"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"r underdot"},"mathspeak":{"default":"modifying below r with dot","brief":"mod below r with dot","sbrief":"mod below r with dot"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"r underbar"},"mathspeak":{"default":"r underbar","brief":"r underbar","sbrief":"r underbar"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"s overdot"},"mathspeak":{"default":"modifying above s with dot","brief":"mod above s with dot","sbrief":"mod above s with dot"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"s underdot"},"mathspeak":{"default":"modifying below s with dot","brief":"mod below s with dot","sbrief":"mod below s with dot"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"t overdot"},"mathspeak":{"default":"modifying above t with dot","brief":"mod above t with dot","sbrief":"mod above t with dot"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"t underdot"},"mathspeak":{"default":"modifying below t with dot","brief":"mod below t with dot","sbrief":"mod below t with dot"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"t underbar"},"mathspeak":{"default":"t underbar","brief":"t underbar","sbrief":"t underbar"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"t underhat"},"mathspeak":{"default":"modifying below t with caret","brief":"mod below t with caret","sbrief":"mod below t with caret"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"u double underdot"},"mathspeak":{"default":"modifying below u with double dot","brief":"mod below u with double dot","sbrief":"mod below u with double dot"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"u tilde below"},"mathspeak":{"default":"u undertilde","brief":"u undertilde","sbrief":"u undertilde"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"u underhat"},"mathspeak":{"default":"modifying below u with caret","brief":"mod below u with caret","sbrief":"mod below u with caret"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"v tilde"},"mathspeak":{"default":"v overtilde","brief":"v overtilde","sbrief":"v overtilde"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"v underdot"},"mathspeak":{"default":"modifying below v with dot","brief":"mod below v with dot","sbrief":"mod below v with dot"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"w grave"},"mathspeak":{"default":"modifying above w with grave","brief":"mod above w with grave","sbrief":"mod above w with grave"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"w acute"},"mathspeak":{"default":"modifying above w with acute","brief":"mod above w with acute","sbrief":"mod above w with acute"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"w double overdot"},"mathspeak":{"default":"modifying above w with double dot","brief":"mod above w with double dot","sbrief":"mod above w with double dot"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"w overdot"},"mathspeak":{"default":"modifying above w with dot","brief":"mod above w with dot","sbrief":"mod above w with dot"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"w underdot"},"mathspeak":{"default":"modifying below w with dot","brief":"mod below w with dot","sbrief":"mod below w with dot"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"x overdot"},"mathspeak":{"default":"modifying above x with dot","brief":"mod above x with dot","sbrief":"mod above x with dot"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"x double overdot"},"mathspeak":{"default":"modifying above x with double dot","brief":"mod above x with double dot","sbrief":"mod above x with double dot"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"y overdot"},"mathspeak":{"default":"modifying above y with dot","brief":"mod above y with dot","sbrief":"mod above y with dot"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"z hat"},"mathspeak":{"default":"modifying above z with caret","brief":"mod above z with caret","sbrief":"mod above z with caret"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"z underdot"},"mathspeak":{"default":"modifying below z with dot","brief":"mod below z with dot","sbrief":"mod below z with dot"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"z underbar"},"mathspeak":{"default":"z underbar","brief":"z underbar","sbrief":"z underbar"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"h underbar"},"mathspeak":{"default":"h underbar","brief":"h underbar","sbrief":"h underbar"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"t double overdot"},"mathspeak":{"default":"modifying above t with double dot","brief":"mod above t with double dot","sbrief":"mod above t with double dot"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"w ring"},"mathspeak":{"default":"modifying above w with ring","brief":"mod above w with ring","sbrief":"mod above w with ring"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"y ring"},"mathspeak":{"default":"modifying above y with ring","brief":"mod above y with ring","sbrief":"mod above y with ring"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"a right half ring"},"mathspeak":{"default":"modifying above a with right half ring","brief":"mod above a with right half ring","sbrief":"mod above a with right half ring"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"a underdot"},"mathspeak":{"default":"modifying below a with dot","brief":"mod below a with dot","sbrief":"mod below a with dot"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"a hook"},"mathspeak":{"default":"modifying above a with hook","brief":"mod above a with hook","sbrief":"mod above a with hook"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"e underdot"},"mathspeak":{"default":"modifying below e with dot","brief":"mod below e with dot","sbrief":"mod below e with dot"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"e hook"},"mathspeak":{"default":"modifying above e with hook","brief":"mod above e with hook","sbrief":"mod above e with hook"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"e tilde"},"mathspeak":{"default":"e overtilde","brief":"e overtilde","sbrief":"e overtilde"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"i hook"},"mathspeak":{"default":"modifying above i with hook","brief":"mod above i with hook","sbrief":"mod above i with hook"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"i underdot"},"mathspeak":{"default":"modifying below i with dot","brief":"mod below i with dot","sbrief":"mod below i with dot"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"o underdot"},"mathspeak":{"default":"modifying below o with dot","brief":"mod below o with dot","sbrief":"mod below o with dot"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"o hook"},"mathspeak":{"default":"modifying above o with hook","brief":"mod above o with hook","sbrief":"mod above o with hook"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"u underdot"},"mathspeak":{"default":"modifying below u with dot","brief":"mod below u with dot","sbrief":"mod below u with dot"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"u hook"},"mathspeak":{"default":"modifying above u with hook","brief":"mod above u with hook","sbrief":"mod above u with hook"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"y grave"},"mathspeak":{"default":"modifying above y with grave","brief":"mod above y with grave","sbrief":"mod above y with grave"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"y underdot"},"mathspeak":{"default":"modifying below y with dot","brief":"mod below y with dot","sbrief":"mod below y with dot"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"y hook"},"mathspeak":{"default":"modifying above y with hook","brief":"mod above y with hook","sbrief":"mod above y with hook"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"y tilde"},"mathspeak":{"default":"y overtilde","brief":"y overtilde","sbrief":"y overtilde"}}}]
+,
+"en/symbols/latin-rest.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"italic h","physics":"planck constant"}},"key":"210E"},{"category":"Mn","key":"0363","mappings":{"default":{"default":"combining a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"combining e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"combining i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"combining o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"combining u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"combining c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"combining d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"combining h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"combining m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"combining r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"combining t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"combining v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"combining x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"subscript i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"subscript r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"subscript u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"subscript v"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"combining r below"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"combining flattened open a above"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"combining ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"combining ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"combining av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"combining c cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"combining insular d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"combining eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"combining g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"combining small cap G"},"mathspeak":{"default":"combining small upper G"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"combining k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"combining l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"combining small cap L"},"mathspeak":{"default":"combining small upper L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"combining small cap M"},"mathspeak":{"default":"combining small upper M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"combining n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"combining small cap N"},"mathspeak":{"default":"combining small upper N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"combining small cap R"},"mathspeak":{"default":"combining small upper R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"combining r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"combining s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"combining long s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"combining z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"superscript i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"superscript n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"subscript a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"subscript e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"subscript o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"subscript x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"subscript schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"subscript h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"subscript k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"subscript l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"subscript m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"subscript n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"subscript p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"subscript s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"subscript t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"subscript j"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"tortoise shell bracketed cap S"},"mathspeak":{"default":"tortoise shell bracketed upper S"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"circled italic cap C"},"mathspeak":{"default":"circled italic upper C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"circled italic cap R"},"mathspeak":{"default":"circled italic upper R"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"crossed negative squared cap P"},"mathspeak":{"default":"crossed negative squared upper P"}}}]
+,
+"en/symbols/latin-upper-double-accent.js": 
+[{"locale":"en"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"cap U double overdot overbar"},"mathspeak":{"default":"upper U double overdot overbar"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"cap U double overdot acute"},"mathspeak":{"default":"upper U double overdot acute"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"cap U double overdot caron"},"mathspeak":{"default":"upper U double overdot caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"cap U double overdot grave"},"mathspeak":{"default":"upper U double overdot grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"cap A double overdot overbar"},"mathspeak":{"default":"upper A double overdot overbar"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"cap A overdot overbar"},"mathspeak":{"default":"upper A overdot overbar"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"cap O ogonek overbar"},"mathspeak":{"default":"upper O ogonek overbar"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"cap A ring acute"},"mathspeak":{"default":"upper A ring acute"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"cap O double overdot overbar"},"mathspeak":{"default":"upper O double overdot overbar"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"cap O tilde overbar"},"mathspeak":{"default":"upper O tilde overbar"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"cap O overdot overbar"},"mathspeak":{"default":"upper O overdot overbar"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"cap C cedilla acute"},"mathspeak":{"default":"upper C cedilla acute"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"cap E overbar grave"},"mathspeak":{"default":"upper E overbar grave"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"cap E overbar acute"},"mathspeak":{"default":"upper E overbar acute"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"cap E cedilla breve"},"mathspeak":{"default":"upper E cedilla breve"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"cap I double overdot acute"},"mathspeak":{"default":"upper I double overdot acute"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"cap L underdot overbar"},"mathspeak":{"default":"upper L underdot overbar"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"cap O tilde acute"},"mathspeak":{"default":"upper O tilde acute"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"cap O tilde double overdot"},"mathspeak":{"default":"upper O tilde double overdot"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"cap O overbar grave"},"mathspeak":{"default":"upper O overbar grave"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"cap O overbar acute"},"mathspeak":{"default":"upper O overbar acute"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"cap R overbar underdot"},"mathspeak":{"default":"upper R overbar underdot"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"cap S acute overdot"},"mathspeak":{"default":"upper S acute overdot"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"cap S caron overdot"},"mathspeak":{"default":"upper S caron overdot"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"cap S underdot overdot"},"mathspeak":{"default":"upper S underdot overdot"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"cap U tilde acute"},"mathspeak":{"default":"upper U tilde acute"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"cap U overbar double overdot"},"mathspeak":{"default":"upper U overbar double overdot"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"cap A hat acute"},"mathspeak":{"default":"upper A hat acute"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"cap A hat grave"},"mathspeak":{"default":"upper A hat grave"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"cap A hat hook"},"mathspeak":{"default":"upper A hat hook"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"cap A hat tilde"},"mathspeak":{"default":"upper A hat tilde"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"cap A hat underdot"},"mathspeak":{"default":"upper A hat underdot"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"cap A breve acute"},"mathspeak":{"default":"upper A breve acute"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"cap A breve grave"},"mathspeak":{"default":"upper A breve grave"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"cap A breve hook"},"mathspeak":{"default":"upper A breve hook"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"cap A breve tilde"},"mathspeak":{"default":"upper A breve tilde"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"cap A breve underdot"},"mathspeak":{"default":"upper A breve underdot"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"cap E hat acute"},"mathspeak":{"default":"upper E hat acute"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"cap E hat grave"},"mathspeak":{"default":"upper E hat grave"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"cap E hat hook"},"mathspeak":{"default":"upper E hat hook"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"cap E hat tilde"},"mathspeak":{"default":"upper E hat tilde"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"cap E hat underdot"},"mathspeak":{"default":"upper E hat underdot"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"cap O hat acute"},"mathspeak":{"default":"upper O hat acute"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"cap O hat grave"},"mathspeak":{"default":"upper O hat grave"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"cap O hat hook"},"mathspeak":{"default":"upper O hat hook"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"cap O hat tilde"},"mathspeak":{"default":"upper O hat tilde"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"cap O hat underdot"},"mathspeak":{"default":"upper O hat underdot"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"cap O acute prime"},"mathspeak":{"default":"upper O acute prime"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"cap O grave prime"},"mathspeak":{"default":"upper O grave prime"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"cap O hook prime"},"mathspeak":{"default":"upper O hook prime"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"cap O tilde prime"},"mathspeak":{"default":"upper O tilde prime"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"cap O underdot prime"},"mathspeak":{"default":"upper O underdot prime"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"cap U acute prime"},"mathspeak":{"default":"upper U acute prime"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"cap U grave prime"},"mathspeak":{"default":"upper U grave prime"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"cap U hook prime"},"mathspeak":{"default":"upper U hook prime"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"cap U tilde prime"},"mathspeak":{"default":"upper U tilde prime"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"cap U underdot prime"},"mathspeak":{"default":"upper U underdot prime"}}}]
+,
+"en/symbols/latin-upper-single-accent.js": 
+[{"locale":"en"},{"category":"Lu","key":"00C0","mappings":{"default":{"default":"cap A grave"},"mathspeak":{"default":"modifying above upper A with grave","brief":"mod above upper A with grave","sbrief":"mod above upper A with grave"}}},{"category":"Lu","key":"00C1","mappings":{"default":{"default":"cap A acute"},"mathspeak":{"default":"modifying above upper A with acute","brief":"mod above upper A with acute","sbrief":"mod above upper A with acute"}}},{"category":"Lu","key":"00C2","mappings":{"default":{"default":"cap A hat"},"mathspeak":{"default":"modifying above upper A with caret","brief":"mod above upper A with caret","sbrief":"mod above upper A with caret"}}},{"category":"Lu","key":"00C3","mappings":{"default":{"default":"cap A tilde"},"mathspeak":{"default":"upper A overtilde","brief":"upper A overtilde","sbrief":"upper A overtilde"}}},{"category":"Lu","key":"00C4","mappings":{"default":{"default":"cap A double overdot"},"mathspeak":{"default":"modifying above upper A with double dot","brief":"mod above upper A with double dot","sbrief":"mod above upper A with double dot"}}},{"category":"Lu","key":"00C5","mappings":{"default":{"default":"cap A ring"},"mathspeak":{"default":"modifying above upper A with ring","brief":"mod above upper A with ring","sbrief":"mod above upper A with ring"}}},{"category":"Lu","key":"00C7","mappings":{"default":{"default":"cap C cedilla"},"mathspeak":{"default":"modifying above upper C with cedilla","brief":"mod above upper C with cedilla","sbrief":"mod above upper C with cedilla"}}},{"category":"Lu","key":"00C8","mappings":{"default":{"default":"cap E grave"},"mathspeak":{"default":"modifying above upper E with grave","brief":"mod above upper E with grave","sbrief":"mod above upper E with grave"}}},{"category":"Lu","key":"00C9","mappings":{"default":{"default":"cap E acute"},"mathspeak":{"default":"modifying above upper E with acute","brief":"mod above upper E with acute","sbrief":"mod above upper E with acute"}}},{"category":"Lu","key":"00CA","mappings":{"default":{"default":"cap E hat"},"mathspeak":{"default":"modifying above upper E with caret","brief":"mod above upper E with caret","sbrief":"mod above upper E with caret"}}},{"category":"Lu","key":"00CB","mappings":{"default":{"default":"cap E double overdot"},"mathspeak":{"default":"modifying above upper E with double dot","brief":"mod above upper E with double dot","sbrief":"mod above upper E with double dot"}}},{"category":"Lu","key":"00CC","mappings":{"default":{"default":"cap I grave"},"mathspeak":{"default":"modifying above upper I with grave","brief":"mod above upper I with grave","sbrief":"mod above upper I with grave"}}},{"category":"Lu","key":"00CD","mappings":{"default":{"default":"cap I acute"},"mathspeak":{"default":"modifying above upper I with acute","brief":"mod above upper I with acute","sbrief":"mod above upper I with acute"}}},{"category":"Lu","key":"00CE","mappings":{"default":{"default":"cap I hat"},"mathspeak":{"default":"modifying above upper I with caret","brief":"mod above upper I with caret","sbrief":"mod above upper I with caret"}}},{"category":"Lu","key":"00CF","mappings":{"default":{"default":"cap I double overdot"},"mathspeak":{"default":"modifying above upper I with double dot","brief":"mod above upper I with double dot","sbrief":"mod above upper I with double dot"}}},{"category":"Lu","key":"00D1","mappings":{"default":{"default":"cap N tilde"},"mathspeak":{"default":"upper N overtilde","brief":"upper N overtilde","sbrief":"upper N overtilde"}}},{"category":"Lu","key":"00D2","mappings":{"default":{"default":"cap O grave"},"mathspeak":{"default":"modifying above upper O with grave","brief":"mod above upper O with grave","sbrief":"mod above upper O with grave"}}},{"category":"Lu","key":"00D3","mappings":{"default":{"default":"cap O acute"},"mathspeak":{"default":"modifying above upper O with acute","brief":"mod above upper O with acute","sbrief":"mod above upper O with acute"}}},{"category":"Lu","key":"00D4","mappings":{"default":{"default":"cap O hat"},"mathspeak":{"default":"modifying above upper O with caret","brief":"mod above upper O with caret","sbrief":"mod above upper O with caret"}}},{"category":"Lu","key":"00D5","mappings":{"default":{"default":"cap O tilde"},"mathspeak":{"default":"upper O overtilde","brief":"upper O overtilde","sbrief":"upper O overtilde"}}},{"category":"Lu","key":"00D6","mappings":{"default":{"default":"cap O double overdot"},"mathspeak":{"default":"modifying above upper O with double dot","brief":"mod above upper O with double dot","sbrief":"mod above upper O with double dot"}}},{"category":"Lu","key":"00D9","mappings":{"default":{"default":"cap U grave"},"mathspeak":{"default":"modifying above upper U with grave","brief":"mod above upper U with grave","sbrief":"mod above upper U with grave"}}},{"category":"Lu","key":"00DA","mappings":{"default":{"default":"cap U acute"},"mathspeak":{"default":"modifying above upper U with acute","brief":"mod above upper U with acute","sbrief":"mod above upper U with acute"}}},{"category":"Lu","key":"00DB","mappings":{"default":{"default":"cap U hat"},"mathspeak":{"default":"modifying above upper U with caret","brief":"mod above upper U with caret","sbrief":"mod above upper U with caret"}}},{"category":"Lu","key":"00DC","mappings":{"default":{"default":"cap U double overdot"},"mathspeak":{"default":"modifying above upper U with double dot","brief":"mod above upper U with double dot","sbrief":"mod above upper U with double dot"}}},{"category":"Lu","key":"00DD","mappings":{"default":{"default":"cap Y acute"},"mathspeak":{"default":"modifying above upper Y with acute","brief":"mod above upper Y with acute","sbrief":"mod above upper Y with acute"}}},{"category":"Lu","key":"0100","mappings":{"default":{"default":"cap A overbar"},"mathspeak":{"default":"upper A overbar","brief":"upper A overbar","sbrief":"upper A overbar"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"cap A breve"},"mathspeak":{"default":"modifying above upper A with breve","brief":"mod above upper A with breve","sbrief":"mod above upper A with breve"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"cap A ogonek"},"mathspeak":{"default":"modifying above upper A with ogonek","brief":"mod above upper A with ogonek","sbrief":"mod above upper A with ogonek"}}},{"category":"Lu","key":"0106","mappings":{"default":{"default":"cap C acute"},"mathspeak":{"default":"modifying above upper C with acute","brief":"mod above upper C with acute","sbrief":"mod above upper C with acute"}}},{"category":"Lu","key":"0108","mappings":{"default":{"default":"cap C hat"},"mathspeak":{"default":"modifying above upper C with caret","brief":"mod above upper C with caret","sbrief":"mod above upper C with caret"}}},{"category":"Lu","key":"010A","mappings":{"default":{"default":"cap C overdot"},"mathspeak":{"default":"modifying above upper C with dot","brief":"mod above upper C with dot","sbrief":"mod above upper C with dot"}}},{"category":"Lu","key":"010C","mappings":{"default":{"default":"cap C caron"},"mathspeak":{"default":"modifying above upper C with caron","brief":"mod above upper C with caron","sbrief":"mod above upper C with caron"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"cap D caron"},"mathspeak":{"default":"modifying above upper D with caron","brief":"mod above upper D with caron","sbrief":"mod above upper D with caron"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"cap E overbar"},"mathspeak":{"default":"upper E overbar","brief":"upper E overbar","sbrief":"upper E overbar"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"cap E breve"},"mathspeak":{"default":"modifying above upper E with breve","brief":"mod above upper E with breve","sbrief":"mod above upper E with breve"}}},{"category":"Lu","key":"0116","mappings":{"default":{"default":"cap E overdot"},"mathspeak":{"default":"modifying above upper E with dot","brief":"mod above upper E with dot","sbrief":"mod above upper E with dot"}}},{"category":"Lu","key":"0118","mappings":{"default":{"default":"cap E ogonek"},"mathspeak":{"default":"modifying above upper E with ogonek","brief":"mod above upper E with ogonek","sbrief":"mod above upper E with ogonek"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"cap E caron"},"mathspeak":{"default":"modifying above upper E with caron","brief":"mod above upper E with caron","sbrief":"mod above upper E with caron"}}},{"category":"Lu","key":"011C","mappings":{"default":{"default":"cap G hat"},"mathspeak":{"default":"modifying above upper G with caret","brief":"mod above upper G with caret","sbrief":"mod above upper G with caret"}}},{"category":"Lu","key":"011E","mappings":{"default":{"default":"cap G breve"},"mathspeak":{"default":"modifying above upper G with breve","brief":"mod above upper G with breve","sbrief":"mod above upper G with breve"}}},{"category":"Lu","key":"0120","mappings":{"default":{"default":"cap G overdot"},"mathspeak":{"default":"modifying above upper G with dot","brief":"mod above upper G with dot","sbrief":"mod above upper G with dot"}}},{"category":"Lu","key":"0122","mappings":{"default":{"default":"cap G cedilla"},"mathspeak":{"default":"modifying above upper G with cedilla","brief":"mod above upper G with cedilla","sbrief":"mod above upper G with cedilla"}}},{"category":"Lu","key":"0124","mappings":{"default":{"default":"cap H hat"},"mathspeak":{"default":"modifying above upper H with caret","brief":"mod above upper H with caret","sbrief":"mod above upper H with caret"}}},{"category":"Lu","key":"0128","mappings":{"default":{"default":"cap I tilde"},"mathspeak":{"default":"upper I overtilde","brief":"upper I overtilde","sbrief":"upper I overtilde"}}},{"category":"Lu","key":"012A","mappings":{"default":{"default":"cap I overbar"},"mathspeak":{"default":"upper I overbar","brief":"upper I overbar","sbrief":"upper I overbar"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"cap I breve"},"mathspeak":{"default":"modifying above upper I with breve","brief":"mod above upper I with breve","sbrief":"mod above upper I with breve"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"cap I ogonek"},"mathspeak":{"default":"modifying above upper I with ogonek","brief":"mod above upper I with ogonek","sbrief":"mod above upper I with ogonek"}}},{"category":"Lu","key":"0130","mappings":{"default":{"default":"cap I overdot"},"mathspeak":{"default":"modifying above upper I with dot","brief":"mod above upper I with dot","sbrief":"mod above upper I with dot"}}},{"category":"Lu","key":"0134","mappings":{"default":{"default":"cap J hat"},"mathspeak":{"default":"modifying above upper J with caret","brief":"mod above upper J with caret","sbrief":"mod above upper J with caret"}}},{"category":"Lu","key":"0136","mappings":{"default":{"default":"cap K cedilla"},"mathspeak":{"default":"modifying above upper K with cedilla","brief":"mod above upper K with cedilla","sbrief":"mod above upper K with cedilla"}}},{"category":"Lu","key":"0139","mappings":{"default":{"default":"cap L acute"},"mathspeak":{"default":"modifying above upper L with acute","brief":"mod above upper L with acute","sbrief":"mod above upper L with acute"}}},{"category":"Lu","key":"013B","mappings":{"default":{"default":"cap L cedilla"},"mathspeak":{"default":"modifying above upper L with cedilla","brief":"mod above upper L with cedilla","sbrief":"mod above upper L with cedilla"}}},{"category":"Lu","key":"013D","mappings":{"default":{"default":"cap L caron"},"mathspeak":{"default":"modifying above upper L with caron","brief":"mod above upper L with caron","sbrief":"mod above upper L with caron"}}},{"category":"Lu","key":"013F","mappings":{"default":{"default":"cap L middle dot"},"mathspeak":{"default":"modifying above upper L with middle dot","brief":"mod above upper L with middle dot","sbrief":"mod above upper L with middle dot"}}},{"category":"Lu","key":"0143","mappings":{"default":{"default":"cap N acute"},"mathspeak":{"default":"modifying above upper N with acute","brief":"mod above upper N with acute","sbrief":"mod above upper N with acute"}}},{"category":"Lu","key":"0145","mappings":{"default":{"default":"cap N cedilla"},"mathspeak":{"default":"modifying above upper N with cedilla","brief":"mod above upper N with cedilla","sbrief":"mod above upper N with cedilla"}}},{"category":"Lu","key":"0147","mappings":{"default":{"default":"cap N caron"},"mathspeak":{"default":"modifying above upper N with caron","brief":"mod above upper N with caron","sbrief":"mod above upper N with caron"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"cap O overbar"},"mathspeak":{"default":"upper O overbar","brief":"upper O overbar","sbrief":"upper O overbar"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"cap O breve"},"mathspeak":{"default":"modifying above upper O with breve","brief":"mod above upper O with breve","sbrief":"mod above upper O with breve"}}},{"category":"Lu","key":"0150","mappings":{"default":{"default":"cap O double acute"},"mathspeak":{"default":"modifying above upper O with double acute","brief":"mod above upper O with double acute","sbrief":"mod above upper O with double acute"}}},{"category":"Lu","key":"0154","mappings":{"default":{"default":"cap R acute"},"mathspeak":{"default":"modifying above upper R with acute","brief":"mod above upper R with acute","sbrief":"mod above upper R with acute"}}},{"category":"Lu","key":"0156","mappings":{"default":{"default":"cap R cedilla"},"mathspeak":{"default":"modifying above upper R with cedilla","brief":"mod above upper R with cedilla","sbrief":"mod above upper R with cedilla"}}},{"category":"Lu","key":"0158","mappings":{"default":{"default":"cap R caron"},"mathspeak":{"default":"modifying above upper R with caron","brief":"mod above upper R with caron","sbrief":"mod above upper R with caron"}}},{"category":"Lu","key":"015A","mappings":{"default":{"default":"cap S acute"},"mathspeak":{"default":"modifying above upper S with acute","brief":"mod above upper S with acute","sbrief":"mod above upper S with acute"}}},{"category":"Lu","key":"015C","mappings":{"default":{"default":"cap S hat"},"mathspeak":{"default":"modifying above upper S with caret","brief":"mod above upper S with caret","sbrief":"mod above upper S with caret"}}},{"category":"Lu","key":"015E","mappings":{"default":{"default":"cap S cedilla"},"mathspeak":{"default":"modifying above upper S with cedilla","brief":"mod above upper S with cedilla","sbrief":"mod above upper S with cedilla"}}},{"category":"Lu","key":"0160","mappings":{"default":{"default":"cap S caron"},"mathspeak":{"default":"modifying above upper S with caron","brief":"mod above upper S with caron","sbrief":"mod above upper S with caron"}}},{"category":"Lu","key":"0162","mappings":{"default":{"default":"cap T cedilla"},"mathspeak":{"default":"modifying above upper T with cedilla","brief":"mod above upper T with cedilla","sbrief":"mod above upper T with cedilla"}}},{"category":"Lu","key":"0164","mappings":{"default":{"default":"cap T caron"},"mathspeak":{"default":"modifying above upper T with caron","brief":"mod above upper T with caron","sbrief":"mod above upper T with caron"}}},{"category":"Lu","key":"0168","mappings":{"default":{"default":"cap U tilde"},"mathspeak":{"default":"upper U overtilde","brief":"upper U overtilde","sbrief":"upper U overtilde"}}},{"category":"Lu","key":"016A","mappings":{"default":{"default":"cap U overbar"},"mathspeak":{"default":"upper U overbar","brief":"upper U overbar","sbrief":"upper U overbar"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"cap U breve"},"mathspeak":{"default":"modifying above upper U with breve","brief":"mod above upper U with breve","sbrief":"mod above upper U with breve"}}},{"category":"Lu","key":"016E","mappings":{"default":{"default":"cap U ring"},"mathspeak":{"default":"modifying above upper U with ring","brief":"mod above upper U with ring","sbrief":"mod above upper U with ring"}}},{"category":"Lu","key":"0170","mappings":{"default":{"default":"cap U double acute"},"mathspeak":{"default":"modifying above upper U with double acute","brief":"mod above upper U with double acute","sbrief":"mod above upper U with double acute"}}},{"category":"Lu","key":"0172","mappings":{"default":{"default":"cap U ogonek"},"mathspeak":{"default":"modifying above upper U with ogonek","brief":"mod above upper U with ogonek","sbrief":"mod above upper U with ogonek"}}},{"category":"Lu","key":"0174","mappings":{"default":{"default":"cap W hat"},"mathspeak":{"default":"modifying above upper W with caret","brief":"mod above upper W with caret","sbrief":"mod above upper W with caret"}}},{"category":"Lu","key":"0176","mappings":{"default":{"default":"cap Y hat"},"mathspeak":{"default":"modifying above upper Y with caret","brief":"mod above upper Y with caret","sbrief":"mod above upper Y with caret"}}},{"category":"Lu","key":"0178","mappings":{"default":{"default":"cap Y double overdot"},"mathspeak":{"default":"modifying above upper Y with double dot","brief":"mod above upper Y with double dot","sbrief":"mod above upper Y with double dot"}}},{"category":"Lu","key":"0179","mappings":{"default":{"default":"cap Z acute"},"mathspeak":{"default":"modifying above upper Z with acute","brief":"mod above upper Z with acute","sbrief":"mod above upper Z with acute"}}},{"category":"Lu","key":"017B","mappings":{"default":{"default":"cap Z overdot"},"mathspeak":{"default":"modifying above upper Z with dot","brief":"mod above upper Z with dot","sbrief":"mod above upper Z with dot"}}},{"category":"Lu","key":"017D","mappings":{"default":{"default":"cap Z caron"},"mathspeak":{"default":"modifying above upper Z with caron","brief":"mod above upper Z with caron","sbrief":"mod above upper Z with caron"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"cap A caron"},"mathspeak":{"default":"modifying above upper A with caron","brief":"mod above upper A with caron","sbrief":"mod above upper A with caron"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"cap I caron"},"mathspeak":{"default":"modifying above upper I with caron","brief":"mod above upper I with caron","sbrief":"mod above upper I with caron"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"cap O caron"},"mathspeak":{"default":"modifying above upper O with caron","brief":"mod above upper O with caron","sbrief":"mod above upper O with caron"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"cap U caron"},"mathspeak":{"default":"modifying above upper U with caron","brief":"mod above upper U with caron","sbrief":"mod above upper U with caron"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"cap G caron"},"mathspeak":{"default":"modifying above upper G with caron","brief":"mod above upper G with caron","sbrief":"mod above upper G with caron"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"cap K caron"},"mathspeak":{"default":"modifying above upper K with caron","brief":"mod above upper K with caron","sbrief":"mod above upper K with caron"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"cap O ogonek"},"mathspeak":{"default":"modifying above upper O with ogonek","brief":"mod above upper O with ogonek","sbrief":"mod above upper O with ogonek"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"cap G acute"},"mathspeak":{"default":"modifying above upper G with acute","brief":"mod above upper G with acute","sbrief":"mod above upper G with acute"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"cap N grave"},"mathspeak":{"default":"modifying above upper N with grave","brief":"mod above upper N with grave","sbrief":"mod above upper N with grave"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"cap A double grave"},"mathspeak":{"default":"modifying above upper A with double grave","brief":"mod above upper A with double grave","sbrief":"mod above upper A with double grave"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"cap A inverted breve"},"mathspeak":{"default":"modifying above upper A with inverted breve","brief":"mod above upper A with inverted breve","sbrief":"mod above upper A with inverted breve"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"cap E double grave"},"mathspeak":{"default":"modifying above upper E with double grave","brief":"mod above upper E with double grave","sbrief":"mod above upper E with double grave"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"cap E inverted breve"},"mathspeak":{"default":"modifying above upper E with inverted breve","brief":"mod above upper E with inverted breve","sbrief":"mod above upper E with inverted breve"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"cap I double grave"},"mathspeak":{"default":"modifying above upper I with double grave","brief":"mod above upper I with double grave","sbrief":"mod above upper I with double grave"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"cap I inverted breve"},"mathspeak":{"default":"modifying above upper I with inverted breve","brief":"mod above upper I with inverted breve","sbrief":"mod above upper I with inverted breve"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"cap O double grave"},"mathspeak":{"default":"modifying above upper O with double grave","brief":"mod above upper O with double grave","sbrief":"mod above upper O with double grave"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"cap O inverted breve"},"mathspeak":{"default":"modifying above upper O with inverted breve","brief":"mod above upper O with inverted breve","sbrief":"mod above upper O with inverted breve"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"cap R double grave"},"mathspeak":{"default":"modifying above upper R with double grave","brief":"mod above upper R with double grave","sbrief":"mod above upper R with double grave"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"cap R inverted breve"},"mathspeak":{"default":"modifying above upper R with inverted breve","brief":"mod above upper R with inverted breve","sbrief":"mod above upper R with inverted breve"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"cap U double grave"},"mathspeak":{"default":"modifying above upper U with double grave","brief":"mod above upper U with double grave","sbrief":"mod above upper U with double grave"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"cap U inverted breve"},"mathspeak":{"default":"modifying above upper U with inverted breve","brief":"mod above upper U with inverted breve","sbrief":"mod above upper U with inverted breve"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"cap S comma below"},"mathspeak":{"default":"modifying below upper S with comma below","brief":"mod below upper S with comma below","sbrief":"mod below upper S with comma below"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"cap T comma below"},"mathspeak":{"default":"modifying below upper T with comma below","brief":"mod below upper T with comma below","sbrief":"mod below upper T with comma below"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"cap H caron"},"mathspeak":{"default":"modifying above upper H with caron","brief":"mod above upper H with caron","sbrief":"mod above upper H with caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"cap A overdot"},"mathspeak":{"default":"modifying above upper A with dot","brief":"mod above upper A with dot","sbrief":"mod above upper A with dot"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"cap E cedilla"},"mathspeak":{"default":"modifying above upper E with cedilla","brief":"mod above upper E with cedilla","sbrief":"mod above upper E with cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"cap O overdot"},"mathspeak":{"default":"modifying above upper O with dot","brief":"mod above upper O with dot","sbrief":"mod above upper O with dot"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"cap Y overbar"},"mathspeak":{"default":"upper Y overbar","brief":"upper Y overbar","sbrief":"upper Y overbar"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"cap A ring below"},"mathspeak":{"default":"modifying below upper A with ring below","brief":"mod below upper A with ring below","sbrief":"mod below upper A with ring below"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"cap B overdot"},"mathspeak":{"default":"modifying above upper B with dot","brief":"mod above upper B with dot","sbrief":"mod above upper B with dot"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"cap B underdot"},"mathspeak":{"default":"modifying below upper B with dot","brief":"mod below upper B with dot","sbrief":"mod below upper B with dot"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"cap B underbar"},"mathspeak":{"default":"upper B underbar","brief":"upper B underbar","sbrief":"upper B underbar"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"cap D overdot"},"mathspeak":{"default":"modifying above upper D with dot","brief":"mod above upper D with dot","sbrief":"mod above upper D with dot"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"cap D underdot"},"mathspeak":{"default":"modifying below upper D with dot","brief":"mod below upper D with dot","sbrief":"mod below upper D with dot"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"cap D underbar"},"mathspeak":{"default":"upper D underbar","brief":"upper D underbar","sbrief":"upper D underbar"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"cap D cedilla"},"mathspeak":{"default":"modifying above upper D with cedilla","brief":"mod above upper D with cedilla","sbrief":"mod above upper D with cedilla"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"cap D underhat"},"mathspeak":{"default":"modifying below upper D with caret","brief":"mod below upper D with caret","sbrief":"mod below upper D with caret"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"cap E underhat"},"mathspeak":{"default":"modifying below upper E with caret","brief":"mod below upper E with caret","sbrief":"mod below upper E with caret"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"cap E tilde below"},"mathspeak":{"default":"upper E undertilde","brief":"upper E undertilde","sbrief":"upper E undertilde"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"cap F overdot"},"mathspeak":{"default":"modifying above upper F with dot","brief":"mod above upper F with dot","sbrief":"mod above upper F with dot"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"cap G overbar"},"mathspeak":{"default":"upper G overbar","brief":"upper G overbar","sbrief":"upper G overbar"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"cap H overdot"},"mathspeak":{"default":"modifying above upper H with dot","brief":"mod above upper H with dot","sbrief":"mod above upper H with dot"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"cap H underdot"},"mathspeak":{"default":"modifying below upper H with dot","brief":"mod below upper H with dot","sbrief":"mod below upper H with dot"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"cap H double overdot"},"mathspeak":{"default":"modifying above upper H with double dot","brief":"mod above upper H with double dot","sbrief":"mod above upper H with double dot"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"cap H cedilla"},"mathspeak":{"default":"modifying above upper H with cedilla","brief":"mod above upper H with cedilla","sbrief":"mod above upper H with cedilla"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"cap H breve below"},"mathspeak":{"default":"modifying below upper H with breve below","brief":"mod below upper H with breve below","sbrief":"mod below upper H with breve below"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"cap I tilde below"},"mathspeak":{"default":"upper I undertilde","brief":"upper I undertilde","sbrief":"upper I undertilde"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"cap K acute"},"mathspeak":{"default":"modifying above upper K with acute","brief":"mod above upper K with acute","sbrief":"mod above upper K with acute"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"cap K underdot"},"mathspeak":{"default":"modifying below upper K with dot","brief":"mod below upper K with dot","sbrief":"mod below upper K with dot"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"cap K underbar"},"mathspeak":{"default":"upper K underbar","brief":"upper K underbar","sbrief":"upper K underbar"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"cap L underdot"},"mathspeak":{"default":"modifying below upper L with dot","brief":"mod below upper L with dot","sbrief":"mod below upper L with dot"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"cap L underbar"},"mathspeak":{"default":"upper L underbar","brief":"upper L underbar","sbrief":"upper L underbar"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"cap L underhat"},"mathspeak":{"default":"modifying below upper L with caret","brief":"mod below upper L with caret","sbrief":"mod below upper L with caret"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"cap M acute"},"mathspeak":{"default":"modifying above upper M with acute","brief":"mod above upper M with acute","sbrief":"mod above upper M with acute"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"cap M overdot"},"mathspeak":{"default":"modifying above upper M with dot","brief":"mod above upper M with dot","sbrief":"mod above upper M with dot"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"cap M underdot"},"mathspeak":{"default":"modifying below upper M with dot","brief":"mod below upper M with dot","sbrief":"mod below upper M with dot"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"cap N overdot"},"mathspeak":{"default":"modifying above upper N with dot","brief":"mod above upper N with dot","sbrief":"mod above upper N with dot"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"cap N underdot"},"mathspeak":{"default":"modifying below upper N with dot","brief":"mod below upper N with dot","sbrief":"mod below upper N with dot"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"cap N underbar"},"mathspeak":{"default":"upper N underbar","brief":"upper N underbar","sbrief":"upper N underbar"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"cap N underhat"},"mathspeak":{"default":"modifying below upper N with caret","brief":"mod below upper N with caret","sbrief":"mod below upper N with caret"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"cap P acute"},"mathspeak":{"default":"modifying above upper P with acute","brief":"mod above upper P with acute","sbrief":"mod above upper P with acute"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"cap P overdot"},"mathspeak":{"default":"modifying above upper P with dot","brief":"mod above upper P with dot","sbrief":"mod above upper P with dot"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"cap R overdot"},"mathspeak":{"default":"modifying above upper R with dot","brief":"mod above upper R with dot","sbrief":"mod above upper R with dot"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"cap R underdot"},"mathspeak":{"default":"modifying below upper R with dot","brief":"mod below upper R with dot","sbrief":"mod below upper R with dot"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"cap R underbar"},"mathspeak":{"default":"upper R underbar","brief":"upper R underbar","sbrief":"upper R underbar"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"cap S overdot"},"mathspeak":{"default":"modifying above upper S with dot","brief":"mod above upper S with dot","sbrief":"mod above upper S with dot"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"cap S underdot"},"mathspeak":{"default":"modifying below upper S with dot","brief":"mod below upper S with dot","sbrief":"mod below upper S with dot"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"cap T overdot"},"mathspeak":{"default":"modifying above upper T with dot","brief":"mod above upper T with dot","sbrief":"mod above upper T with dot"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"cap T underdot"},"mathspeak":{"default":"modifying below upper T with dot","brief":"mod below upper T with dot","sbrief":"mod below upper T with dot"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"cap T underbar"},"mathspeak":{"default":"upper T underbar","brief":"upper T underbar","sbrief":"upper T underbar"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"cap T underhat"},"mathspeak":{"default":"modifying below upper T with caret","brief":"mod below upper T with caret","sbrief":"mod below upper T with caret"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"cap U double underdot"},"mathspeak":{"default":"modifying below upper U with double dot","brief":"mod below upper U with double dot","sbrief":"mod below upper U with double dot"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"cap U tilde below"},"mathspeak":{"default":"upper U undertilde","brief":"upper U undertilde","sbrief":"upper U undertilde"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"cap U underhat"},"mathspeak":{"default":"modifying below upper U with caret","brief":"mod below upper U with caret","sbrief":"mod below upper U with caret"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"cap V tilde"},"mathspeak":{"default":"upper V overtilde","brief":"upper V overtilde","sbrief":"upper V overtilde"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"cap V underdot"},"mathspeak":{"default":"modifying below upper V with dot","brief":"mod below upper V with dot","sbrief":"mod below upper V with dot"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"cap W grave"},"mathspeak":{"default":"modifying above upper W with grave","brief":"mod above upper W with grave","sbrief":"mod above upper W with grave"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"cap W acute"},"mathspeak":{"default":"modifying above upper W with acute","brief":"mod above upper W with acute","sbrief":"mod above upper W with acute"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"cap W double overdot"},"mathspeak":{"default":"modifying above upper W with double dot","brief":"mod above upper W with double dot","sbrief":"mod above upper W with double dot"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"cap W overdot"},"mathspeak":{"default":"modifying above upper W with dot","brief":"mod above upper W with dot","sbrief":"mod above upper W with dot"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"cap W underdot"},"mathspeak":{"default":"modifying below upper W with dot","brief":"mod below upper W with dot","sbrief":"mod below upper W with dot"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"cap X overdot"},"mathspeak":{"default":"modifying above upper X with dot","brief":"mod above upper X with dot","sbrief":"mod above upper X with dot"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"cap X double overdot"},"mathspeak":{"default":"modifying above upper X with double dot","brief":"mod above upper X with double dot","sbrief":"mod above upper X with double dot"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"cap Y overdot"},"mathspeak":{"default":"modifying above upper Y with dot","brief":"mod above upper Y with dot","sbrief":"mod above upper Y with dot"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"cap Z circumflex"},"mathspeak":{"default":"modifying above upper Z with circumflex","brief":"mod above upper Z with circumflex","sbrief":"mod above upper Z with circumflex"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"cap Z underdot"},"mathspeak":{"default":"modifying below upper Z with dot","brief":"mod below upper Z with dot","sbrief":"mod below upper Z with dot"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"cap Z underbar"},"mathspeak":{"default":"upper Z underbar","brief":"upper Z underbar","sbrief":"upper Z underbar"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"cap A underdot"},"mathspeak":{"default":"modifying below upper A with dot","brief":"mod below upper A with dot","sbrief":"mod below upper A with dot"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"cap A hook"},"mathspeak":{"default":"modifying above upper A with hook","brief":"mod above upper A with hook","sbrief":"mod above upper A with hook"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"cap E underdot"},"mathspeak":{"default":"modifying below upper E with dot","brief":"mod below upper E with dot","sbrief":"mod below upper E with dot"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"cap E hook"},"mathspeak":{"default":"modifying above upper E with hook","brief":"mod above upper E with hook","sbrief":"mod above upper E with hook"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"cap E tilde"},"mathspeak":{"default":"upper E overtilde","brief":"upper E overtilde","sbrief":"upper E overtilde"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"cap I hook"},"mathspeak":{"default":"modifying above upper I with hook","brief":"mod above upper I with hook","sbrief":"mod above upper I with hook"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"cap I underdot"},"mathspeak":{"default":"modifying below upper I with dot","brief":"mod below upper I with dot","sbrief":"mod below upper I with dot"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"cap O underdot"},"mathspeak":{"default":"modifying below upper O with dot","brief":"mod below upper O with dot","sbrief":"mod below upper O with dot"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"cap O hook"},"mathspeak":{"default":"modifying above upper O with hook","brief":"mod above upper O with hook","sbrief":"mod above upper O with hook"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"cap U underdot"},"mathspeak":{"default":"modifying below upper U with dot","brief":"mod below upper U with dot","sbrief":"mod below upper U with dot"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"cap U hook"},"mathspeak":{"default":"modifying above upper U with hook","brief":"mod above upper U with hook","sbrief":"mod above upper U with hook"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"cap Y grave"},"mathspeak":{"default":"modifying above upper Y with grave","brief":"mod above upper Y with grave","sbrief":"mod above upper Y with grave"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"cap Y underdot"},"mathspeak":{"default":"modifying below upper Y with dot","brief":"mod below upper Y with dot","sbrief":"mod below upper Y with dot"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"cap Y hook"},"mathspeak":{"default":"modifying above upper Y with hook","brief":"mod above upper Y with hook","sbrief":"mod above upper Y with hook"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"cap Y tilde"},"mathspeak":{"default":"upper Y overtilde","brief":"upper Y overtilde","sbrief":"upper Y overtilde"}}}]
+,
+"en/symbols/math_angles.js": 
 [{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"right angle with arc"}},"key":"22BE"},{"category":"Sm","mappings":{"default":{"default":"right angle with downwards zigzag arrow"}},"key":"237C"},{"category":"Sm","mappings":{"default":{"default":"three dimensional angle"}},"key":"27C0"},{"category":"Sm","mappings":{"default":{"default":"measured angle opening left"}},"key":"299B"},{"category":"Sm","mappings":{"default":{"default":"right angle variant with square"}},"key":"299C"},{"category":"Sm","mappings":{"default":{"default":"measured right angle with dot"}},"key":"299D"},{"category":"Sm","mappings":{"default":{"default":"angle with s inside"}},"key":"299E"},{"category":"Sm","mappings":{"default":{"default":"acute angle"}},"key":"299F"},{"category":"Sm","mappings":{"default":{"default":"spherical angle opening left"}},"key":"29A0"},{"category":"Sm","mappings":{"default":{"default":"spherical angle opening up"}},"key":"29A1"},{"category":"Sm","mappings":{"default":{"default":"turned angle"}},"key":"29A2"},{"category":"Sm","mappings":{"default":{"default":"reversed angle"}},"key":"29A3"},{"category":"Sm","mappings":{"default":{"default":"angle with underbar"}},"key":"29A4"},{"category":"Sm","mappings":{"default":{"default":"reversed angle with underbar"}},"key":"29A5"},{"category":"Sm","mappings":{"default":{"default":"oblique angle opening up"}},"key":"29A6"},{"category":"Sm","mappings":{"default":{"default":"oblique angle opening down"}},"key":"29A7"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and right"}},"key":"29A8"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and left"}},"key":"29A9"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and right"}},"key":"29AA"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and left"}},"key":"29AB"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"key":"29AC"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"key":"29AD"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"key":"29AE"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"key":"29AF"}]
 ,
-"en/math_arrows.js": 
-[{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow","short":"left arrow"},"mathspeak":{"default":"left-arrow","sbrief":"L arrow"}},"key":"2190"},{"category":"Sm","mappings":{"default":{"default":"upwards arrow","short":"up arrow"},"mathspeak":{"default":"up-arrow","sbrief":"U arrow"}},"key":"2191"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow","short":"right arrow"},"mathspeak":{"default":"right-arrow","sbrief":"R arrow"}},"key":"2192"},{"category":"Sm","mappings":{"default":{"default":"downwards arrow","short":"down arrow"},"mathspeak":{"default":"down-arrow","sbrief":"D arrow"}},"key":"2193"},{"category":"Sm","mappings":{"default":{"default":"left right arrow"},"mathspeak":{"default":"left-right-arrow","sbrief":"L R arrow"}},"key":"2194"},{"category":"So","mappings":{"default":{"default":"up down arrow"},"mathspeak":{"default":"up down-arrow","sbrief":"U D arrow"}},"key":"2195"},{"category":"So","mappings":{"default":{"default":"north west arrow","short":"up left arrow"},"mathspeak":{"default":"up left-arrow","sbrief":"U L arrow"}},"key":"2196"},{"category":"So","mappings":{"default":{"default":"north east arrow","short":"up right arrow"},"mathspeak":{"default":"up right-arrow","sbrief":"U R arrow"}},"key":"2197"},{"category":"So","mappings":{"default":{"default":"south east arrow","short":"down right arrow"},"mathspeak":{"default":"down right-arrow","sbrief":"D R arrow"}},"key":"2198"},{"category":"So","mappings":{"default":{"default":"south west arrow","short":"down left arrow"},"mathspeak":{"default":"down left-arrow","sbrief":"D L arrow"}},"key":"2199"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with stroke","short":"left arrow with stroke"},"mathspeak":{"default":"left-arrow with stroke","sbrief":"L arrow with stroke"}},"key":"219A"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with stroke","short":"right arrow with stroke"},"mathspeak":{"default":"right-arrow with stroke","sbrief":"R arrow with stroke"}},"key":"219B"},{"category":"So","mappings":{"default":{"default":"leftwards wave arrow","short":"left wave arrow"},"mathspeak":{"sbrief":"L wave arrow"}},"key":"219C"},{"category":"So","mappings":{"default":{"default":"rightwards wave arrow","short":"right wave arrow"},"mathspeak":{"sbrief":"R wave arrow"}},"key":"219D"},{"category":"So","mappings":{"default":{"default":"leftwards two headed arrow","alternative":"left two headed arrow","short":"two headed left arrow"},"mathspeak":{"default":"two headed left-arrow","sbrief":"two headed L arrow"}},"key":"219E"},{"category":"So","mappings":{"default":{"default":"upwards two headed arrow","alternative":"up two headed arrow","short":"two headed up arrow"},"mathspeak":{"default":"two headed up-arrow","sbrief":"two headed U arrow"}},"key":"219F"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow","alternative":"right two headed arrow","short":"two headed right arrow"},"mathspeak":{"default":"two headed right-arrow","sbrief":"two headed R arrow"}},"key":"21A0"},{"category":"So","mappings":{"default":{"default":"downwards two headed arrow","alternative":"down two headed arrow","short":"two headed down arrow"},"mathspeak":{"default":"two headed down-arrow","sbrief":"two headed D arrow"}},"key":"21A1"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with tail","short":"left arrow with tail"},"mathspeak":{"default":"left-arrow with tail","sbrief":"L arrow with tail"}},"key":"21A2"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with tail","short":"right arrow with tail"},"mathspeak":{"default":"right-arrow with tail","sbrief":"R arrow with tail"}},"key":"21A3"},{"category":"So","mappings":{"default":{"default":"leftwards arrow from bar","short":"left arrow from bar"},"mathspeak":{"default":"left-arrow from bar","sbrief":"L arrow from bar"}},"key":"21A4"},{"category":"So","mappings":{"default":{"default":"upwards arrow from bar","short":"up arrow from bar"},"mathspeak":{"default":"up-arrow from bar","sbrief":"U arrow from bar"}},"key":"21A5"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow from bar","short":"right arrow from bar"},"mathspeak":{"default":"right-arrow from bar","sbrief":"R arrow from bar"}},"key":"21A6"},{"category":"So","mappings":{"default":{"default":"downwards arrow from bar","short":"down arrow from bar"},"mathspeak":{"default":"down-arrow from bar","sbrief":"D arrow from bar"}},"key":"21A7"},{"category":"So","mappings":{"default":{"default":"up down arrow with base"},"mathspeak":{"default":"up down-arrow with base","sbrief":"U D arrow with base"}},"key":"21A8"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with hook","short":"left arrow with hook"},"mathspeak":{"default":"left-arrow with hook","sbrief":"L arrow with hook"}},"key":"21A9"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with hook","short":"right arrow with hook"},"mathspeak":{"default":"right-arrow with hook","sbrief":"R arrow with hook"}},"key":"21AA"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with loop","short":"left arrow with loop"},"mathspeak":{"default":"left-arrow with loop","sbrief":"L arrow with loop"}},"key":"21AB"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with loop","short":"right arrow with loop"},"mathspeak":{"default":"right-arrow with loop","sbrief":"R arrow with loop"}},"key":"21AC"},{"category":"So","mappings":{"default":{"default":"left right wave arrow"},"mathspeak":{"sbrief":"L R wave arrow"}},"key":"21AD"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with stroke"},"mathspeak":{"default":"left-right-arrow with stroke","sbrief":"L R arrow with stroke"}},"key":"21AE"},{"category":"So","mappings":{"default":{"default":"downwards zigzag arrow","short":"down zigzag arrow"},"mathspeak":{"sbrief":"d zigzag arrow"}},"key":"21AF"},{"category":"So","mappings":{"default":{"default":"upwards arrow with tip leftwards","short":"up arrow with tip left"},"mathspeak":{"default":"up-arrow with tip left","sbrief":"U arrow with tip left"}},"key":"21B0"},{"category":"So","mappings":{"default":{"default":"upwards arrow with tip rightwards","short":"up arrow with tip right"},"mathspeak":{"default":"up-arrow with tip right","sbrief":"U arrow with tip right"}},"key":"21B1"},{"category":"So","mappings":{"default":{"default":"downwards arrow with tip leftwards","short":"down arrow with tip left"},"mathspeak":{"default":"down-arrow with tip left","sbrief":"D arrow with tip left"}},"key":"21B2"},{"category":"So","mappings":{"default":{"default":"downwards arrow with tip rightwards","short":"down arrow with tip right"},"mathspeak":{"default":"down-arrow with tip right","sbrief":"D arrow with tip right"}},"key":"21B3"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with corner downwards","short":"right arrow with corner down"},"mathspeak":{"default":"right-arrow with corner down","sbrief":"R arrow with corner down"}},"key":"21B4"},{"category":"So","mappings":{"default":{"default":"downwards arrow with corner leftwards","short":"down arrow with corner left"},"mathspeak":{"default":"down-arrow with corner left","sbrief":"D arrow with corner left"}},"key":"21B5"},{"category":"So","mappings":{"default":{"default":"anticlockwise top semicircle arrow"}},"key":"21B6"},{"category":"So","mappings":{"default":{"default":"clockwise top semicircle arrow"}},"key":"21B7"},{"category":"So","mappings":{"default":{"default":"north west arrow to long bar","short":"up left arrow to long bar"},"mathspeak":{"default":"up left-arrow to long bar","sbrief":"U L arrow to long bar"}},"key":"21B8"},{"category":"So","mappings":{"default":{"default":"leftwards arrow to bar over rightwards arrow to bar","short":"left arrow to bar over right arrow to bar"},"mathspeak":{"default":"left-arrow to bar over right-arrow to bar","sbrief":"L arrow to bar over R arrow to bar"}},"key":"21B9"},{"category":"So","mappings":{"default":{"default":"anticlockwise open circle arrow"}},"key":"21BA"},{"category":"So","mappings":{"default":{"default":"clockwise open circle arrow"}},"key":"21BB"},{"category":"So","mappings":{"default":{"default":"rightwards arrow over leftwards arrow","short":"right arrow over left arrow"},"mathspeak":{"default":"right-arrow over left-arrow","sbrief":"R arrow over L arrow"}},"key":"21C4"},{"category":"So","mappings":{"default":{"default":"upwards arrow leftwards of downwards arrow","short":"up arrow left of down arrow"},"mathspeak":{"default":"up-arrow left of down-arrow","sbrief":"U arrow L of D arrow"}},"key":"21C5"},{"category":"So","mappings":{"default":{"default":"leftwards arrow over rightwards arrow","short":"left arrow over right arrow"},"mathspeak":{"default":"left-arrow over right-arrow","sbrief":"L arrow over R arrow"}},"key":"21C6"},{"category":"So","mappings":{"default":{"default":"leftwards paired arrows","short":"left paired arrows"},"mathspeak":{"sbrief":"L paired arrows"}},"key":"21C7"},{"category":"So","mappings":{"default":{"default":"upwards paired arrows","short":"up paired arrows"},"mathspeak":{"sbrief":"U paired arrows"}},"key":"21C8"},{"category":"So","mappings":{"default":{"default":"rightwards paired arrows","short":"right paired arrows"},"mathspeak":{"sbrief":"R paired arrows"}},"key":"21C9"},{"category":"So","mappings":{"default":{"default":"downwards paired arrows","short":"down paired arrows"},"mathspeak":{"sbrief":"D paired arrows"}},"key":"21CA"},{"category":"So","mappings":{"default":{"default":"leftwards double arrow with stroke","short":"left double arrow with stroke"},"mathspeak":{"sbrief":"L double arrow with stroke"}},"key":"21CD"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow with stroke"},"mathspeak":{"sbrief":"L R double arrow with stroke"}},"key":"21CE"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow with stroke","short":"right double arrow with stroke"},"mathspeak":{"sbrief":"R double arrow with stroke"}},"key":"21CF"},{"category":"So","mappings":{"default":{"default":"leftwards double arrow","short":"left double arrow"},"mathspeak":{"sbrief":"L double arrow"}},"key":"21D0"},{"category":"So","mappings":{"default":{"default":"upwards double arrow","short":"up double arrow"},"mathspeak":{"sbrief":"U double arrow"}},"key":"21D1"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow","short":"right double arrow"},"mathspeak":{"sbrief":"R double arrow"}},"key":"21D2"},{"category":"So","mappings":{"default":{"default":"downwards double arrow","short":"down double arrow"},"mathspeak":{"sbrief":"d double arrow"}},"key":"21D3"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow"},"mathspeak":{"sbrief":"L R double arrow"}},"key":"21D4"},{"category":"So","mappings":{"default":{"default":"up down double arrow"},"mathspeak":{"sbrief":"U d double arrow"}},"key":"21D5"},{"category":"So","mappings":{"default":{"default":"north west double arrow","short":"up left double arrow"},"mathspeak":{"sbrief":"U L double arrow"}},"key":"21D6"},{"category":"So","mappings":{"default":{"default":"north east double arrow","short":"up right double arrow"},"mathspeak":{"sbrief":"U R double arrow"}},"key":"21D7"},{"category":"So","mappings":{"default":{"default":"south east double arrow","short":"down right double arrow"},"mathspeak":{"sbrief":"d R double arrow"}},"key":"21D8"},{"category":"So","mappings":{"default":{"default":"south west double arrow","short":"down left double arrow"},"mathspeak":{"sbrief":"d L double arrow"}},"key":"21D9"},{"category":"So","mappings":{"default":{"default":"leftwards triple arrow","short":"left triple arrow"},"mathspeak":{"sbrief":"L triple arrow"}},"key":"21DA"},{"category":"So","mappings":{"default":{"default":"rightwards triple arrow","short":"right triple arrow"},"mathspeak":{"sbrief":"r triple arrow"}},"key":"21DB"},{"category":"So","mappings":{"default":{"default":"leftwards squiggle arrow","short":"left squiggle arrow"},"mathspeak":{"sbrief":"L squiggle arrow"}},"key":"21DC"},{"category":"So","mappings":{"default":{"default":"rightwards squiggle arrow","short":"right squiggle arrow"},"mathspeak":{"sbrief":"r squiggle arrow"}},"key":"21DD"},{"category":"So","mappings":{"default":{"default":"upwards arrow with double stroke","short":"up arrow with double stroke"},"mathspeak":{"default":"up-arrow with double stroke","sbrief":"U arrow with double stroke"}},"key":"21DE"},{"category":"So","mappings":{"default":{"default":"downwards arrow with double stroke","short":"down arrow with double stroke"},"mathspeak":{"default":"down-arrow with double stroke","sbrief":"D arrow with double stroke"}},"key":"21DF"},{"category":"So","mappings":{"default":{"default":"leftwards dasheD arrow","short":"left dasheD arrow"},"mathspeak":{"sbrief":"L dasheD arrow"}},"key":"21E0"},{"category":"So","mappings":{"default":{"default":"upwards dasheD arrow","short":"up dasheD arrow"},"mathspeak":{"sbrief":"U dasheD arrow"}},"key":"21E1"},{"category":"So","mappings":{"default":{"default":"rightwards dasheD arrow","short":"right dasheD arrow"},"mathspeak":{"sbrief":"r dasheD arrow"}},"key":"21E2"},{"category":"So","mappings":{"default":{"default":"downwards dasheD arrow","short":"down dasheD arrow"},"mathspeak":{"sbrief":"d dasheD arrow"}},"key":"21E3"},{"category":"So","mappings":{"default":{"default":"leftwards arrow to bar","short":"left arrow to bar"},"mathspeak":{"default":"left-arrow to bar","sbrief":"L arrow to bar"}},"key":"21E4"},{"category":"So","mappings":{"default":{"default":"rightwards arrow to bar","short":"right arrow to bar"},"mathspeak":{"default":"right-arrow to bar","sbrief":"R arrow to bar"}},"key":"21E5"},{"category":"So","mappings":{"default":{"default":"leftwards white arrow","short":"white left arrow"},"mathspeak":{"default":"white left-arrow","sbrief":"white L arrow"}},"key":"21E6"},{"category":"So","mappings":{"default":{"default":"upwards white arrow","short":"white up arrow"},"mathspeak":{"default":"white up-arrow","sbrief":"white U arrow"}},"key":"21E7"},{"category":"So","mappings":{"default":{"default":"rightwards white arrow","short":"white right arrow"},"mathspeak":{"default":"white right-arrow","sbrief":"white R arrow"}},"key":"21E8"},{"category":"So","mappings":{"default":{"default":"downwards white arrow","short":"white down arrow"},"mathspeak":{"default":"white down-arrow","sbrief":"white D arrow"}},"key":"21E9"},{"category":"So","mappings":{"default":{"default":"upwards white arrow from bar","short":"white up arrow from bar"},"mathspeak":{"default":"white up-arrow from bar","sbrief":"white U arrow from bar"}},"key":"21EA"},{"category":"So","mappings":{"default":{"default":"upwards white arrow on pedestal","alternative":"up white arrow on pedestal","short":"white up arrow on pedestal"},"mathspeak":{"default":"white up-arrow on pedestal","sbrief":"white U arrow on pedestal"}},"key":"21EB"},{"category":"So","mappings":{"default":{"default":"upwards white arrow on pedestal with horizontal bar","alternative":"up white arrow on pedestal with horizontal bar","short":"white up arrow on pedestal with horizontal bar"},"mathspeak":{"default":"white up-arrow on pedestal with horizontal bar","sbrief":"white U arrow on pedestal with horizontal bar"}},"key":"21EC"},{"category":"So","mappings":{"default":{"default":"upwards white arrow on pedestal with vertical bar","alternative":"up white arrow on pedestal with vertical bar","short":"white up arrow on pedestal with vertical bar"},"mathspeak":{"default":"white up-arrow on pedestal with vertical bar","sbrief":"white U arrow on pedestal with vertical bar"}},"key":"21ED"},{"category":"So","mappings":{"default":{"default":"upwards white double arrow","alternative":"up white double arrow","short":"white double up arrow"},"mathspeak":{"default":"white double up-arrow","sbrief":"white double U arrow"}},"key":"21EE"},{"category":"So","mappings":{"default":{"default":"upwards white double arrow on pedestal","alternative":"up white double arrow on pedestal","short":"white double up arrow on pedestal"},"mathspeak":{"default":"white double up-arrow on pedestal","sbrief":"white double U arrow on pedestal"}},"key":"21EF"},{"category":"So","mappings":{"default":{"default":"rightwards white arrow from wall","alternative":"right white arrow from wall","short":"white right arrow from wall"},"mathspeak":{"default":"white right-arrow from wall","sbrief":"white R arrow from wall"}},"key":"21F0"},{"category":"So","mappings":{"default":{"default":"north west arrow to corner"}},"key":"21F1"},{"category":"So","mappings":{"default":{"default":"south east arrow to corner"}},"key":"21F2"},{"category":"So","mappings":{"default":{"default":"up down white arrow"},"mathspeak":{"sbrief":"U d white arrow"}},"key":"21F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with small circle"},"mathspeak":{"default":"right-arrow with small circle","sbrief":"R arrow with small circle"}},"key":"21F4"},{"category":"Sm","mappings":{"default":{"default":"down arrow leftwards of upwards arrow","short":"down arrow left of up arrow"},"mathspeak":{"default":"down-arrow left of up-arrow","sbrief":"D arrow l of U arrow"}},"key":"21F5"},{"category":"Sm","mappings":{"default":{"default":"three rightwards arrows","short":"three right arrows"},"mathspeak":{"default":"three right-arrows","sbrief":"three R arrows"}},"key":"21F6"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with vertical stroke","short":"left arrow with vertical stroke"},"mathspeak":{"default":"left-arrow with vertical stroke","sbrief":"L arrow with vertical stroke"}},"key":"21F7"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with vertical stroke","short":"right arrow with vertical stroke"},"mathspeak":{"default":"right-arrow with vertical stroke","sbrief":"R arrow with vertical stroke"}},"key":"21F8"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with vertical stroke"},"mathspeak":{"default":"left-right-arrow with vertical stroke","sbrief":"L R arrow with vertical stroke"}},"key":"21F9"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with double vertical stroke","short":"left arrow with double vertical stroke"},"mathspeak":{"default":"left-arrow with double vertical stroke","sbrief":"L arrow with double vertical stroke"}},"key":"21FA"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with double vertical stroke","short":"right arrow with double vertical stroke"},"mathspeak":{"default":"right-arrow with double vertical stroke","sbrief":"R arrow with double vertical stroke"}},"key":"21FB"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with double vertical stroke"},"mathspeak":{"default":"left-right-arrow with double vertical stroke","sbrief":"L R arrow with double vertical stroke"}},"key":"21FC"},{"category":"Sm","mappings":{"default":{"default":"leftwards open headed arrow","short":"left open headed arrow"},"mathspeak":{"sbrief":"l open headed arrow"}},"key":"21FD"},{"category":"Sm","mappings":{"default":{"default":"rightwards open headed arrow","short":"right open headed arrow"},"mathspeak":{"sbrief":"r open headed arrow"}},"key":"21FE"},{"category":"Sm","mappings":{"default":{"default":"left right open headed arrow"},"mathspeak":{"sbrief":"L R open headed arrow"}},"key":"21FF"},{"category":"So","mappings":{"default":{"default":"electric arrow"}},"key":"2301"},{"category":"So","mappings":{"default":{"default":"up arrowhead"},"mathspeak":{"default":"up-arrowhead","sbrief":"U arrowhead"}},"key":"2303"},{"category":"So","mappings":{"default":{"default":"down arrowhead"},"mathspeak":{"default":"down-arrowhead","sbrief":"D arrowhead"}},"key":"2304"},{"category":"So","mappings":{"default":{"default":"up arrowhead between two horizontal bars","alternative":"enter key"},"mathspeak":{"default":"up-arrowhead between two horizontal bars","sbrief":"U arrowhead between two horizontal bars"}},"key":"2324"},{"category":"So","mappings":{"default":{"default":"broken circle with northwest arrow"}},"key":"238B"},{"category":"So","mappings":{"default":{"default":"heavy wide headed rightwards arrow","short":"heavy wide headed right arrow"},"mathspeak":{"default":"heavy wide headed right-arrow","sbrief":"heavy wide headed R arrow"}},"key":"2794"},{"category":"So","mappings":{"default":{"default":"heavy south east arrow","short":"heavy down right arrow"},"mathspeak":{"default":"heavy down right-arrow","sbrief":"heavy d R arrow"}},"key":"2798"},{"category":"So","mappings":{"default":{"default":"heavy rightwards arrow","short":"heavy right arrow"},"mathspeak":{"default":"heavy right-arrow","sbrief":"heavy R arrow"}},"key":"2799"},{"category":"So","mappings":{"default":{"default":"heavy north east arrow","short":"heavy up right arrow"},"mathspeak":{"default":"heavy up right-arrow","sbrief":"heavy U R arrow"}},"key":"279A"},{"category":"So","mappings":{"default":{"default":"drafting point rightwards arrow","short":"drafting point right arrow"},"mathspeak":{"default":"drafting point right-arrow","sbrief":"drafting point R arrow"}},"key":"279B"},{"category":"So","mappings":{"default":{"default":"heavy round tipped rightwards arrow","short":"heavy round tipped right arrow"},"mathspeak":{"default":"heavy round tipped right-arrow","sbrief":"heavy round tipped R arrow"}},"key":"279C"},{"category":"So","mappings":{"default":{"default":"triangle headed rightwards arrow","short":"triangle headed right arrow"},"mathspeak":{"default":"triangle headed right-arrow","sbrief":"triangle headed R arrow"}},"key":"279D"},{"category":"So","mappings":{"default":{"default":"heavy triangle headed rightwards arrow","short":"heavy triangle headed right arrow"},"mathspeak":{"default":"heavy triangle headed right-arrow","sbrief":"heavy triangle headed R arrow"}},"key":"279E"},{"category":"So","mappings":{"default":{"default":"dashed triangle headed rightwards arrow","short":"dashed triangle headed right arrow"},"mathspeak":{"default":"dashed triangle headed right-arrow","sbrief":"dashed triangle headed R arrow"}},"key":"279F"},{"category":"So","mappings":{"default":{"default":"heavy dashed triangle headed rightwards arrow","short":"heavy dashed triangle headed right arrow"},"mathspeak":{"default":"heavy dashed triangle headed right-arrow","sbrief":"heavy dashed triangle headed R arrow"}},"key":"27A0"},{"category":"So","mappings":{"default":{"default":"black rightwards arrow","short":"black right arrow"},"mathspeak":{"default":"black right-arrow","sbrief":"black R arrow"}},"key":"27A1"},{"category":"So","mappings":{"default":{"default":"three d top lighted rightwards arrowhead","short":"three d top lighted right arrowhead"},"mathspeak":{"default":"three d top lighted right-arrowhead","sbrief":"three d top lighted R arrowhead"}},"key":"27A2"},{"category":"So","mappings":{"default":{"default":"three d bottom lighted rightwards arrowhead","short":"three d bottom lighted right arrowhead"},"mathspeak":{"default":"three d bottom lighted right-arrowhead","sbrief":"three d bottom lighted R arrowhead"}},"key":"27A3"},{"category":"So","mappings":{"default":{"default":"black rightwards arrowhead","short":"black right arrowhead"},"mathspeak":{"default":"black right-arrowhead","sbrief":"black R arrowhead"}},"key":"27A4"},{"category":"So","mappings":{"default":{"default":"heavy black curved downwards and rightwards arrow","short":"heavy black curved down and right arrow"},"mathspeak":{"default":"heavy black curved down and right-arrow","sbrief":"heavy black curved d and R arrow"}},"key":"27A5"},{"category":"So","mappings":{"default":{"default":"heavy black curved upwards and rightwards arrow","short":"heavy black curved up and right arrow"},"mathspeak":{"default":"heavy black curved up and right-arrow","sbrief":"heavy black curved U and R arrow"}},"key":"27A6"},{"category":"So","mappings":{"default":{"default":"squat black rightwards arrow","short":"squat black right arrow"},"mathspeak":{"default":"squat black right-arrow","sbrief":"squat black R arrow"}},"key":"27A7"},{"category":"So","mappings":{"default":{"default":"heavy concave pointed black rightwards arrow","short":"heavy concave pointed black right arrow"},"mathspeak":{"default":"heavy concave pointed black right-arrow","sbrief":"heavy concave pointed black R arrow"}},"key":"27A8"},{"category":"So","mappings":{"default":{"default":"right shaded white rightwards arrow","short":"right shaded white right arrow"},"mathspeak":{"default":"right shaded white right-arrow","sbrief":"right shaded white R arrow"}},"key":"27A9"},{"category":"So","mappings":{"default":{"default":"left shaded white rightwards arrow","short":"left shaded white right arrow"},"mathspeak":{"default":"left shaded white right-arrow","sbrief":"left shaded white R arrow"}},"key":"27AA"},{"category":"So","mappings":{"default":{"default":"back tilted shadowed white rightwards arrow","short":"back tilted shadowed white right arrow"},"mathspeak":{"default":"back tilted shadowed white right-arrow","sbrief":"back tilted shadowed white R arrow"}},"key":"27AB"},{"category":"So","mappings":{"default":{"default":"front tilted shadowed white rightwards arrow","short":"front tilted shadowed white right arrow"},"mathspeak":{"default":"front tilted shadowed white right-arrow","sbrief":"front tilted shadowed white R arrow"}},"key":"27AC"},{"category":"So","mappings":{"default":{"default":"heavy lower right shadowed white rightwards arrow","short":"heavy lower right shadowed white right arrow"},"mathspeak":{"default":"heavy lower right shadowed white right-arrow","sbrief":"heavy lower right shadowed white R arrow"}},"key":"27AD"},{"category":"So","mappings":{"default":{"default":"heavy upper right shadowed white rightwards arrow","short":"heavy upper right shadowed white right arrow"},"mathspeak":{"default":"heavy upper right shadowed white right-arrow","sbrief":"heavy upper right shadowed white R arrow"}},"key":"27AE"},{"category":"So","mappings":{"default":{"default":"notched lower right shadowed white rightwards arrow","short":"notched lower right shadowed white right arrow"},"mathspeak":{"default":"notched lower right shadowed white right-arrow","sbrief":"notched lower right shadowed white R arrow"}},"key":"27AF"},{"category":"So","mappings":{"default":{"default":"notched upper right shadowed white rightwards arrow","short":"notched upper right shadowed white right arrow"},"mathspeak":{"default":"notched upper right shadowed white right-arrow","sbrief":"notched upper right shadowed white R arrow"}},"key":"27B1"},{"category":"So","mappings":{"default":{"default":"circled heavy white rightwards arrow","short":"circled heavy white right arrow"},"mathspeak":{"default":"circled heavy white right-arrow","sbrief":"circled heavy white R arrow"}},"key":"27B2"},{"category":"So","mappings":{"default":{"default":"white feathered rightwards arrow","short":"white feathered right arrow"},"mathspeak":{"default":"white feathered right-arrow","sbrief":"white feathered R arrow"}},"key":"27B3"},{"category":"So","mappings":{"default":{"default":"black feathered south east arrow","short":"black feathered down right arrow"},"mathspeak":{"default":"black feathered down right-arrow","sbrief":"black feathered d R arrow"}},"key":"27B4"},{"category":"So","mappings":{"default":{"default":"black feathered rightwards arrow","short":"black feathered right arrow"},"mathspeak":{"default":"black feathered right-arrow","sbrief":"black feathered R arrow"}},"key":"27B5"},{"category":"So","mappings":{"default":{"default":"black feathered north east arrow","short":"black feathered up right arrow"},"mathspeak":{"default":"black feathered up right-arrow","sbrief":"black feathered U R arrow"}},"key":"27B6"},{"category":"So","mappings":{"default":{"default":"heavy black feathered south east arrow","short":"heavy black feathered down right arrow"},"mathspeak":{"default":"heavy black feathered down right-arrow","sbrief":"heavy black feathered d R arrow"}},"key":"27B7"},{"category":"So","mappings":{"default":{"default":"heavy black feathered rightwards arrow","short":"heavy black feathered right arrow"},"mathspeak":{"default":"heavy black feathered right-arrow","sbrief":"heavy black feathered R arrow"}},"key":"27B8"},{"category":"So","mappings":{"default":{"default":"heavy black feathered north east arrow","short":"heavy black feathered up right arrow"},"mathspeak":{"default":"heavy black feathered up right-arrow","sbrief":"heavy black feathered U R arrow"}},"key":"27B9"},{"category":"So","mappings":{"default":{"default":"teardrop barbed rightwards arrow","short":"teardrop barbed right arrow"},"mathspeak":{"default":"teardrop barbed right-arrow","sbrief":"teardrop barbed R arrow"}},"key":"27BA"},{"category":"So","mappings":{"default":{"default":"heavy teardrop shanked rightwards arrow","short":"heavy teardrop shanked right arrow"},"mathspeak":{"default":"heavy teardrop shanked right-arrow","sbrief":"heavy teardrop shanked R arrow"}},"key":"27BB"},{"category":"So","mappings":{"default":{"default":"wedge tailed rightwards arrow","short":"wedge tailed right arrow"},"mathspeak":{"default":"wedge tailed right-arrow","sbrief":"wedge tailed R arrow"}},"key":"27BC"},{"category":"So","mappings":{"default":{"default":"heavy wedge tailed rightwards arrow","short":"heavy wedge tailed right arrow"},"mathspeak":{"default":"heavy wedge tailed right-arrow","sbrief":"heavy wedge tailed R arrow"}},"key":"27BD"},{"category":"So","mappings":{"default":{"default":"open outlined rightwards arrow","short":"open outlined right arrow"},"mathspeak":{"default":"open outlined right-arrow","sbrief":"open outlined R arrow"}},"key":"27BE"},{"category":"Sm","mappings":{"default":{"default":"upwards quadruple arrow","short":"up quadruple arrow"},"mathspeak":{"sbrief":"U quadruple arrow"}},"key":"27F0"},{"category":"Sm","mappings":{"default":{"default":"downwards quadruple arrow","short":"down quadruple arrow"},"mathspeak":{"sbrief":"d quadrule arrow"}},"key":"27F1"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise gapped circle arrow"}},"key":"27F2"},{"category":"Sm","mappings":{"default":{"default":"clockwise gapped circle arrow"}},"key":"27F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with circled plus"},"mathspeak":{"default":"right-arrow with circled plus","sbrief":"R arrow with circled plus"}},"key":"27F4"},{"category":"Sm","mappings":{"default":{"default":"long leftwards arrow","short":"long left arrow"},"mathspeak":{"default":"long left-arrow","sbrief":"long L arrow"}},"key":"27F5"},{"category":"Sm","mappings":{"default":{"default":"long rightwards arrow","short":"long right arrow"},"mathspeak":{"default":"long right-arrow","sbrief":"long R arrow"}},"key":"27F6"},{"category":"Sm","mappings":{"default":{"default":"long left right arrow"},"mathspeak":{"default":"long left-right-arrow","sbrief":"long L R arrow"}},"key":"27F7"},{"category":"Sm","mappings":{"default":{"default":"long leftwards double arrow","short":"long left double arrow"},"mathspeak":{"sbrief":"long l double arrow"}},"key":"27F8"},{"category":"Sm","mappings":{"default":{"default":"long rightwards double arrow","short":"long right double arrow"},"mathspeak":{"sbrief":"long R double arrow"}},"key":"27F9"},{"category":"Sm","mappings":{"default":{"default":"long left right double arrow"},"mathspeak":{"sbrief":"long L R double arrow"}},"key":"27FA"},{"category":"Sm","mappings":{"default":{"default":"long leftwards arrow from bar","short":"long left arrow from bar"},"mathspeak":{"default":"long left-arrow from bar","sbrief":"long L arrow from bar"}},"key":"27FB"},{"category":"Sm","mappings":{"default":{"default":"long rightwards arrow from bar","short":"long right arrow from bar"},"mathspeak":{"default":"long right-arrow from bar","sbrief":"long R arrow from bar"}},"key":"27FC"},{"category":"Sm","mappings":{"default":{"default":"long leftwards double arrow from bar","short":"long left double arrow from bar"},"mathspeak":{"sbrief":"long l double arrow from bar"}},"key":"27FD"},{"category":"Sm","mappings":{"default":{"default":"long rightwards double arrow from bar","short":"long right double arrow from bar"},"mathspeak":{"sbrief":"long R double arrow from bar"}},"key":"27FE"},{"category":"Sm","mappings":{"default":{"default":"long rightwards squiggle arrow","short":"long right squiggle arrow"},"mathspeak":{"sbrief":"long r squiggle arrow"}},"key":"27FF"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with vertical stroke","alternative":"right two headed arrow with vertical stroke","short":"two headed right arrow with vertical stroke"},"mathspeak":{"default":"two headed right-arrow with vertical stroke","sbrief":"two headed R arrow with vertical stroke"}},"key":"2900"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with double vertical stroke","alternative":"right two headed arrow with double vertical stroke","short":"two headed right arrow with double vertical stroke"},"mathspeak":{"default":"two headed right-arrow with double vertical stroke","sbrief":"two headed R arrow with double vertical stroke"}},"key":"2901"},{"category":"Sm","mappings":{"default":{"default":"leftwards double arrow with vertical stroke","alternative":"left double arrow with vertical stroke","short":"double left arrow with vertical stroke"},"mathspeak":{"default":"double left-arrow with vertical stroke","sbrief":"double L arrow with vertical stroke"}},"key":"2902"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow with vertical stroke","alternative":"right double arrow with vertical stroke","short":"double right arrow with vertical stroke"},"mathspeak":{"default":"double right-arrow with vertical stroke","sbrief":"double R arrow with vertical stroke"}},"key":"2903"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow with vertical stroke","short":"double left right arrow with vertical stroke"},"mathspeak":{"default":"double left-right-arrow with vertical stroke","sbrief":"double L R arrow with vertical stroke"}},"key":"2904"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow from bar","alternative":"right two headed arrow from bar","short":"two headed right arrow from bar"},"mathspeak":{"default":"two headed right-arrow from bar","sbrief":"two headed R arrow from bar"}},"key":"2905"},{"category":"Sm","mappings":{"default":{"default":"leftwards double arrow from bar","alternative":"left double arrow from bar","short":"double left arrow from bar"},"mathspeak":{"default":"double left-arrow from bar","sbrief":"double L arrow from bar"}},"key":"2906"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow from bar","alternative":"right double arrow from bar","short":"double right arrow from bar"},"mathspeak":{"default":"double right-arrow from bar","sbrief":"double R arrow from bar"}},"key":"2907"},{"category":"Sm","mappings":{"default":{"default":"downwards arrow with horizontal stroke","alternative":"down arrow with horizontal stroke","short":"arrow down with horizontal stroke"}},"key":"2908"},{"category":"Sm","mappings":{"default":{"default":"upwards arrow with horizontal stroke","short":"up arrow with horizontal stroke"},"mathspeak":{"default":"up-arrow with horizontal stroke","sbrief":"U arrow with horizontal stroke"}},"key":"2909"},{"category":"Sm","mappings":{"default":{"default":"upwards triple arrow","short":"up triple arrow"},"mathspeak":{"sbrief":"U triple arrow"}},"key":"290A"},{"category":"Sm","mappings":{"default":{"default":"downwards triple arrow","short":"down triple arrow"},"mathspeak":{"sbrief":"d triple arrow"}},"key":"290B"},{"category":"Sm","mappings":{"default":{"default":"leftwards double dash arrow","short":"left double dash arrow"},"mathspeak":{"sbrief":"l double dash arrow"}},"key":"290C"},{"category":"Sm","mappings":{"default":{"default":"rightwards double dash arrow","short":"right double dash arrow"},"mathspeak":{"sbrief":"R double dash arrow"}},"key":"290D"},{"category":"Sm","mappings":{"default":{"default":"leftwards triple dash arrow","short":"left triple dash arrow"},"mathspeak":{"sbrief":"l triple dash arrow"}},"key":"290E"},{"category":"Sm","mappings":{"default":{"default":"rightwards triple dash arrow","short":"right triple dash arrow"},"mathspeak":{"sbrief":"r triple dash arrow"}},"key":"290F"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed triple dash arrow","short":"right two headed triple dash arrow"},"mathspeak":{"sbrief":"r two headed triple dash arrow"}},"key":"2910"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with dotted stem","short":"right arrow with dotted stem"},"mathspeak":{"default":"right-arrow with dotted stem","sbrief":"R arrow with dotted stem"}},"key":"2911"},{"category":"Sm","mappings":{"default":{"default":"upwards arrow to bar","short":"up arrow to bar"},"mathspeak":{"default":"up-arrow to bar","sbrief":"U arrow to bar"}},"key":"2912"},{"category":"Sm","mappings":{"default":{"default":"downwards arrow to bar","short":"down arrow to bar"},"mathspeak":{"default":"down-arrow to bar","sbrief":"D arrow to bar"}},"key":"2913"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with tail with vertical stroke","short":"right arrow with tail with vertical stroke"},"mathspeak":{"default":"right-arrow with tail with vertical stroke","sbrief":"R arrow with tail with vertical stroke"}},"key":"2914"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with tail with double vertical stroke","short":"right arrow with tail with double vertical stroke"},"mathspeak":{"default":"right-arrow with tail with double vertical stroke","sbrief":"R arrow with tail with double vertical stroke"}},"key":"2915"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with tail","short":"right two headed arrow with tail"},"mathspeak":{"sbrief":"r two headed arrow with tail"}},"key":"2916"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with tail with vertical stroke","short":"right two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with vertical stroke"}},"key":"2917"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with tail with double vertical stroke","short":"right two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with double vertical stroke"}},"key":"2918"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow tail","short":"left arrow tail"},"mathspeak":{"default":"left-arrow tail","sbrief":"L arrow tail"}},"key":"2919"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow tail","short":"right arrow tail"},"mathspeak":{"default":"right-arrow tail","sbrief":"R arrow tail"}},"key":"291A"},{"category":"Sm","mappings":{"default":{"default":"leftwards double arrow tail","short":"left double arrow tail"},"mathspeak":{"sbrief":"l double arrow tail"}},"key":"291B"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow tail","short":"right double arrow tail"},"mathspeak":{"sbrief":"R double arrow tail"}},"key":"291C"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow to black diamond","short":"left arrow to black diamond"},"mathspeak":{"default":"left-arrow to black diamond","sbrief":"L arrow to black diamond"}},"key":"291D"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow to black diamond","short":"right arrow to black diamond"},"mathspeak":{"default":"right-arrow to black diamond","sbrief":"R arrow to black diamond"}},"key":"291E"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow from bar to black diamond","short":"left arrow from bar to black diamond"},"mathspeak":{"default":"left-arrow from bar to black diamond","sbrief":"L arrow from bar to black diamond"}},"key":"291F"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow from bar to black diamond","short":"right arrow from bar to black diamond"},"mathspeak":{"default":"right-arrow from bar to black diamond","sbrief":"R arrow from bar to black diamond"}},"key":"2920"},{"category":"Sm","mappings":{"default":{"default":"north west and south east arrow"}},"key":"2921"},{"category":"Sm","mappings":{"default":{"default":"north east and south west arrow"}},"key":"2922"},{"category":"Sm","mappings":{"default":{"default":"north west arrow with hook"}},"key":"2923"},{"category":"Sm","mappings":{"default":{"default":"north east arrow with hook"}},"key":"2924"},{"category":"Sm","mappings":{"default":{"default":"south east arrow with hook"}},"key":"2925"},{"category":"Sm","mappings":{"default":{"default":"south west arrow with hook"}},"key":"2926"},{"category":"Sm","mappings":{"default":{"default":"north west arrow and north east arrow"}},"key":"2927"},{"category":"Sm","mappings":{"default":{"default":"north east arrow and south east arrow"}},"key":"2928"},{"category":"Sm","mappings":{"default":{"default":"south east arrow and south west arrow"}},"key":"2929"},{"category":"Sm","mappings":{"default":{"default":"south west arrow and north west arrow"}},"key":"292A"},{"category":"Sm","mappings":{"default":{"default":"south east arrow crossing north east arrow"}},"key":"292D"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing south east arrow"}},"key":"292E"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing north east arrow"}},"key":"292F"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing south east arrow"}},"key":"2930"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing north west arrow"}},"key":"2931"},{"category":"Sm","mappings":{"default":{"default":"north west arrow crossing north east arrow"}},"key":"2932"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly right"}},"key":"2933"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing rightwards then curving upwards","short":"arrow pointing right then curving up"}},"key":"2934"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing rightwards then curving downwards","short":"arrow pointing right then curving down"}},"key":"2935"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing downwards then curving leftwards","short":"arrow pointing down then curving left"}},"key":"2936"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing downwards then curving rightwards","short":"arrow pointing down then curving right"}},"key":"2937"},{"category":"Sm","mappings":{"default":{"default":"right side arc clockwise arrow"},"mathspeak":{"sbrief":"r side arc clockwise arrow"}},"key":"2938"},{"category":"Sm","mappings":{"default":{"default":"left side arc anticlockwise arrow"},"mathspeak":{"sbrief":"l side arc anticlockwise arrow"}},"key":"2939"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow"}},"key":"293A"},{"category":"Sm","mappings":{"default":{"default":"bottom arc anticlockwise arrow"}},"key":"293B"},{"category":"Sm","mappings":{"default":{"default":"top arc clockwise arrow with minus"}},"key":"293C"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow with plus"}},"key":"293D"},{"category":"Sm","mappings":{"default":{"default":"lower right semicircular clockwise arrow","short":"down right semicircular clockwise arrow"},"mathspeak":{"sbrief":"d r semicircular clockwise arrow"}},"key":"293E"},{"category":"Sm","mappings":{"default":{"default":"lower left semicircular anticlockwise arrow","short":"down left semicircular anticlockwise arrow"},"mathspeak":{"sbrief":"d l semicircular anticlockwise arrow"}},"key":"293F"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise closed circle arrow"}},"key":"2940"},{"category":"Sm","mappings":{"default":{"default":"clockwise closed circle arrow"}},"key":"2941"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above short leftwards arrow","short":"right arrow above short left arrow"},"mathspeak":{"default":"right-arrow above short left-arrow","sbrief":"R arrow above short L arrow"}},"key":"2942"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above short rightwards arrow","short":"left arrow above short right arrow"},"mathspeak":{"default":"left-arrow above short right-arrow","sbrief":"L arrow above short R arrow"}},"key":"2943"},{"category":"Sm","mappings":{"default":{"default":"short rightwards arrow above leftwards arrow","short":"short right arrow above left arrow"},"mathspeak":{"default":"short right-arrow above left-arrow","sbrief":"short R arrow above L arrow"}},"key":"2944"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with plus below","short":"right arrow with plus below"},"mathspeak":{"default":"right-arrow with plus below","sbrief":"R arrow with plus below"}},"key":"2945"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with plus below","short":"left arrow with plus below"},"mathspeak":{"default":"left-arrow with plus below","sbrief":"L arrow with plus below"}},"key":"2946"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow through x","short":"right arrow through x"},"mathspeak":{"default":"right-arrow through x","sbrief":"R arrow through x"}},"key":"2947"},{"category":"Sm","mappings":{"default":{"default":"left right arrow through small circle"},"mathspeak":{"default":"left-right-arrow through small circle","sbrief":"L R arrow through small circle"}},"key":"2948"},{"category":"Sm","mappings":{"default":{"default":"upwards two headed arrow from small circle","short":"up two headed arrow from small circle"},"mathspeak":{"sbrief":"U two headed arrow from small circle"}},"key":"2949"},{"category":"Sm","mappings":{"default":{"default":"right double arrow with rounded head"},"mathspeak":{"sbrief":"R double arrow with rounded head"}},"key":"2970"},{"category":"Sm","mappings":{"default":{"default":"equals sign above rightwards arrow","short":"equals sign above right arrow"},"mathspeak":{"default":"equals sign above right-arrow","sbrief":"equals sign above R arrow"}},"key":"2971"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above rightwards arrow","short":"tilde operator above right arrow"},"mathspeak":{"default":"tilde operator above right-arrow","sbrief":"tilde operator above R arrow"}},"key":"2972"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above tilde operator","short":"left arrow above tilde operator"},"mathspeak":{"default":"left-arrow above tilde operator","sbrief":"L arrow above tilde operator"}},"key":"2973"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above tilde operator","short":"right arrow above tilde operator"},"mathspeak":{"default":"right-arrow above tilde operator","sbrief":"R arrow above tilde operator"}},"key":"2974"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above almost equals","short":"right arrow above almost equals"},"mathspeak":{"default":"right-arrow above almost equals","sbrief":"R arrow above almost equals"}},"key":"2975"},{"category":"Sm","mappings":{"default":{"default":"less than above leftwards arrow","short":"less than above left arrow"},"mathspeak":{"default":"less than above left-arrow","sbrief":"less than above L arrow"}},"key":"2976"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow through less than","short":"left arrow through less than"},"mathspeak":{"default":"left-arrow through less than","sbrief":"L arrow through less than"}},"key":"2977"},{"category":"Sm","mappings":{"default":{"default":"greater than above rightwards arrow","short":"greater than above right arrow"},"mathspeak":{"default":"greater than above right-arrow","sbrief":"greater than above R arrow"}},"key":"2978"},{"category":"Sm","mappings":{"default":{"default":"subset above rightwards arrow","short":"subset above right arrow"},"mathspeak":{"default":"subset above right-arrow","sbrief":"subset above R arrow"}},"key":"2979"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow through subset","short":"left arrow through subset"},"mathspeak":{"default":"left-arrow through subset","sbrief":"L arrow through subset"}},"key":"297A"},{"category":"Sm","mappings":{"default":{"default":"superset above leftwards arrow","short":"superset above left arrow"},"mathspeak":{"default":"superset above left-arrow","sbrief":"suerset above L arrow"}},"key":"297B"},{"category":"Sm","mappings":{"default":{"default":"empty set with right arrow above"},"mathspeak":{"default":"empty set with right-arrow above","sbrief":"empty set with R arrow above"}},"key":"29B3"},{"category":"Sm","mappings":{"default":{"default":"empty set with left arrow above"},"mathspeak":{"default":"empty set with left-arrow above","sbrief":"empty set with L arrow above"}},"key":"29B4"},{"category":"Sm","mappings":{"default":{"default":"up arrow through circle"},"mathspeak":{"default":"up-arrow through circle","sbrief":"U arrow through circle"}},"key":"29BD"},{"category":"Sm","mappings":{"default":{"default":"black diamond with down arrow"},"mathspeak":{"default":"black diamond with down-arrow","sbrief":"black diamond with D arrow"}},"key":"29EA"},{"category":"Sm","mappings":{"default":{"default":"white circle with down arrow"},"mathspeak":{"default":"white circle with down-arrow","sbrief":"white circle with D arrow"}},"key":"29EC"},{"category":"Sm","mappings":{"default":{"default":"black circle with down arrow"},"mathspeak":{"default":"black circle with down-arrow","sbrief":"black circle with D arrow"}},"key":"29ED"},{"category":"Sm","mappings":{"default":{"default":"integral with leftwards arrow with hook","short":"integral with left arrow with hook"},"mathspeak":{"default":"integral with left-arrow with hook","sbrief":"integral with L arrow with hook"}},"key":"2A17"},{"category":"So","mappings":{"default":{"default":"north east white arrow"}},"key":"2B00"},{"category":"So","mappings":{"default":{"default":"north west white arrow"}},"key":"2B01"},{"category":"So","mappings":{"default":{"default":"south east white arrow"}},"key":"2B02"},{"category":"So","mappings":{"default":{"default":"south west white arrow"}},"key":"2B03"},{"category":"So","mappings":{"default":{"default":"left right white arrow"},"mathspeak":{"sbrief":"L R white arrow"}},"key":"2B04"},{"category":"So","mappings":{"default":{"default":"leftwards black arrow","short":"left black arrow"},"mathspeak":{"sbrief":"L black arrow"}},"key":"2B05"},{"category":"So","mappings":{"default":{"default":"upwards black arrow","short":"up black arrow"},"mathspeak":{"sbrief":"U black arrow"}},"key":"2B06"},{"category":"So","mappings":{"default":{"default":"downwards black arrow","short":"down black arrow"},"mathspeak":{"sbrief":"D black arrow"}},"key":"2B07"},{"category":"So","mappings":{"default":{"default":"north east black arrow"}},"key":"2B08"},{"category":"So","mappings":{"default":{"default":"north west black arrow"}},"key":"2B09"},{"category":"So","mappings":{"default":{"default":"south east black arrow"}},"key":"2B0A"},{"category":"So","mappings":{"default":{"default":"south west black arrow"}},"key":"2B0B"},{"category":"So","mappings":{"default":{"default":"left right black arrow"},"mathspeak":{"sbrief":"L R black arrow"}},"key":"2B0C"},{"category":"So","mappings":{"default":{"default":"up down black arrow"},"mathspeak":{"sbrief":"U D black arrow"}},"key":"2B0D"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with tip downwards","short":"right arrow with tip down"},"mathspeak":{"default":"right-arrow with tip down","sbrief":"R arrow with tip down"}},"key":"2B0E"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with tip upwards","short":"right arrow with tip up"},"mathspeak":{"default":"right-arrow with tip up","sbrief":"R arrow with tip up"}},"key":"2B0F"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with tip downwards","short":"left arrow with tip down"},"mathspeak":{"default":"left-arrow with tip down","sbrief":"L arrow with tip down"}},"key":"2B10"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with tip upwards","short":"left arrow with tip up"},"mathspeak":{"default":"left-arrow with tip up","sbrief":"L arrow with tip up"}},"key":"2B11"},{"category":"Sm","mappings":{"default":{"default":"left arrow with small circle"},"mathspeak":{"default":"left-arrow with small circle","sbrief":"L arrow with small circle"}},"key":"2B30"},{"category":"Sm","mappings":{"default":{"default":"three leftwards arrows","short":"three left arrows"},"mathspeak":{"default":"three left-arrows","sbrief":"three L arrows"}},"key":"2B31"},{"category":"Sm","mappings":{"default":{"default":"left arrow with circled plus"},"mathspeak":{"default":"left-arrow with circled plus","sbrief":"L arrow with circled plus"}},"key":"2B32"},{"category":"Sm","mappings":{"default":{"default":"long leftwards squiggle arrow","short":"long left squiggle arrow"},"mathspeak":{"sbrief":"long l squiggle arrow"}},"key":"2B33"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with vertical stroke","short":"left two headed arrow with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with vertical stroke"}},"key":"2B34"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with double vertical stroke","short":"left two headed arrow with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with double vertical stroke"}},"key":"2B35"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow from bar","short":"left two headed arrow from bar"},"mathspeak":{"sbrief":"l two headed arrow from bar"}},"key":"2B36"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed triple dash arrow","short":"left two headed triple dash arrow"},"mathspeak":{"sbrief":"l two headed triple dash arrow"}},"key":"2B37"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with dotted stem","short":"left arrow with dotted stem"},"mathspeak":{"default":"left-arrow with dotted stem","sbrief":"L arrow with dotted stem"}},"key":"2B38"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with tail with vertical stroke","short":"left arrow with tail with vertical stroke"},"mathspeak":{"default":"left-arrow with tail with vertical stroke","sbrief":"L arrow with tail with vertical stroke"}},"key":"2B39"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with tail with double vertical stroke","short":"left arrow with tail with double vertical stroke"},"mathspeak":{"default":"left-arrow with tail with double vertical stroke","sbrief":"L arrow with tail with double vertical stroke"}},"key":"2B3A"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with tail","short":"left two headed arrow with tail"},"mathspeak":{"sbrief":"l two headed arrow with tail"}},"key":"2B3B"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with tail with vertical stroke","short":"left two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with vertical stroke"}},"key":"2B3C"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with tail with double vertical stroke","short":"left two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with double vertical stroke"}},"key":"2B3D"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow through x","short":"left arrow through x"},"mathspeak":{"default":"left-arrow through x","sbrief":"L arrow through x"}},"key":"2B3E"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly left"}},"key":"2B3F"},{"category":"Sm","mappings":{"default":{"default":"equals sign above leftwards arrow","short":"equals sign above left arrow"},"mathspeak":{"default":"equals sign above left-arrow","sbrief":"equals sign above L arrow"}},"key":"2B40"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above leftwards arrow","short":"reverse tilde operator above left arrow"},"mathspeak":{"default":"reverse tilde operator above left-arrow","sbrief":"reverse tilde operator above L arrow"}},"key":"2B41"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above reverse almost equals","short":"left arrow above reverse almost equals"},"mathspeak":{"default":"left-arrow above reverse almost equals","sbrief":"L arrow above reverse almost equals"}},"key":"2B42"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow through greater than","short":"right arrow through greater than"},"mathspeak":{"default":"right-arrow through greater than","sbrief":"R arrow through greater than"}},"key":"2B43"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow through superset","short":"right arrow through superset"},"mathspeak":{"default":"right-arrow through superset","sbrief":"R arrow through superset"}},"key":"2B44"},{"category":"So","mappings":{"default":{"default":"leftwards quadruple arrow","short":"left quadruple arrow"},"mathspeak":{"sbrief":"l quadrule arrow"}},"key":"2B45"},{"category":"So","mappings":{"default":{"default":"rightwards quadruple arrow","short":"right quadruple arrow"},"mathspeak":{"sbrief":"r quadrule arrow"}},"key":"2B46"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above rightwards arrow","short":"reverse tilde operator above right arrow"},"mathspeak":{"default":"reverse tilde operator above right-arrow","sbrief":"reverse tilde operator above R arrow"}},"key":"2B47"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above reverse almost equals","short":"right arrow above reverse almost equals"},"mathspeak":{"default":"right-arrow above reverse almost equals","sbrief":"R arrow above reverse almost equals"}},"key":"2B48"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above leftwards arrow","short":"tilde operator above left arrow"},"mathspeak":{"default":"tilde operator above left-arrow","sbrief":"tilde operator above L arrow"}},"key":"2B49"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above almost equals","short":"left arrow above almost equals"},"mathspeak":{"default":"left-arrow above almost equals","sbrief":"L arrow above almost equals"}},"key":"2B4A"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above reverse tilde operator","short":"left arrow above reverse tilde operator"},"mathspeak":{"default":"left-arrow above reverse tilde operator","sbrief":"L arrow above reverse tilde operator"}},"key":"2B4B"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above reverse tilde operator","short":"right arrow above reverse tilde operator"},"mathspeak":{"default":"right-arrow above reverse tilde operator","sbrief":"R arrow above reverse tilde operator"}},"key":"2B4C"},{"category":"Sm","mappings":{"default":{"default":"halfwidth leftwards arrow","short":"halfwidth left arrow"},"mathspeak":{"default":"halfwidth left-arrow","sbrief":"halfwidth L arrow"}},"key":"FFE9"},{"category":"Sm","mappings":{"default":{"default":"halfwidth upwards arrow","short":"halfwidth up arrow"},"mathspeak":{"default":"halfwidth up-arrow","sbrief":"halfwidth U arrow"}},"key":"FFEA"},{"category":"Sm","mappings":{"default":{"default":"halfwidth rightwards arrow","short":"halfwidth right arrow"},"mathspeak":{"default":"halfwidth right-arrow","sbrief":"halfwidth R arrow"}},"key":"FFEB"},{"category":"Sm","mappings":{"default":{"default":"halfwidth downwards arrow","short":"halfwidth down arrow"},"mathspeak":{"default":"halfwidth down-arrow","sbrief":"halfwidth D arrow"}},"key":"FFEC"}]
+"en/symbols/math_arrows.js": 
+[{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"left arrow"},"mathspeak":{"sbrief":"L arrow"}},"key":"2190"},{"category":"Sm","mappings":{"default":{"default":"up arrow"},"mathspeak":{"sbrief":"U arrow"}},"key":"2191"},{"category":"Sm","mappings":{"default":{"default":"right arrow"},"mathspeak":{"sbrief":"R arrow"}},"key":"2192"},{"category":"Sm","mappings":{"default":{"default":"down arrow"},"mathspeak":{"sbrief":"D arrow"}},"key":"2193"},{"category":"Sm","mappings":{"default":{"default":"left right arrow"},"mathspeak":{"sbrief":"L R arrow"}},"key":"2194"},{"category":"So","mappings":{"default":{"default":"up down arrow"},"mathspeak":{"sbrief":"U D arrow"}},"key":"2195"},{"category":"So","mappings":{"default":{"default":"up left arrow"},"mathspeak":{"sbrief":"U L arrow"}},"key":"2196"},{"category":"So","mappings":{"default":{"default":"up right arrow"},"mathspeak":{"sbrief":"U R arrow"}},"key":"2197"},{"category":"So","mappings":{"default":{"default":"down right arrow"},"mathspeak":{"sbrief":"D R arrow"}},"key":"2198"},{"category":"So","mappings":{"default":{"default":"down left arrow"},"mathspeak":{"sbrief":"D L arrow"}},"key":"2199"},{"category":"Sm","mappings":{"default":{"default":"left arrow with stroke"},"mathspeak":{"sbrief":"L arrow with stroke"}},"key":"219A"},{"category":"Sm","mappings":{"default":{"default":"right arrow with stroke"},"mathspeak":{"sbrief":"R arrow with stroke"}},"key":"219B"},{"category":"So","mappings":{"default":{"default":"left wave arrow"},"mathspeak":{"sbrief":"L wave arrow"}},"key":"219C"},{"category":"So","mappings":{"default":{"default":"right wave arrow"},"mathspeak":{"sbrief":"R wave arrow"}},"key":"219D"},{"category":"So","mappings":{"default":{"default":"two headed left arrow"},"mathspeak":{"sbrief":"two headed L arrow"}},"key":"219E"},{"category":"So","mappings":{"default":{"default":"two headed up arrow"},"mathspeak":{"sbrief":"two headed U arrow"}},"key":"219F"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow"},"mathspeak":{"sbrief":"two headed R arrow"}},"key":"21A0"},{"category":"So","mappings":{"default":{"default":"two headed down arrow"},"mathspeak":{"sbrief":"two headed D arrow"}},"key":"21A1"},{"category":"So","mappings":{"default":{"default":"left arrow with tail"},"mathspeak":{"sbrief":"L arrow with tail"}},"key":"21A2"},{"category":"Sm","mappings":{"default":{"default":"right arrow with tail"},"mathspeak":{"sbrief":"R arrow with tail"}},"key":"21A3"},{"category":"So","mappings":{"default":{"default":"left arrow from bar"},"mathspeak":{"sbrief":"L arrow from bar"}},"key":"21A4"},{"category":"So","mappings":{"default":{"default":"up arrow from bar"},"mathspeak":{"sbrief":"U arrow from bar"}},"key":"21A5"},{"category":"Sm","mappings":{"default":{"default":"right arrow from bar"},"mathspeak":{"sbrief":"R arrow from bar"}},"key":"21A6"},{"category":"So","mappings":{"default":{"default":"down arrow from bar"},"mathspeak":{"sbrief":"D arrow from bar"}},"key":"21A7"},{"category":"So","mappings":{"default":{"default":"up down arrow with base"},"mathspeak":{"sbrief":"U D arrow with base"}},"key":"21A8"},{"category":"So","mappings":{"default":{"default":"left arrow with hook"},"mathspeak":{"sbrief":"L arrow with hook"}},"key":"21A9"},{"category":"So","mappings":{"default":{"default":"right arrow with hook"},"mathspeak":{"sbrief":"R arrow with hook"}},"key":"21AA"},{"category":"So","mappings":{"default":{"default":"left arrow with loop"},"mathspeak":{"sbrief":"L arrow with loop"}},"key":"21AB"},{"category":"So","mappings":{"default":{"default":"right arrow with loop"},"mathspeak":{"sbrief":"R arrow with loop"}},"key":"21AC"},{"category":"So","mappings":{"default":{"default":"left right wave arrow"},"mathspeak":{"sbrief":"L R wave arrow"}},"key":"21AD"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with stroke"},"mathspeak":{"sbrief":"L R arrow with stroke"}},"key":"21AE"},{"category":"So","mappings":{"default":{"default":"down zigzag arrow"},"mathspeak":{"sbrief":"d zigzag arrow"}},"key":"21AF"},{"category":"So","mappings":{"default":{"default":"up arrow with tip left"},"mathspeak":{"sbrief":"U arrow with tip left"}},"key":"21B0"},{"category":"So","mappings":{"default":{"default":"up arrow with tip right"},"mathspeak":{"sbrief":"U arrow with tip right"}},"key":"21B1"},{"category":"So","mappings":{"default":{"default":"down arrow with tip left"},"mathspeak":{"sbrief":"D arrow with tip left"}},"key":"21B2"},{"category":"So","mappings":{"default":{"default":"down arrow with tip right"},"mathspeak":{"sbrief":"D arrow with tip right"}},"key":"21B3"},{"category":"So","mappings":{"default":{"default":"right arrow with corner down"},"mathspeak":{"sbrief":"R arrow with corner down"}},"key":"21B4"},{"category":"So","mappings":{"default":{"default":"down arrow with corner left"},"mathspeak":{"sbrief":"D arrow with corner left"}},"key":"21B5"},{"category":"So","mappings":{"default":{"default":"anticlockwise top semicircle arrow"}},"key":"21B6"},{"category":"So","mappings":{"default":{"default":"clockwise top semicircle arrow"}},"key":"21B7"},{"category":"So","mappings":{"default":{"default":"up left arrow to long bar"},"mathspeak":{"sbrief":"U L arrow to long bar"}},"key":"21B8"},{"category":"So","mappings":{"default":{"default":"left arrow to bar over right arrow to bar"},"mathspeak":{"sbrief":"L arrow to bar over R arrow to bar"}},"key":"21B9"},{"category":"So","mappings":{"default":{"default":"anticlockwise open circle arrow"}},"key":"21BA"},{"category":"So","mappings":{"default":{"default":"clockwise open circle arrow"}},"key":"21BB"},{"category":"So","mappings":{"default":{"default":"right arrow over left arrow"},"mathspeak":{"sbrief":"R arrow over L arrow"}},"key":"21C4"},{"category":"So","mappings":{"default":{"default":"up arrow left of down arrow"},"mathspeak":{"sbrief":"U arrow L of D arrow"}},"key":"21C5"},{"category":"So","mappings":{"default":{"default":"left arrow over right arrow"},"mathspeak":{"sbrief":"L arrow over R arrow"}},"key":"21C6"},{"category":"So","mappings":{"default":{"default":"left paired arrows"},"mathspeak":{"sbrief":"L paired arrows"}},"key":"21C7"},{"category":"So","mappings":{"default":{"default":"up paired arrows"},"mathspeak":{"sbrief":"U paired arrows"}},"key":"21C8"},{"category":"So","mappings":{"default":{"default":"right paired arrows"},"mathspeak":{"sbrief":"R paired arrows"}},"key":"21C9"},{"category":"So","mappings":{"default":{"default":"down paired arrows"},"mathspeak":{"sbrief":"D paired arrows"}},"key":"21CA"},{"category":"So","mappings":{"default":{"default":"left double arrow with stroke"},"mathspeak":{"sbrief":"L double arrow with stroke"}},"key":"21CD"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow with stroke"},"mathspeak":{"sbrief":"L R double arrow with stroke"}},"key":"21CE"},{"category":"Sm","mappings":{"default":{"default":"right double arrow with stroke"},"mathspeak":{"sbrief":"R double arrow with stroke"}},"key":"21CF"},{"category":"So","mappings":{"default":{"default":"left double arrow"},"mathspeak":{"sbrief":"L double arrow"}},"key":"21D0"},{"category":"So","mappings":{"default":{"default":"up double arrow"},"mathspeak":{"sbrief":"U double arrow"}},"key":"21D1"},{"category":"Sm","mappings":{"default":{"default":"right double arrow"},"mathspeak":{"sbrief":"R double arrow"}},"key":"21D2"},{"category":"So","mappings":{"default":{"default":"down double arrow"},"mathspeak":{"sbrief":"d double arrow"}},"key":"21D3"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow"},"mathspeak":{"sbrief":"L R double arrow"}},"key":"21D4"},{"category":"So","mappings":{"default":{"default":"up down double arrow"},"mathspeak":{"sbrief":"U d double arrow"}},"key":"21D5"},{"category":"So","mappings":{"default":{"default":"up left double arrow"},"mathspeak":{"sbrief":"U L double arrow"}},"key":"21D6"},{"category":"So","mappings":{"default":{"default":"up right double arrow"},"mathspeak":{"sbrief":"U R double arrow"}},"key":"21D7"},{"category":"So","mappings":{"default":{"default":"down right double arrow"},"mathspeak":{"sbrief":"d R double arrow"}},"key":"21D8"},{"category":"So","mappings":{"default":{"default":"down left double arrow"},"mathspeak":{"sbrief":"d L double arrow"}},"key":"21D9"},{"category":"So","mappings":{"default":{"default":"left triple arrow"},"mathspeak":{"sbrief":"L triple arrow"}},"key":"21DA"},{"category":"So","mappings":{"default":{"default":"right triple arrow"},"mathspeak":{"sbrief":"r triple arrow"}},"key":"21DB"},{"category":"So","mappings":{"default":{"default":"left squiggle arrow"},"mathspeak":{"sbrief":"L squiggle arrow"}},"key":"21DC"},{"category":"So","mappings":{"default":{"default":"right squiggle arrow"},"mathspeak":{"sbrief":"r squiggle arrow"}},"key":"21DD"},{"category":"So","mappings":{"default":{"default":"up arrow with double stroke"},"mathspeak":{"sbrief":"U arrow with double stroke"}},"key":"21DE"},{"category":"So","mappings":{"default":{"default":"down arrow with double stroke"},"mathspeak":{"sbrief":"D arrow with double stroke"}},"key":"21DF"},{"category":"So","mappings":{"default":{"default":"left dasheD arrow"},"mathspeak":{"sbrief":"L dasheD arrow"}},"key":"21E0"},{"category":"So","mappings":{"default":{"default":"up dasheD arrow"},"mathspeak":{"sbrief":"U dasheD arrow"}},"key":"21E1"},{"category":"So","mappings":{"default":{"default":"right dasheD arrow"},"mathspeak":{"sbrief":"r dasheD arrow"}},"key":"21E2"},{"category":"So","mappings":{"default":{"default":"down dasheD arrow"},"mathspeak":{"sbrief":"d dasheD arrow"}},"key":"21E3"},{"category":"So","mappings":{"default":{"default":"left arrow to bar"},"mathspeak":{"sbrief":"L arrow to bar"}},"key":"21E4"},{"category":"So","mappings":{"default":{"default":"right arrow to bar"},"mathspeak":{"sbrief":"R arrow to bar"}},"key":"21E5"},{"category":"So","mappings":{"default":{"default":"white left arrow"},"mathspeak":{"sbrief":"white L arrow"}},"key":"21E6"},{"category":"So","mappings":{"default":{"default":"white up arrow"},"mathspeak":{"sbrief":"white U arrow"}},"key":"21E7"},{"category":"So","mappings":{"default":{"default":"white right arrow"},"mathspeak":{"sbrief":"white R arrow"}},"key":"21E8"},{"category":"So","mappings":{"default":{"default":"white down arrow"},"mathspeak":{"sbrief":"white D arrow"}},"key":"21E9"},{"category":"So","mappings":{"default":{"default":"white up arrow from bar"},"mathspeak":{"sbrief":"white U arrow from bar"}},"key":"21EA"},{"category":"So","mappings":{"default":{"default":"white up arrow on pedestal"},"mathspeak":{"sbrief":"white U arrow on pedestal"}},"key":"21EB"},{"category":"So","mappings":{"default":{"default":"white up arrow on pedestal with horizontal bar"},"mathspeak":{"sbrief":"white U arrow on pedestal with horizontal bar"}},"key":"21EC"},{"category":"So","mappings":{"default":{"default":"white up arrow on pedestal with vertical bar"},"mathspeak":{"sbrief":"white U arrow on pedestal with vertical bar"}},"key":"21ED"},{"category":"So","mappings":{"default":{"default":"white double up arrow"},"mathspeak":{"sbrief":"white double U arrow"}},"key":"21EE"},{"category":"So","mappings":{"default":{"default":"white double up arrow on pedestal"},"mathspeak":{"sbrief":"white double U arrow on pedestal"}},"key":"21EF"},{"category":"So","mappings":{"default":{"default":"white right arrow from wall"},"mathspeak":{"sbrief":"white R arrow from wall"}},"key":"21F0"},{"category":"So","mappings":{"default":{"default":"north west arrow to corner"}},"key":"21F1"},{"category":"So","mappings":{"default":{"default":"south east arrow to corner"}},"key":"21F2"},{"category":"So","mappings":{"default":{"default":"up down white arrow"},"mathspeak":{"sbrief":"U d white arrow"}},"key":"21F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with small circle"},"mathspeak":{"sbrief":"R arrow with small circle"}},"key":"21F4"},{"category":"Sm","mappings":{"default":{"default":"down arrow left of up arrow"},"mathspeak":{"sbrief":"D arrow l of U arrow"}},"key":"21F5"},{"category":"Sm","mappings":{"default":{"default":"three right arrows"},"mathspeak":{"sbrief":"three R arrows"}},"key":"21F6"},{"category":"Sm","mappings":{"default":{"default":"left arrow with vertical stroke"},"mathspeak":{"sbrief":"L arrow with vertical stroke"}},"key":"21F7"},{"category":"Sm","mappings":{"default":{"default":"right arrow with vertical stroke"},"mathspeak":{"sbrief":"R arrow with vertical stroke"}},"key":"21F8"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with vertical stroke"},"mathspeak":{"sbrief":"L R arrow with vertical stroke"}},"key":"21F9"},{"category":"Sm","mappings":{"default":{"default":"left arrow with double vertical stroke"},"mathspeak":{"sbrief":"L arrow with double vertical stroke"}},"key":"21FA"},{"category":"Sm","mappings":{"default":{"default":"right arrow with double vertical stroke"},"mathspeak":{"sbrief":"R arrow with double vertical stroke"}},"key":"21FB"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with double vertical stroke"},"mathspeak":{"sbrief":"L R arrow with double vertical stroke"}},"key":"21FC"},{"category":"Sm","mappings":{"default":{"default":"left open headed arrow"},"mathspeak":{"sbrief":"l open headed arrow"}},"key":"21FD"},{"category":"Sm","mappings":{"default":{"default":"right open headed arrow"},"mathspeak":{"sbrief":"r open headed arrow"}},"key":"21FE"},{"category":"Sm","mappings":{"default":{"default":"left right open headed arrow"},"mathspeak":{"sbrief":"L R open headed arrow"}},"key":"21FF"},{"category":"So","mappings":{"default":{"default":"electric arrow"}},"key":"2301"},{"category":"So","mappings":{"default":{"default":"up arrowhead"},"mathspeak":{"sbrief":"U arrowhead"}},"key":"2303"},{"category":"So","mappings":{"default":{"default":"down arrowhead"},"mathspeak":{"sbrief":"D arrowhead"}},"key":"2304"},{"category":"So","mappings":{"default":{"default":"up arrowhead between two horizontal bars","alternative":"enter key"},"mathspeak":{"sbrief":"U arrowhead between two horizontal bars"}},"key":"2324"},{"category":"So","mappings":{"default":{"default":"broken circle with northwest arrow"}},"key":"238B"},{"category":"So","mappings":{"default":{"default":"heavy wide headed right arrow"},"mathspeak":{"sbrief":"heavy wide headed R arrow"}},"key":"2794"},{"category":"So","mappings":{"default":{"default":"heavy down right arrow"},"mathspeak":{"sbrief":"heavy d R arrow"}},"key":"2798"},{"category":"So","mappings":{"default":{"default":"heavy right arrow"},"mathspeak":{"sbrief":"heavy R arrow"}},"key":"2799"},{"category":"So","mappings":{"default":{"default":"heavy up right arrow"},"mathspeak":{"sbrief":"heavy U R arrow"}},"key":"279A"},{"category":"So","mappings":{"default":{"default":"drafting point right arrow"},"mathspeak":{"sbrief":"drafting point R arrow"}},"key":"279B"},{"category":"So","mappings":{"default":{"default":"heavy round tipped right arrow"},"mathspeak":{"sbrief":"heavy round tipped R arrow"}},"key":"279C"},{"category":"So","mappings":{"default":{"default":"triangle headed right arrow"},"mathspeak":{"sbrief":"triangle headed R arrow"}},"key":"279D"},{"category":"So","mappings":{"default":{"default":"heavy triangle headed right arrow"},"mathspeak":{"sbrief":"heavy triangle headed R arrow"}},"key":"279E"},{"category":"So","mappings":{"default":{"default":"dashed triangle headed right arrow"},"mathspeak":{"sbrief":"dashed triangle headed R arrow"}},"key":"279F"},{"category":"So","mappings":{"default":{"default":"heavy dashed triangle headed right arrow"},"mathspeak":{"sbrief":"heavy dashed triangle headed R arrow"}},"key":"27A0"},{"category":"So","mappings":{"default":{"default":"black right arrow"},"mathspeak":{"sbrief":"black R arrow"}},"key":"27A1"},{"category":"So","mappings":{"default":{"default":"three d top lighted right arrowhead"},"mathspeak":{"sbrief":"three d top lighted R arrowhead"}},"key":"27A2"},{"category":"So","mappings":{"default":{"default":"three d bottom lighted right arrowhead"},"mathspeak":{"sbrief":"three d bottom lighted R arrowhead"}},"key":"27A3"},{"category":"So","mappings":{"default":{"default":"black right arrowhead"},"mathspeak":{"sbrief":"black R arrowhead"}},"key":"27A4"},{"category":"So","mappings":{"default":{"default":"heavy black curved down and right arrow"},"mathspeak":{"sbrief":"heavy black curved d and R arrow"}},"key":"27A5"},{"category":"So","mappings":{"default":{"default":"heavy black curved up and right arrow"},"mathspeak":{"sbrief":"heavy black curved U and R arrow"}},"key":"27A6"},{"category":"So","mappings":{"default":{"default":"squat black right arrow"},"mathspeak":{"sbrief":"squat black R arrow"}},"key":"27A7"},{"category":"So","mappings":{"default":{"default":"heavy concave pointed black right arrow"},"mathspeak":{"sbrief":"heavy concave pointed black R arrow"}},"key":"27A8"},{"category":"So","mappings":{"default":{"default":"right shaded white right arrow"},"mathspeak":{"sbrief":"right shaded white R arrow"}},"key":"27A9"},{"category":"So","mappings":{"default":{"default":"left shaded white right arrow"},"mathspeak":{"sbrief":"left shaded white R arrow"}},"key":"27AA"},{"category":"So","mappings":{"default":{"default":"back tilted shadowed white right arrow"},"mathspeak":{"sbrief":"back tilted shadowed white R arrow"}},"key":"27AB"},{"category":"So","mappings":{"default":{"default":"front tilted shadowed white right arrow"},"mathspeak":{"sbrief":"front tilted shadowed white R arrow"}},"key":"27AC"},{"category":"So","mappings":{"default":{"default":"heavy lower right shadowed white right arrow"},"mathspeak":{"sbrief":"heavy lower right shadowed white R arrow"}},"key":"27AD"},{"category":"So","mappings":{"default":{"default":"heavy upper right shadowed white right arrow"},"mathspeak":{"sbrief":"heavy upper right shadowed white R arrow"}},"key":"27AE"},{"category":"So","mappings":{"default":{"default":"notched lower right shadowed white right arrow"},"mathspeak":{"sbrief":"notched lower right shadowed white R arrow"}},"key":"27AF"},{"category":"So","mappings":{"default":{"default":"notched upper right shadowed white right arrow"},"mathspeak":{"sbrief":"notched upper right shadowed white R arrow"}},"key":"27B1"},{"category":"So","mappings":{"default":{"default":"circled heavy white right arrow"},"mathspeak":{"sbrief":"circled heavy white R arrow"}},"key":"27B2"},{"category":"So","mappings":{"default":{"default":"white feathered right arrow"},"mathspeak":{"sbrief":"white feathered R arrow"}},"key":"27B3"},{"category":"So","mappings":{"default":{"default":"black feathered down right arrow"},"mathspeak":{"sbrief":"black feathered d R arrow"}},"key":"27B4"},{"category":"So","mappings":{"default":{"default":"black feathered right arrow"},"mathspeak":{"sbrief":"black feathered R arrow"}},"key":"27B5"},{"category":"So","mappings":{"default":{"default":"black feathered up right arrow"},"mathspeak":{"sbrief":"black feathered U R arrow"}},"key":"27B6"},{"category":"So","mappings":{"default":{"default":"heavy black feathered down right arrow"},"mathspeak":{"sbrief":"heavy black feathered d R arrow"}},"key":"27B7"},{"category":"So","mappings":{"default":{"default":"heavy black feathered right arrow"},"mathspeak":{"sbrief":"heavy black feathered R arrow"}},"key":"27B8"},{"category":"So","mappings":{"default":{"default":"heavy black feathered up right arrow"},"mathspeak":{"sbrief":"heavy black feathered U R arrow"}},"key":"27B9"},{"category":"So","mappings":{"default":{"default":"teardrop barbed right arrow"},"mathspeak":{"sbrief":"teardrop barbed R arrow"}},"key":"27BA"},{"category":"So","mappings":{"default":{"default":"heavy teardrop shanked right arrow"},"mathspeak":{"sbrief":"heavy teardrop shanked R arrow"}},"key":"27BB"},{"category":"So","mappings":{"default":{"default":"wedge tailed right arrow"},"mathspeak":{"sbrief":"wedge tailed R arrow"}},"key":"27BC"},{"category":"So","mappings":{"default":{"default":"heavy wedge tailed right arrow"},"mathspeak":{"sbrief":"heavy wedge tailed R arrow"}},"key":"27BD"},{"category":"So","mappings":{"default":{"default":"open outlined right arrow"},"mathspeak":{"sbrief":"open outlined R arrow"}},"key":"27BE"},{"category":"Sm","mappings":{"default":{"default":"up quadruple arrow"},"mathspeak":{"sbrief":"U quadruple arrow"}},"key":"27F0"},{"category":"Sm","mappings":{"default":{"default":"down quadruple arrow"},"mathspeak":{"sbrief":"d quadrule arrow"}},"key":"27F1"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise gapped circle arrow"}},"key":"27F2"},{"category":"Sm","mappings":{"default":{"default":"clockwise gapped circle arrow"}},"key":"27F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with circled plus"},"mathspeak":{"sbrief":"R arrow with circled plus"}},"key":"27F4"},{"category":"Sm","mappings":{"default":{"default":"long left arrow"},"mathspeak":{"sbrief":"long L arrow"}},"key":"27F5"},{"category":"Sm","mappings":{"default":{"default":"long right arrow"},"mathspeak":{"sbrief":"long R arrow"}},"key":"27F6"},{"category":"Sm","mappings":{"default":{"default":"long left right arrow"},"mathspeak":{"sbrief":"long L R arrow"}},"key":"27F7"},{"category":"Sm","mappings":{"default":{"default":"long left double arrow"},"mathspeak":{"sbrief":"long l double arrow"}},"key":"27F8"},{"category":"Sm","mappings":{"default":{"default":"long right double arrow"},"mathspeak":{"sbrief":"long R double arrow"}},"key":"27F9"},{"category":"Sm","mappings":{"default":{"default":"long left right double arrow"},"mathspeak":{"sbrief":"long L R double arrow"}},"key":"27FA"},{"category":"Sm","mappings":{"default":{"default":"long left arrow from bar"},"mathspeak":{"sbrief":"long L arrow from bar"}},"key":"27FB"},{"category":"Sm","mappings":{"default":{"default":"long right arrow from bar"},"mathspeak":{"sbrief":"long R arrow from bar"}},"key":"27FC"},{"category":"Sm","mappings":{"default":{"default":"long left double arrow from bar"},"mathspeak":{"sbrief":"long l double arrow from bar"}},"key":"27FD"},{"category":"Sm","mappings":{"default":{"default":"long right double arrow from bar"},"mathspeak":{"sbrief":"long R double arrow from bar"}},"key":"27FE"},{"category":"Sm","mappings":{"default":{"default":"long right squiggle arrow"},"mathspeak":{"sbrief":"long r squiggle arrow"}},"key":"27FF"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow with vertical stroke"},"mathspeak":{"sbrief":"two headed R arrow with vertical stroke"}},"key":"2900"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow with double vertical stroke"},"mathspeak":{"sbrief":"two headed R arrow with double vertical stroke"}},"key":"2901"},{"category":"Sm","mappings":{"default":{"default":"double left arrow with vertical stroke"},"mathspeak":{"sbrief":"double L arrow with vertical stroke"}},"key":"2902"},{"category":"Sm","mappings":{"default":{"default":"double right arrow with vertical stroke"},"mathspeak":{"sbrief":"double R arrow with vertical stroke"}},"key":"2903"},{"category":"Sm","mappings":{"default":{"default":"double left right arrow with vertical stroke"},"mathspeak":{"sbrief":"double L R arrow with vertical stroke"}},"key":"2904"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow from bar"},"mathspeak":{"sbrief":"two headed R arrow from bar"}},"key":"2905"},{"category":"Sm","mappings":{"default":{"default":"double left arrow from bar"},"mathspeak":{"sbrief":"double L arrow from bar"}},"key":"2906"},{"category":"Sm","mappings":{"default":{"default":"double right arrow from bar"},"mathspeak":{"sbrief":"double R arrow from bar"}},"key":"2907"},{"category":"Sm","mappings":{"default":{"default":"arrow down with horizontal stroke"}},"key":"2908"},{"category":"Sm","mappings":{"default":{"default":"up arrow with horizontal stroke"},"mathspeak":{"sbrief":"U arrow with horizontal stroke"}},"key":"2909"},{"category":"Sm","mappings":{"default":{"default":"up triple arrow"},"mathspeak":{"sbrief":"U triple arrow"}},"key":"290A"},{"category":"Sm","mappings":{"default":{"default":"down triple arrow"},"mathspeak":{"sbrief":"d triple arrow"}},"key":"290B"},{"category":"Sm","mappings":{"default":{"default":"left double dash arrow"},"mathspeak":{"sbrief":"l double dash arrow"}},"key":"290C"},{"category":"Sm","mappings":{"default":{"default":"right double dash arrow"},"mathspeak":{"sbrief":"R double dash arrow"}},"key":"290D"},{"category":"Sm","mappings":{"default":{"default":"left triple dash arrow"},"mathspeak":{"sbrief":"l triple dash arrow"}},"key":"290E"},{"category":"Sm","mappings":{"default":{"default":"right triple dash arrow"},"mathspeak":{"sbrief":"r triple dash arrow"}},"key":"290F"},{"category":"Sm","mappings":{"default":{"default":"right two headed triple dash arrow"},"mathspeak":{"sbrief":"r two headed triple dash arrow"}},"key":"2910"},{"category":"Sm","mappings":{"default":{"default":"right arrow with dotted stem"},"mathspeak":{"sbrief":"R arrow with dotted stem"}},"key":"2911"},{"category":"Sm","mappings":{"default":{"default":"up arrow to bar"},"mathspeak":{"sbrief":"U arrow to bar"}},"key":"2912"},{"category":"Sm","mappings":{"default":{"default":"down arrow to bar"},"mathspeak":{"sbrief":"D arrow to bar"}},"key":"2913"},{"category":"Sm","mappings":{"default":{"default":"right arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"R arrow with tail with vertical stroke"}},"key":"2914"},{"category":"Sm","mappings":{"default":{"default":"right arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"R arrow with tail with double vertical stroke"}},"key":"2915"},{"category":"Sm","mappings":{"default":{"default":"right two headed arrow with tail"},"mathspeak":{"sbrief":"r two headed arrow with tail"}},"key":"2916"},{"category":"Sm","mappings":{"default":{"default":"right two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with vertical stroke"}},"key":"2917"},{"category":"Sm","mappings":{"default":{"default":"right two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with double vertical stroke"}},"key":"2918"},{"category":"Sm","mappings":{"default":{"default":"left arrow tail"},"mathspeak":{"sbrief":"L arrow tail"}},"key":"2919"},{"category":"Sm","mappings":{"default":{"default":"right arrow tail"},"mathspeak":{"sbrief":"R arrow tail"}},"key":"291A"},{"category":"Sm","mappings":{"default":{"default":"left double arrow tail"},"mathspeak":{"sbrief":"l double arrow tail"}},"key":"291B"},{"category":"Sm","mappings":{"default":{"default":"right double arrow tail"},"mathspeak":{"sbrief":"R double arrow tail"}},"key":"291C"},{"category":"Sm","mappings":{"default":{"default":"left arrow to black diamond"},"mathspeak":{"sbrief":"L arrow to black diamond"}},"key":"291D"},{"category":"Sm","mappings":{"default":{"default":"right arrow to black diamond"},"mathspeak":{"sbrief":"R arrow to black diamond"}},"key":"291E"},{"category":"Sm","mappings":{"default":{"default":"left arrow from bar to black diamond"},"mathspeak":{"sbrief":"L arrow from bar to black diamond"}},"key":"291F"},{"category":"Sm","mappings":{"default":{"default":"right arrow from bar to black diamond"},"mathspeak":{"sbrief":"R arrow from bar to black diamond"}},"key":"2920"},{"category":"Sm","mappings":{"default":{"default":"north west and south east arrow"}},"key":"2921"},{"category":"Sm","mappings":{"default":{"default":"north east and south west arrow"}},"key":"2922"},{"category":"Sm","mappings":{"default":{"default":"north west arrow with hook"}},"key":"2923"},{"category":"Sm","mappings":{"default":{"default":"north east arrow with hook"}},"key":"2924"},{"category":"Sm","mappings":{"default":{"default":"south east arrow with hook"}},"key":"2925"},{"category":"Sm","mappings":{"default":{"default":"south west arrow with hook"}},"key":"2926"},{"category":"Sm","mappings":{"default":{"default":"north west arrow and north east arrow"}},"key":"2927"},{"category":"Sm","mappings":{"default":{"default":"north east arrow and south east arrow"}},"key":"2928"},{"category":"Sm","mappings":{"default":{"default":"south east arrow and south west arrow"}},"key":"2929"},{"category":"Sm","mappings":{"default":{"default":"south west arrow and north west arrow"}},"key":"292A"},{"category":"Sm","mappings":{"default":{"default":"south east arrow crossing north east arrow"}},"key":"292D"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing south east arrow"}},"key":"292E"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing north east arrow"}},"key":"292F"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing south east arrow"}},"key":"2930"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing north west arrow"}},"key":"2931"},{"category":"Sm","mappings":{"default":{"default":"north west arrow crossing north east arrow"}},"key":"2932"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly right"}},"key":"2933"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing right then curving up"}},"key":"2934"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing right then curving down"}},"key":"2935"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing down then curving left"}},"key":"2936"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing down then curving right"}},"key":"2937"},{"category":"Sm","mappings":{"default":{"default":"right side arc clockwise arrow"},"mathspeak":{"sbrief":"r side arc clockwise arrow"}},"key":"2938"},{"category":"Sm","mappings":{"default":{"default":"left side arc anticlockwise arrow"},"mathspeak":{"sbrief":"l side arc anticlockwise arrow"}},"key":"2939"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow"}},"key":"293A"},{"category":"Sm","mappings":{"default":{"default":"bottom arc anticlockwise arrow"}},"key":"293B"},{"category":"Sm","mappings":{"default":{"default":"top arc clockwise arrow with minus"}},"key":"293C"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow with plus"}},"key":"293D"},{"category":"Sm","mappings":{"default":{"default":"down right semicircular clockwise arrow"},"mathspeak":{"sbrief":"d r semicircular clockwise arrow"}},"key":"293E"},{"category":"Sm","mappings":{"default":{"default":"down left semicircular anticlockwise arrow"},"mathspeak":{"sbrief":"d l semicircular anticlockwise arrow"}},"key":"293F"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise closed circle arrow"}},"key":"2940"},{"category":"Sm","mappings":{"default":{"default":"clockwise closed circle arrow"}},"key":"2941"},{"category":"Sm","mappings":{"default":{"default":"right arrow above short left arrow"},"mathspeak":{"sbrief":"R arrow above short L arrow"}},"key":"2942"},{"category":"Sm","mappings":{"default":{"default":"left arrow above short right arrow"},"mathspeak":{"sbrief":"L arrow above short R arrow"}},"key":"2943"},{"category":"Sm","mappings":{"default":{"default":"short right arrow above left arrow"},"mathspeak":{"sbrief":"short R arrow above L arrow"}},"key":"2944"},{"category":"Sm","mappings":{"default":{"default":"right arrow with plus below"},"mathspeak":{"sbrief":"R arrow with plus below"}},"key":"2945"},{"category":"Sm","mappings":{"default":{"default":"left arrow with plus below"},"mathspeak":{"sbrief":"L arrow with plus below"}},"key":"2946"},{"category":"Sm","mappings":{"default":{"default":"right arrow through x"},"mathspeak":{"sbrief":"R arrow through x"}},"key":"2947"},{"category":"Sm","mappings":{"default":{"default":"left right arrow through small circle"},"mathspeak":{"sbrief":"L R arrow through small circle"}},"key":"2948"},{"category":"Sm","mappings":{"default":{"default":"up two headed arrow from small circle"},"mathspeak":{"sbrief":"U two headed arrow from small circle"}},"key":"2949"},{"category":"Sm","mappings":{"default":{"default":"right double arrow with rounded head"},"mathspeak":{"sbrief":"R double arrow with rounded head"}},"key":"2970"},{"category":"Sm","mappings":{"default":{"default":"equals sign above right arrow"},"mathspeak":{"sbrief":"equals sign above R arrow"}},"key":"2971"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above right arrow"},"mathspeak":{"sbrief":"tilde operator above R arrow"}},"key":"2972"},{"category":"Sm","mappings":{"default":{"default":"left arrow above tilde operator"},"mathspeak":{"sbrief":"L arrow above tilde operator"}},"key":"2973"},{"category":"Sm","mappings":{"default":{"default":"right arrow above tilde operator"},"mathspeak":{"sbrief":"R arrow above tilde operator"}},"key":"2974"},{"category":"Sm","mappings":{"default":{"default":"right arrow above almost equals"},"mathspeak":{"sbrief":"R arrow above almost equals"}},"key":"2975"},{"category":"Sm","mappings":{"default":{"default":"less than above left arrow"},"mathspeak":{"sbrief":"less than above L arrow"}},"key":"2976"},{"category":"Sm","mappings":{"default":{"default":"left arrow through less than"},"mathspeak":{"sbrief":"L arrow through less than"}},"key":"2977"},{"category":"Sm","mappings":{"default":{"default":"greater than above right arrow"},"mathspeak":{"sbrief":"greater than above R arrow"}},"key":"2978"},{"category":"Sm","mappings":{"default":{"default":"subset above right arrow"},"mathspeak":{"sbrief":"subset above R arrow"}},"key":"2979"},{"category":"Sm","mappings":{"default":{"default":"left arrow through subset"},"mathspeak":{"sbrief":"L arrow through subset"}},"key":"297A"},{"category":"Sm","mappings":{"default":{"default":"superset above left arrow"},"mathspeak":{"sbrief":"suerset above L arrow"}},"key":"297B"},{"category":"Sm","mappings":{"default":{"default":"empty set with right arrow above"},"mathspeak":{"sbrief":"empty set with R arrow above"}},"key":"29B3"},{"category":"Sm","mappings":{"default":{"default":"empty set with left arrow above"},"mathspeak":{"sbrief":"empty set with L arrow above"}},"key":"29B4"},{"category":"Sm","mappings":{"default":{"default":"up arrow through circle"},"mathspeak":{"sbrief":"U arrow through circle"}},"key":"29BD"},{"category":"Sm","mappings":{"default":{"default":"black diamond with down arrow"},"mathspeak":{"sbrief":"black diamond with D arrow"}},"key":"29EA"},{"category":"Sm","mappings":{"default":{"default":"white circle with down arrow"},"mathspeak":{"sbrief":"white circle with D arrow"}},"key":"29EC"},{"category":"Sm","mappings":{"default":{"default":"black circle with down arrow"},"mathspeak":{"sbrief":"black circle with D arrow"}},"key":"29ED"},{"category":"Sm","mappings":{"default":{"default":"integral with left arrow with hook"},"mathspeak":{"sbrief":"integral with L arrow with hook"}},"key":"2A17"},{"category":"So","mappings":{"default":{"default":"north east white arrow"}},"key":"2B00"},{"category":"So","mappings":{"default":{"default":"north west white arrow"}},"key":"2B01"},{"category":"So","mappings":{"default":{"default":"south east white arrow"}},"key":"2B02"},{"category":"So","mappings":{"default":{"default":"south west white arrow"}},"key":"2B03"},{"category":"So","mappings":{"default":{"default":"left right white arrow"},"mathspeak":{"sbrief":"L R white arrow"}},"key":"2B04"},{"category":"So","mappings":{"default":{"default":"left black arrow"},"mathspeak":{"sbrief":"L black arrow"}},"key":"2B05"},{"category":"So","mappings":{"default":{"default":"up black arrow"},"mathspeak":{"sbrief":"U black arrow"}},"key":"2B06"},{"category":"So","mappings":{"default":{"default":"down black arrow"},"mathspeak":{"sbrief":"D black arrow"}},"key":"2B07"},{"category":"So","mappings":{"default":{"default":"north east black arrow"}},"key":"2B08"},{"category":"So","mappings":{"default":{"default":"north west black arrow"}},"key":"2B09"},{"category":"So","mappings":{"default":{"default":"south east black arrow"}},"key":"2B0A"},{"category":"So","mappings":{"default":{"default":"south west black arrow"}},"key":"2B0B"},{"category":"So","mappings":{"default":{"default":"left right black arrow"},"mathspeak":{"sbrief":"L R black arrow"}},"key":"2B0C"},{"category":"So","mappings":{"default":{"default":"up down black arrow"},"mathspeak":{"sbrief":"U D black arrow"}},"key":"2B0D"},{"category":"So","mappings":{"default":{"default":"right arrow with tip down"},"mathspeak":{"sbrief":"R arrow with tip down"}},"key":"2B0E"},{"category":"So","mappings":{"default":{"default":"right arrow with tip up"},"mathspeak":{"sbrief":"R arrow with tip up"}},"key":"2B0F"},{"category":"So","mappings":{"default":{"default":"left arrow with tip down"},"mathspeak":{"sbrief":"L arrow with tip down"}},"key":"2B10"},{"category":"So","mappings":{"default":{"default":"left arrow with tip up"},"mathspeak":{"sbrief":"L arrow with tip up"}},"key":"2B11"},{"category":"Sm","mappings":{"default":{"default":"left arrow with small circle"},"mathspeak":{"sbrief":"L arrow with small circle"}},"key":"2B30"},{"category":"Sm","mappings":{"default":{"default":"three left arrows"},"mathspeak":{"sbrief":"three L arrows"}},"key":"2B31"},{"category":"Sm","mappings":{"default":{"default":"left arrow with circled plus"},"mathspeak":{"sbrief":"L arrow with circled plus"}},"key":"2B32"},{"category":"Sm","mappings":{"default":{"default":"long left squiggle arrow"},"mathspeak":{"sbrief":"long l squiggle arrow"}},"key":"2B33"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with vertical stroke"}},"key":"2B34"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with double vertical stroke"}},"key":"2B35"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow from bar"},"mathspeak":{"sbrief":"l two headed arrow from bar"}},"key":"2B36"},{"category":"Sm","mappings":{"default":{"default":"left two headed triple dash arrow"},"mathspeak":{"sbrief":"l two headed triple dash arrow"}},"key":"2B37"},{"category":"Sm","mappings":{"default":{"default":"left arrow with dotted stem"},"mathspeak":{"sbrief":"L arrow with dotted stem"}},"key":"2B38"},{"category":"Sm","mappings":{"default":{"default":"left arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"L arrow with tail with vertical stroke"}},"key":"2B39"},{"category":"Sm","mappings":{"default":{"default":"left arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"L arrow with tail with double vertical stroke"}},"key":"2B3A"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with tail"},"mathspeak":{"sbrief":"l two headed arrow with tail"}},"key":"2B3B"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with vertical stroke"}},"key":"2B3C"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with double vertical stroke"}},"key":"2B3D"},{"category":"Sm","mappings":{"default":{"default":"left arrow through x"},"mathspeak":{"sbrief":"L arrow through x"}},"key":"2B3E"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly left"}},"key":"2B3F"},{"category":"Sm","mappings":{"default":{"default":"equals sign above left arrow"},"mathspeak":{"sbrief":"equals sign above L arrow"}},"key":"2B40"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above left arrow"},"mathspeak":{"sbrief":"reverse tilde operator above L arrow"}},"key":"2B41"},{"category":"Sm","mappings":{"default":{"default":"left arrow above reverse almost equals"},"mathspeak":{"sbrief":"L arrow above reverse almost equals"}},"key":"2B42"},{"category":"Sm","mappings":{"default":{"default":"right arrow through greater than"},"mathspeak":{"sbrief":"R arrow through greater than"}},"key":"2B43"},{"category":"Sm","mappings":{"default":{"default":"right arrow through superset"},"mathspeak":{"sbrief":"R arrow through superset"}},"key":"2B44"},{"category":"So","mappings":{"default":{"default":"left quadruple arrow"},"mathspeak":{"sbrief":"l quadrule arrow"}},"key":"2B45"},{"category":"So","mappings":{"default":{"default":"right quadruple arrow"},"mathspeak":{"sbrief":"r quadrule arrow"}},"key":"2B46"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above right arrow"},"mathspeak":{"sbrief":"reverse tilde operator above R arrow"}},"key":"2B47"},{"category":"Sm","mappings":{"default":{"default":"right arrow above reverse almost equals"},"mathspeak":{"sbrief":"R arrow above reverse almost equals"}},"key":"2B48"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above left arrow"},"mathspeak":{"sbrief":"tilde operator above L arrow"}},"key":"2B49"},{"category":"Sm","mappings":{"default":{"default":"left arrow above almost equals"},"mathspeak":{"sbrief":"L arrow above almost equals"}},"key":"2B4A"},{"category":"Sm","mappings":{"default":{"default":"left arrow above reverse tilde operator"},"mathspeak":{"sbrief":"L arrow above reverse tilde operator"}},"key":"2B4B"},{"category":"Sm","mappings":{"default":{"default":"right arrow above reverse tilde operator"},"mathspeak":{"sbrief":"R arrow above reverse tilde operator"}},"key":"2B4C"},{"category":"Sm","mappings":{"default":{"default":"halfwidth left arrow"},"mathspeak":{"sbrief":"halfwidth L arrow"}},"key":"FFE9"},{"category":"Sm","mappings":{"default":{"default":"halfwidth up arrow"},"mathspeak":{"sbrief":"halfwidth U arrow"}},"key":"FFEA"},{"category":"Sm","mappings":{"default":{"default":"halfwidth right arrow"},"mathspeak":{"sbrief":"halfwidth R arrow"}},"key":"FFEB"},{"category":"Sm","mappings":{"default":{"default":"halfwidth down arrow"},"mathspeak":{"sbrief":"halfwidth D arrow"}},"key":"FFEC"}]
+,
+"en/symbols/math_characters.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"script l"}},"key":"2113"},{"category":"Sm","mappings":{"default":{"default":"script cap P"},"mathspeak":{"default":"script upper P"}},"key":"2118"},{"category":"Ll","mappings":{"default":{"default":"double struck pi"}},"key":"213C"},{"category":"Ll","mappings":{"default":{"default":"double struck gamma"}},"key":"213D"},{"category":"Lu","mappings":{"default":{"default":"double struck cap Gamma"},"mathspeak":{"default":"double struck upper Gamma"}},"key":"213E"},{"category":"Lu","mappings":{"default":{"default":"double struck cap Pi"},"mathspeak":{"default":"double struck upper Pi"}},"key":"213F"},{"category":"Sm","mappings":{"default":{"default":"double struck sum"},"mathspeak":{"default":"double struck sigma summation"}},"key":"2140"},{"category":"Lu","mappings":{"default":{"default":"double struck italic cap D"},"mathspeak":{"default":"double struck italic upper D"}},"key":"2145"},{"category":"Ll","mappings":{"default":{"default":"double struck italic d"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"double struck italic e"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"double struck italic i"}},"key":"2148"},{"category":"Ll","mappings":{"default":{"default":"double struck italic j"}},"key":"2149"},{"category":"Ll","mappings":{"default":{"default":"italic dotless i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"italic dotless j"}},"key":"1D6A5"}]
 ,
-"en/math_characters.js": 
-[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"script small l","short":"script l"}},"key":"2113"},{"category":"Sm","mappings":{"default":{"default":"script capital p","alternative":"script p","short":"script cap p"},"mathspeak":{"default":"script upper P"}},"key":"2118"},{"category":"Ll","mappings":{"default":{"default":"double struck small pi","short":"double struck pi"}},"key":"213C"},{"category":"Ll","mappings":{"default":{"default":"double struck small gamma","short":"double struck gamma"}},"key":"213D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital gamma","short":"double struck cap gamma"},"mathspeak":{"default":"double struck upper Gamma"}},"key":"213E"},{"category":"Lu","mappings":{"default":{"default":"double struck capital pi","short":"double struck cap pi"},"mathspeak":{"default":"double struck upper Pi"}},"key":"213F"},{"category":"Sm","mappings":{"default":{"default":"double struck n ary summation"}},"key":"2140"},{"category":"Lu","mappings":{"default":{"default":"double struck italic capital d","short":"double struck italic cap d"},"mathspeak":{"default":"double struck italic upper D"}},"key":"2145"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small d","short":"double struck italic d"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small e","short":"double struck italic e"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small i","short":"double struck italic i"}},"key":"2148"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small j","short":"double struck italic j"}},"key":"2149"},{"category":"Ll","mappings":{"default":{"default":"italic small dotless i","short":"italic dotless i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"italic small dotless j","short":"italic dotless j"}},"key":"1D6A5"}]
+"en/symbols/math_delimiters.js": 
+[{"locale":"en"},{"category":"Ps","mappings":{"default":{"default":"left parenthesis"},"mathspeak":{"brief":"left p'ren","sbrief":"L p'ren"},"clearspeak":{"default":"open paren"}},"key":"0028"},{"category":"Pe","mappings":{"default":{"default":"right parenthesis"},"mathspeak":{"brief":"right p'ren","sbrief":"R p'ren"},"clearspeak":{"default":"close paren"}},"key":"0029"},{"category":"Ps","mappings":{"default":{"default":"left bracket"},"mathspeak":{"brief":"left brack","sbrief":"L brack"},"clearspeak":{"default":"open bracket"}},"key":"005B"},{"category":"Pe","mappings":{"default":{"default":"right bracket"},"mathspeak":{"brief":"right brack","sbrief":"R brack"},"clearspeak":{"default":"close bracket"}},"key":"005D"},{"category":"Ps","mappings":{"default":{"default":"left brace"},"mathspeak":{"sbrief":"L brace"},"clearspeak":{"default":"open brace"}},"key":"007B"},{"category":"Pe","mappings":{"default":{"default":"right brace"},"mathspeak":{"sbrief":"R brace"},"clearspeak":{"default":"close brace"}},"key":"007D"},{"category":"Ps","mappings":{"default":{"default":"left bracket with quill"},"mathspeak":{"brief":"left brack with quill","sbrief":"L brack with quill"}},"key":"2045"},{"category":"Pe","mappings":{"default":{"default":"right bracket with quill"},"mathspeak":{"brief":"right brack with quill","sbrief":"R brack with quill"}},"key":"2046"},{"category":"Sm","mappings":{"default":{"default":"left ceiling"}},"key":"2308"},{"category":"Sm","mappings":{"default":{"default":"right ceiling"}},"key":"2309"},{"category":"Sm","mappings":{"default":{"default":"left floor"}},"key":"230A"},{"category":"Sm","mappings":{"default":{"default":"right floor"}},"key":"230B"},{"category":"So","mappings":{"default":{"default":"bottom right crop"}},"key":"230C"},{"category":"So","mappings":{"default":{"default":"bottom left crop"}},"key":"230D"},{"category":"So","mappings":{"default":{"default":"top right crop"}},"key":"230E"},{"category":"So","mappings":{"default":{"default":"top left crop"}},"key":"230F"},{"category":"So","mappings":{"default":{"default":"top left corner"}},"key":"231C"},{"category":"So","mappings":{"default":{"default":"top right corner"}},"key":"231D"},{"category":"So","mappings":{"default":{"default":"bottom left corner"}},"key":"231E"},{"category":"So","mappings":{"default":{"default":"bottom right corner"}},"key":"231F"},{"category":"Sm","mappings":{"default":{"default":"top half integral"}},"key":"2320"},{"category":"Sm","mappings":{"default":{"default":"bottom half integral"}},"key":"2321"},{"category":"Ps","mappings":{"default":{"default":"left pointing angle bracket","physics":"bra"}},"key":"2329"},{"category":"Pe","mappings":{"default":{"default":"right pointing angle bracket","physics":"ket"}},"key":"232A"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis upper hook"},"mathspeak":{"brief":"left p'ren upper hook","sbrief":"L p'ren upper hook"}},"key":"239B"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis extension"},"mathspeak":{"brief":"left p'ren extension","sbrief":"L p'ren extension"}},"key":"239C"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis lower hook"},"mathspeak":{"brief":"left p'ren lower hook","sbrief":"L p'ren lower hook"}},"key":"239D"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis upper hook"},"mathspeak":{"brief":"right p'ren upper hook","sbrief":"R p'ren upper hook"}},"key":"239E"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis extension"},"mathspeak":{"brief":"right p'ren extension","sbrief":"R p'ren extension"}},"key":"239F"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis lower hook"},"mathspeak":{"brief":"right p'ren lower hook","sbrief":"R p'ren lower hook"}},"key":"23A0"},{"category":"Sm","mappings":{"default":{"default":"left bracket upper corner"},"mathspeak":{"brief":"left brack upper corner","sbrief":"L brack upper corner"}},"key":"23A1"},{"category":"Sm","mappings":{"default":{"default":"left bracket extension"},"mathspeak":{"brief":"left brack extension","sbrief":"L brack extension"}},"key":"23A2"},{"category":"Sm","mappings":{"default":{"default":"left bracket lower corner"},"mathspeak":{"brief":"left brack lower corner","sbrief":"L brack lower corner"}},"key":"23A3"},{"category":"Sm","mappings":{"default":{"default":"right bracket upper corner"},"mathspeak":{"brief":"right brack upper corner","sbrief":"R brack upper corner"}},"key":"23A4"},{"category":"Sm","mappings":{"default":{"default":"right bracket extension"},"mathspeak":{"brief":"right brack extension","sbrief":"R brack extension"}},"key":"23A5"},{"category":"Sm","mappings":{"default":{"default":"right bracket lower corner"},"mathspeak":{"brief":"right brack lower corner","sbrief":"R brack lower corner"}},"key":"23A6"},{"category":"Sm","mappings":{"default":{"default":"left brace upper hook"},"mathspeak":{"sbrief":"L brace upper hook"}},"key":"23A7"},{"category":"Sm","mappings":{"default":{"default":"left brace middle piece"},"mathspeak":{"sbrief":"L brace middle piece"}},"key":"23A8"},{"category":"Sm","mappings":{"default":{"default":"left brace lower hook"},"mathspeak":{"sbrief":"L brace lower hook"}},"key":"23A9"},{"category":"Sm","mappings":{"default":{"default":"brace extension"}},"key":"23AA"},{"category":"Sm","mappings":{"default":{"default":"right brace upper hook"},"mathspeak":{"sbrief":"R brace upper hook"}},"key":"23AB"},{"category":"Sm","mappings":{"default":{"default":"right brace middle piece"},"mathspeak":{"sbrief":"R brace middle piece"}},"key":"23AC"},{"category":"Sm","mappings":{"default":{"default":"right brace lower hook"},"mathspeak":{"sbrief":"R brace lower hook"}},"key":"23AD"},{"category":"Sm","mappings":{"default":{"default":"integral extension"}},"key":"23AE"},{"category":"Sm","mappings":{"default":{"default":"horizontal line extension"}},"key":"23AF"},{"category":"Sm","mappings":{"default":{"default":"upper left or lower right brace section"}},"key":"23B0"},{"category":"Sm","mappings":{"default":{"default":"upper right or lower left brace section"}},"key":"23B1"},{"category":"Sm","mappings":{"default":{"default":"summation top"}},"key":"23B2"},{"category":"Sm","mappings":{"default":{"default":"summation bottom"}},"key":"23B3"},{"category":"So","mappings":{"default":{"default":"top bracket"},"mathspeak":{"brief":"top brack","sbrief":"T brack"}},"key":"23B4"},{"category":"So","mappings":{"default":{"default":"bottom bracket"},"mathspeak":{"brief":"bottom brack","sbrief":"B brack"}},"key":"23B5"},{"category":"So","mappings":{"default":{"default":"bottom bracket over top bracket"},"mathspeak":{"brief":"bottom brack over top brack","sbrief":"B brack over T brack"}},"key":"23B6"},{"category":"So","mappings":{"default":{"default":"radical symbol bottom"}},"key":"23B7"},{"category":"So","mappings":{"default":{"default":"left vertical box line"}},"key":"23B8"},{"category":"So","mappings":{"default":{"default":"right vertical box line"}},"key":"23B9"},{"category":"Sm","mappings":{"default":{"default":"top parenthesis"},"mathspeak":{"brief":"top p'ren","sbrief":"t p'ren"}},"key":"23DC"},{"category":"Sm","mappings":{"default":{"default":"bottom parenthesis"},"mathspeak":{"brief":"bottom p'ren","sbrief":"b p'ren"}},"key":"23DD"},{"category":"Sm","mappings":{"default":{"default":"top brace"},"mathspeak":{"sbrief":"T brace"}},"key":"23DE"},{"category":"Sm","mappings":{"default":{"default":"bottom brace"},"mathspeak":{"sbrief":"B brace"}},"key":"23DF"},{"category":"Sm","mappings":{"default":{"default":"top tortoise shell bracket"}},"key":"23E0"},{"category":"Sm","mappings":{"default":{"default":"bottom tortoise shell bracket"}},"key":"23E1"},{"category":"Ps","mappings":{"default":{"default":"medium left parenthesis ornament"},"mathspeak":{"brief":"medium left p'ren ornament","sbrief":"medium L p'ren ornament"}},"key":"2768"},{"category":"Pe","mappings":{"default":{"default":"medium right parenthesis ornament"},"mathspeak":{"brief":"medium right p'ren ornament","sbrief":"medium R p'ren ornament"}},"key":"2769"},{"category":"Ps","mappings":{"default":{"default":"medium flattened left parenthesis ornament"},"mathspeak":{"brief":"medium flattened left p'ren ornament","sbrief":"medium flattened L p'ren ornament"}},"key":"276A"},{"category":"Pe","mappings":{"default":{"default":"medium flattened right parenthesis ornament"},"mathspeak":{"brief":"medium flattened right p'ren ornament","sbrief":"medium flattened R p'ren ornament"}},"key":"276B"},{"category":"Ps","mappings":{"default":{"default":"medium left pointing angle bracket ornament"}},"key":"276C"},{"category":"Pe","mappings":{"default":{"default":"medium right pointing angle bracket ornament"}},"key":"276D"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle quotation mark ornament"}},"key":"276E"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle quotation mark ornament"}},"key":"276F"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle bracket ornament"}},"key":"2770"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle bracket ornament"}},"key":"2771"},{"category":"Ps","mappings":{"default":{"default":"light left tortoise shell bracket ornament"}},"key":"2772"},{"category":"Pe","mappings":{"default":{"default":"light right tortoise shell bracket ornament"}},"key":"2773"},{"category":"Ps","mappings":{"default":{"default":"medium left brace ornament"},"mathspeak":{"sbrief":"medium L brace ornament"}},"key":"2774"},{"category":"Pe","mappings":{"default":{"default":"medium right brace ornament"},"mathspeak":{"sbrief":"medium R brace ornament"}},"key":"2775"},{"category":"Ps","mappings":{"default":{"default":"left s shaped bag delimiter"}},"key":"27C5"},{"category":"Pe","mappings":{"default":{"default":"right s shaped bag delimiter"}},"key":"27C6"},{"category":"Ps","mappings":{"default":{"default":"left white bracket"}},"key":"27E6"},{"category":"Pe","mappings":{"default":{"default":"right white bracket"}},"key":"27E7"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket"},"mathspeak":{"sbrief":"l angle bracket"}},"key":"27E8"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket"},"mathspeak":{"sbrief":"r angle bracket"}},"key":"27E9"},{"category":"Ps","mappings":{"default":{"default":"left double angle bracket"}},"key":"27EA"},{"category":"Pe","mappings":{"default":{"default":"right double angle bracket"}},"key":"27EB"},{"category":"Ps","mappings":{"default":{"default":"left white tortoise shell bracket"}},"key":"27EC"},{"category":"Pe","mappings":{"default":{"default":"right white tortoise shell bracket"}},"key":"27ED"},{"category":"Ps","mappings":{"default":{"default":"flattened left parenthesis"},"mathspeak":{"brief":"flattened left p'ren","sbrief":"flattened L p'ren"}},"key":"27EE"},{"category":"Pe","mappings":{"default":{"default":"flattened right parenthesis"},"mathspeak":{"brief":"flattened right p'ren","sbrief":"flattened R p'ren"}},"key":"27EF"},{"category":"Ps","mappings":{"default":{"default":"left white brace"}},"key":"2983"},{"category":"Pe","mappings":{"default":{"default":"right white brace"}},"key":"2984"},{"category":"Ps","mappings":{"default":{"default":"white left parenthesis"},"mathspeak":{"brief":"white left p'ren","sbrief":"white L p'ren"}},"key":"2985"},{"category":"Pe","mappings":{"default":{"default":"white right parenthesis"},"mathspeak":{"brief":"white right p'ren","sbrief":"white R p'ren"}},"key":"2986"},{"category":"Ps","mappings":{"default":{"default":"z notation left image bracket"}},"key":"2987"},{"category":"Pe","mappings":{"default":{"default":"z notation right image bracket"}},"key":"2988"},{"category":"Ps","mappings":{"default":{"default":"z notation left binding bracket"}},"key":"2989"},{"category":"Pe","mappings":{"default":{"default":"z notation right binding bracket"}},"key":"298A"},{"category":"Ps","mappings":{"default":{"default":"left bracket with underbar"},"mathspeak":{"brief":"left brack with underbar","sbrief":"L brack with underbar"}},"key":"298B"},{"category":"Pe","mappings":{"default":{"default":"right bracket with underbar"},"mathspeak":{"brief":"right brack with underbar","sbrief":"R brack with underbar"}},"key":"298C"},{"category":"Ps","mappings":{"default":{"default":"left bracket with tick in top corner"},"mathspeak":{"brief":"left brack with tick in top corner","sbrief":"L brack with tick in top corner"}},"key":"298D"},{"category":"Pe","mappings":{"default":{"default":"right bracket with tick in bottom corner"},"mathspeak":{"brief":"right brack with tick in bottom corner","sbrief":"R brack with tick in bottom corner"}},"key":"298E"},{"category":"Ps","mappings":{"default":{"default":"left bracket with tick in bottom corner"},"mathspeak":{"brief":"left brack with tick in bottom corner","sbrief":"L brack with tick in bottom corner"}},"key":"298F"},{"category":"Pe","mappings":{"default":{"default":"right bracket with tick in top corner"},"mathspeak":{"brief":"right brack with tick in top corner","sbrief":"R brack with tick in top corner"}},"key":"2990"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket with dot"},"mathspeak":{"sbrief":"l angle bracket with dot"}},"key":"2991"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket with dot"},"mathspeak":{"sbrief":"r angle bracket with dot"}},"key":"2992"},{"category":"Ps","mappings":{"default":{"default":"left arc less than bracket"}},"key":"2993"},{"category":"Pe","mappings":{"default":{"default":"right arc greater than bracket"}},"key":"2994"},{"category":"Ps","mappings":{"default":{"default":"double left arc greater than bracket"}},"key":"2995"},{"category":"Pe","mappings":{"default":{"default":"double right arc less than bracket"}},"key":"2996"},{"category":"Ps","mappings":{"default":{"default":"left black tortoise shell bracket"}},"key":"2997"},{"category":"Pe","mappings":{"default":{"default":"right black tortoise shell bracket"}},"key":"2998"},{"category":"Ps","mappings":{"default":{"default":"left wiggly fence"}},"key":"29D8"},{"category":"Pe","mappings":{"default":{"default":"right wiggly fence"}},"key":"29D9"},{"category":"Ps","mappings":{"default":{"default":"left double wiggly fence"}},"key":"29DA"},{"category":"Pe","mappings":{"default":{"default":"right double wiggly fence"}},"key":"29DB"},{"category":"Ps","mappings":{"default":{"default":"left pointing curved angle bracket"}},"key":"29FC"},{"category":"Pe","mappings":{"default":{"default":"right pointing curved angle bracket"}},"key":"29FD"},{"category":"Ps","mappings":{"default":{"default":"top half left bracket"},"mathspeak":{"brief":"top half left brack","sbrief":"top half L brack"}},"key":"2E22"},{"category":"Pe","mappings":{"default":{"default":"top half right bracket"},"mathspeak":{"brief":"top half right brack","sbrief":"top half R brack"}},"key":"2E23"},{"category":"Ps","mappings":{"default":{"default":"bottom half left bracket"},"mathspeak":{"brief":"bottom half left brack","sbrief":"bottom half L brack"}},"key":"2E24"},{"category":"Pe","mappings":{"default":{"default":"bottom half right bracket"},"mathspeak":{"brief":"bottom half right brack","sbrief":"bottom half R brack"}},"key":"2E25"},{"category":"Ps","mappings":{"default":{"default":"left sideways U bracket"}},"key":"2E26"},{"category":"Pe","mappings":{"default":{"default":"right sideways U bracket"}},"key":"2E27"},{"category":"Ps","mappings":{"default":{"default":"double left parenthesis"},"mathspeak":{"brief":"double left p'ren","sbrief":"double L p'ren"}},"key":"2E28"},{"category":"Pe","mappings":{"default":{"default":"double right parenthesis"},"mathspeak":{"brief":"double right p'ren","sbrief":"double R p'ren"}},"key":"2E29"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket"},"mathspeak":{"sbrief":"l angle bracket"}},"key":"3008"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket"},"mathspeak":{"sbrief":"r angle bracket"}},"key":"3009"},{"category":"Ps","mappings":{"default":{"default":"left double angle bracket"}},"key":"300A"},{"category":"Pe","mappings":{"default":{"default":"right double angle bracket"}},"key":"300B"},{"category":"Ps","mappings":{"default":{"default":"left corner bracket"}},"key":"300C"},{"category":"Pe","mappings":{"default":{"default":"right corner bracket"}},"key":"300D"},{"category":"Ps","mappings":{"default":{"default":"left white corner bracket"}},"key":"300E"},{"category":"Pe","mappings":{"default":{"default":"right white corner bracket"}},"key":"300F"},{"category":"Ps","mappings":{"default":{"default":"left black lenticular bracket"}},"key":"3010"},{"category":"Pe","mappings":{"default":{"default":"right black lenticular bracket"}},"key":"3011"},{"category":"Ps","mappings":{"default":{"default":"left tortoise shell bracket"}},"key":"3014"},{"category":"Pe","mappings":{"default":{"default":"right tortoise shell bracket"}},"key":"3015"},{"category":"Ps","mappings":{"default":{"default":"left white lenticular bracket"}},"key":"3016"},{"category":"Pe","mappings":{"default":{"default":"right white lenticular bracket"}},"key":"3017"},{"category":"Ps","mappings":{"default":{"default":"left white tortoise shell bracket"}},"key":"3018"},{"category":"Pe","mappings":{"default":{"default":"right white tortoise shell bracket"}},"key":"3019"},{"category":"Ps","mappings":{"default":{"default":"left white bracket"}},"key":"301A"},{"category":"Pe","mappings":{"default":{"default":"right white bracket"}},"key":"301B"},{"category":"Ps","mappings":{"default":{"default":"reversed double prime quotation mark"}},"key":"301D"},{"category":"Pe","mappings":{"default":{"default":"double prime quotation mark"}},"key":"301E"},{"category":"Pe","mappings":{"default":{"default":"low double prime quotation mark"}},"key":"301F"},{"category":"Ps","mappings":{"default":{"default":"ornate left parenthesis"},"mathspeak":{"brief":"ornate left p'ren","sbrief":"ornate L p'ren"}},"key":"FD3E"},{"category":"Pe","mappings":{"default":{"default":"ornate right parenthesis"},"mathspeak":{"brief":"ornate right p'ren","sbrief":"ornate R p'ren"}},"key":"FD3F"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white lenticular bracket"}},"key":"FE17"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white lenticular brakcet"}},"key":"FE18"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left parenthesis"},"mathspeak":{"brief":"presentation form for vertical left p'ren","sbrief":"presentation form for vertical L p'ren"}},"key":"FE35"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right parenthesis"},"mathspeak":{"brief":"presentation form for vertical right p'ren","sbrief":"presentation form for vertical R p'ren"}},"key":"FE36"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left brace"},"mathspeak":{"sbrief":"presentation form for vertical L brace"}},"key":"FE37"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right brace"},"mathspeak":{"sbrief":"presentation form for vertical r brace"}},"key":"FE38"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left tortoise shell bracket"}},"key":"FE39"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right tortoise shell bracket"}},"key":"FE3A"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left black lenticular bracket"}},"key":"FE3B"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right black lenticular bracket"}},"key":"FE3C"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left double angle bracket"}},"key":"FE3D"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right double angle bracket"}},"key":"FE3E"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left angle bracket"},"mathspeak":{"sbrief":"presentation form for vertical l angle bracket"}},"key":"FE3F"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right angle bracket"},"mathspeak":{"sbrief":"presentation form for vertical r angle bracket"}},"key":"FE40"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left corner bracket"}},"key":"FE41"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right corner bracket"}},"key":"FE42"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white corner bracket"}},"key":"FE43"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white corner bracket"}},"key":"FE44"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left bracket"},"mathspeak":{"brief":"presentation form for vertical left brack","sbrief":"presentation form for vertical L brack"}},"key":"FE47"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right bracket"},"mathspeak":{"brief":"presentation form for vertical right brack","sbrief":"presentation form for vertical r brack"}},"key":"FE48"},{"category":"Ps","mappings":{"default":{"default":"small left parenthesis"},"mathspeak":{"brief":"small left p'ren","sbrief":"small L p'ren"}},"key":"FE59"},{"category":"Pe","mappings":{"default":{"default":"small right parenthesis"},"mathspeak":{"brief":"small right p'ren","sbrief":"small R p'ren"}},"key":"FE5A"},{"category":"Ps","mappings":{"default":{"default":"small left brace"},"mathspeak":{"sbrief":"small L brace"}},"key":"FE5B"},{"category":"Pe","mappings":{"default":{"default":"small right brace"},"mathspeak":{"sbrief":"small r brace"}},"key":"FE5C"},{"category":"Ps","mappings":{"default":{"default":"small left tortoise shell bracket"}},"key":"FE5D"},{"category":"Pe","mappings":{"default":{"default":"small right tortoise shell bracket"}},"key":"FE5E"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left parenthesis"},"mathspeak":{"brief":"fullwidth left p'ren","sbrief":"fullwidth L p'ren"}},"key":"FF08"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right parenthesis"},"mathspeak":{"brief":"fullwidth right p'ren","sbrief":"fullwidth R p'ren"}},"key":"FF09"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left bracket"},"mathspeak":{"brief":"fullwidth left brack","sbrief":"fullwidth L brack"}},"key":"FF3B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right bracket"},"mathspeak":{"brief":"fullwidth right brack","sbrief":"fullwidth r brack"}},"key":"FF3D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left brace"},"mathspeak":{"sbrief":"fullwidth L brace"}},"key":"FF5B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right brace"},"mathspeak":{"sbrief":"fullwidth r brace"}},"key":"FF5D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth white left parenthesis"},"mathspeak":{"brief":"fullwidth white left p'ren","sbrief":"fullwidth white L p'ren"}},"key":"FF5F"},{"category":"Pe","mappings":{"default":{"default":"fullwidth white right parenthesis"},"mathspeak":{"brief":"fullwidth white right p'ren","sbrief":"fullwidth white R p'ren"}},"key":"FF60"},{"category":"Ps","mappings":{"default":{"default":"halfwidth left corner bracket"}},"key":"FF62"},{"category":"Pe","mappings":{"default":{"default":"halfwidth right corner bracket"}},"key":"FF63"}]
 ,
-"en/math_delimiters.js": 
-[{"locale":"en"},{"category":"Ps","mappings":{"default":{"default":"left parenthesis","alternative":"opening parenthesis"},"mathspeak":{"default":"left-parenthesis","brief":"left-p'ren","sbrief":"L p'ren"}},"key":"0028"},{"category":"Pe","mappings":{"default":{"default":"right parenthesis","alternative":"closing parenthesis"},"mathspeak":{"default":"right-parenthesis","brief":"right-p'ren","sbrief":"R p'ren"}},"key":"0029"},{"category":"Ps","mappings":{"default":{"default":"left square bracket","alternative":"opening square bracket"},"mathspeak":{"default":"left-bracket","brief":"left-brack","sbrief":"L brack"}},"key":"005B"},{"category":"Pe","mappings":{"default":{"default":"right square bracket","alternative":"closing square bracket"},"mathspeak":{"default":"right-bracket","brief":"right-brack","sbrief":"R brack"}},"key":"005D"},{"category":"Ps","mappings":{"default":{"default":"left curly bracket","alternative":"opening curly bracket"},"mathspeak":{"default":"left-brace","sbrief":"L brace"}},"key":"007B"},{"category":"Pe","mappings":{"default":{"default":"right curly bracket","alternative":"closing curly bracket"},"mathspeak":{"default":"right-brace","sbrief":"R brace"}},"key":"007D"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with quill"},"mathspeak":{"default":"left-bracket with quill","brief":"left-brack with quill","sbrief":"L brack with quill"}},"key":"2045"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with quill"},"mathspeak":{"default":"right-bracket with quill","brief":"right-brack with quill","sbrief":"R brack with quill"}},"key":"2046"},{"category":"Sm","mappings":{"default":{"default":"left ceiling"}},"key":"2308"},{"category":"Sm","mappings":{"default":{"default":"right ceiling"}},"key":"2309"},{"category":"Sm","mappings":{"default":{"default":"left floor"}},"key":"230A"},{"category":"Sm","mappings":{"default":{"default":"right floor"}},"key":"230B"},{"category":"So","mappings":{"default":{"default":"bottom right crop"}},"key":"230C"},{"category":"So","mappings":{"default":{"default":"bottom left crop"}},"key":"230D"},{"category":"So","mappings":{"default":{"default":"top right crop"}},"key":"230E"},{"category":"So","mappings":{"default":{"default":"top left crop"}},"key":"230F"},{"category":"So","mappings":{"default":{"default":"top left corner"}},"key":"231C"},{"category":"So","mappings":{"default":{"default":"top right corner"}},"key":"231D"},{"category":"So","mappings":{"default":{"default":"bottom left corner"}},"key":"231E"},{"category":"So","mappings":{"default":{"default":"bottom right corner"}},"key":"231F"},{"category":"Sm","mappings":{"default":{"default":"top half integral"}},"key":"2320"},{"category":"Sm","mappings":{"default":{"default":"bottom half integral"}},"key":"2321"},{"category":"Ps","mappings":{"default":{"default":"left pointing angle bracket","alternative":"bra"},"mathspeak":{"default":"left pointing angle"}},"key":"2329"},{"category":"Pe","mappings":{"default":{"default":"right pointing angle bracket","alternative":"ket"},"mathspeak":{"default":"right pointing angle"}},"key":"232A"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis upper hook"},"mathspeak":{"default":"left-parenthesis upper hook","brief":"left-p'ren upper hook","sbrief":"L p'ren upper hook"}},"key":"239B"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis extension"},"mathspeak":{"default":"left-parenthesis extension","brief":"left-p'ren extension","sbrief":"L p'ren extension"}},"key":"239C"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis lower hook"},"mathspeak":{"default":"left-parenthesis lower hook","brief":"left-p'ren lower hook","sbrief":"L p'ren lower hook"}},"key":"239D"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis upper hook"},"mathspeak":{"default":"right-parenthesis upper hook","brief":"right-p'ren upper hook","sbrief":"R p'ren upper hook"}},"key":"239E"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis extension"},"mathspeak":{"default":"right-parenthesis extension","brief":"right-p'ren extension","sbrief":"R p'ren extension"}},"key":"239F"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis lower hook"},"mathspeak":{"default":"right-parenthesis lower hook","brief":"right-p'ren lower hook","sbrief":"R p'ren lower hook"}},"key":"23A0"},{"category":"Sm","mappings":{"default":{"default":"left square bracket upper corner"},"mathspeak":{"default":"left-bracket upper corner","brief":"left-brack upper corner","sbrief":"L brack upper corner"}},"key":"23A1"},{"category":"Sm","mappings":{"default":{"default":"left square bracket extension"},"mathspeak":{"default":"left-bracket extension","brief":"left-brack extension","sbrief":"L brack extension"}},"key":"23A2"},{"category":"Sm","mappings":{"default":{"default":"left square bracket lower corner"},"mathspeak":{"default":"left-bracket lower corner","brief":"left-brack lower corner","sbrief":"L brack lower corner"}},"key":"23A3"},{"category":"Sm","mappings":{"default":{"default":"right square bracket upper corner"},"mathspeak":{"default":"right-bracket upper corner","brief":"right-brack upper corner","sbrief":"R brack upper corner"}},"key":"23A4"},{"category":"Sm","mappings":{"default":{"default":"right square bracket extension"},"mathspeak":{"default":"right-bracket extension","brief":"right-brack extension","sbrief":"R brack extension"}},"key":"23A5"},{"category":"Sm","mappings":{"default":{"default":"right square bracket lower corner"},"mathspeak":{"default":"right-bracket lower corner","brief":"right-brack lower corner","sbrief":"R brack lower corner"}},"key":"23A6"},{"category":"Sm","mappings":{"default":{"default":"left curly bracket upper hook"},"mathspeak":{"default":"left-brace upper hook","sbrief":"L brace upper hook"}},"key":"23A7"},{"category":"Sm","mappings":{"default":{"default":"left curly bracket middle piece"},"mathspeak":{"default":"left-brace middle piece","sbrief":"L brace middle piece"}},"key":"23A8"},{"category":"Sm","mappings":{"default":{"default":"left curly bracket lower hook"},"mathspeak":{"default":"left-brace lower hook","sbrief":"L brace lower hook"}},"key":"23A9"},{"category":"Sm","mappings":{"default":{"default":"curly bracket extension"},"mathspeak":{"default":"brace extension"}},"key":"23AA"},{"category":"Sm","mappings":{"default":{"default":"right curly bracket upper hook"},"mathspeak":{"default":"right-brace upper hook","sbrief":"R brace upper hook"}},"key":"23AB"},{"category":"Sm","mappings":{"default":{"default":"right curly bracket middle piece"},"mathspeak":{"default":"right-brace middle piece","sbrief":"R brace middle piece"}},"key":"23AC"},{"category":"Sm","mappings":{"default":{"default":"right curly bracket lower hook"},"mathspeak":{"default":"right-brace lower hook","sbrief":"R brace lower hook"}},"key":"23AD"},{"category":"Sm","mappings":{"default":{"default":"integral extension"}},"key":"23AE"},{"category":"Sm","mappings":{"default":{"default":"horizontal line extension"}},"key":"23AF"},{"category":"Sm","mappings":{"default":{"default":"upper left or lower right curly bracket section"},"mathspeak":{"default":"upper left or lower right-brace section"}},"key":"23B0"},{"category":"Sm","mappings":{"default":{"default":"upper right or lower left curly bracket section"},"mathspeak":{"default":"upper right or lower left-brace section"}},"key":"23B1"},{"category":"Sm","mappings":{"default":{"default":"summation top"}},"key":"23B2"},{"category":"Sm","mappings":{"default":{"default":"summation bottom"}},"key":"23B3"},{"category":"So","mappings":{"default":{"default":"top square bracket"},"mathspeak":{"default":"top-bracket","brief":"top-brack","sbrief":"T brack"}},"key":"23B4"},{"category":"So","mappings":{"default":{"default":"bottom square bracket"},"mathspeak":{"default":"bottom-bracket","brief":"bottom-brack","sbrief":"B brack"}},"key":"23B5"},{"category":"So","mappings":{"default":{"default":"bottom square bracket over top square bracket"},"mathspeak":{"default":"bottom-bracket over top-bracket","brief":"bottom-brack over top-brack","sbrief":"B brack over T brack"}},"key":"23B6"},{"category":"So","mappings":{"default":{"default":"radical symbol bottom"}},"key":"23B7"},{"category":"So","mappings":{"default":{"default":"left vertical box line"}},"key":"23B8"},{"category":"So","mappings":{"default":{"default":"right vertical box line"}},"key":"23B9"},{"category":"Sm","mappings":{"default":{"default":"top parenthesis"},"mathspeak":{"default":"top-parenthesis","brief":"top-p'ren","sbrief":"t p'ren"}},"key":"23DC"},{"category":"Sm","mappings":{"default":{"default":"bottom parenthesis"},"mathspeak":{"default":"bottom-parenthesis","brief":"bottom-p'ren","sbrief":"b p'ren"}},"key":"23DD"},{"category":"Sm","mappings":{"default":{"default":"top curly bracket"},"mathspeak":{"default":"top-brace","sbrief":"T brace"}},"key":"23DE"},{"category":"Sm","mappings":{"default":{"default":"bottom curly bracket"},"mathspeak":{"default":"bottom-brace","sbrief":"B brace"}},"key":"23DF"},{"category":"Sm","mappings":{"default":{"default":"top tortoise shell bracket"}},"key":"23E0"},{"category":"Sm","mappings":{"default":{"default":"bottom tortoise shell bracket"}},"key":"23E1"},{"category":"Ps","mappings":{"default":{"default":"medium left parenthesis ornament"},"mathspeak":{"default":"medium left-parenthesis ornament","brief":"medium left-p'ren ornament","sbrief":"medium L p'ren ornament"}},"key":"2768"},{"category":"Pe","mappings":{"default":{"default":"medium right parenthesis ornament"},"mathspeak":{"default":"medium right-parenthesis ornament","brief":"medium right-p'ren ornament","sbrief":"medium R p'ren ornament"}},"key":"2769"},{"category":"Ps","mappings":{"default":{"default":"medium flattened left parenthesis ornament"},"mathspeak":{"default":"medium flattened left-parenthesis ornament","brief":"medium flattened left-p'ren ornament","sbrief":"medium flattened L p'ren ornament"}},"key":"276A"},{"category":"Pe","mappings":{"default":{"default":"medium flattened right parenthesis ornament"},"mathspeak":{"default":"medium flattened right-parenthesis ornament","brief":"medium flattened right-p'ren ornament","sbrief":"medium flattened R p'ren ornament"}},"key":"276B"},{"category":"Ps","mappings":{"default":{"default":"medium left pointing angle bracket ornament"},"mathspeak":{"default":"medium left pointing angle ornament"}},"key":"276C"},{"category":"Pe","mappings":{"default":{"default":"medium right pointing angle bracket ornament"},"mathspeak":{"default":"medium right pointing angle ornament"}},"key":"276D"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle quotation mark ornament"}},"key":"276E"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle quotation mark ornament"}},"key":"276F"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle bracket ornament"},"mathspeak":{"default":"heavy left pointing angle ornament"}},"key":"2770"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle bracket ornament"},"mathspeak":{"default":"heavy right pointing angle ornament"}},"key":"2771"},{"category":"Ps","mappings":{"default":{"default":"light left tortoise shell bracket ornament"}},"key":"2772"},{"category":"Pe","mappings":{"default":{"default":"light right tortoise shell bracket ornament"}},"key":"2773"},{"category":"Ps","mappings":{"default":{"default":"medium left curly bracket ornament"},"mathspeak":{"default":"medium left-brace ornament","sbrief":"medium L brace ornament"}},"key":"2774"},{"category":"Pe","mappings":{"default":{"default":"medium right curly bracket ornament"},"mathspeak":{"default":"medium right-brace ornament","sbrief":"medium R brace ornament"}},"key":"2775"},{"category":"Ps","mappings":{"default":{"default":"left s shaped bag delimiter"}},"key":"27C5"},{"category":"Pe","mappings":{"default":{"default":"right s shaped bag delimiter"}},"key":"27C6"},{"category":"Ps","mappings":{"default":{"default":"mathematical left white square bracket"},"mathspeak":{"default":"mathematical left white bracket"}},"key":"27E6"},{"category":"Pe","mappings":{"default":{"default":"mathematical right white square bracket"},"mathspeak":{"default":"mathematical right white bracket"}},"key":"27E7"},{"category":"Ps","mappings":{"default":{"default":"mathematical left angle bracket"},"mathspeak":{"default":"mathematical left-angle","sbrief":"mathematical l angle"}},"key":"27E8"},{"category":"Pe","mappings":{"default":{"default":"mathematical right angle bracket"},"mathspeak":{"default":"mathematical right-angle","sbrief":"mathematical r angle"}},"key":"27E9"},{"category":"Ps","mappings":{"default":{"default":"mathematical left double angle bracket"},"mathspeak":{"default":"mathematical left double angle"}},"key":"27EA"},{"category":"Pe","mappings":{"default":{"default":"mathematical right double angle bracket"},"mathspeak":{"default":"mathematical right double angle"}},"key":"27EB"},{"category":"Ps","mappings":{"default":{"default":"mathematical left white tortoise shell bracket"}},"key":"27EC"},{"category":"Pe","mappings":{"default":{"default":"mathematical right white tortoise shell bracket"}},"key":"27ED"},{"category":"Ps","mappings":{"default":{"default":"mathematical left flattened parenthesis"},"mathspeak":{"default":"mathematical flattened left-parenthesis","brief":"mathematical flattened left-p'ren","sbrief":"mathematical flattened L p'ren"}},"key":"27EE"},{"category":"Pe","mappings":{"default":{"default":"mathematical right flattened parenthesis"},"mathspeak":{"default":"mathematical flattened right-parenthesis","brief":"mathematical flattened right-p'ren","sbrief":"mathematical flattened R p'ren"}},"key":"27EF"},{"category":"Ps","mappings":{"default":{"default":"left white curly bracket"},"mathspeak":{"default":"left white brace"}},"key":"2983"},{"category":"Pe","mappings":{"default":{"default":"right white curly bracket"},"mathspeak":{"default":"right white brace"}},"key":"2984"},{"category":"Ps","mappings":{"default":{"default":"left white parenthesis"},"mathspeak":{"default":"white left-parenthesis","brief":"white left-p'ren","sbrief":"white L p'ren"}},"key":"2985"},{"category":"Pe","mappings":{"default":{"default":"right white parenthesis"},"mathspeak":{"default":"white right-parenthesis","brief":"white right-p'ren","sbrief":"white R p'ren"}},"key":"2986"},{"category":"Ps","mappings":{"default":{"default":"z notation left image bracket"}},"key":"2987"},{"category":"Pe","mappings":{"default":{"default":"z notation right image bracket"}},"key":"2988"},{"category":"Ps","mappings":{"default":{"default":"z notation left binding bracket"}},"key":"2989"},{"category":"Pe","mappings":{"default":{"default":"z notation right binding bracket"}},"key":"298A"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with underbar"},"mathspeak":{"default":"left-bracket with underbar","brief":"left-brack with underbar","sbrief":"L brack with underbar"}},"key":"298B"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with underbar"},"mathspeak":{"default":"right-bracket with underbar","brief":"right-brack with underbar","sbrief":"R brack with underbar"}},"key":"298C"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with tick in top corner"},"mathspeak":{"default":"left-bracket with tick in top corner","brief":"left-brack with tick in top corner","sbrief":"L brack with tick in top corner"}},"key":"298D"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with tick in bottom corner"},"mathspeak":{"default":"right-bracket with tick in bottom corner","brief":"right-brack with tick in bottom corner","sbrief":"R brack with tick in bottom corner"}},"key":"298E"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with tick in bottom corner"},"mathspeak":{"default":"left-bracket with tick in bottom corner","brief":"left-brack with tick in bottom corner","sbrief":"L brack with tick in bottom corner"}},"key":"298F"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with tick in top corner"},"mathspeak":{"default":"right-bracket with tick in top corner","brief":"right-brack with tick in top corner","sbrief":"R brack with tick in top corner"}},"key":"2990"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket with dot"},"mathspeak":{"default":"left-angle with dot","sbrief":"l angle with dot"}},"key":"2991"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket with dot"},"mathspeak":{"default":"right-angle with dot","sbrief":"r angle with dot"}},"key":"2992"},{"category":"Ps","mappings":{"default":{"default":"left arc less than bracket"}},"key":"2993"},{"category":"Pe","mappings":{"default":{"default":"right arc greater than bracket"}},"key":"2994"},{"category":"Ps","mappings":{"default":{"default":"double left arc greater than bracket"}},"key":"2995"},{"category":"Pe","mappings":{"default":{"default":"double right arc less than bracket"}},"key":"2996"},{"category":"Ps","mappings":{"default":{"default":"left black tortoise shell bracket"}},"key":"2997"},{"category":"Pe","mappings":{"default":{"default":"right black tortoise shell bracket"}},"key":"2998"},{"category":"Ps","mappings":{"default":{"default":"left wiggly fence"}},"key":"29D8"},{"category":"Pe","mappings":{"default":{"default":"right wiggly fence"}},"key":"29D9"},{"category":"Ps","mappings":{"default":{"default":"left double wiggly fence"}},"key":"29DA"},{"category":"Pe","mappings":{"default":{"default":"right double wiggly fence"}},"key":"29DB"},{"category":"Ps","mappings":{"default":{"default":"left pointing curved angle bracket"},"mathspeak":{"default":"left pointing curved angle"}},"key":"29FC"},{"category":"Pe","mappings":{"default":{"default":"right pointing curved angle bracket"},"mathspeak":{"default":"right pointing curved angle"}},"key":"29FD"},{"category":"Ps","mappings":{"default":{"default":"top left half bracket"},"mathspeak":{"default":"top half left-bracket","brief":"top half left-brack","sbrief":"top half L brack"}},"key":"2E22"},{"category":"Pe","mappings":{"default":{"default":"top right half bracket"},"mathspeak":{"default":"top half right-bracket","brief":"top half right-brack","sbrief":"top half R brack"}},"key":"2E23"},{"category":"Ps","mappings":{"default":{"default":"bottom left half bracket"},"mathspeak":{"default":"bottom half left-bracket","brief":"bottom half left-brack","sbrief":"bottom half L brack"}},"key":"2E24"},{"category":"Pe","mappings":{"default":{"default":"bottom right half bracket"},"mathspeak":{"default":"bottom half right-bracket","brief":"bottom half right-brack","sbrief":"bottom half R brack"}},"key":"2E25"},{"category":"Ps","mappings":{"default":{"default":"left sideways U bracket"}},"key":"2E26"},{"category":"Pe","mappings":{"default":{"default":"right sideways U bracket"}},"key":"2E27"},{"category":"Ps","mappings":{"default":{"default":"left double parenthesis"},"mathspeak":{"default":"double left-parenthesis","brief":"double left-p'ren","sbrief":"double L p'ren"}},"key":"2E28"},{"category":"Pe","mappings":{"default":{"default":"right double parenthesis"},"mathspeak":{"default":"double right-parenthesis","brief":"double right-p'ren","sbrief":"double R p'ren"}},"key":"2E29"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket","alternative":"opening angle bracket"},"mathspeak":{"default":"left-angle","sbrief":"l angle"}},"key":"3008"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket","alternative":"closing angle bracket"},"mathspeak":{"default":"right-angle","sbrief":"r angle"}},"key":"3009"},{"category":"Ps","mappings":{"default":{"default":"left double angle bracket","alternative":"opening double angle bracket"},"mathspeak":{"default":"left double angle"}},"key":"300A"},{"category":"Pe","mappings":{"default":{"default":"right double angle bracket","alternative":"closing double angle bracket"},"mathspeak":{"default":"right double angle"}},"key":"300B"},{"category":"Ps","mappings":{"default":{"default":"left corner bracket","alternative":"opening corner bracket"}},"key":"300C"},{"category":"Pe","mappings":{"default":{"default":"right corner bracket","alternative":"closing corner bracket"}},"key":"300D"},{"category":"Ps","mappings":{"default":{"default":"left white corner bracket","alternative":"opening white corner bracket"}},"key":"300E"},{"category":"Pe","mappings":{"default":{"default":"right white corner bracket","alternative":"closing white corner bracket"}},"key":"300F"},{"category":"Ps","mappings":{"default":{"default":"left black lenticular bracket","alternative":"opening black lenticular bracket"}},"key":"3010"},{"category":"Pe","mappings":{"default":{"default":"right black lenticular bracket","alternative":"closing black lenticular bracket"}},"key":"3011"},{"category":"Ps","mappings":{"default":{"default":"left tortoise shell bracket","alternative":"opening tortoise shell bracket"}},"key":"3014"},{"category":"Pe","mappings":{"default":{"default":"right tortoise shell bracket","alternative":"closing tortoise shell bracket"}},"key":"3015"},{"category":"Ps","mappings":{"default":{"default":"left white lenticular bracket","alternative":"opening white lenticular bracket"}},"key":"3016"},{"category":"Pe","mappings":{"default":{"default":"right white lenticular bracket","alternative":"closing white lenticular bracket"}},"key":"3017"},{"category":"Ps","mappings":{"default":{"default":"left white tortoise shell bracket","alternative":"opening white tortoise shell bracket"}},"key":"3018"},{"category":"Pe","mappings":{"default":{"default":"right white tortoise shell bracket","alternative":"closing white tortoise shell bracket"}},"key":"3019"},{"category":"Ps","mappings":{"default":{"default":"left white square bracket","alternative":"opening white square bracket"},"mathspeak":{"default":"left white bracket"}},"key":"301A"},{"category":"Pe","mappings":{"default":{"default":"right white square bracket","alternative":"closing white square bracket"},"mathspeak":{"default":"right white bracket"}},"key":"301B"},{"category":"Ps","mappings":{"default":{"default":"reversed double prime quotation mark"}},"key":"301D"},{"category":"Pe","mappings":{"default":{"default":"double prime quotation mark"}},"key":"301E"},{"category":"Pe","mappings":{"default":{"default":"low double prime quotation mark"}},"key":"301F"},{"category":"Ps","mappings":{"default":{"default":"ornate left parenthesis"},"mathspeak":{"default":"ornate left-parenthesis","brief":"ornate left-p'ren","sbrief":"ornate L p'ren"}},"key":"FD3E"},{"category":"Pe","mappings":{"default":{"default":"ornate right parenthesis"},"mathspeak":{"default":"ornate right-parenthesis","brief":"ornate right-p'ren","sbrief":"ornate R p'ren"}},"key":"FD3F"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white lenticular bracket"}},"key":"FE17"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white lenticular brakcet"}},"key":"FE18"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left parenthesis","alternative":"glyph for vertical opening parenthesis"},"mathspeak":{"default":"presentation form for vertical left-parenthesis","brief":"presentation form for vertical left-p'ren","sbrief":"presentation form for vertical L p'ren"}},"key":"FE35"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right parenthesis","alternative":"glyph for vertical closing parenthesis"},"mathspeak":{"default":"presentation form for vertical right-parenthesis","brief":"presentation form for vertical right-p'ren","sbrief":"presentation form for vertical R p'ren"}},"key":"FE36"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left curly bracket","alternative":"glyph for vertical opening curly bracket"},"mathspeak":{"default":"presentation form for vertical left-brace","sbrief":"presentation form for vertical L brace"}},"key":"FE37"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right curly bracket","alternative":"glyph for vertical closing curly bracket"},"mathspeak":{"default":"presentation form for vertical right-brace","sbrief":"presentation form for vertical r brace"}},"key":"FE38"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left tortoise shell bracket","alternative":"glyph for vertical opening tortoise shell bracket"}},"key":"FE39"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right tortoise shell bracket","alternative":"glyph for vertical closing tortoise shell bracket"}},"key":"FE3A"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left black lenticular bracket","alternative":"glyph for vertical opening black lenticular bracket"}},"key":"FE3B"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right black lenticular bracket","alternative":"glyph for vertical closing black lenticular bracket"}},"key":"FE3C"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left double angle bracket","alternative":"glyph for vertical opening double angle bracket"},"mathspeak":{"default":"presentation form for vertical left double angle"}},"key":"FE3D"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right double angle bracket","alternative":"glyph for vertical closing double angle bracket"},"mathspeak":{"default":"presentation form for vertical right double angle"}},"key":"FE3E"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left angle bracket","alternative":"glyph for vertical opening angle bracket"},"mathspeak":{"default":"presentation form for vertical left-angle","sbrief":"presentation form for vertical l angle"}},"key":"FE3F"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right angle bracket","alternative":"glyph for vertical closing angle bracket"},"mathspeak":{"default":"presentation form for vertical right-angle","sbrief":"presentation form for vertical r angle"}},"key":"FE40"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left corner bracket","alternative":"glyph for vertical opening corner bracket"}},"key":"FE41"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right corner bracket","alternative":"glyph for vertical closing corner bracket"}},"key":"FE42"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white corner bracket","alternative":"glyph for vertical opening white corner bracket"}},"key":"FE43"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white corner bracket","alternative":"glyph for vertical closing white corner bracket"}},"key":"FE44"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left square bracket"},"mathspeak":{"default":"presentation form for vertical left-bracket","brief":"presentation form for vertical left-brack","sbrief":"presentation form for vertical L brack"}},"key":"FE47"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right square bracket"},"mathspeak":{"default":"presentation form for vertical right-bracket","brief":"presentation form for vertical right-brack","sbrief":"presentation form for vertical r brack"}},"key":"FE48"},{"category":"Ps","mappings":{"default":{"default":"small left parenthesis","alternative":"small opening parenthesis"},"mathspeak":{"default":"small left-parenthesis","brief":"small left-p'ren","sbrief":"small L p'ren"}},"key":"FE59"},{"category":"Pe","mappings":{"default":{"default":"small right parenthesis","alternative":"small closing parenthesis"},"mathspeak":{"default":"small right-parenthesis","brief":"small right-p'ren","sbrief":"small R p'ren"}},"key":"FE5A"},{"category":"Ps","mappings":{"default":{"default":"small left curly bracket","alternative":"small opening curly bracket"},"mathspeak":{"default":"small left-brace","sbrief":"small L brace"}},"key":"FE5B"},{"category":"Pe","mappings":{"default":{"default":"small right curly bracket","alternative":"small closing curly bracket"},"mathspeak":{"default":"small right-brace","sbrief":"small r brace"}},"key":"FE5C"},{"category":"Ps","mappings":{"default":{"default":"small left tortoise shell bracket","alternative":"small opening tortoise shell bracket"}},"key":"FE5D"},{"category":"Pe","mappings":{"default":{"default":"small right tortoise shell bracket","alternative":"small closing tortoise shell bracket"}},"key":"FE5E"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left parenthesis","alternative":"fullwidth opening parenthesis"},"mathspeak":{"default":"fullwidth left-parenthesis","brief":"fullwidth left-p'ren","sbrief":"fullwidth L p'ren"}},"key":"FF08"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right parenthesis","alternative":"fullwidth closing parenthesis"},"mathspeak":{"default":"fullwidth right-parenthesis","brief":"fullwidth right-p'ren","sbrief":"fullwidth R p'ren"}},"key":"FF09"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left square bracket","alternative":"fullwidth opening square bracket"},"mathspeak":{"default":"fullwidth left-bracket","brief":"fullwidth left-brack","sbrief":"fullwidth L brack"}},"key":"FF3B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right square bracket","alternative":"fullwidth closing square bracket"},"mathspeak":{"default":"fullwidth right-bracket","brief":"fullwidth right-brack","sbrief":"fullwidth r brack"}},"key":"FF3D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left curly bracket","alternative":"fullwidth opening curly bracket"},"mathspeak":{"default":"fullwidth left-brace","sbrief":"fullwidth L brace"}},"key":"FF5B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right curly bracket","alternative":"fullwidth closing curly bracket"},"mathspeak":{"default":"fullwidth right-brace","sbrief":"fullwidth r brace"}},"key":"FF5D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth white left parenthesis"},"mathspeak":{"default":"fullwidth white left-parenthesis","brief":"fullwidth white left-p'ren","sbrief":"fullwidth white L p'ren"}},"key":"FF5F"},{"category":"Pe","mappings":{"default":{"default":"fullwidth white right parenthesis"},"mathspeak":{"default":"fullwidth white right-parenthesis","brief":"fullwidth white right-p'ren","sbrief":"fullwidth white R p'ren"}},"key":"FF60"},{"category":"Ps","mappings":{"default":{"default":"halfwidth left corner bracket","alternative":"halfwidth opening corner bracket"}},"key":"FF62"},{"category":"Pe","mappings":{"default":{"default":"halfwidth right corner bracket","alternative":"halfwidth closing corner bracket"}},"key":"FF63"}]
+"en/symbols/math_geometry.js": 
+[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"box drawings light horizontal"}},"key":"2500"},{"category":"So","mappings":{"default":{"default":"box drawings heavy horizontal"}},"key":"2501"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical"}},"key":"2502"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical"}},"key":"2503"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash horizontal"}},"key":"2504"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash horizontal"}},"key":"2505"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash vertical"}},"key":"2506"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash vertical"}},"key":"2507"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash horizontal"}},"key":"2508"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash horizontal"}},"key":"2509"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash vertical"}},"key":"250A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash vertical"}},"key":"250B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and right"}},"key":"250C"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right heavy"}},"key":"250D"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right light"}},"key":"250E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and right"}},"key":"250F"},{"category":"So","mappings":{"default":{"default":"box drawings light down and left"}},"key":"2510"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left heavy"}},"key":"2511"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left light"}},"key":"2512"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and left"}},"key":"2513"},{"category":"So","mappings":{"default":{"default":"box drawings light up and right"}},"key":"2514"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right heavy"}},"key":"2515"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right light"}},"key":"2516"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and right"}},"key":"2517"},{"category":"So","mappings":{"default":{"default":"box drawings light up and left"}},"key":"2518"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left heavy"}},"key":"2519"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left light"}},"key":"251A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and left"}},"key":"251B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and right"}},"key":"251C"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and right heavy"}},"key":"251D"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right down light"}},"key":"251E"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right up light"}},"key":"251F"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and right light"}},"key":"2520"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right up heavy"}},"key":"2521"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right down heavy"}},"key":"2522"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and right"}},"key":"2523"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and left"}},"key":"2524"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and left heavy"}},"key":"2525"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left down light"}},"key":"2526"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left up light"}},"key":"2527"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and left light"}},"key":"2528"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left up heavy"}},"key":"2529"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left down heavy"}},"key":"252A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and left"}},"key":"252B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and horizontal"}},"key":"252C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right down light"}},"key":"252D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left down light"}},"key":"252E"},{"category":"So","mappings":{"default":{"default":"box drawings down light and horizontal heavy"}},"key":"252F"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and horizontal light"}},"key":"2530"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left down heavy"}},"key":"2531"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right down heavy"}},"key":"2532"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and horizontal"}},"key":"2533"},{"category":"So","mappings":{"default":{"default":"box drawings light up and horizontal"}},"key":"2534"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right up light"}},"key":"2535"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left up light"}},"key":"2536"},{"category":"So","mappings":{"default":{"default":"box drawings up light and horizontal heavy"}},"key":"2537"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and horizontal light"}},"key":"2538"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left up heavy"}},"key":"2539"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right up heavy"}},"key":"253A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and horizontal"}},"key":"253B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and horizontal"}},"key":"253C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right vertical light"}},"key":"253D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left vertical light"}},"key":"253E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and horizontal heavy"}},"key":"253F"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and down horizontal light"}},"key":"2540"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and up horizontal light"}},"key":"2541"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and horizontal light"}},"key":"2542"},{"category":"So","mappings":{"default":{"default":"box drawings left up heavy and right down light"}},"key":"2543"},{"category":"So","mappings":{"default":{"default":"box drawings right up heavy and left down light"}},"key":"2544"},{"category":"So","mappings":{"default":{"default":"box drawings left down heavy and right up light"}},"key":"2545"},{"category":"So","mappings":{"default":{"default":"box drawings right down heavy and left up light"}},"key":"2546"},{"category":"So","mappings":{"default":{"default":"box drawings down light and up horizontal heavy"}},"key":"2547"},{"category":"So","mappings":{"default":{"default":"box drawings up light and down horizontal heavy"}},"key":"2548"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left vertical heavy"}},"key":"2549"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right vertical heavy"}},"key":"254A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and horizontal"}},"key":"254B"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash horizontal"}},"key":"254C"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash horizontal"}},"key":"254D"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash vertical"}},"key":"254E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash vertical"}},"key":"254F"},{"category":"So","mappings":{"default":{"default":"box drawings double horizontal"}},"key":"2550"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical"}},"key":"2551"},{"category":"So","mappings":{"default":{"default":"box drawings down single and right double"}},"key":"2552"},{"category":"So","mappings":{"default":{"default":"box drawings down double and right single"}},"key":"2553"},{"category":"So","mappings":{"default":{"default":"box drawings double down and right"}},"key":"2554"},{"category":"So","mappings":{"default":{"default":"box drawings down single and left double"}},"key":"2555"},{"category":"So","mappings":{"default":{"default":"box drawings down double and left single"}},"key":"2556"},{"category":"So","mappings":{"default":{"default":"box drawings double down and left"}},"key":"2557"},{"category":"So","mappings":{"default":{"default":"box drawings up single and right double"}},"key":"2558"},{"category":"So","mappings":{"default":{"default":"box drawings up double and right single"}},"key":"2559"},{"category":"So","mappings":{"default":{"default":"box drawings double up and right"}},"key":"255A"},{"category":"So","mappings":{"default":{"default":"box drawings up single and left double"}},"key":"255B"},{"category":"So","mappings":{"default":{"default":"box drawings up double and left single"}},"key":"255C"},{"category":"So","mappings":{"default":{"default":"box drawings double up and left"}},"key":"255D"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and right double"}},"key":"255E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and right single"}},"key":"255F"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and right"}},"key":"2560"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and left double"}},"key":"2561"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and left single"}},"key":"2562"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and left"}},"key":"2563"},{"category":"So","mappings":{"default":{"default":"box drawings down single and horizontal double"}},"key":"2564"},{"category":"So","mappings":{"default":{"default":"box drawings down double and horizontal single"}},"key":"2565"},{"category":"So","mappings":{"default":{"default":"box drawings double down and horizontal"}},"key":"2566"},{"category":"So","mappings":{"default":{"default":"box drawings up single and horizontal double"}},"key":"2567"},{"category":"So","mappings":{"default":{"default":"box drawings up double and horizontal single"}},"key":"2568"},{"category":"So","mappings":{"default":{"default":"box drawings double up and horizontal"}},"key":"2569"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and horizontal double"}},"key":"256A"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and horizontal single"}},"key":"256B"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and horizontal"}},"key":"256C"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and right"}},"key":"256D"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and left"}},"key":"256E"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and left"}},"key":"256F"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and right"}},"key":"2570"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper right to lower left"}},"key":"2571"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper left to lower right"}},"key":"2572"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal cross"}},"key":"2573"},{"category":"So","mappings":{"default":{"default":"box drawings light left"}},"key":"2574"},{"category":"So","mappings":{"default":{"default":"box drawings light up"}},"key":"2575"},{"category":"So","mappings":{"default":{"default":"box drawings light right"}},"key":"2576"},{"category":"So","mappings":{"default":{"default":"box drawings light down"}},"key":"2577"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left"}},"key":"2578"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up"}},"key":"2579"},{"category":"So","mappings":{"default":{"default":"box drawings heavy right"}},"key":"257A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down"}},"key":"257B"},{"category":"So","mappings":{"default":{"default":"box drawings light left and heavy right"}},"key":"257C"},{"category":"So","mappings":{"default":{"default":"box drawings light up and heavy down"}},"key":"257D"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left and light right"}},"key":"257E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and light down"}},"key":"257F"},{"category":"So","mappings":{"default":{"default":"upper half block"}},"key":"2580"},{"category":"So","mappings":{"default":{"default":"lower one eighth block"}},"key":"2581"},{"category":"So","mappings":{"default":{"default":"lower one quarter block"}},"key":"2582"},{"category":"So","mappings":{"default":{"default":"lower three eighths block"}},"key":"2583"},{"category":"So","mappings":{"default":{"default":"lower half block"}},"key":"2584"},{"category":"So","mappings":{"default":{"default":"lower five eighths block"}},"key":"2585"},{"category":"So","mappings":{"default":{"default":"lower three quarters block"}},"key":"2586"},{"category":"So","mappings":{"default":{"default":"lower seven eighths block"}},"key":"2587"},{"category":"So","mappings":{"default":{"default":"full block"}},"key":"2588"},{"category":"So","mappings":{"default":{"default":"left seven eighths block"}},"key":"2589"},{"category":"So","mappings":{"default":{"default":"left three quarters block"}},"key":"258A"},{"category":"So","mappings":{"default":{"default":"left five eighths block"}},"key":"258B"},{"category":"So","mappings":{"default":{"default":"left half block"}},"key":"258C"},{"category":"So","mappings":{"default":{"default":"left three eighths block"}},"key":"258D"},{"category":"So","mappings":{"default":{"default":"left one quarter block"}},"key":"258E"},{"category":"So","mappings":{"default":{"default":"left one eighth block"}},"key":"258F"},{"category":"So","mappings":{"default":{"default":"right half block"}},"key":"2590"},{"category":"So","mappings":{"default":{"default":"light shade"}},"key":"2591"},{"category":"So","mappings":{"default":{"default":"medium shade"}},"key":"2592"},{"category":"So","mappings":{"default":{"default":"dark shade"}},"key":"2593"},{"category":"So","mappings":{"default":{"default":"upper one eighth block"}},"key":"2594"},{"category":"So","mappings":{"default":{"default":"right one eighth block"}},"key":"2595"},{"category":"So","mappings":{"default":{"default":"quadrant lower left"}},"key":"2596"},{"category":"So","mappings":{"default":{"default":"quadrant lower right"}},"key":"2597"},{"category":"So","mappings":{"default":{"default":"quadrant upper left"}},"key":"2598"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower left and lower right"}},"key":"2599"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower right"}},"key":"259A"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower left"}},"key":"259B"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower right"}},"key":"259C"},{"category":"So","mappings":{"default":{"default":"quadrant upper right"}},"key":"259D"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left"}},"key":"259E"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left and lower right"}},"key":"259F"},{"category":"So","mappings":{"default":{"default":"black square"}},"key":"25A0"},{"category":"So","mappings":{"default":{"default":"white square"}},"key":"25A1"},{"category":"So","mappings":{"default":{"default":"white square with rounded corners"}},"key":"25A2"},{"category":"So","mappings":{"default":{"default":"white square containing black small square"}},"key":"25A3"},{"category":"So","mappings":{"default":{"default":"square with horizontal fill"}},"key":"25A4"},{"category":"So","mappings":{"default":{"default":"square with vertical fill"}},"key":"25A5"},{"category":"So","mappings":{"default":{"default":"square with orthogonal crosshatch fill"}},"key":"25A6"},{"category":"So","mappings":{"default":{"default":"square with upper left to lower right fill"}},"key":"25A7"},{"category":"So","mappings":{"default":{"default":"square with upper right to lower left fill"}},"key":"25A8"},{"category":"So","mappings":{"default":{"default":"square with diagonal crosshatch fill"}},"key":"25A9"},{"category":"So","mappings":{"default":{"default":"black small square"}},"key":"25AA"},{"category":"So","mappings":{"default":{"default":"white small square"}},"key":"25AB"},{"category":"So","mappings":{"default":{"default":"black rectangle"}},"key":"25AC"},{"category":"So","mappings":{"default":{"default":"white rectangle"}},"key":"25AD"},{"category":"So","mappings":{"default":{"default":"black vertical rectangle"}},"key":"25AE"},{"category":"So","mappings":{"default":{"default":"white vertical rectangle"}},"key":"25AF"},{"category":"So","mappings":{"default":{"default":"black parallelogram"}},"key":"25B0"},{"category":"So","mappings":{"default":{"default":"white parallelogram"}},"key":"25B1"},{"category":"So","mappings":{"default":{"default":"black up pointing triangle"}},"key":"25B2"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle"}},"key":"25B3"},{"category":"So","mappings":{"default":{"default":"black up pointing small triangle"}},"key":"25B4"},{"category":"So","mappings":{"default":{"default":"white up pointing small triangle"}},"key":"25B5"},{"category":"So","mappings":{"default":{"default":"black right pointing triangle"}},"key":"25B6"},{"category":"Sm","mappings":{"default":{"default":"white right pointing triangle"}},"key":"25B7"},{"category":"So","mappings":{"default":{"default":"black right pointing small triangle"}},"key":"25B8"},{"category":"So","mappings":{"default":{"default":"white right pointing small triangle"}},"key":"25B9"},{"category":"So","mappings":{"default":{"default":"black right pointing pointer"}},"key":"25BA"},{"category":"So","mappings":{"default":{"default":"white right pointing pointer"}},"key":"25BB"},{"category":"So","mappings":{"default":{"default":"black down pointing triangle"}},"key":"25BC"},{"category":"So","mappings":{"default":{"default":"white down pointing triangle"}},"key":"25BD"},{"category":"So","mappings":{"default":{"default":"black down pointing small triangle"}},"key":"25BE"},{"category":"So","mappings":{"default":{"default":"white down pointing small triangle"}},"key":"25BF"},{"category":"So","mappings":{"default":{"default":"black left pointing triangle"}},"key":"25C0"},{"category":"Sm","mappings":{"default":{"default":"white left pointing triangle"}},"key":"25C1"},{"category":"So","mappings":{"default":{"default":"black left pointing small triangle"}},"key":"25C2"},{"category":"So","mappings":{"default":{"default":"white left pointing small triangle"}},"key":"25C3"},{"category":"So","mappings":{"default":{"default":"black left pointing pointer"}},"key":"25C4"},{"category":"So","mappings":{"default":{"default":"white left pointing pointer"}},"key":"25C5"},{"category":"So","mappings":{"default":{"default":"black diamond"}},"key":"25C6"},{"category":"So","mappings":{"default":{"default":"white diamond"}},"key":"25C7"},{"category":"So","mappings":{"default":{"default":"white diamond containing black small diamond"}},"key":"25C8"},{"category":"So","mappings":{"default":{"default":"fisheye"}},"key":"25C9"},{"category":"So","mappings":{"default":{"default":"lozenge"}},"key":"25CA"},{"category":"So","mappings":{"default":{"default":"white circle"}},"key":"25CB"},{"category":"So","mappings":{"default":{"default":"dotted circle"}},"key":"25CC"},{"category":"So","mappings":{"default":{"default":"circle with vertical fill"}},"key":"25CD"},{"category":"So","mappings":{"default":{"default":"bullseye"}},"key":"25CE"},{"category":"So","mappings":{"default":{"default":"black circle"}},"key":"25CF"},{"category":"So","mappings":{"default":{"default":"circle with left half black"}},"key":"25D0"},{"category":"So","mappings":{"default":{"default":"circle with right half black"}},"key":"25D1"},{"category":"So","mappings":{"default":{"default":"circle with lower half black"}},"key":"25D2"},{"category":"So","mappings":{"default":{"default":"circle with upper half black"}},"key":"25D3"},{"category":"So","mappings":{"default":{"default":"circle with upper right quadrant black"}},"key":"25D4"},{"category":"So","mappings":{"default":{"default":"circle with all but upper left quadrant black"}},"key":"25D5"},{"category":"So","mappings":{"default":{"default":"left half black circle"}},"key":"25D6"},{"category":"So","mappings":{"default":{"default":"right half black circle"}},"key":"25D7"},{"category":"So","mappings":{"default":{"default":"inverse bullet"}},"key":"25D8"},{"category":"So","mappings":{"default":{"default":"inverse white circle"}},"key":"25D9"},{"category":"So","mappings":{"default":{"default":"upper half inverse white circle"}},"key":"25DA"},{"category":"So","mappings":{"default":{"default":"lower half inverse white circle"}},"key":"25DB"},{"category":"So","mappings":{"default":{"default":"upper left quadrant circular arc"}},"key":"25DC"},{"category":"So","mappings":{"default":{"default":"upper right quadrant circular arc"}},"key":"25DD"},{"category":"So","mappings":{"default":{"default":"lower right quadrant circular arc"}},"key":"25DE"},{"category":"So","mappings":{"default":{"default":"lower left quadrant circular arc"}},"key":"25DF"},{"category":"So","mappings":{"default":{"default":"upper half circle"}},"key":"25E0"},{"category":"So","mappings":{"default":{"default":"lower half circle"}},"key":"25E1"},{"category":"So","mappings":{"default":{"default":"black lower right triangle"}},"key":"25E2"},{"category":"So","mappings":{"default":{"default":"black lower left triangle"}},"key":"25E3"},{"category":"So","mappings":{"default":{"default":"black upper left triangle"}},"key":"25E4"},{"category":"So","mappings":{"default":{"default":"black upper right triangle"}},"key":"25E5"},{"category":"So","mappings":{"default":{"default":"white bullet"}},"key":"25E6"},{"category":"So","mappings":{"default":{"default":"square with left half black"}},"key":"25E7"},{"category":"So","mappings":{"default":{"default":"square with right half black"}},"key":"25E8"},{"category":"So","mappings":{"default":{"default":"square with upper left diagonal half black"}},"key":"25E9"},{"category":"So","mappings":{"default":{"default":"square with lower right diagonal half black"}},"key":"25EA"},{"category":"So","mappings":{"default":{"default":"white square with vertical bisecting line"}},"key":"25EB"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle with dot"}},"key":"25EC"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with left half black"}},"key":"25ED"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with right half black"}},"key":"25EE"},{"category":"So","mappings":{"default":{"default":"large circle"}},"key":"25EF"},{"category":"So","mappings":{"default":{"default":"white square with upper left quadrant"}},"key":"25F0"},{"category":"So","mappings":{"default":{"default":"white square with lower left quadrant"}},"key":"25F1"},{"category":"So","mappings":{"default":{"default":"white square with lower right quadrant"}},"key":"25F2"},{"category":"So","mappings":{"default":{"default":"white square with upper right quadrant"}},"key":"25F3"},{"category":"So","mappings":{"default":{"default":"white circle with upper left quadrant"}},"key":"25F4"},{"category":"So","mappings":{"default":{"default":"white circle with lower left quadrant"}},"key":"25F5"},{"category":"So","mappings":{"default":{"default":"white circle with lower right quadrant"}},"key":"25F6"},{"category":"So","mappings":{"default":{"default":"white circle with upper right quadrant"}},"key":"25F7"},{"category":"Sm","mappings":{"default":{"default":"upper left triangle"}},"key":"25F8"},{"category":"Sm","mappings":{"default":{"default":"upper right triangle"}},"key":"25F9"},{"category":"Sm","mappings":{"default":{"default":"lower left triangle"}},"key":"25FA"},{"category":"Sm","mappings":{"default":{"default":"white medium square"}},"key":"25FB"},{"category":"Sm","mappings":{"default":{"default":"black medium square"}},"key":"25FC"},{"category":"Sm","mappings":{"default":{"default":"white medium small square"}},"key":"25FD"},{"category":"Sm","mappings":{"default":{"default":"black medium small square"}},"key":"25FE"},{"category":"Sm","mappings":{"default":{"default":"lower right triangle"}},"key":"25FF"},{"category":"So","mappings":{"default":{"default":"square with top half black"}},"key":"2B12"},{"category":"So","mappings":{"default":{"default":"square with bottom half black"}},"key":"2B13"},{"category":"So","mappings":{"default":{"default":"square with upper right diagonal half black"}},"key":"2B14"},{"category":"So","mappings":{"default":{"default":"square with lower left diagonal half black"}},"key":"2B15"},{"category":"So","mappings":{"default":{"default":"diamond with left half black"}},"key":"2B16"},{"category":"So","mappings":{"default":{"default":"diamond with right half black"}},"key":"2B17"},{"category":"So","mappings":{"default":{"default":"diamond with top half black"}},"key":"2B18"},{"category":"So","mappings":{"default":{"default":"diamond with bottom half black"}},"key":"2B19"},{"category":"So","mappings":{"default":{"default":"dotted square"}},"key":"2B1A"},{"category":"So","mappings":{"default":{"default":"black large square"}},"key":"2B1B"},{"category":"So","mappings":{"default":{"default":"white large square"}},"key":"2B1C"},{"category":"So","mappings":{"default":{"default":"black very small square"}},"key":"2B1D"},{"category":"So","mappings":{"default":{"default":"white very small square"}},"key":"2B1E"},{"category":"So","mappings":{"default":{"default":"black pentagon"}},"key":"2B1F"},{"category":"So","mappings":{"default":{"default":"white pentagon"}},"key":"2B20"},{"category":"So","mappings":{"default":{"default":"white hexagon"}},"key":"2B21"},{"category":"So","mappings":{"default":{"default":"black hexagon"}},"key":"2B22"},{"category":"So","mappings":{"default":{"default":"horizontal black hexagon"}},"key":"2B23"},{"category":"So","mappings":{"default":{"default":"black large circle"}},"key":"2B24"},{"category":"So","mappings":{"default":{"default":"black medium diamond"}},"key":"2B25"},{"category":"So","mappings":{"default":{"default":"white medium diamond"}},"key":"2B26"},{"category":"So","mappings":{"default":{"default":"black medium lozenge"}},"key":"2B27"},{"category":"So","mappings":{"default":{"default":"white medium lozenge"}},"key":"2B28"},{"category":"So","mappings":{"default":{"default":"black small diamond"}},"key":"2B29"},{"category":"So","mappings":{"default":{"default":"black small lozenge"}},"key":"2B2A"},{"category":"So","mappings":{"default":{"default":"white small lozenge"}},"key":"2B2B"},{"category":"So","mappings":{"default":{"default":"black horizontal ellipse"}},"key":"2B2C"},{"category":"So","mappings":{"default":{"default":"white horizontal ellipse"}},"key":"2B2D"},{"category":"So","mappings":{"default":{"default":"black vertical ellipse"}},"key":"2B2E"},{"category":"So","mappings":{"default":{"default":"white vertical ellipse"}},"key":"2B2F"},{"category":"So","mappings":{"default":{"default":"white medium star"}},"key":"2B50"},{"category":"So","mappings":{"default":{"default":"black small star"}},"key":"2B51"},{"category":"So","mappings":{"default":{"default":"white small star"}},"key":"2B52"},{"category":"So","mappings":{"default":{"default":"black right pointing pentagon"}},"key":"2B53"},{"category":"So","mappings":{"default":{"default":"white right pointing pentagon"}},"key":"2B54"},{"category":"So","mappings":{"default":{"default":"heavy large circle"}},"key":"2B55"},{"category":"So","mappings":{"default":{"default":"heavy oval with oval inside"}},"key":"2B56"},{"category":"So","mappings":{"default":{"default":"heavy circle with circle inside"}},"key":"2B57"},{"category":"So","mappings":{"default":{"default":"heavy circle"}},"key":"2B58"},{"category":"So","mappings":{"default":{"default":"heavy circled saltire"}},"key":"2B59"}]
 ,
-"en/math_digits.js": 
-[{"locale":"en"},{"category":"Nd","mappings":{"default":{"default":"digit zero","short":"zero"},"mathspeak":{"default":"0"}},"key":"0030"},{"category":"Nd","mappings":{"default":{"default":"digit one","short":"one"},"mathspeak":{"default":"1"}},"key":"0031"},{"category":"Nd","mappings":{"default":{"default":"digit two","short":"two"},"mathspeak":{"default":"2"}},"key":"0032"},{"category":"Nd","mappings":{"default":{"default":"digit three","short":"three"},"mathspeak":{"default":"3"}},"key":"0033"},{"category":"Nd","mappings":{"default":{"default":"digit four","short":"four"},"mathspeak":{"default":"4"}},"key":"0034"},{"category":"Nd","mappings":{"default":{"default":"digit five","short":"five"},"mathspeak":{"default":"5"}},"key":"0035"},{"category":"Nd","mappings":{"default":{"default":"digit six","short":"six"},"mathspeak":{"default":"6"}},"key":"0036"},{"category":"Nd","mappings":{"default":{"default":"digit seven","short":"seven"},"mathspeak":{"default":"7"}},"key":"0037"},{"category":"Nd","mappings":{"default":{"default":"digit eight","short":"eight"},"mathspeak":{"default":"8"}},"key":"0038"},{"category":"Nd","mappings":{"default":{"default":"digit nine","short":"nine"},"mathspeak":{"default":"9"}},"key":"0039"},{"category":"No","mappings":{"default":{"default":"superscript digit two","alternative":"superscript two","short":"square"},"mathspeak":{"default":"9"}},"key":"00B2"},{"category":"No","mappings":{"default":{"default":"superscript digit three","alternative":"superscript three","short":"cube"}},"key":"00B3"},{"category":"No","mappings":{"default":{"default":"superscript digit one","alternative":"superscript one","short":"super one"}},"key":"00B9"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one quarter","alternative":"fraction one quarter","short":"one quarter"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one half","alternative":"fraction one half","short":"one half"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"vulgar fraction three quarters","alternative":"fraction three quarters","short":"three quarters"}},"key":"00BE"},{"category":"No","mappings":{"default":{"default":"superscript zero","short":"super zero"}},"key":"2070"},{"category":"No","mappings":{"default":{"default":"superscript digit four","alternative":"superscript four","short":"super four"}},"key":"2074"},{"category":"No","mappings":{"default":{"default":"superscript digit five","alternative":"superscript five","short":"super five"}},"key":"2075"},{"category":"No","mappings":{"default":{"default":"superscript digit six","alternative":"superscript six","short":"super six"}},"key":"2076"},{"category":"No","mappings":{"default":{"default":"superscript digit seven","alternative":"superscript seven","short":"super seven"}},"key":"2077"},{"category":"No","mappings":{"default":{"default":"superscript digit eight","alternative":"superscript eight","short":"super eight"}},"key":"2078"},{"category":"No","mappings":{"default":{"default":"superscript digit nine","alternative":"superscript nine","short":"super nine"}},"key":"2079"},{"category":"No","mappings":{"default":{"default":"subscript digit zero","alternative":"subscript zero","short":"sub zero"}},"key":"2080"},{"category":"No","mappings":{"default":{"default":"subscript digit one","alternative":"subscript one","short":"sub one"}},"key":"2081"},{"category":"No","mappings":{"default":{"default":"subscript digit two","alternative":"subscript two","short":"sub two"}},"key":"2082"},{"category":"No","mappings":{"default":{"default":"subscript digit three","alternative":"subscript three","short":"sub three"}},"key":"2083"},{"category":"No","mappings":{"default":{"default":"subscript digit four","alternative":"subscript four","short":"sub four"}},"key":"2084"},{"category":"No","mappings":{"default":{"default":"subscript digit five","alternative":"subscript five","short":"sub five"}},"key":"2085"},{"category":"No","mappings":{"default":{"default":"subscript digit six","alternative":"subscript six","short":"sub six"}},"key":"2086"},{"category":"No","mappings":{"default":{"default":"subscript digit seven","alternative":"subscript seven","short":"sub seven"}},"key":"2087"},{"category":"No","mappings":{"default":{"default":"subscript digit eight","alternative":"subscript eight","short":"sub eight"}},"key":"2088"},{"category":"No","mappings":{"default":{"default":"subscript digit nine","alternative":"subscript nine","short":"sub nine"}},"key":"2089"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one seventh","short":"one seventh"}},"key":"2150"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one ninth","short":"one ninth"}},"key":"2151"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one tenth","short":"one tenth"}},"key":"2152"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one third","alternative":"fraction one third","short":"one third"}},"key":"2153"},{"category":"No","mappings":{"default":{"default":"vulgar fraction two thirds","alternative":"fraction two thirds","short":"two thirds"}},"key":"2154"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one fifth","alternative":"fraction one fifth","short":"one fifth"}},"key":"2155"},{"category":"No","mappings":{"default":{"default":"vulgar fraction two fifths","alternative":"fraction two fifths","short":"two fifths"}},"key":"2156"},{"category":"No","mappings":{"default":{"default":"vulgar fraction three fifths","alternative":"fraction three fifths","short":"three fifths"}},"key":"2157"},{"category":"No","mappings":{"default":{"default":"vulgar fraction four fifths","alternative":"fraction four fifths","short":"four fifths"}},"key":"2158"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one sixth","alternative":"fraction one sixth","short":"one sixth"}},"key":"2159"},{"category":"No","mappings":{"default":{"default":"vulgar fraction five sixths","alternative":"fraction five sixths","short":"five sixths"}},"key":"215A"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one eighth","alternative":"fraction one eighth","short":"one eighth"}},"key":"215B"},{"category":"No","mappings":{"default":{"default":"vulgar fraction three eighths","alternative":"fraction three eighths","short":"three eighths"}},"key":"215C"},{"category":"No","mappings":{"default":{"default":"vulgar fraction five eighths","alternative":"fraction five eighths","short":"five eighths"}},"key":"215D"},{"category":"No","mappings":{"default":{"default":"vulgar fraction seven eighths","alternative":"fraction seven eighths","short":"seven eighths"}},"key":"215E"},{"category":"No","mappings":{"default":{"default":"fraction numerator one","short":"numerator one"}},"key":"215F"},{"category":"No","mappings":{"default":{"default":"vulgar fraction zero thirds","short":"zero thirds"}},"key":"2189"},{"category":"No","mappings":{"default":{"default":"circled digit one","short":"circled one"},"mathspeak":{"default":"circled 1"}},"key":"2460"},{"category":"No","mappings":{"default":{"default":"circled digit two","short":"circled two"},"mathspeak":{"default":"circled 2"}},"key":"2461"},{"category":"No","mappings":{"default":{"default":"circled digit three","short":"circled three"},"mathspeak":{"default":"circled 3"}},"key":"2462"},{"category":"No","mappings":{"default":{"default":"circled digit four","short":"circled four"},"mathspeak":{"default":"circled 4"}},"key":"2463"},{"category":"No","mappings":{"default":{"default":"circled digit five","short":"circled five"},"mathspeak":{"default":"circled 5"}},"key":"2464"},{"category":"No","mappings":{"default":{"default":"circled digit six","short":"circled six"},"mathspeak":{"default":"circled 6"}},"key":"2465"},{"category":"No","mappings":{"default":{"default":"circled digit seven","short":"circled seven"},"mathspeak":{"default":"circled 7"}},"key":"2466"},{"category":"No","mappings":{"default":{"default":"circled digit eight","short":"circled eight"},"mathspeak":{"default":"circled 8"}},"key":"2467"},{"category":"No","mappings":{"default":{"default":"circled digit nine","short":"circled nine"},"mathspeak":{"default":"circled 9"}},"key":"2468"},{"category":"No","mappings":{"default":{"default":"circled number ten","short":"circled ten"},"mathspeak":{"default":"circled 10"}},"key":"2469"},{"category":"No","mappings":{"default":{"default":"circled number eleven","short":"circled eleven"},"mathspeak":{"default":"circled 11"}},"key":"246A"},{"category":"No","mappings":{"default":{"default":"circled number twelve","short":"circled twelve"},"mathspeak":{"default":"circled 12"}},"key":"246B"},{"category":"No","mappings":{"default":{"default":"circled number thirteen","short":"circled thirteen"},"mathspeak":{"default":"circled 13"}},"key":"246C"},{"category":"No","mappings":{"default":{"default":"circled number fourteen","short":"circled fourteen"},"mathspeak":{"default":"circled 14"}},"key":"246D"},{"category":"No","mappings":{"default":{"default":"circled number fifteen","short":"circled fifteen"},"mathspeak":{"default":"circled 15"}},"key":"246E"},{"category":"No","mappings":{"default":{"default":"circled number sixteen","short":"circled sixteen"},"mathspeak":{"default":"circled 16"}},"key":"246F"},{"category":"No","mappings":{"default":{"default":"circled number seventeen","short":"circled seventeen"},"mathspeak":{"default":"circled 17"}},"key":"2470"},{"category":"No","mappings":{"default":{"default":"circled number eighteen","short":"circled eighteen"},"mathspeak":{"default":"circled 18"}},"key":"2471"},{"category":"No","mappings":{"default":{"default":"circled number nineteen","short":"circled nineteen"},"mathspeak":{"default":"circled 19"}},"key":"2472"},{"category":"No","mappings":{"default":{"default":"circled number twenty","short":"circled twenty"},"mathspeak":{"default":"circled 20"}},"key":"2473"},{"category":"No","mappings":{"default":{"default":"parenthesized digit one","short":"parenthesized one"},"mathspeak":{"default":"parenthesized 1"}},"key":"2474"},{"category":"No","mappings":{"default":{"default":"parenthesized digit two","short":"parenthesized two"},"mathspeak":{"default":"parenthesized 2"}},"key":"2475"},{"category":"No","mappings":{"default":{"default":"parenthesized digit three","short":"parenthesized three"},"mathspeak":{"default":"parenthesized 3"}},"key":"2476"},{"category":"No","mappings":{"default":{"default":"parenthesized digit four","short":"parenthesized four"},"mathspeak":{"default":"parenthesized 4"}},"key":"2477"},{"category":"No","mappings":{"default":{"default":"parenthesized digit five","short":"parenthesized five"},"mathspeak":{"default":"parenthesized 5"}},"key":"2478"},{"category":"No","mappings":{"default":{"default":"parenthesized digit six","short":"parenthesized six"},"mathspeak":{"default":"parenthesized 6"}},"key":"2479"},{"category":"No","mappings":{"default":{"default":"parenthesized digit seven","short":"parenthesized seven"},"mathspeak":{"default":"parenthesized 7"}},"key":"247A"},{"category":"No","mappings":{"default":{"default":"parenthesized digit eight","short":"parenthesized eight"},"mathspeak":{"default":"parenthesized 8"}},"key":"247B"},{"category":"No","mappings":{"default":{"default":"parenthesized digit nine","short":"parenthesized nine"},"mathspeak":{"default":"parenthesized 9"}},"key":"247C"},{"category":"No","mappings":{"default":{"default":"parenthesized number ten","short":"parenthesized ten"},"mathspeak":{"default":"parenthesized 10"}},"key":"247D"},{"category":"No","mappings":{"default":{"default":"parenthesized number eleven","short":"parenthesized eleven"},"mathspeak":{"default":"parenthesized 11"}},"key":"247E"},{"category":"No","mappings":{"default":{"default":"parenthesized number twelve","short":"parenthesized twelve"},"mathspeak":{"default":"parenthesized 12"}},"key":"247F"},{"category":"No","mappings":{"default":{"default":"parenthesized number thirteen","short":"parenthesized thirteen"},"mathspeak":{"default":"parenthesized 13"}},"key":"2480"},{"category":"No","mappings":{"default":{"default":"parenthesized number fourteen","short":"parenthesized fourteen"},"mathspeak":{"default":"parenthesized 14"}},"key":"2481"},{"category":"No","mappings":{"default":{"default":"parenthesized number fifteen","short":"parenthesized fifteen"},"mathspeak":{"default":"parenthesized 15"}},"key":"2482"},{"category":"No","mappings":{"default":{"default":"parenthesized number sixteen","short":"parenthesized sixteen"},"mathspeak":{"default":"parenthesized 16"}},"key":"2483"},{"category":"No","mappings":{"default":{"default":"parenthesized number seventeen","short":"parenthesized seventeen"},"mathspeak":{"default":"parenthesized 17"}},"key":"2484"},{"category":"No","mappings":{"default":{"default":"parenthesized number eighteen","short":"parenthesized eighteen"},"mathspeak":{"default":"parenthesized 18"}},"key":"2485"},{"category":"No","mappings":{"default":{"default":"parenthesized number nineteen","short":"parenthesized nineteen"},"mathspeak":{"default":"parenthesized 19"}},"key":"2486"},{"category":"No","mappings":{"default":{"default":"parenthesized number twenty","short":"parenthesized twenty"},"mathspeak":{"default":"parenthesized 20"}},"key":"2487"},{"category":"No","mappings":{"default":{"default":"digit one full stop","alternative":"digit one period","short":"one period"},"mathspeak":{"default":"1 period"}},"key":"2488"},{"category":"No","mappings":{"default":{"default":"digit two full stop","alternative":"digit two period","short":"two period"},"mathspeak":{"default":"2 period"}},"key":"2489"},{"category":"No","mappings":{"default":{"default":"digit three full stop","alternative":"digit three period","short":"three period"},"mathspeak":{"default":"3 period"}},"key":"248A"},{"category":"No","mappings":{"default":{"default":"digit four full stop","alternative":"digit four period","short":"four period"},"mathspeak":{"default":"4 period"}},"key":"248B"},{"category":"No","mappings":{"default":{"default":"digit five full stop","alternative":"digit five period","short":"five period"},"mathspeak":{"default":"5 period"}},"key":"248C"},{"category":"No","mappings":{"default":{"default":"digit six full stop","alternative":"digit six period","short":"six period"},"mathspeak":{"default":"6 period"}},"key":"248D"},{"category":"No","mappings":{"default":{"default":"digit seven full stop","alternative":"digit seven period","short":"seven period"},"mathspeak":{"default":"7 period"}},"key":"248E"},{"category":"No","mappings":{"default":{"default":"digit eight full stop","alternative":"digit eight period","short":"eight period"},"mathspeak":{"default":"8 period"}},"key":"248F"},{"category":"No","mappings":{"default":{"default":"digit nine full stop","alternative":"digit nine period","short":"nine period"},"mathspeak":{"default":"9 period"}},"key":"2490"},{"category":"No","mappings":{"default":{"default":"number ten full stop","alternative":"number ten period","short":"ten period"},"mathspeak":{"default":"10 period"}},"key":"2491"},{"category":"No","mappings":{"default":{"default":"number eleven full stop","alternative":"number eleven period","short":"eleven period"},"mathspeak":{"default":"11 period"}},"key":"2492"},{"category":"No","mappings":{"default":{"default":"number twelve full stop","alternative":"number twelve period","short":"twelve period"},"mathspeak":{"default":"12 period"}},"key":"2493"},{"category":"No","mappings":{"default":{"default":"number thirteen full stop","alternative":"number thirteen period","short":"thirteen period"},"mathspeak":{"default":"13 period"}},"key":"2494"},{"category":"No","mappings":{"default":{"default":"number fourteen full stop","alternative":"number fourteen period","short":"fourteen period"},"mathspeak":{"default":"14 period"}},"key":"2495"},{"category":"No","mappings":{"default":{"default":"number fifteen full stop","alternative":"number fifteen period","short":"fifteen period"},"mathspeak":{"default":"15 period"}},"key":"2496"},{"category":"No","mappings":{"default":{"default":"number sixteen full stop","alternative":"number sixteen period","short":"sixteen period"},"mathspeak":{"default":"16 period"}},"key":"2497"},{"category":"No","mappings":{"default":{"default":"number seventeen full stop","alternative":"number seventeen period","short":"seventeen period"},"mathspeak":{"default":"17 period"}},"key":"2498"},{"category":"No","mappings":{"default":{"default":"number eighteen full stop","alternative":"number eighteen period","short":"eighteen period"},"mathspeak":{"default":"18 period"}},"key":"2499"},{"category":"No","mappings":{"default":{"default":"number nineteen full stop","alternative":"number nineteen period","short":"nineteen period"},"mathspeak":{"default":"19 period"}},"key":"249A"},{"category":"No","mappings":{"default":{"default":"number twenty full stop","alternative":"number twenty period","short":"twenty period"},"mathspeak":{"default":"20 period"}},"key":"249B"},{"category":"No","mappings":{"default":{"default":"circled digit zero","short":"circled zero"},"mathspeak":{"default":"circled 0"}},"key":"24EA"},{"category":"No","mappings":{"default":{"default":"negative circled number eleven","short":"negative circled eleven"},"mathspeak":{"default":"negative circled 11"}},"key":"24EB"},{"category":"No","mappings":{"default":{"default":"negative circled number twelve","short":"negative circled twelve"},"mathspeak":{"default":"negative circled 12"}},"key":"24EC"},{"category":"No","mappings":{"default":{"default":"negative circled number thirteen","short":"negative circled thirteen"},"mathspeak":{"default":"negative circled 13"}},"key":"24ED"},{"category":"No","mappings":{"default":{"default":"negative circled number fourteen","short":"negative circled fourteen"},"mathspeak":{"default":"negative circled 14"}},"key":"24EE"},{"category":"No","mappings":{"default":{"default":"negative circled number fifteen","short":"negative circled fifteen"},"mathspeak":{"default":"negative circled 15"}},"key":"24EF"},{"category":"No","mappings":{"default":{"default":"negative circled number sixteen","short":"negative circled sixteen"},"mathspeak":{"default":"negative circled 16"}},"key":"24F0"},{"category":"No","mappings":{"default":{"default":"negative circled number seventeen","short":"negative circled seventeen"},"mathspeak":{"default":"negative circled 17"}},"key":"24F1"},{"category":"No","mappings":{"default":{"default":"negative circled number eighteen","short":"negative circled eighteen"},"mathspeak":{"default":"negative circled 18"}},"key":"24F2"},{"category":"No","mappings":{"default":{"default":"negative circled number nineteen","short":"negative circled nineteen"},"mathspeak":{"default":"negative circled 19"}},"key":"24F3"},{"category":"No","mappings":{"default":{"default":"negative circled number twenty","short":"negative circled twenty"},"mathspeak":{"default":"negative circled 20"}},"key":"24F4"},{"category":"No","mappings":{"default":{"default":"double circled digit one","short":"double circled one"},"mathspeak":{"default":"double circled 1"}},"key":"24F5"},{"category":"No","mappings":{"default":{"default":"double circled digit two","short":"double circled two"},"mathspeak":{"default":"double circled 2"}},"key":"24F6"},{"category":"No","mappings":{"default":{"default":"double circled digit three","short":"double circled three"},"mathspeak":{"default":"double circled 3"}},"key":"24F7"},{"category":"No","mappings":{"default":{"default":"double circled digit four","short":"double circled four"},"mathspeak":{"default":"double circled 4"}},"key":"24F8"},{"category":"No","mappings":{"default":{"default":"double circled digit five","short":"double circled five"},"mathspeak":{"default":"double circled 5"}},"key":"24F9"},{"category":"No","mappings":{"default":{"default":"double circled digit six","short":"double circled six"},"mathspeak":{"default":"double circled 6"}},"key":"24FA"},{"category":"No","mappings":{"default":{"default":"double circled digit seven","short":"double circled seven"},"mathspeak":{"default":"double circled 7"}},"key":"24FB"},{"category":"No","mappings":{"default":{"default":"double circled digit eight","short":"double circled eight"},"mathspeak":{"default":"double circled 8"}},"key":"24FC"},{"category":"No","mappings":{"default":{"default":"double circled digit nine","short":"double circled nine"},"mathspeak":{"default":"double circled 9"}},"key":"24FD"},{"category":"No","mappings":{"default":{"default":"double circled number ten","short":"double circled ten"},"mathspeak":{"default":"double circled 10"}},"key":"24FE"},{"category":"No","mappings":{"default":{"default":"negative circled digit zero","short":"negative circled zero"},"mathspeak":{"default":"negative circled 0"}},"key":"24FF"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit one","alternative":"inverse circled digit one","short":"inverse circled one"},"mathspeak":{"default":"inverse circled 1"}},"key":"2776"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit two","alternative":"inverse circled digit two","short":"inverse circled two"},"mathspeak":{"default":"inverse circled 2"}},"key":"2777"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit three","alternative":"inverse circled digit three","short":"inverse circled three"},"mathspeak":{"default":"inverse circled 3"}},"key":"2778"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit four","alternative":"inverse circled digit four","short":"inverse circled four"},"mathspeak":{"default":"inverse circled 4"}},"key":"2779"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit five","alternative":"inverse circled digit five","short":"inverse circled five"},"mathspeak":{"default":"inverse circled 5"}},"key":"277A"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit six","alternative":"inverse circled digit six","short":"inverse circled six"},"mathspeak":{"default":"inverse circled 6"}},"key":"277B"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit seven","alternative":"inverse circled digit seven","short":"inverse circled seven"},"mathspeak":{"default":"inverse circled 7"}},"key":"277C"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit eight","alternative":"inverse circled digit eight","short":"inverse circled eight"},"mathspeak":{"default":"inverse circled 8"}},"key":"277D"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit nine","alternative":"inverse circled digit nine","short":"inverse circled nine"},"mathspeak":{"default":"inverse circled 9"}},"key":"277E"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled number ten","alternative":"inverse circled number ten","short":"inverse circled ten"},"mathspeak":{"default":"inverse circled 10"}},"key":"277F"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit one","alternative":"circled sans serif digit one","short":"circled one"}},"key":"2780"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit two","alternative":"circled sans serif digit two","short":"circled two"}},"key":"2781"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit three","alternative":"circled sans serif digit three","short":"circled three"}},"key":"2782"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit four","alternative":"circled sans serif digit four","short":"circled four"}},"key":"2783"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit five","alternative":"circled sans serif digit five","short":"circled five"}},"key":"2784"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit six","alternative":"circled sans serif digit six","short":"circled six"}},"key":"2785"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit seven","alternative":"circled sans serif digit seven","short":"circled seven"}},"key":"2786"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit eight","alternative":"circled sans serif digit eight","short":"circled eight"}},"key":"2787"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit nine","alternative":"circled sans serif digit nine","short":"circled nine"}},"key":"2788"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif number ten","alternative":"circled sans serif number ten","short":"circled ten"}},"key":"2789"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit one","alternative":"inverse circled sans serif digit one","short":"inverse circled one"},"mathspeak":{"default":"inverse circled 1"}},"key":"278A"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit two","alternative":"inverse circled sans serif digit two","short":"inverse circled two"},"mathspeak":{"default":"inverse circled 2"}},"key":"278B"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit three","alternative":"inverse circled sans serif digit three","short":"inverse circled three"},"mathspeak":{"default":"inverse circled 3"}},"key":"278C"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit four","alternative":"inverse circled sans serif digit four","short":"inverse circled four"},"mathspeak":{"default":"inverse circled 4"}},"key":"278D"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit five","alternative":"inverse circled sans serif digit five","short":"inverse circled five"},"mathspeak":{"default":"inverse circled 5"}},"key":"278E"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit six","alternative":"inverse circled sans serif digit six","short":"inverse circled six"},"mathspeak":{"default":"inverse circled 6"}},"key":"278F"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit seven","alternative":"inverse circled sans serif digit seven","short":"inverse circled seven"},"mathspeak":{"default":"inverse circled 7"}},"key":"2790"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit eight","alternative":"inverse circled sans serif digit eight","short":"inverse circled eight"},"mathspeak":{"default":"inverse circled 8"}},"key":"2791"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit nine","alternative":"inverse circled sans serif digit nine","short":"inverse circled nine"},"mathspeak":{"default":"inverse circled 9"}},"key":"2792"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif number ten","alternative":"inverse circled sans serif number ten","short":"inverse circled ten"},"mathspeak":{"default":"inverse circled 10"}},"key":"2793"},{"category":"No","mappings":{"default":{"default":"circled number ten on black square","short":"circled ten on black square"}},"key":"3248"},{"category":"No","mappings":{"default":{"default":"circled number twenty on black square","short":"circled twenty on black square"}},"key":"3249"},{"category":"No","mappings":{"default":{"default":"circled number thirty on black square","short":"circled thirty on black square"}},"key":"324A"},{"category":"No","mappings":{"default":{"default":"circled number forty on black square","short":"circled forty on black square"}},"key":"324B"},{"category":"No","mappings":{"default":{"default":"circled number fifty on black square","short":"circled fifty on black square"}},"key":"324C"},{"category":"No","mappings":{"default":{"default":"circled number sixty on black square","short":"circled sixty on black square"}},"key":"324D"},{"category":"No","mappings":{"default":{"default":"circled number seventy on black square","short":"circled seventy on black square"}},"key":"324E"},{"category":"No","mappings":{"default":{"default":"circled number eighty on black square","short":"circled eighty on black square"}},"key":"324F"},{"category":"No","mappings":{"default":{"default":"circled number twenty one","short":"circled twenty one"}},"key":"3251"},{"category":"No","mappings":{"default":{"default":"circled number twenty two","short":"circled twenty two"}},"key":"3252"},{"category":"No","mappings":{"default":{"default":"circled number twenty three","short":"circled twenty three"}},"key":"3253"},{"category":"No","mappings":{"default":{"default":"circled number twenty four","short":"circled twenty four"}},"key":"3254"},{"category":"No","mappings":{"default":{"default":"circled number twenty five","short":"circled twenty five"}},"key":"3255"},{"category":"No","mappings":{"default":{"default":"circled number twenty six","short":"circled twenty six"}},"key":"3256"},{"category":"No","mappings":{"default":{"default":"circled number twenty seven","short":"circled twenty seven"}},"key":"3257"},{"category":"No","mappings":{"default":{"default":"circled number twenty eight","short":"circled twenty eight"}},"key":"3258"},{"category":"No","mappings":{"default":{"default":"circled number twenty nine","short":"circled twenty nine"}},"key":"3259"},{"category":"No","mappings":{"default":{"default":"circled number thirty","short":"circled thirty"}},"key":"325A"},{"category":"No","mappings":{"default":{"default":"circled number thirty one","short":"circled thirty one"}},"key":"325B"},{"category":"No","mappings":{"default":{"default":"circled number thirty two","short":"circled thirty two"}},"key":"325C"},{"category":"No","mappings":{"default":{"default":"circled number thirty three","short":"circled thirty three"}},"key":"325D"},{"category":"No","mappings":{"default":{"default":"circled number thirty four","short":"circled thirty four"}},"key":"325E"},{"category":"No","mappings":{"default":{"default":"circled number thirty five","short":"circled thirty five"}},"key":"325F"},{"category":"No","mappings":{"default":{"default":"circled number thirty six","short":"circled thirty six"}},"key":"32B1"},{"category":"No","mappings":{"default":{"default":"circled number thirty seven","short":"circled thirty seven"}},"key":"32B2"},{"category":"No","mappings":{"default":{"default":"circled number thirty eight","short":"circled thirty eight"}},"key":"32B3"},{"category":"No","mappings":{"default":{"default":"circled number thirty nine","short":"circled thirty nine"}},"key":"32B4"},{"category":"No","mappings":{"default":{"default":"circled number forty","short":"circled forty"}},"key":"32B5"},{"category":"No","mappings":{"default":{"default":"circled number forty one","short":"circled forty one"}},"key":"32B6"},{"category":"No","mappings":{"default":{"default":"circled number forty two","short":"circled forty two"}},"key":"32B7"},{"category":"No","mappings":{"default":{"default":"circled number forty three","short":"circled forty three"}},"key":"32B8"},{"category":"No","mappings":{"default":{"default":"circled number forty four","short":"circled forty four"}},"key":"32B9"},{"category":"No","mappings":{"default":{"default":"circled number forty five","short":"circled forty five"}},"key":"32BA"},{"category":"No","mappings":{"default":{"default":"circled number forty six","short":"circled forty six"}},"key":"32BB"},{"category":"No","mappings":{"default":{"default":"circled number forty seven","short":"circled forty seven"}},"key":"32BC"},{"category":"No","mappings":{"default":{"default":"circled number forty eight","short":"circled forty eight"}},"key":"32BD"},{"category":"No","mappings":{"default":{"default":"circled number forty nine","short":"circled forty nine"}},"key":"32BE"},{"category":"No","mappings":{"default":{"default":"circled number fifty","short":"circled fifty"}},"key":"32BF"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit zero","short":"zero"},"mathspeak":{"default":"0"}},"key":"FF10"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit one","short":"one"},"mathspeak":{"default":"1"}},"key":"FF11"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit two","short":"two"},"mathspeak":{"default":"2"}},"key":"FF12"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit three","short":"three"},"mathspeak":{"default":"3"}},"key":"FF13"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit four","short":"four"},"mathspeak":{"default":"4"}},"key":"FF14"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit five","short":"five"},"mathspeak":{"default":"5"}},"key":"FF15"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit six","short":"six"},"mathspeak":{"default":"6"}},"key":"FF16"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit seven","short":"seven"},"mathspeak":{"default":"7"}},"key":"FF17"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit eight","short":"eight"},"mathspeak":{"default":"8"}},"key":"FF18"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit nine","short":"nine"},"mathspeak":{"default":"9"}},"key":"FF19"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit zero","alternative":"bold digit zero","short":"bold zero"},"mathspeak":{"default":"bold 0"}},"key":"1D7CE"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit one","alternative":"bold digit one","short":"bold one"},"mathspeak":{"default":"bold 1"}},"key":"1D7CF"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit two","alternative":"bold digit two","short":"bold two"},"mathspeak":{"default":"bold 2"}},"key":"1D7D0"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit three","alternative":"bold digit three","short":"bold three"},"mathspeak":{"default":"bold 3"}},"key":"1D7D1"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit four","alternative":"bold digit four","short":"bold four"},"mathspeak":{"default":"bold 4"}},"key":"1D7D2"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit five","alternative":"bold digit five","short":"bold five"},"mathspeak":{"default":"bold 5"}},"key":"1D7D3"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit six","alternative":"bold digit six","short":"bold six"},"mathspeak":{"default":"bold 6"}},"key":"1D7D4"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit seven","alternative":"bold digit seven","short":"bold seven"},"mathspeak":{"default":"bold 7"}},"key":"1D7D5"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit eight","alternative":"bold digit eight","short":"bold eight"},"mathspeak":{"default":"bold 8"}},"key":"1D7D6"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit nine","alternative":"bold digit nine","short":"bold nine"},"mathspeak":{"default":"bold 9"}},"key":"1D7D7"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit zero","alternative":"double struck zero","short":"blackboard zero"},"mathspeak":{"default":"blackboard 0"}},"key":"1D7D8"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit one","alternative":"double struck one","short":"blackboard one"},"mathspeak":{"default":"blackboard 1"}},"key":"1D7D9"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit two","alternative":"double struck two","short":"blackboard two"},"mathspeak":{"default":"blackboard 2"}},"key":"1D7DA"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit three","alternative":"double struck three","short":"blackboard three"},"mathspeak":{"default":"blackboard 3"}},"key":"1D7DB"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit four","alternative":"double struck four","short":"blackboard four"},"mathspeak":{"default":"blackboard 4"}},"key":"1D7DC"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit five","alternative":"double struck five","short":"blackboard five"},"mathspeak":{"default":"blackboard 5"}},"key":"1D7DD"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit six","alternative":"double struck six","short":"blackboard six"},"mathspeak":{"default":"blackboard 6"}},"key":"1D7DE"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit seven","alternative":"double struck seven","short":"blackboard seven"},"mathspeak":{"default":"blackboard 7"}},"key":"1D7DF"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit eight","alternative":"double struck eight","short":"blackboard eight"},"mathspeak":{"default":"blackboard 8"}},"key":"1D7E0"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit nine","alternative":"double struck nine","short":"blackboard nine"},"mathspeak":{"default":"blackboard 9"}},"key":"1D7E1"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit zero","alternative":"sans serif digit zero","short":"sans serif zero"},"mathspeak":{"default":"sans serif 0"}},"key":"1D7E2"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit one","alternative":"sans serif digit one","short":"sans serif one"},"mathspeak":{"default":"sans serif 1"}},"key":"1D7E3"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit two","alternative":"sans serif digit two","short":"sans serif two"},"mathspeak":{"default":"sans serif 2"}},"key":"1D7E4"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit three","alternative":"sans serif digit three","short":"sans serif three"},"mathspeak":{"default":"sans serif 3"}},"key":"1D7E5"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit four","alternative":"sans serif digit four","short":"sans serif four"},"mathspeak":{"default":"sans serif 4"}},"key":"1D7E6"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit five","alternative":"sans serif digit five","short":"sans serif five"},"mathspeak":{"default":"sans serif 5"}},"key":"1D7E7"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit six","alternative":"sans serif digit six","short":"sans serif six"},"mathspeak":{"default":"sans serif 6"}},"key":"1D7E8"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit seven","alternative":"sans serif digit seven","short":"sans serif seven"},"mathspeak":{"default":"sans serif 7"}},"key":"1D7E9"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit eight","alternative":"sans serif digit eight","short":"sans serif eight"},"mathspeak":{"default":"sans serif 8"}},"key":"1D7EA"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit nine","alternative":"sans serif digit nine","short":"sans serif nine"},"mathspeak":{"default":"sans serif 9"}},"key":"1D7EB"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit zero","alternative":"sans serif bold digit zero","short":"sans serif bold zero"},"mathspeak":{"default":"sans serif bold 0"}},"key":"1D7EC"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit one","alternative":"sans serif bold digit one","short":"sans serif bold one"},"mathspeak":{"default":"sans serif bold 1"}},"key":"1D7ED"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit two","alternative":"sans serif bold digit two","short":"sans serif bold two"},"mathspeak":{"default":"sans serif bold 2"}},"key":"1D7EE"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit three","alternative":"sans serif bold digit three","short":"sans serif bold three"},"mathspeak":{"default":"sans serif bold 3"}},"key":"1D7EF"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit four","alternative":"sans serif bold digit four","short":"sans serif bold four"},"mathspeak":{"default":"sans serif bold 4"}},"key":"1D7F0"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit five","alternative":"sans serif bold digit five","short":"sans serif bold five"},"mathspeak":{"default":"sans serif bold 5"}},"key":"1D7F1"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit six","alternative":"sans serif bold digit six","short":"sans serif bold six"},"mathspeak":{"default":"sans serif bold 6"}},"key":"1D7F2"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit seven","alternative":"sans serif bold digit seven","short":"sans serif bold seven"},"mathspeak":{"default":"sans serif bold 7"}},"key":"1D7F3"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit eight","alternative":"sans serif bold digit eight","short":"sans serif bold eight"},"mathspeak":{"default":"sans serif bold 8"}},"key":"1D7F4"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit nine","alternative":"sans serif bold digit nine","short":"sans serif bold nine"},"mathspeak":{"default":"sans serif bold 9"}},"key":"1D7F5"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit zero","alternative":"monospace zero","short":"thin zero"},"mathspeak":{"default":"monospace 0"}},"key":"1D7F6"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit one","alternative":"monospace one","short":"thin one"},"mathspeak":{"default":"monospace 1"}},"key":"1D7F7"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit two","alternative":"monospace two","short":"thin two"},"mathspeak":{"default":"monospace 2"}},"key":"1D7F8"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit three","alternative":"monospace three","short":"thin three"},"mathspeak":{"default":"monospace 3"}},"key":"1D7F9"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit four","alternative":"monospace four","short":"thin four"},"mathspeak":{"default":"monospace 4"}},"key":"1D7FA"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit five","alternative":"monospace five","short":"thin five"},"mathspeak":{"default":"monospace 5"}},"key":"1D7FB"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit six","alternative":"monospace six","short":"thin six"},"mathspeak":{"default":"monospace 6"}},"key":"1D7FC"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit seven","alternative":"monospace seven","short":"thin seven"},"mathspeak":{"default":"monospace 7"}},"key":"1D7FD"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit eight","alternative":"monospace eight","short":"thin eight"},"mathspeak":{"default":"monospace 8"}},"key":"1D7FE"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit nine","alternative":"monospace nine","short":"thin nine"},"mathspeak":{"default":"monospace 9"}},"key":"1D7FF"},{"category":"No","mappings":{"default":{"default":"digit zero full stop","short":"zero period"},"mathspeak":{"default":"0 period"}},"key":"1F100"},{"category":"No","mappings":{"default":{"default":"digit zero comma","short":"zero comma"},"mathspeak":{"default":"0 comma"}},"key":"1F101"},{"category":"No","mappings":{"default":{"default":"digit one comma","short":"one comma"},"mathspeak":{"default":"1 comma"}},"key":"1F102"},{"category":"No","mappings":{"default":{"default":"digit two comma","short":"two comma"},"mathspeak":{"default":"2 comma"}},"key":"1F103"},{"category":"No","mappings":{"default":{"default":"digit three comma","short":"three comma"},"mathspeak":{"default":"3 comma"}},"key":"1F104"},{"category":"No","mappings":{"default":{"default":"digit four comma","short":"four comma"},"mathspeak":{"default":"4 comma"}},"key":"1F105"},{"category":"No","mappings":{"default":{"default":"digit five comma","short":"five comma"},"mathspeak":{"default":"5 comma"}},"key":"1F106"},{"category":"No","mappings":{"default":{"default":"digit six comma","short":"six comma"},"mathspeak":{"default":"6 comma"}},"key":"1F107"},{"category":"No","mappings":{"default":{"default":"digit seven comma","short":"seven comma"},"mathspeak":{"default":"7 comma"}},"key":"1F108"},{"category":"No","mappings":{"default":{"default":"digit eight comma","short":"eight comma"},"mathspeak":{"default":"8 comma"}},"key":"1F109"},{"category":"No","mappings":{"default":{"default":"digit nine comma","short":"nine comma"},"mathspeak":{"default":"9 comma"}},"key":"1F10A"}]
+"en/symbols/math_harpoons.js": 
+[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"left harpoon with barb up"}},"key":"21BC"},{"category":"So","mappings":{"default":{"default":"left harpoon with barb down"}},"key":"21BD"},{"category":"So","mappings":{"default":{"default":"up harpoon with barb right"}},"key":"21BE"},{"category":"So","mappings":{"default":{"default":"up harpoon with barb left"}},"key":"21BF"},{"category":"So","mappings":{"default":{"default":"right harpoon with barb up"}},"key":"21C0"},{"category":"So","mappings":{"default":{"default":"right harpoon with barb down"}},"key":"21C1"},{"category":"So","mappings":{"default":{"default":"down harpoon with barb right"}},"key":"21C2"},{"category":"So","mappings":{"default":{"default":"down harpoon with barb left"}},"key":"21C3"},{"category":"So","mappings":{"default":{"default":"left harpoon over right harpoon"}},"key":"21CB"},{"category":"So","mappings":{"default":{"default":"right harpoon over left harpoon"}},"key":"21CC"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb down harpoon"}},"key":"294A"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb up harpoon"}},"key":"294B"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb left harpoon"}},"key":"294C"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb right harpoon"}},"key":"294D"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb up harpoon"}},"key":"294E"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb right harpoon"}},"key":"294F"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb down harpoon"}},"key":"2950"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb left harpoon"}},"key":"2951"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up to bar"}},"key":"2952"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up to bar"}},"key":"2953"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb right to bar"}},"key":"2954"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb right to bar"}},"key":"2955"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down to bar"}},"key":"2956"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down to bar"}},"key":"2957"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left to bar"}},"key":"2958"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left to bar"}},"key":"2959"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up from bar"}},"key":"295A"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up from bar"}},"key":"295B"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb right from bar"}},"key":"295C"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb right from bar"}},"key":"295D"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down from bar"}},"key":"295E"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down from bar"}},"key":"295F"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left from bar"}},"key":"2960"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left from bar"}},"key":"2961"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up above left harpoon with barb down"}},"key":"2962"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left beside up harpoon with barb right"}},"key":"2963"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up above right harpoon with barb down"}},"key":"2964"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left beside down harpoon with barb right"}},"key":"2965"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up above right harpoon with barb up"}},"key":"2966"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down above right harpoon with barb down"}},"key":"2967"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up above left harpoon with barb up"}},"key":"2968"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down above left harpoon with barb down"}},"key":"2969"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up above long dash"}},"key":"296A"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down below long dash"}},"key":"296B"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up above long dash"}},"key":"296C"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down below long dash"}},"key":"296D"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left beside down harpoon with barb right"}},"key":"296E"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left beside up harpoon with barb right"}},"key":"296F"},{"category":"Sm","mappings":{"default":{"default":"left fish tail"}},"key":"297C"},{"category":"Sm","mappings":{"default":{"default":"right fish tail"}},"key":"297D"},{"category":"Sm","mappings":{"default":{"default":"up fish tail"}},"key":"297E"},{"category":"Sm","mappings":{"default":{"default":"down fish tail"}},"key":"297F"}]
 ,
-"en/math_geometry.js": 
-[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"box drawings light horizontal","alternative":"forms light horizontal"}},"key":"2500"},{"category":"So","mappings":{"default":{"default":"box drawings heavy horizontal","alternative":"forms heavy horizontal"}},"key":"2501"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical","alternative":"forms light vertical"}},"key":"2502"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical","alternative":"forms heavy vertical"}},"key":"2503"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash horizontal","alternative":"forms light triple dash horizontal"}},"key":"2504"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash horizontal","alternative":"forms heavy triple dash horizontal"}},"key":"2505"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash vertical","alternative":"forms light triple dash vertical"}},"key":"2506"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash vertical","alternative":"forms heavy triple dash vertical"}},"key":"2507"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash horizontal","alternative":"forms light quadruple dash horizontal"}},"key":"2508"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash horizontal","alternative":"forms heavy quadruple dash horizontal"}},"key":"2509"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash vertical","alternative":"forms light quadruple dash vertical"}},"key":"250A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash vertical","alternative":"forms heavy quadruple dash vertical"}},"key":"250B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and right","alternative":"forms light down and right"}},"key":"250C"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right heavy","alternative":"forms down light and right heavy"}},"key":"250D"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right light","alternative":"forms down heavy and right light"}},"key":"250E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and right","alternative":"forms heavy down and right"}},"key":"250F"},{"category":"So","mappings":{"default":{"default":"box drawings light down and left","alternative":"forms light down and left"}},"key":"2510"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left heavy","alternative":"forms down light and left heavy"}},"key":"2511"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left light","alternative":"forms down heavy and left light"}},"key":"2512"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and left","alternative":"forms heavy down and left"}},"key":"2513"},{"category":"So","mappings":{"default":{"default":"box drawings light up and right","alternative":"forms light up and right"}},"key":"2514"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right heavy","alternative":"forms up light and right heavy"}},"key":"2515"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right light","alternative":"forms up heavy and right light"}},"key":"2516"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and right","alternative":"forms heavy up and right"}},"key":"2517"},{"category":"So","mappings":{"default":{"default":"box drawings light up and left","alternative":"forms light up and left"}},"key":"2518"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left heavy","alternative":"forms up light and left heavy"}},"key":"2519"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left light","alternative":"forms up heavy and left light"}},"key":"251A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and left","alternative":"forms heavy up and left"}},"key":"251B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and right","alternative":"forms light vertical and right"}},"key":"251C"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and right heavy","alternative":"forms vertical light and right heavy"}},"key":"251D"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right down light","alternative":"forms up heavy and right down light"}},"key":"251E"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right up light","alternative":"forms down heavy and right up light"}},"key":"251F"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and right light","alternative":"forms vertical heavy and right light"}},"key":"2520"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right up heavy","alternative":"forms down light and right up heavy"}},"key":"2521"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right down heavy","alternative":"forms up light and right down heavy"}},"key":"2522"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and right","alternative":"forms heavy vertical and right"}},"key":"2523"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and left","alternative":"forms light vertical and left"}},"key":"2524"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and left heavy","alternative":"forms vertical light and left heavy"}},"key":"2525"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left down light","alternative":"forms up heavy and left down light"}},"key":"2526"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left up light","alternative":"forms down heavy and left up light"}},"key":"2527"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and left light","alternative":"forms vertical heavy and left light"}},"key":"2528"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left up heavy","alternative":"forms down light and left up heavy"}},"key":"2529"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left down heavy","alternative":"forms up light and left down heavy"}},"key":"252A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and left","alternative":"forms heavy vertical and left"}},"key":"252B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and horizontal","alternative":"forms light down and horizontal"}},"key":"252C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right down light","alternative":"forms left heavy and right down light"}},"key":"252D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left down light","alternative":"forms right heavy and left down light"}},"key":"252E"},{"category":"So","mappings":{"default":{"default":"box drawings down light and horizontal heavy","alternative":"forms down light and horizontal heavy"}},"key":"252F"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and horizontal light","alternative":"forms down heavy and horizontal light"}},"key":"2530"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left down heavy","alternative":"forms right light and left down heavy"}},"key":"2531"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right down heavy","alternative":"forms left light and right down heavy"}},"key":"2532"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and horizontal","alternative":"forms heavy down and horizontal"}},"key":"2533"},{"category":"So","mappings":{"default":{"default":"box drawings light up and horizontal","alternative":"forms light up and horizontal"}},"key":"2534"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right up light","alternative":"forms left heavy and right up light"}},"key":"2535"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left up light","alternative":"forms right heavy and left up light"}},"key":"2536"},{"category":"So","mappings":{"default":{"default":"box drawings up light and horizontal heavy","alternative":"forms up light and horizontal heavy"}},"key":"2537"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and horizontal light","alternative":"forms up heavy and horizontal light"}},"key":"2538"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left up heavy","alternative":"forms right light and left up heavy"}},"key":"2539"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right up heavy","alternative":"forms left light and right up heavy"}},"key":"253A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and horizontal","alternative":"forms heavy up and horizontal"}},"key":"253B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and horizontal","alternative":"forms light vertical and horizontal"}},"key":"253C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right vertical light","alternative":"forms left heavy and right vertical light"}},"key":"253D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left vertical light","alternative":"forms right heavy and left vertical light"}},"key":"253E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and horizontal heavy","alternative":"forms vertical light and horizontal heavy"}},"key":"253F"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and down horizontal light","alternative":"forms up heavy and down horizontal light"}},"key":"2540"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and up horizontal light","alternative":"forms down heavy and up horizontal light"}},"key":"2541"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and horizontal light","alternative":"forms vertical heavy and horizontal light"}},"key":"2542"},{"category":"So","mappings":{"default":{"default":"box drawings left up heavy and right down light","alternative":"forms left up heavy and right down light"}},"key":"2543"},{"category":"So","mappings":{"default":{"default":"box drawings right up heavy and left down light","alternative":"forms right up heavy and left down light"}},"key":"2544"},{"category":"So","mappings":{"default":{"default":"box drawings left down heavy and right up light","alternative":"forms left down heavy and right up light"}},"key":"2545"},{"category":"So","mappings":{"default":{"default":"box drawings right down heavy and left up light","alternative":"forms right down heavy and left up light"}},"key":"2546"},{"category":"So","mappings":{"default":{"default":"box drawings down light and up horizontal heavy","alternative":"forms down light and up horizontal heavy"}},"key":"2547"},{"category":"So","mappings":{"default":{"default":"box drawings up light and down horizontal heavy","alternative":"forms up light and down horizontal heavy"}},"key":"2548"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left vertical heavy","alternative":"forms right light and left vertical heavy"}},"key":"2549"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right vertical heavy","alternative":"forms left light and right vertical heavy"}},"key":"254A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and horizontal","alternative":"forms heavy vertical and horizontal"}},"key":"254B"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash horizontal","alternative":"forms light double dash horizontal"}},"key":"254C"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash horizontal","alternative":"forms heavy double dash horizontal"}},"key":"254D"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash vertical","alternative":"forms light double dash vertical"}},"key":"254E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash vertical","alternative":"forms heavy double dash vertical"}},"key":"254F"},{"category":"So","mappings":{"default":{"default":"box drawings double horizontal","alternative":"forms double horizontal"}},"key":"2550"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical","alternative":"forms double vertical"}},"key":"2551"},{"category":"So","mappings":{"default":{"default":"box drawings down single and right double","alternative":"forms down single and right double"}},"key":"2552"},{"category":"So","mappings":{"default":{"default":"box drawings down double and right single","alternative":"forms down double and right single"}},"key":"2553"},{"category":"So","mappings":{"default":{"default":"box drawings double down and right","alternative":"forms double down and right"}},"key":"2554"},{"category":"So","mappings":{"default":{"default":"box drawings down single and left double","alternative":"forms down single and left double"}},"key":"2555"},{"category":"So","mappings":{"default":{"default":"box drawings down double and left single","alternative":"forms down double and left single"}},"key":"2556"},{"category":"So","mappings":{"default":{"default":"box drawings double down and left","alternative":"forms double down and left"}},"key":"2557"},{"category":"So","mappings":{"default":{"default":"box drawings up single and right double","alternative":"forms up single and right double"}},"key":"2558"},{"category":"So","mappings":{"default":{"default":"box drawings up double and right single","alternative":"forms up double and right single"}},"key":"2559"},{"category":"So","mappings":{"default":{"default":"box drawings double up and right","alternative":"forms double up and right"}},"key":"255A"},{"category":"So","mappings":{"default":{"default":"box drawings up single and left double","alternative":"forms up single and left double"}},"key":"255B"},{"category":"So","mappings":{"default":{"default":"box drawings up double and left single","alternative":"forms up double and left single"}},"key":"255C"},{"category":"So","mappings":{"default":{"default":"box drawings double up and left","alternative":"forms double up and left"}},"key":"255D"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and right double","alternative":"forms vertical single and right double"}},"key":"255E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and right single","alternative":"forms vertical double and right single"}},"key":"255F"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and right","alternative":"forms double vertical and right"}},"key":"2560"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and left double","alternative":"forms vertical single and left double"}},"key":"2561"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and left single","alternative":"forms vertical double and left single"}},"key":"2562"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and left","alternative":"forms double vertical and left"}},"key":"2563"},{"category":"So","mappings":{"default":{"default":"box drawings down single and horizontal double","alternative":"forms down single and horizontal double"}},"key":"2564"},{"category":"So","mappings":{"default":{"default":"box drawings down double and horizontal single","alternative":"forms down double and horizontal single"}},"key":"2565"},{"category":"So","mappings":{"default":{"default":"box drawings double down and horizontal","alternative":"forms double down and horizontal"}},"key":"2566"},{"category":"So","mappings":{"default":{"default":"box drawings up single and horizontal double","alternative":"forms up single and horizontal double"}},"key":"2567"},{"category":"So","mappings":{"default":{"default":"box drawings up double and horizontal single","alternative":"forms up double and horizontal single"}},"key":"2568"},{"category":"So","mappings":{"default":{"default":"box drawings double up and horizontal","alternative":"forms double up and horizontal"}},"key":"2569"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and horizontal double","alternative":"forms vertical single and horizontal double"}},"key":"256A"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and horizontal single","alternative":"forms vertical double and horizontal single"}},"key":"256B"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and horizontal","alternative":"forms double vertical and horizontal"}},"key":"256C"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and right","alternative":"forms light arc down and right"}},"key":"256D"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and left","alternative":"forms light arc down and left"}},"key":"256E"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and left","alternative":"forms light arc up and left"}},"key":"256F"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and right","alternative":"forms light arc up and right"}},"key":"2570"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper right to lower left","alternative":"forms light diagonal upper right to lower left"}},"key":"2571"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper left to lower right","alternative":"forms light diagonal upper left to lower right"}},"key":"2572"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal cross","alternative":"forms light diagonal cross"}},"key":"2573"},{"category":"So","mappings":{"default":{"default":"box drawings light left","alternative":"forms light left"}},"key":"2574"},{"category":"So","mappings":{"default":{"default":"box drawings light up","alternative":"forms light up"}},"key":"2575"},{"category":"So","mappings":{"default":{"default":"box drawings light right","alternative":"forms light right"}},"key":"2576"},{"category":"So","mappings":{"default":{"default":"box drawings light down","alternative":"forms light down"}},"key":"2577"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left","alternative":"forms heavy left"}},"key":"2578"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up","alternative":"forms heavy up"}},"key":"2579"},{"category":"So","mappings":{"default":{"default":"box drawings heavy right","alternative":"forms heavy right"}},"key":"257A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down","alternative":"forms heavy down"}},"key":"257B"},{"category":"So","mappings":{"default":{"default":"box drawings light left and heavy right","alternative":"forms light left and heavy right"}},"key":"257C"},{"category":"So","mappings":{"default":{"default":"box drawings light up and heavy down","alternative":"forms light up and heavy down"}},"key":"257D"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left and light right","alternative":"forms heavy left and light right"}},"key":"257E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and light down","alternative":"forms heavy up and light down"}},"key":"257F"},{"category":"So","mappings":{"default":{"default":"upper half block"}},"key":"2580"},{"category":"So","mappings":{"default":{"default":"lower one eighth block"}},"key":"2581"},{"category":"So","mappings":{"default":{"default":"lower one quarter block"}},"key":"2582"},{"category":"So","mappings":{"default":{"default":"lower three eighths block"}},"key":"2583"},{"category":"So","mappings":{"default":{"default":"lower half block"}},"key":"2584"},{"category":"So","mappings":{"default":{"default":"lower five eighths block"}},"key":"2585"},{"category":"So","mappings":{"default":{"default":"lower three quarters block","alternative":"lower three quarter block"}},"key":"2586"},{"category":"So","mappings":{"default":{"default":"lower seven eighths block"}},"key":"2587"},{"category":"So","mappings":{"default":{"default":"full block"}},"key":"2588"},{"category":"So","mappings":{"default":{"default":"left seven eighths block"}},"key":"2589"},{"category":"So","mappings":{"default":{"default":"left three quarters block","alternative":"left three quarter block"}},"key":"258A"},{"category":"So","mappings":{"default":{"default":"left five eighths block"}},"key":"258B"},{"category":"So","mappings":{"default":{"default":"left half block"}},"key":"258C"},{"category":"So","mappings":{"default":{"default":"left three eighths block"}},"key":"258D"},{"category":"So","mappings":{"default":{"default":"left one quarter block"}},"key":"258E"},{"category":"So","mappings":{"default":{"default":"left one eighth block"}},"key":"258F"},{"category":"So","mappings":{"default":{"default":"right half block"}},"key":"2590"},{"category":"So","mappings":{"default":{"default":"light shade"}},"key":"2591"},{"category":"So","mappings":{"default":{"default":"medium shade"}},"key":"2592"},{"category":"So","mappings":{"default":{"default":"dark shade"}},"key":"2593"},{"category":"So","mappings":{"default":{"default":"upper one eighth block"}},"key":"2594"},{"category":"So","mappings":{"default":{"default":"right one eighth block"}},"key":"2595"},{"category":"So","mappings":{"default":{"default":"quadrant lower left"}},"key":"2596"},{"category":"So","mappings":{"default":{"default":"quadrant lower right"}},"key":"2597"},{"category":"So","mappings":{"default":{"default":"quadrant upper left"}},"key":"2598"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower left and lower right"}},"key":"2599"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower right"}},"key":"259A"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower left"}},"key":"259B"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower right"}},"key":"259C"},{"category":"So","mappings":{"default":{"default":"quadrant upper right"}},"key":"259D"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left"}},"key":"259E"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left and lower right"}},"key":"259F"},{"category":"So","mappings":{"default":{"default":"black square"}},"key":"25A0"},{"category":"So","mappings":{"default":{"default":"white square"}},"key":"25A1"},{"category":"So","mappings":{"default":{"default":"white square with rounded corners"}},"key":"25A2"},{"category":"So","mappings":{"default":{"default":"white square containing black small square"}},"key":"25A3"},{"category":"So","mappings":{"default":{"default":"square with horizontal fill"}},"key":"25A4"},{"category":"So","mappings":{"default":{"default":"square with vertical fill"}},"key":"25A5"},{"category":"So","mappings":{"default":{"default":"square with orthogonal crosshatch fill"}},"key":"25A6"},{"category":"So","mappings":{"default":{"default":"square with upper left to lower right fill"}},"key":"25A7"},{"category":"So","mappings":{"default":{"default":"square with upper right to lower left fill"}},"key":"25A8"},{"category":"So","mappings":{"default":{"default":"square with diagonal crosshatch fill"}},"key":"25A9"},{"category":"So","mappings":{"default":{"default":"black small square"}},"key":"25AA"},{"category":"So","mappings":{"default":{"default":"white small square"}},"key":"25AB"},{"category":"So","mappings":{"default":{"default":"black rectangle"}},"key":"25AC"},{"category":"So","mappings":{"default":{"default":"white rectangle"}},"key":"25AD"},{"category":"So","mappings":{"default":{"default":"black vertical rectangle"}},"key":"25AE"},{"category":"So","mappings":{"default":{"default":"white vertical rectangle"}},"key":"25AF"},{"category":"So","mappings":{"default":{"default":"black parallelogram"}},"key":"25B0"},{"category":"So","mappings":{"default":{"default":"white parallelogram"}},"key":"25B1"},{"category":"So","mappings":{"default":{"default":"black up pointing triangle","alternative":"black up pointing triangle"}},"key":"25B2"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle","alternative":"white up pointing triangle"}},"key":"25B3"},{"category":"So","mappings":{"default":{"default":"black up pointing small triangle","alternative":"black up pointing small triangle"}},"key":"25B4"},{"category":"So","mappings":{"default":{"default":"white up pointing small triangle","alternative":"white up pointing small triangle"}},"key":"25B5"},{"category":"So","mappings":{"default":{"default":"black right pointing triangle","alternative":"black right pointing triangle"}},"key":"25B6"},{"category":"Sm","mappings":{"default":{"default":"white right pointing triangle","alternative":"white right pointing triangle"}},"key":"25B7"},{"category":"So","mappings":{"default":{"default":"black right pointing small triangle","alternative":"black right pointing small triangle"}},"key":"25B8"},{"category":"So","mappings":{"default":{"default":"white right pointing small triangle","alternative":"white right pointing small triangle"}},"key":"25B9"},{"category":"So","mappings":{"default":{"default":"black right pointing pointer","alternative":"black right pointing pointer"}},"key":"25BA"},{"category":"So","mappings":{"default":{"default":"white right pointing pointer","alternative":"white right pointing pointer"}},"key":"25BB"},{"category":"So","mappings":{"default":{"default":"black down pointing triangle","alternative":"black down pointing triangle"}},"key":"25BC"},{"category":"So","mappings":{"default":{"default":"white down pointing triangle","alternative":"white down pointing triangle"}},"key":"25BD"},{"category":"So","mappings":{"default":{"default":"black down pointing small triangle","alternative":"black down pointing small triangle"}},"key":"25BE"},{"category":"So","mappings":{"default":{"default":"white down pointing small triangle","alternative":"white down pointing small triangle"}},"key":"25BF"},{"category":"So","mappings":{"default":{"default":"black left pointing triangle","alternative":"black left pointing triangle"}},"key":"25C0"},{"category":"Sm","mappings":{"default":{"default":"white left pointing triangle","alternative":"white left pointing triangle"}},"key":"25C1"},{"category":"So","mappings":{"default":{"default":"black left pointing small triangle","alternative":"black left pointing small triangle"}},"key":"25C2"},{"category":"So","mappings":{"default":{"default":"white left pointing small triangle","alternative":"white left pointing small triangle"}},"key":"25C3"},{"category":"So","mappings":{"default":{"default":"black left pointing pointer","alternative":"black left pointing pointer"}},"key":"25C4"},{"category":"So","mappings":{"default":{"default":"white left pointing pointer","alternative":"white left pointing pointer"}},"key":"25C5"},{"category":"So","mappings":{"default":{"default":"black diamond"}},"key":"25C6"},{"category":"So","mappings":{"default":{"default":"white diamond"}},"key":"25C7"},{"category":"So","mappings":{"default":{"default":"white diamond containing black small diamond"}},"key":"25C8"},{"category":"So","mappings":{"default":{"default":"fisheye"}},"key":"25C9"},{"category":"So","mappings":{"default":{"default":"lozenge"}},"key":"25CA"},{"category":"So","mappings":{"default":{"default":"white circle"}},"key":"25CB"},{"category":"So","mappings":{"default":{"default":"dotted circle"}},"key":"25CC"},{"category":"So","mappings":{"default":{"default":"circle with vertical fill"}},"key":"25CD"},{"category":"So","mappings":{"default":{"default":"bullseye"}},"key":"25CE"},{"category":"So","mappings":{"default":{"default":"black circle"}},"key":"25CF"},{"category":"So","mappings":{"default":{"default":"circle with left half black"}},"key":"25D0"},{"category":"So","mappings":{"default":{"default":"circle with right half black"}},"key":"25D1"},{"category":"So","mappings":{"default":{"default":"circle with lower half black"}},"key":"25D2"},{"category":"So","mappings":{"default":{"default":"circle with upper half black"}},"key":"25D3"},{"category":"So","mappings":{"default":{"default":"circle with upper right quadrant black"}},"key":"25D4"},{"category":"So","mappings":{"default":{"default":"circle with all but upper left quadrant black"}},"key":"25D5"},{"category":"So","mappings":{"default":{"default":"left half black circle"}},"key":"25D6"},{"category":"So","mappings":{"default":{"default":"right half black circle"}},"key":"25D7"},{"category":"So","mappings":{"default":{"default":"inverse bullet"}},"key":"25D8"},{"category":"So","mappings":{"default":{"default":"inverse white circle"}},"key":"25D9"},{"category":"So","mappings":{"default":{"default":"upper half inverse white circle"}},"key":"25DA"},{"category":"So","mappings":{"default":{"default":"lower half inverse white circle"}},"key":"25DB"},{"category":"So","mappings":{"default":{"default":"upper left quadrant circular arc"}},"key":"25DC"},{"category":"So","mappings":{"default":{"default":"upper right quadrant circular arc"}},"key":"25DD"},{"category":"So","mappings":{"default":{"default":"lower right quadrant circular arc"}},"key":"25DE"},{"category":"So","mappings":{"default":{"default":"lower left quadrant circular arc"}},"key":"25DF"},{"category":"So","mappings":{"default":{"default":"upper half circle"}},"key":"25E0"},{"category":"So","mappings":{"default":{"default":"lower half circle"}},"key":"25E1"},{"category":"So","mappings":{"default":{"default":"black lower right triangle"}},"key":"25E2"},{"category":"So","mappings":{"default":{"default":"black lower left triangle"}},"key":"25E3"},{"category":"So","mappings":{"default":{"default":"black upper left triangle"}},"key":"25E4"},{"category":"So","mappings":{"default":{"default":"black upper right triangle"}},"key":"25E5"},{"category":"So","mappings":{"default":{"default":"white bullet"}},"key":"25E6"},{"category":"So","mappings":{"default":{"default":"square with left half black"}},"key":"25E7"},{"category":"So","mappings":{"default":{"default":"square with right half black"}},"key":"25E8"},{"category":"So","mappings":{"default":{"default":"square with upper left diagonal half black"}},"key":"25E9"},{"category":"So","mappings":{"default":{"default":"square with lower right diagonal half black"}},"key":"25EA"},{"category":"So","mappings":{"default":{"default":"white square with vertical bisecting line"}},"key":"25EB"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle with dot","alternative":"white up pointing triangle with dot"}},"key":"25EC"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with left half black","alternative":"up pointing triangle with left half black"}},"key":"25ED"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with right half black","alternative":"up pointing triangle with right half black"}},"key":"25EE"},{"category":"So","mappings":{"default":{"default":"large circle"}},"key":"25EF"},{"category":"So","mappings":{"default":{"default":"white square with upper left quadrant"}},"key":"25F0"},{"category":"So","mappings":{"default":{"default":"white square with lower left quadrant"}},"key":"25F1"},{"category":"So","mappings":{"default":{"default":"white square with lower right quadrant"}},"key":"25F2"},{"category":"So","mappings":{"default":{"default":"white square with upper right quadrant"}},"key":"25F3"},{"category":"So","mappings":{"default":{"default":"white circle with upper left quadrant"}},"key":"25F4"},{"category":"So","mappings":{"default":{"default":"white circle with lower left quadrant"}},"key":"25F5"},{"category":"So","mappings":{"default":{"default":"white circle with lower right quadrant"}},"key":"25F6"},{"category":"So","mappings":{"default":{"default":"white circle with upper right quadrant"}},"key":"25F7"},{"category":"Sm","mappings":{"default":{"default":"upper left triangle"}},"key":"25F8"},{"category":"Sm","mappings":{"default":{"default":"upper right triangle"}},"key":"25F9"},{"category":"Sm","mappings":{"default":{"default":"lower left triangle"}},"key":"25FA"},{"category":"Sm","mappings":{"default":{"default":"white medium square"}},"key":"25FB"},{"category":"Sm","mappings":{"default":{"default":"black medium square"}},"key":"25FC"},{"category":"Sm","mappings":{"default":{"default":"white medium small square"}},"key":"25FD"},{"category":"Sm","mappings":{"default":{"default":"black medium small square"}},"key":"25FE"},{"category":"Sm","mappings":{"default":{"default":"lower right triangle"}},"key":"25FF"},{"category":"So","mappings":{"default":{"default":"square with top half black"}},"key":"2B12"},{"category":"So","mappings":{"default":{"default":"square with bottom half black"}},"key":"2B13"},{"category":"So","mappings":{"default":{"default":"square with upper right diagonal half black"}},"key":"2B14"},{"category":"So","mappings":{"default":{"default":"square with lower left diagonal half black"}},"key":"2B15"},{"category":"So","mappings":{"default":{"default":"diamond with left half black"}},"key":"2B16"},{"category":"So","mappings":{"default":{"default":"diamond with right half black"}},"key":"2B17"},{"category":"So","mappings":{"default":{"default":"diamond with top half black"}},"key":"2B18"},{"category":"So","mappings":{"default":{"default":"diamond with bottom half black"}},"key":"2B19"},{"category":"So","mappings":{"default":{"default":"dotted square"}},"key":"2B1A"},{"category":"So","mappings":{"default":{"default":"black large square"}},"key":"2B1B"},{"category":"So","mappings":{"default":{"default":"white large square"}},"key":"2B1C"},{"category":"So","mappings":{"default":{"default":"black very small square"}},"key":"2B1D"},{"category":"So","mappings":{"default":{"default":"white very small square"}},"key":"2B1E"},{"category":"So","mappings":{"default":{"default":"black pentagon"}},"key":"2B1F"},{"category":"So","mappings":{"default":{"default":"white pentagon"}},"key":"2B20"},{"category":"So","mappings":{"default":{"default":"white hexagon"}},"key":"2B21"},{"category":"So","mappings":{"default":{"default":"black hexagon"}},"key":"2B22"},{"category":"So","mappings":{"default":{"default":"horizontal black hexagon"}},"key":"2B23"},{"category":"So","mappings":{"default":{"default":"black large circle"}},"key":"2B24"},{"category":"So","mappings":{"default":{"default":"black medium diamond"}},"key":"2B25"},{"category":"So","mappings":{"default":{"default":"white medium diamond"}},"key":"2B26"},{"category":"So","mappings":{"default":{"default":"black medium lozenge"}},"key":"2B27"},{"category":"So","mappings":{"default":{"default":"white medium lozenge"}},"key":"2B28"},{"category":"So","mappings":{"default":{"default":"black small diamond"}},"key":"2B29"},{"category":"So","mappings":{"default":{"default":"black small lozenge"}},"key":"2B2A"},{"category":"So","mappings":{"default":{"default":"white small lozenge"}},"key":"2B2B"},{"category":"So","mappings":{"default":{"default":"black horizontal ellipse"}},"key":"2B2C"},{"category":"So","mappings":{"default":{"default":"white horizontal ellipse"}},"key":"2B2D"},{"category":"So","mappings":{"default":{"default":"black vertical ellipse"}},"key":"2B2E"},{"category":"So","mappings":{"default":{"default":"white vertical ellipse"}},"key":"2B2F"},{"category":"So","mappings":{"default":{"default":"white medium star"}},"key":"2B50"},{"category":"So","mappings":{"default":{"default":"black small star"}},"key":"2B51"},{"category":"So","mappings":{"default":{"default":"white small star"}},"key":"2B52"},{"category":"So","mappings":{"default":{"default":"black right pointing pentagon"}},"key":"2B53"},{"category":"So","mappings":{"default":{"default":"white right pointing pentagon"}},"key":"2B54"},{"category":"So","mappings":{"default":{"default":"heavy large circle"}},"key":"2B55"},{"category":"So","mappings":{"default":{"default":"heavy oval with oval inside"}},"key":"2B56"},{"category":"So","mappings":{"default":{"default":"heavy circle with circle inside"}},"key":"2B57"},{"category":"So","mappings":{"default":{"default":"heavy circle"}},"key":"2B58"},{"category":"So","mappings":{"default":{"default":"heavy circled saltire"}},"key":"2B59"}]
+"en/symbols/math_non_characters.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"italic h over two pi","physics":"planck constant over two pi"}},"key":"210F"},{"category":"So","mappings":{"default":{"default":"l b bar"}},"key":"2114"},{"category":"So","mappings":{"default":{"default":"numero"}},"key":"2116"},{"category":"So","mappings":{"default":{"default":"sound recording copyright"}},"key":"2117"},{"category":"So","mappings":{"default":{"default":"prescription take"}},"key":"211E"},{"category":"So","mappings":{"default":{"default":"response"}},"key":"211F"},{"category":"So","mappings":{"default":{"default":"service mark"}},"key":"2120"},{"category":"So","mappings":{"default":{"default":"telephone sign","alternative":"t e l symbol"}},"key":"2121"},{"category":"So","mappings":{"default":{"default":"trade mark"}},"key":"2122"},{"category":"So","mappings":{"default":{"default":"versicle"}},"key":"2123"},{"category":"So","mappings":{"default":{"default":"ounce"}},"key":"2125"},{"category":"Lu","mappings":{"default":{"default":"ohm"}},"key":"2126"},{"category":"So","mappings":{"default":{"default":"inverted ohm"}},"key":"2127"},{"category":"Lu","mappings":{"default":{"default":"kelvin"}},"key":"212A"},{"category":"Lu","mappings":{"default":{"default":"angstrom"}},"key":"212B"},{"category":"So","mappings":{"default":{"default":"estimated"}},"key":"212E"},{"category":"Lu","mappings":{"default":{"default":"turned cap F"},"mathspeak":{"default":"turned upper F"}},"key":"2132"},{"category":"Ll","mappings":{"default":{"default":"information source"}},"key":"2139"},{"category":"So","mappings":{"default":{"default":"rotated cap Q"},"mathspeak":{"default":"rotated upper Q"}},"key":"213A"},{"category":"So","mappings":{"default":{"default":"facsimile sign"}},"key":"213B"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif cap G"},"mathspeak":{"default":"turned sans serif upper G"}},"key":"2141"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif cap L"},"mathspeak":{"default":"turned sans serif upper L"}},"key":"2142"},{"category":"Sm","mappings":{"default":{"default":"reversed sans serif cap L"},"mathspeak":{"default":"reversed sans serif upper L"}},"key":"2143"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif cap Y"},"mathspeak":{"default":"turned sans serif upper Y"}},"key":"2144"}]
 ,
-"en/math_harpoons.js": 
-[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"leftwards harpoon with barb upwards","short":"left harpoon with barb up"}},"key":"21BC"},{"category":"So","mappings":{"default":{"default":"leftwards harpoon with barb downwards","short":"left harpoon with barb down"}},"key":"21BD"},{"category":"So","mappings":{"default":{"default":"upwards harpoon with barb rightwards","short":"up harpoon with barb right"}},"key":"21BE"},{"category":"So","mappings":{"default":{"default":"upwards harpoon with barb leftwards","short":"up harpoon with barb left"}},"key":"21BF"},{"category":"So","mappings":{"default":{"default":"rightwards harpoon with barb upwards","short":"right harpoon with barb up"}},"key":"21C0"},{"category":"So","mappings":{"default":{"default":"rightwards harpoon with barb downwards","short":"right harpoon with barb down"}},"key":"21C1"},{"category":"So","mappings":{"default":{"default":"downwards harpoon with barb rightwards","short":"down harpoon with barb right"}},"key":"21C2"},{"category":"So","mappings":{"default":{"default":"downwards harpoon with barb leftwards","short":"down harpoon with barb left"}},"key":"21C3"},{"category":"So","mappings":{"default":{"default":"leftwards harpoon over rightwards harpoon","short":"left harpoon over right harpoon"}},"key":"21CB"},{"category":"So","mappings":{"default":{"default":"rightwards harpoon over leftwards harpoon","short":"right harpoon over left harpoon"}},"key":"21CC"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb down harpoon"}},"key":"294A"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb up harpoon"}},"key":"294B"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb left harpoon"}},"key":"294C"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb right harpoon"}},"key":"294D"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb up harpoon"}},"key":"294E"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb right harpoon"}},"key":"294F"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb down harpoon"}},"key":"2950"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb left harpoon"}},"key":"2951"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up to bar","short":"left harpoon with barb up to bar"}},"key":"2952"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up to bar","short":"right harpoon with barb up to bar"}},"key":"2953"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb right to bar","short":"up harpoon with barb right to bar"}},"key":"2954"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb right to bar","short":"down harpoon with barb right to bar"}},"key":"2955"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down to bar","short":"left harpoon with barb down to bar"}},"key":"2956"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down to bar","short":"right harpoon with barb down to bar"}},"key":"2957"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left to bar","short":"up harpoon with barb left to bar"}},"key":"2958"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left to bar","short":"down harpoon with barb left to bar"}},"key":"2959"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up from bar","short":"left harpoon with barb up from bar"}},"key":"295A"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up from bar","short":"right harpoon with barb up from bar"}},"key":"295B"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb right from bar","short":"up harpoon with barb right from bar"}},"key":"295C"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb right from bar","short":"down harpoon with barb right from bar"}},"key":"295D"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down from bar","short":"left harpoon with barb down from bar"}},"key":"295E"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down from bar","short":"right harpoon with barb down from bar"}},"key":"295F"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left from bar","short":"up harpoon with barb left from bar"}},"key":"2960"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left from bar","short":"down harpoon with barb left from bar"}},"key":"2961"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up above leftwards harpoon with barb down","short":"left harpoon with barb up above left harpoon with barb down"}},"key":"2962"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left beside upwards harpoon with barb right","short":"up harpoon with barb left beside up harpoon with barb right"}},"key":"2963"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up above rightwards harpoon with barb down","short":"right harpoon with barb up above right harpoon with barb down"}},"key":"2964"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left beside downwards harpoon with barb right","short":"down harpoon with barb left beside down harpoon with barb right"}},"key":"2965"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up above rightwards harpoon with barb up","short":"left harpoon with barb up above right harpoon with barb up"}},"key":"2966"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down above rightwards harpoon with barb down","short":"left harpoon with barb down above right harpoon with barb down"}},"key":"2967"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up above leftwards harpoon with barb up","short":"right harpoon with barb up above left harpoon with barb up"}},"key":"2968"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down above leftwards harpoon with barb down","short":"right harpoon with barb down above left harpoon with barb down"}},"key":"2969"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up above long dash","short":"left harpoon with barb up above long dash"}},"key":"296A"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down below long dash","short":"left harpoon with barb down below long dash"}},"key":"296B"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up above long dash","short":"right harpoon with barb up above long dash"}},"key":"296C"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down below long dash","short":"right harpoon with barb down below long dash"}},"key":"296D"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left beside downwards harpoon with barb right","short":"up harpoon with barb left beside down harpoon with barb right"}},"key":"296E"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left beside upwards harpoon with barb right","short":"down harpoon with barb left beside up harpoon with barb right"}},"key":"296F"},{"category":"Sm","mappings":{"default":{"default":"left fish tail"}},"key":"297C"},{"category":"Sm","mappings":{"default":{"default":"right fish tail"}},"key":"297D"},{"category":"Sm","mappings":{"default":{"default":"up fish tail"}},"key":"297E"},{"category":"Sm","mappings":{"default":{"default":"down fish tail"}},"key":"297F"}]
+"en/symbols/math_symbols.js": 
+[{"locale":"en"},{"category":"Po","mappings":{"default":{"default":"exclamation mark"}},"key":"0021"},{"category":"Po","mappings":{"default":{"default":"quotation mark"}},"key":"0022"},{"category":"Po","mappings":{"default":{"default":"number sign","alternative":"hash"},"mathspeak":{"brief":"num sign","sbrief":"num sign"}},"key":"0023"},{"category":"Sc","mappings":{"default":{"default":"dollar sign"}},"key":"0024"},{"category":"Po","mappings":{"default":{"default":"percent sign"}},"key":"0025"},{"category":"Po","mappings":{"default":{"default":"ampersand"}},"key":"0026"},{"category":"Po","mappings":{"default":{"default":"prime"}},"key":"0027"},{"category":"Po","mappings":{"default":{"default":"asterisk"}},"key":"002A"},{"category":"Sm","mappings":{"default":{"default":"plus"}},"key":"002B"},{"category":"Po","mappings":{"default":{"default":"comma"}},"key":"002C"},{"category":"Pd","mappings":{"default":{"default":"minus"},"mathspeak":{"default":"hyphen"}},"key":"002D"},{"category":"Po","mappings":{"default":{"default":"period"}},"key":"002E"},{"category":"Po","mappings":{"default":{"default":"slash","alternative":"solidus"},"emacspeak":{"default":"slash"}},"key":"002F"},{"category":"Po","mappings":{"default":{"default":"colon"}},"key":"003A"},{"category":"Po","mappings":{"default":{"default":"semicolon"}},"key":"003B"},{"category":"Sm","mappings":{"default":{"default":"less than"},"clearspeak":{"default":"is less than"}},"key":"003C"},{"category":"Sm","mappings":{"default":{"default":"equals"}},"key":"003D"},{"category":"Sm","mappings":{"default":{"default":"greater than"},"clearspeak":{"default":"is greater than"}},"key":"003E"},{"category":"Po","mappings":{"default":{"default":"question mark"}},"key":"003F"},{"category":"Po","mappings":{"default":{"default":"at"}},"key":"0040"},{"category":"Po","mappings":{"default":{"default":"backslash"}},"key":"005C"},{"category":"Sk","mappings":{"default":{"default":"hat"},"mathspeak":{"default":"caret"}},"key":"005E"},{"category":"Pc","mappings":{"default":{"default":"bar","alternative":"underline"}},"key":"005F"},{"category":"Sk","mappings":{"default":{"default":"grave"},"mathspeak":{"default":"grave"}},"key":"0060"},{"category":"Sm","mappings":{"default":{"default":"vertical bar"},"clearspeak":{"default":"divides"}},"key":"007C"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"007E"},{"category":"Po","mappings":{"default":{"default":"inverted exclamation mark"}},"key":"00A1"},{"category":"Sc","mappings":{"default":{"default":"cent sign"}},"key":"00A2"},{"category":"Sc","mappings":{"default":{"default":"pound sign"}},"key":"00A3"},{"category":"Sc","mappings":{"default":{"default":"currency sign"}},"key":"00A4"},{"category":"Sc","mappings":{"default":{"default":"yen sign"}},"key":"00A5"},{"category":"So","mappings":{"default":{"default":"broken vertical bar"}},"key":"00A6"},{"category":"Po","mappings":{"default":{"default":"section sign"}},"key":"00A7"},{"category":"Sk","mappings":{"default":{"default":"two dots"}},"key":"00A8"},{"category":"So","mappings":{"default":{"default":"copyright sign"}},"key":"00A9"},{"category":"Lo","mappings":{"default":{"default":"feminine ordinal indicator"}},"key":"00AA"},{"category":"Pi","mappings":{"default":{"default":"left pointing guillemet"}},"key":"00AB"},{"category":"Sm","mappings":{"default":{"default":"not sign"}},"key":"00AC"},{"category":"So","mappings":{"default":{"default":"registered sign"},"mathspeak":{"default":"registered trade mark sign"},"clearspeak":{"default":"trade mark sign"}},"key":"00AE"},{"category":"Sk","mappings":{"default":{"default":"bar"}},"key":"00AF"},{"category":"So","mappings":{"default":{"default":"degree"},"clearspeak":{"default":"degrees"}},"key":"00B0"},{"category":"Sm","mappings":{"default":{"default":"plus or minus"}},"key":"00B1"},{"category":"Sk","mappings":{"default":{"default":"acute"}},"key":"00B4"},{"category":"Ll","mappings":{"default":{"default":"micro sign"}},"key":"00B5"},{"category":"Po","mappings":{"default":{"default":"paragraph sign"}},"key":"00B6"},{"category":"Po","mappings":{"default":{"default":"dot"},"clearspeak":{"default":"times"}},"key":"00B7"},{"category":"Sk","mappings":{"default":{"default":"cedilla"}},"key":"00B8"},{"category":"Lo","mappings":{"default":{"default":"masculine ordinal indicator"}},"key":"00BA"},{"category":"Pf","mappings":{"default":{"default":"right pointing guillemet"}},"key":"00BB"},{"category":"Po","mappings":{"default":{"default":"inverted question mark"}},"key":"00BF"},{"category":"Sm","mappings":{"default":{"default":"times"},"clearspeak":{"MultsymbolX_By":"by","MultsymbolX_Cross":"cross"}},"key":"00D7"},{"category":"Sm","mappings":{"default":{"default":"division sign"}},"key":"00F7"},{"category":"Sk","mappings":{"default":{"default":"breve"}},"key":"02D8"},{"category":"Sk","mappings":{"default":{"default":"dot above"},"mathspeak":{"default":"dot"}},"key":"02D9"},{"category":"Sk","mappings":{"default":{"default":"ring above"}},"key":"02DA"},{"category":"Sk","mappings":{"default":{"default":"ogonek"}},"key":"02DB"},{"category":"Sk","mappings":{"default":{"default":"tilde"}},"key":"02DC"},{"category":"Sk","mappings":{"default":{"default":"double acute"}},"key":"02DD"},{"category":"Pd","mappings":{"default":{"default":"hyphen"}},"key":"2010"},{"category":"Pd","mappings":{"default":{"default":"non breaking hyphen"}},"key":"2011"},{"category":"Pd","mappings":{"default":{"default":"figure dash"}},"key":"2012"},{"category":"Pd","mappings":{"default":{"default":"en dash"}},"key":"2013"},{"category":"Pd","mappings":{"default":{"default":"em dash"}},"key":"2014"},{"category":"Pd","mappings":{"default":{"default":"horizontal bar"},"mathspeak":{"default":"quotation dash"}},"key":"2015"},{"category":"Po","mappings":{"default":{"default":"double vertical bar"}},"key":"2016"},{"category":"Po","mappings":{"default":{"default":"double underline"}},"key":"2017"},{"category":"Pi","mappings":{"default":{"default":"left single quotation mark"}},"key":"2018"},{"category":"Pf","mappings":{"default":{"default":"right single quotation mark"}},"key":"2019"},{"category":"Ps","mappings":{"default":{"default":"low right single quotation mark"}},"key":"201A"},{"category":"Pi","mappings":{"default":{"default":"left reversed single quotation mark"}},"key":"201B"},{"category":"Pi","mappings":{"default":{"default":"left double quotation mark"}},"key":"201C"},{"category":"Pf","mappings":{"default":{"default":"right double quotation mark"}},"key":"201D"},{"category":"Ps","mappings":{"default":{"default":"low right double quotation mark"}},"key":"201E"},{"category":"Pi","mappings":{"default":{"default":"left reversed double quotation mark"}},"key":"201F"},{"category":"Po","mappings":{"default":{"default":"dagger"}},"key":"2020"},{"category":"Po","mappings":{"default":{"default":"double dagger"}},"key":"2021"},{"category":"Po","mappings":{"default":{"default":"bullet"}},"key":"2022"},{"category":"Po","mappings":{"default":{"default":"triangular bullet"}},"key":"2023"},{"category":"Po","mappings":{"default":{"default":"one dot leader"}},"key":"2024"},{"category":"Po","mappings":{"default":{"default":"two dot leader"}},"key":"2025"},{"category":"Po","mappings":{"default":{"default":"ellipsis"},"clearspeak":{"default":"dot dot dot"}},"key":"2026"},{"category":"Po","mappings":{"default":{"default":"hyphenation point"}},"key":"2027"},{"category":"Po","mappings":{"default":{"default":"per mille"}},"key":"2030"},{"category":"Po","mappings":{"default":{"default":"per ten thousand"}},"key":"2031"},{"category":"Po","mappings":{"default":{"default":"prime"}},"key":"2032"},{"category":"Po","mappings":{"default":{"default":"double prime"}},"key":"2033"},{"category":"Po","mappings":{"default":{"default":"triple prime"}},"key":"2034"},{"category":"Po","mappings":{"default":{"default":"reversed prime"}},"key":"2035"},{"category":"Po","mappings":{"default":{"default":"reversed double prime"}},"key":"2036"},{"category":"Po","mappings":{"default":{"default":"reversed triple prime"}},"key":"2037"},{"category":"Po","mappings":{"default":{"default":"caret"}},"key":"2038"},{"category":"Pi","mappings":{"default":{"default":"left pointing single guillemet"}},"key":"2039"},{"category":"Pf","mappings":{"default":{"default":"right pointing single guillemet"}},"key":"203A"},{"category":"Po","mappings":{"default":{"default":"reference mark"}},"key":"203B"},{"category":"Po","mappings":{"default":{"default":"double exclamation mark"}},"key":"203C"},{"category":"Po","mappings":{"default":{"default":"interrobang"}},"key":"203D"},{"category":"Po","mappings":{"default":{"default":"overline"},"mathspeak":{"default":"bar"}},"key":"203E"},{"category":"Pc","mappings":{"default":{"default":"undertie"}},"key":"203F"},{"category":"Pc","mappings":{"default":{"default":"character tie"}},"key":"2040"},{"category":"Po","mappings":{"default":{"default":"caret insertion point"}},"key":"2041"},{"category":"Po","mappings":{"default":{"default":"asterism"}},"key":"2042"},{"category":"Po","mappings":{"default":{"default":"hyphen bullet"}},"key":"2043"},{"category":"Sm","mappings":{"default":{"default":"fraction slash"}},"key":"2044"},{"category":"Po","mappings":{"default":{"default":"double question mark"}},"key":"2047"},{"category":"Po","mappings":{"default":{"default":"question exclamation mark"}},"key":"2048"},{"category":"Po","mappings":{"default":{"default":"exclamation question mark"}},"key":"2049"},{"category":"Po","mappings":{"default":{"default":"reversed pilcrow"}},"key":"204B"},{"category":"Po","mappings":{"default":{"default":"black leftwards bullet"}},"key":"204C"},{"category":"Po","mappings":{"default":{"default":"black rightwards bullet"}},"key":"204D"},{"category":"Po","mappings":{"default":{"default":"low asterisk"}},"key":"204E"},{"category":"Po","mappings":{"default":{"default":"reversed semicolon"}},"key":"204F"},{"category":"Po","mappings":{"default":{"default":"close up"}},"key":"2050"},{"category":"Po","mappings":{"default":{"default":"two asterisks aligned vertically"}},"key":"2051"},{"category":"Sm","mappings":{"default":{"default":"commercial minus"}},"key":"2052"},{"category":"Po","mappings":{"default":{"default":"swung dash"}},"key":"2053"},{"category":"Pc","mappings":{"default":{"default":"inverted undertie"}},"key":"2054"},{"category":"Po","mappings":{"default":{"default":"flower punctuation mark"}},"key":"2055"},{"category":"Po","mappings":{"default":{"default":"three dot punctuation"}},"key":"2056"},{"category":"Po","mappings":{"default":{"default":"quadruple prime"}},"key":"2057"},{"category":"Po","mappings":{"default":{"default":"four dot punctuation"}},"key":"2058"},{"category":"Po","mappings":{"default":{"default":"five dot punctuation"}},"key":"2059"},{"category":"Po","mappings":{"default":{"default":"two dot punctuation"}},"key":"205A"},{"category":"Po","mappings":{"default":{"default":"four dot mark"}},"key":"205B"},{"category":"Po","mappings":{"default":{"default":"dotted cross"}},"key":"205C"},{"category":"Po","mappings":{"default":{"default":"tricolon"}},"key":"205D"},{"category":"Po","mappings":{"default":{"default":"vertical four dots"}},"key":"205E"},{"category":"Sm","mappings":{"default":{"default":"superscript plus"}},"key":"207A"},{"category":"Sm","mappings":{"default":{"default":"superscript minus"}},"key":"207B"},{"category":"Sm","mappings":{"default":{"default":"superscript equals"}},"key":"207C"},{"category":"Ps","mappings":{"default":{"default":"superscript left parenthesis"}},"key":"207D"},{"category":"Pe","mappings":{"default":{"default":"superscript right parenthesis"}},"key":"207E"},{"category":"Sm","mappings":{"default":{"default":"subscript plus"}},"key":"208A"},{"category":"Sm","mappings":{"default":{"default":"subscript minus"}},"key":"208B"},{"category":"Sm","mappings":{"default":{"default":"subscript equals"}},"key":"208C"},{"category":"Ps","mappings":{"default":{"default":"subscript left parenthesis"}},"key":"208D"},{"category":"Pe","mappings":{"default":{"default":"subscript right parenthesis"}},"key":"208E"},{"category":"So","mappings":{"default":{"default":"property line"}},"key":"214A"},{"category":"Sm","mappings":{"default":{"default":"turned ampersand"}},"key":"214B"},{"category":"So","mappings":{"default":{"default":"per"}},"key":"214C"},{"category":"So","mappings":{"default":{"default":"aktieselskab"}},"key":"214D"},{"category":"Ll","mappings":{"default":{"default":"turned small f"}},"key":"214E"},{"category":"Sm","mappings":{"default":{"default":"for all"}},"key":"2200"},{"category":"Sm","mappings":{"default":{"default":"complement"}},"key":"2201"},{"category":"Sm","mappings":{"default":{"default":"there exists"}},"key":"2203"},{"category":"Sm","mappings":{"default":{"default":"there does not exist"}},"key":"2204"},{"category":"Sm","mappings":{"default":{"default":"empty set"}},"key":"2205"},{"category":"Sm","mappings":{"default":{"default":"increment"}},"key":"2206"},{"category":"Sm","mappings":{"default":{"default":"element of"},"clearspeak":{"default":"is a member of","SetMemberSymbol_Member":"is a member of","SetMemberSymbol_Element":"is an element of","SetMemberSymbol_In":"is in","SetMemberSymbol_Belongs":"belongs to"}},"key":"2208"},{"category":"Sm","mappings":{"default":{"default":"not an element of"},"clearspeak":{"default":"is not a member of","SetMemberSymbol_Member":"is not a member of","SetMemberSymbol_Element":"is not an element of","SetMemberSymbol_In":"is not in","SetMemberSymbol_Belongs":"does not belong to"}},"key":"2209"},{"category":"Sm","mappings":{"default":{"default":"small element of"},"clearspeak":{"default":"is a member of","SetMemberSymbol_Member":"is a member of","SetMemberSymbol_Element":"is an element of","SetMemberSymbol_In":"is in","SetMemberSymbol_Belongs":"belongs to"}},"key":"220A"},{"category":"Sm","mappings":{"default":{"default":"contains as member"}},"key":"220B"},{"category":"Sm","mappings":{"default":{"default":"does not contain as member"}},"key":"220C"},{"category":"Sm","mappings":{"default":{"default":"small contains as member"}},"key":"220D"},{"category":"Sm","mappings":{"default":{"default":"end of proof"}},"key":"220E"},{"category":"Sm","mappings":{"default":{"default":"product"}},"key":"220F"},{"category":"Sm","mappings":{"default":{"default":"coproduct"}},"key":"2210"},{"category":"Sm","mappings":{"default":{"default":"sum"},"mathspeak":{"default":"sigma summation"}},"key":"2211"},{"category":"Sm","mappings":{"default":{"default":"minus"}},"key":"2212"},{"category":"Sm","mappings":{"default":{"default":"minus or plus"}},"key":"2213"},{"category":"Sm","mappings":{"default":{"default":"dot plus"}},"key":"2214"},{"category":"Sm","mappings":{"default":{"default":"division slash"}},"key":"2215"},{"category":"Sm","mappings":{"default":{"default":"set minus"}},"key":"2216"},{"category":"Sm","mappings":{"default":{"default":"asterisk"}},"key":"2217"},{"category":"Sm","mappings":{"default":{"default":"ring"},"clearspeak":{"default":"composed with"}},"key":"2218"},{"category":"Sm","mappings":{"default":{"default":"bullet"}},"key":"2219"},{"category":"Sm","mappings":{"default":{"default":"square root"}},"key":"221A"},{"category":"Sm","mappings":{"default":{"default":"cube root"}},"key":"221B"},{"category":"Sm","mappings":{"default":{"default":"fourth root"}},"key":"221C"},{"category":"Sm","mappings":{"default":{"default":"proportional to"}},"key":"221D"},{"category":"Sm","mappings":{"default":{"default":"infinity"}},"key":"221E"},{"category":"Sm","mappings":{"default":{"default":"right angle"}},"key":"221F"},{"category":"Sm","mappings":{"default":{"default":"angle"}},"key":"2220"},{"category":"Sm","mappings":{"default":{"default":"measured angle"}},"key":"2221"},{"category":"Sm","mappings":{"default":{"default":"spherical angle"}},"key":"2222"},{"category":"Sm","mappings":{"default":{"default":"bar","alternative":"divides"}},"key":"2223"},{"category":"Sm","mappings":{"default":{"default":"does not divide"}},"key":"2224"},{"category":"Sm","mappings":{"default":{"default":"parallel to"}},"key":"2225"},{"category":"Sm","mappings":{"default":{"default":"not parallel to"}},"key":"2226"},{"category":"Sm","mappings":{"default":{"default":"and"}},"key":"2227"},{"category":"Sm","mappings":{"default":{"default":"or"}},"key":"2228"},{"category":"Sm","mappings":{"default":{"default":"intersection"}},"key":"2229"},{"category":"Sm","mappings":{"default":{"default":"union"}},"key":"222A"},{"category":"Sm","mappings":{"default":{"default":"integral"}},"key":"222B"},{"category":"Sm","mappings":{"default":{"default":"double integral"}},"key":"222C"},{"category":"Sm","mappings":{"default":{"default":"triple integral"}},"key":"222D"},{"category":"Sm","mappings":{"default":{"default":"contour integral"}},"key":"222E"},{"category":"Sm","mappings":{"default":{"default":"surface integral"}},"key":"222F"},{"category":"Sm","mappings":{"default":{"default":"volume integral"}},"key":"2230"},{"category":"Sm","mappings":{"default":{"default":"clockwise integral"}},"key":"2231"},{"category":"Sm","mappings":{"default":{"default":"clockwise contour integral"}},"key":"2232"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise contour integral"}},"key":"2233"},{"category":"Sm","mappings":{"default":{"default":"therefore"}},"key":"2234"},{"category":"Sm","mappings":{"default":{"default":"because"}},"key":"2235"},{"category":"Sm","mappings":{"default":{"default":"ratio"}},"key":"2236"},{"category":"Sm","mappings":{"default":{"default":"proportion"}},"key":"2237"},{"category":"Sm","mappings":{"default":{"default":"dot minus"}},"key":"2238"},{"category":"Sm","mappings":{"default":{"default":"excess"}},"key":"2239"},{"category":"Sm","mappings":{"default":{"default":"geometric proportion"}},"key":"223A"},{"category":"Sm","mappings":{"default":{"default":"homothetic"}},"key":"223B"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"223C"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde"}},"key":"223D"},{"category":"Sm","mappings":{"default":{"default":"inverted lazy s"}},"key":"223E"},{"category":"Sm","mappings":{"default":{"default":"sine wave"}},"key":"223F"},{"category":"Sm","mappings":{"default":{"default":"wreath product"}},"key":"2240"},{"category":"Sm","mappings":{"default":{"default":"not tilde"}},"key":"2241"},{"category":"Sm","mappings":{"default":{"default":"minus tilde"}},"key":"2242"},{"category":"Sm","mappings":{"default":{"default":"asymptotically equals"}},"key":"2243"},{"category":"Sm","mappings":{"default":{"default":"not asymptotically equals"}},"key":"2244"},{"category":"Sm","mappings":{"default":{"default":"approximately equals"}},"key":"2245"},{"category":"Sm","mappings":{"default":{"default":"approximately but not actually equals"}},"key":"2246"},{"category":"Sm","mappings":{"default":{"default":"neither approximately nor actually equals"}},"key":"2247"},{"category":"Sm","mappings":{"default":{"default":"almost equals"}},"key":"2248"},{"category":"Sm","mappings":{"default":{"default":"not almost equals"}},"key":"2249"},{"category":"Sm","mappings":{"default":{"default":"almost equal or equals"}},"key":"224A"},{"category":"Sm","mappings":{"default":{"default":"triple tilde"}},"key":"224B"},{"category":"Sm","mappings":{"default":{"default":"all equals"}},"key":"224C"},{"category":"Sm","mappings":{"default":{"default":"equivalent to"}},"key":"224D"},{"category":"Sm","mappings":{"default":{"default":"geometrically equivalent to"}},"key":"224E"},{"category":"Sm","mappings":{"default":{"default":"difference between"}},"key":"224F"},{"category":"Sm","mappings":{"default":{"default":"approaches the limit"}},"key":"2250"},{"category":"Sm","mappings":{"default":{"default":"geometrically equals"}},"key":"2251"},{"category":"Sm","mappings":{"default":{"default":"approximately equals or the image of"}},"key":"2252"},{"category":"Sm","mappings":{"default":{"default":"image of or approximately equals"}},"key":"2253"},{"category":"Sm","mappings":{"default":{"default":"colon equals"}},"key":"2254"},{"category":"Sm","mappings":{"default":{"default":"equals colon"}},"key":"2255"},{"category":"Sm","mappings":{"default":{"default":"ring in equals"}},"key":"2256"},{"category":"Sm","mappings":{"default":{"default":"ring equals"}},"key":"2257"},{"category":"Sm","mappings":{"default":{"default":"corresponds to"}},"key":"2258"},{"category":"Sm","mappings":{"default":{"default":"estimates"}},"key":"2259"},{"category":"Sm","mappings":{"default":{"default":"equiangular to"},"clearspeak":{"default":"is equiangular to"}},"key":"225A"},{"category":"Sm","mappings":{"default":{"default":"star equals"}},"key":"225B"},{"category":"Sm","mappings":{"default":{"default":"delta equals"}},"key":"225C"},{"category":"Sm","mappings":{"default":{"default":"equals by definition"},"clearspeak":{"default":"is defined to be"}},"key":"225D"},{"category":"Sm","mappings":{"default":{"default":"measured by"},"clearspeak":{"default":"is measured by"}},"key":"225E"},{"category":"Sm","mappings":{"default":{"default":"questioned equals"}},"key":"225F"},{"category":"Sm","mappings":{"default":{"default":"not equals"},"clearspeak":{"default":"is not equal to"}},"key":"2260"},{"category":"Sm","mappings":{"default":{"default":"identical to"},"clearspeak":{"default":"is identical to"}},"key":"2261"},{"category":"Sm","mappings":{"default":{"default":"not identical to"},"clearspeak":{"default":"is not identical to"}},"key":"2262"},{"category":"Sm","mappings":{"default":{"default":"strictly equivalent to"},"clearspeak":{"default":"is strictly equivalent to"}},"key":"2263"},{"category":"Sm","mappings":{"default":{"default":"less than or equals"},"clearspeak":{"default":"is less than or equal to"}},"key":"2264"},{"category":"Sm","mappings":{"default":{"default":"greater than or equals"},"clearspeak":{"default":"is greater than or equal to"}},"key":"2265"},{"category":"Sm","mappings":{"default":{"default":"less than over equals"},"clearspeak":{"default":"is less than over equals"}},"key":"2266"},{"category":"Sm","mappings":{"default":{"default":"greater than over equals"},"clearspeak":{"default":"is greater than over equals"}},"key":"2267"},{"category":"Sm","mappings":{"default":{"default":"less than but not equals"},"clearspeak":{"default":"is less than but not equal to"}},"key":"2268"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equals"},"clearspeak":{"default":"is greater than but not equal to"}},"key":"2269"},{"category":"Sm","mappings":{"default":{"default":"much less than"},"clearspeak":{"default":"is much less than"}},"key":"226A"},{"category":"Sm","mappings":{"default":{"default":"much greater than"},"clearspeak":{"default":"is much greater than"}},"key":"226B"},{"category":"Sm","mappings":{"default":{"default":"between"}},"key":"226C"},{"category":"Sm","mappings":{"default":{"default":"not equivalent to"},"clearspeak":{"default":"is not equivalent to"}},"key":"226D"},{"category":"Sm","mappings":{"default":{"default":"not less than"},"clearspeak":{"default":"is not less than"}},"key":"226E"},{"category":"Sm","mappings":{"default":{"default":"not greater than"},"clearspeak":{"default":"is not greater than"}},"key":"226F"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equals"},"clearspeak":{"default":"is neither less than nor equal to"}},"key":"2270"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equals"},"clearspeak":{"default":"is neither greater than nor equal to"}},"key":"2271"},{"category":"Sm","mappings":{"default":{"default":"less than or equivalent to"},"clearspeak":{"default":"is less than or equivalent to"}},"key":"2272"},{"category":"Sm","mappings":{"default":{"default":"greater than or equivalent to"},"clearspeak":{"default":"is greater than or equivalent to"}},"key":"2273"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equivalent to"},"clearspeak":{"default":"is neither less than nor equivalent to"}},"key":"2274"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equivalent to"},"clearspeak":{"default":"is neither greater than nor equivalent to"}},"key":"2275"},{"category":"Sm","mappings":{"default":{"default":"less than or greater than"},"clearspeak":{"default":"is less than or greater than"}},"key":"2276"},{"category":"Sm","mappings":{"default":{"default":"greater than or less than"},"clearspeak":{"default":"is greater than or less than"}},"key":"2277"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor greater than"},"clearspeak":{"default":"is neither less than nor greater than"}},"key":"2278"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor less than"},"clearspeak":{"default":"is neither greater than nor less than"}},"key":"2279"},{"category":"Sm","mappings":{"default":{"default":"precedes"}},"key":"227A"},{"category":"Sm","mappings":{"default":{"default":"succeeds"}},"key":"227B"},{"category":"Sm","mappings":{"default":{"default":"precedes or equal to"}},"key":"227C"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equal to"}},"key":"227D"},{"category":"Sm","mappings":{"default":{"default":"precedes or equivalent to"}},"key":"227E"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equivalent to"}},"key":"227F"},{"category":"Sm","mappings":{"default":{"default":"does not precede"}},"key":"2280"},{"category":"Sm","mappings":{"default":{"default":"does not succeed"}},"key":"2281"},{"category":"Sm","mappings":{"default":{"default":"subset of"}},"key":"2282"},{"category":"Sm","mappings":{"default":{"default":"superset of"}},"key":"2283"},{"category":"Sm","mappings":{"default":{"default":"not a subset of"}},"key":"2284"},{"category":"Sm","mappings":{"default":{"default":"not a superset of"}},"key":"2285"},{"category":"Sm","mappings":{"default":{"default":"subset of or equal to"}},"key":"2286"},{"category":"Sm","mappings":{"default":{"default":"superset of or equal to"}},"key":"2287"},{"category":"Sm","mappings":{"default":{"default":"neither a subset of nor equal to"}},"key":"2288"},{"category":"Sm","mappings":{"default":{"default":"neither a superset of nor equal to"}},"key":"2289"},{"category":"Sm","mappings":{"default":{"default":"subset of or not equals"}},"key":"228A"},{"category":"Sm","mappings":{"default":{"default":"superset of or not equals"}},"key":"228B"},{"category":"Sm","mappings":{"default":{"default":"multiset"}},"key":"228C"},{"category":"Sm","mappings":{"default":{"default":"multiset multiplication"}},"key":"228D"},{"category":"Sm","mappings":{"default":{"default":"multiset union"}},"key":"228E"},{"category":"Sm","mappings":{"default":{"default":"square image of"}},"key":"228F"},{"category":"Sm","mappings":{"default":{"default":"square original of"}},"key":"2290"},{"category":"Sm","mappings":{"default":{"default":"square image of or equal to"}},"key":"2291"},{"category":"Sm","mappings":{"default":{"default":"square original of or equal to"}},"key":"2292"},{"category":"Sm","mappings":{"default":{"default":"square cap"}},"key":"2293"},{"category":"Sm","mappings":{"default":{"default":"square cup"}},"key":"2294"},{"category":"Sm","mappings":{"default":{"default":"circled plus"}},"key":"2295"},{"category":"Sm","mappings":{"default":{"default":"circled minus"}},"key":"2296"},{"category":"Sm","mappings":{"default":{"default":"circled times"}},"key":"2297"},{"category":"Sm","mappings":{"default":{"default":"circled division slash"}},"key":"2298"},{"category":"Sm","mappings":{"default":{"default":"circled dot"}},"key":"2299"},{"category":"Sm","mappings":{"default":{"default":"circled ring"}},"key":"229A"},{"category":"Sm","mappings":{"default":{"default":"circled asterisk"}},"key":"229B"},{"category":"Sm","mappings":{"default":{"default":"circled equals"}},"key":"229C"},{"category":"Sm","mappings":{"default":{"default":"circled dash"}},"key":"229D"},{"category":"Sm","mappings":{"default":{"default":"squared plus"}},"key":"229E"},{"category":"Sm","mappings":{"default":{"default":"squared minus"}},"key":"229F"},{"category":"Sm","mappings":{"default":{"default":"squared times"}},"key":"22A0"},{"category":"Sm","mappings":{"default":{"default":"squared dot"}},"key":"22A1"},{"category":"Sm","mappings":{"default":{"default":"right tack"}},"key":"22A2"},{"category":"Sm","mappings":{"default":{"default":"left tack"}},"key":"22A3"},{"category":"Sm","mappings":{"default":{"default":"down tack"}},"key":"22A4"},{"category":"Sm","mappings":{"default":{"default":"up tack"}},"key":"22A5"},{"category":"Sm","mappings":{"default":{"default":"assertion"}},"key":"22A6"},{"category":"Sm","mappings":{"default":{"default":"models"}},"key":"22A7"},{"category":"Sm","mappings":{"default":{"default":"true"}},"key":"22A8"},{"category":"Sm","mappings":{"default":{"default":"forces"}},"key":"22A9"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar right turnstile"}},"key":"22AA"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double right turnstile"}},"key":"22AB"},{"category":"Sm","mappings":{"default":{"default":"does not prove"}},"key":"22AC"},{"category":"Sm","mappings":{"default":{"default":"not true"}},"key":"22AD"},{"category":"Sm","mappings":{"default":{"default":"does not force"}},"key":"22AE"},{"category":"Sm","mappings":{"default":{"default":"negated double vertical bar double right turnstile"}},"key":"22AF"},{"category":"Sm","mappings":{"default":{"default":"precedes under relation"}},"key":"22B0"},{"category":"Sm","mappings":{"default":{"default":"succeeds under relation"}},"key":"22B1"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of"}},"key":"22B2"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup"}},"key":"22B3"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of or equal to"}},"key":"22B4"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup or equal to"}},"key":"22B5"},{"category":"Sm","mappings":{"default":{"default":"original of"}},"key":"22B6"},{"category":"Sm","mappings":{"default":{"default":"image of"}},"key":"22B7"},{"category":"Sm","mappings":{"default":{"default":"multimap"}},"key":"22B8"},{"category":"Sm","mappings":{"default":{"default":"hermitian conjugate matrix"}},"key":"22B9"},{"category":"Sm","mappings":{"default":{"default":"intercalate"}},"key":"22BA"},{"category":"Sm","mappings":{"default":{"default":"xor"}},"key":"22BB"},{"category":"Sm","mappings":{"default":{"default":"nand"}},"key":"22BC"},{"category":"Sm","mappings":{"default":{"default":"nor"}},"key":"22BD"},{"category":"Sm","mappings":{"default":{"default":"right triangle"}},"key":"22BF"},{"category":"Sm","mappings":{"default":{"default":"n ary and"},"mathspeak":{"default":"and"}},"key":"22C0"},{"category":"Sm","mappings":{"default":{"default":"n ary or"},"mathspeak":{"default":"or"}},"key":"22C1"},{"category":"Sm","mappings":{"default":{"default":"n ary intersection"},"mathspeak":{"default":"intersection"}},"key":"22C2"},{"category":"Sm","mappings":{"default":{"default":"n ary union"},"mathspeak":{"default":"union"}},"key":"22C3"},{"category":"Sm","mappings":{"default":{"default":"diamond"}},"key":"22C4"},{"category":"Sm","mappings":{"default":{"default":"dot"},"clearspeak":{"default":"times","MultsymbolDot_Dot":"dot"}},"key":"22C5"},{"category":"Sm","mappings":{"default":{"default":"star"}},"key":"22C6"},{"category":"Sm","mappings":{"default":{"default":"division times"}},"key":"22C7"},{"category":"Sm","mappings":{"default":{"default":"bowtie"}},"key":"22C8"},{"category":"Sm","mappings":{"default":{"default":"left normal factor semidirect product"}},"key":"22C9"},{"category":"Sm","mappings":{"default":{"default":"right normal factor semidirect product"}},"key":"22CA"},{"category":"Sm","mappings":{"default":{"default":"left semidirect product"}},"key":"22CB"},{"category":"Sm","mappings":{"default":{"default":"right semidirect product"}},"key":"22CC"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde equals"}},"key":"22CD"},{"category":"Sm","mappings":{"default":{"default":"curly or"}},"key":"22CE"},{"category":"Sm","mappings":{"default":{"default":"curly and"}},"key":"22CF"},{"category":"Sm","mappings":{"default":{"default":"double subset"}},"key":"22D0"},{"category":"Sm","mappings":{"default":{"default":"double superset"}},"key":"22D1"},{"category":"Sm","mappings":{"default":{"default":"double intersection"}},"key":"22D2"},{"category":"Sm","mappings":{"default":{"default":"double union"}},"key":"22D3"},{"category":"Sm","mappings":{"default":{"default":"pitchfork"}},"key":"22D4"},{"category":"Sm","mappings":{"default":{"default":"equal and parallel to"},"clearspeak":{"default":"is equal and parallel to"}},"key":"22D5"},{"category":"Sm","mappings":{"default":{"default":"less than dot"},"clearspeak":{"default":"is less than dot"}},"key":"22D6"},{"category":"Sm","mappings":{"default":{"default":"greater than dot"},"clearspeak":{"default":"is greater than dot"}},"key":"22D7"},{"category":"Sm","mappings":{"default":{"default":"very much less than"},"clearspeak":{"default":"is very much less than"}},"key":"22D8"},{"category":"Sm","mappings":{"default":{"default":"very much greater than"},"clearspeak":{"default":"is very much greater than"}},"key":"22D9"},{"category":"Sm","mappings":{"default":{"default":"less than equals or greater than"},"clearspeak":{"default":"is less than equal to or greater than"}},"key":"22DA"},{"category":"Sm","mappings":{"default":{"default":"greater than equals or less than"},"clearspeak":{"default":"is greater than equal to or less than"}},"key":"22DB"},{"category":"Sm","mappings":{"default":{"default":"equals or less than"},"clearspeak":{"default":"is equal to or less than"}},"key":"22DC"},{"category":"Sm","mappings":{"default":{"default":"equals or greater than"},"clearspeak":{"default":"is equal to or greater than"}},"key":"22DD"},{"category":"Sm","mappings":{"default":{"default":"equals or precedes"},"clearspeak":{"default":"is equal to or precedes"}},"key":"22DE"},{"category":"Sm","mappings":{"default":{"default":"equals or succeeds"},"clearspeak":{"default":"is equal to or succeeds"}},"key":"22DF"},{"category":"Sm","mappings":{"default":{"default":"does not precede or equal"}},"key":"22E0"},{"category":"Sm","mappings":{"default":{"default":"does not succeed or equal"}},"key":"22E1"},{"category":"Sm","mappings":{"default":{"default":"not square image of or equals"},"clearspeak":{"default":"is not square image of or equal to"}},"key":"22E2"},{"category":"Sm","mappings":{"default":{"default":"not square original of or equals"},"clearspeak":{"default":"is not square original of or equal to"}},"key":"22E3"},{"category":"Sm","mappings":{"default":{"default":"square image of or not equals"},"clearspeak":{"default":"is square image of or not equal to"}},"key":"22E4"},{"category":"Sm","mappings":{"default":{"default":"square original of or not equals"},"clearspeak":{"default":"is square original of or not equal to"}},"key":"22E5"},{"category":"Sm","mappings":{"default":{"default":"less than but not equivalent to"},"clearspeak":{"default":"is less than but not equivalent to"}},"key":"22E6"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equivalent to"},"clearspeak":{"default":"is greater than but not equivalent to"}},"key":"22E7"},{"category":"Sm","mappings":{"default":{"default":"precedes but not equivalent to"}},"key":"22E8"},{"category":"Sm","mappings":{"default":{"default":"succeeds but not equivalent to"}},"key":"22E9"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of"},"clearspeak":{"default":"is not normal subgroup of"}},"key":"22EA"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup"}},"key":"22EB"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of or equals"},"clearspeak":{"default":"is not normal subgroup of or equal to"}},"key":"22EC"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup or equal"}},"key":"22ED"},{"category":"Sm","mappings":{"default":{"default":"vertical ellipsis"}},"key":"22EE"},{"category":"Sm","mappings":{"default":{"default":"midline horizontal ellipsis"},"clearspeak":{"default":"dot dot dot"}},"key":"22EF"},{"category":"Sm","mappings":{"default":{"default":"up right diagonal ellipsis"}},"key":"22F0"},{"category":"Sm","mappings":{"default":{"default":"down right diagonal ellipsis"}},"key":"22F1"},{"category":"Sm","mappings":{"default":{"default":"element of with long horizontal stroke"}},"key":"22F2"},{"category":"Sm","mappings":{"default":{"default":"element of with vertical bar at end of horizontal stroke"}},"key":"22F3"},{"category":"Sm","mappings":{"default":{"default":"small element of with vertical bar at end of horizontal stroke"}},"key":"22F4"},{"category":"Sm","mappings":{"default":{"default":"element of with dot above"}},"key":"22F5"},{"category":"Sm","mappings":{"default":{"default":"element of with overbar"}},"key":"22F6"},{"category":"Sm","mappings":{"default":{"default":"small element of with overbar"}},"key":"22F7"},{"category":"Sm","mappings":{"default":{"default":"element of with underbar"}},"key":"22F8"},{"category":"Sm","mappings":{"default":{"default":"element of with two horizontal strokes"}},"key":"22F9"},{"category":"Sm","mappings":{"default":{"default":"contains with long horizontal stroke"}},"key":"22FA"},{"category":"Sm","mappings":{"default":{"default":"contains with vertical bar at end of horizontal stroke"}},"key":"22FB"},{"category":"Sm","mappings":{"default":{"default":"small contains with vertical bar at end of horizontal stroke"}},"key":"22FC"},{"category":"Sm","mappings":{"default":{"default":"contains with overbar"}},"key":"22FD"},{"category":"Sm","mappings":{"default":{"default":"small contains with overbar"}},"key":"22FE"},{"category":"Sm","mappings":{"default":{"default":"z notation bag membership"}},"key":"22FF"},{"category":"So","mappings":{"default":{"default":"diameter sign"}},"key":"2300"},{"category":"So","mappings":{"default":{"default":"house"}},"key":"2302"},{"category":"So","mappings":{"default":{"default":"projective"}},"key":"2305"},{"category":"So","mappings":{"default":{"default":"perspective"}},"key":"2306"},{"category":"So","mappings":{"default":{"default":"wavy line"}},"key":"2307"},{"category":"So","mappings":{"default":{"default":"reversed not"}},"key":"2310"},{"category":"So","mappings":{"default":{"default":"square lozenge"}},"key":"2311"},{"category":"So","mappings":{"default":{"default":"arc"}},"key":"2312"},{"category":"So","mappings":{"default":{"default":"segment"}},"key":"2313"},{"category":"So","mappings":{"default":{"default":"sector"}},"key":"2314"},{"category":"So","mappings":{"default":{"default":"bold plus"}},"key":"2795"},{"category":"So","mappings":{"default":{"default":"bold minus"}},"key":"2796"},{"category":"So","mappings":{"default":{"default":"bold division"}},"key":"2797"},{"category":"So","mappings":{"default":{"default":"curly loop"}},"key":"27B0"},{"category":"So","mappings":{"default":{"default":"double curly loop"}},"key":"27BF"},{"category":"Sm","mappings":{"default":{"default":"white triangle containing small white triangle"}},"key":"27C1"},{"category":"Sm","mappings":{"default":{"default":"perpendicular"}},"key":"27C2"},{"category":"Sm","mappings":{"default":{"default":"open subset"}},"key":"27C3"},{"category":"Sm","mappings":{"default":{"default":"open superset"}},"key":"27C4"},{"category":"Sm","mappings":{"default":{"default":"or with dot inside"}},"key":"27C7"},{"category":"Sm","mappings":{"default":{"default":"backslash preceding subset"}},"key":"27C8"},{"category":"Sm","mappings":{"default":{"default":"superset preceding solidus"}},"key":"27C9"},{"category":"Sm","mappings":{"default":{"default":"vertical bar with horizontal stroke"}},"key":"27CA"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal"}},"key":"27CB"},{"category":"Sm","mappings":{"default":{"default":"long division"}},"key":"27CC"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal"}},"key":"27CD"},{"category":"Sm","mappings":{"default":{"default":"squared and"}},"key":"27CE"},{"category":"Sm","mappings":{"default":{"default":"squared or"}},"key":"27CF"},{"category":"Sm","mappings":{"default":{"default":"white diamond with centered dot"}},"key":"27D0"},{"category":"Sm","mappings":{"default":{"default":"and with dot"}},"key":"27D1"},{"category":"Sm","mappings":{"default":{"default":"element of opening upwards"}},"key":"27D2"},{"category":"Sm","mappings":{"default":{"default":"lower right corner with dot"}},"key":"27D3"},{"category":"Sm","mappings":{"default":{"default":"upper left corner with dot"}},"key":"27D4"},{"category":"Sm","mappings":{"default":{"default":"left outer join"}},"key":"27D5"},{"category":"Sm","mappings":{"default":{"default":"right outer join"}},"key":"27D6"},{"category":"Sm","mappings":{"default":{"default":"full outer join"}},"key":"27D7"},{"category":"Sm","mappings":{"default":{"default":"large up tack"}},"key":"27D8"},{"category":"Sm","mappings":{"default":{"default":"large down tack"}},"key":"27D9"},{"category":"Sm","mappings":{"default":{"default":"left and right double turnstile"}},"key":"27DA"},{"category":"Sm","mappings":{"default":{"default":"left and right tack"}},"key":"27DB"},{"category":"Sm","mappings":{"default":{"default":"left multimap"}},"key":"27DC"},{"category":"Sm","mappings":{"default":{"default":"long right tack"}},"key":"27DD"},{"category":"Sm","mappings":{"default":{"default":"long left tack"}},"key":"27DE"},{"category":"Sm","mappings":{"default":{"default":"up tack with circle above"}},"key":"27DF"},{"category":"Sm","mappings":{"default":{"default":"lozenge divided by horizontal rule"}},"key":"27E0"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond"}},"key":"27E1"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with leftwards tick"}},"key":"27E2"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with rightwards tick"}},"key":"27E3"},{"category":"Sm","mappings":{"default":{"default":"white square with leftwards tick"}},"key":"27E4"},{"category":"Sm","mappings":{"default":{"default":"white square with rightwards tick"}},"key":"27E5"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing falling diagonal"}},"key":"292B"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing rising diagonal"}},"key":"292C"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar delimiter"}},"key":"2980"},{"category":"Sm","mappings":{"default":{"default":"z notation spot"}},"key":"2981"},{"category":"Sm","mappings":{"default":{"default":"z notation type colon"}},"key":"2982"},{"category":"Sm","mappings":{"default":{"default":"dotted fence"}},"key":"2999"},{"category":"Sm","mappings":{"default":{"default":"vertical zigzag line"}},"key":"299A"},{"category":"Sm","mappings":{"default":{"default":"reversed empty set"}},"key":"29B0"},{"category":"Sm","mappings":{"default":{"default":"empty set with overbar"}},"key":"29B1"},{"category":"Sm","mappings":{"default":{"default":"empty set with small circle above"}},"key":"29B2"},{"category":"Sm","mappings":{"default":{"default":"circle with horizontal bar"}},"key":"29B5"},{"category":"Sm","mappings":{"default":{"default":"circled vertical bar"}},"key":"29B6"},{"category":"Sm","mappings":{"default":{"default":"circled parallel"}},"key":"29B7"},{"category":"Sm","mappings":{"default":{"default":"circled backslash"}},"key":"29B8"},{"category":"Sm","mappings":{"default":{"default":"circled perpendicular"}},"key":"29B9"},{"category":"Sm","mappings":{"default":{"default":"circle divided by horizontal bar and top half divided by vertical bar"}},"key":"29BA"},{"category":"Sm","mappings":{"default":{"default":"circle with superimposed x"}},"key":"29BB"},{"category":"Sm","mappings":{"default":{"default":"circled anticlockwise rotated division"}},"key":"29BC"},{"category":"Sm","mappings":{"default":{"default":"circled white bullet"}},"key":"29BE"},{"category":"Sm","mappings":{"default":{"default":"circled bullet"}},"key":"29BF"},{"category":"Sm","mappings":{"default":{"default":"circled less than"}},"key":"29C0"},{"category":"Sm","mappings":{"default":{"default":"circled greater than"}},"key":"29C1"},{"category":"Sm","mappings":{"default":{"default":"circle with small circle to the right"}},"key":"29C2"},{"category":"Sm","mappings":{"default":{"default":"circle with two horizontal strokes to the right"}},"key":"29C3"},{"category":"Sm","mappings":{"default":{"default":"squared rising diagonal slash"}},"key":"29C4"},{"category":"Sm","mappings":{"default":{"default":"squared falling diagonal slash"}},"key":"29C5"},{"category":"Sm","mappings":{"default":{"default":"squared asterisk"}},"key":"29C6"},{"category":"Sm","mappings":{"default":{"default":"squared small circle"}},"key":"29C7"},{"category":"Sm","mappings":{"default":{"default":"squared square"}},"key":"29C8"},{"category":"Sm","mappings":{"default":{"default":"two joined squares"}},"key":"29C9"},{"category":"Sm","mappings":{"default":{"default":"triangle with dot above"}},"key":"29CA"},{"category":"Sm","mappings":{"default":{"default":"triangle with underbar"}},"key":"29CB"},{"category":"Sm","mappings":{"default":{"default":"s in triangle"}},"key":"29CC"},{"category":"Sm","mappings":{"default":{"default":"triangle with serifs at bottom"}},"key":"29CD"},{"category":"Sm","mappings":{"default":{"default":"right triangle above left triangle"}},"key":"29CE"},{"category":"Sm","mappings":{"default":{"default":"left triangle beside vertical bar"}},"key":"29CF"},{"category":"Sm","mappings":{"default":{"default":"vertical bar beside right triangle"}},"key":"29D0"},{"category":"Sm","mappings":{"default":{"default":"bowtie with left half black"}},"key":"29D1"},{"category":"Sm","mappings":{"default":{"default":"bowtie with right half black"}},"key":"29D2"},{"category":"Sm","mappings":{"default":{"default":"black bowtie"}},"key":"29D3"},{"category":"Sm","mappings":{"default":{"default":"times with left half black"}},"key":"29D4"},{"category":"Sm","mappings":{"default":{"default":"times with right half black"}},"key":"29D5"},{"category":"Sm","mappings":{"default":{"default":"white hourglass"}},"key":"29D6"},{"category":"Sm","mappings":{"default":{"default":"black hourglass"}},"key":"29D7"},{"category":"Sm","mappings":{"default":{"default":"incomplete infinity"}},"key":"29DC"},{"category":"Sm","mappings":{"default":{"default":"tie over infinity"}},"key":"29DD"},{"category":"Sm","mappings":{"default":{"default":"infinity negated with vertical bar"}},"key":"29DE"},{"category":"Sm","mappings":{"default":{"default":"double ended multimap"}},"key":"29DF"},{"category":"Sm","mappings":{"default":{"default":"square with contoured outline"}},"key":"29E0"},{"category":"Sm","mappings":{"default":{"default":"increases as"}},"key":"29E1"},{"category":"Sm","mappings":{"default":{"default":"shuffle product"}},"key":"29E2"},{"category":"Sm","mappings":{"default":{"default":"equals and slanted parallel"}},"key":"29E3"},{"category":"Sm","mappings":{"default":{"default":"equals and slanted parallel with tilde above"}},"key":"29E4"},{"category":"Sm","mappings":{"default":{"default":"identical to and slanted parallel"}},"key":"29E5"},{"category":"Sm","mappings":{"default":{"default":"gleich stark"}},"key":"29E6"},{"category":"Sm","mappings":{"default":{"default":"thermodynamic"}},"key":"29E7"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with left half black"}},"key":"29E8"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with right half black"}},"key":"29E9"},{"category":"Sm","mappings":{"default":{"default":"black lozenge"}},"key":"29EB"},{"category":"Sm","mappings":{"default":{"default":"error barred white square"}},"key":"29EE"},{"category":"Sm","mappings":{"default":{"default":"error barred black square"}},"key":"29EF"},{"category":"Sm","mappings":{"default":{"default":"error barred white diamond"}},"key":"29F0"},{"category":"Sm","mappings":{"default":{"default":"error barred black diamond"}},"key":"29F1"},{"category":"Sm","mappings":{"default":{"default":"error barred white circle"}},"key":"29F2"},{"category":"Sm","mappings":{"default":{"default":"error barred black circle"}},"key":"29F3"},{"category":"Sm","mappings":{"default":{"default":"rule delayed"}},"key":"29F4"},{"category":"Sm","mappings":{"default":{"default":"backslash"}},"key":"29F5"},{"category":"Sm","mappings":{"default":{"default":"solidus with overbar"}},"key":"29F6"},{"category":"Sm","mappings":{"default":{"default":"backslash with horizontal stroke"}},"key":"29F7"},{"category":"Sm","mappings":{"default":{"default":"big solidus"},"mathspeak":{"default":"solidus"}},"key":"29F8"},{"category":"Sm","mappings":{"default":{"default":"big backslash"},"mathspeak":{"default":"backslash"}},"key":"29F9"},{"category":"Sm","mappings":{"default":{"default":"double plus"}},"key":"29FA"},{"category":"Sm","mappings":{"default":{"default":"triple plus"}},"key":"29FB"},{"category":"Sm","mappings":{"default":{"default":"tiny"}},"key":"29FE"},{"category":"Sm","mappings":{"default":{"default":"miny"}},"key":"29FF"},{"category":"Sm","mappings":{"default":{"default":"n ary circled dot"},"mathspeak":{"default":"circled dot"}},"key":"2A00"},{"category":"Sm","mappings":{"default":{"default":"n ary circled plus"},"mathspeak":{"default":"circled plus"}},"key":"2A01"},{"category":"Sm","mappings":{"default":{"default":"n ary circled times"},"mathspeak":{"default":"circled times"}},"key":"2A02"},{"category":"Sm","mappings":{"default":{"default":"n ary union with dot"},"mathspeak":{"default":"union with dot"}},"key":"2A03"},{"category":"Sm","mappings":{"default":{"default":"n ary union operator with plus"},"mathspeak":{"default":"union with plus"}},"key":"2A04"},{"category":"Sm","mappings":{"default":{"default":"n ary square intersection"},"mathspeak":{"default":"square intersection"}},"key":"2A05"},{"category":"Sm","mappings":{"default":{"default":"n ary square union"},"mathspeak":{"default":"square union"}},"key":"2A06"},{"category":"Sm","mappings":{"default":{"default":"two and"}},"key":"2A07"},{"category":"Sm","mappings":{"default":{"default":"two or"}},"key":"2A08"},{"category":"Sm","mappings":{"default":{"default":"n ary times"},"mathspeak":{"default":"times"}},"key":"2A09"},{"category":"Sm","mappings":{"default":{"default":"modulo two sum"}},"key":"2A0A"},{"category":"Sm","mappings":{"default":{"default":"summation with integral"}},"key":"2A0B"},{"category":"Sm","mappings":{"default":{"default":"quadruple integral"}},"key":"2A0C"},{"category":"Sm","mappings":{"default":{"default":"finite part integral"}},"key":"2A0D"},{"category":"Sm","mappings":{"default":{"default":"integral with double stroke"}},"key":"2A0E"},{"category":"Sm","mappings":{"default":{"default":"integral average with slash"}},"key":"2A0F"},{"category":"Sm","mappings":{"default":{"default":"circulation function"}},"key":"2A10"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise integration"}},"key":"2A11"},{"category":"Sm","mappings":{"default":{"default":"line integration with rectangular path around pole"}},"key":"2A12"},{"category":"Sm","mappings":{"default":{"default":"line integration with semicircular path around pole"}},"key":"2A13"},{"category":"Sm","mappings":{"default":{"default":"line integration not including the pole"}},"key":"2A14"},{"category":"Sm","mappings":{"default":{"default":"integral around a point"}},"key":"2A15"},{"category":"Sm","mappings":{"default":{"default":"quaternion integral"}},"key":"2A16"},{"category":"Sm","mappings":{"default":{"default":"integral with times"}},"key":"2A18"},{"category":"Sm","mappings":{"default":{"default":"integral with intersection"}},"key":"2A19"},{"category":"Sm","mappings":{"default":{"default":"integral with union"}},"key":"2A1A"},{"category":"Sm","mappings":{"default":{"default":"integral with overbar"}},"key":"2A1B"},{"category":"Sm","mappings":{"default":{"default":"integral with underbar"}},"key":"2A1C"},{"category":"Sm","mappings":{"default":{"default":"join"}},"key":"2A1D"},{"category":"Sm","mappings":{"default":{"default":"large left triangle"}},"key":"2A1E"},{"category":"Sm","mappings":{"default":{"default":"z notation schema composition"}},"key":"2A1F"},{"category":"Sm","mappings":{"default":{"default":"z notation schema piping"}},"key":"2A20"},{"category":"Sm","mappings":{"default":{"default":"z notation schema projection"}},"key":"2A21"},{"category":"Sm","mappings":{"default":{"default":"plus with circle above"}},"key":"2A22"},{"category":"Sm","mappings":{"default":{"default":"plus hat"}},"key":"2A23"},{"category":"Sm","mappings":{"default":{"default":"plus tilde"}},"key":"2A24"},{"category":"Sm","mappings":{"default":{"default":"plus underdot"}},"key":"2A25"},{"category":"Sm","mappings":{"default":{"default":"plus sign with tilde below"}},"key":"2A26"},{"category":"Sm","mappings":{"default":{"default":"plus sign with subscript two"}},"key":"2A27"},{"category":"Sm","mappings":{"default":{"default":"plus sign with black triangle"}},"key":"2A28"},{"category":"Sm","mappings":{"default":{"default":"minus sign with comma above"}},"key":"2A29"},{"category":"Sm","mappings":{"default":{"default":"minus sign with dot below"}},"key":"2A2A"},{"category":"Sm","mappings":{"default":{"default":"minus sign with falling dots"}},"key":"2A2B"},{"category":"Sm","mappings":{"default":{"default":"minus sign with rising dots"}},"key":"2A2C"},{"category":"Sm","mappings":{"default":{"default":"plus sign in left half circle"}},"key":"2A2D"},{"category":"Sm","mappings":{"default":{"default":"plus sign in right half circle"}},"key":"2A2E"},{"category":"Sm","mappings":{"default":{"default":"vector or cross product"}},"key":"2A2F"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with dot above"}},"key":"2A30"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with underbar"}},"key":"2A31"},{"category":"Sm","mappings":{"default":{"default":"semidirect product with bottom closed"}},"key":"2A32"},{"category":"Sm","mappings":{"default":{"default":"smash product"}},"key":"2A33"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in left half circle"}},"key":"2A34"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in right half circle"}},"key":"2A35"},{"category":"Sm","mappings":{"default":{"default":"circled multiplication sign with circumflex accent"}},"key":"2A36"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in double circle"}},"key":"2A37"},{"category":"Sm","mappings":{"default":{"default":"circled division"}},"key":"2A38"},{"category":"Sm","mappings":{"default":{"default":"plus sign in triangle"}},"key":"2A39"},{"category":"Sm","mappings":{"default":{"default":"minus sign in triangle"}},"key":"2A3A"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in triangle"}},"key":"2A3B"},{"category":"Sm","mappings":{"default":{"default":"interior product"}},"key":"2A3C"},{"category":"Sm","mappings":{"default":{"default":"righthand interior product"}},"key":"2A3D"},{"category":"Sm","mappings":{"default":{"default":"z notation relational composition"}},"key":"2A3E"},{"category":"Sm","mappings":{"default":{"default":"amalgamation or coproduct"}},"key":"2A3F"},{"category":"Sm","mappings":{"default":{"default":"intersection with dot"}},"key":"2A40"},{"category":"Sm","mappings":{"default":{"default":"union with minus"}},"key":"2A41"},{"category":"Sm","mappings":{"default":{"default":"union with overbar"}},"key":"2A42"},{"category":"Sm","mappings":{"default":{"default":"intersection with overbar"}},"key":"2A43"},{"category":"Sm","mappings":{"default":{"default":"intersection with and"}},"key":"2A44"},{"category":"Sm","mappings":{"default":{"default":"union with or"}},"key":"2A45"},{"category":"Sm","mappings":{"default":{"default":"union above intersection"}},"key":"2A46"},{"category":"Sm","mappings":{"default":{"default":"intersection above union"}},"key":"2A47"},{"category":"Sm","mappings":{"default":{"default":"union above bar above intersection"}},"key":"2A48"},{"category":"Sm","mappings":{"default":{"default":"intersection above bar above union"}},"key":"2A49"},{"category":"Sm","mappings":{"default":{"default":"union beside and joined with union"}},"key":"2A4A"},{"category":"Sm","mappings":{"default":{"default":"intersection beside and joined with intersection"}},"key":"2A4B"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs"}},"key":"2A4C"},{"category":"Sm","mappings":{"default":{"default":"closed intersection with serifs"}},"key":"2A4D"},{"category":"Sm","mappings":{"default":{"default":"double square intersection"}},"key":"2A4E"},{"category":"Sm","mappings":{"default":{"default":"double square union"}},"key":"2A4F"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs and smash product"}},"key":"2A50"},{"category":"Sm","mappings":{"default":{"default":"and with dot above"}},"key":"2A51"},{"category":"Sm","mappings":{"default":{"default":"or with dot above"}},"key":"2A52"},{"category":"Sm","mappings":{"default":{"default":"double and"}},"key":"2A53"},{"category":"Sm","mappings":{"default":{"default":"double or"}},"key":"2A54"},{"category":"Sm","mappings":{"default":{"default":"two intersecting and"}},"key":"2A55"},{"category":"Sm","mappings":{"default":{"default":"two intersecting or"}},"key":"2A56"},{"category":"Sm","mappings":{"default":{"default":"sloping large or"}},"key":"2A57"},{"category":"Sm","mappings":{"default":{"default":"sloping large and"}},"key":"2A58"},{"category":"Sm","mappings":{"default":{"default":"or overlapping and"}},"key":"2A59"},{"category":"Sm","mappings":{"default":{"default":"and with middle stem"}},"key":"2A5A"},{"category":"Sm","mappings":{"default":{"default":"or with middle stem"}},"key":"2A5B"},{"category":"Sm","mappings":{"default":{"default":"and with horizontal dash"}},"key":"2A5C"},{"category":"Sm","mappings":{"default":{"default":"or with horizontal dash"}},"key":"2A5D"},{"category":"Sm","mappings":{"default":{"default":"and with double overbar"}},"key":"2A5E"},{"category":"Sm","mappings":{"default":{"default":"and with underbar"}},"key":"2A5F"},{"category":"Sm","mappings":{"default":{"default":"and with double underbar"}},"key":"2A60"},{"category":"Sm","mappings":{"default":{"default":"small vee with underbar"}},"key":"2A61"},{"category":"Sm","mappings":{"default":{"default":"or with double overbar"}},"key":"2A62"},{"category":"Sm","mappings":{"default":{"default":"or with double underbar"}},"key":"2A63"},{"category":"Sm","mappings":{"default":{"default":"z notation domain antirestriction"}},"key":"2A64"},{"category":"Sm","mappings":{"default":{"default":"z notation range antirestriction"}},"key":"2A65"},{"category":"Sm","mappings":{"default":{"default":"equals sign with dot below"}},"key":"2A66"},{"category":"Sm","mappings":{"default":{"default":"identical with dot above"}},"key":"2A67"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with double vertical stroke"}},"key":"2A68"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with triple vertical stroke"}},"key":"2A69"},{"category":"Sm","mappings":{"default":{"default":"tilde with dot above"}},"key":"2A6A"},{"category":"Sm","mappings":{"default":{"default":"tilde with rising dots"}},"key":"2A6B"},{"category":"Sm","mappings":{"default":{"default":"similar minus similar"}},"key":"2A6C"},{"category":"Sm","mappings":{"default":{"default":"congruent with dot above"}},"key":"2A6D"},{"category":"Sm","mappings":{"default":{"default":"equals with asterisk"}},"key":"2A6E"},{"category":"Sm","mappings":{"default":{"default":"almost equal hat"}},"key":"2A6F"},{"category":"Sm","mappings":{"default":{"default":"approximately equal or equal to"}},"key":"2A70"},{"category":"Sm","mappings":{"default":{"default":"equals above plus"}},"key":"2A71"},{"category":"Sm","mappings":{"default":{"default":"plus above equals"}},"key":"2A72"},{"category":"Sm","mappings":{"default":{"default":"equals above tilde"}},"key":"2A73"},{"category":"Sm","mappings":{"default":{"default":"double colon equal"}},"key":"2A74"},{"category":"Sm","mappings":{"default":{"default":"two consecutive equals"}},"key":"2A75"},{"category":"Sm","mappings":{"default":{"default":"three consecutive equals"}},"key":"2A76"},{"category":"Sm","mappings":{"default":{"default":"equals sign with two dots above and two dots below"}},"key":"2A77"},{"category":"Sm","mappings":{"default":{"default":"equivalent with four dots above"}},"key":"2A78"},{"category":"Sm","mappings":{"default":{"default":"less than with circle inside"}},"key":"2A79"},{"category":"Sm","mappings":{"default":{"default":"greater than with circle inside"}},"key":"2A7A"},{"category":"Sm","mappings":{"default":{"default":"less than with question mark above"}},"key":"2A7B"},{"category":"Sm","mappings":{"default":{"default":"greater than with question mark above"}},"key":"2A7C"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals"}},"key":"2A7D"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals"}},"key":"2A7E"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot inside"}},"key":"2A7F"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot inside"}},"key":"2A80"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above"}},"key":"2A81"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above"}},"key":"2A82"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above right"}},"key":"2A83"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above left"}},"key":"2A84"},{"category":"Sm","mappings":{"default":{"default":"less than or approximate"}},"key":"2A85"},{"category":"Sm","mappings":{"default":{"default":"greater than or approximate"}},"key":"2A86"},{"category":"Sm","mappings":{"default":{"default":"less than and single line not equals"}},"key":"2A87"},{"category":"Sm","mappings":{"default":{"default":"greater than and single line not equals"}},"key":"2A88"},{"category":"Sm","mappings":{"default":{"default":"less than and not approximate"}},"key":"2A89"},{"category":"Sm","mappings":{"default":{"default":"greater than and not approximate"}},"key":"2A8A"},{"category":"Sm","mappings":{"default":{"default":"less than above double line equal above greater than"}},"key":"2A8B"},{"category":"Sm","mappings":{"default":{"default":"greater than above double line equal above less than"}},"key":"2A8C"},{"category":"Sm","mappings":{"default":{"default":"less than above similar or equal"}},"key":"2A8D"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar or equal"}},"key":"2A8E"},{"category":"Sm","mappings":{"default":{"default":"less than above similar above greater than"}},"key":"2A8F"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar above less than"}},"key":"2A90"},{"category":"Sm","mappings":{"default":{"default":"less than above greater than above double line equal"}},"key":"2A91"},{"category":"Sm","mappings":{"default":{"default":"greater than above less than above double line equal"}},"key":"2A92"},{"category":"Sm","mappings":{"default":{"default":"less than above slanted equal above greater than above slanted equal"}},"key":"2A93"},{"category":"Sm","mappings":{"default":{"default":"greater than above slanted equal above less than above slanted equal"}},"key":"2A94"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than"}},"key":"2A95"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than"}},"key":"2A96"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than with dot inside"}},"key":"2A97"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than with dot inside"}},"key":"2A98"},{"category":"Sm","mappings":{"default":{"default":"double line equals or less than"}},"key":"2A99"},{"category":"Sm","mappings":{"default":{"default":"double line equals or greater than"}},"key":"2A9A"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or less than"}},"key":"2A9B"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or greater than"}},"key":"2A9C"},{"category":"Sm","mappings":{"default":{"default":"similar or less than"}},"key":"2A9D"},{"category":"Sm","mappings":{"default":{"default":"similar or greater than"}},"key":"2A9E"},{"category":"Sm","mappings":{"default":{"default":"similar above less than above equals sign"}},"key":"2A9F"},{"category":"Sm","mappings":{"default":{"default":"similar above greater than above equals sign"}},"key":"2AA0"},{"category":"Sm","mappings":{"default":{"default":"double nested less than"}},"key":"2AA1"},{"category":"Sm","mappings":{"default":{"default":"double nested greater than"}},"key":"2AA2"},{"category":"Sm","mappings":{"default":{"default":"double nested less than with underbar"}},"key":"2AA3"},{"category":"Sm","mappings":{"default":{"default":"greater than overlapping less than"}},"key":"2AA4"},{"category":"Sm","mappings":{"default":{"default":"greater than beside less than"}},"key":"2AA5"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve"}},"key":"2AA6"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve"}},"key":"2AA7"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve above slanted equal"}},"key":"2AA8"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve above slanted equal"}},"key":"2AA9"},{"category":"Sm","mappings":{"default":{"default":"smaller than"},"clearspeak":{"default":"is smaller than"}},"key":"2AAA"},{"category":"Sm","mappings":{"default":{"default":"larger than"},"clearspeak":{"default":"is larger than"}},"key":"2AAB"},{"category":"Sm","mappings":{"default":{"default":"smaller than or equals"},"clearspeak":{"default":"is smaller than or equal to"}},"key":"2AAC"},{"category":"Sm","mappings":{"default":{"default":"larger than or equal"},"clearspeak":{"default":"is larger than or equal to"}},"key":"2AAD"},{"category":"Sm","mappings":{"default":{"default":"equals with bumpy above"}},"key":"2AAE"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line equals sign"}},"key":"2AAF"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line equals sign"}},"key":"2AB0"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line not equals"}},"key":"2AB1"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line not equals"}},"key":"2AB2"},{"category":"Sm","mappings":{"default":{"default":"precedes above equals"}},"key":"2AB3"},{"category":"Sm","mappings":{"default":{"default":"succeeds above equals"}},"key":"2AB4"},{"category":"Sm","mappings":{"default":{"default":"precedes above not equals"}},"key":"2AB5"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not equals"}},"key":"2AB6"},{"category":"Sm","mappings":{"default":{"default":"precedes above almost equals"}},"key":"2AB7"},{"category":"Sm","mappings":{"default":{"default":"succeeds above almost equals"}},"key":"2AB8"},{"category":"Sm","mappings":{"default":{"default":"precedes above not almost equals"}},"key":"2AB9"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not almost equals"}},"key":"2ABA"},{"category":"Sm","mappings":{"default":{"default":"double precedes"}},"key":"2ABB"},{"category":"Sm","mappings":{"default":{"default":"double succeeds"}},"key":"2ABC"},{"category":"Sm","mappings":{"default":{"default":"subset with dot"}},"key":"2ABD"},{"category":"Sm","mappings":{"default":{"default":"superset with dot"}},"key":"2ABE"},{"category":"Sm","mappings":{"default":{"default":"subset with plus sign below"}},"key":"2ABF"},{"category":"Sm","mappings":{"default":{"default":"superset with plus sign below"}},"key":"2AC0"},{"category":"Sm","mappings":{"default":{"default":"subset with multiplication sign below"}},"key":"2AC1"},{"category":"Sm","mappings":{"default":{"default":"superset with multiplication sign below"}},"key":"2AC2"},{"category":"Sm","mappings":{"default":{"default":"subset of or equals with dot above"}},"key":"2AC3"},{"category":"Sm","mappings":{"default":{"default":"superset of or equals with dot above"}},"key":"2AC4"},{"category":"Sm","mappings":{"default":{"default":"subset of above equals sign"}},"key":"2AC5"},{"category":"Sm","mappings":{"default":{"default":"superset of above equals sign"}},"key":"2AC6"},{"category":"Sm","mappings":{"default":{"default":"subset of above tilde"}},"key":"2AC7"},{"category":"Sm","mappings":{"default":{"default":"superset of above tilde"}},"key":"2AC8"},{"category":"Sm","mappings":{"default":{"default":"subset of above almost equals"}},"key":"2AC9"},{"category":"Sm","mappings":{"default":{"default":"superset of above almost equals"}},"key":"2ACA"},{"category":"Sm","mappings":{"default":{"default":"subset of above not equals"}},"key":"2ACB"},{"category":"Sm","mappings":{"default":{"default":"superset of above not equals"}},"key":"2ACC"},{"category":"Sm","mappings":{"default":{"default":"square left open box"}},"key":"2ACD"},{"category":"Sm","mappings":{"default":{"default":"square right open box"}},"key":"2ACE"},{"category":"Sm","mappings":{"default":{"default":"closed subset"}},"key":"2ACF"},{"category":"Sm","mappings":{"default":{"default":"closed superset"}},"key":"2AD0"},{"category":"Sm","mappings":{"default":{"default":"closed subset or equals"}},"key":"2AD1"},{"category":"Sm","mappings":{"default":{"default":"closed superset or equals"}},"key":"2AD2"},{"category":"Sm","mappings":{"default":{"default":"subset above superset"}},"key":"2AD3"},{"category":"Sm","mappings":{"default":{"default":"superset above subset"}},"key":"2AD4"},{"category":"Sm","mappings":{"default":{"default":"subset above subset"}},"key":"2AD5"},{"category":"Sm","mappings":{"default":{"default":"superset above superset"}},"key":"2AD6"},{"category":"Sm","mappings":{"default":{"default":"superset beside subset"}},"key":"2AD7"},{"category":"Sm","mappings":{"default":{"default":"superset beside and joined by dash with subset"}},"key":"2AD8"},{"category":"Sm","mappings":{"default":{"default":"element of opening downwards"}},"key":"2AD9"},{"category":"Sm","mappings":{"default":{"default":"pitchfork with tee top"}},"key":"2ADA"},{"category":"Sm","mappings":{"default":{"default":"transversal intersection"}},"key":"2ADB"},{"category":"Sm","mappings":{"default":{"default":"forking"}},"key":"2ADC"},{"category":"Sm","mappings":{"default":{"default":"nonforking"}},"key":"2ADD"},{"category":"Sm","mappings":{"default":{"default":"short left tack"}},"key":"2ADE"},{"category":"Sm","mappings":{"default":{"default":"short down tack"}},"key":"2ADF"},{"category":"Sm","mappings":{"default":{"default":"short up tack"}},"key":"2AE0"},{"category":"Sm","mappings":{"default":{"default":"perpendicular with s"}},"key":"2AE1"},{"category":"Sm","mappings":{"default":{"default":"vertical bar triple right turnstile"}},"key":"2AE2"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar left turnstile"}},"key":"2AE3"},{"category":"Sm","mappings":{"default":{"default":"vertical bar double left turnstile"}},"key":"2AE4"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double left turnstile"}},"key":"2AE5"},{"category":"Sm","mappings":{"default":{"default":"long dash from left member of double vertical"}},"key":"2AE6"},{"category":"Sm","mappings":{"default":{"default":"short down tack with overbar"}},"key":"2AE7"},{"category":"Sm","mappings":{"default":{"default":"short up tack with underbar"}},"key":"2AE8"},{"category":"Sm","mappings":{"default":{"default":"short up tack above short down tack"}},"key":"2AE9"},{"category":"Sm","mappings":{"default":{"default":"double down tack"}},"key":"2AEA"},{"category":"Sm","mappings":{"default":{"default":"double up tack"}},"key":"2AEB"},{"category":"Sm","mappings":{"default":{"default":"double stroke not sign"}},"key":"2AEC"},{"category":"Sm","mappings":{"default":{"default":"reversed double stroke not sign"}},"key":"2AED"},{"category":"Sm","mappings":{"default":{"default":"does not divide with reversed negation slash"}},"key":"2AEE"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle above"}},"key":"2AEF"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle below"}},"key":"2AF0"},{"category":"Sm","mappings":{"default":{"default":"down tack with circle below"}},"key":"2AF1"},{"category":"Sm","mappings":{"default":{"default":"parallel with horizontal stroke"}},"key":"2AF2"},{"category":"Sm","mappings":{"default":{"default":"parallel with tilde"}},"key":"2AF3"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar binary relation"}},"key":"2AF4"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar with horizontal stroke"}},"key":"2AF5"},{"category":"Sm","mappings":{"default":{"default":"triple colon"}},"key":"2AF6"},{"category":"Sm","mappings":{"default":{"default":"triple nested less than"}},"key":"2AF7"},{"category":"Sm","mappings":{"default":{"default":"triple nested greater than"}},"key":"2AF8"},{"category":"Sm","mappings":{"default":{"default":"double line slanted less than or equals"}},"key":"2AF9"},{"category":"Sm","mappings":{"default":{"default":"double line slanted greater than or equals"}},"key":"2AFA"},{"category":"Sm","mappings":{"default":{"default":"triple solidus binary relation"}},"key":"2AFB"},{"category":"Sm","mappings":{"default":{"default":"large triple vertical bar"}},"key":"2AFC"},{"category":"Sm","mappings":{"default":{"default":"double solidus"}},"key":"2AFD"},{"category":"Sm","mappings":{"default":{"default":"white vertical bar"}},"key":"2AFE"},{"category":"Sm","mappings":{"default":{"default":"n ary white vertical bar"},"mathspeak":{"default":"white vertical bar"}},"key":"2AFF"},{"category":"Pd","mappings":{"default":{"default":"wave dash"}},"key":"301C"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical comma"}},"key":"FE10"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical colon"}},"key":"FE13"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical semicolon"}},"key":"FE14"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical exclamation mark"}},"key":"FE15"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical question mark"}},"key":"FE16"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical horizontal ellipsis"}},"key":"FE19"},{"category":"Po","mappings":{"default":{"default":"glyph for vertical two dot leader"}},"key":"FE30"},{"category":"Pd","mappings":{"default":{"default":"glyph for vertical em dash"}},"key":"FE31"},{"category":"Pd","mappings":{"default":{"default":"glyph for vertical en dash"}},"key":"FE32"},{"category":"Pc","mappings":{"default":{"default":"glyph for vertical underline"}},"key":"FE33"},{"category":"Pc","mappings":{"default":{"default":"glyph for vertical wavy underline"}},"key":"FE34"},{"category":"Po","mappings":{"default":{"default":"sesame dot"}},"key":"FE45"},{"category":"Po","mappings":{"default":{"default":"white sesame dot"}},"key":"FE46"},{"category":"Po","mappings":{"default":{"default":"dashed overline"}},"key":"FE49"},{"category":"Po","mappings":{"default":{"default":"dash dot overline"}},"key":"FE4A"},{"category":"Po","mappings":{"default":{"default":"wavy overline"}},"key":"FE4B"},{"category":"Po","mappings":{"default":{"default":"double wavy overline"}},"key":"FE4C"},{"category":"Pc","mappings":{"default":{"default":"dashed underline"}},"key":"FE4D"},{"category":"Pc","mappings":{"default":{"default":"dash dot underline"}},"key":"FE4E"},{"category":"Pc","mappings":{"default":{"default":"wavy underline"}},"key":"FE4F"},{"category":"Po","mappings":{"default":{"default":"small comma"}},"key":"FE50"},{"category":"Po","mappings":{"default":{"default":"small period"}},"key":"FE52"},{"category":"Po","mappings":{"default":{"default":"small semicolon"}},"key":"FE54"},{"category":"Po","mappings":{"default":{"default":"small colon"}},"key":"FE55"},{"category":"Po","mappings":{"default":{"default":"small question mark"}},"key":"FE56"},{"category":"Po","mappings":{"default":{"default":"small exclamation mark"}},"key":"FE57"},{"category":"Pd","mappings":{"default":{"default":"small em dash"}},"key":"FE58"},{"category":"Po","mappings":{"default":{"default":"small number sign"}},"key":"FE5F"},{"category":"Po","mappings":{"default":{"default":"small ampersand"}},"key":"FE60"},{"category":"Po","mappings":{"default":{"default":"small asterisk"}},"key":"FE61"},{"category":"Sm","mappings":{"default":{"default":"small plus sign"}},"key":"FE62"},{"category":"Pd","mappings":{"default":{"default":"small hyphen minus"}},"key":"FE63"},{"category":"Sm","mappings":{"default":{"default":"small less than sign"}},"key":"FE64"},{"category":"Sm","mappings":{"default":{"default":"small greater than sign"}},"key":"FE65"},{"category":"Sm","mappings":{"default":{"default":"small equals"}},"key":"FE66"},{"category":"Po","mappings":{"default":{"default":"small backslash","alternative":"small reverse solidus"}},"key":"FE68"},{"category":"Sc","mappings":{"default":{"default":"small dollar sign"}},"key":"FE69"},{"category":"Po","mappings":{"default":{"default":"small percent sign"}},"key":"FE6A"},{"category":"Po","mappings":{"default":{"default":"small commercial at"}},"key":"FE6B"},{"category":"Po","mappings":{"default":{"default":"exclamation mark"}},"key":"FF01"},{"category":"Po","mappings":{"default":{"default":"quotation mark"}},"key":"FF02"},{"category":"Po","mappings":{"default":{"default":"number sign"}},"key":"FF03"},{"category":"Sc","mappings":{"default":{"default":"dollar sign"}},"key":"FF04"},{"category":"Po","mappings":{"default":{"default":"percent sign"}},"key":"FF05"},{"category":"Po","mappings":{"default":{"default":"ampersand"}},"key":"FF06"},{"category":"Po","mappings":{"default":{"default":"apostrophe"}},"key":"FF07"},{"category":"Po","mappings":{"default":{"default":"asterisk"}},"key":"FF0A"},{"category":"Sm","mappings":{"default":{"default":"plus sign"}},"key":"FF0B"},{"category":"Po","mappings":{"default":{"default":"comma"}},"key":"FF0C"},{"category":"Pd","mappings":{"default":{"default":"hyphen minus"}},"key":"FF0D"},{"category":"Po","mappings":{"default":{"default":"period"}},"key":"FF0E"},{"category":"Po","mappings":{"default":{"default":"slash","alternative":"solidus"}},"key":"FF0F"},{"category":"Po","mappings":{"default":{"default":"colon"}},"key":"FF1A"},{"category":"Po","mappings":{"default":{"default":"semicolon"}},"key":"FF1B"},{"category":"Sm","mappings":{"default":{"default":"less than"}},"key":"FF1C"},{"category":"Sm","mappings":{"default":{"default":"equals"}},"key":"FF1D"},{"category":"Sm","mappings":{"default":{"default":"greater than"}},"key":"FF1E"},{"category":"Po","mappings":{"default":{"default":"question mark"}},"key":"FF1F"},{"category":"Po","mappings":{"default":{"default":"commercial at"}},"key":"FF20"},{"category":"Po","mappings":{"default":{"default":"backslash","alternative":"reverse solidus"}},"key":"FF3C"},{"category":"Sk","mappings":{"default":{"default":"caret","alternative":"circumflex"}},"key":"FF3E"},{"category":"Pc","mappings":{"default":{"default":"bar","alternative":"underline"}},"key":"FF3F"},{"category":"Sk","mappings":{"default":{"default":"grave"}},"key":"FF40"},{"category":"Sm","mappings":{"default":{"default":"vertical bar"}},"key":"FF5C"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"FF5E"},{"category":"Sc","mappings":{"default":{"default":"cent sign"}},"key":"FFE0"},{"category":"Sc","mappings":{"default":{"default":"pound sign"}},"key":"FFE1"},{"category":"Sm","mappings":{"default":{"default":"not sign"}},"key":"FFE2"},{"category":"Sk","mappings":{"default":{"default":"macron"},"mathspeak":{"default":"bar"}},"key":"FFE3"},{"category":"So","mappings":{"default":{"default":"broken vertical bar"}},"key":"FFE4"},{"category":"Sc","mappings":{"default":{"default":"yen sign"}},"key":"FFE5"},{"category":"Sc","mappings":{"default":{"default":"won sign"}},"key":"FFE6"},{"category":"So","mappings":{"default":{"default":"halfwidth forms light vertical"}},"key":"FFE8"},{"category":"So","mappings":{"default":{"default":"halfwidth black square"}},"key":"FFED"},{"category":"So","mappings":{"default":{"default":"halfwidth white circle"}},"key":"FFEE"}]
 ,
-"en/math_non_characters.js": 
-[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small h over two time greek letter pi","alternative":"italic small h over two pi","short":"italic h over two pi"},"physics":{"default":"planck constant over two pi","alternative":"planck constant over 2 pi"}},"key":"210F"},{"category":"So","mappings":{"default":{"default":"l b bar symbol","short":"l b bar"}},"key":"2114"},{"category":"So","mappings":{"default":{"default":"numero sign","alternative":"numero","short":"numero"}},"key":"2116"},{"category":"So","mappings":{"default":{"default":"sound recording copyright"}},"key":"2117"},{"category":"So","mappings":{"default":{"default":"prescription take"}},"key":"211E"},{"category":"So","mappings":{"default":{"default":"response"}},"key":"211F"},{"category":"So","mappings":{"default":{"default":"service mark"}},"key":"2120"},{"category":"So","mappings":{"default":{"default":"telephone sign","alternative":"t e l symbol"}},"key":"2121"},{"category":"So","mappings":{"default":{"default":"trade mark sign","alternative":"trademark","short":"trade mark"}},"key":"2122"},{"category":"So","mappings":{"default":{"default":"versicle"}},"key":"2123"},{"category":"So","mappings":{"default":{"default":"ounce sign","alternative":"ounce","short":"ounce"}},"key":"2125"},{"category":"Lu","mappings":{"default":{"default":"ohm sign","alternative":"ohm","short":"ohm"}},"key":"2126"},{"category":"So","mappings":{"default":{"default":"inverted ohm sign","alternative":"mho","short":"inverted ohm"}},"key":"2127"},{"category":"Lu","mappings":{"default":{"default":"kelvin sign","alternative":"degrees kelvin","short":"kelvin"}},"key":"212A"},{"category":"Lu","mappings":{"default":{"default":"angstrom sign","alternative":"angstrom unit","short":"angstrom"}},"key":"212B"},{"category":"So","mappings":{"default":{"default":"estimated symbol","short":"estimated"}},"key":"212E"},{"category":"Lu","mappings":{"default":{"default":"turned capital f","alternative":"turned f","short":"turned cap f"},"mathspeak":{"default":"turned upper F"}},"key":"2132"},{"category":"Ll","mappings":{"default":{"default":"information source"}},"key":"2139"},{"category":"So","mappings":{"default":{"default":"rotated capital q","short":"rotated cap q"},"mathspeak":{"default":"rotated upper Q"}},"key":"213A"},{"category":"So","mappings":{"default":{"default":"facsimile sign"}},"key":"213B"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif capital g","short":"turned sans serif cap g"},"mathspeak":{"default":"turned sans serif upper G"}},"key":"2141"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif capital l","short":"turned sans serif cap l"},"mathspeak":{"default":"turned sans serif upper L"}},"key":"2142"},{"category":"Sm","mappings":{"default":{"default":"reversed sans serif capital l","short":"reversed sans serif cap l"},"mathspeak":{"default":"reversed sans serif upper L"}},"key":"2143"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif capital y","short":"turned sans serif cap y"},"mathspeak":{"default":"turned sans serif upper Y"}},"key":"2144"}]
+"en/symbols/math_whitespace.js": 
+[{"locale":"en"},{"category":"Zs","mappings":{"default":{"default":"space"}},"key":"0020"},{"category":"Zs","mappings":{"default":{"default":"no break space","alternative":"non breaking space"}},"key":"00A0"},{"category":"Cf","mappings":{"default":{"default":"soft hyphen"}},"key":"00AD"},{"category":"Zs","mappings":{"default":{"default":"en quad"}},"key":"2000"},{"category":"Zs","mappings":{"default":{"default":"em quad"}},"key":"2001"},{"category":"Zs","mappings":{"default":{"default":"en space"}},"key":"2002"},{"category":"Zs","mappings":{"default":{"default":"em space"}},"key":"2003"},{"category":"Zs","mappings":{"default":{"default":"three per em space"}},"key":"2004"},{"category":"Zs","mappings":{"default":{"default":"four per em space"}},"key":"2005"},{"category":"Zs","mappings":{"default":{"default":"six per em space"}},"key":"2006"},{"category":"Zs","mappings":{"default":{"default":"figure space"}},"key":"2007"},{"category":"Zs","mappings":{"default":{"default":"punctuation space"}},"key":"2008"},{"category":"Zs","mappings":{"default":{"default":"thin space"}},"key":"2009"},{"category":"Zs","mappings":{"default":{"default":"hair space"}},"key":"200A"},{"category":"Cf","mappings":{"default":{"default":"zero width space"}},"key":"200B"},{"category":"Cf","mappings":{"default":{"default":"zero width non joiner"}},"key":"200C"},{"category":"Cf","mappings":{"default":{"default":"zero width joiner"}},"key":"200D"},{"category":"Cf","mappings":{"default":{"default":"left to right mark"}},"key":"200E"},{"category":"Cf","mappings":{"default":{"default":"right to left mark"}},"key":"200F"},{"category":"Zl","mappings":{"default":{"default":"line separator"}},"key":"2028"},{"category":"Zp","mappings":{"default":{"default":"paragraph separator"}},"key":"2029"},{"category":"Cf","mappings":{"default":{"default":"left to right embedding"}},"key":"202A"},{"category":"Cf","mappings":{"default":{"default":"right to left embedding"}},"key":"202B"},{"category":"Cf","mappings":{"default":{"default":"pop directional formatting"}},"key":"202C"},{"category":"Cf","mappings":{"default":{"default":"left to right override"}},"key":"202D"},{"category":"Cf","mappings":{"default":{"default":"right to left override"}},"key":"202E"},{"category":"Zs","mappings":{"default":{"default":"narrow no break space"}},"key":"202F"},{"category":"Zs","mappings":{"default":{"default":"medium mathematical space"}},"key":"205F"},{"category":"Cf","mappings":{"default":{"default":"word joiner"}},"key":"2060"},{"category":"Cf","mappings":{"default":{"default":"of","alternative":"function application"}},"key":"2061"},{"category":"Cf","mappings":{"default":{"default":"times","alternative":"invisible times"}},"key":"2062"},{"category":"Cf","mappings":{"default":{"default":"separator","alternative":"invisible separator"}},"key":"2063"},{"category":"Cf","mappings":{"default":{"default":"plus","alternative":"invisible plus"}},"key":"2064"},{"category":"Cf","mappings":{"default":{"default":"inhibit symmetric swapping"}},"key":"206A"},{"category":"Cf","mappings":{"default":{"default":"activate symmetric swapping"}},"key":"206B"},{"category":"Cf","mappings":{"default":{"default":"national digit shapes"}},"key":"206E"},{"category":"Cf","mappings":{"default":{"default":"nominal digit shapes"}},"key":"206F"},{"category":"Cf","mappings":{"default":{"default":"zero width no break space","alternative":"byte order mark"}},"key":"FEFF"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation anchor"}},"key":"FFF9"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation separator"}},"key":"FFFA"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation terminator"}},"key":"FFFB"}]
 ,
-"en/math_symbols.js": 
-[{"locale":"en"},{"category":"Po","mappings":{"default":{"default":"factorial operator","alternative":"exclamation mark","short":"factorial"},"mathspeak":{"default":"exclamation-mark"}},"key":"0021"},{"category":"Po","mappings":{"default":{"default":"quotation mark"},"mathspeak":{"default":"quotation-mark"}},"key":"0022"},{"category":"Po","mappings":{"default":{"default":"number sign","alternative":"hash","short":"number"},"mathspeak":{"default":"number-sign","brief":"num-sign","sbrief":"num-sign"}},"key":"0023"},{"category":"Sc","mappings":{"default":{"default":"dollar sign","short":"dollar"},"mathspeak":{"default":"dollar-sign"}},"key":"0024"},{"category":"Po","mappings":{"default":{"default":"percent sign","short":"percent"},"mathspeak":{"default":"percent-sign"}},"key":"0025"},{"category":"Po","mappings":{"default":{"default":"ampersand"}},"key":"0026"},{"category":"Po","mappings":{"default":{"default":"apostrophe","alternative":"apostrophe quote"},"mathspeak":{"default":"prime"}},"key":"0027"},{"category":"Po","mappings":{"default":{"default":"asterisk"}},"key":"002A"},{"category":"Sm","mappings":{"default":{"default":"plus sign","short":"plus"}},"key":"002B"},{"category":"Po","mappings":{"default":{"default":"comma"}},"key":"002C"},{"category":"Pd","mappings":{"default":{"default":"hyphen minus","short":"minus"},"mathspeak":{"default":"hyphen"}},"key":"002D"},{"category":"Po","mappings":{"default":{"default":"full stop","alternative":"period"},"mathspeak":{"default":"period"}},"key":"002E"},{"category":"Po","mappings":{"default":{"default":"solidus","alternative":"slash"},"mathspeak":{"default":"slash"},"emacspeak":{"default":"slash"}},"key":"002F"},{"category":"Po","mappings":{"default":{"default":"colon"}},"key":"003A"},{"category":"Po","mappings":{"default":{"default":"semicolon"}},"key":"003B"},{"category":"Sm","mappings":{"default":{"default":"less than sign","short":"less than"},"mathspeak":{"default":"less-than"}},"key":"003C"},{"category":"Sm","mappings":{"default":{"default":"equals sign","short":"equals"}},"key":"003D"},{"category":"Sm","mappings":{"default":{"default":"greater than sign","short":"greater than"},"mathspeak":{"default":"greater-than"}},"key":"003E"},{"category":"Po","mappings":{"default":{"default":"question mark"},"mathspeak":{"default":"question-mark"}},"key":"003F"},{"category":"Po","mappings":{"default":{"default":"commercial at","short":"at"},"mathspeak":{"default":"commercial-at"}},"key":"0040"},{"category":"Po","mappings":{"default":{"default":"reverse solidus","alternative":"backslash"},"mathspeak":{"default":"reverse-solidus"}},"key":"005C"},{"category":"Sk","mappings":{"default":{"default":"circumflex accent","alternative":"spacing circumflex","short":"hat"},"mathspeak":{"default":"caret"}},"key":"005E"},{"category":"Pc","mappings":{"default":{"default":"low line","alternative":"spacing underscore"},"mathspeak":{"default":"bar"}},"key":"005F"},{"category":"Sk","mappings":{"default":{"default":"grave accent","alternative":"spacing grave","short":"grave"},"mathspeak":{"default":"grave"}},"key":"0060"},{"category":"Sm","mappings":{"default":{"default":"vertical line","alternative":"vertical bar"},"mathspeak":{"default":"vertical-bar"}},"key":"007C"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"007E"},{"category":"Po","mappings":{"default":{"default":"inverted exclamation mark"},"mathspeak":{"default":"inverted-exclamation-mark"}},"key":"00A1"},{"category":"Sc","mappings":{"default":{"default":"cent sign","short":"cent"},"mathspeak":{"default":"cent-sign"}},"key":"00A2"},{"category":"Sc","mappings":{"default":{"default":"pound sign","short":"pound"},"mathspeak":{"default":"pound-sign"}},"key":"00A3"},{"category":"Sc","mappings":{"default":{"default":"currency sign","short":"currency"},"mathspeak":{"default":"currency-sign"}},"key":"00A4"},{"category":"Sc","mappings":{"default":{"default":"yen sign","short":"yen"},"mathspeak":{"default":"yen-sign"}},"key":"00A5"},{"category":"So","mappings":{"default":{"default":"broken bar","alternative":"broken vertical bar"},"mathspeak":{"default":"broken-vertical-bar"}},"key":"00A6"},{"category":"Po","mappings":{"default":{"default":"section sign","short":"section"},"mathspeak":{"default":"section-sign"}},"key":"00A7"},{"category":"Sk","mappings":{"default":{"default":"diaeresis","alternative":"spacing diaeresis","short":"double dot"},"mathspeak":{"default":"two-dots"}},"key":"00A8"},{"category":"So","mappings":{"default":{"default":"copyright sign","short":"copyright"},"mathspeak":{"default":"copyright-sign"}},"key":"00A9"},{"category":"Lo","mappings":{"default":{"default":"feminine ordinal indicator"},"mathspeak":{"default":"feminine-ordinal-indicator"}},"key":"00AA"},{"category":"Pi","mappings":{"default":{"default":"left pointing double angle quotation mark","alternative":"left pointing guillemet"},"mathspeak":{"default":"left-pointing-guillemet"}},"key":"00AB"},{"category":"Sm","mappings":{"default":{"default":"not sign","short":"not"},"mathspeak":{"default":"not-sign"}},"key":"00AC"},{"category":"So","mappings":{"default":{"default":"registered sign","alternative":"registered trade mark sign","short":"registered"},"mathspeak":{"default":"registered-trade-mark-sign"}},"key":"00AE"},{"category":"Sk","mappings":{"default":{"default":"macron","alternative":"spacing macron"},"mathspeak":{"default":"bar"}},"key":"00AF"},{"category":"So","mappings":{"default":{"default":"degree sign","short":"degree"},"mathspeak":{"default":"degree"}},"key":"00B0"},{"category":"Sm","mappings":{"default":{"default":"plus minus sign","alternative":"plus or minus sign","short":"plus minus"},"mathspeak":{"default":"plus-or-minus"}},"key":"00B1"},{"category":"Sk","mappings":{"default":{"default":"acute accent","alternative":"spacing acute","short":"acute"},"mathspeak":{"default":"acute"}},"key":"00B4"},{"category":"Ll","mappings":{"default":{"default":"micro sign","short":"micro"},"mathspeak":{"default":"micro-sign"}},"key":"00B5"},{"category":"Po","mappings":{"default":{"default":"pilcrow sign","alternative":"paragraph sign","short":"pilcrow"},"mathspeak":{"default":"paragraph-sign"}},"key":"00B6"},{"category":"Po","mappings":{"default":{"default":"middle dot"},"mathspeak":{"default":"dot"}},"key":"00B7"},{"category":"Sk","mappings":{"default":{"default":"cedilla","alternative":"spacing cedilla"},"mathspeak":{"default":"cedilla"}},"key":"00B8"},{"category":"Lo","mappings":{"default":{"default":"masculine ordinal indicator"},"mathspeak":{"default":"masculine-ordinal-indicator"}},"key":"00BA"},{"category":"Pf","mappings":{"default":{"default":"right pointing double angle quotation mark","alternative":"right pointing guillemet"},"mathspeak":{"default":"right-pointing-guillemet"}},"key":"00BB"},{"category":"Po","mappings":{"default":{"default":"inverted question mark"},"mathspeak":{"default":"inverted-question-mark"}},"key":"00BF"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign","short":"multiplication"},"mathspeak":{"default":"times"}},"key":"00D7"},{"category":"Sm","mappings":{"default":{"default":"division sign","short":"division"},"mathspeak":{"default":"division-sign"}},"key":"00F7"},{"category":"Sk","mappings":{"default":{"default":"breve","alternative":"spacing breve"},"mathspeak":{"default":"breve"}},"key":"02D8"},{"category":"Sk","mappings":{"default":{"default":"dot above","alternative":"spacing dot above"},"mathspeak":{"default":"dot"}},"key":"02D9"},{"category":"Sk","mappings":{"default":{"default":"ring above","alternative":"spacing ring above"},"mathspeak":{"default":"ring-above"}},"key":"02DA"},{"category":"Sk","mappings":{"default":{"default":"ogonek","alternative":"spacing ogonek"},"mathspeak":{"default":"ogonek"}},"key":"02DB"},{"category":"Sk","mappings":{"default":{"default":"small tilde","alternative":"spacing tilde"},"mathspeak":{"default":"tilde"}},"key":"02DC"},{"category":"Sk","mappings":{"default":{"default":"double acute accent","alternative":"spacing double acute"},"mathspeak":{"default":"double-acute"}},"key":"02DD"},{"category":"Pd","mappings":{"default":{"default":"hyphen"}},"key":"2010"},{"category":"Pd","mappings":{"default":{"default":"non breaking hyphen"},"mathspeak":{"default":"non-breaking-hyphen"}},"key":"2011"},{"category":"Pd","mappings":{"default":{"default":"figure dash"},"mathspeak":{"default":"figure-dash"}},"key":"2012"},{"category":"Pd","mappings":{"default":{"default":"en dash"},"mathspeak":{"default":"en-dash"}},"key":"2013"},{"category":"Pd","mappings":{"default":{"default":"em dash"},"mathspeak":{"default":"em-dash"}},"key":"2014"},{"category":"Pd","mappings":{"default":{"default":"horizontal bar","alternative":"quotation dash"},"mathspeak":{"default":"quotation-dash"}},"key":"2015"},{"category":"Po","mappings":{"default":{"default":"double vertical line","alternative":"double vertical bar"},"mathspeak":{"default":"double-vertical-bar"}},"key":"2016"},{"category":"Po","mappings":{"default":{"default":"double low line","alternative":"spacing double underscore"},"mathspeak":{"default":"double-underscore"}},"key":"2017"},{"category":"Pi","mappings":{"default":{"default":"left single quotation mark","alternative":"single turned comma quotation mark"},"mathspeak":{"default":"single-turned-comma-quotation-mark"}},"key":"2018"},{"category":"Pf","mappings":{"default":{"default":"right single quotation mark","alternative":"single comma quotation mark"},"mathspeak":{"default":"single-comma-quotation-mark"}},"key":"2019"},{"category":"Ps","mappings":{"default":{"default":"single low 9 quotation mark","alternative":"low single comma quotation mark"},"mathspeak":{"default":"low-single-comma-quotation-mark"}},"key":"201A"},{"category":"Pi","mappings":{"default":{"default":"single high reversed 9 quotation mark","alternative":"single reversed comma quotation mark"},"mathspeak":{"default":"single-reversed-comma-quotation-mark"}},"key":"201B"},{"category":"Pi","mappings":{"default":{"default":"left double quotation mark","alternative":"double turned comma quotation mark"},"mathspeak":{"default":"double-turned-comma-quotation-mark"}},"key":"201C"},{"category":"Pf","mappings":{"default":{"default":"right double quotation mark","alternative":"double comma quotation mark"},"mathspeak":{"default":"double-comma-quotation-mark"}},"key":"201D"},{"category":"Ps","mappings":{"default":{"default":"double low 9 quotation mark","alternative":"low double comma quotation mark"},"mathspeak":{"default":"low-double-comma-quotation-mark"}},"key":"201E"},{"category":"Pi","mappings":{"default":{"default":"double high reversed 9 quotation mark","alternative":"double reversed comma quotation mark"},"mathspeak":{"default":"double-reversed-comma-quotation-mark"}},"key":"201F"},{"category":"Po","mappings":{"default":{"default":"dagger"}},"key":"2020"},{"category":"Po","mappings":{"default":{"default":"double dagger"},"mathspeak":{"default":"double-dagger"}},"key":"2021"},{"category":"Po","mappings":{"default":{"default":"bullet"}},"key":"2022"},{"category":"Po","mappings":{"default":{"default":"triangular bullet"},"mathspeak":{"default":"triangular-bullet"}},"key":"2023"},{"category":"Po","mappings":{"default":{"default":"one dot leader"},"mathspeak":{"default":"one-dot-leader"}},"key":"2024"},{"category":"Po","mappings":{"default":{"default":"two dot leader"},"mathspeak":{"default":"two-dot-leader"}},"key":"2025"},{"category":"Po","mappings":{"default":{"default":"horizontal ellipsis"},"mathspeak":{"default":"ellipsis"}},"key":"2026"},{"category":"Po","mappings":{"default":{"default":"hyphenation point"},"mathspeak":{"default":"hyphenation-point"}},"key":"2027"},{"category":"Po","mappings":{"default":{"default":"per mille sign","short":"per mille"},"mathspeak":{"default":"per-mille"}},"key":"2030"},{"category":"Po","mappings":{"default":{"default":"per ten thousand sign","short":"per ten thousand"},"mathspeak":{"default":"per-ten-thousand"}},"key":"2031"},{"category":"Po","mappings":{"default":{"default":"prime"}},"key":"2032"},{"category":"Po","mappings":{"default":{"default":"double prime"},"mathspeak":{"default":"double-prime"}},"key":"2033"},{"category":"Po","mappings":{"default":{"default":"triple prime"},"mathspeak":{"default":"triple-prime"}},"key":"2034"},{"category":"Po","mappings":{"default":{"default":"reversed prime"},"mathspeak":{"default":"reversed-prime"}},"key":"2035"},{"category":"Po","mappings":{"default":{"default":"reversed double prime"},"mathspeak":{"default":"reversed-double-prime"}},"key":"2036"},{"category":"Po","mappings":{"default":{"default":"reversed triple prime"},"mathspeak":{"default":"reversed-triple-prime"}},"key":"2037"},{"category":"Po","mappings":{"default":{"default":"caret"}},"key":"2038"},{"category":"Pi","mappings":{"default":{"default":"single left pointing angle quotation mark","alternative":"left pointing single guillemet"},"mathspeak":{"default":"left-pointing-single-guillemet"}},"key":"2039"},{"category":"Pf","mappings":{"default":{"default":"single right pointing angle quotation mark","alternative":"right pointing single guillemet"},"mathspeak":{"default":"right-pointing-single-guillemet"}},"key":"203A"},{"category":"Po","mappings":{"default":{"default":"reference mark"},"mathspeak":{"default":"reference-mark"}},"key":"203B"},{"category":"Po","mappings":{"default":{"default":"double exclamation mark"},"mathspeak":{"default":"double-exclamation-mark"}},"key":"203C"},{"category":"Po","mappings":{"default":{"default":"interrobang"}},"key":"203D"},{"category":"Po","mappings":{"default":{"default":"overline","alternative":"spacing overscore"},"mathspeak":{"default":"bar"}},"key":"203E"},{"category":"Pc","mappings":{"default":{"default":"undertie"}},"key":"203F"},{"category":"Pc","mappings":{"default":{"default":"character tie"},"mathspeak":{"default":"character-tie"}},"key":"2040"},{"category":"Po","mappings":{"default":{"default":"caret insertion point"},"mathspeak":{"default":"caret-insertion-point"}},"key":"2041"},{"category":"Po","mappings":{"default":{"default":"asterism"}},"key":"2042"},{"category":"Po","mappings":{"default":{"default":"hyphen bullet"},"mathspeak":{"default":"hyphen-bullet"}},"key":"2043"},{"category":"Sm","mappings":{"default":{"default":"fraction slash"},"mathspeak":{"default":"fraction-slash"}},"key":"2044"},{"category":"Po","mappings":{"default":{"default":"double question mark"},"mathspeak":{"default":"double-question-mark"}},"key":"2047"},{"category":"Po","mappings":{"default":{"default":"question exclamation mark"},"mathspeak":{"default":"question-exclamation-mark"}},"key":"2048"},{"category":"Po","mappings":{"default":{"default":"exclamation question mark"},"mathspeak":{"default":"exclamation-question-mark"}},"key":"2049"},{"category":"Po","mappings":{"default":{"default":"reversed pilcrow sign","short":"reversed pilcrow"},"mathspeak":{"default":"reversed-pilcrow"}},"key":"204B"},{"category":"Po","mappings":{"default":{"default":"black leftwards bullet"},"mathspeak":{"default":"black-leftwards-bullet"}},"key":"204C"},{"category":"Po","mappings":{"default":{"default":"black rightwards bullet"},"mathspeak":{"default":"black-rightwards-bullet"}},"key":"204D"},{"category":"Po","mappings":{"default":{"default":"low asterisk"},"mathspeak":{"default":"low-asterisk"}},"key":"204E"},{"category":"Po","mappings":{"default":{"default":"reversed semicolon"},"mathspeak":{"default":"reversed-semicolon"}},"key":"204F"},{"category":"Po","mappings":{"default":{"default":"close up"},"mathspeak":{"default":"close-up"}},"key":"2050"},{"category":"Po","mappings":{"default":{"default":"two asterisks aligned vertically"},"mathspeak":{"default":"two-asterisks-aligned-vertically"}},"key":"2051"},{"category":"Sm","mappings":{"default":{"default":"commercial minus sign","short":"commercial minus"},"mathspeak":{"default":"commercial-minus"}},"key":"2052"},{"category":"Po","mappings":{"default":{"default":"swung dash"},"mathspeak":{"default":"swung-dash"}},"key":"2053"},{"category":"Pc","mappings":{"default":{"default":"inverted undertie"},"mathspeak":{"default":"inverted-undertie"}},"key":"2054"},{"category":"Po","mappings":{"default":{"default":"flower punctuation mark"},"mathspeak":{"default":"flower-punctuation-mark"}},"key":"2055"},{"category":"Po","mappings":{"default":{"default":"three dot punctuation"},"mathspeak":{"default":"three-dot-punctuation"}},"key":"2056"},{"category":"Po","mappings":{"default":{"default":"quadruple prime"},"mathspeak":{"default":"quadruple-prime"}},"key":"2057"},{"category":"Po","mappings":{"default":{"default":"four dot punctuation"},"mathspeak":{"default":"four-dot-punctuation"}},"key":"2058"},{"category":"Po","mappings":{"default":{"default":"five dot punctuation"},"mathspeak":{"default":"five-dot-punctuation"}},"key":"2059"},{"category":"Po","mappings":{"default":{"default":"two dot punctuation"},"mathspeak":{"default":"two-dot-punctuation"}},"key":"205A"},{"category":"Po","mappings":{"default":{"default":"four dot mark"},"mathspeak":{"default":"four-dot-mark"}},"key":"205B"},{"category":"Po","mappings":{"default":{"default":"dotted cross"},"mathspeak":{"default":"dotted-cross"}},"key":"205C"},{"category":"Po","mappings":{"default":{"default":"tricolon"}},"key":"205D"},{"category":"Po","mappings":{"default":{"default":"vertical four dots"},"mathspeak":{"default":"vertical-four-dots"}},"key":"205E"},{"category":"Sm","mappings":{"default":{"default":"superscript plus sign","short":"superscript plus"},"mathspeak":{"default":"superscript-plus"}},"key":"207A"},{"category":"Sm","mappings":{"default":{"default":"superscript minus","alternative":"superscript hyphen minus"},"mathspeak":{"default":"superscript-hyphen-minus"}},"key":"207B"},{"category":"Sm","mappings":{"default":{"default":"superscript equals sign","short":"superscript equals"},"mathspeak":{"default":"superscript-equals"}},"key":"207C"},{"category":"Ps","mappings":{"default":{"default":"superscript left parenthesis","alternative":"superscript opening parenthesis"},"mathspeak":{"default":"superscript-opening-parenthesis"}},"key":"207D"},{"category":"Pe","mappings":{"default":{"default":"superscript right parenthesis","alternative":"superscript closing parenthesis"},"mathspeak":{"default":"superscript-closing-parenthesis"}},"key":"207E"},{"category":"Sm","mappings":{"default":{"default":"subscript plus sign","short":"subscript plus"},"mathspeak":{"default":"subscript-plus"}},"key":"208A"},{"category":"Sm","mappings":{"default":{"default":"subscript minus","alternative":"subscript hyphen minus"},"mathspeak":{"default":"subscript-hyphen-minus"}},"key":"208B"},{"category":"Sm","mappings":{"default":{"default":"subscript equals sign","short":"subscript equals"},"mathspeak":{"default":"subscript-equals"}},"key":"208C"},{"category":"Ps","mappings":{"default":{"default":"subscript left parenthesis","alternative":"subscript opening parenthesis"},"mathspeak":{"default":"subscript-opening-parenthesis"}},"key":"208D"},{"category":"Pe","mappings":{"default":{"default":"subscript right parenthesis","alternative":"subscript closing parenthesis"},"mathspeak":{"default":"subscript-closing-parenthesis"}},"key":"208E"},{"category":"So","mappings":{"default":{"default":"property line"},"mathspeak":{"default":"property-line"}},"key":"214A"},{"category":"Sm","mappings":{"default":{"default":"turned ampersand"},"mathspeak":{"default":"turned-ampersand"}},"key":"214B"},{"category":"So","mappings":{"default":{"default":"per sign","short":"per"},"mathspeak":{"default":"per-sign"}},"key":"214C"},{"category":"So","mappings":{"default":{"default":"aktieselskab"}},"key":"214D"},{"category":"Ll","mappings":{"default":{"default":"turned small f"},"mathspeak":{"default":"turned-small-f"}},"key":"214E"},{"category":"Sm","mappings":{"default":{"default":"for all"},"mathspeak":{"default":"for-all"}},"key":"2200"},{"category":"Sm","mappings":{"default":{"default":"complement"}},"key":"2201"},{"category":"Sm","mappings":{"default":{"default":"partial differential"},"mathspeak":{"default":"partial-differential"}},"key":"2202"},{"category":"Sm","mappings":{"default":{"default":"there exists"},"mathspeak":{"default":"there-exists"}},"key":"2203"},{"category":"Sm","mappings":{"default":{"default":"there does not exist"},"mathspeak":{"default":"there-does-not-exist"}},"key":"2204"},{"category":"Sm","mappings":{"default":{"default":"empty set"},"mathspeak":{"default":"empty-set"}},"key":"2205"},{"category":"Sm","mappings":{"default":{"default":"increment"}},"key":"2206"},{"category":"Sm","mappings":{"default":{"default":"nabla"}},"key":"2207"},{"category":"Sm","mappings":{"default":{"default":"element of"},"mathspeak":{"default":"element-of"}},"key":"2208"},{"category":"Sm","mappings":{"default":{"default":"not an element of"},"mathspeak":{"default":"not-an-element-of"}},"key":"2209"},{"category":"Sm","mappings":{"default":{"default":"small element of"},"mathspeak":{"default":"small-element-of"}},"key":"220A"},{"category":"Sm","mappings":{"default":{"default":"contains as member"},"mathspeak":{"default":"contains-as-member"}},"key":"220B"},{"category":"Sm","mappings":{"default":{"default":"does not contain as member"},"mathspeak":{"default":"does-not-contain-as-member"}},"key":"220C"},{"category":"Sm","mappings":{"default":{"default":"small contains as member"},"mathspeak":{"default":"small-contains-as-member"}},"key":"220D"},{"category":"Sm","mappings":{"default":{"default":"end of proof"},"mathspeak":{"default":"end-of-proof"}},"key":"220E"},{"category":"Sm","mappings":{"default":{"default":"n ary product"},"mathspeak":{"default":"product"}},"key":"220F"},{"category":"Sm","mappings":{"default":{"default":"n ary coproduct"},"mathspeak":{"default":"coproduct"}},"key":"2210"},{"category":"Sm","mappings":{"default":{"default":"n ary summation"},"mathspeak":{"default":"sigma-summation"}},"key":"2211"},{"category":"Sm","mappings":{"default":{"default":"minus sign","short":"minus"}},"key":"2212"},{"category":"Sm","mappings":{"default":{"default":"minus or plus sign","short":"minus or plus"},"mathspeak":{"default":"minus-or-plus"}},"key":"2213"},{"category":"Sm","mappings":{"default":{"default":"dot plus"},"mathspeak":{"default":"dot-plus"}},"key":"2214"},{"category":"Sm","mappings":{"default":{"default":"division slash"},"mathspeak":{"default":"division-slash"}},"key":"2215"},{"category":"Sm","mappings":{"default":{"default":"set minus"},"mathspeak":{"default":"set-minus"}},"key":"2216"},{"category":"Sm","mappings":{"default":{"default":"asterisk operator"},"mathspeak":{"default":"asterisk"}},"key":"2217"},{"category":"Sm","mappings":{"default":{"default":"ring operator"},"mathspeak":{"default":"ring"}},"key":"2218"},{"category":"Sm","mappings":{"default":{"default":"bullet operator"},"mathspeak":{"default":"bullet"}},"key":"2219"},{"category":"Sm","mappings":{"default":{"default":"square root"},"mathspeak":{"default":"square-root"}},"key":"221A"},{"category":"Sm","mappings":{"default":{"default":"cube root"},"mathspeak":{"default":"cube-root"}},"key":"221B"},{"category":"Sm","mappings":{"default":{"default":"fourth root"},"mathspeak":{"default":"fourth-root"}},"key":"221C"},{"category":"Sm","mappings":{"default":{"default":"proportional to"},"mathspeak":{"default":"proportional-to"}},"key":"221D"},{"category":"Sm","mappings":{"default":{"default":"infinity"}},"key":"221E"},{"category":"Sm","mappings":{"default":{"default":"right angle"},"mathspeak":{"default":"right-angle"}},"key":"221F"},{"category":"Sm","mappings":{"default":{"default":"angle"}},"key":"2220"},{"category":"Sm","mappings":{"default":{"default":"measured angle"},"mathspeak":{"default":"measured-angle"}},"key":"2221"},{"category":"Sm","mappings":{"default":{"default":"spherical angle"},"mathspeak":{"default":"spherical-angle"}},"key":"2222"},{"category":"Sm","mappings":{"default":{"default":"divides","short":"bar"}},"key":"2223"},{"category":"Sm","mappings":{"default":{"default":"does not divide"},"mathspeak":{"default":"does-not-divide"}},"key":"2224"},{"category":"Sm","mappings":{"default":{"default":"parallel to"},"mathspeak":{"default":"parallel-to"}},"key":"2225"},{"category":"Sm","mappings":{"default":{"default":"not parallel to"},"mathspeak":{"default":"not-parallel-to"}},"key":"2226"},{"category":"Sm","mappings":{"default":{"default":"logical and"},"mathspeak":{"default":"logical-and"}},"key":"2227"},{"category":"Sm","mappings":{"default":{"default":"logical or"},"mathspeak":{"default":"logical-or"}},"key":"2228"},{"category":"Sm","mappings":{"default":{"default":"intersection"}},"key":"2229"},{"category":"Sm","mappings":{"default":{"default":"union"}},"key":"222A"},{"category":"Sm","mappings":{"default":{"default":"integral"}},"key":"222B"},{"category":"Sm","mappings":{"default":{"default":"double integral"},"mathspeak":{"default":"double-integral"}},"key":"222C"},{"category":"Sm","mappings":{"default":{"default":"triple integral"},"mathspeak":{"default":"triple-integral"}},"key":"222D"},{"category":"Sm","mappings":{"default":{"default":"contour integral"},"mathspeak":{"default":"contour-integral"}},"key":"222E"},{"category":"Sm","mappings":{"default":{"default":"surface integral"},"mathspeak":{"default":"surface-integral"}},"key":"222F"},{"category":"Sm","mappings":{"default":{"default":"volume integral"},"mathspeak":{"default":"volume-integral"}},"key":"2230"},{"category":"Sm","mappings":{"default":{"default":"clockwise integral"},"mathspeak":{"default":"clockwise-integral"}},"key":"2231"},{"category":"Sm","mappings":{"default":{"default":"clockwise contour integral"},"mathspeak":{"default":"clockwise-contour-integral"}},"key":"2232"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise contour integral"},"mathspeak":{"default":"anticlockwise-contour-integral"}},"key":"2233"},{"category":"Sm","mappings":{"default":{"default":"therefore"}},"key":"2234"},{"category":"Sm","mappings":{"default":{"default":"because"}},"key":"2235"},{"category":"Sm","mappings":{"default":{"default":"ratio"}},"key":"2236"},{"category":"Sm","mappings":{"default":{"default":"proportion"}},"key":"2237"},{"category":"Sm","mappings":{"default":{"default":"dot minus"},"mathspeak":{"default":"dot-minus"}},"key":"2238"},{"category":"Sm","mappings":{"default":{"default":"excess"}},"key":"2239"},{"category":"Sm","mappings":{"default":{"default":"geometric proportion"},"mathspeak":{"default":"geometric-proportion"}},"key":"223A"},{"category":"Sm","mappings":{"default":{"default":"homothetic"}},"key":"223B"},{"category":"Sm","mappings":{"default":{"default":"tilde operator"},"mathspeak":{"default":"tilde"}},"key":"223C"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde"},"mathspeak":{"default":"reversed-tilde"}},"key":"223D"},{"category":"Sm","mappings":{"default":{"default":"inverted lazy s"},"mathspeak":{"default":"inverted-lazy-s"}},"key":"223E"},{"category":"Sm","mappings":{"default":{"default":"sine wave"},"mathspeak":{"default":"sine-wave"}},"key":"223F"},{"category":"Sm","mappings":{"default":{"default":"wreath product"},"mathspeak":{"default":"wreath-product"}},"key":"2240"},{"category":"Sm","mappings":{"default":{"default":"not tilde"},"mathspeak":{"default":"not-tilde"}},"key":"2241"},{"category":"Sm","mappings":{"default":{"default":"minus tilde"},"mathspeak":{"default":"minus-tilde"}},"key":"2242"},{"category":"Sm","mappings":{"default":{"default":"asymptotically equals"},"mathspeak":{"default":"asymptotically-equals"}},"key":"2243"},{"category":"Sm","mappings":{"default":{"default":"not asymptotically equals"},"mathspeak":{"default":"not-asymptotically-equals"}},"key":"2244"},{"category":"Sm","mappings":{"default":{"default":"approximately equals"},"mathspeak":{"default":"approximately-equals"}},"key":"2245"},{"category":"Sm","mappings":{"default":{"default":"approximately but not actually equals"},"mathspeak":{"default":"approximately-but-not-actually-equals"}},"key":"2246"},{"category":"Sm","mappings":{"default":{"default":"neither approximately nor actually equals"},"mathspeak":{"default":"neither-approximately-nor-actually-equals"}},"key":"2247"},{"category":"Sm","mappings":{"default":{"default":"almost equals"},"mathspeak":{"default":"almost-equals"}},"key":"2248"},{"category":"Sm","mappings":{"default":{"default":"not almost equals"},"mathspeak":{"default":"not-almost-equals"}},"key":"2249"},{"category":"Sm","mappings":{"default":{"default":"almost equal or equals"},"mathspeak":{"default":"almost-equal-or-equal-to"}},"key":"224A"},{"category":"Sm","mappings":{"default":{"default":"triple tilde"},"mathspeak":{"default":"triple-tilde"}},"key":"224B"},{"category":"Sm","mappings":{"default":{"default":"all equals"},"mathspeak":{"default":"all-equals"}},"key":"224C"},{"category":"Sm","mappings":{"default":{"default":"equivalent to"},"mathspeak":{"default":"equivalent-to"}},"key":"224D"},{"category":"Sm","mappings":{"default":{"default":"geometrically equivalent to"},"mathspeak":{"default":"geometrically-equivalent-to"}},"key":"224E"},{"category":"Sm","mappings":{"default":{"default":"difference between"},"mathspeak":{"default":"difference-between"}},"key":"224F"},{"category":"Sm","mappings":{"default":{"default":"approaches the limit"},"mathspeak":{"default":"approaches-the-limit"}},"key":"2250"},{"category":"Sm","mappings":{"default":{"default":"geometrically equals"},"mathspeak":{"default":"geometrically-equals"}},"key":"2251"},{"category":"Sm","mappings":{"default":{"default":"approximately equals or the image of"},"mathspeak":{"default":"approximately-equals-or-the-image-of"}},"key":"2252"},{"category":"Sm","mappings":{"default":{"default":"image of or approximately equals"},"mathspeak":{"default":"image-of-or-approximately-equals"}},"key":"2253"},{"category":"Sm","mappings":{"default":{"default":"colon equals","alternative":"colon equal"},"mathspeak":{"default":"colon-equal"}},"key":"2254"},{"category":"Sm","mappings":{"default":{"default":"equals colon","alternative":"equal colon"},"mathspeak":{"default":"equal-colon"}},"key":"2255"},{"category":"Sm","mappings":{"default":{"default":"ring in equals"},"mathspeak":{"default":"ring-in-equals"}},"key":"2256"},{"category":"Sm","mappings":{"default":{"default":"ring equals"},"mathspeak":{"default":"ring-equals"}},"key":"2257"},{"category":"Sm","mappings":{"default":{"default":"corresponds to"},"mathspeak":{"default":"corresponds-to"}},"key":"2258"},{"category":"Sm","mappings":{"default":{"default":"estimates"}},"key":"2259"},{"category":"Sm","mappings":{"default":{"default":"equiangular to"},"mathspeak":{"default":"equiangular-to"}},"key":"225A"},{"category":"Sm","mappings":{"default":{"default":"star equals"},"mathspeak":{"default":"star-equals"}},"key":"225B"},{"category":"Sm","mappings":{"default":{"default":"delta equals"},"mathspeak":{"default":"delta-equals"}},"key":"225C"},{"category":"Sm","mappings":{"default":{"default":"equals by definition"},"mathspeak":{"default":"equals-by-definition"}},"key":"225D"},{"category":"Sm","mappings":{"default":{"default":"measured by"},"mathspeak":{"default":"measured-by"}},"key":"225E"},{"category":"Sm","mappings":{"default":{"default":"questioned equals"},"mathspeak":{"default":"questioned-equals"}},"key":"225F"},{"category":"Sm","mappings":{"default":{"default":"not equals"},"mathspeak":{"default":"not-equals"}},"key":"2260"},{"category":"Sm","mappings":{"default":{"default":"identical to"},"mathspeak":{"default":"identical-to"}},"key":"2261"},{"category":"Sm","mappings":{"default":{"default":"not identical to"},"mathspeak":{"default":"not-identical-to"}},"key":"2262"},{"category":"Sm","mappings":{"default":{"default":"strictly equivalent to"},"mathspeak":{"default":"strictly-equivalent-to"}},"key":"2263"},{"category":"Sm","mappings":{"default":{"default":"less than or equals","alternative":"less than or equals"},"mathspeak":{"default":"less-than-or-equal-to"}},"key":"2264"},{"category":"Sm","mappings":{"default":{"default":"greater than or equals","alternative":"greater than or equals"},"mathspeak":{"default":"greater-than-or-equal-to"}},"key":"2265"},{"category":"Sm","mappings":{"default":{"default":"less than over equals","alternative":"less than over equals"},"mathspeak":{"default":"less-than-over-equals"}},"key":"2266"},{"category":"Sm","mappings":{"default":{"default":"greater than over equals","alternative":"greater than over equals"},"mathspeak":{"default":"greater-than-over-equals"}},"key":"2267"},{"category":"Sm","mappings":{"default":{"default":"less than but not equals","alternative":"less than but not equals"},"mathspeak":{"default":"less-than-but-not-equals"}},"key":"2268"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equals","alternative":"greater than but not equals"},"mathspeak":{"default":"greater-than-but-not-equals"}},"key":"2269"},{"category":"Sm","mappings":{"default":{"default":"much less than","alternative":"much less than"},"mathspeak":{"default":"much-less-than"}},"key":"226A"},{"category":"Sm","mappings":{"default":{"default":"much greater than","alternative":"much greater than"},"mathspeak":{"default":"much-greater-than"}},"key":"226B"},{"category":"Sm","mappings":{"default":{"default":"between"}},"key":"226C"},{"category":"Sm","mappings":{"default":{"default":"not equivalent to"},"mathspeak":{"default":"not-equivalent-to"}},"key":"226D"},{"category":"Sm","mappings":{"default":{"default":"not less than","alternative":"not less than"},"mathspeak":{"default":"not-less-than"}},"key":"226E"},{"category":"Sm","mappings":{"default":{"default":"not greater than","alternative":"not greater than"},"mathspeak":{"default":"not-greater-than"}},"key":"226F"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equals","alternative":"neither less than nor equals"},"mathspeak":{"default":"neither-less-than-nor-equal-to"}},"key":"2270"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equals","alternative":"neither greater than nor equals"},"mathspeak":{"default":"neither-greater-than-nor-equal-to"}},"key":"2271"},{"category":"Sm","mappings":{"default":{"default":"less than or equivalent to","alternative":"less than or equivalent to"},"mathspeak":{"default":"less-than-or-equivalent-to"}},"key":"2272"},{"category":"Sm","mappings":{"default":{"default":"greater than or equivalent to","alternative":"greater than or equivalent to"},"mathspeak":{"default":"greater-than-or-equivalent-to"}},"key":"2273"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equivalent to","alternative":"neither less than nor equivalent to"},"mathspeak":{"default":"neither-less-than-nor-equivalent-to"}},"key":"2274"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equivalent to","alternative":"neither greater than nor equivalent to"},"mathspeak":{"default":"neither-greater-than-nor-equivalent-to"}},"key":"2275"},{"category":"Sm","mappings":{"default":{"default":"less than or greater than","alternative":"less than or greater than"},"mathspeak":{"default":"less-than-or-greater-than"}},"key":"2276"},{"category":"Sm","mappings":{"default":{"default":"greater than or less than","alternative":"greater than or less than"},"mathspeak":{"default":"greater-than-or-less-than"}},"key":"2277"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor greater than","alternative":"neither less than nor greater than"},"mathspeak":{"default":"neither-less-than-nor-greater-than"}},"key":"2278"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor less than","alternative":"neither greater than nor less than"},"mathspeak":{"default":"neither-greater-than-nor-less-than"}},"key":"2279"},{"category":"Sm","mappings":{"default":{"default":"precedes"}},"key":"227A"},{"category":"Sm","mappings":{"default":{"default":"succeeds"}},"key":"227B"},{"category":"Sm","mappings":{"default":{"default":"precedes or equals"},"mathspeak":{"default":"precedes-or-equal-to"}},"key":"227C"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equals"},"mathspeak":{"default":"succeeds-or-equal-to"}},"key":"227D"},{"category":"Sm","mappings":{"default":{"default":"precedes or equivalent to"},"mathspeak":{"default":"precedes-or-equivalent-to"}},"key":"227E"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equivalent to"},"mathspeak":{"default":"succeeds-or-equivalent-to"}},"key":"227F"},{"category":"Sm","mappings":{"default":{"default":"does not precede"},"mathspeak":{"default":"does-not-precede"}},"key":"2280"},{"category":"Sm","mappings":{"default":{"default":"does not succeed"},"mathspeak":{"default":"does-not-succeed"}},"key":"2281"},{"category":"Sm","mappings":{"default":{"default":"subset of"},"mathspeak":{"default":"subset-of"}},"key":"2282"},{"category":"Sm","mappings":{"default":{"default":"superset of"},"mathspeak":{"default":"superset-of"}},"key":"2283"},{"category":"Sm","mappings":{"default":{"default":"not a subset of"},"mathspeak":{"default":"not-a-subset-of"}},"key":"2284"},{"category":"Sm","mappings":{"default":{"default":"not a superset of"},"mathspeak":{"default":"not-a-superset-of"}},"key":"2285"},{"category":"Sm","mappings":{"default":{"default":"subset of or equals"},"mathspeak":{"default":"subset-of-or-equal-to"}},"key":"2286"},{"category":"Sm","mappings":{"default":{"default":"superset of or equals"},"mathspeak":{"default":"superset-of-or-equal-to"}},"key":"2287"},{"category":"Sm","mappings":{"default":{"default":"neither a subset of nor equals"},"mathspeak":{"default":"neither-a-subset-of-nor-equal-to"}},"key":"2288"},{"category":"Sm","mappings":{"default":{"default":"neither a superset of nor equals"},"mathspeak":{"default":"neither-a-superset-of-nor-equal-to"}},"key":"2289"},{"category":"Sm","mappings":{"default":{"default":"subset of with not equals","alternative":"subset of or not equals","short":"subset of or not equals"},"mathspeak":{"default":"subset-of-or-not-equals"}},"key":"228A"},{"category":"Sm","mappings":{"default":{"default":"superset of with not equals","alternative":"superset of or not equals","short":"superset of or not equals"},"mathspeak":{"default":"superset-of-or-not-equals"}},"key":"228B"},{"category":"Sm","mappings":{"default":{"default":"multiset"}},"key":"228C"},{"category":"Sm","mappings":{"default":{"default":"multiset multiplication"},"mathspeak":{"default":"multiset-multiplication"}},"key":"228D"},{"category":"Sm","mappings":{"default":{"default":"multiset union"},"mathspeak":{"default":"multiset-union"}},"key":"228E"},{"category":"Sm","mappings":{"default":{"default":"square image of"},"mathspeak":{"default":"square-image-of"}},"key":"228F"},{"category":"Sm","mappings":{"default":{"default":"square original of"},"mathspeak":{"default":"square-original-of"}},"key":"2290"},{"category":"Sm","mappings":{"default":{"default":"square image of or equals"},"mathspeak":{"default":"square-image-of-or-equal-to"}},"key":"2291"},{"category":"Sm","mappings":{"default":{"default":"square original of or equals"},"mathspeak":{"default":"square-original-of-or-equal-to"}},"key":"2292"},{"category":"Sm","mappings":{"default":{"default":"square cap"},"mathspeak":{"default":"square-cap"}},"key":"2293"},{"category":"Sm","mappings":{"default":{"default":"square cup"},"mathspeak":{"default":"square-cup"}},"key":"2294"},{"category":"Sm","mappings":{"default":{"default":"circled plus"},"mathspeak":{"default":"circled-plus"}},"key":"2295"},{"category":"Sm","mappings":{"default":{"default":"circled minus"},"mathspeak":{"default":"circled-minus"}},"key":"2296"},{"category":"Sm","mappings":{"default":{"default":"circled times"},"mathspeak":{"default":"circled-times"}},"key":"2297"},{"category":"Sm","mappings":{"default":{"default":"circled division slash"},"mathspeak":{"default":"circled-division-slash"}},"key":"2298"},{"category":"Sm","mappings":{"default":{"default":"circled dot operator"},"mathspeak":{"default":"circled-dot"}},"key":"2299"},{"category":"Sm","mappings":{"default":{"default":"circled ring operator"},"mathspeak":{"default":"circled-ring"}},"key":"229A"},{"category":"Sm","mappings":{"default":{"default":"circled asterisk operator"},"mathspeak":{"default":"circled-asterisk"}},"key":"229B"},{"category":"Sm","mappings":{"default":{"default":"circled equals"},"mathspeak":{"default":"circled-equals"}},"key":"229C"},{"category":"Sm","mappings":{"default":{"default":"circled dash"},"mathspeak":{"default":"circled-dash"}},"key":"229D"},{"category":"Sm","mappings":{"default":{"default":"squared plus"},"mathspeak":{"default":"squared-plus"}},"key":"229E"},{"category":"Sm","mappings":{"default":{"default":"squared minus"},"mathspeak":{"default":"squared-minus"}},"key":"229F"},{"category":"Sm","mappings":{"default":{"default":"squared times"},"mathspeak":{"default":"squared-times"}},"key":"22A0"},{"category":"Sm","mappings":{"default":{"default":"squared dot operator"},"mathspeak":{"default":"squared-dot"}},"key":"22A1"},{"category":"Sm","mappings":{"default":{"default":"right tack"},"mathspeak":{"default":"right-tack"}},"key":"22A2"},{"category":"Sm","mappings":{"default":{"default":"left tack"},"mathspeak":{"default":"left-tack"}},"key":"22A3"},{"category":"Sm","mappings":{"default":{"default":"down tack"},"mathspeak":{"default":"down-tack"}},"key":"22A4"},{"category":"Sm","mappings":{"default":{"default":"up tack"},"mathspeak":{"default":"up-tack"}},"key":"22A5"},{"category":"Sm","mappings":{"default":{"default":"assertion"}},"key":"22A6"},{"category":"Sm","mappings":{"default":{"default":"models"}},"key":"22A7"},{"category":"Sm","mappings":{"default":{"default":"true"}},"key":"22A8"},{"category":"Sm","mappings":{"default":{"default":"forces"}},"key":"22A9"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar right turnstile"},"mathspeak":{"default":"triple-vertical-bar-right-turnstile"}},"key":"22AA"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double right turnstile"},"mathspeak":{"default":"double-vertical-bar-double-right-turnstile"}},"key":"22AB"},{"category":"Sm","mappings":{"default":{"default":"does not prove"},"mathspeak":{"default":"does-not-prove"}},"key":"22AC"},{"category":"Sm","mappings":{"default":{"default":"not true"},"mathspeak":{"default":"not-true"}},"key":"22AD"},{"category":"Sm","mappings":{"default":{"default":"does not force"},"mathspeak":{"default":"does-not-force"}},"key":"22AE"},{"category":"Sm","mappings":{"default":{"default":"negated double vertical bar double right turnstile"},"mathspeak":{"default":"negated-double-vertical-bar-double-right-turnstile"}},"key":"22AF"},{"category":"Sm","mappings":{"default":{"default":"precedes under relation"},"mathspeak":{"default":"precedes-under-relation"}},"key":"22B0"},{"category":"Sm","mappings":{"default":{"default":"succeeds under relation"},"mathspeak":{"default":"succeeds-under-relation"}},"key":"22B1"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of"},"mathspeak":{"default":"normal-subgroup-of"}},"key":"22B2"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup"},"mathspeak":{"default":"contains-as-normal-subgroup"}},"key":"22B3"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of or equals"},"mathspeak":{"default":"normal-subgroup-of-or-equal-to"}},"key":"22B4"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup or equals"},"mathspeak":{"default":"contains-as-normal-subgroup-or-equal-to"}},"key":"22B5"},{"category":"Sm","mappings":{"default":{"default":"original of"},"mathspeak":{"default":"original-of"}},"key":"22B6"},{"category":"Sm","mappings":{"default":{"default":"image of"},"mathspeak":{"default":"image-of"}},"key":"22B7"},{"category":"Sm","mappings":{"default":{"default":"multimap"}},"key":"22B8"},{"category":"Sm","mappings":{"default":{"default":"hermitian conjugate matrix"},"mathspeak":{"default":"hermitian-conjugate-matrix"}},"key":"22B9"},{"category":"Sm","mappings":{"default":{"default":"intercalate"}},"key":"22BA"},{"category":"Sm","mappings":{"default":{"default":"xor"}},"key":"22BB"},{"category":"Sm","mappings":{"default":{"default":"nand"}},"key":"22BC"},{"category":"Sm","mappings":{"default":{"default":"nor"}},"key":"22BD"},{"category":"Sm","mappings":{"default":{"default":"right triangle"},"mathspeak":{"default":"right-triangle"}},"key":"22BF"},{"category":"Sm","mappings":{"default":{"default":"n ary logical and"},"mathspeak":{"default":"logical-and"}},"key":"22C0"},{"category":"Sm","mappings":{"default":{"default":"n ary logical or"},"mathspeak":{"default":"logical-or"}},"key":"22C1"},{"category":"Sm","mappings":{"default":{"default":"n ary intersection"},"mathspeak":{"default":"intersection"}},"key":"22C2"},{"category":"Sm","mappings":{"default":{"default":"n ary union"},"mathspeak":{"default":"union"}},"key":"22C3"},{"category":"Sm","mappings":{"default":{"default":"diamond operator"},"mathspeak":{"default":"diamond"}},"key":"22C4"},{"category":"Sm","mappings":{"default":{"default":"dot operator"},"mathspeak":{"default":"dot"}},"key":"22C5"},{"category":"Sm","mappings":{"default":{"default":"star operator"},"mathspeak":{"default":"star"}},"key":"22C6"},{"category":"Sm","mappings":{"default":{"default":"division times"},"mathspeak":{"default":"division-times"}},"key":"22C7"},{"category":"Sm","mappings":{"default":{"default":"bowtie"}},"key":"22C8"},{"category":"Sm","mappings":{"default":{"default":"left normal factor semidirect product"},"mathspeak":{"default":"left-normal-factor-semidirect-product"}},"key":"22C9"},{"category":"Sm","mappings":{"default":{"default":"right normal factor semidirect product"},"mathspeak":{"default":"right-normal-factor-semidirect-product"}},"key":"22CA"},{"category":"Sm","mappings":{"default":{"default":"left semidirect product"},"mathspeak":{"default":"left-semidirect-product"}},"key":"22CB"},{"category":"Sm","mappings":{"default":{"default":"right semidirect product"},"mathspeak":{"default":"right-semidirect-product"}},"key":"22CC"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde equals"},"mathspeak":{"default":"reversed-tilde-equals"}},"key":"22CD"},{"category":"Sm","mappings":{"default":{"default":"curly logical or"},"mathspeak":{"default":"curly-logical-or"}},"key":"22CE"},{"category":"Sm","mappings":{"default":{"default":"curly logical and"},"mathspeak":{"default":"curly-logical-and"}},"key":"22CF"},{"category":"Sm","mappings":{"default":{"default":"double subset"},"mathspeak":{"default":"double-subset"}},"key":"22D0"},{"category":"Sm","mappings":{"default":{"default":"double superset"},"mathspeak":{"default":"double-superset"}},"key":"22D1"},{"category":"Sm","mappings":{"default":{"default":"double intersection"},"mathspeak":{"default":"double-intersection"}},"key":"22D2"},{"category":"Sm","mappings":{"default":{"default":"double union"},"mathspeak":{"default":"double-union"}},"key":"22D3"},{"category":"Sm","mappings":{"default":{"default":"pitchfork"}},"key":"22D4"},{"category":"Sm","mappings":{"default":{"default":"equal and parallel to"},"mathspeak":{"default":"equal-and-parallel-to"}},"key":"22D5"},{"category":"Sm","mappings":{"default":{"default":"less than with dot","alternative":"less than with dot","short":"less than dot"},"mathspeak":{"default":"less-than-dot"}},"key":"22D6"},{"category":"Sm","mappings":{"default":{"default":"greater than with dot","alternative":"greater than with dot","short":"greater than dot"},"mathspeak":{"default":"greater-than-dot"}},"key":"22D7"},{"category":"Sm","mappings":{"default":{"default":"very much less than","alternative":"very much less than"},"mathspeak":{"default":"very-much-less-than"}},"key":"22D8"},{"category":"Sm","mappings":{"default":{"default":"very much greater than","alternative":"very much greater than"},"mathspeak":{"default":"very-much-greater-than"}},"key":"22D9"},{"category":"Sm","mappings":{"default":{"default":"less than equals or greater than","alternative":"less than equals or greater than"},"mathspeak":{"default":"less-than-equals-or-greater-than"}},"key":"22DA"},{"category":"Sm","mappings":{"default":{"default":"greater than equals or less than","alternative":"greater than equals or less than"},"mathspeak":{"default":"greater-than-equals-or-less-than"}},"key":"22DB"},{"category":"Sm","mappings":{"default":{"default":"equals or less than","alternative":"equals or less than"},"mathspeak":{"default":"equals-or-less-than"}},"key":"22DC"},{"category":"Sm","mappings":{"default":{"default":"equals or greater than","alternative":"equals or greater than"},"mathspeak":{"default":"equals-or-greater-than"}},"key":"22DD"},{"category":"Sm","mappings":{"default":{"default":"equals or precedes"},"mathspeak":{"default":"equals-or-precedes"}},"key":"22DE"},{"category":"Sm","mappings":{"default":{"default":"equals or succeeds"},"mathspeak":{"default":"equals-or-succeeds"}},"key":"22DF"},{"category":"Sm","mappings":{"default":{"default":"does not precede or equal"},"mathspeak":{"default":"does-not-precede-or-equal"}},"key":"22E0"},{"category":"Sm","mappings":{"default":{"default":"does not succeed or equal"},"mathspeak":{"default":"does-not-succeed-or-equal"}},"key":"22E1"},{"category":"Sm","mappings":{"default":{"default":"not square image of or equals"},"mathspeak":{"default":"not-square-image-of-or-equal-to"}},"key":"22E2"},{"category":"Sm","mappings":{"default":{"default":"not square original of or equals"},"mathspeak":{"default":"not-square-original-of-or-equal-to"}},"key":"22E3"},{"category":"Sm","mappings":{"default":{"default":"square image of or not equals"},"mathspeak":{"default":"square-image-of-or-not-equals"}},"key":"22E4"},{"category":"Sm","mappings":{"default":{"default":"square original of or not equals"},"mathspeak":{"default":"square-original-of-or-not-equals"}},"key":"22E5"},{"category":"Sm","mappings":{"default":{"default":"less than but not equivalent to","alternative":"less than but not equivalent to"},"mathspeak":{"default":"less-than-but-not-equivalent-to"}},"key":"22E6"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equivalent to","alternative":"greater than but not equivalent to"},"mathspeak":{"default":"greater-than-but-not-equivalent-to"}},"key":"22E7"},{"category":"Sm","mappings":{"default":{"default":"precedes but not equivalent to"},"mathspeak":{"default":"precedes-but-not-equivalent-to"}},"key":"22E8"},{"category":"Sm","mappings":{"default":{"default":"succeeds but not equivalent to"},"mathspeak":{"default":"succeeds-but-not-equivalent-to"}},"key":"22E9"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of"},"mathspeak":{"default":"not-normal-subgroup-of"}},"key":"22EA"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup"},"mathspeak":{"default":"does-not-contain-as-normal-subgroup"}},"key":"22EB"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of or equals"},"mathspeak":{"default":"not-normal-subgroup-of-or-equal-to"}},"key":"22EC"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup or equal"},"mathspeak":{"default":"does-not-contain-as-normal-subgroup-or-equal"}},"key":"22ED"},{"category":"Sm","mappings":{"default":{"default":"vertical ellipsis"},"mathspeak":{"default":"vertical-ellipsis"}},"key":"22EE"},{"category":"Sm","mappings":{"default":{"default":"midline horizontal ellipsis"},"mathspeak":{"default":"midline-horizontal-ellipsis"}},"key":"22EF"},{"category":"Sm","mappings":{"default":{"default":"up right diagonal ellipsis"},"mathspeak":{"default":"up-right-diagonal-ellipsis"}},"key":"22F0"},{"category":"Sm","mappings":{"default":{"default":"down right diagonal ellipsis"},"mathspeak":{"default":"down-right-diagonal-ellipsis"}},"key":"22F1"},{"category":"Sm","mappings":{"default":{"default":"element of with long horizontal stroke"},"mathspeak":{"default":"element-of-with-long-horizontal-stroke"}},"key":"22F2"},{"category":"Sm","mappings":{"default":{"default":"element of with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"element-of-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22F3"},{"category":"Sm","mappings":{"default":{"default":"small element of with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"small-element-of-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22F4"},{"category":"Sm","mappings":{"default":{"default":"element of with dot above"},"mathspeak":{"default":"element-of-with-dot-above"}},"key":"22F5"},{"category":"Sm","mappings":{"default":{"default":"element of with overbar"},"mathspeak":{"default":"element-of-with-overbar"}},"key":"22F6"},{"category":"Sm","mappings":{"default":{"default":"small element of with overbar"},"mathspeak":{"default":"small-element-of-with-overbar"}},"key":"22F7"},{"category":"Sm","mappings":{"default":{"default":"element of with underbar"},"mathspeak":{"default":"element-of-with-underbar"}},"key":"22F8"},{"category":"Sm","mappings":{"default":{"default":"element of with two horizontal strokes"},"mathspeak":{"default":"element-of-with-two-horizontal-strokes"}},"key":"22F9"},{"category":"Sm","mappings":{"default":{"default":"contains with long horizontal stroke"},"mathspeak":{"default":"contains-with-long-horizontal-stroke"}},"key":"22FA"},{"category":"Sm","mappings":{"default":{"default":"contains with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"contains-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22FB"},{"category":"Sm","mappings":{"default":{"default":"small contains with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"small-contains-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22FC"},{"category":"Sm","mappings":{"default":{"default":"contains with overbar"},"mathspeak":{"default":"contains-with-overbar"}},"key":"22FD"},{"category":"Sm","mappings":{"default":{"default":"small contains with overbar"},"mathspeak":{"default":"small-contains-with-overbar"}},"key":"22FE"},{"category":"Sm","mappings":{"default":{"default":"z notation bag membership"},"mathspeak":{"default":"z-notation-bag-membership"}},"key":"22FF"},{"category":"So","mappings":{"default":{"default":"diameter sign","short":"diameter"},"mathspeak":{"default":"diameter-sign"}},"key":"2300"},{"category":"So","mappings":{"default":{"default":"house"}},"key":"2302"},{"category":"So","mappings":{"default":{"default":"projective"}},"key":"2305"},{"category":"So","mappings":{"default":{"default":"perspective"}},"key":"2306"},{"category":"So","mappings":{"default":{"default":"wavy line"},"mathspeak":{"default":"wavy-line"}},"key":"2307"},{"category":"So","mappings":{"default":{"default":"reversed not sign","short":"reversed not"},"mathspeak":{"default":"reversed-not"}},"key":"2310"},{"category":"So","mappings":{"default":{"default":"square lozenge"},"mathspeak":{"default":"square-lozenge"}},"key":"2311"},{"category":"So","mappings":{"default":{"default":"arc"}},"key":"2312"},{"category":"So","mappings":{"default":{"default":"segment"}},"key":"2313"},{"category":"So","mappings":{"default":{"default":"sector"}},"key":"2314"},{"category":"So","mappings":{"default":{"default":"heavy plus sign","alternative":"heavy plus","short":"bold plus"},"mathspeak":{"default":"bold-plus"}},"key":"2795"},{"category":"So","mappings":{"default":{"default":"heavy minus sign","alternative":"heavy minus","short":"bold minus"},"mathspeak":{"default":"bold-minus"}},"key":"2796"},{"category":"So","mappings":{"default":{"default":"heavy division sign","alternative":"heavy division","short":"bold division"},"mathspeak":{"default":"bold-division"}},"key":"2797"},{"category":"So","mappings":{"default":{"default":"curly loop"},"mathspeak":{"default":"curly-loop"}},"key":"27B0"},{"category":"So","mappings":{"default":{"default":"double curly loop"},"mathspeak":{"default":"double-curly-loop"}},"key":"27BF"},{"category":"Sm","mappings":{"default":{"default":"white triangle containing small white triangle"},"mathspeak":{"default":"white-triangle-containing-small-white-triangle"}},"key":"27C1"},{"category":"Sm","mappings":{"default":{"default":"perpendicular"}},"key":"27C2"},{"category":"Sm","mappings":{"default":{"default":"open subset"},"mathspeak":{"default":"open-subset"}},"key":"27C3"},{"category":"Sm","mappings":{"default":{"default":"open superset"},"mathspeak":{"default":"open-superset"}},"key":"27C4"},{"category":"Sm","mappings":{"default":{"default":"or with dot inside"},"mathspeak":{"default":"or-with-dot-inside"}},"key":"27C7"},{"category":"Sm","mappings":{"default":{"default":"reverse solidus preceding subset"},"mathspeak":{"default":"reverse-solidus-preceding-subset"}},"key":"27C8"},{"category":"Sm","mappings":{"default":{"default":"superset preceding solidus"},"mathspeak":{"default":"superset-preceding-solidus"}},"key":"27C9"},{"category":"Sm","mappings":{"default":{"default":"vertical bar with horizontal stroke"},"mathspeak":{"default":"vertical-bar-with-horizontal-stroke"}},"key":"27CA"},{"category":"Sm","mappings":{"default":{"default":"mathematical rising diagonal"},"mathspeak":{"default":"mathematical-rising-diagonal"}},"key":"27CB"},{"category":"Sm","mappings":{"default":{"default":"long division"},"mathspeak":{"default":"long-division"}},"key":"27CC"},{"category":"Sm","mappings":{"default":{"default":"mathematical falling diagonal"},"mathspeak":{"default":"mathematical-falling-diagonal"}},"key":"27CD"},{"category":"Sm","mappings":{"default":{"default":"squared logical and"},"mathspeak":{"default":"squared-logical-and"}},"key":"27CE"},{"category":"Sm","mappings":{"default":{"default":"squared logical or"},"mathspeak":{"default":"squared-logical-or"}},"key":"27CF"},{"category":"Sm","mappings":{"default":{"default":"white diamond with centered dot"},"mathspeak":{"default":"white-diamond-with-centered-dot"}},"key":"27D0"},{"category":"Sm","mappings":{"default":{"default":"and with dot"},"mathspeak":{"default":"and-with-dot"}},"key":"27D1"},{"category":"Sm","mappings":{"default":{"default":"element of opening upwards"},"mathspeak":{"default":"element-of-opening-upwards"}},"key":"27D2"},{"category":"Sm","mappings":{"default":{"default":"lower right corner with dot"},"mathspeak":{"default":"lower-right-corner-with-dot"}},"key":"27D3"},{"category":"Sm","mappings":{"default":{"default":"upper left corner with dot"},"mathspeak":{"default":"upper-left-corner-with-dot"}},"key":"27D4"},{"category":"Sm","mappings":{"default":{"default":"left outer join"},"mathspeak":{"default":"left-outer-join"}},"key":"27D5"},{"category":"Sm","mappings":{"default":{"default":"right outer join"},"mathspeak":{"default":"right-outer-join"}},"key":"27D6"},{"category":"Sm","mappings":{"default":{"default":"full outer join"},"mathspeak":{"default":"full-outer-join"}},"key":"27D7"},{"category":"Sm","mappings":{"default":{"default":"large up tack"},"mathspeak":{"default":"large-up-tack"}},"key":"27D8"},{"category":"Sm","mappings":{"default":{"default":"large down tack"},"mathspeak":{"default":"large-down-tack"}},"key":"27D9"},{"category":"Sm","mappings":{"default":{"default":"left and right double turnstile"},"mathspeak":{"default":"left-and-right-double-turnstile"}},"key":"27DA"},{"category":"Sm","mappings":{"default":{"default":"left and right tack"},"mathspeak":{"default":"left-and-right-tack"}},"key":"27DB"},{"category":"Sm","mappings":{"default":{"default":"left multimap"},"mathspeak":{"default":"left-multimap"}},"key":"27DC"},{"category":"Sm","mappings":{"default":{"default":"long right tack"},"mathspeak":{"default":"long-right-tack"}},"key":"27DD"},{"category":"Sm","mappings":{"default":{"default":"long left tack"},"mathspeak":{"default":"long-left-tack"}},"key":"27DE"},{"category":"Sm","mappings":{"default":{"default":"up tack with circle above"},"mathspeak":{"default":"up-tack-with-circle-above"}},"key":"27DF"},{"category":"Sm","mappings":{"default":{"default":"lozenge divided by horizontal rule"},"mathspeak":{"default":"lozenge-divided-by-horizontal-rule"}},"key":"27E0"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond"},"mathspeak":{"default":"white-concave-sided-diamond"}},"key":"27E1"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with leftwards tick"},"mathspeak":{"default":"white-concave-sided-diamond-with-leftwards-tick"}},"key":"27E2"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with rightwards tick"},"mathspeak":{"default":"white-concave-sided-diamond-with-rightwards-tick"}},"key":"27E3"},{"category":"Sm","mappings":{"default":{"default":"white square with leftwards tick"},"mathspeak":{"default":"white-square-with-leftwards-tick"}},"key":"27E4"},{"category":"Sm","mappings":{"default":{"default":"white square with rightwards tick"},"mathspeak":{"default":"white-square-with-rightwards-tick"}},"key":"27E5"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing falling diagonal"},"mathspeak":{"default":"rising-diagonal-crossing-falling-diagonal"}},"key":"292B"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing rising diagonal"},"mathspeak":{"default":"falling-diagonal-crossing-rising-diagonal"}},"key":"292C"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar delimiter"},"mathspeak":{"default":"triple-vertical-bar-delimiter"}},"key":"2980"},{"category":"Sm","mappings":{"default":{"default":"z notation spot"},"mathspeak":{"default":"z-notation-spot"}},"key":"2981"},{"category":"Sm","mappings":{"default":{"default":"z notation type colon"},"mathspeak":{"default":"z-notation-type-colon"}},"key":"2982"},{"category":"Sm","mappings":{"default":{"default":"dotted fence"},"mathspeak":{"default":"dotted-fence"}},"key":"2999"},{"category":"Sm","mappings":{"default":{"default":"vertical zigzag line"},"mathspeak":{"default":"vertical-zigzag-line"}},"key":"299A"},{"category":"Sm","mappings":{"default":{"default":"reversed empty set"},"mathspeak":{"default":"reversed-empty-set"}},"key":"29B0"},{"category":"Sm","mappings":{"default":{"default":"empty set with overbar"},"mathspeak":{"default":"empty-set-with-overbar"}},"key":"29B1"},{"category":"Sm","mappings":{"default":{"default":"empty set with small circle above"},"mathspeak":{"default":"empty-set-with-small-circle-above"}},"key":"29B2"},{"category":"Sm","mappings":{"default":{"default":"circle with horizontal bar"},"mathspeak":{"default":"circle-with-horizontal-bar"}},"key":"29B5"},{"category":"Sm","mappings":{"default":{"default":"circled vertical bar"},"mathspeak":{"default":"circled-vertical-bar"}},"key":"29B6"},{"category":"Sm","mappings":{"default":{"default":"circled parallel"},"mathspeak":{"default":"circled-parallel"}},"key":"29B7"},{"category":"Sm","mappings":{"default":{"default":"circled reverse solidus"},"mathspeak":{"default":"circled-reverse-solidus"}},"key":"29B8"},{"category":"Sm","mappings":{"default":{"default":"circled perpendicular"},"mathspeak":{"default":"circled-perpendicular"}},"key":"29B9"},{"category":"Sm","mappings":{"default":{"default":"circle divided by horizontal bar and top half divided by vertical bar"},"mathspeak":{"default":"circle-divided-by-horizontal-bar-and-top-half-divided-by-vertical-bar"}},"key":"29BA"},{"category":"Sm","mappings":{"default":{"default":"circle with superimposed x"},"mathspeak":{"default":"circle-with-superimposed-x"}},"key":"29BB"},{"category":"Sm","mappings":{"default":{"default":"circled anticlockwise rotated division sign","short":"circled anticlockwise rotated division"},"mathspeak":{"default":"circled-anticlockwise-rotated-division"}},"key":"29BC"},{"category":"Sm","mappings":{"default":{"default":"circled white bullet"},"mathspeak":{"default":"circled-white-bullet"}},"key":"29BE"},{"category":"Sm","mappings":{"default":{"default":"circled bullet"},"mathspeak":{"default":"circled-bullet"}},"key":"29BF"},{"category":"Sm","mappings":{"default":{"default":"circled less than"},"mathspeak":{"default":"circled-less-than"}},"key":"29C0"},{"category":"Sm","mappings":{"default":{"default":"circled greater than"},"mathspeak":{"default":"circled-greater-than"}},"key":"29C1"},{"category":"Sm","mappings":{"default":{"default":"circle with small circle to the right"},"mathspeak":{"default":"circle-with-small-circle-to-the-right"}},"key":"29C2"},{"category":"Sm","mappings":{"default":{"default":"circle with two horizontal strokes to the right"},"mathspeak":{"default":"circle-with-two-horizontal-strokes-to-the-right"}},"key":"29C3"},{"category":"Sm","mappings":{"default":{"default":"squared rising diagonal slash"},"mathspeak":{"default":"squared-rising-diagonal-slash"}},"key":"29C4"},{"category":"Sm","mappings":{"default":{"default":"squared falling diagonal slash"},"mathspeak":{"default":"squared-falling-diagonal-slash"}},"key":"29C5"},{"category":"Sm","mappings":{"default":{"default":"squared asterisk"},"mathspeak":{"default":"squared-asterisk"}},"key":"29C6"},{"category":"Sm","mappings":{"default":{"default":"squared small circle"},"mathspeak":{"default":"squared-small-circle"}},"key":"29C7"},{"category":"Sm","mappings":{"default":{"default":"squared square"},"mathspeak":{"default":"squared-square"}},"key":"29C8"},{"category":"Sm","mappings":{"default":{"default":"two joined squares"},"mathspeak":{"default":"two-joined-squares"}},"key":"29C9"},{"category":"Sm","mappings":{"default":{"default":"triangle with dot above"},"mathspeak":{"default":"triangle-with-dot-above"}},"key":"29CA"},{"category":"Sm","mappings":{"default":{"default":"triangle with underbar"},"mathspeak":{"default":"triangle-with-underbar"}},"key":"29CB"},{"category":"Sm","mappings":{"default":{"default":"s in triangle"},"mathspeak":{"default":"s-in-triangle"}},"key":"29CC"},{"category":"Sm","mappings":{"default":{"default":"triangle with serifs at bottom"},"mathspeak":{"default":"triangle-with-serifs-at-bottom"}},"key":"29CD"},{"category":"Sm","mappings":{"default":{"default":"right triangle above left triangle"},"mathspeak":{"default":"right-triangle-above-left-triangle"}},"key":"29CE"},{"category":"Sm","mappings":{"default":{"default":"left triangle beside vertical bar"},"mathspeak":{"default":"left-triangle-beside-vertical-bar"}},"key":"29CF"},{"category":"Sm","mappings":{"default":{"default":"vertical bar beside right triangle"},"mathspeak":{"default":"vertical-bar-beside-right-triangle"}},"key":"29D0"},{"category":"Sm","mappings":{"default":{"default":"bowtie with left half black"},"mathspeak":{"default":"bowtie-with-left-half-black"}},"key":"29D1"},{"category":"Sm","mappings":{"default":{"default":"bowtie with right half black"},"mathspeak":{"default":"bowtie-with-right-half-black"}},"key":"29D2"},{"category":"Sm","mappings":{"default":{"default":"black bowtie"},"mathspeak":{"default":"black-bowtie"}},"key":"29D3"},{"category":"Sm","mappings":{"default":{"default":"times with left half black"},"mathspeak":{"default":"times-with-left-half-black"}},"key":"29D4"},{"category":"Sm","mappings":{"default":{"default":"times with right half black"},"mathspeak":{"default":"times-with-right-half-black"}},"key":"29D5"},{"category":"Sm","mappings":{"default":{"default":"white hourglass"},"mathspeak":{"default":"white-hourglass"}},"key":"29D6"},{"category":"Sm","mappings":{"default":{"default":"black hourglass"},"mathspeak":{"default":"black-hourglass"}},"key":"29D7"},{"category":"Sm","mappings":{"default":{"default":"incomplete infinity"},"mathspeak":{"default":"incomplete-infinity"}},"key":"29DC"},{"category":"Sm","mappings":{"default":{"default":"tie over infinity"},"mathspeak":{"default":"tie-over-infinity"}},"key":"29DD"},{"category":"Sm","mappings":{"default":{"default":"infinity negated with vertical bar"},"mathspeak":{"default":"infinity-negated-with-vertical-bar"}},"key":"29DE"},{"category":"Sm","mappings":{"default":{"default":"double ended multimap"},"mathspeak":{"default":"double-ended-multimap"}},"key":"29DF"},{"category":"Sm","mappings":{"default":{"default":"square with contoured outline"},"mathspeak":{"default":"square-with-contoured-outline"}},"key":"29E0"},{"category":"Sm","mappings":{"default":{"default":"increases as"},"mathspeak":{"default":"increases-as"}},"key":"29E1"},{"category":"Sm","mappings":{"default":{"default":"shuffle product"},"mathspeak":{"default":"shuffle-product"}},"key":"29E2"},{"category":"Sm","mappings":{"default":{"default":"equals sign and slanted parallel"},"mathspeak":{"default":"equals-and-slanted-parallel"}},"key":"29E3"},{"category":"Sm","mappings":{"default":{"default":"equals sign and slanted parallel with tilde above"},"mathspeak":{"default":"equals-and-slanted-parallel-with-tilde-above"}},"key":"29E4"},{"category":"Sm","mappings":{"default":{"default":"identical to and slanted parallel"},"mathspeak":{"default":"identical-to-and-slanted-parallel"}},"key":"29E5"},{"category":"Sm","mappings":{"default":{"default":"gleich stark"},"mathspeak":{"default":"gleich-stark"}},"key":"29E6"},{"category":"Sm","mappings":{"default":{"default":"thermodynamic"}},"key":"29E7"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with left half black"},"mathspeak":{"default":"down-pointing-triangle-with-left-half-black"}},"key":"29E8"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with right half black"},"mathspeak":{"default":"down-pointing-triangle-with-right-half-black"}},"key":"29E9"},{"category":"Sm","mappings":{"default":{"default":"black lozenge"},"mathspeak":{"default":"black-lozenge"}},"key":"29EB"},{"category":"Sm","mappings":{"default":{"default":"error barred white square"},"mathspeak":{"default":"error-barred-white-square"}},"key":"29EE"},{"category":"Sm","mappings":{"default":{"default":"error barred black square"},"mathspeak":{"default":"error-barred-black-square"}},"key":"29EF"},{"category":"Sm","mappings":{"default":{"default":"error barred white diamond"},"mathspeak":{"default":"error-barred-white-diamond"}},"key":"29F0"},{"category":"Sm","mappings":{"default":{"default":"error barred black diamond"},"mathspeak":{"default":"error-barred-black-diamond"}},"key":"29F1"},{"category":"Sm","mappings":{"default":{"default":"error barred white circle"},"mathspeak":{"default":"error-barred-white-circle"}},"key":"29F2"},{"category":"Sm","mappings":{"default":{"default":"error barred black circle"},"mathspeak":{"default":"error-barred-black-circle"}},"key":"29F3"},{"category":"Sm","mappings":{"default":{"default":"rule delayed"},"mathspeak":{"default":"rule-delayed"}},"key":"29F4"},{"category":"Sm","mappings":{"default":{"default":"reverse solidus operator"},"mathspeak":{"default":"reverse-solidus"}},"key":"29F5"},{"category":"Sm","mappings":{"default":{"default":"solidus with overbar"},"mathspeak":{"default":"solidus-with-overbar"}},"key":"29F6"},{"category":"Sm","mappings":{"default":{"default":"reverse solidus with horizontal stroke"},"mathspeak":{"default":"reverse-solidus-with-horizontal-stroke"}},"key":"29F7"},{"category":"Sm","mappings":{"default":{"default":"big solidus"},"mathspeak":{"default":"solidus"}},"key":"29F8"},{"category":"Sm","mappings":{"default":{"default":"big reverse solidus"},"mathspeak":{"default":"reverse-solidus"}},"key":"29F9"},{"category":"Sm","mappings":{"default":{"default":"double plus"},"mathspeak":{"default":"double-plus"}},"key":"29FA"},{"category":"Sm","mappings":{"default":{"default":"triple plus"},"mathspeak":{"default":"triple-plus"}},"key":"29FB"},{"category":"Sm","mappings":{"default":{"default":"tiny"}},"key":"29FE"},{"category":"Sm","mappings":{"default":{"default":"miny"}},"key":"29FF"},{"category":"Sm","mappings":{"default":{"default":"n ary circled dot operator"},"mathspeak":{"default":"circled-dot"}},"key":"2A00"},{"category":"Sm","mappings":{"default":{"default":"n ary circled plus operator"},"mathspeak":{"default":"circled-plus"}},"key":"2A01"},{"category":"Sm","mappings":{"default":{"default":"n ary circled times operator"},"mathspeak":{"default":"circled-times"}},"key":"2A02"},{"category":"Sm","mappings":{"default":{"default":"n ary union operator with dot"},"mathspeak":{"default":"union-with-dot"}},"key":"2A03"},{"category":"Sm","mappings":{"default":{"default":"n ary union operator with plus"},"mathspeak":{"default":"union-with-plus"}},"key":"2A04"},{"category":"Sm","mappings":{"default":{"default":"n ary square intersection operator"},"mathspeak":{"default":"square-intersection"}},"key":"2A05"},{"category":"Sm","mappings":{"default":{"default":"n ary square union operator"},"mathspeak":{"default":"square-union"}},"key":"2A06"},{"category":"Sm","mappings":{"default":{"default":"two logical and operator"},"mathspeak":{"default":"two-logical-and"}},"key":"2A07"},{"category":"Sm","mappings":{"default":{"default":"two logical or operator"},"mathspeak":{"default":"two-logical-or"}},"key":"2A08"},{"category":"Sm","mappings":{"default":{"default":"n ary times operator"},"mathspeak":{"default":"times"}},"key":"2A09"},{"category":"Sm","mappings":{"default":{"default":"modulo two sum"},"mathspeak":{"default":"modulo-two-sum"}},"key":"2A0A"},{"category":"Sm","mappings":{"default":{"default":"summation with integral"},"mathspeak":{"default":"summation-with-integral"}},"key":"2A0B"},{"category":"Sm","mappings":{"default":{"default":"quadruple integral operator"},"mathspeak":{"default":"quadruple-integral"}},"key":"2A0C"},{"category":"Sm","mappings":{"default":{"default":"finite part integral"},"mathspeak":{"default":"finite-part-integral"}},"key":"2A0D"},{"category":"Sm","mappings":{"default":{"default":"integral with double stroke"},"mathspeak":{"default":"integral-with-double-stroke"}},"key":"2A0E"},{"category":"Sm","mappings":{"default":{"default":"integral average with slash"},"mathspeak":{"default":"integral-average-with-slash"}},"key":"2A0F"},{"category":"Sm","mappings":{"default":{"default":"circulation function"},"mathspeak":{"default":"circulation-function"}},"key":"2A10"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise integration"},"mathspeak":{"default":"anticlockwise-integration"}},"key":"2A11"},{"category":"Sm","mappings":{"default":{"default":"line integration with rectangular path around pole"},"mathspeak":{"default":"line-integration-with-rectangular-path-around-pole"}},"key":"2A12"},{"category":"Sm","mappings":{"default":{"default":"line integration with semicircular path around pole"},"mathspeak":{"default":"line-integration-with-semicircular-path-around-pole"}},"key":"2A13"},{"category":"Sm","mappings":{"default":{"default":"line integration not including the pole"},"mathspeak":{"default":"line-integration-not-including-the-pole"}},"key":"2A14"},{"category":"Sm","mappings":{"default":{"default":"integral around a point operator"},"mathspeak":{"default":"integral-around-a-point"}},"key":"2A15"},{"category":"Sm","mappings":{"default":{"default":"quaternion integral operator"},"mathspeak":{"default":"quaternion-integral"}},"key":"2A16"},{"category":"Sm","mappings":{"default":{"default":"integral with times sign","short":"integral with times"},"mathspeak":{"default":"integral-with-times"}},"key":"2A18"},{"category":"Sm","mappings":{"default":{"default":"integral with intersection"},"mathspeak":{"default":"integral-with-intersection"}},"key":"2A19"},{"category":"Sm","mappings":{"default":{"default":"integral with union"},"mathspeak":{"default":"integral-with-union"}},"key":"2A1A"},{"category":"Sm","mappings":{"default":{"default":"integral with overbar"},"mathspeak":{"default":"integral-with-overbar"}},"key":"2A1B"},{"category":"Sm","mappings":{"default":{"default":"integral with underbar"},"mathspeak":{"default":"integral-with-underbar"}},"key":"2A1C"},{"category":"Sm","mappings":{"default":{"default":"join"}},"key":"2A1D"},{"category":"Sm","mappings":{"default":{"default":"large left triangle operator"},"mathspeak":{"default":"large-left-triangle"}},"key":"2A1E"},{"category":"Sm","mappings":{"default":{"default":"z notation schema composition"},"mathspeak":{"default":"z-notation-schema-composition"}},"key":"2A1F"},{"category":"Sm","mappings":{"default":{"default":"z notation schema piping"},"mathspeak":{"default":"z-notation-schema-piping"}},"key":"2A20"},{"category":"Sm","mappings":{"default":{"default":"z notation schema projection"},"mathspeak":{"default":"z-notation-schema-projection"}},"key":"2A21"},{"category":"Sm","mappings":{"default":{"default":"plus sign with small circle above","short":"plus with circle above"},"mathspeak":{"default":"plus-with-circle-above"}},"key":"2A22"},{"category":"Sm","mappings":{"default":{"default":"plus sign with circumflex accent above","short":"plus hat"},"mathspeak":{"default":"plus-hat"}},"key":"2A23"},{"category":"Sm","mappings":{"default":{"default":"plus sign with tilde above","short":"plus tilde"},"mathspeak":{"default":"plus-tilde"}},"key":"2A24"},{"category":"Sm","mappings":{"default":{"default":"plus sign with dot below","short":"plus underdot"},"mathspeak":{"default":"plus-underdot"}},"key":"2A25"},{"category":"Sm","mappings":{"default":{"default":"plus sign with tilde below"},"mathspeak":{"default":"plus-sign-with-tilde-below"}},"key":"2A26"},{"category":"Sm","mappings":{"default":{"default":"plus sign with subscript two"},"mathspeak":{"default":"plus-sign-with-subscript-two"}},"key":"2A27"},{"category":"Sm","mappings":{"default":{"default":"plus sign with black triangle"},"mathspeak":{"default":"plus-sign-with-black-triangle"}},"key":"2A28"},{"category":"Sm","mappings":{"default":{"default":"minus sign with comma above"},"mathspeak":{"default":"minus-sign-with-comma-above"}},"key":"2A29"},{"category":"Sm","mappings":{"default":{"default":"minus sign with dot below"},"mathspeak":{"default":"minus-sign-with-dot-below"}},"key":"2A2A"},{"category":"Sm","mappings":{"default":{"default":"minus sign with falling dots"},"mathspeak":{"default":"minus-sign-with-falling-dots"}},"key":"2A2B"},{"category":"Sm","mappings":{"default":{"default":"minus sign with rising dots"},"mathspeak":{"default":"minus-sign-with-rising-dots"}},"key":"2A2C"},{"category":"Sm","mappings":{"default":{"default":"plus sign in left half circle"},"mathspeak":{"default":"plus-sign-in-left-half-circle"}},"key":"2A2D"},{"category":"Sm","mappings":{"default":{"default":"plus sign in right half circle"},"mathspeak":{"default":"plus-sign-in-right-half-circle"}},"key":"2A2E"},{"category":"Sm","mappings":{"default":{"default":"vector or cross product"},"mathspeak":{"default":"vector-or-cross-product"}},"key":"2A2F"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with dot above"},"mathspeak":{"default":"multiplication-sign-with-dot-above"}},"key":"2A30"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with underbar"},"mathspeak":{"default":"multiplication-sign-with-underbar"}},"key":"2A31"},{"category":"Sm","mappings":{"default":{"default":"semidirect product with bottom closed"},"mathspeak":{"default":"semidirect-product-with-bottom-closed"}},"key":"2A32"},{"category":"Sm","mappings":{"default":{"default":"smash product"},"mathspeak":{"default":"smash-product"}},"key":"2A33"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in left half circle"},"mathspeak":{"default":"multiplication-sign-in-left-half-circle"}},"key":"2A34"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in right half circle"},"mathspeak":{"default":"multiplication-sign-in-right-half-circle"}},"key":"2A35"},{"category":"Sm","mappings":{"default":{"default":"circled multiplication sign with circumflex accent"},"mathspeak":{"default":"circled-multiplication-sign-with-circumflex-accent"}},"key":"2A36"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in double circle"},"mathspeak":{"default":"multiplication-sign-in-double-circle"}},"key":"2A37"},{"category":"Sm","mappings":{"default":{"default":"circled division sign","short":"circled division"},"mathspeak":{"default":"circled-division"}},"key":"2A38"},{"category":"Sm","mappings":{"default":{"default":"plus sign in triangle"},"mathspeak":{"default":"plus-sign-in-triangle"}},"key":"2A39"},{"category":"Sm","mappings":{"default":{"default":"minus sign in triangle"},"mathspeak":{"default":"minus-sign-in-triangle"}},"key":"2A3A"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in triangle"},"mathspeak":{"default":"multiplication-sign-in-triangle"}},"key":"2A3B"},{"category":"Sm","mappings":{"default":{"default":"interior product"},"mathspeak":{"default":"interior-product"}},"key":"2A3C"},{"category":"Sm","mappings":{"default":{"default":"righthand interior product"},"mathspeak":{"default":"righthand-interior-product"}},"key":"2A3D"},{"category":"Sm","mappings":{"default":{"default":"z notation relational composition"},"mathspeak":{"default":"z-notation-relational-composition"}},"key":"2A3E"},{"category":"Sm","mappings":{"default":{"default":"amalgamation or coproduct"},"mathspeak":{"default":"amalgamation-or-coproduct"}},"key":"2A3F"},{"category":"Sm","mappings":{"default":{"default":"intersection with dot"},"mathspeak":{"default":"intersection-with-dot"}},"key":"2A40"},{"category":"Sm","mappings":{"default":{"default":"union with minus sign","short":"union with minus"},"mathspeak":{"default":"union-with-minus"}},"key":"2A41"},{"category":"Sm","mappings":{"default":{"default":"union with overbar"},"mathspeak":{"default":"union-with-overbar"}},"key":"2A42"},{"category":"Sm","mappings":{"default":{"default":"intersection with overbar"},"mathspeak":{"default":"intersection-with-overbar"}},"key":"2A43"},{"category":"Sm","mappings":{"default":{"default":"intersection with logical and"},"mathspeak":{"default":"intersection-with-logical-and"}},"key":"2A44"},{"category":"Sm","mappings":{"default":{"default":"union with logical or"},"mathspeak":{"default":"union-with-logical-or"}},"key":"2A45"},{"category":"Sm","mappings":{"default":{"default":"union above intersection"},"mathspeak":{"default":"union-above-intersection"}},"key":"2A46"},{"category":"Sm","mappings":{"default":{"default":"intersection above union"},"mathspeak":{"default":"intersection-above-union"}},"key":"2A47"},{"category":"Sm","mappings":{"default":{"default":"union above bar above intersection"},"mathspeak":{"default":"union-above-bar-above-intersection"}},"key":"2A48"},{"category":"Sm","mappings":{"default":{"default":"intersection above bar above union"},"mathspeak":{"default":"intersection-above-bar-above-union"}},"key":"2A49"},{"category":"Sm","mappings":{"default":{"default":"union beside and joined with union"},"mathspeak":{"default":"union-beside-and-joined-with-union"}},"key":"2A4A"},{"category":"Sm","mappings":{"default":{"default":"intersection beside and joined with intersection"},"mathspeak":{"default":"intersection-beside-and-joined-with-intersection"}},"key":"2A4B"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs"},"mathspeak":{"default":"closed-union-with-serifs"}},"key":"2A4C"},{"category":"Sm","mappings":{"default":{"default":"closed intersection with serifs"},"mathspeak":{"default":"closed-intersection-with-serifs"}},"key":"2A4D"},{"category":"Sm","mappings":{"default":{"default":"double square intersection"},"mathspeak":{"default":"double-square-intersection"}},"key":"2A4E"},{"category":"Sm","mappings":{"default":{"default":"double square union"},"mathspeak":{"default":"double-square-union"}},"key":"2A4F"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs and smash product"},"mathspeak":{"default":"closed-union-with-serifs-and-smash-product"}},"key":"2A50"},{"category":"Sm","mappings":{"default":{"default":"logical and with dot above"},"mathspeak":{"default":"logical-and-with-dot-above"}},"key":"2A51"},{"category":"Sm","mappings":{"default":{"default":"logical or with dot above"},"mathspeak":{"default":"logical-or-with-dot-above"}},"key":"2A52"},{"category":"Sm","mappings":{"default":{"default":"double logical and"},"mathspeak":{"default":"double-logical-and"}},"key":"2A53"},{"category":"Sm","mappings":{"default":{"default":"double logical or"},"mathspeak":{"default":"double-logical-or"}},"key":"2A54"},{"category":"Sm","mappings":{"default":{"default":"two intersecting logical and"},"mathspeak":{"default":"two-intersecting-logical-and"}},"key":"2A55"},{"category":"Sm","mappings":{"default":{"default":"two intersecting logical or"},"mathspeak":{"default":"two-intersecting-logical-or"}},"key":"2A56"},{"category":"Sm","mappings":{"default":{"default":"sloping large or"},"mathspeak":{"default":"sloping-large-or"}},"key":"2A57"},{"category":"Sm","mappings":{"default":{"default":"sloping large and"},"mathspeak":{"default":"sloping-large-and"}},"key":"2A58"},{"category":"Sm","mappings":{"default":{"default":"logical or overlapping logical and"},"mathspeak":{"default":"logical-or-overlapping-logical-and"}},"key":"2A59"},{"category":"Sm","mappings":{"default":{"default":"logical and with middle stem"},"mathspeak":{"default":"logical-and-with-middle-stem"}},"key":"2A5A"},{"category":"Sm","mappings":{"default":{"default":"logical or with middle stem"},"mathspeak":{"default":"logical-or-with-middle-stem"}},"key":"2A5B"},{"category":"Sm","mappings":{"default":{"default":"logical and with horizontal dash"},"mathspeak":{"default":"logical-and-with-horizontal-dash"}},"key":"2A5C"},{"category":"Sm","mappings":{"default":{"default":"logical or with horizontal dash"},"mathspeak":{"default":"logical-or-with-horizontal-dash"}},"key":"2A5D"},{"category":"Sm","mappings":{"default":{"default":"logical and with double overbar"},"mathspeak":{"default":"logical-and-with-double-overbar"}},"key":"2A5E"},{"category":"Sm","mappings":{"default":{"default":"logical and with underbar"},"mathspeak":{"default":"logical-and-with-underbar"}},"key":"2A5F"},{"category":"Sm","mappings":{"default":{"default":"logical and with double underbar"},"mathspeak":{"default":"logical-and-with-double-underbar"}},"key":"2A60"},{"category":"Sm","mappings":{"default":{"default":"small vee with underbar"},"mathspeak":{"default":"small-vee-with-underbar"}},"key":"2A61"},{"category":"Sm","mappings":{"default":{"default":"logical or with double overbar"},"mathspeak":{"default":"logical-or-with-double-overbar"}},"key":"2A62"},{"category":"Sm","mappings":{"default":{"default":"logical or with double underbar"},"mathspeak":{"default":"logical-or-with-double-underbar"}},"key":"2A63"},{"category":"Sm","mappings":{"default":{"default":"z notation domain antirestriction"},"mathspeak":{"default":"z-notation-domain-antirestriction"}},"key":"2A64"},{"category":"Sm","mappings":{"default":{"default":"z notation range antirestriction"},"mathspeak":{"default":"z-notation-range-antirestriction"}},"key":"2A65"},{"category":"Sm","mappings":{"default":{"default":"equals sign with dot below"},"mathspeak":{"default":"equals-with-dot-below"}},"key":"2A66"},{"category":"Sm","mappings":{"default":{"default":"identical with dot above"},"mathspeak":{"default":"identical-with-dot-above"}},"key":"2A67"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with double vertical stroke"},"mathspeak":{"default":"triple-horizontal-bar-with-double-vertical-stroke"}},"key":"2A68"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with triple vertical stroke"},"mathspeak":{"default":"triple-horizontal-bar-with-triple-vertical-stroke"}},"key":"2A69"},{"category":"Sm","mappings":{"default":{"default":"tilde operator with dot above"},"mathspeak":{"default":"tilde-with-dot-above"}},"key":"2A6A"},{"category":"Sm","mappings":{"default":{"default":"tilde operator with rising dots"},"mathspeak":{"default":"tilde-with-rising-dots"}},"key":"2A6B"},{"category":"Sm","mappings":{"default":{"default":"similar minus similar"},"mathspeak":{"default":"similar-minus-similar"}},"key":"2A6C"},{"category":"Sm","mappings":{"default":{"default":"congruent with dot above"},"mathspeak":{"default":"congruent-with-dot-above"}},"key":"2A6D"},{"category":"Sm","mappings":{"default":{"default":"equals with asterisk"},"mathspeak":{"default":"equals-with-asterisk"}},"key":"2A6E"},{"category":"Sm","mappings":{"default":{"default":"almost equals with circumflex accent","short":"almost equal hat"},"mathspeak":{"default":"almost-equal-hat"}},"key":"2A6F"},{"category":"Sm","mappings":{"default":{"default":"approximately equal or equals"},"mathspeak":{"default":"approximately-equal-or-equal-to"}},"key":"2A70"},{"category":"Sm","mappings":{"default":{"default":"equals sign above plus sign","short":"equals above plus"},"mathspeak":{"default":"equals-above-plus"}},"key":"2A71"},{"category":"Sm","mappings":{"default":{"default":"plus sign above equals sign","short":"plus above equals"},"mathspeak":{"default":"plus-above-equals"}},"key":"2A72"},{"category":"Sm","mappings":{"default":{"default":"equals sign above tilde operator","short":"equals above tilde operator"},"mathspeak":{"default":"equals-above-tilde"}},"key":"2A73"},{"category":"Sm","mappings":{"default":{"default":"double colon equal"},"mathspeak":{"default":"double-colon-equal"}},"key":"2A74"},{"category":"Sm","mappings":{"default":{"default":"two consecutive equals signs","short":"two consecutive equals"},"mathspeak":{"default":"two-consecutive-equals"}},"key":"2A75"},{"category":"Sm","mappings":{"default":{"default":"three consecutive equals signs","short":"three consecutive equals"},"mathspeak":{"default":"three-consecutive-equals"}},"key":"2A76"},{"category":"Sm","mappings":{"default":{"default":"equals sign with two dots above and two dots below"},"mathspeak":{"default":"equals-with-two-dots-above-and-two-dots-below"}},"key":"2A77"},{"category":"Sm","mappings":{"default":{"default":"equivalent with four dots above"},"mathspeak":{"default":"equivalent-with-four-dots-above"}},"key":"2A78"},{"category":"Sm","mappings":{"default":{"default":"less than with circle inside"},"mathspeak":{"default":"less-than-with-circle-inside"}},"key":"2A79"},{"category":"Sm","mappings":{"default":{"default":"greater than with circle inside"},"mathspeak":{"default":"greater-than-with-circle-inside"}},"key":"2A7A"},{"category":"Sm","mappings":{"default":{"default":"less than with question mark above"},"mathspeak":{"default":"less-than-with-question-mark-above"}},"key":"2A7B"},{"category":"Sm","mappings":{"default":{"default":"greater than with question mark above"},"mathspeak":{"default":"greater-than-with-question-mark-above"}},"key":"2A7C"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals"},"mathspeak":{"default":"less-than-or-slanted-equals"}},"key":"2A7D"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals"},"mathspeak":{"default":"greater-than-or-slanted-equals"}},"key":"2A7E"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot inside"},"mathspeak":{"default":"less-than-or-slanted-equals-with-dot-inside"}},"key":"2A7F"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot inside"},"mathspeak":{"default":"greater-than-or-slanted-equals-with-dot-inside"}},"key":"2A80"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above"},"mathspeak":{"default":"less-than-or-slanted-equals-with-dot-above"}},"key":"2A81"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above"},"mathspeak":{"default":"greater-than-or-slanted-equals-with-dot-above"}},"key":"2A82"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above right"},"mathspeak":{"default":"less-than-or-slanted-equals-with-dot-above-right"}},"key":"2A83"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above left"},"mathspeak":{"default":"greater-than-or-slanted-equals-with-dot-above-left"}},"key":"2A84"},{"category":"Sm","mappings":{"default":{"default":"less than or approximate"},"mathspeak":{"default":"less-than-or-approximate"}},"key":"2A85"},{"category":"Sm","mappings":{"default":{"default":"greater than or approximate"},"mathspeak":{"default":"greater-than-or-approximate"}},"key":"2A86"},{"category":"Sm","mappings":{"default":{"default":"less than and single line not equals"},"mathspeak":{"default":"less-than-and-single-line-not-equals"}},"key":"2A87"},{"category":"Sm","mappings":{"default":{"default":"greater than and single line not equals"},"mathspeak":{"default":"greater-than-and-single-line-not-equals"}},"key":"2A88"},{"category":"Sm","mappings":{"default":{"default":"less than and not approximate"},"mathspeak":{"default":"less-than-and-not-approximate"}},"key":"2A89"},{"category":"Sm","mappings":{"default":{"default":"greater than and not approximate"},"mathspeak":{"default":"greater-than-and-not-approximate"}},"key":"2A8A"},{"category":"Sm","mappings":{"default":{"default":"less than above double line equal above greater than"},"mathspeak":{"default":"less-than-above-double-line-equal-above-greater-than"}},"key":"2A8B"},{"category":"Sm","mappings":{"default":{"default":"greater than above double line equal above less than"},"mathspeak":{"default":"greater-than-above-double-line-equal-above-less-than"}},"key":"2A8C"},{"category":"Sm","mappings":{"default":{"default":"less than above similar or equal"},"mathspeak":{"default":"less-than-above-similar-or-equal"}},"key":"2A8D"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar or equal"},"mathspeak":{"default":"greater-than-above-similar-or-equal"}},"key":"2A8E"},{"category":"Sm","mappings":{"default":{"default":"less than above similar above greater than"},"mathspeak":{"default":"less-than-above-similar-above-greater-than"}},"key":"2A8F"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar above less than"},"mathspeak":{"default":"greater-than-above-similar-above-less-than"}},"key":"2A90"},{"category":"Sm","mappings":{"default":{"default":"less than above greater than above double line equal"},"mathspeak":{"default":"less-than-above-greater-than-above-double-line-equal"}},"key":"2A91"},{"category":"Sm","mappings":{"default":{"default":"greater than above less than above double line equal"},"mathspeak":{"default":"greater-than-above-less-than-above-double-line-equal"}},"key":"2A92"},{"category":"Sm","mappings":{"default":{"default":"less than above slanted equal above greater than above slanted equal"},"mathspeak":{"default":"less-than-above-slanted-equal-above-greater-than-above-slanted-equal"}},"key":"2A93"},{"category":"Sm","mappings":{"default":{"default":"greater than above slanted equal above less than above slanted equal"},"mathspeak":{"default":"greater-than-above-slanted-equal-above-less-than-above-slanted-equal"}},"key":"2A94"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than"},"mathspeak":{"default":"slanted-equals-or-less-than"}},"key":"2A95"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than"},"mathspeak":{"default":"slanted-equals-or-greater-than"}},"key":"2A96"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than with dot inside"},"mathspeak":{"default":"slanted-equals-or-less-than-with-dot-inside"}},"key":"2A97"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than with dot inside"},"mathspeak":{"default":"slanted-equals-or-greater-than-with-dot-inside"}},"key":"2A98"},{"category":"Sm","mappings":{"default":{"default":"double line equals or less than"},"mathspeak":{"default":"double-line-equals-or-less-than"}},"key":"2A99"},{"category":"Sm","mappings":{"default":{"default":"double line equals or greater than"},"mathspeak":{"default":"double-line-equals-or-greater-than"}},"key":"2A9A"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or less than"},"mathspeak":{"default":"double-line-slanted-equals-or-less-than"}},"key":"2A9B"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or greater than"},"mathspeak":{"default":"double-line-slanted-equals-or-greater-than"}},"key":"2A9C"},{"category":"Sm","mappings":{"default":{"default":"similar or less than"},"mathspeak":{"default":"similar-or-less-than"}},"key":"2A9D"},{"category":"Sm","mappings":{"default":{"default":"similar or greater than"},"mathspeak":{"default":"similar-or-greater-than"}},"key":"2A9E"},{"category":"Sm","mappings":{"default":{"default":"similar above less than above equals sign"},"mathspeak":{"default":"similar-above-less-than-above-equals"}},"key":"2A9F"},{"category":"Sm","mappings":{"default":{"default":"similar above greater than above equals sign"},"mathspeak":{"default":"similar-above-greater-than-above-equals"}},"key":"2AA0"},{"category":"Sm","mappings":{"default":{"default":"double nested less than"},"mathspeak":{"default":"double-nested-less-than"}},"key":"2AA1"},{"category":"Sm","mappings":{"default":{"default":"double nested greater than"},"mathspeak":{"default":"double-nested-greater-than"}},"key":"2AA2"},{"category":"Sm","mappings":{"default":{"default":"double nested less than with underbar"},"mathspeak":{"default":"double-nested-less-than-with-underbar"}},"key":"2AA3"},{"category":"Sm","mappings":{"default":{"default":"greater than overlapping less than"},"mathspeak":{"default":"greater-than-overlapping-less-than"}},"key":"2AA4"},{"category":"Sm","mappings":{"default":{"default":"greater than beside less than"},"mathspeak":{"default":"greater-than-beside-less-than"}},"key":"2AA5"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve"},"mathspeak":{"default":"less-than-closed-by-curve"}},"key":"2AA6"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve"},"mathspeak":{"default":"greater-than-closed-by-curve"}},"key":"2AA7"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve above slanted equal"},"mathspeak":{"default":"less-than-closed-by-curve-above-slanted-equal"}},"key":"2AA8"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve above slanted equal"},"mathspeak":{"default":"greater-than-closed-by-curve-above-slanted-equal"}},"key":"2AA9"},{"category":"Sm","mappings":{"default":{"default":"smaller than"},"mathspeak":{"default":"smaller-than"}},"key":"2AAA"},{"category":"Sm","mappings":{"default":{"default":"larger than"},"mathspeak":{"default":"larger-than"}},"key":"2AAB"},{"category":"Sm","mappings":{"default":{"default":"smaller than or equals"},"mathspeak":{"default":"smaller-than-or-equal-to"}},"key":"2AAC"},{"category":"Sm","mappings":{"default":{"default":"larger than or equals"},"mathspeak":{"default":"larger-than-or-equal-to"}},"key":"2AAD"},{"category":"Sm","mappings":{"default":{"default":"equals sign with bumpy above"},"mathspeak":{"default":"equals-with-bumpy-above"}},"key":"2AAE"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line equals sign"},"mathspeak":{"default":"precedes-above-single-line-equals"}},"key":"2AAF"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line equals sign"},"mathspeak":{"default":"succeeds-above-single-line-equals"}},"key":"2AB0"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line not equals"},"mathspeak":{"default":"precedes-above-single-line-not-equals"}},"key":"2AB1"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line not equals"},"mathspeak":{"default":"succeeds-above-single-line-not-equals"}},"key":"2AB2"},{"category":"Sm","mappings":{"default":{"default":"precedes above equals sign"},"mathspeak":{"default":"precedes-above-equals"}},"key":"2AB3"},{"category":"Sm","mappings":{"default":{"default":"succeeds above equals sign"},"mathspeak":{"default":"succeeds-above-equals"}},"key":"2AB4"},{"category":"Sm","mappings":{"default":{"default":"precedes above not equals"},"mathspeak":{"default":"precedes-above-not-equals"}},"key":"2AB5"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not equals"},"mathspeak":{"default":"succeeds-above-not-equals"}},"key":"2AB6"},{"category":"Sm","mappings":{"default":{"default":"precedes above almost equals"},"mathspeak":{"default":"precedes-above-almost-equals"}},"key":"2AB7"},{"category":"Sm","mappings":{"default":{"default":"succeeds above almost equals"},"mathspeak":{"default":"succeeds-above-almost-equals"}},"key":"2AB8"},{"category":"Sm","mappings":{"default":{"default":"precedes above not almost equals"},"mathspeak":{"default":"precedes-above-not-almost-equals"}},"key":"2AB9"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not almost equals"},"mathspeak":{"default":"succeeds-above-not-almost-equals"}},"key":"2ABA"},{"category":"Sm","mappings":{"default":{"default":"double precedes"},"mathspeak":{"default":"double-precedes"}},"key":"2ABB"},{"category":"Sm","mappings":{"default":{"default":"double succeeds"},"mathspeak":{"default":"double-succeeds"}},"key":"2ABC"},{"category":"Sm","mappings":{"default":{"default":"subset with dot"},"mathspeak":{"default":"subset-with-dot"}},"key":"2ABD"},{"category":"Sm","mappings":{"default":{"default":"superset with dot"},"mathspeak":{"default":"superset-with-dot"}},"key":"2ABE"},{"category":"Sm","mappings":{"default":{"default":"subset with plus sign below"},"mathspeak":{"default":"subset-with-plus-sign-below"}},"key":"2ABF"},{"category":"Sm","mappings":{"default":{"default":"superset with plus sign below"},"mathspeak":{"default":"superset-with-plus-sign-below"}},"key":"2AC0"},{"category":"Sm","mappings":{"default":{"default":"subset with multiplication sign below"},"mathspeak":{"default":"subset-with-multiplication-sign-below"}},"key":"2AC1"},{"category":"Sm","mappings":{"default":{"default":"superset with multiplication sign below"},"mathspeak":{"default":"superset-with-multiplication-sign-below"}},"key":"2AC2"},{"category":"Sm","mappings":{"default":{"default":"subset of or equals with dot above"},"mathspeak":{"default":"subset-of-or-equal-to-with-dot-above"}},"key":"2AC3"},{"category":"Sm","mappings":{"default":{"default":"superset of or equals with dot above"},"mathspeak":{"default":"superset-of-or-equal-to-with-dot-above"}},"key":"2AC4"},{"category":"Sm","mappings":{"default":{"default":"subset of above equals sign"},"mathspeak":{"default":"subset-of-above-equals"}},"key":"2AC5"},{"category":"Sm","mappings":{"default":{"default":"superset of above equals sign"},"mathspeak":{"default":"superset-of-above-equals"}},"key":"2AC6"},{"category":"Sm","mappings":{"default":{"default":"subset of above tilde operator"},"mathspeak":{"default":"subset-of-above-tilde"}},"key":"2AC7"},{"category":"Sm","mappings":{"default":{"default":"superset of above tilde operator"},"mathspeak":{"default":"superset-of-above-tilde"}},"key":"2AC8"},{"category":"Sm","mappings":{"default":{"default":"subset of above almost equals"},"mathspeak":{"default":"subset-of-above-almost-equals"}},"key":"2AC9"},{"category":"Sm","mappings":{"default":{"default":"superset of above almost equals"},"mathspeak":{"default":"superset-of-above-almost-equals"}},"key":"2ACA"},{"category":"Sm","mappings":{"default":{"default":"subset of above not equals"},"mathspeak":{"default":"subset-of-above-not-equals"}},"key":"2ACB"},{"category":"Sm","mappings":{"default":{"default":"superset of above not equals"},"mathspeak":{"default":"superset-of-above-not-equals"}},"key":"2ACC"},{"category":"Sm","mappings":{"default":{"default":"square left open box operator"},"mathspeak":{"default":"square-left-open-box"}},"key":"2ACD"},{"category":"Sm","mappings":{"default":{"default":"square right open box operator"},"mathspeak":{"default":"square-right-open-box"}},"key":"2ACE"},{"category":"Sm","mappings":{"default":{"default":"closed subset"},"mathspeak":{"default":"closed-subset"}},"key":"2ACF"},{"category":"Sm","mappings":{"default":{"default":"closed superset"},"mathspeak":{"default":"closed-superset"}},"key":"2AD0"},{"category":"Sm","mappings":{"default":{"default":"closed subset or equals"},"mathspeak":{"default":"closed-subset-or-equal-to"}},"key":"2AD1"},{"category":"Sm","mappings":{"default":{"default":"closed superset or equals"},"mathspeak":{"default":"closed-superset-or-equal-to"}},"key":"2AD2"},{"category":"Sm","mappings":{"default":{"default":"subset above superset"},"mathspeak":{"default":"subset-above-superset"}},"key":"2AD3"},{"category":"Sm","mappings":{"default":{"default":"superset above subset"},"mathspeak":{"default":"superset-above-subset"}},"key":"2AD4"},{"category":"Sm","mappings":{"default":{"default":"subset above subset"},"mathspeak":{"default":"subset-above-subset"}},"key":"2AD5"},{"category":"Sm","mappings":{"default":{"default":"superset above superset"},"mathspeak":{"default":"superset-above-superset"}},"key":"2AD6"},{"category":"Sm","mappings":{"default":{"default":"superset beside subset"},"mathspeak":{"default":"superset-beside-subset"}},"key":"2AD7"},{"category":"Sm","mappings":{"default":{"default":"superset beside and joined by dash with subset"},"mathspeak":{"default":"superset-beside-and-joined-by-dash-with-subset"}},"key":"2AD8"},{"category":"Sm","mappings":{"default":{"default":"element of opening downwards"},"mathspeak":{"default":"element-of-opening-downwards"}},"key":"2AD9"},{"category":"Sm","mappings":{"default":{"default":"pitchfork with tee top"},"mathspeak":{"default":"pitchfork-with-tee-top"}},"key":"2ADA"},{"category":"Sm","mappings":{"default":{"default":"transversal intersection"},"mathspeak":{"default":"transversal-intersection"}},"key":"2ADB"},{"category":"Sm","mappings":{"default":{"default":"forking"}},"key":"2ADC"},{"category":"Sm","mappings":{"default":{"default":"nonforking"}},"key":"2ADD"},{"category":"Sm","mappings":{"default":{"default":"short left tack"},"mathspeak":{"default":"short-left-tack"}},"key":"2ADE"},{"category":"Sm","mappings":{"default":{"default":"short down tack"},"mathspeak":{"default":"short-down-tack"}},"key":"2ADF"},{"category":"Sm","mappings":{"default":{"default":"short up tack"},"mathspeak":{"default":"short-up-tack"}},"key":"2AE0"},{"category":"Sm","mappings":{"default":{"default":"perpendicular with s"},"mathspeak":{"default":"perpendicular-with-s"}},"key":"2AE1"},{"category":"Sm","mappings":{"default":{"default":"vertical bar triple right turnstile"},"mathspeak":{"default":"vertical-bar-triple-right-turnstile"}},"key":"2AE2"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar left turnstile"},"mathspeak":{"default":"double-vertical-bar-left-turnstile"}},"key":"2AE3"},{"category":"Sm","mappings":{"default":{"default":"vertical bar double left turnstile"},"mathspeak":{"default":"vertical-bar-double-left-turnstile"}},"key":"2AE4"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double left turnstile"},"mathspeak":{"default":"double-vertical-bar-double-left-turnstile"}},"key":"2AE5"},{"category":"Sm","mappings":{"default":{"default":"long dash from left member of double vertical"},"mathspeak":{"default":"long-dash-from-left-member-of-double-vertical"}},"key":"2AE6"},{"category":"Sm","mappings":{"default":{"default":"short down tack with overbar"},"mathspeak":{"default":"short-down-tack-with-overbar"}},"key":"2AE7"},{"category":"Sm","mappings":{"default":{"default":"short up tack with underbar"},"mathspeak":{"default":"short-up-tack-with-underbar"}},"key":"2AE8"},{"category":"Sm","mappings":{"default":{"default":"short up tack above short down tack"},"mathspeak":{"default":"short-up-tack-above-short-down-tack"}},"key":"2AE9"},{"category":"Sm","mappings":{"default":{"default":"double down tack"},"mathspeak":{"default":"double-down-tack"}},"key":"2AEA"},{"category":"Sm","mappings":{"default":{"default":"double up tack"},"mathspeak":{"default":"double-up-tack"}},"key":"2AEB"},{"category":"Sm","mappings":{"default":{"default":"double stroke not sign"},"mathspeak":{"default":"double-stroke-not-sign"}},"key":"2AEC"},{"category":"Sm","mappings":{"default":{"default":"reversed double stroke not sign"},"mathspeak":{"default":"reversed-double-stroke-not-sign"}},"key":"2AED"},{"category":"Sm","mappings":{"default":{"default":"does not divide with reversed negation slash"},"mathspeak":{"default":"does-not-divide-with-reversed-negation-slash"}},"key":"2AEE"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle above"},"mathspeak":{"default":"vertical-line-with-circle-above"}},"key":"2AEF"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle below"},"mathspeak":{"default":"vertical-line-with-circle-below"}},"key":"2AF0"},{"category":"Sm","mappings":{"default":{"default":"down tack with circle below"},"mathspeak":{"default":"down-tack-with-circle-below"}},"key":"2AF1"},{"category":"Sm","mappings":{"default":{"default":"parallel with horizontal stroke"},"mathspeak":{"default":"parallel-with-horizontal-stroke"}},"key":"2AF2"},{"category":"Sm","mappings":{"default":{"default":"parallel with tilde operator"},"mathspeak":{"default":"parallel-with-tilde"}},"key":"2AF3"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar binary relation"},"mathspeak":{"default":"triple-vertical-bar-binary-relation"}},"key":"2AF4"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar with horizontal stroke"},"mathspeak":{"default":"triple-vertical-bar-with-horizontal-stroke"}},"key":"2AF5"},{"category":"Sm","mappings":{"default":{"default":"triple colon operator"},"mathspeak":{"default":"triple-colon"}},"key":"2AF6"},{"category":"Sm","mappings":{"default":{"default":"triple nested less than"},"mathspeak":{"default":"triple-nested-less-than"}},"key":"2AF7"},{"category":"Sm","mappings":{"default":{"default":"triple nested greater than"},"mathspeak":{"default":"triple-nested-greater-than"}},"key":"2AF8"},{"category":"Sm","mappings":{"default":{"default":"double line slanted less than or equals"},"mathspeak":{"default":"double-line-slanted-less-than-or-equal-to"}},"key":"2AF9"},{"category":"Sm","mappings":{"default":{"default":"double line slanted greater than or equals"},"mathspeak":{"default":"double-line-slanted-greater-than-or-equal-to"}},"key":"2AFA"},{"category":"Sm","mappings":{"default":{"default":"triple solidus binary relation"},"mathspeak":{"default":"triple-solidus-binary-relation"}},"key":"2AFB"},{"category":"Sm","mappings":{"default":{"default":"large triple vertical bar operator"},"mathspeak":{"default":"large-triple-vertical-bar"}},"key":"2AFC"},{"category":"Sm","mappings":{"default":{"default":"double solidus operator"},"mathspeak":{"default":"double-solidus"}},"key":"2AFD"},{"category":"Sm","mappings":{"default":{"default":"white vertical bar"},"mathspeak":{"default":"white-vertical-bar"}},"key":"2AFE"},{"category":"Sm","mappings":{"default":{"default":"n ary white vertical bar"},"mathspeak":{"default":"white-vertical-bar"}},"key":"2AFF"},{"category":"Pd","mappings":{"default":{"default":"wave dash"},"mathspeak":{"default":"wave-dash"}},"key":"301C"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical comma"},"mathspeak":{"default":"presentation-form-for-vertical-comma"}},"key":"FE10"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical colon"},"mathspeak":{"default":"presentation-form-for-vertical-colon"}},"key":"FE13"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical semicolon"},"mathspeak":{"default":"presentation-form-for-vertical-semicolon"}},"key":"FE14"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical exclamation mark"},"mathspeak":{"default":"presentation-form-for-vertical-exclamation-mark"}},"key":"FE15"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical question mark"},"mathspeak":{"default":"presentation-form-for-vertical-question-mark"}},"key":"FE16"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical horizontal ellipsis"},"mathspeak":{"default":"presentation-form-for-vertical-horizontal-ellipsis"}},"key":"FE19"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical two dot leader","alternative":"glyph for vertical two dot leader"},"mathspeak":{"default":"glyph-for-vertical-two-dot-leader"}},"key":"FE30"},{"category":"Pd","mappings":{"default":{"default":"presentation form for vertical em dash","alternative":"glyph for vertical em dash"},"mathspeak":{"default":"glyph-for-vertical-em-dash"}},"key":"FE31"},{"category":"Pd","mappings":{"default":{"default":"presentation form for vertical en dash","alternative":"glyph for vertical en dash"},"mathspeak":{"default":"glyph-for-vertical-en-dash"}},"key":"FE32"},{"category":"Pc","mappings":{"default":{"default":"presentation form for vertical low line","alternative":"glyph for vertical spacing underscore"},"mathspeak":{"default":"glyph-for-vertical-underscore"}},"key":"FE33"},{"category":"Pc","mappings":{"default":{"default":"presentation form for vertical wavy low line","alternative":"glyph for vertical spacing wavy underscore"},"mathspeak":{"default":"glyph-for-vertical-wavy-underscore"}},"key":"FE34"},{"category":"Po","mappings":{"default":{"default":"sesame dot"},"mathspeak":{"default":"sesame-dot"}},"key":"FE45"},{"category":"Po","mappings":{"default":{"default":"white sesame dot"},"mathspeak":{"default":"white-sesame-dot"}},"key":"FE46"},{"category":"Po","mappings":{"default":{"default":"dashed overline","alternative":"spacing dashed overscore"},"mathspeak":{"default":"dashed-overscore"}},"key":"FE49"},{"category":"Po","mappings":{"default":{"default":"centerline overline","alternative":"spacing centerline overscore"},"mathspeak":{"default":"centerline-overscore"}},"key":"FE4A"},{"category":"Po","mappings":{"default":{"default":"wavy overline","alternative":"spacing wavy overscore"},"mathspeak":{"default":"wavy-overscore"}},"key":"FE4B"},{"category":"Po","mappings":{"default":{"default":"double wavy overline","alternative":"spacing double wavy overscore"},"mathspeak":{"default":"double-wavy-overscore"}},"key":"FE4C"},{"category":"Pc","mappings":{"default":{"default":"dashed low line","alternative":"spacing dashed underscore"},"mathspeak":{"default":"dashed-underscore"}},"key":"FE4D"},{"category":"Pc","mappings":{"default":{"default":"centerline low line","alternative":"spacing centerline underscore"},"mathspeak":{"default":"centerline-underscore"}},"key":"FE4E"},{"category":"Pc","mappings":{"default":{"default":"wavy low line","alternative":"spacing wavy underscore"},"mathspeak":{"default":"wavy-underscore"}},"key":"FE4F"},{"category":"Po","mappings":{"default":{"default":"small comma"},"mathspeak":{"default":"small-comma"}},"key":"FE50"},{"category":"Po","mappings":{"default":{"default":"small full stop","alternative":"small period"},"mathspeak":{"default":"small-period"}},"key":"FE52"},{"category":"Po","mappings":{"default":{"default":"small semicolon"},"mathspeak":{"default":"small-semicolon"}},"key":"FE54"},{"category":"Po","mappings":{"default":{"default":"small colon"},"mathspeak":{"default":"small-colon"}},"key":"FE55"},{"category":"Po","mappings":{"default":{"default":"small question mark"},"mathspeak":{"default":"small-question-mark"}},"key":"FE56"},{"category":"Po","mappings":{"default":{"default":"small exclamation mark"},"mathspeak":{"default":"small-exclamation-mark"}},"key":"FE57"},{"category":"Pd","mappings":{"default":{"default":"small em dash"},"mathspeak":{"default":"small-em-dash"}},"key":"FE58"},{"category":"Po","mappings":{"default":{"default":"small number sign"},"mathspeak":{"default":"small-number-sign"}},"key":"FE5F"},{"category":"Po","mappings":{"default":{"default":"small ampersand"},"mathspeak":{"default":"small-ampersand"}},"key":"FE60"},{"category":"Po","mappings":{"default":{"default":"small asterisk"},"mathspeak":{"default":"small-asterisk"}},"key":"FE61"},{"category":"Sm","mappings":{"default":{"default":"small plus sign"},"mathspeak":{"default":"small-plus-sign"}},"key":"FE62"},{"category":"Pd","mappings":{"default":{"default":"small hyphen minus"},"mathspeak":{"default":"small-hyphen-minus"}},"key":"FE63"},{"category":"Sm","mappings":{"default":{"default":"small less than sign"},"mathspeak":{"default":"small-less-than-sign"}},"key":"FE64"},{"category":"Sm","mappings":{"default":{"default":"small greater than sign"},"mathspeak":{"default":"small-greater-than-sign"}},"key":"FE65"},{"category":"Sm","mappings":{"default":{"default":"small equals sign"},"mathspeak":{"default":"small-equals"}},"key":"FE66"},{"category":"Po","mappings":{"default":{"default":"small reverse solidus","alternative":"small backslash"},"mathspeak":{"default":"small-backslash"}},"key":"FE68"},{"category":"Sc","mappings":{"default":{"default":"small dollar sign"},"mathspeak":{"default":"small-dollar-sign"}},"key":"FE69"},{"category":"Po","mappings":{"default":{"default":"small percent sign"},"mathspeak":{"default":"small-percent-sign"}},"key":"FE6A"},{"category":"Po","mappings":{"default":{"default":"small commercial at"},"mathspeak":{"default":"small-commercial-at"}},"key":"FE6B"},{"category":"Po","mappings":{"default":{"default":"fullwidth exclamation mark"},"mathspeak":{"default":"exclamation-mark"}},"key":"FF01"},{"category":"Po","mappings":{"default":{"default":"fullwidth quotation mark"},"mathspeak":{"default":"quotation-mark"}},"key":"FF02"},{"category":"Po","mappings":{"default":{"default":"fullwidth number sign"},"mathspeak":{"default":"number-sign"}},"key":"FF03"},{"category":"Sc","mappings":{"default":{"default":"fullwidth dollar sign"},"mathspeak":{"default":"dollar-sign"}},"key":"FF04"},{"category":"Po","mappings":{"default":{"default":"fullwidth percent sign"},"mathspeak":{"default":"percent-sign"}},"key":"FF05"},{"category":"Po","mappings":{"default":{"default":"fullwidth ampersand"},"mathspeak":{"default":"ampersand"}},"key":"FF06"},{"category":"Po","mappings":{"default":{"default":"fullwidth apostrophe"},"mathspeak":{"default":"apostrophe"}},"key":"FF07"},{"category":"Po","mappings":{"default":{"default":"fullwidth asterisk"},"mathspeak":{"default":"asterisk"}},"key":"FF0A"},{"category":"Sm","mappings":{"default":{"default":"fullwidth plus sign"},"mathspeak":{"default":"plus-sign"}},"key":"FF0B"},{"category":"Po","mappings":{"default":{"default":"fullwidth comma"},"mathspeak":{"default":"comma"}},"key":"FF0C"},{"category":"Pd","mappings":{"default":{"default":"fullwidth hyphen minus"},"mathspeak":{"default":"hyphen-minus"}},"key":"FF0D"},{"category":"Po","mappings":{"default":{"default":"fullwidth full stop","alternative":"fullwidth period"},"mathspeak":{"default":"period"}},"key":"FF0E"},{"category":"Po","mappings":{"default":{"default":"fullwidth solidus","alternative":"fullwidth slash"},"mathspeak":{"default":"slash"}},"key":"FF0F"},{"category":"Po","mappings":{"default":{"default":"fullwidth colon"},"mathspeak":{"default":"colon"}},"key":"FF1A"},{"category":"Po","mappings":{"default":{"default":"fullwidth semicolon"},"mathspeak":{"default":"semicolon"}},"key":"FF1B"},{"category":"Sm","mappings":{"default":{"default":"fullwidth less than sign"},"mathspeak":{"default":"less-than-sign"}},"key":"FF1C"},{"category":"Sm","mappings":{"default":{"default":"fullwidth equals sign"},"mathspeak":{"default":"equals"}},"key":"FF1D"},{"category":"Sm","mappings":{"default":{"default":"fullwidth greater than sign"},"mathspeak":{"default":"greater-than-sign"}},"key":"FF1E"},{"category":"Po","mappings":{"default":{"default":"fullwidth question mark"},"mathspeak":{"default":"question-mark"}},"key":"FF1F"},{"category":"Po","mappings":{"default":{"default":"fullwidth commercial at"},"mathspeak":{"default":"commercial-at"}},"key":"FF20"},{"category":"Po","mappings":{"default":{"default":"fullwidth reverse solidus","alternative":"fullwidth backslash"},"mathspeak":{"default":"backslash"}},"key":"FF3C"},{"category":"Sk","mappings":{"default":{"default":"fullwidth circumflex accent","alternative":"fullwidth spacing circumflex"},"mathspeak":{"default":"caret"}},"key":"FF3E"},{"category":"Pc","mappings":{"default":{"default":"fullwidth low line","alternative":"fullwidth spacing underscore"},"mathspeak":{"default":"bar"}},"key":"FF3F"},{"category":"Sk","mappings":{"default":{"default":"fullwidth grave accent","alternative":"fullwidth spacing grave"},"mathspeak":{"default":"grave"}},"key":"FF40"},{"category":"Sm","mappings":{"default":{"default":"fullwidth vertical line","alternative":"fullwidth vertical bar"},"mathspeak":{"default":"vertical-bar"}},"key":"FF5C"},{"category":"Sm","mappings":{"default":{"default":"fullwidth tilde","alternative":"fullwidth spacing tilde"},"mathspeak":{"default":"tilde"}},"key":"FF5E"},{"category":"Sc","mappings":{"default":{"default":"fullwidth cent sign"},"mathspeak":{"default":"cent-sign"}},"key":"FFE0"},{"category":"Sc","mappings":{"default":{"default":"fullwidth pound sign"},"mathspeak":{"default":"pound-sign"}},"key":"FFE1"},{"category":"Sm","mappings":{"default":{"default":"fullwidth not sign"},"mathspeak":{"default":"not-sign"}},"key":"FFE2"},{"category":"Sk","mappings":{"default":{"default":"fullwidth macron","alternative":"fullwidth spacing macron"},"mathspeak":{"default":"bar"}},"key":"FFE3"},{"category":"So","mappings":{"default":{"default":"fullwidth broken bar","alternative":"fullwidth broken vertical bar"},"mathspeak":{"default":"broken-vertical-bar"}},"key":"FFE4"},{"category":"Sc","mappings":{"default":{"default":"fullwidth yen sign"},"mathspeak":{"default":"yen-sign"}},"key":"FFE5"},{"category":"Sc","mappings":{"default":{"default":"fullwidth won sign"},"mathspeak":{"default":"won-sign"}},"key":"FFE6"},{"category":"So","mappings":{"default":{"default":"halfwidth forms light vertical"},"mathspeak":{"default":"halfwidth-forms-light-vertical"}},"key":"FFE8"},{"category":"So","mappings":{"default":{"default":"halfwidth black square"},"mathspeak":{"default":"halfwidth-black-square"}},"key":"FFED"},{"category":"So","mappings":{"default":{"default":"halfwidth white circle"},"mathspeak":{"default":"halfwidth-white-circle"}},"key":"FFEE"}]
+"en/symbols/other_stars.js": 
+[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"decimal exponent symbol"}},"key":"23E8"},{"category":"So","mappings":{"default":{"default":"black star"}},"key":"2605"},{"category":"So","mappings":{"default":{"default":"white star"}},"key":"2606"},{"category":"So","mappings":{"default":{"default":"white circle","alternative":"medium white circle"}},"key":"26AA"},{"category":"So","mappings":{"default":{"default":"black circle","alternative":"medium black circle"}},"key":"26AB"},{"category":"So","mappings":{"default":{"default":"white check mark","alternative":"white heavy check mark"}},"key":"2705"},{"category":"So","mappings":{"default":{"default":"check mark"}},"key":"2713"},{"category":"So","mappings":{"default":{"default":"heavy check mark"}},"key":"2714"},{"category":"So","mappings":{"default":{"default":"multiplication x"}},"key":"2715"},{"category":"So","mappings":{"default":{"default":"heavy multiplication x"}},"key":"2716"},{"category":"So","mappings":{"default":{"default":"ballot x"}},"key":"2717"},{"category":"So","mappings":{"default":{"default":"heavy ballot x"}},"key":"2718"},{"category":"So","mappings":{"default":{"default":"open center cross"}},"key":"271B"},{"category":"So","mappings":{"default":{"default":"heavy open center cross"}},"key":"271C"},{"category":"So","mappings":{"default":{"default":"maltese cross"}},"key":"2720"},{"category":"So","mappings":{"default":{"default":"star of david"}},"key":"2721"},{"category":"So","mappings":{"default":{"default":"four teardrop spoked asterisk"}},"key":"2722"},{"category":"So","mappings":{"default":{"default":"four balloon spoked asterisk"}},"key":"2723"},{"category":"So","mappings":{"default":{"default":"heavy four balloon spoked asterisk"}},"key":"2724"},{"category":"So","mappings":{"default":{"default":"four club spoked asterisk"}},"key":"2725"},{"category":"So","mappings":{"default":{"default":"black four pointed star"}},"key":"2726"},{"category":"So","mappings":{"default":{"default":"white four pointed star"}},"key":"2727"},{"category":"So","mappings":{"default":{"default":"sparkles"}},"key":"2728"},{"category":"So","mappings":{"default":{"default":"stress outlined white star"}},"key":"2729"},{"category":"So","mappings":{"default":{"default":"circled white star"}},"key":"272A"},{"category":"So","mappings":{"default":{"default":"open center black star"}},"key":"272B"},{"category":"So","mappings":{"default":{"default":"black center white star"}},"key":"272C"},{"category":"So","mappings":{"default":{"default":"outlined black star"}},"key":"272D"},{"category":"So","mappings":{"default":{"default":"heavy outlined black star"}},"key":"272E"},{"category":"So","mappings":{"default":{"default":"pinwheel star"}},"key":"272F"},{"category":"So","mappings":{"default":{"default":"shadowed white star"}},"key":"2730"},{"category":"So","mappings":{"default":{"default":"heavy asterisk"}},"key":"2731"},{"category":"So","mappings":{"default":{"default":"open center asterisk"}},"key":"2732"},{"category":"So","mappings":{"default":{"default":"eight spoked asterisk"}},"key":"2733"},{"category":"So","mappings":{"default":{"default":"eight pointed black star"}},"key":"2734"},{"category":"So","mappings":{"default":{"default":"eight pointed pinwheel star"}},"key":"2735"},{"category":"So","mappings":{"default":{"default":"six pointed black star"}},"key":"2736"},{"category":"So","mappings":{"default":{"default":"twelve pointed black star"}},"key":"2739"},{"category":"So","mappings":{"default":{"default":"sixteen pointed asterisk"}},"key":"273A"},{"category":"So","mappings":{"default":{"default":"teardrop spoked asterisk"}},"key":"273B"},{"category":"So","mappings":{"default":{"default":"open center teardrop spoked asterisk"}},"key":"273C"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"key":"273D"},{"category":"So","mappings":{"default":{"default":"six petalled black and white florette"}},"key":"273E"},{"category":"So","mappings":{"default":{"default":"black florette"}},"key":"273F"},{"category":"So","mappings":{"default":{"default":"white florette"}},"key":"2740"},{"category":"So","mappings":{"default":{"default":"eight petalled outlined black florette"}},"key":"2741"},{"category":"So","mappings":{"default":{"default":"circled open center eight pointed star"}},"key":"2742"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked pinwheel asterisk"}},"key":"2743"},{"category":"So","mappings":{"default":{"default":"snowflake"}},"key":"2744"},{"category":"So","mappings":{"default":{"default":"tight trifoliate snowflake"}},"key":"2745"},{"category":"So","mappings":{"default":{"default":"heavy chevron snowflake"}},"key":"2746"},{"category":"So","mappings":{"default":{"default":"sparkle"}},"key":"2747"},{"category":"So","mappings":{"default":{"default":"heavy sparkle"}},"key":"2748"},{"category":"So","mappings":{"default":{"default":"balloon spoked asterisk"}},"key":"2749"},{"category":"So","mappings":{"default":{"default":"eight teardrop spoked propeller asterisk"}},"key":"274A"},{"category":"So","mappings":{"default":{"default":"heavy eight teardrop spoked propeller asterisk"}},"key":"274B"},{"category":"So","mappings":{"default":{"default":"cross mark"}},"key":"274C"},{"category":"So","mappings":{"default":{"default":"shadowed white circle"}},"key":"274D"}]
 ,
-"en/math_whitespace.js": 
-[{"locale":"en"},{"category":"Zs","mappings":{"default":{"default":"space"}},"key":"0020"},{"category":"Zs","mappings":{"default":{"default":"no break space","alternative":"non breaking space"}},"key":"00A0"},{"category":"Cf","mappings":{"default":{"default":"soft hyphen"}},"key":"00AD"},{"category":"Zs","mappings":{"default":{"default":"en quad"}},"key":"2000"},{"category":"Zs","mappings":{"default":{"default":"em quad"}},"key":"2001"},{"category":"Zs","mappings":{"default":{"default":"en space"}},"key":"2002"},{"category":"Zs","mappings":{"default":{"default":"em space"}},"key":"2003"},{"category":"Zs","mappings":{"default":{"default":"three per em space"}},"key":"2004"},{"category":"Zs","mappings":{"default":{"default":"four per em space"}},"key":"2005"},{"category":"Zs","mappings":{"default":{"default":"six per em space"}},"key":"2006"},{"category":"Zs","mappings":{"default":{"default":"figure space"}},"key":"2007"},{"category":"Zs","mappings":{"default":{"default":"punctuation space"}},"key":"2008"},{"category":"Zs","mappings":{"default":{"default":"thin space"}},"key":"2009"},{"category":"Zs","mappings":{"default":{"default":"hair space"}},"key":"200A"},{"category":"Cf","mappings":{"default":{"default":"zero width space"}},"key":"200B"},{"category":"Cf","mappings":{"default":{"default":"zero width non joiner"}},"key":"200C"},{"category":"Cf","mappings":{"default":{"default":"zero width joiner"}},"key":"200D"},{"category":"Cf","mappings":{"default":{"default":"left to right mark"}},"key":"200E"},{"category":"Cf","mappings":{"default":{"default":"right to left mark"}},"key":"200F"},{"category":"Zl","mappings":{"default":{"default":"line separator"}},"key":"2028"},{"category":"Zp","mappings":{"default":{"default":"paragraph separator"}},"key":"2029"},{"category":"Cf","mappings":{"default":{"default":"left to right embedding"}},"key":"202A"},{"category":"Cf","mappings":{"default":{"default":"right to left embedding"}},"key":"202B"},{"category":"Cf","mappings":{"default":{"default":"pop directional formatting"}},"key":"202C"},{"category":"Cf","mappings":{"default":{"default":"left to right override"}},"key":"202D"},{"category":"Cf","mappings":{"default":{"default":"right to left override"}},"key":"202E"},{"category":"Zs","mappings":{"default":{"default":"narrow no break space"}},"key":"202F"},{"category":"Zs","mappings":{"default":{"default":"medium mathematical space"}},"key":"205F"},{"category":"Cf","mappings":{"default":{"default":"word joiner"}},"key":"2060"},{"category":"Cf","mappings":{"default":{"default":"function application","short":"of"}},"key":"2061"},{"category":"Cf","mappings":{"default":{"default":"invisible times","short":"times"}},"key":"2062"},{"category":"Cf","mappings":{"default":{"default":"invisible separator","short":"separator"}},"key":"2063"},{"category":"Cf","mappings":{"default":{"default":"invisible plus","short":"plus"}},"key":"2064"},{"category":"Cf","mappings":{"default":{"default":"inhibit symmetric swapping"}},"key":"206A"},{"category":"Cf","mappings":{"default":{"default":"activate symmetric swapping"}},"key":"206B"},{"category":"Cf","mappings":{"default":{"default":"national digit shapes"}},"key":"206E"},{"category":"Cf","mappings":{"default":{"default":"nominal digit shapes"}},"key":"206F"},{"category":"Cf","mappings":{"default":{"default":"zero width no break space","alternative":"byte order mark"}},"key":"FEFF"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation anchor"}},"key":"FFF9"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation separator"}},"key":"FFFA"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation terminator"}},"key":"FFFB"}]
+"en/units/area.js": 
+[{"locale":"en"},{"category":"other","mappings":{"default":{"default":"square"}},"key":"sq","names":["sq","sq."]},{"category":"area","mappings":{"default":{"default":"square inch"}},"key":"sq inch","names":["sq inch","sq. inch."]},{"category":"area","mappings":{"default":{"default":"square rod"}},"key":"sq rd","names":["sq rd","sq. rd."]},{"category":"area","mappings":{"default":{"default":"square foot","plural":"square feet"}},"key":"sq ft","names":["sq ft","sq. ft."]},{"category":"area","mappings":{"default":{"default":"square yard"}},"key":"sq yd","names":["sq yd","sq. yd."]},{"category":"area","mappings":{"default":{"default":"square mile"}},"key":"sq mi","names":["sq mi","sq. mi."]},{"category":"area","mappings":{"default":{"default":"acre"}},"key":"acr","names":["ac","ac.","acr","acr."]},{"category":"area","mappings":{"default":{"default":"hectare"}},"key":"ha","names":["ha"]}]
 ,
-"en/other_stars.js": 
-[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"decimal exponent symbol"}},"key":"23E8"},{"category":"So","mappings":{"default":{"default":"black star"}},"key":"2605"},{"category":"So","mappings":{"default":{"default":"white star"}},"key":"2606"},{"category":"So","mappings":{"default":{"default":"medium white circle","short":"white circle"}},"key":"26AA"},{"category":"So","mappings":{"default":{"default":"medium black circle","short":"black circle"}},"key":"26AB"},{"category":"So","mappings":{"default":{"default":"white heavy check mark","short":"white check"}},"key":"2705"},{"category":"So","mappings":{"default":{"default":"check mark","short":"check"}},"key":"2713"},{"category":"So","mappings":{"default":{"default":"heavy check mark","short":"heavy check"}},"key":"2714"},{"category":"So","mappings":{"default":{"default":"multiplication x"}},"key":"2715"},{"category":"So","mappings":{"default":{"default":"heavy multiplication x"}},"key":"2716"},{"category":"So","mappings":{"default":{"default":"ballot x"}},"key":"2717"},{"category":"So","mappings":{"default":{"default":"heavy ballot x"}},"key":"2718"},{"category":"So","mappings":{"default":{"default":"open center cross"}},"key":"271B"},{"category":"So","mappings":{"default":{"default":"heavy open center cross"}},"key":"271C"},{"category":"So","mappings":{"default":{"default":"maltese cross"}},"key":"2720"},{"category":"So","mappings":{"default":{"default":"star of david"}},"key":"2721"},{"category":"So","mappings":{"default":{"default":"four teardrop spoked asterisk"}},"key":"2722"},{"category":"So","mappings":{"default":{"default":"four balloon spoked asterisk"}},"key":"2723"},{"category":"So","mappings":{"default":{"default":"heavy four balloon spoked asterisk"}},"key":"2724"},{"category":"So","mappings":{"default":{"default":"four club spoked asterisk"}},"key":"2725"},{"category":"So","mappings":{"default":{"default":"black four pointed star"}},"key":"2726"},{"category":"So","mappings":{"default":{"default":"white four pointed star"}},"key":"2727"},{"category":"So","mappings":{"default":{"default":"sparkles"}},"key":"2728"},{"category":"So","mappings":{"default":{"default":"stress outlined white star"}},"key":"2729"},{"category":"So","mappings":{"default":{"default":"circled white star"}},"key":"272A"},{"category":"So","mappings":{"default":{"default":"open center black star"}},"key":"272B"},{"category":"So","mappings":{"default":{"default":"black center white star"}},"key":"272C"},{"category":"So","mappings":{"default":{"default":"outlined black star"}},"key":"272D"},{"category":"So","mappings":{"default":{"default":"heavy outlined black star"}},"key":"272E"},{"category":"So","mappings":{"default":{"default":"pinwheel star"}},"key":"272F"},{"category":"So","mappings":{"default":{"default":"shadowed white star"}},"key":"2730"},{"category":"So","mappings":{"default":{"default":"heavy asterisk"}},"key":"2731"},{"category":"So","mappings":{"default":{"default":"open center asterisk"}},"key":"2732"},{"category":"So","mappings":{"default":{"default":"eight spoked asterisk"}},"key":"2733"},{"category":"So","mappings":{"default":{"default":"eight pointed black star"}},"key":"2734"},{"category":"So","mappings":{"default":{"default":"eight pointed pinwheel star"}},"key":"2735"},{"category":"So","mappings":{"default":{"default":"six pointed black star"}},"key":"2736"},{"category":"So","mappings":{"default":{"default":"twelve pointed black star"}},"key":"2739"},{"category":"So","mappings":{"default":{"default":"sixteen pointed asterisk"}},"key":"273A"},{"category":"So","mappings":{"default":{"default":"teardrop spoked asterisk"}},"key":"273B"},{"category":"So","mappings":{"default":{"default":"open center teardrop spoked asterisk"}},"key":"273C"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"key":"273D"},{"category":"So","mappings":{"default":{"default":"six petalled black and white florette"}},"key":"273E"},{"category":"So","mappings":{"default":{"default":"black florette"}},"key":"273F"},{"category":"So","mappings":{"default":{"default":"white florette"}},"key":"2740"},{"category":"So","mappings":{"default":{"default":"eight petalled outlined black florette"}},"key":"2741"},{"category":"So","mappings":{"default":{"default":"circled open center eight pointed star"}},"key":"2742"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked pinwheel asterisk"}},"key":"2743"},{"category":"So","mappings":{"default":{"default":"snowflake"}},"key":"2744"},{"category":"So","mappings":{"default":{"default":"tight trifoliate snowflake"}},"key":"2745"},{"category":"So","mappings":{"default":{"default":"heavy chevron snowflake"}},"key":"2746"},{"category":"So","mappings":{"default":{"default":"sparkle"}},"key":"2747"},{"category":"So","mappings":{"default":{"default":"heavy sparkle"}},"key":"2748"},{"category":"So","mappings":{"default":{"default":"balloon spoked asterisk"}},"key":"2749"},{"category":"So","mappings":{"default":{"default":"eight teardrop spoked propeller asterisk"}},"key":"274A"},{"category":"So","mappings":{"default":{"default":"heavy eight teardrop spoked propeller asterisk"}},"key":"274B"},{"category":"So","mappings":{"default":{"default":"cross mark"}},"key":"274C"},{"category":"So","mappings":{"default":{"default":"shadowed white circle"}},"key":"274D"}]
+"en/units/currency.js": 
+[{"locale":"en"},{"category":"currency","key":"$","mappings":{"default":{"default":"dollar"}},"names":["$","💲","＄","﹩","USD"]},{"category":"currency","key":"£","mappings":{"default":{"default":"pound"}},"names":["£","￡","GBP"]},{"category":"currency","key":"¥","mappings":{"default":{"default":"yen"}},"names":["¥","￥","JPY"]},{"category":"currency","key":"€","mappings":{"default":{"default":"euro"}},"names":["€","EUR"]},{"category":"currency","key":"₡","mappings":{"default":{"default":"colon"}},"names":["₡","CRC"]},{"category":"currency","key":"₢","mappings":{"default":{"default":"cruzeiro"}},"names":["₢"]},{"category":"currency","key":"₣","mappings":{"default":{"default":"franc"}},"names":["₣"]},{"category":"currency","key":"₤","mappings":{"default":{"default":"lira"}},"names":["₤"]},{"category":"currency","key":"₥","mappings":{"default":{"default":"mill"}},"names":["₥"]},{"category":"currency","key":"₦","mappings":{"default":{"default":"naira"}},"names":["₦","NGN"]},{"category":"currency","key":"₧","mappings":{"default":{"default":"peseta"}},"names":["₧"]},{"category":"currency","key":"₨","mappings":{"default":{"default":"rupee"}},"names":["₨","₹","INR","NPR","PKR","LKR"]},{"category":"currency","key":"₩","mappings":{"default":{"default":"won"}},"names":["₩","￦","KRW"]},{"category":"currency","key":"₪","mappings":{"default":{"default":"sheqel"}},"names":["₪"]},{"category":"currency","key":"₫","mappings":{"default":{"default":"dong"}},"names":["₫"]},{"category":"currency","key":"₭","mappings":{"default":{"default":"kip"}},"names":["₭"]},{"category":"currency","key":"₮","mappings":{"default":{"default":"tugrik"}},"names":["₮"]},{"category":"currency","key":"₯","mappings":{"default":{"default":"drachma"}},"names":["₯"]},{"category":"currency","key":"₰","mappings":{"default":{"default":"Pfennig"}},"names":["₰"]},{"category":"currency","key":"₱","mappings":{"default":{"default":"peso"}},"names":["₱"]},{"category":"currency","key":"₲","mappings":{"default":{"default":"guaranis"}},"names":["₲"]},{"category":"currency","key":"₳","mappings":{"default":{"default":"austral"}},"names":["₳"]},{"category":"currency","key":"₴","mappings":{"default":{"default":"hryvnia"}},"names":["₴","UAH"]},{"category":"currency","key":"₵","mappings":{"default":{"default":"cedis"}},"names":["₵","GHS"]},{"category":"currency","key":"₶","mappings":{"default":{"default":"livre tournois"}},"names":["₶"]},{"category":"currency","key":"₷","mappings":{"default":{"default":"spesmilo"}},"names":["₷"]},{"category":"currency","key":"₸","mappings":{"default":{"default":"tenge"}},"names":["₸","KZT"]},{"category":"currency","key":"₺","mappings":{"default":{"default":"turkish lira"}},"names":["₺","TRY"]},{"category":"currency","key":"元","mappings":{"default":{"default":"yuan"}},"names":["元"]},{"category":"currency","key":"¢","mappings":{"default":{"default":"cent"}},"names":["￠","¢"]}]
 ,
-"en/energy.js": 
-[{"locale":"en"},{"category":"energy","mappings":{"default":{"default":"watts"}},"key":"W","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"kilowatts"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"milliwatts"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"kilowatt hours"}},"key":"kwh","names":["kwh","kWh"]},{"category":"energy","mappings":{"default":{"default":"joules"}},"key":"J","names":["J"]},{"category":"energy","mappings":{"default":{"default":"Newton"}},"key":"N","names":["N"]},{"category":"energy","mappings":{"default":{"default":"amperes"}},"key":"A","names":["A"]},{"category":"energy","mappings":{"default":{"default":"volts"}},"key":"V","names":["V"]},{"category":"energy","mappings":{"default":{"default":"microohm"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"milliohm"}},"key":"mΩ","names":["mΩ"]},{"category":"energy","mappings":{"default":{"default":"ohm"}},"key":"Ω","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"kilohm"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"ohm"}},"key":"Ω","names":["Ω"]},{"category":"energy","mappings":{"default":{"default":"megaohm"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"gigaohm"}},"key":"GΩ","names":["GΩ"]}]
+"en/units/energy.js": 
+[{"locale":"en"},{"category":"energy","mappings":{"default":{"default":"watt"}},"key":"W","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"kilowatt"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"milliwatt"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"kilowatt hour"}},"key":"kwh","names":["kwh","kWh"]},{"category":"energy","mappings":{"default":{"default":"joule"}},"key":"J","names":["J"]},{"category":"energy","mappings":{"default":{"default":"Newton"}},"key":"N","names":["N"]},{"category":"energy","mappings":{"default":{"default":"ampere"}},"key":"A","names":["A"]},{"category":"energy","mappings":{"default":{"default":"volt"}},"key":"V","names":["V"]},{"category":"energy","mappings":{"default":{"default":"microohm"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"milliohm"}},"key":"mΩ","names":["mΩ"]},{"category":"energy","mappings":{"default":{"default":"ohm"}},"key":"Ω","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"kilohm"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"megaohm"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"gigaohm"}},"key":"GΩ","names":["GΩ"]}]
 ,
-"en/length.js": 
-[{"locale":"en"},{"category":"Length","mappings":{"default":{"default":"millimeters"}},"key":"mm","names":["mm"]},{"category":"Length","mappings":{"default":{"default":"centimeters"}},"key":"cm","names":["cm"]},{"category":"Length","mappings":{"default":{"default":"meters"}},"key":"m","names":["m"]},{"category":"Length","mappings":{"default":{"default":"kilometers"}},"key":"km","names":["km"]},{"category":"Length","mappings":{"default":{"default":"feet"}},"key":"ft","names":["ft","ft."]},{"category":"Length","mappings":{"default":{"default":"inches"}},"key":"in","names":["in","in."]},{"category":"Length","mappings":{"default":{"default":"miles"}},"key":"mi","names":["mi","mi."]},{"category":"Length","mappings":{"default":{"default":"yards"}},"key":"yd","names":["yd","yd."]},{"category":"","mappings":{"default":{"default":"nautical miles"}},"key":"n.m.","names":["n.m."]}]
+"en/units/length.js": 
+[{"locale":"en"},{"category":"length","mappings":{"default":{"default":"foot"}},"key":"ft","names":["ft","ft."]},{"category":"length","mappings":{"default":{"default":"inch"}},"key":"in","names":["in","in."]},{"category":"length","mappings":{"default":{"default":"mile"}},"key":"mi","names":["mi","mi."]},{"category":"length","mappings":{"default":{"default":"yard"}},"key":"yd","names":["yd","yd."]},{"category":"length","mappings":{"default":{"default":"link"}},"key":"link","names":["li","li."]},{"category":"length","mappings":{"default":{"default":"rod"}},"key":"rod","names":["rd","rd."]},{"category":"length","mappings":{"default":{"default":"chain"}},"key":"chain","names":["ch","ch."]},{"category":"length","mappings":{"default":{"default":"furlong"}},"key":"furlong","names":["fur","fur."]},{"category":"length","mappings":{"default":{"default":"nautical mile"}},"key":"n.m.","names":["n.m."]},{"category":"length","mappings":{"default":{"default":"millimeter"}},"key":"mm","names":["mm"]},{"category":"length","mappings":{"default":{"default":"centimeter"}},"key":"cm","names":["cm"]},{"category":"length","mappings":{"default":{"default":"meter"}},"key":"m","names":["m"]},{"category":"length","mappings":{"default":{"default":"kilometer"}},"key":"km","names":["km"]}]
 ,
-"en/memory.js": 
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"bits"}},"key":"b","names":["b"]},{"category":"","mappings":{"default":{"default":"bytes"}},"key":"B","names":["B"]},{"category":"","mappings":{"default":{"default":"kilobytes"}},"key":"KB","names":["KB"]},{"category":"","mappings":{"default":{"default":"megabytes"}},"key":"MB","names":["MB"]},{"category":"","mappings":{"default":{"default":"gigabytes"}},"key":"GB","names":["GB"]},{"category":"","mappings":{"default":{"default":"terabytes"}},"key":"TB","names":["TB"]}]
+"en/units/memory.js": 
+[{"locale":"en"},{"category":"memory","mappings":{"default":{"default":"bit"}},"key":"b","names":["b"]},{"category":"memory","mappings":{"default":{"default":"byte"}},"key":"B","names":["B"]},{"category":"memory","mappings":{"default":{"default":"kilobyte"}},"key":"KB","names":["KB"]},{"category":"memory","mappings":{"default":{"default":"megabyte"}},"key":"MB","names":["MB"]},{"category":"memory","mappings":{"default":{"default":"gigabyte"}},"key":"GB","names":["GB"]},{"category":"memory","mappings":{"default":{"default":"terabyte"}},"key":"TB","names":["TB"]}]
 ,
-"en/other.js": 
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"dozen"}},"key":"doz","names":["doz","doz.","dz","dz."]},{"category":"","mappings":{"default":{"default":"square"}},"key":"sq","names":["sq","sq."]},{"category":"","mappings":{"default":{"default":"hectare"}},"key":"ha","names":["ha"]}]
+"en/units/other.js": 
+[{"locale":"en"},{"category":"other","mappings":{"default":{"default":"dozen"}},"key":"doz","names":["doz","doz.","dz","dz."]}]
 ,
-"en/speed.js": 
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"knot"}},"key":"kt","names":["kt","kt."]},{"category":"","mappings":{"default":{"default":"miles per hour"}},"key":"mph","names":["mph"]},{"category":"","mappings":{"default":{"default":"revolutions per minute"}},"key":"rpm","names":["rpm"]},{"category":"","mappings":{"default":{"default":"kilometers per hour"}},"key":"kmh","names":["kmh"]}]
+"en/units/speed.js": 
+[{"locale":"en"},{"category":"speed","mappings":{"default":{"default":"knot"}},"key":"kt","names":["kt","kt."]},{"category":"speed","mappings":{"default":{"default":"miles per hour"}},"key":"mph","names":["mph"]},{"category":"speed","mappings":{"default":{"default":"revolutions per minute"}},"key":"rpm","names":["rpm"]},{"category":"speed","mappings":{"default":{"default":"kilometers per hour"}},"key":"kmh","names":["kmh"]}]
 ,
-"en/temperature.js": 
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"Fahrenheit"}},"key":"F","names":["F","F.","°F"]},{"category":"","mappings":{"default":{"default":"Celsius","alternative":"Centigrade"}},"key":"C","names":["C","°C"]},{"category":"","mappings":{"default":{"default":"Kelvin"}},"key":"K","names":["K","°K"]}]
+"en/units/temperature.js": 
+[{"locale":"en"},{"category":"temperature","mappings":{"default":{"default":"Fahrenheit"}},"key":"F","names":["F","F.","°F"]},{"category":"temperature","mappings":{"default":{"default":"Celsius","alternative":"Centigrade"}},"key":"C","names":["C","°C"]},{"category":"temperature","mappings":{"default":{"default":"Kelvin"}},"key":"K","names":["K","°K"]}]
 ,
-"en/time.js": 
-[{"locale":"en"},{"category":"time","mappings":{"default":{"default":"nanoseconds"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"microseconds"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"milliseconds"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"seconds"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"minutes"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"hours"}},"key":"h","names":["h","hr"]}]
+"en/units/time.js": 
+[{"locale":"en"},{"category":"time","mappings":{"default":{"default":"nanosecond"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"microsecond"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"millisecond"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"second"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"minute"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"hour"}},"key":"h","names":["h","hr"]}]
 ,
-"en/volume.js": 
-[{"locale":"en"},{"category":"volume","mappings":{"default":{"default":"barrels"}},"key":"bbl","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"cubics"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"fluid ounces"}},"key":"fl. oz.","names":["fl. oz."]},{"category":"volume","mappings":{"default":{"default":"gallons"}},"key":"gal","names":["gal","gal."]},{"category":"volume","mappings":{"default":{"default":"pints"}},"key":"pt","names":["pt","pt."]},{"category":"volume","mappings":{"default":{"default":"quarts"}},"key":"qt","names":["qt","qt."]},{"category":"volume","mappings":{"default":{"default":"tablespoons"}},"key":"tbsp","names":["tbsp","tbsp."]},{"category":"volume","mappings":{"default":{"default":"teaspoons"}},"key":"tsp","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"cubic centimeters"}},"key":"cc","names":["cc"]},{"category":"volume","mappings":{"default":{"default":"kiloliters"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"liters"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"milliliters"}},"key":"ml","names":["ml"]}]
+"en/units/volume.js": 
+[{"locale":"en"},{"category":"volume","mappings":{"default":{"default":"cubic"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"cubic inch"}},"key":"cu inch","names":["cu in","cu. in."]},{"category":"volume","mappings":{"default":{"default":"cubic foot","plural":"cubic feet"}},"key":"cu ft","names":["cu ft","cu. ft."]},{"category":"volume","mappings":{"default":{"default":"cubic yard"}},"key":"cu yd","names":["cu yd","cu. yd."]},{"category":"volume","mappings":{"default":{"default":"barrel"}},"key":"bbl","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"fluid ounce"}},"key":"fl. oz.","names":["fl. oz.","fl oz"]},{"category":"volume","mappings":{"default":{"default":"gallon"}},"key":"gal","names":["gal","gal."]},{"category":"volume","mappings":{"default":{"default":"pint"}},"key":"pt","names":["pt","pt."]},{"category":"volume","mappings":{"default":{"default":"quart"}},"key":"qt","names":["qt","qt."]},{"category":"volume","mappings":{"default":{"default":"fluid dram"}},"key":"fluid dram","names":["fl dr","fl. dr."]},{"category":"volume","mappings":{"default":{"default":"tablespoon"}},"key":"tbsp","names":["tbsp","tbsp.","Tbsp","Tbsp."]},{"category":"volume","mappings":{"default":{"default":"teaspoon"}},"key":"tsp","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"cup"}},"key":"cup","names":["cp","cp."]},{"category":"volume","mappings":{"default":{"default":"cubic centimeter"}},"key":"cc","names":["cc","ccm"]},{"category":"volume","mappings":{"default":{"default":"kiloliter"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"liter"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"milliliter"}},"key":"ml","names":["ml"]}]
 ,
-"en/weight.js": 
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"pounds"}},"key":"lb","names":["lb","lb."]},{"category":"","mappings":{"default":{"default":"long tons"}},"key":"LT","names":["LT","L.T."]},{"category":"","mappings":{"default":{"default":"ounces"}},"key":"oz","names":["oz","oz."]},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"micrograms"}}},{"category":"","mappings":{"default":{"default":"grams"}},"key":"gr","names":["g","gr"]},{"category":"","mappings":{"default":{"default":"kilograms"}},"key":"kg","names":["kg"]},{"category":"","mappings":{"default":{"default":"micrograms"}},"key":"mcg","names":["mg","µg"]},{"category":"","mappings":{"default":{"default":"milligrams"}},"key":"mg","names":["mg"]},{"category":"","mappings":{"default":{"default":"tons"}},"key":"t","names":["t","T"]}]
+"en/units/weight.js": 
+[{"locale":"en"},{"category":"weight","mappings":{"default":{"default":"dram"}},"key":"dram","names":["dr","dr."]},{"category":"weight","mappings":{"default":{"default":"ounce"}},"key":"oz","names":["oz","oz."]},{"category":"weight","mappings":{"default":{"default":"pound"}},"key":"lb","names":["lb","lb."]},{"category":"weight","mappings":{"default":{"default":"stone"}},"key":"st","names":["st","st."]},{"category":"weight","mappings":{"default":{"default":"quarter"}},"key":"qtr","names":["qtr","qtr."]},{"category":"weight","mappings":{"default":{"default":"hundredweight"}},"key":"cwt","names":["cwt","cwt."]},{"category":"weight","mappings":{"default":{"default":"long ton"}},"key":"LT","names":["LT","L.T."]},{"category":"weight","mappings":{"default":{"default":"gram"}},"key":"gr","names":["g","gr"]},{"category":"weight","mappings":{"default":{"default":"kilogram"}},"key":"kg","names":["kg"]},{"category":"weight","mappings":{"default":{"default":"microgram"}},"key":"mcg","names":["mcg","µg"]},{"category":"weight","mappings":{"default":{"default":"milligram"}},"key":"mg","names":["mg"]},{"category":"weight","mappings":{"default":{"default":"ton"}},"key":"t","names":["t","T"]}]
 ,
-"es/algebra.js": 
+"es/functions/algebra.js": 
 [{"locale":"es"},{"key":"deg","names":["deg"],"mappings":{"default":{"default":"grados"}},"category":"Algebra"},{"key":"det","names":["det"],"mappings":{"default":{"default":"determinante"}},"category":"Algebra"},{"key":"dim","names":["dim"],"mappings":{"default":{"default":"dimensión"}},"category":"Algebra"},{"key":"hom","names":["hom","Hom"],"mappings":{"default":{"default":"homomorfismo"}},"category":"Algebra"},{"key":"ker","names":["ker"],"mappings":{"default":{"default":"kernel"}},"category":"Algebra"},{"key":"Tr","names":["Tr","tr"],"mappings":{"default":{"default":"traza"}},"category":"Algebra"}]
 ,
-"es/elementary.js": 
-[{"locale":"es"},{"key":"log","names":["log"],"mappings":{"default":{"default":"logaritmo"}},"category":"Logarithm"},{"key":"ln","names":["ln"],"mappings":{"default":{"default":"logaritmo neperiano"}},"category":"Logarithm"},{"key":"lg","names":["lg"],"mappings":{"default":{"default":"logaritmo base 10"}},"category":"Logarithm"},{"key":"exp","names":["exp","expt"],"mappings":{"default":{"default":"exponente"}},"category":"Elementary"},{"key":"gcd","names":["gcd"],"mappings":{"default":{"default":"MCD"}},"category":"Elementary"},{"key":"lcm","names":["lcm"],"mappings":{"default":{"default":"mcm"}},"category":"Elementary"},{"key":"arg","names":["arg"],"mappings":{"default":{"default":"argumento"}},"category":"Complex"},{"key":"im","names":["im"],"mappings":{"default":{"default":"parte imaginaria"}},"category":"Complex"},{"key":"re","names":["re"],"mappings":{"default":{"default":"residuo"}},"category":"Complex"},{"key":"inf","names":["inf"],"mappings":{"default":{"default":"extremo inferior"}},"category":"Limits"},{"key":"lim","names":["lim"],"mappings":{"default":{"default":"límite"}},"category":"Limits"},{"key":"max","names":["max"],"mappings":{"default":{"default":"máximo"}},"category":"Limits"},{"key":"min","names":["min"],"mappings":{"default":{"default":"mínimo"}},"category":"Limits"},{"key":"sup","names":["sup"],"mappings":{"default":{"default":"superior"}},"category":"Limits"},{"key":"lim inf","names":["lim inf","liminf"],"mappings":{"default":{"default":"límite inferior"}},"category":"Limits"},{"key":"lim sup","names":["lim sup","limsup"],"mappings":{"default":{"default":"límite superior"}},"category":"Limits"},{"key":"injlim","names":["injlim","inj lim"],"mappings":{"default":{"default":"límite directo"}},"category":"Limits"},{"key":"projlim","names":["projlim","proj lim"],"mappings":{"default":{"default":"límite inverso"}},"category":"Limits"},{"key":"mod","names":["mod"],"mappings":{"default":{"default":"módulo"}},"category":"Elementary"},{"key":"Pr","names":["Pr"],"mappings":{"default":{"default":"probabilidad"}},"category":"Probability"}]
+"es/functions/elementary.js": 
+[{"locale":"es"},{"key":"log","names":["log"],"mappings":{"default":{"default":"logaritmo"}},"category":"Logarithm"},{"key":"ln","names":["ln"],"mappings":{"default":{"default":"logaritmo neperiano"}},"category":"Logarithm"},{"key":"lg","names":["lg"],"mappings":{"default":{"default":"logaritmo base 10"}},"category":"Logarithm"},{"key":"exp","names":["exp","expt"],"mappings":{"default":{"default":"exponente"}},"category":"Elementary"},{"key":"gcd","names":["gcd","mcd","MCD"],"mappings":{"default":{"default":"MCD"}},"category":"Elementary"},{"key":"lcm","names":["lcm","mcm","MCM"],"mappings":{"default":{"default":"mcm"}},"category":"Elementary"},{"key":"arg","names":["arg"],"mappings":{"default":{"default":"argumento"}},"category":"Complex"},{"key":"im","names":["im"],"mappings":{"default":{"default":"parte imaginaria"}},"category":"Complex"},{"key":"re","names":["re"],"mappings":{"default":{"default":"residuo"}},"category":"Complex"},{"key":"inf","names":["inf"],"mappings":{"default":{"default":"extremo inferior"}},"category":"Limits"},{"key":"lim","names":["lim"],"mappings":{"default":{"default":"límite"}},"category":"Limits"},{"key":"max","names":["max"],"mappings":{"default":{"default":"máximo"}},"category":"Limits"},{"key":"min","names":["min"],"mappings":{"default":{"default":"mínimo"}},"category":"Limits"},{"key":"sup","names":["sup"],"mappings":{"default":{"default":"superior"}},"category":"Limits"},{"key":"lim inf","names":["lim inf","liminf"],"mappings":{"default":{"default":"límite inferior"}},"category":"Limits"},{"key":"lim sup","names":["lim sup","limsup"],"mappings":{"default":{"default":"límite superior"}},"category":"Limits"},{"key":"injlim","names":["injlim","inj lim"],"mappings":{"default":{"default":"límite directo"}},"category":"Limits"},{"key":"projlim","names":["projlim","proj lim"],"mappings":{"default":{"default":"límite inverso"}},"category":"Limits"},{"key":"mod","names":["mod"],"mappings":{"default":{"default":"módulo"}},"category":"Elementary"},{"key":"Pr","names":["Pr"],"mappings":{"default":{"default":"probabilidad"}},"category":"Probability"}]
 ,
-"es/hyperbolic.js": 
+"es/functions/hyperbolic.js": 
 [{"locale":"es"},{"key":"cosh","names":["cosh"],"mappings":{"default":{"default":"coseno hiperbólico"}},"category":"Hyperbolic"},{"key":"coth","names":["coth"],"mappings":{"default":{"default":"cotangente hiperbólica"}},"category":"Hyperbolic"},{"key":"csch","names":["csch"],"mappings":{"default":{"default":"cosecante hiperbólica"}},"category":"Hyperbolic"},{"key":"sech","names":["sech"],"mappings":{"default":{"default":"secante hiperbólica"}},"category":"Hyperbolic"},{"key":"sinh","names":["sinh"],"mappings":{"default":{"default":"seno hiperbólico"}},"category":"Hyperbolic"},{"key":"tanh","names":["tanh"],"mappings":{"default":{"default":"tangente hiperbólica"}},"category":"Hyperbolic"},{"key":"arcosh","names":["arcosh","arccosh"],"mappings":{"default":{"default":"area coseno hiperbólico"}},"category":"Area"},{"key":"arcoth","names":["arcoth","arccoth"],"mappings":{"default":{"default":"area cotangente hiperbólica"}},"category":"Area"},{"key":"arcsch","names":["arcsch","arccsch"],"mappings":{"default":{"default":"area cosecante hiperbólica"}},"category":"Area"},{"key":"arsech","names":["arsech","arcsech"],"mappings":{"default":{"default":"area secante hiperbólica"}},"category":"Area"},{"key":"arsinh","names":["arsinh","arcsinh"],"mappings":{"default":{"default":"area seno hiperbólico"}},"category":"Area"},{"key":"artanh","names":["artanh","arctanh"],"mappings":{"default":{"default":"area tangente hiperbólica"}},"category":"Area"}]
 ,
-"es/trigonometry.js": 
+"es/functions/trigonometry.js": 
 [{"locale":"es"},{"key":"cos","names":["cos","cosine"],"mappings":{"default":{"default":"coseno"}},"category":"Trigonometric"},{"key":"cot","names":["cot"],"mappings":{"default":{"default":"cotangente"}},"category":"Trigonometric"},{"key":"csc","names":["csc"],"mappings":{"default":{"default":"cosecante"}},"category":"Trigonometric"},{"key":"sec","names":["sec"],"mappings":{"default":{"default":"secant"}},"category":"Trigonometric"},{"key":"sin","names":["sin","sine","sen"],"mappings":{"default":{"default":"seno"}},"category":"Trigonometric"},{"key":"tan","names":["tan"],"mappings":{"default":{"default":"tangente"}},"category":"Trigonometric"},{"key":"arccos","names":["arccos"],"mappings":{"default":{"default":"arco coseno"}},"category":"Cyclometric"},{"key":"arccot","names":["arccot"],"mappings":{"default":{"default":"arco cotangente"}},"category":"Cyclometric"},{"key":"arccsc","names":["arccsc"],"mappings":{"default":{"default":"arco cosecante"}},"category":"Cyclometric"},{"key":"arcsec","names":["arcsec"],"mappings":{"default":{"default":"arco secante"}},"category":"Cyclometric"},{"key":"arcsin","names":["arcsin"],"mappings":{"default":{"default":"arco seno"}},"category":"Cyclometric"},{"key":"arctan","names":["arctan"],"mappings":{"default":{"default":"arco tangente"}},"category":"Cyclometric"}]
 ,
-"es/greek-capital.js": 
-[{"locale":"es"},{"key":"0391","mappings":{"default":{"default":"mayúscula Alfa"}},"category":"Lu"},{"key":"0392","mappings":{"default":{"default":"mayúscula Beta"}},"category":"Lu"},{"key":"0393","mappings":{"default":{"default":"mayúscula Gamma"}},"category":"Lu"},{"key":"0394","mappings":{"default":{"default":"mayúscula Delta"}},"category":"Lu"},{"key":"0395","mappings":{"default":{"default":"mayúscula Épsilon"}},"category":"Lu"},{"key":"0396","mappings":{"default":{"default":"mayúscula Zeta"}},"category":"Lu"},{"key":"0397","mappings":{"default":{"default":"mayúscula Eta"}},"category":"Lu"},{"key":"0398","mappings":{"default":{"default":"mayúscula Theta"}},"category":"Lu"},{"key":"0399","mappings":{"default":{"default":"mayúscula Iota"}},"category":"Lu"},{"key":"039A","mappings":{"default":{"default":"mayúscula Kappa"}},"category":"Lu"},{"key":"039B","mappings":{"default":{"default":"mayúscula Lambda"}},"category":"Lu"},{"key":"039C","mappings":{"default":{"default":"mayúscula Mi"}},"category":"Lu"},{"key":"039D","mappings":{"default":{"default":"mayúscula Ni"}},"category":"Lu"},{"key":"039E","mappings":{"default":{"default":"mayúscula Xi"}},"category":"Lu"},{"key":"039F","mappings":{"default":{"default":"mayúscula Ómicron"}},"category":"Lu"},{"key":"03A0","mappings":{"default":{"default":"mayúscula Pi"}},"category":"Lu"},{"key":"03A1","mappings":{"default":{"default":"mayúscula Rho"}},"category":"Lu"},{"key":"03A3","mappings":{"default":{"default":"mayúscula Sigma"}},"category":"Lu"},{"key":"03A4","mappings":{"default":{"default":"mayúscula Tau"}},"category":"Lu"},{"key":"03A5","mappings":{"default":{"default":"mayúscula Ípsilon"}},"category":"Lu"},{"key":"03A6","mappings":{"default":{"default":"mayúscula Phi"}},"category":"Lu"},{"key":"03A7","mappings":{"default":{"default":"mayúscula Ji"}},"category":"Lu"},{"key":"03A8","mappings":{"default":{"default":"mayúscula Psi"}},"category":"Lu"},{"key":"03A9","mappings":{"default":{"default":"mayúscula Omega"}},"category":"Lu"}]
+"es/symbols/digits_rest.js": 
+[{"locale":"es"},{"category":"No","mappings":{"default":{"default":"al cuadrado"},"mathspeak":{"default":"al cuadrado"},"clearspeak":{"default":"al cuadrado"}},"key":"00B2"},{"category":"No","mappings":{"default":{"default":"al cubo"},"mathspeak":{"default":"al cubo"},"clearspeak":{"default":"al cubo"}},"key":"00B3"},{"category":"No","mappings":{"default":{"default":"un cuarto"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"un medio"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"tres cuartos"}},"key":"00BE"},{"category":"No","key":"2150","mappings":{"default":{"default":"Vulgar Fracción Un Séptimo"}}},{"category":"No","key":"2151","mappings":{"default":{"default":"Vulgar Fracción Un Noveno"}}},{"category":"No","key":"2152","mappings":{"default":{"default":"Vulgar Fracción Un Décimo"}}},{"category":"No","key":"2153","mappings":{"default":{"default":"Vulgar Fracción Un Tercero"}}},{"category":"No","key":"2154","mappings":{"default":{"default":"Fracción vulgar dos tercios"}}},{"category":"No","key":"2155","mappings":{"default":{"default":"Vulgar Fraction One Fifth"}}},{"category":"No","key":"2156","mappings":{"default":{"default":"Fracción vulgar dos quintos"}}},{"category":"No","key":"2157","mappings":{"default":{"default":"Fracción vulgar tres quintos"}}},{"category":"No","key":"2158","mappings":{"default":{"default":"Fracción vulgar cuatro quintos"}}},{"category":"No","key":"2159","mappings":{"default":{"default":"Vulgar Fracción Un Sexto"}}},{"category":"No","key":"215A","mappings":{"default":{"default":"Vulgar fracción cinco sextos"}}},{"category":"No","key":"215B","mappings":{"default":{"default":"Vulgar Fracción Un Octavo"}}},{"category":"No","key":"215C","mappings":{"default":{"default":"Fracción vulgar tres octavos"}}},{"category":"No","key":"215D","mappings":{"default":{"default":"Fracción vulgar cinco octavos"}}},{"category":"No","key":"215E","mappings":{"default":{"default":"Fracción vulgar siete octavos"}}},{"category":"No","key":"215F","mappings":{"default":{"default":"Numerador de fracciones uno"}}},{"category":"No","key":"2189","mappings":{"default":{"default":"Vulgar Fraction Zero Thirds"}}},{"category":"No","key":"3248","mappings":{"default":{"default":"Número diez en un círculo en la Plaza Negra"}}},{"category":"No","key":"3249","mappings":{"default":{"default":"Número veinte en un círculo en la Plaza Negra"}}},{"category":"No","key":"324A","mappings":{"default":{"default":"Número circundado treinta en cuadrado negro"}}},{"category":"No","key":"324B","mappings":{"default":{"default":"Número circundado Cuarenta en cuadrado negro"}}},{"category":"No","key":"324C","mappings":{"default":{"default":"Círculo número cincuenta en la plaza negra"}}},{"category":"No","key":"324D","mappings":{"default":{"default":"Círculo número sesenta en la plaza negra"}}},{"category":"No","key":"324E","mappings":{"default":{"default":"Número setenta en un círculo en la Plaza Negra"}}},{"category":"No","key":"324F","mappings":{"default":{"default":"Círculo número ochenta en cuadrado negro"}}}]
 ,
-"es/greek-mathfonts-bold.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Alfa"}},"key":"1D6A8"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Beta"}},"key":"1D6A9"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Gamma"}},"key":"1D6AA"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Delta"}},"key":"1D6AB"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Épsilon"}},"key":"1D6AC"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Zeta"}},"key":"1D6AD"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Eta"}},"key":"1D6AE"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Theta"}},"key":"1D6AF"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Iota"}},"key":"1D6B0"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Kappa"}},"key":"1D6B1"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Lambda"}},"key":"1D6B2"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Mi"}},"key":"1D6B3"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ni"}},"key":"1D6B4"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Xi"}},"key":"1D6B5"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ómicron"}},"key":"1D6B6"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Pi"}},"key":"1D6B7"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Rho"}},"key":"1D6B8"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Sigma"}},"key":"1D6BA"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Tau"}},"key":"1D6BB"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ípsilon"}},"key":"1D6BC"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Phi"}},"key":"1D6BD"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ji"}},"key":"1D6BE"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Psi"}},"key":"1D6BF"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Omega"}},"key":"1D6C0"},{"category":"Ll","mappings":{"default":{"default":"negrita alfa"}},"key":"1D6C2"},{"category":"Ll","mappings":{"default":{"default":"negrita beta"}},"key":"1D6C3"},{"category":"Ll","mappings":{"default":{"default":"negrita gamma"}},"key":"1D6C4"},{"category":"Ll","mappings":{"default":{"default":"negrita delta"}},"key":"1D6C5"},{"category":"Ll","mappings":{"default":{"default":"negrita épsilon"}},"key":"1D6C6"},{"category":"Ll","mappings":{"default":{"default":"negrita zeta"}},"key":"1D6C7"},{"category":"Ll","mappings":{"default":{"default":"negrita eta"}},"key":"1D6C8"},{"category":"Ll","mappings":{"default":{"default":"negrita theta"}},"key":"1D6C9"},{"category":"Ll","mappings":{"default":{"default":"negrita iota"}},"key":"1D6CA"},{"category":"Ll","mappings":{"default":{"default":"negrita kappa"}},"key":"1D6CB"},{"category":"Ll","mappings":{"default":{"default":"negrita lambda"}},"key":"1D6CC"},{"category":"Ll","mappings":{"default":{"default":"negrita mi"}},"key":"1D6CD"},{"category":"Ll","mappings":{"default":{"default":"negrita ni"}},"key":"1D6CE"},{"category":"Ll","mappings":{"default":{"default":"negrita xi"}},"key":"1D6CF"},{"category":"Ll","mappings":{"default":{"default":"negrita ómicron"}},"key":"1D6D0"},{"category":"Ll","mappings":{"default":{"default":"negrita pi"}},"key":"1D6D1"},{"category":"Ll","mappings":{"default":{"default":"negrita rho"}},"key":"1D6D2"},{"category":"Ll","mappings":{"default":{"default":"negrita final sigma"}},"key":"1D6D3"},{"category":"Ll","mappings":{"default":{"default":"negrita sigma"}},"key":"1D6D4"},{"category":"Ll","mappings":{"default":{"default":"negrita tau"}},"key":"1D6D5"},{"category":"Ll","mappings":{"default":{"default":"negrita ípsilon"}},"key":"1D6D6"},{"category":"Ll","mappings":{"default":{"default":"negrita phi"}},"key":"1D6D7"},{"category":"Ll","mappings":{"default":{"default":"negrita ji"}},"key":"1D6D8"},{"category":"Ll","mappings":{"default":{"default":"negrita psi"}},"key":"1D6D9"},{"category":"Ll","mappings":{"default":{"default":"negrita omega"}},"key":"1D6DA"}]
+"es/symbols/greek-rest.js": 
+[{"locale":"es"},{"category":"Lu","key":"0394","mappings":{"clearspeak":{"default":"triangle","TriangleSymbol_Delta":"cap Delta"}}}]
 ,
-"es/greek-mathfonts-italic.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Alfa"}},"key":"1D6E2"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Beta"}},"key":"1D6E3"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Gamma"}},"key":"1D6E4"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Delta"}},"key":"1D6E5"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Épsilon"}},"key":"1D6E6"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Zeta"}},"key":"1D6E7"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Eta"}},"key":"1D6E8"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Theta"}},"key":"1D6E9"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Iota"}},"key":"1D6EA"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Kappa"}},"key":"1D6EB"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Lambda"}},"key":"1D6EC"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Mi"}},"key":"1D6ED"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ni"}},"key":"1D6EE"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Xi"}},"key":"1D6EF"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ómicron"}},"key":"1D6F0"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Pi"}},"key":"1D6F1"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Rho"}},"key":"1D6F2"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Sigma"}},"key":"1D6F4"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Tau"}},"key":"1D6F5"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ípsilon"}},"key":"1D6F6"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Phi"}},"key":"1D6F7"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ji"}},"key":"1D6F8"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Psi"}},"key":"1D6F9"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Omega"}},"key":"1D6FA"},{"category":"Ll","mappings":{"default":{"default":"cursiva alfa"}},"key":"1D6FC"},{"category":"Ll","mappings":{"default":{"default":"cursiva beta"}},"key":"1D6FD"},{"category":"Ll","mappings":{"default":{"default":"cursiva gamma"}},"key":"1D6FE"},{"category":"Ll","mappings":{"default":{"default":"cursiva delta"}},"key":"1D6FF"},{"category":"Ll","mappings":{"default":{"default":"cursiva épsilon"}},"key":"1D700"},{"category":"Ll","mappings":{"default":{"default":"cursiva zeta"}},"key":"1D701"},{"category":"Ll","mappings":{"default":{"default":"cursiva eta"}},"key":"1D702"},{"category":"Ll","mappings":{"default":{"default":"cursiva theta"}},"key":"1D703"},{"category":"Ll","mappings":{"default":{"default":"cursiva iota"}},"key":"1D704"},{"category":"Ll","mappings":{"default":{"default":"cursiva kappa"}},"key":"1D705"},{"category":"Ll","mappings":{"default":{"default":"cursiva lambda"}},"key":"1D706"},{"category":"Ll","mappings":{"default":{"default":"cursiva mi"}},"key":"1D707"},{"category":"Ll","mappings":{"default":{"default":"cursiva ni"}},"key":"1D708"},{"category":"Ll","mappings":{"default":{"default":"cursiva xi"}},"key":"1D709"},{"category":"Ll","mappings":{"default":{"default":"cursiva ómicron"}},"key":"1D70A"},{"category":"Ll","mappings":{"default":{"default":"cursiva pi"}},"key":"1D70B"},{"category":"Ll","mappings":{"default":{"default":"cursiva rho"}},"key":"1D70C"},{"category":"Ll","mappings":{"default":{"default":"cursiva final sigma"}},"key":"1D70D"},{"category":"Ll","mappings":{"default":{"default":"cursiva sigma"}},"key":"1D70E"},{"category":"Ll","mappings":{"default":{"default":"cursiva tau"}},"key":"1D70F"},{"category":"Ll","mappings":{"default":{"default":"cursiva ípsilon"}},"key":"1D710"},{"category":"Ll","mappings":{"default":{"default":"cursiva phi"}},"key":"1D711"},{"category":"Ll","mappings":{"default":{"default":"cursiva ji"}},"key":"1D712"},{"category":"Ll","mappings":{"default":{"default":"cursiva psi"}},"key":"1D713"},{"category":"Ll","mappings":{"default":{"default":"cursiva omega"}},"key":"1D714"}]
+"es/symbols/greek-scripts.js": 
+[{"locale":"es"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"pequeño mayúscula gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"pequeña mayúscula lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"pequeña mayúscula Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"pequeña mayúscula Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"pequeña mayúscula Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"modificador de pequeño gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"modificador de pequeño phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"subscripción pequeña beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"subíndice pequeña gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"subíndice rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"subíndice phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"subscripción chi"}}}]
 ,
-"es/greek-mathfonts-sans-serif-bold.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Alfa"}},"key":"1D756"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Beta"}},"key":"1D757"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Gamma"}},"key":"1D758"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Delta"}},"key":"1D759"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Épsilon"}},"key":"1D75A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Zeta"}},"key":"1D75B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Eta"}},"key":"1D75C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Theta"}},"key":"1D75D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Iota"}},"key":"1D75E"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Kappa"}},"key":"1D75F"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Lambda"}},"key":"1D760"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Mi"}},"key":"1D761"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ni"}},"key":"1D762"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Xi"}},"key":"1D763"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ómicron"}},"key":"1D764"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Pi"}},"key":"1D765"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Rho"}},"key":"1D766"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Sigma"}},"key":"1D768"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Tau"}},"key":"1D769"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ípsilon"}},"key":"1D76A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Phi"}},"key":"1D76B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ji"}},"key":"1D76C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Psi"}},"key":"1D76D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Omega"}},"key":"1D76E"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita alfa"}},"key":"1D770"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita beta"}},"key":"1D771"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita gamma"}},"key":"1D772"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita delta"}},"key":"1D773"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita épsilon"}},"key":"1D774"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita zeta"}},"key":"1D775"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita eta"}},"key":"1D776"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita theta"}},"key":"1D777"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita iota"}},"key":"1D778"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita kappa"}},"key":"1D779"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita lambda"}},"key":"1D77A"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita mi"}},"key":"1D77B"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ni"}},"key":"1D77C"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita xi"}},"key":"1D77D"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ómicron"}},"key":"1D77E"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita pi"}},"key":"1D77F"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita rho"}},"key":"1D780"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita final sigma"}},"key":"1D781"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita sigma"}},"key":"1D782"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita tau"}},"key":"1D783"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ípsilon"}},"key":"1D784"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita phi"}},"key":"1D785"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ji"}},"key":"1D786"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita psi"}},"key":"1D787"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita omega"}},"key":"1D788"}]
+"es/symbols/greek-symbols.js": 
+[{"locale":"es"},{"key":"03D0","mappings":{"default":{"default":"símbolo beta"}},"category":"Ll"},{"key":"03D7","mappings":{"default":{"default":"símbolo kai griego"}},"category":"Ll"},{"key":"03F6","mappings":{"default":{"default":"épsilon invertido"}},"category":"Sm"},{"category":"Lu","key":"1D7CA","mappings":{"default":{"default":"Matemática Bold Capital Digamma"}}},{"category":"Ll","key":"1D7CB","mappings":{"default":{"default":"Matemática negrita pequeño digamma"}}}]
 ,
-"es/greek-scripts.js": 
-[{"locale":"es"}]
+"es/symbols/hebrew_letters.js": 
+[{"locale":"es"},{"key":"2135","mappings":{"default":{"default":"alef"}},"category":"Lo"},{"key":"2136","mappings":{"default":{"default":"bet"}},"category":"Lo"},{"key":"2137","mappings":{"default":{"default":"guímel"}},"category":"Lo"},{"key":"2138","mappings":{"default":{"default":"dálet"}},"category":"Lo"}]
 ,
-"es/greek-small.js": 
-[{"locale":"es"},{"key":"03B1","mappings":{"default":{"default":"alfa"}},"category":"Ll"},{"key":"03B2","mappings":{"default":{"default":"beta"}},"category":"Ll"},{"key":"03B3","mappings":{"default":{"default":"gamma"}},"category":"Ll"},{"key":"03B4","mappings":{"default":{"default":"delta"}},"category":"Ll"},{"key":"03B5","mappings":{"default":{"default":"épsilon"}},"category":"Ll"},{"key":"03B6","mappings":{"default":{"default":"zeta"}},"category":"Ll"},{"key":"03B7","mappings":{"default":{"default":"eta"}},"category":"Ll"},{"key":"03B8","mappings":{"default":{"default":"theta"}},"category":"Ll"},{"key":"03B9","mappings":{"default":{"default":"iota"}},"category":"Ll"},{"key":"03BA","mappings":{"default":{"default":"kappa"}},"category":"Ll"},{"key":"03BB","mappings":{"default":{"default":"lambda"}},"category":"Ll"},{"key":"03BC","mappings":{"default":{"default":"mi"}},"category":"Ll"},{"key":"03BD","mappings":{"default":{"default":"ni"}},"category":"Ll"},{"key":"03BE","mappings":{"default":{"default":"xi"}},"category":"Ll"},{"key":"03BF","mappings":{"default":{"default":"ómicron"}},"category":"Ll"},{"key":"03C0","mappings":{"default":{"default":"pi"}},"category":"Ll"},{"key":"03C1","mappings":{"default":{"default":"rho"}},"category":"Ll"},{"key":"03C2","mappings":{"default":{"default":"sigma final"}},"category":"Ll"},{"key":"03C3","mappings":{"default":{"default":"sigma"}},"category":"Ll"},{"key":"03C4","mappings":{"default":{"default":"tau"}},"category":"Ll"},{"key":"03C5","mappings":{"default":{"default":"ípsilon"}},"category":"Ll"},{"key":"03C6","mappings":{"default":{"default":"phi"}},"category":"Ll"},{"key":"03C7","mappings":{"default":{"default":"ji"}},"category":"Ll"},{"key":"03C8","mappings":{"default":{"default":"psi"}},"category":"Ll"},{"key":"03C9","mappings":{"default":{"default":"omega"}},"category":"Ll"}]
+"es/symbols/latin-lower-double-accent.js": 
+[{"locale":"es"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u con diéresis y macron"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u con diéresis y acento agudo"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u con diéresis y acento"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u con diéresis y grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a con diéresis y macron"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a con punto arriba y macron"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o con pecíolo y macron"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a con ring above y acento agudo"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o con diéresis y macron"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o con tilde y macron"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o con Dot Above y Macron"}}},{"key":"1E09","mappings":{"default":{"default":"c con cedilla y agudo"}},"category":"Ll"},{"key":"1E15","mappings":{"default":{"default":"e con macrón y grave"}},"category":"Ll"},{"key":"1E17","mappings":{"default":{"default":"e con macrón y agudo"}},"category":"Ll"},{"key":"1E1D","mappings":{"default":{"default":"e con cedilla y breve"}},"category":"Ll"},{"key":"1E2F","mappings":{"default":{"default":"i con diéresis y agudo"}},"category":"Ll"},{"key":"1E39","mappings":{"default":{"default":"l con punto debajo y macrón"}},"category":"Ll"},{"key":"1E4D","mappings":{"default":{"default":"o con tilde y acute"}},"category":"Ll"},{"key":"1E4F","mappings":{"default":{"default":"o con tilde y diéresis"}},"category":"Ll"},{"key":"1E51","mappings":{"default":{"default":"o con macrón y grave"}},"category":"Ll"},{"key":"1E53","mappings":{"default":{"default":"o con macrón y agudo"}},"category":"Ll"},{"key":"1E5D","mappings":{"default":{"default":"r con punto debajo y macrón"}},"category":"Ll"},{"key":"1E65","mappings":{"default":{"default":"s con agudo y punto arriba"}},"category":"Ll"},{"key":"1E67","mappings":{"default":{"default":"s con carón y punto arriba"}},"category":"Ll"},{"key":"1E69","mappings":{"default":{"default":"s con punto debajo y punto arriba"}},"category":"Ll"},{"key":"1E79","mappings":{"default":{"default":"u con tilde y agudo"}},"category":"Ll"},{"key":"1E7B","mappings":{"default":{"default":"u con macrón y diéresis"}},"category":"Ll"},{"key":"1EA5","mappings":{"default":{"default":"a con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EA7","mappings":{"default":{"default":"a con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EA9","mappings":{"default":{"default":"a con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EAB","mappings":{"default":{"default":"a con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EAD","mappings":{"default":{"default":"a con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EAF","mappings":{"default":{"default":"a con breve y agudo"}},"category":"Ll"},{"key":"1EB1","mappings":{"default":{"default":"a con breve y grave"}},"category":"Ll"},{"key":"1EB3","mappings":{"default":{"default":"a con breve y gancho arriba"}},"category":"Ll"},{"key":"1EB5","mappings":{"default":{"default":"a con breve y tilde"}},"category":"Ll"},{"key":"1EB7","mappings":{"default":{"default":"a con breve y punto debajo"}},"category":"Ll"},{"key":"1EBF","mappings":{"default":{"default":"e con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EC1","mappings":{"default":{"default":"e con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EC3","mappings":{"default":{"default":"e con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EC5","mappings":{"default":{"default":"e con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EC7","mappings":{"default":{"default":"e con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1ED1","mappings":{"default":{"default":"o con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1ED3","mappings":{"default":{"default":"o con acento circunflejo y grave"}},"category":"Ll"},{"key":"1ED5","mappings":{"default":{"default":"o con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1ED7","mappings":{"default":{"default":"o con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1ED9","mappings":{"default":{"default":"o con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EDB","mappings":{"default":{"default":"o with horn and acute"}},"category":"Ll"},{"key":"1EDD","mappings":{"default":{"default":"o with horn and grave"}},"category":"Ll"},{"key":"1EDF","mappings":{"default":{"default":"o with horn and hook above"}},"category":"Ll"},{"key":"1EE1","mappings":{"default":{"default":"o with horn and tilde"}},"category":"Ll"},{"key":"1EE3","mappings":{"default":{"default":"o con cuerno y punto debajo"}},"category":"Ll"},{"key":"1EE9","mappings":{"default":{"default":"u con cuerno y agudo"}},"category":"Ll"},{"key":"1EEB","mappings":{"default":{"default":"u con cuerno y grave"}},"category":"Ll"},{"key":"1EED","mappings":{"default":{"default":"u con cuerno y gancho arriba"}},"category":"Ll"},{"key":"1EEF","mappings":{"default":{"default":"u con cuerno y tilde"}},"category":"Ll"},{"key":"1EF1","mappings":{"default":{"default":"u con cuerno y punto debajo"}},"category":"Ll"}]
 ,
-"es/greek-symbols.js": 
-[{"locale":"es"},{"key":"03D0","mappings":{"default":{"default":"símbolo beta"}},"category":"Ll"},{"key":"03D1","mappings":{"default":{"default":"variante de theta"}},"category":"Ll"},{"key":"03D5","mappings":{"default":{"default":"phi recta"}},"category":"Ll"},{"key":"03D6","mappings":{"default":{"default":"pi","defaultMP":"variante de pi"}},"category":"Ll"},{"key":"03D7","mappings":{"default":{"default":"símbolo kai griego"}},"category":"Ll"},{"key":"03F0","mappings":{"default":{"default":"kappa","defaultMP":"variante de kappa"}},"category":"Ll"},{"key":"03F1","mappings":{"default":{"default":"rho","defaultMP":"variante de rho"}},"category":"Ll"},{"key":"03F5","mappings":{"default":{"default":"épsilon","defaultMP":"variante de épsilon"}},"category":"Ll"},{"key":"03F6","mappings":{"default":{"default":"épsilon invertido"}},"category":"Sm"},{"key":"03F4","mappings":{"default":{"default":"mayúscula variante de Theta"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula variante de Theta"}},"key":"1D6B9"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula variante de Theta"}},"key":"1D6F3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula variante de Theta"}},"key":"1D767"}]
+"es/symbols/latin-lower-phonetic.js": 
+[{"locale":"es"},{"key":"00F8","mappings":{"default":{"default":"o barrada"}},"category":"Ll"},{"key":"0111","mappings":{"default":{"default":"d con barra"}},"category":"Ll"},{"key":"0127","mappings":{"default":{"default":"h con guión"}},"category":"Ll"},{"key":"0142","mappings":{"default":{"default":"l con guión"}},"category":"Ll"},{"key":"0167","mappings":{"default":{"default":"t con guión"}},"category":"Ll"},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b con línea"}}},{"key":"019B","mappings":{"default":{"default":"lambda tachada"}},"category":"Ll"},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z con línea"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"parada glotal invertida con línea"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g con línea"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o con línea y acento agudo"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c con trazo"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"pequeña e con trazo"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j con trazo"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"con trazo"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y con trazo"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"pequeña sin puntos j con trazo"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i con trazo"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"pequeña sin puntos j con trazo y gancho"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"parada glotal con trazo"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"parada invertida glotal con trazo"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"de lado O con trazo"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota con trazo"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p con trazo"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon con trazo"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"larga s con trazo diagonal"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"pequeña s larga con trazo alto"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"delta convertido"}}},{"key":"1E9B","mappings":{"default":{"default":"s larga con punto arriba"}},"category":"Ll"},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta pequeña latina"}}},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"category":"Ll","key":"017F","mappings":{"default":{"default":"s larga"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b con barra encima"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"tono seis"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c con gancho"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d con barra encima"}}},{"key":"0192","mappings":{"default":{"default":"f con gancho"}},"category":"Ll"},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k con gancho"}}},{"key":"019A","mappings":{"default":{"default":"l con barra"}},"category":"Ll"},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n con pierna derecha larga"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o con cuerno"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p con gancho"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"dos tonos"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"latin letter invertido Esh bucle"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t con palatal gancho"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t con gancho"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u con horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y con gancho"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"ezh invertido"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ezh con cola"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"tono cinco"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz con acento"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae con macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ezh con acento"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"latín letra pequeña yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lezh letra pequeña latina"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"pequeña Ezh con Curl"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"latín letra pequeña Dezh Digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"e convertido"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae con acento agudo"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d con rizo"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z con gancho"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l con rizo"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n con rizo"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t con rizo"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"letra pequeña latina db digraph"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"latín letra pequeña Qp Digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s con cola cruzada"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z con cola swash"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"latín letra pequeña parada glotal"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q con cola de gancho"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"convertida en una"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alfa minúscula latina"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"convertida en alfa"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b con gancho"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"abierta o"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c con rizo"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d con cola"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d con gancho"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"invertida E"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"pequeña Schwa con gancho"}}},{"key":"025B","mappings":{"default":{"default":"e abierta"}},"category":"Ll"},{"category":"Ll","key":"025C","mappings":{"default":{"default":"invertida abierta E"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"letra pequeña latina invertida E abierta con gancho"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"cerrada invertida abierta E"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g con gancho"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"escritura latina de letras pequeñas G"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"latín letra pequeña gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"cuerno de carnero de letra pequeña latina"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"girada h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h con gancho"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"pequeña letra latina Heng con gancho"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"latín letra minúscula Iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l con tilde medio"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l con cinturón"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"letra L latina pequeña con gancho Retroflex"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"girada m"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"vuelta M con pierna larga"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m con gancho"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n con gancho izquierdo"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n con gancho retroflex"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"letra minúscula omega"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"latin Small Letter Closed Omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"Letra pequeña latina"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"vuelta r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"vuelta R con pierna larga"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"vuelta R con gancho"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"R con pierna larga"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"R con cola"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"R con anzuelo"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"invertida R con anzuelo"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"S con gancho"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"Pequeña letra latina esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"Latín letra pequeña en cuclillas invertida Esh"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"Esh minúscula latina con rizo"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"vuelta t"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"T con gancho retroflex"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"Letra de letra pequeña latina U"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"Upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"V con gancho"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"convertida V"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"girada w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"vuelta y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"Z con gancho retroflex"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z con rizo"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"faríngea con voz fricativa"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"invertida parada glotal"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"estirada c"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"Carta Bilabial Click"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"cerrada abierta e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"vuelta k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q con gancho"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"pequeña letra Dz Digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"Letra pequeña latina Dz Digraph con Curl"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"Latín letra pequeña Ts Digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"Letra pequeña latina Tesh Digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"Latín letra pequeña Tc Digraph con Curl"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"Letra pequeña latina Feng Digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"pequeña letra Ls Digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"pequeña letra Lz Digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"percusion bilabial"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"de percusión bidental"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"convertida en H con anzuelo"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"convertida en H con anzuelo y cola"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"vuelta ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"convertida abierta E"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"convertida i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"de lado O"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"de lado abierto O"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"vuelta oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"mitad superior O"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"Letra latina, letra inferior, mitad inferior O"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"hacia los lados U"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"de lado diaeresizada U"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"girada hacia los lados M"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"Carta latina expresada espirante laríngeo"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"B con tilde medio"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"D con tilde medio"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"F con tilde medio"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"M con tilde medio"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"N con tilde medio"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"P con tilde medio"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"R con tilde medio"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"R con anzuelo y tilde medio"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"S con tilde medio"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"T con tilde medio"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z con tilde media"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"girada g"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"insular g"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th con tachado"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"B con gancho palatal"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"D con gancho palatal"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"F con gancho palatino"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"G con gancho palatal"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"K con gancho palatino"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"L con gancho palatino"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"M con gancho palatino"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"N con gancho palatal"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"P con gancho palatino"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"R con gancho palatal"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"S con gancho palatal"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"Pequeña letra latina Esh con gancho palatal"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"V con gancho palatal"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"X con gancho palatal"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"Z con gancho palatal"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a con gancho retroflex"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"Alfa latina pequeña letra con gancho retroflex"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"D con gancho y cola"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"pequeña E con gancho retroflex"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"E Pequeña Open con Gancho Retroflex"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"E abierta invertido con gancho retroflex"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"pequeña Schwa con gancho retroflex"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"I con gancho retroflex"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"pequeña latina Open O con gancho retroflex"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"Esh de letra pequeña latina con gancho retroflex"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"U con gancho retroflex"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"pequeña Ezh con gancho retroflex"}}},{"key":"0149","mappings":{"default":{"default":"n precedida por apóstrofe"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
 ,
-"es/hebrew_letters.js": 
-[{"locale":"es"},{"key":"2135","mappings":{"default":{"default":"alef"}},"category":"Lo"},{"key":"2136","mappings":{"default":{"default":"bet"}},"category":"Lo"},{"key":"2137","mappings":{"default":{"default":"guímel"}},"category":"Lo"},{"key":"2138","mappings":{"default":{"default":"dálet"}},"category":"Lo"}]
+"es/symbols/latin-lower-single-accent.js": 
+[{"locale":"es"},{"key":"00E0","mappings":{"default":{"default":"a grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a aguda"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a acento circunflejo"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a con tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a diéresis"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a con anillo"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c cedilla"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e aguda"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e acento circunflejo"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e diéresis"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i aguda"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i acento circunflejo"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i diéresis"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"eñe"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o aguda"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o acento circunflejo"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o con tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o diéresis"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u aguda"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u acento circunflejo"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u diéresis"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"Y aguda","defaultMP":"ye aguda"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y diéresis","defaultMP":"ye diéresis"}},"category":"Ll"},{"key":"0101","mappings":{"default":{"default":"a barra"}},"category":"Ll"},{"key":"0103","mappings":{"default":{"default":"a con breve"}},"category":"Ll"},{"key":"0105","mappings":{"default":{"default":"a con ogonek"}},"category":"Ll"},{"key":"0107","mappings":{"default":{"default":"c con agudo"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c con acento circunflejo"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c con punto arriba"}},"category":"Ll"},{"key":"010D","mappings":{"default":{"default":"c con carón"}},"category":"Ll"},{"key":"010F","mappings":{"default":{"default":"d con carón"}},"category":"Ll"},{"key":"0113","mappings":{"default":{"default":"e barra"}},"category":"Ll"},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e con breve"}}},{"key":"0117","mappings":{"default":{"default":"e con punto arriba"}},"category":"Ll"},{"key":"0119","mappings":{"default":{"default":"e con ogonek"}},"category":"Ll"},{"key":"011B","mappings":{"default":{"default":"e con carón"}},"category":"Ll"},{"key":"011D","mappings":{"default":{"default":"g con acento circunflejo"}},"category":"Ll"},{"key":"011F","mappings":{"default":{"default":"g con breve"}},"category":"Ll"},{"key":"0121","mappings":{"default":{"default":"g con punto arriba"}},"category":"Ll"},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g con cedilla"}}},{"key":"0125","mappings":{"default":{"default":"h con acento circunflejo"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i con tilde"}},"category":"Ll"},{"key":"012B","mappings":{"default":{"default":"i barra"}},"category":"Ll"},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i con breve"}}},{"key":"012F","mappings":{"default":{"default":"i con ogonek"}},"category":"Ll"},{"key":"0131","mappings":{"default":{"default":"i sin punto"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j con acento circunflejo"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k con cedilla"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l con agudo"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l con cedilla"}},"category":"Ll"},{"key":"013E","mappings":{"default":{"default":"l con carón"}},"category":"Ll"},{"key":"0140","mappings":{"default":{"default":"l con punto mediano"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n con agudo"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n con cedilla"}},"category":"Ll"},{"key":"0148","mappings":{"default":{"default":"n con carón"}},"category":"Ll"},{"key":"014D","mappings":{"default":{"default":"o barra"}},"category":"Ll"},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o con breve"}}},{"key":"0151","mappings":{"default":{"default":"o con doble acento agudo"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r con agudo"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r con cedilla"}},"category":"Ll"},{"key":"0159","mappings":{"default":{"default":"r con carón"}},"category":"Ll"},{"key":"015B","mappings":{"default":{"default":"s con agudo"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s con acento circunflejo"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s con cedilla"}},"category":"Ll"},{"key":"0161","mappings":{"default":{"default":"s con carón"}},"category":"Ll"},{"key":"0163","mappings":{"default":{"default":"t con cedilla"}},"category":"Ll"},{"key":"0165","mappings":{"default":{"default":"t con carón"}},"category":"Ll"},{"key":"0169","mappings":{"default":{"default":"u con tilde"}},"category":"Ll"},{"key":"016B","mappings":{"default":{"default":"u barra"}},"category":"Ll"},{"key":"016D","mappings":{"default":{"default":"u con breve"}},"category":"Ll"},{"key":"016F","mappings":{"default":{"default":"u con anillo arriba"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u con doble acento agudo"}},"category":"Ll"},{"key":"0173","mappings":{"default":{"default":"u con ogonek"}},"category":"Ll"},{"key":"0175","mappings":{"default":{"default":"w con circunflejo"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y con circunflejo"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z con agudo"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z con punto"}},"category":"Ll"},{"key":"017E","mappings":{"default":{"default":"z con carón"}},"category":"Ll"},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a con acento"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i con acento"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o con acento"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u con acento"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g con acento"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k con acento"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o con pecíolo"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j con acento"}}},{"key":"01F5","mappings":{"default":{"default":"g con agudo"}},"category":"Ll"},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n con grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a con doble tumba"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a con letras invertidas"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e con doble tumba"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e con letras invertidas"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i con doble tumba"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i con Breve invertida"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o con doble tumba"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o con letras invertidas"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r con doble sepulcro"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r con letras invertidas"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u con doble tumba"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u con letras invertidas"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s con coma debajo"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t con coma debajo"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h con caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"con un punto arriba"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e con cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o con punto arriba"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y con Macron"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"s in punto j"}}},{"key":"1E01","mappings":{"default":{"default":"a con anillo debajo"}},"category":"Ll"},{"key":"1E03","mappings":{"default":{"default":"b con punto arriba"}},"category":"Ll"},{"key":"1E05","mappings":{"default":{"default":"b con punto debajo"}},"category":"Ll"},{"key":"1E07","mappings":{"default":{"default":"b con línea debajo"}},"category":"Ll"},{"key":"1E0B","mappings":{"default":{"default":"d con punto arriba"}},"category":"Ll"},{"key":"1E0D","mappings":{"default":{"default":"d con punto debajo"}},"category":"Ll"},{"key":"1E0F","mappings":{"default":{"default":"d con línea debajo"}},"category":"Ll"},{"key":"1E11","mappings":{"default":{"default":"d con cedilla"}},"category":"Ll"},{"key":"1E13","mappings":{"default":{"default":"d con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E19","mappings":{"default":{"default":"e con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E1B","mappings":{"default":{"default":"e con tilde debajo"}},"category":"Ll"},{"key":"1E1F","mappings":{"default":{"default":"f con punto arriba"}},"category":"Ll"},{"key":"1E21","mappings":{"default":{"default":"g con macrón"}},"category":"Ll"},{"key":"1E23","mappings":{"default":{"default":"h con punto arriba"}},"category":"Ll"},{"key":"1E25","mappings":{"default":{"default":"h con punto debajo"}},"category":"Ll"},{"key":"1E27","mappings":{"default":{"default":"h con diéresis"}},"category":"Ll"},{"key":"1E29","mappings":{"default":{"default":"h con cedilla"}},"category":"Ll"},{"key":"1E2B","mappings":{"default":{"default":"h con breve debajo"}},"category":"Ll"},{"key":"1E2D","mappings":{"default":{"default":"i con tilde debajo"}},"category":"Ll"},{"key":"1E31","mappings":{"default":{"default":"k con agudo"}},"category":"Ll"},{"key":"1E33","mappings":{"default":{"default":"k con punto debajo"}},"category":"Ll"},{"key":"1E35","mappings":{"default":{"default":"k con línea debajo"}},"category":"Ll"},{"key":"1E37","mappings":{"default":{"default":"l con punto debajo"}},"category":"Ll"},{"key":"1E3B","mappings":{"default":{"default":"l con línea debajo"}},"category":"Ll"},{"key":"1E3D","mappings":{"default":{"default":"l con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E3F","mappings":{"default":{"default":"m con agudo"}},"category":"Ll"},{"key":"1E41","mappings":{"default":{"default":"m con punto arriba"}},"category":"Ll"},{"key":"1E43","mappings":{"default":{"default":"m con punto debajo"}},"category":"Ll"},{"key":"1E45","mappings":{"default":{"default":"n con punto arriba"}},"category":"Ll"},{"key":"1E47","mappings":{"default":{"default":"n con punto debajo"}},"category":"Ll"},{"key":"1E49","mappings":{"default":{"default":"n con línea debajo"}},"category":"Ll"},{"key":"1E4B","mappings":{"default":{"default":"n con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E55","mappings":{"default":{"default":"p con agudo"}},"category":"Ll"},{"key":"1E57","mappings":{"default":{"default":"p con punto arriba"}},"category":"Ll"},{"key":"1E59","mappings":{"default":{"default":"r con punto arriba"}},"category":"Ll"},{"key":"1E5B","mappings":{"default":{"default":"r con punto debajo"}},"category":"Ll"},{"key":"1E5F","mappings":{"default":{"default":"r con línea debajo"}},"category":"Ll"},{"key":"1E61","mappings":{"default":{"default":"s con punto arriba"}},"category":"Ll"},{"key":"1E63","mappings":{"default":{"default":"s con punto debajo"}},"category":"Ll"},{"key":"1E6B","mappings":{"default":{"default":"t con punto arriba"}},"category":"Ll"},{"key":"1E6D","mappings":{"default":{"default":"t con punto debajo"}},"category":"Ll"},{"key":"1E6F","mappings":{"default":{"default":"t con línea debajo"}},"category":"Ll"},{"key":"1E71","mappings":{"default":{"default":"t con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E73","mappings":{"default":{"default":"u con diéresis debajo"}},"category":"Ll"},{"key":"1E75","mappings":{"default":{"default":"u con tilde debajo"}},"category":"Ll"},{"key":"1E77","mappings":{"default":{"default":"u con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E7D","mappings":{"default":{"default":"v con tilde"}},"category":"Ll"},{"key":"1E7F","mappings":{"default":{"default":"v con punto debajo"}},"category":"Ll"},{"key":"1E81","mappings":{"default":{"default":"w con grave"}},"category":"Ll"},{"key":"1E83","mappings":{"default":{"default":"w con agudo"}},"category":"Ll"},{"key":"1E85","mappings":{"default":{"default":"w con diéresis"}},"category":"Ll"},{"key":"1E87","mappings":{"default":{"default":"w con punto arriba"}},"category":"Ll"},{"key":"1E89","mappings":{"default":{"default":"w con punto debajo"}},"category":"Ll"},{"key":"1E8B","mappings":{"default":{"default":"x con punto arriba"}},"category":"Ll"},{"key":"1E8D","mappings":{"default":{"default":"x con diéresis"}},"category":"Ll"},{"key":"1E8F","mappings":{"default":{"default":"y con punto arriba"}},"category":"Ll"},{"key":"1E91","mappings":{"default":{"default":"z con acento circunflejo"}},"category":"Ll"},{"key":"1E93","mappings":{"default":{"default":"z con punto debajo"}},"category":"Ll"},{"key":"1E95","mappings":{"default":{"default":"z con línea debajo"}},"category":"Ll"},{"key":"1E96","mappings":{"default":{"default":"h con línea debajo"}},"category":"Ll"},{"key":"1E97","mappings":{"default":{"default":"t con diéresis"}},"category":"Ll"},{"key":"1E98","mappings":{"default":{"default":"w con anillo arriba"}},"category":"Ll"},{"key":"1E99","mappings":{"default":{"default":"y con anillo arriba"}},"category":"Ll"},{"key":"1E9A","mappings":{"default":{"default":"a con medio derecho de anillo"}},"category":"Ll"},{"key":"1EA1","mappings":{"default":{"default":"a con punto debajo"}},"category":"Ll"},{"key":"1EA3","mappings":{"default":{"default":"a con gancho arriba"}},"category":"Ll"},{"key":"1EB9","mappings":{"default":{"default":"e con punto debajo"}},"category":"Ll"},{"key":"1EBB","mappings":{"default":{"default":"e con gancho arriba"}},"category":"Ll"},{"key":"1EBD","mappings":{"default":{"default":"e con tilde"}},"category":"Ll"},{"key":"1EC9","mappings":{"default":{"default":"i con gancho arriba"}},"category":"Ll"},{"key":"1ECB","mappings":{"default":{"default":"i con punto debajo"}},"category":"Ll"},{"key":"1ECD","mappings":{"default":{"default":"o con punto debajo"}},"category":"Ll"},{"key":"1ECF","mappings":{"default":{"default":"o con gancho arriba"}},"category":"Ll"},{"key":"1EE5","mappings":{"default":{"default":"u con punto debajo"}},"category":"Ll"},{"key":"1EE7","mappings":{"default":{"default":"u con gancho arriba"}},"category":"Ll"},{"key":"1EF3","mappings":{"default":{"default":"y con grave"}},"category":"Ll"},{"key":"1EF5","mappings":{"default":{"default":"y con punto debajo"}},"category":"Ll"},{"key":"1EF7","mappings":{"default":{"default":"y con gancho arriba"}},"category":"Ll"},{"key":"1EF9","mappings":{"default":{"default":"y con tilde"}},"category":"Ll"}]
 ,
-"es/latin-lower-double-accent.js": 
-[{"locale":"es"},{"key":"1E09","mappings":{"default":{"default":"c con cedilla y agudo"}},"category":"Ll"},{"key":"1E15","mappings":{"default":{"default":"e con macrón y grave"}},"category":"Ll"},{"key":"1E17","mappings":{"default":{"default":"e con macrón y agudo"}},"category":"Ll"},{"key":"1E1D","mappings":{"default":{"default":"e con cedilla y breve"}},"category":"Ll"},{"key":"1E2F","mappings":{"default":{"default":"i con diéresis y agudo"}},"category":"Ll"},{"key":"1E39","mappings":{"default":{"default":"l con punto debajo y macrón"}},"category":"Ll"},{"key":"1E4D","mappings":{"default":{"default":"o con tilde y acute"}},"category":"Ll"},{"key":"1E4F","mappings":{"default":{"default":"o con tilde y diéresis"}},"category":"Ll"},{"key":"1E51","mappings":{"default":{"default":"o con macrón y grave"}},"category":"Ll"},{"key":"1E53","mappings":{"default":{"default":"o con macrón y agudo"}},"category":"Ll"},{"key":"1E5D","mappings":{"default":{"default":"r con punto debajo y macrón"}},"category":"Ll"},{"key":"1E65","mappings":{"default":{"default":"s con agudo y punto arriba"}},"category":"Ll"},{"key":"1E67","mappings":{"default":{"default":"s con carón y punto arriba"}},"category":"Ll"},{"key":"1E69","mappings":{"default":{"default":"s con punto debajo y punto arriba"}},"category":"Ll"},{"key":"1E79","mappings":{"default":{"default":"u con tilde y agudo"}},"category":"Ll"},{"key":"1E7B","mappings":{"default":{"default":"u con macrón y diéresis"}},"category":"Ll"},{"key":"1EA5","mappings":{"default":{"default":"a con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EA7","mappings":{"default":{"default":"a con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EA9","mappings":{"default":{"default":"a con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EAB","mappings":{"default":{"default":"a con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EAD","mappings":{"default":{"default":"a con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EAF","mappings":{"default":{"default":"a con breve y agudo"}},"category":"Ll"},{"key":"1EB1","mappings":{"default":{"default":"a con breve y grave"}},"category":"Ll"},{"key":"1EB3","mappings":{"default":{"default":"a con breve y gancho arriba"}},"category":"Ll"},{"key":"1EB5","mappings":{"default":{"default":"a con breve y tilde"}},"category":"Ll"},{"key":"1EB7","mappings":{"default":{"default":"a con breve y punto debajo"}},"category":"Ll"},{"key":"1EBF","mappings":{"default":{"default":"e con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EC1","mappings":{"default":{"default":"e con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EC3","mappings":{"default":{"default":"e con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EC5","mappings":{"default":{"default":"e con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EC7","mappings":{"default":{"default":"e con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1ED1","mappings":{"default":{"default":"o con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1ED3","mappings":{"default":{"default":"o con acento circunflejo y grave"}},"category":"Ll"},{"key":"1ED5","mappings":{"default":{"default":"o con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1ED7","mappings":{"default":{"default":"o con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1ED9","mappings":{"default":{"default":"o con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EDB","mappings":{"default":{"default":"o with horn and acute"}},"category":"Ll"},{"key":"1EDD","mappings":{"default":{"default":"o with horn and grave"}},"category":"Ll"},{"key":"1EDF","mappings":{"default":{"default":"o with horn and hook above"}},"category":"Ll"},{"key":"1EE1","mappings":{"default":{"default":"o with horn and tilde"}},"category":"Ll"},{"key":"1EE3","mappings":{"default":{"default":"o con cuerno y punto debajo"}},"category":"Ll"},{"key":"1EE9","mappings":{"default":{"default":"u con cuerno y agudo"}},"category":"Ll"},{"key":"1EEB","mappings":{"default":{"default":"u con cuerno y grave"}},"category":"Ll"},{"key":"1EED","mappings":{"default":{"default":"u con cuerno y gancho arriba"}},"category":"Ll"},{"key":"1EEF","mappings":{"default":{"default":"u con cuerno y tilde"}},"category":"Ll"},{"key":"1EF1","mappings":{"default":{"default":"u con cuerno y punto debajo"}},"category":"Ll"}]
+"es/symbols/latin-rest.js": 
+[{"locale":"es"},{"category":"Ll","key":"210E","mappings":{"default":{"default":"constante de planck"}}},{"category":"Mn","key":"0363","mappings":{"default":{"default":"combinando a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"combinando e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"combinando i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"combinando o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"combinando u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"combinando c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"combinando d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"combinando h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"combinando m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"combinando r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"combinando t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"combinando v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"combinando x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"subíndice i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"subíndice r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"subíndice u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"subíndice latino letra pequeña V"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"combinando r abajo"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"combinando letra minúscula en latín, aplanado, abierto arriba"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"combinando ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"combinando ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"combinando av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"combinando Letra Pequeña Latina C Cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"combinando insular d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"combinando la eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"combinando g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"combinando pequeña mayúscula G"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"combinando k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"combinando l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"combinando pequeña mayúscula L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"combinando pequeña mayúscula M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"combinando n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"combinando pequeña mayúscula N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"combinando pequeña mayúscula R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"combinando pequeña r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"combinando s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"combinando larga s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"combinando z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"superíndice i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"superíndice n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"subíndice a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"subíndice e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"subíndice o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"subíndice x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"subíndice schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"subíndice h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"subíndice k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"subíndice l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"subíndice m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"subíndice n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"subíndice p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"subíndice s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"subíndice t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"subíndice j"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"concha de tortuga con corchetes mayúscula S"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"círculo itálico mayúscula C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"círculo itálico mayúscula R"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"cruzada negativa cuadrada Mayúscula P"}}}]
 ,
-"es/latin-lower-normal.js": 
-[{"locale":"es"},{"key":"0061","mappings":{"default":{"default":"a"}},"category":"Ll"},{"key":"0062","mappings":{"default":{"default":"b"}},"category":"Ll"},{"key":"0063","mappings":{"default":{"default":"c"}},"category":"Ll"},{"key":"0064","mappings":{"default":{"default":"d"}},"category":"Ll"},{"key":"0065","mappings":{"default":{"default":"e"}},"category":"Ll"},{"key":"0066","mappings":{"default":{"default":"f"}},"category":"Ll"},{"key":"0067","mappings":{"default":{"default":"g"}},"category":"Ll"},{"key":"0068","mappings":{"default":{"default":"h"}},"category":"Ll"},{"key":"0069","mappings":{"default":{"default":"i"}},"category":"Ll"},{"key":"006A","mappings":{"default":{"default":"j"}},"category":"Ll"},{"key":"006B","mappings":{"default":{"default":"k"}},"category":"Ll"},{"key":"006C","mappings":{"default":{"default":"l"}},"category":"Ll"},{"key":"006D","mappings":{"default":{"default":"m"}},"category":"Ll"},{"key":"006E","mappings":{"default":{"default":"n"}},"category":"Ll"},{"key":"006F","mappings":{"default":{"default":"o"}},"category":"Ll"},{"key":"0070","mappings":{"default":{"default":"p"}},"category":"Ll"},{"key":"0071","mappings":{"default":{"default":"q"}},"category":"Ll"},{"key":"0072","mappings":{"default":{"default":"r"}},"category":"Ll"},{"key":"0073","mappings":{"default":{"default":"s"}},"category":"Ll"},{"key":"0074","mappings":{"default":{"default":"t"}},"category":"Ll"},{"key":"0075","mappings":{"default":{"default":"u"}},"category":"Ll"},{"key":"0076","mappings":{"default":{"default":"v"}},"category":"Ll"},{"key":"0077","mappings":{"default":{"default":"w"}},"category":"Ll"},{"key":"0078","mappings":{"default":{"default":"x"}},"category":"Ll"},{"key":"0079","mappings":{"default":{"default":"y","defaultMP":"ye"}},"category":"Ll"},{"key":"007A","mappings":{"default":{"default":"z"}},"category":"Ll"}]
+"es/symbols/latin-upper-double-accent.js": 
+[{"locale":"es"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"mayúscula U con diéresis y macron"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"mayúscula U con diéresis y acento agudo"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"mayúscula U con diéresis y acento"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"mayúscula U con diéresis y grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"mayúscula A con diéresis y macron"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"mayúscula A con punto arriba y macron"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"mayúscula O con pecíolo y macron"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"mayúscula A con ring above y acento agudo"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"mayúscula O con diaéresis y macron"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"mayúscula O con tilde y macron"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"mayúscula O con dot above y macron"}}},{"key":"1E08","mappings":{"default":{"default":"mayúscula C con cedilla y agudo"}},"category":"Lu"},{"key":"1E14","mappings":{"default":{"default":"mayúscula E con macrón y grave"}},"category":"Lu"},{"key":"1E16","mappings":{"default":{"default":"mayúscula E con macrón y agudo"}},"category":"Lu"},{"key":"1E1C","mappings":{"default":{"default":"mayúscula E with cedilla and breve"}},"category":"Lu"},{"key":"1E2E","mappings":{"default":{"default":"mayúscula I con diéresis y agudo"}},"category":"Lu"},{"key":"1E38","mappings":{"default":{"default":"mayúscula L con punto debajo y macrón"}},"category":"Lu"},{"key":"1E4C","mappings":{"default":{"default":"mayúscula O con tilde y acute"}},"category":"Lu"},{"key":"1E4E","mappings":{"default":{"default":"mayúscula O con tilde y diéresis"}},"category":"Lu"},{"key":"1E50","mappings":{"default":{"default":"mayúscula O con macrón y grave"}},"category":"Lu"},{"key":"1E52","mappings":{"default":{"default":"mayúscula O con macrón y agudo"}},"category":"Lu"},{"key":"1E5C","mappings":{"default":{"default":"mayúscula R con punto debajo y macrón"}},"category":"Lu"},{"key":"1E64","mappings":{"default":{"default":"mayúscula S con agudo y punto arriba"}},"category":"Lu"},{"key":"1E66","mappings":{"default":{"default":"mayúscula S con carón y punto arriba"}},"category":"Lu"},{"key":"1E68","mappings":{"default":{"default":"mayúscula S con punto debajo y punto arriba"}},"category":"Lu"},{"key":"1E78","mappings":{"default":{"default":"mayúscula U con tilde y agudo"}},"category":"Lu"},{"key":"1E7A","mappings":{"default":{"default":"mayúscula U con macrón y diéresis"}},"category":"Lu"},{"key":"1EA4","mappings":{"default":{"default":"mayúscula A con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EA6","mappings":{"default":{"default":"mayúscula A con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EA8","mappings":{"default":{"default":"mayúscula A con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EAA","mappings":{"default":{"default":"mayúscula A con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EAC","mappings":{"default":{"default":"mayúscula A con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EAE","mappings":{"default":{"default":"mayúscula A con breve y agudo"}},"category":"Lu"},{"key":"1EB0","mappings":{"default":{"default":"mayúscula A con breve y grave"}},"category":"Lu"},{"key":"1EB2","mappings":{"default":{"default":"mayúscula A con breve y gancho arriba"}},"category":"Lu"},{"key":"1EB4","mappings":{"default":{"default":"mayúscula A con breve y tilde"}},"category":"Lu"},{"key":"1EB6","mappings":{"default":{"default":"mayúscula A con breve y punto debajo"}},"category":"Lu"},{"key":"1EBE","mappings":{"default":{"default":"mayúscula E con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EC0","mappings":{"default":{"default":"mayúscula E con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EC2","mappings":{"default":{"default":"mayúscula E con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EC4","mappings":{"default":{"default":"mayúscula E con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EC6","mappings":{"default":{"default":"mayúscula E con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1ED0","mappings":{"default":{"default":"mayúscula O con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1ED2","mappings":{"default":{"default":"mayúscula O con acento circunflejo y grave"}},"category":"Lu"},{"key":"1ED4","mappings":{"default":{"default":"mayúscula O con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1ED6","mappings":{"default":{"default":"mayúscula O con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1ED8","mappings":{"default":{"default":"mayúscula O con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EDA","mappings":{"default":{"default":"mayúscula O with horn and acute"}},"category":"Lu"},{"key":"1EDC","mappings":{"default":{"default":"mayúscula O with horn and grave"}},"category":"Lu"},{"key":"1EDE","mappings":{"default":{"default":"mayúscula O with horn and hook above"}},"category":"Lu"},{"key":"1EE0","mappings":{"default":{"default":"mayúscula O with horn and tilde"}},"category":"Lu"},{"key":"1EE2","mappings":{"default":{"default":"mayúscula O con cuerno y punto debajo"}},"category":"Lu"},{"key":"1EE8","mappings":{"default":{"default":"mayúscula U con cuerno y agudo"}},"category":"Lu"},{"key":"1EEA","mappings":{"default":{"default":"mayúscula U con cuerno y grave"}},"category":"Lu"},{"key":"1EEC","mappings":{"default":{"default":"mayúscula U con cuerno y gancho arriba"}},"category":"Lu"},{"key":"1EEE","mappings":{"default":{"default":"mayúscula U con cuerno y tilde"}},"category":"Lu"},{"key":"1EF0","mappings":{"default":{"default":"mayúscula U con cuerno y punto debajo"}},"category":"Lu"}]
 ,
-"es/latin-lower-phonetic.js": 
-[{"locale":"es"},{"key":"00F8","mappings":{"default":{"default":"o barrada"}},"category":"Ll"},{"key":"0111","mappings":{"default":{"default":"d con barra"}},"category":"Ll"},{"key":"0127","mappings":{"default":{"default":"h con guión"}},"category":"Ll"},{"key":"0142","mappings":{"default":{"default":"l con guión"}},"category":"Ll"},{"key":"0167","mappings":{"default":{"default":"t con guión"}},"category":"Ll"},{"key":"019B","mappings":{"default":{"default":"lambda tachada"}},"category":"Ll"},{"key":"1E9B","mappings":{"default":{"default":"s larga con punto arriba"}},"category":"Ll"},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"key":"0192","mappings":{"default":{"default":"f con gancho"}},"category":"Ll"},{"key":"019A","mappings":{"default":{"default":"l con barra"}},"category":"Ll"},{"key":"025B","mappings":{"default":{"default":"e abierta"}},"category":"Ll"},{"key":"0149","mappings":{"default":{"default":"n precedida por apóstrofe"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
+"es/symbols/latin-upper-single-accent.js": 
+[{"locale":"es"},{"key":"00C0","mappings":{"default":{"default":"mayúscula A grave"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"mayúscula A aguda"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"mayúscula A acento circunflejo"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"mayúscula A con tilde"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"mayúscula A diéresis"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"mayúscula A con anillo"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"mayúscula C cedilla"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"mayúscula E grave"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"mayúscula E aguda"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"mayúscula E acento circunflejo"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"mayúscula E diéresis"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"mayúscula I grave"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"mayúscula I aguda"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"mayúscula I acento circumflejo"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"mayúscula I diéresis"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"mayúscula Ñ"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"mayúscula O grave"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"mayúscula O aguda"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"mayúscula O acento circunflejo"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"mayúscula O con tilde"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"mayúscula O diéresis"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"mayúscula U grave"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"mayúscula U aguda"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"mayúscula U acento circunflejo"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"mayúscula U diéresis"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"mayúscula Y aguda"}},"category":"Lu"},{"key":"0100","mappings":{"default":{"default":"mayúscula A barra"}},"category":"Lu"},{"key":"0102","mappings":{"default":{"default":"mayúscula A con breve"}},"category":"Lu"},{"key":"0104","mappings":{"default":{"default":"mayúscula A con ogonek"}},"category":"Lu"},{"key":"0106","mappings":{"default":{"default":"mayúscula C con agudo"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"mayúscula C con acento circunflejo"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"mayúscula C con punto arriba"}},"category":"Lu"},{"key":"010C","mappings":{"default":{"default":"mayúscula C con carón"}},"category":"Lu"},{"key":"010E","mappings":{"default":{"default":"mayúscula D con carón"}},"category":"Lu"},{"key":"0112","mappings":{"default":{"default":"mayúscula E barra"}},"category":"Lu"},{"category":"Lu","key":"0114","mappings":{"default":{"default":"mayúscula E con breve"}}},{"key":"0116","mappings":{"default":{"default":"mayúscula E con punto arriba"}},"category":"Lu"},{"key":"0118","mappings":{"default":{"default":"mayúscula E con ogonek"}},"category":"Lu"},{"key":"011A","mappings":{"default":{"default":"mayúscula E con carón"}},"category":"Lu"},{"key":"011C","mappings":{"default":{"default":"mayúscula G con acento circunflejo"}},"category":"Lu"},{"key":"011E","mappings":{"default":{"default":"mayúscula G con breve"}},"category":"Lu"},{"key":"0120","mappings":{"default":{"default":"mayúscula G con punto arriba"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"mayúscula G con cedilla"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"mayúscula H con acento circunflejo"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"mayúscula I con tilde"}},"category":"Lu"},{"key":"012A","mappings":{"default":{"default":"mayúscula I barra"}},"category":"Lu"},{"category":"Lu","key":"012C","mappings":{"default":{"default":"mayúscula I con breve"}}},{"key":"012E","mappings":{"default":{"default":"mayúscula I con ogonek"}},"category":"Lu"},{"key":"0130","mappings":{"default":{"default":"mayúscula I con punto arriba"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"mayúscula J con acento circunflejo"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"mayúscula K con cedilla"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"mayúscula L con agudo"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"mayúscula L con cedilla"}},"category":"Lu"},{"key":"013D","mappings":{"default":{"default":"mayúscula L con carón"}},"category":"Lu"},{"key":"013F","mappings":{"default":{"default":"mayúscula L con punto mediano"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"mayúscula N con agudo"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"mayúscula N con cedilla"}},"category":"Lu"},{"key":"0147","mappings":{"default":{"default":"mayúscula n con carón"}},"category":"Lu"},{"key":"014C","mappings":{"default":{"default":"mayúscula O barra"}},"category":"Lu"},{"category":"Lu","key":"014E","mappings":{"default":{"default":"mayúscula O con breve"}}},{"key":"0150","mappings":{"default":{"default":"mayúscula O con doble acento agudo "}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"mayúscula R con agudo"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"mayúscula R con cedilla"}},"category":"Lu"},{"key":"0158","mappings":{"default":{"default":"mayúscula R con carón"}},"category":"Lu"},{"key":"015A","mappings":{"default":{"default":"mayúscula S con agudo"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"mayúscula S con acento circunflejo"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"mayúscula S con cedilla"}},"category":"Lu"},{"key":"0160","mappings":{"default":{"default":"mayúscula S con carón"}},"category":"Lu"},{"key":"0162","mappings":{"default":{"default":"mayúscula T con cedilla"}},"category":"Lu"},{"key":"0164","mappings":{"default":{"default":"mayúscula T con carón"}},"category":"Lu"},{"key":"0168","mappings":{"default":{"default":"mayúscula U con tilde"}},"category":"Lu"},{"key":"016A","mappings":{"default":{"default":"mayúscula U barra"}},"category":"Lu"},{"key":"016C","mappings":{"default":{"default":"mayúscula U con breve"}},"category":"Lu"},{"key":"016E","mappings":{"default":{"default":"mayúscula U con anillo arriba"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"mayúscula U con doble acento agudo"}},"category":"Lu"},{"key":"0172","mappings":{"default":{"default":"mayúscula U con ogonek"}},"category":"Lu"},{"key":"0174","mappings":{"default":{"default":"mayúscula W con acento circunflejo"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"mayúscula Y con circunflejo"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"mayúscula Y diéresis"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"mayúscula Z con agudo"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"mayúscula Z con punto"}},"category":"Lu"},{"key":"017D","mappings":{"default":{"default":"mayúscula Z con carón"}},"category":"Lu"},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"mayúscula A con acento"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"mayúscula I con acento"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"mayúscula O con acento"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"mayúscula U con acento"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"mayúscula G con acento"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"mayúscula K con acento"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"mayúscula O con pecíolo"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"mayúscula G con acento agudo"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"mayúscula N con grave"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"mayúscula con doble tumba"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"mayúscula a con breve invertido"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"mayúscula E con doble tumba"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"mayúscula E con Breve invertido"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"mayúscula I con doble tumba"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"mayúscula I con Breve invertido"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"mayúscula O con doble tumba"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"mayúscula O con Breve invertido"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"mayúscula R con doble tumba"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"mayúscula R con breve invertido"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"mayúscula U con doble tumba"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"mayúscula U con breve invertido"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"mayúscula S con coma debajo"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"mayúscula T con coma debajo"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"mayúscula H con Caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"mayúscula con un punto arriba"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"mayúscula E con cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"mayúscula O con punto arriba"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"Mayúscula Y con Macron"}}},{"key":"1E00","mappings":{"default":{"default":"mayúscula A con anillo debajo"}},"category":"Lu"},{"key":"1E02","mappings":{"default":{"default":"mayúscula B con punto arriba"}},"category":"Lu"},{"key":"1E04","mappings":{"default":{"default":"mayúscula B con punto debajo"}},"category":"Lu"},{"key":"1E06","mappings":{"default":{"default":"mayúscula B con línea debajo"}},"category":"Lu"},{"key":"1E0A","mappings":{"default":{"default":"mayúscula D con punto arriba"}},"category":"Lu"},{"key":"1E0C","mappings":{"default":{"default":"mayúscula D con punto debajo"}},"category":"Lu"},{"key":"1E0E","mappings":{"default":{"default":"mayúscula D con línea debajo"}},"category":"Lu"},{"key":"1E10","mappings":{"default":{"default":"mayúscula D con cedilla"}},"category":"Lu"},{"key":"1E12","mappings":{"default":{"default":"mayúscula D con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E18","mappings":{"default":{"default":"mayúscula E con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E1A","mappings":{"default":{"default":"mayúscula E con tilde debajo"}},"category":"Lu"},{"key":"1E1E","mappings":{"default":{"default":"mayúscula F con punto arriba"}},"category":"Lu"},{"key":"1E20","mappings":{"default":{"default":"mayúscula G con macrón"}},"category":"Lu"},{"key":"1E22","mappings":{"default":{"default":"mayúscula H con punto arriba"}},"category":"Lu"},{"key":"1E24","mappings":{"default":{"default":"mayúscula H con punto debajo"}},"category":"Lu"},{"key":"1E26","mappings":{"default":{"default":"mayúscula H con diéresis"}},"category":"Lu"},{"key":"1E28","mappings":{"default":{"default":"mayúscula H con cedilla"}},"category":"Lu"},{"key":"1E2A","mappings":{"default":{"default":"mayúscula H con breve debajo"}},"category":"Lu"},{"key":"1E2C","mappings":{"default":{"default":"mayúscula I con tilde debajo"}},"category":"Lu"},{"key":"1E30","mappings":{"default":{"default":"mayúscula K con agudo"}},"category":"Lu"},{"key":"1E32","mappings":{"default":{"default":"mayúscula K con punto debajo"}},"category":"Lu"},{"key":"1E34","mappings":{"default":{"default":"mayúscula K con línea debajo"}},"category":"Lu"},{"key":"1E36","mappings":{"default":{"default":"mayúscula L con punto debajo"}},"category":"Lu"},{"key":"1E3A","mappings":{"default":{"default":"mayúscula L con línea debajo"}},"category":"Lu"},{"key":"1E3C","mappings":{"default":{"default":"mayúscula L con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E3E","mappings":{"default":{"default":"mayúscula M con agudo"}},"category":"Lu"},{"key":"1E40","mappings":{"default":{"default":"mayúscula M con punto arriba"}},"category":"Lu"},{"key":"1E42","mappings":{"default":{"default":"mayúscula M con punto debajo"}},"category":"Lu"},{"key":"1E44","mappings":{"default":{"default":"mayúscula N con punto arriba"}},"category":"Lu"},{"key":"1E46","mappings":{"default":{"default":"mayúscula N con punto debajo"}},"category":"Lu"},{"key":"1E48","mappings":{"default":{"default":"mayúscula N con línea debajo"}},"category":"Lu"},{"key":"1E4A","mappings":{"default":{"default":"mayúscula N con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E54","mappings":{"default":{"default":"mayúscula P con agudo"}},"category":"Lu"},{"key":"1E56","mappings":{"default":{"default":"mayúscula P con punto arriba"}},"category":"Lu"},{"key":"1E58","mappings":{"default":{"default":"mayúscula R con punto arriba"}},"category":"Lu"},{"key":"1E5A","mappings":{"default":{"default":"mayúscula R con punto debajo"}},"category":"Lu"},{"key":"1E5E","mappings":{"default":{"default":"mayúscula R con línea debajo"}},"category":"Lu"},{"key":"1E60","mappings":{"default":{"default":"mayúscula S con punto arriba"}},"category":"Lu"},{"key":"1E62","mappings":{"default":{"default":"mayúscula S con punto debajo"}},"category":"Lu"},{"key":"1E6A","mappings":{"default":{"default":"mayúscula T con punto arriba"}},"category":"Lu"},{"key":"1E6C","mappings":{"default":{"default":"mayúscula T con punto debajo"}},"category":"Lu"},{"key":"1E6E","mappings":{"default":{"default":"mayúscula T con línea debajo"}},"category":"Lu"},{"key":"1E70","mappings":{"default":{"default":"mayúscula T con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E72","mappings":{"default":{"default":"mayúscula U con diéresis debajo"}},"category":"Lu"},{"key":"1E74","mappings":{"default":{"default":"mayúscula U con tilde debajo"}},"category":"Lu"},{"key":"1E76","mappings":{"default":{"default":"mayúscula U con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E7C","mappings":{"default":{"default":"mayúscula V con tilde"}},"category":"Lu"},{"key":"1E7E","mappings":{"default":{"default":"mayúscula V con punto debajo"}},"category":"Lu"},{"key":"1E80","mappings":{"default":{"default":"mayúscula W con grave"}},"category":"Lu"},{"key":"1E82","mappings":{"default":{"default":"mayúscula W con agudo"}},"category":"Lu"},{"key":"1E84","mappings":{"default":{"default":"mayúscula W con diéresis"}},"category":"Lu"},{"key":"1E86","mappings":{"default":{"default":"mayúscula W con punto arriba"}},"category":"Lu"},{"key":"1E88","mappings":{"default":{"default":"mayúscula W con punto debajo"}},"category":"Lu"},{"key":"1E8A","mappings":{"default":{"default":"mayúscula X con punto arriba"}},"category":"Lu"},{"key":"1E8C","mappings":{"default":{"default":"mayúscula X con diéresis"}},"category":"Lu"},{"key":"1E8E","mappings":{"default":{"default":"mayúscula Y con punto arriba"}},"category":"Lu"},{"key":"1E90","mappings":{"default":{"default":"mayúscula Z con acento circunflejo"}},"category":"Lu"},{"key":"1E92","mappings":{"default":{"default":"mayúscula Z con punto debajo"}},"category":"Lu"},{"key":"1E94","mappings":{"default":{"default":"mayúscula Z with line below"}},"category":"Lu"},{"key":"1EA0","mappings":{"default":{"default":"mayúscula A con punto debajo"}},"category":"Lu"},{"key":"1EA2","mappings":{"default":{"default":"mayúscula A con gancho arriba"}},"category":"Lu"},{"key":"1EB8","mappings":{"default":{"default":"mayúscula E con punto debajo"}},"category":"Lu"},{"key":"1EBA","mappings":{"default":{"default":"mayúscula E con gancho arriba"}},"category":"Lu"},{"key":"1EBC","mappings":{"default":{"default":"mayúscula E con tilde"}},"category":"Lu"},{"key":"1EC8","mappings":{"default":{"default":"mayúscula I con gancho arriba"}},"category":"Lu"},{"key":"1ECA","mappings":{"default":{"default":"mayúscula I con punto debajo"}},"category":"Lu"},{"key":"1ECC","mappings":{"default":{"default":"mayúscula O con punto debajo"}},"category":"Lu"},{"key":"1ECE","mappings":{"default":{"default":"mayúscula O con gancho arriba"}},"category":"Lu"},{"key":"1EE4","mappings":{"default":{"default":"mayúscula U con punto debajo"}},"category":"Lu"},{"key":"1EE6","mappings":{"default":{"default":"mayúscula U con gancho arriba"}},"category":"Lu"},{"key":"1EF2","mappings":{"default":{"default":"mayúscula Y con grave"}},"category":"Lu"},{"key":"1EF4","mappings":{"default":{"default":"mayúscula Y con punto debajo"}},"category":"Lu"},{"key":"1EF6","mappings":{"default":{"default":"mayúscula Y con gancho arriba"}},"category":"Lu"},{"key":"1EF8","mappings":{"default":{"default":"mayúscula Y con tilde"}},"category":"Lu"}]
 ,
-"es/latin-lower-single-accent.js": 
-[{"locale":"es"},{"key":"00E0","mappings":{"default":{"default":"a grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a aguda"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a acento circunflejo"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a con tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a diéresis"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a con anillo"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c cedilla"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e aguda"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e acento circunflejo"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e diéresis"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i aguda"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i acento circunflejo"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i diéresis"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"eñe"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o aguda"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o acento circunflejo"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o con tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o diéresis"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u aguda"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u acento circunflejo"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u diéresis"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"Y aguda","defaultMP":"ye aguda"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y diéresis","defaultMP":"ye diéresis"}},"category":"Ll"},{"key":"0101","mappings":{"default":{"default":"a barra"}},"category":"Ll"},{"key":"0103","mappings":{"default":{"default":"a con breve"}},"category":"Ll"},{"key":"0105","mappings":{"default":{"default":"a con ogonek"}},"category":"Ll"},{"key":"0107","mappings":{"default":{"default":"c con agudo"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c con acento circunflejo"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c con punto arriba"}},"category":"Ll"},{"key":"010D","mappings":{"default":{"default":"c con carón"}},"category":"Ll"},{"key":"010F","mappings":{"default":{"default":"d con carón"}},"category":"Ll"},{"key":"0113","mappings":{"default":{"default":"e barra"}},"category":"Ll"},{"key":"0117","mappings":{"default":{"default":"e con punto arriba"}},"category":"Ll"},{"key":"0119","mappings":{"default":{"default":"e con ogonek"}},"category":"Ll"},{"key":"011B","mappings":{"default":{"default":"e con carón"}},"category":"Ll"},{"key":"011D","mappings":{"default":{"default":"g con acento circunflejo"}},"category":"Ll"},{"key":"011F","mappings":{"default":{"default":"g con breve"}},"category":"Ll"},{"key":"0121","mappings":{"default":{"default":"g con punto arriba"}},"category":"Ll"},{"key":"0125","mappings":{"default":{"default":"h con acento circunflejo"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i con tilde"}},"category":"Ll"},{"key":"012B","mappings":{"default":{"default":"i barra"}},"category":"Ll"},{"key":"012F","mappings":{"default":{"default":"i con ogonek"}},"category":"Ll"},{"key":"0131","mappings":{"default":{"default":"i sin punto"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j con acento circunflejo"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k con cedilla"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l con agudo"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l con cedilla"}},"category":"Ll"},{"key":"013E","mappings":{"default":{"default":"l con carón"}},"category":"Ll"},{"key":"0140","mappings":{"default":{"default":"l con punto mediano"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n con agudo"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n con cedilla"}},"category":"Ll"},{"key":"0148","mappings":{"default":{"default":"n con carón"}},"category":"Ll"},{"key":"014D","mappings":{"default":{"default":"o barra"}},"category":"Ll"},{"key":"0151","mappings":{"default":{"default":"o con doble acento agudo"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r con agudo"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r con cedilla"}},"category":"Ll"},{"key":"0159","mappings":{"default":{"default":"r con carón"}},"category":"Ll"},{"key":"015B","mappings":{"default":{"default":"s con agudo"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s con acento circunflejo"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s con cedilla"}},"category":"Ll"},{"key":"0161","mappings":{"default":{"default":"s con carón"}},"category":"Ll"},{"key":"0163","mappings":{"default":{"default":"t con cedilla"}},"category":"Ll"},{"key":"0165","mappings":{"default":{"default":"t con carón"}},"category":"Ll"},{"key":"0169","mappings":{"default":{"default":"u con tilde"}},"category":"Ll"},{"key":"016B","mappings":{"default":{"default":"u barra"}},"category":"Ll"},{"key":"016D","mappings":{"default":{"default":"u con breve"}},"category":"Ll"},{"key":"016F","mappings":{"default":{"default":"u con anillo arriba"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u con doble acento agudo"}},"category":"Ll"},{"key":"0173","mappings":{"default":{"default":"u con ogonek"}},"category":"Ll"},{"key":"0175","mappings":{"default":{"default":"w con circunflejo"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y con circunflejo"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z con agudo"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z con punto"}},"category":"Ll"},{"key":"017E","mappings":{"default":{"default":"z con carón"}},"category":"Ll"},{"key":"01F5","mappings":{"default":{"default":"g con agudo"}},"category":"Ll"},{"key":"1E01","mappings":{"default":{"default":"a con anillo debajo"}},"category":"Ll"},{"key":"1E03","mappings":{"default":{"default":"b con punto arriba"}},"category":"Ll"},{"key":"1E05","mappings":{"default":{"default":"b con punto debajo"}},"category":"Ll"},{"key":"1E07","mappings":{"default":{"default":"b con línea debajo"}},"category":"Ll"},{"key":"1E0B","mappings":{"default":{"default":"d con punto arriba"}},"category":"Ll"},{"key":"1E0D","mappings":{"default":{"default":"d con punto debajo"}},"category":"Ll"},{"key":"1E0F","mappings":{"default":{"default":"d con línea debajo"}},"category":"Ll"},{"key":"1E11","mappings":{"default":{"default":"d con cedilla"}},"category":"Ll"},{"key":"1E13","mappings":{"default":{"default":"d con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E19","mappings":{"default":{"default":"e con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E1B","mappings":{"default":{"default":"e con tilde debajo"}},"category":"Ll"},{"key":"1E1F","mappings":{"default":{"default":"f con punto arriba"}},"category":"Ll"},{"key":"1E21","mappings":{"default":{"default":"g con macrón"}},"category":"Ll"},{"key":"1E23","mappings":{"default":{"default":"h con punto arriba"}},"category":"Ll"},{"key":"1E25","mappings":{"default":{"default":"h con punto debajo"}},"category":"Ll"},{"key":"1E27","mappings":{"default":{"default":"h con diéresis"}},"category":"Ll"},{"key":"1E29","mappings":{"default":{"default":"h con cedilla"}},"category":"Ll"},{"key":"1E2B","mappings":{"default":{"default":"h con breve debajo"}},"category":"Ll"},{"key":"1E2D","mappings":{"default":{"default":"i con tilde debajo"}},"category":"Ll"},{"key":"1E31","mappings":{"default":{"default":"k con agudo"}},"category":"Ll"},{"key":"1E33","mappings":{"default":{"default":"k con punto debajo"}},"category":"Ll"},{"key":"1E35","mappings":{"default":{"default":"k con línea debajo"}},"category":"Ll"},{"key":"1E37","mappings":{"default":{"default":"l con punto debajo"}},"category":"Ll"},{"key":"1E3B","mappings":{"default":{"default":"l con línea debajo"}},"category":"Ll"},{"key":"1E3D","mappings":{"default":{"default":"l con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E3F","mappings":{"default":{"default":"m con agudo"}},"category":"Ll"},{"key":"1E41","mappings":{"default":{"default":"m con punto arriba"}},"category":"Ll"},{"key":"1E43","mappings":{"default":{"default":"m con punto debajo"}},"category":"Ll"},{"key":"1E45","mappings":{"default":{"default":"n con punto arriba"}},"category":"Ll"},{"key":"1E47","mappings":{"default":{"default":"n con punto debajo"}},"category":"Ll"},{"key":"1E49","mappings":{"default":{"default":"n con línea debajo"}},"category":"Ll"},{"key":"1E4B","mappings":{"default":{"default":"n con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E55","mappings":{"default":{"default":"p con agudo"}},"category":"Ll"},{"key":"1E57","mappings":{"default":{"default":"p con punto arriba"}},"category":"Ll"},{"key":"1E59","mappings":{"default":{"default":"r con punto arriba"}},"category":"Ll"},{"key":"1E5B","mappings":{"default":{"default":"r con punto debajo"}},"category":"Ll"},{"key":"1E5F","mappings":{"default":{"default":"r con línea debajo"}},"category":"Ll"},{"key":"1E61","mappings":{"default":{"default":"s con punto arriba"}},"category":"Ll"},{"key":"1E63","mappings":{"default":{"default":"s con punto debajo"}},"category":"Ll"},{"key":"1E6B","mappings":{"default":{"default":"t con punto arriba"}},"category":"Ll"},{"key":"1E6D","mappings":{"default":{"default":"t con punto debajo"}},"category":"Ll"},{"key":"1E6F","mappings":{"default":{"default":"t con línea debajo"}},"category":"Ll"},{"key":"1E71","mappings":{"default":{"default":"t con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E73","mappings":{"default":{"default":"u con diéresis debajo"}},"category":"Ll"},{"key":"1E75","mappings":{"default":{"default":"u con tilde debajo"}},"category":"Ll"},{"key":"1E77","mappings":{"default":{"default":"u con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E7D","mappings":{"default":{"default":"v con tilde"}},"category":"Ll"},{"key":"1E7F","mappings":{"default":{"default":"v con punto debajo"}},"category":"Ll"},{"key":"1E81","mappings":{"default":{"default":"w con grave"}},"category":"Ll"},{"key":"1E83","mappings":{"default":{"default":"w con agudo"}},"category":"Ll"},{"key":"1E85","mappings":{"default":{"default":"w con diéresis"}},"category":"Ll"},{"key":"1E87","mappings":{"default":{"default":"w con punto arriba"}},"category":"Ll"},{"key":"1E89","mappings":{"default":{"default":"w con punto debajo"}},"category":"Ll"},{"key":"1E8B","mappings":{"default":{"default":"x con punto arriba"}},"category":"Ll"},{"key":"1E8D","mappings":{"default":{"default":"x con diéresis"}},"category":"Ll"},{"key":"1E8F","mappings":{"default":{"default":"y con punto arriba"}},"category":"Ll"},{"key":"1E91","mappings":{"default":{"default":"z con acento circunflejo"}},"category":"Ll"},{"key":"1E93","mappings":{"default":{"default":"z con punto debajo"}},"category":"Ll"},{"key":"1E95","mappings":{"default":{"default":"z con línea debajo"}},"category":"Ll"},{"key":"1E96","mappings":{"default":{"default":"h con línea debajo"}},"category":"Ll"},{"key":"1E97","mappings":{"default":{"default":"t con diéresis"}},"category":"Ll"},{"key":"1E98","mappings":{"default":{"default":"w con anillo arriba"}},"category":"Ll"},{"key":"1E99","mappings":{"default":{"default":"y con anillo arriba"}},"category":"Ll"},{"key":"1E9A","mappings":{"default":{"default":"a con medio derecho de anillo"}},"category":"Ll"},{"key":"1EA1","mappings":{"default":{"default":"a con punto debajo"}},"category":"Ll"},{"key":"1EA3","mappings":{"default":{"default":"a con gancho arriba"}},"category":"Ll"},{"key":"1EB9","mappings":{"default":{"default":"e con punto debajo"}},"category":"Ll"},{"key":"1EBB","mappings":{"default":{"default":"e con gancho arriba"}},"category":"Ll"},{"key":"1EBD","mappings":{"default":{"default":"e con tilde"}},"category":"Ll"},{"key":"1EC9","mappings":{"default":{"default":"i con gancho arriba"}},"category":"Ll"},{"key":"1ECB","mappings":{"default":{"default":"i con punto debajo"}},"category":"Ll"},{"key":"1ECD","mappings":{"default":{"default":"o con punto debajo"}},"category":"Ll"},{"key":"1ECF","mappings":{"default":{"default":"o con gancho arriba"}},"category":"Ll"},{"key":"1EE5","mappings":{"default":{"default":"u con punto debajo"}},"category":"Ll"},{"key":"1EE7","mappings":{"default":{"default":"u con gancho arriba"}},"category":"Ll"},{"key":"1EF3","mappings":{"default":{"default":"y con grave"}},"category":"Ll"},{"key":"1EF5","mappings":{"default":{"default":"y con punto debajo"}},"category":"Ll"},{"key":"1EF7","mappings":{"default":{"default":"y con gancho arriba"}},"category":"Ll"},{"key":"1EF9","mappings":{"default":{"default":"y con tilde"}},"category":"Ll"}]
+"es/symbols/math_angles.js": 
+[{"locale":"es"},{"key":"22BE","mappings":{"default":{"default":"ángulo recto con arco"}},"category":"Sm"},{"key":"237C","mappings":{"default":{"default":"ángulo recto con flecha zigzag hacia abajo"}},"category":"Sm"},{"key":"27C0","mappings":{"default":{"default":"ángulo sólido"}},"category":"Sm"},{"category":"Sm","key":"299B","mappings":{"default":{"default":"Ángulo medido de apertura a la izquierda"}}},{"category":"Sm","key":"299C","mappings":{"default":{"default":"Variante de ángulo recto con cuadrado"}}},{"key":"299D","mappings":{"default":{"default":"ángulo recto medido con punto"}},"category":"Sm"},{"category":"Sm","key":"299E","mappings":{"default":{"default":"Ángulo con S dentro"}}},{"category":"Sm","key":"299F","mappings":{"default":{"default":"Ángulo agudo"}}},{"category":"Sm","key":"29A0","mappings":{"default":{"default":"Ángulo esférico de apertura a la izquierda"}}},{"category":"Sm","key":"29A1","mappings":{"default":{"default":"Apertura de ángulo esférico"}}},{"category":"Sm","key":"29A2","mappings":{"default":{"default":"Ángulo de giro"}}},{"category":"Sm","key":"29A3","mappings":{"default":{"default":"Ángulo invertido"}}},{"key":"29A4","mappings":{"default":{"default":"ángulo con barra inferior"}},"category":"Sm"},{"key":"29A5","mappings":{"default":{"default":"ángulo inverso con barra inferior"}},"category":"Sm"},{"key":"29A6","mappings":{"default":{"default":"ángulo oblicuo hacia arriba"}},"category":"Sm"},{"key":"29A7","mappings":{"default":{"default":"ángulo oblicuo hacia abajo"}},"category":"Sm"},{"key":"29A8","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the right"}},"category":"Sm"},{"key":"29A9","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the left"}},"category":"Sm"},{"key":"29AA","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the right"}},"category":"Sm"},{"key":"29AB","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the left"}},"category":"Sm"},{"key":"29AC","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"category":"Sm"},{"key":"29AD","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"category":"Sm"},{"key":"29AE","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"category":"Sm"},{"key":"29AF","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"category":"Sm"}]
 ,
-"es/latin-mathfonts-bold-fraktur.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula A"}},"key":"1D56C"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula B"}},"key":"1D56D"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula C"}},"key":"1D56E"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula D"}},"key":"1D56F"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula E"}},"key":"1D570"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula F"}},"key":"1D571"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula G"}},"key":"1D572"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula H"}},"key":"1D573"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula I"}},"key":"1D574"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula J"}},"key":"1D575"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula K"}},"key":"1D576"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula L"}},"key":"1D577"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula M"}},"key":"1D578"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula N"}},"key":"1D579"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula O"}},"key":"1D57A"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula P"}},"key":"1D57B"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula Q"}},"key":"1D57C"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula R"}},"key":"1D57D"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula S"}},"key":"1D57E"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula T"}},"key":"1D57F"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula U"}},"key":"1D580"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula V"}},"key":"1D581"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula W"}},"key":"1D582"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula X"}},"key":"1D583"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula Y"}},"key":"1D584"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula Z"}},"key":"1D585"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur a"}},"key":"1D586"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur b"}},"key":"1D587"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur c"}},"key":"1D588"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur d"}},"key":"1D589"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur e"}},"key":"1D58A"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur f"}},"key":"1D58B"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur g"}},"key":"1D58C"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur h"}},"key":"1D58D"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur i"}},"key":"1D58E"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur j"}},"key":"1D58F"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur k"}},"key":"1D590"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur l"}},"key":"1D591"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur m"}},"key":"1D592"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur n"}},"key":"1D593"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur o"}},"key":"1D594"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur p"}},"key":"1D595"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur q"}},"key":"1D596"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur r"}},"key":"1D597"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur s"}},"key":"1D598"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur t"}},"key":"1D599"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur u"}},"key":"1D59A"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur v"}},"key":"1D59B"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur w"}},"key":"1D59C"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur x"}},"key":"1D59D"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur y"}},"key":"1D59E"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur z"}},"key":"1D59F"}]
+"es/symbols/math_arrows.js": 
+[{"locale":"es"},{"key":"2190","mappings":{"default":{"default":"flecha izquierda"}},"category":"Sm"},{"key":"2191","mappings":{"default":{"default":"flecha arriba"}},"category":"Sm"},{"key":"2192","mappings":{"default":{"default":"flecha derecha","defaultMP":"flecha"}},"category":"Sm"},{"key":"2193","mappings":{"default":{"default":"flecha abajo"}},"category":"Sm"},{"key":"2194","mappings":{"default":{"default":"flecha izquierda y derecha"}},"category":"Sm"},{"key":"2195","mappings":{"default":{"default":"flecha arriba y abajo"}},"category":"So"},{"key":"2196","mappings":{"default":{"default":"flecha a noroeste"}},"category":"So"},{"key":"2197","mappings":{"default":{"default":"flecha a nordeste"}},"category":"So"},{"key":"2198","mappings":{"default":{"default":"flecha a sureste"}},"category":"So"},{"key":"2199","mappings":{"default":{"default":"flecha a suroeste"}},"category":"So"},{"key":"219A","mappings":{"default":{"default":"flecha izquierda tachada"}},"category":"Sm"},{"key":"219B","mappings":{"default":{"default":"flecha tachada"}},"category":"Sm"},{"key":"219C","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"219D","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"219E","mappings":{"default":{"default":"flecha izquierda con doble punta"}},"category":"So"},{"key":"219F","mappings":{"default":{"default":"flecha con doble punta hacia arriba"}},"category":"So"},{"key":"21A0","mappings":{"default":{"default":"flecha derechaa con doble punta"}},"category":"Sm"},{"key":"21A1","mappings":{"default":{"default":"flecha con doble punta hacia abajo"}},"category":"So"},{"key":"21A2","mappings":{"default":{"default":"flecha izquierda con cola"}},"category":"So"},{"key":"21A3","mappings":{"default":{"default":"flecha derecha con cola"}},"category":"Sm"},{"key":"21A4","mappings":{"default":{"default":"flecha izquierda de barra"}},"category":"So"},{"key":"21A5","mappings":{"default":{"default":"barra con flecha"}},"category":"So"},{"key":"21A6","mappings":{"default":{"default":"flecha derecha de barra"}},"category":"Sm"},{"key":"21A7","mappings":{"default":{"default":"flecha con barra"}},"category":"So"},{"key":"21A8","mappings":{"default":{"default":"flecha arriba y abajo con base"}},"category":"So"},{"key":"21A9","mappings":{"default":{"default":"flecha izquierda con gancho"}},"category":"So"},{"key":"21AA","mappings":{"default":{"default":"flecha con gancho"}},"category":"So"},{"key":"21AB","mappings":{"default":{"default":"flecha izquierda con lazo"}},"category":"So"},{"key":"21AC","mappings":{"default":{"default":"flecha con lazo"}},"category":"So"},{"key":"21AD","mappings":{"default":{"default":"flecha ondulada izquierda y derecha"}},"category":"So"},{"key":"21AE","mappings":{"default":{"default":"flecha izquierda y derecha tachada"}},"category":"Sm"},{"key":"21AF","mappings":{"default":{"default":"flecha zigzag abajo"}},"category":"So"},{"key":"21B0","mappings":{"default":{"default":"flecha arriba con punta izquierda"}},"category":"So"},{"key":"21B1","mappings":{"default":{"default":"flecha arriba con punta derecha"}},"category":"So"},{"key":"21B2","mappings":{"default":{"default":"flecha abajo con punta izquierda"}},"category":"So"},{"key":"21B3","mappings":{"default":{"default":"flecha abajo con punta derecha"}},"category":"So"},{"key":"21B4","mappings":{"default":{"default":"flecha derecha desde esquina inferior"}},"category":"So"},{"key":"21B5","mappings":{"default":{"default":"flecha hacia abajo desde esquina izquierda"}},"category":"So"},{"key":"21B6","mappings":{"default":{"default":"flecha semicircular superior en sentido antihorario"}},"category":"So"},{"key":"21B7","mappings":{"default":{"default":"flecha semicircular superior en sentido horario"}},"category":"So"},{"key":"21B8","mappings":{"default":{"default":"flecha noroeste a barra larga"}},"category":"So"},{"key":"21B9","mappings":{"default":{"default":"flecha izquierda a barra arriba de flecha derecha a barra"}},"category":"So"},{"key":"21BA","mappings":{"default":{"default":"flecha circular abierta en sentido antihorario"}},"category":"So"},{"key":"21BB","mappings":{"default":{"default":"flecha circular abierta en sentido horario"}},"category":"So"},{"key":"21C4","mappings":{"default":{"default":"flecha derecha arriba de flecha izquierda"}},"category":"So"},{"key":"21C5","mappings":{"default":{"default":"flecha arriba a la izquierda de flecha abajo"}},"category":"So"},{"key":"21C6","mappings":{"default":{"default":"flecha izquierda arriba de flecha derecha"}},"category":"So"},{"key":"21C7","mappings":{"default":{"default":"dos flechas hacia la izquierda"}},"category":"So"},{"key":"21C8","mappings":{"default":{"default":"dos flechas hacia arriba"}},"category":"So"},{"key":"21C9","mappings":{"default":{"default":"dos flechas"}},"category":"So"},{"key":"21CA","mappings":{"default":{"default":"dos flechas hacia abajo"}},"category":"So"},{"key":"21CD","mappings":{"default":{"default":"flecha doble izquierda tachada"}},"category":"So"},{"key":"21CE","mappings":{"default":{"default":"flecha doble izquierda y derecha tachada"}},"category":"Sm"},{"key":"21CF","mappings":{"default":{"default":"flecha doble tachada"}},"category":"Sm"},{"key":"21D0","mappings":{"default":{"default":"flecha doble hacia la izquierda"}},"category":"So"},{"key":"21D1","mappings":{"default":{"default":"flecha doble hacia arriba"}},"category":"So"},{"key":"21D2","mappings":{"default":{"default":"flecha doble"}},"category":"Sm"},{"key":"21D3","mappings":{"default":{"default":"flecha doble hacia abajo"}},"category":"So"},{"key":"21D4","mappings":{"default":{"default":"flecha doble izquierda-derecha"}},"category":"Sm"},{"key":"21D5","mappings":{"default":{"default":"flecha doble vertical"}},"category":"So"},{"key":"21D6","mappings":{"default":{"default":"flecha doble hacia noroeste"}},"category":"So"},{"key":"21D7","mappings":{"default":{"default":"flecha doble hacia nordeste"}},"category":"So"},{"key":"21D8","mappings":{"default":{"default":"flecha doble hacia sudeste"}},"category":"So"},{"key":"21D9","mappings":{"default":{"default":"flecha doble hacia sudoeste"}},"category":"So"},{"key":"21DA","mappings":{"default":{"default":"flecha triple izquierda"}},"category":"So"},{"key":"21DB","mappings":{"default":{"default":"flecha triple"}},"category":"So"},{"key":"21DC","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"21DD","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"21DE","mappings":{"default":{"default":"flecha hacia arriba con doble tachado"}},"category":"So"},{"key":"21DF","mappings":{"default":{"default":"flecha hacia abajo con doble tachado"}},"category":"So"},{"key":"21E0","mappings":{"default":{"default":"flecha de puntos hacia la izquierda"}},"category":"So"},{"key":"21E1","mappings":{"default":{"default":"flecha de puntos hacia arriba"}},"category":"So"},{"key":"21E2","mappings":{"default":{"default":"flecha de puntos"}},"category":"So"},{"key":"21E3","mappings":{"default":{"default":"flecha de puntos hacia abajo"}},"category":"So"},{"key":"21E4","mappings":{"default":{"default":"flecha izquierda a barra"}},"category":"So"},{"key":"21E5","mappings":{"default":{"default":"flecha derecha a barra"}},"category":"So"},{"key":"21E6","mappings":{"default":{"default":"flecha vacía hacia la izquierda"}},"category":"So"},{"key":"21E7","mappings":{"default":{"default":"flecha vacía hacia arriba"}},"category":"So"},{"key":"21E8","mappings":{"default":{"default":"flecha vacía"}},"category":"So"},{"key":"21E9","mappings":{"default":{"default":"flecha vacía hacia abajo"}},"category":"So"},{"key":"21EA","mappings":{"default":{"default":"flecha vacía hacia arriba desde barra"}},"category":"So"},{"category":"So","key":"21EB","mappings":{"default":{"default":"flecha blanca hacia arriba en el pedestal"}}},{"category":"So","key":"21EC","mappings":{"default":{"default":"flecha blanca hacia arriba sobre pedestal con barra horizontal"}}},{"category":"So","key":"21ED","mappings":{"default":{"default":"flecha blanca hacia arriba sobre pedestal con barra vertical"}}},{"category":"So","key":"21EE","mappings":{"default":{"default":"flecha doble hacia arriba blanca"}}},{"category":"So","key":"21EF","mappings":{"default":{"default":"flecha doble hacia arriba blanca en pedestal"}}},{"category":"So","key":"21F0","mappings":{"default":{"default":"flecha blanca hacia la derecha de la pared"}}},{"category":"So","key":"21F1","mappings":{"default":{"default":"flecha del noroeste a la esquina"}}},{"category":"So","key":"21F2","mappings":{"default":{"default":"flecha del sudeste a la esquina"}}},{"category":"So","key":"21F3","mappings":{"default":{"default":"arriba abajo flecha blanca"}}},{"category":"Sm","key":"21F4","mappings":{"default":{"default":"flecha derecha con círculo pequeño"}}},{"key":"21F5","mappings":{"default":{"default":"upwards arrow to the right of downwards arrow"}},"category":"Sm"},{"category":"Sm","key":"21F6","mappings":{"default":{"default":"tres flechas a la derecha"}}},{"category":"Sm","key":"21F7","mappings":{"default":{"default":"flecha hacia la izquierda con trazo vertical"}}},{"category":"Sm","key":"21F8","mappings":{"default":{"default":"flecha hacia la derecha con trazo vertical"}}},{"category":"Sm","key":"21F9","mappings":{"default":{"default":"flecha izquierda derecha con trazo vertical"}}},{"category":"Sm","key":"21FA","mappings":{"default":{"default":"flecha hacia la izquierda con doble trazo vertical"}}},{"category":"Sm","key":"21FB","mappings":{"default":{"default":"flecha hacia la derecha con doble trazo vertical"}}},{"category":"Sm","key":"21FC","mappings":{"default":{"default":"flecha izquierda derecha con doble trazo vertical"}}},{"key":"21FD","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FE","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FF","mappings":{"default":{"default":"flecha izquierda derecha con punta vacía"}},"category":"Sm"},{"category":"So","key":"2301","mappings":{"default":{"default":"flecha electrica"}}},{"category":"So","key":"2303","mappings":{"default":{"default":"flecha arriba"}}},{"category":"So","key":"2304","mappings":{"default":{"default":"flecha hacia abajo"}}},{"category":"So","key":"2324","mappings":{"default":{"default":"flecha arriba entre dos barras horizontales"}}},{"category":"So","key":"238B","mappings":{"default":{"default":"círculo roto con la flecha del noroeste"}}},{"category":"So","key":"2794","mappings":{"default":{"default":"flecha hacia la derecha con cabeza ancha"}}},{"category":"So","key":"2798","mappings":{"default":{"default":"flecha Sureste pesada"}}},{"category":"So","key":"2799","mappings":{"default":{"default":"flecha hacia la derecha pesada"}}},{"category":"So","key":"279A","mappings":{"default":{"default":"flecha pesada del noreste"}}},{"category":"So","key":"279B","mappings":{"default":{"default":"punto de dibujo Flecha hacia la derecha"}}},{"category":"So","key":"279C","mappings":{"default":{"default":"flecha hacia la derecha con punta redonda redonda"}}},{"category":"So","key":"279D","mappings":{"default":{"default":"flecha hacia la derecha con forma de triángulo"}}},{"category":"So","key":"279E","mappings":{"default":{"default":"flecha hacia la derecha con forma de triángulo pesado"}}},{"category":"So","key":"279F","mappings":{"default":{"default":"triángulo punteado hacia la flecha hacia la derecha"}}},{"category":"So","key":"27A0","mappings":{"default":{"default":"flecha hacia la derecha con forma de triángulo de trazo pesado"}}},{"category":"So","key":"27A1","mappings":{"default":{"default":"flecha hacia la derecha negra"}}},{"category":"So","key":"27A2","mappings":{"default":{"default":"punta de flecha tridimensional hacia la derecha hacia arriba"}}},{"category":"So","key":"27A3","mappings":{"default":{"default":"punta de flecha hacia la derecha con iluminación inferior en tres dimensiones"}}},{"category":"So","key":"27A4","mappings":{"default":{"default":"punta de flecha negra hacia la derecha"}}},{"category":"So","key":"27A5","mappings":{"default":{"default":"pesado negro curvado hacia abajo y hacia la derecha flecha"}}},{"category":"So","key":"27A6","mappings":{"default":{"default":"pesado negro curvado hacia arriba y hacia la derecha flecha"}}},{"category":"So","key":"27A7","mappings":{"default":{"default":"squat Black Arrow hacia la derecha"}}},{"category":"So","key":"27A8","mappings":{"default":{"default":"flecha hacia la derecha de color negro cóncava puntiaguda pesada"}}},{"category":"So","key":"27A9","mappings":{"default":{"default":"sombra derecha flecha blanca hacia la derecha"}}},{"category":"So","key":"27AA","mappings":{"default":{"default":"sombra hacia la izquierda blanca a la izquierda"}}},{"category":"So","key":"27AB","mappings":{"default":{"default":"back-Tilted Shadowed White Right Arrow"}}},{"category":"So","key":"27AC","mappings":{"default":{"default":"flecha hacia la derecha blanca sombreada inclinada hacia delante"}}},{"category":"So","key":"27AD","mappings":{"default":{"default":"flecha hacia la derecha pesada inferior, sombreada a la derecha, blanca"}}},{"category":"So","key":"27AE","mappings":{"default":{"default":"flecha hacia la derecha blanca superior derecha sombreada pesada"}}},{"category":"So","key":"27AF","mappings":{"default":{"default":"con muesca, flecha derecha hacia abajo, a la derecha, hacia la derecha"}}},{"category":"So","key":"27B1","mappings":{"default":{"default":"con muescas, flecha derecha hacia arriba, a la derecha, hacia la derecha"}}},{"category":"So","key":"27B2","mappings":{"default":{"default":"círculo pesado blanco flecha hacia la derecha"}}},{"category":"So","key":"27B3","mappings":{"default":{"default":"flecha hacia la derecha con plumas blancas"}}},{"category":"So","key":"27B4","mappings":{"default":{"default":"flecha suroriental de plumas negras"}}},{"category":"So","key":"27B5","mappings":{"default":{"default":"flecha hacia la derecha con plumas negras"}}},{"category":"So","key":"27B6","mappings":{"default":{"default":"flecha del noreste con plumas negras"}}},{"category":"So","key":"27B7","mappings":{"default":{"default":"flecha suroriental con plumas negras pesadas"}}},{"category":"So","key":"27B8","mappings":{"default":{"default":"flecha derecha pesada con plumas negras"}}},{"category":"So","key":"27B9","mappings":{"default":{"default":"flecha del noreste con plumas negras pesadas"}}},{"category":"So","key":"27BA","mappings":{"default":{"default":"lágrima-flecha de flecha hacia la derecha"}}},{"category":"So","key":"27BB","mappings":{"default":{"default":"flecha hacia la derecha con forma de lágrima pesada"}}},{"category":"So","key":"27BC","mappings":{"default":{"default":"flecha hacia la derecha de cola de cuña"}}},{"category":"So","key":"27BD","mappings":{"default":{"default":"flecha hacia la derecha de cola de cuña pesada"}}},{"category":"So","key":"27BE","mappings":{"default":{"default":"open-Outlined Outward Arrow"}}},{"key":"27F0","mappings":{"default":{"default":"flecha cuádruple hacia arriba"}},"category":"Sm"},{"key":"27F1","mappings":{"default":{"default":"flecha cuádruple hacia abajo"}},"category":"Sm"},{"key":"27F2","mappings":{"default":{"default":"flecha hacia la izquierda desde círculo"}},"category":"Sm"},{"key":"27F3","mappings":{"default":{"default":"flecha hacia la derecha desde círculo"}},"category":"Sm"},{"key":"27F4","mappings":{"default":{"default":"flecha con más en círculo"}},"category":"Sm"},{"key":"27F5","mappings":{"default":{"default":"flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F6","mappings":{"default":{"default":"flecha larga"}},"category":"Sm"},{"key":"27F7","mappings":{"default":{"default":"flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27F8","mappings":{"default":{"default":"doble flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F9","mappings":{"default":{"default":"doble flecha larga"}},"category":"Sm"},{"key":"27FA","mappings":{"default":{"default":"doble flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27FB","mappings":{"default":{"default":"flecha larga hacia la izquierda, desde barra"}},"category":"Sm"},{"key":"27FC","mappings":{"default":{"default":"flecha larga desde barra"}},"category":"Sm"},{"key":"27FD","mappings":{"default":{"default":"doble flecha larga hacia la izquierda desde barra"}},"category":"Sm"},{"key":"27FE","mappings":{"default":{"default":"doble flecha larga desde barra"}},"category":"Sm"},{"key":"27FF","mappings":{"default":{"default":"flecha larga en zigzag"}},"category":"Sm"},{"category":"Sm","key":"2900","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con trazo vertical"}}},{"category":"Sm","key":"2901","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con doble movimiento vertical"}}},{"category":"Sm","key":"2902","mappings":{"default":{"default":"doble flecha hacia la izquierda con trazo vertical"}}},{"category":"Sm","key":"2903","mappings":{"default":{"default":"doble flecha hacia la derecha con trazo vertical"}}},{"category":"Sm","key":"2904","mappings":{"default":{"default":"izquierda Derecha Doble Flecha con Trazo Vertical"}}},{"key":"2905","mappings":{"default":{"default":"rightwards two headed arrow from bar"}},"category":"Sm"},{"category":"Sm","key":"2906","mappings":{"default":{"default":"doble flecha hacia la izquierda de la barra"}}},{"category":"Sm","key":"2907","mappings":{"default":{"default":"flecha doble hacia la derecha de la barra"}}},{"category":"Sm","key":"2908","mappings":{"default":{"default":"flecha hacia abajo con trazo horizontal"}}},{"category":"Sm","key":"2909","mappings":{"default":{"default":"flecha hacia arriba con trazo horizontal"}}},{"category":"Sm","key":"290A","mappings":{"default":{"default":"flecha triple hacia arriba"}}},{"category":"Sm","key":"290B","mappings":{"default":{"default":"triple flecha hacia abajo"}}},{"key":"290C","mappings":{"default":{"default":"leftwards double dash arrow"}},"category":"Sm"},{"key":"290D","mappings":{"default":{"default":"rightwards double dash arrow"}},"category":"Sm"},{"key":"290E","mappings":{"default":{"default":"leftwards triple dash arrow"}},"category":"Sm"},{"key":"290F","mappings":{"default":{"default":"rightwards triple dash arrow"}},"category":"Sm"},{"key":"2910","mappings":{"default":{"default":"rightwards two headed triple dash arrow"}},"category":"Sm"},{"key":"2911","mappings":{"default":{"default":"rightwards arrow with dotted stem"}},"category":"Sm"},{"key":"2912","mappings":{"default":{"default":"upwards arrow to bar"}},"category":"Sm"},{"key":"2913","mappings":{"default":{"default":"downwards arrow to bar"}},"category":"Sm"},{"category":"Sm","key":"2914","mappings":{"default":{"default":"flecha hacia la derecha con cola con trazo vertical"}}},{"category":"Sm","key":"2915","mappings":{"default":{"default":"flecha hacia la derecha con la cola con doble trazo vertical"}}},{"key":"2916","mappings":{"default":{"default":"rightwards two headed arrow with tail"}},"category":"Sm"},{"category":"Sm","key":"2917","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con cola con trazo vertical"}}},{"category":"Sm","key":"2918","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con cola con doble movimiento vertical"}}},{"key":"2919","mappings":{"default":{"default":"cola de flecha hacia la izquierda"}},"category":"Sm"},{"category":"Sm","key":"291A","mappings":{"default":{"default":"flecha hacia la derecha"}}},{"key":"291B","mappings":{"default":{"default":"cola de doble flecha hacia la izquierda"}},"category":"Sm"},{"key":"291C","mappings":{"default":{"default":"cola de doble flecha hacia la derecha"}},"category":"Sm"},{"key":"291D","mappings":{"default":{"default":"flecha hacia diamante relleno a la izquierda"}},"category":"Sm"},{"key":"291E","mappings":{"default":{"default":"flecha hacia diamante a la derecha"}},"category":"Sm"},{"key":"291F","mappings":{"default":{"default":"flecha desde barra hacia diamante a la izquierda"}},"category":"Sm"},{"key":"2920","mappings":{"default":{"default":"flecha desde barra hacia diamante a la derecha"}},"category":"Sm"},{"category":"Sm","key":"2921","mappings":{"default":{"default":"flechas del noroeste y sureste"}}},{"category":"Sm","key":"2922","mappings":{"default":{"default":"flecha noreste y sudoeste"}}},{"key":"2923","mappings":{"default":{"default":"flecha a noroeste con garfio"}},"category":"Sm"},{"key":"2924","mappings":{"default":{"default":"flecha a nordeste con garfio"}},"category":"Sm"},{"key":"2925","mappings":{"default":{"default":"flecha a sureste con garfio"}},"category":"Sm"},{"key":"2926","mappings":{"default":{"default":"flecha a suroeste con garfio"}},"category":"Sm"},{"key":"2927","mappings":{"default":{"default":"flechas a noroeste y nordeste"}},"category":"Sm"},{"key":"2928","mappings":{"default":{"default":"flechas a nordeste y sudeste"}},"category":"Sm"},{"key":"2929","mappings":{"default":{"default":"flechas a suddeste y sudoeste"}},"category":"Sm"},{"key":"292A","mappings":{"default":{"default":"flechas a sudoeste y noroeste"}},"category":"Sm"},{"category":"Sm","key":"292D","mappings":{"default":{"default":"flecha Sureste Cruzando Flecha Noreste"}}},{"category":"Sm","key":"292E","mappings":{"default":{"default":"north East Arrow Crossing South East Arrow"}}},{"category":"Sm","key":"292F","mappings":{"default":{"default":"caída en diagonal que cruza la flecha noreste"}}},{"category":"Sm","key":"2930","mappings":{"default":{"default":"creciente Cruce de la Cruz del Sureste de la Flecha"}}},{"category":"Sm","key":"2931","mappings":{"default":{"default":"north East Arrow Crossing North West Arrow"}}},{"category":"Sm","key":"2932","mappings":{"default":{"default":"north West Arrow Crossing North East Arrow"}}},{"key":"2933","mappings":{"default":{"default":"flecha ondulada"}},"category":"Sm"},{"category":"Sm","key":"2934","mappings":{"default":{"default":"flecha que apunta hacia la derecha y luego curva hacia arriba"}}},{"key":"2935","mappings":{"default":{"default":"flecha hacia la derecha que gira hacia abajo"}},"category":"Sm"},{"key":"2936","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la izquierda"}},"category":"Sm"},{"key":"2937","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la derecha"}},"category":"Sm"},{"key":"2938","mappings":{"default":{"default":"flecha semicircular a la derecha en sentido horario"}},"category":"Sm"},{"key":"2939","mappings":{"default":{"default":"flecha semicircular a la izquierda en sentido antihorario"}},"category":"Sm"},{"category":"Sm","key":"293A","mappings":{"default":{"default":"arco superior flecha hacia la izquierda"}}},{"category":"Sm","key":"293B","mappings":{"default":{"default":"arco inferior flecha hacia la izquierda"}}},{"key":"293C","mappings":{"default":{"default":"giro negativo"}},"category":"Sm"},{"key":"293D","mappings":{"default":{"default":"giro positivo"}},"category":"Sm"},{"category":"Sm","key":"293E","mappings":{"default":{"default":"flecha hacia la derecha semicircular inferior derecha"}}},{"category":"Sm","key":"293F","mappings":{"default":{"default":"flecha inferior izquierda semicircular en sentido antihorario"}}},{"category":"Sm","key":"2940","mappings":{"default":{"default":"círculo cerrado en sentido contrario a las agujas del reloj"}}},{"category":"Sm","key":"2941","mappings":{"default":{"default":"círculo cerrado en el sentido de las agujas del reloj"}}},{"category":"Sm","key":"2942","mappings":{"default":{"default":"flecha hacia la derecha sobre la flecha corta hacia la izquierda"}}},{"category":"Sm","key":"2943","mappings":{"default":{"default":"flecha hacia la izquierda sobre la flecha corta hacia la derecha"}}},{"category":"Sm","key":"2944","mappings":{"default":{"default":"flecha corta hacia la derecha arriba flecha hacia la izquierda"}}},{"key":"2945","mappings":{"default":{"default":"flecha con más suscrito"}},"category":"Sm"},{"category":"Sm","key":"2946","mappings":{"default":{"default":"flecha hacia la izquierda con más abajo"}}},{"category":"Sm","key":"2947","mappings":{"default":{"default":"flecha hacia la derecha a través de X"}}},{"key":"2948","mappings":{"default":{"default":"flecha hacia la izquierda a través de círculo"}},"category":"Sm"},{"key":"2949","mappings":{"default":{"default":"dos cabezas de flecha hacia arriba desde círculo"}},"category":"Sm"},{"key":"2970","mappings":{"default":{"default":"round implies"}},"category":"Sm"},{"key":"2971","mappings":{"default":{"default":"flecha con igual"}},"category":"Sm"},{"key":"2972","mappings":{"default":{"default":"flecha con tilde"}},"category":"Sm"},{"key":"2973","mappings":{"default":{"default":"tilde con flecha hacia la izquierda"}},"category":"Sm"},{"key":"2974","mappings":{"default":{"default":"tilde con flecha"}},"category":"Sm"},{"key":"2975","mappings":{"default":{"default":"flecha con casi igual a"}},"category":"Sm"},{"key":"2976","mappings":{"default":{"default":"flecha hacia la izquierda con menor que"}},"category":"Sm"},{"category":"Sm","key":"2977","mappings":{"default":{"default":"flecha hacia la izquierda a través de menos de"}}},{"key":"2978","mappings":{"default":{"default":"flecha con mayor que"}},"category":"Sm"},{"key":"2979","mappings":{"default":{"default":"flecha hacia la izquierda con incluido"}},"category":"Sm"},{"category":"Sm","key":"297A","mappings":{"default":{"default":"flecha hacia la izquierda a través del subconjunto"}}},{"key":"297B","mappings":{"default":{"default":"flecha hacia la izquierda con contiene"}},"category":"Sm"},{"key":"29B3","mappings":{"default":{"default":"conjunto vacío con flecha"}},"category":"Sm"},{"key":"29B4","mappings":{"default":{"default":"conjunto vacío con flecha inversa"}},"category":"Sm"},{"category":"Sm","key":"29BD","mappings":{"default":{"default":"flecha arriba a través del círculo"}}},{"category":"Sm","key":"29EA","mappings":{"default":{"default":"diamante negro con flecha hacia abajo"}}},{"category":"Sm","key":"29EC","mappings":{"default":{"default":"círculo blanco con flecha hacia abajo"}}},{"category":"Sm","key":"29ED","mappings":{"default":{"default":"círculo negro con flecha hacia abajo"}}},{"key":"2A17","mappings":{"default":{"default":"integral con flecha hacia la izquierda con garfio"}},"category":"Sm"},{"category":"So","key":"2B00","mappings":{"default":{"default":"flecha blanca del noreste"}}},{"category":"So","key":"2B01","mappings":{"default":{"default":"flecha blanca del noroeste"}}},{"category":"So","key":"2B02","mappings":{"default":{"default":"flecha blanca del sureste"}}},{"category":"So","key":"2B03","mappings":{"default":{"default":"sudoeste flecha blanca"}}},{"category":"So","key":"2B04","mappings":{"default":{"default":"izquierda derecha flecha blanca"}}},{"category":"So","key":"2B05","mappings":{"default":{"default":"flecha negra hacia la izquierda"}}},{"category":"So","key":"2B06","mappings":{"default":{"default":"flecha negra hacia arriba"}}},{"category":"So","key":"2B07","mappings":{"default":{"default":"flecha negra hacia abajo"}}},{"category":"So","key":"2B08","mappings":{"default":{"default":"flecha negra del noreste"}}},{"category":"So","key":"2B09","mappings":{"default":{"default":"flecha negra del noroeste"}}},{"category":"So","key":"2B0A","mappings":{"default":{"default":"flecha negra sur este"}}},{"category":"So","key":"2B0B","mappings":{"default":{"default":"sudoeste flecha negra"}}},{"category":"So","key":"2B0C","mappings":{"default":{"default":"izquierda derecha flecha negra"}}},{"category":"So","key":"2B0D","mappings":{"default":{"default":"arriba abajo flecha negra"}}},{"category":"So","key":"2B0E","mappings":{"default":{"default":"flecha hacia la derecha con la punta hacia abajo"}}},{"category":"So","key":"2B0F","mappings":{"default":{"default":"flecha hacia la derecha con la punta hacia arriba"}}},{"category":"So","key":"2B10","mappings":{"default":{"default":"flecha hacia la izquierda con la punta hacia abajo"}}},{"category":"So","key":"2B11","mappings":{"default":{"default":"flecha hacia la izquierda con la punta hacia arriba"}}},{"category":"Sm","key":"2B30","mappings":{"default":{"default":"flecha izquierda con círculo pequeño"}}},{"category":"Sm","key":"2B31","mappings":{"default":{"default":"tres flechas a la izquierda"}}},{"category":"Sm","key":"2B32","mappings":{"default":{"default":"flecha izquierda con un círculo más"}}},{"category":"Sm","key":"2B33","mappings":{"default":{"default":"flecha de flecha larga hacia la izquierda"}}},{"category":"Sm","key":"2B34","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con trazo vertical"}}},{"category":"Sm","key":"2B35","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con doble movimiento vertical"}}},{"category":"Sm","key":"2B36","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda de la barra"}}},{"category":"Sm","key":"2B37","mappings":{"default":{"default":"flecha triple de dos cabezas hacia la izquierda"}}},{"category":"Sm","key":"2B38","mappings":{"default":{"default":"flecha hacia la izquierda con tallo punteado"}}},{"category":"Sm","key":"2B39","mappings":{"default":{"default":"flecha hacia la izquierda con cola con trazo vertical"}}},{"category":"Sm","key":"2B3A","mappings":{"default":{"default":"flecha hacia la izquierda con cola con doble trazo vertical"}}},{"category":"Sm","key":"2B3B","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con cola"}}},{"category":"Sm","key":"2B3C","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con cola con trazo vertical"}}},{"category":"Sm","key":"2B3D","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con cola con doble movimiento vertical"}}},{"category":"Sm","key":"2B3E","mappings":{"default":{"default":"flecha hacia la izquierda a través de X"}}},{"category":"Sm","key":"2B3F","mappings":{"default":{"default":"ola flecha apuntando directamente a la izquierda"}}},{"category":"Sm","key":"2B40","mappings":{"default":{"default":"signo de igual flecha arriba a la izquierda"}}},{"category":"Sm","key":"2B41","mappings":{"default":{"default":"operador de tilde inverso sobre la flecha hacia la izquierda"}}},{"category":"Sm","key":"2B42","mappings":{"default":{"default":"flecha hacia la izquierda sobre el reverso casi igual a"}}},{"category":"Sm","key":"2B43","mappings":{"default":{"default":"flecha hacia la derecha a través de mayor-que"}}},{"category":"Sm","key":"2B44","mappings":{"default":{"default":"flecha hacia la derecha a través de Superset"}}},{"category":"So","key":"2B45","mappings":{"default":{"default":"flecha cuádruple hacia la izquierda"}}},{"category":"So","key":"2B46","mappings":{"default":{"default":"flecha cuádruple hacia la derecha"}}},{"category":"Sm","key":"2B47","mappings":{"default":{"default":"operador de tilde inverso sobre la flecha hacia la derecha"}}},{"category":"Sm","key":"2B48","mappings":{"default":{"default":"flecha hacia la derecha sobre el reverso casi igual a"}}},{"category":"Sm","key":"2B49","mappings":{"default":{"default":"operador de tilde sobre la flecha hacia la izquierda"}}},{"category":"Sm","key":"2B4A","mappings":{"default":{"default":"flecha hacia la izquierda por encima de casi igual a"}}},{"category":"Sm","key":"2B4B","mappings":{"default":{"default":"flecha hacia la izquierda sobre el operador de tilde inverso"}}},{"category":"Sm","key":"2B4C","mappings":{"default":{"default":"flecha hacia la derecha sobre el operador de tilde inverso"}}},{"category":"Sm","key":"FFE9","mappings":{"default":{"default":"flecha hacia la izquierda de medio ancho"}}},{"category":"Sm","key":"FFEA","mappings":{"default":{"default":"flecha ascendente de medio ancho"}}},{"category":"Sm","key":"FFEB","mappings":{"default":{"default":"flecha de medio ancho hacia la derecha"}}},{"category":"Sm","key":"FFEC","mappings":{"default":{"default":"flecha hacia abajo de medio ancho"}}}]
 ,
-"es/latin-mathfonts-bold-script.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula A"}},"key":"1D4D0"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula B"}},"key":"1D4D1"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula C"}},"key":"1D4D2"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula D"}},"key":"1D4D3"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula E"}},"key":"1D4D4"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula F"}},"key":"1D4D5"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula G"}},"key":"1D4D6"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula H"}},"key":"1D4D7"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula I"}},"key":"1D4D8"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula J"}},"key":"1D4D9"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula K"}},"key":"1D4DA"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula L"}},"key":"1D4DB"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula M"}},"key":"1D4DC"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula N"}},"key":"1D4DD"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula O"}},"key":"1D4DE"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula P"}},"key":"1D4DF"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula Q"}},"key":"1D4E0"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula R"}},"key":"1D4E1"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula S"}},"key":"1D4E2"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula T"}},"key":"1D4E3"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula U"}},"key":"1D4E4"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula V"}},"key":"1D4E5"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula W"}},"key":"1D4E6"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula X"}},"key":"1D4E7"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula Y"}},"key":"1D4E8"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula Z"}},"key":"1D4E9"},{"category":"Ll","mappings":{"default":{"default":"negrita script a"}},"key":"1D4EA"},{"category":"Ll","mappings":{"default":{"default":"negrita script b"}},"key":"1D4EB"},{"category":"Ll","mappings":{"default":{"default":"negrita script c"}},"key":"1D4EC"},{"category":"Ll","mappings":{"default":{"default":"negrita script d"}},"key":"1D4ED"},{"category":"Ll","mappings":{"default":{"default":"negrita script e"}},"key":"1D4EE"},{"category":"Ll","mappings":{"default":{"default":"negrita script f"}},"key":"1D4EF"},{"category":"Ll","mappings":{"default":{"default":"negrita script g"}},"key":"1D4F0"},{"category":"Ll","mappings":{"default":{"default":"negrita script h"}},"key":"1D4F1"},{"category":"Ll","mappings":{"default":{"default":"negrita script i"}},"key":"1D4F2"},{"category":"Ll","mappings":{"default":{"default":"negrita script j"}},"key":"1D4F3"},{"category":"Ll","mappings":{"default":{"default":"negrita script k"}},"key":"1D4F4"},{"category":"Ll","mappings":{"default":{"default":"negrita script l"}},"key":"1D4F5"},{"category":"Ll","mappings":{"default":{"default":"negrita script m"}},"key":"1D4F6"},{"category":"Ll","mappings":{"default":{"default":"negrita script n"}},"key":"1D4F7"},{"category":"Ll","mappings":{"default":{"default":"negrita script o"}},"key":"1D4F8"},{"category":"Ll","mappings":{"default":{"default":"negrita script p"}},"key":"1D4F9"},{"category":"Ll","mappings":{"default":{"default":"negrita script q"}},"key":"1D4FA"},{"category":"Ll","mappings":{"default":{"default":"negrita script r"}},"key":"1D4FB"},{"category":"Ll","mappings":{"default":{"default":"negrita script s"}},"key":"1D4FC"},{"category":"Ll","mappings":{"default":{"default":"negrita script t"}},"key":"1D4FD"},{"category":"Ll","mappings":{"default":{"default":"negrita script u"}},"key":"1D4FE"},{"category":"Ll","mappings":{"default":{"default":"negrita script v"}},"key":"1D4FF"},{"category":"Ll","mappings":{"default":{"default":"negrita script w"}},"key":"1D500"},{"category":"Ll","mappings":{"default":{"default":"negrita script x"}},"key":"1D501"},{"category":"Ll","mappings":{"default":{"default":"negrita script y"}},"key":"1D502"},{"category":"Ll","mappings":{"default":{"default":"negrita script z"}},"key":"1D503"}]
+"es/symbols/math_characters.js": 
+[{"locale":"es"},{"key":"2113","mappings":{"default":{"default":"script l"}},"category":"Ll"},{"key":"2118","mappings":{"default":{"default":"p de weierstrass"}},"category":"Sm"},{"category":"Ll","key":"213C","mappings":{"default":{"default":"negrita de pizarra pi"}}},{"category":"Ll","key":"213D","mappings":{"default":{"default":"negrita de pizarra gamma"}}},{"category":"Lu","key":"213E","mappings":{"default":{"default":"negrita de pizarra mayúscula Gamma"}}},{"category":"Lu","key":"213F","mappings":{"default":{"default":"negrita de pizarra mayúscula Pi"}}},{"category":"Sm","key":"2140","mappings":{"default":{"default":"negrita de pizarra suma de n-ary"}}},{"key":"2145","mappings":{"default":{"default":"mayúscula D"}},"category":"Lu"},{"key":"2146","mappings":{"default":{"default":"d"}},"category":"Ll"},{"key":"2147","mappings":{"default":{"default":"e"}},"category":"Ll"},{"key":"2148","mappings":{"default":{"default":"i"}},"category":"Ll"},{"category":"Ll","key":"2149","mappings":{"default":{"default":"negrita de pizarra cursiva j"}}},{"category":"Ll","mappings":{"default":{"default":"cursiva sin punto i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"cursiva sin punto j"}},"key":"1D6A5"}]
 ,
-"es/latin-mathfonts-bold.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula A"}},"key":"1D400"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula B"}},"key":"1D401"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula C"}},"key":"1D402"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula D"}},"key":"1D403"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula E"}},"key":"1D404"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula F"}},"key":"1D405"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula G"}},"key":"1D406"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula H"}},"key":"1D407"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula I"}},"key":"1D408"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula J"}},"key":"1D409"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula K"}},"key":"1D40A"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula L"}},"key":"1D40B"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula M"}},"key":"1D40C"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula N"}},"key":"1D40D"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula O"}},"key":"1D40E"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula P"}},"key":"1D40F"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Q"}},"key":"1D410"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula R"}},"key":"1D411"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula S"}},"key":"1D412"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula T"}},"key":"1D413"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula U"}},"key":"1D414"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula V"}},"key":"1D415"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula W"}},"key":"1D416"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula X"}},"key":"1D417"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Y"}},"key":"1D418"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Z"}},"key":"1D419"},{"category":"Ll","mappings":{"default":{"default":"negrita a"}},"key":"1D41A"},{"category":"Ll","mappings":{"default":{"default":"negrita b"}},"key":"1D41B"},{"category":"Ll","mappings":{"default":{"default":"negrita c"}},"key":"1D41C"},{"category":"Ll","mappings":{"default":{"default":"negrita d"}},"key":"1D41D"},{"category":"Ll","mappings":{"default":{"default":"negrita e"}},"key":"1D41E"},{"category":"Ll","mappings":{"default":{"default":"negrita f"}},"key":"1D41F"},{"category":"Ll","mappings":{"default":{"default":"negrita g"}},"key":"1D420"},{"category":"Ll","mappings":{"default":{"default":"negrita h"}},"key":"1D421"},{"category":"Ll","mappings":{"default":{"default":"negrita i"}},"key":"1D422"},{"category":"Ll","mappings":{"default":{"default":"negrita j"}},"key":"1D423"},{"category":"Ll","mappings":{"default":{"default":"negrita k"}},"key":"1D424"},{"category":"Ll","mappings":{"default":{"default":"negrita l"}},"key":"1D425"},{"category":"Ll","mappings":{"default":{"default":"negrita m"}},"key":"1D426"},{"category":"Ll","mappings":{"default":{"default":"negrita n"}},"key":"1D427"},{"category":"Ll","mappings":{"default":{"default":"negrita o"}},"key":"1D428"},{"category":"Ll","mappings":{"default":{"default":"negrita p"}},"key":"1D429"},{"category":"Ll","mappings":{"default":{"default":"negrita q"}},"key":"1D42A"},{"category":"Ll","mappings":{"default":{"default":"negrita r"}},"key":"1D42B"},{"category":"Ll","mappings":{"default":{"default":"negrita s"}},"key":"1D42C"},{"category":"Ll","mappings":{"default":{"default":"negrita t"}},"key":"1D42D"},{"category":"Ll","mappings":{"default":{"default":"negrita u"}},"key":"1D42E"},{"category":"Ll","mappings":{"default":{"default":"negrita v"}},"key":"1D42F"},{"category":"Ll","mappings":{"default":{"default":"negrita w"}},"key":"1D430"},{"category":"Ll","mappings":{"default":{"default":"negrita x"}},"key":"1D431"},{"category":"Ll","mappings":{"default":{"default":"negrita y"}},"key":"1D432"},{"category":"Ll","mappings":{"default":{"default":"negrita z"}},"key":"1D433"}]
+"es/symbols/math_delimiters.js": 
+[{"locale":"es"},{"key":"0028","mappings":{"default":{"default":"paréntesis izquierdo","defaultMP":"paréntesis"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"paréntesis derecho","defaultMP":"cierra paréntesis"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"corchete izquierdo","defaultMP":"abre corchetes"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"corchete derecho","defaultMP":"cierra corchetes"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"llave izquierda","defaultMP":"abre llaves"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"llaves derecha","defaultMP":"cierra llaves"}},"category":"Pe"},{"category":"Ps","key":"2045","mappings":{"default":{"default":"soporte cuadrado izquierdo con pluma"}}},{"category":"Pe","key":"2046","mappings":{"default":{"default":"soporte cuadrado derecho con pluma"}}},{"key":"2308","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"Sm"},{"key":"2309","mappings":{"default":{"default":"esquina superior derecha"}},"category":"Sm"},{"key":"230A","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"Sm"},{"key":"230B","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"Sm"},{"key":"230C","mappings":{"default":{"default":"corte inferior derecho"}},"category":"So"},{"key":"230D","mappings":{"default":{"default":"corte inferior izquierdo"}},"category":"So"},{"key":"230E","mappings":{"default":{"default":"corte superior derecho "}},"category":"So"},{"key":"230F","mappings":{"default":{"default":"corte superior izquierdo"}},"category":"So"},{"key":"231C","mappings":{"default":{"default":"ángulo superior izquierdo"}},"category":"So"},{"key":"231D","mappings":{"default":{"default":"ángulo superior derecho"}},"category":"So"},{"key":"231E","mappings":{"default":{"default":"ángulo inferior izquierdo"}},"category":"So"},{"key":"231F","mappings":{"default":{"default":"ángulo inferior derecho"}},"category":"So"},{"key":"2320","mappings":{"default":{"default":"mitad superior de integral"}},"category":"Sm"},{"key":"2321","mappings":{"default":{"default":"mitad inferior de integral"}},"category":"Sm"},{"key":"2329","mappings":{"default":{"default":"paréntesis angular izquierdo"}},"category":"Ps"},{"key":"232A","mappings":{"default":{"default":"paréntesis angular derecho"}},"category":"Pe"},{"category":"Sm","key":"239B","mappings":{"default":{"default":"paréntesis izquierdo gancho superior"}}},{"category":"Sm","key":"239C","mappings":{"default":{"default":"extensión del paréntesis izquierdo"}}},{"category":"Sm","key":"239D","mappings":{"default":{"default":"paréntesis inferior gancho inferior"}}},{"category":"Sm","key":"239E","mappings":{"default":{"default":"paréntesis derecho gancho superior"}}},{"category":"Sm","key":"239F","mappings":{"default":{"default":"extensión del paréntesis derecho"}}},{"category":"Sm","key":"23A0","mappings":{"default":{"default":"paréntesis inferior gancho inferior"}}},{"category":"Sm","key":"23A1","mappings":{"default":{"default":"esquina cuadrada izquierda esquina superior"}}},{"category":"Sm","key":"23A2","mappings":{"default":{"default":"extensión del soporte cuadrado izquierdo"}}},{"category":"Sm","key":"23A3","mappings":{"default":{"default":"esquina cuadrada izquierda esquina inferior"}}},{"category":"Sm","key":"23A4","mappings":{"default":{"default":"esquina cuadrada derecha esquina superior"}}},{"category":"Sm","key":"23A5","mappings":{"default":{"default":"extensión de soporte cuadrado derecho"}}},{"category":"Sm","key":"23A6","mappings":{"default":{"default":"esquina cuadrada derecha esquina inferior"}}},{"category":"Sm","key":"23A7","mappings":{"default":{"default":"gancho superior rizado izquierdo"}}},{"category":"Sm","key":"23A8","mappings":{"default":{"default":"pedazo medio rizado izquierdo"}}},{"category":"Sm","key":"23A9","mappings":{"default":{"default":"soporte izquierdo rizado gancho inferior"}}},{"category":"Sm","key":"23AA","mappings":{"default":{"default":"extensión de soporte rizado"}}},{"category":"Sm","key":"23AB","mappings":{"default":{"default":"gancho superior rizado derecho"}}},{"category":"Sm","key":"23AC","mappings":{"default":{"default":"pedazo medio de soporte rizado derecho"}}},{"category":"Sm","key":"23AD","mappings":{"default":{"default":"abrazadera inferior derecha rizado"}}},{"category":"Sm","key":"23AE","mappings":{"default":{"default":"extensión integral"}}},{"category":"Sm","key":"23AF","mappings":{"default":{"default":"extensión de línea horizontal"}}},{"key":"23B0","mappings":{"default":{"default":"izquierda arriba o derecho debajo sección llave"}},"category":"Sm"},{"key":"23B1","mappings":{"default":{"default":"derecha arriba o izquierdo debajo sección llave"}},"category":"Sm"},{"category":"Sm","key":"23B2","mappings":{"default":{"default":"suma superior"}}},{"category":"Sm","key":"23B3","mappings":{"default":{"default":"parte inferior de la suma"}}},{"key":"23B4","mappings":{"default":{"default":"corchete superior"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"corchete inferior"}},"category":"So"},{"category":"So","key":"23B6","mappings":{"default":{"default":"soporte cuadrado inferior sobre soporte cuadrado superior"}}},{"category":"So","key":"23B7","mappings":{"default":{"default":"parte inferior del símbolo radical"}}},{"category":"So","key":"23B8","mappings":{"default":{"default":"línea de caja vertical izquierda"}}},{"category":"So","key":"23B9","mappings":{"default":{"default":"línea de caja vertical derecha"}}},{"key":"23DC","mappings":{"default":{"default":"paréntesis superior"}},"category":"Sm"},{"key":"23DD","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Sm"},{"key":"23DE","mappings":{"default":{"default":"corchete rizado superior"}},"category":"Sm"},{"key":"23DF","mappings":{"default":{"default":"corchete rizado inferior"}},"category":"Sm"},{"key":"23E0","mappings":{"default":{"default":"corchete superior en tortuga"}},"category":"Sm"},{"key":"23E1","mappings":{"default":{"default":"corchete inferior en tortuga"}},"category":"Sm"},{"category":"Ps","key":"2768","mappings":{"default":{"default":"ornamento de paréntesis izquierdo medio"}}},{"category":"Pe","key":"2769","mappings":{"default":{"default":"adorno de paréntesis medio derecho"}}},{"category":"Ps","key":"276A","mappings":{"default":{"default":"adorno paréntesis izquierdo aplanado medio"}}},{"category":"Pe","key":"276B","mappings":{"default":{"default":"adorno paréntesis derecho medio aplanado"}}},{"category":"Ps","key":"276C","mappings":{"default":{"default":"adorno de soporte de ángulo medio apuntando hacia la izquierda"}}},{"category":"Pe","key":"276D","mappings":{"default":{"default":"adorno de soporte de ángulo medio apuntando hacia la derecha"}}},{"category":"Ps","key":"276E","mappings":{"default":{"default":"ornamento de comillas en el ángulo que apunta hacia la izquierda"}}},{"category":"Pe","key":"276F","mappings":{"default":{"default":"ornamento de comillas en ángulo recto que apunta hacia la derecha"}}},{"category":"Ps","key":"2770","mappings":{"default":{"default":"ornamento pesado del soporte del ángulo que señala a la izquierda"}}},{"category":"Pe","key":"2771","mappings":{"default":{"default":"ornamento pesado del soporte del ángulo que señala hacia la derecha"}}},{"category":"Ps","key":"2772","mappings":{"default":{"default":"ornamento de soporte de concha de tortuga izquierda ligera"}}},{"category":"Pe","key":"2773","mappings":{"default":{"default":"ornamento de corchete derecho tortuga derecha"}}},{"category":"Ps","key":"2774","mappings":{"default":{"default":"ornamento de soporte rizado izquierdo medio"}}},{"category":"Pe","key":"2775","mappings":{"default":{"default":"ornamento de soporte rizado derecho medio"}}},{"key":"27C5","mappings":{"default":{"default":"símbolo delimitador izquierdo de bolsa de s-formó"}},"category":"Ps"},{"key":"27C6","mappings":{"default":{"default":"símbolo delimitador derecho de bolsa de s-formó"}},"category":"Pe"},{"key":"27E6","mappings":{"default":{"default":"corchete vacío izquierdo"}},"category":"Ps"},{"key":"27E7","mappings":{"default":{"default":"corchete vacío derecho"}},"category":"Pe"},{"key":"27E8","mappings":{"default":{"default":"corchete agudo izquierdo"}},"category":"Ps"},{"key":"27E9","mappings":{"default":{"default":"corchete agudo derecho"}},"category":"Pe"},{"key":"27EA","mappings":{"default":{"default":"doble corchete agudo izquierdo"}},"category":"Ps"},{"key":"27EB","mappings":{"default":{"default":"doble corchete agudo derecho"}},"category":"Pe"},{"key":"27EC","mappings":{"default":{"default":"corchete de tortuga vacío izquierdo"}},"category":"Ps"},{"key":"27ED","mappings":{"default":{"default":"corchete de tortuga vacío derecho "}},"category":"Pe"},{"key":"27EE","mappings":{"default":{"default":"paréntesis plano izquierdo"}},"category":"Ps"},{"key":"27EF","mappings":{"default":{"default":"paréntesis plano derecho"}},"category":"Pe"},{"category":"Ps","key":"2983","mappings":{"default":{"default":"soporte rizado blanco izquierdo"}}},{"category":"Pe","key":"2984","mappings":{"default":{"default":"derecha rizado blanco soporte"}}},{"key":"2985","mappings":{"default":{"default":"left white paren"}},"category":"Ps"},{"key":"2986","mappings":{"default":{"default":"right white paren"}},"category":"Pe"},{"category":"Ps","key":"2987","mappings":{"default":{"default":"notación Z izquierda soporte de imagen"}}},{"category":"Pe","key":"2988","mappings":{"default":{"default":"corchete de imagen derecha de notación Z"}}},{"key":"2989","mappings":{"default":{"default":"z notation left binding bracket"}},"category":"Ps"},{"key":"298A","mappings":{"default":{"default":"z notation right binding bracket"}},"category":"Pe"},{"key":"298B","mappings":{"default":{"default":"left bracket with underbar"}},"category":"Ps"},{"key":"298C","mappings":{"default":{"default":"right bracket with underbar"}},"category":"Pe"},{"key":"298D","mappings":{"default":{"default":"left bracket with tick in top corner"}},"category":"Ps"},{"key":"298E","mappings":{"default":{"default":"right bracket with tick in bottom corner"}},"category":"Pe"},{"key":"298F","mappings":{"default":{"default":"left bracket with tick in bottom corner"}},"category":"Ps"},{"key":"2990","mappings":{"default":{"default":"right bracket with tick in top corner"}},"category":"Pe"},{"key":"2991","mappings":{"default":{"default":"left angle bracket with dot"}},"category":"Ps"},{"key":"2992","mappings":{"default":{"default":"right angle bracket with dot"}},"category":"Pe"},{"key":"2993","mappings":{"default":{"default":"left arc less than bracket"}},"category":"Ps"},{"key":"2994","mappings":{"default":{"default":"right arc greater than bracket"}},"category":"Pe"},{"key":"2995","mappings":{"default":{"default":"double left arc greater than bracket"}},"category":"Ps"},{"key":"2996","mappings":{"default":{"default":"double right arc less than bracket"}},"category":"Pe"},{"category":"Ps","key":"2997","mappings":{"default":{"default":"soporte de concha de tortuga negra izquierda"}}},{"category":"Pe","key":"2998","mappings":{"default":{"default":"abrazadera de concha de tortuga negra derecha"}}},{"category":"Ps","key":"29D8","mappings":{"default":{"default":"valla izquierda ondulada"}}},{"category":"Pe","key":"29D9","mappings":{"default":{"default":"valla derecha ondulada"}}},{"key":"29DA","mappings":{"default":{"default":"left double wiggly fence"}},"category":"Ps"},{"key":"29DB","mappings":{"default":{"default":"right double wiggly fence"}},"category":"Pe"},{"category":"Ps","key":"29FC","mappings":{"default":{"default":"abrazadera de ángulo curvo a la izquierda"}}},{"category":"Pe","key":"29FD","mappings":{"default":{"default":"abrazadera de ángulo curvo orientada hacia la derecha"}}},{"category":"Ps","key":"2E22","mappings":{"default":{"default":"soporte superior izquierdo superior"}}},{"category":"Pe","key":"2E23","mappings":{"default":{"default":"medio soporte superior derecho"}}},{"category":"Ps","key":"2E24","mappings":{"default":{"default":"abrazadera inferior izquierda"}}},{"category":"Pe","key":"2E25","mappings":{"default":{"default":"medio soporte inferior derecho"}}},{"category":"Ps","key":"2E26","mappings":{"default":{"default":"soporte U lateral izquierdo"}}},{"category":"Pe","key":"2E27","mappings":{"default":{"default":"lado derecho U soporte"}}},{"category":"Ps","key":"2E28","mappings":{"default":{"default":"doble paréntesis izquierdo"}}},{"category":"Pe","key":"2E29","mappings":{"default":{"default":"paréntesis doble derecho"}}},{"category":"Ps","key":"3008","mappings":{"default":{"default":"soporte de ángulo izquierdo"}}},{"category":"Pe","key":"3009","mappings":{"default":{"default":"soporte de ángulo recto"}}},{"key":"300A","mappings":{"default":{"default":"paréntesis angular doble"}},"category":"Ps"},{"key":"300B","mappings":{"default":{"default":"paréntesis angular doble derecho","defaultMP":"cierra paréntesis angular doble"}},"category":"Pe"},{"category":"Ps","key":"300C","mappings":{"default":{"default":"soporte de la esquina izquierda"}}},{"category":"Pe","key":"300D","mappings":{"default":{"default":"soporte de esquina derecha"}}},{"category":"Ps","key":"300E","mappings":{"default":{"default":"soporte de esquina blanco izquierdo"}}},{"category":"Pe","key":"300F","mappings":{"default":{"default":"soporte de esquina blanco derecho"}}},{"category":"Ps","key":"3010","mappings":{"default":{"default":"soporte Lenticular Izquierdo Negro"}}},{"category":"Pe","key":"3011","mappings":{"default":{"default":"soporte Lenticular Negro Derecho"}}},{"key":"3014","mappings":{"default":{"default":"left tortoise shell bracket"}},"category":"Ps"},{"key":"3015","mappings":{"default":{"default":"right tortoise shell bracket"}},"category":"Pe"},{"category":"Ps","key":"3016","mappings":{"default":{"default":"soporte lenticular blanco izquierdo"}}},{"category":"Pe","key":"3017","mappings":{"default":{"default":"soporte lenticular blanco derecho"}}},{"category":"Ps","key":"3018","mappings":{"default":{"default":"soporte de caparazón de tortuga blanca izquierda"}}},{"category":"Pe","key":"3019","mappings":{"default":{"default":"soporte de concha de tortuga blanca derecha"}}},{"key":"301A","mappings":{"default":{"default":"corchete vacío"}},"category":"Ps"},{"key":"301B","mappings":{"default":{"default":"corchete vacío derecho","defaultMP":"cierra corchete vacío"}},"category":"Pe"},{"category":"Ps","key":"301D","mappings":{"default":{"default":"comilla doble invertida"}}},{"key":"301E","mappings":{"default":{"default":"segunda"}},"category":"Pe"},{"category":"Pe","key":"301F","mappings":{"default":{"default":"comillas bajas dobles"}}},{"category":"Ps","key":"FD3E","mappings":{"default":{"default":"paréntesis izquierdo adornado"}}},{"category":"Pe","key":"FD3F","mappings":{"default":{"default":"paréntesis derecho adornado"}}},{"category":"Ps","key":"FE17","mappings":{"default":{"default":"formulario de presentación para soporte lenticular blanco izquierdo vertical"}}},{"category":"Pe","key":"FE18","mappings":{"default":{"default":"formulario de presentación para soporte lenticular blanco vertical derecho"}}},{"key":"FE35","mappings":{"default":{"default":"paréntesis superior"}},"category":"Ps"},{"key":"FE36","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Pe"},{"key":"FE37","mappings":{"default":{"default":"llave superior"}},"category":"Ps"},{"key":"FE38","mappings":{"default":{"default":"llave inferior"}},"category":"Pe"},{"category":"Ps","key":"FE39","mappings":{"default":{"default":"formulario de presentación para el soporte vertical de concha de tortuga izquierda"}}},{"category":"Pe","key":"FE3A","mappings":{"default":{"default":"formulario de presentación para el soporte vertical de concha de tortuga derecha"}}},{"category":"Ps","key":"FE3B","mappings":{"default":{"default":"formulario de presentación para el soporte lenticular negro izquierdo vertical"}}},{"category":"Pe","key":"FE3C","mappings":{"default":{"default":"formulario de presentación para el soporte lenticular negro derecho vertical"}}},{"category":"Ps","key":"FE3D","mappings":{"default":{"default":"formulario de presentación para soporte vertical doble ángulo izquierdo"}}},{"category":"Pe","key":"FE3E","mappings":{"default":{"default":"formulario de presentación para el soporte de ángulo recto doble vertical"}}},{"key":"FE3F","mappings":{"default":{"default":"paréntesis angular superior"}},"category":"Ps"},{"key":"FE40","mappings":{"default":{"default":"paréntesis angular inferior"}},"category":"Pe"},{"category":"Ps","key":"FE41","mappings":{"default":{"default":"formulario de presentación para soporte de esquina vertical izquierda"}}},{"category":"Pe","key":"FE42","mappings":{"default":{"default":"formulario de presentación para soporte de esquina vertical derecha"}}},{"category":"Ps","key":"FE43","mappings":{"default":{"default":"formulario de presentación para soporte de esquina blanco vertical izquierdo"}}},{"category":"Pe","key":"FE44","mappings":{"default":{"default":"formulario de presentación para soporte de esquina vertical derecha blanca"}}},{"category":"Ps","key":"FE47","mappings":{"default":{"default":"formulario de presentación para soporte cuadrado vertical izquierdo"}}},{"category":"Pe","key":"FE48","mappings":{"default":{"default":"formulario de presentación para soporte cuadrado vertical derecho"}}},{"category":"Ps","key":"FE59","mappings":{"default":{"default":"pequeño paréntesis izquierdo"}}},{"category":"Pe","key":"FE5A","mappings":{"default":{"default":"paréntesis derecho pequeño"}}},{"category":"Ps","key":"FE5B","mappings":{"default":{"default":"corchete Rizado Izquierdo Pequeño"}}},{"category":"Pe","key":"FE5C","mappings":{"default":{"default":"corchete derecho rizado pequeño"}}},{"category":"Ps","key":"FE5D","mappings":{"default":{"default":"soporte de concha pequeña tortuga izquierda"}}},{"category":"Pe","key":"FE5E","mappings":{"default":{"default":"pequeño corchete derecho de concha de tortuga"}}},{"category":"Ps","key":"FF08","mappings":{"default":{"default":"paréntesis izquierdo de ancho completo"}}},{"category":"Pe","key":"FF09","mappings":{"default":{"default":"paréntesis derecho de ancho completo"}}},{"category":"Ps","key":"FF3B","mappings":{"default":{"default":"soporte cuadrado izquierdo de ancho completo"}}},{"category":"Pe","key":"FF3D","mappings":{"default":{"default":"soporte cuadrado derecho de ancho completo"}}},{"category":"Ps","key":"FF5B","mappings":{"default":{"default":"corchete rizado izquierdo de ancho completo"}}},{"category":"Pe","key":"FF5D","mappings":{"default":{"default":"corchete derecho de ancho completo"}}},{"category":"Ps","key":"FF5F","mappings":{"default":{"default":"paréntesis blanco izquierdo de ancho completo"}}},{"category":"Pe","key":"FF60","mappings":{"default":{"default":"paréntesis blanco derecho de ancho completo"}}},{"category":"Ps","key":"FF62","mappings":{"default":{"default":"corchete de esquina izquierda de medio ancho"}}},{"category":"Pe","key":"FF63","mappings":{"default":{"default":"soporte de esquina derecha de medio ancho"}}}]
 ,
-"es/latin-mathfonts-double-struck.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula A"}},"key":"1D538"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula B"}},"key":"1D539"},{"key":"2102","mappings":{"default":{"default":"negrita de pizarra mayúscula C"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula D"}},"key":"1D53B"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula E"}},"key":"1D53C"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula F"}},"key":"1D53D"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula G"}},"key":"1D53E"},{"key":"210D","mappings":{"default":{"default":"negrita de pizarra mayúscula H"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula I"}},"key":"1D540"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula J"}},"key":"1D541"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula K"}},"key":"1D542"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula L"}},"key":"1D543"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula M"}},"key":"1D544"},{"key":"2115","mappings":{"default":{"default":"negrita de pizarra mayúscula N"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula O"}},"key":"1D546"},{"key":"2119","mappings":{"default":{"default":"negrita de pizarra mayúscula P"}},"category":"Lu"},{"key":"211A","mappings":{"default":{"default":"negrita de pizarra mayúscula Q"}},"category":"Lu"},{"key":"211D","mappings":{"default":{"default":"negrita de pizarra mayúscula R","defaultMP":"R mayúscula negrita"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula S"}},"key":"1D54A"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula T"}},"key":"1D54B"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula U"}},"key":"1D54C"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula V"}},"key":"1D54D"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula W"}},"key":"1D54E"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula X"}},"key":"1D54F"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula Y"}},"key":"1D550"},{"key":"2124","mappings":{"default":{"default":"negrita de pizarra mayúscula Z"}},"category":"Lu"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra a"}},"key":"1D552"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra b"}},"key":"1D553"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra c"}},"key":"1D554"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra d"}},"key":"1D555"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra e"}},"key":"1D556"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra f"}},"key":"1D557"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra g"}},"key":"1D558"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra h"}},"key":"1D559"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra i"}},"key":"1D55A"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra j"}},"key":"1D55B"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra k"}},"key":"1D55C"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra l"}},"key":"1D55D"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra m"}},"key":"1D55E"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra n"}},"key":"1D55F"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra o"}},"key":"1D560"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra p"}},"key":"1D561"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra q"}},"key":"1D562"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra r"}},"key":"1D563"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra s"}},"key":"1D564"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra t"}},"key":"1D565"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra u"}},"key":"1D566"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra v"}},"key":"1D567"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra w"}},"key":"1D568"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra x"}},"key":"1D569"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra y"}},"key":"1D56A"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra z"}},"key":"1D56B"}]
+"es/symbols/math_geometry.js": 
+[{"locale":"es"},{"key":"2500","mappings":{"default":{"default":"delimitador horizontal"}},"category":"So"},{"category":"So","key":"2501","mappings":{"default":{"default":"dibujos de cajas pesadas horizontales"}}},{"key":"2502","mappings":{"default":{"default":"delimitador vertical"}},"category":"So"},{"category":"So","key":"2503","mappings":{"default":{"default":"dibujos de cajas Pesado Vertical"}}},{"category":"So","key":"2504","mappings":{"default":{"default":"dibujos de cajas Light Triple Dash Horizontal"}}},{"category":"So","key":"2505","mappings":{"default":{"default":"dibujos de cajas Heavy Triple Dash Horizontal"}}},{"category":"So","key":"2506","mappings":{"default":{"default":"dibujos de cajas Light Triple Dash Vertical"}}},{"category":"So","key":"2507","mappings":{"default":{"default":"dibujos de cajas Heavy Triple Dash Vertical"}}},{"category":"So","key":"2508","mappings":{"default":{"default":"caja Dibujos Ligero Cuadruple Dash Horizontal"}}},{"category":"So","key":"2509","mappings":{"default":{"default":"dibujos de cajas Heavy Quadruple Dash Horizontal"}}},{"category":"So","key":"250A","mappings":{"default":{"default":"caja Dibujos Luz Cuadruple Tablero Vertical"}}},{"category":"So","key":"250B","mappings":{"default":{"default":"dibujos de cajas Heavy Quadruple Dash Vertical"}}},{"key":"250C","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"So"},{"category":"So","key":"250D","mappings":{"default":{"default":"dibujos de cajas Abajo Ligero y Derecho Pesado"}}},{"category":"So","key":"250E","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y rectos ligeros"}}},{"category":"So","key":"250F","mappings":{"default":{"default":"dibujos de cajas pesados ​​abajo y derecha"}}},{"key":"2510","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"So"},{"category":"So","key":"2511","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y pesados ​​a la izquierda"}}},{"category":"So","key":"2512","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y luz izquierda"}}},{"category":"So","key":"2513","mappings":{"default":{"default":"dibujos de cajas pesados ​​hacia abajo y hacia la izquierda"}}},{"key":"2514","mappings":{"default":{"default":"esquina superior derecha"}},"category":"So"},{"category":"So","key":"2515","mappings":{"default":{"default":"dibujos de cajas hasta ligero y derecho pesado"}}},{"category":"So","key":"2516","mappings":{"default":{"default":"dibujos de cajas hasta Pesadas y Ligeras"}}},{"category":"So","key":"2517","mappings":{"default":{"default":"dibujos de cajas pesados ​​y derechos"}}},{"key":"2518","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"So"},{"category":"So","key":"2519","mappings":{"default":{"default":"dibujos de cajas hasta livianos y pesados ​​a la izquierda"}}},{"category":"So","key":"251A","mappings":{"default":{"default":"dibujos de cajas hasta pesado y luz izquierda"}}},{"category":"So","key":"251B","mappings":{"default":{"default":"dibujos de cajas pesados ​​hacia arriba y hacia la izquierda"}}},{"key":"251C","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal"}},"category":"So"},{"category":"So","key":"251D","mappings":{"default":{"default":"cuadros de caja Vertical ligero y derecho pesado"}}},{"category":"So","key":"251E","mappings":{"default":{"default":"dibujos de cajas hasta pesados ​​y rectos hacia abajo"}}},{"category":"So","key":"251F","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y rectos arriba ligeros"}}},{"category":"So","key":"2520","mappings":{"default":{"default":"dibujos de cajas verticales pesadas y rectas ligeras"}}},{"category":"So","key":"2521","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y rectos arriba pesados"}}},{"category":"So","key":"2522","mappings":{"default":{"default":"dibujos de cajas para arriba livianos y rectos para abajo pesados"}}},{"category":"So","key":"2523","mappings":{"default":{"default":"dibujos de cajas pesadas verticales y derechas"}}},{"key":"2524","mappings":{"default":{"default":"delimitador derecho y separador horizontal"}},"category":"So"},{"category":"So","key":"2525","mappings":{"default":{"default":"cuadros de caja Vertical ligero y izquierdo pesado"}}},{"category":"So","key":"2526","mappings":{"default":{"default":"dibujos de cajas para arriba Pesado y Izquierda Abajo Luz"}}},{"category":"So","key":"2527","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y luz izquierda arriba"}}},{"category":"So","key":"2528","mappings":{"default":{"default":"dibujos de cajas verticales pesadas y luz izquierda"}}},{"category":"So","key":"2529","mappings":{"default":{"default":"dibujos de cajas abajo ligeros e izquierdos arriba pesados"}}},{"category":"So","key":"252A","mappings":{"default":{"default":"dibujos de cajas para arriba Ligero y Izquierda Abajo Pesado"}}},{"category":"So","key":"252B","mappings":{"default":{"default":"dibujos de cajas pesadas verticales e izquierdas"}}},{"key":"252C","mappings":{"default":{"default":"delimitador superior y separador vertical"}},"category":"So"},{"category":"So","key":"252D","mappings":{"default":{"default":"dibujos de cajas izquierda pesados ​​y derecha abajo luz"}}},{"category":"So","key":"252E","mappings":{"default":{"default":"dibujos de cajas, derecha, pesada y izquierda abajo, luz"}}},{"category":"So","key":"252F","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y horizontales pesados"}}},{"category":"So","key":"2530","mappings":{"default":{"default":"dibujos de cajas de luz pesada y horizontal"}}},{"category":"So","key":"2531","mappings":{"default":{"default":"dibujos de la caja de luz derecha y izquierda abajo pesado"}}},{"category":"So","key":"2532","mappings":{"default":{"default":"cuadros de caja izquierda ligera y derecha abajo pesada"}}},{"category":"So","key":"2533","mappings":{"default":{"default":"dibujos de cajas pesados ​​y horizontales"}}},{"key":"2534","mappings":{"default":{"default":"delimitador inferior y separador vertical"}},"category":"So"},{"category":"So","key":"2535","mappings":{"default":{"default":"dibujos de cajas izquierda pesada y derecha arriba ligera"}}},{"category":"So","key":"2536","mappings":{"default":{"default":"dibujos de caja derecha pesada y luz izquierda arriba"}}},{"category":"So","key":"2537","mappings":{"default":{"default":"dibujos de cajas hasta ligero y horizontal pesado"}}},{"category":"So","key":"2538","mappings":{"default":{"default":"dibujos de cajas hasta luz pesada y horizontal"}}},{"category":"So","key":"2539","mappings":{"default":{"default":"dibujos de cajas a la derecha, livianos y a la izquierda, pesados"}}},{"category":"So","key":"253A","mappings":{"default":{"default":"dibujos de cajas Izquierda Ligera y Derecha Arriba Pesada"}}},{"category":"So","key":"253B","mappings":{"default":{"default":"dibujos de cajas pesados ​​y horizontales"}}},{"key":"253C","mappings":{"default":{"default":"cruce de separadores sencillos"}},"category":"So"},{"category":"So","key":"253D","mappings":{"default":{"default":"dibujos de cajas Izquierda Pesada y Derecha Vertical Luz"}}},{"category":"So","key":"253E","mappings":{"default":{"default":"dibujos de caja derecha pesada y luz vertical izquierda"}}},{"category":"So","key":"253F","mappings":{"default":{"default":"dibujos de cajas Vertical Ligera y Horizontal Pesada"}}},{"category":"So","key":"2540","mappings":{"default":{"default":"dibujos de cajas para arriba pesados ​​y abajo luz horizontal"}}},{"category":"So","key":"2541","mappings":{"default":{"default":"dibujos de cajas hacia abajo pesados ​​y hacia arriba luz horizontal"}}},{"category":"So","key":"2542","mappings":{"default":{"default":"dibujos de cajas verticales pesadas y horizontales ligeras"}}},{"category":"So","key":"2543","mappings":{"default":{"default":"dibujos de cajas Izquierda Arriba Pesada y Derecha abajo Luz"}}},{"category":"So","key":"2544","mappings":{"default":{"default":"dibujos de caja derecha arriba pesada y izquierda abajo luz"}}},{"category":"So","key":"2545","mappings":{"default":{"default":"dibujos de cajas, izquierda abajo, pesada y derecha arriba, ligera"}}},{"category":"So","key":"2546","mappings":{"default":{"default":"dibujos de la caja derecha abajo pesada y izquierda arriba ligera"}}},{"category":"So","key":"2547","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y ascendentes horizontales pesados"}}},{"category":"So","key":"2548","mappings":{"default":{"default":"dibujos de cajas para arriba Ligero y para abajo horizontal pesado"}}},{"category":"So","key":"2549","mappings":{"default":{"default":"dibujos de cajas a la derecha, ligeros y a la izquierda, verticales, pesados"}}},{"category":"So","key":"254A","mappings":{"default":{"default":"dibujos de cajas Izquierda Ligera y Derecha Vertical Pesada"}}},{"category":"So","key":"254B","mappings":{"default":{"default":"dibujos de cajas pesadas verticales y horizontales"}}},{"category":"So","key":"254C","mappings":{"default":{"default":"dibujos de cajas Light Double Dash Horizontal"}}},{"category":"So","key":"254D","mappings":{"default":{"default":"dibujos de cajas Heavy Double Dash Horizontal"}}},{"category":"So","key":"254E","mappings":{"default":{"default":"dibujos de cajas Light Double Dash Vertical"}}},{"category":"So","key":"254F","mappings":{"default":{"default":"dibujos de cajas Heavy Double Dash Vertical"}}},{"key":"2550","mappings":{"default":{"default":"delimitador horizontal doble"}},"category":"So"},{"key":"2551","mappings":{"default":{"default":"delimitador vertical doble"}},"category":"So"},{"key":"2552","mappings":{"default":{"default":"esquina inferior derecha, vertical doble"}},"category":"So"},{"key":"2553","mappings":{"default":{"default":"esquina inferior derecha, horizontal doble"}},"category":"So"},{"key":"2554","mappings":{"default":{"default":"esquina inferior derecha doble"}},"category":"So"},{"key":"2555","mappings":{"default":{"default":"esquina inferior izquierda, vertical doble"}},"category":"So"},{"key":"2556","mappings":{"default":{"default":"esquina inferior izquierda, horizontal doble"}},"category":"So"},{"key":"2557","mappings":{"default":{"default":"esquina inferior izquierda doble"}},"category":"So"},{"key":"2558","mappings":{"default":{"default":"esquina superior derecha, vertical doble"}},"category":"So"},{"key":"2559","mappings":{"default":{"default":"esquina superior derecha, horizontal doble"}},"category":"So"},{"key":"255A","mappings":{"default":{"default":"esquina superior derecha doble"}},"category":"So"},{"key":"255B","mappings":{"default":{"default":"esquina superior izquierda, vertical doble"}},"category":"So"},{"key":"255C","mappings":{"default":{"default":"esquina superior izquierda, horizontal doble"}},"category":"So"},{"key":"255D","mappings":{"default":{"default":"esquina superior izquierda doble"}},"category":"So"},{"key":"255E","mappings":{"default":{"default":"delimitador izquierdo con separador doble"}},"category":"So"},{"key":"255F","mappings":{"default":{"default":"delimitador izquierdo doble con separador horizontal"}},"category":"So"},{"key":"2560","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal dobles"}},"category":"So"},{"key":"2561","mappings":{"default":{"default":"delimitador derecho con separador doble"}},"category":"So"},{"key":"2562","mappings":{"default":{"default":"delimitador derecho doble con separador horizontal"}},"category":"So"},{"key":"2563","mappings":{"default":{"default":"delimitador derecho y separador horizontal dobles"}},"category":"So"},{"key":"2564","mappings":{"default":{"default":"delimitador superior doble con separador vertical"}},"category":"So"},{"key":"2565","mappings":{"default":{"default":"delimitador superior con separador vertical doble"}},"category":"So"},{"key":"2566","mappings":{"default":{"default":"delimitador superior y separador vertical dobles"}},"category":"So"},{"key":"2567","mappings":{"default":{"default":"delimitador inferior doble con separador vertical"}},"category":"So"},{"key":"2568","mappings":{"default":{"default":"delimitador inferior con separador vertical doble"}},"category":"So"},{"key":"2569","mappings":{"default":{"default":"delimitador inferior y separador vertical dobles"}},"category":"So"},{"key":"256A","mappings":{"default":{"default":"cruce de separadores, vertical sencillo y horizontal doble"}},"category":"So"},{"key":"256B","mappings":{"default":{"default":"cruce de separadores, vertical doble y horizontal sencillo"}},"category":"So"},{"key":"256C","mappings":{"default":{"default":"cruce de separadores dobles"}},"category":"So"},{"category":"So","key":"256D","mappings":{"default":{"default":"dibujos de cajas de luz arco abajo y derecha"}}},{"category":"So","key":"256E","mappings":{"default":{"default":"dibujos de cajas de luz arco hacia abajo y hacia la izquierda"}}},{"category":"So","key":"256F","mappings":{"default":{"default":"dibujos de cajas de luz arco arriba y a la izquierda"}}},{"category":"So","key":"2570","mappings":{"default":{"default":"caja de dibujos de luz arco arriba y derecha"}}},{"category":"So","key":"2571","mappings":{"default":{"default":"dibujos de cajas Luz Diagonal Superior derecha a inferior izquierda"}}},{"category":"So","key":"2572","mappings":{"default":{"default":"dibujos de cajas Luz Diagonal Superior izquierda a inferior derecha"}}},{"category":"So","key":"2573","mappings":{"default":{"default":"dibujos de cajas de luz diagonal cruz"}}},{"category":"So","key":"2574","mappings":{"default":{"default":"dibujos de cajas luz izquierda"}}},{"category":"So","key":"2575","mappings":{"default":{"default":"dibujos de cajas se iluminan"}}},{"category":"So","key":"2576","mappings":{"default":{"default":"dibujos de cajas a la derecha"}}},{"category":"So","key":"2577","mappings":{"default":{"default":"dibujos de cajas de luz hacia abajo"}}},{"category":"So","key":"2578","mappings":{"default":{"default":"dibujos de cajas pesados ​​a la izquierda"}}},{"category":"So","key":"2579","mappings":{"default":{"default":"dibujos de cajas pesados"}}},{"category":"So","key":"257A","mappings":{"default":{"default":"caja de dibujos pesado derecho"}}},{"category":"So","key":"257B","mappings":{"default":{"default":"dibujos de cajas pesados"}}},{"category":"So","key":"257C","mappings":{"default":{"default":"dibujos de cajas Ligero Izquierda y Pesada Derecha"}}},{"category":"So","key":"257D","mappings":{"default":{"default":"dibujos de cajas iluminados y pesados"}}},{"category":"So","key":"257E","mappings":{"default":{"default":"dibujos de cajas Pesado Izquierda y Luz Derecha"}}},{"category":"So","key":"257F","mappings":{"default":{"default":"dibujos de cajas pesados ​​y ligeros"}}},{"key":"2580","mappings":{"default":{"default":"bloque mitad superior"}},"category":"So"},{"category":"So","key":"2581","mappings":{"default":{"default":"bajar un octavo bloque"}}},{"category":"So","key":"2582","mappings":{"default":{"default":"bloque de un cuarto inferior"}}},{"category":"So","key":"2583","mappings":{"default":{"default":"bloque de tres octavos más bajo"}}},{"key":"2584","mappings":{"default":{"default":"bloque mitad inferior"}},"category":"So"},{"category":"So","key":"2585","mappings":{"default":{"default":"bloque inferior de cinco octavos"}}},{"category":"So","key":"2586","mappings":{"default":{"default":"bloque de tres cuartos más bajo"}}},{"category":"So","key":"2587","mappings":{"default":{"default":"lower Seven Eighths Block"}}},{"key":"2588","mappings":{"default":{"default":"bloque"}},"category":"So"},{"category":"So","key":"2589","mappings":{"default":{"default":"bloque de siete octavos a la izquierda"}}},{"category":"So","key":"258A","mappings":{"default":{"default":"bloque de tres cuartos a la izquierda"}}},{"category":"So","key":"258B","mappings":{"default":{"default":"bloque de cinco octavos a la izquierda"}}},{"category":"So","key":"258C","mappings":{"default":{"default":"media cuadra izquierda"}}},{"category":"So","key":"258D","mappings":{"default":{"default":"bloque de tres octavos a la izquierda"}}},{"category":"So","key":"258E","mappings":{"default":{"default":"bloque de un cuarto a la izquierda"}}},{"category":"So","key":"258F","mappings":{"default":{"default":"izquierda un octavo bloque"}}},{"category":"So","key":"2590","mappings":{"default":{"default":"media cuadra derecha"}}},{"key":"2591","mappings":{"default":{"default":"sombra ligera"}},"category":"So"},{"key":"2592","mappings":{"default":{"default":"sombra media"}},"category":"So"},{"key":"2593","mappings":{"default":{"default":"sombra intensa"}},"category":"So"},{"category":"So","key":"2594","mappings":{"default":{"default":"upper One Eighth Block"}}},{"category":"So","key":"2595","mappings":{"default":{"default":"a la derecha un octavo bloque"}}},{"category":"So","key":"2596","mappings":{"default":{"default":"cuadrante inferior izquierdo"}}},{"category":"So","key":"2597","mappings":{"default":{"default":"cuadrante inferior derecho"}}},{"category":"So","key":"2598","mappings":{"default":{"default":"cuadrante superior izquierdo"}}},{"category":"So","key":"2599","mappings":{"default":{"default":"cuadrante superior izquierdo e inferior izquierdo e inferior derecho"}}},{"category":"So","key":"259A","mappings":{"default":{"default":"cuadrante superior izquierdo e inferior derecho"}}},{"category":"So","key":"259B","mappings":{"default":{"default":"cuadrante superior izquierdo y superior derecho e inferior izquierdo"}}},{"category":"So","key":"259C","mappings":{"default":{"default":"cuadrante superior izquierdo y superior derecho e inferior derecho"}}},{"category":"So","key":"259D","mappings":{"default":{"default":"cuadrante superior derecho"}}},{"category":"So","key":"259E","mappings":{"default":{"default":"cuadrante superior derecho e inferior izquierdo"}}},{"category":"So","key":"259F","mappings":{"default":{"default":"cuadrante superior derecho e inferior izquierdo e inferior derecho"}}},{"key":"25A0","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25A1","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"category":"So","key":"25A2","mappings":{"default":{"default":"cuadrado blanco con esquinas redondeadas"}}},{"category":"So","key":"25A3","mappings":{"default":{"default":"cuadrado blanco que contiene cuadrado pequeño negro"}}},{"category":"So","key":"25A4","mappings":{"default":{"default":"cuadrado con relleno horizontal"}}},{"category":"So","key":"25A5","mappings":{"default":{"default":"cuadrado con relleno vertical"}}},{"category":"So","key":"25A6","mappings":{"default":{"default":"cuadrado con relleno de rayado ortogonal"}}},{"category":"So","key":"25A7","mappings":{"default":{"default":"cuadrado con la esquina superior izquierda a la derecha inferior"}}},{"category":"So","key":"25A8","mappings":{"default":{"default":"cuadrado con la parte superior derecha hacia abajo izquierda Relleno"}}},{"category":"So","key":"25A9","mappings":{"default":{"default":"cuadrado con relleno de rayado diagonal"}}},{"key":"25AA","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25AB","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"category":"So","key":"25AC","mappings":{"default":{"default":"rectángulo negro"}}},{"key":"25AD","mappings":{"default":{"default":"rectángulo"}},"category":"So"},{"key":"25AE","mappings":{"default":{"default":"rectángulo relleno vertical"}},"category":"So"},{"key":"25AF","mappings":{"default":{"default":"rectángulo vertical"}},"category":"So"},{"category":"So","key":"25B0","mappings":{"default":{"default":"paralelogramo negro"}}},{"key":"25B1","mappings":{"default":{"default":"paralelogramo"}},"category":"So"},{"key":"25B2","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B3","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B4","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B5","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B6","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B7","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"Sm"},{"key":"25B8","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B9","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"So"},{"category":"So","key":"25BA","mappings":{"default":{"default":"indicador de apuntar hacia la derecha negro"}}},{"category":"So","key":"25BB","mappings":{"default":{"default":"puntero de apuntar hacia la derecha blanco"}}},{"key":"25BC","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BD","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25BE","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BF","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25C0","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C1","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"Sm"},{"key":"25C2","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C3","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"So"},{"key":"25C4","mappings":{"default":{"default":"puntero relleno señala izquierda"}},"category":"So"},{"key":"25C5","mappings":{"default":{"default":"puntero señala izquierda"}},"category":"So"},{"key":"25C6","mappings":{"default":{"default":"diamante relleno"}},"category":"So"},{"key":"25C7","mappings":{"default":{"default":"diamante"}},"category":"So"},{"key":"25C8","mappings":{"default":{"default":"diamante vacío contiene diamante relleno"}},"category":"So"},{"key":"25C9","mappings":{"default":{"default":"ojo de pez"}},"category":"So"},{"key":"25CA","mappings":{"default":{"default":"rombo"}},"category":"So"},{"key":"25CB","mappings":{"default":{"default":"círculo vacío"}},"category":"So"},{"key":"25CC","mappings":{"default":{"default":"círculo punteado"}},"category":"So"},{"key":"25CD","mappings":{"default":{"default":"círculo con relleno vertical"}},"category":"So"},{"key":"25CE","mappings":{"default":{"default":"blanco"}},"category":"So"},{"key":"25CF","mappings":{"default":{"default":"círculo relleno"}},"category":"So"},{"key":"25D0","mappings":{"default":{"default":"círculo con mitad izquierda rellena"}},"category":"So"},{"key":"25D1","mappings":{"default":{"default":"círculo con mitad derecha rellena"}},"category":"So"},{"key":"25D2","mappings":{"default":{"default":"círculo con mitad inferior rellena"}},"category":"So"},{"key":"25D3","mappings":{"default":{"default":"círculo con mitad superior rellena"}},"category":"So"},{"key":"25D4","mappings":{"default":{"default":"círculo con cuadrante superior derecho relleno"}},"category":"So"},{"key":"25D5","mappings":{"default":{"default":"círculo con cuadrante superior izquierdo relleno"}},"category":"So"},{"key":"25D6","mappings":{"default":{"default":"semicírculo izquierdo relleno"}},"category":"So"},{"key":"25D7","mappings":{"default":{"default":"semicírculo derecho relleno"}},"category":"So"},{"key":"25D8","mappings":{"default":{"default":"bullet inversa"}},"category":"So"},{"key":"25D9","mappings":{"default":{"default":"círculo vacío inverso"}},"category":"So"},{"key":"25DA","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DB","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DC","mappings":{"default":{"default":"arco superior izquierda"}},"category":"So"},{"key":"25DD","mappings":{"default":{"default":"arco superior derecha"}},"category":"So"},{"key":"25DE","mappings":{"default":{"default":"arco inferior derecha"}},"category":"So"},{"key":"25DF","mappings":{"default":{"default":"arco inferior izquierda"}},"category":"So"},{"key":"25E0","mappings":{"default":{"default":"semicírculo superior"}},"category":"So"},{"key":"25E1","mappings":{"default":{"default":"semicírculo inferior"}},"category":"So"},{"key":"25E2","mappings":{"default":{"default":"triángulo inferior derecha relleno"}},"category":"So"},{"key":"25E3","mappings":{"default":{"default":"triángulo inferior izquierda relleno"}},"category":"So"},{"key":"25E4","mappings":{"default":{"default":"triángulo superior izquierda relleno"}},"category":"So"},{"key":"25E5","mappings":{"default":{"default":"triángulo superior derecha relleno"}},"category":"So"},{"key":"25E6","mappings":{"default":{"default":"composición"}},"category":"So"},{"key":"25E7","mappings":{"default":{"default":"cuadrado con mitad izquierda rellena"}},"category":"So"},{"key":"25E8","mappings":{"default":{"default":"cuadrado con mitad derecha rellena"}},"category":"So"},{"key":"25E9","mappings":{"default":{"default":"cuadrado con mitad superior izquierda rellena"}},"category":"So"},{"key":"25EA","mappings":{"default":{"default":"cuadrado con mitad inferior derecha rellena"}},"category":"So"},{"key":"25EB","mappings":{"default":{"default":"cuadrado con bisectriz"}},"category":"So"},{"key":"25EC","mappings":{"default":{"default":"triángulo vacío con punto"}},"category":"So"},{"key":"25ED","mappings":{"default":{"default":"triángulo apuntando arriba con mitad izquierda rellena"}},"category":"So"},{"key":"25EE","mappings":{"default":{"default":"triángulo apuntando arriba con mitad derecha rellena"}},"category":"So"},{"key":"25EF","mappings":{"default":{"default":"círculo grande"}},"category":"So"},{"category":"So","key":"25F0","mappings":{"default":{"default":"cuadrado blanco con cuadrante superior izquierdo"}}},{"category":"So","key":"25F1","mappings":{"default":{"default":"cuadrado blanco con cuadrante inferior izquierdo"}}},{"category":"So","key":"25F2","mappings":{"default":{"default":"cuadrado blanco con cuadrante inferior derecho"}}},{"category":"So","key":"25F3","mappings":{"default":{"default":"cuadrado blanco con cuadrante superior derecho"}}},{"category":"So","key":"25F4","mappings":{"default":{"default":"círculo blanco con cuadrante superior izquierdo"}}},{"category":"So","key":"25F5","mappings":{"default":{"default":"círculo blanco con cuadrante inferior izquierdo"}}},{"category":"So","key":"25F6","mappings":{"default":{"default":"círculo blanco con cuadrante inferior derecho"}}},{"category":"So","key":"25F7","mappings":{"default":{"default":"círculo blanco con cuadrante superior derecho"}}},{"key":"25F8","mappings":{"default":{"default":"triángulo superior izquierda"}},"category":"Sm"},{"key":"25F9","mappings":{"default":{"default":"triángulo superior derecha"}},"category":"Sm"},{"key":"25FA","mappings":{"default":{"default":"triángulo inferior izquierda"}},"category":"Sm"},{"key":"25FB","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FC","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FD","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FE","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FF","mappings":{"default":{"default":"triángulo inferior derecha"}},"category":"Sm"},{"category":"So","key":"2B12","mappings":{"default":{"default":"cuadrado con mitad superior negra"}}},{"category":"So","key":"2B13","mappings":{"default":{"default":"cuadrado con mitad inferior negra"}}},{"category":"So","key":"2B14","mappings":{"default":{"default":"cuadrado con mitad derecha superior diagonal negra"}}},{"category":"So","key":"2B15","mappings":{"default":{"default":"cuadrado con mitad diagonal izquierda inferior negra"}}},{"category":"So","key":"2B16","mappings":{"default":{"default":"diamante con Mitad Izquierda Negro"}}},{"category":"So","key":"2B17","mappings":{"default":{"default":"diamante con mitad derecha negra"}}},{"category":"So","key":"2B18","mappings":{"default":{"default":"diamante con mitad superior negra"}}},{"category":"So","key":"2B19","mappings":{"default":{"default":"diamante con mitad inferior negra"}}},{"category":"So","key":"2B1A","mappings":{"default":{"default":"cuadrado punteado"}}},{"category":"So","key":"2B1B","mappings":{"default":{"default":"cuadrado grande negro"}}},{"category":"So","key":"2B1C","mappings":{"default":{"default":"gran Plaza Blanca"}}},{"category":"So","key":"2B1D","mappings":{"default":{"default":"cuadrado muy pequeño negro"}}},{"category":"So","key":"2B1E","mappings":{"default":{"default":"cuadrado muy pequeño blanco"}}},{"category":"So","key":"2B1F","mappings":{"default":{"default":"pentágono negro"}}},{"category":"So","key":"2B20","mappings":{"default":{"default":"pentágono blanco"}}},{"category":"So","key":"2B21","mappings":{"default":{"default":"hexágono blanco"}}},{"category":"So","key":"2B22","mappings":{"default":{"default":"hexágono negro"}}},{"category":"So","key":"2B23","mappings":{"default":{"default":"hexagonal negro horizontal"}}},{"category":"So","key":"2B24","mappings":{"default":{"default":"circulo grande negro"}}},{"category":"So","key":"2B25","mappings":{"default":{"default":"diamante Mediano Negro"}}},{"category":"So","key":"2B26","mappings":{"default":{"default":"diamante blanco medio"}}},{"category":"So","key":"2B27","mappings":{"default":{"default":"lozenge Mediano Negro"}}},{"category":"So","key":"2B28","mappings":{"default":{"default":"pastilla blanca mediana"}}},{"category":"So","key":"2B29","mappings":{"default":{"default":"pequeño diamante negro"}}},{"category":"So","key":"2B2A","mappings":{"default":{"default":"lozenge pequeño negro"}}},{"category":"So","key":"2B2B","mappings":{"default":{"default":"lozenge pequeño blanco"}}},{"category":"So","key":"2B2C","mappings":{"default":{"default":"elipse horizontal negro"}}},{"category":"So","key":"2B2D","mappings":{"default":{"default":"elipse horizontal blanco"}}},{"category":"So","key":"2B2E","mappings":{"default":{"default":"elipse Vertical Negro"}}},{"category":"So","key":"2B2F","mappings":{"default":{"default":"elipse Vertical Blanco"}}},{"key":"2B50","mappings":{"default":{"default":"estrella media vacía"}},"category":"So"},{"key":"2B51","mappings":{"default":{"default":"estrella pequeña rellena"}},"category":"So"},{"key":"2B52","mappings":{"default":{"default":"estrella pequeña vacía"}},"category":"So"},{"category":"So","key":"2B53","mappings":{"default":{"default":"pentágono negro que señala hacia la derecha"}}},{"category":"So","key":"2B54","mappings":{"default":{"default":"pentágono blanco que señala hacia la derecha"}}},{"category":"So","key":"2B55","mappings":{"default":{"default":"círculo grande pesado"}}},{"category":"So","key":"2B56","mappings":{"default":{"default":"óvalo pesado con interior oval"}}},{"category":"So","key":"2B57","mappings":{"default":{"default":"círculo pesado con círculo dentro"}}},{"category":"So","key":"2B58","mappings":{"default":{"default":"círculo pesado"}}},{"category":"So","key":"2B59","mappings":{"default":{"default":"saltire en círculo pesado"}}}]
 ,
-"es/latin-mathfonts-fraktur.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula A"}},"key":"1D504"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula B"}},"key":"1D505"},{"key":"212D","mappings":{"default":{"default":"Fraktur mayúscula C"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula D"}},"key":"1D507"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula E"}},"key":"1D508"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula F"}},"key":"1D509"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula G"}},"key":"1D50A"},{"key":"210C","mappings":{"default":{"default":"Fraktur mayúscula H"}},"category":"Lu"},{"key":"2111","mappings":{"default":{"default":"Fraktur mayúscula I"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula J"}},"key":"1D50D"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula K"}},"key":"1D50E"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula L"}},"key":"1D50F"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula M"}},"key":"1D510"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula N"}},"key":"1D511"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula O"}},"key":"1D512"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula P"}},"key":"1D513"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula Q"}},"key":"1D514"},{"key":"211C","mappings":{"default":{"default":"Fraktur mayúscula R"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula S"}},"key":"1D516"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula T"}},"key":"1D517"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula U"}},"key":"1D518"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula V"}},"key":"1D519"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula W"}},"key":"1D51A"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula X"}},"key":"1D51B"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula Y"}},"key":"1D51C"},{"key":"2128","mappings":{"default":{"default":"Fraktur mayúscula Z"}},"category":"Lu"},{"category":"Ll","mappings":{"default":{"default":"Fraktur a"}},"key":"1D51E"},{"category":"Ll","mappings":{"default":{"default":"Fraktur b"}},"key":"1D51F"},{"category":"Ll","mappings":{"default":{"default":"Fraktur c"}},"key":"1D520"},{"category":"Ll","mappings":{"default":{"default":"Fraktur d"}},"key":"1D521"},{"category":"Ll","mappings":{"default":{"default":"Fraktur e"}},"key":"1D522"},{"category":"Ll","mappings":{"default":{"default":"Fraktur f"}},"key":"1D523"},{"category":"Ll","mappings":{"default":{"default":"Fraktur g"}},"key":"1D524"},{"category":"Ll","mappings":{"default":{"default":"Fraktur h"}},"key":"1D525"},{"category":"Ll","mappings":{"default":{"default":"Fraktur i"}},"key":"1D526"},{"category":"Ll","mappings":{"default":{"default":"Fraktur j"}},"key":"1D527"},{"category":"Ll","mappings":{"default":{"default":"Fraktur k"}},"key":"1D528"},{"category":"Ll","mappings":{"default":{"default":"Fraktur l"}},"key":"1D529"},{"category":"Ll","mappings":{"default":{"default":"Fraktur m"}},"key":"1D52A"},{"category":"Ll","mappings":{"default":{"default":"Fraktur n"}},"key":"1D52B"},{"category":"Ll","mappings":{"default":{"default":"Fraktur o"}},"key":"1D52C"},{"category":"Ll","mappings":{"default":{"default":"Fraktur p"}},"key":"1D52D"},{"category":"Ll","mappings":{"default":{"default":"Fraktur q"}},"key":"1D52E"},{"category":"Ll","mappings":{"default":{"default":"Fraktur r"}},"key":"1D52F"},{"category":"Ll","mappings":{"default":{"default":"Fraktur s"}},"key":"1D530"},{"category":"Ll","mappings":{"default":{"default":"Fraktur t"}},"key":"1D531"},{"category":"Ll","mappings":{"default":{"default":"Fraktur u"}},"key":"1D532"},{"category":"Ll","mappings":{"default":{"default":"Fraktur v"}},"key":"1D533"},{"category":"Ll","mappings":{"default":{"default":"Fraktur w"}},"key":"1D534"},{"category":"Ll","mappings":{"default":{"default":"Fraktur x"}},"key":"1D535"},{"category":"Ll","mappings":{"default":{"default":"Fraktur y"}},"key":"1D536"},{"category":"Ll","mappings":{"default":{"default":"Fraktur z"}},"key":"1D537"}]
+"es/symbols/math_harpoons.js": 
+[{"locale":"es"},{"key":"21BC","mappings":{"default":{"default":"flecha izquierda con arpón arriba"}},"category":"So"},{"key":"21BD","mappings":{"default":{"default":"flecha izquierda con arpón debajo"}},"category":"So"},{"key":"21BE","mappings":{"default":{"default":"flecha arriba con arpón derecho"}},"category":"So"},{"key":"21BF","mappings":{"default":{"default":"flecha arriba con arpón izquierdo"}},"category":"So"},{"key":"21C0","mappings":{"default":{"default":"flecha derecha con arpón arriba"}},"category":"So"},{"key":"21C1","mappings":{"default":{"default":"flecha derecha con arpón debajo"}},"category":"So"},{"key":"21C2","mappings":{"default":{"default":"flecha abajo con arpón derecho"}},"category":"So"},{"key":"21C3","mappings":{"default":{"default":"flecha abajo con arpón izquierdo"}},"category":"So"},{"key":"21CB","mappings":{"default":{"default":"arpón izquierdo arriba de arpón derecho"}},"category":"So"},{"key":"21CC","mappings":{"default":{"default":"arpón derecho arriba de arpón izquierdo"}},"category":"So"},{"category":"Sm","key":"294A","mappings":{"default":{"default":"barra izquierda arriba barra derecha abajo arpón"}}},{"category":"Sm","key":"294B","mappings":{"default":{"default":"barra izquierda abajo barra derecha arriba arpón"}}},{"category":"Sm","key":"294C","mappings":{"default":{"default":"up barb right down barb left harpoon"}}},{"category":"Sm","key":"294D","mappings":{"default":{"default":"arriba barb izquierda abajo barb derecha arpón"}}},{"category":"Sm","key":"294E","mappings":{"default":{"default":"barra izquierda arriba barra derecha arriba arpón"}}},{"key":"294F","mappings":{"default":{"default":"arpón a la derecha hacia arriba y abajo"}},"category":"Sm"},{"category":"Sm","key":"2950","mappings":{"default":{"default":"barra izquierda abajo barra derecha abajo arpón"}}},{"key":"2951","mappings":{"default":{"default":"arpón a la izquierda hacia arriba y abajo"}},"category":"Sm"},{"category":"Sm","key":"2952","mappings":{"default":{"default":"arpón a la izquierda con púa hasta la barra"}}},{"category":"Sm","key":"2953","mappings":{"default":{"default":"arpón a la derecha con púa hasta la barra"}}},{"category":"Sm","key":"2954","mappings":{"default":{"default":"arpón ascendente con púa derecha a barra"}}},{"category":"Sm","key":"2955","mappings":{"default":{"default":"arpón hacia abajo con púa derecha a barra"}}},{"category":"Sm","key":"2956","mappings":{"default":{"default":"arpón a la izquierda con púas abajo a la barra"}}},{"category":"Sm","key":"2957","mappings":{"default":{"default":"arpón a la derecha con púa abajo a la barra"}}},{"category":"Sm","key":"2958","mappings":{"default":{"default":"arpón ascendente con púa izquierda a barra"}}},{"category":"Sm","key":"2959","mappings":{"default":{"default":"arpón hacia abajo con la barra izquierda a la barra"}}},{"category":"Sm","key":"295A","mappings":{"default":{"default":"arpón a la izquierda con púa arriba de la barra"}}},{"category":"Sm","key":"295B","mappings":{"default":{"default":"arpón a la derecha con púa arriba del bar"}}},{"category":"Sm","key":"295C","mappings":{"default":{"default":"arpón ascendente con púa derecha de barra"}}},{"category":"Sm","key":"295D","mappings":{"default":{"default":"arpón hacia abajo con púa derecha de barra"}}},{"category":"Sm","key":"295E","mappings":{"default":{"default":"arpón a la izquierda con púa abajo de barra"}}},{"category":"Sm","key":"295F","mappings":{"default":{"default":"arpón a la derecha con púa abajo de barra"}}},{"category":"Sm","key":"2960","mappings":{"default":{"default":"arpón ascendente con púa izquierda de barra"}}},{"category":"Sm","key":"2961","mappings":{"default":{"default":"arpón hacia abajo con barra izquierda de barra"}}},{"category":"Sm","key":"2962","mappings":{"default":{"default":"arpón a la izquierda con púas arriba arriba arpón a la izquierda con púas abajo"}}},{"category":"Sm","key":"2963","mappings":{"default":{"default":"arpón ascendente con púa izquierda al lado arpón ascendente con púa derecha"}}},{"category":"Sm","key":"2964","mappings":{"default":{"default":"arpón a la derecha con púas arriba arriba arpón a la derecha con púas abajo"}}},{"category":"Sm","key":"2965","mappings":{"default":{"default":"arpón hacia abajo con lengüeta a la izquierda al lado arpón hacia abajo con lengüeta a la derecha"}}},{"category":"Sm","key":"2966","mappings":{"default":{"default":"arpón a la izquierda con púa arriba arriba arpón a la derecha con púa arriba"}}},{"category":"Sm","key":"2967","mappings":{"default":{"default":"arpón a la izquierda con púa abajo arriba arpón a la derecha con púa abajo"}}},{"category":"Sm","key":"2968","mappings":{"default":{"default":"arpón a la derecha con púas arriba arriba arpón a la izquierda con púas arriba"}}},{"category":"Sm","key":"2969","mappings":{"default":{"default":"arpón a la derecha con púa abajo arriba arpón a la izquierda con púa abajo"}}},{"key":"296A","mappings":{"default":{"default":"barra con arpón hacia la izquierda"}},"category":"Sm"},{"key":"296B","mappings":{"default":{"default":"arpón hacia la izquierda con barra"}},"category":"Sm"},{"key":"296C","mappings":{"default":{"default":"barra con arpón hacia la derecha"}},"category":"Sm"},{"key":"296D","mappings":{"default":{"default":"arpón hacia la derecha con barra"}},"category":"Sm"},{"category":"Sm","key":"296E","mappings":{"default":{"default":"arpón ascendente con púa izquierda al lado arpón hacia abajo con púa derecha"}}},{"category":"Sm","key":"296F","mappings":{"default":{"default":"arpón hacia abajo con lengüeta a la izquierda al lado arpón hacia arriba con pica a la derecha"}}},{"category":"Sm","key":"297C","mappings":{"default":{"default":"cola de pescado izquierda"}}},{"category":"Sm","key":"297D","mappings":{"default":{"default":"cola de pescado derecha"}}},{"key":"297E","mappings":{"default":{"default":"barra con doble gancho"}},"category":"Sm"},{"category":"Sm","key":"297F","mappings":{"default":{"default":"cola de pez abajo"}}}]
 ,
-"es/latin-mathfonts-italic.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula A"}},"key":"1D434"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula B"}},"key":"1D435"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula C"}},"key":"1D436"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula D"}},"key":"1D437"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula E"}},"key":"1D438"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula F"}},"key":"1D439"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula G"}},"key":"1D43A"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula H"}},"key":"1D43B"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula I"}},"key":"1D43C"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula J"}},"key":"1D43D"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula K"}},"key":"1D43E"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula L"}},"key":"1D43F"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula M"}},"key":"1D440"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula N"}},"key":"1D441"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula O"}},"key":"1D442"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula P"}},"key":"1D443"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Q"}},"key":"1D444"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula R"}},"key":"1D445"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula S"}},"key":"1D446"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula T"}},"key":"1D447"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula U"}},"key":"1D448"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula V"}},"key":"1D449"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula W"}},"key":"1D44A"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula X"}},"key":"1D44B"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Y"}},"key":"1D44C"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Z"}},"key":"1D44D"},{"category":"Ll","mappings":{"default":{"default":"cursiva a"}},"key":"1D44E"},{"category":"Ll","mappings":{"default":{"default":"cursiva b"}},"key":"1D44F"},{"category":"Ll","mappings":{"default":{"default":"cursiva c"}},"key":"1D450"},{"category":"Ll","mappings":{"default":{"default":"cursiva d"}},"key":"1D451"},{"category":"Ll","mappings":{"default":{"default":"cursiva e"}},"key":"1D452"},{"category":"Ll","mappings":{"default":{"default":"cursiva f"}},"key":"1D453"},{"category":"Ll","mappings":{"default":{"default":"cursiva g"}},"key":"1D454"},{"key":"210E","mappings":{"default":{"default":"constante de Planck"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"cursiva i"}},"key":"1D456"},{"category":"Ll","mappings":{"default":{"default":"cursiva j"}},"key":"1D457"},{"category":"Ll","mappings":{"default":{"default":"cursiva k"}},"key":"1D458"},{"category":"Ll","mappings":{"default":{"default":"cursiva l"}},"key":"1D459"},{"category":"Ll","mappings":{"default":{"default":"cursiva m"}},"key":"1D45A"},{"category":"Ll","mappings":{"default":{"default":"cursiva n"}},"key":"1D45B"},{"category":"Ll","mappings":{"default":{"default":"cursiva o"}},"key":"1D45C"},{"category":"Ll","mappings":{"default":{"default":"cursiva p"}},"key":"1D45D"},{"category":"Ll","mappings":{"default":{"default":"cursiva q"}},"key":"1D45E"},{"category":"Ll","mappings":{"default":{"default":"cursiva r"}},"key":"1D45F"},{"category":"Ll","mappings":{"default":{"default":"cursiva s"}},"key":"1D460"},{"category":"Ll","mappings":{"default":{"default":"cursiva t"}},"key":"1D461"},{"category":"Ll","mappings":{"default":{"default":"cursiva u"}},"key":"1D462"},{"category":"Ll","mappings":{"default":{"default":"cursiva v"}},"key":"1D463"},{"category":"Ll","mappings":{"default":{"default":"cursiva w"}},"key":"1D464"},{"category":"Ll","mappings":{"default":{"default":"cursiva x"}},"key":"1D465"},{"category":"Ll","mappings":{"default":{"default":"cursiva y"}},"key":"1D466"},{"category":"Ll","mappings":{"default":{"default":"cursiva z"}},"key":"1D467"}]
+"es/symbols/math_non_characters.js": 
+[{"locale":"es"},{"key":"210F","mappings":{"default":{"default":"h barra"}},"category":"Ll"},{"category":"So","key":"2114","mappings":{"default":{"default":"L B símbolo de barra"}}},{"key":"2116","mappings":{"default":{"default":"signo de número"}},"category":"So"},{"key":"2117","mappings":{"default":{"default":"derechos de autor de sonido"}},"category":"So"},{"key":"211E","mappings":{"default":{"default":"receta"}},"category":"So"},{"category":"So","key":"211F","mappings":{"default":{"default":"respuesta"}}},{"category":"So","key":"2120","mappings":{"default":{"default":"marca de servicio"}}},{"category":"So","key":"2121","mappings":{"default":{"default":"señal de telefono"}}},{"key":"2122","mappings":{"default":{"default":"registrado"}},"category":"So"},{"category":"So","key":"2123","mappings":{"default":{"default":"versículo"}}},{"key":"2125","mappings":{"default":{"default":"onza"}},"category":"So"},{"key":"2126","mappings":{"default":{"default":"ohmio"}},"category":"Lu"},{"key":"2127","mappings":{"default":{"default":"ohmio invertido"}},"category":"So"},{"key":"212A","mappings":{"default":{"default":"grados kelvin"}},"category":"Lu"},{"key":"212B","mappings":{"default":{"default":"angstrom"}},"category":"Lu"},{"category":"So","key":"212E","mappings":{"default":{"default":"Símbolo estimado"}}},{"key":"2132","mappings":{"default":{"default":"mayúscula F invertida"}},"category":"Lu"},{"category":"Ll","key":"2139","mappings":{"default":{"default":"fuente de información"}}},{"category":"So","key":"213A","mappings":{"default":{"default":"capital rotado Q"}}},{"category":"So","key":"213B","mappings":{"default":{"default":"signo de fax"}}},{"category":"Sm","key":"2141","mappings":{"default":{"default":"convertido sans serif mayúscula G"}}},{"category":"Sm","key":"2142","mappings":{"default":{"default":"convertido sans serif mayúscula L"}}},{"category":"Sm","key":"2143","mappings":{"default":{"default":"invertido sans serif mayúscula L"}}},{"category":"Sm","key":"2144","mappings":{"default":{"default":"convertido en sans serif mayúscula Y"}}}]
 ,
-"es/latin-mathfonts-monospace.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula A"}},"key":"1D670"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula B"}},"key":"1D671"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula C"}},"key":"1D672"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula D"}},"key":"1D673"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula E"}},"key":"1D674"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula F"}},"key":"1D675"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula G"}},"key":"1D676"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula H"}},"key":"1D677"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula I"}},"key":"1D678"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula J"}},"key":"1D679"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula K"}},"key":"1D67A"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula L"}},"key":"1D67B"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula M"}},"key":"1D67C"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula N"}},"key":"1D67D"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula O"}},"key":"1D67E"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula P"}},"key":"1D67F"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula Q"}},"key":"1D680"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula R"}},"key":"1D681"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula S"}},"key":"1D682"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula T"}},"key":"1D683"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula U"}},"key":"1D684"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula V"}},"key":"1D685"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula W"}},"key":"1D686"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula X"}},"key":"1D687"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula Y"}},"key":"1D688"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula Z"}},"key":"1D689"},{"category":"Ll","mappings":{"default":{"default":"monoespacio a"}},"key":"1D68A"},{"category":"Ll","mappings":{"default":{"default":"monoespacio b"}},"key":"1D68B"},{"category":"Ll","mappings":{"default":{"default":"monoespacio c"}},"key":"1D68C"},{"category":"Ll","mappings":{"default":{"default":"monoespacio d"}},"key":"1D68D"},{"category":"Ll","mappings":{"default":{"default":"monoespacio e"}},"key":"1D68E"},{"category":"Ll","mappings":{"default":{"default":"monoespacio f"}},"key":"1D68F"},{"category":"Ll","mappings":{"default":{"default":"monoespacio g"}},"key":"1D690"},{"category":"Ll","mappings":{"default":{"default":"monoespacio h"}},"key":"1D691"},{"category":"Ll","mappings":{"default":{"default":"monoespacio i"}},"key":"1D692"},{"category":"Ll","mappings":{"default":{"default":"monoespacio j"}},"key":"1D693"},{"category":"Ll","mappings":{"default":{"default":"monoespacio k"}},"key":"1D694"},{"category":"Ll","mappings":{"default":{"default":"monoespacio l"}},"key":"1D695"},{"category":"Ll","mappings":{"default":{"default":"monoespacio m"}},"key":"1D696"},{"category":"Ll","mappings":{"default":{"default":"monoespacio n"}},"key":"1D697"},{"category":"Ll","mappings":{"default":{"default":"monoespacio o"}},"key":"1D698"},{"category":"Ll","mappings":{"default":{"default":"monoespacio p"}},"key":"1D699"},{"category":"Ll","mappings":{"default":{"default":"monoespacio q"}},"key":"1D69A"},{"category":"Ll","mappings":{"default":{"default":"monoespacio r"}},"key":"1D69B"},{"category":"Ll","mappings":{"default":{"default":"monoespacio s"}},"key":"1D69C"},{"category":"Ll","mappings":{"default":{"default":"monoespacio t"}},"key":"1D69D"},{"category":"Ll","mappings":{"default":{"default":"monoespacio u"}},"key":"1D69E"},{"category":"Ll","mappings":{"default":{"default":"monoespacio v"}},"key":"1D69F"},{"category":"Ll","mappings":{"default":{"default":"monoespacio w"}},"key":"1D6A0"},{"category":"Ll","mappings":{"default":{"default":"monoespacio x"}},"key":"1D6A1"},{"category":"Ll","mappings":{"default":{"default":"monoespacio y"}},"key":"1D6A2"},{"category":"Ll","mappings":{"default":{"default":"monoespacio z"}},"key":"1D6A3"}]
+"es/symbols/math_symbols.js": 
+[{"locale":"es"},{"key":"0021","mappings":{"default":{"default":"factorial"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"comillas"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"almuhadilla","defaultMP":"signo de número"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"dólar"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"porciento"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"ampersand"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"prima","defaultMP":"apóstrofo"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"por"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"más"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"coma"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"key":"002E","mappings":{"default":{"default":"punto"}},"category":"Po"},{"key":"002F","mappings":{"default":{"default":"barra oblicua"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"dos puntos"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"punto y coma"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"menor que"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"igual"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"mayor que"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"interrogación derecho","defaultMP":"cierra interrogación"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"arroba"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"barra inversa"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circunflejo"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"subrayado"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"acento grave"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"admiración izquierdo","defaultMP":"abre admiración"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"centavo"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"libra esterlina"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"moneda"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"barra vertical partida"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"sección"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"diéresis"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"ordinal femenino"}},"category":"Lo"},{"key":"00AB","mappings":{"default":{"default":"comillas angulares izquierda","defaultMP":"abre comillas angulares"}},"category":"Pi"},{"key":"00AC","mappings":{"default":{"default":"negación"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"registrado"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"barra"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"grado"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"más menos"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"acento agudo"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"micro"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"párrafo"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"punto medio"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"cedilla"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"ordinal masculino"}},"category":"Lo"},{"key":"00BB","mappings":{"default":{"default":"comillas angulares derecha","defaultMP":"cierra comillas angulares"}},"category":"Pf"},{"key":"00BF","mappings":{"default":{"default":"interrogación izquierdo","defaultMP":"abre interrogación"}},"category":"Po"},{"key":"00D7","mappings":{"default":{"default":"por"}},"category":"Sm"},{"key":"00F7","mappings":{"default":{"default":"dividido"}},"category":"Sm"},{"key":"02D8","mappings":{"default":{"default":"breve"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"punto en superescrito"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"anillo en superescrito"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"doble acento agudo"}},"category":"Sk"},{"key":"2010","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"category":"Pd","key":"2011","mappings":{"default":{"default":"guión no rompible"}}},{"category":"Pd","key":"2012","mappings":{"default":{"default":"figura Dash"}}},{"key":"2013","mappings":{"default":{"default":"en raya"}},"category":"Pd"},{"key":"2014","mappings":{"default":{"default":"em raya"}},"category":"Pd"},{"key":"2015","mappings":{"default":{"default":"barra horizontal"}},"category":"Pd"},{"key":"2016","mappings":{"default":{"default":"doble barra vertical"}},"category":"Po"},{"category":"Po","key":"2017","mappings":{"default":{"default":"línea baja doble"}}},{"key":"2018","mappings":{"default":{"default":"comilla izquierda"}},"category":"Pi"},{"key":"2019","mappings":{"default":{"default":"comilla derecha"}},"category":"Pf"},{"key":"201A","mappings":{"default":{"default":"comilla bajo 9"}},"category":"Ps"},{"category":"Pi","key":"201B","mappings":{"default":{"default":"marca de comillas simple con inversión alta-9"}}},{"key":"201C","mappings":{"default":{"default":"doble comilla"}},"category":"Pi"},{"key":"201D","mappings":{"default":{"default":"doble comilla derecha"}},"category":"Pf"},{"key":"201E","mappings":{"default":{"default":"doble comilla bajo 9"}},"category":"Ps"},{"category":"Pi","key":"201F","mappings":{"default":{"default":"doble alto-invertido-9 comillas"}}},{"key":"2020","mappings":{"default":{"default":"daga"}},"category":"Po"},{"key":"2021","mappings":{"default":{"default":"doble daga"}},"category":"Po"},{"key":"2022","mappings":{"default":{"default":"bala"}},"category":"Po"},{"category":"Po","key":"2023","mappings":{"default":{"default":"bala triangular"}}},{"category":"Po","key":"2024","mappings":{"default":{"default":"líder de un punto"}}},{"key":"2025","mappings":{"default":{"default":"dos puntos líder"}},"category":"Po"},{"key":"2026","mappings":{"default":{"default":"puntos suspensivos"}},"category":"Po"},{"category":"Po","key":"2027","mappings":{"default":{"default":"punto de separación"}}},{"key":"2030","mappings":{"default":{"default":"tanto por millar"}},"category":"Po"},{"key":"2031","mappings":{"default":{"default":"tanto por diez mil"}},"category":"Po"},{"key":"2032","mappings":{"default":{"default":"prima"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"segunda"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"tercera"}},"category":"Po"},{"key":"2035","mappings":{"default":{"default":"acento grave"}},"category":"Po"},{"key":"2036","mappings":{"default":{"default":"doble acento grave"}},"category":"Po"},{"category":"Po","key":"2037","mappings":{"default":{"default":"prime Prime invertido"}}},{"category":"Po","key":"2038","mappings":{"default":{"default":"signo de intercalación"}}},{"key":"2039","mappings":{"default":{"default":"comillas izquierda","defaultMP":"abre comillas"}},"category":"Pi"},{"key":"203A","mappings":{"default":{"default":"comillas derecha","defaultMP":"cierra comillas"}},"category":"Pf"},{"category":"Po","key":"203B","mappings":{"default":{"default":"marca de referencia"}}},{"category":"Po","key":"203C","mappings":{"default":{"default":"doble signo de exclamación"}}},{"category":"Po","key":"203D","mappings":{"default":{"default":"interrobang"}}},{"key":"203E","mappings":{"default":{"default":"barra superior"}},"category":"Po"},{"category":"Pc","key":"203F","mappings":{"default":{"default":"undertie"}}},{"key":"2040","mappings":{"default":{"default":"ligadura"}},"category":"Pc"},{"key":"2041","mappings":{"default":{"default":"punto de inserción"}},"category":"Po"},{"category":"Po","key":"2042","mappings":{"default":{"default":"asterismo"}}},{"key":"2043","mappings":{"default":{"default":"guión bala"}},"category":"Po"},{"key":"2044","mappings":{"default":{"default":"barra de fracción"}},"category":"Sm"},{"category":"Po","key":"2047","mappings":{"default":{"default":"doble signo de interrogación"}}},{"category":"Po","key":"2048","mappings":{"default":{"default":"pregunta Signo de exclamación"}}},{"category":"Po","key":"2049","mappings":{"default":{"default":"signo de interrogación de exclamación"}}},{"category":"Po","key":"204B","mappings":{"default":{"default":"signo de Pilcrow invertido"}}},{"category":"Po","key":"204C","mappings":{"default":{"default":"bala negra hacia la izquierda"}}},{"category":"Po","key":"204D","mappings":{"default":{"default":"bala negra hacia la derecha"}}},{"category":"Po","key":"204E","mappings":{"default":{"default":"bajo asterisco"}}},{"key":"204F","mappings":{"default":{"default":"punto y coma invertido"}},"category":"Po"},{"key":"2050","mappings":{"default":{"default":"cierre superior"}},"category":"Po"},{"category":"Po","key":"2051","mappings":{"default":{"default":"dos asteriscos alineados verticalmente"}}},{"category":"Sm","key":"2052","mappings":{"default":{"default":"signo de menos comercial"}}},{"category":"Po","key":"2053","mappings":{"default":{"default":"swung Dash"}}},{"category":"Pc","key":"2054","mappings":{"default":{"default":"ropa interior invertida"}}},{"category":"Po","key":"2055","mappings":{"default":{"default":"signo de puntuación de la flor"}}},{"category":"Po","key":"2056","mappings":{"default":{"default":"puntuación de tres puntos"}}},{"key":"2057","mappings":{"default":{"default":"cuarta"}},"category":"Po"},{"category":"Po","key":"2058","mappings":{"default":{"default":"puntuación de cuatro puntos"}}},{"category":"Po","key":"2059","mappings":{"default":{"default":"puntuación de cinco puntos"}}},{"category":"Po","key":"205A","mappings":{"default":{"default":"puntuación de dos puntos"}}},{"category":"Po","key":"205B","mappings":{"default":{"default":"marca de cuatro puntos"}}},{"category":"Po","key":"205C","mappings":{"default":{"default":"cruz punteada"}}},{"category":"Po","key":"205D","mappings":{"default":{"default":"tricolon"}}},{"category":"Po","key":"205E","mappings":{"default":{"default":"cuatro puntos verticales"}}},{"category":"Sm","key":"207A","mappings":{"default":{"default":"superscript Plus Sign"}}},{"category":"Sm","key":"207B","mappings":{"default":{"default":"superíndice menos"}}},{"category":"Sm","key":"207C","mappings":{"default":{"default":"superscript Equals Sign"}}},{"category":"Ps","key":"207D","mappings":{"default":{"default":"paréntesis izquierdo superíndice"}}},{"category":"Pe","key":"207E","mappings":{"default":{"default":"paréntesis derecho superíndice"}}},{"category":"Sm","key":"208A","mappings":{"default":{"default":"signo de subíndice más"}}},{"category":"Sm","key":"208B","mappings":{"default":{"default":"subíndice menos"}}},{"category":"Sm","key":"208C","mappings":{"default":{"default":"signo de subíndice es igual"}}},{"category":"Ps","key":"208D","mappings":{"default":{"default":"subíndice paréntesis izquierdo"}}},{"category":"Pe","key":"208E","mappings":{"default":{"default":"subíndice de paréntesis derecho"}}},{"category":"So","key":"214A","mappings":{"default":{"default":"línea de propiedad"}}},{"category":"Sm","key":"214B","mappings":{"default":{"default":"ampersand convertido"}}},{"category":"So","key":"214C","mappings":{"default":{"default":"por signo"}}},{"category":"So","key":"214D","mappings":{"default":{"default":"aktieselskab"}}},{"category":"Ll","key":"214E","mappings":{"default":{"default":"torneado pequeño f"}}},{"key":"2200","mappings":{"default":{"default":"para todo"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"complementario"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"existe"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"no existe"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"conjunto vacío"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"incremento"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"no perteneciente a"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"no comprende a"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"fin de demostración"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"producto"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"sumatorio"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"menos más"}},"category":"Sm"},{"key":"2214","mappings":{"default":{"default":"punto más"}},"category":"Sm"},{"key":"2215","mappings":{"default":{"default":"barra de división"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"asterisco"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"composición"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"bala"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"raíz"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"raíz cúbica"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"raíz cuarta"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proporcional a"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"infinito"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"ángulo recto"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"ángulo"}},"category":"Sm"},{"key":"2221","mappings":{"default":{"default":"ángulo medido"}},"category":"Sm"},{"key":"2222","mappings":{"default":{"default":"ángulo esférico"}},"category":"Sm"},{"key":"2223","mappings":{"default":{"default":"divide a"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"no divide a"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"paralela a"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"no paralela a"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"integral"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"integral doble"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"integral triple"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"integral de contorno"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"integral de superficie"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"integral de volumen"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"integral de contorno en sentido antihorario"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"por lo tanto"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"porque"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"razón"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"proporción"}},"category":"Sm"},{"key":"2238","mappings":{"default":{"default":"punto menos"}},"category":"Sm"},{"key":"2239","mappings":{"default":{"default":"exceso"}},"category":"Sm"},{"key":"223A","mappings":{"default":{"default":"proporción geométrica"}},"category":"Sm"},{"key":"223B","mappings":{"default":{"default":"homotecia"}},"category":"Sm"},{"key":"223C","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"223D","mappings":{"default":{"default":"tilde invertido"}},"category":"Sm"},{"key":"223E","mappings":{"default":{"default":"s horizontal invertida"}},"category":"Sm"},{"key":"223F","mappings":{"default":{"default":"sinusoide"}},"category":"Sm"},{"key":"2240","mappings":{"default":{"default":"producto de guirnalda"}},"category":"Sm"},{"key":"2241","mappings":{"default":{"default":"no tilde"}},"category":"Sm"},{"key":"2242","mappings":{"default":{"default":"menos tilde"}},"category":"Sm"},{"key":"2243","mappings":{"default":{"default":"asintóticamente igual a"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"no asintóticamente igual a"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"aproximadamente igual a"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"aproximado pero no igual a"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"no aproximado a"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"aproximado","defaultMP":"casi igual a"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"no es casi igual a"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"igual o casi igual a"}},"category":"Sm"},{"key":"224B","mappings":{"default":{"default":"triple tilde"}},"category":"Sm"},{"key":"224C","mappings":{"default":{"default":"todo igual a"}},"category":"Sm"},{"key":"224D","mappings":{"default":{"default":"equivalente a"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"geométricamente equivalente a"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"se acerca al límite"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"geométricamente igual a"}},"category":"Sm"},{"key":"2252","mappings":{"default":{"default":"aproximadamente igual a o imagen de"}},"category":"Sm"},{"key":"2253","mappings":{"default":{"default":"imagen de o aproximadamente igual a"}},"category":"Sm"},{"key":"2254","mappings":{"default":{"default":"dos puntos igual"}},"category":"Sm"},{"key":"2255","mappings":{"default":{"default":"igual dos puntos"}},"category":"Sm"},{"key":"2256","mappings":{"default":{"default":"igual incluyendo anillo"}},"category":"Sm"},{"key":"2257","mappings":{"default":{"default":"igual anillo a"}},"category":"Sm"},{"key":"2258","mappings":{"default":{"default":"corresponde a"}},"category":"Sm"},{"key":"2259","mappings":{"default":{"default":"estima a"}},"category":"Sm"},{"key":"225A","mappings":{"default":{"default":"equiangular con"}},"category":"Sm"},{"key":"225B","mappings":{"default":{"default":"igual con estrella"}},"category":"Sm"},{"key":"225C","mappings":{"default":{"default":"igual con delta"}},"category":"Sm"},{"key":"225D","mappings":{"default":{"default":"igual por definición a"}},"category":"Sm"},{"key":"225E","mappings":{"default":{"default":"medido por"}},"category":"Sm"},{"key":"225F","mappings":{"default":{"default":"igual con interrogante"}},"category":"Sm"},{"key":"2260","mappings":{"default":{"default":"no es igual a","defaultMP":"distinto de"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"idéntico a"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"no es idéntico a"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"estrictamente equivalente a"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"entre"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"no equivalente a"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"no menor que"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"no mayor que"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"no menor ni igual a"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"no mayor ni igual a"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"menor o equivalente a"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"mayor o equivalente a"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"no menor ni equivalente a"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"no mayor ni equivalente a"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"menor o mayor que"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"no menor ni mayor que"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"no mayor ni menor que"}},"category":"Sm"},{"key":"227A","mappings":{"default":{"default":"precede a"}},"category":"Sm"},{"key":"227B","mappings":{"default":{"default":"sigue a"}},"category":"Sm"},{"key":"227C","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"227D","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"227E","mappings":{"default":{"default":"precede o es equivalente a"}},"category":"Sm"},{"key":"227F","mappings":{"default":{"default":"sigue o es equivalente a"}},"category":"Sm"},{"key":"2280","mappings":{"default":{"default":"no precede a"}},"category":"Sm"},{"key":"2281","mappings":{"default":{"default":"no sigue a"}},"category":"Sm"},{"key":"2282","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"2283","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"2284","mappings":{"default":{"default":"no incluido en"}},"category":"Sm"},{"key":"2285","mappings":{"default":{"default":"no contiene a"}},"category":"Sm"},{"key":"2286","mappings":{"default":{"default":"incluido o igual a"}},"category":"Sm"},{"key":"2287","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"2288","mappings":{"default":{"default":"no incluido ni igual a"}},"category":"Sm"},{"key":"2289","mappings":{"default":{"default":"no contiene ni es igual a"}},"category":"Sm"},{"key":"228A","mappings":{"default":{"default":"incluido estrictamente en"}},"category":"Sm"},{"key":"228B","mappings":{"default":{"default":"contiene estrictamente a"}},"category":"Sm"},{"key":"228C","mappings":{"default":{"default":"familia de conjuntos"}},"category":"Sm"},{"key":"228D","mappings":{"default":{"default":"producto de familia de conjuntos"}},"category":"Sm"},{"key":"228E","mappings":{"default":{"default":"unión de familia de conjuntos"}},"category":"Sm"},{"key":"228F","mappings":{"default":{"default":"imagen cuadrada de"}},"category":"Sm"},{"key":"2290","mappings":{"default":{"default":"original cuadrado de"}},"category":"Sm"},{"key":"2291","mappings":{"default":{"default":"imagen cuadrada de o igual a"}},"category":"Sm"},{"key":"2292","mappings":{"default":{"default":"original cuadrado de o igual a"}},"category":"Sm"},{"key":"2293","mappings":{"default":{"default":"intersección cuadrada"}},"category":"Sm"},{"key":"2294","mappings":{"default":{"default":"unión cuadrada"}},"category":"Sm"},{"key":"2295","mappings":{"default":{"default":"más en círculo"}},"category":"Sm"},{"key":"2296","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"2297","mappings":{"default":{"default":"por en círculo"}},"category":"Sm"},{"key":"2298","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"2299","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"229A","mappings":{"default":{"default":"anillo en círculo"}},"category":"Sm"},{"key":"229B","mappings":{"default":{"default":"asterisco en círculo"}},"category":"Sm"},{"key":"229C","mappings":{"default":{"default":"igual en círculo"}},"category":"Sm"},{"key":"229D","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"229E","mappings":{"default":{"default":"más en cuadrado"}},"category":"Sm"},{"key":"229F","mappings":{"default":{"default":"menos en cuadrado"}},"category":"Sm"},{"key":"22A0","mappings":{"default":{"default":"veces en cuadrado"}},"category":"Sm"},{"key":"22A1","mappings":{"default":{"default":"punto en cuadrado"}},"category":"Sm"},{"key":"22A2","mappings":{"default":{"default":"t horizontal hacia la izquierda"}},"category":"Sm"},{"key":"22A3","mappings":{"default":{"default":"t horizontal hacia la derecha"}},"category":"Sm"},{"key":"22A4","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"22A5","mappings":{"default":{"default":"perpendicular invertida"}},"category":"Sm"},{"key":"22A6","mappings":{"default":{"default":"afirmación"}},"category":"Sm"},{"key":"22A7","mappings":{"default":{"default":"modela"}},"category":"Sm"},{"key":"22A8","mappings":{"default":{"default":"verdadero"}},"category":"Sm"},{"key":"22A9","mappings":{"default":{"default":"obliga"}},"category":"Sm"},{"key":"22AA","mappings":{"default":{"default":"triple barra vertical torniquete derecho"}},"category":"Sm"},{"key":"22AB","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho"}},"category":"Sm"},{"key":"22AC","mappings":{"default":{"default":"no prueba"}},"category":"Sm"},{"key":"22AD","mappings":{"default":{"default":"falso"}},"category":"Sm"},{"key":"22AE","mappings":{"default":{"default":"no obliga"}},"category":"Sm"},{"key":"22AF","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho negada"}},"category":"Sm"},{"key":"22B0","mappings":{"default":{"default":"precede respecto de"}},"category":"Sm"},{"key":"22B1","mappings":{"default":{"default":"sigue respecto de"}},"category":"Sm"},{"key":"22B2","mappings":{"default":{"default":"subgrupo normal de"}},"category":"Sm"},{"key":"22B3","mappings":{"default":{"default":"contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22B4","mappings":{"default":{"default":"subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B5","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B6","mappings":{"default":{"default":"original de"}},"category":"Sm"},{"key":"22B7","mappings":{"default":{"default":"imagen de"}},"category":"Sm"},{"key":"22B8","mappings":{"default":{"default":"multifunción"}},"category":"Sm"},{"key":"22B9","mappings":{"default":{"default":"matriz hermitiana conjugada"}},"category":"Sm"},{"key":"22BA","mappings":{"default":{"default":"interpola"}},"category":"Sm"},{"key":"22BB","mappings":{"default":{"default":"o excluyente"}},"category":"Sm"},{"key":"22BC","mappings":{"default":{"default":"no y"}},"category":"Sm"},{"key":"22BD","mappings":{"default":{"default":"no o"}},"category":"Sm"},{"key":"22BF","mappings":{"default":{"default":"triángulo rectángulo"}},"category":"Sm"},{"key":"22C0","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"22C1","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"22C2","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"22C3","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"22C4","mappings":{"default":{"default":"operador diamante"}},"category":"Sm"},{"key":"22C5","mappings":{"default":{"default":"punto"}},"category":"Sm"},{"key":"22C6","mappings":{"default":{"default":"estrella"}},"category":"Sm"},{"key":"22C7","mappings":{"default":{"default":"dividido por"}},"category":"Sm"},{"key":"22C8","mappings":{"default":{"default":"moño"}},"category":"Sm"},{"key":"22C9","mappings":{"default":{"default":"factor normal izquierdo producto semidirecto"}},"category":"Sm"},{"key":"22CA","mappings":{"default":{"default":"factor normal derecho producto semidirecto"}},"category":"Sm"},{"key":"22CB","mappings":{"default":{"default":"producto semidirecto izquierdo"}},"category":"Sm"},{"key":"22CC","mappings":{"default":{"default":"producto semidirecto derecho"}},"category":"Sm"},{"key":"22CD","mappings":{"default":{"default":"tilde invertida igual a"}},"category":"Sm"},{"key":"22CE","mappings":{"default":{"default":"o rizada"}},"category":"Sm"},{"key":"22CF","mappings":{"default":{"default":"y rizada"}},"category":"Sm"},{"key":"22D0","mappings":{"default":{"default":"doble incluido"}},"category":"Sm"},{"key":"22D1","mappings":{"default":{"default":"doble contiene"}},"category":"Sm"},{"key":"22D2","mappings":{"default":{"default":"doble intersección"}},"category":"Sm"},{"key":"22D3","mappings":{"default":{"default":"doble unión"}},"category":"Sm"},{"key":"22D4","mappings":{"default":{"default":"bieldo"}},"category":"Sm"},{"key":"22D5","mappings":{"default":{"default":"paralela o igual a"}},"category":"Sm"},{"key":"22D6","mappings":{"default":{"default":"menor que con punto"}},"category":"Sm"},{"key":"22D7","mappings":{"default":{"default":"mayor que con punto"}},"category":"Sm"},{"key":"22D8","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"22D9","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"22DA","mappings":{"default":{"default":"menor igual o mayor que"}},"category":"Sm"},{"key":"22DB","mappings":{"default":{"default":"mayor igual o menor que"}},"category":"Sm"},{"key":"22DC","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"22DD","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"22DE","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"22DF","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"22E0","mappings":{"default":{"default":"no precede ni es igual a"}},"category":"Sm"},{"key":"22E1","mappings":{"default":{"default":"no sigue ni es igual a"}},"category":"Sm"},{"key":"22E2","mappings":{"default":{"default":"no es imagen cuadrada ni igual a"}},"category":"Sm"},{"key":"22E3","mappings":{"default":{"default":"no es original cuadrada ni igual a"}},"category":"Sm"},{"key":"22E4","mappings":{"default":{"default":"imagen cuadrada estricta"}},"category":"Sm"},{"key":"22E5","mappings":{"default":{"default":"original cuadrada estricta"}},"category":"Sm"},{"key":"22E6","mappings":{"default":{"default":"menor que no equivalente a"}},"category":"Sm"},{"key":"22E7","mappings":{"default":{"default":"mayor que no equivalente a"}},"category":"Sm"},{"key":"22E8","mappings":{"default":{"default":"precede no equivalente a"}},"category":"Sm"},{"key":"22E9","mappings":{"default":{"default":"sigue no equivalente a"}},"category":"Sm"},{"key":"22EA","mappings":{"default":{"default":"no subgrupo normal de"}},"category":"Sm"},{"key":"22EB","mappings":{"default":{"default":"no contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22EC","mappings":{"default":{"default":"no es subgrupo normal ni igual a"}},"category":"Sm"},{"key":"22ED","mappings":{"default":{"default":"no contiene como subgrupo normal ni es igual a"}},"category":"Sm"},{"key":"22EE","mappings":{"default":{"default":"puntos suspensivos verticales"}},"category":"Sm"},{"key":"22EF","mappings":{"default":{"default":"puntos suspensivos altos"}},"category":"Sm"},{"key":"22F0","mappings":{"default":{"default":"puntos suspensivos diagonales subiendo"}},"category":"Sm"},{"key":"22F1","mappings":{"default":{"default":"puntos suspensivos diagonales bajando"}},"category":"Sm"},{"key":"22F2","mappings":{"default":{"default":"pertenece con trazo horizontal"}},"category":"Sm"},{"key":"22F3","mappings":{"default":{"default":"pertenece con barra vertical al fin de raya horizontal"}},"category":"Sm"},{"key":"22F4","mappings":{"default":{"default":"pertenece en pequeño con trazo vertical"}},"category":"Sm"},{"key":"22F5","mappings":{"default":{"default":"pertenece con punto arriba"}},"category":"Sm"},{"key":"22F6","mappings":{"default":{"default":"pertenece con barra arriba"}},"category":"Sm"},{"key":"22F7","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F8","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F9","mappings":{"default":{"default":"pertenece con dos trazos horizontales"}},"category":"Sm"},{"key":"22FA","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"22FB","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FC","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FD","mappings":{"default":{"default":"contiene con barra"}},"category":"Sm"},{"key":"22FE","mappings":{"default":{"default":"perteneciente con barra"}},"category":"Sm"},{"key":"22FF","mappings":{"default":{"default":"z anotación asociación de bolsa"}},"category":"Sm"},{"key":"2300","mappings":{"default":{"default":"diámetro"}},"category":"So"},{"key":"2302","mappings":{"default":{"default":"casa"}},"category":"So"},{"key":"2305","mappings":{"default":{"default":"en proyectividad con"}},"category":"So"},{"key":"2306","mappings":{"default":{"default":"en perspectividad con"}},"category":"So"},{"category":"So","key":"2307","mappings":{"default":{"default":"línea ondulada"}}},{"key":"2310","mappings":{"default":{"default":"no invertido"}},"category":"So"},{"category":"So","key":"2311","mappings":{"default":{"default":"pastillas cuadradas"}}},{"key":"2312","mappings":{"default":{"default":"arco"}},"category":"So"},{"key":"2313","mappings":{"default":{"default":"segmento"}},"category":"So"},{"category":"So","key":"2314","mappings":{"default":{"default":"sector"}}},{"category":"So","key":"2795","mappings":{"default":{"default":"signo más pesado"}}},{"category":"So","key":"2796","mappings":{"default":{"default":"signo menos pesado"}}},{"category":"So","key":"2797","mappings":{"default":{"default":"signo de la división pesada"}}},{"category":"So","key":"27B0","mappings":{"default":{"default":"bucle rizado"}}},{"category":"So","key":"27BF","mappings":{"default":{"default":"doble bucle rizado"}}},{"key":"27C1","mappings":{"default":{"default":"triángulo encerrando triángulo"}},"category":"Sm"},{"key":"27C2","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27C3","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"27C4","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"27C7","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"27C8","mappings":{"default":{"default":"atrás tajo antes de subconjunto"}},"category":"Sm"},{"key":"27C9","mappings":{"default":{"default":"sobreconjunto antes de tajo"}},"category":"Sm"},{"key":"27CA","mappings":{"default":{"default":"barra vertical con golpe horizontal"}},"category":"Sm"},{"category":"Sm","key":"27CB","mappings":{"default":{"default":"diagonal matemático de levantamiento"}}},{"key":"27CC","mappings":{"default":{"default":"división larga"}},"category":"Sm"},{"category":"Sm","key":"27CD","mappings":{"default":{"default":"diagonal descendente matemática"}}},{"category":"Sm","key":"27CE","mappings":{"default":{"default":"cuadrado Lógico Y"}}},{"category":"Sm","key":"27CF","mappings":{"default":{"default":"cuadrado Lógico O"}}},{"category":"Sm","key":"27D0","mappings":{"default":{"default":"diamante blanco con punto centrado"}}},{"key":"27D1","mappings":{"default":{"default":"y con punto interior"}},"category":"Sm"},{"key":"27D2","mappings":{"default":{"default":"elemento de apertura hacia arriba"}},"category":"Sm"},{"key":"27D3","mappings":{"default":{"default":"ángulo inferior derecho con punto"}},"category":"Sm"},{"key":"27D4","mappings":{"default":{"default":"ángulo inferior izquierdo con punto"}},"category":"Sm"},{"key":"27D5","mappings":{"default":{"default":"izquierdo exterior une"}},"category":"Sm"},{"key":"27D6","mappings":{"default":{"default":"derecho exterior une"}},"category":"Sm"},{"key":"27D7","mappings":{"default":{"default":"lleno exterior une"}},"category":"Sm"},{"key":"27D8","mappings":{"default":{"default":"perpendicular inversa"}},"category":"Sm"},{"key":"27D9","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27DA","mappings":{"default":{"default":"izquierdo y derecho doble torniquete"}},"category":"Sm"},{"key":"27DB","mappings":{"default":{"default":"doble T horizontal"}},"category":"Sm"},{"key":"27DC","mappings":{"default":{"default":"multifunción por la izquierda"}},"category":"Sm"},{"key":"27DD","mappings":{"default":{"default":"t horizontal derecha larga"}},"category":"Sm"},{"key":"27DE","mappings":{"default":{"default":"t horizontal izquierda larga"}},"category":"Sm"},{"key":"27DF","mappings":{"default":{"default":"perpendicular inversa con círculo arriba"}},"category":"Sm"},{"key":"27E0","mappings":{"default":{"default":"pastilla dividida por regla horizontal"}},"category":"Sm"},{"key":"27E1","mappings":{"default":{"default":"diamante cóncavo vacío"}},"category":"Sm"},{"key":"27E2","mappings":{"default":{"default":"diamante cóncavo con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E3","mappings":{"default":{"default":"diamante cóncavo con tictac hacia derecha"}},"category":"Sm"},{"key":"27E4","mappings":{"default":{"default":"cuadrado con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E5","mappings":{"default":{"default":"cuadrado con tictac hacia derecha"}},"category":"Sm"},{"category":"Sm","key":"292B","mappings":{"default":{"default":"cruce en diagonal Cruce en diagonal Caída en diagonal"}}},{"category":"Sm","key":"292C","mappings":{"default":{"default":"diagonal descendente Cruce diagonal ascendente"}}},{"category":"Sm","key":"2980","mappings":{"default":{"default":"delimitador de barra vertical triple"}}},{"category":"Sm","key":"2981","mappings":{"default":{"default":"punto de notación Z"}}},{"category":"Sm","key":"2982","mappings":{"default":{"default":"tipo de notación Z Colon"}}},{"category":"Sm","key":"2999","mappings":{"default":{"default":"valla punteada"}}},{"key":"299A","mappings":{"default":{"default":"zigzag en vertical"}},"category":"Sm"},{"key":"29B0","mappings":{"default":{"default":"conjunto vacío invertido"}},"category":"Sm"},{"key":"29B1","mappings":{"default":{"default":"conjunto vacío con barra"}},"category":"Sm"},{"key":"29B2","mappings":{"default":{"default":"conjunto vacío con círculo"}},"category":"Sm"},{"key":"29B5","mappings":{"default":{"default":"círculo con barra"}},"category":"Sm"},{"key":"29B6","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"29B7","mappings":{"default":{"default":"paralelas en círculo"}},"category":"Sm"},{"category":"Sm","key":"29B8","mappings":{"default":{"default":"círculo inverso solidus"}}},{"key":"29B9","mappings":{"default":{"default":"perpendicular en círculo"}},"category":"Sm"},{"category":"Sm","key":"29BA","mappings":{"default":{"default":"círculo dividido por barra horizontal y mitad superior dividido por barra vertical"}}},{"key":"29BB","mappings":{"default":{"default":"x superimpresa en círculo"}},"category":"Sm"},{"key":"29BC","mappings":{"default":{"default":"circled anticlockwise rotated division"}},"category":"Sm"},{"key":"29BE","mappings":{"default":{"default":"bullet vacía en círculo"}},"category":"Sm"},{"key":"29BF","mappings":{"default":{"default":"bullet en círculo"}},"category":"Sm"},{"key":"29C0","mappings":{"default":{"default":"menor que en círculo"}},"category":"Sm"},{"key":"29C1","mappings":{"default":{"default":"mayor que en círculo"}},"category":"Sm"},{"key":"29C2","mappings":{"default":{"default":"círculo con círculo a la derecha"}},"category":"Sm"},{"key":"29C3","mappings":{"default":{"default":"circle with two horizontal strokes to the right"}},"category":"Sm"},{"key":"29C4","mappings":{"default":{"default":"cuadrado con diagonal ascendente"}},"category":"Sm"},{"key":"29C5","mappings":{"default":{"default":"cuadrado con diagonal descendente"}},"category":"Sm"},{"category":"Sm","key":"29C6","mappings":{"default":{"default":"asterisco cuadrado"}}},{"category":"Sm","key":"29C7","mappings":{"default":{"default":"pequeño círculo cuadrado"}}},{"category":"Sm","key":"29C8","mappings":{"default":{"default":"cuadrado cuadrado"}}},{"key":"29C9","mappings":{"default":{"default":"dos cuadrados unidos"}},"category":"Sm"},{"category":"Sm","key":"29CA","mappings":{"default":{"default":"triángulo con punto arriba"}}},{"category":"Sm","key":"29CB","mappings":{"default":{"default":"triángulo con barra inferior"}}},{"category":"Sm","key":"29CC","mappings":{"default":{"default":"s en triangulo"}}},{"key":"29CD","mappings":{"default":{"default":"triangle with serifs at bottom"}},"category":"Sm"},{"key":"29CE","mappings":{"default":{"default":"triángulo hacia la derecha sobre triángulo hacia la izquierda"}},"category":"Sm"},{"key":"29CF","mappings":{"default":{"default":"subgrupo normal o igual a"}},"category":"Sm"},{"key":"29D0","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"category":"Sm","key":"29D1","mappings":{"default":{"default":"pajarita Con Mitad Izquierda Negra"}}},{"category":"Sm","key":"29D2","mappings":{"default":{"default":"pajarita Con Mitad Derecha Negra"}}},{"category":"Sm","key":"29D3","mappings":{"default":{"default":"pajarita Negra"}}},{"category":"Sm","key":"29D4","mappings":{"default":{"default":"tiempos con Mitad Izquierda Negra"}}},{"category":"Sm","key":"29D5","mappings":{"default":{"default":"tiempos con la mitad derecha negra"}}},{"category":"Sm","key":"29D6","mappings":{"default":{"default":"reloj de arena blanco"}}},{"category":"Sm","key":"29D7","mappings":{"default":{"default":"reloj de arena negro"}}},{"key":"29DC","mappings":{"default":{"default":"infinito incompleto"}},"category":"Sm"},{"category":"Sm","key":"29DD","mappings":{"default":{"default":"empate sobre el infinito"}}},{"key":"29DE","mappings":{"default":{"default":"no infinito"}},"category":"Sm"},{"category":"Sm","key":"29DF","mappings":{"default":{"default":"multimapa de doble extremo"}}},{"category":"Sm","key":"29E0","mappings":{"default":{"default":"cuadrado con contorno contorneado"}}},{"category":"Sm","key":"29E1","mappings":{"default":{"default":"aumenta como"}}},{"category":"Sm","key":"29E2","mappings":{"default":{"default":"shuffle Product"}}},{"key":"29E3","mappings":{"default":{"default":"igual tachado doble "}},"category":"Sm"},{"key":"29E4","mappings":{"default":{"default":"igual con tilde, con doble tachado"}},"category":"Sm"},{"key":"29E5","mappings":{"default":{"default":"idéntico a con doble tachado"}},"category":"Sm"},{"category":"Sm","key":"29E6","mappings":{"default":{"default":"gleich Stark"}}},{"category":"Sm","key":"29E7","mappings":{"default":{"default":"termodinamica"}}},{"category":"Sm","key":"29E8","mappings":{"default":{"default":"triángulo que apunta hacia abajo con la mitad izquierda negra"}}},{"category":"Sm","key":"29E9","mappings":{"default":{"default":"triángulo que apunta hacia abajo con la mitad derecha negra"}}},{"key":"29EB","mappings":{"default":{"default":"rombo relleno"}},"category":"Sm"},{"category":"Sm","key":"29EE","mappings":{"default":{"default":"plaza blanca con error"}}},{"category":"Sm","key":"29EF","mappings":{"default":{"default":"error en la Plaza Negra"}}},{"category":"Sm","key":"29F0","mappings":{"default":{"default":"error White Barred Diamond"}}},{"category":"Sm","key":"29F1","mappings":{"default":{"default":"error Black Barred Diamond"}}},{"category":"Sm","key":"29F2","mappings":{"default":{"default":"círculo blanco con error"}}},{"category":"Sm","key":"29F3","mappings":{"default":{"default":"círculo negro con barras de error"}}},{"key":"29F4","mappings":{"default":{"default":"rule delayed"}},"category":"Sm"},{"category":"Sm","key":"29F5","mappings":{"default":{"default":"operador de Solidus Inverso"}}},{"key":"29F6","mappings":{"default":{"default":"solidus with overbar"}},"category":"Sm"},{"category":"Sm","key":"29F7","mappings":{"default":{"default":"solidus inverso con trazo horizontal"}}},{"category":"Sm","key":"29F8","mappings":{"default":{"default":"sólido grande"}}},{"category":"Sm","key":"29F9","mappings":{"default":{"default":"sólido inverso grande"}}},{"category":"Sm","key":"29FA","mappings":{"default":{"default":"doble Plus"}}},{"category":"Sm","key":"29FB","mappings":{"default":{"default":"triple Plus"}}},{"category":"Sm","key":"29FE","mappings":{"default":{"default":"minúsculo"}}},{"category":"Sm","key":"29FF","mappings":{"default":{"default":"miny"}}},{"category":"Sm","key":"2A00","mappings":{"default":{"default":"operador de puntos circulares N-Ary"}}},{"category":"Sm","key":"2A01","mappings":{"default":{"default":"operador N-Ary Circled Plus"}}},{"category":"Sm","key":"2A02","mappings":{"default":{"default":"operador de los tiempos en círculo de N-Ary"}}},{"category":"Sm","key":"2A03","mappings":{"default":{"default":"operador de la unión N-Ary con punto"}}},{"category":"Sm","key":"2A04","mappings":{"default":{"default":"n-Ary Union Operator con Plus"}}},{"category":"Sm","key":"2A05","mappings":{"default":{"default":"operador de intersecciones cuadradas N-Ary"}}},{"category":"Sm","key":"2A06","mappings":{"default":{"default":"n-Ary Square Union Operator"}}},{"category":"Sm","key":"2A07","mappings":{"default":{"default":"dos lógico y operador"}}},{"category":"Sm","key":"2A08","mappings":{"default":{"default":"dos lógico u operador"}}},{"category":"Sm","key":"2A09","mappings":{"default":{"default":"operador de N-Ary Times"}}},{"category":"Sm","key":"2A0A","mappings":{"default":{"default":"modulo dos sumas"}}},{"category":"Sm","key":"2A0B","mappings":{"default":{"default":"suma con Integral"}}},{"key":"2A0C","mappings":{"default":{"default":"operador integral cuádruple"}},"category":"Sm"},{"key":"2A0D","mappings":{"default":{"default":"finite part integral"}},"category":"Sm"},{"category":"Sm","key":"2A0E","mappings":{"default":{"default":"integral con Doble Trazo"}}},{"category":"Sm","key":"2A0F","mappings":{"default":{"default":"promedio Integral con Slash"}}},{"key":"2A10","mappings":{"default":{"default":"circulation function"}},"category":"Sm"},{"key":"2A11","mappings":{"default":{"default":"integral en sentido antihorario"}},"category":"Sm"},{"key":"2A12","mappings":{"default":{"default":"integral lineal para rectángulo en polo"}},"category":"Sm"},{"key":"2A13","mappings":{"default":{"default":"integral lineal para semicírculo en polo"}},"category":"Sm"},{"key":"2A14","mappings":{"default":{"default":"integral lineal excluyendo el polo"}},"category":"Sm"},{"key":"2A15","mappings":{"default":{"default":"integral en torno de un punto operador"}},"category":"Sm"},{"key":"2A16","mappings":{"default":{"default":"operador integral para cuaterniones"}},"category":"Sm"},{"category":"Sm","key":"2A18","mappings":{"default":{"default":"integral con Times Sign"}}},{"category":"Sm","key":"2A19","mappings":{"default":{"default":"integral con Intersección"}}},{"category":"Sm","key":"2A1A","mappings":{"default":{"default":"integral con union"}}},{"category":"Sm","key":"2A1B","mappings":{"default":{"default":"integral con Overbar"}}},{"category":"Sm","key":"2A1C","mappings":{"default":{"default":"integral con barra inferior"}}},{"category":"Sm","key":"2A1D","mappings":{"default":{"default":"unirse"}}},{"category":"Sm","key":"2A1E","mappings":{"default":{"default":"operador de triángulo izquierdo grande"}}},{"category":"Sm","key":"2A1F","mappings":{"default":{"default":"composición de esquemas de notación Z"}}},{"category":"Sm","key":"2A20","mappings":{"default":{"default":"esquema de notación Z"}}},{"category":"Sm","key":"2A21","mappings":{"default":{"default":"proyección del esquema de notación Z"}}},{"key":"2A22","mappings":{"default":{"default":"más con círculo"}},"category":"Sm"},{"key":"2A23","mappings":{"default":{"default":"más con ángulo"}},"category":"Sm"},{"key":"2A24","mappings":{"default":{"default":"tilde con más suscrito"}},"category":"Sm"},{"key":"2A25","mappings":{"default":{"default":"más con punto inferior"}},"category":"Sm"},{"key":"2A26","mappings":{"default":{"default":"tilde con más"}},"category":"Sm"},{"key":"2A27","mappings":{"default":{"default":"más con 2 suscrito"}},"category":"Sm"},{"category":"Sm","key":"2A28","mappings":{"default":{"default":"signo más con triángulo negro"}}},{"key":"2A29","mappings":{"default":{"default":"menos con coma"}},"category":"Sm"},{"key":"2A2A","mappings":{"default":{"default":"menos con punto inferior"}},"category":"Sm"},{"category":"Sm","key":"2A2B","mappings":{"default":{"default":"signo menos con puntos que caen"}}},{"category":"Sm","key":"2A2C","mappings":{"default":{"default":"signo menos con puntos crecientes"}}},{"key":"2A2D","mappings":{"default":{"default":"más en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A2E","mappings":{"default":{"default":"más en semicírculo derecho"}},"category":"Sm"},{"key":"2A2F","mappings":{"default":{"default":"producto vectorial"}},"category":"Sm"},{"key":"2A30","mappings":{"default":{"default":"por con punto"}},"category":"Sm"},{"key":"2A31","mappings":{"default":{"default":"por con subrayado"}},"category":"Sm"},{"category":"Sm","key":"2A32","mappings":{"default":{"default":"producto semidirecto con fondo cerrado"}}},{"key":"2A33","mappings":{"default":{"default":"smash product"}},"category":"Sm"},{"key":"2A34","mappings":{"default":{"default":"por en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A35","mappings":{"default":{"default":"por en semicírculo derecho"}},"category":"Sm"},{"key":"2A36","mappings":{"default":{"default":"por en círculo con ángulo"}},"category":"Sm"},{"key":"2A37","mappings":{"default":{"default":"por en anillo"}},"category":"Sm"},{"key":"2A38","mappings":{"default":{"default":"división en círculo"}},"category":"Sm"},{"key":"2A39","mappings":{"default":{"default":"más en triángulo"}},"category":"Sm"},{"key":"2A3A","mappings":{"default":{"default":"menos en triángulo"}},"category":"Sm"},{"key":"2A3B","mappings":{"default":{"default":"por en triángulo"}},"category":"Sm"},{"key":"2A3C","mappings":{"default":{"default":"producto interior"}},"category":"Sm"},{"category":"Sm","key":"2A3D","mappings":{"default":{"default":"producto interior derecho"}}},{"category":"Sm","key":"2A3E","mappings":{"default":{"default":"notación Z Composición Relacional"}}},{"key":"2A3F","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2A40","mappings":{"default":{"default":"intersección con punto"}},"category":"Sm"},{"category":"Sm","key":"2A41","mappings":{"default":{"default":"unión con signo de menos"}}},{"key":"2A42","mappings":{"default":{"default":"unión con barra"}},"category":"Sm"},{"key":"2A43","mappings":{"default":{"default":"intersección con barra"}},"category":"Sm"},{"key":"2A44","mappings":{"default":{"default":"intersección con and"}},"category":"Sm"},{"key":"2A45","mappings":{"default":{"default":"unión con or"}},"category":"Sm"},{"key":"2A46","mappings":{"default":{"default":"unión sobre intersección"}},"category":"Sm"},{"key":"2A47","mappings":{"default":{"default":"intersección sobre unión"}},"category":"Sm"},{"key":"2A48","mappings":{"default":{"default":"unión sobre barra, sobre intersección"}},"category":"Sm"},{"key":"2A49","mappings":{"default":{"default":"intersección sobre barra, sobre unión "}},"category":"Sm"},{"key":"2A4A","mappings":{"default":{"default":"unión y unión"}},"category":"Sm"},{"key":"2A4B","mappings":{"default":{"default":"intersección e intersección"}},"category":"Sm"},{"key":"2A4C","mappings":{"default":{"default":"unión cerrada"}},"category":"Sm"},{"key":"2A4D","mappings":{"default":{"default":"intersección cerrada"}},"category":"Sm"},{"category":"Sm","key":"2A4E","mappings":{"default":{"default":"intersección cuadrada doble"}}},{"category":"Sm","key":"2A4F","mappings":{"default":{"default":"unión cuadrada doble"}}},{"key":"2A50","mappings":{"default":{"default":"unión cerrada con por"}},"category":"Sm"},{"category":"Sm","key":"2A51","mappings":{"default":{"default":"lógico y con punto arriba."}}},{"category":"Sm","key":"2A52","mappings":{"default":{"default":"lógico o con punto arriba"}}},{"key":"2A53","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2A55","mappings":{"default":{"default":"two intersecting logical and"}},"category":"Sm"},{"key":"2A56","mappings":{"default":{"default":"two intersecting logical or"}},"category":"Sm"},{"key":"2A57","mappings":{"default":{"default":"sloping large or"}},"category":"Sm"},{"key":"2A58","mappings":{"default":{"default":"sloping large and"}},"category":"Sm"},{"category":"Sm","key":"2A59","mappings":{"default":{"default":"lógica o superpuesta, lógica y"}}},{"key":"2A5A","mappings":{"default":{"default":"logical and with middle stem"}},"category":"Sm"},{"key":"2A5B","mappings":{"default":{"default":"logical or with middle stem"}},"category":"Sm"},{"key":"2A5C","mappings":{"default":{"default":"logical and with horizontal dash"}},"category":"Sm"},{"key":"2A5D","mappings":{"default":{"default":"logical or with horizontal dash"}},"category":"Sm"},{"category":"Sm","key":"2A5E","mappings":{"default":{"default":"lógica y con doble Overbar"}}},{"key":"2A5F","mappings":{"default":{"default":"logical and with underbar"}},"category":"Sm"},{"category":"Sm","key":"2A60","mappings":{"default":{"default":"lógica y con doble barra inferior."}}},{"category":"Sm","key":"2A61","mappings":{"default":{"default":"pequeño Vee con Underbar"}}},{"category":"Sm","key":"2A62","mappings":{"default":{"default":"lógica o con doble barra."}}},{"category":"Sm","key":"2A63","mappings":{"default":{"default":"lógica o con doble barra inferior"}}},{"category":"Sm","key":"2A64","mappings":{"default":{"default":"notación Z Dominio Antirestricción"}}},{"category":"Sm","key":"2A65","mappings":{"default":{"default":"rango de notación Z Antirestricción"}}},{"key":"2A66","mappings":{"default":{"default":"igual con punto suscrito"}},"category":"Sm"},{"category":"Sm","key":"2A67","mappings":{"default":{"default":"idéntico con punto arriba"}}},{"category":"Sm","key":"2A68","mappings":{"default":{"default":"triple barra horizontal con doble movimiento vertical"}}},{"category":"Sm","key":"2A69","mappings":{"default":{"default":"triple barra horizontal con triple movimiento vertical"}}},{"key":"2A6A","mappings":{"default":{"default":"tilde con punto"}},"category":"Sm"},{"category":"Sm","key":"2A6B","mappings":{"default":{"default":"operador de tilde con puntos crecientes"}}},{"category":"Sm","key":"2A6C","mappings":{"default":{"default":"similares menos similares"}}},{"key":"2A6D","mappings":{"default":{"default":"congruente con punto"}},"category":"Sm"},{"category":"Sm","key":"2A6E","mappings":{"default":{"default":"igual a Asterisco"}}},{"key":"2A6F","mappings":{"default":{"default":"casi igual con ángulo"}},"category":"Sm"},{"category":"Sm","key":"2A70","mappings":{"default":{"default":"aproximadamente igual o igual a"}}},{"key":"2A71","mappings":{"default":{"default":"igual con más suscrito"}},"category":"Sm"},{"key":"2A72","mappings":{"default":{"default":"igual con más"}},"category":"Sm"},{"key":"2A73","mappings":{"default":{"default":"igual con operador tilde"}},"category":"Sm"},{"key":"2A74","mappings":{"default":{"default":"igual con dos puntos"}},"category":"Sm"},{"key":"2A75","mappings":{"default":{"default":"igual doble"}},"category":"Sm"},{"category":"Sm","key":"2A76","mappings":{"default":{"default":"tres signos de igualdad consecutivos"}}},{"key":"2A77","mappings":{"default":{"default":"igual entre cuatro puntos"}},"category":"Sm"},{"key":"2A78","mappings":{"default":{"default":"equivalente con cuatro puntos"}},"category":"Sm"},{"key":"2A79","mappings":{"default":{"default":"menor que con círculo interior"}},"category":"Sm"},{"key":"2A7A","mappings":{"default":{"default":"mayor que con círculo interior"}},"category":"Sm"},{"key":"2A7B","mappings":{"default":{"default":"menor que con interrogante"}},"category":"Sm"},{"key":"2A7C","mappings":{"default":{"default":"mayor que con interrogante"}},"category":"Sm"},{"key":"2A7D","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2A7E","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"2A7F","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A80","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A81","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A82","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"key":"2A83","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A84","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"category":"Sm","key":"2A85","mappings":{"default":{"default":"menor que o aproximado"}}},{"category":"Sm","key":"2A86","mappings":{"default":{"default":"mayor que o aproximado"}}},{"category":"Sm","key":"2A87","mappings":{"default":{"default":"menor que una línea no es igual a"}}},{"category":"Sm","key":"2A88","mappings":{"default":{"default":"mayores y una sola línea no son iguales a"}}},{"key":"2A89","mappings":{"default":{"default":"menor que, pero no aproximado a"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"mayor que, pero no aproximado a"}},"category":"Sm"},{"category":"Sm","key":"2A8B","mappings":{"default":{"default":"menos que arriba de la doble línea igual por encima de mayor que"}}},{"category":"Sm","key":"2A8C","mappings":{"default":{"default":"más que arriba de la línea doble igual sobre menos que"}}},{"key":"2A8D","mappings":{"default":{"default":"menor, similar o igual a"}},"category":"Sm"},{"key":"2A8E","mappings":{"default":{"default":"mayor, similar o igual a"}},"category":"Sm"},{"key":"2A8F","mappings":{"default":{"default":"menor, similar o mayor que"}},"category":"Sm"},{"key":"2A90","mappings":{"default":{"default":"mayor, similar o menor que"}},"category":"Sm"},{"key":"2A91","mappings":{"default":{"default":"menor, mayor o igual a"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"mayor, menor o igual a"}},"category":"Sm"},{"key":"2A93","mappings":{"default":{"default":"estrictamente menor o mayor que"}},"category":"Sm"},{"key":"2A94","mappings":{"default":{"default":"estrictamente mayor o menor que"}},"category":"Sm"},{"category":"Sm","key":"2A95","mappings":{"default":{"default":"inclinado igual o menor que"}}},{"category":"Sm","key":"2A96","mappings":{"default":{"default":"inclinado igual o mayor que"}}},{"key":"2A97","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A98","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A99","mappings":{"default":{"default":"menor o igual a"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"mayor o igual a"}},"category":"Sm"},{"category":"Sm","key":"2A9B","mappings":{"default":{"default":"doble línea inclinada igual o menor que"}}},{"category":"Sm","key":"2A9C","mappings":{"default":{"default":"doble línea inclinada igual o mayor que"}}},{"key":"2A9D","mappings":{"default":{"default":"equivalente o menor que"}},"category":"Sm"},{"key":"2A9E","mappings":{"default":{"default":"mayor o similar a"}},"category":"Sm"},{"key":"2A9F","mappings":{"default":{"default":"similar, menor o igual a"}},"category":"Sm"},{"key":"2AA0","mappings":{"default":{"default":"similar, mayor o igual a"}},"category":"Sm"},{"key":"2AA1","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"category":"Sm","key":"2AA3","mappings":{"default":{"default":"doble anidada menor que con barra inferior"}}},{"key":"2AA4","mappings":{"default":{"default":"menor que, mayor que"}},"category":"Sm"},{"key":"2AA5","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2AA6","mappings":{"default":{"default":"menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA7","mappings":{"default":{"default":"mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AA8","mappings":{"default":{"default":"estrictamente menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA9","mappings":{"default":{"default":"estrictamente mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AAA","mappings":{"default":{"default":"más reducido que"}},"category":"Sm"},{"key":"2AAB","mappings":{"default":{"default":"más amplio que"}},"category":"Sm"},{"key":"2AAC","mappings":{"default":{"default":"más reducido o igual a"}},"category":"Sm"},{"key":"2AAD","mappings":{"default":{"default":"más amplio o igual a"}},"category":"Sm"},{"key":"2AAE","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2AAF","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"category":"Sm","key":"2AB0","mappings":{"default":{"default":"sucede por encima de la línea de igual signo"}}},{"category":"Sm","key":"2AB1","mappings":{"default":{"default":"precede por encima de una línea no es igual a"}}},{"category":"Sm","key":"2AB2","mappings":{"default":{"default":"tiene éxito por encima de una línea no es igual a"}}},{"category":"Sm","key":"2AB3","mappings":{"default":{"default":"precede arriba del signo igual"}}},{"category":"Sm","key":"2AB4","mappings":{"default":{"default":"sucede por encima del signo igual"}}},{"key":"2AB5","mappings":{"default":{"default":"precede estrictamente a"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"sigue estrictamente a"}},"category":"Sm"},{"category":"Sm","key":"2AB7","mappings":{"default":{"default":"precede por encima de casi igual a"}}},{"category":"Sm","key":"2AB8","mappings":{"default":{"default":"tiene éxito por encima de casi igual a"}}},{"category":"Sm","key":"2AB9","mappings":{"default":{"default":"precede arriba no es igual a"}}},{"category":"Sm","key":"2ABA","mappings":{"default":{"default":"tiene éxito por encima de no casi igual a"}}},{"key":"2ABB","mappings":{"default":{"default":"precede mucho antes"}},"category":"Sm"},{"key":"2ABC","mappings":{"default":{"default":"sigue mucho después"}},"category":"Sm"},{"key":"2ABD","mappings":{"default":{"default":"subrelación de"}},"category":"Sm"},{"key":"2ABE","mappings":{"default":{"default":"contiene como subrelación a"}},"category":"Sm"},{"key":"2ABF","mappings":{"default":{"default":"incluido con más suscrito"}},"category":"Sm"},{"key":"2AC0","mappings":{"default":{"default":"contiene con más suscrito"}},"category":"Sm"},{"key":"2AC1","mappings":{"default":{"default":"incluido con por suscrito"}},"category":"Sm"},{"key":"2AC2","mappings":{"default":{"default":"contiene con por suscrito"}},"category":"Sm"},{"key":"2AC3","mappings":{"default":{"default":"incluido con punto o es igual a"}},"category":"Sm"},{"key":"2AC4","mappings":{"default":{"default":"contiene con punto o es igual a"}},"category":"Sm"},{"category":"Sm","key":"2AC5","mappings":{"default":{"default":"subconjunto de signo igual arriba"}}},{"category":"Sm","key":"2AC6","mappings":{"default":{"default":"superconjunto de signo igual arriba"}}},{"key":"2AC7","mappings":{"default":{"default":"incluido aproximadamente en"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"contiene aproximadamente a"}},"category":"Sm"},{"category":"Sm","key":"2AC9","mappings":{"default":{"default":"subconjunto de Arriba Casi Igual a"}}},{"category":"Sm","key":"2ACA","mappings":{"default":{"default":"superconjunto de arriba casi igual a"}}},{"category":"Sm","key":"2ACB","mappings":{"default":{"default":"subconjunto de lo anterior no es igual a"}}},{"category":"Sm","key":"2ACC","mappings":{"default":{"default":"superconjunto de arriba no es igual a"}}},{"category":"Sm","key":"2ACD","mappings":{"default":{"default":"operador de caja abierta a la izquierda cuadrada"}}},{"category":"Sm","key":"2ACE","mappings":{"default":{"default":"operador de caja abierta a la derecha cuadrada"}}},{"key":"2ACF","mappings":{"default":{"default":"incluido con cierre en"}},"category":"Sm"},{"key":"2AD0","mappings":{"default":{"default":"contiene al cierre del subconjunto"}},"category":"Sm"},{"key":"2AD1","mappings":{"default":{"default":"incluido el cierre o es igual a"}},"category":"Sm"},{"key":"2AD2","mappings":{"default":{"default":"contiene al cierre del subconjunto o es igual a"}},"category":"Sm"},{"key":"2AD3","mappings":{"default":{"default":"está incluido o contiene a"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"incluido doblemente en"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"contiene doblemente a"}},"category":"Sm"},{"key":"2AD7","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD8","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD9","mappings":{"default":{"default":"perteneciente dirigido hacia abajo"}},"category":"Sm"},{"key":"2ADA","mappings":{"default":{"default":"pitchfork with tee top"}},"category":"Sm"},{"key":"2ADB","mappings":{"default":{"default":"transversal intersection"}},"category":"Sm"},{"category":"Sm","key":"2ADC","mappings":{"default":{"default":"bifurcación"}}},{"category":"Sm","key":"2ADD","mappings":{"default":{"default":"nonforking"}}},{"category":"Sm","key":"2ADE","mappings":{"default":{"default":"tachuela Izquierda Corta"}}},{"category":"Sm","key":"2ADF","mappings":{"default":{"default":"tachuela corta hacia abajo"}}},{"category":"Sm","key":"2AE0","mappings":{"default":{"default":"short Up Tack"}}},{"category":"Sm","key":"2AE1","mappings":{"default":{"default":"perpendicular con s"}}},{"category":"Sm","key":"2AE2","mappings":{"default":{"default":"barra vertical Torniquete a la derecha"}}},{"category":"Sm","key":"2AE3","mappings":{"default":{"default":"barra vertical doble Torniquete izquierdo"}}},{"key":"2AE4","mappings":{"default":{"default":"double left turnstile vertical bar"}},"category":"Sm"},{"category":"Sm","key":"2AE5","mappings":{"default":{"default":"doble barra vertical doble torniquete izquierdo"}}},{"key":"2AE6","mappings":{"default":{"default":"long dash from left member of double vertical"}},"category":"Sm"},{"key":"2AE7","mappings":{"default":{"default":"short down tack with overbar"}},"category":"Sm"},{"key":"2AE8","mappings":{"default":{"default":"barra con perpendicular"}},"category":"Sm"},{"key":"2AE9","mappings":{"default":{"default":"short up tack above short down tack"}},"category":"Sm"},{"category":"Sm","key":"2AEA","mappings":{"default":{"default":"tachuela doble"}}},{"key":"2AEB","mappings":{"default":{"default":"double up tack"}},"category":"Sm"},{"key":"2AEC","mappings":{"default":{"default":"double stroke not sign"}},"category":"Sm"},{"key":"2AED","mappings":{"default":{"default":"reversed double stroke not sign"}},"category":"Sm"},{"key":"2AEE","mappings":{"default":{"default":"does not divide with reversed negation slash"}},"category":"Sm"},{"key":"2AEF","mappings":{"default":{"default":"barra vertical con círculo"}},"category":"Sm"},{"key":"2AF0","mappings":{"default":{"default":"barra con círculo inferior"}},"category":"Sm"},{"key":"2AF1","mappings":{"default":{"default":"down tack with circle below"}},"category":"Sm"},{"key":"2AF2","mappings":{"default":{"default":"paralela con marca"}},"category":"Sm"},{"key":"2AF3","mappings":{"default":{"default":"paralela con tilde"}},"category":"Sm"},{"category":"Sm","key":"2AF4","mappings":{"default":{"default":"relación binaria de barra vertical triple"}}},{"category":"Sm","key":"2AF5","mappings":{"default":{"default":"barra vertical triple con trazo horizontal"}}},{"category":"Sm","key":"2AF6","mappings":{"default":{"default":"operador Triple Colon"}}},{"category":"Sm","key":"2AF7","mappings":{"default":{"default":"triple anidada menos que"}}},{"category":"Sm","key":"2AF8","mappings":{"default":{"default":"triple anidado mayor que"}}},{"category":"Sm","key":"2AF9","mappings":{"default":{"default":"doble línea inclinada menor o igual a"}}},{"category":"Sm","key":"2AFA","mappings":{"default":{"default":"doble línea inclinada mayor o igual a"}}},{"category":"Sm","key":"2AFB","mappings":{"default":{"default":"relación Binaria Triple Sólida"}}},{"category":"Sm","key":"2AFC","mappings":{"default":{"default":"operador de barra vertical triple grande"}}},{"category":"Sm","key":"2AFD","mappings":{"default":{"default":"operador Doble Sólido"}}},{"category":"Sm","key":"2AFE","mappings":{"default":{"default":"barra vertical blanca"}}},{"category":"Sm","key":"2AFF","mappings":{"default":{"default":"barra vertical blanca N-Ary"}}},{"category":"Pd","key":"301C","mappings":{"default":{"default":"wave Dash"}}},{"category":"Po","key":"FE10","mappings":{"default":{"default":"formulario de presentación para coma vertical"}}},{"category":"Po","key":"FE13","mappings":{"default":{"default":"formulario de presentación para colon vertical"}}},{"category":"Po","key":"FE14","mappings":{"default":{"default":"formulario de presentación para punto y coma vertical"}}},{"category":"Po","key":"FE15","mappings":{"default":{"default":"formulario de presentación para el signo de exclamación vertical"}}},{"category":"Po","key":"FE16","mappings":{"default":{"default":"formulario de presentación para el signo de interrogación vertical"}}},{"category":"Po","key":"FE19","mappings":{"default":{"default":"formulario de presentación para elipsis horizontal vertical"}}},{"category":"Po","key":"FE30","mappings":{"default":{"default":"formulario de presentación para líder vertical de dos puntos"}}},{"category":"Pd","key":"FE31","mappings":{"default":{"default":"formulario de presentación para Vertical Em Dash"}}},{"category":"Pd","key":"FE32","mappings":{"default":{"default":"formulario de presentación para Vertical En Dash"}}},{"category":"Pc","key":"FE33","mappings":{"default":{"default":"formulario de presentación para línea vertical baja"}}},{"category":"Pc","key":"FE34","mappings":{"default":{"default":"formulario de presentación para línea baja ondulada vertical"}}},{"category":"Po","key":"FE45","mappings":{"default":{"default":"punto de sésamo"}}},{"category":"Po","key":"FE46","mappings":{"default":{"default":"punto de sésamo blanco"}}},{"category":"Po","key":"FE49","mappings":{"default":{"default":"línea discontinua"}}},{"category":"Po","key":"FE4A","mappings":{"default":{"default":"centinela Overline"}}},{"category":"Po","key":"FE4B","mappings":{"default":{"default":"ondulado Overline"}}},{"category":"Po","key":"FE4C","mappings":{"default":{"default":"doble Ondulado Ondulado"}}},{"category":"Pc","key":"FE4D","mappings":{"default":{"default":"línea baja discontinua"}}},{"category":"Pc","key":"FE4E","mappings":{"default":{"default":"línea baja de línea central"}}},{"category":"Pc","key":"FE4F","mappings":{"default":{"default":"línea baja ondulada"}}},{"category":"Po","key":"FE50","mappings":{"default":{"default":"comas pequeñas"}}},{"category":"Po","key":"FE52","mappings":{"default":{"default":"parada completa pequeña"}}},{"category":"Po","key":"FE54","mappings":{"default":{"default":"pequeño punto y coma"}}},{"category":"Po","key":"FE55","mappings":{"default":{"default":"pequeño colon"}}},{"category":"Po","key":"FE56","mappings":{"default":{"default":"pequeño signo de interrogación"}}},{"category":"Po","key":"FE57","mappings":{"default":{"default":"pequeño signo de exclamación"}}},{"category":"Pd","key":"FE58","mappings":{"default":{"default":"pequeño Em Dash"}}},{"category":"Po","key":"FE5F","mappings":{"default":{"default":"signo de número pequeño"}}},{"category":"Po","key":"FE60","mappings":{"default":{"default":"ampersand pequeño"}}},{"category":"Po","key":"FE61","mappings":{"default":{"default":"pequeño asterisco"}}},{"category":"Sm","key":"FE62","mappings":{"default":{"default":"signo más pequeño"}}},{"category":"Pd","key":"FE63","mappings":{"default":{"default":"pequeño guión-menos"}}},{"category":"Sm","key":"FE64","mappings":{"default":{"default":"signo menor que pequeño"}}},{"category":"Sm","key":"FE65","mappings":{"default":{"default":"signo mayor que pequeño"}}},{"category":"Sm","key":"FE66","mappings":{"default":{"default":"signo pequeño igual"}}},{"key":"FE68","mappings":{"default":{"default":"división entera"}},"category":"Po"},{"category":"Sc","key":"FE69","mappings":{"default":{"default":"pequeño signo de dólar"}}},{"category":"Po","key":"FE6A","mappings":{"default":{"default":"signo de porcentaje pequeño"}}},{"category":"Po","key":"FE6B","mappings":{"default":{"default":"pequeño comercial en"}}},{"category":"Po","key":"FF01","mappings":{"default":{"default":"signo de exclamación de ancho completo"}}},{"category":"Po","key":"FF02","mappings":{"default":{"default":"comillas de ancho completo"}}},{"category":"Po","key":"FF03","mappings":{"default":{"default":"número de signo de ancho completo"}}},{"category":"Sc","key":"FF04","mappings":{"default":{"default":"signo de dólar de ancho completo"}}},{"category":"Po","key":"FF05","mappings":{"default":{"default":"signo de porcentaje de ancho completo"}}},{"category":"Po","key":"FF06","mappings":{"default":{"default":"ampersand de ancho completo"}}},{"category":"Po","key":"FF07","mappings":{"default":{"default":"apóstrofe de ancho completo"}}},{"category":"Po","key":"FF0A","mappings":{"default":{"default":"asterisco de ancho completo"}}},{"category":"Sm","key":"FF0B","mappings":{"default":{"default":"signo de ancho completo"}}},{"category":"Po","key":"FF0C","mappings":{"default":{"default":"coma de ancho completo"}}},{"category":"Pd","key":"FF0D","mappings":{"default":{"default":"ancho de ancho completo"}}},{"category":"Po","key":"FF0E","mappings":{"default":{"default":"fullwidth Full Stop"}}},{"category":"Po","key":"FF0F","mappings":{"default":{"default":"sólido de ancho completo"}}},{"category":"Po","key":"FF1A","mappings":{"default":{"default":"ancho completo de colon"}}},{"category":"Po","key":"FF1B","mappings":{"default":{"default":"punto y coma de ancho completo"}}},{"category":"Sm","key":"FF1C","mappings":{"default":{"default":"ancho completo menos de la señal"}}},{"category":"Sm","key":"FF1D","mappings":{"default":{"default":"signo de igual ancho completo"}}},{"category":"Sm","key":"FF1E","mappings":{"default":{"default":"ancho completo mayor que el signo"}}},{"category":"Po","key":"FF1F","mappings":{"default":{"default":"signo de interrogación de ancho completo"}}},{"category":"Po","key":"FF20","mappings":{"default":{"default":"comercial de ancho completo en"}}},{"category":"Po","key":"FF3C","mappings":{"default":{"default":"sólido inverso de ancho completo"}}},{"category":"Sk","key":"FF3E","mappings":{"default":{"default":"acento circunflejo de ancho completo"}}},{"category":"Pc","key":"FF3F","mappings":{"default":{"default":"línea baja de ancho completo"}}},{"category":"Sk","key":"FF40","mappings":{"default":{"default":"acento grave de ancho completo"}}},{"key":"FF5C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"},{"category":"Sm","key":"FF5E","mappings":{"default":{"default":"tilde de ancho completo"}}},{"category":"Sc","key":"FFE0","mappings":{"default":{"default":"signo de centavo de ancho completo"}}},{"category":"Sc","key":"FFE1","mappings":{"default":{"default":"signo de libra de ancho completo"}}},{"category":"Sm","key":"FFE2","mappings":{"default":{"default":"fullwidth no firmar"}}},{"category":"Sk","key":"FFE3","mappings":{"default":{"default":"ancho completo macron"}}},{"category":"So","key":"FFE4","mappings":{"default":{"default":"barra rota de ancho completo"}}},{"category":"Sc","key":"FFE5","mappings":{"default":{"default":"signo de yen de ancho completo"}}},{"category":"Sc","key":"FFE6","mappings":{"default":{"default":"signo de ancho completo ganado"}}},{"category":"So","key":"FFE8","mappings":{"default":{"default":"formas de ancho medio luz vertical"}}},{"category":"So","key":"FFED","mappings":{"default":{"default":"medio ancho cuadrado negro"}}},{"category":"So","key":"FFEE","mappings":{"default":{"default":"círculo blanco de medio ancho"}}}]
 ,
-"es/latin-mathfonts-sans-serif-bold.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula A"}},"key":"1D5D4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula B"}},"key":"1D5D5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula C"}},"key":"1D5D6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula D"}},"key":"1D5D7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula E"}},"key":"1D5D8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula F"}},"key":"1D5D9"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula G"}},"key":"1D5DA"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula H"}},"key":"1D5DB"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula I"}},"key":"1D5DC"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula J"}},"key":"1D5DD"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula K"}},"key":"1D5DE"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula L"}},"key":"1D5DF"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula M"}},"key":"1D5E0"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula N"}},"key":"1D5E1"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula O"}},"key":"1D5E2"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula P"}},"key":"1D5E3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Q"}},"key":"1D5E4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula R"}},"key":"1D5E5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula S"}},"key":"1D5E6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula T"}},"key":"1D5E7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula U"}},"key":"1D5E8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula V"}},"key":"1D5E9"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula W"}},"key":"1D5EA"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula X"}},"key":"1D5EB"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Y"}},"key":"1D5EC"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Z"}},"key":"1D5ED"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita a"}},"key":"1D5EE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita b"}},"key":"1D5EF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita c"}},"key":"1D5F0"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita d"}},"key":"1D5F1"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita e"}},"key":"1D5F2"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita f"}},"key":"1D5F3"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita g"}},"key":"1D5F4"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita h"}},"key":"1D5F5"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita i"}},"key":"1D5F6"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita j"}},"key":"1D5F7"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita k"}},"key":"1D5F8"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita l"}},"key":"1D5F9"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita m"}},"key":"1D5FA"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita n"}},"key":"1D5FB"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita o"}},"key":"1D5FC"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita p"}},"key":"1D5FD"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita q"}},"key":"1D5FE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita r"}},"key":"1D5FF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita s"}},"key":"1D600"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita t"}},"key":"1D601"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita u"}},"key":"1D602"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita v"}},"key":"1D603"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita w"}},"key":"1D604"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita x"}},"key":"1D605"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita y"}},"key":"1D606"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita z"}},"key":"1D607"}]
+"es/symbols/math_whitespace.js": 
+[{"locale":"es"},{"category":"Zs","key":"0020","mappings":{"default":{"default":"espacio"}}},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"guión corto"}},"category":"Cf"},{"category":"Zs","key":"2000","mappings":{"default":{"default":"en quad"}}},{"category":"Zs","key":"2001","mappings":{"default":{"default":"em Quad"}}},{"key":"2002","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2004","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2005","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Zs","key":"2006","mappings":{"default":{"default":"espacio Six-Per-Em"}}},{"key":"2007","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2008","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"200C","mappings":{"default":{"default":"ancho de cero no ensamblador"}},"category":"Cf"},{"key":"200D","mappings":{"default":{"default":"ancho de cero ensamblador"}},"category":"Cf"},{"key":"200E","mappings":{"default":{"default":"marca de izquierda a derecha"}},"category":"Cf"},{"key":"200F","mappings":{"default":{"default":"marca de derecha a izquierda"}},"category":"Cf"},{"category":"Zl","key":"2028","mappings":{"default":{"default":"separador de linea"}}},{"category":"Zp","key":"2029","mappings":{"default":{"default":"separador de párrafo"}}},{"category":"Cf","key":"202A","mappings":{"default":{"default":"incrustación de izquierda a derecha"}}},{"category":"Cf","key":"202B","mappings":{"default":{"default":"incrustación de derecha a izquierda"}}},{"category":"Cf","key":"202C","mappings":{"default":{"default":"formato direccional pop"}}},{"category":"Cf","key":"202D","mappings":{"default":{"default":"anulación de izquierda a derecha"}}},{"category":"Cf","key":"202E","mappings":{"default":{"default":"anulación de derecha a izquierda"}}},{"category":"Zs","key":"202F","mappings":{"default":{"default":"espacio estrecho sin descanso"}}},{"key":"205F","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2060","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"2061","mappings":{"default":{"default":"de"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":"por"}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":"coma"}},"category":"Cf"},{"key":"2064","mappings":{"default":{"default":"más"}},"category":"Cf"},{"category":"Cf","key":"206A","mappings":{"default":{"default":"inhibir el intercambio simétrico"}}},{"category":"Cf","key":"206B","mappings":{"default":{"default":"activar el intercambio simétrico"}}},{"category":"Cf","key":"206E","mappings":{"default":{"default":"formas de dígitos nacionales"}}},{"category":"Cf","key":"206F","mappings":{"default":{"default":"formas de dígitos nominales"}}},{"key":"FEFF","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"FFF9","mappings":{"default":{"default":"ancla de anotación interlinear"}}},{"category":"Cf","key":"FFFA","mappings":{"default":{"default":"separador de anotación interlinear"}}},{"category":"Cf","key":"FFFB","mappings":{"default":{"default":"terminador de anotación interlinear"}}}]
 ,
-"es/latin-mathfonts-sans-serif-italic.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula A"}},"key":"1D608"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula B"}},"key":"1D609"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula C"}},"key":"1D60A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula D"}},"key":"1D60B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula E"}},"key":"1D60C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula F"}},"key":"1D60D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula G"}},"key":"1D60E"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula H"}},"key":"1D60F"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula I"}},"key":"1D610"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula J"}},"key":"1D611"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula K"}},"key":"1D612"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula L"}},"key":"1D613"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula M"}},"key":"1D614"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula N"}},"key":"1D615"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula O"}},"key":"1D616"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula P"}},"key":"1D617"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula Q"}},"key":"1D618"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula R"}},"key":"1D619"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula S"}},"key":"1D61A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula T"}},"key":"1D61B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula U"}},"key":"1D61C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula V"}},"key":"1D61D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula W"}},"key":"1D61E"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula X"}},"key":"1D61F"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula Y"}},"key":"1D620"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula Z"}},"key":"1D621"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva a"}},"key":"1D622"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva b"}},"key":"1D623"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva c"}},"key":"1D624"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva d"}},"key":"1D625"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva e"}},"key":"1D626"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva f"}},"key":"1D627"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva g"}},"key":"1D628"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva h"}},"key":"1D629"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva i"}},"key":"1D62A"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva j"}},"key":"1D62B"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva k"}},"key":"1D62C"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva l"}},"key":"1D62D"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva m"}},"key":"1D62E"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva n"}},"key":"1D62F"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva o"}},"key":"1D630"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva p"}},"key":"1D631"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva q"}},"key":"1D632"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva r"}},"key":"1D633"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva s"}},"key":"1D634"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva t"}},"key":"1D635"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva u"}},"key":"1D636"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva v"}},"key":"1D637"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva w"}},"key":"1D638"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva x"}},"key":"1D639"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva y"}},"key":"1D63A"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva z"}},"key":"1D63B"}]
+"es/symbols/other_stars.js": 
+[{"locale":"es"},{"category":"So","key":"23E8","mappings":{"default":{"default":"símbolo exponente decimal"}}},{"key":"2605","mappings":{"default":{"default":"estrella rellena"}},"category":"So"},{"key":"2606","mappings":{"default":{"default":"estrella vacía"}},"category":"So"},{"category":"So","key":"26AA","mappings":{"default":{"default":"círculo blanco medio"}}},{"category":"So","key":"26AB","mappings":{"default":{"default":"círculo negro medio"}}},{"category":"So","key":"2705","mappings":{"default":{"default":"marca de verificación pesada blanca"}}},{"key":"2713","mappings":{"default":{"default":"check mark"}},"category":"So"},{"category":"So","key":"2714","mappings":{"default":{"default":"marca de verificación pesada"}}},{"category":"So","key":"2715","mappings":{"default":{"default":"multiplicación x"}}},{"category":"So","key":"2716","mappings":{"default":{"default":"multiplicación pesada X"}}},{"key":"2717","mappings":{"default":{"default":"ballot x"}},"category":"So"},{"category":"So","key":"2718","mappings":{"default":{"default":"boleta pesada X"}}},{"category":"So","key":"271B","mappings":{"default":{"default":"centro abierto de la cruz"}}},{"category":"So","key":"271C","mappings":{"default":{"default":"pesado centro abierto cruz"}}},{"key":"2720","mappings":{"default":{"default":"cruz de Malta"}},"category":"So"},{"category":"So","key":"2721","mappings":{"default":{"default":"estrella de David"}}},{"category":"So","key":"2722","mappings":{"default":{"default":"cuatro asterisco de lágrima"}}},{"category":"So","key":"2723","mappings":{"default":{"default":"cuatro asterisco de globo"}}},{"category":"So","key":"2724","mappings":{"default":{"default":"pesado Cuatro asterisco impulsado por globo"}}},{"category":"So","key":"2725","mappings":{"default":{"default":"cuatro asterisco de club-spoked"}}},{"category":"So","key":"2726","mappings":{"default":{"default":"estrella de cuatro puntas negra"}}},{"category":"So","key":"2727","mappings":{"default":{"default":"estrella blanca de cuatro puntas"}}},{"category":"So","key":"2728","mappings":{"default":{"default":"destellos"}}},{"category":"So","key":"2729","mappings":{"default":{"default":"estrés subrayado estrella blanca"}}},{"category":"So","key":"272A","mappings":{"default":{"default":"estrella blanca circulada"}}},{"category":"So","key":"272B","mappings":{"default":{"default":"centro Abierto Estrella Negra"}}},{"category":"So","key":"272C","mappings":{"default":{"default":"centro negro estrella blanca"}}},{"category":"So","key":"272D","mappings":{"default":{"default":"contorneado negro estrella"}}},{"category":"So","key":"272E","mappings":{"default":{"default":"estrella negra contorneada pesada"}}},{"category":"So","key":"272F","mappings":{"default":{"default":"pinwheel Star"}}},{"category":"So","key":"2730","mappings":{"default":{"default":"estrella blanca sombreada"}}},{"category":"So","key":"2731","mappings":{"default":{"default":"asterisco pesado"}}},{"category":"So","key":"2732","mappings":{"default":{"default":"centro abierto de asterisco"}}},{"category":"So","key":"2733","mappings":{"default":{"default":"ocho asterisco hablado"}}},{"category":"So","key":"2734","mappings":{"default":{"default":"ocho estrellas negras puntiagudas"}}},{"category":"So","key":"2735","mappings":{"default":{"default":"ocho estrellas de molinete en punta"}}},{"key":"2736","mappings":{"default":{"default":"estrella rellena de seis puntas"}},"category":"So"},{"category":"So","key":"2739","mappings":{"default":{"default":"doce estrellas negras puntiagudas"}}},{"category":"So","key":"273A","mappings":{"default":{"default":"dieciséis asteriscos en punta"}}},{"category":"So","key":"273B","mappings":{"default":{"default":"asterisco con efecto de lágrima"}}},{"category":"So","key":"273C","mappings":{"default":{"default":"centro abierto con asterisco con forma de lágrima"}}},{"key":"273D","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"category":"So"},{"category":"So","key":"273E","mappings":{"default":{"default":"seis pétalos de florette en blanco y negro"}}},{"category":"So","key":"273F","mappings":{"default":{"default":"florette negro"}}},{"category":"So","key":"2740","mappings":{"default":{"default":"florette blanco"}}},{"category":"So","key":"2741","mappings":{"default":{"default":"ocho Petalled Outlined Black Florette"}}},{"category":"So","key":"2742","mappings":{"default":{"default":"círculo abierto centro ocho estrellas señaladas"}}},{"category":"So","key":"2743","mappings":{"default":{"default":"asterisco pesado del molinillo de viento"}}},{"category":"So","key":"2744","mappings":{"default":{"default":"copo de nieve"}}},{"category":"So","key":"2745","mappings":{"default":{"default":"copo de nieve trifolio apretado"}}},{"category":"So","key":"2746","mappings":{"default":{"default":"copo de nieve pesado de Chevron"}}},{"category":"So","key":"2747","mappings":{"default":{"default":"brillar"}}},{"category":"So","key":"2748","mappings":{"default":{"default":"chispa pesada"}}},{"category":"So","key":"2749","mappings":{"default":{"default":"asterisco de globo"}}},{"category":"So","key":"274A","mappings":{"default":{"default":"ocho asterisco de hélice con efecto de lágrima"}}},{"category":"So","key":"274B","mappings":{"default":{"default":"heavy eight asterisk de hélice en forma de lágrima"}}},{"category":"So","key":"274C","mappings":{"default":{"default":"marca de la cruz"}}},{"category":"So","key":"274D","mappings":{"default":{"default":"círculo blanco sombreado"}}}]
 ,
-"es/latin-mathfonts-sans-serif.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula A"}},"key":"1D5A0"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula B"}},"key":"1D5A1"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula C"}},"key":"1D5A2"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula D"}},"key":"1D5A3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula E"}},"key":"1D5A4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula F"}},"key":"1D5A5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula G"}},"key":"1D5A6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula H"}},"key":"1D5A7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula I"}},"key":"1D5A8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula J"}},"key":"1D5A9"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula K"}},"key":"1D5AA"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula L"}},"key":"1D5AB"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula M"}},"key":"1D5AC"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula N"}},"key":"1D5AD"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula O"}},"key":"1D5AE"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula P"}},"key":"1D5AF"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula Q"}},"key":"1D5B0"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula R"}},"key":"1D5B1"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula S"}},"key":"1D5B2"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula T"}},"key":"1D5B3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula U"}},"key":"1D5B4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula V"}},"key":"1D5B5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula W"}},"key":"1D5B6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula X"}},"key":"1D5B7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula Y"}},"key":"1D5B8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula Z"}},"key":"1D5B9"},{"category":"Ll","mappings":{"default":{"default":"sans-serif a"}},"key":"1D5BA"},{"category":"Ll","mappings":{"default":{"default":"sans-serif b"}},"key":"1D5BB"},{"category":"Ll","mappings":{"default":{"default":"sans-serif c"}},"key":"1D5BC"},{"category":"Ll","mappings":{"default":{"default":"sans-serif d"}},"key":"1D5BD"},{"category":"Ll","mappings":{"default":{"default":"sans-serif e"}},"key":"1D5BE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif f"}},"key":"1D5BF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif g"}},"key":"1D5C0"},{"category":"Ll","mappings":{"default":{"default":"sans-serif h"}},"key":"1D5C1"},{"category":"Ll","mappings":{"default":{"default":"sans-serif i"}},"key":"1D5C2"},{"category":"Ll","mappings":{"default":{"default":"sans-serif j"}},"key":"1D5C3"},{"category":"Ll","mappings":{"default":{"default":"sans-serif k"}},"key":"1D5C4"},{"category":"Ll","mappings":{"default":{"default":"sans-serif l"}},"key":"1D5C5"},{"category":"Ll","mappings":{"default":{"default":"sans-serif m"}},"key":"1D5C6"},{"category":"Ll","mappings":{"default":{"default":"sans-serif n"}},"key":"1D5C7"},{"category":"Ll","mappings":{"default":{"default":"sans-serif o"}},"key":"1D5C8"},{"category":"Ll","mappings":{"default":{"default":"sans-serif p"}},"key":"1D5C9"},{"category":"Ll","mappings":{"default":{"default":"sans-serif q"}},"key":"1D5CA"},{"category":"Ll","mappings":{"default":{"default":"sans-serif r"}},"key":"1D5CB"},{"category":"Ll","mappings":{"default":{"default":"sans-serif s"}},"key":"1D5CC"},{"category":"Ll","mappings":{"default":{"default":"sans-serif t"}},"key":"1D5CD"},{"category":"Ll","mappings":{"default":{"default":"sans-serif u"}},"key":"1D5CE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif v"}},"key":"1D5CF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif w"}},"key":"1D5D0"},{"category":"Ll","mappings":{"default":{"default":"sans-serif x"}},"key":"1D5D1"},{"category":"Ll","mappings":{"default":{"default":"sans-serif y"}},"key":"1D5D2"},{"category":"Ll","mappings":{"default":{"default":"sans-serif z"}},"key":"1D5D3"}]
+"es/units/energy.js": 
+[{"locale":"es"},{"key":"W","names":["W","w"],"mappings":{"default":{"default":"watt"}},"category":"energy"},{"key":"kW","names":["kw","kW"],"mappings":{"default":{"default":"kilowatt"}},"category":"energy"},{"key":"mW","names":["mw","mW"],"mappings":{"default":{"default":"miliwatt"}},"category":"energy"},{"key":"kwh","names":["kwh","kWh"],"mappings":{"default":{"default":"kilowatt hora"}},"category":"energy"},{"key":"J","names":["J"],"mappings":{"default":{"default":"Joule"}},"category":"energy"},{"key":"N","names":["N"],"mappings":{"default":{"default":"Newton"}},"category":"energy"},{"key":"A","names":["A"],"mappings":{"default":{"default":"Ampere"}},"category":"energy"},{"key":"V","names":["V"],"mappings":{"default":{"default":"Voltio"}},"category":"energy"},{"key":"µΩ","names":["µΩ"],"mappings":{"default":{"default":"microohmio"}},"category":"energy"},{"key":"mΩ","names":["mΩ"],"mappings":{"default":{"default":"miliohmio"}},"category":"energy"},{"key":"Ω","names":["Ω","Ohm"],"mappings":{"default":{"default":"ohmio"}},"category":"energy"},{"key":"kΩ","names":["kΩ","KΩ"],"mappings":{"default":{"default":"kiloohmio"}},"category":"energy"},{"key":"MΩ","names":["MΩ"],"mappings":{"default":{"default":"megaohmio"}},"category":"energy"},{"key":"GΩ","names":["GΩ"],"mappings":{"default":{"default":"gigaohmio"}},"category":"energy"}]
 ,
-"es/latin-mathfonts-script.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula A"}},"key":"1D49C"},{"key":"212C","mappings":{"default":{"default":"script mayúscula B"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula C"}},"key":"1D49E"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula D"}},"key":"1D49F"},{"key":"2130","mappings":{"default":{"default":"script mayúscula E"}},"category":"Lu"},{"key":"2131","mappings":{"default":{"default":"script mayúscula F"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula G"}},"key":"1D4A2"},{"key":"210B","mappings":{"default":{"default":"script mayúscula H"}},"category":"Lu"},{"key":"2110","mappings":{"default":{"default":"script mayúscula I"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula J"}},"key":"1D4A5"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula K"}},"key":"1D4A6"},{"key":"2112","mappings":{"default":{"default":"script mayúscula L"}},"category":"Lu"},{"key":"2133","mappings":{"default":{"default":"script mayúscula M"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula N"}},"key":"1D4A9"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula O"}},"key":"1D4AA"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula P"}},"key":"1D4AB"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula Q"}},"key":"1D4AC"},{"key":"211B","mappings":{"default":{"default":"script mayúscula R"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula S"}},"key":"1D4AE"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula T"}},"key":"1D4AF"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula U"}},"key":"1D4B0"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula V"}},"key":"1D4B1"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula W"}},"key":"1D4B2"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula X"}},"key":"1D4B3"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula Y"}},"key":"1D4B4"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula Z"}},"key":"1D4B5"},{"category":"Ll","mappings":{"default":{"default":"script a"}},"key":"1D4B6"},{"category":"Ll","mappings":{"default":{"default":"script b"}},"key":"1D4B7"},{"category":"Ll","mappings":{"default":{"default":"script c"}},"key":"1D4B8"},{"category":"Ll","mappings":{"default":{"default":"script d"}},"key":"1D4B9"},{"key":"212F","mappings":{"default":{"default":"script e"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"script f"}},"key":"1D4BB"},{"key":"210A","mappings":{"default":{"default":"script g"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"script h"}},"key":"1D4BD"},{"category":"Ll","mappings":{"default":{"default":"script i"}},"key":"1D4BE"},{"category":"Ll","mappings":{"default":{"default":"script j"}},"key":"1D4BF"},{"category":"Ll","mappings":{"default":{"default":"script k"}},"key":"1D4C0"},{"category":"Ll","mappings":{"default":{"default":"script l"}},"key":"1D4C1"},{"category":"Ll","mappings":{"default":{"default":"script m"}},"key":"1D4C2"},{"category":"Ll","mappings":{"default":{"default":"script n"}},"key":"1D4C3"},{"key":"2134","mappings":{"default":{"default":"script o"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"script p"}},"key":"1D4C5"},{"category":"Ll","mappings":{"default":{"default":"script q"}},"key":"1D4C6"},{"category":"Ll","mappings":{"default":{"default":"script r"}},"key":"1D4C7"},{"category":"Ll","mappings":{"default":{"default":"script s"}},"key":"1D4C8"},{"category":"Ll","mappings":{"default":{"default":"script t"}},"key":"1D4C9"},{"category":"Ll","mappings":{"default":{"default":"script u"}},"key":"1D4CA"},{"category":"Ll","mappings":{"default":{"default":"script v"}},"key":"1D4CB"},{"category":"Ll","mappings":{"default":{"default":"script w"}},"key":"1D4CC"},{"category":"Ll","mappings":{"default":{"default":"script x"}},"key":"1D4CD"},{"category":"Ll","mappings":{"default":{"default":"script y"}},"key":"1D4CE"},{"category":"Ll","mappings":{"default":{"default":"script z"}},"key":"1D4CF"}]
+"es/units/length.js": 
+[{"locale":"es"},{"key":"mm","names":["mm"],"mappings":{"default":{"default":"milímetro"}},"category":"length"},{"key":"cm","names":["cm"],"mappings":{"default":{"default":"centímetro"}},"category":"length"},{"key":"m","names":["m"],"mappings":{"default":{"default":"metro"}},"category":"length"},{"key":"km","names":["km"],"mappings":{"default":{"default":"kilómetro"}},"category":"length"},{"key":"ft","names":["ft","ft."],"mappings":{"default":{"default":"pies"}},"category":"length"},{"key":"in","names":["in","in."],"mappings":{"default":{"default":"pulgada"}},"category":"length"},{"key":"mi","names":["mi","mi."],"mappings":{"default":{"default":"milla"}},"category":"length"},{"key":"yd","names":["yd","yd."],"mappings":{"default":{"default":"yarda"}},"category":"length"},{"key":"n.m.","names":["n.m."],"mappings":{"default":{"default":"millas náuticas"}},"category":"length"}]
 ,
-"es/latin-rest.js": 
-[{"locale":"es"},{"key":"24C8","mappings":{"default":{"default":"S en círculo"}},"category":"So"}]
+"es/units/memory.js": 
+[{"locale":"es"},{"key":"b","names":["b"],"mappings":{"default":{"default":"bit"}},"category":"memory"},{"key":"B","names":["B"],"mappings":{"default":{"default":"byte"}},"category":"memory"},{"key":"KB","names":["KB"],"mappings":{"default":{"default":"kilobyte"}},"category":"memory"},{"key":"MB","names":["MB"],"mappings":{"default":{"default":"megabyte"}},"category":"memory"},{"key":"GB","names":["GB"],"mappings":{"default":{"default":"gigabyte"}},"category":"memory"},{"key":"TB","names":["TB"],"mappings":{"default":{"default":"terabyte"}},"category":"memory"}]
 ,
-"es/latin-upper-double-accent.js": 
-[{"locale":"es"},{"key":"1E08","mappings":{"default":{"default":"mayúscula C con cedilla y agudo"}},"category":"Lu"},{"key":"1E14","mappings":{"default":{"default":"mayúscula E con macrón y grave"}},"category":"Lu"},{"key":"1E16","mappings":{"default":{"default":"mayúscula E con macrón y agudo"}},"category":"Lu"},{"key":"1E1C","mappings":{"default":{"default":"mayúscula E with cedilla and breve"}},"category":"Lu"},{"key":"1E2E","mappings":{"default":{"default":"mayúscula I con diéresis y agudo"}},"category":"Lu"},{"key":"1E38","mappings":{"default":{"default":"mayúscula L con punto debajo y macrón"}},"category":"Lu"},{"key":"1E4C","mappings":{"default":{"default":"mayúscula O con tilde y acute"}},"category":"Lu"},{"key":"1E4E","mappings":{"default":{"default":"mayúscula O con tilde y diéresis"}},"category":"Lu"},{"key":"1E50","mappings":{"default":{"default":"mayúscula O con macrón y grave"}},"category":"Lu"},{"key":"1E52","mappings":{"default":{"default":"mayúscula O con macrón y agudo"}},"category":"Lu"},{"key":"1E5C","mappings":{"default":{"default":"mayúscula R con punto debajo y macrón"}},"category":"Lu"},{"key":"1E64","mappings":{"default":{"default":"mayúscula S con agudo y punto arriba"}},"category":"Lu"},{"key":"1E66","mappings":{"default":{"default":"mayúscula S con carón y punto arriba"}},"category":"Lu"},{"key":"1E68","mappings":{"default":{"default":"mayúscula S con punto debajo y punto arriba"}},"category":"Lu"},{"key":"1E78","mappings":{"default":{"default":"mayúscula U con tilde y agudo"}},"category":"Lu"},{"key":"1E7A","mappings":{"default":{"default":"mayúscula U con macrón y diéresis"}},"category":"Lu"},{"key":"1EA4","mappings":{"default":{"default":"mayúscula A con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EA6","mappings":{"default":{"default":"mayúscula A con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EA8","mappings":{"default":{"default":"mayúscula A con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EAA","mappings":{"default":{"default":"mayúscula A con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EAC","mappings":{"default":{"default":"mayúscula A con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EAE","mappings":{"default":{"default":"mayúscula A con breve y agudo"}},"category":"Lu"},{"key":"1EB0","mappings":{"default":{"default":"mayúscula A con breve y grave"}},"category":"Lu"},{"key":"1EB2","mappings":{"default":{"default":"mayúscula A con breve y gancho arriba"}},"category":"Lu"},{"key":"1EB4","mappings":{"default":{"default":"mayúscula A con breve y tilde"}},"category":"Lu"},{"key":"1EB6","mappings":{"default":{"default":"mayúscula A con breve y punto debajo"}},"category":"Lu"},{"key":"1EBE","mappings":{"default":{"default":"mayúscula E con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EC0","mappings":{"default":{"default":"mayúscula E con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EC2","mappings":{"default":{"default":"mayúscula E con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EC4","mappings":{"default":{"default":"mayúscula E con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EC6","mappings":{"default":{"default":"mayúscula E con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1ED0","mappings":{"default":{"default":"mayúscula O con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1ED2","mappings":{"default":{"default":"mayúscula O con acento circunflejo y grave"}},"category":"Lu"},{"key":"1ED4","mappings":{"default":{"default":"mayúscula O con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1ED6","mappings":{"default":{"default":"mayúscula O con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1ED8","mappings":{"default":{"default":"mayúscula O con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EDA","mappings":{"default":{"default":"mayúscula O with horn and acute"}},"category":"Lu"},{"key":"1EDC","mappings":{"default":{"default":"mayúscula O with horn and grave"}},"category":"Lu"},{"key":"1EDE","mappings":{"default":{"default":"mayúscula O with horn and hook above"}},"category":"Lu"},{"key":"1EE0","mappings":{"default":{"default":"mayúscula O with horn and tilde"}},"category":"Lu"},{"key":"1EE2","mappings":{"default":{"default":"mayúscula O con cuerno y punto debajo"}},"category":"Lu"},{"key":"1EE8","mappings":{"default":{"default":"mayúscula U con cuerno y agudo"}},"category":"Lu"},{"key":"1EEA","mappings":{"default":{"default":"mayúscula U con cuerno y grave"}},"category":"Lu"},{"key":"1EEC","mappings":{"default":{"default":"mayúscula U con cuerno y gancho arriba"}},"category":"Lu"},{"key":"1EEE","mappings":{"default":{"default":"mayúscula U con cuerno y tilde"}},"category":"Lu"},{"key":"1EF0","mappings":{"default":{"default":"mayúscula U con cuerno y punto debajo"}},"category":"Lu"}]
+"es/units/other.js": 
+[{"locale":"es"},{"key":"doz","names":["doz","doz.","dz","dz."],"mappings":{"default":{"default":"docena"}},"category":"other"},{"key":"sq","names":["sq","sq."],"mappings":{"default":{"default":"al cuadrado"}},"category":"other"},{"key":"ha","names":["ha"],"mappings":{"default":{"default":"hectarea"}},"category":"other"}]
 ,
-"es/latin-upper-normal.js": 
-[{"locale":"es"},{"key":"0041","mappings":{"default":{"default":"mayúscula A"}},"category":"Lu"},{"key":"0042","mappings":{"default":{"default":"mayúscula B"}},"category":"Lu"},{"key":"0043","mappings":{"default":{"default":"mayúscula C"}},"category":"Lu"},{"key":"0044","mappings":{"default":{"default":"mayúscula D"}},"category":"Lu"},{"key":"0045","mappings":{"default":{"default":"mayúscula E"}},"category":"Lu"},{"key":"0046","mappings":{"default":{"default":"mayúscula F"}},"category":"Lu"},{"key":"0047","mappings":{"default":{"default":"mayúscula G"}},"category":"Lu"},{"key":"0048","mappings":{"default":{"default":"mayúscula H"}},"category":"Lu"},{"key":"0049","mappings":{"default":{"default":"mayúscula I"}},"category":"Lu"},{"key":"004A","mappings":{"default":{"default":"mayúscula J"}},"category":"Lu"},{"key":"004B","mappings":{"default":{"default":"mayúscula K"}},"category":"Lu"},{"key":"004C","mappings":{"default":{"default":"mayúscula L"}},"category":"Lu"},{"key":"004D","mappings":{"default":{"default":"mayúscula M"}},"category":"Lu"},{"key":"004E","mappings":{"default":{"default":"mayúscula N"}},"category":"Lu"},{"key":"004F","mappings":{"default":{"default":"mayúscula O"}},"category":"Lu"},{"key":"0050","mappings":{"default":{"default":"mayúscula P"}},"category":"Lu"},{"key":"0051","mappings":{"default":{"default":"mayúscula Q"}},"category":"Lu"},{"key":"0052","mappings":{"default":{"default":"mayúscula R"}},"category":"Lu"},{"key":"0053","mappings":{"default":{"default":"mayúscula S"}},"category":"Lu"},{"key":"0054","mappings":{"default":{"default":"mayúscula T"}},"category":"Lu"},{"key":"0055","mappings":{"default":{"default":"mayúscula U"}},"category":"Lu"},{"key":"0056","mappings":{"default":{"default":"mayúscula V"}},"category":"Lu"},{"key":"0057","mappings":{"default":{"default":"mayúscula W"}},"category":"Lu"},{"key":"0058","mappings":{"default":{"default":"mayúscula X"}},"category":"Lu"},{"key":"0059","mappings":{"default":{"default":"mayúscula Y","defaultMP":"Ye"}},"category":"Lu"},{"key":"005A","mappings":{"default":{"default":"mayúscula Z"}},"category":"Lu"}]
+"es/units/speed.js": 
+[{"locale":"es"},{"key":"kt","names":["kt","kt."],"mappings":{"default":{"default":"nudo"}},"category":"speed"},{"key":"mph","names":["mph"],"mappings":{"default":{"default":"millas por hora"}},"category":"speed"},{"key":"rpm","names":["rpm"],"mappings":{"default":{"default":"revoluciones por minuto"}},"category":"speed"},{"key":"kmh","names":["kmh"],"mappings":{"default":{"default":"kilómetros por hora"}},"category":"speed"}]
 ,
-"es/latin-upper-single-accent.js": 
-[{"locale":"es"},{"key":"00C0","mappings":{"default":{"default":"mayúscula A grave"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"mayúscula A aguda"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"mayúscula A acento circunflejo"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"mayúscula A con tilde"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"mayúscula A diéresis"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"mayúscula A con anillo"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"mayúscula C cedilla"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"mayúscula E grave"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"mayúscula E aguda"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"mayúscula E acento circunflejo"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"mayúscula E diéresis"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"mayúscula I grave"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"mayúscula I aguda"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"mayúscula I acento circumflejo"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"mayúscula I diéresis"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"mayúscula Ñ"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"mayúscula O grave"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"mayúscula O aguda"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"mayúscula O acento circunflejo"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"mayúscula O con tilde"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"mayúscula O diéresis"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"mayúscula U grave"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"mayúscula U aguda"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"mayúscula U acento circunflejo"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"mayúscula U diéresis"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"mayúscula Y aguda"}},"category":"Lu"},{"key":"0100","mappings":{"default":{"default":"mayúscula A barra"}},"category":"Lu"},{"key":"0102","mappings":{"default":{"default":"mayúscula A con breve"}},"category":"Lu"},{"key":"0104","mappings":{"default":{"default":"mayúscula A con ogonek"}},"category":"Lu"},{"key":"0106","mappings":{"default":{"default":"mayúscula C con agudo"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"mayúscula C con acento circunflejo"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"mayúscula C con punto arriba"}},"category":"Lu"},{"key":"010C","mappings":{"default":{"default":"mayúscula C con carón"}},"category":"Lu"},{"key":"010E","mappings":{"default":{"default":"mayúscula D con carón"}},"category":"Lu"},{"key":"0112","mappings":{"default":{"default":"mayúscula E barra"}},"category":"Lu"},{"key":"0116","mappings":{"default":{"default":"mayúscula E con punto arriba"}},"category":"Lu"},{"key":"0118","mappings":{"default":{"default":"mayúscula E con ogonek"}},"category":"Lu"},{"key":"011A","mappings":{"default":{"default":"mayúscula E con carón"}},"category":"Lu"},{"key":"011C","mappings":{"default":{"default":"mayúscula G con acento circunflejo"}},"category":"Lu"},{"key":"011E","mappings":{"default":{"default":"mayúscula G con breve"}},"category":"Lu"},{"key":"0120","mappings":{"default":{"default":"mayúscula G con punto arriba"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"mayúscula G con cedilla"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"mayúscula H con acento circunflejo"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"mayúscula I con tilde"}},"category":"Lu"},{"key":"012A","mappings":{"default":{"default":"mayúscula I barra"}},"category":"Lu"},{"key":"012E","mappings":{"default":{"default":"mayúscula I con ogonek"}},"category":"Lu"},{"key":"0130","mappings":{"default":{"default":"mayúscula I con punto arriba"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"mayúscula J con acento circunflejo"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"mayúscula K con cedilla"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"mayúscula L con agudo"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"mayúscula L con cedilla"}},"category":"Lu"},{"key":"013D","mappings":{"default":{"default":"mayúscula L con carón"}},"category":"Lu"},{"key":"013F","mappings":{"default":{"default":"mayúscula L con punto mediano"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"mayúscula N con agudo"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"mayúscula N con cedilla"}},"category":"Lu"},{"key":"0147","mappings":{"default":{"default":"mayúscula n con carón"}},"category":"Lu"},{"key":"014C","mappings":{"default":{"default":"mayúscula O barra"}},"category":"Lu"},{"key":"0150","mappings":{"default":{"default":"mayúscula O con doble acento agudo "}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"mayúscula R con agudo"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"mayúscula R con cedilla"}},"category":"Lu"},{"key":"0158","mappings":{"default":{"default":"mayúscula R con carón"}},"category":"Lu"},{"key":"015A","mappings":{"default":{"default":"mayúscula S con agudo"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"mayúscula S con acento circunflejo"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"mayúscula S con cedilla"}},"category":"Lu"},{"key":"0160","mappings":{"default":{"default":"mayúscula S con carón"}},"category":"Lu"},{"key":"0162","mappings":{"default":{"default":"mayúscula T con cedilla"}},"category":"Lu"},{"key":"0164","mappings":{"default":{"default":"mayúscula T con carón"}},"category":"Lu"},{"key":"0168","mappings":{"default":{"default":"mayúscula U con tilde"}},"category":"Lu"},{"key":"016A","mappings":{"default":{"default":"mayúscula U barra"}},"category":"Lu"},{"key":"016C","mappings":{"default":{"default":"mayúscula U con breve"}},"category":"Lu"},{"key":"016E","mappings":{"default":{"default":"mayúscula U con anillo arriba"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"mayúscula U con doble acento agudo"}},"category":"Lu"},{"key":"0172","mappings":{"default":{"default":"mayúscula U con ogonek"}},"category":"Lu"},{"key":"0174","mappings":{"default":{"default":"mayúscula W con acento circunflejo"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"mayúscula Y con circunflejo"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"mayúscula Y diéresis"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"mayúscula Z con agudo"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"mayúscula Z con punto"}},"category":"Lu"},{"key":"017D","mappings":{"default":{"default":"mayúscula Z con carón"}},"category":"Lu"},{"key":"1E00","mappings":{"default":{"default":"mayúscula A con anillo debajo"}},"category":"Lu"},{"key":"1E02","mappings":{"default":{"default":"mayúscula B con punto arriba"}},"category":"Lu"},{"key":"1E04","mappings":{"default":{"default":"mayúscula B con punto debajo"}},"category":"Lu"},{"key":"1E06","mappings":{"default":{"default":"mayúscula B con línea debajo"}},"category":"Lu"},{"key":"1E0A","mappings":{"default":{"default":"mayúscula D con punto arriba"}},"category":"Lu"},{"key":"1E0C","mappings":{"default":{"default":"mayúscula D con punto debajo"}},"category":"Lu"},{"key":"1E0E","mappings":{"default":{"default":"mayúscula D con línea debajo"}},"category":"Lu"},{"key":"1E10","mappings":{"default":{"default":"mayúscula D con cedilla"}},"category":"Lu"},{"key":"1E12","mappings":{"default":{"default":"mayúscula D con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E18","mappings":{"default":{"default":"mayúscula E con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E1A","mappings":{"default":{"default":"mayúscula E con tilde debajo"}},"category":"Lu"},{"key":"1E1E","mappings":{"default":{"default":"mayúscula F con punto arriba"}},"category":"Lu"},{"key":"1E20","mappings":{"default":{"default":"mayúscula G con macrón"}},"category":"Lu"},{"key":"1E22","mappings":{"default":{"default":"mayúscula H con punto arriba"}},"category":"Lu"},{"key":"1E24","mappings":{"default":{"default":"mayúscula H con punto debajo"}},"category":"Lu"},{"key":"1E26","mappings":{"default":{"default":"mayúscula H con diéresis"}},"category":"Lu"},{"key":"1E28","mappings":{"default":{"default":"mayúscula H con cedilla"}},"category":"Lu"},{"key":"1E2A","mappings":{"default":{"default":"mayúscula H con breve debajo"}},"category":"Lu"},{"key":"1E2C","mappings":{"default":{"default":"mayúscula I con tilde debajo"}},"category":"Lu"},{"key":"1E30","mappings":{"default":{"default":"mayúscula K con agudo"}},"category":"Lu"},{"key":"1E32","mappings":{"default":{"default":"mayúscula K con punto debajo"}},"category":"Lu"},{"key":"1E34","mappings":{"default":{"default":"mayúscula K con línea debajo"}},"category":"Lu"},{"key":"1E36","mappings":{"default":{"default":"mayúscula L con punto debajo"}},"category":"Lu"},{"key":"1E3A","mappings":{"default":{"default":"mayúscula L con línea debajo"}},"category":"Lu"},{"key":"1E3C","mappings":{"default":{"default":"mayúscula L con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E3E","mappings":{"default":{"default":"mayúscula M con agudo"}},"category":"Lu"},{"key":"1E40","mappings":{"default":{"default":"mayúscula M con punto arriba"}},"category":"Lu"},{"key":"1E42","mappings":{"default":{"default":"mayúscula M con punto debajo"}},"category":"Lu"},{"key":"1E44","mappings":{"default":{"default":"mayúscula N con punto arriba"}},"category":"Lu"},{"key":"1E46","mappings":{"default":{"default":"mayúscula N con punto debajo"}},"category":"Lu"},{"key":"1E48","mappings":{"default":{"default":"mayúscula N con línea debajo"}},"category":"Lu"},{"key":"1E4A","mappings":{"default":{"default":"mayúscula N con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E54","mappings":{"default":{"default":"mayúscula P con agudo"}},"category":"Lu"},{"key":"1E56","mappings":{"default":{"default":"mayúscula P con punto arriba"}},"category":"Lu"},{"key":"1E58","mappings":{"default":{"default":"mayúscula R con punto arriba"}},"category":"Lu"},{"key":"1E5A","mappings":{"default":{"default":"mayúscula R con punto debajo"}},"category":"Lu"},{"key":"1E5E","mappings":{"default":{"default":"mayúscula R con línea debajo"}},"category":"Lu"},{"key":"1E60","mappings":{"default":{"default":"mayúscula S con punto arriba"}},"category":"Lu"},{"key":"1E62","mappings":{"default":{"default":"mayúscula S con punto debajo"}},"category":"Lu"},{"key":"1E6A","mappings":{"default":{"default":"mayúscula T con punto arriba"}},"category":"Lu"},{"key":"1E6C","mappings":{"default":{"default":"mayúscula T con punto debajo"}},"category":"Lu"},{"key":"1E6E","mappings":{"default":{"default":"mayúscula T con línea debajo"}},"category":"Lu"},{"key":"1E70","mappings":{"default":{"default":"mayúscula T con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E72","mappings":{"default":{"default":"mayúscula U con diéresis debajo"}},"category":"Lu"},{"key":"1E74","mappings":{"default":{"default":"mayúscula U con tilde debajo"}},"category":"Lu"},{"key":"1E76","mappings":{"default":{"default":"mayúscula U con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E7C","mappings":{"default":{"default":"mayúscula V con tilde"}},"category":"Lu"},{"key":"1E7E","mappings":{"default":{"default":"mayúscula V con punto debajo"}},"category":"Lu"},{"key":"1E80","mappings":{"default":{"default":"mayúscula W con grave"}},"category":"Lu"},{"key":"1E82","mappings":{"default":{"default":"mayúscula W con agudo"}},"category":"Lu"},{"key":"1E84","mappings":{"default":{"default":"mayúscula W con diéresis"}},"category":"Lu"},{"key":"1E86","mappings":{"default":{"default":"mayúscula W con punto arriba"}},"category":"Lu"},{"key":"1E88","mappings":{"default":{"default":"mayúscula W con punto debajo"}},"category":"Lu"},{"key":"1E8A","mappings":{"default":{"default":"mayúscula X con punto arriba"}},"category":"Lu"},{"key":"1E8C","mappings":{"default":{"default":"mayúscula X con diéresis"}},"category":"Lu"},{"key":"1E8E","mappings":{"default":{"default":"mayúscula Y con punto arriba"}},"category":"Lu"},{"key":"1E90","mappings":{"default":{"default":"mayúscula Z con acento circunflejo"}},"category":"Lu"},{"key":"1E92","mappings":{"default":{"default":"mayúscula Z con punto debajo"}},"category":"Lu"},{"key":"1E94","mappings":{"default":{"default":"mayúscula Z with line below"}},"category":"Lu"},{"key":"1EA0","mappings":{"default":{"default":"mayúscula A con punto debajo"}},"category":"Lu"},{"key":"1EA2","mappings":{"default":{"default":"mayúscula A con gancho arriba"}},"category":"Lu"},{"key":"1EB8","mappings":{"default":{"default":"mayúscula E con punto debajo"}},"category":"Lu"},{"key":"1EBA","mappings":{"default":{"default":"mayúscula E con gancho arriba"}},"category":"Lu"},{"key":"1EBC","mappings":{"default":{"default":"mayúscula E con tilde"}},"category":"Lu"},{"key":"1EC8","mappings":{"default":{"default":"mayúscula I con gancho arriba"}},"category":"Lu"},{"key":"1ECA","mappings":{"default":{"default":"mayúscula I con punto debajo"}},"category":"Lu"},{"key":"1ECC","mappings":{"default":{"default":"mayúscula O con punto debajo"}},"category":"Lu"},{"key":"1ECE","mappings":{"default":{"default":"mayúscula O con gancho arriba"}},"category":"Lu"},{"key":"1EE4","mappings":{"default":{"default":"mayúscula U con punto debajo"}},"category":"Lu"},{"key":"1EE6","mappings":{"default":{"default":"mayúscula U con gancho arriba"}},"category":"Lu"},{"key":"1EF2","mappings":{"default":{"default":"mayúscula Y con grave"}},"category":"Lu"},{"key":"1EF4","mappings":{"default":{"default":"mayúscula Y con punto debajo"}},"category":"Lu"},{"key":"1EF6","mappings":{"default":{"default":"mayúscula Y con gancho arriba"}},"category":"Lu"},{"key":"1EF8","mappings":{"default":{"default":"mayúscula Y con tilde"}},"category":"Lu"}]
+"es/units/temperature.js": 
+[{"locale":"es"},{"key":"F","names":["F","F.","°F"],"mappings":{"default":{"default":"Fahrenheit"}},"category":"temperature"},{"key":"C","names":["C","°C"],"mappings":{"default":{"default":"centígrados"}},"category":"temperature"},{"key":"K","names":["K","°K"],"mappings":{"default":{"default":"Kelvin"}},"category":"temperature"}]
 ,
-"es/math_angles.js": 
-[{"locale":"es"},{"key":"22BE","mappings":{"default":{"default":"ángulo recto con arco"}},"category":"Sm"},{"key":"237C","mappings":{"default":{"default":"ángulo recto con flecha zigzag hacia abajo"}},"category":"Sm"},{"key":"27C0","mappings":{"default":{"default":"ángulo sólido"}},"category":"Sm"},{"key":"299D","mappings":{"default":{"default":"ángulo recto medido con punto"}},"category":"Sm"},{"key":"29A4","mappings":{"default":{"default":"ángulo con barra inferior"}},"category":"Sm"},{"key":"29A5","mappings":{"default":{"default":"ángulo inverso con barra inferior"}},"category":"Sm"},{"key":"29A6","mappings":{"default":{"default":"ángulo oblicuo hacia arriba"}},"category":"Sm"},{"key":"29A7","mappings":{"default":{"default":"ángulo oblicuo hacia abajo"}},"category":"Sm"},{"key":"29A8","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the right"}},"category":"Sm"},{"key":"29A9","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the left"}},"category":"Sm"},{"key":"29AA","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the right"}},"category":"Sm"},{"key":"29AB","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the left"}},"category":"Sm"},{"key":"29AC","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"category":"Sm"},{"key":"29AD","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"category":"Sm"},{"key":"29AE","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"category":"Sm"},{"key":"29AF","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"category":"Sm"}]
+"es/units/time.js": 
+[{"locale":"es"},{"key":"ns","names":["ns"],"mappings":{"default":{"default":"nanosegundos"}},"category":"time"},{"key":"µs","names":["µs"],"mappings":{"default":{"default":"microsegundos"}},"category":"time"},{"key":"ms","names":["ms"],"mappings":{"default":{"default":"milisegundos"}},"category":"time"},{"key":"s","names":["s"],"mappings":{"default":{"default":"segundos"}},"category":"time"},{"key":"min","names":["min"],"mappings":{"default":{"default":"minutos"}},"category":"time"},{"key":"h","names":["h","hr"],"mappings":{"default":{"default":"hora"}},"category":"time"}]
 ,
-"es/math_arrows.js": 
-[{"locale":"es"},{"key":"2190","mappings":{"default":{"default":"flecha izquierda"}},"category":"Sm"},{"key":"2191","mappings":{"default":{"default":"flecha arriba"}},"category":"Sm"},{"key":"2192","mappings":{"default":{"default":"flecha derecha","defaultMP":"flecha"}},"category":"Sm"},{"key":"2193","mappings":{"default":{"default":"flecha abajo"}},"category":"Sm"},{"key":"2194","mappings":{"default":{"default":"flecha izquierda y derecha"}},"category":"Sm"},{"key":"2195","mappings":{"default":{"default":"flecha arriba y abajo"}},"category":"So"},{"key":"2196","mappings":{"default":{"default":"flecha a noroeste"}},"category":"So"},{"key":"2197","mappings":{"default":{"default":"flecha a nordeste"}},"category":"So"},{"key":"2198","mappings":{"default":{"default":"flecha a sureste"}},"category":"So"},{"key":"2199","mappings":{"default":{"default":"flecha a suroeste"}},"category":"So"},{"key":"219A","mappings":{"default":{"default":"flecha izquierda tachada"}},"category":"Sm"},{"key":"219B","mappings":{"default":{"default":"flecha tachada"}},"category":"Sm"},{"key":"219C","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"219D","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"219E","mappings":{"default":{"default":"flecha izquierda con doble punta"}},"category":"So"},{"key":"219F","mappings":{"default":{"default":"flecha con doble punta hacia arriba"}},"category":"So"},{"key":"21A0","mappings":{"default":{"default":"flecha derechaa con doble punta"}},"category":"Sm"},{"key":"21A1","mappings":{"default":{"default":"flecha con doble punta hacia abajo"}},"category":"So"},{"key":"21A2","mappings":{"default":{"default":"flecha izquierda con cola"}},"category":"So"},{"key":"21A3","mappings":{"default":{"default":"flecha derecha con cola"}},"category":"Sm"},{"key":"21A4","mappings":{"default":{"default":"flecha izquierda de barra"}},"category":"So"},{"key":"21A5","mappings":{"default":{"default":"barra con flecha"}},"category":"So"},{"key":"21A6","mappings":{"default":{"default":"flecha derecha de barra"}},"category":"Sm"},{"key":"21A7","mappings":{"default":{"default":"flecha con barra"}},"category":"So"},{"key":"21A8","mappings":{"default":{"default":"flecha arriba y abajo con base"}},"category":"So"},{"key":"21A9","mappings":{"default":{"default":"flecha izquierda con gancho"}},"category":"So"},{"key":"21AA","mappings":{"default":{"default":"flecha con gancho"}},"category":"So"},{"key":"21AB","mappings":{"default":{"default":"flecha izquierda con lazo"}},"category":"So"},{"key":"21AC","mappings":{"default":{"default":"flecha con lazo"}},"category":"So"},{"key":"21AD","mappings":{"default":{"default":"flecha ondulada izquierda y derecha"}},"category":"So"},{"key":"21AE","mappings":{"default":{"default":"flecha izquierda y derecha tachada"}},"category":"Sm"},{"key":"21AF","mappings":{"default":{"default":"flecha zigzag abajo"}},"category":"So"},{"key":"21B0","mappings":{"default":{"default":"flecha arriba con punta izquierda"}},"category":"So"},{"key":"21B1","mappings":{"default":{"default":"flecha arriba con punta derecha"}},"category":"So"},{"key":"21B2","mappings":{"default":{"default":"flecha abajo con punta izquierda"}},"category":"So"},{"key":"21B3","mappings":{"default":{"default":"flecha abajo con punta derecha"}},"category":"So"},{"key":"21B4","mappings":{"default":{"default":"flecha derecha desde esquina inferior"}},"category":"So"},{"key":"21B5","mappings":{"default":{"default":"flecha hacia abajo desde esquina izquierda"}},"category":"So"},{"key":"21B6","mappings":{"default":{"default":"flecha semicircular superior en sentido antihorario"}},"category":"So"},{"key":"21B7","mappings":{"default":{"default":"flecha semicircular superior en sentido horario"}},"category":"So"},{"key":"21B8","mappings":{"default":{"default":"flecha noroeste a barra larga"}},"category":"So"},{"key":"21B9","mappings":{"default":{"default":"flecha izquierda a barra arriba de flecha derecha a barra"}},"category":"So"},{"key":"21BA","mappings":{"default":{"default":"flecha circular abierta en sentido antihorario"}},"category":"So"},{"key":"21BB","mappings":{"default":{"default":"flecha circular abierta en sentido horario"}},"category":"So"},{"key":"21C4","mappings":{"default":{"default":"flecha derecha arriba de flecha izquierda"}},"category":"So"},{"key":"21C5","mappings":{"default":{"default":"flecha arriba a la izquierda de flecha abajo"}},"category":"So"},{"key":"21C6","mappings":{"default":{"default":"flecha izquierda arriba de flecha derecha"}},"category":"So"},{"key":"21C7","mappings":{"default":{"default":"dos flechas hacia la izquierda"}},"category":"So"},{"key":"21C8","mappings":{"default":{"default":"dos flechas hacia arriba"}},"category":"So"},{"key":"21C9","mappings":{"default":{"default":"dos flechas"}},"category":"So"},{"key":"21CA","mappings":{"default":{"default":"dos flechas hacia abajo"}},"category":"So"},{"key":"21CD","mappings":{"default":{"default":"flecha doble izquierda tachada"}},"category":"So"},{"key":"21CE","mappings":{"default":{"default":"flecha doble izquierda y derecha tachada"}},"category":"Sm"},{"key":"21CF","mappings":{"default":{"default":"flecha doble tachada"}},"category":"Sm"},{"key":"21D0","mappings":{"default":{"default":"flecha doble hacia la izquierda"}},"category":"So"},{"key":"21D1","mappings":{"default":{"default":"flecha doble hacia arriba"}},"category":"So"},{"key":"21D2","mappings":{"default":{"default":"flecha doble"}},"category":"Sm"},{"key":"21D3","mappings":{"default":{"default":"flecha doble hacia abajo"}},"category":"So"},{"key":"21D4","mappings":{"default":{"default":"flecha doble izquierda-derecha"}},"category":"Sm"},{"key":"21D5","mappings":{"default":{"default":"flecha doble vertical"}},"category":"So"},{"key":"21D6","mappings":{"default":{"default":"flecha doble hacia noroeste"}},"category":"So"},{"key":"21D7","mappings":{"default":{"default":"flecha doble hacia nordeste"}},"category":"So"},{"key":"21D8","mappings":{"default":{"default":"flecha doble hacia sudeste"}},"category":"So"},{"key":"21D9","mappings":{"default":{"default":"flecha doble hacia sudoeste"}},"category":"So"},{"key":"21DA","mappings":{"default":{"default":"flecha triple izquierda"}},"category":"So"},{"key":"21DB","mappings":{"default":{"default":"flecha triple"}},"category":"So"},{"key":"21DC","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"21DD","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"21DE","mappings":{"default":{"default":"flecha hacia arriba con doble tachado"}},"category":"So"},{"key":"21DF","mappings":{"default":{"default":"flecha hacia abajo con doble tachado"}},"category":"So"},{"key":"21E0","mappings":{"default":{"default":"flecha de puntos hacia la izquierda"}},"category":"So"},{"key":"21E1","mappings":{"default":{"default":"flecha de puntos hacia arriba"}},"category":"So"},{"key":"21E2","mappings":{"default":{"default":"flecha de puntos"}},"category":"So"},{"key":"21E3","mappings":{"default":{"default":"flecha de puntos hacia abajo"}},"category":"So"},{"key":"21E4","mappings":{"default":{"default":"flecha izquierda a barra"}},"category":"So"},{"key":"21E5","mappings":{"default":{"default":"flecha derecha a barra"}},"category":"So"},{"key":"21E6","mappings":{"default":{"default":"flecha vacía hacia la izquierda"}},"category":"So"},{"key":"21E7","mappings":{"default":{"default":"flecha vacía hacia arriba"}},"category":"So"},{"key":"21E8","mappings":{"default":{"default":"flecha vacía"}},"category":"So"},{"key":"21E9","mappings":{"default":{"default":"flecha vacía hacia abajo"}},"category":"So"},{"key":"21EA","mappings":{"default":{"default":"flecha vacía hacia arriba desde barra"}},"category":"So"},{"key":"21F5","mappings":{"default":{"default":"upwards arrow to the right of downwards arrow"}},"category":"Sm"},{"key":"21FD","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FE","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FF","mappings":{"default":{"default":"flecha izquierda derecha con punta vacía"}},"category":"Sm"},{"key":"27F0","mappings":{"default":{"default":"flecha cuádruple hacia arriba"}},"category":"Sm"},{"key":"27F1","mappings":{"default":{"default":"flecha cuádruple hacia abajo"}},"category":"Sm"},{"key":"27F2","mappings":{"default":{"default":"flecha hacia la izquierda desde círculo"}},"category":"Sm"},{"key":"27F3","mappings":{"default":{"default":"flecha hacia la derecha desde círculo"}},"category":"Sm"},{"key":"27F4","mappings":{"default":{"default":"flecha con más en círculo"}},"category":"Sm"},{"key":"27F5","mappings":{"default":{"default":"flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F6","mappings":{"default":{"default":"flecha larga"}},"category":"Sm"},{"key":"27F7","mappings":{"default":{"default":"flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27F8","mappings":{"default":{"default":"doble flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F9","mappings":{"default":{"default":"doble flecha larga"}},"category":"Sm"},{"key":"27FA","mappings":{"default":{"default":"doble flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27FB","mappings":{"default":{"default":"flecha larga hacia la izquierda, desde barra"}},"category":"Sm"},{"key":"27FC","mappings":{"default":{"default":"flecha larga desde barra"}},"category":"Sm"},{"key":"27FD","mappings":{"default":{"default":"doble flecha larga hacia la izquierda desde barra"}},"category":"Sm"},{"key":"27FE","mappings":{"default":{"default":"doble flecha larga desde barra"}},"category":"Sm"},{"key":"27FF","mappings":{"default":{"default":"flecha larga en zigzag"}},"category":"Sm"},{"key":"2905","mappings":{"default":{"default":"rightwards two headed arrow from bar"}},"category":"Sm"},{"key":"290C","mappings":{"default":{"default":"leftwards double dash arrow"}},"category":"Sm"},{"key":"290D","mappings":{"default":{"default":"rightwards double dash arrow"}},"category":"Sm"},{"key":"290E","mappings":{"default":{"default":"leftwards triple dash arrow"}},"category":"Sm"},{"key":"290F","mappings":{"default":{"default":"rightwards triple dash arrow"}},"category":"Sm"},{"key":"2910","mappings":{"default":{"default":"rightwards two headed triple dash arrow"}},"category":"Sm"},{"key":"2911","mappings":{"default":{"default":"rightwards arrow with dotted stem"}},"category":"Sm"},{"key":"2912","mappings":{"default":{"default":"upwards arrow to bar"}},"category":"Sm"},{"key":"2913","mappings":{"default":{"default":"downwards arrow to bar"}},"category":"Sm"},{"key":"2916","mappings":{"default":{"default":"rightwards two headed arrow with tail"}},"category":"Sm"},{"key":"2919","mappings":{"default":{"default":"cola de flecha hacia la izquierda"}},"category":"Sm"},{"key":"291B","mappings":{"default":{"default":"cola de doble flecha hacia la izquierda"}},"category":"Sm"},{"key":"291C","mappings":{"default":{"default":"cola de doble flecha hacia la derecha"}},"category":"Sm"},{"key":"291D","mappings":{"default":{"default":"flecha hacia diamante relleno a la izquierda"}},"category":"Sm"},{"key":"291E","mappings":{"default":{"default":"flecha hacia diamante a la derecha"}},"category":"Sm"},{"key":"291F","mappings":{"default":{"default":"flecha desde barra hacia diamante a la izquierda"}},"category":"Sm"},{"key":"2920","mappings":{"default":{"default":"flecha desde barra hacia diamante a la derecha"}},"category":"Sm"},{"key":"2923","mappings":{"default":{"default":"flecha a noroeste con garfio"}},"category":"Sm"},{"key":"2924","mappings":{"default":{"default":"flecha a nordeste con garfio"}},"category":"Sm"},{"key":"2925","mappings":{"default":{"default":"flecha a sureste con garfio"}},"category":"Sm"},{"key":"2926","mappings":{"default":{"default":"flecha a suroeste con garfio"}},"category":"Sm"},{"key":"2927","mappings":{"default":{"default":"flechas a noroeste y nordeste"}},"category":"Sm"},{"key":"2928","mappings":{"default":{"default":"flechas a nordeste y sudeste"}},"category":"Sm"},{"key":"2929","mappings":{"default":{"default":"flechas a suddeste y sudoeste"}},"category":"Sm"},{"key":"292A","mappings":{"default":{"default":"flechas a sudoeste y noroeste"}},"category":"Sm"},{"key":"2933","mappings":{"default":{"default":"flecha ondulada"}},"category":"Sm"},{"key":"2935","mappings":{"default":{"default":"flecha hacia la derecha que gira hacia abajo"}},"category":"Sm"},{"key":"2936","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la izquierda"}},"category":"Sm"},{"key":"2937","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la derecha"}},"category":"Sm"},{"key":"2938","mappings":{"default":{"default":"flecha semicircular a la derecha en sentido horario"}},"category":"Sm"},{"key":"2939","mappings":{"default":{"default":"flecha semicircular a la izquierda en sentido antihorario"}},"category":"Sm"},{"key":"293C","mappings":{"default":{"default":"giro negativo"}},"category":"Sm"},{"key":"293D","mappings":{"default":{"default":"giro positivo"}},"category":"Sm"},{"key":"2945","mappings":{"default":{"default":"flecha con más suscrito"}},"category":"Sm"},{"key":"2948","mappings":{"default":{"default":"flecha hacia la izquierda a través de círculo"}},"category":"Sm"},{"key":"2949","mappings":{"default":{"default":"dos cabezas de flecha hacia arriba desde círculo"}},"category":"Sm"},{"key":"2970","mappings":{"default":{"default":"round implies"}},"category":"Sm"},{"key":"2971","mappings":{"default":{"default":"flecha con igual"}},"category":"Sm"},{"key":"2972","mappings":{"default":{"default":"flecha con tilde"}},"category":"Sm"},{"key":"2973","mappings":{"default":{"default":"tilde con flecha hacia la izquierda"}},"category":"Sm"},{"key":"2974","mappings":{"default":{"default":"tilde con flecha"}},"category":"Sm"},{"key":"2975","mappings":{"default":{"default":"flecha con casi igual a"}},"category":"Sm"},{"key":"2976","mappings":{"default":{"default":"flecha hacia la izquierda con menor que"}},"category":"Sm"},{"key":"2978","mappings":{"default":{"default":"flecha con mayor que"}},"category":"Sm"},{"key":"2979","mappings":{"default":{"default":"flecha hacia la izquierda con incluido"}},"category":"Sm"},{"key":"297B","mappings":{"default":{"default":"flecha hacia la izquierda con contiene"}},"category":"Sm"},{"key":"29B3","mappings":{"default":{"default":"conjunto vacío con flecha"}},"category":"Sm"},{"key":"29B4","mappings":{"default":{"default":"conjunto vacío con flecha inversa"}},"category":"Sm"},{"key":"2A17","mappings":{"default":{"default":"integral con flecha hacia la izquierda con garfio"}},"category":"Sm"}]
+"es/units/volume.js": 
+[{"locale":"es"},{"key":"bbl","names":["bbl.","bbl"],"mappings":{"default":{"default":"barrile"}},"category":"volume"},{"key":"cu","names":["cu","cu."],"mappings":{"default":{"default":"cúbico"}},"category":"volume"},{"key":"fl. oz.","names":["fl. oz."],"mappings":{"default":{"default":"onzas líquidas"}},"category":"volume"},{"key":"gal","names":["gal","gal."],"mappings":{"default":{"default":"galone"}},"category":"volume"},{"key":"pt","names":["pt","pt."],"mappings":{"default":{"default":"pinta"}},"category":"volume"},{"key":"qt","names":["qt","qt."],"mappings":{"default":{"default":"quart"}},"category":"volume"},{"key":"tbsp","names":["tbsp","tbsp."],"mappings":{"default":{"default":"cuchara"}},"category":"volume"},{"key":"tsp","names":["tsp","tsp."],"mappings":{"default":{"default":"cucharilla"}},"category":"volume"},{"key":"cc","names":["cc"],"mappings":{"default":{"default":"centímetros cúbicos"}},"category":"volume"},{"key":"kl","names":["kl"],"mappings":{"default":{"default":"kilolitro"}},"category":"volume"},{"key":"l","names":["l"],"mappings":{"default":{"default":"litro"}},"category":"volume"},{"key":"ml","names":["ml"],"mappings":{"default":{"default":"mililitro"}},"category":"volume"}]
 ,
-"es/math_characters.js": 
-[{"locale":"es"},{"key":"2113","mappings":{"default":{"default":"script l"}},"category":"Ll"},{"key":"2118","mappings":{"default":{"default":"p de weierstrass"}},"category":"Sm"},{"key":"2145","mappings":{"default":{"default":"mayúscula D"}},"category":"Lu"},{"key":"2146","mappings":{"default":{"default":"d"}},"category":"Ll"},{"key":"2147","mappings":{"default":{"default":"e"}},"category":"Ll"},{"key":"2148","mappings":{"default":{"default":"i"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"cursiva dotless i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"cursiva dotless j"}},"key":"1D6A5"}]
+"es/units/weight.js": 
+[{"locale":"es"},{"key":"lb","names":["lb","lb."],"mappings":{"default":{"default":"libra"}},"category":"weight"},{"key":"LT","names":["LT","L.T."],"mappings":{"default":{"default":"libras imperiales"}},"category":"weight"},{"key":"oz","names":["oz","oz."],"mappings":{"default":{"default":"onza"}},"category":"weight"},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"microgramo"}},"category":"weight"},{"key":"gr","names":["g","gr"],"mappings":{"default":{"default":"gramo"}},"category":"weight"},{"key":"kg","names":["kg"],"mappings":{"default":{"default":"kilogramo"}},"category":"weight"},{"key":"mg","names":["mg"],"mappings":{"default":{"default":"miligramo"}},"category":"weight"},{"key":"t","names":["t","T"],"mappings":{"default":{"default":"tonelada"}},"category":"weight"}]
 ,
-"es/math_delimiters.js": 
-[{"locale":"es"},{"key":"0028","mappings":{"default":{"default":"paréntesis izquierdo","defaultMP":"paréntesis"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"paréntesis derecho","defaultMP":"cierra paréntesis"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"corchete izquierdo","defaultMP":"abre corchetes"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"corchete derecho","defaultMP":"cierra corchetes"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"llave izquierda","defaultMP":"abre llaves"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"llaves derecha","defaultMP":"cierra llaves"}},"category":"Pe"},{"key":"2308","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"Sm"},{"key":"2309","mappings":{"default":{"default":"esquina superior derecha"}},"category":"Sm"},{"key":"230A","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"Sm"},{"key":"230B","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"Sm"},{"key":"230C","mappings":{"default":{"default":"corte inferior derecho"}},"category":"So"},{"key":"230D","mappings":{"default":{"default":"corte inferior izquierdo"}},"category":"So"},{"key":"230E","mappings":{"default":{"default":"corte superior derecho "}},"category":"So"},{"key":"230F","mappings":{"default":{"default":"corte superior izquierdo"}},"category":"So"},{"key":"231C","mappings":{"default":{"default":"ángulo superior izquierdo"}},"category":"So"},{"key":"231D","mappings":{"default":{"default":"ángulo superior derecho"}},"category":"So"},{"key":"231E","mappings":{"default":{"default":"ángulo inferior izquierdo"}},"category":"So"},{"key":"231F","mappings":{"default":{"default":"ángulo inferior derecho"}},"category":"So"},{"key":"2320","mappings":{"default":{"default":"mitad superior de integral"}},"category":"Sm"},{"key":"2321","mappings":{"default":{"default":"mitad inferior de integral"}},"category":"Sm"},{"key":"2329","mappings":{"default":{"default":"paréntesis angular izquierdo"}},"category":"Ps"},{"key":"232A","mappings":{"default":{"default":"paréntesis angular derecho"}},"category":"Pe"},{"key":"23B0","mappings":{"default":{"default":"izquierda arriba o derecho debajo sección llave"}},"category":"Sm"},{"key":"23B1","mappings":{"default":{"default":"derecha arriba o izquierdo debajo sección llave"}},"category":"Sm"},{"key":"23B4","mappings":{"default":{"default":"corchete superior"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"corchete inferior"}},"category":"So"},{"key":"23DC","mappings":{"default":{"default":"paréntesis superior"}},"category":"Sm"},{"key":"23DD","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Sm"},{"key":"23DE","mappings":{"default":{"default":"corchete rizado superior"}},"category":"Sm"},{"key":"23DF","mappings":{"default":{"default":"corchete rizado inferior"}},"category":"Sm"},{"key":"23E0","mappings":{"default":{"default":"corchete superior en tortuga"}},"category":"Sm"},{"key":"23E1","mappings":{"default":{"default":"corchete inferior en tortuga"}},"category":"Sm"},{"key":"27C5","mappings":{"default":{"default":"símbolo delimitador izquierdo de bolsa de s-formó"}},"category":"Ps"},{"key":"27C6","mappings":{"default":{"default":"símbolo delimitador derecho de bolsa de s-formó"}},"category":"Pe"},{"key":"27E6","mappings":{"default":{"default":"corchete vacío izquierdo"}},"category":"Ps"},{"key":"27E7","mappings":{"default":{"default":"corchete vacío derecho"}},"category":"Pe"},{"key":"27E8","mappings":{"default":{"default":"corchete agudo izquierdo"}},"category":"Ps"},{"key":"27E9","mappings":{"default":{"default":"corchete agudo derecho"}},"category":"Pe"},{"key":"27EA","mappings":{"default":{"default":"doble corchete agudo izquierdo"}},"category":"Ps"},{"key":"27EB","mappings":{"default":{"default":"doble corchete agudo derecho"}},"category":"Pe"},{"key":"27EC","mappings":{"default":{"default":"corchete de tortuga vacío izquierdo"}},"category":"Ps"},{"key":"27ED","mappings":{"default":{"default":"corchete de tortuga vacío derecho "}},"category":"Pe"},{"key":"27EE","mappings":{"default":{"default":"paréntesis plano izquierdo"}},"category":"Ps"},{"key":"27EF","mappings":{"default":{"default":"paréntesis plano derecho"}},"category":"Pe"},{"key":"2985","mappings":{"default":{"default":"left white paren"}},"category":"Ps"},{"key":"2986","mappings":{"default":{"default":"right white paren"}},"category":"Pe"},{"key":"2989","mappings":{"default":{"default":"z notation left binding bracket"}},"category":"Ps"},{"key":"298A","mappings":{"default":{"default":"z notation right binding bracket"}},"category":"Pe"},{"key":"298B","mappings":{"default":{"default":"left bracket with underbar"}},"category":"Ps"},{"key":"298C","mappings":{"default":{"default":"right bracket with underbar"}},"category":"Pe"},{"key":"298D","mappings":{"default":{"default":"left bracket with tick in top corner"}},"category":"Ps"},{"key":"298E","mappings":{"default":{"default":"right bracket with tick in bottom corner"}},"category":"Pe"},{"key":"298F","mappings":{"default":{"default":"left bracket with tick in bottom corner"}},"category":"Ps"},{"key":"2990","mappings":{"default":{"default":"right bracket with tick in top corner"}},"category":"Pe"},{"key":"2991","mappings":{"default":{"default":"left angle bracket with dot"}},"category":"Ps"},{"key":"2992","mappings":{"default":{"default":"right angle bracket with dot"}},"category":"Pe"},{"key":"2993","mappings":{"default":{"default":"left arc less than bracket"}},"category":"Ps"},{"key":"2994","mappings":{"default":{"default":"right arc greater than bracket"}},"category":"Pe"},{"key":"2995","mappings":{"default":{"default":"double left arc greater than bracket"}},"category":"Ps"},{"key":"2996","mappings":{"default":{"default":"double right arc less than bracket"}},"category":"Pe"},{"key":"29DA","mappings":{"default":{"default":"left double wiggly fence"}},"category":"Ps"},{"key":"29DB","mappings":{"default":{"default":"right double wiggly fence"}},"category":"Pe"},{"key":"300A","mappings":{"default":{"default":"paréntesis angular doble"}},"category":"Ps"},{"key":"300B","mappings":{"default":{"default":"paréntesis angular doble derecho","defaultMP":"cierra paréntesis angular doble"}},"category":"Pe"},{"key":"3014","mappings":{"default":{"default":"left tortoise shell bracket"}},"category":"Ps"},{"key":"3015","mappings":{"default":{"default":"right tortoise shell bracket"}},"category":"Pe"},{"key":"301A","mappings":{"default":{"default":"corchete vacío"}},"category":"Ps"},{"key":"301B","mappings":{"default":{"default":"corchete vacío derecho","defaultMP":"cierra corchete vacío"}},"category":"Pe"},{"key":"301E","mappings":{"default":{"default":"segunda"}},"category":"Pe"},{"key":"FE35","mappings":{"default":{"default":"paréntesis superior"}},"category":"Ps"},{"key":"FE36","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Pe"},{"key":"FE37","mappings":{"default":{"default":"llave superior"}},"category":"Ps"},{"key":"FE38","mappings":{"default":{"default":"llave inferior"}},"category":"Pe"},{"key":"FE3F","mappings":{"default":{"default":"paréntesis angular superior"}},"category":"Ps"},{"key":"FE40","mappings":{"default":{"default":"paréntesis angular inferior"}},"category":"Pe"}]
+"fr/functions/algebra.js": 
+[{"locale":"fr"},{"category":"Algebra","mappings":{"default":{"default":"degré"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"déterminant"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphisme"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"noyau"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]
 ,
-"es/math_digits.js": 
-[{"locale":"es"},{"key":"00B2","mappings":{"default":{"default":"super 2"}},"category":"No"},{"key":"00B3","mappings":{"default":{"default":"super 3"}},"category":"No"},{"key":"00B9","mappings":{"default":{"default":"super 1"}},"category":"No"},{"key":"00BC","mappings":{"default":{"default":"un cuarto"}},"category":"No"},{"key":"00BD","mappings":{"default":{"default":"un medio"}},"category":"No"},{"key":"00BE","mappings":{"default":{"default":"tres cuartos"}},"category":"No"},{"key":"2153","mappings":{"default":{"default":"un tercio"}},"category":"No"},{"key":"2154","mappings":{"default":{"default":"dos tercios"}},"category":"No"},{"key":"2155","mappings":{"default":{"default":"un quinto"}},"category":"No"},{"key":"2156","mappings":{"default":{"default":"dos quintos"}},"category":"No"},{"key":"2157","mappings":{"default":{"default":"tres quintos"}},"category":"No"},{"key":"2158","mappings":{"default":{"default":"cuatro quintos"}},"category":"No"},{"key":"2159","mappings":{"default":{"default":"un sexto"}},"category":"No"},{"key":"215A","mappings":{"default":{"default":"cinco sextos"}},"category":"No"},{"key":"215B","mappings":{"default":{"default":"un octavo"}},"category":"No"},{"key":"215C","mappings":{"default":{"default":"tres octavos"}},"category":"No"},{"key":"215D","mappings":{"default":{"default":"cinco octavos"}},"category":"No"},{"key":"215E","mappings":{"default":{"default":"siete octavos"}},"category":"No"},{"category":"Nd","mappings":{"default":{"default":"negrita 0"}},"key":"1D7CE"},{"category":"Nd","mappings":{"default":{"default":"negrita 1"}},"key":"1D7CF"},{"category":"Nd","mappings":{"default":{"default":"negrita 2"}},"key":"1D7D0"},{"category":"Nd","mappings":{"default":{"default":"negrita 3"}},"key":"1D7D1"},{"category":"Nd","mappings":{"default":{"default":"negrita 4"}},"key":"1D7D2"},{"category":"Nd","mappings":{"default":{"default":"negrita 5"}},"key":"1D7D3"},{"category":"Nd","mappings":{"default":{"default":"negrita 6"}},"key":"1D7D4"},{"category":"Nd","mappings":{"default":{"default":"negrita 7"}},"key":"1D7D5"},{"category":"Nd","mappings":{"default":{"default":"negrita 8"}},"key":"1D7D6"},{"category":"Nd","mappings":{"default":{"default":"negrita 9"}},"key":"1D7D7"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 0"}},"key":"1D7D8"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 1"}},"key":"1D7D9"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 2"}},"key":"1D7DA"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 3"}},"key":"1D7DB"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 4"}},"key":"1D7DC"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 5"}},"key":"1D7DD"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 6"}},"key":"1D7DE"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 7"}},"key":"1D7DF"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 8"}},"key":"1D7E0"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 9"}},"key":"1D7E1"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 0"}},"key":"1D7E2"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 1"}},"key":"1D7E3"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 2"}},"key":"1D7E4"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 3"}},"key":"1D7E5"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 4"}},"key":"1D7E6"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 5"}},"key":"1D7E7"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 6"}},"key":"1D7E8"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 7"}},"key":"1D7E9"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 8"}},"key":"1D7EA"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 9"}},"key":"1D7EB"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 0"}},"key":"1D7EC"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 1"}},"key":"1D7ED"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 2"}},"key":"1D7EE"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 3"}},"key":"1D7EF"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 4"}},"key":"1D7F0"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 5"}},"key":"1D7F1"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 6"}},"key":"1D7F2"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 7"}},"key":"1D7F3"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 8"}},"key":"1D7F4"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 9"}},"key":"1D7F5"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 0"}},"key":"1D7F6"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 1"}},"key":"1D7F7"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 2"}},"key":"1D7F8"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 3"}},"key":"1D7F9"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 4"}},"key":"1D7FA"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 5"}},"key":"1D7FB"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 6"}},"key":"1D7FC"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 7"}},"key":"1D7FD"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 8"}},"key":"1D7FE"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 9"}},"key":"1D7FF"},{"category":"No","mappings":{"default":{"default":"0 punto"}},"key":"1F100"},{"category":"No","mappings":{"default":{"default":"0 coma"}},"key":"1F101"},{"category":"No","mappings":{"default":{"default":"1 coma"}},"key":"1F102"},{"category":"No","mappings":{"default":{"default":"2 coma"}},"key":"1F103"},{"category":"No","mappings":{"default":{"default":"3 coma"}},"key":"1F104"},{"category":"No","mappings":{"default":{"default":"4 coma"}},"key":"1F105"},{"category":"No","mappings":{"default":{"default":"5 coma"}},"key":"1F106"},{"category":"No","mappings":{"default":{"default":"6 coma"}},"key":"1F107"},{"category":"No","mappings":{"default":{"default":"7 coma"}},"key":"1F108"},{"category":"No","mappings":{"default":{"default":"8 coma"}},"key":"1F109"},{"category":"No","mappings":{"default":{"default":"9 coma"}},"key":"1F10A"}]
+"fr/functions/elementary.js": 
+[{"locale":"fr"},{"key":"log","mappings":{"default":{"default":"log"}},"category":"Logarithm","names":["log"]},{"key":"ln","mappings":{"default":{"default":"logarithme népérien"}},"category":"Logarithm","names":["ln"]},{"key":"lg","names":["lg"],"mappings":{"default":{"default":"logarithme décimal"}},"category":"Logarithm"},{"key":"exp","names":["exp","expt"],"mappings":{"default":{"default":"exponentielle"}},"category":"Elementary"},{"key":"gcd","names":["gcd","PGCD","pgcd"],"mappings":{"default":{"default":"plus grand commun diviseur"},"mathspeak":{"default":"pgcd"},"clearspeak":{"default":"pgcd"}},"category":"Elementary"},{"key":"lcm","names":["lcm","ppcm","PPCM","PPMC","ppmc"],"mappings":{"default":{"default":"plus petit commun multiple"},"mathspeak":{"default":"ppcm"},"clearspeak":{"default":"ppcm"}},"category":"Elementary"},{"key":"arg","names":["arg"],"mappings":{"default":{"default":"argument"}},"category":"Complex"},{"key":"im","names":["im"],"mappings":{"default":{"default":"partie imaginaire"}},"category":"Complex"},{"key":"re","names":["re"],"mappings":{"default":{"default":"partie réelle"}},"category":"Complex"},{"key":"inf","names":["inf"],"mappings":{"default":{"default":"borne inférieure"}},"category":"Limits"},{"key":"lim","mappings":{"default":{"default":"limite"}},"category":"Limits","names":["lim"]},{"key":"max","names":["max"],"mappings":{"default":{"default":"maximum"}},"category":"Limits"},{"key":"min","names":["min"],"mappings":{"default":{"default":"minimum"}},"category":"Limits"},{"key":"sup","names":["sup"],"mappings":{"default":{"default":"borne supérieure"}},"category":"Limits"},{"key":"lim inf","names":["lim inf","liminf"],"mappings":{"default":{"default":"limite inferior"}},"category":"Limits"},{"key":"lim sup","names":["lim sup","limsup"],"mappings":{"default":{"default":"limite superior"}},"category":"Limits"},{"key":"injlim","names":["injlim","inj lim"],"mappings":{"default":{"default":"limite inductive"}},"category":"Limits"},{"key":"projlim","names":["projlim","proj lim"],"mappings":{"default":{"default":"limite projective"}},"category":"Limits"},{"key":"mod","names":["mod"],"mappings":{"default":{"default":"modulo"}},"category":"Elementary"},{"key":"Pr","names":["Pr"],"mappings":{"default":{"default":"probabilité"}},"category":"Probability"}]
 ,
-"es/math_geometry.js": 
-[{"locale":"es"},{"key":"2500","mappings":{"default":{"default":"delimitador horizontal"}},"category":"So"},{"key":"2502","mappings":{"default":{"default":"delimitador vertical"}},"category":"So"},{"key":"250C","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"So"},{"key":"2510","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"So"},{"key":"2514","mappings":{"default":{"default":"esquina superior derecha"}},"category":"So"},{"key":"2518","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"So"},{"key":"251C","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal"}},"category":"So"},{"key":"2524","mappings":{"default":{"default":"delimitador derecho y separador horizontal"}},"category":"So"},{"key":"252C","mappings":{"default":{"default":"delimitador superior y separador vertical"}},"category":"So"},{"key":"2534","mappings":{"default":{"default":"delimitador inferior y separador vertical"}},"category":"So"},{"key":"253C","mappings":{"default":{"default":"cruce de separadores sencillos"}},"category":"So"},{"key":"2550","mappings":{"default":{"default":"delimitador horizontal doble"}},"category":"So"},{"key":"2551","mappings":{"default":{"default":"delimitador vertical doble"}},"category":"So"},{"key":"2552","mappings":{"default":{"default":"esquina inferior derecha, vertical doble"}},"category":"So"},{"key":"2553","mappings":{"default":{"default":"esquina inferior derecha, horizontal doble"}},"category":"So"},{"key":"2554","mappings":{"default":{"default":"esquina inferior derecha doble"}},"category":"So"},{"key":"2555","mappings":{"default":{"default":"esquina inferior izquierda, vertical doble"}},"category":"So"},{"key":"2556","mappings":{"default":{"default":"esquina inferior izquierda, horizontal doble"}},"category":"So"},{"key":"2557","mappings":{"default":{"default":"esquina inferior izquierda doble"}},"category":"So"},{"key":"2558","mappings":{"default":{"default":"esquina superior derecha, vertical doble"}},"category":"So"},{"key":"2559","mappings":{"default":{"default":"esquina superior derecha, horizontal doble"}},"category":"So"},{"key":"255A","mappings":{"default":{"default":"esquina superior derecha doble"}},"category":"So"},{"key":"255B","mappings":{"default":{"default":"esquina superior izquierda, vertical doble"}},"category":"So"},{"key":"255C","mappings":{"default":{"default":"esquina superior izquierda, horizontal doble"}},"category":"So"},{"key":"255D","mappings":{"default":{"default":"esquina superior izquierda doble"}},"category":"So"},{"key":"255E","mappings":{"default":{"default":"delimitador izquierdo con separador doble"}},"category":"So"},{"key":"255F","mappings":{"default":{"default":"delimitador izquierdo doble con separador horizontal"}},"category":"So"},{"key":"2560","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal dobles"}},"category":"So"},{"key":"2561","mappings":{"default":{"default":"delimitador derecho con separador doble"}},"category":"So"},{"key":"2562","mappings":{"default":{"default":"delimitador derecho doble con separador horizontal"}},"category":"So"},{"key":"2563","mappings":{"default":{"default":"delimitador derecho y separador horizontal dobles"}},"category":"So"},{"key":"2564","mappings":{"default":{"default":"delimitador superior doble con separador vertical"}},"category":"So"},{"key":"2565","mappings":{"default":{"default":"delimitador superior con separador vertical doble"}},"category":"So"},{"key":"2566","mappings":{"default":{"default":"delimitador superior y separador vertical dobles"}},"category":"So"},{"key":"2567","mappings":{"default":{"default":"delimitador inferior doble con separador vertical"}},"category":"So"},{"key":"2568","mappings":{"default":{"default":"delimitador inferior con separador vertical doble"}},"category":"So"},{"key":"2569","mappings":{"default":{"default":"delimitador inferior y separador vertical dobles"}},"category":"So"},{"key":"256A","mappings":{"default":{"default":"cruce de separadores, vertical sencillo y horizontal doble"}},"category":"So"},{"key":"256B","mappings":{"default":{"default":"cruce de separadores, vertical doble y horizontal sencillo"}},"category":"So"},{"key":"256C","mappings":{"default":{"default":"cruce de separadores dobles"}},"category":"So"},{"key":"2580","mappings":{"default":{"default":"bloque mitad superior"}},"category":"So"},{"key":"2584","mappings":{"default":{"default":"bloque mitad inferior"}},"category":"So"},{"key":"2588","mappings":{"default":{"default":"bloque"}},"category":"So"},{"key":"2591","mappings":{"default":{"default":"sombra ligera"}},"category":"So"},{"key":"2592","mappings":{"default":{"default":"sombra media"}},"category":"So"},{"key":"2593","mappings":{"default":{"default":"sombra intensa"}},"category":"So"},{"key":"25A0","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25A1","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"key":"25AA","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25AB","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"key":"25AD","mappings":{"default":{"default":"rectángulo"}},"category":"So"},{"key":"25AE","mappings":{"default":{"default":"rectángulo relleno vertical"}},"category":"So"},{"key":"25AF","mappings":{"default":{"default":"rectángulo vertical"}},"category":"So"},{"key":"25B1","mappings":{"default":{"default":"paralelogramo"}},"category":"So"},{"key":"25B2","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B3","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B4","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B5","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B6","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B7","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"Sm"},{"key":"25B8","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B9","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"So"},{"key":"25BC","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BD","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25BE","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BF","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25C0","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C1","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"Sm"},{"key":"25C2","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C3","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"So"},{"key":"25C4","mappings":{"default":{"default":"puntero relleno señala izquierda"}},"category":"So"},{"key":"25C5","mappings":{"default":{"default":"puntero señala izquierda"}},"category":"So"},{"key":"25C6","mappings":{"default":{"default":"diamante relleno"}},"category":"So"},{"key":"25C7","mappings":{"default":{"default":"diamante"}},"category":"So"},{"key":"25C8","mappings":{"default":{"default":"diamante vacío contiene diamante relleno"}},"category":"So"},{"key":"25C9","mappings":{"default":{"default":"ojo de pez"}},"category":"So"},{"key":"25CA","mappings":{"default":{"default":"rombo"}},"category":"So"},{"key":"25CB","mappings":{"default":{"default":"círculo vacío"}},"category":"So"},{"key":"25CC","mappings":{"default":{"default":"círculo punteado"}},"category":"So"},{"key":"25CD","mappings":{"default":{"default":"círculo con relleno vertical"}},"category":"So"},{"key":"25CE","mappings":{"default":{"default":"blanco"}},"category":"So"},{"key":"25CF","mappings":{"default":{"default":"círculo relleno"}},"category":"So"},{"key":"25D0","mappings":{"default":{"default":"círculo con mitad izquierda rellena"}},"category":"So"},{"key":"25D1","mappings":{"default":{"default":"círculo con mitad derecha rellena"}},"category":"So"},{"key":"25D2","mappings":{"default":{"default":"círculo con mitad inferior rellena"}},"category":"So"},{"key":"25D3","mappings":{"default":{"default":"círculo con mitad superior rellena"}},"category":"So"},{"key":"25D4","mappings":{"default":{"default":"círculo con cuadrante superior derecho relleno"}},"category":"So"},{"key":"25D5","mappings":{"default":{"default":"círculo con cuadrante superior izquierdo relleno"}},"category":"So"},{"key":"25D6","mappings":{"default":{"default":"semicírculo izquierdo relleno"}},"category":"So"},{"key":"25D7","mappings":{"default":{"default":"semicírculo derecho relleno"}},"category":"So"},{"key":"25D8","mappings":{"default":{"default":"bullet inversa"}},"category":"So"},{"key":"25D9","mappings":{"default":{"default":"círculo vacío inverso"}},"category":"So"},{"key":"25DA","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DB","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DC","mappings":{"default":{"default":"arco superior izquierda"}},"category":"So"},{"key":"25DD","mappings":{"default":{"default":"arco superior derecha"}},"category":"So"},{"key":"25DE","mappings":{"default":{"default":"arco inferior derecha"}},"category":"So"},{"key":"25DF","mappings":{"default":{"default":"arco inferior izquierda"}},"category":"So"},{"key":"25E0","mappings":{"default":{"default":"semicírculo superior"}},"category":"So"},{"key":"25E1","mappings":{"default":{"default":"semicírculo inferior"}},"category":"So"},{"key":"25E2","mappings":{"default":{"default":"triángulo inferior derecha relleno"}},"category":"So"},{"key":"25E3","mappings":{"default":{"default":"triángulo inferior izquierda relleno"}},"category":"So"},{"key":"25E4","mappings":{"default":{"default":"triángulo superior izquierda relleno"}},"category":"So"},{"key":"25E5","mappings":{"default":{"default":"triángulo superior derecha relleno"}},"category":"So"},{"key":"25E6","mappings":{"default":{"default":"composición"}},"category":"So"},{"key":"25E7","mappings":{"default":{"default":"cuadrado con mitad izquierda rellena"}},"category":"So"},{"key":"25E8","mappings":{"default":{"default":"cuadrado con mitad derecha rellena"}},"category":"So"},{"key":"25E9","mappings":{"default":{"default":"cuadrado con mitad superior izquierda rellena"}},"category":"So"},{"key":"25EA","mappings":{"default":{"default":"cuadrado con mitad inferior derecha rellena"}},"category":"So"},{"key":"25EB","mappings":{"default":{"default":"cuadrado con bisectriz"}},"category":"So"},{"key":"25EC","mappings":{"default":{"default":"triángulo vacío con punto"}},"category":"So"},{"key":"25ED","mappings":{"default":{"default":"triángulo apuntando arriba con mitad izquierda rellena"}},"category":"So"},{"key":"25EE","mappings":{"default":{"default":"triángulo apuntando arriba con mitad derecha rellena"}},"category":"So"},{"key":"25EF","mappings":{"default":{"default":"círculo grande"}},"category":"So"},{"key":"25F8","mappings":{"default":{"default":"triángulo superior izquierda"}},"category":"Sm"},{"key":"25F9","mappings":{"default":{"default":"triángulo superior derecha"}},"category":"Sm"},{"key":"25FA","mappings":{"default":{"default":"triángulo inferior izquierda"}},"category":"Sm"},{"key":"25FB","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FC","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FD","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FE","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FF","mappings":{"default":{"default":"triángulo inferior derecha"}},"category":"Sm"},{"key":"2B50","mappings":{"default":{"default":"estrella media vacía"}},"category":"So"},{"key":"2B51","mappings":{"default":{"default":"estrella pequeña rellena"}},"category":"So"},{"key":"2B52","mappings":{"default":{"default":"estrella pequeña vacía"}},"category":"So"}]
+"fr/functions/hyperbolic.js": 
+[{"locale":"fr"},{"key":"cosh","mappings":{"default":{"default":"cosinus hyperbolique"}},"category":"Hyperbolic","names":["cosh"]},{"key":"coth","mappings":{"default":{"default":"cotangente hyperbolique"}},"category":"Hyperbolic","names":["coth"]},{"key":"csch","mappings":{"default":{"default":"cosécante hyperbolique"}},"category":"Hyperbolic","names":["csch"]},{"key":"sech","mappings":{"default":{"default":"sécante hyperbolique"}},"category":"Hyperbolic","names":["sech"]},{"key":"sinh","mappings":{"default":{"default":"sinus hyperbolique"}},"category":"Hyperbolic","names":["sinh"]},{"key":"tanh","mappings":{"default":{"default":"tangente hyperbolique"}},"category":"Hyperbolic","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"argument cosinus hyperbolique"}},"key":"arcosh","names":["arcosh","arccosh","argch"]},{"category":"Area","mappings":{"default":{"default":"argument cotangente hyperbolique"}},"key":"arcoth","names":["arcoth","arccoth","argcoth"]},{"category":"Area","mappings":{"default":{"default":"argument cosécante hyperbolique"}},"key":"arcsch","names":["arcsch","arccsch","argcsch"]},{"category":"Area","mappings":{"default":{"default":"argument sécante hyperbolique"}},"key":"arsech","names":["arsech","arcsech","argsech"]},{"category":"Area","mappings":{"default":{"default":"argument sinus hyperbolique"}},"key":"arsinh","names":["arsinh","arcsinh","argsh"]},{"category":"Area","mappings":{"default":{"default":"argument tangente hyperbolique"}},"key":"artanh","names":["artanh","arctanh","argth"]}]
 ,
-"es/math_harpoons.js": 
-[{"locale":"es"},{"key":"21BC","mappings":{"default":{"default":"flecha izquierda con arpón arriba"}},"category":"So"},{"key":"21BD","mappings":{"default":{"default":"flecha izquierda con arpón debajo"}},"category":"So"},{"key":"21BE","mappings":{"default":{"default":"flecha arriba con arpón derecho"}},"category":"So"},{"key":"21BF","mappings":{"default":{"default":"flecha arriba con arpón izquierdo"}},"category":"So"},{"key":"21C0","mappings":{"default":{"default":"flecha derecha con arpón arriba"}},"category":"So"},{"key":"21C1","mappings":{"default":{"default":"flecha derecha con arpón debajo"}},"category":"So"},{"key":"21C2","mappings":{"default":{"default":"flecha abajo con arpón derecho"}},"category":"So"},{"key":"21C3","mappings":{"default":{"default":"flecha abajo con arpón izquierdo"}},"category":"So"},{"key":"21CB","mappings":{"default":{"default":"arpón izquierdo arriba de arpón derecho"}},"category":"So"},{"key":"21CC","mappings":{"default":{"default":"arpón derecho arriba de arpón izquierdo"}},"category":"So"},{"key":"294A","mappings":{"default":{"default":"left barb up right barb down harpoon"}},"category":"Sm"},{"key":"294B","mappings":{"default":{"default":"left barb down right barb up harpoon"}},"category":"Sm"},{"key":"294E","mappings":{"default":{"default":"left barb up right barb up harpoon"}},"category":"Sm"},{"key":"294F","mappings":{"default":{"default":"arpón a la derecha hacia arriba y abajo"}},"category":"Sm"},{"key":"2950","mappings":{"default":{"default":"left barb down right barb down harpoon"}},"category":"Sm"},{"key":"2951","mappings":{"default":{"default":"arpón a la izquierda hacia arriba y abajo"}},"category":"Sm"},{"key":"2952","mappings":{"default":{"default":"leftwards harpoon to bar with barb upwards"}},"category":"Sm"},{"key":"2953","mappings":{"default":{"default":"rightwards harpoon to bar with barb upwards"}},"category":"Sm"},{"key":"2954","mappings":{"default":{"default":"upwards harpoon to bar with barb rightwards"}},"category":"Sm"},{"key":"2955","mappings":{"default":{"default":"downwards harpoon to bar with barb rightwards"}},"category":"Sm"},{"key":"2956","mappings":{"default":{"default":"leftwards harpoon to bar with barb downwards"}},"category":"Sm"},{"key":"2957","mappings":{"default":{"default":"rightwards harpoon to bar with barb downwards"}},"category":"Sm"},{"key":"2958","mappings":{"default":{"default":"upwards harpoon to bar with barb leftwards"}},"category":"Sm"},{"key":"2959","mappings":{"default":{"default":"downwards harpoon to bar with barb leftwards"}},"category":"Sm"},{"key":"295A","mappings":{"default":{"default":"leftwards harpoon from bar with barb upwards"}},"category":"Sm"},{"key":"295B","mappings":{"default":{"default":"rightwards harpoon from bar with barb upwards"}},"category":"Sm"},{"key":"295C","mappings":{"default":{"default":"upwards harpoon from bar with barb rightwards"}},"category":"Sm"},{"key":"295D","mappings":{"default":{"default":"downwards harpoon from bar with barb rightwards"}},"category":"Sm"},{"key":"295E","mappings":{"default":{"default":"leftwards harpoon from bar with barb downwards"}},"category":"Sm"},{"key":"295F","mappings":{"default":{"default":"rightwards harpoon from bar with barb downwards"}},"category":"Sm"},{"key":"2960","mappings":{"default":{"default":"upwards harpoon from bar with barb leftwards"}},"category":"Sm"},{"key":"2961","mappings":{"default":{"default":"downwards harpoon from bar with barb leftwards"}},"category":"Sm"},{"key":"2962","mappings":{"default":{"default":"leftwards harpoon with barb up above leftwards harpoon with barb down"}},"category":"Sm"},{"key":"2963","mappings":{"default":{"default":"upwards harpoon with barb left beside upwards harpoon with barb right"}},"category":"Sm"},{"key":"2964","mappings":{"default":{"default":"rightwards harpoon with barb up above rightwards harpoon with barb down"}},"category":"Sm"},{"key":"2965","mappings":{"default":{"default":"downwards harpoon with barb left beside downwards harpoon with barb right"}},"category":"Sm"},{"key":"2966","mappings":{"default":{"default":"leftwards harpoon with barb up above rightwards harpoon with barb up"}},"category":"Sm"},{"key":"2967","mappings":{"default":{"default":"leftwards harpoon with barb down above rightwards harpoon with barb down"}},"category":"Sm"},{"key":"2968","mappings":{"default":{"default":"rightwards harpoon with barb up above leftwards harpoon with barb up"}},"category":"Sm"},{"key":"2969","mappings":{"default":{"default":"rightwards harpoon with barb down above leftwards harpoon with barb down"}},"category":"Sm"},{"key":"296A","mappings":{"default":{"default":"barra con arpón hacia la izquierda"}},"category":"Sm"},{"key":"296B","mappings":{"default":{"default":"arpón hacia la izquierda con barra"}},"category":"Sm"},{"key":"296C","mappings":{"default":{"default":"barra con arpón hacia la derecha"}},"category":"Sm"},{"key":"296D","mappings":{"default":{"default":"arpón hacia la derecha con barra"}},"category":"Sm"},{"key":"296E","mappings":{"default":{"default":"upwards harpoon to the left of downwards harpoon"}},"category":"Sm"},{"key":"296F","mappings":{"default":{"default":"upwards harpoon to the right of downwards harpoon"}},"category":"Sm"},{"key":"297C","mappings":{"default":{"default":"left fish tail"}},"category":"Sm"},{"key":"297D","mappings":{"default":{"default":"right fish tail"}},"category":"Sm"},{"key":"297E","mappings":{"default":{"default":"barra con doble gancho"}},"category":"Sm"},{"key":"297F","mappings":{"default":{"default":"down fish tail"}},"category":"Sm"}]
+"fr/functions/trigonometry.js": 
+[{"locale":"fr"},{"key":"cos","mappings":{"default":{"default":"cosinus"}},"category":"Trigonometric","names":["cos","cosine"]},{"key":"cot","mappings":{"default":{"default":"cotangente"}},"category":"Trigonometric","names":["cot"]},{"key":"csc","mappings":{"default":{"default":"cosécante"}},"category":"Trigonometric","names":["csc"]},{"key":"sec","mappings":{"default":{"default":"sécante"}},"category":"Trigonometric","names":["sec"]},{"key":"sin","mappings":{"default":{"default":"sinus"}},"category":"Trigonometric","names":["sin","sine"]},{"key":"tan","mappings":{"default":{"default":"tangente"}},"category":"Trigonometric","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosinus"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cotangente"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosécante"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc sécante"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc sinus"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc tangente"}},"key":"arctan","names":["arctan"]}]
 ,
-"es/math_non_characters.js": 
-[{"locale":"es"},{"key":"210F","mappings":{"default":{"default":"h barra"}},"category":"Ll"},{"key":"2116","mappings":{"default":{"default":"signo de número"}},"category":"So"},{"key":"2117","mappings":{"default":{"default":"derechos de autor de sonido"}},"category":"So"},{"key":"211E","mappings":{"default":{"default":"receta"}},"category":"So"},{"key":"2122","mappings":{"default":{"default":"registrado"}},"category":"So"},{"key":"2125","mappings":{"default":{"default":"onza"}},"category":"So"},{"key":"2126","mappings":{"default":{"default":"ohmio"}},"category":"Lu"},{"key":"2127","mappings":{"default":{"default":"ohmio invertido"}},"category":"So"},{"key":"212A","mappings":{"default":{"default":"grados kelvin"}},"category":"Lu"},{"key":"212B","mappings":{"default":{"default":"angstrom"}},"category":"Lu"},{"key":"2132","mappings":{"default":{"default":"mayúscula F invertida"}},"category":"Lu"}]
+"fr/symbols/digits_rest.js": 
+[{"locale":"fr"},{"key":"00B2","mappings":{"default":{"default":"au carré"},"mathspeak":{"default":"au carré"},"clearspeak":{"default":"au carré"}},"category":"No"},{"key":"00B3","mappings":{"default":{"default":"cubique"},"mathspeak":{"default":"cubique"},"clearspeak":{"default":"cubique"}},"category":"No"},{"key":"00BC","mappings":{"default":{"default":"un quart"}},"category":"No"},{"key":"00BD","mappings":{"default":{"default":"un demi"}},"category":"No"},{"key":"00BE","mappings":{"default":{"default":"trois quarts"}},"category":"No"},{"key":"2150","mappings":{"default":{"default":"un septième"}},"category":"No"},{"key":"2151","mappings":{"default":{"default":"un neuvième"}},"category":"No"},{"key":"2152","mappings":{"default":{"default":"un dixième"}},"category":"No"},{"key":"2153","mappings":{"default":{"default":"un tiers"}},"category":"No"},{"key":"2154","mappings":{"default":{"default":"deux tiers"}},"category":"No"},{"key":"2155","mappings":{"default":{"default":"un cinquième"}},"category":"No"},{"key":"2156","mappings":{"default":{"default":"deux cinquièmes"}},"category":"No"},{"key":"2157","mappings":{"default":{"default":"trois cinquièmes"}},"category":"No"},{"key":"2158","mappings":{"default":{"default":"quatre cinquièmes"}},"category":"No"},{"key":"2159","mappings":{"default":{"default":"un sixième"}},"category":"No"},{"key":"215A","mappings":{"default":{"default":"cinq sixièmes"}},"category":"No"},{"key":"215B","mappings":{"default":{"default":"un huitième"}},"category":"No"},{"key":"215C","mappings":{"default":{"default":"trois huitièmes"}},"category":"No"},{"key":"215D","mappings":{"default":{"default":"cinq huitièmes"}},"category":"No"},{"key":"215E","mappings":{"default":{"default":"sept huitièmes"}},"category":"No"},{"key":"215F","mappings":{"default":{"default":"numérateur un"}},"category":"No"},{"key":"2189","mappings":{"default":{"default":"zero tiers"}},"category":"No"},{"key":"3248","mappings":{"default":{"default":"dix cerclé sur carré noir"}},"category":"No"},{"key":"3249","mappings":{"default":{"default":"vingt cerclé sur carré noir"}},"category":"No"},{"key":"324A","mappings":{"default":{"default":"trente cerclé sur carré noir"}},"category":"No"},{"key":"324B","mappings":{"default":{"default":"quarante cerclé sur carré noir"}},"category":"No"},{"key":"324C","mappings":{"default":{"default":"cinquante cerclé sur carré noir"}},"category":"No"},{"key":"324D","mappings":{"default":{"default":"soixante cerclé sur carré noir"}},"category":"No"},{"key":"324E","mappings":{"default":{"default":"soixante dix cerclé sur carré noir"}},"category":"No"},{"key":"324F","mappings":{"default":{"default":"quatre vingts cerclé sur carré noir"}},"category":"No"}]
 ,
-"es/math_symbols.js": 
-[{"locale":"es"},{"key":"0021","mappings":{"default":{"default":"factorial"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"comillas"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"almuhadilla","defaultMP":"signo de número"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"dólar"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"porciento"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"ampersand"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"prima","defaultMP":"apóstrofo"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"por"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"más"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"coma"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"key":"002E","mappings":{"default":{"default":"punto"}},"category":"Po"},{"key":"002F","mappings":{"default":{"default":"barra oblicua"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"dos puntos"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"punto y coma"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"menor que"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"igual"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"mayor que"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"interrogación derecho","defaultMP":"cierra interrogación"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"arroba"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"barra inversa"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circunflejo"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"subrayado"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"acento grave"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"admiración izquierdo","defaultMP":"abre admiración"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"centavo"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"libra esterlina"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"moneda"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"barra vertical partida"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"sección"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"diéresis"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"ordinal femenino"}},"category":"Lo"},{"key":"00AB","mappings":{"default":{"default":"comillas angulares izquierda","defaultMP":"abre comillas angulares"}},"category":"Pi"},{"key":"00AC","mappings":{"default":{"default":"negación"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"registrado"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"barra"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"grado"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"más menos"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"acento agudo"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"micro"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"párrafo"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"punto medio"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"cedilla"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"ordinal masculino"}},"category":"Lo"},{"key":"00BB","mappings":{"default":{"default":"comillas angulares derecha","defaultMP":"cierra comillas angulares"}},"category":"Pf"},{"key":"00BF","mappings":{"default":{"default":"interrogación izquierdo","defaultMP":"abre interrogación"}},"category":"Po"},{"key":"00D7","mappings":{"default":{"default":"por"}},"category":"Sm"},{"key":"00F7","mappings":{"default":{"default":"dividido"}},"category":"Sm"},{"key":"02D8","mappings":{"default":{"default":"breve"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"punto en superescrito"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"anillo en superescrito"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"doble acento agudo"}},"category":"Sk"},{"key":"2010","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"key":"2013","mappings":{"default":{"default":"en raya"}},"category":"Pd"},{"key":"2014","mappings":{"default":{"default":"em raya"}},"category":"Pd"},{"key":"2015","mappings":{"default":{"default":"barra horizontal"}},"category":"Pd"},{"key":"2016","mappings":{"default":{"default":"doble barra vertical"}},"category":"Po"},{"key":"2018","mappings":{"default":{"default":"comilla izquierda"}},"category":"Pi"},{"key":"2019","mappings":{"default":{"default":"comilla derecha"}},"category":"Pf"},{"key":"201A","mappings":{"default":{"default":"comilla bajo 9"}},"category":"Ps"},{"key":"201C","mappings":{"default":{"default":"doble comilla"}},"category":"Pi"},{"key":"201D","mappings":{"default":{"default":"doble comilla derecha"}},"category":"Pf"},{"key":"201E","mappings":{"default":{"default":"doble comilla bajo 9"}},"category":"Ps"},{"key":"2020","mappings":{"default":{"default":"daga"}},"category":"Po"},{"key":"2021","mappings":{"default":{"default":"doble daga"}},"category":"Po"},{"key":"2022","mappings":{"default":{"default":"bala"}},"category":"Po"},{"key":"2025","mappings":{"default":{"default":"dos puntos líder"}},"category":"Po"},{"key":"2026","mappings":{"default":{"default":"puntos suspensivos"}},"category":"Po"},{"key":"2030","mappings":{"default":{"default":"tanto por millar"}},"category":"Po"},{"key":"2031","mappings":{"default":{"default":"tanto por diez mil"}},"category":"Po"},{"key":"2032","mappings":{"default":{"default":"prima"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"segunda"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"tercera"}},"category":"Po"},{"key":"2035","mappings":{"default":{"default":"acento grave"}},"category":"Po"},{"key":"2036","mappings":{"default":{"default":"doble acento grave"}},"category":"Po"},{"key":"2039","mappings":{"default":{"default":"comillas izquierda","defaultMP":"abre comillas"}},"category":"Pi"},{"key":"203A","mappings":{"default":{"default":"comillas derecha","defaultMP":"cierra comillas"}},"category":"Pf"},{"key":"203E","mappings":{"default":{"default":"barra superior"}},"category":"Po"},{"key":"2040","mappings":{"default":{"default":"ligadura"}},"category":"Pc"},{"key":"2041","mappings":{"default":{"default":"punto de inserción"}},"category":"Po"},{"key":"2043","mappings":{"default":{"default":"guión bala"}},"category":"Po"},{"key":"2044","mappings":{"default":{"default":"barra de fracción"}},"category":"Sm"},{"key":"204F","mappings":{"default":{"default":"punto y coma invertido"}},"category":"Po"},{"key":"2050","mappings":{"default":{"default":"cierre superior"}},"category":"Po"},{"key":"2057","mappings":{"default":{"default":"cuarta"}},"category":"Po"},{"key":"2200","mappings":{"default":{"default":"para todo"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"complementario"}},"category":"Sm"},{"key":"2202","mappings":{"default":{"default":"derivada parcial"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"existe"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"no existe"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"conjunto vacío"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"incremento"}},"category":"Sm"},{"key":"2207","mappings":{"default":{"default":"gradiente"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"no perteneciente a"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"no comprende a"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"fin de demostración"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"producto"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"sumatorio"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"menos más"}},"category":"Sm"},{"key":"2214","mappings":{"default":{"default":"punto más"}},"category":"Sm"},{"key":"2215","mappings":{"default":{"default":"barra de división"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"asterisco"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"composición"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"bala"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"raíz"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"raíz cúbica"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"raíz cuarta"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proporcional a"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"infinito"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"ángulo recto"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"ángulo"}},"category":"Sm"},{"key":"2221","mappings":{"default":{"default":"ángulo medido"}},"category":"Sm"},{"key":"2222","mappings":{"default":{"default":"ángulo esférico"}},"category":"Sm"},{"key":"2223","mappings":{"default":{"default":"divide a"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"no divide a"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"paralela a"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"no paralela a"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"integral"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"integral doble"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"integral triple"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"integral de contorno"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"integral de superficie"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"integral de volumen"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"integral de contorno en sentido antihorario"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"por lo tanto"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"porque"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"razón"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"proporción"}},"category":"Sm"},{"key":"2238","mappings":{"default":{"default":"punto menos"}},"category":"Sm"},{"key":"2239","mappings":{"default":{"default":"exceso"}},"category":"Sm"},{"key":"223A","mappings":{"default":{"default":"proporción geométrica"}},"category":"Sm"},{"key":"223B","mappings":{"default":{"default":"homotecia"}},"category":"Sm"},{"key":"223C","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"223D","mappings":{"default":{"default":"tilde invertido"}},"category":"Sm"},{"key":"223E","mappings":{"default":{"default":"s horizontal invertida"}},"category":"Sm"},{"key":"223F","mappings":{"default":{"default":"sinusoide"}},"category":"Sm"},{"key":"2240","mappings":{"default":{"default":"producto de guirnalda"}},"category":"Sm"},{"key":"2241","mappings":{"default":{"default":"no tilde"}},"category":"Sm"},{"key":"2242","mappings":{"default":{"default":"menos tilde"}},"category":"Sm"},{"key":"2243","mappings":{"default":{"default":"asintóticamente igual a"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"no asintóticamente igual a"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"aproximadamente igual a"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"aproximado pero no igual a"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"no aproximado a"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"aproximado","defaultMP":"casi igual a"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"no es casi igual a"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"igual o casi igual a"}},"category":"Sm"},{"key":"224B","mappings":{"default":{"default":"triple tilde"}},"category":"Sm"},{"key":"224C","mappings":{"default":{"default":"todo igual a"}},"category":"Sm"},{"key":"224D","mappings":{"default":{"default":"equivalente a"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"geométricamente equivalente a"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"se acerca al límite"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"geométricamente igual a"}},"category":"Sm"},{"key":"2252","mappings":{"default":{"default":"aproximadamente igual a o imagen de"}},"category":"Sm"},{"key":"2253","mappings":{"default":{"default":"imagen de o aproximadamente igual a"}},"category":"Sm"},{"key":"2254","mappings":{"default":{"default":"dos puntos igual"}},"category":"Sm"},{"key":"2255","mappings":{"default":{"default":"igual dos puntos"}},"category":"Sm"},{"key":"2256","mappings":{"default":{"default":"igual incluyendo anillo"}},"category":"Sm"},{"key":"2257","mappings":{"default":{"default":"igual anillo a"}},"category":"Sm"},{"key":"2258","mappings":{"default":{"default":"corresponde a"}},"category":"Sm"},{"key":"2259","mappings":{"default":{"default":"estima a"}},"category":"Sm"},{"key":"225A","mappings":{"default":{"default":"equiangular con"}},"category":"Sm"},{"key":"225B","mappings":{"default":{"default":"igual con estrella"}},"category":"Sm"},{"key":"225C","mappings":{"default":{"default":"igual con delta"}},"category":"Sm"},{"key":"225D","mappings":{"default":{"default":"igual por definición a"}},"category":"Sm"},{"key":"225E","mappings":{"default":{"default":"medido por"}},"category":"Sm"},{"key":"225F","mappings":{"default":{"default":"igual con interrogante"}},"category":"Sm"},{"key":"2260","mappings":{"default":{"default":"no es igual a","defaultMP":"distinto de"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"idéntico a"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"no es idéntico a"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"estrictamente equivalente a"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"entre"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"no equivalente a"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"no menor que"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"no mayor que"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"no menor ni igual a"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"no mayor ni igual a"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"menor o equivalente a"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"mayor o equivalente a"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"no menor ni equivalente a"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"no mayor ni equivalente a"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"menor o mayor que"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"no menor ni mayor que"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"no mayor ni menor que"}},"category":"Sm"},{"key":"227A","mappings":{"default":{"default":"precede a"}},"category":"Sm"},{"key":"227B","mappings":{"default":{"default":"sigue a"}},"category":"Sm"},{"key":"227C","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"227D","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"227E","mappings":{"default":{"default":"precede o es equivalente a"}},"category":"Sm"},{"key":"227F","mappings":{"default":{"default":"sigue o es equivalente a"}},"category":"Sm"},{"key":"2280","mappings":{"default":{"default":"no precede a"}},"category":"Sm"},{"key":"2281","mappings":{"default":{"default":"no sigue a"}},"category":"Sm"},{"key":"2282","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"2283","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"2284","mappings":{"default":{"default":"no incluido en"}},"category":"Sm"},{"key":"2285","mappings":{"default":{"default":"no contiene a"}},"category":"Sm"},{"key":"2286","mappings":{"default":{"default":"incluido o igual a"}},"category":"Sm"},{"key":"2287","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"2288","mappings":{"default":{"default":"no incluido ni igual a"}},"category":"Sm"},{"key":"2289","mappings":{"default":{"default":"no contiene ni es igual a"}},"category":"Sm"},{"key":"228A","mappings":{"default":{"default":"incluido estrictamente en"}},"category":"Sm"},{"key":"228B","mappings":{"default":{"default":"contiene estrictamente a"}},"category":"Sm"},{"key":"228C","mappings":{"default":{"default":"familia de conjuntos"}},"category":"Sm"},{"key":"228D","mappings":{"default":{"default":"producto de familia de conjuntos"}},"category":"Sm"},{"key":"228E","mappings":{"default":{"default":"unión de familia de conjuntos"}},"category":"Sm"},{"key":"228F","mappings":{"default":{"default":"imagen cuadrada de"}},"category":"Sm"},{"key":"2290","mappings":{"default":{"default":"original cuadrado de"}},"category":"Sm"},{"key":"2291","mappings":{"default":{"default":"imagen cuadrada de o igual a"}},"category":"Sm"},{"key":"2292","mappings":{"default":{"default":"original cuadrado de o igual a"}},"category":"Sm"},{"key":"2293","mappings":{"default":{"default":"intersección cuadrada"}},"category":"Sm"},{"key":"2294","mappings":{"default":{"default":"unión cuadrada"}},"category":"Sm"},{"key":"2295","mappings":{"default":{"default":"más en círculo"}},"category":"Sm"},{"key":"2296","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"2297","mappings":{"default":{"default":"por en círculo"}},"category":"Sm"},{"key":"2298","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"2299","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"229A","mappings":{"default":{"default":"anillo en círculo"}},"category":"Sm"},{"key":"229B","mappings":{"default":{"default":"asterisco en círculo"}},"category":"Sm"},{"key":"229C","mappings":{"default":{"default":"igual en círculo"}},"category":"Sm"},{"key":"229D","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"229E","mappings":{"default":{"default":"más en cuadrado"}},"category":"Sm"},{"key":"229F","mappings":{"default":{"default":"menos en cuadrado"}},"category":"Sm"},{"key":"22A0","mappings":{"default":{"default":"veces en cuadrado"}},"category":"Sm"},{"key":"22A1","mappings":{"default":{"default":"punto en cuadrado"}},"category":"Sm"},{"key":"22A2","mappings":{"default":{"default":"t horizontal hacia la izquierda"}},"category":"Sm"},{"key":"22A3","mappings":{"default":{"default":"t horizontal hacia la derecha"}},"category":"Sm"},{"key":"22A4","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"22A5","mappings":{"default":{"default":"perpendicular invertida"}},"category":"Sm"},{"key":"22A6","mappings":{"default":{"default":"afirmación"}},"category":"Sm"},{"key":"22A7","mappings":{"default":{"default":"modela"}},"category":"Sm"},{"key":"22A8","mappings":{"default":{"default":"verdadero"}},"category":"Sm"},{"key":"22A9","mappings":{"default":{"default":"obliga"}},"category":"Sm"},{"key":"22AA","mappings":{"default":{"default":"triple barra vertical torniquete derecho"}},"category":"Sm"},{"key":"22AB","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho"}},"category":"Sm"},{"key":"22AC","mappings":{"default":{"default":"no prueba"}},"category":"Sm"},{"key":"22AD","mappings":{"default":{"default":"falso"}},"category":"Sm"},{"key":"22AE","mappings":{"default":{"default":"no obliga"}},"category":"Sm"},{"key":"22AF","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho negada"}},"category":"Sm"},{"key":"22B0","mappings":{"default":{"default":"precede respecto de"}},"category":"Sm"},{"key":"22B1","mappings":{"default":{"default":"sigue respecto de"}},"category":"Sm"},{"key":"22B2","mappings":{"default":{"default":"subgrupo normal de"}},"category":"Sm"},{"key":"22B3","mappings":{"default":{"default":"contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22B4","mappings":{"default":{"default":"subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B5","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B6","mappings":{"default":{"default":"original de"}},"category":"Sm"},{"key":"22B7","mappings":{"default":{"default":"imagen de"}},"category":"Sm"},{"key":"22B8","mappings":{"default":{"default":"multifunción"}},"category":"Sm"},{"key":"22B9","mappings":{"default":{"default":"matriz hermitiana conjugada"}},"category":"Sm"},{"key":"22BA","mappings":{"default":{"default":"interpola"}},"category":"Sm"},{"key":"22BB","mappings":{"default":{"default":"o excluyente"}},"category":"Sm"},{"key":"22BC","mappings":{"default":{"default":"no y"}},"category":"Sm"},{"key":"22BD","mappings":{"default":{"default":"no o"}},"category":"Sm"},{"key":"22BF","mappings":{"default":{"default":"triángulo rectángulo"}},"category":"Sm"},{"key":"22C0","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"22C1","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"22C2","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"22C3","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"22C4","mappings":{"default":{"default":"operador diamante"}},"category":"Sm"},{"key":"22C5","mappings":{"default":{"default":"punto"}},"category":"Sm"},{"key":"22C6","mappings":{"default":{"default":"estrella"}},"category":"Sm"},{"key":"22C7","mappings":{"default":{"default":"dividido por"}},"category":"Sm"},{"key":"22C8","mappings":{"default":{"default":"moño"}},"category":"Sm"},{"key":"22C9","mappings":{"default":{"default":"factor normal izquierdo producto semidirecto"}},"category":"Sm"},{"key":"22CA","mappings":{"default":{"default":"factor normal derecho producto semidirecto"}},"category":"Sm"},{"key":"22CB","mappings":{"default":{"default":"producto semidirecto izquierdo"}},"category":"Sm"},{"key":"22CC","mappings":{"default":{"default":"producto semidirecto derecho"}},"category":"Sm"},{"key":"22CD","mappings":{"default":{"default":"tilde invertida igual a"}},"category":"Sm"},{"key":"22CE","mappings":{"default":{"default":"o rizada"}},"category":"Sm"},{"key":"22CF","mappings":{"default":{"default":"y rizada"}},"category":"Sm"},{"key":"22D0","mappings":{"default":{"default":"doble incluido"}},"category":"Sm"},{"key":"22D1","mappings":{"default":{"default":"doble contiene"}},"category":"Sm"},{"key":"22D2","mappings":{"default":{"default":"doble intersección"}},"category":"Sm"},{"key":"22D3","mappings":{"default":{"default":"doble unión"}},"category":"Sm"},{"key":"22D4","mappings":{"default":{"default":"bieldo"}},"category":"Sm"},{"key":"22D5","mappings":{"default":{"default":"paralela o igual a"}},"category":"Sm"},{"key":"22D6","mappings":{"default":{"default":"menor que con punto"}},"category":"Sm"},{"key":"22D7","mappings":{"default":{"default":"mayor que con punto"}},"category":"Sm"},{"key":"22D8","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"22D9","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"22DA","mappings":{"default":{"default":"menor igual o mayor que"}},"category":"Sm"},{"key":"22DB","mappings":{"default":{"default":"mayor igual o menor que"}},"category":"Sm"},{"key":"22DC","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"22DD","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"22DE","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"22DF","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"22E0","mappings":{"default":{"default":"no precede ni es igual a"}},"category":"Sm"},{"key":"22E1","mappings":{"default":{"default":"no sigue ni es igual a"}},"category":"Sm"},{"key":"22E2","mappings":{"default":{"default":"no es imagen cuadrada ni igual a"}},"category":"Sm"},{"key":"22E3","mappings":{"default":{"default":"no es original cuadrada ni igual a"}},"category":"Sm"},{"key":"22E4","mappings":{"default":{"default":"imagen cuadrada estricta"}},"category":"Sm"},{"key":"22E5","mappings":{"default":{"default":"original cuadrada estricta"}},"category":"Sm"},{"key":"22E6","mappings":{"default":{"default":"menor que no equivalente a"}},"category":"Sm"},{"key":"22E7","mappings":{"default":{"default":"mayor que no equivalente a"}},"category":"Sm"},{"key":"22E8","mappings":{"default":{"default":"precede no equivalente a"}},"category":"Sm"},{"key":"22E9","mappings":{"default":{"default":"sigue no equivalente a"}},"category":"Sm"},{"key":"22EA","mappings":{"default":{"default":"no subgrupo normal de"}},"category":"Sm"},{"key":"22EB","mappings":{"default":{"default":"no contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22EC","mappings":{"default":{"default":"no es subgrupo normal ni igual a"}},"category":"Sm"},{"key":"22ED","mappings":{"default":{"default":"no contiene como subgrupo normal ni es igual a"}},"category":"Sm"},{"key":"22EE","mappings":{"default":{"default":"puntos suspensivos verticales"}},"category":"Sm"},{"key":"22EF","mappings":{"default":{"default":"puntos suspensivos altos"}},"category":"Sm"},{"key":"22F0","mappings":{"default":{"default":"puntos suspensivos diagonales subiendo"}},"category":"Sm"},{"key":"22F1","mappings":{"default":{"default":"puntos suspensivos diagonales bajando"}},"category":"Sm"},{"key":"22F2","mappings":{"default":{"default":"pertenece con trazo horizontal"}},"category":"Sm"},{"key":"22F3","mappings":{"default":{"default":"pertenece con barra vertical al fin de raya horizontal"}},"category":"Sm"},{"key":"22F4","mappings":{"default":{"default":"pertenece en pequeño con trazo vertical"}},"category":"Sm"},{"key":"22F5","mappings":{"default":{"default":"pertenece con punto arriba"}},"category":"Sm"},{"key":"22F6","mappings":{"default":{"default":"pertenece con barra arriba"}},"category":"Sm"},{"key":"22F7","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F8","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F9","mappings":{"default":{"default":"pertenece con dos trazos horizontales"}},"category":"Sm"},{"key":"22FA","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"22FB","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FC","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FD","mappings":{"default":{"default":"contiene con barra"}},"category":"Sm"},{"key":"22FE","mappings":{"default":{"default":"perteneciente con barra"}},"category":"Sm"},{"key":"22FF","mappings":{"default":{"default":"z anotación asociación de bolsa"}},"category":"Sm"},{"key":"2300","mappings":{"default":{"default":"diámetro"}},"category":"So"},{"key":"2302","mappings":{"default":{"default":"casa"}},"category":"So"},{"key":"2305","mappings":{"default":{"default":"en proyectividad con"}},"category":"So"},{"key":"2306","mappings":{"default":{"default":"en perspectividad con"}},"category":"So"},{"key":"2310","mappings":{"default":{"default":"no invertido"}},"category":"So"},{"key":"2312","mappings":{"default":{"default":"arco"}},"category":"So"},{"key":"2313","mappings":{"default":{"default":"segmento"}},"category":"So"},{"key":"27C1","mappings":{"default":{"default":"triángulo encerrando triángulo"}},"category":"Sm"},{"key":"27C2","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27C3","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"27C4","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"27C7","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"27C8","mappings":{"default":{"default":"atrás tajo antes de subconjunto"}},"category":"Sm"},{"key":"27C9","mappings":{"default":{"default":"sobreconjunto antes de tajo"}},"category":"Sm"},{"key":"27CA","mappings":{"default":{"default":"barra vertical con golpe horizontal"}},"category":"Sm"},{"key":"27CC","mappings":{"default":{"default":"división larga"}},"category":"Sm"},{"key":"27D1","mappings":{"default":{"default":"y con punto interior"}},"category":"Sm"},{"key":"27D2","mappings":{"default":{"default":"elemento de apertura hacia arriba"}},"category":"Sm"},{"key":"27D3","mappings":{"default":{"default":"ángulo inferior derecho con punto"}},"category":"Sm"},{"key":"27D4","mappings":{"default":{"default":"ángulo inferior izquierdo con punto"}},"category":"Sm"},{"key":"27D5","mappings":{"default":{"default":"izquierdo exterior une"}},"category":"Sm"},{"key":"27D6","mappings":{"default":{"default":"derecho exterior une"}},"category":"Sm"},{"key":"27D7","mappings":{"default":{"default":"lleno exterior une"}},"category":"Sm"},{"key":"27D8","mappings":{"default":{"default":"perpendicular inversa"}},"category":"Sm"},{"key":"27D9","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27DA","mappings":{"default":{"default":"izquierdo y derecho doble torniquete"}},"category":"Sm"},{"key":"27DB","mappings":{"default":{"default":"doble T horizontal"}},"category":"Sm"},{"key":"27DC","mappings":{"default":{"default":"multifunción por la izquierda"}},"category":"Sm"},{"key":"27DD","mappings":{"default":{"default":"T horizontal derecha larga"}},"category":"Sm"},{"key":"27DE","mappings":{"default":{"default":"T horizontal izquierda larga"}},"category":"Sm"},{"key":"27DF","mappings":{"default":{"default":"perpendicular inversa con círculo arriba"}},"category":"Sm"},{"key":"27E0","mappings":{"default":{"default":"pastilla dividida por regla horizontal"}},"category":"Sm"},{"key":"27E1","mappings":{"default":{"default":"diamante cóncavo vacío"}},"category":"Sm"},{"key":"27E2","mappings":{"default":{"default":"diamante cóncavo con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E3","mappings":{"default":{"default":"diamante cóncavo con tictac hacia derecha"}},"category":"Sm"},{"key":"27E4","mappings":{"default":{"default":"cuadrado con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E5","mappings":{"default":{"default":"cuadrado con tictac hacia derecha"}},"category":"Sm"},{"key":"299A","mappings":{"default":{"default":"zigzag en vertical"}},"category":"Sm"},{"key":"29B0","mappings":{"default":{"default":"conjunto vacío invertido"}},"category":"Sm"},{"key":"29B1","mappings":{"default":{"default":"conjunto vacío con barra"}},"category":"Sm"},{"key":"29B2","mappings":{"default":{"default":"conjunto vacío con círculo"}},"category":"Sm"},{"key":"29B5","mappings":{"default":{"default":"círculo con barra"}},"category":"Sm"},{"key":"29B6","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"29B7","mappings":{"default":{"default":"paralelas en círculo"}},"category":"Sm"},{"key":"29B9","mappings":{"default":{"default":"perpendicular en círculo"}},"category":"Sm"},{"key":"29BB","mappings":{"default":{"default":"x superimpresa en círculo"}},"category":"Sm"},{"key":"29BC","mappings":{"default":{"default":"circled anticlockwise rotated division"}},"category":"Sm"},{"key":"29BE","mappings":{"default":{"default":"bullet vacía en círculo"}},"category":"Sm"},{"key":"29BF","mappings":{"default":{"default":"bullet en círculo"}},"category":"Sm"},{"key":"29C0","mappings":{"default":{"default":"menor que en círculo"}},"category":"Sm"},{"key":"29C1","mappings":{"default":{"default":"mayor que en círculo"}},"category":"Sm"},{"key":"29C2","mappings":{"default":{"default":"círculo con círculo a la derecha"}},"category":"Sm"},{"key":"29C3","mappings":{"default":{"default":"circle with two horizontal strokes to the right"}},"category":"Sm"},{"key":"29C4","mappings":{"default":{"default":"cuadrado con diagonal ascendente"}},"category":"Sm"},{"key":"29C5","mappings":{"default":{"default":"cuadrado con diagonal descendente"}},"category":"Sm"},{"key":"29C9","mappings":{"default":{"default":"dos cuadrados unidos"}},"category":"Sm"},{"key":"29CD","mappings":{"default":{"default":"triangle with serifs at bottom"}},"category":"Sm"},{"key":"29CE","mappings":{"default":{"default":"triángulo hacia la derecha sobre triángulo hacia la izquierda"}},"category":"Sm"},{"key":"29CF","mappings":{"default":{"default":"subgrupo normal o igual a"}},"category":"Sm"},{"key":"29D0","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"key":"29DC","mappings":{"default":{"default":"infinito incompleto"}},"category":"Sm"},{"key":"29DE","mappings":{"default":{"default":"no infinito"}},"category":"Sm"},{"key":"29E3","mappings":{"default":{"default":"igual tachado doble "}},"category":"Sm"},{"key":"29E4","mappings":{"default":{"default":"igual con tilde, con doble tachado"}},"category":"Sm"},{"key":"29E5","mappings":{"default":{"default":"idéntico a con doble tachado"}},"category":"Sm"},{"key":"29EB","mappings":{"default":{"default":"rombo relleno"}},"category":"Sm"},{"key":"29F4","mappings":{"default":{"default":"rule delayed"}},"category":"Sm"},{"key":"29F6","mappings":{"default":{"default":"solidus with overbar"}},"category":"Sm"},{"key":"2A0C","mappings":{"default":{"default":"operador integral cuádruple"}},"category":"Sm"},{"key":"2A0D","mappings":{"default":{"default":"finite part integral"}},"category":"Sm"},{"key":"2A10","mappings":{"default":{"default":"circulation function"}},"category":"Sm"},{"key":"2A11","mappings":{"default":{"default":"integral en sentido antihorario"}},"category":"Sm"},{"key":"2A12","mappings":{"default":{"default":"integral lineal para rectángulo en polo"}},"category":"Sm"},{"key":"2A13","mappings":{"default":{"default":"integral lineal para semicírculo en polo"}},"category":"Sm"},{"key":"2A14","mappings":{"default":{"default":"integral lineal excluyendo el polo"}},"category":"Sm"},{"key":"2A15","mappings":{"default":{"default":"integral en torno de un punto operador"}},"category":"Sm"},{"key":"2A16","mappings":{"default":{"default":"operador integral para cuaterniones"}},"category":"Sm"},{"key":"2A22","mappings":{"default":{"default":"más con círculo"}},"category":"Sm"},{"key":"2A23","mappings":{"default":{"default":"más con ángulo"}},"category":"Sm"},{"key":"2A24","mappings":{"default":{"default":"tilde con más suscrito"}},"category":"Sm"},{"key":"2A25","mappings":{"default":{"default":"más con punto inferior"}},"category":"Sm"},{"key":"2A26","mappings":{"default":{"default":"tilde con más"}},"category":"Sm"},{"key":"2A27","mappings":{"default":{"default":"más con 2 suscrito"}},"category":"Sm"},{"key":"2A29","mappings":{"default":{"default":"menos con coma"}},"category":"Sm"},{"key":"2A2A","mappings":{"default":{"default":"menos con punto inferior"}},"category":"Sm"},{"key":"2A2D","mappings":{"default":{"default":"más en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A2E","mappings":{"default":{"default":"más en semicírculo derecho"}},"category":"Sm"},{"key":"2A2F","mappings":{"default":{"default":"producto vectorial"}},"category":"Sm"},{"key":"2A30","mappings":{"default":{"default":"por con punto"}},"category":"Sm"},{"key":"2A31","mappings":{"default":{"default":"por con subrayado"}},"category":"Sm"},{"key":"2A33","mappings":{"default":{"default":"smash product"}},"category":"Sm"},{"key":"2A34","mappings":{"default":{"default":"por en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A35","mappings":{"default":{"default":"por en semicírculo derecho"}},"category":"Sm"},{"key":"2A36","mappings":{"default":{"default":"por en círculo con ángulo"}},"category":"Sm"},{"key":"2A37","mappings":{"default":{"default":"por en anillo"}},"category":"Sm"},{"key":"2A38","mappings":{"default":{"default":"división en círculo"}},"category":"Sm"},{"key":"2A39","mappings":{"default":{"default":"más en triángulo"}},"category":"Sm"},{"key":"2A3A","mappings":{"default":{"default":"menos en triángulo"}},"category":"Sm"},{"key":"2A3B","mappings":{"default":{"default":"por en triángulo"}},"category":"Sm"},{"key":"2A3C","mappings":{"default":{"default":"producto interior"}},"category":"Sm"},{"key":"2A3F","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2A40","mappings":{"default":{"default":"intersección con punto"}},"category":"Sm"},{"key":"2A42","mappings":{"default":{"default":"unión con barra"}},"category":"Sm"},{"key":"2A43","mappings":{"default":{"default":"intersección con barra"}},"category":"Sm"},{"key":"2A44","mappings":{"default":{"default":"intersección con and"}},"category":"Sm"},{"key":"2A45","mappings":{"default":{"default":"unión con or"}},"category":"Sm"},{"key":"2A46","mappings":{"default":{"default":"unión sobre intersección"}},"category":"Sm"},{"key":"2A47","mappings":{"default":{"default":"intersección sobre unión"}},"category":"Sm"},{"key":"2A48","mappings":{"default":{"default":"unión sobre barra, sobre intersección"}},"category":"Sm"},{"key":"2A49","mappings":{"default":{"default":"intersección sobre barra, sobre unión "}},"category":"Sm"},{"key":"2A4A","mappings":{"default":{"default":"unión y unión"}},"category":"Sm"},{"key":"2A4B","mappings":{"default":{"default":"intersección e intersección"}},"category":"Sm"},{"key":"2A4C","mappings":{"default":{"default":"unión cerrada"}},"category":"Sm"},{"key":"2A4D","mappings":{"default":{"default":"intersección cerrada"}},"category":"Sm"},{"key":"2A50","mappings":{"default":{"default":"unión cerrada con por"}},"category":"Sm"},{"key":"2A53","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2A55","mappings":{"default":{"default":"two intersecting logical and"}},"category":"Sm"},{"key":"2A56","mappings":{"default":{"default":"two intersecting logical or"}},"category":"Sm"},{"key":"2A57","mappings":{"default":{"default":"sloping large or"}},"category":"Sm"},{"key":"2A58","mappings":{"default":{"default":"sloping large and"}},"category":"Sm"},{"key":"2A5A","mappings":{"default":{"default":"logical and with middle stem"}},"category":"Sm"},{"key":"2A5B","mappings":{"default":{"default":"logical or with middle stem"}},"category":"Sm"},{"key":"2A5C","mappings":{"default":{"default":"logical and with horizontal dash"}},"category":"Sm"},{"key":"2A5D","mappings":{"default":{"default":"logical or with horizontal dash"}},"category":"Sm"},{"key":"2A5F","mappings":{"default":{"default":"logical and with underbar"}},"category":"Sm"},{"key":"2A66","mappings":{"default":{"default":"igual con punto suscrito"}},"category":"Sm"},{"key":"2A6A","mappings":{"default":{"default":"tilde con punto"}},"category":"Sm"},{"key":"2A6D","mappings":{"default":{"default":"congruente con punto"}},"category":"Sm"},{"key":"2A6F","mappings":{"default":{"default":"casi igual con ángulo"}},"category":"Sm"},{"key":"2A71","mappings":{"default":{"default":"igual con más suscrito"}},"category":"Sm"},{"key":"2A72","mappings":{"default":{"default":"igual con más"}},"category":"Sm"},{"key":"2A73","mappings":{"default":{"default":"igual con operador tilde"}},"category":"Sm"},{"key":"2A74","mappings":{"default":{"default":"igual con dos puntos"}},"category":"Sm"},{"key":"2A75","mappings":{"default":{"default":"igual doble"}},"category":"Sm"},{"key":"2A77","mappings":{"default":{"default":"igual entre cuatro puntos"}},"category":"Sm"},{"key":"2A78","mappings":{"default":{"default":"equivalente con cuatro puntos"}},"category":"Sm"},{"key":"2A79","mappings":{"default":{"default":"menor que con círculo interior"}},"category":"Sm"},{"key":"2A7A","mappings":{"default":{"default":"mayor que con círculo interior"}},"category":"Sm"},{"key":"2A7B","mappings":{"default":{"default":"menor que con interrogante"}},"category":"Sm"},{"key":"2A7C","mappings":{"default":{"default":"mayor que con interrogante"}},"category":"Sm"},{"key":"2A7D","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2A7E","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"2A7F","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A80","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A81","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A82","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"key":"2A83","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A84","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"key":"2A89","mappings":{"default":{"default":"menor que, pero no aproximado a"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"mayor que, pero no aproximado a"}},"category":"Sm"},{"key":"2A8D","mappings":{"default":{"default":"menor, similar o igual a"}},"category":"Sm"},{"key":"2A8E","mappings":{"default":{"default":"mayor, similar o igual a"}},"category":"Sm"},{"key":"2A8F","mappings":{"default":{"default":"menor, similar o mayor que"}},"category":"Sm"},{"key":"2A90","mappings":{"default":{"default":"mayor, similar o menor que"}},"category":"Sm"},{"key":"2A91","mappings":{"default":{"default":"menor, mayor o igual a"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"mayor, menor o igual a"}},"category":"Sm"},{"key":"2A93","mappings":{"default":{"default":"estrictamente menor o mayor que"}},"category":"Sm"},{"key":"2A94","mappings":{"default":{"default":"estrictamente mayor o menor que"}},"category":"Sm"},{"key":"2A97","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A98","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A99","mappings":{"default":{"default":"menor o igual a"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"mayor o igual a"}},"category":"Sm"},{"key":"2A9D","mappings":{"default":{"default":"equivalente o menor que"}},"category":"Sm"},{"key":"2A9E","mappings":{"default":{"default":"mayor o similar a"}},"category":"Sm"},{"key":"2A9F","mappings":{"default":{"default":"similar, menor o igual a"}},"category":"Sm"},{"key":"2AA0","mappings":{"default":{"default":"similar, mayor o igual a"}},"category":"Sm"},{"key":"2AA1","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"2AA4","mappings":{"default":{"default":"menor que, mayor que"}},"category":"Sm"},{"key":"2AA5","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2AA6","mappings":{"default":{"default":"menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA7","mappings":{"default":{"default":"mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AA8","mappings":{"default":{"default":"estrictamente menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA9","mappings":{"default":{"default":"estrictamente mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AAA","mappings":{"default":{"default":"más reducido que"}},"category":"Sm"},{"key":"2AAB","mappings":{"default":{"default":"más amplio que"}},"category":"Sm"},{"key":"2AAC","mappings":{"default":{"default":"más reducido o igual a"}},"category":"Sm"},{"key":"2AAD","mappings":{"default":{"default":"más amplio o igual a"}},"category":"Sm"},{"key":"2AAE","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2AAF","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"2AB5","mappings":{"default":{"default":"precede estrictamente a"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"sigue estrictamente a"}},"category":"Sm"},{"key":"2ABB","mappings":{"default":{"default":"precede mucho antes"}},"category":"Sm"},{"key":"2ABC","mappings":{"default":{"default":"sigue mucho después"}},"category":"Sm"},{"key":"2ABD","mappings":{"default":{"default":"subrelación de"}},"category":"Sm"},{"key":"2ABE","mappings":{"default":{"default":"contiene como subrelación a"}},"category":"Sm"},{"key":"2ABF","mappings":{"default":{"default":"incluido con más suscrito"}},"category":"Sm"},{"key":"2AC0","mappings":{"default":{"default":"contiene con más suscrito"}},"category":"Sm"},{"key":"2AC1","mappings":{"default":{"default":"incluido con por suscrito"}},"category":"Sm"},{"key":"2AC2","mappings":{"default":{"default":"contiene con por suscrito"}},"category":"Sm"},{"key":"2AC3","mappings":{"default":{"default":"incluido con punto o es igual a"}},"category":"Sm"},{"key":"2AC4","mappings":{"default":{"default":"contiene con punto o es igual a"}},"category":"Sm"},{"key":"2AC7","mappings":{"default":{"default":"incluido aproximadamente en"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"contiene aproximadamente a"}},"category":"Sm"},{"key":"2ACF","mappings":{"default":{"default":"incluido con cierre en"}},"category":"Sm"},{"key":"2AD0","mappings":{"default":{"default":"contiene al cierre del subconjunto"}},"category":"Sm"},{"key":"2AD1","mappings":{"default":{"default":"incluido el cierre o es igual a"}},"category":"Sm"},{"key":"2AD2","mappings":{"default":{"default":"contiene al cierre del subconjunto o es igual a"}},"category":"Sm"},{"key":"2AD3","mappings":{"default":{"default":"está incluido o contiene a"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"incluido doblemente en"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"contiene doblemente a"}},"category":"Sm"},{"key":"2AD7","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD8","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD9","mappings":{"default":{"default":"perteneciente dirigido hacia abajo"}},"category":"Sm"},{"key":"2ADA","mappings":{"default":{"default":"pitchfork with tee top"}},"category":"Sm"},{"key":"2ADB","mappings":{"default":{"default":"transversal intersection"}},"category":"Sm"},{"key":"2AE4","mappings":{"default":{"default":"double left turnstile vertical bar"}},"category":"Sm"},{"key":"2AE6","mappings":{"default":{"default":"long dash from left member of double vertical"}},"category":"Sm"},{"key":"2AE7","mappings":{"default":{"default":"short down tack with overbar"}},"category":"Sm"},{"key":"2AE8","mappings":{"default":{"default":"barra con perpendicular"}},"category":"Sm"},{"key":"2AE9","mappings":{"default":{"default":"short up tack above short down tack"}},"category":"Sm"},{"key":"2AEB","mappings":{"default":{"default":"double up tack"}},"category":"Sm"},{"key":"2AEC","mappings":{"default":{"default":"double stroke not sign"}},"category":"Sm"},{"key":"2AED","mappings":{"default":{"default":"reversed double stroke not sign"}},"category":"Sm"},{"key":"2AEE","mappings":{"default":{"default":"does not divide with reversed negation slash"}},"category":"Sm"},{"key":"2AEF","mappings":{"default":{"default":"barra vertical con círculo"}},"category":"Sm"},{"key":"2AF0","mappings":{"default":{"default":"barra con círculo inferior"}},"category":"Sm"},{"key":"2AF1","mappings":{"default":{"default":"down tack with circle below"}},"category":"Sm"},{"key":"2AF2","mappings":{"default":{"default":"paralela con marca"}},"category":"Sm"},{"key":"2AF3","mappings":{"default":{"default":"paralela con tilde"}},"category":"Sm"},{"key":"FE68","mappings":{"default":{"default":"división entera"}},"category":"Po"},{"key":"FF5C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"}]
+"fr/symbols/greek-rest.js": 
+[{"locale":"fr"},{"category":"Lu","key":"0394","mappings":{"clearspeak":{"default":"triangle","TriangleSymbol_Delta":"Delta majuscule"}}}]
 ,
-"es/math_whitespace.js": 
-[{"locale":"es"},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"guión corto"}},"category":"Cf"},{"key":"2002","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2004","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2005","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2007","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2008","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"200C","mappings":{"default":{"default":"ancho de cero no ensamblador"}},"category":"Cf"},{"key":"200D","mappings":{"default":{"default":"ancho de cero ensamblador"}},"category":"Cf"},{"key":"200E","mappings":{"default":{"default":"marca de izquierda a derecha"}},"category":"Cf"},{"key":"200F","mappings":{"default":{"default":"marca de derecha a izquierda"}},"category":"Cf"},{"key":"205F","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2060","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"2061","mappings":{"default":{"default":"de"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":"por"}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":"coma"}},"category":"Cf"},{"key":"2064","mappings":{"default":{"default":"más"}},"category":"Cf"},{"key":"FEFF","mappings":{"default":{"default":""}},"category":"Cf"}]
+"fr/symbols/greek-scripts.js": 
+[{"locale":"fr"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"petite gamma majuscule"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"petite lambda majuscule"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"petite pi majuscule"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"petite rhô majuscule"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"petite psi majuscule"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"gamma suscript"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"phi suscript"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"bêta souscrit"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"gamma souscrit"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"rhô souscrit"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"phi souscrit"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"khi souscrit"}}}]
 ,
-"es/other_stars.js": 
-[{"locale":"es"},{"key":"2605","mappings":{"default":{"default":"estrella rellena"}},"category":"So"},{"key":"2606","mappings":{"default":{"default":"estrella vacía"}},"category":"So"},{"key":"2713","mappings":{"default":{"default":"check mark"}},"category":"So"},{"key":"2717","mappings":{"default":{"default":"ballot x"}},"category":"So"},{"key":"2720","mappings":{"default":{"default":"cruz de Malta"}},"category":"So"},{"key":"2736","mappings":{"default":{"default":"estrella rellena de seis puntas"}},"category":"So"},{"key":"273D","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"category":"So"}]
+"fr/symbols/greek-symbols.js": 
+[{"locale":"fr"},{"key":"03D0","mappings":{"default":{"default":"bêta grec"}},"category":"Ll"},{"key":"03D7","mappings":{"default":{"default":"ligature kai"}},"category":"Ll"},{"key":"03F6","mappings":{"default":{"default":"epsilon lunaire réfléchi"}},"category":"Sm"},{"category":"Lu","key":"1D7CA","mappings":{"default":{"default":"Digamma en gras"}}},{"category":"Ll","key":"1D7CB","mappings":{"default":{"default":"digamma en gras"}}}]
 ,
-"es/energy.js": 
-[{"locale":"es"},{"key":"W","names":["W","w"],"mappings":{"default":{"default":"watt"}},"category":"energy"},{"key":"kW","names":["kw","kW"],"mappings":{"default":{"default":"kilowatt"}},"category":"energy"},{"key":"mW","names":["mw","mW"],"mappings":{"default":{"default":"miliwatt"}},"category":"energy"},{"key":"kwh","names":["kwh","kWh"],"mappings":{"default":{"default":"kilowatt hora"}},"category":"energy"},{"key":"J","names":["J"],"mappings":{"default":{"default":"Joules"}},"category":"energy"},{"key":"N","names":["N"],"mappings":{"default":{"default":"Newton"}},"category":"energy"},{"key":"A","names":["A"],"mappings":{"default":{"default":"Ampere"}},"category":"energy"},{"key":"V","names":["V"],"mappings":{"default":{"default":"Voltio"}},"category":"energy"},{"key":"µΩ","names":["µΩ"],"mappings":{"default":{"default":"microohmio"}},"category":"energy"},{"key":"mΩ","names":["mΩ"],"mappings":{"default":{"default":"miliohmio"}},"category":"energy"},{"key":"Ω","names":["Ω","Ohm"],"mappings":{"default":{"default":"ohmio"}},"category":"energy"},{"key":"kΩ","names":["kΩ","KΩ"],"mappings":{"default":{"default":"kiloohmio"}},"category":"energy"},{"key":"MΩ","names":["MΩ"],"mappings":{"default":{"default":"megaohmio"}},"category":"energy"},{"key":"GΩ","names":["GΩ"],"mappings":{"default":{"default":"gigaohmio"}},"category":"energy"}]
+"fr/symbols/hebrew_letters.js": 
+[{"locale":"fr"},{"key":"2135","mappings":{"default":{"default":"alef"}},"category":"Lo"},{"key":"2136","mappings":{"default":{"default":"bèt"}},"category":"Lo"},{"key":"2137","mappings":{"default":{"default":"guimel"}},"category":"Lo"},{"key":"2138","mappings":{"default":{"default":"dalèt"}},"category":"Lo"}]
 ,
-"es/length.js": 
-[{"locale":"es"},{"key":"mm","names":["mm"],"mappings":{"default":{"default":"milímetro"}},"category":"Length"},{"key":"cm","names":["cm"],"mappings":{"default":{"default":"centímetro"}},"category":"Length"},{"key":"m","names":["m"],"mappings":{"default":{"default":"metro"}},"category":"Length"},{"key":"km","names":["km"],"mappings":{"default":{"default":"kilómetro"}},"category":"Length"},{"key":"ft","names":["ft","ft."],"mappings":{"default":{"default":"pies"}},"category":"Length"},{"key":"in","names":["in","in."],"mappings":{"default":{"default":"pulgada"}},"category":"Length"},{"key":"mi","names":["mi","mi."],"mappings":{"default":{"default":"milla"}},"category":"Length"},{"key":"yd","names":["yd","yd."],"mappings":{"default":{"default":"yarda"}},"category":"Length"},{"key":"n.m.","names":["n.m."],"mappings":{"default":{"default":"millas náuticas"}}}]
+"fr/symbols/latin-lower-double-accent.js": 
+[{"locale":"fr"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u trémaa et macron"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u trémaa et accent aigu"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u trémaa et caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u trémaa et accent grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a trémaa et macron"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a point en chef et macron"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o ogonek et macron"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a rond en chef et accent aigu"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o tréma et macron"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o tilde et macron"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o point en chef et macron"}}},{"key":"1E09","mappings":{"default":{"default":"c cédille et accent aigu"}},"category":"Ll"},{"key":"1E15","mappings":{"default":{"default":"e macron et accent grave"}},"category":"Ll"},{"key":"1E17","mappings":{"default":{"default":"e macron et accent aigu"}},"category":"Ll"},{"key":"1E1D","mappings":{"default":{"default":"e cédille et brève"}},"category":"Ll"},{"key":"1E2F","mappings":{"default":{"default":"i tréma et accent aigu"}},"category":"Ll"},{"key":"1E39","mappings":{"default":{"default":"l point souscrit et macron"}},"category":"Ll"},{"key":"1E4D","mappings":{"default":{"default":"o tilde et accent aigu"}},"category":"Ll"},{"key":"1E4F","mappings":{"default":{"default":"o tilde et tréma"}},"category":"Ll"},{"key":"1E51","mappings":{"default":{"default":"o macron et accent grave"}},"category":"Ll"},{"key":"1E53","mappings":{"default":{"default":"o macron et accent aigu"}},"category":"Ll"},{"key":"1E5D","mappings":{"default":{"default":"r point souscrit et macron"}},"category":"Ll"},{"key":"1E65","mappings":{"default":{"default":"s accent aigu et point en chef"}},"category":"Ll"},{"key":"1E67","mappings":{"default":{"default":"s caron et point en chef"}},"category":"Ll"},{"key":"1E69","mappings":{"default":{"default":"s point souscrit et point en chef"}},"category":"Ll"},{"key":"1E79","mappings":{"default":{"default":"u tilde et accent aigu"}},"category":"Ll"},{"key":"1E7B","mappings":{"default":{"default":"u macron et tréma"}},"category":"Ll"},{"key":"1EA5","mappings":{"default":{"default":"a accent circonflexe et accent aigu"}},"category":"Ll"},{"key":"1EA7","mappings":{"default":{"default":"a accent circonflexe et accent grave"}},"category":"Ll"},{"key":"1EA9","mappings":{"default":{"default":"a accent circonflexe et crochet en chef"}},"category":"Ll"},{"key":"1EAB","mappings":{"default":{"default":"a accent circonflexe et tilde"}},"category":"Ll"},{"key":"1EAD","mappings":{"default":{"default":"a accent circonflexe et point souscrit"}},"category":"Ll"},{"key":"1EAF","mappings":{"default":{"default":"a brève et accent aigu"}},"category":"Ll"},{"key":"1EB1","mappings":{"default":{"default":"a brève et accent grave"}},"category":"Ll"},{"key":"1EB3","mappings":{"default":{"default":"a brève et crochet en chef"}},"category":"Ll"},{"key":"1EB5","mappings":{"default":{"default":"a brève et tilde"}},"category":"Ll"},{"key":"1EB7","mappings":{"default":{"default":"a brève et point souscrit"}},"category":"Ll"},{"key":"1EBF","mappings":{"default":{"default":"e accent circonflexe et accent aigu"}},"category":"Ll"},{"key":"1EC1","mappings":{"default":{"default":"e accent circonflexe et accent grave"}},"category":"Ll"},{"key":"1EC3","mappings":{"default":{"default":"e accent circonflexe et crochet en chef"}},"category":"Ll"},{"key":"1EC5","mappings":{"default":{"default":"e accent circonflexe et tilde"}},"category":"Ll"},{"key":"1EC7","mappings":{"default":{"default":"e accent circonflexe et point souscrit"}},"category":"Ll"},{"key":"1ED1","mappings":{"default":{"default":"o accent circonflexe et accent aigu"}},"category":"Ll"},{"key":"1ED3","mappings":{"default":{"default":"o accent circonflexe et accent grave"}},"category":"Ll"},{"key":"1ED5","mappings":{"default":{"default":"o accent circonflexe et crochet en chef"}},"category":"Ll"},{"key":"1ED7","mappings":{"default":{"default":"o accent circonflexe et tilde"}},"category":"Ll"},{"key":"1ED9","mappings":{"default":{"default":"o accent circonflexe et point souscrit"}},"category":"Ll"},{"key":"1EDB","mappings":{"default":{"default":"o cornu accent aigu"}},"category":"Ll"},{"key":"1EDD","mappings":{"default":{"default":"o cornu accent grave"}},"category":"Ll"},{"key":"1EDF","mappings":{"default":{"default":"o cornu crochet en chef"}},"category":"Ll"},{"key":"1EE1","mappings":{"default":{"default":"o cornu tilde"}},"category":"Ll"},{"key":"1EE3","mappings":{"default":{"default":"o cornu point souscrit"}},"category":"Ll"},{"key":"1EE9","mappings":{"default":{"default":"u cornu accent aigu"}},"category":"Ll"},{"key":"1EEB","mappings":{"default":{"default":"u cornu accent grave"}},"category":"Ll"},{"key":"1EED","mappings":{"default":{"default":"u cornu crochet en chef"}},"category":"Ll"},{"key":"1EEF","mappings":{"default":{"default":"u cornu tilde"}},"category":"Ll"},{"key":"1EF1","mappings":{"default":{"default":"u cornu point souscrit"}},"category":"Ll"}]
 ,
-"es/memory.js": 
-[{"locale":"es"},{"key":"b","names":["b"],"mappings":{"default":{"default":"bit"}}},{"key":"B","names":["B"],"mappings":{"default":{"default":"byte"}}},{"key":"KB","names":["KB"],"mappings":{"default":{"default":"kilobyte"}}},{"key":"MB","names":["MB"],"mappings":{"default":{"default":"megabyte"}}},{"key":"GB","names":["GB"],"mappings":{"default":{"default":"gigabyte"}}},{"key":"TB","names":["TB"],"mappings":{"default":{"default":"terabyte"}}}]
+"fr/symbols/latin-lower-phonetic.js": 
+[{"locale":"fr"},{"key":"00F8","mappings":{"default":{"default":"o barré"}},"category":"Ll"},{"key":"0111","mappings":{"default":{"default":"d barré"}},"category":"Ll"},{"key":"0127","mappings":{"default":{"default":"h barré"}},"category":"Ll"},{"key":"0142","mappings":{"default":{"default":"l barré"}},"category":"Ll"},{"key":"0167","mappings":{"default":{"default":"t barré"}},"category":"Ll"},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b barré"}}},{"key":"019B","mappings":{"default":{"default":"lambda barré"}},"category":"Ll"},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z barré"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"coup de glotte barré culbuté"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g barré"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o barré accent aigu"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c barré"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"e barré"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j barré"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"r barré"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y barré"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"j sans point barré"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i barré"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"j sans point barré crosse"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"coup de glotte barré"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"coup de glotte barré réfléchi"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"o couché barré obliquement"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota barré"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p barré"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon barré"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"s long à barre diagonale"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"s long à barre haute"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"delta culbutée"}}},{"key":"1E9B","mappings":{"default":{"default":"s long point en chef"}},"category":"Ll"},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta"}}},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"category":"Ll","key":"017F","mappings":{"default":{"default":"s long"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b potence"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"sixiéme ton"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c crosse"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d potence"}}},{"key":"0192","mappings":{"default":{"default":"f cursif"}},"category":"Ll"},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv (Hwair)"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k crosse"}}},{"key":"019A","mappings":{"default":{"default":"l rayé"}},"category":"Ll"},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n à long jambage de droite"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o cornu"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"gha"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p crosse"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"deuxiéme ton"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"ech réfléchi bouclé"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t hameçon palatal"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t crosse"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u cornu"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y crosse"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"ej réfléchi"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ej hameçon"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"cinquiéme tun"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ej caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lej"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ej"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"ej bouclé"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"digramme Dej"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"e culbuté"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae accent aigu (ash)"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d bouclé"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z crochet"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l bouclé"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n bouclé"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t bouclé"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"Ligature minuscule latine Db"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"Ligature minuscule latine Qp"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s à paraphe"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z à paraphe"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"coup de glotte"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q avec hameçon"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"a culbuté"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"alpha culbuté"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b crosse"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"o ouvert"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c bouclé"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d hameçon rétroflexe"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d crosse"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"e réfléchi"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"schwa crochet"}}},{"key":"025B","mappings":{"default":{"default":"e ouvert"}},"category":"Ll"},{"category":"Ll","key":"025C","mappings":{"default":{"default":"epsilon réfléchi"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"epsilon réfléchi crochet"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"epsilon réfléchi fermé"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g crosse"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"g cursif"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"petit gamma"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"h culbuté"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h crosse"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"eng crosse"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l tilde médian"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l sanglé"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"l hameçon rétroflexe"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"m culbuté"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"m hampé culbuté"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m hameçon"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n hameçon à gauche"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n hameçon rétroflexe"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"o barré"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"oméga fermé"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"r culbuté"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"r prolongé culbuté"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"r crosse culbuté"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"r prolongé"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"r hameçon rétroflexe"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"r sans obit"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"r sans obit réfléchi"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"s hameçon rétroflexe"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"ech"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"r sans obit réfléchi hameçon rétroflexe"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"ech bouclé"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"t culbuté"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"t hameçon rétroflexe"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"u barré"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"v de ronde"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"v culbuté"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"w culbuté"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"y culbuté"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"z hameçon rétroflexe"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z bouclé"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"coup de glotte réfléchi"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"coup de glotte culbuté"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"C étiré"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"clic bilabial"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"epsilon fermé"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"k culbuté"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q crosse"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"digramme Dz"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"digramme Dz bouclé"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"digramme Ts"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"digramme Tech"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"digramme Tc bouclé"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"digramme Feng"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"digramme Ls"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"digramme Lz"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"percussion bilabiale"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"percussion bidentale"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"h culbuté crosse réfléchie"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"h culbuté crosse réfléchie et hameçon rétroflexe"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"ae culbuté"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"epsilon culbuté"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"i culbuté"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"o couché"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"o ouvert couché"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"oe culbuté"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"moitié supérieure de o"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"moitié inférieure de o"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"u couché"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"u tréma couché"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"m couché"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"fricative pharyngale voisée"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"aïn"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"b tilde médian"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"d tilde médian"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"f tilde médian"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"m tilde médian"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"n tilde médian"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"p tilde médian"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"r tilde médian"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"r sans obit tilde médian"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"s tilde médian"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"t tilde médian"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z tilde médian"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"g culbuté"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"g insulaire"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th barré diagonalement"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"b hameçon palatal"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"d hameçon palatal"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"f hameçon palatal"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"g hameçon palatal"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"k hameçon palatal"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"l hameçon palatal"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"m hameçon palatal"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"n hameçon palatal"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"p hameçon palatal"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"r hameçon palatal"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"s hameçon palatal"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"ech hameçon palatal"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"v hameçon palatal"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"x hameçon palatal"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"z hameçon palatal"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a hameçon rétroflexe"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"alpha hameçon rétroflexe"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"d crosse et hameçon rétroflexe"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"e hameçon rétroflexe"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"epsilon hameçon rétroflexe"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"epsilon réfléchi hameçon rétroflexe"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"schwa hameçon rétroflexe"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"i hameçon rétroflexe"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"o ouvert hameçon rétroflexe"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"ech hameçon rétroflexe"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"u hameçon rétroflexe"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"ej hameçon rétroflexe"}}},{"key":"0149","mappings":{"default":{"default":"n précédée d'une apostrophe"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
 ,
-"es/other.js": 
-[{"locale":"es"},{"key":"doz","names":["doz","doz.","dz","dz."],"mappings":{"default":{"default":"docena"}}},{"key":"sq","names":["sq","sq."],"mappings":{"default":{"default":"al cuadrado"}}},{"key":"ha","names":["ha"],"mappings":{"default":{"default":"hectarea"}}}]
+"fr/symbols/latin-lower-single-accent.js": 
+[{"locale":"fr"},{"key":"00E0","mappings":{"default":{"default":"a accent grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a accent aigu"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a accent circonflexe"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a tréma"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a rond en chef"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c cédille"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e accent grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e accent aigu"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e accent circonflexe"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e tréma"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i accent grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i accent aigu"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i accent circonflexe"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i tréma"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"n tilde"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o accent grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o accent aigu"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o accent circonflexe"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o tréma"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u accent grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u accent aigu"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u accent circonflexe"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u tréma"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"y accent aigu"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y tréma"}},"category":"Ll"},{"key":"0101","mappings":{"default":{"default":"a macron"}},"category":"Ll"},{"key":"0103","mappings":{"default":{"default":"a brève"}},"category":"Ll"},{"key":"0105","mappings":{"default":{"default":"a ogonek"}},"category":"Ll"},{"key":"0107","mappings":{"default":{"default":"c accent aigu"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c accent circonflexe"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c point en chef"}},"category":"Ll"},{"key":"010D","mappings":{"default":{"default":"c caron"}},"category":"Ll"},{"key":"010F","mappings":{"default":{"default":"d caron"}},"category":"Ll"},{"key":"0113","mappings":{"default":{"default":"e macron"}},"category":"Ll"},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e brève"}}},{"key":"0117","mappings":{"default":{"default":"e point en chef"}},"category":"Ll"},{"key":"0119","mappings":{"default":{"default":"e ogonek"}},"category":"Ll"},{"key":"011B","mappings":{"default":{"default":"e caron"}},"category":"Ll"},{"key":"011D","mappings":{"default":{"default":"g accent circonflexe"}},"category":"Ll"},{"key":"011F","mappings":{"default":{"default":"g brève"}},"category":"Ll"},{"key":"0121","mappings":{"default":{"default":"g point en chef"}},"category":"Ll"},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g cédille"}}},{"key":"0125","mappings":{"default":{"default":"h accent circonflexe"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i tilde"}},"category":"Ll"},{"key":"012B","mappings":{"default":{"default":"i macron"}},"category":"Ll"},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i brève"}}},{"key":"012F","mappings":{"default":{"default":"i ogonek"}},"category":"Ll"},{"key":"0131","mappings":{"default":{"default":"i sans point"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j accent circonflexe"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k cédille"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l accent aigu"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l cédille"}},"category":"Ll"},{"key":"013E","mappings":{"default":{"default":"l caron"}},"category":"Ll"},{"key":"0140","mappings":{"default":{"default":"l point médian"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n accent aigu"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n cédille"}},"category":"Ll"},{"key":"0148","mappings":{"default":{"default":"n caron"}},"category":"Ll"},{"key":"014D","mappings":{"default":{"default":"o macron"}},"category":"Ll"},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o brève"}}},{"key":"0151","mappings":{"default":{"default":"o avec double accent aigu"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r accent aigu"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r cédille"}},"category":"Ll"},{"key":"0159","mappings":{"default":{"default":"r caron"}},"category":"Ll"},{"key":"015B","mappings":{"default":{"default":"s accent aigu"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s accent circonflexe"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s cédille"}},"category":"Ll"},{"key":"0161","mappings":{"default":{"default":"s caron"}},"category":"Ll"},{"key":"0163","mappings":{"default":{"default":"t cédille"}},"category":"Ll"},{"key":"0165","mappings":{"default":{"default":"t caron"}},"category":"Ll"},{"key":"0169","mappings":{"default":{"default":"u tilde"}},"category":"Ll"},{"key":"016B","mappings":{"default":{"default":"u macron"}},"category":"Ll"},{"key":"016D","mappings":{"default":{"default":"u brève"}},"category":"Ll"},{"key":"016F","mappings":{"default":{"default":"u rond en chef"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u avec double accent aigu"}},"category":"Ll"},{"key":"0173","mappings":{"default":{"default":"u ogonek"}},"category":"Ll"},{"key":"0175","mappings":{"default":{"default":"w accent circonflexe"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y accent circonflexe"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z accent aigu"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z point en chef"}},"category":"Ll"},{"key":"017E","mappings":{"default":{"default":"z caron"}},"category":"Ll"},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j caron"}}},{"key":"01F5","mappings":{"default":{"default":"g accent aigu"}},"category":"Ll"},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a double accent grave"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a brève renversée"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e double accent grave"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e brève renversée"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i double accent grave"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i brève renversée"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o double accent grave"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o brève renversée"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r double accent grave"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r brève renversée"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u double accent grave"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u brève renversée"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s virgule souscrite *"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t virgule souscrite *"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"a point en chef"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e cédille"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o point en chef"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y macron"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"j sans point"}}},{"key":"1E01","mappings":{"default":{"default":"a à rond souscrit"}},"category":"Ll"},{"key":"1E03","mappings":{"default":{"default":"b point en chef"}},"category":"Ll"},{"key":"1E05","mappings":{"default":{"default":"b point souscrit"}},"category":"Ll"},{"key":"1E07","mappings":{"default":{"default":"b ligne souscrite"}},"category":"Ll"},{"key":"1E0B","mappings":{"default":{"default":"d point en chef"}},"category":"Ll"},{"key":"1E0D","mappings":{"default":{"default":"d point souscrit"}},"category":"Ll"},{"key":"1E0F","mappings":{"default":{"default":"d ligne souscrite"}},"category":"Ll"},{"key":"1E11","mappings":{"default":{"default":"d cédille"}},"category":"Ll"},{"key":"1E13","mappings":{"default":{"default":"d accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E19","mappings":{"default":{"default":"e accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E1B","mappings":{"default":{"default":"e tilde souscrit"}},"category":"Ll"},{"key":"1E1F","mappings":{"default":{"default":"f point en chef"}},"category":"Ll"},{"key":"1E21","mappings":{"default":{"default":"g macron"}},"category":"Ll"},{"key":"1E23","mappings":{"default":{"default":"h point en chef"}},"category":"Ll"},{"key":"1E25","mappings":{"default":{"default":"h point souscrit"}},"category":"Ll"},{"key":"1E27","mappings":{"default":{"default":"h tréma"}},"category":"Ll"},{"key":"1E29","mappings":{"default":{"default":"h cédille"}},"category":"Ll"},{"key":"1E2B","mappings":{"default":{"default":"h brève souscrit"}},"category":"Ll"},{"key":"1E2D","mappings":{"default":{"default":"i tilde souscrit"}},"category":"Ll"},{"key":"1E31","mappings":{"default":{"default":"k accent aigu"}},"category":"Ll"},{"key":"1E33","mappings":{"default":{"default":"k point souscrit"}},"category":"Ll"},{"key":"1E35","mappings":{"default":{"default":"k ligne souscrite"}},"category":"Ll"},{"key":"1E37","mappings":{"default":{"default":"l point souscrit"}},"category":"Ll"},{"key":"1E3B","mappings":{"default":{"default":"l ligne souscrite"}},"category":"Ll"},{"key":"1E3D","mappings":{"default":{"default":"l accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E3F","mappings":{"default":{"default":"m accent aigu"}},"category":"Ll"},{"key":"1E41","mappings":{"default":{"default":"m point en chef"}},"category":"Ll"},{"key":"1E43","mappings":{"default":{"default":"m point souscrit"}},"category":"Ll"},{"key":"1E45","mappings":{"default":{"default":"n point en chef"}},"category":"Ll"},{"key":"1E47","mappings":{"default":{"default":"n point souscrit"}},"category":"Ll"},{"key":"1E49","mappings":{"default":{"default":"n ligne souscrite"}},"category":"Ll"},{"key":"1E4B","mappings":{"default":{"default":"n accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E55","mappings":{"default":{"default":"p accent aigu"}},"category":"Ll"},{"key":"1E57","mappings":{"default":{"default":"p point en chef"}},"category":"Ll"},{"key":"1E59","mappings":{"default":{"default":"r point en chef"}},"category":"Ll"},{"key":"1E5B","mappings":{"default":{"default":"r point souscrit"}},"category":"Ll"},{"key":"1E5F","mappings":{"default":{"default":"r ligne souscrite"}},"category":"Ll"},{"key":"1E61","mappings":{"default":{"default":"s point en chef"}},"category":"Ll"},{"key":"1E63","mappings":{"default":{"default":"s point souscrit"}},"category":"Ll"},{"key":"1E6B","mappings":{"default":{"default":"t point en chef"}},"category":"Ll"},{"key":"1E6D","mappings":{"default":{"default":"t point souscrit"}},"category":"Ll"},{"key":"1E6F","mappings":{"default":{"default":"t ligne souscrite"}},"category":"Ll"},{"key":"1E71","mappings":{"default":{"default":"t accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E73","mappings":{"default":{"default":"u tréma souscrit"}},"category":"Ll"},{"key":"1E75","mappings":{"default":{"default":"u tilde souscrit"}},"category":"Ll"},{"key":"1E77","mappings":{"default":{"default":"u accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E7D","mappings":{"default":{"default":"v tilde"}},"category":"Ll"},{"key":"1E7F","mappings":{"default":{"default":"v point souscrit"}},"category":"Ll"},{"key":"1E81","mappings":{"default":{"default":"w accent grave"}},"category":"Ll"},{"key":"1E83","mappings":{"default":{"default":"w accent aigu"}},"category":"Ll"},{"key":"1E85","mappings":{"default":{"default":"w tréma"}},"category":"Ll"},{"key":"1E87","mappings":{"default":{"default":"w point en chef"}},"category":"Ll"},{"key":"1E89","mappings":{"default":{"default":"w point souscrit"}},"category":"Ll"},{"key":"1E8B","mappings":{"default":{"default":"x point en chef"}},"category":"Ll"},{"key":"1E8D","mappings":{"default":{"default":"x tréma"}},"category":"Ll"},{"key":"1E8F","mappings":{"default":{"default":"y point en chef"}},"category":"Ll"},{"key":"1E91","mappings":{"default":{"default":"z accent circonflexe"}},"category":"Ll"},{"key":"1E93","mappings":{"default":{"default":"z point souscrit"}},"category":"Ll"},{"key":"1E95","mappings":{"default":{"default":"z ligne souscrite"}},"category":"Ll"},{"key":"1E96","mappings":{"default":{"default":"h ligne souscrite"}},"category":"Ll"},{"key":"1E97","mappings":{"default":{"default":"t tréma"}},"category":"Ll"},{"key":"1E98","mappings":{"default":{"default":"w rond en chef"}},"category":"Ll"},{"key":"1E99","mappings":{"default":{"default":"y rond en chef"}},"category":"Ll"},{"key":"1E9A","mappings":{"default":{"default":"a demi rond à droite"}},"category":"Ll"},{"key":"1EA1","mappings":{"default":{"default":"a point souscrit"}},"category":"Ll"},{"key":"1EA3","mappings":{"default":{"default":"a crochet en chef"}},"category":"Ll"},{"key":"1EB9","mappings":{"default":{"default":"e point souscrit"}},"category":"Ll"},{"key":"1EBB","mappings":{"default":{"default":"e crochet en chef"}},"category":"Ll"},{"key":"1EBD","mappings":{"default":{"default":"e tilde"}},"category":"Ll"},{"key":"1EC9","mappings":{"default":{"default":"i crochet en chef"}},"category":"Ll"},{"key":"1ECB","mappings":{"default":{"default":"i point souscrit"}},"category":"Ll"},{"key":"1ECD","mappings":{"default":{"default":"o point souscrit"}},"category":"Ll"},{"key":"1ECF","mappings":{"default":{"default":"o crochet en chef"}},"category":"Ll"},{"key":"1EE5","mappings":{"default":{"default":"u point souscrit"}},"category":"Ll"},{"key":"1EE7","mappings":{"default":{"default":"u crochet en chef"}},"category":"Ll"},{"key":"1EF3","mappings":{"default":{"default":"y accent grave"}},"category":"Ll"},{"key":"1EF5","mappings":{"default":{"default":"y point souscrit"}},"category":"Ll"},{"key":"1EF7","mappings":{"default":{"default":"y crochet en chef"}},"category":"Ll"},{"key":"1EF9","mappings":{"default":{"default":"y tilde"}},"category":"Ll"}]
 ,
-"es/speed.js": 
-[{"locale":"es"},{"key":"kt","names":["kt","kt."],"mappings":{"default":{"default":"nudo"}}},{"key":"mph","names":["mph"],"mappings":{"default":{"default":"millas por hora"}}},{"key":"rpm","names":["rpm"],"mappings":{"default":{"default":"revoluciones por minuto"}}},{"key":"kmh","names":["kmh"],"mappings":{"default":{"default":"kilómetros por hora"}}}]
+"fr/symbols/latin-rest.js": 
+[{"locale":"fr"},{"category":"Ll","key":"210E","mappings":{"default":{"default":"constante de planck"}}},{"category":"Mn","key":"0363","mappings":{"default":{"default":"diacritique a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"diacritique e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"diacritique i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"diacritique o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"diacritique u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"diacritique c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"diacritique d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"diacritique h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"diacritique m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"diacritique r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"diacritique t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"diacritique v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"diacritique x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"i souscrit"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"r souscrit"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"u souscrit"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"v souscrit"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"diacritique r souscrite"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"diacritique a ouvert aplati suscrit"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"diacritique ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"diacritique ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"diacritique av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"diacritique c cédille"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"diacritique d insulaire"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"diacritique eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"diacritique g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"diacritique petite g majuscule"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"diacritique k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"diacritique l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"diacritique petite l majuscule"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"diacritique petite m majuscule"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"diacritique n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"diacritique petite n majuscule"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"diacritique petite r majuscule"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"diacritique r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"diacritique s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"diacritique s long"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"diacritique z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"exposant i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"exposant n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"indice a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"indice e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"indice o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"indice x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"indice schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"souscrite h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"souscrite k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"souscrite l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"souscrite m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"souscrite n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"souscrite p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"souscrite s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"souscrite t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"j souscrite"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"s majuscule en écaille crochetée"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"c majuscule en italique cerclée"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"r majuscule en italique cerclée"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"P majuscule encadrée et en inversion avec croix"}}}]
 ,
-"es/temperature.js": 
-[{"locale":"es"},{"key":"F","names":["F","F.","°F"],"mappings":{"default":{"default":"Fahrenheit"}}},{"key":"C","names":["C","°C"],"mappings":{"default":{"default":"centígrados"}}},{"key":"K","names":["K","°K"],"mappings":{"default":{"default":"Kelvin"}}}]
+"fr/symbols/latin-upper-double-accent.js": 
+[{"locale":"fr"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"U majuscule trémaa et macron"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"U majuscule trémaa et accent aigu"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"U majuscule trémaa et caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"U majuscule trémaa et accent grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"A majuscule trémaa et macron"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"A majuscule point en chef et macron"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"O majuscule ogonek et macron"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"A majuscule rond en chef et accent aigu"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"O majuscule tréma et macron"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"O majuscule tilde et macron"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"O majuscule point en chef et macron"}}},{"key":"1E08","mappings":{"default":{"default":"C cédille et accent aigu majuscule"}},"category":"Lu"},{"key":"1E14","mappings":{"default":{"default":"E macron et accent grave majuscule"}},"category":"Lu"},{"key":"1E16","mappings":{"default":{"default":"E macron et accent aigu majuscule"}},"category":"Lu"},{"key":"1E1C","mappings":{"default":{"default":"E cédille et brève majuscule"}},"category":"Lu"},{"key":"1E2E","mappings":{"default":{"default":"I tréma et accent aigu majuscule"}},"category":"Lu"},{"key":"1E38","mappings":{"default":{"default":"L point souscrit et macron majuscule"}},"category":"Lu"},{"key":"1E4C","mappings":{"default":{"default":"O tilde et accent aigu majuscule"}},"category":"Lu"},{"key":"1E4E","mappings":{"default":{"default":"O tilde et tréma majuscule"}},"category":"Lu"},{"key":"1E50","mappings":{"default":{"default":"O macron et accent grave majuscule"}},"category":"Lu"},{"key":"1E52","mappings":{"default":{"default":"O macron et accent aigu majuscule"}},"category":"Lu"},{"key":"1E5C","mappings":{"default":{"default":"R point souscrit et macron majuscule"}},"category":"Lu"},{"key":"1E64","mappings":{"default":{"default":"S accent aigu et point en chef majuscule"}},"category":"Lu"},{"key":"1E66","mappings":{"default":{"default":"S caron et point en chef majuscule"}},"category":"Lu"},{"key":"1E68","mappings":{"default":{"default":"S point souscrit et point en chef majuscule"}},"category":"Lu"},{"key":"1E78","mappings":{"default":{"default":"U tilde et accent aigu majuscule"}},"category":"Lu"},{"key":"1E7A","mappings":{"default":{"default":"U macron et tréma majuscule"}},"category":"Lu"},{"key":"1EA4","mappings":{"default":{"default":"A accent circonflexe et accent aigu majuscule"}},"category":"Lu"},{"key":"1EA6","mappings":{"default":{"default":"A accent circonflexe et accent grave majuscule"}},"category":"Lu"},{"key":"1EA8","mappings":{"default":{"default":"A accent circonflexe et crochet en chef majuscule"}},"category":"Lu"},{"key":"1EAA","mappings":{"default":{"default":"A accent circonflexe et tilde majuscule"}},"category":"Lu"},{"key":"1EAC","mappings":{"default":{"default":"A accent circonflexe et point souscrit majuscule"}},"category":"Lu"},{"key":"1EAE","mappings":{"default":{"default":"A brève et accent aigu majuscule"}},"category":"Lu"},{"key":"1EB0","mappings":{"default":{"default":"A brève et accent grave majuscule"}},"category":"Lu"},{"key":"1EB2","mappings":{"default":{"default":"A brève et crochet en chef majuscule"}},"category":"Lu"},{"key":"1EB4","mappings":{"default":{"default":"A brève et tilde majuscule"}},"category":"Lu"},{"key":"1EB6","mappings":{"default":{"default":"A brève et point souscrit majuscule"}},"category":"Lu"},{"key":"1EBE","mappings":{"default":{"default":"E accent circonflexe et accent aigu majuscule"}},"category":"Lu"},{"key":"1EC0","mappings":{"default":{"default":"E accent circonflexe et accent grave majuscule"}},"category":"Lu"},{"key":"1EC2","mappings":{"default":{"default":"E accent circonflexe et crochet en chef majuscule"}},"category":"Lu"},{"key":"1EC4","mappings":{"default":{"default":"E accent circonflexe et tilde majuscule"}},"category":"Lu"},{"key":"1EC6","mappings":{"default":{"default":"E accent circonflexe et point souscrit majuscule"}},"category":"Lu"},{"key":"1ED0","mappings":{"default":{"default":"O accent circonflexe et accent aigu majuscule"}},"category":"Lu"},{"key":"1ED2","mappings":{"default":{"default":"O accent circonflexe et accent grave majuscule"}},"category":"Lu"},{"key":"1ED4","mappings":{"default":{"default":"O accent circonflexe et crochet en chef majuscule"}},"category":"Lu"},{"key":"1ED6","mappings":{"default":{"default":"O accent circonflexe et tilde majuscule"}},"category":"Lu"},{"key":"1ED8","mappings":{"default":{"default":"O accent circonflexe et point souscrit majuscule"}},"category":"Lu"},{"key":"1EDA","mappings":{"default":{"default":"O cornu accent aigu majuscule"}},"category":"Lu"},{"key":"1EDC","mappings":{"default":{"default":"O cornu accent grave majuscule"}},"category":"Lu"},{"key":"1EDE","mappings":{"default":{"default":"O cornu crochet en chef majuscule"}},"category":"Lu"},{"key":"1EE0","mappings":{"default":{"default":"O cornu tilde majuscule"}},"category":"Lu"},{"key":"1EE2","mappings":{"default":{"default":"O cornu point souscrit majuscule"}},"category":"Lu"},{"key":"1EE8","mappings":{"default":{"default":"U cornu accent aigu majuscule"}},"category":"Lu"},{"key":"1EEA","mappings":{"default":{"default":"U cornu accent grave majuscule"}},"category":"Lu"},{"key":"1EEC","mappings":{"default":{"default":"U cornu crochet en chef majuscule"}},"category":"Lu"},{"key":"1EEE","mappings":{"default":{"default":"U cornu tilde majuscule"}},"category":"Lu"},{"key":"1EF0","mappings":{"default":{"default":"U cornu point souscrit majuscule"}},"category":"Lu"}]
 ,
-"es/time.js": 
-[{"locale":"es"},{"key":"ns","names":["ns"],"mappings":{"default":{"default":"nanosegundos"}},"category":"time"},{"key":"µs","names":["µs"],"mappings":{"default":{"default":"microsegundos"}},"category":"time"},{"key":"ms","names":["ms"],"mappings":{"default":{"default":"milisegundos"}},"category":"time"},{"key":"s","names":["s"],"mappings":{"default":{"default":"segundos"}},"category":"time"},{"key":"min","names":["min"],"mappings":{"default":{"default":"minutos"}},"category":"time"},{"key":"h","names":["h","hr"],"mappings":{"default":{"default":"hora"}},"category":"time"}]
+"fr/symbols/latin-upper-single-accent.js": 
+[{"locale":"fr"},{"key":"00C0","mappings":{"default":{"default":"A accent grave majuscule"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"A accent aigu majuscule"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"A accent circonflexe majuscule"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"A tilde majuscule"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"A tréma majuscule"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"angstrom"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"C cédille majuscule"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"E accent grave majuscule"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"E accent aigu majuscule"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"E accent circonflexe majuscule"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"E tréma majuscule"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"I accent grave majuscule"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"I accent aigu majuscule"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"I accent circonflexe majuscule"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"I tréma majuscule"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"N tilde majuscule"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"O accent grave majuscule"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"O accent aigu majuscule"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"O accent circonflexe majuscule"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"O tilde majuscule"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"O tréma majuscule"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"U accent grave majuscule"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"U accent aigu majuscule"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"U accent circonflexe majuscule"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"U tréma majuscule"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"Y accent aigu majuscule"}},"category":"Lu"},{"key":"0100","mappings":{"default":{"default":"A macron majuscule"}},"category":"Lu"},{"key":"0102","mappings":{"default":{"default":"A brève majuscule"}},"category":"Lu"},{"key":"0104","mappings":{"default":{"default":"A ogonek majuscule"}},"category":"Lu"},{"key":"0106","mappings":{"default":{"default":"C accent aigu majuscule"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"C accent circonflexe majuscule"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"C point en chef majuscule"}},"category":"Lu"},{"key":"010C","mappings":{"default":{"default":"C caron majuscule"}},"category":"Lu"},{"key":"010E","mappings":{"default":{"default":"D caron majuscule"}},"category":"Lu"},{"key":"0112","mappings":{"default":{"default":"E macron majuscule"}},"category":"Lu"},{"category":"Lu","key":"0114","mappings":{"default":{"default":"E brève majuscule"}}},{"key":"0116","mappings":{"default":{"default":"E point en chef majuscule"}},"category":"Lu"},{"key":"0118","mappings":{"default":{"default":"E ogonek majuscule"}},"category":"Lu"},{"key":"011A","mappings":{"default":{"default":"E caron majuscule"}},"category":"Lu"},{"key":"011C","mappings":{"default":{"default":"G accent circonflexe majuscule"}},"category":"Lu"},{"key":"011E","mappings":{"default":{"default":"G brève majuscule"}},"category":"Lu"},{"key":"0120","mappings":{"default":{"default":"G point en chef majuscule"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"G cédille majuscule"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"H accent circonflexe majuscule"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"I tilde majuscule"}},"category":"Lu"},{"key":"012A","mappings":{"default":{"default":"I macron majuscule"}},"category":"Lu"},{"category":"Lu","key":"012C","mappings":{"default":{"default":"I brève majuscule"}}},{"key":"012E","mappings":{"default":{"default":"I ogonek majuscule"}},"category":"Lu"},{"key":"0130","mappings":{"default":{"default":"I point en chef majuscule"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"J accent circonflexe majuscule"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"K cédille majuscule"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"L accent aigu majuscule"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"L cédille majuscule"}},"category":"Lu"},{"key":"013D","mappings":{"default":{"default":"L caron majuscule"}},"category":"Lu"},{"key":"013F","mappings":{"default":{"default":"L point médian majuscule"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"N accent aigu majuscule"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"N cédille majuscule"}},"category":"Lu"},{"key":"0147","mappings":{"default":{"default":"N caron majuscule"}},"category":"Lu"},{"key":"014C","mappings":{"default":{"default":"O macron majuscule"}},"category":"Lu"},{"category":"Lu","key":"014E","mappings":{"default":{"default":"O brève majuscule"}}},{"key":"0150","mappings":{"default":{"default":"O avec double accent aigu majuscule"}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"R accent aigu majuscule"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"R cédille majuscule"}},"category":"Lu"},{"key":"0158","mappings":{"default":{"default":"R caron majuscule"}},"category":"Lu"},{"key":"015A","mappings":{"default":{"default":"S accent aigu majuscule"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"S accent circonflexe majuscule"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"S cédille majuscule"}},"category":"Lu"},{"key":"0160","mappings":{"default":{"default":"S caron majuscule"}},"category":"Lu"},{"key":"0162","mappings":{"default":{"default":"T cédille majuscule"}},"category":"Lu"},{"key":"0164","mappings":{"default":{"default":"T caron majuscule"}},"category":"Lu"},{"key":"0168","mappings":{"default":{"default":"U tilde majuscule"}},"category":"Lu"},{"key":"016A","mappings":{"default":{"default":"U macron majuscule"}},"category":"Lu"},{"key":"016C","mappings":{"default":{"default":"U brève majuscule"}},"category":"Lu"},{"key":"016E","mappings":{"default":{"default":"U rond en chef majuscule"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"U avec double accent aigu majuscule"}},"category":"Lu"},{"key":"0172","mappings":{"default":{"default":"U ogonek majuscule"}},"category":"Lu"},{"key":"0174","mappings":{"default":{"default":"W accent circonflexe majuscule"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"Y accent circonflexe majuscule"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"Y tréma majuscule"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"Z accent aigu majuscule"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"Z point en chef majuscule"}},"category":"Lu"},{"key":"017D","mappings":{"default":{"default":"Z caron majuscule"}},"category":"Lu"},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"A caron majuscule"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"I caron majuscule"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"O caron majuscule"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"U caron majuscule"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"G caron majuscule"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"K caron majuscule"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"O ogonek majuscule"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"G accent aigu majuscule"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"N grave majuscule"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"A double accent grave majuscule"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"A brève renversée majuscule"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"E double accent grave majuscule"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"E brève renversée majuscule"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"I double accent grave majuscule"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"I brève renversée majuscule"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"O double accent grave majuscule"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"O brève renversée majuscule"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"R double accent grave majuscule"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"R brève renversée majuscule"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"U double accent grave majuscule"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"U brève renversée majuscule"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"S virgule souscrite * majuscule"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"T virgule souscrite * majuscule"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"H caron majuscule"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"A point en chef majuscule"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"E cédille majuscule"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"O point en chef majuscule"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"Y macron majuscule"}}},{"key":"1E00","mappings":{"default":{"default":"A à rond souscrit majuscule"}},"category":"Lu"},{"key":"1E02","mappings":{"default":{"default":"B point en chef majuscule"}},"category":"Lu"},{"key":"1E04","mappings":{"default":{"default":"B point souscrit majuscule"}},"category":"Lu"},{"key":"1E06","mappings":{"default":{"default":"B ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E0A","mappings":{"default":{"default":"D point en chef majuscule"}},"category":"Lu"},{"key":"1E0C","mappings":{"default":{"default":"D point souscrit majuscule"}},"category":"Lu"},{"key":"1E0E","mappings":{"default":{"default":"D ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E10","mappings":{"default":{"default":"D cédille majuscule"}},"category":"Lu"},{"key":"1E12","mappings":{"default":{"default":"D accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E18","mappings":{"default":{"default":"E accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E1A","mappings":{"default":{"default":"E tilde souscrit majuscule"}},"category":"Lu"},{"key":"1E1E","mappings":{"default":{"default":"F point en chef majuscule"}},"category":"Lu"},{"key":"1E20","mappings":{"default":{"default":"G macron majuscule"}},"category":"Lu"},{"key":"1E22","mappings":{"default":{"default":"H point en chef majuscule"}},"category":"Lu"},{"key":"1E24","mappings":{"default":{"default":"H point souscrit majuscule"}},"category":"Lu"},{"key":"1E26","mappings":{"default":{"default":"H tréma majuscule"}},"category":"Lu"},{"key":"1E28","mappings":{"default":{"default":"H cédille majuscule"}},"category":"Lu"},{"key":"1E2A","mappings":{"default":{"default":"H brève souscrit majuscule"}},"category":"Lu"},{"key":"1E2C","mappings":{"default":{"default":"I tilde souscrit majuscule"}},"category":"Lu"},{"key":"1E30","mappings":{"default":{"default":"K accent aigu majuscule"}},"category":"Lu"},{"key":"1E32","mappings":{"default":{"default":"K point souscrit majuscule"}},"category":"Lu"},{"key":"1E34","mappings":{"default":{"default":"K ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E36","mappings":{"default":{"default":"L point souscrit majuscule"}},"category":"Lu"},{"key":"1E3A","mappings":{"default":{"default":"L ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E3C","mappings":{"default":{"default":"L accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E3E","mappings":{"default":{"default":"M accent aigu majuscule"}},"category":"Lu"},{"key":"1E40","mappings":{"default":{"default":"M point en chef majuscule"}},"category":"Lu"},{"key":"1E42","mappings":{"default":{"default":"M point souscrit majuscule"}},"category":"Lu"},{"key":"1E44","mappings":{"default":{"default":"N point en chef majuscule"}},"category":"Lu"},{"key":"1E46","mappings":{"default":{"default":"N point souscrit majuscule"}},"category":"Lu"},{"key":"1E48","mappings":{"default":{"default":"N ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E4A","mappings":{"default":{"default":"N accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E54","mappings":{"default":{"default":"P accent aigu majuscule"}},"category":"Lu"},{"key":"1E56","mappings":{"default":{"default":"P point en chef majuscule"}},"category":"Lu"},{"key":"1E58","mappings":{"default":{"default":"R point en chef majuscule"}},"category":"Lu"},{"key":"1E5A","mappings":{"default":{"default":"R point souscrit majuscule"}},"category":"Lu"},{"key":"1E5E","mappings":{"default":{"default":"R ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E60","mappings":{"default":{"default":"S point en chef majuscule"}},"category":"Lu"},{"key":"1E62","mappings":{"default":{"default":"S point souscrit majuscule"}},"category":"Lu"},{"key":"1E6A","mappings":{"default":{"default":"T point en chef majuscule"}},"category":"Lu"},{"key":"1E6C","mappings":{"default":{"default":"T point souscrit majuscule"}},"category":"Lu"},{"key":"1E6E","mappings":{"default":{"default":"T ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E70","mappings":{"default":{"default":"T accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E72","mappings":{"default":{"default":"U tréma souscrit majuscule"}},"category":"Lu"},{"key":"1E74","mappings":{"default":{"default":"U tilde souscrit majuscule"}},"category":"Lu"},{"key":"1E76","mappings":{"default":{"default":"U accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E7C","mappings":{"default":{"default":"V tilde majuscule"}},"category":"Lu"},{"key":"1E7E","mappings":{"default":{"default":"V point souscrit majuscule"}},"category":"Lu"},{"key":"1E80","mappings":{"default":{"default":"W accent grave majuscule"}},"category":"Lu"},{"key":"1E82","mappings":{"default":{"default":"W accent aigu majuscule"}},"category":"Lu"},{"key":"1E84","mappings":{"default":{"default":"W tréma majuscule"}},"category":"Lu"},{"key":"1E86","mappings":{"default":{"default":"W point en chef majuscule"}},"category":"Lu"},{"key":"1E88","mappings":{"default":{"default":"W point souscrit majuscule"}},"category":"Lu"},{"key":"1E8A","mappings":{"default":{"default":"X point en chef majuscule"}},"category":"Lu"},{"key":"1E8C","mappings":{"default":{"default":"X tréma majuscule"}},"category":"Lu"},{"key":"1E8E","mappings":{"default":{"default":"Y point en chef majuscule"}},"category":"Lu"},{"key":"1E90","mappings":{"default":{"default":"Z accent circonflexe majuscule"}},"category":"Lu"},{"key":"1E92","mappings":{"default":{"default":"Z point souscrit majuscule"}},"category":"Lu"},{"key":"1E94","mappings":{"default":{"default":"Z ligne souscrite majuscule"}},"category":"Lu"},{"key":"1EA0","mappings":{"default":{"default":"A point souscrit majuscule"}},"category":"Lu"},{"key":"1EA2","mappings":{"default":{"default":"A crochet en chef majuscule"}},"category":"Lu"},{"key":"1EB8","mappings":{"default":{"default":"E point souscrit majuscule"}},"category":"Lu"},{"key":"1EBA","mappings":{"default":{"default":"E crochet en chef majuscule"}},"category":"Lu"},{"key":"1EBC","mappings":{"default":{"default":"E tilde majuscule"}},"category":"Lu"},{"key":"1EC8","mappings":{"default":{"default":"I crochet en chef majuscule"}},"category":"Lu"},{"key":"1ECA","mappings":{"default":{"default":"I point souscrit majuscule"}},"category":"Lu"},{"key":"1ECC","mappings":{"default":{"default":"O point souscrit majuscule"}},"category":"Lu"},{"key":"1ECE","mappings":{"default":{"default":"O crochet en chef majuscule"}},"category":"Lu"},{"key":"1EE4","mappings":{"default":{"default":"U point souscrit majuscule"}},"category":"Lu"},{"key":"1EE6","mappings":{"default":{"default":"U crochet en chef majuscule"}},"category":"Lu"},{"key":"1EF2","mappings":{"default":{"default":"Y accent grave majuscule"}},"category":"Lu"},{"key":"1EF4","mappings":{"default":{"default":"Y point souscrit majuscule"}},"category":"Lu"},{"key":"1EF6","mappings":{"default":{"default":"Y crochet en chef majuscule"}},"category":"Lu"},{"key":"1EF8","mappings":{"default":{"default":"Y tilde majuscule"}},"category":"Lu"}]
 ,
-"es/volume.js": 
-[{"locale":"es"},{"key":"bbl","names":["bbl.","bbl"],"mappings":{"default":{"default":"barrile"}},"category":"volume"},{"key":"cu","names":["cu","cu."],"mappings":{"default":{"default":"cúbico"}},"category":"volume"},{"key":"fl. oz.","names":["fl. oz."],"mappings":{"default":{"default":"onzas líquidas"}},"category":"volume"},{"key":"gal","names":["gal","gal."],"mappings":{"default":{"default":"galone"}},"category":"volume"},{"key":"pt","names":["pt","pt."],"mappings":{"default":{"default":"pinta"}},"category":"volume"},{"key":"qt","names":["qt","qt."],"mappings":{"default":{"default":"quart"}},"category":"volume"},{"key":"tbsp","names":["tbsp","tbsp."],"mappings":{"default":{"default":"cuchara"}},"category":"volume"},{"key":"tsp","names":["tsp","tsp."],"mappings":{"default":{"default":"cucharilla"}},"category":"volume"},{"key":"cc","names":["cc"],"mappings":{"default":{"default":"centímetros cúbicos"}},"category":"volume"},{"key":"kl","names":["kl"],"mappings":{"default":{"default":"kilolitro"}},"category":"volume"},{"key":"l","names":["l"],"mappings":{"default":{"default":"litro"}},"category":"volume"},{"key":"ml","names":["ml"],"mappings":{"default":{"default":"mililitro"}},"category":"volume"}]
+"fr/symbols/math_angles.js": 
+[{"locale":"fr"},{"key":"22BE","mappings":{"default":{"default":"angle droit avec arc"}},"category":"Sm"},{"key":"237C","mappings":{"default":{"default":"angle droit avec flèche en zigzag vers le bas"}},"category":"Sm"},{"key":"27C0","mappings":{"default":{"default":"angle tridimensionnel"}},"category":"Sm"},{"category":"Sm","key":"299B","mappings":{"default":{"default":"angle mesuré s'ouvrant vers la gauche"}}},{"category":"Sm","key":"299C","mappings":{"default":{"default":"variante d'angle avec carré"}}},{"key":"299D","mappings":{"default":{"default":"angle droit mesuré pointé"}},"category":"Sm"},{"category":"Sm","key":"299E","mappings":{"default":{"default":"angle avec s inscrit"}}},{"category":"Sm","key":"299F","mappings":{"default":{"default":"angle aigu"}}},{"category":"Sm","key":"29A0","mappings":{"default":{"default":"angle sphérique s'ouvrant vers la gauche"}}},{"category":"Sm","key":"29A1","mappings":{"default":{"default":"angle sphérique s'ouvrant vers le haut"}}},{"category":"Sm","key":"29A2","mappings":{"default":{"default":"angle culbuté"}}},{"category":"Sm","key":"29A3","mappings":{"default":{"default":"angle réfléchi"}}},{"key":"29A4","mappings":{"default":{"default":"angle à barre souscrite"}},"category":"Sm"},{"key":"29A5","mappings":{"default":{"default":"angle à barre souscrite réfléchie"}},"category":"Sm"},{"key":"29A6","mappings":{"default":{"default":"angle oblique s'ouvrant vers le haut"}},"category":"Sm"},{"key":"29A7","mappings":{"default":{"default":"angle oblique s'ouvrant vers le bas"}},"category":"Sm"},{"key":"29A8","mappings":{"default":{"default":"angle calculé à bras vers l'est et bras fléché vers le nord est"}},"category":"Sm"},{"key":"29A9","mappings":{"default":{"default":"angle calculé à bras vers l'ouest et bras fléché vers le nord ouest"}},"category":"Sm"},{"key":"29AA","mappings":{"default":{"default":"angle calculé à bras vers l'est et bras fléché vers le sud est"}},"category":"Sm"},{"key":"29AB","mappings":{"default":{"default":"angle calculé à bras vers l'ouest et bras fléché vers le sud ouest"}},"category":"Sm"},{"key":"29AC","mappings":{"default":{"default":"angle calculé à bras vers le nord et bras fléché vers le nord est"}},"category":"Sm"},{"key":"29AD","mappings":{"default":{"default":"angle calculé à bras vers le nord et bras fléché vers le nord ouest"}},"category":"Sm"},{"key":"29AE","mappings":{"default":{"default":"angle calculé à bras vers le sud et bras fléché vers le sud est"}},"category":"Sm"},{"key":"29AF","mappings":{"default":{"default":"angle calculé à bras vers le sud et bras fléché vers le sud ouest"}},"category":"Sm"}]
+,
+"fr/symbols/math_arrows.js": 
+[{"locale":"fr"},{"key":"2190","mappings":{"default":{"default":"flèche gauche"}},"category":"Sm"},{"key":"2191","mappings":{"default":{"default":"flèche vers le haut"}},"category":"Sm"},{"key":"2192","mappings":{"default":{"default":"flèche droite"}},"category":"Sm"},{"key":"2193","mappings":{"default":{"default":"flèche vers le bas"}},"category":"Sm"},{"key":"2194","mappings":{"default":{"default":"flèche bilatérale"}},"category":"Sm"},{"key":"2195","mappings":{"default":{"default":"flèche haut et bas"}},"category":"So"},{"key":"2196","mappings":{"default":{"default":"flèche nord ouest"}},"category":"So"},{"key":"2197","mappings":{"default":{"default":"flèche nord est"}},"category":"So"},{"key":"2198","mappings":{"default":{"default":"flèche sud est"}},"category":"So"},{"key":"2199","mappings":{"default":{"default":"flèche sud ouest"}},"category":"So"},{"key":"219A","mappings":{"default":{"default":"flèche barrée gauche"}},"category":"Sm"},{"key":"219B","mappings":{"default":{"default":"flèche barrée droite"}},"category":"Sm"},{"key":"219C","mappings":{"default":{"default":"flèche ondulée gauche"}},"category":"So"},{"key":"219D","mappings":{"default":{"default":"flèche ondulée droite"}},"category":"So"},{"key":"219E","mappings":{"default":{"default":"flèche à deux pointes gauche"}},"category":"So"},{"key":"219F","mappings":{"default":{"default":"flèche à deux pointes vers le haut"}},"category":"So"},{"key":"21A0","mappings":{"default":{"default":"flèche à deux pointes droite"}},"category":"Sm"},{"key":"21A1","mappings":{"default":{"default":"flèche à deux pointes vers le bas"}},"category":"So"},{"key":"21A2","mappings":{"default":{"default":"flèche empennée gauche"}},"category":"So"},{"key":"21A3","mappings":{"default":{"default":"flèche empennée droite"}},"category":"Sm"},{"key":"21A4","mappings":{"default":{"default":"flèche d'un taquet gauche"}},"category":"So"},{"key":"21A5","mappings":{"default":{"default":"flèche d'un taquet vers le haut"}},"category":"So"},{"key":"21A6","mappings":{"default":{"default":"flèche d'un taquet droite"}},"category":"Sm"},{"key":"21A7","mappings":{"default":{"default":"flèche d'un taquet vers le bas"}},"category":"So"},{"key":"21A8","mappings":{"default":{"default":"flèche haut bas sur base"}},"category":"So"},{"key":"21A9","mappings":{"default":{"default":"flèche avec crochet gauche"}},"category":"So"},{"key":"21AA","mappings":{"default":{"default":"flèche avec crochet droite"}},"category":"So"},{"key":"21AB","mappings":{"default":{"default":"flèche avec boucle gauche"}},"category":"So"},{"key":"21AC","mappings":{"default":{"default":"flèche avec boucle droite"}},"category":"So"},{"key":"21AD","mappings":{"default":{"default":"flèche ondulée bilatérale"}},"category":"So"},{"key":"21AE","mappings":{"default":{"default":"flèche barrée bilatérale"}},"category":"Sm"},{"key":"21AF","mappings":{"default":{"default":"flèche vers le bas en zigzag"}},"category":"So"},{"key":"21B0","mappings":{"default":{"default":"flèche vers le haut avec pointe gauche"}},"category":"So"},{"key":"21B1","mappings":{"default":{"default":"flèche vers le haut avec pointe droite"}},"category":"So"},{"key":"21B2","mappings":{"default":{"default":"flèche vers le bas avec pointe gauche"}},"category":"So"},{"key":"21B3","mappings":{"default":{"default":"flèche vers le bas avec pointe droite"}},"category":"So"},{"key":"21B4","mappings":{"default":{"default":"flèche vers le bas avec coin droit"}},"category":"So"},{"key":"21B5","mappings":{"default":{"default":"flèche vers le bas avec coin gauche"}},"category":"So"},{"key":"21B6","mappings":{"default":{"default":"flèche semi circulaire en sens positif"}},"category":"So"},{"key":"21B7","mappings":{"default":{"default":"flèche semi circulaire en sens négatif"}},"category":"So"},{"key":"21B8","mappings":{"default":{"default":"flèche nord ouest vers une barre horizontale longue"}},"category":"So"},{"key":"21B9","mappings":{"default":{"default":"flèche gauche vers un taquet sur flèche droite vers un taquet"}},"category":"So"},{"key":"21BA","mappings":{"default":{"default":"flèche en sens positif à cercle ouvert"}},"category":"So"},{"key":"21BB","mappings":{"default":{"default":"flèche en sens négatif à cercle ouvert"}},"category":"So"},{"key":"21C4","mappings":{"default":{"default":"flèche vers le haut par dessus flèche gauche"}},"category":"So"},{"key":"21C5","mappings":{"default":{"default":"flèche vers le haut à gauche d'une flèche vers le bas"}},"category":"So"},{"key":"21C6","mappings":{"default":{"default":"flèche gauche par dessus flèche droite"}},"category":"So"},{"key":"21C7","mappings":{"default":{"default":"paire de flèches gauche"}},"category":"So"},{"key":"21C8","mappings":{"default":{"default":"paire de flèches vers le haut"}},"category":"So"},{"key":"21C9","mappings":{"default":{"default":"paire de flèches droite"}},"category":"So"},{"key":"21CA","mappings":{"default":{"default":"paire de flèches vers le bas"}},"category":"So"},{"key":"21CD","mappings":{"default":{"default":"double flèche barrée gauche"}},"category":"So"},{"key":"21CE","mappings":{"default":{"default":"double flèche barrée bilatérale"}},"category":"Sm"},{"key":"21CF","mappings":{"default":{"default":"double flèche barrée droite"}},"category":"Sm"},{"key":"21D0","mappings":{"default":{"default":"double flèche gauche"}},"category":"So"},{"key":"21D1","mappings":{"default":{"default":"double flèche vers le haut"}},"category":"So"},{"key":"21D2","mappings":{"default":{"default":"double flèche droite"}},"category":"Sm"},{"key":"21D3","mappings":{"default":{"default":"double flèche vers le bas"}},"category":"So"},{"key":"21D4","mappings":{"default":{"default":"double flèche bilatérale"}},"category":"Sm"},{"key":"21D5","mappings":{"default":{"default":"double flèche haut bas"}},"category":"So"},{"key":"21D6","mappings":{"default":{"default":"double flèche nord ouest"}},"category":"So"},{"key":"21D7","mappings":{"default":{"default":"double flèche nord est"}},"category":"So"},{"key":"21D8","mappings":{"default":{"default":"double flèche sud est"}},"category":"So"},{"key":"21D9","mappings":{"default":{"default":"double flèche sud ouest"}},"category":"So"},{"key":"21DA","mappings":{"default":{"default":"triple flèche gauche"}},"category":"So"},{"key":"21DB","mappings":{"default":{"default":"triple flèche droite"}},"category":"So"},{"key":"21DC","mappings":{"default":{"default":"flèche en tire bouchon gauche"}},"category":"So"},{"key":"21DD","mappings":{"default":{"default":"flèche en tire bouchon droite"}},"category":"So"},{"key":"21DE","mappings":{"default":{"default":"flèche vers le haut avec double barre"}},"category":"So"},{"key":"21DF","mappings":{"default":{"default":"flèche vers le bas avec double barre"}},"category":"So"},{"key":"21E0","mappings":{"default":{"default":"flèche pointillée gauche"}},"category":"So"},{"key":"21E1","mappings":{"default":{"default":"flèche pointillée vers le haut"}},"category":"So"},{"key":"21E2","mappings":{"default":{"default":"flèche pointillée droite"}},"category":"So"},{"key":"21E3","mappings":{"default":{"default":"flèche pointillée vers le bas"}},"category":"So"},{"key":"21E4","mappings":{"default":{"default":"flèche gauche vers un taquet"}},"category":"So"},{"key":"21E5","mappings":{"default":{"default":"flèche droite vers un taquet"}},"category":"So"},{"key":"21E6","mappings":{"default":{"default":"flèche blanche gauche"}},"category":"So"},{"key":"21E7","mappings":{"default":{"default":"flèche blanche vers le haut"}},"category":"So"},{"key":"21E8","mappings":{"default":{"default":"flèche blanche droite"}},"category":"So"},{"key":"21E9","mappings":{"default":{"default":"flèche blanche vers le bas"}},"category":"So"},{"key":"21EA","mappings":{"default":{"default":"flèche blanche vers le haut à partir d'un taquet"}},"category":"So"},{"category":"So","key":"21EB","mappings":{"default":{"default":"flèche blanche vers le haut sur socle"}}},{"category":"So","key":"21EC","mappings":{"default":{"default":"flèche blanche vers le haut sur socle et trait horizontal"}}},{"category":"So","key":"21ED","mappings":{"default":{"default":"flèche blanche vers le haut sur socle et barre verticale"}}},{"category":"So","key":"21EE","mappings":{"default":{"default":"double flèche blanche vers le haut"}}},{"category":"So","key":"21EF","mappings":{"default":{"default":"double flèche blanche vers le haut sur socle"}}},{"category":"So","key":"21F0","mappings":{"default":{"default":"flèche blanche vers la droite appuyée sur mur"}}},{"category":"So","key":"21F1","mappings":{"default":{"default":"flèche nord ouest en encoignure"}}},{"category":"So","key":"21F2","mappings":{"default":{"default":"flèche sud est en encoignure"}}},{"category":"So","key":"21F3","mappings":{"default":{"default":"flèche blanche vers le haut et le bas"}}},{"category":"Sm","key":"21F4","mappings":{"default":{"default":"flèche vers la droite à petit cercle"}}},{"key":"21F5","mappings":{"default":{"default":"flèche descendante à gauche d'une flèche montante"}},"category":"Sm"},{"category":"Sm","key":"21F6","mappings":{"default":{"default":"trois flèches vers la droite"}}},{"category":"Sm","key":"21F7","mappings":{"default":{"default":"flèche vers la gauche barrée verticalement"}}},{"category":"Sm","key":"21F8","mappings":{"default":{"default":"flèche vers la droite barrée verticalement"}}},{"category":"Sm","key":"21F9","mappings":{"default":{"default":"flèche vers la droite et la gauche barrée verticalement"}}},{"category":"Sm","key":"21FA","mappings":{"default":{"default":"flèche vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"21FB","mappings":{"default":{"default":"flèche vers la droite barrée deux fois verticalement"}}},{"category":"Sm","key":"21FC","mappings":{"default":{"default":"flèche bilatérale barrée deux fois verticalement"}}},{"key":"21FD","mappings":{"default":{"default":"flèche à tête creuse gauche"}},"category":"Sm"},{"key":"21FE","mappings":{"default":{"default":"flèche à tête creuse droite"}},"category":"Sm"},{"key":"21FF","mappings":{"default":{"default":"flèche à tête creuse bilatérale"}},"category":"Sm"},{"category":"So","key":"2301","mappings":{"default":{"default":"flèche électrique"}}},{"category":"So","key":"2303","mappings":{"default":{"default":"pointe de flèche vers le haut"}}},{"category":"So","key":"2304","mappings":{"default":{"default":"pointe de flèche vers le bas"}}},{"category":"So","key":"2324","mappings":{"default":{"default":"pointe de flèche vers le haut entre deux traits horizontaux"}}},{"category":"So","key":"238B","mappings":{"default":{"default":"cercle brisé à flèche nord ouest (échappement)"}}},{"category":"So","key":"2794","mappings":{"default":{"default":"flèche grasse vers la droite à pointe large"}}},{"category":"So","key":"2798","mappings":{"default":{"default":"flèche grasse sud est"}}},{"category":"So","key":"2799","mappings":{"default":{"default":"flèche grasse vers la droite grasse"}}},{"category":"So","key":"279A","mappings":{"default":{"default":"flèche grasse nord est"}}},{"category":"So","key":"279B","mappings":{"default":{"default":"flèche de traçage vers la droite"}}},{"category":"So","key":"279C","mappings":{"default":{"default":"flèche grasse à pointe arrondie vers la droite"}}},{"category":"So","key":"279D","mappings":{"default":{"default":"flèche à pointe en triangle vers la droite"}}},{"category":"So","key":"279E","mappings":{"default":{"default":"flèche grasse à pointe en triangle vers la droite"}}},{"category":"So","key":"279F","mappings":{"default":{"default":"flèche avec pointillés à pointe en triangle vers la droite"}}},{"category":"So","key":"27A0","mappings":{"default":{"default":"flèche grasse avec pointillés à pointe en triangle vers la droite"}}},{"category":"So","key":"27A1","mappings":{"default":{"default":"flèche noire vers la droite"}}},{"category":"So","key":"27A2","mappings":{"default":{"default":"pointe de flèche vers la droite en trompe l'œil éclairée par le haut"}}},{"category":"So","key":"27A3","mappings":{"default":{"default":"pointe de flèche vers la droite en trompe l'œil éclairée par le bas"}}},{"category":"So","key":"27A4","mappings":{"default":{"default":"pointe de flèche noire vers la droite"}}},{"category":"So","key":"27A5","mappings":{"default":{"default":"flèche noire grasse courbée vers le bas et vers la droite"}}},{"category":"So","key":"27A6","mappings":{"default":{"default":"flèche noire courbée vers le haut et vers la droite"}}},{"category":"So","key":"27A7","mappings":{"default":{"default":"flèche noire trapue vers la droite"}}},{"category":"So","key":"27A8","mappings":{"default":{"default":"flèche noire grasse à pointe concave vers la droite"}}},{"category":"So","key":"27A9","mappings":{"default":{"default":"flèche blanche vers la droite ombrée à l'avant"}}},{"category":"So","key":"27AA","mappings":{"default":{"default":"flèche blanche vers la droite ombrée à l'arrière"}}},{"category":"So","key":"27AB","mappings":{"default":{"default":"flèche blanche vers la droite penchée vers l'arrière et ombrée"}}},{"category":"So","key":"27AC","mappings":{"default":{"default":"flèche blanche vers la droite penchée vers l'avant et ombrée"}}},{"category":"So","key":"27AD","mappings":{"default":{"default":"flèche blanche grasse vers la droite à ombre inférieure droite"}}},{"category":"So","key":"27AE","mappings":{"default":{"default":"flèche blanche grasse vers la droite à ombre supérieure droite"}}},{"category":"So","key":"27AF","mappings":{"default":{"default":"flèche encochée blanche vers la droite ombrée à l'avant et par dessous"}}},{"category":"So","key":"27B1","mappings":{"default":{"default":"flèche encochée blanche vers la droite ombrée à l'avant et par dessus"}}},{"category":"So","key":"27B2","mappings":{"default":{"default":"flèche blanche grasse vers la droite à contour circulaire"}}},{"category":"So","key":"27B3","mappings":{"default":{"default":"flèche empennée blanche vers la droite"}}},{"category":"So","key":"27B4","mappings":{"default":{"default":"flèche empennée noir sud est"}}},{"category":"So","key":"27B5","mappings":{"default":{"default":"flèche empennée noir vers la droite"}}},{"category":"So","key":"27B6","mappings":{"default":{"default":"flèche empennée noir nord est"}}},{"category":"So","key":"27B7","mappings":{"default":{"default":"flèche empennée gras noire sud est"}}},{"category":"So","key":"27B8","mappings":{"default":{"default":"flèche empennée gras noire vers la droite"}}},{"category":"So","key":"27B9","mappings":{"default":{"default":"flèche empennée gras noire nord est"}}},{"category":"So","key":"27BA","mappings":{"default":{"default":"flèche vers la droite à pointe larmée"}}},{"category":"So","key":"27BB","mappings":{"default":{"default":"flèche vers la droite à hampe larmée"}}},{"category":"So","key":"27BC","mappings":{"default":{"default":"flèche vers la droite à queue en forme de coin"}}},{"category":"So","key":"27BD","mappings":{"default":{"default":"flèche grasse vers la droite à queue en forme de coin"}}},{"category":"So","key":"27BE","mappings":{"default":{"default":"flèche vers la droite à contour ouvert"}}},{"category":"Sm","key":"27F0","mappings":{"default":{"default":"quadruple flèche vers le haut"}}},{"category":"Sm","key":"27F1","mappings":{"default":{"default":"quadruple flèche vers le bas"}}},{"category":"Sm","key":"27F2","mappings":{"default":{"default":"flèche sens antihoraire entrouverte"}}},{"category":"Sm","key":"27F3","mappings":{"default":{"default":"flèche sens horaire entrouverte"}}},{"category":"Sm","key":"27F4","mappings":{"default":{"default":"flèche vers la droite à signe plus cerclé"}}},{"key":"27F5","mappings":{"default":{"default":"longue flèche gauche"}},"category":"Sm"},{"key":"27F6","mappings":{"default":{"default":"longue flèche droite"}},"category":"Sm"},{"key":"27F7","mappings":{"default":{"default":"longue flèche bilatérale"}},"category":"Sm"},{"key":"27F8","mappings":{"default":{"default":"longue double flèche gauche"}},"category":"Sm"},{"key":"27F9","mappings":{"default":{"default":"longue double flèche droite"}},"category":"Sm"},{"key":"27FA","mappings":{"default":{"default":"longue double flèche bilatérale"}},"category":"Sm"},{"category":"Sm","key":"27FB","mappings":{"default":{"default":"longue flèche d'un taquet vers la gauche"}}},{"key":"27FC","mappings":{"default":{"default":"longue flèche d'un taquet droite"}},"category":"Sm"},{"category":"Sm","key":"27FD","mappings":{"default":{"default":"longue double flèche d'un taquet vers la gauche"}}},{"category":"Sm","key":"27FE","mappings":{"default":{"default":"longue double flèche d'un taquet vers la droite"}}},{"key":"27FF","mappings":{"default":{"default":"longue flèche en tire bouchon droite"}},"category":"Sm"},{"category":"Sm","key":"2900","mappings":{"default":{"default":"flèche à deux pointes vers la droite barrée verticalement"}}},{"category":"Sm","key":"2901","mappings":{"default":{"default":"flèche à deux pointes vers la droite barrée deux fois verticalement"}}},{"category":"Sm","key":"2902","mappings":{"default":{"default":"double flèche vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2903","mappings":{"default":{"default":"double flèche vers la droite barrée verticalement"}}},{"category":"Sm","key":"2904","mappings":{"default":{"default":"flèche bilatérale double barrée verticalement"}}},{"key":"2905","mappings":{"default":{"default":"flèche à deux têtes d'un taquet droite"}},"category":"Sm"},{"category":"Sm","key":"2906","mappings":{"default":{"default":"double flèche d'un taquet vers la gauche"}}},{"category":"Sm","key":"2907","mappings":{"default":{"default":"double flèche d'un taquet vers la droite"}}},{"category":"Sm","key":"2908","mappings":{"default":{"default":"flèche vers le bas barrée horizontalement"}}},{"category":"Sm","key":"2909","mappings":{"default":{"default":"flèche vers le haut barrée horizontalement"}}},{"category":"Sm","key":"290A","mappings":{"default":{"default":"triple flèche vers le haut"}}},{"category":"Sm","key":"290B","mappings":{"default":{"default":"triple flèche vers le bas"}}},{"key":"290C","mappings":{"default":{"default":"flèche à deux traits gauche"}},"category":"Sm"},{"key":"290D","mappings":{"default":{"default":"flèche à deux traits droite"}},"category":"Sm"},{"key":"290E","mappings":{"default":{"default":"flèche à trois traits gauche"}},"category":"Sm"},{"key":"290F","mappings":{"default":{"default":"flèche à trois traits droite"}},"category":"Sm"},{"key":"2910","mappings":{"default":{"default":"flèche à trois traits et à deux têtes droite"}},"category":"Sm"},{"key":"2911","mappings":{"default":{"default":"flèche à fût pointillé droite"}},"category":"Sm"},{"key":"2912","mappings":{"default":{"default":"flèche jusqu'à taquet vers le haut"}},"category":"Sm"},{"key":"2913","mappings":{"default":{"default":"flèche jusqu'à taquet vers le bas"}},"category":"Sm"},{"category":"Sm","key":"2914","mappings":{"default":{"default":"flèche empennée vers la droite barrée verticalement"}}},{"category":"Sm","key":"2915","mappings":{"default":{"default":"flèche empennée vers la droite barrée deux fois verticalement"}}},{"key":"2916","mappings":{"default":{"default":"flèche empennée à deux têtes droite"}},"category":"Sm"},{"category":"Sm","key":"2917","mappings":{"default":{"default":"flèche empennée à deux têtes vers la droite barrée verticalement"}}},{"category":"Sm","key":"2918","mappings":{"default":{"default":"flèche empennée à deux têtes vers la droite barrée deux fois verticalement"}}},{"key":"2919","mappings":{"default":{"default":"empenne gauche"}},"category":"Sm"},{"category":"Sm","key":"291A","mappings":{"default":{"default":"empenne vers la droite"}}},{"key":"291B","mappings":{"default":{"default":"double empenne gauche"}},"category":"Sm"},{"key":"291C","mappings":{"default":{"default":"double empenne droite"}},"category":"Sm"},{"key":"291D","mappings":{"default":{"default":"flèche vers un losange noir à gauche"}},"category":"Sm"},{"key":"291E","mappings":{"default":{"default":"flèche vers un losange noir à droite"}},"category":"Sm"},{"key":"291F","mappings":{"default":{"default":"flèche d'un taquet vers un losange noir à gauche"}},"category":"Sm"},{"key":"2920","mappings":{"default":{"default":"flèche d'un taquet vers un losange noir à droite"}},"category":"Sm"},{"category":"Sm","key":"2921","mappings":{"default":{"default":"flèche nord ouest et sud est"}}},{"category":"Sm","key":"2922","mappings":{"default":{"default":"flèche nord est et sud ouest"}}},{"key":"2923","mappings":{"default":{"default":"flèche nord ouest à crochet"}},"category":"Sm"},{"key":"2924","mappings":{"default":{"default":"flèche nord est à crochet"}},"category":"Sm"},{"key":"2925","mappings":{"default":{"default":"flèche sud est à crochet"}},"category":"Sm"},{"key":"2926","mappings":{"default":{"default":"flèche sud ouest à crochet"}},"category":"Sm"},{"key":"2927","mappings":{"default":{"default":"flèches nord ouest et nord est"}},"category":"Sm"},{"key":"2928","mappings":{"default":{"default":"flèches nord est et sud est"}},"category":"Sm"},{"key":"2929","mappings":{"default":{"default":"flèches sud est et sud ouest"}},"category":"Sm"},{"key":"292A","mappings":{"default":{"default":"flèches sud ouest et nord ouest"}},"category":"Sm"},{"category":"Sm","key":"292D","mappings":{"default":{"default":"flèche sud est sur flèche nord est"}}},{"category":"Sm","key":"292E","mappings":{"default":{"default":"flèche nord est sur flèche sud est"}}},{"category":"Sm","key":"292F","mappings":{"default":{"default":"diagonale descendante sur flèche nord est"}}},{"category":"Sm","key":"2930","mappings":{"default":{"default":"diagonale montante sur flèche sud est"}}},{"category":"Sm","key":"2931","mappings":{"default":{"default":"flèche nord est sur flèche nord ouest"}}},{"category":"Sm","key":"2932","mappings":{"default":{"default":"flèche nord ouest sur flèche nord est"}}},{"key":"2933","mappings":{"default":{"default":"flèche bossue droite"}},"category":"Sm"},{"category":"Sm","key":"2934","mappings":{"default":{"default":"flèche courbe vers la droite puis le haut"}}},{"key":"2935","mappings":{"default":{"default":"flèche courbe vers la droite puis le bas"}},"category":"Sm"},{"key":"2936","mappings":{"default":{"default":"flèche courbe vers le bas puis la gauche"}},"category":"Sm"},{"key":"2937","mappings":{"default":{"default":"flèche courbe vers le bas puis la droite"}},"category":"Sm"},{"key":"2938","mappings":{"default":{"default":"côté droit d'arc fléché sens horaire"}},"category":"Sm"},{"key":"2939","mappings":{"default":{"default":"côté gauche d'arc fléché sens antihoraire"}},"category":"Sm"},{"category":"Sm","key":"293A","mappings":{"default":{"default":"arc supérieur fléché sens antihoraire"}}},{"category":"Sm","key":"293B","mappings":{"default":{"default":"arc inférieur fléché sens antihoraire"}}},{"key":"293C","mappings":{"default":{"default":"arc fléché sens horaire et signe moins souscrit"}},"category":"Sm"},{"key":"293D","mappings":{"default":{"default":"arc fléché sens antihoraire et signe plus souscrit"}},"category":"Sm"},{"category":"Sm","key":"293E","mappings":{"default":{"default":"demi cercle fléché inférieur droit sens horaire"}}},{"category":"Sm","key":"293F","mappings":{"default":{"default":"demi cercle fléché inférieur gauche sens antihoraire"}}},{"category":"Sm","key":"2940","mappings":{"default":{"default":"cercle fléché sens antihoraire"}}},{"category":"Sm","key":"2941","mappings":{"default":{"default":"cercle fléché sens horaire"}}},{"category":"Sm","key":"2942","mappings":{"default":{"default":"flèche vers la droite surmontant fléchette vers la gauche"}}},{"category":"Sm","key":"2943","mappings":{"default":{"default":"flèche vers la gauche surmontant fléchette vers la droite"}}},{"category":"Sm","key":"2944","mappings":{"default":{"default":"fléchette vers la droite surmontant flèche vers la gauche"}}},{"key":"2945","mappings":{"default":{"default":"flèche droite surmontant signe moins"}},"category":"Sm"},{"category":"Sm","key":"2946","mappings":{"default":{"default":"flèche vers la gauche surmontant signe plus"}}},{"category":"Sm","key":"2947","mappings":{"default":{"default":"flèche vers la droite au travers un x"}}},{"key":"2948","mappings":{"default":{"default":"petit cercle traversé d'une flèche bilatérale"}},"category":"Sm"},{"key":"2949","mappings":{"default":{"default":"petit cercle surmonté d'une flèche montante à deux têtes"}},"category":"Sm"},{"key":"2970","mappings":{"default":{"default":"flèche en épingle à cheveu droite"}},"category":"Sm"},{"key":"2971","mappings":{"default":{"default":"flèche droite surmontée d'un égal"}},"category":"Sm"},{"key":"2972","mappings":{"default":{"default":"flèche droite surmontée d'un tilde"}},"category":"Sm"},{"key":"2973","mappings":{"default":{"default":"tilde surmonté d'une flèche gauche"}},"category":"Sm"},{"key":"2974","mappings":{"default":{"default":"tilde surmonté d'une flèche droite"}},"category":"Sm"},{"key":"2975","mappings":{"default":{"default":"presque égal à surmonté d'une flèche droite"}},"category":"Sm"},{"key":"2976","mappings":{"default":{"default":"inférieur à surmonté d'une flèche gauche"}},"category":"Sm"},{"category":"Sm","key":"2977","mappings":{"default":{"default":"flèche vers la gauche à travers un inférieur à"}}},{"key":"2978","mappings":{"default":{"default":"flèche droite surmontée d'un supérieur à"}},"category":"Sm"},{"key":"2979","mappings":{"default":{"default":"flèche droite surmontée d'un sous ensemble de"}},"category":"Sm"},{"category":"Sm","key":"297A","mappings":{"default":{"default":"flèche vers la gauche au travers d'un sous ensemble de"}}},{"key":"297B","mappings":{"default":{"default":"flèche gauche surmontée d'un sur ensemble de"}},"category":"Sm"},{"key":"29B3","mappings":{"default":{"default":"ensemble vide flèche droite en chef"}},"category":"Sm"},{"key":"29B4","mappings":{"default":{"default":"ensemble vide flèche gauche en chef"}},"category":"Sm"},{"category":"Sm","key":"29BD","mappings":{"default":{"default":"cercle traversé d'une flèche montante"}}},{"category":"Sm","key":"29EA","mappings":{"default":{"default":"losange noir à flèche vers le bas"}}},{"category":"Sm","key":"29EC","mappings":{"default":{"default":"cercle blanc à flèche vers le bas"}}},{"category":"Sm","key":"29ED","mappings":{"default":{"default":"cercle noir à flèche vers le bas"}}},{"key":"2A17","mappings":{"default":{"default":"intégrale à crosse fléchée gauche"}},"category":"Sm"},{"category":"So","key":"2B00","mappings":{"default":{"default":"flèche blanche nord est"}}},{"category":"So","key":"2B01","mappings":{"default":{"default":"flèche blanche nord ouest"}}},{"category":"So","key":"2B02","mappings":{"default":{"default":"flèche blanche sud est"}}},{"category":"So","key":"2B03","mappings":{"default":{"default":"flèche blanche sud ouest"}}},{"category":"So","key":"2B04","mappings":{"default":{"default":"flèche blanche bilatérale"}}},{"category":"So","key":"2B05","mappings":{"default":{"default":"flèche noire vers la gauche"}}},{"category":"So","key":"2B06","mappings":{"default":{"default":"flèche noire vers le haut"}}},{"category":"So","key":"2B07","mappings":{"default":{"default":"flèche noire vers le bas"}}},{"category":"So","key":"2B08","mappings":{"default":{"default":"flèche noire nord est"}}},{"category":"So","key":"2B09","mappings":{"default":{"default":"flèche noire nord ouest"}}},{"category":"So","key":"2B0A","mappings":{"default":{"default":"flèche noire sud est"}}},{"category":"So","key":"2B0B","mappings":{"default":{"default":"flèche noire sud ouest"}}},{"category":"So","key":"2B0C","mappings":{"default":{"default":"flèche noire bilatérale"}}},{"category":"So","key":"2B0D","mappings":{"default":{"default":"flèche noire haut et bas"}}},{"category":"So","key":"2B0E","mappings":{"default":{"default":"flèche vers la droite à pointe pliée vers le bas"}}},{"category":"So","key":"2B0F","mappings":{"default":{"default":"flèche vers la droite à pointe pliée vers le haut"}}},{"category":"So","key":"2B10","mappings":{"default":{"default":"flèche vers la gauche à pointe pliée vers le bas"}}},{"category":"So","key":"2B11","mappings":{"default":{"default":"flèche vers la gauche à pointe pliée vers le haut"}}},{"category":"Sm","key":"2B30","mappings":{"default":{"default":"flèche vers la gauche à petit cercle"}}},{"category":"Sm","key":"2B31","mappings":{"default":{"default":"trois flèches vers la gauche"}}},{"category":"Sm","key":"2B32","mappings":{"default":{"default":"flèche vers la gauche à signe plus cerclé"}}},{"category":"Sm","key":"2B33","mappings":{"default":{"default":"longue flèche vers la gauche en tire bouchon"}}},{"category":"Sm","key":"2B34","mappings":{"default":{"default":"flèche à deux pointes vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2B35","mappings":{"default":{"default":"flèche à deux pointes vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"2B36","mappings":{"default":{"default":"flèche à deux têtes d'un taquet vers la gauche"}}},{"category":"Sm","key":"2B37","mappings":{"default":{"default":"flèche à trois traits et à deux têtes vers la gauche"}}},{"category":"Sm","key":"2B38","mappings":{"default":{"default":"flèche vers la gauche à fût pointillé"}}},{"category":"Sm","key":"2B39","mappings":{"default":{"default":"flèche empennée vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2B3A","mappings":{"default":{"default":"flèche empennée vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"2B3B","mappings":{"default":{"default":"flèche empennée à deux têtes vers la gauche"}}},{"category":"Sm","key":"2B3C","mappings":{"default":{"default":"flèche empennée à deux têtes vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2B3D","mappings":{"default":{"default":"flèche empennée à deux têtes vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"2B3E","mappings":{"default":{"default":"flèche vers la gauche au travers un x"}}},{"category":"Sm","key":"2B3F","mappings":{"default":{"default":"flèche vers la gauche bossue"}}},{"category":"Sm","key":"2B40","mappings":{"default":{"default":"flèche vers la gauche surmontée d'un égal"}}},{"category":"Sm","key":"2B41","mappings":{"default":{"default":"flèche vers la gauche surmontée d'un tilde"}}},{"category":"Sm","key":"2B42","mappings":{"default":{"default":"presque égal à réfléchi surmonté d'une flèche vers la gauche"}}},{"category":"Sm","key":"2B43","mappings":{"default":{"default":"flèche vers la droite à travers un inférieur à"}}},{"category":"Sm","key":"2B44","mappings":{"default":{"default":"flèche vers la droite au travers d'un sous ensemble de"}}},{"category":"So","key":"2B45","mappings":{"default":{"default":"quadruple flèche vers la gauche"}}},{"category":"So","key":"2B46","mappings":{"default":{"default":"quadruple flèche vers la droite"}}},{"category":"Sm","key":"2B47","mappings":{"default":{"default":"flèche vers la droite surmontée d'un opérateur tilde réfléchi"}}},{"category":"Sm","key":"2B48","mappings":{"default":{"default":"presque égal à réfléchi surmonté d'une flèche vers la droite"}}},{"category":"Sm","key":"2B49","mappings":{"default":{"default":"flèche vers la gauche surmontée de l'opérateur tilde"}}},{"category":"Sm","key":"2B4A","mappings":{"default":{"default":"flèche vers la gauche par dessus presque égal à"}}},{"category":"Sm","key":"2B4B","mappings":{"default":{"default":"tilde réfléchi surmonté d'une flèche vers la gauche"}}},{"category":"Sm","key":"2B4C","mappings":{"default":{"default":"ilde surmonté d'une flèche vers la droite"}}},{"category":"Sm","key":"FFE9","mappings":{"default":{"default":"flèche vers la gauche demi chasse"}}},{"category":"Sm","key":"FFEA","mappings":{"default":{"default":"flèche vers le haut demi chasse"}}},{"category":"Sm","key":"FFEB","mappings":{"default":{"default":"flèche vers la droite demi chasse"}}},{"category":"Sm","key":"FFEC","mappings":{"default":{"default":"flèche vers le bas demi chasse"}}}]
+,
+"fr/symbols/math_characters.js": 
+[{"locale":"fr"},{"key":"2113","mappings":{"default":{"default":"l minuscule en script"}},"category":"Ll"},{"key":"2118","mappings":{"default":{"default":"fonction elliptique de weierstrass"}},"category":"Sm"},{"category":"Ll","key":"213C","mappings":{"default":{"default":"pi ajouré"}}},{"category":"Ll","key":"213D","mappings":{"default":{"default":"gamma ajouré"}}},{"category":"Lu","key":"213E","mappings":{"default":{"default":"Gamma majuscule ajouré"}}},{"category":"Lu","key":"213F","mappings":{"default":{"default":"Pi majuscule ajouré"}}},{"category":"Sm","key":"2140","mappings":{"default":{"default":"sommation de la famille ajouré"}}},{"key":"2145","mappings":{"default":{"default":"D majuscule"}},"category":"Lu"},{"key":"2146","mappings":{"default":{"default":"d ajouré en italique"}},"category":"Ll"},{"key":"2147","mappings":{"default":{"default":"e ajouré en italique"}},"category":"Ll"},{"key":"2148","mappings":{"default":{"default":"i ajouré en italique"}},"category":"Ll"},{"category":"Ll","key":"2149","mappings":{"default":{"default":"j ajouré en italique"}}},{"key":"1D6A4","mappings":{"default":{"default":"dotless i"}},"category":"Ll"},{"key":"1D6A5","mappings":{"default":{"default":"dotless j"}},"category":"Ll"}]
+,
+"fr/symbols/math_delimiters.js": 
+[{"locale":"fr"},{"key":"0028","mappings":{"default":{"default":"parenthèse gauche","alternative":"parenthèse ouvrante"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"parenthèse droite","alternative":"parenthèse fermante"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"crochet gauche","alternative":"crochet ouvrant"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"crochet droit","alternative":"crochet fermant"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"accolade gauche","alternative":"accolade ouvrante"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"accolade droite","alternative":"accolade fermante"}},"category":"Pe"},{"category":"Ps","key":"2045","mappings":{"default":{"default":"crochet gauche avec pique"}}},{"category":"Pe","key":"2046","mappings":{"default":{"default":"crochet droit avec pique"}}},{"key":"2308","mappings":{"default":{"default":"plafond à gauche"}},"category":"Sm"},{"key":"2309","mappings":{"default":{"default":"plafond à droite"}},"category":"Sm"},{"key":"230A","mappings":{"default":{"default":"plancher à gauche"}},"category":"Sm"},{"key":"230B","mappings":{"default":{"default":"plancher à droite"}},"category":"Sm"},{"key":"230C","mappings":{"default":{"default":"repère sud est"}},"category":"So"},{"key":"230D","mappings":{"default":{"default":"repère sud ouest"}},"category":"So"},{"key":"230E","mappings":{"default":{"default":"repère nord est"}},"category":"So"},{"key":"230F","mappings":{"default":{"default":"repère nord ouest"}},"category":"So"},{"key":"231C","mappings":{"default":{"default":"coin nord ouest"}},"category":"So"},{"key":"231D","mappings":{"default":{"default":"coin nord est"}},"category":"So"},{"key":"231E","mappings":{"default":{"default":"coin sud ouest"}},"category":"So"},{"key":"231F","mappings":{"default":{"default":"coin sud est"}},"category":"So"},{"key":"2320","mappings":{"default":{"default":"moitié supérieure d'intégrale"}},"category":"Sm"},{"key":"2321","mappings":{"default":{"default":"moitié inférieure d'intégrale"}},"category":"Sm"},{"key":"2329","mappings":{"default":{"default":"chevron gauche"}},"category":"Ps"},{"key":"232A","mappings":{"default":{"default":"chevron droite"}},"category":"Pe"},{"category":"Sm","key":"239B","mappings":{"default":{"default":"arc supérieur de parenthèse gauche"}}},{"category":"Sm","key":"239C","mappings":{"default":{"default":"rallonge de parenthèse gauche"}}},{"category":"Sm","key":"239D","mappings":{"default":{"default":"arc inférieur de parenthèse gauche"}}},{"category":"Sm","key":"239E","mappings":{"default":{"default":"arc supérieur de parenthèse droite"}}},{"category":"Sm","key":"239F","mappings":{"default":{"default":"rallonge de parenthèse droite"}}},{"category":"Sm","key":"23A0","mappings":{"default":{"default":"arc inférieur de parenthèse droite"}}},{"category":"Sm","key":"23A1","mappings":{"default":{"default":"coin supérieur de crochet gauche"}}},{"category":"Sm","key":"23A2","mappings":{"default":{"default":"rallonge de crochet gauche"}}},{"category":"Sm","key":"23A3","mappings":{"default":{"default":"coin inférieur de crochet gauche"}}},{"category":"Sm","key":"23A4","mappings":{"default":{"default":"coin supérieur de crochet droit"}}},{"category":"Sm","key":"23A5","mappings":{"default":{"default":"rallonge de crochet droit"}}},{"category":"Sm","key":"23A6","mappings":{"default":{"default":"coin inférieur de crochet droit"}}},{"category":"Sm","key":"23A7","mappings":{"default":{"default":"arc supérieur d'accolade gauche"}}},{"category":"Sm","key":"23A8","mappings":{"default":{"default":"milieu d'accolade gauche"}}},{"category":"Sm","key":"23A9","mappings":{"default":{"default":"arc inférieur d'accolade gauche"}}},{"category":"Sm","key":"23AA","mappings":{"default":{"default":"rallonge d'accolade"}}},{"category":"Sm","key":"23AB","mappings":{"default":{"default":"arc supérieur d'accolade droite"}}},{"category":"Sm","key":"23AC","mappings":{"default":{"default":"milieu d'accolade droite"}}},{"category":"Sm","key":"23AD","mappings":{"default":{"default":"arc inférieur d'accolade droite"}}},{"category":"Sm","key":"23AE","mappings":{"default":{"default":"rallonge d'intégrale"}}},{"category":"Sm","key":"23AF","mappings":{"default":{"default":"rallonge de ligne horizontale"}}},{"key":"23B0","mappings":{"default":{"default":"moitié supérieure gauche ou inférieure droite d'accolade"}},"category":"Sm"},{"key":"23B1","mappings":{"default":{"default":"moitié supérieure droite ou inférieure gauche d'accolade"}},"category":"Sm"},{"category":"Sm","key":"23B2","mappings":{"default":{"default":"haut du signe de somme"}}},{"category":"Sm","key":"23B3","mappings":{"default":{"default":"bas du signe de somme"}}},{"key":"23B4","mappings":{"default":{"default":"crochet vertical supérieur"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"crochet vertical inférieur"}},"category":"So"},{"category":"So","key":"23B6","mappings":{"default":{"default":"crochet verticaux en défilé"}}},{"category":"So","key":"23B7","mappings":{"default":{"default":"bas du radical"}}},{"category":"So","key":"23B8","mappings":{"default":{"default":"filet vertical gauche"}}},{"category":"So","key":"23B9","mappings":{"default":{"default":"filet vertical droit"}}},{"key":"23DC","mappings":{"default":{"default":"parenthèse supérieure"}},"category":"Sm"},{"key":"23DD","mappings":{"default":{"default":"parenthèse inférieure"}},"category":"Sm"},{"key":"23DE","mappings":{"default":{"default":"accolade supérieure"}},"category":"Sm"},{"key":"23DF","mappings":{"default":{"default":"accolade inférieure"}},"category":"Sm"},{"key":"23E0","mappings":{"default":{"default":"crochet en écaille supérieur"}},"category":"Sm"},{"key":"23E1","mappings":{"default":{"default":"crochet en écaille inférieur"}},"category":"Sm"},{"category":"Ps","key":"2768","mappings":{"default":{"default":"parenthèse de fantaisie gauche demi grasse"}}},{"category":"Pe","key":"2769","mappings":{"default":{"default":"parenthèse de fantaisie droite demi grasse"}}},{"category":"Ps","key":"276A","mappings":{"default":{"default":"parenthèse de fantaisie gauche demi grasse aplatie"}}},{"category":"Pe","key":"276B","mappings":{"default":{"default":"parenthèse de fantaisie droite demi grasse aplatie"}}},{"category":"Ps","key":"276C","mappings":{"default":{"default":"chevron de fantaisie vers la gauche demi gras"}}},{"category":"Pe","key":"276D","mappings":{"default":{"default":"chevron de fantaisie vers la droite demi gras"}}},{"category":"Ps","key":"276E","mappings":{"default":{"default":"guillemet de fantaisie vers la gauche gras"}}},{"category":"Pe","key":"276F","mappings":{"default":{"default":"guillemet de fantaisie vers la droite gras"}}},{"category":"Ps","key":"2770","mappings":{"default":{"default":"crochet de fantaisie vers la gauche gras"}}},{"category":"Pe","key":"2771","mappings":{"default":{"default":"crochet de fantaisie vers la droite gras"}}},{"category":"Ps","key":"2772","mappings":{"default":{"default":"crochet de fantaisie gauche maigre en écaille"}}},{"category":"Pe","key":"2773","mappings":{"default":{"default":"crochet de fantaisie droit maigre en écaille"}}},{"category":"Ps","key":"2774","mappings":{"default":{"default":"accolade de fantaisie gauche moyenne"}}},{"category":"Pe","key":"2775","mappings":{"default":{"default":"accolade de fantaisie droite moyenne"}}},{"key":"27C5","mappings":{"default":{"default":"délimiteur de sac en s gauche"}},"category":"Ps"},{"key":"27C6","mappings":{"default":{"default":"délimiteur de sac en s droite"}},"category":"Pe"},{"key":"27E6","mappings":{"default":{"default":"crochet blanc gauche"}},"category":"Ps"},{"key":"27E7","mappings":{"default":{"default":"crochet blanc droit"}},"category":"Pe"},{"key":"27E8","mappings":{"default":{"default":"chevron mathématique gauche"}},"category":"Ps"},{"key":"27E9","mappings":{"default":{"default":"chevron droit"}},"category":"Pe"},{"key":"27EA","mappings":{"default":{"default":"double chevron gauche"}},"category":"Ps"},{"key":"27EB","mappings":{"default":{"default":"double chevron droit"}},"category":"Pe"},{"key":"27EC","mappings":{"default":{"default":"crochet gauche en écaille blanche"}},"category":"Ps"},{"key":"27ED","mappings":{"default":{"default":"crochet droit en écaille blanche"}},"category":"Pe"},{"key":"27EE","mappings":{"default":{"default":"parenthèse gauche aplatie"}},"category":"Ps"},{"key":"27EF","mappings":{"default":{"default":"parenthèse droite aplatie"}},"category":"Pe"},{"category":"Ps","key":"2983","mappings":{"default":{"default":"accolade gauche ajourée"}}},{"category":"Pe","key":"2984","mappings":{"default":{"default":"accolade droite ajourée"}}},{"key":"2985","mappings":{"default":{"default":"parenthèse gauche ajourée"}},"category":"Ps"},{"key":"2986","mappings":{"default":{"default":"parenthèse droite ajourée"}},"category":"Pe"},{"category":"Ps","key":"2987","mappings":{"default":{"default":"parenthèse image de gauche en notation z"}}},{"category":"Pe","key":"2988","mappings":{"default":{"default":"parenthèse image de droite en notation z"}}},{"key":"2989","mappings":{"default":{"default":"z notation left binding bracket"}},"category":"Ps"},{"key":"298A","mappings":{"default":{"default":"z notation right binding bracket"}},"category":"Pe"},{"key":"298B","mappings":{"default":{"default":"crochet gauche avec barre souscrite"}},"category":"Ps"},{"key":"298C","mappings":{"default":{"default":"crochet droit avec barre souscrite"}},"category":"Pe"},{"key":"298D","mappings":{"default":{"default":"crochet gauche avec trait dans le coin supérieur"}},"category":"Ps"},{"key":"298E","mappings":{"default":{"default":"crochet droit avec trait dans le coin inférieur"}},"category":"Pe"},{"key":"298F","mappings":{"default":{"default":"crochet gauche avec trait dans le coin inférieur"}},"category":"Ps"},{"key":"2990","mappings":{"default":{"default":"crochet droit avec trait dans le coin supérieur"}},"category":"Pe"},{"key":"2991","mappings":{"default":{"default":"chevron gauche pointé"}},"category":"Ps"},{"key":"2992","mappings":{"default":{"default":"chevron droit pointé"}},"category":"Pe"},{"key":"2993","mappings":{"default":{"default":"parenthèse arc gauche et inférieur à"}},"category":"Ps"},{"key":"2994","mappings":{"default":{"default":"parenthèse arc droite et supérieur à"}},"category":"Pe"},{"key":"2995","mappings":{"default":{"default":"parenthèse double arc droite et supérieur à"}},"category":"Ps"},{"key":"2996","mappings":{"default":{"default":"parenthèse double arc gauche et inférieur à"}},"category":"Pe"},{"category":"Ps","key":"2997","mappings":{"default":{"default":"crochet noir gauche en écaille"}}},{"category":"Pe","key":"2998","mappings":{"default":{"default":"crochet noir droite en écaille"}}},{"category":"Ps","key":"29D8","mappings":{"default":{"default":"clôture dentelée gauche"}}},{"category":"Pe","key":"29D9","mappings":{"default":{"default":"clôture dentelée droite"}}},{"key":"29DA","mappings":{"default":{"default":"double clôture dentelée gauche"}},"category":"Ps"},{"key":"29DB","mappings":{"default":{"default":"right double wiggly fence"}},"category":"Pe"},{"category":"Ps","key":"29FC","mappings":{"default":{"default":"chevron vers la gauche courbé"}}},{"category":"Pe","key":"29FD","mappings":{"default":{"default":"chevron vers la droite courbé"}}},{"category":"Ps","key":"2E22","mappings":{"default":{"default":"anglet supérieur gauche"}}},{"category":"Pe","key":"2E23","mappings":{"default":{"default":"anglet supérieur droit"}}},{"category":"Ps","key":"2E24","mappings":{"default":{"default":"anglet inférieur gauche"}}},{"category":"Pe","key":"2E25","mappings":{"default":{"default":"anglet inférieur droit"}}},{"category":"Ps","key":"2E26","mappings":{"default":{"default":"crampillon couché gauche"}}},{"category":"Pe","key":"2E27","mappings":{"default":{"default":"crampillon couché droit"}}},{"category":"Ps","key":"2E28","mappings":{"default":{"default":"double parenthèse gauche"}}},{"category":"Pe","key":"2E29","mappings":{"default":{"default":"double parenthèse droite"}}},{"category":"Ps","key":"3008","mappings":{"default":{"default":"chevron gauche"}}},{"category":"Pe","key":"3009","mappings":{"default":{"default":"chevron droit"}}},{"key":"300A","mappings":{"default":{"default":"double chevron gauche"}},"category":"Ps"},{"key":"300B","mappings":{"default":{"default":"double chevron droit"}},"category":"Pe"},{"category":"Ps","key":"300C","mappings":{"default":{"default":"anglet gauche"}}},{"category":"Pe","key":"300D","mappings":{"default":{"default":"anglet droit"}}},{"category":"Ps","key":"300E","mappings":{"default":{"default":"anglet ajouré gauche"}}},{"category":"Pe","key":"300F","mappings":{"default":{"default":"anglet ajouré droit"}}},{"category":"Ps","key":"3010","mappings":{"default":{"default":"crochet noir lenticulaire gauche"}}},{"category":"Pe","key":"3011","mappings":{"default":{"default":"crochet noir lenticulaire droit"}}},{"key":"3014","mappings":{"default":{"default":"crochet gauche en écaille"}},"category":"Ps"},{"key":"3015","mappings":{"default":{"default":"crochet droit en écaille"}},"category":"Pe"},{"category":"Ps","key":"3016","mappings":{"default":{"default":"crochet blanc lenticulaire gauche"}}},{"category":"Pe","key":"3017","mappings":{"default":{"default":"crochet blanc lenticulaire droit"}}},{"category":"Ps","key":"3018","mappings":{"default":{"default":"crochet blanc gauche en écaille"}}},{"category":"Pe","key":"3019","mappings":{"default":{"default":"crochet blanc droit en écaille"}}},{"key":"301A","mappings":{"default":{"default":"crochet blanc gauche"}},"category":"Ps"},{"key":"301B","mappings":{"default":{"default":"crochet blanc droit"}},"category":"Pe"},{"category":"Ps","key":"301D","mappings":{"default":{"default":"guillemet double prime réfléchi"}}},{"key":"301E","mappings":{"default":{"default":"guillemet double prime"}},"category":"Pe"},{"category":"Pe","key":"301F","mappings":{"default":{"default":"guillemet double prime inférieur"}}},{"category":"Ps","key":"FD3E","mappings":{"default":{"default":"parenthèse gauche ornée"}}},{"category":"Pe","key":"FD3F","mappings":{"default":{"default":"parenthèse droite ornée"}}},{"category":"Ps","key":"FE17","mappings":{"default":{"default":"forme de présentation de crochet blanc lenticulaire gauche vertical"}}},{"category":"Pe","key":"FE18","mappings":{"default":{"default":"forme de présentation de crochet blanc lenticulaire droit vertical"}}},{"key":"FE35","mappings":{"default":{"default":"forme de présentation de parenthèse gauche verticale"}},"category":"Ps"},{"key":"FE36","mappings":{"default":{"default":"forme de présentation de parenthèse droite verticale"}},"category":"Pe"},{"key":"FE37","mappings":{"default":{"default":"forme de présentation d'accolade gauche verticale"}},"category":"Ps"},{"key":"FE38","mappings":{"default":{"default":"forme de présentation d'accolade droite verticale"}},"category":"Pe"},{"category":"Ps","key":"FE39","mappings":{"default":{"default":"forme de présentation de crochet gauche vertical en écaille"}}},{"category":"Pe","key":"FE3A","mappings":{"default":{"default":"forme de présentation de crochet droit vertical en écaille"}}},{"category":"Ps","key":"FE3B","mappings":{"default":{"default":"forme de présentation de crochet gauche lenticulaire noir vertical"}}},{"category":"Pe","key":"FE3C","mappings":{"default":{"default":"forme de présentation de crochet droit lenticulaire noir vertical"}}},{"category":"Ps","key":"FE3D","mappings":{"default":{"default":"forme de présentation de crochet double gauche vertical"}}},{"category":"Pe","key":"FE3E","mappings":{"default":{"default":"forme de présentation de crochet double droit vertical"}}},{"key":"FE3F","mappings":{"default":{"default":"over angle bracket"}},"category":"Ps"},{"key":"FE40","mappings":{"default":{"default":"under angle bracket"}},"category":"Pe"},{"category":"Ps","key":"FE41","mappings":{"default":{"default":"forme de présentation de crochet vertical gauche en coin"}}},{"category":"Pe","key":"FE42","mappings":{"default":{"default":"forme de présentation de crochet vertical droit en coin"}}},{"category":"Ps","key":"FE43","mappings":{"default":{"default":"forme de présentation de crochet blanc vertical gauche en coin"}}},{"category":"Pe","key":"FE44","mappings":{"default":{"default":"forme de présentation de crochet blanc vertical droit en coin"}}},{"category":"Ps","key":"FE47","mappings":{"default":{"default":"forme de présentation de crochet gauche vertical"}}},{"category":"Pe","key":"FE48","mappings":{"default":{"default":"forme de présentation de crochet droit vertical"}}},{"category":"Ps","key":"FE59","mappings":{"default":{"default":"parenthèse gauche minuscule"}}},{"category":"Pe","key":"FE5A","mappings":{"default":{"default":"parenthèse droite minuscule"}}},{"category":"Ps","key":"FE5B","mappings":{"default":{"default":"accolade gauche minuscule"}}},{"category":"Pe","key":"FE5C","mappings":{"default":{"default":"accolade droite minuscule"}}},{"category":"Ps","key":"FE5D","mappings":{"default":{"default":"crochet gauche en écaille minuscule"}}},{"category":"Pe","key":"FE5E","mappings":{"default":{"default":"crochet droit en écaille minuscule"}}},{"category":"Ps","key":"FF08","mappings":{"default":{"default":"parenthèse gauche pleine chasse"}}},{"category":"Pe","key":"FF09","mappings":{"default":{"default":"parenthèse droite pleine chasse"}}},{"category":"Ps","key":"FF3B","mappings":{"default":{"default":"crochet gauche pleine chasse"}}},{"category":"Pe","key":"FF3D","mappings":{"default":{"default":"crochet droit pleine chasse"}}},{"category":"Ps","key":"FF5B","mappings":{"default":{"default":"accolade gauche pleine chasse"}}},{"category":"Pe","key":"FF5D","mappings":{"default":{"default":"accolade droite pleine chasse"}}},{"category":"Ps","key":"FF5F","mappings":{"default":{"default":"parenthèse gauche ajourée pleine chasse *"}}},{"category":"Pe","key":"FF60","mappings":{"default":{"default":"parenthèse droite ajourée pleine chasse *"}}},{"category":"Ps","key":"FF62","mappings":{"default":{"default":"crochet gauche en coin demi chasse"}}},{"category":"Pe","key":"FF63","mappings":{"default":{"default":"crochet droit en coin demi chasse"}}}]
+,
+"fr/symbols/math_geometry.js": 
+[{"locale":"fr"},{"key":"2500","mappings":{"default":{"default":"filet horizontal fin"}},"category":"So"},{"category":"So","key":"2501","mappings":{"default":{"default":"filet horizontal gras"}}},{"key":"2502","mappings":{"default":{"default":"filet vertical fin"}},"category":"So"},{"category":"So","key":"2503","mappings":{"default":{"default":"filet vertical gras"}}},{"category":"So","key":"2504","mappings":{"default":{"default":"filet brisé triple horizontal fin"}}},{"category":"So","key":"2505","mappings":{"default":{"default":"filet brisé triple horizontal gras"}}},{"category":"So","key":"2506","mappings":{"default":{"default":"filet brisé triple vertical fin"}}},{"category":"So","key":"2507","mappings":{"default":{"default":"filet brisé triple vertical gras"}}},{"category":"So","key":"2508","mappings":{"default":{"default":"filet brisé quadruple horizontal fin"}}},{"category":"So","key":"2509","mappings":{"default":{"default":"filet brisé quadruple horizontal gras"}}},{"category":"So","key":"250A","mappings":{"default":{"default":"filet brisé quadruple vertical fin"}}},{"category":"So","key":"250B","mappings":{"default":{"default":"filet brisé quadruple vertical gras"}}},{"key":"250C","mappings":{"default":{"default":"filet fin vers le bas et vers la droite"}},"category":"So"},{"category":"So","key":"250D","mappings":{"default":{"default":"filet fin vers le bas et gras vers la droite"}}},{"category":"So","key":"250E","mappings":{"default":{"default":"filet gras vers le bas et fin vers la droite"}}},{"category":"So","key":"250F","mappings":{"default":{"default":"filet gras vers le bas et vers la droite"}}},{"key":"2510","mappings":{"default":{"default":"filet fin vers le bas et vers la gauche"}},"category":"So"},{"category":"So","key":"2511","mappings":{"default":{"default":"filet fin vers le bas et gras vers la gauche"}}},{"category":"So","key":"2512","mappings":{"default":{"default":"filet gras vers le bas et fin vers la gauche"}}},{"category":"So","key":"2513","mappings":{"default":{"default":"filet gras vers le bas et vers la gauche"}}},{"key":"2514","mappings":{"default":{"default":"filet fin vers le haut et vers la droite"}},"category":"So"},{"category":"So","key":"2515","mappings":{"default":{"default":"filet fin vers le haut et gras vers la droite"}}},{"category":"So","key":"2516","mappings":{"default":{"default":"filet gras vers le haut et fin vers la droite"}}},{"category":"So","key":"2517","mappings":{"default":{"default":"filet gras vers le haut et vers la droite"}}},{"key":"2518","mappings":{"default":{"default":"filet fin vers le haut et vers la gauche"}},"category":"So"},{"category":"So","key":"2519","mappings":{"default":{"default":"filet fin vers le haut et gras vers la gauche"}}},{"category":"So","key":"251A","mappings":{"default":{"default":"filet gras vers le haut et fin vers la gauche"}}},{"category":"So","key":"251B","mappings":{"default":{"default":"filet gras vers le haut et vers la gauche"}}},{"key":"251C","mappings":{"default":{"default":"filet fin vertical et vers la droite"}},"category":"So"},{"category":"So","key":"251D","mappings":{"default":{"default":"filet fin vertical et gras vers la droite"}}},{"category":"So","key":"251E","mappings":{"default":{"default":"filet gras vers le haut et fin vers la droite et vers le bas"}}},{"category":"So","key":"251F","mappings":{"default":{"default":"filet gras vers le bas et fin vers la droite et vers le haut"}}},{"category":"So","key":"2520","mappings":{"default":{"default":"filet gras vertical et fin vers la droite"}}},{"category":"So","key":"2521","mappings":{"default":{"default":"filet fin vers le bas et gras vers la droite et vers le haut"}}},{"category":"So","key":"2522","mappings":{"default":{"default":"filet fin vers le haut et gras vers la droite et vers le bas"}}},{"category":"So","key":"2523","mappings":{"default":{"default":"filet gras vertical et vers la droite"}}},{"key":"2524","mappings":{"default":{"default":"filet fin vertical et vers la gauche"}},"category":"So"},{"category":"So","key":"2525","mappings":{"default":{"default":"filet fin vertical et gras vers la gauche"}}},{"category":"So","key":"2526","mappings":{"default":{"default":"filet gras vers le haut et fin vers la gauche et vers le bas"}}},{"category":"So","key":"2527","mappings":{"default":{"default":"filet gras vers le bas et fin vers la gauche et vers le haut"}}},{"category":"So","key":"2528","mappings":{"default":{"default":"filet gras vertical et fin vers la gauche"}}},{"category":"So","key":"2529","mappings":{"default":{"default":"filet fin vers le bas et gras vers la gauche et vers le haut"}}},{"category":"So","key":"252A","mappings":{"default":{"default":"filet fin vers le haut et gras vers la gauche et vers le bas"}}},{"category":"So","key":"252B","mappings":{"default":{"default":"filet gras vertical et vers la gauche"}}},{"key":"252C","mappings":{"default":{"default":"filet fin vers le bas et horizontal"}},"category":"So"},{"category":"So","key":"252D","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite et vers le bas"}}},{"category":"So","key":"252E","mappings":{"default":{"default":"filet gras vers la droite et fin vers la gauche et vers le bas"}}},{"category":"So","key":"252F","mappings":{"default":{"default":"filet fin vers le bas et gras horizontal"}}},{"category":"So","key":"2530","mappings":{"default":{"default":"filet gras vers le bas et fin horizontal"}}},{"category":"So","key":"2531","mappings":{"default":{"default":"filet fin vers la droite et gras vers la gauche et vers le bas"}}},{"category":"So","key":"2532","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite et vers le bas"}}},{"category":"So","key":"2533","mappings":{"default":{"default":"filet gras vers le bas et horizontal"}}},{"key":"2534","mappings":{"default":{"default":"filet fin vers le haut et horizontal"}},"category":"So"},{"category":"So","key":"2535","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite et vers le haut"}}},{"category":"So","key":"2536","mappings":{"default":{"default":"filet gras vers la droite et fin vers la gauche et vers le haut"}}},{"category":"So","key":"2537","mappings":{"default":{"default":"filet fin vers le haut et gras horizontal"}}},{"category":"So","key":"2538","mappings":{"default":{"default":"filet gras vers le haut et fin horizontal"}}},{"category":"So","key":"2539","mappings":{"default":{"default":"filet fin vers la droite et gras vers la gauche et vers le haut"}}},{"category":"So","key":"253A","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite et vers le haut"}}},{"category":"So","key":"253B","mappings":{"default":{"default":"filet gras vers le haut et horizontal"}}},{"key":"253C","mappings":{"default":{"default":"filet fin vertical et horizontal"}},"category":"So"},{"category":"So","key":"253D","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite et vertical"}}},{"category":"So","key":"253E","mappings":{"default":{"default":"filet gras vers la droite et fin vers la gauche et vertical"}}},{"category":"So","key":"253F","mappings":{"default":{"default":"filet vertical fin et horizontal gras"}}},{"category":"So","key":"2540","mappings":{"default":{"default":"filet gras vers le haut et fin vers le bas et horizontal"}}},{"category":"So","key":"2541","mappings":{"default":{"default":"filet gras vers le bas et fin vers le haut et horizontal"}}},{"category":"So","key":"2542","mappings":{"default":{"default":"filet vertical gras et horizontal fin"}}},{"category":"So","key":"2543","mappings":{"default":{"default":"filet gras vers la gauche et vers le haut et fin vers la droite et vers le bas"}}},{"category":"So","key":"2544","mappings":{"default":{"default":"filet gras vers la droite et vers le haut et fin vers la gauche et vers le bas"}}},{"category":"So","key":"2545","mappings":{"default":{"default":"filet gras vers la gauche et vers le bas et fin vers la droite et vers le haut"}}},{"category":"So","key":"2546","mappings":{"default":{"default":"filet gras vers la droite et vers le bas et fin vers la gauche et vers le haut"}}},{"category":"So","key":"2547","mappings":{"default":{"default":"filet fin vers le bas et gras vers le haut et horizontal"}}},{"category":"So","key":"2548","mappings":{"default":{"default":"filet fin vers le haut et gras vers le bas et horizontal"}}},{"category":"So","key":"2549","mappings":{"default":{"default":"filet fin vers la droite et gras vers la gauche et vertical"}}},{"category":"So","key":"254A","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite et vertical"}}},{"category":"So","key":"254B","mappings":{"default":{"default":"filet vertical et horizontal gras"}}},{"category":"So","key":"254C","mappings":{"default":{"default":"filet brisé double horizontal fin"}}},{"category":"So","key":"254D","mappings":{"default":{"default":"filet brisé double horizontal gras"}}},{"category":"So","key":"254E","mappings":{"default":{"default":"filet brisé double vertical fin"}}},{"category":"So","key":"254F","mappings":{"default":{"default":"filet brisé double vertical gras"}}},{"key":"2550","mappings":{"default":{"default":"filet double horizontal"}},"category":"So"},{"key":"2551","mappings":{"default":{"default":"filet double vertical"}},"category":"So"},{"key":"2552","mappings":{"default":{"default":"filet simple le bas et double vers la droite"}},"category":"So"},{"key":"2553","mappings":{"default":{"default":"filet double vers le bas et simple vers la droite"}},"category":"So"},{"key":"2554","mappings":{"default":{"default":"filet double vers le bas et vers la droite"}},"category":"So"},{"key":"2555","mappings":{"default":{"default":"filet simple vers le bas et double vers la gauche"}},"category":"So"},{"key":"2556","mappings":{"default":{"default":"filet double vers le bas et simple vers la gauche"}},"category":"So"},{"key":"2557","mappings":{"default":{"default":"filet double vers le bas et vers la gauche"}},"category":"So"},{"key":"2558","mappings":{"default":{"default":"filet simple vers le haut et double vers la droite"}},"category":"So"},{"key":"2559","mappings":{"default":{"default":"filet double vers le haut et simple vers la droite"}},"category":"So"},{"key":"255A","mappings":{"default":{"default":"filet double vers le haut et vers la droite"}},"category":"So"},{"key":"255B","mappings":{"default":{"default":"filet simple vers le haut et double vers la gauche"}},"category":"So"},{"key":"255C","mappings":{"default":{"default":"filet double vers le haut et simple vers la gauche"}},"category":"So"},{"key":"255D","mappings":{"default":{"default":"filet double vers le haut et vers la gauche"}},"category":"So"},{"key":"255E","mappings":{"default":{"default":"filet vertical simple et droit double"}},"category":"So"},{"key":"255F","mappings":{"default":{"default":"filet vertical double et droit simple"}},"category":"So"},{"key":"2560","mappings":{"default":{"default":"filet double vertical et vers la droite"}},"category":"So"},{"key":"2561","mappings":{"default":{"default":"filet vertical simple et gauche double"}},"category":"So"},{"key":"2562","mappings":{"default":{"default":"filet vertical double et gauche simple"}},"category":"So"},{"key":"2563","mappings":{"default":{"default":"filet double vertical et vers la gauche"}},"category":"So"},{"key":"2564","mappings":{"default":{"default":"filet vers le bas simple et horizontal double"}},"category":"So"},{"key":"2565","mappings":{"default":{"default":"filet vers le bas double et horizontal simple"}},"category":"So"},{"key":"2566","mappings":{"default":{"default":"filet double vers le bas et horizontal"}},"category":"So"},{"key":"2567","mappings":{"default":{"default":"filet vers le haut simple et horizontal double"}},"category":"So"},{"key":"2568","mappings":{"default":{"default":"filet vers le haut double et horizontal simple"}},"category":"So"},{"key":"2569","mappings":{"default":{"default":"filet double vers le haut et horizontal"}},"category":"So"},{"key":"256A","mappings":{"default":{"default":"filet vertical simple et horizontal double"}},"category":"So"},{"key":"256B","mappings":{"default":{"default":"filet vertical double et horizontal simple"}},"category":"So"},{"key":"256C","mappings":{"default":{"default":"filet double vertical et horizontall"}},"category":"So"},{"category":"So","key":"256D","mappings":{"default":{"default":"filet fin arc vers le bas et vers la droite"}}},{"category":"So","key":"256E","mappings":{"default":{"default":"filet fin arc vers le bas et vers la gauche"}}},{"category":"So","key":"256F","mappings":{"default":{"default":"filet fin arc vers le haut et vers la gauche"}}},{"category":"So","key":"2570","mappings":{"default":{"default":"filet fin arc vers le haut et vers la droite"}}},{"category":"So","key":"2571","mappings":{"default":{"default":"filet diagonal fin du coin supérieur droit au coin inférieur gauche"}}},{"category":"So","key":"2572","mappings":{"default":{"default":"filet diagonal fin du coin supérieur gauche vers le coin inférieur droit"}}},{"category":"So","key":"2573","mappings":{"default":{"default":"filet diagonal fin en croix"}}},{"category":"So","key":"2574","mappings":{"default":{"default":"filet fin vers la gauche"}}},{"category":"So","key":"2575","mappings":{"default":{"default":"filet fin vers le haut"}}},{"category":"So","key":"2576","mappings":{"default":{"default":"filet fin vers la droite"}}},{"category":"So","key":"2577","mappings":{"default":{"default":"filet fin vers le bas"}}},{"category":"So","key":"2578","mappings":{"default":{"default":"filet gras vers la gauche"}}},{"category":"So","key":"2579","mappings":{"default":{"default":"filet gras vers le haut"}}},{"category":"So","key":"257A","mappings":{"default":{"default":"filet gras vers la droite"}}},{"category":"So","key":"257B","mappings":{"default":{"default":"filet gras vers le bas"}}},{"category":"So","key":"257C","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite"}}},{"category":"So","key":"257D","mappings":{"default":{"default":"filet fin vers le haut et gras vers le bas"}}},{"category":"So","key":"257E","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite"}}},{"category":"So","key":"257F","mappings":{"default":{"default":"filet gras vers le haut et fin vers le bas"}}},{"key":"2580","mappings":{"default":{"default":"moitié supérieure de pavé"}},"category":"So"},{"category":"So","key":"2581","mappings":{"default":{"default":"huitième inférieur de pavé"}}},{"category":"So","key":"2582","mappings":{"default":{"default":"quart inférieur de pavé"}}},{"category":"So","key":"2583","mappings":{"default":{"default":"trois huitièmes inférieurs de pavé"}}},{"key":"2584","mappings":{"default":{"default":"moitié inférieure de pavé"}},"category":"So"},{"category":"So","key":"2585","mappings":{"default":{"default":"cinq huitièmes inférieurs de pavé"}}},{"category":"So","key":"2586","mappings":{"default":{"default":"trois quarts inférieurs de pavé"}}},{"category":"So","key":"2587","mappings":{"default":{"default":"sept huitièmes inférieurs de pavé"}}},{"key":"2588","mappings":{"default":{"default":"pavé plein"}},"category":"So"},{"category":"So","key":"2589","mappings":{"default":{"default":"sept huitièmes gauches de pavé"}}},{"category":"So","key":"258A","mappings":{"default":{"default":"trois quarts gauches de pavé"}}},{"category":"So","key":"258B","mappings":{"default":{"default":"cinq huitièmes gauches de pavé"}}},{"category":"So","key":"258C","mappings":{"default":{"default":"moitié gauche de pavé"}}},{"category":"So","key":"258D","mappings":{"default":{"default":"trois huitièmes gauches de pavé"}}},{"category":"So","key":"258E","mappings":{"default":{"default":"un quart gauche de pavé"}}},{"category":"So","key":"258F","mappings":{"default":{"default":"un huitième gauche de pavé"}}},{"category":"So","key":"2590","mappings":{"default":{"default":"moitié droite de pavé"}}},{"key":"2591","mappings":{"default":{"default":"ombre légère"}},"category":"So"},{"key":"2592","mappings":{"default":{"default":"ombre moyenne"}},"category":"So"},{"key":"2593","mappings":{"default":{"default":"ombre foncée"}},"category":"So"},{"category":"So","key":"2594","mappings":{"default":{"default":"huitième supérieur de pavé"}}},{"category":"So","key":"2595","mappings":{"default":{"default":"huitième droit de pavé"}}},{"category":"So","key":"2596","mappings":{"default":{"default":"quadrant inférieur gauche"}}},{"category":"So","key":"2597","mappings":{"default":{"default":"quadrant inférieur droit"}}},{"category":"So","key":"2598","mappings":{"default":{"default":"quadrant supérieur gauche"}}},{"category":"So","key":"2599","mappings":{"default":{"default":"quadrant supérieur gauche inférieur gauche et inférieur droit"}}},{"category":"So","key":"259A","mappings":{"default":{"default":"quadrant supérieur gauche et inférieur droit"}}},{"category":"So","key":"259B","mappings":{"default":{"default":"quadrant supérieur gauche supérieur droit et inférieur gauche"}}},{"category":"So","key":"259C","mappings":{"default":{"default":"quadrant supérieur gauche supérieur droit et inférieur droit"}}},{"category":"So","key":"259D","mappings":{"default":{"default":"quadrant supérieur droit"}}},{"category":"So","key":"259E","mappings":{"default":{"default":"quadrant supérieur droit et inférieur gauche"}}},{"category":"So","key":"259F","mappings":{"default":{"default":"quadrant supérieur droit inférieur gauche et inférieur droit"}}},{"key":"25A0","mappings":{"default":{"default":"petit carré noir"}},"category":"So"},{"key":"25A1","mappings":{"default":{"default":"carré blanc"}},"category":"So"},{"category":"So","key":"25A2","mappings":{"default":{"default":"carré blanc aux coins arrondis"}}},{"category":"So","key":"25A3","mappings":{"default":{"default":"petit carré noir inscrit dans un carré blanc"}}},{"category":"So","key":"25A4","mappings":{"default":{"default":"carré hachuré horizontalement"}}},{"category":"So","key":"25A5","mappings":{"default":{"default":"carré hachuré verticalement"}}},{"category":"So","key":"25A6","mappings":{"default":{"default":"carré quadrillé"}}},{"category":"So","key":"25A7","mappings":{"default":{"default":"carré hachuré du haut à gauche vers le bas à droite"}}},{"category":"So","key":"25A8","mappings":{"default":{"default":"carré hachuré du haut à droite vers le bas à gauche"}}},{"category":"So","key":"25A9","mappings":{"default":{"default":"carré quadrillé en diagonale"}}},{"key":"25AA","mappings":{"default":{"default":"petit carré noir"}},"category":"So"},{"key":"25AB","mappings":{"default":{"default":"petit carré blanc"}},"category":"So"},{"category":"So","key":"25AC","mappings":{"default":{"default":"rectangle noir"}}},{"key":"25AD","mappings":{"default":{"default":"rectangle blanc"}},"category":"So"},{"key":"25AE","mappings":{"default":{"default":"rectangle vertical noir"}},"category":"So"},{"key":"25AF","mappings":{"default":{"default":"white vertical rectangle"}},"category":"So"},{"category":"So","key":"25B0","mappings":{"default":{"default":"parallélogramme noir"}}},{"key":"25B1","mappings":{"default":{"default":"parallélogramme blanc"}},"category":"So"},{"key":"25B2","mappings":{"default":{"default":"petit triangle noir pointant vers le haut"}},"category":"So"},{"key":"25B3","mappings":{"default":{"default":"triangle blanc pointant vers le haut"}},"category":"So"},{"key":"25B4","mappings":{"default":{"default":"petit triangle noir pointant vers le haut"}},"category":"So"},{"key":"25B5","mappings":{"default":{"default":"petit triangle blanc pointant vers le haut"}},"category":"So"},{"key":"25B6","mappings":{"default":{"default":"petit triangle noir pointant vers la droite"}},"category":"So"},{"key":"25B7","mappings":{"default":{"default":"triangle blanc pointant vers la droite"}},"category":"Sm"},{"key":"25B8","mappings":{"default":{"default":"petit triangle noir pointant vers la droite"}},"category":"So"},{"key":"25B9","mappings":{"default":{"default":"petit triangle blanc pointant vers la droite"}},"category":"So"},{"category":"So","key":"25BA","mappings":{"default":{"default":"pointeur noir vers la droite"}}},{"category":"So","key":"25BB","mappings":{"default":{"default":"pointeur blanc vers la droite"}}},{"key":"25BC","mappings":{"default":{"default":"petit triangle noir pointant vers le bas"}},"category":"So"},{"key":"25BD","mappings":{"default":{"default":"triangle blanc pointant vers le bas"}},"category":"So"},{"key":"25BE","mappings":{"default":{"default":"petit triangle noir pointant vers le bas"}},"category":"So"},{"key":"25BF","mappings":{"default":{"default":"petit triangle blanc pointant vers le bas"}},"category":"So"},{"key":"25C0","mappings":{"default":{"default":"petit triangle noir pointant vers la gauche"}},"category":"So"},{"key":"25C1","mappings":{"default":{"default":"petit triangle blanc pointant vers la gauche"}},"category":"Sm"},{"key":"25C2","mappings":{"default":{"default":"petit triangle noir pointant vers la gauche"}},"category":"So"},{"key":"25C3","mappings":{"default":{"default":"petit triangle blanc pointant vers la gauche"}},"category":"So"},{"key":"25C4","mappings":{"default":{"default":"pointeur noir vers la gauche"}},"category":"So"},{"key":"25C5","mappings":{"default":{"default":"pointeur blanc vers la gauche"}},"category":"So"},{"key":"25C6","mappings":{"default":{"default":"losange noir"}},"category":"So"},{"key":"25C7","mappings":{"default":{"default":"losange blanc"}},"category":"So"},{"key":"25C8","mappings":{"default":{"default":"losange blanc évidé"}},"category":"So"},{"key":"25C9","mappings":{"default":{"default":"cercle blanc évidé"}},"category":"So"},{"key":"25CA","mappings":{"default":{"default":"losange"}},"category":"So"},{"key":"25CB","mappings":{"default":{"default":"cercle blanc"}},"category":"So"},{"key":"25CC","mappings":{"default":{"default":"cercle en pointillés"}},"category":"So"},{"key":"25CD","mappings":{"default":{"default":"cercle hachuré verticalement"}},"category":"So"},{"key":"25CE","mappings":{"default":{"default":"deux cercles concentriques"}},"category":"So"},{"key":"25CF","mappings":{"default":{"default":"cercle noir"}},"category":"So"},{"key":"25D0","mappings":{"default":{"default":"cercle avec moitié gauche noire"}},"category":"So"},{"key":"25D1","mappings":{"default":{"default":"cercle avec moitié droite noire"}},"category":"So"},{"key":"25D2","mappings":{"default":{"default":"cercle avec moitié inférieure"}},"category":"So"},{"key":"25D3","mappings":{"default":{"default":"cercle avec moitié supérieure"}},"category":"So"},{"key":"25D4","mappings":{"default":{"default":"cercle avec quadrant supérieur droit noir"}},"category":"So"},{"key":"25D5","mappings":{"default":{"default":"disque avec quadrant supérieur gauche blanc"}},"category":"So"},{"key":"25D6","mappings":{"default":{"default":"demi disque gauche noir"}},"category":"So"},{"key":"25D7","mappings":{"default":{"default":"demi disque droite noir"}},"category":"So"},{"key":"25D8","mappings":{"default":{"default":"point noir au blanc"}},"category":"So"},{"key":"25D9","mappings":{"default":{"default":"cercle noir au blanc"}},"category":"So"},{"key":"25DA","mappings":{"default":{"default":"demi cercle supérieur noir au  blanc"}},"category":"So"},{"key":"25DB","mappings":{"default":{"default":"demi cercle inférieur noir au  blanc"}},"category":"So"},{"key":"25DC","mappings":{"default":{"default":"arc de cercle dans le quadrant supérieur gauchearc de cercle dans le quadrant supérieur gauche"}},"category":"So"},{"key":"25DD","mappings":{"default":{"default":"arc de cercle dans le quadrant supérieur droit"}},"category":"So"},{"key":"25DE","mappings":{"default":{"default":"arc de cercle dans le quadrant inférieur droit"}},"category":"So"},{"key":"25DF","mappings":{"default":{"default":"arc de cercle dans le quadrant inférieur gauche"}},"category":"So"},{"key":"25E0","mappings":{"default":{"default":"demi cercle supérieur"}},"category":"So"},{"key":"25E1","mappings":{"default":{"default":"demi cercle inférieur"}},"category":"So"},{"key":"25E2","mappings":{"default":{"default":"coin triangulaire noir inférieur droit"}},"category":"So"},{"key":"25E3","mappings":{"default":{"default":"coin triangulaire noir inférieur gauche"}},"category":"So"},{"key":"25E4","mappings":{"default":{"default":"coin triangulaire noir supérieur gauche"}},"category":"So"},{"key":"25E5","mappings":{"default":{"default":"coin triangulaire noir supérieur droit"}},"category":"So"},{"key":"25E6","mappings":{"default":{"default":"opérateur rond"}},"category":"So"},{"key":"25E7","mappings":{"default":{"default":"carré à moitié gauche noire"}},"category":"So"},{"key":"25E8","mappings":{"default":{"default":"carré à moitié droite noire"}},"category":"So"},{"key":"25E9","mappings":{"default":{"default":"carré à moitié supérieure gauche noire"}},"category":"So"},{"key":"25EA","mappings":{"default":{"default":"carré à moitié inférieure droite noire"}},"category":"So"},{"key":"25EB","mappings":{"default":{"default":"carré blanc à ligne bissectrice verticale"}},"category":"So"},{"key":"25EC","mappings":{"default":{"default":"triangle blanc pointant vers le haut pointé"}},"category":"So"},{"key":"25ED","mappings":{"default":{"default":"triangle pointe vers le haut À moitié gauche noire"}},"category":"So"},{"key":"25EE","mappings":{"default":{"default":"triangle pointe vers le haut À moitié droite noire"}},"category":"So"},{"key":"25EF","mappings":{"default":{"default":"grand cercle"}},"category":"So"},{"category":"So","key":"25F0","mappings":{"default":{"default":"carré blanc à quartier supérieur gauche"}}},{"category":"So","key":"25F1","mappings":{"default":{"default":"carré blanc à quartier inférieur gauche"}}},{"category":"So","key":"25F2","mappings":{"default":{"default":"carré blanc à quartier inférieur droit"}}},{"category":"So","key":"25F3","mappings":{"default":{"default":"carré blanc à quartier supérieur droit"}}},{"category":"So","key":"25F4","mappings":{"default":{"default":"cercle blanc à quartier supérieur gauche"}}},{"category":"So","key":"25F5","mappings":{"default":{"default":"cercle blanc à quartier inférieur gauche"}}},{"category":"So","key":"25F6","mappings":{"default":{"default":"cercle blanc à quartier inférieur droit"}}},{"category":"So","key":"25F7","mappings":{"default":{"default":"cercle blanc à quartier supérieur droit"}}},{"key":"25F8","mappings":{"default":{"default":"triangle rectangle supérieur gauche"}},"category":"Sm"},{"key":"25F9","mappings":{"default":{"default":"triangle rectangle supérieur droit"}},"category":"Sm"},{"key":"25FA","mappings":{"default":{"default":"triangle rectangle inférieur gauche"}},"category":"Sm"},{"key":"25FB","mappings":{"default":{"default":"carré moyen blanc"}},"category":"Sm"},{"key":"25FC","mappings":{"default":{"default":"carré moyen noir"}},"category":"Sm"},{"key":"25FD","mappings":{"default":{"default":"carré moyen blanc"}},"category":"Sm"},{"key":"25FE","mappings":{"default":{"default":"carré moyen noir"}},"category":"Sm"},{"key":"25FF","mappings":{"default":{"default":"triangle rectangle inférieur droit"}},"category":"Sm"},{"category":"So","key":"2B12","mappings":{"default":{"default":"carré à moitié supérieure noire"}}},{"category":"So","key":"2B13","mappings":{"default":{"default":"carré à moitié inférieure noire"}}},{"category":"So","key":"2B14","mappings":{"default":{"default":"carré à moitié diagonale supérieure droite noire"}}},{"category":"So","key":"2B15","mappings":{"default":{"default":"carré à moitié diagonale inférieure droite noire"}}},{"category":"So","key":"2B16","mappings":{"default":{"default":"losange à moitié gauche noire"}}},{"category":"So","key":"2B17","mappings":{"default":{"default":"losange à moitié droite noire"}}},{"category":"So","key":"2B18","mappings":{"default":{"default":"losange à moitié supérieure noire"}}},{"category":"So","key":"2B19","mappings":{"default":{"default":"losange à moitié inférieure noire"}}},{"category":"So","key":"2B1A","mappings":{"default":{"default":"carré en pointillés"}}},{"category":"So","key":"2B1B","mappings":{"default":{"default":"grand carré noir"}}},{"category":"So","key":"2B1C","mappings":{"default":{"default":"grand carré blanc"}}},{"category":"So","key":"2B1D","mappings":{"default":{"default":"très petit carré noir"}}},{"category":"So","key":"2B1E","mappings":{"default":{"default":"très petit carré blanc"}}},{"category":"So","key":"2B1F","mappings":{"default":{"default":"pentagone noir"}}},{"category":"So","key":"2B20","mappings":{"default":{"default":"pentagone blanc"}}},{"category":"So","key":"2B21","mappings":{"default":{"default":"hexagone blanc"}}},{"category":"So","key":"2B22","mappings":{"default":{"default":"hexagone noir"}}},{"category":"So","key":"2B23","mappings":{"default":{"default":"hexagone noir posé sur un côté"}}},{"category":"So","key":"2B24","mappings":{"default":{"default":"grand cercle noir"}}},{"category":"So","key":"2B25","mappings":{"default":{"default":"losange moyen noir"}}},{"category":"So","key":"2B26","mappings":{"default":{"default":"losange moyen blanc"}}},{"category":"So","key":"2B27","mappings":{"default":{"default":"rhombe moyen noir"}}},{"category":"So","key":"2B28","mappings":{"default":{"default":"rhombe moyen blanc"}}},{"category":"So","key":"2B29","mappings":{"default":{"default":"petit losange noir"}}},{"category":"So","key":"2B2A","mappings":{"default":{"default":"petit rhombe noir"}}},{"category":"So","key":"2B2B","mappings":{"default":{"default":"petit rhombe blanc"}}},{"category":"So","key":"2B2C","mappings":{"default":{"default":"ellipse horizontale noire"}}},{"category":"So","key":"2B2D","mappings":{"default":{"default":"ellipse horizontale blanche"}}},{"category":"So","key":"2B2E","mappings":{"default":{"default":"ellipse verticale noire"}}},{"category":"So","key":"2B2F","mappings":{"default":{"default":"ellipse verticale blanche"}}},{"key":"2B50","mappings":{"default":{"default":"étoile blanche moyenne"}},"category":"So"},{"key":"2B51","mappings":{"default":{"default":"petite étoile noire"}},"category":"So"},{"key":"2B52","mappings":{"default":{"default":"petite étoile blanche"}},"category":"So"},{"category":"So","key":"2B53","mappings":{"default":{"default":"pentagone noir pointant vers la droite"}}},{"category":"So","key":"2B54","mappings":{"default":{"default":"pentagone blanc pointant vers la droite"}}},{"category":"So","key":"2B55","mappings":{"default":{"default":"grand cercle gras"}}},{"category":"So","key":"2B56","mappings":{"default":{"default":"ovale gras avec ovale inscrit"}}},{"category":"So","key":"2B57","mappings":{"default":{"default":"cercle gras avec cercle inscrit"}}},{"category":"So","key":"2B58","mappings":{"default":{"default":"cercle gras"}}},{"category":"So","key":"2B59","mappings":{"default":{"default":"sautoir cerclé gras"}}}]
+,
+"fr/symbols/math_harpoons.js": 
+[{"locale":"fr"},{"key":"21BC","mappings":{"default":{"default":"harpon gauche avec dent dressée"}},"category":"So"},{"key":"21BD","mappings":{"default":{"default":"harpon gauche avec dent baissée"}},"category":"So"},{"key":"21BE","mappings":{"default":{"default":"harpon vers le haut avec dent droite"}},"category":"So"},{"key":"21BF","mappings":{"default":{"default":"harpon vers le haut avec dent gauche"}},"category":"So"},{"key":"21C0","mappings":{"default":{"default":"harpon droit avec dent dressée"}},"category":"So"},{"key":"21C1","mappings":{"default":{"default":"harpon droit avec dent baissée"}},"category":"So"},{"key":"21C2","mappings":{"default":{"default":"harpon vers le bas avec dent droite"}},"category":"So"},{"key":"21C3","mappings":{"default":{"default":"harpon vers le bas avec dent gauche"}},"category":"So"},{"key":"21CB","mappings":{"default":{"default":"harpon gauche par dessus harpon droit"}},"category":"So"},{"key":"21CC","mappings":{"default":{"default":"harpon droit par dessus harpon gauche"}},"category":"So"},{"key":"294A","mappings":{"default":{"default":"javelot à dents gauche dressée et droite baissée"}},"category":"Sm"},{"key":"294B","mappings":{"default":{"default":"javelot à dents gauche baissée et droite dressée"}},"category":"Sm"},{"category":"Sm","key":"294C","mappings":{"default":{"default":"crampon à dents supérieure droite et inférieure gauche"}}},{"category":"Sm","key":"294D","mappings":{"default":{"default":"crampon à dents supérieure gauche et inférieure droite"}}},{"key":"294E","mappings":{"default":{"default":"javelot à dents droite et gauche dressées"}},"category":"Sm"},{"key":"294F","mappings":{"default":{"default":"javelot à dents supérieure et inférieure droites"}},"category":"Sm"},{"key":"2950","mappings":{"default":{"default":"javelot à dents droite et gauche baissées"}},"category":"Sm"},{"key":"2951","mappings":{"default":{"default":"javelot à dents supérieure et inférieure gauches"}},"category":"Sm"},{"key":"2952","mappings":{"default":{"default":"harpon gauche à dent dressée contre taquet"}},"category":"Sm"},{"key":"2953","mappings":{"default":{"default":"harpon droit à dent dressée contre taquet"}},"category":"Sm"},{"key":"2954","mappings":{"default":{"default":"harpon vers le haut à dent droite contre taquet"}},"category":"Sm"},{"key":"2955","mappings":{"default":{"default":"harpon vers le bas à dent droite contre taquet"}},"category":"Sm"},{"key":"2956","mappings":{"default":{"default":"harpon gauche à dent baissée contre taquet"}},"category":"Sm"},{"key":"2957","mappings":{"default":{"default":"harpon droit à dent baissée contre taquet"}},"category":"Sm"},{"key":"2958","mappings":{"default":{"default":"harpon vers le haut à dent gauche contre taquet"}},"category":"Sm"},{"key":"2959","mappings":{"default":{"default":"harpon vers le bas à dent gauche contre taquet"}},"category":"Sm"},{"key":"295A","mappings":{"default":{"default":"harpon gauche à dent dressée depuis taquet"}},"category":"Sm"},{"key":"295B","mappings":{"default":{"default":"harpon droit à dent dressée depuis taquet"}},"category":"Sm"},{"key":"295C","mappings":{"default":{"default":"harpon vers le haut à dent droite depuis taquet"}},"category":"Sm"},{"key":"295D","mappings":{"default":{"default":"harpon vers le bas à dent droite depuis taquet"}},"category":"Sm"},{"key":"295E","mappings":{"default":{"default":"harpon gauche à dent baissée depuis taquet"}},"category":"Sm"},{"key":"295F","mappings":{"default":{"default":"harpon droit à dent baissée depuis taquet"}},"category":"Sm"},{"key":"2960","mappings":{"default":{"default":"harpon vers le haut à dent gauche depuis taquet"}},"category":"Sm"},{"key":"2961","mappings":{"default":{"default":"harpon vers le bas à dent gauche depuis taquet"}},"category":"Sm"},{"key":"2962","mappings":{"default":{"default":"harpon gauche à dent dressée sur harpon gauche à dent baissée"}},"category":"Sm"},{"key":"2963","mappings":{"default":{"default":"harpon vers le haut à dent gauche à côté de harpon vers le haut à dent droite"}},"category":"Sm"},{"key":"2964","mappings":{"default":{"default":"harpon droit à dent dressée par dessus harpon droit à dent baissée"}},"category":"Sm"},{"key":"2965","mappings":{"default":{"default":"harpon vers le bas à dent gauche à côté de harpon vers le bas à dent droite"}},"category":"Sm"},{"key":"2966","mappings":{"default":{"default":"harpon à dent gauche dressée par dessus harpon à dent droite dressée"}},"category":"Sm"},{"key":"2967","mappings":{"default":{"default":"harpon à dent gauche baissée par dessus harpon à dent droite baissée"}},"category":"Sm"},{"key":"2968","mappings":{"default":{"default":"harpon à dent droite dressée par dessus harpon à dent gauche dressée"}},"category":"Sm"},{"key":"2969","mappings":{"default":{"default":"harpon à dent droite baissée par dessus harpon à dent gauche baissée"}},"category":"Sm"},{"key":"296A","mappings":{"default":{"default":"harpon à dent gauche dressée par dessus long trait"}},"category":"Sm"},{"key":"296B","mappings":{"default":{"default":"long trait par dessus harpon à dent gauche baissée"}},"category":"Sm"},{"key":"296C","mappings":{"default":{"default":"harpon à dent droite dressée par dessus long trait"}},"category":"Sm"},{"key":"296D","mappings":{"default":{"default":"long trait par dessus harpon à dent droite baissée"}},"category":"Sm"},{"key":"296E","mappings":{"default":{"default":"harpon vers le haut à dent gauche à côté de harpon vers le bas à dent droite"}},"category":"Sm"},{"key":"296F","mappings":{"default":{"default":"harpon vers le bas à dent gauche à côté de harpon vers le haut à dent droite"}},"category":"Sm"},{"key":"297C","mappings":{"default":{"default":"ancre gauche"}},"category":"Sm"},{"key":"297D","mappings":{"default":{"default":"ancre droite"}},"category":"Sm"},{"key":"297E","mappings":{"default":{"default":"ancre vers le haut"}},"category":"Sm"},{"key":"297F","mappings":{"default":{"default":"ancre vers le bas"}},"category":"Sm"}]
+,
+"fr/symbols/math_non_characters.js": 
+[{"locale":"fr"},{"key":"210F","mappings":{"default":{"default":"constante de planck sur deux pi"}},"category":"Ll"},{"category":"So","key":"2114","mappings":{"default":{"default":"symbole l b barré"}}},{"key":"2116","mappings":{"default":{"default":"symbole numéro"}},"category":"So"},{"key":"2117","mappings":{"default":{"default":"copyright de programme sonore"}},"category":"So"},{"key":"211E","mappings":{"default":{"default":"ordonnances"}},"category":"So"},{"category":"So","key":"211F","mappings":{"default":{"default":"répons"}}},{"category":"So","key":"2120","mappings":{"default":{"default":"symbole anglais marque de service"}}},{"category":"So","key":"2121","mappings":{"default":{"default":"signe de téléphone"}}},{"key":"2122","mappings":{"default":{"default":"symbole anglais marque de commerce"}},"category":"So"},{"category":"So","key":"2123","mappings":{"default":{"default":"versicule"}}},{"key":"2125","mappings":{"default":{"default":"symbole once"}},"category":"So"},{"key":"2126","mappings":{"default":{"default":"ohm"}},"category":"Lu"},{"key":"2127","mappings":{"default":{"default":"ohm culbuté"}},"category":"So"},{"key":"212A","mappings":{"default":{"default":"degré kelvin"}},"category":"Lu"},{"key":"212B","mappings":{"default":{"default":"angstroms"}},"category":"Lu"},{"category":"So","key":"212E","mappings":{"default":{"default":"symbole estimé"}}},{"key":"2132","mappings":{"default":{"default":"f culbuté majuscule"}},"category":"Lu"},{"category":"Ll","key":"2139","mappings":{"default":{"default":"bureau d'information"}}},{"category":"So","key":"213A","mappings":{"default":{"default":"Q majuscule couché"}}},{"category":"So","key":"213B","mappings":{"default":{"default":"symbole télécopie"}}},{"category":"Sm","key":"2141","mappings":{"default":{"default":"G culbuté majuscule sans empattement"}}},{"category":"Sm","key":"2142","mappings":{"default":{"default":"L culbuté majuscule sans empattement"}}},{"category":"Sm","key":"2143","mappings":{"default":{"default":"L réfléchi majuscule sans empattement"}}},{"category":"Sm","key":"2144","mappings":{"default":{"default":"Y culbuté majuscule sans empattement"}}}]
+,
+"fr/symbols/math_symbols.js": 
+[{"locale":"fr"},{"key":"0021","mappings":{"default":{"default":"factorielle"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"petit guillemet"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"dièse"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"dollars"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"pourcent"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"esperluette"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"prime","alternative":"apostrophe"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"astérisque"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"plus"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"virgule"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"moins"}},"category":"Pd"},{"key":"002E","mappings":{"default":{"default":"point"}},"category":"Po"},{"key":"002F","mappings":{"default":{"default":"barre oblique"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"deux points"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"point virgule"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"inférieur à"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"égale"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"supérieur à"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"point d'interrogation"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"arobase"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"barre oblique inversée"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circonflexe"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"tiret bas"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"accent grave"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"barre verticale"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"point d'exclamation renversé"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"centimes"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"livres"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"symbole monétaire"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"barre déjointe"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"paragraphe"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"tréma"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"indicateur ordinal féminin"}},"category":"Lo"},{"key":"00AB","mappings":{"default":{"default":"guillemet chevron pointant gauche"}},"category":"Pi"},{"key":"00AC","mappings":{"default":{"default":"négation"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"symbole marque déposée"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"macron"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"degrés"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"plus ou moins"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"accent aigu"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"symbole micro"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"fin de paragraphe"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"point médian"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"cédille"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"indicateur ordinal masculin"}},"category":"Lo"},{"key":"00BB","mappings":{"default":{"default":"guillemet chevron pointant droite"}},"category":"Pf"},{"key":"00BF","mappings":{"default":{"default":"point d'interrogation renversé"}},"category":"Po"},{"key":"00D7","mappings":{"default":{"default":"multiplié par"}},"category":"Sm"},{"key":"00F7","mappings":{"default":{"default":"divisé par"}},"category":"Sm"},{"key":"02D8","mappings":{"default":{"default":"brève"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"point en chef"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"rond en chef"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"double accent aigu"}},"category":"Sk"},{"key":"2010","mappings":{"default":{"default":"trait d'union"}},"category":"Pd"},{"category":"Pd","key":"2011","mappings":{"default":{"default":"trait d'union insécable"}}},{"category":"Pd","key":"2012","mappings":{"default":{"default":"tiret numérique"}}},{"key":"2013","mappings":{"default":{"default":"trait d'union insécable"}},"category":"Pd"},{"key":"2014","mappings":{"default":{"default":"tiret numérique"}},"category":"Pd"},{"key":"2015","mappings":{"default":{"default":"barre horizontalle"}},"category":"Pd"},{"key":"2016","mappings":{"default":{"default":"double ligne verticale"}},"category":"Po"},{"category":"Po","key":"2017","mappings":{"default":{"default":"double trait souscrit"}}},{"key":"2018","mappings":{"default":{"default":"guillemet apostrophe culbuté"}},"category":"Pi"},{"key":"2019","mappings":{"default":{"default":"guillemet apostrophe"}},"category":"Pf"},{"key":"201A","mappings":{"default":{"default":"guillemet virgule inférieur"}},"category":"Ps"},{"category":"Pi","key":"201B","mappings":{"default":{"default":"guillemet virgule supérieur culbuté"}}},{"key":"201C","mappings":{"default":{"default":"guillemet apostrophe double culbuté"}},"category":"Pi"},{"key":"201D","mappings":{"default":{"default":"guillemet apostrophe double"}},"category":"Pf"},{"key":"201E","mappings":{"default":{"default":"guillemet double prime"}},"category":"Ps"},{"category":"Pi","key":"201F","mappings":{"default":{"default":"guillemet virgule double supérieur culbuté"}}},{"key":"2020","mappings":{"default":{"default":"obèle"}},"category":"Po"},{"key":"2021","mappings":{"default":{"default":"double obèle"}},"category":"Po"},{"key":"2022","mappings":{"default":{"default":"puce"}},"category":"Po"},{"category":"Po","key":"2023","mappings":{"default":{"default":"puce triangulaire"}}},{"category":"Po","key":"2024","mappings":{"default":{"default":"point de conduite simple"}}},{"key":"2025","mappings":{"default":{"default":"point de conduite double"}},"category":"Po"},{"key":"2026","mappings":{"default":{"default":"points de suspension"}},"category":"Po"},{"category":"Po","key":"2027","mappings":{"default":{"default":"point de coupure de mot"}}},{"key":"2030","mappings":{"default":{"default":"symbole pour mille"}},"category":"Po"},{"key":"2031","mappings":{"default":{"default":"symbole pour dix mille"}},"category":"Po"},{"key":"2032","mappings":{"default":{"default":"prime"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"double prime"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"triple prime"}},"category":"Po"},{"key":"2035","mappings":{"default":{"default":"prime réfléchi"}},"category":"Po"},{"key":"2036","mappings":{"default":{"default":"double prime réfléchi"}},"category":"Po"},{"category":"Po","key":"2037","mappings":{"default":{"default":"triple prime réfléchi"}}},{"category":"Po","key":"2038","mappings":{"default":{"default":"chevron d'insertion"}}},{"key":"2039","mappings":{"default":{"default":"guillemet simple gauche"}},"category":"Pi"},{"key":"203A","mappings":{"default":{"default":"guillemet simple droite"}},"category":"Pf"},{"category":"Po","key":"203B","mappings":{"default":{"default":"marque de référence"}}},{"category":"Po","key":"203C","mappings":{"default":{"default":"double point d'exclamation"}}},{"category":"Po","key":"203D","mappings":{"default":{"default":"point exclarrogatif"}}},{"key":"203E","mappings":{"default":{"default":"tiret en chef"}},"category":"Po"},{"category":"Pc","key":"203F","mappings":{"default":{"default":"tirant souscrit"}}},{"key":"2040","mappings":{"default":{"default":"tirant en chef"}},"category":"Pc"},{"key":"2041","mappings":{"default":{"default":"lambda d'insertion"}},"category":"Po"},{"category":"Po","key":"2042","mappings":{"default":{"default":"astérisme"}}},{"key":"2043","mappings":{"default":{"default":"puce trait d'union"}},"category":"Po"},{"key":"2044","mappings":{"default":{"default":"barre de fraction"}},"category":"Sm"},{"category":"Po","key":"2047","mappings":{"default":{"default":"double point d'interrogation"}}},{"category":"Po","key":"2048","mappings":{"default":{"default":"point d'interrogation exclamation"}}},{"category":"Po","key":"2049","mappings":{"default":{"default":"point d'exclamation interrogation"}}},{"category":"Po","key":"204B","mappings":{"default":{"default":"pied de mouche réfléchi"}}},{"category":"Po","key":"204C","mappings":{"default":{"default":"puce noire tronquée à droite"}}},{"category":"Po","key":"204D","mappings":{"default":{"default":"puce noire tronquée à gauche"}}},{"category":"Po","key":"204E","mappings":{"default":{"default":"astérisque baissé"}}},{"key":"204F","mappings":{"default":{"default":"point virgule réfléchi"}},"category":"Po"},{"key":"2050","mappings":{"default":{"default":"resserrer"}},"category":"Po"},{"category":"Po","key":"2051","mappings":{"default":{"default":"deux astérisques alignés verticalement"}}},{"category":"Sm","key":"2052","mappings":{"default":{"default":"moins commercial"}}},{"category":"Po","key":"2053","mappings":{"default":{"default":"tiret ondé"}}},{"category":"Pc","key":"2054","mappings":{"default":{"default":"dos d'âne souscrit"}}},{"category":"Po","key":"2055","mappings":{"default":{"default":"point fleur"}}},{"category":"Po","key":"2056","mappings":{"default":{"default":"trois points"}}},{"key":"2057","mappings":{"default":{"default":"quadruple prime"}},"category":"Po"},{"category":"Po","key":"2058","mappings":{"default":{"default":"quatre points en losange"}}},{"category":"Po","key":"2059","mappings":{"default":{"default":"cinq points en quinconce"}}},{"category":"Po","key":"205A","mappings":{"default":{"default":"deux points en capitale"}}},{"category":"Po","key":"205B","mappings":{"default":{"default":"quatre points en croix"}}},{"category":"Po","key":"205C","mappings":{"default":{"default":"croix pointée"}}},{"category":"Po","key":"205D","mappings":{"default":{"default":"trois points vertical"}}},{"category":"Po","key":"205E","mappings":{"default":{"default":"quatre points vertical"}}},{"category":"Sm","key":"207A","mappings":{"default":{"default":"exposant signe plus"}}},{"category":"Sm","key":"207B","mappings":{"default":{"default":"exposant signe moins"}}},{"category":"Sm","key":"207C","mappings":{"default":{"default":"exposant signe égal"}}},{"category":"Ps","key":"207D","mappings":{"default":{"default":"exposant parenthèse gauche"}}},{"category":"Pe","key":"207E","mappings":{"default":{"default":"exposant parenthèse droite"}}},{"category":"Sm","key":"208A","mappings":{"default":{"default":"indice signe plus"}}},{"category":"Sm","key":"208B","mappings":{"default":{"default":"indice signe moins"}}},{"category":"Sm","key":"208C","mappings":{"default":{"default":"indice signe égal"}}},{"category":"Ps","key":"208D","mappings":{"default":{"default":"indice parenthèse gauche"}}},{"category":"Pe","key":"208E","mappings":{"default":{"default":"indice parenthèse droite"}}},{"category":"So","key":"214A","mappings":{"default":{"default":"limite de propriété"}}},{"category":"Sm","key":"214B","mappings":{"default":{"default":"perluète culbutée"}}},{"category":"So","key":"214C","mappings":{"default":{"default":"symbole per"}}},{"category":"So","key":"214D","mappings":{"default":{"default":"aktieselskab"}}},{"category":"Ll","key":"214E","mappings":{"default":{"default":"minuscule f culbuté"}}},{"key":"2200","mappings":{"default":{"default":"pour tous"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"complément"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"il existe"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"il n'existe pas"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"ensemble vide"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"incrément"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"appartient à"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"n'appartient pas à"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"appartient à"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"contient comme élément"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"ne contient pas comme élément"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"contient comme élément"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"ce qu'il fallait démontrer"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"produit"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"coproduit"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"sommation"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"moins"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"moins ou plus"}},"category":"Sm"},{"key":"2214","mappings":{"default":{"default":"plus pointé"}},"category":"Sm"},{"key":"2215","mappings":{"default":{"default":"division"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"différence d'ensembles"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"opérateur astérisque"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"opérateur rond"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"point médian"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"racine carrée"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"racine cubique"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"racine quatrième"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proportionnel à"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"infini"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"angle droit"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"angle"}},"category":"Sm"},{"key":"2221","mappings":{"default":{"default":"angle mesuré"}},"category":"Sm"},{"key":"2222","mappings":{"default":{"default":"angle sphérique"}},"category":"Sm"},{"key":"2223","mappings":{"default":{"default":"est un diviseur de"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"n'est pas un diviseur de"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"parallèle à"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"non parallèle à"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"et logique"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"ou logique"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"intersection"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"union"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"intégrale"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"intégrale double"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"intégrale triple"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"intégrale de contour"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"intégrale de surface"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"intégrale de volume"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"intégrale en sens négatif"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"intégrale de contour en sens négatif"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"intégrale de contour en sens positif"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"par conséquent"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"parce que"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"rapport"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"proportion"}},"category":"Sm"},{"key":"2238","mappings":{"default":{"default":"moins pointé"}},"category":"Sm"},{"key":"2239","mappings":{"default":{"default":"excès"}},"category":"Sm"},{"key":"223A","mappings":{"default":{"default":"proportion géométrique"}},"category":"Sm"},{"key":"223B","mappings":{"default":{"default":"homothétique"}},"category":"Sm"},{"key":"223C","mappings":{"default":{"default":"opérateur tilde"}},"category":"Sm"},{"key":"223D","mappings":{"default":{"default":"opérateur tilde renversé"}},"category":"Sm"},{"key":"223E","mappings":{"default":{"default":"s couché renversé"}},"category":"Sm"},{"key":"223F","mappings":{"default":{"default":"sinusoïde"}},"category":"Sm"},{"key":"2240","mappings":{"default":{"default":"produit couronne"}},"category":"Sm"},{"key":"2241","mappings":{"default":{"default":"non tilde"}},"category":"Sm"},{"key":"2242","mappings":{"default":{"default":"moins tilde"}},"category":"Sm"},{"key":"2243","mappings":{"default":{"default":"asymptotiquement égal à"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"non asymptotiquement égal à"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"approximativement égal à"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"approximativement mais non strictement égal à"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"ni approximativement ni strictement égal à"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"presque égal à"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"non presque égal à"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"presque égal ou égal à"}},"category":"Sm"},{"key":"224B","mappings":{"default":{"default":"triple tilde"}},"category":"Sm"},{"key":"224C","mappings":{"default":{"default":"entièrement égal à"}},"category":"Sm"},{"key":"224D","mappings":{"default":{"default":"équivalent à"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"géométriquement équivalent à"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"différence entre"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"tend vers la limite"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"géométriquement égal à"}},"category":"Sm"},{"key":"2252","mappings":{"default":{"default":"approximativement égal à ou image de"}},"category":"Sm"},{"key":"2253","mappings":{"default":{"default":"image de ou approximativement égal à"}},"category":"Sm"},{"key":"2254","mappings":{"default":{"default":"deux points égal"}},"category":"Sm"},{"key":"2255","mappings":{"default":{"default":"égal deux points"}},"category":"Sm"},{"key":"2256","mappings":{"default":{"default":"rond dans égal"}},"category":"Sm"},{"key":"2257","mappings":{"default":{"default":"égal avec rond en chef"}},"category":"Sm"},{"key":"2258","mappings":{"default":{"default":"correspond à"}},"category":"Sm"},{"key":"2259","mappings":{"default":{"default":"estime"}},"category":"Sm"},{"key":"225A","mappings":{"default":{"default":"équiangulaire à"}},"category":"Sm"},{"key":"225B","mappings":{"default":{"default":"égal avec étoile en chef"}},"category":"Sm"},{"key":"225C","mappings":{"default":{"default":"égal delta"}},"category":"Sm"},{"key":"225D","mappings":{"default":{"default":"égal par définition à"}},"category":"Sm"},{"key":"225E","mappings":{"default":{"default":"mesuré par"}},"category":"Sm"},{"key":"225F","mappings":{"default":{"default":"égalité en doute"}},"category":"Sm"},{"key":"2260","mappings":{"default":{"default":"pas égal à"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"identique à"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"non identique à"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"strictement équivalent à"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"plus petit ou égal à"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"plus grand ou égal à"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"plus petit que par dessus égal à"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"plus grand que par dessus égal à"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"plus petit mais pas égal à"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"plus grand mais pas égal à"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"beaucoup plus petit que"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"beaucoup plus grand que"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"entre"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"non équivalent à"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"pas plus petit que"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"pas plus grand que"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"ni plus petit ni égal à"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"ni plus grand ni égal à"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"plus petit ou équivalent à"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"plus grand ou équivalent à"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"ni plus petit ni équivalent à"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"ni plus grand ni équivalent à"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"plus petit ou plus grand que"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"plus grand ou plus petit que"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"ni plus petit ni plus grand que"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"ni plus grand ni plus petit que"}},"category":"Sm"},{"key":"227A","mappings":{"default":{"default":"précède"}},"category":"Sm"},{"key":"227B","mappings":{"default":{"default":"suit"}},"category":"Sm"},{"key":"227C","mappings":{"default":{"default":"précède ou est égal à"}},"category":"Sm"},{"key":"227D","mappings":{"default":{"default":"suit ou est égal à"}},"category":"Sm"},{"key":"227E","mappings":{"default":{"default":"précède ou est équivalent à"}},"category":"Sm"},{"key":"227F","mappings":{"default":{"default":"suit ou est équivalent à"}},"category":"Sm"},{"key":"2280","mappings":{"default":{"default":"ne précède pas"}},"category":"Sm"},{"key":"2281","mappings":{"default":{"default":"ne suit pas"}},"category":"Sm"},{"key":"2282","mappings":{"default":{"default":"sous ensemble de"}},"category":"Sm"},{"key":"2283","mappings":{"default":{"default":"sur ensemble de"}},"category":"Sm"},{"key":"2284","mappings":{"default":{"default":"pas un sous ensemble de"}},"category":"Sm"},{"key":"2285","mappings":{"default":{"default":"pas un sur ensemble de"}},"category":"Sm"},{"key":"2286","mappings":{"default":{"default":"sous ensemble ou égal à"}},"category":"Sm"},{"key":"2287","mappings":{"default":{"default":"sur ensemble ou égal à"}},"category":"Sm"},{"key":"2288","mappings":{"default":{"default":"ni un sous ensemble ni égal à"}},"category":"Sm"},{"key":"2289","mappings":{"default":{"default":"ni un sur ensemble ni égal à"}},"category":"Sm"},{"key":"228A","mappings":{"default":{"default":"sous ensemble mais pas égal à"}},"category":"Sm"},{"key":"228B","mappings":{"default":{"default":"sur ensemble mais pas égal à"}},"category":"Sm"},{"key":"228C","mappings":{"default":{"default":"multiensemble"}},"category":"Sm"},{"key":"228D","mappings":{"default":{"default":"multiplication de multiensemble"}},"category":"Sm"},{"key":"228E","mappings":{"default":{"default":"union de multiensemble"}},"category":"Sm"},{"key":"228F","mappings":{"default":{"default":"image carrée de"}},"category":"Sm"},{"key":"2290","mappings":{"default":{"default":"original carré de"}},"category":"Sm"},{"key":"2291","mappings":{"default":{"default":"image carrée ou égal à"}},"category":"Sm"},{"key":"2292","mappings":{"default":{"default":"original carré ou égal à"}},"category":"Sm"},{"key":"2293","mappings":{"default":{"default":"chapeau carré"}},"category":"Sm"},{"key":"2294","mappings":{"default":{"default":"coupe carrée"}},"category":"Sm"},{"key":"2295","mappings":{"default":{"default":"plus cerclé"}},"category":"Sm"},{"key":"2296","mappings":{"default":{"default":"moins cerclé"}},"category":"Sm"},{"key":"2297","mappings":{"default":{"default":"multiplié par cerclé"}},"category":"Sm"},{"key":"2298","mappings":{"default":{"default":"barre oblique de division cerclée"}},"category":"Sm"},{"key":"2299","mappings":{"default":{"default":"opérateur point cerclé"}},"category":"Sm"},{"key":"229A","mappings":{"default":{"default":"opérateur rond cerclé"}},"category":"Sm"},{"key":"229B","mappings":{"default":{"default":"opérateur astérisque cerclé"}},"category":"Sm"},{"key":"229C","mappings":{"default":{"default":"égal cerclé"}},"category":"Sm"},{"key":"229D","mappings":{"default":{"default":"tiret cerclé"}},"category":"Sm"},{"key":"229E","mappings":{"default":{"default":"plus encadré"}},"category":"Sm"},{"key":"229F","mappings":{"default":{"default":"moins encadré"}},"category":"Sm"},{"key":"22A0","mappings":{"default":{"default":"multiplié par encadré"}},"category":"Sm"},{"key":"22A1","mappings":{"default":{"default":"opérateur point encadré"}},"category":"Sm"},{"key":"22A2","mappings":{"default":{"default":"taquet droit"}},"category":"Sm"},{"key":"22A3","mappings":{"default":{"default":"taquet gauche"}},"category":"Sm"},{"key":"22A4","mappings":{"default":{"default":"taquet vers le bas"}},"category":"Sm"},{"key":"22A5","mappings":{"default":{"default":"taquet vers le haut"}},"category":"Sm"},{"key":"22A6","mappings":{"default":{"default":"assertion"}},"category":"Sm"},{"key":"22A7","mappings":{"default":{"default":"modélise"}},"category":"Sm"},{"key":"22A8","mappings":{"default":{"default":"vrai"}},"category":"Sm"},{"key":"22A9","mappings":{"default":{"default":"oblige"}},"category":"Sm"},{"key":"22AA","mappings":{"default":{"default":"barre verticale triple avec tourniquet à droite"}},"category":"Sm"},{"key":"22AB","mappings":{"default":{"default":"barre verticale double avec tourniquet à droite double"}},"category":"Sm"},{"key":"22AC","mappings":{"default":{"default":"ne prouve pas"}},"category":"Sm"},{"key":"22AD","mappings":{"default":{"default":"pas vrai"}},"category":"Sm"},{"key":"22AE","mappings":{"default":{"default":"n'oblige pas"}},"category":"Sm"},{"key":"22AF","mappings":{"default":{"default":"non barre verticale double avec tourniquet à droite double"}},"category":"Sm"},{"key":"22B0","mappings":{"default":{"default":"précède sous relation"}},"category":"Sm"},{"key":"22B1","mappings":{"default":{"default":"suit sous relation"}},"category":"Sm"},{"key":"22B2","mappings":{"default":{"default":"sous groupe normal de"}},"category":"Sm"},{"key":"22B3","mappings":{"default":{"default":"contient comme sous groupe normal"}},"category":"Sm"},{"key":"22B4","mappings":{"default":{"default":"sous groupe normal ou égal à"}},"category":"Sm"},{"key":"22B5","mappings":{"default":{"default":"contient comme sous groupe normal ou égal à"}},"category":"Sm"},{"key":"22B6","mappings":{"default":{"default":"original de"}},"category":"Sm"},{"key":"22B7","mappings":{"default":{"default":"image de"}},"category":"Sm"},{"key":"22B8","mappings":{"default":{"default":"multijection"}},"category":"Sm"},{"key":"22B9","mappings":{"default":{"default":"matrice hermitienne conjuguée"}},"category":"Sm"},{"key":"22BA","mappings":{"default":{"default":"intercale"}},"category":"Sm"},{"key":"22BB","mappings":{"default":{"default":"ou exclusif"}},"category":"Sm"},{"key":"22BC","mappings":{"default":{"default":"non et"}},"category":"Sm"},{"key":"22BD","mappings":{"default":{"default":"non ou"}},"category":"Sm"},{"key":"22BF","mappings":{"default":{"default":"triangle rectangle"}},"category":"Sm"},{"key":"22C0","mappings":{"default":{"default":"et logique de la famille"}},"category":"Sm"},{"key":"22C1","mappings":{"default":{"default":"ou logique de la famille"}},"category":"Sm"},{"key":"22C2","mappings":{"default":{"default":"intersection de la famille"}},"category":"Sm"},{"key":"22C3","mappings":{"default":{"default":"réunion de la famille"}},"category":"Sm"},{"key":"22C4","mappings":{"default":{"default":"opérateur losange"}},"category":"Sm"},{"key":"22C5","mappings":{"default":{"default":"opérateur point"}},"category":"Sm"},{"key":"22C6","mappings":{"default":{"default":"opérateur étoile"}},"category":"Sm"},{"key":"22C7","mappings":{"default":{"default":"divisé multiplié"}},"category":"Sm"},{"key":"22C8","mappings":{"default":{"default":"nœud papillon"}},"category":"Sm"},{"key":"22C9","mappings":{"default":{"default":"produit semi direct à gauche de facteur normal"}},"category":"Sm"},{"key":"22CA","mappings":{"default":{"default":"produit semi direct à droite de facteur normal"}},"category":"Sm"},{"key":"22CB","mappings":{"default":{"default":"produit semi direct à gauche"}},"category":"Sm"},{"key":"22CC","mappings":{"default":{"default":"produit semi direct à droite"}},"category":"Sm"},{"key":"22CD","mappings":{"default":{"default":"moins tilde renversé"}},"category":"Sm"},{"key":"22CE","mappings":{"default":{"default":"ou logique recourbé"}},"category":"Sm"},{"key":"22CF","mappings":{"default":{"default":"et logique recourbé"}},"category":"Sm"},{"key":"22D0","mappings":{"default":{"default":"sous ensemble double"}},"category":"Sm"},{"key":"22D1","mappings":{"default":{"default":"sur ensemble double"}},"category":"Sm"},{"key":"22D2","mappings":{"default":{"default":"intersection double"}},"category":"Sm"},{"key":"22D3","mappings":{"default":{"default":"union double"}},"category":"Sm"},{"key":"22D4","mappings":{"default":{"default":"fourche"}},"category":"Sm"},{"key":"22D5","mappings":{"default":{"default":"égal et parallèle à"}},"category":"Sm"},{"key":"22D6","mappings":{"default":{"default":"plus petit que pointé"}},"category":"Sm"},{"key":"22D7","mappings":{"default":{"default":"plus grand que pointé"}},"category":"Sm"},{"key":"22D8","mappings":{"default":{"default":"considérablement plus petit que"}},"category":"Sm"},{"key":"22D9","mappings":{"default":{"default":"considérablement plus grand que"}},"category":"Sm"},{"key":"22DA","mappings":{"default":{"default":"plus petit ou égal ou plus grand que"}},"category":"Sm"},{"key":"22DB","mappings":{"default":{"default":"plus grand ou égal ou plus petit que"}},"category":"Sm"},{"key":"22DC","mappings":{"default":{"default":"égal ou plus petit que"}},"category":"Sm"},{"key":"22DD","mappings":{"default":{"default":"égal à deux lignes ou supérieur à"}},"category":"Sm"},{"key":"22DE","mappings":{"default":{"default":"égal ou précède"}},"category":"Sm"},{"key":"22DF","mappings":{"default":{"default":"égal ou suit"}},"category":"Sm"},{"key":"22E0","mappings":{"default":{"default":"ni précédant ni égal à"}},"category":"Sm"},{"key":"22E1","mappings":{"default":{"default":"ni suivant ni égal à"}},"category":"Sm"},{"key":"22E2","mappings":{"default":{"default":"ni image carrée ni égal à"}},"category":"Sm"},{"key":"22E3","mappings":{"default":{"default":"ni original carré ni égal à"}},"category":"Sm"},{"key":"22E4","mappings":{"default":{"default":"image carré ou différent de"}},"category":"Sm"},{"key":"22E5","mappings":{"default":{"default":"original carré ou différent de"}},"category":"Sm"},{"key":"22E6","mappings":{"default":{"default":"plus petit mais non équivalent à"}},"category":"Sm"},{"key":"22E7","mappings":{"default":{"default":"plus grand mais non équivalent à"}},"category":"Sm"},{"key":"22E8","mappings":{"default":{"default":"précédant mais non équivalent à"}},"category":"Sm"},{"key":"22E9","mappings":{"default":{"default":"suivant mais non équivalent à"}},"category":"Sm"},{"key":"22EA","mappings":{"default":{"default":"pas un sous groupe normal de"}},"category":"Sm"},{"key":"22EB","mappings":{"default":{"default":"ne contient pas comme sous groupe normal"}},"category":"Sm"},{"key":"22EC","mappings":{"default":{"default":"ni sous groupe normal ni égal à"}},"category":"Sm"},{"key":"22ED","mappings":{"default":{"default":"ni égal ni contenant comme sous  groupe normal"}},"category":"Sm"},{"key":"22EE","mappings":{"default":{"default":"trois points suspendus"}},"category":"Sm"},{"key":"22EF","mappings":{"default":{"default":"trois points médians"}},"category":"Sm"},{"key":"22F0","mappings":{"default":{"default":"trois points diagonaux vers le coin haut à droite"}},"category":"Sm"},{"key":"22F1","mappings":{"default":{"default":"trois points diagonaux vers le coin bas à droite"}},"category":"Sm"},{"key":"22F2","mappings":{"default":{"default":"appartient à avec long trait horizontal"}},"category":"Sm"},{"key":"22F3","mappings":{"default":{"default":"appartient à avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22F4","mappings":{"default":{"default":"petit appartient à avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22F5","mappings":{"default":{"default":"appartient à avec point en chef"}},"category":"Sm"},{"key":"22F6","mappings":{"default":{"default":"appartient à avec trait en chef"}},"category":"Sm"},{"key":"22F7","mappings":{"default":{"default":"petit appartient à avec trait en chef"}},"category":"Sm"},{"key":"22F8","mappings":{"default":{"default":"appartient à avec trait souscrit"}},"category":"Sm"},{"key":"22F9","mappings":{"default":{"default":"appartient à avec deux traits horizontaux"}},"category":"Sm"},{"key":"22FA","mappings":{"default":{"default":"contient avec long trait horizontal"}},"category":"Sm"},{"key":"22FB","mappings":{"default":{"default":"contient avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22FC","mappings":{"default":{"default":"petit contient avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22FD","mappings":{"default":{"default":"contient avec trait en chef"}},"category":"Sm"},{"key":"22FE","mappings":{"default":{"default":"petit contient avec trait en chef"}},"category":"Sm"},{"key":"22FF","mappings":{"default":{"default":"appartient à un sac en notation z"}},"category":"Sm"},{"key":"2300","mappings":{"default":{"default":"diamètre"}},"category":"So"},{"key":"2302","mappings":{"default":{"default":"maison"}},"category":"So"},{"key":"2305","mappings":{"default":{"default":"projective"}},"category":"So"},{"key":"2306","mappings":{"default":{"default":"perspective"}},"category":"So"},{"category":"So","key":"2307","mappings":{"default":{"default":"ligne ondulée"}}},{"key":"2310","mappings":{"default":{"default":"négation réfléchi"}},"category":"So"},{"category":"So","key":"2311","mappings":{"default":{"default":"pastille carrée"}}},{"key":"2312","mappings":{"default":{"default":"arc"}},"category":"So"},{"key":"2313","mappings":{"default":{"default":"segment"}},"category":"So"},{"category":"So","key":"2314","mappings":{"default":{"default":"secteur"}}},{"category":"So","key":"2795","mappings":{"default":{"default":"plus gras"}}},{"category":"So","key":"2796","mappings":{"default":{"default":"moins gras"}}},{"category":"So","key":"2797","mappings":{"default":{"default":"division gras"}}},{"category":"So","key":"27B0","mappings":{"default":{"default":"boucle recourbée"}}},{"category":"So","key":"27BF","mappings":{"default":{"default":"double boucle recourbée"}}},{"key":"27C1","mappings":{"default":{"default":"petit triangle blanc inscrit dans triangle blanc"}},"category":"Sm"},{"key":"27C2","mappings":{"default":{"default":"perpendiculaire à"}},"category":"Sm"},{"key":"27C3","mappings":{"default":{"default":"sous ensemble ouvert"}},"category":"Sm"},{"key":"27C4","mappings":{"default":{"default":"sur ensemble ouvert"}},"category":"Sm"},{"key":"27C7","mappings":{"default":{"default":"ou avec point inscrit"}},"category":"Sm"},{"key":"27C8","mappings":{"default":{"default":"sous ensemble précédé d'une barre oblique inversée"}},"category":"Sm"},{"key":"27C9","mappings":{"default":{"default":"sur ensemble suivi d'une barre oblique"}},"category":"Sm"},{"key":"27CA","mappings":{"default":{"default":"barre verticale À une traverse"}},"category":"Sm"},{"category":"Sm","key":"27CB","mappings":{"default":{"default":"diagonale mathématique ascendante"}}},{"key":"27CC","mappings":{"default":{"default":"grande division"}},"category":"Sm"},{"category":"Sm","key":"27CD","mappings":{"default":{"default":"diagonale mathématique descendante"}}},{"category":"Sm","key":"27CE","mappings":{"default":{"default":"et logique encadré"}}},{"category":"Sm","key":"27CF","mappings":{"default":{"default":"ou logique encadré"}}},{"category":"Sm","key":"27D0","mappings":{"default":{"default":"losange blanc à point centré"}}},{"key":"27D1","mappings":{"default":{"default":"et pointé"}},"category":"Sm"},{"key":"27D2","mappings":{"default":{"default":"appartient À ouvert vers le haut"}},"category":"Sm"},{"key":"27D3","mappings":{"default":{"default":"coin inférieur droit pointé"}},"category":"Sm"},{"key":"27D4","mappings":{"default":{"default":"coin supérieur gauche pointé"}},"category":"Sm"},{"key":"27D5","mappings":{"default":{"default":"jointure externe gauche"}},"category":"Sm"},{"key":"27D6","mappings":{"default":{"default":"jointure externe droite"}},"category":"Sm"},{"key":"27D7","mappings":{"default":{"default":"jointure externe complète"}},"category":"Sm"},{"key":"27D8","mappings":{"default":{"default":"grand taquet vers le haut"}},"category":"Sm"},{"key":"27D9","mappings":{"default":{"default":"grand taquet vers le bas"}},"category":"Sm"},{"key":"27DA","mappings":{"default":{"default":"double tourniquet bilatéral"}},"category":"Sm"},{"key":"27DB","mappings":{"default":{"default":"tourniquet bilatéral"}},"category":"Sm"},{"key":"27DC","mappings":{"default":{"default":"multijection gauche"}},"category":"Sm"},{"key":"27DD","mappings":{"default":{"default":"long taquet droit"}},"category":"Sm"},{"key":"27DE","mappings":{"default":{"default":"long taquet gauche"}},"category":"Sm"},{"key":"27DF","mappings":{"default":{"default":"taquet vers le haut surmonté d'un cercle"}},"category":"Sm"},{"key":"27E0","mappings":{"default":{"default":"losange coupé"}},"category":"Sm"},{"key":"27E1","mappings":{"default":{"default":"losange concave blanc"}},"category":"Sm"},{"key":"27E2","mappings":{"default":{"default":"losange concave blanc avec trait à gauche"}},"category":"Sm"},{"key":"27E3","mappings":{"default":{"default":"losange concave blanc avec trait à droite"}},"category":"Sm"},{"key":"27E4","mappings":{"default":{"default":"carré blanc avec trait à gauche"}},"category":"Sm"},{"key":"27E5","mappings":{"default":{"default":"carré blanc avec trait à droite"}},"category":"Sm"},{"category":"Sm","key":"292B","mappings":{"default":{"default":"diagonale montante sur diagonale descendante"}}},{"category":"Sm","key":"292C","mappings":{"default":{"default":"diagonale descendante sur diagonale montante"}}},{"category":"Sm","key":"2980","mappings":{"default":{"default":"délimiteur triple barre verticale"}}},{"category":"Sm","key":"2981","mappings":{"default":{"default":"boulet"}}},{"category":"Sm","key":"2982","mappings":{"default":{"default":"deux points de la notation z"}}},{"category":"Sm","key":"2999","mappings":{"default":{"default":"clôture pointillée"}}},{"key":"299A","mappings":{"default":{"default":"ligne verticale en zigzag"}},"category":"Sm"},{"key":"29B0","mappings":{"default":{"default":"ensemble vide réfléchi"}},"category":"Sm"},{"key":"29B1","mappings":{"default":{"default":"ensemble vide barre en chef"}},"category":"Sm"},{"key":"29B2","mappings":{"default":{"default":"ensemble vide petit cercle en chef"}},"category":"Sm"},{"key":"29B5","mappings":{"default":{"default":"cercle à barre horizontale"}},"category":"Sm"},{"key":"29B6","mappings":{"default":{"default":"barre verticale cerclée"}},"category":"Sm"},{"key":"29B7","mappings":{"default":{"default":"parallèles cerclées"}},"category":"Sm"},{"category":"Sm","key":"29B8","mappings":{"default":{"default":"barre oblique inversée cerclée"}}},{"key":"29B9","mappings":{"default":{"default":"perpendiculaire cerclé"}},"category":"Sm"},{"category":"Sm","key":"29BA","mappings":{"default":{"default":"cercle divisé par une barre horizontale et une barre verticale dans la moitié supérieure"}}},{"key":"29BB","mappings":{"default":{"default":"cercle superposé d'un x"}},"category":"Sm"},{"key":"29BC","mappings":{"default":{"default":"division pivoté en sens antihoraire cerclé"}},"category":"Sm"},{"key":"29BE","mappings":{"default":{"default":"puce blanche cerclée"}},"category":"Sm"},{"key":"29BF","mappings":{"default":{"default":"puce cerclée"}},"category":"Sm"},{"key":"29C0","mappings":{"default":{"default":"inférieur à cerclé"}},"category":"Sm"},{"key":"29C1","mappings":{"default":{"default":"supérieur à cerclé"}},"category":"Sm"},{"key":"29C2","mappings":{"default":{"default":"cercle avec petit cercle à droite"}},"category":"Sm"},{"key":"29C3","mappings":{"default":{"default":"cercle avec deux petits traits horizontaux à droite"}},"category":"Sm"},{"key":"29C4","mappings":{"default":{"default":"oblique encadrée"}},"category":"Sm"},{"key":"29C5","mappings":{"default":{"default":"oblique inversée encadrée"}},"category":"Sm"},{"category":"Sm","key":"29C6","mappings":{"default":{"default":"astérisque encadré"}}},{"category":"Sm","key":"29C7","mappings":{"default":{"default":"petite cercle encadré"}}},{"category":"Sm","key":"29C8","mappings":{"default":{"default":"carré encadré"}}},{"key":"29C9","mappings":{"default":{"default":"carrés se chevauchant"}},"category":"Sm"},{"category":"Sm","key":"29CA","mappings":{"default":{"default":"triangle pointé en chef"}}},{"category":"Sm","key":"29CB","mappings":{"default":{"default":"triangle à barre souscrite"}}},{"category":"Sm","key":"29CC","mappings":{"default":{"default":"s inscrit dans triangle"}}},{"key":"29CD","mappings":{"default":{"default":"triangle à empattements inférieurs"}},"category":"Sm"},{"key":"29CE","mappings":{"default":{"default":"triangle droit par dessus triangle gauche"}},"category":"Sm"},{"key":"29CF","mappings":{"default":{"default":"triangle gauche à gauche d'une barre verticale"}},"category":"Sm"},{"key":"29D0","mappings":{"default":{"default":"triangle droit à droite d'une barre verticale"}},"category":"Sm"},{"category":"Sm","key":"29D1","mappings":{"default":{"default":"nœud papillon à aile gauche noire"}}},{"category":"Sm","key":"29D2","mappings":{"default":{"default":"nœud papillon à aile droite noire"}}},{"category":"Sm","key":"29D3","mappings":{"default":{"default":"nœud papillon noir"}}},{"category":"Sm","key":"29D4","mappings":{"default":{"default":"multiplication à moitié gauche noircie"}}},{"category":"Sm","key":"29D5","mappings":{"default":{"default":"multiplication à moitié droite noircie"}}},{"category":"Sm","key":"29D6","mappings":{"default":{"default":"sablier blanc"}}},{"category":"Sm","key":"29D7","mappings":{"default":{"default":"sablier noir"}}},{"key":"29DC","mappings":{"default":{"default":"infini incomplet"}},"category":"Sm"},{"category":"Sm","key":"29DD","mappings":{"default":{"default":"lorgnon"}}},{"key":"29DE","mappings":{"default":{"default":"infini nié par une barre verticale"}},"category":"Sm"},{"category":"Sm","key":"29DF","mappings":{"default":{"default":"multijection à deux têtes"}}},{"category":"Sm","key":"29E0","mappings":{"default":{"default":"carré ombré"}}},{"category":"Sm","key":"29E1","mappings":{"default":{"default":"augmente avec"}}},{"category":"Sm","key":"29E2","mappings":{"default":{"default":"produit de permutation"}}},{"key":"29E3","mappings":{"default":{"default":"égale à et parallèle à incliné"}},"category":"Sm"},{"key":"29E4","mappings":{"default":{"default":"égale à et parallèle à incliné surmontés d'un tilde"}},"category":"Sm"},{"key":"29E5","mappings":{"default":{"default":"identique à et parallèle à incliné"}},"category":"Sm"},{"category":"Sm","key":"29E6","mappings":{"default":{"default":"gleich stark"}}},{"category":"Sm","key":"29E7","mappings":{"default":{"default":"thermodynamique"}}},{"category":"Sm","key":"29E8","mappings":{"default":{"default":"triangle pointe vers le bas à moitié gauche noire"}}},{"category":"Sm","key":"29E9","mappings":{"default":{"default":"triangle pointe vers le bas à moitié droite noire"}}},{"key":"29EB","mappings":{"default":{"default":"losange fuselé noir"}},"category":"Sm"},{"category":"Sm","key":"29EE","mappings":{"default":{"default":"barre d'erreur à carré blanc"}}},{"category":"Sm","key":"29EF","mappings":{"default":{"default":"barre d'erreur à carré noir"}}},{"category":"Sm","key":"29F0","mappings":{"default":{"default":"barre d'erreur à losange blanc"}}},{"category":"Sm","key":"29F1","mappings":{"default":{"default":"barre d'erreur à losange noir"}}},{"category":"Sm","key":"29F2","mappings":{"default":{"default":"barre d'erreur à cercle blanc"}}},{"category":"Sm","key":"29F3","mappings":{"default":{"default":"barre d'erreur à cercle noir"}}},{"key":"29F4","mappings":{"default":{"default":"règle différée"}},"category":"Sm"},{"category":"Sm","key":"29F5","mappings":{"default":{"default":"opérateur barre oblique inversée"}}},{"key":"29F6","mappings":{"default":{"default":"barre oblique avec barre en chef"}},"category":"Sm"},{"category":"Sm","key":"29F7","mappings":{"default":{"default":"barre oblique inversée à traverse horizontale"}}},{"category":"Sm","key":"29F8","mappings":{"default":{"default":"grande barre oblique"}}},{"category":"Sm","key":"29F9","mappings":{"default":{"default":"grande barre oblique inversée"}}},{"category":"Sm","key":"29FA","mappings":{"default":{"default":"double plus"}}},{"category":"Sm","key":"29FB","mappings":{"default":{"default":"triple plus"}}},{"category":"Sm","key":"29FE","mappings":{"default":{"default":"tiny"}}},{"category":"Sm","key":"29FF","mappings":{"default":{"default":"miny"}}},{"category":"Sm","key":"2A00","mappings":{"default":{"default":"opérateur point cerclé n aire"}}},{"category":"Sm","key":"2A01","mappings":{"default":{"default":"opérateur plus cerclé n aire"}}},{"category":"Sm","key":"2A02","mappings":{"default":{"default":"opérateur multiplié par cerclé n aire"}}},{"category":"Sm","key":"2A03","mappings":{"default":{"default":"opérateur union n aire pointé"}}},{"category":"Sm","key":"2A04","mappings":{"default":{"default":"opérateur union n aire avec plus"}}},{"category":"Sm","key":"2A05","mappings":{"default":{"default":"opérateur intersection carré n aire"}}},{"category":"Sm","key":"2A06","mappings":{"default":{"default":"opérateur union carré n aire"}}},{"category":"Sm","key":"2A07","mappings":{"default":{"default":"opérateur deux et logiques"}}},{"category":"Sm","key":"2A08","mappings":{"default":{"default":"opérateur deux ou logiques"}}},{"category":"Sm","key":"2A09","mappings":{"default":{"default":"opérateur multiplié par n aire"}}},{"category":"Sm","key":"2A0A","mappings":{"default":{"default":"sommation modulo deux"}}},{"category":"Sm","key":"2A0B","mappings":{"default":{"default":"sommation avec intégrale"}}},{"key":"2A0C","mappings":{"default":{"default":"intégrale quadruple"}},"category":"Sm"},{"key":"2A0D","mappings":{"default":{"default":"intégrale à partie finie"}},"category":"Sm"},{"category":"Sm","key":"2A0E","mappings":{"default":{"default":"intégrale à deux barres horizontales"}}},{"category":"Sm","key":"2A0F","mappings":{"default":{"default":"moyenne d'intégrale à barre oblique inversée"}}},{"key":"2A10","mappings":{"default":{"default":"fonction de circulation"}},"category":"Sm"},{"key":"2A11","mappings":{"default":{"default":"intégrale en sens positif"}},"category":"Sm"},{"key":"2A12","mappings":{"default":{"default":"intégrale de ligne à chemin rectangulaire autour du pôle"}},"category":"Sm"},{"key":"2A13","mappings":{"default":{"default":"intégrale de ligne à chemin semi circulaire autour du pôle"}},"category":"Sm"},{"key":"2A14","mappings":{"default":{"default":"intégrale de ligne évitant le pôle"}},"category":"Sm"},{"key":"2A15","mappings":{"default":{"default":"intégrale autour d'un opérateur point"}},"category":"Sm"},{"key":"2A16","mappings":{"default":{"default":"intégrale quaternion"}},"category":"Sm"},{"category":"Sm","key":"2A18","mappings":{"default":{"default":"intégrale au signe multiplié par"}}},{"category":"Sm","key":"2A19","mappings":{"default":{"default":"intégrale à signe intersection"}}},{"category":"Sm","key":"2A1A","mappings":{"default":{"default":"intégrale à signe union"}}},{"category":"Sm","key":"2A1B","mappings":{"default":{"default":"intégrale à barre en chef"}}},{"category":"Sm","key":"2A1C","mappings":{"default":{"default":"intégrale à barre souscrite"}}},{"category":"Sm","key":"2A1D","mappings":{"default":{"default":"jointure"}}},{"category":"Sm","key":"2A1E","mappings":{"default":{"default":"gros opérateur triangle gauche"}}},{"category":"Sm","key":"2A1F","mappings":{"default":{"default":"composition de schémas en notation z"}}},{"category":"Sm","key":"2A20","mappings":{"default":{"default":"tubage de schémas en notation z"}}},{"category":"Sm","key":"2A21","mappings":{"default":{"default":"projection de schémas en notation z"}}},{"key":"2A22","mappings":{"default":{"default":"plus surmonté d'un petit cercle"}},"category":"Sm"},{"key":"2A23","mappings":{"default":{"default":"plus surmonté d'un circonflexe"}},"category":"Sm"},{"key":"2A24","mappings":{"default":{"default":"plus surmonté d'un tilde"}},"category":"Sm"},{"key":"2A25","mappings":{"default":{"default":"plus à point souscrit"}},"category":"Sm"},{"key":"2A26","mappings":{"default":{"default":"plus à tilde souscrit"}},"category":"Sm"},{"key":"2A27","mappings":{"default":{"default":"plus à chiffre deux souscrit"}},"category":"Sm"},{"category":"Sm","key":"2A28","mappings":{"default":{"default":"plus à triangle noir"}}},{"key":"2A29","mappings":{"default":{"default":"moins surmonté d'une virgule"}},"category":"Sm"},{"key":"2A2A","mappings":{"default":{"default":"moins à point souscrit"}},"category":"Sm"},{"category":"Sm","key":"2A2B","mappings":{"default":{"default":"moins à points descendants"}}},{"category":"Sm","key":"2A2C","mappings":{"default":{"default":"moins à points ascendants"}}},{"key":"2A2D","mappings":{"default":{"default":"plus dans demi cercle gauche"}},"category":"Sm"},{"key":"2A2E","mappings":{"default":{"default":"plus dans demi cercle droit"}},"category":"Sm"},{"key":"2A2F","mappings":{"default":{"default":"produit vectoriel"}},"category":"Sm"},{"key":"2A30","mappings":{"default":{"default":"multiplication à point en chef"}},"category":"Sm"},{"key":"2A31","mappings":{"default":{"default":"multiplication à barre souscrite"}},"category":"Sm"},{"category":"Sm","key":"2A32","mappings":{"default":{"default":"produit semi direct fermé en bas"}}},{"key":"2A33","mappings":{"default":{"default":"produit fusionné"}},"category":"Sm"},{"key":"2A34","mappings":{"default":{"default":"multiplication dans demi cercle gauche"}},"category":"Sm"},{"key":"2A35","mappings":{"default":{"default":"multiplication dans demi cercle droit"}},"category":"Sm"},{"key":"2A36","mappings":{"default":{"default":"multiplication cerclé circonflexe"}},"category":"Sm"},{"key":"2A37","mappings":{"default":{"default":"multiplication doublement cerclé"}},"category":"Sm"},{"key":"2A38","mappings":{"default":{"default":"division cerclé"}},"category":"Sm"},{"key":"2A39","mappings":{"default":{"default":"plus dans triangle"}},"category":"Sm"},{"key":"2A3A","mappings":{"default":{"default":"moins dans triangle"}},"category":"Sm"},{"key":"2A3B","mappings":{"default":{"default":"multiplication dans triangle"}},"category":"Sm"},{"key":"2A3C","mappings":{"default":{"default":"produit interieur"}},"category":"Sm"},{"category":"Sm","key":"2A3D","mappings":{"default":{"default":"produit intérieur à droite"}}},{"category":"Sm","key":"2A3E","mappings":{"default":{"default":"composition relationnelle en notation z"}}},{"key":"2A3F","mappings":{"default":{"default":"amalgamation ou coproduit"}},"category":"Sm"},{"key":"2A40","mappings":{"default":{"default":"intersection pointée"}},"category":"Sm"},{"category":"Sm","key":"2A41","mappings":{"default":{"default":"union à signe moins"}}},{"key":"2A42","mappings":{"default":{"default":"union à barre en chef"}},"category":"Sm"},{"key":"2A43","mappings":{"default":{"default":"intersection à barre en chef"}},"category":"Sm"},{"key":"2A44","mappings":{"default":{"default":"intersection avec et logique"}},"category":"Sm"},{"key":"2A45","mappings":{"default":{"default":"union avec ou logique"}},"category":"Sm"},{"key":"2A46","mappings":{"default":{"default":"union par dessus intersection"}},"category":"Sm"},{"key":"2A47","mappings":{"default":{"default":"intersection par dessus union"}},"category":"Sm"},{"key":"2A48","mappings":{"default":{"default":"union par dessus bar par dessus intersection"}},"category":"Sm"},{"key":"2A49","mappings":{"default":{"default":"intersection par dessus trait par dessus union"}},"category":"Sm"},{"key":"2A4A","mappings":{"default":{"default":"deux unions soudées côte à côte"}},"category":"Sm"},{"key":"2A4B","mappings":{"default":{"default":"deux intersections soudées côte à côte"}},"category":"Sm"},{"key":"2A4C","mappings":{"default":{"default":"union fermée à empattements"}},"category":"Sm"},{"key":"2A4D","mappings":{"default":{"default":"intersection fermée à empattements"}},"category":"Sm"},{"category":"Sm","key":"2A4E","mappings":{"default":{"default":"deux intersections carrées emboîtées"}}},{"category":"Sm","key":"2A4F","mappings":{"default":{"default":"deux unions carrées emboîtées"}}},{"key":"2A50","mappings":{"default":{"default":"union fermée à empattements et produit fusionné"}},"category":"Sm"},{"category":"Sm","key":"2A51","mappings":{"default":{"default":"et logique à point en chef"}}},{"category":"Sm","key":"2A52","mappings":{"default":{"default":"ou logique à point en chef"}}},{"key":"2A53","mappings":{"default":{"default":"double et logique"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"double ou logique"}},"category":"Sm"},{"key":"2A55","mappings":{"default":{"default":"deux et logiques entrecroisés"}},"category":"Sm"},{"key":"2A56","mappings":{"default":{"default":"deux ou logiques entrecroisés"}},"category":"Sm"},{"key":"2A57","mappings":{"default":{"default":"grand ou pentu"}},"category":"Sm"},{"key":"2A58","mappings":{"default":{"default":"grand et pentu"}},"category":"Sm"},{"category":"Sm","key":"2A59","mappings":{"default":{"default":"et et ou logiques entrecroisés"}}},{"key":"2A5A","mappings":{"default":{"default":"et logique à hampe médiane"}},"category":"Sm"},{"key":"2A5B","mappings":{"default":{"default":"ou logique à hampe médiane"}},"category":"Sm"},{"key":"2A5C","mappings":{"default":{"default":"et logique à tiret horizontal"}},"category":"Sm"},{"key":"2A5D","mappings":{"default":{"default":"ou logique à tiret horizontal"}},"category":"Sm"},{"category":"Sm","key":"2A5E","mappings":{"default":{"default":"et logique à deux barres en chef"}}},{"key":"2A5F","mappings":{"default":{"default":"et logique à barre souscrite"}},"category":"Sm"},{"category":"Sm","key":"2A60","mappings":{"default":{"default":"et logique à deux barres souscrites"}}},{"category":"Sm","key":"2A61","mappings":{"default":{"default":"petit v à barre souscrite"}}},{"category":"Sm","key":"2A62","mappings":{"default":{"default":"ou logique à deux barres en chef"}}},{"category":"Sm","key":"2A63","mappings":{"default":{"default":"ou logique à deux barres souscrites"}}},{"category":"Sm","key":"2A64","mappings":{"default":{"default":"antirestriction de domaine en notation z"}}},{"category":"Sm","key":"2A65","mappings":{"default":{"default":"antirestriction de codomaine en notation z"}}},{"key":"2A66","mappings":{"default":{"default":"égal point souscrit"}},"category":"Sm"},{"category":"Sm","key":"2A67","mappings":{"default":{"default":"identique à surmonté d'un point"}}},{"category":"Sm","key":"2A68","mappings":{"default":{"default":"deux barres verticales à trois traverses"}}},{"category":"Sm","key":"2A69","mappings":{"default":{"default":"trois barres verticales à trois traverses"}}},{"key":"2A6A","mappings":{"default":{"default":"opérateur tilde point en chef"}},"category":"Sm"},{"category":"Sm","key":"2A6B","mappings":{"default":{"default":"opérateur tilde à points ascendants"}}},{"category":"Sm","key":"2A6C","mappings":{"default":{"default":"similaire à moins similaire à"}}},{"key":"2A6D","mappings":{"default":{"default":"congruent point en chef"}},"category":"Sm"},{"category":"Sm","key":"2A6E","mappings":{"default":{"default":"Égal astérisque en chef"}}},{"key":"2A6F","mappings":{"default":{"default":"presque égal à circonflexe"}},"category":"Sm"},{"category":"Sm","key":"2A70","mappings":{"default":{"default":"approximativement égal à ou égal à"}}},{"key":"2A71","mappings":{"default":{"default":"plus signe égal en chef"}},"category":"Sm"},{"key":"2A72","mappings":{"default":{"default":"égal à signe plus en chef"}},"category":"Sm"},{"key":"2A73","mappings":{"default":{"default":"tilde signe égal en chef"}},"category":"Sm"},{"key":"2A74","mappings":{"default":{"default":"double deux points égal à"}},"category":"Sm"},{"key":"2A75","mappings":{"default":{"default":"deux signes égal à consécutifs"}},"category":"Sm"},{"category":"Sm","key":"2A76","mappings":{"default":{"default":"trois signes égal à consécutifs"}}},{"key":"2A77","mappings":{"default":{"default":"égal à deux points en chef deux points souscrits"}},"category":"Sm"},{"key":"2A78","mappings":{"default":{"default":"équivalent quatre points en chef"}},"category":"Sm"},{"key":"2A79","mappings":{"default":{"default":"inférieur à avec cercle inscrit"}},"category":"Sm"},{"key":"2A7A","mappings":{"default":{"default":"supérieur à avec cercle inscrit"}},"category":"Sm"},{"key":"2A7B","mappings":{"default":{"default":"inférieur à point d'interrogation en chef"}},"category":"Sm"},{"key":"2A7C","mappings":{"default":{"default":"supérieur à point d'interrogation en chef"}},"category":"Sm"},{"key":"2A7D","mappings":{"default":{"default":"plus petit ou égal à pentu"}},"category":"Sm"},{"key":"2A7E","mappings":{"default":{"default":"supérieur à ou égal à pentu"}},"category":"Sm"},{"key":"2A7F","mappings":{"default":{"default":"inférieur à ou égal à pentu point inscrit"}},"category":"Sm"},{"key":"2A80","mappings":{"default":{"default":"supérieur à ou égal à pentu point inscrit"}},"category":"Sm"},{"key":"2A81","mappings":{"default":{"default":"inférieur à ou égal à pentu point en chef"}},"category":"Sm"},{"key":"2A82","mappings":{"default":{"default":"supérieur à ou égal à pentu point en chef"}},"category":"Sm"},{"key":"2A83","mappings":{"default":{"default":"inférieur à ou égal à pentu point en chef droit"}},"category":"Sm"},{"key":"2A84","mappings":{"default":{"default":"supérieur à ou égal à pentu point en chef gauche"}},"category":"Sm"},{"category":"Sm","key":"2A85","mappings":{"default":{"default":"inférieur à ou approximatif"}}},{"category":"Sm","key":"2A86","mappings":{"default":{"default":"supérieur à ou approximatif"}}},{"category":"Sm","key":"2A87","mappings":{"default":{"default":"inférieur à et pas égal à une ligne"}}},{"category":"Sm","key":"2A88","mappings":{"default":{"default":"supérieur à et pas égal à une ligne"}}},{"key":"2A89","mappings":{"default":{"default":"inférieur à et non approximatif"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"supérieur à et non approximatif"}},"category":"Sm"},{"category":"Sm","key":"2A8B","mappings":{"default":{"default":"inférieur à par dessus égal à deux lignes par dessus supérieur à"}}},{"category":"Sm","key":"2A8C","mappings":{"default":{"default":"supérieur à par dessus égal à deux lignes par dessus inférieur à"}}},{"key":"2A8D","mappings":{"default":{"default":"inférieur à par dessus similaire à ou égal à"}},"category":"Sm"},{"key":"2A8E","mappings":{"default":{"default":"supérieur à par dessus similaire à ou égal à"}},"category":"Sm"},{"key":"2A8F","mappings":{"default":{"default":"inférieur à par dessus similaire à par dessus supérieur à"}},"category":"Sm"},{"key":"2A90","mappings":{"default":{"default":"supérieur à par dessus similaire à par dessus inférieur à"}},"category":"Sm"},{"key":"2A91","mappings":{"default":{"default":"inférieur à par dessus supérieur à par dessus égal à deux lignes"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"supérieur à par dessus inférieur à par dessus égal à deux lignes"}},"category":"Sm"},{"key":"2A93","mappings":{"default":{"default":"inférieur à par dessus égal à pentu par dessus supérieur à par dessus égal à pentu"}},"category":"Sm"},{"key":"2A94","mappings":{"default":{"default":"supérieur à par dessus égal à pentu par dessus inférieur à par dessus égal à pentu"}},"category":"Sm"},{"category":"Sm","key":"2A95","mappings":{"default":{"default":"Égal à incliné ou inférieur à"}}},{"category":"Sm","key":"2A96","mappings":{"default":{"default":"Égal à incliné ou supérieur à"}}},{"key":"2A97","mappings":{"default":{"default":"égal à pentu ou inférieur à point inscrit"}},"category":"Sm"},{"key":"2A98","mappings":{"default":{"default":"égal à pentu ou supérieur à point inscrit"}},"category":"Sm"},{"key":"2A99","mappings":{"default":{"default":"égal à deux lignes ou inférieur à"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"égal à deux lignes ou supérieur à"}},"category":"Sm"},{"category":"Sm","key":"2A9B","mappings":{"default":{"default":"inférieur à ou égal à à deux lignes inclinées"}}},{"category":"Sm","key":"2A9C","mappings":{"default":{"default":"supérieur à ou égal à à deux lignes inclinées"}}},{"key":"2A9D","mappings":{"default":{"default":"similaire à ou inférieur à"}},"category":"Sm"},{"key":"2A9E","mappings":{"default":{"default":"similaire à ou supérieur à"}},"category":"Sm"},{"key":"2A9F","mappings":{"default":{"default":"similaire à par dessus inférieur à par dessus signe égal"}},"category":"Sm"},{"key":"2AA0","mappings":{"default":{"default":"similaire à par dessus supérieur à par dessus signe égal"}},"category":"Sm"},{"key":"2AA1","mappings":{"default":{"default":"deux inférieur à emboîtés"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"deux supérieur à emboîtés"}},"category":"Sm"},{"category":"Sm","key":"2AA3","mappings":{"default":{"default":"deux inférieur à emboîtés avec barre souscrite"}}},{"key":"2AA4","mappings":{"default":{"default":"deux supérieur à entrecroisés"}},"category":"Sm"},{"key":"2AA5","mappings":{"default":{"default":"supérieur à à côté de inférieur à"}},"category":"Sm"},{"key":"2AA6","mappings":{"default":{"default":"inférieur à fermé d'un arc"}},"category":"Sm"},{"key":"2AA7","mappings":{"default":{"default":"supérieur à fermé d'un arc"}},"category":"Sm"},{"key":"2AA8","mappings":{"default":{"default":"inférieur à fermé d'un arc par dessus égal à pentu"}},"category":"Sm"},{"key":"2AA9","mappings":{"default":{"default":"supérieur à fermé d'un arc par dessus égal à pentu"}},"category":"Sm"},{"key":"2AAA","mappings":{"default":{"default":"plus petit que en fourche"}},"category":"Sm"},{"key":"2AAB","mappings":{"default":{"default":"plus grand que en fourche"}},"category":"Sm"},{"key":"2AAC","mappings":{"default":{"default":"plus petit ou égal que en fourche"}},"category":"Sm"},{"key":"2AAD","mappings":{"default":{"default":"plus grand ou égal que en fourche"}},"category":"Sm"},{"key":"2AAE","mappings":{"default":{"default":"égal et dos d'âne"}},"category":"Sm"},{"key":"2AAF","mappings":{"default":{"default":"précède par dessus signe égal à une ligne"}},"category":"Sm"},{"category":"Sm","key":"2AB0","mappings":{"default":{"default":"suit par dessus signe égal à une ligne"}}},{"category":"Sm","key":"2AB1","mappings":{"default":{"default":"précède par dessus pas égal à une ligne"}}},{"category":"Sm","key":"2AB2","mappings":{"default":{"default":"suit par dessus pas égal à une ligne"}}},{"category":"Sm","key":"2AB3","mappings":{"default":{"default":"précède par dessus signe égal"}}},{"category":"Sm","key":"2AB4","mappings":{"default":{"default":"suit par dessus signe égal"}}},{"key":"2AB5","mappings":{"default":{"default":"précède par dessus pas égal à"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"suit par dessus pas égal à"}},"category":"Sm"},{"category":"Sm","key":"2AB7","mappings":{"default":{"default":"précède par dessus presque égal à"}}},{"category":"Sm","key":"2AB8","mappings":{"default":{"default":"suit par dessus presque égal à"}}},{"category":"Sm","key":"2AB9","mappings":{"default":{"default":"précède par dessus non presque égal à"}}},{"category":"Sm","key":"2ABA","mappings":{"default":{"default":"suit par dessus non presque égal à"}}},{"key":"2ABB","mappings":{"default":{"default":"double précède"}},"category":"Sm"},{"key":"2ABC","mappings":{"default":{"default":"double suit"}},"category":"Sm"},{"key":"2ABD","mappings":{"default":{"default":"sous ensemble pointé"}},"category":"Sm"},{"key":"2ABE","mappings":{"default":{"default":"sur ensemble pointé"}},"category":"Sm"},{"key":"2ABF","mappings":{"default":{"default":"sous ensemble plus souscrit"}},"category":"Sm"},{"key":"2AC0","mappings":{"default":{"default":"sur ensemble plus souscrit"}},"category":"Sm"},{"key":"2AC1","mappings":{"default":{"default":"sous ensemble à signe de multiplication souscrit"}},"category":"Sm"},{"key":"2AC2","mappings":{"default":{"default":"sur ensemble à signe de multiplication souscrit"}},"category":"Sm"},{"key":"2AC3","mappings":{"default":{"default":"sous ensemble de ou égal à point en chef"}},"category":"Sm"},{"key":"2AC4","mappings":{"default":{"default":"sur ensemble de ou égal à point en chef"}},"category":"Sm"},{"category":"Sm","key":"2AC5","mappings":{"default":{"default":"sous ensemble de par dessus signe égal"}}},{"category":"Sm","key":"2AC6","mappings":{"default":{"default":"sur ensemble de par dessus signe égal"}}},{"key":"2AC7","mappings":{"default":{"default":"sous ensemble de par dessus opérateur tilde"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"sur ensemble de par dessus opérateur tilde"}},"category":"Sm"},{"category":"Sm","key":"2AC9","mappings":{"default":{"default":"sous ensemble de par dessus presque égal à"}}},{"category":"Sm","key":"2ACA","mappings":{"default":{"default":"sur ensemble de par dessus presque égal à"}}},{"category":"Sm","key":"2ACB","mappings":{"default":{"default":"sous ensemble de par dessus pas égal à"}}},{"category":"Sm","key":"2ACC","mappings":{"default":{"default":"sur ensemble de par dessus pas égal à"}}},{"category":"Sm","key":"2ACD","mappings":{"default":{"default":"opérateur boîte carrée ouverte gauche"}}},{"category":"Sm","key":"2ACE","mappings":{"default":{"default":"opérateur boîte carrée ouverte droite"}}},{"key":"2ACF","mappings":{"default":{"default":"sous ensemble clos"}},"category":"Sm"},{"key":"2AD0","mappings":{"default":{"default":"sur ensemble clos"}},"category":"Sm"},{"key":"2AD1","mappings":{"default":{"default":"sous ensemble clos ou égal à"}},"category":"Sm"},{"key":"2AD2","mappings":{"default":{"default":"sur ensemble clos ou égal à"}},"category":"Sm"},{"key":"2AD3","mappings":{"default":{"default":"sous ensemble par dessus sur ensemble"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"sur ensemble par dessus sous ensemble"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"sous ensemble par dessus sous ensemble"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"sur ensemble par dessus sur ensemble"}},"category":"Sm"},{"key":"2AD7","mappings":{"default":{"default":"sur ensemble à côté de sous ensemble"}},"category":"Sm"},{"key":"2AD8","mappings":{"default":{"default":"sur ensemble chaîné à sous ensemble"}},"category":"Sm"},{"key":"2AD9","mappings":{"default":{"default":"appartient à ouvert vers le bas"}},"category":"Sm"},{"key":"2ADA","mappings":{"default":{"default":"fourche surmontée d'un t"}},"category":"Sm"},{"key":"2ADB","mappings":{"default":{"default":"intersection transversale"}},"category":"Sm"},{"category":"Sm","key":"2ADC","mappings":{"default":{"default":"bifurcation (non indépendant)"}}},{"category":"Sm","key":"2ADD","mappings":{"default":{"default":"non bifurcation (indépendant)"}}},{"category":"Sm","key":"2ADE","mappings":{"default":{"default":"taquet gauche court"}}},{"category":"Sm","key":"2ADF","mappings":{"default":{"default":"taquet court vers le bas"}}},{"category":"Sm","key":"2AE0","mappings":{"default":{"default":"taquet court vers le haut"}}},{"category":"Sm","key":"2AE1","mappings":{"default":{"default":"perpendiculaire à s"}}},{"category":"Sm","key":"2AE2","mappings":{"default":{"default":"triple tourniquet droit à barre verticale"}}},{"category":"Sm","key":"2AE3","mappings":{"default":{"default":"tourniquet gauche à double barre verticale"}}},{"key":"2AE4","mappings":{"default":{"default":"double tourniquet gauche à barre verticale"}},"category":"Sm"},{"category":"Sm","key":"2AE5","mappings":{"default":{"default":"double tourniquet gauche à double barre verticale"}}},{"key":"2AE6","mappings":{"default":{"default":"double barre verticale gauche à traverse"}},"category":"Sm"},{"key":"2AE7","mappings":{"default":{"default":"taquet court vers le bas avec barre en chef"}},"category":"Sm"},{"key":"2AE8","mappings":{"default":{"default":"taquet court vers le haut avec barre souscrite"}},"category":"Sm"},{"key":"2AE9","mappings":{"default":{"default":"taquet court vers le haut par dessus taquet court vers le bas"}},"category":"Sm"},{"category":"Sm","key":"2AEA","mappings":{"default":{"default":"double taquet vers le bas"}}},{"key":"2AEB","mappings":{"default":{"default":"double taquet vers le haut"}},"category":"Sm"},{"key":"2AEC","mappings":{"default":{"default":"négation à deux traits"}},"category":"Sm"},{"key":"2AED","mappings":{"default":{"default":"négation à deux traits réfléchi"}},"category":"Sm"},{"key":"2AEE","mappings":{"default":{"default":"n'est pas un diviseur de à barre de négation réfléchie"}},"category":"Sm"},{"key":"2AEF","mappings":{"default":{"default":"ligne verticale cercle en chef"}},"category":"Sm"},{"key":"2AF0","mappings":{"default":{"default":"ligne verticale cercle souscrit"}},"category":"Sm"},{"key":"2AF1","mappings":{"default":{"default":"taquet vers le bas surmontant un cercle"}},"category":"Sm"},{"key":"2AF2","mappings":{"default":{"default":"parallèlle à vertical à une traverse"}},"category":"Sm"},{"key":"2AF3","mappings":{"default":{"default":"parallèle à avec opérateur tilde"}},"category":"Sm"},{"category":"Sm","key":"2AF4","mappings":{"default":{"default":"relation binaire triple barre verticale"}}},{"category":"Sm","key":"2AF5","mappings":{"default":{"default":"triple barre verticale à une traverse"}}},{"category":"Sm","key":"2AF6","mappings":{"default":{"default":"opérateur trois points"}}},{"category":"Sm","key":"2AF7","mappings":{"default":{"default":"trois inférieur à emboîtés"}}},{"category":"Sm","key":"2AF8","mappings":{"default":{"default":"trois supérieur à emboîtés"}}},{"category":"Sm","key":"2AF9","mappings":{"default":{"default":"inférieur à ou égal à et deux lignes inclinées"}}},{"category":"Sm","key":"2AFA","mappings":{"default":{"default":"supérieur à ou égal à et deux lignes inclinées"}}},{"category":"Sm","key":"2AFB","mappings":{"default":{"default":"relation binaire triple oblique"}}},{"category":"Sm","key":"2AFC","mappings":{"default":{"default":"grand opérateur à trois barres verticales"}}},{"category":"Sm","key":"2AFD","mappings":{"default":{"default":"opérateur double oblique"}}},{"category":"Sm","key":"2AFE","mappings":{"default":{"default":"barre verticale blanche"}}},{"category":"Sm","key":"2AFF","mappings":{"default":{"default":"barre verticale blanche n aire"}}},{"category":"Pd","key":"301C","mappings":{"default":{"default":"trait d'union en esse"}}},{"category":"Po","key":"FE10","mappings":{"default":{"default":"forme de présentation de virgule verticale"}}},{"category":"Po","key":"FE13","mappings":{"default":{"default":"forme de présentation de deux points vertical"}}},{"category":"Po","key":"FE14","mappings":{"default":{"default":"forme de présentation de point virgule vertical"}}},{"category":"Po","key":"FE15","mappings":{"default":{"default":"forme de présentation de point d'exclamation vertical"}}},{"category":"Po","key":"FE16","mappings":{"default":{"default":"forme de présentation de point d'interrogation vertical"}}},{"category":"Po","key":"FE19","mappings":{"default":{"default":"forme de présentation de points de suspension verticaux"}}},{"category":"Po","key":"FE30","mappings":{"default":{"default":"forme de présentation de point de conduite double vertical"}}},{"category":"Pd","key":"FE31","mappings":{"default":{"default":"forme de présentation de tiret cadratin vertical"}}},{"category":"Pd","key":"FE32","mappings":{"default":{"default":"forme de présentation de tiret demi cadratin vertical"}}},{"category":"Pc","key":"FE33","mappings":{"default":{"default":"forme de présentation de tiret bas vertical"}}},{"category":"Pc","key":"FE34","mappings":{"default":{"default":"forme de présentation de tiret bas ondulé vertical"}}},{"category":"Po","key":"FE45","mappings":{"default":{"default":"point sésame"}}},{"category":"Po","key":"FE46","mappings":{"default":{"default":"point sésame ajouré"}}},{"category":"Po","key":"FE49","mappings":{"default":{"default":"tiret haut en pointillés"}}},{"category":"Po","key":"FE4A","mappings":{"default":{"default":"tiret haut à point central"}}},{"category":"Po","key":"FE4B","mappings":{"default":{"default":"tiret haut ondulé"}}},{"category":"Po","key":"FE4C","mappings":{"default":{"default":"tiret haut double ondulé"}}},{"category":"Pc","key":"FE4D","mappings":{"default":{"default":"tiret bas avec pointillés"}}},{"category":"Pc","key":"FE4E","mappings":{"default":{"default":"tiret bas à point central"}}},{"category":"Pc","key":"FE4F","mappings":{"default":{"default":"tiret bas ondulé"}}},{"category":"Po","key":"FE50","mappings":{"default":{"default":"virgule minuscule"}}},{"category":"Po","key":"FE52","mappings":{"default":{"default":"point minuscule"}}},{"category":"Po","key":"FE54","mappings":{"default":{"default":"point virgule minuscule"}}},{"category":"Po","key":"FE55","mappings":{"default":{"default":"deux points minuscule"}}},{"category":"Po","key":"FE56","mappings":{"default":{"default":"point d'interrogation minuscule"}}},{"category":"Po","key":"FE57","mappings":{"default":{"default":"point d'exclamation minuscule"}}},{"category":"Pd","key":"FE58","mappings":{"default":{"default":"trait d'union cadratin minuscule"}}},{"category":"Po","key":"FE5F","mappings":{"default":{"default":"croisillon minuscule"}}},{"category":"Po","key":"FE60","mappings":{"default":{"default":"perluète minuscule"}}},{"category":"Po","key":"FE61","mappings":{"default":{"default":"astérisque minuscule"}}},{"category":"Sm","key":"FE62","mappings":{"default":{"default":"plus minuscule"}}},{"category":"Pd","key":"FE63","mappings":{"default":{"default":"tiret minuscule"}}},{"category":"Sm","key":"FE64","mappings":{"default":{"default":"inférieur à minuscule"}}},{"category":"Sm","key":"FE65","mappings":{"default":{"default":"supérieur à minuscule"}}},{"category":"Sm","key":"FE66","mappings":{"default":{"default":"égal à minuscule"}}},{"key":"FE68","mappings":{"default":{"default":"integer divide"}},"category":"Po"},{"category":"Sc","key":"FE69","mappings":{"default":{"default":"symbole dollar minuscule"}}},{"category":"Po","key":"FE6A","mappings":{"default":{"default":"symbole pour cent minuscule"}}},{"category":"Po","key":"FE6B","mappings":{"default":{"default":"arrobe minuscule"}}},{"category":"Po","key":"FF01","mappings":{"default":{"default":"point d'exclamation"}}},{"category":"Po","key":"FF02","mappings":{"default":{"default":"guillemet"}}},{"category":"Po","key":"FF03","mappings":{"default":{"default":"croisillon"}}},{"category":"Sc","key":"FF04","mappings":{"default":{"default":"symbole dollar"}}},{"category":"Po","key":"FF05","mappings":{"default":{"default":"symbole pour cent"}}},{"category":"Po","key":"FF06","mappings":{"default":{"default":"perluète"}}},{"category":"Po","key":"FF07","mappings":{"default":{"default":"apostrophe"}}},{"category":"Po","key":"FF0A","mappings":{"default":{"default":"astérisque"}}},{"category":"Sm","key":"FF0B","mappings":{"default":{"default":"plus"}}},{"category":"Po","key":"FF0C","mappings":{"default":{"default":"virgule"}}},{"category":"Pd","key":"FF0D","mappings":{"default":{"default":"tiret"}}},{"category":"Po","key":"FF0E","mappings":{"default":{"default":"point"}}},{"category":"Po","key":"FF0F","mappings":{"default":{"default":"barre oblique"}}},{"category":"Po","key":"FF1A","mappings":{"default":{"default":"deux points colon"}}},{"category":"Po","key":"FF1B","mappings":{"default":{"default":"point virgule"}}},{"category":"Sm","key":"FF1C","mappings":{"default":{"default":"inférieur à"}}},{"category":"Sm","key":"FF1D","mappings":{"default":{"default":"égal à"}}},{"category":"Sm","key":"FF1E","mappings":{"default":{"default":"supérieur à"}}},{"category":"Po","key":"FF1F","mappings":{"default":{"default":"point d'interrogation"}}},{"category":"Po","key":"FF20","mappings":{"default":{"default":"arrobe"}}},{"category":"Po","key":"FF3C","mappings":{"default":{"default":"barre oblique inversée"}}},{"category":"Sk","key":"FF3E","mappings":{"default":{"default":"accent circonflexe"}}},{"category":"Pc","key":"FF3F","mappings":{"default":{"default":"tiret bas"}}},{"category":"Sk","key":"FF40","mappings":{"default":{"default":"accent grave"}}},{"category":"Sm","key":"FF5C","mappings":{"default":{"default":"barre verticale"}}},{"category":"Sm","key":"FF5E","mappings":{"default":{"default":"tilde"}}},{"category":"Sc","key":"FFE0","mappings":{"default":{"default":"symbole centime"}}},{"category":"Sc","key":"FFE1","mappings":{"default":{"default":"symbole livre"}}},{"category":"Sm","key":"FFE2","mappings":{"default":{"default":"négation"}}},{"category":"Sk","key":"FFE3","mappings":{"default":{"default":"macron *"}}},{"category":"So","key":"FFE4","mappings":{"default":{"default":"ligne brisée"}}},{"category":"Sc","key":"FFE5","mappings":{"default":{"default":"symbole yen"}}},{"category":"Sc","key":"FFE6","mappings":{"default":{"default":"symbole won"}}},{"category":"So","key":"FFE8","mappings":{"default":{"default":"ligne verticale mince"}}},{"category":"So","key":"FFED","mappings":{"default":{"default":"carré noir"}}},{"category":"So","key":"FFEE","mappings":{"default":{"default":"cercle blanc"}}}]
+,
+"fr/symbols/math_whitespace.js": 
+[{"locale":"fr"},{"category":"Zs","key":"0020","mappings":{"default":{"default":"espace"}}},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"trait d'union conditionnel"}},"category":"Cf"},{"category":"Zs","key":"2000","mappings":{"default":{"default":"demi cadratin"}}},{"category":"Zs","key":"2001","mappings":{"default":{"default":"cadratin"}}},{"key":"2002","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2004","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2005","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Zs","key":"2006","mappings":{"default":{"default":"sixième de cadratin"}}},{"key":"2007","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2008","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"200C","mappings":{"default":{"default":"antiliant sans chasse"}},"category":"Cf"},{"key":"200D","mappings":{"default":{"default":"liant sans chasse"}},"category":"Cf"},{"key":"200E","mappings":{"default":{"default":"marque gauche à droite"}},"category":"Cf"},{"key":"200F","mappings":{"default":{"default":"marque droite à gauche"}},"category":"Cf"},{"category":"Zl","key":"2028","mappings":{"default":{"default":"séparateur de lignes"}}},{"category":"Zp","key":"2029","mappings":{"default":{"default":"séparateur de paragraphes"}}},{"category":"Cf","key":"202A","mappings":{"default":{"default":"enchâssement gauche à droite"}}},{"category":"Cf","key":"202B","mappings":{"default":{"default":"enchâssement droite à gauche"}}},{"category":"Cf","key":"202C","mappings":{"default":{"default":"dépilement de formatage directionnel"}}},{"category":"Cf","key":"202D","mappings":{"default":{"default":"forçage gauche à droite"}}},{"category":"Cf","key":"202E","mappings":{"default":{"default":"forçage droite à gauche"}}},{"category":"Zs","key":"202F","mappings":{"default":{"default":"espace insécable étroite"}}},{"key":"205F","mappings":{"default":{"default":"espace moyenne mathématique"}},"category":"Zs"},{"key":"2060","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"2061","mappings":{"default":{"default":"de"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":" "}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"2064","mappings":{"default":{"default":"plus invisible"}}},{"category":"Cf","key":"206A","mappings":{"default":{"default":"inhibiteur d'échange symétrique"}}},{"category":"Cf","key":"206B","mappings":{"default":{"default":"activateur d'échange symétrique"}}},{"category":"Cf","key":"206E","mappings":{"default":{"default":"sélecteur de formes numérales nationales"}}},{"category":"Cf","key":"206F","mappings":{"default":{"default":"sélecteur de formes numérales de référence"}}},{"key":"FEFF","mappings":{"default":{"default":"espace ultrafine"}},"category":"Cf"},{"category":"Cf","key":"FFF9","mappings":{"default":{"default":"ancre d'annotation interlinéaire"}}},{"category":"Cf","key":"FFFA","mappings":{"default":{"default":"séparateur d'annotation interlinéaire"}}},{"category":"Cf","key":"FFFB","mappings":{"default":{"default":"terminateur d'annotation interlinéaire"}}}]
+,
+"fr/symbols/other_stars.js": 
+[{"locale":"fr"},{"category":"So","key":"23E8","mappings":{"default":{"default":"symbole exposant décimal"}}},{"key":"2605","mappings":{"default":{"default":"étoile noire"}},"category":"So"},{"key":"2606","mappings":{"default":{"default":"étoile blanche"}},"category":"So"},{"category":"So","key":"26AA","mappings":{"default":{"default":"cercle moyen blanc"}}},{"category":"So","key":"26AB","mappings":{"default":{"default":"cercle moyen noir"}}},{"category":"So","key":"2705","mappings":{"default":{"default":"signe de vérification blanc gras"}}},{"key":"2713","mappings":{"default":{"default":"signe de vérification"}},"category":"So"},{"category":"So","key":"2714","mappings":{"default":{"default":"gros signe de vérification"}}},{"category":"So","key":"2715","mappings":{"default":{"default":"x de multiplication"}}},{"category":"So","key":"2716","mappings":{"default":{"default":"gros x de multiplication"}}},{"key":"2717","mappings":{"default":{"default":"x de bulletin de vote"}},"category":"So"},{"category":"So","key":"2718","mappings":{"default":{"default":"gros x de bulletin de vote"}}},{"category":"So","key":"271B","mappings":{"default":{"default":"croix percée d'un carré"}}},{"category":"So","key":"271C","mappings":{"default":{"default":"grosse croix percée d'un carré"}}},{"key":"2720","mappings":{"default":{"default":"croix de malte"}},"category":"So"},{"category":"So","key":"2721","mappings":{"default":{"default":"Étoile de david"}}},{"category":"So","key":"2722","mappings":{"default":{"default":"croix larmée"}}},{"category":"So","key":"2723","mappings":{"default":{"default":"croix pommetée"}}},{"category":"So","key":"2724","mappings":{"default":{"default":"grosse croix pommetée"}}},{"category":"So","key":"2725","mappings":{"default":{"default":"croix tréflée"}}},{"category":"So","key":"2726","mappings":{"default":{"default":"Étoile noire à quatre branches"}}},{"category":"So","key":"2727","mappings":{"default":{"default":"Étoile blanche à quatre branches"}}},{"category":"So","key":"2728","mappings":{"default":{"default":"scintillements"}}},{"category":"So","key":"2729","mappings":{"default":{"default":"Étoile blanche à contour accentué"}}},{"category":"So","key":"272A","mappings":{"default":{"default":"Étoile blanche cerclée"}}},{"category":"So","key":"272B","mappings":{"default":{"default":"molette noire"}}},{"category":"So","key":"272C","mappings":{"default":{"default":"molette blanche"}}},{"category":"So","key":"272D","mappings":{"default":{"default":"Étoile noire avec contour"}}},{"category":"So","key":"272E","mappings":{"default":{"default":"Étoile noire avec gros contour"}}},{"category":"So","key":"272F","mappings":{"default":{"default":"Étoile rayonnante"}}},{"category":"So","key":"2730","mappings":{"default":{"default":"Étoile blanche ombrée"}}},{"category":"So","key":"2731","mappings":{"default":{"default":"gros astérisque"}}},{"category":"So","key":"2732","mappings":{"default":{"default":"astérisque percé"}}},{"category":"So","key":"2733","mappings":{"default":{"default":"astérisque à huit branches"}}},{"category":"So","key":"2734","mappings":{"default":{"default":"Étoile noire à huit branches"}}},{"category":"So","key":"2735","mappings":{"default":{"default":"Étoile rayonnante à huit branches"}}},{"key":"2736","mappings":{"default":{"default":"étoile noire à six branches"}},"category":"So"},{"category":"So","key":"2739","mappings":{"default":{"default":"Étoile noire à douze branches"}}},{"category":"So","key":"273A","mappings":{"default":{"default":"astérisque à seize branches"}}},{"category":"So","key":"273B","mappings":{"default":{"default":"astérisque larmé"}}},{"category":"So","key":"273C","mappings":{"default":{"default":"astérisque larmé percé"}}},{"key":"273D","mappings":{"default":{"default":"gros astérisque larmé"}},"category":"So"},{"category":"So","key":"273E","mappings":{"default":{"default":"sixtefeuille blanche et noire"}}},{"category":"So","key":"273F","mappings":{"default":{"default":"quintefeuille noire"}}},{"category":"So","key":"2740","mappings":{"default":{"default":"quintefeuille blanche"}}},{"category":"So","key":"2741","mappings":{"default":{"default":"double quartefeuille noire avec contour"}}},{"category":"So","key":"2742","mappings":{"default":{"default":"Étoile cerclée percée à huit branches"}}},{"category":"So","key":"2743","mappings":{"default":{"default":"gros astérisque rayonnant larmé"}}},{"category":"So","key":"2744","mappings":{"default":{"default":"flocon de neige"}}},{"category":"So","key":"2745","mappings":{"default":{"default":"flocon de neige à trois folioles transpercé"}}},{"category":"So","key":"2746","mappings":{"default":{"default":"gros flocon de neige à chevrons"}}},{"category":"So","key":"2747","mappings":{"default":{"default":"Étincellement"}}},{"category":"So","key":"2748","mappings":{"default":{"default":"gros étincellement"}}},{"category":"So","key":"2749","mappings":{"default":{"default":"astérisque pommeté"}}},{"category":"So","key":"274A","mappings":{"default":{"default":"astérisque hélice à huit branches larmées"}}},{"category":"So","key":"274B","mappings":{"default":{"default":"gros astérisque hélice à huit branches larmées"}}},{"category":"So","key":"274C","mappings":{"default":{"default":"croix grasse"}}},{"category":"So","key":"274D","mappings":{"default":{"default":"cercle blanc ombré"}}}]
+,
+"fr/units/energy.js": 
+[{"locale":"fr"},{"key":"W","mappings":{"default":{"default":"watts","singular":"watt","dual":""}},"category":"energy","names":["W","w"]},{"key":"J","mappings":{"default":{"default":"joules","singular":"joule","dual":""}},"category":"energy","names":["J"]},{"key":"N","mappings":{"default":{"default":"newtons","singular":"newton","dual":""}},"category":"energy","names":["N"]},{"key":"A","mappings":{"default":{"default":"ampères","singular":"ampère","dual":""}},"category":"energy","names":["A"]},{"key":"V","mappings":{"default":{"default":"volts","singular":"volt","dual":""}},"category":"energy","names":["V"]},{"key":"Ω","mappings":{"default":{"default":"ohms","singular":"ohm","dual":""}},"category":"energy","names":["Ω","Ohm"]}]
+,
+"fr/units/length.js": 
+[{"locale":"fr"},{"key":"m","mappings":{"default":{"default":"mètres","singular":"mètre","dual":""}},"category":"Length","names":["m"]},{"key":"ft","mappings":{"default":{"default":"pieds","singular":"pied","dual":""}},"category":"Length","names":["ft","ft."]},{"key":"in","mappings":{"default":{"default":"pouces","singular":"pouce","dual":""}},"category":"Length","names":["in","in."]},{"key":"mi","mappings":{"default":{"default":"miles","singular":"mile","dual":""}},"category":"Length","names":["mi","mi."]},{"key":"yd","mappings":{"default":{"default":"yards","singular":"yard","dual":""}},"category":"Length","names":["yd","yd."]}]
+,
+"fr/units/memory.js": 
+[{"locale":"fr"}]
+,
+"fr/units/other.js": 
+[{"locale":"fr"}]
+,
+"fr/units/speed.js": 
+[{"locale":"fr"},{"key":"mph","mappings":{"default":{"default":"miles par heure","singular":"mile par heure","dual":""}},"names":["mph"]}]
+,
+"fr/units/temperature.js": 
+[{"locale":"fr"},{"key":"F","mappings":{"default":{"default":"farads","singular":"farad","dual":""}},"names":["F","F.","°F"]},{"key":"C","mappings":{"default":{"default":"coulombs","singular":"coulomb","dual":""}},"names":["C","°C"]},{"key":"K","mappings":{"default":{"default":"kelvins","singular":"kelvin","dual":""}},"names":["K","°K"]}]
+,
+"fr/units/time.js": 
+[{"locale":"fr"},{"key":"s","mappings":{"default":{"default":"secondes","singular":"seconde","dual":""}},"category":"time","names":["s"]}]
+,
+"fr/units/volume.js": 
+[{"locale":"fr"},{"key":"bbl","mappings":{"default":{"default":"barils","singular":"baril","dual":""}},"category":"volume","names":["bbl.","bbl"]},{"key":"gal","mappings":{"default":{"default":"gallons","singular":"gallon","dual":""}},"category":"volume","names":["gal","gal."]},{"key":"pt","mappings":{"default":{"default":"pintes","singular":"pinte","dual":""}},"category":"volume","names":["pt","pt."]},{"key":"qt","mappings":{"default":{"default":"quarts","singular":"quart","dual":""}},"category":"volume","names":["qt","qt."]},{"key":"tbsp","mappings":{"default":{"default":"cuillères de table","singular":"cuillèe de table","dual":""}},"category":"volume","names":["tbsp","tbsp."]},{"key":"tsp","mappings":{"default":{"default":"cuillèes à thé","singular":"cuillère à thé","dual":""}},"category":"volume","names":["tsp","tsp."]},{"key":"l","mappings":{"default":{"default":"litres","singular":"litre","dual":""}},"category":"volume","names":["l"]}]
+,
+"fr/units/weight.js": 
+[{"locale":"fr"},{"key":"lb","mappings":{"default":{"default":"livres","singular":"livre","dual":""}},"names":["lb","lb."]},{"key":"oz","mappings":{"default":{"default":"onces","singular":"oce","dual":""}},"names":["oz","oz."]},{"key":"gr","mappings":{"default":{"default":"grains","singular":"grain","dual":""}},"names":["g","gr"]},{"key":"t","mappings":{"default":{"default":"tonnes","singular":"tonne","dual":""}},"names":["t","T"]}]
+,
+"nemeth/functions/algebra.js": 
+[{"locale":"nemeth"},{"category":"Algebra","mappings":{"default":{"default":"⠙⠑⠛"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"⠙⠑⠞"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"⠙⠊⠍"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"⠓⠕⠍"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"⠅⠑⠗"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"⠠⠞⠗"}},"key":"Tr","names":["Tr","tr"]}]
+,
+"nemeth/functions/elementary.js": 
+[{"locale":"nemeth"},{"category":"Logarithm","mappings":{"default":{"default":"⠇⠕⠏⠀"}},"key":"log","names":["log"]},{"category":"Logarithm","mappings":{"default":{"default":"⠇⠝⠀"}},"key":"ln","names":["ln"]},{"category":"Logarithm","mappings":{"default":{"default":"⠇⠛"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"⠑⠭⠏"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"⠛⠉⠙"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"⠇⠉⠍"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"⠁⠗⠛⠀"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"⠊⠍"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"⠗⠑"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"⠊⠝⠋⠀"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"⠇⠊⠍"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"⠇⠊⠍⠊⠝⠀⠋"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"⠇⠊⠍⠎⠥⠏"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"⠍⠁⠭⠀"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"⠍⠊⠝⠀"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"⠎⠥⠏"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"⠊⠝⠚⠇⠊⠍"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"⠏⠗⠕⠚⠇⠊⠍"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"⠍⠕⠙"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"⠠⠏⠗"}},"key":"Pr","names":["Pr"]}]
+,
+"nemeth/functions/hyperbolic.js": 
+[{"locale":"nemeth"},{"category":"Hyperbolic","mappings":{"default":{"default":"⠉⠕⠎⠓⠀"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠉⠕⠞⠓⠀"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠉⠎⠉⠓⠀"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠎⠑⠉⠓⠀"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠎⠊⠝⠓⠀"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠞⠁⠕⠓⠀"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠉⠀⠕⠎⠓"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠉⠀⠕⠞⠓"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠉⠀⠎⠉⠓"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠎⠑⠉⠓⠀"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠎⠊⠝⠓⠀"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠞⠁⠕⠓⠀"}},"key":"artanh","names":["artanh","arctanh"]}]
+,
+"nemeth/functions/trigonometry.js": 
+[{"locale":"nemeth"},{"category":"Trigonometric","mappings":{"default":{"default":"⠉⠕⠎⠀"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠉⠕⠞⠀"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠉⠎⠉⠀"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠎⠑⠉⠀"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠎⠊⠝⠀"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠞⠁⠝⠀"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠉⠕⠎⠀"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠉⠕⠞⠀"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠉⠎⠉⠀"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠎⠑⠉⠀"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠎⠊⠝⠀"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠞⠁⠝⠀"}},"key":"arctan","names":["arctan"]}]
+,
+"nemeth/symbols/digits_rest.js": 
+[{"locale":"nemeth"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠲⠼"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠆⠼"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"⠹⠒⠌⠲⠼"}},"key":"00BE"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠶⠼"}},"key":"2150"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠔⠼"}},"key":"2151"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠂⠴⠼"}},"key":"2152"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠒⠼"}},"key":"2153"},{"category":"No","mappings":{"default":{"default":"⠹⠆⠌⠒⠼"}},"key":"2154"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠢⠼"}},"key":"2155"},{"category":"No","mappings":{"default":{"default":"⠹⠆⠌⠢⠼"}},"key":"2156"},{"category":"No","mappings":{"default":{"default":"⠹⠒⠌⠢⠼"}},"key":"2157"},{"category":"No","mappings":{"default":{"default":"⠹⠲⠌⠢⠼"}},"key":"2158"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠖⠼"}},"key":"2159"},{"category":"No","mappings":{"default":{"default":"⠹⠢⠌⠖⠼"}},"key":"215A"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠦⠼"}},"key":"215B"},{"category":"No","mappings":{"default":{"default":"⠹⠒⠌⠦⠼"}},"key":"215C"},{"category":"No","mappings":{"default":{"default":"⠹⠢⠌⠦⠼"}},"key":"215D"},{"category":"No","mappings":{"default":{"default":"⠹⠶⠌⠦⠼"}},"key":"215E"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠼"}},"key":"215F"},{"category":"No","mappings":{"default":{"default":"⠹⠴⠌⠒⠼"}},"key":"2189"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠂⠴⠻⠻"}},"key":"3248"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠆⠴⠻⠻"}},"key":"3249"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠒⠴⠻⠻"}},"key":"324A"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠲⠴⠻⠻"}},"key":"324B"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠢⠴⠻⠻"}},"key":"324C"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠖⠴⠻⠻"}},"key":"324D"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠶⠴⠻⠻"}},"key":"324E"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠦⠴⠻⠻"}},"key":"324F"}]
+,
+"nemeth/symbols/greek-rest.js": 
+[{"locale":"nemeth"}]
+,
+"nemeth/symbols/greek-scripts.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠖⠄"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠶⠄"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠦⠄"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠔⠄"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠁⠄"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠢⠑⠄"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠴⠄"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠖⠄"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠶⠄"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠦⠄"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠔⠄"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠁⠄"}}}]
+,
+"nemeth/symbols/greek-symbols.js": 
+[{"locale":"nemeth"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠙⠴⠄"}},"key":"03D0"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠙⠶⠄"}},"key":"03D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠋⠖⠄"}},"key":"03F6"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠶⠉⠁⠄"}},"key":"1D7CA"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠶⠉⠃⠄"}},"key":"1D7CB"}]
+,
+"nemeth/symbols/hebrew_letters.js": 
+[{"locale":"nemeth"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠢⠄"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠖⠄"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠶⠄"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠦⠄"}},"key":"2138"}]
+,
+"nemeth/symbols/latin-lower-double-accent.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠖⠄"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠦⠄"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠁⠄"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠉⠄"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠋⠄"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠂⠄"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠙⠄"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠃⠄"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠃⠄"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠙⠄"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠂⠄"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠔⠄"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠢⠄"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠶⠄"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠙⠄"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠋⠄"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠔⠄"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠙⠄"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠋⠄"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠂⠄"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠒⠄"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠙⠄"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠢⠄"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠶⠄"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠔⠄"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠔⠄"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠃⠄"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠢⠄"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠶⠄"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠔⠄"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠃⠄"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠙⠄"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠋⠄"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠂⠄"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠒⠄"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠢⠄"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠶⠄"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠋⠄"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠂⠄"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠒⠄"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠢⠄"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠶⠄"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠂⠄"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠒⠄"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠢⠄"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠶⠄"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠔⠄"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠃⠄"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠙⠄"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠋⠄"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠂⠄"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠒⠄"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠔⠄"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠃⠄"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠙⠄"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠋⠄"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠂⠄"}}}]
+,
+"nemeth/symbols/latin-lower-phonetic.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠂⠄"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠶⠄"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠆⠄"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠶⠄"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠴⠄"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠃⠄"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠖⠄"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠑⠄"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠢⠄"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠋⠄"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠉⠄"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠶⠄"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠔⠄"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠙⠄"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠋⠄"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠋⠄"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠦⠄"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠲⠄"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠂⠄"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠆⠄"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠒⠄"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠉⠄"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠙⠄"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠋⠄"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠉⠄"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠙⠄"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠙⠄"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠃⠄"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠋⠄"}}},{"category":"Ll","key":"0138","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠦⠄"}}},{"category":"Ll","key":"017F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠋⠄"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠒⠄"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠢⠄"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠦⠄"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠉⠄"}}},{"category":"Ll","key":"0192","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠆⠄"}}},{"category":"Ll","key":"0195","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠢⠄"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠔⠄"}}},{"category":"Ll","key":"019A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠁⠄"}}},{"category":"Ll","key":"019E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠑⠄"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠂⠄"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠒⠄"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠢⠄"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠦⠄"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠁⠄"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠃⠄"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠙⠄"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠴⠄"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠲⠄"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠔⠄"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠁⠄"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠙⠄"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠋⠄"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠖⠄"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠔⠄"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠉⠄"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠒⠄"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠋⠄"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠒⠄"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠙⠄"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠙⠄"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠙⠄"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠂⠄"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠒⠄"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠢⠄"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠲⠄"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠢⠄"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠖⠄"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠦⠄"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠔⠄"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠋⠄"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠴⠄"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠆⠄"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠃⠄"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠴⠄"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠂⠄"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠆⠄"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠒⠄"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠲⠄"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠢⠄"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠖⠄"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠶⠄"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠦⠄"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠔⠄"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠁⠄"}}},{"category":"Ll","key":"025B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠃⠄"}}},{"category":"Ll","key":"025C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠉⠄"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠙⠄"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠑⠄"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠴⠄"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠂⠄"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠒⠄"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠲⠄"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠢⠄"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠖⠄"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠶⠄"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠔⠄"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠃⠄"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠉⠄"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠙⠄"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠑⠄"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠋⠄"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠴⠄"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠂⠄"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠆⠄"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠒⠄"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠢⠄"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠶⠄"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠦⠄"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠔⠄"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠁⠄"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠃⠄"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠉⠄"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠙⠄"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠑⠄"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠋⠄"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠆⠄"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠒⠄"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠢⠄"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠖⠄"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠶⠄"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠦⠄"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠔⠄"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠁⠄"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠃⠄"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠉⠄"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠙⠄"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠑⠄"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠴⠄"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠂⠄"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠆⠄"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠒⠄"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠢⠄"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠖⠄"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠶⠄"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠦⠄"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠁⠄"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠑⠄"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠴⠄"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠒⠄"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠲⠄"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠢⠄"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠖⠄"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠶⠄"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠦⠄"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠔⠄"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠁⠄"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠃⠄"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠉⠄"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠙⠄"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠑⠄"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠋⠄"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠴⠆⠄"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠴⠦⠄"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠴⠔⠄"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠂⠄"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠆⠄"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠲⠄"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠖⠄"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠶⠄"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠙⠄"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠑⠄"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠋⠄"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠲⠄"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠢⠄"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠃⠄"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠉⠄"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠙⠄"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠑⠄"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠋⠄"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠴⠄"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠂⠄"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠆⠄"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠒⠄"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠲⠄"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠢⠄"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠖⠄"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠶⠄"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠔⠄"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠁⠄"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠴⠄"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠂⠄"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠆⠄"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠒⠄"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠲⠄"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠢⠄"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠖⠄"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠶⠄"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠦⠄"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠔⠄"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠁⠄"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠃⠄"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠉⠄"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠙⠄"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠑⠄"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠋⠄"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠴⠄"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠂⠄"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠆⠄"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠒⠄"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠲⠄"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠢⠄"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠖⠄"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠶⠄"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠦⠄"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠔⠄"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠁⠄"}}},{"category":"Ll","key":"0149","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠔⠄"}}},{"category":"Ll","key":"014B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠃⠄"}}}]
+,
+"nemeth/symbols/latin-lower-single-accent.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"00E0","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E1","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E2","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E3","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E4","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E5","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E7","mappings":{"default":{"default":"⠈⠉"}}},{"category":"Ll","key":"00E8","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00E9","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00EA","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00EB","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00EC","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00ED","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00EE","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00EF","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00F1","mappings":{"default":{"default":"⠈⠝"}}},{"category":"Ll","key":"00F2","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F3","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F4","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F5","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F6","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F9","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FA","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FB","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FC","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FD","mappings":{"default":{"default":"⠈⠽"}}},{"category":"Ll","key":"00FF","mappings":{"default":{"default":"⠈⠽"}}},{"category":"Ll","key":"0101","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠂⠄"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠒⠄"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠢⠄"}}},{"category":"Ll","key":"0107","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠶⠄"}}},{"category":"Ll","key":"0109","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠔⠄"}}},{"category":"Ll","key":"010B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠃⠄"}}},{"category":"Ll","key":"010D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠙⠄"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠋⠄"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠒⠄"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠢⠄"}}},{"category":"Ll","key":"0117","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠶⠄"}}},{"category":"Ll","key":"0119","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠔⠄"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠃⠄"}}},{"category":"Ll","key":"011D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠙⠄"}}},{"category":"Ll","key":"011F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠋⠄"}}},{"category":"Ll","key":"0121","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠂⠄"}}},{"category":"Ll","key":"0123","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠒⠄"}}},{"category":"Ll","key":"0125","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠢⠄"}}},{"category":"Ll","key":"0129","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠔⠄"}}},{"category":"Ll","key":"012B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠃⠄"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠙⠄"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠋⠄"}}},{"category":"Ll","key":"0131","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠂⠄"}}},{"category":"Ll","key":"0135","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠢⠄"}}},{"category":"Ll","key":"0137","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠶⠄"}}},{"category":"Ll","key":"013A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠁⠄"}}},{"category":"Ll","key":"013C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠉⠄"}}},{"category":"Ll","key":"013E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠑⠄"}}},{"category":"Ll","key":"0140","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠴⠄"}}},{"category":"Ll","key":"0144","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠲⠄"}}},{"category":"Ll","key":"0146","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠖⠄"}}},{"category":"Ll","key":"0148","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠦⠄"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠙⠄"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠋⠄"}}},{"category":"Ll","key":"0151","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠂⠄"}}},{"category":"Ll","key":"0155","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠢⠄"}}},{"category":"Ll","key":"0157","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠶⠄"}}},{"category":"Ll","key":"0159","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠔⠄"}}},{"category":"Ll","key":"015B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠃⠄"}}},{"category":"Ll","key":"015D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠙⠄"}}},{"category":"Ll","key":"015F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠋⠄"}}},{"category":"Ll","key":"0161","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠂⠄"}}},{"category":"Ll","key":"0163","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠒⠄"}}},{"category":"Ll","key":"0165","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠢⠄"}}},{"category":"Ll","key":"0169","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠔⠄"}}},{"category":"Ll","key":"016B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠃⠄"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠙⠄"}}},{"category":"Ll","key":"016F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠋⠄"}}},{"category":"Ll","key":"0171","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠂⠄"}}},{"category":"Ll","key":"0173","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠒⠄"}}},{"category":"Ll","key":"0175","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠢⠄"}}},{"category":"Ll","key":"0177","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠶⠄"}}},{"category":"Ll","key":"017A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠁⠄"}}},{"category":"Ll","key":"017C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠉⠄"}}},{"category":"Ll","key":"017E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠑⠄"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠑⠄"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠴⠄"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠆⠄"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠲⠄"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠶⠄"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠔⠄"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠃⠄"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠴⠄"}}},{"category":"Ll","key":"01F5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠢⠄"}}},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠔⠄"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠂⠄"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠒⠄"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠢⠄"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠶⠄"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠔⠄"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠃⠄"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠙⠄"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠋⠄"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠂⠄"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠒⠄"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠢⠄"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠶⠄"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠔⠄"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠃⠄"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠋⠄"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠶⠄"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠔⠄"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠋⠄"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠒⠄"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠶⠄"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠂⠄"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠒⠄"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠢⠄"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠶⠄"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠃⠄"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠙⠄"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠋⠄"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠂⠄"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠒⠄"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠔⠄"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠃⠄"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠋⠄"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠂⠄"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠒⠄"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠢⠄"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠶⠄"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠔⠄"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠃⠄"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠙⠄"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠂⠄"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠒⠄"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠢⠄"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠶⠄"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠃⠄"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠙⠄"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠋⠄"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠂⠄"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠒⠄"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠢⠄"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠶⠄"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠔⠄"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠃⠄"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠢⠄"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠶⠄"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠔⠄"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠃⠄"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠋⠄"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠂⠄"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠒⠄"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠃⠄"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠙⠄"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠋⠄"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠂⠄"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠒⠄"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠢⠄"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠶⠄"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠙⠄"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠋⠄"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠂⠄"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠒⠄"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠢⠄"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠶⠄"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠔⠄"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠃⠄"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠙⠄"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠋⠄"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠂⠄"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠒⠄"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠢⠄"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠖⠄"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠶⠄"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠦⠄"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠔⠄"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠁⠄"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠂⠄"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠒⠄"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠔⠄"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠃⠄"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠙⠄"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠔⠄"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠃⠄"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠙⠄"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠋⠄"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠢⠄"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠶⠄"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠒⠄"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠢⠄"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠶⠄"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠔⠄"}}}]
+,
+"nemeth/symbols/latin-rest.js": 
+[{"locale":"nemeth"},{"category":"Mn","key":"0363","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠒⠄"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠲⠄"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠢⠄"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠖⠄"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠶⠄"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠦⠄"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠔⠄"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠁⠄"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠃⠄"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠉⠄"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠙⠄"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠑⠄"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠋⠄"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠆⠄"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠒⠄"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠲⠄"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠢⠄"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠉⠁⠄"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠒⠄"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠲⠄"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠢⠄"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠖⠄"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠶⠄"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠦⠄"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠔⠄"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠁⠄"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠃⠄"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠉⠄"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠙⠄"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠑⠄"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠋⠄"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠴⠄"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠂⠄"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠆⠄"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠒⠄"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠲⠄"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠢⠄"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠖⠄"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠂⠄"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠋⠄"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠴⠄"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠂⠄"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠆⠄"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠒⠄"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠲⠄"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠢⠄"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠖⠄"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠶⠄"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠦⠄"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠔⠄"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠁⠄"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠃⠄"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠉⠄"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"⠄⡳⠭⠆⠉⠶⠉⠄"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠆⠁⠄"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠆⠃⠄"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠆⠉⠄"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠦⠁⠄"}}}]
+,
+"nemeth/symbols/latin-upper-double-accent.js": 
+[{"locale":"nemeth"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠢⠄"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠶⠄"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠔⠄"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠃⠄"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠑⠄"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠴⠄"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠉⠄"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠁⠄"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠁⠄"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠉⠄"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠴⠄"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠦⠄"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠲⠄"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠖⠄"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠉⠄"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠑⠄"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠦⠄"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠉⠄"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠑⠄"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠴⠄"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠆⠄"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠉⠄"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠲⠄"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠖⠄"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠦⠄"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠦⠄"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠁⠄"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠲⠄"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠖⠄"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠦⠄"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠁⠄"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠉⠄"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠑⠄"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠴⠄"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠆⠄"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠲⠄"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠖⠄"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠑⠄"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠴⠄"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠆⠄"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠲⠄"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠖⠄"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠴⠄"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠆⠄"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠲⠄"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠖⠄"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠦⠄"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠁⠄"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠉⠄"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠑⠄"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠴⠄"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠆⠄"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠦⠄"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠁⠄"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠉⠄"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠑⠄"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠴⠄"}}}]
+,
+"nemeth/symbols/latin-upper-single-accent.js": 
+[{"locale":"nemeth"},{"category":"Lu","key":"00C0","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C1","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C2","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C3","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C4","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C5","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C7","mappings":{"default":{"default":"⠠⠈⠉"}}},{"category":"Lu","key":"00C8","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00C9","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00CA","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00CB","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00CC","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00CD","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00CE","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00CF","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00D1","mappings":{"default":{"default":"⠠⠈⠝"}}},{"category":"Lu","key":"00D2","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D3","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D4","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D5","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠙⠢⠄"}}},{"category":"Lu","key":"00D6","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D9","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DA","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DB","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DC","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DD","mappings":{"default":{"default":"⠠⠈⠽"}}},{"category":"Lu","key":"0100","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠴⠄"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠆⠄"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠲⠄"}}},{"category":"Lu","key":"0106","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠖⠄"}}},{"category":"Lu","key":"0108","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠦⠄"}}},{"category":"Lu","key":"010A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠁⠄"}}},{"category":"Lu","key":"010C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠉⠄"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠑⠄"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠆⠄"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠲⠄"}}},{"category":"Lu","key":"0116","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠖⠄"}}},{"category":"Lu","key":"0118","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠦⠄"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠁⠄"}}},{"category":"Lu","key":"011C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠉⠄"}}},{"category":"Lu","key":"011E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠑⠄"}}},{"category":"Lu","key":"0120","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠴⠄"}}},{"category":"Lu","key":"0122","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠆⠄"}}},{"category":"Lu","key":"0124","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠲⠄"}}},{"category":"Lu","key":"0128","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠦⠄"}}},{"category":"Lu","key":"012A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠁⠄"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠉⠄"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠑⠄"}}},{"category":"Lu","key":"0130","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠴⠄"}}},{"category":"Lu","key":"0134","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠲⠄"}}},{"category":"Lu","key":"0136","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠖⠄"}}},{"category":"Lu","key":"0139","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠔⠄"}}},{"category":"Lu","key":"013B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠃⠄"}}},{"category":"Lu","key":"013D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠙⠄"}}},{"category":"Lu","key":"013F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠋⠄"}}},{"category":"Lu","key":"0143","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠒⠄"}}},{"category":"Lu","key":"0145","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠢⠄"}}},{"category":"Lu","key":"0147","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠶⠄"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠉⠄"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠑⠄"}}},{"category":"Lu","key":"0150","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠴⠄"}}},{"category":"Lu","key":"0154","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠲⠄"}}},{"category":"Lu","key":"0156","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠖⠄"}}},{"category":"Lu","key":"0158","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠦⠄"}}},{"category":"Lu","key":"015A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠁⠄"}}},{"category":"Lu","key":"015C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠉⠄"}}},{"category":"Lu","key":"015E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠑⠄"}}},{"category":"Lu","key":"0160","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠴⠄"}}},{"category":"Lu","key":"0162","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠆⠄"}}},{"category":"Lu","key":"0164","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠲⠄"}}},{"category":"Lu","key":"0168","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠦⠄"}}},{"category":"Lu","key":"016A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠁⠄"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠉⠄"}}},{"category":"Lu","key":"016E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠑⠄"}}},{"category":"Lu","key":"0170","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠴⠄"}}},{"category":"Lu","key":"0172","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠆⠄"}}},{"category":"Lu","key":"0174","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠲⠄"}}},{"category":"Lu","key":"0176","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠖⠄"}}},{"category":"Lu","key":"0178","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠦⠄"}}},{"category":"Lu","key":"0179","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠔⠄"}}},{"category":"Lu","key":"017B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠃⠄"}}},{"category":"Lu","key":"017D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠙⠄"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠙⠄"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠋⠄"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠂⠄"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠒⠄"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠖⠄"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠦⠄"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠁⠄"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠲⠄"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠦⠄"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠴⠄"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠆⠄"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠲⠄"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠖⠄"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠦⠄"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠁⠄"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠉⠄"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠑⠄"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠴⠄"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠆⠄"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠲⠄"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠖⠄"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠦⠄"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠁⠄"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠑⠄"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠖⠄"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠦⠄"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠑⠄"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠆⠄"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠴⠄"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠆⠄"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠲⠄"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠖⠄"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠁⠄"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠉⠄"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠑⠄"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠴⠄"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠆⠄"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠦⠄"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠁⠄"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠑⠄"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠴⠄"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠆⠄"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠲⠄"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠖⠄"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠦⠄"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠁⠄"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠉⠄"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠴⠄"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠆⠄"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠲⠄"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠖⠄"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠁⠄"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠉⠄"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠑⠄"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠴⠄"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠆⠄"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠲⠄"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠖⠄"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠦⠄"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠁⠄"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠲⠄"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠖⠄"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠦⠄"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠁⠄"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠑⠄"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠴⠄"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠆⠄"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠁⠄"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠉⠄"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠑⠄"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠴⠄"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠆⠄"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠲⠄"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠖⠄"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠉⠄"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠑⠄"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠴⠄"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠆⠄"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠲⠄"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠖⠄"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠦⠄"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠁⠄"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠉⠄"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠑⠄"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠴⠄"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠆⠄"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠲⠄"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠴⠄"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠆⠄"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠦⠄"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠁⠄"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠉⠄"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠦⠄"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠁⠄"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠉⠄"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠑⠄"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠲⠄"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠖⠄"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠆⠄"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠲⠄"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠖⠄"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠦⠄"}}}]
+,
+"nemeth/symbols/math_angles.js": 
+[{"locale":"nemeth"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠑⠄"}},"key":"22BE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠶⠉⠄"}},"key":"237C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠴⠄"}},"key":"27C0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠃⠄"}},"key":"299B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠉⠄"}},"key":"299C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠙⠄"}},"key":"299D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠑⠄"}},"key":"299E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠋⠄"}},"key":"299F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠴⠄"}},"key":"29A0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠂⠄"}},"key":"29A1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠆⠄"}},"key":"29A2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠒⠄"}},"key":"29A3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠲⠄"}},"key":"29A4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠢⠄"}},"key":"29A5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠖⠄"}},"key":"29A6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠶⠄"}},"key":"29A7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠦⠄"}},"key":"29A8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠔⠄"}},"key":"29A9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠁⠄"}},"key":"29AA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠃⠄"}},"key":"29AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠉⠄"}},"key":"29AC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠙⠄"}},"key":"29AD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠑⠄"}},"key":"29AE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠋⠄"}},"key":"29AF"}]
+,
+"nemeth/symbols/math_arrows.js": 
+[{"locale":"nemeth"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠀"}},"key":"2190"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠀"}},"key":"2191"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠕⠀"}},"key":"2192"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠀"}},"key":"2193"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠕⠀"}},"key":"2194"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠩⠪⠒⠒⠕⠀"}},"key":"2195"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠪⠒⠒⠀"}},"key":"2196"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠒⠒⠕⠀"}},"key":"2197"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠒⠒⠕⠀"}},"key":"2198"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠪⠒⠒⠀"}},"key":"2199"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠻⠀"}},"key":"219A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠒⠒⠕⠻⠀"}},"key":"219B"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠔⠒⠢⠀"}},"key":"219C"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠔⠒⠢⠕⠀"}},"key":"219D"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠪⠒⠒⠀"}},"key":"219E"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠕⠀"}},"key":"219F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠕⠀"}},"key":"21A0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠕⠀"}},"key":"21A1"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠠⠽⠀"}},"key":"21A2"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠠⠯⠒⠒⠕⠀"}},"key":"21A3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠳⠀"}},"key":"21A4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠳⠒⠒⠕⠀"}},"key":"21A5"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠳⠒⠒⠕⠀"}},"key":"21A6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠳⠒⠒⠕⠀"}},"key":"21A7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠳⠒⠕⠀"}},"key":"21A8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠠⠕⠀"}},"key":"21A9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠠⠪⠒⠒⠕⠀"}},"key":"21AA"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠨⠡⠀"}},"key":"21AB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠨⠡⠒⠒⠕⠀"}},"key":"21AC"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠔⠒⠢⠕⠀"}},"key":"21AD"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠕⠀"}},"key":"21AE"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠔⠢⠔⠀"}},"key":"21AF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠴⠄"}},"key":"21B0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠂⠄"}},"key":"21B1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠆⠄"}},"key":"21B2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠒⠄"}},"key":"21B3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠠⠳⠒⠒⠕⠀"}},"key":"21B4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠠⠳⠒⠒⠕⠀"}},"key":"21B5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠢⠔⠀⠕⠀"}},"key":"21B6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠢⠀⠔⠀"}},"key":"21B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠦⠄"}},"key":"21B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠔⠄"}},"key":"21B9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠢⠔⠕⠀"}},"key":"21BA"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠢⠔⠀"}},"key":"21BB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠫⠪⠒⠒⠀"}},"key":"21C4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠐⠫⠩⠒⠒⠕⠀"}},"key":"21C5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠫⠒⠒⠕⠀"}},"key":"21C6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠚⠒⠒⠫⠚⠒⠒⠀"}},"key":"21C7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠐⠫⠣⠒⠒⠕⠀"}},"key":"21C8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠫⠒⠒⠕⠀"}},"key":"21C9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠐⠫⠩⠒⠒⠕⠀"}},"key":"21CA"},{"category":"So","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠪⠒⠒⠀"}},"key":"21CD"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠪⠒⠒⠕⠕⠀"}},"key":"21CE"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠒⠒⠕⠕⠀"}},"key":"21CF"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠪⠒⠒⠀"}},"key":"21D0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠕⠀"}},"key":"21D1"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠕⠀"}},"key":"21D2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠕⠀"}},"key":"21D3"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠪⠪⠒⠒⠕⠕⠀"}},"key":"21D4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠪⠪⠒⠒⠕⠕⠀"}},"key":"21D5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠪⠪⠒⠒⠀"}},"key":"21D6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠒⠒⠕⠕⠀"}},"key":"21D7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠒⠒⠕⠕⠀"}},"key":"21D8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠪⠪⠒⠒⠀"}},"key":"21D9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠪⠪⠒⠒⠀"}},"key":"21DA"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠕⠕⠀"}},"key":"21DB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠢⠤⠔⠒⠢⠀"}},"key":"21DC"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠢⠤⠔⠒⠢⠕⠀"}},"key":"21DD"},{"category":"So","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠣⠒⠒⠕⠻⠀"}},"key":"21DE"},{"category":"So","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠩⠒⠒⠕⠻⠀"}},"key":"21DF"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠀⠒⠀"}},"key":"21E0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠀⠒⠕⠀"}},"key":"21E1"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠀⠒⠕⠀"}},"key":"21E2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠀⠒⠕⠀"}},"key":"21E3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠳⠪⠒⠒⠀"}},"key":"21E4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠳⠀"}},"key":"21E5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠸⠪⠒⠒⠀"}},"key":"21E6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠸⠒⠒⠕⠀"}},"key":"21E7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠸⠒⠒⠕⠀"}},"key":"21E8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠸⠒⠒⠕⠀"}},"key":"21E9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠁⠄"}},"key":"21EA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠃⠄"}},"key":"21EB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠉⠄"}},"key":"21EC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠙⠄"}},"key":"21ED"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠑⠄"}},"key":"21EE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠋⠄"}},"key":"21EF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠋⠴⠄"}},"key":"21F0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠋⠂⠄"}},"key":"21F1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠋⠆⠄"}},"key":"21F2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠸⠪⠒⠒⠕⠀"}},"key":"21F3"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠨⠡⠀"}},"key":"21F4"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠐⠫⠣⠒⠒⠕⠀"}},"key":"21F5"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠫⠒⠒⠕⠫⠒⠒⠕⠀"}},"key":"21F6"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠻⠀"}},"key":"21F7"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠒⠒⠕⠻⠀"}},"key":"21F8"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠕⠀"}},"key":"21F9"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠪⠒⠒⠻⠀"}},"key":"21FA"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠒⠒⠕⠻⠀"}},"key":"21FB"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠪⠒⠒⠕⠀"}},"key":"21FC"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠳⠒⠒⠀"}},"key":"21FD"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠳⠀"}},"key":"21FE"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠳⠒⠒⠳⠀"}},"key":"21FF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠂⠄"}},"key":"2301"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠒⠄"}},"key":"2303"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠲⠄"}},"key":"2304"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠆⠲⠄"}},"key":"2324"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠦⠃⠄"}},"key":"238B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠲⠄"}},"key":"2794"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠦⠄"}},"key":"2798"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠔⠄"}},"key":"2799"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠁⠄"}},"key":"279A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠃⠄"}},"key":"279B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠉⠄"}},"key":"279C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠙⠄"}},"key":"279D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠑⠄"}},"key":"279E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠋⠄"}},"key":"279F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠴⠄"}},"key":"27A0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠂⠄"}},"key":"27A1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠆⠄"}},"key":"27A2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠒⠄"}},"key":"27A3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠲⠄"}},"key":"27A4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠢⠄"}},"key":"27A5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠖⠄"}},"key":"27A6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠶⠄"}},"key":"27A7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠦⠄"}},"key":"27A8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠔⠄"}},"key":"27A9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠁⠄"}},"key":"27AA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠃⠄"}},"key":"27AB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠉⠄"}},"key":"27AC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠙⠄"}},"key":"27AD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠑⠄"}},"key":"27AE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠋⠄"}},"key":"27AF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠂⠄"}},"key":"27B1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠆⠄"}},"key":"27B2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠒⠄"}},"key":"27B3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠲⠄"}},"key":"27B4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠢⠄"}},"key":"27B5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠖⠄"}},"key":"27B6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠶⠄"}},"key":"27B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠦⠄"}},"key":"27B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠔⠄"}},"key":"27B9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠁⠄"}},"key":"27BA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠃⠄"}},"key":"27BB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠉⠄"}},"key":"27BC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠙⠄"}},"key":"27BD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠑⠄"}},"key":"27BE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠴⠄"}},"key":"27F0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠂⠄"}},"key":"27F1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠆⠄"}},"key":"27F2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠒⠄"}},"key":"27F3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠲⠄"}},"key":"27F4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠢⠄"}},"key":"27F5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠖⠄"}},"key":"27F6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠶⠄"}},"key":"27F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠦⠄"}},"key":"27F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠔⠄"}},"key":"27F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠁⠄"}},"key":"27FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠃⠄"}},"key":"27FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠉⠄"}},"key":"27FC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠙⠄"}},"key":"27FD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠑⠄"}},"key":"27FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠋⠄"}},"key":"27FF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠴⠄"}},"key":"2900"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠂⠄"}},"key":"2901"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠆⠄"}},"key":"2902"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠒⠄"}},"key":"2903"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠲⠄"}},"key":"2904"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠢⠄"}},"key":"2905"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠖⠄"}},"key":"2906"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠶⠄"}},"key":"2907"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠦⠄"}},"key":"2908"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠔⠄"}},"key":"2909"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠁⠄"}},"key":"290A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠃⠄"}},"key":"290B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠉⠄"}},"key":"290C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠙⠄"}},"key":"290D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠑⠄"}},"key":"290E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠋⠄"}},"key":"290F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠴⠄"}},"key":"2910"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠂⠄"}},"key":"2911"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠆⠄"}},"key":"2912"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠒⠄"}},"key":"2913"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠲⠄"}},"key":"2914"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠢⠄"}},"key":"2915"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠖⠄"}},"key":"2916"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠶⠄"}},"key":"2917"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠦⠄"}},"key":"2918"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠔⠄"}},"key":"2919"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠁⠄"}},"key":"291A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠃⠄"}},"key":"291B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠉⠄"}},"key":"291C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠙⠄"}},"key":"291D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠑⠄"}},"key":"291E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠋⠄"}},"key":"291F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠴⠄"}},"key":"2920"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠂⠄"}},"key":"2921"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠆⠄"}},"key":"2922"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠒⠄"}},"key":"2923"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠲⠄"}},"key":"2924"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠢⠄"}},"key":"2925"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠖⠄"}},"key":"2926"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠶⠄"}},"key":"2927"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠦⠄"}},"key":"2928"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠔⠄"}},"key":"2929"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠁⠄"}},"key":"292A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠙⠄"}},"key":"292D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠑⠄"}},"key":"292E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠋⠄"}},"key":"292F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠴⠄"}},"key":"2930"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠂⠄"}},"key":"2931"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠆⠄"}},"key":"2932"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠒⠄"}},"key":"2933"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠲⠄"}},"key":"2934"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠢⠄"}},"key":"2935"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠖⠄"}},"key":"2936"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠶⠄"}},"key":"2937"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠦⠄"}},"key":"2938"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠔⠄"}},"key":"2939"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠁⠄"}},"key":"293A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠃⠄"}},"key":"293B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠉⠄"}},"key":"293C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠙⠄"}},"key":"293D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠑⠄"}},"key":"293E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠋⠄"}},"key":"293F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠴⠄"}},"key":"2940"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠂⠄"}},"key":"2941"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠆⠄"}},"key":"2942"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠒⠄"}},"key":"2943"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠲⠄"}},"key":"2944"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠢⠄"}},"key":"2945"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠖⠄"}},"key":"2946"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠶⠄"}},"key":"2947"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠦⠄"}},"key":"2948"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠔⠄"}},"key":"2949"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠴⠄"}},"key":"2970"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠂⠄"}},"key":"2971"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠆⠄"}},"key":"2972"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠒⠄"}},"key":"2973"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠲⠄"}},"key":"2974"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠢⠄"}},"key":"2975"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠖⠄"}},"key":"2976"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠶⠄"}},"key":"2977"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠦⠄"}},"key":"2978"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠔⠄"}},"key":"2979"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠁⠄"}},"key":"297A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠃⠄"}},"key":"297B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠒⠄"}},"key":"29B3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠲⠄"}},"key":"29B4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠙⠄"}},"key":"29BD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠁⠄"}},"key":"29EA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠉⠄"}},"key":"29EC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠙⠄"}},"key":"29ED"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠶⠄"}},"key":"2A17"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠴⠄"}},"key":"2B00"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠂⠄"}},"key":"2B01"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠆⠄"}},"key":"2B02"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠒⠄"}},"key":"2B03"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠲⠄"}},"key":"2B04"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠢⠄"}},"key":"2B05"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠖⠄"}},"key":"2B06"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠶⠄"}},"key":"2B07"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠦⠄"}},"key":"2B08"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠔⠄"}},"key":"2B09"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠁⠄"}},"key":"2B0A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠃⠄"}},"key":"2B0B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠉⠄"}},"key":"2B0C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠙⠄"}},"key":"2B0D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠑⠄"}},"key":"2B0E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠋⠄"}},"key":"2B0F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠴⠄"}},"key":"2B10"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠂⠄"}},"key":"2B11"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠴⠄"}},"key":"2B30"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠂⠄"}},"key":"2B31"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠆⠄"}},"key":"2B32"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠒⠄"}},"key":"2B33"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠲⠄"}},"key":"2B34"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠢⠄"}},"key":"2B35"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠖⠄"}},"key":"2B36"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠶⠄"}},"key":"2B37"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠦⠄"}},"key":"2B38"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠔⠄"}},"key":"2B39"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠁⠄"}},"key":"2B3A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠃⠄"}},"key":"2B3B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠉⠄"}},"key":"2B3C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠙⠄"}},"key":"2B3D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠑⠄"}},"key":"2B3E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠋⠄"}},"key":"2B3F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠴⠄"}},"key":"2B40"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠂⠄"}},"key":"2B41"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠆⠄"}},"key":"2B42"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠒⠄"}},"key":"2B43"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠲⠄"}},"key":"2B44"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠢⠄"}},"key":"2B45"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠖⠄"}},"key":"2B46"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠶⠄"}},"key":"2B47"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠦⠄"}},"key":"2B48"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠔⠄"}},"key":"2B49"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠁⠄"}},"key":"2B4A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠃⠄"}},"key":"2B4B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠉⠄"}},"key":"2B4C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠔⠄"}},"key":"FFE9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠁⠄"}},"key":"FFEA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠃⠄"}},"key":"FFEB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠉⠄"}},"key":"FFEC"}]
+,
+"nemeth/symbols/math_characters.js": 
+[{"locale":"nemeth"},{"category":"Ll","mappings":{"default":{"default":"⠈⠇"}},"key":"2113"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠦⠄"}},"key":"2118"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠉⠄"}},"key":"213C"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠙⠄"}},"key":"213D"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠑⠄"}},"key":"213E"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠋⠄"}},"key":"213F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠴⠄"}},"key":"2140"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠢⠄"}},"key":"2145"},{"category":"Ll","mappings":{"default":{"default":"⠙"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"⠑"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠦⠄"}},"key":"2148"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠔⠄"}},"key":"2149"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠖⠁⠲⠄"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠖⠁⠢⠄"}},"key":"1D6A5"}]
+,
+"nemeth/symbols/math_delimiters.js": 
+[{"locale":"nemeth"},{"category":"Ps","mappings":{"default":{"default":"⠷"}},"key":"0028"},{"category":"Pe","mappings":{"default":{"default":"⠾"}},"key":"0029"},{"category":"Ps","mappings":{"default":{"default":"⠈⠷"}},"key":"005B"},{"category":"Pe","mappings":{"default":{"default":"⠈⠾"}},"key":"005D"},{"category":"Ps","mappings":{"default":{"default":"⠨⠷"}},"key":"007B"},{"category":"Pe","mappings":{"default":{"default":"⠨⠾"}},"key":"007D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠢⠄"}},"key":"2045"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠖⠄"}},"key":"2046"},{"category":"Sm","mappings":{"default":{"default":"⠈⠘⠷"}},"key":"2308"},{"category":"Sm","mappings":{"default":{"default":"⠈⠘⠾"}},"key":"2309"},{"category":"Sm","mappings":{"default":{"default":"⠈⠰⠷"}},"key":"230A"},{"category":"Sm","mappings":{"default":{"default":"⠈⠰⠾"}},"key":"230B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠉⠄"}},"key":"230C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠙⠄"}},"key":"230D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠑⠄"}},"key":"230E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠋⠄"}},"key":"230F"},{"category":"So","mappings":{"default":{"default":"⠈⠘⠷"}},"key":"231C"},{"category":"So","mappings":{"default":{"default":"⠈⠘⠾"}},"key":"231D"},{"category":"So","mappings":{"default":{"default":"⠈⠰⠷"}},"key":"231E"},{"category":"So","mappings":{"default":{"default":"⠈⠰⠾"}},"key":"231F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠆⠴⠄"}},"key":"2320"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠆⠂⠄"}},"key":"2321"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠷"}},"key":"2329"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠾"}},"key":"232A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠃⠄"}},"key":"239B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠉⠄"}},"key":"239C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠙⠄"}},"key":"239D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠑⠄"}},"key":"239E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠋⠄"}},"key":"239F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠴⠄"}},"key":"23A0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠂⠄"}},"key":"23A1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠆⠄"}},"key":"23A2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠒⠄"}},"key":"23A3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠲⠄"}},"key":"23A4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠢⠄"}},"key":"23A5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠖⠄"}},"key":"23A6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠶⠄"}},"key":"23A7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠦⠄"}},"key":"23A8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠔⠄"}},"key":"23A9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠁⠄"}},"key":"23AA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠃⠄"}},"key":"23AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠉⠄"}},"key":"23AC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠙⠄"}},"key":"23AD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠑⠄"}},"key":"23AE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠋⠄"}},"key":"23AF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠴⠄"}},"key":"23B0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠂⠄"}},"key":"23B1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠆⠄"}},"key":"23B2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠒⠄"}},"key":"23B3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠲⠄"}},"key":"23B4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠢⠄"}},"key":"23B5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠖⠄"}},"key":"23B6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠶⠄"}},"key":"23B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠦⠄"}},"key":"23B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠔⠄"}},"key":"23B9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠙⠉⠄"}},"key":"23DC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠙⠙⠄"}},"key":"23DD"},{"category":"Sm","mappings":{"default":{"default":"⠣⠨⠷"}},"key":"23DE"},{"category":"Sm","mappings":{"default":{"default":"⠣⠨⠾"}},"key":"23DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠑⠴⠄"}},"key":"23E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠑⠂⠄"}},"key":"23E1"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠦⠄"}},"key":"2768"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠔⠄"}},"key":"2769"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠁⠄"}},"key":"276A"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠃⠄"}},"key":"276B"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠉⠄"}},"key":"276C"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠙⠄"}},"key":"276D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠑⠄"}},"key":"276E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠋⠄"}},"key":"276F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠴⠄"}},"key":"2770"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠂⠄"}},"key":"2771"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠆⠄"}},"key":"2772"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠒⠄"}},"key":"2773"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠲⠄"}},"key":"2774"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠢⠄"}},"key":"2775"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠢⠄"}},"key":"27C5"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠖⠄"}},"key":"27C6"},{"category":"Ps","mappings":{"default":{"default":"⠈⠸⠷"}},"key":"27E6"},{"category":"Pe","mappings":{"default":{"default":"⠈⠸⠾"}},"key":"27E7"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠷"}},"key":"27E8"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠾"}},"key":"27E9"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠨⠷"}},"key":"27EA"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠨⠾"}},"key":"27EB"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠉⠄"}},"key":"27EC"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠙⠄"}},"key":"27ED"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠑⠄"}},"key":"27EE"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠋⠄"}},"key":"27EF"},{"category":"Ps","mappings":{"default":{"default":"⠨⠸⠷"}},"key":"2983"},{"category":"Pe","mappings":{"default":{"default":"⠨⠸⠾"}},"key":"2984"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠢⠄"}},"key":"2985"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠖⠄"}},"key":"2986"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠶⠄"}},"key":"2987"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠦⠄"}},"key":"2988"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠔⠄"}},"key":"2989"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠁⠄"}},"key":"298A"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠃⠄"}},"key":"298B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠉⠄"}},"key":"298C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠙⠄"}},"key":"298D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠑⠄"}},"key":"298E"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠋⠄"}},"key":"298F"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠴⠄"}},"key":"2990"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠂⠄"}},"key":"2991"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠆⠄"}},"key":"2992"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠒⠄"}},"key":"2993"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠲⠄"}},"key":"2994"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠢⠄"}},"key":"2995"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠖⠄"}},"key":"2996"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠶⠄"}},"key":"2997"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠦⠄"}},"key":"2998"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠦⠄"}},"key":"29D8"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠔⠄"}},"key":"29D9"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠁⠄"}},"key":"29DA"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠃⠄"}},"key":"29DB"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠉⠄"}},"key":"29FC"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠙⠄"}},"key":"29FD"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠆⠄"}},"key":"2E22"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠒⠄"}},"key":"2E23"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠲⠄"}},"key":"2E24"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠢⠄"}},"key":"2E25"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠖⠄"}},"key":"2E26"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠶⠄"}},"key":"2E27"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠦⠄"}},"key":"2E28"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠔⠄"}},"key":"2E29"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠷"}},"key":"3008"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠾"}},"key":"3009"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠨⠷"}},"key":"300A"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠨⠾"}},"key":"300B"},{"category":"Ps","mappings":{"default":{"default":"⠈⠘⠷"}},"key":"300C"},{"category":"Pe","mappings":{"default":{"default":"⠈⠘⠾"}},"key":"300D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠴⠑⠄"}},"key":"300E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠴⠋⠄"}},"key":"300F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠴⠄"}},"key":"3010"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠂⠄"}},"key":"3011"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠲⠄"}},"key":"3014"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠢⠄"}},"key":"3015"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠖⠄"}},"key":"3016"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠶⠄"}},"key":"3017"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠦⠄"}},"key":"3018"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠔⠄"}},"key":"3019"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠁⠄"}},"key":"301A"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠃⠄"}},"key":"301B"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠙⠄"}},"key":"301D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠑⠄"}},"key":"301E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠋⠄"}},"key":"301F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠙⠒⠑⠄"}},"key":"FD3E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠙⠒⠋⠄"}},"key":"FD3F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠶⠄"}},"key":"FE17"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠦⠄"}},"key":"FE18"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠢⠄"}},"key":"FE35"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠖⠄"}},"key":"FE36"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠶⠄"}},"key":"FE37"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠦⠄"}},"key":"FE38"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠔⠄"}},"key":"FE39"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠁⠄"}},"key":"FE3A"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠃⠄"}},"key":"FE3B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠉⠄"}},"key":"FE3C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠙⠄"}},"key":"FE3D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠑⠄"}},"key":"FE3E"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠋⠄"}},"key":"FE3F"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠴⠄"}},"key":"FE40"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠂⠄"}},"key":"FE41"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠆⠄"}},"key":"FE42"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠒⠄"}},"key":"FE43"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠲⠄"}},"key":"FE44"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠶⠄"}},"key":"FE47"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠦⠄"}},"key":"FE48"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠔⠄"}},"key":"FE59"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠁⠄"}},"key":"FE5A"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠃⠄"}},"key":"FE5B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠉⠄"}},"key":"FE5C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠙⠄"}},"key":"FE5D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠑⠄"}},"key":"FE5E"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠦⠄"}},"key":"FF08"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠔⠄"}},"key":"FF09"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠃⠄"}},"key":"FF3B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠙⠄"}},"key":"FF3D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠃⠄"}},"key":"FF5B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠙⠄"}},"key":"FF5D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠋⠄"}},"key":"FF5F"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠖⠴⠄"}},"key":"FF60"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠖⠆⠄"}},"key":"FF62"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠖⠒⠄"}},"key":"FF63"}]
+,
+"nemeth/symbols/math_geometry.js": 
+[{"locale":"nemeth"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠴⠄"}},"key":"2500"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠂⠄"}},"key":"2501"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠆⠄"}},"key":"2502"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠒⠄"}},"key":"2503"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠲⠄"}},"key":"2504"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠢⠄"}},"key":"2505"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠖⠄"}},"key":"2506"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠶⠄"}},"key":"2507"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠦⠄"}},"key":"2508"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠔⠄"}},"key":"2509"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠁⠄"}},"key":"250A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠃⠄"}},"key":"250B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠉⠄"}},"key":"250C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠙⠄"}},"key":"250D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠑⠄"}},"key":"250E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠋⠄"}},"key":"250F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠴⠄"}},"key":"2510"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠂⠄"}},"key":"2511"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠆⠄"}},"key":"2512"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠒⠄"}},"key":"2513"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠲⠄"}},"key":"2514"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠢⠄"}},"key":"2515"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠖⠄"}},"key":"2516"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠶⠄"}},"key":"2517"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠦⠄"}},"key":"2518"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠔⠄"}},"key":"2519"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠁⠄"}},"key":"251A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠃⠄"}},"key":"251B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠉⠄"}},"key":"251C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠙⠄"}},"key":"251D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠑⠄"}},"key":"251E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠋⠄"}},"key":"251F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠴⠄"}},"key":"2520"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠂⠄"}},"key":"2521"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠆⠄"}},"key":"2522"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠒⠄"}},"key":"2523"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠲⠄"}},"key":"2524"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠢⠄"}},"key":"2525"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠖⠄"}},"key":"2526"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠶⠄"}},"key":"2527"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠦⠄"}},"key":"2528"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠔⠄"}},"key":"2529"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠁⠄"}},"key":"252A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠃⠄"}},"key":"252B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠉⠄"}},"key":"252C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠙⠄"}},"key":"252D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠑⠄"}},"key":"252E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠋⠄"}},"key":"252F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠴⠄"}},"key":"2530"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠂⠄"}},"key":"2531"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠆⠄"}},"key":"2532"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠒⠄"}},"key":"2533"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠲⠄"}},"key":"2534"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠢⠄"}},"key":"2535"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠖⠄"}},"key":"2536"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠶⠄"}},"key":"2537"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠦⠄"}},"key":"2538"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠔⠄"}},"key":"2539"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠁⠄"}},"key":"253A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠃⠄"}},"key":"253B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠉⠄"}},"key":"253C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠙⠄"}},"key":"253D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠑⠄"}},"key":"253E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠋⠄"}},"key":"253F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠴⠄"}},"key":"2540"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠂⠄"}},"key":"2541"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠆⠄"}},"key":"2542"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠒⠄"}},"key":"2543"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠲⠄"}},"key":"2544"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠢⠄"}},"key":"2545"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠖⠄"}},"key":"2546"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠶⠄"}},"key":"2547"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠦⠄"}},"key":"2548"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠔⠄"}},"key":"2549"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠁⠄"}},"key":"254A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠃⠄"}},"key":"254B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠉⠄"}},"key":"254C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠙⠄"}},"key":"254D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠑⠄"}},"key":"254E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠋⠄"}},"key":"254F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠴⠄"}},"key":"2550"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠂⠄"}},"key":"2551"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠆⠄"}},"key":"2552"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠒⠄"}},"key":"2553"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠲⠄"}},"key":"2554"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠢⠄"}},"key":"2555"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠖⠄"}},"key":"2556"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠶⠄"}},"key":"2557"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠦⠄"}},"key":"2558"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠔⠄"}},"key":"2559"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠁⠄"}},"key":"255A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠃⠄"}},"key":"255B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠉⠄"}},"key":"255C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠙⠄"}},"key":"255D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠑⠄"}},"key":"255E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠋⠄"}},"key":"255F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠴⠄"}},"key":"2560"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠂⠄"}},"key":"2561"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠆⠄"}},"key":"2562"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠒⠄"}},"key":"2563"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠲⠄"}},"key":"2564"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠢⠄"}},"key":"2565"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠖⠄"}},"key":"2566"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠶⠄"}},"key":"2567"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠦⠄"}},"key":"2568"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠔⠄"}},"key":"2569"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠁⠄"}},"key":"256A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠃⠄"}},"key":"256B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠉⠄"}},"key":"256C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠙⠄"}},"key":"256D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠑⠄"}},"key":"256E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠋⠄"}},"key":"256F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠴⠄"}},"key":"2570"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠂⠄"}},"key":"2571"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠆⠄"}},"key":"2572"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠒⠄"}},"key":"2573"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠲⠄"}},"key":"2574"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠢⠄"}},"key":"2575"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠖⠄"}},"key":"2576"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠶⠄"}},"key":"2577"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠦⠄"}},"key":"2578"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠔⠄"}},"key":"2579"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠁⠄"}},"key":"257A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠃⠄"}},"key":"257B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠉⠄"}},"key":"257C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠙⠄"}},"key":"257D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠑⠄"}},"key":"257E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠋⠄"}},"key":"257F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠴⠄"}},"key":"2580"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠂⠄"}},"key":"2581"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠆⠄"}},"key":"2582"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠒⠄"}},"key":"2583"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠲⠄"}},"key":"2584"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠢⠄"}},"key":"2585"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠖⠄"}},"key":"2586"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠶⠄"}},"key":"2587"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠦⠄"}},"key":"2588"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠔⠄"}},"key":"2589"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠁⠄"}},"key":"258A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠃⠄"}},"key":"258B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠉⠄"}},"key":"258C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠙⠄"}},"key":"258D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠑⠄"}},"key":"258E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠋⠄"}},"key":"258F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠴⠄"}},"key":"2590"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠂⠄"}},"key":"2591"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠆⠄"}},"key":"2592"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠒⠄"}},"key":"2593"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠲⠄"}},"key":"2594"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠢⠄"}},"key":"2595"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠖⠄"}},"key":"2596"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠶⠄"}},"key":"2597"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠦⠄"}},"key":"2598"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠔⠄"}},"key":"2599"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠁⠄"}},"key":"259A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠃⠄"}},"key":"259B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠉⠄"}},"key":"259C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠙⠄"}},"key":"259D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠑⠄"}},"key":"259E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠋⠄"}},"key":"259F"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠲"}},"key":"25A0"},{"category":"So","mappings":{"default":{"default":"⠫⠲"}},"key":"25A1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠆⠄"}},"key":"25A2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠒⠄"}},"key":"25A3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠲⠄"}},"key":"25A4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠢⠄"}},"key":"25A5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠖⠄"}},"key":"25A6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠶⠄"}},"key":"25A7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠦⠄"}},"key":"25A8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠔⠄"}},"key":"25A9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠁⠄"}},"key":"25AA"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠗"}},"key":"25AB"},{"category":"So","mappings":{"default":{"default":"⠫⠗"}},"key":"25AC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠙⠄"}},"key":"25AD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠑⠄"}},"key":"25AE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠋⠄"}},"key":"25AF"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠛"}},"key":"25B0"},{"category":"So","mappings":{"default":{"default":"⠫⠛"}},"key":"25B1"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠞"}},"key":"25B2"},{"category":"So","mappings":{"default":{"default":"⠫⠞"}},"key":"25B3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠲⠄"}},"key":"25B4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠢⠄"}},"key":"25B5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠖⠄"}},"key":"25B6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠶⠄"}},"key":"25B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠦⠄"}},"key":"25B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠔⠄"}},"key":"25B9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠁⠄"}},"key":"25BA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠃⠄"}},"key":"25BB"},{"category":"So","mappings":{"default":{"default":"⠸⠨⠫"}},"key":"25BC"},{"category":"So","mappings":{"default":{"default":"⠨⠫"}},"key":"25BD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠑⠄"}},"key":"25BE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠋⠄"}},"key":"25BF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠴⠄"}},"key":"25C0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠂⠄"}},"key":"25C1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠆⠄"}},"key":"25C2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠒⠄"}},"key":"25C3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠲⠄"}},"key":"25C4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠢⠄"}},"key":"25C5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠖⠄"}},"key":"25C6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠶⠄"}},"key":"25C7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠦⠄"}},"key":"25C8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠔⠄"}},"key":"25C9"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠉"}},"key":"25CA"},{"category":"So","mappings":{"default":{"default":"⠫⠉"}},"key":"25CB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠉⠄"}},"key":"25CC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠙⠄"}},"key":"25CD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠑⠄"}},"key":"25CE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠋⠄"}},"key":"25CF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠴⠄"}},"key":"25D0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠂⠄"}},"key":"25D1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠆⠄"}},"key":"25D2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠒⠄"}},"key":"25D3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠲⠄"}},"key":"25D4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠢⠄"}},"key":"25D5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠖⠄"}},"key":"25D6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠶⠄"}},"key":"25D7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠦⠄"}},"key":"25D8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠔⠄"}},"key":"25D9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠁⠄"}},"key":"25DA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠃⠄"}},"key":"25DB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠉⠄"}},"key":"25DC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠙⠄"}},"key":"25DD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠑⠄"}},"key":"25DE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠋⠄"}},"key":"25DF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠴⠄"}},"key":"25E0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠂⠄"}},"key":"25E1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠆⠄"}},"key":"25E2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠒⠄"}},"key":"25E3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠲⠄"}},"key":"25E4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠢⠄"}},"key":"25E5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠖⠄"}},"key":"25E6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠶⠄"}},"key":"25E7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠦⠄"}},"key":"25E8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠔⠄"}},"key":"25E9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠁⠄"}},"key":"25EA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠃⠄"}},"key":"25EB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠉⠄"}},"key":"25EC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠙⠄"}},"key":"25ED"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠑⠄"}},"key":"25EE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠋⠄"}},"key":"25EF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠴⠄"}},"key":"25F0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠂⠄"}},"key":"25F1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠆⠄"}},"key":"25F2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠒⠄"}},"key":"25F3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠲⠄"}},"key":"25F4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠢⠄"}},"key":"25F5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠖⠄"}},"key":"25F6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠶⠄"}},"key":"25F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠦⠄"}},"key":"25F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠔⠄"}},"key":"25F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠁⠄"}},"key":"25FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠃⠄"}},"key":"25FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠉⠄"}},"key":"25FC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠙⠄"}},"key":"25FD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠑⠄"}},"key":"25FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠋⠄"}},"key":"25FF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠆⠄"}},"key":"2B12"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠒⠄"}},"key":"2B13"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠲⠄"}},"key":"2B14"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠢⠄"}},"key":"2B15"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠖⠄"}},"key":"2B16"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠶⠄"}},"key":"2B17"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠦⠄"}},"key":"2B18"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠔⠄"}},"key":"2B19"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠁⠄"}},"key":"2B1A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠃⠄"}},"key":"2B1B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠉⠄"}},"key":"2B1C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠙⠄"}},"key":"2B1D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠑⠄"}},"key":"2B1E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠋⠄"}},"key":"2B1F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠴⠄"}},"key":"2B20"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠂⠄"}},"key":"2B21"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠆⠄"}},"key":"2B22"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠒⠄"}},"key":"2B23"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠲⠄"}},"key":"2B24"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠢⠄"}},"key":"2B25"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠖⠄"}},"key":"2B26"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠶⠄"}},"key":"2B27"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠦⠄"}},"key":"2B28"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠔⠄"}},"key":"2B29"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠁⠄"}},"key":"2B2A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠃⠄"}},"key":"2B2B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠉⠄"}},"key":"2B2C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠙⠄"}},"key":"2B2D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠑⠄"}},"key":"2B2E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠋⠄"}},"key":"2B2F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠴⠄"}},"key":"2B50"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠂⠄"}},"key":"2B51"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠆⠄"}},"key":"2B52"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠒⠄"}},"key":"2B53"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠲⠄"}},"key":"2B54"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠢⠄"}},"key":"2B55"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠖⠄"}},"key":"2B56"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠶⠄"}},"key":"2B57"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠦⠄"}},"key":"2B58"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠔⠄"}},"key":"2B59"}]
+,
+"nemeth/symbols/math_harpoons.js": 
+[{"locale":"nemeth"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠈⠪⠒⠒⠀"}},"key":"21BC"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠠⠪⠒⠒⠀"}},"key":"21BD"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠠⠕⠀"}},"key":"21BE"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠈⠕⠀"}},"key":"21BF"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠈⠕⠀"}},"key":"21C0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠠⠕⠀"}},"key":"21C1"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠈⠕⠀"}},"key":"21C2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠠⠕⠀"}},"key":"21C3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠈⠪⠒⠒⠫⠒⠒⠈⠕⠀"}},"key":"21CB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠈⠕⠫⠈⠪⠒⠒⠀"}},"key":"21CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠁⠄"}},"key":"294A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠃⠄"}},"key":"294B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠉⠄"}},"key":"294C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠙⠄"}},"key":"294D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠑⠄"}},"key":"294E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠋⠄"}},"key":"294F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠴⠄"}},"key":"2950"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠂⠄"}},"key":"2951"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠆⠄"}},"key":"2952"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠒⠄"}},"key":"2953"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠲⠄"}},"key":"2954"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠢⠄"}},"key":"2955"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠖⠄"}},"key":"2956"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠶⠄"}},"key":"2957"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠦⠄"}},"key":"2958"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠔⠄"}},"key":"2959"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠁⠄"}},"key":"295A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠃⠄"}},"key":"295B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠉⠄"}},"key":"295C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠙⠄"}},"key":"295D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠑⠄"}},"key":"295E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠋⠄"}},"key":"295F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠴⠄"}},"key":"2960"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠂⠄"}},"key":"2961"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠆⠄"}},"key":"2962"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠒⠄"}},"key":"2963"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠲⠄"}},"key":"2964"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠢⠄"}},"key":"2965"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠖⠄"}},"key":"2966"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠶⠄"}},"key":"2967"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠦⠄"}},"key":"2968"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠔⠄"}},"key":"2969"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠁⠄"}},"key":"296A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠃⠄"}},"key":"296B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠉⠄"}},"key":"296C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠙⠄"}},"key":"296D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠑⠄"}},"key":"296E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠋⠄"}},"key":"296F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠉⠄"}},"key":"297C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠙⠄"}},"key":"297D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠑⠄"}},"key":"297E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠋⠄"}},"key":"297F"}]
+,
+"nemeth/symbols/math_non_characters.js": 
+[{"locale":"nemeth"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠴⠋⠄"}},"key":"210F"},{"category":"So","mappings":{"default":{"default":"⠳"}},"key":"2114"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠖⠄"}},"key":"2116"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠶⠄"}},"key":"2117"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠑⠄"}},"key":"211E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠋⠄"}},"key":"211F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠴⠄"}},"key":"2120"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠂⠄"}},"key":"2121"},{"category":"So","mappings":{"default":{"default":"⠘⠞"}},"key":"2122"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠒⠄"}},"key":"2123"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠢⠄"}},"key":"2125"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠖⠄"}},"key":"2126"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠶⠄"}},"key":"2127"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠁⠄"}},"key":"212A"},{"category":"Lu","mappings":{"default":{"default":"⠀⠈⠠⠁"}},"key":"212B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠑⠄"}},"key":"212E"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠆⠄"}},"key":"2132"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠔⠄"}},"key":"2139"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠁⠄"}},"key":"213A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠃⠄"}},"key":"213B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠂⠄"}},"key":"2141"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠆⠄"}},"key":"2142"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠒⠄"}},"key":"2143"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠲⠄"}},"key":"2144"}]
+,
+"nemeth/symbols/math_symbols.js": 
+[{"locale":"nemeth"},{"category":"Po","mappings":{"default":{"default":"⠖"}},"key":"0021"},{"category":"Po","mappings":{"default":{"default":"⠹"}},"key":"0022"},{"category":"Po","mappings":{"default":{"default":"⠨⠼"}},"key":"0023"},{"category":"Sc","mappings":{"default":{"default":"⠈⠎"}},"key":"0024"},{"category":"Po","mappings":{"default":{"default":"⠈⠴"}},"key":"0025"},{"category":"Po","mappings":{"default":{"default":"⠸⠯"}},"key":"0026"},{"category":"Po","mappings":{"default":{"default":"⠄"}},"key":"0027"},{"category":"Po","mappings":{"default":{"default":"⠈⠼"}},"key":"002A"},{"category":"Sm","mappings":{"default":{"default":"⠬"}},"key":"002B"},{"category":"Po","mappings":{"default":{"default":"⠠","defaultLibLouis":"⠠⠀"}},"key":"002C"},{"category":"Pd","mappings":{"default":{"default":"⠤"}},"key":"002D"},{"category":"Po","mappings":{"default":{"default":"⠨","other":"⠲"}},"key":"002E"},{"category":"Po","mappings":{"default":{"default":"⠸⠌"}},"key":"002F"},{"category":"Po","mappings":{"default":{"default":"⠒"}},"key":"003A"},{"category":"Po","mappings":{"default":{"default":"⠆"}},"key":"003B"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠀"}},"key":"003C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠅⠀"}},"key":"003D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠀"}},"key":"003E"},{"category":"Po","mappings":{"default":{"default":"⠸⠦"}},"key":"003F"},{"category":"Po","mappings":{"default":{"default":"⠈⠁"}},"key":"0040"},{"category":"Po","mappings":{"default":{"default":"⠸⠡"}},"key":"005C"},{"category":"Sk","mappings":{"default":{"default":"⡘"}},"key":"005E"},{"category":"Pc","mappings":{"default":{"default":"⠸"}},"key":"005F"},{"category":"Sk","mappings":{"default":{"default":"⠈"}},"key":"0060"},{"category":"Sm","mappings":{"default":{"default":"⠳"}},"key":"007C"},{"category":"Sm","mappings":{"default":{"default":"⠈⠱"}},"key":"007E"},{"category":"Po","mappings":{"default":{"default":"⠖"}},"key":"00A1"},{"category":"Sc","mappings":{"default":{"default":"⠈⠉"}},"key":"00A2"},{"category":"Sc","mappings":{"default":{"default":"⠼"}},"key":"00A3"},{"category":"Sc","mappings":{"default":{"default":"⠫"}},"key":"00A4"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠢⠄"}},"key":"00A5"},{"category":"So","mappings":{"default":{"default":"⠸⠳"}},"key":"00A6"},{"category":"Po","mappings":{"default":{"default":"⠈⠠⠎"}},"key":"00A7"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠦⠄"}},"key":"00A8"},{"category":"So","mappings":{"default":{"default":"⠘⠉"}},"key":"00A9"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠁⠄"}},"key":"00AA"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠃⠄"}},"key":"00AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠉⠄"}},"key":"00AC"},{"category":"So","mappings":{"default":{"default":"⠘⠗"}},"key":"00AE"},{"category":"Sk","mappings":{"default":{"default":"⠱"}},"key":"00AF"},{"category":"So","mappings":{"default":{"default":"⠘⠨⠡"}},"key":"00B0"},{"category":"Sm","mappings":{"default":{"default":"⠬⠤"}},"key":"00B1"},{"category":"Sk","mappings":{"default":{"default":"⠈"}},"key":"00B4"},{"category":"Ll","mappings":{"default":{"default":"⠨⠍"}},"key":"00B5"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠖⠄"}},"key":"00B6"},{"category":"Po","mappings":{"default":{"default":"⠡"}},"key":"00B7"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠦⠄"}},"key":"00B8"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠁⠄"}},"key":"00BA"},{"category":"Pf","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠃⠄"}},"key":"00BB"},{"category":"Po","mappings":{"default":{"default":"⠦"}},"key":"00BF"},{"category":"Sm","mappings":{"default":{"default":"⠈⠡"}},"key":"00D7"},{"category":"Sm","mappings":{"default":{"default":"⠈⠌"}},"key":"00F7"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠦⠄"}},"key":"02D8"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠔⠄"}},"key":"02D9"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠁⠄"}},"key":"02DA"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠃⠄"}},"key":"02DB"},{"category":"Sk","mappings":{"default":{"default":"⠈⠱"}},"key":"02DC"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠙⠄"}},"key":"02DD"},{"category":"Pd","mappings":{"default":{"default":"⠤"}},"key":"2010"},{"category":"Pd","mappings":{"default":{"default":"⠤"}},"key":"2011"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2012"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2013"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2014"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2015"},{"category":"Po","mappings":{"default":{"default":"⠳⠳"}},"key":"2016"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠶⠄"}},"key":"2017"},{"category":"Pi","mappings":{"default":{"default":"⠠⠦"}},"key":"2018"},{"category":"Pf","mappings":{"default":{"default":"⠄"}},"key":"2019"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠁⠄"}},"key":"201A"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠃⠄"}},"key":"201B"},{"category":"Pi","mappings":{"default":{"default":"⠦"}},"key":"201C"},{"category":"Pf","mappings":{"default":{"default":"⠴"}},"key":"201D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠑⠄"}},"key":"201E"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠋⠄"}},"key":"201F"},{"category":"Po","mappings":{"default":{"default":"⠸⠻"}},"key":"2020"},{"category":"Po","mappings":{"default":{"default":"⠸⠸⠻"}},"key":"2021"},{"category":"Po","mappings":{"default":{"default":"⠔⠔"}},"key":"2022"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠒⠄"}},"key":"2023"},{"category":"Po","mappings":{"default":{"default":"⠄"}},"key":"2024"},{"category":"Po","mappings":{"default":{"default":"⠄⠄"}},"key":"2025"},{"category":"Po","mappings":{"default":{"default":"⠄⠄⠄"}},"key":"2026"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠶⠄"}},"key":"2027"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠴⠄"}},"key":"2030"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠂⠄"}},"key":"2031"},{"category":"Po","mappings":{"default":{"default":"⠄"}},"key":"2032"},{"category":"Po","mappings":{"default":{"default":"⠄⠄"}},"key":"2033"},{"category":"Po","mappings":{"default":{"default":"⠄⠄⠄"}},"key":"2034"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠢⠄"}},"key":"2035"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠖⠄"}},"key":"2036"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠶⠄"}},"key":"2037"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠦⠄"}},"key":"2038"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠔⠄"}},"key":"2039"},{"category":"Pf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠁⠄"}},"key":"203A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠃⠄"}},"key":"203B"},{"category":"Po","mappings":{"default":{"default":"⠖⠖"}},"key":"203C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠙⠄"}},"key":"203D"},{"category":"Po","mappings":{"default":{"default":"⠱"}},"key":"203E"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠋⠄"}},"key":"203F"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠴⠄"}},"key":"2040"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠂⠄"}},"key":"2041"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠆⠄"}},"key":"2042"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠒⠄"}},"key":"2043"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠲⠄"}},"key":"2044"},{"category":"Po","mappings":{"default":{"default":"⠹⠹"}},"key":"2047"},{"category":"Po","mappings":{"default":{"default":"⠹⠖"}},"key":"2048"},{"category":"Po","mappings":{"default":{"default":"⠖⠹"}},"key":"2049"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠃⠄"}},"key":"204B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠉⠄"}},"key":"204C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠙⠄"}},"key":"204D"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠑⠄"}},"key":"204E"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠋⠄"}},"key":"204F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠴⠄"}},"key":"2050"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠂⠄"}},"key":"2051"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠆⠄"}},"key":"2052"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠒⠄"}},"key":"2053"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠲⠄"}},"key":"2054"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠢⠄"}},"key":"2055"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠖⠄"}},"key":"2056"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠶⠄"}},"key":"2057"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠦⠄"}},"key":"2058"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠔⠄"}},"key":"2059"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠁⠄"}},"key":"205A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠃⠄"}},"key":"205B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠉⠄"}},"key":"205C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠙⠄"}},"key":"205D"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠑⠄"}},"key":"205E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠁⠄"}},"key":"207A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠃⠄"}},"key":"207B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠉⠄"}},"key":"207C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠙⠄"}},"key":"207D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠑⠄"}},"key":"207E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠁⠄"}},"key":"208A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠃⠄"}},"key":"208B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠉⠄"}},"key":"208C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠙⠄"}},"key":"208D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠑⠄"}},"key":"208E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠁⠄"}},"key":"214A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠃⠄"}},"key":"214B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠉⠄"}},"key":"214C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠙⠄"}},"key":"214D"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠑⠄"}},"key":"214E"},{"category":"Sm","mappings":{"default":{"default":"⠈⠯"}},"key":"2200"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠴⠂⠄"}},"key":"2201"},{"category":"Sm","mappings":{"default":{"default":"⠈⠿"}},"key":"2203"},{"category":"Sm","mappings":{"default":{"default":"⠌⠈⠿"}},"key":"2204"},{"category":"Sm","mappings":{"default":{"default":"⠸⠴"}},"key":"2205"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠴⠖⠄"}},"key":"2206"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠑⠀"}},"key":"2208"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠈⠑⠀"}},"key":"2209"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠑⠀"}},"key":"220A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠨⠁⠀"}},"key":"220B"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠨⠁⠀"}},"key":"220C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠢⠀"}},"key":"220D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠳⠀"}},"key":"220E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠴⠋⠄"}},"key":"220F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠴⠄"}},"key":"2210"},{"category":"Sm","mappings":{"default":{"default":"⠨⠠⠎"}},"key":"2211"},{"category":"Sm","mappings":{"default":{"default":"⠤"}},"key":"2212"},{"category":"Sm","mappings":{"default":{"default":"⠤⠬"}},"key":"2213"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠲⠄"}},"key":"2214"},{"category":"Sm","mappings":{"default":{"default":"⠸⠌"}},"key":"2215"},{"category":"Sm","mappings":{"default":{"default":"⠸⠡"}},"key":"2216"},{"category":"Sm","mappings":{"default":{"default":"⠈⠼"}},"key":"2217"},{"category":"Sm","mappings":{"default":{"default":"⠘⠨⠡"}},"key":"2218"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠔⠄"}},"key":"2219"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠁⠄"}},"key":"221A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠃⠄"}},"key":"221B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠉⠄"}},"key":"221C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠰⠆⠀"}},"key":"221D"},{"category":"Sm","mappings":{"default":{"default":"⠠⠿"}},"key":"221E"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪⠨⠗⠻"}},"key":"221F"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪"}},"key":"2220"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪⠸⠫⠫⠁⠻"}},"key":"2221"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪⠸⠫⠫⠁⠻"}},"key":"2222"},{"category":"Sm","mappings":{"default":{"default":"⠳"}},"key":"2223"},{"category":"Sm","mappings":{"default":{"default":"⠌⠳"}},"key":"2224"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠇⠀"}},"key":"2225"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠫⠇⠀"}},"key":"2226"},{"category":"Sm","mappings":{"default":{"default":"⠈⠩"}},"key":"2227"},{"category":"Sm","mappings":{"default":{"default":"⠈⠬"}},"key":"2228"},{"category":"Sm","mappings":{"default":{"default":"⠨⠩"}},"key":"2229"},{"category":"Sm","mappings":{"default":{"default":"⠨⠬"}},"key":"222A"},{"category":"Sm","mappings":{"default":{"default":"⠮"}},"key":"222B"},{"category":"Sm","mappings":{"default":{"default":"⠮⠮"}},"key":"222C"},{"category":"Sm","mappings":{"default":{"default":"⠮⠮⠮"}},"key":"222D"},{"category":"Sm","mappings":{"default":{"default":"⠮⠈⠫⠉⠻"}},"key":"222E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠆⠋⠄"}},"key":"222F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠴⠄"}},"key":"2230"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠂⠄"}},"key":"2231"},{"category":"Sm","mappings":{"default":{"default":"⠮⠈⠫⠪⠢⠔⠻"}},"key":"2232"},{"category":"Sm","mappings":{"default":{"default":"⠮⠈⠫⠢⠔⠕⠻"}},"key":"2233"},{"category":"Sm","mappings":{"default":{"default":"⠀⠠⠡⠀"}},"key":"2234"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠌⠀"}},"key":"2235"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠂⠀"}},"key":"2236"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠶⠄"}},"key":"2237"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠦⠄"}},"key":"2238"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠔⠄"}},"key":"2239"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠁⠄"}},"key":"223A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠃⠄"}},"key":"223B"},{"category":"Sm","mappings":{"default":{"default":"⠈⠱"}},"key":"223C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠙⠄"}},"key":"223D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠑⠄"}},"key":"223E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠋⠄"}},"key":"223F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠴⠄"}},"key":"2240"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠂⠄"}},"key":"2241"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠆⠄"}},"key":"2242"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠒⠄"}},"key":"2243"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠲⠄"}},"key":"2244"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠱⠈⠱⠀"}},"key":"2245"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠖⠄"}},"key":"2246"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠶⠄"}},"key":"2247"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠦⠄"}},"key":"2248"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠔⠄"}},"key":"2249"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠁⠄"}},"key":"224A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠃⠄"}},"key":"224B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠉⠄"}},"key":"224C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠣⠠⠣⠀"}},"key":"224D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠑⠄"}},"key":"224E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠋⠄"}},"key":"224F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠴⠄"}},"key":"2250"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠂⠄"}},"key":"2251"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠆⠄"}},"key":"2252"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠒⠄"}},"key":"2253"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠲⠄"}},"key":"2254"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠢⠄"}},"key":"2255"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠖⠄"}},"key":"2256"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠶⠄"}},"key":"2257"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠦⠄"}},"key":"2258"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠔⠄"}},"key":"2259"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠁⠄"}},"key":"225A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠃⠄"}},"key":"225B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠉⠄"}},"key":"225C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠙⠄"}},"key":"225D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠑⠄"}},"key":"225E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠋⠄"}},"key":"225F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠅⠀"}},"key":"2260"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠇⠀"}},"key":"2261"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠇⠀"}},"key":"2262"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠖⠒⠄"}},"key":"2263"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠱⠀"}},"key":"2264"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠱⠀"}},"key":"2265"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠨⠅⠀"}},"key":"2266"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠨⠅⠀"}},"key":"2267"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠌⠨⠅⠀"}},"key":"2268"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠌⠨⠅⠀"}},"key":"2269"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠈⠐⠅⠻⠀"}},"key":"226A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠈⠨⠂⠻⠀"}},"key":"226B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠖⠉⠄"}},"key":"226C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠈⠣⠠⠣⠀"}},"key":"226D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠀"}},"key":"226E"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠀"}},"key":"226F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠱⠀"}},"key":"2270"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠱⠀"}},"key":"2271"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠈⠱⠀"}},"key":"2272"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠈⠱⠀"}},"key":"2273"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠈⠱⠀"}},"key":"2274"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠈⠱⠀"}},"key":"2275"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠨⠂⠀"}},"key":"2276"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠐⠅⠀"}},"key":"2277"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠨⠂⠀"}},"key":"2278"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠐⠅⠀"}},"key":"2279"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠀"}},"key":"227A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠀"}},"key":"227B"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠱⠀"}},"key":"227C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠱⠀"}},"key":"227D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠈⠱⠀"}},"key":"227E"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠈⠱⠀"}},"key":"227F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠐⠅⠀"}},"key":"2280"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠐⠅⠀"}},"key":"2281"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠐⠅⠀"}},"key":"2282"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠨⠂⠀"}},"key":"2283"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠐⠅⠀"}},"key":"2284"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠨⠂⠀"}},"key":"2285"},{"category":"Sm","mappings":{"default":{"default":"⠸⠀⠅⠱"}},"key":"2286"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠱⠀"}},"key":"2287"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠀⠅⠱⠀"}},"key":"2288"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠱⠀"}},"key":"2289"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠐⠅⠌⠨⠅⠀"}},"key":"228A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠨⠂⠌⠨⠅⠀"}},"key":"228B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠉⠄"}},"key":"228C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠙⠄"}},"key":"228D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠑⠄"}},"key":"228E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠋⠄"}},"key":"228F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠴⠄"}},"key":"2290"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠂⠄"}},"key":"2291"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠆⠄"}},"key":"2292"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠒⠄"}},"key":"2293"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠲⠄"}},"key":"2294"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠬⠻"}},"key":"2295"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠤⠻"}},"key":"2296"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠡⠻"}},"key":"2297"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠸⠌⠻"}},"key":"2298"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠡⠻"}},"key":"2299"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠘⠨⠡⠻"}},"key":"229A"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠼⠻"}},"key":"229B"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠨⠅⠻"}},"key":"229C"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠤⠤⠻"}},"key":"229D"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠬⠻"}},"key":"229E"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠤⠻"}},"key":"229F"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠈⠡⠻"}},"key":"22A0"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠡⠻"}},"key":"22A1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠆⠄"}},"key":"22A2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠒⠄"}},"key":"22A3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠲⠄"}},"key":"22A4"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠏⠀"}},"key":"22A5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠖⠄"}},"key":"22A6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠶⠄"}},"key":"22A7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠦⠄"}},"key":"22A8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠔⠄"}},"key":"22A9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠁⠄"}},"key":"22AA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠃⠄"}},"key":"22AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠉⠄"}},"key":"22AC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠙⠄"}},"key":"22AD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠑⠄"}},"key":"22AE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠋⠄"}},"key":"22AF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠴⠄"}},"key":"22B0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠂⠄"}},"key":"22B1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠆⠄"}},"key":"22B2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠒⠄"}},"key":"22B3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠲⠄"}},"key":"22B4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠢⠄"}},"key":"22B5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠖⠄"}},"key":"22B6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠶⠄"}},"key":"22B7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠦⠄"}},"key":"22B8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠔⠄"}},"key":"22B9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠁⠄"}},"key":"22BA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠃⠄"}},"key":"22BB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠉⠄"}},"key":"22BC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠙⠄"}},"key":"22BD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠋⠄"}},"key":"22BF"},{"category":"Sm","mappings":{"default":{"default":"⠈⠩"}},"key":"22C0"},{"category":"Sm","mappings":{"default":{"default":"⠈⠬"}},"key":"22C1"},{"category":"Sm","mappings":{"default":{"default":"⠨⠩"}},"key":"22C2"},{"category":"Sm","mappings":{"default":{"default":"⠨⠬"}},"key":"22C3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠲⠄"}},"key":"22C4"},{"category":"Sm","mappings":{"default":{"default":"⠡"}},"key":"22C5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠖⠄"}},"key":"22C6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠶⠄"}},"key":"22C7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠦⠄"}},"key":"22C8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠔⠄"}},"key":"22C9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠁⠄"}},"key":"22CA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠃⠄"}},"key":"22CB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠉⠄"}},"key":"22CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠙⠄"}},"key":"22CD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠑⠄"}},"key":"22CE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠋⠄"}},"key":"22CF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠴⠄"}},"key":"22D0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠂⠄"}},"key":"22D1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠆⠄"}},"key":"22D2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠒⠄"}},"key":"22D3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠲⠄"}},"key":"22D4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠢⠄"}},"key":"22D5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠖⠄"}},"key":"22D6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠶⠄"}},"key":"22D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠦⠄"}},"key":"22D8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠔⠄"}},"key":"22D9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠁⠄"}},"key":"22DA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠃⠄"}},"key":"22DB"},{"category":"Sm","mappings":{"default":{"default":"⠀⠱⠐⠅⠀"}},"key":"22DC"},{"category":"Sm","mappings":{"default":{"default":"⠀⠱⠨⠂⠀"}},"key":"22DD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠑⠄"}},"key":"22DE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠋⠄"}},"key":"22DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠴⠄"}},"key":"22E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠂⠄"}},"key":"22E1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠆⠄"}},"key":"22E2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠒⠄"}},"key":"22E3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠲⠄"}},"key":"22E4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠢⠄"}},"key":"22E5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠖⠄"}},"key":"22E6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠶⠄"}},"key":"22E7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠦⠄"}},"key":"22E8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠔⠄"}},"key":"22E9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠁⠄"}},"key":"22EA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠃⠄"}},"key":"22EB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠉⠄"}},"key":"22EC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠙⠄"}},"key":"22ED"},{"category":"Sm","mappings":{"default":{"default":"⠣⠄⠄⠄"}},"key":"22EE"},{"category":"Sm","mappings":{"default":{"default":"⠄⠄⠄"}},"key":"22EF"},{"category":"Sm","mappings":{"default":{"default":"⠘⠄⠄⠄"}},"key":"22F0"},{"category":"Sm","mappings":{"default":{"default":"⠰⠄⠄⠄"}},"key":"22F1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠆⠄"}},"key":"22F2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠒⠄"}},"key":"22F3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠲⠄"}},"key":"22F4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠢⠄"}},"key":"22F5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠖⠄"}},"key":"22F6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠶⠄"}},"key":"22F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠦⠄"}},"key":"22F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠔⠄"}},"key":"22F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠁⠄"}},"key":"22FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠃⠄"}},"key":"22FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠉⠄"}},"key":"22FC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠙⠄"}},"key":"22FD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠑⠄"}},"key":"22FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠋⠄"}},"key":"22FF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠴⠄"}},"key":"2300"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠆⠄"}},"key":"2302"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠢⠄"}},"key":"2305"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠖⠄"}},"key":"2306"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠶⠄"}},"key":"2307"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠴⠄"}},"key":"2310"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠂⠄"}},"key":"2311"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠆⠄"}},"key":"2312"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠒⠄"}},"key":"2313"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠲⠄"}},"key":"2314"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠢⠄"}},"key":"2795"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠖⠄"}},"key":"2796"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠶⠄"}},"key":"2797"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠴⠄"}},"key":"27B0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠋⠄"}},"key":"27BF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠂⠄"}},"key":"27C1"},{"category":"Sm","mappings":{"default":{"default":"⠫⠏"}},"key":"27C2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠒⠄"}},"key":"27C3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠲⠄"}},"key":"27C4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠶⠄"}},"key":"27C7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠦⠄"}},"key":"27C8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠔⠄"}},"key":"27C9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠁⠄"}},"key":"27CA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠃⠄"}},"key":"27CB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠉⠄"}},"key":"27CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠙⠄"}},"key":"27CD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠑⠄"}},"key":"27CE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠋⠄"}},"key":"27CF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠴⠄"}},"key":"27D0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠂⠄"}},"key":"27D1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠆⠄"}},"key":"27D2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠒⠄"}},"key":"27D3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠲⠄"}},"key":"27D4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠢⠄"}},"key":"27D5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠖⠄"}},"key":"27D6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠶⠄"}},"key":"27D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠦⠄"}},"key":"27D8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠔⠄"}},"key":"27D9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠁⠄"}},"key":"27DA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠃⠄"}},"key":"27DB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠉⠄"}},"key":"27DC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠙⠄"}},"key":"27DD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠑⠄"}},"key":"27DE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠋⠄"}},"key":"27DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠴⠄"}},"key":"27E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠂⠄"}},"key":"27E1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠆⠄"}},"key":"27E2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠒⠄"}},"key":"27E3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠲⠄"}},"key":"27E4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠢⠄"}},"key":"27E5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠃⠄"}},"key":"292B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠉⠄"}},"key":"292C"},{"category":"Sm","mappings":{"default":{"default":"⠳⠳⠳"}},"key":"2980"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠂⠄"}},"key":"2981"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠆⠄"}},"key":"2982"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠔⠄"}},"key":"2999"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠁⠄"}},"key":"299A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠴⠄"}},"key":"29B0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠂⠄"}},"key":"29B1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠆⠄"}},"key":"29B2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠢⠄"}},"key":"29B5"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠳⠻"}},"key":"29B6"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠫⠇⠻"}},"key":"29B7"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠸⠡⠻"}},"key":"29B8"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠫⠏⠻"}},"key":"29B9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠁⠄"}},"key":"29BA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠃⠄"}},"key":"29BB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠉⠄"}},"key":"29BC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠑⠄"}},"key":"29BE"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠔⠔⠻"}},"key":"29BF"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠐⠅⠻"}},"key":"29C0"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠨⠂⠻"}},"key":"29C1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠆⠄"}},"key":"29C2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠒⠄"}},"key":"29C3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠲⠄"}},"key":"29C4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠢⠄"}},"key":"29C5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠖⠄"}},"key":"29C6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠶⠄"}},"key":"29C7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠦⠄"}},"key":"29C8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠔⠄"}},"key":"29C9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠁⠄"}},"key":"29CA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠃⠄"}},"key":"29CB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠉⠄"}},"key":"29CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠙⠄"}},"key":"29CD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠑⠄"}},"key":"29CE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠋⠄"}},"key":"29CF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠴⠄"}},"key":"29D0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠂⠄"}},"key":"29D1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠆⠄"}},"key":"29D2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠒⠄"}},"key":"29D3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠲⠄"}},"key":"29D4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠢⠄"}},"key":"29D5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠖⠄"}},"key":"29D6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠶⠄"}},"key":"29D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠉⠄"}},"key":"29DC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠙⠄"}},"key":"29DD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠑⠄"}},"key":"29DE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠋⠄"}},"key":"29DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠴⠄"}},"key":"29E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠂⠄"}},"key":"29E1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠆⠄"}},"key":"29E2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠒⠄"}},"key":"29E3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠲⠄"}},"key":"29E4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠢⠄"}},"key":"29E5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠖⠄"}},"key":"29E6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠶⠄"}},"key":"29E7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠦⠄"}},"key":"29E8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠔⠄"}},"key":"29E9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠃⠄"}},"key":"29EB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠑⠄"}},"key":"29EE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠋⠄"}},"key":"29EF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠴⠄"}},"key":"29F0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠂⠄"}},"key":"29F1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠆⠄"}},"key":"29F2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠒⠄"}},"key":"29F3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠲⠄"}},"key":"29F4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠢⠄"}},"key":"29F5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠖⠄"}},"key":"29F6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠶⠄"}},"key":"29F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠦⠄"}},"key":"29F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠔⠄"}},"key":"29F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠁⠄"}},"key":"29FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠃⠄"}},"key":"29FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠑⠄"}},"key":"29FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠋⠄"}},"key":"29FF"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠡⠻"}},"key":"2A00"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠬⠻"}},"key":"2A01"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠡⠻"}},"key":"2A02"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠒⠄"}},"key":"2A03"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠲⠄"}},"key":"2A04"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠢⠄"}},"key":"2A05"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠖⠄"}},"key":"2A06"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠶⠄"}},"key":"2A07"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠦⠄"}},"key":"2A08"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠔⠄"}},"key":"2A09"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠁⠄"}},"key":"2A0A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠃⠄"}},"key":"2A0B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠉⠄"}},"key":"2A0C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠙⠄"}},"key":"2A0D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠑⠄"}},"key":"2A0E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠋⠄"}},"key":"2A0F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠴⠄"}},"key":"2A10"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠂⠄"}},"key":"2A11"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠆⠄"}},"key":"2A12"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠒⠄"}},"key":"2A13"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠲⠄"}},"key":"2A14"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠢⠄"}},"key":"2A15"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠖⠄"}},"key":"2A16"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠦⠄"}},"key":"2A18"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠔⠄"}},"key":"2A19"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠁⠄"}},"key":"2A1A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠃⠄"}},"key":"2A1B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠉⠄"}},"key":"2A1C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠙⠄"}},"key":"2A1D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠑⠄"}},"key":"2A1E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠋⠄"}},"key":"2A1F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠴⠄"}},"key":"2A20"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠂⠄"}},"key":"2A21"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠆⠄"}},"key":"2A22"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠒⠄"}},"key":"2A23"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠲⠄"}},"key":"2A24"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠢⠄"}},"key":"2A25"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠖⠄"}},"key":"2A26"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠶⠄"}},"key":"2A27"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠦⠄"}},"key":"2A28"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠔⠄"}},"key":"2A29"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠁⠄"}},"key":"2A2A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠃⠄"}},"key":"2A2B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠉⠄"}},"key":"2A2C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠙⠄"}},"key":"2A2D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠑⠄"}},"key":"2A2E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠋⠄"}},"key":"2A2F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠴⠄"}},"key":"2A30"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠂⠄"}},"key":"2A31"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠆⠄"}},"key":"2A32"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠒⠄"}},"key":"2A33"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠲⠄"}},"key":"2A34"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠢⠄"}},"key":"2A35"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠖⠄"}},"key":"2A36"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠶⠄"}},"key":"2A37"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠌⠻"}},"key":"2A38"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠔⠄"}},"key":"2A39"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠁⠄"}},"key":"2A3A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠃⠄"}},"key":"2A3B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠉⠄"}},"key":"2A3C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠙⠄"}},"key":"2A3D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠑⠄"}},"key":"2A3E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠋⠄"}},"key":"2A3F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠴⠄"}},"key":"2A40"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠂⠄"}},"key":"2A41"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠆⠄"}},"key":"2A42"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠒⠄"}},"key":"2A43"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠲⠄"}},"key":"2A44"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠢⠄"}},"key":"2A45"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠖⠄"}},"key":"2A46"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠶⠄"}},"key":"2A47"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠦⠄"}},"key":"2A48"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠔⠄"}},"key":"2A49"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠁⠄"}},"key":"2A4A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠃⠄"}},"key":"2A4B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠉⠄"}},"key":"2A4C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠙⠄"}},"key":"2A4D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠑⠄"}},"key":"2A4E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠋⠄"}},"key":"2A4F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠴⠄"}},"key":"2A50"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠂⠄"}},"key":"2A51"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠆⠄"}},"key":"2A52"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠒⠄"}},"key":"2A53"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠲⠄"}},"key":"2A54"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠢⠄"}},"key":"2A55"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠖⠄"}},"key":"2A56"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠶⠄"}},"key":"2A57"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠦⠄"}},"key":"2A58"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠔⠄"}},"key":"2A59"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠁⠄"}},"key":"2A5A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠃⠄"}},"key":"2A5B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠉⠄"}},"key":"2A5C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠙⠄"}},"key":"2A5D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠑⠄"}},"key":"2A5E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠋⠄"}},"key":"2A5F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠴⠄"}},"key":"2A60"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠂⠄"}},"key":"2A61"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠆⠄"}},"key":"2A62"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠒⠄"}},"key":"2A63"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠲⠄"}},"key":"2A64"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠢⠄"}},"key":"2A65"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠖⠄"}},"key":"2A66"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠶⠄"}},"key":"2A67"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠦⠄"}},"key":"2A68"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠔⠄"}},"key":"2A69"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠁⠄"}},"key":"2A6A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠃⠄"}},"key":"2A6B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠉⠄"}},"key":"2A6C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠙⠄"}},"key":"2A6D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠑⠄"}},"key":"2A6E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠋⠄"}},"key":"2A6F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠴⠄"}},"key":"2A70"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠂⠄"}},"key":"2A71"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠆⠄"}},"key":"2A72"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠒⠄"}},"key":"2A73"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠲⠄"}},"key":"2A74"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠢⠄"}},"key":"2A75"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠖⠄"}},"key":"2A76"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠶⠄"}},"key":"2A77"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠦⠄"}},"key":"2A78"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠔⠄"}},"key":"2A79"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠁⠄"}},"key":"2A7A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠃⠄"}},"key":"2A7B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠉⠄"}},"key":"2A7C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠙⠄"}},"key":"2A7D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠑⠄"}},"key":"2A7E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠋⠄"}},"key":"2A7F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠴⠄"}},"key":"2A80"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠂⠄"}},"key":"2A81"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠆⠄"}},"key":"2A82"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠒⠄"}},"key":"2A83"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠲⠄"}},"key":"2A84"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠢⠄"}},"key":"2A85"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠖⠄"}},"key":"2A86"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠶⠄"}},"key":"2A87"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠦⠄"}},"key":"2A88"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠔⠄"}},"key":"2A89"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠁⠄"}},"key":"2A8A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠃⠄"}},"key":"2A8B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠉⠄"}},"key":"2A8C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠙⠄"}},"key":"2A8D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠑⠄"}},"key":"2A8E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠋⠄"}},"key":"2A8F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠴⠄"}},"key":"2A90"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠂⠄"}},"key":"2A91"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠆⠄"}},"key":"2A92"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠒⠄"}},"key":"2A93"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠲⠄"}},"key":"2A94"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠢⠄"}},"key":"2A95"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠖⠄"}},"key":"2A96"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠶⠄"}},"key":"2A97"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠦⠄"}},"key":"2A98"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠔⠄"}},"key":"2A99"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠁⠄"}},"key":"2A9A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠃⠄"}},"key":"2A9B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠉⠄"}},"key":"2A9C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠙⠄"}},"key":"2A9D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠑⠄"}},"key":"2A9E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠋⠄"}},"key":"2A9F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠴⠄"}},"key":"2AA0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠂⠄"}},"key":"2AA1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠆⠄"}},"key":"2AA2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠒⠄"}},"key":"2AA3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠲⠄"}},"key":"2AA4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠢⠄"}},"key":"2AA5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠖⠄"}},"key":"2AA6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠶⠄"}},"key":"2AA7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠦⠄"}},"key":"2AA8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠔⠄"}},"key":"2AA9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠁⠄"}},"key":"2AAA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠃⠄"}},"key":"2AAB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠉⠄"}},"key":"2AAC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠙⠄"}},"key":"2AAD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠑⠄"}},"key":"2AAE"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠱⠀"}},"key":"2AAF"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠱⠀"}},"key":"2AB0"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠌⠱⠀"}},"key":"2AB1"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠌⠱⠀"}},"key":"2AB2"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠨⠅⠀"}},"key":"2AB3"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠨⠅⠀"}},"key":"2AB4"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠌⠨⠅⠀"}},"key":"2AB5"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠌⠨⠅⠀"}},"key":"2AB6"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠈⠱⠈⠱⠀"}},"key":"2AB7"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠈⠱⠈⠱⠀"}},"key":"2AB8"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠌⠈⠱⠈⠱⠀"}},"key":"2AB9"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠌⠈⠱⠈⠱⠀"}},"key":"2ABA"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠈⠨⠐⠅⠻⠀"}},"key":"2ABB"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠈⠨⠨⠐⠻⠀"}},"key":"2ABC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠃⠙⠄"}},"key":"2ABD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠃⠑⠄"}},"key":"2ABE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠃⠋⠄"}},"key":"2ABF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠴⠄"}},"key":"2AC0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠂⠄"}},"key":"2AC1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠆⠄"}},"key":"2AC2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠒⠄"}},"key":"2AC3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠲⠄"}},"key":"2AC4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠢⠄"}},"key":"2AC5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠖⠄"}},"key":"2AC6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠶⠄"}},"key":"2AC7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠦⠄"}},"key":"2AC8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠔⠄"}},"key":"2AC9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠁⠄"}},"key":"2ACA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠃⠄"}},"key":"2ACB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠉⠄"}},"key":"2ACC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠙⠄"}},"key":"2ACD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠑⠄"}},"key":"2ACE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠋⠄"}},"key":"2ACF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠴⠄"}},"key":"2AD0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠂⠄"}},"key":"2AD1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠆⠄"}},"key":"2AD2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠒⠄"}},"key":"2AD3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠲⠄"}},"key":"2AD4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠢⠄"}},"key":"2AD5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠖⠄"}},"key":"2AD6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠶⠄"}},"key":"2AD7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠦⠄"}},"key":"2AD8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠔⠄"}},"key":"2AD9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠁⠄"}},"key":"2ADA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠃⠄"}},"key":"2ADB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠉⠄"}},"key":"2ADC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠙⠄"}},"key":"2ADD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠑⠄"}},"key":"2ADE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠋⠄"}},"key":"2ADF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠴⠄"}},"key":"2AE0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠂⠄"}},"key":"2AE1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠆⠄"}},"key":"2AE2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠒⠄"}},"key":"2AE3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠲⠄"}},"key":"2AE4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠢⠄"}},"key":"2AE5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠖⠄"}},"key":"2AE6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠶⠄"}},"key":"2AE7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠦⠄"}},"key":"2AE8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠔⠄"}},"key":"2AE9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠁⠄"}},"key":"2AEA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠃⠄"}},"key":"2AEB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠉⠄"}},"key":"2AEC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠙⠄"}},"key":"2AED"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠑⠄"}},"key":"2AEE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠋⠄"}},"key":"2AEF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠴⠄"}},"key":"2AF0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠂⠄"}},"key":"2AF1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠆⠄"}},"key":"2AF2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠒⠄"}},"key":"2AF3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠲⠄"}},"key":"2AF4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠢⠄"}},"key":"2AF5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠖⠄"}},"key":"2AF6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠶⠄"}},"key":"2AF7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠦⠄"}},"key":"2AF8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠔⠄"}},"key":"2AF9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠁⠄"}},"key":"2AFA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠃⠄"}},"key":"2AFB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠉⠄"}},"key":"2AFC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠙⠄"}},"key":"2AFD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠑⠄"}},"key":"2AFE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠋⠄"}},"key":"2AFF"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠉⠄"}},"key":"301C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠴⠄"}},"key":"FE10"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠒⠄"}},"key":"FE13"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠲⠄"}},"key":"FE14"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠢⠄"}},"key":"FE15"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠖⠄"}},"key":"FE16"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠔⠄"}},"key":"FE19"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠴⠄"}},"key":"FE30"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠂⠄"}},"key":"FE31"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠆⠄"}},"key":"FE32"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠒⠄"}},"key":"FE33"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠲⠄"}},"key":"FE34"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠢⠄"}},"key":"FE45"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠖⠄"}},"key":"FE46"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠔⠄"}},"key":"FE49"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠁⠄"}},"key":"FE4A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠃⠄"}},"key":"FE4B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠉⠄"}},"key":"FE4C"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠙⠄"}},"key":"FE4D"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠑⠄"}},"key":"FE4E"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠋⠄"}},"key":"FE4F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠴⠄"}},"key":"FE50"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠆⠄"}},"key":"FE52"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠲⠄"}},"key":"FE54"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠢⠄"}},"key":"FE55"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠖⠄"}},"key":"FE56"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠶⠄"}},"key":"FE57"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠦⠄"}},"key":"FE58"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠋⠄"}},"key":"FE5F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠴⠄"}},"key":"FE60"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠂⠄"}},"key":"FE61"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠆⠄"}},"key":"FE62"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠒⠄"}},"key":"FE63"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠲⠄"}},"key":"FE64"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠢⠄"}},"key":"FE65"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠖⠄"}},"key":"FE66"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠦⠄"}},"key":"FE68"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠔⠄"}},"key":"FE69"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠁⠄"}},"key":"FE6A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠃⠄"}},"key":"FE6B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠂⠄"}},"key":"FF01"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠆⠄"}},"key":"FF02"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠒⠄"}},"key":"FF03"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠲⠄"}},"key":"FF04"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠢⠄"}},"key":"FF05"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠖⠄"}},"key":"FF06"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠶⠄"}},"key":"FF07"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠁⠄"}},"key":"FF0A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠃⠄"}},"key":"FF0B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠉⠄"}},"key":"FF0C"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠙⠄"}},"key":"FF0D"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠑⠄"}},"key":"FF0E"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠋⠄"}},"key":"FF0F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠁⠄"}},"key":"FF1A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠃⠄"}},"key":"FF1B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠉⠄"}},"key":"FF1C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠙⠄"}},"key":"FF1D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠑⠄"}},"key":"FF1E"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠋⠄"}},"key":"FF1F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠆⠴⠄"}},"key":"FF20"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠉⠄"}},"key":"FF3C"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠑⠄"}},"key":"FF3E"},{"category":"Pc","mappings":{"default":{"default":"⠱"}},"key":"FF3F"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠲⠴⠄"}},"key":"FF40"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠉⠄"}},"key":"FF5C"},{"category":"Sm","mappings":{"default":{"default":"⠈⠱"}},"key":"FF5E"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠴⠄"}},"key":"FFE0"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠂⠄"}},"key":"FFE1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠆⠄"}},"key":"FFE2"},{"category":"Sk","mappings":{"default":{"default":"⠱"}},"key":"FFE3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠲⠄"}},"key":"FFE4"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠢⠄"}},"key":"FFE5"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠖⠄"}},"key":"FFE6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠦⠄"}},"key":"FFE8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠙⠄"}},"key":"FFED"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠑⠄"}},"key":"FFEE"}]
+,
+"nemeth/symbols/math_whitespace.js": 
+[{"locale":"nemeth"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"0020"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"00A0"},{"category":"Cf","mappings":{"default":{"default":"⠤"}},"key":"00AD"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2000"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2001"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2002"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2003"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2004"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2005"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2006"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2007"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2008"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2009"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"200A"},{"category":"Cf","mappings":{"default":{"default":"⠀"}},"key":"200B"},{"category":"Cf","mappings":{"default":{"default":""}},"key":"200C"},{"category":"Cf","mappings":{"default":{"default":""}},"key":"200D"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠴⠑⠄"}},"key":"200E"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠴⠋⠄"}},"key":"200F"},{"category":"Zl","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠦⠄"}},"key":"2028"},{"category":"Zp","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠔⠄"}},"key":"2029"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠁⠄"}},"key":"202A"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠃⠄"}},"key":"202B"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠉⠄"}},"key":"202C"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠙⠄"}},"key":"202D"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠑⠄"}},"key":"202E"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"202F"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"205F"},{"category":"Cf","mappings":{"default":{"default":""}},"key":"2060"},{"category":"Cf","mappings":{"default":{"default":"⠀"}},"key":"2061"},{"category":"Cf","mappings":{"default":{"default":"⠈⠡"}},"key":"2062"},{"category":"Cf","mappings":{"default":{"default":"⠠"}},"key":"2063"},{"category":"Cf","mappings":{"default":{"default":"⠬"}},"key":"2064"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠁⠄"}},"key":"206A"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠃⠄"}},"key":"206B"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠑⠄"}},"key":"206E"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠋⠄"}},"key":"206F"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠋⠋⠄"}},"key":"FEFF"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠋⠔⠄"}},"key":"FFF9"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠋⠁⠄"}},"key":"FFFA"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠋⠃⠄"}},"key":"FFFB"}]
+,
+"nemeth/symbols/other_stars.js": 
+[{"locale":"nemeth"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠑⠦⠄"}},"key":"23E8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠖⠴⠢⠄"}},"key":"2605"},{"category":"So","mappings":{"default":{"default":"⠫⠎"}},"key":"2606"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠖⠁⠁⠄"}},"key":"26AA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠖⠁⠃⠄"}},"key":"26AB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠴⠢⠄"}},"key":"2705"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠒⠄"}},"key":"2713"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠲⠄"}},"key":"2714"},{"category":"So","mappings":{"default":{"default":"⠈⠡"}},"key":"2715"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠖⠄"}},"key":"2716"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠶⠄"}},"key":"2717"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠦⠄"}},"key":"2718"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠃⠄"}},"key":"271B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠉⠄"}},"key":"271C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠴⠄"}},"key":"2720"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠂⠄"}},"key":"2721"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠆⠄"}},"key":"2722"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠒⠄"}},"key":"2723"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠲⠄"}},"key":"2724"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠢⠄"}},"key":"2725"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠖⠄"}},"key":"2726"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠶⠄"}},"key":"2727"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠦⠄"}},"key":"2728"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠔⠄"}},"key":"2729"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠁⠄"}},"key":"272A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠃⠄"}},"key":"272B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠉⠄"}},"key":"272C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠙⠄"}},"key":"272D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠑⠄"}},"key":"272E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠋⠄"}},"key":"272F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠴⠄"}},"key":"2730"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠂⠄"}},"key":"2731"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠆⠄"}},"key":"2732"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠒⠄"}},"key":"2733"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠲⠄"}},"key":"2734"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠢⠄"}},"key":"2735"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠖⠄"}},"key":"2736"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠔⠄"}},"key":"2739"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠁⠄"}},"key":"273A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠃⠄"}},"key":"273B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠉⠄"}},"key":"273C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠙⠄"}},"key":"273D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠑⠄"}},"key":"273E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠋⠄"}},"key":"273F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠴⠄"}},"key":"2740"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠂⠄"}},"key":"2741"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠆⠄"}},"key":"2742"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠒⠄"}},"key":"2743"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠲⠄"}},"key":"2744"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠢⠄"}},"key":"2745"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠖⠄"}},"key":"2746"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠶⠄"}},"key":"2747"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠦⠄"}},"key":"2748"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠔⠄"}},"key":"2749"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠁⠄"}},"key":"274A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠃⠄"}},"key":"274B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠉⠄"}},"key":"274C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠙⠄"}},"key":"274D"}]
+,
+"nemeth/units/energy.js": 
+[{"locale":"nemeth"},{"category":"energy","mappings":{"default":{"default":"⠠⠺"}},"key":"W","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"⠅⠠⠺"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"⠍⠠⠺"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"⠅⠺⠓"}},"key":"kwh","names":["kwh","kWh"]},{"category":"energy","mappings":{"default":{"default":"⠠⠚"}},"key":"J","names":["J"]},{"category":"energy","mappings":{"default":{"default":"⠠⠝"}},"key":"N","names":["N"]},{"category":"energy","mappings":{"default":{"default":"⠠⠁"}},"key":"A","names":["A"]},{"category":"energy","mappings":{"default":{"default":"⠠⠧"}},"key":"V","names":["V"]},{"category":"energy","mappings":{"default":{"default":"⠨⠍⠨⠠⠺"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"⠍⠨⠠⠺"}},"key":"mΩ","names":["mΩ"]},{"category":"energy","mappings":{"default":{"default":"⠨⠠⠺"}},"key":"Ω","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"⠅⠨⠠⠺"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"⠨⠠⠺"}},"key":"Ω","names":["Ω"]},{"category":"energy","mappings":{"default":{"default":"⠍⠨⠠⠺"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"⠛⠨⠠⠺"}},"key":"GΩ","names":["GΩ"]}]
+,
+"nemeth/units/length.js": 
+[{"locale":"nemeth"},{"category":"Length","mappings":{"default":{"default":"⠍⠍"}},"key":"mm","names":["mm"]},{"category":"Length","mappings":{"default":{"default":"⠉⠍"}},"key":"cm","names":["cm"]},{"category":"Length","mappings":{"default":{"default":"⠍"}},"key":"m","names":["m"]},{"category":"Length","mappings":{"default":{"default":"⠅⠍"}},"key":"km","names":["km"]},{"category":"Length","mappings":{"default":{"default":"⠋⠞"}},"key":"ft","names":["ft","ft."]},{"category":"Length","mappings":{"default":{"default":"⠊⠝"}},"key":"in","names":["in","in."]},{"category":"Length","mappings":{"default":{"default":"⠍⠊"}},"key":"mi","names":["mi","mi."]},{"category":"Length","mappings":{"default":{"default":"⠽⠙"}},"key":"yd","names":["yd","yd."]},{"category":"","mappings":{"default":{"default":"⠝⠲⠍⠸⠲"}},"key":"n.m.","names":["n.m."]}]
+,
+"nemeth/units/memory.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠃"}},"key":"b","names":["b"]},{"category":"","mappings":{"default":{"default":"⠠⠃"}},"key":"B","names":["B"]},{"category":"","mappings":{"default":{"default":"⠅⠃"}},"key":"KB","names":["KB"]},{"category":"","mappings":{"default":{"default":"⠍⠃"}},"key":"MB","names":["MB"]},{"category":"","mappings":{"default":{"default":"⠛⠃"}},"key":"GB","names":["GB"]},{"category":"","mappings":{"default":{"default":"⠞⠃"}},"key":"TB","names":["TB"]}]
+,
+"nemeth/units/other.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠙⠕⠵"}},"key":"doz","names":["doz","doz.","dz","dz."]},{"category":"","mappings":{"default":{"default":"⠎⠟"}},"key":"sq","names":["sq","sq."]},{"category":"","mappings":{"default":{"default":"⠓⠁"}},"key":"ha","names":["ha"]}]
+,
+"nemeth/units/speed.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠅⠞"}},"key":"kt","names":["kt","kt."]},{"category":"","mappings":{"default":{"default":"⠍⠏⠓"}},"key":"mph","names":["mph"]},{"category":"","mappings":{"default":{"default":"⠗⠏⠍"}},"key":"rpm","names":["rpm"]},{"category":"","mappings":{"default":{"default":"⠅⠍⠓"}},"key":"kmh","names":["kmh"]}]
+,
+"nemeth/units/temperature.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠠⠋"}},"key":"F","names":["F","F.","°F"]},{"category":"","mappings":{"default":{"default":"⠠⠉"}},"key":"C","names":["C","°C"]},{"category":"","mappings":{"default":{"default":"⠠⠅"}},"key":"K","names":["K","°K"]}]
+,
+"nemeth/units/time.js": 
+[{"locale":"nemeth"},{"category":"time","mappings":{"default":{"default":"⠝⠎"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"⠨⠍⠎"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"⠍⠎"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"⠎"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"⠍⠊⠝⠀"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"⠓"}},"key":"h","names":["h","hr"]}]
+,
+"nemeth/units/volume.js": 
+[{"locale":"nemeth"},{"category":"volume","mappings":{"default":{"default":"⠃⠃⠇"}},"key":"bbl","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"⠉⠥"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"⠋⠇⠸⠲⠀⠕⠵⠸⠲"}},"key":"fl. oz.","names":["fl. oz."]},{"category":"volume","mappings":{"default":{"default":"⠛⠁⠇"}},"key":"gal","names":["gal","gal."]},{"category":"volume","mappings":{"default":{"default":"⠏⠞"}},"key":"pt","names":["pt","pt."]},{"category":"volume","mappings":{"default":{"default":"⠟⠞"}},"key":"qt","names":["qt","qt."]},{"category":"volume","mappings":{"default":{"default":"⠞⠃⠎⠏"}},"key":"tbsp","names":["tbsp","tbsp."]},{"category":"volume","mappings":{"default":{"default":"⠞⠎⠏"}},"key":"tsp","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"⠉⠉"}},"key":"cc","names":["cc"]},{"category":"volume","mappings":{"default":{"default":"⠅⠇"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"⠇"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"⠍⠇"}},"key":"ml","names":["ml"]}]
 ,
-"es/weight.js": 
-[{"locale":"es"},{"key":"lb","names":["lb","lb."],"mappings":{"default":{"default":"libra"}}},{"key":"LT","names":["LT","L.T."],"mappings":{"default":{"default":"libras imperiales"}}},{"key":"oz","names":["oz","oz."],"mappings":{"default":{"default":"onza"}}},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"microgramo"}}},{"key":"gr","names":["g","gr"],"mappings":{"default":{"default":"gramo"}}},{"key":"kg","names":["kg"],"mappings":{"default":{"default":"kilogramo"}}},{"key":"mg","names":["mg"],"mappings":{"default":{"default":"miligramo"}}},{"key":"t","names":["t","T"],"mappings":{"default":{"default":"tonelada"}}}]
+"nemeth/units/weight.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠇⠃"}},"key":"lb","names":["lb","lb."]},{"category":"","mappings":{"default":{"default":"⠇⠞"}},"key":"LT","names":["LT","L.T."]},{"category":"","mappings":{"default":{"default":"⠕⠵"}},"key":"oz","names":["oz","oz."]},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"⠨⠍⠛"}}},{"category":"","mappings":{"default":{"default":"⠛⠗"}},"key":"gr","names":["g","gr"]},{"category":"","mappings":{"default":{"default":"⠅⠛"}},"key":"kg","names":["kg"]},{"category":"","mappings":{"default":{"default":"⠍⠉⠛"}},"key":"mcg","names":["mg","µg"]},{"category":"","mappings":{"default":{"default":"⠍⠛"}},"key":"mg","names":["mg"]},{"category":"","mappings":{"default":{"default":"⠞"}},"key":"t","names":["t","T"]}]
 }
 
diff --git a/extensions/a11y/mathmaps/nemeth.js b/extensions/a11y/mathmaps/nemeth.js
new file mode 100644
index 0000000000..92665a9b74
--- /dev/null
+++ b/extensions/a11y/mathmaps/nemeth.js
@@ -0,0 +1,104 @@
+{
+"nemeth/functions/algebra.js": 
+[{"locale":"nemeth"},{"category":"Algebra","mappings":{"default":{"default":"⠙⠑⠛"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"⠙⠑⠞"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"⠙⠊⠍"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"⠓⠕⠍"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"⠅⠑⠗"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"⠠⠞⠗"}},"key":"Tr","names":["Tr","tr"]}]
+,
+"nemeth/functions/elementary.js": 
+[{"locale":"nemeth"},{"category":"Logarithm","mappings":{"default":{"default":"⠇⠕⠏⠀"}},"key":"log","names":["log"]},{"category":"Logarithm","mappings":{"default":{"default":"⠇⠝⠀"}},"key":"ln","names":["ln"]},{"category":"Logarithm","mappings":{"default":{"default":"⠇⠛"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"⠑⠭⠏"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"⠛⠉⠙"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"⠇⠉⠍"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"⠁⠗⠛⠀"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"⠊⠍"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"⠗⠑"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"⠊⠝⠋⠀"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"⠇⠊⠍"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"⠇⠊⠍⠊⠝⠀⠋"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"⠇⠊⠍⠎⠥⠏"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"⠍⠁⠭⠀"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"⠍⠊⠝⠀"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"⠎⠥⠏"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"⠊⠝⠚⠇⠊⠍"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"⠏⠗⠕⠚⠇⠊⠍"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"⠍⠕⠙"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"⠠⠏⠗"}},"key":"Pr","names":["Pr"]}]
+,
+"nemeth/functions/hyperbolic.js": 
+[{"locale":"nemeth"},{"category":"Hyperbolic","mappings":{"default":{"default":"⠉⠕⠎⠓⠀"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠉⠕⠞⠓⠀"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠉⠎⠉⠓⠀"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠎⠑⠉⠓⠀"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠎⠊⠝⠓⠀"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠞⠁⠕⠓⠀"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠉⠀⠕⠎⠓"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠉⠀⠕⠞⠓"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠉⠀⠎⠉⠓"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠎⠑⠉⠓⠀"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠎⠊⠝⠓⠀"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠞⠁⠕⠓⠀"}},"key":"artanh","names":["artanh","arctanh"]}]
+,
+"nemeth/functions/trigonometry.js": 
+[{"locale":"nemeth"},{"category":"Trigonometric","mappings":{"default":{"default":"⠉⠕⠎⠀"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠉⠕⠞⠀"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠉⠎⠉⠀"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠎⠑⠉⠀"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠎⠊⠝⠀"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠞⠁⠝⠀"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠉⠕⠎⠀"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠉⠕⠞⠀"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠉⠎⠉⠀"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠎⠑⠉⠀"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠎⠊⠝⠀"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠞⠁⠝⠀"}},"key":"arctan","names":["arctan"]}]
+,
+"nemeth/symbols/digits_rest.js": 
+[{"locale":"nemeth"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠲⠼"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠆⠼"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"⠹⠒⠌⠲⠼"}},"key":"00BE"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠶⠼"}},"key":"2150"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠔⠼"}},"key":"2151"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠂⠴⠼"}},"key":"2152"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠒⠼"}},"key":"2153"},{"category":"No","mappings":{"default":{"default":"⠹⠆⠌⠒⠼"}},"key":"2154"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠢⠼"}},"key":"2155"},{"category":"No","mappings":{"default":{"default":"⠹⠆⠌⠢⠼"}},"key":"2156"},{"category":"No","mappings":{"default":{"default":"⠹⠒⠌⠢⠼"}},"key":"2157"},{"category":"No","mappings":{"default":{"default":"⠹⠲⠌⠢⠼"}},"key":"2158"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠖⠼"}},"key":"2159"},{"category":"No","mappings":{"default":{"default":"⠹⠢⠌⠖⠼"}},"key":"215A"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠦⠼"}},"key":"215B"},{"category":"No","mappings":{"default":{"default":"⠹⠒⠌⠦⠼"}},"key":"215C"},{"category":"No","mappings":{"default":{"default":"⠹⠢⠌⠦⠼"}},"key":"215D"},{"category":"No","mappings":{"default":{"default":"⠹⠶⠌⠦⠼"}},"key":"215E"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠼"}},"key":"215F"},{"category":"No","mappings":{"default":{"default":"⠹⠴⠌⠒⠼"}},"key":"2189"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠂⠴⠻⠻"}},"key":"3248"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠆⠴⠻⠻"}},"key":"3249"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠒⠴⠻⠻"}},"key":"324A"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠲⠴⠻⠻"}},"key":"324B"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠢⠴⠻⠻"}},"key":"324C"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠖⠴⠻⠻"}},"key":"324D"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠶⠴⠻⠻"}},"key":"324E"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠦⠴⠻⠻"}},"key":"324F"}]
+,
+"nemeth/symbols/greek-rest.js": 
+[{"locale":"nemeth"}]
+,
+"nemeth/symbols/greek-scripts.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠖⠄"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠶⠄"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠦⠄"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠔⠄"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠁⠄"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠢⠑⠄"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠴⠄"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠖⠄"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠶⠄"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠦⠄"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠔⠄"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠁⠄"}}}]
+,
+"nemeth/symbols/greek-symbols.js": 
+[{"locale":"nemeth"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠙⠴⠄"}},"key":"03D0"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠙⠶⠄"}},"key":"03D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠋⠖⠄"}},"key":"03F6"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠶⠉⠁⠄"}},"key":"1D7CA"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠶⠉⠃⠄"}},"key":"1D7CB"}]
+,
+"nemeth/symbols/hebrew_letters.js": 
+[{"locale":"nemeth"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠢⠄"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠖⠄"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠶⠄"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠦⠄"}},"key":"2138"}]
+,
+"nemeth/symbols/latin-lower-double-accent.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠖⠄"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠦⠄"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠁⠄"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠉⠄"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠋⠄"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠂⠄"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠙⠄"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠃⠄"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠃⠄"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠙⠄"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠂⠄"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠔⠄"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠢⠄"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠶⠄"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠙⠄"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠋⠄"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠔⠄"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠙⠄"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠋⠄"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠂⠄"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠒⠄"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠙⠄"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠢⠄"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠶⠄"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠔⠄"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠔⠄"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠃⠄"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠢⠄"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠶⠄"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠔⠄"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠃⠄"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠙⠄"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠋⠄"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠂⠄"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠒⠄"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠢⠄"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠶⠄"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠋⠄"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠂⠄"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠒⠄"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠢⠄"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠶⠄"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠂⠄"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠒⠄"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠢⠄"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠶⠄"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠔⠄"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠃⠄"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠙⠄"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠋⠄"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠂⠄"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠒⠄"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠔⠄"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠃⠄"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠙⠄"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠋⠄"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠂⠄"}}}]
+,
+"nemeth/symbols/latin-lower-phonetic.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠂⠄"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠶⠄"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠆⠄"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠶⠄"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠴⠄"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠃⠄"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠖⠄"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠑⠄"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠢⠄"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠋⠄"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠉⠄"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠶⠄"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠔⠄"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠙⠄"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠋⠄"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠋⠄"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠦⠄"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠲⠄"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠂⠄"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠆⠄"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠒⠄"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠉⠄"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠙⠄"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠋⠄"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠉⠄"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠙⠄"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠙⠄"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠃⠄"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠋⠄"}}},{"category":"Ll","key":"0138","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠦⠄"}}},{"category":"Ll","key":"017F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠋⠄"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠒⠄"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠢⠄"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠦⠄"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠉⠄"}}},{"category":"Ll","key":"0192","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠆⠄"}}},{"category":"Ll","key":"0195","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠢⠄"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠔⠄"}}},{"category":"Ll","key":"019A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠁⠄"}}},{"category":"Ll","key":"019E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠑⠄"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠂⠄"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠒⠄"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠢⠄"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠦⠄"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠁⠄"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠃⠄"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠙⠄"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠴⠄"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠲⠄"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠔⠄"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠁⠄"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠙⠄"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠋⠄"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠖⠄"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠔⠄"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠉⠄"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠒⠄"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠋⠄"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠒⠄"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠙⠄"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠙⠄"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠙⠄"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠂⠄"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠒⠄"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠢⠄"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠲⠄"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠢⠄"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠖⠄"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠦⠄"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠔⠄"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠋⠄"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠴⠄"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠆⠄"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠃⠄"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠴⠄"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠂⠄"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠆⠄"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠒⠄"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠲⠄"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠢⠄"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠖⠄"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠶⠄"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠦⠄"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠔⠄"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠁⠄"}}},{"category":"Ll","key":"025B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠃⠄"}}},{"category":"Ll","key":"025C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠉⠄"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠙⠄"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠑⠄"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠴⠄"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠂⠄"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠒⠄"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠲⠄"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠢⠄"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠖⠄"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠶⠄"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠔⠄"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠃⠄"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠉⠄"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠙⠄"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠑⠄"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠋⠄"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠴⠄"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠂⠄"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠆⠄"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠒⠄"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠢⠄"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠶⠄"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠦⠄"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠔⠄"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠁⠄"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠃⠄"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠉⠄"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠙⠄"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠑⠄"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠋⠄"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠆⠄"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠒⠄"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠢⠄"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠖⠄"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠶⠄"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠦⠄"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠔⠄"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠁⠄"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠃⠄"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠉⠄"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠙⠄"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠑⠄"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠴⠄"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠂⠄"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠆⠄"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠒⠄"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠢⠄"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠖⠄"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠶⠄"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠦⠄"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠁⠄"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠑⠄"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠴⠄"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠒⠄"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠲⠄"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠢⠄"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠖⠄"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠶⠄"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠦⠄"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠔⠄"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠁⠄"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠃⠄"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠉⠄"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠙⠄"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠑⠄"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠋⠄"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠴⠆⠄"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠴⠦⠄"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠴⠔⠄"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠂⠄"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠆⠄"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠲⠄"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠖⠄"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠶⠄"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠙⠄"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠑⠄"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠋⠄"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠲⠄"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠢⠄"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠃⠄"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠉⠄"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠙⠄"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠑⠄"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠋⠄"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠴⠄"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠂⠄"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠆⠄"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠒⠄"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠲⠄"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠢⠄"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠖⠄"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠶⠄"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠔⠄"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠁⠄"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠴⠄"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠂⠄"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠆⠄"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠒⠄"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠲⠄"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠢⠄"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠖⠄"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠶⠄"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠦⠄"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠔⠄"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠁⠄"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠃⠄"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠉⠄"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠙⠄"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠑⠄"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠋⠄"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠴⠄"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠂⠄"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠆⠄"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠒⠄"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠲⠄"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠢⠄"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠖⠄"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠶⠄"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠦⠄"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠔⠄"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠁⠄"}}},{"category":"Ll","key":"0149","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠔⠄"}}},{"category":"Ll","key":"014B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠃⠄"}}}]
+,
+"nemeth/symbols/latin-lower-single-accent.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"00E0","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E1","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E2","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E3","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E4","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E5","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E7","mappings":{"default":{"default":"⠈⠉"}}},{"category":"Ll","key":"00E8","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00E9","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00EA","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00EB","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00EC","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00ED","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00EE","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00EF","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00F1","mappings":{"default":{"default":"⠈⠝"}}},{"category":"Ll","key":"00F2","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F3","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F4","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F5","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F6","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F9","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FA","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FB","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FC","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FD","mappings":{"default":{"default":"⠈⠽"}}},{"category":"Ll","key":"00FF","mappings":{"default":{"default":"⠈⠽"}}},{"category":"Ll","key":"0101","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠂⠄"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠒⠄"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠢⠄"}}},{"category":"Ll","key":"0107","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠶⠄"}}},{"category":"Ll","key":"0109","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠔⠄"}}},{"category":"Ll","key":"010B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠃⠄"}}},{"category":"Ll","key":"010D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠙⠄"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠋⠄"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠒⠄"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠢⠄"}}},{"category":"Ll","key":"0117","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠶⠄"}}},{"category":"Ll","key":"0119","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠔⠄"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠃⠄"}}},{"category":"Ll","key":"011D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠙⠄"}}},{"category":"Ll","key":"011F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠋⠄"}}},{"category":"Ll","key":"0121","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠂⠄"}}},{"category":"Ll","key":"0123","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠒⠄"}}},{"category":"Ll","key":"0125","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠢⠄"}}},{"category":"Ll","key":"0129","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠔⠄"}}},{"category":"Ll","key":"012B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠃⠄"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠙⠄"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠋⠄"}}},{"category":"Ll","key":"0131","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠂⠄"}}},{"category":"Ll","key":"0135","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠢⠄"}}},{"category":"Ll","key":"0137","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠶⠄"}}},{"category":"Ll","key":"013A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠁⠄"}}},{"category":"Ll","key":"013C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠉⠄"}}},{"category":"Ll","key":"013E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠑⠄"}}},{"category":"Ll","key":"0140","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠴⠄"}}},{"category":"Ll","key":"0144","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠲⠄"}}},{"category":"Ll","key":"0146","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠖⠄"}}},{"category":"Ll","key":"0148","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠦⠄"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠙⠄"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠋⠄"}}},{"category":"Ll","key":"0151","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠂⠄"}}},{"category":"Ll","key":"0155","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠢⠄"}}},{"category":"Ll","key":"0157","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠶⠄"}}},{"category":"Ll","key":"0159","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠔⠄"}}},{"category":"Ll","key":"015B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠃⠄"}}},{"category":"Ll","key":"015D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠙⠄"}}},{"category":"Ll","key":"015F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠋⠄"}}},{"category":"Ll","key":"0161","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠂⠄"}}},{"category":"Ll","key":"0163","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠒⠄"}}},{"category":"Ll","key":"0165","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠢⠄"}}},{"category":"Ll","key":"0169","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠔⠄"}}},{"category":"Ll","key":"016B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠃⠄"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠙⠄"}}},{"category":"Ll","key":"016F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠋⠄"}}},{"category":"Ll","key":"0171","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠂⠄"}}},{"category":"Ll","key":"0173","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠒⠄"}}},{"category":"Ll","key":"0175","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠢⠄"}}},{"category":"Ll","key":"0177","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠶⠄"}}},{"category":"Ll","key":"017A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠁⠄"}}},{"category":"Ll","key":"017C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠉⠄"}}},{"category":"Ll","key":"017E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠑⠄"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠑⠄"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠴⠄"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠆⠄"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠲⠄"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠶⠄"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠔⠄"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠃⠄"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠴⠄"}}},{"category":"Ll","key":"01F5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠢⠄"}}},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠔⠄"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠂⠄"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠒⠄"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠢⠄"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠶⠄"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠔⠄"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠃⠄"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠙⠄"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠋⠄"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠂⠄"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠒⠄"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠢⠄"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠶⠄"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠔⠄"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠃⠄"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠋⠄"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠶⠄"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠔⠄"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠋⠄"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠒⠄"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠶⠄"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠂⠄"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠒⠄"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠢⠄"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠶⠄"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠃⠄"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠙⠄"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠋⠄"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠂⠄"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠒⠄"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠔⠄"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠃⠄"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠋⠄"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠂⠄"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠒⠄"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠢⠄"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠶⠄"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠔⠄"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠃⠄"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠙⠄"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠂⠄"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠒⠄"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠢⠄"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠶⠄"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠃⠄"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠙⠄"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠋⠄"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠂⠄"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠒⠄"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠢⠄"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠶⠄"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠔⠄"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠃⠄"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠢⠄"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠶⠄"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠔⠄"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠃⠄"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠋⠄"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠂⠄"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠒⠄"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠃⠄"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠙⠄"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠋⠄"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠂⠄"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠒⠄"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠢⠄"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠶⠄"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠙⠄"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠋⠄"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠂⠄"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠒⠄"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠢⠄"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠶⠄"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠔⠄"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠃⠄"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠙⠄"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠋⠄"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠂⠄"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠒⠄"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠢⠄"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠖⠄"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠶⠄"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠦⠄"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠔⠄"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠁⠄"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠂⠄"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠒⠄"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠔⠄"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠃⠄"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠙⠄"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠔⠄"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠃⠄"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠙⠄"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠋⠄"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠢⠄"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠶⠄"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠒⠄"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠢⠄"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠶⠄"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠔⠄"}}}]
+,
+"nemeth/symbols/latin-rest.js": 
+[{"locale":"nemeth"},{"category":"Mn","key":"0363","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠒⠄"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠲⠄"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠢⠄"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠖⠄"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠶⠄"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠦⠄"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠔⠄"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠁⠄"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠃⠄"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠉⠄"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠙⠄"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠑⠄"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠋⠄"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠆⠄"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠒⠄"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠲⠄"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠢⠄"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠉⠁⠄"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠒⠄"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠲⠄"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠢⠄"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠖⠄"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠶⠄"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠦⠄"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠔⠄"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠁⠄"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠃⠄"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠉⠄"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠙⠄"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠑⠄"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠋⠄"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠴⠄"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠂⠄"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠆⠄"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠒⠄"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠲⠄"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠢⠄"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠖⠄"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠂⠄"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠋⠄"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠴⠄"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠂⠄"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠆⠄"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠒⠄"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠲⠄"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠢⠄"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠖⠄"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠶⠄"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠦⠄"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠔⠄"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠁⠄"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠃⠄"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠉⠄"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"⠄⡳⠭⠆⠉⠶⠉⠄"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠆⠁⠄"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠆⠃⠄"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠆⠉⠄"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠦⠁⠄"}}}]
+,
+"nemeth/symbols/latin-upper-double-accent.js": 
+[{"locale":"nemeth"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠢⠄"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠶⠄"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠔⠄"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠃⠄"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠑⠄"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠴⠄"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠉⠄"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠁⠄"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠁⠄"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠉⠄"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠴⠄"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠦⠄"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠲⠄"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠖⠄"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠉⠄"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠑⠄"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠦⠄"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠉⠄"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠑⠄"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠴⠄"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠆⠄"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠉⠄"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠲⠄"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠖⠄"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠦⠄"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠦⠄"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠁⠄"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠲⠄"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠖⠄"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠦⠄"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠁⠄"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠉⠄"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠑⠄"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠴⠄"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠆⠄"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠲⠄"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠖⠄"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠑⠄"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠴⠄"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠆⠄"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠲⠄"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠖⠄"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠴⠄"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠆⠄"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠲⠄"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠖⠄"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠦⠄"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠁⠄"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠉⠄"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠑⠄"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠴⠄"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠆⠄"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠦⠄"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠁⠄"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠉⠄"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠑⠄"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠴⠄"}}}]
+,
+"nemeth/symbols/latin-upper-single-accent.js": 
+[{"locale":"nemeth"},{"category":"Lu","key":"00C0","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C1","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C2","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C3","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C4","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C5","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C7","mappings":{"default":{"default":"⠠⠈⠉"}}},{"category":"Lu","key":"00C8","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00C9","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00CA","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00CB","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00CC","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00CD","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00CE","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00CF","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00D1","mappings":{"default":{"default":"⠠⠈⠝"}}},{"category":"Lu","key":"00D2","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D3","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D4","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D5","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠙⠢⠄"}}},{"category":"Lu","key":"00D6","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D9","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DA","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DB","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DC","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DD","mappings":{"default":{"default":"⠠⠈⠽"}}},{"category":"Lu","key":"0100","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠴⠄"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠆⠄"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠲⠄"}}},{"category":"Lu","key":"0106","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠖⠄"}}},{"category":"Lu","key":"0108","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠦⠄"}}},{"category":"Lu","key":"010A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠁⠄"}}},{"category":"Lu","key":"010C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠉⠄"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠑⠄"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠆⠄"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠲⠄"}}},{"category":"Lu","key":"0116","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠖⠄"}}},{"category":"Lu","key":"0118","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠦⠄"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠁⠄"}}},{"category":"Lu","key":"011C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠉⠄"}}},{"category":"Lu","key":"011E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠑⠄"}}},{"category":"Lu","key":"0120","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠴⠄"}}},{"category":"Lu","key":"0122","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠆⠄"}}},{"category":"Lu","key":"0124","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠲⠄"}}},{"category":"Lu","key":"0128","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠦⠄"}}},{"category":"Lu","key":"012A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠁⠄"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠉⠄"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠑⠄"}}},{"category":"Lu","key":"0130","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠴⠄"}}},{"category":"Lu","key":"0134","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠲⠄"}}},{"category":"Lu","key":"0136","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠖⠄"}}},{"category":"Lu","key":"0139","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠔⠄"}}},{"category":"Lu","key":"013B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠃⠄"}}},{"category":"Lu","key":"013D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠙⠄"}}},{"category":"Lu","key":"013F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠋⠄"}}},{"category":"Lu","key":"0143","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠒⠄"}}},{"category":"Lu","key":"0145","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠢⠄"}}},{"category":"Lu","key":"0147","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠶⠄"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠉⠄"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠑⠄"}}},{"category":"Lu","key":"0150","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠴⠄"}}},{"category":"Lu","key":"0154","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠲⠄"}}},{"category":"Lu","key":"0156","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠖⠄"}}},{"category":"Lu","key":"0158","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠦⠄"}}},{"category":"Lu","key":"015A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠁⠄"}}},{"category":"Lu","key":"015C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠉⠄"}}},{"category":"Lu","key":"015E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠑⠄"}}},{"category":"Lu","key":"0160","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠴⠄"}}},{"category":"Lu","key":"0162","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠆⠄"}}},{"category":"Lu","key":"0164","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠲⠄"}}},{"category":"Lu","key":"0168","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠦⠄"}}},{"category":"Lu","key":"016A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠁⠄"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠉⠄"}}},{"category":"Lu","key":"016E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠑⠄"}}},{"category":"Lu","key":"0170","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠴⠄"}}},{"category":"Lu","key":"0172","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠆⠄"}}},{"category":"Lu","key":"0174","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠲⠄"}}},{"category":"Lu","key":"0176","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠖⠄"}}},{"category":"Lu","key":"0178","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠦⠄"}}},{"category":"Lu","key":"0179","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠔⠄"}}},{"category":"Lu","key":"017B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠃⠄"}}},{"category":"Lu","key":"017D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠙⠄"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠙⠄"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠋⠄"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠂⠄"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠒⠄"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠖⠄"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠦⠄"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠁⠄"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠲⠄"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠦⠄"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠴⠄"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠆⠄"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠲⠄"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠖⠄"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠦⠄"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠁⠄"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠉⠄"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠑⠄"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠴⠄"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠆⠄"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠲⠄"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠖⠄"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠦⠄"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠁⠄"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠑⠄"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠖⠄"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠦⠄"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠑⠄"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠆⠄"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠴⠄"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠆⠄"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠲⠄"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠖⠄"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠁⠄"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠉⠄"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠑⠄"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠴⠄"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠆⠄"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠦⠄"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠁⠄"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠑⠄"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠴⠄"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠆⠄"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠲⠄"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠖⠄"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠦⠄"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠁⠄"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠉⠄"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠴⠄"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠆⠄"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠲⠄"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠖⠄"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠁⠄"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠉⠄"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠑⠄"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠴⠄"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠆⠄"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠲⠄"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠖⠄"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠦⠄"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠁⠄"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠲⠄"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠖⠄"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠦⠄"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠁⠄"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠑⠄"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠴⠄"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠆⠄"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠁⠄"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠉⠄"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠑⠄"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠴⠄"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠆⠄"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠲⠄"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠖⠄"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠉⠄"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠑⠄"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠴⠄"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠆⠄"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠲⠄"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠖⠄"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠦⠄"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠁⠄"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠉⠄"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠑⠄"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠴⠄"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠆⠄"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠲⠄"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠴⠄"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠆⠄"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠦⠄"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠁⠄"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠉⠄"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠦⠄"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠁⠄"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠉⠄"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠑⠄"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠲⠄"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠖⠄"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠆⠄"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠲⠄"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠖⠄"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠦⠄"}}}]
+,
+"nemeth/symbols/math_angles.js": 
+[{"locale":"nemeth"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠑⠄"}},"key":"22BE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠶⠉⠄"}},"key":"237C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠴⠄"}},"key":"27C0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠃⠄"}},"key":"299B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠉⠄"}},"key":"299C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠙⠄"}},"key":"299D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠑⠄"}},"key":"299E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠋⠄"}},"key":"299F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠴⠄"}},"key":"29A0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠂⠄"}},"key":"29A1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠆⠄"}},"key":"29A2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠒⠄"}},"key":"29A3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠲⠄"}},"key":"29A4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠢⠄"}},"key":"29A5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠖⠄"}},"key":"29A6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠶⠄"}},"key":"29A7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠦⠄"}},"key":"29A8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠔⠄"}},"key":"29A9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠁⠄"}},"key":"29AA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠃⠄"}},"key":"29AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠉⠄"}},"key":"29AC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠙⠄"}},"key":"29AD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠑⠄"}},"key":"29AE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠋⠄"}},"key":"29AF"}]
+,
+"nemeth/symbols/math_arrows.js": 
+[{"locale":"nemeth"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠀"}},"key":"2190"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠀"}},"key":"2191"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠕⠀"}},"key":"2192"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠀"}},"key":"2193"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠕⠀"}},"key":"2194"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠩⠪⠒⠒⠕⠀"}},"key":"2195"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠪⠒⠒⠀"}},"key":"2196"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠒⠒⠕⠀"}},"key":"2197"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠒⠒⠕⠀"}},"key":"2198"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠪⠒⠒⠀"}},"key":"2199"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠻⠀"}},"key":"219A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠒⠒⠕⠻⠀"}},"key":"219B"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠔⠒⠢⠀"}},"key":"219C"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠔⠒⠢⠕⠀"}},"key":"219D"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠪⠒⠒⠀"}},"key":"219E"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠕⠀"}},"key":"219F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠕⠀"}},"key":"21A0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠕⠀"}},"key":"21A1"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠠⠽⠀"}},"key":"21A2"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠠⠯⠒⠒⠕⠀"}},"key":"21A3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠳⠀"}},"key":"21A4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠳⠒⠒⠕⠀"}},"key":"21A5"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠳⠒⠒⠕⠀"}},"key":"21A6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠳⠒⠒⠕⠀"}},"key":"21A7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠳⠒⠕⠀"}},"key":"21A8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠠⠕⠀"}},"key":"21A9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠠⠪⠒⠒⠕⠀"}},"key":"21AA"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠨⠡⠀"}},"key":"21AB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠨⠡⠒⠒⠕⠀"}},"key":"21AC"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠔⠒⠢⠕⠀"}},"key":"21AD"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠕⠀"}},"key":"21AE"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠔⠢⠔⠀"}},"key":"21AF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠴⠄"}},"key":"21B0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠂⠄"}},"key":"21B1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠆⠄"}},"key":"21B2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠒⠄"}},"key":"21B3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠠⠳⠒⠒⠕⠀"}},"key":"21B4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠠⠳⠒⠒⠕⠀"}},"key":"21B5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠢⠔⠀⠕⠀"}},"key":"21B6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠢⠀⠔⠀"}},"key":"21B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠦⠄"}},"key":"21B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠔⠄"}},"key":"21B9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠢⠔⠕⠀"}},"key":"21BA"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠢⠔⠀"}},"key":"21BB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠫⠪⠒⠒⠀"}},"key":"21C4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠐⠫⠩⠒⠒⠕⠀"}},"key":"21C5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠫⠒⠒⠕⠀"}},"key":"21C6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠚⠒⠒⠫⠚⠒⠒⠀"}},"key":"21C7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠐⠫⠣⠒⠒⠕⠀"}},"key":"21C8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠫⠒⠒⠕⠀"}},"key":"21C9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠐⠫⠩⠒⠒⠕⠀"}},"key":"21CA"},{"category":"So","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠪⠒⠒⠀"}},"key":"21CD"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠪⠒⠒⠕⠕⠀"}},"key":"21CE"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠒⠒⠕⠕⠀"}},"key":"21CF"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠪⠒⠒⠀"}},"key":"21D0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠕⠀"}},"key":"21D1"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠕⠀"}},"key":"21D2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠕⠀"}},"key":"21D3"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠪⠪⠒⠒⠕⠕⠀"}},"key":"21D4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠪⠪⠒⠒⠕⠕⠀"}},"key":"21D5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠪⠪⠒⠒⠀"}},"key":"21D6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠒⠒⠕⠕⠀"}},"key":"21D7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠒⠒⠕⠕⠀"}},"key":"21D8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠪⠪⠒⠒⠀"}},"key":"21D9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠪⠪⠒⠒⠀"}},"key":"21DA"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠕⠕⠀"}},"key":"21DB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠢⠤⠔⠒⠢⠀"}},"key":"21DC"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠢⠤⠔⠒⠢⠕⠀"}},"key":"21DD"},{"category":"So","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠣⠒⠒⠕⠻⠀"}},"key":"21DE"},{"category":"So","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠩⠒⠒⠕⠻⠀"}},"key":"21DF"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠀⠒⠀"}},"key":"21E0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠀⠒⠕⠀"}},"key":"21E1"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠀⠒⠕⠀"}},"key":"21E2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠀⠒⠕⠀"}},"key":"21E3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠳⠪⠒⠒⠀"}},"key":"21E4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠳⠀"}},"key":"21E5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠸⠪⠒⠒⠀"}},"key":"21E6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠸⠒⠒⠕⠀"}},"key":"21E7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠸⠒⠒⠕⠀"}},"key":"21E8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠸⠒⠒⠕⠀"}},"key":"21E9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠁⠄"}},"key":"21EA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠃⠄"}},"key":"21EB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠉⠄"}},"key":"21EC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠙⠄"}},"key":"21ED"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠑⠄"}},"key":"21EE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠋⠄"}},"key":"21EF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠋⠴⠄"}},"key":"21F0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠋⠂⠄"}},"key":"21F1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠋⠆⠄"}},"key":"21F2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠸⠪⠒⠒⠕⠀"}},"key":"21F3"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠨⠡⠀"}},"key":"21F4"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠐⠫⠣⠒⠒⠕⠀"}},"key":"21F5"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠫⠒⠒⠕⠫⠒⠒⠕⠀"}},"key":"21F6"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠻⠀"}},"key":"21F7"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠒⠒⠕⠻⠀"}},"key":"21F8"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠕⠀"}},"key":"21F9"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠪⠒⠒⠻⠀"}},"key":"21FA"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠒⠒⠕⠻⠀"}},"key":"21FB"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠪⠒⠒⠕⠀"}},"key":"21FC"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠳⠒⠒⠀"}},"key":"21FD"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠳⠀"}},"key":"21FE"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠳⠒⠒⠳⠀"}},"key":"21FF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠂⠄"}},"key":"2301"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠒⠄"}},"key":"2303"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠲⠄"}},"key":"2304"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠆⠲⠄"}},"key":"2324"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠦⠃⠄"}},"key":"238B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠲⠄"}},"key":"2794"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠦⠄"}},"key":"2798"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠔⠄"}},"key":"2799"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠁⠄"}},"key":"279A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠃⠄"}},"key":"279B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠉⠄"}},"key":"279C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠙⠄"}},"key":"279D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠑⠄"}},"key":"279E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠋⠄"}},"key":"279F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠴⠄"}},"key":"27A0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠂⠄"}},"key":"27A1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠆⠄"}},"key":"27A2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠒⠄"}},"key":"27A3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠲⠄"}},"key":"27A4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠢⠄"}},"key":"27A5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠖⠄"}},"key":"27A6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠶⠄"}},"key":"27A7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠦⠄"}},"key":"27A8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠔⠄"}},"key":"27A9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠁⠄"}},"key":"27AA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠃⠄"}},"key":"27AB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠉⠄"}},"key":"27AC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠙⠄"}},"key":"27AD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠑⠄"}},"key":"27AE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠋⠄"}},"key":"27AF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠂⠄"}},"key":"27B1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠆⠄"}},"key":"27B2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠒⠄"}},"key":"27B3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠲⠄"}},"key":"27B4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠢⠄"}},"key":"27B5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠖⠄"}},"key":"27B6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠶⠄"}},"key":"27B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠦⠄"}},"key":"27B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠔⠄"}},"key":"27B9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠁⠄"}},"key":"27BA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠃⠄"}},"key":"27BB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠉⠄"}},"key":"27BC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠙⠄"}},"key":"27BD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠑⠄"}},"key":"27BE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠴⠄"}},"key":"27F0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠂⠄"}},"key":"27F1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠆⠄"}},"key":"27F2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠒⠄"}},"key":"27F3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠲⠄"}},"key":"27F4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠢⠄"}},"key":"27F5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠖⠄"}},"key":"27F6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠶⠄"}},"key":"27F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠦⠄"}},"key":"27F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠔⠄"}},"key":"27F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠁⠄"}},"key":"27FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠃⠄"}},"key":"27FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠉⠄"}},"key":"27FC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠙⠄"}},"key":"27FD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠑⠄"}},"key":"27FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠋⠄"}},"key":"27FF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠴⠄"}},"key":"2900"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠂⠄"}},"key":"2901"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠆⠄"}},"key":"2902"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠒⠄"}},"key":"2903"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠲⠄"}},"key":"2904"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠢⠄"}},"key":"2905"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠖⠄"}},"key":"2906"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠶⠄"}},"key":"2907"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠦⠄"}},"key":"2908"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠔⠄"}},"key":"2909"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠁⠄"}},"key":"290A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠃⠄"}},"key":"290B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠉⠄"}},"key":"290C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠙⠄"}},"key":"290D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠑⠄"}},"key":"290E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠋⠄"}},"key":"290F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠴⠄"}},"key":"2910"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠂⠄"}},"key":"2911"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠆⠄"}},"key":"2912"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠒⠄"}},"key":"2913"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠲⠄"}},"key":"2914"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠢⠄"}},"key":"2915"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠖⠄"}},"key":"2916"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠶⠄"}},"key":"2917"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠦⠄"}},"key":"2918"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠔⠄"}},"key":"2919"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠁⠄"}},"key":"291A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠃⠄"}},"key":"291B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠉⠄"}},"key":"291C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠙⠄"}},"key":"291D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠑⠄"}},"key":"291E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠋⠄"}},"key":"291F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠴⠄"}},"key":"2920"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠂⠄"}},"key":"2921"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠆⠄"}},"key":"2922"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠒⠄"}},"key":"2923"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠲⠄"}},"key":"2924"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠢⠄"}},"key":"2925"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠖⠄"}},"key":"2926"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠶⠄"}},"key":"2927"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠦⠄"}},"key":"2928"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠔⠄"}},"key":"2929"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠁⠄"}},"key":"292A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠙⠄"}},"key":"292D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠑⠄"}},"key":"292E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠋⠄"}},"key":"292F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠴⠄"}},"key":"2930"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠂⠄"}},"key":"2931"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠆⠄"}},"key":"2932"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠒⠄"}},"key":"2933"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠲⠄"}},"key":"2934"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠢⠄"}},"key":"2935"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠖⠄"}},"key":"2936"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠶⠄"}},"key":"2937"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠦⠄"}},"key":"2938"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠔⠄"}},"key":"2939"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠁⠄"}},"key":"293A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠃⠄"}},"key":"293B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠉⠄"}},"key":"293C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠙⠄"}},"key":"293D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠑⠄"}},"key":"293E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠋⠄"}},"key":"293F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠴⠄"}},"key":"2940"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠂⠄"}},"key":"2941"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠆⠄"}},"key":"2942"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠒⠄"}},"key":"2943"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠲⠄"}},"key":"2944"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠢⠄"}},"key":"2945"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠖⠄"}},"key":"2946"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠶⠄"}},"key":"2947"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠦⠄"}},"key":"2948"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠔⠄"}},"key":"2949"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠴⠄"}},"key":"2970"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠂⠄"}},"key":"2971"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠆⠄"}},"key":"2972"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠒⠄"}},"key":"2973"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠲⠄"}},"key":"2974"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠢⠄"}},"key":"2975"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠖⠄"}},"key":"2976"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠶⠄"}},"key":"2977"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠦⠄"}},"key":"2978"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠔⠄"}},"key":"2979"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠁⠄"}},"key":"297A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠃⠄"}},"key":"297B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠒⠄"}},"key":"29B3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠲⠄"}},"key":"29B4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠙⠄"}},"key":"29BD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠁⠄"}},"key":"29EA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠉⠄"}},"key":"29EC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠙⠄"}},"key":"29ED"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠶⠄"}},"key":"2A17"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠴⠄"}},"key":"2B00"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠂⠄"}},"key":"2B01"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠆⠄"}},"key":"2B02"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠒⠄"}},"key":"2B03"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠲⠄"}},"key":"2B04"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠢⠄"}},"key":"2B05"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠖⠄"}},"key":"2B06"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠶⠄"}},"key":"2B07"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠦⠄"}},"key":"2B08"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠔⠄"}},"key":"2B09"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠁⠄"}},"key":"2B0A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠃⠄"}},"key":"2B0B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠉⠄"}},"key":"2B0C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠙⠄"}},"key":"2B0D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠑⠄"}},"key":"2B0E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠋⠄"}},"key":"2B0F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠴⠄"}},"key":"2B10"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠂⠄"}},"key":"2B11"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠴⠄"}},"key":"2B30"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠂⠄"}},"key":"2B31"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠆⠄"}},"key":"2B32"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠒⠄"}},"key":"2B33"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠲⠄"}},"key":"2B34"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠢⠄"}},"key":"2B35"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠖⠄"}},"key":"2B36"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠶⠄"}},"key":"2B37"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠦⠄"}},"key":"2B38"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠔⠄"}},"key":"2B39"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠁⠄"}},"key":"2B3A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠃⠄"}},"key":"2B3B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠉⠄"}},"key":"2B3C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠙⠄"}},"key":"2B3D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠑⠄"}},"key":"2B3E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠋⠄"}},"key":"2B3F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠴⠄"}},"key":"2B40"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠂⠄"}},"key":"2B41"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠆⠄"}},"key":"2B42"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠒⠄"}},"key":"2B43"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠲⠄"}},"key":"2B44"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠢⠄"}},"key":"2B45"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠖⠄"}},"key":"2B46"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠶⠄"}},"key":"2B47"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠦⠄"}},"key":"2B48"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠔⠄"}},"key":"2B49"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠁⠄"}},"key":"2B4A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠃⠄"}},"key":"2B4B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠉⠄"}},"key":"2B4C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠔⠄"}},"key":"FFE9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠁⠄"}},"key":"FFEA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠃⠄"}},"key":"FFEB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠉⠄"}},"key":"FFEC"}]
+,
+"nemeth/symbols/math_characters.js": 
+[{"locale":"nemeth"},{"category":"Ll","mappings":{"default":{"default":"⠈⠇"}},"key":"2113"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠦⠄"}},"key":"2118"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠉⠄"}},"key":"213C"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠙⠄"}},"key":"213D"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠑⠄"}},"key":"213E"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠋⠄"}},"key":"213F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠴⠄"}},"key":"2140"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠢⠄"}},"key":"2145"},{"category":"Ll","mappings":{"default":{"default":"⠙"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"⠑"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠦⠄"}},"key":"2148"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠔⠄"}},"key":"2149"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠖⠁⠲⠄"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠖⠁⠢⠄"}},"key":"1D6A5"}]
+,
+"nemeth/symbols/math_delimiters.js": 
+[{"locale":"nemeth"},{"category":"Ps","mappings":{"default":{"default":"⠷"}},"key":"0028"},{"category":"Pe","mappings":{"default":{"default":"⠾"}},"key":"0029"},{"category":"Ps","mappings":{"default":{"default":"⠈⠷"}},"key":"005B"},{"category":"Pe","mappings":{"default":{"default":"⠈⠾"}},"key":"005D"},{"category":"Ps","mappings":{"default":{"default":"⠨⠷"}},"key":"007B"},{"category":"Pe","mappings":{"default":{"default":"⠨⠾"}},"key":"007D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠢⠄"}},"key":"2045"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠖⠄"}},"key":"2046"},{"category":"Sm","mappings":{"default":{"default":"⠈⠘⠷"}},"key":"2308"},{"category":"Sm","mappings":{"default":{"default":"⠈⠘⠾"}},"key":"2309"},{"category":"Sm","mappings":{"default":{"default":"⠈⠰⠷"}},"key":"230A"},{"category":"Sm","mappings":{"default":{"default":"⠈⠰⠾"}},"key":"230B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠉⠄"}},"key":"230C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠙⠄"}},"key":"230D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠑⠄"}},"key":"230E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠋⠄"}},"key":"230F"},{"category":"So","mappings":{"default":{"default":"⠈⠘⠷"}},"key":"231C"},{"category":"So","mappings":{"default":{"default":"⠈⠘⠾"}},"key":"231D"},{"category":"So","mappings":{"default":{"default":"⠈⠰⠷"}},"key":"231E"},{"category":"So","mappings":{"default":{"default":"⠈⠰⠾"}},"key":"231F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠆⠴⠄"}},"key":"2320"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠆⠂⠄"}},"key":"2321"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠷"}},"key":"2329"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠾"}},"key":"232A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠃⠄"}},"key":"239B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠉⠄"}},"key":"239C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠙⠄"}},"key":"239D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠑⠄"}},"key":"239E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠋⠄"}},"key":"239F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠴⠄"}},"key":"23A0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠂⠄"}},"key":"23A1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠆⠄"}},"key":"23A2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠒⠄"}},"key":"23A3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠲⠄"}},"key":"23A4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠢⠄"}},"key":"23A5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠖⠄"}},"key":"23A6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠶⠄"}},"key":"23A7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠦⠄"}},"key":"23A8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠔⠄"}},"key":"23A9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠁⠄"}},"key":"23AA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠃⠄"}},"key":"23AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠉⠄"}},"key":"23AC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠙⠄"}},"key":"23AD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠑⠄"}},"key":"23AE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠋⠄"}},"key":"23AF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠴⠄"}},"key":"23B0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠂⠄"}},"key":"23B1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠆⠄"}},"key":"23B2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠒⠄"}},"key":"23B3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠲⠄"}},"key":"23B4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠢⠄"}},"key":"23B5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠖⠄"}},"key":"23B6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠶⠄"}},"key":"23B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠦⠄"}},"key":"23B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠔⠄"}},"key":"23B9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠙⠉⠄"}},"key":"23DC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠙⠙⠄"}},"key":"23DD"},{"category":"Sm","mappings":{"default":{"default":"⠣⠨⠷"}},"key":"23DE"},{"category":"Sm","mappings":{"default":{"default":"⠣⠨⠾"}},"key":"23DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠑⠴⠄"}},"key":"23E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠑⠂⠄"}},"key":"23E1"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠦⠄"}},"key":"2768"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠔⠄"}},"key":"2769"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠁⠄"}},"key":"276A"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠃⠄"}},"key":"276B"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠉⠄"}},"key":"276C"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠙⠄"}},"key":"276D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠑⠄"}},"key":"276E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠋⠄"}},"key":"276F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠴⠄"}},"key":"2770"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠂⠄"}},"key":"2771"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠆⠄"}},"key":"2772"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠒⠄"}},"key":"2773"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠲⠄"}},"key":"2774"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠢⠄"}},"key":"2775"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠢⠄"}},"key":"27C5"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠖⠄"}},"key":"27C6"},{"category":"Ps","mappings":{"default":{"default":"⠈⠸⠷"}},"key":"27E6"},{"category":"Pe","mappings":{"default":{"default":"⠈⠸⠾"}},"key":"27E7"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠷"}},"key":"27E8"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠾"}},"key":"27E9"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠨⠷"}},"key":"27EA"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠨⠾"}},"key":"27EB"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠉⠄"}},"key":"27EC"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠙⠄"}},"key":"27ED"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠑⠄"}},"key":"27EE"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠋⠄"}},"key":"27EF"},{"category":"Ps","mappings":{"default":{"default":"⠨⠸⠷"}},"key":"2983"},{"category":"Pe","mappings":{"default":{"default":"⠨⠸⠾"}},"key":"2984"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠢⠄"}},"key":"2985"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠖⠄"}},"key":"2986"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠶⠄"}},"key":"2987"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠦⠄"}},"key":"2988"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠔⠄"}},"key":"2989"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠁⠄"}},"key":"298A"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠃⠄"}},"key":"298B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠉⠄"}},"key":"298C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠙⠄"}},"key":"298D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠑⠄"}},"key":"298E"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠋⠄"}},"key":"298F"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠴⠄"}},"key":"2990"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠂⠄"}},"key":"2991"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠆⠄"}},"key":"2992"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠒⠄"}},"key":"2993"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠲⠄"}},"key":"2994"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠢⠄"}},"key":"2995"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠖⠄"}},"key":"2996"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠶⠄"}},"key":"2997"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠦⠄"}},"key":"2998"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠦⠄"}},"key":"29D8"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠔⠄"}},"key":"29D9"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠁⠄"}},"key":"29DA"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠃⠄"}},"key":"29DB"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠉⠄"}},"key":"29FC"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠙⠄"}},"key":"29FD"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠆⠄"}},"key":"2E22"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠒⠄"}},"key":"2E23"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠲⠄"}},"key":"2E24"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠢⠄"}},"key":"2E25"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠖⠄"}},"key":"2E26"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠶⠄"}},"key":"2E27"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠦⠄"}},"key":"2E28"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠔⠄"}},"key":"2E29"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠷"}},"key":"3008"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠾"}},"key":"3009"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠨⠷"}},"key":"300A"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠨⠾"}},"key":"300B"},{"category":"Ps","mappings":{"default":{"default":"⠈⠘⠷"}},"key":"300C"},{"category":"Pe","mappings":{"default":{"default":"⠈⠘⠾"}},"key":"300D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠴⠑⠄"}},"key":"300E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠴⠋⠄"}},"key":"300F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠴⠄"}},"key":"3010"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠂⠄"}},"key":"3011"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠲⠄"}},"key":"3014"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠢⠄"}},"key":"3015"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠖⠄"}},"key":"3016"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠶⠄"}},"key":"3017"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠦⠄"}},"key":"3018"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠔⠄"}},"key":"3019"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠁⠄"}},"key":"301A"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠃⠄"}},"key":"301B"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠙⠄"}},"key":"301D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠑⠄"}},"key":"301E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠋⠄"}},"key":"301F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠙⠒⠑⠄"}},"key":"FD3E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠙⠒⠋⠄"}},"key":"FD3F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠶⠄"}},"key":"FE17"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠦⠄"}},"key":"FE18"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠢⠄"}},"key":"FE35"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠖⠄"}},"key":"FE36"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠶⠄"}},"key":"FE37"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠦⠄"}},"key":"FE38"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠔⠄"}},"key":"FE39"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠁⠄"}},"key":"FE3A"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠃⠄"}},"key":"FE3B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠉⠄"}},"key":"FE3C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠙⠄"}},"key":"FE3D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠑⠄"}},"key":"FE3E"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠋⠄"}},"key":"FE3F"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠴⠄"}},"key":"FE40"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠂⠄"}},"key":"FE41"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠆⠄"}},"key":"FE42"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠒⠄"}},"key":"FE43"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠲⠄"}},"key":"FE44"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠶⠄"}},"key":"FE47"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠦⠄"}},"key":"FE48"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠔⠄"}},"key":"FE59"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠁⠄"}},"key":"FE5A"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠃⠄"}},"key":"FE5B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠉⠄"}},"key":"FE5C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠙⠄"}},"key":"FE5D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠑⠄"}},"key":"FE5E"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠦⠄"}},"key":"FF08"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠔⠄"}},"key":"FF09"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠃⠄"}},"key":"FF3B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠙⠄"}},"key":"FF3D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠃⠄"}},"key":"FF5B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠙⠄"}},"key":"FF5D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠋⠄"}},"key":"FF5F"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠖⠴⠄"}},"key":"FF60"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠖⠆⠄"}},"key":"FF62"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠖⠒⠄"}},"key":"FF63"}]
+,
+"nemeth/symbols/math_geometry.js": 
+[{"locale":"nemeth"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠴⠄"}},"key":"2500"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠂⠄"}},"key":"2501"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠆⠄"}},"key":"2502"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠒⠄"}},"key":"2503"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠲⠄"}},"key":"2504"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠢⠄"}},"key":"2505"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠖⠄"}},"key":"2506"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠶⠄"}},"key":"2507"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠦⠄"}},"key":"2508"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠔⠄"}},"key":"2509"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠁⠄"}},"key":"250A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠃⠄"}},"key":"250B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠉⠄"}},"key":"250C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠙⠄"}},"key":"250D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠑⠄"}},"key":"250E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠋⠄"}},"key":"250F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠴⠄"}},"key":"2510"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠂⠄"}},"key":"2511"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠆⠄"}},"key":"2512"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠒⠄"}},"key":"2513"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠲⠄"}},"key":"2514"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠢⠄"}},"key":"2515"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠖⠄"}},"key":"2516"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠶⠄"}},"key":"2517"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠦⠄"}},"key":"2518"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠔⠄"}},"key":"2519"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠁⠄"}},"key":"251A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠃⠄"}},"key":"251B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠉⠄"}},"key":"251C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠙⠄"}},"key":"251D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠑⠄"}},"key":"251E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠋⠄"}},"key":"251F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠴⠄"}},"key":"2520"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠂⠄"}},"key":"2521"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠆⠄"}},"key":"2522"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠒⠄"}},"key":"2523"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠲⠄"}},"key":"2524"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠢⠄"}},"key":"2525"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠖⠄"}},"key":"2526"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠶⠄"}},"key":"2527"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠦⠄"}},"key":"2528"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠔⠄"}},"key":"2529"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠁⠄"}},"key":"252A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠃⠄"}},"key":"252B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠉⠄"}},"key":"252C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠙⠄"}},"key":"252D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠑⠄"}},"key":"252E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠋⠄"}},"key":"252F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠴⠄"}},"key":"2530"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠂⠄"}},"key":"2531"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠆⠄"}},"key":"2532"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠒⠄"}},"key":"2533"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠲⠄"}},"key":"2534"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠢⠄"}},"key":"2535"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠖⠄"}},"key":"2536"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠶⠄"}},"key":"2537"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠦⠄"}},"key":"2538"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠔⠄"}},"key":"2539"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠁⠄"}},"key":"253A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠃⠄"}},"key":"253B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠉⠄"}},"key":"253C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠙⠄"}},"key":"253D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠑⠄"}},"key":"253E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠋⠄"}},"key":"253F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠴⠄"}},"key":"2540"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠂⠄"}},"key":"2541"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠆⠄"}},"key":"2542"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠒⠄"}},"key":"2543"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠲⠄"}},"key":"2544"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠢⠄"}},"key":"2545"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠖⠄"}},"key":"2546"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠶⠄"}},"key":"2547"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠦⠄"}},"key":"2548"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠔⠄"}},"key":"2549"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠁⠄"}},"key":"254A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠃⠄"}},"key":"254B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠉⠄"}},"key":"254C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠙⠄"}},"key":"254D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠑⠄"}},"key":"254E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠋⠄"}},"key":"254F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠴⠄"}},"key":"2550"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠂⠄"}},"key":"2551"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠆⠄"}},"key":"2552"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠒⠄"}},"key":"2553"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠲⠄"}},"key":"2554"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠢⠄"}},"key":"2555"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠖⠄"}},"key":"2556"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠶⠄"}},"key":"2557"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠦⠄"}},"key":"2558"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠔⠄"}},"key":"2559"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠁⠄"}},"key":"255A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠃⠄"}},"key":"255B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠉⠄"}},"key":"255C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠙⠄"}},"key":"255D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠑⠄"}},"key":"255E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠋⠄"}},"key":"255F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠴⠄"}},"key":"2560"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠂⠄"}},"key":"2561"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠆⠄"}},"key":"2562"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠒⠄"}},"key":"2563"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠲⠄"}},"key":"2564"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠢⠄"}},"key":"2565"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠖⠄"}},"key":"2566"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠶⠄"}},"key":"2567"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠦⠄"}},"key":"2568"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠔⠄"}},"key":"2569"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠁⠄"}},"key":"256A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠃⠄"}},"key":"256B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠉⠄"}},"key":"256C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠙⠄"}},"key":"256D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠑⠄"}},"key":"256E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠋⠄"}},"key":"256F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠴⠄"}},"key":"2570"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠂⠄"}},"key":"2571"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠆⠄"}},"key":"2572"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠒⠄"}},"key":"2573"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠲⠄"}},"key":"2574"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠢⠄"}},"key":"2575"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠖⠄"}},"key":"2576"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠶⠄"}},"key":"2577"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠦⠄"}},"key":"2578"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠔⠄"}},"key":"2579"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠁⠄"}},"key":"257A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠃⠄"}},"key":"257B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠉⠄"}},"key":"257C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠙⠄"}},"key":"257D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠑⠄"}},"key":"257E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠋⠄"}},"key":"257F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠴⠄"}},"key":"2580"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠂⠄"}},"key":"2581"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠆⠄"}},"key":"2582"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠒⠄"}},"key":"2583"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠲⠄"}},"key":"2584"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠢⠄"}},"key":"2585"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠖⠄"}},"key":"2586"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠶⠄"}},"key":"2587"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠦⠄"}},"key":"2588"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠔⠄"}},"key":"2589"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠁⠄"}},"key":"258A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠃⠄"}},"key":"258B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠉⠄"}},"key":"258C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠙⠄"}},"key":"258D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠑⠄"}},"key":"258E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠋⠄"}},"key":"258F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠴⠄"}},"key":"2590"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠂⠄"}},"key":"2591"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠆⠄"}},"key":"2592"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠒⠄"}},"key":"2593"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠲⠄"}},"key":"2594"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠢⠄"}},"key":"2595"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠖⠄"}},"key":"2596"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠶⠄"}},"key":"2597"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠦⠄"}},"key":"2598"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠔⠄"}},"key":"2599"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠁⠄"}},"key":"259A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠃⠄"}},"key":"259B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠉⠄"}},"key":"259C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠙⠄"}},"key":"259D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠑⠄"}},"key":"259E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠋⠄"}},"key":"259F"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠲"}},"key":"25A0"},{"category":"So","mappings":{"default":{"default":"⠫⠲"}},"key":"25A1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠆⠄"}},"key":"25A2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠒⠄"}},"key":"25A3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠲⠄"}},"key":"25A4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠢⠄"}},"key":"25A5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠖⠄"}},"key":"25A6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠶⠄"}},"key":"25A7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠦⠄"}},"key":"25A8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠔⠄"}},"key":"25A9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠁⠄"}},"key":"25AA"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠗"}},"key":"25AB"},{"category":"So","mappings":{"default":{"default":"⠫⠗"}},"key":"25AC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠙⠄"}},"key":"25AD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠑⠄"}},"key":"25AE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠋⠄"}},"key":"25AF"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠛"}},"key":"25B0"},{"category":"So","mappings":{"default":{"default":"⠫⠛"}},"key":"25B1"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠞"}},"key":"25B2"},{"category":"So","mappings":{"default":{"default":"⠫⠞"}},"key":"25B3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠲⠄"}},"key":"25B4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠢⠄"}},"key":"25B5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠖⠄"}},"key":"25B6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠶⠄"}},"key":"25B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠦⠄"}},"key":"25B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠔⠄"}},"key":"25B9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠁⠄"}},"key":"25BA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠃⠄"}},"key":"25BB"},{"category":"So","mappings":{"default":{"default":"⠸⠨⠫"}},"key":"25BC"},{"category":"So","mappings":{"default":{"default":"⠨⠫"}},"key":"25BD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠑⠄"}},"key":"25BE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠋⠄"}},"key":"25BF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠴⠄"}},"key":"25C0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠂⠄"}},"key":"25C1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠆⠄"}},"key":"25C2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠒⠄"}},"key":"25C3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠲⠄"}},"key":"25C4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠢⠄"}},"key":"25C5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠖⠄"}},"key":"25C6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠶⠄"}},"key":"25C7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠦⠄"}},"key":"25C8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠔⠄"}},"key":"25C9"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠉"}},"key":"25CA"},{"category":"So","mappings":{"default":{"default":"⠫⠉"}},"key":"25CB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠉⠄"}},"key":"25CC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠙⠄"}},"key":"25CD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠑⠄"}},"key":"25CE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠋⠄"}},"key":"25CF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠴⠄"}},"key":"25D0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠂⠄"}},"key":"25D1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠆⠄"}},"key":"25D2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠒⠄"}},"key":"25D3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠲⠄"}},"key":"25D4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠢⠄"}},"key":"25D5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠖⠄"}},"key":"25D6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠶⠄"}},"key":"25D7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠦⠄"}},"key":"25D8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠔⠄"}},"key":"25D9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠁⠄"}},"key":"25DA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠃⠄"}},"key":"25DB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠉⠄"}},"key":"25DC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠙⠄"}},"key":"25DD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠑⠄"}},"key":"25DE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠋⠄"}},"key":"25DF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠴⠄"}},"key":"25E0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠂⠄"}},"key":"25E1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠆⠄"}},"key":"25E2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠒⠄"}},"key":"25E3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠲⠄"}},"key":"25E4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠢⠄"}},"key":"25E5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠖⠄"}},"key":"25E6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠶⠄"}},"key":"25E7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠦⠄"}},"key":"25E8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠔⠄"}},"key":"25E9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠁⠄"}},"key":"25EA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠃⠄"}},"key":"25EB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠉⠄"}},"key":"25EC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠙⠄"}},"key":"25ED"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠑⠄"}},"key":"25EE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠋⠄"}},"key":"25EF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠴⠄"}},"key":"25F0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠂⠄"}},"key":"25F1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠆⠄"}},"key":"25F2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠒⠄"}},"key":"25F3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠲⠄"}},"key":"25F4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠢⠄"}},"key":"25F5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠖⠄"}},"key":"25F6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠶⠄"}},"key":"25F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠦⠄"}},"key":"25F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠔⠄"}},"key":"25F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠁⠄"}},"key":"25FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠃⠄"}},"key":"25FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠉⠄"}},"key":"25FC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠙⠄"}},"key":"25FD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠑⠄"}},"key":"25FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠋⠄"}},"key":"25FF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠆⠄"}},"key":"2B12"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠒⠄"}},"key":"2B13"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠲⠄"}},"key":"2B14"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠢⠄"}},"key":"2B15"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠖⠄"}},"key":"2B16"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠶⠄"}},"key":"2B17"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠦⠄"}},"key":"2B18"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠔⠄"}},"key":"2B19"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠁⠄"}},"key":"2B1A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠃⠄"}},"key":"2B1B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠉⠄"}},"key":"2B1C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠙⠄"}},"key":"2B1D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠑⠄"}},"key":"2B1E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠋⠄"}},"key":"2B1F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠴⠄"}},"key":"2B20"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠂⠄"}},"key":"2B21"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠆⠄"}},"key":"2B22"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠒⠄"}},"key":"2B23"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠲⠄"}},"key":"2B24"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠢⠄"}},"key":"2B25"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠖⠄"}},"key":"2B26"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠶⠄"}},"key":"2B27"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠦⠄"}},"key":"2B28"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠔⠄"}},"key":"2B29"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠁⠄"}},"key":"2B2A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠃⠄"}},"key":"2B2B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠉⠄"}},"key":"2B2C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠙⠄"}},"key":"2B2D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠑⠄"}},"key":"2B2E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠋⠄"}},"key":"2B2F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠴⠄"}},"key":"2B50"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠂⠄"}},"key":"2B51"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠆⠄"}},"key":"2B52"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠒⠄"}},"key":"2B53"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠲⠄"}},"key":"2B54"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠢⠄"}},"key":"2B55"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠖⠄"}},"key":"2B56"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠶⠄"}},"key":"2B57"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠦⠄"}},"key":"2B58"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠔⠄"}},"key":"2B59"}]
+,
+"nemeth/symbols/math_harpoons.js": 
+[{"locale":"nemeth"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠈⠪⠒⠒⠀"}},"key":"21BC"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠠⠪⠒⠒⠀"}},"key":"21BD"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠠⠕⠀"}},"key":"21BE"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠈⠕⠀"}},"key":"21BF"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠈⠕⠀"}},"key":"21C0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠠⠕⠀"}},"key":"21C1"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠈⠕⠀"}},"key":"21C2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠠⠕⠀"}},"key":"21C3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠈⠪⠒⠒⠫⠒⠒⠈⠕⠀"}},"key":"21CB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠈⠕⠫⠈⠪⠒⠒⠀"}},"key":"21CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠁⠄"}},"key":"294A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠃⠄"}},"key":"294B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠉⠄"}},"key":"294C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠙⠄"}},"key":"294D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠑⠄"}},"key":"294E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠋⠄"}},"key":"294F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠴⠄"}},"key":"2950"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠂⠄"}},"key":"2951"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠆⠄"}},"key":"2952"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠒⠄"}},"key":"2953"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠲⠄"}},"key":"2954"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠢⠄"}},"key":"2955"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠖⠄"}},"key":"2956"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠶⠄"}},"key":"2957"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠦⠄"}},"key":"2958"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠔⠄"}},"key":"2959"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠁⠄"}},"key":"295A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠃⠄"}},"key":"295B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠉⠄"}},"key":"295C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠙⠄"}},"key":"295D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠑⠄"}},"key":"295E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠋⠄"}},"key":"295F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠴⠄"}},"key":"2960"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠂⠄"}},"key":"2961"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠆⠄"}},"key":"2962"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠒⠄"}},"key":"2963"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠲⠄"}},"key":"2964"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠢⠄"}},"key":"2965"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠖⠄"}},"key":"2966"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠶⠄"}},"key":"2967"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠦⠄"}},"key":"2968"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠔⠄"}},"key":"2969"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠁⠄"}},"key":"296A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠃⠄"}},"key":"296B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠉⠄"}},"key":"296C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠙⠄"}},"key":"296D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠑⠄"}},"key":"296E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠋⠄"}},"key":"296F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠉⠄"}},"key":"297C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠙⠄"}},"key":"297D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠑⠄"}},"key":"297E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠋⠄"}},"key":"297F"}]
+,
+"nemeth/symbols/math_non_characters.js": 
+[{"locale":"nemeth"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠴⠋⠄"}},"key":"210F"},{"category":"So","mappings":{"default":{"default":"⠳"}},"key":"2114"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠖⠄"}},"key":"2116"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠶⠄"}},"key":"2117"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠑⠄"}},"key":"211E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠋⠄"}},"key":"211F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠴⠄"}},"key":"2120"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠂⠄"}},"key":"2121"},{"category":"So","mappings":{"default":{"default":"⠘⠞"}},"key":"2122"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠒⠄"}},"key":"2123"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠢⠄"}},"key":"2125"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠖⠄"}},"key":"2126"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠶⠄"}},"key":"2127"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠁⠄"}},"key":"212A"},{"category":"Lu","mappings":{"default":{"default":"⠀⠈⠠⠁"}},"key":"212B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠑⠄"}},"key":"212E"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠆⠄"}},"key":"2132"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠔⠄"}},"key":"2139"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠁⠄"}},"key":"213A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠃⠄"}},"key":"213B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠂⠄"}},"key":"2141"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠆⠄"}},"key":"2142"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠒⠄"}},"key":"2143"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠲⠄"}},"key":"2144"}]
+,
+"nemeth/symbols/math_symbols.js": 
+[{"locale":"nemeth"},{"category":"Po","mappings":{"default":{"default":"⠖"}},"key":"0021"},{"category":"Po","mappings":{"default":{"default":"⠹"}},"key":"0022"},{"category":"Po","mappings":{"default":{"default":"⠨⠼"}},"key":"0023"},{"category":"Sc","mappings":{"default":{"default":"⠈⠎"}},"key":"0024"},{"category":"Po","mappings":{"default":{"default":"⠈⠴"}},"key":"0025"},{"category":"Po","mappings":{"default":{"default":"⠸⠯"}},"key":"0026"},{"category":"Po","mappings":{"default":{"default":"⠄"}},"key":"0027"},{"category":"Po","mappings":{"default":{"default":"⠈⠼"}},"key":"002A"},{"category":"Sm","mappings":{"default":{"default":"⠬"}},"key":"002B"},{"category":"Po","mappings":{"default":{"default":"⠠","defaultLibLouis":"⠠⠀"}},"key":"002C"},{"category":"Pd","mappings":{"default":{"default":"⠤"}},"key":"002D"},{"category":"Po","mappings":{"default":{"default":"⠨","other":"⠲"}},"key":"002E"},{"category":"Po","mappings":{"default":{"default":"⠸⠌"}},"key":"002F"},{"category":"Po","mappings":{"default":{"default":"⠒"}},"key":"003A"},{"category":"Po","mappings":{"default":{"default":"⠆"}},"key":"003B"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠀"}},"key":"003C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠅⠀"}},"key":"003D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠀"}},"key":"003E"},{"category":"Po","mappings":{"default":{"default":"⠸⠦"}},"key":"003F"},{"category":"Po","mappings":{"default":{"default":"⠈⠁"}},"key":"0040"},{"category":"Po","mappings":{"default":{"default":"⠸⠡"}},"key":"005C"},{"category":"Sk","mappings":{"default":{"default":"⡘"}},"key":"005E"},{"category":"Pc","mappings":{"default":{"default":"⠸"}},"key":"005F"},{"category":"Sk","mappings":{"default":{"default":"⠈"}},"key":"0060"},{"category":"Sm","mappings":{"default":{"default":"⠳"}},"key":"007C"},{"category":"Sm","mappings":{"default":{"default":"⠈⠱"}},"key":"007E"},{"category":"Po","mappings":{"default":{"default":"⠖"}},"key":"00A1"},{"category":"Sc","mappings":{"default":{"default":"⠈⠉"}},"key":"00A2"},{"category":"Sc","mappings":{"default":{"default":"⠼"}},"key":"00A3"},{"category":"Sc","mappings":{"default":{"default":"⠫"}},"key":"00A4"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠢⠄"}},"key":"00A5"},{"category":"So","mappings":{"default":{"default":"⠸⠳"}},"key":"00A6"},{"category":"Po","mappings":{"default":{"default":"⠈⠠⠎"}},"key":"00A7"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠦⠄"}},"key":"00A8"},{"category":"So","mappings":{"default":{"default":"⠘⠉"}},"key":"00A9"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠁⠄"}},"key":"00AA"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠃⠄"}},"key":"00AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠉⠄"}},"key":"00AC"},{"category":"So","mappings":{"default":{"default":"⠘⠗"}},"key":"00AE"},{"category":"Sk","mappings":{"default":{"default":"⠱"}},"key":"00AF"},{"category":"So","mappings":{"default":{"default":"⠘⠨⠡"}},"key":"00B0"},{"category":"Sm","mappings":{"default":{"default":"⠬⠤"}},"key":"00B1"},{"category":"Sk","mappings":{"default":{"default":"⠈"}},"key":"00B4"},{"category":"Ll","mappings":{"default":{"default":"⠨⠍"}},"key":"00B5"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠖⠄"}},"key":"00B6"},{"category":"Po","mappings":{"default":{"default":"⠡"}},"key":"00B7"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠦⠄"}},"key":"00B8"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠁⠄"}},"key":"00BA"},{"category":"Pf","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠃⠄"}},"key":"00BB"},{"category":"Po","mappings":{"default":{"default":"⠦"}},"key":"00BF"},{"category":"Sm","mappings":{"default":{"default":"⠈⠡"}},"key":"00D7"},{"category":"Sm","mappings":{"default":{"default":"⠈⠌"}},"key":"00F7"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠦⠄"}},"key":"02D8"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠔⠄"}},"key":"02D9"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠁⠄"}},"key":"02DA"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠃⠄"}},"key":"02DB"},{"category":"Sk","mappings":{"default":{"default":"⠈⠱"}},"key":"02DC"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠙⠄"}},"key":"02DD"},{"category":"Pd","mappings":{"default":{"default":"⠤"}},"key":"2010"},{"category":"Pd","mappings":{"default":{"default":"⠤"}},"key":"2011"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2012"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2013"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2014"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2015"},{"category":"Po","mappings":{"default":{"default":"⠳⠳"}},"key":"2016"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠶⠄"}},"key":"2017"},{"category":"Pi","mappings":{"default":{"default":"⠠⠦"}},"key":"2018"},{"category":"Pf","mappings":{"default":{"default":"⠄"}},"key":"2019"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠁⠄"}},"key":"201A"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠃⠄"}},"key":"201B"},{"category":"Pi","mappings":{"default":{"default":"⠦"}},"key":"201C"},{"category":"Pf","mappings":{"default":{"default":"⠴"}},"key":"201D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠑⠄"}},"key":"201E"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠋⠄"}},"key":"201F"},{"category":"Po","mappings":{"default":{"default":"⠸⠻"}},"key":"2020"},{"category":"Po","mappings":{"default":{"default":"⠸⠸⠻"}},"key":"2021"},{"category":"Po","mappings":{"default":{"default":"⠔⠔"}},"key":"2022"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠒⠄"}},"key":"2023"},{"category":"Po","mappings":{"default":{"default":"⠄"}},"key":"2024"},{"category":"Po","mappings":{"default":{"default":"⠄⠄"}},"key":"2025"},{"category":"Po","mappings":{"default":{"default":"⠄⠄⠄"}},"key":"2026"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠶⠄"}},"key":"2027"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠴⠄"}},"key":"2030"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠂⠄"}},"key":"2031"},{"category":"Po","mappings":{"default":{"default":"⠄"}},"key":"2032"},{"category":"Po","mappings":{"default":{"default":"⠄⠄"}},"key":"2033"},{"category":"Po","mappings":{"default":{"default":"⠄⠄⠄"}},"key":"2034"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠢⠄"}},"key":"2035"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠖⠄"}},"key":"2036"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠶⠄"}},"key":"2037"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠦⠄"}},"key":"2038"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠔⠄"}},"key":"2039"},{"category":"Pf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠁⠄"}},"key":"203A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠃⠄"}},"key":"203B"},{"category":"Po","mappings":{"default":{"default":"⠖⠖"}},"key":"203C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠙⠄"}},"key":"203D"},{"category":"Po","mappings":{"default":{"default":"⠱"}},"key":"203E"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠋⠄"}},"key":"203F"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠴⠄"}},"key":"2040"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠂⠄"}},"key":"2041"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠆⠄"}},"key":"2042"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠒⠄"}},"key":"2043"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠲⠄"}},"key":"2044"},{"category":"Po","mappings":{"default":{"default":"⠹⠹"}},"key":"2047"},{"category":"Po","mappings":{"default":{"default":"⠹⠖"}},"key":"2048"},{"category":"Po","mappings":{"default":{"default":"⠖⠹"}},"key":"2049"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠃⠄"}},"key":"204B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠉⠄"}},"key":"204C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠙⠄"}},"key":"204D"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠑⠄"}},"key":"204E"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠋⠄"}},"key":"204F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠴⠄"}},"key":"2050"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠂⠄"}},"key":"2051"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠆⠄"}},"key":"2052"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠒⠄"}},"key":"2053"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠲⠄"}},"key":"2054"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠢⠄"}},"key":"2055"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠖⠄"}},"key":"2056"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠶⠄"}},"key":"2057"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠦⠄"}},"key":"2058"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠔⠄"}},"key":"2059"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠁⠄"}},"key":"205A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠃⠄"}},"key":"205B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠉⠄"}},"key":"205C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠙⠄"}},"key":"205D"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠑⠄"}},"key":"205E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠁⠄"}},"key":"207A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠃⠄"}},"key":"207B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠉⠄"}},"key":"207C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠙⠄"}},"key":"207D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠑⠄"}},"key":"207E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠁⠄"}},"key":"208A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠃⠄"}},"key":"208B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠉⠄"}},"key":"208C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠙⠄"}},"key":"208D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠑⠄"}},"key":"208E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠁⠄"}},"key":"214A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠃⠄"}},"key":"214B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠉⠄"}},"key":"214C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠙⠄"}},"key":"214D"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠑⠄"}},"key":"214E"},{"category":"Sm","mappings":{"default":{"default":"⠈⠯"}},"key":"2200"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠴⠂⠄"}},"key":"2201"},{"category":"Sm","mappings":{"default":{"default":"⠈⠿"}},"key":"2203"},{"category":"Sm","mappings":{"default":{"default":"⠌⠈⠿"}},"key":"2204"},{"category":"Sm","mappings":{"default":{"default":"⠸⠴"}},"key":"2205"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠴⠖⠄"}},"key":"2206"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠑⠀"}},"key":"2208"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠈⠑⠀"}},"key":"2209"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠑⠀"}},"key":"220A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠨⠁⠀"}},"key":"220B"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠨⠁⠀"}},"key":"220C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠢⠀"}},"key":"220D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠳⠀"}},"key":"220E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠴⠋⠄"}},"key":"220F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠴⠄"}},"key":"2210"},{"category":"Sm","mappings":{"default":{"default":"⠨⠠⠎"}},"key":"2211"},{"category":"Sm","mappings":{"default":{"default":"⠤"}},"key":"2212"},{"category":"Sm","mappings":{"default":{"default":"⠤⠬"}},"key":"2213"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠲⠄"}},"key":"2214"},{"category":"Sm","mappings":{"default":{"default":"⠸⠌"}},"key":"2215"},{"category":"Sm","mappings":{"default":{"default":"⠸⠡"}},"key":"2216"},{"category":"Sm","mappings":{"default":{"default":"⠈⠼"}},"key":"2217"},{"category":"Sm","mappings":{"default":{"default":"⠘⠨⠡"}},"key":"2218"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠔⠄"}},"key":"2219"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠁⠄"}},"key":"221A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠃⠄"}},"key":"221B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠉⠄"}},"key":"221C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠰⠆⠀"}},"key":"221D"},{"category":"Sm","mappings":{"default":{"default":"⠠⠿"}},"key":"221E"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪⠨⠗⠻"}},"key":"221F"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪"}},"key":"2220"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪⠸⠫⠫⠁⠻"}},"key":"2221"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪⠸⠫⠫⠁⠻"}},"key":"2222"},{"category":"Sm","mappings":{"default":{"default":"⠳"}},"key":"2223"},{"category":"Sm","mappings":{"default":{"default":"⠌⠳"}},"key":"2224"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠇⠀"}},"key":"2225"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠫⠇⠀"}},"key":"2226"},{"category":"Sm","mappings":{"default":{"default":"⠈⠩"}},"key":"2227"},{"category":"Sm","mappings":{"default":{"default":"⠈⠬"}},"key":"2228"},{"category":"Sm","mappings":{"default":{"default":"⠨⠩"}},"key":"2229"},{"category":"Sm","mappings":{"default":{"default":"⠨⠬"}},"key":"222A"},{"category":"Sm","mappings":{"default":{"default":"⠮"}},"key":"222B"},{"category":"Sm","mappings":{"default":{"default":"⠮⠮"}},"key":"222C"},{"category":"Sm","mappings":{"default":{"default":"⠮⠮⠮"}},"key":"222D"},{"category":"Sm","mappings":{"default":{"default":"⠮⠈⠫⠉⠻"}},"key":"222E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠆⠋⠄"}},"key":"222F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠴⠄"}},"key":"2230"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠂⠄"}},"key":"2231"},{"category":"Sm","mappings":{"default":{"default":"⠮⠈⠫⠪⠢⠔⠻"}},"key":"2232"},{"category":"Sm","mappings":{"default":{"default":"⠮⠈⠫⠢⠔⠕⠻"}},"key":"2233"},{"category":"Sm","mappings":{"default":{"default":"⠀⠠⠡⠀"}},"key":"2234"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠌⠀"}},"key":"2235"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠂⠀"}},"key":"2236"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠶⠄"}},"key":"2237"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠦⠄"}},"key":"2238"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠔⠄"}},"key":"2239"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠁⠄"}},"key":"223A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠃⠄"}},"key":"223B"},{"category":"Sm","mappings":{"default":{"default":"⠈⠱"}},"key":"223C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠙⠄"}},"key":"223D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠑⠄"}},"key":"223E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠋⠄"}},"key":"223F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠴⠄"}},"key":"2240"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠂⠄"}},"key":"2241"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠆⠄"}},"key":"2242"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠒⠄"}},"key":"2243"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠲⠄"}},"key":"2244"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠱⠈⠱⠀"}},"key":"2245"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠖⠄"}},"key":"2246"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠶⠄"}},"key":"2247"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠦⠄"}},"key":"2248"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠔⠄"}},"key":"2249"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠁⠄"}},"key":"224A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠃⠄"}},"key":"224B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠉⠄"}},"key":"224C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠣⠠⠣⠀"}},"key":"224D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠑⠄"}},"key":"224E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠋⠄"}},"key":"224F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠴⠄"}},"key":"2250"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠂⠄"}},"key":"2251"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠆⠄"}},"key":"2252"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠒⠄"}},"key":"2253"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠲⠄"}},"key":"2254"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠢⠄"}},"key":"2255"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠖⠄"}},"key":"2256"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠶⠄"}},"key":"2257"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠦⠄"}},"key":"2258"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠔⠄"}},"key":"2259"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠁⠄"}},"key":"225A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠃⠄"}},"key":"225B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠉⠄"}},"key":"225C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠙⠄"}},"key":"225D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠑⠄"}},"key":"225E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠋⠄"}},"key":"225F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠅⠀"}},"key":"2260"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠇⠀"}},"key":"2261"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠇⠀"}},"key":"2262"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠖⠒⠄"}},"key":"2263"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠱⠀"}},"key":"2264"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠱⠀"}},"key":"2265"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠨⠅⠀"}},"key":"2266"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠨⠅⠀"}},"key":"2267"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠌⠨⠅⠀"}},"key":"2268"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠌⠨⠅⠀"}},"key":"2269"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠈⠐⠅⠻⠀"}},"key":"226A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠈⠨⠂⠻⠀"}},"key":"226B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠖⠉⠄"}},"key":"226C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠈⠣⠠⠣⠀"}},"key":"226D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠀"}},"key":"226E"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠀"}},"key":"226F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠱⠀"}},"key":"2270"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠱⠀"}},"key":"2271"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠈⠱⠀"}},"key":"2272"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠈⠱⠀"}},"key":"2273"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠈⠱⠀"}},"key":"2274"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠈⠱⠀"}},"key":"2275"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠨⠂⠀"}},"key":"2276"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠐⠅⠀"}},"key":"2277"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠨⠂⠀"}},"key":"2278"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠐⠅⠀"}},"key":"2279"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠀"}},"key":"227A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠀"}},"key":"227B"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠱⠀"}},"key":"227C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠱⠀"}},"key":"227D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠈⠱⠀"}},"key":"227E"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠈⠱⠀"}},"key":"227F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠐⠅⠀"}},"key":"2280"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠐⠅⠀"}},"key":"2281"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠐⠅⠀"}},"key":"2282"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠨⠂⠀"}},"key":"2283"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠐⠅⠀"}},"key":"2284"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠨⠂⠀"}},"key":"2285"},{"category":"Sm","mappings":{"default":{"default":"⠸⠀⠅⠱"}},"key":"2286"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠱⠀"}},"key":"2287"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠀⠅⠱⠀"}},"key":"2288"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠱⠀"}},"key":"2289"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠐⠅⠌⠨⠅⠀"}},"key":"228A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠨⠂⠌⠨⠅⠀"}},"key":"228B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠉⠄"}},"key":"228C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠙⠄"}},"key":"228D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠑⠄"}},"key":"228E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠋⠄"}},"key":"228F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠴⠄"}},"key":"2290"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠂⠄"}},"key":"2291"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠆⠄"}},"key":"2292"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠒⠄"}},"key":"2293"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠲⠄"}},"key":"2294"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠬⠻"}},"key":"2295"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠤⠻"}},"key":"2296"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠡⠻"}},"key":"2297"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠸⠌⠻"}},"key":"2298"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠡⠻"}},"key":"2299"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠘⠨⠡⠻"}},"key":"229A"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠼⠻"}},"key":"229B"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠨⠅⠻"}},"key":"229C"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠤⠤⠻"}},"key":"229D"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠬⠻"}},"key":"229E"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠤⠻"}},"key":"229F"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠈⠡⠻"}},"key":"22A0"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠡⠻"}},"key":"22A1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠆⠄"}},"key":"22A2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠒⠄"}},"key":"22A3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠲⠄"}},"key":"22A4"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠏⠀"}},"key":"22A5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠖⠄"}},"key":"22A6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠶⠄"}},"key":"22A7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠦⠄"}},"key":"22A8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠔⠄"}},"key":"22A9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠁⠄"}},"key":"22AA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠃⠄"}},"key":"22AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠉⠄"}},"key":"22AC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠙⠄"}},"key":"22AD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠑⠄"}},"key":"22AE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠋⠄"}},"key":"22AF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠴⠄"}},"key":"22B0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠂⠄"}},"key":"22B1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠆⠄"}},"key":"22B2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠒⠄"}},"key":"22B3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠲⠄"}},"key":"22B4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠢⠄"}},"key":"22B5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠖⠄"}},"key":"22B6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠶⠄"}},"key":"22B7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠦⠄"}},"key":"22B8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠔⠄"}},"key":"22B9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠁⠄"}},"key":"22BA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠃⠄"}},"key":"22BB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠉⠄"}},"key":"22BC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠙⠄"}},"key":"22BD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠋⠄"}},"key":"22BF"},{"category":"Sm","mappings":{"default":{"default":"⠈⠩"}},"key":"22C0"},{"category":"Sm","mappings":{"default":{"default":"⠈⠬"}},"key":"22C1"},{"category":"Sm","mappings":{"default":{"default":"⠨⠩"}},"key":"22C2"},{"category":"Sm","mappings":{"default":{"default":"⠨⠬"}},"key":"22C3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠲⠄"}},"key":"22C4"},{"category":"Sm","mappings":{"default":{"default":"⠡"}},"key":"22C5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠖⠄"}},"key":"22C6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠶⠄"}},"key":"22C7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠦⠄"}},"key":"22C8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠔⠄"}},"key":"22C9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠁⠄"}},"key":"22CA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠃⠄"}},"key":"22CB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠉⠄"}},"key":"22CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠙⠄"}},"key":"22CD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠑⠄"}},"key":"22CE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠋⠄"}},"key":"22CF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠴⠄"}},"key":"22D0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠂⠄"}},"key":"22D1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠆⠄"}},"key":"22D2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠒⠄"}},"key":"22D3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠲⠄"}},"key":"22D4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠢⠄"}},"key":"22D5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠖⠄"}},"key":"22D6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠶⠄"}},"key":"22D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠦⠄"}},"key":"22D8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠔⠄"}},"key":"22D9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠁⠄"}},"key":"22DA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠃⠄"}},"key":"22DB"},{"category":"Sm","mappings":{"default":{"default":"⠀⠱⠐⠅⠀"}},"key":"22DC"},{"category":"Sm","mappings":{"default":{"default":"⠀⠱⠨⠂⠀"}},"key":"22DD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠑⠄"}},"key":"22DE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠋⠄"}},"key":"22DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠴⠄"}},"key":"22E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠂⠄"}},"key":"22E1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠆⠄"}},"key":"22E2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠒⠄"}},"key":"22E3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠲⠄"}},"key":"22E4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠢⠄"}},"key":"22E5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠖⠄"}},"key":"22E6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠶⠄"}},"key":"22E7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠦⠄"}},"key":"22E8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠔⠄"}},"key":"22E9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠁⠄"}},"key":"22EA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠃⠄"}},"key":"22EB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠉⠄"}},"key":"22EC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠙⠄"}},"key":"22ED"},{"category":"Sm","mappings":{"default":{"default":"⠣⠄⠄⠄"}},"key":"22EE"},{"category":"Sm","mappings":{"default":{"default":"⠄⠄⠄"}},"key":"22EF"},{"category":"Sm","mappings":{"default":{"default":"⠘⠄⠄⠄"}},"key":"22F0"},{"category":"Sm","mappings":{"default":{"default":"⠰⠄⠄⠄"}},"key":"22F1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠆⠄"}},"key":"22F2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠒⠄"}},"key":"22F3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠲⠄"}},"key":"22F4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠢⠄"}},"key":"22F5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠖⠄"}},"key":"22F6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠶⠄"}},"key":"22F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠦⠄"}},"key":"22F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠔⠄"}},"key":"22F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠁⠄"}},"key":"22FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠃⠄"}},"key":"22FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠉⠄"}},"key":"22FC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠙⠄"}},"key":"22FD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠑⠄"}},"key":"22FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠋⠄"}},"key":"22FF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠴⠄"}},"key":"2300"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠆⠄"}},"key":"2302"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠢⠄"}},"key":"2305"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠖⠄"}},"key":"2306"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠶⠄"}},"key":"2307"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠴⠄"}},"key":"2310"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠂⠄"}},"key":"2311"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠆⠄"}},"key":"2312"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠒⠄"}},"key":"2313"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠲⠄"}},"key":"2314"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠢⠄"}},"key":"2795"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠖⠄"}},"key":"2796"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠶⠄"}},"key":"2797"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠴⠄"}},"key":"27B0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠋⠄"}},"key":"27BF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠂⠄"}},"key":"27C1"},{"category":"Sm","mappings":{"default":{"default":"⠫⠏"}},"key":"27C2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠒⠄"}},"key":"27C3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠲⠄"}},"key":"27C4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠶⠄"}},"key":"27C7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠦⠄"}},"key":"27C8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠔⠄"}},"key":"27C9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠁⠄"}},"key":"27CA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠃⠄"}},"key":"27CB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠉⠄"}},"key":"27CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠙⠄"}},"key":"27CD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠑⠄"}},"key":"27CE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠋⠄"}},"key":"27CF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠴⠄"}},"key":"27D0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠂⠄"}},"key":"27D1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠆⠄"}},"key":"27D2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠒⠄"}},"key":"27D3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠲⠄"}},"key":"27D4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠢⠄"}},"key":"27D5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠖⠄"}},"key":"27D6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠶⠄"}},"key":"27D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠦⠄"}},"key":"27D8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠔⠄"}},"key":"27D9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠁⠄"}},"key":"27DA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠃⠄"}},"key":"27DB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠉⠄"}},"key":"27DC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠙⠄"}},"key":"27DD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠑⠄"}},"key":"27DE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠋⠄"}},"key":"27DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠴⠄"}},"key":"27E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠂⠄"}},"key":"27E1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠆⠄"}},"key":"27E2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠒⠄"}},"key":"27E3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠲⠄"}},"key":"27E4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠢⠄"}},"key":"27E5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠃⠄"}},"key":"292B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠉⠄"}},"key":"292C"},{"category":"Sm","mappings":{"default":{"default":"⠳⠳⠳"}},"key":"2980"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠂⠄"}},"key":"2981"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠆⠄"}},"key":"2982"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠔⠄"}},"key":"2999"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠁⠄"}},"key":"299A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠴⠄"}},"key":"29B0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠂⠄"}},"key":"29B1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠆⠄"}},"key":"29B2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠢⠄"}},"key":"29B5"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠳⠻"}},"key":"29B6"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠫⠇⠻"}},"key":"29B7"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠸⠡⠻"}},"key":"29B8"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠫⠏⠻"}},"key":"29B9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠁⠄"}},"key":"29BA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠃⠄"}},"key":"29BB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠉⠄"}},"key":"29BC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠑⠄"}},"key":"29BE"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠔⠔⠻"}},"key":"29BF"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠐⠅⠻"}},"key":"29C0"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠨⠂⠻"}},"key":"29C1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠆⠄"}},"key":"29C2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠒⠄"}},"key":"29C3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠲⠄"}},"key":"29C4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠢⠄"}},"key":"29C5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠖⠄"}},"key":"29C6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠶⠄"}},"key":"29C7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠦⠄"}},"key":"29C8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠔⠄"}},"key":"29C9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠁⠄"}},"key":"29CA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠃⠄"}},"key":"29CB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠉⠄"}},"key":"29CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠙⠄"}},"key":"29CD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠑⠄"}},"key":"29CE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠋⠄"}},"key":"29CF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠴⠄"}},"key":"29D0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠂⠄"}},"key":"29D1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠆⠄"}},"key":"29D2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠒⠄"}},"key":"29D3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠲⠄"}},"key":"29D4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠢⠄"}},"key":"29D5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠖⠄"}},"key":"29D6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠶⠄"}},"key":"29D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠉⠄"}},"key":"29DC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠙⠄"}},"key":"29DD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠑⠄"}},"key":"29DE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠋⠄"}},"key":"29DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠴⠄"}},"key":"29E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠂⠄"}},"key":"29E1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠆⠄"}},"key":"29E2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠒⠄"}},"key":"29E3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠲⠄"}},"key":"29E4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠢⠄"}},"key":"29E5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠖⠄"}},"key":"29E6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠶⠄"}},"key":"29E7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠦⠄"}},"key":"29E8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠔⠄"}},"key":"29E9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠃⠄"}},"key":"29EB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠑⠄"}},"key":"29EE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠋⠄"}},"key":"29EF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠴⠄"}},"key":"29F0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠂⠄"}},"key":"29F1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠆⠄"}},"key":"29F2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠒⠄"}},"key":"29F3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠲⠄"}},"key":"29F4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠢⠄"}},"key":"29F5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠖⠄"}},"key":"29F6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠶⠄"}},"key":"29F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠦⠄"}},"key":"29F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠔⠄"}},"key":"29F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠁⠄"}},"key":"29FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠃⠄"}},"key":"29FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠑⠄"}},"key":"29FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠋⠄"}},"key":"29FF"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠡⠻"}},"key":"2A00"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠬⠻"}},"key":"2A01"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠡⠻"}},"key":"2A02"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠒⠄"}},"key":"2A03"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠲⠄"}},"key":"2A04"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠢⠄"}},"key":"2A05"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠖⠄"}},"key":"2A06"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠶⠄"}},"key":"2A07"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠦⠄"}},"key":"2A08"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠔⠄"}},"key":"2A09"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠁⠄"}},"key":"2A0A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠃⠄"}},"key":"2A0B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠉⠄"}},"key":"2A0C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠙⠄"}},"key":"2A0D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠑⠄"}},"key":"2A0E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠋⠄"}},"key":"2A0F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠴⠄"}},"key":"2A10"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠂⠄"}},"key":"2A11"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠆⠄"}},"key":"2A12"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠒⠄"}},"key":"2A13"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠲⠄"}},"key":"2A14"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠢⠄"}},"key":"2A15"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠖⠄"}},"key":"2A16"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠦⠄"}},"key":"2A18"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠔⠄"}},"key":"2A19"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠁⠄"}},"key":"2A1A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠃⠄"}},"key":"2A1B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠉⠄"}},"key":"2A1C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠙⠄"}},"key":"2A1D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠑⠄"}},"key":"2A1E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠋⠄"}},"key":"2A1F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠴⠄"}},"key":"2A20"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠂⠄"}},"key":"2A21"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠆⠄"}},"key":"2A22"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠒⠄"}},"key":"2A23"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠲⠄"}},"key":"2A24"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠢⠄"}},"key":"2A25"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠖⠄"}},"key":"2A26"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠶⠄"}},"key":"2A27"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠦⠄"}},"key":"2A28"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠔⠄"}},"key":"2A29"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠁⠄"}},"key":"2A2A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠃⠄"}},"key":"2A2B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠉⠄"}},"key":"2A2C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠙⠄"}},"key":"2A2D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠑⠄"}},"key":"2A2E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠋⠄"}},"key":"2A2F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠴⠄"}},"key":"2A30"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠂⠄"}},"key":"2A31"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠆⠄"}},"key":"2A32"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠒⠄"}},"key":"2A33"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠲⠄"}},"key":"2A34"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠢⠄"}},"key":"2A35"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠖⠄"}},"key":"2A36"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠶⠄"}},"key":"2A37"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠌⠻"}},"key":"2A38"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠔⠄"}},"key":"2A39"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠁⠄"}},"key":"2A3A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠃⠄"}},"key":"2A3B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠉⠄"}},"key":"2A3C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠙⠄"}},"key":"2A3D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠑⠄"}},"key":"2A3E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠋⠄"}},"key":"2A3F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠴⠄"}},"key":"2A40"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠂⠄"}},"key":"2A41"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠆⠄"}},"key":"2A42"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠒⠄"}},"key":"2A43"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠲⠄"}},"key":"2A44"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠢⠄"}},"key":"2A45"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠖⠄"}},"key":"2A46"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠶⠄"}},"key":"2A47"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠦⠄"}},"key":"2A48"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠔⠄"}},"key":"2A49"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠁⠄"}},"key":"2A4A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠃⠄"}},"key":"2A4B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠉⠄"}},"key":"2A4C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠙⠄"}},"key":"2A4D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠑⠄"}},"key":"2A4E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠋⠄"}},"key":"2A4F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠴⠄"}},"key":"2A50"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠂⠄"}},"key":"2A51"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠆⠄"}},"key":"2A52"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠒⠄"}},"key":"2A53"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠲⠄"}},"key":"2A54"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠢⠄"}},"key":"2A55"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠖⠄"}},"key":"2A56"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠶⠄"}},"key":"2A57"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠦⠄"}},"key":"2A58"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠔⠄"}},"key":"2A59"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠁⠄"}},"key":"2A5A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠃⠄"}},"key":"2A5B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠉⠄"}},"key":"2A5C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠙⠄"}},"key":"2A5D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠑⠄"}},"key":"2A5E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠋⠄"}},"key":"2A5F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠴⠄"}},"key":"2A60"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠂⠄"}},"key":"2A61"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠆⠄"}},"key":"2A62"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠒⠄"}},"key":"2A63"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠲⠄"}},"key":"2A64"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠢⠄"}},"key":"2A65"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠖⠄"}},"key":"2A66"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠶⠄"}},"key":"2A67"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠦⠄"}},"key":"2A68"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠔⠄"}},"key":"2A69"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠁⠄"}},"key":"2A6A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠃⠄"}},"key":"2A6B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠉⠄"}},"key":"2A6C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠙⠄"}},"key":"2A6D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠑⠄"}},"key":"2A6E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠋⠄"}},"key":"2A6F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠴⠄"}},"key":"2A70"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠂⠄"}},"key":"2A71"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠆⠄"}},"key":"2A72"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠒⠄"}},"key":"2A73"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠲⠄"}},"key":"2A74"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠢⠄"}},"key":"2A75"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠖⠄"}},"key":"2A76"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠶⠄"}},"key":"2A77"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠦⠄"}},"key":"2A78"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠔⠄"}},"key":"2A79"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠁⠄"}},"key":"2A7A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠃⠄"}},"key":"2A7B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠉⠄"}},"key":"2A7C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠙⠄"}},"key":"2A7D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠑⠄"}},"key":"2A7E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠋⠄"}},"key":"2A7F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠴⠄"}},"key":"2A80"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠂⠄"}},"key":"2A81"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠆⠄"}},"key":"2A82"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠒⠄"}},"key":"2A83"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠲⠄"}},"key":"2A84"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠢⠄"}},"key":"2A85"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠖⠄"}},"key":"2A86"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠶⠄"}},"key":"2A87"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠦⠄"}},"key":"2A88"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠔⠄"}},"key":"2A89"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠁⠄"}},"key":"2A8A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠃⠄"}},"key":"2A8B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠉⠄"}},"key":"2A8C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠙⠄"}},"key":"2A8D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠑⠄"}},"key":"2A8E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠋⠄"}},"key":"2A8F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠴⠄"}},"key":"2A90"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠂⠄"}},"key":"2A91"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠆⠄"}},"key":"2A92"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠒⠄"}},"key":"2A93"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠲⠄"}},"key":"2A94"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠢⠄"}},"key":"2A95"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠖⠄"}},"key":"2A96"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠶⠄"}},"key":"2A97"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠦⠄"}},"key":"2A98"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠔⠄"}},"key":"2A99"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠁⠄"}},"key":"2A9A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠃⠄"}},"key":"2A9B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠉⠄"}},"key":"2A9C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠙⠄"}},"key":"2A9D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠑⠄"}},"key":"2A9E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠋⠄"}},"key":"2A9F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠴⠄"}},"key":"2AA0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠂⠄"}},"key":"2AA1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠆⠄"}},"key":"2AA2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠒⠄"}},"key":"2AA3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠲⠄"}},"key":"2AA4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠢⠄"}},"key":"2AA5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠖⠄"}},"key":"2AA6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠶⠄"}},"key":"2AA7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠦⠄"}},"key":"2AA8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠔⠄"}},"key":"2AA9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠁⠄"}},"key":"2AAA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠃⠄"}},"key":"2AAB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠉⠄"}},"key":"2AAC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠙⠄"}},"key":"2AAD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠑⠄"}},"key":"2AAE"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠱⠀"}},"key":"2AAF"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠱⠀"}},"key":"2AB0"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠌⠱⠀"}},"key":"2AB1"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠌⠱⠀"}},"key":"2AB2"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠨⠅⠀"}},"key":"2AB3"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠨⠅⠀"}},"key":"2AB4"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠌⠨⠅⠀"}},"key":"2AB5"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠌⠨⠅⠀"}},"key":"2AB6"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠈⠱⠈⠱⠀"}},"key":"2AB7"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠈⠱⠈⠱⠀"}},"key":"2AB8"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠌⠈⠱⠈⠱⠀"}},"key":"2AB9"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠌⠈⠱⠈⠱⠀"}},"key":"2ABA"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠈⠨⠐⠅⠻⠀"}},"key":"2ABB"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠈⠨⠨⠐⠻⠀"}},"key":"2ABC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠃⠙⠄"}},"key":"2ABD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠃⠑⠄"}},"key":"2ABE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠃⠋⠄"}},"key":"2ABF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠴⠄"}},"key":"2AC0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠂⠄"}},"key":"2AC1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠆⠄"}},"key":"2AC2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠒⠄"}},"key":"2AC3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠲⠄"}},"key":"2AC4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠢⠄"}},"key":"2AC5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠖⠄"}},"key":"2AC6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠶⠄"}},"key":"2AC7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠦⠄"}},"key":"2AC8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠔⠄"}},"key":"2AC9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠁⠄"}},"key":"2ACA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠃⠄"}},"key":"2ACB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠉⠄"}},"key":"2ACC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠙⠄"}},"key":"2ACD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠑⠄"}},"key":"2ACE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠋⠄"}},"key":"2ACF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠴⠄"}},"key":"2AD0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠂⠄"}},"key":"2AD1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠆⠄"}},"key":"2AD2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠒⠄"}},"key":"2AD3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠲⠄"}},"key":"2AD4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠢⠄"}},"key":"2AD5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠖⠄"}},"key":"2AD6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠶⠄"}},"key":"2AD7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠦⠄"}},"key":"2AD8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠔⠄"}},"key":"2AD9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠁⠄"}},"key":"2ADA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠃⠄"}},"key":"2ADB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠉⠄"}},"key":"2ADC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠙⠄"}},"key":"2ADD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠑⠄"}},"key":"2ADE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠋⠄"}},"key":"2ADF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠴⠄"}},"key":"2AE0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠂⠄"}},"key":"2AE1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠆⠄"}},"key":"2AE2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠒⠄"}},"key":"2AE3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠲⠄"}},"key":"2AE4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠢⠄"}},"key":"2AE5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠖⠄"}},"key":"2AE6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠶⠄"}},"key":"2AE7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠦⠄"}},"key":"2AE8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠔⠄"}},"key":"2AE9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠁⠄"}},"key":"2AEA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠃⠄"}},"key":"2AEB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠉⠄"}},"key":"2AEC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠙⠄"}},"key":"2AED"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠑⠄"}},"key":"2AEE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠋⠄"}},"key":"2AEF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠴⠄"}},"key":"2AF0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠂⠄"}},"key":"2AF1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠆⠄"}},"key":"2AF2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠒⠄"}},"key":"2AF3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠲⠄"}},"key":"2AF4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠢⠄"}},"key":"2AF5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠖⠄"}},"key":"2AF6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠶⠄"}},"key":"2AF7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠦⠄"}},"key":"2AF8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠔⠄"}},"key":"2AF9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠁⠄"}},"key":"2AFA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠃⠄"}},"key":"2AFB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠉⠄"}},"key":"2AFC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠙⠄"}},"key":"2AFD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠑⠄"}},"key":"2AFE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠋⠄"}},"key":"2AFF"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠉⠄"}},"key":"301C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠴⠄"}},"key":"FE10"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠒⠄"}},"key":"FE13"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠲⠄"}},"key":"FE14"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠢⠄"}},"key":"FE15"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠖⠄"}},"key":"FE16"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠔⠄"}},"key":"FE19"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠴⠄"}},"key":"FE30"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠂⠄"}},"key":"FE31"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠆⠄"}},"key":"FE32"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠒⠄"}},"key":"FE33"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠲⠄"}},"key":"FE34"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠢⠄"}},"key":"FE45"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠖⠄"}},"key":"FE46"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠔⠄"}},"key":"FE49"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠁⠄"}},"key":"FE4A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠃⠄"}},"key":"FE4B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠉⠄"}},"key":"FE4C"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠙⠄"}},"key":"FE4D"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠑⠄"}},"key":"FE4E"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠋⠄"}},"key":"FE4F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠴⠄"}},"key":"FE50"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠆⠄"}},"key":"FE52"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠲⠄"}},"key":"FE54"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠢⠄"}},"key":"FE55"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠖⠄"}},"key":"FE56"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠶⠄"}},"key":"FE57"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠦⠄"}},"key":"FE58"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠋⠄"}},"key":"FE5F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠴⠄"}},"key":"FE60"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠂⠄"}},"key":"FE61"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠆⠄"}},"key":"FE62"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠒⠄"}},"key":"FE63"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠲⠄"}},"key":"FE64"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠢⠄"}},"key":"FE65"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠖⠄"}},"key":"FE66"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠦⠄"}},"key":"FE68"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠔⠄"}},"key":"FE69"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠁⠄"}},"key":"FE6A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠃⠄"}},"key":"FE6B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠂⠄"}},"key":"FF01"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠆⠄"}},"key":"FF02"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠒⠄"}},"key":"FF03"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠲⠄"}},"key":"FF04"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠢⠄"}},"key":"FF05"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠖⠄"}},"key":"FF06"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠶⠄"}},"key":"FF07"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠁⠄"}},"key":"FF0A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠃⠄"}},"key":"FF0B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠉⠄"}},"key":"FF0C"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠙⠄"}},"key":"FF0D"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠑⠄"}},"key":"FF0E"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠋⠄"}},"key":"FF0F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠁⠄"}},"key":"FF1A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠃⠄"}},"key":"FF1B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠉⠄"}},"key":"FF1C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠙⠄"}},"key":"FF1D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠑⠄"}},"key":"FF1E"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠋⠄"}},"key":"FF1F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠆⠴⠄"}},"key":"FF20"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠉⠄"}},"key":"FF3C"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠑⠄"}},"key":"FF3E"},{"category":"Pc","mappings":{"default":{"default":"⠱"}},"key":"FF3F"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠲⠴⠄"}},"key":"FF40"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠉⠄"}},"key":"FF5C"},{"category":"Sm","mappings":{"default":{"default":"⠈⠱"}},"key":"FF5E"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠴⠄"}},"key":"FFE0"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠂⠄"}},"key":"FFE1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠆⠄"}},"key":"FFE2"},{"category":"Sk","mappings":{"default":{"default":"⠱"}},"key":"FFE3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠲⠄"}},"key":"FFE4"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠢⠄"}},"key":"FFE5"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠖⠄"}},"key":"FFE6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠦⠄"}},"key":"FFE8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠙⠄"}},"key":"FFED"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠑⠄"}},"key":"FFEE"}]
+,
+"nemeth/symbols/math_whitespace.js": 
+[{"locale":"nemeth"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"0020"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"00A0"},{"category":"Cf","mappings":{"default":{"default":"⠤"}},"key":"00AD"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2000"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2001"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2002"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2003"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2004"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2005"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2006"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2007"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2008"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2009"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"200A"},{"category":"Cf","mappings":{"default":{"default":"⠀"}},"key":"200B"},{"category":"Cf","mappings":{"default":{"default":""}},"key":"200C"},{"category":"Cf","mappings":{"default":{"default":""}},"key":"200D"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠴⠑⠄"}},"key":"200E"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠴⠋⠄"}},"key":"200F"},{"category":"Zl","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠦⠄"}},"key":"2028"},{"category":"Zp","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠔⠄"}},"key":"2029"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠁⠄"}},"key":"202A"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠃⠄"}},"key":"202B"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠉⠄"}},"key":"202C"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠙⠄"}},"key":"202D"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠑⠄"}},"key":"202E"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"202F"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"205F"},{"category":"Cf","mappings":{"default":{"default":""}},"key":"2060"},{"category":"Cf","mappings":{"default":{"default":"⠀"}},"key":"2061"},{"category":"Cf","mappings":{"default":{"default":"⠈⠡"}},"key":"2062"},{"category":"Cf","mappings":{"default":{"default":"⠠"}},"key":"2063"},{"category":"Cf","mappings":{"default":{"default":"⠬"}},"key":"2064"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠁⠄"}},"key":"206A"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠃⠄"}},"key":"206B"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠑⠄"}},"key":"206E"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠋⠄"}},"key":"206F"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠋⠋⠄"}},"key":"FEFF"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠋⠔⠄"}},"key":"FFF9"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠋⠁⠄"}},"key":"FFFA"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠋⠃⠄"}},"key":"FFFB"}]
+,
+"nemeth/symbols/other_stars.js": 
+[{"locale":"nemeth"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠑⠦⠄"}},"key":"23E8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠖⠴⠢⠄"}},"key":"2605"},{"category":"So","mappings":{"default":{"default":"⠫⠎"}},"key":"2606"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠖⠁⠁⠄"}},"key":"26AA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠖⠁⠃⠄"}},"key":"26AB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠴⠢⠄"}},"key":"2705"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠒⠄"}},"key":"2713"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠲⠄"}},"key":"2714"},{"category":"So","mappings":{"default":{"default":"⠈⠡"}},"key":"2715"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠖⠄"}},"key":"2716"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠶⠄"}},"key":"2717"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠦⠄"}},"key":"2718"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠃⠄"}},"key":"271B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠉⠄"}},"key":"271C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠴⠄"}},"key":"2720"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠂⠄"}},"key":"2721"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠆⠄"}},"key":"2722"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠒⠄"}},"key":"2723"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠲⠄"}},"key":"2724"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠢⠄"}},"key":"2725"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠖⠄"}},"key":"2726"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠶⠄"}},"key":"2727"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠦⠄"}},"key":"2728"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠔⠄"}},"key":"2729"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠁⠄"}},"key":"272A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠃⠄"}},"key":"272B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠉⠄"}},"key":"272C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠙⠄"}},"key":"272D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠑⠄"}},"key":"272E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠋⠄"}},"key":"272F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠴⠄"}},"key":"2730"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠂⠄"}},"key":"2731"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠆⠄"}},"key":"2732"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠒⠄"}},"key":"2733"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠲⠄"}},"key":"2734"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠢⠄"}},"key":"2735"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠖⠄"}},"key":"2736"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠔⠄"}},"key":"2739"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠁⠄"}},"key":"273A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠃⠄"}},"key":"273B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠉⠄"}},"key":"273C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠙⠄"}},"key":"273D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠑⠄"}},"key":"273E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠋⠄"}},"key":"273F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠴⠄"}},"key":"2740"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠂⠄"}},"key":"2741"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠆⠄"}},"key":"2742"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠒⠄"}},"key":"2743"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠲⠄"}},"key":"2744"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠢⠄"}},"key":"2745"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠖⠄"}},"key":"2746"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠶⠄"}},"key":"2747"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠦⠄"}},"key":"2748"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠔⠄"}},"key":"2749"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠁⠄"}},"key":"274A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠃⠄"}},"key":"274B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠉⠄"}},"key":"274C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠙⠄"}},"key":"274D"}]
+,
+"nemeth/units/energy.js": 
+[{"locale":"nemeth"},{"category":"energy","mappings":{"default":{"default":"⠠⠺"}},"key":"W","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"⠅⠠⠺"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"⠍⠠⠺"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"⠅⠺⠓"}},"key":"kwh","names":["kwh","kWh"]},{"category":"energy","mappings":{"default":{"default":"⠠⠚"}},"key":"J","names":["J"]},{"category":"energy","mappings":{"default":{"default":"⠠⠝"}},"key":"N","names":["N"]},{"category":"energy","mappings":{"default":{"default":"⠠⠁"}},"key":"A","names":["A"]},{"category":"energy","mappings":{"default":{"default":"⠠⠧"}},"key":"V","names":["V"]},{"category":"energy","mappings":{"default":{"default":"⠨⠍⠨⠠⠺"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"⠍⠨⠠⠺"}},"key":"mΩ","names":["mΩ"]},{"category":"energy","mappings":{"default":{"default":"⠨⠠⠺"}},"key":"Ω","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"⠅⠨⠠⠺"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"⠨⠠⠺"}},"key":"Ω","names":["Ω"]},{"category":"energy","mappings":{"default":{"default":"⠍⠨⠠⠺"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"⠛⠨⠠⠺"}},"key":"GΩ","names":["GΩ"]}]
+,
+"nemeth/units/length.js": 
+[{"locale":"nemeth"},{"category":"Length","mappings":{"default":{"default":"⠍⠍"}},"key":"mm","names":["mm"]},{"category":"Length","mappings":{"default":{"default":"⠉⠍"}},"key":"cm","names":["cm"]},{"category":"Length","mappings":{"default":{"default":"⠍"}},"key":"m","names":["m"]},{"category":"Length","mappings":{"default":{"default":"⠅⠍"}},"key":"km","names":["km"]},{"category":"Length","mappings":{"default":{"default":"⠋⠞"}},"key":"ft","names":["ft","ft."]},{"category":"Length","mappings":{"default":{"default":"⠊⠝"}},"key":"in","names":["in","in."]},{"category":"Length","mappings":{"default":{"default":"⠍⠊"}},"key":"mi","names":["mi","mi."]},{"category":"Length","mappings":{"default":{"default":"⠽⠙"}},"key":"yd","names":["yd","yd."]},{"category":"","mappings":{"default":{"default":"⠝⠲⠍⠸⠲"}},"key":"n.m.","names":["n.m."]}]
+,
+"nemeth/units/memory.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠃"}},"key":"b","names":["b"]},{"category":"","mappings":{"default":{"default":"⠠⠃"}},"key":"B","names":["B"]},{"category":"","mappings":{"default":{"default":"⠅⠃"}},"key":"KB","names":["KB"]},{"category":"","mappings":{"default":{"default":"⠍⠃"}},"key":"MB","names":["MB"]},{"category":"","mappings":{"default":{"default":"⠛⠃"}},"key":"GB","names":["GB"]},{"category":"","mappings":{"default":{"default":"⠞⠃"}},"key":"TB","names":["TB"]}]
+,
+"nemeth/units/other.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠙⠕⠵"}},"key":"doz","names":["doz","doz.","dz","dz."]},{"category":"","mappings":{"default":{"default":"⠎⠟"}},"key":"sq","names":["sq","sq."]},{"category":"","mappings":{"default":{"default":"⠓⠁"}},"key":"ha","names":["ha"]}]
+,
+"nemeth/units/speed.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠅⠞"}},"key":"kt","names":["kt","kt."]},{"category":"","mappings":{"default":{"default":"⠍⠏⠓"}},"key":"mph","names":["mph"]},{"category":"","mappings":{"default":{"default":"⠗⠏⠍"}},"key":"rpm","names":["rpm"]},{"category":"","mappings":{"default":{"default":"⠅⠍⠓"}},"key":"kmh","names":["kmh"]}]
+,
+"nemeth/units/temperature.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠠⠋"}},"key":"F","names":["F","F.","°F"]},{"category":"","mappings":{"default":{"default":"⠠⠉"}},"key":"C","names":["C","°C"]},{"category":"","mappings":{"default":{"default":"⠠⠅"}},"key":"K","names":["K","°K"]}]
+,
+"nemeth/units/time.js": 
+[{"locale":"nemeth"},{"category":"time","mappings":{"default":{"default":"⠝⠎"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"⠨⠍⠎"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"⠍⠎"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"⠎"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"⠍⠊⠝⠀"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"⠓"}},"key":"h","names":["h","hr"]}]
+,
+"nemeth/units/volume.js": 
+[{"locale":"nemeth"},{"category":"volume","mappings":{"default":{"default":"⠃⠃⠇"}},"key":"bbl","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"⠉⠥"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"⠋⠇⠸⠲⠀⠕⠵⠸⠲"}},"key":"fl. oz.","names":["fl. oz."]},{"category":"volume","mappings":{"default":{"default":"⠛⠁⠇"}},"key":"gal","names":["gal","gal."]},{"category":"volume","mappings":{"default":{"default":"⠏⠞"}},"key":"pt","names":["pt","pt."]},{"category":"volume","mappings":{"default":{"default":"⠟⠞"}},"key":"qt","names":["qt","qt."]},{"category":"volume","mappings":{"default":{"default":"⠞⠃⠎⠏"}},"key":"tbsp","names":["tbsp","tbsp."]},{"category":"volume","mappings":{"default":{"default":"⠞⠎⠏"}},"key":"tsp","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"⠉⠉"}},"key":"cc","names":["cc"]},{"category":"volume","mappings":{"default":{"default":"⠅⠇"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"⠇"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"⠍⠇"}},"key":"ml","names":["ml"]}]
+,
+"nemeth/units/weight.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠇⠃"}},"key":"lb","names":["lb","lb."]},{"category":"","mappings":{"default":{"default":"⠇⠞"}},"key":"LT","names":["LT","L.T."]},{"category":"","mappings":{"default":{"default":"⠕⠵"}},"key":"oz","names":["oz","oz."]},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"⠨⠍⠛"}}},{"category":"","mappings":{"default":{"default":"⠛⠗"}},"key":"gr","names":["g","gr"]},{"category":"","mappings":{"default":{"default":"⠅⠛"}},"key":"kg","names":["kg"]},{"category":"","mappings":{"default":{"default":"⠍⠉⠛"}},"key":"mcg","names":["mg","µg"]},{"category":"","mappings":{"default":{"default":"⠍⠛"}},"key":"mg","names":["mg"]},{"category":"","mappings":{"default":{"default":"⠞"}},"key":"t","names":["t","T"]}]
+}
+
diff --git a/extensions/a11y/semantic-enrich.js b/extensions/a11y/semantic-enrich.js
index 0dc5e2f0e3..67da54a7a8 100644
--- a/extensions/a11y/semantic-enrich.js
+++ b/extensions/a11y/semantic-enrich.js
@@ -1 +1,77 @@
-MathJax.Extension["semantic-enrich"]={version:"1.5.0",config:MathJax.Hub.CombineConfig("semantic-enrich",{disabled:!1}),dependents:[],running:!1,mstyleLookup:{mi:["mathvariant"],mo:["mathvariant","accent","largeop","form","fence","separator","movablelimits"],mn:["mathvariant"],mtext:["mathvariant"],ms:["mathvariant"],mfrac:["linethickness"],mfenced:["open","close","separators"],menclose:["notation"],munder:["accentunder"],mover:["accent"],munderover:["accent","accentunder"]},Filter:function(a,b,c){if(delete a.enriched,!this.config.disabled)try{this.running=!0;var d=sre.Enrich.semanticMathmlSync(a.root.toMathML());a.root=MathJax.InputJax.MathML.Parse.prototype.MakeMML(d),a.root.inputID=c.id,a.enriched=!0,this.running=!1}catch(a){throw this.running=!1,a}},Enable:function(a,b){this.config.disabled=!1,a&&MathJax.Hub.Queue(["Reprocess",MathJax.Hub])},Disable:function(a,b){this.config.disabled=!0;for(var c=this.dependents.length-1;c>=0;c--){var d=this.dependents[c];d.Disable&&d.Disable(!1,b)}a&&MathJax.Hub.Queue(["Reprocess",MathJax.Hub])},Dependent:function(a){this.dependents.push(a)}},function(){var a=MathJax.Ajax.config.path;a.a11y||(a.a11y=HUB.config.root+"/extensions/a11y"),a.SRE||(a.SRE=MathJax.Ajax.fileURL(a.a11y)),MathJax.Ajax.Load("[SRE]/mathjax-sre.js"),MathJax.Hub.Register.StartupHook("Sre Ready",["loadComplete",MathJax.Ajax,"[SRE]/mathjax-sre.js"])}(),MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/jax/element/mml/jax.js"],["Require",MathJax.Ajax,"[MathJax]/jax/input/MathML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/input/MathML/jax.js"],["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],MathJax.Hub.Register.StartupHook("Sre Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.Extension["semantic-enrich"];a.mbase.Augment({toMathMLattributes:function(){var c="mstyle"===this.type?a.math.prototype.defaults:this.defaults,d=this.attrNames||a.copyAttributeNames,e=a.skipAttributes,f=a.copyAttributes,g=b.running?b.mstyleLookup[this.type]||[]:[],h=[],i=this.attr||{};if("math"!==this.type||this.attr&&"xmlns"in this.attr||h.push('xmlns="http://www.w3.org/1998/Math/MathML"'),!this.attrNames)for(var j in c)e[j]||f[j]||!c.hasOwnProperty(j)||null!=this[j]&&this[j]!==c[j]&&this.Get(j,null,1)!==this[j]&&this.toMathMLaddAttr(h,j,this[j]);for(var k=0,l=d.length;k<l;k++)(1!==f[d[k]]||c.hasOwnProperty(d[k]))&&(value=i[d[k]],null==value&&(value=this[d[k]]),null!=value&&this.toMathMLaddAttr(h,d[k],value));for(k=0,l=g.length;k<l;k++)j=g[k],c.hasOwnProperty(j)&&!h["_"+j]&&(value=this.Get(j,1),null!=value&&this.toMathMLaddAttr(h,j,value));return this.toMathMLclass(h),h.length?" "+h.join(" "):""},toMathMLaddAttr:function(a,b,c){a.push(b+'="'+this.toMathMLquote(c)+'"'),a["_"+b]=1}});var c=a.mo.prototype.setTeXclass;a.mo.Augment({setTeXclass:function(b){this.getValues("form","lspace","rspace");return this.useMMLspacing?(this.texClass=a.TEXCLASS.NONE,this):this.attr&&this.attr["data-semantic-added"]?(this.texClass=this.prevClass=a.TEXCLASS.NONE,b):c.apply(this,arguments)}})}),function(){MathJax.Hub.postInputHooks.Add(["Filter",MathJax.Extension["semantic-enrich"]],50),MathJax.Hub.Startup.signal.Post("Semantic Enrich Ready"),MathJax.Ajax.loadComplete("[a11y]/semantic-enrich.js")});
\ No newline at end of file
+MathJax.Extension["semantic-enrich"] = {
+    version: "1.6.0",
+    config: MathJax.Hub.CombineConfig("semantic-enrich", {
+        disabled: !1
+    }),
+    dependents: [],
+    running: !1,
+    mstyleLookup: {
+        mi: [ "mathvariant" ],
+        mo: [ "mathvariant", "accent", "largeop", "form", "fence", "separator", "movablelimits" ],
+        mn: [ "mathvariant" ],
+        mtext: [ "mathvariant" ],
+        ms: [ "mathvariant" ],
+        mfrac: [ "linethickness" ],
+        mfenced: [ "open", "close", "separators" ],
+        menclose: [ "notation" ],
+        munder: [ "accentunder" ],
+        mover: [ "accent" ],
+        munderover: [ "accent", "accentunder" ]
+    },
+    Filter: function(t, a, e) {
+        if (delete t.enriched, !this.config.disabled) try {
+            this.running = !0;
+            var n = sre.Enrich.semanticMathmlSync(t.root.toMathML());
+            t.root = MathJax.InputJax.MathML.Parse.prototype.MakeMML(n), t.root.inputID = e.id, 
+            t.enriched = !0, this.running = !1;
+        } catch (t) {
+            throw this.running = !1, t;
+        }
+    },
+    Enable: function(t, a) {
+        this.config.disabled = !1, t && MathJax.Hub.Queue([ "Reprocess", MathJax.Hub ]);
+    },
+    Disable: function(t, a) {
+        this.config.disabled = !0;
+        for (var e = this.dependents.length - 1; 0 <= e; e--) {
+            var n = this.dependents[e];
+            n.Disable && n.Disable(!1, a);
+        }
+        t && MathJax.Hub.Queue([ "Reprocess", MathJax.Hub ]);
+    },
+    Dependent: function(t) {
+        this.dependents.push(t);
+    }
+}, function() {
+    var t = MathJax.Ajax.config.path;
+    t.a11y || (t.a11y = HUB.config.root + "/extensions/a11y"), t.SRE || (t.SRE = MathJax.Ajax.fileURL(t.a11y)), 
+    MathJax.Ajax.Load("[SRE]/mathjax-sre.js"), MathJax.Hub.Register.StartupHook("Sre Ready", [ "loadComplete", MathJax.Ajax, "[SRE]/mathjax-sre.js" ]);
+}(), MathJax.Callback.Queue([ "Require", MathJax.Ajax, "[MathJax]/jax/element/mml/jax.js" ], [ "Require", MathJax.Ajax, "[MathJax]/jax/input/MathML/config.js" ], [ "Require", MathJax.Ajax, "[MathJax]/jax/input/MathML/jax.js" ], [ "Require", MathJax.Ajax, "[MathJax]/extensions/toMathML.js" ], MathJax.Hub.Register.StartupHook("Sre Ready", function() {
+    var l = MathJax.ElementJax.mml, c = MathJax.Extension["semantic-enrich"];
+    l.mbase.Augment({
+        toMathMLattributes: function() {
+            var t = "mstyle" === this.type ? l.math.prototype.defaults : this.defaults, a = this.attrNames || l.copyAttributeNames, e = l.skipAttributes, n = l.copyAttributes, s = c.running && c.mstyleLookup[this.type] || [], i = [], h = this.attr || {};
+            if ("math" !== this.type || this.attr && "xmlns" in this.attr || i.push('xmlns="http://www.w3.org/1998/Math/MathML"'), 
+            !this.attrNames) for (var r in t) e[r] || n[r] || !t.hasOwnProperty(r) || null != this[r] && this[r] !== t[r] && this.Get(r, null, 1) !== this[r] && this.toMathMLaddAttr(i, r, this[r]);
+            for (var o = 0, u = a.length; o < u; o++) 1 === n[a[o]] && !t.hasOwnProperty(a[o]) || (value = h[a[o]], 
+            null == value && (value = this[a[o]]), null != value && this.toMathMLaddAttr(i, a[o], value));
+            for (o = 0, u = s.length; o < u; o++) r = s[o], t.hasOwnProperty(r) && !i["_" + r] && (value = this.Get(r, 1), 
+            null != value && this.toMathMLaddAttr(i, r, value));
+            return this.toMathMLclass(i), i.length ? " " + i.join(" ") : "";
+        },
+        toMathMLaddAttr: function(t, a, e) {
+            t.push(a + '="' + this.toMathMLquote(e) + '"'), t["_" + a] = 1;
+        }
+    });
+    var a = l.mo.prototype.setTeXclass;
+    l.mo.Augment({
+        setTeXclass: function(t) {
+            this.getValues("form", "lspace", "rspace");
+            return this.useMMLspacing ? (this.texClass = l.TEXCLASS.NONE, this) : this.attr && this.attr["data-semantic-added"] ? (this.texClass = this.prevClass = l.TEXCLASS.NONE, 
+            t) : a.apply(this, arguments);
+        }
+    });
+}), function() {
+    MathJax.Hub.postInputHooks.Add([ "Filter", MathJax.Extension["semantic-enrich"] ], 50), 
+    MathJax.Hub.Startup.signal.Post("Semantic Enrich Ready"), MathJax.Ajax.loadComplete("[a11y]/semantic-enrich.js");
+});
\ No newline at end of file
diff --git a/extensions/asciimath2jax.js b/extensions/asciimath2jax.js
index b69929c7d5..b70735c373 100644
--- a/extensions/asciimath2jax.js
+++ b/extensions/asciimath2jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/asciimath2jax.js
+ *  /MathJax-v2/extensions/asciimath2jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension.asciimath2jax={version:"2.7.6",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
+MathJax.Extension.asciimath2jax={version:"2.7.9",config:{delimiters:[["`","`"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"asciimath2jax_ignore",processClass:"asciimath2jax_process",preview:"AsciiMath"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("asciimath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],c,a,b=this.config;this.match={};if(b.delimiters.length===0){return false}for(c=0,a=b.delimiters.length;c<a;c++){d.push(this.patternQuote(b.delimiters[c][0]));this.match[b.delimiters[c][0]]={mode:"",end:b.delimiters[c][1],pattern:this.endPattern(b.delimiters[c][1])}}this.start=new RegExp(d.sort(this.sortLength).join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var e=[];if(MathJax.Hub.config.preRemoveClass){e.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){e.push(b.ignoreClass)}this.ignoreClass=(e.length?new RegExp("(^| )("+e.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return true},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e||0;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return d}c=a.open;e=a.opos+a.olen;this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var c=this.match[a[0]];if(c!=null){this.search={end:c.end,mode:c.mode,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(c.pattern)}return b},endMatch:function(a,b){if(a[0]==this.search.end){this.search.close=b;this.search.cpos=this.pattern.lastIndex;this.search.clen=(this.search.isBeginEnd?0:a[0].length);this.search.matched=true;b=this.encloseMath(b);this.switchPattern(this.start)}return b},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=d.nextSibling.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="AsciiMath"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,a){var b=document.createElement("script");b.type="math/asciimath"+c;MathJax.HTML.setScript(b,a);this.insertNode(b);return b},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.asciimath2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/asciimath2jax.js");
diff --git a/extensions/fast-preview.js b/extensions/fast-preview.js
index be01d05aed..146f72df7e 100644
--- a/extensions/fast-preview.js
+++ b/extensions/fast-preview.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/fast-preview.js
+ *  /MathJax-v2/extensions/fast-preview.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.6",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
+(function(b,g,f){var c=b.config.menuSettings;var e=MathJax.OutputJax;var a=f.isMSIE&&(document.documentMode||0)<8;var d=MathJax.Extension["fast-preview"]={version:"2.7.9",enabled:true,config:b.CombineConfig("fast-preview",{Chunks:{EqnChunk:10000,EqnChunkFactor:1,EqnChunkDelay:0},color:"inherit!important",updateTime:30,updateDelay:6,messageStyle:"none",disabled:f.isMSIE&&!f.versionAtLeast("8.0")}),Config:function(){if(b.config["CHTML-preview"]){MathJax.Hub.Config({"fast-preview":b.config["CHTML-preview"]})}var m,j,k,h,l;var i=this.config;if(!i.disabled&&c.FastPreview==null){b.Config({menuSettings:{FastPreview:true}})}if(c.FastPreview){MathJax.Ajax.Styles({".MathJax_Preview .MJXf-math":{color:i.color}});b.Config({"HTML-CSS":i.Chunks,CommonHTML:i.Chunks,SVG:i.Chunks})}b.Register.MessageHook("Begin Math Output",function(){if(!h&&d.Active()){m=b.processUpdateTime;j=b.processUpdateDelay;k=b.config.messageStyle;b.processUpdateTime=i.updateTime;b.processUpdateDelay=i.updateDelay;b.Config({messageStyle:i.messageStyle});MathJax.Message.Clear(0,0);l=true}});b.Register.MessageHook("End Math Output",function(){if(!h&&l){b.processUpdateTime=m;b.processUpdateDelay=j;b.Config({messageStyle:k});h=true}})},Disable:function(){this.enabled=false},Enable:function(){this.enabled=true},Active:function(){return c.FastPreview&&this.enabled&&!(e[c.renderer]||{}).noFastPreview},Preview:function(h){if(!this.Active()||!h.script.parentNode){return}var i=h.script.MathJax.preview||h.script.previousSibling;if(!i||i.className!==MathJax.Hub.config.preRemoveClass){i=g.Element("span",{className:MathJax.Hub.config.preRemoveClass});h.script.parentNode.insertBefore(i,h.script);h.script.MathJax.preview=i}i.innerHTML="";i.style.color=(a?"black":"inherit");return this.postFilter(i,h)},postFilter:function(j,i){if(!i.math.root.toPreviewHTML){var h=MathJax.Callback.Queue();h.Push(["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/output/PreviewHTML/jax.js"]);b.RestartAfter(h.Push({}))}i.math.root.toPreviewHTML(j)},Register:function(h){b.Register.StartupHook(h+" Jax Require",function(){var i=MathJax.InputJax[h];i.postfilterHooks.Add(["Preview",MathJax.Extension["fast-preview"]],50)})}};d.Register("TeX");d.Register("MathML");d.Register("AsciiMath");b.Register.StartupHook("End Config",["Config",d]);b.Startup.signal.Post("fast-preview Ready")})(MathJax.Hub,MathJax.HTML,MathJax.Hub.Browser);MathJax.Ajax.loadComplete("[MathJax]/extensions/fast-preview.js");
diff --git a/extensions/jsMath2jax.js b/extensions/jsMath2jax.js
index af41a11c1b..ac538b86d5 100644
--- a/extensions/jsMath2jax.js
+++ b/extensions/jsMath2jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/jsMath2jax.js
+ *  /MathJax-v2/extensions/jsMath2jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension.jsMath2jax={version:"2.7.6",config:{preview:"TeX"},PreProcess:function(b){if(!this.configured){this.config=MathJax.Hub.CombineConfig("jsMath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.previewClass=MathJax.Hub.config.preRemoveClass;this.configured=true}if(typeof(b)==="string"){b=document.getElementById(b)}if(!b){b=document.body}var c=b.getElementsByTagName("span"),a;for(a=c.length-1;a>=0;a--){if(String(c[a].className).match(/(^| )math( |$)/)){this.ConvertMath(c[a],"")}}var d=b.getElementsByTagName("div");for(a=d.length-1;a>=0;a--){if(String(d[a].className).match(/(^| )math( |$)/)){this.ConvertMath(d[a],"; mode=display")}}},ConvertMath:function(c,d){if(c.getElementsByTagName("script").length===0){var b=c.parentNode,a=this.createMathTag(d,c.innerHTML);if(c.nextSibling){b.insertBefore(a,c.nextSibling)}else{b.appendChild(a)}if(this.config.preview!=="none"){this.createPreview(c)}b.removeChild(c)}},createPreview:function(b){var a=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((b.previousSibling||{}).className===a){return}if(c==="TeX"){c=[this.filterPreview(b.innerHTML)]}if(c){c=MathJax.HTML.Element("span",{className:a},c);b.parentNode.insertBefore(c,b)}},createMathTag:function(c,b){b=b.replace(/&lt;/g,"<").replace(/&gt;/g,">").replace(/&amp;/g,"&");var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax],8);MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js");
+MathJax.Extension.jsMath2jax={version:"2.7.9",config:{preview:"TeX"},PreProcess:function(b){if(!this.configured){this.config=MathJax.Hub.CombineConfig("jsMath2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.previewClass=MathJax.Hub.config.preRemoveClass;this.configured=true}if(typeof(b)==="string"){b=document.getElementById(b)}if(!b){b=document.body}var c=b.getElementsByTagName("span"),a;for(a=c.length-1;a>=0;a--){if(String(c[a].className).match(/(^| )math( |$)/)){this.ConvertMath(c[a],"")}}var d=b.getElementsByTagName("div");for(a=d.length-1;a>=0;a--){if(String(d[a].className).match(/(^| )math( |$)/)){this.ConvertMath(d[a],"; mode=display")}}},ConvertMath:function(c,d){if(c.getElementsByTagName("script").length===0){var b=c.parentNode,a=this.createMathTag(d,c.innerHTML);if(c.nextSibling){b.insertBefore(a,c.nextSibling)}else{b.appendChild(a)}if(this.config.preview!=="none"){this.createPreview(c)}b.removeChild(c)}},createPreview:function(b){var a=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((b.previousSibling||{}).className===a){return}if(c==="TeX"){c=[this.filterPreview(b.innerHTML)]}if(c){c=MathJax.HTML.Element("span",{className:a},c);b.parentNode.insertBefore(c,b)}},createMathTag:function(c,b){b=b.replace(/&lt;/g,"<").replace(/&gt;/g,">").replace(/&amp;/g,"&");var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.jsMath2jax],8);MathJax.Ajax.loadComplete("[MathJax]/extensions/jsMath2jax.js");
diff --git a/extensions/mml2jax.js b/extensions/mml2jax.js
index f7ca8b5354..6a86d98b15 100644
--- a/extensions/mml2jax.js
+++ b/extensions/mml2jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/mml2jax.js
+ *  /MathJax-v2/extensions/mml2jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension.mml2jax={version:"2.7.6",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
+MathJax.Extension.mml2jax={version:"2.7.9",config:{preview:"mathml"},MMLnamespace:"http://www.w3.org/1998/Math/MathML",PreProcess:function(e){if(!this.configured){this.config=MathJax.Hub.CombineConfig("mml2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}this.InitBrowser();this.configured=true}if(typeof(e)==="string"){e=document.getElementById(e)}if(!e){e=document.body}var h=[];this.PushMathElements(h,e,"math");this.PushMathElements(h,e,"math",this.MMLnamespace);var d,b;if(typeof(document.namespaces)!=="undefined"){try{for(d=0,b=document.namespaces.length;d<b;d++){var f=document.namespaces[d];if(f.urn===this.MMLnamespace){this.PushMathElements(h,e,f.name+":math")}}}catch(g){}}else{var c=document.getElementsByTagName("html")[0];if(c){for(d=0,b=c.attributes.length;d<b;d++){var a=c.attributes[d];if(a.nodeName.substr(0,6)==="xmlns:"&&a.nodeValue===this.MMLnamespace){this.PushMathElements(h,e,a.nodeName.substr(6)+":math")}}}}this.ProcessMathArray(h)},PushMathElements:function(f,d,a,c){var h,g=MathJax.Hub.config.preRemoveClass;if(c){if(!d.getElementsByTagNameNS){return}h=d.getElementsByTagNameNS(c,a)}else{h=d.getElementsByTagName(a)}for(var e=0,b=h.length;e<b;e++){var j=h[e].parentNode;if(j&&j.className!==g&&!j.isMathJax&&!h[e].prefix===!c){f.push(h[e])}}},ProcessMathArray:function(c){var b,a=c.length;if(a){if(this.MathTagBug){for(b=0;b<a;b++){if(c[b].nodeName==="MATH"){this.ProcessMathFlattened(c[b])}else{this.ProcessMath(c[b])}}}else{for(b=0;b<a;b++){this.ProcessMath(c[b])}}}},ProcessMath:function(e){var d=e.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var a=document.createElement("script");a.type="math/mml";d.insertBefore(a,e);if(this.AttributeBug){var b=this.OuterHTML(e);if(this.CleanupHTML){b=b.replace(/<\?import .*?>/i,"").replace(/<\?xml:namespace .*?\/>/i,"");b=b.replace(/&nbsp;/g,"&#xA0;")}MathJax.HTML.setScript(a,b);d.removeChild(e)}else{var c=MathJax.HTML.Element("span");c.appendChild(e);MathJax.HTML.setScript(a,c.innerHTML)}if(this.config.preview!=="none"){this.createPreview(e,a)}},ProcessMathFlattened:function(f){var d=f.parentNode;if(!d||d.className===MathJax.Hub.config.preRemoveClass){return}var b=document.createElement("script");b.type="math/mml";d.insertBefore(b,f);var c="",e,a=f;while(f&&f.nodeName!=="/MATH"){e=f;f=f.nextSibling;c+=this.NodeHTML(e);e.parentNode.removeChild(e)}if(f&&f.nodeName==="/MATH"){f.parentNode.removeChild(f)}b.text=c+"</math>";if(this.config.preview!=="none"){this.createPreview(a,b)}},NodeHTML:function(e){var c,b,a;if(e.nodeName==="#text"){c=this.quoteHTML(e.nodeValue)}else{if(e.nodeName==="#comment"){c="<!--"+e.nodeValue+"-->"}else{c="<"+e.nodeName.toLowerCase();for(b=0,a=e.attributes.length;b<a;b++){var d=e.attributes[b];if(d.specified&&d.nodeName.substr(0,10)!=="_moz-math-"){c+=" "+d.nodeName.toLowerCase().replace(/xmlns:xmlns/,"xmlns")+"=";var f=d.nodeValue;if(f==null&&d.nodeName==="style"&&e.style){f=e.style.cssText}c+='"'+this.quoteHTML(f)+'"'}}c+=">";if(e.outerHTML!=null&&e.outerHTML.match(/(.<\/[A-Z]+>|\/>)$/)){for(b=0,a=e.childNodes.length;b<a;b++){c+=this.OuterHTML(e.childNodes[b])}c+="</"+e.nodeName.toLowerCase()+">"}}}return c},OuterHTML:function(d){if(d.nodeName.charAt(0)==="#"){return this.NodeHTML(d)}if(!this.AttributeBug){return d.outerHTML}var c=this.NodeHTML(d);for(var b=0,a=d.childNodes.length;b<a;b++){c+=this.OuterHTML(d.childNodes[b])}c+="</"+d.nodeName.toLowerCase()+">";return c},quoteHTML:function(a){if(a==null){a=""}return a.replace(/&/g,"&#x26;").replace(/</g,"&lt;").replace(/>/g,"&gt;").replace(/\"/g,"&quot;")},createPreview:function(g,f){var e=this.config.preview;if(e==="none"){return}var i=false;var c=MathJax.Hub.config.preRemoveClass;if((f.previousSibling||{}).className===c){return}if(e==="mathml"){i=true;if(this.MathTagBug){e="alttext"}else{e=g.cloneNode(true)}}if(e==="alttext"||e==="altimg"){i=true;var d=this.filterPreview(g.getAttribute("alttext"));if(e==="alttext"){if(d!=null){e=MathJax.HTML.TextNode(d)}else{e=null}}else{var a=g.getAttribute("altimg");if(a!=null){var b={width:g.getAttribute("altimg-width"),height:g.getAttribute("altimg-height")};e=MathJax.HTML.Element("img",{src:a,alt:d,style:b})}else{e=null}}}if(e){var h;if(i){h=MathJax.HTML.Element("span",{className:c});h.appendChild(e)}else{h=MathJax.HTML.Element("span",{className:c},e)}f.parentNode.insertBefore(h,f)}},filterPreview:function(a){return a},InitBrowser:function(){var b=MathJax.HTML.Element("span",{id:"<",className:"mathjax",innerHTML:"<math><mi>x</mi><mspace /></math>"});var a=b.outerHTML||"";this.AttributeBug=a!==""&&!(a.match(/id="&lt;"/)&&a.match(/class="mathjax"/)&&a.match(/<\/math>/));this.MathTagBug=b.childNodes.length>1;this.CleanupHTML=MathJax.Hub.Browser.isMSIE}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.mml2jax],5);MathJax.Ajax.loadComplete("[MathJax]/extensions/mml2jax.js");
diff --git a/extensions/tex2jax.js b/extensions/tex2jax.js
index 9dad24951b..a5fa83b042 100644
--- a/extensions/tex2jax.js
+++ b/extensions/tex2jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/tex2jax.js
+ *  /MathJax-v2/extensions/tex2jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Extension.tex2jax={version:"2.7.6",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}else{if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
+MathJax.Extension.tex2jax={version:"2.7.9",config:{inlineMath:[["\\(","\\)"]],displayMath:[["$$","$$"],["\\[","\\]"]],skipTags:["script","noscript","style","textarea","pre","code","annotation","annotation-xml"],ignoreClass:"tex2jax_ignore",processClass:"tex2jax_process",processEscapes:false,processEnvironments:true,processRefs:true,preview:"TeX"},ignoreTags:{br:(MathJax.Hub.Browser.isMSIE&&document.documentMode<9?"\n":" "),wbr:"","#comment":""},PreProcess:function(a){if(!this.configured){this.config=MathJax.Hub.CombineConfig("tex2jax",this.config);if(this.config.Augment){MathJax.Hub.Insert(this,this.config.Augment)}if(typeof(this.config.previewTeX)!=="undefined"&&!this.config.previewTeX){this.config.preview="none"}this.configured=true}if(typeof(a)==="string"){a=document.getElementById(a)}if(!a){a=document.body}if(this.createPatterns()){this.scanElement(a,a.nextSibling)}},createPatterns:function(){var d=[],e=[],c,a,b=this.config;this.match={};for(c=0,a=b.inlineMath.length;c<a;c++){d.push(this.patternQuote(b.inlineMath[c][0]));this.match[b.inlineMath[c][0]]={mode:"",end:b.inlineMath[c][1],pattern:this.endPattern(b.inlineMath[c][1])}}for(c=0,a=b.displayMath.length;c<a;c++){d.push(this.patternQuote(b.displayMath[c][0]));this.match[b.displayMath[c][0]]={mode:"; mode=display",end:b.displayMath[c][1],pattern:this.endPattern(b.displayMath[c][1])}}if(d.length){e.push(d.sort(this.sortLength).join("|"))}if(b.processEnvironments){e.push("\\\\begin\\{([^}]*)\\}")}if(b.processEscapes){e.push("\\\\*\\\\\\$")}if(b.processRefs){e.push("\\\\(eq)?ref\\{[^}]*\\}")}this.start=new RegExp(e.join("|"),"g");this.skipTags=new RegExp("^("+b.skipTags.join("|")+")$","i");var f=[];if(MathJax.Hub.config.preRemoveClass){f.push(MathJax.Hub.config.preRemoveClass)}if(b.ignoreClass){f.push(b.ignoreClass)}this.ignoreClass=(f.length?new RegExp("(^| )("+f.join("|")+")( |$)"):/^$/);this.processClass=new RegExp("(^| )("+b.processClass+")( |$)");return(e.length>0)},patternQuote:function(a){return a.replace(/([\^$(){}+*?\-|\[\]\:\\])/g,"\\$1")},endPattern:function(a){return new RegExp(this.patternQuote(a)+"|\\\\.|[{}]","g")},sortLength:function(d,c){if(d.length!==c.length){return c.length-d.length}return(d==c?0:(d<c?-1:1))},scanElement:function(c,b,g){var a,e,d,f;while(c&&c!=b){if(c.nodeName.toLowerCase()==="#text"){if(!g){c=this.scanText(c)}}else{a=(typeof(c.className)==="undefined"?"":c.className);e=(typeof(c.tagName)==="undefined"?"":c.tagName);if(typeof(a)!=="string"){a=String(a)}f=this.processClass.exec(a);if(c.firstChild&&!a.match(/(^| )MathJax/)&&(f||!this.skipTags.exec(e))){d=(g||this.ignoreClass.exec(a))&&!f;this.scanElement(c.firstChild,b,d)}}if(c){c=c.nextSibling}}},scanText:function(c){if(c.nodeValue.replace(/\s+/,"")==""){return c}var b,d,e=0,a;this.search={start:true};this.pattern=this.start;while(c){a=null;this.pattern.lastIndex=e;e=0;while(c&&c.nodeName.toLowerCase()==="#text"&&(b=this.pattern.exec(c.nodeValue))){if(this.search.start){c=this.startMatch(b,c)}else{c=this.endMatch(b,c)}}if(this.search.matched){c=this.encloseMath(c)}else{if(!this.search.start&&!this.search.close){a=this.search}}if(c){do{d=c;c=c.nextSibling}while(c&&this.ignoreTags[c.nodeName.toLowerCase()]!=null);if(!c||c.nodeName!=="#text"){if(!a){return(this.search.close?this.prevEndMatch():d)}c=a.open;e=a.opos+a.olen+(a.blen||0);this.search={start:true};this.pattern=this.start}}}return c},startMatch:function(a,b){var f=this.match[a[0]];if(f!=null){this.search={end:f.end,mode:f.mode,pcount:0,open:b,olen:a[0].length,opos:this.pattern.lastIndex-a[0].length};this.switchPattern(f.pattern)}else{if(a[0].substr(0,6)==="\\begin"){this.search={end:"\\end{"+a[1]+"}",mode:"; mode=display",pcount:0,open:b,olen:0,opos:this.pattern.lastIndex-a[0].length,blen:a[1].length+3,isBeginEnd:true};this.switchPattern(this.endPattern(this.search.end))}else{if(a[0].substr(0,4)==="\\ref"||a[0].substr(0,6)==="\\eqref"){this.search={mode:"",end:"",open:b,pcount:0,olen:0,opos:this.pattern.lastIndex-a[0].length};return this.endMatch([""],b)}else{var d=a[0].substr(0,a[0].length-1),g,c;if(d.length%2===0){c=[d.replace(/\\\\/g,"\\")];g=1}else{c=[d.substr(1).replace(/\\\\/g,"\\"),"$"];g=0}c=MathJax.HTML.Element("span",null,c);var e=MathJax.HTML.TextNode(b.nodeValue.substr(0,a.index));b.nodeValue=b.nodeValue.substr(a.index+a[0].length-g);b.parentNode.insertBefore(c,b);b.parentNode.insertBefore(e,c);this.pattern.lastIndex=g}}}return b},endMatch:function(a,c){var b=this.search;if(a[0]==b.end){if(!b.close||b.pcount===0){b.close=c;b.cpos=this.pattern.lastIndex;b.clen=(b.isBeginEnd?0:a[0].length)}if(b.pcount===0){b.matched=true;c=this.encloseMath(c);this.switchPattern(this.start)}}if(a[0]==="{"){b.pcount++}else{if(a[0]==="}"&&b.pcount){b.pcount--}}return c},prevEndMatch:function(){this.search.matched=true;var a=this.encloseMath(this.search.close);this.switchPattern(this.start);return a},switchPattern:function(a){a.lastIndex=this.pattern.lastIndex;this.pattern=a;this.search.start=(a===this.start)},encloseMath:function(b){var a=this.search,g=a.close,f,d,c;if(a.cpos===g.length){g=g.nextSibling}else{g=g.splitText(a.cpos)}if(!g){f=g=MathJax.HTML.addText(a.close.parentNode,"")}a.close=g;d=(a.opos?a.open.splitText(a.opos):a.open);while((c=d.nextSibling)&&c!==g){if(c.nodeValue!==null){if(c.nodeName==="#comment"){d.nodeValue+=c.nodeValue.replace(/^\[CDATA\[((.|\n|\r)*)\]\]$/,"$1")}else{d.nodeValue+=c.nodeValue}}else{var h=this.ignoreTags[c.nodeName.toLowerCase()];d.nodeValue+=(h==null?" ":h)}d.parentNode.removeChild(c)}var e=d.nodeValue.substr(a.olen,d.nodeValue.length-a.olen-a.clen);d.parentNode.removeChild(d);if(this.config.preview!=="none"){this.createPreview(a.mode,e)}d=this.createMathTag(a.mode,e);this.search={};this.pattern.lastIndex=0;if(f){f.parentNode.removeChild(f)}return d},insertNode:function(b){var a=this.search;a.close.parentNode.insertBefore(b,a.close)},createPreview:function(d,a){var b=MathJax.Hub.config.preRemoveClass;var c=this.config.preview;if(c==="none"){return}if((this.search.close.previousSibling||{}).className===b){return}if(c==="TeX"){c=[this.filterPreview(a)]}if(c){c=MathJax.HTML.Element("span",{className:b},c);this.insertNode(c)}},createMathTag:function(c,b){var a=document.createElement("script");a.type="math/tex"+c;MathJax.HTML.setScript(a,b);this.insertNode(a);return a},filterPreview:function(a){return a}};MathJax.Hub.Register.PreProcessor(["PreProcess",MathJax.Extension.tex2jax]);MathJax.Ajax.loadComplete("[MathJax]/extensions/tex2jax.js");
diff --git a/extensions/toMathML.js b/extensions/toMathML.js
index 25d6beee1e..e9f5c85930 100644
--- a/extensions/toMathML.js
+++ b/extensions/toMathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/extensions/toMathML.js
+ *  /MathJax-v2/extensions/toMathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
+MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.Hub.config.menuSettings;a.mbase.Augment({toMathML:function(l){var h=(this.inferred&&this.parent.inferRow);if(l==null){l=""}var f=this.type,e=this.toMathMLattributes();if(f==="mspace"){return l+"<"+f+e+" />"}var k=[],j=(this.isToken?"":l+(h?"":"  "));for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){k.push(this.data[g].toMathML(j))}else{if(!this.isToken&&!this.isChars){k.push(j+"<mrow />")}}}if(this.isToken||this.isChars){return l+"<"+f+e+">"+k.join("")+"</"+f+">"}if(h){return k.join("\n")}if(k.length===0||(k.length===1&&k[0]==="")){return l+"<"+f+e+" />"}return l+"<"+f+e+">\n"+k.join("\n")+"\n"+l+"</"+f+">"},toMathMLattributes:function(){var j=(this.type==="mstyle"?a.math.prototype.defaults:this.defaults);var h=(this.attrNames||a.copyAttributeNames),g=a.skipAttributes,l=a.copyAttributes;var e=[];if(this.type==="math"&&(!this.attr||!("xmlns" in this.attr))){e.push('xmlns="http://www.w3.org/1998/Math/MathML"')}if(!this.attrNames){for(var k in j){if(!g[k]&&!l[k]&&j.hasOwnProperty(k)){if(this[k]!=null&&this[k]!==j[k]){if(this.Get(k,null,1)!==this[k]){e.push(k+'="'+this.toMathMLattribute(this[k])+'"')}}}}}for(var f=0,d=h.length;f<d;f++){if(l[h[f]]===1&&!j.hasOwnProperty(h[f])){continue}value=(this.attr||{})[h[f]];if(value==null){value=this[h[f]]}if(value!=null){e.push(h[f]+'="'+this.toMathMLquote(value)+'"')}}this.toMathMLclass(e);if(e.length){return" "+e.join(" ")}else{return""}},toMathMLclass:function(d){var f=[];if(this["class"]){f.push(this["class"])}if(this.isa(a.TeXAtom)&&b.texHints){var e=["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"][this.texClass];if(e){f.push("MJX-TeXAtom-"+e);if(e==="OP"&&!this.movablelimits){f.push("MJX-fixedlimits")}}}if(this.mathvariant&&this.toMathMLvariants[this.mathvariant]){f.push("MJX"+this.mathvariant)}if(this.variantForm){f.push("MJX-variant")}if(f.length){d.unshift('class="'+this.toMathMLquote(f.join(" "))+'"')}},toMathMLattribute:function(d){if(typeof(d)==="string"&&d.replace(/ /g,"").match(/^(([-+])?(\d+(\.\d*)?|\.\d+))mu$/)){return(RegExp.$2||"")+((1/18)*RegExp.$3).toFixed(3).replace(/\.?0+$/,"")+"em"}else{if(this.toMathMLvariants[d]){return this.toMathMLvariants[d]}}return this.toMathMLquote(d)},toMathMLvariants:{"-tex-caligraphic":a.VARIANT.SCRIPT,"-tex-caligraphic-bold":a.VARIANT.BOLDSCRIPT,"-tex-oldstyle":a.VARIANT.NORMAL,"-tex-oldstyle-bold":a.VARIANT.BOLD,"-tex-mathit":a.VARIANT.ITALIC},toMathMLquote:function(f){f=String(f).split("");for(var g=0,d=f.length;g<d;g++){var k=f[g].charCodeAt(0);if(k<=55295||57344<=k){if(k>126||(k<32&&k!==10&&k!==13&&k!==9)){f[g]="&#x"+k.toString(16).toUpperCase()+";"}else{var j={"&":"&amp;","<":"&lt;",">":"&gt;",'"':"&quot;"}[f[g]];if(j){f[g]=j}}}else{if(g+1<d){var h=f[g+1].charCodeAt(0);var e=(((k-55296)<<10)+(h-56320)+65536);f[g]="&#x"+e.toString(16).toUpperCase()+";";f[g+1]="";g++}else{f[g]=""}}}return f.join("")}});a.math.Augment({toMathML:function(d,e){var g;if(d==null){d=""}if(e&&e.originalText&&b.semantics){g=MathJax.InputJax[e.inputJax].annotationEncoding}var n=(this.data[0]&&this.data[0].data.length>1);var p=this.type,k=this.toMathMLattributes();var j=[],o=d+(g?"  "+(n?"  ":""):"")+"  ";for(var h=0,f=this.data.length;h<f;h++){if(this.data[h]){j.push(this.data[h].toMathML(o))}else{j.push(o+"<mrow />")}}if(j.length===0||(j.length===1&&j[0]==="")){if(!g){return"<"+p+k+" />"}j.push(o+"<mrow />")}if(g){if(n){j.unshift(d+"    <mrow>");j.push(d+"    </mrow>")}j.unshift(d+"  <semantics>");var l=e.originalText.replace(/[&<>]/g,function(i){return{">":"&gt;","<":"&lt;","&":"&amp;"}[i]});j.push(d+'    <annotation encoding="'+this.toMathMLquote(g)+'">'+l+"</annotation>");j.push(d+"  </semantics>")}return d+"<"+p+k+">\n"+j.join("\n")+"\n"+d+"</"+p+">"}});a.msubsup.Augment({toMathML:function(j){var f=this.type;if(this.data[this.sup]==null){f="msub"}if(this.data[this.sub]==null){f="msup"}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(j+"  "))}}return j+"<"+f+e+">\n"+h.join("\n")+"\n"+j+"</"+f+">"}});a.munderover.Augment({toMathML:function(k){var f=this.type;var j=this.data[this.base];if(j&&j.isa(a.TeXAtom)&&j.movablelimits&&!j.Get("displaystyle")){type="msubsup";if(this.data[this.under]==null){f="msup"}if(this.data[this.over]==null){f="msub"}}else{if(this.data[this.under]==null){f="mover"}if(this.data[this.over]==null){f="munder"}}var e=this.toMathMLattributes();delete this.data[0].inferred;var h=[];for(var g=0,d=this.data.length;g<d;g++){if(this.data[g]){h.push(this.data[g].toMathML(k+"  "))}}return k+"<"+f+e+">\n"+h.join("\n")+"\n"+k+"</"+f+">"}});a.TeXAtom.Augment({toMathML:function(e){var d=this.toMathMLattributes();if(!d&&this.data[0].data.length===1){return e.substr(2)+this.data[0].toMathML(e)}return e+"<mrow"+d+">\n"+this.data[0].toMathML(e+"  ")+"\n"+e+"</mrow>"}});a.chars.Augment({toMathML:function(d){return(d||"")+this.toMathMLquote(this.toString())}});a.entity.Augment({toMathML:function(d){return(d||"")+"&"+this.toMathMLquote(this.data[0])+";<!-- "+this.toString()+" -->"}});a.xml.Augment({toMathML:function(d){return(d||"")+this.toString()}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({toMathML:function(d){return this.Core().toMathML(d)}})});MathJax.Hub.Startup.signal.Post("toMathML Ready")});MathJax.Ajax.loadComplete("[MathJax]/extensions/toMathML.js");
diff --git a/jax/element/mml/jax.js b/jax/element/mml/jax.js
index 9f07507d66..d5891752bc 100644
--- a/jax/element/mml/jax.js
+++ b/jax/element/mml/jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/jax.js
+ *  /MathJax-v2/jax/element/mml/jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.6",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
+MathJax.ElementJax.mml=MathJax.ElementJax({mimeType:"jax/mml"},{id:"mml",version:"2.7.9",directory:MathJax.ElementJax.directory+"/mml",extensionDir:MathJax.ElementJax.extensionDir+"/mml",optableDir:MathJax.ElementJax.directory+"/mml/optable"});MathJax.ElementJax.mml.Augment({Init:function(){if(arguments.length===1&&arguments[0].type==="math"){this.root=arguments[0]}else{this.root=MathJax.ElementJax.mml.math.apply(this,arguments)}if(this.root.attr&&this.root.attr.mode){if(!this.root.display&&this.root.attr.mode==="display"){this.root.display="block";this.root.attrNames.push("display")}delete this.root.attr.mode;for(var b=0,a=this.root.attrNames.length;b<a;b++){if(this.root.attrNames[b]==="mode"){this.root.attrNames.splice(b,1);break}}}}},{INHERIT:"_inherit_",AUTO:"_auto_",SIZE:{INFINITY:"infinity",SMALL:"small",NORMAL:"normal",BIG:"big"},COLOR:{TRANSPARENT:"transparent"},VARIANT:{NORMAL:"normal",BOLD:"bold",ITALIC:"italic",BOLDITALIC:"bold-italic",DOUBLESTRUCK:"double-struck",FRAKTUR:"fraktur",BOLDFRAKTUR:"bold-fraktur",SCRIPT:"script",BOLDSCRIPT:"bold-script",SANSSERIF:"sans-serif",BOLDSANSSERIF:"bold-sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",MONOSPACE:"monospace",INITIAL:"initial",TAILED:"tailed",LOOPED:"looped",STRETCHED:"stretched",CALIGRAPHIC:"-tex-caligraphic",OLDSTYLE:"-tex-oldstyle"},FORM:{PREFIX:"prefix",INFIX:"infix",POSTFIX:"postfix"},LINEBREAK:{AUTO:"auto",NEWLINE:"newline",NOBREAK:"nobreak",GOODBREAK:"goodbreak",BADBREAK:"badbreak"},LINEBREAKSTYLE:{BEFORE:"before",AFTER:"after",DUPLICATE:"duplicate",INFIXLINBREAKSTYLE:"infixlinebreakstyle"},INDENTALIGN:{LEFT:"left",CENTER:"center",RIGHT:"right",AUTO:"auto",ID:"id",INDENTALIGN:"indentalign"},INDENTSHIFT:{INDENTSHIFT:"indentshift"},LINETHICKNESS:{THIN:"thin",MEDIUM:"medium",THICK:"thick"},NOTATION:{LONGDIV:"longdiv",ACTUARIAL:"actuarial",RADICAL:"radical",BOX:"box",ROUNDEDBOX:"roundedbox",CIRCLE:"circle",LEFT:"left",RIGHT:"right",TOP:"top",BOTTOM:"bottom",UPDIAGONALSTRIKE:"updiagonalstrike",DOWNDIAGONALSTRIKE:"downdiagonalstrike",UPDIAGONALARROW:"updiagonalarrow",VERTICALSTRIKE:"verticalstrike",HORIZONTALSTRIKE:"horizontalstrike",PHASORANGLE:"phasorangle",MADRUWB:"madruwb"},ALIGN:{TOP:"top",BOTTOM:"bottom",CENTER:"center",BASELINE:"baseline",AXIS:"axis",LEFT:"left",RIGHT:"right"},LINES:{NONE:"none",SOLID:"solid",DASHED:"dashed"},SIDE:{LEFT:"left",RIGHT:"right",LEFTOVERLAP:"leftoverlap",RIGHTOVERLAP:"rightoverlap"},WIDTH:{AUTO:"auto",FIT:"fit"},ACTIONTYPE:{TOGGLE:"toggle",STATUSLINE:"statusline",TOOLTIP:"tooltip",INPUT:"input"},LENGTH:{VERYVERYTHINMATHSPACE:"veryverythinmathspace",VERYTHINMATHSPACE:"verythinmathspace",THINMATHSPACE:"thinmathspace",MEDIUMMATHSPACE:"mediummathspace",THICKMATHSPACE:"thickmathspace",VERYTHICKMATHSPACE:"verythickmathspace",VERYVERYTHICKMATHSPACE:"veryverythickmathspace",NEGATIVEVERYVERYTHINMATHSPACE:"negativeveryverythinmathspace",NEGATIVEVERYTHINMATHSPACE:"negativeverythinmathspace",NEGATIVETHINMATHSPACE:"negativethinmathspace",NEGATIVEMEDIUMMATHSPACE:"negativemediummathspace",NEGATIVETHICKMATHSPACE:"negativethickmathspace",NEGATIVEVERYTHICKMATHSPACE:"negativeverythickmathspace",NEGATIVEVERYVERYTHICKMATHSPACE:"negativeveryverythickmathspace"},OVERFLOW:{LINBREAK:"linebreak",SCROLL:"scroll",ELIDE:"elide",TRUNCATE:"truncate",SCALE:"scale"},UNIT:{EM:"em",EX:"ex",PX:"px",IN:"in",CM:"cm",MM:"mm",PT:"pt",PC:"pc"},TEXCLASS:{ORD:0,OP:1,BIN:2,REL:3,OPEN:4,CLOSE:5,PUNCT:6,INNER:7,VCENTER:8,NONE:-1},TEXCLASSNAMES:["ORD","OP","BIN","REL","OPEN","CLOSE","PUNCT","INNER","VCENTER"],skipAttributes:{texClass:true,useHeight:true,texprimestyle:true},copyAttributes:{displaystyle:1,scriptlevel:1,open:1,close:1,form:1,actiontype:1,fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":1,href:true,style:true},copyAttributeNames:["displaystyle","scriptlevel","open","close","form","actiontype","fontfamily","fontsize","fontweight","fontstyle","color","background","id","class","href","style"],nocopyAttributes:{fontfamily:true,fontsize:true,fontweight:true,fontstyle:true,color:true,background:true,id:true,"class":true,href:true,style:true,xmlns:true},Error:function(d,e){var c=this.merror(d),b=MathJax.Localization.fontDirection(),a=MathJax.Localization.fontFamily();if(e){c=c.With(e)}if(b||a){c=this.mstyle(c);if(b){c.dir=b}if(a){c.style.fontFamily="font-family: "+a}}return c}});(function(a){a.mbase=MathJax.Object.Subclass({type:"base",isToken:false,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},noInherit:{},noInheritAttribute:{texClass:true},getRemoved:{},linebreakContainer:false,Init:function(){this.data=[];if(this.inferRow&&!(arguments.length===1&&arguments[0].inferred)){this.Append(a.mrow().With({inferred:true,notParent:true}))}this.Append.apply(this,arguments)},With:function(e){for(var f in e){if(e.hasOwnProperty(f)){this[f]=e[f]}}return this},Append:function(){if(this.inferRow&&this.data.length){this.data[0].Append.apply(this.data[0],arguments)}else{for(var f=0,e=arguments.length;f<e;f++){this.SetData(this.data.length,arguments[f])}}},SetData:function(e,f){if(f!=null){if(!(f instanceof a.mbase)){f=(this.isToken||this.isChars?a.chars(f):a.mtext(f))}f.parent=this;f.setInherit(this.inheritFromMe?this:this.inherit)}this.data[e]=f},Parent:function(){var e=this.parent;while(e&&e.notParent){e=e.parent}return e},Get:function(f,k,l){if(!l){if(this[f]!=null){return this[f]}if(this.attr&&this.attr[f]!=null){return this.attr[f]}}var g=this.Parent();if(g&&g["adjustChild_"+f]!=null){return(g["adjustChild_"+f])(this.childPosition(),k)}var j=this.inherit;var e=j;while(j){var i=j[f];if(i==null&&j.attr){i=j.attr[f]}if(j.removedStyles&&j.getRemoved[f]&&i==null){i=j.removedStyles[j.getRemoved[f]]}if(i!=null&&j.noInheritAttribute&&!j.noInheritAttribute[f]){var h=j.noInherit[this.type];if(!(h&&h[f])){return i}}e=j;j=j.inherit}if(!k){if(this.defaults[f]===a.AUTO){return this.autoDefault(f)}if(this.defaults[f]!==a.INHERIT&&this.defaults[f]!=null){return this.defaults[f]}if(e){return e.defaults[f]}}return null},hasValue:function(e){return(this.Get(e,true)!=null)},getValues:function(){var f={};for(var g=0,e=arguments.length;g<e;g++){f[arguments[g]]=this.Get(arguments[g])}return f},adjustChild_scriptlevel:function(f,e){return this.Get("scriptlevel",e)},adjustChild_displaystyle:function(f,e){return this.Get("displaystyle",e)},adjustChild_texprimestyle:function(f,e){return this.Get("texprimestyle",e)},hasMMLspacing:function(){return false},childPosition:function(){var h=this,g=h.parent;while(g.notParent){h=g;g=h.parent}for(var f=0,e=g.data.length;f<e;f++){if(g.data[f]===h){return f}}return null},setInherit:function(g){if(g!==this.inherit&&this.inherit==null){this.inherit=g;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].setInherit){this.data[f].setInherit(g)}}}},setTeXclass:function(e){this.getPrevClass(e);return(typeof(this.texClass)!=="undefined"?this:e)},getPrevClass:function(e){if(e){this.prevClass=e.Get("texClass");this.prevLevel=e.Get("scriptlevel")}},updateTeXclass:function(e){if(e){this.prevClass=e.prevClass;delete e.prevClass;this.prevLevel=e.prevLevel;delete e.prevLevel;this.texClass=e.Get("texClass")}},texSpacing:function(){var f=(this.prevClass!=null?this.prevClass:a.TEXCLASS.NONE);var e=(this.Get("texClass")||a.TEXCLASS.ORD);if(f===a.TEXCLASS.NONE||e===a.TEXCLASS.NONE){return""}if(f===a.TEXCLASS.VCENTER){f=a.TEXCLASS.ORD}if(e===a.TEXCLASS.VCENTER){e=a.TEXCLASS.ORD}var g=this.TEXSPACE[f][e];if((this.prevLevel>0||this.Get("scriptlevel")>0)&&g>=0){return""}return this.TEXSPACELENGTH[Math.abs(g)]},TEXSPACELENGTH:["",a.LENGTH.THINMATHSPACE,a.LENGTH.MEDIUMMATHSPACE,a.LENGTH.THICKMATHSPACE],TEXSPACE:[[0,-1,2,3,0,0,0,1],[-1,-1,0,3,0,0,0,1],[2,2,0,0,2,0,0,2],[3,3,0,0,3,0,0,3],[0,0,0,0,0,0,0,0],[0,-1,2,3,0,0,0,1],[1,1,0,1,1,1,1,1],[1,-1,2,3,1,0,1,1]],autoDefault:function(e){return""},isSpacelike:function(){return false},isEmbellished:function(){return false},Core:function(){return this},CoreMO:function(){return this},childIndex:function(g){if(g==null){return}for(var f=0,e=this.data.length;f<e;f++){if(g===this.data[f]){return f}}},CoreIndex:function(){return(this.inferRow?this.data[0]||this:this).childIndex(this.Core())},hasNewline:function(){if(this.isEmbellished()){return this.CoreMO().hasNewline()}if(this.isToken||this.linebreakContainer){return false}for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&this.data[f].hasNewline()){return true}}return false},array:function(){if(this.inferred){return this.data}else{return[this]}},toString:function(){return this.type+"("+this.data.join(",")+")"},getAnnotation:function(){return null}},{childrenSpacelike:function(){for(var f=0,e=this.data.length;f<e;f++){if(!this.data[f].isSpacelike()){return false}}return true},childEmbellished:function(){return(this.data[0]&&this.data[0].isEmbellished())},childCore:function(){return(this.inferRow&&this.data[0]?this.data[0].Core():this.data[0])},childCoreMO:function(){return(this.data[0]?this.data[0].CoreMO():null)},setChildTeXclass:function(e){if(this.data[0]){e=this.data[0].setTeXclass(e);this.updateTeXclass(this.data[0])}return e},setBaseTeXclasses:function(g){this.getPrevClass(g);this.texClass=null;if(this.data[0]){if(this.isEmbellished()||this.data[0].isa(a.mi)){g=this.data[0].setTeXclass(g);this.updateTeXclass(this.Core())}else{this.data[0].setTeXclass();g=this}}else{g=this}for(var f=1,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}return g},setSeparateTeXclasses:function(g){this.getPrevClass(g);for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]){this.data[f].setTeXclass()}}if(this.isEmbellished()){this.updateTeXclass(this.Core())}return this}});a.mi=a.mbase.Subclass({type:"mi",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.AUTO,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT},autoDefault:function(f){if(f==="mathvariant"){var e=(this.data[0]||"").toString();return(e.length===1||(e.length===2&&e.charCodeAt(0)>=55296&&e.charCodeAt(0)<56320)?a.VARIANT.ITALIC:a.VARIANT.NORMAL)}return""},setTeXclass:function(f){this.getPrevClass(f);var e=this.data.join("");if(e.length>1&&e.match(/^[a-z][a-z0-9]*$/i)&&this.texClass===a.TEXCLASS.ORD){this.texClass=a.TEXCLASS.OP;this.autoOP=true}return this}});a.mn=a.mbase.Subclass({type:"mn",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mo=a.mbase.Subclass({type:"mo",isToken:true,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,form:a.AUTO,fence:a.AUTO,separator:a.AUTO,lspace:a.AUTO,rspace:a.AUTO,stretchy:a.AUTO,symmetric:a.AUTO,maxsize:a.AUTO,minsize:a.AUTO,largeop:a.AUTO,movablelimits:a.AUTO,accent:a.AUTO,linebreak:a.LINEBREAK.AUTO,lineleading:a.INHERIT,linebreakstyle:a.AUTO,linebreakmultchar:a.INHERIT,indentalign:a.INHERIT,indentshift:a.INHERIT,indenttarget:a.INHERIT,indentalignfirst:a.INHERIT,indentshiftfirst:a.INHERIT,indentalignlast:a.INHERIT,indentshiftlast:a.INHERIT,texClass:a.AUTO},defaultDef:{form:a.FORM.INFIX,fence:false,separator:false,lspace:a.LENGTH.THICKMATHSPACE,rspace:a.LENGTH.THICKMATHSPACE,stretchy:false,symmetric:false,maxsize:a.SIZE.INFINITY,minsize:"0em",largeop:false,movablelimits:false,accent:false,linebreak:a.LINEBREAK.AUTO,lineleading:"1ex",linebreakstyle:"before",indentalign:a.INDENTALIGN.AUTO,indentshift:"0",indenttarget:"",indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,texClass:a.TEXCLASS.REL},SPACE_ATTR:{lspace:1,rspace:2},useMMLspacing:3,hasMMLspacing:function(){if(this.useMMLspacing){return true}return this.form&&(this.OPTABLE[this.form]||{})[this.data.join("")]},autoDefault:function(g,n){var l=this.def;if(!l){if(g==="form"){return this.getForm()}var k=this.data.join("");var f=[this.Get("form"),a.FORM.INFIX,a.FORM.POSTFIX,a.FORM.PREFIX];for(var h=0,e=f.length;h<e;h++){var j=this.OPTABLE[f[h]][k];if(j){l=this.makeDef(j);break}}if(!l){l=this.CheckRange(k)}if(!l&&n){l={}}else{if(!l){l=MathJax.Hub.Insert({},this.defaultDef)}if(this.parent){this.def=l}else{l=MathJax.Hub.Insert({},l)}l.form=f[0]}}this.useMMLspacing&=~(this.SPACE_ATTR[g]||0);if(l[g]!=null){return l[g]}else{if(!n){return this.defaultDef[g]}}return""},CheckRange:function(j){var k=j.charCodeAt(0);if(k>=55296&&k<56320){k=(((k-55296)<<10)+(j.charCodeAt(1)-56320))+65536}for(var g=0,e=this.RANGES.length;g<e&&this.RANGES[g][0]<=k;g++){if(k<=this.RANGES[g][1]){if(this.RANGES[g][3]){var f=a.optableDir+"/"+this.RANGES[g][3]+".js";this.RANGES[g][3]=null;MathJax.Hub.RestartAfter(MathJax.Ajax.Require(f))}var h=a.TEXCLASSNAMES[this.RANGES[g][2]];h=this.OPTABLE.infix[j]=a.mo.OPTYPES[h==="BIN"?"BIN3":h];return this.makeDef(h)}}return null},makeDef:function(f){if(f[2]==null){f[2]=this.defaultDef.texClass}if(!f[3]){f[3]={}}var e=MathJax.Hub.Insert({},f[3]);e.lspace=this.SPACE[f[0]];e.rspace=this.SPACE[f[1]];e.texClass=f[2];if(e.texClass===a.TEXCLASS.REL&&(this.movablelimits||this.data.join("").match(/^[a-z]+$/i))){e.texClass=a.TEXCLASS.OP}return e},getForm:function(){var e=this,g=this.parent,f=this.Parent();while(f&&f.isEmbellished()){e=g;g=f.parent;f=f.Parent()}if(g&&g.type==="mrow"&&g.NonSpaceLength()!==1){if(g.FirstNonSpace()===e){return a.FORM.PREFIX}if(g.LastNonSpace()===e){return a.FORM.POSTFIX}}return a.FORM.INFIX},isEmbellished:function(){return true},hasNewline:function(){return(this.Get("linebreak")===a.LINEBREAK.NEWLINE)},CoreParent:function(){var e=this;while(e&&e.isEmbellished()&&e.CoreMO()===this&&!e.isa(a.math)){e=e.Parent()}return e},CoreText:function(e){if(!e){return""}if(e.isEmbellished()){return e.CoreMO().data.join("")}while((((e.isa(a.mrow)||e.isa(a.TeXAtom)||e.isa(a.mstyle)||e.isa(a.mphantom))&&e.data.length===1)||e.isa(a.munderover))&&e.data[0]){e=e.data[0]}if(!e.isToken){return""}else{return e.data.join("")}},remapChars:{"*":"\u2217",'"':"\u2033","\u00B0":"\u2218","\u00B2":"2","\u00B3":"3","\u00B4":"\u2032","\u00B9":"1"},remap:function(f,e){f=f.replace(/-/g,"\u2212");if(e){f=f.replace(/'/g,"\u2032").replace(/`/g,"\u2035");if(f.length===1){f=e[f]||f}}return f},setTeXclass:function(f){var e=this.getValues("form","lspace","rspace","fence");if(this.hasMMLspacing()){this.texClass=a.TEXCLASS.NONE;return this}if(e.fence&&!this.texClass){if(e.form===a.FORM.PREFIX){this.texClass=a.TEXCLASS.OPEN}if(e.form===a.FORM.POSTFIX){this.texClass=a.TEXCLASS.CLOSE}}this.texClass=this.Get("texClass");if(this.data.join("")==="\u2061"){if(f){f.texClass=a.TEXCLASS.OP;f.fnOP=true}this.texClass=this.prevClass=a.TEXCLASS.NONE;return f}return this.adjustTeXclass(f)},adjustTeXclass:function(f){if(this.texClass===a.TEXCLASS.NONE){return f}if(f){if(f.autoOP&&(this.texClass===a.TEXCLASS.BIN||this.texClass===a.TEXCLASS.REL)){f.texClass=a.TEXCLASS.ORD}this.prevClass=f.texClass||a.TEXCLASS.ORD;this.prevLevel=f.Get("scriptlevel")}else{this.prevClass=a.TEXCLASS.NONE}if(this.texClass===a.TEXCLASS.BIN&&(this.prevClass===a.TEXCLASS.NONE||this.prevClass===a.TEXCLASS.BIN||this.prevClass===a.TEXCLASS.OP||this.prevClass===a.TEXCLASS.REL||this.prevClass===a.TEXCLASS.OPEN||this.prevClass===a.TEXCLASS.PUNCT)){this.texClass=a.TEXCLASS.ORD}else{if(this.prevClass===a.TEXCLASS.BIN&&(this.texClass===a.TEXCLASS.REL||this.texClass===a.TEXCLASS.CLOSE||this.texClass===a.TEXCLASS.PUNCT)){f.texClass=this.prevClass=a.TEXCLASS.ORD}else{if(this.texClass===a.TEXCLASS.BIN){var g=this,e=this.parent;while(e&&e.parent&&e.isEmbellished()&&(e.data.length===1||(e.type!=="mrow"&&e.Core()===g))){g=e;e=e.parent}if(e.data[e.data.length-1]===g){this.texClass=a.TEXCLASS.ORD}}}}return this}});a.mtext=a.mbase.Subclass({type:"mtext",isToken:true,isSpacelike:function(){return true},texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT}});a.mspace=a.mbase.Subclass({type:"mspace",isToken:true,isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"0em",height:"0ex",depth:"0ex",linebreak:a.LINEBREAK.AUTO},hasDimAttr:function(){return(this.hasValue("width")||this.hasValue("height")||this.hasValue("depth"))},hasNewline:function(){return(!this.hasDimAttr()&&this.Get("linebreak")===a.LINEBREAK.NEWLINE)}});a.ms=a.mbase.Subclass({type:"ms",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathvariant:a.INHERIT,mathsize:a.INHERIT,mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,lquote:'"',rquote:'"'}});a.mglyph=a.mbase.Subclass({type:"mglyph",isToken:true,texClass:a.TEXCLASS.ORD,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,alt:"",src:"",width:a.AUTO,height:a.AUTO,valign:"0em"}});a.mrow=a.mbase.Subclass({type:"mrow",isSpacelike:a.mbase.childrenSpacelike,inferred:false,notParent:false,isEmbellished:function(){var f=false;for(var g=0,e=this.data.length;g<e;g++){if(this.data[g]==null){continue}if(this.data[g].isEmbellished()){if(f){return false}f=true;this.core=g}else{if(!this.data[g].isSpacelike()){return false}}}return f},NonSpaceLength:function(){var g=0;for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){g++}}return g},FirstNonSpace:function(){for(var f=0,e=this.data.length;f<e;f++){if(this.data[f]&&!this.data[f].isSpacelike()){return this.data[f]}}return null},LastNonSpace:function(){for(var e=this.data.length-1;e>=0;e--){if(this.data[0]&&!this.data[e].isSpacelike()){return this.data[e]}}return null},Core:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core]},CoreMO:function(){if(!(this.isEmbellished())||typeof(this.core)==="undefined"){return this}return this.data[this.core].CoreMO()},toString:function(){if(this.inferred){return"["+this.data.join(",")+"]"}return this.SUPER(arguments).toString.call(this)},setTeXclass:function(g){var f,e=this.data.length;if((this.open||this.close)&&(!g||!g.fnOP)){this.getPrevClass(g);g=null;for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(!this.hasOwnProperty("texClass")){this.texClass=a.TEXCLASS.INNER}return this}else{for(f=0;f<e;f++){if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data[0]){this.updateTeXclass(this.data[0])}return g}},getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.mfrac=a.mbase.Subclass({type:"mfrac",num:0,den:1,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,linethickness:a.LINETHICKNESS.MEDIUM,numalign:a.ALIGN.CENTER,denomalign:a.ALIGN.CENTER,bevelled:false},adjustChild_displaystyle:function(e){return false},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(!this.Get("displaystyle")||e>0){e++}return e},adjustChild_texprimestyle:function(e){if(e==this.den){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.msqrt=a.mbase.Subclass({type:"msqrt",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD,setTeXclass:a.mbase.setSeparateTeXclasses,adjustChild_texprimestyle:function(e){return true}});a.mroot=a.mbase.Subclass({type:"mroot",linebreakContainer:true,texClass:a.TEXCLASS.ORD,adjustChild_displaystyle:function(e){if(e===1){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f===1){e+=2}return e},adjustChild_texprimestyle:function(e){if(e===0){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setSeparateTeXclasses});a.mstyle=a.mbase.Subclass({type:"mstyle",isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,inferRow:true,defaults:{scriptlevel:a.INHERIT,displaystyle:a.INHERIT,scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8pt",mathbackground:a.INHERIT,mathcolor:a.INHERIT,dir:a.INHERIT,infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,decimalseparator:"."},adjustChild_scriptlevel:function(g){var f=this.scriptlevel;if(f==null){f=this.Get("scriptlevel")}else{if(String(f).match(/^ *[-+]/)){var e=this.Get("scriptlevel",null,true);f=e+parseInt(f)}}return f},inheritFromMe:true,noInherit:{mpadded:{width:true,height:true,depth:true,lspace:true,voffset:true},mtable:{width:true,height:true,depth:true,align:true}},getRemoved:{fontfamily:"fontFamily",fontweight:"fontWeight",fontstyle:"fontStyle",fontsize:"fontSize"},setTeXclass:a.mbase.setChildTeXclass});a.merror=a.mbase.Subclass({type:"merror",inferRow:true,linebreakContainer:true,texClass:a.TEXCLASS.ORD});a.mpadded=a.mbase.Subclass({type:"mpadded",inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,width:"",height:"",depth:"",lspace:0,voffset:0},setTeXclass:a.mbase.setChildTeXclass});a.mphantom=a.mbase.Subclass({type:"mphantom",texClass:a.TEXCLASS.ORD,inferRow:true,isSpacelike:a.mbase.childrenSpacelike,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,setTeXclass:a.mbase.setChildTeXclass});a.mfenced=a.mbase.Subclass({type:"mfenced",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,open:"(",close:")",separators:","},addFakeNodes:function(){var f=this.getValues("open","close","separators");f.open=f.open.replace(/[ \t\n\r]/g,"");f.close=f.close.replace(/[ \t\n\r]/g,"");f.separators=f.separators.replace(/[ \t\n\r]/g,"");if(f.open!==""){this.SetData("open",a.mo(f.open).With({fence:true,form:a.FORM.PREFIX,texClass:a.TEXCLASS.OPEN}))}if(f.separators!==""){while(f.separators.length<this.data.length){f.separators+=f.separators.charAt(f.separators.length-1)}for(var g=1,e=this.data.length;g<e;g++){if(this.data[g]){this.SetData("sep"+g,a.mo(f.separators.charAt(g-1)).With({separator:true}))}}}if(f.close!==""){this.SetData("close",a.mo(f.close).With({fence:true,form:a.FORM.POSTFIX,texClass:a.TEXCLASS.CLOSE}))}},texClass:a.TEXCLASS.OPEN,setTeXclass:function(g){this.addFakeNodes();this.getPrevClass(g);if(this.data.open){g=this.data.open.setTeXclass(g)}if(this.data[0]){g=this.data[0].setTeXclass(g)}for(var f=1,e=this.data.length;f<e;f++){if(this.data["sep"+f]){g=this.data["sep"+f].setTeXclass(g)}if(this.data[f]){g=this.data[f].setTeXclass(g)}}if(this.data.close){g=this.data.close.setTeXclass(g)}this.updateTeXclass(this.data.open);this.texClass=a.TEXCLASS.INNER;return g}});a.menclose=a.mbase.Subclass({type:"menclose",inferRow:true,linebreakContainer:true,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,notation:a.NOTATION.LONGDIV,texClass:a.TEXCLASS.ORD},setTeXclass:a.mbase.setSeparateTeXclasses});a.msubsup=a.mbase.Subclass({type:"msubsup",base:0,sub:1,sup:2,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,subscriptshift:"",superscriptshift:"",texClass:a.AUTO},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}return 0},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(f){var e=this.Get("scriptlevel");if(f>0){e++}return e},adjustChild_texprimestyle:function(e){if(e===this.sub){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.msub=a.msubsup.Subclass({type:"msub"});a.msup=a.msubsup.Subclass({type:"msup",sub:2,sup:1});a.mmultiscripts=a.msubsup.Subclass({type:"mmultiscripts",adjustChild_texprimestyle:function(e){if(e%2===1){return true}return this.Get("texprimestyle")}});a.mprescripts=a.mbase.Subclass({type:"mprescripts"});a.none=a.mbase.Subclass({type:"none"});a.munderover=a.mbase.Subclass({type:"munderover",base:0,under:1,over:2,sub:1,sup:2,ACCENTS:["","accentunder","accent"],linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,accent:a.AUTO,accentunder:a.AUTO,align:a.ALIGN.CENTER,texClass:a.AUTO,subscriptshift:"",superscriptshift:""},autoDefault:function(e){if(e==="texClass"){return(this.isEmbellished()?this.CoreMO().Get(e):a.TEXCLASS.ORD)}if(e==="accent"&&this.data[this.over]){return this.data[this.over].CoreMO().Get("accent")}if(e==="accentunder"&&this.data[this.under]){return this.data[this.under].CoreMO().Get("accent")}return false},adjustChild_displaystyle:function(e){if(e>0){return false}return this.Get("displaystyle")},adjustChild_scriptlevel:function(g){var f=this.Get("scriptlevel");var e=(this.data[this.base]&&!this.Get("displaystyle")&&this.data[this.base].CoreMO().Get("movablelimits"));if(g==this.under&&(e||!this.Get("accentunder"))){f++}if(g==this.over&&(e||!this.Get("accent"))){f++}return f},adjustChild_texprimestyle:function(e){if(e===this.base&&this.data[this.over]){return true}return this.Get("texprimestyle")},setTeXclass:a.mbase.setBaseTeXclasses});a.munder=a.munderover.Subclass({type:"munder"});a.mover=a.munderover.Subclass({type:"mover",over:1,under:2,sup:1,sub:2,ACCENTS:["","accent","accentunder"]});a.mtable=a.mbase.Subclass({type:"mtable",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,align:a.ALIGN.AXIS,rowalign:a.ALIGN.BASELINE,columnalign:a.ALIGN.CENTER,groupalign:"{left}",alignmentscope:true,columnwidth:a.WIDTH.AUTO,width:a.WIDTH.AUTO,rowspacing:"1ex",columnspacing:".8em",rowlines:a.LINES.NONE,columnlines:a.LINES.NONE,frame:a.LINES.NONE,framespacing:"0.4em 0.5ex",equalrows:false,equalcolumns:false,displaystyle:false,side:a.SIDE.RIGHT,minlabelspacing:"0.8em",texClass:a.TEXCLASS.ORD,useHeight:1},adjustChild_displaystyle:function(){return(this.displaystyle!=null?this.displaystyle:this.defaults.displaystyle)},inheritFromMe:true,noInherit:{mover:{align:true},munder:{align:true},munderover:{align:true},mtable:{align:true,rowalign:true,columnalign:true,groupalign:true,alignmentscope:true,columnwidth:true,width:true,rowspacing:true,columnspacing:true,rowlines:true,columnlines:true,frame:true,framespacing:true,equalrows:true,equalcolumns:true,displaystyle:true,side:true,minlabelspacing:true,texClass:true,useHeight:1}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!((arguments[f] instanceof a.mtr)||(arguments[f] instanceof a.mlabeledtr))){arguments[f]=a.mtr(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtr=a.mbase.Subclass({type:"mtr",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{rowalign:true,columnalign:true,groupalign:true},mtable:{rowalign:true,columnalign:true,groupalign:true}},linebreakContainer:true,Append:function(){for(var f=0,e=arguments.length;f<e;f++){if(!(arguments[f] instanceof a.mtd)){arguments[f]=a.mtd(arguments[f])}}this.SUPER(arguments).Append.apply(this,arguments)},setTeXclass:a.mbase.setSeparateTeXclasses});a.mtd=a.mbase.Subclass({type:"mtd",inferRow:true,linebreakContainer:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,rowspan:1,columnspan:1,rowalign:a.INHERIT,columnalign:a.INHERIT,groupalign:a.INHERIT},setTeXclass:a.mbase.setSeparateTeXclasses});a.maligngroup=a.mbase.Subclass({type:"maligngroup",isSpacelike:function(){return true},defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,groupalign:a.INHERIT},inheritFromMe:true,noInherit:{mrow:{groupalign:true},mtable:{groupalign:true}}});a.malignmark=a.mbase.Subclass({type:"malignmark",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,edge:a.SIDE.LEFT},isSpacelike:function(){return true}});a.mlabeledtr=a.mtr.Subclass({type:"mlabeledtr"});a.maction=a.mbase.Subclass({type:"maction",defaults:{mathbackground:a.INHERIT,mathcolor:a.INHERIT,actiontype:a.ACTIONTYPE.TOGGLE,selection:1},selected:function(){return this.data[this.Get("selection")-1]||a.NULL},isEmbellished:function(){return this.selected().isEmbellished()},isSpacelike:function(){return this.selected().isSpacelike()},Core:function(){return this.selected().Core()},CoreMO:function(){return this.selected().CoreMO()},setTeXclass:function(f){if(this.Get("actiontype")===a.ACTIONTYPE.TOOLTIP&&this.data[1]){this.data[1].setTeXclass()}var e=this.selected();f=e.setTeXclass(f);this.updateTeXclass(e);return f}});a.semantics=a.mbase.Subclass({type:"semantics",notParent:true,isEmbellished:a.mbase.childEmbellished,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,defaults:{definitionURL:null,encoding:null},setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(g){var l=MathJax.Hub.config.MathMenu.semanticsAnnotations[g];if(l){for(var h=0,e=this.data.length;h<e;h++){var k=this.data[h].Get("encoding");if(k){for(var f=0,o=l.length;f<o;f++){if(l[f]===k){return this.data[h]}}}}}return null}});a.annotation=a.mbase.Subclass({type:"annotation",isChars:true,linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a["annotation-xml"]=a.mbase.Subclass({type:"annotation-xml",linebreakContainer:true,defaults:{definitionURL:null,encoding:null,cd:"mathmlkeys",name:"",src:null}});a.math=a.mstyle.Subclass({type:"math",defaults:{mathvariant:a.VARIANT.NORMAL,mathsize:a.SIZE.NORMAL,mathcolor:"",mathbackground:a.COLOR.TRANSPARENT,dir:"ltr",scriptlevel:0,displaystyle:a.AUTO,display:"inline",maxwidth:"",overflow:a.OVERFLOW.LINEBREAK,altimg:"","altimg-width":"","altimg-height":"","altimg-valign":"",alttext:"",cdgroup:"",scriptsizemultiplier:Math.sqrt(1/2),scriptminsize:"8px",infixlinebreakstyle:a.LINEBREAKSTYLE.BEFORE,lineleading:"1ex",indentshift:"auto",indentalign:a.INDENTALIGN.AUTO,indentalignfirst:a.INDENTALIGN.INDENTALIGN,indentshiftfirst:a.INDENTSHIFT.INDENTSHIFT,indentalignlast:a.INDENTALIGN.INDENTALIGN,indentshiftlast:a.INDENTSHIFT.INDENTSHIFT,decimalseparator:".",texprimestyle:false},autoDefault:function(e){if(e==="displaystyle"){return this.Get("display")==="block"}return""},linebreakContainer:true,setTeXclass:a.mbase.setChildTeXclass,getAnnotation:function(e){if(this.data.length!=1){return null}return this.data[0].getAnnotation(e)}});a.chars=a.mbase.Subclass({type:"chars",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){return this.data.join("")},toString:function(){return this.data.join("")}});a.entity=a.mbase.Subclass({type:"entity",Append:function(){this.data.push.apply(this.data,arguments)},value:function(){if(this.data[0].substr(0,2)==="#x"){return parseInt(this.data[0].substr(2),16)}else{if(this.data[0].substr(0,1)==="#"){return parseInt(this.data[0].substr(1))}else{return 0}}},toString:function(){var e=this.value();if(e<=65535){return String.fromCharCode(e)}e-=65536;return String.fromCharCode((e>>10)+55296)+String.fromCharCode((e&1023)+56320)}});a.xml=a.mbase.Subclass({type:"xml",Init:function(){this.div=document.createElement("div");return this.SUPER(arguments).Init.apply(this,arguments)},Append:function(){for(var f=0,e=arguments.length;f<e;f++){var g=this.Import(arguments[f]);this.data.push(g);this.div.appendChild(g)}},Import:function(j){if(document.importNode){return document.importNode(j,true)}var f,g,e;if(j.nodeType===1){f=document.createElement(j.nodeName);for(g=0,e=j.attributes.length;g<e;g++){var h=j.attributes[g];if(h.specified&&h.nodeValue!=null&&h.nodeValue!=""){f.setAttribute(h.nodeName,h.nodeValue)}if(h.nodeName==="style"){f.style.cssText=h.nodeValue}}if(j.className){f.className=j.className}}else{if(j.nodeType===3||j.nodeType===4){f=document.createTextNode(j.nodeValue)}else{if(j.nodeType===8){f=document.createComment(j.nodeValue)}else{return document.createTextNode("")}}}for(g=0,e=j.childNodes.length;g<e;g++){f.appendChild(this.Import(j.childNodes[g]))}return f},value:function(){return this.div},toString:function(){return this.div.innerHTML}});a.TeXAtom=a.mbase.Subclass({type:"texatom",linebreakContainer:true,inferRow:true,notParent:true,texClass:a.TEXCLASS.ORD,Core:a.mbase.childCore,CoreMO:a.mbase.childCoreMO,isEmbellished:a.mbase.childEmbellished,setTeXclass:function(e){this.data[0].setTeXclass();return this.adjustTeXclass(e)},adjustTeXclass:a.mo.prototype.adjustTeXclass});a.NULL=a.mbase().With({type:"null"});var b=a.TEXCLASS;var d={ORD:[0,0,b.ORD],ORD11:[1,1,b.ORD],ORD21:[2,1,b.ORD],ORD02:[0,2,b.ORD],ORD55:[5,5,b.ORD],OP:[1,2,b.OP,{largeop:true,movablelimits:true,symmetric:true}],OPFIXED:[1,2,b.OP,{largeop:true,movablelimits:true}],INTEGRAL:[0,1,b.OP,{largeop:true,symmetric:true}],INTEGRAL2:[1,2,b.OP,{largeop:true,symmetric:true}],BIN3:[3,3,b.BIN],BIN4:[4,4,b.BIN],BIN01:[0,1,b.BIN],BIN5:[5,5,b.BIN],TALLBIN:[4,4,b.BIN,{stretchy:true}],BINOP:[4,4,b.BIN,{largeop:true,movablelimits:true}],REL:[5,5,b.REL],REL1:[1,1,b.REL,{stretchy:true}],REL4:[4,4,b.REL],RELSTRETCH:[5,5,b.REL,{stretchy:true}],RELACCENT:[5,5,b.REL,{accent:true}],WIDEREL:[5,5,b.REL,{accent:true,stretchy:true}],OPEN:[0,0,b.OPEN,{fence:true,stretchy:true,symmetric:true}],CLOSE:[0,0,b.CLOSE,{fence:true,stretchy:true,symmetric:true}],INNER:[0,0,b.INNER],PUNCT:[0,3,b.PUNCT],ACCENT:[0,0,b.ORD,{accent:true}],WIDEACCENT:[0,0,b.ORD,{accent:true,stretchy:true}]};a.mo.Augment({SPACE:["0em","0.1111em","0.1667em","0.2222em","0.2667em","0.3333em"],RANGES:[[32,127,b.REL,"BasicLatin"],[160,255,b.ORD,"Latin1Supplement"],[256,383,b.ORD],[384,591,b.ORD],[688,767,b.ORD,"SpacingModLetters"],[768,879,b.ORD,"CombDiacritMarks"],[880,1023,b.ORD,"GreekAndCoptic"],[7680,7935,b.ORD],[8192,8303,b.PUNCT,"GeneralPunctuation"],[8304,8351,b.ORD],[8352,8399,b.ORD],[8400,8447,b.ORD,"CombDiactForSymbols"],[8448,8527,b.ORD,"LetterlikeSymbols"],[8528,8591,b.ORD],[8592,8703,b.REL,"Arrows"],[8704,8959,b.BIN,"MathOperators"],[8960,9215,b.ORD,"MiscTechnical"],[9312,9471,b.ORD],[9472,9631,b.ORD],[9632,9727,b.ORD,"GeometricShapes"],[9984,10175,b.ORD,"Dingbats"],[10176,10223,b.ORD,"MiscMathSymbolsA"],[10224,10239,b.REL,"SupplementalArrowsA"],[10496,10623,b.REL,"SupplementalArrowsB"],[10624,10751,b.ORD,"MiscMathSymbolsB"],[10752,11007,b.BIN,"SuppMathOperators"],[11008,11263,b.ORD,"MiscSymbolsAndArrows"],[119808,120831,b.ORD]],OPTABLE:{prefix:{"\u2200":d.ORD21,"\u2202":d.ORD21,"\u2203":d.ORD21,"\u2207":d.ORD21,"\u220F":d.OP,"\u2210":d.OP,"\u2211":d.OP,"\u2212":d.BIN01,"\u2213":d.BIN01,"\u221A":[1,1,b.ORD,{stretchy:true}],"\u2220":d.ORD,"\u222B":d.INTEGRAL,"\u222E":d.INTEGRAL,"\u22C0":d.OP,"\u22C1":d.OP,"\u22C2":d.OP,"\u22C3":d.OP,"\u2308":d.OPEN,"\u230A":d.OPEN,"\u27E8":d.OPEN,"\u27EE":d.OPEN,"\u2A00":d.OP,"\u2A01":d.OP,"\u2A02":d.OP,"\u2A04":d.OP,"\u2A06":d.OP,"\u00AC":d.ORD21,"\u00B1":d.BIN01,"(":d.OPEN,"+":d.BIN01,"-":d.BIN01,"[":d.OPEN,"{":d.OPEN,"|":d.OPEN},postfix:{"!":[1,0,b.CLOSE],"&":d.ORD,"\u2032":d.ORD02,"\u203E":d.WIDEACCENT,"\u2309":d.CLOSE,"\u230B":d.CLOSE,"\u23DE":d.WIDEACCENT,"\u23DF":d.WIDEACCENT,"\u266D":d.ORD02,"\u266E":d.ORD02,"\u266F":d.ORD02,"\u27E9":d.CLOSE,"\u27EF":d.CLOSE,"\u02C6":d.WIDEACCENT,"\u02C7":d.WIDEACCENT,"\u02C9":d.WIDEACCENT,"\u02CA":d.ACCENT,"\u02CB":d.ACCENT,"\u02D8":d.ACCENT,"\u02D9":d.ACCENT,"\u02DC":d.WIDEACCENT,"\u0302":d.WIDEACCENT,"\u00A8":d.ACCENT,"\u00AF":d.WIDEACCENT,")":d.CLOSE,"]":d.CLOSE,"^":d.WIDEACCENT,_:d.WIDEACCENT,"`":d.ACCENT,"|":d.CLOSE,"}":d.CLOSE,"~":d.WIDEACCENT},infix:{"":d.ORD,"%":[3,3,b.ORD],"\u2022":d.BIN4,"\u2026":d.INNER,"\u2044":d.TALLBIN,"\u2061":d.ORD,"\u2062":d.ORD,"\u2063":[0,0,b.ORD,{linebreakstyle:"after",separator:true}],"\u2064":d.ORD,"\u2190":d.WIDEREL,"\u2191":d.RELSTRETCH,"\u2192":d.WIDEREL,"\u2193":d.RELSTRETCH,"\u2194":d.WIDEREL,"\u2195":d.RELSTRETCH,"\u2196":d.RELSTRETCH,"\u2197":d.RELSTRETCH,"\u2198":d.RELSTRETCH,"\u2199":d.RELSTRETCH,"\u21A6":d.WIDEREL,"\u21A9":d.WIDEREL,"\u21AA":d.WIDEREL,"\u21BC":d.WIDEREL,"\u21BD":d.WIDEREL,"\u21C0":d.WIDEREL,"\u21C1":d.WIDEREL,"\u21CC":d.WIDEREL,"\u21D0":d.WIDEREL,"\u21D1":d.RELSTRETCH,"\u21D2":d.WIDEREL,"\u21D3":d.RELSTRETCH,"\u21D4":d.WIDEREL,"\u21D5":d.RELSTRETCH,"\u2208":d.REL,"\u2209":d.REL,"\u220B":d.REL,"\u2212":d.BIN4,"\u2213":d.BIN4,"\u2215":d.TALLBIN,"\u2216":d.BIN4,"\u2217":d.BIN4,"\u2218":d.BIN4,"\u2219":d.BIN4,"\u221D":d.REL,"\u2223":d.REL,"\u2225":d.REL,"\u2227":d.BIN4,"\u2228":d.BIN4,"\u2229":d.BIN4,"\u222A":d.BIN4,"\u223C":d.REL,"\u2240":d.BIN4,"\u2243":d.REL,"\u2245":d.REL,"\u2248":d.REL,"\u224D":d.REL,"\u2250":d.REL,"\u2260":d.REL,"\u2261":d.REL,"\u2264":d.REL,"\u2265":d.REL,"\u226A":d.REL,"\u226B":d.REL,"\u227A":d.REL,"\u227B":d.REL,"\u2282":d.REL,"\u2283":d.REL,"\u2286":d.REL,"\u2287":d.REL,"\u228E":d.BIN4,"\u2291":d.REL,"\u2292":d.REL,"\u2293":d.BIN4,"\u2294":d.BIN4,"\u2295":d.BIN4,"\u2296":d.BIN4,"\u2297":d.BIN4,"\u2298":d.BIN4,"\u2299":d.BIN4,"\u22A2":d.REL,"\u22A3":d.REL,"\u22A4":d.ORD55,"\u22A5":d.REL,"\u22A8":d.REL,"\u22C4":d.BIN4,"\u22C5":d.BIN4,"\u22C6":d.BIN4,"\u22C8":d.REL,"\u22EE":d.ORD55,"\u22EF":d.INNER,"\u22F1":[5,5,b.INNER],"\u25B3":d.BIN4,"\u25B5":d.BIN4,"\u25B9":d.BIN4,"\u25BD":d.BIN4,"\u25BF":d.BIN4,"\u25C3":d.BIN4,"\u2758":d.REL,"\u27F5":d.WIDEREL,"\u27F6":d.WIDEREL,"\u27F7":d.WIDEREL,"\u27F8":d.WIDEREL,"\u27F9":d.WIDEREL,"\u27FA":d.WIDEREL,"\u27FC":d.WIDEREL,"\u2A2F":d.BIN4,"\u2A3F":d.BIN4,"\u2AAF":d.REL,"\u2AB0":d.REL,"\u00B1":d.BIN4,"\u00B7":d.BIN4,"\u00D7":d.BIN4,"\u00F7":d.BIN4,"*":d.BIN3,"+":d.BIN4,",":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"-":d.BIN4,".":[3,3,b.ORD],"/":d.ORD11,":":[1,2,b.REL],";":[0,3,b.PUNCT,{linebreakstyle:"after",separator:true}],"<":d.REL,"=":d.REL,">":d.REL,"?":[1,1,b.CLOSE],"\\":d.ORD,"^":d.ORD11,_:d.ORD11,"|":[2,2,b.ORD,{fence:true,stretchy:true,symmetric:true}],"#":d.ORD,"$":d.ORD,"\u002E":[0,3,b.PUNCT,{separator:true}],"\u02B9":d.ORD,"\u0300":d.ACCENT,"\u0301":d.ACCENT,"\u0303":d.WIDEACCENT,"\u0304":d.ACCENT,"\u0306":d.ACCENT,"\u0307":d.ACCENT,"\u0308":d.ACCENT,"\u030C":d.ACCENT,"\u0332":d.WIDEACCENT,"\u0338":d.REL4,"\u2015":[0,0,b.ORD,{stretchy:true}],"\u2017":[0,0,b.ORD,{stretchy:true}],"\u2020":d.BIN3,"\u2021":d.BIN3,"\u20D7":d.ACCENT,"\u2111":d.ORD,"\u2113":d.ORD,"\u2118":d.ORD,"\u211C":d.ORD,"\u2205":d.ORD,"\u221E":d.ORD,"\u2305":d.BIN3,"\u2306":d.BIN3,"\u2322":d.REL4,"\u2323":d.REL4,"\u2329":d.OPEN,"\u232A":d.CLOSE,"\u23AA":d.ORD,"\u23AF":[0,0,b.ORD,{stretchy:true}],"\u23B0":d.OPEN,"\u23B1":d.CLOSE,"\u2500":d.ORD,"\u25EF":d.BIN3,"\u2660":d.ORD,"\u2661":d.ORD,"\u2662":d.ORD,"\u2663":d.ORD,"\u3008":d.OPEN,"\u3009":d.CLOSE,"\uFE37":d.WIDEACCENT,"\uFE38":d.WIDEACCENT}}},{OPTYPES:d});var c=a.mo.prototype.OPTABLE;c.infix["^"]=d.WIDEREL;c.infix._=d.WIDEREL;c.prefix["\u2223"]=d.OPEN;c.prefix["\u2225"]=d.OPEN;c.postfix["\u2223"]=d.CLOSE;c.postfix["\u2225"]=d.CLOSE})(MathJax.ElementJax.mml);MathJax.ElementJax.mml.loadComplete("jax.js");
diff --git a/jax/element/mml/optable/Arrows.js b/jax/element/mml/optable/Arrows.js
index ce67bfa5a3..468f977252 100644
--- a/jax/element/mml/optable/Arrows.js
+++ b/jax/element/mml/optable/Arrows.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/Arrows.js
+ *  /MathJax-v2/jax/element/mml/optable/Arrows.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/BasicLatin.js b/jax/element/mml/optable/BasicLatin.js
index e15f321969..f00c52178f 100644
--- a/jax/element/mml/optable/BasicLatin.js
+++ b/jax/element/mml/optable/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/BasicLatin.js
+ *  /MathJax-v2/jax/element/mml/optable/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/CombDiacritMarks.js b/jax/element/mml/optable/CombDiacritMarks.js
index 5c0dff81fb..34ae0ba81d 100644
--- a/jax/element/mml/optable/CombDiacritMarks.js
+++ b/jax/element/mml/optable/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/CombDiacritMarks.js
+ *  /MathJax-v2/jax/element/mml/optable/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/CombDiactForSymbols.js b/jax/element/mml/optable/CombDiactForSymbols.js
index e0408c513e..a5c7237f51 100644
--- a/jax/element/mml/optable/CombDiactForSymbols.js
+++ b/jax/element/mml/optable/CombDiactForSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/CombDiactForSymbols.js
+ *  /MathJax-v2/jax/element/mml/optable/CombDiactForSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/Dingbats.js b/jax/element/mml/optable/Dingbats.js
index 7df0c7f86a..6b3dff68a5 100644
--- a/jax/element/mml/optable/Dingbats.js
+++ b/jax/element/mml/optable/Dingbats.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/Dingbats.js
+ *  /MathJax-v2/jax/element/mml/optable/Dingbats.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/GeneralPunctuation.js b/jax/element/mml/optable/GeneralPunctuation.js
index 9e446ffd27..78287261a7 100644
--- a/jax/element/mml/optable/GeneralPunctuation.js
+++ b/jax/element/mml/optable/GeneralPunctuation.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/GeneralPunctuation.js
+ *  /MathJax-v2/jax/element/mml/optable/GeneralPunctuation.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/GeometricShapes.js b/jax/element/mml/optable/GeometricShapes.js
index 42f2f483b2..74579dd9a1 100644
--- a/jax/element/mml/optable/GeometricShapes.js
+++ b/jax/element/mml/optable/GeometricShapes.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/GeometricShapes.js
+ *  /MathJax-v2/jax/element/mml/optable/GeometricShapes.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/GreekAndCoptic.js b/jax/element/mml/optable/GreekAndCoptic.js
index 5b0c236236..8d0a8afbf3 100644
--- a/jax/element/mml/optable/GreekAndCoptic.js
+++ b/jax/element/mml/optable/GreekAndCoptic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/GreekAndCoptic.js
+ *  /MathJax-v2/jax/element/mml/optable/GreekAndCoptic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/Latin1Supplement.js b/jax/element/mml/optable/Latin1Supplement.js
index 97e74ca07c..c7dd17afe5 100644
--- a/jax/element/mml/optable/Latin1Supplement.js
+++ b/jax/element/mml/optable/Latin1Supplement.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/Latin1Supplement.js
+ *  /MathJax-v2/jax/element/mml/optable/Latin1Supplement.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/LetterlikeSymbols.js b/jax/element/mml/optable/LetterlikeSymbols.js
index 30b6db0436..f754924631 100644
--- a/jax/element/mml/optable/LetterlikeSymbols.js
+++ b/jax/element/mml/optable/LetterlikeSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/LetterlikeSymbols.js
+ *  /MathJax-v2/jax/element/mml/optable/LetterlikeSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/MathOperators.js b/jax/element/mml/optable/MathOperators.js
index bfb6e15df3..87da948ad6 100644
--- a/jax/element/mml/optable/MathOperators.js
+++ b/jax/element/mml/optable/MathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/MathOperators.js
+ *  /MathJax-v2/jax/element/mml/optable/MathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/MiscMathSymbolsA.js b/jax/element/mml/optable/MiscMathSymbolsA.js
index b910cefb85..697d890649 100644
--- a/jax/element/mml/optable/MiscMathSymbolsA.js
+++ b/jax/element/mml/optable/MiscMathSymbolsA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/MiscMathSymbolsA.js
+ *  /MathJax-v2/jax/element/mml/optable/MiscMathSymbolsA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/MiscMathSymbolsB.js b/jax/element/mml/optable/MiscMathSymbolsB.js
index 0c8472df86..d64e8093be 100644
--- a/jax/element/mml/optable/MiscMathSymbolsB.js
+++ b/jax/element/mml/optable/MiscMathSymbolsB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/MiscMathSymbolsB.js
+ *  /MathJax-v2/jax/element/mml/optable/MiscMathSymbolsB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/MiscSymbolsAndArrows.js b/jax/element/mml/optable/MiscSymbolsAndArrows.js
index c1babe4fca..a81d06b307 100644
--- a/jax/element/mml/optable/MiscSymbolsAndArrows.js
+++ b/jax/element/mml/optable/MiscSymbolsAndArrows.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/MiscSymbolsAndArrows.js
+ *  /MathJax-v2/jax/element/mml/optable/MiscSymbolsAndArrows.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/MiscTechnical.js b/jax/element/mml/optable/MiscTechnical.js
index d28c955f55..17beef1b2e 100644
--- a/jax/element/mml/optable/MiscTechnical.js
+++ b/jax/element/mml/optable/MiscTechnical.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/MiscTechnical.js
+ *  /MathJax-v2/jax/element/mml/optable/MiscTechnical.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/SpacingModLetters.js b/jax/element/mml/optable/SpacingModLetters.js
index 283774ad72..ada071c17a 100644
--- a/jax/element/mml/optable/SpacingModLetters.js
+++ b/jax/element/mml/optable/SpacingModLetters.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/SpacingModLetters.js
+ *  /MathJax-v2/jax/element/mml/optable/SpacingModLetters.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/SuppMathOperators.js b/jax/element/mml/optable/SuppMathOperators.js
index 1b281dfcf5..52e875e640 100644
--- a/jax/element/mml/optable/SuppMathOperators.js
+++ b/jax/element/mml/optable/SuppMathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/SuppMathOperators.js
+ *  /MathJax-v2/jax/element/mml/optable/SuppMathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/SupplementalArrowsA.js b/jax/element/mml/optable/SupplementalArrowsA.js
index 3ebc8e59a2..a1b79d2abb 100644
--- a/jax/element/mml/optable/SupplementalArrowsA.js
+++ b/jax/element/mml/optable/SupplementalArrowsA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/SupplementalArrowsA.js
+ *  /MathJax-v2/jax/element/mml/optable/SupplementalArrowsA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/element/mml/optable/SupplementalArrowsB.js b/jax/element/mml/optable/SupplementalArrowsB.js
index d1ae0ffc25..92e06103b8 100644
--- a/jax/element/mml/optable/SupplementalArrowsB.js
+++ b/jax/element/mml/optable/SupplementalArrowsB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/element/mml/optable/SupplementalArrowsB.js
+ *  /MathJax-v2/jax/element/mml/optable/SupplementalArrowsB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/AsciiMath/config.js b/jax/input/AsciiMath/config.js
index 893438d2cf..66924e2298 100644
--- a/jax/input/AsciiMath/config.js
+++ b/jax/input/AsciiMath/config.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/AsciiMath/config.js
+ *  /MathJax-v2/jax/input/AsciiMath/config.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.6",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
+MathJax.InputJax.AsciiMath=MathJax.InputJax({id:"AsciiMath",version:"2.7.9",directory:MathJax.InputJax.directory+"/AsciiMath",extensionDir:MathJax.InputJax.extensionDir+"/AsciiMath",config:{fixphi:true,useMathMLspacing:true,displaystyle:true,decimalsign:"."}});MathJax.InputJax.AsciiMath.Register("math/asciimath");MathJax.InputJax.AsciiMath.loadComplete("config.js");
diff --git a/jax/input/AsciiMath/jax.js b/jax/input/AsciiMath/jax.js
index b1f4af0d54..8250548116 100644
--- a/jax/input/AsciiMath/jax.js
+++ b/jax/input/AsciiMath/jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/AsciiMath/jax.js
+ *  /MathJax-v2/jax/input/AsciiMath/jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
+(function(aa){var g;var X=MathJax.Object.Subclass({firstChild:null,lastChild:null,Init:function(){this.childNodes=[]},appendChild:function(ab){if(ab.parent){ab.parent.removeChild(ab)}if(this.lastChild){this.lastChild.nextSibling=ab}if(!this.firstChild){this.firstChild=ab}this.childNodes.push(ab);ab.parent=this;this.lastChild=ab;return ab},removeChild:function(ad){for(var ac=0,ab=this.childNodes.length;ac<ab;ac++){if(this.childNodes[ac]===ad){break}}if(ac===ab){return}this.childNodes.splice(ac,1);if(ad===this.firstChild){this.firstChild=ad.nextSibling}if(ad===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ac){this.childNodes[ac-1].nextSibling=ad.nextSibling}ad.nextSibling=ad.parent=null;return ad},replaceChild:function(ae,ac){for(var ad=0,ab=this.childNodes.length;ad<ab;ad++){if(this.childNodes[ad]===ac){break}}if(ad){this.childNodes[ad-1].nextSibling=ae}else{this.firstChild=ae}if(ad>=ab-1){this.lastChild=ae}this.childNodes[ad]=ae;ae.nextSibling=ac.nextSibling;ac.nextSibling=ac.parent=null;return ac},hasChildNodes:function(ab){return(this.childNodes.length>0)},toString:function(){return"{"+this.childNodes.join("")+"}"}});var x=function(){g=MathJax.ElementJax.mml;var ab=g.mbase.prototype.Init;g.mbase.Augment({firstChild:null,lastChild:null,nodeValue:null,nextSibling:null,Init:function(){var ac=ab.apply(this,arguments)||this;ac.childNodes=ac.data;ac.nodeName=ac.type;return ac},appendChild:function(af){if(af.parent){af.parent.removeChild(af)}var ad=arguments;if(af.isa(X)){ad=af.childNodes;af.data=af.childNodes=[];af.firstChild=af.lastChild=null}for(var ae=0,ac=ad.length;ae<ac;ae++){af=ad[ae];if(this.lastChild){this.lastChild.nextSibling=af}if(!this.firstChild){this.firstChild=af}this.Append(af);this.lastChild=af}return af},removeChild:function(ae){for(var ad=0,ac=this.childNodes.length;ad<ac;ad++){if(this.childNodes[ad]===ae){break}}if(ad===ac){return}this.childNodes.splice(ad,1);if(ae===this.firstChild){this.firstChild=ae.nextSibling}if(ae===this.lastChild){if(!this.childNodes.length){this.lastChild=null}else{this.lastChild=this.childNodes[this.childNodes.length-1]}}if(ad){this.childNodes[ad-1].nextSibling=ae.nextSibling}ae.nextSibling=ae.parent=null;return ae},replaceChild:function(af,ad){for(var ae=0,ac=this.childNodes.length;ae<ac;ae++){if(this.childNodes[ae]===ad){break}}if(ae){this.childNodes[ae-1].nextSibling=af}else{this.firstChild=af}if(ae>=ac-1){this.lastChild=af}this.SetData(ae,af);af.nextSibling=ad.nextSibling;ad.nextSibling=ad.parent=null;return ad},hasChildNodes:function(ac){return(this.childNodes.length>0)},setAttribute:function(ac,ad){this[ac]=ad}})};var Q={};var e={getElementById:true,createElementNS:function(ac,ab){var ad=g[ab]();if(ab==="mo"&&aa.config.useMathMLspacing){ad.useMMLspacing=128}return ad},createTextNode:function(ab){return g.chars(ab).With({nodeValue:ab})},createDocumentFragment:function(){return X()}};var J={appName:"MathJax"};var C="blue";var o=true;var v=true;var d=".";var f=true;var l=(J.appName.slice(0,9)=="Microsoft");function E(ab){if(l){return e.createElement(ab)}else{return e.createElementNS("http://www.w3.org/1999/xhtml",ab)}}var W="http://www.w3.org/1998/Math/MathML";function P(ab){if(l){return e.createElement("m:"+ab)}else{return e.createElementNS(W,ab)}}function O(ab,ad){var ac;if(l){ac=e.createElement("m:"+ab)}else{ac=e.createElementNS(W,ab)}if(ad){ac.appendChild(ad)}return ac}function u(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function r(ab){z.push(ab);B()}var D=["\uD835\uDC9C","\u212C","\uD835\uDC9E","\uD835\uDC9F","\u2130","\u2131","\uD835\uDCA2","\u210B","\u2110","\uD835\uDCA5","\uD835\uDCA6","\u2112","\u2133","\uD835\uDCA9","\uD835\uDCAA","\uD835\uDCAB","\uD835\uDCAC","\u211B","\uD835\uDCAE","\uD835\uDCAF","\uD835\uDCB0","\uD835\uDCB1","\uD835\uDCB2","\uD835\uDCB3","\uD835\uDCB4","\uD835\uDCB5","\uD835\uDCB6","\uD835\uDCB7","\uD835\uDCB8","\uD835\uDCB9","\u212F","\uD835\uDCBB","\u210A","\uD835\uDCBD","\uD835\uDCBE","\uD835\uDCBF","\uD835\uDCC0","\uD835\uDCC1","\uD835\uDCC2","\uD835\uDCC3","\u2134","\uD835\uDCC5","\uD835\uDCC6","\uD835\uDCC7","\uD835\uDCC8","\uD835\uDCC9","\uD835\uDCCA","\uD835\uDCCB","\uD835\uDCCC","\uD835\uDCCD","\uD835\uDCCE","\uD835\uDCCF"];var H=["\uD835\uDD04","\uD835\uDD05","\u212D","\uD835\uDD07","\uD835\uDD08","\uD835\uDD09","\uD835\uDD0A","\u210C","\u2111","\uD835\uDD0D","\uD835\uDD0E","\uD835\uDD0F","\uD835\uDD10","\uD835\uDD11","\uD835\uDD12","\uD835\uDD13","\uD835\uDD14","\u211C","\uD835\uDD16","\uD835\uDD17","\uD835\uDD18","\uD835\uDD19","\uD835\uDD1A","\uD835\uDD1B","\uD835\uDD1C","\u2128","\uD835\uDD1E","\uD835\uDD1F","\uD835\uDD20","\uD835\uDD21","\uD835\uDD22","\uD835\uDD23","\uD835\uDD24","\uD835\uDD25","\uD835\uDD26","\uD835\uDD27","\uD835\uDD28","\uD835\uDD29","\uD835\uDD2A","\uD835\uDD2B","\uD835\uDD2C","\uD835\uDD2D","\uD835\uDD2E","\uD835\uDD2F","\uD835\uDD30","\uD835\uDD31","\uD835\uDD32","\uD835\uDD33","\uD835\uDD34","\uD835\uDD35","\uD835\uDD36","\uD835\uDD37"];var w=["\uD835\uDD38","\uD835\uDD39","\u2102","\uD835\uDD3B","\uD835\uDD3C","\uD835\uDD3D","\uD835\uDD3E","\u210D","\uD835\uDD40","\uD835\uDD41","\uD835\uDD42","\uD835\uDD43","\uD835\uDD44","\u2115","\uD835\uDD46","\u2119","\u211A","\u211D","\uD835\uDD4A","\uD835\uDD4B","\uD835\uDD4C","\uD835\uDD4D","\uD835\uDD4E","\uD835\uDD4F","\uD835\uDD50","\u2124","\uD835\uDD52","\uD835\uDD53","\uD835\uDD54","\uD835\uDD55","\uD835\uDD56","\uD835\uDD57","\uD835\uDD58","\uD835\uDD59","\uD835\uDD5A","\uD835\uDD5B","\uD835\uDD5C","\uD835\uDD5D","\uD835\uDD5E","\uD835\uDD5F","\uD835\uDD60","\uD835\uDD61","\uD835\uDD62","\uD835\uDD63","\uD835\uDD64","\uD835\uDD65","\uD835\uDD66","\uD835\uDD67","\uD835\uDD68","\uD835\uDD69","\uD835\uDD6A","\uD835\uDD6B"];var c=0,A=1,U=2,i=3,b=4,h=5,a=6,L=7,V=8,m=9,Y=10,K=15;var k={input:'"',tag:"mtext",output:"mbox",tex:null,ttype:Y};var z=[{input:"alpha",tag:"mi",output:"\u03B1",tex:null,ttype:c},{input:"beta",tag:"mi",output:"\u03B2",tex:null,ttype:c},{input:"chi",tag:"mi",output:"\u03C7",tex:null,ttype:c},{input:"delta",tag:"mi",output:"\u03B4",tex:null,ttype:c},{input:"Delta",tag:"mo",output:"\u0394",tex:null,ttype:c},{input:"epsi",tag:"mi",output:"\u03B5",tex:"epsilon",ttype:c},{input:"varepsilon",tag:"mi",output:"\u025B",tex:null,ttype:c},{input:"eta",tag:"mi",output:"\u03B7",tex:null,ttype:c},{input:"gamma",tag:"mi",output:"\u03B3",tex:null,ttype:c},{input:"Gamma",tag:"mo",output:"\u0393",tex:null,ttype:c},{input:"iota",tag:"mi",output:"\u03B9",tex:null,ttype:c},{input:"kappa",tag:"mi",output:"\u03BA",tex:null,ttype:c},{input:"lambda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lambda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"lamda",tag:"mi",output:"\u03BB",tex:null,ttype:c},{input:"Lamda",tag:"mo",output:"\u039B",tex:null,ttype:c},{input:"mu",tag:"mi",output:"\u03BC",tex:null,ttype:c},{input:"nu",tag:"mi",output:"\u03BD",tex:null,ttype:c},{input:"omega",tag:"mi",output:"\u03C9",tex:null,ttype:c},{input:"Omega",tag:"mo",output:"\u03A9",tex:null,ttype:c},{input:"phi",tag:"mi",output:f?"\u03D5":"\u03C6",tex:null,ttype:c},{input:"varphi",tag:"mi",output:f?"\u03C6":"\u03D5",tex:null,ttype:c},{input:"Phi",tag:"mo",output:"\u03A6",tex:null,ttype:c},{input:"pi",tag:"mi",output:"\u03C0",tex:null,ttype:c},{input:"Pi",tag:"mo",output:"\u03A0",tex:null,ttype:c},{input:"psi",tag:"mi",output:"\u03C8",tex:null,ttype:c},{input:"Psi",tag:"mi",output:"\u03A8",tex:null,ttype:c},{input:"rho",tag:"mi",output:"\u03C1",tex:null,ttype:c},{input:"sigma",tag:"mi",output:"\u03C3",tex:null,ttype:c},{input:"Sigma",tag:"mo",output:"\u03A3",tex:null,ttype:c},{input:"tau",tag:"mi",output:"\u03C4",tex:null,ttype:c},{input:"theta",tag:"mi",output:"\u03B8",tex:null,ttype:c},{input:"vartheta",tag:"mi",output:"\u03D1",tex:null,ttype:c},{input:"Theta",tag:"mo",output:"\u0398",tex:null,ttype:c},{input:"upsilon",tag:"mi",output:"\u03C5",tex:null,ttype:c},{input:"xi",tag:"mi",output:"\u03BE",tex:null,ttype:c},{input:"Xi",tag:"mo",output:"\u039E",tex:null,ttype:c},{input:"zeta",tag:"mi",output:"\u03B6",tex:null,ttype:c},{input:"*",tag:"mo",output:"\u22C5",tex:"cdot",ttype:c},{input:"**",tag:"mo",output:"\u2217",tex:"ast",ttype:c},{input:"***",tag:"mo",output:"\u22C6",tex:"star",ttype:c},{input:"//",tag:"mo",output:"/",tex:null,ttype:c},{input:"\\\\",tag:"mo",output:"\\",tex:"backslash",ttype:c},{input:"setminus",tag:"mo",output:"\\",tex:null,ttype:c},{input:"xx",tag:"mo",output:"\u00D7",tex:"times",ttype:c},{input:"|><",tag:"mo",output:"\u22C9",tex:"ltimes",ttype:c},{input:"><|",tag:"mo",output:"\u22CA",tex:"rtimes",ttype:c},{input:"|><|",tag:"mo",output:"\u22C8",tex:"bowtie",ttype:c},{input:"-:",tag:"mo",output:"\u00F7",tex:"div",ttype:c},{input:"divide",tag:"mo",output:"-:",tex:null,ttype:V},{input:"@",tag:"mo",output:"\u2218",tex:"circ",ttype:c},{input:"o+",tag:"mo",output:"\u2295",tex:"oplus",ttype:c},{input:"ox",tag:"mo",output:"\u2297",tex:"otimes",ttype:c},{input:"o.",tag:"mo",output:"\u2299",tex:"odot",ttype:c},{input:"sum",tag:"mo",output:"\u2211",tex:null,ttype:L},{input:"prod",tag:"mo",output:"\u220F",tex:null,ttype:L},{input:"^^",tag:"mo",output:"\u2227",tex:"wedge",ttype:c},{input:"^^^",tag:"mo",output:"\u22C0",tex:"bigwedge",ttype:L},{input:"vv",tag:"mo",output:"\u2228",tex:"vee",ttype:c},{input:"vvv",tag:"mo",output:"\u22C1",tex:"bigvee",ttype:L},{input:"nn",tag:"mo",output:"\u2229",tex:"cap",ttype:c},{input:"nnn",tag:"mo",output:"\u22C2",tex:"bigcap",ttype:L},{input:"uu",tag:"mo",output:"\u222A",tex:"cup",ttype:c},{input:"uuu",tag:"mo",output:"\u22C3",tex:"bigcup",ttype:L},{input:"!=",tag:"mo",output:"\u2260",tex:"ne",ttype:c},{input:":=",tag:"mo",output:":=",tex:null,ttype:c},{input:"lt",tag:"mo",output:"<",tex:null,ttype:c},{input:"<=",tag:"mo",output:"\u2264",tex:"le",ttype:c},{input:"lt=",tag:"mo",output:"\u2264",tex:"leq",ttype:c},{input:"gt",tag:"mo",output:">",tex:null,ttype:c},{input:">=",tag:"mo",output:"\u2265",tex:"ge",ttype:c},{input:"gt=",tag:"mo",output:"\u2265",tex:"geq",ttype:c},{input:"-<",tag:"mo",output:"\u227A",tex:"prec",ttype:c},{input:"-lt",tag:"mo",output:"\u227A",tex:null,ttype:c},{input:">-",tag:"mo",output:"\u227B",tex:"succ",ttype:c},{input:"-<=",tag:"mo",output:"\u2AAF",tex:"preceq",ttype:c},{input:">-=",tag:"mo",output:"\u2AB0",tex:"succeq",ttype:c},{input:"in",tag:"mo",output:"\u2208",tex:null,ttype:c},{input:"!in",tag:"mo",output:"\u2209",tex:"notin",ttype:c},{input:"sub",tag:"mo",output:"\u2282",tex:"subset",ttype:c},{input:"sup",tag:"mo",output:"\u2283",tex:"supset",ttype:c},{input:"sube",tag:"mo",output:"\u2286",tex:"subseteq",ttype:c},{input:"supe",tag:"mo",output:"\u2287",tex:"supseteq",ttype:c},{input:"-=",tag:"mo",output:"\u2261",tex:"equiv",ttype:c},{input:"~=",tag:"mo",output:"\u2245",tex:"cong",ttype:c},{input:"~~",tag:"mo",output:"\u2248",tex:"approx",ttype:c},{input:"prop",tag:"mo",output:"\u221D",tex:"propto",ttype:c},{input:"and",tag:"mtext",output:"and",tex:null,ttype:a},{input:"or",tag:"mtext",output:"or",tex:null,ttype:a},{input:"not",tag:"mo",output:"\u00AC",tex:"neg",ttype:c},{input:"=>",tag:"mo",output:"\u21D2",tex:"implies",ttype:c},{input:"if",tag:"mo",output:"if",tex:null,ttype:a},{input:"<=>",tag:"mo",output:"\u21D4",tex:"iff",ttype:c},{input:"AA",tag:"mo",output:"\u2200",tex:"forall",ttype:c},{input:"EE",tag:"mo",output:"\u2203",tex:"exists",ttype:c},{input:"_|_",tag:"mo",output:"\u22A5",tex:"bot",ttype:c},{input:"TT",tag:"mo",output:"\u22A4",tex:"top",ttype:c},{input:"|--",tag:"mo",output:"\u22A2",tex:"vdash",ttype:c},{input:"|==",tag:"mo",output:"\u22A8",tex:"models",ttype:c},{input:"(",tag:"mo",output:"(",tex:"left(",ttype:b},{input:")",tag:"mo",output:")",tex:"right)",ttype:h},{input:"[",tag:"mo",output:"[",tex:"left[",ttype:b},{input:"]",tag:"mo",output:"]",tex:"right]",ttype:h},{input:"{",tag:"mo",output:"{",tex:null,ttype:b},{input:"}",tag:"mo",output:"}",tex:null,ttype:h},{input:"|",tag:"mo",output:"|",tex:null,ttype:m},{input:":|:",tag:"mo",output:"|",tex:null,ttype:c},{input:"|:",tag:"mo",output:"|",tex:null,ttype:b},{input:":|",tag:"mo",output:"|",tex:null,ttype:h},{input:"(:",tag:"mo",output:"\u2329",tex:"langle",ttype:b},{input:":)",tag:"mo",output:"\u232A",tex:"rangle",ttype:h},{input:"<<",tag:"mo",output:"\u2329",tex:null,ttype:b},{input:">>",tag:"mo",output:"\u232A",tex:null,ttype:h},{input:"{:",tag:"mo",output:"{:",tex:null,ttype:b,invisible:true},{input:":}",tag:"mo",output:":}",tex:null,ttype:h,invisible:true},{input:"int",tag:"mo",output:"\u222B",tex:null,ttype:c},{input:"dx",tag:"mi",output:"{:d x:}",tex:null,ttype:V},{input:"dy",tag:"mi",output:"{:d y:}",tex:null,ttype:V},{input:"dz",tag:"mi",output:"{:d z:}",tex:null,ttype:V},{input:"dt",tag:"mi",output:"{:d t:}",tex:null,ttype:V},{input:"oint",tag:"mo",output:"\u222E",tex:null,ttype:c},{input:"del",tag:"mo",output:"\u2202",tex:"partial",ttype:c},{input:"grad",tag:"mo",output:"\u2207",tex:"nabla",ttype:c},{input:"+-",tag:"mo",output:"\u00B1",tex:"pm",ttype:c},{input:"O/",tag:"mo",output:"\u2205",tex:"emptyset",ttype:c},{input:"oo",tag:"mo",output:"\u221E",tex:"infty",ttype:c},{input:"aleph",tag:"mo",output:"\u2135",tex:null,ttype:c},{input:"...",tag:"mo",output:"...",tex:"ldots",ttype:c},{input:":.",tag:"mo",output:"\u2234",tex:"therefore",ttype:c},{input:":'",tag:"mo",output:"\u2235",tex:"because",ttype:c},{input:"/_",tag:"mo",output:"\u2220",tex:"angle",ttype:c},{input:"/_\\",tag:"mo",output:"\u25B3",tex:"triangle",ttype:c},{input:"'",tag:"mo",output:"\u2032",tex:"prime",ttype:c},{input:"tilde",tag:"mover",output:"~",tex:null,ttype:A,acc:true},{input:"\\ ",tag:"mo",output:"\u00A0",tex:null,ttype:c},{input:"frown",tag:"mo",output:"\u2322",tex:null,ttype:c},{input:"quad",tag:"mo",output:"\u00A0\u00A0",tex:null,ttype:c},{input:"qquad",tag:"mo",output:"\u00A0\u00A0\u00A0\u00A0",tex:null,ttype:c},{input:"cdots",tag:"mo",output:"\u22EF",tex:null,ttype:c},{input:"vdots",tag:"mo",output:"\u22EE",tex:null,ttype:c},{input:"ddots",tag:"mo",output:"\u22F1",tex:null,ttype:c},{input:"diamond",tag:"mo",output:"\u22C4",tex:null,ttype:c},{input:"square",tag:"mo",output:"\u25A1",tex:null,ttype:c},{input:"|__",tag:"mo",output:"\u230A",tex:"lfloor",ttype:c},{input:"__|",tag:"mo",output:"\u230B",tex:"rfloor",ttype:c},{input:"|~",tag:"mo",output:"\u2308",tex:"lceiling",ttype:c},{input:"~|",tag:"mo",output:"\u2309",tex:"rceiling",ttype:c},{input:"CC",tag:"mo",output:"\u2102",tex:null,ttype:c},{input:"NN",tag:"mo",output:"\u2115",tex:null,ttype:c},{input:"QQ",tag:"mo",output:"\u211A",tex:null,ttype:c},{input:"RR",tag:"mo",output:"\u211D",tex:null,ttype:c},{input:"ZZ",tag:"mo",output:"\u2124",tex:null,ttype:c},{input:"f",tag:"mi",output:"f",tex:null,ttype:A,func:true},{input:"g",tag:"mi",output:"g",tex:null,ttype:A,func:true},{input:"lim",tag:"mo",output:"lim",tex:null,ttype:L},{input:"Lim",tag:"mo",output:"Lim",tex:null,ttype:L},{input:"sin",tag:"mo",output:"sin",tex:null,ttype:A,func:true},{input:"cos",tag:"mo",output:"cos",tex:null,ttype:A,func:true},{input:"tan",tag:"mo",output:"tan",tex:null,ttype:A,func:true},{input:"sinh",tag:"mo",output:"sinh",tex:null,ttype:A,func:true},{input:"cosh",tag:"mo",output:"cosh",tex:null,ttype:A,func:true},{input:"tanh",tag:"mo",output:"tanh",tex:null,ttype:A,func:true},{input:"cot",tag:"mo",output:"cot",tex:null,ttype:A,func:true},{input:"sec",tag:"mo",output:"sec",tex:null,ttype:A,func:true},{input:"csc",tag:"mo",output:"csc",tex:null,ttype:A,func:true},{input:"arcsin",tag:"mo",output:"arcsin",tex:null,ttype:A,func:true},{input:"arccos",tag:"mo",output:"arccos",tex:null,ttype:A,func:true},{input:"arctan",tag:"mo",output:"arctan",tex:null,ttype:A,func:true},{input:"coth",tag:"mo",output:"coth",tex:null,ttype:A,func:true},{input:"sech",tag:"mo",output:"sech",tex:null,ttype:A,func:true},{input:"csch",tag:"mo",output:"csch",tex:null,ttype:A,func:true},{input:"exp",tag:"mo",output:"exp",tex:null,ttype:A,func:true},{input:"abs",tag:"mo",output:"abs",tex:null,ttype:A,rewriteleftright:["|","|"]},{input:"norm",tag:"mo",output:"norm",tex:null,ttype:A,rewriteleftright:["\u2225","\u2225"]},{input:"floor",tag:"mo",output:"floor",tex:null,ttype:A,rewriteleftright:["\u230A","\u230B"]},{input:"ceil",tag:"mo",output:"ceil",tex:null,ttype:A,rewriteleftright:["\u2308","\u2309"]},{input:"log",tag:"mo",output:"log",tex:null,ttype:A,func:true},{input:"ln",tag:"mo",output:"ln",tex:null,ttype:A,func:true},{input:"det",tag:"mo",output:"det",tex:null,ttype:A,func:true},{input:"dim",tag:"mo",output:"dim",tex:null,ttype:c},{input:"mod",tag:"mo",output:"mod",tex:null,ttype:c},{input:"gcd",tag:"mo",output:"gcd",tex:null,ttype:A,func:true},{input:"lcm",tag:"mo",output:"lcm",tex:null,ttype:A,func:true},{input:"lub",tag:"mo",output:"lub",tex:null,ttype:c},{input:"glb",tag:"mo",output:"glb",tex:null,ttype:c},{input:"min",tag:"mo",output:"min",tex:null,ttype:L},{input:"max",tag:"mo",output:"max",tex:null,ttype:L},{input:"Sin",tag:"mo",output:"Sin",tex:null,ttype:A,func:true},{input:"Cos",tag:"mo",output:"Cos",tex:null,ttype:A,func:true},{input:"Tan",tag:"mo",output:"Tan",tex:null,ttype:A,func:true},{input:"Arcsin",tag:"mo",output:"Arcsin",tex:null,ttype:A,func:true},{input:"Arccos",tag:"mo",output:"Arccos",tex:null,ttype:A,func:true},{input:"Arctan",tag:"mo",output:"Arctan",tex:null,ttype:A,func:true},{input:"Sinh",tag:"mo",output:"Sinh",tex:null,ttype:A,func:true},{input:"Cosh",tag:"mo",output:"Cosh",tex:null,ttype:A,func:true},{input:"Tanh",tag:"mo",output:"Tanh",tex:null,ttype:A,func:true},{input:"Cot",tag:"mo",output:"Cot",tex:null,ttype:A,func:true},{input:"Sec",tag:"mo",output:"Sec",tex:null,ttype:A,func:true},{input:"Csc",tag:"mo",output:"Csc",tex:null,ttype:A,func:true},{input:"Log",tag:"mo",output:"Log",tex:null,ttype:A,func:true},{input:"Ln",tag:"mo",output:"Ln",tex:null,ttype:A,func:true},{input:"Abs",tag:"mo",output:"abs",tex:null,ttype:A,notexcopy:true,rewriteleftright:["|","|"]},{input:"uarr",tag:"mo",output:"\u2191",tex:"uparrow",ttype:c},{input:"darr",tag:"mo",output:"\u2193",tex:"downarrow",ttype:c},{input:"rarr",tag:"mo",output:"\u2192",tex:"rightarrow",ttype:c},{input:"->",tag:"mo",output:"\u2192",tex:"to",ttype:c},{input:">->",tag:"mo",output:"\u21A3",tex:"rightarrowtail",ttype:c},{input:"->>",tag:"mo",output:"\u21A0",tex:"twoheadrightarrow",ttype:c},{input:">->>",tag:"mo",output:"\u2916",tex:"twoheadrightarrowtail",ttype:c},{input:"|->",tag:"mo",output:"\u21A6",tex:"mapsto",ttype:c},{input:"larr",tag:"mo",output:"\u2190",tex:"leftarrow",ttype:c},{input:"harr",tag:"mo",output:"\u2194",tex:"leftrightarrow",ttype:c},{input:"rArr",tag:"mo",output:"\u21D2",tex:"Rightarrow",ttype:c},{input:"lArr",tag:"mo",output:"\u21D0",tex:"Leftarrow",ttype:c},{input:"hArr",tag:"mo",output:"\u21D4",tex:"Leftrightarrow",ttype:c},{input:"sqrt",tag:"msqrt",output:"sqrt",tex:null,ttype:A},{input:"root",tag:"mroot",output:"root",tex:null,ttype:U},{input:"frac",tag:"mfrac",output:"/",tex:null,ttype:U},{input:"/",tag:"mfrac",output:"/",tex:null,ttype:i},{input:"stackrel",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"overset",tag:"mover",output:"stackrel",tex:null,ttype:U},{input:"underset",tag:"munder",output:"stackrel",tex:null,ttype:U},{input:"_",tag:"msub",output:"_",tex:null,ttype:i},{input:"^",tag:"msup",output:"^",tex:null,ttype:i},{input:"hat",tag:"mover",output:"\u005E",tex:null,ttype:A,acc:true},{input:"bar",tag:"mover",output:"\u00AF",tex:"overline",ttype:A,acc:true},{input:"vec",tag:"mover",output:"\u2192",tex:null,ttype:A,acc:true},{input:"dot",tag:"mover",output:".",tex:null,ttype:A,acc:true},{input:"ddot",tag:"mover",output:"..",tex:null,ttype:A,acc:true},{input:"overarc",tag:"mover",output:"\u23DC",tex:"overparen",ttype:A,acc:true},{input:"ul",tag:"munder",output:"\u0332",tex:"underline",ttype:A,acc:true},{input:"ubrace",tag:"munder",output:"\u23DF",tex:"underbrace",ttype:K,acc:true},{input:"obrace",tag:"mover",output:"\u23DE",tex:"overbrace",ttype:K,acc:true},{input:"text",tag:"mtext",output:"text",tex:null,ttype:Y},{input:"mbox",tag:"mtext",output:"mbox",tex:null,ttype:Y},{input:"color",tag:"mstyle",ttype:U},{input:"id",tag:"mrow",ttype:U},{input:"class",tag:"mrow",ttype:U},{input:"cancel",tag:"menclose",output:"cancel",tex:null,ttype:A},k,{input:"bb",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"bb",tex:null,ttype:A},{input:"mathbf",tag:"mstyle",atname:"mathvariant",atval:"bold",output:"mathbf",tex:null,ttype:A},{input:"sf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"sf",tex:null,ttype:A},{input:"mathsf",tag:"mstyle",atname:"mathvariant",atval:"sans-serif",output:"mathsf",tex:null,ttype:A},{input:"bbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"bbb",tex:null,ttype:A,codes:w},{input:"mathbb",tag:"mstyle",atname:"mathvariant",atval:"double-struck",output:"mathbb",tex:null,ttype:A,codes:w},{input:"cc",tag:"mstyle",atname:"mathvariant",atval:"script",output:"cc",tex:null,ttype:A,codes:D},{input:"mathcal",tag:"mstyle",atname:"mathvariant",atval:"script",output:"mathcal",tex:null,ttype:A,codes:D},{input:"tt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"tt",tex:null,ttype:A},{input:"mathtt",tag:"mstyle",atname:"mathvariant",atval:"monospace",output:"mathtt",tex:null,ttype:A},{input:"fr",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"fr",tex:null,ttype:A,codes:H},{input:"mathfrak",tag:"mstyle",atname:"mathvariant",atval:"fraktur",output:"mathfrak",tex:null,ttype:A,codes:H}];function T(ac,ab){if(ac.input>ab.input){return 1}else{return -1}}var S=[];function n(){var ac;var ab=z.length;for(ac=0;ac<ab;ac++){if(z[ac].tex){z.push({input:z[ac].tex,tag:z[ac].tag,output:z[ac].output,ttype:z[ac].ttype,acc:(z[ac].acc||false)})}}B()}function B(){var ab;z.sort(T);for(ab=0;ab<z.length;ab++){S[ab]=z[ab].input}}function I(ab,ac){z.push({input:ab,tag:"mo",output:ac,tex:null,ttype:V});B()}function p(ad,ae){var ab;if(ad.charAt(ae)=="\\"&&ad.charAt(ae+1)!="\\"&&ad.charAt(ae+1)!=" "){ab=ad.slice(ae+1)}else{ab=ad.slice(ae)}for(var ac=0;ac<ab.length&&ab.charCodeAt(ac)<=32;ac=ac+1){}return ab.slice(ac)}function N(ac,af,ag){if(ag==0){var ae,ab;ag=-1;ae=ac.length;while(ag+1<ae){ab=(ag+ae)>>1;if(ac[ab]<af){ag=ab}else{ae=ab}}return ae}else{for(var ad=ag;ad<ac.length&&ac[ad]<af;ad++){}}return ad}function j(ah){var ab=0;var ac=0;var ae;var ak;var aj;var af="";var ag=true;for(var ad=1;ad<=ah.length&&ag;ad++){ak=ah.slice(0,ad);ac=ab;ab=N(S,ak,ac);if(ab<S.length&&ah.slice(0,S[ab].length)==S[ab]){af=S[ab];ae=ab;ad=af.length}ag=ab<S.length&&ah.slice(0,S[ab].length)>=S[ab]}s=y;if(af!=""){y=z[ae].ttype;return z[ae]}y=c;ab=1;ak=ah.slice(0,1);var ai=true;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}if(ak==d){ak=ah.slice(ab,ab+1);if("0"<=ak&&ak<="9"){ai=false;ab++;while("0"<=ak&&ak<="9"&&ab<=ah.length){ak=ah.slice(ab,ab+1);ab++}}}if((ai&&ab>1)||ab>2){ak=ah.slice(0,ab-1);aj="mn"}else{ab=2;ak=ah.slice(0,1);aj=(("A">ak||ak>"Z")&&("a">ak||ak>"z")?"mo":"mi")}if(ak=="-"&&s==i){y=i;return{input:ak,tag:aj,output:ak,ttype:A,func:true}}return{input:ak,tag:aj,output:ak,ttype:c}}function R(ac){var ab;if(!ac.hasChildNodes()){return}if(ac.firstChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.firstChild.firstChild.nodeValue;if(ab=="("||ab=="["||ab=="{"){ac.removeChild(ac.firstChild)}}if(ac.lastChild.hasChildNodes()&&(ac.nodeName=="mrow"||ac.nodeName=="M:MROW")){ab=ac.lastChild.firstChild.nodeValue;if(ab==")"||ab=="]"||ab=="}"){ac.removeChild(ac.lastChild)}}}var F,s,y;function G(ai){var ad,ac,al,af,ak,ag=e.createDocumentFragment();ai=p(ai,0);ad=j(ai);if(ad==null||ad.ttype==h&&F>0){return[null,ai]}if(ad.ttype==V){ai=ad.output+p(ai,ad.input.length);ad=j(ai)}switch(ad.ttype){case L:case c:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai];case b:F++;ai=p(ai,ad.input.length);al=q(ai,true);F--;if(typeof ad.invisible=="boolean"&&ad.invisible){ac=O("mrow",al[0])}else{ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0])}return[ac,al[1]];case Y:if(ad!=k){ai=p(ai,ad.input.length)}if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}else{if(ad==k){af=ai.slice(1).indexOf('"')+1}else{af=0}}}}if(af==-1){af=ai.length}ak=ai.slice(1,af);if(ak.charAt(0)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ag.appendChild(O(ad.tag,e.createTextNode(ak)));if(ak.charAt(ak.length-1)==" "){ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac)}ai=p(ai,af+1);return[O("mrow",ag),ai];case K:case A:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O(ad.tag,e.createTextNode(ad.output)),ai]}if(typeof ad.func=="boolean"&&ad.func){ak=ai.charAt(0);if(ak=="^"||ak=="_"||ak=="/"||ak=="|"||ak==","||(ad.input.length==1&&ad.input.match(/\w/)&&ak!="(")){return[O(ad.tag,e.createTextNode(ad.output)),ai]}else{ac=O("mrow",O(ad.tag,e.createTextNode(ad.output)));ac.appendChild(al[0]);return[ac,al[1]]}}R(al[0]);if(ad.input=="sqrt"){return[O(ad.tag,al[0]),al[1]]}else{if(typeof ad.rewriteleftright!="undefined"){ac=O("mrow",O("mo",e.createTextNode(ad.rewriteleftright[0])));ac.appendChild(al[0]);ac.appendChild(O("mo",e.createTextNode(ad.rewriteleftright[1])));return[ac,al[1]]}else{if(ad.input=="cancel"){ac=O(ad.tag,al[0]);ac.setAttribute("notation","updiagonalstrike");return[ac,al[1]]}else{if(typeof ad.acc=="boolean"&&ad.acc){ac=O(ad.tag,al[0]);var ah=O("mo",e.createTextNode(ad.output));if(ad.input=="vec"&&((al[0].nodeName=="mrow"&&al[0].childNodes.length==1&&al[0].firstChild.firstChild.nodeValue!==null&&al[0].firstChild.firstChild.nodeValue.length==1)||(al[0].firstChild.nodeValue!==null&&al[0].firstChild.nodeValue.length==1))){ah.setAttribute("stretchy",false)}ac.appendChild(ah);return[ac,al[1]]}else{if(!l&&typeof ad.codes!="undefined"){for(af=0;af<al[0].childNodes.length;af++){if(al[0].childNodes[af].nodeName=="mi"||al[0].nodeName=="mi"){ak=(al[0].nodeName=="mi"?al[0].firstChild.nodeValue:al[0].childNodes[af].firstChild.nodeValue);var aj=[];for(var ae=0;ae<ak.length;ae++){if(ak.charCodeAt(ae)>64&&ak.charCodeAt(ae)<91){aj=aj+ad.codes[ak.charCodeAt(ae)-65]}else{if(ak.charCodeAt(ae)>96&&ak.charCodeAt(ae)<123){aj=aj+ad.codes[ak.charCodeAt(ae)-71]}else{aj=aj+ak.charAt(ae)}}}if(al[0].nodeName=="mi"){al[0]=O("mo").appendChild(e.createTextNode(aj))}else{al[0].replaceChild(O("mo").appendChild(e.createTextNode(aj)),al[0].childNodes[af])}}}}ac=O(ad.tag,al[0]);ac.setAttribute(ad.atname,ad.atval);return[ac,al[1]]}}}}case U:ai=p(ai,ad.input.length);al=G(ai);if(al[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(al[0]);var ab=G(al[1]);if(ab[0]==null){return[O("mo",e.createTextNode(ad.input)),ai]}R(ab[0]);if(["color","class","id"].indexOf(ad.input)>=0){if(ai.charAt(0)=="{"){af=ai.indexOf("}")}else{if(ai.charAt(0)=="("){af=ai.indexOf(")")}else{if(ai.charAt(0)=="["){af=ai.indexOf("]")}}}ak=ai.slice(1,af);ac=O(ad.tag,ab[0]);if(ad.input==="color"){ac.setAttribute("mathcolor",ak)}else{if(ad.input==="class"){ac.setAttribute("class",ak)}else{if(ad.input==="id"){ac.setAttribute("id",ak)}}}return[ac,ab[1]]}if(ad.input=="root"||ad.output=="stackrel"){ag.appendChild(ab[0])}ag.appendChild(al[0]);if(ad.input=="frac"){ag.appendChild(ab[0])}return[O(ad.tag,ag),ab[1]];case i:ai=p(ai,ad.input.length);return[O("mo",e.createTextNode(ad.output)),ai];case a:ai=p(ai,ad.input.length);ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);ag.appendChild(O(ad.tag,e.createTextNode(ad.output)));ac=O("mspace");ac.setAttribute("width","1ex");ag.appendChild(ac);return[O("mrow",ag),ai];case m:F++;ai=p(ai,ad.input.length);al=q(ai,false);F--;ak="";if(al[0].lastChild!=null){ak=al[0].lastChild.firstChild.nodeValue}if(ak=="|"&&ai.charAt(0)!==","){ac=O("mo",e.createTextNode(ad.output));ac=O("mrow",ac);ac.appendChild(al[0]);return[ac,al[1]]}else{ac=O("mo",e.createTextNode("\u2223"));ac=O("mrow",ac);return[ac,ai]}default:ai=p(ai,ad.input.length);return[O(ad.tag,e.createTextNode(ad.output)),ai]}}function t(ah){var af,ai,ag,ae,ab,ad;ah=p(ah,0);ai=j(ah);ab=G(ah);ae=ab[0];ah=ab[1];af=j(ah);if(af.ttype==i&&af.input!="/"){ah=p(ah,af.input.length);ab=G(ah);if(ab[0]==null){ab[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ab[0])}ah=ab[1];ad=(ai.ttype==L||ai.ttype==K);if(af.input=="_"){ag=j(ah);if(ag.input=="^"){ah=p(ah,ag.input.length);var ac=G(ah);R(ac[0]);ah=ac[1];ae=O((ad?"munderover":"msubsup"),ae);ae.appendChild(ab[0]);ae.appendChild(ac[0]);ae=O("mrow",ae)}else{ae=O((ad?"munder":"msub"),ae);ae.appendChild(ab[0])}}else{if(af.input=="^"&&ad){ae=O("mover",ae);ae.appendChild(ab[0])}else{ae=O(af.tag,ae);ae.appendChild(ab[0])}}if(typeof ai.func!="undefined"&&ai.func){ag=j(ah);if(ag.ttype!=i&&ag.ttype!=h&&(ai.input.length>1||ag.ttype==b)){ab=t(ah);ae=O("mrow",ae);ae.appendChild(ab[0]);ah=ab[1]}}}return[ae,ah]}function q(ak,aj){var ao,al,ag,ar,ah=e.createDocumentFragment();do{ak=p(ak,0);ag=t(ak);al=ag[0];ak=ag[1];ao=j(ak);if(ao.ttype==i&&ao.input=="/"){ak=p(ak,ao.input.length);ag=t(ak);if(ag[0]==null){ag[0]=O("mo",e.createTextNode("\u25A1"))}else{R(ag[0])}ak=ag[1];R(al);al=O(ao.tag,al);al.appendChild(ag[0]);ah.appendChild(al);ao=j(ak)}else{if(al!=undefined){ah.appendChild(al)}}}while((ao.ttype!=h&&(ao.ttype!=m||aj)||F==0)&&ao!=null&&ao.output!="");if(ao.ttype==h||ao.ttype==m){var at=ah.childNodes.length;if(at>0&&ah.childNodes[at-1].nodeName=="mrow"&&ah.childNodes[at-1].lastChild&&ah.childNodes[at-1].lastChild.firstChild){var av=ah.childNodes[at-1].lastChild.firstChild.nodeValue;if(av==")"||av=="]"){var ac=ah.childNodes[at-1].firstChild.firstChild.nodeValue;if(ac=="("&&av==")"&&ao.output!="}"||ac=="["&&av=="]"){var ad=[];var ap=true;var am=ah.childNodes.length;for(ar=0;ap&&ar<am;ar=ar+2){ad[ar]=[];al=ah.childNodes[ar];if(ap){ap=al.nodeName=="mrow"&&(ar==am-1||al.nextSibling.nodeName=="mo"&&al.nextSibling.firstChild.nodeValue==",")&&al.firstChild.firstChild.nodeValue==ac&&al.lastChild.firstChild.nodeValue==av}if(ap){for(var aq=0;aq<al.childNodes.length;aq++){if(al.childNodes[aq].firstChild.nodeValue==","){ad[ar][ad[ar].length]=aq}}}if(ap&&ar>1){ap=ad[ar].length==ad[ar-2].length}}ap=ap&&(ad.length>1||ad[0].length>0);var af=[];if(ap){var ae,ab,ai,an,au=e.createDocumentFragment();for(ar=0;ar<am;ar=ar+2){ae=e.createDocumentFragment();ab=e.createDocumentFragment();al=ah.firstChild;ai=al.childNodes.length;an=0;al.removeChild(al.firstChild);for(aq=1;aq<ai-1;aq++){if(typeof ad[ar][an]!="undefined"&&aq==ad[ar][an]){al.removeChild(al.firstChild);if(al.firstChild.nodeName=="mrow"&&al.firstChild.childNodes.length==1&&al.firstChild.firstChild.firstChild.nodeValue=="\u2223"){if(ar==0){af.push("solid")}al.removeChild(al.firstChild);al.removeChild(al.firstChild);aq+=2;an++}else{if(ar==0){af.push("none")}}ae.appendChild(O("mtd",ab));an++}else{ab.appendChild(al.firstChild)}}ae.appendChild(O("mtd",ab));if(ar==0){af.push("none")}if(ah.childNodes.length>2){ah.removeChild(ah.firstChild);ah.removeChild(ah.firstChild)}au.appendChild(O("mtr",ae))}al=O("mtable",au);al.setAttribute("columnlines",af.join(" "));if(typeof ao.invisible=="boolean"&&ao.invisible){al.setAttribute("columnalign","left")}ah.replaceChild(al,ah.firstChild)}}}}ak=p(ak,ao.input.length);if(typeof ao.invisible!="boolean"||!ao.invisible){al=O("mo",e.createTextNode(ao.output));ah.appendChild(al)}}return[ah,ak]}function M(ad,ac){var ae,ab;F=0;ad=ad.replace(/&nbsp;/g,"");ad=ad.replace(/&gt;/g,">");ad=ad.replace(/&lt;/g,"<");ae=q(ad.replace(/^\s+/g,""),false)[0];ab=O("mstyle",ae);if(C!=""){ab.setAttribute("mathcolor",C)}if(mathfontsize!=""){ab.setAttribute("fontsize",mathfontsize);ab.setAttribute("mathsize",mathfontsize)}if(mathfontfamily!=""){ab.setAttribute("fontfamily",mathfontfamily);ab.setAttribute("mathvariant",mathfontfamily)}if(o){ab.setAttribute("displaystyle","true")}ab=O("math",ab);if(v){ab.setAttribute("title",ad.replace(/\s+/g," "))}return ab}v=false;mathfontfamily="";C="";mathfontsize="";(function(){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].codes){delete z[ac].codes}if(z[ac].func){z[ac].tag="mi"}}})();aa.Augment({AM:{Init:function(){o=aa.config.displaystyle;d=(aa.config.decimal||aa.config.decimalsign);if(!aa.config.fixphi){for(var ac=0,ab=z.length;ac<ab;ac++){if(z[ac].input==="phi"){z[ac].output="\u03C6"}if(z[ac].input==="varphi"){z[ac].output="\u03D5";ac=ab}}}x();n()},Augment:function(ab){for(var ac in ab){if(ab.hasOwnProperty(ac)){switch(ac){case"displaystyle":o=ab[ac];break;case"decimal":decimal=ab[ac];break;case"parseMath":M=ab[ac];break;case"parseExpr":q=ab[ac];break;case"parseIexpr":t=ab[ac];break;case"parseSexpr":G=ab[ac];break;case"removeBrackets":R=ab[ac];break;case"getSymbol":j=ab[ac];break;case"position":N=ab[ac];break;case"removeCharsAndBlanks":p=ab[ac];break;case"createMmlNode":O=ab[ac];break;case"createElementMathML":P=ab[ac];break;case"createElementXHTML":E=ab[ac];break;case"initSymbols":n=ab[ac];break;case"refreshSymbols":B=ab[ac];break;case"compareNames":T=ab[ac];break}this[ac]=ab[ac]}}},parseMath:M,parseExpr:q,parseIexpr:t,parseSexr:G,removeBrackets:R,getSymbol:j,position:N,removeCharsAndBlanks:p,createMmlNode:O,createElementMathML:P,createElementXHTML:E,initSymbols:n,refreshSymbols:B,compareNames:T,createDocumentFragment:X,document:e,define:I,newcommand:u,newsymbol:r,symbols:z,names:S,TOKEN:{CONST:c,UNARY:A,BINARY:U,INFIX:i,LEFTBRACKET:b,RIGHTBRACKET:h,SPACE:a,UNDEROVER:L,DEFINITION:V,LEFTRIGHT:m,TEXT:Y,UNARYUNDEROVER:K}}});var Z=[Q,J];Z=null})(MathJax.InputJax.AsciiMath);(function(b){var a;b.Augment({sourceMenuTitle:["AsciiMathInput","AsciiMath Input"],annotationEncoding:"text/x-asciimath",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Translate:function(c){var d,f=MathJax.HTML.getScript(c);var g={math:f,script:c};var h=this.prefilterHooks.Execute(g);if(h){return h}f=g.math;try{d=this.AM.parseMath(f)}catch(e){if(!e.asciimathError){throw e}d=this.formatError(e,f)}g.math=a(d);this.postfilterHooks.Execute(g);return this.postfilterHooks.Execute(g)||g.math},formatError:function(f,e,c){var d=f.message.replace(/\n.*/,"");MathJax.Hub.signal.Post(["AsciiMath Jax - parse error",d,e,c]);return a.Error(d)},Error:function(c){throw MathJax.Hub.Insert(Error(c),{asciimathError:true})},Startup:function(){a=MathJax.ElementJax.mml;this.AM.Init()}});b.loadComplete("jax.js")})(MathJax.InputJax.AsciiMath);
diff --git a/jax/input/MathML/config.js b/jax/input/MathML/config.js
index 0897e17f1b..dc4f8a205a 100644
--- a/jax/input/MathML/config.js
+++ b/jax/input/MathML/config.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/config.js
+ *  /MathJax-v2/jax/input/MathML/config.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.6",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
+MathJax.InputJax.MathML=MathJax.InputJax({id:"MathML",version:"2.7.9",directory:MathJax.InputJax.directory+"/MathML",extensionDir:MathJax.InputJax.extensionDir+"/MathML",entityDir:MathJax.InputJax.directory+"/MathML/entities",config:{useMathMLspacing:false}});MathJax.InputJax.MathML.Register("math/mml");MathJax.InputJax.MathML.loadComplete("config.js");
diff --git a/jax/input/MathML/entities/a.js b/jax/input/MathML/entities/a.js
index dd0ba9f9bc..5c5ed3a83b 100644
--- a/jax/input/MathML/entities/a.js
+++ b/jax/input/MathML/entities/a.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/a.js
+ *  /MathJax-v2/jax/input/MathML/entities/a.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/b.js b/jax/input/MathML/entities/b.js
index 5862381e9a..c24835cc1a 100644
--- a/jax/input/MathML/entities/b.js
+++ b/jax/input/MathML/entities/b.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/b.js
+ *  /MathJax-v2/jax/input/MathML/entities/b.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/c.js b/jax/input/MathML/entities/c.js
index 50a4b729ce..64dba4a645 100644
--- a/jax/input/MathML/entities/c.js
+++ b/jax/input/MathML/entities/c.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/c.js
+ *  /MathJax-v2/jax/input/MathML/entities/c.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/d.js b/jax/input/MathML/entities/d.js
index 98ec0945ca..65263a4d10 100644
--- a/jax/input/MathML/entities/d.js
+++ b/jax/input/MathML/entities/d.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/d.js
+ *  /MathJax-v2/jax/input/MathML/entities/d.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/e.js b/jax/input/MathML/entities/e.js
index 9cbbfb0afd..6c079f0667 100644
--- a/jax/input/MathML/entities/e.js
+++ b/jax/input/MathML/entities/e.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/e.js
+ *  /MathJax-v2/jax/input/MathML/entities/e.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/f.js b/jax/input/MathML/entities/f.js
index b9f23d0a9f..d4a3c5d775 100644
--- a/jax/input/MathML/entities/f.js
+++ b/jax/input/MathML/entities/f.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/f.js
+ *  /MathJax-v2/jax/input/MathML/entities/f.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/fr.js b/jax/input/MathML/entities/fr.js
index 7e20a9905d..fdd741abfc 100644
--- a/jax/input/MathML/entities/fr.js
+++ b/jax/input/MathML/entities/fr.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/fr.js
+ *  /MathJax-v2/jax/input/MathML/entities/fr.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/g.js b/jax/input/MathML/entities/g.js
index 9dfe8a071f..5b4f23f60d 100644
--- a/jax/input/MathML/entities/g.js
+++ b/jax/input/MathML/entities/g.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/g.js
+ *  /MathJax-v2/jax/input/MathML/entities/g.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/h.js b/jax/input/MathML/entities/h.js
index f7eb7b9a35..94c64b9983 100644
--- a/jax/input/MathML/entities/h.js
+++ b/jax/input/MathML/entities/h.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/h.js
+ *  /MathJax-v2/jax/input/MathML/entities/h.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/i.js b/jax/input/MathML/entities/i.js
index 352b15b468..32d15e65d4 100644
--- a/jax/input/MathML/entities/i.js
+++ b/jax/input/MathML/entities/i.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/i.js
+ *  /MathJax-v2/jax/input/MathML/entities/i.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/j.js b/jax/input/MathML/entities/j.js
index 2346bea2c7..dffc4f0d7a 100644
--- a/jax/input/MathML/entities/j.js
+++ b/jax/input/MathML/entities/j.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/j.js
+ *  /MathJax-v2/jax/input/MathML/entities/j.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/k.js b/jax/input/MathML/entities/k.js
index 355183f7dd..cf9e51a753 100644
--- a/jax/input/MathML/entities/k.js
+++ b/jax/input/MathML/entities/k.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/k.js
+ *  /MathJax-v2/jax/input/MathML/entities/k.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/l.js b/jax/input/MathML/entities/l.js
index 85f87195c6..3669329869 100644
--- a/jax/input/MathML/entities/l.js
+++ b/jax/input/MathML/entities/l.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/l.js
+ *  /MathJax-v2/jax/input/MathML/entities/l.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/m.js b/jax/input/MathML/entities/m.js
index 433ed0317c..2c5897f5ff 100644
--- a/jax/input/MathML/entities/m.js
+++ b/jax/input/MathML/entities/m.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/m.js
+ *  /MathJax-v2/jax/input/MathML/entities/m.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/n.js b/jax/input/MathML/entities/n.js
index c505cb0a4c..8d1cbce5a3 100644
--- a/jax/input/MathML/entities/n.js
+++ b/jax/input/MathML/entities/n.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/n.js
+ *  /MathJax-v2/jax/input/MathML/entities/n.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/o.js b/jax/input/MathML/entities/o.js
index aaf2813a6b..233696f579 100644
--- a/jax/input/MathML/entities/o.js
+++ b/jax/input/MathML/entities/o.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/o.js
+ *  /MathJax-v2/jax/input/MathML/entities/o.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/opf.js b/jax/input/MathML/entities/opf.js
index 1ecf65080f..4bb9b0b6b3 100644
--- a/jax/input/MathML/entities/opf.js
+++ b/jax/input/MathML/entities/opf.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/opf.js
+ *  /MathJax-v2/jax/input/MathML/entities/opf.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/p.js b/jax/input/MathML/entities/p.js
index 3bd00fec6c..3a00ae1b29 100644
--- a/jax/input/MathML/entities/p.js
+++ b/jax/input/MathML/entities/p.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/p.js
+ *  /MathJax-v2/jax/input/MathML/entities/p.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/q.js b/jax/input/MathML/entities/q.js
index 9e8b8afee7..9200acf794 100644
--- a/jax/input/MathML/entities/q.js
+++ b/jax/input/MathML/entities/q.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/q.js
+ *  /MathJax-v2/jax/input/MathML/entities/q.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/r.js b/jax/input/MathML/entities/r.js
index a1e6808dab..25d96b4fa8 100644
--- a/jax/input/MathML/entities/r.js
+++ b/jax/input/MathML/entities/r.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/r.js
+ *  /MathJax-v2/jax/input/MathML/entities/r.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/s.js b/jax/input/MathML/entities/s.js
index c644a03c07..ee382306c0 100644
--- a/jax/input/MathML/entities/s.js
+++ b/jax/input/MathML/entities/s.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/s.js
+ *  /MathJax-v2/jax/input/MathML/entities/s.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/scr.js b/jax/input/MathML/entities/scr.js
index 092d19da7a..3f05586754 100644
--- a/jax/input/MathML/entities/scr.js
+++ b/jax/input/MathML/entities/scr.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/scr.js
+ *  /MathJax-v2/jax/input/MathML/entities/scr.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/t.js b/jax/input/MathML/entities/t.js
index 8fe8094406..0c4bd3cdaf 100644
--- a/jax/input/MathML/entities/t.js
+++ b/jax/input/MathML/entities/t.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/t.js
+ *  /MathJax-v2/jax/input/MathML/entities/t.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/u.js b/jax/input/MathML/entities/u.js
index 099d5670ec..7170bc37e4 100644
--- a/jax/input/MathML/entities/u.js
+++ b/jax/input/MathML/entities/u.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/u.js
+ *  /MathJax-v2/jax/input/MathML/entities/u.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/v.js b/jax/input/MathML/entities/v.js
index c0736ce886..03f0e42dfb 100644
--- a/jax/input/MathML/entities/v.js
+++ b/jax/input/MathML/entities/v.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/v.js
+ *  /MathJax-v2/jax/input/MathML/entities/v.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/w.js b/jax/input/MathML/entities/w.js
index 9a490a4074..f62f8ae8a5 100644
--- a/jax/input/MathML/entities/w.js
+++ b/jax/input/MathML/entities/w.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/w.js
+ *  /MathJax-v2/jax/input/MathML/entities/w.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/x.js b/jax/input/MathML/entities/x.js
index c9d5fe1d27..78282b5373 100644
--- a/jax/input/MathML/entities/x.js
+++ b/jax/input/MathML/entities/x.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/x.js
+ *  /MathJax-v2/jax/input/MathML/entities/x.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/y.js b/jax/input/MathML/entities/y.js
index a06fb3e278..0540783640 100644
--- a/jax/input/MathML/entities/y.js
+++ b/jax/input/MathML/entities/y.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/y.js
+ *  /MathJax-v2/jax/input/MathML/entities/y.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/entities/z.js b/jax/input/MathML/entities/z.js
index 449c6e07e2..545533b292 100644
--- a/jax/input/MathML/entities/z.js
+++ b/jax/input/MathML/entities/z.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/entities/z.js
+ *  /MathJax-v2/jax/input/MathML/entities/z.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/MathML/jax.js b/jax/input/MathML/jax.js
index b85e5c4052..579e1fb5bf 100644
--- a/jax/input/MathML/jax.js
+++ b/jax/input/MathML/jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/MathML/jax.js
+ *  /MathJax-v2/jax/input/MathML/jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/input/TeX/config.js b/jax/input/TeX/config.js
index 6afadcab20..ac465db331 100644
--- a/jax/input/TeX/config.js
+++ b/jax/input/TeX/config.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/TeX/config.js
+ *  /MathJax-v2/jax/input/TeX/config.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.6",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
+MathJax.InputJax.TeX=MathJax.InputJax({id:"TeX",version:"2.7.9",directory:MathJax.InputJax.directory+"/TeX",extensionDir:MathJax.InputJax.extensionDir+"/TeX",config:{TagSide:"right",TagIndent:"0.8em",MultLineWidth:"85%",equationNumbers:{autoNumber:"none",formatNumber:function(a){return a},formatTag:function(a){return"("+a+")"},formatID:function(a){return"mjx-eqn-"+String(a).replace(/\s/g,"_")},formatURL:function(b,a){return a+"#"+encodeURIComponent(b)},useLabelIds:true}},resetEquationNumbers:function(){}});MathJax.InputJax.TeX.Register("math/tex");MathJax.InputJax.TeX.loadComplete("config.js");
diff --git a/jax/input/TeX/jax.js b/jax/input/TeX/jax.js
index 5fea334d31..109a3cfa3a 100644
--- a/jax/input/TeX/jax.js
+++ b/jax/input/TeX/jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/input/TeX/jax.js
+ *  /MathJax-v2/jax/input/TeX/jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:"Cr",hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(n,m,o){var p=i.mphantom(this.ParseArg(n));if(m||o){p=i.mpadded(p);if(o){p.height=p.depth=0}if(m){p.width=0}}this.Push(i.TeXAtom(p))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(m){var q;if(this.string.charAt(this.i)==="["){q=this.GetBrackets(m,"").replace(/ /g,"").replace(/,/,".");if(q&&!this.matchDimen(q)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",m])}}this.Push(b.cell().With({isCR:true,name:m,linebreak:true}));var p=this.stack.Top();if(p.isa(b.array)){if(q&&p.arraydef.rowspacing){var o=p.arraydef.rowspacing.split(/ /);if(!p.rowspacing){p.rowspacing=this.dimen2em(o[0])}while(o.length<p.table.length){o.push(this.Em(p.rowspacing))}o[p.table.length-1]=this.Em(Math.max(0,p.rowspacing+this.dimen2em(q)));p.arraydef.rowspacing=o.join(" ")}}else{if(q){this.Push(i.mspace().With({depth:q}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
+(function(d,c,j){var i,h="\u00A0";var k=function(m){return MathJax.Localization._.apply(MathJax.Localization,[["TeX",m]].concat([].slice.call(arguments,1)))};var f=MathJax.Object.isArray;var e=MathJax.Object.Subclass({Init:function(n,m){this.global={isInner:m};this.data=[b.start(this.global)];if(n){this.data[0].env=n}this.env=this.data[0].env},Push:function(){var o,n,p,q;for(o=0,n=arguments.length;o<n;o++){p=arguments[o];if(!p){continue}if(p instanceof i.mbase){p=b.mml(p)}p.global=this.global;q=(this.data.length?this.Top().checkItem(p):true);if(q instanceof Array){this.Pop();this.Push.apply(this,q)}else{if(q instanceof b){this.Pop();this.Push(q)}else{if(q){this.data.push(p);if(p.env){if(p.copyEnv!==false){for(var r in this.env){if(this.env.hasOwnProperty(r)){p.env[r]=this.env[r]}}}this.env=p.env}else{p.env=this.env}}}}}},Pop:function(){var m=this.data.pop();if(!m.isOpen){delete m.env}this.env=(this.data.length?this.Top().env:{});return m},Top:function(m){if(m==null){m=1}if(this.data.length<m){return null}return this.data[this.data.length-m]},Prev:function(m){var n=this.Top();if(m){return n.data[n.data.length-1]}else{return n.Pop()}},toString:function(){return"stack[\n  "+this.data.join("\n  ")+"\n]"}});var b=e.Item=MathJax.Object.Subclass({type:"base",endError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],closeError:["ExtraCloseMissingOpen","Extra close brace or missing open brace"],rightError:["MissingLeftExtraRight","Missing \\left or extra \\right"],Init:function(){if(this.isOpen){this.env={}}this.data=[];this.Push.apply(this,arguments)},Push:function(){this.data.push.apply(this.data,arguments)},Pop:function(){return this.data.pop()},mmlData:function(m,n){if(m==null){m=true}if(this.data.length===1&&!n){return this.data[0]}return i.mrow.apply(i,this.data).With((m?{inferred:true}:{}))},checkItem:function(m){if(m.type==="over"&&this.isOpen){m.num=this.mmlData(false);this.data=[]}if(m.type==="cell"&&this.isOpen){if(m.linebreak){return false}d.Error(["Misplaced","Misplaced %1",m.name])}if(m.isClose&&this[m.type+"Error"]){d.Error(this[m.type+"Error"])}if(!m.isNotStack){return true}this.Push(m.data[0]);return false},With:function(m){for(var n in m){if(m.hasOwnProperty(n)){this[n]=m[n]}}return this},toString:function(){return this.type+"["+this.data.join("; ")+"]"}});b.start=b.Subclass({type:"start",isOpen:true,Init:function(m){this.SUPER(arguments).Init.call(this);this.global=m},checkItem:function(m){if(m.type==="stop"){return b.mml(this.mmlData())}return this.SUPER(arguments).checkItem.call(this,m)}});b.stop=b.Subclass({type:"stop",isClose:true});b.open=b.Subclass({type:"open",isOpen:true,stopError:["ExtraOpenMissingClose","Extra open brace or missing close brace"],checkItem:function(n){if(n.type==="close"){var m=this.mmlData();return b.mml(i.TeXAtom(m))}return this.SUPER(arguments).checkItem.call(this,n)}});b.close=b.Subclass({type:"close",isClose:true});b.prime=b.Subclass({type:"prime",checkItem:function(m){if(this.data[0].type!=="msubsup"){return[i.msup(this.data[0],this.data[1]),m]}this.data[0].SetData(this.data[0].sup,this.data[1]);return[this.data[0],m]}});b.subsup=b.Subclass({type:"subsup",stopError:["MissingScript","Missing superscript or subscript argument"],supError:["MissingOpenForSup","Missing open brace for superscript"],subError:["MissingOpenForSub","Missing open brace for subscript"],checkItem:function(m){if(m.type==="open"||m.type==="left"){return true}if(m.type==="mml"){if(this.primes){if(this.position!==2){this.data[0].SetData(2,this.primes)}else{m.data[0]=i.mrow(this.primes.With({variantForm:true}),m.data[0])}}this.data[0].SetData(this.position,m.data[0]);if(this.movesupsub!=null){this.data[0].movesupsub=this.movesupsub}return b.mml(this.data[0])}if(this.SUPER(arguments).checkItem.call(this,m)){d.Error(this[["","subError","supError"][this.position]])}},Pop:function(){}});b.over=b.Subclass({type:"over",isClose:true,name:"\\over",checkItem:function(o,m){if(o.type==="over"){d.Error(["AmbiguousUseOf","Ambiguous use of %1",o.name])}if(o.isClose){var n=i.mfrac(this.num,this.mmlData(false));if(this.thickness!=null){n.linethickness=this.thickness}if(this.open||this.close){n.texWithDelims=true;n=d.fixedFence(this.open,n,this.close)}return[b.mml(n),o]}return this.SUPER(arguments).checkItem.call(this,o)},toString:function(){return"over["+this.num+" / "+this.data.join("; ")+"]"}});b.left=b.Subclass({type:"left",isOpen:true,delim:"(",stopError:["ExtraLeftMissingRight","Extra \\left or missing \\right"],checkItem:function(m){if(m.type==="right"){return b.mml(d.fenced(this.delim,this.mmlData(),m.delim))}return this.SUPER(arguments).checkItem.call(this,m)}});b.right=b.Subclass({type:"right",isClose:true,delim:")"});b.begin=b.Subclass({type:"begin",isOpen:true,checkItem:function(m){if(m.type==="end"){if(m.name!==this.name){d.Error(["EnvBadEnd","\\begin{%1} ended with \\end{%2}",this.name,m.name])}if(!this.end){return b.mml(this.mmlData())}return this.parse[this.end].call(this.parse,this,this.data)}if(m.type==="stop"){d.Error(["EnvMissingEnd","Missing \\end{%1}",this.name])}return this.SUPER(arguments).checkItem.call(this,m)}});b.end=b.Subclass({type:"end",isClose:true});b.style=b.Subclass({type:"style",checkItem:function(n){if(!n.isClose){return this.SUPER(arguments).checkItem.call(this,n)}var m=i.mstyle.apply(i,this.data).With(this.styles);return[b.mml(m),n]}});b.position=b.Subclass({type:"position",checkItem:function(n){if(n.isClose){d.Error(["MissingBoxFor","Missing box for %1",this.name])}if(n.isNotStack){var m=n.mmlData();switch(this.move){case"vertical":m=i.mpadded(m).With({height:this.dh,depth:this.dd,voffset:this.dh});return[b.mml(m)];case"horizontal":return[b.mml(this.left),n,b.mml(this.right)]}}return this.SUPER(arguments).checkItem.call(this,n)}});b.array=b.Subclass({type:"array",isOpen:true,copyEnv:false,arraydef:{},Init:function(){this.table=[];this.row=[];this.frame=[];this.hfill=[];this.SUPER(arguments).Init.apply(this,arguments)},checkItem:function(n){if(n.isClose&&n.type!=="over"){if(n.isEntry){this.EndEntry();this.clearEnv();return false}if(n.isCR){this.EndEntry();this.EndRow();this.clearEnv();return false}this.EndTable();this.clearEnv();var o=this.arraydef.scriptlevel;delete this.arraydef.scriptlevel;var m=i.mtable.apply(i,this.table).With(this.arraydef);if(this.frame.length===4){m.frame=(this.frame.dashed?"dashed":"solid")}else{if(this.frame.length){m.hasFrame=true;if(this.arraydef.rowlines){this.arraydef.rowlines=this.arraydef.rowlines.replace(/none( none)+$/,"none")}m=i.menclose(m).With({notation:this.frame.join(" "),isFrame:true});if((this.arraydef.columnlines||"none")!="none"||(this.arraydef.rowlines||"none")!="none"){m.padding=0}}}if(o){m=i.mstyle(m).With({scriptlevel:o})}if(this.open||this.close){m=d.fenced(this.open,m,this.close)}m=b.mml(m);if(this.requireClose){if(n.type==="close"){return m}d.Error(["MissingCloseBrace","Missing close brace"])}return[m,n]}return this.SUPER(arguments).checkItem.call(this,n)},EndEntry:function(){var m=i.mtd.apply(i,this.data);if(this.hfill.length){if(this.hfill[0]===0){m.columnalign="right"}if(this.hfill[this.hfill.length-1]===this.data.length){m.columnalign=(m.columnalign?"center":"left")}}this.row.push(m);this.data=[];this.hfill=[]},EndRow:function(){var m=i.mtr;if(this.isNumbered&&this.row.length===3){this.row.unshift(this.row.pop());m=i.mlabeledtr}this.table.push(m.apply(i,this.row));this.row=[]},EndTable:function(){if(this.data.length||this.row.length){this.EndEntry();this.EndRow()}this.checkLines()},checkLines:function(){if(this.arraydef.rowlines){var m=this.arraydef.rowlines.split(/ /);if(m.length===this.table.length){this.frame.push("bottom");m.pop();this.arraydef.rowlines=m.join(" ")}else{if(m.length<this.table.length-1){this.arraydef.rowlines+=" none"}}}if(this.rowspacing){var n=this.arraydef.rowspacing.split(/ /);while(n.length<this.table.length){n.push(this.rowspacing+"em")}this.arraydef.rowspacing=n.join(" ")}},clearEnv:function(){for(var m in this.env){if(this.env.hasOwnProperty(m)){delete this.env[m]}}}});b.cell=b.Subclass({type:"cell",isClose:true});b.mml=b.Subclass({type:"mml",isNotStack:true,Add:function(){this.data.push.apply(this.data,arguments);return this}});b.fn=b.Subclass({type:"fn",checkItem:function(n){if(this.data[0]){if(n.isOpen){return true}if(n.type!=="fn"){if(n.type!=="mml"||!n.data[0]){return[this.data[0],n]}if(n.data[0].isa(i.mspace)){return[this.data[0],n]}var m=n.data[0];if(m.isEmbellished()){m=m.CoreMO()}if([0,0,1,1,0,1,1,0,0,0][m.Get("texClass")]){return[this.data[0],n]}}return[this.data[0],i.mo(i.entity("#x2061")).With({texClass:i.TEXCLASS.NONE}),n]}return this.SUPER(arguments).checkItem.apply(this,arguments)}});b.not=b.Subclass({type:"not",checkItem:function(n){var m,o;if(n.type==="open"||n.type==="left"){return true}if(n.type==="mml"&&n.data[0].type.match(/^(mo|mi|mtext)$/)){m=n.data[0],o=m.data.join("");if(o.length===1&&!m.movesupsub&&m.data.length===1){o=b.not.remap[o.charCodeAt(0)];if(o){m.SetData(0,i.chars(String.fromCharCode(o)))}else{m.Append(i.chars("\u0338"))}return n}}m=i.mpadded(i.mtext("\u29F8")).With({width:0});m=i.TeXAtom(m).With({texClass:i.TEXCLASS.REL});return[m,n]}});b.not.remap={8592:8602,8594:8603,8596:8622,8656:8653,8658:8655,8660:8654,8712:8713,8715:8716,8739:8740,8741:8742,8764:8769,126:8769,8771:8772,8773:8775,8776:8777,8781:8813,61:8800,8801:8802,60:8814,62:8815,8804:8816,8805:8817,8818:8820,8819:8821,8822:8824,8823:8825,8826:8832,8827:8833,8834:8836,8835:8837,8838:8840,8839:8841,8866:8876,8872:8877,8873:8878,8875:8879,8828:8928,8829:8929,8849:8930,8850:8931,8882:8938,8883:8939,8884:8940,8885:8941,8707:8708};b.dots=b.Subclass({type:"dots",checkItem:function(n){if(n.type==="open"||n.type==="left"){return true}var o=this.ldots;if(n.type==="mml"&&n.data[0].isEmbellished()){var m=n.data[0].CoreMO().Get("texClass");if(m===i.TEXCLASS.BIN||m===i.TEXCLASS.REL){o=this.cdots}}return[o,n]}});var g={Add:function(m,p,o){if(!p){p=this}for(var n in m){if(m.hasOwnProperty(n)){if(typeof m[n]==="object"&&!f(m[n])&&(typeof p[n]==="object"||typeof p[n]==="function")){this.Add(m[n],p[n],m[n],o)}else{if(!p[n]||!p[n].isUser||!o){p[n]=m[n]}}}}return p}};var l=function(){i=MathJax.ElementJax.mml;c.Insert(g,{letter:/[a-z]/i,digit:/[0-9.]/,number:/^(?:[0-9]+(?:\{,\}[0-9]{3})*(?:\.[0-9]*)*|\.[0-9]+)/,special:{"\\":"ControlSequence","{":"Open","}":"Close","~":"Tilde","^":"Superscript",_:"Subscript"," ":"Space","\t":"Space","\r":"Space","\n":"Space","'":"Prime","%":"Comment","&":"Entry","#":"Hash","\u00A0":"Space","\u2019":"Prime"},remap:{"-":"2212","*":"2217","`":"2018"},mathchar0mi:{alpha:"03B1",beta:"03B2",gamma:"03B3",delta:"03B4",epsilon:"03F5",zeta:"03B6",eta:"03B7",theta:"03B8",iota:"03B9",kappa:"03BA",lambda:"03BB",mu:"03BC",nu:"03BD",xi:"03BE",omicron:"03BF",pi:"03C0",rho:"03C1",sigma:"03C3",tau:"03C4",upsilon:"03C5",phi:"03D5",chi:"03C7",psi:"03C8",omega:"03C9",varepsilon:"03B5",vartheta:"03D1",varpi:"03D6",varrho:"03F1",varsigma:"03C2",varphi:"03C6",S:["00A7",{mathvariant:i.VARIANT.NORMAL}],aleph:["2135",{mathvariant:i.VARIANT.NORMAL}],hbar:["210F",{variantForm:true}],imath:"0131",jmath:"0237",ell:"2113",wp:["2118",{mathvariant:i.VARIANT.NORMAL}],Re:["211C",{mathvariant:i.VARIANT.NORMAL}],Im:["2111",{mathvariant:i.VARIANT.NORMAL}],partial:["2202",{mathvariant:i.VARIANT.NORMAL}],infty:["221E",{mathvariant:i.VARIANT.NORMAL}],prime:["2032",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],emptyset:["2205",{mathvariant:i.VARIANT.NORMAL}],nabla:["2207",{mathvariant:i.VARIANT.NORMAL}],top:["22A4",{mathvariant:i.VARIANT.NORMAL}],bot:["22A5",{mathvariant:i.VARIANT.NORMAL}],angle:["2220",{mathvariant:i.VARIANT.NORMAL}],triangle:["25B3",{mathvariant:i.VARIANT.NORMAL}],backslash:["2216",{mathvariant:i.VARIANT.NORMAL,variantForm:true}],forall:["2200",{mathvariant:i.VARIANT.NORMAL}],exists:["2203",{mathvariant:i.VARIANT.NORMAL}],neg:["00AC",{mathvariant:i.VARIANT.NORMAL}],lnot:["00AC",{mathvariant:i.VARIANT.NORMAL}],flat:["266D",{mathvariant:i.VARIANT.NORMAL}],natural:["266E",{mathvariant:i.VARIANT.NORMAL}],sharp:["266F",{mathvariant:i.VARIANT.NORMAL}],clubsuit:["2663",{mathvariant:i.VARIANT.NORMAL}],diamondsuit:["2662",{mathvariant:i.VARIANT.NORMAL}],heartsuit:["2661",{mathvariant:i.VARIANT.NORMAL}],spadesuit:["2660",{mathvariant:i.VARIANT.NORMAL}]},mathchar0mo:{surd:"221A",coprod:["2210",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigvee:["22C1",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigwedge:["22C0",{texClass:i.TEXCLASS.OP,movesupsub:true}],biguplus:["2A04",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcap:["22C2",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigcup:["22C3",{texClass:i.TEXCLASS.OP,movesupsub:true}],"int":["222B",{texClass:i.TEXCLASS.OP}],intop:["222B",{texClass:i.TEXCLASS.OP,movesupsub:true,movablelimits:true}],iint:["222C",{texClass:i.TEXCLASS.OP}],iiint:["222D",{texClass:i.TEXCLASS.OP}],prod:["220F",{texClass:i.TEXCLASS.OP,movesupsub:true}],sum:["2211",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigotimes:["2A02",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigoplus:["2A01",{texClass:i.TEXCLASS.OP,movesupsub:true}],bigodot:["2A00",{texClass:i.TEXCLASS.OP,movesupsub:true}],oint:["222E",{texClass:i.TEXCLASS.OP}],bigsqcup:["2A06",{texClass:i.TEXCLASS.OP,movesupsub:true}],smallint:["222B",{largeop:false}],triangleleft:"25C3",triangleright:"25B9",bigtriangleup:"25B3",bigtriangledown:"25BD",wedge:"2227",land:"2227",vee:"2228",lor:"2228",cap:"2229",cup:"222A",ddagger:"2021",dagger:"2020",sqcap:"2293",sqcup:"2294",uplus:"228E",amalg:"2A3F",diamond:"22C4",bullet:"2219",wr:"2240",div:"00F7",odot:["2299",{largeop:false}],oslash:["2298",{largeop:false}],otimes:["2297",{largeop:false}],ominus:["2296",{largeop:false}],oplus:["2295",{largeop:false}],mp:"2213",pm:"00B1",circ:"2218",bigcirc:"25EF",setminus:["2216",{variantForm:true}],cdot:"22C5",ast:"2217",times:"00D7",star:"22C6",propto:"221D",sqsubseteq:"2291",sqsupseteq:"2292",parallel:"2225",mid:"2223",dashv:"22A3",vdash:"22A2",leq:"2264",le:"2264",geq:"2265",ge:"2265",lt:"003C",gt:"003E",succ:"227B",prec:"227A",approx:"2248",succeq:"2AB0",preceq:"2AAF",supset:"2283",subset:"2282",supseteq:"2287",subseteq:"2286","in":"2208",ni:"220B",notin:"2209",owns:"220B",gg:"226B",ll:"226A",sim:"223C",simeq:"2243",perp:"22A5",equiv:"2261",asymp:"224D",smile:"2323",frown:"2322",ne:"2260",neq:"2260",cong:"2245",doteq:"2250",bowtie:"22C8",models:"22A8",notChar:"29F8",Leftrightarrow:"21D4",Leftarrow:"21D0",Rightarrow:"21D2",leftrightarrow:"2194",leftarrow:"2190",gets:"2190",rightarrow:"2192",to:"2192",mapsto:"21A6",leftharpoonup:"21BC",leftharpoondown:"21BD",rightharpoonup:"21C0",rightharpoondown:"21C1",nearrow:"2197",searrow:"2198",nwarrow:"2196",swarrow:"2199",rightleftharpoons:"21CC",hookrightarrow:"21AA",hookleftarrow:"21A9",longleftarrow:"27F5",Longleftarrow:"27F8",longrightarrow:"27F6",Longrightarrow:"27F9",Longleftrightarrow:"27FA",longleftrightarrow:"27F7",longmapsto:"27FC",ldots:"2026",cdots:"22EF",vdots:"22EE",ddots:"22F1",dotsc:"2026",dotsb:"22EF",dotsm:"22EF",dotsi:"22EF",dotso:"2026",ldotp:["002E",{texClass:i.TEXCLASS.PUNCT}],cdotp:["22C5",{texClass:i.TEXCLASS.PUNCT}],colon:["003A",{texClass:i.TEXCLASS.PUNCT}]},mathchar7:{Gamma:"0393",Delta:"0394",Theta:"0398",Lambda:"039B",Xi:"039E",Pi:"03A0",Sigma:"03A3",Upsilon:"03A5",Phi:"03A6",Psi:"03A8",Omega:"03A9",_:"005F","#":"0023","$":"0024","%":"0025","&":"0026",And:"0026"},delimiter:{"(":"(",")":")","[":"[","]":"]","<":"27E8",">":"27E9","\\lt":"27E8","\\gt":"27E9","/":"/","|":["|",{texClass:i.TEXCLASS.ORD}],".":"","\\\\":"\\","\\lmoustache":"23B0","\\rmoustache":"23B1","\\lgroup":"27EE","\\rgroup":"27EF","\\arrowvert":"23D0","\\Arrowvert":"2016","\\bracevert":"23AA","\\Vert":["2016",{texClass:i.TEXCLASS.ORD}],"\\|":["2016",{texClass:i.TEXCLASS.ORD}],"\\vert":["|",{texClass:i.TEXCLASS.ORD}],"\\uparrow":"2191","\\downarrow":"2193","\\updownarrow":"2195","\\Uparrow":"21D1","\\Downarrow":"21D3","\\Updownarrow":"21D5","\\backslash":"\\","\\rangle":"27E9","\\langle":"27E8","\\rbrace":"}","\\lbrace":"{","\\}":"}","\\{":"{","\\rceil":"2309","\\lceil":"2308","\\rfloor":"230B","\\lfloor":"230A","\\lbrack":"[","\\rbrack":"]"},macros:{displaystyle:["SetStyle","D",true,0],textstyle:["SetStyle","T",false,0],scriptstyle:["SetStyle","S",false,1],scriptscriptstyle:["SetStyle","SS",false,2],rm:["SetFont",i.VARIANT.NORMAL],mit:["SetFont",i.VARIANT.ITALIC],oldstyle:["SetFont",i.VARIANT.OLDSTYLE],cal:["SetFont",i.VARIANT.CALIGRAPHIC],it:["SetFont","-tex-mathit"],bf:["SetFont",i.VARIANT.BOLD],bbFont:["SetFont",i.VARIANT.DOUBLESTRUCK],scr:["SetFont",i.VARIANT.SCRIPT],frak:["SetFont",i.VARIANT.FRAKTUR],sf:["SetFont",i.VARIANT.SANSSERIF],tt:["SetFont",i.VARIANT.MONOSPACE],tiny:["SetSize",0.5],Tiny:["SetSize",0.6],scriptsize:["SetSize",0.7],small:["SetSize",0.85],normalsize:["SetSize",1],large:["SetSize",1.2],Large:["SetSize",1.44],LARGE:["SetSize",1.73],huge:["SetSize",2.07],Huge:["SetSize",2.49],arcsin:["NamedFn"],arccos:["NamedFn"],arctan:["NamedFn"],arg:["NamedFn"],cos:["NamedFn"],cosh:["NamedFn"],cot:["NamedFn"],coth:["NamedFn"],csc:["NamedFn"],deg:["NamedFn"],det:"NamedOp",dim:["NamedFn"],exp:["NamedFn"],gcd:"NamedOp",hom:["NamedFn"],inf:"NamedOp",ker:["NamedFn"],lg:["NamedFn"],lim:"NamedOp",liminf:["NamedOp","lim&thinsp;inf"],limsup:["NamedOp","lim&thinsp;sup"],ln:["NamedFn"],log:["NamedFn"],max:"NamedOp",min:"NamedOp",Pr:"NamedOp",sec:["NamedFn"],sin:["NamedFn"],sinh:["NamedFn"],sup:"NamedOp",tan:["NamedFn"],tanh:["NamedFn"],limits:["Limits",1],nolimits:["Limits",0],overline:["UnderOver","00AF",null,1],underline:["UnderOver","005F"],overbrace:["UnderOver","23DE",1],underbrace:["UnderOver","23DF",1],overparen:["UnderOver","23DC"],underparen:["UnderOver","23DD"],overrightarrow:["UnderOver","2192"],underrightarrow:["UnderOver","2192"],overleftarrow:["UnderOver","2190"],underleftarrow:["UnderOver","2190"],overleftrightarrow:["UnderOver","2194"],underleftrightarrow:["UnderOver","2194"],overset:"Overset",underset:"Underset",stackrel:["Macro","\\mathrel{\\mathop{#2}\\limits^{#1}}",2],over:"Over",overwithdelims:"Over",atop:"Over",atopwithdelims:"Over",above:"Over",abovewithdelims:"Over",brace:["Over","{","}"],brack:["Over","[","]"],choose:["Over","(",")"],frac:"Frac",sqrt:"Sqrt",root:"Root",uproot:["MoveRoot","upRoot"],leftroot:["MoveRoot","leftRoot"],left:"LeftRight",right:"LeftRight",middle:"Middle",llap:"Lap",rlap:"Lap",raise:"RaiseLower",lower:"RaiseLower",moveleft:"MoveLeftRight",moveright:"MoveLeftRight",",":["Spacer",i.LENGTH.THINMATHSPACE],":":["Spacer",i.LENGTH.MEDIUMMATHSPACE],">":["Spacer",i.LENGTH.MEDIUMMATHSPACE],";":["Spacer",i.LENGTH.THICKMATHSPACE],"!":["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],enspace:["Spacer",".5em"],quad:["Spacer","1em"],qquad:["Spacer","2em"],thinspace:["Spacer",i.LENGTH.THINMATHSPACE],negthinspace:["Spacer",i.LENGTH.NEGATIVETHINMATHSPACE],hskip:"Hskip",hspace:"Hskip",kern:"Hskip",mskip:"Hskip",mspace:"Hskip",mkern:"Hskip",rule:"rule",Rule:["Rule"],Space:["Rule","blank"],big:["MakeBig",i.TEXCLASS.ORD,0.85],Big:["MakeBig",i.TEXCLASS.ORD,1.15],bigg:["MakeBig",i.TEXCLASS.ORD,1.45],Bigg:["MakeBig",i.TEXCLASS.ORD,1.75],bigl:["MakeBig",i.TEXCLASS.OPEN,0.85],Bigl:["MakeBig",i.TEXCLASS.OPEN,1.15],biggl:["MakeBig",i.TEXCLASS.OPEN,1.45],Biggl:["MakeBig",i.TEXCLASS.OPEN,1.75],bigr:["MakeBig",i.TEXCLASS.CLOSE,0.85],Bigr:["MakeBig",i.TEXCLASS.CLOSE,1.15],biggr:["MakeBig",i.TEXCLASS.CLOSE,1.45],Biggr:["MakeBig",i.TEXCLASS.CLOSE,1.75],bigm:["MakeBig",i.TEXCLASS.REL,0.85],Bigm:["MakeBig",i.TEXCLASS.REL,1.15],biggm:["MakeBig",i.TEXCLASS.REL,1.45],Biggm:["MakeBig",i.TEXCLASS.REL,1.75],mathord:["TeXAtom",i.TEXCLASS.ORD],mathop:["TeXAtom",i.TEXCLASS.OP],mathopen:["TeXAtom",i.TEXCLASS.OPEN],mathclose:["TeXAtom",i.TEXCLASS.CLOSE],mathbin:["TeXAtom",i.TEXCLASS.BIN],mathrel:["TeXAtom",i.TEXCLASS.REL],mathpunct:["TeXAtom",i.TEXCLASS.PUNCT],mathinner:["TeXAtom",i.TEXCLASS.INNER],vcenter:["TeXAtom",i.TEXCLASS.VCENTER],mathchoice:["Extension","mathchoice"],buildrel:"BuildRel",hbox:["HBox",0],text:"HBox",mbox:["HBox",0],fbox:"FBox",strut:"Strut",mathstrut:["Macro","\\vphantom{(}"],phantom:"Phantom",vphantom:["Phantom",1,0],hphantom:["Phantom",0,1],smash:"Smash",acute:["Accent","00B4"],grave:["Accent","0060"],ddot:["Accent","00A8"],tilde:["Accent","007E"],bar:["Accent","00AF"],breve:["Accent","02D8"],check:["Accent","02C7"],hat:["Accent","005E"],vec:["Accent","2192"],dot:["Accent","02D9"],widetilde:["Accent","007E",1],widehat:["Accent","005E",1],matrix:"Matrix",array:"Matrix",pmatrix:["Matrix","(",")"],cases:["Matrix","{","","left left",null,".1em",null,true],eqalign:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D"],displaylines:["Matrix",null,null,"center",null,".5em","D"],cr:"Cr","\\":"CrLaTeX",newline:["CrLaTeX",true],hline:["HLine","solid"],hdashline:["HLine","dashed"],eqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"right"],leqalignno:["Matrix",null,null,"right left",i.LENGTH.THICKMATHSPACE,".5em","D",null,"left"],hfill:"HFill",hfil:"HFill",hfilll:"HFill",bmod:["Macro",'\\mmlToken{mo}[lspace="thickmathspace" rspace="thickmathspace"]{mod}'],pmod:["Macro","\\pod{\\mmlToken{mi}{mod}\\kern 6mu #1}",1],mod:["Macro","\\mathchoice{\\kern18mu}{\\kern12mu}{\\kern12mu}{\\kern12mu}\\mmlToken{mi}{mod}\\,\\,#1",1],pod:["Macro","\\mathchoice{\\kern18mu}{\\kern8mu}{\\kern8mu}{\\kern8mu}(#1)",1],iff:["Macro","\\;\\Longleftrightarrow\\;"],skew:["Macro","{{#2{#3\\mkern#1mu}\\mkern-#1mu}{}}",3],mathcal:["Macro","{\\cal #1}",1],mathscr:["Macro","{\\scr #1}",1],mathrm:["Macro","{\\rm #1}",1],mathbf:["Macro","{\\bf #1}",1],mathbb:["Macro","{\\bbFont #1}",1],Bbb:["Macro","{\\bbFont #1}",1],mathit:["Macro","{\\it #1}",1],mathfrak:["Macro","{\\frak #1}",1],mathsf:["Macro","{\\sf #1}",1],mathtt:["Macro","{\\tt #1}",1],textrm:["Macro","\\mathord{\\rm\\text{#1}}",1],textit:["Macro","\\mathord{\\it\\text{#1}}",1],textbf:["Macro","\\mathord{\\bf\\text{#1}}",1],textsf:["Macro","\\mathord{\\sf\\text{#1}}",1],texttt:["Macro","\\mathord{\\tt\\text{#1}}",1],pmb:["Macro","\\rlap{#1}\\kern1px{#1}",1],TeX:["Macro","T\\kern-.14em\\lower.5ex{E}\\kern-.115em X"],LaTeX:["Macro","L\\kern-.325em\\raise.21em{\\scriptstyle{A}}\\kern-.17em\\TeX"]," ":["Macro","\\text{ }"],not:"Not",dots:"Dots",space:"Tilde","\u00A0":"Tilde",begin:"BeginEnd",end:"BeginEnd",newcommand:["Extension","newcommand"],renewcommand:["Extension","newcommand"],newenvironment:["Extension","newcommand"],renewenvironment:["Extension","newcommand"],def:["Extension","newcommand"],let:["Extension","newcommand"],verb:["Extension","verb"],boldsymbol:["Extension","boldsymbol"],tag:["Extension","AMSmath"],notag:["Extension","AMSmath"],label:["Extension","AMSmath"],ref:["Extension","AMSmath"],eqref:["Extension","AMSmath"],nonumber:["Macro","\\notag"],unicode:["Extension","unicode"],color:"Color",href:["Extension","HTML"],"class":["Extension","HTML"],style:["Extension","HTML"],cssId:["Extension","HTML"],bbox:["Extension","bbox"],mmlToken:"MmlToken",require:"Require"},environment:{array:["AlignedArray"],matrix:["Array",null,null,null,"c"],pmatrix:["Array",null,"(",")","c"],bmatrix:["Array",null,"[","]","c"],Bmatrix:["Array",null,"\\{","\\}","c"],vmatrix:["Array",null,"\\vert","\\vert","c"],Vmatrix:["Array",null,"\\Vert","\\Vert","c"],cases:["Array",null,"\\{",".","ll",null,".2em","T"],equation:[null,"Equation"],"equation*":[null,"Equation"],eqnarray:["ExtensionEnv",null,"AMSmath"],"eqnarray*":["ExtensionEnv",null,"AMSmath"],align:["ExtensionEnv",null,"AMSmath"],"align*":["ExtensionEnv",null,"AMSmath"],aligned:["ExtensionEnv",null,"AMSmath"],multline:["ExtensionEnv",null,"AMSmath"],"multline*":["ExtensionEnv",null,"AMSmath"],split:["ExtensionEnv",null,"AMSmath"],gather:["ExtensionEnv",null,"AMSmath"],"gather*":["ExtensionEnv",null,"AMSmath"],gathered:["ExtensionEnv",null,"AMSmath"],alignat:["ExtensionEnv",null,"AMSmath"],"alignat*":["ExtensionEnv",null,"AMSmath"],alignedat:["ExtensionEnv",null,"AMSmath"]},p_height:1.2/0.85});if(this.config.Macros){var m=this.config.Macros;for(var n in m){if(m.hasOwnProperty(n)){if(typeof(m[n])==="string"){g.macros[n]=["Macro",m[n]]}else{g.macros[n]=["Macro"].concat(m[n])}g.macros[n].isUser=true}}}};var a=MathJax.Object.Subclass({Init:function(n,o){this.string=n;this.i=0;this.macroCount=0;var m;if(o){m={};for(var p in o){if(o.hasOwnProperty(p)){m[p]=o[p]}}}this.stack=d.Stack(m,!!o);this.Parse();this.Push(b.stop())},Parse:function(){var o,m;while(this.i<this.string.length){o=this.string.charAt(this.i++);m=o.charCodeAt(0);if(m>=55296&&m<56320){o+=this.string.charAt(this.i++)}if(g.special.hasOwnProperty(o)){this[g.special[o]](o)}else{if(g.letter.test(o)){this.Variable(o)}else{if(g.digit.test(o)){this.Number(o)}else{this.Other(o)}}}}},Push:function(){this.stack.Push.apply(this.stack,arguments)},mml:function(){if(this.stack.Top().type!=="mml"){return null}return this.stack.Top().data[0]},mmlToken:function(m){return m},ControlSequence:function(p){var m=this.GetCS(),o=this.csFindMacro(m);if(o){if(!f(o)){o=[o]}var n=o[0];if(!(n instanceof Function)){n=this[n]}n.apply(this,[p+m].concat(o.slice(1)))}else{if(g.mathchar0mi.hasOwnProperty(m)){this.csMathchar0mi(m,g.mathchar0mi[m])}else{if(g.mathchar0mo.hasOwnProperty(m)){this.csMathchar0mo(m,g.mathchar0mo[m])}else{if(g.mathchar7.hasOwnProperty(m)){this.csMathchar7(m,g.mathchar7[m])}else{if(g.delimiter.hasOwnProperty("\\"+m)){this.csDelimiter(m,g.delimiter["\\"+m])}else{this.csUndefined(p+m)}}}}}},csFindMacro:function(m){return(g.macros.hasOwnProperty(m)?g.macros[m]:null)},csMathchar0mi:function(m,o){var n={mathvariant:i.VARIANT.ITALIC};if(f(o)){n=o[1];o=o[0]}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csMathchar0mo:function(m,o){var n={stretchy:false};if(f(o)){n=o[1];n.stretchy=false;o=o[0]}this.Push(this.mmlToken(i.mo(i.entity("#x"+o)).With(n)))},csMathchar7:function(m,o){var n={mathvariant:i.VARIANT.NORMAL};if(f(o)){n=o[1];o=o[0]}if(this.stack.env.font){n.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.entity("#x"+o)).With(n)))},csDelimiter:function(m,o){var n={};if(f(o)){n=o[1];o=o[0]}if(o.length===4){o=i.entity("#x"+o)}else{o=i.chars(o)}this.Push(this.mmlToken(i.mo(o).With({fence:false,stretchy:false}).With(n)))},csUndefined:function(m){d.Error(["UndefinedControlSequence","Undefined control sequence %1",m])},Variable:function(n){var m={};if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(i.mi(i.chars(n)).With(m)))},Number:function(p){var m,o=this.string.slice(this.i-1).match(g.number);if(o){m=i.mn(o[0].replace(/[{}]/g,""));this.i+=o[0].length-1}else{m=i.mo(i.chars(p))}if(this.stack.env.font){m.mathvariant=this.stack.env.font}this.Push(this.mmlToken(m))},Open:function(m){this.Push(b.open())},Close:function(m){this.Push(b.close())},Tilde:function(m){this.Push(i.mtext(i.chars(h)))},Space:function(m){},Superscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sup;if((o.type==="msubsup"&&o.data[o.sup])||(o.type==="munderover"&&o.data[o.over]&&!o.subsupOK)){d.Error(["DoubleExponent","Double exponent: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.over]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.over}else{o=i.msubsup(o,null,null);m=o.sup}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},Subscript:function(r){if(this.GetNext().match(/\d/)){this.string=this.string.substr(0,this.i+1)+" "+this.string.substr(this.i+1)}var q,o,p=this.stack.Top();if(p.type==="prime"){o=p.data[0];q=p.data[1];this.stack.Pop()}else{o=this.stack.Prev();if(!o){o=i.mi("")}}if(o.isEmbellishedWrapper){o=o.data[0].data[0]}var n=o.movesupsub,m=o.sub;if((o.type==="msubsup"&&o.data[o.sub])||(o.type==="munderover"&&o.data[o.under]&&!o.subsupOK)){d.Error(["DoubleSubscripts","Double subscripts: use braces to clarify"])}if(o.type!=="msubsup"){if(n){if(o.type!=="munderover"||o.data[o.under]){if(o.movablelimits&&o.isa(i.mi)){o=this.mi2mo(o)}o=i.munderover(o,null,null).With({movesupsub:true})}m=o.under}else{o=i.msubsup(o,null,null);m=o.sub}}this.Push(b.subsup(o).With({position:m,primes:q,movesupsub:n}))},PRIME:"\u2032",SMARTQUOTE:"\u2019",Prime:function(o){var n=this.stack.Prev();if(!n){n=i.mi()}if(n.type==="msubsup"&&n.data[n.sup]){d.Error(["DoubleExponentPrime","Prime causes double exponent: use braces to clarify"])}var m="";this.i--;do{m+=this.PRIME;this.i++,o=this.GetNext()}while(o==="'"||o===this.SMARTQUOTE);m=["","\u2032","\u2033","\u2034","\u2057"][m.length]||m;this.Push(b.prime(n,this.mmlToken(i.mo(m))))},mi2mo:function(m){var n=i.mo();n.Append.apply(n,m.data);var o;for(o in n.defaults){if(n.defaults.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}for(o in i.copyAttributes){if(i.copyAttributes.hasOwnProperty(o)&&m[o]!=null){n[o]=m[o]}}n.lspace=n.rspace="0";n.useMMLspacing&=~(n.SPACE_ATTR.lspace|n.SPACE_ATTR.rspace);return n},Comment:function(m){while(this.i<this.string.length&&this.string.charAt(this.i)!="\n"){this.i++}},Hash:function(m){d.Error(["CantUseHash1","You can't use 'macro parameter character #' in math mode"])},Other:function(o){var n,m;if(this.stack.env.font){n={mathvariant:this.stack.env.font}}if(g.remap.hasOwnProperty(o)){o=g.remap[o];if(f(o)){n=o[1];o=o[0]}m=i.mo(i.entity("#x"+o)).With(n)}else{m=i.mo(o).With(n)}if(m.autoDefault("stretchy",true)){m.stretchy=false}if(m.autoDefault("texClass",true)==""){m=i.TeXAtom(m)}this.Push(this.mmlToken(m))},SetFont:function(n,m){this.stack.env.font=m},SetStyle:function(n,m,o,p){this.stack.env.style=m;this.stack.env.level=p;this.Push(b.style().With({styles:{displaystyle:o,scriptlevel:p}}))},SetSize:function(m,n){this.stack.env.size=n;this.Push(b.style().With({styles:{mathsize:n+"em"}}))},Color:function(o){var n=this.GetArgument(o);var m=this.stack.env.color;this.stack.env.color=n;var p=this.ParseArg(o);if(m){this.stack.env.color=m}else{delete this.stack.env.color}this.Push(i.mstyle(p).With({mathcolor:n}))},Spacer:function(m,n){this.Push(i.mspace().With({width:n,mathsize:i.SIZE.NORMAL,scriptlevel:0}))},LeftRight:function(m){this.Push(b[m.substr(1)]().With({delim:this.GetDelimiter(m)}))},Middle:function(m){var n=this.GetDelimiter(m);this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.CLOSE}));if(this.stack.Top().type!=="left"){d.Error(["MisplacedMiddle","%1 must be within \\left and \\right",m])}this.Push(i.mo(n).With({stretchy:true}));this.Push(i.TeXAtom().With({texClass:i.TEXCLASS.OPEN}))},NamedFn:function(n,o){if(!o){o=n.substr(1)}var m=i.mi(o).With({texClass:i.TEXCLASS.OP});this.Push(b.fn(this.mmlToken(m)))},NamedOp:function(n,o){if(!o){o=n.substr(1)}o=o.replace(/&thinsp;/,"\u2006");var m=i.mo(o).With({movablelimits:true,movesupsub:true,form:i.FORM.PREFIX,texClass:i.TEXCLASS.OP});this.Push(this.mmlToken(m))},Limits:function(n,m){var p=this.stack.Prev("nopop");if(!p||(p.Get("texClass")!==i.TEXCLASS.OP&&p.movesupsub==null)){d.Error(["MisplacedLimits","%1 is allowed only on operators",n])}var o=this.stack.Top();if(p.type==="munderover"&&!m){p=o.data[o.data.length-1]=i.msubsup.apply(i.subsup,p.data)}else{if(p.type==="msubsup"&&m){p=o.data[o.data.length-1]=i.munderover.apply(i.underover,p.data)}}p.movesupsub=(m?true:false);p.Core().movablelimits=false;if(p.movablelimits){p.movablelimits=false}},Over:function(o,n,p){var m=b.over().With({name:o});if(n||p){m.open=n;m.close=p}else{if(o.match(/withdelims$/)){m.open=this.GetDelimiter(o);m.close=this.GetDelimiter(o)}}if(o.match(/^\\above/)){m.thickness=this.GetDimen(o)}else{if(o.match(/^\\atop/)||n||p){m.thickness=0}}this.Push(m)},Frac:function(n){var m=this.ParseArg(n);var o=this.ParseArg(n);this.Push(i.mfrac(m,o))},Sqrt:function(p){var q=this.GetBrackets(p),m=this.GetArgument(p);if(m==="\\frac"){m+="{"+this.GetArgument(m)+"}{"+this.GetArgument(m)+"}"}var o=d.Parse(m,this.stack.env).mml();if(!q){o=i.msqrt.apply(i,o.array())}else{o=i.mroot(o,this.parseRoot(q))}this.Push(o)},Root:function(o){var p=this.GetUpTo(o,"\\of");var m=this.ParseArg(o);this.Push(i.mroot(m,this.parseRoot(p)))},parseRoot:function(r){var o=this.stack.env,m=o.inRoot;o.inRoot=true;var q=d.Parse(r,o);r=q.mml();var p=q.stack.global;if(p.leftRoot||p.upRoot){r=i.mpadded(r);if(p.leftRoot){r.width=p.leftRoot}if(p.upRoot){r.voffset=p.upRoot;r.height=p.upRoot}}o.inRoot=m;return r},MoveRoot:function(m,p){if(!this.stack.env.inRoot){d.Error(["MisplacedMoveRoot","%1 can appear only within a root",m])}if(this.stack.global[p]){d.Error(["MultipleMoveRoot","Multiple use of %1",m])}var o=this.GetArgument(m);if(!o.match(/-?[0-9]+/)){d.Error(["IntegerArg","The argument to %1 must be an integer",m])}o=(o/15)+"em";if(o.substr(0,1)!=="-"){o="+"+o}this.stack.global[p]=o},Accent:function(o,m,s){var r=this.ParseArg(o);var q={accent:true};if(this.stack.env.font){q.mathvariant=this.stack.env.font}var n=this.mmlToken(i.mo(i.entity("#x"+m)).With(q));n.stretchy=(s?true:false);var p=(r.isEmbellished()?r.CoreMO():r);if(p.isa(i.mo)){p.movablelimits=false}this.Push(i.TeXAtom(i.munderover(r,null,n).With({accent:true})))},UnderOver:function(o,s,m,q){var r={o:"over",u:"under"}[o.charAt(1)];var p=this.ParseArg(o);if(p.Get("movablelimits")){p.movablelimits=false}if(p.isa(i.munderover)&&p.isEmbellished()){p.Core().With({lspace:0,rspace:0});p=i.mrow(i.mo().With({rspace:0}),p)}var n=i.munderover(p,null,null);n.SetData(n[r],this.mmlToken(i.mo(i.entity("#x"+s)).With({stretchy:true,accent:!q})));if(m){n=i.TeXAtom(n).With({texClass:i.TEXCLASS.OP,movesupsub:true})}this.Push(n.With({subsupOK:true}))},Overset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.mover(n,o))},Underset:function(m){var o=this.ParseArg(m),n=this.ParseArg(m);n.movablelimits=false;this.Push(i.munder(n,o))},TeXAtom:function(p,r){var q={texClass:r},o;if(r==i.TEXCLASS.OP){q.movesupsub=q.movablelimits=true;var m=this.GetArgument(p);var n=m.match(/^\s*\\rm\s+([a-zA-Z0-9 ]+)$/);if(n){q.mathvariant=i.VARIANT.NORMAL;o=b.fn(this.mmlToken(i.mi(n[1]).With(q)))}else{o=b.fn(i.TeXAtom(d.Parse(m,this.stack.env).mml()).With(q))}}else{o=i.TeXAtom(this.ParseArg(p)).With(q)}this.Push(o)},MmlToken:function(o){var p=this.GetArgument(o),m=this.GetBrackets(o,"").replace(/^\s+/,""),s=this.GetArgument(o),r={attrNames:[]},n;if(!i[p]||!i[p].prototype.isToken){d.Error(["NotMathMLToken","%1 is not a token element",p])}while(m!==""){n=m.match(/^([a-z]+)\s*=\s*('[^']*'|"[^"]*"|[^ ,]*)\s*,?\s*/i);if(!n){d.Error(["InvalidMathMLAttr","Invalid MathML attribute: %1",m])}if(i[p].prototype.defaults[n[1]]==null&&!this.MmlTokenAllow[n[1]]){d.Error(["UnknownAttrForElement","%1 is not a recognized attribute for %2",n[1],p])}var q=this.MmlFilterAttribute(n[1],n[2].replace(/^(['"])(.*)\1$/,"$2"));if(q){if(q.toLowerCase()==="true"){q=true}else{if(q.toLowerCase()==="false"){q=false}}r[n[1]]=q;r.attrNames.push(n[1])}m=m.substr(n[0].length)}this.Push(this.mmlToken(i[p](s).With(r)))},MmlFilterAttribute:function(m,n){return n},MmlTokenAllow:{fontfamily:1,fontsize:1,fontweight:1,fontstyle:1,color:1,background:1,id:1,"class":1,href:1,style:1},Strut:function(m){this.Push(i.mpadded(i.mrow()).With({height:"8.6pt",depth:"3pt",width:0}))},Phantom:function(o,m,p){var n=this.ParseArg(o);if(m||p){n=i.mpadded(n);if(p){n.height=n.depth=0}if(m){n.width=0}}this.Push(i.TeXAtom(i.mphantom(n)))},Smash:function(o){var n=this.trimSpaces(this.GetBrackets(o,""));var m=i.mpadded(this.ParseArg(o));switch(n){case"b":m.depth=0;break;case"t":m.height=0;break;default:m.height=m.depth=0}this.Push(i.TeXAtom(m))},Lap:function(n){var m=i.mpadded(this.ParseArg(n)).With({width:0});if(n==="\\llap"){m.lspace="-1width"}this.Push(i.TeXAtom(m))},RaiseLower:function(m){var n=this.GetDimen(m);var o=b.position().With({name:m,move:"vertical"});if(n.charAt(0)==="-"){n=n.slice(1);m={raise:"\\lower",lower:"\\raise"}[m.substr(1)]}if(m==="\\lower"){o.dh="-"+n;o.dd="+"+n}else{o.dh="+"+n;o.dd="-"+n}this.Push(o)},MoveLeftRight:function(m){var p=this.GetDimen(m);var o=(p.charAt(0)==="-"?p.slice(1):"-"+p);if(m==="\\moveleft"){var n=p;p=o;o=n}this.Push(b.position().With({name:m,move:"horizontal",left:i.mspace().With({width:p,mathsize:i.SIZE.NORMAL}),right:i.mspace().With({width:o,mathsize:i.SIZE.NORMAL})}))},Hskip:function(m){this.Push(i.mspace().With({width:this.GetDimen(m),mathsize:i.SIZE.NORMAL}))},Rule:function(n,p){var m=this.GetDimen(n),o=this.GetDimen(n),r=this.GetDimen(n);var q={width:m,height:o,depth:r};if(p!=="blank"){q.mathbackground=(this.stack.env.color||"black")}this.Push(i.mspace().With(q))},rule:function(p){var n=this.GetBrackets(p),m=this.GetDimen(p),q=this.GetDimen(p);var o=i.mspace().With({width:m,height:q,mathbackground:(this.stack.env.color||"black")});if(n){o=i.mpadded(o).With({voffset:n});if(n.match(/^\-/)){o.height=n;o.depth="+"+n.substr(1)}else{o.height="+"+n}}this.Push(o)},MakeBig:function(m,p,n){n*=g.p_height;n=String(n).replace(/(\.\d\d\d).+/,"$1")+"em";var o=this.GetDelimiter(m,true);this.Push(i.mstyle(i.TeXAtom(i.mo(o).With({minsize:n,maxsize:n,fence:true,stretchy:true,symmetric:true})).With({texClass:p})).With({scriptlevel:0}))},BuildRel:function(m){var n=this.ParseUpTo(m,"\\over");var o=this.ParseArg(m);this.Push(i.TeXAtom(i.munderover(o,null,n)).With({texClass:i.TEXCLASS.REL}))},HBox:function(m,n){this.Push.apply(this,this.InternalMath(this.GetArgument(m),n))},FBox:function(m){this.Push(i.menclose.apply(i,this.InternalMath(this.GetArgument(m))).With({notation:"box"}))},Not:function(m){this.Push(b.not())},Dots:function(m){this.Push(b.dots().With({ldots:this.mmlToken(i.mo(i.entity("#x2026")).With({stretchy:false})),cdots:this.mmlToken(i.mo(i.entity("#x22EF")).With({stretchy:false}))}))},Require:function(m){var n=this.GetArgument(m).replace(/.*\//,"").replace(/[^a-z0-9_.-]/ig,"");this.Extension(null,n)},Extension:function(m,n,o){if(m&&!typeof(m)==="string"){m=m.name}n=d.extensionDir+"/"+n;if(!n.match(/\.js$/)){n+=".js"}if(!j.loaded[j.fileURL(n)]){if(m!=null){delete g[o||"macros"][m.replace(/^\\/,"")]}c.RestartAfter(j.Require(n))}},Macro:function(o,r,q,s){if(q){var n=[];if(s!=null){var m=this.GetBrackets(o);n.push(m==null?s:m)}for(var p=n.length;p<q;p++){n.push(this.GetArgument(o))}r=this.SubstituteArgs(n,r)}this.string=this.AddArgs(r,this.string.slice(this.i));this.i=0;if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub1","MathJax maximum macro substitution count exceeded; is there a recursive macro call?"])}},Matrix:function(n,p,v,r,u,o,m,w,t){var s=this.GetNext();if(s===""){d.Error(["MissingArgFor","Missing argument for %1",n])}if(s==="{"){this.i++}else{this.string=s+"}"+this.string.slice(this.i+1);this.i=0}var q=b.array().With({requireClose:true,arraydef:{rowspacing:(o||"4pt"),columnspacing:(u||"1em")}});if(w){q.isCases=true}if(t){q.isNumbered=true;q.arraydef.side=t}if(p||v){q.open=p;q.close=v}if(m==="D"){q.arraydef.displaystyle=true}if(r!=null){q.arraydef.columnalign=r}this.Push(q)},Entry:function(p){this.Push(b.cell().With({isEntry:true,name:p}));if(this.stack.Top().isCases){var o=this.string;var t=0,s=-1,q=this.i,n=o.length;while(q<n){var u=o.charAt(q);if(u==="{"){t++;q++}else{if(u==="}"){if(t===0){n=0}else{t--;if(t===0&&s<0){s=q-this.i}q++}}else{if(u==="&"&&t===0){d.Error(["ExtraAlignTab","Extra alignment tab in \\cases text"])}else{if(u==="\\"){if(o.substr(q).match(/^((\\cr)[^a-zA-Z]|\\\\)/)){n=0}else{q+=2}}else{q++}}}}}var r=o.substr(this.i,q-this.i);if(!r.match(/^\s*\\text[^a-zA-Z]/)||s!==r.replace(/\s+$/,"").length-1){this.Push.apply(this,this.InternalMath(r,0));this.i=q}}},Cr:function(m){this.Push(b.cell().With({isCR:true,name:m}))},CrLaTeX:function(o,m){var r;if(!m&&this.string.charAt(this.i)==="["){r=this.GetBrackets(o,"").replace(/ /g,"").replace(/,/,".");if(r&&!this.matchDimen(r)){d.Error(["BracketMustBeDimension","Bracket argument to %1 must be a dimension",o])}}this.Push(b.cell().With({isCR:true,name:o,linebreak:true}));var q=this.stack.Top();if(q.isa(b.array)){if(r&&q.arraydef.rowspacing){var p=q.arraydef.rowspacing.split(/ /);if(!q.rowspacing){q.rowspacing=this.dimen2em(p[0])}while(p.length<q.table.length){p.push(this.Em(q.rowspacing))}p[q.table.length-1]=this.Em(Math.max(0,q.rowspacing+this.dimen2em(r)));q.arraydef.rowspacing=p.join(" ")}}else{if(r){this.Push(i.mspace().With({depth:r}))}this.Push(i.mspace().With({linebreak:i.LINEBREAK.NEWLINE}))}},emPerInch:7.2,pxPerInch:72,matchDimen:function(m){return m.match(/^(-?(?:\.\d+|\d+(?:\.\d*)?))(px|pt|em|ex|mu|pc|in|mm|cm)$/)},dimen2em:function(q){var o=this.matchDimen(q);var n=parseFloat(o[1]||"1"),p=o[2];if(p==="em"){return n}if(p==="ex"){return n*0.43}if(p==="pt"){return n/10}if(p==="pc"){return n*1.2}if(p==="px"){return n*this.emPerInch/this.pxPerInch}if(p==="in"){return n*this.emPerInch}if(p==="cm"){return n*this.emPerInch/2.54}if(p==="mm"){return n*this.emPerInch/25.4}if(p==="mu"){return n/18}return 0},Em:function(n){if(Math.abs(n)<0.0006){return"0em"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},HLine:function(n,o){if(o==null){o="solid"}var p=this.stack.Top();if(!p.isa(b.array)||p.data.length){d.Error(["Misplaced","Misplaced %1",n])}if(p.table.length==0){p.frame.push("top")}else{var m=(p.arraydef.rowlines?p.arraydef.rowlines.split(/ /):[]);while(m.length<p.table.length){m.push("none")}m[p.table.length-1]=o;p.arraydef.rowlines=m.join(" ")}},HFill:function(m){var n=this.stack.Top();if(n.isa(b.array)){n.hfill.push(n.data.length)}else{d.Error(["UnsupportedHFill","Unsupported use of %1",m])}},BeginEnd:function(o){var p=this.GetArgument(o),r=false;if(p.match(/^\\end\\/)){r=true;p=p.substr(5)}if(p.match(/\\/i)){d.Error(["InvalidEnv","Invalid environment name '%1'",p])}var q=this.envFindName(p);if(!q){d.Error(["UnknownEnv","Unknown environment '%1'",p])}if(!f(q)){q=[q]}var m=(f(q[1])?q[1][0]:q[1]);var n=b.begin().With({name:p,end:m,parse:this});if(o==="\\end"){if(!r&&f(q[1])&&this[q[1][1]]){n=this[q[1][1]].apply(this,[n].concat(q.slice(2)))}else{n=b.end().With({name:p})}}else{if(++this.macroCount>d.config.MAXMACROS){d.Error(["MaxMacroSub2","MathJax maximum substitution count exceeded; is there a recursive latex environment?"])}if(q[0]&&this[q[0]]){n=this[q[0]].apply(this,[n].concat(q.slice(2)))}}this.Push(n)},envFindName:function(m){return(g.environment.hasOwnProperty(m)?g.environment[m]:null)},Equation:function(m,n){return n},ExtensionEnv:function(n,m){this.Extension(n.name,m,"environment")},Array:function(n,p,u,s,t,o,m,q){if(!s){s=this.GetArgument("\\begin{"+n.name+"}")}var v=("c"+s).replace(/[^clr|:]/g,"").replace(/[^|:]([|:])+/g,"$1");s=s.replace(/[^clr]/g,"").split("").join(" ");s=s.replace(/l/g,"left").replace(/r/g,"right").replace(/c/g,"center");var r=b.array().With({arraydef:{columnalign:s,columnspacing:(t||"1em"),rowspacing:(o||"4pt")}});if(v.match(/[|:]/)){if(v.charAt(0).match(/[|:]/)){r.frame.push("left");r.frame.dashed=v.charAt(0)===":"}if(v.charAt(v.length-1).match(/[|:]/)){r.frame.push("right")}v=v.substr(1,v.length-2);r.arraydef.columnlines=v.split("").join(" ").replace(/[^|: ]/g,"none").replace(/\|/g,"solid").replace(/:/g,"dashed")}if(p){r.open=this.convertDelimiter(p)}if(u){r.close=this.convertDelimiter(u)}if(m==="D"){r.arraydef.displaystyle=true}else{if(m){r.arraydef.displaystyle=false}}if(m==="S"){r.arraydef.scriptlevel=1}if(q){r.arraydef.useHeight=false}this.Push(n);return r},AlignedArray:function(m){var n=this.GetBrackets("\\begin{"+m.name+"}");return this.setArrayAlign(this.Array.apply(this,arguments),n)},setArrayAlign:function(n,m){m=this.trimSpaces(m||"");if(m==="t"){n.arraydef.align="baseline 1"}else{if(m==="b"){n.arraydef.align="baseline -1"}else{if(m==="c"){n.arraydef.align="center"}else{if(m){n.arraydef.align=m}}}}return n},convertDelimiter:function(m){if(m){m=(g.delimiter.hasOwnProperty(m)?g.delimiter[m]:null)}if(m==null){return null}if(f(m)){m=m[0]}if(m.length===4){m=String.fromCharCode(parseInt(m,16))}return m},trimSpaces:function(n){if(typeof(n)!="string"){return n}var m=n.replace(/^\s+|\s+$/g,"");if(m.match(/\\$/)&&n.match(/ $/)){m+=" "}return m},nextIsSpace:function(){return this.string.charAt(this.i).match(/\s/)},GetNext:function(){while(this.nextIsSpace()){this.i++}return this.string.charAt(this.i)},GetCS:function(){var m=this.string.slice(this.i).match(/^([a-z]+|.) ?/i);if(m){this.i+=m[1].length;return m[1]}else{this.i++;return" "}},GetArgument:function(n,o){switch(this.GetNext()){case"":if(!o){d.Error(["MissingArgFor","Missing argument for %1",n])}return null;case"}":if(!o){d.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"])}return null;case"\\":this.i++;return"\\"+this.GetCS();case"{":var m=++this.i,p=1;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"\\":this.i++;break;case"{":p++;break;case"}":if(--p==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBrace","Missing close brace"]);break}return this.string.charAt(this.i++)},GetBrackets:function(n,p){if(this.GetNext()!="["){return p}var m=++this.i,o=0;while(this.i<this.string.length){switch(this.string.charAt(this.i++)){case"{":o++;break;case"\\":this.i++;break;case"}":if(o--<=0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1","']'"])}break;case"]":if(o==0){return this.string.slice(m,this.i-1)}break}}d.Error(["MissingCloseBracket","Couldn't find closing ']' for argument to %1",n])},GetDelimiter:function(m,n){while(this.nextIsSpace()){this.i++}var o=this.string.charAt(this.i);this.i++;if(this.i<=this.string.length){if(o=="\\"){o+=this.GetCS(m)}else{if(o==="{"&&n){this.i--;o=this.GetArgument(m).replace(/^\s+/,"").replace(/\s+$/,"")}}if(g.delimiter.hasOwnProperty(o)){return this.convertDelimiter(o)}}d.Error(["MissingOrUnrecognizedDelim","Missing or unrecognized delimiter for %1",m])},GetDimen:function(n){var o;if(this.nextIsSpace()){this.i++}if(this.string.charAt(this.i)=="{"){o=this.GetArgument(n);if(o.match(/^\s*([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)\s*$/)){return o.replace(/ /g,"").replace(/,/,".")}}else{o=this.string.slice(this.i);var m=o.match(/^\s*(([-+]?([.,]\d+|\d+([.,]\d*)?))\s*(pt|em|ex|mu|px|mm|cm|in|pc)) ?/);if(m){this.i+=m[0].length;return m[1].replace(/ /g,"").replace(/,/,".")}}d.Error(["MissingDimOrUnits","Missing dimension or its units for %1",n])},GetUpTo:function(o,p){while(this.nextIsSpace()){this.i++}var n=this.i,m,r,q=0;while(this.i<this.string.length){m=this.i;r=this.string.charAt(this.i++);switch(r){case"\\":r+=this.GetCS();break;case"{":q++;break;case"}":if(q==0){d.Error(["ExtraCloseLooking","Extra close brace while looking for %1",p])}q--;break}if(q==0&&r==p){return this.string.slice(n,m)}}d.Error(["TokenNotFoundForCommand","Couldn't find %1 for %2",p,o])},ParseArg:function(m){return d.Parse(this.GetArgument(m),this.stack.env).mml()},ParseUpTo:function(m,n){return d.Parse(this.GetUpTo(m,n),this.stack.env).mml()},InternalMath:function(v,m){var o=(this.stack.env.font?{mathvariant:this.stack.env.font}:{});var n=[],r=0,q=0,u,s="",p=0;if(v.match(/\\?[${}\\]|\\\(|\\(eq)?ref\s*\{/)){while(r<v.length){u=v.charAt(r++);if(u==="$"){if(s==="$"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-1),{}).mml()));s="";q=r}else{if(s===""){if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="$";q=r}}}else{if(u==="{"&&s!==""){p++}else{if(u==="}"){if(s==="}"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r),{}).mml().With(o)));s="";q=r}else{if(s!==""){if(p){p--}}}}else{if(u==="\\"){if(s===""&&v.substr(r).match(/^(eq)?ref\s*\{/)){var t=RegExp["$&"].length;if(q<r-1){n.push(this.InternalText(v.slice(q,r-1),o))}s="}";q=r-1;r+=t}else{u=v.charAt(r++);if(u==="("&&s===""){if(q<r-2){n.push(this.InternalText(v.slice(q,r-2),o))}s=")";q=r}else{if(u===")"&&s===")"&&p===0){n.push(i.TeXAtom(d.Parse(v.slice(q,r-2),{}).mml()));s="";q=r}else{if(u.match(/[${}\\]/)&&s===""){r--;v=v.substr(0,r-1)+v.substr(r)}}}}}}}}}if(s!==""){d.Error(["MathNotTerminated","Math not terminated in text box"])}}if(q<v.length){n.push(this.InternalText(v.slice(q),o))}if(m!=null){n=[i.mstyle.apply(i,n).With({displaystyle:false,scriptlevel:m})]}else{if(n.length>1){n=[i.mrow.apply(i,n)]}}return n},InternalText:function(n,m){n=n.replace(/^\s+/,h).replace(/\s+$/,h);return i.mtext(i.chars(n)).With(m)},setDef:function(m,n){n.isUser=true;g.macros[m]=n},setEnv:function(m,n){n.isUser=true;g.environment[m]=n},SubstituteArgs:function(n,m){var q="";var p="";var r;var o=0;while(o<m.length){r=m.charAt(o++);if(r==="\\"){q+=r+m.charAt(o++)}else{if(r==="#"){r=m.charAt(o++);if(r==="#"){q+=r}else{if(!r.match(/[1-9]/)||r>n.length){d.Error(["IllegalMacroParam","Illegal macro parameter reference"])}p=this.AddArgs(this.AddArgs(p,q),n[r-1]);q=""}}else{q+=r}}}return this.AddArgs(p,q)},AddArgs:function(n,m){if(m.match(/^[a-z]/i)&&n.match(/(^|[^\\])(\\\\)*\\[a-z]+$/i)){n+=" "}if(n.length+m.length>d.config.MAXBUFFER){d.Error(["MaxBufferSize","MathJax internal buffer size exceeded; is there a recursive macro call?"])}return n+m}});d.Augment({Stack:e,Parse:a,Definitions:g,Startup:l,config:{MAXMACROS:10000,MAXBUFFER:5*1024},sourceMenuTitle:["TeXCommands","TeX Commands"],annotationEncoding:"application/x-tex",prefilterHooks:MathJax.Callback.Hooks(true),postfilterHooks:MathJax.Callback.Hooks(true),Config:function(){this.SUPER(arguments).Config.apply(this,arguments);if(this.config.equationNumbers.autoNumber!=="none"){if(!this.config.extensions){this.config.extensions=[]}this.config.extensions.push("AMSmath.js")}},Translate:function(m){var n,o=false,q=MathJax.HTML.getScript(m);var s=(m.type.replace(/\n/g," ").match(/(;|\s|\n)mode\s*=\s*display(;|\s|\n|$)/)!=null);var r={math:q,display:s,script:m};var t=this.prefilterHooks.Execute(r);if(t){return t}q=r.math;try{n=d.Parse(q).mml()}catch(p){if(!p.texError){throw p}n=this.formatError(p,q,s,m);o=true}if(n.isa(i.mtable)&&n.displaystyle==="inherit"){n.displaystyle=s}if(n.inferred){n=i.apply(MathJax.ElementJax,n.data)}else{n=i(n)}if(s){n.root.display="block"}if(o){n.texError=true}r.math=n;return this.postfilterHooks.Execute(r)||r.math},prefilterMath:function(n,o,m){return n},postfilterMath:function(n,o,m){this.combineRelations(n.root);return n},formatError:function(p,o,q,m){var n=p.message.replace(/\n.*/,"");c.signal.Post(["TeX Jax - parse error",n,o,q,m]);return i.Error(n)},Error:function(m){if(f(m)){m=k.apply(k,m)}throw c.Insert(Error(m),{texError:true})},Macro:function(m,n,o){g.macros[m]=["Macro"].concat([].slice.call(arguments,1));g.macros[m].isUser=true},fenced:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.INNER});m.Append(i.mo(o).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.OPEN}));if(n.type==="mrow"&&n.inferred){m.Append.apply(m,n.data)}else{m.Append(n)}m.Append(i.mo(p).With({fence:true,stretchy:true,symmetric:true,texClass:i.TEXCLASS.CLOSE}));return m},fixedFence:function(o,n,p){var m=i.mrow().With({open:o,close:p,texClass:i.TEXCLASS.ORD});if(o){m.Append(this.mathPalette(o,"l"))}if(n.type==="mrow"){m.Append.apply(m,n.data)}else{m.Append(n)}if(p){m.Append(this.mathPalette(p,"r"))}return m},mathPalette:function(p,n){if(p==="{"||p==="}"){p="\\"+p}var o="{\\bigg"+n+" "+p+"}",m="{\\big"+n+" "+p+"}";return d.Parse("\\mathchoice"+o+m+m+m,{}).mml()},combineRelations:function(q){var r,n,p,o;for(r=0,n=q.data.length;r<n;r++){if(q.data[r]){if(q.isa(i.mrow)){while(r+1<n&&(p=q.data[r])&&(o=q.data[r+1])&&p.isa(i.mo)&&o.isa(i.mo)&&p.Get("texClass")===i.TEXCLASS.REL&&o.Get("texClass")===i.TEXCLASS.REL){if(p.variantForm==o.variantForm&&p.Get("mathvariant")==o.Get("mathvariant")&&p.style==o.style&&p["class"]==o["class"]&&!p.id&&!o.id){p.Append.apply(p,o.data);q.data.splice(r+1,1);n--}else{p.rspace=o.lspace="0pt";r++}}}if(!q.data[r].isToken){this.combineRelations(q.data[r])}}}}});d.prefilterHooks.Add(function(m){m.math=d.prefilterMath(m.math,m.display,m.script)});d.postfilterHooks.Add(function(m){m.math=d.postfilterMath(m.math,m.display,m.script)});d.loadComplete("jax.js")})(MathJax.InputJax.TeX,MathJax.Hub,MathJax.Ajax);
diff --git a/jax/output/CommonHTML/autoload/annotation-xml.js b/jax/output/CommonHTML/autoload/annotation-xml.js
index 531ac277a7..b9313f4912 100644
--- a/jax/output/CommonHTML/autoload/annotation-xml.js
+++ b/jax/output/CommonHTML/autoload/annotation-xml.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/autoload/annotation-xml.js
+ *  /MathJax-v2/jax/output/CommonHTML/autoload/annotation-xml.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML;a["annotation-xml"].Augment({toCommonHTML:function(e){var d=this.Get("encoding");e=this.CHTMLdefaultNode(e,{childOptions:{encoding:d}});if(this.CHTML.rscale!==1){this.CHTML.rescale(1/this.CHTML.rscale)}return e}});a.xml.Augment({toCommonHTML:function(l,g){var n=this.CHTML=b.BBOX.zero();for(var j=0,d=this.data.length;j<d;j++){l.appendChild(this.data[j].cloneNode(true))}var e=l.offsetWidth,k=l.offsetHeight;var f=b.addElement(l,"mjx-hd-test",{style:{height:k+"px"}});n.d=n.b=(l.offsetHeight-k)/b.em;n.w=n.r=e/b.em;n.h=n.t=k/b.em-n.d;l.removeChild(f)}});MathJax.Hub.Startup.signal.Post("CommonHTML annotation-xml Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/annotation-xml.js")});
+MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML;a["annotation-xml"].Augment({toCommonHTML:function(e){var d=this.Get("encoding");e=this.CHTMLdefaultNode(e,{childOptions:{encoding:d}});if(this.CHTML.rscale!==1){this.CHTML.rescale(1/this.CHTML.rscale)}return e}});a.xml.Augment({toCommonHTML:function(l,g){var n=this.CHTML=b.BBOX.zero();for(var j=0,d=this.data.length;j<d;j++){l.appendChild(this.data[j].cloneNode(true))}var e=l.offsetWidth,k=l.offsetHeight;var f=b.addElement(l,"mjx-hd-test",{style:{height:k+"px"}});n.d=n.b=(l.offsetHeight-k)/b.em;n.w=n.r=e/b.em;n.h=n.t=k/b.em-n.d;l.removeChild(f)}});MathJax.Hub.Startup.signal.Post("CommonHTML annotation-xml Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/annotation-xml.js")});
diff --git a/jax/output/CommonHTML/autoload/maction.js b/jax/output/CommonHTML/autoload/maction.js
index e105c2f5c6..6f3eee1642 100644
--- a/jax/output/CommonHTML/autoload/maction.js
+++ b/jax/output/CommonHTML/autoload/maction.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/autoload/maction.js
+ *  /MathJax-v2/jax/output/CommonHTML/autoload/maction.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var c=MathJax.ElementJax.mml,e=MathJax.OutputJax.CommonHTML;var d,f,b;var a=e.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},e.config.tooltip||{});c.maction.Augment({CHTMLtooltip:e.addElement(document.body,"div",{id:"MathJax_CHTML_Tooltip"}),toCommonHTML:function(j){var i=this.Get("selection");j=this.CHTMLcreateNode(j);this.CHTML=e.BBOX.empty();this.CHTMLhandleStyle(j);this.CHTMLhandleScale(j);this.CHTMLaddChild(j,i-1,{});this.CHTML.clean();this.CHTMLhandleSpace(j);this.CHTMLhandleBBox(j);this.CHTMLhandleColor(j);var h=this.Get("actiontype");if(this.CHTMLaction[h]&&this.CHTMLaction.hasOwnProperty(h)){this.CHTMLaction[h].call(this,j,i)}return j},CHTMLcoreNode:function(h){return this.CHTMLchildNode(h,0)},CHTMLaction:{toggle:function(i,h){this.selection=h;i.onclick=MathJax.Callback(["CHTMLclick",this,e.jax]);i.style.cursor="pointer"},statusline:function(i,h){i.onmouseover=MathJax.Callback(["CHTMLsetStatus",this]);i.onmouseout=MathJax.Callback(["CHTMLclearStatus",this]);i.onmouseover.autoReset=i.onmouseout.autoReset=true},tooltip:function(i,h){if(this.data[1]&&this.data[1].isToken){i.title=i.alt=this.data[1].data.join("")}else{i.onmouseover=MathJax.Callback(["CHTMLtooltipOver",this,e.jax]);i.onmouseout=MathJax.Callback(["CHTMLtooltipOut",this,e.jax]);i.onmouseover.autoReset=i.onmouseout.autoReset=true}}},CHTMLclick:function(h,k){this.selection++;if(this.selection>this.data.length){this.selection=1}var j=!!h.hover;h.Update();if(j){var i=document.getElementById(h.inputID+"-Span");MathJax.Extension.MathEvents.Hover.Hover(h,i)}return MathJax.Extension.MathEvents.Event.False(k)},CHTMLsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},CHTMLclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},CHTMLtooltipOver:function(i,j){if(!j){j=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=j.pageX;var l=j.pageY;if(h==null){h=j.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;l=j.clientY+document.body.scrollTop+document.documentElement.scrollTop}var k=MathJax.Callback(["CHTMLtooltipPost",this,i,h+a.offsetX,l+a.offsetY]);f=setTimeout(k,a.delayPost)},CHTMLtooltipOut:function(h,i){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var j=MathJax.Callback(["CHTMLtooltipClear",this,80]);b=setTimeout(j,a.delayClear)},CHTMLtooltipPost:function(i,h,l){f=null;if(b){clearTimeout(b);b=null}var k=this.CHTMLtooltip;k.style.display="block";k.style.opacity="";if(this===d){return}k.style.left=h+"px";k.style.top=l+"px";k.innerHTML='<span class="mjx-chtml"><span class="mjx-math"></span></span>';e.getMetrics(i);try{this.data[1].toCommonHTML(k.firstChild.firstChild)}catch(j){if(!j.restart){throw j}k.style.display="none";MathJax.Callback.After(["CHTMLtooltipPost",this,i,h,l],j.restart);return}d=this},CHTMLtooltipClear:function(i){var h=this.CHTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["CHTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("CommonHTML maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")});
+MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.9";var c=MathJax.ElementJax.mml,e=MathJax.OutputJax.CommonHTML;var d,f,b;var a=e.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},e.config.tooltip||{});c.maction.Augment({CHTMLtooltip:e.addElement(document.body,"div",{id:"MathJax_CHTML_Tooltip"}),toCommonHTML:function(j){var i=this.Get("selection");j=this.CHTMLcreateNode(j);this.CHTML=e.BBOX.empty();this.CHTMLhandleStyle(j);this.CHTMLhandleScale(j);this.CHTMLaddChild(j,i-1,{});this.CHTML.clean();this.CHTMLhandleSpace(j);this.CHTMLhandleBBox(j);this.CHTMLhandleColor(j);var h=this.Get("actiontype");if(this.CHTMLaction[h]&&this.CHTMLaction.hasOwnProperty(h)){this.CHTMLaction[h].call(this,j,i)}return j},CHTMLcoreNode:function(h){return this.CHTMLchildNode(h,0)},CHTMLaction:{toggle:function(i,h){this.selection=h;i.onclick=MathJax.Callback(["CHTMLclick",this,e.jax]);i.style.cursor="pointer"},statusline:function(i,h){i.onmouseover=MathJax.Callback(["CHTMLsetStatus",this]);i.onmouseout=MathJax.Callback(["CHTMLclearStatus",this]);i.onmouseover.autoReset=i.onmouseout.autoReset=true},tooltip:function(i,h){if(this.data[1]&&this.data[1].isToken){i.title=i.alt=this.data[1].data.join("")}else{i.onmouseover=MathJax.Callback(["CHTMLtooltipOver",this,e.jax]);i.onmouseout=MathJax.Callback(["CHTMLtooltipOut",this,e.jax]);i.onmouseover.autoReset=i.onmouseout.autoReset=true}}},CHTMLclick:function(h,k){this.selection++;if(this.selection>this.data.length){this.selection=1}var j=!!h.hover;h.Update();if(j){var i=document.getElementById(h.inputID+"-Span");MathJax.Extension.MathEvents.Hover.Hover(h,i)}return MathJax.Extension.MathEvents.Event.False(k)},CHTMLsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},CHTMLclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},CHTMLtooltipOver:function(i,j){if(!j){j=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=j.pageX;var l=j.pageY;if(h==null){h=j.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;l=j.clientY+document.body.scrollTop+document.documentElement.scrollTop}var k=MathJax.Callback(["CHTMLtooltipPost",this,i,h+a.offsetX,l+a.offsetY]);f=setTimeout(k,a.delayPost)},CHTMLtooltipOut:function(h,i){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var j=MathJax.Callback(["CHTMLtooltipClear",this,80]);b=setTimeout(j,a.delayClear)},CHTMLtooltipPost:function(i,h,l){f=null;if(b){clearTimeout(b);b=null}var k=this.CHTMLtooltip;k.style.display="block";k.style.opacity="";if(this===d){return}k.style.left=h+"px";k.style.top=l+"px";k.innerHTML='<span class="mjx-chtml"><span class="mjx-math"></span></span>';e.getMetrics(i);try{this.data[1].toCommonHTML(k.firstChild.firstChild)}catch(j){if(!j.restart){throw j}k.style.display="none";MathJax.Callback.After(["CHTMLtooltipPost",this,i,h,l],j.restart);return}d=this},CHTMLtooltipClear:function(i){var h=this.CHTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["CHTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("CommonHTML maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")});
diff --git a/jax/output/CommonHTML/autoload/menclose.js b/jax/output/CommonHTML/autoload/menclose.js
index de7f577617..6be3209c80 100644
--- a/jax/output/CommonHTML/autoload/menclose.js
+++ b/jax/output/CommonHTML/autoload/menclose.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/autoload/menclose.js
+ *  /MathJax-v2/jax/output/CommonHTML/autoload/menclose.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.CommonHTML;var f="http://www.w3.org/2000/svg";var e=4,b=1,c=2;a.menclose.Augment({toCommonHTML:function(o){var y=this.getValues("notation","thickness","padding");if(y.thickness==null){y.thickness=".075em"}if(y.padding==null){y.padding=".2em"}o=this.CHTMLdefaultNode(o,{childNodes:"mjx-box",forceChild:true});var j=o.firstChild,v=this.CHTMLbboxFor(0);var h=this.CHTMLlength2em(y.padding,1/d.em);var z=this.CHTMLlength2em(y.thickness,1/d.em);z=Math.max(1,Math.round(z*d.em))/d.em;var q=d.Px(z)+" solid";var u={L:h,R:h,T:h,B:h,H:v.h+h,D:v.d+h,W:v.w+2*h};j.style.padding=d.Em(h);var s=MathJax.Hub.SplitList(y.notation),w={};for(var r=0,l=s.length;r<l;r++){w[s[r]]=true}if(w[a.NOTATION.UPDIAGONALARROW]){delete w[a.NOTATION.UPDIAGONALSTRIKE]}for(var k in w){if(w.hasOwnProperty(k)){if(this.CHTMLnotation[k]&&this.CHTMLnotation.hasOwnProperty(k)){this.CHTMLnotation[k].call(this,j,v,u,h,z,q)}}}var x=this.CHTML;x.w+=u.L+u.R;x.r+=x.L;if(x.w>x.r){x.r=x.w}x.h+=u.T;if(x.h>x.t){x.t=x.h}x.d+=u.B;if(x.d>x.b){x.b=x.d}return o},CHTMLnotation:{box:function(m,j,l,k,i,h){k-=i;m.style.padding=d.Em(k);m.style.border=h},roundedbox:function(n,k,m,l,i,h){var j=Math.min(k.w,k.h+k.d+2*l)/4;d.addElement(n.parentNode,"mjx-box",{style:{padding:d.Em(l-i),border:h,"border-radius":d.Em(j),height:d.Em(k.h+k.d),"vertical-align":d.Em(-m.D),width:d.Em(k.w),"margin-left":d.Em(-m.W)}})},circle:function(j,o,n,i,r,l){var q=n.H,h=n.D,k=n.W;var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"ellipse",{rx:d.Px(k/2-r/2),ry:d.Px((q+h)/2-r/2),cx:d.Px(k/2),cy:d.Px((q+h)/2)})},left:function(m,j,l,k,i,h){m.style.borderLeft=h;m.style.paddingLeft=d.Em(k-i)},right:function(m,j,l,k,i,h){m.style.borderRight=h;m.style.paddingRight=d.Em(k-i)},top:function(m,j,l,k,i,h){m.style.borderTop=h;m.style.paddingTop=d.Em(k-i)},bottom:function(m,j,l,k,i,h){m.style.borderBottom=h;m.style.paddingBottom=d.Em(k-i)},actuarial:function(m,j,l,k,i,h){m.style.borderTop=m.style.borderRight=h;m.style.paddingTop=m.style.paddingRight=d.Em(k-i)},madruwb:function(m,j,l,k,i,h){m.style.borderBottom=m.style.borderRight=h;m.style.paddingBottom=m.style.paddingRight=d.Em(k-i)},verticalstrike:function(m,j,l,k,i,h){d.addElement(m.parentNode,"mjx-box",{style:{"border-left":h,height:d.Em(l.H+l.D),"vertical-align":d.Em(-l.D),width:d.Em(j.w/2+k-i/2),"margin-left":d.Em(-j.w/2-k-i/2)}})},horizontalstrike:function(m,j,l,k,i,h){d.addElement(m.parentNode,"mjx-box",{style:{"border-top":h,height:d.Em((l.H+l.D)/2-i/2),"vertical-align":d.Em(-l.D),width:d.Em(l.W),"margin-left":d.Em(-l.W)}})},updiagonalstrike:function(j,o,n,i,r,l){var q=n.H,h=n.D,k=n.W;var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"line",{x1:d.Px(r/2),y1:d.Px(q+h-r),x2:d.Px(k-r),y2:d.Px(r/2)})},downdiagonalstrike:function(j,o,n,i,r,l){var q=n.H,h=n.D,k=n.W;var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"line",{x1:d.Px(r/2),y1:d.Px(r/2),x2:d.Px(k-r),y2:d.Px(q+h-r)})},updiagonalarrow:function(i,q,o,h,w,k){var v=o.H+o.D-w,j=o.W-w/2;var u=Math.atan2(v,j)*(-180/Math.PI).toFixed(3);var l=Math.sqrt(v*v+j*j);var m=this.CHTMLsvg(i,o,w);var n=this.CHTMLsvgElement(m.firstChild,"g",{fill:"currentColor",transform:"translate("+this.CHTMLpx(w/2)+" "+this.CHTMLpx(v+w/2)+") rotate("+u+")"});var s=w*e,z=w*b,r=w*c;this.CHTMLsvgElement(n,"line",{x1:d.Px(w/2),y1:0,x2:d.Px(l-s),y2:0});this.CHTMLsvgElement(n,"path",{d:"M "+this.CHTMLpx(l-s)+",0 L "+this.CHTMLpx(l-s-z)+","+this.CHTMLpx(r)+"L "+this.CHTMLpx(l)+",0 L "+this.CHTMLpx(l-s-z)+","+this.CHTMLpx(-r),stroke:"none"})},phasorangle:function(j,q,o,i,s,l){var n=i,r=o.H,h=o.D;i=(r+h)/2;var k=o.W+i-n;o.W=k;o.L=i;j.style.margin="0 0 0 "+d.Em(i-n);var m=this.CHTMLsvg(j,o,s);this.CHTMLsvgElement(m.firstChild,"path",{d:"M "+this.CHTMLpx(i)+",1 L 1,"+this.CHTMLpx(r+h-s)+" L "+this.CHTMLpx(k)+","+this.CHTMLpx(r+h-s)})},longdiv:function(j,o,n,i,r,l){n.W+=1.5*i;n.L+=1.5*i;var q=n.H,h=n.D,k=n.W;j.style.margin="0 0 0 "+d.Em(1.5*i);var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"path",{d:"M "+this.CHTMLpx(k)+",1 L 1,1 a"+this.CHTMLpx(i)+","+this.CHTMLpx((q+h)/2-r/2)+" 0 0,1 1,"+this.CHTMLpx(q+h-1.5*r)})},radical:function(j,o,n,i,r,l){n.W+=1.5*i;n.L+=1.5*i;var q=n.H,h=n.D,k=n.W;j.style.margin="0 0 0 "+d.Em(1.5*i);var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"path",{d:"M 1,"+this.CHTMLpx(0.6*(q+h))+" L "+this.CHTMLpx(i)+","+this.CHTMLpx(q+h)+" L "+this.CHTMLpx(2*i)+",1 L "+this.CHTMLpx(k)+",1"})}},CHTMLpx:function(h){h*=d.em;if(Math.abs(h)<0.1){return"0"}return h.toFixed(1).replace(/\.0$/,"")},CHTMLsvg:function(j,k,i){if(!h){var h=document.createElementNS(f,"svg");if(h.style){h.style.width=d.Em(k.W);h.style.height=d.Em(k.H+k.D);h.style.verticalAlign=d.Em(-k.D);h.style.marginLeft=d.Em(-k.W)}this.CHTMLsvgElement(h,"g",{"stroke-width":d.Px(i)});j.parentNode.appendChild(h)}return h},CHTMLsvgElement:function(h,i,j){var k=document.createElementNS(f,i);k.isMathJax=true;if(j){for(var l in j){if(j.hasOwnProperty(l)){k.setAttributeNS(null,l,j[l].toString())}}}h.appendChild(k);return k}});if(!document.createElementNS){delete a.menclose.prototype.toCommonHTML}MathJax.Hub.Startup.signal.Post("CommonHTML menclose Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/menclose.js")});
+MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.9";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.CommonHTML;var f="http://www.w3.org/2000/svg";var e=4,b=1,c=2;a.menclose.Augment({toCommonHTML:function(o){var y=this.getValues("notation","thickness","padding");if(y.thickness==null){y.thickness=".075em"}if(y.padding==null){y.padding=".2em"}o=this.CHTMLdefaultNode(o,{childNodes:"mjx-box",forceChild:true});var j=o.firstChild,v=this.CHTMLbboxFor(0);var h=this.CHTMLlength2em(y.padding,1/d.em);var z=this.CHTMLlength2em(y.thickness,1/d.em);z=Math.max(1,Math.round(z*d.em))/d.em;var q=d.Px(z)+" solid";var u={L:h,R:h,T:h,B:h,H:v.h+h,D:v.d+h,W:v.w+2*h};j.style.padding=d.Em(h);var s=MathJax.Hub.SplitList(y.notation),w={};for(var r=0,l=s.length;r<l;r++){w[s[r]]=true}if(w[a.NOTATION.UPDIAGONALARROW]){delete w[a.NOTATION.UPDIAGONALSTRIKE]}for(var k in w){if(w.hasOwnProperty(k)){if(this.CHTMLnotation[k]&&this.CHTMLnotation.hasOwnProperty(k)){this.CHTMLnotation[k].call(this,j,v,u,h,z,q)}}}var x=this.CHTML;x.w+=u.L+u.R;x.r+=x.L;if(x.w>x.r){x.r=x.w}x.h+=u.T;if(x.h>x.t){x.t=x.h}x.d+=u.B;if(x.d>x.b){x.b=x.d}return o},CHTMLnotation:{box:function(m,j,l,k,i,h){k-=i;m.style.padding=d.Em(k);m.style.border=h},roundedbox:function(n,k,m,l,i,h){var j=Math.min(k.w,k.h+k.d+2*l)/4;d.addElement(n.parentNode,"mjx-box",{style:{padding:d.Em(l-i),border:h,"border-radius":d.Em(j),height:d.Em(k.h+k.d),"vertical-align":d.Em(-m.D),width:d.Em(k.w),"margin-left":d.Em(-m.W)}})},circle:function(j,o,n,i,r,l){var q=n.H,h=n.D,k=n.W;var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"ellipse",{rx:d.Px(k/2-r/2),ry:d.Px((q+h)/2-r/2),cx:d.Px(k/2),cy:d.Px((q+h)/2)});this.CHTMLsvgViewBox(m)},left:function(m,j,l,k,i,h){m.style.borderLeft=h;m.style.paddingLeft=d.Em(k-i)},right:function(m,j,l,k,i,h){m.style.borderRight=h;m.style.paddingRight=d.Em(k-i)},top:function(m,j,l,k,i,h){m.style.borderTop=h;m.style.paddingTop=d.Em(k-i)},bottom:function(m,j,l,k,i,h){m.style.borderBottom=h;m.style.paddingBottom=d.Em(k-i)},actuarial:function(m,j,l,k,i,h){m.style.borderTop=m.style.borderRight=h;m.style.paddingTop=m.style.paddingRight=d.Em(k-i)},madruwb:function(m,j,l,k,i,h){m.style.borderBottom=m.style.borderRight=h;m.style.paddingBottom=m.style.paddingRight=d.Em(k-i)},verticalstrike:function(m,j,l,k,i,h){d.addElement(m.parentNode,"mjx-box",{style:{"border-left":h,height:d.Em(l.H+l.D),"vertical-align":d.Em(-l.D),width:d.Em(j.w/2+k-i/2),"margin-left":d.Em(-j.w/2-k-i/2)}})},horizontalstrike:function(m,j,l,k,i,h){d.addElement(m.parentNode,"mjx-box",{style:{"border-top":h,height:d.Em((l.H+l.D)/2-i/2),"vertical-align":d.Em(-l.D),width:d.Em(l.W),"margin-left":d.Em(-l.W)}})},updiagonalstrike:function(j,o,n,i,r,l){var q=n.H,h=n.D,k=n.W;var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"line",{x1:d.Px(r/2),y1:d.Px(q+h-r),x2:d.Px(k-r),y2:d.Px(r/2)});this.CHTMLsvgViewBox(m)},downdiagonalstrike:function(j,o,n,i,r,l){var q=n.H,h=n.D,k=n.W;var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"line",{x1:d.Px(r/2),y1:d.Px(r/2),x2:d.Px(k-r),y2:d.Px(q+h-r)});this.CHTMLsvgViewBox(m)},updiagonalarrow:function(i,q,o,h,w,k){var v=o.H+o.D-w,j=o.W-w/2;var u=Math.atan2(v,j)*(-180/Math.PI).toFixed(3);var l=Math.sqrt(v*v+j*j);var m=this.CHTMLsvg(i,o,w);var n=this.CHTMLsvgElement(m.firstChild,"g",{fill:"currentColor",transform:"translate("+this.CHTMLpx(w/2)+" "+this.CHTMLpx(v+w/2)+") rotate("+u+")"});var s=w*e,z=w*b,r=w*c;this.CHTMLsvgElement(n,"line",{x1:d.Px(w/2),y1:0,x2:d.Px(l-s),y2:0});this.CHTMLsvgElement(n,"path",{d:"M "+this.CHTMLpx(l-s)+",0 L "+this.CHTMLpx(l-s-z)+","+this.CHTMLpx(r)+"L "+this.CHTMLpx(l)+",0 L "+this.CHTMLpx(l-s-z)+","+this.CHTMLpx(-r),stroke:"none"});this.CHTMLsvgViewBox(m)},phasorangle:function(j,q,o,i,s,l){var n=i,r=o.H,h=o.D;i=(r+h)/2;var k=o.W+i-n;o.W=k;o.L=i;j.style.margin="0 0 0 "+d.Em(i-n);var m=this.CHTMLsvg(j,o,s);this.CHTMLsvgElement(m.firstChild,"path",{d:"M "+this.CHTMLpx(i)+",1 L 1,"+this.CHTMLpx(r+h-s)+" L "+this.CHTMLpx(k)+","+this.CHTMLpx(r+h-s)});this.CHTMLsvgViewBox(m)},longdiv:function(j,o,n,i,r,l){n.W+=1.5*i;n.L+=1.5*i;var q=n.H,h=n.D,k=n.W;j.style.margin="0 0 0 "+d.Em(1.5*i);var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"path",{d:"M "+this.CHTMLpx(k)+",1 L 1,1 a"+this.CHTMLpx(i)+","+this.CHTMLpx((q+h)/2-r/2)+" 0 0,1 1,"+this.CHTMLpx(q+h-1.5*r)});this.CHTMLsvgViewBox(m)},radical:function(j,o,n,i,r,l){n.W+=1.5*i;n.L+=1.5*i;var q=n.H,h=n.D,k=n.W;j.style.margin="0 0 0 "+d.Em(1.5*i);var m=this.CHTMLsvg(j,n,r);this.CHTMLsvgElement(m.firstChild,"path",{d:"M 1,"+this.CHTMLpx(0.6*(q+h))+" L "+this.CHTMLpx(i)+","+this.CHTMLpx(q+h)+" L "+this.CHTMLpx(2*i)+",1 L "+this.CHTMLpx(k)+",1"});this.CHTMLsvgViewBox(m)}},CHTMLpx:function(h){h*=d.em;if(Math.abs(h)<0.1){return"0"}return h.toFixed(1).replace(/\.0$/,"")},CHTMLsvg:function(k,l,i){var h=document.createElementNS(f,"svg");if(h.style){h.style.width=d.Em(l.W);h.style.height=d.Em(l.H+l.D);h.style.verticalAlign=d.Em(-l.D);h.style.marginLeft=d.Em(-l.W)}var j=this.CHTMLsvgElement(h,"g",{"stroke-width":d.Px(i)});if(this.CHTML.scale!==1){j.setAttribute("transform","scale("+this.CHTML.scale+")")}k.parentNode.appendChild(h);return h},CHTMLsvgViewBox:function(h){var i=h.getBBox();h.setAttribute("viewBox",[i.x,i.y,i.width,i.height].join(" "))},CHTMLsvgElement:function(h,i,j){var k=document.createElementNS(f,i);k.isMathJax=true;if(j){for(var l in j){if(j.hasOwnProperty(l)){k.setAttributeNS(null,l,j[l].toString())}}}h.appendChild(k);return k}});if(!document.createElementNS){delete a.menclose.prototype.toCommonHTML}MathJax.Hub.Startup.signal.Post("CommonHTML menclose Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/menclose.js")});
diff --git a/jax/output/CommonHTML/autoload/mglyph.js b/jax/output/CommonHTML/autoload/mglyph.js
index a203010737..837379d866 100644
--- a/jax/output/CommonHTML/autoload/mglyph.js
+++ b/jax/output/CommonHTML/autoload/mglyph.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/autoload/mglyph.js
+ *  /MathJax-v2/jax/output/CommonHTML/autoload/mglyph.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML,d=MathJax.Localization;a.mglyph.Augment({toCommonHTML:function(f,r){var o=this.getValues("src","width","height","valign","alt");f=this.CHTMLcreateNode(f);this.CHTMLhandleStyle(f);this.CHTMLhandleScale(f);if(o.src===""){var k=this.Get("index");this.CHTMLgetVariant();if(k&&this.CHTMLvariant.style){this.CHTMLhandleText(f,String.fromCharCode(k),this.CHTMLvariant)}}else{var p=this.CHTML;if(!p.img){p.img=a.mglyph.GLYPH[o.src]}if(!p.img){p.img=a.mglyph.GLYPH[o.src]={img:new Image(),status:"pending"};p.img.img.onload=MathJax.Callback(["CHTMLimgLoaded",this]);p.img.img.onerror=MathJax.Callback(["CHTMLimgError",this]);p.img.img.src=o.src;MathJax.Hub.RestartAfter(p.img.img.onload)}if(p.img.status!=="OK"){var g=a.Error(d._(["MathML","BadMglyph"],"Bad mglyph: %1",o.src));g.data[0].data[0].mathsize="75%";this.Append(g);g.toCommonHTML(f);this.data.pop();p.combine(g.CHTML,0,0,1)}else{var i=b.addElement(f,"img",{isMathJax:true,src:o.src,alt:o.alt,title:o.alt});var m=o.width,j=o.height;var e=p.img.img.width/b.em,n=p.img.img.height/b.em;var q=e,l=n;if(m!==""){e=this.CHTMLlength2em(m,q);n=(q?e/q*l:0)}if(j!==""){n=this.CHTMLlength2em(j,l);if(m===""){e=(l?n/l*q:0)}}i.style.width=b.Em(e);p.w=p.r=e;i.style.height=b.Em(n);p.h=p.t=n;if(o.valign){p.d=p.b=-this.CHTMLlength2em(o.valign,l);i.style.verticalAlign=b.Em(-p.d);p.h-=p.d;p.t=p.h}}}this.CHTMLhandleSpace(f);this.CHTMLhandleBBox(f);this.CHTMLhandleColor(f);return f},CHTMLimgLoaded:function(f,e){if(typeof(f)==="string"){e=f}this.CHTML.img.status=(e||"OK")},CHTMLimgError:function(){this.CHTML.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("CommonHTML mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")});
+MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML,d=MathJax.Localization;a.mglyph.Augment({toCommonHTML:function(f,r){var o=this.getValues("src","width","height","valign","alt");f=this.CHTMLcreateNode(f);this.CHTMLhandleStyle(f);this.CHTMLhandleScale(f);if(o.src===""){var k=this.Get("index");this.CHTMLgetVariant();if(k&&this.CHTMLvariant.style){this.CHTMLhandleText(f,String.fromCharCode(k),this.CHTMLvariant)}}else{var p=this.CHTML;if(!p.img){p.img=a.mglyph.GLYPH[o.src]}if(!p.img){p.img=a.mglyph.GLYPH[o.src]={img:new Image(),status:"pending"};p.img.img.onload=MathJax.Callback(["CHTMLimgLoaded",this]);p.img.img.onerror=MathJax.Callback(["CHTMLimgError",this]);p.img.img.src=o.src;MathJax.Hub.RestartAfter(p.img.img.onload)}if(p.img.status!=="OK"){var g=a.Error(d._(["MathML","BadMglyph"],"Bad mglyph: %1",o.src));g.data[0].data[0].mathsize="75%";this.Append(g);g.toCommonHTML(f);this.data.pop();p.combine(g.CHTML,0,0,1)}else{var i=b.addElement(f,"img",{isMathJax:true,src:o.src,alt:o.alt,title:o.alt});var m=o.width,j=o.height;var e=p.img.img.width/b.em,n=p.img.img.height/b.em;var q=e,l=n;if(m!==""){e=this.CHTMLlength2em(m,q);n=(q?e/q*l:0)}if(j!==""){n=this.CHTMLlength2em(j,l);if(m===""){e=(l?n/l*q:0)}}i.style.width=b.Em(e);p.w=p.r=e;i.style.height=b.Em(n);p.h=p.t=n;if(o.valign){p.d=p.b=-this.CHTMLlength2em(o.valign,l);i.style.verticalAlign=b.Em(-p.d);p.h-=p.d;p.t=p.h}}}this.CHTMLhandleSpace(f);this.CHTMLhandleBBox(f);this.CHTMLhandleColor(f);return f},CHTMLimgLoaded:function(f,e){if(typeof(f)==="string"){e=f}this.CHTML.img.status=(e||"OK")},CHTMLimgError:function(){this.CHTML.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("CommonHTML mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")});
diff --git a/jax/output/CommonHTML/autoload/mmultiscripts.js b/jax/output/CommonHTML/autoload/mmultiscripts.js
index 2ce8a57de4..502480a583 100644
--- a/jax/output/CommonHTML/autoload/mmultiscripts.js
+++ b/jax/output/CommonHTML/autoload/mmultiscripts.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/autoload/mmultiscripts.js
+ *  /MathJax-v2/jax/output/CommonHTML/autoload/mmultiscripts.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML;a.mmultiscripts.Augment({toCommonHTML:function(K,k){var P=(k||{}).stretch;if(!P){K=this.CHTMLcreateNode(K);this.CHTMLhandleStyle(K);this.CHTMLgetVariant();this.CHTMLhandleScale(K)}b.BBOX.empty(this.CHTML);var m,e;if(P){m=b.getNode(K,"mjx-base")}else{this.CHTMLaddChild(K,0,{type:"mjx-base",noBBox:true,forceChild:true});m=K.firstChild}e=this.CHTMLbboxFor(0);if(e.ic){e.R-=e.ic;if(!P){m.style.marginRight=b.Em(-e.ic)}R=1.3*e.ic+0.05}var E={},n={};this.CHTMLgetScripts(E,n,P,K);var w=E.sub,f=E.sup,B=E.presub,l=E.presup;var H=n.sub,N=n.sup,j=n.presub,o=n.presup;if(!P){this.CHTMLaddBoxes(K,m,E)}var g=this.getValues("scriptlevel","scriptsizemultiplier");var i=(this.Get("scriptlevel")<3?g.scriptsizemultiplier:1);var O=b.TEX.x_height,F=b.TEX.scriptspace;var I=b.TEX.sup_drop*i,G=b.TEX.sub_drop*i;var C=e.h-I,A=e.d+G,R=0,J;var L=this.data[this.base];if(L&&(L.type==="mi"||L.type==="mo")){if(b.isChar(L.data.join(""))&&e.rscale===1&&!e.sH&&!L.Get("largeop")){C=A=0}}g=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");g.subscriptshift=(g.subscriptshift===""?0:this.CHTMLlength2em(g.subscriptshift));g.superscriptshift=(g.superscriptshift===""?0:this.CHTMLlength2em(g.superscriptshift));var z=(B?F+j.w:l?F+o.w-R:0);this.CHTML.combine(e,z,0);var y=this.CHTML.w;if(!f&&!l){A=Math.max(A,b.TEX.sub1,g.subscriptshift);if(w){A=Math.max(A,H.h-(4/5)*O)}if(B){A=Math.max(A,j.h-(4/5)*O)}if(w){this.CHTMLplaceSubOnly(w,H,y,A,F)}if(B){this.CHTMLplacePresubOnly(B,j,A,F)}}else{if(!w&&!B){J=b.TEX[(g.displaystyle?"sup1":(g.texprimestyle?"sup3":"sup2"))];C=Math.max(C,J,g.superscriptshift);if(f){C=Math.max(C,N.d+(1/4)*O)}if(l){C=Math.max(C,o.d+(1/4)*O)}if(f){this.CHTMLplaceSupOnly(f,N,y,R,C,F)}if(l){this.CHTMLplacePresupOnly(l,o,R,C,F)}}else{A=Math.max(A,b.TEX.sub2);var D=b.TEX.rule_thickness;var M=(H||j).h,Q=(N||o).d;if(B){M=Math.max(M,j.h)}if(l){Q=Math.max(Q,o.d)}if((C-Q)-(M-A)<3*D){A=3*D-C+Q+M;I=(4/5)*O-(C-Q);if(I>0){C+=I;A-=I}}C=Math.max(C,g.superscriptshift);A=Math.max(A,g.subscriptshift);if(f){if(w){this.CHTMLplaceSubSup(w,H,f,N,y,R,C,A,F)}else{this.CHTMLplaceSupOnly(f,N,y,R,C,F)}}else{if(w){this.CHTMLplaceSubOnly(w,H,y,A,F)}}if(l){if(B){this.CHTMLplacePresubPresup(B,j,l,o,R,C,A,F)}else{this.CHTMLplacePresupOnly(l,o,R,C,F)}}else{if(B){this.CHTMLplacePresubOnly(B,j,A,F)}}}}this.CHTML.clean();this.CHTMLhandleSpace(K);this.CHTMLhandleBBox(K);this.CHTMLhandleColor(K);return K},CHTMLgetScripts:function(e,o,g,h){if(g){e.sub=b.getNode(h,"mjx-sub");e.sup=b.getNode(h,"mjx-sup");e.presub=b.getNode(h,"mjx-presub");e.presup=b.getNode(h,"mjx-presup");o.sub=this.CHTMLbbox.sub;o.sup=this.CHTMLbbox.sup;o.presub=this.CHTMLbbox.presub;o.presup=this.CHTMLbbox.presup;return}this.CHTMLbbox=o;var f={i:1,w:0,BOX:e,BBOX:o},i=this.data.length;var d="sub",j="sup";while(f.i<i){if((this.data[f.i]||{}).type==="mprescripts"){f.i++;f.w=0;d="presub";j="presup"}else{var k=this.CHTMLaddScript(d,f,h);var n=this.CHTMLaddScript(j,f,h);var l=Math.max((k?k.rscale*k.w:0),(n?n.rscale*n.w:0));this.CHTMLpadScript(d,l,k,f);this.CHTMLpadScript(j,l,n,f);f.w+=l}}if(o.sub){o.sub.clean()}if(o.sup){o.sup.clean()}if(o.presub){o.presub.clean()}if(o.presup){o.presup.clean()}},CHTMLaddScript:function(f,i,g){var e,d,h=this.data[i.i];if(h&&h.type!=="none"&&h.type!=="mprescripts"){e=i.BOX[f];if(!e){e=i.BOX[f]=b.addElement(g,"mjx-"+f);d=i.BBOX[f]=b.BBOX.empty();if(i.w){e.style.paddingLeft=b.Em(i.w);d.w=d.r=i.w;d.x=i.w}}h.toCommonHTML(e);d=h.CHTML}if(h&&h.type!=="mprescripts"){i.i++}return d},CHTMLpadScript:function(h,j,k,g){if(!k){k={w:0,fake:1,rscale:1}}var i=g.BBOX[h],l=0,e=0;if(i){if(k.rscale*k.w<j){var f=g.BOX[h];e=j-k.rscale*k.w;var d=b.Element("mjx-spacer",{style:{width:b.Em(e)}});if(h.substr(0,3)==="pre"&&!k.fake){f.insertBefore(d,f.lastChild);l=e;e=0}else{f.appendChild(d)}}if(k.fake){i.w+=l}else{i.combine(k,i.w+l,0)}i.w+=e}},CHTMLaddBoxes:function(h,f,e){var d=e.sub,i=e.sup,g=e.presub,k=e.presup;if(g&&k){var j=b.Element("mjx-prestack");h.insertBefore(j,f);j.appendChild(k);j.appendChild(g)}else{if(g){h.insertBefore(g,f)}if(k){h.insertBefore(k,f)}}if(d&&i){var l=b.addElement(h,"mjx-stack");l.appendChild(i);l.appendChild(d)}else{if(d){h.appendChild(d)}if(i){h.appendChild(i)}}},CHTMLplaceSubOnly:function(h,f,d,e,g){h.style.verticalAlign=b.Em(-e);h.style.marginRight=b.Em(g);f.w+=g;this.CHTML.combine(f,d,-e)},CHTMLplaceSupOnly:function(e,i,d,h,f,g){e.style.verticalAlign=b.Em(f);e.style.paddingLeft=b.Em(h);e.style.paddingRight=b.Em(g);i.w+=g;this.CHTML.combine(i,d+h,f)},CHTMLplaceSubSup:function(d,f,e,h,g,i,k,j,l){d.style.paddingRight=b.Em(l);f.w+=l;e.style.paddingBottom=b.Em(k+j-h.d-f.h);e.style.paddingLeft=b.Em(i+(h.x||0));e.style.paddingRight=b.Em(l);h.w+=l;e.parentNode.style.verticalAlign=b.Em(-j);this.CHTML.combine(f,g,-j);this.CHTML.combine(h,g+i,k)},CHTMLplacePresubOnly:function(e,d,f,g){e.style.verticalAlign=b.Em(-f);e.style.marginLeft=b.Em(g);this.CHTML.combine(d,g,-f)},CHTMLplacePresupOnly:function(g,f,h,d,e){g.style.verticalAlign=b.Em(d);g.style.paddingLeft=b.Em(e);g.style.paddingRight=b.Em(-h);this.CHTML.combine(f,e,d)},CHTMLplacePresubPresup:function(e,d,j,i,k,g,f,h){e.style.paddingLeft=b.Em(h);j.style.paddingBottom=b.Em(g+f-i.d-d.h);j.style.paddingLeft=b.Em(k+h+(i.x||0));j.style.paddingRight=b.Em(-k);j.parentNode.style.verticalAlign=b.Em(-f);this.CHTML.combine(d,h,-f);this.CHTML.combine(i,h+k,g)},CHTMLstretchH:a.mbase.CHTMLstretchH,CHTMLstretchV:a.mbase.CHTMLstretchV});MathJax.Hub.Startup.signal.Post("CommonHTML mmultiscripts Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mmultiscripts.js")});
+MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML;a.mmultiscripts.Augment({toCommonHTML:function(K,k){var P=(k||{}).stretch;if(!P){K=this.CHTMLcreateNode(K);this.CHTMLhandleStyle(K);this.CHTMLgetVariant();this.CHTMLhandleScale(K)}b.BBOX.empty(this.CHTML);var m,e;if(P){m=b.getNode(K,"mjx-base")}else{this.CHTMLaddChild(K,0,{type:"mjx-base",noBBox:true,forceChild:true});m=K.firstChild}e=this.CHTMLbboxFor(0);if(e.ic){e.R-=e.ic;if(!P){m.style.marginRight=b.Em(-e.ic)}R=1.3*e.ic+0.05}var E={},n={};this.CHTMLgetScripts(E,n,P,K);var w=E.sub,f=E.sup,B=E.presub,l=E.presup;var H=n.sub,N=n.sup,j=n.presub,o=n.presup;if(!P){this.CHTMLaddBoxes(K,m,E)}var g=this.getValues("scriptlevel","scriptsizemultiplier");var i=(this.Get("scriptlevel")<3?g.scriptsizemultiplier:1);var O=b.TEX.x_height,F=b.TEX.scriptspace;var I=b.TEX.sup_drop*i,G=b.TEX.sub_drop*i;var C=e.h-I,A=e.d+G,R=0,J;var L=this.data[this.base];if(L&&(L.type==="mi"||L.type==="mo")){if(b.isChar(L.data.join(""))&&e.rscale===1&&!e.sH&&!L.Get("largeop")){C=A=0}}g=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");g.subscriptshift=(g.subscriptshift===""?0:this.CHTMLlength2em(g.subscriptshift));g.superscriptshift=(g.superscriptshift===""?0:this.CHTMLlength2em(g.superscriptshift));var z=(B?F+j.w:l?F+o.w-R:0);this.CHTML.combine(e,z,0);var y=this.CHTML.w;if(!f&&!l){A=Math.max(A,b.TEX.sub1,g.subscriptshift);if(w){A=Math.max(A,H.h-(4/5)*O)}if(B){A=Math.max(A,j.h-(4/5)*O)}if(w){this.CHTMLplaceSubOnly(w,H,y,A,F)}if(B){this.CHTMLplacePresubOnly(B,j,A,F)}}else{if(!w&&!B){J=b.TEX[(g.displaystyle?"sup1":(g.texprimestyle?"sup3":"sup2"))];C=Math.max(C,J,g.superscriptshift);if(f){C=Math.max(C,N.d+(1/4)*O)}if(l){C=Math.max(C,o.d+(1/4)*O)}if(f){this.CHTMLplaceSupOnly(f,N,y,R,C,F)}if(l){this.CHTMLplacePresupOnly(l,o,R,C,F)}}else{A=Math.max(A,b.TEX.sub2);var D=b.TEX.rule_thickness;var M=(H||j).h,Q=(N||o).d;if(B){M=Math.max(M,j.h)}if(l){Q=Math.max(Q,o.d)}if((C-Q)-(M-A)<3*D){A=3*D-C+Q+M;I=(4/5)*O-(C-Q);if(I>0){C+=I;A-=I}}C=Math.max(C,g.superscriptshift);A=Math.max(A,g.subscriptshift);if(f){if(w){this.CHTMLplaceSubSup(w,H,f,N,y,R,C,A,F)}else{this.CHTMLplaceSupOnly(f,N,y,R,C,F)}}else{if(w){this.CHTMLplaceSubOnly(w,H,y,A,F)}}if(l){if(B){this.CHTMLplacePresubPresup(B,j,l,o,R,C,A,F)}else{this.CHTMLplacePresupOnly(l,o,R,C,F)}}else{if(B){this.CHTMLplacePresubOnly(B,j,A,F)}}}}this.CHTML.clean();this.CHTMLhandleSpace(K);this.CHTMLhandleBBox(K);this.CHTMLhandleColor(K);return K},CHTMLgetScripts:function(e,o,g,h){if(g){e.sub=b.getNode(h,"mjx-sub");e.sup=b.getNode(h,"mjx-sup");e.presub=b.getNode(h,"mjx-presub");e.presup=b.getNode(h,"mjx-presup");o.sub=this.CHTMLbbox.sub;o.sup=this.CHTMLbbox.sup;o.presub=this.CHTMLbbox.presub;o.presup=this.CHTMLbbox.presup;return}this.CHTMLbbox=o;var f={i:1,w:0,BOX:e,BBOX:o},i=this.data.length;var d="sub",j="sup";while(f.i<i){if((this.data[f.i]||{}).type==="mprescripts"){f.i++;f.w=0;d="presub";j="presup"}else{var k=this.CHTMLaddScript(d,f,h);var n=this.CHTMLaddScript(j,f,h);var l=Math.max((k?k.rscale*k.w:0),(n?n.rscale*n.w:0));this.CHTMLpadScript(d,l,k,f);this.CHTMLpadScript(j,l,n,f);f.w+=l}}if(o.sub){o.sub.clean()}if(o.sup){o.sup.clean()}if(o.presub){o.presub.clean()}if(o.presup){o.presup.clean()}},CHTMLaddScript:function(f,i,g){var e,d,h=this.data[i.i];if(h&&h.type!=="none"&&h.type!=="mprescripts"){e=i.BOX[f];if(!e){e=i.BOX[f]=b.addElement(g,"mjx-"+f);d=i.BBOX[f]=b.BBOX.empty();if(i.w){e.style.paddingLeft=b.Em(i.w);d.w=d.r=i.w;d.x=i.w}}h.toCommonHTML(e);d=h.CHTML}if(h&&h.type!=="mprescripts"){i.i++}return d},CHTMLpadScript:function(h,j,k,g){if(!k){k={w:0,fake:1,rscale:1}}var i=g.BBOX[h],l=0,e=0;if(i){if(k.rscale*k.w<j){var f=g.BOX[h];e=j-k.rscale*k.w;var d=b.Element("mjx-spacer",{style:{width:b.Em(e)}});if(h.substr(0,3)==="pre"&&!k.fake){f.insertBefore(d,f.lastChild);l=e;e=0}else{f.appendChild(d)}}if(k.fake){i.w+=l}else{i.combine(k,i.w+l,0)}i.w+=e}},CHTMLaddBoxes:function(h,f,e){var d=e.sub,i=e.sup,g=e.presub,k=e.presup;if(g&&k){var j=b.Element("mjx-prestack");h.insertBefore(j,f);j.appendChild(k);j.appendChild(g)}else{if(g){h.insertBefore(g,f)}if(k){h.insertBefore(k,f)}}if(d&&i){var l=b.addElement(h,"mjx-stack");l.appendChild(i);l.appendChild(d)}else{if(d){h.appendChild(d)}if(i){h.appendChild(i)}}},CHTMLplaceSubOnly:function(h,f,d,e,g){h.style.verticalAlign=b.Em(-e);h.style.marginRight=b.Em(g);f.w+=g;this.CHTML.combine(f,d,-e)},CHTMLplaceSupOnly:function(e,i,d,h,f,g){e.style.verticalAlign=b.Em(f);e.style.paddingLeft=b.Em(h);e.style.paddingRight=b.Em(g);i.w+=g;this.CHTML.combine(i,d+h,f)},CHTMLplaceSubSup:function(d,f,e,h,g,i,k,j,l){d.style.paddingRight=b.Em(l);f.w+=l;e.style.paddingBottom=b.Em(k+j-h.d-f.h);e.style.paddingLeft=b.Em(i+(h.x||0));e.style.paddingRight=b.Em(l);h.w+=l;e.parentNode.style.verticalAlign=b.Em(-j);this.CHTML.combine(f,g,-j);this.CHTML.combine(h,g+i,k)},CHTMLplacePresubOnly:function(e,d,f,g){e.style.verticalAlign=b.Em(-f);e.style.marginLeft=b.Em(g);this.CHTML.combine(d,g,-f)},CHTMLplacePresupOnly:function(g,f,h,d,e){g.style.verticalAlign=b.Em(d);g.style.paddingLeft=b.Em(e);g.style.paddingRight=b.Em(-h);this.CHTML.combine(f,e,d)},CHTMLplacePresubPresup:function(e,d,j,i,k,g,f,h){e.style.paddingLeft=b.Em(h);j.style.paddingBottom=b.Em(g+f-i.d-d.h);j.style.paddingLeft=b.Em(k+h+(i.x||0));j.style.paddingRight=b.Em(-k);j.parentNode.style.verticalAlign=b.Em(-f);this.CHTML.combine(d,h,-f);this.CHTML.combine(i,h+k,g)},CHTMLstretchH:a.mbase.CHTMLstretchH,CHTMLstretchV:a.mbase.CHTMLstretchV});MathJax.Hub.Startup.signal.Post("CommonHTML mmultiscripts Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mmultiscripts.js")});
diff --git a/jax/output/CommonHTML/autoload/ms.js b/jax/output/CommonHTML/autoload/ms.js
index 83b3310a14..2394273a6e 100644
--- a/jax/output/CommonHTML/autoload/ms.js
+++ b/jax/output/CommonHTML/autoload/ms.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/autoload/ms.js
+ *  /MathJax-v2/jax/output/CommonHTML/autoload/ms.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML;a.ms.Augment({toCommonHTML:function(e){e=this.CHTMLcreateNode(e);this.CHTMLhandleStyle(e);this.CHTMLgetVariant();this.CHTMLhandleScale(e);b.BBOX.empty(this.CHTML);var d=this.getValues("lquote","rquote","mathvariant");if(!this.hasValue("lquote")||d.lquote==='"'){d.lquote="\u201C"}if(!this.hasValue("rquote")||d.rquote==='"'){d.rquote="\u201D"}if(d.lquote==="\u201C"&&d.mathvariant==="monospace"){d.lquote='"'}if(d.rquote==="\u201D"&&d.mathvariant==="monospace"){d.rquote='"'}var f=d.lquote+this.data.join("")+d.rquote;this.CHTMLhandleText(e,f,this.CHTMLvariant);this.CHTML.clean();this.CHTMLhandleSpace(e);this.CHTMLhandleBBox(e);this.CHTMLhandleColor(e);return e}});MathJax.Hub.Startup.signal.Post("CommonHTML ms Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/ms.js")});
+MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax.CommonHTML;a.ms.Augment({toCommonHTML:function(e){e=this.CHTMLcreateNode(e);this.CHTMLhandleStyle(e);this.CHTMLgetVariant();this.CHTMLhandleScale(e);b.BBOX.empty(this.CHTML);var d=this.getValues("lquote","rquote","mathvariant");if(!this.hasValue("lquote")||d.lquote==='"'){d.lquote="\u201C"}if(!this.hasValue("rquote")||d.rquote==='"'){d.rquote="\u201D"}if(d.lquote==="\u201C"&&d.mathvariant==="monospace"){d.lquote='"'}if(d.rquote==="\u201D"&&d.mathvariant==="monospace"){d.rquote='"'}var f=d.lquote+this.data.join("")+d.rquote;this.CHTMLhandleText(e,f,this.CHTMLvariant);this.CHTML.clean();this.CHTMLhandleSpace(e);this.CHTMLhandleBBox(e);this.CHTMLhandleColor(e);return e}});MathJax.Hub.Startup.signal.Post("CommonHTML ms Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/ms.js")});
diff --git a/jax/output/CommonHTML/autoload/mtable.js b/jax/output/CommonHTML/autoload/mtable.js
index e6336e2114..93ccbf773c 100644
--- a/jax/output/CommonHTML/autoload/mtable.js
+++ b/jax/output/CommonHTML/autoload/mtable.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/autoload/mtable.js
+ *  /MathJax-v2/jax/output/CommonHTML/autoload/mtable.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.6";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;q<n;q++){var B=this.data[q],A=(B.type==="mtr"?0:c);y[q]=r;h[q]=t;for(var p=A,v=B.data.length+A;p<v;p++){if(l[p]==null){l[p]=-f;if(p>w){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;q<n;q++){y[q]=x;h[q]=o}}k.H=y;k.D=h;k.W=l,k.J=w},CHTMLgetAttributes:function(v,j){var l=d(v.columnspacing),x=d(v.rowspacing),t=d(v.columnalign),r=d(v.rowalign),k=d(v.columnlines),w=d(v.rowlines),o=d(v.columnwidth),n=[],q,p,u=j.J,s=j.rows.length-1;for(q=0,p=l.length;q<p;q++){l[q]=this.CHTMLlength2em(l[q])}for(q=0,p=x.length;q<p;q++){x[q]=this.CHTMLlength2em(x[q])}while(l.length<u){l.push(l[l.length-1])}while(t.length<=u){t.push(t[t.length-1])}while(k.length<u){k.push(k[k.length-1])}while(o.length<=u){o.push(o[o.length-1])}while(x.length<s){x.push(x[x.length-1])}while(r.length<=s){r.push(r[r.length-1])}while(w.length<s){w.push(w[w.length-1])}t[c]=(v.side.substr(0,1)==="l"?"left":"right");for(q=0;q<=s;q++){var y=this.data[q];n[q]=[];if(y.rowalign){r[q]=y.rowalign}if(y.columnalign){n[q]=d(y.columnalign);while(n[q].length<=u){n[q].push(n[q][n[q].length-1])}}}var h=d(v.framespacing);if(h.length!=2){h=d(this.defaults.framespacing)}h[0]=Math.max(0,this.CHTMLlength2em(h[0]));h[1]=Math.max(0,this.CHTMLlength2em(h[1]));if(v.columnlines.replace(/none/g,"").replace(/ /g,"")!==""||v.rowlines.replace(/none/g,"").replace(/ /g,"")!==""){v.fspace=true}if(v.frame===b.LINES.NONE){delete v.frame}else{v.fspace=true}if(v.frame){h[0]=Math.max(0,h[0]);h[1]=Math.max(0,h[1])}if(v.fspace){l[u]=h[0];x[s]=h[1]}else{l[u]=x[s]=0}k[u]=w[s]=b.LINES.NONE;j.CSPACE=l;j.RSPACE=x;j.CALIGN=t;j.RALIGN=r;j.CLINES=k;j.RLINES=w;j.CWIDTH=o;j.RCALIGN=n;j.FSPACE=h},CHTMLadjustCells:function(l,r){var S=r.rows,W=r.CSPACE,o=r.CLINES,x=r.RSPACE,F=r.RLINES,V=r.CALIGN,q=r.RALIGN,G=r.RCALIGN;W[r.J]*=2;x[S.length-1]*=2;var p="0",I,t,z,N,n,P,U=0;if(l.fspace){U=r.FSPACE[1];p=e.Em(r.FSPACE[1])}r.RHD=[];r.RH=[];for(var Q=0,K=S.length;Q<K;Q++){var w=S[Q],v=this.data[Q];I=x[Q]/2;N=null;z="0";if(F[Q]!==b.LINES.NONE&&F[Q]!==""){N=r.t+" "+F[Q]}if(N||(o[O]!==b.LINES.NONE&&o[O]!=="")){while(w.length<=r.J){w.push(e.addElement(w.node,"mjx-mtd",null,[["span"]]))}}r.RH[Q]=U+r.H[Q];U=Math.max(0,I);r.RHD[Q]=r.RH[Q]+U+r.D[Q];I=e.Em(U);if(l.fspace){z=e.Em(r.FSPACE[0])}for(var O=0,y=w.length;O<y;O++){var E=(v.type==="mtr"?0:c);var J=v.data[O-E]||{CHTML:e.BBOX.zero()};var k=w[O].style;n=J.CHTML;t=W[O]/2;if(o[O]!==b.LINES.NONE){k.borderRight=r.t+" "+o[O];t-=1/e.em/2}t=e.Em(Math.max(0,t));k.padding=p+" "+t+" 0px "+z;if(N){k.borderBottom=N}z=t;P=(J.rowalign||(this.data[Q]||{}).rowalign||q[Q]);var A=Math.max(1,n.h),C=Math.max(0.2,n.d),h=(r.H[Q]+r.D[Q])-(A+C),u=w[O].firstChild.style;if(P===b.ALIGN.TOP){if(h){u.marginBottom=e.Em(h)}k.verticalAlign="top"}else{if(P===b.ALIGN.BOTTOM){k.verticalAlign="bottom";if(h){u.marginTop=e.Em(h)}}else{if(P===b.ALIGN.CENTER){if(h){u.marginTop=u.marginBottom=e.Em(h/2)}k.verticalAlign="middle"}else{if(A!==r.H[Q]){u.marginTop=e.Em(r.H[Q]-A)}}}}P=(J.columnalign||G[Q][O]||V[O]);if(P!==b.ALIGN.CENTER){k.textAlign=P}}w.node.style.height=e.Em(r.RHD[Q]);p=I}W[r.J]/=2;x[S.length-1]/=2},CHTMLalignV:function(w,k,o){var m,t=k.rows.length,v=k.H,j=k.D,x=k.RSPACE;if(typeof(w.align)!=="string"){w.align=String(w.align)}if(w.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){m=parseInt(RegExp.$3||"0");w.align=RegExp.$1;if(m<0){m+=k.rows.length+1}if(m>t||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q<t;q++){var r=v[q],s=j[q];p+=r+s+x[q];if(m){if(q===m-1){l+=({top:r+s,bottom:0,center:(r+s)/2,baseline:s,axis:u+s})[w.align]+x[q]}if(q>=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;H<B;H++){F=h[H];v=Math.max(o[F],this.CHTMLlength2em(I[F],G));k+=v-o[F];o[F]=v;t[F].style.width=e.Em(v)}E+=k}if(!C){D=s}if(G>E&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;H<B;H++){F=D[H];o[F]+=x;t[F].style.width=e.Em(o[F])}E=G}}}o[c]=r.W[c];r.W=o;r.R=E;if(y){A.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=e.Em(E);A.firstChild.style.width=l.width;A.firstChild.style.margin="auto"}},CHTMLstretchCells:function(x,l){var y=l.rows,w=l.H,k=l.D,m=l.W,t=l.J,s=y.length-1;for(var o=0;o<=s;o++){var z=y[o],q=this.data[o];var p=w[o],r=k[o];for(var n=0;n<=t;n++){var v=z[n],u=q.data[n];if(!u){continue}if(u.CHTML.stretch==="V"){u.CHTMLstretchV(p,r)}else{if(u.CHTML.stretch==="H"){u.CHTMLstretchH(v,m[n])}}}}},CHTMLaddLabels:function(h,k,w,B){var q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(q.indentalignfirst!==b.INDENTALIGN.INDENTALIGN){q.indentalign=q.indentalignfirst}if(q.indentalign===b.INDENTALIGN.AUTO){q.indentalign=a.displayAlign}if(q.indentshiftfirst!==b.INDENTSHIFT.INDENTSHIFT){q.indentshift=q.indentshiftfirst}if(q.indentshift==="auto"){q.indentshift="0"}var z=this.CHTMLlength2em(q.indentshift,e.cwidth);var A=this.CHTMLlength2em(h.minlabelspacing,0.8);var p=A+k.W[c],y=0,D=k.R;var n=this.CHTMLlength2em(a.displayIndent,e.cwidth);var t=(k.CALIGN[c]===b.INDENTALIGN.RIGHT?-1:1);if(q.indentalign===b.INDENTALIGN.CENTER){D+=2*(p-t*(z+n));z+=n}else{if(k.CALIGN[c]===q.indentalign){if(n<0){y=t*n;n=0}z+=t*n;if(p>t*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x<v;x++){if(l[x]&&this.data[x].data[0]){C.appendChild(l[x]);var r=this.data[x].data[0].CHTML;j=k.RH[x]-Math.max(1,r.h);if(j){l[x].firstChild.firstChild.style.marginTop=e.Em(j)}l[x].style.height=e.Em(k.RHD[x])}else{e.addElement(C,"mjx-label",{style:{height:e.Em(k.RHD[x])}})}}w.style.width=this.CHTML.pwidth="100%";w.style.minWidth=this.CHTML.mwidth=e.Em(Math.max(0,D))}});b.mtr.Augment({toCommonHTML:function(l,j){l=this.CHTMLcreateNode(l);this.CHTMLhandleStyle(l);this.CHTMLhandleScale(l);if(!j){j={rows:[],labels:[]}}var n=[];j.rows.push(n);n.node=l;j.labels.push(null);for(var k=0,h=this.data.length;k<h;k++){n.push(this.CHTMLaddChild(l,k,j))}this.CHTMLhandleColor(l);return l}});b.mlabeledtr.Augment({toCommonHTML:function(n,k){n=this.CHTMLcreateNode(n);this.CHTMLhandleStyle(n);this.CHTMLhandleScale(n);if(!k){k={rows:[],labels:[]}}var o=[];k.rows.push(o);o.node=n;var j=e.Element("mjx-label");k.labels.push(j);this.CHTMLaddChild(j,0,k);if(this.data[0]){k.labeled=true}for(var l=1,h=this.data.length;l<h;l++){o.push(this.CHTMLaddChild(n,l,k))}this.CHTMLhandleColor(n);return n}});b.mtd.Augment({toCommonHTML:function(l,i){l=this.CHTMLdefaultNode(l,i);e.addElement(l.firstChild,"mjx-strut");if(this.isEmbellished()){var m=this.CoreMO(),h=this.CHTML;if(m.CHTMLcanStretch("Vertical")){h.stretch="V"}else{if(m.CHTMLcanStretch("Horizontal")){h.stretch="H"}}if(h.stretch){var j=m.Get("minsize",true);if(j){if(h.stretch==="V"){var n=h.h+h.d;if(n){var k=this.CHTMLlength2em(j,n)/n;if(k>1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var g="2.7.9";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,e=MathJax.OutputJax.CommonHTML,d=MathJax.Hub.SplitList;var c=-1,f=1000000;b.mtable.Augment({toCommonHTML:function(l){var m={rows:[],labels:[],labeled:false};l=this.CHTMLdefaultNode(l,{noBBox:true,childOptions:m});var k=e.Element("mjx-table");while(l.firstChild){k.appendChild(l.firstChild)}l.appendChild(k);var h=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","width","side","minlabelspacing","useHeight");var j=e.TEX.min_rule_thickness/e.em;m.t=e.Px(j*this.CHTML.scale,1);this.CHTMLgetBoxSizes(h,m);this.CHTMLgetAttributes(h,m);this.CHTMLadjustCells(h,m);if(h.frame){k.style.border=m.t+" "+h.frame}this.CHTMLalignV(h,m,l);this.CHTMLcolumnWidths(h,m,l);this.CHTMLstretchCells(h,m);if(m.labeled){this.CHTMLaddLabels(h,m,l,k)}var i=this.CHTML;i.w=i.r=m.R;i.h=i.t=m.T-m.B;i.d=i.b=m.B;if(!h.frame&&!i.pwidth){l.style.padding="0 "+e.Em(1/6);i.L=i.R=1/6}this.CHTMLhandleSpace(l);this.CHTMLhandleBBox(l);this.CHTMLhandleColor(l);return l},CHTMLgetBoxSizes:function(z,k){var r=e.FONTDATA.lineH*z.useHeight,t=e.FONTDATA.lineD*z.useHeight;var y=[],h=[],l=[],w=-1,q,n;for(q=0,n=this.data.length;q<n;q++){var B=this.data[q],A=(B.type==="mtr"?0:c);y[q]=r;h[q]=t;for(var p=A,v=B.data.length+A;p<v;p++){if(l[p]==null){l[p]=-f;if(p>w){w=p}}var u=B.data[p-A].CHTML;if(u.h>y[q]){y[q]=u.h}if(u.d>h[q]){h[q]=u.d}if(u.w>l[p]){l[p]=u.w}}}if(z.equalrows){k.HD=true;var x=Math.max.apply(Math,y);var o=Math.max.apply(Math,h);for(q=0,n=y.length;q<n;q++){y[q]=x;h[q]=o}}k.H=y;k.D=h;k.W=l,k.J=w},CHTMLgetAttributes:function(v,j){var l=d(v.columnspacing),x=d(v.rowspacing),t=d(v.columnalign),r=d(v.rowalign),k=d(v.columnlines),w=d(v.rowlines),o=d(v.columnwidth),n=[],q,p,u=j.J,s=j.rows.length-1;for(q=0,p=l.length;q<p;q++){l[q]=this.CHTMLlength2em(l[q])}for(q=0,p=x.length;q<p;q++){x[q]=this.CHTMLlength2em(x[q])}while(l.length<u){l.push(l[l.length-1])}while(t.length<=u){t.push(t[t.length-1])}while(k.length<u){k.push(k[k.length-1])}while(o.length<=u){o.push(o[o.length-1])}while(x.length<s){x.push(x[x.length-1])}while(r.length<=s){r.push(r[r.length-1])}while(w.length<s){w.push(w[w.length-1])}t[c]=(v.side.substr(0,1)==="l"?"left":"right");for(q=0;q<=s;q++){var y=this.data[q];n[q]=[];if(y.rowalign){r[q]=y.rowalign}if(y.columnalign){n[q]=d(y.columnalign);while(n[q].length<=u){n[q].push(n[q][n[q].length-1])}}}var h=d(v.framespacing);if(h.length!=2){h=d(this.defaults.framespacing)}h[0]=Math.max(0,this.CHTMLlength2em(h[0]));h[1]=Math.max(0,this.CHTMLlength2em(h[1]));if(v.columnlines.replace(/none/g,"").replace(/ /g,"")!==""||v.rowlines.replace(/none/g,"").replace(/ /g,"")!==""){v.fspace=true}if(v.frame===b.LINES.NONE){delete v.frame}else{v.fspace=true}if(v.frame){h[0]=Math.max(0,h[0]);h[1]=Math.max(0,h[1])}if(v.fspace){l[u]=h[0];x[s]=h[1]}else{l[u]=x[s]=0}k[u]=w[s]=b.LINES.NONE;j.CSPACE=l;j.RSPACE=x;j.CALIGN=t;j.RALIGN=r;j.CLINES=k;j.RLINES=w;j.CWIDTH=o;j.RCALIGN=n;j.FSPACE=h},CHTMLadjustCells:function(l,r){var S=r.rows,W=r.CSPACE,o=r.CLINES,x=r.RSPACE,F=r.RLINES,V=r.CALIGN,q=r.RALIGN,G=r.RCALIGN;W[r.J]*=2;x[S.length-1]*=2;var p="0",I,t,z,N,n,P,U=0;if(l.fspace){U=r.FSPACE[1];p=e.Em(r.FSPACE[1])}r.RHD=[];r.RH=[];for(var Q=0,K=S.length;Q<K;Q++){var w=S[Q],v=this.data[Q];I=x[Q]/2;N=null;z="0";if(F[Q]!==b.LINES.NONE&&F[Q]!==""){N=r.t+" "+F[Q]}if(N||(o[O]!==b.LINES.NONE&&o[O]!=="")){while(w.length<=r.J){w.push(e.addElement(w.node,"mjx-mtd",null,[["span"]]))}}r.RH[Q]=U+r.H[Q];U=Math.max(0,I);r.RHD[Q]=r.RH[Q]+U+r.D[Q];I=e.Em(U);if(l.fspace){z=e.Em(r.FSPACE[0])}for(var O=0,y=w.length;O<y;O++){var E=(v.type==="mtr"?0:c);var J=v.data[O-E]||{CHTML:e.BBOX.zero()};var k=w[O].style;n=J.CHTML;t=W[O]/2;if(o[O]!==b.LINES.NONE){k.borderRight=r.t+" "+o[O];t-=1/e.em/2}t=e.Em(Math.max(0,t));k.padding=p+" "+t+" 0px "+z;if(N){k.borderBottom=N}z=t;P=(J.rowalign||(this.data[Q]||{}).rowalign||q[Q]);var A=Math.max(1,n.h),C=Math.max(0.2,n.d),h=(r.H[Q]+r.D[Q])-(A+C),u=w[O].firstChild.style;if(P===b.ALIGN.TOP){if(h){u.marginBottom=e.Em(h)}k.verticalAlign="top"}else{if(P===b.ALIGN.BOTTOM){k.verticalAlign="bottom";if(h){u.marginTop=e.Em(h)}}else{if(P===b.ALIGN.CENTER){if(h){u.marginTop=u.marginBottom=e.Em(h/2)}k.verticalAlign="middle"}else{if(A!==r.H[Q]){u.marginTop=e.Em(r.H[Q]-A)}}}}P=(J.columnalign||G[Q][O]||V[O]);if(P!==b.ALIGN.CENTER){k.textAlign=P}}w.node.style.height=e.Em(r.RHD[Q]);p=I}W[r.J]/=2;x[S.length-1]/=2},CHTMLalignV:function(w,k,o){var m,t=k.rows.length,v=k.H,j=k.D,x=k.RSPACE;if(typeof(w.align)!=="string"){w.align=String(w.align)}if(w.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){m=parseInt(RegExp.$3||"0");w.align=RegExp.$1;if(m<0){m+=k.rows.length+1}if(m>t||m<=0){m=null}}else{w.align=this.defaults.align}var p=0,l=0,u=e.TEX.axis_height;if(w.fspace){p+=k.FSPACE[1]}if(w.frame){p+=2/e.em;l+=1/e.em}for(var q=0;q<t;q++){var r=v[q],s=j[q];p+=r+s+x[q];if(m){if(q===m-1){l+=({top:r+s,bottom:0,center:(r+s)/2,baseline:s,axis:u+s})[w.align]+x[q]}if(q>=m){l+=r+s+x[q]}}}if(!m){l=({top:p,bottom:0,center:p/2,baseline:p/2,axis:p/2-u})[w.align]}if(l){o.style.verticalAlign=e.Em(-l)}k.T=p;k.B=l},CHTMLcolumnWidths:function(l,r,A){var I=r.CWIDTH,K=r.CSPACE,u=r.J,F;var G=0,n=false,y=l.width.match(/%$/);var H,B,v;if(l.width!=="auto"&&!y){G=Math.max(0,this.CHTMLlength2em(l.width,r.R));n=true}if(l.equalcolumns){if(y){var z=e.Percent(1/(u+1));for(F=0;F<=u;F++){I[F]=z}}else{v=Math.max.apply(Math,r.W);if(l.width!=="auto"){var q=(l.fspace?r.FSPACE[0]+(l.frame?2/e.em:0):0);for(F=0;F<=u;F++){q+=K[F]}v=Math.max((G-q)/(u+1),v)}v=e.Em(v);for(F=0;F<=u;F++){I[F]=v}}n=true}var E=0;if(l.fspace){E=r.FSPACE[0]}var s=[],D=[],h=[],o=[];var t=r.rows[0];for(F=0;F<=u;F++){o[F]=r.W[F];if(I[F]==="auto"){s.push(F)}else{if(I[F]==="fit"){D.push(F)}else{if(I[F].match(/%$/)){h.push(F)}else{o[F]=this.CHTMLlength2em(I[F],o[F])}}}E+=o[F]+K[F];if(t[F]){t[F].style.width=e.Em(o[F])}}if(l.frame){E+=2/e.em}var C=(D.length>0);if(n||(y&&C)){if(y){for(F=0;F<=u;F++){cell=t[F].style;if(I[F]==="auto"&&!C){cell.width=""}else{if(I[F]==="fit"){cell.width=""}else{if(I[F].match(/%$/)){cell.width=I[F]}else{cell.minWidth=cell.maxWidth=cell.width}}}}}else{if(G>E){var k=0;for(H=0,B=h.length;H<B;H++){F=h[H];v=Math.max(o[F],this.CHTMLlength2em(I[F],G));k+=v-o[F];o[F]=v;t[F].style.width=e.Em(v)}E+=k}if(!C){D=s}if(G>E&&D.length){var x=(G-E)/D.length;for(H=0,B=D.length;H<B;H++){F=D[H];o[F]+=x;t[F].style.width=e.Em(o[F])}E=G}}}o[c]=r.W[c];r.W=o;r.R=E;if(y){A.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=e.Em(E);A.firstChild.style.width=l.width;A.firstChild.style.margin="auto"}},CHTMLstretchCells:function(x,l){var y=l.rows,w=l.H,k=l.D,m=l.W,t=l.J,s=y.length-1;for(var o=0;o<=s;o++){var z=y[o],q=this.data[o];var p=w[o],r=k[o];for(var n=0;n<=t;n++){var v=z[n],u=q.data[n];if(!u){continue}if(u.CHTML.stretch==="V"){u.CHTMLstretchV(p,r)}else{if(u.CHTML.stretch==="H"){u.CHTMLstretchH(v,m[n])}}}}},CHTMLaddLabels:function(h,k,w,B){var q=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(q.indentalignfirst!==b.INDENTALIGN.INDENTALIGN){q.indentalign=q.indentalignfirst}if(q.indentalign===b.INDENTALIGN.AUTO){q.indentalign=a.displayAlign}if(q.indentshiftfirst!==b.INDENTSHIFT.INDENTSHIFT){q.indentshift=q.indentshiftfirst}if(q.indentshift==="auto"){q.indentshift="0"}var z=this.CHTMLlength2em(q.indentshift,e.cwidth);var A=this.CHTMLlength2em(h.minlabelspacing,0.8);var p=A+k.W[c],y=0,D=k.R;var n=this.CHTMLlength2em(a.displayIndent,e.cwidth);var t=(k.CALIGN[c]===b.INDENTALIGN.RIGHT?-1:1);if(q.indentalign===b.INDENTALIGN.CENTER){D+=2*(p-t*(z+n));z+=n}else{if(k.CALIGN[c]===q.indentalign){if(n<0){y=t*n;n=0}z+=t*n;if(p>t*z){z=t*p}z+=y;z*=t;D+=z}else{D+=p-t*z+n;z-=t*n;z*=-t}}var o=e.addElement(w,"mjx-box",{style:{width:"100%","text-align":q.indentalign}});o.appendChild(B);var C=e.Element("mjx-itable");B.style.display="inline-table";if(!B.style.width){B.style.width="auto"}C.style.verticalAlign="top";B.style.verticalAlign=e.Em(k.T-k.B-k.H[0]);w.style.verticalAlign="";if(z){if(q.indentalign===b.INDENTALIGN.CENTER){B.style.marginLeft=e.Em(z);B.style.marginRight=e.Em(-z)}else{var u="margin"+(q.indentalign===b.INDENTALIGN.RIGHT?"Right":"Left");B.style[u]=e.Em(z)}}if(k.CALIGN[c]==="left"){w.insertBefore(C,o);C.style.marginRight=e.Em(-k.W[c]-y);if(y){C.style.marginLeft=e.Em(y)}}else{w.appendChild(C);C.style.marginLeft=e.Em(-k.W[c]+y)}var l=k.labels,j=0;if(h.fspace){j=k.FSPACE[0]+(h.frame?1/e.em:0)}for(var x=0,v=l.length;x<v;x++){if(l[x]&&this.data[x].data[0]){C.appendChild(l[x]);var r=this.data[x].data[0].CHTML;j=k.RH[x]-Math.max(1,r.h);if(j){l[x].firstChild.firstChild.style.marginTop=e.Em(j)}l[x].style.height=e.Em(k.RHD[x])}else{e.addElement(C,"mjx-label",{style:{height:e.Em(k.RHD[x])}})}}w.style.width=this.CHTML.pwidth="100%";w.style.minWidth=this.CHTML.mwidth=e.Em(Math.max(0,D))}});b.mtr.Augment({toCommonHTML:function(l,j){l=this.CHTMLcreateNode(l);this.CHTMLhandleStyle(l);this.CHTMLhandleScale(l);if(!j){j={rows:[],labels:[]}}var n=[];j.rows.push(n);n.node=l;j.labels.push(null);for(var k=0,h=this.data.length;k<h;k++){n.push(this.CHTMLaddChild(l,k,j))}this.CHTMLhandleColor(l);return l}});b.mlabeledtr.Augment({toCommonHTML:function(n,k){n=this.CHTMLcreateNode(n);this.CHTMLhandleStyle(n);this.CHTMLhandleScale(n);if(!k){k={rows:[],labels:[]}}var o=[];k.rows.push(o);o.node=n;var j=e.Element("mjx-label");k.labels.push(j);this.CHTMLaddChild(j,0,k);if(this.data[0]){k.labeled=true}for(var l=1,h=this.data.length;l<h;l++){o.push(this.CHTMLaddChild(n,l,k))}this.CHTMLhandleColor(n);return n}});b.mtd.Augment({toCommonHTML:function(l,i){l=this.CHTMLdefaultNode(l,i);e.addElement(l.firstChild,"mjx-strut");if(this.isEmbellished()){var m=this.CoreMO(),h=this.CHTML;if(m.CHTMLcanStretch("Vertical")){h.stretch="V"}else{if(m.CHTMLcanStretch("Horizontal")){h.stretch="H"}}if(h.stretch){var j=m.Get("minsize",true);if(j){if(h.stretch==="V"){var n=h.h+h.d;if(n){var k=this.CHTMLlength2em(j,n)/n;if(k>1){h.h*=k;h.d*=k}}}else{h.w=Math.max(h.w,this.CHTMLlength2em(j,h.w))}}}}return l}});MathJax.Hub.Startup.signal.Post("CommonHTML mtable Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/mtable.js")});
diff --git a/jax/output/CommonHTML/autoload/multiline.js b/jax/output/CommonHTML/autoload/multiline.js
index 0745f3c388..9d81c58bf9 100644
--- a/jax/output/CommonHTML/autoload/multiline.js
+++ b/jax/output/CommonHTML/autoload/multiline.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/autoload/multiline.js
+ *  /MathJax-v2/jax/output/CommonHTML/autoload/multiline.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var e="2.7.6";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,c=MathJax.OutputJax.CommonHTML;var g=b.mo().With({CHTML:c.BBOX.empty()});var f={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var d={linebreakstyle:"after"};b.mbase.Augment({CHTMLlinebreakPenalty:f,CHTMLmultiline:function(k){var q=this;while(q.inferred||(q.parent&&q.parent.type==="mrow"&&q.parent.isEmbellished())){q=q.parent}var o=((q.type==="math"&&q.Get("display")==="block")||q.type==="mtd");q.isMultiline=true;var r=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(r.linebreakstyle===b.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){r.linebreakstyle=this.Get("infixlinebreakstyle")}r.lineleading=this.CHTMLlength2em(r.lineleading,0.5);c.BBOX.empty(this.CHTML);var p=c.addElement(k,"mjx-stack");var h={BBOX:this.CHTML,n:0,Y:0,scale:(this.CHTML.scale||1),isTop:o,values:{},VALUES:r},n=this.CHTMLgetAlign(h,{}),j=this.CHTMLgetShift(h,{},n),i=[],l={index:[],penalty:f.nobreak,w:0,W:j,shift:j,scanW:j,nest:0},m=false;while(this.CHTMLbetterBreak(l,h,true)&&(l.scanW>=c.linebreakWidth||l.penalty===f.newline)){this.CHTMLaddLine(p,i,l.index,h,l.values,m);i=l.index.slice(0);m=true;n=this.CHTMLgetAlign(h,l.values);j=this.CHTMLgetShift(h,l.values,n);l.W=l.shift=l.scanW=j;l.penalty=f.nobreak}h.isLast=true;this.CHTMLaddLine(p,i,[],h,d,m);k.style.width=p.style.width=this.CHTML.pwidth="100%";this.CHTML.mwidth=c.Em(this.CHTML.w);this.CHTML.isMultiline=q.CHTML.isMultiline=true;p.style.verticalAlign=c.Em(h.d-this.CHTML.d);return k},CHTMLbetterBreak:function(l,h,s){if(this.isToken){return false}if(this.isEmbellished()){l.embellished=this;return this.CoreMO().CHTMLbetterBreak(l,h)}if(this.linebreakContainer){return false}var r=l.index.slice(0),p=l.index.shift(),o=this.data.length,n,t,k,q=(l.index.length>0),j=false;if(p==null){p=-1}if(!q){p++;l.W+=l.w;l.w=0}k=l.scanW=l.W;l.nest++;while(p<o&&(l.scanW<f.maxwidth*c.linebreakWidth||l.w===0)){if(this.data[p]){if(this.data[p].CHTMLbetterBreak(l,h)){j=true;r=[p].concat(l.index);n=l.W;t=l.w;if(l.penalty===f.newline){l.index=r;if(l.nest){l.nest--}return true}}k=(q?l.scanW:this.CHTMLaddWidth(p,l,k))}l.index=[];p++;q=false}if(s&&j){g.parent=this.parent;g.inherit=this.inherit;if(g.CHTMLbetterBreak(l,h)){j=false;r=l.index}}if(l.nest){l.nest--}l.index=r;if(j){l.W=n;l.w=t}return j},CHTMLaddWidth:function(h,k,j){if(this.data[h]){var l=this.data[h].CHTML;j+=(l.w+(l.L||0)+(l.R||0))*(l.scale||1);k.W=k.scanW=j;k.w=0}return j},CHTMLaddLine:function(s,j,o,h,t,q){var n=c.addElement(s,"mjx-block",{},[["mjx-box"]]),v=n.firstChild;var u=h.bbox=c.BBOX.empty();h.first=q;h.last=true;this.CHTMLmoveLine(j,o,v,h,t);u.clean();var r=this.CHTMLgetAlign(h,t),k=this.CHTMLgetShift(h,t,r,true);var m=0;if(h.n>0){var p=c.FONTDATA.baselineskip;var l=(h.values.lineleading==null?h.VALUES:h.values).lineleading*h.scale;var i=h.Y;h.Y-=Math.max(p,h.d+u.h+l);m=i-h.Y-h.d-u.h}if(k){v.style.margin="0 "+c.Em(-k)+" 0 "+c.Em(k)}if(r!==b.INDENTALIGN.LEFT){n.style.textAlign=r}if(m){n.style.paddingTop=c.Em(m)}h.BBOX.combine(u,k,h.Y);h.d=h.bbox.d;h.values=t;h.n++},CHTMLgetAlign:function(k,h){var l=h,i=k.values,j=k.VALUES,m;if(k.n===0){m=l.indentalignfirst||i.indentalignfirst||j.indentalignfirst}else{if(k.isLast){m=i.indentalignlast||j.indentalignlast}else{m=i.indentalign||j.indentalign}}if(m===b.INDENTALIGN.INDENTALIGN){m=i.indentalign||j.indentalign}if(m===b.INDENTALIGN.AUTO){m=(k.isTop?a.displayAlign:b.INDENTALIGN.LEFT)}return m},CHTMLgetShift:function(h,p,n,l){var o=p,m=h.values,i=h.VALUES,j;if(h.n===0){j=o.indentshiftfirst||m.indentshiftfirst||i.indentshiftfirst}else{if(h.isLast){j=m.indentshiftlast||i.indentshiftlast}else{j=m.indentshift||i.indentshift}}if(j===b.INDENTSHIFT.INDENTSHIFT){j=m.indentshift||i.indentshift}if(j==="auto"||j===""){j="0"}j=this.CHTMLlength2em(j,c.cwidth);if(h.isTop&&a.displayIndent!=="0"){var k=this.CHTMLlength2em(a.displayIndent,c.cwidth);j+=(n===b.INDENTALIGN.RIGHT?-k:k)}return(n===b.INDENTALIGN.RIGHT&&!l?-j:j)},CHTMLmoveLine:function(q,h,o,p,k){var m=q[0],l=h[0];if(m==null){m=-1}if(l==null){l=this.data.length-1}if(m===l&&q.length>1){this.data[m].CHTMLmoveSlice(q.slice(1),h.slice(1),o,p,k,"marginLeft")}else{var n=p.last;p.last=false;while(m<l){if(this.data[m]){if(q.length<=1){this.data[m].CHTMLmoveNode(o,p,k)}else{this.data[m].CHTMLmoveSlice(q.slice(1),[],o,p,k,"marginLeft")}}m++;p.first=false;q=[]}p.last=n;if(this.data[m]){if(h.length<=1){this.data[m].CHTMLmoveNode(o,p,k)}else{this.data[m].CHTMLmoveSlice([],h.slice(1),o,p,k,"marginRight")}}}},CHTMLmoveSlice:function(n,h,j,l,i,k){var m=this.CHTMLcreateSliceNode(j);this.CHTMLmoveLine(n,h,m,l,i);if(m.style[k]){m.style[k]=""}if(this.CHTML.L){if(k!=="marginLeft"){l.bbox.w+=this.CHTML.L}else{m.className=m.className.replace(/ MJXc-space\d/,"")}}if(this.CHTML.R&&k!=="marginRight"){l.bbox.w+=this.CHTML.R}if(h.length===0){j=this.CHTMLnodeElement();if(this.href){j=j.parentNode}j.parentNode.removeChild(j);j.nextMathJaxNode.id=j.id}return m},CHTMLcreateSliceNode:function(j){var i=this.CHTMLnodeElement(),l=0;if(this.href){i=i.parentNode}var h=i;while(h.nextMathJaxNode){h=h.nextMathJaxNode;l++}var k=i.cloneNode(false);h.nextMathJaxNode=k;k.nextMathJaxNode=null;k.id+="-MJX-Continue-"+l;return j.appendChild(k)},CHTMLmoveNode:function(h,k,i){if(!(k.first||k.last)||(k.first&&k.values.linebreakstyle===b.LINEBREAKSTYLE.BEFORE)||(k.last&&i.linebreakstyle===b.LINEBREAKSTYLE.AFTER)){var j=this.CHTMLnodeElement();if(this.href){j=j.parentNode}h.appendChild(j);if(this.CHTML.pwidth&&!h.style.width){h.style.width=this.CHTML.pwidth}if(k.last){j.style.marginRight=""}if(k.first||k.nextIsFirst){j.style.marginLeft="";this.CHTML.L=0;j.className=j.className.replace(/ MJXc-space\d/,"")}if(k.first&&this.CHTML.w===0){k.nextIsFirst=true}else{delete k.nextIsFirst}k.bbox.combine(this.CHTML,k.bbox.w,0)}}});b.mfenced.Augment({CHTMLbetterBreak:function(n,h){var v=n.index.slice(0),t=n.index.shift(),q=this.data.length,p,x,o,u=(n.index.length>0),l=false;if(t==null){t=-1}if(!u){t++;n.W+=n.w;n.w=0}o=n.scanW=n.W;n.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(q){this.dataI.push(0)}for(var s=1;s<q;s++){if(this.data["sep"+s]){this.dataI.push("sep"+s)}this.dataI.push(s)}if(this.data.close){this.dataI.push("close")}}q=this.dataI.length;while(t<q&&(n.scanW<f.maxwidth*c.linebreakWidth||n.w===0)){var r=this.dataI[t];if(this.data[r]){if(this.data[r].CHTMLbetterBreak(n,h)){l=true;v=[t].concat(n.index);p=n.W;x=n.w;if(n.penalty===f.newline){n.index=v;if(n.nest){n.nest--}return true}}o=(u?n.scanW:this.CHTMLaddWidth(t,n,o))}n.index=[];t++;u=false}if(n.nest){n.nest--}n.index=v;if(l){n.W=p;n.w=x}return l},CHTMLmoveLine:function(l,o,m,h,s){var q=l[0],p=o[0];if(q==null){q=-1}if(p==null){p=this.dataI.length-1}if(q===p&&l.length>1){this.data[this.dataI[q]].CHTMLmoveSlice(l.slice(1),o.slice(1),m,h,s,"marginLeft")}else{var r=h.last;h.last=false;var n=this.dataI[q];while(q<p){if(this.data[n]){if(l.length<=1){this.data[n].CHTMLmoveNode(m,h,s)}else{this.data[n].CHTMLmoveSlice(l.slice(1),[],m,h,s,"marginLeft")}}q++;n=this.dataI[q];h.first=false;l=[]}h.last=r;if(this.data[n]){if(o.length<=1){this.data[n].CHTMLmoveNode(m,h,s)}else{this.data[n].CHTMLmoveSlice([],o.slice(1),m,h,s,"marginRight")}}}}});b.msubsup.Augment({CHTMLbetterBreak:function(k,h){if(!this.data[this.base]){return false}var p=k.index.slice(0),n=k.index.shift(),m,q,l,o=(k.index.length>0),j=false;if(!o){k.W+=k.w;k.w=0}l=k.scanW=k.W;if(n==null){this.CHTML.baseW=this.data[this.base].CHTML.w;this.CHTML.dw=this.CHTML.w-this.CHTML.baseW}if(this.data[this.base].CHTMLbetterBreak(k,h)){j=true;p=[this.base].concat(k.index);m=k.W;q=k.w;if(k.penalty===f.newline){j=o=true}}if(!o){this.CHTMLaddWidth(this.base,k,l)}k.scanW+=this.CHTML.dw;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=q;k.index=p}return j},CHTMLmoveLine:function(j,n,m,i,r){if(this.data[this.base]){var k=c.addElement(m,"mjx-base");if(j.length>1){this.data[this.base].CHTMLmoveSlice(j.slice(1),n.slice(1),k,i,r,"marginLeft")}else{if(n.length<=1){this.data[this.base].CHTMLmoveNode(k,i,r)}else{this.data[this.base].CHTMLmoveSlice([],n.slice(1),k,i,r,"marginRight")}}}if(n.length===0){var l=this.CHTMLnodeElement(),p=c.getNode(l,"mjx-stack"),o=c.getNode(l,"mjx-sup"),h=c.getNode(l,"mjx-sub");if(p){m.appendChild(p)}else{if(o){m.appendChild(o)}else{if(h){m.appendChild(h)}}}var q=i.bbox.w,s;if(o){s=this.data[this.sup].CHTML;i.bbox.combine(s,q,s.Y)}if(h){s=this.data[this.sub].CHTML;i.bbox.combine(s,q,s.Y)}}}});b.mmultiscripts.Augment({CHTMLbetterBreak:function(l,i){if(!this.data[this.base]){return false}var p=l.index.slice(0);l.index.shift();var n,q,m,o=(l.index.length>0),k=false;if(!o){l.W+=l.w;l.w=0}l.scanW=l.W;var r=this.CHTML,j=this.data[this.base].CHTML;var h=r.w-j.w-(r.X||0);l.scanW+=r.X||0;m=l.scanW;if(this.data[this.base].CHTMLbetterBreak(l,i)){k=true;p=[this.base].concat(l.index);n=l.W;q=l.w;if(l.penalty===f.newline){k=o=true}}if(!o){this.CHTMLaddWidth(this.base,l,m)}l.scanW+=h;l.W=l.scanW;l.index=[];if(k){l.W=n;l.w=q;l.index=p}return k},CHTMLmoveLine:function(m,p,o,j,v){var n,i=this.CHTMLbbox,u;if(m.length<1){n=this.CHTMLnodeElement();var r=c.getNode(n,"mjx-prestack"),s=c.getNode(n,"mjx-presup"),l=c.getNode(n,"mjx-presub");if(r){o.appendChild(r)}else{if(s){o.appendChild(s)}else{if(l){o.appendChild(l)}}}u=j.bbox.w;if(s){j.bbox.combine(i.presup,u+i.presup.X,i.presup.Y)}if(l){j.bbox.combine(i.presub,u+i.presub.X,i.presub.Y)}}if(this.data[this.base]){var k=c.addElement(o,"mjx-base");if(m.length>1){this.data[this.base].CHTMLmoveSlice(m.slice(1),p.slice(1),k,j,v,"marginLeft")}else{if(p.length<=1){this.data[this.base].CHTMLmoveNode(k,j,v)}else{this.data[this.base].CHTMLmoveSlice([],p.slice(1),k,j,v,"marginRight")}}}if(p.length===0){n=this.CHTMLnodeElement();var t=c.getNode(n,"mjx-stack"),q=c.getNode(n,"mjx-sup"),h=c.getNode(n,"mjx-sub");if(t){o.appendChild(t)}else{if(q){o.appendChild(q)}else{if(h){o.appendChild(h)}}}u=j.bbox.w;if(q){j.bbox.combine(i.sup,u,i.sup.Y)}if(h){j.bbox.combine(i.sub,u,i.sub.Y)}}}});b.mo.Augment({CHTMLbetterBreak:function(j,h){if(j.values&&j.values.id===this.CHTMLnodeID){return false}var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(p.linebreakstyle===b.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}if(p.texClass===b.TEXCLASS.OPEN){j.nest++}if(p.texClass===b.TEXCLASS.CLOSE&&j.nest){j.nest--}var k=j.scanW;delete j.embellished;var o=this.CHTML.w+(this.CHTML.L||0)+(this.CHTML.R||0);if(p.linebreakstyle===b.LINEBREAKSTYLE.AFTER){k+=o;o=0}if(k-j.shift===0&&p.linebreak!==b.LINEBREAK.NEWLINE){return false}var l=c.linebreakWidth-k;if(h.n===0&&(p.indentshiftfirst!==h.VALUES.indentshiftfirst||p.indentalignfirst!==h.VALUES.indentalignfirst)){var m=this.CHTMLgetAlign(h,p),i=this.CHTMLgetShift(h,p,m);l+=(j.shift-i)}var n=Math.floor(l/c.linebreakWidth*1000);if(n<0){n=f.toobig-3*n}if(p.fence){n+=f.fence}if((p.linebreakstyle===b.LINEBREAKSTYLE.AFTER&&p.texClass===b.TEXCLASS.OPEN)||p.texClass===b.TEXCLASS.CLOSE){n+=f.close}n+=j.nest*f.nestfactor;var q=f[p.linebreak||b.LINEBREAK.AUTO]||0;if(!MathJax.Object.isArray(q)){if(q||l>=0){n=q*j.nest}}else{n=Math.max(1,n+q[0]*j.nest)}if(n>=j.penalty){return false}j.penalty=n;j.values=p;j.W=k;j.w=o;p.lineleading=this.CHTMLlength2em(p.lineleading,h.VALUES.lineleading);p.id=this.CHTMLnodeID;return true}});b.mspace.Augment({CHTMLbetterBreak:function(i,h){if(i.values&&i.values.id===this.CHTMLnodeID){return false}var o=this.getValues("linebreak");var l=o.linebreak;if(!l||this.hasDimAttr()){l=b.LINEBREAK.AUTO}var j=i.scanW,n=this.CHTML.w+(this.CHTML.L||0)+(this.CHTML.R||0);if(j-i.shift===0){return false}var k=c.linebreakWidth-j;var m=Math.floor(k/c.linebreakWidth*1000);if(m<0){m=f.toobig-3*m}m+=i.nest*f.nestfactor;var p=f[l]||0;if(l===b.LINEBREAK.AUTO&&n>=f.spacelimit&&!this.mathbackground&&!this.background){p=[(n+f.spaceoffset)*f.spacefactor]}if(!MathJax.Object.isArray(p)){if(p||k>=0){m=p*i.nest}}else{m=Math.max(1,m+p[0]*i.nest)}if(m>=i.penalty){return false}i.penalty=m;i.values=o;i.W=j;i.w=n;o.lineleading=h.VALUES.lineleading;o.linebreakstyle="before";o.id=this.CHTMLnodeID;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){b.TeXmathchoice.Augment({CHTMLbetterBreak:function(i,h){return this.Core().CHTMLbetterBreak(i,h)},CHTMLmoveLine:function(l,h,j,k,i){return this.Core().CHTMLmoveSlice(l,h,j,k,i)}})});b.maction.Augment({CHTMLbetterBreak:function(i,h){return this.Core().CHTMLbetterBreak(i,h)},CHTMLmoveLine:function(l,h,j,k,i){return this.Core().CHTMLmoveSlice(l,h,j,k,i)}});b.semantics.Augment({CHTMLbetterBreak:function(i,h){return(this.data[0]?this.data[0].CHTMLbetterBreak(i,h):false)},CHTMLmoveLine:function(l,h,j,k,i){return(this.data[0]?this.data[0].CHTMLmoveSlice(l,h,j,k,i):null)}});MathJax.Hub.Startup.signal.Post("CommonHTML multiline Ready");MathJax.Ajax.loadComplete(c.autoloadDir+"/multiline.js")});
+MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){var e="2.7.9";var b=MathJax.ElementJax.mml,a=MathJax.Hub.config,c=MathJax.OutputJax.CommonHTML;var g=b.mo().With({CHTML:c.BBOX.empty()});var f={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var d={linebreakstyle:"after"};b.mbase.Augment({CHTMLlinebreakPenalty:f,CHTMLmultiline:function(k){var q=this;while(q.inferred||(q.parent&&q.parent.type==="mrow"&&q.parent.isEmbellished())){q=q.parent}var o=((q.type==="math"&&q.Get("display")==="block")||q.type==="mtd");q.isMultiline=true;var r=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(r.linebreakstyle===b.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){r.linebreakstyle=this.Get("infixlinebreakstyle")}r.lineleading=this.CHTMLlength2em(r.lineleading,0.5);c.BBOX.empty(this.CHTML);var p=c.addElement(k,"mjx-stack");var h={BBOX:this.CHTML,n:0,Y:0,scale:(this.CHTML.scale||1),isTop:o,values:{},VALUES:r},n=this.CHTMLgetAlign(h,{}),j=this.CHTMLgetShift(h,{},n),i=[],l={index:[],penalty:f.nobreak,w:0,W:j,shift:j,scanW:j,nest:0},m=false;while(this.CHTMLbetterBreak(l,h,true)&&(l.scanW>=c.linebreakWidth||l.penalty===f.newline)){this.CHTMLaddLine(p,i,l.index,h,l.values,m);i=l.index.slice(0);m=true;n=this.CHTMLgetAlign(h,l.values);j=this.CHTMLgetShift(h,l.values,n);l.W=l.shift=l.scanW=j;l.penalty=f.nobreak}h.isLast=true;this.CHTMLaddLine(p,i,[],h,d,m);if(q.type==="math"){k.style.width=p.style.width=this.CHTML.pwidth="100%"}this.CHTML.mwidth=c.Em(this.CHTML.w);this.CHTML.isMultiline=q.CHTML.isMultiline=true;p.style.verticalAlign=c.Em(h.d-this.CHTML.d);return k},CHTMLbetterBreak:function(l,h,s){if(this.isToken){return false}if(this.isEmbellished()){l.embellished=this;return this.CoreMO().CHTMLbetterBreak(l,h)}if(this.linebreakContainer){return false}var r=l.index.slice(0),p=l.index.shift(),o=this.data.length,n,t,k,q=(l.index.length>0),j=false;if(p==null){p=-1}if(!q){p++;l.W+=l.w;l.w=0}k=l.scanW=l.W;l.nest++;while(p<o&&(l.scanW<f.maxwidth*c.linebreakWidth||l.w===0)){if(this.data[p]){if(this.data[p].CHTMLbetterBreak(l,h)){j=true;r=[p].concat(l.index);n=l.W;t=l.w;if(l.penalty===f.newline){l.index=r;if(l.nest){l.nest--}return true}}k=(q?l.scanW:this.CHTMLaddWidth(p,l,k))}l.index=[];p++;q=false}if(s&&j){g.parent=this.parent;g.inherit=this.inherit;if(g.CHTMLbetterBreak(l,h)){j=false;r=l.index}}if(l.nest){l.nest--}l.index=r;if(j){l.W=n;l.w=t}return j},CHTMLaddWidth:function(h,k,j){if(this.data[h]){var l=this.data[h].CHTML;j+=(l.w+(l.L||0)+(l.R||0))*(l.scale||1);k.W=k.scanW=j;k.w=0}return j},CHTMLaddLine:function(s,j,o,h,t,q){var n=c.addElement(s,"mjx-block",{},[["mjx-box"]]),v=n.firstChild;var u=h.bbox=c.BBOX.empty();h.first=q;h.last=true;this.CHTMLmoveLine(j,o,v,h,t);u.clean();var r=this.CHTMLgetAlign(h,t),k=this.CHTMLgetShift(h,t,r,true);var m=0;if(h.n>0){var p=c.FONTDATA.baselineskip;var l=(h.values.lineleading==null?h.VALUES:h.values).lineleading*h.scale;var i=h.Y;h.Y-=Math.max(p,h.d+u.h+l);m=i-h.Y-h.d-u.h}if(k){v.style.margin="0 "+c.Em(-k)+" 0 "+c.Em(k)}if(r!==b.INDENTALIGN.LEFT){n.style.textAlign=r}if(m){n.style.paddingTop=c.Em(m)}h.BBOX.combine(u,k,h.Y);h.d=h.bbox.d;h.values=t;h.n++},CHTMLgetAlign:function(k,h){var l=h,i=k.values,j=k.VALUES,m;if(k.n===0){m=l.indentalignfirst||i.indentalignfirst||j.indentalignfirst}else{if(k.isLast){m=i.indentalignlast||j.indentalignlast}else{m=i.indentalign||j.indentalign}}if(m===b.INDENTALIGN.INDENTALIGN){m=i.indentalign||j.indentalign}if(m===b.INDENTALIGN.AUTO){m=(k.isTop?a.displayAlign:b.INDENTALIGN.LEFT)}return m},CHTMLgetShift:function(h,p,n,l){var o=p,m=h.values,i=h.VALUES,j;if(h.n===0){j=o.indentshiftfirst||m.indentshiftfirst||i.indentshiftfirst}else{if(h.isLast){j=m.indentshiftlast||i.indentshiftlast}else{j=m.indentshift||i.indentshift}}if(j===b.INDENTSHIFT.INDENTSHIFT){j=m.indentshift||i.indentshift}if(j==="auto"||j===""){j="0"}j=this.CHTMLlength2em(j,c.cwidth);if(h.isTop&&a.displayIndent!=="0"){var k=this.CHTMLlength2em(a.displayIndent,c.cwidth);j+=(n===b.INDENTALIGN.RIGHT?-k:k)}return(n===b.INDENTALIGN.RIGHT&&!l?-j:j)},CHTMLmoveLine:function(q,h,o,p,k){var m=q[0],l=h[0];if(m==null){m=-1}if(l==null){l=this.data.length-1}if(m===l&&q.length>1){this.data[m].CHTMLmoveSlice(q.slice(1),h.slice(1),o,p,k,"marginLeft")}else{var n=p.last;p.last=false;while(m<l){if(this.data[m]){if(q.length<=1){this.data[m].CHTMLmoveNode(o,p,k)}else{this.data[m].CHTMLmoveSlice(q.slice(1),[],o,p,k,"marginLeft")}}m++;p.first=false;q=[]}p.last=n;if(this.data[m]){if(h.length<=1){this.data[m].CHTMLmoveNode(o,p,k)}else{this.data[m].CHTMLmoveSlice([],h.slice(1),o,p,k,"marginRight")}}}},CHTMLmoveSlice:function(n,h,j,l,i,k){var m=this.CHTMLcreateSliceNode(j);this.CHTMLmoveLine(n,h,m,l,i);if(m.style[k]){m.style[k]=""}if(this.CHTML.L){if(k!=="marginLeft"){l.bbox.w+=this.CHTML.L}else{m.className=m.className.replace(/ MJXc-space\d/,"")}}if(this.CHTML.R&&k!=="marginRight"){l.bbox.w+=this.CHTML.R}if(h.length===0){j=this.CHTMLnodeElement();if(this.href){j=j.parentNode}j.parentNode.removeChild(j);j.nextMathJaxNode.id=j.id}return m},CHTMLcreateSliceNode:function(j){var i=this.CHTMLnodeElement(),l=0;if(this.href){i=i.parentNode}var h=i;while(h.nextMathJaxNode){h=h.nextMathJaxNode;l++}var k=i.cloneNode(false);h.nextMathJaxNode=k;k.nextMathJaxNode=null;k.id+="-MJX-Continue-"+l;return j.appendChild(k)},CHTMLmoveNode:function(h,k,i){if(!(k.first||k.last)||(k.first&&k.values.linebreakstyle===b.LINEBREAKSTYLE.BEFORE)||(k.last&&i.linebreakstyle===b.LINEBREAKSTYLE.AFTER)){var j=this.CHTMLnodeElement();if(this.href){j=j.parentNode}h.appendChild(j);if(this.CHTML.pwidth&&!h.style.width){h.style.width=this.CHTML.pwidth}if(k.last){j.style.marginRight=""}if(k.first||k.nextIsFirst){j.style.marginLeft="";this.CHTML.L=0;j.className=j.className.replace(/ MJXc-space\d/,"")}if(k.first&&this.CHTML.w===0){k.nextIsFirst=true}else{delete k.nextIsFirst}k.bbox.combine(this.CHTML,k.bbox.w,0)}}});b.mfenced.Augment({CHTMLbetterBreak:function(n,h){var v=n.index.slice(0),t=n.index.shift(),q=this.data.length,p,x,o,u=(n.index.length>0),l=false;if(t==null){t=-1}if(!u){t++;n.W+=n.w;n.w=0}o=n.scanW=n.W;n.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(q){this.dataI.push(0)}for(var s=1;s<q;s++){if(this.data["sep"+s]){this.dataI.push("sep"+s)}this.dataI.push(s)}if(this.data.close){this.dataI.push("close")}}q=this.dataI.length;while(t<q&&(n.scanW<f.maxwidth*c.linebreakWidth||n.w===0)){var r=this.dataI[t];if(this.data[r]){if(this.data[r].CHTMLbetterBreak(n,h)){l=true;v=[t].concat(n.index);p=n.W;x=n.w;if(n.penalty===f.newline){n.index=v;if(n.nest){n.nest--}return true}}o=(u?n.scanW:this.CHTMLaddWidth(t,n,o))}n.index=[];t++;u=false}if(n.nest){n.nest--}n.index=v;if(l){n.W=p;n.w=x}return l},CHTMLmoveLine:function(l,o,m,h,s){var q=l[0],p=o[0];if(q==null){q=-1}if(p==null){p=this.dataI.length-1}if(q===p&&l.length>1){this.data[this.dataI[q]].CHTMLmoveSlice(l.slice(1),o.slice(1),m,h,s,"marginLeft")}else{var r=h.last;h.last=false;var n=this.dataI[q];while(q<p){if(this.data[n]){if(l.length<=1){this.data[n].CHTMLmoveNode(m,h,s)}else{this.data[n].CHTMLmoveSlice(l.slice(1),[],m,h,s,"marginLeft")}}q++;n=this.dataI[q];h.first=false;l=[]}h.last=r;if(this.data[n]){if(o.length<=1){this.data[n].CHTMLmoveNode(m,h,s)}else{this.data[n].CHTMLmoveSlice([],o.slice(1),m,h,s,"marginRight")}}}}});b.msubsup.Augment({CHTMLbetterBreak:function(k,h){if(!this.data[this.base]){return false}var p=k.index.slice(0),n=k.index.shift(),m,q,l,o=(k.index.length>0),j=false;if(!o){k.W+=k.w;k.w=0}l=k.scanW=k.W;if(n==null){this.CHTML.baseW=this.data[this.base].CHTML.w;this.CHTML.dw=this.CHTML.w-this.CHTML.baseW}if(this.data[this.base].CHTMLbetterBreak(k,h)){j=true;p=[this.base].concat(k.index);m=k.W;q=k.w;if(k.penalty===f.newline){j=o=true}}if(!o){this.CHTMLaddWidth(this.base,k,l)}k.scanW+=this.CHTML.dw;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=q;k.index=p}return j},CHTMLmoveLine:function(j,o,n,i,s){if(this.data[this.base]){var k=c.addElement(n,"mjx-base");var l=this.data[this.base].CHTML.ic;if(l){k.style.marginRight=c.Em(-l)}if(j.length>1){this.data[this.base].CHTMLmoveSlice(j.slice(1),o.slice(1),k,i,s,"marginLeft")}else{if(o.length<=1){this.data[this.base].CHTMLmoveNode(k,i,s)}else{this.data[this.base].CHTMLmoveSlice([],o.slice(1),k,i,s,"marginRight")}}}if(o.length===0){var m=this.CHTMLnodeElement(),q=c.getNode(m,"mjx-stack"),p=c.getNode(m,"mjx-sup"),h=c.getNode(m,"mjx-sub");if(q){n.appendChild(q)}else{if(p){n.appendChild(p)}else{if(h){n.appendChild(h)}}}var r=i.bbox.w,t;if(p){t=this.data[this.sup].CHTML;i.bbox.combine(t,r,t.Y)}if(h){t=this.data[this.sub].CHTML;i.bbox.combine(t,r,t.Y)}}}});b.mmultiscripts.Augment({CHTMLbetterBreak:function(l,i){if(!this.data[this.base]){return false}var p=l.index.slice(0);l.index.shift();var n,q,m,o=(l.index.length>0),k=false;if(!o){l.W+=l.w;l.w=0}l.scanW=l.W;var r=this.CHTML,j=this.data[this.base].CHTML;var h=r.w-j.w-(r.X||0);l.scanW+=r.X||0;m=l.scanW;if(this.data[this.base].CHTMLbetterBreak(l,i)){k=true;p=[this.base].concat(l.index);n=l.W;q=l.w;if(l.penalty===f.newline){k=o=true}}if(!o){this.CHTMLaddWidth(this.base,l,m)}l.scanW+=h;l.W=l.scanW;l.index=[];if(k){l.W=n;l.w=q;l.index=p}return k},CHTMLmoveLine:function(m,p,o,j,v){var n,i=this.CHTMLbbox,u;if(m.length<1){n=this.CHTMLnodeElement();var r=c.getNode(n,"mjx-prestack"),s=c.getNode(n,"mjx-presup"),l=c.getNode(n,"mjx-presub");if(r){o.appendChild(r)}else{if(s){o.appendChild(s)}else{if(l){o.appendChild(l)}}}u=j.bbox.w;if(s){j.bbox.combine(i.presup,u+i.presup.X,i.presup.Y)}if(l){j.bbox.combine(i.presub,u+i.presub.X,i.presub.Y)}}if(this.data[this.base]){var k=c.addElement(o,"mjx-base");if(m.length>1){this.data[this.base].CHTMLmoveSlice(m.slice(1),p.slice(1),k,j,v,"marginLeft")}else{if(p.length<=1){this.data[this.base].CHTMLmoveNode(k,j,v)}else{this.data[this.base].CHTMLmoveSlice([],p.slice(1),k,j,v,"marginRight")}}}if(p.length===0){n=this.CHTMLnodeElement();var t=c.getNode(n,"mjx-stack"),q=c.getNode(n,"mjx-sup"),h=c.getNode(n,"mjx-sub");if(t){o.appendChild(t)}else{if(q){o.appendChild(q)}else{if(h){o.appendChild(h)}}}u=j.bbox.w;if(q){j.bbox.combine(i.sup,u,i.sup.Y)}if(h){j.bbox.combine(i.sub,u,i.sub.Y)}}}});b.mo.Augment({CHTMLbetterBreak:function(j,h){if(j.values&&j.values.id===this.CHTMLnodeID){return false}var p=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(p.linebreakstyle===b.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){p.linebreakstyle=this.Get("infixlinebreakstyle")}if(p.texClass===b.TEXCLASS.OPEN){j.nest++}if(p.texClass===b.TEXCLASS.CLOSE&&j.nest){j.nest--}var k=j.scanW;delete j.embellished;var o=this.CHTML.w+(this.CHTML.L||0)+(this.CHTML.R||0);if(p.linebreakstyle===b.LINEBREAKSTYLE.AFTER){k+=o;o=0}if(k-j.shift===0&&p.linebreak!==b.LINEBREAK.NEWLINE){return false}var l=c.linebreakWidth-k;if(h.n===0&&(p.indentshiftfirst!==h.VALUES.indentshiftfirst||p.indentalignfirst!==h.VALUES.indentalignfirst)){var m=this.CHTMLgetAlign(h,p),i=this.CHTMLgetShift(h,p,m);l+=(j.shift-i)}var n=Math.floor(l/c.linebreakWidth*1000);if(n<0){n=f.toobig-3*n}if(p.fence){n+=f.fence}if((p.linebreakstyle===b.LINEBREAKSTYLE.AFTER&&p.texClass===b.TEXCLASS.OPEN)||p.texClass===b.TEXCLASS.CLOSE){n+=f.close}n+=j.nest*f.nestfactor;var q=f[p.linebreak||b.LINEBREAK.AUTO]||0;if(!MathJax.Object.isArray(q)){if(q||l>=0){n=q*j.nest}}else{n=Math.max(1,n+q[0]*j.nest)}if(n>=j.penalty){return false}j.penalty=n;j.values=p;j.W=k;j.w=o;p.lineleading=this.CHTMLlength2em(p.lineleading,h.VALUES.lineleading);p.id=this.CHTMLnodeID;return true}});b.mspace.Augment({CHTMLbetterBreak:function(i,h){if(i.values&&i.values.id===this.CHTMLnodeID){return false}var o=this.getValues("linebreak");var l=o.linebreak;if(!l||this.hasDimAttr()){l=b.LINEBREAK.AUTO}var j=i.scanW,n=this.CHTML.w+(this.CHTML.L||0)+(this.CHTML.R||0);if(j-i.shift===0){return false}var k=c.linebreakWidth-j;var m=Math.floor(k/c.linebreakWidth*1000);if(m<0){m=f.toobig-3*m}m+=i.nest*f.nestfactor;var p=f[l]||0;if(l===b.LINEBREAK.AUTO&&n>=f.spacelimit&&!this.mathbackground&&!this.background){p=[(n+f.spaceoffset)*f.spacefactor]}if(!MathJax.Object.isArray(p)){if(p||k>=0){m=p*i.nest}}else{m=Math.max(1,m+p[0]*i.nest)}if(m>=i.penalty){return false}i.penalty=m;i.values=o;i.W=j;i.w=n;o.lineleading=h.VALUES.lineleading;o.linebreakstyle="before";o.id=this.CHTMLnodeID;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){b.TeXmathchoice.Augment({CHTMLbetterBreak:function(i,h){return this.Core().CHTMLbetterBreak(i,h)},CHTMLmoveLine:function(l,h,j,k,i){return this.Core().CHTMLmoveSlice(l,h,j,k,i)}})});b.maction.Augment({CHTMLbetterBreak:function(i,h){return this.Core().CHTMLbetterBreak(i,h)},CHTMLmoveLine:function(l,h,j,k,i){return this.Core().CHTMLmoveSlice(l,h,j,k,i)}});b.semantics.Augment({CHTMLbetterBreak:function(i,h){return(this.data[0]?this.data[0].CHTMLbetterBreak(i,h):false)},CHTMLmoveLine:function(l,h,j,k,i){return(this.data[0]?this.data[0].CHTMLmoveSlice(l,h,j,k,i):null)}});MathJax.Hub.Startup.signal.Post("CommonHTML multiline Ready");MathJax.Ajax.loadComplete(c.autoloadDir+"/multiline.js")});
diff --git a/jax/output/CommonHTML/config.js b/jax/output/CommonHTML/config.js
index 42b235b375..4f18f2f7b9 100644
--- a/jax/output/CommonHTML/config.js
+++ b/jax/output/CommonHTML/config.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/config.js
+ *  /MathJax-v2/jax/output/CommonHTML/config.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
+MathJax.OutputJax.CommonHTML=MathJax.OutputJax({id:"CommonHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/CommonHTML",extensionDir:MathJax.OutputJax.extensionDir+"/CommonHTML",autoloadDir:MathJax.OutputJax.directory+"/CommonHTML/autoload",fontDir:MathJax.OutputJax.directory+"/CommonHTML/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Cambria Math','Arial Unicode MS',serif",EqnChunk:(MathJax.Hub.Browser.isMobile?20:100),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.CommonHTML.Register("jax/mml")}MathJax.OutputJax.CommonHTML.loadComplete("config.js");
diff --git a/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js b/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js
index f796ec71ee..e2eafe274e 100644
--- a/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js
+++ b/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js b/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js
index 082b8cfae4..519f09d801 100644
--- a/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js
+++ b/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js b/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js
index 8c6a3495a7..d5ba8d6e42 100644
--- a/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js
+++ b/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js b/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js
index dd5adbb38e..814c148b27 100644
--- a/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js
+++ b/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/CommonHTML/fonts/TeX/Main-Bold.js b/jax/output/CommonHTML/fonts/TeX/Main-Bold.js
index 333246fb73..a04605d061 100644
--- a/jax/output/CommonHTML/fonts/TeX/Main-Bold.js
+++ b/jax/output/CommonHTML/fonts/TeX/Main-Bold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/Main-Bold.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/Main-Bold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js b/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js
index 78a3fef4f7..e78650c510 100644
--- a/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js
+++ b/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js b/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js
index 2d03203fd3..ec4219ec24 100644
--- a/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js
+++ b/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js b/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js
index 7ffd06354a..852101c216 100644
--- a/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js
+++ b/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js b/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js
index aab338789d..c3e4f8d73a 100644
--- a/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js
+++ b/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/CommonHTML/fonts/TeX/Script-Regular.js b/jax/output/CommonHTML/fonts/TeX/Script-Regular.js
index bea16f09f9..d68b1ab017 100644
--- a/jax/output/CommonHTML/fonts/TeX/Script-Regular.js
+++ b/jax/output/CommonHTML/fonts/TeX/Script-Regular.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/Script-Regular.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/Script-Regular.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js b/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js
index 86595c949d..53dca8ab1f 100644
--- a/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js
+++ b/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js b/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js
index c979022feb..561eb1ea0a 100644
--- a/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js
+++ b/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(i){var n="2.7.6";var m=i.FONTDATA.DELIMITERS;var g="MathJax_Main",h="MathJax_Main-Bold",k="MathJax_AMS",e="MathJax_Size1",a="MathJax_Size4";var l="H",f="V";var j=[8722,g,0,0,0,-0.31,-0.31];var c=[61,g,0,0,0,0,0.1];var d={61:{dir:l,HW:[[0.767,g]],stretch:{rep:[61,g]}},8606:{dir:l,HW:[[1,k]],stretch:{left:[8606,k],rep:j}},8608:{dir:l,HW:[[1,k]],stretch:{right:[8608,k],rep:j}},8612:{dir:l,HW:[],stretch:{min:1,left:[8592,g],rep:j,right:[8739,e,0,-0.05,0.9]}},8613:{dir:f,HW:[],stretch:{min:0.6,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8593,e]}},8614:{dir:l,HW:[[1,g]],stretch:{left:[8739,e,-0.09,-0.05,0.9],rep:j,right:[8594,g]}},8615:{dir:f,HW:[],stretch:{min:0.6,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8595,e]}},8624:{dir:f,HW:[[0.722,k]],stretch:{top:[8624,k],ext:[9168,e,0.097]}},8625:{dir:f,HW:[[0.722,k]],stretch:{top:[8625,k,0.27],ext:[9168,e]}},8636:{dir:l,HW:[[1,g]],stretch:{left:[8636,g],rep:j}},8637:{dir:l,HW:[[1,g]],stretch:{left:[8637,g],rep:j}},8638:{dir:f,HW:[[0.888,k]],stretch:{top:[8638,k,0.12,0,1.1],ext:[9168,e]}},8639:{dir:f,HW:[[0.888,k]],stretch:{top:[8639,k,0.12,0,1.1],ext:[9168,e]}},8640:{dir:l,HW:[[1,g]],stretch:{right:[8640,g],rep:j}},8641:{dir:l,HW:[[1,g]],stretch:{right:[8641,g],rep:j}},8642:{dir:f,HW:[[0.888,k]],stretch:{bot:[8642,k,0.12,0,1.1],ext:[9168,e]}},8643:{dir:f,HW:[[0.888,k]],stretch:{bot:[8643,k,0.12,0,1.1],ext:[9168,e]}},8666:{dir:l,HW:[[1,k]],stretch:{left:[8666,k],rep:[8801,g]}},8667:{dir:l,HW:[[1,k]],stretch:{right:[8667,k],rep:[8801,g]}},9140:{dir:l,HW:[],stretch:{min:0.5,left:[9484,k,0,-0.1],rep:[8722,g,0,0.35],right:[9488,k,0,-0.1]}},9141:{dir:l,HW:[],stretch:{min:0.5,left:[9492,k,0,0.26],rep:[8722,g,0,0,0,0.25],right:[9496,k,0,0.26]}},9180:{dir:l,HW:[[0.778,k,0,8994],[1,g,0,8994]],stretch:{left:[57680,a],rep:[57684,a],right:[57681,a]}},9181:{dir:l,HW:[[0.778,k,0,8995],[1,g,0,8995]],stretch:{left:[57682,a],rep:[57684,a],right:[57683,a]}},9184:{dir:l,HW:[],stretch:{min:1.25,left:[714,g,-0.1],rep:[713,g,0,0.13],right:[715,g],fullExtenders:true}},9185:{dir:l,HW:[],stretch:{min:1.5,left:[715,g,-0.1,0.1],rep:[713,g],right:[714,g,-0.1,0.1],fullExtenders:true}},10502:{dir:l,HW:[],stretch:{min:1,left:[8656,g],rep:c,right:[8739,e,0,-0.1]}},10503:{dir:l,HW:[],stretch:{min:0.7,left:[8872,k,0,-0.12],rep:c,right:[8658,g]}},10574:{dir:l,HW:[],stretch:{min:0.5,left:[8636,g],rep:j,right:[8640,g]}},10575:{dir:f,HW:[],stretch:{min:0.5,top:[8638,k,0.12,0,1.1],ext:[9168,e],bot:[8642,k,0.12,0,1.1]}},10576:{dir:l,HW:[],stretch:{min:0.5,left:[8637,g],rep:j,right:[8641,g]}},10577:{dir:f,HW:[],stretch:{min:0.5,top:[8639,k,0.12,0,1.1],ext:[9168,e],bot:[8643,k,0.12,0,1.1]}},10586:{dir:l,HW:[],stretch:{min:1,left:[8636,g],rep:j,right:[8739,e,0,-0.05,0.9]}},10587:{dir:l,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:j,right:[8640,g]}},10588:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8638,k,0.12,0,1.1]}},10589:{dir:f,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8642,k,0.12,0,1.1]}},10590:{dir:l,HW:[],stretch:{min:1,left:[8637,g],rep:j,right:[8739,e,0,-0.05,0.9]}},10591:{dir:l,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:j,right:[8641,g]}},10592:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8639,k,0.12,0,1.1]}},10593:{dir:f,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8643,k,0.12,0,1.1]}}};for(var b in d){if(d.hasOwnProperty(b)){m[b]=d[b]}}i.fontLoaded("TeX/fontdata-extra")})(MathJax.OutputJax.CommonHTML);
+(function(i){var n="2.7.9";var m=i.FONTDATA.DELIMITERS;var g="MathJax_Main",h="MathJax_Main-Bold",k="MathJax_AMS",e="MathJax_Size1",a="MathJax_Size4";var l="H",f="V";var j=[8722,g,0,0,0,-0.31,-0.31];var c=[61,g,0,0,0,0,0.1];var d={61:{dir:l,HW:[[0.767,g]],stretch:{rep:[61,g]}},8606:{dir:l,HW:[[1,k]],stretch:{left:[8606,k],rep:j}},8608:{dir:l,HW:[[1,k]],stretch:{right:[8608,k],rep:j}},8612:{dir:l,HW:[],stretch:{min:1,left:[8592,g],rep:j,right:[8739,e,0,-0.05,0.9]}},8613:{dir:f,HW:[],stretch:{min:0.6,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8593,e]}},8614:{dir:l,HW:[[1,g]],stretch:{left:[8739,e,-0.09,-0.05,0.9],rep:j,right:[8594,g]}},8615:{dir:f,HW:[],stretch:{min:0.6,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8595,e]}},8624:{dir:f,HW:[[0.722,k]],stretch:{top:[8624,k],ext:[9168,e,0.097]}},8625:{dir:f,HW:[[0.722,k]],stretch:{top:[8625,k,0.27],ext:[9168,e]}},8636:{dir:l,HW:[[1,g]],stretch:{left:[8636,g],rep:j}},8637:{dir:l,HW:[[1,g]],stretch:{left:[8637,g],rep:j}},8638:{dir:f,HW:[[0.888,k]],stretch:{top:[8638,k,0.12,0,1.1],ext:[9168,e]}},8639:{dir:f,HW:[[0.888,k]],stretch:{top:[8639,k,0.12,0,1.1],ext:[9168,e]}},8640:{dir:l,HW:[[1,g]],stretch:{right:[8640,g],rep:j}},8641:{dir:l,HW:[[1,g]],stretch:{right:[8641,g],rep:j}},8642:{dir:f,HW:[[0.888,k]],stretch:{bot:[8642,k,0.12,0,1.1],ext:[9168,e]}},8643:{dir:f,HW:[[0.888,k]],stretch:{bot:[8643,k,0.12,0,1.1],ext:[9168,e]}},8666:{dir:l,HW:[[1,k]],stretch:{left:[8666,k],rep:[8801,g]}},8667:{dir:l,HW:[[1,k]],stretch:{right:[8667,k],rep:[8801,g]}},9140:{dir:l,HW:[],stretch:{min:0.5,left:[9484,k,0,-0.1],rep:[8722,g,0,0.35],right:[9488,k,0,-0.1]}},9141:{dir:l,HW:[],stretch:{min:0.5,left:[9492,k,0,0.26],rep:[8722,g,0,0,0,0.25],right:[9496,k,0,0.26]}},9180:{dir:l,HW:[[0.778,k,0,8994],[1,g,0,8994]],stretch:{left:[57680,a],rep:[57684,a],right:[57681,a]}},9181:{dir:l,HW:[[0.778,k,0,8995],[1,g,0,8995]],stretch:{left:[57682,a],rep:[57684,a],right:[57683,a]}},9184:{dir:l,HW:[],stretch:{min:1.25,left:[714,g,-0.1],rep:[713,g,0,0.13],right:[715,g],fullExtenders:true}},9185:{dir:l,HW:[],stretch:{min:1.5,left:[715,g,-0.1,0.1],rep:[713,g],right:[714,g,-0.1,0.1],fullExtenders:true}},10502:{dir:l,HW:[],stretch:{min:1,left:[8656,g],rep:c,right:[8739,e,0,-0.1]}},10503:{dir:l,HW:[],stretch:{min:0.7,left:[8872,k,0,-0.12],rep:c,right:[8658,g]}},10574:{dir:l,HW:[],stretch:{min:0.5,left:[8636,g],rep:j,right:[8640,g]}},10575:{dir:f,HW:[],stretch:{min:0.5,top:[8638,k,0.12,0,1.1],ext:[9168,e],bot:[8642,k,0.12,0,1.1]}},10576:{dir:l,HW:[],stretch:{min:0.5,left:[8637,g],rep:j,right:[8641,g]}},10577:{dir:f,HW:[],stretch:{min:0.5,top:[8639,k,0.12,0,1.1],ext:[9168,e],bot:[8643,k,0.12,0,1.1]}},10586:{dir:l,HW:[],stretch:{min:1,left:[8636,g],rep:j,right:[8739,e,0,-0.05,0.9]}},10587:{dir:l,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:j,right:[8640,g]}},10588:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8638,k,0.12,0,1.1]}},10589:{dir:f,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8642,k,0.12,0,1.1]}},10590:{dir:l,HW:[],stretch:{min:1,left:[8637,g],rep:j,right:[8739,e,0,-0.05,0.9]}},10591:{dir:l,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:j,right:[8641,g]}},10592:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,h,0,0,0.75],ext:[9168,e],top:[8639,k,0.12,0,1.1]}},10593:{dir:f,HW:[],stretch:{min:0.7,top:[8868,h,0,0,0.75],ext:[9168,e],bot:[8643,k,0.12,0,1.1]}}};for(var b in d){if(d.hasOwnProperty(b)){m[b]=d[b]}}i.fontLoaded("TeX/fontdata-extra")})(MathJax.OutputJax.CommonHTML);
diff --git a/jax/output/CommonHTML/fonts/TeX/fontdata.js b/jax/output/CommonHTML/fonts/TeX/fontdata.js
index 44cf3ff7da..431f096e6c 100644
--- a/jax/output/CommonHTML/fonts/TeX/fontdata.js
+++ b/jax/output/CommonHTML/fonts/TeX/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/fonts/TeX/fontdata.js
+ *  /MathJax-v2/jax/output/CommonHTML/fonts/TeX/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(a,c,r){var q="2.7.6";var m="MathJax_Main",s="MathJax_Main-Bold",o="MathJax_Math-Italic",i="MathJax_AMS",h="MathJax_Size1",g="MathJax_Size2",f="MathJax_Size3",d="MathJax_Size4";var j="H",b="V",l={load:"extra",dir:j},e={load:"extra",dir:b};var k=[8722,m,0,0,0,-0.31,-0.31];var n=[61,m,0,0,0,0,0.1];var p=a.config.undefinedFamily;MathJax.Hub.Insert(a.config.styles,{".MJXc-TeX-unknown-R":{"font-family":p,"font-style":"normal","font-weight":"normal"},".MJXc-TeX-unknown-I":{"font-family":p,"font-style":"italic","font-weight":"normal"},".MJXc-TeX-unknown-B":{"font-family":p,"font-style":"normal","font-weight":"bold"},".MJXc-TeX-unknown-BI":{"font-family":p,"font-style":"italic","font-weight":"bold"}});a.TEX=a.TEXDEF;a.FONTDEF.TeX={version:q,baselineskip:1.2,lineH:0.8,lineD:0.2,FONTS:{MathJax_AMS:"TeX/AMS-Regular.js","MathJax_Caligraphic-Bold":"TeX/Caligraphic-Bold.js",MathJax_Fraktur:"TeX/Fraktur-Regular.js","MathJax_Fraktur-Bold":"TeX/Fraktur-Bold.js","MathJax_Math-BoldItalic":"TeX/Math-BoldItalic.js",MathJax_SansSerif:"TeX/SansSerif-Regular.js","MathJax_SansSerif-Bold":"TeX/SansSerif-Bold.js","MathJax_SansSerif-Italic":"TeX/SansSerif-Italic.js",MathJax_Script:"TeX/Script-Regular.js",MathJax_Typewriter:"TeX/Typewriter-Regular.js"},UNKNOWN:{R:{className:"MJXc-TeX-unknown-R"},I:{className:"MJXc-TeX-unknown-I"},B:{className:"MJXc-TeX-unknown-B"},BI:{className:"MJXc-TeX-unknown-BI"}},VARIANT:{normal:{fonts:[m,h,i],cache:{},offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,57696:[8594,"-TeX-vec"],8214:8741,8726:[8726,"-TeX-variant",true],8463:[8463,"-TeX-variant",true],8242:[39,"sans-serif-italic"],10744:[47,c.VARIANT.ITALIC]}},bold:{fonts:[s],bold:true,cache:{},chain:"normal",offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],57696:[8594,"-TeX-vec-bold"],8214:8741,8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[o,"MathJax_Main-Italic"],italic:true,cache:{},chain:"normal",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-BoldItalic"],bold:true,italic:true,cache:{},chain:"bold",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[i,m,h],cache:{}},fraktur:{fonts:["MathJax_Fraktur"],cache:{},chain:"normal"},"bold-fraktur":{fonts:["MathJax_Fraktur-Bold"],bold:true,cache:{},chain:"bold"},script:{fonts:["MathJax_Script"],cache:{},chain:"normal"},"bold-script":{fonts:["MathJax_Script"],bold:true,cache:{},chain:"bold"},"sans-serif":{fonts:["MathJax_SansSerif"],cache:{},chain:"normal"},"bold-sans-serif":{fonts:["MathJax_SansSerif-Bold"],bold:true,cache:{},chain:"bold"},"sans-serif-italic":{fonts:["MathJax_SansSerif-Italic"],italic:true,cache:{},chain:"italic"},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-Italic"],bold:true,italic:true,cache:{},chain:"italic"},monospace:{fonts:["MathJax_Typewriter"],cache:{},chain:"normal"},"-tex-caligraphic":{fonts:["MathJax_Caligraphic"],offsetA:65,variantA:"italic",cache:{},chain:"normal"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic"],cache:{},chain:"normal"},"-tex-mathit":{fonts:["MathJax_Main-Italic"],italic:true,noIC:true,cache:{},chain:"normal",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[i,m,h],cache:{},remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,c.VARIANT.NORMAL,true],8463:[8463,c.VARIANT.NORMAL,true]}},"-TeX-vec":{fonts:["MathJax_Vector"],cache:{}},"-TeX-vec-bold":{fonts:["MathJax_Vector-Bold"],cache:{}},"-largeOp":{fonts:[g,h,m,i],cache:{}},"-smallOp":{fonts:[h,m,i],cache:{}},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-Bold","MathJax_Main-Bold"],bold:true,cache:{},chain:"normal",offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-Bold","MathJax_Main-Bold"],bold:true,cache:{},chain:"normal"}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],REMAP:{10:32,8254:713,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,c.VARIANT.DOUBLESTRUCK],8459:[72,c.VARIANT.SCRIPT],8460:[72,c.VARIANT.FRAKTUR],8461:[72,c.VARIANT.DOUBLESTRUCK],8462:[104,c.VARIANT.ITALIC],8464:[74,c.VARIANT.SCRIPT],8465:[73,c.VARIANT.FRAKTUR],8466:[76,c.VARIANT.SCRIPT],8469:[78,c.VARIANT.DOUBLESTRUCK],8473:[80,c.VARIANT.DOUBLESTRUCK],8474:[81,c.VARIANT.DOUBLESTRUCK],8475:[82,c.VARIANT.SCRIPT],8476:[82,c.VARIANT.FRAKTUR],8477:[82,c.VARIANT.DOUBLESTRUCK],8484:[90,c.VARIANT.DOUBLESTRUCK],8486:[937,c.VARIANT.NORMAL],8488:[90,c.VARIANT.FRAKTUR],8492:[66,c.VARIANT.SCRIPT],8493:[67,c.VARIANT.FRAKTUR],8496:[69,c.VARIANT.SCRIPT],8497:[70,c.VARIANT.SCRIPT],8499:[77,c.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",},REMAPACCENT:{"\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030A":"\u02DA","\u030C":"\u02C7","\u20D7":"\uE160","\u2192":"\uE160","\u2032":"'","\u2035":"`","\u20D0":"\u21BC","\u20D1":"\u21C0","\u20D6":"\u2190","\u20E1":"\u2194","\u20F0":"*","\u20DB":"...","\u20DC":"...."},REMAPACCENTUNDER:{"\u20EC":"\u21C1","\u20ED":"\u21BD","\u20EE":"\u2190","\u20EF":"\u2192","\u20DB":"...","\u20DC":"...."},PLANE1MAP:[[119808,119833,65,c.VARIANT.BOLD],[119834,119859,97,c.VARIANT.BOLD],[119860,119885,65,c.VARIANT.ITALIC],[119886,119911,97,c.VARIANT.ITALIC],[119912,119937,65,c.VARIANT.BOLDITALIC],[119938,119963,97,c.VARIANT.BOLDITALIC],[119964,119989,65,c.VARIANT.SCRIPT],[120068,120093,65,c.VARIANT.FRAKTUR],[120094,120119,97,c.VARIANT.FRAKTUR],[120120,120145,65,c.VARIANT.DOUBLESTRUCK],[120172,120197,65,c.VARIANT.BOLDFRAKTUR],[120198,120223,97,c.VARIANT.BOLDFRAKTUR],[120224,120249,65,c.VARIANT.SANSSERIF],[120250,120275,97,c.VARIANT.SANSSERIF],[120276,120301,65,c.VARIANT.BOLDSANSSERIF],[120302,120327,97,c.VARIANT.BOLDSANSSERIF],[120328,120353,65,c.VARIANT.SANSSERIFITALIC],[120354,120379,97,c.VARIANT.SANSSERIFITALIC],[120432,120457,65,c.VARIANT.MONOSPACE],[120458,120483,97,c.VARIANT.MONOSPACE],[120488,120513,913,c.VARIANT.BOLD],[120546,120570,913,c.VARIANT.ITALIC],[120572,120603,945,c.VARIANT.ITALIC],[120604,120628,913,c.VARIANT.BOLDITALIC],[120630,120661,945,c.VARIANT.BOLDITALIC],[120662,120686,913,c.VARIANT.BOLDSANSSERIF],[120720,120744,913,c.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,c.VARIANT.BOLD],[120802,120811,48,c.VARIANT.SANSSERIF],[120812,120821,48,c.VARIANT.BOLDSANSSERIF],[120822,120831,48,c.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(w,v){for(var u=0,t=this.PLANE1MAP.length;u<t;u++){if(w<this.PLANE1MAP[u][0]){break}if(w<=this.PLANE1MAP[u][1]){w=w-this.PLANE1MAP[u][0]+this.PLANE1MAP[u][2];if(this.REMAPGREEK[w]){w=this.REMAPGREEK[w]}v=this.VARIANT[this.PLANE1MAP[u][3]];break}}return{n:w,variant:v}},DELIMITERS:{40:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9115,d],ext:[9116,d],bot:[9117,d]}},41:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9118,d],ext:[9119,d],bot:[9120,d]}},47:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]]},91:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9121,d],ext:[9122,d],bot:[9123,d]}},92:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]]},93:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9124,d],ext:[9125,d],bot:[9126,d]}},123:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9127,d],mid:[9128,d],bot:[9129,d],ext:[9130,d]}},124:{dir:b,HW:[[1,m]],stretch:{ext:[8739,m]}},125:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9131,d],mid:[9132,d],bot:[9133,d],ext:[9130,d]}},175:{dir:j,HW:[[0.59,m]],stretch:{rep:[175,m]}},710:{dir:j,HW:[[0.267+0.25,m],[0.567+0.25,h],[1.005+0.33,g],[1.447+0.33,f],[1.909,d]]},732:{dir:j,HW:[[0.333+0.25,m],[0.555+0.25,h],[1+0.33,g],[1.443+0.33,f],[1.887,d]]},8211:{dir:j,HW:[[0.5,m]],stretch:{rep:[8211,m]}},8214:{dir:b,HW:[[0.602,h],[1,m,null,8741]],stretch:{ext:[8741,m]}},8592:{dir:j,HW:[[1,m]],stretch:{left:[8592,m],rep:k}},8593:{dir:b,HW:[[0.888,m]],stretch:{top:[8593,h],ext:[9168,h]}},8594:{dir:j,HW:[[1,m]],stretch:{rep:k,right:[8594,m]}},8595:{dir:b,HW:[[0.888,m]],stretch:{ext:[9168,h],bot:[8595,h]}},8596:{dir:j,HW:[[1,m]],stretch:{left:[8592,m],rep:k,right:[8594,m]}},8597:{dir:b,HW:[[1.044,m]],stretch:{top:[8593,h],ext:[9168,h],bot:[8595,h]}},8656:{dir:j,HW:[[1,m]],stretch:{left:[8656,m],rep:n}},8657:{dir:b,HW:[[0.888,m]],stretch:{top:[8657,h],ext:[8214,h]}},8658:{dir:j,HW:[[1,m]],stretch:{rep:n,right:[8658,m]}},8659:{dir:b,HW:[[0.888,m]],stretch:{ext:[8214,h],bot:[8659,h]}},8660:{dir:j,HW:[[1,m]],stretch:{left:[8656,m],rep:n,right:[8658,m]}},8661:{dir:b,HW:[[1.044,m]],stretch:{top:[8657,h],ext:[8214,h],bot:[8659,h]}},8722:{dir:j,HW:[[0.778,m]],stretch:{rep:[8722,m]}},8730:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[57345,d],ext:[57344,d],bot:[9143,d],fullExtenders:true}},8739:{dir:b,HW:[[1,m]],stretch:{ext:[8739,m]}},8741:{dir:b,HW:[[1,m]],stretch:{ext:[8741,m]}},8968:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9121,d],ext:[9122,d]}},8969:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9124,d],ext:[9125,d]}},8970:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{ext:[9122,d],bot:[9123,d]}},8971:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{ext:[9125,d],bot:[9126,d]}},9130:{dir:b,HW:[[0.32,d]],stretch:{top:[9130,d],ext:[9130,d],bot:[9130,d]}},9136:{dir:b,HW:[[0.989,m]],stretch:{top:[9127,d],ext:[9130,d],bot:[9133,d]}},9137:{dir:b,HW:[[0.989,m]],stretch:{top:[9131,d],ext:[9130,d],bot:[9129,d]}},9168:{dir:b,HW:[[0.602,h],[1,m,null,8739]],stretch:{ext:[8739,m]}},9182:{dir:j,HW:[],stretch:{min:0.9,left:[57680,d],mid:[[57683,57682],d],right:[57681,d],rep:[57684,d]}},9183:{dir:j,HW:[],stretch:{min:0.9,left:[57682,d],mid:[[57681,57680],d],right:[57683,d],rep:[57684,d]}},10216:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]]},10217:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]]},10222:{dir:b,HW:[[0.989,m]],stretch:{top:[9127,d],ext:[9130,d],bot:[9129,d]}},10223:{dir:b,HW:[[0.989,m]],stretch:{top:[9131,d],ext:[9130,d],bot:[9133,d]}},45:{alias:8722,dir:j},94:{alias:710,dir:j},95:{alias:8211,dir:j},126:{alias:732,dir:j},713:{alias:175,dir:j},770:{alias:710,dir:j},771:{alias:732,dir:j},780:{alias:711,dir:j},818:{alias:8211,dir:j},8212:{alias:8211,dir:j},8213:{alias:8211,dir:j},8215:{alias:8211,dir:j},8254:{alias:175,dir:j},8407:{alias:8594,dir:j},8725:{alias:47,dir:b},9001:{alias:10216,dir:b},9002:{alias:10217,dir:b},9135:{alias:8211,dir:j},9472:{alias:8211,dir:j},10072:{alias:8739,dir:b},12296:{alias:10216,dir:b},12297:{alias:10217,dir:b},65079:{alias:9182,dir:j},65080:{alias:9183,dir:j},61:l,8606:l,8608:l,8612:l,8613:e,8614:l,8615:e,8624:e,8625:e,8636:l,8637:l,8638:e,8639:e,8640:l,8641:l,8642:e,8643:e,8666:l,8667:l,9140:l,9141:l,9180:l,9181:l,9184:l,9185:l,10502:l,10503:l,10574:l,10575:e,10576:l,10577:e,10586:l,10587:l,10588:e,10589:e,10590:l,10591:l,10592:e,10593:e,8978:{alias:9180,dir:j},8994:{alias:9180,dir:j},8995:{alias:9181,dir:j},10229:{alias:8592,dir:j},10230:{alias:8594,dir:j},10231:{alias:8596,dir:j},10232:{alias:8656,dir:j},10233:{alias:8658,dir:j},10234:{alias:8660,dir:j},10235:{alias:8612,dir:j},10236:{alias:8614,dir:j},10237:{alias:10502,dir:j},10238:{alias:10503,dir:j},57696:{alias:8592,dir:j},}};a.FONTDATA=a.FONTDEF.TeX;a.FONTDATA.FONTS.MathJax_Caligraphic={centerline:287,ascent:789,descent:216,skew:{65:0.194,66:0.139,67:0.139,68:0.0833,69:0.111,70:0.111,71:0.111,72:0.111,73:0.0278,74:0.167,75:0.0556,76:0.139,77:0.139,78:0.0833,79:0.111,80:0.0833,81:0.111,82:0.0833,83:0.139,84:0.0278,85:0.0833,86:0.0278,87:0.0833,88:0.139,89:0.0833,90:0.139},32:[0,0,250,0,0],48:[452,22,500,39,460],49:[453,0,500,86,426],50:[453,0,500,44,449],51:[452,216,500,42,456],52:[464,194,500,28,471],53:[453,216,500,50,448],54:[665,22,500,42,456],55:[463,216,500,55,485],56:[666,21,500,43,456],57:[453,216,500,42,457],65:[728,50,798,30,819],66:[705,22,657,32,664],67:[705,25,527,12,533],68:[683,0,771,19,766],69:[705,22,528,30,564],70:[683,32,719,18,829],71:[704,119,595,44,599],72:[683,48,845,18,803],73:[683,0,545,-30,642],74:[683,119,678,47,839],75:[705,22,762,32,732],76:[705,22,690,32,656],77:[705,50,1201,28,1137],78:[789,50,820,-27,979],79:[705,22,796,58,777],80:[683,57,696,19,733],81:[705,131,817,114,787],82:[682,22,848,19,837],83:[705,22,606,18,642],84:[717,68,545,34,833],85:[683,28,626,-17,687],86:[683,52,613,25,658],87:[683,53,988,25,1034],88:[683,0,713,52,807],89:[683,143,668,31,714],90:[683,0,725,37,767],160:[0,0,250,0,0]};a.FONTDATA.FONTS["MathJax_Main-Bold"]={centerline:342,ascent:951,descent:267,weight:"bold",file:"TeX/Main-Bold.js",Extra:[160,168,172,[175,177],180,215,247,305,567,[710,715],[728,732],[768,780],824,[8194,8198],8201,8202,8211,8212,8216,8217,8220,8221,8224,8225,8230,8242,8407,[8463,8467],8472,8476,8501,[8592,8601],8614,8617,8618,8636,8637,8640,8641,8652,[8656,8661],[8704,8715],[8722,8730],[8733,8736],[8739,8764],8768,8771,8773,8776,8781,8784,8800,8801,8804,8805,8810,8811,8826,8827,8834,8835,8838,8839,8846,[8849,8857],[8866,8869],8872,[8900,8904],[8942,8945],[8968,8971],8994,8995,9651,9657,9661,9667,9711,[9824,9827],[9837,9839],10216,10217,[10229,10236],10815,10927,10928],skew:{305:0.0319,567:0.0958,8463:-0.0319,8467:0.128,8706:0.0958},32:[0,0,250,0,0],33:[705,-1,350,89,260],34:[694,-329,603,38,492],35:[694,193,958,64,893],36:[750,56,575,64,510],37:[750,56,958,65,893],38:[705,11,894,48,836],39:[694,-329,319,74,261],40:[750,249,447,103,382],41:[750,249,447,64,343],42:[750,-306,575,73,501],43:[633,131,894,64,829],44:[171,194,319,74,258],45:[278,-166,383,13,318],46:[171,-1,319,74,245],47:[750,250,575,63,511],48:[654,10,575,45,529],49:[655,0,575,80,494],50:[654,0,575,57,517],51:[655,11,575,47,526],52:[656,0,575,32,542],53:[655,11,575,57,517],54:[655,11,575,48,526],55:[676,11,575,64,558],56:[654,11,575,48,526],57:[654,11,575,48,526],58:[444,-1,319,74,245],59:[444,194,319,74,248],60:[587,85,894,96,797],61:[393,-109,894,64,829],62:[587,85,894,96,797],63:[700,-1,543,65,478],64:[699,6,894,64,829],65:[698,0,869,40,828],66:[686,0,818,39,752],67:[697,11,831,64,766],68:[686,0,882,39,817],69:[680,0,756,39,723],70:[680,0,724,39,675],71:[697,10,904,64,845],72:[686,0,900,39,860],73:[686,0,436,25,410],74:[686,11,594,8,527],75:[686,0,901,39,852],76:[686,0,692,39,643],77:[686,0,1092,39,1052],78:[686,0,900,39,860],79:[696,10,864,64,798],80:[686,0,786,39,721],81:[696,193,864,64,805],82:[686,11,862,39,858],83:[697,11,639,64,574],84:[675,0,800,41,758],85:[686,11,885,39,845],86:[686,7,869,25,843],87:[686,7,1189,24,1164],88:[686,0,869,33,835],89:[686,0,869,19,849],90:[686,0,703,64,645],91:[750,250,319,128,293],92:[750,250,575,63,511],93:[750,250,319,25,190],94:[694,-520,575,126,448],95:[-10,61,575,0,574],96:[706,-503,575,114,338],97:[453,6,559,32,558],98:[694,6,639,29,600],99:[453,6,511,39,478],100:[694,6,639,38,609],101:[452,6,527,32,494],102:[700,0,351,40,452],103:[455,201,575,30,558],104:[694,0,639,37,623],105:[695,0,319,40,294],106:[695,200,351,-71,274],107:[694,0,607,29,587],108:[694,0,319,40,301],109:[450,0,958,37,942],110:[450,0,639,37,623],111:[452,5,575,32,542],112:[450,194,639,29,600],113:[450,194,607,38,609],114:[450,0,474,29,442],115:[453,6,454,38,414],116:[635,5,447,21,382],117:[450,6,639,37,623],118:[444,3,607,26,580],119:[444,4,831,25,805],120:[444,0,607,21,586],121:[444,200,607,23,580],122:[444,0,511,32,462],123:[750,250,575,70,504],124:[750,249,319,129,190],125:[750,250,575,70,504],126:[344,-202,575,96,478],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,63,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,0,831,51,779]};a.FONTDATA.FONTS["MathJax_Main-Italic"]={centerline:250,ascent:750,descent:250,style:"italic",32:[0,0,250,0,0],33:[716,0,307,107,380],34:[694,-379,514,176,538],35:[694,194,818,115,828],37:[750,56,818,145,847],38:[716,22,767,127,802],39:[694,-379,307,213,377],40:[750,250,409,144,517],41:[750,250,409,17,390],42:[750,-320,511,195,584],43:[557,57,767,139,753],44:[121,194,307,69,232],45:[251,-180,358,84,341],46:[121,0,307,107,231],47:[750,250,511,19,617],48:[665,21,511,110,562],49:[666,0,511,110,468],50:[666,22,511,76,551],51:[666,22,511,96,562],52:[666,194,511,46,478],53:[666,22,511,106,567],54:[665,22,511,120,565],55:[666,22,511,136,634],56:[666,21,511,99,553],57:[666,22,511,107,553],58:[431,0,307,107,308],59:[431,194,307,70,308],61:[367,-133,767,116,776],63:[716,0,511,195,551],64:[705,11,767,152,789],65:[716,0,743,58,696],66:[683,0,704,57,732],67:[705,21,716,150,812],68:[683,0,755,56,775],69:[680,0,678,54,743],70:[680,-1,653,54,731],71:[705,22,774,150,812],72:[683,0,743,54,860],73:[683,0,386,49,508],74:[683,21,525,78,622],75:[683,0,769,54,859],76:[683,0,627,54,628],77:[683,0,897,58,1010],78:[683,0,743,54,860],79:[704,22,767,149,788],80:[683,0,678,55,729],81:[704,194,767,149,788],82:[683,22,729,55,723],83:[705,22,562,74,633],84:[677,0,716,171,806],85:[683,22,743,194,860],86:[683,22,743,205,868],87:[683,22,999,205,1124],88:[683,0,743,50,825],89:[683,0,743,198,875],90:[683,0,613,80,704],91:[750,250,307,73,446],93:[750,250,307,-14,359],94:[694,-527,511,260,528],95:[-25,62,511,91,554],97:[442,11,511,101,543],98:[694,11,460,108,467],99:[441,10,460,103,469],100:[694,11,511,101,567],101:[442,10,460,107,470],102:[705,204,307,-23,450],103:[442,205,460,46,494],104:[694,11,511,69,544],105:[656,10,307,75,340],106:[656,204,307,-32,364],107:[694,11,460,69,498],108:[694,11,256,87,312],109:[442,11,818,75,851],110:[442,11,562,75,595],111:[442,11,511,103,517],112:[442,194,511,6,518],113:[442,194,460,101,504],114:[442,11,422,75,484],115:[442,11,409,76,418],116:[626,11,332,87,373],117:[441,11,537,75,570],118:[443,10,460,75,492],119:[443,11,664,75,696],120:[442,11,464,58,513],121:[441,205,486,75,522],122:[442,11,409,54,466],126:[318,-208,511,246,571],160:[0,0,250,0,0],163:[714,11,769,88,699],305:[441,10,307,75,340],567:[442,204,332,-32,327],768:[697,-500,0,-222,-74],769:[697,-500,0,-173,39],770:[694,-527,0,-251,17],771:[668,-558,0,-265,60],772:[589,-544,0,-282,54],774:[694,-515,0,-237,62],775:[669,-548,0,-165,-41],776:[669,-554,0,-251,45],778:[716,-542,0,-199,3],779:[697,-503,0,-248,65],780:[638,-502,0,-236,29],915:[680,0,627,54,705],916:[716,0,818,70,751],920:[704,22,767,149,788],923:[716,0,692,58,646],926:[677,0,664,74,754],928:[680,0,743,54,859],931:[683,0,716,80,782],933:[705,0,767,213,832],934:[683,0,716,159,728],936:[683,0,767,207,824],937:[705,0,716,100,759],8211:[285,-248,511,91,554],8212:[285,-248,1022,117,1038],8216:[694,-379,307,197,362],8217:[694,-379,307,213,377],8220:[694,-379,514,243,606],8221:[694,-379,514,176,538],8463:[695,13,540,42,562]};a.FONTDATA.FONTS.MathJax_Main={centerline:314,ascent:900,descent:272,skew:{305:0.0278,567:0.0833,8467:0.111,8472:0.111,8706:0.0833},32:[0,0,250,0,0],33:[716,-1,278,78,199],34:[694,-379,500,34,372],35:[694,194,833,56,777],36:[750,56,500,55,444],37:[750,56,833,56,776],38:[716,22,778,42,727],39:[694,-379,278,78,212],40:[750,250,389,94,333],41:[750,250,389,55,294],42:[750,-320,500,64,435],43:[583,82,778,56,722],44:[121,194,278,78,210],45:[252,-179,333,11,277],46:[120,0,278,78,199],47:[750,250,500,56,445],48:[666,22,500,39,460],49:[666,0,500,83,427],50:[666,0,500,50,449],51:[665,22,500,42,457],52:[677,0,500,28,471],53:[666,22,500,50,449],54:[666,22,500,42,456],55:[676,22,500,55,485],56:[666,22,500,43,457],57:[666,22,500,42,456],58:[430,0,278,78,199],59:[430,194,278,78,202],60:[540,40,778,83,694],61:[367,-133,778,56,722],62:[540,40,778,83,694],63:[705,-1,472,55,416],64:[705,11,778,56,722],65:[716,0,750,32,717],66:[683,0,708,28,651],67:[705,21,722,56,666],68:[683,0,764,27,708],69:[680,0,681,25,652],70:[680,0,653,25,610],71:[705,22,785,56,735],72:[683,0,750,25,724],73:[683,0,361,21,339],74:[683,22,514,25,465],75:[683,0,778,25,736],76:[683,0,625,25,582],77:[683,0,917,29,887],78:[683,0,750,25,724],79:[705,22,778,56,722],80:[683,0,681,27,624],81:[705,193,778,56,728],82:[683,22,736,27,732],83:[705,22,556,55,500],84:[677,0,722,36,685],85:[683,22,750,25,724],86:[683,22,750,19,730],87:[683,22,1028,18,1009],88:[683,0,750,23,726],89:[683,0,750,11,738],90:[683,0,611,55,560],91:[750,250,278,118,255],92:[750,250,500,56,444],93:[750,250,278,22,159],94:[694,-531,500,112,387],95:[-25,62,500,0,499],96:[699,-505,500,106,295],97:[448,11,500,34,493],98:[694,11,556,20,522],99:[448,11,444,34,415],100:[694,11,556,34,535],101:[448,11,444,28,415],102:[705,0,306,26,372],103:[453,206,500,29,485],104:[694,0,556,25,542],105:[669,0,278,26,255],106:[669,205,306,-55,218],107:[694,0,528,20,511],108:[694,0,278,26,263],109:[442,0,833,25,819],110:[442,0,556,25,542],111:[448,10,500,28,471],112:[442,194,556,20,522],113:[442,194,528,33,535],114:[442,0,392,20,364],115:[448,11,394,33,359],116:[615,10,389,18,333],117:[442,11,556,25,542],118:[431,11,528,19,508],119:[431,11,722,18,703],120:[431,0,528,11,516],121:[431,204,528,19,508],122:[431,0,444,28,401],123:[750,250,500,65,434],124:[750,249,278,119,159],125:[750,250,500,65,434],126:[318,-215,500,83,416],160:[0,0,250,0,0],168:[669,-554,500,95,404],172:[356,-89,667,56,611],175:[590,-544,500,69,430],176:[715,-542,500,147,352],177:[666,0,778,56,722],180:[699,-505,500,203,393],215:[491,-9,778,147,630],247:[537,36,778,56,721],305:[442,0,278,26,255],567:[442,205,306,-55,218],710:[694,-531,500,112,387],711:[644,-513,500,114,385],713:[590,-544,500,69,430],714:[699,-505,500,203,393],715:[699,-505,500,106,295],728:[694,-515,500,92,407],729:[669,-549,500,190,309],732:[668,-565,500,83,416],730:[715,-542,500,147,352],768:[699,-505,0,-394,-205],769:[699,-505,0,-297,-107],770:[694,-531,0,-388,-113],771:[668,-565,0,-417,-84],772:[590,-544,0,-431,-70],774:[694,-515,0,-408,-93],775:[669,-549,0,-310,-191],776:[669,-554,0,-405,-96],778:[715,-542,0,-353,-148],779:[701,-510,0,-378,-80],780:[644,-513,0,-386,-115],824:[716,215,0,-639,-140],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677],8194:[0,0,500,0,0],8195:[0,0,999,0,0],8196:[0,0,333,0,0],8197:[0,0,250,0,0],8198:[0,0,167,0,0],8201:[0,0,167,0,0],8202:[0,0,83,0,0],8211:[285,-248,500,0,499],8212:[285,-248,1000,0,999],8216:[694,-379,278,64,198],8217:[694,-379,278,78,212],8220:[694,-379,500,128,466],8221:[694,-379,500,34,372],8224:[705,216,444,55,389],8225:[705,205,444,55,389],8230:[120,0,1172,78,1093],8242:[560,-43,275,30,262],8407:[714,-516,0,-471,-29],8463:[695,13,540,42,562],8465:[705,10,722,55,693],8467:[705,20,417,6,397],8472:[453,216,636,67,625],8476:[716,22,722,40,715],8501:[694,0,611,55,555],8592:[511,11,1000,55,944],8593:[694,193,500,17,483],8594:[511,11,1000,56,944],8595:[694,194,500,17,483],8596:[511,11,1000,55,944],8597:[772,272,500,17,483],8598:[720,195,1000,29,944],8599:[720,195,1000,55,970],8600:[695,220,1000,55,970],8601:[695,220,1000,29,944],8614:[511,11,1000,55,944],8617:[511,11,1126,55,1070],8618:[511,11,1126,55,1070],8636:[511,-230,1000,55,944],8637:[270,11,1000,55,944],8640:[511,-230,1000,56,944],8641:[270,11,1000,56,944],8652:[671,11,1000,55,944],8656:[525,24,1000,56,944],8657:[694,194,611,31,579],8658:[525,24,1000,56,944],8659:[694,194,611,31,579],8660:[526,25,1000,34,966],8661:[772,272,611,31,579],8704:[694,22,556,0,556],8706:[715,22,531,42,566],8707:[694,0,556,56,500],8709:[772,78,500,39,460],8711:[683,33,833,46,786],8712:[540,40,667,84,583],8713:[716,215,667,84,583],8715:[540,40,667,83,582],8722:[270,-230,778,84,694],8723:[500,166,778,56,722],8725:[750,250,500,56,445],8726:[750,250,500,56,444],8727:[465,-35,500,64,435],8728:[444,-55,500,55,444],8729:[444,-55,500,55,444],8730:[800,200,833,72,853],8733:[442,11,778,56,722],8734:[442,11,1000,55,944],8736:[694,0,722,55,666],8739:[750,249,278,119,159],8741:[750,250,500,132,367],8743:[598,22,667,55,611],8744:[598,22,667,55,611],8745:[598,22,667,55,611],8746:[598,22,667,55,611],8747:[716,216,417,55,472],8764:[367,-133,778,55,722],8768:[583,83,278,55,222],8771:[464,-36,778,55,722],8773:[589,-22,1000,55,722],8776:[483,-55,778,55,722],8781:[484,-16,778,55,722],8784:[670,-133,778,56,722],8800:[716,215,778,56,722],8801:[464,-36,778,56,722],8804:[636,138,778,83,694],8805:[636,138,778,83,694],8810:[568,67,1000,56,944],8811:[567,67,1000,55,944],8826:[539,41,778,84,694],8827:[539,41,778,83,694],8834:[540,40,778,84,694],8835:[540,40,778,83,693],8838:[636,138,778,84,694],8839:[636,138,778,83,693],8846:[598,22,667,55,611],8849:[636,138,778,84,714],8850:[636,138,778,64,694],8851:[598,0,667,61,605],8852:[598,0,667,61,605],8853:[583,83,778,56,722],8854:[583,83,778,56,722],8855:[583,83,778,56,722],8856:[583,83,778,56,722],8857:[583,83,778,56,722],8866:[694,0,611,55,555],8867:[694,0,611,55,555],8868:[668,0,778,55,723],8869:[668,0,778,55,723],8872:[750,249,867,119,811],8900:[488,-12,500,12,488],8901:[310,-190,278,78,199],8902:[486,-16,500,3,497],8904:[505,5,900,26,873],8942:[900,30,278,78,199],8943:[310,-190,1172,78,1093],8945:[820,-100,1282,133,1148],8968:[750,250,444,174,422],8969:[750,250,444,21,269],8970:[750,250,444,174,422],8971:[750,250,444,21,269],8994:[388,-122,1000,55,944],8995:[378,-134,1000,55,944],9136:[744,244,412,55,357],9137:[744,244,412,56,357],9651:[716,0,889,59,828],9657:[505,5,500,26,474],9661:[500,215,889,59,828],9667:[505,5,500,26,473],9711:[715,215,1000,56,944],9824:[727,130,778,55,723],9825:[716,33,778,55,723],9826:[727,162,778,55,723],9827:[726,130,778,28,750],9837:[750,22,389,55,332],9838:[734,223,389,65,324],9839:[723,223,389,55,333],10216:[750,250,389,110,333],10217:[750,250,389,55,278],10222:[744,244,412,173,357],10223:[744,244,412,56,240],10229:[511,11,1609,55,1525],10230:[511,11,1638,84,1553],10231:[511,11,1859,55,1803],10232:[525,24,1609,56,1553],10233:[525,24,1638,56,1582],10234:[525,24,1858,56,1802],10236:[511,11,1638,55,1553],10815:[683,0,750,28,721],10927:[636,138,778,84,694],10928:[636,138,778,83,694]};a.FONTDATA.FONTS["MathJax_Math-Italic"]={centerline:250,ascent:717,descent:218,style:"italic",skew:{65:0.139,66:0.0833,67:0.0833,68:0.0556,69:0.0833,70:0.0833,71:0.0833,72:0.0556,73:0.111,74:0.167,75:0.0556,76:0.0278,77:0.0833,78:0.0833,79:0.0833,80:0.0833,81:0.0833,82:0.0833,83:0.0833,84:0.0833,85:0.0278,88:0.0833,90:0.0833,99:0.0556,100:0.167,101:0.0556,102:0.167,103:0.0278,104:-0.0278,108:0.0833,111:0.0556,112:0.0833,113:0.0833,114:0.0556,115:0.0556,116:0.0833,117:0.0278,118:0.0278,119:0.0833,120:0.0278,121:0.0556,122:0.0556,915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],47:[716,215,778,139,638],65:[716,0,750,35,726],66:[683,0,759,35,756],67:[705,22,715,50,760],68:[683,0,828,33,803],69:[680,0,738,31,764],70:[680,0,643,31,749],71:[705,22,786,50,760],72:[683,0,831,31,888],73:[683,0,440,26,504],74:[683,22,555,57,633],75:[683,0,849,31,889],76:[683,0,681,32,647],77:[683,0,970,35,1051],78:[683,0,803,31,888],79:[704,22,763,50,740],80:[683,0,642,33,751],81:[704,194,791,50,740],82:[683,21,759,33,755],83:[705,22,613,52,645],84:[677,0,584,21,704],85:[683,22,683,60,767],86:[683,22,583,52,769],87:[683,22,944,51,1048],88:[683,0,828,26,852],89:[683,-1,581,30,763],90:[683,0,683,58,723],97:[441,10,529,33,506],98:[694,11,429,40,422],99:[442,11,433,34,429],100:[694,10,520,33,523],101:[442,11,466,39,429],102:[705,205,490,55,550],103:[442,205,477,10,480],104:[694,11,576,48,555],105:[661,11,345,21,302],106:[661,204,412,-12,403],107:[694,11,521,48,503],108:[694,11,298,38,266],109:[442,11,878,21,857],110:[442,11,600,21,580],111:[441,11,485,34,476],112:[442,194,503,-39,497],113:[442,194,446,33,460],114:[442,11,451,21,430],115:[442,10,469,53,419],116:[626,11,361,19,330],117:[442,11,572,21,551],118:[443,11,485,21,467],119:[443,11,716,21,690],120:[442,11,572,35,522],121:[442,205,490,21,496],122:[442,11,465,35,468],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[677,0,742,53,777],928:[680,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]};a.FONTDATA.FONTS.MathJax_Size1={centerline:250,ascent:850,descent:350,32:[0,0,250,0,0],40:[850,349,458,152,422],41:[850,349,458,35,305],47:[850,349,578,55,522],91:[850,349,417,202,394],92:[850,349,578,54,522],93:[850,349,417,22,214],123:[850,349,583,105,477],125:[850,349,583,105,477],160:[0,0,250,0,0],710:[744,-551,556,-8,564],732:[722,-597,556,1,554],770:[744,-551,0,-564,8],771:[722,-597,0,-555,-2],8214:[602,0,778,257,521],8593:[600,0,667,112,555],8595:[600,0,667,112,555],8657:[599,0,778,57,721],8659:[600,-1,778,57,721],8719:[750,250,944,55,888],8720:[750,250,944,55,888],8721:[750,250,1056,56,999],8730:[850,350,1000,111,1020],8739:[627,15,333,145,188],8741:[627,15,556,145,410],8747:[805,306,472,55,610],8748:[805,306,819,55,957],8749:[805,306,1166,55,1304],8750:[805,306,472,55,610],8896:[750,249,833,55,777],8897:[750,249,833,55,777],8898:[750,249,833,55,777],8899:[750,249,833,55,777],8968:[850,349,472,202,449],8969:[850,349,472,22,269],8970:[850,349,472,202,449],8971:[850,349,472,22,269],9168:[602,0,667,312,355],10216:[850,350,472,97,394],10217:[850,350,472,77,374],10752:[750,250,1111,56,1054],10753:[750,250,1111,56,1054],10754:[750,250,1111,56,1054],10756:[750,249,833,55,777],10758:[750,249,833,55,777]};a.FONTDATA.FONTS.MathJax_Size2={centerline:249,ascent:1360,descent:862,32:[0,0,250,0,0],40:[1150,649,597,180,561],41:[1150,649,597,35,416],47:[1150,649,811,56,754],91:[1150,649,472,224,455],92:[1150,649,811,54,754],93:[1150,649,472,16,247],123:[1150,649,667,119,547],125:[1150,649,667,119,547],160:[0,0,250,0,0],710:[772,-565,1000,-5,1004],732:[750,-611,1000,0,999],770:[772,-565,0,-1005,4],771:[750,-611,0,-1000,-1],8719:[950,450,1278,56,1221],8720:[950,450,1278,56,1221],8721:[950,450,1444,55,1388],8730:[1150,650,1000,111,1020],8747:[1360,862,556,55,944],8748:[1360,862,1084,55,1472],8749:[1360,862,1592,55,1980],8750:[1360,862,556,55,944],8896:[950,450,1111,55,1055],8897:[950,450,1111,55,1055],8898:[949,450,1111,55,1055],8899:[950,449,1111,55,1055],8968:[1150,649,528,224,511],8969:[1150,649,528,16,303],8970:[1150,649,528,224,511],8971:[1150,649,528,16,303],10216:[1150,649,611,112,524],10217:[1150,649,611,85,498],10752:[949,449,1511,56,1454],10753:[949,449,1511,56,1454],10754:[949,449,1511,56,1454],10756:[950,449,1111,55,1055],10758:[950,450,1111,55,1055]};a.FONTDATA.FONTS.MathJax_Size3={centerline:250,ascent:1450,descent:950,32:[0,0,250,0,0],40:[1450,949,736,209,701],41:[1450,949,736,34,526],47:[1450,949,1044,55,989],91:[1450,949,528,247,516],92:[1450,949,1044,56,988],93:[1450,949,528,11,280],123:[1450,949,750,130,618],125:[1450,949,750,131,618],160:[0,0,250,0,0],710:[772,-564,1444,-4,1447],732:[749,-610,1444,1,1442],770:[772,-564,0,-1448,3],771:[749,-610,0,-1443,-2],8730:[1450,950,1000,111,1020],8968:[1450,949,583,246,571],8969:[1450,949,583,11,336],8970:[1450,949,583,246,571],8971:[1450,949,583,11,336],10216:[1450,950,750,126,654],10217:[1450,949,750,94,623]};a.FONTDATA.FONTS.MathJax_Size4={centerline:250,ascent:1750,descent:1250,32:[0,0,250,0,0],40:[1750,1249,792,237,758],41:[1750,1249,792,33,554],47:[1750,1249,1278,56,1221],91:[1750,1249,583,269,577],92:[1750,1249,1278,56,1221],93:[1750,1249,583,5,313],123:[1750,1249,806,144,661],125:[1750,1249,806,144,661],160:[0,0,250,0,0],710:[845,-561,1889,-14,1902],732:[823,-583,1889,1,1885],770:[845,-561,0,-1903,13],771:[823,-583,0,-1888,-4],8730:[1750,1250,1000,111,1020],8968:[1750,1249,639,269,633],8969:[1750,1249,639,5,369],8970:[1750,1249,639,269,633],8971:[1750,1249,639,5,369],9115:[1154,655,875,291,843],9116:[610,10,875,291,417],9117:[1165,644,875,291,843],9118:[1154,655,875,31,583],9119:[610,10,875,457,583],9120:[1165,644,875,31,583],9121:[1154,645,667,319,666],9122:[602,0,667,319,403],9123:[1155,644,667,319,666],9124:[1154,645,667,0,347],9125:[602,0,667,263,347],9126:[1155,644,667,0,347],9127:[899,10,889,384,718],9128:[1160,660,889,170,504],9129:[10,899,889,384,718],9130:[310,10,889,384,504],9131:[899,10,889,170,504],9132:[1160,660,889,384,718],9133:[10,899,889,170,504],9143:[935,885,1056,111,742],10216:[1750,1248,806,140,703],10217:[1750,1248,806,103,665],57344:[625,14,1056,702,742],57345:[605,14,1056,702,1076],57680:[120,213,450,-24,460],57681:[120,213,450,-10,474],57682:[333,0,450,-24,460],57683:[333,0,450,-10,474],57684:[120,0,400,-10,410]};a.FONTDATA.FONTS.MathJax_Vector={centerline:257,ascent:714,descent:200,8594:[714,-516,500,29,471]};a.FONTDATA.FONTS["MathJax_Vector-Bold"]={centerline:256,ascent:723,descent:210,8594:[723,-513,575,33,542]};a.FONTDATA.FONTS[m][8722][0]=a.FONTDATA.FONTS[m][43][0];a.FONTDATA.FONTS[m][8722][1]=a.FONTDATA.FONTS[m][43][1];a.FONTDATA.FONTS[m][8942][0]+=400;a.FONTDATA.FONTS[m][8945][0]+=700;a.FONTDATA.FONTS[d][9130][0]-=20;a.FONTDATA.FONTS[d][9130][1]+=5;a.FONTDATA.FONTS[d][57684][0]+=200;a.FONTDATA.FONTS[d][57684][1]+=200;a.FONTDATA.FONTS[m][8773][2]-=222;a.FONTDATA.FONTS[m][8773][5]={rfix:-222};MathJax.Hub.Register.LoadHook(a.fontDir+"/TeX/Main-Bold.js",function(){a.FONTDATA.FONTS[s][8773][2]-=106;a.FONTDATA.FONTS[s][8773][5]={rfix:-106}});MathJax.Hub.Register.LoadHook(a.fontDir+"/TeX/Typewriter-Regular.js",function(){a.FONTDATA.FONTS.MathJax_Typewriter[32][2]+=275;a.FONTDATA.FONTS.MathJax_Typewriter[32][5]={rfix:275};a.FONTDATA.FONTS.MathJax_Typewriter[160][2]+=275;a.FONTDATA.FONTS.MathJax_Typewriter[160][5]={rfix:275}});MathJax.Hub.Insert(a.FONTDATA.FONTS[m],{remapCombining:{768:715,769:714,770:710,771:732,772:713,774:728,775:729,776:168,778:730,780:711,824:[47,o],8407:[8594,"MathJax_Vector"]},8192:[0,0,500,0,0,{space:1}],8193:[0,0,1000,0,0,{space:1}],8194:[0,0,500,0,0,{space:1}],8195:[0,0,1000,0,0,{space:1}],8196:[0,0,333,0,0,{space:1}],8197:[0,0,250,0,0,{space:1}],8198:[0,0,167,0,0,{space:1}],8201:[0,0,167,0,0,{space:1}],8202:[0,0,100,0,0,{space:1}],8203:[0,0,0,0,0,{space:1}],8204:[0,0,0,0,0,{space:1}],8289:[0,0,0,0,0,{space:1}],8290:[0,0,0,0,0,{space:1}],8291:[0,0,0,0,0,{space:1}],8292:[0,0,0,0,0,{space:1}],61152:[0,0,-575,0,0,{space:1}],61153:[0,0,-300,0,0,{space:1}],61160:[0,0,25,0,0,{space:1}]});MathJax.Hub.Insert(a.FONTDATA.FONTS["MathJax_Main-Italic"],{remapCombining:{768:[715,m],769:[714,m],770:[710,m],771:[732,m],772:[713,m],774:[728,m],775:[729,m],776:[168,m],778:[730,m],780:[711,m],824:[47,"MathJax_Vector"]}});MathJax.Hub.Insert(a.FONTDATA.FONTS["MathJax_Main-Bold"],{remapCombining:{768:715,769:714,770:710,771:732,772:713,774:728,775:729,776:168,778:730,780:711,824:[47,"MathJax_Math-BoldItalic"],8407:[8594,"MathJax_Vector-Bold"]}});a.FONTDATA.familyName=function(t){t=t.replace(/^MathJax_/,"");var v=(t+"-Regular").split(/-/);var u=v[0].toLowerCase().replace(/(?:igraphic|serif|writer|tur|tor)$/,"")+"-"+v[1].replace(/[^A-Z]/g,"");return"MJXc-TeX-"+u};(function(){var C=a.config.styles,z=a.FONTDATA.FONTS;var B=r.fileURL(a.webfontDir+"/TeX/otf"),t=r.fileURL(a.webfontDir+"/TeX/eot"),D=r.fileURL(a.webfontDir+"/TeX/woff");var x=[];for(var u in z){if(z.hasOwnProperty(u)){var A=a.FONTDATA.familyName(u),v=A;var y=((u+"-Regular").split(/-/))[1];z[u].className=A;var w={"font-family":A};u=u.replace(/-.*/,"");if(y==="Regular"){w.src="local('"+u+"'), local('"+u+"-Regular')"}else{w.src="local('"+u+" "+y+"'), local('"+u+"-"+y+"')"}x.push(w);if(y!=="Regular"){w={"font-family":A+"x",src:"local('"+u+"')"};if(y.match(/Bold/)){w["font-weight"]="bold"}if(y.match(/Italic/)){w["font-style"]="italic"}v+=","+A+"x";x.push(w)}w={"font-family":A+"w","src /*1*/":"url('"+t+"/"+u+"-"+y+".eot')","src /*2*/":["url('"+D+"/"+u+"-"+y+".woff') format('woff')","url('"+B+"/"+u+"-"+y+".otf') format('opentype')"].join(", ")};x.push(w);v+=","+A+"w";C["."+A]={"font-family":v}}}if(x.length){C["@font-face"]=x}})();a.fontLoaded("TeX/fontdata")})(MathJax.OutputJax.CommonHTML,MathJax.ElementJax.mml,MathJax.Ajax);
+(function(a,c,r){var q="2.7.9";var m="MathJax_Main",s="MathJax_Main-Bold",o="MathJax_Math-Italic",i="MathJax_AMS",h="MathJax_Size1",g="MathJax_Size2",f="MathJax_Size3",d="MathJax_Size4";var j="H",b="V",l={load:"extra",dir:j},e={load:"extra",dir:b};var k=[8722,m,0,0,0,-0.31,-0.31];var n=[61,m,0,0,0,0,0.1];var p=a.config.undefinedFamily;MathJax.Hub.Insert(a.config.styles,{".MJXc-TeX-unknown-R":{"font-family":p,"font-style":"normal","font-weight":"normal"},".MJXc-TeX-unknown-I":{"font-family":p,"font-style":"italic","font-weight":"normal"},".MJXc-TeX-unknown-B":{"font-family":p,"font-style":"normal","font-weight":"bold"},".MJXc-TeX-unknown-BI":{"font-family":p,"font-style":"italic","font-weight":"bold"}});a.TEX=a.TEXDEF;a.FONTDEF.TeX={version:q,baselineskip:1.2,lineH:0.8,lineD:0.2,FONTS:{MathJax_AMS:"TeX/AMS-Regular.js","MathJax_Caligraphic-Bold":"TeX/Caligraphic-Bold.js",MathJax_Fraktur:"TeX/Fraktur-Regular.js","MathJax_Fraktur-Bold":"TeX/Fraktur-Bold.js","MathJax_Math-BoldItalic":"TeX/Math-BoldItalic.js",MathJax_SansSerif:"TeX/SansSerif-Regular.js","MathJax_SansSerif-Bold":"TeX/SansSerif-Bold.js","MathJax_SansSerif-Italic":"TeX/SansSerif-Italic.js",MathJax_Script:"TeX/Script-Regular.js",MathJax_Typewriter:"TeX/Typewriter-Regular.js"},UNKNOWN:{R:{className:"MJXc-TeX-unknown-R"},I:{className:"MJXc-TeX-unknown-I"},B:{className:"MJXc-TeX-unknown-B"},BI:{className:"MJXc-TeX-unknown-BI"}},VARIANT:{normal:{fonts:[m,h,i],cache:{},offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,57696:[8594,"-TeX-vec"],8214:8741,8726:[8726,"-TeX-variant",true],8463:[8463,"-TeX-variant",true],8242:[39,"sans-serif-italic"],10744:[47,c.VARIANT.ITALIC]}},bold:{fonts:[s],bold:true,cache:{},chain:"normal",offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],57696:[8594,"-TeX-vec-bold"],8214:8741,8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[o,"MathJax_Main-Italic"],italic:true,cache:{},chain:"normal",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-BoldItalic"],bold:true,italic:true,cache:{},chain:"bold",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[i,m,h],cache:{}},fraktur:{fonts:["MathJax_Fraktur"],cache:{},chain:"normal"},"bold-fraktur":{fonts:["MathJax_Fraktur-Bold"],bold:true,cache:{},chain:"bold"},script:{fonts:["MathJax_Script"],cache:{},chain:"normal"},"bold-script":{fonts:["MathJax_Script"],bold:true,cache:{},chain:"bold"},"sans-serif":{fonts:["MathJax_SansSerif"],cache:{},chain:"normal"},"bold-sans-serif":{fonts:["MathJax_SansSerif-Bold"],bold:true,cache:{},chain:"bold"},"sans-serif-italic":{fonts:["MathJax_SansSerif-Italic"],italic:true,cache:{},chain:"italic"},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-Italic"],bold:true,italic:true,cache:{},chain:"italic"},monospace:{fonts:["MathJax_Typewriter"],cache:{},chain:"normal"},"-tex-caligraphic":{fonts:["MathJax_Caligraphic"],offsetA:65,variantA:"italic",cache:{},chain:"normal"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic"],cache:{},chain:"normal"},"-tex-mathit":{fonts:["MathJax_Main-Italic"],italic:true,noIC:true,cache:{},chain:"normal",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[i,m,h],cache:{},remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,c.VARIANT.NORMAL,true],8463:[8463,c.VARIANT.NORMAL,true]}},"-TeX-vec":{fonts:["MathJax_Vector"],cache:{}},"-TeX-vec-bold":{fonts:["MathJax_Vector-Bold"],cache:{}},"-largeOp":{fonts:[g,h,m,i],cache:{}},"-smallOp":{fonts:[h,m,i],cache:{}},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-Bold","MathJax_Main-Bold"],bold:true,cache:{},chain:"normal",offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-Bold","MathJax_Main-Bold"],bold:true,cache:{},chain:"normal"}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],REMAP:{10:32,8254:713,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,c.VARIANT.DOUBLESTRUCK],8459:[72,c.VARIANT.SCRIPT],8460:[72,c.VARIANT.FRAKTUR],8461:[72,c.VARIANT.DOUBLESTRUCK],8462:[104,c.VARIANT.ITALIC],8464:[74,c.VARIANT.SCRIPT],8465:[73,c.VARIANT.FRAKTUR],8466:[76,c.VARIANT.SCRIPT],8469:[78,c.VARIANT.DOUBLESTRUCK],8473:[80,c.VARIANT.DOUBLESTRUCK],8474:[81,c.VARIANT.DOUBLESTRUCK],8475:[82,c.VARIANT.SCRIPT],8476:[82,c.VARIANT.FRAKTUR],8477:[82,c.VARIANT.DOUBLESTRUCK],8484:[90,c.VARIANT.DOUBLESTRUCK],8486:[937,c.VARIANT.NORMAL],8488:[90,c.VARIANT.FRAKTUR],8492:[66,c.VARIANT.SCRIPT],8493:[67,c.VARIANT.FRAKTUR],8496:[69,c.VARIANT.SCRIPT],8497:[70,c.VARIANT.SCRIPT],8499:[77,c.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",},REMAPACCENT:{"\u0300":"\u02CB","\u0301":"\u02CA","\u0302":"\u02C6","\u0303":"\u02DC","\u0304":"\u02C9","\u0306":"\u02D8","\u0307":"\u02D9","\u0308":"\u00A8","\u030A":"\u02DA","\u030C":"\u02C7","\u20D7":"\uE160","\u2192":"\uE160","\u2032":"'","\u2035":"`","\u20D0":"\u21BC","\u20D1":"\u21C0","\u20D6":"\u2190","\u20E1":"\u2194","\u20F0":"*","\u20DB":"...","\u20DC":"...."},REMAPACCENTUNDER:{"\u20EC":"\u21C1","\u20ED":"\u21BD","\u20EE":"\u2190","\u20EF":"\u2192","\u20DB":"...","\u20DC":"...."},PLANE1MAP:[[119808,119833,65,c.VARIANT.BOLD],[119834,119859,97,c.VARIANT.BOLD],[119860,119885,65,c.VARIANT.ITALIC],[119886,119911,97,c.VARIANT.ITALIC],[119912,119937,65,c.VARIANT.BOLDITALIC],[119938,119963,97,c.VARIANT.BOLDITALIC],[119964,119989,65,c.VARIANT.SCRIPT],[120068,120093,65,c.VARIANT.FRAKTUR],[120094,120119,97,c.VARIANT.FRAKTUR],[120120,120145,65,c.VARIANT.DOUBLESTRUCK],[120172,120197,65,c.VARIANT.BOLDFRAKTUR],[120198,120223,97,c.VARIANT.BOLDFRAKTUR],[120224,120249,65,c.VARIANT.SANSSERIF],[120250,120275,97,c.VARIANT.SANSSERIF],[120276,120301,65,c.VARIANT.BOLDSANSSERIF],[120302,120327,97,c.VARIANT.BOLDSANSSERIF],[120328,120353,65,c.VARIANT.SANSSERIFITALIC],[120354,120379,97,c.VARIANT.SANSSERIFITALIC],[120432,120457,65,c.VARIANT.MONOSPACE],[120458,120483,97,c.VARIANT.MONOSPACE],[120488,120513,913,c.VARIANT.BOLD],[120546,120570,913,c.VARIANT.ITALIC],[120572,120603,945,c.VARIANT.ITALIC],[120604,120628,913,c.VARIANT.BOLDITALIC],[120630,120661,945,c.VARIANT.BOLDITALIC],[120662,120686,913,c.VARIANT.BOLDSANSSERIF],[120720,120744,913,c.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,c.VARIANT.BOLD],[120802,120811,48,c.VARIANT.SANSSERIF],[120812,120821,48,c.VARIANT.BOLDSANSSERIF],[120822,120831,48,c.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(w,v){for(var u=0,t=this.PLANE1MAP.length;u<t;u++){if(w<this.PLANE1MAP[u][0]){break}if(w<=this.PLANE1MAP[u][1]){w=w-this.PLANE1MAP[u][0]+this.PLANE1MAP[u][2];if(this.REMAPGREEK[w]){w=this.REMAPGREEK[w]}v=this.VARIANT[this.PLANE1MAP[u][3]];break}}return{n:w,variant:v}},DELIMITERS:{40:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9115,d],ext:[9116,d],bot:[9117,d]}},41:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9118,d],ext:[9119,d],bot:[9120,d]}},47:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]]},91:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9121,d],ext:[9122,d],bot:[9123,d]}},92:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]]},93:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9124,d],ext:[9125,d],bot:[9126,d]}},123:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9127,d],mid:[9128,d],bot:[9129,d],ext:[9130,d]}},124:{dir:b,HW:[[1,m]],stretch:{ext:[8739,m]}},125:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9131,d],mid:[9132,d],bot:[9133,d],ext:[9130,d]}},175:{dir:j,HW:[[0.59,m]],stretch:{rep:[175,m]}},710:{dir:j,HW:[[0.267+0.25,m],[0.567+0.25,h],[1.005+0.33,g],[1.447+0.33,f],[1.909,d]]},732:{dir:j,HW:[[0.333+0.25,m],[0.555+0.25,h],[1+0.33,g],[1.443+0.33,f],[1.887,d]]},8211:{dir:j,HW:[[0.5,m]],stretch:{rep:[8211,m]}},8214:{dir:b,HW:[[0.602,h],[1,m,null,8741]],stretch:{ext:[8741,m]}},8592:{dir:j,HW:[[1,m]],stretch:{left:[8592,m],rep:k}},8593:{dir:b,HW:[[0.888,m]],stretch:{top:[8593,h],ext:[9168,h]}},8594:{dir:j,HW:[[1,m]],stretch:{rep:k,right:[8594,m]}},8595:{dir:b,HW:[[0.888,m]],stretch:{ext:[9168,h],bot:[8595,h]}},8596:{dir:j,HW:[[1,m]],stretch:{left:[8592,m],rep:k,right:[8594,m]}},8597:{dir:b,HW:[[1.044,m]],stretch:{top:[8593,h],ext:[9168,h],bot:[8595,h]}},8656:{dir:j,HW:[[1,m]],stretch:{left:[8656,m],rep:n}},8657:{dir:b,HW:[[0.888,m]],stretch:{top:[8657,h],ext:[8214,h]}},8658:{dir:j,HW:[[1,m]],stretch:{rep:n,right:[8658,m]}},8659:{dir:b,HW:[[0.888,m]],stretch:{ext:[8214,h],bot:[8659,h]}},8660:{dir:j,HW:[[1,m]],stretch:{left:[8656,m],rep:n,right:[8658,m]}},8661:{dir:b,HW:[[1.044,m]],stretch:{top:[8657,h],ext:[8214,h],bot:[8659,h]}},8722:{dir:j,HW:[[0.778,m]],stretch:{rep:[8722,m]}},8730:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[57345,d],ext:[57344,d],bot:[9143,d],fullExtenders:true}},8739:{dir:b,HW:[[1,m]],stretch:{ext:[8739,m]}},8741:{dir:b,HW:[[1,m]],stretch:{ext:[8741,m]}},8968:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9121,d],ext:[9122,d]}},8969:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{top:[9124,d],ext:[9125,d]}},8970:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{ext:[9122,d],bot:[9123,d]}},8971:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]],stretch:{ext:[9125,d],bot:[9126,d]}},9130:{dir:b,HW:[[0.32,d]],stretch:{top:[9130,d],ext:[9130,d],bot:[9130,d]}},9136:{dir:b,HW:[[0.989,m]],stretch:{top:[9127,d],ext:[9130,d],bot:[9133,d]}},9137:{dir:b,HW:[[0.989,m]],stretch:{top:[9131,d],ext:[9130,d],bot:[9129,d]}},9168:{dir:b,HW:[[0.602,h],[1,m,null,8739]],stretch:{ext:[8739,m]}},9182:{dir:j,HW:[],stretch:{min:0.9,left:[57680,d],mid:[[57683,57682],d],right:[57681,d],rep:[57684,d]}},9183:{dir:j,HW:[],stretch:{min:0.9,left:[57682,d],mid:[[57681,57680],d],right:[57683,d],rep:[57684,d]}},10216:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]]},10217:{dir:b,HW:[[1,m],[1.2,h],[1.8,g],[2.4,f],[3,d]]},10222:{dir:b,HW:[[0.989,m]],stretch:{top:[9127,d],ext:[9130,d],bot:[9129,d]}},10223:{dir:b,HW:[[0.989,m]],stretch:{top:[9131,d],ext:[9130,d],bot:[9133,d]}},45:{alias:8722,dir:j},94:{alias:710,dir:j},95:{alias:8211,dir:j},126:{alias:732,dir:j},713:{alias:175,dir:j},770:{alias:710,dir:j},771:{alias:732,dir:j},780:{alias:711,dir:j},818:{alias:8211,dir:j},8212:{alias:8211,dir:j},8213:{alias:8211,dir:j},8215:{alias:8211,dir:j},8254:{alias:175,dir:j},8407:{alias:8594,dir:j},8725:{alias:47,dir:b},9001:{alias:10216,dir:b},9002:{alias:10217,dir:b},9135:{alias:8211,dir:j},9472:{alias:8211,dir:j},10072:{alias:8739,dir:b},12296:{alias:10216,dir:b},12297:{alias:10217,dir:b},65079:{alias:9182,dir:j},65080:{alias:9183,dir:j},61:l,8606:l,8608:l,8612:l,8613:e,8614:l,8615:e,8624:e,8625:e,8636:l,8637:l,8638:e,8639:e,8640:l,8641:l,8642:e,8643:e,8666:l,8667:l,9140:l,9141:l,9180:l,9181:l,9184:l,9185:l,10502:l,10503:l,10574:l,10575:e,10576:l,10577:e,10586:l,10587:l,10588:e,10589:e,10590:l,10591:l,10592:e,10593:e,8978:{alias:9180,dir:j},8994:{alias:9180,dir:j},8995:{alias:9181,dir:j},10229:{alias:8592,dir:j},10230:{alias:8594,dir:j},10231:{alias:8596,dir:j},10232:{alias:8656,dir:j},10233:{alias:8658,dir:j},10234:{alias:8660,dir:j},10235:{alias:8612,dir:j},10236:{alias:8614,dir:j},10237:{alias:10502,dir:j},10238:{alias:10503,dir:j},57696:{alias:8592,dir:j},}};a.FONTDATA=a.FONTDEF.TeX;a.FONTDATA.FONTS.MathJax_Caligraphic={centerline:287,ascent:789,descent:216,skew:{65:0.194,66:0.139,67:0.139,68:0.0833,69:0.111,70:0.111,71:0.111,72:0.111,73:0.0278,74:0.167,75:0.0556,76:0.139,77:0.139,78:0.0833,79:0.111,80:0.0833,81:0.111,82:0.0833,83:0.139,84:0.0278,85:0.0833,86:0.0278,87:0.0833,88:0.139,89:0.0833,90:0.139},32:[0,0,250,0,0],48:[452,22,500,39,460],49:[453,0,500,86,426],50:[453,0,500,44,449],51:[452,216,500,42,456],52:[464,194,500,28,471],53:[453,216,500,50,448],54:[665,22,500,42,456],55:[463,216,500,55,485],56:[666,21,500,43,456],57:[453,216,500,42,457],65:[728,50,798,30,819],66:[705,22,657,32,664],67:[705,25,527,12,533],68:[683,0,771,19,766],69:[705,22,528,30,564],70:[683,32,719,18,829],71:[704,119,595,44,599],72:[683,48,845,18,803],73:[683,0,545,-30,642],74:[683,119,678,47,839],75:[705,22,762,32,732],76:[705,22,690,32,656],77:[705,50,1201,28,1137],78:[789,50,820,-27,979],79:[705,22,796,58,777],80:[683,57,696,19,733],81:[705,131,817,114,787],82:[682,22,848,19,837],83:[705,22,606,18,642],84:[717,68,545,34,833],85:[683,28,626,-17,687],86:[683,52,613,25,658],87:[683,53,988,25,1034],88:[683,0,713,52,807],89:[683,143,668,31,714],90:[683,0,725,37,767],160:[0,0,250,0,0]};a.FONTDATA.FONTS["MathJax_Main-Bold"]={centerline:342,ascent:951,descent:267,weight:"bold",file:"TeX/Main-Bold.js",Extra:[160,168,172,[175,177],180,215,247,305,567,[710,715],[728,732],[768,780],824,[8194,8198],8201,8202,8211,8212,8216,8217,8220,8221,8224,8225,8230,8242,8407,[8463,8467],8472,8476,8501,[8592,8601],8614,8617,8618,8636,8637,8640,8641,8652,[8656,8661],[8704,8715],[8722,8730],[8733,8736],[8739,8764],8768,8771,8773,8776,8781,8784,8800,8801,8804,8805,8810,8811,8826,8827,8834,8835,8838,8839,8846,[8849,8857],[8866,8869],8872,[8900,8904],[8942,8945],[8968,8971],8994,8995,9651,9657,9661,9667,9711,[9824,9827],[9837,9839],10216,10217,[10229,10236],10815,10927,10928],skew:{305:0.0319,567:0.0958,8463:-0.0319,8467:0.128,8706:0.0958},32:[0,0,250,0,0],33:[705,-1,350,89,260],34:[694,-329,603,38,492],35:[694,193,958,64,893],36:[750,56,575,64,510],37:[750,56,958,65,893],38:[705,11,894,48,836],39:[694,-329,319,74,261],40:[750,249,447,103,382],41:[750,249,447,64,343],42:[750,-306,575,73,501],43:[633,131,894,64,829],44:[171,194,319,74,258],45:[278,-166,383,13,318],46:[171,-1,319,74,245],47:[750,250,575,63,511],48:[654,10,575,45,529],49:[655,0,575,80,494],50:[654,0,575,57,517],51:[655,11,575,47,526],52:[656,0,575,32,542],53:[655,11,575,57,517],54:[655,11,575,48,526],55:[676,11,575,64,558],56:[654,11,575,48,526],57:[654,11,575,48,526],58:[444,-1,319,74,245],59:[444,194,319,74,248],60:[587,85,894,96,797],61:[393,-109,894,64,829],62:[587,85,894,96,797],63:[700,-1,543,65,478],64:[699,6,894,64,829],65:[698,0,869,40,828],66:[686,0,818,39,752],67:[697,11,831,64,766],68:[686,0,882,39,817],69:[680,0,756,39,723],70:[680,0,724,39,675],71:[697,10,904,64,845],72:[686,0,900,39,860],73:[686,0,436,25,410],74:[686,11,594,8,527],75:[686,0,901,39,852],76:[686,0,692,39,643],77:[686,0,1092,39,1052],78:[686,0,900,39,860],79:[696,10,864,64,798],80:[686,0,786,39,721],81:[696,193,864,64,805],82:[686,11,862,39,858],83:[697,11,639,64,574],84:[675,0,800,41,758],85:[686,11,885,39,845],86:[686,7,869,25,843],87:[686,7,1189,24,1164],88:[686,0,869,33,835],89:[686,0,869,19,849],90:[686,0,703,64,645],91:[750,250,319,128,293],92:[750,250,575,63,511],93:[750,250,319,25,190],94:[694,-520,575,126,448],95:[-10,61,575,0,574],96:[706,-503,575,114,338],97:[453,6,559,32,558],98:[694,6,639,29,600],99:[453,6,511,39,478],100:[694,6,639,38,609],101:[452,6,527,32,494],102:[700,0,351,40,452],103:[455,201,575,30,558],104:[694,0,639,37,623],105:[695,0,319,40,294],106:[695,200,351,-71,274],107:[694,0,607,29,587],108:[694,0,319,40,301],109:[450,0,958,37,942],110:[450,0,639,37,623],111:[452,5,575,32,542],112:[450,194,639,29,600],113:[450,194,607,38,609],114:[450,0,474,29,442],115:[453,6,454,38,414],116:[635,5,447,21,382],117:[450,6,639,37,623],118:[444,3,607,26,580],119:[444,4,831,25,805],120:[444,0,607,21,586],121:[444,200,607,23,580],122:[444,0,511,32,462],123:[750,250,575,70,504],124:[750,249,319,129,190],125:[750,250,575,70,504],126:[344,-202,575,96,478],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,63,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,0,831,51,779]};a.FONTDATA.FONTS["MathJax_Main-Italic"]={centerline:250,ascent:750,descent:250,style:"italic",32:[0,0,250,0,0],33:[716,0,307,107,380],34:[694,-379,514,176,538],35:[694,194,818,115,828],37:[750,56,818,145,847],38:[716,22,767,127,802],39:[694,-379,307,213,377],40:[750,250,409,144,517],41:[750,250,409,17,390],42:[750,-320,511,195,584],43:[557,57,767,139,753],44:[121,194,307,69,232],45:[251,-180,358,84,341],46:[121,0,307,107,231],47:[750,250,511,19,617],48:[665,21,511,110,562],49:[666,0,511,110,468],50:[666,22,511,76,551],51:[666,22,511,96,562],52:[666,194,511,46,478],53:[666,22,511,106,567],54:[665,22,511,120,565],55:[666,22,511,136,634],56:[666,21,511,99,553],57:[666,22,511,107,553],58:[431,0,307,107,308],59:[431,194,307,70,308],61:[367,-133,767,116,776],63:[716,0,511,195,551],64:[705,11,767,152,789],65:[716,0,743,58,696],66:[683,0,704,57,732],67:[705,21,716,150,812],68:[683,0,755,56,775],69:[680,0,678,54,743],70:[680,-1,653,54,731],71:[705,22,774,150,812],72:[683,0,743,54,860],73:[683,0,386,49,508],74:[683,21,525,78,622],75:[683,0,769,54,859],76:[683,0,627,54,628],77:[683,0,897,58,1010],78:[683,0,743,54,860],79:[704,22,767,149,788],80:[683,0,678,55,729],81:[704,194,767,149,788],82:[683,22,729,55,723],83:[705,22,562,74,633],84:[677,0,716,171,806],85:[683,22,743,194,860],86:[683,22,743,205,868],87:[683,22,999,205,1124],88:[683,0,743,50,825],89:[683,0,743,198,875],90:[683,0,613,80,704],91:[750,250,307,73,446],93:[750,250,307,-14,359],94:[694,-527,511,260,528],95:[-25,62,511,91,554],97:[442,11,511,101,543],98:[694,11,460,108,467],99:[441,10,460,103,469],100:[694,11,511,101,567],101:[442,10,460,107,470],102:[705,204,307,-23,450],103:[442,205,460,46,494],104:[694,11,511,69,544],105:[656,10,307,75,340],106:[656,204,307,-32,364],107:[694,11,460,69,498],108:[694,11,256,87,312],109:[442,11,818,75,851],110:[442,11,562,75,595],111:[442,11,511,103,517],112:[442,194,511,6,518],113:[442,194,460,101,504],114:[442,11,422,75,484],115:[442,11,409,76,418],116:[626,11,332,87,373],117:[441,11,537,75,570],118:[443,10,460,75,492],119:[443,11,664,75,696],120:[442,11,464,58,513],121:[441,205,486,75,522],122:[442,11,409,54,466],126:[318,-208,511,246,571],160:[0,0,250,0,0],163:[714,11,769,88,699],305:[441,10,307,75,340],567:[442,204,332,-32,327],768:[697,-500,0,-222,-74],769:[697,-500,0,-173,39],770:[694,-527,0,-251,17],771:[668,-558,0,-265,60],772:[589,-544,0,-282,54],774:[694,-515,0,-237,62],775:[669,-548,0,-165,-41],776:[669,-554,0,-251,45],778:[716,-542,0,-199,3],779:[697,-503,0,-248,65],780:[638,-502,0,-236,29],915:[680,0,627,54,705],916:[716,0,818,70,751],920:[704,22,767,149,788],923:[716,0,692,58,646],926:[677,0,664,74,754],928:[680,0,743,54,859],931:[683,0,716,80,782],933:[705,0,767,213,832],934:[683,0,716,159,728],936:[683,0,767,207,824],937:[705,0,716,100,759],8211:[285,-248,511,91,554],8212:[285,-248,1022,117,1038],8216:[694,-379,307,197,362],8217:[694,-379,307,213,377],8220:[694,-379,514,243,606],8221:[694,-379,514,176,538],8463:[695,13,540,42,562]};a.FONTDATA.FONTS.MathJax_Main={centerline:314,ascent:900,descent:272,skew:{305:0.0278,567:0.0833,8467:0.111,8472:0.111,8706:0.0833},32:[0,0,250,0,0],33:[716,-1,278,78,199],34:[694,-379,500,34,372],35:[694,194,833,56,777],36:[750,56,500,55,444],37:[750,56,833,56,776],38:[716,22,778,42,727],39:[694,-379,278,78,212],40:[750,250,389,94,333],41:[750,250,389,55,294],42:[750,-320,500,64,435],43:[583,82,778,56,722],44:[121,194,278,78,210],45:[252,-179,333,11,277],46:[120,0,278,78,199],47:[750,250,500,56,445],48:[666,22,500,39,460],49:[666,0,500,83,427],50:[666,0,500,50,449],51:[665,22,500,42,457],52:[677,0,500,28,471],53:[666,22,500,50,449],54:[666,22,500,42,456],55:[676,22,500,55,485],56:[666,22,500,43,457],57:[666,22,500,42,456],58:[430,0,278,78,199],59:[430,194,278,78,202],60:[540,40,778,83,694],61:[367,-133,778,56,722],62:[540,40,778,83,694],63:[705,-1,472,55,416],64:[705,11,778,56,722],65:[716,0,750,32,717],66:[683,0,708,28,651],67:[705,21,722,56,666],68:[683,0,764,27,708],69:[680,0,681,25,652],70:[680,0,653,25,610],71:[705,22,785,56,735],72:[683,0,750,25,724],73:[683,0,361,21,339],74:[683,22,514,25,465],75:[683,0,778,25,736],76:[683,0,625,25,582],77:[683,0,917,29,887],78:[683,0,750,25,724],79:[705,22,778,56,722],80:[683,0,681,27,624],81:[705,193,778,56,728],82:[683,22,736,27,732],83:[705,22,556,55,500],84:[677,0,722,36,685],85:[683,22,750,25,724],86:[683,22,750,19,730],87:[683,22,1028,18,1009],88:[683,0,750,23,726],89:[683,0,750,11,738],90:[683,0,611,55,560],91:[750,250,278,118,255],92:[750,250,500,56,444],93:[750,250,278,22,159],94:[694,-531,500,112,387],95:[-25,62,500,0,499],96:[699,-505,500,106,295],97:[448,11,500,34,493],98:[694,11,556,20,522],99:[448,11,444,34,415],100:[694,11,556,34,535],101:[448,11,444,28,415],102:[705,0,306,26,372],103:[453,206,500,29,485],104:[694,0,556,25,542],105:[669,0,278,26,255],106:[669,205,306,-55,218],107:[694,0,528,20,511],108:[694,0,278,26,263],109:[442,0,833,25,819],110:[442,0,556,25,542],111:[448,10,500,28,471],112:[442,194,556,20,522],113:[442,194,528,33,535],114:[442,0,392,20,364],115:[448,11,394,33,359],116:[615,10,389,18,333],117:[442,11,556,25,542],118:[431,11,528,19,508],119:[431,11,722,18,703],120:[431,0,528,11,516],121:[431,204,528,19,508],122:[431,0,444,28,401],123:[750,250,500,65,434],124:[750,249,278,119,159],125:[750,250,500,65,434],126:[318,-215,500,83,416],160:[0,0,250,0,0],168:[669,-554,500,95,404],172:[356,-89,667,56,611],175:[590,-544,500,69,430],176:[715,-542,500,147,352],177:[666,0,778,56,722],180:[699,-505,500,203,393],215:[491,-9,778,147,630],247:[537,36,778,56,721],305:[442,0,278,26,255],567:[442,205,306,-55,218],710:[694,-531,500,112,387],711:[644,-513,500,114,385],713:[590,-544,500,69,430],714:[699,-505,500,203,393],715:[699,-505,500,106,295],728:[694,-515,500,92,407],729:[669,-549,500,190,309],732:[668,-565,500,83,416],730:[715,-542,500,147,352],768:[699,-505,0,-394,-205],769:[699,-505,0,-297,-107],770:[694,-531,0,-388,-113],771:[668,-565,0,-417,-84],772:[590,-544,0,-431,-70],774:[694,-515,0,-408,-93],775:[669,-549,0,-310,-191],776:[669,-554,0,-405,-96],778:[715,-542,0,-353,-148],779:[701,-510,0,-378,-80],780:[644,-513,0,-386,-115],824:[716,215,0,-639,-140],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677],8194:[0,0,500,0,0],8195:[0,0,999,0,0],8196:[0,0,333,0,0],8197:[0,0,250,0,0],8198:[0,0,167,0,0],8201:[0,0,167,0,0],8202:[0,0,83,0,0],8211:[285,-248,500,0,499],8212:[285,-248,1000,0,999],8216:[694,-379,278,64,198],8217:[694,-379,278,78,212],8220:[694,-379,500,128,466],8221:[694,-379,500,34,372],8224:[705,216,444,55,389],8225:[705,205,444,55,389],8230:[120,0,1172,78,1093],8242:[560,-43,275,30,262],8407:[714,-516,0,-471,-29],8463:[695,13,540,42,562],8465:[705,10,722,55,693],8467:[705,20,417,6,397],8472:[453,216,636,67,625],8476:[716,22,722,40,715],8501:[694,0,611,55,555],8592:[511,11,1000,55,944],8593:[694,193,500,17,483],8594:[511,11,1000,56,944],8595:[694,194,500,17,483],8596:[511,11,1000,55,944],8597:[772,272,500,17,483],8598:[720,195,1000,29,944],8599:[720,195,1000,55,970],8600:[695,220,1000,55,970],8601:[695,220,1000,29,944],8614:[511,11,1000,55,944],8617:[511,11,1126,55,1070],8618:[511,11,1126,55,1070],8636:[511,-230,1000,55,944],8637:[270,11,1000,55,944],8640:[511,-230,1000,56,944],8641:[270,11,1000,56,944],8652:[671,11,1000,55,944],8656:[525,24,1000,56,944],8657:[694,194,611,31,579],8658:[525,24,1000,56,944],8659:[694,194,611,31,579],8660:[526,25,1000,34,966],8661:[772,272,611,31,579],8704:[694,22,556,0,556],8706:[715,22,531,42,566],8707:[694,0,556,56,500],8709:[772,78,500,39,460],8711:[683,33,833,46,786],8712:[540,40,667,84,583],8713:[716,215,667,84,583],8715:[540,40,667,83,582],8722:[270,-230,778,84,694],8723:[500,166,778,56,722],8725:[750,250,500,56,445],8726:[750,250,500,56,444],8727:[465,-35,500,64,435],8728:[444,-55,500,55,444],8729:[444,-55,500,55,444],8730:[800,200,833,72,853],8733:[442,11,778,56,722],8734:[442,11,1000,55,944],8736:[694,0,722,55,666],8739:[750,249,278,119,159],8741:[750,250,500,132,367],8743:[598,22,667,55,611],8744:[598,22,667,55,611],8745:[598,22,667,55,611],8746:[598,22,667,55,611],8747:[716,216,417,55,472],8764:[367,-133,778,55,722],8768:[583,83,278,55,222],8771:[464,-36,778,55,722],8773:[589,-22,1000,55,722],8776:[483,-55,778,55,722],8781:[484,-16,778,55,722],8784:[670,-133,778,56,722],8800:[716,215,778,56,722],8801:[464,-36,778,56,722],8804:[636,138,778,83,694],8805:[636,138,778,83,694],8810:[568,67,1000,56,944],8811:[567,67,1000,55,944],8826:[539,41,778,84,694],8827:[539,41,778,83,694],8834:[540,40,778,84,694],8835:[540,40,778,83,693],8838:[636,138,778,84,694],8839:[636,138,778,83,693],8846:[598,22,667,55,611],8849:[636,138,778,84,714],8850:[636,138,778,64,694],8851:[598,0,667,61,605],8852:[598,0,667,61,605],8853:[583,83,778,56,722],8854:[583,83,778,56,722],8855:[583,83,778,56,722],8856:[583,83,778,56,722],8857:[583,83,778,56,722],8866:[694,0,611,55,555],8867:[694,0,611,55,555],8868:[668,0,778,55,723],8869:[668,0,778,55,723],8872:[750,249,867,119,811],8900:[488,-12,500,12,488],8901:[310,-190,278,78,199],8902:[486,-16,500,3,497],8904:[505,5,900,26,873],8942:[900,30,278,78,199],8943:[310,-190,1172,78,1093],8945:[820,-100,1282,133,1148],8968:[750,250,444,174,422],8969:[750,250,444,21,269],8970:[750,250,444,174,422],8971:[750,250,444,21,269],8994:[388,-122,1000,55,944],8995:[378,-134,1000,55,944],9136:[744,244,412,55,357],9137:[744,244,412,56,357],9651:[716,0,889,59,828],9657:[505,5,500,26,474],9661:[500,215,889,59,828],9667:[505,5,500,26,473],9711:[715,215,1000,56,944],9824:[727,130,778,55,723],9825:[716,33,778,55,723],9826:[727,162,778,55,723],9827:[726,130,778,28,750],9837:[750,22,389,55,332],9838:[734,223,389,65,324],9839:[723,223,389,55,333],10216:[750,250,389,110,333],10217:[750,250,389,55,278],10222:[744,244,412,173,357],10223:[744,244,412,56,240],10229:[511,11,1609,55,1525],10230:[511,11,1638,84,1553],10231:[511,11,1859,55,1803],10232:[525,24,1609,56,1553],10233:[525,24,1638,56,1582],10234:[525,24,1858,56,1802],10236:[511,11,1638,55,1553],10815:[683,0,750,28,721],10927:[636,138,778,84,694],10928:[636,138,778,83,694]};a.FONTDATA.FONTS["MathJax_Math-Italic"]={centerline:250,ascent:717,descent:218,style:"italic",skew:{65:0.139,66:0.0833,67:0.0833,68:0.0556,69:0.0833,70:0.0833,71:0.0833,72:0.0556,73:0.111,74:0.167,75:0.0556,76:0.0278,77:0.0833,78:0.0833,79:0.0833,80:0.0833,81:0.0833,82:0.0833,83:0.0833,84:0.0833,85:0.0278,88:0.0833,90:0.0833,99:0.0556,100:0.167,101:0.0556,102:0.167,103:0.0278,104:-0.0278,108:0.0833,111:0.0556,112:0.0833,113:0.0833,114:0.0556,115:0.0556,116:0.0833,117:0.0278,118:0.0278,119:0.0833,120:0.0278,121:0.0556,122:0.0556,915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],47:[716,215,778,139,638],65:[716,0,750,35,726],66:[683,0,759,35,756],67:[705,22,715,50,760],68:[683,0,828,33,803],69:[680,0,738,31,764],70:[680,0,643,31,749],71:[705,22,786,50,760],72:[683,0,831,31,888],73:[683,0,440,26,504],74:[683,22,555,57,633],75:[683,0,849,31,889],76:[683,0,681,32,647],77:[683,0,970,35,1051],78:[683,0,803,31,888],79:[704,22,763,50,740],80:[683,0,642,33,751],81:[704,194,791,50,740],82:[683,21,759,33,755],83:[705,22,613,52,645],84:[677,0,584,21,704],85:[683,22,683,60,767],86:[683,22,583,52,769],87:[683,22,944,51,1048],88:[683,0,828,26,852],89:[683,-1,581,30,763],90:[683,0,683,58,723],97:[441,10,529,33,506],98:[694,11,429,40,422],99:[442,11,433,34,429],100:[694,10,520,33,523],101:[442,11,466,39,429],102:[705,205,490,55,550],103:[442,205,477,10,480],104:[694,11,576,48,555],105:[661,11,345,21,302],106:[661,204,412,-12,403],107:[694,11,521,48,503],108:[694,11,298,38,266],109:[442,11,878,21,857],110:[442,11,600,21,580],111:[441,11,485,34,476],112:[442,194,503,-39,497],113:[442,194,446,33,460],114:[442,11,451,21,430],115:[442,10,469,53,419],116:[626,11,361,19,330],117:[442,11,572,21,551],118:[443,11,485,21,467],119:[443,11,716,21,690],120:[442,11,572,35,522],121:[442,205,490,21,496],122:[442,11,465,35,468],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[677,0,742,53,777],928:[680,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]};a.FONTDATA.FONTS.MathJax_Size1={centerline:250,ascent:850,descent:350,32:[0,0,250,0,0],40:[850,349,458,152,422],41:[850,349,458,35,305],47:[850,349,578,55,522],91:[850,349,417,202,394],92:[850,349,578,54,522],93:[850,349,417,22,214],123:[850,349,583,105,477],125:[850,349,583,105,477],160:[0,0,250,0,0],710:[744,-551,556,-8,564],732:[722,-597,556,1,554],770:[744,-551,0,-564,8],771:[722,-597,0,-555,-2],8214:[602,0,778,257,521],8593:[600,0,667,112,555],8595:[600,0,667,112,555],8657:[599,0,778,57,721],8659:[600,-1,778,57,721],8719:[750,250,944,55,888],8720:[750,250,944,55,888],8721:[750,250,1056,56,999],8730:[850,350,1000,111,1020],8739:[627,15,333,145,188],8741:[627,15,556,145,410],8747:[805,306,472,55,610],8748:[805,306,819,55,957],8749:[805,306,1166,55,1304],8750:[805,306,472,55,610],8896:[750,249,833,55,777],8897:[750,249,833,55,777],8898:[750,249,833,55,777],8899:[750,249,833,55,777],8968:[850,349,472,202,449],8969:[850,349,472,22,269],8970:[850,349,472,202,449],8971:[850,349,472,22,269],9168:[602,0,667,312,355],10216:[850,350,472,97,394],10217:[850,350,472,77,374],10752:[750,250,1111,56,1054],10753:[750,250,1111,56,1054],10754:[750,250,1111,56,1054],10756:[750,249,833,55,777],10758:[750,249,833,55,777]};a.FONTDATA.FONTS.MathJax_Size2={centerline:249,ascent:1360,descent:862,32:[0,0,250,0,0],40:[1150,649,597,180,561],41:[1150,649,597,35,416],47:[1150,649,811,56,754],91:[1150,649,472,224,455],92:[1150,649,811,54,754],93:[1150,649,472,16,247],123:[1150,649,667,119,547],125:[1150,649,667,119,547],160:[0,0,250,0,0],710:[772,-565,1000,-5,1004],732:[750,-611,1000,0,999],770:[772,-565,0,-1005,4],771:[750,-611,0,-1000,-1],8719:[950,450,1278,56,1221],8720:[950,450,1278,56,1221],8721:[950,450,1444,55,1388],8730:[1150,650,1000,111,1020],8747:[1360,862,556,55,944],8748:[1360,862,1084,55,1472],8749:[1360,862,1592,55,1980],8750:[1360,862,556,55,944],8896:[950,450,1111,55,1055],8897:[950,450,1111,55,1055],8898:[949,450,1111,55,1055],8899:[950,449,1111,55,1055],8968:[1150,649,528,224,511],8969:[1150,649,528,16,303],8970:[1150,649,528,224,511],8971:[1150,649,528,16,303],10216:[1150,649,611,112,524],10217:[1150,649,611,85,498],10752:[949,449,1511,56,1454],10753:[949,449,1511,56,1454],10754:[949,449,1511,56,1454],10756:[950,449,1111,55,1055],10758:[950,450,1111,55,1055]};a.FONTDATA.FONTS.MathJax_Size3={centerline:250,ascent:1450,descent:950,32:[0,0,250,0,0],40:[1450,949,736,209,701],41:[1450,949,736,34,526],47:[1450,949,1044,55,989],91:[1450,949,528,247,516],92:[1450,949,1044,56,988],93:[1450,949,528,11,280],123:[1450,949,750,130,618],125:[1450,949,750,131,618],160:[0,0,250,0,0],710:[772,-564,1444,-4,1447],732:[749,-610,1444,1,1442],770:[772,-564,0,-1448,3],771:[749,-610,0,-1443,-2],8730:[1450,950,1000,111,1020],8968:[1450,949,583,246,571],8969:[1450,949,583,11,336],8970:[1450,949,583,246,571],8971:[1450,949,583,11,336],10216:[1450,950,750,126,654],10217:[1450,949,750,94,623]};a.FONTDATA.FONTS.MathJax_Size4={centerline:250,ascent:1750,descent:1250,32:[0,0,250,0,0],40:[1750,1249,792,237,758],41:[1750,1249,792,33,554],47:[1750,1249,1278,56,1221],91:[1750,1249,583,269,577],92:[1750,1249,1278,56,1221],93:[1750,1249,583,5,313],123:[1750,1249,806,144,661],125:[1750,1249,806,144,661],160:[0,0,250,0,0],710:[845,-561,1889,-14,1902],732:[823,-583,1889,1,1885],770:[845,-561,0,-1903,13],771:[823,-583,0,-1888,-4],8730:[1750,1250,1000,111,1020],8968:[1750,1249,639,269,633],8969:[1750,1249,639,5,369],8970:[1750,1249,639,269,633],8971:[1750,1249,639,5,369],9115:[1154,655,875,291,843],9116:[610,10,875,291,417],9117:[1165,644,875,291,843],9118:[1154,655,875,31,583],9119:[610,10,875,457,583],9120:[1165,644,875,31,583],9121:[1154,645,667,319,666],9122:[602,0,667,319,403],9123:[1155,644,667,319,666],9124:[1154,645,667,0,347],9125:[602,0,667,263,347],9126:[1155,644,667,0,347],9127:[899,10,889,384,718],9128:[1160,660,889,170,504],9129:[10,899,889,384,718],9130:[310,10,889,384,504],9131:[899,10,889,170,504],9132:[1160,660,889,384,718],9133:[10,899,889,170,504],9143:[935,885,1056,111,742],10216:[1750,1248,806,140,703],10217:[1750,1248,806,103,665],57344:[625,14,1056,702,742],57345:[605,14,1056,702,1076],57680:[120,213,450,-24,460],57681:[120,213,450,-10,474],57682:[333,0,450,-24,460],57683:[333,0,450,-10,474],57684:[120,0,400,-10,410]};a.FONTDATA.FONTS.MathJax_Vector={centerline:257,ascent:714,descent:200,8594:[714,-516,500,29,471]};a.FONTDATA.FONTS["MathJax_Vector-Bold"]={centerline:256,ascent:723,descent:210,8594:[723,-513,575,33,542]};a.FONTDATA.FONTS[m][8722][0]=a.FONTDATA.FONTS[m][43][0];a.FONTDATA.FONTS[m][8722][1]=a.FONTDATA.FONTS[m][43][1];a.FONTDATA.FONTS[m][8942][0]+=400;a.FONTDATA.FONTS[m][8945][0]+=700;a.FONTDATA.FONTS[d][9130][0]-=20;a.FONTDATA.FONTS[d][9130][1]+=5;a.FONTDATA.FONTS[d][57684][0]+=200;a.FONTDATA.FONTS[d][57684][1]+=200;a.FONTDATA.FONTS[m][8773][2]-=222;a.FONTDATA.FONTS[m][8773][5]={rfix:-222};MathJax.Hub.Register.LoadHook(a.fontDir+"/TeX/Main-Bold.js",function(){a.FONTDATA.FONTS[s][8773][2]-=106;a.FONTDATA.FONTS[s][8773][5]={rfix:-106}});MathJax.Hub.Register.LoadHook(a.fontDir+"/TeX/Typewriter-Regular.js",function(){a.FONTDATA.FONTS.MathJax_Typewriter[32][2]+=275;a.FONTDATA.FONTS.MathJax_Typewriter[32][5]={rfix:275};a.FONTDATA.FONTS.MathJax_Typewriter[160][2]+=275;a.FONTDATA.FONTS.MathJax_Typewriter[160][5]={rfix:275}});MathJax.Hub.Insert(a.FONTDATA.FONTS[m],{remapCombining:{768:715,769:714,770:710,771:732,772:713,774:728,775:729,776:168,778:730,780:711,824:[47,o],8407:[8594,"MathJax_Vector"]},8192:[0,0,500,0,0,{space:1}],8193:[0,0,1000,0,0,{space:1}],8194:[0,0,500,0,0,{space:1}],8195:[0,0,1000,0,0,{space:1}],8196:[0,0,333,0,0,{space:1}],8197:[0,0,250,0,0,{space:1}],8198:[0,0,167,0,0,{space:1}],8201:[0,0,167,0,0,{space:1}],8202:[0,0,100,0,0,{space:1}],8203:[0,0,0,0,0,{space:1}],8204:[0,0,0,0,0,{space:1}],8289:[0,0,0,0,0,{space:1}],8290:[0,0,0,0,0,{space:1}],8291:[0,0,0,0,0,{space:1}],8292:[0,0,0,0,0,{space:1}],61152:[0,0,-575,0,0,{space:1}],61153:[0,0,-300,0,0,{space:1}],61160:[0,0,25,0,0,{space:1}]});MathJax.Hub.Insert(a.FONTDATA.FONTS["MathJax_Main-Italic"],{remapCombining:{768:[715,m],769:[714,m],770:[710,m],771:[732,m],772:[713,m],774:[728,m],775:[729,m],776:[168,m],778:[730,m],780:[711,m],824:[47,"MathJax_Vector"]}});MathJax.Hub.Insert(a.FONTDATA.FONTS["MathJax_Main-Bold"],{remapCombining:{768:715,769:714,770:710,771:732,772:713,774:728,775:729,776:168,778:730,780:711,824:[47,"MathJax_Math-BoldItalic"],8407:[8594,"MathJax_Vector-Bold"]}});a.FONTDATA.familyName=function(t){t=t.replace(/^MathJax_/,"");var v=(t+"-Regular").split(/-/);var u=v[0].toLowerCase().replace(/(?:igraphic|serif|writer|tur|tor)$/,"")+"-"+v[1].replace(/[^A-Z]/g,"");return"MJXc-TeX-"+u};(function(){var C=a.config.styles,z=a.FONTDATA.FONTS;var B=r.fileURL(a.webfontDir+"/TeX/otf"),t=r.fileURL(a.webfontDir+"/TeX/eot"),D=r.fileURL(a.webfontDir+"/TeX/woff");var x=[];for(var u in z){if(z.hasOwnProperty(u)){var A=a.FONTDATA.familyName(u),v=A;var y=((u+"-Regular").split(/-/))[1];z[u].className=A;var w={"font-family":A};u=u.replace(/-.*/,"");if(y==="Regular"){w.src="local('"+u+"'), local('"+u+"-Regular')"}else{w.src="local('"+u+" "+y+"'), local('"+u+"-"+y+"')"}x.push(w);if(y!=="Regular"){w={"font-family":A+"x",src:"local('"+u+"')"};if(y.match(/Bold/)){w["font-weight"]="bold"}if(y.match(/Italic/)){w["font-style"]="italic"}v+=","+A+"x";x.push(w)}w={"font-family":A+"w","src /*1*/":"url('"+t+"/"+u+"-"+y+".eot')","src /*2*/":["url('"+D+"/"+u+"-"+y+".woff') format('woff')","url('"+B+"/"+u+"-"+y+".otf') format('opentype')"].join(", ")};x.push(w);v+=","+A+"w";C["."+A]={"font-family":v}}}if(x.length){C["@font-face"]=x}})();a.fontLoaded("TeX/fontdata")})(MathJax.OutputJax.CommonHTML,MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/CommonHTML/jax.js b/jax/output/CommonHTML/jax.js
index 3f7e6ee32f..b2bdc87952 100644
--- a/jax/output/CommonHTML/jax.js
+++ b/jax/output/CommonHTML/jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/CommonHTML/jax.js
+ *  /MathJax-v2/jax/output/CommonHTML/jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(o,f,m,a){var d;var g=MathJax.Object.isArray;var e,q,h;var k=1,l=0.1,j=0.025,b=0.025;var p={".mjx-chtml":{display:"inline-block","line-height":0,"text-indent":0,"text-align":"left","text-transform":"none","font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","letter-spacing":"normal","word-wrap":"normal","word-spacing":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,margin:0,padding:"1px 0"},".MJXc-display":{display:"block","text-align":"center",margin:"1em 0",padding:0},".mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex]":{display:"inline-table"},".mjx-full-width":{"text-align":"center",display:"table-cell!important",width:"10000em"},".mjx-math":{display:"inline-block","border-collapse":"separate","border-spacing":0},".mjx-math *":{display:"inline-block","-webkit-box-sizing":"content-box!important","-moz-box-sizing":"content-box!important","box-sizing":"content-box!important","text-align":"left"},".mjx-numerator":{display:"block","text-align":"center"},".mjx-denominator":{display:"block","text-align":"center"},".MJXc-stacked":{height:0,position:"relative"},".MJXc-stacked > *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v<s;v++){var y=x.childNodes[v];if(y){if(u.test(y.className)){return y}if(y.id===""){t.push(y)}}}x=t.shift()}return null},preTranslate:function(w){var v=w.jax[this.id],E,B=v.length,H,z,C,F,t,G,s,I;var y=100000,x=false,D=0,u=c.automatic,A=c.width;if(u){x=!!A.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/);if(x){A=A.replace(/\s*container\s*/,"")}else{y=this.defaultWidth}if(A===""){A="100%"}}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}z=H.previousSibling;if(z&&z.className&&String(z.className).substr(0,9)==="mjx-chtml"){z.parentNode.removeChild(z)}if(H.MathJax.preview){H.MathJax.preview.style.display="none"}t=H.MathJax.elementJax;if(!t){continue}t.CHTML={display:(t.root.Get("display")==="block"),preview:(t.CHTML||{}).preview};C=a.Element("mjx-chtml",{id:t.inputID+"-Frame",className:"MathJax_CHTML",isMathJax:true,jaxID:this.id,oncontextmenu:e.Menu,onmousedown:e.Mousedown,onmouseover:e.Mouseover,onmouseout:e.Mouseout,onmousemove:e.Mousemove,onclick:e.Click,ondblclick:e.DblClick,onkeydown:e.Keydown,tabIndex:f.getTabOrder(t)});if(t.CHTML.display){var J=a.Element("mjx-chtml",{className:"MJXc-display",isMathJax:false});J.appendChild(C);C=J}if(f.Browser.noContextMenu){C.ontouchstart=q.start;C.ontouchend=q.end}C.className+=" MJXc-processing";H.parentNode.insertBefore(C,H);F=this.TestSpan.cloneNode(true);F.className+=" mjx-test-"+(t.CHTML.display?"display":"inline");H.parentNode.insertBefore(F,H)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}F=H.previousSibling;t=H.MathJax.elementJax;if(!t){continue}s=a.getFontSize(F);G=F.childNodes[1].offsetHeight/60;D=Math.max(0,t.CHTML.display?F.lastChild.offsetWidth-1:F.lastChild.offsetLeft-F.firstChild.offsetLeft-2);if(G===0||G==="NaN"){G=this.defaultEx;D=this.defaultWidth}if(D===0&&!t.CHTML.display){D=this.defaultWidth}if(x){y=D}I=(this.config.matchFontHeight?G/this.TEX.x_height/s:1);I=Math.floor(Math.max(this.config.minScaleAdjust/100,I)*this.config.scale);t.CHTML.scale=I/100;t.CHTML.fontSize=I+"%";t.CHTML.outerEm=s;t.CHTML.em=this.em=s*I/100;t.CHTML.ex=G;t.CHTML.cwidth=D/this.em;t.CHTML.lineWidth=(u?this.length2em(A,y/this.em,1):y)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}t=H.MathJax.elementJax;if(!t){continue}H.parentNode.removeChild(H.previousSibling);if(H.MathJax.preview){H.MathJax.preview.style.display=""}}w.CHTMLeqn=w.CHTMLlast=0;w.CHTMLi=-1;w.CHTMLchunk=this.config.EqnChunk;w.CHTMLdelay=false},Translate:function(t,x){if(!t.parentNode){return}if(x.CHTMLdelay){x.CHTMLdelay=false;f.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var s=t.MathJax.elementJax,w=s.root,v=document.getElementById(s.inputID+"-Frame");if(!v){return}this.getMetrics(s);if(this.scale!==1){v.style.fontSize=s.CHTML.fontSize}this.initCHTML(w,v);this.savePreview(t);this.CHTMLnode=v;try{w.setTeXclass();w.toCommonHTML(v)}catch(u){while(v.firstChild){v.removeChild(v.firstChild)}delete this.CHTMLnode;this.restorePreview(t);throw u}delete this.CHTMLnode;this.restorePreview(t);if(s.CHTML.display){v=v.parentNode}v.className=v.className.replace(/ [^ ]+$/,"");v.className+=" MJXc-processed";if(t.MathJax.preview){s.CHTML.preview=t.MathJax.preview;delete t.MathJax.preview}x.CHTMLeqn+=(x.i-x.CHTMLi);x.CHTMLi=x.i;if(x.CHTMLeqn>=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;v<s;v++){var u=t[v];if(u&&u.MathJax.elementJax){u.previousSibling.className=u.previousSibling.className.replace(/ [^ ]+$/,"");var w=u.MathJax.elementJax.CHTML;if(w.preview){w.preview.innerHTML="";u.MathJax.preview=w.preview;delete w.preview}}}x.CHTMLlast=x.CHTMLeqn},getJaxFromMath:function(s){if(s.parentNode.className.match(/MJXc-display/)){s=s.parentNode}do{s=s.nextSibling}while(s&&s.nodeName.toLowerCase()!=="script");return f.getJaxFor(s)},getHoverSpan:function(s,t){return s.root.CHTMLnodeElement()},getHoverBBox:function(s,v,w){var x=s.root.CHTML,u=s.CHTML.outerEm;var t={w:x.w*u,h:x.h*u,d:x.d*u};if(x.width){t.width=x.width}return t},Zoom:function(u,B,A,s,y){this.getMetrics(u);var v=a.addElement(B,"mjx-chtml",{style:{"font-size":Math.floor(a.scale*100)+"%"},isMathJax:false});a.CHTMLnode=v;this.idPostfix="-zoom";u.root.toCommonHTML(v);this.idPostfix="";var t=v.style,C=u.root.CHTML;if(C.t>C.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u<z;u++){if(t[u].name==="alpha"&&w.noLowerCase){continue}var x=w["offset"+t[u].offset];if(x&&v>=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i<s.length){y=this.getUnicode(s);var u=this.getCharList(t,y);if(u){v.push.apply(v,u)}}}else{if(t.cache[y]){v=t.cache[y]}else{t.cache[y]=v=this.lookupChar(t,y,w)}}return v},lookupChar:function(v,z,x){var y=v;while(v){for(var u=0,s=v.fonts.length;u<s;u++){var t=this.FONTDATA.FONTS[v.fonts[u]];if(typeof(t)==="string"){this.loadFont(t)}var w=t[z];if(w){this.fixChar(w,z);if(w[5].space){return[{type:"space",w:w[2],font:t}]}return[{type:"char",font:t,n:z}]}else{if(t.Extra){this.findBlock(t,z)}}}v=this.FONTDATA.VARIANT[v.chain];if(v&&v.remap&&v.remap[z]&&x++<n){return this.remapChar(v,z,x)}}return[this.unknownChar(y,z)]},fixChar:function(s,t){if(s.length===5){s[5]={}}if(s.c==null){s[0]/=1000;s[1]/=1000;s[2]/=1000;s[3]/=1000;s[4]/=1000;s.c=this.unicodeChar(t)}return s},findBlock:function(u,y){var t=u.Extra,v=u.file,x;for(var w=0,s=t.length;w<s;w++){if(typeof(t[w])==="number"){if(y===t[w]){x=v;break}}else{if(y<t[w][0]){return}if(y<=t[w][1]){x=v;break}}}if(x){delete u.Extra;this.loadFont(v)}},unknownChar:function(s,v){f.signal.Post(["CommonHTML Jax - unknown char",v,s]);var u="";if(s.bold){u+="B"}if(s.italic){u+="I"}var t=this.FONTDATA.UNKNOWN[u||"R"];if(!t[v]){this.getUnknownChar(t,v)}return{type:"unknown",n:v,font:t}},getUnknownChar:function(t,v){var u=this.unicodeChar(v);var s=this.getHDW(u,t.className);t[v]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];t[v].c=u},styledText:function(t,w){f.signal.Post(["CommonHTML Jax - styled text",w,t]);var u=t.style;var x="_"+(u["font-family"]||t.className||"");if(u["font-weight"]){x+="_"+u["font-weight"]}if(u["font-style"]){x+="_"+u["font-style"]}if(!this.STYLEDTEXT){this.STYLEDTEXT={}}if(!this.STYLEDTEXT[x]){this.STYLEDTEXT[x]={className:t.className||""}}var v=this.STYLEDTEXT[x];if(!v["_"+w]){var s=this.getHDW(w,t.className||"",u);v["_"+w]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];v["_"+w].c=w}return{type:"unknown",n:"_"+w,font:v,style:u,rscale:t.rscale}},getHDW:function(B,u,F){var t=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B]]]);var s=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B,["mjx-box"]]]]);t.firstChild.style.fontSize=s.firstChild.style.fontSize="";var v=5*a.em;var E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;a.CHTMLnode.removeChild(t);a.CHTMLnode.removeChild(s);if(C===0){v=5*a.defaultEm;var A=document.body.appendChild(document.createElement("div"));A.appendChild(t);A.appendChild(s);E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;document.body.removeChild(A)}var z=(C-1000)/v,D=x/v,y=E/v-z;return{h:y,d:z,w:D}},addCharList:function(v,x,y){var w={text:"",className:null,a:0};for(var t=0,s=x.length;t<s;t++){var u=x[t];if(this.charList[u.type]){(this.charList[u.type])(u,v,y,w,s)}}if(w.text!==""){if(v.childNodes.length){this.charList.flushText(v,w)}else{m.addText(v,w.text);if(v.className){v.className+=" "+w.className}else{v.className=w.className}}}y.b=(w.flushed?0:y.a)},charList:{"char":function(D,x,B,u,y){var w=D.font,A=(w.remapCombining||{})[D.n];if(w.className===u.className){A=null}else{if(u.className||(A&&u.text!=="")){this.flushText(x,u)}}if(!u.a){u.a=w.centerline/1000}if(u.a>(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.h<t[0]+j){B.t=B.h=t[0]+j}if(B.d<t[1]+b){B.b=B.d=t[1]+b}if(B.l>B.w+t[3]){B.l=B.w+t[3]}if(B.r<B.w+t[4]){B.r=B.w+t[4]}B.w+=t[2]*(D.rscale||1);if(y==1&&w.skew&&w.skew[D.n]){B.skew=w.skew[D.n]}if(t[5]&&t[5].rfix){this.flushText(x,u).style.marginRight=a.Em(t[5].rfix/1000)}if(A){var z=this.flushText(x,u);var s=(v[D.n]||w[D.n])[4]-(t[4]-t[2]);z.style.marginLeft=a.Em(-t[2]-s);if(s<0){z.style.marginRight=a.Em(-s)}}},space:function(t,s,v,u){if(t.w){if(u.text===""){u.className=t.font.className}this.flushText(s,u).style.marginRight=a.Em(t.w);v.w+=t.w}},unknown:function(t,s,w,u){(this["char"])(t,s,w,u,0);var v=t.font[t.n];if(v[5].a){u.a=v[5].a;if(w.a==null||u.a>w.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i<s.length){var y=this.getUnicode(s);v.push.apply(v,this.getCharList(t,y))}}if(v.length){this.addCharList(u.firstChild,v,w)}w.clean();if(w.d<0){w.D=w.d;w.d=0}if(w.h-w.a){u.firstChild.style[w.h-w.a<0?"marginTop":"paddingTop"]=this.EmRounded(w.h-w.a)}if(w.d>-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y<w;y++){if(t.HW[y][0]>=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&x<J*P.min){x=J*P.min}if(x>J){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&s<y*P.min){s=y*P.min}Q.w=Q.r=s;if(s>y){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v<s;v++){if(t[v]){t[v].style.paddingTop=a.Em(u-w[v].a);t[v].style.paddingBottom=a.Em(y+w[v].a);t[v].style.marginTop=t[v].style.marginBottom=0}}},createChar:function(u,y,w,t){var B="",x={fonts:[y[1]],noRemap:true,cache:{}};if(t&&t===d.VARIANT.BOLD&&this.FONTDATA.FONTS[y[1]+"-Bold"]){x.fonts=[y[1]+"-Bold",y[1]]}if(typeof(y[1])!=="string"){x=y[1]}if(y[0] instanceof Array){for(var z=0,v=y[0].length;z<v;z++){B+=String.fromCharCode(y[0][z])}}else{B=String.fromCharCode(y[0])}if(y[4]){w*=y[4]}var A=this.handleText(u,B,x),s=u.firstChild.style;if(w!==1){s.fontSize=this.Percent(w)}if(y[2]){s.paddingLeft=this.Em(y[2]);A.w+=y[2];A.r+=y[2]}if(y[3]){s.verticalAlign=this.Em(y[3]);A.h+=y[3];if(A.h<0){A.h=0}}if(y[5]){s.marginTop=this.Em(y[5]);A.h+=y[5];A.t+=y[5]}if(y[6]){s.marginBottom=this.Em(y[6]);A.d+=y[6];A.b+=y[6]}return A},length2em:function(w,u,x){if(typeof(w)!=="string"){w=w.toString()}if(w===""){return""}if(w===d.SIZE.NORMAL){return 1}if(w===d.SIZE.BIG){return 2}if(w===d.SIZE.SMALL){return 0.71}if(this.MATHSPACE[w]){return this.MATHSPACE[w]}var t=w.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var s=parseFloat(t[1]||"1"),v=t[2];if(u==null){u=1}if(!x){x=1}x=1/this.em/x;if(v==="em"){return s}if(v==="ex"){return s*this.TEX.x_height}if(v==="%"){return s/100*u}if(v==="px"){return s*x}if(v==="pt"){return s/10}if(v==="pc"){return s*1.2}x*=this.pxPerInch;if(v==="in"){return s*x}if(v==="cm"){return s*x/2.54}if(v==="mm"){return s*x/25.4}if(v==="mu"){return s/18}return s*u},thickness2em:function(s,t){var u=a.TEX.rule_thickness/(t||1);if(s===d.LINETHICKNESS.MEDIUM){return u}if(s===d.LINETHICKNESS.THIN){return 0.67*u}if(s===d.LINETHICKNESS.THICK){return 1.67*u}return this.length2em(s,u,t)},Em:function(s){if(Math.abs(s)<0.001){return"0"}return(s.toFixed(3).replace(/\.?0+$/,""))+"em"},EmRounded:function(s){s=(Math.round(s*a.em)+0.05)/a.em;if(Math.abs(s)<0.0006){return"0em"}return s.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(s){return parseFloat(s)},Px:function(s,t){s*=this.em;if(t&&s<t){s=t}if(Math.abs(s)<0.1){return"0"}return s.toFixed(1).replace(/\.0$/,"")+"px"},Percent:function(s){return(100*s).toFixed(1).replace(/\.?0+$/,"")+"%"},Transform:function(v,t,s){var u=v.style;u.transform=u.WebkitTransform=u.MozTransform=u["-ms-transform"]=t;if(s){u.transformOrigin=u.WebkitTransformOrigin=u.MozTransformOrigin=u["-ms-transform-origin"]=s}},arrayEntry:function(s,t){return s[Math.max(0,Math.min(t,s.length-1))]},removeStyles:["fontSize","fontFamily","fontWeight","fontStyle","fontVariant","font"]});a.BBOX=MathJax.Object.Subclass({Init:function(s){for(var t in s){if(s.hasOwnProperty(t)){this[t]=s[t]}}},clean:function(){if(this.h===-i){this.h=0}if(this.d===-i){this.d=0}if(this.l===i){this.l=0}if(this.r===-i){this.r=0}if(this.t===-i){this.t=0}if(this.b===-i){this.b=0}if(this.D&&this.d>0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}if(s+u*(t.w+(t.L||0)+(t.R||0))>this.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}this.w+=u*(t.w+(t.L||0)+(t.R||0));if(u*t.h>this.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]<u){this[v]=u}}}},{zero:function(){return a.BBOX({h:0,d:0,w:0,l:0,r:0,t:0,b:0,scale:1,rscale:1})},empty:function(s){if(!s){s=a.BBOX.zero()}s.h=s.d=s.r=s.t=s.b=-i;s.w=0;s.l=i;delete s.pwidth;return s},styleAdjust:[["borderTopWidth","h","t"],["borderRightWidth","w","r"],["borderBottomWidth","d","b"],["borderLeftWidth","w","l",0],["paddingTop","h","t"],["paddingRight","w","r"],["paddingBottom","d","b"],["paddingLeft","w","l",0],]});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){d=MathJax.ElementJax.mml;d.mbase.Augment({toCommonHTML:function(t,s){return this.CHTMLdefaultNode(t,s)},CHTMLmultiline:function(){d.mbase.CHTMLautoloadFile("multiline")},CHTMLdefaultNode:function(v,t){if(!t){t={}}v=this.CHTMLcreateNode(v);this.CHTML=a.BBOX.empty();this.CHTMLhandleStyle(v);if(this.isToken){this.CHTMLgetVariant()}this.CHTMLhandleScale(v);var s=Math.max((t.minChildren||0),this.data.length);for(var u=0;u<s;u++){this.CHTMLaddChild(v,u,t)}if(!t.noBBox){this.CHTML.clean()}this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v},CHTMLaddChild:function(x,t,s){var z=this.data[t],w;var u=s.childNodes;if(u instanceof Array){u=u[t]||"span"}if(z){if(u){x=a.addElement(x,u)}w=z.toCommonHTML(x,s.childOptions);if(u&&z.CHTML.rscale!==1){x.style.fontSize=x.firstChild.style.fontSize;x.firstChild.style.fontSize=""}if(!s.noBBox){var y=this.CHTML,v=z.CHTML;y.append(v);if(this.data.length===1){if(v.ic){y.ic=v.ic}if(v.skew){y.skew=v.skew}}else{delete y.ic;delete y.skew}if(v.pwidth){y.pwidth=v.pwidth}}}else{if(s.forceChild){w=a.addElement(x,(u||"mjx-box"))}}return w},CHTMLchildNode:function(t,s){t=t.childNodes[s];if(t.nodeName.toLowerCase()==="a"){t=t.firstChild}return t},CHTMLcoreNode:function(s){if(this.inferRow&&this.data[0]){return this.data[0].CHTMLcoreNode(s.firstChild)}return this.CHTMLchildNode(s,this.CoreIndex())},CHTMLstretchChildV:function(v,u,y){var x=this.data[v];if(x){var z=this.CHTML,t=x.CHTML;if(t.stretch||(t.stretch==null&&x.CHTMLcanStretch("Vertical",u,y))){var s=t.w;t=x.CHTMLstretchV(u,y);z.w+=t.w-s;if(z.w>z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t<s;t++){var x=z[t];if(y[x]==false||(!u[x]&&!y[x]&&w[x]==null&&typeof(v[x])==="undefined")){v.setAttribute(x,this.attr[x])}}}return v},CHTMLhandleScale:function(v){var x=1,u=this.parent,w=(u?u.CHTML.scale:1);var s=this.getValues("scriptlevel","fontsize");s.mathsize=this.Get("mathsize",null,!this.isToken);if(s.scriptlevel!==0){if(s.scriptlevel>2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x<s.scriptminsize){x=s.scriptminsize}}if(this.removedStyles&&this.removedStyles.fontSize&&!s.fontsize){s.fontsize=this.removedStyles.fontSize}if(s.fontsize&&!this.mathsize){s.mathsize=s.fontsize}if(s.mathsize!==1){x*=a.length2em(s.mathsize,1,1)}var t=this.CHTMLvariant;if(t&&t.style&&t.style["font-family"]){x*=(a.config.scale/100)/a.scale}this.CHTML.scale=x;w=this.CHTML.rscale=x/w;if(Math.abs(w-1)<0.001){w=1}if(v&&w!==1){v.style.fontSize=a.Percent(w)}return x},CHTMLhandleStyle:function(v){if(!this.style){return}var u=v.style;u.cssText=this.style;this.removedStyles={};for(var t=0,s=a.removeStyles.length;t<s;t++){var w=a.removeStyles[t];if(u[w]){this.removedStyles[w]=u[w];u[w]=""}}},CHTMLhandleBBox:function(w){var t=this.CHTML,v=w.style;if(this.data.length===1&&(this.data[0].CHTML||{}).pwidth){t.pwidth=this.data[0].CHTML.pwidth;t.mwidth=this.data[0].CHTML.mwidth;v.width="100%"}else{if(t.pwidth){t.mwidth=a.Em(t.w);v.width="100%"}else{if(t.w<0){v.width="0px";v.marginRight=a.Em(t.w)}}}if(!this.style){return}for(var u=0,s=a.BBOX.styleAdjust.length;u<s;u++){var x=a.BBOX.styleAdjust[u];if(x&&v[x[0]]){t.adjust(v[x[0]],x[1],x[2],x[3])}}},CHTMLhandleColor:function(s){if(this.mathcolor){s.style.color=this.mathcolor}else{if(this.color){s.style.color=this.color}}if(this.mathbackground){s.style.backgroundColor=this.mathbackground}else{if(this.background){s.style.backgroundColor=this.background}}},CHTMLhandleSpace:function(s){if(!this.useMMLspacing){var t=this.texSpacing();if(t!==""){this.CHTML.L=this.CHTMLlength2em(t);s.className+=" "+a.SPACECLASS[t]}}},CHTMLhandleText:function(t,u,s){if(t.firstChild&&!this.CHTML){this.CHTML=a.BBOX.empty()}this.CHTML=a.handleText(t,u,s,this.CHTML)},CHTMLgetVariant:function(){var s=this.getValues("mathvariant","fontfamily","fontweight","fontstyle"),u;s.hasVariant=this.Get("mathvariant",true);if(this.removedStyles){u=this.removedStyles;if(u.fontFamily){s.family=u.fontFamily}if(u.fontWeight){s.weight=u.fontWeight}if(u.fontStyle){s.style=u.fontStyle}}if(!s.hasVariant){if(s.fontfamily){s.family=s.fontfamily}if(s.fontweight){s.weight=s.fontweight}if(s.fontstyle){s.style=s.fontstyle}}if(s.weight&&s.weight.match(/^\d+$/)){s.weight=(parseInt(s.weight)>600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){t*=a.em/a.outerEm;f.Insert(w,({left:{marginLeft:a.Em(t)},right:{marginRight:a.Em(-t)},center:{marginLeft:a.Em(t),marginRight:a.Em(-t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,u,{childOptions:{variant:t.mathvariant,remap:this.remap,remapchars:t.remapchars}})}if(!a.isChar(t.text)){delete this.CHTML.skew}else{if(this.CHTML.w===0&&this.CHTML.l<0){this.CHTMLfixCombiningChar(v)}}if(t.largeop){this.CHTMLcenterOp(v)}}this.CHTML.clean();this.CHTMLhandleBBox(v);this.CHTMLhandleSpace(v);this.CHTMLhandleColor(v);return v},CHTMLhandleSpace:function(v){if(this.hasMMLspacing()){var t=this.getValues("scriptlevel","lspace","rspace");t.lspace=Math.max(0,this.CHTMLlength2em(t.lspace));t.rspace=Math.max(0,this.CHTMLlength2em(t.rspace));if(t.scriptlevel>0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.h<a.TEX.x_height){C.h+=a.TEX.x_height-F.h;u.style.marginTop=a.Em(a.TEX.x_height-Math.max(F.h,0.35));F.h=a.TEX.x_height}var A=u,D=0;if(F.ic){D=1.3*F.ic+0.05}if(this.data[this.over]){A=this.CHTMLaddOverscript(z,x,E,D,u,t)}if(this.data[this.under]){this.CHTMLaddUnderscript(B,x,E,D,w,A,t)}else{if(!t){w.appendChild(A)}}this.CHTMLplaceBoxes(u,B,z,E,x);return w},CHTMLgetBBoxes:function(A,x,v){var y,t=this.data.length,z,u=-i,s=u;for(y=0;y<t;y++){A[y]=this.CHTMLbboxFor(y);A[y].x=A[y].y=0;if(this.data[y]){A[y].stretch=this.data[y].CHTMLcanStretch("Horizontal")}z=(y===this.base?1:A[y].rscale);if(y!==this.base){delete A[y].L;delete A[y].R}s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)));if(!A[y].stretch&&s>u){u=s}}if(u===-i){u=s}for(y=0;y<t;y++){if(A[y].stretch){z=(y===this.base?1:A[y].rscale);A[y]=this.data[y].CHTMLstretchH(x[y].firstChild,u/z);A[y].x=A[y].y=0;s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)))}}if(!A[this.base]){A[this.base]=a.BBOX.empty()}return s},CHTMLaddOverscript:function(B,z,F,E,t,s){var D=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var A=z[this.over],G=z[this.base],u=A.rscale;if(!s){var C=a.Element("mjx-stack");C.appendChild(B);C.appendChild(t)}if(A.D){A.d=A.D}if(A.d<0){B.firstChild.style.verticalAlign="top";B.style.height=a.Em(A.h+A.d)}A.x=0;if(F.accent){if(A.w<0.001){A.x+=(A.r-A.l)/2}v=a.TEX.rule_thickness;w=0;if(G.skew){A.x+=u*G.skew;D.skew=u*G.skew;if(A.x+u*A.w>D.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y<v;y++){x=(y===this.base?1:z[y].rscale);var C=x*(z[y].w+(z[y].L||0)+(z[y].R||0));z[y].x+={left:0,center:(t-C)/2,right:t-C}[E.align];if(z[y].x<F){F=z[y].x}}for(y=0;y<v;y++){if(this.data[y]){x=(y===this.base?1:z[y].rscale);if(z[y].x-F){var u=(y===this.base?s:y===this.over?A:B);u.style.paddingLeft=a.Em((z[y].x-F)/x)}D.combine(z[y],z[y].x-F,z[y].y)}}this.CHTML=D},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-op","mjx-under","mjx-over"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.msubsup.Augment({toCommonHTML:function(S,C){var A=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");var D,H,z;if(C&&C.stretch){if(this.data[this.base]){D=a.getNode(S,"mjx-base")}if(this.data[this.sub]){H=a.getNode(S,"mjx-sub")}if(this.data[this.sup]){z=a.getNode(S,"mjx-sup")}E=a.getNode(S,"mjx-stack")}else{var K=["mjx-base","mjx-sub","mjx-sup"];if(this.sup===1){K[1]=K[2]}S=this.CHTMLdefaultNode(S,{childNodes:K,noBBox:true,forceChild:true,minChildren:3});D=S.childNodes[this.base];H=S.childNodes[this.sub];z=S.childNodes[this.sup];if(!this.CHTMLnotEmpty(this.data[this.sub])){S.removeChild(H);H=null}if(!this.CHTMLnotEmpty(this.data[this.sup])){S.removeChild(z);z=null}if(S.childNodes.length===3){var E=a.addElement(S,"mjx-stack");E.appendChild(z);E.appendChild(H)}}var F=[],G=a.BBOX.empty(this.CHTML);for(var V=0,T=this.data.length;V<T;V++){F[V]=this.CHTMLbboxFor(V)}var y=F[this.base]||a.BBOX.empty(),P=F[this.sub],W=F[this.sup];var B=(H?P.rscale:1),w=(z?W.rscale:1);G.combine(y,0,0);var X=a.TEX.x_height,N=a.TEX.scriptspace;var Q=a.TEX.sup_drop*w,O=a.TEX.sub_drop*B;var L=y.h-Q,J=y.d+O,Y=0,R;if(y.ic){G.w-=y.ic;D.style.marginRight=a.Em(-y.ic);Y=1.3*y.ic+0.05}var U=this.data[this.base];if(U){if((U.type==="mrow"||U.type==="mstyle")&&U.data.length===1){U=U.data[0]}if(U.type==="mi"||U.type==="mo"){if(a.isChar(U.data.join(""))&&y.rscale===1&&!y.sH&&!U.Get("largeop")){L=J=0}}}A.subscriptshift=(A.subscriptshift===""?0:this.CHTMLlength2em(A.subscriptshift));A.superscriptshift=(A.superscriptshift===""?0:this.CHTMLlength2em(A.superscriptshift));var I=G.w;if(H){P.w+=N}if(z){W.w+=N}if(!z){if(H){J=Math.max(J,a.TEX.sub1,B*P.h-(4/5)*X,A.subscriptshift);H.style.verticalAlign=a.Em(-J/B);H.style.paddingRight=a.Em(N/B);G.combine(P,I,-J)}}else{if(!H){R=a.TEX[(A.displaystyle?"sup1":(A.texprimestyle?"sup3":"sup2"))];L=Math.max(L,R,w*W.d+(1/4)*X,A.superscriptshift);z.style.verticalAlign=a.Em(L/w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);G.combine(W,I+Y,L)}else{J=Math.max(J,a.TEX.sub2);var M=a.TEX.rule_thickness;if((L-w*W.d)-(B*P.h-J)<3*M){J=3*M-L+w*W.d+B*P.h;Q=(4/5)*X-(L-w*W.d);if(Q>0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(K<L){I+=(L-K)/2;G+=(L-K)/2}}else{L=Math.max((O?2:0)*M+J,J/2+1.5*M);J=Math.max(J,M);K=(I-P.d*F)-(T+J/2);if(K<L){I+=(L-K)}K=(T-J/2)-(B.h*z-G);if(K<L){G+=(L-K)}P.L=P.R=B.L=B.R=0.1;var A=a.addElement(y,"mjx-line",{style:{"border-bottom":a.Px(J*C.scale,1)+" solid",top:a.Em(-J/2-T)}})}C.combine(P,0,I);C.combine(B,0,-G);C.clean();y.style.width=a.Em(C.w);D.style.width=a.Em(C.w/F);w.style.width=a.Em(C.w/z);if(A){A.style.width=y.style.width}D.style.top=a.Em(-C.h/F);w.style.bottom=a.Em(-C.d/z);a.addElement(N,"mjx-vsize",{style:{height:a.Em(C.h+C.d),verticalAlign:a.Em(-C.d)}})}if(!this.texWithDelims){var Q=a.TEX.nulldelimiterspace;y.style.padding="0 "+a.Em(Q);C.l+=Q;C.r+=Q;C.w+=2*Q}return N},CHTMLcanStretch:function(s){return false}});d.msqrt.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w,{childNodes:["mjx-box","mjx-root"],forceChild:true,noBBox:true});var v=w.firstChild||a.Element("mjx-box");var E=a.addElement(w,"mjx-box");E.appendChild(v);var F=this.CHTMLbboxFor(0),C=a.BBOX.empty(this.CHTML);var G=a.TEX.rule_thickness,y=a.TEX.surd_height,u=G,s,D;if(this.Get("displaystyle")){u=a.TEX.x_height}s=G+u/4;D=F.h+F.d+s+G;var z=a.Element("mjx-surd");E.insertBefore(z,v);var A=a.createDelimiter(z,8730,[D-0.04,D]);if(A.h+A.d>D){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,s)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9)+s.offset+Math.max(0,u.d-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,"sep"+u,{});this.CHTMLaddChild(v,u,{})}this.CHTMLaddChild(v,"close",{});var t=this.CHTML.h,w=this.CHTML.d;this.CHTMLstretchChildV("open",t,w);for(u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV("sep"+u,t,w);this.CHTMLstretchChildV(u,t,w)}this.CHTMLstretchChildV("close",t,w);this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mrow.Augment({toCommonHTML:function(w,t){t=t||{};w=this.CHTMLdefaultNode(w);var z=this.CHTML,v=z.h,x=z.d,y;for(var u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV(u,v,x);if(this.data[u]&&this.data[u].CHTML&&this.data[u].CHTML.w<0){y=true}}if(this.CHTMLlineBreaks()){this.CHTMLmultiline(w);if(t.autowidth){w.style.width=""}}else{if(y&&z.w){w.style.width=a.Em(Math.max(0,z.w))}if(z.w<0){w.style.marginRight=a.Em(z.w)}}return w},CHTMLlineBreaks:function(){if(!this.parent.linebreakContainer){return false}return(c.automatic&&this.CHTML.w>a.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML);
+(function(o,f,m,a){var d;var g=MathJax.Object.isArray;var e,q,h;var k=1,l=0.1,j=0.025,b=0.025;var p={".mjx-chtml":{display:"inline-block","line-height":0,"text-indent":0,"text-align":"left","text-transform":"none","font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","letter-spacing":"normal","word-wrap":"normal","word-spacing":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,margin:0,padding:"1px 0"},".MJXc-display":{display:"block","text-align":"center",margin:"1em 0",padding:0},".mjx-chtml[tabindex]:focus, body :focus .mjx-chtml[tabindex]":{display:"inline-table"},".mjx-full-width":{"text-align":"center",display:"table-cell!important",width:"10000em"},".mjx-math":{display:"inline-block","border-collapse":"separate","border-spacing":0},".mjx-math *":{display:"inline-block","-webkit-box-sizing":"content-box!important","-moz-box-sizing":"content-box!important","box-sizing":"content-box!important","text-align":"left"},".mjx-numerator":{display:"block","text-align":"center"},".mjx-denominator":{display:"block","text-align":"center"},".MJXc-stacked":{height:0,position:"relative"},".MJXc-stacked > *":{position:"absolute"},".MJXc-bevelled > *":{display:"inline-block"},".mjx-stack":{display:"inline-block"},".mjx-op":{display:"block"},".mjx-under":{display:"table-cell"},".mjx-over":{display:"block"},".mjx-over > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-under > *":{"padding-left":"0px!important","padding-right":"0px!important"},".mjx-stack > .mjx-sup":{display:"block"},".mjx-stack > .mjx-sub":{display:"block"},".mjx-prestack > .mjx-presup":{display:"block"},".mjx-prestack > .mjx-presub":{display:"block"},".mjx-delim-h > .mjx-char":{display:"inline-block"},".mjx-surd":{"vertical-align":"top"},".mjx-surd + .mjx-box":{display:"inline-flex"},".mjx-mphantom *":{visibility:"hidden"},".mjx-merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"2px 3px","font-style":"normal","font-size":"90%"},".mjx-annotation-xml":{"line-height":"normal"},".mjx-menclose > svg":{fill:"none",stroke:"currentColor",overflow:"visible"},".mjx-mtr":{display:"table-row"},".mjx-mlabeledtr":{display:"table-row"},".mjx-mtd":{display:"table-cell","text-align":"center"},".mjx-label":{display:"table-row"},".mjx-box":{display:"inline-block"},".mjx-block":{display:"block"},".mjx-span":{display:"inline"},".mjx-char":{display:"block","white-space":"pre"},".mjx-itable":{display:"inline-table",width:"auto"},".mjx-row":{display:"table-row"},".mjx-cell":{display:"table-cell"},".mjx-table":{display:"table",width:"100%"},".mjx-line":{display:"block",height:0},".mjx-strut":{width:0,"padding-top":k+"em"},".mjx-vsize":{width:0},".MJXc-space1":{"margin-left":".167em"},".MJXc-space2":{"margin-left":".222em"},".MJXc-space3":{"margin-left":".278em"},".mjx-chartest":{display:"block",visibility:"hidden",position:"absolute",top:0,"line-height":"normal","font-size":"500%"},".mjx-chartest .mjx-char":{display:"inline"},".mjx-chartest .mjx-box":{"padding-top":"1000px"},".MJXc-processing":{visibility:"hidden",position:"fixed",width:0,height:0,overflow:"hidden"},".MJXc-processed":{display:"none"},".mjx-test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".mjx-test.mjx-test-display":{display:"table!important"},".mjx-test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".mjx-test.mjx-test-default":{display:"block!important",clear:"both"},".mjx-ex-box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .mjx-left-box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .mjx-right-box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .mjx-right-box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_CHTML_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401,position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}};var i=1000000;var n=5;var c={},r=MathJax.Hub.config;a.Augment({settings:f.config.menuSettings,config:{styles:p},Config:function(){if(!this.require){this.require=[]}this.SUPER(arguments).Config.call(this);var s=this.settings;if(s.scale){this.config.scale=s.scale}this.require.push(this.fontDir+"/TeX/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js");c=this.config.linebreaks},Startup:function(){e=MathJax.Extension.MathEvents.Event;q=MathJax.Extension.MathEvents.Touch;h=MathJax.Extension.MathEvents.Hover;this.ContextMenu=e.ContextMenu;this.Mousedown=e.AltContextMenu;this.Mouseover=h.Mouseover;this.Mouseout=h.Mouseout;this.Mousemove=h.Mousemove;var s=a.addElement(document.body,"mjx-block",{style:{display:"block",width:"5in"}});this.pxPerInch=s.offsetWidth/5;s.parentNode.removeChild(s);this.TestSpan=a.Element("mjx-test",{style:{left:"1em"}},[["mjx-left-box"],["mjx-ex-box"],["mjx-right-box"]]);return o.Styles(this.config.styles,["InitializeCHTML",this])},InitializeCHTML:function(){this.getDefaultExEm();if(this.defaultEm){return}var s=MathJax.Callback();o.timer.start(o,function(t){if(t.time(s)){f.signal.Post(["CommonHTML Jax - no default em size"]);return}a.getDefaultExEm();if(a.defaultEm){s()}else{setTimeout(t,t.delay)}},this.defaultEmDelay,this.defaultEmTimeout);return s},defaultEmDelay:100,defaultEmTimeout:1000,getDefaultExEm:function(){var s=document.body.appendChild(this.TestSpan.cloneNode(true));s.className+=" mjx-test-inline mjx-test-default";this.defaultEm=this.getFontSize(s);this.defaultEx=s.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,s.lastChild.offsetLeft-s.firstChild.offsetLeft-2);document.body.removeChild(s)},getFontSize:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);return parseFloat(s.fontSize)}:function(s){return s.style.pixelLeft}),getMaxWidth:(window.getComputedStyle?function(t){var s=window.getComputedStyle(t);if(s.maxWidth!=="none"){return parseFloat(s.maxWidth)}return 0}:function(t){var s=t.currentStyle.maxWidth;if(s!=="none"){if(s.match(/\d*px/)){return parseFloat(s)}var u=t.style.left;t.style.left=s;s=t.style.pixelLeft;t.style.left=u;return s}return 0}),loadFont:function(s){f.RestartAfter(o.Require(this.fontDir+"/"+s))},fontLoaded:function(s){if(!s.match(/-|fontdata/)){s+="-Regular"}if(!s.match(/\.js$/)){s+=".js"}MathJax.Callback.Queue(["Post",f.Startup.signal,"CommonHTML - font data loaded for "+s],["loadComplete",o,this.fontDir+"/"+s])},Element:function(s,u,t){if(s.substr(0,4)==="mjx-"){if(!u){u={}}if(u.isMathJax==null){u.isMathJax=true}if(u.className){u.className=s+" "+u.className}else{u.className=s}s="span"}return this.HTMLElement(s,u,t)},addElement:function(u,s,v,t){return u.appendChild(this.Element(s,v,t))},HTMLElement:m.Element,ucMatch:m.ucMatch,setScript:m.setScript,getNode:function(x,w){var u=RegExp("\\b"+w+"\\b");var t=[];while(x){for(var v=0,s=x.childNodes.length;v<s;v++){var y=x.childNodes[v];if(y){if(u.test(y.className)){return y}if(y.id===""){t.push(y)}}}x=t.shift()}return null},preTranslate:function(w){var v=w.jax[this.id],E,B=v.length,H,z,C,F,t,G,s,I;var y=100000,x=false,D=0,u=c.automatic,A=c.width;if(u){x=!!A.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/);if(x){A=A.replace(/\s*container\s*/,"")}else{y=this.defaultWidth}if(A===""){A="100%"}}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}z=H.previousSibling;if(z&&z.className&&String(z.className).substr(0,9)==="mjx-chtml"){z.parentNode.removeChild(z)}if(H.MathJax.preview){H.MathJax.preview.style.display="none"}t=H.MathJax.elementJax;if(!t){continue}t.CHTML={display:(t.root.Get("display")==="block"),preview:(t.CHTML||{}).preview};C=a.Element("mjx-chtml",{id:t.inputID+"-Frame",className:"MathJax_CHTML",isMathJax:true,jaxID:this.id,oncontextmenu:e.Menu,onmousedown:e.Mousedown,onmouseover:e.Mouseover,onmouseout:e.Mouseout,onmousemove:e.Mousemove,onclick:e.Click,ondblclick:e.DblClick,onkeydown:e.Keydown,tabIndex:f.getTabOrder(t)});if(t.CHTML.display){var J=a.Element("mjx-chtml",{className:"MJXc-display",isMathJax:false});J.appendChild(C);C=J}if(f.Browser.noContextMenu){C.ontouchstart=q.start;C.ontouchend=q.end}C.className+=" MJXc-processing";H.parentNode.insertBefore(C,H);F=this.TestSpan.cloneNode(true);F.className+=" mjx-test-"+(t.CHTML.display?"display":"inline");H.parentNode.insertBefore(F,H)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}F=H.previousSibling;t=H.MathJax.elementJax;if(!t){continue}s=a.getFontSize(F);G=F.childNodes[1].offsetHeight/60;D=Math.max(0,t.CHTML.display?F.lastChild.offsetWidth-1:F.lastChild.offsetLeft-F.firstChild.offsetLeft-2);if(G===0||G==="NaN"){G=this.defaultEx;D=this.defaultWidth}if(D===0&&!t.CHTML.display){D=this.defaultWidth}if(x){y=D}I=(this.config.matchFontHeight?G/this.TEX.x_height/s:1);I=Math.floor(Math.max(this.config.minScaleAdjust/100,I)*this.config.scale);t.CHTML.scale=I/100;t.CHTML.fontSize=I+"%";t.CHTML.outerEm=s;t.CHTML.em=this.em=s*I/100;t.CHTML.ex=G;t.CHTML.cwidth=D/this.em;t.CHTML.lineWidth=(u?this.length2em(A,y/this.em,1):y)}for(E=0;E<B;E++){H=v[E];if(!H.parentNode){continue}t=H.MathJax.elementJax;if(!t){continue}H.parentNode.removeChild(H.previousSibling);if(H.MathJax.preview){H.MathJax.preview.style.display=""}}w.CHTMLeqn=w.CHTMLlast=0;w.CHTMLi=-1;w.CHTMLchunk=this.config.EqnChunk;w.CHTMLdelay=false},Translate:function(t,x){if(!t.parentNode){return}if(x.CHTMLdelay){x.CHTMLdelay=false;f.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var s=t.MathJax.elementJax,w=s.root,v=document.getElementById(s.inputID+"-Frame");if(!v){return}this.getMetrics(s);if(this.scale!==1){v.style.fontSize=s.CHTML.fontSize}this.initCHTML(w,v);this.savePreview(t);this.CHTMLnode=v;try{w.setTeXclass();w.toCommonHTML(v)}catch(u){while(v.firstChild){v.removeChild(v.firstChild)}delete this.CHTMLnode;this.restorePreview(t);throw u}delete this.CHTMLnode;this.restorePreview(t);if(s.CHTML.display){v=v.parentNode}v.className=v.className.replace(/ [^ ]+$/,"");v.className+=" MJXc-processed";if(t.MathJax.preview){s.CHTML.preview=t.MathJax.preview;delete t.MathJax.preview}x.CHTMLeqn+=(x.i-x.CHTMLi);x.CHTMLi=x.i;if(x.CHTMLeqn>=x.CHTMLlast+x.CHTMLchunk){this.postTranslate(x);x.CHTMLchunk=Math.floor(x.CHTMLchunk*this.config.EqnChunkFactor);x.CHTMLdelay=true}},initCHTML:function(t,s){},savePreview:function(s){var t=s.MathJax.preview;if(t&&t.parentNode){s.MathJax.tmpPreview=document.createElement("span");t.parentNode.replaceChild(s.MathJax.tmpPreview,t)}},restorePreview:function(s){var t=s.MathJax.tmpPreview;if(t){t.parentNode.replaceChild(s.MathJax.preview,t);delete s.MathJax.tmpPreview}},getMetrics:function(s){var t=s.CHTML;this.jax=s;this.em=t.em;this.outerEm=t.outerEm;this.scale=t.scale;this.cwidth=t.cwidth;this.linebreakWidth=t.lineWidth},postTranslate:function(x){var t=x.jax[this.id];for(var v=x.CHTMLlast,s=x.CHTMLeqn;v<s;v++){var u=t[v];if(u&&u.MathJax.elementJax){u.previousSibling.className=u.previousSibling.className.replace(/ [^ ]+$/,"");var w=u.MathJax.elementJax.CHTML;if(w.preview){w.preview.innerHTML="";u.MathJax.preview=w.preview;delete w.preview}}}x.CHTMLlast=x.CHTMLeqn},getJaxFromMath:function(s){if(s.parentNode.className.match(/MJXc-display/)){s=s.parentNode}do{s=s.nextSibling}while(s&&s.nodeName.toLowerCase()!=="script");return f.getJaxFor(s)},getHoverSpan:function(s,t){return s.root.CHTMLnodeElement()},getHoverBBox:function(s,v,w){var x=s.root.CHTML,u=s.CHTML.outerEm;var t={w:x.w*u,h:x.h*u,d:x.d*u};if(x.width){t.width=x.width}return t},Zoom:function(u,B,A,s,y){this.getMetrics(u);var v=a.addElement(B,"mjx-chtml",{style:{"font-size":Math.floor(a.scale*100)+"%"},isMathJax:false});a.CHTMLnode=v;this.idPostfix="-zoom";u.root.toCommonHTML(v);this.idPostfix="";var t=v.style,C=u.root.CHTML;if(C.t>C.h){t.marginTop=a.Em(C.t-C.h)}if(C.b>C.d){t.marginBottom=a.Em(C.b-C.d)}if(C.l<0){t.paddingLeft=a.Em(-C.l)}if(C.r>C.w){t.marginRight=a.Em(C.r-C.w)}t.position="absolute";var z=v.offsetWidth,x=v.offsetHeight,D=A.firstChild.offsetHeight,w=A.firstChild.offsetWidth;v.style.position="";return{Y:-e.getBBox(B).h,mW:w,mH:D,zW:z,zH:x}},Remove:function(s){var t=document.getElementById(s.inputID+"-Frame");if(t&&s.CHTML.display){t=t.parentNode}if(t){t.parentNode.removeChild(t)}delete s.CHTML},ID:0,idPostfix:"",GetID:function(){this.ID++;return this.ID},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18,thin:0.04,medium:0.06,thick:0.1,infinity:i},SPACECLASS:{thinmathspace:"MJXc-space1",mediummathspace:"MJXc-space2",thickmathspace:"MJXc-space3"},pxPerInch:96,em:16,maxStretchyParts:1000,FONTDEF:{},TEXDEF:{x_height:0.442,quad:1,num1:0.676508,num2:0.393732,num3:0.44373,denom1:0.685951,denom2:0.344841,sup1:0.412892,sup2:0.362892,sup3:0.288888,sub1:0.15,sub2:0.247217,sup_drop:0.386108,sub_drop:0.05,delim1:2.39,delim2:1,axis_height:0.25,rule_thickness:0.06,big_op_spacing1:0.111111,big_op_spacing2:0.166666,big_op_spacing3:0.2,big_op_spacing4:0.45,big_op_spacing5:0.1,surd_height:0.075,scriptspace:0.05,nulldelimiterspace:0.12,delimiterfactor:901,delimitershortfall:0.3,min_rule_thickness:1.25},isChar:function(s){if(s.length===1){return true}if(s.length!==2){return false}var t=s.charCodeAt(0);return(t>=55296&&t<56319)},unicodeChar:function(s){if(s<65535){return String.fromCharCode(s)}s-=65536;return String.fromCharCode((s>>10)+55296)+String.fromCharCode((s&1023)+56320)},getUnicode:function(s){var t=s.text.charCodeAt(s.i);s.i++;if(t>=55296&&t<56319){t=(((t-55296)<<10)+(s.text.charCodeAt(s.i)-56320))+65536;s.i++}return t},getCharList:function(w,v){var u,z,s=w.cache,B=v;if(s[v]){return s[v]}if(v>65535&&this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(v,w);v=y.n;w=y.variant}var t=this.FONTDATA.RANGES,A=this.FONTDATA.VARIANT;if(v>=t[0].low&&v<=t[t.length-1].high){for(u=0,z=t.length;u<z;u++){if(t[u].name==="alpha"&&w.noLowerCase){continue}var x=w["offset"+t[u].offset];if(x&&v>=t[u].low&&v<=t[u].high){if(t[u].remap&&t[u].remap[v]){v=x+t[u].remap[v]}else{v=v-t[u].low+x;if(t[u].add){v+=t[u].add}}if(w["variant"+t[u].offset]){w=A[w["variant"+t[u].offset]]}break}}}s[B]=this.remapChar(w,v,0);return s[B]},remapChar:function(t,y,w){var v=[],x=this.FONTDATA.VARIANT;if(t.remap&&t.remap[y]){y=t.remap[y];if(t.remap.variant){t=x[t.remap.variant]}}else{if(this.FONTDATA.REMAP[y]&&!t.noRemap){y=this.FONTDATA.REMAP[y]}}if(g(y)){if(y[2]){w=n}t=x[y[1]];y=y[0]}if(typeof(y)==="string"){var s={text:y,i:0,length:y.length};while(s.i<s.length){y=this.getUnicode(s);var u=this.getCharList(t,y);if(u){v.push.apply(v,u)}}}else{if(t.cache[y]){v=t.cache[y]}else{t.cache[y]=v=this.lookupChar(t,y,w)}}return v},lookupChar:function(v,z,x){var y=v;while(v){for(var u=0,s=v.fonts.length;u<s;u++){var t=this.FONTDATA.FONTS[v.fonts[u]];if(typeof(t)==="string"){this.loadFont(t)}var w=t[z];if(w){this.fixChar(w,z);if(w[5].space){return[{type:"space",w:w[2],font:t}]}return[{type:"char",font:t,n:z}]}else{if(t.Extra){this.findBlock(t,z)}}}v=this.FONTDATA.VARIANT[v.chain];if(v&&v.remap&&v.remap[z]&&x++<n){return this.remapChar(v,z,x)}}return[this.unknownChar(y,z)]},fixChar:function(s,t){if(s.length===5){s[5]={}}if(s.c==null){s[0]/=1000;s[1]/=1000;s[2]/=1000;s[3]/=1000;s[4]/=1000;s.c=this.unicodeChar(t)}return s},findBlock:function(u,y){var t=u.Extra,v=u.file,x;for(var w=0,s=t.length;w<s;w++){if(typeof(t[w])==="number"){if(y===t[w]){x=v;break}}else{if(y<t[w][0]){return}if(y<=t[w][1]){x=v;break}}}if(x){delete u.Extra;this.loadFont(v)}},unknownChar:function(s,v){f.signal.Post(["CommonHTML Jax - unknown char",v,s]);var u="";if(s.bold){u+="B"}if(s.italic){u+="I"}var t=this.FONTDATA.UNKNOWN[u||"R"];if(!t[v]){this.getUnknownChar(t,v)}return{type:"unknown",n:v,font:t}},getUnknownChar:function(t,v){var u=this.unicodeChar(v);var s=this.getHDW(u,t.className);t[v]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];t[v].c=u},styledText:function(t,w){f.signal.Post(["CommonHTML Jax - styled text",w,t]);var u=t.style;var x="_"+(u["font-family"]||t.className||"");if(u["font-weight"]){x+="_"+u["font-weight"]}if(u["font-style"]){x+="_"+u["font-style"]}if(!this.STYLEDTEXT){this.STYLEDTEXT={}}if(!this.STYLEDTEXT[x]){this.STYLEDTEXT[x]={className:t.className||""}}var v=this.STYLEDTEXT[x];if(!v["_"+w]){var s=this.getHDW(w,t.className||"",u);v["_"+w]=[0.8,0.2,s.w,0,s.w,{a:Math.max(0,(s.h-s.d)/2),h:s.h,d:s.d}];v["_"+w].c=w}return{type:"unknown",n:"_"+w,font:v,style:u,rscale:t.rscale}},getHDW:function(B,u,F){var t=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B]]]);var s=a.addElement(a.CHTMLnode,"mjx-chartest",{className:u},[["mjx-char",{style:F},[B,["mjx-box"]]]]);t.firstChild.style.fontSize=s.firstChild.style.fontSize="";var v=5*a.em;var E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;a.CHTMLnode.removeChild(t);a.CHTMLnode.removeChild(s);if(C===0){v=5*a.defaultEm;var A=document.body.appendChild(document.createElement("div"));A.appendChild(t);A.appendChild(s);E=t.offsetHeight,C=s.offsetHeight,x=t.offsetWidth;document.body.removeChild(A)}var z=(C-1000)/v,D=x/v,y=E/v-z;return{h:y,d:z,w:D}},addCharList:function(v,x,y){var w={text:"",className:null,a:0};for(var t=0,s=x.length;t<s;t++){var u=x[t];if(this.charList[u.type]){(this.charList[u.type])(u,v,y,w,s)}}if(w.text!==""){if(v.childNodes.length){this.charList.flushText(v,w)}else{m.addText(v,w.text);if(v.className){v.className+=" "+w.className}else{v.className=w.className}}}y.b=(w.flushed?0:y.a)},charList:{"char":function(D,x,B,u,y){var w=D.font,A=(w.remapCombining||{})[D.n];if(w.className===u.className){A=null}else{if(u.className||(A&&u.text!=="")){this.flushText(x,u)}}if(!u.a){u.a=w.centerline/1000}if(u.a>(B.a||0)){B.a=u.a}u.className=w.className;var t=w[D.n];if(A){var v=w;if(g(A)){v=a.FONTDATA.FONTS[A[1]];A=A[0];if(typeof(v)==="string"){a.loadFont(v)}}if(v[D.n]){a.fixChar(v[D.n],D.n)}t=a.fixChar(v[A],A);u.className=v.className}u.text+=t.c;if(B.h<t[0]+j){B.t=B.h=t[0]+j}if(B.d<t[1]+b){B.b=B.d=t[1]+b}if(B.l>B.w+t[3]){B.l=B.w+t[3]}if(B.r<B.w+t[4]){B.r=B.w+t[4]}B.w+=t[2]*(D.rscale||1);if(y==1&&w.skew&&w.skew[D.n]){B.skew=w.skew[D.n]}if(t[5]&&t[5].rfix){this.flushText(x,u).style.marginRight=a.Em(t[5].rfix/1000)}if(A){var z=this.flushText(x,u);var s=(v[D.n]||w[D.n])[4]-(t[4]-t[2]);z.style.marginLeft=a.Em(-t[2]-s);if(s<0){z.style.marginRight=a.Em(-s)}}},space:function(t,s,v,u){if(t.w){if(u.text===""){u.className=t.font.className}this.flushText(s,u).style.marginRight=a.Em(t.w);v.w+=t.w}},unknown:function(t,s,w,u){(this["char"])(t,s,w,u,0);var v=t.font[t.n];if(v[5].a){u.a=v[5].a;if(w.a==null||u.a>w.a){w.a=u.a}}s=this.flushText(s,u,t.style);if(v[2]<3){s.style.width=a.Em(v[2])}},flushText:function(t,u,s){t=a.addElement(t,"mjx-charbox",{className:u.className,style:s},[u.text]);if(u.a){t.style.paddingBottom=a.Em(u.a)}u.text="";u.className=null;u.a=0;u.flushed=true;return t}},handleText:function(u,x,t,w){if(u.childNodes.length===0){a.addElement(u,"mjx-char");w=a.BBOX.empty(w)}if(typeof(t)==="string"){t=this.FONTDATA.VARIANT[t]}if(!t){t=this.FONTDATA.VARIANT[d.VARIANT.NORMAL]}var s={text:x,i:0,length:x.length},v=[];if(t.style&&s.length){v.push(this.styledText(t,x))}else{while(s.i<s.length){var y=this.getUnicode(s);v.push.apply(v,this.getCharList(t,y))}}if(v.length){this.addCharList(u.firstChild,v,w)}w.clean();if(w.d<0){w.D=w.d;w.d=0}if(w.h-w.a){u.firstChild.style[w.h-w.a<0?"marginTop":"paddingTop"]=this.EmRounded(w.h-w.a)}if(w.d>-w.b){u.firstChild.style.paddingBottom=this.EmRounded(w.d+w.b)}return w},createDelimiter:function(x,s,u,A,v){if(!s){var B=this.BBOX.zero();B.w=B.r=this.TEX.nulldelimiterspace;a.addElement(x,"mjx-box",{style:{width:B.w}});return B}if(!(u instanceof Array)){u=[u,u]}var z=u[1];u=u[0];var t={alias:s};while(t.alias){s=t.alias;t=this.FONTDATA.DELIMITERS[s];if(!t){t={HW:[0,this.FONTDATA.VARIANT[d.VARIANT.NORMAL]]}}}if(t.load){f.RestartAfter(o.Require(this.fontDir+"/TeX/fontdata-"+t.load+".js"))}for(var y=0,w=t.HW.length;y<w;y++){if(t.HW[y][0]>=u-0.01||(y==w-1&&!t.stretch)){if(t.HW[y][3]){s=t.HW[y][3]}B=this.createChar(x,[s,t.HW[y][1]],(t.HW[y][2]||1),v);B.offset=0.6*B.w;if(A){B.scale=A.scale;A.rscale=A.rscale}return B}}if(!t.stretch){return B}return this["extendDelimiter"+t.dir](x,z,t.stretch,A,v)},extendDelimiterV:function(E,x,P,w,C){E=a.addElement(E,"mjx-delim-v");var N=a.Element("span");var B,A,O,v,I,t,F,y,G=1,M;I=this.createChar(N,(P.top||P.ext),1,C);B=N.removeChild(N.firstChild);t=this.createChar(N,(P.bot||P.ext),1,C);A=N.removeChild(N.firstChild);F=y=a.BBOX.zero();var J=I.h+I.d+t.h+t.d-l;E.appendChild(B);if(P.mid){F=this.createChar(N,P.mid,1,C);O=N.removeChild(N.firstChild);J+=F.h+F.d;G=2}if(P.min&&x<J*P.min){x=J*P.min}if(x>J){y=this.createChar(N,P.ext,1,C);v=N.removeChild(N.firstChild);var L=y.h+y.d,u=L-l;var D=Math.min(Math.ceil((x-J)/(G*u)),this.maxStretchyParts);if(P.fullExtenders){x=D*G*u+J}else{u=(x-J)/(G*D)}M=y.d+y.a-L/2;v.style.margin=v.style.padding="";v.style.lineHeight=a.Em(u);v.style.marginBottom=a.Em(M-l/2/G);v.style.marginTop=a.Em(-M-l/2/G);var K=v.textContent,z="\n"+K;while(--D>0){K+=z}v.textContent=K;E.appendChild(v);if(P.mid){E.appendChild(O);E.appendChild(v.cloneNode(true))}}else{M=(x-J-l)/G;B.style.marginBottom=a.Em(M+parseFloat(B.style.marginBottom||"0"));if(P.mid){E.appendChild(O)}A.style.marginTop=a.Em(M+parseFloat(A.style.marginTop||"0"))}E.appendChild(A);var s=a.BBOX({w:Math.max(I.w,y.w,t.w,F.w),l:Math.min(I.l,y.l,t.l,F.l),r:Math.max(I.r,y.r,t.r,F.r),h:x-t.d,d:t.d,t:x-t.d,b:t.d});s.offset=0.5*s.w;if(w){s.scale=w.scale;s.rscale=w.rscale}return s},extendDelimiterH:function(F,s,P,v,D){F=a.addElement(F,"mjx-delim-h");var N=a.Element("span");var t,M,O,u,K,C,x,G,z,H=1;C=this.createChar(N,(P.left||P.rep),1,D);t=N.removeChild(N.firstChild);x=this.createChar(N,(P.right||P.rep),1,D);M=N.removeChild(N.firstChild);z=this.createChar(N,P.rep,1,D);u=N.removeChild(N.firstChild);t.style.marginLeft=a.Em(-C.l);M.style.marginRight=a.Em(x.r-x.w);F.appendChild(t);var Q=a.BBOX.zero();Q.h=Math.max(C.h,x.h,z.h);Q.d=Math.max(C.D||C.d,x.D||x.d,z.D||z.d);var y=(C.r-C.l)+(x.r-x.l)-l;if(P.mid){G=this.createChar(N,P.mid,1,D);O=N.removeChild(N.firstChild);O.style.marginleft=a.Em(-G.l);O.style.marginRight=a.Em(G.r-G.w);y+=G.r-G.l+l;H=2;if(G.h>Q.h){Q.h=G.h}if(G.d>Q.d){Q.d=G.d}}if(P.min&&s<y*P.min){s=y*P.min}Q.w=Q.r=s;if(s>y){var B=z.r-z.l,J=B-l;var E=Math.min(Math.ceil((s-y)/(H*J)),this.maxStretchyParts);if(P.fullExtenders){s=E*H*J+y}else{J=(s-y)/(H*E)}var L=(B-J+l/H)/2;u.style.marginLeft=a.Em(-z.l-L);u.style.marginRight=a.Em(z.r-z.w+L);u.style.letterSpacing=a.Em(-(z.w-J));t.style.marginRight=a.Em(C.r-C.w);M.style.marginleft=a.Em(-x.l);var I=u.textContent,A=I;while(--E>0){I+=A}u.textContent=I;F.appendChild(u);if(P.mid){F.appendChild(O);K=F.appendChild(u.cloneNode(true))}}else{L=(s-y-l/H)/2;t.style.marginRight=a.Em(C.r-C.w+L);if(P.mid){F.appendChild(O)}M.style.marginLeft=a.Em(-x.l+L)}F.appendChild(M);this.adjustHeights([t,u,O,K,M],[C,z,G,z,x],Q);if(v){Q.scale=v.scale;Q.rscale=v.rscale}return Q},adjustHeights:function(t,w,x){var u=x.h,y=x.d;if(x.d<0){y=-x.d;x.D=x.d;x.d=0}for(var v=0,s=t.length;v<s;v++){if(t[v]){t[v].style.paddingTop=a.Em(u-w[v].a);t[v].style.paddingBottom=a.Em(y+w[v].a);t[v].style.marginTop=t[v].style.marginBottom=0}}},createChar:function(u,y,w,t){var B="",x={fonts:[y[1]],noRemap:true,cache:{}};if(t&&t===d.VARIANT.BOLD&&this.FONTDATA.FONTS[y[1]+"-Bold"]){x.fonts=[y[1]+"-Bold",y[1]]}if(typeof(y[1])!=="string"){x=y[1]}if(y[0] instanceof Array){for(var z=0,v=y[0].length;z<v;z++){B+=String.fromCharCode(y[0][z])}}else{B=String.fromCharCode(y[0])}if(y[4]){w*=y[4]}var A=this.handleText(u,B,x),s=u.firstChild.style;if(w!==1){s.fontSize=this.Percent(w)}if(y[2]){s.paddingLeft=this.Em(y[2]);A.w+=y[2];A.r+=y[2]}if(y[3]){s.verticalAlign=this.Em(y[3]);A.h+=y[3];if(A.h<0){A.h=0}}if(y[5]){s.marginTop=this.Em(y[5]);A.h+=y[5];A.t+=y[5]}if(y[6]){s.marginBottom=this.Em(y[6]);A.d+=y[6];A.b+=y[6]}return A},length2em:function(w,u,x){if(typeof(w)!=="string"){w=w.toString()}if(w===""){return""}if(w===d.SIZE.NORMAL){return 1}if(w===d.SIZE.BIG){return 2}if(w===d.SIZE.SMALL){return 0.71}if(this.MATHSPACE[w]){return this.MATHSPACE[w]}var t=w.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var s=parseFloat(t[1]||"1"),v=t[2];if(u==null){u=1}if(!x){x=1}x=1/this.em/x;if(v==="em"){return s}if(v==="ex"){return s*this.TEX.x_height}if(v==="%"){return s/100*u}if(v==="px"){return s*x}if(v==="pt"){return s/10}if(v==="pc"){return s*1.2}x*=this.pxPerInch;if(v==="in"){return s*x}if(v==="cm"){return s*x/2.54}if(v==="mm"){return s*x/25.4}if(v==="mu"){return s/18}return s*u},thickness2em:function(s,t){var u=a.TEX.rule_thickness/(t||1);if(s===d.LINETHICKNESS.MEDIUM){return u}if(s===d.LINETHICKNESS.THIN){return 0.67*u}if(s===d.LINETHICKNESS.THICK){return 1.67*u}return this.length2em(s,u,t)},Em:function(s){if(Math.abs(s)<0.001){return"0"}return(s.toFixed(3).replace(/\.?0+$/,""))+"em"},EmRounded:function(s){s=(Math.round(s*a.em)+0.05)/a.em;if(Math.abs(s)<0.0006){return"0em"}return s.toFixed(3).replace(/\.?0+$/,"")+"em"},unEm:function(s){return parseFloat(s)},Px:function(s,t){s*=this.em;if(t&&s<t){s=t}if(Math.abs(s)<0.1){return"0"}return s.toFixed(1).replace(/\.0$/,"")+"px"},Percent:function(s){return(100*s).toFixed(1).replace(/\.?0+$/,"")+"%"},Transform:function(v,t,s){var u=v.style;u.transform=u.WebkitTransform=u.MozTransform=u["-ms-transform"]=t;if(s){u.transformOrigin=u.WebkitTransformOrigin=u.MozTransformOrigin=u["-ms-transform-origin"]=s}},arrayEntry:function(s,t){return s[Math.max(0,Math.min(t,s.length-1))]},removeStyles:["fontSize","fontFamily","fontWeight","fontStyle","fontVariant","font"]});a.BBOX=MathJax.Object.Subclass({Init:function(s){for(var t in s){if(s.hasOwnProperty(t)){this[t]=s[t]}}},clean:function(){if(this.h===-i){this.h=0}if(this.d===-i){this.d=0}if(this.l===i){this.l=0}if(this.r===-i){this.r=0}if(this.t===-i){this.t=0}if(this.b===-i){this.b=0}if(this.D&&this.d>0){delete this.D}},rescale:function(s){this.w*=s;this.h*=s;this.d*=s;this.l*=s;this.r*=s;this.t*=s;this.b*=s;if(this.L){this.L*=s}if(this.R){this.R*=s}if(this.D){this.D*=s}},combine:function(t,s,v){t.X=s;t.Y=v;var u=t.rscale;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}if(s+u*(t.w+(t.L||0)+(t.R||0))>this.w){this.w=s+u*(t.w+(t.L||0)+(t.R||0))}if(v+u*t.h>this.h){this.h=v+u*t.h}if(t.D&&(this.D==null||u*t.D-v>this.D)&&u*t.D>this.d){this.D=u*t.D-v}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d-v>this.d){this.d=u*t.d-v}if(v+u*t.t>this.t){this.t=v+u*t.t}if(u*t.b-v>this.b){this.b=u*t.b-v}},append:function(t){var u=t.rscale;var s=this.w;if(s+u*t.r>this.r){this.r=s+u*t.r}if(s+u*t.l<this.l){this.l=s+u*t.l}this.w+=u*(t.w+(t.L||0)+(t.R||0));if(u*t.h>this.h){this.h=u*t.h}if(t.D&&(this.D==null||u*t.D>this.D)&&u*t.D>this.d){this.D=u*t.D}else{if(t.D==null&&this.D){delete this.D}}if(u*t.d>this.d){this.d=u*t.d}if(u*t.t>this.t){this.t=u*t.t}if(u*t.b>this.b){this.b=u*t.b}},updateFrom:function(s){this.h=s.h;this.d=s.d;this.w=s.w;this.r=s.r;this.l=s.l;this.t=s.t;this.b=s.b;if(s.pwidth){this.pwidth=s.pwidth}if(s.D){this.D=s.D}else{delete this.D}},adjust:function(t,s,v,u){this[s]+=a.length2em(t,1,this.scale);if(u==null){if(this[s]>this[v]){this[v]=this[s]}}else{if(this[v]<u){this[v]=u}}}},{zero:function(){return a.BBOX({h:0,d:0,w:0,l:0,r:0,t:0,b:0,scale:1,rscale:1})},empty:function(s){if(!s){s=a.BBOX.zero()}s.h=s.d=s.r=s.t=s.b=-i;s.w=0;s.l=i;delete s.pwidth;return s},styleAdjust:[["borderTopWidth","h","t"],["borderRightWidth","w","r"],["borderBottomWidth","d","b"],["borderLeftWidth","w","l",0],["paddingTop","h","t"],["paddingRight","w","r"],["paddingBottom","d","b"],["paddingLeft","w","l",0],]});MathJax.Hub.Register.StartupHook("mml Jax Ready",function(){d=MathJax.ElementJax.mml;d.mbase.Augment({toCommonHTML:function(t,s){return this.CHTMLdefaultNode(t,s)},CHTMLmultiline:function(){d.mbase.CHTMLautoloadFile("multiline")},CHTMLdefaultNode:function(v,t){if(!t){t={}}v=this.CHTMLcreateNode(v);this.CHTML=a.BBOX.empty();this.CHTMLhandleStyle(v);if(this.isToken){this.CHTMLgetVariant()}this.CHTMLhandleScale(v);var s=Math.max((t.minChildren||0),this.data.length);for(var u=0;u<s;u++){this.CHTMLaddChild(v,u,t)}if(!t.noBBox){this.CHTML.clean()}this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v},CHTMLaddChild:function(x,t,s){var z=this.data[t],w;var u=s.childNodes;if(u instanceof Array){u=u[t]||"span"}if(z){if(u){x=a.addElement(x,u)}w=z.toCommonHTML(x,s.childOptions);if(u&&z.CHTML.rscale!==1){x.style.fontSize=x.firstChild.style.fontSize;x.firstChild.style.fontSize=""}if(!s.noBBox){var y=this.CHTML,v=z.CHTML;y.append(v);if(this.data.length===1){if(v.ic){y.ic=v.ic}if(v.skew){y.skew=v.skew}}else{delete y.ic;delete y.skew}if(v.pwidth){y.pwidth=v.pwidth}}}else{if(s.forceChild){w=a.addElement(x,(u||"mjx-box"))}}return w},CHTMLchildNode:function(t,s){t=t.childNodes[s];if(t.nodeName.toLowerCase()==="a"){t=t.firstChild}return t},CHTMLcoreNode:function(s){if(this.inferRow&&this.data[0]){return this.data[0].CHTMLcoreNode(s.firstChild)}return this.CHTMLchildNode(s,this.CoreIndex())},CHTMLstretchChildV:function(v,u,y){var x=this.data[v];if(x){var z=this.CHTML,t=x.CHTML;if(t.stretch||(t.stretch==null&&x.CHTMLcanStretch("Vertical",u,y))){var s=t.w;t=x.CHTMLstretchV(u,y);z.w+=t.w-s;if(z.w>z.r){z.r=z.w}if(t.h>z.h){z.h=t.h}if(t.d>z.d){z.d=t.d}if(t.t>z.t){z.t=t.t}if(t.b>z.b){z.b=t.b}}}},CHTMLstretchChildH:function(v,s,x){var y=this.data[v];if(y){var z=this.CHTML,u=y.CHTML;if(u.stretch||(u.stretch==null&&y.CHTMLcanStretch("Horizontal",s))){var t=u.w;u=y.CHTMLstretchH(this.CHTMLchildNode(x,v),s);z.w+=u.w-t;if(z.w>z.r){z.r=z.w}if(u.h>z.h){z.h=u.h}if(u.d>z.d){z.d=u.d}if(u.t>z.t){z.t=u.t}if(u.b>z.b){z.b=u.b}}}},CHTMLupdateFrom:function(s){this.CHTML.updateFrom(s);if(this.inferRow){this.data[0].CHTML.updateFrom(s)}},CHTMLcanStretch:function(w,u,v){var t=false;if(this.isEmbellished()){var s=this.Core();if(s&&s!==this){t=s.CHTMLcanStretch(w,u,v)}}this.CHTML.stretch=t;return t},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));return this.CHTML},CHTMLstretchCoreH:function(t,s){return this.Core().CHTMLstretchH(this.CHTMLcoreNode(t),s)},CHTMLcreateNode:function(s){if(!this.CHTML){this.CHTML={}}this.CHTML=a.BBOX.zero();if(this.href){s=a.addElement(s,"a",{href:this.href,isMathJax:true})}if(!this.CHTMLnodeID){this.CHTMLnodeID=a.GetID()}var t=(this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix;return this.CHTMLhandleAttributes(a.addElement(s,"mjx-"+this.type,{id:t}))},CHTMLnodeElement:function(){if(!this.CHTMLnodeID){return null}return document.getElementById((this.id||"MJXc-Node-"+this.CHTMLnodeID)+a.idPostfix)},CHTMLlength2em:function(t,s){return a.length2em(t,s,this.CHTML.scale)},CHTMLhandleAttributes:function(v){if(this["class"]){if(v.className){v.className+=" "+this["class"]}else{v.className=this["class"]}}if(this.attrNames){var z=this.attrNames,u=d.nocopyAttributes,y=f.config.ignoreMMLattributes;var w=(this.type==="mstyle"?d.math.prototype.defaults:this.defaults);for(var t=0,s=z.length;t<s;t++){var x=z[t];if(y[x]==false||(!u[x]&&!y[x]&&w[x]==null&&typeof(v[x])==="undefined")){v.setAttribute(x,this.attr[x])}}}return v},CHTMLhandleScale:function(v){var x=1,u=this.parent,w=(u?u.CHTML.scale:1);var s=this.getValues("scriptlevel","fontsize");s.mathsize=this.Get("mathsize",null,!this.isToken);if(s.scriptlevel!==0){if(s.scriptlevel>2){s.scriptlevel=2}x=Math.pow(this.Get("scriptsizemultiplier"),s.scriptlevel);s.scriptminsize=a.length2em(this.Get("scriptminsize"),0.8,1);if(x<s.scriptminsize){x=s.scriptminsize}}if(this.removedStyles&&this.removedStyles.fontSize&&!s.fontsize){s.fontsize=this.removedStyles.fontSize}if(s.fontsize&&!this.mathsize){s.mathsize=s.fontsize}if(s.mathsize!==1){x*=a.length2em(s.mathsize,1,1)}var t=this.CHTMLvariant;if(t&&t.style&&t.style["font-family"]){x*=(a.config.scale/100)/a.scale}this.CHTML.scale=x;w=this.CHTML.rscale=x/w;if(Math.abs(w-1)<0.001){w=1}if(v&&w!==1){v.style.fontSize=a.Percent(w)}return x},CHTMLhandleStyle:function(v){if(!this.style){return}var u=v.style;u.cssText=this.style;this.removedStyles={};for(var t=0,s=a.removeStyles.length;t<s;t++){var w=a.removeStyles[t];if(u[w]){this.removedStyles[w]=u[w];u[w]=""}}},CHTMLhandleBBox:function(w){var t=this.CHTML,v=w.style;if(this.data.length===1&&(this.data[0].CHTML||{}).pwidth){t.pwidth=this.data[0].CHTML.pwidth;t.mwidth=this.data[0].CHTML.mwidth;v.width="100%"}else{if(t.pwidth){t.mwidth=a.Em(t.w);v.width="100%"}else{if(t.w<0){v.width="0px";v.marginRight=a.Em(t.w)}}}if(!this.style){return}for(var u=0,s=a.BBOX.styleAdjust.length;u<s;u++){var x=a.BBOX.styleAdjust[u];if(x&&v[x[0]]){t.adjust(v[x[0]],x[1],x[2],x[3])}}},CHTMLhandleColor:function(s){if(this.mathcolor){s.style.color=this.mathcolor}else{if(this.color){s.style.color=this.color}}if(this.mathbackground){s.style.backgroundColor=this.mathbackground}else{if(this.background){s.style.backgroundColor=this.background}}},CHTMLhandleSpace:function(s){if(!this.useMMLspacing){var t=this.texSpacing();if(t!==""){this.CHTML.L=this.CHTMLlength2em(t);s.className+=" "+a.SPACECLASS[t]}}},CHTMLhandleText:function(t,u,s){if(t.firstChild&&!this.CHTML){this.CHTML=a.BBOX.empty()}this.CHTML=a.handleText(t,u,s,this.CHTML)},CHTMLgetVariant:function(){var s=this.getValues("mathvariant","fontfamily","fontweight","fontstyle"),u;s.hasVariant=this.Get("mathvariant",true);if(this.removedStyles){u=this.removedStyles;if(u.fontFamily){s.family=u.fontFamily}if(u.fontWeight){s.weight=u.fontWeight}if(u.fontStyle){s.style=u.fontStyle}}if(!s.hasVariant){if(s.fontfamily){s.family=s.fontfamily}if(s.fontweight){s.weight=s.fontweight}if(s.fontstyle){s.style=s.fontstyle}}if(s.weight&&s.weight.match(/^\d+$/)){s.weight=(parseInt(s.weight)>600?"bold":"normal")}var t=s.mathvariant;if(this.variantForm){t="-TeX-variant"}if(s.family&&!s.hasVariant){if(!s.weight&&s.mathvariant.match(/bold/)){s.weight="bold"}if(!s.style&&s.mathvariant.match(/italic/)){s.style="italic"}this.CHTMLvariant={fonts:[],noRemap:true,cache:{},style:{"font-family":s.family,"font-weight":s.weight||"normal","font-style":s.style||"normal"}};return}if(s.weight==="bold"){t={normal:d.VARIANT.BOLD,italic:d.VARIANT.BOLDITALIC,fraktur:d.VARIANT.BOLDFRAKTUR,script:d.VARIANT.BOLDSCRIPT,"sans-serif":d.VARIANT.BOLDSANSSERIF,"sans-serif-italic":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.weight==="normal"){t={bold:d.VARIANT.normal,"bold-italic":d.VARIANT.ITALIC,"bold-fraktur":d.VARIANT.FRAKTUR,"bold-script":d.VARIANT.SCRIPT,"bold-sans-serif":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.SANSSERIFITALIC}[t]||t}}if(s.style==="italic"){t={normal:d.VARIANT.ITALIC,bold:d.VARIANT.BOLDITALIC,"sans-serif":d.VARIANT.SANSSERIFITALIC,"bold-sans-serif":d.VARIANT.SANSSERIFBOLDITALIC}[t]||t}else{if(s.style==="normal"){t={italic:d.VARIANT.NORMAL,"bold-italic":d.VARIANT.BOLD,"sans-serif-italic":d.VARIANT.SANSSERIF,"sans-serif-bold-italic":d.VARIANT.BOLDSANSSERIF}[t]||t}}this.CHTMLvariant=a.FONTDATA.VARIANT[t]||a.FONTDATA.VARIANT[d.VARIANT.NORMAL]},CHTMLbboxFor:function(s){if(this.data[s]&&this.data[s].CHTML){return this.data[s].CHTML}return a.BBOX.zero()},CHTMLdrawBBox:function(t,u){if(!u){u=this.CHTML}var s=a.Element("mjx-box",{style:{opacity:0.25,"margin-left":a.Em(-(u.w+(u.R||0)))}},[["mjx-box",{style:{height:a.Em(u.h),width:a.Em(u.w),"background-color":"red"}}],["mjx-box",{style:{height:a.Em(u.d),width:a.Em(u.w),"margin-left":a.Em(-u.w),"vertical-align":a.Em(-u.d),"background-color":"green"}}]]);if(t.nextSibling){t.parentNode.insertBefore(s,t.nextSibling)}else{t.parentNode.appendChild(s)}},CHTMLnotEmpty:function(s){while(s&&s.data.length<2&&(s.type==="mrow"||s.type==="texatom")){s=s.data[0]}return !!s}},{CHTMLautoload:function(){this.constructor.Augment({toCommonHTML:d.mbase.CHTMLautoloadFail});var s=a.autoloadDir+"/"+this.type+".js";f.RestartAfter(o.Require(s))},CHTMLautoloadFail:function(){throw Error("CommonHTML can't autoload '"+this.type+"'")},CHTMLautoloadList:{},CHTMLautoloadFile:function(s){if(d.mbase.CHTMLautoloadList.hasOwnProperty(s)){throw Error("CommonHTML can't autoload file '"+s+"'")}d.mbase.CHTMLautoloadList[s]=true;var t=a.autoloadDir+"/"+s+".js";f.RestartAfter(o.Require(t))},CHTMLstretchV:function(s,t){this.Core().CHTMLstretchV(s,t);this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.chars.Augment({toCommonHTML:function(t,s){this.CHTML=null;if(s==null){s={}}var u=this.toString();if(s.remap){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.entity.Augment({toCommonHTML:function(t,s){if(s==null){s={}}var u=this.toString();if(s.remapchars){u=s.remap(u,s.remapchars)}this.CHTMLhandleText(t,u,s.variant||this.parent.CHTMLvariant)}});d.math.Augment({toCommonHTML:function(x){x=this.CHTMLdefaultNode(x);if(this.CHTML.w<0){x.parentNode.style.width="0px";x.parentNode.style.marginRight=a.Em(this.CHTML.w)}var v=this.Get("alttext");if(v&&!x.getAttribute("aria-label")){x.setAttribute("aria-label",v)}if(this.CHTML.pwidth){x.parentNode.style.minWidth=this.CHTML.mwidth||a.Em(this.CHTML.w);x.parentNode.className="mjx-full-width "+x.parentNode.className;x.style.width=this.CHTML.pwidth}else{if(!this.isMultiline&&this.Get("display")==="block"){var u=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(u.indentalignfirst!==d.INDENTALIGN.INDENTALIGN){u.indentalign=u.indentalignfirst}if(u.indentalign===d.INDENTALIGN.AUTO){u.indentalign=r.displayAlign}if(u.indentshiftfirst!==d.INDENTSHIFT.INDENTSHIFT){u.indentshift=u.indentshiftfirst}if(u.indentshift==="auto"){u.indentshift="0"}var t=this.CHTMLlength2em(u.indentshift,a.cwidth);if(r.displayIndent!=="0"){var s=this.CHTMLlength2em(r.displayIndent,a.cwidth);t+=(u.indentalign===d.INDENTALIGN.RIGHT?-s:s)}var w=x.parentNode.parentNode.style;x.parentNode.style.textAlign=w.textAlign=u.indentalign;if(t){if(u.indentalign==="right"){x.style.marginRight=a.Em(-t)}t*=a.em/a.outerEm;f.Insert(w,({left:{textIndent:a.Em(t)},right:{display:"flex",flexDirection:"row-reverse"},center:{textIndent:a.Em(2*t)}})[u.indentalign])}}}return x}});d.mi.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mn.Augment({CHTMLremapMinus:function(s){return s.replace(/^-/,"\u2212")},toCommonHTML:function(s){s=this.CHTMLdefaultNode(s,{childOptions:{remap:this.CHTMLremapMinus}});var u=this.CHTML,t=this.data.join("");if(u.skew!=null&&!a.isChar(t)){delete u.skew}if(u.r>u.w&&a.isChar(t)&&!this.CHTMLvariant.noIC){u.ic=u.r-u.w;u.w=u.r;s.lastChild.style.paddingRight=a.Em(u.ic)}return s}});d.mo.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLgetVariant();this.CHTMLhandleScale(v);a.BBOX.empty(this.CHTML);var t=this.getValues("displaystyle","largeop");t.variant=this.CHTMLvariant;t.text=this.data.join("");if(t.text==""){if(this.fence){v.style.width=a.Em(a.TEX.nulldelimiterspace)}}else{this.CHTMLadjustAccent(t);this.CHTMLadjustVariant(t);for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,u,{childOptions:{variant:t.mathvariant,remap:this.remap,remapchars:t.remapchars}})}if(!a.isChar(t.text)){delete this.CHTML.skew}else{if(this.CHTML.w===0&&this.CHTML.l<0){this.CHTMLfixCombiningChar(v)}}if(t.largeop){this.CHTMLcenterOp(v)}}this.CHTML.clean();this.CHTMLhandleBBox(v);this.CHTMLhandleSpace(v);this.CHTMLhandleColor(v);return v},CHTMLhandleSpace:function(v){if(this.hasMMLspacing()){var t=this.getValues("scriptlevel","lspace","rspace");t.lspace=Math.max(0,this.CHTMLlength2em(t.lspace));t.rspace=Math.max(0,this.CHTMLlength2em(t.rspace));if(t.scriptlevel>0){if(!this.hasValue("lspace")){t.lspace=0.15}if(!this.hasValue("rspace")){t.rspace=0.15}}var s=this,u=this.Parent();while(u&&u.isEmbellished()&&u.Core()===s){s=u;u=u.Parent();v=s.CHTMLnodeElement()}if(t.lspace){v.style.paddingLeft=a.Em(t.lspace)}if(t.rspace){v.style.paddingRight=a.Em(t.rspace)}this.CHTML.L=t.lspace;this.CHTML.R=t.rspace}else{this.SUPER(arguments).CHTMLhandleSpace.apply(this,arguments)}},CHTMLadjustAccent:function(u){var t=this.CoreParent();u.parent=t;if(a.isChar(u.text)&&t&&t.isa(d.munderover)){var v=t.data[t.over],s=t.data[t.under];if(v&&this===v.CoreMO()&&t.Get("accent")){u.remapchars=a.FONTDATA.REMAPACCENT}else{if(s&&this===s.CoreMO()&&t.Get("accentunder")){u.remapchars=a.FONTDATA.REMAPACCENTUNDER}}}},CHTMLadjustVariant:function(t){var s=t.parent,u=(s&&s.isa(d.msubsup)&&this!==s.data[s.base]);if(t.largeop){t.mathvariant=(t.displaystyle?"-largeOp":"-smallOp")}if(u){t.remapchars=this.remapChars;if(t.text.match(/['`"\u00B4\u2032-\u2037\u2057]/)){t.mathvariant="-TeX-variant"}}},CHTMLfixCombiningChar:function(s){s=s.firstChild;var t=a.Element("mjx-box",{style:{width:".25em","margin-left":"-.25em"}});s.insertBefore(t,s.firstChild)},CHTMLcenterOp:function(s){var u=this.CHTML;var t=(u.h-u.d)/2-a.TEX.axis_height;if(Math.abs(t)>0.001){s.style.verticalAlign=a.Em(-t)}u.h-=t;u.d+=t;if(u.r>u.w){u.ic=u.r-u.w;u.w=u.r;s.style.paddingRight=a.Em(u.ic)}},CHTMLcanStretch:function(w,u,v){if(!this.Get("stretchy")){return false}var x=this.data.join("");if(!a.isChar(x)){return false}var t={text:x};this.CHTMLadjustAccent(t);if(t.remapchars){x=t.remapchars[x]||x}x=a.FONTDATA.DELIMITERS[x.charCodeAt(0)];var s=(x&&x.dir===w.substr(0,1));if(s){s=(this.CHTML.h!==u||this.CHTML.d!==v||!!this.Get("minsize",true)||!!this.Get("maxsize",true));if(s){this.CHTML.stretch=true}}return s},CHTMLstretchV:function(v,y){var w=this.CHTMLnodeElement(),x=this.CHTML;var t=this.getValues("symmetric","maxsize","minsize");var u,s=a.TEX.axis_height;if(t.symmetric){u=2*Math.max(v-s,y+s)}else{u=v+y}t.maxsize=this.CHTMLlength2em(t.maxsize,x.h+x.d);t.minsize=this.CHTMLlength2em(t.minsize,x.h+x.d);u=Math.max(t.minsize,Math.min(t.maxsize,u));if(u!==x.sH){if(u!=t.minsize){u=[Math.max(u*a.TEX.delimiterfactor/1000,u-a.TEX.delimitershortfall),u]}while(w.firstChild){w.removeChild(w.firstChild)}this.CHTML=x=a.createDelimiter(w,this.data.join("").charCodeAt(0),u,x);x.sH=(u instanceof Array?u[1]:u);if(t.symmetric){u=(x.h+x.d)/2+s}else{u=(x.h+x.d)*v/(v+y)}u-=x.h;if(Math.abs(u)>0.05){w.style.verticalAlign=a.Em(u);x.h+=u;x.d-=u;x.t+=u;x.b-=u}}return this.CHTML},CHTMLstretchH:function(u,s){var v=this.CHTML;var t=this.getValues("maxsize","minsize","mathvariant","fontweight");if((t.fontweight==="bold"||(this.removedStyles||{}).fontWeight==="bold"||parseInt(t.fontweight)>=600)&&!this.Get("mathvariant",true)){t.mathvariant=d.VARIANT.BOLD}t.maxsize=this.CHTMLlength2em(t.maxsize,v.w);t.minsize=this.CHTMLlength2em(t.minsize,v.w);s=Math.max(t.minsize,Math.min(t.maxsize,s));if(s!==v.sW){while(u.firstChild){u.removeChild(u.firstChild)}this.CHTML=v=a.createDelimiter(u,this.data.join("").charCodeAt(0),s,v,t.mathvariant);v.sW=s}return this.CHTML}});d.mtext.Augment({CHTMLgetVariant:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){var u=(a.config.scale/100)/a.scale;var t={cache:{},fonts:[],className:"MJXc-font-inherit",rscale:u,style:{"font-size":a.Percent(u)}};var s=this.Get("mathvariant");if(s.match(/bold/)){t.style["font-weight"]="bold"}if(s.match(/italic|-tex-mathit/)){t.style["font-style"]="italic"}if(s==="monospace"){t.className+=" MJXc-monospace-font"}if(s==="double-struck"){t.className+=" MJXc-double-struck-font"}if(s.match(/fraktur/)){t.className+=" MJXc-fraktur-font"}if(s.match(/sans-serif/)){t.className+=" MJXc-sans-serif-font"}if(s.match(/script/)){t.className+=" MJXc-script-font"}this.CHTMLvariant=t}else{this.SUPER(arguments).CHTMLgetVariant.call(this)}}});d.merror.Augment({toCommonHTML:function(s){s=this.CHTMLdefaultNode(s);var t=this.CHTML;t.rescale(0.9);t.h+=3/a.em;if(t.h>t.t){t.t=t.h}t.d+=3/a.em;if(t.d>t.b){t.b=t.d}t.w+=8/a.em;t.r=t.w;t.l=0;return s}});d.mspace.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);var t=this.getValues("height","depth","width");var s=this.CHTMLlength2em(t.width),u=this.CHTMLlength2em(t.height),y=this.CHTMLlength2em(t.depth);var x=this.CHTML;x.w=x.r=s;x.h=x.t=u;x.d=x.b=y;x.l=0;if(s<0){v.style.marginRight=a.Em(s);s=0}v.style.width=a.Em(s);v.style.height=a.Em(Math.max(0,u+y));if(y){v.style.verticalAlign=a.Em(-y)}this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mpadded.Augment({toCommonHTML:function(t,F){var s;if(F&&F.stretch){t=t.firstChild;s=t.firstChild}else{t=this.CHTMLdefaultNode(t,{childNodes:"mjx-box",forceChild:true});s=t.firstChild;t=a.addElement(t,"mjx-block");t.appendChild(s);a.addElement(t,"mjx-strut")}var z=this.CHTMLbboxFor(0);var D=this.getValues("width","height","depth","lspace","voffset");var B=0,A=0,C=z.w,u=z.h,v=z.d;s.style.width=0;s.style.margin=a.Em(-u)+" 0 "+a.Em(-v);if(D.width!==""){C=this.CHTMLdimen(D.width,"w",C,0)}if(D.height!==""){u=this.CHTMLdimen(D.height,"h",u,0)}if(D.depth!==""){v=this.CHTMLdimen(D.depth,"d",v,0)}if(D.voffset!==""){A=this.CHTMLdimen(D.voffset);if(A){s.style.position="relative";s.style.top=a.Em(-A)}}if(D.lspace!==""){B=this.CHTMLdimen(D.lspace);if(B){s.style.position="relative";s.style.left=a.Em(B)}}t.style.width=0;t.style.marginTop=a.Em(u-k);t.style.padding="0 "+a.Em(C)+" "+a.Em(v)+" 0";var E=a.BBOX({w:C,h:u,d:v,l:0,r:C,t:u,b:v,scale:this.CHTML.scale,rscale:this.CHTML.rscale});E.combine(z,B,A);E.w=C;E.h=u;E.d=v;this.CHTML=E;return t.parentNode},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLdimen:function(w,y,x,s){if(s==null){s=-i}w=String(w);var t=w.match(/width|height|depth/);var u=(t?this.CHTML[t[0].charAt(0)]:(y?this.CHTML[y]:0));var v=(this.CHTMLlength2em(w,u)||0);if(w.match(/^[-+]/)&&x!=null){v+=x}if(s!=null){v=Math.max(s,v)}return v}});d.munderover.Augment({toCommonHTML:function(w,G){var E=this.getValues("displaystyle","accent","accentunder","align");var u=this.data[this.base];if(!E.displaystyle&&u!=null&&(u.movablelimits||u.CoreMO().Get("movablelimits"))){return d.msubsup.prototype.toCommonHTML.call(this,w,t)}var B,z,s=[],t=false;if(G&&G.stretch){if(this.data[this.base]){u=a.getNode(w,"mjx-op")}if(this.data[this.under]){B=a.getNode(w,"mjx-under")}if(this.data[this.over]){z=a.getNode(w,"mjx-over")}s[0]=u;s[1]=B||z;s[2]=z;t=true}else{var y=["mjx-op","mjx-under","mjx-over"];if(this.over===1){y[1]=y[2]}w=this.CHTMLdefaultNode(w,{childNodes:y,noBBox:true,forceChild:true,minChildren:2});s[0]=u=w.removeChild(w.firstChild);s[1]=B=z=w.removeChild(w.firstChild);if(w.firstChild){s[2]=z=w.removeChild(w.firstChild)}}var x=[],v=this.CHTMLgetBBoxes(x,s,E);var F=x[this.base],C=this.CHTML;C.w=v;C.h=F.h;C.d=F.d;if(F.h<0.35){u.style.marginTop=a.Em(F.h-0.35)}if(E.accent&&F.h<a.TEX.x_height){C.h+=a.TEX.x_height-F.h;u.style.marginTop=a.Em(a.TEX.x_height-Math.max(F.h,0.35));F.h=a.TEX.x_height}var A=u,D=0;if(F.ic){D=1.3*F.ic+0.05}if(this.data[this.over]){A=this.CHTMLaddOverscript(z,x,E,D,u,t)}if(this.data[this.under]){this.CHTMLaddUnderscript(B,x,E,D,w,A,t)}else{if(!t){w.appendChild(A)}}this.CHTMLplaceBoxes(u,B,z,E,x);return w},CHTMLgetBBoxes:function(A,x,v){var y,t=this.data.length,z,u=-i,s=u;for(y=0;y<t;y++){A[y]=this.CHTMLbboxFor(y);A[y].x=A[y].y=0;if(this.data[y]){A[y].stretch=this.data[y].CHTMLcanStretch("Horizontal")}z=(y===this.base?1:A[y].rscale);if(y!==this.base){delete A[y].L;delete A[y].R}s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)));if(!A[y].stretch&&s>u){u=s}}if(u===-i){u=s}for(y=0;y<t;y++){if(A[y].stretch){z=(y===this.base?1:A[y].rscale);A[y]=this.data[y].CHTMLstretchH(x[y].firstChild,u/z);A[y].x=A[y].y=0;s=Math.max(s,z*(A[y].w+(A[y].L||0)+(A[y].R||0)))}}if(!A[this.base]){A[this.base]=a.BBOX.empty()}return s},CHTMLaddOverscript:function(B,z,F,E,t,s){var D=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var A=z[this.over],G=z[this.base],u=A.rscale;if(!s){var C=a.Element("mjx-stack");C.appendChild(B);C.appendChild(t)}if(A.D){A.d=A.D}if(A.d<0){B.firstChild.style.verticalAlign="top";B.style.height=a.Em(A.h+A.d)}A.x=0;if(F.accent){if(A.w<0.001){A.x+=(A.r-A.l)/2}v=a.TEX.rule_thickness;w=0;if(G.skew){A.x+=u*G.skew;D.skew=u*G.skew;if(A.x+u*A.w>D.w){D.skew+=(D.w-(A.x+u*A.w))/2}}}else{y=a.TEX.big_op_spacing1;x=a.TEX.big_op_spacing3;v=Math.max(y,x-Math.max(0,u*A.d))}A.x+=E/2;A.y=D.h+v+w+u*A.d;if(v){B.style.paddingBottom=a.Em(v/u)}if(w){B.style.paddingTop=a.Em(w/u)}return C},CHTMLaddUnderscript:function(B,z,E,D,t,A,s){var C=this.CHTML;var y,x,w=a.TEX.big_op_spacing5,v;var F=z[this.under],u=F.rscale;if(!s){a.addElement(t,"mjx-itable",{},[["mjx-row",{},[["mjx-cell"]]],["mjx-row"]]);t.firstChild.firstChild.firstChild.appendChild(A);t.firstChild.lastChild.appendChild(B)}if(F.D){F.d=F.D}if(F.d<0){B.firstChild.style.verticalAlign="top";t.firstChild.style.marginBottom=a.Em(F.d)}if(E.accentunder){v=2*a.TEX.rule_thickness;w=0}else{y=a.TEX.big_op_spacing2;x=a.TEX.big_op_spacing4;v=Math.max(y,x-u*F.h)}F.x=-D/2;F.y=-(C.d+v+w+u*F.h);if(v){B.style.paddingTop=a.Em(v/u)}if(w){B.style.paddingBottom=a.Em(w/u)}},CHTMLplaceBoxes:function(s,B,A,E,z){var t=this.CHTML.w,y,v=z.length,x;var D=a.BBOX.zero();D.scale=this.CHTML.scale;D.rscale=this.CHTML.rscale;z[this.base].x=z[this.base].y=0;var F=i;for(y=0;y<v;y++){x=(y===this.base?1:z[y].rscale);var C=x*(z[y].w+(z[y].L||0)+(z[y].R||0));z[y].x+={left:0,center:(t-C)/2,right:t-C}[E.align];if(z[y].x<F){F=z[y].x}}for(y=0;y<v;y++){if(this.data[y]){x=(y===this.base?1:z[y].rscale);if(z[y].x-F){var u=(y===this.base?s:y===this.over?A:B);u.style.paddingLeft=a.Em((z[y].x-F)/x)}D.combine(z[y],z[y].x-F,z[y].y)}}this.CHTML=D},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-op","mjx-under","mjx-over"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.msubsup.Augment({toCommonHTML:function(S,C){var A=this.getValues("displaystyle","subscriptshift","superscriptshift","texprimestyle");var D,H,z;if(C&&C.stretch){if(this.data[this.base]){D=a.getNode(S,"mjx-base")}if(this.data[this.sub]){H=a.getNode(S,"mjx-sub")}if(this.data[this.sup]){z=a.getNode(S,"mjx-sup")}E=a.getNode(S,"mjx-stack")}else{var K=["mjx-base","mjx-sub","mjx-sup"];if(this.sup===1){K[1]=K[2]}S=this.CHTMLdefaultNode(S,{childNodes:K,noBBox:true,forceChild:true,minChildren:3});D=S.childNodes[this.base];H=S.childNodes[this.sub];z=S.childNodes[this.sup];if(!this.CHTMLnotEmpty(this.data[this.sub])){S.removeChild(H);H=null}if(!this.CHTMLnotEmpty(this.data[this.sup])){S.removeChild(z);z=null}if(S.childNodes.length===3){var E=a.addElement(S,"mjx-stack");E.appendChild(z);E.appendChild(H)}}var F=[],G=a.BBOX.empty(this.CHTML);for(var V=0,T=this.data.length;V<T;V++){F[V]=this.CHTMLbboxFor(V)}var y=F[this.base]||a.BBOX.empty(),P=F[this.sub],W=F[this.sup];var B=(H?P.rscale:1),w=(z?W.rscale:1);G.combine(y,0,0);var X=a.TEX.x_height,N=a.TEX.scriptspace;var Q=a.TEX.sup_drop*w,O=a.TEX.sub_drop*B;var L=y.h-Q,J=y.d+O,Y=0,R;if(y.ic){G.w-=y.ic;D.style.marginRight=a.Em(-y.ic);Y=1.3*y.ic+0.05}var U=this.data[this.base];if(U){if((U.type==="mrow"||U.type==="mstyle")&&U.data.length===1){U=U.data[0]}if(U.type==="mi"||U.type==="mo"){if(a.isChar(U.data.join(""))&&y.rscale===1&&!y.sH&&!U.Get("largeop")){L=J=0}}}A.subscriptshift=(A.subscriptshift===""?0:this.CHTMLlength2em(A.subscriptshift));A.superscriptshift=(A.superscriptshift===""?0:this.CHTMLlength2em(A.superscriptshift));var I=G.w;if(H){P.w+=N}if(z){W.w+=N}if(!z){if(H){J=Math.max(J,a.TEX.sub1,B*P.h-(4/5)*X,A.subscriptshift);H.style.verticalAlign=a.Em(-J/B);H.style.paddingRight=a.Em(N/B);G.combine(P,I,-J)}}else{if(!H){R=a.TEX[(A.displaystyle?"sup1":(A.texprimestyle?"sup3":"sup2"))];L=Math.max(L,R,w*W.d+(1/4)*X,A.superscriptshift);z.style.verticalAlign=a.Em(L/w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);G.combine(W,I+Y,L)}else{J=Math.max(J,a.TEX.sub2);var M=a.TEX.rule_thickness;if((L-w*W.d)-(B*P.h-J)<3*M){J=3*M-L+w*W.d+B*P.h;Q=(4/5)*X-(L-w*W.d);if(Q>0){L+=Q;J-=Q}}L=Math.max(L,A.superscriptshift);J=Math.max(J,A.subscriptshift);H.style.paddingRight=a.Em(N/B);z.style.paddingBottom=a.Em(L/w+J/B-W.d-P.h/B*w);z.style.paddingLeft=a.Em(Y/w);z.style.paddingRight=a.Em(N/w);E.style.verticalAlign=a.Em(-J);G.combine(W,I+Y,L);G.combine(P,I,-J)}}G.clean();return S},CHTMLstretchV:d.mbase.CHTMLstretchV,CHTMLstretchH:d.mbase.CHTMLstretchH,CHTMLchildNode:function(u,t){var s=["mjx-base","mjx-sub","mjx-sup"];if(this.over===1){s[1]=s[2]}return a.getNode(u,s[t])}});d.mfrac.Augment({toCommonHTML:function(N){N=this.CHTMLdefaultNode(N,{childNodes:["mjx-numerator","mjx-denominator"],childOptions:{autowidth:true},forceChild:true,noBBox:true,minChildren:2});var x=this.getValues("linethickness","displaystyle","numalign","denomalign","bevelled");var O=x.displaystyle;var D=N.firstChild,w=N.lastChild;var y=a.addElement(N,"mjx-box");y.appendChild(D);y.appendChild(w);N.appendChild(y);if(x.numalign!=="center"){D.style.textAlign=x.numalign}if(x.denomalign!=="center"){w.style.textAlign=x.denomalign}var P=this.CHTMLbboxFor(0),B=this.CHTMLbboxFor(1),C=a.BBOX.empty(this.CHTML),F=P.rscale,z=B.rscale;x.linethickness=Math.max(0,a.thickness2em(x.linethickness||"0",C.scale));var M=a.TEX.min_rule_thickness/a.em,T=a.TEX.axis_height;var J=x.linethickness,L,K,I,G;if(x.bevelled){y.className+=" MJXc-bevelled";var S=(O?0.4:0.15);var E=Math.max(F*(P.h+P.d),z*(B.h+B.d))+2*S;var R=a.Element("mjx-bevel");y.insertBefore(R,w);var s=a.createDelimiter(R,47,E);I=F*(P.d-P.h)/2+T+S;G=z*(B.d-B.h)/2+T-S;if(I){D.style.verticalAlign=a.Em(I/F)}if(G){w.style.verticalAlign=a.Em(G/z)}R.style.marginLeft=R.style.marginRight=a.Em(-S/2);C.combine(P,0,I);C.combine(s,F*P.w-S/2,0);C.combine(B,F*P.w+s.w-S,G);C.clean()}else{y.className+=" MJXc-stacked";if(O){I=a.TEX.num1;G=a.TEX.denom1}else{I=(J===0?a.TEX.num3:a.TEX.num2);G=a.TEX.denom2}if(J===0){L=Math.max((O?7:3)*a.TEX.rule_thickness,2*M);K=(I-P.d*F)-(B.h*z-G);if(K<L){I+=(L-K)/2;G+=(L-K)/2}}else{L=Math.max((O?2:0)*M+J,J/2+1.5*M);J=Math.max(J,M);K=(I-P.d*F)-(T+J/2);if(K<L){I+=(L-K)}K=(T-J/2)-(B.h*z-G);if(K<L){G+=(L-K)}P.L=P.R=B.L=B.R=0.1;var A=a.addElement(y,"mjx-line",{style:{"border-bottom":a.Px(J*C.scale,1)+" solid",top:a.Em(-J/2-T)}})}C.combine(P,0,I);C.combine(B,0,-G);C.clean();y.style.width=a.Em(C.w);D.style.width=a.Em(C.w/F);w.style.width=a.Em(C.w/z);if(A){A.style.width=y.style.width}D.style.top=a.Em(-C.h/F);w.style.bottom=a.Em(-C.d/z);a.addElement(N,"mjx-vsize",{style:{height:a.Em(C.h+C.d),verticalAlign:a.Em(-C.d)}})}if(!this.texWithDelims){var Q=a.TEX.nulldelimiterspace;y.style.padding="0 "+a.Em(Q);C.l+=Q;C.r+=Q;C.w+=2*Q}return N},CHTMLcanStretch:function(s){return false}});d.msqrt.Augment({toCommonHTML:function(w){w=this.CHTMLdefaultNode(w,{childNodes:["mjx-box","mjx-root"],forceChild:true,noBBox:true});var v=w.firstChild||a.Element("mjx-box");var E=a.addElement(w,"mjx-box");E.appendChild(v);var F=this.CHTMLbboxFor(0),C=a.BBOX.empty(this.CHTML);var G=a.TEX.rule_thickness,y=a.TEX.surd_height,u=G,s,D;if(this.Get("displaystyle")){u=a.TEX.x_height}s=G+u/4;D=F.h+F.d+s+G;var z=a.Element("mjx-surd");E.insertBefore(z,v);var A=a.createDelimiter(z,8730,[D-0.04,D]);if(A.h+A.d>D){s=((A.h+A.d)-(D-G))/2}D=F.h+s+G;var B=this.CHTMLaddRoot(w,A,A.h+A.d-D);v.style.paddingTop=a.Em(s);v.style.borderTop=a.Px(y*F.scale,1)+" solid";E.style.paddingTop=a.Em(2*G-y);F.h+=s+2*G;C.combine(A,B,D-A.h);C.combine(F,B+A.w,0);C.clean();return w},CHTMLaddRoot:function(){return 0},CHTMLhandleBBox:function(s){var t=this.CHTMLbboxFor(0);delete t.pwidth;this.SUPER(arguments).CHTMLhandleBBox.apply(this,arguments)}});d.mroot.Augment({toCommonHTML:d.msqrt.prototype.toCommonHTML,CHTMLhandleBBox:d.msqrt.prototype.CHTMLhandleBBox,CHTMLaddRoot:function(A,u,v){if(!this.data[1]){return}var z=this.CHTML,B=this.data[1].CHTML,x=A.firstChild;var s=B.rscale;var t=this.CHTMLrootHeight(B,u,z.scale)-v;var y=Math.min(B.w,B.r);var C=Math.max(y,u.offset/s);if(t){x.style.verticalAlign=a.Em(t/s)}if(C>y){x.firstChild.style.paddingLeft=a.Em(C-y)}C-=u.offset/s;x.style.width=a.Em(C);z.combine(B,0,t);return C*s},CHTMLrootHeight:function(u,s,t){return 0.45*(s.h+s.d-0.9*t)+0.6*t+Math.max(0,u.d*u.scale-0.075)}});d.mfenced.Augment({toCommonHTML:function(v){v=this.CHTMLcreateNode(v);this.CHTMLhandleStyle(v);this.CHTMLhandleScale(v);this.CHTMLaddChild(v,"open",{});for(var u=0,s=this.data.length;u<s;u++){this.CHTMLaddChild(v,"sep"+u,{});this.CHTMLaddChild(v,u,{})}this.CHTMLaddChild(v,"close",{});var t=this.CHTML.h,w=this.CHTML.d;this.CHTMLstretchChildV("open",t,w);for(u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV("sep"+u,t,w);this.CHTMLstretchChildV(u,t,w)}this.CHTMLstretchChildV("close",t,w);this.CHTMLhandleSpace(v);this.CHTMLhandleBBox(v);this.CHTMLhandleColor(v);return v}});d.mrow.Augment({toCommonHTML:function(w,t){t=t||{};w=this.CHTMLdefaultNode(w);var z=this.CHTML,v=z.h,x=z.d,y;for(var u=0,s=this.data.length;u<s;u++){this.CHTMLstretchChildV(u,v,x);if(this.data[u]&&this.data[u].CHTML&&this.data[u].CHTML.w<0){y=true}}if(this.CHTMLlineBreaks()){this.CHTMLmultiline(w);if(t.autowidth){w.style.width=""}}else{if(y&&z.w){w.style.width=a.Em(Math.max(0,z.w))}if(z.w<0){w.style.marginRight=a.Em(z.w)}}return w},CHTMLlineBreaks:function(){if(!this.parent.linebreakContainer){return false}return(c.automatic&&this.CHTML.w>a.linebreakWidth)||this.hasNewline()},CHTMLstretchV:function(s,t){this.CHTMLstretchChildV(this.CoreIndex(),s,t);return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLstretchChildH(this.CoreIndex(),s,t);return this.CHTML}});d.TeXAtom.Augment({toCommonHTML:function(x,w){if(!w||!w.stretch){x=this.CHTMLdefaultNode(x)}if(this.texClass===d.TEXCLASS.VCENTER){var s=a.TEX.axis_height,u=this.CHTML;var t=s-(u.h+u.d)/2+u.d;if(Math.abs(t)>0.001){x.style.verticalAlign=a.Em(t);u.h+=t;u.t+=t;u.d-=t;u.b-=t}}return x},CHTMLstretchV:function(s,t){this.CHTMLupdateFrom(this.Core().CHTMLstretchV(s,t));this.toCommonHTML(this.CHTMLnodeElement(),{stretch:true});return this.CHTML},CHTMLstretchH:function(t,s){this.CHTMLupdateFrom(this.CHTMLstretchCoreH(t,s));this.toCommonHTML(t,{stretch:true});return this.CHTML}});d.semantics.Augment({toCommonHTML:function(s){s=this.CHTMLcreateNode(s);if(this.data[0]){this.data[0].toCommonHTML(s);this.CHTMLupdateFrom(this.data[0].CHTML);this.CHTMLhandleBBox(s)}return s}});d.annotation.Augment({toCommonHTML:function(s){return this.CHTMLcreateNode(s)}});d["annotation-xml"].Augment({toCommonHTML:d.mbase.CHTMLautoload});d.ms.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mglyph.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.menclose.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.maction.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mmultiscripts.Augment({toCommonHTML:d.mbase.CHTMLautoload});d.mtable.Augment({toCommonHTML:d.mbase.CHTMLautoload});MathJax.Hub.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});MathJax.Hub.Register.StartupHook("End Cookie",function(){if(f.config.menuSettings.zoom!=="None"){o.Require("[MathJax]/extensions/MathZoom.js")}})})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.CommonHTML);
diff --git a/jax/output/HTML-CSS/autoload/annotation-xml.js b/jax/output/HTML-CSS/autoload/annotation-xml.js
index 3134cef34a..006fc5a1c8 100644
--- a/jax/output/HTML-CSS/autoload/annotation-xml.js
+++ b/jax/output/HTML-CSS/autoload/annotation-xml.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/autoload/annotation-xml.js
+ *  /MathJax-v2/jax/output/HTML-CSS/autoload/annotation-xml.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a["annotation-xml"].Augment({toHTML:function(f){f=this.HTMLhandleSize(this.HTMLcreateSpan(f));var g=this.Get("encoding");for(var e=0,d=this.data.length;e<d;e++){this.data[e].toHTML(f,g)}this.HTMLhandleSpace(f);this.HTMLhandleColor(f);return f},HTMLgetScale:function(){return this.SUPER(arguments).HTMLgetScale.call(this)/b.scale}});a.xml.Augment({toHTML:function(f,g){for(var e=0,d=this.data.length;e<d;e++){f.appendChild(this.data[e].cloneNode(true))}var j=f.bbox;f.bbox=null;j.rw=j.w=b.getW(f);var h=b.getHD(f);j.h=h.h;j.d=h.d;f.bbox=j}});MathJax.Hub.Startup.signal.Post("HTML-CSS annotation-xml Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/annotation-xml.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a["annotation-xml"].Augment({toHTML:function(f){f=this.HTMLhandleSize(this.HTMLcreateSpan(f));var g=this.Get("encoding");for(var e=0,d=this.data.length;e<d;e++){this.data[e].toHTML(f,g)}this.HTMLhandleSpace(f);this.HTMLhandleColor(f);return f},HTMLgetScale:function(){return this.SUPER(arguments).HTMLgetScale.call(this)/b.scale}});a.xml.Augment({toHTML:function(f,g){for(var e=0,d=this.data.length;e<d;e++){f.appendChild(this.data[e].cloneNode(true))}var j=f.bbox;f.bbox=null;j.rw=j.w=b.getW(f);var h=b.getHD(f);j.h=h.h;j.d=h.d;f.bbox=j}});MathJax.Hub.Startup.signal.Post("HTML-CSS annotation-xml Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/annotation-xml.js")});
diff --git a/jax/output/HTML-CSS/autoload/maction.js b/jax/output/HTML-CSS/autoload/maction.js
index 63b6db0026..136302138e 100644
--- a/jax/output/HTML-CSS/autoload/maction.js
+++ b/jax/output/HTML-CSS/autoload/maction.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/autoload/maction.js
+ *  /MathJax-v2/jax/output/HTML-CSS/autoload/maction.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var g="2.7.6";var c=MathJax.ElementJax.mml,e=MathJax.OutputJax["HTML-CSS"];var d,f,b;var a=e.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},e.config.tooltip||{});c.maction.Augment({HTMLtooltip:e.addElement(document.body,"div",{id:"MathJax_Tooltip"}),toHTML:function(j,h,l){var i=this.selected();if(i.type=="null"){j=this.HTMLcreateSpan(j);j.bbox=this.HTMLzeroBBox();return j}j=this.HTMLcreateSpan(j);j.bbox=null;j.scale=this.HTMLgetScale();var k=i.toHTML(j);if(l!=null){e.Remeasured(i.HTMLstretchV(j,h,l),j)}else{if(h!=null){e.Remeasured(i.HTMLstretchH(j,h),j)}else{e.Measured(k,j)}}this.HTMLhandleHitBox(j);this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return j},HTMLhandleHitBox:function(i,l){var k;if(e.msieHitBoxBug){var j=e.addElement(i,"span",{isMathJax:true});k=e.createFrame(j,i.bbox.h,i.bbox.d,i.bbox.w,0,"none");i.insertBefore(j,i.firstChild);j.style.marginRight=e.Em(-i.bbox.w);if(e.msieInlineBlockAlignBug){k.style.verticalAlign=e.Em(e.getHD(i).d-i.bbox.d)}}else{k=e.createFrame(i,i.bbox.h,i.bbox.d,i.bbox.w,0,"none");i.insertBefore(k,i.firstChild);k.style.marginRight=e.Em(-i.bbox.w)}k.className="MathJax_HitBox";k.id="MathJax-HitBox-"+this.spanID+(l||"")+e.idPostfix;var h=this.Get("actiontype");if(this.HTMLaction[h]){this.HTMLaction[h].call(this,i,k,this.Get("selection"))}},HTMLstretchH:c.mbase.HTMLstretchH,HTMLstretchV:c.mbase.HTMLstretchV,HTMLaction:{toggle:function(i,j,h){this.selection=h;i.onclick=MathJax.Callback(["HTMLclick",this]);j.style.cursor=i.childNodes[1].style.cursor="pointer"},statusline:function(i,j,h){i.onmouseover=MathJax.Callback(["HTMLsetStatus",this]);i.onmouseout=MathJax.Callback(["HTMLclearStatus",this]);i.onmouseover.autoReset=i.onmouseout.autoReset=true;j.style.cursor=i.childNodes[1].style.cursor="default"},tooltip:function(i,j,h){if(this.data[1]&&this.data[1].isToken){i.title=i.alt=this.data[1].data.join("")}else{i.onmouseover=MathJax.Callback(["HTMLtooltipOver",this]);i.onmouseout=MathJax.Callback(["HTMLtooltipOut",this]);i.onmouseover.autoReset=i.onmouseout.autoReset=true}j.style.cursor=i.childNodes[1].style.cursor="default"}},HTMLclick:function(l){this.selection++;if(this.selection>this.data.length){this.selection=1}var k=this;while(k.type!=="math"){k=k.inherit}var h=MathJax.Hub.getJaxFor(k.inputID),j=!!h.hover;h.Update();if(j){var i=document.getElementById(h.inputID+"-Span");MathJax.Extension.MathEvents.Hover.Hover(h,i)}return MathJax.Extension.MathEvents.Event.False(l)},HTMLsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},HTMLclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},HTMLtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["HTMLtooltipPost",this,h+a.offsetX,k+a.offsetY]);f=setTimeout(j,a.delayPost)},HTMLtooltipOut:function(h){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["HTMLtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},HTMLtooltipPost:function(o,m){f=null;if(b){clearTimeout(b);b=null}var p=this.HTMLtooltip;p.style.display="block";p.style.opacity="";p.style.filter=e.config.styles["#MathJax_Tooltip"].filter;if(this===d){return}p.style.left=o+"px";p.style.top=m+"px";p.innerHTML='<span class="MathJax"><nobr></nobr></span>';var q=p.insertBefore(e.TestSpan.cloneNode(true),p.firstChild);var l=q.childNodes[1].offsetHeight/60,h=q.childNodes[2].offsetHeight/60;q.parentNode.removeChild(q);e.em=e.outerEm=c.mbase.prototype.em=h;var i=Math.floor(Math.max(e.config.minScaleAdjust/100,(l/e.TeX.x_height)/h)*e.config.scale);p.firstChild.style.fontSize=i+"%";var n=e.createStack(p.firstChild.firstChild);var k=e.createBox(n);try{e.Measured(this.data[1].toHTML(k),k)}catch(j){if(!j.restart){throw j}p.style.display="none";MathJax.Callback.After(["HTMLtooltipPost",this,o,m],j.restart);return}e.placeBox(k,0,0);e.createRule(p.firstChild.firstChild,k.bbox.h,k.bbox.d,0);d=this},HTMLtooltipClear:function(i){var h=this.HTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["HTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Browser.Select({MSIE:function(h){e.msieHitBoxBug=true}});MathJax.Hub.Startup.signal.Post("HTML-CSS maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var g="2.7.9";var c=MathJax.ElementJax.mml,e=MathJax.OutputJax["HTML-CSS"];var d,f,b;var a=e.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},e.config.tooltip||{});c.maction.Augment({HTMLtooltip:e.addElement(document.body,"div",{id:"MathJax_Tooltip"}),toHTML:function(j,h,l){var i=this.selected();if(i.type=="null"){j=this.HTMLcreateSpan(j);j.bbox=this.HTMLzeroBBox();return j}j=this.HTMLcreateSpan(j);j.bbox=null;j.scale=this.HTMLgetScale();var k=i.toHTML(j);if(l!=null){e.Remeasured(i.HTMLstretchV(j,h,l),j)}else{if(h!=null){e.Remeasured(i.HTMLstretchH(j,h),j)}else{e.Measured(k,j)}}this.HTMLhandleHitBox(j);this.HTMLhandleSpace(j);this.HTMLhandleColor(j);return j},HTMLhandleHitBox:function(i,l){var k;if(e.msieHitBoxBug){var j=e.addElement(i,"span",{isMathJax:true});k=e.createFrame(j,i.bbox.h,i.bbox.d,i.bbox.w,0,"none");i.insertBefore(j,i.firstChild);j.style.marginRight=e.Em(-i.bbox.w);if(e.msieInlineBlockAlignBug){k.style.verticalAlign=e.Em(e.getHD(i).d-i.bbox.d)}}else{k=e.createFrame(i,i.bbox.h,i.bbox.d,i.bbox.w,0,"none");i.insertBefore(k,i.firstChild);k.style.marginRight=e.Em(-i.bbox.w)}k.className="MathJax_HitBox";k.id="MathJax-HitBox-"+this.spanID+(l||"")+e.idPostfix;var h=this.Get("actiontype");if(this.HTMLaction[h]){this.HTMLaction[h].call(this,i,k,this.Get("selection"))}},HTMLstretchH:c.mbase.HTMLstretchH,HTMLstretchV:c.mbase.HTMLstretchV,HTMLaction:{toggle:function(i,j,h){this.selection=h;i.onclick=MathJax.Callback(["HTMLclick",this]);j.style.cursor=i.childNodes[1].style.cursor="pointer"},statusline:function(i,j,h){i.onmouseover=MathJax.Callback(["HTMLsetStatus",this]);i.onmouseout=MathJax.Callback(["HTMLclearStatus",this]);i.onmouseover.autoReset=i.onmouseout.autoReset=true;j.style.cursor=i.childNodes[1].style.cursor="default"},tooltip:function(i,j,h){if(this.data[1]&&this.data[1].isToken){i.title=i.alt=this.data[1].data.join("")}else{i.onmouseover=MathJax.Callback(["HTMLtooltipOver",this]);i.onmouseout=MathJax.Callback(["HTMLtooltipOut",this]);i.onmouseover.autoReset=i.onmouseout.autoReset=true}j.style.cursor=i.childNodes[1].style.cursor="default"}},HTMLclick:function(l){this.selection++;if(this.selection>this.data.length){this.selection=1}var k=this;while(k.type!=="math"){k=k.inherit}var h=MathJax.Hub.getJaxFor(k.inputID),j=!!h.hover;h.Update();if(j){var i=document.getElementById(h.inputID+"-Span");MathJax.Extension.MathEvents.Hover.Hover(h,i)}return MathJax.Extension.MathEvents.Event.False(l)},HTMLsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},HTMLclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},HTMLtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(f){clearTimeout(f)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["HTMLtooltipPost",this,h+a.offsetX,k+a.offsetY]);f=setTimeout(j,a.delayPost)},HTMLtooltipOut:function(h){if(f){clearTimeout(f);f=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["HTMLtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},HTMLtooltipPost:function(o,m){f=null;if(b){clearTimeout(b);b=null}var p=this.HTMLtooltip;p.style.display="block";p.style.opacity="";p.style.filter=e.config.styles["#MathJax_Tooltip"].filter;if(this===d){return}p.style.left=o+"px";p.style.top=m+"px";p.innerHTML='<span class="MathJax"><nobr></nobr></span>';var q=p.insertBefore(e.TestSpan.cloneNode(true),p.firstChild);var l=q.childNodes[1].offsetHeight/60,h=q.childNodes[2].offsetHeight/60;q.parentNode.removeChild(q);e.em=e.outerEm=c.mbase.prototype.em=h;var i=Math.floor(Math.max(e.config.minScaleAdjust/100,(l/e.TeX.x_height)/h)*e.config.scale);p.firstChild.style.fontSize=i+"%";var n=e.createStack(p.firstChild.firstChild);var k=e.createBox(n);try{e.Measured(this.data[1].toHTML(k),k)}catch(j){if(!j.restart){throw j}p.style.display="none";MathJax.Callback.After(["HTMLtooltipPost",this,o,m],j.restart);return}e.placeBox(k,0,0);e.createRule(p.firstChild.firstChild,k.bbox.h,k.bbox.d,0);d=this},HTMLtooltipClear:function(i){var h=this.HTMLtooltip;if(i<=0){h.style.display="none";h.style.opacity=h.style.filter="";b=null}else{h.style.opacity=i/100;h.style.filter="alpha(opacity="+i+")";b=setTimeout(MathJax.Callback(["HTMLtooltipClear",this,i-20]),50)}}});MathJax.Hub.Browser.Select({MSIE:function(h){e.msieHitBoxBug=true}});MathJax.Hub.Startup.signal.Post("HTML-CSS maction Ready");MathJax.Ajax.loadComplete(e.autoloadDir+"/maction.js")});
diff --git a/jax/output/HTML-CSS/autoload/menclose.js b/jax/output/HTML-CSS/autoload/menclose.js
index 3d52246f37..4618f772e0 100644
--- a/jax/output/HTML-CSS/autoload/menclose.js
+++ b/jax/output/HTML-CSS/autoload/menclose.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/autoload/menclose.js
+ *  /MathJax-v2/jax/output/HTML-CSS/autoload/menclose.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var c="http://www.w3.org/2000/svg";var f="urn:schemas-microsoft-com:vml";var e="mjxvml";a.menclose.Augment({toHTML:function(ac){var j=this.getValues("notation","thickness","padding","mathcolor","color");if(j.color&&!this.mathcolor){j.mathcolor=j.color}if(j.thickness==null){j.thickness=".075em"}if(j.padding==null){j.padding=".2em"}ac=this.HTMLcreateSpan(ac);var V=this.HTMLgetMu(ac),af=this.HTMLgetScale();var X=b.length2em(j.padding,V,1/b.em)*af;var N=b.length2em(j.thickness,V,1/b.em)*af;N=Math.max(1/b.em,N);var E=b.Em(N)+" solid";var z=b.createStack(ac);var v=b.createBox(z);this.HTMLmeasureChild(0,v);var K=v.bbox.h+X+N,P=v.bbox.d+X+N,o=v.bbox.w+2*(X+N);var O=b.createFrame(z,K+P,0,o,N,"none");O.id="MathJax-frame-"+this.spanID;b.addBox(z,O);z.insertBefore(O,v);var s=0,U=0,u=0,A=0,M=0,J=0;var S,g;var I,ad,Q;if(!j.mathcolor){j.mathcolor="currentColor"}else{ac.style.color=j.mathcolor}var k=MathJax.Hub.SplitList(j.notation),q={};for(var ab=0,Z=k.length;ab<Z;ab++){q[k[ab]]=true}if(q[a.NOTATION.UPDIAGONALARROW]){q[a.NOTATION.UPDIAGONALSTRIKE]=false}var G;for(var Y in q){if(!q.hasOwnProperty(Y)||!q[Y]){continue}switch(Y){case a.NOTATION.BOX:O.style.border=E;if(!b.msieBorderWidthBug){s=U=A=u=N}break;case a.NOTATION.ROUNDEDBOX:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}Q=Math.floor(1000*Math.min(o,K+P)-2*N);I=Math.floor(4000*(o-2*N)),ad=Math.floor(4000*(K+P-2*N));this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o-2*N),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(N,0.5),top:this.HTMLpx(N,0.5)},path:"m "+Q+",0 qx 0,"+Q+" l 0,"+(ad-Q)+" qy "+Q+","+ad+" l "+(I-Q)+","+ad+" qx "+I+","+(ad-Q)+" l "+I+","+Q+" qy "+(I-Q)+",0 x e",coordsize:I+","+ad})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"rect",{x:1,y:1,width:this.HTMLpx(o-N)-1,height:this.HTMLpx(K+P-N)-1,rx:this.HTMLpx(Math.min(K+P,o)/4)})}break;case a.NOTATION.CIRCLE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"oval",{style:{width:this.HTMLpx(o-2*N),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(N,0.5),top:this.HTMLpx(N,0.5)}})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"ellipse",{rx:this.HTMLpx(o/2-N),ry:this.HTMLpx((K+P)/2-N),cx:this.HTMLpx(o/2),cy:this.HTMLpx((K+P)/2)})}break;case a.NOTATION.LEFT:O.style.borderLeft=E;if(!b.msieBorderWidthBug){A=N}break;case a.NOTATION.ACTUARIAL:O.style.borderTop=E;if(!b.msieBorderWidthBug){s=N;O.bbox.w+=X-N}case a.NOTATION.RIGHT:O.style.borderRight=E;if(!b.msieBorderWidthBug){u=N}break;case a.NOTATION.VERTICALSTRIKE:G=b.createRule(z,K+P-N/2,0,N);b.addBox(z,G);b.placeBox(G,X+N+v.bbox.w/2,-P,true);break;case a.NOTATION.TOP:O.style.borderTop=E;if(!b.msieBorderWidthBug){s=N}break;case a.NOTATION.BOTTOM:O.style.borderBottom=E;if(!b.msieBorderWidthBug){U=N}break;case a.NOTATION.HORIZONTALSTRIKE:G=b.createRule(z,N,0,o-N/2);b.addBox(z,G);b.placeBox(G,0,(K+P)/2-P,true);break;case a.NOTATION.UPDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}G=this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(K+P-N),to:this.HTMLpx(o)+",0"})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(K+P-N),x2:this.HTMLpx(o-N),y2:this.HTMLpx(N)})}break;case a.NOTATION.UPDIAGONALARROW:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}G=this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(K+P-N),to:this.HTMLpx(o)+","+this.HTMLpx(N)});this.HTMLvmlElement(G,"stroke",{endarrow:"classic"})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}var aa=Math.sqrt(o*o+(K+P)*(K+P)),ae=1/aa*10*this.scale/b.em*N/0.075;I=o*ae;ad=(K+P)*ae;var F=o-N/2,C=N/2;if(C+ad-0.4*I<0){C=0.4*I-ad}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(K+P-N),x2:this.HTMLpx(F-0.7*I),y2:this.HTMLpx(C+0.7*ad)});this.HTMLsvgElement(S.firstChild,"polygon",{points:this.HTMLpx(F)+","+this.HTMLpx(C)+" "+this.HTMLpx(F-I-0.4*ad)+","+this.HTMLpx(C+ad-0.4*I)+" "+this.HTMLpx(F-0.7*I)+","+this.HTMLpx(C+0.7*ad)+" "+this.HTMLpx(F-I+0.4*ad)+","+this.HTMLpx(C+ad+0.4*I)+" "+this.HTMLpx(F)+","+this.HTMLpx(C),fill:j.mathcolor,stroke:"none"})}break;case a.NOTATION.DOWNDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,0",to:this.HTMLpx(o)+","+this.HTMLpx(K+P-N)})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(N),x2:this.HTMLpx(o-N),y2:this.HTMLpx(K+P-N)})}break;case a.NOTATION.PHASORANGLE:o-=2*X;X=(K+P)/2;o+=X;if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o),height:this.HTMLpx(K+P)},path:"m "+this.HTMLpt(X+N/2,N/2)+" l "+this.HTMLpt(N/2,K+P-N)+" "+this.HTMLpt(o-N/2,K+P-N)+" e",coordsize:this.HTMLpt(o,K+P)})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M "+this.HTMLpx(X)+",1L 1,"+this.HTMLpx(K+P-N)+" L "+this.HTMLpx(o)+","+this.HTMLpx(K+P-N)});b.placeBox(S.parentNode,0,-P,true)}break;case a.NOTATION.MADRUWB:O.style.borderBottom=E;O.style.borderRight=E;if(!b.msieBorderWidthBug){U=u=N}break;case a.NOTATION.RADICAL:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o),height:this.HTMLpx(K+P)},path:"m "+this.HTMLpt(N/2,0.6*(K+P))+" l "+this.HTMLpt(X,K+P-N)+" "+this.HTMLpt(2*X,N/2)+" "+this.HTMLpt(o,N/2)+" e",coordsize:this.HTMLpt(o,K+P)});M=X}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M 1,"+this.HTMLpx(0.6*(K+P))+" L "+this.HTMLpx(X)+","+this.HTMLpx(K+P)+" L "+this.HTMLpx(2*X)+",1 L "+this.HTMLpx(o)+",1"});b.placeBox(S.parentNode,0,X/2-P,true);M=X;J=N}break;case a.NOTATION.LONGDIV:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(N/2),to:this.HTMLpx(o-N)+","+this.HTMLpx(N/2)});this.HTMLvmlElement(g,"arc",{style:{width:this.HTMLpx(2*X),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(-X),top:this.HTMLpx(N)},startangle:"10",endangle:"170"});M=X}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M "+this.HTMLpx(o)+",1 L 1,1 a"+this.HTMLpx(X)+","+this.HTMLpx((K+P)/2-N)+" 0 0,1 1,"+this.HTMLpx(K+P-2*N)});b.placeBox(S.parentNode,0,N-P,true);M=X;J=N}break}}O.style.width=b.Em(o-A-u);O.style.height=b.Em(K+P-s-U);b.placeBox(O,0,J-P,true);b.placeBox(v,M+X+N,0);this.HTMLhandleSpace(ac);this.HTMLhandleColor(ac);return ac},HTMLpx:function(g){return(g*b.em)},HTMLpt:function(g,h){return Math.floor(1000*g)+","+Math.floor(1000*h)},HTMLhandleColor:function(h){var i=document.getElementById("MathJax-frame-"+this.spanID);if(i){var g=this.getValues("mathbackground","background");if(this.style&&h.style.backgroundColor){g.mathbackground=h.style.backgroundColor;h.style.backgroundColor=""}if(g.background&&!this.mathbackground){g.mathbackground=g.background}if(g.mathbackground&&g.mathbackground!==a.COLOR.TRANSPARENT){i.style.backgroundColor=g.mathbackground}}else{this.SUPER(arguments).HTMLhandleColor.call(this,h)}},HTMLsvg:function(h,l,m,g,k,j){var i=document.createElementNS(c,"svg");if(i.style){i.style.width=b.Em(g);i.style.height=b.Em(l+m)}var n=b.createBox(h);n.appendChild(i);b.placeBox(n,0,-m,true);this.HTMLsvgElement(i,"g",{fill:"none",stroke:j,"stroke-width":k*b.em});return i},HTMLsvgElement:function(g,h,i){var j=document.createElementNS(c,h);j.isMathJax=true;if(i){for(var k in i){if(i.hasOwnProperty(k)){j.setAttributeNS(null,k,i[k].toString())}}}g.appendChild(j);return j},HTMLvml:function(i,l,m,h,k,j){var g=b.createFrame(i,l+m,0,h,0,"none");b.addBox(i,g);b.placeBox(g,0,-m,true);this.constructor.VMLcolor=j;this.constructor.VMLthickness=this.HTMLpx(k);return g},HTMLvmlElement:function(g,h,i){var j=b.addElement(g,e+":"+h,{isMathJax:true});j.style.position="absolute";j.style.left=j.style.top=0;MathJax.Hub.Insert(j,i);if(!i.fillcolor){j.fillcolor="none"}if(!i.strokecolor){j.strokecolor=this.constructor.VMLcolor}if(!i.strokeweight){j.strokeweight=this.constructor.VMLthickness}return j}});MathJax.Hub.Browser.Select({MSIE:function(g){if((document.documentMode||0)<9){a.menclose.Augment({HTMLpx:function(i,h){return(i*b.em+(h||0))+"px"}});b.useVML=true;if(!document.namespaces[e]){if(document.documentMode&&document.documentMode===8){document.namespaces.add(e,f,"#default#VML")}else{document.namespaces.add(e,f);document.createStyleSheet().addRule(e+"\\: *","{behavior: url(#default#VML)}")}}}}});MathJax.Hub.Startup.signal.Post("HTML-CSS menclose Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/menclose.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var c="http://www.w3.org/2000/svg";var f="urn:schemas-microsoft-com:vml";var e="mjxvml";a.menclose.Augment({toHTML:function(ac){var j=this.getValues("notation","thickness","padding","mathcolor","color");if(j.color&&!this.mathcolor){j.mathcolor=j.color}if(j.thickness==null){j.thickness=".075em"}if(j.padding==null){j.padding=".2em"}ac=this.HTMLcreateSpan(ac);var V=this.HTMLgetMu(ac),af=this.HTMLgetScale();var X=b.length2em(j.padding,V,1/b.em)*af;var N=b.length2em(j.thickness,V,1/b.em)*af;N=Math.max(1/b.em,N);var E=b.Em(N)+" solid";var z=b.createStack(ac);var v=b.createBox(z);this.HTMLmeasureChild(0,v);var K=v.bbox.h+X+N,P=v.bbox.d+X+N,o=v.bbox.w+2*(X+N);var O=b.createFrame(z,K+P,0,o,N,"none");O.id="MathJax-frame-"+this.spanID;b.addBox(z,O);z.insertBefore(O,v);var s=0,U=0,u=0,A=0,M=0,J=0;var S,g;var I,ad,Q;if(!j.mathcolor){j.mathcolor="currentColor"}else{ac.style.color=j.mathcolor}var k=MathJax.Hub.SplitList(j.notation),q={};for(var ab=0,Z=k.length;ab<Z;ab++){q[k[ab]]=true}if(q[a.NOTATION.UPDIAGONALARROW]){q[a.NOTATION.UPDIAGONALSTRIKE]=false}var G;for(var Y in q){if(!q.hasOwnProperty(Y)||!q[Y]){continue}switch(Y){case a.NOTATION.BOX:O.style.border=E;if(!b.msieBorderWidthBug){s=U=A=u=N}break;case a.NOTATION.ROUNDEDBOX:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}Q=Math.floor(1000*Math.min(o,K+P)-2*N);I=Math.floor(4000*(o-2*N)),ad=Math.floor(4000*(K+P-2*N));this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o-2*N),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(N,0.5),top:this.HTMLpx(N,0.5)},path:"m "+Q+",0 qx 0,"+Q+" l 0,"+(ad-Q)+" qy "+Q+","+ad+" l "+(I-Q)+","+ad+" qx "+I+","+(ad-Q)+" l "+I+","+Q+" qy "+(I-Q)+",0 x e",coordsize:I+","+ad})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"rect",{x:1,y:1,width:this.HTMLpx(o-N)-1,height:this.HTMLpx(K+P-N)-1,rx:this.HTMLpx(Math.min(K+P,o)/4)})}break;case a.NOTATION.CIRCLE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"oval",{style:{width:this.HTMLpx(o-2*N),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(N,0.5),top:this.HTMLpx(N,0.5)}})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"ellipse",{rx:this.HTMLpx(o/2-N),ry:this.HTMLpx((K+P)/2-N),cx:this.HTMLpx(o/2),cy:this.HTMLpx((K+P)/2)})}break;case a.NOTATION.LEFT:O.style.borderLeft=E;if(!b.msieBorderWidthBug){A=N}break;case a.NOTATION.ACTUARIAL:O.style.borderTop=E;if(!b.msieBorderWidthBug){s=N;O.bbox.w+=X-N}case a.NOTATION.RIGHT:O.style.borderRight=E;if(!b.msieBorderWidthBug){u=N}break;case a.NOTATION.VERTICALSTRIKE:G=b.createRule(z,K+P-N/2,0,N);b.addBox(z,G);b.placeBox(G,X+N+v.bbox.w/2,-P,true);break;case a.NOTATION.TOP:O.style.borderTop=E;if(!b.msieBorderWidthBug){s=N}break;case a.NOTATION.BOTTOM:O.style.borderBottom=E;if(!b.msieBorderWidthBug){U=N}break;case a.NOTATION.HORIZONTALSTRIKE:G=b.createRule(z,N,0,o-N/2);b.addBox(z,G);b.placeBox(G,0,(K+P)/2-P,true);break;case a.NOTATION.UPDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}G=this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(K+P-N),to:this.HTMLpx(o)+",0"})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(K+P-N),x2:this.HTMLpx(o-N),y2:this.HTMLpx(N)})}break;case a.NOTATION.UPDIAGONALARROW:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}G=this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(K+P-N),to:this.HTMLpx(o)+","+this.HTMLpx(N)});this.HTMLvmlElement(G,"stroke",{endarrow:"classic"})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}var aa=Math.sqrt(o*o+(K+P)*(K+P)),ae=1/aa*10*this.scale/b.em*N/0.075;I=o*ae;ad=(K+P)*ae;var F=o-N/2,C=N/2;if(C+ad-0.4*I<0){C=0.4*I-ad}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(K+P-N),x2:this.HTMLpx(F-0.7*I),y2:this.HTMLpx(C+0.7*ad)});this.HTMLsvgElement(S.firstChild,"polygon",{points:this.HTMLpx(F)+","+this.HTMLpx(C)+" "+this.HTMLpx(F-I-0.4*ad)+","+this.HTMLpx(C+ad-0.4*I)+" "+this.HTMLpx(F-0.7*I)+","+this.HTMLpx(C+0.7*ad)+" "+this.HTMLpx(F-I+0.4*ad)+","+this.HTMLpx(C+ad+0.4*I)+" "+this.HTMLpx(F)+","+this.HTMLpx(C),fill:j.mathcolor,stroke:"none"})}break;case a.NOTATION.DOWNDIAGONALSTRIKE:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,0",to:this.HTMLpx(o)+","+this.HTMLpx(K+P-N)})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"line",{x1:1,y1:this.HTMLpx(N),x2:this.HTMLpx(o-N),y2:this.HTMLpx(K+P-N)})}break;case a.NOTATION.PHASORANGLE:o-=2*X;X=(K+P)/2;o+=X;if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o),height:this.HTMLpx(K+P)},path:"m "+this.HTMLpt(X+N/2,N/2)+" l "+this.HTMLpt(N/2,K+P-N)+" "+this.HTMLpt(o-N/2,K+P-N)+" e",coordsize:this.HTMLpt(o,K+P)})}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M "+this.HTMLpx(X)+",1L 1,"+this.HTMLpx(K+P-N)+" L "+this.HTMLpx(o)+","+this.HTMLpx(K+P-N)});b.placeBox(S.parentNode,0,-P,true)}break;case a.NOTATION.MADRUWB:O.style.borderBottom=E;O.style.borderRight=E;if(!b.msieBorderWidthBug){U=u=N}break;case a.NOTATION.RADICAL:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"shape",{style:{width:this.HTMLpx(o),height:this.HTMLpx(K+P)},path:"m "+this.HTMLpt(N/2,0.6*(K+P))+" l "+this.HTMLpt(X,K+P-N)+" "+this.HTMLpt(2*X,N/2)+" "+this.HTMLpt(o,N/2)+" e",coordsize:this.HTMLpt(o,K+P)});M=X}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M 1,"+this.HTMLpx(0.6*(K+P))+" L "+this.HTMLpx(X)+","+this.HTMLpx(K+P)+" L "+this.HTMLpx(2*X)+",1 L "+this.HTMLpx(o)+",1"});b.placeBox(S.parentNode,0,X/2-P,true);M=X;J=N}break;case a.NOTATION.LONGDIV:if(b.useVML){if(!g){g=this.HTMLvml(z,K,P,o,N,j.mathcolor)}this.HTMLvmlElement(g,"line",{from:"0,"+this.HTMLpx(N/2),to:this.HTMLpx(o-N)+","+this.HTMLpx(N/2)});this.HTMLvmlElement(g,"arc",{style:{width:this.HTMLpx(2*X),height:this.HTMLpx(K+P-2*N),left:this.HTMLpx(-X),top:this.HTMLpx(N)},startangle:"10",endangle:"170"});M=X}else{if(!S){S=this.HTMLsvg(z,K,P,o,N,j.mathcolor)}this.HTMLsvgElement(S.firstChild,"path",{d:"M "+this.HTMLpx(o)+",1 L 1,1 a"+this.HTMLpx(X)+","+this.HTMLpx((K+P)/2-N)+" 0 0,1 1,"+this.HTMLpx(K+P-2*N)});b.placeBox(S.parentNode,0,N-P,true);M=X;J=N}break}}O.style.width=b.Em(o-A-u);O.style.height=b.Em(K+P-s-U);b.placeBox(O,0,J-P,true);b.placeBox(v,M+X+N,0);this.HTMLhandleSpace(ac);this.HTMLhandleColor(ac);return ac},HTMLpx:function(g){return(g*b.em)},HTMLpt:function(g,h){return Math.floor(1000*g)+","+Math.floor(1000*h)},HTMLhandleColor:function(h){var i=document.getElementById("MathJax-frame-"+this.spanID);if(i){var g=this.getValues("mathbackground","background");if(this.style&&h.style.backgroundColor){g.mathbackground=h.style.backgroundColor;h.style.backgroundColor=""}if(g.background&&!this.mathbackground){g.mathbackground=g.background}if(g.mathbackground&&g.mathbackground!==a.COLOR.TRANSPARENT){i.style.backgroundColor=g.mathbackground}}else{this.SUPER(arguments).HTMLhandleColor.call(this,h)}},HTMLsvg:function(h,l,m,g,k,j){var i=document.createElementNS(c,"svg");if(i.style){i.style.width=b.Em(g);i.style.height=b.Em(l+m)}var n=b.createBox(h);n.appendChild(i);b.placeBox(n,0,-m,true);this.HTMLsvgElement(i,"g",{fill:"none",stroke:j,"stroke-width":k*b.em});return i},HTMLsvgElement:function(g,h,i){var j=document.createElementNS(c,h);j.isMathJax=true;if(i){for(var k in i){if(i.hasOwnProperty(k)){j.setAttributeNS(null,k,i[k].toString())}}}g.appendChild(j);return j},HTMLvml:function(i,l,m,h,k,j){var g=b.createFrame(i,l+m,0,h,0,"none");b.addBox(i,g);b.placeBox(g,0,-m,true);this.constructor.VMLcolor=j;this.constructor.VMLthickness=this.HTMLpx(k);return g},HTMLvmlElement:function(g,h,i){var j=b.addElement(g,e+":"+h,{isMathJax:true});j.style.position="absolute";j.style.left=j.style.top=0;MathJax.Hub.Insert(j,i);if(!i.fillcolor){j.fillcolor="none"}if(!i.strokecolor){j.strokecolor=this.constructor.VMLcolor}if(!i.strokeweight){j.strokeweight=this.constructor.VMLthickness}return j}});MathJax.Hub.Browser.Select({MSIE:function(g){if((document.documentMode||0)<9){a.menclose.Augment({HTMLpx:function(i,h){return(i*b.em+(h||0))+"px"}});b.useVML=true;if(!document.namespaces[e]){if(document.documentMode&&document.documentMode===8){document.namespaces.add(e,f,"#default#VML")}else{document.namespaces.add(e,f);document.createStyleSheet().addRule(e+"\\: *","{behavior: url(#default#VML)}")}}}}});MathJax.Hub.Startup.signal.Post("HTML-CSS menclose Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/menclose.js")});
diff --git a/jax/output/HTML-CSS/autoload/mglyph.js b/jax/output/HTML-CSS/autoload/mglyph.js
index 365af74b22..8fa1339104 100644
--- a/jax/output/HTML-CSS/autoload/mglyph.js
+++ b/jax/output/HTML-CSS/autoload/mglyph.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/autoload/mglyph.js
+ *  /MathJax-v2/jax/output/HTML-CSS/autoload/mglyph.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"],d=MathJax.Localization;a.mglyph.Augment({toHTML:function(k,g){var j=k,l=this.getValues("src","width","height","valign","alt"),f;k=this.HTMLcreateSpan(k);if(l.src===""){var i=this.Get("index");if(i){g=this.HTMLgetVariant();var e=g.defaultFont;if(e){e.noStyleChar=true;e.testString=String.fromCharCode(i)+"ABCabc";if(b.Font.testFont(e)){this.HTMLhandleVariant(k,g,String.fromCharCode(i))}else{if(l.alt===""){l.alt=d._(["MathML","BadMglyphFont"],"Bad font: %1",e.family)}f=a.Error(l.alt,{mathsize:"75%"});this.Append(f);f.toHTML(k);this.data.pop();k.bbox=f.HTMLspanElement().bbox}}}}else{if(!this.img){this.img=a.mglyph.GLYPH[l.src]}if(!this.img){this.img=a.mglyph.GLYPH[l.src]={img:new Image(),status:"pending"};var h=this.img.img;h.onload=MathJax.Callback(["HTMLimgLoaded",this]);h.onerror=MathJax.Callback(["HTMLimgError",this]);h.src=l.src;MathJax.Hub.RestartAfter(h.onload)}if(this.img.status!=="OK"){f=a.Error(d._(["MathML","BadMglyph"],"Bad mglyph: %1",l.src),{mathsize:"75%"});this.Append(f);f.toHTML(k);this.data.pop();k.bbox=f.HTMLspanElement().bbox}else{var m=this.HTMLgetMu(k);h=b.addElement(k,"img",{isMathJax:true,src:l.src,alt:l.alt,title:l.alt});if(l.width){h.style.width=b.Em(b.length2em(l.width,m,this.img.img.width/b.em))}if(l.height){h.style.height=b.Em(b.length2em(l.height,m,this.img.img.height/b.em))}k.bbox.w=k.bbox.rw=h.offsetWidth/b.em;k.bbox.h=h.offsetHeight/b.em;if(l.valign){k.bbox.d=-b.length2em(l.valign,m,this.img.img.height/b.em);h.style.verticalAlign=b.Em(-k.bbox.d);k.bbox.h-=k.bbox.d}}}if(!j.bbox){j.bbox={w:k.bbox.w,h:k.bbox.h,d:k.bbox.d,rw:k.bbox.rw,lw:k.bbox.lw}}else{if(k.bbox){j.bbox.w+=k.bbox.w;if(j.bbox.w>j.bbox.rw){j.bbox.rw=j.bbox.w}if(k.bbox.h>j.bbox.h){j.bbox.h=k.bbox.h}if(k.bbox.d>j.bbox.d){j.bbox.d=k.bbox.d}}}this.HTMLhandleSpace(k);this.HTMLhandleColor(k);return k},HTMLimgLoaded:function(f,e){if(typeof(f)==="string"){e=f}this.img.status=(e||"OK")},HTMLimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("HTML-CSS mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"],d=MathJax.Localization;a.mglyph.Augment({toHTML:function(l,h){var k=l,m=this.getValues("src","width","height","valign","alt"),g;l=this.HTMLcreateSpan(l);if(m.src===""){var j=this.Get("index");if(j){h=this.HTMLgetVariant();var e=h.defaultFont;if(e){e.noStyleChar=true;e.testString=String.fromCharCode(j)+"ABCabc";if(b.Font.testFont(e)){this.HTMLhandleVariant(l,h,String.fromCharCode(j))}else{if(m.alt===""){m.alt=d._(["MathML","BadMglyphFont"],"Bad font: %1",e.family)}g=a.Error(m.alt,{mathsize:"75%"});this.Append(g);g.toHTML(l);this.data.pop();l.bbox=g.HTMLspanElement().bbox}}}}else{if(!this.img){this.img=a.mglyph.GLYPH[m.src]}if(!this.img){this.img=a.mglyph.GLYPH[m.src]={img:new Image(),status:"pending"};var i=this.img.img;i.onload=MathJax.Callback(["HTMLimgLoaded",this]);i.onerror=MathJax.Callback(["HTMLimgError",this]);i.src=m.src;MathJax.Hub.RestartAfter(i.onload)}if(this.img.status!=="OK"){g=a.Error(d._(["MathML","BadMglyph"],"Bad mglyph: %1",m.src),{mathsize:"75%"});this.Append(g);g.toHTML(l);this.data.pop();l.bbox=g.HTMLspanElement().bbox}else{var n=this.HTMLgetMu(l);var f=this.HTMLgetScale();i=b.addElement(l,"img",{isMathJax:true,src:m.src,alt:m.alt,title:m.alt});if(m.width){i.style.width=b.Em(b.length2em(m.width,n,this.img.img.width/b.em)*f)}if(m.height){i.style.height=b.Em(b.length2em(m.height,n,this.img.img.height/b.em)*f)}l.bbox.w=l.bbox.rw=i.offsetWidth/b.em;l.bbox.h=i.offsetHeight/b.em;if(m.valign){l.bbox.d=-b.length2em(m.valign,n,this.img.img.height/b.em)*f;i.style.verticalAlign=b.Em(-l.bbox.d);l.bbox.h-=l.bbox.d}}}if(!k.bbox){k.bbox={w:l.bbox.w,h:l.bbox.h,d:l.bbox.d,rw:l.bbox.rw,lw:l.bbox.lw}}else{if(l.bbox){k.bbox.w+=l.bbox.w;if(k.bbox.w>k.bbox.rw){k.bbox.rw=k.bbox.w}if(l.bbox.h>k.bbox.h){k.bbox.h=l.bbox.h}if(l.bbox.d>k.bbox.d){k.bbox.d=l.bbox.d}}}this.HTMLhandleSpace(l);this.HTMLhandleColor(l);return l},HTMLimgLoaded:function(f,e){if(typeof(f)==="string"){e=f}this.img.status=(e||"OK")},HTMLimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("HTML-CSS mglyph Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mglyph.js")});
diff --git a/jax/output/HTML-CSS/autoload/mmultiscripts.js b/jax/output/HTML-CSS/autoload/mmultiscripts.js
index d14722d4d9..aeaa2aeb44 100644
--- a/jax/output/HTML-CSS/autoload/mmultiscripts.js
+++ b/jax/output/HTML-CSS/autoload/mmultiscripts.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/autoload/mmultiscripts.js
+ *  /MathJax-v2/jax/output/HTML-CSS/autoload/mmultiscripts.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mmultiscripts.Augment({toHTML:function(L,J,E){L=this.HTMLcreateSpan(L);var R=this.HTMLgetScale();var n=b.createStack(L),g;var l=b.createBox(n);if(this.data[this.base]){var m=this.data[this.base].toHTML(l);if(E!=null){this.data[this.base].HTMLstretchV(l,J,E)}else{if(J!=null){this.data[this.base].HTMLstretchH(l,J)}}b.Measured(m,l)}else{l.bbox=this.HTMLzeroBBox()}var P=b.TeX.x_height*R,C=b.TeX.scriptspace*R*0.75;var B=this.HTMLgetScripts(n,C);var o=B[0],f=B[1],y=B[2],k=B[3];var j=R;for(var M=1;M<this.data.length;M++){if(this.data[M]&&this.data[M].spanID){j=this.data[M].HTMLgetScale();break}}var G=b.TeX.sup_drop*j,F=b.TeX.sub_drop*j;var z=l.bbox.h-G,x=l.bbox.d+F,Q=0,I;if(l.bbox.ic){Q=l.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(b.isChar(this.data[this.base].data.join(""))&&l.bbox.scale===1&&!this.data[this.base].Get("largeop")){z=x=0}}var K=this.getValues("subscriptshift","superscriptshift"),H=this.HTMLgetMu(L);K.subscriptshift=(K.subscriptshift===""?0:b.length2em(K.subscriptshift,H));K.superscriptshift=(K.superscriptshift===""?0:b.length2em(K.superscriptshift,H));var w=0;if(y){w=y.bbox.w+Q}else{if(k){w=k.bbox.w-Q}}if(w<0){w=0}b.placeBox(l,w,0);if(!f&&!k){x=Math.max(x,b.TeX.sub1*R,K.subscriptshift);if(o){x=Math.max(x,o.bbox.h-(4/5)*P)}if(y){x=Math.max(x,y.bbox.h-(4/5)*P)}if(o){b.placeBox(o,w+l.bbox.w+C-Q,-x)}if(y){b.placeBox(y,0,-x)}}else{if(!o&&!y){g=this.getValues("displaystyle","texprimestyle");I=b.TeX[(g.displaystyle?"sup1":(g.texprimestyle?"sup3":"sup2"))];z=Math.max(z,I*R,K.superscriptshift);if(f){z=Math.max(z,f.bbox.d+(1/4)*P)}if(k){z=Math.max(z,k.bbox.d+(1/4)*P)}if(f){b.placeBox(f,w+l.bbox.w+C,z)}if(k){b.placeBox(k,0,z)}}else{x=Math.max(x,b.TeX.sub2*R);var A=b.TeX.rule_thickness*R;var N=(o||y).bbox.h,O=(f||k).bbox.d;if(y){N=Math.max(N,y.bbox.h)}if(k){O=Math.max(O,k.bbox.d)}if((z-O)-(N-x)<3*A){x=3*A-z+O+N;G=(4/5)*P-(z-O);if(G>0){z+=G;x-=G}}z=Math.max(z,K.superscriptshift);x=Math.max(x,K.subscriptshift);if(f){b.placeBox(f,w+l.bbox.w+C,z)}if(k){b.placeBox(k,w+Q-k.bbox.w,z)}if(o){b.placeBox(o,w+l.bbox.w+C-Q,-x)}if(y){b.placeBox(y,w-y.bbox.w,-x)}}}this.HTMLhandleSpace(L);this.HTMLhandleColor(L);var e=L.bbox;e.dx=w;e.s=C;e.u=z;e.v=x;e.delta=Q;e.px=w+l.bbox.w;return L},HTMLgetScripts:function(r,u){var p,d,e=[];var o=1,h=this.data.length,g=0;for(var l=0;l<4;l+=2){while(o<h&&(this.data[o]||{}).type!=="mprescripts"){var q=[null,null,null,null];for(var n=l;n<l+2;n++){if(this.data[o]&&this.data[o].type!=="none"&&this.data[o].type!=="mprescripts"){if(!e[n]){e[n]=b.createBox(r);e[n].bbox=this.HTMLemptyBBox({});if(g){b.createBlank(e[n],g);e[n].bbox.w=e[n].bbox.rw=g}}q[n]=this.data[o].toHTML(e[n])}else{q[n]=MathJax.HTML.Element("span",{bbox:this.HTMLemptyBBox({})})}if((this.data[o]||{}).type!=="mprescripts"){o++}}var f=(l===2);d=e[l];p=e[l+1];if(d&&p){var t=q[l+1].bbox.w-q[l].bbox.w;if(t>0){if(f){this.HTMLmoveColor(q[l],t,1);e[l].w+=t}else{b.createBlank(d,t)}}else{if(t<0){if(f){this.HTMLmoveColor(q[l+1],-t,-1);e[l+1].w+=-t}else{b.createBlank(p,-t)}}}this.HTMLcombineBBoxes(q[l],d.bbox);this.HTMLcombineBBoxes(q[l+1],p.bbox);if(t>0){d.bbox.w=p.bbox.w;d.bbox.rw=Math.max(d.bbox.w,d.bbox.rw)}else{if(t<0){p.bbox.w=d.bbox.w;p.bbox.rw=Math.max(p.bbox.w,p.bbox.rw)}}}else{if(d){this.HTMLcombineBBoxes(q[l],d.bbox)}if(p){this.HTMLcombineBBoxes(q[l+1],p.bbox)}}if(d){g=d.bbox.w}else{if(p){g=p.bbox.w}}}o++;g=0}for(n=0;n<4;n++){if(e[n]){e[n].bbox.w+=u;e[n].bbox.rw=Math.max(e[n].bbox.w,e[n].bbox.rw);e[n].bbox.name=(["sub","sup","presub","presup"])[n];this.HTMLcleanBBox(e[n].bbox)}}return e},HTMLmoveColor:function(h,f,e){var d=f/(h.scale||1);h.style.paddingLeft=b.Em(d);var g=h.previousSibling;if(g&&(g.id||"").match(/^MathJax-Color-/)){g.style.marginLeft=b.Em(d+parseFloat(g.style.marginLeft));g.style.marginRight=b.Em(e*(d-parseFloat(g.style.marginRight)))}},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mmultiscripts Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mmultiscripts.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mmultiscripts.Augment({toHTML:function(L,J,E){L=this.HTMLcreateSpan(L);var R=this.HTMLgetScale();var n=b.createStack(L),g;var l=b.createBox(n);if(this.data[this.base]){var m=this.data[this.base].toHTML(l);if(E!=null){this.data[this.base].HTMLstretchV(l,J,E)}else{if(J!=null){this.data[this.base].HTMLstretchH(l,J)}}b.Measured(m,l)}else{l.bbox=this.HTMLzeroBBox()}var P=b.TeX.x_height*R,C=b.TeX.scriptspace*R*0.75;var B=this.HTMLgetScripts(n,C);var o=B[0],f=B[1],y=B[2],k=B[3];var j=R;for(var M=1;M<this.data.length;M++){if(this.data[M]&&this.data[M].spanID){j=this.data[M].HTMLgetScale();break}}var G=b.TeX.sup_drop*j,F=b.TeX.sub_drop*j;var z=l.bbox.h-G,x=l.bbox.d+F,Q=0,I;if(l.bbox.ic){Q=l.bbox.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(b.isChar(this.data[this.base].data.join(""))&&l.bbox.scale===1&&!this.data[this.base].Get("largeop")){z=x=0}}var K=this.getValues("subscriptshift","superscriptshift"),H=this.HTMLgetMu(L);K.subscriptshift=(K.subscriptshift===""?0:b.length2em(K.subscriptshift,H));K.superscriptshift=(K.superscriptshift===""?0:b.length2em(K.superscriptshift,H));var w=0;if(y){w=y.bbox.w+Q}else{if(k){w=k.bbox.w-Q}}if(w<0){w=0}b.placeBox(l,w,0);if(!f&&!k){x=Math.max(x,b.TeX.sub1*R,K.subscriptshift);if(o){x=Math.max(x,o.bbox.h-(4/5)*P)}if(y){x=Math.max(x,y.bbox.h-(4/5)*P)}if(o){b.placeBox(o,w+l.bbox.w+C-Q,-x)}if(y){b.placeBox(y,0,-x)}}else{if(!o&&!y){g=this.getValues("displaystyle","texprimestyle");I=b.TeX[(g.displaystyle?"sup1":(g.texprimestyle?"sup3":"sup2"))];z=Math.max(z,I*R,K.superscriptshift);if(f){z=Math.max(z,f.bbox.d+(1/4)*P)}if(k){z=Math.max(z,k.bbox.d+(1/4)*P)}if(f){b.placeBox(f,w+l.bbox.w+C,z)}if(k){b.placeBox(k,0,z)}}else{x=Math.max(x,b.TeX.sub2*R);var A=b.TeX.rule_thickness*R;var N=(o||y).bbox.h,O=(f||k).bbox.d;if(y){N=Math.max(N,y.bbox.h)}if(k){O=Math.max(O,k.bbox.d)}if((z-O)-(N-x)<3*A){x=3*A-z+O+N;G=(4/5)*P-(z-O);if(G>0){z+=G;x-=G}}z=Math.max(z,K.superscriptshift);x=Math.max(x,K.subscriptshift);if(f){b.placeBox(f,w+l.bbox.w+C,z)}if(k){b.placeBox(k,w+Q-k.bbox.w,z)}if(o){b.placeBox(o,w+l.bbox.w+C-Q,-x)}if(y){b.placeBox(y,w-y.bbox.w,-x)}}}this.HTMLhandleSpace(L);this.HTMLhandleColor(L);var e=L.bbox;e.dx=w;e.s=C;e.u=z;e.v=x;e.delta=Q;e.px=w+l.bbox.w;return L},HTMLgetScripts:function(r,u){var p,d,e=[];var o=1,h=this.data.length,g=0;for(var l=0;l<4;l+=2){while(o<h&&(this.data[o]||{}).type!=="mprescripts"){var q=[null,null,null,null];for(var n=l;n<l+2;n++){if(this.data[o]&&this.data[o].type!=="none"&&this.data[o].type!=="mprescripts"){if(!e[n]){e[n]=b.createBox(r);e[n].bbox=this.HTMLemptyBBox({});if(g){b.createBlank(e[n],g);e[n].bbox.w=e[n].bbox.rw=g}}q[n]=this.data[o].toHTML(e[n])}else{q[n]=MathJax.HTML.Element("span",{bbox:this.HTMLemptyBBox({})})}if((this.data[o]||{}).type!=="mprescripts"){o++}}var f=(l===2);d=e[l];p=e[l+1];if(d&&p){var t=q[l+1].bbox.w-q[l].bbox.w;if(t>0){if(f){this.HTMLmoveColor(q[l],t,1);e[l].w+=t}else{b.createBlank(d,t)}}else{if(t<0){if(f){this.HTMLmoveColor(q[l+1],-t,-1);e[l+1].w+=-t}else{b.createBlank(p,-t)}}}this.HTMLcombineBBoxes(q[l],d.bbox);this.HTMLcombineBBoxes(q[l+1],p.bbox);if(t>0){d.bbox.w=p.bbox.w;d.bbox.rw=Math.max(d.bbox.w,d.bbox.rw)}else{if(t<0){p.bbox.w=d.bbox.w;p.bbox.rw=Math.max(p.bbox.w,p.bbox.rw)}}}else{if(d){this.HTMLcombineBBoxes(q[l],d.bbox)}if(p){this.HTMLcombineBBoxes(q[l+1],p.bbox)}}if(d){g=d.bbox.w}else{if(p){g=p.bbox.w}}}o++;g=0}for(n=0;n<4;n++){if(e[n]){e[n].bbox.w+=u;e[n].bbox.rw=Math.max(e[n].bbox.w,e[n].bbox.rw);e[n].bbox.name=(["sub","sup","presub","presup"])[n];this.HTMLcleanBBox(e[n].bbox)}}return e},HTMLmoveColor:function(h,f,e){var d=f/(h.scale||1);h.style.paddingLeft=b.Em(d);var g=h.previousSibling;if(g&&(g.id||"").match(/^MathJax-Color-/)){g.style.marginLeft=b.Em(d+parseFloat(g.style.marginLeft));g.style.marginRight=b.Em(e*(d-parseFloat(g.style.marginRight)))}},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mmultiscripts Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mmultiscripts.js")});
diff --git a/jax/output/HTML-CSS/autoload/ms.js b/jax/output/HTML-CSS/autoload/ms.js
index a50c0ab304..c62c83c07a 100644
--- a/jax/output/HTML-CSS/autoload/ms.js
+++ b/jax/output/HTML-CSS/autoload/ms.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/autoload/ms.js
+ *  /MathJax-v2/jax/output/HTML-CSS/autoload/ms.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.ms.Augment({toHTML:function(e){e=this.HTMLhandleSize(this.HTMLcreateSpan(e));var d=this.getValues("lquote","rquote","mathvariant");if(!this.hasValue("lquote")||d.lquote==='"'){d.lquote="\u201C"}if(!this.hasValue("rquote")||d.rquote==='"'){d.rquote="\u201D"}if(d.lquote==="\u201C"&&d.mathvariant==="monospace"){d.lquote='"'}if(d.rquote==="\u201D"&&d.mathvariant==="monospace"){d.rquote='"'}var f=d.lquote+this.data.join("")+d.rquote;this.HTMLhandleVariant(e,this.HTMLgetVariant(),f);this.HTMLhandleSpace(e);this.HTMLhandleColor(e);this.HTMLhandleDir(e);return e}});MathJax.Hub.Startup.signal.Post("HTML-CSS ms Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/ms.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.ms.Augment({toHTML:function(e){e=this.HTMLhandleSize(this.HTMLcreateSpan(e));var d=this.getValues("lquote","rquote","mathvariant");if(!this.hasValue("lquote")||d.lquote==='"'){d.lquote="\u201C"}if(!this.hasValue("rquote")||d.rquote==='"'){d.rquote="\u201D"}if(d.lquote==="\u201C"&&d.mathvariant==="monospace"){d.lquote='"'}if(d.rquote==="\u201D"&&d.mathvariant==="monospace"){d.rquote='"'}var f=d.lquote+this.data.join("")+d.rquote;this.HTMLhandleVariant(e,this.HTMLgetVariant(),f);this.HTMLhandleSpace(e);this.HTMLhandleColor(e);this.HTMLhandleDir(e);return e}});MathJax.Hub.Startup.signal.Post("HTML-CSS ms Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/ms.js")});
diff --git a/jax/output/HTML-CSS/autoload/mtable.js b/jax/output/HTML-CSS/autoload/mtable.js
index b1b2d37825..53329f4de0 100644
--- a/jax/output/HTML-CSS/autoload/mtable.js
+++ b/jax/output/HTML-CSS/autoload/mtable.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/autoload/mtable.js
+ *  /MathJax-v2/jax/output/HTML-CSS/autoload/mtable.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];a.mtable.Augment({toHTML:function(r){r=this.HTMLcreateSpan(r);if(this.data.length===0){return r}var I=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");var aM=I.width.match(/%$/);var ay=b.createStack(r);var aJ=this.HTMLgetScale(),aB=this.HTMLgetMu(r),aC=-1;var aq=[],au=[],aj=[],aw=[],av=[],ae,ad,ap=-1,ac,ao,X,aH,Q,aE,aR=[],aW;var G=b.FONTDATA.lineH*aJ*I.useHeight,N=b.FONTDATA.lineD*aJ*I.useHeight;for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);aw[ae]=[];aq[ae]=G;au[ae]=N;for(ad=X,ao=aH.data.length+X;ad<ao;ad++){if(aj[ad]==null){if(ad>ap){ap=ad}av[ad]=b.createStack(b.createBox(ay));aj[ad]=-b.BIGDIMEN}aw[ae][ad]=b.createBox(av[ad]);aR.push(aH.data[ad-X].toHTML(aw[ae][ad]))}}b.MeasureSpans(aR);for(ae=0,ac=this.data.length;ae<ac;ae++){aH=this.data[ae];X=(aH.type==="mlabeledtr"?aC:0);for(ad=X,ao=aH.data.length+X;ad<ao;ad++){Q=aH.data[ad-X];if(Q.isMultiline){aw[ae][ad].style.width="100%"}if(Q.isEmbellished()){aE=Q.CoreMO();var aV=aE.Get("minsize",true);if(aV){var aO=aE.HTMLspanElement().bbox;if(aE.HTMLcanStretch("Vertical")){aW=aO.h+aO.d;if(aW){aV=b.length2em(aV,aB,aW);if(aV*aO.h/aW>aq[ae]){aq[ae]=aV*aO.h/aW}if(aV*aO.d/aW>au[ae]){au[ae]=aV*aO.d/aW}}}else{if(aE.HTMLcanStretch("Horizontal")){aV=b.length2em(aV,aB,aO.w);if(aV>aj[ad]){aj[ad]=aV}}}}}if(aw[ae][ad].bbox.h>aq[ae]){aq[ae]=aw[ae][ad].bbox.h}if(aw[ae][ad].bbox.d>au[ae]){au[ae]=aw[ae][ad].bbox.d}if(aw[ae][ad].bbox.w>aj[ad]){aj[ad]=aw[ae][ad].bbox.w}}}var aG=MathJax.Hub.SplitList;var aA=aG(I.columnspacing),aT=aG(I.rowspacing),e=aG(I.columnalign),B=aG(I.rowalign),d=aG(I.columnlines),w=aG(I.rowlines),aP=aG(I.columnwidth),U=[];for(ae=0,ac=aA.length;ae<ac;ae++){aA[ae]=b.length2em(aA[ae],aB)}for(ae=0,ac=aT.length;ae<ac;ae++){aT[ae]=b.length2em(aT[ae],aB)}while(aA.length<ap){aA.push(aA[aA.length-1])}while(e.length<=ap){e.push(e[e.length-1])}while(d.length<ap){d.push(d[d.length-1])}while(aP.length<=ap){aP.push(aP[aP.length-1])}while(aT.length<aw.length){aT.push(aT[aT.length-1])}while(B.length<=aw.length){B.push(B[B.length-1])}while(w.length<aw.length){w.push(w[w.length-1])}if(av[aC]){e[aC]=(I.side.substr(0,1)==="l"?"left":"right");aA[aC]=-aj[aC]}for(ae=0,ac=aw.length;ae<ac;ae++){aH=this.data[ae];U[ae]=[];if(aH.rowalign){B[ae]=aH.rowalign}if(aH.columnalign){U[ae]=aG(aH.columnalign);while(U[ae].length<=ap){U[ae].push(U[ae][U[ae].length-1])}}}if(I.equalrows){var aF=Math.max.apply(Math,aq),V=Math.max.apply(Math,au);for(ae=0,ac=aw.length;ae<ac;ae++){X=((aF+V)-(aq[ae]+au[ae]))/2;aq[ae]+=X;au[ae]+=X}}aW=aq[0]+au[aw.length-1];for(ae=0,ac=aw.length-1;ae<ac;ae++){aW+=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}var aL=0,aK=0,aZ,g=aW;if(I.frame!=="none"||(I.columnlines+I.rowlines).match(/solid|dashed/)){var v=aG(I.framespacing);if(v.length!=2){v=aG(this.defaults.framespacing)}aL=b.length2em(v[0],aB);aK=b.length2em(v[1],aB);g=aW+2*aK}var ai,aY,aa="";if(typeof(I.align)!=="string"){I.align=String(I.align)}if(I.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aa=RegExp.$3||"";I.align=RegExp.$1}else{I.align=this.defaults.align}if(aa!==""){aa=parseInt(aa);if(aa<0){aa=aw.length+1+aa}if(aa<1){aa=1}else{if(aa>aw.length){aa=aw.length}}ai=0;aY=-(aW+aK)+aq[0];for(ae=0,ac=aa-1;ae<ac;ae++){var L=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);ai+=L;aY+=L}}else{ai=({top:-(aq[0]+aK),bottom:aW+aK-aq[0],center:aW/2-aq[0],baseline:aW/2-aq[0],axis:aW/2+b.TeX.axis_height*aJ-aq[0]})[I.align];aY=({top:-(aW+2*aK),bottom:0,center:-(aW/2+aK),baseline:-(aW/2+aK),axis:b.TeX.axis_height*aJ-aW/2-aK})[I.align]}var ab,af=0,z=0,K=0,Z=0,ag=0,am=[],at=[],R=1;if(I.equalcolumns&&I.width!=="auto"){if(aM){ab=(100/(ap+1)).toFixed(2).replace(/\.?0+$/,"")+"%";for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aP[ae]=ab}ab=0;af=1;ag=ap+1;for(ae=0,ac=Math.min(ap+1,aA.length);ae<ac;ae++){ab+=aA[ae]}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}ab/=ap;for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){aj[ae]=ab}}}else{for(ae=0,ac=Math.min(ap+1,aP.length);ae<ac;ae++){if(aP[ae]==="auto"){z+=aj[ae]}else{if(aP[ae]==="fit"){at[ag]=ae;ag++;z+=aj[ae]}else{if(aP[ae].match(/%$/)){am[Z]=ae;Z++;K+=aj[ae];af+=b.length2em(aP[ae],aB,1)}else{aj[ae]=b.length2em(aP[ae],aB);z+=aj[ae]}}}}if(aM){ab=0;for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab+=aA[ae]}if(af>0.98){R=0.98/af;af=0.98}}else{if(I.width==="auto"){if(af>0.98){R=K/(z+K);ab=z+K}else{ab=z/(1-af)}}else{ab=b.length2em(I.width,aB);for(ae=0,ac=Math.min(ap,aA.length);ae<ac;ae++){ab-=aA[ae]}}for(ae=0,ac=am.length;ae<ac;ae++){aj[am[ae]]=b.length2em(aP[am[ae]],aB,ab*R);z+=aj[am[ae]]}if(Math.abs(ab-z)>0.01){if(ag&&ab>z){ab=(ab-z)/ag;for(ae=0,ac=at.length;ae<ac;ae++){aj[at[ae]]+=ab}}else{ab=ab/z;for(ad=0;ad<=ap;ad++){aj[ad]*=ab}}}if(I.equalcolumns){var O=Math.max.apply(Math,aj);for(ad=0;ad<=ap;ad++){aj[ad]=O}}}}var S=ai,o,q,aU;X=(av[aC]?aC:0);for(ad=X;ad<=ap;ad++){for(ae=0,ac=aw.length;ae<ac;ae++){if(aw[ae][ad]){X=(this.data[ae].type==="mlabeledtr"?aC:0);Q=this.data[ae].data[ad-X];if(Q.HTMLcanStretch("Horizontal")){aw[ae][ad].bbox=Q.HTMLstretchH(av[ad],aj[ad]).bbox}else{if(Q.HTMLcanStretch("Vertical")){aE=Q.CoreMO();var aN=aE.symmetric;aE.symmetric=false;aw[ae][ad].bbox=Q.HTMLstretchV(av[ad],aq[ae],au[ae]).bbox;aw[ae][ad].HH=null;if(aw[ae][ad].bbox.h>aq[ae]){aw[ae][ad].bbox.H=aw[ae][ad].bbox.h;aw[ae][ad].bbox.h=aq[ae]}if(aw[ae][ad].bbox.d>au[ae]){aw[ae][ad].bbox.D=aw[ae][ad].bbox.d;aw[ae][ad].bbox.d=au[ae]}aE.symmetric=aN}}aU=Q.rowalign||this.data[ae].rowalign||B[ae];o=({top:aq[ae]-aw[ae][ad].bbox.h,bottom:aw[ae][ad].bbox.d-au[ae],center:((aq[ae]-au[ae])-(aw[ae][ad].bbox.h-aw[ae][ad].bbox.d))/2,baseline:0,axis:0})[aU]||0;aU=(Q.columnalign||U[ae][ad]||e[ad]);b.alignBox(aw[ae][ad],aU,S+o)}if(ae<aw.length-1){S-=Math.max(0,au[ae]+aq[ae+1]+aT[ae])}}S=ai}if(aM){var E=b.createBox(ay);E.style.left=E.style.top=0;E.style.right=b.Em(ab+2*aL);E.style.display="inline-block";E.style.height="0px";if(b.msieRelativeWidthBug){E=b.createBox(E);E.style.position="relative";E.style.height="1em";E.style.width="100%";E.bbox=ay.bbox}var aS=0,a0=aL,k,l;if(ag){k=100*(1-af)/ag,l=z/ag}else{k=100*(1-af)/(ap+1);l=z/(ap+1)}for(ad=0;ad<=ap;ad++){b.placeBox(av[ad].parentNode,0,0);av[ad].style.position="relative";av[ad].style.left=b.Em(a0);av[ad].style.width="100%";av[ad].parentNode.parentNode.removeChild(av[ad].parentNode);var al=b.createBox(E);b.addBox(al,av[ad]);av[ad]=al;var h=al.style;h.display="inline-block";h.left=aS+"%";if(aP[ad].match(/%$/)){var t=parseFloat(aP[ad])*R;if(ag===0){h.width=(k+t)+"%";aS+=k+t;al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l);a0-=l}else{h.width=t+"%";aS+=t}}else{if(aP[ad]==="fit"||ag===0){h.width=k+"%";al=b.createBox(al);b.addBox(al,av[ad].firstChild);al.style.left=0;al.style.right=b.Em(l-aj[ad]);a0+=aj[ad]-l;aS+=k}else{h.width=b.Em(aj[ad]);a0+=aj[ad]}}if(b.msieRelativeWidthBug){b.addText(al.firstChild,b.NBSP);al.firstChild.style.position="relative"}a0+=aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createBox(E);q.style.left=aS+"%";q=b.createRule(q,g,0,1.25/b.em);q.style.position="absolute";q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};q.parentNode.bbox=ay.bbox;b.placeBox(q,a0-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}else{var T=aL;for(ad=0;ad<=ap;ad++){if(!av[ad].bbox.width){b.setStackWidth(av[ad],aj[ad])}if(aP[ad]!=="auto"&&aP[ad]!=="fit"){av[ad].bbox.width=aj[ad];av[ad].bbox.isFixed=true}b.placeBox(av[ad].parentNode,T,0);T+=aj[ad]+aA[ad];if(d[ad]!=="none"&&ad<ap&&ad!==aC){q=b.createRule(ay,g,0,1.25/b.em);b.addBox(ay,q);q.bbox={h:g,d:0,w:0,rw:1.25/b.em,lw:0};b.placeBox(q,T-aA[ad]/2,aY,true);q.style.borderStyle=d[ad]}}}ay.bbox.d=-aY;ay.bbox.h=g+aY;b.setStackWidth(ay,ay.bbox.w+aL);aZ=ay.bbox.w;var ah;if(I.frame!=="none"){ah=b.createFrame(ay,g,0,aZ,1.25/b.em,I.frame);b.addBox(ay,ah);b.placeBox(ah,0,aY,true);if(aM){ah.style.width="100%"}}S=ai;for(ae=0,ac=aw.length-1;ae<ac;ae++){o=Math.max(0,au[ae]+aq[ae+1]+aT[ae]);if(w[ae]!==a.LINES.NONE&&w[ae]!==""){q=b.createRule(ay,1.25/b.em,0,aZ);b.addBox(ay,q);q.bbox={h:1.25/b.em,d:0,w:aZ,rw:aZ,lw:0};b.placeBox(q,0,S-au[ae]-(o-au[ae]-aq[ae+1])/2,true);if(w[ae]===a.LINES.DASHED){q.style.borderTopStyle="dashed"}if(aM){q.style.width="100%"}}S-=o}if(aM){r.bbox.width=I.width;ay.style.width="100%"}if(av[aC]){var ax=ay.bbox.w;var ar=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(ar.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){ar.indentalign=ar.indentalignfirst}if(ar.indentalign===a.INDENTALIGN.AUTO){ar.indentalign=this.displayAlign}if(ar.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){ar.indentshift=ar.indentshiftfirst}if(ar.indentshift==="auto"){ar.indentshift="0"}var an=b.length2em(ar.indentshift,aB,b.cwidth);var aD=b.length2em(I.minlabelspacing,aB,b.cwidth);var aX=aD+av[aC].bbox.w,az=0,ak=ax;var aI=b.length2em(this.displayIndent,aB,b.cwidth);X=(e[aC]===a.INDENTALIGN.RIGHT?-1:1);if(ar.indentalign===a.INDENTALIGN.CENTER){ak+=2*(aX-X*(an+aI));an+=aI}else{if(e[aC]===ar.indentalign){if(aI<0){az=X*aI;aI=0}an+=X*aI;if(aX>X*an){an=X*aX}an+=az;ak+=X*an}else{ak+=aX-X*an+aI;an-=X*aI}}var aQ=b.createStack(r,false,"100%");b.addBox(aQ,ay);b.alignBox(ay,ar.indentalign,0,an);av[aC].parentNode.parentNode.removeChild(av[aC].parentNode);b.addBox(aQ,av[aC]);b.alignBox(av[aC],e[aC],0);if(b.msieRelativeWidthBug){ay.style.top=av[aC].style.top=""}if(aM){ay.style.width=I.width;r.bbox.width="100%"}av[aC].style[X===1?"marginLeft":"marginRight"]=b.Em(X*az);r.bbox.tw=ak;r.style.minWidth=r.bbox.minWidth=b.Em(ak);aQ.style.minWidth=aQ.bbox.minWidth=b.Em(ak/aJ)}if(!aM){this.HTMLhandleSpace(r)}var u=this.HTMLhandleColor(r);if(u&&aM){if(!ah){ah=b.createFrame(ay,g,0,aZ,0,"none");b.addBox(ay,ah);b.placeBox(ah,0,aY,true);ah.style.width="100%"}ah.style.backgroundColor=u.style.backgroundColor;ah.parentNode.insertBefore(ah,ah.parentNode.firstChild);u.parentNode.removeChild(u)}return r},HTMLhandleSpace:function(d){d.bbox.keepPadding=true;d.bbox.exact=true;if(!this.hasFrame&&d.bbox.width==null){d.firstChild.style.marginLeft=d.firstChild.style.marginRight=b.Em(1/6);d.bbox.w+=1/3;d.bbox.rw+=1/3;d.bbox.lw+=1/6}this.SUPER(arguments).HTMLhandleSpace.call(this,d)}});a.mtd.Augment({toHTML:function(e,d,g){e=this.HTMLcreateSpan(e);if(this.data[0]){var f=this.data[0].toHTML(e);if(g!=null){f=this.data[0].HTMLstretchV(e,d,g)}else{if(d!=null){f=this.data[0].HTMLstretchH(e,d)}}e.bbox=f.bbox}this.HTMLhandleSpace(e);this.HTMLhandleColor(e);return e},HTMLstretchH:a.mbase.HTMLstretchH,HTMLstretchV:a.mbase.HTMLstretchV});MathJax.Hub.Startup.signal.Post("HTML-CSS mtable Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/mtable.js")});
diff --git a/jax/output/HTML-CSS/autoload/multiline.js b/jax/output/HTML-CSS/autoload/multiline.js
index 5cee9ea1be..553785d0fa 100644
--- a/jax/output/HTML-CSS/autoload/multiline.js
+++ b/jax/output/HTML-CSS/autoload/multiline.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/autoload/multiline.js
+ *  /MathJax-v2/jax/output/HTML-CSS/autoload/multiline.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="2.7.6";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var f=a.mo().With({HTMLspanElement:function(){return{bbox:{w:0},style:{}}}});var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mbase.Augment({HTMLlinebreakPenalty:e,HTMLmultiline:function(o){var p=this;while(p.inferred||(p.parent&&p.parent.type==="mrow"&&p.isEmbellished())){p=p.parent}var m=((p.type==="math"&&p.Get("display")==="block")||p.type==="mtd");p.isMultiline=true;var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}q.lineleading=b.length2em(q.lineleading,1,0.5);this.HTMLremoveColor(o);var n=b.createStack(o);this.HTMLgetScale();var g={n:0,Y:0,scale:this.scale||1,isTop:m,values:{},VALUES:q},l=this.HTMLgetAlign(g,{}),i=this.HTMLgetShift(g,{},l),h=[],j={index:[],penalty:e.nobreak,w:0,W:i,shift:i,scanW:i,nest:0},k=false;while(this.HTMLbetterBreak(j,g,true)&&(j.scanW>=b.linebreakWidth||j.penalty===e.newline)){this.HTMLaddLine(n,h,j.index,g,j.values,k);h=j.index.slice(0);k=true;l=this.HTMLgetAlign(g,j.values);i=this.HTMLgetShift(g,j.values,l);if(l===a.INDENTALIGN.CENTER){i=0}j.W=j.shift=j.scanW=i;j.penalty=e.nobreak}g.isLast=true;this.HTMLaddLine(n,h,[],g,c,k);if(m){n.style.width="100%";if(p.type==="math"){o.bbox.width="100%"}}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);o.bbox.isMultiline=true;return o},HTMLbetterBreak:function(k,g,r){if(this.isToken){return false}if(this.isEmbellished()){k.embellished=this;return this.CoreMO().HTMLbetterBreak(k,g)}if(this.linebreakContainer){return false}var q=k.index.slice(0),o=k.index.shift(),n=this.data.length,l,s,j,p=(k.index.length>0),h=false;if(o==null){o=-1}if(!p){o++;k.W+=k.w;k.w=0}j=k.scanW=k.W;k.nest++;while(o<n&&(k.scanW<e.maxwidth*b.linebreakWidth||k.w===0)){if(this.data[o]){if(this.data[o].HTMLbetterBreak(k,g)){h=true;q=[o].concat(k.index);l=k.W;s=k.w;if(k.penalty===e.newline){k.index=q;if(k.nest){k.nest--}return true}}j=(p?k.scanW:this.HTMLaddWidth(o,k,j))}k.index=[];o++;p=false}if(r&&h){f.parent=this.parent;f.inherit=this.inherit;if(f.HTMLbetterBreak(k,g)){h=false;q=k.index}}if(k.nest){k.nest--}k.index=q;if(h){k.W=l;k.w=s}return h},HTMLaddWidth:function(g,k,j){if(this.data[g]){var h=this.data[g].HTMLspanElement();j+=h.bbox.w;if(h.style.paddingLeft){j+=b.unEm(h.style.paddingLeft)}if(h.style.paddingRight){j+=b.unEm(h.style.paddingRight)}k.W=k.scanW=j;k.w=0}return j},HTMLaddLine:function(o,h,k,g,p,m){line=b.createBox(o);line.bbox=this.HTMLemptyBBox({});g.first=m;g.last=true;this.HTMLmoveLine(h,k,line,g,p);this.HTMLcleanBBox(line.bbox);var n=this.HTMLgetAlign(g,p),i=this.HTMLgetShift(g,p,n);if(g.n>0){var l=b.FONTDATA.baselineskip*g.scale;var j=(g.values.lineleading==null?g.VALUES:g.values).lineleading*g.scale;g.Y-=Math.max(l,g.d+line.bbox.h+j)}b.alignBox(line,n,g.Y,i);g.d=line.bbox.d;g.values=p;g.n++},HTMLgetAlign:function(j,g){var k=g,h=j.values,i=j.VALUES,l;if(j.n===0){l=k.indentalignfirst||h.indentalignfirst||i.indentalignfirst}else{if(j.isLast){l=h.indentalignlast||i.indentalignlast}else{l=h.indentalign||i.indentalign}}if(l===a.INDENTALIGN.INDENTALIGN){l=h.indentalign||i.indentalign}if(l===a.INDENTALIGN.AUTO){l=(j.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return l},HTMLgetShift:function(l,i,n){var m=i,j=l.values,k=l.VALUES,h;if(l.n===0){h=m.indentshiftfirst||j.indentshiftfirst||k.indentshiftfirst}else{if(l.isLast){h=j.indentshiftlast||k.indentshiftlast}else{h=j.indentshift||k.indentshift}}if(h===a.INDENTSHIFT.INDENTSHIFT){h=j.indentshift||k.indentshift}if(h==="auto"||h===""){h="0"}h=b.length2em(h,1,b.cwidth);if(l.isTop&&this.displayIndent!=="0"){var g=b.length2em(this.displayIndent,1,b.cwidth);h+=(n===a.INDENTALIGN.RIGHT?-g:g)}return h},HTMLmoveLine:function(p,g,m,o,h){var l=p[0],k=g[0];if(l==null){l=-1}if(k==null){k=this.data.length-1}if(l===k&&p.length>1){this.data[l].HTMLmoveSlice(p.slice(1),g.slice(1),m,o,h,"paddingLeft")}else{var n=o.last;o.last=false;while(l<k){if(this.data[l]){if(p.length<=1){this.data[l].HTMLmoveSpan(m,o,h)}else{this.data[l].HTMLmoveSlice(p.slice(1),[],m,o,h,"paddingLeft")}}l++;o.first=false;p=[]}o.last=n;if(this.data[l]){if(g.length<=1){this.data[l].HTMLmoveSpan(m,o,h)}else{this.data[l].HTMLmoveSlice([],g.slice(1),m,o,h,"paddingRight")}}}},HTMLmoveSlice:function(h,k,p,g,q,m){this.HTMLremoveColor();var o=this.HTMLcreateSliceSpan(p);this.HTMLmoveLine(h,k,o,g,q);o.style[m]="";this.HTMLcombineBBoxes(o,p.bbox);this.HTMLcleanBBox(o.bbox);if(k.length===0){p=this.HTMLspanElement();var l=p;if(this.href){p=p.parentNode}p.parentNode.removeChild(p);p.nextMathJaxSpan.id=l.id;var i=0;while((l=l.nextMathJaxSpan)){if(l.nodeName.toLowerCase()==="a"){l=l.firstChild}var j=this.HTMLhandleColor(l);if(j){j.id+="-MathJax-Continue-"+i;i++}}}return o},HTMLcreateSliceSpan:function(h){var k=this.HTMLspanElement(),j=0;if(this.href){k=k.parentNode}var g=k;while(g.nextMathJaxSpan){g=g.nextMathJaxSpan;j++}var i=k.cloneNode(false);g.nextMathJaxSpan=i;i.nextMathJaxSpan=null;i.id+="-MathJax-Continue-"+j;i.bbox=this.HTMLemptyBBox({});return h.appendChild(i)},HTMLmoveSpan:function(g,k,i){if(!(k.first||k.last)||(k.first&&k.values.linebreakstyle===a.LINEBREAKSTYLE.BEFORE)||(k.last&&i.linebreakstyle===a.LINEBREAKSTYLE.AFTER)){var h=document.getElementById("MathJax-Color-"+this.spanID+b.idPostfix);if(h){g.appendChild(h)}var j=this.HTMLspanElement();if(this.href){j=j.parentNode}g.appendChild(j);if(k.last){j.style.paddingRight=""}if(k.first||k.nextIsFirst){j.style.paddingLeft="";if(h){this.HTMLremoveColor(j);this.HTMLhandleColor(j)}}if(k.first&&j.bbox.w===0){k.nextIsFirst=true}else{delete k.nextIsFirst}this.HTMLcombineBBoxes(this,g.bbox)}}});a.mfenced.Augment({HTMLbetterBreak:function(l,g){var u=l.index.slice(0),s=l.index.shift(),p=this.data.length,o,v,n,t=(l.index.length>0),h=false;if(s==null){s=-1}if(!t){s++;l.W+=l.w;l.w=0}n=l.scanW=l.W;l.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(p){this.dataI.push(0)}for(var r=1;r<p;r++){if(this.data["sep"+r]){this.dataI.push("sep"+r)}this.dataI.push(r)}if(this.data.close){this.dataI.push("close")}}p=this.dataI.length;while(s<p&&(l.scanW<e.maxwidth*b.linebreakWidth||l.w===0)){var q=this.dataI[s];if(this.data[q]){if(this.data[q].HTMLbetterBreak(l,g)){h=true;u=[s].concat(l.index);o=l.W;v=l.w;if(l.penalty===e.newline){l.index=u;if(l.nest){l.nest--}return true}}n=(t?l.scanW:this.HTMLaddWidth(s,l,n))}l.index=[];s++;t=false}if(l.nest){l.nest--}l.index=u;if(h){l.W=o;l.w=v}return h},HTMLmoveLine:function(h,m,p,g,r){var o=h[0],n=m[0];if(o==null){o=-1}if(n==null){n=this.dataI.length-1}if(o===n&&h.length>1){this.data[this.dataI[o]].HTMLmoveSlice(h.slice(1),m.slice(1),p,g,r,"paddingLeft")}else{var q=g.last;g.last=false;var l=this.dataI[o];while(o<n){if(this.data[l]){if(h.length<=1){this.data[l].HTMLmoveSpan(p,g,r)}else{this.data[l].HTMLmoveSlice(h.slice(1),[],p,g,r,"paddingLeft")}}o++;l=this.dataI[o];g.first=false;h=[]}g.last=q;if(this.data[l]){if(m.length<=1){this.data[l].HTMLmoveSpan(p,g,r)}else{this.data[l].HTMLmoveSlice([],m.slice(1),p,g,r,"paddingRight")}}}}});a.msubsup.Augment({HTMLbetterBreak:function(j,g){if(!this.data[this.base]){return false}var o=j.index.slice(0),m=j.index.shift(),l,p,k,n=(j.index.length>0),h=false;if(!n){j.W+=j.w;j.w=0}k=j.scanW=j.W;if(m==null){this.HTMLbaseW=this.data[this.base].HTMLspanElement().bbox.w;this.HTMLdw=this.HTMLspanElement().bbox.w-this.HTMLbaseW}if(this.data[this.base].HTMLbetterBreak(j,g)){h=true;o=[this.base].concat(j.index);l=j.W;p=j.w;if(j.penalty===e.newline){h=n=true}}if(!n){this.HTMLaddWidth(this.base,j,k)}j.scanW+=this.HTMLdw;j.W=j.scanW;j.index=[];if(h){j.W=l;j.w=p;j.index=o}return h},HTMLmoveLine:function(n,h,k,m,i){if(this.data[this.base]){if(n.length>1){this.data[this.base].HTMLmoveSlice(n.slice(1),h.slice(1),k,m,i,"paddingLeft")}else{if(h.length<=1){this.data[this.base].HTMLmoveSpan(k,m,i)}else{this.data[this.base].HTMLmoveSlice([],h.slice(1),k,m,i,"paddingRight")}}}if(h.length===0){var j=this.data[this.sup]||this.data[this.sub];if(j&&this.HTMLnotEmpty(j)){var l=j.HTMLspanElement().parentNode;if(j.href){l=l.parentNode}var g=l.parentNode;if(this.data[this.base]){g.removeChild(g.firstChild)}for(l=g.firstChild;l;l=l.nextSibling){l.style.left=b.Em(b.unEm(l.style.left)-this.HTMLbaseW)}g.bbox.w-=this.HTMLbaseW;g.style.width=b.Em(g.bbox.w);this.HTMLcombineBBoxes(g,k.bbox);k.appendChild(g)}}}});a.mmultiscripts.Augment({HTMLbetterBreak:function(k,h){if(!this.data[this.base]){return false}var o=k.index.slice(0);k.index.shift();var m,p,l,n=(k.index.length>0),j=false;if(!n){k.W+=k.w;k.w=0}k.scanW=k.W;var q=this.HTMLspanElement().bbox,i=this.data[this.base].HTMLspanElement().bbox;var g=q.w-i.w;k.scanW+=q.dx;l=k.scanW;if(this.data[this.base].HTMLbetterBreak(k,h)){j=true;o=[this.base].concat(k.index);m=k.W;p=k.w;if(k.penalty===e.newline){j=n=true}}if(!n){this.HTMLaddWidth(this.base,k,l)}k.scanW+=g;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=p;k.index=o}return j},HTMLmoveLine:function(i,j,p,h,q){var n=this.HTMLspanElement(),l=n.bbox,o=n.firstChild,g={};if(b.msiePaddingWidthBug){o=o.nextSibling}var m=o.firstChild;while(m){if(m.bbox&&m.bbox.name){g[m.bbox.name]=m}m=m.nextSibling}if(i.length<1){if(g.presub||g.presup){var k=b.createStack(p);if(g.presup){b.addBox(k,g.presup);b.placeBox(g.presup,l.dx-g.presup.bbox.w,l.u)}if(g.presub){b.addBox(k,g.presub);b.placeBox(g.presub,l.dx+l.delta-g.presub.bbox.w,-l.v)}this.HTMLcombineBBoxes(k,p.bbox);p.appendChild(k);k.style.width=b.Em(l.dx)}}if(this.data[this.base]){if(i.length>1){this.data[this.base].HTMLmoveSlice(i.slice(1),j.slice(1),p,h,q,"paddingLeft")}else{if(j.length<=1){this.data[this.base].HTMLmoveSpan(p,h,q)}else{this.data[this.base].HTMLmoveSlice([],j.slice(1),p,h,q,"paddingRight")}}}if(j.length===0){if(this.data[this.base]){o.removeChild(o.firstChild)}for(m=o.firstChild;m;m=m.nextSibling){m.style.left=b.Em(b.unEm(m.style.left)-l.px)}o.bbox.w-=l.px;o.style.width=b.Em(o.bbox.w);this.HTMLcombineBBoxes(o,p.bbox);p.appendChild(o)}}});a.mo.Augment({HTMLbetterBreak:function(i,g){if(i.values&&i.values.id===this.spanID){return false}var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}if(q.texClass===a.TEXCLASS.OPEN){i.nest++}if(q.texClass===a.TEXCLASS.CLOSE&&i.nest){i.nest--}var j=i.scanW,k=(i.embellished||this);delete i.embellished;var o=k.HTMLspanElement(),p=o.bbox.w;if(o.style.paddingLeft){p+=b.unEm(o.style.paddingLeft)}if(q.linebreakstyle===a.LINEBREAKSTYLE.AFTER){j+=p;p=0}if(j-i.shift===0&&q.linebreak!==a.LINEBREAK.NEWLINE){return false}var l=b.linebreakWidth-j;if(g.n===0&&(q.indentshiftfirst!==g.VALUES.indentshiftfirst||q.indentalignfirst!==g.VALUES.indentalignfirst)){var m=this.HTMLgetAlign(g,q),h=this.HTMLgetShift(g,q,m);l+=(i.shift-h)}var n=Math.floor(l/b.linebreakWidth*1000);if(n<0){n=e.toobig-3*n}if(q.fence){n+=e.fence}if((q.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&q.texClass===a.TEXCLASS.OPEN)||q.texClass===a.TEXCLASS.CLOSE){n+=e.close}n+=i.nest*e.nestfactor;var r=e[q.linebreak||a.LINEBREAK.AUTO]||0;if(!MathJax.Object.isArray(r)){if(r||l>=0){n=r*i.nest}}else{n=Math.max(1,n+r[0]*i.nest)}if(n>=i.penalty){return false}i.penalty=n;i.values=q;i.W=j;i.w=p;q.lineleading=b.length2em(q.lineleading,1,g.VALUES.lineleading);q.id=this.spanID;return true}});a.mspace.Augment({HTMLbetterBreak:function(h,g){if(h.values&&h.values.id===this.spanID){return false}var o=this.getValues("linebreak");var l=o.linebreak;if(!l||this.hasDimAttr()){l=a.LINEBREAK.AUTO}var i=h.scanW,m=this.HTMLspanElement(),n=m.bbox.w;if(m.style.paddingLeft){n+=b.unEm(m.style.paddingLeft)}if(i-h.shift===0){return false}var j=b.linebreakWidth-i;var k=Math.floor(j/b.linebreakWidth*1000);if(k<0){k=e.toobig-3*k}k+=h.nest*e.nestfactor;var p=e[l]||0;if(l===a.LINEBREAK.AUTO&&n>=e.spacelimit&&!this.mathbackground&&!this.background){p=[(n+e.spaceoffset)*e.spacefactor]}if(!MathJax.Object.isArray(p)){if(p||j>=0){k=p*h.nest}}else{k=Math.max(1,k+p[0]*h.nest)}if(k>=h.penalty){return false}h.penalty=k;h.values=o;h.W=i;h.w=n;o.lineleading=g.VALUES.lineleading;o.linebreakstyle="before";o.id=this.spanID;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({HTMLbetterBreak:function(h,g){return this.Core().HTMLbetterBreak(h,g)},HTMLmoveLine:function(k,g,i,j,h){return this.Core().HTMLmoveSlice(k,g,i,j,h)}})});a.maction.Augment({HTMLbetterBreak:function(h,g){return this.Core().HTMLbetterBreak(h,g)},HTMLmoveLine:function(k,g,i,j,h){return this.Core().HTMLmoveSlice(k,g,i,j,h)},HTMLmoveSlice:function(h,j,m,g,o,k){var p=document.getElementById("MathJax-HitBox-"+this.spanID+b.idPostfix);if(p){p.parentNode.removeChild(p)}var l=this.SUPER(arguments).HTMLmoveSlice.apply(this,arguments);if(j.length===0){m=this.HTMLspanElement();var i=0;while(m){p=this.HTMLhandleHitBox(m,"-Continue-"+i);m=m.nextMathJaxSpan;i++}}return l}});a.semantics.Augment({HTMLbetterBreak:function(h,g){return(this.data[0]?this.data[0].HTMLbetterBreak(h,g):false)},HTMLmoveLine:function(k,g,i,j,h){return(this.data[0]?this.data[0].HTMLmoveSlice(k,g,i,j,h):null)}});MathJax.Hub.Startup.signal.Post("HTML-CSS multiline Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/multiline.js")});
+MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){var d="2.7.9";var a=MathJax.ElementJax.mml,b=MathJax.OutputJax["HTML-CSS"];var f=a.mo().With({HTMLspanElement:function(){return{bbox:{w:0},style:{}}}});var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mbase.Augment({HTMLlinebreakPenalty:e,HTMLmultiline:function(o){var p=this;while(p.inferred||(p.parent&&p.parent.type==="mrow"&&p.isEmbellished())){p=p.parent}var m=((p.type==="math"&&p.Get("display")==="block")||p.type==="mtd");p.isMultiline=true;var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}q.lineleading=b.length2em(q.lineleading,1,0.5);this.HTMLremoveColor(o);var n=b.createStack(o);this.HTMLgetScale();var g={n:0,Y:0,scale:this.scale||1,isTop:m,values:{},VALUES:q},l=this.HTMLgetAlign(g,{}),i=this.HTMLgetShift(g,{},l),h=[],j={index:[],penalty:e.nobreak,w:0,W:i,shift:i,scanW:i,nest:0},k=false;while(this.HTMLbetterBreak(j,g,true)&&(j.scanW>=b.linebreakWidth||j.penalty===e.newline)){this.HTMLaddLine(n,h,j.index,g,j.values,k);h=j.index.slice(0);k=true;l=this.HTMLgetAlign(g,j.values);i=this.HTMLgetShift(g,j.values,l);if(l===a.INDENTALIGN.CENTER){i=0}j.W=j.shift=j.scanW=i;j.penalty=e.nobreak}g.isLast=true;this.HTMLaddLine(n,h,[],g,c,k);if(p.type==="math"){n.style.width=o.bbox.width="100%"}this.HTMLhandleSpace(o);this.HTMLhandleColor(o);o.bbox.isMultiline=true;return o},HTMLbetterBreak:function(k,g,r){if(this.isToken){return false}if(this.isEmbellished()){k.embellished=this;return this.CoreMO().HTMLbetterBreak(k,g)}if(this.linebreakContainer){return false}var q=k.index.slice(0),o=k.index.shift(),n=this.data.length,l,s,j,p=(k.index.length>0),h=false;if(o==null){o=-1}if(!p){o++;k.W+=k.w;k.w=0}j=k.scanW=k.W;k.nest++;while(o<n&&(k.scanW<e.maxwidth*b.linebreakWidth||k.w===0)){if(this.data[o]){if(this.data[o].HTMLbetterBreak(k,g)){h=true;q=[o].concat(k.index);l=k.W;s=k.w;if(k.penalty===e.newline){k.index=q;if(k.nest){k.nest--}return true}}j=(p?k.scanW:this.HTMLaddWidth(o,k,j))}k.index=[];o++;p=false}if(r&&h){f.parent=this.parent;f.inherit=this.inherit;if(f.HTMLbetterBreak(k,g)){h=false;q=k.index}}if(k.nest){k.nest--}k.index=q;if(h){k.W=l;k.w=s}return h},HTMLaddWidth:function(g,k,j){if(this.data[g]){var h=this.data[g].HTMLspanElement();j+=h.bbox.w;if(h.style.paddingLeft){j+=b.unEm(h.style.paddingLeft)}if(h.style.paddingRight){j+=b.unEm(h.style.paddingRight)}k.W=k.scanW=j;k.w=0}return j},HTMLaddLine:function(o,h,k,g,p,m){line=b.createBox(o);line.bbox=this.HTMLemptyBBox({});g.first=m;g.last=true;this.HTMLmoveLine(h,k,line,g,p);this.HTMLcleanBBox(line.bbox);var n=this.HTMLgetAlign(g,p),i=this.HTMLgetShift(g,p,n);if(g.n>0){var l=b.FONTDATA.baselineskip*g.scale;var j=(g.values.lineleading==null?g.VALUES:g.values).lineleading*g.scale;g.Y-=Math.max(l,g.d+line.bbox.h+j)}b.alignBox(line,n,g.Y,i);g.d=line.bbox.d;g.values=p;g.n++},HTMLgetAlign:function(j,g){var k=g,h=j.values,i=j.VALUES,l;if(j.n===0){l=k.indentalignfirst||h.indentalignfirst||i.indentalignfirst}else{if(j.isLast){l=h.indentalignlast||i.indentalignlast}else{l=h.indentalign||i.indentalign}}if(l===a.INDENTALIGN.INDENTALIGN){l=h.indentalign||i.indentalign}if(l===a.INDENTALIGN.AUTO){l=(j.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return l},HTMLgetShift:function(l,i,n){var m=i,j=l.values,k=l.VALUES,h;if(l.n===0){h=m.indentshiftfirst||j.indentshiftfirst||k.indentshiftfirst}else{if(l.isLast){h=j.indentshiftlast||k.indentshiftlast}else{h=j.indentshift||k.indentshift}}if(h===a.INDENTSHIFT.INDENTSHIFT){h=j.indentshift||k.indentshift}if(h==="auto"||h===""){h="0"}h=b.length2em(h,1,b.cwidth);if(l.isTop&&this.displayIndent!=="0"){var g=b.length2em(this.displayIndent,1,b.cwidth);h+=(n===a.INDENTALIGN.RIGHT?-g:g)}return h},HTMLmoveLine:function(p,g,m,o,h){var l=p[0],k=g[0];if(l==null){l=-1}if(k==null){k=this.data.length-1}if(l===k&&p.length>1){this.data[l].HTMLmoveSlice(p.slice(1),g.slice(1),m,o,h,"paddingLeft")}else{var n=o.last;o.last=false;while(l<k){if(this.data[l]){if(p.length<=1){this.data[l].HTMLmoveSpan(m,o,h)}else{this.data[l].HTMLmoveSlice(p.slice(1),[],m,o,h,"paddingLeft")}}l++;o.first=false;p=[]}o.last=n;if(this.data[l]){if(g.length<=1){this.data[l].HTMLmoveSpan(m,o,h)}else{this.data[l].HTMLmoveSlice([],g.slice(1),m,o,h,"paddingRight")}}}},HTMLmoveSlice:function(h,k,p,g,q,m){this.HTMLremoveColor();var o=this.HTMLcreateSliceSpan(p);this.HTMLmoveLine(h,k,o,g,q);o.style[m]="";this.HTMLcombineBBoxes(o,p.bbox);this.HTMLcleanBBox(o.bbox);if(k.length===0){p=this.HTMLspanElement();var l=p;if(this.href){p=p.parentNode}p.parentNode.removeChild(p);p.nextMathJaxSpan.id=l.id;var i=0;while((l=l.nextMathJaxSpan)){if(l.nodeName.toLowerCase()==="a"){l=l.firstChild}var j=this.HTMLhandleColor(l);if(j){j.id+="-MathJax-Continue-"+i;i++}}}return o},HTMLcreateSliceSpan:function(h){var k=this.HTMLspanElement(),j=0;if(this.href){k=k.parentNode}var g=k;while(g.nextMathJaxSpan){g=g.nextMathJaxSpan;j++}var i=k.cloneNode(false);g.nextMathJaxSpan=i;i.nextMathJaxSpan=null;i.id+="-MathJax-Continue-"+j;i.bbox=this.HTMLemptyBBox({});return h.appendChild(i)},HTMLmoveSpan:function(g,k,i){if(!(k.first||k.last)||(k.first&&k.values.linebreakstyle===a.LINEBREAKSTYLE.BEFORE)||(k.last&&i.linebreakstyle===a.LINEBREAKSTYLE.AFTER)){var h=document.getElementById("MathJax-Color-"+this.spanID+b.idPostfix);if(h){g.appendChild(h)}var j=this.HTMLspanElement();if(this.href){j=j.parentNode}g.appendChild(j);if(k.last){j.style.paddingRight=""}if(k.first||k.nextIsFirst){j.style.paddingLeft="";if(h){this.HTMLremoveColor(j);this.HTMLhandleColor(j)}}if(k.first&&j.bbox.w===0){k.nextIsFirst=true}else{delete k.nextIsFirst}this.HTMLcombineBBoxes(this,g.bbox)}}});a.mfenced.Augment({HTMLbetterBreak:function(l,g){var u=l.index.slice(0),s=l.index.shift(),p=this.data.length,o,v,n,t=(l.index.length>0),h=false;if(s==null){s=-1}if(!t){s++;l.W+=l.w;l.w=0}n=l.scanW=l.W;l.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(p){this.dataI.push(0)}for(var r=1;r<p;r++){if(this.data["sep"+r]){this.dataI.push("sep"+r)}this.dataI.push(r)}if(this.data.close){this.dataI.push("close")}}p=this.dataI.length;while(s<p&&(l.scanW<e.maxwidth*b.linebreakWidth||l.w===0)){var q=this.dataI[s];if(this.data[q]){if(this.data[q].HTMLbetterBreak(l,g)){h=true;u=[s].concat(l.index);o=l.W;v=l.w;if(l.penalty===e.newline){l.index=u;if(l.nest){l.nest--}return true}}n=(t?l.scanW:this.HTMLaddWidth(s,l,n))}l.index=[];s++;t=false}if(l.nest){l.nest--}l.index=u;if(h){l.W=o;l.w=v}return h},HTMLmoveLine:function(h,m,p,g,r){var o=h[0],n=m[0];if(o==null){o=-1}if(n==null){n=this.dataI.length-1}if(o===n&&h.length>1){this.data[this.dataI[o]].HTMLmoveSlice(h.slice(1),m.slice(1),p,g,r,"paddingLeft")}else{var q=g.last;g.last=false;var l=this.dataI[o];while(o<n){if(this.data[l]){if(h.length<=1){this.data[l].HTMLmoveSpan(p,g,r)}else{this.data[l].HTMLmoveSlice(h.slice(1),[],p,g,r,"paddingLeft")}}o++;l=this.dataI[o];g.first=false;h=[]}g.last=q;if(this.data[l]){if(m.length<=1){this.data[l].HTMLmoveSpan(p,g,r)}else{this.data[l].HTMLmoveSlice([],m.slice(1),p,g,r,"paddingRight")}}}}});a.msubsup.Augment({HTMLbetterBreak:function(j,g){if(!this.data[this.base]){return false}var o=j.index.slice(0),m=j.index.shift(),l,p,k,n=(j.index.length>0),h=false;if(!n){j.W+=j.w;j.w=0}k=j.scanW=j.W;if(m==null){this.HTMLbaseW=this.data[this.base].HTMLspanElement().bbox.w;this.HTMLdw=this.HTMLspanElement().bbox.w-this.HTMLbaseW}if(this.data[this.base].HTMLbetterBreak(j,g)){h=true;o=[this.base].concat(j.index);l=j.W;p=j.w;if(j.penalty===e.newline){h=n=true}}if(!n){this.HTMLaddWidth(this.base,j,k)}j.scanW+=this.HTMLdw;j.W=j.scanW;j.index=[];if(h){j.W=l;j.w=p;j.index=o}return h},HTMLmoveLine:function(h,j,m,g,n){if(this.data[this.base]){if(h.length>1){this.data[this.base].HTMLmoveSlice(h.slice(1),j.slice(1),m,g,n,"paddingLeft")}else{if(j.length<=1){this.data[this.base].HTMLmoveSpan(m,g,n)}else{this.data[this.base].HTMLmoveSlice([],j.slice(1),m,g,n,"paddingRight")}}}if(j.length===0){var o=this.data[this.sup]||this.data[this.sub];if(o&&this.HTMLnotEmpty(o)){var k=o.HTMLspanElement().parentNode;if(o.href){k=k.parentNode}var l=k.parentNode;if(this.data[this.base]){var i=this.data[this.base].HTMLspanElement().bbox.ic;if(i){l.style.marginLeft=b.Em(-i)}l.removeChild(l.firstChild)}for(k=l.firstChild;k;k=k.nextSibling){k.style.left=b.Em(b.unEm(k.style.left)-this.HTMLbaseW)}l.bbox.w-=this.HTMLbaseW;l.style.width=b.Em(l.bbox.w);this.HTMLcombineBBoxes(l,m.bbox);m.appendChild(l)}}}});a.mmultiscripts.Augment({HTMLbetterBreak:function(k,h){if(!this.data[this.base]){return false}var o=k.index.slice(0);k.index.shift();var m,p,l,n=(k.index.length>0),j=false;if(!n){k.W+=k.w;k.w=0}k.scanW=k.W;var q=this.HTMLspanElement().bbox,i=this.data[this.base].HTMLspanElement().bbox;var g=q.w-i.w;k.scanW+=q.dx;l=k.scanW;if(this.data[this.base].HTMLbetterBreak(k,h)){j=true;o=[this.base].concat(k.index);m=k.W;p=k.w;if(k.penalty===e.newline){j=n=true}}if(!n){this.HTMLaddWidth(this.base,k,l)}k.scanW+=g;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=p;k.index=o}return j},HTMLmoveLine:function(i,j,p,h,q){var n=this.HTMLspanElement(),l=n.bbox,o=n.firstChild,g={};if(b.msiePaddingWidthBug){o=o.nextSibling}var m=o.firstChild;while(m){if(m.bbox&&m.bbox.name){g[m.bbox.name]=m}m=m.nextSibling}if(i.length<1){if(g.presub||g.presup){var k=b.createStack(p);if(g.presup){b.addBox(k,g.presup);b.placeBox(g.presup,l.dx-g.presup.bbox.w,l.u)}if(g.presub){b.addBox(k,g.presub);b.placeBox(g.presub,l.dx+l.delta-g.presub.bbox.w,-l.v)}this.HTMLcombineBBoxes(k,p.bbox);p.appendChild(k);k.style.width=b.Em(l.dx)}}if(this.data[this.base]){if(i.length>1){this.data[this.base].HTMLmoveSlice(i.slice(1),j.slice(1),p,h,q,"paddingLeft")}else{if(j.length<=1){this.data[this.base].HTMLmoveSpan(p,h,q)}else{this.data[this.base].HTMLmoveSlice([],j.slice(1),p,h,q,"paddingRight")}}}if(j.length===0){if(this.data[this.base]){o.removeChild(o.firstChild)}for(m=o.firstChild;m;m=m.nextSibling){m.style.left=b.Em(b.unEm(m.style.left)-l.px)}o.bbox.w-=l.px;o.style.width=b.Em(o.bbox.w);this.HTMLcombineBBoxes(o,p.bbox);p.appendChild(o)}}});a.mo.Augment({HTMLbetterBreak:function(i,g){if(i.values&&i.values.id===this.spanID){return false}var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}if(q.texClass===a.TEXCLASS.OPEN){i.nest++}if(q.texClass===a.TEXCLASS.CLOSE&&i.nest){i.nest--}var j=i.scanW,k=(i.embellished||this);delete i.embellished;var o=k.HTMLspanElement(),p=o.bbox.w;if(o.style.paddingLeft){p+=b.unEm(o.style.paddingLeft)}if(q.linebreakstyle===a.LINEBREAKSTYLE.AFTER){j+=p;p=0}if(j-i.shift===0&&q.linebreak!==a.LINEBREAK.NEWLINE){return false}var l=b.linebreakWidth-j;if(g.n===0&&(q.indentshiftfirst!==g.VALUES.indentshiftfirst||q.indentalignfirst!==g.VALUES.indentalignfirst)){var m=this.HTMLgetAlign(g,q),h=this.HTMLgetShift(g,q,m);l+=(i.shift-h)}var n=Math.floor(l/b.linebreakWidth*1000);if(n<0){n=e.toobig-3*n}if(q.fence){n+=e.fence}if((q.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&q.texClass===a.TEXCLASS.OPEN)||q.texClass===a.TEXCLASS.CLOSE){n+=e.close}n+=i.nest*e.nestfactor;var r=e[q.linebreak||a.LINEBREAK.AUTO]||0;if(!MathJax.Object.isArray(r)){if(r||l>=0){n=r*i.nest}}else{n=Math.max(1,n+r[0]*i.nest)}if(n>=i.penalty){return false}i.penalty=n;i.values=q;i.W=j;i.w=p;q.lineleading=b.length2em(q.lineleading,1,g.VALUES.lineleading);q.id=this.spanID;return true}});a.mspace.Augment({HTMLbetterBreak:function(h,g){if(h.values&&h.values.id===this.spanID){return false}var o=this.getValues("linebreak");var l=o.linebreak;if(!l||this.hasDimAttr()){l=a.LINEBREAK.AUTO}var i=h.scanW,m=this.HTMLspanElement(),n=m.bbox.w;if(m.style.paddingLeft){n+=b.unEm(m.style.paddingLeft)}if(i-h.shift===0){return false}var j=b.linebreakWidth-i;var k=Math.floor(j/b.linebreakWidth*1000);if(k<0){k=e.toobig-3*k}k+=h.nest*e.nestfactor;var p=e[l]||0;if(l===a.LINEBREAK.AUTO&&n>=e.spacelimit&&!this.mathbackground&&!this.background){p=[(n+e.spaceoffset)*e.spacefactor]}if(!MathJax.Object.isArray(p)){if(p||j>=0){k=p*h.nest}}else{k=Math.max(1,k+p[0]*h.nest)}if(k>=h.penalty){return false}h.penalty=k;h.values=o;h.W=i;h.w=n;o.lineleading=g.VALUES.lineleading;o.linebreakstyle="before";o.id=this.spanID;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({HTMLbetterBreak:function(h,g){return this.Core().HTMLbetterBreak(h,g)},HTMLmoveLine:function(k,g,i,j,h){return this.Core().HTMLmoveSlice(k,g,i,j,h)}})});a.maction.Augment({HTMLbetterBreak:function(h,g){return this.Core().HTMLbetterBreak(h,g)},HTMLmoveLine:function(k,g,i,j,h){return this.Core().HTMLmoveSlice(k,g,i,j,h)},HTMLmoveSlice:function(h,j,m,g,o,k){var p=document.getElementById("MathJax-HitBox-"+this.spanID+b.idPostfix);if(p){p.parentNode.removeChild(p)}var l=this.SUPER(arguments).HTMLmoveSlice.apply(this,arguments);if(j.length===0){m=this.HTMLspanElement();var i=0;while(m){p=this.HTMLhandleHitBox(m,"-Continue-"+i);m=m.nextMathJaxSpan;i++}}return l}});a.semantics.Augment({HTMLbetterBreak:function(h,g){return(this.data[0]?this.data[0].HTMLbetterBreak(h,g):false)},HTMLmoveLine:function(k,g,i,j,h){return(this.data[0]?this.data[0].HTMLmoveSlice(k,g,i,j,h):null)}});MathJax.Hub.Startup.signal.Post("HTML-CSS multiline Ready");MathJax.Ajax.loadComplete(b.autoloadDir+"/multiline.js")});
diff --git a/jax/output/HTML-CSS/config.js b/jax/output/HTML-CSS/config.js
index 0583fce421..7f02056b18 100644
--- a/jax/output/HTML-CSS/config.js
+++ b/jax/output/HTML-CSS/config.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/config.js
+ *  /MathJax-v2/jax/output/HTML-CSS/config.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.6",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
+MathJax.OutputJax["HTML-CSS"]=MathJax.OutputJax({id:"HTML-CSS",version:"2.7.9",directory:MathJax.OutputJax.directory+"/HTML-CSS",extensionDir:MathJax.OutputJax.extensionDir+"/HTML-CSS",autoloadDir:MathJax.OutputJax.directory+"/HTML-CSS/autoload",fontDir:MathJax.OutputJax.directory+"/HTML-CSS/fonts",webfontDir:MathJax.OutputJax.fontDir+"/HTML-CSS",config:{noReflows:true,matchFontHeight:true,scale:100,minScaleAdjust:50,availableFonts:["STIX","TeX"],preferredFont:"TeX",webFont:"TeX",imageFont:"TeX",undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",mtextFontInherit:false,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},styles:{".MathJax_Display":{"text-align":"center",margin:"1em 0em"},".MathJax .merror":{"background-color":"#FFFF88",color:"#CC0000",border:"1px solid #CC0000",padding:"1px 3px","font-style":"normal","font-size":"90%"},".MathJax .MJX-monospace":{"font-family":"monospace"},".MathJax .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",filter:"progid:DXImageTransform.Microsoft.dropshadow(OffX=2, OffY=2, Color='gray', Positive='true')",padding:"3px 4px","z-index":401}}}});if(MathJax.Hub.Browser.isMSIE&&document.documentMode>=9){delete MathJax.OutputJax["HTML-CSS"].config.styles["#MathJax_Tooltip"].filter}if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax["HTML-CSS"].Register("jax/mml")}MathJax.Hub.Register.StartupHook("End Config",[function(b,c){var a=b.Insert({minBrowserVersion:{Firefox:3,Opera:9.52,MSIE:6,Chrome:0.3,Safari:2,Konqueror:4},inlineMathDelimiters:["$","$"],displayMathDelimiters:["$$","$$"],multilineDisplay:true,minBrowserTranslate:function(f){var e=b.getJaxFor(f),k=["[Math]"],j;var h=document.createElement("span",{className:"MathJax_Preview"});if(e.inputJax==="TeX"){if(e.root.Get("displaystyle")){j=a.displayMathDelimiters;k=[j[0]+e.originalText+j[1]];if(a.multilineDisplay){k=k[0].split(/\n/)}}else{j=a.inlineMathDelimiters;k=[j[0]+e.originalText.replace(/^\s+/,"").replace(/\s+$/,"")+j[1]]}}for(var g=0,d=k.length;g<d;g++){h.appendChild(document.createTextNode(k[g]));if(g<d-1){h.appendChild(document.createElement("br"))}}f.parentNode.insertBefore(h,f)}},(b.config["HTML-CSS"]||{}));if(b.Browser.version!=="0.0"&&!b.Browser.versionAtLeast(a.minBrowserVersion[b.Browser]||0)){c.Translate=a.minBrowserTranslate;b.Config({showProcessingMessages:false});MathJax.Message.Set(["MathJaxNotSupported","Your browser does not support MathJax"],null,4000);b.Startup.signal.Post("MathJax not supported")}},MathJax.Hub,MathJax.OutputJax["HTML-CSS"]]);MathJax.OutputJax["HTML-CSS"].loadComplete("config.js");
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js
index 91d092f7b4..4419825774 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js
index 1c907f1e6e..90991a3758 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js
index b0db9a94c4..0050d78adf 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js
index aacac0ee3f..8a5c8c78ee 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js
index e2cc6d2dc4..4c43f2a4dc 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js
index c008ff71dc..f5a5237e99 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js
index 1f9d3d4a34..4ff0d90ceb 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js
index 98645d7f5b..efef1ed50a 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js
index 1b716bcc35..96a0ef8523 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js
index 5e58eb17fd..a3ab670b35 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js
index c136635c40..5c0fbbf078 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js
index 9b09ac1061..dcab88b5ba 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js
index d9245e37da..a7ed849a01 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js
index 8194a3a750..b1d0dd7a64 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js
index 6e762570e3..21deddb0a1 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js
index 6876438fc2..a791c54075 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js
index 7bbbb95117..261d7bb14d 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js
index f733c8a039..5916a183c8 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js
index 8517fa5d26..104958e014 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js
index bab38bddba..436979996b 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js
index 28cb86ca9d..91bcea04af 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js
index 544eb1504c..a3ec84016a 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js b/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js
index 036242b153..5146a82adc 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js b/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js
index d3ec5a3581..be7e8c0650 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(p){var z="2.7.6";var o=p.FONTDATA.DELIMITERS;var q="H",d="V";var c="AsanaMathJax_Alphabets",v="AsanaMathJax_Arrows",x="AsanaMathJax_DoubleStruck",A="AsanaMathJax_Fraktur",g="AsanaMathJax_Latin",u="AsanaMathJax_Main",l="AsanaMathJax_Marks",w="AsanaMathJax_Misc",D="AsanaMathJax_Monospace",y="AsanaMathJax_NonUnicode",r="AsanaMathJax_Normal",B="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",n="AsanaMathJax_Script",b="AsanaMathJax_Shapes",k="AsanaMathJax_Size1",j="AsanaMathJax_Size2",i="AsanaMathJax_Size3",h="AsanaMathJax_Size4",f="AsanaMathJax_Size5",e="AsanaMathJax_Size6",t="AsanaMathJax_Symbols",m="AsanaMathJax_Variants";var C={774:{dir:q,HW:[[0.282,u],[0.384,k],[0.542,j],[0.922,i],[1.762,h]]},819:{dir:q,HW:[[0.433,l],[0.511,k],[0.675,j],[1.127,i]],stretch:{rep:[57347,e],right:[57347,e]}},831:{dir:q,HW:[[0.433,l],[0.511,k],[0.675,j],[1.127,i]],stretch:{rep:[57348,e],right:[57348,e]}},8261:{dir:d,HW:[[0.91,l],[1.344,k],[1.862,j],[2.328,i]],stretch:{bot:[57350,e],ext:[57351,e],mid:[57352,e],top:[57353,e]}},8262:{dir:d,HW:[[0.91,l],[1.344,k],[1.862,j],[2.328,i]],stretch:{bot:[57354,e],ext:[57355,e],mid:[57356,e],top:[57357,e]}},8400:{dir:q,HW:[[0.558,l]],stretch:{left:[8400,l],rep:[57358,e]}},8401:{dir:q,HW:[[0.558,l]],stretch:{rep:[57358,e],right:[8401,l]}},8406:{dir:q,HW:[[0.558,l],[0.807,k],[1.127,j],[1.878,i],[3.579,h]],stretch:{left:[8406,l],rep:[57358,e]}},8407:{dir:q,HW:[[0.558,u],[0.807,k],[1.127,j],[1.878,i],[3.579,h]],stretch:{rep:[57358,e],right:[8407,u]}},8417:{dir:q,HW:[[0.557,l]],stretch:{left:[8406,l],rep:[57358,e],right:[8407,u]}},8425:{dir:q,HW:[[0.63,l]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},8430:{dir:q,HW:[[0.557,l]],stretch:{left:[8430,l],rep:[57362,e]}},8431:{dir:q,HW:[[0.557,l]],stretch:{rep:[57362,e],right:[8431,l]}},8617:{dir:q,HW:[[0.884,u]],stretch:{left:[57363,e],rep:[9135,t],right:[57370,e]}},8618:{dir:q,HW:[[0.884,u]],stretch:{left:[57371,e],rep:[9135,t],right:[57367,e]}},8720:{dir:d,HW:[[0.937,B],[1.349,k],[1.942,j],[2.797,i]]},8721:{dir:d,HW:[[0.93,B],[1.339,k],[1.928,j],[2.776,i]]},8745:{dir:d,HW:[[0.603,u],[1.559,k],[2.245,j],[2.588,i]]},8747:{dir:d,HW:[[1.327,u],[1.964,k],[2.711,j],[3.47,i]],stretch:{bot:[8993,t],ext:[9134,t],top:[8992,t]}},8748:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8749:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8750:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8751:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8752:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8753:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8754:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8755:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8896:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},8897:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},8898:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},8899:{dir:d,HW:[[0.939,B],[1.559,k],[2.245,j],[2.588,i]]},9140:{dir:q,HW:[[0.602,u],[0.978,k],[1.353,j],[1.69,i]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},9141:{dir:q,HW:[[0.602,u],[0.978,k],[1.353,j],[1.69,i]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},9180:{dir:q,HW:[[0.942,u],[0.973,k],[1.349,j],[1.686,i]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},9181:{dir:q,HW:[[0.942,u],[0.973,k],[1.349,j],[1.686,i]],stretch:{left:[57385,e],rep:[57386,e],right:[57387,e]}},9184:{dir:q,HW:[[0.9,u],[1.36,k],[2.056,j],[3.108,i]]},9185:{dir:q,HW:[[0.9,u],[1.36,k],[2.056,j],[3.108,i]]},10214:{dir:d,HW:[[0.91,t],[1.025,k],[1.535,j],[2.045,i],[2.556,h]]},10215:{dir:d,HW:[[0.91,t],[1.025,k],[1.535,j],[2.045,i],[2.556,h]]},10218:{dir:d,HW:[[0.885,t],[1.021,k],[2.042,j],[2.552,i]]},10219:{dir:d,HW:[[0.885,t],[1.021,k],[2.042,j],[2.552,i]]},10748:{dir:d,HW:[[0.953,t],[1.372,k],[1.893,j],[2.366,i]]},10749:{dir:d,HW:[[0.953,t],[1.372,k],[1.893,j],[2.366,i]]},10752:{dir:d,HW:[[1.146,B],[1.65,k],[2.376,j]]},10753:{dir:d,HW:[[1.149,B],[1.65,k],[2.376,j]]},10754:{dir:d,HW:[[1.149,B],[1.65,k],[2.376,j]]},10755:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10756:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10757:{dir:d,HW:[[0.926,B],[1.537,k],[2.552,j]]},10758:{dir:d,HW:[[0.926,B],[1.537,k],[2.552,j]]},10759:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10760:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10761:{dir:d,HW:[[0.926,B],[1.333,k],[1.92,j]]},10764:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10765:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10766:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10767:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10768:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10769:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10770:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10771:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10772:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10773:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10774:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10775:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10776:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10777:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10778:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10779:{dir:d,HW:[[1.436,B],[2.125,k],[2.933,j],[3.754,i]]},10780:{dir:d,HW:[[1.436,B],[2.125,k],[2.933,j],[3.754,i]]}};for(var s in C){if(C.hasOwnProperty(s)){o[s]=C[s]}}MathJax.Ajax.loadComplete(p.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(p){var z="2.7.9";var o=p.FONTDATA.DELIMITERS;var q="H",d="V";var c="AsanaMathJax_Alphabets",v="AsanaMathJax_Arrows",x="AsanaMathJax_DoubleStruck",A="AsanaMathJax_Fraktur",g="AsanaMathJax_Latin",u="AsanaMathJax_Main",l="AsanaMathJax_Marks",w="AsanaMathJax_Misc",D="AsanaMathJax_Monospace",y="AsanaMathJax_NonUnicode",r="AsanaMathJax_Normal",B="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",n="AsanaMathJax_Script",b="AsanaMathJax_Shapes",k="AsanaMathJax_Size1",j="AsanaMathJax_Size2",i="AsanaMathJax_Size3",h="AsanaMathJax_Size4",f="AsanaMathJax_Size5",e="AsanaMathJax_Size6",t="AsanaMathJax_Symbols",m="AsanaMathJax_Variants";var C={774:{dir:q,HW:[[0.282,u],[0.384,k],[0.542,j],[0.922,i],[1.762,h]]},819:{dir:q,HW:[[0.433,l],[0.511,k],[0.675,j],[1.127,i]],stretch:{rep:[57347,e],right:[57347,e]}},831:{dir:q,HW:[[0.433,l],[0.511,k],[0.675,j],[1.127,i]],stretch:{rep:[57348,e],right:[57348,e]}},8261:{dir:d,HW:[[0.91,l],[1.344,k],[1.862,j],[2.328,i]],stretch:{bot:[57350,e],ext:[57351,e],mid:[57352,e],top:[57353,e]}},8262:{dir:d,HW:[[0.91,l],[1.344,k],[1.862,j],[2.328,i]],stretch:{bot:[57354,e],ext:[57355,e],mid:[57356,e],top:[57357,e]}},8400:{dir:q,HW:[[0.558,l]],stretch:{left:[8400,l],rep:[57358,e]}},8401:{dir:q,HW:[[0.558,l]],stretch:{rep:[57358,e],right:[8401,l]}},8406:{dir:q,HW:[[0.558,l],[0.807,k],[1.127,j],[1.878,i],[3.579,h]],stretch:{left:[8406,l],rep:[57358,e]}},8407:{dir:q,HW:[[0.558,u],[0.807,k],[1.127,j],[1.878,i],[3.579,h]],stretch:{rep:[57358,e],right:[8407,u]}},8417:{dir:q,HW:[[0.557,l]],stretch:{left:[8406,l],rep:[57358,e],right:[8407,u]}},8425:{dir:q,HW:[[0.63,l]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},8430:{dir:q,HW:[[0.557,l]],stretch:{left:[8430,l],rep:[57362,e]}},8431:{dir:q,HW:[[0.557,l]],stretch:{rep:[57362,e],right:[8431,l]}},8617:{dir:q,HW:[[0.884,u]],stretch:{left:[57363,e],rep:[9135,t],right:[57370,e]}},8618:{dir:q,HW:[[0.884,u]],stretch:{left:[57371,e],rep:[9135,t],right:[57367,e]}},8720:{dir:d,HW:[[0.937,B],[1.349,k],[1.942,j],[2.797,i]]},8721:{dir:d,HW:[[0.93,B],[1.339,k],[1.928,j],[2.776,i]]},8745:{dir:d,HW:[[0.603,u],[1.559,k],[2.245,j],[2.588,i]]},8747:{dir:d,HW:[[1.327,u],[1.964,k],[2.711,j],[3.47,i]],stretch:{bot:[8993,t],ext:[9134,t],top:[8992,t]}},8748:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8749:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8750:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8751:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8752:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8753:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8754:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8755:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},8896:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},8897:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},8898:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},8899:{dir:d,HW:[[0.939,B],[1.559,k],[2.245,j],[2.588,i]]},9140:{dir:q,HW:[[0.602,u],[0.978,k],[1.353,j],[1.69,i]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},9141:{dir:q,HW:[[0.602,u],[0.978,k],[1.353,j],[1.69,i]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},9180:{dir:q,HW:[[0.942,u],[0.973,k],[1.349,j],[1.686,i]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},9181:{dir:q,HW:[[0.942,u],[0.973,k],[1.349,j],[1.686,i]],stretch:{left:[57385,e],rep:[57386,e],right:[57387,e]}},9184:{dir:q,HW:[[0.9,u],[1.36,k],[2.056,j],[3.108,i]]},9185:{dir:q,HW:[[0.9,u],[1.36,k],[2.056,j],[3.108,i]]},10214:{dir:d,HW:[[0.91,t],[1.025,k],[1.535,j],[2.045,i],[2.556,h]]},10215:{dir:d,HW:[[0.91,t],[1.025,k],[1.535,j],[2.045,i],[2.556,h]]},10218:{dir:d,HW:[[0.885,t],[1.021,k],[2.042,j],[2.552,i]]},10219:{dir:d,HW:[[0.885,t],[1.021,k],[2.042,j],[2.552,i]]},10748:{dir:d,HW:[[0.953,t],[1.372,k],[1.893,j],[2.366,i]]},10749:{dir:d,HW:[[0.953,t],[1.372,k],[1.893,j],[2.366,i]]},10752:{dir:d,HW:[[1.146,B],[1.65,k],[2.376,j]]},10753:{dir:d,HW:[[1.149,B],[1.65,k],[2.376,j]]},10754:{dir:d,HW:[[1.149,B],[1.65,k],[2.376,j]]},10755:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10756:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10757:{dir:d,HW:[[0.926,B],[1.537,k],[2.552,j]]},10758:{dir:d,HW:[[0.926,B],[1.537,k],[2.552,j]]},10759:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10760:{dir:d,HW:[[0.939,B],[1.559,k],[2.588,j]]},10761:{dir:d,HW:[[0.926,B],[1.333,k],[1.92,j]]},10764:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10765:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10766:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10767:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10768:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10769:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10770:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10771:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10772:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10773:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10774:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10775:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10776:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10777:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10778:{dir:d,HW:[[1.327,B],[1.964,k],[2.711,j],[3.47,i]]},10779:{dir:d,HW:[[1.436,B],[2.125,k],[2.933,j],[3.754,i]]},10780:{dir:d,HW:[[1.436,B],[2.125,k],[2.933,j],[3.754,i]]}};for(var s in C){if(C.hasOwnProperty(s)){o[s]=C[s]}}MathJax.Ajax.loadComplete(p.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js b/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js
index cd63e0eb9e..b057dc71ce 100644
--- a/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(q,e,D){var A="2.7.6";var c="AsanaMathJax_Alphabets",w="AsanaMathJax_Arrows",y="AsanaMathJax_DoubleStruck",B="AsanaMathJax_Fraktur",h="AsanaMathJax_Latin",v="AsanaMathJax_Main",n="AsanaMathJax_Marks",x="AsanaMathJax_Misc",E="AsanaMathJax_Monospace",z="AsanaMathJax_NonUnicode",s="AsanaMathJax_Normal",C="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",p="AsanaMathJax_Script",b="AsanaMathJax_Shapes",m="AsanaMathJax_Size1",l="AsanaMathJax_Size2",k="AsanaMathJax_Size3",i="AsanaMathJax_Size4",g="AsanaMathJax_Size5",f="AsanaMathJax_Size6",u="AsanaMathJax_Symbols",o="AsanaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};q.Augment({FONTDATA:{version:A,TeX_factor:1.058,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{AsanaMathJax_Alphabets:"Alphabets/Regular/Main.js",AsanaMathJax_Arrows:"Arrows/Regular/Main.js",AsanaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",AsanaMathJax_Fraktur:"Fraktur/Regular/Main.js",AsanaMathJax_Latin:"Latin/Regular/Main.js",AsanaMathJax_Main:"Main/Regular/Main.js",AsanaMathJax_Marks:"Marks/Regular/Main.js",AsanaMathJax_Misc:"Misc/Regular/Main.js",AsanaMathJax_Monospace:"Monospace/Regular/Main.js",AsanaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",AsanaMathJax_Normal:"Normal/Regular/Main.js",AsanaMathJax_Operators:"Operators/Regular/Main.js",AsanaMathJax_SansSerif:"SansSerif/Regular/Main.js",AsanaMathJax_Script:"Script/Regular/Main.js",AsanaMathJax_Shapes:"Shapes/Regular/Main.js",AsanaMathJax_Size1:"Size1/Regular/Main.js",AsanaMathJax_Size2:"Size2/Regular/Main.js",AsanaMathJax_Size3:"Size3/Regular/Main.js",AsanaMathJax_Size4:"Size4/Regular/Main.js",AsanaMathJax_Size5:"Size5/Regular/Main.js",AsanaMathJax_Size6:"Size6/Regular/Main.js",AsanaMathJax_Symbols:"Symbols/Regular/Main.js",AsanaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},bold:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[B],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[B],bold:true,offsetA:120172},script:{fonts:[p],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[p],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[E],offsetA:120432,offsetN:120822},"-Asana-Math-variant":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},"-tex-caligraphic":{offsetA:57866,noLowerCase:1,fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m]},"-tex-caligraphic-bold":{offsetA:57892,noLowerCase:1,fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true},"-tex-mathit":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,9667:9665,65080:9183,12296:10216,12297:10217,9642:9632,175:772,8432:42,10072:8739,978:933,9652:9650,9653:9651,65079:9182,9656:9654,697:8242,9662:9660,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.941,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[0.941,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{alias:8260,dir:r},61:{dir:r,HW:[[0.539,v]],stretch:{rep:[61,v]}},91:{dir:d,HW:[[0.91,v],[1.476,m],[2.045,l],[2.556,k],[2.615,k,1.023]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[0.883,v],[1.27,v,1.439],[1.719,v,1.946],[2.167,v,2.454],[2.615,v,2.961]]},93:{dir:d,HW:[[0.91,v],[1.476,m],[2.045,l],[2.556,k],[2.615,k,1.023]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[0.901,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9129,u],ext:[9130,u],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[0.885,v],[1.275,m],[1.555,l],[1.897,k],[2.315,i],[2.712,g],[3.177,f]],stretch:{ext:[57344,f],top:[57344,f]}},125:{dir:d,HW:[[0.901,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9133,u],ext:[9130,u],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:8722,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[0.312,v],[0.453,m],[0.633,l],[1.055,k],[2.017,i],[3.026,g]]},771:{dir:r,HW:[[0.33,v],[0.701,m],[1.053,l],[1.403,k],[1.865,i],[2.797,g]]},773:{dir:r,HW:[[0.433,n],[0.511,m],[0.675,l],[1.127,k]],stretch:{rep:[57345,f],right:[57345,f]}},774:t,780:{dir:r,HW:[[0.312,v],[0.737,m],[1.105,l],[1.474,k],[1.96,i],[2.94,g]]},818:{dir:r,HW:[[0.433,n],[0.511,m],[0.675,l],[1.127,k]],stretch:{rep:[57346,f],right:[57346,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[0.885,v],[1.275,m],[1.555,l],[1.897,k],[2.315,i]],stretch:{ext:[57349,f],top:[57349,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[0.837,v],[1.205,m],[1.471,l],[1.795,k],[2.189,i],[2.615,i,1.195]]},8261:j,8262:j,8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8430:t,8431:t,8592:{dir:r,HW:[[0.884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57364,f]}},8593:{dir:d,HW:[[0.885,v]],stretch:{ext:[57365,f],top:[8593,v]}},8594:{dir:r,HW:[[0.884,v]],stretch:{left:[57366,f],rep:[9135,u],right:[57367,f]}},8595:{dir:d,HW:[[0.885,v]],stretch:{bot:[8595,v],ext:[57365,f]}},8596:{dir:r,HW:[[0.884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57367,f]}},8597:{dir:d,HW:[[0.884,v]],stretch:{top:[8593,v],ext:[57365,f],bot:[8595,v]}},8612:{dir:r,HW:[[0.942,w]],stretch:{left:[57363,f],rep:[9135,u],right:[57368,f]}},8614:{dir:r,HW:[[0.942,v]],stretch:{left:[57369,f],rep:[9135,u],right:[57367,f]}},8617:t,8618:t,8656:{dir:r,HW:[[0.884,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57374,f]}},8657:{dir:d,HW:[[0.885,v]],stretch:{ext:[57375,f],top:[8657,v]}},8658:{dir:r,HW:[[0.884,v]],stretch:{left:[57376,f],rep:[57373,f],right:[57377,f]}},8659:{dir:d,HW:[[0.885,v]],stretch:{bot:[8659,v],ext:[57375,f]}},8660:{dir:r,HW:[[0.895,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57377,f]}},8661:{dir:d,HW:[[0.884,v,null,8597]],stretch:{top:[8657,v],ext:[57375,f],bot:[8659,v]}},8719:{dir:d,HW:[[0.937,C],[1.349,m],[1.942,l],[2.797,k]]},8720:j,8721:j,8722:{dir:r,HW:[],stretch:{rep:[8722,v,0,0,0,-0.23,-0.23]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1.138,v],[1.28,m],[1.912,l],[2.543,k],[3.175,i]],stretch:{bot:[9143,u],ext:[8403,n],top:[57378,f]}},8739:{dir:d,HW:[[0.885,v]],stretch:{ext:[8739,v],top:[8739,v]}},8741:{dir:d,HW:[[0.885,v]],stretch:{ext:[8741,v],top:[8741,v]}},8745:j,8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{alias:10216,dir:d},9002:{alias:10217,dir:d},9130:{dir:d,HW:[[0.688,u]],stretch:{ext:[9130,u]}},9135:{dir:r,HW:[[0.638,u]],stretch:{rep:[9135,u]}},9136:{alias:10182,dir:d},9137:{alias:10181,dir:d},9140:t,9141:t,9168:{dir:d,HW:[[0.885,v,null,124],[1.27,v,1.435,124],[1.719,v,1.942,124],[2.167,v,2.448,124],[2.615,v,2.955,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[0.902,v],[1.471,m],[2.041,l],[2.552,k]],stretch:{left:[57382,f],rep:[57383,f],mid:[57388,f],right:[57384,f]}},9183:{dir:r,HW:[[0.902,v],[1.471,m],[2.041,l],[2.552,k]],stretch:{left:[57385,f],rep:[57386,f],mid:[57389,f],right:[57387,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10072:{alias:8739,dir:d},10181:{dir:d,HW:[[0.91,u],[1.021,m],[1.531,l],[2.041,k],[2.552,i],[3.063,g]]},10182:{dir:d,HW:[[0.91,u],[1.021,m],[1.531,l],[2.041,k],[2.552,i],[3.063,g]]},10214:j,10215:j,10216:{dir:d,HW:[[0.885,v],[1.021,m],[1.27,m,1.244],[2.042,l],[2.552,k],[2.615,k,1.025]]},10217:{dir:d,HW:[[0.885,v],[1.021,m],[1.27,m,1.244],[2.042,l],[2.552,k],[2.615,k,1.025]]},10218:j,10219:j,10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[0.884,w]],stretch:{left:[57372,f],rep:[57373,f],right:[57390,f]}},10503:{dir:r,HW:[[0.884,w]],stretch:{left:[57391,f],rep:[57373,f],right:[57377,f]}},10748:j,10749:j,10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10759:j,10760:j,10761:j,10764:j,10765:j,10766:j,10767:j,10768:j,10769:j,10770:j,10771:j,10772:j,10773:j,10774:j,10775:j,10776:j,10777:j,10778:j,10779:j,10780:j,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(q.fontDir+"/Main/Regular/Main.js",function(){q.FONTDATA.FONTS[v][8722][0]=q.FONTDATA.FONTS[v][43][0];q.FONTDATA.FONTS[v][8722][1]=q.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size6/Regular/Main.js",function(){var F;F=q.FONTDATA.DELIMITERS[9182].stretch.rep[0];q.FONTDATA.FONTS[f][F][0]+=100;q.FONTDATA.FONTS[f][F][1]+=100;F=q.FONTDATA.DELIMITERS[9183].stretch.rep[0];q.FONTDATA.FONTS[f][F][0]+=100;q.FONTDATA.FONTS[f][F][1]+=100});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size1/Regular/Main.js",function(){var F;q.FONTDATA.FONTS[m][8747][2]-=300;q.FONTDATA.FONTS[m][8747][5]={rfix:-300};for(F=8748;F<=8755;F++){q.FONTDATA.FONTS[m][F][2]-=420;q.FONTDATA.FONTS[m][F][5]={rfix:-420}}for(F=10764;F<=10780;F++){q.FONTDATA.FONTS[m][F][2]-=420;q.FONTDATA.FONTS[m][F][5]={rfix:-420}}});D.loadComplete(q.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(q,e,D){var A="2.7.9";var c="AsanaMathJax_Alphabets",w="AsanaMathJax_Arrows",y="AsanaMathJax_DoubleStruck",B="AsanaMathJax_Fraktur",h="AsanaMathJax_Latin",v="AsanaMathJax_Main",n="AsanaMathJax_Marks",x="AsanaMathJax_Misc",E="AsanaMathJax_Monospace",z="AsanaMathJax_NonUnicode",s="AsanaMathJax_Normal",C="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",p="AsanaMathJax_Script",b="AsanaMathJax_Shapes",m="AsanaMathJax_Size1",l="AsanaMathJax_Size2",k="AsanaMathJax_Size3",i="AsanaMathJax_Size4",g="AsanaMathJax_Size5",f="AsanaMathJax_Size6",u="AsanaMathJax_Symbols",o="AsanaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};q.Augment({FONTDATA:{version:A,TeX_factor:1.058,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{AsanaMathJax_Alphabets:"Alphabets/Regular/Main.js",AsanaMathJax_Arrows:"Arrows/Regular/Main.js",AsanaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",AsanaMathJax_Fraktur:"Fraktur/Regular/Main.js",AsanaMathJax_Latin:"Latin/Regular/Main.js",AsanaMathJax_Main:"Main/Regular/Main.js",AsanaMathJax_Marks:"Marks/Regular/Main.js",AsanaMathJax_Misc:"Misc/Regular/Main.js",AsanaMathJax_Monospace:"Monospace/Regular/Main.js",AsanaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",AsanaMathJax_Normal:"Normal/Regular/Main.js",AsanaMathJax_Operators:"Operators/Regular/Main.js",AsanaMathJax_SansSerif:"SansSerif/Regular/Main.js",AsanaMathJax_Script:"Script/Regular/Main.js",AsanaMathJax_Shapes:"Shapes/Regular/Main.js",AsanaMathJax_Size1:"Size1/Regular/Main.js",AsanaMathJax_Size2:"Size2/Regular/Main.js",AsanaMathJax_Size3:"Size3/Regular/Main.js",AsanaMathJax_Size4:"Size4/Regular/Main.js",AsanaMathJax_Size5:"Size5/Regular/Main.js",AsanaMathJax_Size6:"Size6/Regular/Main.js",AsanaMathJax_Symbols:"Symbols/Regular/Main.js",AsanaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},bold:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[B],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[B],bold:true,offsetA:120172},script:{fonts:[p],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[p],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[E],offsetA:120432,offsetN:120822},"-Asana-Math-variant":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},"-tex-caligraphic":{offsetA:57866,noLowerCase:1,fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m]},"-tex-caligraphic-bold":{offsetA:57892,noLowerCase:1,fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true},"-tex-mathit":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,9667:9665,65080:9183,12296:10216,12297:10217,9642:9632,175:772,8432:42,10072:8739,978:933,9652:9650,9653:9651,65079:9182,9656:9654,697:8242,9662:9660,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.941,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[0.941,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{alias:8260,dir:r},61:{dir:r,HW:[[0.539,v]],stretch:{rep:[61,v]}},91:{dir:d,HW:[[0.91,v],[1.476,m],[2.045,l],[2.556,k],[2.615,k,1.023]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[0.883,v],[1.27,v,1.439],[1.719,v,1.946],[2.167,v,2.454],[2.615,v,2.961]]},93:{dir:d,HW:[[0.91,v],[1.476,m],[2.045,l],[2.556,k],[2.615,k,1.023]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[0.901,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9129,u],ext:[9130,u],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[0.885,v],[1.275,m],[1.555,l],[1.897,k],[2.315,i],[2.712,g],[3.177,f]],stretch:{ext:[57344,f],top:[57344,f]}},125:{dir:d,HW:[[0.901,v],[1.471,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9133,u],ext:[9130,u],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:8722,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[0.312,v],[0.453,m],[0.633,l],[1.055,k],[2.017,i],[3.026,g]]},771:{dir:r,HW:[[0.33,v],[0.701,m],[1.053,l],[1.403,k],[1.865,i],[2.797,g]]},773:{dir:r,HW:[[0.433,n],[0.511,m],[0.675,l],[1.127,k]],stretch:{rep:[57345,f],right:[57345,f]}},774:t,780:{dir:r,HW:[[0.312,v],[0.737,m],[1.105,l],[1.474,k],[1.96,i],[2.94,g]]},818:{dir:r,HW:[[0.433,n],[0.511,m],[0.675,l],[1.127,k]],stretch:{rep:[57346,f],right:[57346,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[0.885,v],[1.275,m],[1.555,l],[1.897,k],[2.315,i]],stretch:{ext:[57349,f],top:[57349,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[0.837,v],[1.205,m],[1.471,l],[1.795,k],[2.189,i],[2.615,i,1.195]]},8261:j,8262:j,8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8430:t,8431:t,8592:{dir:r,HW:[[0.884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57364,f]}},8593:{dir:d,HW:[[0.885,v]],stretch:{ext:[57365,f],top:[8593,v]}},8594:{dir:r,HW:[[0.884,v]],stretch:{left:[57366,f],rep:[9135,u],right:[57367,f]}},8595:{dir:d,HW:[[0.885,v]],stretch:{bot:[8595,v],ext:[57365,f]}},8596:{dir:r,HW:[[0.884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57367,f]}},8597:{dir:d,HW:[[0.884,v]],stretch:{top:[8593,v],ext:[57365,f],bot:[8595,v]}},8612:{dir:r,HW:[[0.942,w]],stretch:{left:[57363,f],rep:[9135,u],right:[57368,f]}},8614:{dir:r,HW:[[0.942,v]],stretch:{left:[57369,f],rep:[9135,u],right:[57367,f]}},8617:t,8618:t,8656:{dir:r,HW:[[0.884,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57374,f]}},8657:{dir:d,HW:[[0.885,v]],stretch:{ext:[57375,f],top:[8657,v]}},8658:{dir:r,HW:[[0.884,v]],stretch:{left:[57376,f],rep:[57373,f],right:[57377,f]}},8659:{dir:d,HW:[[0.885,v]],stretch:{bot:[8659,v],ext:[57375,f]}},8660:{dir:r,HW:[[0.895,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57377,f]}},8661:{dir:d,HW:[[0.884,v,null,8597]],stretch:{top:[8657,v],ext:[57375,f],bot:[8659,v]}},8719:{dir:d,HW:[[0.937,C],[1.349,m],[1.942,l],[2.797,k]]},8720:j,8721:j,8722:{dir:r,HW:[],stretch:{rep:[8722,v,0,0,0,-0.23,-0.23]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1.138,v],[1.28,m],[1.912,l],[2.543,k],[3.175,i]],stretch:{bot:[9143,u],ext:[8403,n],top:[57378,f]}},8739:{dir:d,HW:[[0.885,v]],stretch:{ext:[8739,v],top:[8739,v]}},8741:{dir:d,HW:[[0.885,v]],stretch:{ext:[8741,v],top:[8741,v]}},8745:j,8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[0.885,v],[1.47,m],[2.041,l],[2.552,k],[2.615,k,1.025]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{alias:10216,dir:d},9002:{alias:10217,dir:d},9130:{dir:d,HW:[[0.688,u]],stretch:{ext:[9130,u]}},9135:{dir:r,HW:[[0.638,u]],stretch:{rep:[9135,u]}},9136:{alias:10182,dir:d},9137:{alias:10181,dir:d},9140:t,9141:t,9168:{dir:d,HW:[[0.885,v,null,124],[1.27,v,1.435,124],[1.719,v,1.942,124],[2.167,v,2.448,124],[2.615,v,2.955,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[0.902,v],[1.471,m],[2.041,l],[2.552,k]],stretch:{left:[57382,f],rep:[57383,f],mid:[57388,f],right:[57384,f]}},9183:{dir:r,HW:[[0.902,v],[1.471,m],[2.041,l],[2.552,k]],stretch:{left:[57385,f],rep:[57386,f],mid:[57389,f],right:[57387,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10072:{alias:8739,dir:d},10181:{dir:d,HW:[[0.91,u],[1.021,m],[1.531,l],[2.041,k],[2.552,i],[3.063,g]]},10182:{dir:d,HW:[[0.91,u],[1.021,m],[1.531,l],[2.041,k],[2.552,i],[3.063,g]]},10214:j,10215:j,10216:{dir:d,HW:[[0.885,v],[1.021,m],[1.27,m,1.244],[2.042,l],[2.552,k],[2.615,k,1.025]]},10217:{dir:d,HW:[[0.885,v],[1.021,m],[1.27,m,1.244],[2.042,l],[2.552,k],[2.615,k,1.025]]},10218:j,10219:j,10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[0.884,w]],stretch:{left:[57372,f],rep:[57373,f],right:[57390,f]}},10503:{dir:r,HW:[[0.884,w]],stretch:{left:[57391,f],rep:[57373,f],right:[57377,f]}},10748:j,10749:j,10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10759:j,10760:j,10761:j,10764:j,10765:j,10766:j,10767:j,10768:j,10769:j,10770:j,10771:j,10772:j,10773:j,10774:j,10775:j,10776:j,10777:j,10778:j,10779:j,10780:j,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(q.fontDir+"/Main/Regular/Main.js",function(){q.FONTDATA.FONTS[v][8722][0]=q.FONTDATA.FONTS[v][43][0];q.FONTDATA.FONTS[v][8722][1]=q.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size6/Regular/Main.js",function(){var F;F=q.FONTDATA.DELIMITERS[9182].stretch.rep[0];q.FONTDATA.FONTS[f][F][0]+=100;q.FONTDATA.FONTS[f][F][1]+=100;F=q.FONTDATA.DELIMITERS[9183].stretch.rep[0];q.FONTDATA.FONTS[f][F][0]+=100;q.FONTDATA.FONTS[f][F][1]+=100});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size1/Regular/Main.js",function(){var F;q.FONTDATA.FONTS[m][8747][2]-=300;q.FONTDATA.FONTS[m][8747][5]={rfix:-300};for(F=8748;F<=8755;F++){q.FONTDATA.FONTS[m][F][2]-=420;q.FONTDATA.FONTS[m][F][5]={rfix:-420}}for(F=10764;F<=10780;F++){q.FONTDATA.FONTS[m][F][2]-=420;q.FONTDATA.FONTS[m][F][5]={rfix:-420}}});D.loadComplete(q.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
index 07b253df53..001b6a8914 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js
index 54eab2730f..3c1e92afeb 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
index 2b702ecd36..039f9f78a8 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
index 242e500c92..b42dd3b368 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js
index e7d0b14c3b..b089b444fc 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js
index 093a52198e..dd33410eb8 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js
index 22629979dc..70b2620f12 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js
index 998a5682ee..b720fae499 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js
index dd52596e9b..b9154b3483 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
index 9e5e7ea823..825ed9b954 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js
index 318faba714..3a5cc070ce 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js
index f3ce9459ba..65604e4bb3 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
index 694a3d04b1..e68ef34904 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js
index e630818166..30965bfe0a 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js
index 3d86e105de..58e7824758 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js
index 53242abfe6..8d09cc2e07 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js
index ec0488b3ca..44a10262ac 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js
index 7795cc36f9..74c6fca0d0 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js
index 9a495f0f02..bec363a47a 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js
index ee4515b210..df8c4ebc50 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js
index 405908a296..9d44531ed7 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js
index 7681782ec3..8533db5edd 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js
index 3c3e16f735..3d8a6b2920 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js
index e84d46b69f..78911befcb 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(p){var z="2.7.6";var o=p.FONTDATA.DELIMITERS;var q="H",d="V";var c="GyrePagellaMathJax_Alphabets",v="GyrePagellaMathJax_Arrows",x="GyrePagellaMathJax_DoubleStruck",A="GyrePagellaMathJax_Fraktur",g="GyrePagellaMathJax_Latin",u="GyrePagellaMathJax_Main",l="GyrePagellaMathJax_Marks",w="GyrePagellaMathJax_Misc",D="GyrePagellaMathJax_Monospace",y="GyrePagellaMathJax_NonUnicode",r="GyrePagellaMathJax_Normal",B="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",n="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",k="GyrePagellaMathJax_Size1",j="GyrePagellaMathJax_Size2",i="GyrePagellaMathJax_Size3",h="GyrePagellaMathJax_Size4",f="GyrePagellaMathJax_Size5",e="GyrePagellaMathJax_Size6",t="GyrePagellaMathJax_Symbols",m="GyrePagellaMathJax_Variants";var C={774:{dir:q,HW:[[0.362,u],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},785:{dir:q,HW:[[0.362,l],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},812:{dir:q,HW:[[0.348,l],[0.613,k],[0.731,j],[0.874,i],[1.045,h],[1.251,f],[1.498,e]]},813:{dir:q,HW:[[0.348,l],[0.613,k],[0.731,j],[0.874,i],[1.045,h],[1.251,f],[1.498,e]]},814:{dir:q,HW:[[0.362,l],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},815:{dir:q,HW:[[0.362,l],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},816:{dir:q,HW:[[0.342,l],[0.608,k],[0.727,j],[0.87,i],[1.042,h],[1.247,f],[1.496,e]]},819:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[0.386,u],[0.51,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[0.458,l],[0.582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[0.367,l],[0.74,k],[1.113,j],[1.484,i],[1.855,h],[2.226,f],[2.593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[0.558,u],[0.876,k]]},8599:{dir:d,HW:[[0.558,u],[0.876,k]]},8600:{dir:d,HW:[[0.558,u],[0.876,k]]},8601:{dir:d,HW:[[0.558,u],[0.876,k]]},8602:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[0.835,u],[1.285,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[0.835,v],[1.285,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[0.835,u],[1.285,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[0.835,v],[1.285,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[0.76,v],[1.21,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[0.76,v],[1.21,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[0.845,u],[1.295,k]]},8622:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[0.645,u],[0.915,k]]},8625:{dir:d,HW:[[0.644,u],[0.915,k]]},8626:{dir:d,HW:[[0.645,v],[0.915,k]]},8627:{dir:d,HW:[[0.644,v],[0.915,k]]},8630:{dir:q,HW:[[0.685,u],[1.023,k]]},8631:{dir:q,HW:[[0.685,u],[1.023,k]]},8636:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[0.77,u],[1.22,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[0.77,v],[1.22,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[0.77,u],[1.22,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[0.769,u],[1.219,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[0.769,u],[1.219,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[0.622,v],[0.94,k]]},8663:{dir:d,HW:[[0.622,v],[0.94,k]]},8664:{dir:d,HW:[[0.622,v],[0.94,k]]},8665:{dir:d,HW:[[0.622,v],[0.94,k]]},8666:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[0.76,v],[1.21,k]]},8669:{dir:q,HW:[[0.76,u],[1.21,k]]},8678:{dir:q,HW:[[0.887,v],[1.337,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[0.887,v],[1.337,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[0.887,v],[1.337,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[0.887,v],[1.337,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[0.91,v],[1.36,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[0.77,v],[1.22,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[0.76,v],[1.21,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1,B],[1.442,k]]},8720:{dir:d,HW:[[1,B],[1.442,k]]},8721:{dir:d,HW:[[1,B],[1.442,k]]},8747:{dir:d,HW:[[1.092,u],[2.026,k]],stretch:{top:[57656,e],ext:[9134,t],bot:[57657,e]}},8748:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8749:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57661,e],ext:[57662,e],bot:[57663,e]}},8750:{dir:d,HW:[[1.092,B,null,8751],[2.026,k]]},8751:{dir:d,HW:[[1.092,B],[2.026,k]]},8752:{dir:d,HW:[[1.092,B],[2.026,k]]},8753:{dir:d,HW:[[1.092,B],[2.026,k]]},8754:{dir:d,HW:[[1.092,B],[2.026,k]]},8755:{dir:d,HW:[[1.092,B],[2.026,k]]},8801:{dir:q,HW:[[0.6,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[0.6,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[0.65,u],[0.8,k]]},8867:{dir:d,HW:[[0.65,u],[0.8,k]]},8868:{dir:d,HW:[[0.65,u],[0.8,k]]},8869:{dir:d,HW:[[0.65,u],[0.8,k]]},8896:{dir:d,HW:[[0.974,B],[1.411,k]]},8897:{dir:d,HW:[[0.974,B],[1.411,k]]},8898:{dir:d,HW:[[0.978,B],[1.402,k]]},8899:{dir:d,HW:[[0.978,B],[1.402,k]]},9140:{dir:q,HW:[[0.367,u],[0.74,k],[1.113,j],[1.484,i],[1.855,h],[2.226,f],[2.593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[0.367,u],[0.74,k],[1.113,j],[1.484,i],[1.855,h],[2.226,f],[2.593,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[0.528,u],[1.028,k],[1.528,j],[2.028,i],[2.528,h],[3.028,f],[3.528,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[0.528,u],[1.028,k],[1.528,j],[2.028,i],[2.528,h],[3.028,f],[3.528,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[0.56,u],[1.064,k],[1.566,j],[2.07,i],[2.572,h],[3.076,f],[3.58,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[0.56,u],[1.064,k],[1.566,j],[2.07,i],[2.572,h],[3.076,f],[3.58,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[0.835,w],[1.285,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[0.84,t],[1,k],[1.192,j],[1.422,i],[1.698,h],[2.03,f],[2.428,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[0.84,t],[1,k],[1.192,j],[1.422,i],[1.698,h],[2.03,f],[2.428,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[0.816,t],[1.062,k],[1.386,j],[1.81,i],[2.366,h],[3.095,f],[4.05,e]]},10219:{dir:d,HW:[[0.816,t],[1.062,k],[1.386,j],[1.81,i],[2.366,h],[3.095,f],[4.05,e]]},10752:{dir:d,HW:[[0.916,B],[1.188,k]]},10753:{dir:d,HW:[[0.916,B],[1.188,k]]},10754:{dir:d,HW:[[0.916,B],[1.188,k]]},10755:{dir:d,HW:[[0.978,B],[1.402,k]]},10756:{dir:d,HW:[[0.978,B],[1.402,k]]},10757:{dir:d,HW:[[0.96,B],[1.384,k]]},10758:{dir:d,HW:[[0.96,B],[1.384,k]]},10761:{dir:d,HW:[[0.77,B],[0.974,k]]},10764:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57653,e],ext:[57654,e],bot:[57655,e]}},10769:{dir:d,HW:[[1.092,B],[2.026,k]]},11012:{dir:q,HW:[[0.909,b],[1.359,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[0.835,b],[1.285,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[0.835,b],[1.285,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[0.835,b],[1.285,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[0.845,b],[1.295,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[0.845,b],[1.295,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[0.76,b],[1.21,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in C){if(C.hasOwnProperty(s)){o[s]=C[s]}}MathJax.Ajax.loadComplete(p.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(p){var z="2.7.9";var o=p.FONTDATA.DELIMITERS;var q="H",d="V";var c="GyrePagellaMathJax_Alphabets",v="GyrePagellaMathJax_Arrows",x="GyrePagellaMathJax_DoubleStruck",A="GyrePagellaMathJax_Fraktur",g="GyrePagellaMathJax_Latin",u="GyrePagellaMathJax_Main",l="GyrePagellaMathJax_Marks",w="GyrePagellaMathJax_Misc",D="GyrePagellaMathJax_Monospace",y="GyrePagellaMathJax_NonUnicode",r="GyrePagellaMathJax_Normal",B="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",n="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",k="GyrePagellaMathJax_Size1",j="GyrePagellaMathJax_Size2",i="GyrePagellaMathJax_Size3",h="GyrePagellaMathJax_Size4",f="GyrePagellaMathJax_Size5",e="GyrePagellaMathJax_Size6",t="GyrePagellaMathJax_Symbols",m="GyrePagellaMathJax_Variants";var C={774:{dir:q,HW:[[0.362,u],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},785:{dir:q,HW:[[0.362,l],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},812:{dir:q,HW:[[0.348,l],[0.613,k],[0.731,j],[0.874,i],[1.045,h],[1.251,f],[1.498,e]]},813:{dir:q,HW:[[0.348,l],[0.613,k],[0.731,j],[0.874,i],[1.045,h],[1.251,f],[1.498,e]]},814:{dir:q,HW:[[0.362,l],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},815:{dir:q,HW:[[0.362,l],[0.631,k],[0.752,j],[0.897,i],[1.07,h],[1.279,f],[1.528,e]]},816:{dir:q,HW:[[0.342,l],[0.608,k],[0.727,j],[0.87,i],[1.042,h],[1.247,f],[1.496,e]]},819:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[0.386,u],[0.51,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[0.458,l],[0.582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[0.367,l],[0.74,k],[1.113,j],[1.484,i],[1.855,h],[2.226,f],[2.593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[0.384,l],[0.51,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[0.558,u],[0.876,k]]},8599:{dir:d,HW:[[0.558,u],[0.876,k]]},8600:{dir:d,HW:[[0.558,u],[0.876,k]]},8601:{dir:d,HW:[[0.558,u],[0.876,k]]},8602:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[0.835,u],[1.285,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[0.835,v],[1.285,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[0.835,u],[1.285,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[0.835,v],[1.285,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[0.76,v],[1.21,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[0.76,v],[1.21,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[0.79,u],[1.24,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[0.845,u],[1.295,k]]},8622:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[0.645,u],[0.915,k]]},8625:{dir:d,HW:[[0.644,u],[0.915,k]]},8626:{dir:d,HW:[[0.645,v],[0.915,k]]},8627:{dir:d,HW:[[0.644,v],[0.915,k]]},8630:{dir:q,HW:[[0.685,u],[1.023,k]]},8631:{dir:q,HW:[[0.685,u],[1.023,k]]},8636:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[0.77,u],[1.22,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[0.77,v],[1.22,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[0.77,u],[1.22,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[0.76,u],[1.21,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[0.769,u],[1.219,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[0.769,u],[1.219,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[0.845,u],[1.295,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[0.622,v],[0.94,k]]},8663:{dir:d,HW:[[0.622,v],[0.94,k]]},8664:{dir:d,HW:[[0.622,v],[0.94,k]]},8665:{dir:d,HW:[[0.622,v],[0.94,k]]},8666:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[0.76,u],[1.21,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[0.76,v],[1.21,k]]},8669:{dir:q,HW:[[0.76,u],[1.21,k]]},8678:{dir:q,HW:[[0.887,v],[1.337,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[0.887,v],[1.337,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[0.887,v],[1.337,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[0.887,v],[1.337,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[0.91,v],[1.36,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[0.77,v],[1.22,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[0.76,v],[1.21,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1,B],[1.442,k]]},8720:{dir:d,HW:[[1,B],[1.442,k]]},8721:{dir:d,HW:[[1,B],[1.442,k]]},8747:{dir:d,HW:[[1.092,u],[2.026,k]],stretch:{top:[57656,e],ext:[9134,t],bot:[57657,e]}},8748:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8749:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57661,e],ext:[57662,e],bot:[57663,e]}},8750:{dir:d,HW:[[1.092,B,null,8751],[2.026,k]]},8751:{dir:d,HW:[[1.092,B],[2.026,k]]},8752:{dir:d,HW:[[1.092,B],[2.026,k]]},8753:{dir:d,HW:[[1.092,B],[2.026,k]]},8754:{dir:d,HW:[[1.092,B],[2.026,k]]},8755:{dir:d,HW:[[1.092,B],[2.026,k]]},8801:{dir:q,HW:[[0.6,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[0.6,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[0.65,u],[0.8,k]]},8867:{dir:d,HW:[[0.65,u],[0.8,k]]},8868:{dir:d,HW:[[0.65,u],[0.8,k]]},8869:{dir:d,HW:[[0.65,u],[0.8,k]]},8896:{dir:d,HW:[[0.974,B],[1.411,k]]},8897:{dir:d,HW:[[0.974,B],[1.411,k]]},8898:{dir:d,HW:[[0.978,B],[1.402,k]]},8899:{dir:d,HW:[[0.978,B],[1.402,k]]},9140:{dir:q,HW:[[0.367,u],[0.74,k],[1.113,j],[1.484,i],[1.855,h],[2.226,f],[2.593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[0.367,u],[0.74,k],[1.113,j],[1.484,i],[1.855,h],[2.226,f],[2.593,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[0.528,u],[1.028,k],[1.528,j],[2.028,i],[2.528,h],[3.028,f],[3.528,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[0.528,u],[1.028,k],[1.528,j],[2.028,i],[2.528,h],[3.028,f],[3.528,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[0.56,u],[1.064,k],[1.566,j],[2.07,i],[2.572,h],[3.076,f],[3.58,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[0.56,u],[1.064,k],[1.566,j],[2.07,i],[2.572,h],[3.076,f],[3.58,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[0.835,w],[1.285,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[0.84,t],[1,k],[1.192,j],[1.422,i],[1.698,h],[2.03,f],[2.428,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[0.84,t],[1,k],[1.192,j],[1.422,i],[1.698,h],[2.03,f],[2.428,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[0.816,t],[1.062,k],[1.386,j],[1.81,i],[2.366,h],[3.095,f],[4.05,e]]},10219:{dir:d,HW:[[0.816,t],[1.062,k],[1.386,j],[1.81,i],[2.366,h],[3.095,f],[4.05,e]]},10752:{dir:d,HW:[[0.916,B],[1.188,k]]},10753:{dir:d,HW:[[0.916,B],[1.188,k]]},10754:{dir:d,HW:[[0.916,B],[1.188,k]]},10755:{dir:d,HW:[[0.978,B],[1.402,k]]},10756:{dir:d,HW:[[0.978,B],[1.402,k]]},10757:{dir:d,HW:[[0.96,B],[1.384,k]]},10758:{dir:d,HW:[[0.96,B],[1.384,k]]},10761:{dir:d,HW:[[0.77,B],[0.974,k]]},10764:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57653,e],ext:[57654,e],bot:[57655,e]}},10769:{dir:d,HW:[[1.092,B],[2.026,k]]},11012:{dir:q,HW:[[0.909,b],[1.359,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[0.835,b],[1.285,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[0.835,b],[1.285,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[0.835,b],[1.285,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[0.845,b],[1.295,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[0.845,b],[1.295,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[0.76,b],[1.21,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in C){if(C.hasOwnProperty(s)){o[s]=C[s]}}MathJax.Ajax.loadComplete(p.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js b/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js
index a05f4137a1..ca2b31ca6f 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(q,e,D){var A="2.7.6";var c="GyrePagellaMathJax_Alphabets",w="GyrePagellaMathJax_Arrows",y="GyrePagellaMathJax_DoubleStruck",B="GyrePagellaMathJax_Fraktur",h="GyrePagellaMathJax_Latin",v="GyrePagellaMathJax_Main",n="GyrePagellaMathJax_Marks",x="GyrePagellaMathJax_Misc",E="GyrePagellaMathJax_Monospace",z="GyrePagellaMathJax_NonUnicode",s="GyrePagellaMathJax_Normal",C="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",p="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",m="GyrePagellaMathJax_Size1",l="GyrePagellaMathJax_Size2",k="GyrePagellaMathJax_Size3",i="GyrePagellaMathJax_Size4",g="GyrePagellaMathJax_Size5",f="GyrePagellaMathJax_Size6",u="GyrePagellaMathJax_Symbols",o="GyrePagellaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};q.Augment({FONTDATA:{version:A,TeX_factor:1.057,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{GyrePagellaMathJax_Alphabets:"Alphabets/Regular/Main.js",GyrePagellaMathJax_Arrows:"Arrows/Regular/Main.js",GyrePagellaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyrePagellaMathJax_Fraktur:"Fraktur/Regular/Main.js",GyrePagellaMathJax_Latin:"Latin/Regular/Main.js",GyrePagellaMathJax_Main:"Main/Regular/Main.js",GyrePagellaMathJax_Marks:"Marks/Regular/Main.js",GyrePagellaMathJax_Misc:"Misc/Regular/Main.js",GyrePagellaMathJax_Monospace:"Monospace/Regular/Main.js",GyrePagellaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyrePagellaMathJax_Normal:"Normal/Regular/Main.js",GyrePagellaMathJax_Operators:"Operators/Regular/Main.js",GyrePagellaMathJax_SansSerif:"SansSerif/Regular/Main.js",GyrePagellaMathJax_Script:"Script/Regular/Main.js",GyrePagellaMathJax_Shapes:"Shapes/Regular/Main.js",GyrePagellaMathJax_Size1:"Size1/Regular/Main.js",GyrePagellaMathJax_Size2:"Size2/Regular/Main.js",GyrePagellaMathJax_Size3:"Size3/Regular/Main.js",GyrePagellaMathJax_Size4:"Size4/Regular/Main.js",GyrePagellaMathJax_Size5:"Size5/Regular/Main.js",GyrePagellaMathJax_Size6:"Size6/Regular/Main.js",GyrePagellaMathJax_Symbols:"Symbols/Regular/Main.js",GyrePagellaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},bold:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[B],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[B],bold:true,offsetA:120172},script:{fonts:[p],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[p],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[E],offsetA:120432,offsetN:120822},"-Gyre-Pagella-variant":{fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m]},"-tex-caligraphic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true},"-tex-oldstyle":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},"-tex-caligraphic-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true},"-tex-mathit":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f],[2.612,f,1.081]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f],[2.612,f,1.081]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},61:{dir:r,HW:[[0.6,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[0.84,v],[1,m],[1.192,l],[1.422,k],[1.698,i],[2.03,g],[2.428,f],[2.612,f,1.076]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},93:{dir:d,HW:[[0.84,v],[1,m],[1.192,l],[1.422,k],[1.698,i],[2.03,g],[2.428,f],[2.612,f,1.076]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[0.838,v],[0.998,m],[1.19,l],[1.42,k],[1.696,i],[2.028,g],[2.426,f],[2.612,f,1.077]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[0.838,v],[0.998,m],[1.19,l],[1.42,k],[1.696,i],[2.028,g],[2.426,f],[2.612,f,1.077]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[0.348,v],[0.613,m],[0.731,l],[0.874,k],[1.045,i],[1.251,g],[1.498,f]]},771:{dir:r,HW:[[0.342,v],[0.608,m],[0.727,l],[0.87,k],[1.042,i],[1.247,g],[1.496,f]]},773:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[0.348,v],[0.613,m],[0.731,l],[0.874,k],[1.045,i],[1.251,g],[1.498,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[1,y],[1.442,m]]},8592:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[0.845,v],[1.295,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[0.845,v],[1.295,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[0.76,w],[1.21,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[0.845,v],[1.295,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[0.845,v],[1.295,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{dir:r,HW:[],stretch:{rep:[8722,v,0,0,0,-0.27,-0.28]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[0.79,v],[1.15,m],[1.51,l],[1.87,k],[2.23,i],[2.59,g],[2.95,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{dir:d,HW:[[0.816,u],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},9002:{dir:d,HW:[[0.816,u],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},9130:{dir:d,HW:[[0.596,u]],stretch:{ext:[9130,u]}},9135:{alias:8722,dir:r},9136:{dir:d,HW:[[0.616,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[0.616,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[0.8,v,null,124],[1.269,v,1.586,124],[1.717,v,2.146,124],[2.164,v,2.705,124],[2.612,v,3.265,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[0.54,v],[1.038,m],[1.538,l],[2.038,k],[2.538,i],[3.038,g],[3.538,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[0.54,v],[1.038,m],[1.538,l],[2.038,k],[2.538,i],[3.038,g],[3.538,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[0.816,v],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},10217:{dir:d,HW:[[0.816,v],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},10218:j,10219:j,10222:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[0.835,w],[1.285,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[0.835,w],[1.285,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(q.fontDir+"/Main/Regular/Main.js",function(){q.FONTDATA.FONTS[v][8722][0]=q.FONTDATA.FONTS[v][43][0];q.FONTDATA.FONTS[v][8722][1]=q.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size1/Regular/Main.js",function(){var F;for(F=8747;F<=8749;F++){q.FONTDATA.FONTS[m][F][2]-=190;q.FONTDATA.FONTS[m][F][5]={rfix:-190}}for(F=8750;F<=8753;F++){q.FONTDATA.FONTS[m][F][2]-=100;q.FONTDATA.FONTS[m][F][5]={rfix:-100}}});D.loadComplete(q.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(q,e,D){var A="2.7.9";var c="GyrePagellaMathJax_Alphabets",w="GyrePagellaMathJax_Arrows",y="GyrePagellaMathJax_DoubleStruck",B="GyrePagellaMathJax_Fraktur",h="GyrePagellaMathJax_Latin",v="GyrePagellaMathJax_Main",n="GyrePagellaMathJax_Marks",x="GyrePagellaMathJax_Misc",E="GyrePagellaMathJax_Monospace",z="GyrePagellaMathJax_NonUnicode",s="GyrePagellaMathJax_Normal",C="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",p="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",m="GyrePagellaMathJax_Size1",l="GyrePagellaMathJax_Size2",k="GyrePagellaMathJax_Size3",i="GyrePagellaMathJax_Size4",g="GyrePagellaMathJax_Size5",f="GyrePagellaMathJax_Size6",u="GyrePagellaMathJax_Symbols",o="GyrePagellaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};q.Augment({FONTDATA:{version:A,TeX_factor:1.057,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{GyrePagellaMathJax_Alphabets:"Alphabets/Regular/Main.js",GyrePagellaMathJax_Arrows:"Arrows/Regular/Main.js",GyrePagellaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyrePagellaMathJax_Fraktur:"Fraktur/Regular/Main.js",GyrePagellaMathJax_Latin:"Latin/Regular/Main.js",GyrePagellaMathJax_Main:"Main/Regular/Main.js",GyrePagellaMathJax_Marks:"Marks/Regular/Main.js",GyrePagellaMathJax_Misc:"Misc/Regular/Main.js",GyrePagellaMathJax_Monospace:"Monospace/Regular/Main.js",GyrePagellaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyrePagellaMathJax_Normal:"Normal/Regular/Main.js",GyrePagellaMathJax_Operators:"Operators/Regular/Main.js",GyrePagellaMathJax_SansSerif:"SansSerif/Regular/Main.js",GyrePagellaMathJax_Script:"Script/Regular/Main.js",GyrePagellaMathJax_Shapes:"Shapes/Regular/Main.js",GyrePagellaMathJax_Size1:"Size1/Regular/Main.js",GyrePagellaMathJax_Size2:"Size2/Regular/Main.js",GyrePagellaMathJax_Size3:"Size3/Regular/Main.js",GyrePagellaMathJax_Size4:"Size4/Regular/Main.js",GyrePagellaMathJax_Size5:"Size5/Regular/Main.js",GyrePagellaMathJax_Size6:"Size6/Regular/Main.js",GyrePagellaMathJax_Symbols:"Symbols/Regular/Main.js",GyrePagellaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},bold:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[B],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[B],bold:true,offsetA:120172},script:{fonts:[p],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[p],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[E],offsetA:120432,offsetN:120822},"-Gyre-Pagella-variant":{fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m]},"-tex-caligraphic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true},"-tex-oldstyle":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},"-tex-caligraphic-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true},"-tex-mathit":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f],[2.612,f,1.081]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f],[2.612,f,1.081]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},61:{dir:r,HW:[[0.6,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[0.84,v],[1,m],[1.192,l],[1.422,k],[1.698,i],[2.03,g],[2.428,f],[2.612,f,1.076]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},93:{dir:d,HW:[[0.84,v],[1,m],[1.192,l],[1.422,k],[1.698,i],[2.03,g],[2.428,f],[2.612,f,1.076]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[0.838,v],[0.998,m],[1.19,l],[1.42,k],[1.696,i],[2.028,g],[2.426,f],[2.612,f,1.077]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[0.838,v],[0.998,m],[1.19,l],[1.42,k],[1.696,i],[2.028,g],[2.426,f],[2.612,f,1.077]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[0.348,v],[0.613,m],[0.731,l],[0.874,k],[1.045,i],[1.251,g],[1.498,f]]},771:{dir:r,HW:[[0.342,v],[0.608,m],[0.727,l],[0.87,k],[1.042,i],[1.247,g],[1.496,f]]},773:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[0.348,v],[0.613,m],[0.731,l],[0.874,k],[1.045,i],[1.251,g],[1.498,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[1,y],[1.442,m]]},8592:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[0.845,v],[1.295,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[0.845,v],[1.295,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[0.76,w],[1.21,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[0.76,v],[1.21,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[0.76,v],[1.21,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[0.845,v],[1.295,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[0.845,v],[1.295,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{dir:r,HW:[],stretch:{rep:[8722,v,0,0,0,-0.27,-0.28]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[0.79,v],[1.15,m],[1.51,l],[1.87,k],[2.23,i],[2.59,g],[2.95,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.612,f,1.085]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{dir:d,HW:[[0.816,u],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},9002:{dir:d,HW:[[0.816,u],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},9130:{dir:d,HW:[[0.596,u]],stretch:{ext:[9130,u]}},9135:{alias:8722,dir:r},9136:{dir:d,HW:[[0.616,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[0.616,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[0.8,v,null,124],[1.269,v,1.586,124],[1.717,v,2.146,124],[2.164,v,2.705,124],[2.612,v,3.265,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[0.54,v],[1.038,m],[1.538,l],[2.038,k],[2.538,i],[3.038,g],[3.538,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[0.54,v],[1.038,m],[1.538,l],[2.038,k],[2.538,i],[3.038,g],[3.538,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[0.816,v],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},10217:{dir:d,HW:[[0.816,v],[1.062,m],[1.386,l],[1.81,k],[2.366,i],[3.095,g],[4.05,f]]},10218:j,10219:j,10222:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[0.828,v],[0.988,m],[1.18,l],[1.41,k],[1.686,i],[2.018,g],[2.416,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[0.835,w],[1.285,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[0.835,w],[1.285,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(q.fontDir+"/Main/Regular/Main.js",function(){q.FONTDATA.FONTS[v][8722][0]=q.FONTDATA.FONTS[v][43][0];q.FONTDATA.FONTS[v][8722][1]=q.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size1/Regular/Main.js",function(){var F;for(F=8747;F<=8749;F++){q.FONTDATA.FONTS[m][F][2]-=190;q.FONTDATA.FONTS[m][F][5]={rfix:-190}}for(F=8750;F<=8753;F++){q.FONTDATA.FONTS[m][F][2]-=100;q.FONTDATA.FONTS[m][F][5]={rfix:-100}}});D.loadComplete(q.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js
index b331685d18..d6a0cd9a5b 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js
index 2343b2b17f..0cdb319cf8 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
index aa3789865b..a26df9603e 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js
index bd0bec1c28..441f0de37c 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js
index fbe14764a4..1199066164 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js
index 9e2062527e..65cea837b8 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js
index 6ce380ea42..7d1f052bd9 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js
index f03e4e6d8d..159bb84add 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js
index b5e7353f0b..2da051f6fe 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
index 3a547639dd..ce76e22e62 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js
index d9e482e4c3..eccfcbd390 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js
index ed4b29c0d4..da0343e26f 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js
index 45562e968a..78a5de69a8 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js
index 8d361f7443..553ec478eb 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js
index d7d5bfe73d..9e02957d91 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js
index c59c260b90..90c14ea4f6 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js
index 2af95f0653..63439bbf65 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js
index 1c54e1c22e..f4c6749ac7 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js
index 58f8d09417..136d003df3 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js
index 43f353ad2c..34e0bdf7ed 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js
index ea9066a741..c6921fc31d 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js
index c2bda5f75d..d550810c4b 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js
index 52ce1004ec..86258c41f7 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js
index b46ec11292..a54eeedc69 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(p){var z="2.7.6";var o=p.FONTDATA.DELIMITERS;var q="H",d="V";var c="GyreTermesMathJax_Alphabets",v="GyreTermesMathJax_Arrows",x="GyreTermesMathJax_DoubleStruck",A="GyreTermesMathJax_Fraktur",g="GyreTermesMathJax_Latin",u="GyreTermesMathJax_Main",l="GyreTermesMathJax_Marks",w="GyreTermesMathJax_Misc",D="GyreTermesMathJax_Monospace",y="GyreTermesMathJax_NonUnicode",r="GyreTermesMathJax_Normal",B="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",n="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",k="GyreTermesMathJax_Size1",j="GyreTermesMathJax_Size2",i="GyreTermesMathJax_Size3",h="GyreTermesMathJax_Size4",f="GyreTermesMathJax_Size5",e="GyreTermesMathJax_Size6",t="GyreTermesMathJax_Symbols",m="GyreTermesMathJax_Variants";var C={774:{dir:q,HW:[[0.35,u],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},785:{dir:q,HW:[[0.35,l],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},812:{dir:q,HW:[[0.342,l],[0.608,k],[0.727,j],[0.87,i],[1.041,h],[1.249,f],[1.496,e]]},813:{dir:q,HW:[[0.342,l],[0.608,k],[0.727,j],[0.87,i],[1.041,h],[1.249,f],[1.496,e]]},814:{dir:q,HW:[[0.35,l],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},815:{dir:q,HW:[[0.35,l],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},816:{dir:q,HW:[[0.334,l],[0.601,k],[0.72,j],[0.863,i],[1.037,h],[1.241,f],[1.491,e]]},819:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[0.386,u],[0.51,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[0.458,l],[0.582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[0.375,l],[0.75,k],[1.125,j],[1.5,i],[1.875,h],[2.25,f],[2.625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[0.506,u],[0.733,k]]},8599:{dir:d,HW:[[0.506,u],[0.733,k]]},8600:{dir:d,HW:[[0.506,u],[0.733,k]]},8601:{dir:d,HW:[[0.506,u],[0.733,k]]},8602:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[0.87,v],[1.19,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[0.87,v],[1.19,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[0.69,v],[1.01,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[0.69,v],[1.01,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[0.88,u],[1.2,k]]},8622:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[0.696,u],[0.888,k]]},8625:{dir:d,HW:[[0.696,u],[0.888,k]]},8626:{dir:d,HW:[[0.696,v],[0.888,k]]},8627:{dir:d,HW:[[0.696,v],[0.888,k]]},8630:{dir:q,HW:[[0.639,u],[0.879,k]]},8631:{dir:q,HW:[[0.639,u],[0.879,k]]},8636:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[0.7,u],[1.02,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[0.7,v],[1.02,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[0.7,u],[1.02,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[0.69,u],[1.01,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[0.69,u],[1.01,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[0.56,v],[0.787,k]]},8663:{dir:d,HW:[[0.56,v],[0.787,k]]},8664:{dir:d,HW:[[0.56,v],[0.787,k]]},8665:{dir:d,HW:[[0.56,v],[0.787,k]]},8666:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[0.69,v],[1.01,k]]},8669:{dir:q,HW:[[0.69,u],[1.01,k]]},8678:{dir:q,HW:[[0.913,v],[1.233,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[0.913,v],[1.233,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[0.913,v],[1.233,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[0.913,v],[1.233,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[0.93,v],[1.25,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[0.7,v],[1.02,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[0.69,v],[1.01,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[0.954,B],[1.374,k]]},8720:{dir:d,HW:[[0.954,B],[1.374,k]]},8721:{dir:d,HW:[[0.954,B],[1.374,k]]},8747:{dir:d,HW:[[1.092,u],[2.026,k]],stretch:{top:[57653,e],ext:[9134,t],bot:[57654,e]}},8748:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57655,e],ext:[57656,e],bot:[57657,e]}},8749:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8750:{dir:d,HW:[[1.092,B,null,8751],[2.026,k]]},8751:{dir:d,HW:[[1.092,B],[2.026,k]]},8752:{dir:d,HW:[[1.092,B],[2.026,k]]},8753:{dir:d,HW:[[1.092,B],[2.026,k]]},8754:{dir:d,HW:[[1.092,B],[2.026,k]]},8755:{dir:d,HW:[[1.092,B],[2.026,k]]},8801:{dir:q,HW:[[0.5,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[0.5,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[0.65,u],[0.8,k]]},8867:{dir:d,HW:[[0.65,u],[0.8,k]]},8868:{dir:d,HW:[[0.65,u],[0.8,k]]},8869:{dir:d,HW:[[0.65,u],[0.8,k]]},8896:{dir:d,HW:[[0.888,B],[1.165,k]]},8897:{dir:d,HW:[[0.888,B],[1.165,k]]},8898:{dir:d,HW:[[0.898,B],[1.17,k]]},8899:{dir:d,HW:[[0.898,B],[1.17,k]]},9140:{dir:q,HW:[[0.375,u],[0.75,k],[1.125,j],[1.5,i],[1.875,h],[2.25,f],[2.625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[0.375,u],[0.75,k],[1.125,j],[1.5,i],[1.875,h],[2.25,f],[2.625,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[0.514,u],[1.014,k],[1.514,j],[2.014,i],[2.514,h],[3.014,f],[3.514,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[0.514,u],[1.014,k],[1.514,j],[2.014,i],[2.514,h],[3.014,f],[3.514,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[0.562,u],[1.066,k],[1.568,j],[2.072,i],[2.576,h],[3.08,f],[3.584,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[0.562,u],[1.066,k],[1.568,j],[2.072,i],[2.576,h],[3.08,f],[3.584,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[0.87,w],[1.19,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[0.836,t],[0.998,k],[1.19,j],[1.422,i],[1.698,h],[2.032,f],[2.432,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[0.836,t],[0.998,k],[1.19,j],[1.422,i],[1.698,h],[2.032,f],[2.432,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[0.812,t],[1.06,k],[1.382,j],[1.806,i],[2.364,h],[3.092,f],[4.048,e]]},10219:{dir:d,HW:[[0.812,t],[1.06,k],[1.382,j],[1.806,i],[2.364,h],[3.092,f],[4.048,e]]},10752:{dir:d,HW:[[0.876,B],[1.132,k]]},10753:{dir:d,HW:[[0.876,B],[1.132,k]]},10754:{dir:d,HW:[[0.876,B],[1.132,k]]},10755:{dir:d,HW:[[0.898,B],[1.17,k]]},10756:{dir:d,HW:[[0.898,B],[1.17,k]]},10757:{dir:d,HW:[[0.88,B],[1.152,k]]},10758:{dir:d,HW:[[0.88,B],[1.152,k]]},10761:{dir:d,HW:[[0.716,B],[0.906,k]]},10764:{dir:d,HW:[[1.092,B],[2.026,k]]},10769:{dir:d,HW:[[1.092,B],[2.026,k]]},11012:{dir:q,HW:[[0.931,b],[1.251,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[0.87,b],[1.19,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[0.87,b],[1.19,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[0.87,b],[1.19,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[0.88,b],[1.2,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[0.88,b],[1.2,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[0.69,b],[1.01,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in C){if(C.hasOwnProperty(s)){o[s]=C[s]}}MathJax.Ajax.loadComplete(p.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(p){var z="2.7.9";var o=p.FONTDATA.DELIMITERS;var q="H",d="V";var c="GyreTermesMathJax_Alphabets",v="GyreTermesMathJax_Arrows",x="GyreTermesMathJax_DoubleStruck",A="GyreTermesMathJax_Fraktur",g="GyreTermesMathJax_Latin",u="GyreTermesMathJax_Main",l="GyreTermesMathJax_Marks",w="GyreTermesMathJax_Misc",D="GyreTermesMathJax_Monospace",y="GyreTermesMathJax_NonUnicode",r="GyreTermesMathJax_Normal",B="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",n="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",k="GyreTermesMathJax_Size1",j="GyreTermesMathJax_Size2",i="GyreTermesMathJax_Size3",h="GyreTermesMathJax_Size4",f="GyreTermesMathJax_Size5",e="GyreTermesMathJax_Size6",t="GyreTermesMathJax_Symbols",m="GyreTermesMathJax_Variants";var C={774:{dir:q,HW:[[0.35,u],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},785:{dir:q,HW:[[0.35,l],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},812:{dir:q,HW:[[0.342,l],[0.608,k],[0.727,j],[0.87,i],[1.041,h],[1.249,f],[1.496,e]]},813:{dir:q,HW:[[0.342,l],[0.608,k],[0.727,j],[0.87,i],[1.041,h],[1.249,f],[1.496,e]]},814:{dir:q,HW:[[0.35,l],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},815:{dir:q,HW:[[0.35,l],[0.62,k],[0.74,j],[0.885,i],[1.058,h],[1.266,f],[1.515,e]]},816:{dir:q,HW:[[0.334,l],[0.601,k],[0.72,j],[0.863,i],[1.037,h],[1.241,f],[1.491,e]]},819:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[0.333,l],[0.5,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[0.386,u],[0.51,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[0.458,l],[0.582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[0.375,l],[0.75,k],[1.125,j],[1.5,i],[1.875,h],[2.25,f],[2.625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[0.376,l],[0.5,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[0.386,l],[0.51,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[0.506,u],[0.733,k]]},8599:{dir:d,HW:[[0.506,u],[0.733,k]]},8600:{dir:d,HW:[[0.506,u],[0.733,k]]},8601:{dir:d,HW:[[0.506,u],[0.733,k]]},8602:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[0.87,v],[1.19,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[0.87,v],[1.19,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[0.69,v],[1.01,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[0.69,v],[1.01,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[0.716,u],[1.036,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[0.88,u],[1.2,k]]},8622:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[0.696,u],[0.888,k]]},8625:{dir:d,HW:[[0.696,u],[0.888,k]]},8626:{dir:d,HW:[[0.696,v],[0.888,k]]},8627:{dir:d,HW:[[0.696,v],[0.888,k]]},8630:{dir:q,HW:[[0.639,u],[0.879,k]]},8631:{dir:q,HW:[[0.639,u],[0.879,k]]},8636:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[0.68,u],[1,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[0.7,u],[1.02,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[0.7,v],[1.02,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[0.7,u],[1.02,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[0.69,u],[1.01,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[0.69,u],[1.01,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[0.68,u],[1,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[0.88,u],[1.2,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[0.69,u],[1.01,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[0.56,v],[0.787,k]]},8663:{dir:d,HW:[[0.56,v],[0.787,k]]},8664:{dir:d,HW:[[0.56,v],[0.787,k]]},8665:{dir:d,HW:[[0.56,v],[0.787,k]]},8666:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[0.87,u],[1.19,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[0.69,v],[1.01,k]]},8669:{dir:q,HW:[[0.69,u],[1.01,k]]},8678:{dir:q,HW:[[0.913,v],[1.233,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[0.913,v],[1.233,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[0.913,v],[1.233,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[0.913,v],[1.233,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[0.93,v],[1.25,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[0.7,v],[1.02,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[0.69,v],[1.01,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[0.954,B],[1.374,k]]},8720:{dir:d,HW:[[0.954,B],[1.374,k]]},8721:{dir:d,HW:[[0.954,B],[1.374,k]]},8747:{dir:d,HW:[[1.092,u],[2.026,k]],stretch:{top:[57653,e],ext:[9134,t],bot:[57654,e]}},8748:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57655,e],ext:[57656,e],bot:[57657,e]}},8749:{dir:d,HW:[[1.092,B],[2.026,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8750:{dir:d,HW:[[1.092,B,null,8751],[2.026,k]]},8751:{dir:d,HW:[[1.092,B],[2.026,k]]},8752:{dir:d,HW:[[1.092,B],[2.026,k]]},8753:{dir:d,HW:[[1.092,B],[2.026,k]]},8754:{dir:d,HW:[[1.092,B],[2.026,k]]},8755:{dir:d,HW:[[1.092,B],[2.026,k]]},8801:{dir:q,HW:[[0.5,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[0.5,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[0.65,u],[0.8,k]]},8867:{dir:d,HW:[[0.65,u],[0.8,k]]},8868:{dir:d,HW:[[0.65,u],[0.8,k]]},8869:{dir:d,HW:[[0.65,u],[0.8,k]]},8896:{dir:d,HW:[[0.888,B],[1.165,k]]},8897:{dir:d,HW:[[0.888,B],[1.165,k]]},8898:{dir:d,HW:[[0.898,B],[1.17,k]]},8899:{dir:d,HW:[[0.898,B],[1.17,k]]},9140:{dir:q,HW:[[0.375,u],[0.75,k],[1.125,j],[1.5,i],[1.875,h],[2.25,f],[2.625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[0.375,u],[0.75,k],[1.125,j],[1.5,i],[1.875,h],[2.25,f],[2.625,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[0.514,u],[1.014,k],[1.514,j],[2.014,i],[2.514,h],[3.014,f],[3.514,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[0.514,u],[1.014,k],[1.514,j],[2.014,i],[2.514,h],[3.014,f],[3.514,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[0.562,u],[1.066,k],[1.568,j],[2.072,i],[2.576,h],[3.08,f],[3.584,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[0.562,u],[1.066,k],[1.568,j],[2.072,i],[2.576,h],[3.08,f],[3.584,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[0.87,w],[1.19,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[0.836,t],[0.998,k],[1.19,j],[1.422,i],[1.698,h],[2.032,f],[2.432,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[0.836,t],[0.998,k],[1.19,j],[1.422,i],[1.698,h],[2.032,f],[2.432,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[0.812,t],[1.06,k],[1.382,j],[1.806,i],[2.364,h],[3.092,f],[4.048,e]]},10219:{dir:d,HW:[[0.812,t],[1.06,k],[1.382,j],[1.806,i],[2.364,h],[3.092,f],[4.048,e]]},10752:{dir:d,HW:[[0.876,B],[1.132,k]]},10753:{dir:d,HW:[[0.876,B],[1.132,k]]},10754:{dir:d,HW:[[0.876,B],[1.132,k]]},10755:{dir:d,HW:[[0.898,B],[1.17,k]]},10756:{dir:d,HW:[[0.898,B],[1.17,k]]},10757:{dir:d,HW:[[0.88,B],[1.152,k]]},10758:{dir:d,HW:[[0.88,B],[1.152,k]]},10761:{dir:d,HW:[[0.716,B],[0.906,k]]},10764:{dir:d,HW:[[1.092,B],[2.026,k]]},10769:{dir:d,HW:[[1.092,B],[2.026,k]]},11012:{dir:q,HW:[[0.931,b],[1.251,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[0.87,b],[1.19,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[0.87,b],[1.19,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[0.87,b],[1.19,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[0.88,b],[1.2,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[0.88,b],[1.2,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[0.69,b],[1.01,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in C){if(C.hasOwnProperty(s)){o[s]=C[s]}}MathJax.Ajax.loadComplete(p.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js b/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js
index 85a080813b..b2445c7cc9 100644
--- a/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(q,e,D){var A="2.7.6";var c="GyreTermesMathJax_Alphabets",w="GyreTermesMathJax_Arrows",y="GyreTermesMathJax_DoubleStruck",B="GyreTermesMathJax_Fraktur",h="GyreTermesMathJax_Latin",v="GyreTermesMathJax_Main",n="GyreTermesMathJax_Marks",x="GyreTermesMathJax_Misc",E="GyreTermesMathJax_Monospace",z="GyreTermesMathJax_NonUnicode",s="GyreTermesMathJax_Normal",C="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",p="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",m="GyreTermesMathJax_Size1",l="GyreTermesMathJax_Size2",k="GyreTermesMathJax_Size3",i="GyreTermesMathJax_Size4",g="GyreTermesMathJax_Size5",f="GyreTermesMathJax_Size6",u="GyreTermesMathJax_Symbols",o="GyreTermesMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};q.Augment({FONTDATA:{version:A,TeX_factor:1.125,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{GyreTermesMathJax_Alphabets:"Alphabets/Regular/Main.js",GyreTermesMathJax_Arrows:"Arrows/Regular/Main.js",GyreTermesMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyreTermesMathJax_Fraktur:"Fraktur/Regular/Main.js",GyreTermesMathJax_Latin:"Latin/Regular/Main.js",GyreTermesMathJax_Main:"Main/Regular/Main.js",GyreTermesMathJax_Marks:"Marks/Regular/Main.js",GyreTermesMathJax_Misc:"Misc/Regular/Main.js",GyreTermesMathJax_Monospace:"Monospace/Regular/Main.js",GyreTermesMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyreTermesMathJax_Normal:"Normal/Regular/Main.js",GyreTermesMathJax_Operators:"Operators/Regular/Main.js",GyreTermesMathJax_SansSerif:"SansSerif/Regular/Main.js",GyreTermesMathJax_Script:"Script/Regular/Main.js",GyreTermesMathJax_Shapes:"Shapes/Regular/Main.js",GyreTermesMathJax_Size1:"Size1/Regular/Main.js",GyreTermesMathJax_Size2:"Size2/Regular/Main.js",GyreTermesMathJax_Size3:"Size3/Regular/Main.js",GyreTermesMathJax_Size4:"Size4/Regular/Main.js",GyreTermesMathJax_Size5:"Size5/Regular/Main.js",GyreTermesMathJax_Size6:"Size6/Regular/Main.js",GyreTermesMathJax_Symbols:"Symbols/Regular/Main.js",GyreTermesMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},bold:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[B],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[B],bold:true,offsetA:120172},script:{fonts:[p],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[p],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[E],offsetA:120432,offsetN:120822},"-Gyre-Termes-variant":{fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m]},"-tex-caligraphic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true},"-tex-oldstyle":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},"-tex-caligraphic-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true},"-tex-mathit":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.816,v],[0.976,m],[1.168,l],[1.398,k],[1.674,i],[2.006,g],[2.404,f],[2.78,f,1.157]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[0.816,v],[0.976,m],[1.168,l],[1.398,k],[1.674,i],[2.006,g],[2.404,f],[2.78,f,1.157]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[1.827,k,1.016],[2.356,i],[3.086,g],[4.044,f]]},61:{dir:r,HW:[[0.5,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[0.836,v],[0.998,m],[1.19,l],[1.422,k],[1.698,i],[2.032,g],[2.432,f],[2.78,f,1.143]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[1.827,k,1.016],[2.356,i],[3.086,g],[4.044,f]]},93:{dir:d,HW:[[0.836,v],[0.998,m],[1.19,l],[1.422,k],[1.698,i],[2.032,g],[2.432,f],[2.78,f,1.143]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.78,f,1.155]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.78,f,1.155]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[0.342,v],[0.608,m],[0.727,l],[0.87,k],[1.041,i],[1.249,g],[1.496,f]]},771:{dir:r,HW:[[0.334,v],[0.601,m],[0.72,l],[0.863,k],[1.037,i],[1.241,g],[1.491,f]]},773:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[0.342,v],[0.608,m],[0.727,l],[0.87,k],[1.041,i],[1.249,g],[1.496,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[0.956,y],[1.36,m]]},8592:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[0.88,v],[1.2,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[0.88,v],[1.2,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[0.69,w],[1.01,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[0.88,v],[1.2,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[0.88,v],[1.2,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{dir:r,HW:[],stretch:{rep:[8722,v,0,0,0,-0.224,-0.224]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[0.706,v],[1.09,m],[1.474,l],[1.858,k],[2.242,i],[2.626,g],[3.01,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{dir:d,HW:[[0.812,u],[1.06,m],[1.382,l],[1.806,k],[2.364,i],[3.092,g],[4.048,f]]},9002:{dir:d,HW:[[0.812,u],[1.06,m],[1.382,l],[1.806,k],[2.364,i],[3.092,g],[4.048,f]]},9130:{dir:d,HW:[[0.596,u]],stretch:{ext:[9130,u]}},9135:{alias:8722,dir:r},9136:{dir:d,HW:[[0.607,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[0.607,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[0.8,v,null,124],[1.35,v,1.688,124],[1.827,v,2.283,124],[2.303,v,2.879,124],[2.78,v,3.474,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[0.52,v],[1.019,m],[1.519,l],[2.019,k],[2.519,i],[3.019,g],[3.519,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[0.52,v],[1.019,m],[1.519,l],[2.019,k],[2.519,i],[3.019,g],[3.519,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[0.812,v],[1.06,m],[1.382,l],[1.806,k],[1.827,k,1.012],[2.364,i],[3.092,g],[4.048,f]]},10217:{dir:d,HW:[[0.812,v],[1.06,m],[1.382,l],[1.806,k],[1.827,k,1.012],[2.364,i],[3.092,g],[4.048,f]]},10218:j,10219:j,10222:{dir:d,HW:[[0.814,v],[0.974,m],[1.166,l],[1.396,k],[1.672,i],[2.004,g],[2.402,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[0.814,v],[0.974,m],[1.166,l],[1.396,k],[1.672,i],[2.004,g],[2.402,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[0.87,w],[1.19,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[0.87,w],[1.19,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(q.fontDir+"/Main/Regular/Main.js",function(){q.FONTDATA.FONTS[v][8722][0]=q.FONTDATA.FONTS[v][43][0];q.FONTDATA.FONTS[v][8722][1]=q.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size1/Regular/Main.js",function(){var F;for(F=8747;F<=8749;F++){q.FONTDATA.FONTS[m][F][2]-=200;q.FONTDATA.FONTS[m][F][5]={rfix:-200}}for(F=8750;F<=8753;F++){q.FONTDATA.FONTS[m][F][2]-=150;q.FONTDATA.FONTS[m][F][5]={rfix:-150}}});D.loadComplete(q.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(q,e,D){var A="2.7.9";var c="GyreTermesMathJax_Alphabets",w="GyreTermesMathJax_Arrows",y="GyreTermesMathJax_DoubleStruck",B="GyreTermesMathJax_Fraktur",h="GyreTermesMathJax_Latin",v="GyreTermesMathJax_Main",n="GyreTermesMathJax_Marks",x="GyreTermesMathJax_Misc",E="GyreTermesMathJax_Monospace",z="GyreTermesMathJax_NonUnicode",s="GyreTermesMathJax_Normal",C="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",p="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",m="GyreTermesMathJax_Size1",l="GyreTermesMathJax_Size2",k="GyreTermesMathJax_Size3",i="GyreTermesMathJax_Size4",g="GyreTermesMathJax_Size5",f="GyreTermesMathJax_Size6",u="GyreTermesMathJax_Symbols",o="GyreTermesMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};q.Augment({FONTDATA:{version:A,TeX_factor:1.125,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{GyreTermesMathJax_Alphabets:"Alphabets/Regular/Main.js",GyreTermesMathJax_Arrows:"Arrows/Regular/Main.js",GyreTermesMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyreTermesMathJax_Fraktur:"Fraktur/Regular/Main.js",GyreTermesMathJax_Latin:"Latin/Regular/Main.js",GyreTermesMathJax_Main:"Main/Regular/Main.js",GyreTermesMathJax_Marks:"Marks/Regular/Main.js",GyreTermesMathJax_Misc:"Misc/Regular/Main.js",GyreTermesMathJax_Monospace:"Monospace/Regular/Main.js",GyreTermesMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyreTermesMathJax_Normal:"Normal/Regular/Main.js",GyreTermesMathJax_Operators:"Operators/Regular/Main.js",GyreTermesMathJax_SansSerif:"SansSerif/Regular/Main.js",GyreTermesMathJax_Script:"Script/Regular/Main.js",GyreTermesMathJax_Shapes:"Shapes/Regular/Main.js",GyreTermesMathJax_Size1:"Size1/Regular/Main.js",GyreTermesMathJax_Size2:"Size2/Regular/Main.js",GyreTermesMathJax_Size3:"Size3/Regular/Main.js",GyreTermesMathJax_Size4:"Size4/Regular/Main.js",GyreTermesMathJax_Size5:"Size5/Regular/Main.js",GyreTermesMathJax_Size6:"Size6/Regular/Main.js",GyreTermesMathJax_Symbols:"Symbols/Regular/Main.js",GyreTermesMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},bold:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[B],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[B],bold:true,offsetA:120172},script:{fonts:[p],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[p],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[E],offsetA:120432,offsetN:120822},"-Gyre-Termes-variant":{fonts:[o,v,s,E,h,c,n,w,C,u,b,x,z,m]},"-tex-caligraphic":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true},"-tex-oldstyle":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m]},"-tex-caligraphic-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],bold:true},"-tex-mathit":{fonts:[v,s,E,h,c,n,w,C,u,b,x,o,z,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.816,v],[0.976,m],[1.168,l],[1.398,k],[1.674,i],[2.006,g],[2.404,f],[2.78,f,1.157]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[0.816,v],[0.976,m],[1.168,l],[1.398,k],[1.674,i],[2.006,g],[2.404,f],[2.78,f,1.157]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[1.827,k,1.016],[2.356,i],[3.086,g],[4.044,f]]},61:{dir:r,HW:[[0.5,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[0.836,v],[0.998,m],[1.19,l],[1.422,k],[1.698,i],[2.032,g],[2.432,f],[2.78,f,1.143]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[1.827,k,1.016],[2.356,i],[3.086,g],[4.044,f]]},93:{dir:d,HW:[[0.836,v],[0.998,m],[1.19,l],[1.422,k],[1.698,i],[2.032,g],[2.432,f],[2.78,f,1.143]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.78,f,1.155]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[0.82,v],[0.98,m],[1.172,l],[1.402,k],[1.678,i],[2.01,g],[2.408,f],[2.78,f,1.155]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[0.342,v],[0.608,m],[0.727,l],[0.87,k],[1.041,i],[1.249,g],[1.496,f]]},771:{dir:r,HW:[[0.334,v],[0.601,m],[0.72,l],[0.863,k],[1.037,i],[1.241,g],[1.491,f]]},773:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[0.342,v],[0.608,m],[0.727,l],[0.87,k],[1.041,i],[1.249,g],[1.496,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[0.333,n],[0.5,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[0.8,v],[1.048,m],[1.372,l],[1.798,k],[2.356,i],[3.086,g],[4.044,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[0.956,y],[1.36,m]]},8592:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[0.88,v],[1.2,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[0.88,v],[1.2,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[0.69,w],[1.01,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[0.69,v],[1.01,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[0.69,v],[1.01,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[0.88,v],[1.2,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[0.88,v],[1.2,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{dir:r,HW:[],stretch:{rep:[8722,v,0,0,0,-0.224,-0.224]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[0.706,v],[1.09,m],[1.474,l],[1.858,k],[2.242,i],[2.626,g],[3.01,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[0.8,v],[0.96,m],[1.152,l],[1.382,k],[1.658,i],[1.99,g],[2.388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[0.818,v],[0.979,m],[1.171,l],[1.402,k],[1.678,i],[2.011,g],[2.41,f],[2.78,f,1.154]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{dir:d,HW:[[0.812,u],[1.06,m],[1.382,l],[1.806,k],[2.364,i],[3.092,g],[4.048,f]]},9002:{dir:d,HW:[[0.812,u],[1.06,m],[1.382,l],[1.806,k],[2.364,i],[3.092,g],[4.048,f]]},9130:{dir:d,HW:[[0.596,u]],stretch:{ext:[9130,u]}},9135:{alias:8722,dir:r},9136:{dir:d,HW:[[0.607,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[0.607,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[0.8,v,null,124],[1.35,v,1.688,124],[1.827,v,2.283,124],[2.303,v,2.879,124],[2.78,v,3.474,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[0.52,v],[1.019,m],[1.519,l],[2.019,k],[2.519,i],[3.019,g],[3.519,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[0.52,v],[1.019,m],[1.519,l],[2.019,k],[2.519,i],[3.019,g],[3.519,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[0.812,v],[1.06,m],[1.382,l],[1.806,k],[1.827,k,1.012],[2.364,i],[3.092,g],[4.048,f]]},10217:{dir:d,HW:[[0.812,v],[1.06,m],[1.382,l],[1.806,k],[1.827,k,1.012],[2.364,i],[3.092,g],[4.048,f]]},10218:j,10219:j,10222:{dir:d,HW:[[0.814,v],[0.974,m],[1.166,l],[1.396,k],[1.672,i],[2.004,g],[2.402,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[0.814,v],[0.974,m],[1.166,l],[1.396,k],[1.672,i],[2.004,g],[2.402,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[0.87,w],[1.19,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[0.87,w],[1.19,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(q.fontDir+"/Main/Regular/Main.js",function(){q.FONTDATA.FONTS[v][8722][0]=q.FONTDATA.FONTS[v][43][0];q.FONTDATA.FONTS[v][8722][1]=q.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(q.fontDir+"/Size1/Regular/Main.js",function(){var F;for(F=8747;F<=8749;F++){q.FONTDATA.FONTS[m][F][2]-=200;q.FONTDATA.FONTS[m][F][5]={rfix:-200}}for(F=8750;F<=8753;F++){q.FONTDATA.FONTS[m][F][2]-=150;q.FONTDATA.FONTS[m][F][5]={rfix:-150}}});D.loadComplete(q.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js
index 3d28c4088a..adfab92c86 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js
index 75f0dca570..073346c10a 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
index 5614506aa8..f84e58d3f4 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js
index 7f786218a4..720fc94d32 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js
index 8e50e07519..f789d6f301 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js
index 82203a07ec..67fe365b37 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js
index 505cccdea2..dc1d8a71ec 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js
index 192c1ff3cd..3aa1cdabf0 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js
index e49f56c083..ddc85b1803 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js
index 51d67ad3ca..a4605fee8a 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js
index 8c9f7263ee..0c8ecb65d3 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js
index 9d4754e238..43d1c896cb 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js
index 42aa81e521..ddd9704098 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js
index 8c424b76ec..64bb8a7db2 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js
index dd336d3e33..8760234f29 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js
index 740f35e430..792de3fecc 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js
index 874d3d4719..f4d4b8f644 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js
index ca36a4a5d0..62e50cc36a 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js
index ba2a0bd5a5..cc7a0caa5d 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js
index 2c9ec48d28..aed9ab9502 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js
index fd29eea698..1ee7f5734a 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js
index c74f3676db..8549471eef 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js
index 35e454438a..db704a0dfd 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js b/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js
index 3039b9e577..233ddbeb6b 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js b/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js
index b547f1fb45..cb21d95808 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(q){var A="2.7.6";var p=q.FONTDATA.DELIMITERS;var r="H",d="V";var c="LatinModernMathJax_Alphabets",w="LatinModernMathJax_Arrows",y="LatinModernMathJax_DoubleStruck",B="LatinModernMathJax_Fraktur",h="LatinModernMathJax_Latin",v="LatinModernMathJax_Main",m="LatinModernMathJax_Marks",x="LatinModernMathJax_Misc",E="LatinModernMathJax_Monospace",z="LatinModernMathJax_NonUnicode",s="LatinModernMathJax_Normal",C="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",o="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",l="LatinModernMathJax_Size1",k="LatinModernMathJax_Size2",j="LatinModernMathJax_Size3",i="LatinModernMathJax_Size4",g="LatinModernMathJax_Size5",f="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",u="LatinModernMathJax_Symbols",n="LatinModernMathJax_Variants";var D={774:{dir:r,HW:[[0.374,v],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},785:{dir:r,HW:[[0.374,m],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},812:{dir:r,HW:[[0.364,m],[0.644,l],[0.768,k],[0.919,j],[1.1,i],[1.32,g],[1.581,f],[1.896,e]]},813:{dir:r,HW:[[0.364,m],[0.644,l],[0.768,k],[0.919,j],[1.1,i],[1.32,g],[1.581,f],[1.896,e]]},814:{dir:r,HW:[[0.374,m],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},815:{dir:r,HW:[[0.374,m],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},816:{dir:r,HW:[[0.37,m],[0.652,l],[0.778,k],[0.931,j],[1.115,i],[1.335,g],[1.599,f],[1.915,e]]},819:{dir:r,HW:[[0.392,m],[0.568,l]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:r,HW:[[0.392,m],[0.568,l]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:r,HW:[[0.416,m],[0.547,l]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:r,HW:[[0.416,v],[0.547,l]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:r,HW:[[0.47,m],[0.603,l]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:r,HW:[[0.36,m],[0.735,l],[1.11,k],[1.485,j],[1.86,i],[2.235,g],[2.61,f],[2.985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:r,HW:[[0.416,m],[0.547,l]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:r,HW:[[0.416,m],[0.547,l]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[0.917,v],[1.383,l]]},8599:{dir:d,HW:[[0.917,v],[1.383,l]]},8600:{dir:d,HW:[[0.917,v],[1.383,l]]},8601:{dir:d,HW:[[0.917,v],[1.383,l]]},8602:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:r,HW:[[0.905,v],[1.351,l]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[0.902,w],[1.348,l]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:r,HW:[[0.905,v],[1.351,l]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[0.902,w],[1.348,l]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:r,HW:[[1.08,v],[1.546,l]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:r,HW:[[1.08,v],[1.546,l]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[0.862,w],[1.328,l]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[0.862,w],[1.328,l]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:r,HW:[[0.884,v],[1.33,l]]},8622:{dir:r,HW:[[0.884,v],[1.33,l]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[0.858,v],[1.168,l]]},8625:{dir:d,HW:[[0.858,v],[1.168,l]]},8626:{dir:d,HW:[[0.858,w],[1.168,l]]},8627:{dir:d,HW:[[0.858,w],[1.168,l]]},8630:{dir:r,HW:[[0.868,v],[1.218,l]]},8631:{dir:r,HW:[[0.868,v],[1.218,l]]},8636:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[0.906,w],[1.372,l]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[0.882,v],[1.348,l]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[0.882,v],[1.348,l]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:r,HW:[[0.879,v],[1.345,l]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:r,HW:[[0.956,v],[1.422,l]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:r,HW:[[0.879,v],[1.345,l]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[0.954,w],[1.42,l]]},8663:{dir:d,HW:[[0.954,w],[1.42,l]]},8664:{dir:d,HW:[[0.954,w],[1.42,l]]},8665:{dir:d,HW:[[0.954,w],[1.42,l]]},8666:{dir:r,HW:[[0.903,v],[1.349,l]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:r,HW:[[0.903,v],[1.349,l]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:r,HW:[[0.885,w],[1.351,l]]},8669:{dir:r,HW:[[0.885,v],[1.351,l]]},8678:{dir:r,HW:[[0.938,w],[1.384,l]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[0.938,w],[1.384,l]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:r,HW:[[0.938,w],[1.384,l]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[0.938,w],[1.384,l]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[0.95,w],[1.396,l]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[0.906,w],[1.372,l]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:r,HW:[[0.885,w],[1.351,l]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1,C],[1.4,l]]},8720:{dir:d,HW:[[1,C],[1.4,l]]},8721:{dir:d,HW:[[1,C],[1.4,l]]},8747:{dir:d,HW:[[1.111,v],[2.222,l]]},8748:{dir:d,HW:[[1.111,C],[2.222,l]]},8749:{dir:d,HW:[[1.111,C],[2.222,l]]},8750:{dir:d,HW:[[1.111,C],[2.222,l]]},8751:{dir:d,HW:[[1.111,C],[2.222,l]]},8752:{dir:d,HW:[[1.111,C],[2.222,l]]},8753:{dir:d,HW:[[1.111,C],[2.222,l]]},8754:{dir:d,HW:[[1.111,C],[2.222,l]]},8755:{dir:d,HW:[[1.111,C],[2.222,l]]},8801:{dir:r,HW:[[0.666,v]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:r,HW:[[0.666,C]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[0.684,v],[0.868,l]]},8867:{dir:d,HW:[[0.684,v],[0.868,l]]},8868:{dir:d,HW:[[0.684,v],[0.868,l]]},8869:{dir:d,HW:[[0.684,v],[0.868,l]]},8896:{dir:d,HW:[[1.045,C],[1.393,l]]},8897:{dir:d,HW:[[1.045,C],[1.393,l]]},8898:{dir:d,HW:[[1.022,C],[1.356,l]]},8899:{dir:d,HW:[[1.022,C],[1.356,l]]},9140:{dir:r,HW:[[0.36,v],[0.735,l],[1.11,k],[1.485,j],[1.86,i],[2.235,g],[2.61,f],[2.985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:r,HW:[[0.36,v],[0.735,l],[1.11,k],[1.485,j],[1.86,i],[2.235,g],[2.61,f],[2.985,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:r,HW:[[0.504,v],[1.006,l],[1.508,k],[2.012,j],[2.516,i],[3.02,g],[3.524,f],[4.032,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:r,HW:[[0.504,v],[1.006,l],[1.508,k],[2.012,j],[2.516,i],[3.02,g],[3.524,f],[4.032,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:r,HW:[[0.546,v],[1.048,l],[1.55,k],[2.056,j],[2.564,i],[3.068,g],[3.574,f],[4.082,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:r,HW:[[0.546,v],[1.048,l],[1.55,k],[2.056,j],[2.564,i],[3.068,g],[3.574,f],[4.082,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:r,HW:[[0.865,x],[1.311,l]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]]},10219:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]]},10752:{dir:d,HW:[[0.986,C],[1.304,l]]},10753:{dir:d,HW:[[0.986,C],[1.304,l]]},10754:{dir:d,HW:[[0.986,C],[1.304,l]]},10755:{dir:d,HW:[[1.022,C],[1.356,l]]},10756:{dir:d,HW:[[1.022,C],[1.356,l]]},10757:{dir:d,HW:[[1.028,C],[1.372,l]]},10758:{dir:d,HW:[[1.028,C],[1.372,l]]},10761:{dir:d,HW:[[0.981,C],[1.26,l]]},10764:{dir:d,HW:[[1.111,C],[2.222,l]]},10769:{dir:d,HW:[[1.111,C],[2.222,l]]},11012:{dir:r,HW:[[0.95,b],[1.396,l]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:r,HW:[[0.865,b],[1.311,l]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[0.865,b],[1.311,l]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[0.865,b],[1.311,l]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:r,HW:[[0.844,b],[1.29,l]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[0.844,b],[1.29,l]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:r,HW:[[0.885,b],[1.351,l]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var t in D){if(D.hasOwnProperty(t)){p[t]=D[t]}}MathJax.Ajax.loadComplete(q.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(q){var A="2.7.9";var p=q.FONTDATA.DELIMITERS;var r="H",d="V";var c="LatinModernMathJax_Alphabets",w="LatinModernMathJax_Arrows",y="LatinModernMathJax_DoubleStruck",B="LatinModernMathJax_Fraktur",h="LatinModernMathJax_Latin",v="LatinModernMathJax_Main",m="LatinModernMathJax_Marks",x="LatinModernMathJax_Misc",E="LatinModernMathJax_Monospace",z="LatinModernMathJax_NonUnicode",s="LatinModernMathJax_Normal",C="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",o="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",l="LatinModernMathJax_Size1",k="LatinModernMathJax_Size2",j="LatinModernMathJax_Size3",i="LatinModernMathJax_Size4",g="LatinModernMathJax_Size5",f="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",u="LatinModernMathJax_Symbols",n="LatinModernMathJax_Variants";var D={774:{dir:r,HW:[[0.374,v],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},785:{dir:r,HW:[[0.374,m],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},812:{dir:r,HW:[[0.364,m],[0.644,l],[0.768,k],[0.919,j],[1.1,i],[1.32,g],[1.581,f],[1.896,e]]},813:{dir:r,HW:[[0.364,m],[0.644,l],[0.768,k],[0.919,j],[1.1,i],[1.32,g],[1.581,f],[1.896,e]]},814:{dir:r,HW:[[0.374,m],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},815:{dir:r,HW:[[0.374,m],[0.658,l],[0.784,k],[0.937,j],[1.12,i],[1.341,g],[1.604,f],[1.92,e]]},816:{dir:r,HW:[[0.37,m],[0.652,l],[0.778,k],[0.931,j],[1.115,i],[1.335,g],[1.599,f],[1.915,e]]},819:{dir:r,HW:[[0.392,m],[0.568,l]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:r,HW:[[0.392,m],[0.568,l]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:r,HW:[[0.416,m],[0.547,l]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:r,HW:[[0.416,v],[0.547,l]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:r,HW:[[0.47,m],[0.603,l]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:r,HW:[[0.36,m],[0.735,l],[1.11,k],[1.485,j],[1.86,i],[2.235,g],[2.61,f],[2.985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:r,HW:[[0.422,m],[0.555,l]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:r,HW:[[0.416,m],[0.547,l]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:r,HW:[[0.416,m],[0.547,l]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[0.917,v],[1.383,l]]},8599:{dir:d,HW:[[0.917,v],[1.383,l]]},8600:{dir:d,HW:[[0.917,v],[1.383,l]]},8601:{dir:d,HW:[[0.917,v],[1.383,l]]},8602:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:r,HW:[[0.905,v],[1.351,l]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[0.902,w],[1.348,l]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:r,HW:[[0.905,v],[1.351,l]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[0.902,w],[1.348,l]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:r,HW:[[1.08,v],[1.546,l]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:r,HW:[[1.08,v],[1.546,l]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[0.862,w],[1.328,l]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[0.862,w],[1.328,l]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:r,HW:[[0.884,v],[1.33,l]]},8622:{dir:r,HW:[[0.884,v],[1.33,l]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[0.858,v],[1.168,l]]},8625:{dir:d,HW:[[0.858,v],[1.168,l]]},8626:{dir:d,HW:[[0.858,w],[1.168,l]]},8627:{dir:d,HW:[[0.858,w],[1.168,l]]},8630:{dir:r,HW:[[0.868,v],[1.218,l]]},8631:{dir:r,HW:[[0.868,v],[1.218,l]]},8636:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:r,HW:[[0.9,v],[1.366,l]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[0.9,v],[1.366,l]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[0.906,w],[1.372,l]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[0.882,v],[1.348,l]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:r,HW:[[0.885,v],[1.351,l]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[0.882,v],[1.348,l]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:r,HW:[[0.906,v],[1.372,l]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:r,HW:[[0.879,v],[1.345,l]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:r,HW:[[0.956,v],[1.422,l]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:r,HW:[[0.879,v],[1.345,l]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[0.954,w],[1.42,l]]},8663:{dir:d,HW:[[0.954,w],[1.42,l]]},8664:{dir:d,HW:[[0.954,w],[1.42,l]]},8665:{dir:d,HW:[[0.954,w],[1.42,l]]},8666:{dir:r,HW:[[0.903,v],[1.349,l]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:r,HW:[[0.903,v],[1.349,l]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:r,HW:[[0.885,w],[1.351,l]]},8669:{dir:r,HW:[[0.885,v],[1.351,l]]},8678:{dir:r,HW:[[0.938,w],[1.384,l]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[0.938,w],[1.384,l]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:r,HW:[[0.938,w],[1.384,l]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[0.938,w],[1.384,l]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[0.95,w],[1.396,l]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[0.906,w],[1.372,l]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:r,HW:[[0.885,w],[1.351,l]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1,C],[1.4,l]]},8720:{dir:d,HW:[[1,C],[1.4,l]]},8721:{dir:d,HW:[[1,C],[1.4,l]]},8747:{dir:d,HW:[[1.111,v],[2.222,l]]},8748:{dir:d,HW:[[1.111,C],[2.222,l]]},8749:{dir:d,HW:[[1.111,C],[2.222,l]]},8750:{dir:d,HW:[[1.111,C],[2.222,l]]},8751:{dir:d,HW:[[1.111,C],[2.222,l]]},8752:{dir:d,HW:[[1.111,C],[2.222,l]]},8753:{dir:d,HW:[[1.111,C],[2.222,l]]},8754:{dir:d,HW:[[1.111,C],[2.222,l]]},8755:{dir:d,HW:[[1.111,C],[2.222,l]]},8801:{dir:r,HW:[[0.666,v]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:r,HW:[[0.666,C]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[0.684,v],[0.868,l]]},8867:{dir:d,HW:[[0.684,v],[0.868,l]]},8868:{dir:d,HW:[[0.684,v],[0.868,l]]},8869:{dir:d,HW:[[0.684,v],[0.868,l]]},8896:{dir:d,HW:[[1.045,C],[1.393,l]]},8897:{dir:d,HW:[[1.045,C],[1.393,l]]},8898:{dir:d,HW:[[1.022,C],[1.356,l]]},8899:{dir:d,HW:[[1.022,C],[1.356,l]]},9140:{dir:r,HW:[[0.36,v],[0.735,l],[1.11,k],[1.485,j],[1.86,i],[2.235,g],[2.61,f],[2.985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:r,HW:[[0.36,v],[0.735,l],[1.11,k],[1.485,j],[1.86,i],[2.235,g],[2.61,f],[2.985,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:r,HW:[[0.504,v],[1.006,l],[1.508,k],[2.012,j],[2.516,i],[3.02,g],[3.524,f],[4.032,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:r,HW:[[0.504,v],[1.006,l],[1.508,k],[2.012,j],[2.516,i],[3.02,g],[3.524,f],[4.032,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:r,HW:[[0.546,v],[1.048,l],[1.55,k],[2.056,j],[2.564,i],[3.068,g],[3.574,f],[4.082,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:r,HW:[[0.546,v],[1.048,l],[1.55,k],[2.056,j],[2.564,i],[3.068,g],[3.574,f],[4.082,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:r,HW:[[0.865,x],[1.311,l]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]]},10219:{dir:d,HW:[[1,u],[1.1,l],[1.2,k],[1.45,j],[1.8,i],[2.1,g],[2.4,f],[3,e]]},10752:{dir:d,HW:[[0.986,C],[1.304,l]]},10753:{dir:d,HW:[[0.986,C],[1.304,l]]},10754:{dir:d,HW:[[0.986,C],[1.304,l]]},10755:{dir:d,HW:[[1.022,C],[1.356,l]]},10756:{dir:d,HW:[[1.022,C],[1.356,l]]},10757:{dir:d,HW:[[1.028,C],[1.372,l]]},10758:{dir:d,HW:[[1.028,C],[1.372,l]]},10761:{dir:d,HW:[[0.981,C],[1.26,l]]},10764:{dir:d,HW:[[1.111,C],[2.222,l]]},10769:{dir:d,HW:[[1.111,C],[2.222,l]]},11012:{dir:r,HW:[[0.95,b],[1.396,l]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:r,HW:[[0.865,b],[1.311,l]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[0.865,b],[1.311,l]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[0.865,b],[1.311,l]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:r,HW:[[0.844,b],[1.29,l]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[0.844,b],[1.29,l]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:r,HW:[[0.885,b],[1.351,l]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var t in D){if(D.hasOwnProperty(t)){p[t]=D[t]}}MathJax.Ajax.loadComplete(q.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js b/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js
index 2204c4b5c5..1d876ffb38 100644
--- a/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(r,f,E){var B="2.7.6";var c="LatinModernMathJax_Alphabets",x="LatinModernMathJax_Arrows",z="LatinModernMathJax_DoubleStruck",C="LatinModernMathJax_Fraktur",i="LatinModernMathJax_Latin",w="LatinModernMathJax_Main",o="LatinModernMathJax_Marks",y="LatinModernMathJax_Misc",F="LatinModernMathJax_Monospace",A="LatinModernMathJax_NonUnicode",t="LatinModernMathJax_Normal",D="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",q="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",n="LatinModernMathJax_Size1",m="LatinModernMathJax_Size2",l="LatinModernMathJax_Size3",j="LatinModernMathJax_Size4",h="LatinModernMathJax_Size5",g="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",v="LatinModernMathJax_Symbols",p="LatinModernMathJax_Variants";var s="H",d="V",u={load:"extra",dir:s},k={load:"extra",dir:d};r.Augment({FONTDATA:{version:B,TeX_factor:1.091,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{LatinModernMathJax_Alphabets:"Alphabets/Regular/Main.js",LatinModernMathJax_Arrows:"Arrows/Regular/Main.js",LatinModernMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",LatinModernMathJax_Fraktur:"Fraktur/Regular/Main.js",LatinModernMathJax_Latin:"Latin/Regular/Main.js",LatinModernMathJax_Main:"Main/Regular/Main.js",LatinModernMathJax_Marks:"Marks/Regular/Main.js",LatinModernMathJax_Misc:"Misc/Regular/Main.js",LatinModernMathJax_Monospace:"Monospace/Regular/Main.js",LatinModernMathJax_NonUnicode:"NonUnicode/Regular/Main.js",LatinModernMathJax_Normal:"Normal/Regular/Main.js",LatinModernMathJax_Operators:"Operators/Regular/Main.js",LatinModernMathJax_SansSerif:"SansSerif/Regular/Main.js",LatinModernMathJax_Script:"Script/Regular/Main.js",LatinModernMathJax_Shapes:"Shapes/Regular/Main.js",LatinModernMathJax_Size1:"Size1/Regular/Main.js",LatinModernMathJax_Size2:"Size2/Regular/Main.js",LatinModernMathJax_Size3:"Size3/Regular/Main.js",LatinModernMathJax_Size4:"Size4/Regular/Main.js",LatinModernMathJax_Size5:"Size5/Regular/Main.js",LatinModernMathJax_Size6:"Size6/Regular/Main.js",LatinModernMathJax_Size7:"Size7/Regular/Main.js",LatinModernMathJax_Symbols:"Symbols/Regular/Main.js",LatinModernMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n]},bold:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[z],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Latin-Modern-variant":{fonts:[p,w,t,F,i,c,o,x,D,v,b,y,A,n]},"-tex-caligraphic":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true},"-tex-oldstyle":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n]},"-tex-caligraphic-bold":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],bold:true},"-tex-mathit":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true,noIC:true},"-largeOp":{fonts:[n,w]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.996,w],[1.094,n],[1.194,m],[1.444,l],[1.792,j],[2.092,h],[2.392,g],[2.99,e]],stretch:{bot:[9117,v],ext:[9116,v],top:[9115,v]}},41:{dir:d,HW:[[0.996,w],[1.094,n],[1.194,m],[1.444,l],[1.792,j],[2.092,h],[2.392,g],[2.99,e]],stretch:{bot:[9120,v],ext:[9119,v],top:[9118,v]}},45:{alias:8722,dir:s},47:{dir:d,HW:[[1,w],[1.31,n],[1.716,m],[1.771,m,1.032],[2.248,l],[2.944,j],[3.858,h],[5.054,g],[6.62,e]]},61:{dir:s,HW:[[0.666,w]],stretch:{left:[57344,e],rep:[57345,e],right:[57346,e]}},91:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9123,v],ext:[9122,v],top:[9121,v]}},92:{dir:d,HW:[[1,w],[1.31,n],[1.716,m],[1.771,m,1.032],[2.248,l],[2.944,j],[3.858,h],[5.054,g],[6.62,e]]},93:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9126,v],ext:[9125,v],top:[9124,v]}},94:{alias:770,dir:s},95:{alias:818,dir:s},123:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9129,v],ext:[57347,e],mid:[9128,v],top:[9127,v]}},124:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},125:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9133,v],ext:[57351,e],mid:[9132,v],top:[9131,v]}},126:{alias:771,dir:s},175:{alias:818,dir:s},710:{alias:770,dir:s},713:{alias:8722,dir:s},732:{alias:771,dir:s},770:{dir:s,HW:[[0.364,w],[0.644,n],[0.768,m],[0.919,l],[1.1,j],[1.32,h],[1.581,g],[1.896,e]]},771:{dir:s,HW:[[0.37,w],[0.652,n],[0.778,m],[0.931,l],[1.115,j],[1.335,h],[1.599,g],[1.915,e]]},773:{dir:s,HW:[[0.392,o],[0.568,n]],stretch:{left:[57595,e],rep:[57596,e],right:[57597,e]}},774:u,780:{dir:s,HW:[[0.364,w],[0.644,n],[0.768,m],[0.919,l],[1.1,j],[1.32,h],[1.581,g],[1.896,e]]},785:u,812:u,813:u,814:u,815:u,816:u,818:{dir:s,HW:[[0.392,o],[0.568,n]],stretch:{left:[57589,e],rep:[57590,e],right:[57591,e]}},819:u,831:u,8213:{alias:8722,dir:s},8214:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8215:{alias:8722,dir:s},8254:{alias:8722,dir:s},8260:{dir:d,HW:[[1,w],[1.31,n],[1.716,m],[2.248,l],[2.944,j],[3.858,h],[5.054,g],[6.62,e]]},8400:u,8401:u,8406:u,8407:u,8417:u,8425:u,8428:u,8429:u,8430:u,8431:u,8592:{dir:s,HW:[[0.885,w],[1.351,n]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},8593:{dir:d,HW:[[0.882,w],[1.348,n]],stretch:{bot:[57385,e],ext:[57386,e],top:[57387,e]}},8594:{dir:s,HW:[[0.885,w],[1.351,n]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},8595:{dir:d,HW:[[0.882,w],[1.348,n]],stretch:{bot:[57388,e],ext:[57389,e],top:[57390,e]}},8596:{dir:s,HW:[[0.884,w],[1.33,n]],stretch:{left:[57399,e],rep:[57400,e],right:[57401,e]}},8597:{dir:d,HW:[[1.014,w],[1.014,n]],stretch:{bot:[57402,e],ext:[57403,e],top:[57404,e]}},8598:k,8599:k,8600:k,8601:k,8602:u,8603:u,8606:u,8607:k,8608:u,8609:k,8610:u,8611:u,8612:{dir:s,HW:[[0.865,x],[1.331,n]],stretch:{left:[57427,e],rep:[57428,e],right:[57429,e]}},8613:k,8614:{dir:s,HW:[[0.865,w],[1.331,n]],stretch:{left:[57430,e],rep:[57431,e],right:[57432,e]}},8615:k,8617:u,8618:u,8619:u,8620:u,8621:u,8622:u,8624:k,8625:k,8626:k,8627:k,8630:u,8631:u,8636:u,8637:u,8638:k,8639:k,8640:u,8641:u,8642:k,8643:k,8644:u,8645:k,8646:u,8647:u,8648:k,8649:u,8650:k,8651:u,8652:u,8653:u,8654:u,8655:u,8656:{dir:s,HW:[[0.879,w],[1.345,n]],stretch:{left:[57511,e],rep:[57512,e],right:[57513,e]}},8657:{dir:d,HW:[[0.879,w],[1.345,n]],stretch:{bot:[57517,e],ext:[57518,e],top:[57519,e]}},8658:{dir:s,HW:[[0.879,w],[1.345,n]],stretch:{left:[57514,e],rep:[57515,e],right:[57516,e]}},8659:{dir:d,HW:[[0.879,w],[1.345,n]],stretch:{bot:[57520,e],ext:[57521,e],top:[57522,e]}},8660:{dir:s,HW:[[0.956,w],[1.422,n]],stretch:{left:[57523,e],rep:[57524,e],right:[57525,e]}},8661:{dir:d,HW:[[0.956,w],[1.422,n]],stretch:{bot:[57526,e],ext:[57527,e],top:[57528,e]}},8662:k,8663:k,8664:k,8665:k,8666:u,8667:u,8668:u,8669:u,8678:u,8679:k,8680:u,8681:k,8691:k,8693:k,8694:u,8719:k,8720:k,8721:k,8722:{dir:s,HW:[],stretch:{rep:[8722,w,0,0,0,-0.31,-0.31]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1,w],[1.2,n],[1.8,m],[2.4,l],[3,j]],stretch:{bot:[9143,v],ext:[57651,e],top:[57652,e]}},8739:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},8741:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8747:k,8748:k,8749:k,8750:k,8751:k,8752:k,8753:k,8754:k,8755:k,8801:u,8803:u,8866:k,8867:k,8868:k,8869:k,8896:k,8897:k,8898:k,8899:k,8968:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{ext:[9122,v],top:[9121,v]}},8969:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{ext:[9125,v],top:[9124,v]}},8970:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9123,v],ext:[9122,v]}},8971:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9126,v],ext:[9125,v]}},8978:{alias:9180,dir:s},8994:{alias:9180,dir:s},8995:{alias:9181,dir:s},9001:{dir:d,HW:[[1,v],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},9002:{dir:d,HW:[[1,v],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},9130:{dir:d,HW:[[0.748,v]],stretch:{ext:[9130,v]}},9135:{alias:8722,dir:s},9136:{dir:d,HW:[[0.75,v,null,9127]],stretch:{top:[9127,v],ext:[9130,v],bot:[9133,v]}},9137:{dir:d,HW:[[0.75,v,null,9131]],stretch:{top:[9131,v],ext:[9130,v],bot:[9129,v]}},9140:u,9141:u,9168:{dir:d,HW:[[1,w,null,124],[1.309,w,1.309,124],[1.771,w,1.771,124],[2.233,w,2.233,124],[2.695,w,2.695,124]],stretch:{ext:[124,w]}},9180:u,9181:u,9182:{dir:s,HW:[[0.492,w],[0.993,n],[1.494,m],[1.996,l],[2.498,j],[3,h],[3.502,g],[4.006,e]],stretch:{left:[57613,e],rep:[57614,e],mid:[57615,e],right:[57616,e]}},9183:{dir:s,HW:[[0.492,w],[0.993,n],[1.494,m],[1.996,l],[2.498,j],[3,h],[3.502,g],[4.006,e]],stretch:{left:[57617,e],rep:[57618,e],mid:[57619,e],right:[57620,e]}},9184:u,9185:u,9472:{alias:8722,dir:s},10145:u,10214:k,10215:k,10216:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},10217:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},10218:k,10219:k,10222:{dir:d,HW:[[1.024,w],[1.126,n],[1.228,m],[1.482,l],[1.836,j],[2.14,h],[2.444,g],[3.052,e]],stretch:{bot:[57601,e],ext:[57602,e],top:[57603,e]}},10223:{dir:d,HW:[[1.024,w],[1.126,n],[1.228,m],[1.482,l],[1.836,j],[2.14,h],[2.444,g],[3.052,e]],stretch:{bot:[57604,e],ext:[57605,e],top:[57606,e]}},10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:{dir:s,HW:[[0.879,x],[1.325,n]],stretch:{left:[57541,e],rep:[57542,e],right:[57543,e]}},10503:{dir:s,HW:[[0.879,x],[1.325,n]],stretch:{left:[57544,e],rep:[57545,e],right:[57546,e]}},10752:k,10753:k,10754:k,10755:k,10756:k,10757:k,10758:k,10761:k,10764:k,10769:k,11012:u,11013:u,11014:k,11015:k,11020:u,11021:k,11057:u,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(r.fontDir+"/Main/Regular/Main.js",function(){r.FONTDATA.FONTS[w][8722][0]=r.FONTDATA.FONTS[w][43][0];r.FONTDATA.FONTS[w][8722][1]=r.FONTDATA.FONTS[w][43][1]});MathJax.Hub.Register.LoadHook(r.fontDir+"/Size7/Regular/Main.js",function(){var G;G=r.FONTDATA.DELIMITERS[9182].stretch.rep[0];r.FONTDATA.FONTS[e][G][0]+=200;r.FONTDATA.FONTS[e][G][1]+=200;G=r.FONTDATA.DELIMITERS[9183].stretch.rep[0];r.FONTDATA.FONTS[e][G][0]+=200;r.FONTDATA.FONTS[e][G][1]+=200});MathJax.Hub.Register.LoadHook(r.fontDir+"/Size1/Regular/Main.js",function(){r.FONTDATA.FONTS[n][8747][2]-=425;r.FONTDATA.FONTS[n][8747][5]={rfix:-425};r.FONTDATA.FONTS[n][8748][2]-=425;r.FONTDATA.FONTS[n][8748][5]={rfix:-425};r.FONTDATA.FONTS[n][8749][2]-=425;r.FONTDATA.FONTS[n][8749][5]={rfix:-425};r.FONTDATA.FONTS[n][8750][2]-=425;r.FONTDATA.FONTS[n][8750][5]={rfix:-425};r.FONTDATA.FONTS[n][8751][2]-=425;r.FONTDATA.FONTS[n][8751][5]={rfix:-425};r.FONTDATA.FONTS[n][8752][2]-=425;r.FONTDATA.FONTS[n][8752][5]={rfix:-425};r.FONTDATA.FONTS[n][8753][2]-=425;r.FONTDATA.FONTS[n][8753][5]={rfix:-425};r.FONTDATA.FONTS[n][8754][2]-=425;r.FONTDATA.FONTS[n][8754][5]={rfix:-425};r.FONTDATA.FONTS[n][8755][2]-=425;r.FONTDATA.FONTS[n][8755][5]={rfix:-425};r.FONTDATA.FONTS[n][10764][2]-=425;r.FONTDATA.FONTS[n][10764][5]={rfix:-425};r.FONTDATA.FONTS[n][10769][2]-=425;r.FONTDATA.FONTS[n][10769][5]={rfix:-425}});E.loadComplete(r.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(r,f,E){var B="2.7.9";var c="LatinModernMathJax_Alphabets",x="LatinModernMathJax_Arrows",z="LatinModernMathJax_DoubleStruck",C="LatinModernMathJax_Fraktur",i="LatinModernMathJax_Latin",w="LatinModernMathJax_Main",o="LatinModernMathJax_Marks",y="LatinModernMathJax_Misc",F="LatinModernMathJax_Monospace",A="LatinModernMathJax_NonUnicode",t="LatinModernMathJax_Normal",D="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",q="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",n="LatinModernMathJax_Size1",m="LatinModernMathJax_Size2",l="LatinModernMathJax_Size3",j="LatinModernMathJax_Size4",h="LatinModernMathJax_Size5",g="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",v="LatinModernMathJax_Symbols",p="LatinModernMathJax_Variants";var s="H",d="V",u={load:"extra",dir:s},k={load:"extra",dir:d};r.Augment({FONTDATA:{version:B,TeX_factor:1.091,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{LatinModernMathJax_Alphabets:"Alphabets/Regular/Main.js",LatinModernMathJax_Arrows:"Arrows/Regular/Main.js",LatinModernMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",LatinModernMathJax_Fraktur:"Fraktur/Regular/Main.js",LatinModernMathJax_Latin:"Latin/Regular/Main.js",LatinModernMathJax_Main:"Main/Regular/Main.js",LatinModernMathJax_Marks:"Marks/Regular/Main.js",LatinModernMathJax_Misc:"Misc/Regular/Main.js",LatinModernMathJax_Monospace:"Monospace/Regular/Main.js",LatinModernMathJax_NonUnicode:"NonUnicode/Regular/Main.js",LatinModernMathJax_Normal:"Normal/Regular/Main.js",LatinModernMathJax_Operators:"Operators/Regular/Main.js",LatinModernMathJax_SansSerif:"SansSerif/Regular/Main.js",LatinModernMathJax_Script:"Script/Regular/Main.js",LatinModernMathJax_Shapes:"Shapes/Regular/Main.js",LatinModernMathJax_Size1:"Size1/Regular/Main.js",LatinModernMathJax_Size2:"Size2/Regular/Main.js",LatinModernMathJax_Size3:"Size3/Regular/Main.js",LatinModernMathJax_Size4:"Size4/Regular/Main.js",LatinModernMathJax_Size5:"Size5/Regular/Main.js",LatinModernMathJax_Size6:"Size6/Regular/Main.js",LatinModernMathJax_Size7:"Size7/Regular/Main.js",LatinModernMathJax_Symbols:"Symbols/Regular/Main.js",LatinModernMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n]},bold:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[z],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Latin-Modern-variant":{fonts:[p,w,t,F,i,c,o,x,D,v,b,y,A,n]},"-tex-caligraphic":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true},"-tex-oldstyle":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n]},"-tex-caligraphic-bold":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],bold:true},"-tex-mathit":{fonts:[w,t,F,i,c,o,x,D,v,b,y,p,A,n],italic:true,noIC:true},"-largeOp":{fonts:[n,w]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.996,w],[1.094,n],[1.194,m],[1.444,l],[1.792,j],[2.092,h],[2.392,g],[2.99,e]],stretch:{bot:[9117,v],ext:[9116,v],top:[9115,v]}},41:{dir:d,HW:[[0.996,w],[1.094,n],[1.194,m],[1.444,l],[1.792,j],[2.092,h],[2.392,g],[2.99,e]],stretch:{bot:[9120,v],ext:[9119,v],top:[9118,v]}},45:{alias:8722,dir:s},47:{dir:d,HW:[[1,w],[1.31,n],[1.716,m],[1.771,m,1.032],[2.248,l],[2.944,j],[3.858,h],[5.054,g],[6.62,e]]},61:{dir:s,HW:[[0.666,w]],stretch:{left:[57344,e],rep:[57345,e],right:[57346,e]}},91:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9123,v],ext:[9122,v],top:[9121,v]}},92:{dir:d,HW:[[1,w],[1.31,n],[1.716,m],[1.771,m,1.032],[2.248,l],[2.944,j],[3.858,h],[5.054,g],[6.62,e]]},93:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9126,v],ext:[9125,v],top:[9124,v]}},94:{alias:770,dir:s},95:{alias:818,dir:s},123:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9129,v],ext:[57347,e],mid:[9128,v],top:[9127,v]}},124:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},125:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9133,v],ext:[57351,e],mid:[9132,v],top:[9131,v]}},126:{alias:771,dir:s},175:{alias:818,dir:s},710:{alias:770,dir:s},713:{alias:8722,dir:s},732:{alias:771,dir:s},770:{dir:s,HW:[[0.364,w],[0.644,n],[0.768,m],[0.919,l],[1.1,j],[1.32,h],[1.581,g],[1.896,e]]},771:{dir:s,HW:[[0.37,w],[0.652,n],[0.778,m],[0.931,l],[1.115,j],[1.335,h],[1.599,g],[1.915,e]]},773:{dir:s,HW:[[0.392,o],[0.568,n]],stretch:{left:[57595,e],rep:[57596,e],right:[57597,e]}},774:u,780:{dir:s,HW:[[0.364,w],[0.644,n],[0.768,m],[0.919,l],[1.1,j],[1.32,h],[1.581,g],[1.896,e]]},785:u,812:u,813:u,814:u,815:u,816:u,818:{dir:s,HW:[[0.392,o],[0.568,n]],stretch:{left:[57589,e],rep:[57590,e],right:[57591,e]}},819:u,831:u,8213:{alias:8722,dir:s},8214:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8215:{alias:8722,dir:s},8254:{alias:8722,dir:s},8260:{dir:d,HW:[[1,w],[1.31,n],[1.716,m],[2.248,l],[2.944,j],[3.858,h],[5.054,g],[6.62,e]]},8400:u,8401:u,8406:u,8407:u,8417:u,8425:u,8428:u,8429:u,8430:u,8431:u,8592:{dir:s,HW:[[0.885,w],[1.351,n]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},8593:{dir:d,HW:[[0.882,w],[1.348,n]],stretch:{bot:[57385,e],ext:[57386,e],top:[57387,e]}},8594:{dir:s,HW:[[0.885,w],[1.351,n]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},8595:{dir:d,HW:[[0.882,w],[1.348,n]],stretch:{bot:[57388,e],ext:[57389,e],top:[57390,e]}},8596:{dir:s,HW:[[0.884,w],[1.33,n]],stretch:{left:[57399,e],rep:[57400,e],right:[57401,e]}},8597:{dir:d,HW:[[1.014,w],[1.014,n]],stretch:{bot:[57402,e],ext:[57403,e],top:[57404,e]}},8598:k,8599:k,8600:k,8601:k,8602:u,8603:u,8606:u,8607:k,8608:u,8609:k,8610:u,8611:u,8612:{dir:s,HW:[[0.865,x],[1.331,n]],stretch:{left:[57427,e],rep:[57428,e],right:[57429,e]}},8613:k,8614:{dir:s,HW:[[0.865,w],[1.331,n]],stretch:{left:[57430,e],rep:[57431,e],right:[57432,e]}},8615:k,8617:u,8618:u,8619:u,8620:u,8621:u,8622:u,8624:k,8625:k,8626:k,8627:k,8630:u,8631:u,8636:u,8637:u,8638:k,8639:k,8640:u,8641:u,8642:k,8643:k,8644:u,8645:k,8646:u,8647:u,8648:k,8649:u,8650:k,8651:u,8652:u,8653:u,8654:u,8655:u,8656:{dir:s,HW:[[0.879,w],[1.345,n]],stretch:{left:[57511,e],rep:[57512,e],right:[57513,e]}},8657:{dir:d,HW:[[0.879,w],[1.345,n]],stretch:{bot:[57517,e],ext:[57518,e],top:[57519,e]}},8658:{dir:s,HW:[[0.879,w],[1.345,n]],stretch:{left:[57514,e],rep:[57515,e],right:[57516,e]}},8659:{dir:d,HW:[[0.879,w],[1.345,n]],stretch:{bot:[57520,e],ext:[57521,e],top:[57522,e]}},8660:{dir:s,HW:[[0.956,w],[1.422,n]],stretch:{left:[57523,e],rep:[57524,e],right:[57525,e]}},8661:{dir:d,HW:[[0.956,w],[1.422,n]],stretch:{bot:[57526,e],ext:[57527,e],top:[57528,e]}},8662:k,8663:k,8664:k,8665:k,8666:u,8667:u,8668:u,8669:u,8678:u,8679:k,8680:u,8681:k,8691:k,8693:k,8694:u,8719:k,8720:k,8721:k,8722:{dir:s,HW:[],stretch:{rep:[8722,w,0,0,0,-0.31,-0.31]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1,w],[1.2,n],[1.8,m],[2.4,l],[3,j]],stretch:{bot:[9143,v],ext:[57651,e],top:[57652,e]}},8739:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},8741:{dir:d,HW:[[1,w],[1.202,n],[1.444,m],[1.734,l],[2.084,j],[2.502,h],[3.004,g],[3.606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8747:k,8748:k,8749:k,8750:k,8751:k,8752:k,8753:k,8754:k,8755:k,8801:u,8803:u,8866:k,8867:k,8868:k,8869:k,8896:k,8897:k,8898:k,8899:k,8968:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{ext:[9122,v],top:[9121,v]}},8969:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{ext:[9125,v],top:[9124,v]}},8970:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9123,v],ext:[9122,v]}},8971:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]],stretch:{bot:[9126,v],ext:[9125,v]}},8978:{alias:9180,dir:s},8994:{alias:9180,dir:s},8995:{alias:9181,dir:s},9001:{dir:d,HW:[[1,v],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},9002:{dir:d,HW:[[1,v],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},9130:{dir:d,HW:[[0.748,v]],stretch:{ext:[9130,v]}},9135:{alias:8722,dir:s},9136:{dir:d,HW:[[0.75,v,null,9127]],stretch:{top:[9127,v],ext:[9130,v],bot:[9133,v]}},9137:{dir:d,HW:[[0.75,v,null,9131]],stretch:{top:[9131,v],ext:[9130,v],bot:[9129,v]}},9140:u,9141:u,9168:{dir:d,HW:[[1,w,null,124],[1.309,w,1.309,124],[1.771,w,1.771,124],[2.233,w,2.233,124],[2.695,w,2.695,124]],stretch:{ext:[124,w]}},9180:u,9181:u,9182:{dir:s,HW:[[0.492,w],[0.993,n],[1.494,m],[1.996,l],[2.498,j],[3,h],[3.502,g],[4.006,e]],stretch:{left:[57613,e],rep:[57614,e],mid:[57615,e],right:[57616,e]}},9183:{dir:s,HW:[[0.492,w],[0.993,n],[1.494,m],[1.996,l],[2.498,j],[3,h],[3.502,g],[4.006,e]],stretch:{left:[57617,e],rep:[57618,e],mid:[57619,e],right:[57620,e]}},9184:u,9185:u,9472:{alias:8722,dir:s},10145:u,10214:k,10215:k,10216:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},10217:{dir:d,HW:[[1,w],[1.1,n],[1.2,m],[1.45,l],[1.8,j],[2.1,h],[2.4,g],[3,e]]},10218:k,10219:k,10222:{dir:d,HW:[[1.024,w],[1.126,n],[1.228,m],[1.482,l],[1.836,j],[2.14,h],[2.444,g],[3.052,e]],stretch:{bot:[57601,e],ext:[57602,e],top:[57603,e]}},10223:{dir:d,HW:[[1.024,w],[1.126,n],[1.228,m],[1.482,l],[1.836,j],[2.14,h],[2.444,g],[3.052,e]],stretch:{bot:[57604,e],ext:[57605,e],top:[57606,e]}},10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:{dir:s,HW:[[0.879,x],[1.325,n]],stretch:{left:[57541,e],rep:[57542,e],right:[57543,e]}},10503:{dir:s,HW:[[0.879,x],[1.325,n]],stretch:{left:[57544,e],rep:[57545,e],right:[57546,e]}},10752:k,10753:k,10754:k,10755:k,10756:k,10757:k,10758:k,10761:k,10764:k,10769:k,11012:u,11013:u,11014:k,11015:k,11020:u,11021:k,11057:u,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(r.fontDir+"/Main/Regular/Main.js",function(){r.FONTDATA.FONTS[w][8722][0]=r.FONTDATA.FONTS[w][43][0];r.FONTDATA.FONTS[w][8722][1]=r.FONTDATA.FONTS[w][43][1]});MathJax.Hub.Register.LoadHook(r.fontDir+"/Size7/Regular/Main.js",function(){var G;G=r.FONTDATA.DELIMITERS[9182].stretch.rep[0];r.FONTDATA.FONTS[e][G][0]+=200;r.FONTDATA.FONTS[e][G][1]+=200;G=r.FONTDATA.DELIMITERS[9183].stretch.rep[0];r.FONTDATA.FONTS[e][G][0]+=200;r.FONTDATA.FONTS[e][G][1]+=200});MathJax.Hub.Register.LoadHook(r.fontDir+"/Size1/Regular/Main.js",function(){r.FONTDATA.FONTS[n][8747][2]-=425;r.FONTDATA.FONTS[n][8747][5]={rfix:-425};r.FONTDATA.FONTS[n][8748][2]-=425;r.FONTDATA.FONTS[n][8748][5]={rfix:-425};r.FONTDATA.FONTS[n][8749][2]-=425;r.FONTDATA.FONTS[n][8749][5]={rfix:-425};r.FONTDATA.FONTS[n][8750][2]-=425;r.FONTDATA.FONTS[n][8750][5]={rfix:-425};r.FONTDATA.FONTS[n][8751][2]-=425;r.FONTDATA.FONTS[n][8751][5]={rfix:-425};r.FONTDATA.FONTS[n][8752][2]-=425;r.FONTDATA.FONTS[n][8752][5]={rfix:-425};r.FONTDATA.FONTS[n][8753][2]-=425;r.FONTDATA.FONTS[n][8753][5]={rfix:-425};r.FONTDATA.FONTS[n][8754][2]-=425;r.FONTDATA.FONTS[n][8754][5]={rfix:-425};r.FONTDATA.FONTS[n][8755][2]-=425;r.FONTDATA.FONTS[n][8755][5]={rfix:-425};r.FONTDATA.FONTS[n][10764][2]-=425;r.FONTDATA.FONTS[n][10764][5]={rfix:-425};r.FONTDATA.FONTS[n][10769][2]-=425;r.FONTDATA.FONTS[n][10769][5]={rfix:-425}});E.loadComplete(r.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js
index f4e3255fc4..312fb3e750 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js
index 1a8c3859d9..d8b98d54da 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js
index 1599b37107..7797b1350a 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js
index 056eea9567..fbf9d4eeaa 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js
index 6ece4edfa2..c3d4d0fd67 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js
index ed21b9ee44..dd53731c8b 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js
index fa1d664409..979e98b24e 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js
index 17d45889a6..b00d3fce80 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js
index aff6707405..80dc6d63e9 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js
index bbd9cb3833..71aa19e960 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js
index 84a7789931..b3ba0340af 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js
index f44d1c32fc..dd7247872b 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js
index 7ca0fc9585..57bc5336ba 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js
index b45af8e488..d51e24f12d 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js
index ec66fbc12f..c7446628f9 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js
index 5f9abef6cf..4c3af9d0dd 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js b/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js
index 9dbe86a435..461a00e6e4 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js b/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js
index 2e5263603a..9634f990ee 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(n){var w="2.7.6";var l=n.FONTDATA.DELIMITERS;var o="H",d="V";var b="NeoEulerMathJax_Alphabets",t="NeoEulerMathJax_Arrows",x="NeoEulerMathJax_Fraktur",s="NeoEulerMathJax_Main",i="NeoEulerMathJax_Marks",v="NeoEulerMathJax_NonUnicode",p="NeoEulerMathJax_Normal",y="NeoEulerMathJax_Operators",m="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",j="NeoEulerMathJax_Size1",h="NeoEulerMathJax_Size2",g="NeoEulerMathJax_Size3",f="NeoEulerMathJax_Size4",e="NeoEulerMathJax_Size5",r="NeoEulerMathJax_Symbols",k="NeoEulerMathJax_Variants",u="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Normal";var z={8260:{dir:d,HW:[[0.912,s],[1.199,j],[1.799,h],[2.399,g],[2.999,f]]},8417:{dir:o,HW:[[0.449,i]],stretch:{left:[8406,i],rep:[57348,e],right:[8407,s]}},8430:{dir:o,HW:[[0.418,i]],stretch:{left:[8430,i],rep:[57349,e]}},8431:{dir:o,HW:[[0.418,i]],stretch:{rep:[57349,e],right:[8431,i]}},8719:{dir:d,HW:[[1,y],[1.4,j]]},8720:{dir:d,HW:[[1,y],[1.4,j]]},8721:{dir:d,HW:[[1,y],[1.4,j]]},8743:{dir:d,HW:[[0.718,s],[0.998,j],[1.395,h]]},8744:{dir:d,HW:[[0.7,s],[0.998,j],[1.395,h]]},8745:{dir:d,HW:[[0.6,s],[0.965,j],[1.358,h]]},8746:{dir:d,HW:[[0.6,s],[0.965,j],[1.358,h]]},8747:{dir:d,HW:[[1.111,s],[2.222,j]]},8748:{dir:d,HW:[[1.111,y],[2.222,j]]},8749:{dir:d,HW:[[1.111,y],[2.222,j]]},8750:{dir:d,HW:[[1.111,y],[2.222,j]]},8846:{dir:d,HW:[[0.6,s],[0.965,j],[1.358,h]]},8896:{dir:d,HW:[[0.718,y],[0.998,j],[1.395,h]]},8897:{dir:d,HW:[[0.7,y],[0.998,j],[1.395,h]]},8898:{dir:d,HW:[[0.6,y],[0.965,j],[1.358,h]]},8899:{dir:d,HW:[[0.6,y],[0.965,j],[1.358,h]]},9180:{dir:o,HW:[[0.925,s],[1.199,j],[1.799,h],[2.399,g],[2.999,f]],stretch:{left:[57353,e],rep:[57354,e],right:[57355,e]}},9181:{dir:o,HW:[[0.925,s],[1.199,j],[1.799,h],[2.399,g],[2.999,f]],stretch:{left:[57356,e],rep:[57357,e],right:[57358,e]}},10764:{dir:d,HW:[[1.111,y],[2.222,j]]}};for(var q in z){if(z.hasOwnProperty(q)){l[q]=z[q]}}MathJax.Ajax.loadComplete(n.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(n){var w="2.7.9";var l=n.FONTDATA.DELIMITERS;var o="H",d="V";var b="NeoEulerMathJax_Alphabets",t="NeoEulerMathJax_Arrows",x="NeoEulerMathJax_Fraktur",s="NeoEulerMathJax_Main",i="NeoEulerMathJax_Marks",v="NeoEulerMathJax_NonUnicode",p="NeoEulerMathJax_Normal",y="NeoEulerMathJax_Operators",m="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",j="NeoEulerMathJax_Size1",h="NeoEulerMathJax_Size2",g="NeoEulerMathJax_Size3",f="NeoEulerMathJax_Size4",e="NeoEulerMathJax_Size5",r="NeoEulerMathJax_Symbols",k="NeoEulerMathJax_Variants",u="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Normal";var z={8260:{dir:d,HW:[[0.912,s],[1.199,j],[1.799,h],[2.399,g],[2.999,f]]},8417:{dir:o,HW:[[0.449,i]],stretch:{left:[8406,i],rep:[57348,e],right:[8407,s]}},8430:{dir:o,HW:[[0.418,i]],stretch:{left:[8430,i],rep:[57349,e]}},8431:{dir:o,HW:[[0.418,i]],stretch:{rep:[57349,e],right:[8431,i]}},8719:{dir:d,HW:[[1,y],[1.4,j]]},8720:{dir:d,HW:[[1,y],[1.4,j]]},8721:{dir:d,HW:[[1,y],[1.4,j]]},8743:{dir:d,HW:[[0.718,s],[0.998,j],[1.395,h]]},8744:{dir:d,HW:[[0.7,s],[0.998,j],[1.395,h]]},8745:{dir:d,HW:[[0.6,s],[0.965,j],[1.358,h]]},8746:{dir:d,HW:[[0.6,s],[0.965,j],[1.358,h]]},8747:{dir:d,HW:[[1.111,s],[2.222,j]]},8748:{dir:d,HW:[[1.111,y],[2.222,j]]},8749:{dir:d,HW:[[1.111,y],[2.222,j]]},8750:{dir:d,HW:[[1.111,y],[2.222,j]]},8846:{dir:d,HW:[[0.6,s],[0.965,j],[1.358,h]]},8896:{dir:d,HW:[[0.718,y],[0.998,j],[1.395,h]]},8897:{dir:d,HW:[[0.7,y],[0.998,j],[1.395,h]]},8898:{dir:d,HW:[[0.6,y],[0.965,j],[1.358,h]]},8899:{dir:d,HW:[[0.6,y],[0.965,j],[1.358,h]]},9180:{dir:o,HW:[[0.925,s],[1.199,j],[1.799,h],[2.399,g],[2.999,f]],stretch:{left:[57353,e],rep:[57354,e],right:[57355,e]}},9181:{dir:o,HW:[[0.925,s],[1.199,j],[1.799,h],[2.399,g],[2.999,f]],stretch:{left:[57356,e],rep:[57357,e],right:[57358,e]}},10764:{dir:d,HW:[[1.111,y],[2.222,j]]}};for(var q in z){if(z.hasOwnProperty(q)){l[q]=z[q]}}MathJax.Ajax.loadComplete(n.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js b/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js
index 7ef4ce0f38..2aa69b810c 100644
--- a/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(o,e,A){var x="2.7.6";var b="NeoEulerMathJax_Alphabets",u="NeoEulerMathJax_Arrows",y="NeoEulerMathJax_Fraktur",t="NeoEulerMathJax_Main",k="NeoEulerMathJax_Marks",w="NeoEulerMathJax_NonUnicode",q="NeoEulerMathJax_Normal",z="NeoEulerMathJax_Operators",n="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",l="NeoEulerMathJax_Size1",j="NeoEulerMathJax_Size2",i="NeoEulerMathJax_Size3",g="NeoEulerMathJax_Size4",f="NeoEulerMathJax_Size5",s="NeoEulerMathJax_Symbols",m="NeoEulerMathJax_Variants",v="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",B="NeoEulerMathJax_Normal";var p="H",d="V",r={load:"extra",dir:p},h={load:"extra",dir:d};o.Augment({FONTDATA:{version:x,TeX_factor:0.958,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{NeoEulerMathJax_Alphabets:"Alphabets/Regular/Main.js",NeoEulerMathJax_Arrows:"Arrows/Regular/Main.js",NeoEulerMathJax_Fraktur:"Fraktur/Regular/Main.js",NeoEulerMathJax_Main:"Main/Regular/Main.js",NeoEulerMathJax_Marks:"Marks/Regular/Main.js",NeoEulerMathJax_NonUnicode:"NonUnicode/Regular/Main.js",NeoEulerMathJax_Normal:"Normal/Regular/Main.js",NeoEulerMathJax_Operators:"Operators/Regular/Main.js",NeoEulerMathJax_Script:"Script/Regular/Main.js",NeoEulerMathJax_Shapes:"Shapes/Regular/Main.js",NeoEulerMathJax_Size1:"Size1/Regular/Main.js",NeoEulerMathJax_Size2:"Size2/Regular/Main.js",NeoEulerMathJax_Size3:"Size3/Regular/Main.js",NeoEulerMathJax_Size4:"Size4/Regular/Main.js",NeoEulerMathJax_Size5:"Size5/Regular/Main.js",NeoEulerMathJax_Symbols:"Symbols/Regular/Main.js",NeoEulerMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[t,q,b,k,u,z,s,c,m,w,l]},bold:{fonts:[t,q,b,k,u,z,s,c,m,w,l],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true},"bold-italic":{fonts:[t,q,b,k,u,z,s,c,m,w,l],bold:true,italic:true},"double-struck":{fonts:[v],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[y],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[y],bold:true,offsetA:120172},script:{fonts:[n],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[n],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[B],offsetA:120432,offsetN:120822},"-Neo-Euler-variant":{fonts:[m,t,q,b,k,u,z,s,c,w,l]},"-tex-caligraphic":{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[m,t,q,b,k,u,z,s,c,w,l]},"-tex-caligraphic-bold":{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[t,q,b,k,u,z,s,c,m,w,l],bold:true},"-tex-mathit":{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true,noIC:true},"-largeOp":{fonts:[l,t]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,8432:42,8226:8729,8931:"\u2292\u0338",8930:"\u2291\u0338",12296:10216,713:175,8215:95,8428:8641,8429:8637,10799:215,8400:8636,8401:8640,978:933,8212:175,8213:175,12297:10217,65079:9182,65080:9183,697:8242,10072:8739,8254:175},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.925,t],[1.198,l],[1.798,j],[1.961,j,1.091],[2.398,i],[2.998,g]],stretch:{bot:[9117,s],ext:[9116,s],top:[9115,s]}},41:{dir:d,HW:[[0.925,t],[1.198,l],[1.798,j],[1.961,j,1.091],[2.398,i],[2.998,g]],stretch:{bot:[9120,s],ext:[9119,s],top:[9118,s]}},45:{alias:175,dir:p},47:{dir:d,HW:[[0.912,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]]},61:{dir:p,HW:[[0.668,t]],stretch:{rep:[61,t]}},91:{dir:d,HW:[[0.866,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9123,s],ext:[9122,s],top:[9121,s]}},92:{dir:d,HW:[[0.914,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]]},93:{dir:d,HW:[[0.866,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9126,s],ext:[9125,s],top:[9124,s]}},95:{alias:175,dir:p},123:{dir:d,HW:[[0.908,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9129,s],ext:[9130,s],mid:[9128,s],top:[9127,s]}},124:{dir:d,HW:[[0.905,t],[1.505,l],[2.105,j],[2.706,i],[3.306,g]],stretch:{bot:[57344,f],ext:[57345,f]}},125:{dir:d,HW:[[0.908,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9133,s],ext:[9130,s],mid:[9132,s],top:[9131,s]}},175:{dir:p,HW:[[0.312,t]],stretch:{rep:[175,t]}},201:{alias:175,dir:p},818:{alias:175,dir:p},8213:{alias:175,dir:p},8214:{dir:d,HW:[[0.905,t],[1.505,l],[2.105,j],[2.706,i],[3.306,g]],stretch:{bot:[57346,f],ext:[57347,f]}},8215:{alias:175,dir:p},8254:{alias:175,dir:p},8260:h,8406:{dir:p,HW:[[0.418,k]],stretch:{left:[8406,k],rep:[57348,f]}},8407:{dir:p,HW:[[0.418,t]],stretch:{rep:[57348,f],right:[8407,t]}},8417:r,8430:r,8431:r,8592:{alias:8406,dir:p},8593:{dir:d,HW:[[0.887,t]],stretch:{top:[8593,t],ext:[124,t]}},8594:{alias:8407,dir:p},8595:{dir:d,HW:[[0.867,t]],stretch:{ext:[124,t],bot:[8595,t]}},8596:{alias:8417,dir:p},8597:{dir:d,HW:[[1.042,t]],stretch:{top:[8593,t],ext:[124,t],bot:[8595,t]}},8656:{dir:p,HW:[[0.867,t],[1.567,l]]},8657:{dir:p,HW:[[0.64,t]],stretch:{top:[8657,t],ext:[8214,t]}},8658:{dir:p,HW:[[0.867,t],[1.567,l]]},8659:{dir:p,HW:[[0.64,t]],stretch:{ext:[8214,t],bot:[8659,t]}},8660:{dir:p,HW:[[0.867,t,null,8656],[1.632,l]]},8661:{dir:p,HW:[[0.64,t]],stretch:{top:[8657,t],ext:[8214,t],bot:[8659,t]}},8719:h,8720:h,8721:h,8722:{dir:p,HW:[],stretch:{rep:[8722,t,0,0,0,-0.31,-0.31]}},8725:{dir:d,HW:[[0.912,t],[1.199,l],[1.799,j],[2.399,i],[2.999,g]]},8730:{dir:d,HW:[[0.989,t],[1.209,l],[1.801,j],[2.403,i],[3.003,g]],stretch:{bot:[57350,f],ext:[57351,f],top:[57352,f]}},8739:{dir:d,HW:[[0.795,t],[1.505,l],[2.105,j],[2.706,i],[3.306,g]]},8741:{dir:d,HW:[[0.905,t],[0.905,l],[1.505,j],[2.105,i],[2.706,g],[3.306,f]],stretch:{bot:[57346,f],ext:[57347,f]}},8743:h,8744:h,8745:h,8746:h,8747:h,8748:h,8749:h,8750:h,8846:h,8896:h,8897:h,8898:h,8899:h,8968:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{ext:[9122,s],top:[9121,s]}},8969:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{ext:[9125,s],top:[9124,s]}},8970:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9123,s],ext:[9122,s]}},8971:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9126,s],ext:[9125,s]}},8978:{alias:9180,dir:p},8994:{alias:9180,dir:p},8995:{alias:9181,dir:p},9001:{dir:d,HW:[[0.974,s],[1.176,l],[1.77,j],[2.366,i],[2.958,g]]},9002:{dir:d,HW:[[0.974,s],[1.176,l],[1.77,j],[2.366,i],[2.958,g]]},9130:{dir:d,HW:[[0.32,s]],stretch:{ext:[9130,s]}},9135:{alias:175,dir:p},9136:{dir:d,HW:[[0.909,s,null,9127]],stretch:{top:[9127,s],ext:[9130,s],bot:[9133,s]}},9137:{dir:d,HW:[[0.909,s,null,9131]],stretch:{top:[9131,s],ext:[9130,s],bot:[9129,s]}},9168:{dir:d,HW:[[0.905,t,null,124],[1.15,t,1.271,124],[1.556,t,1.719,124],[1.961,t,2.167,124],[2.367,t,2.615,124]],stretch:{ext:[124,t]}},9180:r,9181:r,9182:{dir:p,HW:[[0.908,t],[1.199,l],[1.799,j],[2.399,i],[2.999,g]],stretch:{left:[57359,f],rep:[57360,f],mid:[57361,f],right:[57362,f]}},9183:{dir:p,HW:[[0.908,t],[1.199,l],[1.799,j],[2.399,i],[2.999,g]],stretch:{left:[57363,f],rep:[57364,f],mid:[57365,f],right:[57366,f]}},9472:{alias:175,dir:p},10072:{alias:9168,dir:d},10216:{dir:d,HW:[[0.974,t],[0.974,l],[1.176,j],[1.77,i],[2.366,g],[2.958,f]]},10217:{dir:d,HW:[[0.974,t],[0.974,l],[1.176,j],[1.77,i],[2.366,g],[2.958,f]]},10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8406,dir:p},10230:{alias:8407,dir:p},10231:{alias:8417,dir:p},10232:{alias:8656,dir:p},10233:{alias:8658,dir:p},10234:{alias:8660,dir:p},10235:{alias:8406,dir:p},10236:{alias:8407,dir:p},10237:{alias:8656,dir:p},10238:{alias:8658,dir:p},10764:h,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:p},65080:{alias:9183,dir:p}}}});MathJax.Hub.Register.LoadHook(o.fontDir+"/Main/Regular/Main.js",function(){o.FONTDATA.FONTS[t][8722][0]=o.FONTDATA.FONTS[t][43][0];o.FONTDATA.FONTS[t][8722][1]=o.FONTDATA.FONTS[t][43][1]});MathJax.Hub.Register.LoadHook(o.fontDir+"/Size5/Regular/Main.js",function(){var C;C=o.FONTDATA.DELIMITERS[9182].stretch.rep[0];o.FONTDATA.FONTS[f][C][0]+=200;o.FONTDATA.FONTS[f][C][1]+=200;C=o.FONTDATA.DELIMITERS[9183].stretch.rep[0];o.FONTDATA.FONTS[f][C][0]+=200;o.FONTDATA.FONTS[f][C][1]+=200});A.loadComplete(o.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(o,e,A){var x="2.7.9";var b="NeoEulerMathJax_Alphabets",u="NeoEulerMathJax_Arrows",y="NeoEulerMathJax_Fraktur",t="NeoEulerMathJax_Main",k="NeoEulerMathJax_Marks",w="NeoEulerMathJax_NonUnicode",q="NeoEulerMathJax_Normal",z="NeoEulerMathJax_Operators",n="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",l="NeoEulerMathJax_Size1",j="NeoEulerMathJax_Size2",i="NeoEulerMathJax_Size3",g="NeoEulerMathJax_Size4",f="NeoEulerMathJax_Size5",s="NeoEulerMathJax_Symbols",m="NeoEulerMathJax_Variants",v="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",B="NeoEulerMathJax_Normal";var p="H",d="V",r={load:"extra",dir:p},h={load:"extra",dir:d};o.Augment({FONTDATA:{version:x,TeX_factor:0.958,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{NeoEulerMathJax_Alphabets:"Alphabets/Regular/Main.js",NeoEulerMathJax_Arrows:"Arrows/Regular/Main.js",NeoEulerMathJax_Fraktur:"Fraktur/Regular/Main.js",NeoEulerMathJax_Main:"Main/Regular/Main.js",NeoEulerMathJax_Marks:"Marks/Regular/Main.js",NeoEulerMathJax_NonUnicode:"NonUnicode/Regular/Main.js",NeoEulerMathJax_Normal:"Normal/Regular/Main.js",NeoEulerMathJax_Operators:"Operators/Regular/Main.js",NeoEulerMathJax_Script:"Script/Regular/Main.js",NeoEulerMathJax_Shapes:"Shapes/Regular/Main.js",NeoEulerMathJax_Size1:"Size1/Regular/Main.js",NeoEulerMathJax_Size2:"Size2/Regular/Main.js",NeoEulerMathJax_Size3:"Size3/Regular/Main.js",NeoEulerMathJax_Size4:"Size4/Regular/Main.js",NeoEulerMathJax_Size5:"Size5/Regular/Main.js",NeoEulerMathJax_Symbols:"Symbols/Regular/Main.js",NeoEulerMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[t,q,b,k,u,z,s,c,m,w,l]},bold:{fonts:[t,q,b,k,u,z,s,c,m,w,l],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true},"bold-italic":{fonts:[t,q,b,k,u,z,s,c,m,w,l],bold:true,italic:true},"double-struck":{fonts:[v],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[y],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[y],bold:true,offsetA:120172},script:{fonts:[n],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[n],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[B],offsetA:120432,offsetN:120822},"-Neo-Euler-variant":{fonts:[m,t,q,b,k,u,z,s,c,w,l]},"-tex-caligraphic":{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[m,t,q,b,k,u,z,s,c,w,l]},"-tex-caligraphic-bold":{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[t,q,b,k,u,z,s,c,m,w,l],bold:true},"-tex-mathit":{fonts:[t,q,b,k,u,z,s,c,m,w,l],italic:true,noIC:true},"-largeOp":{fonts:[l,t]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,8432:42,8226:8729,8931:"\u2292\u0338",8930:"\u2291\u0338",12296:10216,713:175,8215:95,8428:8641,8429:8637,10799:215,8400:8636,8401:8640,978:933,8212:175,8213:175,12297:10217,65079:9182,65080:9183,697:8242,10072:8739,8254:175},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[0.925,t],[1.198,l],[1.798,j],[1.961,j,1.091],[2.398,i],[2.998,g]],stretch:{bot:[9117,s],ext:[9116,s],top:[9115,s]}},41:{dir:d,HW:[[0.925,t],[1.198,l],[1.798,j],[1.961,j,1.091],[2.398,i],[2.998,g]],stretch:{bot:[9120,s],ext:[9119,s],top:[9118,s]}},45:{alias:175,dir:p},47:{dir:d,HW:[[0.912,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]]},61:{dir:p,HW:[[0.668,t]],stretch:{rep:[61,t]}},91:{dir:d,HW:[[0.866,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9123,s],ext:[9122,s],top:[9121,s]}},92:{dir:d,HW:[[0.914,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]]},93:{dir:d,HW:[[0.866,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9126,s],ext:[9125,s],top:[9124,s]}},95:{alias:175,dir:p},123:{dir:d,HW:[[0.908,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9129,s],ext:[9130,s],mid:[9128,s],top:[9127,s]}},124:{dir:d,HW:[[0.905,t],[1.505,l],[2.105,j],[2.706,i],[3.306,g]],stretch:{bot:[57344,f],ext:[57345,f]}},125:{dir:d,HW:[[0.908,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9133,s],ext:[9130,s],mid:[9132,s],top:[9131,s]}},175:{dir:p,HW:[[0.312,t]],stretch:{rep:[175,t]}},201:{alias:175,dir:p},818:{alias:175,dir:p},8213:{alias:175,dir:p},8214:{dir:d,HW:[[0.905,t],[1.505,l],[2.105,j],[2.706,i],[3.306,g]],stretch:{bot:[57346,f],ext:[57347,f]}},8215:{alias:175,dir:p},8254:{alias:175,dir:p},8260:h,8406:{dir:p,HW:[[0.418,k]],stretch:{left:[8406,k],rep:[57348,f]}},8407:{dir:p,HW:[[0.418,t]],stretch:{rep:[57348,f],right:[8407,t]}},8417:r,8430:r,8431:r,8592:{alias:8406,dir:p},8593:{dir:d,HW:[[0.887,t]],stretch:{top:[8593,t],ext:[124,t]}},8594:{alias:8407,dir:p},8595:{dir:d,HW:[[0.867,t]],stretch:{ext:[124,t],bot:[8595,t]}},8596:{alias:8417,dir:p},8597:{dir:d,HW:[[1.042,t]],stretch:{top:[8593,t],ext:[124,t],bot:[8595,t]}},8656:{dir:p,HW:[[0.867,t],[1.567,l]]},8657:{dir:p,HW:[[0.64,t]],stretch:{top:[8657,t],ext:[8214,t]}},8658:{dir:p,HW:[[0.867,t],[1.567,l]]},8659:{dir:p,HW:[[0.64,t]],stretch:{ext:[8214,t],bot:[8659,t]}},8660:{dir:p,HW:[[0.867,t,null,8656],[1.632,l]]},8661:{dir:p,HW:[[0.64,t]],stretch:{top:[8657,t],ext:[8214,t],bot:[8659,t]}},8719:h,8720:h,8721:h,8722:{dir:p,HW:[],stretch:{rep:[8722,t,0,0,0,-0.31,-0.31]}},8725:{dir:d,HW:[[0.912,t],[1.199,l],[1.799,j],[2.399,i],[2.999,g]]},8730:{dir:d,HW:[[0.989,t],[1.209,l],[1.801,j],[2.403,i],[3.003,g]],stretch:{bot:[57350,f],ext:[57351,f],top:[57352,f]}},8739:{dir:d,HW:[[0.795,t],[1.505,l],[2.105,j],[2.706,i],[3.306,g]]},8741:{dir:d,HW:[[0.905,t],[0.905,l],[1.505,j],[2.105,i],[2.706,g],[3.306,f]],stretch:{bot:[57346,f],ext:[57347,f]}},8743:h,8744:h,8745:h,8746:h,8747:h,8748:h,8749:h,8750:h,8846:h,8896:h,8897:h,8898:h,8899:h,8968:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{ext:[9122,s],top:[9121,s]}},8969:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{ext:[9125,s],top:[9124,s]}},8970:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9123,s],ext:[9122,s]}},8971:{dir:d,HW:[[0.98,t],[1.199,l],[1.799,j],[1.961,j,1.09],[2.399,i],[2.999,g]],stretch:{bot:[9126,s],ext:[9125,s]}},8978:{alias:9180,dir:p},8994:{alias:9180,dir:p},8995:{alias:9181,dir:p},9001:{dir:d,HW:[[0.974,s],[1.176,l],[1.77,j],[2.366,i],[2.958,g]]},9002:{dir:d,HW:[[0.974,s],[1.176,l],[1.77,j],[2.366,i],[2.958,g]]},9130:{dir:d,HW:[[0.32,s]],stretch:{ext:[9130,s]}},9135:{alias:175,dir:p},9136:{dir:d,HW:[[0.909,s,null,9127]],stretch:{top:[9127,s],ext:[9130,s],bot:[9133,s]}},9137:{dir:d,HW:[[0.909,s,null,9131]],stretch:{top:[9131,s],ext:[9130,s],bot:[9129,s]}},9168:{dir:d,HW:[[0.905,t,null,124],[1.15,t,1.271,124],[1.556,t,1.719,124],[1.961,t,2.167,124],[2.367,t,2.615,124]],stretch:{ext:[124,t]}},9180:r,9181:r,9182:{dir:p,HW:[[0.908,t],[1.199,l],[1.799,j],[2.399,i],[2.999,g]],stretch:{left:[57359,f],rep:[57360,f],mid:[57361,f],right:[57362,f]}},9183:{dir:p,HW:[[0.908,t],[1.199,l],[1.799,j],[2.399,i],[2.999,g]],stretch:{left:[57363,f],rep:[57364,f],mid:[57365,f],right:[57366,f]}},9472:{alias:175,dir:p},10072:{alias:9168,dir:d},10216:{dir:d,HW:[[0.974,t],[0.974,l],[1.176,j],[1.77,i],[2.366,g],[2.958,f]]},10217:{dir:d,HW:[[0.974,t],[0.974,l],[1.176,j],[1.77,i],[2.366,g],[2.958,f]]},10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8406,dir:p},10230:{alias:8407,dir:p},10231:{alias:8417,dir:p},10232:{alias:8656,dir:p},10233:{alias:8658,dir:p},10234:{alias:8660,dir:p},10235:{alias:8406,dir:p},10236:{alias:8407,dir:p},10237:{alias:8656,dir:p},10238:{alias:8658,dir:p},10764:h,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:p},65080:{alias:9183,dir:p}}}});MathJax.Hub.Register.LoadHook(o.fontDir+"/Main/Regular/Main.js",function(){o.FONTDATA.FONTS[t][8722][0]=o.FONTDATA.FONTS[t][43][0];o.FONTDATA.FONTS[t][8722][1]=o.FONTDATA.FONTS[t][43][1]});MathJax.Hub.Register.LoadHook(o.fontDir+"/Size5/Regular/Main.js",function(){var C;C=o.FONTDATA.DELIMITERS[9182].stretch.rep[0];o.FONTDATA.FONTS[f][C][0]+=200;o.FONTDATA.FONTS[f][C][1]+=200;C=o.FONTDATA.DELIMITERS[9183].stretch.rep[0];o.FONTDATA.FONTS[f][C][0]+=200;o.FONTDATA.FONTS[f][C][1]+=200});A.loadComplete(o.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js
index fb98dafdd0..2dd8e01170 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
index 83185ecf99..ebbf9952c7 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js
index 22b6eaa6b6..23cba345d1 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js
index 16cd75f3e4..a365d078b8 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js
index 63f4498b64..10246b6eda 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js
index 39a6b6e694..3277c60f46 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js
index 345fbebc1b..cd9d0427da 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
index f651b71d4a..dd6a9f66ec 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js
index b9ad204682..10dadb8088 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js
index 85a32c6c10..56c6125d8f 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js
index 04a8f992b0..0495c79e5d 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js
index 47be059972..6550fadeee 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js
index 3e2332520f..165d1ee7c2 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js
index 1a0bd906ad..455d21691f 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js
index 9e0bbbb90c..58bb09acb6 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js
index d35ff71af5..1865303e65 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js
index 4a2da5906a..d3e309c30e 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js
index bec0163703..b940d5c5bc 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js
index 537318be71..11bc159ef7 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js
index 4dbb155597..124191823e 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js
index 5a591b3529..e25c5c0d1c 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js
index 8330acb7d9..83c517f2f4 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js
index 21ad9a6384..eba94d6aa4 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js
index f275158162..9ae2c68bd4 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js
index ecf19fb57b..eede6ff7e2 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js
index ade19780e3..854e4950f8 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js
index a5826bc743..0da575f23a 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js
index fe0837edff..88830bf161 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js
index 6b43ce4bae..d0fda91b8d 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js
index 1fb5c20367..c15ced7f22 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js
index ab11b8ce83..d8b862d4f0 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXMathJax_Normal-bold-italic"]={directory:"Normal/BoldItalic",family:"STIXMathJax_Normal",weight:"bold",style:"italic",testString:"\u00A0\uD835\uDC68\uD835\uDC69\uD835\uDC6A\uD835\uDC6B\uD835\uDC6C\uD835\uDC6D\uD835\uDC6E\uD835\uDC6F\uD835\uDC70\uD835\uDC71\uD835\uDC72\uD835\uDC73\uD835\uDC74\uD835\uDC75",32:[0,0,250,0,0],160:[0,0,250,0,0],119912:[685,0,759,39,724],119913:[669,0,726,42,715],119914:[685,12,701,55,745],119915:[669,0,818,42,790],119916:[669,0,732,42,754],119917:[669,0,635,44,750],119918:[685,12,768,55,768],119919:[669,0,891,42,946],119920:[669,0,502,42,557],119921:[669,12,558,66,646],119922:[669,0,795,42,839],119923:[669,0,744,42,700],119924:[669,0,1016,42,1071],119925:[669,0,869,42,924],119926:[685,16,777,55,755],119927:[669,0,612,42,733],119928:[685,154,810,55,755],119929:[669,0,801,42,784],119930:[685,10,671,55,704],119931:[669,0,568,28,700],119932:[669,10,733,72,810],119933:[669,15,593,66,797],119934:[669,17,925,66,1129],119935:[669,0,808,28,830],119936:[669,0,549,39,725],119937:[669,0,797,66,830],119938:[462,10,581,44,548],119939:[685,8,509,50,487],119940:[462,10,477,44,460],119941:[685,14,595,44,589],119942:[462,10,498,44,459],119943:[685,207,572,44,632],119944:[462,203,527,22,527],119945:[685,10,576,50,543],119946:[620,9,357,55,300],119947:[620,207,431,-18,414],119948:[685,11,580,55,563],119949:[685,9,346,50,310],119950:[467,9,760,33,727],119951:[467,10,559,33,526],119952:[462,10,561,44,539],119953:[469,205,571,-33,554],119954:[462,205,526,44,532],119955:[467,0,441,33,424],119956:[462,11,474,55,419],119957:[592,10,351,44,318],119958:[463,10,535,33,502],119959:[473,14,554,52,539],119960:[473,14,814,52,799],119961:[462,8,587,33,543],119962:[462,205,519,35,522],119963:[462,19,531,35,499],120604:[685,0,759,39,724],120605:[669,0,726,42,715],120606:[669,0,634,42,749],120607:[685,0,632,32,589],120608:[669,0,732,42,754],120609:[669,0,797,66,830],120610:[669,0,891,42,946],120611:[685,16,783,55,755],120612:[669,0,502,42,557],120613:[669,0,795,42,839],120614:[685,0,759,39,724],120615:[669,0,1016,42,1071],120616:[669,0,869,42,924],120617:[669,0,718,57,757],120618:[685,16,777,55,755],120619:[669,0,887,39,942],120620:[669,0,612,42,733],120621:[685,16,783,55,755],120622:[669,0,759,64,787],120623:[669,0,568,28,700],120624:[685,0,641,31,784],120625:[669,0,827,28,799],120626:[669,0,808,28,830],120627:[685,0,694,30,781],120628:[685,0,826,57,815],120629:[669,16,632,43,600],120630:[461,12,624,44,630],120631:[685,205,555,28,583],120632:[462,203,490,44,503],120633:[685,8,538,44,538],120634:[462,10,495,28,451],120635:[685,203,472,44,522],120636:[462,205,517,33,511],120637:[685,11,566,44,555],120638:[462,9,318,55,274],120639:[462,0,560,55,577],120640:[685,16,570,55,537],120641:[449,205,636,33,603],120642:[459,10,523,55,534],120643:[685,203,476,28,487],120644:[462,10,561,44,539],120645:[449,13,579,39,590],120646:[462,205,595,33,562],120647:[462,203,480,39,508],120648:[449,10,592,44,603],120649:[449,7,469,33,502],120650:[462,10,552,33,535],120651:[462,205,706,55,667],120652:[462,204,621,33,676],120653:[462,205,701,33,756],120654:[462,10,687,22,665],120655:[686,10,559,44,559],120656:[461,10,481,44,481],120657:[698,13,607,33,584],120658:[462,15,607,-12,630],120659:[685,205,683,44,655],120660:[462,205,585,44,563],120661:[449,10,868,33,879]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"STIXMathJax_Normal-bold-italic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Normal/BoldItalic/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXMathJax_Normal-bold-italic"]={directory:"Normal/BoldItalic",family:"STIXMathJax_Normal",weight:"bold",style:"italic",testString:"\u00A0\uD835\uDC68\uD835\uDC69\uD835\uDC6A\uD835\uDC6B\uD835\uDC6C\uD835\uDC6D\uD835\uDC6E\uD835\uDC6F\uD835\uDC70\uD835\uDC71\uD835\uDC72\uD835\uDC73\uD835\uDC74\uD835\uDC75",skew:{119912:0.16,119913:0.14,119914:0.12,119915:0.1,119916:0.1,119917:0.1,119918:0.12,119919:0.1,119920:0.1,119921:0.1,119922:0.1,119923:0.05,119924:0.08,119925:0.08,119926:0.12,119927:0.05,119928:0.12,119929:0.1,119930:0.12,119933:-0.05,119934:-0.09,119935:0.12,119936:-0.05,119937:0.1,119938:0.09,119939:0.03,119940:0.09,119941:0.22,119942:0.09,119943:0.19,119944:0.08,119946:0.1,119947:0.16,119949:0.09,119950:0.09,119951:0.05,119952:0.09,119953:0.09,119954:0.1,119955:0.07,119956:0.07,119957:0.09,119958:0.05,119959:0.08,119960:0.1,119961:0.05,119962:0.1,119963:0.07,120604:0.16,120605:0.14,120606:0.09,120607:0.16,120608:0.14,120609:0.14,120610:0.1,120611:0.12,120612:0.1,120613:0.12,120614:0.16,120615:0.11,120616:0.1,120617:0.14,120618:0.14,120619:0.12,120620:0.08,120621:0.14,120622:0.14,120625:0.12,120626:0.14,120628:0.16,120629:0.05,120630:0.05,120631:0.1,120632:0.05,120633:0.12,120634:0.07,120635:0.09,120636:0.07,120637:0.1,120638:0.05,120640:0.07,120641:0.1,120642:0.07,120643:0.12,120644:0.08,120645:0.08,120646:0.1,120647:0.1,120648:0.05,120649:0.05,120650:0.05,120651:0.05,120652:0.09,120654:0.05,120656:0.1,120657:0.1,120658:0.05,120659:0.12,120660:0.1,120661:0.09,},32:[0,0,250,0,0],160:[0,0,250,0,0],119912:[685,0,759,39,724],119913:[669,0,726,42,715],119914:[685,12,701,55,745],119915:[669,0,818,42,790],119916:[669,0,732,42,754],119917:[669,0,635,44,750],119918:[685,12,768,55,768],119919:[669,0,891,42,946],119920:[669,0,502,42,557],119921:[669,12,558,66,646],119922:[669,0,795,42,839],119923:[669,0,744,42,700],119924:[669,0,1016,42,1071],119925:[669,0,869,42,924],119926:[685,16,777,55,755],119927:[669,0,612,42,733],119928:[685,154,810,55,755],119929:[669,0,801,42,784],119930:[685,10,671,55,704],119931:[669,0,568,28,700],119932:[669,10,733,72,810],119933:[669,15,593,66,797],119934:[669,17,925,66,1129],119935:[669,0,808,28,830],119936:[669,0,549,39,725],119937:[669,0,797,66,830],119938:[462,10,581,44,548],119939:[685,8,509,50,487],119940:[462,10,477,44,460],119941:[685,14,595,44,589],119942:[462,10,498,44,459],119943:[685,207,572,44,632],119944:[462,203,527,22,527],119945:[685,10,576,50,543],119946:[620,9,357,55,300],119947:[620,207,431,-18,414],119948:[685,11,580,55,563],119949:[685,9,346,50,310],119950:[467,9,760,33,727],119951:[467,10,559,33,526],119952:[462,10,561,44,539],119953:[469,205,571,-33,554],119954:[462,205,526,44,532],119955:[467,0,441,33,424],119956:[462,11,474,55,419],119957:[592,10,351,44,318],119958:[463,10,535,33,502],119959:[473,14,554,52,539],119960:[473,14,814,52,799],119961:[462,8,587,33,543],119962:[462,205,519,35,522],119963:[462,19,531,35,499],120604:[685,0,759,39,724],120605:[669,0,726,42,715],120606:[669,0,634,42,749],120607:[685,0,632,32,589],120608:[669,0,732,42,754],120609:[669,0,797,66,830],120610:[669,0,891,42,946],120611:[685,16,783,55,755],120612:[669,0,502,42,557],120613:[669,0,795,42,839],120614:[685,0,759,39,724],120615:[669,0,1016,42,1071],120616:[669,0,869,42,924],120617:[669,0,718,57,757],120618:[685,16,777,55,755],120619:[669,0,887,39,942],120620:[669,0,612,42,733],120621:[685,16,783,55,755],120622:[669,0,759,64,787],120623:[669,0,568,28,700],120624:[685,0,641,31,784],120625:[669,0,827,28,799],120626:[669,0,808,28,830],120627:[685,0,694,30,781],120628:[685,0,826,57,815],120629:[669,16,632,43,600],120630:[461,12,624,44,630],120631:[685,205,555,28,583],120632:[462,203,490,44,503],120633:[685,8,538,44,538],120634:[462,10,495,28,451],120635:[685,203,472,44,522],120636:[462,205,517,33,511],120637:[685,11,566,44,555],120638:[462,9,318,55,274],120639:[462,0,560,55,577],120640:[685,16,570,55,537],120641:[449,205,636,33,603],120642:[459,10,523,55,534],120643:[685,203,476,28,487],120644:[462,10,561,44,539],120645:[449,13,579,39,590],120646:[462,205,595,33,562],120647:[462,203,480,39,508],120648:[449,10,592,44,603],120649:[449,7,469,33,502],120650:[462,10,552,33,535],120651:[462,205,706,55,667],120652:[462,204,621,33,676],120653:[462,205,701,33,756],120654:[462,10,687,22,665],120655:[686,10,559,44,559],120656:[461,10,481,44,481],120657:[698,13,607,33,584],120658:[462,15,607,-12,630],120659:[685,205,683,44,655],120660:[462,205,585,44,563],120661:[449,10,868,33,879]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"STIXMathJax_Normal-bold-italic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Normal/BoldItalic/Main.js"]);
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js
index b4a1af1e7e..2ea4631671 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXMathJax_Normal-italic"]={directory:"Normal/Italic",family:"STIXMathJax_Normal",style:"italic",testString:"\u00A0\u210E\uD835\uDC34\uD835\uDC35\uD835\uDC36\uD835\uDC37\uD835\uDC38\uD835\uDC39\uD835\uDC3A\uD835\uDC3B\uD835\uDC3C\uD835\uDC3D\uD835\uDC3E\uD835\uDC3F\uD835\uDC40",32:[0,0,250,0,0],160:[0,0,250,0,0],8462:[668,11,513,45,483],119860:[667,0,717,35,685],119861:[653,0,696,38,686],119862:[659,12,671,50,711],119863:[653,0,790,38,765],119864:[653,0,714,38,734],119865:[653,0,618,38,723],119866:[668,12,734,50,734],119867:[653,0,873,38,923],119868:[653,0,480,38,530],119869:[653,12,540,60,620],119870:[653,0,762,38,802],119871:[653,0,708,38,668],119872:[653,0,1005,38,1055],119873:[653,0,851,38,901],119874:[669,11,732,50,712],119875:[653,0,594,38,704],119876:[667,152,781,50,731],119877:[653,0,740,38,725],119878:[668,10,650,50,680],119879:[653,0,550,25,670],119880:[653,13,705,65,775],119881:[653,16,575,60,760],119882:[653,16,916,60,1101],119883:[653,0,790,25,810],119884:[653,0,535,35,695],119885:[653,0,772,60,802],119886:[441,10,502,40,472],119887:[668,11,470,45,450],119888:[441,11,415,40,400],119889:[668,12,532,40,527],119890:[441,11,445,40,410],119891:[668,187,555,40,615],119892:[441,187,492,20,492],119894:[616,11,311,50,257],119895:[616,187,389,-16,372],119896:[668,11,542,45,527],119897:[668,10,318,45,278],119898:[441,8,710,30,680],119899:[441,8,497,30,467],119900:[441,11,458,40,438],119901:[441,183,489,-30,474],119902:[441,183,458,40,463],119903:[441,0,408,30,393],119904:[441,11,440,50,390],119905:[567,9,313,40,283],119906:[441,9,474,30,444],119907:[458,9,506,72,479],119908:[460,9,775,72,748],119909:[441,9,550,30,510],119910:[440,183,496,30,496],119911:[450,14,499,42,467],120484:[441,11,278,47,235],120485:[441,207,278,-124,246],120546:[667,0,717,35,685],120547:[653,0,696,38,686],120548:[653,0,616,38,721],120549:[667,0,596,30,556],120550:[653,0,714,38,734],120551:[653,0,772,60,802],120552:[653,0,873,38,923],120553:[669,11,737,50,712],120554:[653,0,480,38,530],120555:[653,0,762,38,802],120556:[667,0,718,35,686],120557:[653,0,1005,38,1055],120558:[653,0,851,38,901],120559:[653,0,706,52,741],120560:[669,11,732,50,712],120561:[653,0,873,38,923],120562:[653,0,594,38,704],120563:[669,11,737,50,712],120564:[653,0,735,58,760],120565:[653,0,550,25,670],120566:[668,0,613,28,743],120567:[653,0,772,25,747],120568:[653,0,790,25,810],120569:[667,0,670,28,743],120570:[666,0,800,32,777],120571:[653,15,627,42,600],120572:[441,10,524,40,529],120573:[668,183,493,25,518],120574:[441,187,428,35,458],120575:[668,11,463,40,451],120576:[441,11,484,25,444],120577:[668,183,435,40,480],120578:[441,183,460,30,455],120579:[668,11,484,40,474],120580:[441,11,267,50,227],120581:[441,0,534,50,549],120582:[668,16,541,50,511],120583:[428,183,579,30,549],120584:[446,9,452,50,462],120585:[668,183,433,25,443],120586:[441,11,458,40,438],120587:[428,13,558,35,568],120588:[441,183,502,30,472],120589:[490,183,439,35,464],120590:[428,11,537,40,547],120591:[428,5,442,30,472],120592:[439,11,460,30,445],120593:[441,183,666,50,631],120594:[441,202,595,30,645],120595:[441,183,661,30,711],120596:[441,11,681,20,661],120597:[668,11,471,40,471],120598:[441,11,430,40,430],120599:[678,10,554,20,507],120600:[441,13,561,12,587],120601:[668,183,645,40,620],120602:[441,187,509,40,489],120603:[428,11,856,30,866]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"STIXMathJax_Normal-italic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Normal/Italic/Main.js"]);
+MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXMathJax_Normal-italic"]={directory:"Normal/Italic",family:"STIXMathJax_Normal",style:"italic",testString:"\u00A0\u210E\uD835\uDC34\uD835\uDC35\uD835\uDC36\uD835\uDC37\uD835\uDC38\uD835\uDC39\uD835\uDC3A\uD835\uDC3B\uD835\uDC3C\uD835\uDC3D\uD835\uDC3E\uD835\uDC3F\uD835\uDC40",skew:{119860:0.16,119861:0.14,119862:0.12,119863:0.1,119864:0.1,119865:0.1,119866:0.12,119867:0.1,119868:0.1,119869:0.1,119870:0.1,119871:0.05,119872:0.08,119873:0.08,119874:0.12,119875:0.05,119876:0.12,119877:0.1,119878:0.12,119883:0.12,119884:-0.05,119885:0.1,119886:0.09,119887:0.03,119888:0.09,119889:0.2,119890:0.09,119891:0.19,119892:0.08,119894:0.08,119895:0.16,119897:0.09,119898:0.09,119899:0.05,119900:0.09,119901:0.09,119902:0.1,119903:0.07,119904:0.07,119905:0.07,119906:0.05,119907:0.08,119908:0.1,119909:0.05,119910:0.1,119911:0.07,120484:0.05,120485:0.07,120546:0.16,120547:0.14,120548:0.09,120549:0.16,120550:0.14,120551:0.14,120552:0.1,120553:0.12,120554:0.1,120555:0.12,120556:0.16,120557:0.12,120558:0.1,120559:0.14,120560:0.14,120561:0.12,120562:0.08,120563:0.14,120564:0.14,120567:0.12,120568:0.14,120570:0.16,120571:0.05,120572:0.05,120573:0.1,120574:0.05,120575:0.12,120576:0.07,120577:0.07,120578:0.05,120579:0.09,120580:0.05,120582:0.07,120583:0.1,120584:0.07,120585:0.12,120586:0.08,120587:0.08,120588:0.1,120589:0.1,120590:0.05,120592:0.05,120593:0.05,120594:0.09,120596:0.05,120598:0.1,120599:0.1,120602:0.1,120603:0.07,},32:[0,0,250,0,0],160:[0,0,250,0,0],8462:[668,11,513,45,483],119860:[667,0,717,35,685],119861:[653,0,696,38,686],119862:[659,12,671,50,711],119863:[653,0,790,38,765],119864:[653,0,714,38,734],119865:[653,0,618,38,723],119866:[668,12,734,50,734],119867:[653,0,873,38,923],119868:[653,0,480,38,530],119869:[653,12,540,60,620],119870:[653,0,762,38,802],119871:[653,0,708,38,668],119872:[653,0,1005,38,1055],119873:[653,0,851,38,901],119874:[669,11,732,50,712],119875:[653,0,594,38,704],119876:[667,152,781,50,731],119877:[653,0,740,38,725],119878:[668,10,650,50,680],119879:[653,0,550,25,670],119880:[653,13,705,65,775],119881:[653,16,575,60,760],119882:[653,16,916,60,1101],119883:[653,0,790,25,810],119884:[653,0,535,35,695],119885:[653,0,772,60,802],119886:[441,10,502,40,472],119887:[668,11,470,45,450],119888:[441,11,415,40,400],119889:[668,12,532,40,527],119890:[441,11,445,40,410],119891:[668,187,555,40,615],119892:[441,187,492,20,492],119894:[616,11,311,50,257],119895:[616,187,389,-16,372],119896:[668,11,542,45,527],119897:[668,10,318,45,278],119898:[441,8,710,30,680],119899:[441,8,497,30,467],119900:[441,11,458,40,438],119901:[441,183,489,-30,474],119902:[441,183,458,40,463],119903:[441,0,408,30,393],119904:[441,11,440,50,390],119905:[567,9,313,40,283],119906:[441,9,474,30,444],119907:[458,9,506,72,479],119908:[460,9,775,72,748],119909:[441,9,550,30,510],119910:[440,183,496,30,496],119911:[450,14,499,42,467],120484:[441,11,278,47,235],120485:[441,207,278,-124,246],120546:[667,0,717,35,685],120547:[653,0,696,38,686],120548:[653,0,616,38,721],120549:[667,0,596,30,556],120550:[653,0,714,38,734],120551:[653,0,772,60,802],120552:[653,0,873,38,923],120553:[669,11,737,50,712],120554:[653,0,480,38,530],120555:[653,0,762,38,802],120556:[667,0,718,35,686],120557:[653,0,1005,38,1055],120558:[653,0,851,38,901],120559:[653,0,706,52,741],120560:[669,11,732,50,712],120561:[653,0,873,38,923],120562:[653,0,594,38,704],120563:[669,11,737,50,712],120564:[653,0,735,58,760],120565:[653,0,550,25,670],120566:[668,0,613,28,743],120567:[653,0,772,25,747],120568:[653,0,790,25,810],120569:[667,0,670,28,743],120570:[666,0,800,32,777],120571:[653,15,627,42,600],120572:[441,10,524,40,529],120573:[668,183,493,25,518],120574:[441,187,428,35,458],120575:[668,11,463,40,451],120576:[441,11,484,25,444],120577:[668,183,435,40,480],120578:[441,183,460,30,455],120579:[668,11,484,40,474],120580:[441,11,267,50,227],120581:[441,0,534,50,549],120582:[668,16,541,50,511],120583:[428,183,579,30,549],120584:[446,9,452,50,462],120585:[668,183,433,25,443],120586:[441,11,458,40,438],120587:[428,13,558,35,568],120588:[441,183,502,30,472],120589:[490,183,439,35,464],120590:[428,11,537,40,547],120591:[428,5,442,30,472],120592:[439,11,460,30,445],120593:[441,183,666,50,631],120594:[441,202,595,30,645],120595:[441,183,661,30,711],120596:[441,11,681,20,661],120597:[668,11,471,40,471],120598:[441,11,430,40,430],120599:[678,10,554,20,507],120600:[441,13,561,12,587],120601:[668,183,645,40,620],120602:[441,187,509,40,489],120603:[428,11,856,30,866]};MathJax.Callback.Queue(["initFont",MathJax.OutputJax["HTML-CSS"],"STIXMathJax_Normal-italic"],["loadComplete",MathJax.Ajax,MathJax.OutputJax["HTML-CSS"].fontDir+"/Normal/Italic/Main.js"]);
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js
index 854ac4496c..f8667d2bed 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js
index defd8ac3d5..b34df35159 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js
index 52544d1233..c014f8d1a7 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
index 83e42e993b..81cb996a4e 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js
index 995aa001b3..246c596ef8 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js
index 281abf83d5..3d1bf0ddc7 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js
index 56106a61f3..44d4202307 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js
index 9e570932b7..766d4df551 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js
index 9005d19dec..d24d953477 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js
index e598ddfce7..5c95748f12 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js
index bb42554733..6c7319b695 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js
index 287c9f73ef..bc816ff700 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js
index 66f5df7823..9d773bd2aa 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js
index fa57ca361c..97b9fb2036 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js
index ad2f258a39..3011237cfa 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js
index 65c33f0e9b..49876c41d4 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js
index b5c4ab7db6..061af821cf 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js
index e21f79bf3f..65396c803c 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js
index 77f145358c..9949e7bc5c 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js
index b7868a367a..628befe4e8 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js
index 5635852159..732e45a754 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js
index b5c6bc3293..4da9aa029e 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js
index 54a582010c..30c5a185a9 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js b/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js
index 4912f0e2cb..3cd0520a99 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(aj){var B="2.7.6";var t=aj.FONTDATA.DELIMITERS;var s="H",f="V";var ag=[8722,E,0,0,0,-0.26,-0.26];var u="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",R="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",T="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",Q="STIXMathJax_Main-bold-italic",ak="STIXMathJax_Main-bold",O="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",m="STIXMathJax_Marks-italic",Z="STIXMathJax_Marks",ah="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ad="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",al="STIXMathJax_Monospace",ab="STIXMathJax_Normal-bold-italic",P="STIXMathJax_Normal-bold",S="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",M="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",am="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",N="STIXMathJax_Script-italic",W="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",l="STIXMathJax_Shapes",ae="STIXMathJax_Size1",ac="STIXMathJax_Size2",aa="STIXMathJax_Size3",Y="STIXMathJax_Size4",X="STIXMathJax_Size5",af="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ai="STIXMathJax_Variants-italic",L="STIXMathJax_Variants";var n={61:{dir:s,HW:[[0.589,E]],stretch:{rep:[61,E]}},711:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},717:{dir:s,HW:[[0.312,Z]],stretch:{rep:[717,Z]}},759:{dir:s,HW:[[0.33,Z],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},8400:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57365,X],rep:[57366,X]}},8401:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57366,X],right:[57367,X]}},8406:{dir:s,HW:[[0.436,Z],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57368,X],rep:[57366,X]}},8417:{dir:s,HW:[[0.478,Z]],stretch:{left:[57368,X],rep:[57366,X],right:[57369,X]}},8428:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57370,X],right:[57371,X]}},8429:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57372,X],rep:[57370,X]}},8430:{dir:s,HW:[[0.436,Z],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57373,X],rep:[57370,X]}},8431:{dir:s,HW:[[0.436,Z],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57370,X],right:[57374,X]}},8512:{dir:f,HW:[[1.022,b],[1.45,ae]]},8606:{dir:s,HW:[[0.786,E]],stretch:{left:[8606,E],rep:ag}},8607:{dir:f,HW:[[0.816,x]],stretch:{ext:[9168,E],top:[8607,x]}},8608:{dir:s,HW:[[0.786,E]],stretch:{right:[8608,E],rep:ag}},8609:{dir:f,HW:[[0.816,x]],stretch:{ext:[9168,E],bot:[8609,x]}},8612:{dir:s,HW:[[0.787,x]],stretch:{left:[8592,E],rep:[9135,v],right:[10206,v]}},8613:{dir:f,HW:[[0.816,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8593,E]}},8614:{dir:s,HW:[[0.787,E]],stretch:{left:[10205,v],rep:[9135,v],right:[8594,E]}},8615:{dir:f,HW:[[0.816,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8595,E]}},8616:{dir:f,HW:[[0.816,x]],stretch:{top:[8593,E],ext:[9168,E],bot:[10515,x]}},8617:{dir:s,HW:[[0.786,E]],stretch:{left:[8592,E],rep:ag,right:[57525,x]}},8618:{dir:s,HW:[[0.786,E]],stretch:{left:[57524,x],rep:ag,right:[8594,E]}},8624:{dir:f,HW:[[0.818,E]],stretch:{top:[8624,E],ext:[9168,E,0.152]}},8625:{dir:f,HW:[[0.818,E]],stretch:{top:[8625,E],ext:[9168,E,-0.195]}},8626:{dir:f,HW:[[0.816,x]],stretch:{bot:[8626,x],ext:[9168,E,0.152]}},8627:{dir:f,HW:[[0.816,x]],stretch:{bot:[8627,x],ext:[9168,E,-0.195]}},8628:{dir:s,HW:[[0.786,x]],stretch:{rep:[8722,E,0,0.4],right:[8628,x]}},8629:{dir:f,HW:[[0.818,x]],stretch:{bot:[8629,x],ext:[9168,E,0.57]}},8636:{dir:s,HW:[[0.847,E]],stretch:{left:[8636,E],rep:[9135,v]}},8637:{dir:s,HW:[[0.847,E]],stretch:{left:[8637,E],rep:[9135,v]}},8638:{dir:f,HW:[[0.818,E]],stretch:{ext:[9168,E],top:[8638,E]}},8639:{dir:f,HW:[[0.818,E]],stretch:{ext:[9168,E],top:[8639,E]}},8640:{dir:s,HW:[[0.847,E]],stretch:{rep:[9135,v],right:[8640,E]}},8641:{dir:s,HW:[[0.847,E]],stretch:{right:[8641,E],rep:ag}},8642:{dir:f,HW:[[0.818,E]],stretch:{bot:[8642,E],ext:[9168,E]}},8643:{dir:f,HW:[[0.818,E]],stretch:{bot:[8643,E],ext:[9168,E]}},8651:{dir:s,HW:[[0.786,E]],stretch:{left:[10602,x],rep:[61,E],right:[10605,x]}},8652:{dir:s,HW:[[0.786,E]],stretch:{left:[10603,x],rep:[61,E],right:[10604,x]}},8666:{dir:s,HW:[[0.806,E]],stretch:{left:[8666,E],rep:[57377,X]}},8667:{dir:s,HW:[[0.806,E]],stretch:{rep:[57377,X],right:[8667,E]}},8672:{dir:s,HW:[[0.806,E]],stretch:{left:[8672,E],rep:[57633,x]}},8673:{dir:f,HW:[[0.818,x]],stretch:{ext:[57645,x],top:[8673,x]}},8674:{dir:s,HW:[[0.806,E]],stretch:{right:[8674,E],rep:[57646,x]}},8675:{dir:f,HW:[[0.818,x]],stretch:{ext:[57644,x],bot:[8675,x]}},8676:{dir:s,HW:[[0.806,x]],stretch:{left:[8676,x],rep:ag}},8677:{dir:s,HW:[[0.806,x]],stretch:{right:[8677,x],rep:ag}},8701:{dir:s,HW:[[0.806,x]],stretch:{left:[8701,x],rep:ag}},8702:{dir:s,HW:[[0.806,x]],stretch:{right:[8702,x],rep:ag}},8703:{dir:s,HW:[[0.886,x]],stretch:{left:[8701,x],rep:ag,right:[8702,x]}},8719:{dir:f,HW:[[1.022,w],[1.451,ae]]},8720:{dir:f,HW:[[1.022,w],[1.451,ae]]},8721:{dir:f,HW:[[1.022,w],[1.45,ae]]},8731:{dir:f,HW:[[1.232,w],[1.847,ae],[2.46,ac],[3.075,aa]],stretch:{bot:[57381,X],ext:[57379,X],top:[57380,X]}},8732:{dir:f,HW:[[1.232,w],[1.847,ae],[2.46,ac],[3.075,aa]],stretch:{bot:[57382,X],ext:[57379,X],top:[57380,X]}},8747:{dir:f,HW:[[0.607,E],[0.979,ae]],stretch:{top:[57404,X],ext:[57405,X],bot:[57406,X]}},8748:{dir:f,HW:[[1.144,w],[2.269,ae]]},8749:{dir:f,HW:[[1.144,w],[2.269,ae]]},8750:{dir:f,HW:[[1.144,w],[2.269,ae]]},8751:{dir:f,HW:[[1.144,w],[2.269,ae]]},8752:{dir:f,HW:[[1.144,w],[2.269,ae]]},8753:{dir:f,HW:[[1.144,w],[2.269,ae]]},8754:{dir:f,HW:[[1.144,w],[2.269,ae]]},8755:{dir:f,HW:[[1.144,w],[2.269,ae]]},8896:{dir:f,HW:[[1.022,w],[1.451,ae]]},8897:{dir:f,HW:[[1.022,w],[1.451,ae]]},8898:{dir:f,HW:[[1.032,w],[1.461,ae]]},8899:{dir:f,HW:[[1.032,w],[1.461,ae]]},9130:{dir:f,HW:[[1.01,X,null,57357]],stretch:{top:[57357,X],ext:[57357,X],bot:[57357,X]}},9140:{dir:s,HW:[[0.816,E],[0.925,ae],[1.458,ac],[1.991,aa],[2.524,Y],[3.057,X]],stretch:{left:[57383,X],rep:[57384,X],right:[57385,X]}},9141:{dir:s,HW:[[0.816,E],[0.925,ae],[1.458,ac],[1.991,aa],[2.524,Y],[3.057,X]],stretch:{left:[57386,X],rep:[57387,X],right:[57388,X]}},9168:{dir:f,HW:[[0.304,E],[0.69,ae],[0.879,ac],[1.35,ac,1.536],[1.827,ac,2.078],[2.303,ac,2.62],[2.78,ac,3.162]],stretch:{ext:[8739,E]}},9180:{dir:s,HW:[[1,E],[0.926,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.237,X]],stretch:{left:[57389,X],rep:[57384,X],right:[57390,X]}},9181:{dir:s,HW:[[1,E],[0.926,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.237,X]],stretch:{left:[57391,X],rep:[57387,X],right:[57392,X]}},9184:{dir:s,HW:[[1,E],[1.46,ae],[1.886,ac],[2.312,aa],[2.738,Y],[3.164,X]]},9185:{dir:s,HW:[[1,E],[1.46,ae],[1.886,ac],[2.312,aa],[2.738,Y],[3.164,X]]},10098:{dir:f,HW:[[0.932,y],[1.23,ae],[1.845,ac],[2.459,aa],[3.075,Y]]},10099:{dir:f,HW:[[0.932,y],[1.23,ae],[1.845,ac],[2.459,aa],[3.075,Y]]},10214:{dir:f,HW:[[0.93,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{top:[9555,l],ext:[9553,l],bot:[9561,l]}},10215:{dir:f,HW:[[0.93,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{top:[9558,l],ext:[9553,l],bot:[9564,l]}},10218:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.461,aa],[3.075,Y]]},10219:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.461,aa],[3.075,Y]]},10224:{dir:f,HW:[[0.818,x]],stretch:{ext:[57399,X],top:[10224,x]}},10225:{dir:f,HW:[[0.818,x]],stretch:{bot:[10225,x],ext:[57399,X]}},10502:{dir:s,HW:[[0.816,x]],stretch:{left:[8656,E],rep:[61,E],right:[10980,w,0,-0.09]}},10503:{dir:s,HW:[[0.816,x]],stretch:{left:[8872,E,0,-0.09],rep:[61,E],right:[8658,E]}},10506:{dir:f,HW:[[0.818,x]],stretch:{ext:[57400,X],top:[10506,x]}},10507:{dir:f,HW:[[0.818,x]],stretch:{bot:[10507,x],ext:[57400,X]}},10514:{dir:f,HW:[[0.818,x]],stretch:{top:[10514,x],ext:[9168,E]}},10515:{dir:f,HW:[[0.818,x]],stretch:{bot:[10515,x],ext:[9168,E]}},10574:{dir:s,HW:[[0.85,x]],stretch:{left:[8636,E],rep:ag,right:[8640,E]}},10575:{dir:f,HW:[[0.818,x]],stretch:{top:[8638,E],ext:[9168,E],bot:[8642,E]}},10576:{dir:s,HW:[[0.85,x]],stretch:{left:[8637,E],rep:ag,right:[8641,E]}},10577:{dir:f,HW:[[0.818,x]],stretch:{top:[8639,E],ext:[9168,E],bot:[8643,E]}},10578:{dir:s,HW:[[0.816,x]],stretch:{left:[10578,x],rep:ag}},10579:{dir:s,HW:[[0.816,x]],stretch:{right:[10579,x],rep:ag}},10580:{dir:f,HW:[[0.818,x]],stretch:{top:[10580,x],ext:[9168,E]}},10581:{dir:f,HW:[[0.818,x]],stretch:{bot:[10581,x],ext:[9168,E]}},10582:{dir:s,HW:[[0.816,x]],stretch:{left:[10582,x],rep:ag}},10583:{dir:s,HW:[[0.816,x]],stretch:{right:[10583,x],rep:ag}},10584:{dir:f,HW:[[0.818,x]],stretch:{top:[10584,x],ext:[9168,E]}},10585:{dir:f,HW:[[0.818,x]],stretch:{bot:[10585,x],ext:[9168,E]}},10586:{dir:s,HW:[[0.816,x]],stretch:{left:[8636,E],rep:ag,right:[8867,ak,0,0.1,0.6]}},10587:{dir:s,HW:[[0.816,x]],stretch:{left:[57526,x],rep:ag,right:[8640,E]}},10588:{dir:f,HW:[[0.818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8638,E]}},10589:{dir:f,HW:[[0.818,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8642,E]}},10590:{dir:s,HW:[[0.816,x]],stretch:{left:[8637,E],rep:ag,right:[8867,ak,0,0.1,0.6]}},10591:{dir:s,HW:[[0.816,x]],stretch:{left:[57526,x],rep:ag,right:[8641,E]}},10592:{dir:f,HW:[[0.818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8639,E]}},10593:{dir:f,HW:[[0.818,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8643,E]}},10624:{dir:f,HW:[[0.884,v]],stretch:{ext:[10624,v]}},10627:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]]},10628:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]]},10629:{dir:f,HW:[[0.932,v],[1.23,ae],[1.848,ac],[2.459,aa],[3.075,Y]]},10630:{dir:f,HW:[[0.932,v],[1.23,ae],[1.848,ac],[2.459,aa],[3.075,Y]]},10647:{dir:f,HW:[[0.932,E]],stretch:{top:[57613,l,0.1,0.05],ext:[9168,E,-0.1],bot:[57612,l,0.1]}},10648:{dir:f,HW:[[0.932,E]],stretch:{top:[57612,l,-0.1,0.05],ext:[9168,E],bot:[57613,l,-0.1]}},10752:{dir:f,HW:[[1.022,w],[1.451,ae]]},10753:{dir:f,HW:[[1.022,w],[1.451,ae]]},10754:{dir:f,HW:[[1.022,w],[1.451,ae]]},10755:{dir:f,HW:[[1.032,w],[1.461,ae]]},10756:{dir:f,HW:[[1.032,w],[1.461,ae]]},10757:{dir:f,HW:[[1.022,w],[1.451,ae]]},10758:{dir:f,HW:[[1.022,w],[1.451,ae]]},10759:{dir:f,HW:[[1.022,w],[1.451,ae]]},10760:{dir:f,HW:[[1.022,w],[1.451,ae]]},10761:{dir:f,HW:[[1.022,w],[1.451,ae]]},10762:{dir:f,HW:[[1.022,w],[1.45,ae]]},10763:{dir:f,HW:[[1.144,w],[2.269,ae]]},10764:{dir:f,HW:[[1.144,w],[2.269,ae]]},10765:{dir:f,HW:[[1.144,w],[2.269,ae]]},10766:{dir:f,HW:[[1.144,w],[2.269,ae]]},10767:{dir:f,HW:[[1.144,w],[2.269,ae]]},10768:{dir:f,HW:[[1.144,w],[2.269,ae]]},10769:{dir:f,HW:[[1.144,w],[2.269,ae]]},10770:{dir:f,HW:[[1.144,w],[2.269,ae]]},10771:{dir:f,HW:[[1.144,w],[2.269,ae]]},10772:{dir:f,HW:[[1.144,w],[2.269,ae]]},10773:{dir:f,HW:[[1.144,w],[2.269,ae]]},10774:{dir:f,HW:[[1.144,w],[2.269,ae]]},10775:{dir:f,HW:[[1.144,w],[2.269,ae]]},10776:{dir:f,HW:[[1.144,w],[2.269,ae]]},10777:{dir:f,HW:[[1.144,w],[2.269,ae]]},10778:{dir:f,HW:[[1.144,w],[2.269,ae]]},10779:{dir:f,HW:[[1.267,w],[2.426,ae]]},10780:{dir:f,HW:[[1.267,w],[2.426,ae]]},11004:{dir:f,HW:[[1.022,w],[1.23,ae],[1.875,ac]]},11007:{dir:f,HW:[[1.022,w],[1.23,ae],[1.875,ac]]},11077:{dir:s,HW:[[0.818,l]],stretch:{left:[11077,l],rep:[57401,X]}}};for(var U in n){if(n.hasOwnProperty(U)){t[U]=n[U]}}MathJax.Ajax.loadComplete(aj.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(aj){var B="2.7.9";var t=aj.FONTDATA.DELIMITERS;var s="H",f="V";var ag=[8722,E,0,0,0,-0.26,-0.26];var u="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",R="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",T="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",Q="STIXMathJax_Main-bold-italic",ak="STIXMathJax_Main-bold",O="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",m="STIXMathJax_Marks-italic",Z="STIXMathJax_Marks",ah="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ad="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",al="STIXMathJax_Monospace",ab="STIXMathJax_Normal-bold-italic",P="STIXMathJax_Normal-bold",S="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",M="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",am="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",N="STIXMathJax_Script-italic",W="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",l="STIXMathJax_Shapes",ae="STIXMathJax_Size1",ac="STIXMathJax_Size2",aa="STIXMathJax_Size3",Y="STIXMathJax_Size4",X="STIXMathJax_Size5",af="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ai="STIXMathJax_Variants-italic",L="STIXMathJax_Variants";var n={61:{dir:s,HW:[[0.589,E]],stretch:{rep:[61,E]}},711:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},717:{dir:s,HW:[[0.312,Z]],stretch:{rep:[717,Z]}},759:{dir:s,HW:[[0.33,Z],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},8400:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57365,X],rep:[57366,X]}},8401:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57366,X],right:[57367,X]}},8406:{dir:s,HW:[[0.436,Z],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57368,X],rep:[57366,X]}},8417:{dir:s,HW:[[0.478,Z]],stretch:{left:[57368,X],rep:[57366,X],right:[57369,X]}},8428:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57370,X],right:[57371,X]}},8429:{dir:s,HW:[[0.436,Z],[0.871,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57372,X],rep:[57370,X]}},8430:{dir:s,HW:[[0.436,Z],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{left:[57373,X],rep:[57370,X]}},8431:{dir:s,HW:[[0.436,Z],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57370,X],right:[57374,X]}},8512:{dir:f,HW:[[1.022,b],[1.45,ae]]},8606:{dir:s,HW:[[0.786,E]],stretch:{left:[8606,E],rep:ag}},8607:{dir:f,HW:[[0.816,x]],stretch:{ext:[9168,E],top:[8607,x]}},8608:{dir:s,HW:[[0.786,E]],stretch:{right:[8608,E],rep:ag}},8609:{dir:f,HW:[[0.816,x]],stretch:{ext:[9168,E],bot:[8609,x]}},8612:{dir:s,HW:[[0.787,x]],stretch:{left:[8592,E],rep:[9135,v],right:[10206,v]}},8613:{dir:f,HW:[[0.816,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8593,E]}},8614:{dir:s,HW:[[0.787,E]],stretch:{left:[10205,v],rep:[9135,v],right:[8594,E]}},8615:{dir:f,HW:[[0.816,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8595,E]}},8616:{dir:f,HW:[[0.816,x]],stretch:{top:[8593,E],ext:[9168,E],bot:[10515,x]}},8617:{dir:s,HW:[[0.786,E]],stretch:{left:[8592,E],rep:ag,right:[57525,x]}},8618:{dir:s,HW:[[0.786,E]],stretch:{left:[57524,x],rep:ag,right:[8594,E]}},8624:{dir:f,HW:[[0.818,E]],stretch:{top:[8624,E],ext:[9168,E,0.152]}},8625:{dir:f,HW:[[0.818,E]],stretch:{top:[8625,E],ext:[9168,E,-0.195]}},8626:{dir:f,HW:[[0.816,x]],stretch:{bot:[8626,x],ext:[9168,E,0.152]}},8627:{dir:f,HW:[[0.816,x]],stretch:{bot:[8627,x],ext:[9168,E,-0.195]}},8628:{dir:s,HW:[[0.786,x]],stretch:{rep:[8722,E,0,0.4],right:[8628,x]}},8629:{dir:f,HW:[[0.818,x]],stretch:{bot:[8629,x],ext:[9168,E,0.57]}},8636:{dir:s,HW:[[0.847,E]],stretch:{left:[8636,E],rep:[9135,v]}},8637:{dir:s,HW:[[0.847,E]],stretch:{left:[8637,E],rep:[9135,v]}},8638:{dir:f,HW:[[0.818,E]],stretch:{ext:[9168,E],top:[8638,E]}},8639:{dir:f,HW:[[0.818,E]],stretch:{ext:[9168,E],top:[8639,E]}},8640:{dir:s,HW:[[0.847,E]],stretch:{rep:[9135,v],right:[8640,E]}},8641:{dir:s,HW:[[0.847,E]],stretch:{right:[8641,E],rep:ag}},8642:{dir:f,HW:[[0.818,E]],stretch:{bot:[8642,E],ext:[9168,E]}},8643:{dir:f,HW:[[0.818,E]],stretch:{bot:[8643,E],ext:[9168,E]}},8651:{dir:s,HW:[[0.786,E]],stretch:{left:[10602,x],rep:[61,E],right:[10605,x]}},8652:{dir:s,HW:[[0.786,E]],stretch:{left:[10603,x],rep:[61,E],right:[10604,x]}},8666:{dir:s,HW:[[0.806,E]],stretch:{left:[8666,E],rep:[57377,X]}},8667:{dir:s,HW:[[0.806,E]],stretch:{rep:[57377,X],right:[8667,E]}},8672:{dir:s,HW:[[0.806,E]],stretch:{left:[8672,E],rep:[57633,x]}},8673:{dir:f,HW:[[0.818,x]],stretch:{ext:[57645,x],top:[8673,x]}},8674:{dir:s,HW:[[0.806,E]],stretch:{right:[8674,E],rep:[57646,x]}},8675:{dir:f,HW:[[0.818,x]],stretch:{ext:[57644,x],bot:[8675,x]}},8676:{dir:s,HW:[[0.806,x]],stretch:{left:[8676,x],rep:ag}},8677:{dir:s,HW:[[0.806,x]],stretch:{right:[8677,x],rep:ag}},8701:{dir:s,HW:[[0.806,x]],stretch:{left:[8701,x],rep:ag}},8702:{dir:s,HW:[[0.806,x]],stretch:{right:[8702,x],rep:ag}},8703:{dir:s,HW:[[0.886,x]],stretch:{left:[8701,x],rep:ag,right:[8702,x]}},8719:{dir:f,HW:[[1.022,w],[1.451,ae]]},8720:{dir:f,HW:[[1.022,w],[1.451,ae]]},8721:{dir:f,HW:[[1.022,w],[1.45,ae]]},8731:{dir:f,HW:[[1.232,w],[1.847,ae],[2.46,ac],[3.075,aa]],stretch:{bot:[57381,X],ext:[57379,X],top:[57380,X]}},8732:{dir:f,HW:[[1.232,w],[1.847,ae],[2.46,ac],[3.075,aa]],stretch:{bot:[57382,X],ext:[57379,X],top:[57380,X]}},8747:{dir:f,HW:[[0.607,E],[0.979,ae]],stretch:{top:[57404,X],ext:[57405,X],bot:[57406,X]}},8748:{dir:f,HW:[[1.144,w],[2.269,ae]]},8749:{dir:f,HW:[[1.144,w],[2.269,ae]]},8750:{dir:f,HW:[[1.144,w],[2.269,ae]]},8751:{dir:f,HW:[[1.144,w],[2.269,ae]]},8752:{dir:f,HW:[[1.144,w],[2.269,ae]]},8753:{dir:f,HW:[[1.144,w],[2.269,ae]]},8754:{dir:f,HW:[[1.144,w],[2.269,ae]]},8755:{dir:f,HW:[[1.144,w],[2.269,ae]]},8896:{dir:f,HW:[[1.022,w],[1.451,ae]]},8897:{dir:f,HW:[[1.022,w],[1.451,ae]]},8898:{dir:f,HW:[[1.032,w],[1.461,ae]]},8899:{dir:f,HW:[[1.032,w],[1.461,ae]]},9130:{dir:f,HW:[[1.01,X,null,57357]],stretch:{top:[57357,X],ext:[57357,X],bot:[57357,X]}},9140:{dir:s,HW:[[0.816,E],[0.925,ae],[1.458,ac],[1.991,aa],[2.524,Y],[3.057,X]],stretch:{left:[57383,X],rep:[57384,X],right:[57385,X]}},9141:{dir:s,HW:[[0.816,E],[0.925,ae],[1.458,ac],[1.991,aa],[2.524,Y],[3.057,X]],stretch:{left:[57386,X],rep:[57387,X],right:[57388,X]}},9168:{dir:f,HW:[[0.304,E],[0.69,ae],[0.879,ac],[1.35,ac,1.536],[1.827,ac,2.078],[2.303,ac,2.62],[2.78,ac,3.162]],stretch:{ext:[8739,E]}},9180:{dir:s,HW:[[1,E],[0.926,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.237,X]],stretch:{left:[57389,X],rep:[57384,X],right:[57390,X]}},9181:{dir:s,HW:[[1,E],[0.926,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.237,X]],stretch:{left:[57391,X],rep:[57387,X],right:[57392,X]}},9184:{dir:s,HW:[[1,E],[1.46,ae],[1.886,ac],[2.312,aa],[2.738,Y],[3.164,X]]},9185:{dir:s,HW:[[1,E],[1.46,ae],[1.886,ac],[2.312,aa],[2.738,Y],[3.164,X]]},10098:{dir:f,HW:[[0.932,y],[1.23,ae],[1.845,ac],[2.459,aa],[3.075,Y]]},10099:{dir:f,HW:[[0.932,y],[1.23,ae],[1.845,ac],[2.459,aa],[3.075,Y]]},10214:{dir:f,HW:[[0.93,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{top:[9555,l],ext:[9553,l],bot:[9561,l]}},10215:{dir:f,HW:[[0.93,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{top:[9558,l],ext:[9553,l],bot:[9564,l]}},10218:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.461,aa],[3.075,Y]]},10219:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.461,aa],[3.075,Y]]},10224:{dir:f,HW:[[0.818,x]],stretch:{ext:[57399,X],top:[10224,x]}},10225:{dir:f,HW:[[0.818,x]],stretch:{bot:[10225,x],ext:[57399,X]}},10502:{dir:s,HW:[[0.816,x]],stretch:{left:[8656,E],rep:[61,E],right:[10980,w,0,-0.09]}},10503:{dir:s,HW:[[0.816,x]],stretch:{left:[8872,E,0,-0.09],rep:[61,E],right:[8658,E]}},10506:{dir:f,HW:[[0.818,x]],stretch:{ext:[57400,X],top:[10506,x]}},10507:{dir:f,HW:[[0.818,x]],stretch:{bot:[10507,x],ext:[57400,X]}},10514:{dir:f,HW:[[0.818,x]],stretch:{top:[10514,x],ext:[9168,E]}},10515:{dir:f,HW:[[0.818,x]],stretch:{bot:[10515,x],ext:[9168,E]}},10574:{dir:s,HW:[[0.85,x]],stretch:{left:[8636,E],rep:ag,right:[8640,E]}},10575:{dir:f,HW:[[0.818,x]],stretch:{top:[8638,E],ext:[9168,E],bot:[8642,E]}},10576:{dir:s,HW:[[0.85,x]],stretch:{left:[8637,E],rep:ag,right:[8641,E]}},10577:{dir:f,HW:[[0.818,x]],stretch:{top:[8639,E],ext:[9168,E],bot:[8643,E]}},10578:{dir:s,HW:[[0.816,x]],stretch:{left:[10578,x],rep:ag}},10579:{dir:s,HW:[[0.816,x]],stretch:{right:[10579,x],rep:ag}},10580:{dir:f,HW:[[0.818,x]],stretch:{top:[10580,x],ext:[9168,E]}},10581:{dir:f,HW:[[0.818,x]],stretch:{bot:[10581,x],ext:[9168,E]}},10582:{dir:s,HW:[[0.816,x]],stretch:{left:[10582,x],rep:ag}},10583:{dir:s,HW:[[0.816,x]],stretch:{right:[10583,x],rep:ag}},10584:{dir:f,HW:[[0.818,x]],stretch:{top:[10584,x],ext:[9168,E]}},10585:{dir:f,HW:[[0.818,x]],stretch:{bot:[10585,x],ext:[9168,E]}},10586:{dir:s,HW:[[0.816,x]],stretch:{left:[8636,E],rep:ag,right:[8867,ak,0,0.1,0.6]}},10587:{dir:s,HW:[[0.816,x]],stretch:{left:[57526,x],rep:ag,right:[8640,E]}},10588:{dir:f,HW:[[0.818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8638,E]}},10589:{dir:f,HW:[[0.818,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8642,E]}},10590:{dir:s,HW:[[0.816,x]],stretch:{left:[8637,E],rep:ag,right:[8867,ak,0,0.1,0.6]}},10591:{dir:s,HW:[[0.816,x]],stretch:{left:[57526,x],rep:ag,right:[8641,E]}},10592:{dir:f,HW:[[0.818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8639,E]}},10593:{dir:f,HW:[[0.818,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8643,E]}},10624:{dir:f,HW:[[0.884,v]],stretch:{ext:[10624,v]}},10627:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]]},10628:{dir:f,HW:[[0.932,v],[1.23,ae],[1.845,ac],[2.46,aa],[3.075,Y]]},10629:{dir:f,HW:[[0.932,v],[1.23,ae],[1.848,ac],[2.459,aa],[3.075,Y]]},10630:{dir:f,HW:[[0.932,v],[1.23,ae],[1.848,ac],[2.459,aa],[3.075,Y]]},10647:{dir:f,HW:[[0.932,E]],stretch:{top:[57613,l,0.1,0.05],ext:[9168,E,-0.1],bot:[57612,l,0.1]}},10648:{dir:f,HW:[[0.932,E]],stretch:{top:[57612,l,-0.1,0.05],ext:[9168,E],bot:[57613,l,-0.1]}},10752:{dir:f,HW:[[1.022,w],[1.451,ae]]},10753:{dir:f,HW:[[1.022,w],[1.451,ae]]},10754:{dir:f,HW:[[1.022,w],[1.451,ae]]},10755:{dir:f,HW:[[1.032,w],[1.461,ae]]},10756:{dir:f,HW:[[1.032,w],[1.461,ae]]},10757:{dir:f,HW:[[1.022,w],[1.451,ae]]},10758:{dir:f,HW:[[1.022,w],[1.451,ae]]},10759:{dir:f,HW:[[1.022,w],[1.451,ae]]},10760:{dir:f,HW:[[1.022,w],[1.451,ae]]},10761:{dir:f,HW:[[1.022,w],[1.451,ae]]},10762:{dir:f,HW:[[1.022,w],[1.45,ae]]},10763:{dir:f,HW:[[1.144,w],[2.269,ae]]},10764:{dir:f,HW:[[1.144,w],[2.269,ae]]},10765:{dir:f,HW:[[1.144,w],[2.269,ae]]},10766:{dir:f,HW:[[1.144,w],[2.269,ae]]},10767:{dir:f,HW:[[1.144,w],[2.269,ae]]},10768:{dir:f,HW:[[1.144,w],[2.269,ae]]},10769:{dir:f,HW:[[1.144,w],[2.269,ae]]},10770:{dir:f,HW:[[1.144,w],[2.269,ae]]},10771:{dir:f,HW:[[1.144,w],[2.269,ae]]},10772:{dir:f,HW:[[1.144,w],[2.269,ae]]},10773:{dir:f,HW:[[1.144,w],[2.269,ae]]},10774:{dir:f,HW:[[1.144,w],[2.269,ae]]},10775:{dir:f,HW:[[1.144,w],[2.269,ae]]},10776:{dir:f,HW:[[1.144,w],[2.269,ae]]},10777:{dir:f,HW:[[1.144,w],[2.269,ae]]},10778:{dir:f,HW:[[1.144,w],[2.269,ae]]},10779:{dir:f,HW:[[1.267,w],[2.426,ae]]},10780:{dir:f,HW:[[1.267,w],[2.426,ae]]},11004:{dir:f,HW:[[1.022,w],[1.23,ae],[1.875,ac]]},11007:{dir:f,HW:[[1.022,w],[1.23,ae],[1.875,ac]]},11077:{dir:s,HW:[[0.818,l]],stretch:{left:[11077,l],rep:[57401,X]}}};for(var U in n){if(n.hasOwnProperty(U)){t[U]=n[U]}}MathJax.Ajax.loadComplete(aj.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js b/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js
index 29c23fced3..ce2deaaa38 100644
--- a/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(aj,l,am){var B="2.7.6";var t="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",S="STIXMathJax_Arrows-bold",w="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",U="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",R="STIXMathJax_Main-bold-italic",ak="STIXMathJax_Main-bold",P="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",n="STIXMathJax_Marks-italic",Z="STIXMathJax_Marks",ah="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ad="STIXMathJax_Misc-italic",x="STIXMathJax_Misc",al="STIXMathJax_Monospace",ab="STIXMathJax_Normal-bold-italic",Q="STIXMathJax_Normal-bold",T="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",v="STIXMathJax_Operators",N="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",an="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",O="STIXMathJax_Script-italic",W="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",m="STIXMathJax_Shapes",ae="STIXMathJax_Size1",ac="STIXMathJax_Size2",aa="STIXMathJax_Size3",Y="STIXMathJax_Size4",X="STIXMathJax_Size5",af="STIXMathJax_Symbols-bold",u="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ai="STIXMathJax_Variants-italic",M="STIXMathJax_Variants";var s="H",f="V",L={load:"extra",dir:s},y={load:"extra",dir:f};var ag=[8722,E,0,0,0,-0.26,-0.26];aj.Augment({FONTDATA:{version:B,TeX_factor:1.125,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{"STIXMathJax_Alphabets-bold-italic":"Alphabets/BoldItalic/Main.js","STIXMathJax_Alphabets-bold":"Alphabets/Bold/Main.js","STIXMathJax_Alphabets-italic":"Alphabets/Italic/Main.js",STIXMathJax_Alphabets:"Alphabets/Regular/Main.js","STIXMathJax_Arrows-bold":"Arrows/Bold/Main.js",STIXMathJax_Arrows:"Arrows/Regular/Main.js","STIXMathJax_DoubleStruck-bold-italic":"DoubleStruck/BoldItalic/Main.js","STIXMathJax_DoubleStruck-bold":"DoubleStruck/Bold/Main.js","STIXMathJax_DoubleStruck-italic":"DoubleStruck/Italic/Main.js",STIXMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js","STIXMathJax_Fraktur-bold":"Fraktur/Bold/Main.js",STIXMathJax_Fraktur:"Fraktur/Regular/Main.js","STIXMathJax_Latin-bold-italic":"Latin/BoldItalic/Main.js","STIXMathJax_Latin-bold":"Latin/Bold/Main.js","STIXMathJax_Latin-italic":"Latin/Italic/Main.js",STIXMathJax_Latin:"Latin/Regular/Main.js","STIXMathJax_Main-bold-italic":"Main/BoldItalic/Main.js","STIXMathJax_Main-bold":"Main/Bold/Main.js","STIXMathJax_Main-italic":"Main/Italic/Main.js",STIXMathJax_Main:"Main/Regular/Main.js","STIXMathJax_Marks-bold-italic":"Marks/BoldItalic/Main.js","STIXMathJax_Marks-bold":"Marks/Bold/Main.js","STIXMathJax_Marks-italic":"Marks/Italic/Main.js",STIXMathJax_Marks:"Marks/Regular/Main.js","STIXMathJax_Misc-bold-italic":"Misc/BoldItalic/Main.js","STIXMathJax_Misc-bold":"Misc/Bold/Main.js","STIXMathJax_Misc-italic":"Misc/Italic/Main.js",STIXMathJax_Misc:"Misc/Regular/Main.js",STIXMathJax_Monospace:"Monospace/Regular/Main.js","STIXMathJax_Normal-bold-italic":"Normal/BoldItalic/Main.js","STIXMathJax_Normal-bold":"Normal/Bold/Main.js","STIXMathJax_Normal-italic":"Normal/Italic/Main.js","STIXMathJax_Operators-bold":"Operators/Bold/Main.js",STIXMathJax_Operators:"Operators/Regular/Main.js","STIXMathJax_SansSerif-bold-italic":"SansSerif/BoldItalic/Main.js","STIXMathJax_SansSerif-bold":"SansSerif/Bold/Main.js","STIXMathJax_SansSerif-italic":"SansSerif/Italic/Main.js",STIXMathJax_SansSerif:"SansSerif/Regular/Main.js","STIXMathJax_Script-bold-italic":"Script/BoldItalic/Main.js","STIXMathJax_Script-italic":"Script/Italic/Main.js",STIXMathJax_Script:"Script/Regular/Main.js","STIXMathJax_Shapes-bold-italic":"Shapes/BoldItalic/Main.js","STIXMathJax_Shapes-bold":"Shapes/Bold/Main.js",STIXMathJax_Shapes:"Shapes/Regular/Main.js",STIXMathJax_Size1:"Size1/Regular/Main.js",STIXMathJax_Size2:"Size2/Regular/Main.js",STIXMathJax_Size3:"Size3/Regular/Main.js",STIXMathJax_Size4:"Size4/Regular/Main.js",STIXMathJax_Size5:"Size5/Regular/Main.js","STIXMathJax_Symbols-bold":"Symbols/Bold/Main.js",STIXMathJax_Symbols:"Symbols/Regular/Main.js","STIXMathJax_Variants-bold-italic":"Variants/BoldItalic/Main.js","STIXMathJax_Variants-bold":"Variants/Bold/Main.js","STIXMathJax_Variants-italic":"Variants/Italic/Main.js",STIXMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[E,al,K,e,Z,w,v,u,m,x,M,ae],remap:{124:[124,"-STIX-Web-variant"]}},bold:{fonts:[ak,Q,q,i,A,C,G,I,S,j,af,J,h,o,ae],offsetA:119808,offsetG:120488,bold:true,remap:{8706:120539,8711:120513}},italic:{fonts:[P,T,O,c,an,D,z,n,ad,ai,ae],offsetA:119860,offsetG:120546,remap:{119893:8462,8706:120597,8711:120571},italic:true},"bold-italic":{fonts:[R,ab,a,g,N,U,t,k,r,ah,F,ae],offsetA:119860,offsetG:120604,remap:{119893:8462,8706:120655,8711:120629},bold:true,italic:true},"double-struck":{fonts:[b],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[p],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[q],offsetA:120172,bold:true},script:{fonts:[O],offsetA:119964,italic:true,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[a],offsetA:120016,bold:true,italic:true},"sans-serif":{fonts:[d],offsetA:120224,offsetN:120802,offsetP:57725,remap:{8706:57724}},"bold-sans-serif":{fonts:[A],offsetA:120276,offsetN:120812,offsetG:120662,remap:{8706:120713,8711:120687}},"sans-serif-italic":{fonts:[an],italic:true,offsetA:120328,offsetN:57780,offsetP:57791,remap:{8706:57790},bold:true},"sans-serif-bold-italic":{fonts:[N],offsetA:120380,offsetN:57846,offsetG:120720,remap:{8706:120771,8711:120745},bold:true,italic:true},monospace:{fonts:[al],offsetA:120432,offsetN:120822},"-STIX-Web-variant":{remap:{10887:57360,10888:57359,9651:9653,9661:9663,124:[124,l.VARIANT.NORMAL]},fonts:[M,m,v,E,al,K,e,Z,w,u,x,ae]},"-tex-caligraphic":{offsetA:57901,noLowerCase:1,fonts:[ai,P,T,O,c,an,D,z,n,ad,ae],italic:true},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989},fonts:[M,E,al,K,e,Z,w,v,u,m,x,ae]},"-tex-caligraphic-bold":{offsetA:57927,noLowerCase:1,fonts:[F,R,ab,a,g,N,U,t,k,r,ah,ae],italic:true,bold:true},"-tex-oldstyle-bold":{offsetN:57953,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991},fonts:[o,ak,Q,q,i,A,C,G,I,S,j,af,J,h,ae],bold:true},"-tex-mathit":{fonts:[P,T,O,c,an,D,z,n,ad,ai,ae],italic:true,noIC:true},"-largeOp":{fonts:[ae,E]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:937,offset:"G"},{name:"vargreek",low:977,high:1014,offset:"G",remapOnly:true,remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}},{name:"PUAgreek",low:945,high:969,offset:"P",add:25},{name:"PUAGreek",low:913,high:937,offset:"P"},{name:"varPUAgreek",low:977,high:1014,offset:"P",remapOnly:true,remap:{1013:50,977:51,981:52,1009:53,982:54,1012:17}}],RULECHAR:9135,REMAP:{10:32,12296:10216,12297:10217,10072:8739,755:730,756:714,65079:9182,65080:9183},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u2190":"\u20D6","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:f,HW:[[0.853,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57344,X],ext:[57345,X],top:[57346,X]}},41:{dir:f,HW:[[0.853,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57347,X],ext:[57348,X],top:[57349,X]}},45:{alias:9135,dir:s},47:{dir:f,HW:[[0.69,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},61:L,91:{dir:f,HW:[[0.818,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57350,X],ext:[57351,X],top:[57352,X]}},92:{dir:f,HW:[[0.69,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},93:{dir:f,HW:[[0.818,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57353,X],ext:[57354,X],top:[57355,X]}},94:{alias:710,dir:s},95:{alias:9135,dir:s},123:{dir:f,HW:[[0.861,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57356,X],ext:[57357,X],mid:[57358,X],top:[57359,X]}},124:{dir:f,HW:[[0.69,E]],stretch:{bot:[124,E],ext:[124,E]}},125:{dir:f,HW:[[0.861,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57360,X],ext:[57357,X],mid:[57361,X],top:[57362,X]}},126:{alias:732,dir:s},175:{alias:9135,dir:s},710:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},711:L,713:{alias:9135,dir:s},717:L,732:{dir:s,HW:[[0.33,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},759:L,770:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},771:{dir:s,HW:[[0.33,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},773:{dir:s,HW:[[0.5,Z],[1,ae],[1.5,ac],[2,aa],[2.5,Y],[3,X]],stretch:{left:[57363,X],rep:[57363,X]}},780:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},816:{dir:s,HW:[[0.33,Z],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},818:{dir:s,HW:[[0.5,Z],[1,ae],[1.5,ac],[2,aa],[2.5,Y],[3,X]],stretch:{left:[57364,X],rep:[57364,X]}},824:{dir:f,HW:[[0.818,E],[0.553,ae],[0.662,ac],[0.818,aa],[0.959,Y],[1.414,X]]},8213:{alias:9135,dir:s},8214:{dir:f,HW:[[0.879,E]],stretch:{bot:[8214,E],ext:[8214,E]}},8215:{alias:9135,dir:s},8254:{dir:s,HW:[[0.5,E],[1,ae],[1.5,ac],[2,aa],[2.5,Y],[3,X]],stretch:{left:[8254,E],rep:[8254,E]}},8400:L,8401:L,8406:L,8407:{dir:s,HW:[[0.436,E],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57366,X],right:[57369,X]}},8417:L,8428:L,8429:L,8430:L,8431:L,8512:y,8592:{dir:s,HW:[[0.786,E]],stretch:{left:[8592,E],rep:ag}},8593:{dir:f,HW:[[0.818,E]],stretch:{ext:[9168,E],top:[8593,E]}},8594:{dir:s,HW:[[0.786,E]],stretch:{rep:ag,right:[8594,E]}},8595:{dir:f,HW:[[0.818,E]],stretch:{bot:[8595,E],ext:[9168,E]}},8596:{dir:s,HW:[[0.85,E]],stretch:{left:[8592,E],rep:ag,right:[8594,E]}},8597:{dir:f,HW:[[0.954,E]],stretch:{bot:[8595,E],ext:[9168,E],top:[8593,E]}},8606:L,8607:y,8608:L,8609:y,8612:L,8613:y,8614:L,8615:y,8616:y,8617:L,8618:L,8624:y,8625:y,8626:y,8627:y,8628:L,8629:y,8636:L,8637:L,8638:y,8639:y,8640:L,8641:L,8642:y,8643:y,8651:L,8652:L,8656:{dir:s,HW:[[0.806,E]],stretch:{left:[8656,E],rep:[57375,X]}},8657:{dir:f,HW:[[0.818,E]],stretch:{ext:[57376,X],top:[8657,E]}},8658:{dir:s,HW:[[0.806,E]],stretch:{rep:[57375,X],right:[8658,E]}},8659:{dir:f,HW:[[0.818,E]],stretch:{bot:[8659,E],ext:[57376,X]}},8660:{dir:s,HW:[[0.886,E]],stretch:{left:[8656,E],rep:[57375,X],right:[8658,E]}},8661:{dir:f,HW:[[0.954,E]],stretch:{bot:[8659,E],ext:[57376,X],top:[8657,E]}},8666:L,8667:L,8672:L,8673:y,8674:L,8675:y,8676:L,8677:L,8701:L,8702:L,8703:L,8719:y,8720:y,8721:y,8722:{alias:9135,dir:s},8725:{alias:47,dir:f},8730:{dir:f,HW:[[1.232,E],[1.847,ae],[2.46,ac],[3.075,aa]],stretch:{bot:[57378,X],ext:[57379,X],top:[57380,X]}},8731:y,8732:y,8739:{dir:f,HW:[[0.879,E]],stretch:{ext:[8739,E]}},8741:{dir:f,HW:[[0.879,E]],stretch:{ext:[8741,E]}},8747:y,8748:y,8749:y,8750:y,8751:y,8752:y,8753:y,8754:y,8755:y,8896:y,8897:y,8898:y,8899:y,8968:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{ext:[57351,X],top:[57352,X]}},8969:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{ext:[57354,X],top:[57355,X]}},8970:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57350,X],ext:[57351,X]}},8971:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57353,X],ext:[57354,X]}},8978:{alias:9180,dir:s},8994:{alias:9180,dir:s},8995:{alias:9181,dir:s},9001:{alias:10216,dir:f},9002:{alias:10217,dir:f},9130:y,9135:{dir:s,HW:[[0.315,u]],stretch:{rep:[9135,u]}},9136:{dir:f,HW:[[1.001,X,null,57402]],stretch:{top:[57359,X],ext:[57357,X],bot:[57360,X]}},9137:{dir:f,HW:[[1.001,X,null,57403]],stretch:{top:[57362,X],ext:[57357,X],bot:[57356,X]}},9140:L,9141:L,9168:y,9180:L,9181:L,9182:{dir:s,HW:[[1,E],[0.925,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.238,X]],stretch:{left:[57393,X],rep:[57384,X],mid:[57394,X],right:[57395,X]}},9183:{dir:s,HW:[[1,E],[0.925,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.238,X]],stretch:{left:[57396,X],rep:[57387,X],mid:[57397,X],right:[57398,X]}},9184:L,9185:L,9472:{alias:8722,dir:s},10072:{alias:8739,dir:f},10098:y,10099:y,10214:y,10215:y,10216:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},10217:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},10218:y,10219:y,10222:{dir:f,HW:[[0.853,E]],stretch:{bot:[57344,X],ext:[57345,X],top:[57346,X]}},10223:{dir:f,HW:[[0.853,E]],stretch:{bot:[57347,X],ext:[57348,X],top:[57349,X]}},10224:y,10225:y,10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:L,10503:L,10506:y,10507:y,10514:y,10515:y,10574:L,10575:y,10576:L,10577:y,10578:L,10579:L,10580:y,10581:y,10582:L,10583:L,10584:y,10585:y,10586:L,10587:L,10588:y,10589:y,10590:L,10591:L,10592:y,10593:y,10624:y,10627:y,10628:y,10629:y,10630:y,10647:y,10648:y,10744:{dir:f,HW:[[1.02,E],[1.845,ae]]},10745:{dir:f,HW:[[1.02,E],[1.845,ae]]},10752:y,10753:y,10754:y,10755:y,10756:y,10757:y,10758:y,10759:y,10760:y,10761:y,10762:y,10763:y,10764:y,10765:y,10766:y,10767:y,10768:y,10769:y,10770:y,10771:y,10772:y,10773:y,10774:y,10775:y,10776:y,10777:y,10778:y,10779:y,10780:y,11004:y,11007:y,11077:L,11078:{dir:s,HW:[[0.818,m]],stretch:{rep:[57401,X],right:[11078,m]}},12296:{alias:10216,dir:f},12297:{alias:10217,dir:f},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(aj.fontDir+"/Main/Regular/Main.js",function(){aj.FONTDATA.FONTS[E][8942][0]+=400;aj.FONTDATA.FONTS[E][8945][0]+=500;aj.FONTDATA.FONTS[E][8722][0]=aj.FONTDATA.FONTS[E][43][0];aj.FONTDATA.FONTS[E][8722][1]=aj.FONTDATA.FONTS[E][43][1];aj.FONTDATA.FONTS[E][61][1]+=100});MathJax.Hub.Register.LoadHook(aj.fontDir+"/Size5/Regular/Main.js",function(){var H;H=aj.FONTDATA.DELIMITERS[9182].stretch.rep[0];aj.FONTDATA.FONTS[X][H][0]+=200;aj.FONTDATA.FONTS[X][H][1]+=200;H=aj.FONTDATA.DELIMITERS[9183].stretch.rep[0];aj.FONTDATA.FONTS[X][H][0]+=200;aj.FONTDATA.FONTS[X][H][1]+=200});am.loadComplete(aj.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(aj,l,am){var B="2.7.9";var t="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",S="STIXMathJax_Arrows-bold",w="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",U="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",R="STIXMathJax_Main-bold-italic",ak="STIXMathJax_Main-bold",P="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",n="STIXMathJax_Marks-italic",Z="STIXMathJax_Marks",ah="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ad="STIXMathJax_Misc-italic",x="STIXMathJax_Misc",al="STIXMathJax_Monospace",ab="STIXMathJax_Normal-bold-italic",Q="STIXMathJax_Normal-bold",T="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",v="STIXMathJax_Operators",N="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",an="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",O="STIXMathJax_Script-italic",W="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",m="STIXMathJax_Shapes",ae="STIXMathJax_Size1",ac="STIXMathJax_Size2",aa="STIXMathJax_Size3",Y="STIXMathJax_Size4",X="STIXMathJax_Size5",af="STIXMathJax_Symbols-bold",u="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ai="STIXMathJax_Variants-italic",M="STIXMathJax_Variants";var s="H",f="V",L={load:"extra",dir:s},y={load:"extra",dir:f};var ag=[8722,E,0,0,0,-0.26,-0.26];aj.Augment({FONTDATA:{version:B,TeX_factor:1.125,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{"STIXMathJax_Alphabets-bold-italic":"Alphabets/BoldItalic/Main.js","STIXMathJax_Alphabets-bold":"Alphabets/Bold/Main.js","STIXMathJax_Alphabets-italic":"Alphabets/Italic/Main.js",STIXMathJax_Alphabets:"Alphabets/Regular/Main.js","STIXMathJax_Arrows-bold":"Arrows/Bold/Main.js",STIXMathJax_Arrows:"Arrows/Regular/Main.js","STIXMathJax_DoubleStruck-bold-italic":"DoubleStruck/BoldItalic/Main.js","STIXMathJax_DoubleStruck-bold":"DoubleStruck/Bold/Main.js","STIXMathJax_DoubleStruck-italic":"DoubleStruck/Italic/Main.js",STIXMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js","STIXMathJax_Fraktur-bold":"Fraktur/Bold/Main.js",STIXMathJax_Fraktur:"Fraktur/Regular/Main.js","STIXMathJax_Latin-bold-italic":"Latin/BoldItalic/Main.js","STIXMathJax_Latin-bold":"Latin/Bold/Main.js","STIXMathJax_Latin-italic":"Latin/Italic/Main.js",STIXMathJax_Latin:"Latin/Regular/Main.js","STIXMathJax_Main-bold-italic":"Main/BoldItalic/Main.js","STIXMathJax_Main-bold":"Main/Bold/Main.js","STIXMathJax_Main-italic":"Main/Italic/Main.js",STIXMathJax_Main:"Main/Regular/Main.js","STIXMathJax_Marks-bold-italic":"Marks/BoldItalic/Main.js","STIXMathJax_Marks-bold":"Marks/Bold/Main.js","STIXMathJax_Marks-italic":"Marks/Italic/Main.js",STIXMathJax_Marks:"Marks/Regular/Main.js","STIXMathJax_Misc-bold-italic":"Misc/BoldItalic/Main.js","STIXMathJax_Misc-bold":"Misc/Bold/Main.js","STIXMathJax_Misc-italic":"Misc/Italic/Main.js",STIXMathJax_Misc:"Misc/Regular/Main.js",STIXMathJax_Monospace:"Monospace/Regular/Main.js","STIXMathJax_Normal-bold-italic":"Normal/BoldItalic/Main.js","STIXMathJax_Normal-bold":"Normal/Bold/Main.js","STIXMathJax_Normal-italic":"Normal/Italic/Main.js","STIXMathJax_Operators-bold":"Operators/Bold/Main.js",STIXMathJax_Operators:"Operators/Regular/Main.js","STIXMathJax_SansSerif-bold-italic":"SansSerif/BoldItalic/Main.js","STIXMathJax_SansSerif-bold":"SansSerif/Bold/Main.js","STIXMathJax_SansSerif-italic":"SansSerif/Italic/Main.js",STIXMathJax_SansSerif:"SansSerif/Regular/Main.js","STIXMathJax_Script-bold-italic":"Script/BoldItalic/Main.js","STIXMathJax_Script-italic":"Script/Italic/Main.js",STIXMathJax_Script:"Script/Regular/Main.js","STIXMathJax_Shapes-bold-italic":"Shapes/BoldItalic/Main.js","STIXMathJax_Shapes-bold":"Shapes/Bold/Main.js",STIXMathJax_Shapes:"Shapes/Regular/Main.js",STIXMathJax_Size1:"Size1/Regular/Main.js",STIXMathJax_Size2:"Size2/Regular/Main.js",STIXMathJax_Size3:"Size3/Regular/Main.js",STIXMathJax_Size4:"Size4/Regular/Main.js",STIXMathJax_Size5:"Size5/Regular/Main.js","STIXMathJax_Symbols-bold":"Symbols/Bold/Main.js",STIXMathJax_Symbols:"Symbols/Regular/Main.js","STIXMathJax_Variants-bold-italic":"Variants/BoldItalic/Main.js","STIXMathJax_Variants-bold":"Variants/Bold/Main.js","STIXMathJax_Variants-italic":"Variants/Italic/Main.js",STIXMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[E,al,K,e,Z,w,v,u,m,x,M,ae],remap:{124:[124,"-STIX-Web-variant"]}},bold:{fonts:[ak,Q,q,i,A,C,G,I,S,j,af,J,h,o,ae],offsetA:119808,offsetG:120488,bold:true,remap:{8706:120539,8711:120513}},italic:{fonts:[P,T,O,c,an,D,z,n,ad,ai,ae],offsetA:119860,offsetG:120546,remap:{119893:8462,8706:120597,8711:120571},italic:true},"bold-italic":{fonts:[R,ab,a,g,N,U,t,k,r,ah,F,ae],offsetA:119912,offsetG:120604,remap:{119893:8462,8706:120655,8711:120629},bold:true,italic:true},"double-struck":{fonts:[b],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[p],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[q],offsetA:120172,bold:true},script:{fonts:[O],offsetA:119964,italic:true,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[a],offsetA:120016,bold:true,italic:true},"sans-serif":{fonts:[d],offsetA:120224,offsetN:120802,offsetP:57725,remap:{8706:57724}},"bold-sans-serif":{fonts:[A],offsetA:120276,offsetN:120812,offsetG:120662,remap:{8706:120713,8711:120687}},"sans-serif-italic":{fonts:[an],italic:true,offsetA:120328,offsetN:57780,offsetP:57791,remap:{8706:57790},bold:true},"sans-serif-bold-italic":{fonts:[N],offsetA:120380,offsetN:57846,offsetG:120720,remap:{8706:120771,8711:120745},bold:true,italic:true},monospace:{fonts:[al],offsetA:120432,offsetN:120822},"-STIX-Web-variant":{remap:{10887:57360,10888:57359,9651:9653,9661:9663,124:[124,l.VARIANT.NORMAL]},fonts:[M,m,v,E,al,K,e,Z,w,u,x,ae]},"-tex-caligraphic":{offsetA:57901,noLowerCase:1,fonts:[ai,P,T,O,c,an,D,z,n,ad,ae],italic:true},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989},fonts:[M,E,al,K,e,Z,w,v,u,m,x,ae]},"-tex-caligraphic-bold":{offsetA:57927,noLowerCase:1,fonts:[F,R,ab,a,g,N,U,t,k,r,ah,ae],italic:true,bold:true},"-tex-oldstyle-bold":{offsetN:57953,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991},fonts:[o,ak,Q,q,i,A,C,G,I,S,j,af,J,h,ae],bold:true},"-tex-mathit":{fonts:[P,T,O,c,an,D,z,n,ad,ai,ae],italic:true,noIC:true},"-largeOp":{fonts:[ae,E]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:937,offset:"G"},{name:"vargreek",low:977,high:1014,offset:"G",remapOnly:true,remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}},{name:"PUAgreek",low:945,high:969,offset:"P",add:25},{name:"PUAGreek",low:913,high:937,offset:"P"},{name:"varPUAgreek",low:977,high:1014,offset:"P",remapOnly:true,remap:{1013:50,977:51,981:52,1009:53,982:54,1012:17}}],RULECHAR:9135,REMAP:{10:32,12296:10216,12297:10217,10072:8739,755:730,756:714,65079:9182,65080:9183},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u2190":"\u20D6","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:f,HW:[[0.853,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57344,X],ext:[57345,X],top:[57346,X]}},41:{dir:f,HW:[[0.853,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57347,X],ext:[57348,X],top:[57349,X]}},45:{alias:9135,dir:s},47:{dir:f,HW:[[0.69,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},61:L,91:{dir:f,HW:[[0.818,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57350,X],ext:[57351,X],top:[57352,X]}},92:{dir:f,HW:[[0.69,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},93:{dir:f,HW:[[0.818,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57353,X],ext:[57354,X],top:[57355,X]}},94:{alias:710,dir:s},95:{alias:9135,dir:s},123:{dir:f,HW:[[0.861,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57356,X],ext:[57357,X],mid:[57358,X],top:[57359,X]}},124:{dir:f,HW:[[0.69,E]],stretch:{bot:[124,E],ext:[124,E]}},125:{dir:f,HW:[[0.861,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57360,X],ext:[57357,X],mid:[57361,X],top:[57362,X]}},126:{alias:732,dir:s},175:{alias:9135,dir:s},710:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},711:L,713:{alias:9135,dir:s},717:L,732:{dir:s,HW:[[0.33,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},759:L,770:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},771:{dir:s,HW:[[0.33,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},773:{dir:s,HW:[[0.5,Z],[1,ae],[1.5,ac],[2,aa],[2.5,Y],[3,X]],stretch:{left:[57363,X],rep:[57363,X]}},780:{dir:s,HW:[[0.311,E],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},816:{dir:s,HW:[[0.33,Z],[0.56,ae],[0.979,ac],[1.46,aa],[1.886,Y],[2.328,X]]},818:{dir:s,HW:[[0.5,Z],[1,ae],[1.5,ac],[2,aa],[2.5,Y],[3,X]],stretch:{left:[57364,X],rep:[57364,X]}},824:{dir:f,HW:[[0.818,E],[0.553,ae],[0.662,ac],[0.818,aa],[0.959,Y],[1.414,X]]},8213:{alias:9135,dir:s},8214:{dir:f,HW:[[0.879,E]],stretch:{bot:[8214,E],ext:[8214,E]}},8215:{alias:9135,dir:s},8254:{dir:s,HW:[[0.5,E],[1,ae],[1.5,ac],[2,aa],[2.5,Y],[3,X]],stretch:{left:[8254,E],rep:[8254,E]}},8400:L,8401:L,8406:L,8407:{dir:s,HW:[[0.436,E],[0.872,ae],[1.308,ac],[1.744,aa],[2.18,Y],[3,X]],stretch:{rep:[57366,X],right:[57369,X]}},8417:L,8428:L,8429:L,8430:L,8431:L,8512:y,8592:{dir:s,HW:[[0.786,E]],stretch:{left:[8592,E],rep:ag}},8593:{dir:f,HW:[[0.818,E]],stretch:{ext:[9168,E],top:[8593,E]}},8594:{dir:s,HW:[[0.786,E]],stretch:{rep:ag,right:[8594,E]}},8595:{dir:f,HW:[[0.818,E]],stretch:{bot:[8595,E],ext:[9168,E]}},8596:{dir:s,HW:[[0.85,E]],stretch:{left:[8592,E],rep:ag,right:[8594,E]}},8597:{dir:f,HW:[[0.954,E]],stretch:{bot:[8595,E],ext:[9168,E],top:[8593,E]}},8606:L,8607:y,8608:L,8609:y,8612:L,8613:y,8614:L,8615:y,8616:y,8617:L,8618:L,8624:y,8625:y,8626:y,8627:y,8628:L,8629:y,8636:L,8637:L,8638:y,8639:y,8640:L,8641:L,8642:y,8643:y,8651:L,8652:L,8656:{dir:s,HW:[[0.806,E]],stretch:{left:[8656,E],rep:[57375,X]}},8657:{dir:f,HW:[[0.818,E]],stretch:{ext:[57376,X],top:[8657,E]}},8658:{dir:s,HW:[[0.806,E]],stretch:{rep:[57375,X],right:[8658,E]}},8659:{dir:f,HW:[[0.818,E]],stretch:{bot:[8659,E],ext:[57376,X]}},8660:{dir:s,HW:[[0.886,E]],stretch:{left:[8656,E],rep:[57375,X],right:[8658,E]}},8661:{dir:f,HW:[[0.954,E]],stretch:{bot:[8659,E],ext:[57376,X],top:[8657,E]}},8666:L,8667:L,8672:L,8673:y,8674:L,8675:y,8676:L,8677:L,8701:L,8702:L,8703:L,8719:y,8720:y,8721:y,8722:{alias:9135,dir:s},8725:{alias:47,dir:f},8730:{dir:f,HW:[[1.232,E],[1.847,ae],[2.46,ac],[3.075,aa]],stretch:{bot:[57378,X],ext:[57379,X],top:[57380,X]}},8731:y,8732:y,8739:{dir:f,HW:[[0.879,E]],stretch:{ext:[8739,E]}},8741:{dir:f,HW:[[0.879,E]],stretch:{ext:[8741,E]}},8747:y,8748:y,8749:y,8750:y,8751:y,8752:y,8753:y,8754:y,8755:y,8896:y,8897:y,8898:y,8899:y,8968:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{ext:[57351,X],top:[57352,X]}},8969:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{ext:[57354,X],top:[57355,X]}},8970:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57350,X],ext:[57351,X]}},8971:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]],stretch:{bot:[57353,X],ext:[57354,X]}},8978:{alias:9180,dir:s},8994:{alias:9180,dir:s},8995:{alias:9181,dir:s},9001:{alias:10216,dir:f},9002:{alias:10217,dir:f},9130:y,9135:{dir:s,HW:[[0.315,u]],stretch:{rep:[9135,u]}},9136:{dir:f,HW:[[1.001,X,null,57402]],stretch:{top:[57359,X],ext:[57357,X],bot:[57360,X]}},9137:{dir:f,HW:[[1.001,X,null,57403]],stretch:{top:[57362,X],ext:[57357,X],bot:[57356,X]}},9140:L,9141:L,9168:y,9180:L,9181:L,9182:{dir:s,HW:[[1,E],[0.925,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.238,X]],stretch:{left:[57393,X],rep:[57384,X],mid:[57394,X],right:[57395,X]}},9183:{dir:s,HW:[[1,E],[0.925,ae],[1.46,ac],[1.886,aa],[2.328,Y],[3.238,X]],stretch:{left:[57396,X],rep:[57387,X],mid:[57397,X],right:[57398,X]}},9184:L,9185:L,9472:{alias:8722,dir:s},10072:{alias:8739,dir:f},10098:y,10099:y,10214:y,10215:y,10216:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},10217:{dir:f,HW:[[0.926,E],[1.23,ae],[1.35,ae,1.098],[1.845,ac],[2.46,aa],[3.075,Y]]},10218:y,10219:y,10222:{dir:f,HW:[[0.853,E]],stretch:{bot:[57344,X],ext:[57345,X],top:[57346,X]}},10223:{dir:f,HW:[[0.853,E]],stretch:{bot:[57347,X],ext:[57348,X],top:[57349,X]}},10224:y,10225:y,10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:L,10503:L,10506:y,10507:y,10514:y,10515:y,10574:L,10575:y,10576:L,10577:y,10578:L,10579:L,10580:y,10581:y,10582:L,10583:L,10584:y,10585:y,10586:L,10587:L,10588:y,10589:y,10590:L,10591:L,10592:y,10593:y,10624:y,10627:y,10628:y,10629:y,10630:y,10647:y,10648:y,10744:{dir:f,HW:[[1.02,E],[1.845,ae]]},10745:{dir:f,HW:[[1.02,E],[1.845,ae]]},10752:y,10753:y,10754:y,10755:y,10756:y,10757:y,10758:y,10759:y,10760:y,10761:y,10762:y,10763:y,10764:y,10765:y,10766:y,10767:y,10768:y,10769:y,10770:y,10771:y,10772:y,10773:y,10774:y,10775:y,10776:y,10777:y,10778:y,10779:y,10780:y,11004:y,11007:y,11077:L,11078:{dir:s,HW:[[0.818,m]],stretch:{rep:[57401,X],right:[11078,m]}},12296:{alias:10216,dir:f},12297:{alias:10217,dir:f},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(aj.fontDir+"/Main/Regular/Main.js",function(){aj.FONTDATA.FONTS[E][8942][0]+=400;aj.FONTDATA.FONTS[E][8945][0]+=500;aj.FONTDATA.FONTS[E][8722][0]=aj.FONTDATA.FONTS[E][43][0];aj.FONTDATA.FONTS[E][8722][1]=aj.FONTDATA.FONTS[E][43][1];aj.FONTDATA.FONTS[E][61][1]+=100});MathJax.Hub.Register.LoadHook(aj.fontDir+"/Size5/Regular/Main.js",function(){var H;H=aj.FONTDATA.DELIMITERS[9182].stretch.rep[0];aj.FONTDATA.FONTS[X][H][0]+=200;aj.FONTDATA.FONTS[X][H][1]+=200;H=aj.FONTDATA.DELIMITERS[9183].stretch.rep[0];aj.FONTDATA.FONTS[X][H][0]+=200;aj.FONTDATA.FONTS[X][H][1]+=200});am.loadComplete(aj.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js
index b2ff79d8f6..b8ad5bbc4d 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js
index 6cd3adc289..a8b17ed48f 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js
index a8285266ff..5f718c88c3 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js
index 548937aceb..dbce3afaef 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js
index de64dcffce..1e9478e4b6 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js
index c6beb696d6..6f27e0bbd8 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js
index 24925d7af2..df92f92d56 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js
index 40c5ceffa0..7c7e3bc493 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js
index c9ddb3f653..0fff32d257 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js
index 11997c5778..82bc8a5e2d 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js
index 937fb53f1d..31fbeb0caf 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js
index ac2e10aa03..e20455d07a 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js
index 9962b937e4..ba5653d65a 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js
index 87df50dfb1..fd6cc15952 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js
index f53f15e9c4..e46ac219cf 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js
index d7f8adcb22..b94660d049 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js
index bcc4e01df3..3065ea3a3d 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js
index 6e3c110100..e6a5466a93 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js
index 6b9b7c4592..69c844ded0 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js
index 060a9add35..6b66209140 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js
index 87ad7fc91f..1b3cdafedf 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js
index e48116f44b..0972c40720 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js
index 97dfc11d7b..0f07126367 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js
index 22f9e834bf..3fa7c32847 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js
index 1cd8804226..5f5a048fb7 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js
index ff8dfd1059..8c1b4ce0c4 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js
index a5bd2a8284..fc18aaeca0 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js
index 78a98fb076..4a8f205122 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js
index f66244c6a5..93debfed52 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js
index 37c6b26973..8e8d852adf 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js
index 6b42c37d5f..5028fbd8f0 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js
index 44c4c4520f..7d98c6d791 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js
index d9f90a3d36..2c4b8a4bdc 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js
index e6c856ec69..ca343a5a54 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js
index ad0cc4c3f1..640b0d14df 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js b/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js
index f17aea1e41..c325af6736 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js
index 7b6ff56411..b5fc9a9f6d 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js
index 4432218d65..f6e1f93eb1 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js
index 6223e9b47a..4bbd3533d4 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js
index 1b2b163d1e..89d8a836a4 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js
index a315b4f521..4a84b755b9 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js
index 223edf09cb..f9f93fba58 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js
index 496f51993c..235eb77078 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js
index 11e28c81bf..548385d568 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js
index 16c33a816b..8090fdb3c0 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js
index 142846793d..481668895f 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js
index bcfd752c23..74662f3c0e 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXGeneral-bold-italic"],{120604:[685,0,759,39,724],120605:[669,0,726,42,715],120606:[669,0,634,42,749],120607:[685,0,632,32,589],120608:[669,0,732,42,754],120609:[669,0,797,66,830],120610:[669,0,891,42,946],120611:[685,16,783,55,755],120612:[669,0,502,42,557],120613:[669,0,795,42,839],120614:[685,0,759,39,724],120615:[669,0,1016,42,1071],120616:[669,0,869,42,924],120617:[669,0,718,57,757],120618:[685,16,777,55,755],120619:[669,0,887,39,942],120620:[669,0,612,42,733],120621:[685,16,783,55,755],120622:[669,0,759,64,787],120623:[669,0,568,28,700],120624:[685,0,641,31,784],120625:[669,0,827,28,799],120626:[669,0,808,28,830],120627:[685,0,694,30,781],120628:[685,0,826,57,815],120629:[669,16,632,43,600],120630:[461,12,624,44,630],120631:[685,205,555,28,583],120632:[462,203,490,44,503],120633:[685,8,538,44,538],120634:[462,10,495,28,451],120635:[685,203,472,44,522],120636:[462,205,517,33,511],120637:[686,11,566,44,555],120638:[462,9,318,55,274],120639:[462,0,560,55,577],120640:[685,16,570,55,537],120641:[449,205,636,33,603],120642:[459,10,523,55,534],120643:[685,203,476,28,487],120644:[462,10,561,44,539],120645:[449,13,579,39,590],120646:[462,205,595,33,562],120647:[462,203,480,39,508],120648:[449,10,592,44,603],120649:[449,7,469,33,502],120650:[462,10,552,33,535],120651:[462,205,706,55,667],120652:[462,204,621,33,676],120653:[462,205,701,33,756],120654:[462,10,687,22,665],120655:[686,10,559,44,559],120656:[461,10,481,44,481],120657:[698,13,607,33,584],120658:[462,15,607,-12,630],120659:[685,205,683,44,655],120660:[462,205,585,44,563],120661:[449,10,868,33,879]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/General/BoldItalic/GreekBoldItalic.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXGeneral-bold-italic"],{skew:{120604:0.16,120605:0.14,120606:0.09,120607:0.16,120608:0.14,120609:0.14,120610:0.1,120611:0.12,120612:0.1,120613:0.12,120614:0.16,120615:0.11,120616:0.1,120617:0.14,120618:0.14,120619:0.12,120620:0.08,120621:0.14,120622:0.14,120625:0.12,120626:0.14,120628:0.16,120629:0.05,120630:0.05,120631:0.1,120632:0.05,120633:0.12,120634:0.07,120635:0.09,120636:0.07,120637:0.1,120638:0.05,120640:0.07,120641:0.1,120642:0.07,120643:0.12,120644:0.08,120645:0.08,120646:0.1,120647:0.1,120648:0.05,120649:0.05,120650:0.05,120651:0.05,120652:0.09,120654:0.05,120656:0.1,120657:0.1,120658:0.05,120659:0.12,120660:0.1,120661:0.09,},120604:[685,0,759,39,724],120605:[669,0,726,42,715],120606:[669,0,634,42,749],120607:[685,0,632,32,589],120608:[669,0,732,42,754],120609:[669,0,797,66,830],120610:[669,0,891,42,946],120611:[685,16,783,55,755],120612:[669,0,502,42,557],120613:[669,0,795,42,839],120614:[685,0,759,39,724],120615:[669,0,1016,42,1071],120616:[669,0,869,42,924],120617:[669,0,718,57,757],120618:[685,16,777,55,755],120619:[669,0,887,39,942],120620:[669,0,612,42,733],120621:[685,16,783,55,755],120622:[669,0,759,64,787],120623:[669,0,568,28,700],120624:[685,0,641,31,784],120625:[669,0,827,28,799],120626:[669,0,808,28,830],120627:[685,0,694,30,781],120628:[685,0,826,57,815],120629:[669,16,632,43,600],120630:[461,12,624,44,630],120631:[685,205,555,28,583],120632:[462,203,490,44,503],120633:[685,8,538,44,538],120634:[462,10,495,28,451],120635:[685,203,472,44,522],120636:[462,205,517,33,511],120637:[686,11,566,44,555],120638:[462,9,318,55,274],120639:[462,0,560,55,577],120640:[685,16,570,55,537],120641:[449,205,636,33,603],120642:[459,10,523,55,534],120643:[685,203,476,28,487],120644:[462,10,561,44,539],120645:[449,13,579,39,590],120646:[462,205,595,33,562],120647:[462,203,480,39,508],120648:[449,10,592,44,603],120649:[449,7,469,33,502],120650:[462,10,552,33,535],120651:[462,205,706,55,667],120652:[462,204,621,33,676],120653:[462,205,701,33,756],120654:[462,10,687,22,665],120655:[686,10,559,44,559],120656:[461,10,481,44,481],120657:[698,13,607,33,584],120658:[462,15,607,-12,630],120659:[685,205,683,44,655],120660:[462,205,585,44,563],120661:[449,10,868,33,879]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/General/BoldItalic/GreekBoldItalic.js");
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js
index 5281dee01b..a295874a99 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js
index c9b3209982..3890c14f4c 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js
index 45402016fe..3c5f708189 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js
index 7addf58b49..2c036deebe 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js
index 516a046d63..329b9c6d70 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js
index 2bcc759dbc..5c6318698b 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js
index 427c6d5766..dba19a5d9a 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js
index abdc78a663..5b375ed5d0 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js
index b8e60b4829..678a3ebdca 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXGeneral-bold-italic"],{119912:[685,0,759,39,724],119913:[669,0,726,42,715],119914:[685,12,701,55,745],119915:[669,0,818,42,790],119916:[669,0,732,42,754],119917:[669,0,635,44,750],119918:[685,12,768,55,768],119919:[669,0,891,42,946],119920:[669,0,502,42,557],119921:[669,12,558,66,646],119922:[669,0,795,42,839],119923:[669,0,744,42,700],119924:[669,0,1016,42,1071],119925:[669,0,869,42,924],119926:[685,16,777,55,755],119927:[669,0,612,42,733],119928:[685,154,810,55,756],119929:[669,0,801,42,784],119930:[685,10,671,55,704],119931:[669,0,568,28,700],119932:[669,10,733,72,810],119933:[669,15,593,66,797],119934:[669,17,925,66,1129],119935:[669,0,808,28,830],119936:[669,0,549,39,725],119937:[669,0,797,66,830],119938:[462,10,581,44,548],119939:[685,8,509,50,487],119940:[462,10,477,44,460],119941:[685,14,595,44,589],119942:[462,10,498,44,459],119943:[685,207,572,44,632],119944:[462,203,527,22,527],119945:[685,10,576,50,543],119946:[620,9,357,55,300],119947:[620,207,431,-18,414],119948:[685,11,580,55,563],119949:[685,9,346,50,310],119950:[467,9,760,33,727],119951:[467,10,559,33,526],119952:[462,10,561,44,539],119953:[469,205,571,-33,554],119954:[462,205,526,44,532],119955:[467,0,441,33,424],119956:[462,11,474,55,419],119957:[592,10,351,44,318],119958:[463,10,535,33,502],119959:[473,14,554,52,539],119960:[473,14,814,52,799],119961:[462,8,587,33,543],119962:[462,205,519,35,522],119963:[462,19,531,35,499]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/General/BoldItalic/MathBoldItalic.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXGeneral-bold-italic"],{skew:{119912:0.16,119913:0.14,119914:0.12,119915:0.1,119916:0.1,119917:0.1,119918:0.12,119919:0.1,119920:0.1,119921:0.1,119922:0.1,119923:0.05,119924:0.08,119925:0.08,119926:0.12,119927:0.05,119928:0.12,119929:0.1,119930:0.12,119933:-0.05,119934:-0.09,119935:0.12,119936:-0.05,119937:0.1,119938:0.09,119939:0.03,119940:0.09,119941:0.22,119942:0.09,119943:0.19,119944:0.08,119946:0.1,119947:0.16,119949:0.09,119950:0.09,119951:0.05,119952:0.09,119953:0.09,119954:0.1,119955:0.07,119956:0.07,119957:0.09,119958:0.05,119959:0.08,119960:0.1,119961:0.05,119962:0.1,119963:0.07,},119912:[685,0,759,39,724],119913:[669,0,726,42,715],119914:[685,12,701,55,745],119915:[669,0,818,42,790],119916:[669,0,732,42,754],119917:[669,0,635,44,750],119918:[685,12,768,55,768],119919:[669,0,891,42,946],119920:[669,0,502,42,557],119921:[669,12,558,66,646],119922:[669,0,795,42,839],119923:[669,0,744,42,700],119924:[669,0,1016,42,1071],119925:[669,0,869,42,924],119926:[685,16,777,55,755],119927:[669,0,612,42,733],119928:[685,154,810,55,756],119929:[669,0,801,42,784],119930:[685,10,671,55,704],119931:[669,0,568,28,700],119932:[669,10,733,72,810],119933:[669,15,593,66,797],119934:[669,17,925,66,1129],119935:[669,0,808,28,830],119936:[669,0,549,39,725],119937:[669,0,797,66,830],119938:[462,10,581,44,548],119939:[685,8,509,50,487],119940:[462,10,477,44,460],119941:[685,14,595,44,589],119942:[462,10,498,44,459],119943:[685,207,572,44,632],119944:[462,203,527,22,527],119945:[685,10,576,50,543],119946:[620,9,357,55,300],119947:[620,207,431,-18,414],119948:[685,11,580,55,563],119949:[685,9,346,50,310],119950:[467,9,760,33,727],119951:[467,10,559,33,526],119952:[462,10,561,44,539],119953:[469,205,571,-33,554],119954:[462,205,526,44,532],119955:[467,0,441,33,424],119956:[462,11,474,55,419],119957:[592,10,351,44,318],119958:[463,10,535,33,502],119959:[473,14,554,52,539],119960:[473,14,814,52,799],119961:[462,8,587,33,543],119962:[462,205,519,35,522],119963:[462,19,531,35,499]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/General/BoldItalic/MathBoldItalic.js");
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js
index fda781c472..08a3e89362 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js
index 4bad3c961b..9085d67992 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js
index d6614ad088..09e6583baf 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js
index 44ad31995b..5ffdd53082 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js
index 937d1f0cf7..39cb29b20f 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js
index 1a6bb9b7d9..1a6b64b017 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js
index 5f266a8e71..fc5c6157a0 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js
index 93b8dda43c..f15b11260c 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js
index 9571388d0b..87fd20a8e6 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js
index 30e89dd4b0..9b27ffccda 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js
index 83e511516c..fb2d2f8127 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js
index f04a2fc3b2..aa4adf4583 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js
index 8767b413d7..a228c624b9 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js
index 888204887d..8049e4a3cf 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXGeneral-italic"],{120546:[667,0,717,35,685],120547:[653,0,696,38,686],120548:[653,0,616,38,721],120549:[667,0,596,30,556],120550:[653,0,714,38,734],120551:[653,0,772,60,802],120552:[653,0,873,38,923],120553:[669,11,737,50,712],120554:[653,0,480,38,530],120555:[653,0,762,38,802],120556:[667,0,718,35,686],120557:[653,0,1005,38,1055],120558:[653,0,851,38,901],120559:[653,0,706,52,741],120560:[669,11,732,50,712],120561:[653,0,873,38,923],120562:[653,0,594,38,704],120563:[669,11,737,50,712],120564:[653,0,735,58,760],120565:[653,0,550,25,670],120566:[668,0,613,28,743],120567:[653,0,772,25,747],120568:[653,0,790,25,810],120569:[667,0,670,28,743],120570:[666,0,800,32,777],120571:[653,15,627,42,600],120572:[441,10,524,40,529],120573:[668,183,493,25,518],120574:[441,187,428,35,458],120575:[668,11,463,40,451],120576:[441,11,484,25,444],120577:[668,183,435,40,480],120578:[441,183,460,30,455],120579:[668,11,484,40,474],120580:[441,11,267,50,227],120581:[441,0,534,50,549],120582:[668,16,541,50,511],120583:[428,183,579,30,549],120584:[446,9,452,50,462],120585:[668,183,433,25,443],120586:[441,11,458,40,438],120587:[428,13,558,35,568],120588:[441,183,502,30,472],120589:[490,183,439,35,464],120590:[428,11,537,40,547],120591:[428,5,442,30,472],120592:[439,11,460,30,445],120593:[441,183,666,50,631],120594:[441,202,595,30,645],120595:[441,183,661,30,711],120596:[441,11,681,20,661],120597:[668,11,471,40,471],120598:[441,11,430,40,430],120599:[678,10,554,20,507],120600:[441,13,561,12,587],120601:[668,183,645,40,620],120602:[441,187,509,40,489],120603:[428,11,856,30,866]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/General/Italic/GreekItalic.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXGeneral-italic"],{skew:{120546:0.16,120547:0.14,120548:0.09,120549:0.16,120550:0.14,120551:0.14,120552:0.1,120553:0.12,120554:0.1,120555:0.12,120556:0.16,120557:0.12,120558:0.1,120559:0.14,120560:0.14,120561:0.12,120562:0.08,120563:0.14,120564:0.14,120567:0.12,120568:0.14,120570:0.16,120571:0.05,120572:0.05,120573:0.1,120574:0.05,120575:0.12,120576:0.07,120577:0.07,120578:0.05,120579:0.09,120580:0.05,120582:0.07,120583:0.1,120584:0.07,120585:0.12,120586:0.08,120587:0.08,120588:0.1,120589:0.1,120590:0.05,120592:0.05,120593:0.05,120594:0.09,120596:0.05,120598:0.1,120599:0.1,120602:0.1,120603:0.07,},120546:[667,0,717,35,685],120547:[653,0,696,38,686],120548:[653,0,616,38,721],120549:[667,0,596,30,556],120550:[653,0,714,38,734],120551:[653,0,772,60,802],120552:[653,0,873,38,923],120553:[669,11,737,50,712],120554:[653,0,480,38,530],120555:[653,0,762,38,802],120556:[667,0,718,35,686],120557:[653,0,1005,38,1055],120558:[653,0,851,38,901],120559:[653,0,706,52,741],120560:[669,11,732,50,712],120561:[653,0,873,38,923],120562:[653,0,594,38,704],120563:[669,11,737,50,712],120564:[653,0,735,58,760],120565:[653,0,550,25,670],120566:[668,0,613,28,743],120567:[653,0,772,25,747],120568:[653,0,790,25,810],120569:[667,0,670,28,743],120570:[666,0,800,32,777],120571:[653,15,627,42,600],120572:[441,10,524,40,529],120573:[668,183,493,25,518],120574:[441,187,428,35,458],120575:[668,11,463,40,451],120576:[441,11,484,25,444],120577:[668,183,435,40,480],120578:[441,183,460,30,455],120579:[668,11,484,40,474],120580:[441,11,267,50,227],120581:[441,0,534,50,549],120582:[668,16,541,50,511],120583:[428,183,579,30,549],120584:[446,9,452,50,462],120585:[668,183,433,25,443],120586:[441,11,458,40,438],120587:[428,13,558,35,568],120588:[441,183,502,30,472],120589:[490,183,439,35,464],120590:[428,11,537,40,547],120591:[428,5,442,30,472],120592:[439,11,460,30,445],120593:[441,183,666,50,631],120594:[441,202,595,30,645],120595:[441,183,661,30,711],120596:[441,11,681,20,661],120597:[668,11,471,40,471],120598:[441,11,430,40,430],120599:[678,10,554,20,507],120600:[441,13,561,12,587],120601:[668,183,645,40,620],120602:[441,187,509,40,489],120603:[428,11,856,30,866]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/General/Italic/GreekItalic.js");
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js
index 1f5c4bfe8a..6ad4345aee 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js
index b515c0be59..9fba5cfb5b 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js
index f63a5efc10..007ec77d86 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js
index 3ec4912d3d..9aabfb498c 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js
index 090d6e9da3..9f03630dbb 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js
index f1edca2308..7106b6fb1b 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js
index 36e938ead7..222a534b30 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js
index e1ec5b5c65..45f3814f23 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXGeneral-italic"],{119860:[667,0,717,35,685],119861:[653,0,696,38,686],119862:[659,12,671,50,711],119863:[653,0,790,38,765],119864:[653,0,714,38,734],119865:[653,0,618,38,723],119866:[668,12,734,50,734],119867:[653,0,873,38,923],119868:[653,0,480,38,530],119869:[653,12,540,60,620],119870:[653,0,762,38,802],119871:[653,0,708,38,668],119872:[653,0,1005,38,1055],119873:[653,0,851,38,901],119874:[669,11,732,50,712],119875:[653,0,594,38,704],119876:[667,152,781,50,731],119877:[653,0,740,38,725],119878:[668,10,650,50,680],119879:[653,0,550,25,670],119880:[653,13,705,65,775],119881:[653,16,575,60,760],119882:[653,16,916,60,1101],119883:[653,0,790,25,810],119884:[653,0,535,35,695],119885:[653,0,772,60,802],119886:[441,10,502,40,472],119887:[668,11,470,45,450],119888:[441,11,415,40,400],119889:[668,12,532,40,527],119890:[441,11,445,40,410],119891:[668,187,555,40,615],119892:[441,187,492,20,492],119894:[616,11,311,50,257],119895:[616,187,389,-16,372],119896:[668,11,542,45,527],119897:[668,10,318,45,278],119898:[441,8,710,30,680],119899:[441,8,497,30,467],119900:[441,11,458,40,438],119901:[441,183,489,-30,474],119902:[441,183,458,40,463],119903:[441,0,408,30,393],119904:[441,11,440,50,390],119905:[567,9,313,40,283],119906:[441,9,474,30,444],119907:[458,9,506,72,479],119908:[460,9,775,72,748],119909:[441,9,550,30,510],119910:[440,183,496,30,496],119911:[450,14,499,42,467]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/General/Italic/MathItalic.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXGeneral-italic"],{skew:{119860:0.16,119861:0.14,119862:0.12,119863:0.1,119864:0.1,119865:0.1,119866:0.12,119867:0.1,119868:0.1,119869:0.1,119870:0.1,119871:0.05,119872:0.08,119873:0.08,119874:0.12,119875:0.05,119876:0.12,119877:0.1,119878:0.12,119883:0.12,119884:-0.05,119885:0.1,119886:0.09,119887:0.03,119888:0.09,119889:0.2,119890:0.09,119891:0.19,119892:0.08,119894:0.08,119895:0.16,119897:0.09,119898:0.09,119899:0.05,119900:0.09,119901:0.09,119902:0.1,119903:0.07,119904:0.07,119905:0.07,119906:0.05,119907:0.08,119908:0.1,119909:0.05,119910:0.1,119911:0.07,},119860:[667,0,717,35,685],119861:[653,0,696,38,686],119862:[659,12,671,50,711],119863:[653,0,790,38,765],119864:[653,0,714,38,734],119865:[653,0,618,38,723],119866:[668,12,734,50,734],119867:[653,0,873,38,923],119868:[653,0,480,38,530],119869:[653,12,540,60,620],119870:[653,0,762,38,802],119871:[653,0,708,38,668],119872:[653,0,1005,38,1055],119873:[653,0,851,38,901],119874:[669,11,732,50,712],119875:[653,0,594,38,704],119876:[667,152,781,50,731],119877:[653,0,740,38,725],119878:[668,10,650,50,680],119879:[653,0,550,25,670],119880:[653,13,705,65,775],119881:[653,16,575,60,760],119882:[653,16,916,60,1101],119883:[653,0,790,25,810],119884:[653,0,535,35,695],119885:[653,0,772,60,802],119886:[441,10,502,40,472],119887:[668,11,470,45,450],119888:[441,11,415,40,400],119889:[668,12,532,40,527],119890:[441,11,445,40,410],119891:[668,187,555,40,615],119892:[441,187,492,20,492],119894:[616,11,311,50,257],119895:[616,187,389,-16,372],119896:[668,11,542,45,527],119897:[668,10,318,45,278],119898:[441,8,710,30,680],119899:[441,8,497,30,467],119900:[441,11,458,40,438],119901:[441,183,489,-30,474],119902:[441,183,458,40,463],119903:[441,0,408,30,393],119904:[441,11,440,50,390],119905:[567,9,313,40,283],119906:[441,9,474,30,444],119907:[458,9,506,72,479],119908:[460,9,775,72,748],119909:[441,9,550,30,510],119910:[440,183,496,30,496],119911:[450,14,499,42,467]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/General/Italic/MathItalic.js");
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js
index fa9a80e304..c7456fd1e9 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js
index 24968d2ab9..3cc851f1a2 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js
index a23dd7a812..d5f1ca7b03 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js
index 24b8d370ef..b8737b2a50 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js b/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js
index debce995d9..ed8890500e 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXGeneral-italic"],{120484:[441,11,278,47,235],120485:[441,207,278,-124,246]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/General/Italic/ij.js");
+MathJax.Hub.Insert(MathJax.OutputJax["HTML-CSS"].FONTDATA.FONTS["STIXGeneral-italic"],{skew:{120484:0.05,120485:0.07,},120484:[441,11,278,47,235],120485:[441,207,278,-124,246]});MathJax.Ajax.loadComplete(MathJax.OutputJax["HTML-CSS"].fontDir+"/General/Italic/ij.js");
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js
index c2ef8f393d..872fd0b09d 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js
index 978e6ba3ab..6ad525efb1 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js
index aed1a28dbd..6cdfa58f77 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js
index de3c26476c..f9a04d3fee 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js
index 3fd5659f80..5b9621ab01 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js
index 52d4036795..c595bb7da9 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js
index 623c7a8332..f7ac119525 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js
index 9b85342f5e..d8231384c3 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js
index e0103c8c96..5d9450bf0a 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js
index 8a5db8c6dd..65407e3361 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js
index 17964dc2ff..d25a38e9c7 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js
index e2f5ac7924..14cee0759b 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js
index 801edb1da5..0ab395a3da 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js
index 9ad1bf7217..525f12cf49 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js
index bf5f9a7533..f2d7e13137 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js
index af2238a35f..6a2ed71b39 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js
index 219358783b..f0ddafb41e 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js
index 721a991620..da5f51e6d1 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js
index 69b4ec00bd..2f547674a0 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js
index 75842712ed..169cd8ed8e 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js
index 83290c5404..7c2ae4d1ba 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js
index f2247a3e9f..5c6cb84df8 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js
index c4345f1d5d..4905149cc8 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js
index 26dd751060..4ccbba1087 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js
index 1e2f16e345..18be0e7f11 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js
index e9c2f50ae6..e5917aa19d 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js
index ea52bd6ad9..2e1c0ea588 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js
index c485fe4ee1..0d15afbc1b 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js
index 4e0fe17916..a16249b1c2 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js
index ac45a5689b..fc8e2753b1 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js
index 09bb32d35d..3cc808e145 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js
index 1523578c49..f0f9ea0f5e 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js
index 185a55dd63..7a081137b6 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js
index f951d40d0c..f33e6dac67 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js
index daccc36c0c..b81ed1e80e 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js
index 5b87ce84f9..1c69e6fdfe 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js
index 6335a08c1e..f3b82eb1ca 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js
index c0c1a4b8ee..ca0bd47f82 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js
index c6f95105a6..70d3193b81 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js
index 8aaff87323..12723f0ef2 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js
index d3df66c46c..659701fc8f 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js
index c6ddc81b17..ffcafa4b02 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js
index 6da4689cf0..e0689754f7 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js
index 1ba0edd3cf..1a81c537d2 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js
index 28c4e01fac..51464de934 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js
index 7f7ab40b54..f519b10dba 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js
index 973828586d..9e6ada4827 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js
index 008b66a8ff..c42537051a 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js
index c3c06f2999..249ca052a3 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js
index 392192ab8d..d9c967d867 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js
index 848bc9752e..584177c94d 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js
index 127f8606e0..7ac2d7ed72 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js
index e83e51c7a2..41a6c63ef8 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js
index 962ddc7165..e64f45319a 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js
index 652df22649..f07ffeea5b 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js
index 1098edc3a0..010c0db503 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js b/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js
index f651900f85..bb7d1621d5 100644
--- a/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js
+++ b/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js
index 548840d1c5..f5d60c0a82 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js
index d8df4df3bf..ddf499eba3 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js
index 9d4596d4ad..7eef2dbb27 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js
index 6b0c49e241..b9649c0697 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js
index 0699866dcd..0f8715bd67 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js
index 9819712a85..a35a93ecec 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js
index db4decdbd6..ad17668180 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js
index b9a42bce1f..43eb9d5bd9 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js
index 748ff96520..42c676fc5f 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js
index 32539950bc..fdf61c5eb8 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js
index 8e9616bab7..2b0737b7da 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js
index 72ba4a9344..b226f9f90c 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js
index 4ac6e30b1f..61b0affb46 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js
index 7792286231..51338464d4 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js
index 0304e029ff..2ce60f8b19 100644
--- a/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js
index f00ed88bdc..1708fea7f6 100644
--- a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js
index 3de1f02535..845f594f2b 100644
--- a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js
index f9d4cb2c7f..66d87363bb 100644
--- a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js
+++ b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js
index 5409281748..2c36a21f66 100644
--- a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js
index 6edff1540f..10c8cb3608 100644
--- a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js
index e67b471b20..920bf92a42 100644
--- a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js
+++ b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js
index db13052696..bacf8df697 100644
--- a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js
index 4b1058da3e..57f7b25fbd 100644
--- a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js
index 18ba9fe70b..8ba6523bae 100644
--- a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js
+++ b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js
index 9450fd02db..948ced922b 100644
--- a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js
index 400481d58a..4cd2d7290a 100644
--- a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js
index 1913873f20..527e8a53cc 100644
--- a/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js
+++ b/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js b/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js
index 1e48743ebc..99e06d71a9 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js
index 69554b016f..48f4a5d2aa 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js
index a7d1ae828d..94d14f8dc2 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js b/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js
index a4265cc42b..3c52745349 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js
index 946558a116..2daffa21f1 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js b/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js
index ed1ed73429..31574035e1 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js
index 04310914a6..a671dca0d5 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js b/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js
index fa4e266267..5418c7b2ce 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js
index 538d20489c..0d4bd1ee83 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js
index bbe51e7489..2149a1f769 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js b/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js
index 8c17dc07df..62f0fcff27 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js
index 2680510cdb..72264965f5 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js
index 3b781a50d9..6b97b73d24 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js b/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js
index 5234485d91..64f2753434 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js
index 463c535577..85055ebedc 100644
--- a/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js b/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js
index b66b8117d5..d980f305b1 100644
--- a/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js b/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js
index 51fb668d24..dea8fe9866 100644
--- a/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js b/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js
index b33303fa2c..fc6a03ef44 100644
--- a/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js
+++ b/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js b/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js
index efab494704..72340407fe 100644
--- a/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js b/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js
index c148ab09eb..230d97d35b 100644
--- a/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js
+++ b/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js b/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js
index 62aed9f91c..b6c5740c1e 100644
--- a/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js
+++ b/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js b/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js
index 788c2cf919..ca6bc3a93d 100644
--- a/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(h){var q="2.7.6";var n=h.FONTDATA.DELIMITERS;var l="STIXGeneral",i="STIXGeneral-bold",k="STIXVariants",o="STIXNonUnicode",f="STIXSizeOneSym",d="STIXSizeTwoSym",b="STIXSizeThreeSym",a="STIXSizeFourSym",p="STIXSizeFiveSym",j="STIXIntegralsD";var m="H",g="V";var e={61:{dir:m,HW:[[0.685,l]],stretch:{rep:[61,l]}},8606:{dir:m,HW:[[0.926,l]],stretch:{left:[8606,l],rep:[8722,l]}},8608:{dir:m,HW:[[0.926,l]],stretch:{right:[8608,l],rep:[8722,l]}},8612:{dir:m,HW:[[0.926,l]],stretch:{left:[8592,k],rep:[8722,l],right:[8867,i,0,0.1,0.6]}},8613:{dir:g,HW:[[0.816,l]],stretch:{bot:[95,l,0.05,-0.01,0.8],ext:[9168,l],top:[8593,l]}},8614:{dir:m,HW:[[1,l]],stretch:{left:[57526,o],rep:[8722,l],right:[8594,l]}},8615:{dir:g,HW:[[0.816,l]],stretch:{top:[8868,i,0.04,0,0.6],ext:[9168,l],bot:[8595,l]}},8624:{dir:g,HW:[[0.818,l]],stretch:{top:[8624,l],ext:[9168,l,0.152]}},8625:{dir:g,HW:[[0.818,l]],stretch:{top:[8625,l],ext:[9168,l,-0.195]}},8636:{dir:m,HW:[[0.955,l]],stretch:{left:[8636,l],rep:[8722,l]}},8637:{dir:m,HW:[[0.955,l]],stretch:{left:[8637,l],rep:[8722,l]}},8638:{dir:g,HW:[[0.818,l]],stretch:{top:[8638,l],ext:[9168,l]}},8639:{dir:g,HW:[[0.818,l]],stretch:{top:[8639,l],ext:[9168,l]}},8640:{dir:m,HW:[[0.955,l]],stretch:{right:[8640,l],rep:[8722,l]}},8641:{dir:m,HW:[[0.955,l]],stretch:{right:[8641,l],rep:[8722,l]}},8642:{dir:g,HW:[[0.818,l]],stretch:{bot:[8642,l],ext:[9168,l]}},8643:{dir:g,HW:[[0.818,l]],stretch:{bot:[8643,l],ext:[9168,l]}},8666:{dir:m,HW:[[0.926,l]],stretch:{left:[8666,l],rep:[8801,l]}},8667:{dir:m,HW:[[0.926,l]],stretch:{right:[8667,l],rep:[8801,l]}},8747:{dir:g,HW:[[0.607,l],[0.979,j]],stretch:{top:[8992,f],ext:[9134,f],bot:[8993,f]}},9140:{dir:m,HW:[[0.926,l],[1.063,f],[1.606,d],[2.147,b],[2.692,a],[3.237,p]],stretch:{left:[8976,l],rep:[8722,l,0,0.12],right:[172,l]}},9141:{dir:m,HW:[[0.926,l],[1.063,f],[1.606,d],[2.147,b],[2.692,a],[3.237,p]],stretch:{left:[10813,l,0,0.12],rep:[8722,l,0,0,0,0.12],right:[10812,l,0,0.12]}},9180:{dir:m,HW:[[0.926,f],[1,l],[1.46,d],[1.886,b],[2.328,a],[3.237,p]],stretch:{left:[57659,o],right:[57660,o],rep:[57674,o]}},9181:{dir:m,HW:[[0.926,f],[1,l],[1.46,d],[1.886,b],[2.328,a],[3.237,p]],stretch:{left:[57661,o],right:[57662,o],rep:[57675,o]}},9184:{dir:m,HW:[[1,l],[1.46,f],[1.886,d],[2.312,b],[2.738,a],[3.164,p]],stretch:{left:[57613,o,-0.1,-0.1],rep:[8722,l,0,0.05],right:[57612,o,0,-0.1],fullExtenders:true}},9185:{dir:m,HW:[[1,l],[1.46,f],[1.886,d],[2.312,b],[2.738,a],[3.164,p]],stretch:{left:[57612,o,-0.1,0.1],rep:[8722,l,0,-0.1,0,0.1],right:[57613,o,0,0.1],fullExtenders:true}},10502:{dir:m,HW:[[0.926,l]],stretch:{left:[8656,l],rep:[61,l],right:[10980,l,0,-0.09]}},10503:{dir:m,HW:[[0.926,l]],stretch:{left:[8872,l,0,-0.09],rep:[61,l],right:[8658,l]}},10574:{dir:m,HW:[],stretch:{left:[8636,l],rep:[8722,l],right:[8640,l]}},10575:{dir:g,HW:[[0.818,l]],stretch:{top:[8638,l],ext:[9168,l],bot:[8642,l]}},10576:{dir:m,HW:[[0.926,l]],stretch:{left:[8637,l],rep:[8722,l],right:[8641,l]}},10577:{dir:g,HW:[[0.818,l]],stretch:{top:[8639,l],ext:[9168,l],bot:[8643,l]}},10586:{dir:m,HW:[[0.926,l]],stretch:{left:[8636,l],rep:[8722,l],right:[8867,i,0,0.1,0.6]}},10587:{dir:m,HW:[[0.926,l]],stretch:{left:[57526,o],rep:[8722,l],right:[8640,l]}},10588:{dir:g,HW:[[0.818,l]],stretch:{bot:[95,l,0.05,-0.01,0.8],ext:[9168,l],top:[8638,l]}},10589:{dir:g,HW:[[0.818,l]],stretch:{top:[8868,i,0.04,0,0.6],ext:[9168,l],bot:[8642,l]}},10590:{dir:m,HW:[[0.926,l]],stretch:{left:[8637,l],rep:[8722,l],right:[8867,i,0,0.1,0.6]}},10591:{dir:m,HW:[[0.926,l]],stretch:{left:[57526,o],rep:[8722,l],right:[8641,l]}},10592:{dir:g,HW:[[0.818,l]],stretch:{bot:[95,l,0.05,-0.01,0.8],ext:[9168,l],top:[8639,l]}},10593:{dir:g,HW:[[0.818,l]],stretch:{top:[8868,i,0.04,0,0.6],ext:[9168,l],bot:[8643,l]}},711:{dir:m,HW:[[0.333,l],[0.56,f],[0.979,d],[1.458,b],[1.886,a],[2.328,p]]},717:{dir:m,HW:[[0.334,l]],stretch:{rep:[717,l]}},759:{dir:m,HW:[[0.558,f],[0.977,d],[1.458,b],[1.886,a],[2.328,p]]},8607:{dir:g,HW:[[0.816,l]],stretch:{ext:[9168,l],top:[8607,l]}},8609:{dir:g,HW:[[0.816,l]],stretch:{ext:[9168,l],bot:[8609,l]}},8616:{dir:g,HW:[[0.816,l]],stretch:{top:[8593,l],ext:[9168,l],bot:[10515,l]}},8617:{dir:m,HW:[[0.926,l]],stretch:{left:[8592,l],rep:[8722,l],right:[57525,o]}},8618:{dir:m,HW:[[0.926,l]],stretch:{left:[57524,o],rep:[8722,l],right:[8594,l]}},8626:{dir:g,HW:[[0.818,l]],stretch:{bot:[8626,l],ext:[9168,l,0.152]}},8627:{dir:g,HW:[[0.818,l]],stretch:{bot:[8627,l],ext:[9168,l,-0.195]}},8628:{dir:m,HW:[[0.926,l]],stretch:{rep:[8722,l,0,0.4],right:[8628,l]}},8629:{dir:g,HW:[[0.818,l]],stretch:{bot:[8629,l],ext:[9168,l,0.57]}},8651:{dir:m,HW:[[0.926,l]],stretch:{left:[10602,l],rep:[61,l],right:[10605,l]}},8652:{dir:m,HW:[[0.926,l]],stretch:{left:[10603,l],rep:[61,l],right:[10604,l]}},8672:{dir:m,HW:[[0.926,l]],stretch:{left:[8672,l],rep:[57633,o,0,0,0,0,0.1],fullExtenders:true}},8673:{dir:g,HW:[[0.818,l]],stretch:{ext:[57645,o],top:[8673,l],fullExtenders:true}},8674:{dir:m,HW:[[0.926,l]],stretch:{right:[8674,k],rep:[57646,o,0,0,0,0,0.1],fullExtenders:true}},8675:{dir:g,HW:[[0.818,l]],stretch:{ext:[57644,o],bot:[8675,l],fullExtenders:true}},8676:{dir:m,HW:[[0.926,l]],stretch:{left:[8676,l],rep:[8722,l]}},8677:{dir:m,HW:[[0.926,l]],stretch:{right:[8677,l],rep:[8722,l]}},8701:{dir:m,HW:[[0.926,l]],stretch:{left:[8701,l],rep:[8722,l]}},8702:{dir:m,HW:[[0.926,l]],stretch:{right:[8702,l],rep:[8722,l]}},8703:{dir:m,HW:[[0.926,l]],stretch:{left:[8701,l],rep:[8722,l],right:[8702,l]}},10214:{dir:g,HW:[[0.93,l],[1.23,f],[1.845,d],[2.46,b],[3.075,a]],stretch:{top:[9555,l],ext:[9553,l],bot:[9561,l]}},10215:{dir:g,HW:[[0.93,l],[1.23,f],[1.845,d],[2.46,b],[3.075,a]],stretch:{top:[9558,l],ext:[9553,l],bot:[9564,l]}},10218:{dir:g,HW:[[0.931,l],[1.23,f],[1.845,d],[2.461,b],[3.075,a]]},10219:{dir:g,HW:[[0.931,l],[1.23,f],[1.845,d],[2.461,b],[3.075,a]]},10506:{dir:g,HW:[[0.818,l]],stretch:{top:[10506,l],ext:[57653,o]}},10507:{dir:g,HW:[[0.818,l]],stretch:{bot:[10507,l],ext:[57653,o]}},10514:{dir:g,HW:[[0.818,l]],stretch:{top:[10514,l],ext:[9168,l]}},10515:{dir:g,HW:[[0.818,l]],stretch:{bot:[10515,l],ext:[9168,l]}},10578:{dir:m,HW:[[0.926,l]],stretch:{left:[10578,l],rep:[8722,l]}},10579:{dir:m,HW:[[0.926,l]],stretch:{right:[10579,l],rep:[8722,l]}},10580:{dir:g,HW:[[0.818,l]],stretch:{top:[10580,l],ext:[9168,l]}},10581:{dir:g,HW:[[0.818,l]],stretch:{bot:[10581,l],ext:[9168,l]}},10582:{dir:m,HW:[[0.926,l]],stretch:{left:[10582,l],rep:[8722,l]}},10583:{dir:m,HW:[[0.926,l]],stretch:{right:[10583,l],rep:[8722,l]}},10584:{dir:g,HW:[[0.818,l]],stretch:{top:[10584,l],ext:[9168,l]}},10585:{dir:g,HW:[[0.818,l]],stretch:{bot:[10585,l],ext:[9168,l]}},10624:{dir:g,HW:[[0.874,l]],stretch:{ext:[10624,l]}},10647:{dir:g,HW:[[0.932,l]],stretch:{top:[57613,o,0.1,0.05],ext:[9168,l,-0.1],bot:[57612,o,0.1]}},10648:{dir:g,HW:[[0.932,l]],stretch:{top:[57612,o,-0.1,0.05],ext:[9168,l],bot:[57613,o,-0.1]}}};for(var c in e){if(e.hasOwnProperty(c)){n[c]=e[c]}}MathJax.Ajax.loadComplete(h.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(h){var q="2.7.9";var n=h.FONTDATA.DELIMITERS;var l="STIXGeneral",i="STIXGeneral-bold",k="STIXVariants",o="STIXNonUnicode",f="STIXSizeOneSym",d="STIXSizeTwoSym",b="STIXSizeThreeSym",a="STIXSizeFourSym",p="STIXSizeFiveSym",j="STIXIntegralsD";var m="H",g="V";var e={61:{dir:m,HW:[[0.685,l]],stretch:{rep:[61,l]}},8606:{dir:m,HW:[[0.926,l]],stretch:{left:[8606,l],rep:[8722,l]}},8608:{dir:m,HW:[[0.926,l]],stretch:{right:[8608,l],rep:[8722,l]}},8612:{dir:m,HW:[[0.926,l]],stretch:{left:[8592,k],rep:[8722,l],right:[8867,i,0,0.1,0.6]}},8613:{dir:g,HW:[[0.816,l]],stretch:{bot:[95,l,0.05,-0.01,0.8],ext:[9168,l],top:[8593,l]}},8614:{dir:m,HW:[[1,l]],stretch:{left:[57526,o],rep:[8722,l],right:[8594,l]}},8615:{dir:g,HW:[[0.816,l]],stretch:{top:[8868,i,0.04,0,0.6],ext:[9168,l],bot:[8595,l]}},8624:{dir:g,HW:[[0.818,l]],stretch:{top:[8624,l],ext:[9168,l,0.152]}},8625:{dir:g,HW:[[0.818,l]],stretch:{top:[8625,l],ext:[9168,l,-0.195]}},8636:{dir:m,HW:[[0.955,l]],stretch:{left:[8636,l],rep:[8722,l]}},8637:{dir:m,HW:[[0.955,l]],stretch:{left:[8637,l],rep:[8722,l]}},8638:{dir:g,HW:[[0.818,l]],stretch:{top:[8638,l],ext:[9168,l]}},8639:{dir:g,HW:[[0.818,l]],stretch:{top:[8639,l],ext:[9168,l]}},8640:{dir:m,HW:[[0.955,l]],stretch:{right:[8640,l],rep:[8722,l]}},8641:{dir:m,HW:[[0.955,l]],stretch:{right:[8641,l],rep:[8722,l]}},8642:{dir:g,HW:[[0.818,l]],stretch:{bot:[8642,l],ext:[9168,l]}},8643:{dir:g,HW:[[0.818,l]],stretch:{bot:[8643,l],ext:[9168,l]}},8666:{dir:m,HW:[[0.926,l]],stretch:{left:[8666,l],rep:[8801,l]}},8667:{dir:m,HW:[[0.926,l]],stretch:{right:[8667,l],rep:[8801,l]}},8747:{dir:g,HW:[[0.607,l],[0.979,j]],stretch:{top:[8992,f],ext:[9134,f],bot:[8993,f]}},9140:{dir:m,HW:[[0.926,l],[1.063,f],[1.606,d],[2.147,b],[2.692,a],[3.237,p]],stretch:{left:[8976,l],rep:[8722,l,0,0.12],right:[172,l]}},9141:{dir:m,HW:[[0.926,l],[1.063,f],[1.606,d],[2.147,b],[2.692,a],[3.237,p]],stretch:{left:[10813,l,0,0.12],rep:[8722,l,0,0,0,0.12],right:[10812,l,0,0.12]}},9180:{dir:m,HW:[[0.926,f],[1,l],[1.46,d],[1.886,b],[2.328,a],[3.237,p]],stretch:{left:[57659,o],right:[57660,o],rep:[57674,o]}},9181:{dir:m,HW:[[0.926,f],[1,l],[1.46,d],[1.886,b],[2.328,a],[3.237,p]],stretch:{left:[57661,o],right:[57662,o],rep:[57675,o]}},9184:{dir:m,HW:[[1,l],[1.46,f],[1.886,d],[2.312,b],[2.738,a],[3.164,p]],stretch:{left:[57613,o,-0.1,-0.1],rep:[8722,l,0,0.05],right:[57612,o,0,-0.1],fullExtenders:true}},9185:{dir:m,HW:[[1,l],[1.46,f],[1.886,d],[2.312,b],[2.738,a],[3.164,p]],stretch:{left:[57612,o,-0.1,0.1],rep:[8722,l,0,-0.1,0,0.1],right:[57613,o,0,0.1],fullExtenders:true}},10502:{dir:m,HW:[[0.926,l]],stretch:{left:[8656,l],rep:[61,l],right:[10980,l,0,-0.09]}},10503:{dir:m,HW:[[0.926,l]],stretch:{left:[8872,l,0,-0.09],rep:[61,l],right:[8658,l]}},10574:{dir:m,HW:[],stretch:{left:[8636,l],rep:[8722,l],right:[8640,l]}},10575:{dir:g,HW:[[0.818,l]],stretch:{top:[8638,l],ext:[9168,l],bot:[8642,l]}},10576:{dir:m,HW:[[0.926,l]],stretch:{left:[8637,l],rep:[8722,l],right:[8641,l]}},10577:{dir:g,HW:[[0.818,l]],stretch:{top:[8639,l],ext:[9168,l],bot:[8643,l]}},10586:{dir:m,HW:[[0.926,l]],stretch:{left:[8636,l],rep:[8722,l],right:[8867,i,0,0.1,0.6]}},10587:{dir:m,HW:[[0.926,l]],stretch:{left:[57526,o],rep:[8722,l],right:[8640,l]}},10588:{dir:g,HW:[[0.818,l]],stretch:{bot:[95,l,0.05,-0.01,0.8],ext:[9168,l],top:[8638,l]}},10589:{dir:g,HW:[[0.818,l]],stretch:{top:[8868,i,0.04,0,0.6],ext:[9168,l],bot:[8642,l]}},10590:{dir:m,HW:[[0.926,l]],stretch:{left:[8637,l],rep:[8722,l],right:[8867,i,0,0.1,0.6]}},10591:{dir:m,HW:[[0.926,l]],stretch:{left:[57526,o],rep:[8722,l],right:[8641,l]}},10592:{dir:g,HW:[[0.818,l]],stretch:{bot:[95,l,0.05,-0.01,0.8],ext:[9168,l],top:[8639,l]}},10593:{dir:g,HW:[[0.818,l]],stretch:{top:[8868,i,0.04,0,0.6],ext:[9168,l],bot:[8643,l]}},711:{dir:m,HW:[[0.333,l],[0.56,f],[0.979,d],[1.458,b],[1.886,a],[2.328,p]]},717:{dir:m,HW:[[0.334,l]],stretch:{rep:[717,l]}},759:{dir:m,HW:[[0.558,f],[0.977,d],[1.458,b],[1.886,a],[2.328,p]]},8607:{dir:g,HW:[[0.816,l]],stretch:{ext:[9168,l],top:[8607,l]}},8609:{dir:g,HW:[[0.816,l]],stretch:{ext:[9168,l],bot:[8609,l]}},8616:{dir:g,HW:[[0.816,l]],stretch:{top:[8593,l],ext:[9168,l],bot:[10515,l]}},8617:{dir:m,HW:[[0.926,l]],stretch:{left:[8592,l],rep:[8722,l],right:[57525,o]}},8618:{dir:m,HW:[[0.926,l]],stretch:{left:[57524,o],rep:[8722,l],right:[8594,l]}},8626:{dir:g,HW:[[0.818,l]],stretch:{bot:[8626,l],ext:[9168,l,0.152]}},8627:{dir:g,HW:[[0.818,l]],stretch:{bot:[8627,l],ext:[9168,l,-0.195]}},8628:{dir:m,HW:[[0.926,l]],stretch:{rep:[8722,l,0,0.4],right:[8628,l]}},8629:{dir:g,HW:[[0.818,l]],stretch:{bot:[8629,l],ext:[9168,l,0.57]}},8651:{dir:m,HW:[[0.926,l]],stretch:{left:[10602,l],rep:[61,l],right:[10605,l]}},8652:{dir:m,HW:[[0.926,l]],stretch:{left:[10603,l],rep:[61,l],right:[10604,l]}},8672:{dir:m,HW:[[0.926,l]],stretch:{left:[8672,l],rep:[57633,o,0,0,0,0,0.1],fullExtenders:true}},8673:{dir:g,HW:[[0.818,l]],stretch:{ext:[57645,o],top:[8673,l],fullExtenders:true}},8674:{dir:m,HW:[[0.926,l]],stretch:{right:[8674,k],rep:[57646,o,0,0,0,0,0.1],fullExtenders:true}},8675:{dir:g,HW:[[0.818,l]],stretch:{ext:[57644,o],bot:[8675,l],fullExtenders:true}},8676:{dir:m,HW:[[0.926,l]],stretch:{left:[8676,l],rep:[8722,l]}},8677:{dir:m,HW:[[0.926,l]],stretch:{right:[8677,l],rep:[8722,l]}},8701:{dir:m,HW:[[0.926,l]],stretch:{left:[8701,l],rep:[8722,l]}},8702:{dir:m,HW:[[0.926,l]],stretch:{right:[8702,l],rep:[8722,l]}},8703:{dir:m,HW:[[0.926,l]],stretch:{left:[8701,l],rep:[8722,l],right:[8702,l]}},10214:{dir:g,HW:[[0.93,l],[1.23,f],[1.845,d],[2.46,b],[3.075,a]],stretch:{top:[9555,l],ext:[9553,l],bot:[9561,l]}},10215:{dir:g,HW:[[0.93,l],[1.23,f],[1.845,d],[2.46,b],[3.075,a]],stretch:{top:[9558,l],ext:[9553,l],bot:[9564,l]}},10218:{dir:g,HW:[[0.931,l],[1.23,f],[1.845,d],[2.461,b],[3.075,a]]},10219:{dir:g,HW:[[0.931,l],[1.23,f],[1.845,d],[2.461,b],[3.075,a]]},10506:{dir:g,HW:[[0.818,l]],stretch:{top:[10506,l],ext:[57653,o]}},10507:{dir:g,HW:[[0.818,l]],stretch:{bot:[10507,l],ext:[57653,o]}},10514:{dir:g,HW:[[0.818,l]],stretch:{top:[10514,l],ext:[9168,l]}},10515:{dir:g,HW:[[0.818,l]],stretch:{bot:[10515,l],ext:[9168,l]}},10578:{dir:m,HW:[[0.926,l]],stretch:{left:[10578,l],rep:[8722,l]}},10579:{dir:m,HW:[[0.926,l]],stretch:{right:[10579,l],rep:[8722,l]}},10580:{dir:g,HW:[[0.818,l]],stretch:{top:[10580,l],ext:[9168,l]}},10581:{dir:g,HW:[[0.818,l]],stretch:{bot:[10581,l],ext:[9168,l]}},10582:{dir:m,HW:[[0.926,l]],stretch:{left:[10582,l],rep:[8722,l]}},10583:{dir:m,HW:[[0.926,l]],stretch:{right:[10583,l],rep:[8722,l]}},10584:{dir:g,HW:[[0.818,l]],stretch:{top:[10584,l],ext:[9168,l]}},10585:{dir:g,HW:[[0.818,l]],stretch:{bot:[10585,l],ext:[9168,l]}},10624:{dir:g,HW:[[0.874,l]],stretch:{ext:[10624,l]}},10647:{dir:g,HW:[[0.932,l]],stretch:{top:[57613,o,0.1,0.05],ext:[9168,l,-0.1],bot:[57612,o,0.1]}},10648:{dir:g,HW:[[0.932,l]],stretch:{top:[57612,o,-0.1,0.05],ext:[9168,l],bot:[57613,o,-0.1]}}};for(var c in e){if(e.hasOwnProperty(c)){n[c]=e[c]}}MathJax.Ajax.loadComplete(h.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/STIX/fontdata.js b/jax/output/HTML-CSS/fonts/STIX/fontdata.js
index 98652e02b5..645d50b3b9 100644
--- a/jax/output/HTML-CSS/fonts/STIX/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/STIX/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/STIX/fontdata.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/STIX/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(j,b,s){var t="2.7.6";j.allowWebFonts=false;var m="STIXGeneral",u="STIXGeneral-bold",q="STIXGeneral-italic",v="STIXGeneral-bold-italic",r="STIXNonUnicode",p="STIXNonUnicode-italic",i="STIXSizeOneSym",h="STIXSizeTwoSym",g="STIXSizeThreeSym",d="STIXSizeFourSym",c="STIXSizeFiveSym";var l="H",a="V",n={load:"extra",dir:l},f={load:"extra",dir:a};var k=[8722,m,0,0,0,-0.26,-0.26];j.Augment({FONTDATA:{version:t,STIXversion:"1.1",TeX_factor:1.125,baselineskip:1.2,lineH:0.8,lineD:0.2,FONTS:{STIXGeneral:"General/Regular/Main.js","STIXGeneral-italic":"General/Italic/Main.js","STIXGeneral-bold":"General/Bold/Main.js","STIXGeneral-bold-italic":"General/BoldItalic/Main.js",STIXNonUnicode:"NonUnicode/Regular/Main.js","STIXNonUnicode-italic":"NonUnicode/Italic/Main.js","STIXNonUnicode-bold":"NonUnicode/Bold/Main.js","STIXNonUnicode-bold-italic":"NonUnicode/BoldItalic/Main.js",STIXVariants:"Variants/Regular/All.js",STIXSizeOneSym:"SizeOneSym/Regular/All.js",STIXSizeTwoSym:"SizeTwoSym/Regular/All.js",STIXSizeThreeSym:"SizeThreeSym/Regular/All.js",STIXSizeFourSym:"SizeFourSym/Regular/All.js",STIXSizeFiveSym:"SizeFiveSym/Regular/All.js",STIXIntegralsD:"IntegralsD/Regular/All.js"},VARIANT:{normal:{fonts:[m,r,i],remap:{8709:[8709,"-STIX-variant"],124:[124,"-STIX-variant"]}},bold:{fonts:[u,"STIXNonUnicode-bold","STIXSizeOneSym-bold"],offsetA:119808,offsetG:120488,bold:true,remap:{8706:120539,8711:120513}},italic:{fonts:[q,p,m,r,i],offsetA:119860,offsetG:120546,italic:true,remap:{119893:8462,8706:120597,8711:120571}},"bold-italic":{fonts:[v,"STIXNonUnicode-bold-italic"],offsetA:119860,offsetG:120604,bold:true,italic:true,remap:{119893:8462,8706:120655,8711:120629}},"double-struck":{offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[u],offsetA:120172,bold:true},script:{fonts:[q],offsetA:119964,italic:true,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[v],offsetA:120016,bold:true,italic:true},"sans-serif":{offsetA:120224,offsetN:120802,offsetP:57725,remap:{8706:57724}},"bold-sans-serif":{offsetA:120276,offsetG:120662,offsetN:120812,bold:true,remap:{8706:120713,8711:120687}},"sans-serif-italic":{fonts:[q,p],offsetA:120328,offsetN:57780,offsetP:57791,italic:true,remap:{8706:57790}},"sans-serif-bold-italic":{fonts:[v,"STIXNonUnicode-bold-italic"],offsetA:120380,offsetN:57846,offsetG:120720,bold:true,italic:true,remap:{8706:120771,8711:120745}},monospace:{offsetA:120432,offsetN:120822,remap:{32:[32,"-STIX-variant"],160:[160,"-STIX-variant"]}},"-STIX-variant":{fonts:["STIXVariants",r,m],remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368,9651:9653,9661:9663,8709:[8709,b.VARIANT.NORMAL],124:[124,b.VARIANT.NORMAL]}},"-tex-caligraphic":{fonts:[q,p,r,i],offsetA:57901,noLowerCase:1},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989}},"-tex-mathit":{fonts:[q,p,m,r,i],italic:true,noIC:true},"-largeOp":{fonts:[i,"STIXIntegralsD",r,m]},"-smallOp":{},"-tex-caligraphic-bold":{fonts:["STIXGeneral-bold-italic","STIXNonUnicode-bold-italic","STIXNonUnicode","STIXGeneral","STIXSizeOneSym"],bold:true,offsetA:57927,noLowerCase:1},"-tex-oldstyle-bold":{fonts:["STIXGeneral-bold","STIXNonUnicode-bold","STIXGeneral","STIXSizeOneSym"],bold:true,offsetN:57955,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991}}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:937,offset:"G"},{name:"vargreek",low:977,high:1014,offset:"G",remapOnly:true,remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}},{name:"PUAgreek",low:945,high:969,offset:"P",add:25},{name:"PUAGreek",low:913,high:937,offset:"P"},{name:"varPUAgreek",low:977,high:1014,offset:"P",remapOnly:true,remap:{1013:50,977:51,981:52,1009:53,982:54,1012:17}}],RULECHAR:8254,REMAP:{10:32,755:730,756:714,65079:9182,65080:9183,12296:10216,12297:10217,10072:8739},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u2190":"\u20D6","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:a,HW:[[0.844,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9115,i],ext:[9116,i],bot:[9117,i]}},41:{dir:a,HW:[[0.844,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9118,i],ext:[9119,i],bot:[9120,i]}},47:{dir:a,HW:[[0.69,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},91:{dir:a,HW:[[0.818,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9121,i],ext:[9122,i],bot:[9123,i]}},92:{dir:a,HW:[[0.69,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},93:{dir:a,HW:[[0.818,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9124,i],ext:[9125,i],bot:[9126,i]}},123:{dir:a,HW:[[0.861,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9127,i],mid:[9128,i],bot:[9129,i],ext:[9130,i]}},124:{dir:a,HW:[[0.69,m]],stretch:{ext:[8739,m]}},125:{dir:a,HW:[[0.861,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9131,i],mid:[9132,i],bot:[9133,i],ext:[9130,i]}},710:{dir:l,HW:[[0.333,m],[0.56,i],[0.979,h],[1.46,g],[1.886,d],[2.328,c]]},711:{dir:l,HW:[[0.333,m],[0.56,i],[0.979,h],[1.46,g],[1.886,d],[2.328,c]]},732:{dir:l,HW:[[0.333,m],[0.558,i],[0.978,h],[1.458,g],[1.886,d],[2.328,c]]},8214:{dir:a,HW:[[0.879,m]],stretch:{ext:[8214,m]}},8254:{dir:l,HW:[[0.5,m]],stretch:{rep:[8254,m]}},8592:{dir:l,HW:[[0.926,m]],stretch:{left:[8592,m],rep:k}},8593:{dir:a,HW:[[0.818,m]],stretch:{top:[8593,m],ext:[9168,m]}},8594:{dir:l,HW:[[0.926,m]],stretch:{rep:k,right:[8594,m]}},8595:{dir:a,HW:[[0.818,m]],stretch:{ext:[9168,m],bot:[8595,m]}},8596:{dir:l,HW:[[0.926,m]],stretch:{left:[8592,m],rep:k,right:[8594,m]}},8597:{dir:a,HW:[[0.818,m]],stretch:{top:[8593,m],ext:[9168,m],bot:[8595,m]}},8656:{dir:l,HW:[[0.926,m]],stretch:{left:[8656,m],rep:[61,m]}},8657:{dir:a,HW:[[0.818,m]],stretch:{top:[8657,m],ext:[8741,m,0.082]}},8658:{dir:l,HW:[[0.926,m]],stretch:{rep:[61,m],right:[8658,m]}},8659:{dir:a,HW:[[0.818,m]],stretch:{ext:[8741,m,0.082],bot:[8659,m]}},8660:{dir:l,HW:[[0.926,m]],stretch:{left:[8656,m],rep:[61,m],right:[8658,m]}},8661:{dir:a,HW:[[0.818,m]],stretch:{top:[8657,m],ext:[8741,m,0.082],bot:[8659,m]}},8730:{dir:a,HW:[[0.954,"STIXVariants"],[1.232,m],[1.847,i],[2.46,h],[3.075,g]],stretch:{top:[57345,r],ext:[57344,r],bot:[9143,i],fullExtenders:true}},8739:{dir:a,HW:[[0.879,m]],stretch:{ext:[8739,m]}},8741:{dir:a,HW:[[0.879,m]],stretch:{ext:[8741,m]}},8968:{dir:a,HW:[[0.926,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9121,i],ext:[9122,i]}},8969:{dir:a,HW:[[0.926,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9124,i],ext:[9125,i]}},8970:{dir:a,HW:[[0.926,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{ext:[9122,i],bot:[9123,i]}},8971:{dir:a,HW:[[0.926,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{ext:[9125,i],bot:[9126,i]}},9130:{dir:a,HW:[[1.01,i]],stretch:{top:[9130,i],ext:[9130,i],bot:[9130,i]}},9135:{dir:l,HW:[[0.315,m]],stretch:{rep:[9135,m]}},9136:{dir:a,HW:[[1,i]],stretch:{top:[9127,i],ext:[9130,i],bot:[9133,i]}},9137:{dir:a,HW:[[1,i]],stretch:{top:[9131,i],ext:[9130,i],bot:[9129,i]}},9168:{dir:a,HW:[[0.304,m],[0.69,m,null,124],[0.879,m,null,8739]],stretch:{ext:[8739,m]}},9182:{dir:l,HW:[[0.926,i],[1,m],[1.46,h],[1.886,g],[2.328,d],[3.238,c]],stretch:{left:[57659,r],mid:[57664,r],right:[57660,r],rep:[57674,r]}},9183:{dir:l,HW:[[0.926,i],[1,m],[1.46,h],[1.886,g],[2.328,d],[3.238,c]],stretch:{left:[57661,r],mid:[57665,r],right:[57662,r],rep:[57675,r]}},10216:{dir:a,HW:[[0.926,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},10217:{dir:a,HW:[[0.926,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},10222:{dir:a,HW:[[0.853,m]],stretch:{top:[9127,i],ext:[9130,i],bot:[9129,i]}},10223:{dir:a,HW:[[0.853,m]],stretch:{top:[9131,i],ext:[9130,i],bot:[9133,i]}},45:{alias:9135,dir:l},94:{alias:710,dir:l},95:{alias:9135,dir:l},126:{alias:732,dir:l},175:{alias:9135,dir:l},713:{alias:9135,dir:l},770:{alias:710,dir:l},771:{alias:732,dir:l},780:{alias:711,dir:l},818:{alias:9135,dir:l},8213:{alias:9135,dir:l},8215:{alias:9135,dir:l},8407:{alias:8594,dir:l},8722:{alias:9135,dir:l},8725:{alias:47,dir:a},9001:{alias:10216,dir:a},9002:{alias:10217,dir:a},9472:{alias:8722,dir:l},10072:{alias:8739,dir:a},12296:{alias:10216,dir:a},12297:{alias:10217,dir:a},65079:{alias:9182,dir:l},65080:{alias:9183,dir:l},61:n,8606:n,8608:n,8612:n,8613:f,8614:n,8615:f,8624:f,8625:f,8636:n,8637:n,8638:f,8639:f,8640:n,8641:n,8642:f,8643:f,8666:n,8667:n,8747:f,9140:n,9141:n,9180:n,9181:n,9184:n,9185:n,10502:n,10503:n,10574:n,10575:f,10576:n,10577:f,10586:n,10587:n,10588:f,10589:f,10590:n,10591:n,10592:f,10593:f,8978:{alias:9180,dir:l},8994:{alias:9180,dir:l},8995:{alias:9181,dir:l},10229:{alias:8592,dir:l},10230:{alias:8594,dir:l},10231:{alias:8596,dir:l},10232:{alias:8656,dir:l},10233:{alias:8658,dir:l},10234:{alias:8660,dir:l},10235:{alias:8612,dir:l},10236:{alias:8614,dir:l},10237:{alias:10502,dir:l},10238:{alias:10503,dir:l},711:n,717:n,759:n,8607:f,8609:f,8616:f,8617:n,8618:n,8626:f,8627:f,8628:n,8629:f,8651:n,8652:n,8672:n,8673:f,8674:n,8675:f,8676:n,8677:n,8701:n,8702:n,8703:n,10214:f,10215:f,10218:f,10219:f,10506:f,10507:f,10514:f,10515:f,10578:n,10579:n,10580:f,10581:f,10582:n,10583:n,10584:f,10585:f,10624:f,10647:f,10648:f}}});j.FONTDATA.FONTS.STIXGeneral={directory:"General/Regular",family:"STIXGeneral",Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[592,687,"IPAExtensions"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[1024,1279,"Cyrillic"],[7424,7615,"PhoneticExtensions"],[7680,7935,"LatinExtendedAdditional"],[8192,8303,"GeneralPunctuation"],[8304,8351,"SuperAndSubscripts"],[8352,8399,"CurrencySymbols"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8528,8591,"NumberForms"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9216,9279,"ControlPictures"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[9600,9631,"BlockElements"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[9984,10175,"Dingbats"],[10176,10223,"MiscMathSymbolsA"],[10224,10239,"SupplementalArrowsA"],[10496,10623,"SupplementalArrowsB"],[10624,10751,"MiscMathSymbolsB"],[10752,11007,"SuppMathOperators"],[11008,11263,"MiscSymbolsAndArrows"],[12288,12351,"CJK"],[12352,12447,"Hiragana"],[42784,43007,"LatinExtendedD"],[64256,64335,"AlphaPresentForms"],[65520,65535,"Specials"],[119808,119859,"MathBold"],[119860,119911,"MathItalic"],[119912,119963,"MathBoldItalic"],[119964,120015,"MathScript"],[120016,120067,"MathBoldScript"],[120068,120119,"Fraktur"],[120120,120171,"BBBold"],[120172,120223,"BoldFraktur"],[120224,120275,"MathSS"],[120276,120327,"MathSSBold"],[120328,120379,"MathSSItalic"],[120380,120431,"MathSSItalicBold"],[120432,120483,"MathTT"],[120484,120485,"ij"],[120488,120545,"GreekBold"],[120546,120603,"GreekItalic"],[120604,120661,"GreekBoldItalic"],[120662,120719,"GreekSSBold"],[120720,120777,"GreekSSBoldItalic"],[120782,120791,"MathBold"],[120792,120801,"BBBold"],[120802,120811,"MathSS"],[120812,120822,"MathSSBold"],[120822,120831,"MathTT"]],32:[0,0,250,0,0],33:[676,9,333,130,236],34:[676,-431,408,77,331],35:[662,0,500,6,495],36:[727,87,500,44,458],37:[706,19,747,61,686],38:[676,13,778,42,750],39:[676,-431,180,48,133],40:[676,177,333,48,304],41:[676,177,333,29,285],42:[676,-265,500,68,433],43:[547,41,685,48,636],44:[102,141,250,55,195],45:[257,-194,333,39,285],46:[100,11,250,70,181],47:[676,14,278,-9,287],48:[676,14,500,24,476],49:[676,0,500,111,394],50:[676,0,500,29,474],51:[676,14,500,41,431],52:[676,0,500,12,473],53:[688,14,500,31,438],54:[684,14,500,34,468],55:[662,8,500,20,449],56:[676,14,500,56,445],57:[676,22,500,30,459],58:[459,11,278,81,192],59:[459,141,278,80,219],60:[534,24,685,56,621],61:[386,-120,685,48,637],62:[534,24,685,56,621],63:[676,8,444,68,414],64:[676,14,921,116,809],65:[674,0,722,15,707],66:[662,0,667,17,593],67:[676,14,667,28,633],68:[662,0,722,16,685],69:[662,0,611,12,597],70:[662,0,556,11,546],71:[676,14,722,32,709],72:[662,0,722,18,703],73:[662,0,333,18,315],74:[662,14,373,-6,354],75:[662,0,722,33,723],76:[662,0,611,12,598],77:[662,0,889,12,864],78:[662,11,722,12,707],79:[676,14,722,34,688],80:[662,0,557,16,542],81:[676,177,722,34,701],82:[662,0,667,17,660],83:[676,14,556,43,491],84:[662,0,611,17,593],85:[662,14,722,14,705],86:[662,11,722,16,697],87:[662,11,944,5,932],88:[662,0,722,10,704],89:[662,0,722,22,703],90:[662,0,612,10,598],91:[662,156,333,88,299],92:[676,14,278,-9,287],93:[662,156,333,34,245],94:[662,-297,469,24,446],95:[-75,125,500,0,500],96:[678,-507,333,18,242],97:[460,10,444,37,442],98:[683,10,500,3,468],99:[460,10,444,25,412],100:[683,10,500,27,491],101:[460,10,444,25,424],102:[683,0,333,20,383],103:[460,218,500,28,470],104:[683,0,500,9,487],105:[683,0,278,16,253],106:[683,218,278,-70,194],107:[683,0,500,7,505],108:[683,0,278,19,257],109:[460,0,778,16,775],110:[460,0,500,16,485],111:[460,10,500,29,470],112:[460,217,500,5,470],113:[460,217,500,24,488],114:[460,0,333,5,335],115:[459,10,389,51,348],116:[579,10,278,13,279],117:[450,10,500,9,480],118:[450,14,500,19,477],119:[450,14,722,21,694],120:[450,0,500,17,479],121:[450,218,500,14,475],122:[450,0,444,27,418],123:[680,181,480,100,350],124:[676,14,200,67,133],125:[680,181,480,130,380],126:[325,-183,541,40,502],160:[0,0,250,0,0],168:[622,-523,333,18,316],172:[393,-115,600,48,552],175:[601,-547,333,11,322],177:[502,87,685,48,637],183:[310,-199,250,70,181],215:[529,25,640,43,597],247:[516,10,564,30,534],305:[460,0,278,16,253],567:[460,218,278,-70,193],710:[674,-507,333,11,322],711:[674,-507,333,11,322],713:[601,-547,334,11,322],714:[679,-509,333,93,320],715:[679,-509,333,22,249],728:[664,-507,335,27,308],729:[622,-523,333,118,217],732:[638,-532,333,1,331],768:[678,-507,0,-371,-147],769:[678,-507,0,-371,-147],770:[674,-507,0,-386,-75],771:[638,-532,0,-395,-65],772:[601,-547,0,-385,-74],774:[664,-507,0,-373,-92],775:[622,-523,0,-280,-181],776:[622,-523,0,-379,-81],778:[711,-512,0,-329,-130],779:[678,-507,0,-401,-22],780:[674,-507,0,-385,-74],824:[662,156,0,-380,31],915:[662,0,587,11,577],916:[674,0,722,48,675],920:[676,14,722,34,688],923:[674,0,702,15,687],926:[662,0,643,29,614],928:[662,0,722,18,703],931:[662,0,624,30,600],933:[674,0,722,29,703],934:[662,0,763,35,728],936:[690,0,746,22,724],937:[676,0,744,29,715],8224:[676,149,500,59,442],8225:[676,153,500,58,442],8230:[100,11,1000,111,888],8242:[678,-402,289,75,214],8254:[820,-770,500,0,500],8407:[760,-548,0,-453,-17],8465:[695,34,762,45,711],8472:[547,217,826,52,799],8476:[704,22,874,50,829],8501:[677,13,682,43,634],8592:[449,-58,926,71,857],8593:[662,156,511,60,451],8594:[448,-57,926,70,856],8595:[662,156,511,60,451],8596:[449,-57,926,38,888],8597:[730,224,511,60,451],8598:[662,156,926,70,856],8599:[662,156,926,70,856],8600:[662,156,926,70,856],8601:[662,156,926,70,856],8614:[450,-57,926,70,857],8617:[553,-57,926,70,856],8618:[553,-57,926,70,856],8636:[494,-220,955,54,901],8637:[286,-12,955,54,901],8640:[494,-220,955,54,901],8641:[286,-12,955,54,901],8652:[539,33,926,70,856],8656:[551,45,926,60,866],8657:[662,156,685,45,641],8658:[551,45,926,60,866],8659:[662,156,685,45,641],8660:[517,10,926,20,906],8661:[730,224,685,45,641],8704:[662,0,560,2,558],8706:[668,11,471,40,471],8707:[662,0,560,73,487],8709:[583,79,762,50,712],8711:[662,12,731,63,667],8712:[531,27,685,60,625],8713:[662,157,685,60,625],8715:[531,27,685,60,625],8719:[763,259,1000,52,948],8720:[763,259,1000,52,948],8721:[763,259,914,58,856],8722:[286,-220,685,64,621],8723:[502,87,685,48,637],8725:[710,222,523,46,478],8726:[411,-93,428,25,403],8727:[471,-33,523,67,457],8728:[387,-117,350,40,310],8729:[387,-117,350,40,310],8730:[973,259,928,112,963],8733:[430,0,685,41,643],8734:[430,0,926,70,854],8736:[547,0,685,23,643],8739:[690,189,266,100,166],8741:[690,189,523,129,394],8743:[536,29,620,31,589],8744:[536,29,620,31,589],8745:[536,31,620,48,572],8746:[536,31,620,48,572],8747:[824,320,459,32,639],8764:[362,-148,685,48,637],8768:[547,42,286,35,249],8771:[445,-55,685,48,637],8773:[532,27,685,48,637],8776:[475,-25,685,48,637],8781:[498,-8,685,48,637],8784:[611,-120,685,48,637],8800:[662,156,685,48,637],8801:[478,-28,685,48,637],8804:[609,103,685,64,629],8805:[609,103,685,64,629],8810:[532,26,933,25,908],8811:[532,26,933,25,908],8826:[532,26,685,64,621],8827:[532,26,685,64,621],8828:[628,120,685,64,621],8829:[629,119,685,64,621],8834:[531,25,685,64,621],8835:[531,25,685,64,621],8838:[607,103,685,64,621],8839:[607,103,685,64,621],8846:[536,31,620,48,572],8849:[607,103,685,64,621],8850:[607,103,685,64,621],8851:[536,31,620,48,572],8852:[536,31,620,48,572],8853:[623,119,842,50,792],8854:[623,119,842,50,792],8855:[623,119,842,50,792],8856:[623,119,842,50,792],8857:[583,79,762,50,712],8866:[662,0,685,64,621],8867:[662,0,685,64,621],8868:[662,0,685,48,637],8869:[662,0,685,48,637],8872:[662,0,685,64,621],8896:[763,259,924,54,870],8897:[763,259,924,54,870],8898:[778,254,924,94,830],8899:[768,264,924,94,830],8900:[488,-16,523,26,497],8901:[313,-193,286,83,203],8902:[597,13,700,35,665],8904:[582,80,810,54,756],8942:[606,104,511,192,319],8943:[316,-189,926,108,818],8945:[520,18,926,194,732],8968:[713,213,469,188,447],8969:[713,213,469,27,286],8970:[713,213,469,188,447],8971:[713,213,469,27,286],8994:[360,-147,1019,54,965],8995:[360,-147,1019,54,965],9135:[286,-220,315,0,315],9168:[405,-101,511,222,288],9651:[811,127,1145,35,1110],9657:[555,50,660,80,605],9661:[811,127,1145,35,1110],9667:[554,51,660,55,580],9711:[785,282,1207,70,1137],9824:[609,99,685,34,651],9825:[603,105,685,34,651],9826:[609,105,685,41,643],9827:[603,99,685,34,651],9837:[768,10,426,57,346],9838:[768,181,426,75,350],9839:[768,181,426,41,386],10216:[713,213,400,77,335],10217:[713,213,400,65,323],10222:[676,177,233,56,211],10223:[676,177,233,22,177],10229:[449,-58,1574,55,1519],10230:[449,-57,1574,55,1519],10231:[449,-57,1574,55,1519],10232:[551,45,1574,55,1519],10233:[551,45,1574,55,1519],10234:[517,10,1574,55,1519],10235:[450,-57,1574,55,1519],10236:[450,-57,1574,55,1519],10741:[710,222,523,46,478],10752:[763,259,1126,53,1073],10753:[763,259,1126,53,1073],10754:[763,259,1126,53,1073],10755:[768,264,924,94,830],10756:[768,264,924,94,830],10757:[763,259,924,94,830],10758:[763,259,924,94,830],10815:[662,0,694,30,664],10927:[609,103,685,64,621],10928:[609,103,685,64,621]};j.FONTDATA.FONTS["STIXGeneral-bold"]={directory:"General/Bold",family:"STIXGeneral",weight:"bold",Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[592,687,"IPAExtensions"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[1024,1279,"Cyrillic"],[7424,7615,"PhoneticExtensions"],[7680,7935,"LatinExtendedAdditional"],[8192,8303,"GeneralPunctuation"],[8304,8351,"SuperAndSubscripts"],[8352,8399,"CurrencySymbols"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8528,8591,"NumberForms"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9216,9279,"ControlPictures"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10176,10223,"MiscMathSymbolsA"],[10624,10751,"MiscMathSymbolsB"],[10752,11007,"SuppMathOperators"],[42784,43007,"LatinExtendedD"],[64256,64335,"AlphaPresentForms"],[119808,119859,"MathBold"],[120120,120171,"BBBold"],[120172,120223,"BoldFraktur"],[120276,120327,"MathSSBold"],[120488,120545,"GreekBold"],[120662,120719,"GreekSSBold"],[120782,120791,"MathBold"],[120812,120822,"MathSSBold"]],32:[0,0,250,0,0],33:[691,13,333,81,251],34:[691,-404,555,83,472],35:[700,0,500,5,495],36:[750,99,500,29,472],37:[706,29,749,61,688],38:[691,16,833,62,789],39:[691,-404,278,75,204],40:[694,168,333,46,306],41:[694,168,333,27,287],42:[691,-255,500,56,448],43:[563,57,750,65,685],44:[155,180,250,39,223],45:[287,-171,333,44,287],46:[156,13,250,41,210],47:[691,19,278,-24,302],48:[688,13,500,24,476],49:[688,0,500,65,441],50:[688,0,500,17,478],51:[688,14,500,16,468],52:[688,0,500,19,476],53:[676,8,500,22,470],54:[688,13,500,28,475],55:[676,0,500,17,477],56:[688,13,500,28,472],57:[688,13,500,26,473],58:[472,13,333,82,251],59:[472,180,333,82,266],60:[534,24,750,80,670],61:[399,-107,750,68,682],62:[534,24,750,80,670],63:[689,13,500,57,445],64:[691,19,930,108,822],65:[690,0,722,9,689],66:[676,0,667,16,619],67:[691,19,722,49,687],68:[676,0,722,14,690],69:[676,0,667,16,641],70:[676,0,611,16,583],71:[691,19,778,37,755],72:[676,0,778,21,759],73:[676,0,389,20,370],74:[676,96,500,3,478],75:[676,0,778,30,769],76:[677,0,667,19,638],77:[676,0,944,14,921],78:[676,18,722,16,701],79:[691,19,778,35,743],80:[676,0,611,16,600],81:[691,176,778,35,743],82:[676,0,722,26,716],83:[692,19,556,35,513],84:[676,0,667,31,636],85:[676,19,722,16,701],86:[676,18,722,16,701],87:[676,15,1000,19,981],88:[676,0,722,16,699],89:[676,0,722,15,699],90:[676,0,667,28,634],91:[678,149,333,67,301],92:[691,19,278,-25,303],93:[678,149,333,32,266],94:[676,-311,581,73,509],95:[-75,125,500,0,500],96:[713,-528,333,8,246],97:[473,14,500,25,488],98:[676,14,556,17,521],99:[473,14,444,25,430],100:[676,14,556,25,534],101:[473,14,444,25,427],102:[691,0,333,14,389],103:[473,206,500,28,483],104:[676,0,556,15,534],105:[691,0,278,15,256],106:[691,203,333,-57,263],107:[676,0,556,22,543],108:[676,0,278,15,256],109:[473,0,833,15,814],110:[473,0,556,21,539],111:[473,14,500,25,476],112:[473,205,556,19,524],113:[473,205,556,34,536],114:[473,0,444,28,434],115:[473,14,389,25,361],116:[630,12,333,19,332],117:[461,14,556,16,538],118:[461,14,500,21,485],119:[461,14,722,23,707],120:[461,0,500,12,484],121:[461,205,500,16,482],122:[461,0,444,21,420],123:[698,175,394,22,340],124:[691,19,220,66,154],125:[698,175,394,54,372],126:[333,-173,520,29,491],915:[676,0,620,16,593],916:[690,0,722,33,673],920:[692,18,778,35,743],923:[690,0,707,9,674],926:[676,0,647,40,607],928:[676,0,778,21,759],931:[676,0,671,28,641],933:[692,0,703,7,693],934:[676,0,836,18,818],936:[692,0,808,15,797],937:[692,0,768,28,740]};j.FONTDATA.FONTS["STIXGeneral-italic"]={directory:"General/Italic",family:"STIXGeneral",style:"italic",Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[592,687,"IPAExtensions"],[688,767,"SpacingModLetters"],[880,1023,"GreekAndCoptic"],[1024,1279,"Cyrillic"],[7680,7935,"LatinExtendedAdditional"],[8192,8303,"GeneralPunctuation"],[8352,8399,"CurrencySymbols"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8704,8959,"MathOperators"],[9216,9279,"ControlPictures"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[64256,64335,"AlphaPresentForms"],[119860,119911,"MathItalic"],[119964,120015,"MathScript"],[120328,120379,"MathSSItalic"],[120484,120485,"ij"],[120546,120603,"GreekItalic"]],32:[0,0,250,0,0],33:[667,11,333,39,304],34:[666,-421,420,144,432],35:[676,0,501,2,540],36:[731,89,500,32,497],37:[706,19,755,80,705],38:[666,18,778,76,723],39:[666,-421,214,132,241],40:[669,181,333,42,315],41:[669,180,333,16,289],42:[666,-255,500,128,492],43:[506,0,675,86,590],44:[101,129,250,-5,135],45:[255,-192,333,49,282],46:[100,11,250,27,138],47:[666,18,278,-65,386],48:[676,7,500,32,497],49:[676,0,500,50,409],50:[676,0,500,12,452],51:[676,7,500,16,465],52:[676,0,500,1,479],53:[666,7,500,15,491],54:[686,7,500,30,521],55:[666,8,500,75,537],56:[676,7,500,30,493],57:[676,17,500,23,492],58:[441,11,333,50,261],59:[441,129,333,26,261],60:[516,10,675,84,592],61:[386,-120,675,86,590],62:[516,10,675,84,592],63:[664,12,500,132,472],64:[666,18,920,118,806],65:[668,0,611,-51,564],66:[653,0,611,-8,588],67:[666,18,667,66,689],68:[653,0,722,-8,700],69:[653,0,611,-1,634],70:[653,0,611,8,645],71:[666,18,722,52,722],72:[653,0,722,-8,769],73:[653,0,333,-8,384],74:[653,18,444,-6,491],75:[653,0,667,7,722],76:[653,0,556,-8,559],77:[653,0,833,-18,872],78:[653,15,667,-20,727],79:[667,18,722,60,699],80:[653,0,611,0,605],81:[666,182,722,59,699],82:[653,0,611,-13,588],83:[667,18,500,17,508],84:[653,0,556,59,633],85:[653,18,722,102,765],86:[653,18,611,76,688],87:[653,18,833,71,906],88:[653,0,611,-29,655],89:[653,0,556,78,633],90:[653,0,556,-6,606],91:[663,153,389,21,391],92:[666,18,278,-41,319],93:[663,153,389,12,382],94:[666,-301,422,0,422],95:[-75,125,500,0,500],96:[664,-492,333,120,311],97:[441,11,501,17,476],98:[683,11,500,23,473],99:[441,11,444,30,425],100:[683,13,500,15,527],101:[441,11,444,31,412],102:[678,207,278,-147,424],103:[441,206,500,8,471],104:[683,9,500,19,478],105:[654,11,278,49,264],106:[652,207,278,-124,279],107:[683,11,444,14,461],108:[683,11,278,41,279],109:[441,9,722,12,704],110:[441,9,500,14,474],111:[441,11,500,27,468],112:[441,205,504,-75,472],113:[441,209,500,25,484],114:[441,0,389,45,412],115:[442,13,389,16,366],116:[546,11,278,38,296],117:[441,11,500,42,475],118:[441,18,444,20,426],119:[441,18,667,15,648],120:[441,11,444,-27,447],121:[441,206,444,-24,426],122:[428,81,389,-2,380],123:[687,177,400,51,407],124:[666,18,275,105,171],125:[687,177,400,-7,349],126:[323,-183,541,40,502],305:[441,11,278,47,235],567:[441,207,278,-124,246],915:[653,0,611,8,645],916:[668,0,611,-32,526],920:[667,18,722,60,699],923:[668,0,611,-51,564],926:[653,0,651,-6,680],928:[653,0,722,-8,769],931:[653,0,620,-6,659],933:[668,0,556,78,648],934:[653,0,741,50,731],936:[667,0,675,77,778],937:[666,0,762,-6,739],945:[441,11,552,27,549],946:[678,205,506,-40,514],947:[435,206,410,19,438],948:[668,11,460,24,460],949:[441,11,444,30,425],950:[683,185,454,30,475],951:[441,205,474,14,442],952:[678,11,480,27,494],953:[441,11,278,49,235],954:[441,13,444,14,465],955:[678,16,458,-12,431],956:[428,205,526,-33,483],957:[441,18,470,20,459],958:[683,185,454,30,446],959:[441,11,500,27,468],960:[428,18,504,19,536],961:[441,205,504,-40,471],962:[441,185,454,30,453],963:[428,11,498,27,531],964:[428,11,410,12,426],965:[441,10,478,19,446],966:[441,205,622,27,590],967:[441,207,457,-108,498],968:[441,205,584,15,668],969:[439,11,686,27,654],977:[678,10,556,19,526],981:[683,205,627,27,595],982:[428,11,792,17,832],1009:[441,205,516,27,484],1013:[441,11,444,30,420],8467:[687,11,579,48,571]};j.FONTDATA.FONTS.STIXIntegralsD={directory:"IntegralsD/Regular",family:"STIXIntegralsD",Ranges:[[32,32,"All"],[160,160,"All"],[8747,8755,"All"],[10763,10780,"All"]],8747:[2000,269,585,56,1035],8750:[2000,269,635,56,1035]};j.FONTDATA.FONTS.STIXNonUnicode={directory:"NonUnicode/Regular",family:"STIXNonUnicode",Ranges:[[32,32,"All"],[160,160,"All"],[57344,63743,"PrivateUse"]],57344:[610,25,1184,829,895],57345:[667,-41,1184,829,1211],57656:[634,-584,480,-10,490],57657:[-127,177,480,-10,490],57659:[955,-512,897,-25,908],57660:[955,-512,897,-11,922],57661:[182,261,897,-25,908],57662:[182,261,897,-11,922],57664:[1218,-820,1844,-10,1854],57665:[-126,524,1844,-10,1854],57674:[955,-820,633,-1,634],57675:[-126,261,633,-1,634],57953:[422,10,523,41,481],57957:[421,0,523,127,405],57961:[421,0,523,68,455],57965:[424,198,523,47,463],57969:[420,198,523,58,480],57973:[421,198,523,66,457],57977:[612,8,523,37,486],57981:[421,198,523,25,490],57985:[606,12,523,47,477],57989:[421,200,523,41,483],57999:[135,0,325,-1,326],58000:[135,0,633,-1,634]};j.FONTDATA.FONTS["STIXNonUnicode-bold"]={directory:"NonUnicode/Bold",family:"STIXNonUnicode",weight:"bold",Ranges:[[32,32,"All"],[160,160,"All"],[57344,63743,"PrivateUse"]]};j.FONTDATA.FONTS["STIXNonUnicode-italic"]={directory:"NonUnicode/Italic",family:"STIXNonUnicode",style:"italic",Ranges:[[32,32,"All"],[160,160,"All"],[57344,63743,"PrivateUse"]],57901:[677,45,852,43,812],57902:[670,3,724,35,709],57903:[671,11,569,43,586],57904:[662,0,801,34,788],57905:[670,4,553,40,599],57906:[662,0,652,43,710],57907:[671,131,580,40,580],57908:[664,21,831,41,845],57909:[662,0,575,38,591],57910:[662,120,632,31,785],57911:[670,13,809,30,783],57912:[670,7,693,30,653],57913:[671,45,1166,40,1128],57914:[795,37,957,40,1064],57915:[669,10,737,38,729],57916:[662,0,667,38,709],57917:[671,131,744,43,704],57918:[662,3,854,38,816],57919:[671,0,634,38,671],57920:[721,0,509,41,730],57921:[672,13,817,37,950],57922:[677,33,638,33,680],57923:[685,32,956,33,998],57924:[672,13,692,38,739],57925:[675,131,719,34,763],57926:[664,94,752,38,714]};j.FONTDATA.FONTS.STIXSizeOneSym={directory:"SizeOneSym/Regular",family:"STIXSizeOneSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8512,8512,"All"],[8730,8732,"All"],[8992,8993,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"],[10744,10745,"All"],[10752,10762,"All"],[11004,11007,"All"]],32:[0,0,250,0,0],40:[1066,164,468,139,382],41:[1066,164,468,86,329],47:[1066,164,579,25,552],91:[1066,164,383,180,363],92:[1066,164,579,27,552],93:[1066,164,383,20,203],95:[-127,177,1000,0,1000],123:[1066,164,575,114,466],125:[1066,164,575,109,461],160:[0,0,250,0,0],770:[767,-554,0,-720,-160],771:[750,-598,0,-722,-162],8719:[1500,-49,1355,50,1305],8720:[1500,-49,1355,50,1305],8721:[1499,-49,1292,90,1202],8730:[1552,295,1057,112,1089],8896:[1500,-49,1265,60,1205],8897:[1500,-49,1265,60,1205],8898:[1510,-49,1265,118,1147],8899:[1500,-39,1265,118,1147],8968:[1066,164,453,180,426],8969:[1066,164,453,25,273],8970:[1066,164,453,180,428],8971:[1066,164,453,27,273],9115:[700,305,450,50,400],9116:[705,305,450,50,174],9117:[705,300,450,50,400],9118:[700,305,450,50,400],9119:[705,305,450,276,400],9120:[705,300,450,50,400],9121:[682,323,450,50,415],9122:[687,323,450,50,150],9123:[687,318,450,50,415],9124:[682,323,450,35,400],9125:[687,323,450,300,400],9126:[687,318,450,35,400],9127:[700,305,640,260,600],9128:[705,305,640,40,380],9129:[705,300,640,260,600],9130:[705,305,640,260,380],9131:[700,305,640,40,380],9132:[705,305,640,260,600],9133:[705,300,640,40,380],9134:[610,25,688,294,394],9136:[700,301,600,35,566],9137:[700,301,600,35,566],9143:[1510,345,1184,112,895],9144:[1566,289,721,0,66],9145:[1566,289,721,655,721],9182:[136,89,926,0,925],9183:[789,-564,926,0,925],10216:[1066,164,578,116,462],10217:[1066,164,578,116,462],10752:[1500,-49,1555,52,1503],10753:[1500,-49,1555,52,1503],10754:[1500,-49,1555,52,1503],10756:[1500,-39,1265,118,1147],10757:[1500,-49,1153,82,1071],10758:[1500,-49,1153,82,1071]};j.FONTDATA.FONTS.STIXSizeTwoSym={directory:"SizeTwoSym/Regular",family:"STIXSizeTwoSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8730,8732,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"],[11004,11007,"All"]],32:[0,0,250,0,0],40:[1566,279,589,139,503],41:[1566,279,608,114,478],47:[1566,279,806,25,781],91:[1566,279,459,190,422],92:[1566,279,806,25,781],93:[1566,279,459,37,269],95:[-127,177,1500,0,1500],123:[1566,279,717,124,531],125:[1566,279,717,186,593],160:[0,0,250,0,0],770:[777,-564,0,-1150,-171],771:[760,-608,0,-1152,-173],8730:[2056,404,1124,110,1157],8968:[1566,279,524,190,479],8969:[1566,279,526,47,336],8970:[1566,279,524,190,479],8971:[1566,279,526,47,336],9182:[143,81,1460,0,1460],9183:[797,-573,1460,0,1460],10216:[1566,279,622,95,531],10217:[1566,279,622,91,527]};j.FONTDATA.FONTS.STIXSizeThreeSym={directory:"SizeThreeSym/Regular",family:"STIXSizeThreeSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8730,8732,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"]],32:[0,0,250,0,0],40:[2066,394,750,182,667],41:[2066,394,750,83,568],47:[2066,394,1101,30,1071],91:[2066,394,508,225,491],92:[2066,394,1101,30,1071],93:[2066,394,508,17,283],95:[-127,177,2000,0,2000],123:[2066,394,906,143,717],125:[2066,394,906,189,763],160:[0,0,250,0,0],770:[777,-564,0,-1610,-150],771:[774,-608,0,-1612,-152],8730:[2565,510,1076,112,1110],8968:[2066,394,565,225,550],8969:[2066,394,565,15,340],8970:[2066,394,565,225,550],8971:[2066,394,565,15,340],9182:[157,86,1886,0,1886],9183:[815,-572,1886,0,1886],10216:[2066,394,765,96,670],10217:[2066,394,765,95,669]};j.FONTDATA.FONTS.STIXSizeFourSym={directory:"SizeFourSym/Regular",family:"STIXSizeFourSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8730,8732,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"]],32:[0,0,250,0,0],40:[2566,509,808,124,732],41:[2566,509,808,76,684],47:[2566,509,1309,16,1293],91:[2566,509,661,295,634],92:[2566,509,1309,16,1293],93:[2566,509,661,27,366],95:[-127,177,2500,0,2500],123:[2566,509,1076,173,882],125:[2566,509,1076,194,903],160:[0,0,250,0,0],770:[796,-573,0,-2040,-154],771:[771,-608,0,-2040,-154],8730:[1510,345,1184,112,895],8968:[2566,509,682,295,655],8969:[2566,509,682,27,387],8970:[2566,509,682,295,655],8971:[2566,509,682,27,387],9182:[175,90,2328,0,2328],9183:[837,-572,2328,0,2328],10216:[2566,509,908,113,796],10217:[2566,509,908,112,795]};j.FONTDATA.FONTS.STIXSizeFiveSym={directory:"SizeFiveSym/Regular",family:"STIXSizeFiveSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[9115,9145,"All"],[9180,9185,"All"]],32:[0,0,250,0,0],95:[-127,177,3000,0,3000],160:[0,0,250,0,0],770:[816,-572,0,-2485,-157],771:[780,-617,0,-2485,-157],9182:[181,90,3238,0,3238],9183:[844,-573,3238,0,3238]};j.FONTDATA.FONTS.STIXVariants={directory:"Variants/Regular",family:"STIXVariants",Ranges:[[32,32,"All"],[119,124,"All"],[160,160,"All"],[411,411,"All"],[612,612,"All"],[8242,8279,"All"],[8512,8512,"All"],[8592,8595,"All"],[8657,8674,"All"],[8709,8941,"All"],[8994,8995,"All"],[9251,9251,"All"],[9641,9641,"All"],[10812,10990,"All"]],8242:[565,-28,340,44,295],8463:[683,10,579,47,547],8709:[729,74,523,28,502],8726:[710,222,523,46,478],8730:[943,11,737,67,767]};j.FONTDATA.FONTS.STIXGeneral[8722][0]=j.FONTDATA.FONTS.STIXGeneral[43][0];j.FONTDATA.FONTS.STIXGeneral[8722][1]=j.FONTDATA.FONTS.STIXGeneral[43][1];j.FONTDATA.FONTS.STIXGeneral[8942][0]+=400;j.FONTDATA.FONTS.STIXGeneral[8945][0]+=500;j.FONTDATA.FONTS.STIXGeneral[8722][1]+=100;j.FONTDATA.FONTS.STIXGeneral[61][1]+=100;j.FONTDATA.FONTS.STIXNonUnicode[57674][0]+=200;j.FONTDATA.FONTS.STIXNonUnicode[57674][1]+=200;j.FONTDATA.FONTS.STIXNonUnicode[57675][0]+=200;j.FONTDATA.FONTS.STIXNonUnicode[57675][1]+=200;MathJax.Hub.Register.LoadHook(j.fontDir+"/Variants/Regular/All.js",function(){j.FONTDATA.FONTS.STIXVariants[32][2]+=275;j.FONTDATA.FONTS.STIXVariants[32][5]={rfix:275};j.FONTDATA.FONTS.STIXVariants[160][2]+=275;j.FONTDATA.FONTS.STIXVariants[160][5]={rfix:275}});MathJax.Hub.Insert(j.FONTDATA.FONTS.STIXGeneral,{8192:[0,0,500,0,0,{space:1}],8193:[0,0,1000,0,0,{space:1}],8194:[0,0,500,0,0,{space:1}],8195:[0,0,1000,0,0,{space:1}],8196:[0,0,333,0,0,{space:1}],8197:[0,0,250,0,0,{space:1}],8198:[0,0,167,0,0,{space:1}],8201:[0,0,167,0,0,{space:1}],8202:[0,0,83,0,0,{space:1}],8203:[0,0,0,0,0,{space:1}]});MathJax.Hub.Browser.Select({MSIE:function(w){if(!w.versionAtLeast("8.0")||document.documentMode<8){var x=j.FONTDATA;x.REMAP[713]=175;x.REMAP[714]=180;x.REMAP[715]=96;x.REMAP[730]=176;x.RANGES[5]=x.RANGES[4];x.RANGES[4]=x.RANGES[3];x.RANGES[3]={name:"greek",low:945,high:1014,offset:"GG",remap:{1013:26,977:27,1008:28,981:29,1009:30,982:31}};x.VARIANT.bold.offsetGG=120514;x.VARIANT.bold.offsetG=120488;x.VARIANT.italic.offsetGG=120572;x.VARIANT.italic.offsetG=120546;x.VARIANT["bold-italic"].offsetGG=120630;x.VARIANT["bold-italic"].offsetG=120604}},Safari:function(w){w.STIXfontBug=w.versionAtLeast("5.1")&&w.isMac},Chrome:function(x){if(x.isMac){var w=navigator.appVersion.match(/AppleWebKit\/(\d+)/);if(w&&parseInt(w[1])>534){x.STIXfontBug=true}}}});if(MathJax.Hub.Browser.STIXfontBug){j.FONTDATA.FONTS.STIXGeneral.family="STIXGeneral-Regular";j.FONTDATA.FONTS["STIXGeneral-italic"].family="STIXGeneral-Italic";delete j.FONTDATA.FONTS["STIXGeneral-italic"].style;j.FONTDATA.FONTS.STIXNonUnicode.family="STIXNonUnicode-Regular";j.FONTDATA.FONTS["STIXNonUnicode-italic"].family="STIXNonUnicode-Italic";delete j.FONTDATA.FONTS["STIXNonUnicode-italic"].style}var e=[];var o=j.Font.div;s.addElement(o,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE38C\uE38C\uE38C\uE38C\uE38C"]);s.addElement(o,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE39A\uE39A\uE39A\uE39A\uE39A"]);if(o.lastChild.previousSibling.offsetWidth<o.lastChild.offsetWidth){e.push(["Require",MathJax.Ajax,j.fontDir+"/fontdata-1.0.js"])}o.removeChild(o.lastChild);o.removeChild(o.lastChild);if(!j.Font.testFont({family:"STIXSizeOneSym",testString:"\u02C6"})){e.push(["Require",MathJax.Ajax,j.fontDir+"/fontdata-beta.js"])}e.push(["loadComplete",MathJax.Ajax,j.fontDir+"/fontdata.js"]);MathJax.Callback.Queue.apply(MathJax.Callback,e)})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.HTML);
+(function(j,b,s){var t="2.7.9";j.allowWebFonts=false;var m="STIXGeneral",u="STIXGeneral-bold",q="STIXGeneral-italic",v="STIXGeneral-bold-italic",r="STIXNonUnicode",p="STIXNonUnicode-italic",i="STIXSizeOneSym",h="STIXSizeTwoSym",g="STIXSizeThreeSym",d="STIXSizeFourSym",c="STIXSizeFiveSym";var l="H",a="V",n={load:"extra",dir:l},f={load:"extra",dir:a};var k=[8722,m,0,0,0,-0.26,-0.26];j.Augment({FONTDATA:{version:t,STIXversion:"1.1",TeX_factor:1.125,baselineskip:1.2,lineH:0.8,lineD:0.2,FONTS:{STIXGeneral:"General/Regular/Main.js","STIXGeneral-italic":"General/Italic/Main.js","STIXGeneral-bold":"General/Bold/Main.js","STIXGeneral-bold-italic":"General/BoldItalic/Main.js",STIXNonUnicode:"NonUnicode/Regular/Main.js","STIXNonUnicode-italic":"NonUnicode/Italic/Main.js","STIXNonUnicode-bold":"NonUnicode/Bold/Main.js","STIXNonUnicode-bold-italic":"NonUnicode/BoldItalic/Main.js",STIXVariants:"Variants/Regular/All.js",STIXSizeOneSym:"SizeOneSym/Regular/All.js",STIXSizeTwoSym:"SizeTwoSym/Regular/All.js",STIXSizeThreeSym:"SizeThreeSym/Regular/All.js",STIXSizeFourSym:"SizeFourSym/Regular/All.js",STIXSizeFiveSym:"SizeFiveSym/Regular/All.js",STIXIntegralsD:"IntegralsD/Regular/All.js"},VARIANT:{normal:{fonts:[m,r,i],remap:{8709:[8709,"-STIX-variant"],124:[124,"-STIX-variant"]}},bold:{fonts:[u,"STIXNonUnicode-bold","STIXSizeOneSym-bold"],offsetA:119808,offsetG:120488,bold:true,remap:{8706:120539,8711:120513}},italic:{fonts:[q,p,m,r,i],offsetA:119860,offsetG:120546,italic:true,remap:{119893:8462,8706:120597,8711:120571}},"bold-italic":{fonts:[v,"STIXNonUnicode-bold-italic"],offsetA:119912,offsetG:120604,bold:true,italic:true,remap:{119893:8462,8706:120655,8711:120629}},"double-struck":{offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[u],offsetA:120172,bold:true},script:{fonts:[q],offsetA:119964,italic:true,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[v],offsetA:120016,bold:true,italic:true},"sans-serif":{offsetA:120224,offsetN:120802,offsetP:57725,remap:{8706:57724}},"bold-sans-serif":{offsetA:120276,offsetG:120662,offsetN:120812,bold:true,remap:{8706:120713,8711:120687}},"sans-serif-italic":{fonts:[q,p],offsetA:120328,offsetN:57780,offsetP:57791,italic:true,remap:{8706:57790}},"sans-serif-bold-italic":{fonts:[v,"STIXNonUnicode-bold-italic"],offsetA:120380,offsetN:57846,offsetG:120720,bold:true,italic:true,remap:{8706:120771,8711:120745}},monospace:{offsetA:120432,offsetN:120822,remap:{32:[32,"-STIX-variant"],160:[160,"-STIX-variant"]}},"-STIX-variant":{fonts:["STIXVariants",r,m],remap:{10887:57360,10888:57359,8816:57361,8817:57358,8928:57419,8929:57423,8840:57366,8841:57368,9651:9653,9661:9663,8709:[8709,b.VARIANT.NORMAL],124:[124,b.VARIANT.NORMAL]}},"-tex-caligraphic":{fonts:[q,p,r,i],offsetA:57901,noLowerCase:1},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989}},"-tex-mathit":{fonts:[q,p,m,r,i],italic:true,noIC:true},"-largeOp":{fonts:[i,"STIXIntegralsD",r,m]},"-smallOp":{},"-tex-caligraphic-bold":{fonts:["STIXGeneral-bold-italic","STIXNonUnicode-bold-italic","STIXNonUnicode","STIXGeneral","STIXSizeOneSym"],bold:true,offsetA:57927,noLowerCase:1},"-tex-oldstyle-bold":{fonts:["STIXGeneral-bold","STIXNonUnicode-bold","STIXGeneral","STIXSizeOneSym"],bold:true,offsetN:57955,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991}}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:937,offset:"G"},{name:"vargreek",low:977,high:1014,offset:"G",remapOnly:true,remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}},{name:"PUAgreek",low:945,high:969,offset:"P",add:25},{name:"PUAGreek",low:913,high:937,offset:"P"},{name:"varPUAgreek",low:977,high:1014,offset:"P",remapOnly:true,remap:{1013:50,977:51,981:52,1009:53,982:54,1012:17}}],RULECHAR:8254,REMAP:{10:32,755:730,756:714,65079:9182,65080:9183,12296:10216,12297:10217,10072:8739},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u2190":"\u20D6","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:a,HW:[[0.844,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9115,i],ext:[9116,i],bot:[9117,i]}},41:{dir:a,HW:[[0.844,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9118,i],ext:[9119,i],bot:[9120,i]}},47:{dir:a,HW:[[0.69,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},91:{dir:a,HW:[[0.818,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9121,i],ext:[9122,i],bot:[9123,i]}},92:{dir:a,HW:[[0.69,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},93:{dir:a,HW:[[0.818,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9124,i],ext:[9125,i],bot:[9126,i]}},123:{dir:a,HW:[[0.861,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9127,i],mid:[9128,i],bot:[9129,i],ext:[9130,i]}},124:{dir:a,HW:[[0.69,m]],stretch:{ext:[8739,m]}},125:{dir:a,HW:[[0.861,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9131,i],mid:[9132,i],bot:[9133,i],ext:[9130,i]}},710:{dir:l,HW:[[0.333,m],[0.56,i],[0.979,h],[1.46,g],[1.886,d],[2.328,c]]},711:{dir:l,HW:[[0.333,m],[0.56,i],[0.979,h],[1.46,g],[1.886,d],[2.328,c]]},732:{dir:l,HW:[[0.333,m],[0.558,i],[0.978,h],[1.458,g],[1.886,d],[2.328,c]]},8214:{dir:a,HW:[[0.879,m]],stretch:{ext:[8214,m]}},8254:{dir:l,HW:[[0.5,m]],stretch:{rep:[8254,m]}},8592:{dir:l,HW:[[0.926,m]],stretch:{left:[8592,m],rep:k}},8593:{dir:a,HW:[[0.818,m]],stretch:{top:[8593,m],ext:[9168,m]}},8594:{dir:l,HW:[[0.926,m]],stretch:{rep:k,right:[8594,m]}},8595:{dir:a,HW:[[0.818,m]],stretch:{ext:[9168,m],bot:[8595,m]}},8596:{dir:l,HW:[[0.926,m]],stretch:{left:[8592,m],rep:k,right:[8594,m]}},8597:{dir:a,HW:[[0.818,m]],stretch:{top:[8593,m],ext:[9168,m],bot:[8595,m]}},8656:{dir:l,HW:[[0.926,m]],stretch:{left:[8656,m],rep:[61,m]}},8657:{dir:a,HW:[[0.818,m]],stretch:{top:[8657,m],ext:[8741,m,0.082]}},8658:{dir:l,HW:[[0.926,m]],stretch:{rep:[61,m],right:[8658,m]}},8659:{dir:a,HW:[[0.818,m]],stretch:{ext:[8741,m,0.082],bot:[8659,m]}},8660:{dir:l,HW:[[0.926,m]],stretch:{left:[8656,m],rep:[61,m],right:[8658,m]}},8661:{dir:a,HW:[[0.818,m]],stretch:{top:[8657,m],ext:[8741,m,0.082],bot:[8659,m]}},8730:{dir:a,HW:[[0.954,"STIXVariants"],[1.232,m],[1.847,i],[2.46,h],[3.075,g]],stretch:{top:[57345,r],ext:[57344,r],bot:[9143,i],fullExtenders:true}},8739:{dir:a,HW:[[0.879,m]],stretch:{ext:[8739,m]}},8741:{dir:a,HW:[[0.879,m]],stretch:{ext:[8741,m]}},8968:{dir:a,HW:[[0.926,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9121,i],ext:[9122,i]}},8969:{dir:a,HW:[[0.926,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{top:[9124,i],ext:[9125,i]}},8970:{dir:a,HW:[[0.926,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{ext:[9122,i],bot:[9123,i]}},8971:{dir:a,HW:[[0.926,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]],stretch:{ext:[9125,i],bot:[9126,i]}},9130:{dir:a,HW:[[1.01,i]],stretch:{top:[9130,i],ext:[9130,i],bot:[9130,i]}},9135:{dir:l,HW:[[0.315,m]],stretch:{rep:[9135,m]}},9136:{dir:a,HW:[[1,i]],stretch:{top:[9127,i],ext:[9130,i],bot:[9133,i]}},9137:{dir:a,HW:[[1,i]],stretch:{top:[9131,i],ext:[9130,i],bot:[9129,i]}},9168:{dir:a,HW:[[0.304,m],[0.69,m,null,124],[0.879,m,null,8739]],stretch:{ext:[8739,m]}},9182:{dir:l,HW:[[0.926,i],[1,m],[1.46,h],[1.886,g],[2.328,d],[3.238,c]],stretch:{left:[57659,r],mid:[57664,r],right:[57660,r],rep:[57674,r]}},9183:{dir:l,HW:[[0.926,i],[1,m],[1.46,h],[1.886,g],[2.328,d],[3.238,c]],stretch:{left:[57661,r],mid:[57665,r],right:[57662,r],rep:[57675,r]}},10216:{dir:a,HW:[[0.926,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},10217:{dir:a,HW:[[0.926,m],[1.23,i],[1.353,i,1.1],[1.845,h],[2.048,h,1.11],[2.46,g],[2.472,g,1.005],[3.075,d]]},10222:{dir:a,HW:[[0.853,m]],stretch:{top:[9127,i],ext:[9130,i],bot:[9129,i]}},10223:{dir:a,HW:[[0.853,m]],stretch:{top:[9131,i],ext:[9130,i],bot:[9133,i]}},45:{alias:9135,dir:l},94:{alias:710,dir:l},95:{alias:9135,dir:l},126:{alias:732,dir:l},175:{alias:9135,dir:l},713:{alias:9135,dir:l},770:{alias:710,dir:l},771:{alias:732,dir:l},780:{alias:711,dir:l},818:{alias:9135,dir:l},8213:{alias:9135,dir:l},8215:{alias:9135,dir:l},8406:{alias:8592,dir:l},8407:{alias:8594,dir:l},8722:{alias:9135,dir:l},8725:{alias:47,dir:a},9001:{alias:10216,dir:a},9002:{alias:10217,dir:a},9472:{alias:8722,dir:l},10072:{alias:8739,dir:a},12296:{alias:10216,dir:a},12297:{alias:10217,dir:a},65079:{alias:9182,dir:l},65080:{alias:9183,dir:l},61:n,8606:n,8608:n,8612:n,8613:f,8614:n,8615:f,8624:f,8625:f,8636:n,8637:n,8638:f,8639:f,8640:n,8641:n,8642:f,8643:f,8666:n,8667:n,8747:f,9140:n,9141:n,9180:n,9181:n,9184:n,9185:n,10502:n,10503:n,10574:n,10575:f,10576:n,10577:f,10586:n,10587:n,10588:f,10589:f,10590:n,10591:n,10592:f,10593:f,8978:{alias:9180,dir:l},8994:{alias:9180,dir:l},8995:{alias:9181,dir:l},10229:{alias:8592,dir:l},10230:{alias:8594,dir:l},10231:{alias:8596,dir:l},10232:{alias:8656,dir:l},10233:{alias:8658,dir:l},10234:{alias:8660,dir:l},10235:{alias:8612,dir:l},10236:{alias:8614,dir:l},10237:{alias:10502,dir:l},10238:{alias:10503,dir:l},711:n,717:n,759:n,8607:f,8609:f,8616:f,8617:n,8618:n,8626:f,8627:f,8628:n,8629:f,8651:n,8652:n,8672:n,8673:f,8674:n,8675:f,8676:n,8677:n,8701:n,8702:n,8703:n,10214:f,10215:f,10218:f,10219:f,10506:f,10507:f,10514:f,10515:f,10578:n,10579:n,10580:f,10581:f,10582:n,10583:n,10584:f,10585:f,10624:f,10647:f,10648:f}}});j.FONTDATA.FONTS.STIXGeneral={directory:"General/Regular",family:"STIXGeneral",Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[592,687,"IPAExtensions"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[1024,1279,"Cyrillic"],[7424,7615,"PhoneticExtensions"],[7680,7935,"LatinExtendedAdditional"],[8192,8303,"GeneralPunctuation"],[8304,8351,"SuperAndSubscripts"],[8352,8399,"CurrencySymbols"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8528,8591,"NumberForms"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9216,9279,"ControlPictures"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[9600,9631,"BlockElements"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[9984,10175,"Dingbats"],[10176,10223,"MiscMathSymbolsA"],[10224,10239,"SupplementalArrowsA"],[10496,10623,"SupplementalArrowsB"],[10624,10751,"MiscMathSymbolsB"],[10752,11007,"SuppMathOperators"],[11008,11263,"MiscSymbolsAndArrows"],[12288,12351,"CJK"],[12352,12447,"Hiragana"],[42784,43007,"LatinExtendedD"],[64256,64335,"AlphaPresentForms"],[65520,65535,"Specials"],[119808,119859,"MathBold"],[119860,119911,"MathItalic"],[119912,119963,"MathBoldItalic"],[119964,120015,"MathScript"],[120016,120067,"MathBoldScript"],[120068,120119,"Fraktur"],[120120,120171,"BBBold"],[120172,120223,"BoldFraktur"],[120224,120275,"MathSS"],[120276,120327,"MathSSBold"],[120328,120379,"MathSSItalic"],[120380,120431,"MathSSItalicBold"],[120432,120483,"MathTT"],[120484,120485,"ij"],[120488,120545,"GreekBold"],[120546,120603,"GreekItalic"],[120604,120661,"GreekBoldItalic"],[120662,120719,"GreekSSBold"],[120720,120777,"GreekSSBoldItalic"],[120782,120791,"MathBold"],[120792,120801,"BBBold"],[120802,120811,"MathSS"],[120812,120822,"MathSSBold"],[120822,120831,"MathTT"]],32:[0,0,250,0,0],33:[676,9,333,130,236],34:[676,-431,408,77,331],35:[662,0,500,6,495],36:[727,87,500,44,458],37:[706,19,747,61,686],38:[676,13,778,42,750],39:[676,-431,180,48,133],40:[676,177,333,48,304],41:[676,177,333,29,285],42:[676,-265,500,68,433],43:[547,41,685,48,636],44:[102,141,250,55,195],45:[257,-194,333,39,285],46:[100,11,250,70,181],47:[676,14,278,-9,287],48:[676,14,500,24,476],49:[676,0,500,111,394],50:[676,0,500,29,474],51:[676,14,500,41,431],52:[676,0,500,12,473],53:[688,14,500,31,438],54:[684,14,500,34,468],55:[662,8,500,20,449],56:[676,14,500,56,445],57:[676,22,500,30,459],58:[459,11,278,81,192],59:[459,141,278,80,219],60:[534,24,685,56,621],61:[386,-120,685,48,637],62:[534,24,685,56,621],63:[676,8,444,68,414],64:[676,14,921,116,809],65:[674,0,722,15,707],66:[662,0,667,17,593],67:[676,14,667,28,633],68:[662,0,722,16,685],69:[662,0,611,12,597],70:[662,0,556,11,546],71:[676,14,722,32,709],72:[662,0,722,18,703],73:[662,0,333,18,315],74:[662,14,373,-6,354],75:[662,0,722,33,723],76:[662,0,611,12,598],77:[662,0,889,12,864],78:[662,11,722,12,707],79:[676,14,722,34,688],80:[662,0,557,16,542],81:[676,177,722,34,701],82:[662,0,667,17,660],83:[676,14,556,43,491],84:[662,0,611,17,593],85:[662,14,722,14,705],86:[662,11,722,16,697],87:[662,11,944,5,932],88:[662,0,722,10,704],89:[662,0,722,22,703],90:[662,0,612,10,598],91:[662,156,333,88,299],92:[676,14,278,-9,287],93:[662,156,333,34,245],94:[662,-297,469,24,446],95:[-75,125,500,0,500],96:[678,-507,333,18,242],97:[460,10,444,37,442],98:[683,10,500,3,468],99:[460,10,444,25,412],100:[683,10,500,27,491],101:[460,10,444,25,424],102:[683,0,333,20,383],103:[460,218,500,28,470],104:[683,0,500,9,487],105:[683,0,278,16,253],106:[683,218,278,-70,194],107:[683,0,500,7,505],108:[683,0,278,19,257],109:[460,0,778,16,775],110:[460,0,500,16,485],111:[460,10,500,29,470],112:[460,217,500,5,470],113:[460,217,500,24,488],114:[460,0,333,5,335],115:[459,10,389,51,348],116:[579,10,278,13,279],117:[450,10,500,9,480],118:[450,14,500,19,477],119:[450,14,722,21,694],120:[450,0,500,17,479],121:[450,218,500,14,475],122:[450,0,444,27,418],123:[680,181,480,100,350],124:[676,14,200,67,133],125:[680,181,480,130,380],126:[325,-183,541,40,502],160:[0,0,250,0,0],168:[622,-523,333,18,316],172:[393,-115,600,48,552],175:[601,-547,333,11,322],177:[502,87,685,48,637],183:[310,-199,250,70,181],215:[529,25,640,43,597],247:[516,10,564,30,534],305:[460,0,278,16,253],567:[460,218,278,-70,193],710:[674,-507,333,11,322],711:[674,-507,333,11,322],713:[601,-547,334,11,322],714:[679,-509,333,93,320],715:[679,-509,333,22,249],728:[664,-507,335,27,308],729:[622,-523,333,118,217],732:[638,-532,333,1,331],768:[678,-507,0,-371,-147],769:[678,-507,0,-371,-147],770:[674,-507,0,-386,-75],771:[638,-532,0,-395,-65],772:[601,-547,0,-385,-74],774:[664,-507,0,-373,-92],775:[622,-523,0,-280,-181],776:[622,-523,0,-379,-81],778:[711,-512,0,-329,-130],779:[678,-507,0,-401,-22],780:[674,-507,0,-385,-74],824:[662,156,0,-380,31],915:[662,0,587,11,577],916:[674,0,722,48,675],920:[676,14,722,34,688],923:[674,0,702,15,687],926:[662,0,643,29,614],928:[662,0,722,18,703],931:[662,0,624,30,600],933:[674,0,722,29,703],934:[662,0,763,35,728],936:[690,0,746,22,724],937:[676,0,744,29,715],8224:[676,149,500,59,442],8225:[676,153,500,58,442],8230:[100,11,1000,111,888],8242:[678,-402,289,75,214],8254:[820,-770,500,0,500],8407:[760,-548,0,-453,-17],8465:[695,34,762,45,711],8472:[547,217,826,52,799],8476:[704,22,874,50,829],8501:[677,13,682,43,634],8592:[449,-58,926,71,857],8593:[662,156,511,60,451],8594:[448,-57,926,70,856],8595:[662,156,511,60,451],8596:[449,-57,926,38,888],8597:[730,224,511,60,451],8598:[662,156,926,70,856],8599:[662,156,926,70,856],8600:[662,156,926,70,856],8601:[662,156,926,70,856],8614:[450,-57,926,70,857],8617:[553,-57,926,70,856],8618:[553,-57,926,70,856],8636:[494,-220,955,54,901],8637:[286,-12,955,54,901],8640:[494,-220,955,54,901],8641:[286,-12,955,54,901],8652:[539,33,926,70,856],8656:[551,45,926,60,866],8657:[662,156,685,45,641],8658:[551,45,926,60,866],8659:[662,156,685,45,641],8660:[517,10,926,20,906],8661:[730,224,685,45,641],8704:[662,0,560,2,558],8706:[668,11,471,40,471],8707:[662,0,560,73,487],8709:[583,79,762,50,712],8711:[662,12,731,63,667],8712:[531,27,685,60,625],8713:[662,157,685,60,625],8715:[531,27,685,60,625],8719:[763,259,1000,52,948],8720:[763,259,1000,52,948],8721:[763,259,914,58,856],8722:[286,-220,685,64,621],8723:[502,87,685,48,637],8725:[710,222,523,46,478],8726:[411,-93,428,25,403],8727:[471,-33,523,67,457],8728:[387,-117,350,40,310],8729:[387,-117,350,40,310],8730:[973,259,928,112,963],8733:[430,0,685,41,643],8734:[430,0,926,70,854],8736:[547,0,685,23,643],8739:[690,189,266,100,166],8741:[690,189,523,129,394],8743:[536,29,620,31,589],8744:[536,29,620,31,589],8745:[536,31,620,48,572],8746:[536,31,620,48,572],8747:[824,320,459,32,639],8764:[362,-148,685,48,637],8768:[547,42,286,35,249],8771:[445,-55,685,48,637],8773:[532,27,685,48,637],8776:[475,-25,685,48,637],8781:[498,-8,685,48,637],8784:[611,-120,685,48,637],8800:[662,156,685,48,637],8801:[478,-28,685,48,637],8804:[609,103,685,64,629],8805:[609,103,685,64,629],8810:[532,26,933,25,908],8811:[532,26,933,25,908],8826:[532,26,685,64,621],8827:[532,26,685,64,621],8828:[628,120,685,64,621],8829:[629,119,685,64,621],8834:[531,25,685,64,621],8835:[531,25,685,64,621],8838:[607,103,685,64,621],8839:[607,103,685,64,621],8846:[536,31,620,48,572],8849:[607,103,685,64,621],8850:[607,103,685,64,621],8851:[536,31,620,48,572],8852:[536,31,620,48,572],8853:[623,119,842,50,792],8854:[623,119,842,50,792],8855:[623,119,842,50,792],8856:[623,119,842,50,792],8857:[583,79,762,50,712],8866:[662,0,685,64,621],8867:[662,0,685,64,621],8868:[662,0,685,48,637],8869:[662,0,685,48,637],8872:[662,0,685,64,621],8896:[763,259,924,54,870],8897:[763,259,924,54,870],8898:[778,254,924,94,830],8899:[768,264,924,94,830],8900:[488,-16,523,26,497],8901:[313,-193,286,83,203],8902:[597,13,700,35,665],8904:[582,80,810,54,756],8942:[606,104,511,192,319],8943:[316,-189,926,108,818],8945:[520,18,926,194,732],8968:[713,213,469,188,447],8969:[713,213,469,27,286],8970:[713,213,469,188,447],8971:[713,213,469,27,286],8994:[360,-147,1019,54,965],8995:[360,-147,1019,54,965],9135:[286,-220,315,0,315],9168:[405,-101,511,222,288],9651:[811,127,1145,35,1110],9657:[555,50,660,80,605],9661:[811,127,1145,35,1110],9667:[554,51,660,55,580],9711:[785,282,1207,70,1137],9824:[609,99,685,34,651],9825:[603,105,685,34,651],9826:[609,105,685,41,643],9827:[603,99,685,34,651],9837:[768,10,426,57,346],9838:[768,181,426,75,350],9839:[768,181,426,41,386],10216:[713,213,400,77,335],10217:[713,213,400,65,323],10222:[676,177,233,56,211],10223:[676,177,233,22,177],10229:[449,-58,1574,55,1519],10230:[449,-57,1574,55,1519],10231:[449,-57,1574,55,1519],10232:[551,45,1574,55,1519],10233:[551,45,1574,55,1519],10234:[517,10,1574,55,1519],10235:[450,-57,1574,55,1519],10236:[450,-57,1574,55,1519],10741:[710,222,523,46,478],10752:[763,259,1126,53,1073],10753:[763,259,1126,53,1073],10754:[763,259,1126,53,1073],10755:[768,264,924,94,830],10756:[768,264,924,94,830],10757:[763,259,924,94,830],10758:[763,259,924,94,830],10815:[662,0,694,30,664],10927:[609,103,685,64,621],10928:[609,103,685,64,621]};j.FONTDATA.FONTS["STIXGeneral-bold"]={directory:"General/Bold",family:"STIXGeneral",weight:"bold",Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[592,687,"IPAExtensions"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[1024,1279,"Cyrillic"],[7424,7615,"PhoneticExtensions"],[7680,7935,"LatinExtendedAdditional"],[8192,8303,"GeneralPunctuation"],[8304,8351,"SuperAndSubscripts"],[8352,8399,"CurrencySymbols"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8528,8591,"NumberForms"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9216,9279,"ControlPictures"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10176,10223,"MiscMathSymbolsA"],[10624,10751,"MiscMathSymbolsB"],[10752,11007,"SuppMathOperators"],[42784,43007,"LatinExtendedD"],[64256,64335,"AlphaPresentForms"],[119808,119859,"MathBold"],[120120,120171,"BBBold"],[120172,120223,"BoldFraktur"],[120276,120327,"MathSSBold"],[120488,120545,"GreekBold"],[120662,120719,"GreekSSBold"],[120782,120791,"MathBold"],[120812,120822,"MathSSBold"]],32:[0,0,250,0,0],33:[691,13,333,81,251],34:[691,-404,555,83,472],35:[700,0,500,5,495],36:[750,99,500,29,472],37:[706,29,749,61,688],38:[691,16,833,62,789],39:[691,-404,278,75,204],40:[694,168,333,46,306],41:[694,168,333,27,287],42:[691,-255,500,56,448],43:[563,57,750,65,685],44:[155,180,250,39,223],45:[287,-171,333,44,287],46:[156,13,250,41,210],47:[691,19,278,-24,302],48:[688,13,500,24,476],49:[688,0,500,65,441],50:[688,0,500,17,478],51:[688,14,500,16,468],52:[688,0,500,19,476],53:[676,8,500,22,470],54:[688,13,500,28,475],55:[676,0,500,17,477],56:[688,13,500,28,472],57:[688,13,500,26,473],58:[472,13,333,82,251],59:[472,180,333,82,266],60:[534,24,750,80,670],61:[399,-107,750,68,682],62:[534,24,750,80,670],63:[689,13,500,57,445],64:[691,19,930,108,822],65:[690,0,722,9,689],66:[676,0,667,16,619],67:[691,19,722,49,687],68:[676,0,722,14,690],69:[676,0,667,16,641],70:[676,0,611,16,583],71:[691,19,778,37,755],72:[676,0,778,21,759],73:[676,0,389,20,370],74:[676,96,500,3,478],75:[676,0,778,30,769],76:[677,0,667,19,638],77:[676,0,944,14,921],78:[676,18,722,16,701],79:[691,19,778,35,743],80:[676,0,611,16,600],81:[691,176,778,35,743],82:[676,0,722,26,716],83:[692,19,556,35,513],84:[676,0,667,31,636],85:[676,19,722,16,701],86:[676,18,722,16,701],87:[676,15,1000,19,981],88:[676,0,722,16,699],89:[676,0,722,15,699],90:[676,0,667,28,634],91:[678,149,333,67,301],92:[691,19,278,-25,303],93:[678,149,333,32,266],94:[676,-311,581,73,509],95:[-75,125,500,0,500],96:[713,-528,333,8,246],97:[473,14,500,25,488],98:[676,14,556,17,521],99:[473,14,444,25,430],100:[676,14,556,25,534],101:[473,14,444,25,427],102:[691,0,333,14,389],103:[473,206,500,28,483],104:[676,0,556,15,534],105:[691,0,278,15,256],106:[691,203,333,-57,263],107:[676,0,556,22,543],108:[676,0,278,15,256],109:[473,0,833,15,814],110:[473,0,556,21,539],111:[473,14,500,25,476],112:[473,205,556,19,524],113:[473,205,556,34,536],114:[473,0,444,28,434],115:[473,14,389,25,361],116:[630,12,333,19,332],117:[461,14,556,16,538],118:[461,14,500,21,485],119:[461,14,722,23,707],120:[461,0,500,12,484],121:[461,205,500,16,482],122:[461,0,444,21,420],123:[698,175,394,22,340],124:[691,19,220,66,154],125:[698,175,394,54,372],126:[333,-173,520,29,491],915:[676,0,620,16,593],916:[690,0,722,33,673],920:[692,18,778,35,743],923:[690,0,707,9,674],926:[676,0,647,40,607],928:[676,0,778,21,759],931:[676,0,671,28,641],933:[692,0,703,7,693],934:[676,0,836,18,818],936:[692,0,808,15,797],937:[692,0,768,28,740]};j.FONTDATA.FONTS["STIXGeneral-italic"]={directory:"General/Italic",family:"STIXGeneral",style:"italic",Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[592,687,"IPAExtensions"],[688,767,"SpacingModLetters"],[880,1023,"GreekAndCoptic"],[1024,1279,"Cyrillic"],[7680,7935,"LatinExtendedAdditional"],[8192,8303,"GeneralPunctuation"],[8352,8399,"CurrencySymbols"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8704,8959,"MathOperators"],[9216,9279,"ControlPictures"],[9312,9471,"EnclosedAlphanum"],[9472,9599,"BoxDrawing"],[64256,64335,"AlphaPresentForms"],[119860,119911,"MathItalic"],[119964,120015,"MathScript"],[120328,120379,"MathSSItalic"],[120484,120485,"ij"],[120546,120603,"GreekItalic"]],32:[0,0,250,0,0],33:[667,11,333,39,304],34:[666,-421,420,144,432],35:[676,0,501,2,540],36:[731,89,500,32,497],37:[706,19,755,80,705],38:[666,18,778,76,723],39:[666,-421,214,132,241],40:[669,181,333,42,315],41:[669,180,333,16,289],42:[666,-255,500,128,492],43:[506,0,675,86,590],44:[101,129,250,-5,135],45:[255,-192,333,49,282],46:[100,11,250,27,138],47:[666,18,278,-65,386],48:[676,7,500,32,497],49:[676,0,500,50,409],50:[676,0,500,12,452],51:[676,7,500,16,465],52:[676,0,500,1,479],53:[666,7,500,15,491],54:[686,7,500,30,521],55:[666,8,500,75,537],56:[676,7,500,30,493],57:[676,17,500,23,492],58:[441,11,333,50,261],59:[441,129,333,26,261],60:[516,10,675,84,592],61:[386,-120,675,86,590],62:[516,10,675,84,592],63:[664,12,500,132,472],64:[666,18,920,118,806],65:[668,0,611,-51,564],66:[653,0,611,-8,588],67:[666,18,667,66,689],68:[653,0,722,-8,700],69:[653,0,611,-1,634],70:[653,0,611,8,645],71:[666,18,722,52,722],72:[653,0,722,-8,769],73:[653,0,333,-8,384],74:[653,18,444,-6,491],75:[653,0,667,7,722],76:[653,0,556,-8,559],77:[653,0,833,-18,872],78:[653,15,667,-20,727],79:[667,18,722,60,699],80:[653,0,611,0,605],81:[666,182,722,59,699],82:[653,0,611,-13,588],83:[667,18,500,17,508],84:[653,0,556,59,633],85:[653,18,722,102,765],86:[653,18,611,76,688],87:[653,18,833,71,906],88:[653,0,611,-29,655],89:[653,0,556,78,633],90:[653,0,556,-6,606],91:[663,153,389,21,391],92:[666,18,278,-41,319],93:[663,153,389,12,382],94:[666,-301,422,0,422],95:[-75,125,500,0,500],96:[664,-492,333,120,311],97:[441,11,501,17,476],98:[683,11,500,23,473],99:[441,11,444,30,425],100:[683,13,500,15,527],101:[441,11,444,31,412],102:[678,207,278,-147,424],103:[441,206,500,8,471],104:[683,9,500,19,478],105:[654,11,278,49,264],106:[652,207,278,-124,279],107:[683,11,444,14,461],108:[683,11,278,41,279],109:[441,9,722,12,704],110:[441,9,500,14,474],111:[441,11,500,27,468],112:[441,205,504,-75,472],113:[441,209,500,25,484],114:[441,0,389,45,412],115:[442,13,389,16,366],116:[546,11,278,38,296],117:[441,11,500,42,475],118:[441,18,444,20,426],119:[441,18,667,15,648],120:[441,11,444,-27,447],121:[441,206,444,-24,426],122:[428,81,389,-2,380],123:[687,177,400,51,407],124:[666,18,275,105,171],125:[687,177,400,-7,349],126:[323,-183,541,40,502],305:[441,11,278,47,235],567:[441,207,278,-124,246],915:[653,0,611,8,645],916:[668,0,611,-32,526],920:[667,18,722,60,699],923:[668,0,611,-51,564],926:[653,0,651,-6,680],928:[653,0,722,-8,769],931:[653,0,620,-6,659],933:[668,0,556,78,648],934:[653,0,741,50,731],936:[667,0,675,77,778],937:[666,0,762,-6,739],945:[441,11,552,27,549],946:[678,205,506,-40,514],947:[435,206,410,19,438],948:[668,11,460,24,460],949:[441,11,444,30,425],950:[683,185,454,30,475],951:[441,205,474,14,442],952:[678,11,480,27,494],953:[441,11,278,49,235],954:[441,13,444,14,465],955:[678,16,458,-12,431],956:[428,205,526,-33,483],957:[441,18,470,20,459],958:[683,185,454,30,446],959:[441,11,500,27,468],960:[428,18,504,19,536],961:[441,205,504,-40,471],962:[441,185,454,30,453],963:[428,11,498,27,531],964:[428,11,410,12,426],965:[441,10,478,19,446],966:[441,205,622,27,590],967:[441,207,457,-108,498],968:[441,205,584,15,668],969:[439,11,686,27,654],977:[678,10,556,19,526],981:[683,205,627,27,595],982:[428,11,792,17,832],1009:[441,205,516,27,484],1013:[441,11,444,30,420],8467:[687,11,579,48,571]};j.FONTDATA.FONTS.STIXIntegralsD={directory:"IntegralsD/Regular",family:"STIXIntegralsD",Ranges:[[32,32,"All"],[160,160,"All"],[8747,8755,"All"],[10763,10780,"All"]],8747:[2000,269,585,56,1035],8750:[2000,269,635,56,1035]};j.FONTDATA.FONTS.STIXNonUnicode={directory:"NonUnicode/Regular",family:"STIXNonUnicode",Ranges:[[32,32,"All"],[160,160,"All"],[57344,63743,"PrivateUse"]],57344:[610,25,1184,829,895],57345:[667,-41,1184,829,1211],57656:[634,-584,480,-10,490],57657:[-127,177,480,-10,490],57659:[955,-512,897,-25,908],57660:[955,-512,897,-11,922],57661:[182,261,897,-25,908],57662:[182,261,897,-11,922],57664:[1218,-820,1844,-10,1854],57665:[-126,524,1844,-10,1854],57674:[955,-820,633,-1,634],57675:[-126,261,633,-1,634],57953:[422,10,523,41,481],57957:[421,0,523,127,405],57961:[421,0,523,68,455],57965:[424,198,523,47,463],57969:[420,198,523,58,480],57973:[421,198,523,66,457],57977:[612,8,523,37,486],57981:[421,198,523,25,490],57985:[606,12,523,47,477],57989:[421,200,523,41,483],57999:[135,0,325,-1,326],58000:[135,0,633,-1,634]};j.FONTDATA.FONTS["STIXNonUnicode-bold"]={directory:"NonUnicode/Bold",family:"STIXNonUnicode",weight:"bold",Ranges:[[32,32,"All"],[160,160,"All"],[57344,63743,"PrivateUse"]]};j.FONTDATA.FONTS["STIXNonUnicode-italic"]={directory:"NonUnicode/Italic",family:"STIXNonUnicode",style:"italic",Ranges:[[32,32,"All"],[160,160,"All"],[57344,63743,"PrivateUse"]],57901:[677,45,852,43,812],57902:[670,3,724,35,709],57903:[671,11,569,43,586],57904:[662,0,801,34,788],57905:[670,4,553,40,599],57906:[662,0,652,43,710],57907:[671,131,580,40,580],57908:[664,21,831,41,845],57909:[662,0,575,38,591],57910:[662,120,632,31,785],57911:[670,13,809,30,783],57912:[670,7,693,30,653],57913:[671,45,1166,40,1128],57914:[795,37,957,40,1064],57915:[669,10,737,38,729],57916:[662,0,667,38,709],57917:[671,131,744,43,704],57918:[662,3,854,38,816],57919:[671,0,634,38,671],57920:[721,0,509,41,730],57921:[672,13,817,37,950],57922:[677,33,638,33,680],57923:[685,32,956,33,998],57924:[672,13,692,38,739],57925:[675,131,719,34,763],57926:[664,94,752,38,714]};j.FONTDATA.FONTS.STIXSizeOneSym={directory:"SizeOneSym/Regular",family:"STIXSizeOneSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8512,8512,"All"],[8730,8732,"All"],[8992,8993,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"],[10744,10745,"All"],[10752,10762,"All"],[11004,11007,"All"]],32:[0,0,250,0,0],40:[1066,164,468,139,382],41:[1066,164,468,86,329],47:[1066,164,579,25,552],91:[1066,164,383,180,363],92:[1066,164,579,27,552],93:[1066,164,383,20,203],95:[-127,177,1000,0,1000],123:[1066,164,575,114,466],125:[1066,164,575,109,461],160:[0,0,250,0,0],770:[767,-554,0,-720,-160],771:[750,-598,0,-722,-162],8719:[1500,-49,1355,50,1305],8720:[1500,-49,1355,50,1305],8721:[1499,-49,1292,90,1202],8730:[1552,295,1057,112,1089],8896:[1500,-49,1265,60,1205],8897:[1500,-49,1265,60,1205],8898:[1510,-49,1265,118,1147],8899:[1500,-39,1265,118,1147],8968:[1066,164,453,180,426],8969:[1066,164,453,25,273],8970:[1066,164,453,180,428],8971:[1066,164,453,27,273],9115:[700,305,450,50,400],9116:[705,305,450,50,174],9117:[705,300,450,50,400],9118:[700,305,450,50,400],9119:[705,305,450,276,400],9120:[705,300,450,50,400],9121:[682,323,450,50,415],9122:[687,323,450,50,150],9123:[687,318,450,50,415],9124:[682,323,450,35,400],9125:[687,323,450,300,400],9126:[687,318,450,35,400],9127:[700,305,640,260,600],9128:[705,305,640,40,380],9129:[705,300,640,260,600],9130:[705,305,640,260,380],9131:[700,305,640,40,380],9132:[705,305,640,260,600],9133:[705,300,640,40,380],9134:[610,25,688,294,394],9136:[700,301,600,35,566],9137:[700,301,600,35,566],9143:[1510,345,1184,112,895],9144:[1566,289,721,0,66],9145:[1566,289,721,655,721],9182:[136,89,926,0,925],9183:[789,-564,926,0,925],10216:[1066,164,578,116,462],10217:[1066,164,578,116,462],10752:[1500,-49,1555,52,1503],10753:[1500,-49,1555,52,1503],10754:[1500,-49,1555,52,1503],10756:[1500,-39,1265,118,1147],10757:[1500,-49,1153,82,1071],10758:[1500,-49,1153,82,1071]};j.FONTDATA.FONTS.STIXSizeTwoSym={directory:"SizeTwoSym/Regular",family:"STIXSizeTwoSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8730,8732,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"],[11004,11007,"All"]],32:[0,0,250,0,0],40:[1566,279,589,139,503],41:[1566,279,608,114,478],47:[1566,279,806,25,781],91:[1566,279,459,190,422],92:[1566,279,806,25,781],93:[1566,279,459,37,269],95:[-127,177,1500,0,1500],123:[1566,279,717,124,531],125:[1566,279,717,186,593],160:[0,0,250,0,0],770:[777,-564,0,-1150,-171],771:[760,-608,0,-1152,-173],8730:[2056,404,1124,110,1157],8968:[1566,279,524,190,479],8969:[1566,279,526,47,336],8970:[1566,279,524,190,479],8971:[1566,279,526,47,336],9182:[143,81,1460,0,1460],9183:[797,-573,1460,0,1460],10216:[1566,279,622,95,531],10217:[1566,279,622,91,527]};j.FONTDATA.FONTS.STIXSizeThreeSym={directory:"SizeThreeSym/Regular",family:"STIXSizeThreeSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8730,8732,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"]],32:[0,0,250,0,0],40:[2066,394,750,182,667],41:[2066,394,750,83,568],47:[2066,394,1101,30,1071],91:[2066,394,508,225,491],92:[2066,394,1101,30,1071],93:[2066,394,508,17,283],95:[-127,177,2000,0,2000],123:[2066,394,906,143,717],125:[2066,394,906,189,763],160:[0,0,250,0,0],770:[777,-564,0,-1610,-150],771:[774,-608,0,-1612,-152],8730:[2565,510,1076,112,1110],8968:[2066,394,565,225,550],8969:[2066,394,565,15,340],8970:[2066,394,565,225,550],8971:[2066,394,565,15,340],9182:[157,86,1886,0,1886],9183:[815,-572,1886,0,1886],10216:[2066,394,765,96,670],10217:[2066,394,765,95,669]};j.FONTDATA.FONTS.STIXSizeFourSym={directory:"SizeFourSym/Regular",family:"STIXSizeFourSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[8730,8732,"All"],[9115,9145,"All"],[9180,9185,"All"],[10098,10099,"All"],[10214,10219,"All"],[10627,10630,"All"]],32:[0,0,250,0,0],40:[2566,509,808,124,732],41:[2566,509,808,76,684],47:[2566,509,1309,16,1293],91:[2566,509,661,295,634],92:[2566,509,1309,16,1293],93:[2566,509,661,27,366],95:[-127,177,2500,0,2500],123:[2566,509,1076,173,882],125:[2566,509,1076,194,903],160:[0,0,250,0,0],770:[796,-573,0,-2040,-154],771:[771,-608,0,-2040,-154],8730:[1510,345,1184,112,895],8968:[2566,509,682,295,655],8969:[2566,509,682,27,387],8970:[2566,509,682,295,655],8971:[2566,509,682,27,387],9182:[175,90,2328,0,2328],9183:[837,-572,2328,0,2328],10216:[2566,509,908,113,796],10217:[2566,509,908,112,795]};j.FONTDATA.FONTS.STIXSizeFiveSym={directory:"SizeFiveSym/Regular",family:"STIXSizeFiveSym",Ranges:[[688,767,"All"],[768,824,"All"],[8254,8254,"All"],[8400,8431,"All"],[9115,9145,"All"],[9180,9185,"All"]],32:[0,0,250,0,0],95:[-127,177,3000,0,3000],160:[0,0,250,0,0],770:[816,-572,0,-2485,-157],771:[780,-617,0,-2485,-157],9182:[181,90,3238,0,3238],9183:[844,-573,3238,0,3238]};j.FONTDATA.FONTS.STIXVariants={directory:"Variants/Regular",family:"STIXVariants",Ranges:[[32,32,"All"],[119,124,"All"],[160,160,"All"],[411,411,"All"],[612,612,"All"],[8242,8279,"All"],[8512,8512,"All"],[8592,8595,"All"],[8657,8674,"All"],[8709,8941,"All"],[8994,8995,"All"],[9251,9251,"All"],[9641,9641,"All"],[10812,10990,"All"]],8242:[565,-28,340,44,295],8463:[683,10,579,47,547],8709:[729,74,523,28,502],8726:[710,222,523,46,478],8730:[943,11,737,67,767]};j.FONTDATA.FONTS.STIXGeneral[8722][0]=j.FONTDATA.FONTS.STIXGeneral[43][0];j.FONTDATA.FONTS.STIXGeneral[8722][1]=j.FONTDATA.FONTS.STIXGeneral[43][1];j.FONTDATA.FONTS.STIXGeneral[8942][0]+=400;j.FONTDATA.FONTS.STIXGeneral[8945][0]+=500;j.FONTDATA.FONTS.STIXGeneral[8722][1]+=100;j.FONTDATA.FONTS.STIXGeneral[61][1]+=100;j.FONTDATA.FONTS.STIXNonUnicode[57674][0]+=200;j.FONTDATA.FONTS.STIXNonUnicode[57674][1]+=200;j.FONTDATA.FONTS.STIXNonUnicode[57675][0]+=200;j.FONTDATA.FONTS.STIXNonUnicode[57675][1]+=200;MathJax.Hub.Register.LoadHook(j.fontDir+"/Variants/Regular/All.js",function(){j.FONTDATA.FONTS.STIXVariants[32][2]+=275;j.FONTDATA.FONTS.STIXVariants[32][5]={rfix:275};j.FONTDATA.FONTS.STIXVariants[160][2]+=275;j.FONTDATA.FONTS.STIXVariants[160][5]={rfix:275}});MathJax.Hub.Insert(j.FONTDATA.FONTS.STIXGeneral,{8192:[0,0,500,0,0,{space:1}],8193:[0,0,1000,0,0,{space:1}],8194:[0,0,500,0,0,{space:1}],8195:[0,0,1000,0,0,{space:1}],8196:[0,0,333,0,0,{space:1}],8197:[0,0,250,0,0,{space:1}],8198:[0,0,167,0,0,{space:1}],8201:[0,0,167,0,0,{space:1}],8202:[0,0,83,0,0,{space:1}],8203:[0,0,0,0,0,{space:1}]});MathJax.Hub.Browser.Select({MSIE:function(w){if(!w.versionAtLeast("8.0")||document.documentMode<8){var x=j.FONTDATA;x.REMAP[713]=175;x.REMAP[714]=180;x.REMAP[715]=96;x.REMAP[730]=176;x.RANGES[5]=x.RANGES[4];x.RANGES[4]=x.RANGES[3];x.RANGES[3]={name:"greek",low:945,high:1014,offset:"GG",remap:{1013:26,977:27,1008:28,981:29,1009:30,982:31}};x.VARIANT.bold.offsetGG=120514;x.VARIANT.bold.offsetG=120488;x.VARIANT.italic.offsetGG=120572;x.VARIANT.italic.offsetG=120546;x.VARIANT["bold-italic"].offsetGG=120630;x.VARIANT["bold-italic"].offsetG=120604}},Safari:function(w){w.STIXfontBug=w.versionAtLeast("5.1")&&w.isMac},Chrome:function(x){if(x.isMac){var w=navigator.appVersion.match(/AppleWebKit\/(\d+)/);if(w&&parseInt(w[1])>534){x.STIXfontBug=true}}}});if(MathJax.Hub.Browser.STIXfontBug){j.FONTDATA.FONTS.STIXGeneral.family="STIXGeneral-Regular";j.FONTDATA.FONTS["STIXGeneral-italic"].family="STIXGeneral-Italic";delete j.FONTDATA.FONTS["STIXGeneral-italic"].style;j.FONTDATA.FONTS.STIXNonUnicode.family="STIXNonUnicode-Regular";j.FONTDATA.FONTS["STIXNonUnicode-italic"].family="STIXNonUnicode-Italic";delete j.FONTDATA.FONTS["STIXNonUnicode-italic"].style}var e=[];var o=j.Font.div;s.addElement(o,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE38C\uE38C\uE38C\uE38C\uE38C"]);s.addElement(o,"span",{style:{display:"inline-block","font-family":"STIXNonUnicode","font-weight":"bold"}},["\uE39A\uE39A\uE39A\uE39A\uE39A"]);if(o.lastChild.previousSibling.offsetWidth<o.lastChild.offsetWidth){e.push(["Require",MathJax.Ajax,j.fontDir+"/fontdata-1.0.js"])}o.removeChild(o.lastChild);o.removeChild(o.lastChild);if(!j.Font.testFont({family:"STIXSizeOneSym",testString:"\u02C6"})){e.push(["Require",MathJax.Ajax,j.fontDir+"/fontdata-beta.js"])}e.push(["loadComplete",MathJax.Ajax,j.fontDir+"/fontdata.js"]);MathJax.Callback.Queue.apply(MathJax.Callback,e)})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.HTML);
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
index 58ad244272..d8a95f346d 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
index a6cecb718a..60e1861cd3 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
index 58906c8adb..303f42804d 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
index f487afd50b..50d3be745c 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
index 9322784e92..44180b73d2 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
index 3ba3525b41..6e8f2baa86 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
index 3ff3baa675..7c94df7d0a 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
index 8e1bfca66e..04eb15e337 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
index 6f0cd40d57..37fb59db3b 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
index cdcf82711c..4d4c51acc6 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
index 0522caa81b..446873065d 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
index 003ad4a895..99ecd1d172 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
index 777910779d..1316a5ad15 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
index 6ada8985cd..d592966b6b 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
index 1e9044ce65..14e87d69a0 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
index 1e13d6f451..a2c6e8138f 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
index 96561385c4..d833f7a838 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
index 56c2d73092..be636306fa 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
index f2c1b1ce3e..490adf8bba 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
index 3bddd9267a..5c736d8ec8 100644
--- a/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
+++ b/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js b/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
index eec464a73c..18e2f6027e 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
index e0c6127e0d..a07b55f3a5 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
index da775d3b80..4ee52576f9 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
index e832ded26d..38d5eed305 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
index 441e4ceb4e..1917f1e4b6 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
index d034199597..14accc0935 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
index f11144dd4d..245334bd01 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
index 633ffaf9fd..750e217d33 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
index 27d08ce23b..0617384687 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
index bad20d60a8..9d3c7e30a2 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js b/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
index 2e3a1ea0b4..dcbfdb6aec 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
index 56e3708ec7..167f2ca932 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js b/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
index 2dcfd8a46f..34a20c3a12 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
index 8763ef0754..fa5d400356 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
index 0affa71d8b..6f71c08b61 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
index 5ef6731582..6a42e00566 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
index 0e8dc2f7b7..c0670feb93 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
index b1c4287784..af2b2db017 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
index fa7f1e94fb..49f6b92d59 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
index a8e027bb9c..696d220081 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
index 4a7164b298..f4ffb28118 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
index ed9b51e6d1..a16e646a8e 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
index dc18140b02..7c5367b682 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
index 98b81eabc6..decfd66566 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
index 6a034ceeae..7b5da3b23c 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
index 9dd48be67f..b524831536 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
index e13ba3a25f..5c705d8722 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
index 5907a5b6d8..457996a13f 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
index 5e287a1d08..4bba2192be 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
index 27fee1a3b9..bfa7785c3b 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
index 2c7b354d05..3251570c93 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
index e5021d3baf..e6f898d227 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
index af1bce9788..14df1c6164 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
index 64fc58be48..e28bbaaf2a 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
index 323882bc36..954ef74ec6 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
index 347002e5c5..f2ff635f1e 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
index 1b6296cfb3..24dac4d147 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
index 2a363eb510..f043a7519e 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
index 312656ef3b..dbc2fa7891 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
index 8261eccef5..350ba74ac2 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
index 1d51d5d0d8..a23cfa53e7 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js b/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
index 2b418041c6..12fe059db9 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js b/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
index 15a72269cd..e84d8a5689 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
index 70da324df6..b8d1b43d2b 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
index 5f43ef26b8..69caa7f79f 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
index ff9bc64cd2..0898780674 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
index ec894a4a93..2a07f36464 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
index 0bbd685d19..e8a70866bc 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
index fc9342c431..209da8b2cf 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
index 362d76cb2d..30916e1c78 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
index a723600c08..5bc423d9cd 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
index 81a4260f70..ddd146f73b 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
index 49358e9f10..156ee0b365 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
index 54509a5f6c..470cc3905f 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
index 44e5dd597a..8c8b11932c 100644
--- a/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
+++ b/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
index a2065b8b25..f7c319bb0c 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
index b9e2583782..7bba2ee002 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js b/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
index 46d45e90a8..db3e0ac15f 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
index f17269d6ce..9017ffe91e 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
index ac9b98b518..e96ee2a667 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
index 15f122b32a..0a7fb83923 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
index 3bc969f3d9..bb616ac71c 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
index 11ac90c9e8..6d5fdf6ffa 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
index a76c21dbcf..b1e4d7f529 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
index b3991a548e..76d641be71 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
index 937d67e633..96b5631bf1 100644
--- a/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
+++ b/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
index 96680d23aa..21a5859e58 100644
--- a/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js b/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
index 20b2958e77..7007347462 100644
--- a/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
+++ b/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js b/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
index ba2519d991..158da3739f 100644
--- a/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
+++ b/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js b/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
index 61845dc310..daad3cc580 100644
--- a/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
+++ b/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js b/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
index bec595afa6..7900b14491 100644
--- a/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
+++ b/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(h){var n="2.7.6";var m=h.FONTDATA.DELIMITERS;var g="MathJax_Main",i="MathJax_Main-bold",k="MathJax_AMS",e="MathJax_Size1",a="MathJax_Size4";var l="H",f="V";var j=[8722,g,0,0,0,-0.3,-0.3];var c=[61,g,0,0,0,0,0.1];var d={61:{dir:l,HW:[[0.767,g]],stretch:{rep:[61,g]}},8606:{dir:l,HW:[[1,k]],stretch:{left:[8606,k],rep:j}},8608:{dir:l,HW:[[1,k]],stretch:{right:[8608,k],rep:j}},8612:{dir:l,HW:[],stretch:{min:1,left:[8592,g],rep:j,right:[8739,e,0,-0.05,0.9]}},8613:{dir:f,HW:[],stretch:{min:0.6,bot:[8869,i,0,0,0.75],ext:[9168,e],top:[8593,e]}},8614:{dir:l,HW:[[1,g]],stretch:{left:[8739,e,-0.09,-0.05,0.9],rep:j,right:[8594,g]}},8615:{dir:f,HW:[],stretch:{min:0.6,top:[8868,i,0,0,0.75],ext:[9168,e],bot:[8595,e]}},8624:{dir:f,HW:[[0.722,k]],stretch:{top:[8624,k],ext:[9168,e,0.097]}},8625:{dir:f,HW:[[0.722,k]],stretch:{top:[8625,k,0.27],ext:[9168,e]}},8636:{dir:l,HW:[[1,g]],stretch:{left:[8636,g],rep:j}},8637:{dir:l,HW:[[1,g]],stretch:{left:[8637,g],rep:j}},8638:{dir:f,HW:[[0.888,k]],stretch:{top:[8638,k,0.12,0,1.1],ext:[9168,e]}},8639:{dir:f,HW:[[0.888,k]],stretch:{top:[8639,k,0.12,0,1.1],ext:[9168,e]}},8640:{dir:l,HW:[[1,g]],stretch:{right:[8640,g],rep:j}},8641:{dir:l,HW:[[1,g]],stretch:{right:[8641,g],rep:j}},8642:{dir:f,HW:[[0.888,k]],stretch:{bot:[8642,k,0.12,0,1.1],ext:[9168,e]}},8643:{dir:f,HW:[[0.888,k]],stretch:{bot:[8643,k,0.12,0,1.1],ext:[9168,e]}},8666:{dir:l,HW:[[1,k]],stretch:{left:[8666,k],rep:[8801,g]}},8667:{dir:l,HW:[[1,k]],stretch:{right:[8667,k],rep:[8801,g]}},9140:{dir:l,HW:[],stretch:{min:0.5,left:[9484,k,0,-0.1],rep:[8722,g,0,0.35],right:[9488,k,0,-0.1]}},9141:{dir:l,HW:[],stretch:{min:0.5,left:[9492,k,0,0.26],rep:[8722,g,0,0,0,0.25],right:[9496,k,0,0.26]}},9180:{dir:l,HW:[[0.778,k,0,8994],[1,g,0,8994]],stretch:{left:[57680,a],rep:[57684,a],right:[57681,a]}},9181:{dir:l,HW:[[0.778,k,0,8995],[1,g,0,8995]],stretch:{left:[57682,a],rep:[57684,a],right:[57683,a]}},9184:{dir:l,HW:[],stretch:{min:1.25,left:[714,g,-0.1],rep:[713,g,0,0.13],right:[715,g],fullExtenders:true}},9185:{dir:l,HW:[],stretch:{min:1.5,left:[715,g,-0.1,0.1],rep:[713,g],right:[714,g,-0.1,0.1],fullExtenders:true}},10502:{dir:l,HW:[],stretch:{min:1,left:[8656,g],rep:c,right:[8739,e,0,-0.1]}},10503:{dir:l,HW:[],stretch:{min:0.7,left:[8872,k,0,-0.12],rep:c,right:[8658,g]}},10574:{dir:l,HW:[],stretch:{min:0.5,left:[8636,g],rep:j,right:[8640,g]}},10575:{dir:f,HW:[],stretch:{min:0.5,top:[8638,k,0.12,0,1.1],ext:[9168,e],bot:[8642,k,0.12,0,1.1]}},10576:{dir:l,HW:[],stretch:{min:0.5,left:[8637,g],rep:j,right:[8641,g]}},10577:{dir:f,HW:[],stretch:{min:0.5,top:[8639,k,0.12,0,1.1],ext:[9168,e],bot:[8643,k,0.12,0,1.1]}},10586:{dir:l,HW:[],stretch:{min:1,left:[8636,g],rep:j,right:[8739,e,0,-0.05,0.9]}},10587:{dir:l,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:j,right:[8640,g]}},10588:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,i,0,0,0.75],ext:[9168,e],top:[8638,k,0.12,0,1.1]}},10589:{dir:f,HW:[],stretch:{min:0.7,top:[8868,i,0,0,0.75],ext:[9168,e],bot:[8642,k,0.12,0,1.1]}},10590:{dir:l,HW:[],stretch:{min:1,left:[8637,g],rep:j,right:[8739,e,0,-0.05,0.9]}},10591:{dir:l,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:j,right:[8641,g]}},10592:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,i,0,0,0.75],ext:[9168,e],top:[8639,k,0.12,0,1.1]}},10593:{dir:f,HW:[],stretch:{min:0.7,top:[8868,i,0,0,0.75],ext:[9168,e],bot:[8643,k,0.12,0,1.1]}}};for(var b in d){if(d.hasOwnProperty(b)){m[b]=d[b]}}MathJax.Ajax.loadComplete(h.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
+(function(h){var n="2.7.9";var m=h.FONTDATA.DELIMITERS;var g="MathJax_Main",i="MathJax_Main-bold",k="MathJax_AMS",e="MathJax_Size1",a="MathJax_Size4";var l="H",f="V";var j=[8722,g,0,0,0,-0.3,-0.3];var c=[61,g,0,0,0,0,0.1];var d={61:{dir:l,HW:[[0.767,g]],stretch:{rep:[61,g]}},8606:{dir:l,HW:[[1,k]],stretch:{left:[8606,k],rep:j}},8608:{dir:l,HW:[[1,k]],stretch:{right:[8608,k],rep:j}},8612:{dir:l,HW:[],stretch:{min:1,left:[8592,g],rep:j,right:[8739,e,0,-0.05,0.9]}},8613:{dir:f,HW:[],stretch:{min:0.6,bot:[8869,i,0,0,0.75],ext:[9168,e],top:[8593,e]}},8614:{dir:l,HW:[[1,g]],stretch:{left:[8739,e,-0.09,-0.05,0.9],rep:j,right:[8594,g]}},8615:{dir:f,HW:[],stretch:{min:0.6,top:[8868,i,0,0,0.75],ext:[9168,e],bot:[8595,e]}},8624:{dir:f,HW:[[0.722,k]],stretch:{top:[8624,k],ext:[9168,e,0.097]}},8625:{dir:f,HW:[[0.722,k]],stretch:{top:[8625,k,0.27],ext:[9168,e]}},8636:{dir:l,HW:[[1,g]],stretch:{left:[8636,g],rep:j}},8637:{dir:l,HW:[[1,g]],stretch:{left:[8637,g],rep:j}},8638:{dir:f,HW:[[0.888,k]],stretch:{top:[8638,k,0.12,0,1.1],ext:[9168,e]}},8639:{dir:f,HW:[[0.888,k]],stretch:{top:[8639,k,0.12,0,1.1],ext:[9168,e]}},8640:{dir:l,HW:[[1,g]],stretch:{right:[8640,g],rep:j}},8641:{dir:l,HW:[[1,g]],stretch:{right:[8641,g],rep:j}},8642:{dir:f,HW:[[0.888,k]],stretch:{bot:[8642,k,0.12,0,1.1],ext:[9168,e]}},8643:{dir:f,HW:[[0.888,k]],stretch:{bot:[8643,k,0.12,0,1.1],ext:[9168,e]}},8666:{dir:l,HW:[[1,k]],stretch:{left:[8666,k],rep:[8801,g]}},8667:{dir:l,HW:[[1,k]],stretch:{right:[8667,k],rep:[8801,g]}},9140:{dir:l,HW:[],stretch:{min:0.5,left:[9484,k,0,-0.1],rep:[8722,g,0,0.35],right:[9488,k,0,-0.1]}},9141:{dir:l,HW:[],stretch:{min:0.5,left:[9492,k,0,0.26],rep:[8722,g,0,0,0,0.25],right:[9496,k,0,0.26]}},9180:{dir:l,HW:[[0.778,k,0,8994],[1,g,0,8994]],stretch:{left:[57680,a],rep:[57684,a],right:[57681,a]}},9181:{dir:l,HW:[[0.778,k,0,8995],[1,g,0,8995]],stretch:{left:[57682,a],rep:[57684,a],right:[57683,a]}},9184:{dir:l,HW:[],stretch:{min:1.25,left:[714,g,-0.1],rep:[713,g,0,0.13],right:[715,g],fullExtenders:true}},9185:{dir:l,HW:[],stretch:{min:1.5,left:[715,g,-0.1,0.1],rep:[713,g],right:[714,g,-0.1,0.1],fullExtenders:true}},10502:{dir:l,HW:[],stretch:{min:1,left:[8656,g],rep:c,right:[8739,e,0,-0.1]}},10503:{dir:l,HW:[],stretch:{min:0.7,left:[8872,k,0,-0.12],rep:c,right:[8658,g]}},10574:{dir:l,HW:[],stretch:{min:0.5,left:[8636,g],rep:j,right:[8640,g]}},10575:{dir:f,HW:[],stretch:{min:0.5,top:[8638,k,0.12,0,1.1],ext:[9168,e],bot:[8642,k,0.12,0,1.1]}},10576:{dir:l,HW:[],stretch:{min:0.5,left:[8637,g],rep:j,right:[8641,g]}},10577:{dir:f,HW:[],stretch:{min:0.5,top:[8639,k,0.12,0,1.1],ext:[9168,e],bot:[8643,k,0.12,0,1.1]}},10586:{dir:l,HW:[],stretch:{min:1,left:[8636,g],rep:j,right:[8739,e,0,-0.05,0.9]}},10587:{dir:l,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:j,right:[8640,g]}},10588:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,i,0,0,0.75],ext:[9168,e],top:[8638,k,0.12,0,1.1]}},10589:{dir:f,HW:[],stretch:{min:0.7,top:[8868,i,0,0,0.75],ext:[9168,e],bot:[8642,k,0.12,0,1.1]}},10590:{dir:l,HW:[],stretch:{min:1,left:[8637,g],rep:j,right:[8739,e,0,-0.05,0.9]}},10591:{dir:l,HW:[],stretch:{min:1,left:[8739,e,-0.05,-0.05,0.9],rep:j,right:[8641,g]}},10592:{dir:f,HW:[],stretch:{min:0.7,bot:[8869,i,0,0,0.75],ext:[9168,e],top:[8639,k,0.12,0,1.1]}},10593:{dir:f,HW:[],stretch:{min:0.7,top:[8868,i,0,0,0.75],ext:[9168,e],bot:[8643,k,0.12,0,1.1]}}};for(var b in d){if(d.hasOwnProperty(b)){m[b]=d[b]}}MathJax.Ajax.loadComplete(h.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax["HTML-CSS"]);
diff --git a/jax/output/HTML-CSS/fonts/TeX/fontdata.js b/jax/output/HTML-CSS/fonts/TeX/fontdata.js
index d44d3123ce..087c51fbdb 100644
--- a/jax/output/HTML-CSS/fonts/TeX/fontdata.js
+++ b/jax/output/HTML-CSS/fonts/TeX/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/fonts/TeX/fontdata.js
+ *  /MathJax-v2/jax/output/HTML-CSS/fonts/TeX/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(i,b,q){var p="2.7.6";var m="MathJax_Main",r="MathJax_Main-bold",o="MathJax_Math-italic",h="MathJax_AMS",g="MathJax_Size1",f="MathJax_Size2",e="MathJax_Size3",c="MathJax_Size4";var j="H",a="V",l={load:"extra",dir:j},d={load:"extra",dir:a};var k=[8722,m,0,0,0,-0.31,-0.31];var n=[61,m,0,0,0,0,0.1];i.Augment({FONTDATA:{version:p,TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{MathJax_Main:"Main/Regular/Main.js","MathJax_Main-bold":"Main/Bold/Main.js","MathJax_Main-italic":"Main/Italic/Main.js","MathJax_Math-italic":"Math/Italic/Main.js","MathJax_Math-bold-italic":"Math/BoldItalic/Main.js",MathJax_Caligraphic:"Caligraphic/Regular/Main.js",MathJax_Size1:"Size1/Regular/Main.js",MathJax_Size2:"Size2/Regular/Main.js",MathJax_Size3:"Size3/Regular/Main.js",MathJax_Size4:"Size4/Regular/Main.js",MathJax_AMS:"AMS/Regular/Main.js",MathJax_Fraktur:"Fraktur/Regular/Main.js","MathJax_Fraktur-bold":"Fraktur/Bold/Main.js",MathJax_SansSerif:"SansSerif/Regular/Main.js","MathJax_SansSerif-bold":"SansSerif/Bold/Main.js","MathJax_SansSerif-italic":"SansSerif/Italic/Main.js",MathJax_Script:"Script/Regular/Main.js",MathJax_Typewriter:"Typewriter/Regular/Main.js","MathJax_Caligraphic-bold":"Caligraphic/Bold/Main.js"},VARIANT:{normal:{fonts:[m,g,h],offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,8214:8741,8726:[8726,"-TeX-variant"],8463:[8463,"-TeX-variant"],8242:[39,"sans-serif-italic"],10744:[47,b.VARIANT.ITALIC]}},bold:{fonts:[r,g,h],bold:true,offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],8214:8741,8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[o,"MathJax_Main-italic",m,g,h],italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-bold-italic",r,g,h],bold:true,italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[h,m]},fraktur:{fonts:["MathJax_Fraktur",m,g,h]},"bold-fraktur":{fonts:["MathJax_Fraktur-bold",r,g,h],bold:true},script:{fonts:["MathJax_Script",m,g,h]},"bold-script":{fonts:["MathJax_Script",r,g,h],bold:true},"sans-serif":{fonts:["MathJax_SansSerif",m,g,h]},"bold-sans-serif":{fonts:["MathJax_SansSerif-bold",r,g,h],bold:true},"sans-serif-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,h],italic:true},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,h],bold:true,italic:true},monospace:{fonts:["MathJax_Typewriter",m,g,h]},"-tex-caligraphic":{fonts:["MathJax_Caligraphic",m],offsetA:65,variantA:"italic"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic",m]},"-tex-mathit":{fonts:["MathJax_Main-italic",o,m,g,h],italic:true,noIC:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[h,m,g],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,b.VARIANT.NORMAL],8463:[8463,b.VARIANT.NORMAL]}},"-largeOp":{fonts:[f,g,m]},"-smallOp":{fonts:[g,m]},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true,offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],RULECHAR:8722,REMAP:{10:32,8254:713,8400:8636,8401:8640,8406:8592,8417:8596,8428:8641,8429:8637,8430:8592,8431:8594,8432:42,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,b.VARIANT.DOUBLESTRUCK],8459:[72,b.VARIANT.SCRIPT],8460:[72,b.VARIANT.FRAKTUR],8461:[72,b.VARIANT.DOUBLESTRUCK],8462:[104,b.VARIANT.ITALIC],8464:[74,b.VARIANT.SCRIPT],8465:[73,b.VARIANT.FRAKTUR],8466:[76,b.VARIANT.SCRIPT],8469:[78,b.VARIANT.DOUBLESTRUCK],8473:[80,b.VARIANT.DOUBLESTRUCK],8474:[81,b.VARIANT.DOUBLESTRUCK],8475:[82,b.VARIANT.SCRIPT],8476:[82,b.VARIANT.FRAKTUR],8477:[82,b.VARIANT.DOUBLESTRUCK],8484:[90,b.VARIANT.DOUBLESTRUCK],8486:[937,b.VARIANT.NORMAL],8488:[90,b.VARIANT.FRAKTUR],8492:[66,b.VARIANT.SCRIPT],8493:[67,b.VARIANT.FRAKTUR],8496:[69,b.VARIANT.SCRIPT],8497:[70,b.VARIANT.SCRIPT],8499:[77,b.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",8411:"...",8412:"...."},REMAPACCENT:{"\u2192":"\u20D7","\u2032":"'","\u2035":"`"},REMAPACCENTUNDER:{},PLANE1MAP:[[119808,119833,65,b.VARIANT.BOLD],[119834,119859,97,b.VARIANT.BOLD],[119860,119885,65,b.VARIANT.ITALIC],[119886,119911,97,b.VARIANT.ITALIC],[119912,119937,65,b.VARIANT.BOLDITALIC],[119938,119963,97,b.VARIANT.BOLDITALIC],[119964,119989,65,b.VARIANT.SCRIPT],[120068,120093,65,b.VARIANT.FRAKTUR],[120094,120119,97,b.VARIANT.FRAKTUR],[120120,120145,65,b.VARIANT.DOUBLESTRUCK],[120172,120197,65,b.VARIANT.BOLDFRAKTUR],[120198,120223,97,b.VARIANT.BOLDFRAKTUR],[120224,120249,65,b.VARIANT.SANSSERIF],[120250,120275,97,b.VARIANT.SANSSERIF],[120276,120301,65,b.VARIANT.BOLDSANSSERIF],[120302,120327,97,b.VARIANT.BOLDSANSSERIF],[120328,120353,65,b.VARIANT.SANSSERIFITALIC],[120354,120379,97,b.VARIANT.SANSSERIFITALIC],[120432,120457,65,b.VARIANT.MONOSPACE],[120458,120483,97,b.VARIANT.MONOSPACE],[120488,120513,913,b.VARIANT.BOLD],[120546,120570,913,b.VARIANT.ITALIC],[120572,120603,945,b.VARIANT.ITALIC],[120604,120628,913,b.VARIANT.BOLDITALIC],[120630,120661,945,b.VARIANT.BOLDITALIC],[120662,120686,913,b.VARIANT.BOLDSANSSERIF],[120720,120744,913,b.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,b.VARIANT.BOLD],[120802,120811,48,b.VARIANT.SANSSERIF],[120812,120821,48,b.VARIANT.BOLDSANSSERIF],[120822,120831,48,b.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(v,u){for(var t=0,s=this.PLANE1MAP.length;t<s;t++){if(v<this.PLANE1MAP[t][0]){break}if(v<=this.PLANE1MAP[t][1]){v=v-this.PLANE1MAP[t][0]+this.PLANE1MAP[t][2];if(this.REMAPGREEK[v]){v=this.REMAPGREEK[v]}u=this.VARIANT[this.PLANE1MAP[t][3]];break}}return{n:v,variant:u}},DELIMITERS:{40:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9115,c],ext:[9116,c],bot:[9117,c]}},41:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9118,c],ext:[9119,c],bot:[9120,c]}},47:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]]},91:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9121,c],ext:[9122,c],bot:[9123,c]}},92:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]]},93:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9124,c],ext:[9125,c],bot:[9126,c]}},123:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9127,c],mid:[9128,c],bot:[9129,c],ext:[9130,c]}},124:{dir:a,HW:[[1,m]],stretch:{ext:[8739,m]}},125:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9131,c],mid:[9132,c],bot:[9133,c],ext:[9130,c]}},175:{dir:j,HW:[[0.59,m]],stretch:{rep:[175,m]}},710:{dir:j,HW:[[0.267+0.25,m],[0.567+0.25,g],[1.005+0.33,f],[1.447+0.33,e],[1.909,c]]},732:{dir:j,HW:[[0.333+0.25,m],[0.555+0.25,g],[1+0.33,f],[1.443+0.33,e],[1.887,c]]},8211:{dir:j,HW:[[0.5,m]],stretch:{rep:[8211,m]}},8214:{dir:a,HW:[[0.602,g],[1,m,null,8741]],stretch:{ext:[8741,m]}},8592:{dir:j,HW:[[1,m]],stretch:{left:[8592,m],rep:k}},8593:{dir:a,HW:[[0.888,m]],stretch:{top:[8593,g],ext:[9168,g]}},8594:{dir:j,HW:[[1,m]],stretch:{rep:k,right:[8594,m]}},8595:{dir:a,HW:[[0.888,m]],stretch:{ext:[9168,g],bot:[8595,g]}},8596:{dir:j,HW:[[1,m]],stretch:{left:[8592,m],rep:k,right:[8594,m]}},8597:{dir:a,HW:[[1.044,m]],stretch:{top:[8593,g],ext:[9168,g],bot:[8595,g]}},8656:{dir:j,HW:[[1,m]],stretch:{left:[8656,m],rep:n}},8657:{dir:a,HW:[[0.888,m]],stretch:{top:[8657,g],ext:[8214,g]}},8658:{dir:j,HW:[[1,m]],stretch:{rep:n,right:[8658,m]}},8659:{dir:a,HW:[[0.888,m]],stretch:{ext:[8214,g],bot:[8659,g]}},8660:{dir:j,HW:[[1,m]],stretch:{left:[8656,m],rep:n,right:[8658,m]}},8661:{dir:a,HW:[[1.044,m]],stretch:{top:[8657,g],ext:[8214,g],bot:[8659,g]}},8722:{dir:j,HW:[[0.5,m,0,8211]],stretch:{rep:k}},8730:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[57345,c],ext:[57344,c],bot:[9143,c],fullExtenders:true}},8739:{dir:a,HW:[[1,m]],stretch:{ext:[8739,m]}},8741:{dir:a,HW:[[1,m]],stretch:{ext:[8741,m]}},8968:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9121,c],ext:[9122,c]}},8969:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9124,c],ext:[9125,c]}},8970:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{ext:[9122,c],bot:[9123,c]}},8971:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{ext:[9125,c],bot:[9126,c]}},9130:{dir:a,HW:[[0.32,c]],stretch:{top:[9130,c],ext:[9130,c],bot:[9130,c]}},9136:{dir:a,HW:[[0.989,m]],stretch:{top:[9127,c],ext:[9130,c],bot:[9133,c]}},9137:{dir:a,HW:[[0.989,m]],stretch:{top:[9131,c],ext:[9130,c],bot:[9129,c]}},9168:{dir:a,HW:[[0.602,g],[1,m,null,8739]],stretch:{ext:[8739,m]}},9182:{dir:j,HW:[],stretch:{min:0.9,left:[57680,c],mid:[[57683,57682],c],right:[57681,c],rep:[57684,c]}},9183:{dir:j,HW:[],stretch:{min:0.9,left:[57682,c],mid:[[57681,57680],c],right:[57683,c],rep:[57684,c]}},10216:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]]},10217:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]]},10222:{dir:a,HW:[[0.989,m]],stretch:{top:[9127,c],ext:[9130,c],bot:[9129,c]}},10223:{dir:a,HW:[[0.989,m]],stretch:{top:[9131,c],ext:[9130,c],bot:[9133,c]}},45:{alias:8722,dir:j},94:{alias:710,dir:j},95:{alias:8211,dir:j},126:{alias:732,dir:j},713:{alias:175,dir:j},770:{alias:710,dir:j},771:{alias:732,dir:j},780:{alias:711,dir:j},818:{alias:8211,dir:j},8212:{alias:8211,dir:j},8213:{alias:8211,dir:j},8215:{alias:8211,dir:j},8254:{alias:175,dir:j},8407:{alias:8594,dir:j},8725:{alias:47,dir:a},9001:{alias:10216,dir:a},9002:{alias:10217,dir:a},9135:{alias:8211,dir:j},9472:{alias:8211,dir:j},10072:{alias:8739,dir:a},12296:{alias:10216,dir:a},12297:{alias:10217,dir:a},65079:{alias:9182,dir:j},65080:{alias:9183,dir:j},61:l,8606:l,8608:l,8612:l,8613:d,8614:l,8615:d,8624:d,8625:d,8636:l,8637:l,8638:d,8639:d,8640:l,8641:l,8642:d,8643:d,8666:l,8667:l,9140:l,9141:l,9180:l,9181:l,9184:l,9185:l,10502:l,10503:l,10574:l,10575:d,10576:l,10577:d,10586:l,10587:l,10588:d,10589:d,10590:l,10591:l,10592:d,10593:d,8978:{alias:9180,dir:j},8994:{alias:9180,dir:j},8995:{alias:9181,dir:j},10229:{alias:8592,dir:j},10230:{alias:8594,dir:j},10231:{alias:8596,dir:j},10232:{alias:8656,dir:j},10233:{alias:8658,dir:j},10234:{alias:8660,dir:j},10235:{alias:8612,dir:j},10236:{alias:8614,dir:j},10237:{alias:10502,dir:j},10238:{alias:10503,dir:j}}}});i.Font.oldLoadComplete=i.Font.loadComplete;i.Font.loadComplete=function(u,v,t,s){if(v!=null){this.oldLoadComplete(u,v,t,s)}if(u.family===g||u.family===f){if(u.version===1){i.FONTDATA.VARIANT["-largeOp"].remap={8898:8899,8899:8898};i.FONTDATA.VARIANT["-smallOp"].remap={8898:8899,8899:8898}}}};i.FONTDATA.FONTS.MathJax_Caligraphic={directory:"Caligraphic/Regular",family:"MathJax_Caligraphic",testString:"MATHJAX CALIGRAPHIC",skew:{65:0.194,66:0.139,67:0.139,68:0.0833,69:0.111,70:0.111,71:0.111,72:0.111,73:0.0278,74:0.167,75:0.0556,76:0.139,77:0.139,78:0.0833,79:0.111,80:0.0833,81:0.111,82:0.0833,83:0.139,84:0.0278,85:0.0833,86:0.0278,87:0.0833,88:0.139,89:0.0833,90:0.139},32:[0,0,250,0,0],48:[452,22,500,39,460],49:[453,0,500,86,426],50:[453,0,500,44,449],51:[452,216,500,42,456],52:[464,194,500,28,471],53:[453,216,500,50,448],54:[665,22,500,42,456],55:[463,216,500,55,485],56:[666,21,500,43,456],57:[453,216,500,42,457],65:[728,50,798,30,819],66:[705,22,657,32,664],67:[705,25,527,12,533],68:[683,0,771,19,766],69:[705,22,528,30,564],70:[683,32,719,18,829],71:[704,119,595,44,599],72:[683,48,845,18,803],73:[683,0,545,-30,642],74:[683,119,678,47,839],75:[705,22,762,32,732],76:[705,22,690,32,656],77:[705,50,1201,28,1137],78:[789,50,820,-27,979],79:[705,22,796,58,777],80:[683,57,696,19,733],81:[705,131,817,114,787],82:[682,22,848,19,837],83:[705,22,606,18,642],84:[717,68,545,34,833],85:[683,28,626,-17,687],86:[683,52,613,25,658],87:[683,53,988,25,1034],88:[683,0,713,52,807],89:[683,143,668,31,714],90:[683,0,725,37,767],160:[0,0,250,0,0]};i.FONTDATA.FONTS["MathJax_Main-bold"]={directory:"Main/Bold",family:"MathJax_Main",weight:"bold",testString:"MathJax Main ^ \u210F \u2223",skew:{305:0.0319,567:0.0958,8463:-0.0319,8467:0.128,8706:0.0958},Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[8192,8303,"GeneralPunctuation"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10176,10223,"MiscMathSymbolsA"],[10224,10239,"SupplementalArrowsA"],[10752,11007,"SuppMathOperators"]],32:[0,0,250,0,0],33:[705,-1,350,89,260],34:[694,-329,603,38,492],35:[694,193,958,64,893],36:[750,56,575,64,510],37:[750,56,958,65,893],38:[705,11,894,48,836],39:[694,-329,319,74,261],40:[750,249,447,103,382],41:[750,249,447,64,343],42:[750,-306,575,73,501],43:[633,131,894,64,829],44:[171,194,319,74,258],45:[278,-166,383,13,318],46:[171,-1,319,74,245],47:[750,250,575,63,511],48:[654,10,575,45,529],49:[655,0,575,80,494],50:[654,0,575,57,517],51:[655,11,575,47,526],52:[656,0,575,32,542],53:[655,11,575,57,517],54:[655,11,575,48,526],55:[676,11,575,64,558],56:[654,11,575,48,526],57:[654,11,575,48,526],58:[444,-1,319,74,245],59:[444,194,319,74,248],60:[587,85,894,96,797],61:[393,-109,894,64,829],62:[587,85,894,96,797],63:[700,-1,543,65,478],64:[699,6,894,64,829],65:[698,0,869,40,828],66:[686,0,818,39,752],67:[697,11,831,64,766],68:[686,0,882,39,817],69:[680,0,756,39,723],70:[680,0,724,39,675],71:[697,10,904,64,845],72:[686,0,900,39,860],73:[686,0,436,25,410],74:[686,11,594,8,527],75:[686,0,901,39,852],76:[686,0,692,39,643],77:[686,0,1092,39,1052],78:[686,0,900,39,860],79:[696,10,864,64,798],80:[686,0,786,39,721],81:[696,193,864,64,805],82:[686,11,862,39,858],83:[697,11,639,64,574],84:[675,0,800,41,758],85:[686,11,885,39,845],86:[686,7,869,25,843],87:[686,7,1189,24,1164],88:[686,0,869,33,835],89:[686,0,869,19,849],90:[686,0,703,64,645],91:[750,250,319,128,293],92:[750,250,575,63,511],93:[750,250,319,25,190],94:[694,-520,575,126,448],95:[-10,61,575,0,574],96:[706,-503,575,114,338],97:[453,6,559,32,558],98:[694,6,639,29,600],99:[453,6,511,39,478],100:[694,6,639,38,609],101:[452,6,527,32,494],102:[700,0,351,40,452],103:[455,201,575,30,558],104:[694,0,639,37,623],105:[695,0,319,40,294],106:[695,200,351,-71,274],107:[694,0,607,29,587],108:[694,0,319,40,301],109:[450,0,958,37,942],110:[450,0,639,37,623],111:[452,5,575,32,542],112:[450,194,639,29,600],113:[450,194,607,38,609],114:[450,0,474,29,442],115:[453,6,454,38,414],116:[635,5,447,21,382],117:[450,6,639,37,623],118:[444,3,607,26,580],119:[444,4,831,25,805],120:[444,0,607,21,586],121:[444,200,607,23,580],122:[444,0,511,32,462],123:[750,250,575,70,504],124:[750,249,319,129,190],125:[750,250,575,70,504],126:[344,-202,575,96,478],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,63,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,0,831,51,779]};i.FONTDATA.FONTS["MathJax_Main-italic"]={directory:"Main/Italic",family:"MathJax_Main",style:"italic",testString:"MathJax Main ^ \u210F \u2223",Ranges:[[160,255,"Latin1Supplement"],[768,879,"CombDiacritMarks"],[8192,8303,"GeneralPunctuation"],[8448,8527,"LetterlikeSymbols"]],32:[0,0,250,0,0],33:[716,0,307,107,380],34:[694,-379,514,176,538],35:[694,194,818,115,828],37:[750,56,818,145,847],38:[716,22,767,127,802],39:[694,-379,307,213,377],40:[750,250,409,144,517],41:[750,250,409,17,390],42:[750,-320,511,195,584],43:[557,57,767,139,753],44:[121,194,307,69,232],45:[251,-180,358,84,341],46:[121,0,307,107,231],47:[750,250,511,19,617],48:[665,21,511,110,562],49:[666,0,511,110,468],50:[666,22,511,76,551],51:[666,22,511,96,562],52:[666,194,511,46,478],53:[666,22,511,106,567],54:[665,22,511,120,565],55:[666,22,511,136,634],56:[666,21,511,99,553],57:[666,22,511,107,553],58:[431,0,307,107,308],59:[431,194,307,70,308],61:[367,-133,767,116,776],63:[716,0,511,195,551],64:[705,11,767,152,789],65:[716,0,743,58,696],66:[683,0,704,57,732],67:[705,21,716,150,812],68:[683,0,755,56,775],69:[680,0,678,54,743],70:[680,-1,653,54,731],71:[705,22,774,150,812],72:[683,0,743,54,860],73:[683,0,386,49,508],74:[683,21,525,78,622],75:[683,0,769,54,859],76:[683,0,627,54,628],77:[683,0,897,58,1010],78:[683,0,743,54,860],79:[704,22,767,149,788],80:[683,0,678,55,729],81:[704,194,767,149,788],82:[683,22,729,55,723],83:[705,22,562,74,633],84:[677,0,716,171,806],85:[683,22,743,194,860],86:[683,22,743,205,868],87:[683,22,999,205,1124],88:[683,0,743,50,825],89:[683,0,743,198,875],90:[683,0,613,80,704],91:[750,250,307,73,446],93:[750,250,307,-14,359],94:[694,-527,511,260,528],95:[-25,62,511,91,554],97:[442,11,511,101,543],98:[694,11,460,108,467],99:[441,10,460,103,469],100:[694,11,511,101,567],101:[442,10,460,107,470],102:[705,204,307,-23,450],103:[442,205,460,46,494],104:[694,11,511,69,544],105:[656,10,307,75,340],106:[656,204,307,-32,364],107:[694,11,460,69,498],108:[694,11,256,87,312],109:[442,11,818,75,851],110:[442,11,562,75,595],111:[442,11,511,103,517],112:[442,194,511,6,518],113:[442,194,460,101,504],114:[442,11,422,75,484],115:[442,11,409,76,418],116:[626,11,332,87,373],117:[441,11,537,75,570],118:[443,10,460,75,492],119:[443,11,664,75,696],120:[442,11,464,58,513],121:[441,205,486,75,522],122:[442,11,409,54,466],126:[318,-208,511,246,571],163:[714,11,769,88,699],305:[441,10,307,75,340],567:[442,204,332,-32,327],915:[680,0,627,54,705],916:[716,0,818,70,751],920:[704,22,767,149,788],923:[716,0,692,58,646],926:[677,0,664,74,754],928:[680,0,743,54,859],931:[683,0,716,80,782],933:[705,0,767,213,832],934:[683,0,716,159,728],936:[683,0,767,207,824],937:[705,0,716,100,759]};i.FONTDATA.FONTS.MathJax_Main={directory:"Main/Regular",family:"MathJax_Main",testString:"MathJax Main ^ \u210F \u2223",skew:{305:0.0278,567:0.0833,8467:0.111,8472:0.111,8706:0.0833},Ranges:[[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"]],32:[0,0,250,0,0],33:[716,-1,278,78,199],34:[694,-379,500,34,372],35:[694,194,833,56,777],36:[750,56,500,55,444],37:[750,56,833,56,776],38:[716,22,778,42,727],39:[694,-379,278,78,212],40:[750,250,389,94,333],41:[750,250,389,55,294],42:[750,-320,500,64,435],43:[583,82,778,56,722],44:[121,194,278,78,210],45:[252,-179,333,11,277],46:[120,0,278,78,199],47:[750,250,500,56,445],48:[666,22,500,39,460],49:[666,0,500,83,427],50:[666,0,500,50,449],51:[665,22,500,42,457],52:[677,0,500,28,471],53:[666,22,500,50,449],54:[666,22,500,42,456],55:[676,22,500,55,485],56:[666,22,500,43,457],57:[666,22,500,42,456],58:[430,0,278,78,199],59:[430,194,278,78,202],60:[540,40,778,83,694],61:[367,-133,778,56,722],62:[540,40,778,83,694],63:[705,-1,472,55,416],64:[705,11,778,56,722],65:[716,0,750,32,717],66:[683,0,708,28,651],67:[705,21,722,56,666],68:[683,0,764,27,708],69:[680,0,681,25,652],70:[680,0,653,25,610],71:[705,22,785,56,735],72:[683,0,750,25,724],73:[683,0,361,21,339],74:[683,22,514,25,465],75:[683,0,778,25,736],76:[683,0,625,25,582],77:[683,0,917,29,887],78:[683,0,750,25,724],79:[705,22,778,56,722],80:[683,0,681,27,624],81:[705,193,778,56,728],82:[683,22,736,27,732],83:[705,22,556,55,500],84:[677,0,722,36,685],85:[683,22,750,25,724],86:[683,22,750,19,730],87:[683,22,1028,18,1009],88:[683,0,750,23,726],89:[683,0,750,11,738],90:[683,0,611,55,560],91:[750,250,278,118,255],92:[750,250,500,56,444],93:[750,250,278,22,159],94:[694,-531,500,112,387],95:[-25,62,500,0,499],96:[699,-505,500,106,295],97:[448,11,500,34,493],98:[694,11,556,20,522],99:[448,11,444,34,415],100:[694,11,556,34,535],101:[448,11,444,28,415],102:[705,0,306,26,372],103:[453,206,500,29,485],104:[694,0,556,25,542],105:[669,0,278,26,255],106:[669,205,306,-55,218],107:[694,0,528,20,511],108:[694,0,278,26,263],109:[442,0,833,25,819],110:[442,0,556,25,542],111:[448,10,500,28,471],112:[442,194,556,20,522],113:[442,194,528,33,535],114:[442,0,392,20,364],115:[448,11,394,33,359],116:[615,10,389,18,333],117:[442,11,556,25,542],118:[431,11,528,19,508],119:[431,11,722,18,703],120:[431,0,528,11,516],121:[431,204,528,19,508],122:[431,0,444,28,401],123:[750,250,500,65,434],124:[750,249,278,119,159],125:[750,250,500,65,434],126:[318,-215,500,83,416],160:[0,0,250,0,0],168:[669,-554,500,95,404],172:[356,-89,667,56,611],175:[590,-544,500,69,430],176:[715,-542,500,147,352],177:[666,0,778,56,722],180:[699,-505,500,203,393],215:[491,-9,778,147,630],247:[537,36,778,56,721],305:[442,0,278,26,255],567:[442,205,306,-55,218],710:[694,-531,500,112,387],711:[644,-513,500,114,385],713:[590,-544,500,69,430],714:[699,-505,500,203,393],715:[699,-505,500,106,295],728:[694,-515,500,92,407],729:[669,-549,500,190,309],732:[668,-565,500,83,416],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677],8194:[0,0,500,0,0],8195:[0,0,999,0,0],8196:[0,0,333,0,0],8197:[0,0,250,0,0],8198:[0,0,167,0,0],8201:[0,0,167,0,0],8202:[0,0,83,0,0],8211:[285,-248,500,0,499],8212:[285,-248,1000,0,999],8216:[694,-379,278,64,198],8217:[694,-379,278,78,212],8220:[694,-379,500,128,466],8221:[694,-379,500,34,372],8224:[705,216,444,55,389],8225:[705,205,444,55,389],8230:[120,0,1172,78,1093],8242:[560,-43,275,30,262],8407:[714,-516,0,-471,-29],8463:[695,13,540,42,562],8465:[705,10,722,55,693],8467:[705,20,417,6,397],8472:[453,216,636,67,625],8476:[716,22,722,40,715],8501:[694,0,611,55,555],8592:[511,11,1000,55,944],8593:[694,193,500,17,483],8594:[511,11,1000,56,944],8595:[694,194,500,17,483],8596:[511,11,1000,55,944],8597:[772,272,500,17,483],8598:[720,195,1000,29,944],8599:[720,195,1000,55,970],8600:[695,220,1000,55,970],8601:[695,220,1000,29,944],8614:[511,11,1000,55,944],8617:[511,11,1126,55,1070],8618:[511,11,1126,55,1070],8636:[511,-230,1000,55,944],8637:[270,11,1000,55,944],8640:[511,-230,1000,56,944],8641:[270,11,1000,56,944],8652:[671,11,1000,55,944],8656:[525,24,1000,56,944],8657:[694,194,611,31,579],8658:[525,24,1000,56,944],8659:[694,194,611,31,579],8660:[526,25,1000,34,966],8661:[772,272,611,31,579],8704:[694,22,556,0,556],8706:[715,22,531,42,566],8707:[694,0,556,56,500],8709:[772,78,500,39,460],8711:[683,33,833,46,786],8712:[540,40,667,84,583],8713:[716,215,667,84,583],8715:[540,40,667,83,582],8722:[270,-230,778,84,694],8723:[500,166,778,56,722],8725:[750,250,500,56,445],8726:[750,250,500,56,444],8727:[465,-35,500,64,435],8728:[444,-55,500,55,444],8729:[444,-55,500,55,444],8730:[800,200,833,72,853],8733:[442,11,778,56,722],8734:[442,11,1000,55,944],8736:[694,0,722,55,666],8739:[750,249,278,119,159],8741:[750,250,500,132,367],8743:[598,22,667,55,611],8744:[598,22,667,55,611],8745:[598,22,667,55,611],8746:[598,22,667,55,611],8747:[716,216,417,55,472],8764:[367,-133,778,55,722],8768:[583,83,278,55,222],8771:[464,-36,778,55,722],8773:[589,-22,1000,55,722],8776:[483,-55,778,55,722],8781:[484,-16,778,55,722],8784:[670,-133,778,56,722],8800:[716,215,778,56,722],8801:[464,-36,778,56,722],8804:[636,138,778,83,694],8805:[636,138,778,83,694],8810:[568,67,1000,56,944],8811:[567,67,1000,55,944],8826:[539,41,778,84,694],8827:[539,41,778,83,694],8834:[540,40,778,84,694],8835:[540,40,778,83,693],8838:[636,138,778,84,694],8839:[636,138,778,83,693],8846:[598,22,667,55,611],8849:[636,138,778,84,714],8850:[636,138,778,64,694],8851:[598,0,667,61,605],8852:[598,0,667,61,605],8853:[583,83,778,56,722],8854:[583,83,778,56,722],8855:[583,83,778,56,722],8856:[583,83,778,56,722],8857:[583,83,778,56,722],8866:[694,0,611,55,555],8867:[694,0,611,55,555],8868:[668,0,778,55,723],8869:[668,0,778,55,723],8872:[750,249,867,119,811],8900:[488,-12,500,12,488],8901:[310,-190,278,78,199],8902:[486,-16,500,3,497],8904:[505,5,900,26,873],8942:[900,30,278,78,199],8943:[310,-190,1172,78,1093],8945:[820,-100,1282,133,1148],8968:[750,250,444,174,422],8969:[750,250,444,21,269],8970:[750,250,444,174,422],8971:[750,250,444,21,269],8994:[388,-122,1000,55,944],8995:[378,-134,1000,55,944],9136:[744,244,412,55,357],9137:[744,244,412,56,357],10216:[750,250,389,110,333],10217:[750,250,389,55,278],10222:[744,244,412,173,357],10223:[744,244,412,56,240],10229:[511,11,1609,55,1525],10230:[511,11,1638,84,1553],10231:[511,11,1859,55,1803],10232:[525,24,1609,56,1553],10233:[525,24,1638,56,1582],10234:[525,24,1858,56,1802],10236:[511,11,1638,55,1553],10815:[683,0,750,28,721],10927:[636,138,778,84,694],10928:[636,138,778,83,694]};i.FONTDATA.FONTS["MathJax_Math-italic"]={directory:"Math/Italic",family:"MathJax_Math",style:"italic",testString:"MathJax Math \u03A5",skew:{65:0.139,66:0.0833,67:0.0833,68:0.0556,69:0.0833,70:0.0833,71:0.0833,72:0.0556,73:0.111,74:0.167,75:0.0556,76:0.0278,77:0.0833,78:0.0833,79:0.0833,80:0.0833,81:0.0833,82:0.0833,83:0.0833,84:0.0833,85:0.0278,88:0.0833,90:0.0833,99:0.0556,100:0.167,101:0.0556,102:0.167,103:0.0278,104:-0.0278,108:0.0833,111:0.0556,112:0.0833,113:0.0833,114:0.0556,115:0.0556,116:0.0833,117:0.0278,118:0.0278,119:0.0833,120:0.0278,121:0.0556,122:0.0556,915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],47:[716,215,778,139,638],65:[716,0,750,35,726],66:[683,0,759,35,756],67:[705,22,715,50,760],68:[683,0,828,33,803],69:[680,0,738,31,764],70:[680,0,643,31,749],71:[705,22,786,50,760],72:[683,0,831,31,888],73:[683,0,440,26,504],74:[683,22,555,57,633],75:[683,0,849,31,889],76:[683,0,681,32,647],77:[683,0,970,35,1051],78:[683,0,803,31,888],79:[704,22,763,50,740],80:[683,0,642,33,751],81:[704,194,791,50,740],82:[683,21,759,33,755],83:[705,22,613,52,645],84:[677,0,584,21,704],85:[683,22,683,60,767],86:[683,22,583,52,769],87:[683,22,944,51,1048],88:[683,0,828,26,852],89:[683,-1,581,30,763],90:[683,0,683,58,723],97:[441,10,529,33,506],98:[694,11,429,40,422],99:[442,11,433,34,429],100:[694,10,520,33,523],101:[442,11,466,39,429],102:[705,205,490,55,550],103:[442,205,477,10,480],104:[694,11,576,48,555],105:[661,11,345,21,302],106:[661,204,412,-12,403],107:[694,11,521,48,503],108:[694,11,298,38,266],109:[442,11,878,21,857],110:[442,11,600,21,580],111:[441,11,485,34,476],112:[442,194,503,-39,497],113:[442,194,446,33,460],114:[442,11,451,21,430],115:[442,10,469,53,419],116:[626,11,361,19,330],117:[442,11,572,21,551],118:[443,11,485,21,467],119:[443,11,716,21,690],120:[442,11,572,35,522],121:[442,205,490,21,496],122:[442,11,465,35,468],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[677,0,742,53,777],928:[680,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]};i.FONTDATA.FONTS.MathJax_Size1={directory:"Size1/Regular",family:"MathJax_Size1",testString:"() [] {}",32:[0,0,250,0,0],40:[850,349,458,152,422],41:[850,349,458,35,305],47:[850,349,578,55,522],91:[850,349,417,202,394],92:[850,349,578,54,522],93:[850,349,417,22,214],123:[850,349,583,105,477],125:[850,349,583,105,477],160:[0,0,250,0,0],710:[744,-551,556,-8,564],732:[722,-597,556,1,554],770:[744,-551,0,-564,8],771:[722,-597,0,-555,-2],8214:[602,0,778,257,521],8593:[600,0,667,112,555],8595:[600,0,667,112,555],8657:[599,0,778,57,721],8659:[600,-1,778,57,721],8719:[750,250,944,55,888],8720:[750,250,944,55,888],8721:[750,250,1056,56,999],8730:[850,350,1000,111,1020],8739:[627,15,333,145,188],8741:[627,15,556,145,410],8747:[805,306,472,55,610],8748:[805,306,819,55,957],8749:[805,306,1166,55,1304],8750:[805,306,472,55,610],8896:[750,249,833,55,777],8897:[750,249,833,55,777],8898:[750,249,833,55,777],8899:[750,249,833,55,777],8968:[850,349,472,202,449],8969:[850,349,472,22,269],8970:[850,349,472,202,449],8971:[850,349,472,22,269],9168:[602,0,667,312,355],10216:[850,350,472,97,394],10217:[850,350,472,77,374],10752:[750,250,1111,56,1054],10753:[750,250,1111,56,1054],10754:[750,250,1111,56,1054],10756:[750,249,833,55,777],10758:[750,249,833,55,777]};i.FONTDATA.FONTS.MathJax_Size2={directory:"Size2/Regular",family:"MathJax_Size2",testString:"() [] {}",32:[0,0,250,0,0],40:[1150,649,597,180,561],41:[1150,649,597,35,416],47:[1150,649,811,56,754],91:[1150,649,472,224,455],92:[1150,649,811,54,754],93:[1150,649,472,16,247],123:[1150,649,667,119,547],125:[1150,649,667,119,547],160:[0,0,250,0,0],710:[772,-565,1000,-5,1004],732:[750,-611,1000,0,999],770:[772,-565,0,-1005,4],771:[750,-611,0,-1000,-1],8719:[950,450,1278,56,1221],8720:[950,450,1278,56,1221],8721:[950,450,1444,55,1388],8730:[1150,650,1000,111,1020],8747:[1360,862,556,55,944],8748:[1360,862,1084,55,1472],8749:[1360,862,1592,55,1980],8750:[1360,862,556,55,944],8896:[950,450,1111,55,1055],8897:[950,450,1111,55,1055],8898:[949,450,1111,55,1055],8899:[950,449,1111,55,1055],8968:[1150,649,528,224,511],8969:[1150,649,528,16,303],8970:[1150,649,528,224,511],8971:[1150,649,528,16,303],10216:[1150,649,611,112,524],10217:[1150,649,611,85,498],10752:[949,449,1511,56,1454],10753:[949,449,1511,56,1454],10754:[949,449,1511,56,1454],10756:[950,449,1111,55,1055],10758:[950,450,1111,55,1055]};i.FONTDATA.FONTS.MathJax_Size3={directory:"Size3/Regular",family:"MathJax_Size3",testString:"() [] {}",32:[0,0,250,0,0],40:[1450,949,736,209,701],41:[1450,949,736,34,526],47:[1450,949,1044,55,989],91:[1450,949,528,247,516],92:[1450,949,1044,56,988],93:[1450,949,528,11,280],123:[1450,949,750,130,618],125:[1450,949,750,131,618],160:[0,0,250,0,0],710:[772,-564,1444,-4,1447],732:[749,-610,1444,1,1442],770:[772,-564,0,-1448,3],771:[749,-610,0,-1443,-2],8730:[1450,950,1000,111,1020],8968:[1450,949,583,246,571],8969:[1450,949,583,11,336],8970:[1450,949,583,246,571],8971:[1450,949,583,11,336],10216:[1450,950,750,126,654],10217:[1450,949,750,94,623]};i.FONTDATA.FONTS.MathJax_Size4={directory:"Size4/Regular",family:"MathJax_Size4",testString:"() [] {}",32:[0,0,250,0,0],40:[1750,1249,792,237,758],41:[1750,1249,792,33,554],47:[1750,1249,1278,56,1221],91:[1750,1249,583,269,577],92:[1750,1249,1278,56,1221],93:[1750,1249,583,5,313],123:[1750,1249,806,144,661],125:[1750,1249,806,144,661],160:[0,0,250,0,0],710:[845,-561,1889,-14,1902],732:[823,-583,1889,1,1885],770:[845,-561,0,-1903,13],771:[823,-583,0,-1888,-4],8730:[1750,1250,1000,111,1020],8968:[1750,1249,639,269,633],8969:[1750,1249,639,5,369],8970:[1750,1249,639,269,633],8971:[1750,1249,639,5,369],9115:[1154,655,875,291,843],9116:[610,10,875,291,417],9117:[1165,644,875,291,843],9118:[1154,655,875,31,583],9119:[610,10,875,457,583],9120:[1165,644,875,31,583],9121:[1154,645,667,319,666],9122:[602,0,667,319,403],9123:[1155,644,667,319,666],9124:[1154,645,667,0,347],9125:[602,0,667,263,347],9126:[1155,644,667,0,347],9127:[899,10,889,384,718],9128:[1160,660,889,170,504],9129:[10,899,889,384,718],9130:[310,10,889,384,504],9131:[899,10,889,170,504],9132:[1160,660,889,384,718],9133:[10,899,889,170,504],9143:[935,885,1056,111,742],10216:[1750,1248,806,140,703],10217:[1750,1248,806,103,665],57344:[625,14,1056,702,742],57345:[605,14,1056,702,1076],57680:[120,213,450,-24,460],57681:[120,213,450,-10,474],57682:[333,0,450,-24,460],57683:[333,0,450,-10,474],57684:[120,0,400,-10,410]};i.FONTDATA.FONTS[m][8722][0]=i.FONTDATA.FONTS[m][43][0];i.FONTDATA.FONTS[m][8722][1]=i.FONTDATA.FONTS[m][43][1];i.FONTDATA.FONTS[m][8942][0]+=400;i.FONTDATA.FONTS[m][8945][0]+=700;i.FONTDATA.FONTS[c][57684][0]+=200;i.FONTDATA.FONTS[c][57684][1]+=200;i.FONTDATA.FONTS[m][8773][2]-=222;i.FONTDATA.FONTS[m][8773][5]={rfix:-222};MathJax.Hub.Register.LoadHook(i.fontDir+"/Main/Bold/MathOperators.js",function(){i.FONTDATA.FONTS[r][8773][2]-=106;i.FONTDATA.FONTS[r][8773][5]={rfix:-106}});MathJax.Hub.Register.LoadHook(i.fontDir+"/Typewriter/Regular/BasicLatin.js",function(){i.FONTDATA.FONTS.MathJax_Typewriter[32][2]+=275;i.FONTDATA.FONTS.MathJax_Typewriter[32][5]={rfix:275}});MathJax.Hub.Register.LoadHook(i.fontDir+"/Typewriter/Regular/Other.js",function(){i.FONTDATA.FONTS.MathJax_Typewriter[160][2]+=275;i.FONTDATA.FONTS.MathJax_Typewriter[160][5]={rfix:275}});MathJax.Hub.Insert(i.FONTDATA.FONTS[m],{61152:[0,0,-575,0,0,{space:1}],61153:[0,0,-300,0,0,{space:1}],61160:[0,0,25,0,0,{space:1}]});if(!i.imgFonts){MathJax.Hub.Browser.Select({MSIE:function(u){if(i.config.availableFonts&&i.config.availableFonts.length){i.FONTDATA.REMAP[713]=175;i.FONTDATA.REMAP[714]=180;i.FONTDATA.REMAP[715]=96;i.FONTDATA.REMAP[730]=176;var t=String.fromCharCode(915)+" "+String.fromCharCode(933)+" "+String.fromCharCode(923);i.FONTDATA.RANGES.push({name:"IEgreek",low:945,high:969,offset:"IEG",add:32});i.FONTDATA.RANGES.push({name:"IEGreek",low:913,high:1014,offset:"IEG"});if(i.Font.testFont({family:"MathJax_Greek",testString:t})){i.Augment({FONTDATA:{VARIANT:{normal:{offsetIEG:913,variantIEG:"-Greek"},fraktur:{offsetIEG:913,variantIEG:"-Greek"},script:{offsetIEG:913,variantIEG:"-Greek"},"-tex-caligraphic":{offsetIEG:913,variantIEG:"-Greek"},"-tex-oldstyle":{offsetIEG:913,variantIEG:"-Greek"},"-Greek":{fonts:["MathJax_Greek"]}}}});i.FONTDATA.FONTS.MathJax_Greek={directory:"Greek/Regular",family:"MathJax_Greek",testString:"\u0393 \u03A5 \u039B",32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677]}}if(i.Font.testFont({family:"MathJax_Greek",weight:"bold",testString:t})){i.Augment({FONTDATA:{VARIANT:{bold:{offsetIEG:913,variantIEG:"-Greek-Bold"},"bold-fraktur":{offsetIEG:913,variantIEG:"-Greek-Bold"},"bold-script":{offsetIEG:913,variantIEG:"-Greek-Bold"},"-Greek-Bold":{fonts:["MathJax_Greek-bold"]}}}});i.FONTDATA.FONTS["MathJax_Greek-bold"]={directory:"Greek/Bold",family:"MathJax_Greek",weight:"bold",testString:"\u0393 \u03A5 \u039B",32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,64,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,1,831,51,779]}}if(i.Font.testFont({family:"MathJax_Greek",style:"italic",testString:t})){i.Augment({FONTDATA:{VARIANT:{italic:{offsetIEG:913,variantIEG:"-Greek-Italic"},"-Greek-Italic":{fonts:["MathJax_Greek-italic"]}}}});i.FONTDATA.FONTS["MathJax_Greek-italic"]={directory:"Greek/Italic",family:"MathJax_Greek",style:"italic",testString:"\u0393 \u03A5 \u039B",skew:{915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[678,0,742,53,777],928:[681,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]}}if(i.Font.testFont({family:"MathJax_Greek",weight:"bold",style:"italic",testString:t})){i.Augment({FONTDATA:{VARIANT:{"bold-italic":{offsetG:913,variantG:"-Greek-Bold-Italic"},"-Greek-Bold-Italic":{fonts:["MathJax_Greek-bold-italic"]}},FONTS:{"MathJax_Greek-bold-italic":"Greek/BoldItalic/Main.js"}}})}}if(i.msieIE6){var w="MathJax_WinIE6";i.FONTDATA.FONTS[w]="WinIE6/Regular/Main.js";i.FONTDATA.RANGES.push({name:"arrows",low:8592,high:8601,offset:"AR"});var v={variant:"-WinIE6",8658:57866,8660:57867,8704:57868,8706:57869,8707:57870,8711:57871,8712:57872,8715:57873,8725:57874,8730:57875,8733:57876,8734:57877,8736:57878,8739:57879,8741:57880,8743:57881,8744:57882,8745:57883,8746:57884,8747:57885,8764:57886,8776:57887,8800:57888,8801:57889,8804:57890,8805:57891,8810:57892,8811:57893,8834:57894,8835:57895,8838:57896,8839:57897,8853:57898,8857:57899,8869:57900,9651:57901,9661:57902,9711:57903,9824:57904,9825:57905,9826:57906,9827:57907,9837:57908,9838:57909,9839:57910,8806:58053,8807:58054,8814:58055,8815:58056,8988:58058,8989:58059,8990:58060,8991:58061,9484:58058,9488:58059,9492:58060,9496:58061,9585:58062,9586:58063,9632:58064,9633:58065,9650:58066,9654:58068,9660:58069,9661:58070,9664:58071,9674:58072,8756:58073,8757:58074,8786:58075,9733:58076,8765:58077};var y={variant:"-WinIE6",8658:57930,8660:57931,8704:57932,8706:57933,8707:57934,8711:57935,8712:57936,8715:57937,8725:57938,8730:57939,8733:57940,8734:57941,8736:57942,8739:57943,8741:57944,8743:57945,8744:57946,8745:57947,8746:57948,8747:57949,8764:57950,8776:57951,8800:57952,8801:57953,8804:57954,8805:57955,8810:57956,8811:57957,8834:57958,8835:57959,8838:57960,8839:57961,8853:57962,8857:57963,8869:57964,9651:57965,9661:57966,9711:57967,9824:57968,9825:57969,9826:57970,9827:57971,9837:57972,9838:57973,9839:57974,8806:58053,8807:58054,8814:58055,8815:58056,8988:58058,8989:58059,8990:58060,8991:58061,9484:58058,9488:58059,9492:58060,9496:58061,9585:58062,9586:58063,9632:58064,9633:58065,9650:58066,9654:58068,9660:58069,9661:58070,9664:58071,9674:58072,8756:58073,8757:58074,8786:58075,9733:58076,8765:58077};var s={offsetAR:57856,variantAR:"-WinIE6",remap:v};var x={offsetAR:57920,variantAR:"-WinIE6",remap:y};i.Augment({FONTDATA:{VARIANT:{normal:s,bold:x,italic:s,"bold-italic":x,"-TeX-variant":{remap:{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]}},"-largeOp":{fonts:[w,f,g,m],remap:{8719:58000,8721:58001,8747:58005,8750:58006}},"-smallOp":{fonts:[w,g,m],remap:{8719:57984,8721:57985,8747:57989,8750:57990}},"-WinIE6":{fonts:[w]}},DELIMITERS:{8730:{HW:{0:[1,w,null,57875],1:[1.2,w,null,57986],2:[1.8,w,null,58002],3:[2.4,w,null,58018],4:[3,w,null,58034]}},124:{stretch:{ext:[57879,w]}},8739:{HW:{0:[1,w,null,57879]},stretch:{ext:[57879,w]}},9168:{HW:{1:[1,w,null,57879]},stretch:{ext:[57879,w]}},8741:{HW:{0:[1,w,null,57880]},stretch:{ext:[57880,w]}},8592:{HW:{0:[0.889,w,null,57856]},stretch:{left:[57856,w]}},8593:{HW:{0:[0.888,w,null,57857]},stretch:{top:[57991,w],ext:[57993,w]}},8594:{HW:{0:[0.889,w,null,57858]},stretch:{right:[57858,w]}},8595:{HW:{0:[0.888,w,null,57859]},stretch:{bot:[57992,w],ext:[57993,w]}},8596:{HW:{0:[1,w,null,57860]},stretch:{left:[57856,w],right:[57858,w]}},8597:{HW:{0:[1.044,w,null,57859]},stretch:{top:[57991,w],bot:[57992,w],ext:[57993,w]}}}}})}},Chrome:function(t){if(t.isPC&&navigator.userAgent.match(/Windows NT (5|6.0)/)){i.Augment({FONTDATA:{REMAP:{824:"\uEEE0/\uEEE8"},REMAPACCENT:{"\u0307":".","\u030B":"\u00B4\uEEE1\u00B4","\u20D7":"\u2192"}}});delete i.FONTDATA.REMAPACCENT["\u2192"]}if(t.isPC&&!MathJax.Hub.Browser.versionAtLeast("5.0")){var s="-WinChrome";i.Augment({FONTDATA:{VARIANT:{normal:{remap:{62:[62,s]}},bold:{remap:{58097:[62,s]}},italic:{remap:{100:[100,s]}},"-tex-caligraphic":{remap:{84:[84,s]}},"-tex-caligraphic-bold":{remap:{84:[58096,s]}},"-largeOp":{remap:{10752:[10752,s]}},"-smallOp":{remap:{8899:[8899,s]}},"-WinChrome":{fonts:["MathJax_WinChrome"]}},DELIMITERS:{93:{stretch:{bot:[9126,"MathJax_WinChrome"]}},8971:{stretch:{bot:[9126,"MathJax_WinChrome"]}}}}});i.FONTDATA.FONTS.MathJax_WinChrome={directory:"WinChrome/Regular",family:"MathJax_WinChrome",testString:"> T d \u23A6 \u2A00",skew:{84:0.0278,58096:0.0319},32:[0,0,250,0,0],62:[540,40,778,83,694],84:[717,68,545,34,833],100:[694,11,511,101,567],160:[0,0,250,0,0],8899:[750,249,833,55,777],9126:[1155,644,667,0,347],10752:[949,449,1511,56,1454],58096:[720,69,644,38,947],58097:[587,85,894,96,797]}}}})}(function(){var v=i.FONTDATA.FONTS,u=i.config.availableFonts;var t,s=[];if(i.allowWebFonts){for(t in v){if(v[t].family){if(u&&u.length&&i.Font.testFont(v[t])){v[t].available=true;i.Font.loadComplete(v[t])}else{v[t].isWebFont=true;if(i.FontFaceBug){v[t].family=t}s.push(i.Font.fontFace(t))}}}if(!i.config.preloadWebFonts){i.config.preloadWebFonts=[]}i.config.preloadWebFonts.push(m,o,g);if(s.length){i.config.styles["@font-face"]=s}}else{if(u&&u.length){for(t in v){if(v[t].family&&i.Font.testFont(v[t])){v[t].available=true;i.Font.loadComplete(v[t])}}}}})();q.loadComplete(i.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
+(function(i,b,q){var p="2.7.9";var m="MathJax_Main",r="MathJax_Main-bold",o="MathJax_Math-italic",h="MathJax_AMS",g="MathJax_Size1",f="MathJax_Size2",e="MathJax_Size3",c="MathJax_Size4";var j="H",a="V",l={load:"extra",dir:j},d={load:"extra",dir:a};var k=[8722,m,0,0,0,-0.31,-0.31];var n=[61,m,0,0,0,0,0.1];i.Augment({FONTDATA:{version:p,TeX_factor:1,baselineskip:1.2,lineH:0.8,lineD:0.2,hasStyleChar:true,FONTS:{MathJax_Main:"Main/Regular/Main.js","MathJax_Main-bold":"Main/Bold/Main.js","MathJax_Main-italic":"Main/Italic/Main.js","MathJax_Math-italic":"Math/Italic/Main.js","MathJax_Math-bold-italic":"Math/BoldItalic/Main.js",MathJax_Caligraphic:"Caligraphic/Regular/Main.js",MathJax_Size1:"Size1/Regular/Main.js",MathJax_Size2:"Size2/Regular/Main.js",MathJax_Size3:"Size3/Regular/Main.js",MathJax_Size4:"Size4/Regular/Main.js",MathJax_AMS:"AMS/Regular/Main.js",MathJax_Fraktur:"Fraktur/Regular/Main.js","MathJax_Fraktur-bold":"Fraktur/Bold/Main.js",MathJax_SansSerif:"SansSerif/Regular/Main.js","MathJax_SansSerif-bold":"SansSerif/Bold/Main.js","MathJax_SansSerif-italic":"SansSerif/Italic/Main.js",MathJax_Script:"Script/Regular/Main.js",MathJax_Typewriter:"Typewriter/Regular/Main.js","MathJax_Caligraphic-bold":"Caligraphic/Bold/Main.js"},VARIANT:{normal:{fonts:[m,g,h],offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,8214:8741,8726:[8726,"-TeX-variant"],8463:[8463,"-TeX-variant"],8242:[39,"sans-serif-italic"],10744:[47,b.VARIANT.ITALIC]}},bold:{fonts:[r,g,h],bold:true,offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],8214:8741,8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[o,"MathJax_Main-italic",m,g,h],italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-bold-italic",r,g,h],bold:true,italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[h,m]},fraktur:{fonts:["MathJax_Fraktur",m,g,h]},"bold-fraktur":{fonts:["MathJax_Fraktur-bold",r,g,h],bold:true},script:{fonts:["MathJax_Script",m,g,h]},"bold-script":{fonts:["MathJax_Script",r,g,h],bold:true},"sans-serif":{fonts:["MathJax_SansSerif",m,g,h]},"bold-sans-serif":{fonts:["MathJax_SansSerif-bold",r,g,h],bold:true},"sans-serif-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,h],italic:true},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,h],bold:true,italic:true},monospace:{fonts:["MathJax_Typewriter",m,g,h]},"-tex-caligraphic":{fonts:["MathJax_Caligraphic",m],offsetA:65,variantA:"italic"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic",m]},"-tex-mathit":{fonts:["MathJax_Main-italic",o,m,g,h],italic:true,noIC:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[h,m,g],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,b.VARIANT.NORMAL],8463:[8463,b.VARIANT.NORMAL]}},"-largeOp":{fonts:[f,g,m]},"-smallOp":{fonts:[g,m]},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true,offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],RULECHAR:8722,REMAP:{10:32,8254:713,8400:8636,8401:8640,8406:8592,8417:8596,8428:8641,8429:8637,8430:8592,8431:8594,8432:42,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,b.VARIANT.DOUBLESTRUCK],8459:[72,b.VARIANT.SCRIPT],8460:[72,b.VARIANT.FRAKTUR],8461:[72,b.VARIANT.DOUBLESTRUCK],8462:[104,b.VARIANT.ITALIC],8464:[74,b.VARIANT.SCRIPT],8465:[73,b.VARIANT.FRAKTUR],8466:[76,b.VARIANT.SCRIPT],8469:[78,b.VARIANT.DOUBLESTRUCK],8473:[80,b.VARIANT.DOUBLESTRUCK],8474:[81,b.VARIANT.DOUBLESTRUCK],8475:[82,b.VARIANT.SCRIPT],8476:[82,b.VARIANT.FRAKTUR],8477:[82,b.VARIANT.DOUBLESTRUCK],8484:[90,b.VARIANT.DOUBLESTRUCK],8486:[937,b.VARIANT.NORMAL],8488:[90,b.VARIANT.FRAKTUR],8492:[66,b.VARIANT.SCRIPT],8493:[67,b.VARIANT.FRAKTUR],8496:[69,b.VARIANT.SCRIPT],8497:[70,b.VARIANT.SCRIPT],8499:[77,b.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",8411:"...",8412:"...."},REMAPACCENT:{"\u2192":"\u20D7","\u2032":"'","\u2035":"`"},REMAPACCENTUNDER:{},PLANE1MAP:[[119808,119833,65,b.VARIANT.BOLD],[119834,119859,97,b.VARIANT.BOLD],[119860,119885,65,b.VARIANT.ITALIC],[119886,119911,97,b.VARIANT.ITALIC],[119912,119937,65,b.VARIANT.BOLDITALIC],[119938,119963,97,b.VARIANT.BOLDITALIC],[119964,119989,65,b.VARIANT.SCRIPT],[120068,120093,65,b.VARIANT.FRAKTUR],[120094,120119,97,b.VARIANT.FRAKTUR],[120120,120145,65,b.VARIANT.DOUBLESTRUCK],[120172,120197,65,b.VARIANT.BOLDFRAKTUR],[120198,120223,97,b.VARIANT.BOLDFRAKTUR],[120224,120249,65,b.VARIANT.SANSSERIF],[120250,120275,97,b.VARIANT.SANSSERIF],[120276,120301,65,b.VARIANT.BOLDSANSSERIF],[120302,120327,97,b.VARIANT.BOLDSANSSERIF],[120328,120353,65,b.VARIANT.SANSSERIFITALIC],[120354,120379,97,b.VARIANT.SANSSERIFITALIC],[120432,120457,65,b.VARIANT.MONOSPACE],[120458,120483,97,b.VARIANT.MONOSPACE],[120488,120513,913,b.VARIANT.BOLD],[120546,120570,913,b.VARIANT.ITALIC],[120572,120603,945,b.VARIANT.ITALIC],[120604,120628,913,b.VARIANT.BOLDITALIC],[120630,120661,945,b.VARIANT.BOLDITALIC],[120662,120686,913,b.VARIANT.BOLDSANSSERIF],[120720,120744,913,b.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,b.VARIANT.BOLD],[120802,120811,48,b.VARIANT.SANSSERIF],[120812,120821,48,b.VARIANT.BOLDSANSSERIF],[120822,120831,48,b.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(v,u){for(var t=0,s=this.PLANE1MAP.length;t<s;t++){if(v<this.PLANE1MAP[t][0]){break}if(v<=this.PLANE1MAP[t][1]){v=v-this.PLANE1MAP[t][0]+this.PLANE1MAP[t][2];if(this.REMAPGREEK[v]){v=this.REMAPGREEK[v]}u=this.VARIANT[this.PLANE1MAP[t][3]];break}}return{n:v,variant:u}},DELIMITERS:{40:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9115,c],ext:[9116,c],bot:[9117,c]}},41:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9118,c],ext:[9119,c],bot:[9120,c]}},47:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]]},91:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9121,c],ext:[9122,c],bot:[9123,c]}},92:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]]},93:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9124,c],ext:[9125,c],bot:[9126,c]}},123:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9127,c],mid:[9128,c],bot:[9129,c],ext:[9130,c]}},124:{dir:a,HW:[[1,m]],stretch:{ext:[8739,m]}},125:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9131,c],mid:[9132,c],bot:[9133,c],ext:[9130,c]}},175:{dir:j,HW:[[0.59,m]],stretch:{rep:[175,m]}},710:{dir:j,HW:[[0.267+0.25,m],[0.567+0.25,g],[1.005+0.33,f],[1.447+0.33,e],[1.909,c]]},732:{dir:j,HW:[[0.333+0.25,m],[0.555+0.25,g],[1+0.33,f],[1.443+0.33,e],[1.887,c]]},8211:{dir:j,HW:[[0.5,m]],stretch:{rep:[8211,m]}},8214:{dir:a,HW:[[0.602,g],[1,m,null,8741]],stretch:{ext:[8741,m]}},8592:{dir:j,HW:[[1,m]],stretch:{left:[8592,m],rep:k}},8593:{dir:a,HW:[[0.888,m]],stretch:{top:[8593,g],ext:[9168,g]}},8594:{dir:j,HW:[[1,m]],stretch:{rep:k,right:[8594,m]}},8595:{dir:a,HW:[[0.888,m]],stretch:{ext:[9168,g],bot:[8595,g]}},8596:{dir:j,HW:[[1,m]],stretch:{left:[8592,m],rep:k,right:[8594,m]}},8597:{dir:a,HW:[[1.044,m]],stretch:{top:[8593,g],ext:[9168,g],bot:[8595,g]}},8656:{dir:j,HW:[[1,m]],stretch:{left:[8656,m],rep:n}},8657:{dir:a,HW:[[0.888,m]],stretch:{top:[8657,g],ext:[8214,g]}},8658:{dir:j,HW:[[1,m]],stretch:{rep:n,right:[8658,m]}},8659:{dir:a,HW:[[0.888,m]],stretch:{ext:[8214,g],bot:[8659,g]}},8660:{dir:j,HW:[[1,m]],stretch:{left:[8656,m],rep:n,right:[8658,m]}},8661:{dir:a,HW:[[1.044,m]],stretch:{top:[8657,g],ext:[8214,g],bot:[8659,g]}},8722:{dir:j,HW:[[0.5,m,0,8211]],stretch:{rep:k}},8730:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[57345,c],ext:[57344,c],bot:[9143,c],fullExtenders:true}},8739:{dir:a,HW:[[1,m]],stretch:{ext:[8739,m]}},8741:{dir:a,HW:[[1,m]],stretch:{ext:[8741,m]}},8968:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9121,c],ext:[9122,c]}},8969:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{top:[9124,c],ext:[9125,c]}},8970:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{ext:[9122,c],bot:[9123,c]}},8971:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]],stretch:{ext:[9125,c],bot:[9126,c]}},9130:{dir:a,HW:[[0.32,c]],stretch:{top:[9130,c],ext:[9130,c],bot:[9130,c]}},9136:{dir:a,HW:[[0.989,m]],stretch:{top:[9127,c],ext:[9130,c],bot:[9133,c]}},9137:{dir:a,HW:[[0.989,m]],stretch:{top:[9131,c],ext:[9130,c],bot:[9129,c]}},9168:{dir:a,HW:[[0.602,g],[1,m,null,8739]],stretch:{ext:[8739,m]}},9182:{dir:j,HW:[],stretch:{min:0.9,left:[57680,c],mid:[[57683,57682],c],right:[57681,c],rep:[57684,c]}},9183:{dir:j,HW:[],stretch:{min:0.9,left:[57682,c],mid:[[57681,57680],c],right:[57683,c],rep:[57684,c]}},10216:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]]},10217:{dir:a,HW:[[1,m],[1.2,g],[1.8,f],[2.4,e],[3,c]]},10222:{dir:a,HW:[[0.989,m]],stretch:{top:[9127,c],ext:[9130,c],bot:[9129,c]}},10223:{dir:a,HW:[[0.989,m]],stretch:{top:[9131,c],ext:[9130,c],bot:[9133,c]}},45:{alias:8722,dir:j},94:{alias:710,dir:j},95:{alias:8211,dir:j},126:{alias:732,dir:j},713:{alias:175,dir:j},770:{alias:710,dir:j},771:{alias:732,dir:j},780:{alias:711,dir:j},818:{alias:8211,dir:j},8212:{alias:8211,dir:j},8213:{alias:8211,dir:j},8215:{alias:8211,dir:j},8254:{alias:175,dir:j},8407:{alias:8594,dir:j},8725:{alias:47,dir:a},9001:{alias:10216,dir:a},9002:{alias:10217,dir:a},9135:{alias:8211,dir:j},9472:{alias:8211,dir:j},10072:{alias:8739,dir:a},12296:{alias:10216,dir:a},12297:{alias:10217,dir:a},65079:{alias:9182,dir:j},65080:{alias:9183,dir:j},61:l,8606:l,8608:l,8612:l,8613:d,8614:l,8615:d,8624:d,8625:d,8636:l,8637:l,8638:d,8639:d,8640:l,8641:l,8642:d,8643:d,8666:l,8667:l,9140:l,9141:l,9180:l,9181:l,9184:l,9185:l,10502:l,10503:l,10574:l,10575:d,10576:l,10577:d,10586:l,10587:l,10588:d,10589:d,10590:l,10591:l,10592:d,10593:d,8978:{alias:9180,dir:j},8994:{alias:9180,dir:j},8995:{alias:9181,dir:j},10229:{alias:8592,dir:j},10230:{alias:8594,dir:j},10231:{alias:8596,dir:j},10232:{alias:8656,dir:j},10233:{alias:8658,dir:j},10234:{alias:8660,dir:j},10235:{alias:8612,dir:j},10236:{alias:8614,dir:j},10237:{alias:10502,dir:j},10238:{alias:10503,dir:j}}}});i.Font.oldLoadComplete=i.Font.loadComplete;i.Font.loadComplete=function(u,v,t,s){if(v!=null){this.oldLoadComplete(u,v,t,s)}if(u.family===g||u.family===f){if(u.version===1){i.FONTDATA.VARIANT["-largeOp"].remap={8898:8899,8899:8898};i.FONTDATA.VARIANT["-smallOp"].remap={8898:8899,8899:8898}}}};i.FONTDATA.FONTS.MathJax_Caligraphic={directory:"Caligraphic/Regular",family:"MathJax_Caligraphic",testString:"MATHJAX CALIGRAPHIC",skew:{65:0.194,66:0.139,67:0.139,68:0.0833,69:0.111,70:0.111,71:0.111,72:0.111,73:0.0278,74:0.167,75:0.0556,76:0.139,77:0.139,78:0.0833,79:0.111,80:0.0833,81:0.111,82:0.0833,83:0.139,84:0.0278,85:0.0833,86:0.0278,87:0.0833,88:0.139,89:0.0833,90:0.139},32:[0,0,250,0,0],48:[452,22,500,39,460],49:[453,0,500,86,426],50:[453,0,500,44,449],51:[452,216,500,42,456],52:[464,194,500,28,471],53:[453,216,500,50,448],54:[665,22,500,42,456],55:[463,216,500,55,485],56:[666,21,500,43,456],57:[453,216,500,42,457],65:[728,50,798,30,819],66:[705,22,657,32,664],67:[705,25,527,12,533],68:[683,0,771,19,766],69:[705,22,528,30,564],70:[683,32,719,18,829],71:[704,119,595,44,599],72:[683,48,845,18,803],73:[683,0,545,-30,642],74:[683,119,678,47,839],75:[705,22,762,32,732],76:[705,22,690,32,656],77:[705,50,1201,28,1137],78:[789,50,820,-27,979],79:[705,22,796,58,777],80:[683,57,696,19,733],81:[705,131,817,114,787],82:[682,22,848,19,837],83:[705,22,606,18,642],84:[717,68,545,34,833],85:[683,28,626,-17,687],86:[683,52,613,25,658],87:[683,53,988,25,1034],88:[683,0,713,52,807],89:[683,143,668,31,714],90:[683,0,725,37,767],160:[0,0,250,0,0]};i.FONTDATA.FONTS["MathJax_Main-bold"]={directory:"Main/Bold",family:"MathJax_Main",weight:"bold",testString:"MathJax Main ^ \u210F \u2223",skew:{305:0.0319,567:0.0958,8463:-0.0319,8467:0.128,8706:0.0958},Ranges:[[160,255,"Latin1Supplement"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[8192,8303,"GeneralPunctuation"],[8400,8447,"CombDiactForSymbols"],[8448,8527,"LetterlikeSymbols"],[8592,8703,"Arrows"],[8704,8959,"MathOperators"],[8960,9215,"MiscTechnical"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10176,10223,"MiscMathSymbolsA"],[10224,10239,"SupplementalArrowsA"],[10752,11007,"SuppMathOperators"]],32:[0,0,250,0,0],33:[705,-1,350,89,260],34:[694,-329,603,38,492],35:[694,193,958,64,893],36:[750,56,575,64,510],37:[750,56,958,65,893],38:[705,11,894,48,836],39:[694,-329,319,74,261],40:[750,249,447,103,382],41:[750,249,447,64,343],42:[750,-306,575,73,501],43:[633,131,894,64,829],44:[171,194,319,74,258],45:[278,-166,383,13,318],46:[171,-1,319,74,245],47:[750,250,575,63,511],48:[654,10,575,45,529],49:[655,0,575,80,494],50:[654,0,575,57,517],51:[655,11,575,47,526],52:[656,0,575,32,542],53:[655,11,575,57,517],54:[655,11,575,48,526],55:[676,11,575,64,558],56:[654,11,575,48,526],57:[654,11,575,48,526],58:[444,-1,319,74,245],59:[444,194,319,74,248],60:[587,85,894,96,797],61:[393,-109,894,64,829],62:[587,85,894,96,797],63:[700,-1,543,65,478],64:[699,6,894,64,829],65:[698,0,869,40,828],66:[686,0,818,39,752],67:[697,11,831,64,766],68:[686,0,882,39,817],69:[680,0,756,39,723],70:[680,0,724,39,675],71:[697,10,904,64,845],72:[686,0,900,39,860],73:[686,0,436,25,410],74:[686,11,594,8,527],75:[686,0,901,39,852],76:[686,0,692,39,643],77:[686,0,1092,39,1052],78:[686,0,900,39,860],79:[696,10,864,64,798],80:[686,0,786,39,721],81:[696,193,864,64,805],82:[686,11,862,39,858],83:[697,11,639,64,574],84:[675,0,800,41,758],85:[686,11,885,39,845],86:[686,7,869,25,843],87:[686,7,1189,24,1164],88:[686,0,869,33,835],89:[686,0,869,19,849],90:[686,0,703,64,645],91:[750,250,319,128,293],92:[750,250,575,63,511],93:[750,250,319,25,190],94:[694,-520,575,126,448],95:[-10,61,575,0,574],96:[706,-503,575,114,338],97:[453,6,559,32,558],98:[694,6,639,29,600],99:[453,6,511,39,478],100:[694,6,639,38,609],101:[452,6,527,32,494],102:[700,0,351,40,452],103:[455,201,575,30,558],104:[694,0,639,37,623],105:[695,0,319,40,294],106:[695,200,351,-71,274],107:[694,0,607,29,587],108:[694,0,319,40,301],109:[450,0,958,37,942],110:[450,0,639,37,623],111:[452,5,575,32,542],112:[450,194,639,29,600],113:[450,194,607,38,609],114:[450,0,474,29,442],115:[453,6,454,38,414],116:[635,5,447,21,382],117:[450,6,639,37,623],118:[444,3,607,26,580],119:[444,4,831,25,805],120:[444,0,607,21,586],121:[444,200,607,23,580],122:[444,0,511,32,462],123:[750,250,575,70,504],124:[750,249,319,129,190],125:[750,250,575,70,504],126:[344,-202,575,96,478],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,63,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,0,831,51,779]};i.FONTDATA.FONTS["MathJax_Main-italic"]={directory:"Main/Italic",family:"MathJax_Main",style:"italic",testString:"MathJax Main ^ \u210F \u2223",Ranges:[[160,255,"Latin1Supplement"],[768,879,"CombDiacritMarks"],[8192,8303,"GeneralPunctuation"],[8448,8527,"LetterlikeSymbols"]],32:[0,0,250,0,0],33:[716,0,307,107,380],34:[694,-379,514,176,538],35:[694,194,818,115,828],37:[750,56,818,145,847],38:[716,22,767,127,802],39:[694,-379,307,213,377],40:[750,250,409,144,517],41:[750,250,409,17,390],42:[750,-320,511,195,584],43:[557,57,767,139,753],44:[121,194,307,69,232],45:[251,-180,358,84,341],46:[121,0,307,107,231],47:[750,250,511,19,617],48:[665,21,511,110,562],49:[666,0,511,110,468],50:[666,22,511,76,551],51:[666,22,511,96,562],52:[666,194,511,46,478],53:[666,22,511,106,567],54:[665,22,511,120,565],55:[666,22,511,136,634],56:[666,21,511,99,553],57:[666,22,511,107,553],58:[431,0,307,107,308],59:[431,194,307,70,308],61:[367,-133,767,116,776],63:[716,0,511,195,551],64:[705,11,767,152,789],65:[716,0,743,58,696],66:[683,0,704,57,732],67:[705,21,716,150,812],68:[683,0,755,56,775],69:[680,0,678,54,743],70:[680,-1,653,54,731],71:[705,22,774,150,812],72:[683,0,743,54,860],73:[683,0,386,49,508],74:[683,21,525,78,622],75:[683,0,769,54,859],76:[683,0,627,54,628],77:[683,0,897,58,1010],78:[683,0,743,54,860],79:[704,22,767,149,788],80:[683,0,678,55,729],81:[704,194,767,149,788],82:[683,22,729,55,723],83:[705,22,562,74,633],84:[677,0,716,171,806],85:[683,22,743,194,860],86:[683,22,743,205,868],87:[683,22,999,205,1124],88:[683,0,743,50,825],89:[683,0,743,198,875],90:[683,0,613,80,704],91:[750,250,307,73,446],93:[750,250,307,-14,359],94:[694,-527,511,260,528],95:[-25,62,511,91,554],97:[442,11,511,101,543],98:[694,11,460,108,467],99:[441,10,460,103,469],100:[694,11,511,101,567],101:[442,10,460,107,470],102:[705,204,307,-23,450],103:[442,205,460,46,494],104:[694,11,511,69,544],105:[656,10,307,75,340],106:[656,204,307,-32,364],107:[694,11,460,69,498],108:[694,11,256,87,312],109:[442,11,818,75,851],110:[442,11,562,75,595],111:[442,11,511,103,517],112:[442,194,511,6,518],113:[442,194,460,101,504],114:[442,11,422,75,484],115:[442,11,409,76,418],116:[626,11,332,87,373],117:[441,11,537,75,570],118:[443,10,460,75,492],119:[443,11,664,75,696],120:[442,11,464,58,513],121:[441,205,486,75,522],122:[442,11,409,54,466],126:[318,-208,511,246,571],163:[714,11,769,88,699],305:[441,10,307,75,340],567:[442,204,332,-32,327],915:[680,0,627,54,705],916:[716,0,818,70,751],920:[704,22,767,149,788],923:[716,0,692,58,646],926:[677,0,664,74,754],928:[680,0,743,54,859],931:[683,0,716,80,782],933:[705,0,767,213,832],934:[683,0,716,159,728],936:[683,0,767,207,824],937:[705,0,716,100,759]};i.FONTDATA.FONTS.MathJax_Main={directory:"Main/Regular",family:"MathJax_Main",testString:"MathJax Main ^ \u210F \u2223",skew:{305:0.0278,567:0.0833,8467:0.111,8472:0.111,8706:0.0833},Ranges:[[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"]],32:[0,0,250,0,0],33:[716,-1,278,78,199],34:[694,-379,500,34,372],35:[694,194,833,56,777],36:[750,56,500,55,444],37:[750,56,833,56,776],38:[716,22,778,42,727],39:[694,-379,278,78,212],40:[750,250,389,94,333],41:[750,250,389,55,294],42:[750,-320,500,64,435],43:[583,82,778,56,722],44:[121,194,278,78,210],45:[252,-179,333,11,277],46:[120,0,278,78,199],47:[750,250,500,56,445],48:[666,22,500,39,460],49:[666,0,500,83,427],50:[666,0,500,50,449],51:[665,22,500,42,457],52:[677,0,500,28,471],53:[666,22,500,50,449],54:[666,22,500,42,456],55:[676,22,500,55,485],56:[666,22,500,43,457],57:[666,22,500,42,456],58:[430,0,278,78,199],59:[430,194,278,78,202],60:[540,40,778,83,694],61:[367,-133,778,56,722],62:[540,40,778,83,694],63:[705,-1,472,55,416],64:[705,11,778,56,722],65:[716,0,750,32,717],66:[683,0,708,28,651],67:[705,21,722,56,666],68:[683,0,764,27,708],69:[680,0,681,25,652],70:[680,0,653,25,610],71:[705,22,785,56,735],72:[683,0,750,25,724],73:[683,0,361,21,339],74:[683,22,514,25,465],75:[683,0,778,25,736],76:[683,0,625,25,582],77:[683,0,917,29,887],78:[683,0,750,25,724],79:[705,22,778,56,722],80:[683,0,681,27,624],81:[705,193,778,56,728],82:[683,22,736,27,732],83:[705,22,556,55,500],84:[677,0,722,36,685],85:[683,22,750,25,724],86:[683,22,750,19,730],87:[683,22,1028,18,1009],88:[683,0,750,23,726],89:[683,0,750,11,738],90:[683,0,611,55,560],91:[750,250,278,118,255],92:[750,250,500,56,444],93:[750,250,278,22,159],94:[694,-531,500,112,387],95:[-25,62,500,0,499],96:[699,-505,500,106,295],97:[448,11,500,34,493],98:[694,11,556,20,522],99:[448,11,444,34,415],100:[694,11,556,34,535],101:[448,11,444,28,415],102:[705,0,306,26,372],103:[453,206,500,29,485],104:[694,0,556,25,542],105:[669,0,278,26,255],106:[669,205,306,-55,218],107:[694,0,528,20,511],108:[694,0,278,26,263],109:[442,0,833,25,819],110:[442,0,556,25,542],111:[448,10,500,28,471],112:[442,194,556,20,522],113:[442,194,528,33,535],114:[442,0,392,20,364],115:[448,11,394,33,359],116:[615,10,389,18,333],117:[442,11,556,25,542],118:[431,11,528,19,508],119:[431,11,722,18,703],120:[431,0,528,11,516],121:[431,204,528,19,508],122:[431,0,444,28,401],123:[750,250,500,65,434],124:[750,249,278,119,159],125:[750,250,500,65,434],126:[318,-215,500,83,416],160:[0,0,250,0,0],168:[669,-554,500,95,404],172:[356,-89,667,56,611],175:[590,-544,500,69,430],176:[715,-542,500,147,352],177:[666,0,778,56,722],180:[699,-505,500,203,393],215:[491,-9,778,147,630],247:[537,36,778,56,721],305:[442,0,278,26,255],567:[442,205,306,-55,218],710:[694,-531,500,112,387],711:[644,-513,500,114,385],713:[590,-544,500,69,430],714:[699,-505,500,203,393],715:[699,-505,500,106,295],728:[694,-515,500,92,407],729:[669,-549,500,190,309],732:[668,-565,500,83,416],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677],8194:[0,0,500,0,0],8195:[0,0,999,0,0],8196:[0,0,333,0,0],8197:[0,0,250,0,0],8198:[0,0,167,0,0],8201:[0,0,167,0,0],8202:[0,0,83,0,0],8211:[285,-248,500,0,499],8212:[285,-248,1000,0,999],8216:[694,-379,278,64,198],8217:[694,-379,278,78,212],8220:[694,-379,500,128,466],8221:[694,-379,500,34,372],8224:[705,216,444,55,389],8225:[705,205,444,55,389],8230:[120,0,1172,78,1093],8242:[560,-43,275,30,262],8407:[714,-516,0,-471,-29],8463:[695,13,540,42,562],8465:[705,10,722,55,693],8467:[705,20,417,6,397],8472:[453,216,636,67,625],8476:[716,22,722,40,715],8501:[694,0,611,55,555],8592:[511,11,1000,55,944],8593:[694,193,500,17,483],8594:[511,11,1000,56,944],8595:[694,194,500,17,483],8596:[511,11,1000,55,944],8597:[772,272,500,17,483],8598:[720,195,1000,29,944],8599:[720,195,1000,55,970],8600:[695,220,1000,55,970],8601:[695,220,1000,29,944],8614:[511,11,1000,55,944],8617:[511,11,1126,55,1070],8618:[511,11,1126,55,1070],8636:[511,-230,1000,55,944],8637:[270,11,1000,55,944],8640:[511,-230,1000,56,944],8641:[270,11,1000,56,944],8652:[671,11,1000,55,944],8656:[525,24,1000,56,944],8657:[694,194,611,31,579],8658:[525,24,1000,56,944],8659:[694,194,611,31,579],8660:[526,25,1000,34,966],8661:[772,272,611,31,579],8704:[694,22,556,0,556],8706:[715,22,531,42,566],8707:[694,0,556,56,500],8709:[772,78,500,39,460],8711:[683,33,833,46,786],8712:[540,40,667,84,583],8713:[716,215,667,84,583],8715:[540,40,667,83,582],8722:[270,-230,778,84,694],8723:[500,166,778,56,722],8725:[750,250,500,56,445],8726:[750,250,500,56,444],8727:[465,-35,500,64,435],8728:[444,-55,500,55,444],8729:[444,-55,500,55,444],8730:[800,200,833,72,853],8733:[442,11,778,56,722],8734:[442,11,1000,55,944],8736:[694,0,722,55,666],8739:[750,249,278,119,159],8741:[750,250,500,132,367],8743:[598,22,667,55,611],8744:[598,22,667,55,611],8745:[598,22,667,55,611],8746:[598,22,667,55,611],8747:[716,216,417,55,472],8764:[367,-133,778,55,722],8768:[583,83,278,55,222],8771:[464,-36,778,55,722],8773:[589,-22,1000,55,722],8776:[483,-55,778,55,722],8781:[484,-16,778,55,722],8784:[670,-133,778,56,722],8800:[716,215,778,56,722],8801:[464,-36,778,56,722],8804:[636,138,778,83,694],8805:[636,138,778,83,694],8810:[568,67,1000,56,944],8811:[567,67,1000,55,944],8826:[539,41,778,84,694],8827:[539,41,778,83,694],8834:[540,40,778,84,694],8835:[540,40,778,83,693],8838:[636,138,778,84,694],8839:[636,138,778,83,693],8846:[598,22,667,55,611],8849:[636,138,778,84,714],8850:[636,138,778,64,694],8851:[598,0,667,61,605],8852:[598,0,667,61,605],8853:[583,83,778,56,722],8854:[583,83,778,56,722],8855:[583,83,778,56,722],8856:[583,83,778,56,722],8857:[583,83,778,56,722],8866:[694,0,611,55,555],8867:[694,0,611,55,555],8868:[668,0,778,55,723],8869:[668,0,778,55,723],8872:[750,249,867,119,811],8900:[488,-12,500,12,488],8901:[310,-190,278,78,199],8902:[486,-16,500,3,497],8904:[505,5,900,26,873],8942:[900,30,278,78,199],8943:[310,-190,1172,78,1093],8945:[820,-100,1282,133,1148],8968:[750,250,444,174,422],8969:[750,250,444,21,269],8970:[750,250,444,174,422],8971:[750,250,444,21,269],8994:[388,-122,1000,55,944],8995:[378,-134,1000,55,944],9136:[744,244,412,55,357],9137:[744,244,412,56,357],10216:[750,250,389,110,333],10217:[750,250,389,55,278],10222:[744,244,412,173,357],10223:[744,244,412,56,240],10229:[511,11,1609,55,1525],10230:[511,11,1638,84,1553],10231:[511,11,1859,55,1803],10232:[525,24,1609,56,1553],10233:[525,24,1638,56,1582],10234:[525,24,1858,56,1802],10236:[511,11,1638,55,1553],10815:[683,0,750,28,721],10927:[636,138,778,84,694],10928:[636,138,778,83,694]};i.FONTDATA.FONTS["MathJax_Math-italic"]={directory:"Math/Italic",family:"MathJax_Math",style:"italic",testString:"MathJax Math \u03A5",skew:{65:0.139,66:0.0833,67:0.0833,68:0.0556,69:0.0833,70:0.0833,71:0.0833,72:0.0556,73:0.111,74:0.167,75:0.0556,76:0.0278,77:0.0833,78:0.0833,79:0.0833,80:0.0833,81:0.0833,82:0.0833,83:0.0833,84:0.0833,85:0.0278,88:0.0833,90:0.0833,99:0.0556,100:0.167,101:0.0556,102:0.167,103:0.0278,104:-0.0278,108:0.0833,111:0.0556,112:0.0833,113:0.0833,114:0.0556,115:0.0556,116:0.0833,117:0.0278,118:0.0278,119:0.0833,120:0.0278,121:0.0556,122:0.0556,915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],47:[716,215,778,139,638],65:[716,0,750,35,726],66:[683,0,759,35,756],67:[705,22,715,50,760],68:[683,0,828,33,803],69:[680,0,738,31,764],70:[680,0,643,31,749],71:[705,22,786,50,760],72:[683,0,831,31,888],73:[683,0,440,26,504],74:[683,22,555,57,633],75:[683,0,849,31,889],76:[683,0,681,32,647],77:[683,0,970,35,1051],78:[683,0,803,31,888],79:[704,22,763,50,740],80:[683,0,642,33,751],81:[704,194,791,50,740],82:[683,21,759,33,755],83:[705,22,613,52,645],84:[677,0,584,21,704],85:[683,22,683,60,767],86:[683,22,583,52,769],87:[683,22,944,51,1048],88:[683,0,828,26,852],89:[683,-1,581,30,763],90:[683,0,683,58,723],97:[441,10,529,33,506],98:[694,11,429,40,422],99:[442,11,433,34,429],100:[694,10,520,33,523],101:[442,11,466,39,429],102:[705,205,490,55,550],103:[442,205,477,10,480],104:[694,11,576,48,555],105:[661,11,345,21,302],106:[661,204,412,-12,403],107:[694,11,521,48,503],108:[694,11,298,38,266],109:[442,11,878,21,857],110:[442,11,600,21,580],111:[441,11,485,34,476],112:[442,194,503,-39,497],113:[442,194,446,33,460],114:[442,11,451,21,430],115:[442,10,469,53,419],116:[626,11,361,19,330],117:[442,11,572,21,551],118:[443,11,485,21,467],119:[443,11,716,21,690],120:[442,11,572,35,522],121:[442,205,490,21,496],122:[442,11,465,35,468],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[677,0,742,53,777],928:[680,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]};i.FONTDATA.FONTS.MathJax_Size1={directory:"Size1/Regular",family:"MathJax_Size1",testString:"() [] {}",32:[0,0,250,0,0],40:[850,349,458,152,422],41:[850,349,458,35,305],47:[850,349,578,55,522],91:[850,349,417,202,394],92:[850,349,578,54,522],93:[850,349,417,22,214],123:[850,349,583,105,477],125:[850,349,583,105,477],160:[0,0,250,0,0],710:[744,-551,556,-8,564],732:[722,-597,556,1,554],770:[744,-551,0,-564,8],771:[722,-597,0,-555,-2],8214:[602,0,778,257,521],8593:[600,0,667,112,555],8595:[600,0,667,112,555],8657:[599,0,778,57,721],8659:[600,-1,778,57,721],8719:[750,250,944,55,888],8720:[750,250,944,55,888],8721:[750,250,1056,56,999],8730:[850,350,1000,111,1020],8739:[627,15,333,145,188],8741:[627,15,556,145,410],8747:[805,306,472,55,610],8748:[805,306,819,55,957],8749:[805,306,1166,55,1304],8750:[805,306,472,55,610],8896:[750,249,833,55,777],8897:[750,249,833,55,777],8898:[750,249,833,55,777],8899:[750,249,833,55,777],8968:[850,349,472,202,449],8969:[850,349,472,22,269],8970:[850,349,472,202,449],8971:[850,349,472,22,269],9168:[602,0,667,312,355],10216:[850,350,472,97,394],10217:[850,350,472,77,374],10752:[750,250,1111,56,1054],10753:[750,250,1111,56,1054],10754:[750,250,1111,56,1054],10756:[750,249,833,55,777],10758:[750,249,833,55,777]};i.FONTDATA.FONTS.MathJax_Size2={directory:"Size2/Regular",family:"MathJax_Size2",testString:"() [] {}",32:[0,0,250,0,0],40:[1150,649,597,180,561],41:[1150,649,597,35,416],47:[1150,649,811,56,754],91:[1150,649,472,224,455],92:[1150,649,811,54,754],93:[1150,649,472,16,247],123:[1150,649,667,119,547],125:[1150,649,667,119,547],160:[0,0,250,0,0],710:[772,-565,1000,-5,1004],732:[750,-611,1000,0,999],770:[772,-565,0,-1005,4],771:[750,-611,0,-1000,-1],8719:[950,450,1278,56,1221],8720:[950,450,1278,56,1221],8721:[950,450,1444,55,1388],8730:[1150,650,1000,111,1020],8747:[1360,862,556,55,944],8748:[1360,862,1084,55,1472],8749:[1360,862,1592,55,1980],8750:[1360,862,556,55,944],8896:[950,450,1111,55,1055],8897:[950,450,1111,55,1055],8898:[949,450,1111,55,1055],8899:[950,449,1111,55,1055],8968:[1150,649,528,224,511],8969:[1150,649,528,16,303],8970:[1150,649,528,224,511],8971:[1150,649,528,16,303],10216:[1150,649,611,112,524],10217:[1150,649,611,85,498],10752:[949,449,1511,56,1454],10753:[949,449,1511,56,1454],10754:[949,449,1511,56,1454],10756:[950,449,1111,55,1055],10758:[950,450,1111,55,1055]};i.FONTDATA.FONTS.MathJax_Size3={directory:"Size3/Regular",family:"MathJax_Size3",testString:"() [] {}",32:[0,0,250,0,0],40:[1450,949,736,209,701],41:[1450,949,736,34,526],47:[1450,949,1044,55,989],91:[1450,949,528,247,516],92:[1450,949,1044,56,988],93:[1450,949,528,11,280],123:[1450,949,750,130,618],125:[1450,949,750,131,618],160:[0,0,250,0,0],710:[772,-564,1444,-4,1447],732:[749,-610,1444,1,1442],770:[772,-564,0,-1448,3],771:[749,-610,0,-1443,-2],8730:[1450,950,1000,111,1020],8968:[1450,949,583,246,571],8969:[1450,949,583,11,336],8970:[1450,949,583,246,571],8971:[1450,949,583,11,336],10216:[1450,950,750,126,654],10217:[1450,949,750,94,623]};i.FONTDATA.FONTS.MathJax_Size4={directory:"Size4/Regular",family:"MathJax_Size4",testString:"() [] {}",32:[0,0,250,0,0],40:[1750,1249,792,237,758],41:[1750,1249,792,33,554],47:[1750,1249,1278,56,1221],91:[1750,1249,583,269,577],92:[1750,1249,1278,56,1221],93:[1750,1249,583,5,313],123:[1750,1249,806,144,661],125:[1750,1249,806,144,661],160:[0,0,250,0,0],710:[845,-561,1889,-14,1902],732:[823,-583,1889,1,1885],770:[845,-561,0,-1903,13],771:[823,-583,0,-1888,-4],8730:[1750,1250,1000,111,1020],8968:[1750,1249,639,269,633],8969:[1750,1249,639,5,369],8970:[1750,1249,639,269,633],8971:[1750,1249,639,5,369],9115:[1154,655,875,291,843],9116:[610,10,875,291,417],9117:[1165,644,875,291,843],9118:[1154,655,875,31,583],9119:[610,10,875,457,583],9120:[1165,644,875,31,583],9121:[1154,645,667,319,666],9122:[602,0,667,319,403],9123:[1155,644,667,319,666],9124:[1154,645,667,0,347],9125:[602,0,667,263,347],9126:[1155,644,667,0,347],9127:[899,10,889,384,718],9128:[1160,660,889,170,504],9129:[10,899,889,384,718],9130:[310,10,889,384,504],9131:[899,10,889,170,504],9132:[1160,660,889,384,718],9133:[10,899,889,170,504],9143:[935,885,1056,111,742],10216:[1750,1248,806,140,703],10217:[1750,1248,806,103,665],57344:[625,14,1056,702,742],57345:[605,14,1056,702,1076],57680:[120,213,450,-24,460],57681:[120,213,450,-10,474],57682:[333,0,450,-24,460],57683:[333,0,450,-10,474],57684:[120,0,400,-10,410]};i.FONTDATA.FONTS[m][8722][0]=i.FONTDATA.FONTS[m][43][0];i.FONTDATA.FONTS[m][8722][1]=i.FONTDATA.FONTS[m][43][1];i.FONTDATA.FONTS[m][8942][0]+=400;i.FONTDATA.FONTS[m][8945][0]+=700;i.FONTDATA.FONTS[c][57684][0]+=200;i.FONTDATA.FONTS[c][57684][1]+=200;i.FONTDATA.FONTS[m][8773][2]-=222;i.FONTDATA.FONTS[m][8773][5]={rfix:-222};MathJax.Hub.Register.LoadHook(i.fontDir+"/Main/Bold/MathOperators.js",function(){i.FONTDATA.FONTS[r][8773][2]-=106;i.FONTDATA.FONTS[r][8773][5]={rfix:-106}});MathJax.Hub.Register.LoadHook(i.fontDir+"/Typewriter/Regular/BasicLatin.js",function(){i.FONTDATA.FONTS.MathJax_Typewriter[32][2]+=275;i.FONTDATA.FONTS.MathJax_Typewriter[32][5]={rfix:275}});MathJax.Hub.Register.LoadHook(i.fontDir+"/Typewriter/Regular/Other.js",function(){i.FONTDATA.FONTS.MathJax_Typewriter[160][2]+=275;i.FONTDATA.FONTS.MathJax_Typewriter[160][5]={rfix:275}});MathJax.Hub.Insert(i.FONTDATA.FONTS[m],{61152:[0,0,-575,0,0,{space:1}],61153:[0,0,-300,0,0,{space:1}],61160:[0,0,25,0,0,{space:1}]});if(!i.imgFonts){MathJax.Hub.Browser.Select({MSIE:function(u){if(i.config.availableFonts&&i.config.availableFonts.length){i.FONTDATA.REMAP[713]=175;i.FONTDATA.REMAP[714]=180;i.FONTDATA.REMAP[715]=96;i.FONTDATA.REMAP[730]=176;var t=String.fromCharCode(915)+" "+String.fromCharCode(933)+" "+String.fromCharCode(923);i.FONTDATA.RANGES.push({name:"IEgreek",low:945,high:969,offset:"IEG",add:32});i.FONTDATA.RANGES.push({name:"IEGreek",low:913,high:1014,offset:"IEG"});if(i.Font.testFont({family:"MathJax_Greek",testString:t})){i.Augment({FONTDATA:{VARIANT:{normal:{offsetIEG:913,variantIEG:"-Greek"},fraktur:{offsetIEG:913,variantIEG:"-Greek"},script:{offsetIEG:913,variantIEG:"-Greek"},"-tex-caligraphic":{offsetIEG:913,variantIEG:"-Greek"},"-tex-oldstyle":{offsetIEG:913,variantIEG:"-Greek"},"-Greek":{fonts:["MathJax_Greek"]}}}});i.FONTDATA.FONTS.MathJax_Greek={directory:"Greek/Regular",family:"MathJax_Greek",testString:"\u0393 \u03A5 \u039B",32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,625,25,582],916:[716,0,833,46,786],920:[705,22,778,56,722],923:[716,0,694,32,661],926:[677,0,667,42,624],928:[680,0,750,25,724],931:[683,0,722,55,666],933:[705,0,778,55,722],934:[683,0,722,56,665],936:[683,0,778,55,722],937:[704,0,722,44,677]}}if(i.Font.testFont({family:"MathJax_Greek",weight:"bold",testString:t})){i.Augment({FONTDATA:{VARIANT:{bold:{offsetIEG:913,variantIEG:"-Greek-Bold"},"bold-fraktur":{offsetIEG:913,variantIEG:"-Greek-Bold"},"bold-script":{offsetIEG:913,variantIEG:"-Greek-Bold"},"-Greek-Bold":{fonts:["MathJax_Greek-bold"]}}}});i.FONTDATA.FONTS["MathJax_Greek-bold"]={directory:"Greek/Bold",family:"MathJax_Greek",weight:"bold",testString:"\u0393 \u03A5 \u039B",32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,0,692,39,643],916:[698,0,958,56,901],920:[696,10,894,64,829],923:[698,0,806,40,765],926:[675,0,767,48,718],928:[680,0,900,39,860],931:[686,0,831,64,766],933:[697,0,894,64,829],934:[686,0,831,64,766],936:[686,0,894,64,829],937:[696,1,831,51,779]}}if(i.Font.testFont({family:"MathJax_Greek",style:"italic",testString:t})){i.Augment({FONTDATA:{VARIANT:{italic:{offsetIEG:913,variantIEG:"-Greek-Italic"},"-Greek-Italic":{fonts:["MathJax_Greek-italic"]}}}});i.FONTDATA.FONTS["MathJax_Greek-italic"]={directory:"Greek/Italic",family:"MathJax_Greek",style:"italic",testString:"\u0393 \u03A5 \u039B",skew:{915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0],160:[0,0,250,0,0],915:[680,-1,615,31,721],916:[716,0,833,48,788],920:[704,22,763,50,740],923:[716,0,694,35,670],926:[678,0,742,53,777],928:[681,0,831,31,887],931:[683,0,780,58,806],933:[705,0,583,28,700],934:[683,0,667,24,642],936:[683,0,612,21,692],937:[704,0,772,80,786],945:[442,11,640,34,603],946:[705,194,566,23,573],947:[441,216,518,11,543],948:[717,10,444,36,451],949:[452,22,466,27,428],950:[704,204,438,44,471],951:[442,216,497,21,503],952:[705,10,469,35,462],953:[442,10,354,48,332],954:[442,11,576,49,554],955:[694,12,583,47,556],956:[442,216,603,23,580],957:[442,2,494,45,530],958:[704,205,438,21,443],959:[441,11,485,34,476],960:[431,11,570,19,573],961:[442,216,517,23,510],962:[442,107,363,31,405],963:[431,11,571,31,572],964:[431,13,437,18,517],965:[443,10,540,21,523],966:[442,218,654,50,618],967:[442,204,626,25,600],968:[694,205,651,21,634],969:[443,11,622,15,604],977:[705,11,591,21,563],981:[694,205,596,43,579],982:[431,10,828,19,823],1009:[442,194,517,67,510],1013:[431,11,406,40,382]}}if(i.Font.testFont({family:"MathJax_Greek",weight:"bold",style:"italic",testString:t})){i.Augment({FONTDATA:{VARIANT:{"bold-italic":{offsetG:913,variantG:"-Greek-Bold-Italic"},"-Greek-Bold-Italic":{fonts:["MathJax_Greek-bold-italic"]}},FONTS:{"MathJax_Greek-bold-italic":"Greek/BoldItalic/Main.js"}}})}}if(i.msieIE6){var w="MathJax_WinIE6";i.FONTDATA.FONTS[w]="WinIE6/Regular/Main.js";i.FONTDATA.RANGES.push({name:"arrows",low:8592,high:8601,offset:"AR"});var v={variant:"-WinIE6",8658:57866,8660:57867,8704:57868,8706:57869,8707:57870,8711:57871,8712:57872,8715:57873,8725:57874,8730:57875,8733:57876,8734:57877,8736:57878,8739:57879,8741:57880,8743:57881,8744:57882,8745:57883,8746:57884,8747:57885,8764:57886,8776:57887,8800:57888,8801:57889,8804:57890,8805:57891,8810:57892,8811:57893,8834:57894,8835:57895,8838:57896,8839:57897,8853:57898,8857:57899,8869:57900,9651:57901,9661:57902,9711:57903,9824:57904,9825:57905,9826:57906,9827:57907,9837:57908,9838:57909,9839:57910,8806:58053,8807:58054,8814:58055,8815:58056,8988:58058,8989:58059,8990:58060,8991:58061,9484:58058,9488:58059,9492:58060,9496:58061,9585:58062,9586:58063,9632:58064,9633:58065,9650:58066,9654:58068,9660:58069,9661:58070,9664:58071,9674:58072,8756:58073,8757:58074,8786:58075,9733:58076,8765:58077};var y={variant:"-WinIE6",8658:57930,8660:57931,8704:57932,8706:57933,8707:57934,8711:57935,8712:57936,8715:57937,8725:57938,8730:57939,8733:57940,8734:57941,8736:57942,8739:57943,8741:57944,8743:57945,8744:57946,8745:57947,8746:57948,8747:57949,8764:57950,8776:57951,8800:57952,8801:57953,8804:57954,8805:57955,8810:57956,8811:57957,8834:57958,8835:57959,8838:57960,8839:57961,8853:57962,8857:57963,8869:57964,9651:57965,9661:57966,9711:57967,9824:57968,9825:57969,9826:57970,9827:57971,9837:57972,9838:57973,9839:57974,8806:58053,8807:58054,8814:58055,8815:58056,8988:58058,8989:58059,8990:58060,8991:58061,9484:58058,9488:58059,9492:58060,9496:58061,9585:58062,9586:58063,9632:58064,9633:58065,9650:58066,9654:58068,9660:58069,9661:58070,9664:58071,9674:58072,8756:58073,8757:58074,8786:58075,9733:58076,8765:58077};var s={offsetAR:57856,variantAR:"-WinIE6",remap:v};var x={offsetAR:57920,variantAR:"-WinIE6",remap:y};i.Augment({FONTDATA:{VARIANT:{normal:s,bold:x,italic:s,"bold-italic":x,"-TeX-variant":{remap:{8592:[58049,"-WinIE6"],8594:[58048,"-WinIE6"],8739:[58050,"-WinIE6"],8741:[58051,"-WinIE6"],8764:[58052,"-WinIE6"],9651:[58067,"-WinIE6"]}},"-largeOp":{fonts:[w,f,g,m],remap:{8719:58000,8721:58001,8747:58005,8750:58006}},"-smallOp":{fonts:[w,g,m],remap:{8719:57984,8721:57985,8747:57989,8750:57990}},"-WinIE6":{fonts:[w]}},DELIMITERS:{8730:{HW:{0:[1,w,null,57875],1:[1.2,w,null,57986],2:[1.8,w,null,58002],3:[2.4,w,null,58018],4:[3,w,null,58034]}},124:{stretch:{ext:[57879,w]}},8739:{HW:{0:[1,w,null,57879]},stretch:{ext:[57879,w]}},9168:{HW:{1:[1,w,null,57879]},stretch:{ext:[57879,w]}},8741:{HW:{0:[1,w,null,57880]},stretch:{ext:[57880,w]}},8592:{HW:{0:[0.889,w,null,57856]},stretch:{left:[57856,w]}},8593:{HW:{0:[0.888,w,null,57857]},stretch:{top:[57991,w],ext:[57993,w]}},8594:{HW:{0:[0.889,w,null,57858]},stretch:{right:[57858,w]}},8595:{HW:{0:[0.888,w,null,57859]},stretch:{bot:[57992,w],ext:[57993,w]}},8596:{HW:{0:[1,w,null,57860]},stretch:{left:[57856,w],right:[57858,w]}},8597:{HW:{0:[1.044,w,null,57859]},stretch:{top:[57991,w],bot:[57992,w],ext:[57993,w]}}}}})}},Chrome:function(t){if(t.isPC&&navigator.userAgent.match(/Windows NT (5|6.0)/)){i.Augment({FONTDATA:{REMAP:{824:"\uEEE0/\uEEE8"},REMAPACCENT:{"\u0307":".","\u030B":"\u00B4\uEEE1\u00B4","\u20D7":"\u2192"}}});delete i.FONTDATA.REMAPACCENT["\u2192"]}if(t.isPC&&!MathJax.Hub.Browser.versionAtLeast("5.0")){var s="-WinChrome";i.Augment({FONTDATA:{VARIANT:{normal:{remap:{62:[62,s]}},bold:{remap:{58097:[62,s]}},italic:{remap:{100:[100,s]}},"-tex-caligraphic":{remap:{84:[84,s]}},"-tex-caligraphic-bold":{remap:{84:[58096,s]}},"-largeOp":{remap:{10752:[10752,s]}},"-smallOp":{remap:{8899:[8899,s]}},"-WinChrome":{fonts:["MathJax_WinChrome"]}},DELIMITERS:{93:{stretch:{bot:[9126,"MathJax_WinChrome"]}},8971:{stretch:{bot:[9126,"MathJax_WinChrome"]}}}}});i.FONTDATA.FONTS.MathJax_WinChrome={directory:"WinChrome/Regular",family:"MathJax_WinChrome",testString:"> T d \u23A6 \u2A00",skew:{84:0.0278,58096:0.0319},32:[0,0,250,0,0],62:[540,40,778,83,694],84:[717,68,545,34,833],100:[694,11,511,101,567],160:[0,0,250,0,0],8899:[750,249,833,55,777],9126:[1155,644,667,0,347],10752:[949,449,1511,56,1454],58096:[720,69,644,38,947],58097:[587,85,894,96,797]}}}})}(function(){var v=i.FONTDATA.FONTS,u=i.config.availableFonts;var t,s=[];if(i.allowWebFonts){for(t in v){if(v[t].family){if(u&&u.length&&i.Font.testFont(v[t])){v[t].available=true;i.Font.loadComplete(v[t])}else{v[t].isWebFont=true;if(i.FontFaceBug){v[t].family=t}s.push(i.Font.fontFace(t))}}}if(!i.config.preloadWebFonts){i.config.preloadWebFonts=[]}i.config.preloadWebFonts.push(m,o,g);if(s.length){i.config.styles["@font-face"]=s}}else{if(u&&u.length){for(t in v){if(v[t].family&&i.Font.testFont(v[t])){v[t].available=true;i.Font.loadComplete(v[t])}}}}})();q.loadComplete(i.fontDir+"/fontdata.js")})(MathJax.OutputJax["HTML-CSS"],MathJax.ElementJax.mml,MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/imageFonts.js b/jax/output/HTML-CSS/imageFonts.js
index 9ab6bf9f4b..7baea50a8e 100644
--- a/jax/output/HTML-CSS/imageFonts.js
+++ b/jax/output/HTML-CSS/imageFonts.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/imageFonts.js
+ *  /MathJax-v2/jax/output/HTML-CSS/imageFonts.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(b,c,a){var d="2.7.6";b.Register.LoadHook(c.fontDir+"/fontdata.js",function(){c.Augment({allowWebFonts:false,imgDir:c.webfontDir+"/png",imgPacked:(MathJax.isPacked?"":"/unpacked"),imgSize:["050","060","071","085",100,120,141,168,200,238,283,336,400,476],imgBaseIndex:4,imgSizeForEm:{},imgSizeForScale:{},imgZoom:1,handleImg:function(t,i,r,h,u){if(u.length){this.addText(t,u)}var s=r[5].orig;if(!s){s=r[5].orig=[r[0],r[1],r[2],r[3],r[4]]}var m=this.imgZoom;if(!t.scale){t.scale=1}var p=this.imgIndex(t.scale*m);if(p==this.imgEmWidth.length-1&&this.em*t.scale*m/this.imgEmWidth[p]>1.1){m=this.imgEmWidth[p]/(this.em*t.scale)}var q=this.imgEmWidth[p]/(this.em*(t.scale||1)*m);r[0]=s[0]*q;r[1]=s[1]*q;r[2]=s[2]*q;r[3]=s[3]*q;r[4]=s[4]*q;var k=this.imgDir+"/"+i.directory+"/"+this.imgSize[p];var l=h.toString(16).toUpperCase();while(l.length<4){l="0"+l}var j=k+"/"+l+".png";var o=r[5].img[p];var g={width:Math.floor(o[0]/m+0.5)+"px",height:Math.floor(o[1]/m+0.5)+"px"};if(o[2]){g.verticalAlign=Math.floor(-o[2]/m+0.5)+"px"}if(r[3]<0){g.marginLeft=this.Em(r[3]/1000)}if(r[4]!=r[2]){g.marginRight=this.Em((r[2]-r[4])/1000)}if(this.msieIE6){g.filter="progid:DXImageTransform.Microsoft.AlphaImageLoader(src='"+a.urlRev(j)+"', sizingMethod='scale')";j=this.directory+"/blank.gif"}this.addElement(t,"img",{src:a.urlRev(j),style:g,isMathJax:true});return""},defineImageData:function(i){for(var g in i){if(i.hasOwnProperty(g)){var h=c.FONTDATA.FONTS[g];if(h){g=i[g];for(var j in g){if(g.hasOwnProperty(j)&&h[j]){h[j][5]={img:g[j]}}}}}}},initImg:function(j){if(this.imgSizeForEm[this.em]){this.imgBaseIndex=this.imgSizeForEm[this.em]}for(var h=0,g=this.imgEmWidth.length-1;h<g;h++){if(this.em<=this.imgEmWidth[h]){break}}if(h&&this.imgEmWidth[h]-this.em>this.em-this.imgEmWidth[h-1]){h--}this.imgSizeForEm[this.em]=this.imgBaseIndex=h;this.imgZoom=this.imgBrowserZoom()},imgIndex:function(k){if(!k){return this.imgBaseIndex}if(!this.imgSizeForScale[this.em]){this.imgSizeForScale[this.em]={}}if(this.imgSizeForScale[this.em][k]){return this.imgSizeForScale[this.em][k]}var j=this.em*k;for(var h=0,g=this.imgEmWidth.length-1;h<g;h++){if(j<=this.imgEmWidth[h]){break}}if(h&&this.imgEmWidth[h]-j>j-this.imgEmWidth[h-1]){h--}this.imgSizeForScale[this.em][k]=h;return h},imgBrowserZoom:function(){return 1}});b.Browser.Select({Firefox:function(h){var g=c.addElement(document.body,"div",{style:{display:"none",visibility:"hidden",overflow:"scroll",position:"absolute",top:0,left:0,width:"200px",height:"200px",padding:0,border:0,margin:0}});var i=c.addElement(g,"div",{style:{position:"absolute",left:0,top:0,right:0,bottom:0,padding:0,border:0,margin:0}});c.Augment({imgSpaceBug:true,imgSpace:"\u00A0",imgZoomLevel:(h.isMac?{50:0.3,30:0.5,22:0.67,19:0.8,16:0.9,15:1,13:1.1,12:1.2,11:1.33,10:1.5,9:1.7,7:2,6:2.4,5:3,0:15}:{56:0.3,34:0.5,25:0.67,21:0.8,19:0.9,17:1,15:1.1,14:1.2,13:1.33,11:1.5,10:1.7,8:2,7:2.4,6:3,0:17}),imgZoomDiv:g,imgBrowserZoom:function(){var j=this.imgZoomLevel;g.style.display="";var k=(g.offsetWidth-i.offsetWidth);k=(j[k]?j[k]:j[0]/k);g.style.display="none";return k}})},Safari:function(g){c.Augment({imgBrowserZoom:function(){return 3}})},Chrome:function(g){c.Augment({imgHeightBug:true,imgBrowserZoom:function(){return 3}})},Opera:function(g){c.Augment({imgSpaceBug:true,imgSpace:"\u00A0\u00A0",imgDoc:(document.compatMode=="BackCompat"?document.body:document.documentElement),imgBrowserZoom:function(){if(g.isMac){return 3}var h=this.imgDoc.clientHeight,i=Math.floor(15*h/window.innerHeight);if(this.imgDoc.clientWidth<this.imgDoc.scrollWidth-i){h+=i}return parseFloat((window.innerHeight/h).toFixed(1))}})}});var f=function(){var h=c.FONTDATA.FONTS.MathJax_Main[8212][5].img;c.imgEmWidth=[];for(var j=0,g=h.length;j<g;j++){c.imgEmWidth[j]=h[j][0]}};var e=c.imgDir+c.imgPacked;MathJax.Callback.Queue(["Require",a,e+"/imagedata.js"],f,["loadComplete",a,c.directory+"/imageFonts.js"])})})(MathJax.Hub,MathJax.OutputJax["HTML-CSS"],MathJax.Ajax);
+(function(b,c,a){var d="2.7.9";b.Register.LoadHook(c.fontDir+"/fontdata.js",function(){c.Augment({allowWebFonts:false,imgDir:c.webfontDir+"/png",imgPacked:(MathJax.isPacked?"":"/unpacked"),imgSize:["050","060","071","085",100,120,141,168,200,238,283,336,400,476],imgBaseIndex:4,imgSizeForEm:{},imgSizeForScale:{},imgZoom:1,handleImg:function(t,i,r,h,u){if(u.length){this.addText(t,u)}var s=r[5].orig;if(!s){s=r[5].orig=[r[0],r[1],r[2],r[3],r[4]]}var m=this.imgZoom;if(!t.scale){t.scale=1}var p=this.imgIndex(t.scale*m);if(p==this.imgEmWidth.length-1&&this.em*t.scale*m/this.imgEmWidth[p]>1.1){m=this.imgEmWidth[p]/(this.em*t.scale)}var q=this.imgEmWidth[p]/(this.em*(t.scale||1)*m);r[0]=s[0]*q;r[1]=s[1]*q;r[2]=s[2]*q;r[3]=s[3]*q;r[4]=s[4]*q;var k=this.imgDir+"/"+i.directory+"/"+this.imgSize[p];var l=h.toString(16).toUpperCase();while(l.length<4){l="0"+l}var j=k+"/"+l+".png";var o=r[5].img[p];var g={width:Math.floor(o[0]/m+0.5)+"px",height:Math.floor(o[1]/m+0.5)+"px"};if(o[2]){g.verticalAlign=Math.floor(-o[2]/m+0.5)+"px"}if(r[3]<0){g.marginLeft=this.Em(r[3]/1000)}if(r[4]!=r[2]){g.marginRight=this.Em((r[2]-r[4])/1000)}if(this.msieIE6){g.filter="progid:DXImageTransform.Microsoft.AlphaImageLoader(src='"+a.urlRev(j)+"', sizingMethod='scale')";j=this.directory+"/blank.gif"}this.addElement(t,"img",{src:a.urlRev(j),style:g,isMathJax:true});return""},defineImageData:function(i){for(var g in i){if(i.hasOwnProperty(g)){var h=c.FONTDATA.FONTS[g];if(h){g=i[g];for(var j in g){if(g.hasOwnProperty(j)&&h[j]){h[j][5]={img:g[j]}}}}}}},initImg:function(j){if(this.imgSizeForEm[this.em]){this.imgBaseIndex=this.imgSizeForEm[this.em]}for(var h=0,g=this.imgEmWidth.length-1;h<g;h++){if(this.em<=this.imgEmWidth[h]){break}}if(h&&this.imgEmWidth[h]-this.em>this.em-this.imgEmWidth[h-1]){h--}this.imgSizeForEm[this.em]=this.imgBaseIndex=h;this.imgZoom=this.imgBrowserZoom()},imgIndex:function(k){if(!k){return this.imgBaseIndex}if(!this.imgSizeForScale[this.em]){this.imgSizeForScale[this.em]={}}if(this.imgSizeForScale[this.em][k]){return this.imgSizeForScale[this.em][k]}var j=this.em*k;for(var h=0,g=this.imgEmWidth.length-1;h<g;h++){if(j<=this.imgEmWidth[h]){break}}if(h&&this.imgEmWidth[h]-j>j-this.imgEmWidth[h-1]){h--}this.imgSizeForScale[this.em][k]=h;return h},imgBrowserZoom:function(){return 1}});b.Browser.Select({Firefox:function(h){var g=c.addElement(document.body,"div",{style:{display:"none",visibility:"hidden",overflow:"scroll",position:"absolute",top:0,left:0,width:"200px",height:"200px",padding:0,border:0,margin:0}});var i=c.addElement(g,"div",{style:{position:"absolute",left:0,top:0,right:0,bottom:0,padding:0,border:0,margin:0}});c.Augment({imgSpaceBug:true,imgSpace:"\u00A0",imgZoomLevel:(h.isMac?{50:0.3,30:0.5,22:0.67,19:0.8,16:0.9,15:1,13:1.1,12:1.2,11:1.33,10:1.5,9:1.7,7:2,6:2.4,5:3,0:15}:{56:0.3,34:0.5,25:0.67,21:0.8,19:0.9,17:1,15:1.1,14:1.2,13:1.33,11:1.5,10:1.7,8:2,7:2.4,6:3,0:17}),imgZoomDiv:g,imgBrowserZoom:function(){var j=this.imgZoomLevel;g.style.display="";var k=(g.offsetWidth-i.offsetWidth);k=(j[k]?j[k]:j[0]/k);g.style.display="none";return k}})},Safari:function(g){c.Augment({imgBrowserZoom:function(){return 3}})},Chrome:function(g){c.Augment({imgHeightBug:true,imgBrowserZoom:function(){return 3}})},Opera:function(g){c.Augment({imgSpaceBug:true,imgSpace:"\u00A0\u00A0",imgDoc:(document.compatMode=="BackCompat"?document.body:document.documentElement),imgBrowserZoom:function(){if(g.isMac){return 3}var h=this.imgDoc.clientHeight,i=Math.floor(15*h/window.innerHeight);if(this.imgDoc.clientWidth<this.imgDoc.scrollWidth-i){h+=i}return parseFloat((window.innerHeight/h).toFixed(1))}})}});var f=function(){var h=c.FONTDATA.FONTS.MathJax_Main[8212][5].img;c.imgEmWidth=[];for(var j=0,g=h.length;j<g;j++){c.imgEmWidth[j]=h[j][0]}};var e=c.imgDir+c.imgPacked;MathJax.Callback.Queue(["Require",a,e+"/imagedata.js"],f,["loadComplete",a,c.directory+"/imageFonts.js"])})})(MathJax.Hub,MathJax.OutputJax["HTML-CSS"],MathJax.Ajax);
diff --git a/jax/output/HTML-CSS/jax.js b/jax/output/HTML-CSS/jax.js
index 8b0bb75ac9..19a895bda4 100644
--- a/jax/output/HTML-CSS/jax.js
+++ b/jax/output/HTML-CSS/jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/HTML-CSS/jax.js
+ *  /MathJax-v2/jax/output/HTML-CSS/jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/NativeMML/config.js b/jax/output/NativeMML/config.js
index 876d6dc240..88db707766 100644
--- a/jax/output/NativeMML/config.js
+++ b/jax/output/NativeMML/config.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/NativeMML/config.js
+ *  /MathJax-v2/jax/output/NativeMML/config.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
+MathJax.OutputJax.NativeMML=MathJax.OutputJax({id:"NativeMML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/NativeMML",extensionDir:MathJax.OutputJax.extensionDir+"/NativeMML",config:{matchFontHeight:true,scale:100,minScaleAdjust:50,styles:{"div.MathJax_MathML":{"text-align":"center",margin:".75em 0px"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.NativeMML.Register("jax/mml")}MathJax.OutputJax.NativeMML.loadComplete("config.js");
diff --git a/jax/output/NativeMML/jax.js b/jax/output/NativeMML/jax.js
index 3e737a305c..9df3677c88 100644
--- a/jax/output/NativeMML/jax.js
+++ b/jax/output/NativeMML/jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/NativeMML/jax.js
+ *  /MathJax-v2/jax/output/NativeMML/jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/PlainSource/config.js b/jax/output/PlainSource/config.js
index f6ff7d981e..588d981668 100644
--- a/jax/output/PlainSource/config.js
+++ b/jax/output/PlainSource/config.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/PlainSource/config.js
+ *  /MathJax-v2/jax/output/PlainSource/config.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax.PlainSource=MathJax.OutputJax({id:"PlainSource",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PlainSource",extensionDir:MathJax.OutputJax.extensionDir+"/PlainSource",config:{styles:{".MathJax_PlainSource_Display":{"text-align":"center",margin:".75em 0px","white-space":"pre"},".MathJax_PlainSource_Display > span":{display:"inline-block","text-align":"left"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PlainSource.Register("jax/mml")}MathJax.OutputJax.PlainSource.loadComplete("config.js");
+MathJax.OutputJax.PlainSource=MathJax.OutputJax({id:"PlainSource",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PlainSource",extensionDir:MathJax.OutputJax.extensionDir+"/PlainSource",config:{styles:{".MathJax_PlainSource_Display":{"text-align":"center",margin:".75em 0px","white-space":"pre"},".MathJax_PlainSource_Display > span":{display:"inline-block","text-align":"left"}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PlainSource.Register("jax/mml")}MathJax.OutputJax.PlainSource.loadComplete("config.js");
diff --git a/jax/output/PlainSource/jax.js b/jax/output/PlainSource/jax.js
index 09acafbb0f..cd6a8bc4fe 100644
--- a/jax/output/PlainSource/jax.js
+++ b/jax/output/PlainSource/jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/PlainSource/jax.js
+ *  /MathJax-v2/jax/output/PlainSource/jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/PreviewHTML/config.js b/jax/output/PreviewHTML/config.js
index c4986199bf..5b0293fe9d 100644
--- a/jax/output/PreviewHTML/config.js
+++ b/jax/output/PreviewHTML/config.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/PreviewHTML/config.js
+ *  /MathJax-v2/jax/output/PreviewHTML/config.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.6",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
+MathJax.OutputJax.PreviewHTML=MathJax.OutputJax({id:"PreviewHTML",version:"2.7.9",directory:MathJax.OutputJax.directory+"/PreviewHTML",extensionDir:MathJax.OutputJax.extensionDir+"/PreviewHTML",noFastPreview:true,config:{scale:100,minScaleAdjust:50,mtextFontInherit:false,linebreaks:{automatic:false,width:"container"}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.PreviewHTML.Register("jax/mml")}MathJax.OutputJax.PreviewHTML.loadComplete("config.js");
diff --git a/jax/output/PreviewHTML/jax.js b/jax/output/PreviewHTML/jax.js
index b77dd051f0..217ee6e1d0 100644
--- a/jax/output/PreviewHTML/jax.js
+++ b/jax/output/PreviewHTML/jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/PreviewHTML/jax.js
+ *  /MathJax-v2/jax/output/PreviewHTML/jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/autoload/annotation-xml.js b/jax/output/SVG/autoload/annotation-xml.js
index 61eb846024..444950ef64 100644
--- a/jax/output/SVG/autoload/annotation-xml.js
+++ b/jax/output/SVG/autoload/annotation-xml.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/autoload/annotation-xml.js
+ *  /MathJax-v2/jax/output/SVG/autoload/annotation-xml.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG;var b=d.BBOX;b.FOREIGN=b.Subclass({type:"foreignObject",removeable:false});a["annotation-xml"].Augment({toSVG:function(){var f=this.SVG();this.SVGhandleSpace(f);var h=this.Get("encoding");for(var g=0,e=this.data.length;g<e;g++){f.Add(this.data[g].toSVG(h),f.w,0)}f.Clean();this.SVGhandleColor(f);this.SVGsaveData(f);return f}});a.xml.Augment({toSVG:function(e){var p=d.textSVG.parentNode;d.mathDiv.style.width="auto";p.insertBefore(this.div,d.textSVG);var q=this.div.offsetWidth,k=this.div.offsetHeight;var o=MathJax.HTML.addElement(this.div,"span",{style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});var n=this.div.offsetHeight-k;k-=n;this.div.removeChild(o);p.removeChild(this.div);d.mathDiv.style.width="";var g=1000/d.em;var l=b.FOREIGN({y:(-k)+"px",width:q+"px",height:(k+n)+"px",transform:"scale("+g+") matrix(1 0 0 -1 0 0)"});for(var j=0,f=this.data.length;j<f;j++){l.element.appendChild(this.data[j].cloneNode(true))}l.w=q*g;l.h=k*g;l.d=n*g;l.r=l.w;l.l=0;l.Clean();this.SVGsaveData(l);return l}});MathJax.Hub.Startup.signal.Post("SVG annotation-xml Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/annotation-xml.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG;var b=d.BBOX;b.FOREIGN=b.Subclass({type:"foreignObject",removeable:false});a["annotation-xml"].Augment({toSVG:function(){var f=this.SVG();this.SVGhandleSpace(f);var h=this.Get("encoding");for(var g=0,e=this.data.length;g<e;g++){f.Add(this.data[g].toSVG(h),f.w,0)}f.Clean();this.SVGhandleColor(f);this.SVGsaveData(f);return f}});a.xml.Augment({toSVG:function(e){var p=d.textSVG.parentNode;d.mathDiv.style.width="auto";p.insertBefore(this.div,d.textSVG);var q=this.div.offsetWidth,k=this.div.offsetHeight;var o=MathJax.HTML.addElement(this.div,"span",{style:{display:"inline-block",overflow:"hidden",height:k+"px",width:"1px",marginRight:"-1px"}});var n=this.div.offsetHeight-k;k-=n;this.div.removeChild(o);p.removeChild(this.div);d.mathDiv.style.width="";var g=1000/d.em;var l=b.FOREIGN({y:(-k)+"px",width:q+"px",height:(k+n)+"px",transform:"scale("+g+") matrix(1 0 0 -1 0 0)"});for(var j=0,f=this.data.length;j<f;j++){l.element.appendChild(this.data[j].cloneNode(true))}l.w=q*g;l.h=k*g;l.d=n*g;l.r=l.w;l.l=0;l.Clean();this.SVGsaveData(l);return l}});MathJax.Hub.Startup.signal.Post("SVG annotation-xml Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/annotation-xml.js")});
diff --git a/jax/output/SVG/autoload/maction.js b/jax/output/SVG/autoload/maction.js
index c3435483ff..87ffef78c1 100644
--- a/jax/output/SVG/autoload/maction.js
+++ b/jax/output/SVG/autoload/maction.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/autoload/maction.js
+ *  /MathJax-v2/jax/output/SVG/autoload/maction.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var f="2.7.6";var c=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG;var d,e,b;var a=g.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},g.config.tooltip||{});c.maction.Augment({SVGtooltip:MathJax.HTML.addElement(document.body,"div",{id:"MathJax_SVG_Tooltip"}),toSVG:function(h,k){this.SVGgetStyles();var i=this.SVG();var j=this.selected();if(j.type=="null"){this.SVGsaveData(i);return i}i.Add(this.SVGdataStretched(this.Get("selection")-1,h,k));i.removeable=false;this.SVGhandleHitBox(i);this.SVGhandleSpace(i);this.SVGhandleColor(i);this.SVGsaveData(i);return i},SVGhandleHitBox:function(h){var j=g.Element("rect",{width:h.w,height:h.h+h.d,y:-h.d,fill:"none","pointer-events":"all"});h.element.insertBefore(j,h.element.firstChild);var i=this.Get("actiontype");if(this.SVGaction[i]){this.SVGaction[i].call(this,h,h.element,this.Get("selection"))}},SVGstretchH:c.mbase.prototype.SVGstretchH,SVGstretchV:c.mbase.prototype.SVGstretchV,SVGaction:{toggle:function(h,j,i){this.selection=i;g.Element(j,{cursor:"pointer"});j.onclick=MathJax.Callback(["SVGclick",this])},statusline:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGsetStatus",this]),j.onmouseout=MathJax.Callback(["SVGclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGtooltipOver",this]),j.onmouseout=MathJax.Callback(["SVGtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}},SVGclick:function(j){this.selection++;if(this.selection>this.data.length){this.selection=1}var i=this;while(i.type!=="math"){i=i.inherit}var h=MathJax.Hub.getJaxFor(i.inputID);h.Update();return MathJax.Extension.MathEvents.Event.False(j)},SVGsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},SVGclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},SVGtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(e){clearTimeout(e)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["SVGtooltipPost",this,h+a.offsetX,k+a.offsetY]);e=setTimeout(j,a.delayPost)},SVGtooltipOut:function(h){if(e){clearTimeout(e);e=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["SVGtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},SVGtooltipPost:function(h,o){e=null;if(b){clearTimeout(b);b=null}var n=this.SVGtooltip;n.style.display="block";n.style.opacity="";if(this===d){return}n.style.left=h+"px";n.style.top=o+"px";n.innerHTML="";var k=MathJax.HTML.addElement(n,"span");var m=this;while(m.type!=="math"){m=m.inherit}var i=MathJax.Hub.getJaxFor(m.inputID);this.em=c.mbase.prototype.em=i.SVG.em;this.ex=i.SVG.ex;this.linebreakWidth=i.SVG.lineWidth;this.cwidth=i.SVG.cwidth;var j=this.data[1];m=c.math(j);try{m.toSVG(k,n)}catch(l){this.SetData(1,j);n.style.display="none";if(!l.restart){throw l}MathJax.Callback.After(["SVGtooltipPost",this,h,o],l.restart);return}this.SetData(1,j);d=this},SVGtooltipClear:function(i){var h=this.SVGtooltip;if(i<=0){h.style.display="none";h.style.opacity="";b=null}else{h.style.opacity=i/100;b=setTimeout(MathJax.Callback(["SVGtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("SVG maction Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/maction.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var f="2.7.9";var c=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG;var d,e,b;var a=g.config.tooltip=MathJax.Hub.Insert({delayPost:600,delayClear:600,offsetX:10,offsetY:5},g.config.tooltip||{});c.maction.Augment({SVGtooltip:MathJax.HTML.addElement(document.body,"div",{id:"MathJax_SVG_Tooltip"}),toSVG:function(h,k){this.SVGgetStyles();var i=this.SVG();var j=this.selected();if(j.type=="null"){this.SVGsaveData(i);return i}i.Add(this.SVGdataStretched(this.Get("selection")-1,h,k));i.removeable=false;this.SVGhandleHitBox(i);this.SVGhandleSpace(i);this.SVGhandleColor(i);this.SVGsaveData(i);return i},SVGhandleHitBox:function(h){var j=g.Element("rect",{width:h.w,height:h.h+h.d,y:-h.d,fill:"none","pointer-events":"all"});h.element.insertBefore(j,h.element.firstChild);var i=this.Get("actiontype");if(this.SVGaction[i]){this.SVGaction[i].call(this,h,h.element,this.Get("selection"))}},SVGstretchH:c.mbase.prototype.SVGstretchH,SVGstretchV:c.mbase.prototype.SVGstretchV,SVGaction:{toggle:function(h,j,i){this.selection=i;g.Element(j,{cursor:"pointer"});j.onclick=MathJax.Callback(["SVGclick",this])},statusline:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGsetStatus",this]),j.onmouseout=MathJax.Callback(["SVGclearStatus",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true},tooltip:function(h,j,i){j.onmouseover=MathJax.Callback(["SVGtooltipOver",this]),j.onmouseout=MathJax.Callback(["SVGtooltipOut",this]);j.onmouseover.autoReset=j.onmouseout.autoReset=true}},SVGclick:function(j){this.selection++;if(this.selection>this.data.length){this.selection=1}var i=this;while(i.type!=="math"){i=i.inherit}var h=MathJax.Hub.getJaxFor(i.inputID);h.Update();return MathJax.Extension.MathEvents.Event.False(j)},SVGsetStatus:function(h){this.messageID=MathJax.Message.Set((this.data[1]&&this.data[1].isToken)?this.data[1].data.join(""):this.data[1].toString())},SVGclearStatus:function(h){if(this.messageID){MathJax.Message.Clear(this.messageID,0)}delete this.messageID},SVGtooltipOver:function(i){if(!i){i=window.event}if(b){clearTimeout(b);b=null}if(e){clearTimeout(e)}var h=i.pageX;var k=i.pageY;if(h==null){h=i.clientX+document.body.scrollLeft+document.documentElement.scrollLeft;k=i.clientY+document.body.scrollTop+document.documentElement.scrollTop}var j=MathJax.Callback(["SVGtooltipPost",this,h+a.offsetX,k+a.offsetY]);e=setTimeout(j,a.delayPost)},SVGtooltipOut:function(h){if(e){clearTimeout(e);e=null}if(b){clearTimeout(b)}var i=MathJax.Callback(["SVGtooltipClear",this,80]);b=setTimeout(i,a.delayClear)},SVGtooltipPost:function(h,o){e=null;if(b){clearTimeout(b);b=null}var n=this.SVGtooltip;n.style.display="block";n.style.opacity="";if(this===d){return}n.style.left=h+"px";n.style.top=o+"px";n.innerHTML="";var k=MathJax.HTML.addElement(n,"span");var m=this;while(m.type!=="math"){m=m.inherit}var i=MathJax.Hub.getJaxFor(m.inputID);this.em=c.mbase.prototype.em=i.SVG.em;this.ex=i.SVG.ex;this.linebreakWidth=i.SVG.lineWidth;this.cwidth=i.SVG.cwidth;var j=this.data[1];m=c.math(j);try{m.toSVG(k,n)}catch(l){this.SetData(1,j);n.style.display="none";if(!l.restart){throw l}MathJax.Callback.After(["SVGtooltipPost",this,h,o],l.restart);return}this.SetData(1,j);d=this},SVGtooltipClear:function(i){var h=this.SVGtooltip;if(i<=0){h.style.display="none";h.style.opacity="";b=null}else{h.style.opacity=i/100;b=setTimeout(MathJax.Callback(["SVGtooltipClear",this,i-20]),50)}}});MathJax.Hub.Startup.signal.Post("SVG maction Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/maction.js")});
diff --git a/jax/output/SVG/autoload/menclose.js b/jax/output/SVG/autoload/menclose.js
index 2661cdff13..8d7eb5cc42 100644
--- a/jax/output/SVG/autoload/menclose.js
+++ b/jax/output/SVG/autoload/menclose.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/autoload/menclose.js
+ *  /MathJax-v2/jax/output/SVG/autoload/menclose.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;b.ELLIPSE=b.Subclass({type:"ellipse",removeable:false,Init:function(i,k,e,g,f,j){if(j==null){j={}}j.fill="none";if(f){j.stroke=f}j["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");j.cx=Math.floor(e/2);j.cy=Math.floor((i+k)/2-k);j.rx=Math.floor((e-g)/2);j.ry=Math.floor((i+k-g)/2);this.SUPER(arguments).Init.call(this,j);this.w=this.r=e;this.h=this.H=i;this.d=this.D=k;this.l=0}});b.DLINE=b.Subclass({type:"line",removeable:false,Init:function(i,l,e,g,f,j,k){if(k==null){k={}}k.fill="none";if(f){k.stroke=f}k["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");if(j=="up"){k.x1=Math.floor(g/2);k.y1=Math.floor(g/2-l);k.x2=Math.floor(e-g/2);k.y2=Math.floor(i-g/2)}else{k.x1=Math.floor(g/2);k.y1=Math.floor(i-g/2);k.x2=Math.floor(e-g/2);k.y2=Math.floor(g/2-l)}this.SUPER(arguments).Init.call(this,k);this.w=this.r=e;this.h=this.H=i;this.d=this.D=l;this.l=0}});b.FPOLY=b.Subclass({type:"polygon",removeable:false,Init:function(p,g,e){if(e==null){e={}}if(g){e.fill=g}var j=[],o=100000000,n=o,r=-o,q=r;for(var h=0,f=p.length;h<f;h++){var l=p[h][0],k=p[h][1];if(l>r){r=l}if(l<o){o=l}if(k>q){q=k}if(k<n){n=k}j.push(Math.floor(l)+","+Math.floor(k))}e.points=j.join(" ");this.SUPER(arguments).Init.call(this,e);this.w=this.r=r;this.h=this.H=q;this.d=this.D=-n;this.l=-o}});b.PPATH=b.Subclass({type:"path",removeable:false,Init:function(i,l,e,k,g,f,j){if(j==null){j={}}j.fill="none";if(f){j.stroke=f}j["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");j.d=k;this.SUPER(arguments).Init.call(this,j);this.w=this.r=e;this.h=this.H=i+l;this.d=this.D=this.l=0;this.y=-l}});a.menclose.Augment({toSVG:function(G,K){this.SVGgetStyles();var B=this.SVG(),P=this.SVGgetScale(B);this.SVGhandleSpace(B);var r=this.SVGdataStretched(0,G,K);var g=this.getValues("notation","thickness","padding","mathcolor","color");if(g.color&&!this.mathcolor){g.mathcolor=g.color}if(g.thickness==null){g.thickness=".075em"}if(g.padding==null){g.padding=".2em"}var C=this.SVGgetMu(B);var E=d.length2em(g.padding,C,1/d.em)*P;var z=d.length2em(g.thickness,C,1/d.em);z=Math.max(1/d.em,z);var u=r.h+E+z,A=r.d+E+z,k=r.w+2*(E+z);var y=0,v,M,L,I,q=[false,false,false,false];var j=MathJax.Hub.SplitList(g.notation),o={};for(L=0,I=j.length;L<I;L++){o[j[L]]=true}if(o[a.NOTATION.UPDIAGONALARROW]){o[a.NOTATION.UPDIAGONALSTRIKE]=false}for(var F in o){if(!o.hasOwnProperty(F)||!o[F]){continue}switch(F){case a.NOTATION.BOX:q=[true,true,true,true];break;case a.NOTATION.ROUNDEDBOX:B.Add(b.FRAME(u,A,k,z,"solid",g.mathcolor,{rx:Math.floor(Math.min(u+A-z,k-z)/4)}));break;case a.NOTATION.CIRCLE:B.Add(b.ELLIPSE(u,A,k,z,g.mathcolor));break;case a.NOTATION.ACTUARIAL:q[0]=true;case a.NOTATION.RIGHT:q[1]=true;break;case a.NOTATION.LEFT:q[3]=true;break;case a.NOTATION.TOP:q[0]=true;break;case a.NOTATION.BOTTOM:q[2]=true;break;case a.NOTATION.VERTICALSTRIKE:B.Add(b.VLINE(u+A,z,"solid",g.mathcolor),(k-z)/2,-A);break;case a.NOTATION.HORIZONTALSTRIKE:B.Add(b.HLINE(k,z,"solid",g.mathcolor),0,(u+A-z)/2-A);break;case a.NOTATION.UPDIAGONALSTRIKE:B.Add(b.DLINE(u,A,k,z,g.mathcolor,"up"));break;case a.NOTATION.UPDIAGONALARROW:var J=Math.sqrt(k*k+(u+A)*(u+A)),N=1/J*10/d.em*z/0.075;v=k*N;M=(u+A)*N;var s=0.4*M;B.Add(b.DLINE(u-0.5*M,A,k-0.5*v,z,g.mathcolor,"up"));B.Add(b.FPOLY([[s+v,M],[s-0.4*M,0.4*v],[s+0.3*v,0.3*M],[s+0.4*M,-0.4*v],[s+v,M]],g.mathcolor),k-v-s,u-M);break;case a.NOTATION.DOWNDIAGONALSTRIKE:B.Add(b.DLINE(u,A,k,z,g.mathcolor,"down"));break;case a.NOTATION.PHASORANGLE:q[2]=true;k-=2*E;E=(u+A)/2;k+=E;B.Add(b.DLINE(u,A,E,z,g.mathcolor,"up"));break;case a.NOTATION.MADRUWB:q[1]=q[2]=true;break;case a.NOTATION.RADICAL:B.Add(b.PPATH(u,A,k,"M "+this.SVGxy(z/2,0.4*(u+A))+" L "+this.SVGxy(E,z/2)+" L "+this.SVGxy(2*E,u+A-z/2)+" L "+this.SVGxy(k,u+A-z/2),z,g.mathcolor),0,z);y=E;break;case a.NOTATION.LONGDIV:B.Add(b.PPATH(u,A,k,"M "+this.SVGxy(z/2,z/2)+" a "+this.SVGxy(E,(u+A)/2-2*z)+" 0 0,1 "+this.SVGxy(z/2,u+A-z)+" L "+this.SVGxy(k,u+A-z/2),z,g.mathcolor),0,z/2);y=E;break}}var O=[["H",k,0,u-z],["V",u+A,k-z,-A],["H",k,0,-A],["V",u+A,0,-A]];for(L=0;L<4;L++){if(q[L]){var e=O[L];B.Add(b[e[0]+"LINE"](e[1],z,"solid",g.mathcolor),e[2],e[3])}}B.Add(r,y+E+z,0,false,true);B.Clean();this.SVGhandleSpace(B);this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGxy:function(e,f){return Math.floor(e)+","+Math.floor(f)}});MathJax.Hub.Startup.signal.Post("SVG menclose Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/menclose.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;b.ELLIPSE=b.Subclass({type:"ellipse",removeable:false,Init:function(i,k,e,g,f,j){if(j==null){j={}}j.fill="none";if(f){j.stroke=f}j["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");j.cx=Math.floor(e/2);j.cy=Math.floor((i+k)/2-k);j.rx=Math.floor((e-g)/2);j.ry=Math.floor((i+k-g)/2);this.SUPER(arguments).Init.call(this,j);this.w=this.r=e;this.h=this.H=i;this.d=this.D=k;this.l=0}});b.DLINE=b.Subclass({type:"line",removeable:false,Init:function(i,l,e,g,f,j,k){if(k==null){k={}}k.fill="none";if(f){k.stroke=f}k["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");if(j=="up"){k.x1=Math.floor(g/2);k.y1=Math.floor(g/2-l);k.x2=Math.floor(e-g/2);k.y2=Math.floor(i-g/2)}else{k.x1=Math.floor(g/2);k.y1=Math.floor(i-g/2);k.x2=Math.floor(e-g/2);k.y2=Math.floor(g/2-l)}this.SUPER(arguments).Init.call(this,k);this.w=this.r=e;this.h=this.H=i;this.d=this.D=l;this.l=0}});b.FPOLY=b.Subclass({type:"polygon",removeable:false,Init:function(p,g,e){if(e==null){e={}}if(g){e.fill=g}var j=[],o=100000000,n=o,r=-o,q=r;for(var h=0,f=p.length;h<f;h++){var l=p[h][0],k=p[h][1];if(l>r){r=l}if(l<o){o=l}if(k>q){q=k}if(k<n){n=k}j.push(Math.floor(l)+","+Math.floor(k))}e.points=j.join(" ");this.SUPER(arguments).Init.call(this,e);this.w=this.r=r;this.h=this.H=q;this.d=this.D=-n;this.l=-o}});b.PPATH=b.Subclass({type:"path",removeable:false,Init:function(i,l,e,k,g,f,j){if(j==null){j={}}j.fill="none";if(f){j.stroke=f}j["stroke-width"]=g.toFixed(2).replace(/\.?0+$/,"");j.d=k;this.SUPER(arguments).Init.call(this,j);this.w=this.r=e;this.h=this.H=i+l;this.d=this.D=this.l=0;this.y=-l}});a.menclose.Augment({toSVG:function(G,K){this.SVGgetStyles();var B=this.SVG(),P=this.SVGgetScale(B);this.SVGhandleSpace(B);var r=this.SVGdataStretched(0,G,K);var g=this.getValues("notation","thickness","padding","mathcolor","color");if(g.color&&!this.mathcolor){g.mathcolor=g.color}if(g.thickness==null){g.thickness=".075em"}if(g.padding==null){g.padding=".2em"}var C=this.SVGgetMu(B);var E=d.length2em(g.padding,C,1/d.em)*P;var z=d.length2em(g.thickness,C,1/d.em);z=Math.max(1/d.em,z);var u=r.h+E+z,A=r.d+E+z,k=r.w+2*(E+z);var y=0,v,M,L,I,q=[false,false,false,false];var j=MathJax.Hub.SplitList(g.notation),o={};for(L=0,I=j.length;L<I;L++){o[j[L]]=true}if(o[a.NOTATION.UPDIAGONALARROW]){o[a.NOTATION.UPDIAGONALSTRIKE]=false}for(var F in o){if(!o.hasOwnProperty(F)||!o[F]){continue}switch(F){case a.NOTATION.BOX:q=[true,true,true,true];break;case a.NOTATION.ROUNDEDBOX:B.Add(b.FRAME(u,A,k,z,"solid",g.mathcolor,{rx:Math.floor(Math.min(u+A-z,k-z)/4)}));break;case a.NOTATION.CIRCLE:B.Add(b.ELLIPSE(u,A,k,z,g.mathcolor));break;case a.NOTATION.ACTUARIAL:q[0]=true;case a.NOTATION.RIGHT:q[1]=true;break;case a.NOTATION.LEFT:q[3]=true;break;case a.NOTATION.TOP:q[0]=true;break;case a.NOTATION.BOTTOM:q[2]=true;break;case a.NOTATION.VERTICALSTRIKE:B.Add(b.VLINE(u+A,z,"solid",g.mathcolor),(k-z)/2,-A);break;case a.NOTATION.HORIZONTALSTRIKE:B.Add(b.HLINE(k,z,"solid",g.mathcolor),0,(u+A-z)/2-A);break;case a.NOTATION.UPDIAGONALSTRIKE:B.Add(b.DLINE(u,A,k,z,g.mathcolor,"up"));break;case a.NOTATION.UPDIAGONALARROW:var J=Math.sqrt(k*k+(u+A)*(u+A)),N=1/J*10/d.em*z/0.075;v=k*N;M=(u+A)*N;var s=0.4*M;B.Add(b.DLINE(u-0.5*M,A,k-0.5*v,z,g.mathcolor,"up"));B.Add(b.FPOLY([[s+v,M],[s-0.4*M,0.4*v],[s+0.3*v,0.3*M],[s+0.4*M,-0.4*v],[s+v,M]],g.mathcolor),k-v-s,u-M);break;case a.NOTATION.DOWNDIAGONALSTRIKE:B.Add(b.DLINE(u,A,k,z,g.mathcolor,"down"));break;case a.NOTATION.PHASORANGLE:q[2]=true;k-=2*E;E=(u+A)/2;k+=E;B.Add(b.DLINE(u,A,E,z,g.mathcolor,"up"));break;case a.NOTATION.MADRUWB:q[1]=q[2]=true;break;case a.NOTATION.RADICAL:B.Add(b.PPATH(u,A,k,"M "+this.SVGxy(z/2,0.4*(u+A))+" L "+this.SVGxy(E,z/2)+" L "+this.SVGxy(2*E,u+A-z/2)+" L "+this.SVGxy(k,u+A-z/2),z,g.mathcolor),0,z);y=E;break;case a.NOTATION.LONGDIV:B.Add(b.PPATH(u,A,k,"M "+this.SVGxy(z/2,z/2)+" a "+this.SVGxy(E,(u+A)/2-2*z)+" 0 0,1 "+this.SVGxy(z/2,u+A-z)+" L "+this.SVGxy(k,u+A-z/2),z,g.mathcolor),0,z/2);y=E;break}}var O=[["H",k,0,u-z],["V",u+A,k-z,-A],["H",k,0,-A],["V",u+A,0,-A]];for(L=0;L<4;L++){if(q[L]){var e=O[L];B.Add(b[e[0]+"LINE"](e[1],z,"solid",g.mathcolor),e[2],e[3])}}B.Add(r,y+E+z,0,false,true);B.Clean();this.SVGhandleSpace(B);this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGxy:function(e,f){return Math.floor(e)+","+Math.floor(f)}});MathJax.Hub.Startup.signal.Post("SVG menclose Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/menclose.js")});
diff --git a/jax/output/SVG/autoload/mglyph.js b/jax/output/SVG/autoload/mglyph.js
index f4078a10ae..c3f24c4d8f 100644
--- a/jax/output/SVG/autoload/mglyph.js
+++ b/jax/output/SVG/autoload/mglyph.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/autoload/mglyph.js
+ *  /MathJax-v2/jax/output/SVG/autoload/mglyph.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var d="2.7.6";var a=MathJax.ElementJax.mml,f=MathJax.OutputJax.SVG,b=f.BBOX,e=MathJax.Localization;var c="http://www.w3.org/1999/xlink";b.MGLYPH=b.Subclass({type:"image",removeable:false,Init:function(j,o,k,l,r,g){if(g==null){g={}}var i=j.width*1000/f.em,p=j.height*1000/f.em;var q=i,n=p,m=0;if(o!==""){i=f.length2em(o,r,q);p=(q?i/q*n:0)}if(k!==""){p=f.length2em(k,r,n);if(o===""){i=(n?p/n*q:0)}}if(l!==""&&l.match(/\d/)){m=f.length2em(l,r);g.y=-m}g.height=Math.floor(p);g.width=Math.floor(i);g.transform="translate(0,"+p+") matrix(1 0 0 -1 0 0)";g.preserveAspectRatio="none";this.SUPER(arguments).Init.call(this,g);this.element.setAttributeNS(c,"href",j.SRC);this.w=this.r=i;this.h=this.H=p+m;this.d=this.D=-m;this.l=0}});a.mglyph.Augment({toSVG:function(k,n){this.SVGgetStyles();var j=this.SVG(),i,l;this.SVGhandleSpace(j);var h=this.getValues("src","width","height","valign","alt");if(h.src===""){h=this.getValues("index","fontfamily");if(h.index){if(!n){n=this.SVGgetScale()}var m={};if(h.fontfamily){m["font-family"]=h.fontfamily}j.Add(b.TEXT(n,String.fromCharCode(h.index),m))}}else{if(!this.img){this.img=a.mglyph.GLYPH[h.src]}if(!this.img){this.img=a.mglyph.GLYPH[h.src]={img:new Image(),status:"pending"};i=this.img.img;i.onload=MathJax.Callback(["SVGimgLoaded",this]);i.onerror=MathJax.Callback(["SVGimgError",this]);i.src=i.SRC=h.src;MathJax.Hub.RestartAfter(i.onload)}if(this.img.status!=="OK"){l=a.Error(e._(["MathML","BadMglyph"],"Bad mglyph: %1",h.src),{mathsize:"75%"});this.Append(l);j=l.toSVG();this.data.pop()}else{var g=this.SVGgetMu(j);j.Add(b.MGLYPH(this.img.img,h.width,h.height,h.valign,g,{"aria-label":h.alt}))}}j.Clean();this.SVGhandleColor(j);this.SVGsaveData(j);return j},SVGimgLoaded:function(h,g){if(typeof(h)==="string"){g=h}this.img.status=(g||"OK")},SVGimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("SVG mglyph Ready");MathJax.Ajax.loadComplete(f.autoloadDir+"/mglyph.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var d="2.7.9";var a=MathJax.ElementJax.mml,f=MathJax.OutputJax.SVG,b=f.BBOX,e=MathJax.Localization;var c="http://www.w3.org/1999/xlink";b.MGLYPH=b.Subclass({type:"image",removeable:false,Init:function(k,p,l,m,s,j,g){if(g==null){g={}}var i=k.width*1000/f.em,q=k.height*1000/f.em;var r=i,o=q,n=0;if(p!==""){i=f.length2em(p,s,r)*j;q=(r?i/r*o:0)}if(l!==""){q=f.length2em(l,s,o)*j;if(p===""){i=(o?q/o*r:0)}}if(m!==""&&m.match(/\d/)){n=f.length2em(m,s)*j;g.y=-n}g.height=Math.floor(q);g.width=Math.floor(i);g.transform="translate(0,"+q+") matrix(1 0 0 -1 0 0)";g.preserveAspectRatio="none";this.SUPER(arguments).Init.call(this,g);this.element.setAttributeNS(c,"href",k.SRC);this.w=this.r=i;this.h=this.H=q+n;this.d=this.D=-n;this.l=0}});a.mglyph.Augment({toSVG:function(j,h){this.SVGgetStyles();var l=this.SVG(),k,i;this.SVGhandleSpace(l);var m=this.getValues("src","width","height","valign","alt");if(m.src===""){m=this.getValues("index","fontfamily");if(m.index){if(!h){h=this.SVGgetScale()}var g={};if(m.fontfamily){g["font-family"]=m.fontfamily}l.Add(b.TEXT(h,String.fromCharCode(m.index),g))}}else{if(!this.img){this.img=a.mglyph.GLYPH[m.src]}if(!this.img){this.img=a.mglyph.GLYPH[m.src]={img:new Image(),status:"pending"};k=this.img.img;k.onload=MathJax.Callback(["SVGimgLoaded",this]);k.onerror=MathJax.Callback(["SVGimgError",this]);k.src=k.SRC=m.src;MathJax.Hub.RestartAfter(k.onload)}if(this.img.status!=="OK"){i=a.Error(e._(["MathML","BadMglyph"],"Bad mglyph: %1",m.src),{mathsize:"75%"});this.Append(i);l=i.toSVG();this.data.pop()}else{var o=this.SVGgetMu(l);var n=this.SVGgetScale();l.Add(b.MGLYPH(this.img.img,m.width,m.height,m.valign,o,n,{"aria-label":m.alt}))}}l.Clean();this.SVGhandleColor(l);this.SVGsaveData(l);return l},SVGimgLoaded:function(h,g){if(typeof(h)==="string"){g=h}this.img.status=(g||"OK")},SVGimgError:function(){this.img.img.onload("error")}},{GLYPH:{}});MathJax.Hub.Startup.signal.Post("SVG mglyph Ready");MathJax.Ajax.loadComplete(f.autoloadDir+"/mglyph.js")});
diff --git a/jax/output/SVG/autoload/mmultiscripts.js b/jax/output/SVG/autoload/mmultiscripts.js
index a73b2f79f0..72ebc8f49d 100644
--- a/jax/output/SVG/autoload/mmultiscripts.js
+++ b/jax/output/SVG/autoload/mmultiscripts.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/autoload/mmultiscripts.js
+ *  /MathJax-v2/jax/output/SVG/autoload/mmultiscripts.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var b="2.7.6";var a=MathJax.ElementJax.mml,c=MathJax.OutputJax.SVG;a.mmultiscripts.Augment({toSVG:function(G,z){this.SVGgetStyles();var B=this.SVG(),N=this.SVGgetScale(B);this.SVGhandleSpace(B);var j=(this.data[this.base]?this.SVGdataStretched(this.base,G,z):c.BBOX.G().Clean());var K=c.TeX.x_height*N,y=c.TeX.scriptspace*N*0.75;var x=this.SVGgetScripts(y);var k=x[0],e=x[1],n=x[2],i=x[3];var g=(this.data[1]||this).SVGgetScale();var C=c.TeX.sup_drop*g,A=c.TeX.sub_drop*g;var o=j.h-C,m=j.d+A,L=0,F;if(j.ic){L=j.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(c.isChar(this.data[this.base].data.join(""))&&j.scale===1&&!j.stretched&&!this.data[this.base].Get("largeop")){o=m=0}}var H=this.getValues("subscriptshift","superscriptshift"),E=this.SVGgetMu(B);H.subscriptshift=(H.subscriptshift===""?0:c.length2em(H.subscriptshift,E));H.superscriptshift=(H.superscriptshift===""?0:c.length2em(H.superscriptshift,E));var l=0;if(n){l=n.w+L}else{if(i){l=i.w-L}}B.Add(j,Math.max(0,l),0);if(!e&&!i){m=Math.max(m,c.TeX.sub1*N,H.subscriptshift);if(k){m=Math.max(m,k.h-(4/5)*K)}if(n){m=Math.max(m,n.h-(4/5)*K)}if(k){B.Add(k,l+j.w+y-L,-m)}if(n){B.Add(n,0,-m)}}else{if(!k&&!n){var f=this.getValues("displaystyle","texprimestyle");F=c.TeX[(f.displaystyle?"sup1":(f.texprimestyle?"sup3":"sup2"))];o=Math.max(o,F*N,H.superscriptshift);if(e){o=Math.max(o,e.d+(1/4)*K)}if(i){o=Math.max(o,i.d+(1/4)*K)}if(e){B.Add(e,l+j.w+y,o)}if(i){B.Add(i,0,o)}}else{m=Math.max(m,c.TeX.sub2*N);var w=c.TeX.rule_thickness*N;var I=(k||n).h,J=(e||i).d;if(n){I=Math.max(I,n.h)}if(i){J=Math.max(J,i.d)}if((o-J)-(I-m)<3*w){m=3*w-o+J+I;C=(4/5)*K-(o-J);if(C>0){o+=C;m-=C}}o=Math.max(o,H.superscriptshift);m=Math.max(m,H.subscriptshift);if(e){B.Add(e,l+j.w+y,o)}if(i){B.Add(i,l+L-i.w,o)}if(k){B.Add(k,l+j.w+y-L,-m)}if(n){B.Add(n,l-n.w,-m)}}}B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);var M=this.SVGdata;M.dx=l;M.s=y;M.u=o,M.v=m;M.delta=L;return B},SVGgetScripts:function(r){var p,d,e=[];var o=1,h=this.data.length,g=0;for(var l=0;l<4;l+=2){while(o<h&&(this.data[o]||{}).type!=="mprescripts"){var q=[null,null,null,null];for(var n=l;n<l+2;n++){if(this.data[o]&&this.data[o].type!=="none"&&this.data[o].type!=="mprescripts"){if(!e[n]){e[n]=c.BBOX.G()}q[n]=this.data[o].toSVG()}if((this.data[o]||{}).type!=="mprescripts"){o++}}var f=(l===2);if(f){g+=Math.max((q[l]||{w:0}).w,(q[l+1]||{w:0}).w)}if(q[l]){e[l].Add(q[l].With({x:g-(f?q[l].w:0)}))}if(q[l+1]){e[l+1].Add(q[l+1].With({x:g-(f?q[l+1].w:0)}))}d=e[l]||{w:0};p=e[l+1]||{w:0};d.w=p.w=g=Math.max(d.w,p.w)}o++;g=0}for(n=0;n<4;n++){if(e[n]){e[n].w+=r;e[n].Clean()}}return e}});MathJax.Hub.Startup.signal.Post("SVG mmultiscripts Ready");MathJax.Ajax.loadComplete(c.autoloadDir+"/mmultiscripts.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var b="2.7.9";var a=MathJax.ElementJax.mml,c=MathJax.OutputJax.SVG;a.mmultiscripts.Augment({toSVG:function(G,z){this.SVGgetStyles();var B=this.SVG(),N=this.SVGgetScale(B);this.SVGhandleSpace(B);var j=(this.data[this.base]?this.SVGdataStretched(this.base,G,z):c.BBOX.G().Clean());var K=c.TeX.x_height*N,y=c.TeX.scriptspace*N*0.75;var x=this.SVGgetScripts(y);var k=x[0],e=x[1],n=x[2],i=x[3];var g=(this.data[1]||this).SVGgetScale();var C=c.TeX.sup_drop*g,A=c.TeX.sub_drop*g;var o=j.h-C,m=j.d+A,L=0,F;if(j.ic){L=j.ic}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(c.isChar(this.data[this.base].data.join(""))&&j.scale===1&&!j.stretched&&!this.data[this.base].Get("largeop")){o=m=0}}var H=this.getValues("subscriptshift","superscriptshift"),E=this.SVGgetMu(B);H.subscriptshift=(H.subscriptshift===""?0:c.length2em(H.subscriptshift,E));H.superscriptshift=(H.superscriptshift===""?0:c.length2em(H.superscriptshift,E));var l=0;if(n){l=n.w+L}else{if(i){l=i.w-L}}B.Add(j,Math.max(0,l),0);if(!e&&!i){m=Math.max(m,c.TeX.sub1*N,H.subscriptshift);if(k){m=Math.max(m,k.h-(4/5)*K)}if(n){m=Math.max(m,n.h-(4/5)*K)}if(k){B.Add(k,l+j.w+y-L,-m)}if(n){B.Add(n,0,-m)}}else{if(!k&&!n){var f=this.getValues("displaystyle","texprimestyle");F=c.TeX[(f.displaystyle?"sup1":(f.texprimestyle?"sup3":"sup2"))];o=Math.max(o,F*N,H.superscriptshift);if(e){o=Math.max(o,e.d+(1/4)*K)}if(i){o=Math.max(o,i.d+(1/4)*K)}if(e){B.Add(e,l+j.w+y,o)}if(i){B.Add(i,0,o)}}else{m=Math.max(m,c.TeX.sub2*N);var w=c.TeX.rule_thickness*N;var I=(k||n).h,J=(e||i).d;if(n){I=Math.max(I,n.h)}if(i){J=Math.max(J,i.d)}if((o-J)-(I-m)<3*w){m=3*w-o+J+I;C=(4/5)*K-(o-J);if(C>0){o+=C;m-=C}}o=Math.max(o,H.superscriptshift);m=Math.max(m,H.subscriptshift);if(e){B.Add(e,l+j.w+y,o)}if(i){B.Add(i,l+L-i.w,o)}if(k){B.Add(k,l+j.w+y-L,-m)}if(n){B.Add(n,l-n.w,-m)}}}B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);var M=this.SVGdata;M.dx=l;M.s=y;M.u=o,M.v=m;M.delta=L;return B},SVGgetScripts:function(r){var p,d,e=[];var o=1,h=this.data.length,g=0;for(var l=0;l<4;l+=2){while(o<h&&(this.data[o]||{}).type!=="mprescripts"){var q=[null,null,null,null];for(var n=l;n<l+2;n++){if(this.data[o]&&this.data[o].type!=="none"&&this.data[o].type!=="mprescripts"){if(!e[n]){e[n]=c.BBOX.G()}q[n]=this.data[o].toSVG()}if((this.data[o]||{}).type!=="mprescripts"){o++}}var f=(l===2);if(f){g+=Math.max((q[l]||{w:0}).w,(q[l+1]||{w:0}).w)}if(q[l]){e[l].Add(q[l].With({x:g-(f?q[l].w:0)}))}if(q[l+1]){e[l+1].Add(q[l+1].With({x:g-(f?q[l+1].w:0)}))}d=e[l]||{w:0};p=e[l+1]||{w:0};d.w=p.w=g=Math.max(d.w,p.w)}o++;g=0}for(n=0;n<4;n++){if(e[n]){e[n].w+=r;e[n].Clean()}}return e}});MathJax.Hub.Startup.signal.Post("SVG mmultiscripts Ready");MathJax.Ajax.loadComplete(c.autoloadDir+"/mmultiscripts.js")});
diff --git a/jax/output/SVG/autoload/ms.js b/jax/output/SVG/autoload/ms.js
index 6668f6b89a..11bf496511 100644
--- a/jax/output/SVG/autoload/ms.js
+++ b/jax/output/SVG/autoload/ms.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/autoload/ms.js
+ *  /MathJax-v2/jax/output/SVG/autoload/ms.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var b="2.7.6";var a=MathJax.ElementJax.mml,c=MathJax.OutputJax.SVG;a.ms.Augment({toSVG:function(){this.SVGgetStyles();var e=this.SVG();this.SVGhandleSpace(e);var d=this.getValues("lquote","rquote","mathvariant");if(!this.hasValue("lquote")||d.lquote==='"'){d.lquote="\u201C"}if(!this.hasValue("rquote")||d.rquote==='"'){d.rquote="\u201D"}if(d.lquote==="\u201C"&&d.mathvariant==="monospace"){d.lquote='"'}if(d.rquote==="\u201D"&&d.mathvariant==="monospace"){d.rquote='"'}var f=this.SVGgetVariant(),h=this.SVGgetScale();var g=d.lquote+this.data.join("")+d.rquote;e.Add(this.SVGhandleVariant(f,h,g));e.Clean();this.SVGhandleColor(e);this.SVGsaveData(e);return e}});MathJax.Hub.Startup.signal.Post("SVG ms Ready");MathJax.Ajax.loadComplete(c.autoloadDir+"/ms.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var b="2.7.9";var a=MathJax.ElementJax.mml,c=MathJax.OutputJax.SVG;a.ms.Augment({toSVG:function(){this.SVGgetStyles();var e=this.SVG();this.SVGhandleSpace(e);var d=this.getValues("lquote","rquote","mathvariant");if(!this.hasValue("lquote")||d.lquote==='"'){d.lquote="\u201C"}if(!this.hasValue("rquote")||d.rquote==='"'){d.rquote="\u201D"}if(d.lquote==="\u201C"&&d.mathvariant==="monospace"){d.lquote='"'}if(d.rquote==="\u201D"&&d.mathvariant==="monospace"){d.rquote='"'}var f=this.SVGgetVariant(),h=this.SVGgetScale();var g=d.lquote+this.data.join("")+d.rquote;e.Add(this.SVGhandleVariant(f,h,g));e.Clean();this.SVGhandleColor(e);this.SVGsaveData(e);return e}});MathJax.Hub.Startup.signal.Post("SVG ms Ready");MathJax.Ajax.loadComplete(c.autoloadDir+"/ms.js")});
diff --git a/jax/output/SVG/autoload/mtable.js b/jax/output/SVG/autoload/mtable.js
index 4a1baafc1a..c7638acc1c 100644
--- a/jax/output/SVG/autoload/mtable.js
+++ b/jax/output/SVG/autoload/mtable.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/autoload/mtable.js
+ *  /MathJax-v2/jax/output/SVG/autoload/mtable.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.6";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aI<aE;aI++){S=this.data[aI];az=(S.type==="mlabeledtr"?aK:0);O[aI]=[];z[aI]=ac;I[aI]=ag;for(aG=az,u=S.data.length+az;aG<u;aG++){if(k[aG]==null){if(aG>w){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aI<aE;aI++){am[aI]=d.length2em(am[aI],v)}for(aI=0,aE=T.length;aI<aE;aI++){T[aI]=d.length2em(T[aI],v)}while(am.length<w){am.push(am[am.length-1])}while(ai.length<=w){ai.push(ai[ai.length-1])}while(N.length<w){N.push(N[N.length-1])}while(ar.length<=w){ar.push(ar[ar.length-1])}while(T.length<O.length){T.push(T[T.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(h.length<O.length){h.push(h[h.length-1])}if(K[aK]){ai[aK]=(aN.side.substr(0,1)==="l"?"left":"right");am[aK]=-k[aK]}for(aI=0,aE=O.length;aI<aE;aI++){S=this.data[aI];aw[aI]=[];if(S.rowalign){L[aI]=S.rowalign}if(S.columnalign){aw[aI]=ao(S.columnalign);while(aw[aI].length<=w){aw[aI].push(aw[aI][aw[aI].length-1])}}}if(aN.equalrows){var U=Math.max.apply(Math,z),aq=Math.max.apply(Math,I);for(aI=0,aE=O.length;aI<aE;aI++){az=((U+aq)-(z[aI]+I[aI]))/2;z[aI]+=az;I[aI]+=az}}aA=z[0]+I[O.length-1];for(aI=0,aE=O.length-1;aI<aE;aI++){aA+=Math.max(0,I[aI]+z[aI+1]+T[aI])}var ae=0,ab=0,aB,aL=aA;if(aN.frame!=="none"||(aN.columnlines+aN.rowlines).match(/solid|dashed/)){var t=ao(aN.framespacing);if(t.length!=2){t=ao(this.defaults.framespacing)}ae=d.length2em(t[0],v);ab=d.length2em(t[1],v);aL=aA+2*ab}var g,ay,aD="";if(typeof(aN.align)!=="string"){aN.align=String(aN.align)}if(aN.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aD=RegExp.$3||"";aN.align=RegExp.$1}else{aN.align=this.defaults.align}if(aD!==""){aD=parseInt(aD);if(aD<0){aD=O.length+1+aD}if(aD<1){aD=1}else{if(aD>O.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI<aE;aI++){var Z=Math.max(0,I[aI]+z[aI+1]+T[aI]);g+=Z;ay+=Z}}else{g=({top:-(z[0]+ab),bottom:aA+ab-z[0],center:aA/2-z[0],baseline:aA/2-z[0],axis:aA/2+d.TeX.axis_height*ap-z[0]})[aN.align];ay=({top:-(aA+2*ab),bottom:0,center:-(aA/2+ab),baseline:-(aA/2+ab),axis:d.TeX.axis_height*ap-aA/2-ab})[aN.align]}var at,ax=0,V=0,X=0,aC=0,aJ=0,r=[],B=[],aj=1;if(aN.equalcolumns&&aN.width!=="auto"){at=d.length2em(aN.width,v);for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}at/=w;for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){k[aI]=at}}else{for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){if(ar[aI]==="auto"){V+=k[aI]}else{if(ar[aI]==="fit"){B[aJ]=aI;aJ++;V+=k[aI]}else{if(ar[aI].match(/%$/)){r[aC]=aI;aC++;X+=k[aI];ax+=d.length2em(ar[aI],v,1)}else{k[aI]=d.length2em(ar[aI],v);V+=k[aI]}}}}if(aN.width==="auto"){if(ax>0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}}for(aI=0,aE=r.length;aI<aE;aI++){k[r[aI]]=d.length2em(ar[r[aI]],v,at*aj);V+=k[r[aI]]}if(Math.abs(at-V)>0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aI<aE;aI++){k[B[aI]]+=at}}else{at=at/V;for(aG=0;aG<=w;aG++){k[aG]*=at}}}if(aN.equalcolumns){var af=Math.max.apply(Math,k);for(aG=0;aG<=w;aG++){k[aG]=af}}}var au=g,l,aF;az=(K[aK]?aK:0);for(aG=az;aG<=w;aG++){K[aG].w=k[aG];for(aI=0,aE=O.length;aI<aE;aI++){if(O[aI][aG]){az=(this.data[aI].type==="mlabeledtr"?aK:0);an=this.data[aI].data[aG-az];if(an.SVGcanStretch("Horizontal")){O[aI][aG]=an.SVGstretchH(k[aG])}else{if(an.SVGcanStretch("Vertical")){E=an.CoreMO();var ad=E.symmetric;E.symmetric=false;O[aI][aG]=an.SVGstretchV(z[aI],I[aI]);E.symmetric=ad}}aF=an.rowalign||this.data[aI].rowalign||L[aI];l=({top:z[aI]-O[aI][aG].h,bottom:O[aI][aG].d-I[aI],center:((z[aI]-I[aI])-(O[aI][aG].h-O[aI][aG].d))/2,baseline:0,axis:0})[aF]||0;aF=(an.columnalign||aw[aI][aG]||ai[aG]);K[aG].Align(O[aI][aG],aF,0,au+l)}if(aI<O.length-1){au-=Math.max(0,I[aI]+z[aI+1]+T[aI])}}au=g}var ah=1.5*d.em;var av=ae-ah/2;for(aG=0;aG<=w;aG++){o.Add(K[aG],av,0);av+=k[aG]+am[aG];if(N[aG]!=="none"&&aG<w&&aG!==aK){o.Add(b.VLINE(aL,ah,N[aG]),av-am[aG]/2,ay)}}o.w+=ae;o.d=-ay;o.h=aL+ay;aB=o.w;if(aN.frame!=="none"){o.Add(b.HLINE(aB,ah,aN.frame),0,ay+aL-ah);o.Add(b.HLINE(aB,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),aB-ah,ay)}au=g-ah/2;for(aI=0,aE=O.length-1;aI<aE;aI++){l=Math.max(0,I[aI]+z[aI+1]+T[aI]);if(h[aI]!==a.LINES.NONE&&h[aI]!==""){o.Add(b.HLINE(aB,ah,h[aI]),0,au-I[aI]-(l-I[aI]-z[aI+1])/2)}au-=l}o.Clean();this.SVGhandleSpace(o);this.SVGhandleColor(o);if(K[aK]){o.tw=Math.max(o.w,o.r)-Math.min(0,o.l);var R=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(R.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){R.indentalign=R.indentalignfirst}if(R.indentalign===a.INDENTALIGN.AUTO){R.indentalign=this.displayAlign}if(R.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){R.indentshift=R.indentshiftfirst}if(R.indentshift==="auto"||R.indentshift===""){R.indentshift="0"}var ak=d.length2em(R.indentshift,v,d.cwidth);var Q=d.length2em(aN.minlabelspacing,v,d.cwidth);var al=Q+K[aK].w,aO=0,aH=o.w;var e=d.length2em(this.displayIndent,v,d.cwidth);az=(ai[aK]===a.INDENTALIGN.RIGHT?-1:1);if(R.indentalign===a.INDENTALIGN.CENTER){var q=(d.cwidth-aH)/2;ak+=e;if(al+az*aO>q+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var c="2.7.9";var a=MathJax.ElementJax.mml,d=MathJax.OutputJax.SVG,b=d.BBOX;a.mtable.Augment({toSVG:function(aa){this.SVGgetStyles();var o=this.SVG(),ap=this.SVGgetScale(o);if(this.data.length===0){this.SVGsaveData(o);return o}var aN=this.getValues("columnalign","rowalign","columnspacing","rowspacing","columnwidth","equalcolumns","equalrows","columnlines","rowlines","frame","framespacing","align","useHeight","width","side","minlabelspacing");if(aN.width.match(/%$/)){o.width=aN.width=d.Em((d.cwidth/1000)*(parseFloat(aN.width)/100))}var v=this.SVGgetMu(o);var aK=-1;var z=[],I=[],k=[],O=[],K=[],aI,aG,w=-1,aE,u,az,S,an,E,aA;var ac=d.FONTDATA.lineH*ap*aN.useHeight,ag=d.FONTDATA.lineD*ap*aN.useHeight;for(aI=0,aE=this.data.length;aI<aE;aI++){S=this.data[aI];az=(S.type==="mlabeledtr"?aK:0);O[aI]=[];z[aI]=ac;I[aI]=ag;for(aG=az,u=S.data.length+az;aG<u;aG++){if(k[aG]==null){if(aG>w){w=aG}K[aG]=b.G();k[aG]=-d.BIGDIMEN}an=S.data[aG-az];O[aI][aG]=an.toSVG();if(an.isEmbellished()){E=an.CoreMO();var aM=E.Get("minsize",true);if(aM){if(E.SVGcanStretch("Vertical")){aA=E.SVGdata.h+E.SVGdata.d;if(aA){aM=d.length2em(aM,v,aA);if(aM*E.SVGdata.h/aA>z[aI]){z[aI]=aM*E.SVGdata.h/aA}if(aM*E.SVGdata.d/aA>I[aI]){I[aI]=aM*E.SVGdata.d/aA}}}else{if(E.SVGcanStretch("Horizontal")){aM=d.length2em(aM,v,E.SVGdata.w);if(aM>k[aG]){k[aG]=aM}}}}}if(O[aI][aG].h>z[aI]){z[aI]=O[aI][aG].h}if(O[aI][aG].d>I[aI]){I[aI]=O[aI][aG].d}if(O[aI][aG].w>k[aG]){k[aG]=O[aI][aG].w}}}var ao=MathJax.Hub.SplitList;var am=ao(aN.columnspacing),T=ao(aN.rowspacing),ai=ao(aN.columnalign),L=ao(aN.rowalign),N=ao(aN.columnlines),h=ao(aN.rowlines),ar=ao(aN.columnwidth),aw=[];for(aI=0,aE=am.length;aI<aE;aI++){am[aI]=d.length2em(am[aI],v)}for(aI=0,aE=T.length;aI<aE;aI++){T[aI]=d.length2em(T[aI],v)}while(am.length<w){am.push(am[am.length-1])}while(ai.length<=w){ai.push(ai[ai.length-1])}while(N.length<w){N.push(N[N.length-1])}while(ar.length<=w){ar.push(ar[ar.length-1])}while(T.length<O.length){T.push(T[T.length-1])}while(L.length<=O.length){L.push(L[L.length-1])}while(h.length<O.length){h.push(h[h.length-1])}if(K[aK]){ai[aK]=(aN.side.substr(0,1)==="l"?"left":"right");am[aK]=-k[aK]}for(aI=0,aE=O.length;aI<aE;aI++){S=this.data[aI];aw[aI]=[];if(S.rowalign){L[aI]=S.rowalign}if(S.columnalign){aw[aI]=ao(S.columnalign);while(aw[aI].length<=w){aw[aI].push(aw[aI][aw[aI].length-1])}}}if(aN.equalrows){var U=Math.max.apply(Math,z),aq=Math.max.apply(Math,I);for(aI=0,aE=O.length;aI<aE;aI++){az=((U+aq)-(z[aI]+I[aI]))/2;z[aI]+=az;I[aI]+=az}}aA=z[0]+I[O.length-1];for(aI=0,aE=O.length-1;aI<aE;aI++){aA+=Math.max(0,I[aI]+z[aI+1]+T[aI])}var ae=0,ab=0,aB,aL=aA;if(aN.frame!=="none"||(aN.columnlines+aN.rowlines).match(/solid|dashed/)){var t=ao(aN.framespacing);if(t.length!=2){t=ao(this.defaults.framespacing)}ae=d.length2em(t[0],v);ab=d.length2em(t[1],v);aL=aA+2*ab}var g,ay,aD="";if(typeof(aN.align)!=="string"){aN.align=String(aN.align)}if(aN.align.match(/(top|bottom|center|baseline|axis)( +(-?\d+))?/)){aD=RegExp.$3||"";aN.align=RegExp.$1}else{aN.align=this.defaults.align}if(aD!==""){aD=parseInt(aD);if(aD<0){aD=O.length+1+aD}if(aD<1){aD=1}else{if(aD>O.length){aD=O.length}}g=0;ay=-(aA+ab)+z[0];for(aI=0,aE=aD-1;aI<aE;aI++){var Z=Math.max(0,I[aI]+z[aI+1]+T[aI]);g+=Z;ay+=Z}}else{g=({top:-(z[0]+ab),bottom:aA+ab-z[0],center:aA/2-z[0],baseline:aA/2-z[0],axis:aA/2+d.TeX.axis_height*ap-z[0]})[aN.align];ay=({top:-(aA+2*ab),bottom:0,center:-(aA/2+ab),baseline:-(aA/2+ab),axis:d.TeX.axis_height*ap-aA/2-ab})[aN.align]}var at,ax=0,V=0,X=0,aC=0,aJ=0,r=[],B=[],aj=1;if(aN.equalcolumns&&aN.width!=="auto"){at=d.length2em(aN.width,v);for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}at/=w;for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){k[aI]=at}}else{for(aI=0,aE=Math.min(w+1,ar.length);aI<aE;aI++){if(ar[aI]==="auto"){V+=k[aI]}else{if(ar[aI]==="fit"){B[aJ]=aI;aJ++;V+=k[aI]}else{if(ar[aI].match(/%$/)){r[aC]=aI;aC++;X+=k[aI];ax+=d.length2em(ar[aI],v,1)}else{k[aI]=d.length2em(ar[aI],v);V+=k[aI]}}}}if(aN.width==="auto"){if(ax>0.98){aj=X/(V+X);at=V+X}else{at=V/(1-ax)}}else{at=Math.max(V+X,d.length2em(aN.width,v));for(aI=0,aE=Math.min(w,am.length);aI<aE;aI++){at-=am[aI]}}for(aI=0,aE=r.length;aI<aE;aI++){k[r[aI]]=d.length2em(ar[r[aI]],v,at*aj);V+=k[r[aI]]}if(Math.abs(at-V)>0.01){if(aJ&&at>V){at=(at-V)/aJ;for(aI=0,aE=B.length;aI<aE;aI++){k[B[aI]]+=at}}else{at=at/V;for(aG=0;aG<=w;aG++){k[aG]*=at}}}if(aN.equalcolumns){var af=Math.max.apply(Math,k);for(aG=0;aG<=w;aG++){k[aG]=af}}}var au=g,l,aF;az=(K[aK]?aK:0);for(aG=az;aG<=w;aG++){K[aG].w=k[aG];for(aI=0,aE=O.length;aI<aE;aI++){if(O[aI][aG]){az=(this.data[aI].type==="mlabeledtr"?aK:0);an=this.data[aI].data[aG-az];if(an.SVGcanStretch("Horizontal")){O[aI][aG]=an.SVGstretchH(k[aG])}else{if(an.SVGcanStretch("Vertical")){E=an.CoreMO();var ad=E.symmetric;E.symmetric=false;O[aI][aG]=an.SVGstretchV(z[aI],I[aI]);E.symmetric=ad}}aF=an.rowalign||this.data[aI].rowalign||L[aI];l=({top:z[aI]-O[aI][aG].h,bottom:O[aI][aG].d-I[aI],center:((z[aI]-I[aI])-(O[aI][aG].h-O[aI][aG].d))/2,baseline:0,axis:0})[aF]||0;aF=(an.columnalign||aw[aI][aG]||ai[aG]);K[aG].Align(O[aI][aG],aF,0,au+l)}if(aI<O.length-1){au-=Math.max(0,I[aI]+z[aI+1]+T[aI])}}au=g}var ah=1.5*d.em;var av=ae-ah/2;for(aG=0;aG<=w;aG++){o.Add(K[aG],av,0);av+=k[aG]+am[aG];if(N[aG]!=="none"&&aG<w&&aG!==aK){o.Add(b.VLINE(aL,ah,N[aG]),av-am[aG]/2,ay)}}o.w+=ae;o.d=-ay;o.h=aL+ay;aB=o.w;if(aN.frame!=="none"){o.Add(b.HLINE(aB,ah,aN.frame),0,ay+aL-ah);o.Add(b.HLINE(aB,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),0,ay);o.Add(b.VLINE(aL,ah,aN.frame),aB-ah,ay)}au=g-ah/2;for(aI=0,aE=O.length-1;aI<aE;aI++){l=Math.max(0,I[aI]+z[aI+1]+T[aI]);if(h[aI]!==a.LINES.NONE&&h[aI]!==""){o.Add(b.HLINE(aB,ah,h[aI]),0,au-I[aI]-(l-I[aI]-z[aI+1])/2)}au-=l}o.Clean();this.SVGhandleSpace(o);this.SVGhandleColor(o);if(K[aK]){o.tw=Math.max(o.w,o.r)-Math.min(0,o.l);var R=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(R.indentalignfirst!==a.INDENTALIGN.INDENTALIGN){R.indentalign=R.indentalignfirst}if(R.indentalign===a.INDENTALIGN.AUTO){R.indentalign=this.displayAlign}if(R.indentshiftfirst!==a.INDENTSHIFT.INDENTSHIFT){R.indentshift=R.indentshiftfirst}if(R.indentshift==="auto"||R.indentshift===""){R.indentshift="0"}var ak=d.length2em(R.indentshift,v,d.cwidth);var Q=d.length2em(aN.minlabelspacing,v,d.cwidth);var al=Q+K[aK].w,aO=0,aH=o.w;var e=d.length2em(this.displayIndent,v,d.cwidth);az=(ai[aK]===a.INDENTALIGN.RIGHT?-1:1);if(R.indentalign===a.INDENTALIGN.CENTER){var q=(d.cwidth-aH)/2;ak+=e;if(al+az*aO>q+az*ak){R.indentalign=ai[aK];ak=az*(al+az*aO);aH+=al+Math.max(0,ak)}}else{if(ai[aK]===R.indentalign){if(e<0){aO=az*e;e=0}ak+=az*e;if(al>az*ak){ak=az*al}ak+=aO;aH+=az*ak}else{ak-=az*e;if(aH-az*ak+al>d.cwidth){ak=az*(aH+al-d.cwidth);if(az*ak>0){aH=d.cwidth+az*ak;ak=0}}}}var G=o;o=this.SVG();o.hasIndent=true;o.w=o.r=Math.max(aH,d.cwidth);o.Align(K[aK],ai[aK],0,0,aO);o.Align(G,R.indentalign,0,0,ak);o.tw=aH}this.SVGsaveData(o);return o},SVGhandleSpace:function(e){if(!this.hasFrame&&!e.width){e.x=e.X=167}this.SUPER(arguments).SVGhandleSpace.call(this,e)}});a.mtd.Augment({toSVG:function(e,g){var f=this.svg=this.SVG();if(this.data[0]){f.Add(this.SVGdataStretched(0,e,g));f.Clean()}this.SVGhandleColor(f);this.SVGsaveData(f);return f}});MathJax.Hub.Startup.signal.Post("SVG mtable Ready");MathJax.Ajax.loadComplete(d.autoloadDir+"/mtable.js")});
diff --git a/jax/output/SVG/autoload/multiline.js b/jax/output/SVG/autoload/multiline.js
index 5234d11f86..e38348b597 100644
--- a/jax/output/SVG/autoload/multiline.js
+++ b/jax/output/SVG/autoload/multiline.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/autoload/multiline.js
+ *  /MathJax-v2/jax/output/SVG/autoload/multiline.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var d="2.7.6";var a=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG,b=g.BBOX;var f=a.mo().With({SVGdata:{w:0,x:0}});var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mrow.Augment({SVGmultiline:function(l){var p=this;while(p.inferred||(p.parent&&p.parent.type==="mrow"&&p.isEmbellished())){p=p.parent}var o=((p.type==="math"&&p.Get("display")==="block")||p.type==="mtd");p.isMultiline=true;var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}q.lineleading=g.length2em(q.lineleading,1,0.5);l=this.SVG();if(o&&p.type!=="mtd"){if(g.linebreakWidth<g.BIGDIMEN){l.w=g.linebreakWidth}else{l.w=g.cwidth}}var h={n:0,Y:0,scale:this.scale||1,isTop:o,values:{},VALUES:q},n=this.SVGgetAlign(h,{}),j=this.SVGgetShift(h,{},n),i=[],k={index:[],penalty:e.nobreak,w:0,W:j,shift:j,scanW:j,nest:0},m=false;while(this.SVGbetterBreak(k,h,true)&&(k.scanW>=g.linebreakWidth||k.penalty===e.newline)){this.SVGaddLine(l,i,k.index,h,k.values,m);i=k.index.slice(0);m=true;n=this.SVGgetAlign(h,k.values);j=this.SVGgetShift(h,k.values,n);if(n===a.INDENTALIGN.CENTER){j=0}k.W=k.shift=k.scanW=j;k.penalty=e.nobreak}h.isLast=true;this.SVGaddLine(l,i,[],h,c,m);this.SVGhandleSpace(l);this.SVGhandleColor(l);l.isMultiline=true;this.SVGsaveData(l);return l}});a.mbase.Augment({SVGlinebreakPenalty:e,SVGbetterBreak:function(l,h,s){if(this.isToken){return false}if(this.isEmbellished()){l.embellished=this;return this.CoreMO().SVGbetterBreak(l,h)}if(this.linebreakContainer){return false}var r=l.index.slice(0),p=l.index.shift(),o=this.data.length,n,t,k,q=(l.index.length>0),j=false;if(p==null){p=-1}if(!q){p++;l.W+=l.w;l.w=0}k=l.scanW=l.W;l.nest++;while(p<o&&(l.scanW<e.maxwidth*g.linebreakWidth||l.w===0)){if(this.data[p]){if(this.data[p].SVGbetterBreak(l,h)){j=true;r=[p].concat(l.index);n=l.W;t=l.w;if(l.penalty===e.newline){l.index=r;if(l.nest){l.nest--}return true}}k=(q?l.scanW:this.SVGaddWidth(p,l,k))}l.index=[];p++;q=false}if(s&&j){f.parent=this.parent;f.inherit=this.inherit;if(f.SVGbetterBreak(l,h)){j=false;r=l.index}}if(l.nest){l.nest--}l.index=r;if(j){l.W=n}return j},SVGaddWidth:function(j,l,k){if(this.data[j]){var h=this.data[j].SVGdata;k+=h.w+h.x;if(h.X){k+=h.X}l.W=l.scanW=k;l.w=0}return k},SVGaddLine:function(m,i,l,h,q,o){var r=b();h.first=o;h.last=true;this.SVGmoveLine(i,l,r,h,q);r.Clean();var p=this.SVGgetAlign(h,q),j=this.SVGgetShift(h,q,p);if(h.n>0){var n=g.FONTDATA.baselineskip*h.scale;var k=(h.values.lineleading==null?h.VALUES:h.values).lineleading*h.scale;h.Y-=Math.max(n,h.d+r.h+k)}if(r.w+j>m.w){m.w=r.w+j}m.Align(r,p,0,h.Y,j);h.d=r.d;h.values=q;h.n++},SVGgetAlign:function(k,h){var l=h,i=k.values,j=k.VALUES,m;if(k.n===0){m=l.indentalignfirst||i.indentalignfirst||j.indentalignfirst}else{if(k.isLast){m=i.indentalignlast||j.indentalignlast}else{m=i.indentalign||j.indentalign}}if(m===a.INDENTALIGN.INDENTALIGN){m=i.indentalign||j.indentalign}if(m===a.INDENTALIGN.AUTO){m=(k.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return m},SVGgetShift:function(m,j,o){var n=j,k=m.values,l=m.VALUES,i;if(m.n===0){i=n.indentshiftfirst||k.indentshiftfirst||l.indentshiftfirst}else{if(m.isLast){i=k.indentshiftlast||l.indentshiftlast}else{i=k.indentshift||l.indentshift}}if(i===a.INDENTSHIFT.INDENTSHIFT){i=k.indentshift||l.indentshift}if(i==="auto"||i===""){i="0"}i=g.length2em(i,1,g.cwidth);if(m.isTop&&this.displayIndent!=="0"){var h=g.length2em(this.displayIndent,1,g.cwidth);i+=(o===a.INDENTALIGN.RIGHT?-h:h)}return i},SVGmoveLine:function(q,h,l,p,k){var n=q[0],m=h[0];if(n==null){n=-1}if(m==null){m=this.data.length-1}if(n===m&&q.length>1){this.data[n].SVGmoveSlice(q.slice(1),h.slice(1),l,p,k,"paddingLeft")}else{var o=p.last;p.last=false;while(n<m){if(this.data[n]){if(q.length<=1){this.data[n].SVGmove(l,p,k)}else{this.data[n].SVGmoveSlice(q.slice(1),[],l,p,k,"paddingLeft")}}n++;p.first=false;q=[]}p.last=o;if(this.data[n]){if(h.length<=1){this.data[n].SVGmove(l,p,k)}else{this.data[n].SVGmoveSlice([],h.slice(1),l,p,k,"paddingRight")}}}},SVGmoveSlice:function(n,h,j,k,i,l){var m=b();this.SVGmoveLine(n,h,m,k,i);m.Clean();if(this.href){this.SVGaddHref(m)}this.SVGhandleColor(m);if(n.length==0){this.SVGhandleSpace(m)}j.Add(m,j.w,0,true);return m},SVGmove:function(h,k,j){if(!(k.first||k.last)||(k.first&&k.values.linebreakstyle===a.LINEBREAKSTYLE.BEFORE)||(k.last&&j.linebreakstyle===a.LINEBREAKSTYLE.AFTER)){var i=this.toSVG(this.SVGdata.HW,this.SVGdata.D);if(k.first||k.nextIsFirst){i.x=0}if(k.last&&i.X){i.X=0}h.Add(i,h.w,0,true)}if(k.first&&i&&i.w===0){k.nextIsFirst=true}else{delete k.nextIsFirst}}});a.mfenced.Augment({SVGbetterBreak:function(n,h){var v=n.index.slice(0),t=n.index.shift(),q=this.data.length,p,x,o,u=(n.index.length>0),l=false;if(t==null){t=-1}if(!u){t++;n.W+=n.w;n.w=0}o=n.scanW=n.W;n.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(q){this.dataI.push(0)}for(var s=1;s<q;s++){if(this.data["sep"+s]){this.dataI.push("sep"+s)}this.dataI.push(s)}if(this.data.close){this.dataI.push("close")}}q=this.dataI.length;while(t<q&&(n.scanW<e.maxwidth*g.linebreakWidth||n.w===0)){var r=this.dataI[t];if(this.data[r]){if(this.data[r].SVGbetterBreak(n,h)){l=true;v=[t].concat(n.index);p=n.W;x=n.w;if(n.penalty===e.newline){n.index=v;if(n.nest){n.nest--}return true}}o=(u?n.scanW:this.SVGaddWidth(t,n,o))}n.index=[];t++;u=false}if(n.nest){n.nest--}n.index=v;if(l){n.W=p;n.w=x}return l},SVGmoveLine:function(l,n,q,h,s){var p=l[0],o=n[0];if(p==null){p=-1}if(o==null){o=this.dataI.length-1}if(p===o&&l.length>1){this.data[this.dataI[p]].SVGmoveSlice(l.slice(1),n.slice(1),q,h,s,"paddingLeft")}else{var r=h.last;h.last=false;var m=this.dataI[p];while(p<o){if(this.data[m]){if(l.length<=1){this.data[m].SVGmove(q,h,s)}else{this.data[m].SVGmoveSlice(l.slice(1),[],q,h,s,"paddingLeft")}}p++;m=this.dataI[p];h.first=false;l=[]}h.last=r;if(this.data[m]){if(n.length<=1){this.data[m].SVGmove(q,h,s)}else{this.data[m].SVGmoveSlice([],n.slice(1),q,h,s,"paddingRight")}}}}});a.msubsup.Augment({SVGbetterBreak:function(k,h){if(!this.data[this.base]){return false}var p=k.index.slice(0),n=k.index.shift(),m,q,l,o=(k.index.length>0),j=false;if(!o){k.W+=k.w;k.w=0}l=k.scanW=k.W;if(n==null){this.SVGdata.dw=this.SVGdata.w-this.data[this.base].SVGdata.w}if(this.data[this.base].SVGbetterBreak(k,h)){j=true;p=[this.base].concat(k.index);m=k.W;q=k.w;if(k.penalty===e.newline){j=o=true}}if(!o){this.SVGaddWidth(this.base,k,l)}k.scanW+=this.SVGdata.dw;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=q;k.index=p}return j},SVGmoveLine:function(j,k,n,i,p){if(this.data[this.base]){if(j.length>1){this.data[this.base].SVGmoveSlice(j.slice(1),k.slice(1),n,i,p,"paddingLeft")}else{if(k.length<=1){this.data[this.base].SVGmove(n,i,p)}else{this.data[this.base].SVGmoveSlice([],k.slice(1),n,i,p,"paddingRight")}}}if(k.length===0){var m=this.data[this.sup],h=this.data[this.sub],o=n.w,l;if(m){l=m.SVGdata||{};n.Add(m.toSVG(),o+(l.dx||0),l.dy)}if(h){l=h.SVGdata||{};n.Add(h.toSVG(),o+(l.dx||0),l.dy)}}}});a.mmultiscripts.Augment({SVGbetterBreak:function(k,i){if(!this.data[this.base]){return false}var o=k.index.slice(0);k.index.shift();var m,p,l,n=(k.index.length>0),j=false;if(!n){k.W+=k.w;k.w=0}k.scanW=k.W;var h=this.SVGdata.w-this.data[this.base].SVGdata.w-this.SVGdata.dx;k.scanW+=this.SVGdata.dx;l=k.scanW;if(this.data[this.base].SVGbetterBreak(k,i)){j=true;o=[this.base].concat(k.index);m=k.W;p=k.w;if(k.penalty===e.newline){j=n=true}}if(!n){this.SVGaddWidth(this.base,k,l)}k.scanW+=h;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=p;k.index=o}return j},SVGmoveLine:function(j,l,o,i,q){var r,n=this.SVGdata;if(j.length<1){this.scriptBox=this.SVGgetScripts(this.SVGdata.s);var k=this.scriptBox[2],p=this.scriptBox[3];r=o.w+n.dx;if(p){o.Add(p,r+n.delta-p.w,n.u)}if(k){o.Add(k,r-k.w,-n.v)}}if(this.data[this.base]){if(j.length>1){this.data[this.base].SVGmoveSlice(j.slice(1),l.slice(1),o,i,q,"paddingLeft")}else{if(l.length<=1){this.data[this.base].SVGmove(o,i,q)}else{this.data[this.base].SVGmoveSlice([],l.slice(1),o,i,q,"paddingRight")}}}if(l.length===0){var h=this.scriptBox[0],m=this.scriptBox[1];r=o.w+n.s;if(m){o.Add(m,r,n.u)}if(h){o.Add(h,r-n.delta,-n.v)}delete this.scriptBox}}});a.mo.Augment({SVGbetterBreak:function(j,h){if(j.values&&j.values.last===this){return false}var r=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(r.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){r.linebreakstyle=this.Get("infixlinebreakstyle")}if(r.texClass===a.TEXCLASS.OPEN){j.nest++}if(r.texClass===a.TEXCLASS.CLOSE&&j.nest){j.nest--}var k=j.scanW,l=j.embellished;delete j.embellished;if(!l||!l.SVGdata){l=this}var n=l.SVGdata,q=n.w+n.x;if(r.linebreakstyle===a.LINEBREAKSTYLE.AFTER){k+=q;q=0}if(k-j.shift===0&&r.linebreak!==a.LINEBREAK.NEWLINE){return false}var m=g.linebreakWidth-k;if(h.n===0&&(r.indentshiftfirst!==h.VALUES.indentshiftfirst||r.indentalignfirst!==h.VALUES.indentalignfirst)){var o=this.SVGgetAlign(h,r),i=this.SVGgetShift(h,r,o);m+=(j.shift-i)}var p=Math.floor(m/g.linebreakWidth*1000);if(p<0){p=e.toobig-3*p}if(r.fence){p+=e.fence}if((r.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&r.texClass===a.TEXCLASS.OPEN)||r.texClass===a.TEXCLASS.CLOSE){p+=e.close}p+=j.nest*e.nestfactor;var s=e[r.linebreak||a.LINEBREAK.AUTO]||0;if(!MathJax.Object.isArray(s)){if(s||m>=0){p=s*j.nest}}else{p=Math.max(1,p+s[0]*j.nest)}if(p>=j.penalty){return false}j.penalty=p;j.values=r;j.W=k;j.w=q;r.lineleading=g.length2em(r.lineleading,1,h.VALUES.lineleading);r.last=this;return true}});a.mspace.Augment({SVGbetterBreak:function(i,h){if(i.values&&i.values.last===this){return false}var p=this.getValues("linebreak");var n=p.linebreak;if(!n||this.hasDimAttr()){n=a.LINEBREAK.AUTO}var j=i.scanW,l=this.SVGdata,o=l.w+l.x;if(j-i.shift===0){return false}var k=g.linebreakWidth-j;var m=Math.floor(k/g.linebreakWidth*1000);if(m<0){m=e.toobig-3*m}m+=i.nest*e.nestfactor;var q=e[n]||0;if(n===a.LINEBREAK.AUTO&&o>=e.spacelimit*1000&&!this.mathbackground&&!this.backrgound){q=[(o/1000+e.spaceoffset)*e.spacefactor]}if(!MathJax.Object.isArray(q)){if(q||k>=0){m=q*i.nest}}else{m=Math.max(1,m+q[0]*i.nest)}if(m>=i.penalty){return false}i.penalty=m;i.values=p;i.W=j;i.w=o;p.lineleading=h.VALUES.lineleading;p.linebreakstyle="before";p.last=this;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({SVGbetterBreak:function(i,h){return this.Core().SVGbetterBreak(i,h)},SVGmoveLine:function(l,h,j,k,i){return this.Core().SVGmoveSlice(l,h,j,k,i)}})});a.maction.Augment({SVGbetterBreak:function(i,h){return this.Core().SVGbetterBreak(i,h)},SVGmoveLine:function(l,h,j,k,i){return this.Core().SVGmoveSlice(l,h,j,k,i)},});a.semantics.Augment({SVGbetterBreak:function(i,h){return(this.data[0]?this.data[0].SVGbetterBreak(i,h):false)},SVGmoveLine:function(l,h,j,k,i){return(this.data[0]?this.data[0].SVGmoveSlice(l,h,j,k,i):null)}});MathJax.Hub.Startup.signal.Post("SVG multiline Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/multiline.js")});
+MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){var d="2.7.9";var a=MathJax.ElementJax.mml,g=MathJax.OutputJax.SVG,b=g.BBOX;var f=a.mo().With({SVGdata:{w:0,x:0}});var e={newline:0,nobreak:1000000,goodbreak:[-200],badbreak:[+200],auto:[0],maxwidth:1.33,toobig:800,nestfactor:400,spacefactor:-100,spaceoffset:2,spacelimit:1,fence:500,close:500};var c={linebreakstyle:"after"};a.mrow.Augment({SVGmultiline:function(l){var p=this;while(p.inferred||(p.parent&&p.parent.type==="mrow"&&p.isEmbellished())){p=p.parent}var o=((p.type==="math"&&p.Get("display")==="block")||p.type==="mtd");p.isMultiline=true;var q=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast");if(q.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){q.linebreakstyle=this.Get("infixlinebreakstyle")}q.lineleading=g.length2em(q.lineleading,1,0.5);l=this.SVG();if(p.type==="math"){if(g.linebreakWidth<g.BIGDIMEN){l.w=g.linebreakWidth}else{l.w=g.cwidth}}var h={n:0,Y:0,scale:this.scale||1,isTop:o,values:{},VALUES:q},n=this.SVGgetAlign(h,{}),j=this.SVGgetShift(h,{},n),i=[],k={index:[],penalty:e.nobreak,w:0,W:j,shift:j,scanW:j,nest:0},m=false;while(this.SVGbetterBreak(k,h,true)&&(k.scanW>=g.linebreakWidth||k.penalty===e.newline)){this.SVGaddLine(l,i,k.index,h,k.values,m);i=k.index.slice(0);m=true;n=this.SVGgetAlign(h,k.values);j=this.SVGgetShift(h,k.values,n);if(n===a.INDENTALIGN.CENTER){j=0}k.W=k.shift=k.scanW=j;k.penalty=e.nobreak}h.isLast=true;this.SVGaddLine(l,i,[],h,c,m);this.SVGhandleSpace(l);this.SVGhandleColor(l);l.isMultiline=true;this.SVGsaveData(l);return l}});a.mbase.Augment({SVGlinebreakPenalty:e,SVGbetterBreak:function(l,h,s){if(this.isToken){return false}if(this.isEmbellished()){l.embellished=this;return this.CoreMO().SVGbetterBreak(l,h)}if(this.linebreakContainer){return false}var r=l.index.slice(0),p=l.index.shift(),o=this.data.length,n,t,k,q=(l.index.length>0),j=false;if(p==null){p=-1}if(!q){p++;l.W+=l.w;l.w=0}k=l.scanW=l.W;l.nest++;while(p<o&&(l.scanW<e.maxwidth*g.linebreakWidth||l.w===0)){if(this.data[p]){if(this.data[p].SVGbetterBreak(l,h)){j=true;r=[p].concat(l.index);n=l.W;t=l.w;if(l.penalty===e.newline){l.index=r;if(l.nest){l.nest--}return true}}k=(q?l.scanW:this.SVGaddWidth(p,l,k))}l.index=[];p++;q=false}if(s&&j){f.parent=this.parent;f.inherit=this.inherit;if(f.SVGbetterBreak(l,h)){j=false;r=l.index}}if(l.nest){l.nest--}l.index=r;if(j){l.W=n}return j},SVGaddWidth:function(j,l,k){if(this.data[j]){var h=this.data[j].SVGdata;k+=h.w+h.x;if(h.X){k+=h.X}l.W=l.scanW=k;l.w=0}return k},SVGaddLine:function(m,i,l,h,q,o){var r=b();h.first=o;h.last=true;this.SVGmoveLine(i,l,r,h,q);r.Clean();var p=this.SVGgetAlign(h,q),j=this.SVGgetShift(h,q,p);if(h.n>0){var n=g.FONTDATA.baselineskip*h.scale;var k=(h.values.lineleading==null?h.VALUES:h.values).lineleading*h.scale;h.Y-=Math.max(n,h.d+r.h+k)}if(r.w+j>m.w){m.w=r.w+j}m.Align(r,p,0,h.Y,j);h.d=r.d;h.values=q;h.n++},SVGgetAlign:function(k,h){var l=h,i=k.values,j=k.VALUES,m;if(k.n===0){m=l.indentalignfirst||i.indentalignfirst||j.indentalignfirst}else{if(k.isLast){m=i.indentalignlast||j.indentalignlast}else{m=i.indentalign||j.indentalign}}if(m===a.INDENTALIGN.INDENTALIGN){m=i.indentalign||j.indentalign}if(m===a.INDENTALIGN.AUTO){m=(k.isTop?this.displayAlign:a.INDENTALIGN.LEFT)}return m},SVGgetShift:function(m,j,o){var n=j,k=m.values,l=m.VALUES,i;if(m.n===0){i=n.indentshiftfirst||k.indentshiftfirst||l.indentshiftfirst}else{if(m.isLast){i=k.indentshiftlast||l.indentshiftlast}else{i=k.indentshift||l.indentshift}}if(i===a.INDENTSHIFT.INDENTSHIFT){i=k.indentshift||l.indentshift}if(i==="auto"||i===""){i="0"}i=g.length2em(i,1,g.cwidth);if(m.isTop&&this.displayIndent!=="0"){var h=g.length2em(this.displayIndent,1,g.cwidth);i+=(o===a.INDENTALIGN.RIGHT?-h:h)}return i},SVGmoveLine:function(q,h,l,p,k){var n=q[0],m=h[0];if(n==null){n=-1}if(m==null){m=this.data.length-1}if(n===m&&q.length>1){this.data[n].SVGmoveSlice(q.slice(1),h.slice(1),l,p,k,"paddingLeft")}else{var o=p.last;p.last=false;while(n<m){if(this.data[n]){if(q.length<=1){this.data[n].SVGmove(l,p,k)}else{this.data[n].SVGmoveSlice(q.slice(1),[],l,p,k,"paddingLeft")}}n++;p.first=false;q=[]}p.last=o;if(this.data[n]){if(h.length<=1){this.data[n].SVGmove(l,p,k)}else{this.data[n].SVGmoveSlice([],h.slice(1),l,p,k,"paddingRight")}}}},SVGmoveSlice:function(n,h,j,k,i,l){var m=b();this.SVGmoveLine(n,h,m,k,i);m.Clean();if(this.href){this.SVGaddHref(m)}this.SVGhandleColor(m);if(n.length==0){this.SVGhandleSpace(m)}j.Add(m,j.w,0,true);return m},SVGmove:function(h,k,j){if(!(k.first||k.last)||(k.first&&k.values.linebreakstyle===a.LINEBREAKSTYLE.BEFORE)||(k.last&&j.linebreakstyle===a.LINEBREAKSTYLE.AFTER)){var i=this.toSVG(this.SVGdata.HW,this.SVGdata.D);if(k.first||k.nextIsFirst){i.x=0}if(k.last&&i.X){i.X=0}h.Add(i,h.w,0,true)}if(k.first&&i&&i.w===0){k.nextIsFirst=true}else{delete k.nextIsFirst}}});a.mfenced.Augment({SVGbetterBreak:function(n,h){var v=n.index.slice(0),t=n.index.shift(),q=this.data.length,p,x,o,u=(n.index.length>0),l=false;if(t==null){t=-1}if(!u){t++;n.W+=n.w;n.w=0}o=n.scanW=n.W;n.nest++;if(!this.dataI){this.dataI=[];if(this.data.open){this.dataI.push("open")}if(q){this.dataI.push(0)}for(var s=1;s<q;s++){if(this.data["sep"+s]){this.dataI.push("sep"+s)}this.dataI.push(s)}if(this.data.close){this.dataI.push("close")}}q=this.dataI.length;while(t<q&&(n.scanW<e.maxwidth*g.linebreakWidth||n.w===0)){var r=this.dataI[t];if(this.data[r]){if(this.data[r].SVGbetterBreak(n,h)){l=true;v=[t].concat(n.index);p=n.W;x=n.w;if(n.penalty===e.newline){n.index=v;if(n.nest){n.nest--}return true}}o=(u?n.scanW:this.SVGaddWidth(t,n,o))}n.index=[];t++;u=false}if(n.nest){n.nest--}n.index=v;if(l){n.W=p;n.w=x}return l},SVGmoveLine:function(l,n,q,h,s){var p=l[0],o=n[0];if(p==null){p=-1}if(o==null){o=this.dataI.length-1}if(p===o&&l.length>1){this.data[this.dataI[p]].SVGmoveSlice(l.slice(1),n.slice(1),q,h,s,"paddingLeft")}else{var r=h.last;h.last=false;var m=this.dataI[p];while(p<o){if(this.data[m]){if(l.length<=1){this.data[m].SVGmove(q,h,s)}else{this.data[m].SVGmoveSlice(l.slice(1),[],q,h,s,"paddingLeft")}}p++;m=this.dataI[p];h.first=false;l=[]}h.last=r;if(this.data[m]){if(n.length<=1){this.data[m].SVGmove(q,h,s)}else{this.data[m].SVGmoveSlice([],n.slice(1),q,h,s,"paddingRight")}}}}});a.msubsup.Augment({SVGbetterBreak:function(k,h){if(!this.data[this.base]){return false}var p=k.index.slice(0),n=k.index.shift(),m,q,l,o=(k.index.length>0),j=false;if(!o){k.W+=k.w;k.w=0}l=k.scanW=k.W;if(n==null){this.SVGdata.dw=this.SVGdata.w-this.data[this.base].SVGdata.w}if(this.data[this.base].SVGbetterBreak(k,h)){j=true;p=[this.base].concat(k.index);m=k.W;q=k.w;if(k.penalty===e.newline){j=o=true}}if(!o){this.SVGaddWidth(this.base,k,l)}k.scanW+=this.SVGdata.dw;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=q;k.index=p}return j},SVGmoveLine:function(j,l,o,i,q){if(this.data[this.base]){if(j.length>1){this.data[this.base].SVGmoveSlice(j.slice(1),l.slice(1),o,i,q,"paddingLeft")}else{if(l.length<=1){this.data[this.base].SVGmove(o,i,q)}else{this.data[this.base].SVGmoveSlice([],l.slice(1),o,i,q,"paddingRight")}}}if(l.length===0){var n=this.data[this.sup],h=this.data[this.sub],p=o.w,m;var k=(this.data[this.base].SVGdata||{}).ic||0;if(n){m=n.SVGdata||{};o.Add(n.toSVG(),p+(m.dx||0)-k,m.dy)}if(h){m=h.SVGdata||{};o.Add(h.toSVG(),p+(m.dx||0)-k,m.dy)}}}});a.mmultiscripts.Augment({SVGbetterBreak:function(k,i){if(!this.data[this.base]){return false}var o=k.index.slice(0);k.index.shift();var m,p,l,n=(k.index.length>0),j=false;if(!n){k.W+=k.w;k.w=0}k.scanW=k.W;var h=this.SVGdata.w-this.data[this.base].SVGdata.w-this.SVGdata.dx;k.scanW+=this.SVGdata.dx;l=k.scanW;if(this.data[this.base].SVGbetterBreak(k,i)){j=true;o=[this.base].concat(k.index);m=k.W;p=k.w;if(k.penalty===e.newline){j=n=true}}if(!n){this.SVGaddWidth(this.base,k,l)}k.scanW+=h;k.W=k.scanW;k.index=[];if(j){k.W=m;k.w=p;k.index=o}return j},SVGmoveLine:function(j,l,o,i,q){var r,n=this.SVGdata;if(j.length<1){this.scriptBox=this.SVGgetScripts(this.SVGdata.s);var k=this.scriptBox[2],p=this.scriptBox[3];r=o.w+n.dx;if(p){o.Add(p,r+n.delta-p.w,n.u)}if(k){o.Add(k,r-k.w,-n.v)}}if(this.data[this.base]){if(j.length>1){this.data[this.base].SVGmoveSlice(j.slice(1),l.slice(1),o,i,q,"paddingLeft")}else{if(l.length<=1){this.data[this.base].SVGmove(o,i,q)}else{this.data[this.base].SVGmoveSlice([],l.slice(1),o,i,q,"paddingRight")}}}if(l.length===0){var h=this.scriptBox[0],m=this.scriptBox[1];r=o.w+n.s;if(m){o.Add(m,r,n.u)}if(h){o.Add(h,r-n.delta,-n.v)}delete this.scriptBox}}});a.mo.Augment({SVGbetterBreak:function(j,h){if(j.values&&j.values.last===this){return false}var r=this.getValues("linebreak","linebreakstyle","lineleading","linebreakmultchar","indentalign","indentshift","indentalignfirst","indentshiftfirst","indentalignlast","indentshiftlast","texClass","fence");if(r.linebreakstyle===a.LINEBREAKSTYLE.INFIXLINEBREAKSTYLE){r.linebreakstyle=this.Get("infixlinebreakstyle")}if(r.texClass===a.TEXCLASS.OPEN){j.nest++}if(r.texClass===a.TEXCLASS.CLOSE&&j.nest){j.nest--}var k=j.scanW,l=j.embellished;delete j.embellished;if(!l||!l.SVGdata){l=this}var n=l.SVGdata,q=n.w+n.x;if(r.linebreakstyle===a.LINEBREAKSTYLE.AFTER){k+=q;q=0}if(k-j.shift===0&&r.linebreak!==a.LINEBREAK.NEWLINE){return false}var m=g.linebreakWidth-k;if(h.n===0&&(r.indentshiftfirst!==h.VALUES.indentshiftfirst||r.indentalignfirst!==h.VALUES.indentalignfirst)){var o=this.SVGgetAlign(h,r),i=this.SVGgetShift(h,r,o);m+=(j.shift-i)}var p=Math.floor(m/g.linebreakWidth*1000);if(p<0){p=e.toobig-3*p}if(r.fence){p+=e.fence}if((r.linebreakstyle===a.LINEBREAKSTYLE.AFTER&&r.texClass===a.TEXCLASS.OPEN)||r.texClass===a.TEXCLASS.CLOSE){p+=e.close}p+=j.nest*e.nestfactor;var s=e[r.linebreak||a.LINEBREAK.AUTO]||0;if(!MathJax.Object.isArray(s)){if(s||m>=0){p=s*j.nest}}else{p=Math.max(1,p+s[0]*j.nest)}if(p>=j.penalty){return false}j.penalty=p;j.values=r;j.W=k;j.w=q;r.lineleading=g.length2em(r.lineleading,1,h.VALUES.lineleading);r.last=this;return true}});a.mspace.Augment({SVGbetterBreak:function(i,h){if(i.values&&i.values.last===this){return false}var p=this.getValues("linebreak");var n=p.linebreak;if(!n||this.hasDimAttr()){n=a.LINEBREAK.AUTO}var j=i.scanW,l=this.SVGdata,o=l.w+l.x;if(j-i.shift===0){return false}var k=g.linebreakWidth-j;var m=Math.floor(k/g.linebreakWidth*1000);if(m<0){m=e.toobig-3*m}m+=i.nest*e.nestfactor;var q=e[n]||0;if(n===a.LINEBREAK.AUTO&&o>=e.spacelimit*1000&&!this.mathbackground&&!this.backrgound){q=[(o/1000+e.spaceoffset)*e.spacefactor]}if(!MathJax.Object.isArray(q)){if(q||k>=0){m=q*i.nest}}else{m=Math.max(1,m+q[0]*i.nest)}if(m>=i.penalty){return false}i.penalty=m;i.values=p;i.W=j;i.w=o;p.lineleading=h.VALUES.lineleading;p.linebreakstyle="before";p.last=this;return true}});MathJax.Hub.Register.StartupHook("TeX mathchoice Ready",function(){a.TeXmathchoice.Augment({SVGbetterBreak:function(i,h){return this.Core().SVGbetterBreak(i,h)},SVGmoveLine:function(l,h,j,k,i){return this.Core().SVGmoveSlice(l,h,j,k,i)}})});a.maction.Augment({SVGbetterBreak:function(i,h){return this.Core().SVGbetterBreak(i,h)},SVGmoveLine:function(l,h,j,k,i){return this.Core().SVGmoveSlice(l,h,j,k,i)},});a.semantics.Augment({SVGbetterBreak:function(i,h){return(this.data[0]?this.data[0].SVGbetterBreak(i,h):false)},SVGmoveLine:function(l,h,j,k,i){return(this.data[0]?this.data[0].SVGmoveSlice(l,h,j,k,i):null)}});MathJax.Hub.Startup.signal.Post("SVG multiline Ready");MathJax.Ajax.loadComplete(g.autoloadDir+"/multiline.js")});
diff --git a/jax/output/SVG/config.js b/jax/output/SVG/config.js
index 94707ff628..cde38e34a9 100644
--- a/jax/output/SVG/config.js
+++ b/jax/output/SVG/config.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/config.js
+ *  /MathJax-v2/jax/output/SVG/config.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.6",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
+MathJax.OutputJax.SVG=MathJax.OutputJax({id:"SVG",version:"2.7.9",directory:MathJax.OutputJax.directory+"/SVG",extensionDir:MathJax.OutputJax.extensionDir+"/SVG",autoloadDir:MathJax.OutputJax.directory+"/SVG/autoload",fontDir:MathJax.OutputJax.directory+"/SVG/fonts",config:{scale:100,minScaleAdjust:50,font:"TeX",blacker:1,mtextFontInherit:false,undefinedFamily:"STIXGeneral,'Arial Unicode MS',serif",addMMLclasses:false,useFontCache:true,useGlobalCache:true,EqnChunk:(MathJax.Hub.Browser.isMobile?10:50),EqnChunkFactor:1.5,EqnChunkDelay:100,linebreaks:{automatic:false,width:"container"},merrorStyle:{fontSize:"90%",color:"#C00",background:"#FF8",border:"1px solid #C00",padding:"3px"},styles:{".MathJax_SVG_Display":{"text-align":"center",margin:"1em 0em"},".MathJax_SVG .MJX-monospace":{"font-family":"monospace"},".MathJax_SVG .MJX-sans-serif":{"font-family":"sans-serif"},"#MathJax_SVG_Tooltip":{"background-color":"InfoBackground",color:"InfoText",border:"1px solid black","box-shadow":"2px 2px 5px #AAAAAA","-webkit-box-shadow":"2px 2px 5px #AAAAAA","-moz-box-shadow":"2px 2px 5px #AAAAAA","-khtml-box-shadow":"2px 2px 5px #AAAAAA",padding:"3px 4px","z-index":401}}}});if(!MathJax.Hub.config.delayJaxRegistration){MathJax.OutputJax.SVG.Register("jax/mml")}MathJax.OutputJax.SVG.loadComplete("config.js");
diff --git a/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js
index b0b782118e..4a84a820a9 100644
--- a/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js
index ebbd10f81e..8fcf300f31 100644
--- a/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js
index 2668dc687f..b6951df29a 100644
--- a/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js
index be86efbc50..65ec67ab12 100644
--- a/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js
index 07138110b2..f86bf38a98 100644
--- a/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js
index 59ba89b776..f118a6d13a 100644
--- a/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js
index 32d0c331c7..dd49aa52fd 100644
--- a/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js
index 421b65a54b..8354cd77fd 100644
--- a/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js
index a4841cf946..9b39d23607 100644
--- a/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js
index b3f94c3362..49adf3809f 100644
--- a/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js
index ba84298b9b..f9820cdfce 100644
--- a/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js
index 68b0c8081c..c3fa99ec22 100644
--- a/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js
index 20c992c6cd..2375203a07 100644
--- a/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js
index 5b60a8a2f8..751513ca9e 100644
--- a/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js
index 6b790e74dc..49c67e1c2f 100644
--- a/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js
index 9ac1043284..8b0ce40693 100644
--- a/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js
index 0b827c54df..9da5a0ba33 100644
--- a/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js
index b4aa18f230..3a40f7107c 100644
--- a/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js
index 9bc250ce98..a518b3200b 100644
--- a/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js
index 9a59a54d0b..3ee88396d6 100644
--- a/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js
index 8afaf04ef7..a66153e6b8 100644
--- a/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js
index 2c847abdec..cebb750081 100644
--- a/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js b/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js
index 1b1330e3fa..aff38d7924 100644
--- a/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js
+++ b/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js b/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js
index 42e8f0c8f3..89088fb63b 100644
--- a/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js
+++ b/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(x){var z="2.7.6";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="AsanaMathJax_Alphabets",u="AsanaMathJax_Arrows",w="AsanaMathJax_DoubleStruck",A="AsanaMathJax_Fraktur",g="AsanaMathJax_Latin",t="AsanaMathJax_Main",l="AsanaMathJax_Marks",v="AsanaMathJax_Misc",D="AsanaMathJax_Monospace",y="AsanaMathJax_NonUnicode",q="AsanaMathJax_Normal",B="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",n="AsanaMathJax_Script",b="AsanaMathJax_Shapes",k="AsanaMathJax_Size1",j="AsanaMathJax_Size2",i="AsanaMathJax_Size3",h="AsanaMathJax_Size4",f="AsanaMathJax_Size5",e="AsanaMathJax_Size6",s="AsanaMathJax_Symbols",m="AsanaMathJax_Variants";var C={774:{dir:p,HW:[[282,t],[384,k],[542,j],[922,i],[1762,h]]},819:{dir:p,HW:[[433,l],[511,k],[675,j],[1127,i]],stretch:{rep:[57347,e],right:[57347,e]}},831:{dir:p,HW:[[433,l],[511,k],[675,j],[1127,i]],stretch:{rep:[57348,e],right:[57348,e]}},8261:{dir:d,HW:[[910,l],[1344,k],[1862,j],[2328,i]],stretch:{bot:[57350,e],ext:[57351,e],mid:[57352,e],top:[57353,e]}},8262:{dir:d,HW:[[910,l],[1344,k],[1862,j],[2328,i]],stretch:{bot:[57354,e],ext:[57355,e],mid:[57356,e],top:[57357,e]}},8400:{dir:p,HW:[[558,l]],stretch:{left:[8400,l],rep:[57358,e]}},8401:{dir:p,HW:[[558,l]],stretch:{rep:[57358,e],right:[8401,l]}},8406:{dir:p,HW:[[558,l],[807,k],[1127,j],[1878,i],[3579,h]],stretch:{left:[8406,l],rep:[57358,e]}},8407:{dir:p,HW:[[558,t],[807,k],[1127,j],[1878,i],[3579,h]],stretch:{rep:[57358,e],right:[8407,t]}},8417:{dir:p,HW:[[557,l]],stretch:{left:[8406,l],rep:[57358,e],right:[8407,t]}},8425:{dir:p,HW:[[630,l]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},8430:{dir:p,HW:[[557,l]],stretch:{left:[8430,l],rep:[57362,e]}},8431:{dir:p,HW:[[557,l]],stretch:{rep:[57362,e],right:[8431,l]}},8617:{dir:p,HW:[[884,t]],stretch:{left:[57363,e],rep:[9135,s],right:[57370,e]}},8618:{dir:p,HW:[[884,t]],stretch:{left:[57371,e],rep:[9135,s],right:[57367,e]}},8720:{dir:d,HW:[[937,B],[1349,k],[1942,j],[2797,i]]},8721:{dir:d,HW:[[930,B],[1339,k],[1928,j],[2776,i]]},8745:{dir:d,HW:[[603,t],[1559,k],[2245,j],[2588,i]]},8747:{dir:d,HW:[[1327,t],[1964,k],[2711,j],[3470,i]],stretch:{bot:[8993,s],ext:[9134,s],top:[8992,s]}},8748:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8749:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8750:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8751:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8752:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8753:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8754:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8755:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8896:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8897:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8898:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8899:{dir:d,HW:[[939,B],[1559,k],[2245,j],[2588,i]]},9140:{dir:p,HW:[[602,t],[978,k],[1353,j],[1690,i]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},9141:{dir:p,HW:[[602,t],[978,k],[1353,j],[1690,i]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},9180:{dir:p,HW:[[942,t],[973,k],[1349,j],[1686,i]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},9181:{dir:p,HW:[[942,t],[973,k],[1349,j],[1686,i]],stretch:{left:[57385,e],rep:[57386,e],right:[57387,e]}},9184:{dir:p,HW:[[900,t],[1360,k],[2056,j],[3108,i]]},9185:{dir:p,HW:[[900,t],[1360,k],[2056,j],[3108,i]]},10214:{dir:d,HW:[[910,s],[1025,k],[1535,j],[2045,i],[2556,h]]},10215:{dir:d,HW:[[910,s],[1025,k],[1535,j],[2045,i],[2556,h]]},10218:{dir:d,HW:[[885,s],[1020,k],[2041,j],[2552,i]]},10219:{dir:d,HW:[[885,s],[1020,k],[2041,j],[2552,i]]},10748:{dir:d,HW:[[953,s],[1372,k],[1893,j],[2366,i]]},10749:{dir:d,HW:[[953,s],[1372,k],[1893,j],[2366,i]]},10752:{dir:d,HW:[[1146,B],[1650,k],[2376,j]]},10753:{dir:d,HW:[[1149,B],[1650,k],[2376,j]]},10754:{dir:d,HW:[[1149,B],[1650,k],[2376,j]]},10755:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10756:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10757:{dir:d,HW:[[926,B],[1537,k],[2552,j]]},10758:{dir:d,HW:[[926,B],[1537,k],[2552,j]]},10759:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10760:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10761:{dir:d,HW:[[926,B],[1333,k],[1920,j]]},10764:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10765:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10766:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10767:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10768:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10769:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10770:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10771:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10772:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10773:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10774:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10775:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10776:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10777:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10778:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10779:{dir:d,HW:[[1436,B],[2125,k],[2933,j],[3754,i]]},10780:{dir:d,HW:[[1436,B],[2125,k],[2933,j],[3754,i]]}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(x){var z="2.7.9";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="AsanaMathJax_Alphabets",u="AsanaMathJax_Arrows",w="AsanaMathJax_DoubleStruck",A="AsanaMathJax_Fraktur",g="AsanaMathJax_Latin",t="AsanaMathJax_Main",l="AsanaMathJax_Marks",v="AsanaMathJax_Misc",D="AsanaMathJax_Monospace",y="AsanaMathJax_NonUnicode",q="AsanaMathJax_Normal",B="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",n="AsanaMathJax_Script",b="AsanaMathJax_Shapes",k="AsanaMathJax_Size1",j="AsanaMathJax_Size2",i="AsanaMathJax_Size3",h="AsanaMathJax_Size4",f="AsanaMathJax_Size5",e="AsanaMathJax_Size6",s="AsanaMathJax_Symbols",m="AsanaMathJax_Variants";var C={774:{dir:p,HW:[[282,t],[384,k],[542,j],[922,i],[1762,h]]},819:{dir:p,HW:[[433,l],[511,k],[675,j],[1127,i]],stretch:{rep:[57347,e],right:[57347,e]}},831:{dir:p,HW:[[433,l],[511,k],[675,j],[1127,i]],stretch:{rep:[57348,e],right:[57348,e]}},8261:{dir:d,HW:[[910,l],[1344,k],[1862,j],[2328,i]],stretch:{bot:[57350,e],ext:[57351,e],mid:[57352,e],top:[57353,e]}},8262:{dir:d,HW:[[910,l],[1344,k],[1862,j],[2328,i]],stretch:{bot:[57354,e],ext:[57355,e],mid:[57356,e],top:[57357,e]}},8400:{dir:p,HW:[[558,l]],stretch:{left:[8400,l],rep:[57358,e]}},8401:{dir:p,HW:[[558,l]],stretch:{rep:[57358,e],right:[8401,l]}},8406:{dir:p,HW:[[558,l],[807,k],[1127,j],[1878,i],[3579,h]],stretch:{left:[8406,l],rep:[57358,e]}},8407:{dir:p,HW:[[558,t],[807,k],[1127,j],[1878,i],[3579,h]],stretch:{rep:[57358,e],right:[8407,t]}},8417:{dir:p,HW:[[557,l]],stretch:{left:[8406,l],rep:[57358,e],right:[8407,t]}},8425:{dir:p,HW:[[630,l]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},8430:{dir:p,HW:[[557,l]],stretch:{left:[8430,l],rep:[57362,e]}},8431:{dir:p,HW:[[557,l]],stretch:{rep:[57362,e],right:[8431,l]}},8617:{dir:p,HW:[[884,t]],stretch:{left:[57363,e],rep:[9135,s],right:[57370,e]}},8618:{dir:p,HW:[[884,t]],stretch:{left:[57371,e],rep:[9135,s],right:[57367,e]}},8720:{dir:d,HW:[[937,B],[1349,k],[1942,j],[2797,i]]},8721:{dir:d,HW:[[930,B],[1339,k],[1928,j],[2776,i]]},8745:{dir:d,HW:[[603,t],[1559,k],[2245,j],[2588,i]]},8747:{dir:d,HW:[[1327,t],[1964,k],[2711,j],[3470,i]],stretch:{bot:[8993,s],ext:[9134,s],top:[8992,s]}},8748:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8749:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8750:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8751:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8752:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8753:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8754:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8755:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},8896:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8897:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8898:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},8899:{dir:d,HW:[[939,B],[1559,k],[2245,j],[2588,i]]},9140:{dir:p,HW:[[602,t],[978,k],[1353,j],[1690,i]],stretch:{left:[57359,e],rep:[57360,e],right:[57361,e]}},9141:{dir:p,HW:[[602,t],[978,k],[1353,j],[1690,i]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},9180:{dir:p,HW:[[942,t],[973,k],[1349,j],[1686,i]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},9181:{dir:p,HW:[[942,t],[973,k],[1349,j],[1686,i]],stretch:{left:[57385,e],rep:[57386,e],right:[57387,e]}},9184:{dir:p,HW:[[900,t],[1360,k],[2056,j],[3108,i]]},9185:{dir:p,HW:[[900,t],[1360,k],[2056,j],[3108,i]]},10214:{dir:d,HW:[[910,s],[1025,k],[1535,j],[2045,i],[2556,h]]},10215:{dir:d,HW:[[910,s],[1025,k],[1535,j],[2045,i],[2556,h]]},10218:{dir:d,HW:[[885,s],[1020,k],[2041,j],[2552,i]]},10219:{dir:d,HW:[[885,s],[1020,k],[2041,j],[2552,i]]},10748:{dir:d,HW:[[953,s],[1372,k],[1893,j],[2366,i]]},10749:{dir:d,HW:[[953,s],[1372,k],[1893,j],[2366,i]]},10752:{dir:d,HW:[[1146,B],[1650,k],[2376,j]]},10753:{dir:d,HW:[[1149,B],[1650,k],[2376,j]]},10754:{dir:d,HW:[[1149,B],[1650,k],[2376,j]]},10755:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10756:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10757:{dir:d,HW:[[926,B],[1537,k],[2552,j]]},10758:{dir:d,HW:[[926,B],[1537,k],[2552,j]]},10759:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10760:{dir:d,HW:[[939,B],[1559,k],[2588,j]]},10761:{dir:d,HW:[[926,B],[1333,k],[1920,j]]},10764:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10765:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10766:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10767:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10768:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10769:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10770:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10771:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10772:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10773:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10774:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10775:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10776:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10777:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10778:{dir:d,HW:[[1327,B],[1964,k],[2711,j],[3470,i]]},10779:{dir:d,HW:[[1436,B],[2125,k],[2933,j],[3754,i]]},10780:{dir:d,HW:[[1436,B],[2125,k],[2933,j],[3754,i]]}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/Asana-Math/fontdata.js b/jax/output/SVG/fonts/Asana-Math/fontdata.js
index 969c711558..eaebb20a6d 100644
--- a/jax/output/SVG/fonts/Asana-Math/fontdata.js
+++ b/jax/output/SVG/fonts/Asana-Math/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Asana-Math/fontdata.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Asana-Math/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(z,e,E,o){var B="2.7.6";var c="AsanaMathJax_Alphabets",w="AsanaMathJax_Arrows",y="AsanaMathJax_DoubleStruck",C="AsanaMathJax_Fraktur",h="AsanaMathJax_Latin",v="AsanaMathJax_Main",n="AsanaMathJax_Marks",x="AsanaMathJax_Misc",F="AsanaMathJax_Monospace",A="AsanaMathJax_NonUnicode",s="AsanaMathJax_Normal",D="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",q="AsanaMathJax_Script",b="AsanaMathJax_Shapes",m="AsanaMathJax_Size1",l="AsanaMathJax_Size2",k="AsanaMathJax_Size3",i="AsanaMathJax_Size4",g="AsanaMathJax_Size5",f="AsanaMathJax_Size6",u="AsanaMathJax_Symbols",p="AsanaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{AsanaMathJax_Alphabets:"Alphabets/Regular/Main.js",AsanaMathJax_Arrows:"Arrows/Regular/Main.js",AsanaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",AsanaMathJax_Fraktur:"Fraktur/Regular/Main.js",AsanaMathJax_Latin:"Latin/Regular/Main.js",AsanaMathJax_Main:"Main/Regular/Main.js",AsanaMathJax_Marks:"Marks/Regular/Main.js",AsanaMathJax_Misc:"Misc/Regular/Main.js",AsanaMathJax_Monospace:"Monospace/Regular/Main.js",AsanaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",AsanaMathJax_Normal:"Normal/Regular/Main.js",AsanaMathJax_Operators:"Operators/Regular/Main.js",AsanaMathJax_SansSerif:"SansSerif/Regular/Main.js",AsanaMathJax_Script:"Script/Regular/Main.js",AsanaMathJax_Shapes:"Shapes/Regular/Main.js",AsanaMathJax_Size1:"Size1/Regular/Main.js",AsanaMathJax_Size2:"Size2/Regular/Main.js",AsanaMathJax_Size3:"Size3/Regular/Main.js",AsanaMathJax_Size4:"Size4/Regular/Main.js",AsanaMathJax_Size5:"Size5/Regular/Main.js",AsanaMathJax_Size6:"Size6/Regular/Main.js",AsanaMathJax_Symbols:"Symbols/Regular/Main.js",AsanaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Asana-Math-variant":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic":{offsetA:57866,noLowerCase:1,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic-bold":{offsetA:57892,noLowerCase:1,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,9667:9665,65080:9183,12296:10216,12297:10217,9642:9632,175:772,8432:42,10072:8739,978:933,9652:9650,9653:9651,65079:9182,9656:9654,697:8242,9662:9660,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[941,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[941,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{alias:8260,dir:r},61:{dir:r,HW:[[539,v]],stretch:{rep:[61,v]}},91:{dir:d,HW:[[910,v],[1476,m],[2045,l],[2556,k],[2615,k,1.023]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[883,v],[1270,v,1.439],[1719,v,1.946],[2167,v,2.454],[2615,v,2.961]]},93:{dir:d,HW:[[910,v],[1476,m],[2045,l],[2556,k],[2615,k,1.023]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[901,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9129,u],ext:[9130,u],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[885,v],[1275,m],[1555,l],[1897,k],[2315,i],[2712,g],[3177,f]],stretch:{ext:[57344,f],top:[57344,f]}},125:{dir:d,HW:[[901,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9133,u],ext:[9130,u],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:8722,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[312,v],[453,m],[633,l],[1055,k],[2017,i],[3026,g]]},771:{dir:r,HW:[[330,v],[701,m],[1053,l],[1403,k],[1865,i],[2797,g]]},773:{dir:r,HW:[[433,n],[511,m],[675,l],[1127,k]],stretch:{rep:[57345,f],right:[57345,f]}},774:t,780:{dir:r,HW:[[312,v],[737,m],[1105,l],[1474,k],[1960,i],[2940,g]]},818:{dir:r,HW:[[433,n],[511,m],[675,l],[1127,k]],stretch:{rep:[57346,f],right:[57346,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[885,v],[1275,m],[1555,l],[1897,k],[2315,i]],stretch:{ext:[57349,f],top:[57349,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[837,v],[1205,m],[1471,l],[1795,k],[2189,i],[2615,i,1.195]]},8261:j,8262:j,8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8430:t,8431:t,8592:{dir:r,HW:[[884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57364,f]}},8593:{dir:d,HW:[[885,v]],stretch:{ext:[57365,f],top:[8593,v]}},8594:{dir:r,HW:[[884,v]],stretch:{left:[57366,f],rep:[9135,u],right:[57367,f]}},8595:{dir:d,HW:[[885,v]],stretch:{bot:[8595,v],ext:[57365,f]}},8596:{dir:r,HW:[[884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57367,f]}},8597:{dir:d,HW:[[884,v]],stretch:{top:[8593,v],ext:[57365,f],bot:[8595,v]}},8612:{dir:r,HW:[[942,w]],stretch:{left:[57363,f],rep:[9135,u],right:[57368,f]}},8614:{dir:r,HW:[[942,v]],stretch:{left:[57369,f],rep:[9135,u],right:[57367,f]}},8617:t,8618:t,8656:{dir:r,HW:[[884,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57374,f]}},8657:{dir:d,HW:[[885,v]],stretch:{ext:[57375,f],top:[8657,v]}},8658:{dir:r,HW:[[884,v]],stretch:{left:[57376,f],rep:[57373,f],right:[57377,f]}},8659:{dir:d,HW:[[885,v]],stretch:{bot:[8659,v],ext:[57375,f]}},8660:{dir:r,HW:[[895,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57377,f]}},8661:{dir:d,HW:[[884,v,null,8597]],stretch:{top:[8657,v],ext:[57375,f],bot:[8659,v]}},8719:{dir:d,HW:[[937,D],[1349,m],[1942,l],[2797,k]]},8720:j,8721:j,8722:{dir:r,HW:[],stretch:{rep:[8722,v,0,0,0,-0.23,-0.23]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1138,v],[1280,m],[1912,l],[2543,k],[3175,i]],stretch:{bot:[9143,u],ext:[8403,n],top:[57378,f]}},8739:{dir:d,HW:[[885,v]],stretch:{ext:[8739,v],top:[8739,v]}},8741:{dir:d,HW:[[885,v]],stretch:{ext:[8741,v],top:[8741,v]}},8745:j,8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{alias:10216,dir:d},9002:{alias:10217,dir:d},9130:{dir:d,HW:[[688,u]],stretch:{ext:[9130,u]}},9135:{dir:r,HW:[[638,u]],stretch:{rep:[9135,u]}},9136:{alias:10182,dir:d},9137:{alias:10181,dir:d},9140:t,9141:t,9168:{dir:d,HW:[[885,v,null,124],[1270,v,1.435,124],[1719,v,1.942,124],[2167,v,2.448,124],[2615,v,2.955,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[902,v],[1471,m],[2041,l],[2552,k]],stretch:{left:[57382,f],rep:[57383,f],mid:[57388,f],right:[57384,f]}},9183:{dir:r,HW:[[902,v],[1471,m],[2041,l],[2552,k]],stretch:{left:[57385,f],rep:[57386,f],mid:[57389,f],right:[57387,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10072:{alias:8739,dir:d},10181:{dir:d,HW:[[910,u],[1020,m],[1531,l],[2041,k],[2552,i],[3063,g]]},10182:{dir:d,HW:[[910,u],[1020,m],[1531,l],[2041,k],[2552,i],[3063,g]]},10214:j,10215:j,10216:{dir:d,HW:[[885,v],[1020,m],[1270,m,1.244],[2041,l],[2552,k],[2615,k,1.025]]},10217:{dir:d,HW:[[885,v],[1020,m],[1270,m,1.244],[2041,l],[2552,k],[2615,k,1.025]]},10218:j,10219:j,10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[884,w]],stretch:{left:[57372,f],rep:[57373,f],right:[57390,f]}},10503:{dir:r,HW:[[884,w]],stretch:{left:[57391,f],rep:[57373,f],right:[57377,f]}},10748:j,10749:j,10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10759:j,10760:j,10761:j,10764:j,10765:j,10766:j,10767:j,10768:j,10769:j,10770:j,10771:j,10772:j,10773:j,10774:j,10775:j,10776:j,10777:j,10778:j,10779:j,10780:j,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Main/Regular/Main.js",function(){z.FONTDATA.FONTS[v][8722][0]=z.FONTDATA.FONTS[v][43][0];z.FONTDATA.FONTS[v][8722][1]=z.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size6/Regular/Main.js",function(){var G;G=z.FONTDATA.DELIMITERS[9182].stretch.rep[0];z.FONTDATA.FONTS[f][G][0]+=100;z.FONTDATA.FONTS[f][G][1]+=100;G=z.FONTDATA.DELIMITERS[9183].stretch.rep[0];z.FONTDATA.FONTS[f][G][0]+=100;z.FONTDATA.FONTS[f][G][1]+=100});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;z.FONTDATA.FONTS[m][8747][2]-=300;for(G=8748;G<=8755;G++){z.FONTDATA.FONTS[m][G][2]-=420}for(G=10764;G<=10780;G++){z.FONTDATA.FONTS[m][G][2]-=420}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(z,e,E,o){var B="2.7.9";var c="AsanaMathJax_Alphabets",w="AsanaMathJax_Arrows",y="AsanaMathJax_DoubleStruck",C="AsanaMathJax_Fraktur",h="AsanaMathJax_Latin",v="AsanaMathJax_Main",n="AsanaMathJax_Marks",x="AsanaMathJax_Misc",F="AsanaMathJax_Monospace",A="AsanaMathJax_NonUnicode",s="AsanaMathJax_Normal",D="AsanaMathJax_Operators",a="AsanaMathJax_SansSerif",q="AsanaMathJax_Script",b="AsanaMathJax_Shapes",m="AsanaMathJax_Size1",l="AsanaMathJax_Size2",k="AsanaMathJax_Size3",i="AsanaMathJax_Size4",g="AsanaMathJax_Size5",f="AsanaMathJax_Size6",u="AsanaMathJax_Symbols",p="AsanaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{AsanaMathJax_Alphabets:"Alphabets/Regular/Main.js",AsanaMathJax_Arrows:"Arrows/Regular/Main.js",AsanaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",AsanaMathJax_Fraktur:"Fraktur/Regular/Main.js",AsanaMathJax_Latin:"Latin/Regular/Main.js",AsanaMathJax_Main:"Main/Regular/Main.js",AsanaMathJax_Marks:"Marks/Regular/Main.js",AsanaMathJax_Misc:"Misc/Regular/Main.js",AsanaMathJax_Monospace:"Monospace/Regular/Main.js",AsanaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",AsanaMathJax_Normal:"Normal/Regular/Main.js",AsanaMathJax_Operators:"Operators/Regular/Main.js",AsanaMathJax_SansSerif:"SansSerif/Regular/Main.js",AsanaMathJax_Script:"Script/Regular/Main.js",AsanaMathJax_Shapes:"Shapes/Regular/Main.js",AsanaMathJax_Size1:"Size1/Regular/Main.js",AsanaMathJax_Size2:"Size2/Regular/Main.js",AsanaMathJax_Size3:"Size3/Regular/Main.js",AsanaMathJax_Size4:"Size4/Regular/Main.js",AsanaMathJax_Size5:"Size5/Regular/Main.js",AsanaMathJax_Size6:"Size6/Regular/Main.js",AsanaMathJax_Symbols:"Symbols/Regular/Main.js",AsanaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Asana-Math-variant":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic":{offsetA:57866,noLowerCase:1,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic-bold":{offsetA:57892,noLowerCase:1,fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,9667:9665,65080:9183,12296:10216,12297:10217,9642:9632,175:772,8432:42,10072:8739,978:933,9652:9650,9653:9651,65079:9182,9656:9654,697:8242,9662:9660,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[941,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[941,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{alias:8260,dir:r},61:{dir:r,HW:[[539,v]],stretch:{rep:[61,v]}},91:{dir:d,HW:[[910,v],[1476,m],[2045,l],[2556,k],[2615,k,1.023]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[883,v],[1270,v,1.439],[1719,v,1.946],[2167,v,2.454],[2615,v,2.961]]},93:{dir:d,HW:[[910,v],[1476,m],[2045,l],[2556,k],[2615,k,1.023]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[901,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9129,u],ext:[9130,u],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[885,v],[1275,m],[1555,l],[1897,k],[2315,i],[2712,g],[3177,f]],stretch:{ext:[57344,f],top:[57344,f]}},125:{dir:d,HW:[[901,v],[1471,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9133,u],ext:[9130,u],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:8722,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[312,v],[453,m],[633,l],[1055,k],[2017,i],[3026,g]]},771:{dir:r,HW:[[330,v],[701,m],[1053,l],[1403,k],[1865,i],[2797,g]]},773:{dir:r,HW:[[433,n],[511,m],[675,l],[1127,k]],stretch:{rep:[57345,f],right:[57345,f]}},774:t,780:{dir:r,HW:[[312,v],[737,m],[1105,l],[1474,k],[1960,i],[2940,g]]},818:{dir:r,HW:[[433,n],[511,m],[675,l],[1127,k]],stretch:{rep:[57346,f],right:[57346,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[885,v],[1275,m],[1555,l],[1897,k],[2315,i]],stretch:{ext:[57349,f],top:[57349,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[837,v],[1205,m],[1471,l],[1795,k],[2189,i],[2615,i,1.195]]},8261:j,8262:j,8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8430:t,8431:t,8592:{dir:r,HW:[[884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57364,f]}},8593:{dir:d,HW:[[885,v]],stretch:{ext:[57365,f],top:[8593,v]}},8594:{dir:r,HW:[[884,v]],stretch:{left:[57366,f],rep:[9135,u],right:[57367,f]}},8595:{dir:d,HW:[[885,v]],stretch:{bot:[8595,v],ext:[57365,f]}},8596:{dir:r,HW:[[884,v]],stretch:{left:[57363,f],rep:[9135,u],right:[57367,f]}},8597:{dir:d,HW:[[884,v]],stretch:{top:[8593,v],ext:[57365,f],bot:[8595,v]}},8612:{dir:r,HW:[[942,w]],stretch:{left:[57363,f],rep:[9135,u],right:[57368,f]}},8614:{dir:r,HW:[[942,v]],stretch:{left:[57369,f],rep:[9135,u],right:[57367,f]}},8617:t,8618:t,8656:{dir:r,HW:[[884,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57374,f]}},8657:{dir:d,HW:[[885,v]],stretch:{ext:[57375,f],top:[8657,v]}},8658:{dir:r,HW:[[884,v]],stretch:{left:[57376,f],rep:[57373,f],right:[57377,f]}},8659:{dir:d,HW:[[885,v]],stretch:{bot:[8659,v],ext:[57375,f]}},8660:{dir:r,HW:[[895,v]],stretch:{left:[57372,f],rep:[57373,f],right:[57377,f]}},8661:{dir:d,HW:[[884,v,null,8597]],stretch:{top:[8657,v],ext:[57375,f],bot:[8659,v]}},8719:{dir:d,HW:[[937,D],[1349,m],[1942,l],[2797,k]]},8720:j,8721:j,8722:{dir:r,HW:[],stretch:{rep:[8722,v,0,0,0,-0.23,-0.23]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1138,v],[1280,m],[1912,l],[2543,k],[3175,i]],stretch:{bot:[9143,u],ext:[8403,n],top:[57378,f]}},8739:{dir:d,HW:[[885,v]],stretch:{ext:[8739,v],top:[8739,v]}},8741:{dir:d,HW:[[885,v]],stretch:{ext:[8741,v],top:[8741,v]}},8745:j,8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[885,v],[1470,m],[2041,l],[2552,k],[2615,k,1.025]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{alias:10216,dir:d},9002:{alias:10217,dir:d},9130:{dir:d,HW:[[688,u]],stretch:{ext:[9130,u]}},9135:{dir:r,HW:[[638,u]],stretch:{rep:[9135,u]}},9136:{alias:10182,dir:d},9137:{alias:10181,dir:d},9140:t,9141:t,9168:{dir:d,HW:[[885,v,null,124],[1270,v,1.435,124],[1719,v,1.942,124],[2167,v,2.448,124],[2615,v,2.955,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[902,v],[1471,m],[2041,l],[2552,k]],stretch:{left:[57382,f],rep:[57383,f],mid:[57388,f],right:[57384,f]}},9183:{dir:r,HW:[[902,v],[1471,m],[2041,l],[2552,k]],stretch:{left:[57385,f],rep:[57386,f],mid:[57389,f],right:[57387,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10072:{alias:8739,dir:d},10181:{dir:d,HW:[[910,u],[1020,m],[1531,l],[2041,k],[2552,i],[3063,g]]},10182:{dir:d,HW:[[910,u],[1020,m],[1531,l],[2041,k],[2552,i],[3063,g]]},10214:j,10215:j,10216:{dir:d,HW:[[885,v],[1020,m],[1270,m,1.244],[2041,l],[2552,k],[2615,k,1.025]]},10217:{dir:d,HW:[[885,v],[1020,m],[1270,m,1.244],[2041,l],[2552,k],[2615,k,1.025]]},10218:j,10219:j,10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[884,w]],stretch:{left:[57372,f],rep:[57373,f],right:[57390,f]}},10503:{dir:r,HW:[[884,w]],stretch:{left:[57391,f],rep:[57373,f],right:[57377,f]}},10748:j,10749:j,10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10759:j,10760:j,10761:j,10764:j,10765:j,10766:j,10767:j,10768:j,10769:j,10770:j,10771:j,10772:j,10773:j,10774:j,10775:j,10776:j,10777:j,10778:j,10779:j,10780:j,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Main/Regular/Main.js",function(){z.FONTDATA.FONTS[v][8722][0]=z.FONTDATA.FONTS[v][43][0];z.FONTDATA.FONTS[v][8722][1]=z.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size6/Regular/Main.js",function(){var G;G=z.FONTDATA.DELIMITERS[9182].stretch.rep[0];z.FONTDATA.FONTS[f][G][0]+=100;z.FONTDATA.FONTS[f][G][1]+=100;G=z.FONTDATA.DELIMITERS[9183].stretch.rep[0];z.FONTDATA.FONTS[f][G][0]+=100;z.FONTDATA.FONTS[f][G][1]+=100});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;z.FONTDATA.FONTS[m][8747][2]-=300;for(G=8748;G<=8755;G++){z.FONTDATA.FONTS[m][G][2]-=420}for(G=10764;G<=10780;G++){z.FONTDATA.FONTS[m][G][2]-=420}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
index 8568fb07a9..a7a79b8a0b 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js
index 0932144531..d771bbbfe0 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
index 650e86247d..cea9687262 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
index f9b7b21522..860d2d62ef 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js
index c3cefb6a18..a3e791d6f2 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js
index 9085fd54f0..9ffc80624c 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js
index 629f8d2164..ef53780d7a 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js
index 2ebcd98efa..cfaba441a7 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js
index a18ce422e9..db897c8a9a 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
index 2685c4345e..2792957db9 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js
index 885ddd3859..e26f07bdb5 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js
index a041446325..aa294cf139 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
index 58748380bb..0299b68fe8 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js
index acd98b1827..55cc2a8cab 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js
index 93c7a27b68..080d73d435 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js
index b457ef62d1..6d5af2875e 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js
index 5fb55ddaa6..85ae8cbc0d 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js
index 3f656e7543..176e5d7d56 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js
index 9f64ffe20c..bf58fe419a 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js
index fd8c853b91..e7cc091d07 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js
index 98e825e757..53a11e3c19 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js
index cb76f42167..6430a93f99 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js
index 7fc681b29d..afc98f1d63 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js b/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js
index 6dbc6a3980..d2dfd8108f 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(x){var z="2.7.6";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="GyrePagellaMathJax_Alphabets",u="GyrePagellaMathJax_Arrows",w="GyrePagellaMathJax_DoubleStruck",A="GyrePagellaMathJax_Fraktur",g="GyrePagellaMathJax_Latin",t="GyrePagellaMathJax_Main",l="GyrePagellaMathJax_Marks",v="GyrePagellaMathJax_Misc",D="GyrePagellaMathJax_Monospace",y="GyrePagellaMathJax_NonUnicode",q="GyrePagellaMathJax_Normal",B="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",n="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",k="GyrePagellaMathJax_Size1",j="GyrePagellaMathJax_Size2",i="GyrePagellaMathJax_Size3",h="GyrePagellaMathJax_Size4",f="GyrePagellaMathJax_Size5",e="GyrePagellaMathJax_Size6",s="GyrePagellaMathJax_Symbols",m="GyrePagellaMathJax_Variants";var C={774:{dir:p,HW:[[362,t],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},785:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},812:{dir:p,HW:[[348,l],[613,k],[731,j],[874,i],[1045,h],[1251,f],[1498,e]]},813:{dir:p,HW:[[348,l],[613,k],[731,j],[874,i],[1045,h],[1251,f],[1498,e]]},814:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},815:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},816:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1042,h],[1247,f],[1496,e]]},819:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:p,HW:[[386,t],[510,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:p,HW:[[458,l],[582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:p,HW:[[367,l],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[558,t],[876,k]]},8599:{dir:d,HW:[[558,t],[876,k]]},8600:{dir:d,HW:[[558,t],[876,k]]},8601:{dir:d,HW:[[558,t],[876,k]]},8602:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:p,HW:[[835,t],[1285,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[835,u],[1285,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:p,HW:[[835,t],[1285,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[835,u],[1285,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[760,u],[1210,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[760,u],[1210,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:p,HW:[[845,t],[1295,k]]},8622:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[645,t],[915,k]]},8625:{dir:d,HW:[[644,t],[915,k]]},8626:{dir:d,HW:[[645,u],[915,k]]},8627:{dir:d,HW:[[644,u],[915,k]]},8630:{dir:p,HW:[[685,t],[1022,k]]},8631:{dir:p,HW:[[685,t],[1022,k]]},8636:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:p,HW:[[770,t],[1220,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[770,u],[1220,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:p,HW:[[770,t],[1220,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:p,HW:[[769,t],[1219,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:p,HW:[[769,t],[1219,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[622,u],[940,k]]},8663:{dir:d,HW:[[622,u],[940,k]]},8664:{dir:d,HW:[[622,u],[940,k]]},8665:{dir:d,HW:[[622,u],[940,k]]},8666:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:p,HW:[[760,u],[1210,k]]},8669:{dir:p,HW:[[760,t],[1210,k]]},8678:{dir:p,HW:[[887,u],[1337,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[887,u],[1337,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:p,HW:[[887,u],[1337,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[887,u],[1337,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[910,u],[1360,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[770,u],[1220,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:p,HW:[[760,u],[1210,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1000,B],[1442,k]]},8720:{dir:d,HW:[[1000,B],[1442,k]]},8721:{dir:d,HW:[[1000,B],[1442,k]]},8747:{dir:d,HW:[[1092,t],[2025,k]],stretch:{top:[57656,e],ext:[9134,s],bot:[57657,e]}},8748:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8749:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57661,e],ext:[57662,e],bot:[57663,e]}},8750:{dir:d,HW:[[1092,B,null,8751],[2025,k]]},8751:{dir:d,HW:[[1092,B],[2025,k]]},8752:{dir:d,HW:[[1092,B],[2025,k]]},8753:{dir:d,HW:[[1092,B],[2025,k]]},8754:{dir:d,HW:[[1092,B],[2025,k]]},8755:{dir:d,HW:[[1092,B],[2025,k]]},8801:{dir:p,HW:[[600,t]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:p,HW:[[600,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[650,t],[800,k]]},8867:{dir:d,HW:[[650,t],[800,k]]},8868:{dir:d,HW:[[650,t],[800,k]]},8869:{dir:d,HW:[[650,t],[800,k]]},8896:{dir:d,HW:[[974,B],[1411,k]]},8897:{dir:d,HW:[[974,B],[1411,k]]},8898:{dir:d,HW:[[978,B],[1402,k]]},8899:{dir:d,HW:[[978,B],[1402,k]]},9140:{dir:p,HW:[[367,t],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:p,HW:[[367,t],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:p,HW:[[528,t],[1028,k],[1528,j],[2028,i],[2528,h],[3028,f],[3528,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:p,HW:[[528,t],[1028,k],[1528,j],[2028,i],[2528,h],[3028,f],[3528,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:p,HW:[[560,t],[1064,k],[1566,j],[2070,i],[2572,h],[3076,f],[3580,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:p,HW:[[560,t],[1064,k],[1566,j],[2070,i],[2572,h],[3076,f],[3580,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:p,HW:[[835,v],[1285,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[840,s],[1000,k],[1192,j],[1422,i],[1698,h],[2029,f],[2428,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[840,s],[1000,k],[1192,j],[1422,i],[1698,h],[2029,f],[2428,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[816,s],[1062,k],[1386,j],[1810,i],[2366,h],[3095,f],[4050,e]]},10219:{dir:d,HW:[[816,s],[1062,k],[1386,j],[1810,i],[2366,h],[3095,f],[4050,e]]},10752:{dir:d,HW:[[916,B],[1188,k]]},10753:{dir:d,HW:[[916,B],[1188,k]]},10754:{dir:d,HW:[[916,B],[1188,k]]},10755:{dir:d,HW:[[978,B],[1402,k]]},10756:{dir:d,HW:[[978,B],[1402,k]]},10757:{dir:d,HW:[[960,B],[1384,k]]},10758:{dir:d,HW:[[960,B],[1384,k]]},10761:{dir:d,HW:[[770,B],[974,k]]},10764:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57653,e],ext:[57654,e],bot:[57655,e]}},10769:{dir:d,HW:[[1092,B],[2025,k]]},11012:{dir:p,HW:[[909,b],[1359,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:p,HW:[[835,b],[1285,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[835,b],[1285,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[835,b],[1285,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:p,HW:[[845,b],[1295,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[845,b],[1295,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:p,HW:[[760,b],[1210,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(x){var z="2.7.9";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="GyrePagellaMathJax_Alphabets",u="GyrePagellaMathJax_Arrows",w="GyrePagellaMathJax_DoubleStruck",A="GyrePagellaMathJax_Fraktur",g="GyrePagellaMathJax_Latin",t="GyrePagellaMathJax_Main",l="GyrePagellaMathJax_Marks",v="GyrePagellaMathJax_Misc",D="GyrePagellaMathJax_Monospace",y="GyrePagellaMathJax_NonUnicode",q="GyrePagellaMathJax_Normal",B="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",n="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",k="GyrePagellaMathJax_Size1",j="GyrePagellaMathJax_Size2",i="GyrePagellaMathJax_Size3",h="GyrePagellaMathJax_Size4",f="GyrePagellaMathJax_Size5",e="GyrePagellaMathJax_Size6",s="GyrePagellaMathJax_Symbols",m="GyrePagellaMathJax_Variants";var C={774:{dir:p,HW:[[362,t],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},785:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},812:{dir:p,HW:[[348,l],[613,k],[731,j],[874,i],[1045,h],[1251,f],[1498,e]]},813:{dir:p,HW:[[348,l],[613,k],[731,j],[874,i],[1045,h],[1251,f],[1498,e]]},814:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},815:{dir:p,HW:[[362,l],[631,k],[752,j],[897,i],[1070,h],[1279,f],[1528,e]]},816:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1042,h],[1247,f],[1496,e]]},819:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:p,HW:[[386,t],[510,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:p,HW:[[458,l],[582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:p,HW:[[367,l],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:p,HW:[[384,l],[510,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[558,t],[876,k]]},8599:{dir:d,HW:[[558,t],[876,k]]},8600:{dir:d,HW:[[558,t],[876,k]]},8601:{dir:d,HW:[[558,t],[876,k]]},8602:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:p,HW:[[835,t],[1285,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[835,u],[1285,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:p,HW:[[835,t],[1285,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[835,u],[1285,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[760,u],[1210,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[760,u],[1210,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:p,HW:[[790,t],[1240,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:p,HW:[[845,t],[1295,k]]},8622:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[645,t],[915,k]]},8625:{dir:d,HW:[[644,t],[915,k]]},8626:{dir:d,HW:[[645,u],[915,k]]},8627:{dir:d,HW:[[644,u],[915,k]]},8630:{dir:p,HW:[[685,t],[1022,k]]},8631:{dir:p,HW:[[685,t],[1022,k]]},8636:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:p,HW:[[770,t],[1220,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[770,u],[1220,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:p,HW:[[770,t],[1220,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[760,t],[1210,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:p,HW:[[769,t],[1219,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:p,HW:[[769,t],[1219,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:p,HW:[[845,t],[1295,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[622,u],[940,k]]},8663:{dir:d,HW:[[622,u],[940,k]]},8664:{dir:d,HW:[[622,u],[940,k]]},8665:{dir:d,HW:[[622,u],[940,k]]},8666:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:p,HW:[[760,t],[1210,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:p,HW:[[760,u],[1210,k]]},8669:{dir:p,HW:[[760,t],[1210,k]]},8678:{dir:p,HW:[[887,u],[1337,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[887,u],[1337,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:p,HW:[[887,u],[1337,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[887,u],[1337,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[910,u],[1360,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[770,u],[1220,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:p,HW:[[760,u],[1210,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1000,B],[1442,k]]},8720:{dir:d,HW:[[1000,B],[1442,k]]},8721:{dir:d,HW:[[1000,B],[1442,k]]},8747:{dir:d,HW:[[1092,t],[2025,k]],stretch:{top:[57656,e],ext:[9134,s],bot:[57657,e]}},8748:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8749:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57661,e],ext:[57662,e],bot:[57663,e]}},8750:{dir:d,HW:[[1092,B,null,8751],[2025,k]]},8751:{dir:d,HW:[[1092,B],[2025,k]]},8752:{dir:d,HW:[[1092,B],[2025,k]]},8753:{dir:d,HW:[[1092,B],[2025,k]]},8754:{dir:d,HW:[[1092,B],[2025,k]]},8755:{dir:d,HW:[[1092,B],[2025,k]]},8801:{dir:p,HW:[[600,t]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:p,HW:[[600,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[650,t],[800,k]]},8867:{dir:d,HW:[[650,t],[800,k]]},8868:{dir:d,HW:[[650,t],[800,k]]},8869:{dir:d,HW:[[650,t],[800,k]]},8896:{dir:d,HW:[[974,B],[1411,k]]},8897:{dir:d,HW:[[974,B],[1411,k]]},8898:{dir:d,HW:[[978,B],[1402,k]]},8899:{dir:d,HW:[[978,B],[1402,k]]},9140:{dir:p,HW:[[367,t],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:p,HW:[[367,t],[740,k],[1113,j],[1484,i],[1855,h],[2226,f],[2593,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:p,HW:[[528,t],[1028,k],[1528,j],[2028,i],[2528,h],[3028,f],[3528,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:p,HW:[[528,t],[1028,k],[1528,j],[2028,i],[2528,h],[3028,f],[3528,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:p,HW:[[560,t],[1064,k],[1566,j],[2070,i],[2572,h],[3076,f],[3580,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:p,HW:[[560,t],[1064,k],[1566,j],[2070,i],[2572,h],[3076,f],[3580,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:p,HW:[[835,v],[1285,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[840,s],[1000,k],[1192,j],[1422,i],[1698,h],[2029,f],[2428,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[840,s],[1000,k],[1192,j],[1422,i],[1698,h],[2029,f],[2428,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[816,s],[1062,k],[1386,j],[1810,i],[2366,h],[3095,f],[4050,e]]},10219:{dir:d,HW:[[816,s],[1062,k],[1386,j],[1810,i],[2366,h],[3095,f],[4050,e]]},10752:{dir:d,HW:[[916,B],[1188,k]]},10753:{dir:d,HW:[[916,B],[1188,k]]},10754:{dir:d,HW:[[916,B],[1188,k]]},10755:{dir:d,HW:[[978,B],[1402,k]]},10756:{dir:d,HW:[[978,B],[1402,k]]},10757:{dir:d,HW:[[960,B],[1384,k]]},10758:{dir:d,HW:[[960,B],[1384,k]]},10761:{dir:d,HW:[[770,B],[974,k]]},10764:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57653,e],ext:[57654,e],bot:[57655,e]}},10769:{dir:d,HW:[[1092,B],[2025,k]]},11012:{dir:p,HW:[[909,b],[1359,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:p,HW:[[835,b],[1285,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[835,b],[1285,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[835,b],[1285,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:p,HW:[[845,b],[1295,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[845,b],[1295,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:p,HW:[[760,b],[1210,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js b/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js
index 4ce44554b5..bb883f2776 100644
--- a/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js
+++ b/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(z,e,E,o){var B="2.7.6";var c="GyrePagellaMathJax_Alphabets",w="GyrePagellaMathJax_Arrows",y="GyrePagellaMathJax_DoubleStruck",C="GyrePagellaMathJax_Fraktur",h="GyrePagellaMathJax_Latin",v="GyrePagellaMathJax_Main",n="GyrePagellaMathJax_Marks",x="GyrePagellaMathJax_Misc",F="GyrePagellaMathJax_Monospace",A="GyrePagellaMathJax_NonUnicode",s="GyrePagellaMathJax_Normal",D="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",q="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",m="GyrePagellaMathJax_Size1",l="GyrePagellaMathJax_Size2",k="GyrePagellaMathJax_Size3",i="GyrePagellaMathJax_Size4",g="GyrePagellaMathJax_Size5",f="GyrePagellaMathJax_Size6",u="GyrePagellaMathJax_Symbols",p="GyrePagellaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{GyrePagellaMathJax_Alphabets:"Alphabets/Regular/Main.js",GyrePagellaMathJax_Arrows:"Arrows/Regular/Main.js",GyrePagellaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyrePagellaMathJax_Fraktur:"Fraktur/Regular/Main.js",GyrePagellaMathJax_Latin:"Latin/Regular/Main.js",GyrePagellaMathJax_Main:"Main/Regular/Main.js",GyrePagellaMathJax_Marks:"Marks/Regular/Main.js",GyrePagellaMathJax_Misc:"Misc/Regular/Main.js",GyrePagellaMathJax_Monospace:"Monospace/Regular/Main.js",GyrePagellaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyrePagellaMathJax_Normal:"Normal/Regular/Main.js",GyrePagellaMathJax_Operators:"Operators/Regular/Main.js",GyrePagellaMathJax_SansSerif:"SansSerif/Regular/Main.js",GyrePagellaMathJax_Script:"Script/Regular/Main.js",GyrePagellaMathJax_Shapes:"Shapes/Regular/Main.js",GyrePagellaMathJax_Size1:"Size1/Regular/Main.js",GyrePagellaMathJax_Size2:"Size2/Regular/Main.js",GyrePagellaMathJax_Size3:"Size3/Regular/Main.js",GyrePagellaMathJax_Size4:"Size4/Regular/Main.js",GyrePagellaMathJax_Size5:"Size5/Regular/Main.js",GyrePagellaMathJax_Size6:"Size6/Regular/Main.js",GyrePagellaMathJax_Symbols:"Symbols/Regular/Main.js",GyrePagellaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Gyre-Pagella-variant":{fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true},"-tex-oldstyle":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f],[2612,f,1.081]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f],[2612,f,1.081]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},61:{dir:r,HW:[[600,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[840,v],[1000,m],[1192,l],[1422,k],[1698,i],[2029,g],[2428,f],[2612,f,1.076]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},93:{dir:d,HW:[[840,v],[1000,m],[1192,l],[1422,k],[1698,i],[2029,g],[2428,f],[2612,f,1.076]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[838,v],[998,m],[1190,l],[1420,k],[1696,i],[2028,g],[2426,f],[2612,f,1.077]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[838,v],[998,m],[1190,l],[1420,k],[1696,i],[2028,g],[2426,f],[2612,f,1.077]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[348,v],[613,m],[731,l],[874,k],[1045,i],[1251,g],[1498,f]]},771:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1042,i],[1247,g],[1496,f]]},773:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[348,v],[613,m],[731,l],[874,k],[1045,i],[1251,g],[1498,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[1000,y],[1442,m]]},8592:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[845,v],[1295,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[845,v],[1295,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[760,w],[1210,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[845,v],[1295,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[845,v],[1295,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{HW:[],stretch:{rep:[8722,v,0,0,0,-0.27,-0.28]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[790,v],[1150,m],[1510,l],[1870,k],[2230,i],[2590,g],[2950,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{dir:d,HW:[[816,u],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},9002:{dir:d,HW:[[816,u],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},9130:{dir:d,HW:[[596,u]],stretch:{ext:[9130,u]}},9135:{alias:8722,dir:r},9136:{dir:d,HW:[[616,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[616,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[800,v,null,124],[1269,v,1.586,124],[1717,v,2.146,124],[2164,v,2.705,124],[2612,v,3.265,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[540,v],[1038,m],[1538,l],[2037,k],[2538,i],[3038,g],[3538,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[540,v],[1038,m],[1538,l],[2037,k],[2538,i],[3038,g],[3538,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[816,v],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},10217:{dir:d,HW:[[816,v],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},10218:j,10219:j,10222:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[835,w],[1285,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[835,w],[1285,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Main/Regular/Main.js",function(){z.FONTDATA.FONTS[v][8722][0]=z.FONTDATA.FONTS[v][43][0];z.FONTDATA.FONTS[v][8722][1]=z.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;for(G=8747;G<=8749;G++){z.FONTDATA.FONTS[m][G][2]-=190}for(G=8750;G<=8753;G++){z.FONTDATA.FONTS[m][G][2]-=100}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(z,e,E,o){var B="2.7.9";var c="GyrePagellaMathJax_Alphabets",w="GyrePagellaMathJax_Arrows",y="GyrePagellaMathJax_DoubleStruck",C="GyrePagellaMathJax_Fraktur",h="GyrePagellaMathJax_Latin",v="GyrePagellaMathJax_Main",n="GyrePagellaMathJax_Marks",x="GyrePagellaMathJax_Misc",F="GyrePagellaMathJax_Monospace",A="GyrePagellaMathJax_NonUnicode",s="GyrePagellaMathJax_Normal",D="GyrePagellaMathJax_Operators",a="GyrePagellaMathJax_SansSerif",q="GyrePagellaMathJax_Script",b="GyrePagellaMathJax_Shapes",m="GyrePagellaMathJax_Size1",l="GyrePagellaMathJax_Size2",k="GyrePagellaMathJax_Size3",i="GyrePagellaMathJax_Size4",g="GyrePagellaMathJax_Size5",f="GyrePagellaMathJax_Size6",u="GyrePagellaMathJax_Symbols",p="GyrePagellaMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{GyrePagellaMathJax_Alphabets:"Alphabets/Regular/Main.js",GyrePagellaMathJax_Arrows:"Arrows/Regular/Main.js",GyrePagellaMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyrePagellaMathJax_Fraktur:"Fraktur/Regular/Main.js",GyrePagellaMathJax_Latin:"Latin/Regular/Main.js",GyrePagellaMathJax_Main:"Main/Regular/Main.js",GyrePagellaMathJax_Marks:"Marks/Regular/Main.js",GyrePagellaMathJax_Misc:"Misc/Regular/Main.js",GyrePagellaMathJax_Monospace:"Monospace/Regular/Main.js",GyrePagellaMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyrePagellaMathJax_Normal:"Normal/Regular/Main.js",GyrePagellaMathJax_Operators:"Operators/Regular/Main.js",GyrePagellaMathJax_SansSerif:"SansSerif/Regular/Main.js",GyrePagellaMathJax_Script:"Script/Regular/Main.js",GyrePagellaMathJax_Shapes:"Shapes/Regular/Main.js",GyrePagellaMathJax_Size1:"Size1/Regular/Main.js",GyrePagellaMathJax_Size2:"Size2/Regular/Main.js",GyrePagellaMathJax_Size3:"Size3/Regular/Main.js",GyrePagellaMathJax_Size4:"Size4/Regular/Main.js",GyrePagellaMathJax_Size5:"Size5/Regular/Main.js",GyrePagellaMathJax_Size6:"Size6/Regular/Main.js",GyrePagellaMathJax_Symbols:"Symbols/Regular/Main.js",GyrePagellaMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Gyre-Pagella-variant":{fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true},"-tex-oldstyle":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f],[2612,f,1.081]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f],[2612,f,1.081]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},61:{dir:r,HW:[[600,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[840,v],[1000,m],[1192,l],[1422,k],[1698,i],[2029,g],[2428,f],[2612,f,1.076]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},93:{dir:d,HW:[[840,v],[1000,m],[1192,l],[1422,k],[1698,i],[2029,g],[2428,f],[2612,f,1.076]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[838,v],[998,m],[1190,l],[1420,k],[1696,i],[2028,g],[2426,f],[2612,f,1.077]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[838,v],[998,m],[1190,l],[1420,k],[1696,i],[2028,g],[2426,f],[2612,f,1.077]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[348,v],[613,m],[731,l],[874,k],[1045,i],[1251,g],[1498,f]]},771:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1042,i],[1247,g],[1496,f]]},773:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[348,v],[613,m],[731,l],[874,k],[1045,i],[1251,g],[1498,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[1000,y],[1442,m]]},8592:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[845,v],[1295,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[845,v],[1295,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[760,w],[1210,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[760,v],[1210,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[760,v],[1210,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[845,v],[1295,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[845,v],[1295,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{HW:[],stretch:{rep:[8722,v,0,0,0,-0.27,-0.28]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[790,v],[1150,m],[1510,l],[1870,k],[2230,i],[2590,g],[2950,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2612,f,1.085]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{dir:d,HW:[[816,u],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},9002:{dir:d,HW:[[816,u],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},9130:{dir:d,HW:[[596,u]],stretch:{ext:[9130,u]}},9135:{alias:8722,dir:r},9136:{dir:d,HW:[[616,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[616,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[800,v,null,124],[1269,v,1.586,124],[1717,v,2.146,124],[2164,v,2.705,124],[2612,v,3.265,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[540,v],[1038,m],[1538,l],[2037,k],[2538,i],[3038,g],[3538,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[540,v],[1038,m],[1538,l],[2037,k],[2538,i],[3038,g],[3538,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[816,v],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},10217:{dir:d,HW:[[816,v],[1062,m],[1386,l],[1810,k],[2366,i],[3095,g],[4050,f]]},10218:j,10219:j,10222:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[828,v],[988,m],[1180,l],[1410,k],[1686,i],[2017,g],[2416,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[835,w],[1285,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[835,w],[1285,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Main/Regular/Main.js",function(){z.FONTDATA.FONTS[v][8722][0]=z.FONTDATA.FONTS[v][43][0];z.FONTDATA.FONTS[v][8722][1]=z.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;for(G=8747;G<=8749;G++){z.FONTDATA.FONTS[m][G][2]-=190}for(G=8750;G<=8753;G++){z.FONTDATA.FONTS[m][G][2]-=100}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js
index f7829ac453..cf209ad5f2 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js
index 51243942ae..829c9fcf89 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
index d6390f3ad0..e444b44d17 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js
index 175dc0f2ac..41da9c98de 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js
index 11ca127174..3c414d1f28 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js
index 85e929f1a1..d3a08fa330 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js
index aef8f5dec7..108f5cc473 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js
index c2070ed34a..30e6579854 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js
index 5fd57f54f0..746aa852d6 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
index d1e78a9986..9875231e74 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js
index 2d23950fc7..af33588e95 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js
index 76b0241a2e..c3ec34f008 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js
index a487a45741..026eb633a2 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js
index 75bd6eea15..34eb498c06 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js
index 9e69718f76..d9cd0ba545 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js
index e9e405123a..9bb1910ecb 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js
index a27e6f7091..d7a3448c66 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js
index e87ca2232b..54ffa98a9d 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js
index 0e6b8edce7..e8ba1448c7 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js
index 940174dee9..845bfd2380 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js
index 02eee0213e..e8d4e8df19 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js
index c706ac9248..1f6930de9d 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js b/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js
index 4265d92b07..7810ba5fe9 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js b/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js
index 7a271ff98c..3b5d87a249 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(x){var z="2.7.6";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="GyreTermesMathJax_Alphabets",u="GyreTermesMathJax_Arrows",w="GyreTermesMathJax_DoubleStruck",A="GyreTermesMathJax_Fraktur",g="GyreTermesMathJax_Latin",t="GyreTermesMathJax_Main",l="GyreTermesMathJax_Marks",v="GyreTermesMathJax_Misc",D="GyreTermesMathJax_Monospace",y="GyreTermesMathJax_NonUnicode",q="GyreTermesMathJax_Normal",B="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",n="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",k="GyreTermesMathJax_Size1",j="GyreTermesMathJax_Size2",i="GyreTermesMathJax_Size3",h="GyreTermesMathJax_Size4",f="GyreTermesMathJax_Size5",e="GyreTermesMathJax_Size6",s="GyreTermesMathJax_Symbols",m="GyreTermesMathJax_Variants";var C={774:{dir:p,HW:[[350,t],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},785:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},812:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1041,h],[1249,f],[1496,e]]},813:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1041,h],[1249,f],[1496,e]]},814:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},815:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},816:{dir:p,HW:[[334,l],[601,k],[720,j],[863,i],[1037,h],[1241,f],[1491,e]]},819:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:p,HW:[[386,t],[510,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:p,HW:[[458,l],[582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:p,HW:[[375,l],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[506,t],[733,k]]},8599:{dir:d,HW:[[506,t],[733,k]]},8600:{dir:d,HW:[[506,t],[733,k]]},8601:{dir:d,HW:[[506,t],[733,k]]},8602:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[870,u],[1190,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[870,u],[1190,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[690,u],[1010,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[690,u],[1010,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:p,HW:[[880,t],[1200,k]]},8622:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[696,t],[888,k]]},8625:{dir:d,HW:[[696,t],[888,k]]},8626:{dir:d,HW:[[696,u],[888,k]]},8627:{dir:d,HW:[[696,u],[888,k]]},8630:{dir:p,HW:[[639,t],[879,k]]},8631:{dir:p,HW:[[639,t],[879,k]]},8636:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:p,HW:[[700,t],[1020,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[700,u],[1020,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:p,HW:[[700,t],[1020,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[690,t],[1010,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[690,t],[1010,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[560,u],[787,k]]},8663:{dir:d,HW:[[560,u],[787,k]]},8664:{dir:d,HW:[[560,u],[787,k]]},8665:{dir:d,HW:[[560,u],[787,k]]},8666:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:p,HW:[[690,u],[1010,k]]},8669:{dir:p,HW:[[690,t],[1010,k]]},8678:{dir:p,HW:[[913,u],[1233,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[913,u],[1233,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:p,HW:[[913,u],[1233,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[913,u],[1233,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[930,u],[1250,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[700,u],[1020,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:p,HW:[[690,u],[1010,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[954,B],[1374,k]]},8720:{dir:d,HW:[[954,B],[1374,k]]},8721:{dir:d,HW:[[954,B],[1374,k]]},8747:{dir:d,HW:[[1092,t],[2025,k]],stretch:{top:[57653,e],ext:[9134,s],bot:[57654,e]}},8748:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57655,e],ext:[57656,e],bot:[57657,e]}},8749:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8750:{dir:d,HW:[[1092,B,null,8751],[2025,k]]},8751:{dir:d,HW:[[1092,B],[2025,k]]},8752:{dir:d,HW:[[1092,B],[2025,k]]},8753:{dir:d,HW:[[1092,B],[2025,k]]},8754:{dir:d,HW:[[1092,B],[2025,k]]},8755:{dir:d,HW:[[1092,B],[2025,k]]},8801:{dir:p,HW:[[500,t]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:p,HW:[[500,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[650,t],[800,k]]},8867:{dir:d,HW:[[650,t],[800,k]]},8868:{dir:d,HW:[[650,t],[800,k]]},8869:{dir:d,HW:[[650,t],[800,k]]},8896:{dir:d,HW:[[888,B],[1165,k]]},8897:{dir:d,HW:[[888,B],[1165,k]]},8898:{dir:d,HW:[[898,B],[1170,k]]},8899:{dir:d,HW:[[898,B],[1170,k]]},9140:{dir:p,HW:[[375,t],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:p,HW:[[375,t],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:p,HW:[[514,t],[1014,k],[1514,j],[2013,i],[2514,h],[3014,f],[3514,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:p,HW:[[514,t],[1014,k],[1514,j],[2013,i],[2514,h],[3014,f],[3514,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:p,HW:[[562,t],[1066,k],[1568,j],[2072,i],[2576,h],[3080,f],[3584,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:p,HW:[[562,t],[1066,k],[1568,j],[2072,i],[2576,h],[3080,f],[3584,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:p,HW:[[870,v],[1190,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[836,s],[998,k],[1190,j],[1422,i],[1698,h],[2032,f],[2432,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[836,s],[998,k],[1190,j],[1422,i],[1698,h],[2032,f],[2432,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[812,s],[1060,k],[1382,j],[1806,i],[2364,h],[3092,f],[4048,e]]},10219:{dir:d,HW:[[812,s],[1060,k],[1382,j],[1806,i],[2364,h],[3092,f],[4048,e]]},10752:{dir:d,HW:[[876,B],[1132,k]]},10753:{dir:d,HW:[[876,B],[1132,k]]},10754:{dir:d,HW:[[876,B],[1132,k]]},10755:{dir:d,HW:[[898,B],[1170,k]]},10756:{dir:d,HW:[[898,B],[1170,k]]},10757:{dir:d,HW:[[880,B],[1152,k]]},10758:{dir:d,HW:[[880,B],[1152,k]]},10761:{dir:d,HW:[[716,B],[906,k]]},10764:{dir:d,HW:[[1092,B],[2025,k]]},10769:{dir:d,HW:[[1092,B],[2025,k]]},11012:{dir:p,HW:[[931,b],[1251,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:p,HW:[[870,b],[1190,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[870,b],[1190,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[870,b],[1190,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:p,HW:[[880,b],[1200,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[880,b],[1200,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:p,HW:[[690,b],[1010,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(x){var z="2.7.9";var o=x.FONTDATA.DELIMITERS;var p="H",d="V";var c="GyreTermesMathJax_Alphabets",u="GyreTermesMathJax_Arrows",w="GyreTermesMathJax_DoubleStruck",A="GyreTermesMathJax_Fraktur",g="GyreTermesMathJax_Latin",t="GyreTermesMathJax_Main",l="GyreTermesMathJax_Marks",v="GyreTermesMathJax_Misc",D="GyreTermesMathJax_Monospace",y="GyreTermesMathJax_NonUnicode",q="GyreTermesMathJax_Normal",B="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",n="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",k="GyreTermesMathJax_Size1",j="GyreTermesMathJax_Size2",i="GyreTermesMathJax_Size3",h="GyreTermesMathJax_Size4",f="GyreTermesMathJax_Size5",e="GyreTermesMathJax_Size6",s="GyreTermesMathJax_Symbols",m="GyreTermesMathJax_Variants";var C={774:{dir:p,HW:[[350,t],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},785:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},812:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1041,h],[1249,f],[1496,e]]},813:{dir:p,HW:[[342,l],[608,k],[727,j],[870,i],[1041,h],[1249,f],[1496,e]]},814:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},815:{dir:p,HW:[[350,l],[620,k],[740,j],[885,i],[1058,h],[1266,f],[1515,e]]},816:{dir:p,HW:[[334,l],[601,k],[720,j],[863,i],[1037,h],[1241,f],[1491,e]]},819:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:p,HW:[[333,l],[500,k]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:p,HW:[[386,t],[510,k]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:p,HW:[[458,l],[582,k]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:p,HW:[[375,l],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:p,HW:[[376,l],[500,k]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:p,HW:[[386,l],[510,k]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[506,t],[733,k]]},8599:{dir:d,HW:[[506,t],[733,k]]},8600:{dir:d,HW:[[506,t],[733,k]]},8601:{dir:d,HW:[[506,t],[733,k]]},8602:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[870,u],[1190,k]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[870,u],[1190,k]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[690,u],[1010,k]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[690,u],[1010,k]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:p,HW:[[716,t],[1036,k]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:p,HW:[[880,t],[1200,k]]},8622:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[696,t],[888,k]]},8625:{dir:d,HW:[[696,t],[888,k]]},8626:{dir:d,HW:[[696,u],[888,k]]},8627:{dir:d,HW:[[696,u],[888,k]]},8630:{dir:p,HW:[[639,t],[879,k]]},8631:{dir:p,HW:[[639,t],[879,k]]},8636:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[680,t],[1000,k]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:p,HW:[[700,t],[1020,k]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[700,u],[1020,k]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:p,HW:[[700,t],[1020,k]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[690,t],[1010,k]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[690,t],[1010,k]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:p,HW:[[680,t],[1000,k]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:p,HW:[[880,t],[1200,k]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:p,HW:[[690,t],[1010,k]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[560,u],[787,k]]},8663:{dir:d,HW:[[560,u],[787,k]]},8664:{dir:d,HW:[[560,u],[787,k]]},8665:{dir:d,HW:[[560,u],[787,k]]},8666:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:p,HW:[[870,t],[1190,k]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:p,HW:[[690,u],[1010,k]]},8669:{dir:p,HW:[[690,t],[1010,k]]},8678:{dir:p,HW:[[913,u],[1233,k]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[913,u],[1233,k]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:p,HW:[[913,u],[1233,k]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[913,u],[1233,k]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[930,u],[1250,k]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[700,u],[1020,k]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:p,HW:[[690,u],[1010,k]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[954,B],[1374,k]]},8720:{dir:d,HW:[[954,B],[1374,k]]},8721:{dir:d,HW:[[954,B],[1374,k]]},8747:{dir:d,HW:[[1092,t],[2025,k]],stretch:{top:[57653,e],ext:[9134,s],bot:[57654,e]}},8748:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57655,e],ext:[57656,e],bot:[57657,e]}},8749:{dir:d,HW:[[1092,B],[2025,k]],stretch:{top:[57658,e],ext:[57659,e],bot:[57660,e]}},8750:{dir:d,HW:[[1092,B,null,8751],[2025,k]]},8751:{dir:d,HW:[[1092,B],[2025,k]]},8752:{dir:d,HW:[[1092,B],[2025,k]]},8753:{dir:d,HW:[[1092,B],[2025,k]]},8754:{dir:d,HW:[[1092,B],[2025,k]]},8755:{dir:d,HW:[[1092,B],[2025,k]]},8801:{dir:p,HW:[[500,t]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:p,HW:[[500,B]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[650,t],[800,k]]},8867:{dir:d,HW:[[650,t],[800,k]]},8868:{dir:d,HW:[[650,t],[800,k]]},8869:{dir:d,HW:[[650,t],[800,k]]},8896:{dir:d,HW:[[888,B],[1165,k]]},8897:{dir:d,HW:[[888,B],[1165,k]]},8898:{dir:d,HW:[[898,B],[1170,k]]},8899:{dir:d,HW:[[898,B],[1170,k]]},9140:{dir:p,HW:[[375,t],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:p,HW:[[375,t],[750,k],[1125,j],[1500,i],[1875,h],[2250,f],[2625,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:p,HW:[[514,t],[1014,k],[1514,j],[2013,i],[2514,h],[3014,f],[3514,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:p,HW:[[514,t],[1014,k],[1514,j],[2013,i],[2514,h],[3014,f],[3514,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:p,HW:[[562,t],[1066,k],[1568,j],[2072,i],[2576,h],[3080,f],[3584,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:p,HW:[[562,t],[1066,k],[1568,j],[2072,i],[2576,h],[3080,f],[3584,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:p,HW:[[870,v],[1190,k]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[836,s],[998,k],[1190,j],[1422,i],[1698,h],[2032,f],[2432,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[836,s],[998,k],[1190,j],[1422,i],[1698,h],[2032,f],[2432,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[812,s],[1060,k],[1382,j],[1806,i],[2364,h],[3092,f],[4048,e]]},10219:{dir:d,HW:[[812,s],[1060,k],[1382,j],[1806,i],[2364,h],[3092,f],[4048,e]]},10752:{dir:d,HW:[[876,B],[1132,k]]},10753:{dir:d,HW:[[876,B],[1132,k]]},10754:{dir:d,HW:[[876,B],[1132,k]]},10755:{dir:d,HW:[[898,B],[1170,k]]},10756:{dir:d,HW:[[898,B],[1170,k]]},10757:{dir:d,HW:[[880,B],[1152,k]]},10758:{dir:d,HW:[[880,B],[1152,k]]},10761:{dir:d,HW:[[716,B],[906,k]]},10764:{dir:d,HW:[[1092,B],[2025,k]]},10769:{dir:d,HW:[[1092,B],[2025,k]]},11012:{dir:p,HW:[[931,b],[1251,k]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:p,HW:[[870,b],[1190,k]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[870,b],[1190,k]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[870,b],[1190,k]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:p,HW:[[880,b],[1200,k]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[880,b],[1200,k]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:p,HW:[[690,b],[1010,k]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var r in C){if(C.hasOwnProperty(r)){o[r]=C[r]}}MathJax.Ajax.loadComplete(x.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/Gyre-Termes/fontdata.js b/jax/output/SVG/fonts/Gyre-Termes/fontdata.js
index 04d53b5185..fdeecd45cd 100644
--- a/jax/output/SVG/fonts/Gyre-Termes/fontdata.js
+++ b/jax/output/SVG/fonts/Gyre-Termes/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Gyre-Termes/fontdata.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Gyre-Termes/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(z,e,E,o){var B="2.7.6";var c="GyreTermesMathJax_Alphabets",w="GyreTermesMathJax_Arrows",y="GyreTermesMathJax_DoubleStruck",C="GyreTermesMathJax_Fraktur",h="GyreTermesMathJax_Latin",v="GyreTermesMathJax_Main",n="GyreTermesMathJax_Marks",x="GyreTermesMathJax_Misc",F="GyreTermesMathJax_Monospace",A="GyreTermesMathJax_NonUnicode",s="GyreTermesMathJax_Normal",D="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",q="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",m="GyreTermesMathJax_Size1",l="GyreTermesMathJax_Size2",k="GyreTermesMathJax_Size3",i="GyreTermesMathJax_Size4",g="GyreTermesMathJax_Size5",f="GyreTermesMathJax_Size6",u="GyreTermesMathJax_Symbols",p="GyreTermesMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{GyreTermesMathJax_Alphabets:"Alphabets/Regular/Main.js",GyreTermesMathJax_Arrows:"Arrows/Regular/Main.js",GyreTermesMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyreTermesMathJax_Fraktur:"Fraktur/Regular/Main.js",GyreTermesMathJax_Latin:"Latin/Regular/Main.js",GyreTermesMathJax_Main:"Main/Regular/Main.js",GyreTermesMathJax_Marks:"Marks/Regular/Main.js",GyreTermesMathJax_Misc:"Misc/Regular/Main.js",GyreTermesMathJax_Monospace:"Monospace/Regular/Main.js",GyreTermesMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyreTermesMathJax_Normal:"Normal/Regular/Main.js",GyreTermesMathJax_Operators:"Operators/Regular/Main.js",GyreTermesMathJax_SansSerif:"SansSerif/Regular/Main.js",GyreTermesMathJax_Script:"Script/Regular/Main.js",GyreTermesMathJax_Shapes:"Shapes/Regular/Main.js",GyreTermesMathJax_Size1:"Size1/Regular/Main.js",GyreTermesMathJax_Size2:"Size2/Regular/Main.js",GyreTermesMathJax_Size3:"Size3/Regular/Main.js",GyreTermesMathJax_Size4:"Size4/Regular/Main.js",GyreTermesMathJax_Size5:"Size5/Regular/Main.js",GyreTermesMathJax_Size6:"Size6/Regular/Main.js",GyreTermesMathJax_Symbols:"Symbols/Regular/Main.js",GyreTermesMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Gyre-Termes-variant":{fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true},"-tex-oldstyle":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[816,v],[976,m],[1168,l],[1398,k],[1674,i],[2005,g],[2404,f],[2780,f,1.157]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[816,v],[976,m],[1168,l],[1398,k],[1674,i],[2005,g],[2404,f],[2780,f,1.157]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[1827,k,1.016],[2356,i],[3086,g],[4043,f]]},61:{dir:r,HW:[[500,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[836,v],[998,m],[1190,l],[1422,k],[1698,i],[2032,g],[2432,f],[2780,f,1.143]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[1827,k,1.016],[2356,i],[3086,g],[4043,f]]},93:{dir:d,HW:[[836,v],[998,m],[1190,l],[1422,k],[1698,i],[2032,g],[2432,f],[2780,f,1.143]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2780,f,1.155]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2780,f,1.155]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1041,i],[1249,g],[1496,f]]},771:{dir:r,HW:[[334,v],[601,m],[720,l],[863,k],[1037,i],[1241,g],[1491,f]]},773:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1041,i],[1249,g],[1496,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[956,y],[1360,m]]},8592:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[880,v],[1200,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[880,v],[1200,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[690,w],[1010,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[880,v],[1200,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[880,v],[1200,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{HW:[],stretch:{rep:[8722,v,0,0,0,-0.224,-0.224]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[706,v],[1090,m],[1474,l],[1858,k],[2242,i],[2626,g],[3010,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{dir:d,HW:[[812,u],[1060,m],[1382,l],[1806,k],[2364,i],[3092,g],[4048,f]]},9002:{dir:d,HW:[[812,u],[1060,m],[1382,l],[1806,k],[2364,i],[3092,g],[4048,f]]},9130:{dir:d,HW:[[596,u]],stretch:{ext:[9130,u]}},9135:{alias:8722,dir:r},9136:{dir:d,HW:[[607,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[607,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[800,v,null,124],[1350,v,1.688,124],[1827,v,2.283,124],[2303,v,2.879,124],[2780,v,3.474,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[520,v],[1018,m],[1519,l],[2019,k],[2519,i],[3019,g],[3519,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[520,v],[1018,m],[1519,l],[2019,k],[2519,i],[3019,g],[3519,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[812,v],[1060,m],[1382,l],[1806,k],[1827,k,1.012],[2364,i],[3092,g],[4048,f]]},10217:{dir:d,HW:[[812,v],[1060,m],[1382,l],[1806,k],[1827,k,1.012],[2364,i],[3092,g],[4048,f]]},10218:j,10219:j,10222:{dir:d,HW:[[814,v],[974,m],[1166,l],[1396,k],[1672,i],[2004,g],[2402,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[814,v],[974,m],[1166,l],[1396,k],[1672,i],[2004,g],[2402,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[870,w],[1190,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[870,w],[1190,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Main/Regular/Main.js",function(){z.FONTDATA.FONTS[v][8722][0]=z.FONTDATA.FONTS[v][43][0];z.FONTDATA.FONTS[v][8722][1]=z.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;for(G=8747;G<=8749;G++){z.FONTDATA.FONTS[m][G][2]-=200}for(G=8750;G<=8753;G++){z.FONTDATA.FONTS[m][G][2]-=150}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(z,e,E,o){var B="2.7.9";var c="GyreTermesMathJax_Alphabets",w="GyreTermesMathJax_Arrows",y="GyreTermesMathJax_DoubleStruck",C="GyreTermesMathJax_Fraktur",h="GyreTermesMathJax_Latin",v="GyreTermesMathJax_Main",n="GyreTermesMathJax_Marks",x="GyreTermesMathJax_Misc",F="GyreTermesMathJax_Monospace",A="GyreTermesMathJax_NonUnicode",s="GyreTermesMathJax_Normal",D="GyreTermesMathJax_Operators",a="GyreTermesMathJax_SansSerif",q="GyreTermesMathJax_Script",b="GyreTermesMathJax_Shapes",m="GyreTermesMathJax_Size1",l="GyreTermesMathJax_Size2",k="GyreTermesMathJax_Size3",i="GyreTermesMathJax_Size4",g="GyreTermesMathJax_Size5",f="GyreTermesMathJax_Size6",u="GyreTermesMathJax_Symbols",p="GyreTermesMathJax_Variants";var r="H",d="V",t={load:"extra",dir:r},j={load:"extra",dir:d};z.Augment({FONTDATA:{version:B,baselineskip:1200,lineH:800,lineD:200,FONTS:{GyreTermesMathJax_Alphabets:"Alphabets/Regular/Main.js",GyreTermesMathJax_Arrows:"Arrows/Regular/Main.js",GyreTermesMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",GyreTermesMathJax_Fraktur:"Fraktur/Regular/Main.js",GyreTermesMathJax_Latin:"Latin/Regular/Main.js",GyreTermesMathJax_Main:"Main/Regular/Main.js",GyreTermesMathJax_Marks:"Marks/Regular/Main.js",GyreTermesMathJax_Misc:"Misc/Regular/Main.js",GyreTermesMathJax_Monospace:"Monospace/Regular/Main.js",GyreTermesMathJax_NonUnicode:"NonUnicode/Regular/Main.js",GyreTermesMathJax_Normal:"Normal/Regular/Main.js",GyreTermesMathJax_Operators:"Operators/Regular/Main.js",GyreTermesMathJax_SansSerif:"SansSerif/Regular/Main.js",GyreTermesMathJax_Script:"Script/Regular/Main.js",GyreTermesMathJax_Shapes:"Shapes/Regular/Main.js",GyreTermesMathJax_Size1:"Size1/Regular/Main.js",GyreTermesMathJax_Size2:"Size2/Regular/Main.js",GyreTermesMathJax_Size3:"Size3/Regular/Main.js",GyreTermesMathJax_Size4:"Size4/Regular/Main.js",GyreTermesMathJax_Size5:"Size5/Regular/Main.js",GyreTermesMathJax_Size6:"Size6/Regular/Main.js",GyreTermesMathJax_Symbols:"Symbols/Regular/Main.js",GyreTermesMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},bold:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[y],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[C],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[C],bold:true,offsetA:120172},script:{fonts:[q],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[q],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[F],offsetA:120432,offsetN:120822},"-Gyre-Termes-variant":{fonts:[p,v,s,F,h,c,n,w,D,u,b,x,A,m]},"-tex-caligraphic":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true},"-tex-oldstyle":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m]},"-tex-caligraphic-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],bold:true},"-tex-mathit":{fonts:[v,s,F,h,c,n,w,D,u,b,x,p,A,m],italic:true,noIC:true},"-largeOp":{fonts:[m,v]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[816,v],[976,m],[1168,l],[1398,k],[1674,i],[2005,g],[2404,f],[2780,f,1.157]],stretch:{bot:[9117,u],ext:[9116,u],top:[9115,u]}},41:{dir:d,HW:[[816,v],[976,m],[1168,l],[1398,k],[1674,i],[2005,g],[2404,f],[2780,f,1.157]],stretch:{bot:[9120,u],ext:[9119,u],top:[9118,u]}},45:{alias:8722,dir:r},47:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[1827,k,1.016],[2356,i],[3086,g],[4043,f]]},61:{dir:r,HW:[[500,v]],stretch:{left:[57344,f],rep:[57345,f],right:[57346,f]}},91:{dir:d,HW:[[836,v],[998,m],[1190,l],[1422,k],[1698,i],[2032,g],[2432,f],[2780,f,1.143]],stretch:{bot:[9123,u],ext:[9122,u],top:[9121,u]}},92:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[1827,k,1.016],[2356,i],[3086,g],[4043,f]]},93:{dir:d,HW:[[836,v],[998,m],[1190,l],[1422,k],[1698,i],[2032,g],[2432,f],[2780,f,1.143]],stretch:{bot:[9126,u],ext:[9125,u],top:[9124,u]}},94:{alias:770,dir:r},95:{alias:818,dir:r},123:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2780,f,1.155]],stretch:{bot:[9129,u],ext:[57347,f],mid:[9128,u],top:[9127,u]}},124:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},125:{dir:d,HW:[[820,v],[980,m],[1172,l],[1402,k],[1678,i],[2009,g],[2408,f],[2780,f,1.155]],stretch:{bot:[9133,u],ext:[57351,f],mid:[9132,u],top:[9131,u]}},126:{alias:771,dir:r},175:{alias:818,dir:r},710:{alias:770,dir:r},713:{alias:8722,dir:r},732:{alias:771,dir:r},770:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1041,i],[1249,g],[1496,f]]},771:{dir:r,HW:[[334,v],[601,m],[720,l],[863,k],[1037,i],[1241,g],[1491,f]]},773:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57595,f],rep:[57596,f],right:[57597,f]}},774:t,780:{dir:r,HW:[[342,v],[608,m],[727,l],[870,k],[1041,i],[1249,g],[1496,f]]},785:t,812:t,813:t,814:t,815:t,816:t,818:{dir:r,HW:[[333,n],[500,m]],stretch:{left:[57589,f],rep:[57590,f],right:[57591,f]}},819:t,831:t,8213:{alias:8722,dir:r},8214:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8215:{alias:8722,dir:r},8254:{alias:8722,dir:r},8260:{dir:d,HW:[[800,v],[1048,m],[1372,l],[1798,k],[2356,i],[3086,g],[4043,f]]},8400:t,8401:t,8406:t,8407:t,8417:t,8425:t,8428:t,8429:t,8430:t,8431:t,8512:{dir:d,HW:[[956,y],[1360,m]]},8592:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57379,f],rep:[57380,f],right:[57381,f]}},8593:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57385,f],ext:[57386,f],top:[57387,f]}},8594:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57382,f],rep:[57383,f],right:[57384,f]}},8595:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57388,f],ext:[57389,f],top:[57390,f]}},8596:{dir:r,HW:[[880,v],[1200,m]],stretch:{left:[57399,f],rep:[57400,f],right:[57401,f]}},8597:{dir:d,HW:[[880,v],[1200,m]],stretch:{bot:[57402,f],ext:[57403,f],top:[57404,f]}},8598:j,8599:j,8600:j,8601:j,8602:t,8603:t,8606:t,8607:j,8608:t,8609:j,8610:t,8611:t,8612:{dir:r,HW:[[690,w],[1010,m]],stretch:{left:[57427,f],rep:[57428,f],right:[57429,f]}},8613:j,8614:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57430,f],rep:[57431,f],right:[57432,f]}},8615:j,8617:t,8618:t,8619:t,8620:t,8621:t,8622:t,8624:j,8625:j,8626:j,8627:j,8630:t,8631:t,8636:t,8637:t,8638:j,8639:j,8640:t,8641:t,8642:j,8643:j,8644:t,8645:j,8646:t,8647:t,8648:j,8649:t,8650:j,8651:t,8652:t,8653:t,8654:t,8655:t,8656:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57511,f],rep:[57512,f],right:[57513,f]}},8657:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57517,f],ext:[57518,f],top:[57519,f]}},8658:{dir:r,HW:[[690,v],[1010,m]],stretch:{left:[57514,f],rep:[57515,f],right:[57516,f]}},8659:{dir:d,HW:[[690,v],[1010,m]],stretch:{bot:[57520,f],ext:[57521,f],top:[57522,f]}},8660:{dir:r,HW:[[880,v],[1200,m]],stretch:{left:[57523,f],rep:[57524,f],right:[57525,f]}},8661:{dir:d,HW:[[880,v],[1200,m]],stretch:{bot:[57526,f],ext:[57527,f],top:[57528,f]}},8662:j,8663:j,8664:j,8665:j,8666:t,8667:t,8668:t,8669:t,8678:t,8679:j,8680:t,8681:j,8691:j,8693:j,8694:t,8719:j,8720:j,8721:j,8722:{HW:[],stretch:{rep:[8722,v,0,0,0,-0.224,-0.224]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[706,v],[1090,m],[1474,l],[1858,k],[2242,i],[2626,g],[3010,f]],stretch:{bot:[9143,u],ext:[57651,f],top:[57652,f]}},8739:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57348,f],ext:[57349,f],top:[57350,f]}},8741:{dir:d,HW:[[800,v],[960,m],[1152,l],[1382,k],[1658,i],[1990,g],[2388,f]],stretch:{bot:[57642,f],ext:[57643,f],top:[57644,f]}},8747:j,8748:j,8749:j,8750:j,8751:j,8752:j,8753:j,8754:j,8755:j,8801:t,8803:t,8866:j,8867:j,8868:j,8869:j,8896:j,8897:j,8898:j,8899:j,8968:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{ext:[9122,u],top:[9121,u]}},8969:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{ext:[9125,u],top:[9124,u]}},8970:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{bot:[9123,u],ext:[9122,u]}},8971:{dir:d,HW:[[818,v],[979,m],[1171,l],[1402,k],[1678,i],[2011,g],[2410,f],[2780,f,1.154]],stretch:{bot:[9126,u],ext:[9125,u]}},8978:{alias:9180,dir:r},8994:{alias:9180,dir:r},8995:{alias:9181,dir:r},9001:{dir:d,HW:[[812,u],[1060,m],[1382,l],[1806,k],[2364,i],[3092,g],[4048,f]]},9002:{dir:d,HW:[[812,u],[1060,m],[1382,l],[1806,k],[2364,i],[3092,g],[4048,f]]},9130:{dir:d,HW:[[596,u]],stretch:{ext:[9130,u]}},9135:{alias:8722,dir:r},9136:{dir:d,HW:[[607,u,null,9127]],stretch:{top:[9127,u],ext:[9130,u],bot:[9133,u]}},9137:{dir:d,HW:[[607,u,null,9131]],stretch:{top:[9131,u],ext:[9130,u],bot:[9129,u]}},9140:t,9141:t,9168:{dir:d,HW:[[800,v,null,124],[1350,v,1.688,124],[1827,v,2.283,124],[2303,v,2.879,124],[2780,v,3.474,124]],stretch:{ext:[124,v]}},9180:t,9181:t,9182:{dir:r,HW:[[520,v],[1018,m],[1519,l],[2019,k],[2519,i],[3019,g],[3519,f]],stretch:{left:[57613,f],rep:[57614,f],mid:[57615,f],right:[57616,f]}},9183:{dir:r,HW:[[520,v],[1018,m],[1519,l],[2019,k],[2519,i],[3019,g],[3519,f]],stretch:{left:[57617,f],rep:[57618,f],mid:[57619,f],right:[57620,f]}},9184:t,9185:t,9472:{alias:8722,dir:r},10145:t,10214:j,10215:j,10216:{dir:d,HW:[[812,v],[1060,m],[1382,l],[1806,k],[1827,k,1.012],[2364,i],[3092,g],[4048,f]]},10217:{dir:d,HW:[[812,v],[1060,m],[1382,l],[1806,k],[1827,k,1.012],[2364,i],[3092,g],[4048,f]]},10218:j,10219:j,10222:{dir:d,HW:[[814,v],[974,m],[1166,l],[1396,k],[1672,i],[2004,g],[2402,f]],stretch:{bot:[57601,f],ext:[57602,f],top:[57603,f]}},10223:{dir:d,HW:[[814,v],[974,m],[1166,l],[1396,k],[1672,i],[2004,g],[2402,f]],stretch:{bot:[57604,f],ext:[57605,f],top:[57606,f]}},10229:{alias:8592,dir:r},10230:{alias:8594,dir:r},10231:{alias:8596,dir:r},10232:{alias:8656,dir:r},10233:{alias:8658,dir:r},10234:{alias:8660,dir:r},10235:{alias:8612,dir:r},10236:{alias:8614,dir:r},10237:{alias:10502,dir:r},10238:{alias:10503,dir:r},10502:{dir:r,HW:[[870,w],[1190,m]],stretch:{left:[57541,f],rep:[57542,f],right:[57543,f]}},10503:{dir:r,HW:[[870,w],[1190,m]],stretch:{left:[57544,f],rep:[57545,f],right:[57546,f]}},10752:j,10753:j,10754:j,10755:j,10756:j,10757:j,10758:j,10761:j,10764:j,10769:j,11012:t,11013:t,11014:j,11015:j,11020:t,11021:j,11057:t,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:r},65080:{alias:9183,dir:r}}}});MathJax.Hub.Register.LoadHook(z.fontDir+"/Main/Regular/Main.js",function(){z.FONTDATA.FONTS[v][8722][0]=z.FONTDATA.FONTS[v][43][0];z.FONTDATA.FONTS[v][8722][1]=z.FONTDATA.FONTS[v][43][1]});MathJax.Hub.Register.LoadHook(z.fontDir+"/Size1/Regular/Main.js",function(){var G;for(G=8747;G<=8749;G++){z.FONTDATA.FONTS[m][G][2]-=200}for(G=8750;G<=8753;G++){z.FONTDATA.FONTS[m][G][2]-=150}});E.loadComplete(z.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js
index 382bfceb53..4d3e55c24f 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js
index eb379dae8e..c06138fbe5 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
index c055b81a0a..da208be8f5 100644
--- a/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js
index c9d2662857..31f85257ec 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js
index 4b8fdaea81..5f1de2371d 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js
index 1f35129934..88845e23a9 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js
index 982e090e9f..52fcf2e8a7 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js
index 9f96c58d1a..c9323adb91 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js
index dc44b2c089..19701d27bb 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js
index a5dba74414..51b5b5ac70 100644
--- a/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js
index 333f869d34..86eebcd565 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js
index 85c0430d14..e6802dfcd4 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js
index e351c1ff17..b3691b27e1 100644
--- a/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js
index 072341f871..8a46c7aa5f 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js
index d48d4f07f8..8184f31f21 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js
index 735ec765af..487be69556 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js
index d14bb46be2..cc35c79f8e 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js
index 4885c9fc67..a532bb4731 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js
index cd185d6e8e..14f20c77c8 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js
index b684272f17..212771638b 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js
index a3acc6f8ed..546564820f 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js
index 62da4a0978..b8b13a8dac 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js
index 27c8ba78d0..adadf307bd 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js b/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js
index 502733b565..2430452e14 100644
--- a/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js
+++ b/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js b/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js
index 8518269482..a542c1dc52 100644
--- a/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js
+++ b/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(y){var A="2.7.6";var p=y.FONTDATA.DELIMITERS;var q="H",d="V";var c="LatinModernMathJax_Alphabets",v="LatinModernMathJax_Arrows",x="LatinModernMathJax_DoubleStruck",B="LatinModernMathJax_Fraktur",h="LatinModernMathJax_Latin",u="LatinModernMathJax_Main",m="LatinModernMathJax_Marks",w="LatinModernMathJax_Misc",E="LatinModernMathJax_Monospace",z="LatinModernMathJax_NonUnicode",r="LatinModernMathJax_Normal",C="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",o="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",l="LatinModernMathJax_Size1",k="LatinModernMathJax_Size2",j="LatinModernMathJax_Size3",i="LatinModernMathJax_Size4",g="LatinModernMathJax_Size5",f="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",t="LatinModernMathJax_Symbols",n="LatinModernMathJax_Variants";var D={774:{dir:q,HW:[[374,u],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},785:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},812:{dir:q,HW:[[364,m],[644,l],[768,k],[919,j],[1100,i],[1320,g],[1581,f],[1896,e]]},813:{dir:q,HW:[[364,m],[644,l],[768,k],[919,j],[1100,i],[1320,g],[1581,f],[1896,e]]},814:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},815:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},816:{dir:q,HW:[[370,m],[652,l],[778,k],[931,j],[1115,i],[1335,g],[1599,f],[1915,e]]},819:{dir:q,HW:[[392,m],[568,l]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[392,m],[568,l]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[416,u],[547,l]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[470,m],[603,l]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[360,m],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[917,u],[1383,l]]},8599:{dir:d,HW:[[917,u],[1383,l]]},8600:{dir:d,HW:[[917,u],[1383,l]]},8601:{dir:d,HW:[[917,u],[1383,l]]},8602:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[905,u],[1351,l]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[902,v],[1348,l]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[905,u],[1351,l]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[902,v],[1348,l]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[1080,u],[1546,l]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[1080,u],[1546,l]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[862,v],[1328,l]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[862,v],[1328,l]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[884,u],[1330,l]]},8622:{dir:q,HW:[[884,u],[1330,l]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[858,u],[1168,l]]},8625:{dir:d,HW:[[858,u],[1168,l]]},8626:{dir:d,HW:[[858,v],[1168,l]]},8627:{dir:d,HW:[[858,v],[1168,l]]},8630:{dir:q,HW:[[868,u],[1218,l]]},8631:{dir:q,HW:[[868,u],[1218,l]]},8636:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[906,v],[1372,l]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[882,u],[1348,l]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[882,u],[1348,l]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[879,u],[1345,l]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[956,u],[1422,l]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[879,u],[1345,l]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[954,v],[1420,l]]},8663:{dir:d,HW:[[954,v],[1420,l]]},8664:{dir:d,HW:[[954,v],[1420,l]]},8665:{dir:d,HW:[[954,v],[1420,l]]},8666:{dir:q,HW:[[903,u],[1349,l]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[903,u],[1349,l]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[885,v],[1351,l]]},8669:{dir:q,HW:[[885,u],[1351,l]]},8678:{dir:q,HW:[[938,v],[1384,l]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[938,v],[1384,l]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[938,v],[1384,l]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[938,v],[1384,l]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[950,v],[1396,l]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[906,v],[1372,l]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[885,v],[1351,l]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1000,C],[1400,l]]},8720:{dir:d,HW:[[1000,C],[1400,l]]},8721:{dir:d,HW:[[1000,C],[1400,l]]},8747:{dir:d,HW:[[1111,u],[2222,l]]},8748:{dir:d,HW:[[1111,C],[2222,l]]},8749:{dir:d,HW:[[1111,C],[2222,l]]},8750:{dir:d,HW:[[1111,C],[2222,l]]},8751:{dir:d,HW:[[1111,C],[2222,l]]},8752:{dir:d,HW:[[1111,C],[2222,l]]},8753:{dir:d,HW:[[1111,C],[2222,l]]},8754:{dir:d,HW:[[1111,C],[2222,l]]},8755:{dir:d,HW:[[1111,C],[2222,l]]},8801:{dir:q,HW:[[666,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[666,C]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[684,u],[868,l]]},8867:{dir:d,HW:[[684,u],[868,l]]},8868:{dir:d,HW:[[684,u],[868,l]]},8869:{dir:d,HW:[[684,u],[868,l]]},8896:{dir:d,HW:[[1044,C],[1393,l]]},8897:{dir:d,HW:[[1044,C],[1393,l]]},8898:{dir:d,HW:[[1022,C],[1356,l]]},8899:{dir:d,HW:[[1022,C],[1356,l]]},9140:{dir:q,HW:[[360,u],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[360,u],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[504,u],[1006,l],[1508,k],[2012,j],[2516,i],[3020,g],[3524,f],[4032,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[504,u],[1006,l],[1508,k],[2012,j],[2516,i],[3020,g],[3524,f],[4032,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[546,u],[1048,l],[1550,k],[2056,j],[2564,i],[3068,g],[3574,f],[4082,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[546,u],[1048,l],[1550,k],[2056,j],[2564,i],[3068,g],[3574,f],[4082,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[865,w],[1311,l]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]]},10219:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]]},10752:{dir:d,HW:[[986,C],[1304,l]]},10753:{dir:d,HW:[[986,C],[1304,l]]},10754:{dir:d,HW:[[986,C],[1304,l]]},10755:{dir:d,HW:[[1022,C],[1356,l]]},10756:{dir:d,HW:[[1022,C],[1356,l]]},10757:{dir:d,HW:[[1028,C],[1372,l]]},10758:{dir:d,HW:[[1028,C],[1372,l]]},10761:{dir:d,HW:[[980,C],[1259,l]]},10764:{dir:d,HW:[[1111,C],[2222,l]]},10769:{dir:d,HW:[[1111,C],[2222,l]]},11012:{dir:q,HW:[[950,b],[1396,l]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[865,b],[1311,l]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[865,b],[1311,l]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[865,b],[1311,l]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[844,b],[1290,l]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[844,b],[1290,l]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[885,b],[1351,l]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in D){if(D.hasOwnProperty(s)){p[s]=D[s]}}MathJax.Ajax.loadComplete(y.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(y){var A="2.7.9";var p=y.FONTDATA.DELIMITERS;var q="H",d="V";var c="LatinModernMathJax_Alphabets",v="LatinModernMathJax_Arrows",x="LatinModernMathJax_DoubleStruck",B="LatinModernMathJax_Fraktur",h="LatinModernMathJax_Latin",u="LatinModernMathJax_Main",m="LatinModernMathJax_Marks",w="LatinModernMathJax_Misc",E="LatinModernMathJax_Monospace",z="LatinModernMathJax_NonUnicode",r="LatinModernMathJax_Normal",C="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",o="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",l="LatinModernMathJax_Size1",k="LatinModernMathJax_Size2",j="LatinModernMathJax_Size3",i="LatinModernMathJax_Size4",g="LatinModernMathJax_Size5",f="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",t="LatinModernMathJax_Symbols",n="LatinModernMathJax_Variants";var D={774:{dir:q,HW:[[374,u],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},785:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},812:{dir:q,HW:[[364,m],[644,l],[768,k],[919,j],[1100,i],[1320,g],[1581,f],[1896,e]]},813:{dir:q,HW:[[364,m],[644,l],[768,k],[919,j],[1100,i],[1320,g],[1581,f],[1896,e]]},814:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},815:{dir:q,HW:[[374,m],[658,l],[784,k],[937,j],[1120,i],[1341,g],[1604,f],[1920,e]]},816:{dir:q,HW:[[370,m],[652,l],[778,k],[931,j],[1115,i],[1335,g],[1599,f],[1915,e]]},819:{dir:q,HW:[[392,m],[568,l]],stretch:{left:[57592,e],rep:[57593,e],right:[57594,e]}},831:{dir:q,HW:[[392,m],[568,l]],stretch:{left:[57598,e],rep:[57599,e],right:[57600,e]}},8400:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57352,e],rep:[57353,e],right:[57354,e]}},8401:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57355,e],rep:[57356,e],right:[57357,e]}},8406:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57358,e],rep:[57359,e],right:[57360,e]}},8407:{dir:q,HW:[[416,u],[547,l]],stretch:{left:[57361,e],rep:[57362,e],right:[57363,e]}},8417:{dir:q,HW:[[470,m],[603,l]],stretch:{left:[57364,e],rep:[57365,e],right:[57366,e]}},8425:{dir:q,HW:[[360,m],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},8428:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57367,e],rep:[57368,e],right:[57369,e]}},8429:{dir:q,HW:[[422,m],[555,l]],stretch:{left:[57370,e],rep:[57371,e],right:[57372,e]}},8430:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57373,e],rep:[57374,e],right:[57375,e]}},8431:{dir:q,HW:[[416,m],[547,l]],stretch:{left:[57376,e],rep:[57377,e],right:[57378,e]}},8598:{dir:d,HW:[[917,u],[1383,l]]},8599:{dir:d,HW:[[917,u],[1383,l]]},8600:{dir:d,HW:[[917,u],[1383,l]]},8601:{dir:d,HW:[[917,u],[1383,l]]},8602:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57391,e],rep:[57392,e],mid:[57393,e],right:[57394,e]}},8603:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57395,e],rep:[57396,e],mid:[57397,e],right:[57398,e]}},8606:{dir:q,HW:[[905,u],[1351,l]],stretch:{left:[57409,e],rep:[57410,e],right:[57411,e]}},8607:{dir:d,HW:[[902,v],[1348,l]],stretch:{bot:[57415,e],ext:[57416,e],top:[57417,e]}},8608:{dir:q,HW:[[905,u],[1351,l]],stretch:{left:[57412,e],rep:[57413,e],right:[57414,e]}},8609:{dir:d,HW:[[902,v],[1348,l]],stretch:{bot:[57418,e],ext:[57419,e],top:[57420,e]}},8610:{dir:q,HW:[[1080,u],[1546,l]],stretch:{left:[57421,e],rep:[57422,e],right:[57423,e]}},8611:{dir:q,HW:[[1080,u],[1546,l]],stretch:{left:[57424,e],rep:[57425,e],right:[57426,e]}},8613:{dir:d,HW:[[862,v],[1328,l]],stretch:{bot:[57433,e],ext:[57434,e],top:[57435,e]}},8615:{dir:d,HW:[[862,v],[1328,l]],stretch:{bot:[57436,e],ext:[57437,e],top:[57438,e]}},8617:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57442,e],rep:[57443,e],right:[57444,e]}},8618:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57439,e],rep:[57440,e],right:[57441,e]}},8619:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57448,e],rep:[57449,e],right:[57450,e]}},8620:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57445,e],rep:[57446,e],right:[57447,e]}},8621:{dir:q,HW:[[884,u],[1330,l]]},8622:{dir:q,HW:[[884,u],[1330,l]],stretch:{left:[57405,e],rep:[57406,e],mid:[57407,e],right:[57408,e]}},8624:{dir:d,HW:[[858,u],[1168,l]]},8625:{dir:d,HW:[[858,u],[1168,l]]},8626:{dir:d,HW:[[858,v],[1168,l]]},8627:{dir:d,HW:[[858,v],[1168,l]]},8630:{dir:q,HW:[[868,u],[1218,l]]},8631:{dir:q,HW:[[868,u],[1218,l]]},8636:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57451,e],rep:[57452,e],right:[57453,e]}},8637:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57457,e],rep:[57458,e],right:[57459,e]}},8638:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57463,e],ext:[57464,e],top:[57465,e]}},8639:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57469,e],ext:[57470,e],top:[57471,e]}},8640:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57454,e],rep:[57455,e],right:[57456,e]}},8641:{dir:q,HW:[[900,u],[1366,l]],stretch:{left:[57460,e],rep:[57461,e],right:[57462,e]}},8642:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57466,e],ext:[57467,e],top:[57468,e]}},8643:{dir:d,HW:[[900,u],[1366,l]],stretch:{bot:[57472,e],ext:[57473,e],top:[57474,e]}},8644:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57475,e],rep:[57476,e],right:[57477,e]}},8645:{dir:d,HW:[[906,v],[1372,l]],stretch:{bot:[57481,e],ext:[57482,e],top:[57483,e]}},8646:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57478,e],rep:[57479,e],right:[57480,e]}},8647:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57487,e],rep:[57488,e],right:[57489,e]}},8648:{dir:d,HW:[[882,u],[1348,l]],stretch:{bot:[57493,e],ext:[57494,e],top:[57495,e]}},8649:{dir:q,HW:[[885,u],[1351,l]],stretch:{left:[57490,e],rep:[57491,e],right:[57492,e]}},8650:{dir:d,HW:[[882,u],[1348,l]],stretch:{bot:[57496,e],ext:[57497,e],top:[57498,e]}},8651:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57505,e],rep:[57506,e],right:[57507,e]}},8652:{dir:q,HW:[[906,u],[1372,l]],stretch:{left:[57508,e],rep:[57509,e],right:[57510,e]}},8653:{dir:q,HW:[[879,u],[1345,l]],stretch:{left:[57529,e],rep:[57530,e],mid:[57531,e],right:[57532,e]}},8654:{dir:q,HW:[[956,u],[1422,l]],stretch:{left:[57537,e],rep:[57538,e],mid:[57539,e],right:[57540,e]}},8655:{dir:q,HW:[[879,u],[1345,l]],stretch:{left:[57533,e],rep:[57534,e],mid:[57535,e],right:[57536,e]}},8662:{dir:d,HW:[[954,v],[1420,l]]},8663:{dir:d,HW:[[954,v],[1420,l]]},8664:{dir:d,HW:[[954,v],[1420,l]]},8665:{dir:d,HW:[[954,v],[1420,l]]},8666:{dir:q,HW:[[903,u],[1349,l]],stretch:{left:[57547,e],rep:[57548,e],right:[57549,e]}},8667:{dir:q,HW:[[903,u],[1349,l]],stretch:{left:[57550,e],rep:[57551,e],right:[57552,e]}},8668:{dir:q,HW:[[885,v],[1351,l]]},8669:{dir:q,HW:[[885,u],[1351,l]]},8678:{dir:q,HW:[[938,v],[1384,l]],stretch:{left:[57553,e],rep:[57554,e],right:[57555,e]}},8679:{dir:d,HW:[[938,v],[1384,l]],stretch:{bot:[57559,e],ext:[57560,e],top:[57561,e]}},8680:{dir:q,HW:[[938,v],[1384,l]],stretch:{left:[57556,e],rep:[57557,e],right:[57558,e]}},8681:{dir:d,HW:[[938,v],[1384,l]],stretch:{bot:[57562,e],ext:[57563,e],top:[57564,e]}},8691:{dir:d,HW:[[950,v],[1396,l]],stretch:{bot:[57565,e],ext:[57566,e],top:[57567,e]}},8693:{dir:d,HW:[[906,v],[1372,l]],stretch:{bot:[57484,e],ext:[57485,e],top:[57486,e]}},8694:{dir:q,HW:[[885,v],[1351,l]],stretch:{left:[57499,e],rep:[57500,e],right:[57501,e]}},8719:{dir:d,HW:[[1000,C],[1400,l]]},8720:{dir:d,HW:[[1000,C],[1400,l]]},8721:{dir:d,HW:[[1000,C],[1400,l]]},8747:{dir:d,HW:[[1111,u],[2222,l]]},8748:{dir:d,HW:[[1111,C],[2222,l]]},8749:{dir:d,HW:[[1111,C],[2222,l]]},8750:{dir:d,HW:[[1111,C],[2222,l]]},8751:{dir:d,HW:[[1111,C],[2222,l]]},8752:{dir:d,HW:[[1111,C],[2222,l]]},8753:{dir:d,HW:[[1111,C],[2222,l]]},8754:{dir:d,HW:[[1111,C],[2222,l]]},8755:{dir:d,HW:[[1111,C],[2222,l]]},8801:{dir:q,HW:[[666,u]],stretch:{left:[57645,e],rep:[57646,e],right:[57647,e]}},8803:{dir:q,HW:[[666,C]],stretch:{left:[57648,e],rep:[57649,e],right:[57650,e]}},8866:{dir:d,HW:[[684,u],[868,l]]},8867:{dir:d,HW:[[684,u],[868,l]]},8868:{dir:d,HW:[[684,u],[868,l]]},8869:{dir:d,HW:[[684,u],[868,l]]},8896:{dir:d,HW:[[1044,C],[1393,l]]},8897:{dir:d,HW:[[1044,C],[1393,l]]},8898:{dir:d,HW:[[1022,C],[1356,l]]},8899:{dir:d,HW:[[1022,C],[1356,l]]},9140:{dir:q,HW:[[360,u],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57627,e],rep:[57628,e],right:[57629,e]}},9141:{dir:q,HW:[[360,u],[735,l],[1110,k],[1485,j],[1860,i],[2235,g],[2610,f],[2985,e]],stretch:{left:[57630,e],rep:[57631,e],right:[57632,e]}},9180:{dir:q,HW:[[504,u],[1006,l],[1508,k],[2012,j],[2516,i],[3020,g],[3524,f],[4032,e]],stretch:{left:[57621,e],rep:[57622,e],right:[57623,e]}},9181:{dir:q,HW:[[504,u],[1006,l],[1508,k],[2012,j],[2516,i],[3020,g],[3524,f],[4032,e]],stretch:{left:[57624,e],rep:[57625,e],right:[57626,e]}},9184:{dir:q,HW:[[546,u],[1048,l],[1550,k],[2056,j],[2564,i],[3068,g],[3574,f],[4082,e]],stretch:{left:[57633,e],rep:[57634,e],right:[57635,e]}},9185:{dir:q,HW:[[546,u],[1048,l],[1550,k],[2056,j],[2564,i],[3068,g],[3574,f],[4082,e]],stretch:{left:[57636,e],rep:[57637,e],right:[57638,e]}},10145:{dir:q,HW:[[865,w],[1311,l]],stretch:{left:[57574,e],rep:[57575,e],right:[57576,e]}},10214:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]],stretch:{bot:[57607,e],ext:[57608,e],top:[57609,e]}},10215:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]],stretch:{bot:[57610,e],ext:[57611,e],top:[57612,e]}},10218:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]]},10219:{dir:d,HW:[[1000,t],[1100,l],[1200,k],[1450,j],[1800,i],[2100,g],[2400,f],[3000,e]]},10752:{dir:d,HW:[[986,C],[1304,l]]},10753:{dir:d,HW:[[986,C],[1304,l]]},10754:{dir:d,HW:[[986,C],[1304,l]]},10755:{dir:d,HW:[[1022,C],[1356,l]]},10756:{dir:d,HW:[[1022,C],[1356,l]]},10757:{dir:d,HW:[[1028,C],[1372,l]]},10758:{dir:d,HW:[[1028,C],[1372,l]]},10761:{dir:d,HW:[[980,C],[1259,l]]},10764:{dir:d,HW:[[1111,C],[2222,l]]},10769:{dir:d,HW:[[1111,C],[2222,l]]},11012:{dir:q,HW:[[950,b],[1396,l]],stretch:{left:[57568,e],rep:[57569,e],right:[57570,e]}},11013:{dir:q,HW:[[865,b],[1311,l]],stretch:{left:[57571,e],rep:[57572,e],right:[57573,e]}},11014:{dir:d,HW:[[865,b],[1311,l]],stretch:{bot:[57577,e],ext:[57578,e],top:[57579,e]}},11015:{dir:d,HW:[[865,b],[1311,l]],stretch:{bot:[57580,e],ext:[57581,e],top:[57582,e]}},11020:{dir:q,HW:[[844,b],[1290,l]],stretch:{left:[57583,e],rep:[57584,e],right:[57585,e]}},11021:{dir:d,HW:[[844,b],[1290,l]],stretch:{bot:[57586,e],ext:[57587,e],top:[57588,e]}},11057:{dir:q,HW:[[885,b],[1351,l]],stretch:{left:[57502,e],rep:[57503,e],right:[57504,e]}}};for(var s in D){if(D.hasOwnProperty(s)){p[s]=D[s]}}MathJax.Ajax.loadComplete(y.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/Latin-Modern/fontdata.js b/jax/output/SVG/fonts/Latin-Modern/fontdata.js
index bcf087bf03..208cb1ad08 100644
--- a/jax/output/SVG/fonts/Latin-Modern/fontdata.js
+++ b/jax/output/SVG/fonts/Latin-Modern/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Latin-Modern/fontdata.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Latin-Modern/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(A,f,F,p){var C="2.7.6";var c="LatinModernMathJax_Alphabets",x="LatinModernMathJax_Arrows",z="LatinModernMathJax_DoubleStruck",D="LatinModernMathJax_Fraktur",i="LatinModernMathJax_Latin",w="LatinModernMathJax_Main",o="LatinModernMathJax_Marks",y="LatinModernMathJax_Misc",G="LatinModernMathJax_Monospace",B="LatinModernMathJax_NonUnicode",t="LatinModernMathJax_Normal",E="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",r="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",n="LatinModernMathJax_Size1",m="LatinModernMathJax_Size2",l="LatinModernMathJax_Size3",j="LatinModernMathJax_Size4",h="LatinModernMathJax_Size5",g="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",v="LatinModernMathJax_Symbols",q="LatinModernMathJax_Variants";var s="H",d="V",u={load:"extra",dir:s},k={load:"extra",dir:d};A.Augment({FONTDATA:{version:C,baselineskip:1200,lineH:800,lineD:200,FONTS:{LatinModernMathJax_Alphabets:"Alphabets/Regular/Main.js",LatinModernMathJax_Arrows:"Arrows/Regular/Main.js",LatinModernMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",LatinModernMathJax_Fraktur:"Fraktur/Regular/Main.js",LatinModernMathJax_Latin:"Latin/Regular/Main.js",LatinModernMathJax_Main:"Main/Regular/Main.js",LatinModernMathJax_Marks:"Marks/Regular/Main.js",LatinModernMathJax_Misc:"Misc/Regular/Main.js",LatinModernMathJax_Monospace:"Monospace/Regular/Main.js",LatinModernMathJax_NonUnicode:"NonUnicode/Regular/Main.js",LatinModernMathJax_Normal:"Normal/Regular/Main.js",LatinModernMathJax_Operators:"Operators/Regular/Main.js",LatinModernMathJax_SansSerif:"SansSerif/Regular/Main.js",LatinModernMathJax_Script:"Script/Regular/Main.js",LatinModernMathJax_Shapes:"Shapes/Regular/Main.js",LatinModernMathJax_Size1:"Size1/Regular/Main.js",LatinModernMathJax_Size2:"Size2/Regular/Main.js",LatinModernMathJax_Size3:"Size3/Regular/Main.js",LatinModernMathJax_Size4:"Size4/Regular/Main.js",LatinModernMathJax_Size5:"Size5/Regular/Main.js",LatinModernMathJax_Size6:"Size6/Regular/Main.js",LatinModernMathJax_Size7:"Size7/Regular/Main.js",LatinModernMathJax_Symbols:"Symbols/Regular/Main.js",LatinModernMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n]},bold:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[z],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[D],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[D],bold:true,offsetA:120172},script:{fonts:[r],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[r],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[G],offsetA:120432,offsetN:120822},"-Latin-Modern-variant":{fonts:[q,w,t,G,i,c,o,x,E,v,b,y,B,n]},"-tex-caligraphic":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true},"-tex-oldstyle":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n]},"-tex-caligraphic-bold":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true},"-tex-mathit":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,noIC:true},"-largeOp":{fonts:[n,w]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[996,w],[1094,n],[1194,m],[1444,l],[1792,j],[2092,h],[2392,g],[2990,e]],stretch:{bot:[9117,v],ext:[9116,v],top:[9115,v]}},41:{dir:d,HW:[[996,w],[1094,n],[1194,m],[1444,l],[1792,j],[2092,h],[2392,g],[2990,e]],stretch:{bot:[9120,v],ext:[9119,v],top:[9118,v]}},45:{alias:8722,dir:s},47:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[1771,m,1.032],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},61:{dir:s,HW:[[666,w]],stretch:{left:[57344,e],rep:[57345,e],right:[57346,e]}},91:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9123,v],ext:[9122,v],top:[9121,v]}},92:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[1771,m,1.032],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},93:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9126,v],ext:[9125,v],top:[9124,v]}},94:{alias:770,dir:s},95:{alias:818,dir:s},123:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9129,v],ext:[57347,e],mid:[9128,v],top:[9127,v]}},124:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},125:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9133,v],ext:[57351,e],mid:[9132,v],top:[9131,v]}},126:{alias:771,dir:s},175:{alias:818,dir:s},710:{alias:770,dir:s},713:{alias:8722,dir:s},732:{alias:771,dir:s},770:{dir:s,HW:[[364,w],[644,n],[768,m],[919,l],[1100,j],[1320,h],[1581,g],[1896,e]]},771:{dir:s,HW:[[370,w],[652,n],[778,m],[931,l],[1115,j],[1335,h],[1599,g],[1915,e]]},8722:{HW:[],stretch:{rep:[8722,w,0,0,0,-0.31,-0.31]}},774:u,780:{dir:s,HW:[[364,w],[644,n],[768,m],[919,l],[1100,j],[1320,h],[1581,g],[1896,e]]},785:u,812:u,813:u,814:u,815:u,816:u,818:{dir:s,HW:[[392,o],[568,n]],stretch:{left:[57589,e],rep:[57590,e],right:[57591,e]}},819:u,831:u,8213:{alias:8722,dir:s},8214:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8215:{alias:8722,dir:s},8254:{alias:8722,dir:s},8260:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},8400:u,8401:u,8406:u,8407:u,8417:u,8425:u,8428:u,8429:u,8430:u,8431:u,8592:{dir:s,HW:[[885,w],[1351,n]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},8593:{dir:d,HW:[[882,w],[1348,n]],stretch:{bot:[57385,e],ext:[57386,e],top:[57387,e]}},8594:{dir:s,HW:[[885,w],[1351,n]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},8595:{dir:d,HW:[[882,w],[1348,n]],stretch:{bot:[57388,e],ext:[57389,e],top:[57390,e]}},8596:{dir:s,HW:[[884,w],[1330,n]],stretch:{left:[57399,e],rep:[57400,e],right:[57401,e]}},8597:{dir:d,HW:[[1014,w],[1014,n]],stretch:{bot:[57402,e],ext:[57403,e],top:[57404,e]}},8598:k,8599:k,8600:k,8601:k,8602:u,8603:u,8606:u,8607:k,8608:u,8609:k,8610:u,8611:u,8612:{dir:s,HW:[[865,x],[1331,n]],stretch:{left:[57427,e],rep:[57428,e],right:[57429,e]}},8613:k,8614:{dir:s,HW:[[865,w],[1331,n]],stretch:{left:[57430,e],rep:[57431,e],right:[57432,e]}},8615:k,8617:u,8618:u,8619:u,8620:u,8621:u,8622:u,8624:k,8625:k,8626:k,8627:k,8630:u,8631:u,8636:u,8637:u,8638:k,8639:k,8640:u,8641:u,8642:k,8643:k,8644:u,8645:k,8646:u,8647:u,8648:k,8649:u,8650:k,8651:u,8652:u,8653:u,8654:u,8655:u,8656:{dir:s,HW:[[879,w],[1345,n]],stretch:{left:[57511,e],rep:[57512,e],right:[57513,e]}},8657:{dir:d,HW:[[879,w],[1345,n]],stretch:{bot:[57517,e],ext:[57518,e],top:[57519,e]}},8658:{dir:s,HW:[[879,w],[1345,n]],stretch:{left:[57514,e],rep:[57515,e],right:[57516,e]}},8659:{dir:d,HW:[[879,w],[1345,n]],stretch:{bot:[57520,e],ext:[57521,e],top:[57522,e]}},8660:{dir:s,HW:[[956,w],[1422,n]],stretch:{left:[57523,e],rep:[57524,e],right:[57525,e]}},8661:{dir:d,HW:[[956,w],[1422,n]],stretch:{bot:[57526,e],ext:[57527,e],top:[57528,e]}},8662:k,8663:k,8664:k,8665:k,8666:u,8667:u,8668:u,8669:u,8678:u,8679:k,8680:u,8681:k,8691:k,8693:k,8694:u,8719:k,8720:k,8721:k,8722:{dir:s,HW:[[666,w]],stretch:{left:[57639,e],rep:[57640,e],right:[57641,e]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1000,w],[1200,n],[1800,m],[2400,l],[3000,j]],stretch:{bot:[9143,v],ext:[57651,e],top:[57652,e]}},8739:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},8741:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8747:k,8748:k,8749:k,8750:k,8751:k,8752:k,8753:k,8754:k,8755:k,8801:u,8803:u,8866:k,8867:k,8868:k,8869:k,8896:k,8897:k,8898:k,8899:k,8968:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{ext:[9122,v],top:[9121,v]}},8969:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{ext:[9125,v],top:[9124,v]}},8970:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9123,v],ext:[9122,v]}},8971:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9126,v],ext:[9125,v]}},8978:{alias:9180,dir:s},8994:{alias:9180,dir:s},8995:{alias:9181,dir:s},9001:{dir:d,HW:[[1000,v],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},9002:{dir:d,HW:[[1000,v],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},9130:{dir:d,HW:[[748,v]],stretch:{ext:[9130,v]}},9135:{alias:8722,dir:s},9136:{dir:d,HW:[[750,v,null,9127]],stretch:{top:[9127,v],ext:[9130,v],bot:[9133,v]}},9137:{dir:d,HW:[[750,v,null,9131]],stretch:{top:[9131,v],ext:[9130,v],bot:[9129,v]}},9140:u,9141:u,9168:{dir:d,HW:[[1000,w,null,124],[1309,w,1.309,124],[1771,w,1.771,124],[2233,w,2.233,124],[2695,w,2.695,124]],stretch:{ext:[124,w]}},9180:u,9181:u,9182:{dir:s,HW:[[492,w],[993,n],[1494,m],[1996,l],[2498,j],[3000,h],[3502,g],[4006,e]],stretch:{left:[57613,e],rep:[57614,e],mid:[57615,e],right:[57616,e]}},9183:{dir:s,HW:[[492,w],[993,n],[1494,m],[1996,l],[2498,j],[3000,h],[3502,g],[4006,e]],stretch:{left:[57617,e],rep:[57618,e],mid:[57619,e],right:[57620,e]}},9184:u,9185:u,9472:{alias:8722,dir:s},10145:u,10214:k,10215:k,10216:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},10217:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},10218:k,10219:k,10222:{dir:d,HW:[[1024,w],[1126,n],[1228,m],[1482,l],[1836,j],[2140,h],[2444,g],[3052,e]],stretch:{bot:[57601,e],ext:[57602,e],top:[57603,e]}},10223:{dir:d,HW:[[1024,w],[1126,n],[1228,m],[1482,l],[1836,j],[2140,h],[2444,g],[3052,e]],stretch:{bot:[57604,e],ext:[57605,e],top:[57606,e]}},10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:{dir:s,HW:[[879,x],[1325,n]],stretch:{left:[57541,e],rep:[57542,e],right:[57543,e]}},10503:{dir:s,HW:[[879,x],[1325,n]],stretch:{left:[57544,e],rep:[57545,e],right:[57546,e]}},10752:k,10753:k,10754:k,10755:k,10756:k,10757:k,10758:k,10761:k,10764:k,10769:k,11012:u,11013:u,11014:k,11015:k,11020:u,11021:k,11057:u,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(A.fontDir+"/Main/Regular/Main.js",function(){A.FONTDATA.FONTS[w][8722][0]=A.FONTDATA.FONTS[w][43][0];A.FONTDATA.FONTS[w][8722][1]=A.FONTDATA.FONTS[w][43][1]});MathJax.Hub.Register.LoadHook(A.fontDir+"/Size7/Regular/Main.js",function(){var H;H=A.FONTDATA.DELIMITERS[9182].stretch.rep[0];A.FONTDATA.FONTS[e][H][0]+=200;A.FONTDATA.FONTS[e][H][1]+=200;H=A.FONTDATA.DELIMITERS[9183].stretch.rep[0];A.FONTDATA.FONTS[e][H][0]+=200;A.FONTDATA.FONTS[e][H][1]+=200});MathJax.Hub.Register.LoadHook(A.fontDir+"/Size1/Regular/Main.js",function(){A.FONTDATA.FONTS[n][8747][2]-=425;A.FONTDATA.FONTS[n][8748][2]-=425;A.FONTDATA.FONTS[n][8749][2]-=425;A.FONTDATA.FONTS[n][8750][2]-=425;A.FONTDATA.FONTS[n][8751][2]-=425;A.FONTDATA.FONTS[n][8752][2]-=425;A.FONTDATA.FONTS[n][8753][2]-=425;A.FONTDATA.FONTS[n][8754][2]-=425;A.FONTDATA.FONTS[n][8755][2]-=425;A.FONTDATA.FONTS[n][10764][2]-=425;A.FONTDATA.FONTS[n][10769][2]-=425});F.loadComplete(A.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(A,f,F,p){var C="2.7.9";var c="LatinModernMathJax_Alphabets",x="LatinModernMathJax_Arrows",z="LatinModernMathJax_DoubleStruck",D="LatinModernMathJax_Fraktur",i="LatinModernMathJax_Latin",w="LatinModernMathJax_Main",o="LatinModernMathJax_Marks",y="LatinModernMathJax_Misc",G="LatinModernMathJax_Monospace",B="LatinModernMathJax_NonUnicode",t="LatinModernMathJax_Normal",E="LatinModernMathJax_Operators",a="LatinModernMathJax_SansSerif",r="LatinModernMathJax_Script",b="LatinModernMathJax_Shapes",n="LatinModernMathJax_Size1",m="LatinModernMathJax_Size2",l="LatinModernMathJax_Size3",j="LatinModernMathJax_Size4",h="LatinModernMathJax_Size5",g="LatinModernMathJax_Size6",e="LatinModernMathJax_Size7",v="LatinModernMathJax_Symbols",q="LatinModernMathJax_Variants";var s="H",d="V",u={load:"extra",dir:s},k={load:"extra",dir:d};A.Augment({FONTDATA:{version:C,baselineskip:1200,lineH:800,lineD:200,FONTS:{LatinModernMathJax_Alphabets:"Alphabets/Regular/Main.js",LatinModernMathJax_Arrows:"Arrows/Regular/Main.js",LatinModernMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js",LatinModernMathJax_Fraktur:"Fraktur/Regular/Main.js",LatinModernMathJax_Latin:"Latin/Regular/Main.js",LatinModernMathJax_Main:"Main/Regular/Main.js",LatinModernMathJax_Marks:"Marks/Regular/Main.js",LatinModernMathJax_Misc:"Misc/Regular/Main.js",LatinModernMathJax_Monospace:"Monospace/Regular/Main.js",LatinModernMathJax_NonUnicode:"NonUnicode/Regular/Main.js",LatinModernMathJax_Normal:"Normal/Regular/Main.js",LatinModernMathJax_Operators:"Operators/Regular/Main.js",LatinModernMathJax_SansSerif:"SansSerif/Regular/Main.js",LatinModernMathJax_Script:"Script/Regular/Main.js",LatinModernMathJax_Shapes:"Shapes/Regular/Main.js",LatinModernMathJax_Size1:"Size1/Regular/Main.js",LatinModernMathJax_Size2:"Size2/Regular/Main.js",LatinModernMathJax_Size3:"Size3/Regular/Main.js",LatinModernMathJax_Size4:"Size4/Regular/Main.js",LatinModernMathJax_Size5:"Size5/Regular/Main.js",LatinModernMathJax_Size6:"Size6/Regular/Main.js",LatinModernMathJax_Size7:"Size7/Regular/Main.js",LatinModernMathJax_Symbols:"Symbols/Regular/Main.js",LatinModernMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n]},bold:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,offsetA:119860,offsetG:120546,remap:{119893:8462}},"bold-italic":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true,italic:true,offsetA:119912,offsetG:120604},"double-struck":{fonts:[z],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[D],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[D],bold:true,offsetA:120172},script:{fonts:[r],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[r],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[G],offsetA:120432,offsetN:120822},"-Latin-Modern-variant":{fonts:[q,w,t,G,i,c,o,x,E,v,b,y,B,n]},"-tex-caligraphic":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true},"-tex-oldstyle":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n]},"-tex-caligraphic-bold":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],bold:true},"-tex-mathit":{fonts:[w,t,G,i,c,o,x,E,v,b,y,q,B,n],italic:true,noIC:true},"-largeOp":{fonts:[n,w]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,9666:9664,12296:10216,12297:10217,10072:8739,9656:9654,978:933,9652:9650,9653:9651,65079:9182,65080:9183,697:8242,9723:9633,9724:9632,9662:9660,8254:773,9663:9661},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[996,w],[1094,n],[1194,m],[1444,l],[1792,j],[2092,h],[2392,g],[2990,e]],stretch:{bot:[9117,v],ext:[9116,v],top:[9115,v]}},41:{dir:d,HW:[[996,w],[1094,n],[1194,m],[1444,l],[1792,j],[2092,h],[2392,g],[2990,e]],stretch:{bot:[9120,v],ext:[9119,v],top:[9118,v]}},45:{alias:8722,dir:s},47:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[1771,m,1.032],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},61:{dir:s,HW:[[666,w]],stretch:{left:[57344,e],rep:[57345,e],right:[57346,e]}},91:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9123,v],ext:[9122,v],top:[9121,v]}},92:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[1771,m,1.032],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},93:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9126,v],ext:[9125,v],top:[9124,v]}},94:{alias:770,dir:s},95:{alias:818,dir:s},123:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9129,v],ext:[57347,e],mid:[9128,v],top:[9127,v]}},124:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},125:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9133,v],ext:[57351,e],mid:[9132,v],top:[9131,v]}},126:{alias:771,dir:s},175:{alias:818,dir:s},710:{alias:770,dir:s},713:{alias:8722,dir:s},732:{alias:771,dir:s},770:{dir:s,HW:[[364,w],[644,n],[768,m],[919,l],[1100,j],[1320,h],[1581,g],[1896,e]]},771:{dir:s,HW:[[370,w],[652,n],[778,m],[931,l],[1115,j],[1335,h],[1599,g],[1915,e]]},8722:{HW:[],stretch:{rep:[8722,w,0,0,0,-0.31,-0.31]}},774:u,780:{dir:s,HW:[[364,w],[644,n],[768,m],[919,l],[1100,j],[1320,h],[1581,g],[1896,e]]},785:u,812:u,813:u,814:u,815:u,816:u,818:{dir:s,HW:[[392,o],[568,n]],stretch:{left:[57589,e],rep:[57590,e],right:[57591,e]}},819:u,831:u,8213:{alias:8722,dir:s},8214:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8215:{alias:8722,dir:s},8254:{alias:8722,dir:s},8260:{dir:d,HW:[[1000,w],[1310,n],[1716,m],[2248,l],[2944,j],[3858,h],[5054,g],[6620,e]]},8400:u,8401:u,8406:u,8407:u,8417:u,8425:u,8428:u,8429:u,8430:u,8431:u,8592:{dir:s,HW:[[885,w],[1351,n]],stretch:{left:[57379,e],rep:[57380,e],right:[57381,e]}},8593:{dir:d,HW:[[882,w],[1348,n]],stretch:{bot:[57385,e],ext:[57386,e],top:[57387,e]}},8594:{dir:s,HW:[[885,w],[1351,n]],stretch:{left:[57382,e],rep:[57383,e],right:[57384,e]}},8595:{dir:d,HW:[[882,w],[1348,n]],stretch:{bot:[57388,e],ext:[57389,e],top:[57390,e]}},8596:{dir:s,HW:[[884,w],[1330,n]],stretch:{left:[57399,e],rep:[57400,e],right:[57401,e]}},8597:{dir:d,HW:[[1014,w],[1014,n]],stretch:{bot:[57402,e],ext:[57403,e],top:[57404,e]}},8598:k,8599:k,8600:k,8601:k,8602:u,8603:u,8606:u,8607:k,8608:u,8609:k,8610:u,8611:u,8612:{dir:s,HW:[[865,x],[1331,n]],stretch:{left:[57427,e],rep:[57428,e],right:[57429,e]}},8613:k,8614:{dir:s,HW:[[865,w],[1331,n]],stretch:{left:[57430,e],rep:[57431,e],right:[57432,e]}},8615:k,8617:u,8618:u,8619:u,8620:u,8621:u,8622:u,8624:k,8625:k,8626:k,8627:k,8630:u,8631:u,8636:u,8637:u,8638:k,8639:k,8640:u,8641:u,8642:k,8643:k,8644:u,8645:k,8646:u,8647:u,8648:k,8649:u,8650:k,8651:u,8652:u,8653:u,8654:u,8655:u,8656:{dir:s,HW:[[879,w],[1345,n]],stretch:{left:[57511,e],rep:[57512,e],right:[57513,e]}},8657:{dir:d,HW:[[879,w],[1345,n]],stretch:{bot:[57517,e],ext:[57518,e],top:[57519,e]}},8658:{dir:s,HW:[[879,w],[1345,n]],stretch:{left:[57514,e],rep:[57515,e],right:[57516,e]}},8659:{dir:d,HW:[[879,w],[1345,n]],stretch:{bot:[57520,e],ext:[57521,e],top:[57522,e]}},8660:{dir:s,HW:[[956,w],[1422,n]],stretch:{left:[57523,e],rep:[57524,e],right:[57525,e]}},8661:{dir:d,HW:[[956,w],[1422,n]],stretch:{bot:[57526,e],ext:[57527,e],top:[57528,e]}},8662:k,8663:k,8664:k,8665:k,8666:u,8667:u,8668:u,8669:u,8678:u,8679:k,8680:u,8681:k,8691:k,8693:k,8694:u,8719:k,8720:k,8721:k,8722:{dir:s,HW:[[666,w]],stretch:{left:[57639,e],rep:[57640,e],right:[57641,e]}},8725:{alias:8260,dir:d},8730:{dir:d,HW:[[1000,w],[1200,n],[1800,m],[2400,l],[3000,j]],stretch:{bot:[9143,v],ext:[57651,e],top:[57652,e]}},8739:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57348,e],ext:[57349,e],top:[57350,e]}},8741:{dir:d,HW:[[1000,w],[1202,n],[1444,m],[1734,l],[2084,j],[2502,h],[3004,g],[3606,e]],stretch:{bot:[57642,e],ext:[57643,e],top:[57644,e]}},8747:k,8748:k,8749:k,8750:k,8751:k,8752:k,8753:k,8754:k,8755:k,8801:u,8803:u,8866:k,8867:k,8868:k,8869:k,8896:k,8897:k,8898:k,8899:k,8968:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{ext:[9122,v],top:[9121,v]}},8969:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{ext:[9125,v],top:[9124,v]}},8970:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9123,v],ext:[9122,v]}},8971:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]],stretch:{bot:[9126,v],ext:[9125,v]}},8978:{alias:9180,dir:s},8994:{alias:9180,dir:s},8995:{alias:9181,dir:s},9001:{dir:d,HW:[[1000,v],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},9002:{dir:d,HW:[[1000,v],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},9130:{dir:d,HW:[[748,v]],stretch:{ext:[9130,v]}},9135:{alias:8722,dir:s},9136:{dir:d,HW:[[750,v,null,9127]],stretch:{top:[9127,v],ext:[9130,v],bot:[9133,v]}},9137:{dir:d,HW:[[750,v,null,9131]],stretch:{top:[9131,v],ext:[9130,v],bot:[9129,v]}},9140:u,9141:u,9168:{dir:d,HW:[[1000,w,null,124],[1309,w,1.309,124],[1771,w,1.771,124],[2233,w,2.233,124],[2695,w,2.695,124]],stretch:{ext:[124,w]}},9180:u,9181:u,9182:{dir:s,HW:[[492,w],[993,n],[1494,m],[1996,l],[2498,j],[3000,h],[3502,g],[4006,e]],stretch:{left:[57613,e],rep:[57614,e],mid:[57615,e],right:[57616,e]}},9183:{dir:s,HW:[[492,w],[993,n],[1494,m],[1996,l],[2498,j],[3000,h],[3502,g],[4006,e]],stretch:{left:[57617,e],rep:[57618,e],mid:[57619,e],right:[57620,e]}},9184:u,9185:u,9472:{alias:8722,dir:s},10145:u,10214:k,10215:k,10216:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},10217:{dir:d,HW:[[1000,w],[1100,n],[1200,m],[1450,l],[1800,j],[2100,h],[2400,g],[3000,e]]},10218:k,10219:k,10222:{dir:d,HW:[[1024,w],[1126,n],[1228,m],[1482,l],[1836,j],[2140,h],[2444,g],[3052,e]],stretch:{bot:[57601,e],ext:[57602,e],top:[57603,e]}},10223:{dir:d,HW:[[1024,w],[1126,n],[1228,m],[1482,l],[1836,j],[2140,h],[2444,g],[3052,e]],stretch:{bot:[57604,e],ext:[57605,e],top:[57606,e]}},10229:{alias:8592,dir:s},10230:{alias:8594,dir:s},10231:{alias:8596,dir:s},10232:{alias:8656,dir:s},10233:{alias:8658,dir:s},10234:{alias:8660,dir:s},10235:{alias:8612,dir:s},10236:{alias:8614,dir:s},10237:{alias:10502,dir:s},10238:{alias:10503,dir:s},10502:{dir:s,HW:[[879,x],[1325,n]],stretch:{left:[57541,e],rep:[57542,e],right:[57543,e]}},10503:{dir:s,HW:[[879,x],[1325,n]],stretch:{left:[57544,e],rep:[57545,e],right:[57546,e]}},10752:k,10753:k,10754:k,10755:k,10756:k,10757:k,10758:k,10761:k,10764:k,10769:k,11012:u,11013:u,11014:k,11015:k,11020:u,11021:k,11057:u,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:s},65080:{alias:9183,dir:s}}}});MathJax.Hub.Register.LoadHook(A.fontDir+"/Main/Regular/Main.js",function(){A.FONTDATA.FONTS[w][8722][0]=A.FONTDATA.FONTS[w][43][0];A.FONTDATA.FONTS[w][8722][1]=A.FONTDATA.FONTS[w][43][1]});MathJax.Hub.Register.LoadHook(A.fontDir+"/Size7/Regular/Main.js",function(){var H;H=A.FONTDATA.DELIMITERS[9182].stretch.rep[0];A.FONTDATA.FONTS[e][H][0]+=200;A.FONTDATA.FONTS[e][H][1]+=200;H=A.FONTDATA.DELIMITERS[9183].stretch.rep[0];A.FONTDATA.FONTS[e][H][0]+=200;A.FONTDATA.FONTS[e][H][1]+=200});MathJax.Hub.Register.LoadHook(A.fontDir+"/Size1/Regular/Main.js",function(){A.FONTDATA.FONTS[n][8747][2]-=425;A.FONTDATA.FONTS[n][8748][2]-=425;A.FONTDATA.FONTS[n][8749][2]-=425;A.FONTDATA.FONTS[n][8750][2]-=425;A.FONTDATA.FONTS[n][8751][2]-=425;A.FONTDATA.FONTS[n][8752][2]-=425;A.FONTDATA.FONTS[n][8753][2]-=425;A.FONTDATA.FONTS[n][8754][2]-=425;A.FONTDATA.FONTS[n][8755][2]-=425;A.FONTDATA.FONTS[n][10764][2]-=425;A.FONTDATA.FONTS[n][10769][2]-=425});F.loadComplete(A.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js
index c749424687..a673e3dc95 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js
index 03bb5357be..37f5abd1f3 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js
index 21e6f50c07..df0bc92a68 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js
index 438eba03f0..e3cc08b989 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js
index 9d4b427943..917b9401be 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js
index 442964fa33..a4b143e074 100644
--- a/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js
index 9c2ddfe4c8..b237a7478b 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js
index a4ade7c66e..c9adf08224 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js
index 4c940fa383..1393386129 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js
index d0772d63ad..61bde6d1a0 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js
index ab602a9186..da7dbcbc23 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js
index 6586bc09a8..3cbdbe1a72 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js
index b0cde9d7f7..01545ca885 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js
index 7d9842f228..cc8af5e489 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js
index 659fc702a9..7919ffc54e 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js
index ee4529fc6a..f2d57354cc 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js b/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js
index 473fab4bbd..8225840ae5 100644
--- a/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js
+++ b/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js b/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js
index f5b5a02716..63076c0d7b 100644
--- a/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js
+++ b/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(u){var w="2.7.6";var l=u.FONTDATA.DELIMITERS;var n="H",d="V";var b="NeoEulerMathJax_Alphabets",s="NeoEulerMathJax_Arrows",x="NeoEulerMathJax_Fraktur",r="NeoEulerMathJax_Main",i="NeoEulerMathJax_Marks",v="NeoEulerMathJax_NonUnicode",o="NeoEulerMathJax_Normal",y="NeoEulerMathJax_Operators",m="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",j="NeoEulerMathJax_Size1",h="NeoEulerMathJax_Size2",g="NeoEulerMathJax_Size3",f="NeoEulerMathJax_Size4",e="NeoEulerMathJax_Size5",q="NeoEulerMathJax_Symbols",k="NeoEulerMathJax_Variants",t="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Normal";var z={8260:{dir:d,HW:[[912,r],[1199,j],[1799,h],[2399,g],[2999,f]]},8417:{dir:n,HW:[[449,i]],stretch:{left:[8406,i],rep:[57348,e],right:[8407,r]}},8430:{dir:n,HW:[[418,i]],stretch:{left:[8430,i],rep:[57349,e]}},8431:{dir:n,HW:[[418,i]],stretch:{rep:[57349,e],right:[8431,i]}},8719:{dir:d,HW:[[1000,y],[1400,j]]},8720:{dir:d,HW:[[1000,y],[1400,j]]},8721:{dir:d,HW:[[1000,y],[1400,j]]},8743:{dir:d,HW:[[718,r],[998,j],[1395,h]]},8744:{dir:d,HW:[[700,r],[998,j],[1395,h]]},8745:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8746:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8747:{dir:d,HW:[[1111,r],[2222,j]]},8748:{dir:d,HW:[[1111,y],[2222,j]]},8749:{dir:d,HW:[[1111,y],[2222,j]]},8750:{dir:d,HW:[[1111,y],[2222,j]]},8846:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8896:{dir:d,HW:[[718,y],[998,j],[1395,h]]},8897:{dir:d,HW:[[700,y],[998,j],[1395,h]]},8898:{dir:d,HW:[[600,y],[965,j],[1358,h]]},8899:{dir:d,HW:[[600,y],[965,j],[1358,h]]},9180:{dir:n,HW:[[925,r],[1199,j],[1799,h],[2399,g],[2999,f]],stretch:{left:[57353,e],rep:[57354,e],right:[57355,e]}},9181:{dir:n,HW:[[925,r],[1199,j],[1799,h],[2399,g],[2999,f]],stretch:{left:[57356,e],rep:[57357,e],right:[57358,e]}},10764:{dir:d,HW:[[1111,y],[2222,j]]}};for(var p in z){if(z.hasOwnProperty(p)){l[p]=z[p]}}MathJax.Ajax.loadComplete(u.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(u){var w="2.7.9";var l=u.FONTDATA.DELIMITERS;var n="H",d="V";var b="NeoEulerMathJax_Alphabets",s="NeoEulerMathJax_Arrows",x="NeoEulerMathJax_Fraktur",r="NeoEulerMathJax_Main",i="NeoEulerMathJax_Marks",v="NeoEulerMathJax_NonUnicode",o="NeoEulerMathJax_Normal",y="NeoEulerMathJax_Operators",m="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",j="NeoEulerMathJax_Size1",h="NeoEulerMathJax_Size2",g="NeoEulerMathJax_Size3",f="NeoEulerMathJax_Size4",e="NeoEulerMathJax_Size5",q="NeoEulerMathJax_Symbols",k="NeoEulerMathJax_Variants",t="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Normal";var z={8260:{dir:d,HW:[[912,r],[1199,j],[1799,h],[2399,g],[2999,f]]},8417:{dir:n,HW:[[449,i]],stretch:{left:[8406,i],rep:[57348,e],right:[8407,r]}},8430:{dir:n,HW:[[418,i]],stretch:{left:[8430,i],rep:[57349,e]}},8431:{dir:n,HW:[[418,i]],stretch:{rep:[57349,e],right:[8431,i]}},8719:{dir:d,HW:[[1000,y],[1400,j]]},8720:{dir:d,HW:[[1000,y],[1400,j]]},8721:{dir:d,HW:[[1000,y],[1400,j]]},8743:{dir:d,HW:[[718,r],[998,j],[1395,h]]},8744:{dir:d,HW:[[700,r],[998,j],[1395,h]]},8745:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8746:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8747:{dir:d,HW:[[1111,r],[2222,j]]},8748:{dir:d,HW:[[1111,y],[2222,j]]},8749:{dir:d,HW:[[1111,y],[2222,j]]},8750:{dir:d,HW:[[1111,y],[2222,j]]},8846:{dir:d,HW:[[600,r],[965,j],[1358,h]]},8896:{dir:d,HW:[[718,y],[998,j],[1395,h]]},8897:{dir:d,HW:[[700,y],[998,j],[1395,h]]},8898:{dir:d,HW:[[600,y],[965,j],[1358,h]]},8899:{dir:d,HW:[[600,y],[965,j],[1358,h]]},9180:{dir:n,HW:[[925,r],[1199,j],[1799,h],[2399,g],[2999,f]],stretch:{left:[57353,e],rep:[57354,e],right:[57355,e]}},9181:{dir:n,HW:[[925,r],[1199,j],[1799,h],[2399,g],[2999,f]],stretch:{left:[57356,e],rep:[57357,e],right:[57358,e]}},10764:{dir:d,HW:[[1111,y],[2222,j]]}};for(var p in z){if(z.hasOwnProperty(p)){l[p]=z[p]}}MathJax.Ajax.loadComplete(u.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/Neo-Euler/fontdata.js b/jax/output/SVG/fonts/Neo-Euler/fontdata.js
index 0da1675f33..aeff11d228 100644
--- a/jax/output/SVG/fonts/Neo-Euler/fontdata.js
+++ b/jax/output/SVG/fonts/Neo-Euler/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/Neo-Euler/fontdata.js
+ *  /MathJax-v2/jax/output/SVG/fonts/Neo-Euler/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(w,e,B,m){var y="2.7.6";var b="NeoEulerMathJax_Alphabets",u="NeoEulerMathJax_Arrows",z="NeoEulerMathJax_Fraktur",t="NeoEulerMathJax_Main",k="NeoEulerMathJax_Marks",x="NeoEulerMathJax_NonUnicode",q="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Operators",o="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",l="NeoEulerMathJax_Size1",j="NeoEulerMathJax_Size2",i="NeoEulerMathJax_Size3",g="NeoEulerMathJax_Size4",f="NeoEulerMathJax_Size5",s="NeoEulerMathJax_Symbols",n="NeoEulerMathJax_Variants",v="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",C="NeoEulerMathJax_Normal";var p="H",d="V",r={load:"extra",dir:p},h={load:"extra",dir:d};w.Augment({FONTDATA:{version:y,baselineskip:1200,lineH:800,lineD:200,FONTS:{NeoEulerMathJax_Alphabets:"Alphabets/Regular/Main.js",NeoEulerMathJax_Arrows:"Arrows/Regular/Main.js",NeoEulerMathJax_Fraktur:"Fraktur/Regular/Main.js",NeoEulerMathJax_Main:"Main/Regular/Main.js",NeoEulerMathJax_Marks:"Marks/Regular/Main.js",NeoEulerMathJax_NonUnicode:"NonUnicode/Regular/Main.js",NeoEulerMathJax_Normal:"Normal/Regular/Main.js",NeoEulerMathJax_Operators:"Operators/Regular/Main.js",NeoEulerMathJax_Script:"Script/Regular/Main.js",NeoEulerMathJax_Shapes:"Shapes/Regular/Main.js",NeoEulerMathJax_Size1:"Size1/Regular/Main.js",NeoEulerMathJax_Size2:"Size2/Regular/Main.js",NeoEulerMathJax_Size3:"Size3/Regular/Main.js",NeoEulerMathJax_Size4:"Size4/Regular/Main.js",NeoEulerMathJax_Size5:"Size5/Regular/Main.js",NeoEulerMathJax_Symbols:"Symbols/Regular/Main.js",NeoEulerMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[t,q,b,k,u,A,s,c,n,x,l]},bold:{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true},"bold-italic":{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true,italic:true},"double-struck":{fonts:[v],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[z],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[z],bold:true,offsetA:120172},script:{fonts:[o],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[o],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[C],offsetA:120432,offsetN:120822},"-Neo-Euler-variant":{fonts:[n,t,q,b,k,u,A,s,c,x,l]},"-tex-caligraphic":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[n,t,q,b,k,u,A,s,c,x,l]},"-tex-caligraphic-bold":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true},"-tex-mathit":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true,noIC:true},"-largeOp":{fonts:[l,t]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,8432:42,8226:8729,8931:"\u2292\u0338",8930:"\u2291\u0338",12296:10216,713:175,8215:95,8428:8641,8429:8637,10799:215,8400:8636,8401:8640,978:933,8212:175,8213:175,12297:10217,65079:9182,65080:9183,697:8242,10072:8739,8254:175},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[925,t],[1198,l],[1798,j],[1961,j,1.091],[2398,i],[2998,g]],stretch:{bot:[9117,s],ext:[9116,s],top:[9115,s]}},41:{dir:d,HW:[[925,t],[1198,l],[1798,j],[1961,j,1.091],[2398,i],[2998,g]],stretch:{bot:[9120,s],ext:[9119,s],top:[9118,s]}},45:{alias:175,dir:p},47:{dir:d,HW:[[912,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]]},61:{dir:p,HW:[[668,t]],stretch:{rep:[61,t]}},91:{dir:d,HW:[[866,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9123,s],ext:[9122,s],top:[9121,s]}},92:{dir:d,HW:[[914,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]]},93:{dir:d,HW:[[866,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9126,s],ext:[9125,s],top:[9124,s]}},95:{alias:175,dir:p},123:{dir:d,HW:[[908,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9129,s],ext:[9130,s],mid:[9128,s],top:[9127,s]}},124:{dir:d,HW:[[905,t],[1505,l],[2105,j],[2706,i],[3306,g]],stretch:{bot:[57344,f],ext:[57345,f]}},125:{dir:d,HW:[[908,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9133,s],ext:[9130,s],mid:[9132,s],top:[9131,s]}},175:{dir:p,HW:[[312,t]],stretch:{rep:[175,t]}},201:{alias:175,dir:p},818:{alias:175,dir:p},8213:{alias:175,dir:p},8214:{dir:d,HW:[[905,t],[1505,l],[2105,j],[2706,i],[3306,g]],stretch:{bot:[57346,f],ext:[57347,f]}},8215:{alias:175,dir:p},8254:{alias:175,dir:p},8260:h,8406:{dir:p,HW:[[418,k]],stretch:{left:[8406,k],rep:[57348,f]}},8407:{dir:p,HW:[[418,t]],stretch:{rep:[57348,f],right:[8407,t]}},8417:r,8430:r,8431:r,8592:{alias:8406,dir:p},8593:{dir:d,HW:[[887,t]],stretch:{top:[8593,t],ext:[124,t]}},8594:{alias:8407,dir:p},8595:{dir:d,HW:[[867,t]],stretch:{ext:[124,t],bot:[8595,t]}},8596:{alias:8417,dir:p},8597:{dir:d,HW:[[1042,t]],stretch:{top:[8593,t],ext:[124,t],bot:[8595,t]}},8656:{dir:p,HW:[[867,t],[1567,l]]},8657:{dir:p,HW:[[640,t]],stretch:{top:[8657,t],ext:[8214,t]}},8658:{dir:p,HW:[[867,t],[1567,l]]},8659:{dir:p,HW:[[640,t]],stretch:{ext:[8214,t],bot:[8659,t]}},8660:{dir:p,HW:[[867,t,null,8656],[1632,l]]},8661:{dir:p,HW:[[640,t]],stretch:{top:[8657,t],ext:[8214,t],bot:[8659,t]}},8719:h,8720:h,8721:h,8722:{dir:p,HW:[],stretch:{rep:[8722,t,0,0,0,-0.31,-0.31]}},8725:{dir:d,HW:[[912,t],[1199,l],[1799,j],[2399,i],[2999,g]]},8730:{dir:d,HW:[[989,t],[1209,l],[1801,j],[2403,i],[3003,g]],stretch:{bot:[57350,f],ext:[57351,f],top:[57352,f]}},8739:{dir:d,HW:[[795,t],[1505,l],[2105,j],[2706,i],[3306,g]]},8741:{dir:d,HW:[[905,t],[905,l],[1505,j],[2105,i],[2706,g],[3306,f]],stretch:{bot:[57346,f],ext:[57347,f]}},8743:h,8744:h,8745:h,8746:h,8747:h,8748:h,8749:h,8750:h,8846:h,8896:h,8897:h,8898:h,8899:h,8968:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{ext:[9122,s],top:[9121,s]}},8969:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{ext:[9125,s],top:[9124,s]}},8970:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9123,s],ext:[9122,s]}},8971:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9126,s],ext:[9125,s]}},8978:{alias:9180,dir:p},8994:{alias:9180,dir:p},8995:{alias:9181,dir:p},9001:{dir:d,HW:[[974,s],[1176,l],[1770,j],[2366,i],[2958,g]]},9002:{dir:d,HW:[[974,s],[1176,l],[1770,j],[2366,i],[2958,g]]},9130:{dir:d,HW:[[320,s]],stretch:{ext:[9130,s]}},9135:{alias:175,dir:p},9136:{dir:d,HW:[[909,s,null,9127]],stretch:{top:[9127,s],ext:[9130,s],bot:[9133,s]}},9137:{dir:d,HW:[[909,s,null,9131]],stretch:{top:[9131,s],ext:[9130,s],bot:[9129,s]}},9168:{dir:d,HW:[[905,t,null,124],[1150,t,1.271,124],[1556,t,1.719,124],[1961,t,2.167,124],[2367,t,2.615,124]],stretch:{ext:[124,t]}},9180:r,9181:r,9182:{dir:p,HW:[[908,t],[1199,l],[1799,j],[2399,i],[2999,g]],stretch:{left:[57359,f],rep:[57360,f],mid:[57361,f],right:[57362,f]}},9183:{dir:p,HW:[[908,t],[1199,l],[1799,j],[2399,i],[2999,g]],stretch:{left:[57363,f],rep:[57364,f],mid:[57365,f],right:[57366,f]}},9472:{alias:175,dir:p},10072:{alias:9168,dir:d},10216:{dir:d,HW:[[974,t],[974,l],[1176,j],[1770,i],[2366,g],[2958,f]]},10217:{dir:d,HW:[[974,t],[974,l],[1176,j],[1770,i],[2366,g],[2958,f]]},10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8406,dir:p},10230:{alias:8407,dir:p},10231:{alias:8417,dir:p},10232:{alias:8656,dir:p},10233:{alias:8658,dir:p},10234:{alias:8660,dir:p},10235:{alias:8406,dir:p},10236:{alias:8407,dir:p},10237:{alias:8656,dir:p},10238:{alias:8658,dir:p},10764:h,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:p},65080:{alias:9183,dir:p}}}});MathJax.Hub.Register.LoadHook(w.fontDir+"/Main/Regular/Main.js",function(){w.FONTDATA.FONTS[t][8722][0]=w.FONTDATA.FONTS[t][43][0];w.FONTDATA.FONTS[t][8722][1]=w.FONTDATA.FONTS[t][43][1]});MathJax.Hub.Register.LoadHook(w.fontDir+"/Size5/Regular/Main.js",function(){var D;D=w.FONTDATA.DELIMITERS[9182].stretch.rep[0];w.FONTDATA.FONTS[f][D][0]+=200;w.FONTDATA.FONTS[f][D][1]+=200;D=w.FONTDATA.DELIMITERS[9183].stretch.rep[0];w.FONTDATA.FONTS[f][D][0]+=200;w.FONTDATA.FONTS[f][D][1]+=200});B.loadComplete(w.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(w,e,B,m){var y="2.7.9";var b="NeoEulerMathJax_Alphabets",u="NeoEulerMathJax_Arrows",z="NeoEulerMathJax_Fraktur",t="NeoEulerMathJax_Main",k="NeoEulerMathJax_Marks",x="NeoEulerMathJax_NonUnicode",q="NeoEulerMathJax_Normal",A="NeoEulerMathJax_Operators",o="NeoEulerMathJax_Script",c="NeoEulerMathJax_Shapes",l="NeoEulerMathJax_Size1",j="NeoEulerMathJax_Size2",i="NeoEulerMathJax_Size3",g="NeoEulerMathJax_Size4",f="NeoEulerMathJax_Size5",s="NeoEulerMathJax_Symbols",n="NeoEulerMathJax_Variants",v="NeoEulerMathJax_Normal",a="NeoEulerMathJax_Normal",C="NeoEulerMathJax_Normal";var p="H",d="V",r={load:"extra",dir:p},h={load:"extra",dir:d};w.Augment({FONTDATA:{version:y,baselineskip:1200,lineH:800,lineD:200,FONTS:{NeoEulerMathJax_Alphabets:"Alphabets/Regular/Main.js",NeoEulerMathJax_Arrows:"Arrows/Regular/Main.js",NeoEulerMathJax_Fraktur:"Fraktur/Regular/Main.js",NeoEulerMathJax_Main:"Main/Regular/Main.js",NeoEulerMathJax_Marks:"Marks/Regular/Main.js",NeoEulerMathJax_NonUnicode:"NonUnicode/Regular/Main.js",NeoEulerMathJax_Normal:"Normal/Regular/Main.js",NeoEulerMathJax_Operators:"Operators/Regular/Main.js",NeoEulerMathJax_Script:"Script/Regular/Main.js",NeoEulerMathJax_Shapes:"Shapes/Regular/Main.js",NeoEulerMathJax_Size1:"Size1/Regular/Main.js",NeoEulerMathJax_Size2:"Size2/Regular/Main.js",NeoEulerMathJax_Size3:"Size3/Regular/Main.js",NeoEulerMathJax_Size4:"Size4/Regular/Main.js",NeoEulerMathJax_Size5:"Size5/Regular/Main.js",NeoEulerMathJax_Symbols:"Symbols/Regular/Main.js",NeoEulerMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[t,q,b,k,u,A,s,c,n,x,l]},bold:{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true,offsetA:119808,offsetG:120488,offsetN:120782},italic:{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true},"bold-italic":{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true,italic:true},"double-struck":{fonts:[v],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[z],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[z],bold:true,offsetA:120172},script:{fonts:[o],italic:true,offsetA:119964,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[o],bold:true,italic:true,offsetA:120016},"sans-serif":{fonts:[a],offsetA:120224,offsetN:120802},"bold-sans-serif":{fonts:[a],bold:true,offsetA:120276,offsetN:120812,offsetG:120662},"sans-serif-italic":{fonts:[a],italic:true,offsetA:120328},"sans-serif-bold-italic":{fonts:[a],bold:true,italic:true,offsetA:120380,offsetG:120720},monospace:{fonts:[C],offsetA:120432,offsetN:120822},"-Neo-Euler-variant":{fonts:[n,t,q,b,k,u,A,s,c,x,l]},"-tex-caligraphic":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true},"-tex-oldstyle":{offsetN:57856,fonts:[n,t,q,b,k,u,A,s,c,x,l]},"-tex-caligraphic-bold":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true,bold:true},"-tex-oldstyle-bold":{fonts:[t,q,b,k,u,A,s,c,n,x,l],bold:true},"-tex-mathit":{fonts:[t,q,b,k,u,A,s,c,n,x,l],italic:true,noIC:true},"-largeOp":{fonts:[l,t]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:1014,offset:"G",remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}}],RULECHAR:8722,REMAP:{10:32,8432:42,8226:8729,8931:"\u2292\u0338",8930:"\u2291\u0338",12296:10216,713:175,8215:95,8428:8641,8429:8637,10799:215,8400:8636,8401:8640,978:933,8212:175,8213:175,12297:10217,65079:9182,65080:9183,697:8242,10072:8739,8254:175},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:d,HW:[[925,t],[1198,l],[1798,j],[1961,j,1.091],[2398,i],[2998,g]],stretch:{bot:[9117,s],ext:[9116,s],top:[9115,s]}},41:{dir:d,HW:[[925,t],[1198,l],[1798,j],[1961,j,1.091],[2398,i],[2998,g]],stretch:{bot:[9120,s],ext:[9119,s],top:[9118,s]}},45:{alias:175,dir:p},47:{dir:d,HW:[[912,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]]},61:{dir:p,HW:[[668,t]],stretch:{rep:[61,t]}},91:{dir:d,HW:[[866,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9123,s],ext:[9122,s],top:[9121,s]}},92:{dir:d,HW:[[914,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]]},93:{dir:d,HW:[[866,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9126,s],ext:[9125,s],top:[9124,s]}},95:{alias:175,dir:p},123:{dir:d,HW:[[908,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9129,s],ext:[9130,s],mid:[9128,s],top:[9127,s]}},124:{dir:d,HW:[[905,t],[1505,l],[2105,j],[2706,i],[3306,g]],stretch:{bot:[57344,f],ext:[57345,f]}},125:{dir:d,HW:[[908,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9133,s],ext:[9130,s],mid:[9132,s],top:[9131,s]}},175:{dir:p,HW:[[312,t]],stretch:{rep:[175,t]}},201:{alias:175,dir:p},818:{alias:175,dir:p},8213:{alias:175,dir:p},8214:{dir:d,HW:[[905,t],[1505,l],[2105,j],[2706,i],[3306,g]],stretch:{bot:[57346,f],ext:[57347,f]}},8215:{alias:175,dir:p},8254:{alias:175,dir:p},8260:h,8406:{dir:p,HW:[[418,k]],stretch:{left:[8406,k],rep:[57348,f]}},8407:{dir:p,HW:[[418,t]],stretch:{rep:[57348,f],right:[8407,t]}},8417:r,8430:r,8431:r,8592:{alias:8406,dir:p},8593:{dir:d,HW:[[887,t]],stretch:{top:[8593,t],ext:[124,t]}},8594:{alias:8407,dir:p},8595:{dir:d,HW:[[867,t]],stretch:{ext:[124,t],bot:[8595,t]}},8596:{alias:8417,dir:p},8597:{dir:d,HW:[[1042,t]],stretch:{top:[8593,t],ext:[124,t],bot:[8595,t]}},8656:{dir:p,HW:[[867,t],[1567,l]]},8657:{dir:p,HW:[[640,t]],stretch:{top:[8657,t],ext:[8214,t]}},8658:{dir:p,HW:[[867,t],[1567,l]]},8659:{dir:p,HW:[[640,t]],stretch:{ext:[8214,t],bot:[8659,t]}},8660:{dir:p,HW:[[867,t,null,8656],[1632,l]]},8661:{dir:p,HW:[[640,t]],stretch:{top:[8657,t],ext:[8214,t],bot:[8659,t]}},8719:h,8720:h,8721:h,8722:{dir:p,HW:[],stretch:{rep:[8722,t,0,0,0,-0.31,-0.31]}},8725:{dir:d,HW:[[912,t],[1199,l],[1799,j],[2399,i],[2999,g]]},8730:{dir:d,HW:[[989,t],[1209,l],[1801,j],[2403,i],[3003,g]],stretch:{bot:[57350,f],ext:[57351,f],top:[57352,f]}},8739:{dir:d,HW:[[795,t],[1505,l],[2105,j],[2706,i],[3306,g]]},8741:{dir:d,HW:[[905,t],[905,l],[1505,j],[2105,i],[2706,g],[3306,f]],stretch:{bot:[57346,f],ext:[57347,f]}},8743:h,8744:h,8745:h,8746:h,8747:h,8748:h,8749:h,8750:h,8846:h,8896:h,8897:h,8898:h,8899:h,8968:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{ext:[9122,s],top:[9121,s]}},8969:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{ext:[9125,s],top:[9124,s]}},8970:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9123,s],ext:[9122,s]}},8971:{dir:d,HW:[[980,t],[1199,l],[1799,j],[1961,j,1.09],[2399,i],[2999,g]],stretch:{bot:[9126,s],ext:[9125,s]}},8978:{alias:9180,dir:p},8994:{alias:9180,dir:p},8995:{alias:9181,dir:p},9001:{dir:d,HW:[[974,s],[1176,l],[1770,j],[2366,i],[2958,g]]},9002:{dir:d,HW:[[974,s],[1176,l],[1770,j],[2366,i],[2958,g]]},9130:{dir:d,HW:[[320,s]],stretch:{ext:[9130,s]}},9135:{alias:175,dir:p},9136:{dir:d,HW:[[909,s,null,9127]],stretch:{top:[9127,s],ext:[9130,s],bot:[9133,s]}},9137:{dir:d,HW:[[909,s,null,9131]],stretch:{top:[9131,s],ext:[9130,s],bot:[9129,s]}},9168:{dir:d,HW:[[905,t,null,124],[1150,t,1.271,124],[1556,t,1.719,124],[1961,t,2.167,124],[2367,t,2.615,124]],stretch:{ext:[124,t]}},9180:r,9181:r,9182:{dir:p,HW:[[908,t],[1199,l],[1799,j],[2399,i],[2999,g]],stretch:{left:[57359,f],rep:[57360,f],mid:[57361,f],right:[57362,f]}},9183:{dir:p,HW:[[908,t],[1199,l],[1799,j],[2399,i],[2999,g]],stretch:{left:[57363,f],rep:[57364,f],mid:[57365,f],right:[57366,f]}},9472:{alias:175,dir:p},10072:{alias:9168,dir:d},10216:{dir:d,HW:[[974,t],[974,l],[1176,j],[1770,i],[2366,g],[2958,f]]},10217:{dir:d,HW:[[974,t],[974,l],[1176,j],[1770,i],[2366,g],[2958,f]]},10222:{alias:40,dir:d},10223:{alias:41,dir:d},10229:{alias:8406,dir:p},10230:{alias:8407,dir:p},10231:{alias:8417,dir:p},10232:{alias:8656,dir:p},10233:{alias:8658,dir:p},10234:{alias:8660,dir:p},10235:{alias:8406,dir:p},10236:{alias:8407,dir:p},10237:{alias:8656,dir:p},10238:{alias:8658,dir:p},10764:h,12296:{alias:10216,dir:d},12297:{alias:10217,dir:d},65079:{alias:9182,dir:p},65080:{alias:9183,dir:p}}}});MathJax.Hub.Register.LoadHook(w.fontDir+"/Main/Regular/Main.js",function(){w.FONTDATA.FONTS[t][8722][0]=w.FONTDATA.FONTS[t][43][0];w.FONTDATA.FONTS[t][8722][1]=w.FONTDATA.FONTS[t][43][1]});MathJax.Hub.Register.LoadHook(w.fontDir+"/Size5/Regular/Main.js",function(){var D;D=w.FONTDATA.DELIMITERS[9182].stretch.rep[0];w.FONTDATA.FONTS[f][D][0]+=200;w.FONTDATA.FONTS[f][D][1]+=200;D=w.FONTDATA.DELIMITERS[9183].stretch.rep[0];w.FONTDATA.FONTS[f][D][0]+=200;w.FONTDATA.FONTS[f][D][1]+=200});B.loadComplete(w.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js
index e77d9f729c..a82e0a8ed5 100644
--- a/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js b/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
index c803ed8c85..3f4998bb06 100644
--- a/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js b/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js
index a1da7a01fb..fd52a087c7 100644
--- a/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js
index 5e49d0b2fd..6adb773043 100644
--- a/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js
index 3063f725de..2d60eb52a4 100644
--- a/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js
index 16a5caf0cb..23c7167fce 100644
--- a/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js
index eeebf4bd4d..79b6fb44d1 100644
--- a/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js b/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
index c49c4a5d41..522c6477fc 100644
--- a/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js b/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js
index 3c8c1998cd..f01af0afd6 100644
--- a/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js
index 94aa19baa3..9bd322b17f 100644
--- a/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js
index 399f05dba1..620b9d404d 100644
--- a/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js
index 8474b0f86f..515d44d2a2 100644
--- a/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js
index 5c7f1b52e3..17f4fdbc5d 100644
--- a/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js b/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js
index 326c1b7070..5c8271fb6d 100644
--- a/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js b/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js
index e6dd4336a3..ba3a7f2d73 100644
--- a/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js
index 6696fff2c0..c29dfcab5e 100644
--- a/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js
index 10e542c01e..776859bd1f 100644
--- a/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js b/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js
index ec38fcbf9f..dcd20280e3 100644
--- a/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js b/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js
index 2e3b483f8c..5ce4ba221e 100644
--- a/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js
index 03bba3e1d3..88c99de39a 100644
--- a/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js
index c2d94b02ad..0d82d2e0d9 100644
--- a/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js b/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js
index 4a736b3cd2..b4f262969d 100644
--- a/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js b/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js
index b576967e8e..f03ae8300d 100644
--- a/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js
index 33a27353c5..8df5ba2f13 100644
--- a/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js
index 298f4711ac..9574302e12 100644
--- a/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js b/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js
index 32bf005f64..94b6539d5c 100644
--- a/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js b/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js
index 7c2f9ff66a..1dda65a618 100644
--- a/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js
index 00cf232239..a29a259878 100644
--- a/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js
index 4b60dc5089..2972f6989f 100644
--- a/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js
index 4770c14999..94cb409f43 100644
--- a/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js b/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js
index 1d33c65508..1094ba2554 100644
--- a/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax.SVG.FONTDATA.FONTS["STIXMathJax_Normal-bold-italic"]={directory:"Normal/BoldItalic",family:"STIXMathJax_Normal",weight:"bold",style:"italic",id:"STIXWEBNORMALBI",32:[0,0,250,0,0,""],160:[0,0,250,0,0,""],119912:[685,0,759,39,724,"724 23l-2 -23h-319l4 23h31c33 0 51 17 51 45c0 10 -1 28 -2 34l-15 108h-159l-80 -139c-2 -4 -6 -13 -6 -22c0 -19 9 -26 22 -26h56l-6 -23h-260l4 23c45 5 74 17 108 75l346 587h49l94 -624c4 -24 20 -38 47 -38h37zM466 256l-23 178l-103 -178h126"],119913:[669,0,726,42,715,"197 669h265c124 0 253 -22 253 -152c0 -74 -43 -120 -100 -147c-18 -9 -43 -18 -64 -24c58 -11 130 -60 130 -133c0 -126 -89 -213 -299 -213h-340l4 23h40c60 0 74 23 83 62l116 502c2 8 2 16 2 22c-2 24 -11 37 -56 37h-37zM440 624l-58 -251c12 -2 21 -2 32 -2 c14 0 28 1 40 4c74 16 109 76 109 150c0 35 -10 99 -74 99h-49zM373 324l-64 -274c19 -4 34 -5 52 -5c87 0 165 68 165 176c0 76 -53 103 -122 103h-31"],119914:[685,12,701,55,745,"745 685l-54 -234h-23c1 10 2 20 2 30c0 80 -45 157 -161 157c-183 0 -296 -200 -296 -375c0 -114 52 -218 173 -218c107 0 193 37 245 114l22 -15c-24 -39 -58 -70 -93 -96c-74 -54 -164 -60 -202 -60c-207 0 -303 119 -303 288c0 103 44 213 128 292 c79 74 188 117 311 117c61 0 129 -28 172 -28c9 0 40 0 57 28h22"],119915:[669,0,818,42,790,"197 669h289c214 0 304 -130 304 -275c0 -98 -38 -203 -116 -279c-72 -71 -177 -115 -309 -115h-323l4 23h37c59 0 76 21 85 60l116 504c2 8 3 16 3 23c0 22 -12 36 -57 36h-37zM440 624l-117 -508c-6 -24 -7 -29 -7 -32c2 -37 43 -39 78 -39c181 0 241 199 241 347 c0 90 -25 232 -140 232h-55"],119916:[669,0,732,42,754,"754 669l-40 -168h-23c3 17 3 28 3 38c-1 73 -75 85 -121 85h-135l-55 -239h55c56 0 116 9 137 95h22l-54 -251h-23c3 12 6 47 6 65c0 43 -56 46 -85 46h-69l-58 -258c-1 -6 -2 -13 -2 -17c0 -14 11 -20 42 -20h65c146 0 220 42 262 161h22l-61 -206h-600l4 23h36 c59 0 76 22 85 61l115 504c1 6 2 11 2 16c0 27 -17 42 -59 42h-37l4 23h562"],119917:[669,0,635,44,750,"750 669l-42 -168h-23c2 11 3 26 3 41c0 75 -79 82 -123 82h-124l-56 -248h59c57 0 119 8 138 96h24l-57 -253h-23c3 16 7 47 7 66c0 46 -56 46 -84 46h-75l-58 -249c-3 -9 -4 -17 -4 -24c0 -23 16 -35 60 -35h52l-3 -23h-377l4 23h36c62 0 76 22 85 61l116 504 c2 8 3 16 3 23c0 22 -13 35 -60 35h-37l4 23h555"],119918:[685,12,768,55,768,"768 342l-5 -23h-24c-60 0 -78 -19 -89 -61l-59 -218c-89 -43 -171 -52 -234 -52c-207 0 -302 138 -302 290c0 101 41 206 121 283c82 80 199 124 334 124c85 0 102 -33 162 -33c10 0 51 8 57 33h23l-53 -224h-23c4 14 6 27 6 40c0 76 -69 139 -166 139 c-188 0 -303 -212 -303 -398c0 -83 29 -209 156 -209c35 0 58 7 78 20l57 208c3 9 4 16 4 24c-1 23 -10 34 -55 34h-35l5 23h345"],119919:[669,0,891,42,946,"946 669l-5 -23h-37c-61 0 -75 -21 -84 -61l-114 -503c-2 -7 -6 -14 -6 -22v-3c1 -24 10 -34 58 -34h41l-5 -23h-349l4 23h23c61 0 78 22 87 61l57 251h-242l-59 -253c-1 -8 -4 -15 -4 -23c2 -27 14 -36 60 -36h25l-5 -23h-349l4 23h36c61 0 77 22 86 61l115 503 c2 8 3 14 3 21c0 23 -15 38 -57 38h-40l6 23h348l-3 -23h-25c-63 0 -76 -21 -85 -60l-46 -203h242l47 204c2 8 3 16 3 23c0 23 -14 36 -60 36h-37l3 23h364"],119920:[669,0,502,42,557,"557 669l-4 -23h-38c-61 0 -76 -22 -85 -61l-116 -503c-1 -5 -1 -14 -1 -25c1 -23 12 -34 58 -34h37l-4 -23h-362l4 23h38c61 0 74 22 83 61l115 502c2 8 3 15 3 21c0 24 -15 39 -57 39h-37l4 23h362"],119921:[669,12,558,66,646,"646 669l-3 -23h-37c-59 0 -78 -20 -87 -61l-96 -420c-16 -72 -49 -118 -95 -148c-37 -25 -92 -29 -118 -29c-79 0 -144 47 -144 101c0 34 20 78 85 78c41 0 81 -27 81 -58c0 -33 -27 -32 -27 -59c0 -16 15 -18 19 -18c22 0 37 67 43 93l105 463c2 8 3 15 3 22 c0 23 -15 36 -56 36h-38l3 23h362"],119922:[669,0,795,42,839,"839 669l-4 -23c-56 0 -88 -25 -135 -63l-248 -201l191 -284c47 -69 76 -75 135 -75l-4 -23h-328l4 23h29c21 0 29 8 29 22c0 16 -11 33 -16 40l-138 208l-48 -211c-1 -5 -1 -14 -1 -21c1 -27 13 -38 58 -38h38l-5 -23h-354l5 23h30c63 0 73 22 82 61l115 503 c2 8 4 16 4 23c0 23 -15 36 -58 36h-37l4 23h347l-6 -23h-27c-58 0 -72 -26 -81 -64l-40 -178h2l243 198c9 8 15 16 15 23c0 11 -11 21 -31 21h-24l4 23h250"],119923:[669,0,744,42,700,"700 199l-59 -199h-599l4 23h35c65 0 78 22 87 61l116 496c1 5 2 10 2 15c0 26 -18 51 -60 51h-36l4 23h360l-4 -23h-37c-53 0 -71 -23 -82 -70l-115 -492c-1 -5 -3 -13 -3 -16c1 -21 10 -23 21 -23h120c109 0 194 21 223 155"],119924:[669,0,1016,42,1071,"1071 669l-3 -23h-34c-66 0 -80 -25 -89 -65l-115 -499c-2 -7 -3 -14 -3 -20c0 -25 16 -39 59 -39h39l-4 -23h-362l4 23h35c63 0 76 24 85 61l82 354h-1l-283 -438h-56l-90 441l-80 -348c-2 -10 -3 -27 -3 -40c2 -22 10 -30 55 -30h38l-3 -23h-300l4 23h36 c62 0 78 27 88 72l111 486c3 9 4 26 4 33c0 23 -16 32 -58 32h-39l4 23h246l91 -468l297 468h245"],119925:[669,0,869,42,924,"924 669l-3 -23h-38c-61 0 -78 -22 -87 -64l-131 -582h-57l-263 491l-92 -409c-1 -6 -2 -11 -2 -18v-8c1 -23 12 -33 57 -33h39l-4 -23h-301l4 23h36c61 0 76 22 85 61l117 510c-17 43 -47 52 -71 52h-38l3 23h232l222 -435l80 350c2 7 2 14 2 20c0 24 -11 42 -57 42h-37 l4 23h300"],119926:[685,16,777,55,755,"755 432c0 -237 -195 -448 -429 -448c-177 0 -271 120 -271 263c0 210 166 438 428 438c178 0 272 -124 272 -253zM601 467c0 88 -36 171 -129 171c-184 0 -262 -287 -262 -431c0 -91 36 -176 126 -176c168 0 265 279 265 436"],119927:[669,0,612,42,733,"198 669h284c166 0 251 -45 251 -163c0 -97 -82 -206 -297 -206c-24 0 -46 0 -67 3l-51 -221c-1 -5 -4 -16 -4 -24c2 -27 13 -35 60 -35h52l-4 -23h-380l4 23h40c62 0 76 22 85 61l115 504c2 8 3 13 3 21c-1 24 -14 37 -60 37h-37zM441 623l-61 -273c13 -3 28 -5 40 -5 c91 0 157 72 157 176c0 52 -28 103 -106 103c-10 0 -21 0 -30 -1"],119928:[685,154,810,55,755,"97 -112l159 101c-118 19 -201 119 -201 242c0 218 163 454 428 454c158 0 271 -103 272 -254c2 -230 -171 -430 -420 -449l-52 -30c8 1 17 1 23 1c72 0 165 -34 246 -34c34 0 88 2 145 68l17 -13c-57 -73 -132 -128 -258 -128c-56 0 -109 9 -146 17 c-50 11 -103 26 -129 26c-5 0 -30 -1 -72 -21zM601 479c0 114 -76 159 -129 159c-186 0 -262 -290 -262 -452c0 -63 36 -156 115 -156c183 0 276 278 276 449"],119929:[669,0,801,42,784,"784 23l-4 -23h-223l-154 317c-5 0 -9 1 -35 2l-55 -237c-1 -5 -2 -14 -2 -22c2 -27 11 -37 56 -37h39l-4 -23h-360l4 23h36c65 0 75 22 84 61l114 500c2 10 4 19 4 27c0 23 -16 35 -59 35h-37l4 23h284c173 0 235 -72 235 -155c0 -81 -65 -149 -172 -176l115 -231 c23 -46 53 -84 130 -84zM379 364h40c101 0 139 64 139 142c0 82 -38 106 -72 114c-16 3 -25 4 -34 4h-16"],119930:[685,10,671,55,704,"704 682l-50 -219h-23c0 21 0 33 -1 50c-3 66 -73 125 -169 125c-36 0 -100 -21 -100 -84c0 -74 55 -118 113 -162c67 -51 126 -121 126 -210c0 -92 -94 -192 -257 -192c-65 0 -113 14 -157 32c-6 2 -29 9 -41 9c-15 0 -48 -9 -68 -39h-22l59 245h24v-35 c0 -86 63 -163 180 -163c94 0 135 54 135 119c0 41 -17 87 -43 113c-63 63 -194 131 -194 245c0 90 72 169 237 169c90 0 147 -40 179 -40c18 0 44 14 50 37h22"],119931:[669,0,568,28,700,"700 669l-44 -187h-24c6 18 7 40 7 54c0 62 -45 88 -111 88h-78l-123 -541c-1 -6 -4 -15 -4 -25c1 -24 11 -35 57 -35h42l-3 -23h-368l4 23h40c62 0 76 22 85 61l124 540h-75c-100 0 -160 -54 -179 -142h-22l43 187h629"],119932:[669,10,733,72,810,"810 669l-4 -23h-38c-61 0 -77 -18 -86 -60l-80 -359c-6 -25 -14 -55 -31 -92c-30 -65 -95 -145 -249 -145c-171 0 -240 100 -240 194c0 19 7 59 15 95l70 307c1 4 2 9 2 15c0 20 -10 45 -60 45h-37l4 23h363l-4 -23h-39c-65 0 -74 -19 -83 -60l-83 -363 c-4 -17 -7 -49 -7 -67c0 -56 45 -110 127 -110c96 0 145 77 170 187l79 355c2 5 2 16 2 24c-1 24 -13 34 -57 34h-37l4 23h299"],119933:[669,15,593,66,797,"797 669l-4 -23c-69 0 -104 -40 -132 -78l-431 -583h-52l-20 573c0 7 0 14 -1 20c-2 36 -9 68 -66 68h-25l3 23h326l-4 -23h-36c-42 0 -49 -37 -49 -69v-8l8 -350l242 336c18 25 33 52 33 71c0 15 -7 20 -34 20h-37l3 23h276"],119934:[669,17,925,66,1129,"1129 669l-3 -23c-72 0 -109 -49 -137 -87l-425 -576h-53l-21 407l-260 -407h-53l-21 575c-2 64 -12 88 -70 88h-20l3 23h314l-4 -23h-22c-36 0 -56 -16 -55 -78l8 -331l182 278l-3 65c-2 33 -13 66 -59 66h-24l4 23h318l-4 -23h-37c-45 0 -51 -42 -50 -78l5 -354 l242 331c16 22 34 56 34 79c0 17 -7 22 -35 22h-37l3 23h280"],119935:[669,0,808,28,830,"830 669l-3 -23h-24c-63 0 -82 -34 -116 -74l-177 -212l98 -270c15 -40 28 -67 62 -67h36l-4 -23h-316l3 23h28c33 0 49 12 49 36c0 8 -1 17 -5 27l-63 171l-154 -179c-6 -7 -8 -15 -8 -22c0 -18 15 -33 39 -33h42l-4 -23h-285l4 23c60 7 104 33 142 77l198 229l-89 237 c-12 33 -33 80 -84 80h-27l4 23h318l-4 -23h-39c-23 0 -34 -9 -34 -27c0 -9 4 -20 8 -32l53 -155l137 162c6 7 10 17 10 27c0 14 -8 25 -28 25h-31l4 23h260"],119936:[669,0,549,39,725,"725 669l-3 -23c-58 0 -91 -33 -125 -76l-197 -252l-56 -236c-1 -9 -3 -16 -3 -27c0 -17 13 -32 58 -32h39l-4 -23h-362l4 23h37c63 0 75 24 84 61l56 243l-92 238c-20 51 -41 81 -122 81l3 23h331l-4 -23h-35c-33 0 -43 -11 -43 -28c0 -14 8 -36 15 -54l63 -172l150 191 c11 14 11 28 11 37c0 16 -13 26 -51 26h-28l4 23h270"],119937:[669,0,797,66,830,"830 669l-548 -623h194c91 0 189 11 223 141h23l-44 -187h-612l555 624h-177c-87 0 -183 -4 -232 -121h-23l46 166h595"],119938:[462,10,581,44,548,"529 105l19 -12c-36 -63 -79 -103 -155 -103c-35 0 -68 19 -69 70h-6c-47 -49 -99 -70 -146 -70c-71 0 -128 36 -128 122c0 139 116 350 281 350c55 0 82 -34 84 -64h2l11 51h115l-74 -316c-2 -7 -6 -28 -6 -45s4 -31 16 -31c19 0 35 21 56 48zM382 324 c0 64 -20 98 -54 98c-71 0 -168 -155 -168 -297c0 -55 27 -65 45 -65c70 0 177 153 177 264"],119939:[685,8,509,50,487,"263 429l7 -1c26 17 56 31 93 31c92 0 124 -63 124 -163c0 -128 -101 -304 -273 -304c-58 0 -117 21 -164 55l127 563c1 5 2 10 2 14c0 11 -4 17 -14 17c-6 0 -15 0 -43 -7l-4 23l198 28zM219 253l-47 -203c3 -17 26 -23 37 -23c99 0 162 171 162 272c0 71 -26 96 -49 96 c-59 0 -92 -95 -103 -142"],119940:[462,10,477,44,460,"412 114l18 -8c-51 -64 -123 -116 -224 -116c-126 0 -162 86 -162 162c0 132 110 310 294 310c72 0 122 -37 122 -82c0 -36 -23 -74 -78 -74c-44 0 -52 29 -52 43c0 36 23 32 23 53c0 15 -6 20 -15 20c-105 0 -178 -180 -178 -267c0 -92 50 -120 101 -120s98 22 151 79"],119941:[685,14,595,44,589,"589 685l-130 -565c-3 -13 -8 -28 -8 -41s6 -24 24 -24s35 23 53 47l19 -11c-19 -46 -78 -105 -159 -105c-42 0 -66 37 -66 69h-5c-60 -62 -120 -69 -141 -69c-90 0 -132 51 -132 126c0 144 94 347 278 347c30 0 65 -8 85 -21l37 152c2 7 4 17 4 26c0 12 -4 22 -17 22 c-11 0 -29 -4 -42 -7l-4 23zM385 346c0 48 -31 73 -60 73c-78 0 -166 -153 -166 -297c0 -50 27 -67 48 -67c53 0 130 88 157 183c10 33 21 77 21 108"],119942:[462,10,498,44,459,"412 114l19 -7c-53 -66 -113 -117 -229 -117c-123 0 -158 88 -158 158c0 20 1 38 6 59c43 174 178 255 286 255c44 0 123 -10 123 -84c0 -119 -181 -188 -295 -197c-4 -10 -4 -15 -4 -23c0 -82 44 -123 102 -123c57 0 91 22 150 79zM358 386c0 26 -8 36 -34 36 c-68 0 -144 -123 -153 -201c80 11 187 94 187 165"],119943:[685,207,572,44,632,"249 449h52c37 0 40 54 70 117c26 54 81 119 167 119c65 0 94 -39 94 -77c0 -35 -19 -73 -60 -73c-43 0 -57 24 -57 49c0 37 20 30 20 51c0 4 -3 7 -10 7c-31 0 -56 -59 -70 -128l-13 -65h80l-12 -47h-79l-88 -387c-6 -27 -19 -66 -38 -104c-27 -52 -81 -118 -167 -118 c-65 0 -94 39 -94 77c0 35 19 73 60 73c43 0 57 -28 57 -53c0 -37 -20 -26 -20 -47c0 -4 3 -7 10 -7c47 0 72 164 86 225l78 341h-79"],119944:[462,203,527,22,527,"527 435l-14 -60h-77c10 -15 13 -31 13 -48c0 -75 -52 -153 -154 -164c-50 -5 -74 -23 -74 -49c0 -53 231 -34 231 -155c0 -69 -68 -162 -229 -162c-145 0 -201 64 -201 118c0 55 54 95 119 118c-15 12 -22 33 -22 51c0 37 32 78 79 87c-68 22 -93 73 -93 115 c0 86 73 176 192 176c46 0 85 -19 98 -31zM334 361c0 38 -10 61 -32 61c-41 0 -79 -76 -79 -147c0 -48 12 -80 35 -80c51 0 76 106 76 166zM346 -81c0 49 -38 67 -90 78c-17 3 -55 11 -77 17l-17 -13c-16 -13 -38 -46 -38 -76c0 -49 36 -92 117 -92c74 0 105 40 105 86"],119945:[685,10,576,50,543,"523 105l20 -11c-37 -63 -82 -104 -153 -104c-26 0 -69 15 -69 46c0 11 2 24 7 46l54 223c2 10 3 26 3 42c0 27 -13 37 -29 37c-57 0 -141 -165 -166 -275l-25 -109h-115l138 599c1 4 2 11 2 15c0 11 -1 15 -11 15c-7 0 -11 -1 -44 -10l-5 28l188 38l-81 -354l2 -1 c33 61 109 129 180 129c69 0 89 -38 89 -83c0 -13 -4 -44 -7 -56l-50 -213c-1 -4 -2 -15 -2 -21c0 -16 5 -28 20 -28c18 0 34 21 54 47"],119946:[620,9,357,55,300,"300 558c0 -30 -27 -62 -66 -62c-37 0 -66 32 -66 62c0 28 29 62 66 62c39 0 66 -34 66 -62zM255 104l19 -12c-32 -57 -82 -101 -152 -101c-51 0 -67 24 -67 56c0 10 1 20 4 31l66 285c3 13 5 20 5 27c0 11 -5 18 -20 18c-9 0 -21 0 -37 -3l-4 23l197 34l-78 -331 c-4 -15 -8 -30 -8 -48c0 -13 9 -25 21 -25c20 0 35 23 54 46"],119947:[620,207,431,-18,414,"414 558c0 -30 -27 -62 -66 -62c-37 0 -66 32 -66 62c0 28 29 62 66 62c39 0 66 -34 66 -62zM384 462l-102 -447c-6 -27 -17 -58 -36 -96c-27 -52 -84 -126 -170 -126c-65 0 -94 39 -94 77c0 35 19 73 60 73c36 0 57 -27 57 -53c0 -34 -21 -31 -21 -45c0 -9 5 -9 10 -9 c32 0 55 81 73 160l84 368c2 9 3 20 3 25c0 11 -5 18 -20 18c-9 0 -21 0 -37 -3l-4 23"],119948:[685,11,580,55,563,"563 449l-6 -19c-72 -9 -95 -30 -132 -66l-95 -94l64 -149c16 -37 32 -57 40 -57c14 0 33 5 51 67h25c0 -20 -37 -142 -120 -142c-61 0 -72 44 -92 82l-64 124l-24 -22l-39 -173h-116l138 601c1 3 2 9 2 16c0 9 -4 13 -11 13c-6 0 -13 -2 -44 -9l-5 27l193 37l-97 -423 l124 111c7 6 24 28 24 43c0 7 -7 12 -17 12h-30l7 21h224"],119949:[685,9,346,50,310,"310 685l-132 -574c-3 -11 -4 -22 -4 -31c1 -6 7 -14 18 -14c18 0 32 11 52 37l19 -15c-24 -38 -85 -97 -153 -97c-32 0 -60 16 -60 46c0 11 1 26 6 47l118 515c1 6 2 11 2 16c0 12 -4 15 -11 15c-9 0 -27 -5 -44 -10l-5 28"],119950:[467,9,760,33,727,"708 106l19 -15c-30 -52 -78 -100 -157 -100c-26 0 -60 17 -61 48c0 21 5 39 11 66l46 202c3 14 9 52 9 60c0 10 0 22 -16 22c-35 0 -134 -183 -148 -249l-29 -140h-119l73 307c4 18 8 53 8 60c-1 13 -4 21 -18 21c-36 0 -129 -183 -144 -248l-32 -140h-117l89 388 c0 20 -4 26 -12 26c-6 0 -13 -1 -45 -9l-5 28l197 34l-27 -111h2c66 91 119 106 153 106c53 0 76 -47 77 -85c0 -7 -1 -14 -2 -19c41 48 89 104 156 104c52 0 75 -35 75 -77c0 -19 -2 -42 -8 -68l-41 -186c-3 -14 -8 -32 -8 -46s5 -24 23 -24c17 0 39 27 51 45"],119951:[467,10,559,33,526,"506 105l20 -11c-37 -63 -82 -104 -153 -104c-46 0 -68 23 -68 58c0 10 3 22 6 34l54 223c2 10 3 31 3 47c0 27 -13 35 -29 35c-57 0 -141 -168 -166 -278l-25 -109h-115l88 384c1 4 2 11 2 15c0 11 -1 15 -11 15c-7 0 -14 0 -47 -9l-5 28l195 34l-27 -111h4 c33 61 99 106 170 106c69 0 89 -36 89 -81c0 -13 -4 -49 -7 -61l-50 -213c-1 -6 -3 -14 -3 -22c0 -14 4 -27 21 -27c18 0 34 21 54 47"],119952:[462,10,561,44,539,"539 297c0 -186 -144 -307 -308 -307c-118 0 -187 71 -187 180c0 172 139 292 295 292c118 0 200 -58 200 -165zM423 300c0 91 -43 122 -89 122c-88 0 -174 -151 -174 -264c0 -97 28 -128 88 -128c92 0 175 142 175 270"],119953:[469,205,571,-33,554,"294 429h5c26 24 61 33 91 33c78 0 164 -42 164 -171c0 -165 -141 -303 -273 -303c-29 0 -68 6 -88 19l-25 -105c-3 -12 -4 -21 -4 -32c0 -26 7 -54 41 -54h36l-7 -21h-267l7 21c56 8 66 43 77 89l103 440c3 15 5 28 5 39c0 20 -7 32 -23 32c-6 0 -14 -1 -25 -4l-6 17 l198 40zM244 241l-33 -154c1 -44 34 -59 67 -59c73 0 162 141 162 261c0 94 -29 123 -77 123c-53 0 -100 -83 -119 -171"],119954:[462,205,526,44,532,"532 449l-129 -561c-2 -7 -5 -18 -5 -27c1 -34 11 -45 32 -45h34l-6 -21h-288l6 21h36c51 0 65 34 74 72l38 168h-1c-41 -57 -122 -66 -153 -66c-81 0 -126 65 -126 136c0 152 105 336 278 336c34 0 70 -13 85 -51h4l10 38h111zM388 345c0 53 -32 77 -61 77 c-90 0 -169 -160 -169 -305c0 -29 8 -70 53 -70c69 0 177 145 177 298"],119955:[467,0,441,33,424,"257 467l-20 -91c29 44 71 86 125 86c42 0 62 -29 62 -55c0 -36 -25 -86 -81 -86c-41 0 -33 38 -49 38c-42 0 -121 -255 -127 -279l-20 -80h-114l88 380c1 8 3 15 3 21c0 12 -9 15 -16 15c-10 0 -19 -3 -41 -11l-3 28"],119956:[462,11,474,55,419,"419 462l-22 -160h-22c-1 73 -50 123 -88 123c-27 0 -46 -13 -46 -55c0 -29 34 -62 68 -102c42 -50 75 -81 75 -149c0 -66 -56 -129 -155 -129c-60 0 -84 21 -110 21c-11 0 -24 -7 -39 -22h-25l22 165h24c2 -71 59 -128 106 -128c46 0 63 39 63 80c0 39 -29 64 -47 85 c-40 47 -91 100 -91 154c0 81 69 117 130 117c56 0 76 -22 93 -22c9 0 30 2 39 22h25"],119957:[592,10,351,44,318,"318 460l-12 -47h-67l-69 -302c-1 -5 -3 -14 -3 -19c0 -19 7 -32 20 -32c18 0 35 17 54 44l20 -10c-31 -58 -88 -104 -151 -104c-37 0 -66 17 -66 61c0 10 1 22 4 33l76 329h-74l8 47c118 0 134 44 167 132h54l-29 -132h68"],119958:[463,10,535,33,502,"482 104l20 -10c-38 -67 -85 -104 -155 -104c-26 0 -66 15 -67 47c0 13 0 38 17 82h-3c-28 -45 -87 -129 -182 -129c-63 0 -79 40 -79 82c0 20 3 40 7 57l54 237c2 11 3 22 3 25c0 18 -6 21 -13 21c-4 0 -14 -1 -44 -7l-3 24l194 34l-79 -344c-2 -6 -6 -23 -6 -32 c0 -18 9 -22 21 -22c48 0 166 180 190 294l19 90h113l-78 -337c-1 -5 -2 -12 -2 -19c0 -17 4 -35 19 -35c18 0 35 20 54 46"],119959:[473,14,554,52,539,"60 412v24c78 3 154 20 229 37c-13 -40 -22 -81 -34 -121c-17 -59 -62 -188 -62 -243c0 -31 22 -42 50 -42c66 0 181 146 198 207c3 11 5 22 5 34c0 52 -47 48 -47 105c0 33 31 60 63 60c41 0 77 -36 77 -77c0 -34 -22 -79 -38 -109c-51 -95 -133 -198 -223 -258 c-37 -25 -85 -43 -130 -43c-50 0 -96 23 -96 79c0 86 42 197 65 281c3 13 7 26 7 39c0 29 -44 27 -64 27"],119960:[473,14,814,52,799,"565 462l-76 -279c-7 -25 -20 -61 -20 -87c0 -22 14 -29 34 -29c56 0 129 91 159 134c23 32 44 66 44 106c0 59 -47 47 -47 107c0 32 31 59 63 59c42 0 77 -35 77 -76c0 -34 -22 -80 -38 -109c-50 -94 -136 -202 -224 -260c-36 -24 -85 -42 -129 -42c-58 0 -74 29 -74 83 c0 25 16 67 24 91c-45 -80 -112 -174 -214 -174c-51 0 -92 25 -92 81c0 37 7 74 17 110l37 134c6 21 18 55 18 76c0 24 -31 26 -49 26h-15v24c78 5 155 17 230 36l-91 -312c-6 -22 -14 -45 -14 -68c0 -15 6 -29 24 -29c65 0 132 134 154 186c29 69 46 141 64 212h138"],119961:[462,8,587,33,543,"327 334l22 34c22 34 65 94 122 94c47 0 72 -27 72 -50c0 -22 -5 -66 -62 -66c-30 0 -26 34 -40 34s-20 -10 -38 -40l-47 -79l49 -138c7 -19 13 -54 33 -54c17 0 34 5 55 68h24c-21 -81 -57 -145 -119 -145c-59 0 -78 44 -92 81l-29 75l-36 -62c-26 -44 -64 -94 -130 -94 c-50 0 -78 28 -78 60s20 58 60 58c47 0 31 -45 49 -45c11 0 21 15 49 59l61 97l-33 91c-21 57 -41 91 -80 91c-7 0 -14 0 -52 -15l-8 24l153 50c59 -34 80 -82 89 -109"],119962:[462,205,519,35,522,"330 128h1c20 29 43 68 61 102c21 39 46 92 46 107c0 30 -46 12 -46 71c0 19 27 54 60 54c46 0 70 -22 70 -75c0 -78 -155 -336 -196 -397c-69 -103 -128 -195 -213 -195c-56 0 -76 34 -77 58s8 66 60 66c42 0 39 -49 54 -49c13 0 66 69 86 118l-53 317 c-8 47 -17 106 -50 106c-5 0 -24 -3 -51 -8l-4 24l170 33c25 -21 49 -93 56 -142"],119963:[462,19,531,35,499,"499 452l-318 -337l1 -1c13 3 26 4 39 4c77 0 113 -107 144 -107c13 0 18 7 18 19c0 16 -20 26 -20 52c0 31 25 59 57 59c33 0 61 -28 61 -61c0 -76 -70 -99 -135 -99c-67 0 -133 24 -200 24c-33 0 -63 -7 -93 -19l-18 25l321 340h-165c-46 0 -59 -7 -74 -51l-24 3 l46 159h360v-10"],120604:[685,0,759,39,724,"724 23l-2 -23h-319l4 23h31c33 0 51 17 51 45c0 10 -1 28 -2 34l-15 108h-159l-80 -139c-2 -4 -6 -13 -6 -22c0 -19 9 -26 22 -26h56l-6 -23h-260l4 23c45 5 74 17 108 75l346 587h49l94 -624c4 -24 20 -38 47 -38h37zM466 256l-23 178l-103 -178h126"],120605:[669,0,726,42,715,"197 669h265c124 0 253 -22 253 -152c0 -74 -43 -120 -100 -147c-18 -9 -43 -18 -64 -24c58 -11 130 -60 130 -133c0 -126 -89 -213 -299 -213h-340l4 23h40c60 0 74 23 83 62l116 502c2 8 2 16 2 22c-2 24 -11 37 -56 37h-37zM440 624l-58 -251c12 -2 21 -2 32 -2 c14 0 28 1 40 4c74 16 109 76 109 150c0 35 -10 99 -74 99h-49zM373 324l-64 -274c19 -4 34 -5 52 -5c87 0 165 68 165 176c0 76 -53 103 -122 103h-31"],120606:[669,0,634,42,749,"749 669l-43 -184h-23c4 19 5 36 5 50c0 66 -49 89 -94 89h-155l-125 -542c-2 -10 -3 -18 -3 -25c0 -25 17 -34 59 -34h52l-5 -23h-375l4 23h36c61 0 76 22 85 61l115 503c2 10 3 29 3 37c-1 20 -17 22 -56 22h-38l3 23h555"],120607:[685,0,632,32,589,"589 0h-557l405 685h48zM427 102l-44 332l-192 -332h236"],120608:[669,0,732,42,754,"754 669l-40 -168h-23c3 17 3 28 3 38c-1 73 -75 85 -121 85h-135l-55 -239h55c56 0 116 9 137 95h22l-54 -251h-23c3 12 6 47 6 65c0 43 -56 46 -85 46h-69l-58 -258c-1 -6 -2 -13 -2 -17c0 -14 11 -20 42 -20h65c146 0 220 42 262 161h22l-61 -206h-600l4 23h36 c59 0 76 22 85 61l115 504c1 6 2 11 2 16c0 27 -17 42 -59 42h-37l4 23h562"],120609:[669,0,797,66,830,"830 669l-548 -623h194c91 0 189 11 223 141h23l-44 -187h-612l555 624h-177c-87 0 -183 -4 -232 -121h-23l46 166h595"],120610:[669,0,891,42,946,"946 669l-5 -23h-37c-61 0 -75 -21 -84 -61l-114 -503c-2 -7 -6 -14 -6 -22v-3c1 -24 10 -34 58 -34h41l-5 -23h-349l4 23h23c61 0 78 22 87 61l57 251h-242l-59 -253c-1 -8 -4 -15 -4 -23c2 -27 14 -36 60 -36h25l-5 -23h-349l4 23h36c61 0 77 22 86 61l115 503 c2 8 3 14 3 21c0 23 -15 38 -57 38h-40l6 23h348l-3 -23h-25c-63 0 -76 -21 -85 -60l-46 -203h242l47 204c2 8 3 16 3 23c0 23 -14 36 -60 36h-37l3 23h364"],120611:[685,16,783,55,755,"533 440h23c-31 -67 -43 -126 -43 -199h-23v15c0 26 -10 41 -30 41h-115c-29 0 -38 -5 -64 -56h-23c33 64 45 125 45 199h22c0 -45 12 -57 39 -57h116c23 0 34 12 53 57zM755 430c0 -228 -195 -446 -429 -446c-177 0 -271 118 -271 261c0 196 166 440 428 440 c178 0 272 -126 272 -255zM601 465c0 88 -36 173 -129 173c-184 0 -262 -289 -262 -433c0 -91 36 -174 126 -174c168 0 265 277 265 434"],120612:[669,0,502,42,557,"557 669l-4 -23h-38c-61 0 -76 -22 -85 -61l-116 -503c-1 -5 -1 -14 -1 -25c1 -23 12 -34 58 -34h37l-4 -23h-362l4 23h38c61 0 74 22 83 61l115 502c2 8 3 15 3 21c0 24 -15 39 -57 39h-37l4 23h362"],120613:[669,0,795,42,839,"839 669l-4 -23c-56 0 -88 -25 -135 -63l-248 -201l191 -284c47 -69 76 -75 135 -75l-4 -23h-328l4 23h29c21 0 29 8 29 22c0 16 -11 33 -16 40l-138 208l-48 -211c-1 -5 -1 -14 -1 -21c1 -27 13 -38 58 -38h38l-5 -23h-354l5 23h30c63 0 73 22 82 61l115 503 c2 8 4 16 4 23c0 23 -15 36 -58 36h-37l4 23h347l-6 -23h-27c-58 0 -72 -26 -81 -64l-40 -178h2l243 198c9 8 15 16 15 23c0 11 -11 21 -31 21h-24l4 23h250"],120614:[685,0,759,39,724,"724 23l-2 -23h-319l4 23h31c33 0 51 17 51 45c0 10 -1 28 -2 34l-44 332l-210 -363c-2 -4 -6 -13 -6 -22c0 -19 9 -26 22 -26h56l-6 -23h-260l4 23c45 5 74 17 108 75l346 587h49l94 -624c4 -24 20 -38 47 -38h37"],120615:[669,0,1016,42,1071,"1071 669l-3 -23h-34c-66 0 -80 -25 -89 -65l-115 -499c-2 -7 -3 -14 -3 -20c0 -25 16 -39 59 -39h39l-4 -23h-362l4 23h35c63 0 76 24 85 61l82 354h-1l-283 -438h-56l-90 441l-80 -348c-2 -10 -3 -27 -3 -40c2 -22 10 -30 55 -30h38l-3 -23h-300l4 23h36 c62 0 78 27 88 72l111 486c3 9 4 26 4 33c0 23 -16 32 -58 32h-39l4 23h246l91 -468l297 468h245"],120616:[669,0,869,42,924,"924 669l-3 -23h-38c-61 0 -78 -22 -87 -64l-131 -582h-57l-263 491l-92 -409c-1 -6 -2 -11 -2 -18v-8c1 -23 12 -33 57 -33h39l-4 -23h-301l4 23h36c61 0 76 22 85 61l117 510c-17 43 -47 52 -71 52h-38l3 23h232l222 -435l80 350c2 7 2 14 2 20c0 24 -11 42 -57 42h-37 l4 23h300"],120617:[669,0,718,57,757,"757 669l-38 -182h-23c3 11 4 21 4 30c0 30 -15 46 -53 46h-337c-42 0 -82 -26 -93 -76h-23l38 182h525zM635 459l-51 -239h-23c3 12 4 22 4 31c-1 26 -18 36 -45 36h-204c-57 0 -63 -19 -74 -67h-23l51 239h23c-3 -13 -5 -23 -5 -32c0 -27 15 -34 49 -34h203 c39 0 60 13 72 66h23zM663 187l-39 -187h-567l39 187h23c-2 -8 -4 -18 -4 -25c0 -39 28 -50 71 -50h349c69 0 92 16 105 75h23"],120618:[685,16,777,55,755,"755 432c0 -237 -195 -448 -429 -448c-177 0 -271 120 -271 263c0 210 166 438 428 438c178 0 272 -124 272 -253zM601 467c0 88 -36 171 -129 171c-184 0 -262 -287 -262 -431c0 -91 36 -176 126 -176c168 0 265 279 265 436"],120619:[669,0,887,39,942,"942 669l-5 -23h-37c-61 0 -75 -20 -84 -60l-115 -504c-2 -10 -4 -19 -4 -26c0 -23 13 -33 58 -33h40l-5 -23h-349l5 23h22c60 0 75 11 86 61l123 540h-242l-124 -542c-2 -10 -3 -19 -3 -26c0 -31 23 -33 59 -33h25l-5 -23h-348l5 23h35c58 0 75 19 85 61l115 504 c2 10 2 29 3 36c0 10 -18 22 -57 22h-40l5 23h752"],120620:[669,0,612,42,733,"198 669h284c166 0 251 -45 251 -163c0 -97 -82 -206 -297 -206c-24 0 -46 0 -67 3l-51 -221c-1 -5 -4 -16 -4 -24c2 -27 13 -35 60 -35h52l-4 -23h-380l4 23h40c62 0 76 22 85 61l115 504c2 8 3 13 3 21c-1 24 -14 37 -60 37h-37zM441 623l-61 -273c13 -3 28 -5 40 -5 c91 0 157 72 157 176c0 52 -28 103 -106 103c-10 0 -21 0 -30 -1"],120621:[685,16,783,55,755,"755 430c0 -228 -195 -446 -429 -446c-177 0 -271 118 -271 261c0 196 166 440 428 440c178 0 272 -126 272 -255zM237 383h356c5 29 8 57 8 82c0 88 -36 173 -129 173c-122 0 -198 -128 -235 -255zM574 297h-356c-6 -34 -8 -66 -8 -92c0 -91 36 -174 126 -174 c116 0 198 132 238 266"],120622:[669,0,759,64,787,"787 669l-39 -168h-23c3 17 3 33 3 50c0 66 -55 73 -108 73h-212l159 -250l-286 -266h270c82 0 122 19 161 92h25l-76 -200h-597l372 338l-217 331h568"],120623:[669,0,568,28,700,"700 669l-44 -187h-24c6 18 7 40 7 54c0 62 -45 88 -111 88h-78l-123 -541c-1 -6 -4 -15 -4 -25c1 -24 11 -35 57 -35h42l-3 -23h-368l4 23h40c62 0 76 22 85 61l124 540h-75c-100 0 -160 -54 -179 -142h-22l43 187h629"],120624:[685,0,641,31,784,"784 629l-20 -22c-11 10 -28 24 -44 24c-47 0 -143 -130 -174 -167l-121 -145l-54 -233c-2 -9 -4 -19 -4 -29c0 -34 31 -34 57 -34h40l-6 -23h-361l8 23h36c39 0 66 6 78 57l59 248l-74 190c-14 37 -43 96 -89 96c-26 0 -44 -12 -64 -27l-20 21c42 53 82 77 151 77 c66 0 123 -37 145 -100l67 -192l157 189c36 43 94 95 154 95c27 0 66 -26 79 -48"],120625:[669,0,827,28,799,"546 587l-5 -24c124 0 258 -48 258 -173c0 -202 -243 -286 -364 -286h-1l-7 -32c-1 -6 -1 -15 -1 -19c0 -22 16 -30 52 -30h47l-5 -23h-365l6 23c76 0 108 6 116 44l8 37c-134 0 -257 59 -257 189c0 189 211 270 363 270l10 44c1 2 1 5 1 7c0 18 -22 32 -58 32h-41l5 23 h364l-5 -23h-41c-56 0 -72 -23 -80 -59zM529 517l-85 -366c79 0 192 109 192 229c0 71 -40 137 -107 137zM298 151l85 366c-89 0 -197 -132 -197 -232c0 -78 45 -134 112 -134"],120626:[669,0,808,28,830,"830 669l-3 -23h-24c-63 0 -82 -34 -116 -74l-177 -212l98 -270c15 -40 28 -67 62 -67h36l-4 -23h-316l3 23h28c33 0 49 12 49 36c0 8 -1 17 -5 27l-63 171l-154 -179c-6 -7 -8 -15 -8 -22c0 -18 15 -33 39 -33h42l-4 -23h-285l4 23c60 7 104 33 142 77l198 229l-89 237 c-12 33 -33 80 -84 80h-27l4 23h318l-4 -23h-39c-23 0 -34 -9 -34 -27c0 -9 4 -20 8 -32l53 -155l137 162c6 7 10 17 10 27c0 14 -8 25 -28 25h-31l4 23h260"],120627:[685,0,694,30,781,"781 684l-5 -23c-53 0 -68 -88 -77 -127c-12 -52 -24 -113 -55 -158c-59 -86 -156 -112 -255 -112l-39 -171c-3 -12 -6 -24 -6 -36c0 -31 49 -34 80 -34h17l-5 -23h-362l5 23h23c60 0 87 10 101 72l39 169c-88 0 -210 42 -210 147c0 65 37 123 37 188c0 23 -11 62 -39 63 l5 23h33c86 0 126 -61 126 -141c0 -35 -7 -69 -17 -102c-6 -20 -13 -41 -13 -63c0 -51 45 -66 89 -68l62 271c2 7 3 14 3 21c0 39 -39 44 -72 44c-9 0 -18 0 -25 -1l6 23h362l-6 -23c-57 0 -104 3 -120 -64l-63 -271c60 0 101 32 124 85c21 47 24 100 41 149 c32 88 85 139 183 139h33"],120628:[685,0,826,57,815,"300 92l6 31c-100 18 -158 89 -158 185c0 158 143 377 401 377c181 0 266 -109 266 -247c0 -159 -126 -279 -275 -315l-9 -31h153c31 0 50 28 63 75h23l-38 -167h-305l42 153c110 24 189 182 189 310c0 84 -36 174 -120 174c-130 0 -231 -194 -231 -345 c0 -71 25 -124 83 -139l-28 -153h-305l38 167h23c-3 -15 -5 -28 -5 -38c0 -27 10 -37 41 -37h146"],120629:[669,16,632,43,600,"600 669l-405 -685h-48l-104 685h557zM441 567h-236l44 -332"],120630:[461,12,624,44,630,"630 449l-163 -258s-1 -6 -1 -12c0 -8 0 -17 1 -23c7 -80 27 -98 41 -98c21 0 43 26 58 76l24 -7c-19 -77 -56 -139 -121 -139c-46 0 -82 41 -89 79c-56 -60 -112 -77 -181 -77c-93 0 -155 57 -155 168c0 149 114 303 276 303c77 0 120 -49 136 -99l49 87h125zM369 280 c0 70 -15 141 -62 141c-49 0 -147 -116 -147 -278c0 -59 18 -116 57 -116c53 0 119 106 146 178c4 22 6 48 6 75"],120631:[685,205,555,28,583,"54 -114l114 487c33 143 84 216 165 274c39 28 72 38 129 38c67 0 121 -50 121 -118c0 -76 -46 -146 -113 -173v-2c45 -7 88 -41 88 -126c0 -123 -89 -278 -262 -278c-33 0 -74 4 -97 18l-28 -124c-7 -32 -17 -66 -26 -87h-117c9 21 19 61 26 91zM304 480l-87 -393 c0 -44 35 -59 67 -59c90 0 156 131 156 227c0 106 -34 117 -52 117c-17 0 -30 -6 -45 -6c-27 0 -33 14 -33 25c0 16 16 36 56 36c13 0 49 -11 58 -11c38 0 56 82 56 132c0 56 -29 85 -62 85c-67 0 -93 -57 -114 -153"],120632:[462,203,490,44,503,"503 449l-264 -401c0 -77 -19 -251 -113 -251c-44 0 -57 39 -57 61c0 58 53 122 91 185c10 73 13 153 13 208c0 41 -8 141 -45 141c-18 0 -42 -14 -61 -81h-23c18 67 54 151 121 151c71 0 84 -65 84 -135c0 -33 -4 -92 -7 -125l135 247h126"],120633:[685,8,538,44,538,"44 169v1c0 114 95 238 237 261c-55 28 -104 73 -104 124c0 91 98 130 192 130c53 0 142 -20 142 -63c0 -29 -11 -62 -59 -62c-70 0 -64 81 -132 81c-26 0 -68 -4 -68 -56c0 -90 286 -109 286 -295c0 -169 -143 -298 -308 -298c-117 0 -186 67 -186 177zM422 259 c0 82 -77 134 -107 134c-93 -23 -155 -124 -155 -238c0 -95 27 -123 88 -123c95 0 174 139 174 227"],120634:[462,10,495,28,451,"451 389l-18 -7c-17 20 -34 40 -103 40s-127 -48 -127 -108c0 -32 24 -51 60 -51c13 0 45 9 74 9c19 0 47 -4 47 -22c0 -23 -17 -37 -65 -37c-11 0 -42 6 -59 6c-43 0 -116 -39 -116 -109c0 -52 47 -75 101 -75c59 0 97 22 151 79l18 -8c-51 -64 -122 -116 -224 -116 c-99 0 -162 50 -162 108c0 64 43 119 108 142v3c-30 10 -49 42 -49 67c0 78 81 152 227 152c65 0 124 -35 137 -73"],120635:[685,203,472,44,522,"330 685l7 -21c-56 -21 -80 -55 -80 -76c0 -28 19 -38 31 -41c42 37 127 104 186 104c36 0 48 -12 48 -30c0 -49 -105 -129 -199 -129c-90 -60 -173 -178 -173 -313c0 -57 39 -86 100 -86c94 0 156 -30 156 -93c0 -47 -28 -97 -74 -138c-34 -30 -85 -65 -121 -65 c-53 0 -77 32 -77 63c0 21 6 54 61 54c46 0 31 -42 62 -42c39 0 73 31 73 80c0 33 -19 46 -62 46c-12 0 -54 -7 -73 -7c-84 0 -151 61 -151 147c0 132 69 247 206 372c-35 5 -74 26 -74 59c0 49 45 96 154 116"],120636:[462,205,517,33,511,"248 356l6 1c33 61 97 105 168 105c69 0 89 -30 89 -75c0 -18 -4 -45 -8 -64l-76 -325c-12 -50 -22 -149 -22 -182c0 -13 1 -9 6 -21h-113c-11 21 -13 34 -13 52c0 41 18 126 100 467c1 5 3 22 3 38c0 27 -13 35 -29 35c-57 0 -140 -168 -166 -277l-26 -110h-115l74 318 c3 13 6 34 6 52c0 17 -8 22 -18 22c-20 0 -42 -22 -61 -45l-20 12c34 52 95 103 161 103c48 0 60 -25 60 -47c0 -21 -2 -32 -6 -59"],120637:[685,11,566,44,555,"555 476c0 -262 -174 -487 -343 -487c-108 0 -168 89 -168 226c0 237 163 471 330 470c109 0 181 -73 181 -209zM184 359h243c8 41 13 89 13 128c0 116 -17 158 -66 158c-80 0 -156 -140 -190 -286zM417 315h-245c-10 -47 -15 -93 -15 -132c0 -111 27 -154 70 -154 c81 0 151 143 190 286"],120638:[462,9,318,55,274,"255 104l19 -12c-32 -57 -82 -101 -152 -101c-51 0 -67 24 -67 56c0 10 1 20 4 31l64 276c3 13 6 29 6 36c0 11 -5 18 -20 18c-9 0 -21 0 -37 -3l-4 23l197 34l-77 -331c-3 -15 -8 -30 -8 -48c0 -13 9 -25 21 -25c20 0 35 23 54 46"],120639:[462,0,560,55,577,"240 294l129 101c34 27 86 67 140 67c42 0 68 -17 68 -50c0 -28 -11 -62 -59 -62c-52 0 -36 46 -72 46c-9 0 -32 -15 -49 -29l-114 -93l112 -199c25 -44 51 -52 103 -52l-5 -23h-269l5 23h29c16 0 28 2 28 15c0 9 -7 26 -13 36l-60 107l-42 -181h-116l82 363 c3 12 4 21 4 28c0 15 -12 17 -26 17c-10 0 -21 -1 -32 -3l-3 23l196 34"],120640:[685,16,570,55,537,"514 130h23c-15 -73 -54 -146 -128 -146c-48 0 -69 48 -69 117c0 48 10 98 19 174l-192 -275h-112l302 435v50c0 95 -24 130 -55 130c-22 0 -45 -27 -60 -77h-23c20 74 55 147 125 147c52 0 55 -71 55 -146v-387c0 -79 32 -98 55 -98c21 0 45 26 60 76"],120641:[449,205,636,33,603,"583 83l20 -12c-37 -66 -84 -103 -161 -103c-42 0 -57 31 -57 61c0 26 9 56 16 78l-3 1c-29 -55 -87 -110 -135 -110c-29 0 -43 8 -55 27h-2c-34 -132 -46 -193 -70 -230h-103c14 23 32 72 48 138l122 516h113l-74 -316c-2 -8 -3 -16 -3 -23c1 -29 11 -37 40 -37 c69 0 151 156 186 294l21 82h111l-79 -338c-4 -16 -7 -30 -7 -44c0 -18 5 -31 19 -31c18 0 39 26 53 47"],120642:[459,10,523,55,534,"510 455l24 -7c-44 -181 -167 -325 -291 -458h-52l-58 378c-4 28 -37 34 -76 34l-2 23c44 2 103 6 182 34l45 -315h1c146 142 197 246 227 311"],120643:[685,203,476,28,487,"332 685l6 -23c-64 -26 -79 -53 -79 -73c0 -21 15 -29 16 -32c40 37 112 74 158 74c26 0 54 -5 54 -29c0 -57 -90 -91 -175 -91c-46 0 -66 -40 -66 -78c0 -17 5 -29 14 -43c40 23 94 39 134 39c33 0 74 -3 74 -31c0 -62 -102 -69 -140 -69c-20 0 -44 3 -64 8 c-65 -28 -134 -86 -134 -172c0 -53 29 -71 100 -71c127 0 187 -25 187 -94c0 -47 -28 -97 -67 -134c-35 -33 -85 -69 -128 -69c-53 0 -77 32 -77 65c0 30 19 52 59 52c47 0 36 -43 65 -43c43 0 72 40 72 82c0 33 -20 45 -61 45c-20 0 -48 -7 -70 -7c-105 0 -182 34 -182 121 c0 103 74 185 174 249c-22 21 -28 41 -28 75c0 29 29 70 59 85v3c-31 4 -53 27 -53 56c0 51 49 85 152 105"],120644:[462,10,561,44,539,"539 297c0 -186 -144 -307 -308 -307c-118 0 -187 71 -187 180c0 172 139 292 295 292c118 0 200 -58 200 -165zM423 300c0 91 -43 122 -89 122c-88 0 -174 -151 -174 -264c0 -97 28 -128 88 -128c92 0 175 142 175 270"],120645:[449,13,579,39,590,"590 449l-21 -91h-113c-17 -47 -53 -171 -53 -234c0 -25 10 -61 34 -61c16 0 42 12 65 71l24 -6c-15 -65 -75 -135 -157 -135c-56 0 -73 41 -73 83c0 22 4 45 7 61c16 75 40 140 62 221h-61c-44 -119 -64 -371 -194 -371c-44 0 -71 17 -71 51c0 23 9 39 42 51 c31 11 48 39 58 68l71 201c-40 0 -81 -6 -118 -54h-23c54 95 110 145 223 145h298"],120646:[462,205,595,33,562,"58 -110l62 267c34 145 101 230 162 270c35 23 81 35 115 35c78 0 165 -50 165 -180c0 -164 -141 -294 -274 -294c-30 0 -66 7 -87 19l-25 -110c-6 -28 -18 -77 -28 -102h-115c8 21 19 69 25 95zM252 240l-33 -152c1 -43 34 -60 68 -60c72 0 161 133 161 253 c0 93 -31 131 -76 131c-55 0 -101 -82 -120 -172"],120647:[462,203,480,39,508,"508 388c0 -24 -22 -53 -56 -53c-56 0 -49 47 -97 47c-102 0 -214 -98 -214 -217c0 -53 29 -71 100 -71c127 0 187 -25 187 -94c0 -47 -28 -106 -67 -143c-35 -33 -85 -60 -128 -60c-53 0 -77 32 -77 65c0 30 19 52 59 52c47 0 36 -43 65 -43c43 0 72 40 72 82 c0 33 -20 45 -61 45c-20 0 -48 -7 -70 -7c-105 0 -182 34 -182 121c0 103 75 213 174 279c54 36 128 71 192 71c60 0 103 -27 103 -74"],120648:[449,10,592,44,603,"603 449l-21 -91h-176c24 -54 101 -50 101 -147c0 -120 -126 -221 -275 -221c-120 0 -188 68 -188 177c0 139 112 282 311 282h248zM391 207v1c0 81 -24 118 -59 150c-82 0 -172 -70 -172 -203c0 -97 29 -125 88 -125c81 0 143 94 143 177"],120649:[449,7,469,33,502,"502 449l-21 -91h-149l-53 -188c-5 -18 -8 -38 -8 -56c0 -28 9 -51 32 -51c16 0 42 12 67 71l22 -6c-14 -65 -79 -135 -149 -135c-45 0 -89 18 -89 70c0 34 6 71 15 100l59 195h-32c-43 0 -109 -29 -140 -89h-23c25 67 107 180 214 180h255"],120650:[462,10,552,33,535,"303 423l5 39c127 0 227 -51 227 -174c0 -171 -151 -298 -291 -298c-93 0 -168 33 -168 109c0 11 4 37 12 71l29 125c5 22 12 49 12 66c0 16 -3 27 -17 27c-20 0 -41 -22 -59 -45l-20 12c32 52 90 103 160 103c40 0 59 -22 59 -48c0 -13 -5 -45 -10 -67l-40 -172 c-5 -22 -9 -44 -9 -64c0 -44 16 -77 67 -77c93 0 176 135 176 260c0 105 -65 133 -133 133"],120651:[462,205,706,55,667,"259 30l27 122c29 133 60 192 144 260c17 14 70 42 99 42c75 0 138 -62 138 -163c0 -144 -110 -290 -302 -301l-44 -195h-117l45 195c-126 10 -194 87 -194 188c0 162 138 284 297 284h41l-10 -39c-112 0 -212 -133 -212 -253c0 -70 34 -131 88 -140zM424 241l-49 -211 c78 7 176 122 176 267c0 88 -16 107 -39 107c-50 0 -76 -112 -88 -163"],120652:[462,204,621,33,676,"676 449l-293 -360l13 -121c8 -72 24 -102 44 -102c24 0 52 19 67 79h23c-21 -93 -52 -149 -117 -149c-64 0 -71 80 -74 161l-3 89l-182 -230h-121l302 363l-6 83c-7 99 -27 130 -60 130c-21 0 -54 -25 -67 -76h-23c8 62 36 146 121 146c54 0 73 -53 77 -157l3 -86 l177 230h119"],120653:[462,205,701,33,756,"756 462l-5 -39c-78 -7 -106 -71 -123 -142c-33 -141 -87 -291 -279 -291l-44 -195h-116l44 195c-103 8 -168 63 -168 169c0 61 42 125 40 193c-1 40 -25 64 -72 71l7 39h49c92 0 124 -54 124 -115c0 -68 -32 -132 -32 -198s24 -112 61 -119l98 419h116l-98 -419 c78 0 132 151 156 253c22 92 58 179 193 179h49"],120654:[462,10,687,22,665,"441 462h39c116 0 185 -76 185 -177c0 -155 -123 -295 -244 -295c-57 0 -87 28 -104 65c-40 -47 -89 -65 -144 -65c-106 0 -151 84 -151 176c0 91 52 189 130 243c49 34 104 53 173 53h32l-10 -39c-42 0 -82 -22 -112 -47c-64 -54 -97 -155 -97 -249c0 -48 24 -97 60 -97 c31 0 71 30 89 90c-6 28 -10 55 -10 84c0 70 31 168 107 168c42 0 52 -36 52 -71c0 -62 -42 -131 -74 -179c-1 -5 -2 -13 -2 -18c0 -49 34 -74 66 -74c71 0 123 162 123 247c0 91 -35 146 -116 146"],120655:[686,10,559,44,559,"234 627l2 23c30 25 79 36 119 36c130 0 204 -80 204 -256c0 -171 -103 -440 -328 -440c-120 0 -187 66 -187 176c0 159 139 293 298 293c50 0 115 -24 133 -70h4v8c1 9 2 18 2 27c0 114 -20 221 -154 221c-26 0 -58 -8 -93 -18zM423 293c0 91 -43 126 -89 126 c-88 0 -174 -152 -174 -265c0 -97 28 -124 88 -124c92 0 175 135 175 263"],120656:[461,10,481,44,481,"481 461l-26 -140h-23c0 54 -6 103 -89 103c-73 0 -141 -88 -163 -161h188l-10 -44h-188c-7 -21 -10 -43 -10 -66c0 -79 40 -118 101 -118c67 0 113 36 152 79l18 -6c-30 -40 -89 -118 -223 -118c-116 0 -164 76 -164 158c0 150 128 313 283 313c70 0 76 -19 98 -19 c10 0 28 5 33 19h23"],120657:[698,13,607,33,584,"584 241l-5 -31c-22 1 -45 2 -67 6c-41 -105 -104 -229 -234 -229c-87 0 -160 28 -160 128c0 35 11 72 16 107v4c0 10 -5 23 -17 23c-22 0 -51 -33 -64 -49l-20 18c31 47 93 99 152 99c47 0 66 -41 66 -82c0 -11 -2 -21 -4 -31c-9 -40 -19 -79 -19 -120 c0 -33 9 -68 50 -68c67 0 114 175 128 228c-104 50 -204 126 -204 252c0 115 76 202 194 202c32 0 66 -10 94 -26c67 -39 80 -119 80 -190c0 -78 -19 -155 -44 -228c19 -6 38 -11 58 -13zM454 541c0 40 -4 119 -60 119c-64 0 -80 -98 -80 -146c0 -83 46 -160 105 -215 c19 79 35 160 35 242"],120658:[462,15,607,-12,630,"630 449l-154 -146c-12 -24 -23 -55 -33 -92c-9 -33 -13 -59 -13 -78c0 -24 12 -36 36 -36c20 0 36 -6 46 -18c8 -9 11 -20 11 -33c0 -17 -6 -32 -17 -43c-12 -12 -29 -18 -52 -18c-29 0 -51 12 -65 36c-11 18 -16 41 -16 69c0 55 13 105 39 153l-260 -243h-164l157 147 c12 24 23 55 33 91c9 33 13 58 13 76c0 24 -12 36 -36 36c-20 0 -35 6 -45 18c-8 9 -12 20 -12 33c0 17 6 31 17 42c12 12 30 19 52 19c29 0 51 -12 65 -36c11 -18 16 -42 16 -69c0 -52 -13 -102 -38 -150l256 242h164"],120659:[685,205,683,44,655,"512 685l-51 -223c106 0 194 -55 194 -169c0 -44 -10 -87 -29 -127c-51 -109 -154 -169 -273 -176l-44 -195h-117l45 195c-110 8 -193 73 -193 188c0 44 12 87 32 126c54 102 155 158 269 158l50 223h117zM453 423l-90 -393c84 17 154 123 171 202c4 17 5 35 5 53 c0 55 -24 128 -86 138zM247 30l90 393c-103 -16 -177 -151 -177 -248c0 -59 21 -131 87 -145"],120660:[462,205,585,44,563,"252 -205h-19c3 7 3 13 3 15c0 59 -192 76 -192 220c0 195 125 432 326 432c115 0 193 -55 193 -168c0 -159 -133 -304 -297 -304c-57 0 -101 18 -131 61l-5 -1c1 -109 150 -112 150 -184c0 -23 -3 -48 -28 -71zM448 297c0 91 -43 125 -89 125c-88 0 -174 -157 -174 -270 c0 -97 28 -122 88 -122c92 0 175 139 175 267"],120661:[449,10,868,33,879,"879 449l-21 -91h-73c10 -22 15 -47 15 -75c0 -155 -123 -293 -244 -293c-57 0 -87 28 -104 65c-40 -47 -89 -65 -144 -65c-106 0 -151 84 -151 176c0 70 29 138 78 192h-36c-59 0 -108 -28 -143 -91h-23c23 81 84 182 248 182h598zM668 358h-312 c-54 -56 -83 -145 -83 -231c0 -48 24 -97 60 -97c31 0 69 27 87 87c-3 17 -6 39 -6 57c0 36 16 160 95 160c36 0 44 -33 44 -68c0 -59 -24 -96 -56 -144c-1 -5 -2 -13 -2 -18c0 -49 34 -74 66 -74c71 0 123 160 123 245c0 34 -5 61 -16 83"]};MathJax.Ajax.loadComplete(MathJax.OutputJax.SVG.fontDir+"/Normal/BoldItalic/Main.js");
+MathJax.OutputJax.SVG.FONTDATA.FONTS["STIXMathJax_Normal-bold-italic"]={directory:"Normal/BoldItalic",family:"STIXMathJax_Normal",weight:"bold",style:"italic",id:"STIXWEBNORMALBI",skew:{119912:0.16,119913:0.14,119914:0.12,119915:0.1,119916:0.1,119917:0.1,119918:0.12,119919:0.1,119920:0.1,119921:0.1,119922:0.1,119923:0.05,119924:0.08,119925:0.08,119926:0.12,119927:0.05,119928:0.12,119929:0.1,119930:0.12,119933:-0.05,119934:-0.09,119935:0.12,119936:-0.05,119937:0.1,119938:0.09,119939:0.03,119940:0.09,119941:0.22,119942:0.09,119943:0.19,119944:0.08,119946:0.1,119947:0.16,119949:0.09,119950:0.09,119951:0.05,119952:0.09,119953:0.09,119954:0.1,119955:0.07,119956:0.07,119957:0.09,119958:0.05,119959:0.08,119960:0.1,119961:0.05,119962:0.1,119963:0.07,120604:0.16,120605:0.14,120606:0.09,120607:0.16,120608:0.14,120609:0.14,120610:0.1,120611:0.12,120612:0.1,120613:0.12,120614:0.16,120615:0.11,120616:0.1,120617:0.14,120618:0.14,120619:0.12,120620:0.08,120621:0.14,120622:0.14,120625:0.12,120626:0.14,120628:0.16,120629:0.05,120630:0.05,120631:0.1,120632:0.05,120633:0.12,120634:0.07,120635:0.09,120636:0.07,120637:0.1,120638:0.05,120640:0.07,120641:0.1,120642:0.07,120643:0.12,120644:0.08,120645:0.08,120646:0.1,120647:0.1,120648:0.05,120649:0.05,120650:0.05,120651:0.05,120652:0.09,120654:0.05,120656:0.1,120657:0.1,120658:0.05,120659:0.12,120660:0.1,120661:0.09,},32:[0,0,250,0,0,""],160:[0,0,250,0,0,""],119912:[685,0,759,39,724,"724 23l-2 -23h-319l4 23h31c33 0 51 17 51 45c0 10 -1 28 -2 34l-15 108h-159l-80 -139c-2 -4 -6 -13 -6 -22c0 -19 9 -26 22 -26h56l-6 -23h-260l4 23c45 5 74 17 108 75l346 587h49l94 -624c4 -24 20 -38 47 -38h37zM466 256l-23 178l-103 -178h126"],119913:[669,0,726,42,715,"197 669h265c124 0 253 -22 253 -152c0 -74 -43 -120 -100 -147c-18 -9 -43 -18 -64 -24c58 -11 130 -60 130 -133c0 -126 -89 -213 -299 -213h-340l4 23h40c60 0 74 23 83 62l116 502c2 8 2 16 2 22c-2 24 -11 37 -56 37h-37zM440 624l-58 -251c12 -2 21 -2 32 -2 c14 0 28 1 40 4c74 16 109 76 109 150c0 35 -10 99 -74 99h-49zM373 324l-64 -274c19 -4 34 -5 52 -5c87 0 165 68 165 176c0 76 -53 103 -122 103h-31"],119914:[685,12,701,55,745,"745 685l-54 -234h-23c1 10 2 20 2 30c0 80 -45 157 -161 157c-183 0 -296 -200 -296 -375c0 -114 52 -218 173 -218c107 0 193 37 245 114l22 -15c-24 -39 -58 -70 -93 -96c-74 -54 -164 -60 -202 -60c-207 0 -303 119 -303 288c0 103 44 213 128 292 c79 74 188 117 311 117c61 0 129 -28 172 -28c9 0 40 0 57 28h22"],119915:[669,0,818,42,790,"197 669h289c214 0 304 -130 304 -275c0 -98 -38 -203 -116 -279c-72 -71 -177 -115 -309 -115h-323l4 23h37c59 0 76 21 85 60l116 504c2 8 3 16 3 23c0 22 -12 36 -57 36h-37zM440 624l-117 -508c-6 -24 -7 -29 -7 -32c2 -37 43 -39 78 -39c181 0 241 199 241 347 c0 90 -25 232 -140 232h-55"],119916:[669,0,732,42,754,"754 669l-40 -168h-23c3 17 3 28 3 38c-1 73 -75 85 -121 85h-135l-55 -239h55c56 0 116 9 137 95h22l-54 -251h-23c3 12 6 47 6 65c0 43 -56 46 -85 46h-69l-58 -258c-1 -6 -2 -13 -2 -17c0 -14 11 -20 42 -20h65c146 0 220 42 262 161h22l-61 -206h-600l4 23h36 c59 0 76 22 85 61l115 504c1 6 2 11 2 16c0 27 -17 42 -59 42h-37l4 23h562"],119917:[669,0,635,44,750,"750 669l-42 -168h-23c2 11 3 26 3 41c0 75 -79 82 -123 82h-124l-56 -248h59c57 0 119 8 138 96h24l-57 -253h-23c3 16 7 47 7 66c0 46 -56 46 -84 46h-75l-58 -249c-3 -9 -4 -17 -4 -24c0 -23 16 -35 60 -35h52l-3 -23h-377l4 23h36c62 0 76 22 85 61l116 504 c2 8 3 16 3 23c0 22 -13 35 -60 35h-37l4 23h555"],119918:[685,12,768,55,768,"768 342l-5 -23h-24c-60 0 -78 -19 -89 -61l-59 -218c-89 -43 -171 -52 -234 -52c-207 0 -302 138 -302 290c0 101 41 206 121 283c82 80 199 124 334 124c85 0 102 -33 162 -33c10 0 51 8 57 33h23l-53 -224h-23c4 14 6 27 6 40c0 76 -69 139 -166 139 c-188 0 -303 -212 -303 -398c0 -83 29 -209 156 -209c35 0 58 7 78 20l57 208c3 9 4 16 4 24c-1 23 -10 34 -55 34h-35l5 23h345"],119919:[669,0,891,42,946,"946 669l-5 -23h-37c-61 0 -75 -21 -84 -61l-114 -503c-2 -7 -6 -14 -6 -22v-3c1 -24 10 -34 58 -34h41l-5 -23h-349l4 23h23c61 0 78 22 87 61l57 251h-242l-59 -253c-1 -8 -4 -15 -4 -23c2 -27 14 -36 60 -36h25l-5 -23h-349l4 23h36c61 0 77 22 86 61l115 503 c2 8 3 14 3 21c0 23 -15 38 -57 38h-40l6 23h348l-3 -23h-25c-63 0 -76 -21 -85 -60l-46 -203h242l47 204c2 8 3 16 3 23c0 23 -14 36 -60 36h-37l3 23h364"],119920:[669,0,502,42,557,"557 669l-4 -23h-38c-61 0 -76 -22 -85 -61l-116 -503c-1 -5 -1 -14 -1 -25c1 -23 12 -34 58 -34h37l-4 -23h-362l4 23h38c61 0 74 22 83 61l115 502c2 8 3 15 3 21c0 24 -15 39 -57 39h-37l4 23h362"],119921:[669,12,558,66,646,"646 669l-3 -23h-37c-59 0 -78 -20 -87 -61l-96 -420c-16 -72 -49 -118 -95 -148c-37 -25 -92 -29 -118 -29c-79 0 -144 47 -144 101c0 34 20 78 85 78c41 0 81 -27 81 -58c0 -33 -27 -32 -27 -59c0 -16 15 -18 19 -18c22 0 37 67 43 93l105 463c2 8 3 15 3 22 c0 23 -15 36 -56 36h-38l3 23h362"],119922:[669,0,795,42,839,"839 669l-4 -23c-56 0 -88 -25 -135 -63l-248 -201l191 -284c47 -69 76 -75 135 -75l-4 -23h-328l4 23h29c21 0 29 8 29 22c0 16 -11 33 -16 40l-138 208l-48 -211c-1 -5 -1 -14 -1 -21c1 -27 13 -38 58 -38h38l-5 -23h-354l5 23h30c63 0 73 22 82 61l115 503 c2 8 4 16 4 23c0 23 -15 36 -58 36h-37l4 23h347l-6 -23h-27c-58 0 -72 -26 -81 -64l-40 -178h2l243 198c9 8 15 16 15 23c0 11 -11 21 -31 21h-24l4 23h250"],119923:[669,0,744,42,700,"700 199l-59 -199h-599l4 23h35c65 0 78 22 87 61l116 496c1 5 2 10 2 15c0 26 -18 51 -60 51h-36l4 23h360l-4 -23h-37c-53 0 -71 -23 -82 -70l-115 -492c-1 -5 -3 -13 -3 -16c1 -21 10 -23 21 -23h120c109 0 194 21 223 155"],119924:[669,0,1016,42,1071,"1071 669l-3 -23h-34c-66 0 -80 -25 -89 -65l-115 -499c-2 -7 -3 -14 -3 -20c0 -25 16 -39 59 -39h39l-4 -23h-362l4 23h35c63 0 76 24 85 61l82 354h-1l-283 -438h-56l-90 441l-80 -348c-2 -10 -3 -27 -3 -40c2 -22 10 -30 55 -30h38l-3 -23h-300l4 23h36 c62 0 78 27 88 72l111 486c3 9 4 26 4 33c0 23 -16 32 -58 32h-39l4 23h246l91 -468l297 468h245"],119925:[669,0,869,42,924,"924 669l-3 -23h-38c-61 0 -78 -22 -87 -64l-131 -582h-57l-263 491l-92 -409c-1 -6 -2 -11 -2 -18v-8c1 -23 12 -33 57 -33h39l-4 -23h-301l4 23h36c61 0 76 22 85 61l117 510c-17 43 -47 52 -71 52h-38l3 23h232l222 -435l80 350c2 7 2 14 2 20c0 24 -11 42 -57 42h-37 l4 23h300"],119926:[685,16,777,55,755,"755 432c0 -237 -195 -448 -429 -448c-177 0 -271 120 -271 263c0 210 166 438 428 438c178 0 272 -124 272 -253zM601 467c0 88 -36 171 -129 171c-184 0 -262 -287 -262 -431c0 -91 36 -176 126 -176c168 0 265 279 265 436"],119927:[669,0,612,42,733,"198 669h284c166 0 251 -45 251 -163c0 -97 -82 -206 -297 -206c-24 0 -46 0 -67 3l-51 -221c-1 -5 -4 -16 -4 -24c2 -27 13 -35 60 -35h52l-4 -23h-380l4 23h40c62 0 76 22 85 61l115 504c2 8 3 13 3 21c-1 24 -14 37 -60 37h-37zM441 623l-61 -273c13 -3 28 -5 40 -5 c91 0 157 72 157 176c0 52 -28 103 -106 103c-10 0 -21 0 -30 -1"],119928:[685,154,810,55,755,"97 -112l159 101c-118 19 -201 119 -201 242c0 218 163 454 428 454c158 0 271 -103 272 -254c2 -230 -171 -430 -420 -449l-52 -30c8 1 17 1 23 1c72 0 165 -34 246 -34c34 0 88 2 145 68l17 -13c-57 -73 -132 -128 -258 -128c-56 0 -109 9 -146 17 c-50 11 -103 26 -129 26c-5 0 -30 -1 -72 -21zM601 479c0 114 -76 159 -129 159c-186 0 -262 -290 -262 -452c0 -63 36 -156 115 -156c183 0 276 278 276 449"],119929:[669,0,801,42,784,"784 23l-4 -23h-223l-154 317c-5 0 -9 1 -35 2l-55 -237c-1 -5 -2 -14 -2 -22c2 -27 11 -37 56 -37h39l-4 -23h-360l4 23h36c65 0 75 22 84 61l114 500c2 10 4 19 4 27c0 23 -16 35 -59 35h-37l4 23h284c173 0 235 -72 235 -155c0 -81 -65 -149 -172 -176l115 -231 c23 -46 53 -84 130 -84zM379 364h40c101 0 139 64 139 142c0 82 -38 106 -72 114c-16 3 -25 4 -34 4h-16"],119930:[685,10,671,55,704,"704 682l-50 -219h-23c0 21 0 33 -1 50c-3 66 -73 125 -169 125c-36 0 -100 -21 -100 -84c0 -74 55 -118 113 -162c67 -51 126 -121 126 -210c0 -92 -94 -192 -257 -192c-65 0 -113 14 -157 32c-6 2 -29 9 -41 9c-15 0 -48 -9 -68 -39h-22l59 245h24v-35 c0 -86 63 -163 180 -163c94 0 135 54 135 119c0 41 -17 87 -43 113c-63 63 -194 131 -194 245c0 90 72 169 237 169c90 0 147 -40 179 -40c18 0 44 14 50 37h22"],119931:[669,0,568,28,700,"700 669l-44 -187h-24c6 18 7 40 7 54c0 62 -45 88 -111 88h-78l-123 -541c-1 -6 -4 -15 -4 -25c1 -24 11 -35 57 -35h42l-3 -23h-368l4 23h40c62 0 76 22 85 61l124 540h-75c-100 0 -160 -54 -179 -142h-22l43 187h629"],119932:[669,10,733,72,810,"810 669l-4 -23h-38c-61 0 -77 -18 -86 -60l-80 -359c-6 -25 -14 -55 -31 -92c-30 -65 -95 -145 -249 -145c-171 0 -240 100 -240 194c0 19 7 59 15 95l70 307c1 4 2 9 2 15c0 20 -10 45 -60 45h-37l4 23h363l-4 -23h-39c-65 0 -74 -19 -83 -60l-83 -363 c-4 -17 -7 -49 -7 -67c0 -56 45 -110 127 -110c96 0 145 77 170 187l79 355c2 5 2 16 2 24c-1 24 -13 34 -57 34h-37l4 23h299"],119933:[669,15,593,66,797,"797 669l-4 -23c-69 0 -104 -40 -132 -78l-431 -583h-52l-20 573c0 7 0 14 -1 20c-2 36 -9 68 -66 68h-25l3 23h326l-4 -23h-36c-42 0 -49 -37 -49 -69v-8l8 -350l242 336c18 25 33 52 33 71c0 15 -7 20 -34 20h-37l3 23h276"],119934:[669,17,925,66,1129,"1129 669l-3 -23c-72 0 -109 -49 -137 -87l-425 -576h-53l-21 407l-260 -407h-53l-21 575c-2 64 -12 88 -70 88h-20l3 23h314l-4 -23h-22c-36 0 -56 -16 -55 -78l8 -331l182 278l-3 65c-2 33 -13 66 -59 66h-24l4 23h318l-4 -23h-37c-45 0 -51 -42 -50 -78l5 -354 l242 331c16 22 34 56 34 79c0 17 -7 22 -35 22h-37l3 23h280"],119935:[669,0,808,28,830,"830 669l-3 -23h-24c-63 0 -82 -34 -116 -74l-177 -212l98 -270c15 -40 28 -67 62 -67h36l-4 -23h-316l3 23h28c33 0 49 12 49 36c0 8 -1 17 -5 27l-63 171l-154 -179c-6 -7 -8 -15 -8 -22c0 -18 15 -33 39 -33h42l-4 -23h-285l4 23c60 7 104 33 142 77l198 229l-89 237 c-12 33 -33 80 -84 80h-27l4 23h318l-4 -23h-39c-23 0 -34 -9 -34 -27c0 -9 4 -20 8 -32l53 -155l137 162c6 7 10 17 10 27c0 14 -8 25 -28 25h-31l4 23h260"],119936:[669,0,549,39,725,"725 669l-3 -23c-58 0 -91 -33 -125 -76l-197 -252l-56 -236c-1 -9 -3 -16 -3 -27c0 -17 13 -32 58 -32h39l-4 -23h-362l4 23h37c63 0 75 24 84 61l56 243l-92 238c-20 51 -41 81 -122 81l3 23h331l-4 -23h-35c-33 0 -43 -11 -43 -28c0 -14 8 -36 15 -54l63 -172l150 191 c11 14 11 28 11 37c0 16 -13 26 -51 26h-28l4 23h270"],119937:[669,0,797,66,830,"830 669l-548 -623h194c91 0 189 11 223 141h23l-44 -187h-612l555 624h-177c-87 0 -183 -4 -232 -121h-23l46 166h595"],119938:[462,10,581,44,548,"529 105l19 -12c-36 -63 -79 -103 -155 -103c-35 0 -68 19 -69 70h-6c-47 -49 -99 -70 -146 -70c-71 0 -128 36 -128 122c0 139 116 350 281 350c55 0 82 -34 84 -64h2l11 51h115l-74 -316c-2 -7 -6 -28 -6 -45s4 -31 16 -31c19 0 35 21 56 48zM382 324 c0 64 -20 98 -54 98c-71 0 -168 -155 -168 -297c0 -55 27 -65 45 -65c70 0 177 153 177 264"],119939:[685,8,509,50,487,"263 429l7 -1c26 17 56 31 93 31c92 0 124 -63 124 -163c0 -128 -101 -304 -273 -304c-58 0 -117 21 -164 55l127 563c1 5 2 10 2 14c0 11 -4 17 -14 17c-6 0 -15 0 -43 -7l-4 23l198 28zM219 253l-47 -203c3 -17 26 -23 37 -23c99 0 162 171 162 272c0 71 -26 96 -49 96 c-59 0 -92 -95 -103 -142"],119940:[462,10,477,44,460,"412 114l18 -8c-51 -64 -123 -116 -224 -116c-126 0 -162 86 -162 162c0 132 110 310 294 310c72 0 122 -37 122 -82c0 -36 -23 -74 -78 -74c-44 0 -52 29 -52 43c0 36 23 32 23 53c0 15 -6 20 -15 20c-105 0 -178 -180 -178 -267c0 -92 50 -120 101 -120s98 22 151 79"],119941:[685,14,595,44,589,"589 685l-130 -565c-3 -13 -8 -28 -8 -41s6 -24 24 -24s35 23 53 47l19 -11c-19 -46 -78 -105 -159 -105c-42 0 -66 37 -66 69h-5c-60 -62 -120 -69 -141 -69c-90 0 -132 51 -132 126c0 144 94 347 278 347c30 0 65 -8 85 -21l37 152c2 7 4 17 4 26c0 12 -4 22 -17 22 c-11 0 -29 -4 -42 -7l-4 23zM385 346c0 48 -31 73 -60 73c-78 0 -166 -153 -166 -297c0 -50 27 -67 48 -67c53 0 130 88 157 183c10 33 21 77 21 108"],119942:[462,10,498,44,459,"412 114l19 -7c-53 -66 -113 -117 -229 -117c-123 0 -158 88 -158 158c0 20 1 38 6 59c43 174 178 255 286 255c44 0 123 -10 123 -84c0 -119 -181 -188 -295 -197c-4 -10 -4 -15 -4 -23c0 -82 44 -123 102 -123c57 0 91 22 150 79zM358 386c0 26 -8 36 -34 36 c-68 0 -144 -123 -153 -201c80 11 187 94 187 165"],119943:[685,207,572,44,632,"249 449h52c37 0 40 54 70 117c26 54 81 119 167 119c65 0 94 -39 94 -77c0 -35 -19 -73 -60 -73c-43 0 -57 24 -57 49c0 37 20 30 20 51c0 4 -3 7 -10 7c-31 0 -56 -59 -70 -128l-13 -65h80l-12 -47h-79l-88 -387c-6 -27 -19 -66 -38 -104c-27 -52 -81 -118 -167 -118 c-65 0 -94 39 -94 77c0 35 19 73 60 73c43 0 57 -28 57 -53c0 -37 -20 -26 -20 -47c0 -4 3 -7 10 -7c47 0 72 164 86 225l78 341h-79"],119944:[462,203,527,22,527,"527 435l-14 -60h-77c10 -15 13 -31 13 -48c0 -75 -52 -153 -154 -164c-50 -5 -74 -23 -74 -49c0 -53 231 -34 231 -155c0 -69 -68 -162 -229 -162c-145 0 -201 64 -201 118c0 55 54 95 119 118c-15 12 -22 33 -22 51c0 37 32 78 79 87c-68 22 -93 73 -93 115 c0 86 73 176 192 176c46 0 85 -19 98 -31zM334 361c0 38 -10 61 -32 61c-41 0 -79 -76 -79 -147c0 -48 12 -80 35 -80c51 0 76 106 76 166zM346 -81c0 49 -38 67 -90 78c-17 3 -55 11 -77 17l-17 -13c-16 -13 -38 -46 -38 -76c0 -49 36 -92 117 -92c74 0 105 40 105 86"],119945:[685,10,576,50,543,"523 105l20 -11c-37 -63 -82 -104 -153 -104c-26 0 -69 15 -69 46c0 11 2 24 7 46l54 223c2 10 3 26 3 42c0 27 -13 37 -29 37c-57 0 -141 -165 -166 -275l-25 -109h-115l138 599c1 4 2 11 2 15c0 11 -1 15 -11 15c-7 0 -11 -1 -44 -10l-5 28l188 38l-81 -354l2 -1 c33 61 109 129 180 129c69 0 89 -38 89 -83c0 -13 -4 -44 -7 -56l-50 -213c-1 -4 -2 -15 -2 -21c0 -16 5 -28 20 -28c18 0 34 21 54 47"],119946:[620,9,357,55,300,"300 558c0 -30 -27 -62 -66 -62c-37 0 -66 32 -66 62c0 28 29 62 66 62c39 0 66 -34 66 -62zM255 104l19 -12c-32 -57 -82 -101 -152 -101c-51 0 -67 24 -67 56c0 10 1 20 4 31l66 285c3 13 5 20 5 27c0 11 -5 18 -20 18c-9 0 -21 0 -37 -3l-4 23l197 34l-78 -331 c-4 -15 -8 -30 -8 -48c0 -13 9 -25 21 -25c20 0 35 23 54 46"],119947:[620,207,431,-18,414,"414 558c0 -30 -27 -62 -66 -62c-37 0 -66 32 -66 62c0 28 29 62 66 62c39 0 66 -34 66 -62zM384 462l-102 -447c-6 -27 -17 -58 -36 -96c-27 -52 -84 -126 -170 -126c-65 0 -94 39 -94 77c0 35 19 73 60 73c36 0 57 -27 57 -53c0 -34 -21 -31 -21 -45c0 -9 5 -9 10 -9 c32 0 55 81 73 160l84 368c2 9 3 20 3 25c0 11 -5 18 -20 18c-9 0 -21 0 -37 -3l-4 23"],119948:[685,11,580,55,563,"563 449l-6 -19c-72 -9 -95 -30 -132 -66l-95 -94l64 -149c16 -37 32 -57 40 -57c14 0 33 5 51 67h25c0 -20 -37 -142 -120 -142c-61 0 -72 44 -92 82l-64 124l-24 -22l-39 -173h-116l138 601c1 3 2 9 2 16c0 9 -4 13 -11 13c-6 0 -13 -2 -44 -9l-5 27l193 37l-97 -423 l124 111c7 6 24 28 24 43c0 7 -7 12 -17 12h-30l7 21h224"],119949:[685,9,346,50,310,"310 685l-132 -574c-3 -11 -4 -22 -4 -31c1 -6 7 -14 18 -14c18 0 32 11 52 37l19 -15c-24 -38 -85 -97 -153 -97c-32 0 -60 16 -60 46c0 11 1 26 6 47l118 515c1 6 2 11 2 16c0 12 -4 15 -11 15c-9 0 -27 -5 -44 -10l-5 28"],119950:[467,9,760,33,727,"708 106l19 -15c-30 -52 -78 -100 -157 -100c-26 0 -60 17 -61 48c0 21 5 39 11 66l46 202c3 14 9 52 9 60c0 10 0 22 -16 22c-35 0 -134 -183 -148 -249l-29 -140h-119l73 307c4 18 8 53 8 60c-1 13 -4 21 -18 21c-36 0 -129 -183 -144 -248l-32 -140h-117l89 388 c0 20 -4 26 -12 26c-6 0 -13 -1 -45 -9l-5 28l197 34l-27 -111h2c66 91 119 106 153 106c53 0 76 -47 77 -85c0 -7 -1 -14 -2 -19c41 48 89 104 156 104c52 0 75 -35 75 -77c0 -19 -2 -42 -8 -68l-41 -186c-3 -14 -8 -32 -8 -46s5 -24 23 -24c17 0 39 27 51 45"],119951:[467,10,559,33,526,"506 105l20 -11c-37 -63 -82 -104 -153 -104c-46 0 -68 23 -68 58c0 10 3 22 6 34l54 223c2 10 3 31 3 47c0 27 -13 35 -29 35c-57 0 -141 -168 -166 -278l-25 -109h-115l88 384c1 4 2 11 2 15c0 11 -1 15 -11 15c-7 0 -14 0 -47 -9l-5 28l195 34l-27 -111h4 c33 61 99 106 170 106c69 0 89 -36 89 -81c0 -13 -4 -49 -7 -61l-50 -213c-1 -6 -3 -14 -3 -22c0 -14 4 -27 21 -27c18 0 34 21 54 47"],119952:[462,10,561,44,539,"539 297c0 -186 -144 -307 -308 -307c-118 0 -187 71 -187 180c0 172 139 292 295 292c118 0 200 -58 200 -165zM423 300c0 91 -43 122 -89 122c-88 0 -174 -151 -174 -264c0 -97 28 -128 88 -128c92 0 175 142 175 270"],119953:[469,205,571,-33,554,"294 429h5c26 24 61 33 91 33c78 0 164 -42 164 -171c0 -165 -141 -303 -273 -303c-29 0 -68 6 -88 19l-25 -105c-3 -12 -4 -21 -4 -32c0 -26 7 -54 41 -54h36l-7 -21h-267l7 21c56 8 66 43 77 89l103 440c3 15 5 28 5 39c0 20 -7 32 -23 32c-6 0 -14 -1 -25 -4l-6 17 l198 40zM244 241l-33 -154c1 -44 34 -59 67 -59c73 0 162 141 162 261c0 94 -29 123 -77 123c-53 0 -100 -83 -119 -171"],119954:[462,205,526,44,532,"532 449l-129 -561c-2 -7 -5 -18 -5 -27c1 -34 11 -45 32 -45h34l-6 -21h-288l6 21h36c51 0 65 34 74 72l38 168h-1c-41 -57 -122 -66 -153 -66c-81 0 -126 65 -126 136c0 152 105 336 278 336c34 0 70 -13 85 -51h4l10 38h111zM388 345c0 53 -32 77 -61 77 c-90 0 -169 -160 -169 -305c0 -29 8 -70 53 -70c69 0 177 145 177 298"],119955:[467,0,441,33,424,"257 467l-20 -91c29 44 71 86 125 86c42 0 62 -29 62 -55c0 -36 -25 -86 -81 -86c-41 0 -33 38 -49 38c-42 0 -121 -255 -127 -279l-20 -80h-114l88 380c1 8 3 15 3 21c0 12 -9 15 -16 15c-10 0 -19 -3 -41 -11l-3 28"],119956:[462,11,474,55,419,"419 462l-22 -160h-22c-1 73 -50 123 -88 123c-27 0 -46 -13 -46 -55c0 -29 34 -62 68 -102c42 -50 75 -81 75 -149c0 -66 -56 -129 -155 -129c-60 0 -84 21 -110 21c-11 0 -24 -7 -39 -22h-25l22 165h24c2 -71 59 -128 106 -128c46 0 63 39 63 80c0 39 -29 64 -47 85 c-40 47 -91 100 -91 154c0 81 69 117 130 117c56 0 76 -22 93 -22c9 0 30 2 39 22h25"],119957:[592,10,351,44,318,"318 460l-12 -47h-67l-69 -302c-1 -5 -3 -14 -3 -19c0 -19 7 -32 20 -32c18 0 35 17 54 44l20 -10c-31 -58 -88 -104 -151 -104c-37 0 -66 17 -66 61c0 10 1 22 4 33l76 329h-74l8 47c118 0 134 44 167 132h54l-29 -132h68"],119958:[463,10,535,33,502,"482 104l20 -10c-38 -67 -85 -104 -155 -104c-26 0 -66 15 -67 47c0 13 0 38 17 82h-3c-28 -45 -87 -129 -182 -129c-63 0 -79 40 -79 82c0 20 3 40 7 57l54 237c2 11 3 22 3 25c0 18 -6 21 -13 21c-4 0 -14 -1 -44 -7l-3 24l194 34l-79 -344c-2 -6 -6 -23 -6 -32 c0 -18 9 -22 21 -22c48 0 166 180 190 294l19 90h113l-78 -337c-1 -5 -2 -12 -2 -19c0 -17 4 -35 19 -35c18 0 35 20 54 46"],119959:[473,14,554,52,539,"60 412v24c78 3 154 20 229 37c-13 -40 -22 -81 -34 -121c-17 -59 -62 -188 -62 -243c0 -31 22 -42 50 -42c66 0 181 146 198 207c3 11 5 22 5 34c0 52 -47 48 -47 105c0 33 31 60 63 60c41 0 77 -36 77 -77c0 -34 -22 -79 -38 -109c-51 -95 -133 -198 -223 -258 c-37 -25 -85 -43 -130 -43c-50 0 -96 23 -96 79c0 86 42 197 65 281c3 13 7 26 7 39c0 29 -44 27 -64 27"],119960:[473,14,814,52,799,"565 462l-76 -279c-7 -25 -20 -61 -20 -87c0 -22 14 -29 34 -29c56 0 129 91 159 134c23 32 44 66 44 106c0 59 -47 47 -47 107c0 32 31 59 63 59c42 0 77 -35 77 -76c0 -34 -22 -80 -38 -109c-50 -94 -136 -202 -224 -260c-36 -24 -85 -42 -129 -42c-58 0 -74 29 -74 83 c0 25 16 67 24 91c-45 -80 -112 -174 -214 -174c-51 0 -92 25 -92 81c0 37 7 74 17 110l37 134c6 21 18 55 18 76c0 24 -31 26 -49 26h-15v24c78 5 155 17 230 36l-91 -312c-6 -22 -14 -45 -14 -68c0 -15 6 -29 24 -29c65 0 132 134 154 186c29 69 46 141 64 212h138"],119961:[462,8,587,33,543,"327 334l22 34c22 34 65 94 122 94c47 0 72 -27 72 -50c0 -22 -5 -66 -62 -66c-30 0 -26 34 -40 34s-20 -10 -38 -40l-47 -79l49 -138c7 -19 13 -54 33 -54c17 0 34 5 55 68h24c-21 -81 -57 -145 -119 -145c-59 0 -78 44 -92 81l-29 75l-36 -62c-26 -44 -64 -94 -130 -94 c-50 0 -78 28 -78 60s20 58 60 58c47 0 31 -45 49 -45c11 0 21 15 49 59l61 97l-33 91c-21 57 -41 91 -80 91c-7 0 -14 0 -52 -15l-8 24l153 50c59 -34 80 -82 89 -109"],119962:[462,205,519,35,522,"330 128h1c20 29 43 68 61 102c21 39 46 92 46 107c0 30 -46 12 -46 71c0 19 27 54 60 54c46 0 70 -22 70 -75c0 -78 -155 -336 -196 -397c-69 -103 -128 -195 -213 -195c-56 0 -76 34 -77 58s8 66 60 66c42 0 39 -49 54 -49c13 0 66 69 86 118l-53 317 c-8 47 -17 106 -50 106c-5 0 -24 -3 -51 -8l-4 24l170 33c25 -21 49 -93 56 -142"],119963:[462,19,531,35,499,"499 452l-318 -337l1 -1c13 3 26 4 39 4c77 0 113 -107 144 -107c13 0 18 7 18 19c0 16 -20 26 -20 52c0 31 25 59 57 59c33 0 61 -28 61 -61c0 -76 -70 -99 -135 -99c-67 0 -133 24 -200 24c-33 0 -63 -7 -93 -19l-18 25l321 340h-165c-46 0 -59 -7 -74 -51l-24 3 l46 159h360v-10"],120604:[685,0,759,39,724,"724 23l-2 -23h-319l4 23h31c33 0 51 17 51 45c0 10 -1 28 -2 34l-15 108h-159l-80 -139c-2 -4 -6 -13 -6 -22c0 -19 9 -26 22 -26h56l-6 -23h-260l4 23c45 5 74 17 108 75l346 587h49l94 -624c4 -24 20 -38 47 -38h37zM466 256l-23 178l-103 -178h126"],120605:[669,0,726,42,715,"197 669h265c124 0 253 -22 253 -152c0 -74 -43 -120 -100 -147c-18 -9 -43 -18 -64 -24c58 -11 130 -60 130 -133c0 -126 -89 -213 -299 -213h-340l4 23h40c60 0 74 23 83 62l116 502c2 8 2 16 2 22c-2 24 -11 37 -56 37h-37zM440 624l-58 -251c12 -2 21 -2 32 -2 c14 0 28 1 40 4c74 16 109 76 109 150c0 35 -10 99 -74 99h-49zM373 324l-64 -274c19 -4 34 -5 52 -5c87 0 165 68 165 176c0 76 -53 103 -122 103h-31"],120606:[669,0,634,42,749,"749 669l-43 -184h-23c4 19 5 36 5 50c0 66 -49 89 -94 89h-155l-125 -542c-2 -10 -3 -18 -3 -25c0 -25 17 -34 59 -34h52l-5 -23h-375l4 23h36c61 0 76 22 85 61l115 503c2 10 3 29 3 37c-1 20 -17 22 -56 22h-38l3 23h555"],120607:[685,0,632,32,589,"589 0h-557l405 685h48zM427 102l-44 332l-192 -332h236"],120608:[669,0,732,42,754,"754 669l-40 -168h-23c3 17 3 28 3 38c-1 73 -75 85 -121 85h-135l-55 -239h55c56 0 116 9 137 95h22l-54 -251h-23c3 12 6 47 6 65c0 43 -56 46 -85 46h-69l-58 -258c-1 -6 -2 -13 -2 -17c0 -14 11 -20 42 -20h65c146 0 220 42 262 161h22l-61 -206h-600l4 23h36 c59 0 76 22 85 61l115 504c1 6 2 11 2 16c0 27 -17 42 -59 42h-37l4 23h562"],120609:[669,0,797,66,830,"830 669l-548 -623h194c91 0 189 11 223 141h23l-44 -187h-612l555 624h-177c-87 0 -183 -4 -232 -121h-23l46 166h595"],120610:[669,0,891,42,946,"946 669l-5 -23h-37c-61 0 -75 -21 -84 -61l-114 -503c-2 -7 -6 -14 -6 -22v-3c1 -24 10 -34 58 -34h41l-5 -23h-349l4 23h23c61 0 78 22 87 61l57 251h-242l-59 -253c-1 -8 -4 -15 -4 -23c2 -27 14 -36 60 -36h25l-5 -23h-349l4 23h36c61 0 77 22 86 61l115 503 c2 8 3 14 3 21c0 23 -15 38 -57 38h-40l6 23h348l-3 -23h-25c-63 0 -76 -21 -85 -60l-46 -203h242l47 204c2 8 3 16 3 23c0 23 -14 36 -60 36h-37l3 23h364"],120611:[685,16,783,55,755,"533 440h23c-31 -67 -43 -126 -43 -199h-23v15c0 26 -10 41 -30 41h-115c-29 0 -38 -5 -64 -56h-23c33 64 45 125 45 199h22c0 -45 12 -57 39 -57h116c23 0 34 12 53 57zM755 430c0 -228 -195 -446 -429 -446c-177 0 -271 118 -271 261c0 196 166 440 428 440 c178 0 272 -126 272 -255zM601 465c0 88 -36 173 -129 173c-184 0 -262 -289 -262 -433c0 -91 36 -174 126 -174c168 0 265 277 265 434"],120612:[669,0,502,42,557,"557 669l-4 -23h-38c-61 0 -76 -22 -85 -61l-116 -503c-1 -5 -1 -14 -1 -25c1 -23 12 -34 58 -34h37l-4 -23h-362l4 23h38c61 0 74 22 83 61l115 502c2 8 3 15 3 21c0 24 -15 39 -57 39h-37l4 23h362"],120613:[669,0,795,42,839,"839 669l-4 -23c-56 0 -88 -25 -135 -63l-248 -201l191 -284c47 -69 76 -75 135 -75l-4 -23h-328l4 23h29c21 0 29 8 29 22c0 16 -11 33 -16 40l-138 208l-48 -211c-1 -5 -1 -14 -1 -21c1 -27 13 -38 58 -38h38l-5 -23h-354l5 23h30c63 0 73 22 82 61l115 503 c2 8 4 16 4 23c0 23 -15 36 -58 36h-37l4 23h347l-6 -23h-27c-58 0 -72 -26 -81 -64l-40 -178h2l243 198c9 8 15 16 15 23c0 11 -11 21 -31 21h-24l4 23h250"],120614:[685,0,759,39,724,"724 23l-2 -23h-319l4 23h31c33 0 51 17 51 45c0 10 -1 28 -2 34l-44 332l-210 -363c-2 -4 -6 -13 -6 -22c0 -19 9 -26 22 -26h56l-6 -23h-260l4 23c45 5 74 17 108 75l346 587h49l94 -624c4 -24 20 -38 47 -38h37"],120615:[669,0,1016,42,1071,"1071 669l-3 -23h-34c-66 0 -80 -25 -89 -65l-115 -499c-2 -7 -3 -14 -3 -20c0 -25 16 -39 59 -39h39l-4 -23h-362l4 23h35c63 0 76 24 85 61l82 354h-1l-283 -438h-56l-90 441l-80 -348c-2 -10 -3 -27 -3 -40c2 -22 10 -30 55 -30h38l-3 -23h-300l4 23h36 c62 0 78 27 88 72l111 486c3 9 4 26 4 33c0 23 -16 32 -58 32h-39l4 23h246l91 -468l297 468h245"],120616:[669,0,869,42,924,"924 669l-3 -23h-38c-61 0 -78 -22 -87 -64l-131 -582h-57l-263 491l-92 -409c-1 -6 -2 -11 -2 -18v-8c1 -23 12 -33 57 -33h39l-4 -23h-301l4 23h36c61 0 76 22 85 61l117 510c-17 43 -47 52 -71 52h-38l3 23h232l222 -435l80 350c2 7 2 14 2 20c0 24 -11 42 -57 42h-37 l4 23h300"],120617:[669,0,718,57,757,"757 669l-38 -182h-23c3 11 4 21 4 30c0 30 -15 46 -53 46h-337c-42 0 -82 -26 -93 -76h-23l38 182h525zM635 459l-51 -239h-23c3 12 4 22 4 31c-1 26 -18 36 -45 36h-204c-57 0 -63 -19 -74 -67h-23l51 239h23c-3 -13 -5 -23 -5 -32c0 -27 15 -34 49 -34h203 c39 0 60 13 72 66h23zM663 187l-39 -187h-567l39 187h23c-2 -8 -4 -18 -4 -25c0 -39 28 -50 71 -50h349c69 0 92 16 105 75h23"],120618:[685,16,777,55,755,"755 432c0 -237 -195 -448 -429 -448c-177 0 -271 120 -271 263c0 210 166 438 428 438c178 0 272 -124 272 -253zM601 467c0 88 -36 171 -129 171c-184 0 -262 -287 -262 -431c0 -91 36 -176 126 -176c168 0 265 279 265 436"],120619:[669,0,887,39,942,"942 669l-5 -23h-37c-61 0 -75 -20 -84 -60l-115 -504c-2 -10 -4 -19 -4 -26c0 -23 13 -33 58 -33h40l-5 -23h-349l5 23h22c60 0 75 11 86 61l123 540h-242l-124 -542c-2 -10 -3 -19 -3 -26c0 -31 23 -33 59 -33h25l-5 -23h-348l5 23h35c58 0 75 19 85 61l115 504 c2 10 2 29 3 36c0 10 -18 22 -57 22h-40l5 23h752"],120620:[669,0,612,42,733,"198 669h284c166 0 251 -45 251 -163c0 -97 -82 -206 -297 -206c-24 0 -46 0 -67 3l-51 -221c-1 -5 -4 -16 -4 -24c2 -27 13 -35 60 -35h52l-4 -23h-380l4 23h40c62 0 76 22 85 61l115 504c2 8 3 13 3 21c-1 24 -14 37 -60 37h-37zM441 623l-61 -273c13 -3 28 -5 40 -5 c91 0 157 72 157 176c0 52 -28 103 -106 103c-10 0 -21 0 -30 -1"],120621:[685,16,783,55,755,"755 430c0 -228 -195 -446 -429 -446c-177 0 -271 118 -271 261c0 196 166 440 428 440c178 0 272 -126 272 -255zM237 383h356c5 29 8 57 8 82c0 88 -36 173 -129 173c-122 0 -198 -128 -235 -255zM574 297h-356c-6 -34 -8 -66 -8 -92c0 -91 36 -174 126 -174 c116 0 198 132 238 266"],120622:[669,0,759,64,787,"787 669l-39 -168h-23c3 17 3 33 3 50c0 66 -55 73 -108 73h-212l159 -250l-286 -266h270c82 0 122 19 161 92h25l-76 -200h-597l372 338l-217 331h568"],120623:[669,0,568,28,700,"700 669l-44 -187h-24c6 18 7 40 7 54c0 62 -45 88 -111 88h-78l-123 -541c-1 -6 -4 -15 -4 -25c1 -24 11 -35 57 -35h42l-3 -23h-368l4 23h40c62 0 76 22 85 61l124 540h-75c-100 0 -160 -54 -179 -142h-22l43 187h629"],120624:[685,0,641,31,784,"784 629l-20 -22c-11 10 -28 24 -44 24c-47 0 -143 -130 -174 -167l-121 -145l-54 -233c-2 -9 -4 -19 -4 -29c0 -34 31 -34 57 -34h40l-6 -23h-361l8 23h36c39 0 66 6 78 57l59 248l-74 190c-14 37 -43 96 -89 96c-26 0 -44 -12 -64 -27l-20 21c42 53 82 77 151 77 c66 0 123 -37 145 -100l67 -192l157 189c36 43 94 95 154 95c27 0 66 -26 79 -48"],120625:[669,0,827,28,799,"546 587l-5 -24c124 0 258 -48 258 -173c0 -202 -243 -286 -364 -286h-1l-7 -32c-1 -6 -1 -15 -1 -19c0 -22 16 -30 52 -30h47l-5 -23h-365l6 23c76 0 108 6 116 44l8 37c-134 0 -257 59 -257 189c0 189 211 270 363 270l10 44c1 2 1 5 1 7c0 18 -22 32 -58 32h-41l5 23 h364l-5 -23h-41c-56 0 -72 -23 -80 -59zM529 517l-85 -366c79 0 192 109 192 229c0 71 -40 137 -107 137zM298 151l85 366c-89 0 -197 -132 -197 -232c0 -78 45 -134 112 -134"],120626:[669,0,808,28,830,"830 669l-3 -23h-24c-63 0 -82 -34 -116 -74l-177 -212l98 -270c15 -40 28 -67 62 -67h36l-4 -23h-316l3 23h28c33 0 49 12 49 36c0 8 -1 17 -5 27l-63 171l-154 -179c-6 -7 -8 -15 -8 -22c0 -18 15 -33 39 -33h42l-4 -23h-285l4 23c60 7 104 33 142 77l198 229l-89 237 c-12 33 -33 80 -84 80h-27l4 23h318l-4 -23h-39c-23 0 -34 -9 -34 -27c0 -9 4 -20 8 -32l53 -155l137 162c6 7 10 17 10 27c0 14 -8 25 -28 25h-31l4 23h260"],120627:[685,0,694,30,781,"781 684l-5 -23c-53 0 -68 -88 -77 -127c-12 -52 -24 -113 -55 -158c-59 -86 -156 -112 -255 -112l-39 -171c-3 -12 -6 -24 -6 -36c0 -31 49 -34 80 -34h17l-5 -23h-362l5 23h23c60 0 87 10 101 72l39 169c-88 0 -210 42 -210 147c0 65 37 123 37 188c0 23 -11 62 -39 63 l5 23h33c86 0 126 -61 126 -141c0 -35 -7 -69 -17 -102c-6 -20 -13 -41 -13 -63c0 -51 45 -66 89 -68l62 271c2 7 3 14 3 21c0 39 -39 44 -72 44c-9 0 -18 0 -25 -1l6 23h362l-6 -23c-57 0 -104 3 -120 -64l-63 -271c60 0 101 32 124 85c21 47 24 100 41 149 c32 88 85 139 183 139h33"],120628:[685,0,826,57,815,"300 92l6 31c-100 18 -158 89 -158 185c0 158 143 377 401 377c181 0 266 -109 266 -247c0 -159 -126 -279 -275 -315l-9 -31h153c31 0 50 28 63 75h23l-38 -167h-305l42 153c110 24 189 182 189 310c0 84 -36 174 -120 174c-130 0 -231 -194 -231 -345 c0 -71 25 -124 83 -139l-28 -153h-305l38 167h23c-3 -15 -5 -28 -5 -38c0 -27 10 -37 41 -37h146"],120629:[669,16,632,43,600,"600 669l-405 -685h-48l-104 685h557zM441 567h-236l44 -332"],120630:[461,12,624,44,630,"630 449l-163 -258s-1 -6 -1 -12c0 -8 0 -17 1 -23c7 -80 27 -98 41 -98c21 0 43 26 58 76l24 -7c-19 -77 -56 -139 -121 -139c-46 0 -82 41 -89 79c-56 -60 -112 -77 -181 -77c-93 0 -155 57 -155 168c0 149 114 303 276 303c77 0 120 -49 136 -99l49 87h125zM369 280 c0 70 -15 141 -62 141c-49 0 -147 -116 -147 -278c0 -59 18 -116 57 -116c53 0 119 106 146 178c4 22 6 48 6 75"],120631:[685,205,555,28,583,"54 -114l114 487c33 143 84 216 165 274c39 28 72 38 129 38c67 0 121 -50 121 -118c0 -76 -46 -146 -113 -173v-2c45 -7 88 -41 88 -126c0 -123 -89 -278 -262 -278c-33 0 -74 4 -97 18l-28 -124c-7 -32 -17 -66 -26 -87h-117c9 21 19 61 26 91zM304 480l-87 -393 c0 -44 35 -59 67 -59c90 0 156 131 156 227c0 106 -34 117 -52 117c-17 0 -30 -6 -45 -6c-27 0 -33 14 -33 25c0 16 16 36 56 36c13 0 49 -11 58 -11c38 0 56 82 56 132c0 56 -29 85 -62 85c-67 0 -93 -57 -114 -153"],120632:[462,203,490,44,503,"503 449l-264 -401c0 -77 -19 -251 -113 -251c-44 0 -57 39 -57 61c0 58 53 122 91 185c10 73 13 153 13 208c0 41 -8 141 -45 141c-18 0 -42 -14 -61 -81h-23c18 67 54 151 121 151c71 0 84 -65 84 -135c0 -33 -4 -92 -7 -125l135 247h126"],120633:[685,8,538,44,538,"44 169v1c0 114 95 238 237 261c-55 28 -104 73 -104 124c0 91 98 130 192 130c53 0 142 -20 142 -63c0 -29 -11 -62 -59 -62c-70 0 -64 81 -132 81c-26 0 -68 -4 -68 -56c0 -90 286 -109 286 -295c0 -169 -143 -298 -308 -298c-117 0 -186 67 -186 177zM422 259 c0 82 -77 134 -107 134c-93 -23 -155 -124 -155 -238c0 -95 27 -123 88 -123c95 0 174 139 174 227"],120634:[462,10,495,28,451,"451 389l-18 -7c-17 20 -34 40 -103 40s-127 -48 -127 -108c0 -32 24 -51 60 -51c13 0 45 9 74 9c19 0 47 -4 47 -22c0 -23 -17 -37 -65 -37c-11 0 -42 6 -59 6c-43 0 -116 -39 -116 -109c0 -52 47 -75 101 -75c59 0 97 22 151 79l18 -8c-51 -64 -122 -116 -224 -116 c-99 0 -162 50 -162 108c0 64 43 119 108 142v3c-30 10 -49 42 -49 67c0 78 81 152 227 152c65 0 124 -35 137 -73"],120635:[685,203,472,44,522,"330 685l7 -21c-56 -21 -80 -55 -80 -76c0 -28 19 -38 31 -41c42 37 127 104 186 104c36 0 48 -12 48 -30c0 -49 -105 -129 -199 -129c-90 -60 -173 -178 -173 -313c0 -57 39 -86 100 -86c94 0 156 -30 156 -93c0 -47 -28 -97 -74 -138c-34 -30 -85 -65 -121 -65 c-53 0 -77 32 -77 63c0 21 6 54 61 54c46 0 31 -42 62 -42c39 0 73 31 73 80c0 33 -19 46 -62 46c-12 0 -54 -7 -73 -7c-84 0 -151 61 -151 147c0 132 69 247 206 372c-35 5 -74 26 -74 59c0 49 45 96 154 116"],120636:[462,205,517,33,511,"248 356l6 1c33 61 97 105 168 105c69 0 89 -30 89 -75c0 -18 -4 -45 -8 -64l-76 -325c-12 -50 -22 -149 -22 -182c0 -13 1 -9 6 -21h-113c-11 21 -13 34 -13 52c0 41 18 126 100 467c1 5 3 22 3 38c0 27 -13 35 -29 35c-57 0 -140 -168 -166 -277l-26 -110h-115l74 318 c3 13 6 34 6 52c0 17 -8 22 -18 22c-20 0 -42 -22 -61 -45l-20 12c34 52 95 103 161 103c48 0 60 -25 60 -47c0 -21 -2 -32 -6 -59"],120637:[685,11,566,44,555,"555 476c0 -262 -174 -487 -343 -487c-108 0 -168 89 -168 226c0 237 163 471 330 470c109 0 181 -73 181 -209zM184 359h243c8 41 13 89 13 128c0 116 -17 158 -66 158c-80 0 -156 -140 -190 -286zM417 315h-245c-10 -47 -15 -93 -15 -132c0 -111 27 -154 70 -154 c81 0 151 143 190 286"],120638:[462,9,318,55,274,"255 104l19 -12c-32 -57 -82 -101 -152 -101c-51 0 -67 24 -67 56c0 10 1 20 4 31l64 276c3 13 6 29 6 36c0 11 -5 18 -20 18c-9 0 -21 0 -37 -3l-4 23l197 34l-77 -331c-3 -15 -8 -30 -8 -48c0 -13 9 -25 21 -25c20 0 35 23 54 46"],120639:[462,0,560,55,577,"240 294l129 101c34 27 86 67 140 67c42 0 68 -17 68 -50c0 -28 -11 -62 -59 -62c-52 0 -36 46 -72 46c-9 0 -32 -15 -49 -29l-114 -93l112 -199c25 -44 51 -52 103 -52l-5 -23h-269l5 23h29c16 0 28 2 28 15c0 9 -7 26 -13 36l-60 107l-42 -181h-116l82 363 c3 12 4 21 4 28c0 15 -12 17 -26 17c-10 0 -21 -1 -32 -3l-3 23l196 34"],120640:[685,16,570,55,537,"514 130h23c-15 -73 -54 -146 -128 -146c-48 0 -69 48 -69 117c0 48 10 98 19 174l-192 -275h-112l302 435v50c0 95 -24 130 -55 130c-22 0 -45 -27 -60 -77h-23c20 74 55 147 125 147c52 0 55 -71 55 -146v-387c0 -79 32 -98 55 -98c21 0 45 26 60 76"],120641:[449,205,636,33,603,"583 83l20 -12c-37 -66 -84 -103 -161 -103c-42 0 -57 31 -57 61c0 26 9 56 16 78l-3 1c-29 -55 -87 -110 -135 -110c-29 0 -43 8 -55 27h-2c-34 -132 -46 -193 -70 -230h-103c14 23 32 72 48 138l122 516h113l-74 -316c-2 -8 -3 -16 -3 -23c1 -29 11 -37 40 -37 c69 0 151 156 186 294l21 82h111l-79 -338c-4 -16 -7 -30 -7 -44c0 -18 5 -31 19 -31c18 0 39 26 53 47"],120642:[459,10,523,55,534,"510 455l24 -7c-44 -181 -167 -325 -291 -458h-52l-58 378c-4 28 -37 34 -76 34l-2 23c44 2 103 6 182 34l45 -315h1c146 142 197 246 227 311"],120643:[685,203,476,28,487,"332 685l6 -23c-64 -26 -79 -53 -79 -73c0 -21 15 -29 16 -32c40 37 112 74 158 74c26 0 54 -5 54 -29c0 -57 -90 -91 -175 -91c-46 0 -66 -40 -66 -78c0 -17 5 -29 14 -43c40 23 94 39 134 39c33 0 74 -3 74 -31c0 -62 -102 -69 -140 -69c-20 0 -44 3 -64 8 c-65 -28 -134 -86 -134 -172c0 -53 29 -71 100 -71c127 0 187 -25 187 -94c0 -47 -28 -97 -67 -134c-35 -33 -85 -69 -128 -69c-53 0 -77 32 -77 65c0 30 19 52 59 52c47 0 36 -43 65 -43c43 0 72 40 72 82c0 33 -20 45 -61 45c-20 0 -48 -7 -70 -7c-105 0 -182 34 -182 121 c0 103 74 185 174 249c-22 21 -28 41 -28 75c0 29 29 70 59 85v3c-31 4 -53 27 -53 56c0 51 49 85 152 105"],120644:[462,10,561,44,539,"539 297c0 -186 -144 -307 -308 -307c-118 0 -187 71 -187 180c0 172 139 292 295 292c118 0 200 -58 200 -165zM423 300c0 91 -43 122 -89 122c-88 0 -174 -151 -174 -264c0 -97 28 -128 88 -128c92 0 175 142 175 270"],120645:[449,13,579,39,590,"590 449l-21 -91h-113c-17 -47 -53 -171 -53 -234c0 -25 10 -61 34 -61c16 0 42 12 65 71l24 -6c-15 -65 -75 -135 -157 -135c-56 0 -73 41 -73 83c0 22 4 45 7 61c16 75 40 140 62 221h-61c-44 -119 -64 -371 -194 -371c-44 0 -71 17 -71 51c0 23 9 39 42 51 c31 11 48 39 58 68l71 201c-40 0 -81 -6 -118 -54h-23c54 95 110 145 223 145h298"],120646:[462,205,595,33,562,"58 -110l62 267c34 145 101 230 162 270c35 23 81 35 115 35c78 0 165 -50 165 -180c0 -164 -141 -294 -274 -294c-30 0 -66 7 -87 19l-25 -110c-6 -28 -18 -77 -28 -102h-115c8 21 19 69 25 95zM252 240l-33 -152c1 -43 34 -60 68 -60c72 0 161 133 161 253 c0 93 -31 131 -76 131c-55 0 -101 -82 -120 -172"],120647:[462,203,480,39,508,"508 388c0 -24 -22 -53 -56 -53c-56 0 -49 47 -97 47c-102 0 -214 -98 -214 -217c0 -53 29 -71 100 -71c127 0 187 -25 187 -94c0 -47 -28 -106 -67 -143c-35 -33 -85 -60 -128 -60c-53 0 -77 32 -77 65c0 30 19 52 59 52c47 0 36 -43 65 -43c43 0 72 40 72 82 c0 33 -20 45 -61 45c-20 0 -48 -7 -70 -7c-105 0 -182 34 -182 121c0 103 75 213 174 279c54 36 128 71 192 71c60 0 103 -27 103 -74"],120648:[449,10,592,44,603,"603 449l-21 -91h-176c24 -54 101 -50 101 -147c0 -120 -126 -221 -275 -221c-120 0 -188 68 -188 177c0 139 112 282 311 282h248zM391 207v1c0 81 -24 118 -59 150c-82 0 -172 -70 -172 -203c0 -97 29 -125 88 -125c81 0 143 94 143 177"],120649:[449,7,469,33,502,"502 449l-21 -91h-149l-53 -188c-5 -18 -8 -38 -8 -56c0 -28 9 -51 32 -51c16 0 42 12 67 71l22 -6c-14 -65 -79 -135 -149 -135c-45 0 -89 18 -89 70c0 34 6 71 15 100l59 195h-32c-43 0 -109 -29 -140 -89h-23c25 67 107 180 214 180h255"],120650:[462,10,552,33,535,"303 423l5 39c127 0 227 -51 227 -174c0 -171 -151 -298 -291 -298c-93 0 -168 33 -168 109c0 11 4 37 12 71l29 125c5 22 12 49 12 66c0 16 -3 27 -17 27c-20 0 -41 -22 -59 -45l-20 12c32 52 90 103 160 103c40 0 59 -22 59 -48c0 -13 -5 -45 -10 -67l-40 -172 c-5 -22 -9 -44 -9 -64c0 -44 16 -77 67 -77c93 0 176 135 176 260c0 105 -65 133 -133 133"],120651:[462,205,706,55,667,"259 30l27 122c29 133 60 192 144 260c17 14 70 42 99 42c75 0 138 -62 138 -163c0 -144 -110 -290 -302 -301l-44 -195h-117l45 195c-126 10 -194 87 -194 188c0 162 138 284 297 284h41l-10 -39c-112 0 -212 -133 -212 -253c0 -70 34 -131 88 -140zM424 241l-49 -211 c78 7 176 122 176 267c0 88 -16 107 -39 107c-50 0 -76 -112 -88 -163"],120652:[462,204,621,33,676,"676 449l-293 -360l13 -121c8 -72 24 -102 44 -102c24 0 52 19 67 79h23c-21 -93 -52 -149 -117 -149c-64 0 -71 80 -74 161l-3 89l-182 -230h-121l302 363l-6 83c-7 99 -27 130 -60 130c-21 0 -54 -25 -67 -76h-23c8 62 36 146 121 146c54 0 73 -53 77 -157l3 -86 l177 230h119"],120653:[462,205,701,33,756,"756 462l-5 -39c-78 -7 -106 -71 -123 -142c-33 -141 -87 -291 -279 -291l-44 -195h-116l44 195c-103 8 -168 63 -168 169c0 61 42 125 40 193c-1 40 -25 64 -72 71l7 39h49c92 0 124 -54 124 -115c0 -68 -32 -132 -32 -198s24 -112 61 -119l98 419h116l-98 -419 c78 0 132 151 156 253c22 92 58 179 193 179h49"],120654:[462,10,687,22,665,"441 462h39c116 0 185 -76 185 -177c0 -155 -123 -295 -244 -295c-57 0 -87 28 -104 65c-40 -47 -89 -65 -144 -65c-106 0 -151 84 -151 176c0 91 52 189 130 243c49 34 104 53 173 53h32l-10 -39c-42 0 -82 -22 -112 -47c-64 -54 -97 -155 -97 -249c0 -48 24 -97 60 -97 c31 0 71 30 89 90c-6 28 -10 55 -10 84c0 70 31 168 107 168c42 0 52 -36 52 -71c0 -62 -42 -131 -74 -179c-1 -5 -2 -13 -2 -18c0 -49 34 -74 66 -74c71 0 123 162 123 247c0 91 -35 146 -116 146"],120655:[686,10,559,44,559,"234 627l2 23c30 25 79 36 119 36c130 0 204 -80 204 -256c0 -171 -103 -440 -328 -440c-120 0 -187 66 -187 176c0 159 139 293 298 293c50 0 115 -24 133 -70h4v8c1 9 2 18 2 27c0 114 -20 221 -154 221c-26 0 -58 -8 -93 -18zM423 293c0 91 -43 126 -89 126 c-88 0 -174 -152 -174 -265c0 -97 28 -124 88 -124c92 0 175 135 175 263"],120656:[461,10,481,44,481,"481 461l-26 -140h-23c0 54 -6 103 -89 103c-73 0 -141 -88 -163 -161h188l-10 -44h-188c-7 -21 -10 -43 -10 -66c0 -79 40 -118 101 -118c67 0 113 36 152 79l18 -6c-30 -40 -89 -118 -223 -118c-116 0 -164 76 -164 158c0 150 128 313 283 313c70 0 76 -19 98 -19 c10 0 28 5 33 19h23"],120657:[698,13,607,33,584,"584 241l-5 -31c-22 1 -45 2 -67 6c-41 -105 -104 -229 -234 -229c-87 0 -160 28 -160 128c0 35 11 72 16 107v4c0 10 -5 23 -17 23c-22 0 -51 -33 -64 -49l-20 18c31 47 93 99 152 99c47 0 66 -41 66 -82c0 -11 -2 -21 -4 -31c-9 -40 -19 -79 -19 -120 c0 -33 9 -68 50 -68c67 0 114 175 128 228c-104 50 -204 126 -204 252c0 115 76 202 194 202c32 0 66 -10 94 -26c67 -39 80 -119 80 -190c0 -78 -19 -155 -44 -228c19 -6 38 -11 58 -13zM454 541c0 40 -4 119 -60 119c-64 0 -80 -98 -80 -146c0 -83 46 -160 105 -215 c19 79 35 160 35 242"],120658:[462,15,607,-12,630,"630 449l-154 -146c-12 -24 -23 -55 -33 -92c-9 -33 -13 -59 -13 -78c0 -24 12 -36 36 -36c20 0 36 -6 46 -18c8 -9 11 -20 11 -33c0 -17 -6 -32 -17 -43c-12 -12 -29 -18 -52 -18c-29 0 -51 12 -65 36c-11 18 -16 41 -16 69c0 55 13 105 39 153l-260 -243h-164l157 147 c12 24 23 55 33 91c9 33 13 58 13 76c0 24 -12 36 -36 36c-20 0 -35 6 -45 18c-8 9 -12 20 -12 33c0 17 6 31 17 42c12 12 30 19 52 19c29 0 51 -12 65 -36c11 -18 16 -42 16 -69c0 -52 -13 -102 -38 -150l256 242h164"],120659:[685,205,683,44,655,"512 685l-51 -223c106 0 194 -55 194 -169c0 -44 -10 -87 -29 -127c-51 -109 -154 -169 -273 -176l-44 -195h-117l45 195c-110 8 -193 73 -193 188c0 44 12 87 32 126c54 102 155 158 269 158l50 223h117zM453 423l-90 -393c84 17 154 123 171 202c4 17 5 35 5 53 c0 55 -24 128 -86 138zM247 30l90 393c-103 -16 -177 -151 -177 -248c0 -59 21 -131 87 -145"],120660:[462,205,585,44,563,"252 -205h-19c3 7 3 13 3 15c0 59 -192 76 -192 220c0 195 125 432 326 432c115 0 193 -55 193 -168c0 -159 -133 -304 -297 -304c-57 0 -101 18 -131 61l-5 -1c1 -109 150 -112 150 -184c0 -23 -3 -48 -28 -71zM448 297c0 91 -43 125 -89 125c-88 0 -174 -157 -174 -270 c0 -97 28 -122 88 -122c92 0 175 139 175 267"],120661:[449,10,868,33,879,"879 449l-21 -91h-73c10 -22 15 -47 15 -75c0 -155 -123 -293 -244 -293c-57 0 -87 28 -104 65c-40 -47 -89 -65 -144 -65c-106 0 -151 84 -151 176c0 70 29 138 78 192h-36c-59 0 -108 -28 -143 -91h-23c23 81 84 182 248 182h598zM668 358h-312 c-54 -56 -83 -145 -83 -231c0 -48 24 -97 60 -97c31 0 69 27 87 87c-3 17 -6 39 -6 57c0 36 16 160 95 160c36 0 44 -33 44 -68c0 -59 -24 -96 -56 -144c-1 -5 -2 -13 -2 -18c0 -49 34 -74 66 -74c71 0 123 160 123 245c0 34 -5 61 -16 83"]};MathJax.Ajax.loadComplete(MathJax.OutputJax.SVG.fontDir+"/Normal/BoldItalic/Main.js");
diff --git a/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js b/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js
index 9863831cbd..7ba02a4a6f 100644
--- a/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.OutputJax.SVG.FONTDATA.FONTS["STIXMathJax_Normal-italic"]={directory:"Normal/Italic",family:"STIXMathJax_Normal",style:"italic",id:"STIXWEBNORMALI",32:[0,0,250,0,0,""],160:[0,0,250,0,0,""],8462:[668,11,513,45,483,"469 106l14 -11c-29 -34 -78 -106 -133 -106c-18 0 -41 10 -41 42c0 12 1 26 64 267c2 7 7 29 7 44c0 19 -7 35 -24 35c-36 0 -102 -85 -134 -133c-34 -51 -62 -102 -67 -122l-32 -122h-78l152 600c1 4 2 7 2 10c0 13 -10 22 -31 22c-10 0 -21 -1 -29 -2l-2 14l159 24 l-109 -416h4c53 58 125 189 216 189c42 0 57 -34 57 -70c0 -22 -6 -43 -11 -64l-58 -230c-1 -5 -2 -7 -2 -10c0 -6 3 -14 13 -14c22 0 49 35 63 53"],119860:[667,0,717,35,685,"685 0h-285v16h16c56 0 72 21 72 61c0 6 -1 14 -2 21l-13 113h-198l-84 -140c-7 -8 -10 -19 -10 -26c1 -18 17 -29 43 -29h29v-16h-218v16c35 4 72 16 108 74l356 577h18l78 -581c7 -49 32 -70 74 -70h16v-16zM466 248l-25 227h-6l-139 -227h170"],119861:[653,0,696,38,686,"198 653h252c84 0 236 -9 236 -145c0 -78 -43 -123 -91 -147c-25 -13 -54 -21 -74 -26l3 -4c60 -11 127 -53 127 -138c0 -99 -82 -193 -289 -193h-324l4 16h20c76 0 95 29 103 63l123 495c1 5 2 15 2 21c0 26 -19 42 -78 42h-19zM406 611l-59 -252c20 -4 38 -6 53 -6 c112 0 168 66 168 163c0 77 -65 98 -119 98c-15 0 -30 -1 -43 -3zM338 314l-68 -267c25 -7 45 -9 71 -9c94 0 190 42 190 172c0 73 -64 108 -142 108c-16 0 -36 0 -51 -4"],119862:[659,12,671,50,711,"711 659l-53 -223h-16c1 8 1 17 1 42c0 65 -31 144 -152 144c-201 0 -319 -201 -319 -372c0 -112 60 -214 195 -214c98 0 171 49 216 98c7 7 12 13 17 20l20 -13c-27 -41 -60 -71 -89 -92c-78 -55 -154 -61 -193 -61c-193 0 -288 131 -288 278c0 230 201 393 443 393 c54 0 106 -27 158 -27c11 0 27 2 42 27h18"],119863:[653,0,790,38,765,"194 653h282c188 0 289 -103 289 -275c0 -211 -163 -378 -421 -378h-306l4 16h18c74 0 97 28 105 62l122 497c2 8 4 17 4 24c0 22 -18 37 -77 37h-25zM405 612l-122 -504c-5 -19 -5 -24 -5 -27c0 -41 60 -43 95 -43c192 0 271 184 271 325c0 115 -33 252 -180 252 c-20 0 -43 -1 -59 -3"],119864:[653,0,714,38,734,"734 653l-42 -158h-16c1 13 2 24 2 35c-3 74 -58 87 -109 87h-160l-60 -248h80c60 0 104 13 126 95h16l-58 -242h-17c1 13 6 43 6 60c0 47 -41 51 -72 51h-90l-66 -258c-1 -4 -2 -7 -2 -10c0 -16 16 -27 63 -27h67c158 0 214 47 257 160h16l-66 -198h-571l4 16h19 c73 0 96 28 104 62l120 488c4 18 5 29 5 36c0 24 -16 35 -75 35h-19l4 16h534"],119865:[653,0,618,38,723,"723 653l-40 -160h-16c1 8 1 22 1 36c-3 78 -63 87 -110 87h-147l-62 -248h83c62 0 108 10 129 95h16l-60 -242h-16c3 14 5 43 5 61c0 47 -41 50 -70 50h-97l-62 -254c-1 -6 -4 -14 -4 -21c0 -25 19 -41 79 -41h32l-4 -16h-342l4 16h18c76 0 97 28 106 62l124 497 c2 8 4 17 4 24c0 21 -16 39 -76 39h-19l4 15h520"],119866:[668,12,734,50,734,"734 329v-16c-85 0 -103 -26 -113 -62l-62 -216c-79 -47 -154 -47 -217 -47c-157 0 -292 75 -292 254c0 210 182 426 435 426c49 0 81 -9 103 -16c22 -6 41 -21 63 -21s40 21 43 37h16l-45 -223h-16c1 10 2 21 2 32c0 73 -47 154 -160 154c-229 0 -318 -248 -318 -427 c0 -82 34 -179 181 -179c41 0 70 8 97 25l57 201c2 8 3 18 3 25c0 22 -14 37 -75 37h-19l4 16h313"],119867:[653,0,873,38,923,"923 653l-4 -16h-18c-76 0 -97 -28 -106 -63l-123 -496c-2 -9 -4 -18 -4 -28c0 -21 19 -34 78 -34h19l-4 -16h-329l4 16h18c72 0 96 25 105 62l61 242h-280l-61 -242c-2 -6 -4 -16 -4 -24c0 -24 18 -38 77 -38h20l-4 -16h-330l4 16h18c75 0 98 28 106 62l123 496 c2 6 4 17 4 24c0 21 -16 39 -78 39h-20l4 16h330l-4 -16h-18c-79 0 -97 -28 -105 -63l-52 -217h278l53 217c2 10 4 17 4 24c0 24 -19 39 -76 39h-20l4 16h330"],119868:[653,0,480,38,530,"530 653l-4 -16h-19c-76 0 -97 -26 -106 -62l-123 -497c-2 -8 -3 -19 -3 -29c0 -21 19 -33 78 -33h17l-4 -16h-328l4 16h19c76 0 97 28 105 62l123 497c2 8 4 17 4 24c0 22 -17 38 -77 38h-18l4 16h328"],119869:[653,12,540,60,620,"620 653l-4 -16h-18c-74 0 -99 -27 -108 -63l-103 -413c-19 -75 -52 -118 -92 -145c-39 -25 -84 -28 -109 -28c-69 0 -126 37 -126 97c0 37 20 71 70 71c31 0 64 -20 64 -51c0 -32 -27 -32 -27 -59c0 -15 13 -21 24 -21c49 0 67 69 74 96c37 144 117 469 117 477 c0 24 -18 39 -75 39h-20l4 16h329"],119870:[653,0,762,38,802,"802 653l-4 -16c-51 0 -78 -20 -120 -53l-271 -211l187 -278c29 -43 62 -79 127 -79l-4 -16h-287l4 16h11c28 0 47 5 47 33c0 16 -8 22 -16 35l-156 237h-4l-62 -243c-2 -8 -3 -15 -3 -22c0 -24 19 -40 78 -40h17l-4 -16h-304l4 16h18c60 0 77 35 84 62l117 472 c7 27 10 28 10 49c0 22 -16 38 -76 38h-18l4 16h312l-4 -16h-11c-75 0 -88 -27 -97 -62l-53 -209h5l282 221c10 8 18 16 18 29c-1 14 -9 21 -51 21l4 16h216"],119871:[653,0,708,38,668,"668 190l-61 -190h-569l4 16h17c75 0 99 28 107 62l118 477c4 16 7 36 7 45c0 19 -14 37 -76 37h-18l4 16h327l-4 -16h-18c-75 0 -96 -26 -105 -63l-122 -481c-4 -15 -5 -29 -5 -31c0 -22 28 -24 40 -24h122c102 0 153 22 199 115c7 11 12 23 17 37h16"],119872:[653,0,1005,38,1055,"1055 653l-4 -16h-17c-80 0 -96 -25 -105 -61l-127 -498c-2 -7 -2 -19 -2 -28c0 -19 19 -34 77 -34h19l-4 -16h-330l4 16h17c79 0 97 30 105 62l112 439h-6l-345 -517h-25l-94 517h-3l-109 -428c-3 -13 -5 -28 -5 -40c0 -21 17 -33 76 -33h20l-4 -16h-267l4 16h19 c79 0 98 33 108 73l119 475c4 17 5 29 5 38c0 20 -15 35 -77 35h-19l4 16h213l89 -493h4l333 493h215"],119873:[653,0,851,38,901,"901 653l-4 -16h-18c-75 0 -98 -26 -107 -63l-144 -574h-24l-274 526h-6l-108 -448c-2 -8 -3 -16 -3 -27c0 -20 17 -35 76 -35h19l-4 -16h-266l4 16h18c75 0 98 28 106 62l126 509c-19 43 -62 50 -92 50h-19l4 16h200l236 -465h5l97 386c2 9 4 16 4 26 c0 20 -17 37 -76 37h-20l4 16h266"],119874:[669,11,732,50,712,"712 420c0 -198 -156 -431 -409 -431c-149 0 -253 96 -253 233c0 203 158 447 413 447c167 0 249 -123 249 -249zM596 443c0 107 -40 189 -141 189c-232 0 -284 -313 -284 -455c0 -97 62 -150 140 -150c212 0 285 275 285 416"],119875:[653,0,594,38,704,"201 653h271c170 0 232 -86 232 -160c0 -98 -81 -199 -285 -199c-28 0 -50 1 -74 5c-5 0 -8 1 -12 2l-56 -223c-2 -8 -3 -15 -3 -23c0 -24 18 -39 77 -39h32l-4 -16h-341l4 16h17c77 0 97 28 106 62l125 497c2 8 4 17 4 25c0 21 -17 37 -78 37h-19zM411 613l-68 -274 c16 -4 40 -8 60 -8c102 0 182 70 182 172c0 60 -30 113 -125 113c-17 0 -32 -1 -49 -3"],119876:[667,152,781,50,731,"83 -115l164 107c-114 17 -197 98 -197 230c0 204 188 445 442 445c146 0 239 -92 239 -247c0 -204 -188 -430 -433 -430l-64 -43l4 -5c16 3 30 4 43 4c65 0 158 -34 245 -34c39 0 86 13 136 66l13 -11c-59 -73 -129 -119 -247 -119c-53 0 -105 8 -142 16 c-50 11 -104 27 -134 27c-8 0 -31 -5 -58 -18zM612 467c0 132 -65 163 -130 163c-222 0 -312 -316 -312 -454c0 -97 51 -149 131 -149c217 0 311 283 311 440"],119877:[653,0,740,38,725,"725 16l-2 -16h-169l-150 315c-10 -1 -21 -2 -29 -2c-14 0 -24 2 -38 4l-62 -239c-2 -8 -3 -15 -3 -23c0 -24 18 -39 76 -39h19l-4 -16h-325l4 16h16c76 0 96 28 105 62l124 497c2 8 5 17 5 25c0 21 -17 37 -77 37h-20l4 16h271c160 0 216 -66 216 -151 c0 -83 -71 -150 -178 -171l115 -229c19 -39 45 -81 102 -86zM410 613l-64 -260c13 -3 23 -4 32 -4c133 0 191 58 191 142c0 108 -62 125 -125 125c-14 0 -23 -1 -34 -3"],119878:[668,10,650,50,680,"680 668l-53 -221h-16c1 8 1 16 1 24c0 84 -48 160 -160 160c-43 0 -121 -26 -121 -97c0 -69 61 -111 117 -159c59 -49 118 -107 118 -194c0 -99 -87 -191 -244 -191c-94 0 -125 38 -201 38c-25 0 -39 -11 -55 -38h-16l60 236h16c0 -10 1 -21 1 -31 c3 -79 40 -167 171 -167c127 0 156 71 156 136c0 35 -18 68 -46 96c-30 31 -78 67 -114 102c-28 28 -73 82 -73 131c0 81 65 175 223 175c83 0 140 -37 183 -37c20 0 34 22 37 37h16"],119879:[653,0,550,25,670,"670 653l-46 -179h-16c2 17 5 44 5 71c0 66 -58 71 -99 71h-98l-133 -538c-2 -9 -5 -16 -5 -25c0 -21 16 -37 76 -37h21l-4 -16h-329l4 16h18c78 0 98 28 106 62l133 538h-91c-83 0 -153 -61 -171 -142h-16l46 179h599"],119880:[653,13,705,65,775,"775 653l-4 -16h-16c-75 0 -98 -27 -107 -63l-87 -356c-26 -106 -82 -231 -272 -231c-160 0 -222 96 -222 187c0 8 12 86 14 95l76 330c1 2 1 5 1 7c0 20 -21 31 -75 31h-18l4 16h328l-4 -16h-17c-79 0 -97 -27 -106 -63l-90 -360c-4 -15 -7 -51 -7 -68 c0 -54 47 -112 144 -112c111 0 169 81 195 189l86 351c2 7 4 15 4 26c-1 23 -17 37 -75 37h-19l4 16h263"],119881:[653,16,575,60,760,"760 653l-4 -16c-65 -4 -106 -43 -132 -77l-441 -576h-24v571c0 58 -38 82 -99 82l4 16h294l-4 -16h-19c-65 0 -70 -37 -70 -70v-391l4 -1l280 366c19 24 38 53 38 74c0 15 -14 22 -52 22h-20l4 16h241"],119882:[653,16,916,60,1101,"1101 653l-4 -16c-66 -3 -109 -44 -134 -77l-438 -576h-29v442h-11l-297 -442h-29v569c0 55 -33 84 -89 84h-10l4 16h288l-4 -16h-7c-39 0 -76 0 -76 -71v-377h5l226 332v61c0 31 -19 55 -82 55h-8l4 16h285l-4 -16h-18c-62 0 -71 -37 -71 -72v-395h6l278 370 c17 22 40 53 40 72c0 16 -13 25 -54 25h-17l4 16h242"],119883:[653,0,790,25,810,"810 653l-4 -16h-4c-69 0 -98 -32 -135 -74l-187 -213l96 -266c12 -34 29 -68 79 -68h14l-4 -16h-281l4 16h11c38 0 67 4 67 41c0 8 -1 16 -4 26l-69 194l-181 -201c-9 -10 -12 -19 -12 -28c0 -19 18 -32 56 -32h22l-4 -16h-249l4 16c54 7 103 37 140 77l208 230l-85 231 c-11 31 -28 83 -102 83h-9l4 16h283l-4 -16h-19c-30 0 -52 -4 -52 -35c0 -8 2 -17 6 -28l60 -179l164 184c9 11 15 23 15 34c-1 16 -13 24 -45 24h-9l4 16h222"],119884:[653,0,535,35,695,"695 653l-4 -16c-55 -4 -93 -31 -124 -69l-209 -256l-59 -234c-2 -9 -3 -15 -3 -26c0 -21 18 -36 76 -36h20l-4 -16h-328l4 16h17c77 0 97 28 105 62l61 246l-89 237c-17 45 -46 76 -123 76l4 16h299l-4 -16h-19c-50 0 -58 -15 -58 -40c0 -9 5 -20 7 -27l75 -207h4 l174 212c12 15 16 23 16 34c0 19 -21 28 -79 28l4 16h237"],119885:[653,0,772,60,802,"802 653l-566 -615h218c94 0 182 11 217 140h16l-46 -178h-581l573 616h-202c-96 0 -185 -6 -223 -121h-17l48 158h563"],119886:[441,10,502,40,472,"472 428l-91 -345s-1 -2 -1 -11c0 -11 6 -17 14 -17c10 0 25 2 64 54l12 -12c-31 -47 -85 -107 -133 -107c-33 0 -42 23 -42 55c0 13 6 34 11 50h-4c-72 -92 -134 -105 -173 -105c-63 0 -89 55 -89 119c0 132 132 332 276 332c43 0 64 -24 66 -46h1l9 33h80zM367 341 c0 41 -12 71 -50 71c-68 0 -128 -87 -162 -171c-18 -45 -28 -89 -28 -124c0 -53 31 -66 58 -66c69 0 139 95 167 190c8 26 15 66 15 100"],119887:[668,11,470,45,450,"214 382l4 -4c33 32 72 63 121 63c70 0 111 -69 111 -151c0 -121 -109 -301 -266 -301c-53 0 -94 18 -139 48l144 563c1 4 2 8 2 11c-1 13 -16 21 -29 21c-10 0 -22 -1 -30 -4l-3 16l158 24zM179 252l-55 -215c0 -7 32 -19 55 -19c122 0 188 174 188 276 c0 70 -38 92 -71 92c-72 0 -106 -89 -117 -134"],119888:[441,11,415,40,400,"363 111l12 -13c-51 -60 -113 -109 -198 -109c-97 0 -137 78 -137 155c0 140 121 297 263 297c50 0 97 -27 97 -76c0 -38 -16 -70 -54 -70c-26 0 -38 21 -38 38c0 24 29 36 29 58c0 12 -10 21 -34 21c-119 0 -176 -179 -176 -259c0 -87 49 -109 94 -109 c61 0 107 33 142 67"],119889:[668,12,532,40,527,"527 668l-149 -598c-1 -3 -2 -9 -2 -12c0 -6 5 -9 15 -9c20 0 48 35 62 56l11 -12c-30 -45 -83 -105 -130 -105c-32 0 -40 23 -40 41c0 20 2 34 10 64h-5c-74 -93 -134 -105 -171 -105c-73 0 -88 74 -88 127c0 103 103 326 257 326c57 0 80 -26 81 -50h2l53 209 c1 4 2 8 2 12c0 13 -7 20 -33 20c-9 0 -20 -2 -27 -3l-4 15zM363 340c0 47 -15 71 -56 71c-99 0 -180 -200 -180 -296c0 -49 28 -66 56 -66c70 0 136 94 164 186c11 35 16 74 16 105"],119890:[441,11,445,40,410,"363 112l14 -13c-70 -86 -138 -110 -200 -110c-98 0 -137 84 -137 156c0 23 1 37 6 60c25 111 135 236 262 236c42 0 102 -14 102 -76c0 -127 -167 -176 -286 -182v-28c0 -64 52 -107 113 -107c42 0 90 18 126 64zM124 211h9c104 0 198 69 198 157c0 25 -19 43 -44 43 c-74 0 -134 -115 -163 -200"],119891:[668,187,555,40,615,"248 437h37c63 0 58 77 101 141c31 47 74 90 150 90c50 0 79 -24 79 -59c0 -28 -21 -40 -41 -40c-28 0 -35 11 -35 25s9 29 9 37c0 5 -3 8 -15 8c-50 0 -89 -54 -110 -132l-19 -70h80l-12 -38h-76l-79 -306c-7 -27 -15 -65 -30 -102c-33 -83 -87 -178 -175 -178 c-48 0 -72 24 -72 54c0 24 14 49 43 49c27 0 37 -18 37 -33c0 -19 -16 -20 -16 -32c0 -6 6 -9 15 -9c65 0 95 158 110 215l87 342h-77"],119892:[441,187,492,20,492,"492 413l-13 -45h-81c13 -15 17 -28 17 -50c0 -75 -53 -137 -141 -148c-59 -8 -88 -33 -88 -58c0 -63 233 -23 233 -148c0 -71 -66 -151 -215 -151c-134 0 -184 57 -184 115s55 88 117 108c-17 11 -24 30 -24 47c0 38 37 87 85 87v4c-67 15 -94 62 -94 109 c0 79 68 158 174 158c42 0 73 -13 88 -28h126zM336 349c0 37 -10 62 -54 62c-54 0 -98 -71 -98 -139c0 -46 12 -81 56 -81c71 0 96 102 96 158zM349 -69c0 78 -132 73 -192 95c-8 -5 -18 -10 -26 -16c-26 -19 -48 -45 -48 -72c0 -47 44 -97 139 -97c91 0 127 46 127 90"],119894:[616,11,311,50,257,"257 566c0 -26 -22 -46 -48 -46c-29 0 -48 20 -48 46c0 25 19 50 48 50c26 0 48 -25 48 -50zM227 441l-92 -364c-1 -6 -1 -10 -1 -14c0 -7 6 -10 13 -10c22 0 28 12 64 51l13 -10c-35 -45 -85 -105 -134 -105c-28 0 -40 19 -40 46c0 12 0 31 79 338c1 2 2 9 2 12 c0 17 -8 22 -31 22c-9 0 -21 -2 -28 -4l-3 16"],119895:[616,187,389,-16,372,"372 566c0 -26 -22 -46 -48 -46c-29 0 -48 20 -48 46c0 25 19 50 48 50c26 0 48 -25 48 -50zM351 441l-108 -425c-22 -88 -78 -203 -186 -203c-53 0 -73 33 -73 61c0 22 12 52 47 52c19 0 35 -15 35 -38c0 -15 -16 -18 -16 -34c0 -4 5 -10 10 -10c46 0 79 76 103 172 l92 363c0 12 -10 22 -32 22c-8 0 -20 -2 -27 -5l-3 17"],119896:[668,11,542,45,527,"527 428l-4 -12c-67 -7 -95 -25 -133 -58l-106 -92l64 -152c15 -35 27 -59 53 -59c30 0 52 43 74 73l15 -11c-12 -21 -59 -128 -127 -128c-46 0 -67 53 -78 79l-63 147l-56 -49l-45 -166h-76l148 589c2 6 3 13 3 20c0 11 -10 22 -32 22c-9 0 -19 0 -27 -2l-3 14l158 25 l-113 -456l167 149c11 10 21 23 21 36c0 12 -16 19 -26 19h-12l4 12h194"],119897:[668,10,318,45,278,"278 668l-148 -591s-1 -4 -1 -11s4 -13 12 -13c23 0 53 39 62 55l16 -12c-34 -40 -77 -106 -135 -106c-30 0 -39 26 -39 51c0 12 3 26 6 36l128 510c3 13 3 21 3 24c0 12 -8 22 -31 22c-7 0 -19 -2 -27 -3l-3 15"],119898:[441,8,710,30,680,"667 107l13 -11c-32 -54 -84 -104 -131 -104c-22 0 -39 10 -39 49c0 7 1 17 6 37l56 221c4 14 6 23 6 40c0 20 -6 38 -24 38c-54 0 -164 -181 -179 -242l-34 -135h-79l77 299c2 9 5 25 5 40c0 20 -5 38 -23 38c-52 0 -162 -181 -178 -242l-35 -135h-78l95 374 c0 18 -6 31 -33 31c-8 0 -19 -1 -27 -2l-2 14l157 24l-44 -169h6c94 143 154 169 192 169c37 0 55 -37 55 -81c0 -17 -3 -32 -9 -52l-10 -36h5c29 52 81 114 130 147c22 15 41 22 61 22c36 0 54 -26 54 -71c0 -18 -1 -37 -7 -61l-61 -231c-1 -3 -2 -9 -2 -12 c0 -8 6 -12 15 -12c17 0 43 16 62 53"],119899:[441,8,497,30,467,"467 96l-5 -6c-28 -34 -76 -98 -128 -98c-32 0 -41 23 -41 46c0 13 4 29 7 40l57 221c2 8 7 28 7 42c0 19 -6 38 -24 38c-38 0 -101 -86 -132 -133c-36 -54 -62 -101 -68 -122l-33 -124h-77l95 374c0 18 -3 32 -30 32c-10 0 -21 -2 -28 -3l-2 15l159 23l-51 -189h3 c5 0 54 70 56 73c40 50 100 116 160 116c44 0 56 -29 56 -62c0 -25 -6 -50 -11 -70l-59 -231c-1 -2 -1 -5 -1 -10c1 -6 4 -14 15 -14c24 0 48 36 62 53"],119900:[441,11,458,40,438,"438 287c0 -139 -110 -298 -263 -298c-101 0 -135 90 -135 163c0 128 103 289 251 289c80 0 147 -46 147 -154zM357 318c0 38 -14 93 -67 93c-82 0 -169 -149 -169 -285c0 -33 3 -107 59 -107c106 0 177 223 177 299"],119901:[441,183,489,-30,474,"253 370l14 13c39 37 78 58 113 58c61 0 94 -54 94 -155c0 -129 -110 -298 -254 -298c-24 0 -42 4 -61 19l-24 -100c-3 -13 -5 -24 -5 -35c0 -22 11 -43 61 -43h16l-3 -12h-234l3 12c62 3 69 33 81 79l117 464c0 19 -1 33 -31 33c-8 0 -20 -2 -28 -4l-2 16l158 24 l-18 -69zM214 238l-46 -200c14 -16 34 -21 46 -21c101 0 176 173 176 285c0 63 -28 83 -51 83c-53 0 -105 -61 -125 -147"],119902:[441,183,458,40,463,"463 428l-131 -522c-3 -10 -3 -20 -3 -29c0 -30 19 -48 49 -48h14l-3 -12h-250l3 12h19c68 0 84 41 93 78l44 184h-6c-67 -93 -127 -103 -163 -103c-64 0 -89 58 -89 115c0 123 80 246 169 304c31 21 63 34 91 34c48 0 70 -26 72 -52h3l7 39h81zM358 338 c0 43 -13 74 -49 74c-21 0 -41 -11 -61 -27c-64 -52 -123 -185 -123 -273c0 -27 9 -63 52 -63c17 0 40 4 58 17c63 45 123 159 123 272"],119903:[441,0,408,30,393,"175 267l5 -1c9 18 21 38 32 56c34 54 82 119 137 119c29 0 44 -21 44 -48c0 -38 -24 -82 -65 -82c-39 0 -29 38 -47 38c-61 0 -148 -256 -153 -273l-21 -76h-77l92 364c3 11 4 18 4 23c0 13 -11 19 -33 19c-7 0 -21 -2 -27 -3l-2 15l157 23"],119904:[441,11,440,50,390,"390 441l-24 -146h-15c0 64 -36 120 -92 120c-25 0 -51 -17 -51 -58c0 -55 134 -147 134 -242c0 -62 -48 -125 -135 -125c-34 0 -98 20 -110 20c-9 0 -18 -4 -30 -21h-17l25 156h16c0 -63 41 -130 104 -130c59 0 73 50 73 89c0 82 -130 132 -130 230c0 79 59 107 114 107 c43 0 63 -20 92 -20c11 0 22 10 30 20h16"],119905:[567,9,313,40,283,"283 438l-10 -38h-70l-78 -320c-1 -3 -2 -8 -2 -11c0 -6 3 -12 16 -12c0 0 23 2 60 52l13 -11c-24 -31 -74 -107 -133 -107c-31 0 -39 25 -39 52c0 13 2 26 5 37l81 320h-77l5 29c75 14 136 51 177 138h13l-31 -129h70"],119906:[441,9,474,30,444,"444 428l-89 -348c-1 -4 -1 -6 -1 -9c0 -8 4 -14 14 -14c21 0 40 26 57 46l5 6l13 -11c-23 -33 -74 -107 -132 -107c-29 0 -40 19 -40 52c0 9 1 25 4 37l26 95h-1c-7 -5 -97 -126 -137 -156c-23 -17 -49 -28 -72 -28c-47 0 -61 36 -61 74c0 21 3 40 8 59l59 231 c4 15 6 21 6 25c0 12 -11 23 -33 23c-7 0 -19 -1 -26 -3l-3 15l157 26l-84 -326c-2 -9 -3 -16 -3 -24c0 -21 8 -34 26 -34c25 0 65 31 100 77c43 57 89 146 109 219l21 75h77"],119907:[458,9,506,72,479,"247 454l-89 -326c-3 -10 -4 -21 -4 -32c0 -38 20 -66 60 -66c108 0 178 113 210 203c8 24 15 49 15 74c0 74 -61 65 -61 109c0 34 25 42 54 42c42 0 47 -51 47 -83c0 -99 -39 -200 -97 -280c-43 -60 -120 -104 -194 -104c-64 0 -116 20 -116 93c0 21 3 42 9 62l58 210 c2 8 5 17 5 25c0 20 -44 20 -57 20v15c52 13 106 20 156 42"],119908:[460,9,775,72,748,"531 450l-80 -289c-6 -23 -12 -46 -12 -70c0 -39 19 -61 59 -61c108 0 164 115 195 203c8 24 15 49 15 74c0 74 -59 66 -61 109c-2 36 30 42 54 42c42 0 47 -51 47 -83c0 -146 -105 -384 -276 -384c-69 0 -111 28 -111 100c0 42 12 85 23 125 c-40 -89 -122 -225 -234 -225c-56 0 -78 34 -78 87c0 33 11 64 19 95l47 177c3 9 5 19 5 29c0 24 -38 22 -54 22v15c53 9 105 23 155 44l4 -3l-81 -307c-3 -13 -11 -45 -11 -73c0 -26 6 -47 28 -47c58 1 129 114 153 151c53 81 79 159 110 269h84"],119909:[441,9,550,30,510,"305 288l45 69c26 40 61 84 111 84c32 0 49 -12 49 -33c0 -19 -13 -42 -39 -42c-22 0 -27 9 -44 9c-30 0 -41 -16 -55 -38l-55 -85c30 -62 53 -197 98 -197c16 0 40 14 61 57l14 -10c-12 -15 -57 -111 -115 -111c-41 0 -60 41 -73 77l-40 113l-63 -98 c-32 -49 -61 -92 -117 -92c-36 0 -52 25 -52 47c0 16 13 37 38 37c26 0 22 -20 47 -20c12 0 38 10 70 59l65 101l-33 92c-17 48 -43 89 -98 89c-13 0 -28 -2 -38 -6l-3 18l132 33c44 -24 63 -65 75 -98"],119910:[440,183,496,30,496,"270 307l28 -235c61 83 96 143 118 184c20 37 28 57 28 75c0 21 -52 31 -52 69c0 22 18 40 47 40c32 0 57 -23 57 -62c0 -78 -162 -318 -204 -371c-73 -92 -138 -190 -206 -190c-37 0 -56 31 -56 55c0 30 27 41 40 41c43 0 41 -31 57 -31c17 0 74 62 100 102l-38 314 c-5 45 -14 105 -70 105c-11 0 -27 -3 -36 -4l-2 16l150 25c23 -33 30 -59 39 -133"],119911:[450,14,499,42,467,"467 450v-16l-322 -360l3 -1c19 14 44 21 67 21c92 0 95 -86 140 -86c15 0 27 8 27 24c0 13 -12 16 -12 38c0 19 19 38 38 38c25 0 40 -18 40 -42c0 -54 -60 -80 -106 -80c-22 0 -47 9 -68 14c-32 9 -66 14 -99 14c-40 0 -85 -8 -122 -24l-11 10l328 370h-131 c-57 0 -81 -6 -104 -61l-18 4l36 137h314"],120484:[441,11,278,47,235,"221 115l14 -12c-53 -82 -87 -114 -138 -114c-30 0 -50 19 -50 57c0 20 8 50 24 110l48 175c5 19 9 37 9 45c0 20 -9 23 -63 24v16c39 3 58 6 159 25l5 -3l-96 -342c-5 -19 -9 -35 -9 -45c0 -8 6 -15 16 -15c17 0 38 22 81 79"],120485:[441,207,278,-124,246,"246 438l-104 -410c-41 -162 -100 -235 -187 -235c-46 0 -79 25 -79 61c0 24 18 44 41 44c27 0 39 -16 39 -37c0 -22 -12 -19 -12 -34c0 -7 6 -12 18 -12c40 0 63 44 97 182l72 292c12 49 16 70 16 80c0 22 -12 31 -48 31h-26v16c32 2 85 10 169 25"],120546:[667,0,717,35,685,"685 0h-285v16h16c56 0 72 21 72 61c0 6 -1 14 -2 21l-13 113h-198l-84 -140c-7 -8 -10 -19 -10 -26c1 -18 17 -29 43 -29h29v-16h-218v16c35 4 72 16 108 74l356 577h18l78 -581c7 -49 32 -70 74 -70h16v-16zM466 248l-25 227h-6l-139 -227h170"],120547:[653,0,696,38,686,"198 653h252c84 0 236 -9 236 -145c0 -78 -43 -123 -91 -147c-25 -13 -54 -21 -74 -26l3 -4c60 -11 127 -53 127 -138c0 -99 -82 -193 -289 -193h-324l4 16h20c76 0 95 29 103 63l123 495c1 5 2 15 2 21c0 26 -19 42 -78 42h-19zM406 611l-59 -252c20 -4 38 -6 53 -6 c112 0 168 66 168 163c0 77 -65 98 -119 98c-15 0 -30 -1 -43 -3zM338 314l-68 -267c25 -7 45 -9 71 -9c94 0 190 42 190 172c0 73 -64 108 -142 108c-16 0 -36 0 -51 -4"],120548:[653,0,616,38,721,"721 653l-39 -175h-17c1 9 5 36 5 50c-1 78 -68 88 -114 88h-146l-133 -538c-2 -9 -4 -17 -4 -24c0 -26 23 -38 79 -38h32l-4 -16h-342l4 16h18c77 0 97 28 105 62l123 497c2 8 4 17 4 24c0 21 -16 39 -76 39h-19l4 15h520"],120549:[667,0,596,30,556,"556 0h-526l412 667h19zM429 82l-45 393h-6l-241 -393h292"],120550:[653,0,714,38,734,"734 653l-42 -158h-16c1 13 2 24 2 35c-3 74 -58 87 -109 87h-160l-60 -248h80c60 0 104 13 126 95h16l-58 -242h-17c1 13 6 43 6 60c0 47 -41 51 -72 51h-90l-66 -258c-1 -4 -2 -7 -2 -10c0 -16 16 -27 63 -27h67c158 0 214 47 257 160h16l-66 -198h-571l4 16h19 c73 0 96 28 104 62l120 488c4 18 5 29 5 36c0 24 -16 35 -75 35h-19l4 16h534"],120551:[653,0,772,60,802,"802 653l-566 -615h218c94 0 182 11 217 140h16l-46 -178h-581l573 616h-202c-96 0 -185 -6 -223 -121h-17l48 158h563"],120552:[653,0,873,38,923,"923 653l-4 -16h-18c-76 0 -97 -28 -106 -63l-123 -496c-2 -9 -4 -18 -4 -28c0 -21 19 -34 78 -34h19l-4 -16h-329l4 16h18c72 0 96 25 105 62l61 242h-280l-61 -242c-2 -6 -4 -16 -4 -24c0 -24 18 -38 77 -38h20l-4 -16h-330l4 16h18c75 0 98 28 106 62l123 496 c2 6 4 17 4 24c0 21 -16 39 -78 39h-20l4 16h330l-4 -16h-18c-79 0 -97 -28 -105 -63l-52 -217h278l53 217c2 10 4 17 4 24c0 24 -19 39 -76 39h-20l4 16h330"],120553:[669,11,737,50,712,"520 425h16c-19 -49 -30 -106 -30 -163v-27h-16c-1 41 -16 57 -51 57h-117c-37 0 -53 -13 -74 -57h-16c20 50 30 113 30 176v14h16c8 -45 18 -57 56 -57h118c33 0 55 20 68 57zM712 395c0 -190 -167 -406 -410 -406c-149 0 -252 95 -252 233c0 203 157 447 412 447 c182 0 250 -136 250 -274zM596 444c0 106 -40 188 -142 188c-233 0 -283 -315 -283 -456c0 -99 61 -149 139 -149c211 0 286 265 286 417"],120554:[653,0,480,38,530,"530 653l-4 -16h-19c-76 0 -97 -26 -106 -62l-123 -497c-2 -8 -3 -19 -3 -29c0 -21 19 -33 78 -33h17l-4 -16h-328l4 16h19c76 0 97 28 105 62l123 497c2 8 4 17 4 24c0 22 -17 38 -77 38h-18l4 16h328"],120555:[653,0,762,38,802,"802 653l-4 -16c-51 0 -78 -20 -120 -53l-271 -211l187 -278c29 -43 62 -79 127 -79l-4 -16h-287l4 16h11c28 0 47 5 47 33c0 16 -8 22 -16 35l-156 237h-4l-62 -243c-2 -8 -3 -15 -3 -22c0 -24 19 -40 78 -40h17l-4 -16h-304l4 16h18c60 0 77 35 84 62l117 472 c7 27 10 28 10 49c0 22 -16 38 -76 38h-18l4 16h312l-4 -16h-11c-75 0 -88 -27 -97 -62l-53 -209h5l282 221c10 8 18 16 18 29c-1 14 -9 21 -51 21l4 16h216"],120556:[667,0,718,35,686,"686 0h-287l2 16h15c54 0 70 25 70 61c0 7 0 14 -1 21l-44 378h-5l-245 -405c-6 -9 -10 -18 -10 -26c0 -18 17 -29 43 -29h29v-16h-218v16c35 4 72 16 108 74l357 577h17l78 -569c9 -64 33 -82 74 -82h17v-16"],120557:[653,0,1005,38,1055,"1055 653l-4 -16h-17c-80 0 -96 -25 -105 -61l-127 -498c-2 -7 -2 -19 -2 -28c0 -19 19 -34 77 -34h19l-4 -16h-330l4 16h17c79 0 97 30 105 62l112 439h-6l-345 -517h-25l-94 517h-3l-109 -428c-3 -13 -5 -28 -5 -40c0 -21 17 -33 76 -33h20l-4 -16h-267l4 16h19 c79 0 98 33 108 73l119 475c4 17 5 29 5 38c0 20 -15 35 -77 35h-19l4 16h213l89 -493h4l333 493h215"],120558:[653,0,851,38,901,"901 653l-4 -16h-18c-75 0 -98 -26 -107 -63l-144 -574h-24l-274 526h-6l-108 -448c-2 -8 -3 -16 -3 -27c0 -20 17 -35 76 -35h19l-4 -16h-266l4 16h18c75 0 98 28 106 62l126 509c-19 43 -62 50 -92 50h-19l4 16h200l236 -465h5l97 386c2 9 4 16 4 26 c0 20 -17 37 -76 37h-20l4 16h266"],120559:[653,0,706,52,741,"741 653l-35 -152h-16c3 13 3 24 3 33c0 43 -29 43 -70 43h-299c-52 0 -81 -20 -96 -76h-16l37 152h492zM609 450l-52 -209h-15c2 18 2 26 2 26c0 25 -17 41 -39 41h-185c-39 0 -68 -35 -79 -67h-16l52 209h16c-1 -5 -3 -19 -3 -25c0 -35 26 -41 63 -41h145 c71 0 82 20 95 66h16zM629 158l-40 -158h-537l40 158h13v-14v-21c0 -35 28 -41 65 -41h339c58 0 79 1 104 76h16"],120560:[669,11,732,50,712,"712 420c0 -198 -156 -431 -409 -431c-149 0 -253 96 -253 233c0 203 158 447 413 447c167 0 249 -123 249 -249zM596 443c0 107 -40 189 -141 189c-232 0 -284 -313 -284 -455c0 -97 62 -150 140 -150c212 0 285 275 285 416"],120561:[653,0,873,38,923,"923 653l-4 -16h-19c-76 0 -96 -25 -105 -61l-123 -498c-2 -7 -3 -19 -3 -27c0 -23 16 -35 77 -35h20l-4 -16h-331l4 16h18c74 0 95 17 106 62l132 538h-278l-133 -538c-2 -10 -3 -18 -3 -26c0 -31 26 -36 75 -36h19l-4 -16h-329l4 16h18c71 0 97 25 106 62l122 498 c2 8 3 16 3 24c0 24 -17 37 -76 37h-20l4 16h724"],120562:[653,0,594,38,704,"201 653h271c170 0 232 -86 232 -160c0 -98 -81 -199 -285 -199c-28 0 -50 1 -74 5c-5 0 -8 1 -12 2l-56 -223c-2 -8 -3 -15 -3 -23c0 -24 18 -39 77 -39h32l-4 -16h-341l4 16h17c77 0 97 28 106 62l125 497c2 8 4 17 4 25c0 21 -17 37 -78 37h-19zM411 613l-68 -274 c16 -4 40 -8 60 -8c102 0 182 70 182 172c0 60 -30 113 -125 113c-17 0 -32 -1 -49 -3"],120563:[669,11,737,50,712,"712 395c0 -190 -167 -406 -410 -406c-149 0 -252 95 -252 233c0 203 157 447 412 447c182 0 250 -136 250 -274zM195 368h395c4 27 6 53 6 76c0 106 -40 188 -142 188c-151 0 -225 -133 -259 -264zM575 292h-395c-7 -44 -9 -85 -9 -116c0 -99 61 -149 139 -149 c149 0 231 133 265 265"],120564:[653,0,735,58,760,"760 653l-40 -159h-16c3 7 3 19 3 29c0 91 -65 93 -129 93h-205l161 -255l-317 -279h315c77 0 123 34 159 109h16l-83 -191h-566l378 327l-210 326h534"],120565:[653,0,550,25,670,"670 653l-46 -179h-16c2 17 5 44 5 71c0 66 -58 71 -99 71h-98l-133 -538c-2 -9 -5 -16 -5 -25c0 -21 16 -37 76 -37h21l-4 -16h-329l4 16h18c78 0 98 28 106 62l133 538h-91c-83 0 -153 -61 -171 -142h-16l46 179h599"],120566:[668,0,613,28,743,"743 604l-16 -8c-9 19 -32 29 -52 29c-43 0 -101 -64 -127 -95l-178 -215l-59 -237c-2 -8 -4 -17 -4 -26c0 -35 52 -36 77 -36h21l-4 -16h-328l4 16c53 0 106 0 121 62l60 245l-74 203c-6 16 -22 49 -33 61c-16 18 -39 24 -62 24c-19 0 -36 -4 -53 -11l-8 17 c9 11 59 38 74 43c13 4 30 8 43 8c99 0 125 -76 152 -155l53 -153l188 224c35 41 75 81 133 81c41 0 64 -21 72 -61"],120567:[653,0,772,25,747,"508 578l-9 -31c120 0 248 -49 248 -176c0 -194 -219 -276 -343 -276h-19l-7 -31c-1 -5 -2 -11 -2 -15c0 -24 22 -33 73 -33h26l-4 -16h-330l3 16c87 0 111 13 129 79h-13c-160 0 -235 78 -235 158c0 211 198 294 361 294c8 23 10 43 10 51c0 24 -18 39 -75 39h-19l4 16 h321l-4 -16h-16c-72 0 -91 -31 -99 -59zM490 510l-95 -377c112 0 233 80 233 241c0 71 -41 136 -138 136zM283 133l93 377c-133 0 -232 -145 -232 -256c0 -65 42 -121 139 -121"],120568:[653,0,790,25,810,"810 653l-4 -16h-4c-69 0 -98 -32 -135 -74l-187 -213l96 -266c12 -34 29 -68 79 -68h14l-4 -16h-281l4 16h11c38 0 67 4 67 41c0 8 -1 16 -4 26l-69 194l-181 -201c-9 -10 -12 -19 -12 -28c0 -19 18 -32 56 -32h22l-4 -16h-249l4 16c54 7 103 37 140 77l208 230l-85 231 c-11 31 -28 83 -102 83h-9l4 16h283l-4 -16h-19c-30 0 -52 -4 -52 -35c0 -8 2 -17 6 -28l60 -179l164 184c9 11 15 23 15 34c-1 16 -13 24 -45 24h-9l4 16h222"],120569:[667,0,670,28,743,"743 667l-4 -16c-27 -6 -45 -26 -55 -51c-5 -13 -8 -27 -11 -41c-9 -42 -18 -85 -37 -124c-59 -124 -155 -165 -288 -165l-43 -181c-3 -14 -8 -28 -8 -43c0 -27 46 -31 77 -31c8 0 16 0 21 1l-4 -16h-328l4 16c70 0 108 -4 126 73l42 181c-91 0 -203 34 -203 143 c0 63 34 121 34 184c0 25 -10 51 -38 54l4 16h18c66 0 112 -50 112 -115c0 -62 -41 -114 -41 -176c0 -64 76 -69 124 -69l54 218c6 25 17 64 17 77c0 38 -69 34 -94 35l4 16h321l-4 -16c-45 0 -103 -3 -116 -56l-68 -274c111 0 150 58 181 156c11 36 18 74 35 108 c31 64 78 96 150 96h18"],120570:[666,0,800,32,777,"280 94l5 37c-98 32 -147 99 -147 203c0 47 14 93 41 139c23 38 53 73 91 104c72 60 163 89 273 89c83 0 146 -24 186 -73c32 -39 48 -92 48 -157c0 -76 -28 -144 -84 -202c-51 -53 -118 -87 -198 -103l-7 -37h128c38 4 65 11 79 19c20 12 37 34 49 66l18 -5l-56 -174 h-280l40 166c62 14 114 52 155 115c34 53 51 110 51 171c0 120 -47 181 -140 181c-72 0 -136 -29 -192 -87c-65 -68 -97 -140 -97 -216c0 -44 8 -80 23 -109c15 -28 35 -47 61 -55l-24 -166h-271l42 179l17 -5c-3 -13 -4 -25 -4 -36c0 -29 21 -44 62 -44h131"],120571:[653,15,627,42,600,"600 653l-400 -668h-26l-132 668h558zM499 559h-342l87 -432"],120572:[441,10,524,40,529,"529 428l-139 -241v-37c0 -48 10 -99 34 -99c12 0 27 19 46 74l15 -7c-18 -73 -51 -128 -95 -128c-36 0 -64 41 -66 87h-2c-34 -50 -86 -87 -153 -87c-85 0 -129 78 -129 161c0 22 1 41 7 66c28 117 117 224 225 224c77 0 114 -66 114 -136l64 123h79zM322 273 c0 68 -4 138 -62 138c-57 0 -136 -127 -136 -286c0 -57 4 -105 54 -105c64 0 120 127 139 182c4 20 5 44 5 71"],120573:[668,183,493,25,518,"47 -105l116 479c34 142 57 173 133 239c34 29 77 55 123 55c55 0 99 -46 99 -114c0 -73 -38 -151 -100 -179v-1c41 -11 56 -55 56 -102c0 -66 -30 -146 -63 -188c-44 -56 -110 -96 -192 -96c-25 0 -43 4 -64 21l-28 -122c-6 -28 -18 -59 -23 -70h-79c7 16 17 57 22 78z M266 459l-102 -419c17 -18 37 -23 49 -23c117 0 176 181 176 278c0 34 -5 63 -21 63c-19 0 -24 -8 -42 -8s-32 10 -32 22c0 11 11 27 47 27c8 0 30 -5 44 -5c44 0 60 99 60 124c0 46 -17 100 -61 100c-75 0 -97 -74 -118 -159"],120574:[441,187,428,35,458,"458 428l-266 -371c-5 -53 -8 -86 -16 -128c-15 -73 -43 -116 -83 -116c-24 0 -36 20 -36 44c0 81 59 127 95 200c10 71 13 127 13 182c0 36 -1 138 -58 138c-18 0 -36 -19 -56 -74h-16c18 64 51 138 102 138c53 0 66 -58 66 -128c0 -62 -11 -132 -14 -179l179 294h90"],120575:[668,11,463,40,451,"451 608c0 -21 -15 -46 -46 -46c-67 0 -13 65 -104 65c-38 0 -90 -29 -90 -67c0 -95 224 -152 224 -293c0 -33 -5 -79 -18 -112c-35 -86 -116 -166 -231 -166c-97 0 -146 65 -146 145c0 119 99 251 239 265c-46 46 -104 77 -104 131c0 96 101 138 167 138 c50 0 109 -16 109 -60zM351 269c0 44 -15 100 -54 100c-86 0 -179 -160 -179 -249c0 -55 27 -102 70 -102c90 0 163 156 163 251"],120576:[441,11,484,25,444,"444 372l-14 -8c-25 36 -60 47 -120 47c-63 0 -139 -44 -139 -113c0 -32 33 -51 78 -51c21 0 37 9 62 9c22 0 38 -7 38 -20c0 -17 -10 -31 -43 -31c-9 0 -40 6 -61 6c-49 0 -133 -33 -133 -103c0 -61 65 -78 125 -78c53 0 118 26 151 73l13 -10 c-42 -59 -99 -104 -210 -104c-124 0 -166 50 -166 102c0 73 49 120 116 137c-35 12 -58 33 -58 66c0 81 83 147 225 147c62 0 123 -33 136 -69"],120577:[668,183,435,40,480,"290 668l4 -16c-50 -18 -74 -49 -74 -74c0 -20 16 -38 49 -45c37 42 127 106 179 106c22 0 32 -9 32 -24c0 -45 -104 -105 -196 -113c-87 -61 -186 -198 -186 -329c0 -55 27 -91 92 -91c2 0 19 1 47 1c81 0 124 -26 124 -99c0 -85 -99 -167 -181 -167 c-35 0 -53 30 -53 54c0 22 15 42 48 42c21 0 35 -30 53 -30c44 0 97 27 97 68c0 39 -34 49 -82 49c-11 0 -60 -9 -76 -9c-72 0 -127 56 -127 142c0 161 97 279 200 371v1c-32 0 -73 20 -73 59c0 41 41 84 123 104"],120578:[441,183,460,30,455,"173 251h2l57 73c54 69 104 117 163 117c39 0 60 -20 60 -54c0 -22 -9 -52 -15 -78l-75 -313c-15 -63 -23 -113 -23 -144c0 -14 1 -27 5 -35h-76c-9 11 -11 28 -11 46c0 41 14 98 99 436c3 10 8 31 8 48s-11 29 -28 29c-40 0 -170 -169 -200 -271l-31 -105h-78l77 304 c6 25 13 45 13 59c0 9 -2 13 -13 13c-22 0 -44 -29 -60 -50l-13 10c5 7 22 34 46 58c25 25 62 47 84 47c32 0 41 -17 41 -41c0 -42 -23 -111 -32 -149"],120579:[668,11,484,40,474,"474 472c0 -196 -143 -483 -297 -483c-95 0 -137 59 -137 179c0 174 116 500 306 500c73 0 128 -63 128 -196zM159 344h206c15 70 25 125 25 166c0 73 -10 129 -51 129c-72 0 -154 -176 -180 -295zM356 308h-207c-16 -50 -25 -117 -25 -165c0 -69 15 -125 58 -125 c67 0 127 131 158 230c7 23 13 51 16 60"],120580:[441,11,267,50,227,"227 441l-92 -364c-1 -6 -1 -10 -1 -14c0 -7 6 -11 13 -11c22 0 28 13 64 52l13 -10c-35 -45 -85 -105 -134 -105c-28 0 -40 19 -40 46c0 12 0 27 79 334c1 2 2 9 2 12c0 17 -8 22 -31 22c-9 0 -21 -2 -28 -4l-3 16"],120581:[441,0,534,50,549,"193 251l183 136c61 45 88 54 126 54c34 0 47 -19 47 -41c0 -20 -12 -38 -42 -38s-27 27 -60 27c-21 0 -42 -13 -52 -21l-143 -113l112 -187c24 -40 40 -45 101 -52l-1 -16h-235l1 16c10 0 58 0 58 17c0 7 -7 25 -13 33l-90 153l-57 -219h-78l94 371v9c0 11 -9 20 -32 20 c-8 0 -17 -1 -28 -3l-2 15l161 27"],120582:[668,16,541,50,511,"495 124h16c-22 -82 -55 -140 -104 -140c-28 0 -54 38 -54 95c0 61 9 115 16 218l-218 -297h-101l319 431c1 8 2 20 2 31c0 7 0 35 -1 46c-5 67 -27 96 -56 96c-15 0 -32 -18 -53 -74h-16c17 63 49 138 104 138c36 0 55 -46 55 -136v-383c0 -36 2 -101 38 -101 c15 0 32 19 53 76"],120583:[428,183,579,30,549,"549 428l-86 -338c-4 -16 -8 -29 -8 -39c0 -8 5 -14 17 -14c23 0 45 27 57 48l15 -6c-15 -44 -84 -106 -131 -106c-29 0 -41 13 -41 41s14 94 33 171c-97 -146 -148 -191 -194 -191c-17 0 -36 11 -41 25c-36 -142 -43 -176 -66 -202h-74c14 20 30 53 45 114l125 497h79 l-71 -298c-2 -9 -4 -18 -4 -27c0 -27 14 -45 54 -45c53 0 178 216 197 299l16 71h78"],120584:[446,9,452,50,462,"444 446l18 -5c-18 -176 -113 -343 -269 -450h-21l-62 369c-5 32 -20 42 -44 42h-16v16c71 3 90 12 128 23l60 -350c109 83 172 233 206 355"],120585:[668,183,433,25,443,"293 668l4 -16c-70 -21 -76 -60 -76 -70c0 -14 9 -31 32 -31c46 35 104 67 144 67c31 0 46 -14 46 -34c0 -43 -85 -71 -156 -71c-52 0 -86 -43 -86 -78c0 -19 9 -35 31 -52c44 29 100 46 140 46c32 0 55 -11 55 -29c0 -52 -88 -62 -123 -62c-22 0 -44 2 -68 9 c-84 -32 -154 -103 -154 -186c0 -58 27 -78 109 -78c22 0 36 1 49 1c81 0 124 -27 124 -100c0 -85 -101 -167 -181 -167c-35 0 -53 30 -53 54c0 22 15 42 48 42c21 0 35 -30 53 -30c44 0 97 27 97 68c0 39 -34 49 -82 49c-19 0 -56 -9 -74 -9c-91 1 -147 33 -147 118 c0 115 75 204 170 256c-22 19 -30 37 -29 69c2 37 27 68 57 89c-28 7 -50 29 -50 51c0 44 38 80 120 94"],120586:[441,11,458,40,438,"438 287c0 -139 -110 -298 -263 -298c-101 0 -135 90 -135 163c0 128 103 289 251 289c80 0 147 -46 147 -154zM357 318c0 38 -14 93 -67 93c-82 0 -169 -149 -169 -285c0 -33 3 -107 59 -107c106 0 177 223 177 299"],120587:[428,13,558,35,568,"568 428l-23 -73h-112c-14 -43 -67 -171 -67 -238c0 -23 16 -48 38 -48c21 0 49 12 73 66h16c-21 -72 -74 -142 -144 -142c-40 0 -57 36 -57 75c0 23 3 43 9 62c23 71 53 141 78 225h-94c-46 -122 -77 -294 -161 -357c-11 -9 -26 -11 -38 -11c-26 0 -51 20 -51 44 c0 15 5 41 31 48c43 12 61 41 74 70l89 206c-58 0 -95 0 -139 -53h-16c44 80 108 126 212 126h282"],120588:[441,183,502,30,472,"30 -183l84 336c39 157 99 226 166 259c32 16 62 29 98 29c61 0 94 -54 94 -155c0 -129 -110 -298 -254 -298c-24 0 -42 4 -61 18l-44 -189h-83zM212 238l-46 -200c14 -16 34 -21 46 -21c101 0 176 173 176 285c0 63 -28 83 -51 83c-53 0 -103 -53 -125 -147"],120589:[490,183,439,35,464,"464 438c0 -24 -14 -43 -48 -43c-40 0 -25 37 -63 37c-108 0 -260 -104 -260 -245c0 -56 9 -103 91 -103c23 0 37 1 46 1c56 0 126 -11 126 -92c0 -102 -92 -176 -181 -176c-35 0 -53 32 -53 56c0 22 15 42 48 42c21 0 35 -32 53 -32c44 0 97 31 97 71 c0 30 -21 49 -82 48c-22 0 -53 -9 -86 -9c-58 0 -117 51 -117 149c0 164 185 348 341 348c35 0 88 -13 88 -52"],120590:[428,11,537,40,547,"547 428l-20 -73h-173c22 -63 84 -68 84 -143c0 -112 -111 -223 -256 -223c-103 0 -142 88 -142 160c0 170 130 279 260 279h247zM286 355h-2c-67 -6 -163 -92 -163 -234c0 -32 11 -102 65 -102c99 0 172 126 172 207c0 64 -39 109 -72 129"],120591:[428,5,442,30,472,"472 428l-22 -73h-155c-23 -55 -41 -117 -60 -189c-5 -18 -7 -32 -7 -46c0 -34 9 -49 36 -49c26 0 60 31 77 67h16c-23 -78 -83 -143 -149 -143c-37 0 -64 15 -64 67c0 34 15 68 23 93l66 200h-51c-55 0 -105 -39 -136 -88h-16c28 65 111 161 207 161h235"],120592:[439,11,460,30,445,"293 425l2 14c100 -16 150 -70 150 -168c0 -125 -105 -282 -250 -282c-84 0 -138 44 -138 104c0 21 7 52 19 94l41 141c5 16 9 32 9 39c0 10 -6 14 -15 14c-16 0 -26 -4 -68 -56l-13 9c48 71 101 105 140 105c29 0 46 -6 46 -36c0 -17 -5 -35 -68 -240 c-8 -25 -13 -51 -13 -74c0 -41 17 -71 63 -71c119 0 187 173 187 271c0 81 -30 125 -92 136"],120593:[441,183,666,50,631,"247 19l34 130c38 147 109 289 245 289c59 0 105 -46 105 -155c0 -141 -118 -294 -311 -294l-40 -172h-83l43 172c-108 0 -190 61 -190 166c0 144 119 286 279 286h25l-5 -16c-115 -12 -215 -135 -215 -266c0 -79 50 -140 113 -140zM380 238l-53 -219 c95 0 220 139 220 270c0 81 -22 93 -44 93c-48 0 -103 -62 -123 -144"],120594:[441,202,595,30,645,"645 428l-290 -343c0 -178 11 -223 41 -223c14 0 34 14 54 67h16c-20 -77 -50 -131 -102 -131c-45 0 -55 52 -55 112c0 45 4 86 7 125l-185 -218h-101l296 349v78c0 92 -14 133 -52 133c-14 0 -37 -12 -57 -66h-16c17 61 42 130 102 130c36 0 56 -38 56 -138 c0 -10 0 -21 -1 -31l-4 -72l191 228h100"],120595:[441,183,661,30,711,"711 439v-16c-96 -13 -121 -124 -141 -213c-29 -128 -144 -221 -268 -221l-42 -172h-81l43 172h-10c-78 0 -153 41 -153 165c0 56 32 116 32 183c0 40 -14 81 -61 86l5 16c19 2 37 2 55 2c57 0 88 -54 88 -111c0 -56 -31 -127 -31 -185c0 -75 32 -119 83 -126l100 409h81 l-100 -409c73 14 145 78 170 187c28 120 51 233 204 233h26"],120596:[441,11,681,20,661,"465 425l6 16c115 0 190 -43 190 -161c0 -170 -141 -291 -245 -291c-59 0 -100 38 -104 89c-41 -50 -88 -89 -154 -89c-102 0 -138 92 -138 161c0 162 121 291 298 291h16l3 -16c-124 0 -235 -145 -235 -313c0 -46 23 -93 68 -93c58 0 114 59 127 105c-2 15 -3 37 -3 51 c0 73 25 186 97 186c19 0 33 -22 33 -47c0 -64 -42 -143 -78 -195c0 -50 17 -100 70 -100c88 0 165 187 165 273c0 96 -39 124 -116 133"],120597:[668,11,471,40,471,"195 625l-10 20c28 17 64 23 98 23c126 0 188 -90 188 -260c0 -148 -61 -419 -295 -419c-98 0 -136 77 -136 162c0 141 111 284 257 284c32 0 75 -11 96 -48c4 22 7 46 7 70c0 88 -29 181 -131 181c-27 0 -49 -5 -74 -13zM367 319c0 65 -34 86 -61 86 c-99 0 -185 -149 -185 -288c0 -38 4 -98 67 -98c77 0 136 100 164 202c9 33 15 67 15 98"],120598:[441,11,430,40,430,"430 441l-19 -132h-15c-7 46 -24 105 -93 105c-82 0 -139 -97 -161 -167h181l-5 -36h-185c-7 -20 -7 -41 -7 -66c0 -64 37 -101 92 -101c58 0 109 34 144 68l12 -14c-53 -60 -111 -109 -194 -109c-94 0 -140 69 -140 152c0 142 114 300 269 300c49 0 55 -20 83 -20 c12 0 19 11 23 20h15"],120599:[678,10,554,20,507,"33 205l-13 9c27 40 76 106 131 106c30 0 44 -16 44 -45c0 -62 -37 -115 -37 -186c0 -39 11 -78 57 -78c98 0 146 136 168 212c-108 47 -208 144 -208 269c0 106 68 186 177 186c112 0 155 -99 155 -197c0 -88 -17 -175 -47 -257c15 -5 29 -12 45 -14l-5 -19 c-17 1 -32 4 -49 8c-43 -103 -115 -209 -239 -209c-72 0 -134 22 -134 104c0 42 15 78 28 118c4 12 8 26 8 39c0 8 -3 14 -12 14c-21 0 -57 -45 -69 -60zM423 484c0 52 -5 161 -79 161c-68 0 -85 -95 -85 -147c0 -100 49 -191 134 -242c18 74 30 151 30 228"],120600:[441,13,561,12,587,"587 428l-156 -145c-14 -23 -28 -51 -42 -86c-14 -36 -21 -64 -21 -84c0 -27 16 -41 49 -41c34 0 51 -13 51 -38c0 -13 -6 -25 -17 -34s-25 -13 -42 -13c-25 0 -45 9 -61 26c-15 16 -22 36 -22 61c0 40 16 91 48 154l-1 1l-252 -229h-109l148 136c10 16 22 46 35 90 c13 43 20 77 20 100c0 19 -9 28 -26 28c-19 0 -31 2 -38 6c-11 7 -17 19 -17 36c0 14 7 26 21 35c10 7 20 10 32 10c45 0 68 -26 68 -77c0 -48 -15 -108 -45 -181l1 -1l268 246h108"],120601:[668,183,645,40,620,"480 668l-55 -228c103 0 195 -38 195 -155c0 -78 -27 -147 -80 -204c-60 -65 -139 -92 -226 -92l-48 -172h-81l46 172c-108 0 -191 56 -191 171c0 76 31 142 84 196c56 57 125 84 205 84h16c19 76 37 152 53 228h82zM418 411l-97 -392c121 0 214 151 214 261 c0 79 -32 132 -117 131zM240 19l99 392c-130 0 -215 -134 -215 -253c0 -63 46 -139 116 -139"],120602:[441,187,509,40,489,"221 -187l-14 7c3 5 4 9 4 16c0 38 -88 48 -134 101c-29 34 -37 75 -37 122c0 76 32 157 82 233c47 71 127 149 226 149c94 0 141 -64 141 -154c0 -142 -97 -297 -268 -297c-72 0 -119 48 -119 106h-2c-4 -15 -6 -17 -6 -44c0 -123 140 -98 140 -187 c0 -15 -4 -32 -13 -52zM409 324c0 38 -15 88 -64 88c-84 0 -189 -147 -189 -285c0 -42 19 -108 70 -108c126 0 183 225 183 305"],120603:[428,11,856,30,866,"866 428l-22 -73h-80c12 -23 18 -49 18 -83c0 -170 -141 -283 -245 -283c-59 0 -100 35 -104 86c-41 -50 -88 -86 -154 -86c-102 0 -138 89 -138 158c0 85 33 154 90 208h-50c-54 0 -102 -38 -135 -87h-16c27 78 110 160 207 160h629zM690 355h-371 c-59 -57 -96 -146 -96 -246c0 -46 23 -90 68 -90c58 0 114 56 127 102c-2 15 -4 37 -4 51c0 53 5 149 69 149c23 0 40 -19 40 -56c0 -55 -20 -97 -56 -149c0 -50 17 -97 70 -97c88 0 165 179 165 265c0 30 -4 52 -12 71"]};MathJax.Ajax.loadComplete(MathJax.OutputJax.SVG.fontDir+"/Normal/Italic/Main.js");
+MathJax.OutputJax.SVG.FONTDATA.FONTS["STIXMathJax_Normal-italic"]={directory:"Normal/Italic",family:"STIXMathJax_Normal",style:"italic",id:"STIXWEBNORMALI",skew:{119860:0.16,119861:0.14,119862:0.12,119863:0.1,119864:0.1,119865:0.1,119866:0.12,119867:0.1,119868:0.1,119869:0.1,119870:0.1,119871:0.05,119872:0.08,119873:0.08,119874:0.12,119875:0.05,119876:0.12,119877:0.1,119878:0.12,119883:0.12,119884:-0.05,119885:0.1,119886:0.09,119887:0.03,119888:0.09,119889:0.2,119890:0.09,119891:0.19,119892:0.08,119894:0.08,119895:0.16,119897:0.09,119898:0.09,119899:0.05,119900:0.09,119901:0.09,119902:0.1,119903:0.07,119904:0.07,119905:0.07,119906:0.05,119907:0.08,119908:0.1,119909:0.05,119910:0.1,119911:0.07,120484:0.05,120485:0.07,120546:0.16,120547:0.14,120548:0.09,120549:0.16,120550:0.14,120551:0.14,120552:0.1,120553:0.12,120554:0.1,120555:0.12,120556:0.16,120557:0.12,120558:0.1,120559:0.14,120560:0.14,120561:0.12,120562:0.08,120563:0.14,120564:0.14,120567:0.12,120568:0.14,120570:0.16,120571:0.05,120572:0.05,120573:0.1,120574:0.05,120575:0.12,120576:0.07,120577:0.07,120578:0.05,120579:0.09,120580:0.05,120582:0.07,120583:0.1,120584:0.07,120585:0.12,120586:0.08,120587:0.08,120588:0.1,120589:0.1,120590:0.05,120592:0.05,120593:0.05,120594:0.09,120596:0.05,120598:0.1,120599:0.1,120602:0.1,120603:0.07,},32:[0,0,250,0,0,""],160:[0,0,250,0,0,""],8462:[668,11,513,45,483,"469 106l14 -11c-29 -34 -78 -106 -133 -106c-18 0 -41 10 -41 42c0 12 1 26 64 267c2 7 7 29 7 44c0 19 -7 35 -24 35c-36 0 -102 -85 -134 -133c-34 -51 -62 -102 -67 -122l-32 -122h-78l152 600c1 4 2 7 2 10c0 13 -10 22 -31 22c-10 0 -21 -1 -29 -2l-2 14l159 24 l-109 -416h4c53 58 125 189 216 189c42 0 57 -34 57 -70c0 -22 -6 -43 -11 -64l-58 -230c-1 -5 -2 -7 -2 -10c0 -6 3 -14 13 -14c22 0 49 35 63 53"],119860:[667,0,717,35,685,"685 0h-285v16h16c56 0 72 21 72 61c0 6 -1 14 -2 21l-13 113h-198l-84 -140c-7 -8 -10 -19 -10 -26c1 -18 17 -29 43 -29h29v-16h-218v16c35 4 72 16 108 74l356 577h18l78 -581c7 -49 32 -70 74 -70h16v-16zM466 248l-25 227h-6l-139 -227h170"],119861:[653,0,696,38,686,"198 653h252c84 0 236 -9 236 -145c0 -78 -43 -123 -91 -147c-25 -13 -54 -21 -74 -26l3 -4c60 -11 127 -53 127 -138c0 -99 -82 -193 -289 -193h-324l4 16h20c76 0 95 29 103 63l123 495c1 5 2 15 2 21c0 26 -19 42 -78 42h-19zM406 611l-59 -252c20 -4 38 -6 53 -6 c112 0 168 66 168 163c0 77 -65 98 -119 98c-15 0 -30 -1 -43 -3zM338 314l-68 -267c25 -7 45 -9 71 -9c94 0 190 42 190 172c0 73 -64 108 -142 108c-16 0 -36 0 -51 -4"],119862:[659,12,671,50,711,"711 659l-53 -223h-16c1 8 1 17 1 42c0 65 -31 144 -152 144c-201 0 -319 -201 -319 -372c0 -112 60 -214 195 -214c98 0 171 49 216 98c7 7 12 13 17 20l20 -13c-27 -41 -60 -71 -89 -92c-78 -55 -154 -61 -193 -61c-193 0 -288 131 -288 278c0 230 201 393 443 393 c54 0 106 -27 158 -27c11 0 27 2 42 27h18"],119863:[653,0,790,38,765,"194 653h282c188 0 289 -103 289 -275c0 -211 -163 -378 -421 -378h-306l4 16h18c74 0 97 28 105 62l122 497c2 8 4 17 4 24c0 22 -18 37 -77 37h-25zM405 612l-122 -504c-5 -19 -5 -24 -5 -27c0 -41 60 -43 95 -43c192 0 271 184 271 325c0 115 -33 252 -180 252 c-20 0 -43 -1 -59 -3"],119864:[653,0,714,38,734,"734 653l-42 -158h-16c1 13 2 24 2 35c-3 74 -58 87 -109 87h-160l-60 -248h80c60 0 104 13 126 95h16l-58 -242h-17c1 13 6 43 6 60c0 47 -41 51 -72 51h-90l-66 -258c-1 -4 -2 -7 -2 -10c0 -16 16 -27 63 -27h67c158 0 214 47 257 160h16l-66 -198h-571l4 16h19 c73 0 96 28 104 62l120 488c4 18 5 29 5 36c0 24 -16 35 -75 35h-19l4 16h534"],119865:[653,0,618,38,723,"723 653l-40 -160h-16c1 8 1 22 1 36c-3 78 -63 87 -110 87h-147l-62 -248h83c62 0 108 10 129 95h16l-60 -242h-16c3 14 5 43 5 61c0 47 -41 50 -70 50h-97l-62 -254c-1 -6 -4 -14 -4 -21c0 -25 19 -41 79 -41h32l-4 -16h-342l4 16h18c76 0 97 28 106 62l124 497 c2 8 4 17 4 24c0 21 -16 39 -76 39h-19l4 15h520"],119866:[668,12,734,50,734,"734 329v-16c-85 0 -103 -26 -113 -62l-62 -216c-79 -47 -154 -47 -217 -47c-157 0 -292 75 -292 254c0 210 182 426 435 426c49 0 81 -9 103 -16c22 -6 41 -21 63 -21s40 21 43 37h16l-45 -223h-16c1 10 2 21 2 32c0 73 -47 154 -160 154c-229 0 -318 -248 -318 -427 c0 -82 34 -179 181 -179c41 0 70 8 97 25l57 201c2 8 3 18 3 25c0 22 -14 37 -75 37h-19l4 16h313"],119867:[653,0,873,38,923,"923 653l-4 -16h-18c-76 0 -97 -28 -106 -63l-123 -496c-2 -9 -4 -18 -4 -28c0 -21 19 -34 78 -34h19l-4 -16h-329l4 16h18c72 0 96 25 105 62l61 242h-280l-61 -242c-2 -6 -4 -16 -4 -24c0 -24 18 -38 77 -38h20l-4 -16h-330l4 16h18c75 0 98 28 106 62l123 496 c2 6 4 17 4 24c0 21 -16 39 -78 39h-20l4 16h330l-4 -16h-18c-79 0 -97 -28 -105 -63l-52 -217h278l53 217c2 10 4 17 4 24c0 24 -19 39 -76 39h-20l4 16h330"],119868:[653,0,480,38,530,"530 653l-4 -16h-19c-76 0 -97 -26 -106 -62l-123 -497c-2 -8 -3 -19 -3 -29c0 -21 19 -33 78 -33h17l-4 -16h-328l4 16h19c76 0 97 28 105 62l123 497c2 8 4 17 4 24c0 22 -17 38 -77 38h-18l4 16h328"],119869:[653,12,540,60,620,"620 653l-4 -16h-18c-74 0 -99 -27 -108 -63l-103 -413c-19 -75 -52 -118 -92 -145c-39 -25 -84 -28 -109 -28c-69 0 -126 37 -126 97c0 37 20 71 70 71c31 0 64 -20 64 -51c0 -32 -27 -32 -27 -59c0 -15 13 -21 24 -21c49 0 67 69 74 96c37 144 117 469 117 477 c0 24 -18 39 -75 39h-20l4 16h329"],119870:[653,0,762,38,802,"802 653l-4 -16c-51 0 -78 -20 -120 -53l-271 -211l187 -278c29 -43 62 -79 127 -79l-4 -16h-287l4 16h11c28 0 47 5 47 33c0 16 -8 22 -16 35l-156 237h-4l-62 -243c-2 -8 -3 -15 -3 -22c0 -24 19 -40 78 -40h17l-4 -16h-304l4 16h18c60 0 77 35 84 62l117 472 c7 27 10 28 10 49c0 22 -16 38 -76 38h-18l4 16h312l-4 -16h-11c-75 0 -88 -27 -97 -62l-53 -209h5l282 221c10 8 18 16 18 29c-1 14 -9 21 -51 21l4 16h216"],119871:[653,0,708,38,668,"668 190l-61 -190h-569l4 16h17c75 0 99 28 107 62l118 477c4 16 7 36 7 45c0 19 -14 37 -76 37h-18l4 16h327l-4 -16h-18c-75 0 -96 -26 -105 -63l-122 -481c-4 -15 -5 -29 -5 -31c0 -22 28 -24 40 -24h122c102 0 153 22 199 115c7 11 12 23 17 37h16"],119872:[653,0,1005,38,1055,"1055 653l-4 -16h-17c-80 0 -96 -25 -105 -61l-127 -498c-2 -7 -2 -19 -2 -28c0 -19 19 -34 77 -34h19l-4 -16h-330l4 16h17c79 0 97 30 105 62l112 439h-6l-345 -517h-25l-94 517h-3l-109 -428c-3 -13 -5 -28 -5 -40c0 -21 17 -33 76 -33h20l-4 -16h-267l4 16h19 c79 0 98 33 108 73l119 475c4 17 5 29 5 38c0 20 -15 35 -77 35h-19l4 16h213l89 -493h4l333 493h215"],119873:[653,0,851,38,901,"901 653l-4 -16h-18c-75 0 -98 -26 -107 -63l-144 -574h-24l-274 526h-6l-108 -448c-2 -8 -3 -16 -3 -27c0 -20 17 -35 76 -35h19l-4 -16h-266l4 16h18c75 0 98 28 106 62l126 509c-19 43 -62 50 -92 50h-19l4 16h200l236 -465h5l97 386c2 9 4 16 4 26 c0 20 -17 37 -76 37h-20l4 16h266"],119874:[669,11,732,50,712,"712 420c0 -198 -156 -431 -409 -431c-149 0 -253 96 -253 233c0 203 158 447 413 447c167 0 249 -123 249 -249zM596 443c0 107 -40 189 -141 189c-232 0 -284 -313 -284 -455c0 -97 62 -150 140 -150c212 0 285 275 285 416"],119875:[653,0,594,38,704,"201 653h271c170 0 232 -86 232 -160c0 -98 -81 -199 -285 -199c-28 0 -50 1 -74 5c-5 0 -8 1 -12 2l-56 -223c-2 -8 -3 -15 -3 -23c0 -24 18 -39 77 -39h32l-4 -16h-341l4 16h17c77 0 97 28 106 62l125 497c2 8 4 17 4 25c0 21 -17 37 -78 37h-19zM411 613l-68 -274 c16 -4 40 -8 60 -8c102 0 182 70 182 172c0 60 -30 113 -125 113c-17 0 -32 -1 -49 -3"],119876:[667,152,781,50,731,"83 -115l164 107c-114 17 -197 98 -197 230c0 204 188 445 442 445c146 0 239 -92 239 -247c0 -204 -188 -430 -433 -430l-64 -43l4 -5c16 3 30 4 43 4c65 0 158 -34 245 -34c39 0 86 13 136 66l13 -11c-59 -73 -129 -119 -247 -119c-53 0 -105 8 -142 16 c-50 11 -104 27 -134 27c-8 0 -31 -5 -58 -18zM612 467c0 132 -65 163 -130 163c-222 0 -312 -316 -312 -454c0 -97 51 -149 131 -149c217 0 311 283 311 440"],119877:[653,0,740,38,725,"725 16l-2 -16h-169l-150 315c-10 -1 -21 -2 -29 -2c-14 0 -24 2 -38 4l-62 -239c-2 -8 -3 -15 -3 -23c0 -24 18 -39 76 -39h19l-4 -16h-325l4 16h16c76 0 96 28 105 62l124 497c2 8 5 17 5 25c0 21 -17 37 -77 37h-20l4 16h271c160 0 216 -66 216 -151 c0 -83 -71 -150 -178 -171l115 -229c19 -39 45 -81 102 -86zM410 613l-64 -260c13 -3 23 -4 32 -4c133 0 191 58 191 142c0 108 -62 125 -125 125c-14 0 -23 -1 -34 -3"],119878:[668,10,650,50,680,"680 668l-53 -221h-16c1 8 1 16 1 24c0 84 -48 160 -160 160c-43 0 -121 -26 -121 -97c0 -69 61 -111 117 -159c59 -49 118 -107 118 -194c0 -99 -87 -191 -244 -191c-94 0 -125 38 -201 38c-25 0 -39 -11 -55 -38h-16l60 236h16c0 -10 1 -21 1 -31 c3 -79 40 -167 171 -167c127 0 156 71 156 136c0 35 -18 68 -46 96c-30 31 -78 67 -114 102c-28 28 -73 82 -73 131c0 81 65 175 223 175c83 0 140 -37 183 -37c20 0 34 22 37 37h16"],119879:[653,0,550,25,670,"670 653l-46 -179h-16c2 17 5 44 5 71c0 66 -58 71 -99 71h-98l-133 -538c-2 -9 -5 -16 -5 -25c0 -21 16 -37 76 -37h21l-4 -16h-329l4 16h18c78 0 98 28 106 62l133 538h-91c-83 0 -153 -61 -171 -142h-16l46 179h599"],119880:[653,13,705,65,775,"775 653l-4 -16h-16c-75 0 -98 -27 -107 -63l-87 -356c-26 -106 -82 -231 -272 -231c-160 0 -222 96 -222 187c0 8 12 86 14 95l76 330c1 2 1 5 1 7c0 20 -21 31 -75 31h-18l4 16h328l-4 -16h-17c-79 0 -97 -27 -106 -63l-90 -360c-4 -15 -7 -51 -7 -68 c0 -54 47 -112 144 -112c111 0 169 81 195 189l86 351c2 7 4 15 4 26c-1 23 -17 37 -75 37h-19l4 16h263"],119881:[653,16,575,60,760,"760 653l-4 -16c-65 -4 -106 -43 -132 -77l-441 -576h-24v571c0 58 -38 82 -99 82l4 16h294l-4 -16h-19c-65 0 -70 -37 -70 -70v-391l4 -1l280 366c19 24 38 53 38 74c0 15 -14 22 -52 22h-20l4 16h241"],119882:[653,16,916,60,1101,"1101 653l-4 -16c-66 -3 -109 -44 -134 -77l-438 -576h-29v442h-11l-297 -442h-29v569c0 55 -33 84 -89 84h-10l4 16h288l-4 -16h-7c-39 0 -76 0 -76 -71v-377h5l226 332v61c0 31 -19 55 -82 55h-8l4 16h285l-4 -16h-18c-62 0 -71 -37 -71 -72v-395h6l278 370 c17 22 40 53 40 72c0 16 -13 25 -54 25h-17l4 16h242"],119883:[653,0,790,25,810,"810 653l-4 -16h-4c-69 0 -98 -32 -135 -74l-187 -213l96 -266c12 -34 29 -68 79 -68h14l-4 -16h-281l4 16h11c38 0 67 4 67 41c0 8 -1 16 -4 26l-69 194l-181 -201c-9 -10 -12 -19 -12 -28c0 -19 18 -32 56 -32h22l-4 -16h-249l4 16c54 7 103 37 140 77l208 230l-85 231 c-11 31 -28 83 -102 83h-9l4 16h283l-4 -16h-19c-30 0 -52 -4 -52 -35c0 -8 2 -17 6 -28l60 -179l164 184c9 11 15 23 15 34c-1 16 -13 24 -45 24h-9l4 16h222"],119884:[653,0,535,35,695,"695 653l-4 -16c-55 -4 -93 -31 -124 -69l-209 -256l-59 -234c-2 -9 -3 -15 -3 -26c0 -21 18 -36 76 -36h20l-4 -16h-328l4 16h17c77 0 97 28 105 62l61 246l-89 237c-17 45 -46 76 -123 76l4 16h299l-4 -16h-19c-50 0 -58 -15 -58 -40c0 -9 5 -20 7 -27l75 -207h4 l174 212c12 15 16 23 16 34c0 19 -21 28 -79 28l4 16h237"],119885:[653,0,772,60,802,"802 653l-566 -615h218c94 0 182 11 217 140h16l-46 -178h-581l573 616h-202c-96 0 -185 -6 -223 -121h-17l48 158h563"],119886:[441,10,502,40,472,"472 428l-91 -345s-1 -2 -1 -11c0 -11 6 -17 14 -17c10 0 25 2 64 54l12 -12c-31 -47 -85 -107 -133 -107c-33 0 -42 23 -42 55c0 13 6 34 11 50h-4c-72 -92 -134 -105 -173 -105c-63 0 -89 55 -89 119c0 132 132 332 276 332c43 0 64 -24 66 -46h1l9 33h80zM367 341 c0 41 -12 71 -50 71c-68 0 -128 -87 -162 -171c-18 -45 -28 -89 -28 -124c0 -53 31 -66 58 -66c69 0 139 95 167 190c8 26 15 66 15 100"],119887:[668,11,470,45,450,"214 382l4 -4c33 32 72 63 121 63c70 0 111 -69 111 -151c0 -121 -109 -301 -266 -301c-53 0 -94 18 -139 48l144 563c1 4 2 8 2 11c-1 13 -16 21 -29 21c-10 0 -22 -1 -30 -4l-3 16l158 24zM179 252l-55 -215c0 -7 32 -19 55 -19c122 0 188 174 188 276 c0 70 -38 92 -71 92c-72 0 -106 -89 -117 -134"],119888:[441,11,415,40,400,"363 111l12 -13c-51 -60 -113 -109 -198 -109c-97 0 -137 78 -137 155c0 140 121 297 263 297c50 0 97 -27 97 -76c0 -38 -16 -70 -54 -70c-26 0 -38 21 -38 38c0 24 29 36 29 58c0 12 -10 21 -34 21c-119 0 -176 -179 -176 -259c0 -87 49 -109 94 -109 c61 0 107 33 142 67"],119889:[668,12,532,40,527,"527 668l-149 -598c-1 -3 -2 -9 -2 -12c0 -6 5 -9 15 -9c20 0 48 35 62 56l11 -12c-30 -45 -83 -105 -130 -105c-32 0 -40 23 -40 41c0 20 2 34 10 64h-5c-74 -93 -134 -105 -171 -105c-73 0 -88 74 -88 127c0 103 103 326 257 326c57 0 80 -26 81 -50h2l53 209 c1 4 2 8 2 12c0 13 -7 20 -33 20c-9 0 -20 -2 -27 -3l-4 15zM363 340c0 47 -15 71 -56 71c-99 0 -180 -200 -180 -296c0 -49 28 -66 56 -66c70 0 136 94 164 186c11 35 16 74 16 105"],119890:[441,11,445,40,410,"363 112l14 -13c-70 -86 -138 -110 -200 -110c-98 0 -137 84 -137 156c0 23 1 37 6 60c25 111 135 236 262 236c42 0 102 -14 102 -76c0 -127 -167 -176 -286 -182v-28c0 -64 52 -107 113 -107c42 0 90 18 126 64zM124 211h9c104 0 198 69 198 157c0 25 -19 43 -44 43 c-74 0 -134 -115 -163 -200"],119891:[668,187,555,40,615,"248 437h37c63 0 58 77 101 141c31 47 74 90 150 90c50 0 79 -24 79 -59c0 -28 -21 -40 -41 -40c-28 0 -35 11 -35 25s9 29 9 37c0 5 -3 8 -15 8c-50 0 -89 -54 -110 -132l-19 -70h80l-12 -38h-76l-79 -306c-7 -27 -15 -65 -30 -102c-33 -83 -87 -178 -175 -178 c-48 0 -72 24 -72 54c0 24 14 49 43 49c27 0 37 -18 37 -33c0 -19 -16 -20 -16 -32c0 -6 6 -9 15 -9c65 0 95 158 110 215l87 342h-77"],119892:[441,187,492,20,492,"492 413l-13 -45h-81c13 -15 17 -28 17 -50c0 -75 -53 -137 -141 -148c-59 -8 -88 -33 -88 -58c0 -63 233 -23 233 -148c0 -71 -66 -151 -215 -151c-134 0 -184 57 -184 115s55 88 117 108c-17 11 -24 30 -24 47c0 38 37 87 85 87v4c-67 15 -94 62 -94 109 c0 79 68 158 174 158c42 0 73 -13 88 -28h126zM336 349c0 37 -10 62 -54 62c-54 0 -98 -71 -98 -139c0 -46 12 -81 56 -81c71 0 96 102 96 158zM349 -69c0 78 -132 73 -192 95c-8 -5 -18 -10 -26 -16c-26 -19 -48 -45 -48 -72c0 -47 44 -97 139 -97c91 0 127 46 127 90"],119894:[616,11,311,50,257,"257 566c0 -26 -22 -46 -48 -46c-29 0 -48 20 -48 46c0 25 19 50 48 50c26 0 48 -25 48 -50zM227 441l-92 -364c-1 -6 -1 -10 -1 -14c0 -7 6 -10 13 -10c22 0 28 12 64 51l13 -10c-35 -45 -85 -105 -134 -105c-28 0 -40 19 -40 46c0 12 0 31 79 338c1 2 2 9 2 12 c0 17 -8 22 -31 22c-9 0 -21 -2 -28 -4l-3 16"],119895:[616,187,389,-16,372,"372 566c0 -26 -22 -46 -48 -46c-29 0 -48 20 -48 46c0 25 19 50 48 50c26 0 48 -25 48 -50zM351 441l-108 -425c-22 -88 -78 -203 -186 -203c-53 0 -73 33 -73 61c0 22 12 52 47 52c19 0 35 -15 35 -38c0 -15 -16 -18 -16 -34c0 -4 5 -10 10 -10c46 0 79 76 103 172 l92 363c0 12 -10 22 -32 22c-8 0 -20 -2 -27 -5l-3 17"],119896:[668,11,542,45,527,"527 428l-4 -12c-67 -7 -95 -25 -133 -58l-106 -92l64 -152c15 -35 27 -59 53 -59c30 0 52 43 74 73l15 -11c-12 -21 -59 -128 -127 -128c-46 0 -67 53 -78 79l-63 147l-56 -49l-45 -166h-76l148 589c2 6 3 13 3 20c0 11 -10 22 -32 22c-9 0 -19 0 -27 -2l-3 14l158 25 l-113 -456l167 149c11 10 21 23 21 36c0 12 -16 19 -26 19h-12l4 12h194"],119897:[668,10,318,45,278,"278 668l-148 -591s-1 -4 -1 -11s4 -13 12 -13c23 0 53 39 62 55l16 -12c-34 -40 -77 -106 -135 -106c-30 0 -39 26 -39 51c0 12 3 26 6 36l128 510c3 13 3 21 3 24c0 12 -8 22 -31 22c-7 0 -19 -2 -27 -3l-3 15"],119898:[441,8,710,30,680,"667 107l13 -11c-32 -54 -84 -104 -131 -104c-22 0 -39 10 -39 49c0 7 1 17 6 37l56 221c4 14 6 23 6 40c0 20 -6 38 -24 38c-54 0 -164 -181 -179 -242l-34 -135h-79l77 299c2 9 5 25 5 40c0 20 -5 38 -23 38c-52 0 -162 -181 -178 -242l-35 -135h-78l95 374 c0 18 -6 31 -33 31c-8 0 -19 -1 -27 -2l-2 14l157 24l-44 -169h6c94 143 154 169 192 169c37 0 55 -37 55 -81c0 -17 -3 -32 -9 -52l-10 -36h5c29 52 81 114 130 147c22 15 41 22 61 22c36 0 54 -26 54 -71c0 -18 -1 -37 -7 -61l-61 -231c-1 -3 -2 -9 -2 -12 c0 -8 6 -12 15 -12c17 0 43 16 62 53"],119899:[441,8,497,30,467,"467 96l-5 -6c-28 -34 -76 -98 -128 -98c-32 0 -41 23 -41 46c0 13 4 29 7 40l57 221c2 8 7 28 7 42c0 19 -6 38 -24 38c-38 0 -101 -86 -132 -133c-36 -54 -62 -101 -68 -122l-33 -124h-77l95 374c0 18 -3 32 -30 32c-10 0 -21 -2 -28 -3l-2 15l159 23l-51 -189h3 c5 0 54 70 56 73c40 50 100 116 160 116c44 0 56 -29 56 -62c0 -25 -6 -50 -11 -70l-59 -231c-1 -2 -1 -5 -1 -10c1 -6 4 -14 15 -14c24 0 48 36 62 53"],119900:[441,11,458,40,438,"438 287c0 -139 -110 -298 -263 -298c-101 0 -135 90 -135 163c0 128 103 289 251 289c80 0 147 -46 147 -154zM357 318c0 38 -14 93 -67 93c-82 0 -169 -149 -169 -285c0 -33 3 -107 59 -107c106 0 177 223 177 299"],119901:[441,183,489,-30,474,"253 370l14 13c39 37 78 58 113 58c61 0 94 -54 94 -155c0 -129 -110 -298 -254 -298c-24 0 -42 4 -61 19l-24 -100c-3 -13 -5 -24 -5 -35c0 -22 11 -43 61 -43h16l-3 -12h-234l3 12c62 3 69 33 81 79l117 464c0 19 -1 33 -31 33c-8 0 -20 -2 -28 -4l-2 16l158 24 l-18 -69zM214 238l-46 -200c14 -16 34 -21 46 -21c101 0 176 173 176 285c0 63 -28 83 -51 83c-53 0 -105 -61 -125 -147"],119902:[441,183,458,40,463,"463 428l-131 -522c-3 -10 -3 -20 -3 -29c0 -30 19 -48 49 -48h14l-3 -12h-250l3 12h19c68 0 84 41 93 78l44 184h-6c-67 -93 -127 -103 -163 -103c-64 0 -89 58 -89 115c0 123 80 246 169 304c31 21 63 34 91 34c48 0 70 -26 72 -52h3l7 39h81zM358 338 c0 43 -13 74 -49 74c-21 0 -41 -11 -61 -27c-64 -52 -123 -185 -123 -273c0 -27 9 -63 52 -63c17 0 40 4 58 17c63 45 123 159 123 272"],119903:[441,0,408,30,393,"175 267l5 -1c9 18 21 38 32 56c34 54 82 119 137 119c29 0 44 -21 44 -48c0 -38 -24 -82 -65 -82c-39 0 -29 38 -47 38c-61 0 -148 -256 -153 -273l-21 -76h-77l92 364c3 11 4 18 4 23c0 13 -11 19 -33 19c-7 0 -21 -2 -27 -3l-2 15l157 23"],119904:[441,11,440,50,390,"390 441l-24 -146h-15c0 64 -36 120 -92 120c-25 0 -51 -17 -51 -58c0 -55 134 -147 134 -242c0 -62 -48 -125 -135 -125c-34 0 -98 20 -110 20c-9 0 -18 -4 -30 -21h-17l25 156h16c0 -63 41 -130 104 -130c59 0 73 50 73 89c0 82 -130 132 -130 230c0 79 59 107 114 107 c43 0 63 -20 92 -20c11 0 22 10 30 20h16"],119905:[567,9,313,40,283,"283 438l-10 -38h-70l-78 -320c-1 -3 -2 -8 -2 -11c0 -6 3 -12 16 -12c0 0 23 2 60 52l13 -11c-24 -31 -74 -107 -133 -107c-31 0 -39 25 -39 52c0 13 2 26 5 37l81 320h-77l5 29c75 14 136 51 177 138h13l-31 -129h70"],119906:[441,9,474,30,444,"444 428l-89 -348c-1 -4 -1 -6 -1 -9c0 -8 4 -14 14 -14c21 0 40 26 57 46l5 6l13 -11c-23 -33 -74 -107 -132 -107c-29 0 -40 19 -40 52c0 9 1 25 4 37l26 95h-1c-7 -5 -97 -126 -137 -156c-23 -17 -49 -28 -72 -28c-47 0 -61 36 -61 74c0 21 3 40 8 59l59 231 c4 15 6 21 6 25c0 12 -11 23 -33 23c-7 0 -19 -1 -26 -3l-3 15l157 26l-84 -326c-2 -9 -3 -16 -3 -24c0 -21 8 -34 26 -34c25 0 65 31 100 77c43 57 89 146 109 219l21 75h77"],119907:[458,9,506,72,479,"247 454l-89 -326c-3 -10 -4 -21 -4 -32c0 -38 20 -66 60 -66c108 0 178 113 210 203c8 24 15 49 15 74c0 74 -61 65 -61 109c0 34 25 42 54 42c42 0 47 -51 47 -83c0 -99 -39 -200 -97 -280c-43 -60 -120 -104 -194 -104c-64 0 -116 20 -116 93c0 21 3 42 9 62l58 210 c2 8 5 17 5 25c0 20 -44 20 -57 20v15c52 13 106 20 156 42"],119908:[460,9,775,72,748,"531 450l-80 -289c-6 -23 -12 -46 -12 -70c0 -39 19 -61 59 -61c108 0 164 115 195 203c8 24 15 49 15 74c0 74 -59 66 -61 109c-2 36 30 42 54 42c42 0 47 -51 47 -83c0 -146 -105 -384 -276 -384c-69 0 -111 28 -111 100c0 42 12 85 23 125 c-40 -89 -122 -225 -234 -225c-56 0 -78 34 -78 87c0 33 11 64 19 95l47 177c3 9 5 19 5 29c0 24 -38 22 -54 22v15c53 9 105 23 155 44l4 -3l-81 -307c-3 -13 -11 -45 -11 -73c0 -26 6 -47 28 -47c58 1 129 114 153 151c53 81 79 159 110 269h84"],119909:[441,9,550,30,510,"305 288l45 69c26 40 61 84 111 84c32 0 49 -12 49 -33c0 -19 -13 -42 -39 -42c-22 0 -27 9 -44 9c-30 0 -41 -16 -55 -38l-55 -85c30 -62 53 -197 98 -197c16 0 40 14 61 57l14 -10c-12 -15 -57 -111 -115 -111c-41 0 -60 41 -73 77l-40 113l-63 -98 c-32 -49 -61 -92 -117 -92c-36 0 -52 25 -52 47c0 16 13 37 38 37c26 0 22 -20 47 -20c12 0 38 10 70 59l65 101l-33 92c-17 48 -43 89 -98 89c-13 0 -28 -2 -38 -6l-3 18l132 33c44 -24 63 -65 75 -98"],119910:[440,183,496,30,496,"270 307l28 -235c61 83 96 143 118 184c20 37 28 57 28 75c0 21 -52 31 -52 69c0 22 18 40 47 40c32 0 57 -23 57 -62c0 -78 -162 -318 -204 -371c-73 -92 -138 -190 -206 -190c-37 0 -56 31 -56 55c0 30 27 41 40 41c43 0 41 -31 57 -31c17 0 74 62 100 102l-38 314 c-5 45 -14 105 -70 105c-11 0 -27 -3 -36 -4l-2 16l150 25c23 -33 30 -59 39 -133"],119911:[450,14,499,42,467,"467 450v-16l-322 -360l3 -1c19 14 44 21 67 21c92 0 95 -86 140 -86c15 0 27 8 27 24c0 13 -12 16 -12 38c0 19 19 38 38 38c25 0 40 -18 40 -42c0 -54 -60 -80 -106 -80c-22 0 -47 9 -68 14c-32 9 -66 14 -99 14c-40 0 -85 -8 -122 -24l-11 10l328 370h-131 c-57 0 -81 -6 -104 -61l-18 4l36 137h314"],120484:[441,11,278,47,235,"221 115l14 -12c-53 -82 -87 -114 -138 -114c-30 0 -50 19 -50 57c0 20 8 50 24 110l48 175c5 19 9 37 9 45c0 20 -9 23 -63 24v16c39 3 58 6 159 25l5 -3l-96 -342c-5 -19 -9 -35 -9 -45c0 -8 6 -15 16 -15c17 0 38 22 81 79"],120485:[441,207,278,-124,246,"246 438l-104 -410c-41 -162 -100 -235 -187 -235c-46 0 -79 25 -79 61c0 24 18 44 41 44c27 0 39 -16 39 -37c0 -22 -12 -19 -12 -34c0 -7 6 -12 18 -12c40 0 63 44 97 182l72 292c12 49 16 70 16 80c0 22 -12 31 -48 31h-26v16c32 2 85 10 169 25"],120546:[667,0,717,35,685,"685 0h-285v16h16c56 0 72 21 72 61c0 6 -1 14 -2 21l-13 113h-198l-84 -140c-7 -8 -10 -19 -10 -26c1 -18 17 -29 43 -29h29v-16h-218v16c35 4 72 16 108 74l356 577h18l78 -581c7 -49 32 -70 74 -70h16v-16zM466 248l-25 227h-6l-139 -227h170"],120547:[653,0,696,38,686,"198 653h252c84 0 236 -9 236 -145c0 -78 -43 -123 -91 -147c-25 -13 -54 -21 -74 -26l3 -4c60 -11 127 -53 127 -138c0 -99 -82 -193 -289 -193h-324l4 16h20c76 0 95 29 103 63l123 495c1 5 2 15 2 21c0 26 -19 42 -78 42h-19zM406 611l-59 -252c20 -4 38 -6 53 -6 c112 0 168 66 168 163c0 77 -65 98 -119 98c-15 0 -30 -1 -43 -3zM338 314l-68 -267c25 -7 45 -9 71 -9c94 0 190 42 190 172c0 73 -64 108 -142 108c-16 0 -36 0 -51 -4"],120548:[653,0,616,38,721,"721 653l-39 -175h-17c1 9 5 36 5 50c-1 78 -68 88 -114 88h-146l-133 -538c-2 -9 -4 -17 -4 -24c0 -26 23 -38 79 -38h32l-4 -16h-342l4 16h18c77 0 97 28 105 62l123 497c2 8 4 17 4 24c0 21 -16 39 -76 39h-19l4 15h520"],120549:[667,0,596,30,556,"556 0h-526l412 667h19zM429 82l-45 393h-6l-241 -393h292"],120550:[653,0,714,38,734,"734 653l-42 -158h-16c1 13 2 24 2 35c-3 74 -58 87 -109 87h-160l-60 -248h80c60 0 104 13 126 95h16l-58 -242h-17c1 13 6 43 6 60c0 47 -41 51 -72 51h-90l-66 -258c-1 -4 -2 -7 -2 -10c0 -16 16 -27 63 -27h67c158 0 214 47 257 160h16l-66 -198h-571l4 16h19 c73 0 96 28 104 62l120 488c4 18 5 29 5 36c0 24 -16 35 -75 35h-19l4 16h534"],120551:[653,0,772,60,802,"802 653l-566 -615h218c94 0 182 11 217 140h16l-46 -178h-581l573 616h-202c-96 0 -185 -6 -223 -121h-17l48 158h563"],120552:[653,0,873,38,923,"923 653l-4 -16h-18c-76 0 -97 -28 -106 -63l-123 -496c-2 -9 -4 -18 -4 -28c0 -21 19 -34 78 -34h19l-4 -16h-329l4 16h18c72 0 96 25 105 62l61 242h-280l-61 -242c-2 -6 -4 -16 -4 -24c0 -24 18 -38 77 -38h20l-4 -16h-330l4 16h18c75 0 98 28 106 62l123 496 c2 6 4 17 4 24c0 21 -16 39 -78 39h-20l4 16h330l-4 -16h-18c-79 0 -97 -28 -105 -63l-52 -217h278l53 217c2 10 4 17 4 24c0 24 -19 39 -76 39h-20l4 16h330"],120553:[669,11,737,50,712,"520 425h16c-19 -49 -30 -106 -30 -163v-27h-16c-1 41 -16 57 -51 57h-117c-37 0 -53 -13 -74 -57h-16c20 50 30 113 30 176v14h16c8 -45 18 -57 56 -57h118c33 0 55 20 68 57zM712 395c0 -190 -167 -406 -410 -406c-149 0 -252 95 -252 233c0 203 157 447 412 447 c182 0 250 -136 250 -274zM596 444c0 106 -40 188 -142 188c-233 0 -283 -315 -283 -456c0 -99 61 -149 139 -149c211 0 286 265 286 417"],120554:[653,0,480,38,530,"530 653l-4 -16h-19c-76 0 -97 -26 -106 -62l-123 -497c-2 -8 -3 -19 -3 -29c0 -21 19 -33 78 -33h17l-4 -16h-328l4 16h19c76 0 97 28 105 62l123 497c2 8 4 17 4 24c0 22 -17 38 -77 38h-18l4 16h328"],120555:[653,0,762,38,802,"802 653l-4 -16c-51 0 -78 -20 -120 -53l-271 -211l187 -278c29 -43 62 -79 127 -79l-4 -16h-287l4 16h11c28 0 47 5 47 33c0 16 -8 22 -16 35l-156 237h-4l-62 -243c-2 -8 -3 -15 -3 -22c0 -24 19 -40 78 -40h17l-4 -16h-304l4 16h18c60 0 77 35 84 62l117 472 c7 27 10 28 10 49c0 22 -16 38 -76 38h-18l4 16h312l-4 -16h-11c-75 0 -88 -27 -97 -62l-53 -209h5l282 221c10 8 18 16 18 29c-1 14 -9 21 -51 21l4 16h216"],120556:[667,0,718,35,686,"686 0h-287l2 16h15c54 0 70 25 70 61c0 7 0 14 -1 21l-44 378h-5l-245 -405c-6 -9 -10 -18 -10 -26c0 -18 17 -29 43 -29h29v-16h-218v16c35 4 72 16 108 74l357 577h17l78 -569c9 -64 33 -82 74 -82h17v-16"],120557:[653,0,1005,38,1055,"1055 653l-4 -16h-17c-80 0 -96 -25 -105 -61l-127 -498c-2 -7 -2 -19 -2 -28c0 -19 19 -34 77 -34h19l-4 -16h-330l4 16h17c79 0 97 30 105 62l112 439h-6l-345 -517h-25l-94 517h-3l-109 -428c-3 -13 -5 -28 -5 -40c0 -21 17 -33 76 -33h20l-4 -16h-267l4 16h19 c79 0 98 33 108 73l119 475c4 17 5 29 5 38c0 20 -15 35 -77 35h-19l4 16h213l89 -493h4l333 493h215"],120558:[653,0,851,38,901,"901 653l-4 -16h-18c-75 0 -98 -26 -107 -63l-144 -574h-24l-274 526h-6l-108 -448c-2 -8 -3 -16 -3 -27c0 -20 17 -35 76 -35h19l-4 -16h-266l4 16h18c75 0 98 28 106 62l126 509c-19 43 -62 50 -92 50h-19l4 16h200l236 -465h5l97 386c2 9 4 16 4 26 c0 20 -17 37 -76 37h-20l4 16h266"],120559:[653,0,706,52,741,"741 653l-35 -152h-16c3 13 3 24 3 33c0 43 -29 43 -70 43h-299c-52 0 -81 -20 -96 -76h-16l37 152h492zM609 450l-52 -209h-15c2 18 2 26 2 26c0 25 -17 41 -39 41h-185c-39 0 -68 -35 -79 -67h-16l52 209h16c-1 -5 -3 -19 -3 -25c0 -35 26 -41 63 -41h145 c71 0 82 20 95 66h16zM629 158l-40 -158h-537l40 158h13v-14v-21c0 -35 28 -41 65 -41h339c58 0 79 1 104 76h16"],120560:[669,11,732,50,712,"712 420c0 -198 -156 -431 -409 -431c-149 0 -253 96 -253 233c0 203 158 447 413 447c167 0 249 -123 249 -249zM596 443c0 107 -40 189 -141 189c-232 0 -284 -313 -284 -455c0 -97 62 -150 140 -150c212 0 285 275 285 416"],120561:[653,0,873,38,923,"923 653l-4 -16h-19c-76 0 -96 -25 -105 -61l-123 -498c-2 -7 -3 -19 -3 -27c0 -23 16 -35 77 -35h20l-4 -16h-331l4 16h18c74 0 95 17 106 62l132 538h-278l-133 -538c-2 -10 -3 -18 -3 -26c0 -31 26 -36 75 -36h19l-4 -16h-329l4 16h18c71 0 97 25 106 62l122 498 c2 8 3 16 3 24c0 24 -17 37 -76 37h-20l4 16h724"],120562:[653,0,594,38,704,"201 653h271c170 0 232 -86 232 -160c0 -98 -81 -199 -285 -199c-28 0 -50 1 -74 5c-5 0 -8 1 -12 2l-56 -223c-2 -8 -3 -15 -3 -23c0 -24 18 -39 77 -39h32l-4 -16h-341l4 16h17c77 0 97 28 106 62l125 497c2 8 4 17 4 25c0 21 -17 37 -78 37h-19zM411 613l-68 -274 c16 -4 40 -8 60 -8c102 0 182 70 182 172c0 60 -30 113 -125 113c-17 0 -32 -1 -49 -3"],120563:[669,11,737,50,712,"712 395c0 -190 -167 -406 -410 -406c-149 0 -252 95 -252 233c0 203 157 447 412 447c182 0 250 -136 250 -274zM195 368h395c4 27 6 53 6 76c0 106 -40 188 -142 188c-151 0 -225 -133 -259 -264zM575 292h-395c-7 -44 -9 -85 -9 -116c0 -99 61 -149 139 -149 c149 0 231 133 265 265"],120564:[653,0,735,58,760,"760 653l-40 -159h-16c3 7 3 19 3 29c0 91 -65 93 -129 93h-205l161 -255l-317 -279h315c77 0 123 34 159 109h16l-83 -191h-566l378 327l-210 326h534"],120565:[653,0,550,25,670,"670 653l-46 -179h-16c2 17 5 44 5 71c0 66 -58 71 -99 71h-98l-133 -538c-2 -9 -5 -16 -5 -25c0 -21 16 -37 76 -37h21l-4 -16h-329l4 16h18c78 0 98 28 106 62l133 538h-91c-83 0 -153 -61 -171 -142h-16l46 179h599"],120566:[668,0,613,28,743,"743 604l-16 -8c-9 19 -32 29 -52 29c-43 0 -101 -64 -127 -95l-178 -215l-59 -237c-2 -8 -4 -17 -4 -26c0 -35 52 -36 77 -36h21l-4 -16h-328l4 16c53 0 106 0 121 62l60 245l-74 203c-6 16 -22 49 -33 61c-16 18 -39 24 -62 24c-19 0 -36 -4 -53 -11l-8 17 c9 11 59 38 74 43c13 4 30 8 43 8c99 0 125 -76 152 -155l53 -153l188 224c35 41 75 81 133 81c41 0 64 -21 72 -61"],120567:[653,0,772,25,747,"508 578l-9 -31c120 0 248 -49 248 -176c0 -194 -219 -276 -343 -276h-19l-7 -31c-1 -5 -2 -11 -2 -15c0 -24 22 -33 73 -33h26l-4 -16h-330l3 16c87 0 111 13 129 79h-13c-160 0 -235 78 -235 158c0 211 198 294 361 294c8 23 10 43 10 51c0 24 -18 39 -75 39h-19l4 16 h321l-4 -16h-16c-72 0 -91 -31 -99 -59zM490 510l-95 -377c112 0 233 80 233 241c0 71 -41 136 -138 136zM283 133l93 377c-133 0 -232 -145 -232 -256c0 -65 42 -121 139 -121"],120568:[653,0,790,25,810,"810 653l-4 -16h-4c-69 0 -98 -32 -135 -74l-187 -213l96 -266c12 -34 29 -68 79 -68h14l-4 -16h-281l4 16h11c38 0 67 4 67 41c0 8 -1 16 -4 26l-69 194l-181 -201c-9 -10 -12 -19 -12 -28c0 -19 18 -32 56 -32h22l-4 -16h-249l4 16c54 7 103 37 140 77l208 230l-85 231 c-11 31 -28 83 -102 83h-9l4 16h283l-4 -16h-19c-30 0 -52 -4 -52 -35c0 -8 2 -17 6 -28l60 -179l164 184c9 11 15 23 15 34c-1 16 -13 24 -45 24h-9l4 16h222"],120569:[667,0,670,28,743,"743 667l-4 -16c-27 -6 -45 -26 -55 -51c-5 -13 -8 -27 -11 -41c-9 -42 -18 -85 -37 -124c-59 -124 -155 -165 -288 -165l-43 -181c-3 -14 -8 -28 -8 -43c0 -27 46 -31 77 -31c8 0 16 0 21 1l-4 -16h-328l4 16c70 0 108 -4 126 73l42 181c-91 0 -203 34 -203 143 c0 63 34 121 34 184c0 25 -10 51 -38 54l4 16h18c66 0 112 -50 112 -115c0 -62 -41 -114 -41 -176c0 -64 76 -69 124 -69l54 218c6 25 17 64 17 77c0 38 -69 34 -94 35l4 16h321l-4 -16c-45 0 -103 -3 -116 -56l-68 -274c111 0 150 58 181 156c11 36 18 74 35 108 c31 64 78 96 150 96h18"],120570:[666,0,800,32,777,"280 94l5 37c-98 32 -147 99 -147 203c0 47 14 93 41 139c23 38 53 73 91 104c72 60 163 89 273 89c83 0 146 -24 186 -73c32 -39 48 -92 48 -157c0 -76 -28 -144 -84 -202c-51 -53 -118 -87 -198 -103l-7 -37h128c38 4 65 11 79 19c20 12 37 34 49 66l18 -5l-56 -174 h-280l40 166c62 14 114 52 155 115c34 53 51 110 51 171c0 120 -47 181 -140 181c-72 0 -136 -29 -192 -87c-65 -68 -97 -140 -97 -216c0 -44 8 -80 23 -109c15 -28 35 -47 61 -55l-24 -166h-271l42 179l17 -5c-3 -13 -4 -25 -4 -36c0 -29 21 -44 62 -44h131"],120571:[653,15,627,42,600,"600 653l-400 -668h-26l-132 668h558zM499 559h-342l87 -432"],120572:[441,10,524,40,529,"529 428l-139 -241v-37c0 -48 10 -99 34 -99c12 0 27 19 46 74l15 -7c-18 -73 -51 -128 -95 -128c-36 0 -64 41 -66 87h-2c-34 -50 -86 -87 -153 -87c-85 0 -129 78 -129 161c0 22 1 41 7 66c28 117 117 224 225 224c77 0 114 -66 114 -136l64 123h79zM322 273 c0 68 -4 138 -62 138c-57 0 -136 -127 -136 -286c0 -57 4 -105 54 -105c64 0 120 127 139 182c4 20 5 44 5 71"],120573:[668,183,493,25,518,"47 -105l116 479c34 142 57 173 133 239c34 29 77 55 123 55c55 0 99 -46 99 -114c0 -73 -38 -151 -100 -179v-1c41 -11 56 -55 56 -102c0 -66 -30 -146 -63 -188c-44 -56 -110 -96 -192 -96c-25 0 -43 4 -64 21l-28 -122c-6 -28 -18 -59 -23 -70h-79c7 16 17 57 22 78z M266 459l-102 -419c17 -18 37 -23 49 -23c117 0 176 181 176 278c0 34 -5 63 -21 63c-19 0 -24 -8 -42 -8s-32 10 -32 22c0 11 11 27 47 27c8 0 30 -5 44 -5c44 0 60 99 60 124c0 46 -17 100 -61 100c-75 0 -97 -74 -118 -159"],120574:[441,187,428,35,458,"458 428l-266 -371c-5 -53 -8 -86 -16 -128c-15 -73 -43 -116 -83 -116c-24 0 -36 20 -36 44c0 81 59 127 95 200c10 71 13 127 13 182c0 36 -1 138 -58 138c-18 0 -36 -19 -56 -74h-16c18 64 51 138 102 138c53 0 66 -58 66 -128c0 -62 -11 -132 -14 -179l179 294h90"],120575:[668,11,463,40,451,"451 608c0 -21 -15 -46 -46 -46c-67 0 -13 65 -104 65c-38 0 -90 -29 -90 -67c0 -95 224 -152 224 -293c0 -33 -5 -79 -18 -112c-35 -86 -116 -166 -231 -166c-97 0 -146 65 -146 145c0 119 99 251 239 265c-46 46 -104 77 -104 131c0 96 101 138 167 138 c50 0 109 -16 109 -60zM351 269c0 44 -15 100 -54 100c-86 0 -179 -160 -179 -249c0 -55 27 -102 70 -102c90 0 163 156 163 251"],120576:[441,11,484,25,444,"444 372l-14 -8c-25 36 -60 47 -120 47c-63 0 -139 -44 -139 -113c0 -32 33 -51 78 -51c21 0 37 9 62 9c22 0 38 -7 38 -20c0 -17 -10 -31 -43 -31c-9 0 -40 6 -61 6c-49 0 -133 -33 -133 -103c0 -61 65 -78 125 -78c53 0 118 26 151 73l13 -10 c-42 -59 -99 -104 -210 -104c-124 0 -166 50 -166 102c0 73 49 120 116 137c-35 12 -58 33 -58 66c0 81 83 147 225 147c62 0 123 -33 136 -69"],120577:[668,183,435,40,480,"290 668l4 -16c-50 -18 -74 -49 -74 -74c0 -20 16 -38 49 -45c37 42 127 106 179 106c22 0 32 -9 32 -24c0 -45 -104 -105 -196 -113c-87 -61 -186 -198 -186 -329c0 -55 27 -91 92 -91c2 0 19 1 47 1c81 0 124 -26 124 -99c0 -85 -99 -167 -181 -167 c-35 0 -53 30 -53 54c0 22 15 42 48 42c21 0 35 -30 53 -30c44 0 97 27 97 68c0 39 -34 49 -82 49c-11 0 -60 -9 -76 -9c-72 0 -127 56 -127 142c0 161 97 279 200 371v1c-32 0 -73 20 -73 59c0 41 41 84 123 104"],120578:[441,183,460,30,455,"173 251h2l57 73c54 69 104 117 163 117c39 0 60 -20 60 -54c0 -22 -9 -52 -15 -78l-75 -313c-15 -63 -23 -113 -23 -144c0 -14 1 -27 5 -35h-76c-9 11 -11 28 -11 46c0 41 14 98 99 436c3 10 8 31 8 48s-11 29 -28 29c-40 0 -170 -169 -200 -271l-31 -105h-78l77 304 c6 25 13 45 13 59c0 9 -2 13 -13 13c-22 0 -44 -29 -60 -50l-13 10c5 7 22 34 46 58c25 25 62 47 84 47c32 0 41 -17 41 -41c0 -42 -23 -111 -32 -149"],120579:[668,11,484,40,474,"474 472c0 -196 -143 -483 -297 -483c-95 0 -137 59 -137 179c0 174 116 500 306 500c73 0 128 -63 128 -196zM159 344h206c15 70 25 125 25 166c0 73 -10 129 -51 129c-72 0 -154 -176 -180 -295zM356 308h-207c-16 -50 -25 -117 -25 -165c0 -69 15 -125 58 -125 c67 0 127 131 158 230c7 23 13 51 16 60"],120580:[441,11,267,50,227,"227 441l-92 -364c-1 -6 -1 -10 -1 -14c0 -7 6 -11 13 -11c22 0 28 13 64 52l13 -10c-35 -45 -85 -105 -134 -105c-28 0 -40 19 -40 46c0 12 0 27 79 334c1 2 2 9 2 12c0 17 -8 22 -31 22c-9 0 -21 -2 -28 -4l-3 16"],120581:[441,0,534,50,549,"193 251l183 136c61 45 88 54 126 54c34 0 47 -19 47 -41c0 -20 -12 -38 -42 -38s-27 27 -60 27c-21 0 -42 -13 -52 -21l-143 -113l112 -187c24 -40 40 -45 101 -52l-1 -16h-235l1 16c10 0 58 0 58 17c0 7 -7 25 -13 33l-90 153l-57 -219h-78l94 371v9c0 11 -9 20 -32 20 c-8 0 -17 -1 -28 -3l-2 15l161 27"],120582:[668,16,541,50,511,"495 124h16c-22 -82 -55 -140 -104 -140c-28 0 -54 38 -54 95c0 61 9 115 16 218l-218 -297h-101l319 431c1 8 2 20 2 31c0 7 0 35 -1 46c-5 67 -27 96 -56 96c-15 0 -32 -18 -53 -74h-16c17 63 49 138 104 138c36 0 55 -46 55 -136v-383c0 -36 2 -101 38 -101 c15 0 32 19 53 76"],120583:[428,183,579,30,549,"549 428l-86 -338c-4 -16 -8 -29 -8 -39c0 -8 5 -14 17 -14c23 0 45 27 57 48l15 -6c-15 -44 -84 -106 -131 -106c-29 0 -41 13 -41 41s14 94 33 171c-97 -146 -148 -191 -194 -191c-17 0 -36 11 -41 25c-36 -142 -43 -176 -66 -202h-74c14 20 30 53 45 114l125 497h79 l-71 -298c-2 -9 -4 -18 -4 -27c0 -27 14 -45 54 -45c53 0 178 216 197 299l16 71h78"],120584:[446,9,452,50,462,"444 446l18 -5c-18 -176 -113 -343 -269 -450h-21l-62 369c-5 32 -20 42 -44 42h-16v16c71 3 90 12 128 23l60 -350c109 83 172 233 206 355"],120585:[668,183,433,25,443,"293 668l4 -16c-70 -21 -76 -60 -76 -70c0 -14 9 -31 32 -31c46 35 104 67 144 67c31 0 46 -14 46 -34c0 -43 -85 -71 -156 -71c-52 0 -86 -43 -86 -78c0 -19 9 -35 31 -52c44 29 100 46 140 46c32 0 55 -11 55 -29c0 -52 -88 -62 -123 -62c-22 0 -44 2 -68 9 c-84 -32 -154 -103 -154 -186c0 -58 27 -78 109 -78c22 0 36 1 49 1c81 0 124 -27 124 -100c0 -85 -101 -167 -181 -167c-35 0 -53 30 -53 54c0 22 15 42 48 42c21 0 35 -30 53 -30c44 0 97 27 97 68c0 39 -34 49 -82 49c-19 0 -56 -9 -74 -9c-91 1 -147 33 -147 118 c0 115 75 204 170 256c-22 19 -30 37 -29 69c2 37 27 68 57 89c-28 7 -50 29 -50 51c0 44 38 80 120 94"],120586:[441,11,458,40,438,"438 287c0 -139 -110 -298 -263 -298c-101 0 -135 90 -135 163c0 128 103 289 251 289c80 0 147 -46 147 -154zM357 318c0 38 -14 93 -67 93c-82 0 -169 -149 -169 -285c0 -33 3 -107 59 -107c106 0 177 223 177 299"],120587:[428,13,558,35,568,"568 428l-23 -73h-112c-14 -43 -67 -171 -67 -238c0 -23 16 -48 38 -48c21 0 49 12 73 66h16c-21 -72 -74 -142 -144 -142c-40 0 -57 36 -57 75c0 23 3 43 9 62c23 71 53 141 78 225h-94c-46 -122 -77 -294 -161 -357c-11 -9 -26 -11 -38 -11c-26 0 -51 20 -51 44 c0 15 5 41 31 48c43 12 61 41 74 70l89 206c-58 0 -95 0 -139 -53h-16c44 80 108 126 212 126h282"],120588:[441,183,502,30,472,"30 -183l84 336c39 157 99 226 166 259c32 16 62 29 98 29c61 0 94 -54 94 -155c0 -129 -110 -298 -254 -298c-24 0 -42 4 -61 18l-44 -189h-83zM212 238l-46 -200c14 -16 34 -21 46 -21c101 0 176 173 176 285c0 63 -28 83 -51 83c-53 0 -103 -53 -125 -147"],120589:[490,183,439,35,464,"464 438c0 -24 -14 -43 -48 -43c-40 0 -25 37 -63 37c-108 0 -260 -104 -260 -245c0 -56 9 -103 91 -103c23 0 37 1 46 1c56 0 126 -11 126 -92c0 -102 -92 -176 -181 -176c-35 0 -53 32 -53 56c0 22 15 42 48 42c21 0 35 -32 53 -32c44 0 97 31 97 71 c0 30 -21 49 -82 48c-22 0 -53 -9 -86 -9c-58 0 -117 51 -117 149c0 164 185 348 341 348c35 0 88 -13 88 -52"],120590:[428,11,537,40,547,"547 428l-20 -73h-173c22 -63 84 -68 84 -143c0 -112 -111 -223 -256 -223c-103 0 -142 88 -142 160c0 170 130 279 260 279h247zM286 355h-2c-67 -6 -163 -92 -163 -234c0 -32 11 -102 65 -102c99 0 172 126 172 207c0 64 -39 109 -72 129"],120591:[428,5,442,30,472,"472 428l-22 -73h-155c-23 -55 -41 -117 -60 -189c-5 -18 -7 -32 -7 -46c0 -34 9 -49 36 -49c26 0 60 31 77 67h16c-23 -78 -83 -143 -149 -143c-37 0 -64 15 -64 67c0 34 15 68 23 93l66 200h-51c-55 0 -105 -39 -136 -88h-16c28 65 111 161 207 161h235"],120592:[439,11,460,30,445,"293 425l2 14c100 -16 150 -70 150 -168c0 -125 -105 -282 -250 -282c-84 0 -138 44 -138 104c0 21 7 52 19 94l41 141c5 16 9 32 9 39c0 10 -6 14 -15 14c-16 0 -26 -4 -68 -56l-13 9c48 71 101 105 140 105c29 0 46 -6 46 -36c0 -17 -5 -35 -68 -240 c-8 -25 -13 -51 -13 -74c0 -41 17 -71 63 -71c119 0 187 173 187 271c0 81 -30 125 -92 136"],120593:[441,183,666,50,631,"247 19l34 130c38 147 109 289 245 289c59 0 105 -46 105 -155c0 -141 -118 -294 -311 -294l-40 -172h-83l43 172c-108 0 -190 61 -190 166c0 144 119 286 279 286h25l-5 -16c-115 -12 -215 -135 -215 -266c0 -79 50 -140 113 -140zM380 238l-53 -219 c95 0 220 139 220 270c0 81 -22 93 -44 93c-48 0 -103 -62 -123 -144"],120594:[441,202,595,30,645,"645 428l-290 -343c0 -178 11 -223 41 -223c14 0 34 14 54 67h16c-20 -77 -50 -131 -102 -131c-45 0 -55 52 -55 112c0 45 4 86 7 125l-185 -218h-101l296 349v78c0 92 -14 133 -52 133c-14 0 -37 -12 -57 -66h-16c17 61 42 130 102 130c36 0 56 -38 56 -138 c0 -10 0 -21 -1 -31l-4 -72l191 228h100"],120595:[441,183,661,30,711,"711 439v-16c-96 -13 -121 -124 -141 -213c-29 -128 -144 -221 -268 -221l-42 -172h-81l43 172h-10c-78 0 -153 41 -153 165c0 56 32 116 32 183c0 40 -14 81 -61 86l5 16c19 2 37 2 55 2c57 0 88 -54 88 -111c0 -56 -31 -127 -31 -185c0 -75 32 -119 83 -126l100 409h81 l-100 -409c73 14 145 78 170 187c28 120 51 233 204 233h26"],120596:[441,11,681,20,661,"465 425l6 16c115 0 190 -43 190 -161c0 -170 -141 -291 -245 -291c-59 0 -100 38 -104 89c-41 -50 -88 -89 -154 -89c-102 0 -138 92 -138 161c0 162 121 291 298 291h16l3 -16c-124 0 -235 -145 -235 -313c0 -46 23 -93 68 -93c58 0 114 59 127 105c-2 15 -3 37 -3 51 c0 73 25 186 97 186c19 0 33 -22 33 -47c0 -64 -42 -143 -78 -195c0 -50 17 -100 70 -100c88 0 165 187 165 273c0 96 -39 124 -116 133"],120597:[668,11,471,40,471,"195 625l-10 20c28 17 64 23 98 23c126 0 188 -90 188 -260c0 -148 -61 -419 -295 -419c-98 0 -136 77 -136 162c0 141 111 284 257 284c32 0 75 -11 96 -48c4 22 7 46 7 70c0 88 -29 181 -131 181c-27 0 -49 -5 -74 -13zM367 319c0 65 -34 86 -61 86 c-99 0 -185 -149 -185 -288c0 -38 4 -98 67 -98c77 0 136 100 164 202c9 33 15 67 15 98"],120598:[441,11,430,40,430,"430 441l-19 -132h-15c-7 46 -24 105 -93 105c-82 0 -139 -97 -161 -167h181l-5 -36h-185c-7 -20 -7 -41 -7 -66c0 -64 37 -101 92 -101c58 0 109 34 144 68l12 -14c-53 -60 -111 -109 -194 -109c-94 0 -140 69 -140 152c0 142 114 300 269 300c49 0 55 -20 83 -20 c12 0 19 11 23 20h15"],120599:[678,10,554,20,507,"33 205l-13 9c27 40 76 106 131 106c30 0 44 -16 44 -45c0 -62 -37 -115 -37 -186c0 -39 11 -78 57 -78c98 0 146 136 168 212c-108 47 -208 144 -208 269c0 106 68 186 177 186c112 0 155 -99 155 -197c0 -88 -17 -175 -47 -257c15 -5 29 -12 45 -14l-5 -19 c-17 1 -32 4 -49 8c-43 -103 -115 -209 -239 -209c-72 0 -134 22 -134 104c0 42 15 78 28 118c4 12 8 26 8 39c0 8 -3 14 -12 14c-21 0 -57 -45 -69 -60zM423 484c0 52 -5 161 -79 161c-68 0 -85 -95 -85 -147c0 -100 49 -191 134 -242c18 74 30 151 30 228"],120600:[441,13,561,12,587,"587 428l-156 -145c-14 -23 -28 -51 -42 -86c-14 -36 -21 -64 -21 -84c0 -27 16 -41 49 -41c34 0 51 -13 51 -38c0 -13 -6 -25 -17 -34s-25 -13 -42 -13c-25 0 -45 9 -61 26c-15 16 -22 36 -22 61c0 40 16 91 48 154l-1 1l-252 -229h-109l148 136c10 16 22 46 35 90 c13 43 20 77 20 100c0 19 -9 28 -26 28c-19 0 -31 2 -38 6c-11 7 -17 19 -17 36c0 14 7 26 21 35c10 7 20 10 32 10c45 0 68 -26 68 -77c0 -48 -15 -108 -45 -181l1 -1l268 246h108"],120601:[668,183,645,40,620,"480 668l-55 -228c103 0 195 -38 195 -155c0 -78 -27 -147 -80 -204c-60 -65 -139 -92 -226 -92l-48 -172h-81l46 172c-108 0 -191 56 -191 171c0 76 31 142 84 196c56 57 125 84 205 84h16c19 76 37 152 53 228h82zM418 411l-97 -392c121 0 214 151 214 261 c0 79 -32 132 -117 131zM240 19l99 392c-130 0 -215 -134 -215 -253c0 -63 46 -139 116 -139"],120602:[441,187,509,40,489,"221 -187l-14 7c3 5 4 9 4 16c0 38 -88 48 -134 101c-29 34 -37 75 -37 122c0 76 32 157 82 233c47 71 127 149 226 149c94 0 141 -64 141 -154c0 -142 -97 -297 -268 -297c-72 0 -119 48 -119 106h-2c-4 -15 -6 -17 -6 -44c0 -123 140 -98 140 -187 c0 -15 -4 -32 -13 -52zM409 324c0 38 -15 88 -64 88c-84 0 -189 -147 -189 -285c0 -42 19 -108 70 -108c126 0 183 225 183 305"],120603:[428,11,856,30,866,"866 428l-22 -73h-80c12 -23 18 -49 18 -83c0 -170 -141 -283 -245 -283c-59 0 -100 35 -104 86c-41 -50 -88 -86 -154 -86c-102 0 -138 89 -138 158c0 85 33 154 90 208h-50c-54 0 -102 -38 -135 -87h-16c27 78 110 160 207 160h629zM690 355h-371 c-59 -57 -96 -146 -96 -246c0 -46 23 -90 68 -90c58 0 114 56 127 102c-2 15 -4 37 -4 51c0 53 5 149 69 149c23 0 40 -19 40 -56c0 -55 -20 -97 -56 -149c0 -50 17 -97 70 -97c88 0 165 179 165 265c0 30 -4 52 -12 71"]};MathJax.Ajax.loadComplete(MathJax.OutputJax.SVG.fontDir+"/Normal/Italic/Main.js");
diff --git a/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js
index 5e8ace6bf0..cf5df0444e 100644
--- a/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js
index c510c5fcd2..7bb568f742 100644
--- a/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js
index 05da7937ec..8838e6521a 100644
--- a/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js b/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
index 1f5c1af1c9..fb8373d278 100644
--- a/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js b/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js
index fb8793003d..6b085fc251 100644
--- a/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js
index 0bdfaf6ea6..0e1cd741f5 100644
--- a/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js b/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js
index 3eb089d23e..5e67ee370b 100644
--- a/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js b/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js
index f994e92138..fd64f32479 100644
--- a/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js
index 896ff35349..e6983310f2 100644
--- a/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js
index 82c1454df0..cc29ecc012 100644
--- a/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js b/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js
index 2ad500de82..bb880b5abb 100644
--- a/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js
index 7237b81d13..82c9eb6f80 100644
--- a/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js
index 444823bbc0..7d8092af01 100644
--- a/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js
index 180bb3cb84..359e6a264a 100644
--- a/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js
index 8529418908..a1fa5a6266 100644
--- a/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js
index 2149990244..f4294ae280 100644
--- a/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js
index fa9e1be412..b75c54de9c 100644
--- a/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js
index a90745fcc5..9dfb49ed8a 100644
--- a/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js
index a706427e15..476d16de44 100644
--- a/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js b/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js
index 7bc28571be..b6d501c188 100644
--- a/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js b/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js
index 28cef2f07d..1cbb4cbcb6 100644
--- a/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js b/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js
index cc64082949..e89200538e 100644
--- a/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js b/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js
index 99490185d2..00978dc787 100644
--- a/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js
+++ b/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js b/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js
index f1dcab6305..9bdc2715b6 100644
--- a/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js
+++ b/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(L){var B="2.7.6";var t=L.FONTDATA.DELIMITERS;var s="H",f="V";var ah=[8722,E,0,0,0,-0.26,-0.26];var u="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",S="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",U="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",R="STIXMathJax_Main-bold-italic",ak="STIXMathJax_Main-bold",P="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",m="STIXMathJax_Marks-italic",aa="STIXMathJax_Marks",ai="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ae="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",al="STIXMathJax_Monospace",ac="STIXMathJax_Normal-bold-italic",Q="STIXMathJax_Normal-bold",T="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",N="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",am="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",O="STIXMathJax_Script-italic",X="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",l="STIXMathJax_Shapes",af="STIXMathJax_Size1",ad="STIXMathJax_Size2",ab="STIXMathJax_Size3",Z="STIXMathJax_Size4",Y="STIXMathJax_Size5",ag="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",aj="STIXMathJax_Variants-italic",M="STIXMathJax_Variants";var n={61:{dir:s,HW:[[589,E]],stretch:{rep:[61,E]}},711:{dir:s,HW:[[311,E],[560,af],[979,ad],[1460,ab],[1886,Z],[2328,Y]]},717:{dir:s,HW:[[312,aa]],stretch:{rep:[717,aa]}},759:{dir:s,HW:[[330,aa],[560,af],[979,ad],[1460,ab],[1886,Z],[2328,Y]]},8400:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57365,Y],rep:[57366,Y]}},8401:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57366,Y],right:[57367,Y]}},8406:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57368,Y],rep:[57366,Y]}},8417:{dir:s,HW:[[478,aa]],stretch:{left:[57368,Y],rep:[57366,Y],right:[57369,Y]}},8428:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57370,Y],right:[57371,Y]}},8429:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57372,Y],rep:[57370,Y]}},8430:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57373,Y],rep:[57370,Y]}},8431:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57370,Y],right:[57374,Y]}},8512:{dir:f,HW:[[1022,b],[1450,af]]},8606:{dir:s,HW:[[786,E]],stretch:{left:[8606,E],rep:ah}},8607:{dir:f,HW:[[816,x]],stretch:{ext:[9168,E],top:[8607,x]}},8608:{dir:s,HW:[[786,E]],stretch:{right:[8608,E],rep:ah}},8609:{dir:f,HW:[[816,x]],stretch:{ext:[9168,E],bot:[8609,x]}},8612:{dir:s,HW:[[787,x]],stretch:{left:[8592,E],rep:[9135,v],right:[10206,v]}},8613:{dir:f,HW:[[816,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8593,E]}},8614:{dir:s,HW:[[787,E]],stretch:{left:[10205,v],rep:[9135,v],right:[8594,E]}},8615:{dir:f,HW:[[816,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8595,E]}},8616:{dir:f,HW:[[816,x]],stretch:{top:[8593,E],ext:[9168,E],bot:[10515,x]}},8617:{dir:s,HW:[[786,E]],stretch:{left:[8592,E],rep:ah,right:[57525,x]}},8618:{dir:s,HW:[[786,E]],stretch:{left:[57524,x],rep:ah,right:[8594,E]}},8624:{dir:f,HW:[[818,E]],stretch:{top:[8624,E],ext:[9168,E,0.152]}},8625:{dir:f,HW:[[818,E]],stretch:{top:[8625,E],ext:[9168,E,-0.195]}},8626:{dir:f,HW:[[816,x]],stretch:{bot:[8626,x],ext:[9168,E,0.152]}},8627:{dir:f,HW:[[816,x]],stretch:{bot:[8627,x],ext:[9168,E,-0.195]}},8628:{dir:s,HW:[[786,x]],stretch:{rep:[8722,E,0,0.4],right:[8628,x]}},8629:{dir:f,HW:[[818,x]],stretch:{bot:[8629,x],ext:[9168,E,0.57]}},8636:{dir:s,HW:[[847,E]],stretch:{left:[8636,E],rep:[9135,v]}},8637:{dir:s,HW:[[847,E]],stretch:{left:[8637,E],rep:[9135,v]}},8638:{dir:f,HW:[[818,E]],stretch:{ext:[9168,E],top:[8638,E]}},8639:{dir:f,HW:[[818,E]],stretch:{ext:[9168,E],top:[8639,E]}},8640:{dir:s,HW:[[847,E]],stretch:{rep:[9135,v],right:[8640,E]}},8641:{dir:s,HW:[[847,E]],stretch:{right:[8641,E],rep:ah}},8642:{dir:f,HW:[[818,E]],stretch:{bot:[8642,E],ext:[9168,E]}},8643:{dir:f,HW:[[818,E]],stretch:{bot:[8643,E],ext:[9168,E]}},8651:{dir:s,HW:[[786,E]],stretch:{left:[10602,x],rep:[61,E],right:[10605,x]}},8652:{dir:s,HW:[[786,E]],stretch:{left:[10603,x],rep:[61,E],right:[10604,x]}},8666:{dir:s,HW:[[806,E]],stretch:{left:[8666,E],rep:[57377,Y]}},8667:{dir:s,HW:[[806,E]],stretch:{rep:[57377,Y],right:[8667,E]}},8672:{dir:s,HW:[[806,E]],stretch:{left:[8672,E],rep:[57633,x]}},8673:{dir:f,HW:[[818,x]],stretch:{ext:[57645,x],top:[8673,x]}},8674:{dir:s,HW:[[806,E]],stretch:{right:[8674,E],rep:[57646,x]}},8675:{dir:f,HW:[[818,x]],stretch:{ext:[57644,x],bot:[8675,x]}},8676:{dir:s,HW:[[806,x]],stretch:{left:[8676,x],rep:ah}},8677:{dir:s,HW:[[806,x]],stretch:{right:[8677,x],rep:ah}},8701:{dir:s,HW:[[806,x]],stretch:{left:[8701,x],rep:ah}},8702:{dir:s,HW:[[806,x]],stretch:{right:[8702,x],rep:ah}},8703:{dir:s,HW:[[886,x]],stretch:{left:[8701,x],rep:ah,right:[8702,x]}},8719:{dir:f,HW:[[1022,w],[1451,af]]},8720:{dir:f,HW:[[1022,w],[1451,af]]},8721:{dir:f,HW:[[1022,w],[1450,af]]},8731:{dir:f,HW:[[1232,w],[1847,af],[2460,ad],[3075,ab]],stretch:{bot:[57381,Y],ext:[57379,Y],top:[57380,Y]}},8732:{dir:f,HW:[[1232,w],[1847,af],[2460,ad],[3075,ab]],stretch:{bot:[57382,Y],ext:[57379,Y],top:[57380,Y]}},8747:{dir:f,HW:[[607,E],[979,af]],stretch:{top:[57404,Y],ext:[57405,Y],bot:[57406,Y]}},8748:{dir:f,HW:[[1144,w],[2269,af]]},8749:{dir:f,HW:[[1144,w],[2269,af]]},8750:{dir:f,HW:[[1144,w],[2269,af]]},8751:{dir:f,HW:[[1144,w],[2269,af]]},8752:{dir:f,HW:[[1144,w],[2269,af]]},8753:{dir:f,HW:[[1144,w],[2269,af]]},8754:{dir:f,HW:[[1144,w],[2269,af]]},8755:{dir:f,HW:[[1144,w],[2269,af]]},8896:{dir:f,HW:[[1022,w],[1451,af]]},8897:{dir:f,HW:[[1022,w],[1451,af]]},8898:{dir:f,HW:[[1032,w],[1461,af]]},8899:{dir:f,HW:[[1032,w],[1461,af]]},9130:{dir:f,HW:[[1010,Y,null,57357]],stretch:{top:[57357,Y],ext:[57357,Y],bot:[57357,Y]}},9140:{dir:s,HW:[[816,E],[925,af],[1458,ad],[1991,ab],[2524,Z],[3057,Y]],stretch:{left:[57383,Y],rep:[57384,Y],right:[57385,Y]}},9141:{dir:s,HW:[[816,E],[925,af],[1458,ad],[1991,ab],[2524,Z],[3057,Y]],stretch:{left:[57386,Y],rep:[57387,Y],right:[57388,Y]}},9168:{dir:f,HW:[[304,E],[690,af],[879,ad],[1350,ad,1.536],[1827,ad,2.078],[2303,ad,2.62],[2780,ad,3.162]],stretch:{ext:[8739,E]}},9180:{dir:s,HW:[[1000,E],[926,af],[1460,ad],[1886,ab],[2328,Z],[3237,Y]],stretch:{left:[57389,Y],rep:[57384,Y],right:[57390,Y]}},9181:{dir:s,HW:[[1000,E],[926,af],[1460,ad],[1886,ab],[2328,Z],[3237,Y]],stretch:{left:[57391,Y],rep:[57387,Y],right:[57392,Y]}},9184:{dir:s,HW:[[1000,E],[1460,af],[1886,ad],[2312,ab],[2738,Z],[3164,Y]]},9185:{dir:s,HW:[[1000,E],[1460,af],[1886,ad],[2312,ab],[2738,Z],[3164,Y]]},10098:{dir:f,HW:[[932,y],[1230,af],[1845,ad],[2459,ab],[3075,Z]]},10099:{dir:f,HW:[[932,y],[1230,af],[1845,ad],[2459,ab],[3075,Z]]},10214:{dir:f,HW:[[930,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]],stretch:{top:[9555,l],ext:[9553,l],bot:[9561,l]}},10215:{dir:f,HW:[[930,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]],stretch:{top:[9558,l],ext:[9553,l],bot:[9564,l]}},10218:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2461,ab],[3075,Z]]},10219:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2461,ab],[3075,Z]]},10224:{dir:f,HW:[[818,x]],stretch:{ext:[57399,Y],top:[10224,x]}},10225:{dir:f,HW:[[818,x]],stretch:{bot:[10225,x],ext:[57399,Y]}},10502:{dir:s,HW:[[816,x]],stretch:{left:[8656,E],rep:[61,E],right:[10980,w,0,-0.09]}},10503:{dir:s,HW:[[816,x]],stretch:{left:[8872,E,0,-0.09],rep:[61,E],right:[8658,E]}},10506:{dir:f,HW:[[818,x]],stretch:{ext:[57400,Y],top:[10506,x]}},10507:{dir:f,HW:[[818,x]],stretch:{bot:[10507,x],ext:[57400,Y]}},10514:{dir:f,HW:[[818,x]],stretch:{top:[10514,x],ext:[9168,E]}},10515:{dir:f,HW:[[818,x]],stretch:{bot:[10515,x],ext:[9168,E]}},10574:{dir:s,HW:[[850,x]],stretch:{left:[8636,E],rep:ah,right:[8640,E]}},10575:{dir:f,HW:[[818,x]],stretch:{top:[8638,E],ext:[9168,E],bot:[8642,E]}},10576:{dir:s,HW:[[850,x]],stretch:{left:[8637,E],rep:ah,right:[8641,E]}},10577:{dir:f,HW:[[818,x]],stretch:{top:[8639,E],ext:[9168,E],bot:[8643,E]}},10578:{dir:s,HW:[[816,x]],stretch:{left:[10578,x],rep:ah}},10579:{dir:s,HW:[[816,x]],stretch:{right:[10579,x],rep:ah}},10580:{dir:f,HW:[[818,x]],stretch:{top:[10580,x],ext:[9168,E]}},10581:{dir:f,HW:[[818,x]],stretch:{bot:[10581,x],ext:[9168,E]}},10582:{dir:s,HW:[[816,x]],stretch:{left:[10582,x],rep:ah}},10583:{dir:s,HW:[[816,x]],stretch:{right:[10583,x],rep:ah}},10584:{dir:f,HW:[[818,x]],stretch:{top:[10584,x],ext:[9168,E]}},10585:{dir:f,HW:[[818,x]],stretch:{bot:[10585,x],ext:[9168,E]}},10586:{dir:s,HW:[[816,x]],stretch:{left:[8636,E],rep:ah,right:[8867,ak,0,0.1,0.6]}},10587:{dir:s,HW:[[816,x]],stretch:{left:[57526,x],rep:ah,right:[8640,E]}},10588:{dir:f,HW:[[818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8638,E]}},10589:{dir:f,HW:[[818,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8642,E]}},10590:{dir:s,HW:[[816,x]],stretch:{left:[8637,E],rep:ah,right:[8867,ak,0,0.1,0.6]}},10591:{dir:s,HW:[[816,x]],stretch:{left:[57526,x],rep:ah,right:[8641,E]}},10592:{dir:f,HW:[[818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8639,E]}},10593:{dir:f,HW:[[818,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8643,E]}},10624:{dir:f,HW:[[884,v]],stretch:{ext:[10624,v]}},10627:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]]},10628:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]]},10629:{dir:f,HW:[[932,v],[1230,af],[1848,ad],[2459,ab],[3075,Z]]},10630:{dir:f,HW:[[932,v],[1230,af],[1848,ad],[2459,ab],[3075,Z]]},10647:{dir:f,HW:[[932,E]],stretch:{top:[57613,l,0.1,0.05],ext:[9168,E,-0.1],bot:[57612,l,0.1]}},10648:{dir:f,HW:[[932,E]],stretch:{top:[57612,l,-0.1,0.05],ext:[9168,E],bot:[57613,l,-0.1]}},10752:{dir:f,HW:[[1022,w],[1451,af]]},10753:{dir:f,HW:[[1022,w],[1451,af]]},10754:{dir:f,HW:[[1022,w],[1451,af]]},10755:{dir:f,HW:[[1032,w],[1461,af]]},10756:{dir:f,HW:[[1032,w],[1461,af]]},10757:{dir:f,HW:[[1022,w],[1451,af]]},10758:{dir:f,HW:[[1022,w],[1451,af]]},10759:{dir:f,HW:[[1022,w],[1451,af]]},10760:{dir:f,HW:[[1022,w],[1451,af]]},10761:{dir:f,HW:[[1022,w],[1451,af]]},10762:{dir:f,HW:[[1022,w],[1450,af]]},10763:{dir:f,HW:[[1144,w],[2269,af]]},10764:{dir:f,HW:[[1144,w],[2269,af]]},10765:{dir:f,HW:[[1144,w],[2269,af]]},10766:{dir:f,HW:[[1144,w],[2269,af]]},10767:{dir:f,HW:[[1144,w],[2269,af]]},10768:{dir:f,HW:[[1144,w],[2269,af]]},10769:{dir:f,HW:[[1144,w],[2269,af]]},10770:{dir:f,HW:[[1144,w],[2269,af]]},10771:{dir:f,HW:[[1144,w],[2269,af]]},10772:{dir:f,HW:[[1144,w],[2269,af]]},10773:{dir:f,HW:[[1144,w],[2269,af]]},10774:{dir:f,HW:[[1144,w],[2269,af]]},10775:{dir:f,HW:[[1144,w],[2269,af]]},10776:{dir:f,HW:[[1144,w],[2269,af]]},10777:{dir:f,HW:[[1144,w],[2269,af]]},10778:{dir:f,HW:[[1144,w],[2269,af]]},10779:{dir:f,HW:[[1267,w],[2426,af]]},10780:{dir:f,HW:[[1267,w],[2426,af]]},11004:{dir:f,HW:[[1022,w],[1230,af],[1875,ad]]},11007:{dir:f,HW:[[1022,w],[1230,af],[1875,ad]]},11077:{dir:s,HW:[[818,l]],stretch:{left:[11077,l],rep:[57401,Y]}}};for(var W in n){if(n.hasOwnProperty(W)){t[W]=n[W]}}MathJax.Ajax.loadComplete(L.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(L){var B="2.7.9";var t=L.FONTDATA.DELIMITERS;var s="H",f="V";var ah=[8722,E,0,0,0,-0.26,-0.26];var u="STIXMathJax_Alphabets-bold-italic",G="STIXMathJax_Alphabets-bold",z="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",S="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",U="STIXMathJax_Latin-bold-italic",C="STIXMathJax_Latin-bold",D="STIXMathJax_Latin-italic",K="STIXMathJax_Latin",R="STIXMathJax_Main-bold-italic",ak="STIXMathJax_Main-bold",P="STIXMathJax_Main-italic",E="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",I="STIXMathJax_Marks-bold",m="STIXMathJax_Marks-italic",aa="STIXMathJax_Marks",ai="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",ae="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",al="STIXMathJax_Monospace",ac="STIXMathJax_Normal-bold-italic",Q="STIXMathJax_Normal-bold",T="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",N="STIXMathJax_SansSerif-bold-italic",A="STIXMathJax_SansSerif-bold",am="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",O="STIXMathJax_Script-italic",X="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",J="STIXMathJax_Shapes-bold",l="STIXMathJax_Shapes",af="STIXMathJax_Size1",ad="STIXMathJax_Size2",ab="STIXMathJax_Size3",Z="STIXMathJax_Size4",Y="STIXMathJax_Size5",ag="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",F="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",aj="STIXMathJax_Variants-italic",M="STIXMathJax_Variants";var n={61:{dir:s,HW:[[589,E]],stretch:{rep:[61,E]}},711:{dir:s,HW:[[311,E],[560,af],[979,ad],[1460,ab],[1886,Z],[2328,Y]]},717:{dir:s,HW:[[312,aa]],stretch:{rep:[717,aa]}},759:{dir:s,HW:[[330,aa],[560,af],[979,ad],[1460,ab],[1886,Z],[2328,Y]]},8400:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57365,Y],rep:[57366,Y]}},8401:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57366,Y],right:[57367,Y]}},8406:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57368,Y],rep:[57366,Y]}},8417:{dir:s,HW:[[478,aa]],stretch:{left:[57368,Y],rep:[57366,Y],right:[57369,Y]}},8428:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57370,Y],right:[57371,Y]}},8429:{dir:s,HW:[[436,aa],[871,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57372,Y],rep:[57370,Y]}},8430:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{left:[57373,Y],rep:[57370,Y]}},8431:{dir:s,HW:[[436,aa],[872,af],[1308,ad],[1744,ab],[2180,Z],[3000,Y]],stretch:{rep:[57370,Y],right:[57374,Y]}},8512:{dir:f,HW:[[1022,b],[1450,af]]},8606:{dir:s,HW:[[786,E]],stretch:{left:[8606,E],rep:ah}},8607:{dir:f,HW:[[816,x]],stretch:{ext:[9168,E],top:[8607,x]}},8608:{dir:s,HW:[[786,E]],stretch:{right:[8608,E],rep:ah}},8609:{dir:f,HW:[[816,x]],stretch:{ext:[9168,E],bot:[8609,x]}},8612:{dir:s,HW:[[787,x]],stretch:{left:[8592,E],rep:[9135,v],right:[10206,v]}},8613:{dir:f,HW:[[816,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8593,E]}},8614:{dir:s,HW:[[787,E]],stretch:{left:[10205,v],rep:[9135,v],right:[8594,E]}},8615:{dir:f,HW:[[816,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8595,E]}},8616:{dir:f,HW:[[816,x]],stretch:{top:[8593,E],ext:[9168,E],bot:[10515,x]}},8617:{dir:s,HW:[[786,E]],stretch:{left:[8592,E],rep:ah,right:[57525,x]}},8618:{dir:s,HW:[[786,E]],stretch:{left:[57524,x],rep:ah,right:[8594,E]}},8624:{dir:f,HW:[[818,E]],stretch:{top:[8624,E],ext:[9168,E,0.152]}},8625:{dir:f,HW:[[818,E]],stretch:{top:[8625,E],ext:[9168,E,-0.195]}},8626:{dir:f,HW:[[816,x]],stretch:{bot:[8626,x],ext:[9168,E,0.152]}},8627:{dir:f,HW:[[816,x]],stretch:{bot:[8627,x],ext:[9168,E,-0.195]}},8628:{dir:s,HW:[[786,x]],stretch:{rep:[8722,E,0,0.4],right:[8628,x]}},8629:{dir:f,HW:[[818,x]],stretch:{bot:[8629,x],ext:[9168,E,0.57]}},8636:{dir:s,HW:[[847,E]],stretch:{left:[8636,E],rep:[9135,v]}},8637:{dir:s,HW:[[847,E]],stretch:{left:[8637,E],rep:[9135,v]}},8638:{dir:f,HW:[[818,E]],stretch:{ext:[9168,E],top:[8638,E]}},8639:{dir:f,HW:[[818,E]],stretch:{ext:[9168,E],top:[8639,E]}},8640:{dir:s,HW:[[847,E]],stretch:{rep:[9135,v],right:[8640,E]}},8641:{dir:s,HW:[[847,E]],stretch:{right:[8641,E],rep:ah}},8642:{dir:f,HW:[[818,E]],stretch:{bot:[8642,E],ext:[9168,E]}},8643:{dir:f,HW:[[818,E]],stretch:{bot:[8643,E],ext:[9168,E]}},8651:{dir:s,HW:[[786,E]],stretch:{left:[10602,x],rep:[61,E],right:[10605,x]}},8652:{dir:s,HW:[[786,E]],stretch:{left:[10603,x],rep:[61,E],right:[10604,x]}},8666:{dir:s,HW:[[806,E]],stretch:{left:[8666,E],rep:[57377,Y]}},8667:{dir:s,HW:[[806,E]],stretch:{rep:[57377,Y],right:[8667,E]}},8672:{dir:s,HW:[[806,E]],stretch:{left:[8672,E],rep:[57633,x]}},8673:{dir:f,HW:[[818,x]],stretch:{ext:[57645,x],top:[8673,x]}},8674:{dir:s,HW:[[806,E]],stretch:{right:[8674,E],rep:[57646,x]}},8675:{dir:f,HW:[[818,x]],stretch:{ext:[57644,x],bot:[8675,x]}},8676:{dir:s,HW:[[806,x]],stretch:{left:[8676,x],rep:ah}},8677:{dir:s,HW:[[806,x]],stretch:{right:[8677,x],rep:ah}},8701:{dir:s,HW:[[806,x]],stretch:{left:[8701,x],rep:ah}},8702:{dir:s,HW:[[806,x]],stretch:{right:[8702,x],rep:ah}},8703:{dir:s,HW:[[886,x]],stretch:{left:[8701,x],rep:ah,right:[8702,x]}},8719:{dir:f,HW:[[1022,w],[1451,af]]},8720:{dir:f,HW:[[1022,w],[1451,af]]},8721:{dir:f,HW:[[1022,w],[1450,af]]},8731:{dir:f,HW:[[1232,w],[1847,af],[2460,ad],[3075,ab]],stretch:{bot:[57381,Y],ext:[57379,Y],top:[57380,Y]}},8732:{dir:f,HW:[[1232,w],[1847,af],[2460,ad],[3075,ab]],stretch:{bot:[57382,Y],ext:[57379,Y],top:[57380,Y]}},8747:{dir:f,HW:[[607,E],[979,af]],stretch:{top:[57404,Y],ext:[57405,Y],bot:[57406,Y]}},8748:{dir:f,HW:[[1144,w],[2269,af]]},8749:{dir:f,HW:[[1144,w],[2269,af]]},8750:{dir:f,HW:[[1144,w],[2269,af]]},8751:{dir:f,HW:[[1144,w],[2269,af]]},8752:{dir:f,HW:[[1144,w],[2269,af]]},8753:{dir:f,HW:[[1144,w],[2269,af]]},8754:{dir:f,HW:[[1144,w],[2269,af]]},8755:{dir:f,HW:[[1144,w],[2269,af]]},8896:{dir:f,HW:[[1022,w],[1451,af]]},8897:{dir:f,HW:[[1022,w],[1451,af]]},8898:{dir:f,HW:[[1032,w],[1461,af]]},8899:{dir:f,HW:[[1032,w],[1461,af]]},9130:{dir:f,HW:[[1010,Y,null,57357]],stretch:{top:[57357,Y],ext:[57357,Y],bot:[57357,Y]}},9140:{dir:s,HW:[[816,E],[925,af],[1458,ad],[1991,ab],[2524,Z],[3057,Y]],stretch:{left:[57383,Y],rep:[57384,Y],right:[57385,Y]}},9141:{dir:s,HW:[[816,E],[925,af],[1458,ad],[1991,ab],[2524,Z],[3057,Y]],stretch:{left:[57386,Y],rep:[57387,Y],right:[57388,Y]}},9168:{dir:f,HW:[[304,E],[690,af],[879,ad],[1350,ad,1.536],[1827,ad,2.078],[2303,ad,2.62],[2780,ad,3.162]],stretch:{ext:[8739,E]}},9180:{dir:s,HW:[[1000,E],[926,af],[1460,ad],[1886,ab],[2328,Z],[3237,Y]],stretch:{left:[57389,Y],rep:[57384,Y],right:[57390,Y]}},9181:{dir:s,HW:[[1000,E],[926,af],[1460,ad],[1886,ab],[2328,Z],[3237,Y]],stretch:{left:[57391,Y],rep:[57387,Y],right:[57392,Y]}},9184:{dir:s,HW:[[1000,E],[1460,af],[1886,ad],[2312,ab],[2738,Z],[3164,Y]]},9185:{dir:s,HW:[[1000,E],[1460,af],[1886,ad],[2312,ab],[2738,Z],[3164,Y]]},10098:{dir:f,HW:[[932,y],[1230,af],[1845,ad],[2459,ab],[3075,Z]]},10099:{dir:f,HW:[[932,y],[1230,af],[1845,ad],[2459,ab],[3075,Z]]},10214:{dir:f,HW:[[930,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]],stretch:{top:[9555,l],ext:[9553,l],bot:[9561,l]}},10215:{dir:f,HW:[[930,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]],stretch:{top:[9558,l],ext:[9553,l],bot:[9564,l]}},10218:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2461,ab],[3075,Z]]},10219:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2461,ab],[3075,Z]]},10224:{dir:f,HW:[[818,x]],stretch:{ext:[57399,Y],top:[10224,x]}},10225:{dir:f,HW:[[818,x]],stretch:{bot:[10225,x],ext:[57399,Y]}},10502:{dir:s,HW:[[816,x]],stretch:{left:[8656,E],rep:[61,E],right:[10980,w,0,-0.09]}},10503:{dir:s,HW:[[816,x]],stretch:{left:[8872,E,0,-0.09],rep:[61,E],right:[8658,E]}},10506:{dir:f,HW:[[818,x]],stretch:{ext:[57400,Y],top:[10506,x]}},10507:{dir:f,HW:[[818,x]],stretch:{bot:[10507,x],ext:[57400,Y]}},10514:{dir:f,HW:[[818,x]],stretch:{top:[10514,x],ext:[9168,E]}},10515:{dir:f,HW:[[818,x]],stretch:{bot:[10515,x],ext:[9168,E]}},10574:{dir:s,HW:[[850,x]],stretch:{left:[8636,E],rep:ah,right:[8640,E]}},10575:{dir:f,HW:[[818,x]],stretch:{top:[8638,E],ext:[9168,E],bot:[8642,E]}},10576:{dir:s,HW:[[850,x]],stretch:{left:[8637,E],rep:ah,right:[8641,E]}},10577:{dir:f,HW:[[818,x]],stretch:{top:[8639,E],ext:[9168,E],bot:[8643,E]}},10578:{dir:s,HW:[[816,x]],stretch:{left:[10578,x],rep:ah}},10579:{dir:s,HW:[[816,x]],stretch:{right:[10579,x],rep:ah}},10580:{dir:f,HW:[[818,x]],stretch:{top:[10580,x],ext:[9168,E]}},10581:{dir:f,HW:[[818,x]],stretch:{bot:[10581,x],ext:[9168,E]}},10582:{dir:s,HW:[[816,x]],stretch:{left:[10582,x],rep:ah}},10583:{dir:s,HW:[[816,x]],stretch:{right:[10583,x],rep:ah}},10584:{dir:f,HW:[[818,x]],stretch:{top:[10584,x],ext:[9168,E]}},10585:{dir:f,HW:[[818,x]],stretch:{bot:[10585,x],ext:[9168,E]}},10586:{dir:s,HW:[[816,x]],stretch:{left:[8636,E],rep:ah,right:[8867,ak,0,0.1,0.6]}},10587:{dir:s,HW:[[816,x]],stretch:{left:[57526,x],rep:ah,right:[8640,E]}},10588:{dir:f,HW:[[818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8638,E]}},10589:{dir:f,HW:[[818,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8642,E]}},10590:{dir:s,HW:[[816,x]],stretch:{left:[8637,E],rep:ah,right:[8867,ak,0,0.1,0.6]}},10591:{dir:s,HW:[[816,x]],stretch:{left:[57526,x],rep:ah,right:[8641,E]}},10592:{dir:f,HW:[[818,x]],stretch:{bot:[95,E,0.05,-0.01,0.8],ext:[9168,E],top:[8639,E]}},10593:{dir:f,HW:[[818,x]],stretch:{top:[8868,ak,0.04,0,0.6],ext:[9168,E],bot:[8643,E]}},10624:{dir:f,HW:[[884,v]],stretch:{ext:[10624,v]}},10627:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]]},10628:{dir:f,HW:[[932,v],[1230,af],[1845,ad],[2460,ab],[3075,Z]]},10629:{dir:f,HW:[[932,v],[1230,af],[1848,ad],[2459,ab],[3075,Z]]},10630:{dir:f,HW:[[932,v],[1230,af],[1848,ad],[2459,ab],[3075,Z]]},10647:{dir:f,HW:[[932,E]],stretch:{top:[57613,l,0.1,0.05],ext:[9168,E,-0.1],bot:[57612,l,0.1]}},10648:{dir:f,HW:[[932,E]],stretch:{top:[57612,l,-0.1,0.05],ext:[9168,E],bot:[57613,l,-0.1]}},10752:{dir:f,HW:[[1022,w],[1451,af]]},10753:{dir:f,HW:[[1022,w],[1451,af]]},10754:{dir:f,HW:[[1022,w],[1451,af]]},10755:{dir:f,HW:[[1032,w],[1461,af]]},10756:{dir:f,HW:[[1032,w],[1461,af]]},10757:{dir:f,HW:[[1022,w],[1451,af]]},10758:{dir:f,HW:[[1022,w],[1451,af]]},10759:{dir:f,HW:[[1022,w],[1451,af]]},10760:{dir:f,HW:[[1022,w],[1451,af]]},10761:{dir:f,HW:[[1022,w],[1451,af]]},10762:{dir:f,HW:[[1022,w],[1450,af]]},10763:{dir:f,HW:[[1144,w],[2269,af]]},10764:{dir:f,HW:[[1144,w],[2269,af]]},10765:{dir:f,HW:[[1144,w],[2269,af]]},10766:{dir:f,HW:[[1144,w],[2269,af]]},10767:{dir:f,HW:[[1144,w],[2269,af]]},10768:{dir:f,HW:[[1144,w],[2269,af]]},10769:{dir:f,HW:[[1144,w],[2269,af]]},10770:{dir:f,HW:[[1144,w],[2269,af]]},10771:{dir:f,HW:[[1144,w],[2269,af]]},10772:{dir:f,HW:[[1144,w],[2269,af]]},10773:{dir:f,HW:[[1144,w],[2269,af]]},10774:{dir:f,HW:[[1144,w],[2269,af]]},10775:{dir:f,HW:[[1144,w],[2269,af]]},10776:{dir:f,HW:[[1144,w],[2269,af]]},10777:{dir:f,HW:[[1144,w],[2269,af]]},10778:{dir:f,HW:[[1144,w],[2269,af]]},10779:{dir:f,HW:[[1267,w],[2426,af]]},10780:{dir:f,HW:[[1267,w],[2426,af]]},11004:{dir:f,HW:[[1022,w],[1230,af],[1875,ad]]},11007:{dir:f,HW:[[1022,w],[1230,af],[1875,ad]]},11077:{dir:s,HW:[[818,l]],stretch:{left:[11077,l],rep:[57401,Y]}}};for(var W in n){if(n.hasOwnProperty(W)){t[W]=n[W]}}MathJax.Ajax.loadComplete(L.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/STIX-Web/fontdata.js b/jax/output/SVG/fonts/STIX-Web/fontdata.js
index 9d8f8a4ed7..aad8048c5c 100644
--- a/jax/output/SVG/fonts/STIX-Web/fontdata.js
+++ b/jax/output/SVG/fonts/STIX-Web/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/STIX-Web/fontdata.js
+ *  /MathJax-v2/jax/output/SVG/fonts/STIX-Web/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(N,l,an,s){var C="2.7.6";var u="STIXMathJax_Alphabets-bold-italic",I="STIXMathJax_Alphabets-bold",A="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",U="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",X="STIXMathJax_Latin-bold-italic",D="STIXMathJax_Latin-bold",E="STIXMathJax_Latin-italic",L="STIXMathJax_Latin",T="STIXMathJax_Main-bold-italic",al="STIXMathJax_Main-bold",R="STIXMathJax_Main-italic",F="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",J="STIXMathJax_Marks-bold",n="STIXMathJax_Marks-italic",ab="STIXMathJax_Marks",aj="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",af="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",am="STIXMathJax_Monospace",ad="STIXMathJax_Normal-bold-italic",S="STIXMathJax_Normal-bold",W="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",P="STIXMathJax_SansSerif-bold-italic",B="STIXMathJax_SansSerif-bold",ao="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",Q="STIXMathJax_Script-italic",Y="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",K="STIXMathJax_Shapes-bold",m="STIXMathJax_Shapes",ag="STIXMathJax_Size1",ae="STIXMathJax_Size2",ac="STIXMathJax_Size3",aa="STIXMathJax_Size4",Z="STIXMathJax_Size5",ah="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",G="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ak="STIXMathJax_Variants-italic",O="STIXMathJax_Variants";var t="H",f="V",M={load:"extra",dir:t},z={load:"extra",dir:f};var ai=[8722,F,0,0,0,-0.26,-0.26];N.Augment({FONTDATA:{version:C,baselineskip:1200,lineH:800,lineD:200,FONTS:{"STIXMathJax_Alphabets-bold-italic":"Alphabets/BoldItalic/Main.js","STIXMathJax_Alphabets-bold":"Alphabets/Bold/Main.js","STIXMathJax_Alphabets-italic":"Alphabets/Italic/Main.js",STIXMathJax_Alphabets:"Alphabets/Regular/Main.js","STIXMathJax_Arrows-bold":"Arrows/Bold/Main.js",STIXMathJax_Arrows:"Arrows/Regular/Main.js","STIXMathJax_DoubleStruck-bold-italic":"DoubleStruck/BoldItalic/Main.js","STIXMathJax_DoubleStruck-bold":"DoubleStruck/Bold/Main.js","STIXMathJax_DoubleStruck-italic":"DoubleStruck/Italic/Main.js",STIXMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js","STIXMathJax_Fraktur-bold":"Fraktur/Bold/Main.js",STIXMathJax_Fraktur:"Fraktur/Regular/Main.js","STIXMathJax_Latin-bold-italic":"Latin/BoldItalic/Main.js","STIXMathJax_Latin-bold":"Latin/Bold/Main.js","STIXMathJax_Latin-italic":"Latin/Italic/Main.js",STIXMathJax_Latin:"Latin/Regular/Main.js","STIXMathJax_Main-bold-italic":"Main/BoldItalic/Main.js","STIXMathJax_Main-bold":"Main/Bold/Main.js","STIXMathJax_Main-italic":"Main/Italic/Main.js",STIXMathJax_Main:"Main/Regular/Main.js","STIXMathJax_Marks-bold-italic":"Marks/BoldItalic/Main.js","STIXMathJax_Marks-bold":"Marks/Bold/Main.js","STIXMathJax_Marks-italic":"Marks/Italic/Main.js",STIXMathJax_Marks:"Marks/Regular/Main.js","STIXMathJax_Misc-bold-italic":"Misc/BoldItalic/Main.js","STIXMathJax_Misc-bold":"Misc/Bold/Main.js","STIXMathJax_Misc-italic":"Misc/Italic/Main.js",STIXMathJax_Misc:"Misc/Regular/Main.js",STIXMathJax_Monospace:"Monospace/Regular/Main.js","STIXMathJax_Normal-bold-italic":"Normal/BoldItalic/Main.js","STIXMathJax_Normal-bold":"Normal/Bold/Main.js","STIXMathJax_Normal-italic":"Normal/Italic/Main.js","STIXMathJax_Operators-bold":"Operators/Bold/Main.js",STIXMathJax_Operators:"Operators/Regular/Main.js","STIXMathJax_SansSerif-bold-italic":"SansSerif/BoldItalic/Main.js","STIXMathJax_SansSerif-bold":"SansSerif/Bold/Main.js","STIXMathJax_SansSerif-italic":"SansSerif/Italic/Main.js",STIXMathJax_SansSerif:"SansSerif/Regular/Main.js","STIXMathJax_Script-bold-italic":"Script/BoldItalic/Main.js","STIXMathJax_Script-italic":"Script/Italic/Main.js",STIXMathJax_Script:"Script/Regular/Main.js","STIXMathJax_Shapes-bold-italic":"Shapes/BoldItalic/Main.js","STIXMathJax_Shapes-bold":"Shapes/Bold/Main.js",STIXMathJax_Shapes:"Shapes/Regular/Main.js",STIXMathJax_Size1:"Size1/Regular/Main.js",STIXMathJax_Size2:"Size2/Regular/Main.js",STIXMathJax_Size3:"Size3/Regular/Main.js",STIXMathJax_Size4:"Size4/Regular/Main.js",STIXMathJax_Size5:"Size5/Regular/Main.js","STIXMathJax_Symbols-bold":"Symbols/Bold/Main.js",STIXMathJax_Symbols:"Symbols/Regular/Main.js","STIXMathJax_Variants-bold-italic":"Variants/BoldItalic/Main.js","STIXMathJax_Variants-bold":"Variants/Bold/Main.js","STIXMathJax_Variants-italic":"Variants/Italic/Main.js",STIXMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[F,am,L,e,ab,x,w,v,m,y,O,ag],remap:{124:[124,"-STIX-Web-variant"]}},bold:{fonts:[al,S,q,i,B,D,I,J,U,j,ah,K,h,o,ag],offsetA:119808,offsetG:120488,remap:{8706:120539,8711:120513},bold:true},italic:{fonts:[R,W,Q,c,ao,E,A,n,af,ak,ag],offsetA:119860,offsetG:120546,remap:{119893:8462,8706:120597,8711:120571},italic:true},"bold-italic":{fonts:[T,ad,a,g,P,X,u,k,r,aj,G,ag],offsetA:119860,offsetG:120604,remap:{119893:8462,8706:120655,8711:120629},bold:true,italic:true},"double-struck":{fonts:[b],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[p],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[q],offsetA:120172,bold:true},script:{fonts:[Q],offsetA:119964,italic:true,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[a],offsetA:120016,bold:true,italic:true},"sans-serif":{fonts:[d],offsetA:120224,offsetN:120802,offsetP:57725,remap:{8706:57724}},"bold-sans-serif":{fonts:[B],offsetA:120276,offsetN:120812,offsetG:120662,remap:{8706:120713,8711:120687},bold:true},"sans-serif-italic":{fonts:[ao],offsetA:120328,offsetN:57780,offsetP:57791,remap:{8706:57790},italic:true},"sans-serif-bold-italic":{fonts:[P],offsetA:120380,offsetN:57846,offsetG:120720,remap:{8706:120771,8711:120745},bold:true,italic:true},monospace:{fonts:[am],offsetA:120432,offsetN:120822},"-STIX-Web-variant":{remap:{10887:57360,10888:57359,9651:9653,9661:9663,124:[124,l.VARIANT.NORMAL]},fonts:[O,m,w,F,am,L,e,ab,x,v,y,ag]},"-tex-caligraphic":{offsetA:57901,noLowerCase:1,fonts:[ak,R,W,Q,c,ao,E,A,n,af,ag],italic:true},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989},fonts:[O,F,am,L,e,ab,x,w,v,m,y,ag]},"-tex-caligraphic-bold":{offsetA:57927,noLowerCase:1,fonts:[G,T,ad,a,g,P,X,u,k,r,aj,ag],italic:true,bold:true},"-tex-oldstyle-bold":{offsetN:57953,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991},fonts:[o,al,S,q,i,B,D,I,J,U,j,ah,K,h,ag],bold:true},"-tex-mathit":{fonts:[R,W,Q,c,ao,E,A,n,af,ak,ag],italic:true,noIC:true},"-largeOp":{fonts:[ag,F]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek-non-unicode",low:945,high:969,offset:"E",add:25},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:937,offset:"G"},{name:"vargreek",low:977,high:1014,offset:"G",remapOnly:true,remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}},{name:"PUAgreek",low:945,high:969,offset:"P",add:25},{name:"PUAGreek",low:913,high:937,offset:"P"},{name:"varPUAgreek",low:977,high:1014,offset:"P",remapOnly:true,remap:{1013:50,977:51,981:52,1009:53,982:54,1012:17}}],RULECHAR:9135,REMAP:{10:32,12296:10216,12297:10217,10072:8739,755:730,756:714,65079:9182,65080:9183},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u2190":"\u20D6","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:f,HW:[[853,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57344,Z],ext:[57345,Z],top:[57346,Z]}},41:{dir:f,HW:[[853,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57347,Z],ext:[57348,Z],top:[57349,Z]}},45:{alias:9135,dir:t},47:{dir:f,HW:[[690,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},61:M,91:{dir:f,HW:[[818,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57350,Z],ext:[57351,Z],top:[57352,Z]}},92:{dir:f,HW:[[690,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},93:{dir:f,HW:[[818,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57353,Z],ext:[57354,Z],top:[57355,Z]}},94:{alias:710,dir:t},95:{alias:9135,dir:t},123:{dir:f,HW:[[861,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57356,Z],ext:[57357,Z],mid:[57358,Z],top:[57359,Z]}},124:{dir:f,HW:[[690,F]],stretch:{bot:[124,F],ext:[124,F]}},125:{dir:f,HW:[[861,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57360,Z],ext:[57357,Z],mid:[57361,Z],top:[57362,Z]}},126:{alias:732,dir:t},175:{alias:9135,dir:t},710:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},711:M,713:{alias:9135,dir:t},717:M,732:{dir:t,HW:[[330,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},759:M,770:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},771:{dir:t,HW:[[330,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},773:{dir:t,HW:[[500,ab],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[57363,Z],rep:[57363,Z]}},780:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},816:{dir:t,HW:[[330,ab],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},818:{dir:t,HW:[[500,ab],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[57364,Z],rep:[57364,Z]}},824:{dir:f,HW:[[818,F],[553,ag],[662,ae],[818,ac],[959,aa],[1414,Z]]},8213:{alias:9135,dir:t},8214:{dir:f,HW:[[879,F]],stretch:{bot:[8214,F],ext:[8214,F]}},8215:{alias:9135,dir:t},8254:{dir:t,HW:[[500,F],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[8254,F],rep:[8254,F]}},8400:M,8401:M,8406:M,8407:{dir:t,HW:[[436,F],[872,ag],[1308,ae],[1744,ac],[2180,aa],[3000,Z]],stretch:{rep:[57366,Z],right:[57369,Z]}},8417:M,8428:M,8429:M,8430:M,8431:M,8512:z,8592:{dir:t,HW:[[786,F]],stretch:{left:[8592,F],rep:ai}},8593:{dir:f,HW:[[818,F]],stretch:{ext:[9168,F],top:[8593,F]}},8594:{dir:t,HW:[[786,F]],stretch:{rep:ai,right:[8594,F]}},8595:{dir:f,HW:[[818,F]],stretch:{bot:[8595,F],ext:[9168,F]}},8596:{dir:t,HW:[[850,F]],stretch:{left:[8592,F],rep:ai,right:[8594,F]}},8597:{dir:f,HW:[[954,F]],stretch:{bot:[8595,F],ext:[9168,F],top:[8593,F]}},8606:M,8607:z,8608:M,8609:z,8612:M,8613:z,8614:M,8615:z,8616:z,8617:M,8618:M,8624:z,8625:z,8626:z,8627:z,8628:M,8629:z,8636:M,8637:M,8638:z,8639:z,8640:M,8641:M,8642:z,8643:z,8651:M,8652:M,8656:{dir:t,HW:[[806,F]],stretch:{left:[8656,F],rep:[57375,Z]}},8657:{dir:f,HW:[[818,F]],stretch:{ext:[57376,Z],top:[8657,F]}},8658:{dir:t,HW:[[806,F]],stretch:{rep:[57375,Z],right:[8658,F]}},8659:{dir:f,HW:[[818,F]],stretch:{bot:[8659,F],ext:[57376,Z]}},8660:{dir:t,HW:[[886,F]],stretch:{left:[8656,F],rep:[57375,Z],right:[8658,F]}},8661:{dir:f,HW:[[954,F]],stretch:{bot:[8659,F],ext:[57376,Z],top:[8657,F]}},8666:M,8667:M,8672:M,8673:z,8674:M,8675:z,8676:M,8677:M,8701:M,8702:M,8703:M,8719:z,8720:z,8721:z,8722:{alias:9135,dir:t},8725:{alias:47,dir:f},8730:{dir:f,HW:[[1232,F],[1847,ag],[2460,ae],[3075,ac]],stretch:{bot:[57378,Z],ext:[57379,Z],top:[57380,Z]}},8731:z,8732:z,8739:{dir:f,HW:[[879,F]],stretch:{ext:[8739,F]}},8741:{dir:f,HW:[[879,F]],stretch:{ext:[8741,F]}},8747:z,8748:z,8749:z,8750:z,8751:z,8752:z,8753:z,8754:z,8755:z,8896:z,8897:z,8898:z,8899:z,8968:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{ext:[57351,Z],top:[57352,Z]}},8969:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{ext:[57354,Z],top:[57355,Z]}},8970:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57350,Z],ext:[57351,Z]}},8971:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57353,Z],ext:[57354,Z]}},8978:{alias:9180,dir:t},8994:{alias:9180,dir:t},8995:{alias:9181,dir:t},9001:{alias:10216,dir:f},9002:{alias:10217,dir:f},9130:z,9135:{dir:t,HW:[[315,v]],stretch:{rep:[9135,v]}},9136:{dir:f,HW:[[1000,Z,null,57402]],stretch:{top:[57359,Z],ext:[57357,Z],bot:[57360,Z]}},9137:{dir:f,HW:[[1000,Z,null,57403]],stretch:{top:[57362,Z],ext:[57357,Z],bot:[57356,Z]}},9140:M,9141:M,9168:z,9180:M,9181:M,9182:{dir:t,HW:[[1000,F],[925,ag],[1460,ae],[1886,ac],[2328,aa],[3238,Z]],stretch:{left:[57393,Z],rep:[57384,Z],mid:[57394,Z],right:[57395,Z]}},9183:{dir:t,HW:[[1000,F],[925,ag],[1460,ae],[1886,ac],[2328,aa],[3238,Z]],stretch:{left:[57396,Z],rep:[57387,Z],mid:[57397,Z],right:[57398,Z]}},9184:M,9185:M,9472:{alias:8722,dir:t},10072:{alias:8739,dir:f},10098:z,10099:z,10214:z,10215:z,10216:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},10217:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},10218:z,10219:z,10222:{dir:f,HW:[[853,F]],stretch:{bot:[57344,Z],ext:[57345,Z],top:[57346,Z]}},10223:{dir:f,HW:[[853,F]],stretch:{bot:[57347,Z],ext:[57348,Z],top:[57349,Z]}},10224:z,10225:z,10229:{alias:8592,dir:t},10230:{alias:8594,dir:t},10231:{alias:8596,dir:t},10232:{alias:8656,dir:t},10233:{alias:8658,dir:t},10234:{alias:8660,dir:t},10235:{alias:8612,dir:t},10236:{alias:8614,dir:t},10237:{alias:10502,dir:t},10238:{alias:10503,dir:t},10502:M,10503:M,10506:z,10507:z,10514:z,10515:z,10574:M,10575:z,10576:M,10577:z,10578:M,10579:M,10580:z,10581:z,10582:M,10583:M,10584:z,10585:z,10586:M,10587:M,10588:z,10589:z,10590:M,10591:M,10592:z,10593:z,10624:z,10627:z,10628:z,10629:z,10630:z,10647:z,10648:z,10744:{dir:f,HW:[[1020,F],[1845,ag]]},10745:{dir:f,HW:[[1020,F],[1845,ag]]},10752:z,10753:z,10754:z,10755:z,10756:z,10757:z,10758:z,10759:z,10760:z,10761:z,10762:z,10763:z,10764:z,10765:z,10766:z,10767:z,10768:z,10769:z,10770:z,10771:z,10772:z,10773:z,10774:z,10775:z,10776:z,10777:z,10778:z,10779:z,10780:z,11004:z,11007:z,11077:M,11078:{dir:t,HW:[[818,m]],stretch:{rep:[57401,Z],right:[11078,m]}},12296:{alias:10216,dir:f},12297:{alias:10217,dir:f},65079:{alias:9182,dir:t},65080:{alias:9183,dir:t}}}});MathJax.Hub.Register.LoadHook(N.fontDir+"/Main/Regular/Main.js",function(){N.FONTDATA.FONTS[F][8942][0]+=400;N.FONTDATA.FONTS[F][8945][0]+=500;N.FONTDATA.FONTS[F][8722][0]=N.FONTDATA.FONTS[F][43][0];N.FONTDATA.FONTS[F][8722][1]=N.FONTDATA.FONTS[F][43][1];N.FONTDATA.FONTS[F][61][1]+=100});MathJax.Hub.Register.LoadHook(N.fontDir+"/Size5/Regular/Main.js",function(){var H;H=N.FONTDATA.DELIMITERS[9182].stretch.rep[0];N.FONTDATA.FONTS[Z][H][0]+=200;N.FONTDATA.FONTS[Z][H][1]+=200;H=N.FONTDATA.DELIMITERS[9183].stretch.rep[0];N.FONTDATA.FONTS[Z][H][0]+=200;N.FONTDATA.FONTS[Z][H][1]+=200});an.loadComplete(N.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(N,l,an,s){var C="2.7.9";var u="STIXMathJax_Alphabets-bold-italic",I="STIXMathJax_Alphabets-bold",A="STIXMathJax_Alphabets-italic",e="STIXMathJax_Alphabets",U="STIXMathJax_Arrows-bold",x="STIXMathJax_Arrows",g="STIXMathJax_DoubleStruck-bold-italic",i="STIXMathJax_DoubleStruck-bold",c="STIXMathJax_DoubleStruck-italic",b="STIXMathJax_DoubleStruck",q="STIXMathJax_Fraktur-bold",p="STIXMathJax_Fraktur",X="STIXMathJax_Latin-bold-italic",D="STIXMathJax_Latin-bold",E="STIXMathJax_Latin-italic",L="STIXMathJax_Latin",T="STIXMathJax_Main-bold-italic",al="STIXMathJax_Main-bold",R="STIXMathJax_Main-italic",F="STIXMathJax_Main",k="STIXMathJax_Marks-bold-italic",J="STIXMathJax_Marks-bold",n="STIXMathJax_Marks-italic",ab="STIXMathJax_Marks",aj="STIXMathJax_Misc-bold-italic",h="STIXMathJax_Misc-bold",af="STIXMathJax_Misc-italic",y="STIXMathJax_Misc",am="STIXMathJax_Monospace",ad="STIXMathJax_Normal-bold-italic",S="STIXMathJax_Normal-bold",W="STIXMathJax_Normal-italic",j="STIXMathJax_Operators-bold",w="STIXMathJax_Operators",P="STIXMathJax_SansSerif-bold-italic",B="STIXMathJax_SansSerif-bold",ao="STIXMathJax_SansSerif-italic",d="STIXMathJax_SansSerif",a="STIXMathJax_Script-bold-italic",Q="STIXMathJax_Script-italic",Y="STIXMathJax_Script",r="STIXMathJax_Shapes-bold-italic",K="STIXMathJax_Shapes-bold",m="STIXMathJax_Shapes",ag="STIXMathJax_Size1",ae="STIXMathJax_Size2",ac="STIXMathJax_Size3",aa="STIXMathJax_Size4",Z="STIXMathJax_Size5",ah="STIXMathJax_Symbols-bold",v="STIXMathJax_Symbols",G="STIXMathJax_Variants-bold-italic",o="STIXMathJax_Variants-bold",ak="STIXMathJax_Variants-italic",O="STIXMathJax_Variants";var t="H",f="V",M={load:"extra",dir:t},z={load:"extra",dir:f};var ai=[8722,F,0,0,0,-0.26,-0.26];N.Augment({FONTDATA:{version:C,baselineskip:1200,lineH:800,lineD:200,FONTS:{"STIXMathJax_Alphabets-bold-italic":"Alphabets/BoldItalic/Main.js","STIXMathJax_Alphabets-bold":"Alphabets/Bold/Main.js","STIXMathJax_Alphabets-italic":"Alphabets/Italic/Main.js",STIXMathJax_Alphabets:"Alphabets/Regular/Main.js","STIXMathJax_Arrows-bold":"Arrows/Bold/Main.js",STIXMathJax_Arrows:"Arrows/Regular/Main.js","STIXMathJax_DoubleStruck-bold-italic":"DoubleStruck/BoldItalic/Main.js","STIXMathJax_DoubleStruck-bold":"DoubleStruck/Bold/Main.js","STIXMathJax_DoubleStruck-italic":"DoubleStruck/Italic/Main.js",STIXMathJax_DoubleStruck:"DoubleStruck/Regular/Main.js","STIXMathJax_Fraktur-bold":"Fraktur/Bold/Main.js",STIXMathJax_Fraktur:"Fraktur/Regular/Main.js","STIXMathJax_Latin-bold-italic":"Latin/BoldItalic/Main.js","STIXMathJax_Latin-bold":"Latin/Bold/Main.js","STIXMathJax_Latin-italic":"Latin/Italic/Main.js",STIXMathJax_Latin:"Latin/Regular/Main.js","STIXMathJax_Main-bold-italic":"Main/BoldItalic/Main.js","STIXMathJax_Main-bold":"Main/Bold/Main.js","STIXMathJax_Main-italic":"Main/Italic/Main.js",STIXMathJax_Main:"Main/Regular/Main.js","STIXMathJax_Marks-bold-italic":"Marks/BoldItalic/Main.js","STIXMathJax_Marks-bold":"Marks/Bold/Main.js","STIXMathJax_Marks-italic":"Marks/Italic/Main.js",STIXMathJax_Marks:"Marks/Regular/Main.js","STIXMathJax_Misc-bold-italic":"Misc/BoldItalic/Main.js","STIXMathJax_Misc-bold":"Misc/Bold/Main.js","STIXMathJax_Misc-italic":"Misc/Italic/Main.js",STIXMathJax_Misc:"Misc/Regular/Main.js",STIXMathJax_Monospace:"Monospace/Regular/Main.js","STIXMathJax_Normal-bold-italic":"Normal/BoldItalic/Main.js","STIXMathJax_Normal-bold":"Normal/Bold/Main.js","STIXMathJax_Normal-italic":"Normal/Italic/Main.js","STIXMathJax_Operators-bold":"Operators/Bold/Main.js",STIXMathJax_Operators:"Operators/Regular/Main.js","STIXMathJax_SansSerif-bold-italic":"SansSerif/BoldItalic/Main.js","STIXMathJax_SansSerif-bold":"SansSerif/Bold/Main.js","STIXMathJax_SansSerif-italic":"SansSerif/Italic/Main.js",STIXMathJax_SansSerif:"SansSerif/Regular/Main.js","STIXMathJax_Script-bold-italic":"Script/BoldItalic/Main.js","STIXMathJax_Script-italic":"Script/Italic/Main.js",STIXMathJax_Script:"Script/Regular/Main.js","STIXMathJax_Shapes-bold-italic":"Shapes/BoldItalic/Main.js","STIXMathJax_Shapes-bold":"Shapes/Bold/Main.js",STIXMathJax_Shapes:"Shapes/Regular/Main.js",STIXMathJax_Size1:"Size1/Regular/Main.js",STIXMathJax_Size2:"Size2/Regular/Main.js",STIXMathJax_Size3:"Size3/Regular/Main.js",STIXMathJax_Size4:"Size4/Regular/Main.js",STIXMathJax_Size5:"Size5/Regular/Main.js","STIXMathJax_Symbols-bold":"Symbols/Bold/Main.js",STIXMathJax_Symbols:"Symbols/Regular/Main.js","STIXMathJax_Variants-bold-italic":"Variants/BoldItalic/Main.js","STIXMathJax_Variants-bold":"Variants/Bold/Main.js","STIXMathJax_Variants-italic":"Variants/Italic/Main.js",STIXMathJax_Variants:"Variants/Regular/Main.js"},VARIANT:{normal:{fonts:[F,am,L,e,ab,x,w,v,m,y,O,ag],remap:{124:[124,"-STIX-Web-variant"]}},bold:{fonts:[al,S,q,i,B,D,I,J,U,j,ah,K,h,o,ag],offsetA:119808,offsetG:120488,remap:{8706:120539,8711:120513},bold:true},italic:{fonts:[R,W,Q,c,ao,E,A,n,af,ak,ag],offsetA:119860,offsetG:120546,remap:{119893:8462,8706:120597,8711:120571},italic:true},"bold-italic":{fonts:[T,ad,a,g,P,X,u,k,r,aj,G,ag],offsetA:119912,offsetG:120604,remap:{119893:8462,8706:120655,8711:120629},bold:true,italic:true},"double-struck":{fonts:[b],offsetA:120120,offsetN:120792,remap:{120122:8450,120127:8461,120133:8469,120135:8473,120136:8474,120137:8477,120145:8484}},fraktur:{fonts:[p],offsetA:120068,remap:{120070:8493,120075:8460,120076:8465,120085:8476,120093:8488}},"bold-fraktur":{fonts:[q],offsetA:120172,bold:true},script:{fonts:[Q],offsetA:119964,italic:true,remap:{119965:8492,119968:8496,119969:8497,119971:8459,119972:8464,119975:8466,119976:8499,119981:8475,119994:8495,119996:8458,120004:8500}},"bold-script":{fonts:[a],offsetA:120016,bold:true,italic:true},"sans-serif":{fonts:[d],offsetA:120224,offsetN:120802,offsetP:57725,remap:{8706:57724}},"bold-sans-serif":{fonts:[B],offsetA:120276,offsetN:120812,offsetG:120662,remap:{8706:120713,8711:120687},bold:true},"sans-serif-italic":{fonts:[ao],offsetA:120328,offsetN:57780,offsetP:57791,remap:{8706:57790},italic:true},"sans-serif-bold-italic":{fonts:[P],offsetA:120380,offsetN:57846,offsetG:120720,remap:{8706:120771,8711:120745},bold:true,italic:true},monospace:{fonts:[am],offsetA:120432,offsetN:120822},"-STIX-Web-variant":{remap:{10887:57360,10888:57359,9651:9653,9661:9663,124:[124,l.VARIANT.NORMAL]},fonts:[O,m,w,F,am,L,e,ab,x,v,y,ag]},"-tex-caligraphic":{offsetA:57901,noLowerCase:1,fonts:[ak,R,W,Q,c,ao,E,A,n,af,ag],italic:true},"-tex-oldstyle":{offsetN:57953,remap:{57954:57957,57955:57961,57956:57965,57957:57969,57958:57973,57959:57977,57960:57981,57961:57985,57962:57989},fonts:[O,F,am,L,e,ab,x,w,v,m,y,ag]},"-tex-caligraphic-bold":{offsetA:57927,noLowerCase:1,fonts:[G,T,ad,a,g,P,X,u,k,r,aj,ag],italic:true,bold:true},"-tex-oldstyle-bold":{offsetN:57953,remap:{57956:57959,57957:57963,57958:57967,57959:57971,57960:57975,57961:57979,57962:57983,57963:57987,57964:57991},fonts:[o,al,S,q,i,B,D,I,J,U,j,ah,K,h,ag],bold:true},"-tex-mathit":{fonts:[R,W,Q,c,ao,E,A,n,af,ak,ag],italic:true,noIC:true},"-largeOp":{fonts:[ag,F]},"-smallOp":{}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:26},{name:"Alpha",low:65,high:90,offset:"A"},{name:"number",low:48,high:57,offset:"N"},{name:"greek-non-unicode",low:945,high:969,offset:"E",add:25},{name:"greek",low:945,high:969,offset:"G",add:26},{name:"Greek",low:913,high:937,offset:"G"},{name:"vargreek",low:977,high:1014,offset:"G",remapOnly:true,remap:{1013:52,977:53,1008:54,981:55,1009:56,982:57,1012:17}},{name:"PUAgreek",low:945,high:969,offset:"P",add:25},{name:"PUAGreek",low:913,high:937,offset:"P"},{name:"varPUAgreek",low:977,high:1014,offset:"P",remapOnly:true,remap:{1013:50,977:51,981:52,1009:53,982:54,1012:17}}],RULECHAR:9135,REMAP:{10:32,12296:10216,12297:10217,10072:8739,755:730,756:714,65079:9182,65080:9183},REMAPACCENT:{"\u007E":"\u0303","\u2192":"\u20D7","\u2190":"\u20D6","\u0060":"\u0300","\u005E":"\u0302","\u00B4":"\u0301","\u2032":"\u0301","\u2035":"\u0300"},REMAPACCENTUNDER:{},DELIMITERS:{40:{dir:f,HW:[[853,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57344,Z],ext:[57345,Z],top:[57346,Z]}},41:{dir:f,HW:[[853,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57347,Z],ext:[57348,Z],top:[57349,Z]}},45:{alias:9135,dir:t},47:{dir:f,HW:[[690,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},61:M,91:{dir:f,HW:[[818,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57350,Z],ext:[57351,Z],top:[57352,Z]}},92:{dir:f,HW:[[690,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},93:{dir:f,HW:[[818,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57353,Z],ext:[57354,Z],top:[57355,Z]}},94:{alias:710,dir:t},95:{alias:9135,dir:t},123:{dir:f,HW:[[861,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57356,Z],ext:[57357,Z],mid:[57358,Z],top:[57359,Z]}},124:{dir:f,HW:[[690,F]],stretch:{bot:[124,F],ext:[124,F]}},125:{dir:f,HW:[[861,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57360,Z],ext:[57357,Z],mid:[57361,Z],top:[57362,Z]}},126:{alias:732,dir:t},175:{alias:9135,dir:t},710:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},711:M,713:{alias:9135,dir:t},717:M,732:{dir:t,HW:[[330,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},759:M,770:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},771:{dir:t,HW:[[330,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},773:{dir:t,HW:[[500,ab],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[57363,Z],rep:[57363,Z]}},780:{dir:t,HW:[[311,F],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},816:{dir:t,HW:[[330,ab],[560,ag],[979,ae],[1460,ac],[1886,aa],[2328,Z]]},818:{dir:t,HW:[[500,ab],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[57364,Z],rep:[57364,Z]}},824:{dir:f,HW:[[818,F],[553,ag],[662,ae],[818,ac],[959,aa],[1414,Z]]},8213:{alias:9135,dir:t},8214:{dir:f,HW:[[879,F]],stretch:{bot:[8214,F],ext:[8214,F]}},8215:{alias:9135,dir:t},8254:{dir:t,HW:[[500,F],[1000,ag],[1500,ae],[2000,ac],[2500,aa],[3000,Z]],stretch:{left:[8254,F],rep:[8254,F]}},8400:M,8401:M,8406:M,8407:{dir:t,HW:[[436,F],[872,ag],[1308,ae],[1744,ac],[2180,aa],[3000,Z]],stretch:{rep:[57366,Z],right:[57369,Z]}},8417:M,8428:M,8429:M,8430:M,8431:M,8512:z,8592:{dir:t,HW:[[786,F]],stretch:{left:[8592,F],rep:ai}},8593:{dir:f,HW:[[818,F]],stretch:{ext:[9168,F],top:[8593,F]}},8594:{dir:t,HW:[[786,F]],stretch:{rep:ai,right:[8594,F]}},8595:{dir:f,HW:[[818,F]],stretch:{bot:[8595,F],ext:[9168,F]}},8596:{dir:t,HW:[[850,F]],stretch:{left:[8592,F],rep:ai,right:[8594,F]}},8597:{dir:f,HW:[[954,F]],stretch:{bot:[8595,F],ext:[9168,F],top:[8593,F]}},8606:M,8607:z,8608:M,8609:z,8612:M,8613:z,8614:M,8615:z,8616:z,8617:M,8618:M,8624:z,8625:z,8626:z,8627:z,8628:M,8629:z,8636:M,8637:M,8638:z,8639:z,8640:M,8641:M,8642:z,8643:z,8651:M,8652:M,8656:{dir:t,HW:[[806,F]],stretch:{left:[8656,F],rep:[57375,Z]}},8657:{dir:f,HW:[[818,F]],stretch:{ext:[57376,Z],top:[8657,F]}},8658:{dir:t,HW:[[806,F]],stretch:{rep:[57375,Z],right:[8658,F]}},8659:{dir:f,HW:[[818,F]],stretch:{bot:[8659,F],ext:[57376,Z]}},8660:{dir:t,HW:[[886,F]],stretch:{left:[8656,F],rep:[57375,Z],right:[8658,F]}},8661:{dir:f,HW:[[954,F]],stretch:{bot:[8659,F],ext:[57376,Z],top:[8657,F]}},8666:M,8667:M,8672:M,8673:z,8674:M,8675:z,8676:M,8677:M,8701:M,8702:M,8703:M,8719:z,8720:z,8721:z,8722:{alias:9135,dir:t},8725:{alias:47,dir:f},8730:{dir:f,HW:[[1232,F],[1847,ag],[2460,ae],[3075,ac]],stretch:{bot:[57378,Z],ext:[57379,Z],top:[57380,Z]}},8731:z,8732:z,8739:{dir:f,HW:[[879,F]],stretch:{ext:[8739,F]}},8741:{dir:f,HW:[[879,F]],stretch:{ext:[8741,F]}},8747:z,8748:z,8749:z,8750:z,8751:z,8752:z,8753:z,8754:z,8755:z,8896:z,8897:z,8898:z,8899:z,8968:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{ext:[57351,Z],top:[57352,Z]}},8969:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{ext:[57354,Z],top:[57355,Z]}},8970:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57350,Z],ext:[57351,Z]}},8971:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]],stretch:{bot:[57353,Z],ext:[57354,Z]}},8978:{alias:9180,dir:t},8994:{alias:9180,dir:t},8995:{alias:9181,dir:t},9001:{alias:10216,dir:f},9002:{alias:10217,dir:f},9130:z,9135:{dir:t,HW:[[315,v]],stretch:{rep:[9135,v]}},9136:{dir:f,HW:[[1000,Z,null,57402]],stretch:{top:[57359,Z],ext:[57357,Z],bot:[57360,Z]}},9137:{dir:f,HW:[[1000,Z,null,57403]],stretch:{top:[57362,Z],ext:[57357,Z],bot:[57356,Z]}},9140:M,9141:M,9168:z,9180:M,9181:M,9182:{dir:t,HW:[[1000,F],[925,ag],[1460,ae],[1886,ac],[2328,aa],[3238,Z]],stretch:{left:[57393,Z],rep:[57384,Z],mid:[57394,Z],right:[57395,Z]}},9183:{dir:t,HW:[[1000,F],[925,ag],[1460,ae],[1886,ac],[2328,aa],[3238,Z]],stretch:{left:[57396,Z],rep:[57387,Z],mid:[57397,Z],right:[57398,Z]}},9184:M,9185:M,9472:{alias:8722,dir:t},10072:{alias:8739,dir:f},10098:z,10099:z,10214:z,10215:z,10216:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},10217:{dir:f,HW:[[926,F],[1230,ag],[1350,ag,1.098],[1845,ae],[2460,ac],[3075,aa]]},10218:z,10219:z,10222:{dir:f,HW:[[853,F]],stretch:{bot:[57344,Z],ext:[57345,Z],top:[57346,Z]}},10223:{dir:f,HW:[[853,F]],stretch:{bot:[57347,Z],ext:[57348,Z],top:[57349,Z]}},10224:z,10225:z,10229:{alias:8592,dir:t},10230:{alias:8594,dir:t},10231:{alias:8596,dir:t},10232:{alias:8656,dir:t},10233:{alias:8658,dir:t},10234:{alias:8660,dir:t},10235:{alias:8612,dir:t},10236:{alias:8614,dir:t},10237:{alias:10502,dir:t},10238:{alias:10503,dir:t},10502:M,10503:M,10506:z,10507:z,10514:z,10515:z,10574:M,10575:z,10576:M,10577:z,10578:M,10579:M,10580:z,10581:z,10582:M,10583:M,10584:z,10585:z,10586:M,10587:M,10588:z,10589:z,10590:M,10591:M,10592:z,10593:z,10624:z,10627:z,10628:z,10629:z,10630:z,10647:z,10648:z,10744:{dir:f,HW:[[1020,F],[1845,ag]]},10745:{dir:f,HW:[[1020,F],[1845,ag]]},10752:z,10753:z,10754:z,10755:z,10756:z,10757:z,10758:z,10759:z,10760:z,10761:z,10762:z,10763:z,10764:z,10765:z,10766:z,10767:z,10768:z,10769:z,10770:z,10771:z,10772:z,10773:z,10774:z,10775:z,10776:z,10777:z,10778:z,10779:z,10780:z,11004:z,11007:z,11077:M,11078:{dir:t,HW:[[818,m]],stretch:{rep:[57401,Z],right:[11078,m]}},12296:{alias:10216,dir:f},12297:{alias:10217,dir:f},65079:{alias:9182,dir:t},65080:{alias:9183,dir:t}}}});MathJax.Hub.Register.LoadHook(N.fontDir+"/Main/Regular/Main.js",function(){N.FONTDATA.FONTS[F][8942][0]+=400;N.FONTDATA.FONTS[F][8945][0]+=500;N.FONTDATA.FONTS[F][8722][0]=N.FONTDATA.FONTS[F][43][0];N.FONTDATA.FONTS[F][8722][1]=N.FONTDATA.FONTS[F][43][1];N.FONTDATA.FONTS[F][61][1]+=100});MathJax.Hub.Register.LoadHook(N.fontDir+"/Size5/Regular/Main.js",function(){var H;H=N.FONTDATA.DELIMITERS[9182].stretch.rep[0];N.FONTDATA.FONTS[Z][H][0]+=200;N.FONTDATA.FONTS[Z][H][1]+=200;H=N.FONTDATA.DELIMITERS[9183].stretch.rep[0];N.FONTDATA.FONTS[Z][H][0]+=200;N.FONTDATA.FONTS[Z][H][1]+=200});an.loadComplete(N.fontDir+"/fontdata.js")})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js b/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js
index 007f8414dc..9177d949c6 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js b/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js
index 8bd3c20e24..350d18303a 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js b/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js
index 32cadd438d..4ada289885 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js b/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js
index 5fded2158d..993aa3098a 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js b/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
index aa0add4ab8..6e2d555810 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js b/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js
index 1843d7de8e..9a1b17ff8f 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js b/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js
index c9322c638e..0aea61d53f 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js b/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js
index faf83cee07..e8a7ff0913 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js b/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js
index 860dac7fad..5185a5f2c4 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js b/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js
index 13bbb1753c..efc80f1de2 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js b/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
index b3e34865aa..77cb2148ac 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js b/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js
index 60087c7ce5..957b24f58e 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js b/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js
index ee5e9483ed..0c146286a4 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js b/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
index 6256e7f33e..83e21c3df4 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js b/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js
index 479a2e172e..ca2a67a1da 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js b/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js
index 9c4e383223..2628ab3595 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js b/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js
index afa8eaeb8b..e942b669a2 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js b/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js
index ef6e3b97e6..a1dc5b0c60 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js b/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js
index b2fe5b401a..c370e29012 100644
--- a/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js
+++ b/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js b/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js
index 3c3b5d0f5e..a1b8be725b 100644
--- a/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js
+++ b/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js b/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js
index cb1db635ed..f0f4d5d766 100644
--- a/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js
+++ b/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js b/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js
index 9cb29bf2c9..886aa4a750 100644
--- a/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js
+++ b/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js b/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js
index c89d18138a..4f3f6bec5b 100644
--- a/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js
+++ b/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js b/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js
index e16dbb4b77..4e689818cb 100644
--- a/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js
+++ b/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js b/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js
index ebaedde2fb..0e7344a0bb 100644
--- a/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js
+++ b/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js b/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js
index 44f1097ded..8b44b728f3 100644
--- a/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js
+++ b/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js b/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js
index 9332172cbb..0e5b6d1b24 100644
--- a/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js
+++ b/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js b/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js
index fc29c58863..e09d4759d5 100644
--- a/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js
+++ b/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js b/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js
index b82500ba62..90af8388b9 100644
--- a/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js
+++ b/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js b/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js
index b05a3d50df..2b35844c60 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js b/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js
index 48a095c5a1..ce4a01c11a 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js b/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js
index 485e8d0f56..ffc4c6c44d 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js b/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js
index abf36dc1af..f2e1e5270f 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js b/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js
index c18ef747d2..7693a44ab4 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js b/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js
index 8cdaba43f8..5331f0d836 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js b/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js
index 22727652a7..4a4de1035f 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js b/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js
index 32424d8000..fca1324817 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js b/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js
index 147f150a0f..8b29608798 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js b/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js
index c2ed7c846e..d51a6f66d0 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js b/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js
index d27caa4f70..fe75653554 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/Main.js b/jax/output/SVG/fonts/TeX/Main/Bold/Main.js
index 988c6c5583..bf3ed9343a 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/Main.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js b/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js
index 9e2ed8f0e4..2b46142b26 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js b/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
index 60ec332a59..bb1a0e4540 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js b/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js
index 75749442c5..1e05fda791 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js b/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js
index 55d0d0ef1a..924b4266c4 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js b/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js
index 57dd84621d..b0adf3142c 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js b/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js
index ddf78927bf..ec6bb5503f 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js b/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js
index 0e2c8d2723..ffd895747b 100644
--- a/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js
+++ b/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js b/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js
index ec994d6eaa..43486d0110 100644
--- a/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js
+++ b/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js b/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js
index a98ab5255f..9c15996110 100644
--- a/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js
+++ b/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js b/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js
index 822ab76b9a..ca04909366 100644
--- a/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js
+++ b/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js b/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js
index 25ac7b7300..11f3e8351c 100644
--- a/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js
+++ b/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js b/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js
index 4e5ab8ec28..2e00b4b78e 100644
--- a/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js
+++ b/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js b/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js
index 9289a9f0bb..b52ffe4144 100644
--- a/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js
+++ b/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js b/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js
index 629408c4dd..adf89c219e 100644
--- a/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js
+++ b/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Italic/Main.js b/jax/output/SVG/fonts/TeX/Main/Italic/Main.js
index a24577bd1d..31974e09b4 100644
--- a/jax/output/SVG/fonts/TeX/Main/Italic/Main.js
+++ b/jax/output/SVG/fonts/TeX/Main/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js b/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js
index aaea81aaa3..1276bb0c81 100644
--- a/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js
+++ b/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js b/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js
index 5ad0c3b270..e7b89ae714 100644
--- a/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js
+++ b/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js b/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js
index b350760dd0..2af92c742c 100644
--- a/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js
+++ b/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js b/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js
index ecc585da9f..a55f83527d 100644
--- a/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js
+++ b/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js b/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js
index 5e040aa158..16106a1b5a 100644
--- a/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js
+++ b/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js b/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js
index 3ea693cb26..4f7551d291 100644
--- a/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js
+++ b/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js b/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js
index ba9a2f7d47..14c24a210f 100644
--- a/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js
+++ b/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Regular/Main.js b/jax/output/SVG/fonts/TeX/Main/Regular/Main.js
index 13b6cd4cc4..05c74524f8 100644
--- a/jax/output/SVG/fonts/TeX/Main/Regular/Main.js
+++ b/jax/output/SVG/fonts/TeX/Main/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js b/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js
index 8b30815067..f09b8a4612 100644
--- a/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js
+++ b/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js b/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js
index 9a2b3de65b..eb0796fe27 100644
--- a/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js
+++ b/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js b/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js
index 1ce94e9f13..ffe27a6880 100644
--- a/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js
+++ b/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js b/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js
index 1879b45d02..16bd16f10f 100644
--- a/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js
+++ b/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Math/Italic/Main.js b/jax/output/SVG/fonts/TeX/Math/Italic/Main.js
index e00b909a5a..661da6da39 100644
--- a/jax/output/SVG/fonts/TeX/Math/Italic/Main.js
+++ b/jax/output/SVG/fonts/TeX/Math/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Math/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Math/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js b/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js
index f7708774c5..0415545078 100644
--- a/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js
+++ b/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js b/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
index c8cf4bc023..582aa21324 100644
--- a/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
+++ b/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js b/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js
index bc41d953be..fcbaca6c99 100644
--- a/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js
+++ b/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js b/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js
index 3674e5d6ab..03f1ac568e 100644
--- a/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js
+++ b/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js b/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js
index b0a413a430..38433188da 100644
--- a/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js
+++ b/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js b/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
index bbf350b8a8..36526e188f 100644
--- a/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
+++ b/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js b/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js
index 818ba2e637..8e095b9b1b 100644
--- a/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js
+++ b/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js b/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js
index a7d77b1778..7b105eb0a8 100644
--- a/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js
+++ b/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js b/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js
index 36a1b0b39f..62ec3c2617 100644
--- a/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js
+++ b/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js b/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
index 2dff0012f1..c35f6a98b0 100644
--- a/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
+++ b/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js b/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js
index ecfdc58c8f..be3f1b79cf 100644
--- a/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js
+++ b/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js b/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js
index d4a47fd90b..f81a7f4efe 100644
--- a/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js
+++ b/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js b/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js
index 3a330877b7..71b2c9cdfe 100644
--- a/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js
+++ b/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Script/Regular/Main.js b/jax/output/SVG/fonts/TeX/Script/Regular/Main.js
index bce2411e87..9e9c665801 100644
--- a/jax/output/SVG/fonts/TeX/Script/Regular/Main.js
+++ b/jax/output/SVG/fonts/TeX/Script/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Script/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Script/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js b/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js
index 23637941b2..3cf7479734 100644
--- a/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js
+++ b/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js b/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js
index bb32b72774..bb9864a6a0 100644
--- a/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js
+++ b/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js b/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js
index d112d6b074..a9c02d460e 100644
--- a/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js
+++ b/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js b/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js
index 12734e2fec..97a2d33636 100644
--- a/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js
+++ b/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js b/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js
index 5ac6b70483..fed4f550c7 100644
--- a/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js
+++ b/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js b/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
index 23e8f80290..736df70401 100644
--- a/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
+++ b/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js b/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js
index 66da9cf7c5..b7eda0cbd6 100644
--- a/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js
+++ b/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js b/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js
index 444893d169..7d7071c28a 100644
--- a/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js
+++ b/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/jax/output/SVG/fonts/TeX/fontdata-extra.js b/jax/output/SVG/fonts/TeX/fontdata-extra.js
index c526c68e9b..e45051aa74 100644
--- a/jax/output/SVG/fonts/TeX/fontdata-extra.js
+++ b/jax/output/SVG/fonts/TeX/fontdata-extra.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/fontdata-extra.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/fontdata-extra.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(a){var n="2.7.6";var m=a.FONTDATA.DELIMITERS;var h="MathJax_Main",i="MathJax_Main-bold",k="MathJax_AMS",f="MathJax_Size1",b="MathJax_Size4";var l="H",g="V";var j=[8722,h,0,0,0,-0.31,-0.31];var d=[61,h,0,0,0,0,0.1];var e={61:{dir:l,HW:[[767,h]],stretch:{rep:[61,h]}},8606:{dir:l,HW:[[1000,k]],stretch:{left:[8606,k],rep:j}},8608:{dir:l,HW:[[1000,k]],stretch:{right:[8608,k],rep:j}},8612:{dir:l,HW:[],stretch:{min:1,left:[8592,h],rep:j,right:[8739,f,0,-0.05,0.9]}},8613:{dir:g,HW:[],stretch:{min:0.6,bot:[8869,i,0,0,0.75],ext:[9168,f],top:[8593,f]}},8614:{dir:l,HW:[[1000,h]],stretch:{left:[8739,f,-0.09,-0.05,0.9],rep:j,right:[8594,h]}},8615:{dir:g,HW:[],stretch:{min:0.6,top:[8868,i,0,0,0.75],ext:[9168,f],bot:[8595,f]}},8624:{dir:g,HW:[[722,k]],stretch:{top:[8624,k],ext:[9168,f,0.097]}},8625:{dir:g,HW:[[722,k]],stretch:{top:[8625,k,0.27],ext:[9168,f]}},8636:{dir:l,HW:[[1000,h]],stretch:{left:[8636,h],rep:j}},8637:{dir:l,HW:[[1000,h]],stretch:{left:[8637,h],rep:j}},8638:{dir:g,HW:[[888,k]],stretch:{top:[8638,k,0.12,0,1.1],ext:[9168,f]}},8639:{dir:g,HW:[[888,k]],stretch:{top:[8639,k,0.12,0,1.1],ext:[9168,f]}},8640:{dir:l,HW:[[1000,h]],stretch:{right:[8640,h],rep:j}},8641:{dir:l,HW:[[1000,h]],stretch:{right:[8641,h],rep:j}},8642:{dir:g,HW:[[888,k]],stretch:{bot:[8642,k,0.12,0,1.1],ext:[9168,f]}},8643:{dir:g,HW:[[888,k]],stretch:{bot:[8643,k,0.12,0,1.1],ext:[9168,f]}},8666:{dir:l,HW:[[1000,k]],stretch:{left:[8666,k],rep:[8801,h]}},8667:{dir:l,HW:[[1000,k]],stretch:{right:[8667,k],rep:[8801,h]}},9140:{dir:l,HW:[],stretch:{min:0.5,left:[9484,k,0,-0.1],rep:[8722,h,0,0.325],right:[9488,k,0,-0.1]}},9141:{dir:l,HW:[],stretch:{min:0.5,left:[9492,k,0,0.26],rep:[8722,h,0,0,0,0.25],right:[9496,k,0,0.26]}},9180:{dir:l,HW:[[778,k,0,8994],[100,h,0,8994]],stretch:{left:[57680,b],rep:[57684,b],right:[57681,b]}},9181:{dir:l,HW:[[778,k,0,8995],[100,h,0,8995]],stretch:{left:[57682,b],rep:[57684,b],right:[57683,b]}},9184:{dir:l,HW:[],stretch:{min:1.25,left:[714,h,-0.1],rep:[713,h,-0.05,0.13],right:[715,h],fullExtenders:true}},9185:{dir:l,HW:[],stretch:{min:1.5,left:[715,h,-0.1,0.1],rep:[713,h,-0.1],right:[714,h,-0.1,0.1],fullExtenders:true}},10502:{dir:l,HW:[],stretch:{min:1,left:[8656,h],rep:d,right:[8739,f,0,-0.1]}},10503:{dir:l,HW:[],stretch:{min:0.7,left:[8872,k,0,-0.12],rep:d,right:[8658,h]}},10574:{dir:l,HW:[],stretch:{min:0.5,left:[8636,h],rep:j,right:[8640,h]}},10575:{dir:g,HW:[],stretch:{min:0.5,top:[8638,k,0.12,0,1.1],ext:[9168,f],bot:[8642,k,0.12,0,1.1]}},10576:{dir:l,HW:[],stretch:{min:0.5,left:[8637,h],rep:j,right:[8641,h]}},10577:{dir:g,HW:[],stretch:{min:0.5,top:[8639,k,0.12,0,1.1],ext:[9168,f],bot:[8643,k,0.12,0,1.1]}},10586:{dir:l,HW:[],stretch:{min:1,left:[8636,h],rep:j,right:[8739,f,0,-0.05,0.9]}},10587:{dir:l,HW:[],stretch:{min:1,left:[8739,f,-0.05,-0.05,0.9],rep:j,right:[8640,h]}},10588:{dir:g,HW:[],stretch:{min:0.7,bot:[8869,i,0,0,0.75],ext:[9168,f],top:[8638,k,0.12,0,1.1]}},10589:{dir:g,HW:[],stretch:{min:0.7,top:[8868,i,0,0,0.75],ext:[9168,f],bot:[8642,k,0.12,0,1.1]}},10590:{dir:l,HW:[],stretch:{min:1,left:[8637,h],rep:j,right:[8739,f,0,-0.05,0.9]}},10591:{dir:l,HW:[],stretch:{min:1,left:[8739,f,-0.05,-0.05,0.9],rep:j,right:[8641,h]}},10592:{dir:g,HW:[],stretch:{min:0.7,bot:[8869,i,0,0,0.75],ext:[9168,f],top:[8639,k,0.12,0,1.1]}},10593:{dir:g,HW:[],stretch:{min:0.7,top:[8868,i,0,0,0.75],ext:[9168,f],bot:[8643,k,0.12,0,1.1]}}};for(var c in e){if(e.hasOwnProperty(c)){m[c]=e[c]}}MathJax.Ajax.loadComplete(a.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
+(function(a){var n="2.7.9";var m=a.FONTDATA.DELIMITERS;var h="MathJax_Main",i="MathJax_Main-bold",k="MathJax_AMS",f="MathJax_Size1",b="MathJax_Size4";var l="H",g="V";var j=[8722,h,0,0,0,-0.31,-0.31];var d=[61,h,0,0,0,0,0.1];var e={61:{dir:l,HW:[[767,h]],stretch:{rep:[61,h]}},8606:{dir:l,HW:[[1000,k]],stretch:{left:[8606,k],rep:j}},8608:{dir:l,HW:[[1000,k]],stretch:{right:[8608,k],rep:j}},8612:{dir:l,HW:[],stretch:{min:1,left:[8592,h],rep:j,right:[8739,f,0,-0.05,0.9]}},8613:{dir:g,HW:[],stretch:{min:0.6,bot:[8869,i,0,0,0.75],ext:[9168,f],top:[8593,f]}},8614:{dir:l,HW:[[1000,h]],stretch:{left:[8739,f,-0.09,-0.05,0.9],rep:j,right:[8594,h]}},8615:{dir:g,HW:[],stretch:{min:0.6,top:[8868,i,0,0,0.75],ext:[9168,f],bot:[8595,f]}},8624:{dir:g,HW:[[722,k]],stretch:{top:[8624,k],ext:[9168,f,0.097]}},8625:{dir:g,HW:[[722,k]],stretch:{top:[8625,k,0.27],ext:[9168,f]}},8636:{dir:l,HW:[[1000,h]],stretch:{left:[8636,h],rep:j}},8637:{dir:l,HW:[[1000,h]],stretch:{left:[8637,h],rep:j}},8638:{dir:g,HW:[[888,k]],stretch:{top:[8638,k,0.12,0,1.1],ext:[9168,f]}},8639:{dir:g,HW:[[888,k]],stretch:{top:[8639,k,0.12,0,1.1],ext:[9168,f]}},8640:{dir:l,HW:[[1000,h]],stretch:{right:[8640,h],rep:j}},8641:{dir:l,HW:[[1000,h]],stretch:{right:[8641,h],rep:j}},8642:{dir:g,HW:[[888,k]],stretch:{bot:[8642,k,0.12,0,1.1],ext:[9168,f]}},8643:{dir:g,HW:[[888,k]],stretch:{bot:[8643,k,0.12,0,1.1],ext:[9168,f]}},8666:{dir:l,HW:[[1000,k]],stretch:{left:[8666,k],rep:[8801,h]}},8667:{dir:l,HW:[[1000,k]],stretch:{right:[8667,k],rep:[8801,h]}},9140:{dir:l,HW:[],stretch:{min:0.5,left:[9484,k,0,-0.1],rep:[8722,h,0,0.325],right:[9488,k,0,-0.1]}},9141:{dir:l,HW:[],stretch:{min:0.5,left:[9492,k,0,0.26],rep:[8722,h,0,0,0,0.25],right:[9496,k,0,0.26]}},9180:{dir:l,HW:[[778,k,0,8994],[100,h,0,8994]],stretch:{left:[57680,b],rep:[57684,b],right:[57681,b]}},9181:{dir:l,HW:[[778,k,0,8995],[100,h,0,8995]],stretch:{left:[57682,b],rep:[57684,b],right:[57683,b]}},9184:{dir:l,HW:[],stretch:{min:1.25,left:[714,h,-0.1],rep:[713,h,-0.05,0.13],right:[715,h],fullExtenders:true}},9185:{dir:l,HW:[],stretch:{min:1.5,left:[715,h,-0.1,0.1],rep:[713,h,-0.1],right:[714,h,-0.1,0.1],fullExtenders:true}},10502:{dir:l,HW:[],stretch:{min:1,left:[8656,h],rep:d,right:[8739,f,0,-0.1]}},10503:{dir:l,HW:[],stretch:{min:0.7,left:[8872,k,0,-0.12],rep:d,right:[8658,h]}},10574:{dir:l,HW:[],stretch:{min:0.5,left:[8636,h],rep:j,right:[8640,h]}},10575:{dir:g,HW:[],stretch:{min:0.5,top:[8638,k,0.12,0,1.1],ext:[9168,f],bot:[8642,k,0.12,0,1.1]}},10576:{dir:l,HW:[],stretch:{min:0.5,left:[8637,h],rep:j,right:[8641,h]}},10577:{dir:g,HW:[],stretch:{min:0.5,top:[8639,k,0.12,0,1.1],ext:[9168,f],bot:[8643,k,0.12,0,1.1]}},10586:{dir:l,HW:[],stretch:{min:1,left:[8636,h],rep:j,right:[8739,f,0,-0.05,0.9]}},10587:{dir:l,HW:[],stretch:{min:1,left:[8739,f,-0.05,-0.05,0.9],rep:j,right:[8640,h]}},10588:{dir:g,HW:[],stretch:{min:0.7,bot:[8869,i,0,0,0.75],ext:[9168,f],top:[8638,k,0.12,0,1.1]}},10589:{dir:g,HW:[],stretch:{min:0.7,top:[8868,i,0,0,0.75],ext:[9168,f],bot:[8642,k,0.12,0,1.1]}},10590:{dir:l,HW:[],stretch:{min:1,left:[8637,h],rep:j,right:[8739,f,0,-0.05,0.9]}},10591:{dir:l,HW:[],stretch:{min:1,left:[8739,f,-0.05,-0.05,0.9],rep:j,right:[8641,h]}},10592:{dir:g,HW:[],stretch:{min:0.7,bot:[8869,i,0,0,0.75],ext:[9168,f],top:[8639,k,0.12,0,1.1]}},10593:{dir:g,HW:[],stretch:{min:0.7,top:[8868,i,0,0,0.75],ext:[9168,f],bot:[8643,k,0.12,0,1.1]}}};for(var c in e){if(e.hasOwnProperty(c)){m[c]=e[c]}}MathJax.Ajax.loadComplete(a.fontDir+"/fontdata-extra.js")})(MathJax.OutputJax.SVG);
diff --git a/jax/output/SVG/fonts/TeX/fontdata.js b/jax/output/SVG/fonts/TeX/fontdata.js
index 4676c94290..1067f987ed 100644
--- a/jax/output/SVG/fonts/TeX/fontdata.js
+++ b/jax/output/SVG/fonts/TeX/fontdata.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/fonts/TeX/fontdata.js
+ *  /MathJax-v2/jax/output/SVG/fonts/TeX/fontdata.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(o,b,r,h){var q="2.7.6";var m="MathJax_Main",s="MathJax_Main-bold",p="MathJax_Math-italic",i="MathJax_AMS",g="MathJax_Size1",f="MathJax_Size2",e="MathJax_Size3",c="MathJax_Size4";var k="H",a="V",l={load:"extra",dir:k},d={load:"extra",dir:a};var t=[[1000,m],[1200,g],[1800,f],[2400,e],[3000,c]];var j=[8722,m,0,0,0,-0.31,-0.31];var n=[61,m,0,0,0,0,0.1];o.Augment({FONTDATA:{version:q,baselineskip:1200,lineH:800,lineD:200,FONTS:{MathJax_Main:"Main/Regular/Main.js","MathJax_Main-bold":"Main/Bold/Main.js","MathJax_Main-italic":"Main/Italic/Main.js","MathJax_Math-italic":"Math/Italic/Main.js","MathJax_Math-bold-italic":"Math/BoldItalic/Main.js",MathJax_Caligraphic:"Caligraphic/Regular/Main.js",MathJax_Size1:"Size1/Regular/Main.js",MathJax_Size2:"Size2/Regular/Main.js",MathJax_Size3:"Size3/Regular/Main.js",MathJax_Size4:"Size4/Regular/Main.js",MathJax_AMS:"AMS/Regular/Main.js",MathJax_Fraktur:"Fraktur/Regular/Main.js","MathJax_Fraktur-bold":"Fraktur/Bold/Main.js",MathJax_SansSerif:"SansSerif/Regular/Main.js","MathJax_SansSerif-bold":"SansSerif/Bold/Main.js","MathJax_SansSerif-italic":"SansSerif/Italic/Main.js",MathJax_Script:"Script/Regular/Main.js",MathJax_Typewriter:"Typewriter/Regular/Main.js","MathJax_Caligraphic-bold":"Caligraphic/Bold/Main.js"},VARIANT:{normal:{fonts:[m,g,i],offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,8214:8741,8726:[8726,"-TeX-variant"],8463:[8463,"-TeX-variant"],8242:[39,"sans-serif-italic"],10744:[47,b.VARIANT.ITALIC]}},bold:{fonts:[s,g,i],bold:true,offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],8214:8741,8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[p,"MathJax_Main-italic",m,g,i],italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-bold-italic",s,g,i],bold:true,italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[i,m]},fraktur:{fonts:["MathJax_Fraktur",m,g,i]},"bold-fraktur":{fonts:["MathJax_Fraktur-bold",s,g,i],bold:true},script:{fonts:["MathJax_Script",m,g,i]},"bold-script":{fonts:["MathJax_Script",s,g,i],bold:true},"sans-serif":{fonts:["MathJax_SansSerif",m,g,i]},"bold-sans-serif":{fonts:["MathJax_SansSerif-bold",s,g,i],bold:true},"sans-serif-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,i],italic:true},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,i],bold:true,italic:true},monospace:{fonts:["MathJax_Typewriter",m,g,i]},"-tex-caligraphic":{fonts:["MathJax_Caligraphic",m],offsetA:65,variantA:"italic"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic",m]},"-tex-mathit":{fonts:["MathJax_Main-italic",p,m,g,i],italic:true,noIC:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[i,m,g],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,b.VARIANT.NORMAL],8463:[8463,b.VARIANT.NORMAL]}},"-largeOp":{fonts:[f,g,m]},"-smallOp":{fonts:[g,m]},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true,offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],RULECHAR:8722,REMAP:{10:32,160:32,8254:713,8400:8636,8401:8640,8406:8592,8417:8596,8428:8641,8429:8637,8430:8592,8431:8594,8432:42,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,b.VARIANT.DOUBLESTRUCK],8459:[72,b.VARIANT.SCRIPT],8460:[72,b.VARIANT.FRAKTUR],8461:[72,b.VARIANT.DOUBLESTRUCK],8462:[104,b.VARIANT.ITALIC],8464:[74,b.VARIANT.SCRIPT],8465:[73,b.VARIANT.FRAKTUR],8466:[76,b.VARIANT.SCRIPT],8469:[78,b.VARIANT.DOUBLESTRUCK],8473:[80,b.VARIANT.DOUBLESTRUCK],8474:[81,b.VARIANT.DOUBLESTRUCK],8475:[82,b.VARIANT.SCRIPT],8476:[82,b.VARIANT.FRAKTUR],8477:[82,b.VARIANT.DOUBLESTRUCK],8484:[90,b.VARIANT.DOUBLESTRUCK],8486:[937,b.VARIANT.NORMAL],8488:[90,b.VARIANT.FRAKTUR],8492:[66,b.VARIANT.SCRIPT],8493:[67,b.VARIANT.FRAKTUR],8496:[69,b.VARIANT.SCRIPT],8497:[70,b.VARIANT.SCRIPT],8499:[77,b.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",8411:"...",8412:"...."},REMAPACCENT:{"\u2192":"\u20D7","\u2032":"'","\u2035":"`"},REMAPACCENTUNDER:{},PLANE1MAP:[[119808,119833,65,b.VARIANT.BOLD],[119834,119859,97,b.VARIANT.BOLD],[119860,119885,65,b.VARIANT.ITALIC],[119886,119911,97,b.VARIANT.ITALIC],[119912,119937,65,b.VARIANT.BOLDITALIC],[119938,119963,97,b.VARIANT.BOLDITALIC],[119964,119989,65,b.VARIANT.SCRIPT],[120068,120093,65,b.VARIANT.FRAKTUR],[120094,120119,97,b.VARIANT.FRAKTUR],[120120,120145,65,b.VARIANT.DOUBLESTRUCK],[120172,120197,65,b.VARIANT.BOLDFRAKTUR],[120198,120223,97,b.VARIANT.BOLDFRAKTUR],[120224,120249,65,b.VARIANT.SANSSERIF],[120250,120275,97,b.VARIANT.SANSSERIF],[120276,120301,65,b.VARIANT.BOLDSANSSERIF],[120302,120327,97,b.VARIANT.BOLDSANSSERIF],[120328,120353,65,b.VARIANT.SANSSERIFITALIC],[120354,120379,97,b.VARIANT.SANSSERIFITALIC],[120432,120457,65,b.VARIANT.MONOSPACE],[120458,120483,97,b.VARIANT.MONOSPACE],[120488,120513,913,b.VARIANT.BOLD],[120546,120570,913,b.VARIANT.ITALIC],[120572,120603,945,b.VARIANT.ITALIC],[120604,120628,913,b.VARIANT.BOLDITALIC],[120630,120661,945,b.VARIANT.BOLDITALIC],[120662,120686,913,b.VARIANT.BOLDSANSSERIF],[120720,120744,913,b.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,b.VARIANT.BOLD],[120802,120811,48,b.VARIANT.SANSSERIF],[120812,120821,48,b.VARIANT.BOLDSANSSERIF],[120822,120831,48,b.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(x,w){for(var v=0,u=this.PLANE1MAP.length;v<u;v++){if(x<this.PLANE1MAP[v][0]){break}if(x<=this.PLANE1MAP[v][1]){x=x-this.PLANE1MAP[v][0]+this.PLANE1MAP[v][2];if(this.REMAPGREEK[x]){x=this.REMAPGREEK[x]}w=this.VARIANT[this.PLANE1MAP[v][3]];break}}return{n:x,variant:w}},DELIMITERS:{40:{dir:a,HW:t,stretch:{top:[9115,c],ext:[9116,c],bot:[9117,c]}},41:{dir:a,HW:t,stretch:{top:[9118,c],ext:[9119,c],bot:[9120,c]}},47:{dir:a,HW:t},91:{dir:a,HW:t,stretch:{top:[9121,c],ext:[9122,c],bot:[9123,c]}},92:{dir:a,HW:t},93:{dir:a,HW:t,stretch:{top:[9124,c],ext:[9125,c],bot:[9126,c]}},123:{dir:a,HW:t,stretch:{top:[9127,c],mid:[9128,c],bot:[9129,c],ext:[9130,c]}},124:{dir:a,HW:[[1000,m]],stretch:{ext:[8739,m]}},125:{dir:a,HW:t,stretch:{top:[9131,c],mid:[9132,c],bot:[9133,c],ext:[9130,c]}},175:{dir:k,HW:[[0.59,m]],stretch:{rep:[175,m]}},710:{dir:k,HW:[[267+250,m],[567+250,g],[1005+330,f],[1447+330,e],[1909,c]]},732:{dir:k,HW:[[333+250,m],[555+250,g],[1000+330,f],[1443+330,e],[1887,c]]},8211:{dir:k,HW:[[500,m]],stretch:{rep:[8211,m]}},8214:{dir:a,HW:[[602,g],[1000,m,null,8741]],stretch:{ext:[8741,m]}},8592:{dir:k,HW:[[1000,m]],stretch:{left:[8592,m],rep:j,fuzz:300}},8593:{dir:a,HW:[[888,m]],stretch:{top:[8593,g],ext:[9168,g]}},8594:{dir:k,HW:[[1000,m]],stretch:{rep:j,right:[8594,m],fuzz:300}},8595:{dir:a,HW:[[888,m]],stretch:{ext:[9168,g],bot:[8595,g]}},8596:{dir:k,HW:[[1000,m]],stretch:{left:[8592,m],rep:j,right:[8594,m],fuzz:300}},8597:{dir:a,HW:[[1044,m]],stretch:{top:[8593,g],ext:[9168,g],bot:[8595,g]}},8656:{dir:k,HW:[[1000,m]],stretch:{left:[8656,m],rep:n,fuzz:300}},8657:{dir:a,HW:[[888,m]],stretch:{top:[8657,g],ext:[8214,g]}},8658:{dir:k,HW:[[1000,m]],stretch:{rep:n,right:[8658,m],fuzz:300}},8659:{dir:a,HW:[[888,m]],stretch:{ext:[8214,g],bot:[8659,g]}},8660:{dir:k,HW:[[1000,m]],stretch:{left:[8656,m],rep:n,right:[8658,m],fuzz:300}},8661:{dir:a,HW:[[1044,m]],stretch:{top:[8657,g],ext:[8214,g],bot:[8659,g]}},8722:{dir:k,HW:[[0.5,m,0,8211]],stretch:{rep:j,fuzz:300}},8730:{dir:a,HW:t,stretch:{top:[57345,c],ext:[57344,c],bot:[9143,c],fullExtenders:true}},8739:{dir:a,HW:[[1000,m]],stretch:{ext:[8739,m]}},8741:{dir:a,HW:[[1000,m]],stretch:{ext:[8741,m]}},8968:{dir:a,HW:t,stretch:{top:[9121,c],ext:[9122,c]}},8969:{dir:a,HW:t,stretch:{top:[9124,c],ext:[9125,c]}},8970:{dir:a,HW:t,stretch:{ext:[9122,c],bot:[9123,c]}},8971:{dir:a,HW:t,stretch:{ext:[9125,c],bot:[9126,c]}},9130:{dir:a,HW:[[320,c]],stretch:{top:[9130,c],ext:[9130,c],bot:[9130,c]}},9136:{dir:a,HW:[[989,m]],stretch:{top:[9127,c],ext:[9130,c],bot:[9133,c]}},9137:{dir:a,HW:[[989,m]],stretch:{top:[9131,c],ext:[9130,c],bot:[9129,c]}},9168:{dir:a,HW:[[602,g],[1000,m,null,8739]],stretch:{ext:[8739,m]}},9182:{dir:k,HW:[],stretch:{min:0.9,left:[57680,c],mid:[[57683,57682],c],right:[57681,c],rep:[57684,c]}},9183:{dir:k,HW:[],stretch:{min:0.9,left:[57682,c],mid:[[57681,57680],c],right:[57683,c],rep:[57684,c]}},10216:{dir:a,HW:t},10217:{dir:a,HW:t},10222:{dir:a,HW:[[989,m]],stretch:{top:[9127,c],ext:[9130,c],bot:[9129,c]}},10223:{dir:a,HW:[[989,m]],stretch:{top:[9131,c],ext:[9130,c],bot:[9133,c]}},45:{alias:8722,dir:k},94:{alias:710,dir:k},95:{alias:8211,dir:k},126:{alias:732,dir:k},713:{alias:175,dir:k},770:{alias:710,dir:k},771:{alias:732,dir:k},780:{alias:711,dir:k},818:{alias:8211,dir:k},8212:{alias:8211,dir:k},8213:{alias:8211,dir:k},8215:{alias:8211,dir:k},8254:{alias:175,dir:k},8407:{alias:8594,dir:k},8725:{alias:47,dir:a},9001:{alias:10216,dir:a},9002:{alias:10217,dir:a},9135:{alias:8211,dir:k},9472:{alias:8211,dir:k},10072:{alias:8739,dir:a},12296:{alias:10216,dir:a},12297:{alias:10217,dir:a},65079:{alias:9182,dir:k},65080:{alias:9183,dir:k},61:l,8606:l,8608:l,8612:l,8613:d,8614:l,8615:d,8624:d,8625:d,8636:l,8637:l,8638:d,8639:d,8640:l,8641:l,8642:d,8643:d,8666:l,8667:l,9140:l,9141:l,9180:l,9181:l,9184:l,9185:l,10502:l,10503:l,10574:l,10575:d,10576:l,10577:d,10586:l,10587:l,10588:d,10589:d,10590:l,10591:l,10592:d,10593:d,8978:{alias:9180,dir:k},8994:{alias:9180,dir:k},8995:{alias:9181,dir:k},10229:{alias:8592,dir:k},10230:{alias:8594,dir:k},10231:{alias:8596,dir:k},10232:{alias:8656,dir:k},10233:{alias:8658,dir:k},10234:{alias:8660,dir:k},10235:{alias:8612,dir:k},10236:{alias:8614,dir:k},10237:{alias:10502,dir:k},10238:{alias:10503,dir:k}}}});o.FONTDATA.FONTS.MathJax_Main={directory:"Main/Regular",family:"MathJax_Main",id:"MJMAIN",skew:{305:0.0278,567:0.0833,8467:0.111,8472:0.111,8706:0.0833},Ranges:[[32,127,"BasicLatin"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[8448,8527,"LetterlikeSymbols"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10752,11007,"SuppMathOperators"]],32:[0,0,250,0,0,""],40:[750,250,389,94,333,"94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250"],41:[750,250,389,55,294,"60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749"],43:[583,82,778,56,722,"56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250"],44:[121,195,278,78,210,"78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17"],46:[120,0,278,78,199,"78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60"],47:[750,250,500,56,444,"423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750"],48:[666,22,500,39,460,"96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597"],49:[666,0,500,83,427,"213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578"],50:[666,0,500,50,449,"109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429"],51:[665,22,500,42,457,"127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463"],52:[677,0,500,28,471,"462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293"],53:[666,22,500,50,449,"164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157"],54:[666,22,500,41,456,"42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397"],55:[676,22,500,55,485,"55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458"],56:[666,22,500,43,457,"70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21"],57:[666,22,500,42,456,"352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248"],58:[430,0,278,78,199,"78 370Q78 394 95 412T138 430Q162 430 180 414T199 371Q199 346 182 328T139 310T96 327T78 370ZM78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60"],59:[430,194,278,78,202,"78 370Q78 394 95 412T138 430Q162 430 180 414T199 371Q199 346 182 328T139 310T96 327T78 370ZM78 60Q78 85 94 103T137 121Q202 121 202 8Q202 -44 183 -94T144 -169T118 -194Q115 -194 106 -186T95 -174Q94 -171 107 -155T137 -107T160 -38Q161 -32 162 -22T165 -4T165 4Q165 5 161 4T142 0Q110 0 94 18T78 60"],60:[540,40,778,83,695,"694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19"],61:[367,-133,778,56,722,"56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153"],62:[540,40,778,82,694,"84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520"],91:[750,250,278,118,255,"118 -250V750H255V710H158V-210H255V-250H118"],92:[750,250,500,56,444,"56 731Q56 740 62 745T75 750Q85 750 92 740Q96 733 270 255T444 -231Q444 -239 438 -244T424 -250Q414 -250 407 -240Q404 -236 230 242T56 731"],93:[750,250,278,22,159,"22 710V750H159V-250H22V-210H119V710H22"],94:[694,-531,500,112,387,"112 560L249 694L257 686Q387 562 387 560L361 531Q359 532 303 581L250 627L195 580Q182 569 169 557T148 538L140 532Q138 530 125 546L112 560"],97:[448,11,500,34,493,"137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106"],98:[695,11,556,20,522,"307 -11Q234 -11 168 55L158 37Q156 34 153 28T147 17T143 10L138 1L118 0H98V298Q98 599 97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V543Q179 391 180 391L183 394Q186 397 192 401T207 411T228 421T254 431T286 439T323 442Q401 442 461 379T522 216Q522 115 458 52T307 -11ZM182 98Q182 97 187 90T196 79T206 67T218 55T233 44T250 35T271 29T295 26Q330 26 363 46T412 113Q424 148 424 212Q424 287 412 323Q385 405 300 405Q270 405 239 390T188 347L182 339V98"],99:[448,12,444,34,415,"370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320"],100:[695,11,556,34,535,"376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342"],101:[448,11,444,28,415,"28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275"],102:[705,0,306,26,372,"273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273"],103:[453,206,500,29,485,"329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75"],104:[695,0,556,25,542,"41 46H55Q94 46 102 60V68Q102 77 102 91T102 124T102 167T103 217T103 272T103 329Q103 366 103 407T103 482T102 542T102 586T102 603Q99 622 88 628T43 637H25V660Q25 683 27 683L37 684Q47 685 66 686T103 688Q120 689 140 690T170 693T181 694H184V367Q244 442 328 442Q451 442 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41"],105:[669,0,278,26,255,"69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247"],106:[669,205,306,-55,218,"98 609Q98 637 116 653T160 669Q183 667 200 652T217 609Q217 579 200 564T158 549Q133 549 116 564T98 609ZM28 -163Q58 -168 64 -168Q124 -168 135 -77Q137 -65 137 141T136 353Q132 371 120 377T72 385H52V408Q52 431 54 431L58 432Q62 432 70 432T87 433T108 434T133 436Q151 437 171 438T202 441T214 442H218V184Q217 -36 217 -59T211 -98Q195 -145 153 -175T58 -205Q9 -205 -23 -179T-55 -117Q-55 -94 -40 -79T-2 -64T36 -79T52 -118Q52 -143 28 -163"],107:[695,0,528,20,511,"36 46H50Q89 46 97 60V68Q97 77 97 91T97 124T98 167T98 217T98 272T98 329Q98 366 98 407T98 482T98 542T97 586T97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V463L180 233L240 287Q300 341 304 347Q310 356 310 364Q310 383 289 385H284V431H293Q308 428 412 428Q475 428 484 431H489V385H476Q407 380 360 341Q286 278 286 274Q286 273 349 181T420 79Q434 60 451 53T500 46H511V0H505Q496 3 418 3Q322 3 307 0H299V46H306Q330 48 330 65Q330 72 326 79Q323 84 276 153T228 222L176 176V120V84Q176 65 178 59T189 49Q210 46 238 46H254V0H246Q231 3 137 3T28 0H20V46H36"],108:[695,0,278,26,263,"42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42"],109:[443,0,833,25,819,"41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41"],110:[443,0,556,25,542,"41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41"],111:[448,10,500,28,471,"28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30"],112:[443,194,556,20,522,"36 -148H50Q89 -148 97 -134V-126Q97 -119 97 -107T97 -77T98 -38T98 6T98 55T98 106Q98 140 98 177T98 243T98 296T97 335T97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 61 434T98 436Q115 437 135 438T165 441T176 442H179V416L180 390L188 397Q247 441 326 441Q407 441 464 377T522 216Q522 115 457 52T310 -11Q242 -11 190 33L182 40V-45V-101Q182 -128 184 -134T195 -145Q216 -148 244 -148H260V-194H252L228 -193Q205 -192 178 -192T140 -191Q37 -191 28 -194H20V-148H36ZM424 218Q424 292 390 347T305 402Q234 402 182 337V98Q222 26 294 26Q345 26 384 80T424 218"],113:[442,194,528,33,535,"33 218Q33 308 95 374T236 441H246Q330 441 381 372L387 364Q388 364 404 403L420 442H457V156Q457 -132 458 -134Q462 -142 470 -145Q491 -148 519 -148H535V-194H527L504 -193Q480 -192 453 -192T415 -191Q312 -191 303 -194H295V-148H311Q339 -148 360 -145Q369 -141 371 -135T373 -106V-41V49Q313 -11 236 -11Q154 -11 94 53T33 218ZM376 300Q346 389 278 401Q275 401 269 401T261 402Q211 400 171 350T131 214Q131 137 165 82T253 27Q296 27 328 54T376 118V300"],114:[443,0,392,20,364,"36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36"],115:[448,11,394,33,359,"295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316"],116:[615,10,389,18,333,"27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27"],117:[443,11,556,25,542,"383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58"],118:[431,11,528,19,508,"338 431Q344 429 422 429Q479 429 503 431H508V385H497Q439 381 423 345Q421 341 356 172T288 -2Q283 -11 263 -11Q244 -11 239 -2Q99 359 98 364Q93 378 82 381T43 385H19V431H25L33 430Q41 430 53 430T79 430T104 429T122 428Q217 428 232 431H240V385H226Q187 384 184 370Q184 366 235 234L286 102L377 341V349Q377 363 367 372T349 383T335 385H331V431H338"],119:[431,11,722,18,703,"90 368Q84 378 76 380T40 385H18V431H24L43 430Q62 430 84 429T116 428Q206 428 221 431H229V385H215Q177 383 177 368Q177 367 221 239L265 113L339 328L333 345Q323 374 316 379Q308 384 278 385H258V431H264Q270 428 348 428Q439 428 454 431H461V385H452Q404 385 404 369Q404 366 418 324T449 234T481 143L496 100L537 219Q579 341 579 347Q579 363 564 373T530 385H522V431H529Q541 428 624 428Q692 428 698 431H703V385H697Q696 385 691 385T682 384Q635 377 619 334L559 161Q546 124 528 71Q508 12 503 1T487 -11H479Q460 -11 456 -4Q455 -3 407 133L361 267Q359 263 266 -4Q261 -11 243 -11H238Q225 -11 220 -3L90 368"],120:[431,0,528,11,516,"201 0Q189 3 102 3Q26 3 17 0H11V46H25Q48 47 67 52T96 61T121 78T139 96T160 122T180 150L226 210L168 288Q159 301 149 315T133 336T122 351T113 363T107 370T100 376T94 379T88 381T80 383Q74 383 44 385H16V431H23Q59 429 126 429Q219 429 229 431H237V385Q201 381 201 369Q201 367 211 353T239 315T268 274L272 270L297 304Q329 345 329 358Q329 364 327 369T322 376T317 380T310 384L307 385H302V431H309Q324 428 408 428Q487 428 493 431H499V385H492Q443 385 411 368Q394 360 377 341T312 257L296 236L358 151Q424 61 429 57T446 50Q464 46 499 46H516V0H510H502Q494 1 482 1T457 2T432 2T414 3Q403 3 377 3T327 1L304 0H295V46H298Q309 46 320 51T331 63Q331 65 291 120L250 175Q249 174 219 133T185 88Q181 83 181 74Q181 63 188 55T206 46Q208 46 208 23V0H201"],121:[431,204,528,19,508,"69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66"],122:[431,0,444,28,401,"42 263Q44 270 48 345T53 423V431H393Q399 425 399 415Q399 403 398 402L381 378Q364 355 331 309T265 220L134 41L182 40H206Q254 40 283 46T331 77Q352 105 359 185L361 201Q361 202 381 202H401V196Q401 195 393 103T384 6V0H209L34 1L31 3Q28 8 28 17Q28 30 29 31T160 210T294 394H236Q169 393 152 388Q127 382 113 367Q89 344 82 264V255H42V263"],123:[750,250,500,65,434,"434 -231Q434 -244 428 -250H410Q281 -250 230 -184Q225 -177 222 -172T217 -161T213 -148T211 -133T210 -111T209 -84T209 -47T209 0Q209 21 209 53Q208 142 204 153Q203 154 203 155Q189 191 153 211T82 231Q71 231 68 234T65 250T68 266T82 269Q116 269 152 289T203 345Q208 356 208 377T209 529V579Q209 634 215 656T244 698Q270 724 324 740Q361 748 377 749Q379 749 390 749T408 750H428Q434 744 434 732Q434 719 431 716Q429 713 415 713Q362 710 332 689T296 647Q291 634 291 499V417Q291 370 288 353T271 314Q240 271 184 255L170 250L184 245Q202 239 220 230T262 196T290 137Q291 131 291 1Q291 -134 296 -147Q306 -174 339 -192T415 -213Q429 -213 431 -216Q434 -219 434 -231"],124:[750,249,278,119,159,"139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139"],125:[750,250,500,65,434,"65 731Q65 745 68 747T88 750Q171 750 216 725T279 670Q288 649 289 635T291 501Q292 362 293 357Q306 312 345 291T417 269Q428 269 431 266T434 250T431 234T417 231Q380 231 345 210T298 157Q293 143 292 121T291 -28V-79Q291 -134 285 -156T256 -198Q202 -250 89 -250Q71 -250 68 -247T65 -230Q65 -224 65 -223T66 -218T69 -214T77 -213Q91 -213 108 -210T146 -200T183 -177T207 -139Q208 -134 209 3L210 139Q223 196 280 230Q315 247 330 250Q305 257 280 270Q225 304 212 352L210 362L209 498Q208 635 207 640Q195 680 154 696T77 713Q68 713 67 716T65 731"],168:[669,-554,500,95,405,"95 612Q95 633 112 651T153 669T193 652T210 612Q210 588 194 571T152 554L127 560Q95 577 95 612ZM289 611Q289 634 304 649T335 668Q336 668 340 668T346 669Q369 669 386 652T404 612T387 572T346 554Q323 554 306 570T289 611"],172:[356,-89,667,56,611,"56 323T56 336T70 356H596Q603 353 611 343V102Q598 89 591 89Q587 89 584 90T579 94T575 98T572 102L571 209V316H70Q56 323 56 336"],175:[590,-544,500,69,430,"69 544V590H430V544H69"],176:[715,-542,500,147,352,"147 628Q147 669 179 692T244 715Q298 715 325 689T352 629Q352 592 323 567T249 542Q202 542 175 567T147 628ZM313 628Q313 660 300 669T259 678H253Q248 678 242 678T234 679Q217 679 207 674T192 659T188 644T187 629Q187 600 198 590Q210 579 250 579H265Q279 579 288 581T305 595T313 628"],177:[666,0,778,56,722,"56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333"],180:[699,-505,500,203,393,"349 699Q367 699 380 686T393 656Q393 651 392 647T387 637T380 627T367 616T351 602T330 585T303 563L232 505L217 519Q203 533 204 533Q204 534 229 567T282 636T313 678L316 681Q318 684 321 686T328 692T337 697T349 699"],215:[491,-9,778,147,630,"630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29"],247:[537,36,778,56,721,"318 466Q318 500 339 518T386 537Q418 537 438 517T458 466Q458 438 440 417T388 396Q355 396 337 417T318 466ZM56 237T56 250T70 270H706Q721 262 721 250T706 230H70Q56 237 56 250ZM318 34Q318 68 339 86T386 105Q418 105 438 85T458 34Q458 6 440 -15T388 -36Q355 -36 337 -15T318 34"],710:[694,-531,500,112,387,"112 560L249 694L257 686Q387 562 387 560L361 531Q359 532 303 581L250 627L195 580Q182 569 169 557T148 538L140 532Q138 530 125 546L112 560"],711:[644,-513,500,114,385,"114 611L127 630L136 644Q138 644 193 612Q248 581 250 581L306 612Q361 644 363 644L385 611L318 562L249 513L114 611"],713:[590,-544,500,69,430,"69 544V590H430V544H69"],714:[699,-505,500,203,393,"349 699Q367 699 380 686T393 656Q393 651 392 647T387 637T380 627T367 616T351 602T330 585T303 563L232 505L217 519Q203 533 204 533Q204 534 229 567T282 636T313 678L316 681Q318 684 321 686T328 692T337 697T349 699"],715:[699,-505,500,106,296,"106 655Q106 671 119 685T150 699Q166 699 177 688Q190 671 222 629T275 561T295 533T282 519L267 505L196 563Q119 626 113 634Q106 643 106 655"],728:[694,-515,500,92,407,"250 515Q179 515 138 565T92 683V694H129V689Q129 688 129 683T130 675Q137 631 169 599T248 567Q304 567 337 608T370 689V694H407V683Q403 617 361 566T250 515"],729:[669,-549,500,190,309,"190 609Q190 637 208 653T252 669Q275 667 292 652T309 609Q309 579 292 564T250 549Q225 549 208 564T190 609"],732:[668,-565,500,83,416,"179 601Q164 601 151 595T131 584T111 565L97 577L83 588Q83 589 95 603T121 633T142 654Q165 668 187 668T253 650T320 632Q335 632 348 638T368 649T388 668L402 656L416 645Q375 586 344 572Q330 565 313 565Q292 565 248 583T179 601"],8211:[285,-248,500,0,499,"0 248V285H499V248H0"],8212:[285,-248,1000,0,999,"0 248V285H999V248H0"],8216:[694,-379,278,64,199,"64 494Q64 548 86 597T131 670T160 694Q163 694 172 685T182 672Q182 669 170 656T144 625T116 573T101 501Q101 489 102 489T107 491T120 497T138 500Q163 500 180 483T198 440T181 397T139 379Q110 379 87 405T64 494"],8217:[694,-379,278,78,212,"78 634Q78 659 95 676T138 694Q166 694 189 668T212 579Q212 525 190 476T146 403T118 379Q114 379 105 388T95 401Q95 404 107 417T133 448T161 500T176 572Q176 584 175 584T170 581T157 576T139 573Q114 573 96 590T78 634"],8220:[694,-379,500,128,466,"128 494Q128 528 137 560T158 616T185 658T209 685T223 694T236 685T245 670Q244 668 231 654T204 622T178 571T164 501Q164 489 165 489T170 491T183 497T201 500Q226 500 244 483T262 440T245 397T202 379Q173 379 151 405T128 494ZM332 494Q332 528 341 560T362 616T389 658T413 685T427 694T439 685T449 672Q449 669 437 656T411 625T383 573T368 501Q368 489 369 489T374 491T387 497T405 500Q430 500 448 483T466 440T449 397T406 379Q377 379 355 405T332 494"],8221:[694,-379,500,34,372,"34 634Q34 659 50 676T93 694Q121 694 144 668T168 579Q168 525 146 476T101 403T73 379Q69 379 60 388T50 401Q50 404 62 417T88 448T116 500T131 572Q131 584 130 584T125 581T112 576T94 573Q69 573 52 590T34 634ZM238 634Q238 659 254 676T297 694Q325 694 348 668T372 579Q372 525 350 476T305 403T277 379Q273 379 264 388T254 401Q254 404 266 417T292 448T320 500T335 572Q335 584 334 584T329 581T316 576T298 573Q273 573 256 590T238 634"],8224:[705,216,444,54,389,"182 675Q195 705 222 705Q234 705 243 700T253 691T263 675L262 655Q262 620 252 549T240 454V449Q250 451 288 461T346 472T377 461T389 431Q389 417 379 404T346 390Q327 390 288 401T243 412H240V405Q245 367 250 339T258 301T261 274T263 225Q263 124 255 -41T239 -213Q236 -216 222 -216H217Q206 -216 204 -212T200 -186Q199 -175 199 -168Q181 38 181 225Q181 265 182 280T191 327T204 405V412H201Q196 412 157 401T98 390Q76 390 66 403T55 431T65 458T98 472Q116 472 155 462T205 449Q204 452 204 460T201 490T193 547Q182 619 182 655V675"],8225:[705,205,444,54,389,"181 658Q181 705 222 705T263 658Q263 633 252 572T240 497Q240 496 241 496Q243 496 285 507T345 519Q365 519 376 508T388 478Q388 466 384 458T375 447T361 438H344Q318 438 282 448T241 459Q240 458 240 456Q240 449 251 384T263 297Q263 278 255 267T238 253T222 250T206 252T190 266T181 297Q181 323 192 383T204 458Q204 459 203 459Q198 459 162 449T101 438H84Q74 443 70 446T61 457T56 478Q56 497 67 508T99 519Q117 519 159 508T203 496Q204 496 204 499Q204 507 193 572T181 658ZM181 202Q181 249 222 249T263 202Q263 185 259 161T249 103T240 48V41H243Q248 41 287 52T346 63T377 52T389 22Q389 8 379 -5T346 -19Q327 -19 288 -8T243 3H240V-4Q243 -24 249 -58T259 -117T263 -158Q263 -177 255 -188T238 -202T222 -205T206 -203T190 -189T181 -158Q181 -141 185 -117T195 -59T204 -4V3H201Q196 3 157 -8T98 -19Q76 -19 66 -6T55 22T65 49T98 63Q117 63 156 52T201 41H204V48Q201 68 195 102T185 161T181 202"],8230:[120,0,1172,78,1093,"78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60"],8242:[560,-43,275,30,262,"79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43"],8407:[714,-516,0,-471,-29,"-123 694Q-123 702 -118 708T-103 714Q-93 714 -88 706T-80 687T-67 660T-40 633Q-29 626 -29 615Q-29 606 -36 600T-53 590T-83 571T-121 531Q-135 516 -143 516T-157 522T-163 536T-152 559T-129 584T-116 595H-287L-458 596Q-459 597 -461 599T-466 602T-469 607T-471 615Q-471 622 -458 635H-99Q-123 673 -123 694"],8592:[511,11,1000,55,944,"944 261T944 250T929 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270H929Q944 261 944 250"],8593:[694,193,500,17,483,"27 414Q17 414 17 433Q17 437 17 439T17 444T19 447T20 450T22 452T26 453T30 454T36 456Q80 467 120 494T180 549Q227 607 238 678Q240 694 251 694Q259 694 261 684Q261 677 265 659T284 608T320 549Q340 525 363 507T405 479T440 463T467 455T479 451Q483 447 483 433Q483 413 472 413Q467 413 458 416Q342 448 277 545L270 555V-179Q262 -193 252 -193H250H248Q236 -193 230 -179V555L223 545Q192 499 146 467T70 424T27 414"],8594:[511,11,1000,56,944,"56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250"],8595:[694,194,500,17,483,"473 86Q483 86 483 67Q483 63 483 61T483 56T481 53T480 50T478 48T474 47T470 46T464 44Q428 35 391 14T316 -55T264 -168Q264 -170 263 -173T262 -180T261 -184Q259 -194 251 -194Q242 -194 238 -176T221 -121T180 -49Q169 -34 155 -21T125 2T95 20T67 33T44 42T27 47L21 49Q17 53 17 67Q17 87 28 87Q33 87 42 84Q158 52 223 -45L230 -55V312Q230 391 230 482T229 591Q229 662 231 676T243 693Q244 694 251 694Q264 692 270 679V-55L277 -45Q307 1 353 33T430 76T473 86"],8596:[511,11,1000,55,944,"263 479Q267 501 271 506T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270H835Q729 349 696 475Q691 493 691 500Q691 511 711 511Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q144 292 194 349T263 479"],8597:[772,272,500,17,483,"27 492Q17 492 17 511Q17 515 17 517T17 522T19 525T20 528T22 530T26 531T30 532T36 534Q80 545 120 572T180 627Q210 664 223 701T238 755T250 772T261 762Q261 757 264 741T282 691T319 628Q352 589 390 566T454 536L479 529Q483 525 483 511Q483 491 472 491Q467 491 458 494Q342 526 277 623L270 633V-133L277 -123Q307 -77 353 -45T430 -2T473 8Q483 8 483 -11Q483 -15 483 -17T483 -22T481 -25T480 -28T478 -30T474 -31T470 -32T464 -34Q407 -49 364 -84T300 -157T270 -223T261 -262Q259 -272 250 -272Q242 -272 239 -255T223 -201T180 -127Q169 -112 155 -99T125 -76T95 -58T67 -45T44 -36T27 -31L21 -29Q17 -25 17 -11Q17 9 28 9Q33 9 42 6Q158 -26 223 -123L230 -133V633L223 623Q192 577 146 545T70 502T27 492"],8598:[720,195,1000,29,944,"204 662Q257 662 301 676T369 705T394 720Q398 720 407 711T417 697Q417 688 389 671T310 639T212 623Q176 623 153 628Q151 628 221 557T546 232Q942 -164 943 -168Q944 -170 944 -174Q944 -182 938 -188T924 -195Q922 -195 916 -193Q912 -191 517 204Q440 281 326 394T166 553L121 598Q126 589 126 541Q126 438 70 349Q59 332 52 332Q48 332 39 341T29 355Q29 358 38 372T57 407T77 464T86 545Q86 583 78 614T63 663T55 683Q55 693 65 693Q73 693 82 688Q136 662 204 662"],8599:[720,195,1000,55,971,"582 697Q582 701 591 710T605 720Q607 720 630 706T697 677T795 662Q830 662 863 670T914 686T934 694Q942 694 944 685Q944 680 936 663T921 615T913 545Q913 490 927 446T956 379T970 355Q970 351 961 342T947 332Q940 332 929 349Q874 436 874 541Q874 590 878 598L832 553Q787 508 673 395T482 204Q87 -191 83 -193Q77 -195 75 -195Q67 -195 61 -189T55 -174Q55 -170 56 -168Q58 -164 453 232Q707 487 777 557T847 628Q824 623 787 623Q689 623 599 679Q582 690 582 697"],8600:[695,220,1000,55,970,"55 675Q55 683 60 689T75 695Q77 695 83 693Q87 691 482 296Q532 246 605 174T717 62T799 -20T859 -80T878 -97Q874 -93 874 -41Q874 64 929 151Q940 168 947 168Q951 168 960 159T970 145Q970 143 956 121T928 54T913 -45Q913 -83 920 -114T936 -163T944 -185Q942 -194 934 -194Q932 -194 914 -186T864 -170T795 -162Q743 -162 698 -176T630 -205T605 -220Q601 -220 592 -211T582 -197Q582 -187 611 -170T691 -138T787 -123Q824 -123 847 -128Q848 -128 778 -57T453 268Q58 664 56 668Q55 670 55 675"],8601:[695,220,1000,29,944,"126 -41Q126 -92 121 -97Q121 -98 139 -80T200 -20T281 61T394 173T517 296Q909 690 916 693Q922 695 924 695Q932 695 938 689T944 674Q944 670 943 668Q942 664 546 268Q292 13 222 -57T153 -128Q176 -123 212 -123Q310 -123 400 -179Q417 -190 417 -197Q417 -201 408 -210T394 -220Q392 -220 369 -206T302 -177T204 -162Q131 -162 67 -194Q63 -195 59 -192T55 -183Q55 -180 62 -163T78 -115T86 -45Q86 10 72 54T44 120T29 145Q29 149 38 158T52 168Q59 168 70 151Q126 62 126 -41"],8614:[511,11,1000,54,944,"95 155V109Q95 83 92 73T75 63Q61 63 58 74T54 130Q54 140 54 180T55 250Q55 421 57 425Q61 437 75 437Q88 437 91 428T95 393V345V270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H95V155"],8617:[511,11,1126,55,1070,"903 424T903 444T929 464Q976 464 1023 434T1070 347Q1070 316 1055 292T1016 256T971 237T929 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270H926Q929 270 941 271T960 275T978 280T998 290T1015 307Q1030 325 1030 347Q1030 355 1027 364T1014 387T983 411T929 424H928Q903 424 903 444"],8618:[511,11,1126,55,1070,"55 347Q55 380 72 404T113 441T159 458T197 464Q222 464 222 444Q222 429 204 426T157 417T110 387Q95 369 95 347Q95 339 98 330T111 307T142 283T196 270H961Q845 357 818 493Q818 494 818 496T817 499Q817 511 834 511H837Q846 511 849 510T855 506T858 497T861 481T869 456Q891 389 942 336T1061 261Q1070 258 1070 250Q1070 244 1065 241T1041 231T1003 212Q962 186 932 152T887 85T866 35T858 4Q856 -6 853 -8T837 -11Q817 -11 817 0Q817 7 822 25Q854 151 961 230H196Q149 230 102 260T55 347"],8636:[511,-230,1000,55,944,"62 230Q56 236 55 244Q55 252 57 255T69 265Q114 292 151 326T208 391T243 448T265 491T273 509Q276 511 288 511Q304 511 306 505Q309 501 303 484Q293 456 279 430T251 383T223 344T196 313T173 291T156 276L148 270H929Q944 261 944 250T929 230H62"],8637:[270,11,1000,55,944,"55 256Q56 264 62 270H929Q944 261 944 250T929 230H148Q149 229 165 215T196 185T231 145T270 87T303 16Q309 -1 306 -5Q304 -11 288 -11Q279 -11 276 -10T269 -4T264 10T253 36T231 75Q172 173 69 235Q59 242 57 245T55 256"],8640:[511,-230,1000,56,945,"691 500Q691 511 711 511Q720 511 723 510T730 504T735 490T746 464T768 425Q796 378 835 339T897 285T933 263Q941 258 942 256T944 245T937 230H70Q56 237 56 250T70 270H852Q802 308 762 364T707 455T691 500"],8641:[270,11,1000,56,944,"56 237T56 250T70 270H937Q944 263 944 256Q944 251 944 250T943 246T940 242T933 238Q794 153 734 7Q729 -7 726 -9T711 -11Q695 -11 693 -5Q690 -1 696 16Q721 84 763 139T852 230H70Q56 237 56 250"],8652:[671,11,1000,55,945,"691 660Q691 671 711 671Q720 671 723 670T730 664T735 650T746 624T768 585Q797 538 836 499T897 445T933 423Q941 418 942 416T944 405T937 390H70Q56 397 56 410T70 430H852Q802 468 762 524T707 615T691 660ZM55 256Q56 264 62 270H929Q944 261 944 250T929 230H148Q149 229 165 215T196 185T231 145T270 87T303 16Q309 -1 306 -5Q304 -11 288 -11Q279 -11 276 -10T269 -4T264 10T253 36T231 75Q172 173 69 235Q59 242 57 245T55 256"],8656:[525,24,1000,56,945,"944 153Q944 140 929 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H929Q944 359 944 347Q944 336 930 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173H930Q931 172 933 171T936 169T938 167T941 164T942 162T943 158T944 153"],8657:[694,194,611,31,579,"228 -179Q227 -180 226 -182T223 -186T221 -189T218 -192T214 -193T208 -194Q196 -194 189 -181L188 125V430L176 419Q122 369 59 338Q46 330 40 330Q38 330 31 337V350Q31 362 33 365T46 374Q60 381 77 390T128 426T190 484T247 567T292 677Q295 688 298 692Q302 694 305 694Q313 694 318 677Q334 619 363 568T420 485T481 427T532 391T564 374Q575 368 577 365T579 350V337Q572 330 570 330Q564 330 551 338Q487 370 435 419L423 430L422 125V-181Q409 -194 401 -194Q397 -194 394 -193T388 -189T385 -184T382 -180V-177V475L373 487Q331 541 305 602Q304 601 300 591T290 571T278 548T260 519T238 488L229 476L228 148V-179"],8658:[525,24,1000,56,944,"580 514Q580 525 596 525Q601 525 604 525T609 525T613 524T615 523T617 520T619 517T622 512Q659 438 720 381T831 300T927 263Q944 258 944 250T935 239T898 228T840 204Q696 134 622 -12Q618 -21 615 -22T600 -24Q580 -24 580 -17Q580 -13 585 0Q620 69 671 123L681 133H70Q56 140 56 153Q56 168 72 173H725L735 181Q774 211 852 250Q851 251 834 259T789 283T735 319L725 327H72Q56 332 56 347Q56 360 70 367H681L671 377Q638 412 609 458T580 514"],8659:[694,194,611,31,579,"401 694Q412 694 422 681V375L423 70L435 81Q487 130 551 162Q564 170 570 170Q572 170 579 163V150Q579 138 577 135T564 126Q541 114 518 99T453 48T374 -46T318 -177Q313 -194 305 -194T293 -178T272 -119T225 -31Q158 70 46 126Q35 132 33 135T31 150V163Q38 170 40 170Q46 170 59 162Q122 131 176 81L188 70V375L189 681Q199 694 208 694Q219 694 228 680V352L229 25L238 12Q279 -42 305 -102Q344 -23 373 13L382 25V678Q387 692 401 694"],8660:[526,25,1000,33,966,"308 524Q318 526 323 526Q340 526 340 514Q340 507 336 499Q326 476 314 454T292 417T274 391T260 374L255 368Q255 367 500 367Q744 367 744 368L739 374Q734 379 726 390T707 416T685 453T663 499Q658 511 658 515Q658 525 680 525Q687 524 690 523T695 519T701 507Q766 359 902 287Q921 276 939 269T961 259T966 250Q966 246 965 244T960 240T949 236T930 228T902 213Q763 137 701 -7Q697 -16 695 -19T690 -23T680 -25Q658 -25 658 -15Q658 -11 663 1Q673 24 685 46T707 83T725 109T739 126L744 132Q744 133 500 133Q255 133 255 132L260 126Q265 121 273 110T292 84T314 47T336 1Q341 -11 341 -15Q341 -25 319 -25Q312 -24 309 -23T304 -19T298 -7Q233 141 97 213Q83 221 70 227T51 235T41 239T35 243T34 250T35 256T40 261T51 265T70 273T97 287Q235 363 299 509Q305 522 308 524ZM792 319L783 327H216Q183 294 120 256L110 250L120 244Q173 212 207 181L216 173H783L792 181Q826 212 879 244L889 250L879 256Q826 288 792 319"],8661:[772,272,611,31,579,"290 755Q298 772 305 772T318 757T343 706T393 633Q431 588 473 558T545 515T579 497V484Q579 464 570 464Q564 464 550 470Q485 497 423 550L422 400V100L423 -50Q485 3 550 30Q565 36 570 36Q579 36 579 16V3Q575 -1 549 -12T480 -53T393 -132Q361 -172 342 -208T318 -258T305 -272T293 -258T268 -208T217 -132Q170 -80 128 -51T61 -12T31 3V16Q31 36 40 36Q46 36 61 30Q86 19 109 6T146 -18T173 -38T188 -50V550Q186 549 173 539T147 519T110 495T61 470Q46 464 40 464Q31 464 31 484V497Q34 500 63 513T135 557T217 633Q267 692 290 755ZM374 598Q363 610 351 625T332 651T316 676T305 695L294 676Q282 657 267 636T236 598L228 589V-89L236 -98Q247 -110 259 -125T278 -151T294 -176T305 -195L316 -176Q328 -157 343 -136T374 -98L382 -89V589L374 598"],8704:[694,22,556,0,556,"0 673Q0 684 7 689T20 694Q32 694 38 680T82 567L126 451H430L473 566Q483 593 494 622T512 668T519 685Q524 694 538 694Q556 692 556 674Q556 670 426 329T293 -15Q288 -22 278 -22T263 -15Q260 -11 131 328T0 673ZM414 410Q414 411 278 411T142 410L278 55L414 410"],8706:[715,22,531,42,567,"202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306"],8707:[694,0,556,56,500,"56 661T56 674T70 694H487Q497 686 500 679V15Q497 10 487 1L279 0H70Q56 7 56 20T70 40H460V327H84Q70 334 70 347T84 367H460V654H70Q56 661 56 674"],8709:[772,78,500,39,460,"331 696Q335 708 339 722T345 744T350 759T357 769T367 772Q374 772 381 767T388 754Q388 746 377 712L366 673L378 661Q460 575 460 344Q460 281 456 234T432 126T373 27Q319 -22 250 -22Q214 -22 180 -7Q168 -3 168 -4L159 -33Q148 -71 142 -75Q138 -78 132 -78Q124 -78 118 -72T111 -60Q111 -52 122 -18L133 21L125 29Q39 111 39 344Q39 596 137 675Q187 716 251 716Q265 716 278 714T296 710T315 703T331 696ZM276 676Q264 679 246 679Q196 679 159 631Q134 597 128 536T121 356Q121 234 127 174T151 80L234 366Q253 430 275 506T308 618L318 654Q318 656 294 669L276 676ZM181 42Q207 16 250 16Q291 16 324 47Q354 78 366 136T378 356Q378 470 372 528T349 616L348 613Q348 611 264 326L181 42"],8711:[683,33,833,46,786,"46 676Q46 679 51 683H781Q786 679 786 676Q786 674 617 326T444 -26Q439 -33 416 -33T388 -26Q385 -22 216 326T46 676ZM697 596Q697 597 445 597T193 596Q195 591 319 336T445 80L697 596"],8712:[541,41,667,84,583,"84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250"],8713:[716,215,667,84,584,"196 25Q84 109 84 250Q84 372 166 450T360 539Q361 539 375 539T413 540T460 540L547 707Q550 716 563 716Q570 716 575 712T581 703T583 696T505 540H568Q583 532 583 520Q583 511 570 501L484 500L366 270H568Q583 262 583 250T568 230H346L247 38Q284 16 328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 447 -40T419 -41Q304 -41 228 3Q117 -211 115 -212Q111 -215 104 -215T92 -212T86 -204T84 -197Q84 -190 89 -183L196 25ZM214 61L301 230H124V228Q124 196 147 147T214 61ZM321 270L440 500Q353 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H321"],8715:[541,40,667,83,582,"83 520Q83 532 98 540H195Q202 540 220 540T249 541Q404 541 494 455Q582 374 582 250Q582 165 539 99T434 0T304 -39Q297 -40 195 -40H98Q83 -32 83 -20Q83 -10 96 0H200Q311 1 337 6Q369 14 401 28Q422 39 445 55Q484 85 508 127T537 191T542 228V230H98Q84 237 84 250T98 270H542V272Q542 280 539 295T527 336T497 391T445 445Q422 461 401 472Q386 479 374 483T347 491T325 495T298 498T273 499T239 500T200 500L96 501Q83 511 83 520"],8722:[270,-230,778,84,694,"84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250"],8723:[500,166,778,56,722,"56 467T56 480T70 500H707Q722 492 722 480T707 460H409V187H707Q722 179 722 167Q722 154 707 147H409V0V-93Q409 -144 406 -155T389 -166Q376 -166 372 -155T368 -105Q368 -96 368 -62T369 -2V147H70Q56 154 56 167T70 187H369V460H70Q56 467 56 480"],8725:[750,250,500,56,444,"423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750"],8726:[750,250,500,56,444,"56 731Q56 740 62 745T75 750Q85 750 92 740Q96 733 270 255T444 -231Q444 -239 438 -244T424 -250Q414 -250 407 -240Q404 -236 230 242T56 731"],8727:[465,-35,500,64,435,"229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286"],8728:[444,-55,500,55,444,"55 251Q55 328 112 386T249 444T386 388T444 249Q444 171 388 113T250 55Q170 55 113 112T55 251ZM245 403Q188 403 142 361T96 250Q96 183 141 140T250 96Q284 96 313 109T354 135T375 160Q403 197 403 250Q403 313 360 358T245 403"],8729:[444,-55,500,55,444,"55 251Q55 328 112 386T249 444T386 388T444 249Q444 171 388 113T250 55Q170 55 113 112T55 251"],8730:[800,200,833,71,853,"95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178"],8733:[442,11,778,56,722,"56 124T56 216T107 375T238 442Q260 442 280 438T319 425T352 407T382 385T406 361T427 336T442 315T455 297T462 285L469 297Q555 442 679 442Q687 442 722 437V398H718Q710 400 694 400Q657 400 623 383T567 343T527 294T503 253T495 235Q495 231 520 192T554 143Q625 44 696 44Q717 44 719 46H722V-5Q695 -11 678 -11Q552 -11 457 141Q455 145 454 146L447 134Q362 -11 235 -11Q157 -11 107 56ZM93 213Q93 143 126 87T220 31Q258 31 292 48T349 88T389 137T413 178T421 196Q421 200 396 239T362 288Q322 345 288 366T213 387Q163 387 128 337T93 213"],8734:[442,11,1000,55,944,"55 217Q55 305 111 373T254 442Q342 442 419 381Q457 350 493 303L507 284L514 294Q618 442 747 442Q833 442 888 374T944 214Q944 128 889 59T743 -11Q657 -11 580 50Q542 81 506 128L492 147L485 137Q381 -11 252 -11Q166 -11 111 57T55 217ZM907 217Q907 285 869 341T761 397Q740 397 720 392T682 378T648 359T619 335T594 310T574 285T559 263T548 246L543 238L574 198Q605 158 622 138T664 94T714 61T765 51Q827 51 867 100T907 217ZM92 214Q92 145 131 89T239 33Q357 33 456 193L425 233Q364 312 334 337Q285 380 233 380Q171 380 132 331T92 214"],8736:[694,0,722,55,666,"71 0L68 2Q65 3 63 5T58 11T55 20Q55 22 57 28Q67 43 346 361Q397 420 474 508Q595 648 616 671T647 694T661 688T666 674Q666 668 663 663Q662 662 627 622T524 503T390 350L120 41L386 40H653Q666 30 666 20Q666 8 651 0H71"],8739:[750,249,278,119,159,"139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139"],8741:[750,250,500,132,368,"133 736Q138 750 153 750Q164 750 170 739Q172 735 172 250T170 -239Q164 -250 152 -250Q144 -250 138 -244L137 -243Q133 -241 133 -179T132 250Q132 731 133 736ZM329 739Q334 750 346 750Q353 750 361 744L362 743Q366 741 366 679T367 250T367 -178T362 -243L361 -244Q355 -250 347 -250Q335 -250 329 -239Q327 -235 327 250T329 739"],8743:[598,22,667,55,611,"318 591Q325 598 333 598Q344 598 348 591Q349 590 414 445T545 151T611 -4Q609 -22 591 -22Q588 -22 586 -21T581 -20T577 -17T575 -13T572 -9T570 -4L333 528L96 -4Q87 -20 80 -21Q78 -22 75 -22Q57 -22 55 -4Q55 2 120 150T251 444T318 591"],8744:[598,22,667,55,611,"55 580Q56 587 61 592T75 598Q86 598 96 580L333 48L570 580Q579 596 586 597Q588 598 591 598Q609 598 611 580Q611 574 546 426T415 132T348 -15Q343 -22 333 -22T318 -15Q317 -14 252 131T121 425T55 580"],8745:[598,22,667,55,611,"88 -21T75 -21T55 -7V200Q55 231 55 280Q56 414 60 428Q61 430 61 431Q77 500 152 549T332 598Q443 598 522 544T610 405Q611 399 611 194V-7Q604 -22 591 -22Q582 -22 572 -9L570 405Q563 433 556 449T529 485Q498 519 445 538T334 558Q251 558 179 518T96 401Q95 396 95 193V-7Q88 -21 75 -21"],8746:[598,22,667,55,611,"591 598H592Q604 598 611 583V376Q611 345 611 296Q610 162 606 148Q605 146 605 145Q586 68 507 23T333 -22Q268 -22 209 -1T106 66T56 173Q55 180 55 384L56 585Q66 598 75 598Q85 598 95 585V378L96 172L98 162Q112 95 181 57T332 18Q415 18 487 58T570 175Q571 180 571 383V583Q579 598 591 598"],8747:[716,216,417,55,472,"151 -112Q151 -150 106 -161Q106 -165 114 -172T134 -179Q155 -179 170 -146Q181 -120 188 -64T206 101T232 310Q256 472 277 567Q308 716 392 716Q434 716 453 681T472 613Q472 590 458 577T424 564Q404 564 390 578T376 612Q376 650 421 661Q421 663 418 667T407 675T393 679Q387 679 380 675Q360 665 350 619T326 438Q302 190 253 -57Q235 -147 201 -186Q174 -213 138 -216Q93 -216 74 -181T55 -113Q55 -91 69 -78T103 -64Q123 -64 137 -78T151 -112"],8764:[367,-133,778,55,722,"55 166Q55 241 101 304T222 367Q260 367 296 349T362 304T421 252T484 208T554 189Q616 189 655 236T694 338Q694 350 698 358T708 367Q722 367 722 334Q722 260 677 197T562 134H554Q517 134 481 152T414 196T355 248T292 293T223 311Q179 311 145 286Q109 257 96 218T80 156T69 133Q55 133 55 166"],8768:[583,83,278,55,222,"55 569Q55 583 83 583Q122 583 151 565T194 519T215 464T222 411Q222 360 194 304T139 193T111 89Q111 38 134 -7T195 -55Q222 -57 222 -69Q222 -83 189 -83Q130 -83 93 -33T55 90Q55 130 72 174T110 252T148 328T166 411Q166 462 144 507T83 555Q55 556 55 569"],8771:[464,-36,778,55,722,"55 283Q55 356 103 409T217 463Q262 463 297 447T395 382Q431 355 446 344T493 320T554 307H558Q613 307 652 344T694 433Q694 464 708 464T722 432Q722 356 673 304T564 251H554Q510 251 465 275T387 329T310 382T223 407H219Q164 407 122 367Q91 333 85 295T76 253T69 250Q55 250 55 283ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56"],8773:[589,-22,1000,55,722,"55 388Q55 463 101 526T222 589Q260 589 296 571T362 526T421 474T484 430T554 411Q616 411 655 458T694 560Q694 572 698 580T708 589Q722 589 722 556Q722 482 677 419T562 356H554Q517 356 481 374T414 418T355 471T292 515T223 533Q179 533 145 508Q109 479 96 440T80 378T69 355Q55 355 55 388ZM56 236Q56 249 70 256H707Q722 248 722 236Q722 225 708 217L390 216H72Q56 221 56 236ZM56 42Q56 57 72 62H708Q722 52 722 42Q722 30 707 22H70Q56 29 56 42"],8776:[483,-55,778,55,722,"55 319Q55 360 72 393T114 444T163 472T205 482Q207 482 213 482T223 483Q262 483 296 468T393 413L443 381Q502 346 553 346Q609 346 649 375T694 454Q694 465 698 474T708 483Q722 483 722 452Q722 386 675 338T555 289Q514 289 468 310T388 357T308 404T224 426Q164 426 125 393T83 318Q81 289 69 289Q55 289 55 319ZM55 85Q55 126 72 159T114 210T163 238T205 248Q207 248 213 248T223 249Q262 249 296 234T393 179L443 147Q502 112 553 112Q609 112 649 141T694 220Q694 249 708 249T722 217Q722 153 675 104T555 55Q514 55 468 76T388 123T308 170T224 192Q164 192 125 159T83 84Q80 55 69 55Q55 55 55 85"],8781:[484,-16,778,55,722,"55 464Q55 471 60 477T74 484Q80 484 108 464T172 420T268 376T389 356Q436 356 483 368T566 399T630 436T675 467T695 482Q701 484 703 484Q711 484 716 478T722 464Q722 454 707 442Q550 316 389 316Q338 316 286 329T195 362T124 402T76 437T57 456Q55 462 55 464ZM57 45Q66 58 109 88T230 151T381 183Q438 183 494 168T587 135T658 94T703 61T720 45Q722 39 722 36Q722 28 717 22T703 16Q697 16 669 36T606 80T510 124T389 144Q341 144 294 132T211 101T147 64T102 33T82 18Q76 16 74 16Q66 16 61 22T55 36Q55 39 57 45"],8784:[670,-133,778,56,722,"56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153ZM329 610Q329 634 346 652T389 670Q413 670 431 654T450 611Q450 586 433 568T390 550T347 567T329 610"],8800:[716,215,778,56,722,"166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215"],8801:[464,-36,778,56,722,"56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56"],8804:[636,138,778,83,694,"674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118"],8805:[636,138,778,82,694,"83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118"],8810:[568,67,1000,56,944,"639 -48Q639 -54 634 -60T619 -67H618Q612 -67 536 -26Q430 33 329 88Q61 235 59 239Q56 243 56 250T59 261Q62 266 336 415T615 567L619 568Q622 567 625 567Q639 562 639 548Q639 540 633 534Q632 532 374 391L117 250L374 109Q632 -32 633 -34Q639 -40 639 -48ZM944 -48Q944 -54 939 -60T924 -67H923Q917 -67 841 -26Q735 33 634 88Q366 235 364 239Q361 243 361 250T364 261Q367 266 641 415T920 567L924 568Q927 567 930 567Q944 562 944 548Q944 540 938 534Q937 532 679 391L422 250L679 109Q937 -32 938 -34Q944 -40 944 -48"],8811:[567,67,1000,55,944,"55 539T55 547T60 561T74 567Q81 567 207 498Q297 449 365 412Q633 265 636 261Q639 255 639 250Q639 241 626 232Q614 224 365 88Q83 -65 79 -66Q76 -67 73 -67Q65 -67 60 -61T55 -47Q55 -39 61 -33Q62 -33 95 -15T193 39T320 109L321 110H322L323 111H324L325 112L326 113H327L329 114H330L331 115H332L333 116L334 117H335L336 118H337L338 119H339L340 120L341 121H342L343 122H344L345 123H346L347 124L348 125H349L351 126H352L353 127H354L355 128L356 129H357L358 130H359L360 131H361L362 132L363 133H364L365 134H366L367 135H368L369 136H370L371 137L372 138H373L374 139H375L376 140L378 141L576 251Q63 530 62 533Q55 539 55 547ZM360 539T360 547T365 561T379 567Q386 567 512 498Q602 449 670 412Q938 265 941 261Q944 255 944 250Q944 241 931 232Q919 224 670 88Q388 -65 384 -66Q381 -67 378 -67Q370 -67 365 -61T360 -47Q360 -39 366 -33Q367 -33 400 -15T498 39T625 109L626 110H627L628 111H629L630 112L631 113H632L634 114H635L636 115H637L638 116L639 117H640L641 118H642L643 119H644L645 120L646 121H647L648 122H649L650 123H651L652 124L653 125H654L656 126H657L658 127H659L660 128L661 129H662L663 130H664L665 131H666L667 132L668 133H669L670 134H671L672 135H673L674 136H675L676 137L677 138H678L679 139H680L681 140L683 141L881 251Q368 530 367 533Q360 539 360 547"],8826:[539,41,778,84,694,"84 249Q84 262 91 266T117 270Q120 270 126 270T137 269Q388 273 512 333T653 512Q657 539 676 539Q685 538 689 532T694 520V515Q689 469 672 431T626 366T569 320T500 286T435 265T373 249Q379 248 404 242T440 233T477 221T533 199Q681 124 694 -17Q694 -41 674 -41Q658 -41 653 -17Q646 41 613 84T533 154T418 197T284 220T137 229H114Q104 229 98 230T88 235T84 249"],8827:[539,41,778,83,694,"84 517Q84 539 102 539Q115 539 119 529T125 503T137 459T171 404Q277 275 640 269H661Q694 269 694 249T661 229H640Q526 227 439 214T283 173T173 98T124 -17Q118 -41 103 -41Q83 -41 83 -17Q88 29 105 67T151 132T208 178T277 212T342 233T404 249Q401 250 380 254T345 263T302 276T245 299Q125 358 92 468Q84 502 84 517"],8834:[541,41,778,84,694,"84 250Q84 372 166 450T360 539Q361 539 370 539T395 539T430 540T475 540T524 540H679Q694 532 694 520Q694 511 681 501L522 500H470H441Q366 500 338 496T266 472Q244 461 224 446T179 404T139 337T124 250V245Q124 157 185 89Q244 25 328 7Q348 2 366 2T522 0H681Q694 -10 694 -20Q694 -32 679 -40H526Q510 -40 480 -40T434 -41Q350 -41 289 -25T172 45Q84 127 84 250"],8835:[541,40,778,83,693,"83 520Q83 532 98 540H251Q267 540 297 540T343 541Q427 541 488 525T605 455Q693 374 693 250Q693 165 650 99T545 0T415 -39Q407 -40 251 -40H98Q83 -32 83 -20Q83 -10 96 0H255H308H337Q412 0 439 4T512 28Q533 39 553 54T599 96T639 163T654 250Q654 341 592 411Q557 449 512 472Q468 491 439 495T335 500H306H255L96 501Q83 511 83 520"],8838:[637,138,778,84,694,"84 346Q84 468 166 546T360 635Q361 635 370 635T395 635T430 636T475 636T524 636H679Q694 628 694 616Q694 607 681 597L522 596H470H441Q366 596 338 592T266 568Q244 557 224 542T179 500T139 433T124 346V341Q124 253 185 185Q244 121 328 103Q348 98 366 98T522 96H681Q694 86 694 76Q694 64 679 56H526Q510 56 480 56T434 55Q350 55 289 71T172 141Q84 223 84 346ZM104 -131T104 -118T118 -98H679Q694 -106 694 -118T679 -138H118Q104 -131 104 -118"],8839:[637,138,778,83,693,"83 616Q83 628 98 636H251Q267 636 297 636T343 637Q427 637 488 621T605 551Q693 470 693 346Q693 261 650 195T545 96T415 57Q407 56 251 56H98Q83 64 83 76Q83 86 96 96H255H308H337Q412 96 439 100T512 124Q533 135 553 150T599 192T639 259T654 346Q654 437 592 507Q557 545 512 568Q468 587 439 591T335 596H306H255L96 597Q83 607 83 616ZM84 -131T84 -118T98 -98H659Q674 -106 674 -118T659 -138H98Q84 -131 84 -118"],8846:[598,22,667,55,611,"591 598H592Q604 598 611 583V376Q611 345 611 296Q610 162 606 148Q605 146 605 145Q586 68 507 23T333 -22Q268 -22 209 -1T106 66T56 173Q55 180 55 384L56 585Q66 598 75 598Q85 598 95 585V378L96 172L98 162Q112 95 181 57T332 18Q415 18 487 58T570 175Q571 180 571 383V583Q579 598 591 598ZM313 406Q313 417 313 435T312 459Q312 483 316 493T333 503T349 494T353 461V406V325H515Q516 325 519 323T527 316T531 305T527 294T520 287T515 285H353V204V152Q353 127 350 117T333 107T316 117T312 152Q312 158 312 175T313 204V285H151Q150 285 147 287T139 294T135 305T139 316T146 323T151 325H313V406"],8849:[636,138,778,84,714,"94 620Q98 632 110 636H699Q714 628 714 616T699 596H134V96H698Q714 90 714 76Q714 64 699 56H109Q104 59 95 69L94 344V620ZM84 -118Q84 -103 100 -98H698Q714 -104 714 -118Q714 -130 699 -138H98Q84 -131 84 -118"],8850:[636,138,778,64,694,"64 603T64 616T78 636H668Q675 633 683 623V69Q675 59 668 56H78Q64 63 64 76Q64 91 80 96H643V596H78Q64 603 64 616ZM64 -118Q64 -108 79 -98H678Q694 -104 694 -118Q694 -130 679 -138H78Q64 -131 64 -118"],8851:[598,0,667,61,605,"83 0Q79 0 76 1T71 3T67 6T65 9T63 13T61 16V301L62 585Q70 595 76 598H592Q602 590 605 583V15Q598 2 587 0Q583 0 580 1T575 3T571 6T569 9T567 13T565 16V558H101V15Q94 2 83 0"],8852:[598,0,667,61,605,"77 0Q65 4 61 16V301L62 585Q72 598 81 598Q94 598 101 583V40H565V583Q573 598 585 598Q598 598 605 583V15Q602 10 592 1L335 0H77"],8853:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222"],8854:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM681 278Q669 385 591 463T381 542Q283 542 196 471T96 278V270H681V278ZM275 -42T388 -42T585 32T681 222V230H96V222Q108 107 191 33"],8855:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM582 471Q531 510 496 523Q446 542 381 542Q324 542 272 519T196 471L389 278L485 375L582 471ZM167 442Q95 362 95 250Q95 137 167 58L359 250L167 442ZM610 58Q682 138 682 250Q682 363 610 442L418 250L610 58ZM196 29Q209 16 230 2T295 -27T388 -42Q409 -42 429 -40T465 -33T496 -23T522 -11T544 1T561 13T574 22T582 29L388 222L196 29"],8856:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM582 471Q581 472 571 480T556 491T539 502T517 514T491 525T460 534T424 539T381 542Q272 542 184 460T95 251Q95 198 113 150T149 80L167 58L582 471ZM388 -42Q513 -42 597 44T682 250Q682 363 610 442L196 29Q209 16 229 2T295 -27T388 -42"],8857:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM682 250Q682 322 649 387T546 497T381 542Q272 542 184 459T95 250Q95 132 178 45T389 -42Q515 -42 598 45T682 250ZM311 250Q311 285 332 304T375 328Q376 328 382 328T392 329Q424 326 445 305T466 250Q466 217 445 195T389 172Q354 172 333 195T311 250"],8866:[695,0,611,55,555,"55 678Q55 679 56 681T58 684T61 688T65 691T70 693T77 694Q88 692 95 679V367H540Q555 359 555 347Q555 334 540 327H95V15Q88 2 77 0Q73 0 70 1T65 3T61 6T59 9T57 13T55 16V678"],8867:[695,0,611,54,555,"515 678Q515 679 516 681T518 684T521 688T525 691T530 693T537 694Q548 692 555 679V15Q548 2 537 0Q533 0 530 1T525 3T521 6T519 9T517 13T515 16V327H71Q70 327 67 329T59 336T55 347T59 358T66 365T71 367H515V678"],8868:[668,0,778,55,723,"55 642T55 648T59 659T66 666T71 668H708Q723 660 723 648T708 628H409V15Q402 2 391 0Q387 0 384 1T379 3T375 6T373 9T371 13T369 16V628H71Q70 628 67 630T59 637"],8869:[669,0,778,54,723,"369 652Q369 653 370 655T372 658T375 662T379 665T384 667T391 668Q402 666 409 653V40H708Q723 32 723 20T708 0H71Q70 0 67 2T59 9T55 20T59 31T66 38T71 40H369V652"],8872:[750,249,867,119,812,"139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V367H796Q811 359 811 347Q811 336 797 328L479 327H161L159 328V172L161 173H797Q798 172 800 171T803 169T805 167T808 164T809 162T810 158T811 153Q811 140 796 133H159V-235Q151 -249 141 -249H139"],8900:[488,-12,500,12,488,"242 486Q245 488 250 488Q256 488 258 486Q262 484 373 373T486 258T488 250T486 242T373 127T258 14Q256 12 250 12Q245 12 242 14Q237 16 127 126T14 242Q12 245 12 250T14 258Q16 263 126 373T242 486ZM439 250L250 439L61 250L250 61L439 250"],8901:[310,-190,278,78,199,"78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250"],8902:[486,-16,500,3,497,"210 282Q210 284 225 381T241 480Q241 484 245 484Q249 486 251 486Q258 486 260 477T272 406Q275 390 276 380Q290 286 290 282L388 299Q484 314 487 314H488Q497 314 497 302Q497 297 434 266Q416 257 404 251L315 206L361 118Q372 98 383 75T401 40L407 28Q407 16 395 16Q394 16 392 16L390 17L250 159L110 17L108 16Q106 16 105 16Q93 16 93 28L99 40Q105 52 116 75T139 118L185 206L96 251Q6 296 4 300Q3 301 3 302Q3 314 12 314H13Q16 314 112 299L210 282"],8904:[505,5,900,26,873,"833 50T833 250T832 450T659 351T487 250T658 150T832 50Q833 50 833 250ZM873 10Q866 -5 854 -5Q851 -5 845 -3L449 226L260 115Q51 -5 43 -5Q39 -5 35 -1T28 7L26 11V489Q33 505 43 505Q51 505 260 385L449 274L845 503Q851 505 853 505Q866 505 873 490V10ZM412 250L67 450Q66 450 66 250T67 50Q69 51 240 150T412 250"],8942:[900,30,278,78,199,"78 30Q78 54 95 72T138 90Q162 90 180 74T199 31Q199 6 182 -12T139 -30T96 -13T78 30ZM78 440Q78 464 95 482T138 500Q162 500 180 484T199 441Q199 416 182 398T139 380T96 397T78 440ZM78 840Q78 864 95 882T138 900Q162 900 180 884T199 841Q199 816 182 798T139 780T96 797T78 840"],8943:[310,-190,1172,78,1093,"78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250ZM525 250Q525 274 542 292T585 310Q609 310 627 294T646 251Q646 226 629 208T586 190T543 207T525 250ZM972 250Q972 274 989 292T1032 310Q1056 310 1074 294T1093 251Q1093 226 1076 208T1033 190T990 207T972 250"],8945:[820,-100,1282,133,1148,"133 760Q133 784 150 802T193 820Q217 820 235 804T254 761Q254 736 237 718T194 700T151 717T133 760ZM580 460Q580 484 597 502T640 520Q664 520 682 504T701 461Q701 436 684 418T641 400T598 417T580 460ZM1027 160Q1027 184 1044 202T1087 220Q1111 220 1129 204T1148 161Q1148 136 1131 118T1088 100T1045 117T1027 160"],8968:[750,250,444,174,422,"174 734Q178 746 190 750H298H369Q400 750 411 747T422 730T411 713T372 709Q365 709 345 709T310 710H214V-235Q206 -248 196 -250Q192 -250 189 -249T184 -247T180 -244T178 -241T176 -237T174 -234V734"],8969:[750,250,444,21,269,"21 717T21 730T32 746T75 750H147H256Q266 742 269 735V-235Q262 -248 251 -250Q247 -250 244 -249T239 -247T235 -244T233 -241T231 -237T229 -234V710H133Q119 710 99 710T71 709Q43 709 32 713"],8970:[751,251,444,174,423,"174 734Q174 735 175 737T177 740T180 744T184 747T189 749T196 750Q206 748 214 735V-210H310H373Q401 -210 411 -213T422 -230T411 -247T369 -251Q362 -251 338 -251T298 -250H190Q178 -246 174 -234V734"],8971:[751,250,444,21,269,"229 734Q229 735 230 737T232 740T235 744T239 747T244 749T251 750Q262 748 269 735V-235Q266 -240 256 -249L147 -250H77Q43 -250 32 -247T21 -230T32 -213T72 -209Q79 -209 99 -209T133 -210H229V734"],8994:[388,-122,1000,55,944,"55 141Q55 149 72 174T125 234T209 303T329 360T478 388H526Q649 383 765 319Q814 291 858 250T923 179T944 141Q944 133 938 128T924 122Q914 124 912 125T902 139Q766 328 500 328Q415 328 342 308T225 258T150 199T102 148T84 124Q81 122 75 122Q55 127 55 141"],8995:[378,-134,1000,55,944,"923 378Q944 378 944 358Q944 345 912 311T859 259Q710 134 500 134Q288 134 140 259Q55 336 55 358Q55 366 61 372T75 378Q78 378 84 376Q86 376 101 356T147 310T221 257T339 212T500 193Q628 193 734 236Q841 282 903 363Q914 378 923 378"],9136:[744,244,412,56,357,"357 741V726Q357 720 349 715Q261 655 242 539Q240 526 240 454T239 315T239 247Q240 235 240 124V40Q240 -17 233 -53T201 -130Q155 -206 78 -244H69H64Q58 -244 57 -243T56 -234Q56 -232 56 -231V-225Q56 -218 63 -215Q153 -153 170 -39Q172 -25 173 119V219Q173 245 174 249Q173 258 173 376V460Q173 515 178 545T201 611Q244 695 327 741L334 744H354L357 741"],9137:[744,244,412,55,357,"78 744Q153 706 196 640T239 492V376Q239 341 239 314T238 271T238 253Q239 251 239 223V119V49Q239 -39 254 -85Q263 -111 275 -134T301 -172T326 -197T346 -213T356 -221T357 -232V-241L354 -244H334Q264 -209 222 -146T174 -12Q173 -6 173 95Q173 134 173 191T174 250Q173 258 173 382V451Q173 542 159 585Q145 626 120 658T75 706T56 723V731Q56 741 57 742T66 744H78"],10216:[750,250,389,109,333,"333 -232Q332 -239 327 -244T313 -250Q303 -250 296 -240Q293 -233 202 6T110 250T201 494T296 740Q299 745 306 749L309 750Q312 750 313 750Q331 750 333 732Q333 727 243 489Q152 252 152 250T243 11Q333 -227 333 -232"],10217:[750,250,389,55,279,"55 732Q56 739 61 744T75 750Q85 750 92 740Q95 733 186 494T278 250T187 6T92 -240Q85 -250 75 -250Q67 -250 62 -245T55 -232Q55 -227 145 11Q236 248 236 250T145 489Q55 727 55 732"],10222:[744,244,412,173,357,"357 741V726Q357 720 349 715Q261 655 242 539Q240 526 240 394V331Q240 259 239 250Q240 242 240 119V49Q240 -42 254 -85Q263 -111 275 -134T301 -172T326 -197T346 -213T356 -221T357 -232V-241L354 -244H334Q264 -209 222 -146T174 -12Q173 -6 173 95Q173 134 173 191T174 250Q173 260 173 376V460Q173 515 178 545T201 611Q244 695 327 741L334 744H354L357 741"],10223:[744,244,412,55,240,"78 744Q153 706 196 640T239 492V376Q239 339 239 311T238 269T238 252Q240 236 240 124V40Q240 -18 233 -53T202 -130Q156 -206 79 -244H70H65Q58 -244 57 -242T56 -231T57 -220T64 -215Q153 -154 170 -39Q173 -18 174 119V247Q173 249 173 382V451Q173 542 159 585Q145 626 120 658T75 706T56 723V731Q56 741 57 742T66 744H78"],10229:[511,11,1609,55,1525,"165 270H1510Q1525 262 1525 250T1510 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270"],10230:[511,11,1638,84,1553,"84 237T84 250T98 270H1444Q1328 357 1301 493Q1301 494 1301 496T1300 499Q1300 511 1317 511H1320Q1329 511 1332 510T1338 506T1341 497T1344 481T1352 456Q1374 389 1425 336T1544 261Q1553 258 1553 250Q1553 244 1548 241T1524 231T1486 212Q1445 186 1415 152T1370 85T1349 35T1341 4Q1339 -6 1336 -8T1320 -11Q1300 -11 1300 0Q1300 7 1305 25Q1337 151 1444 230H98Q84 237 84 250"],10231:[511,11,1859,55,1803,"165 270H1694Q1578 357 1551 493Q1551 494 1551 496T1550 499Q1550 511 1567 511H1570Q1579 511 1582 510T1588 506T1591 497T1594 481T1602 456Q1624 389 1675 336T1794 261Q1803 258 1803 250Q1803 244 1798 241T1774 231T1736 212Q1695 186 1665 152T1620 85T1599 35T1591 4Q1589 -6 1586 -8T1570 -11Q1550 -11 1550 0Q1550 7 1555 25Q1587 151 1694 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270"],10232:[525,24,1609,56,1554,"274 173H1539Q1540 172 1542 171T1545 169T1547 167T1550 164T1551 162T1552 158T1553 153Q1553 140 1538 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H1538Q1553 359 1553 347Q1553 336 1539 328L1221 327H903L900 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173"],10233:[525,24,1638,56,1582,"1218 514Q1218 525 1234 525Q1239 525 1242 525T1247 525T1251 524T1253 523T1255 520T1257 517T1260 512Q1297 438 1358 381T1469 300T1565 263Q1582 258 1582 250T1573 239T1536 228T1478 204Q1334 134 1260 -12Q1256 -21 1253 -22T1238 -24Q1218 -24 1218 -17Q1218 -13 1223 0Q1258 69 1309 123L1319 133H70Q56 140 56 153Q56 168 72 173H1363L1373 181Q1412 211 1490 250Q1489 251 1472 259T1427 283T1373 319L1363 327H710L707 328L390 327H72Q56 332 56 347Q56 360 70 367H1319L1309 377Q1276 412 1247 458T1218 514"],10234:[525,24,1858,56,1802,"1438 514Q1438 525 1454 525Q1459 525 1462 525T1467 525T1471 524T1473 523T1475 520T1477 517T1480 512Q1517 438 1578 381T1689 300T1785 263Q1802 258 1802 250T1793 239T1756 228T1698 204Q1554 134 1480 -12Q1476 -21 1473 -22T1458 -24Q1438 -24 1438 -17Q1438 -13 1443 0Q1478 69 1529 123L1539 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H1539L1529 377Q1496 412 1467 458T1438 514ZM274 173H1583L1593 181Q1632 211 1710 250Q1709 251 1692 259T1647 283T1593 319L1583 327H930L927 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173"],10236:[511,11,1638,54,1553,"95 155V109Q95 83 92 73T75 63Q61 63 58 74T54 130Q54 140 54 180T55 250Q55 421 57 425Q61 437 75 437Q88 437 91 428T95 393V345V270H1444Q1328 357 1301 493Q1301 494 1301 496T1300 499Q1300 511 1317 511H1320Q1329 511 1332 510T1338 506T1341 497T1344 481T1352 456Q1374 389 1425 336T1544 261Q1553 258 1553 250Q1553 244 1548 241T1524 231T1486 212Q1445 186 1415 152T1370 85T1349 35T1341 4Q1339 -6 1336 -8T1320 -11Q1300 -11 1300 0Q1300 7 1305 25Q1337 151 1444 230H95V155"],10927:[636,138,778,84,694,"84 346Q84 359 91 363T117 367Q120 367 126 367T137 366Q388 370 512 430T653 609Q657 636 676 636Q685 635 689 629T694 618V612Q689 566 672 528T626 463T569 417T500 383T435 362T373 346Q379 345 404 339T440 330T477 318T533 296Q592 266 630 223T681 145T694 78Q694 57 674 57Q662 57 657 67T652 92T640 135T606 191Q500 320 137 326H114Q104 326 98 327T88 332T84 346ZM84 -131T84 -118T98 -98H679Q694 -106 694 -118T679 -138H98Q84 -131 84 -118"],10928:[636,138,778,83,694,"84 614Q84 636 102 636Q115 636 119 626T125 600T137 556T171 501Q277 372 640 366H661Q694 366 694 346T661 326H640Q578 325 526 321T415 307T309 280T222 237T156 172T124 83Q122 66 118 62T103 57Q100 57 98 57T95 58T93 59T90 62T85 67Q83 71 83 80Q88 126 105 164T151 229T208 275T277 309T342 330T404 346Q401 347 380 351T345 360T302 373T245 396Q125 455 92 565Q84 599 84 614ZM84 -131T84 -118T98 -98H679Q694 -106 694 -118T679 -138H98Q84 -131 84 -118"]};o.FONTDATA.FONTS["MathJax_Math-italic"]={directory:"Math/Italic",family:"MathJax_Math",id:"MJMATHI",style:"italic",skew:{65:0.139,66:0.0833,67:0.0833,68:0.0556,69:0.0833,70:0.0833,71:0.0833,72:0.0556,73:0.111,74:0.167,75:0.0556,76:0.0278,77:0.0833,78:0.0833,79:0.0833,80:0.0833,81:0.0833,82:0.0833,83:0.0833,84:0.0833,85:0.0278,88:0.0833,90:0.0833,99:0.0556,100:0.167,101:0.0556,102:0.167,103:0.0278,104:-0.0278,108:0.0833,111:0.0556,112:0.0833,113:0.0833,114:0.0556,115:0.0556,116:0.0833,117:0.0278,118:0.0278,119:0.0833,120:0.0278,121:0.0556,122:0.0556,915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0,""],47:[716,215,778,139,638,"166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183Q157 -157 378 274T602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 691 406 241T170 -212Q166 -215 159 -215"],65:[716,0,750,35,726,"208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260"],66:[683,0,759,35,756,"231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229"],67:[705,22,715,50,760,"50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252"],68:[683,0,828,33,803,"287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469"],69:[680,0,738,31,764,"492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213"],70:[680,0,643,31,749,"48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 200H470Q463 206 463 212Q463 215 468 234T473 274Q473 303 453 310T364 317H309L277 190Q245 66 245 60Q245 46 334 46H359Q365 40 365 39T363 19Q359 6 353 0H336Q295 2 185 2Q120 2 86 2T48 1"],71:[705,22,786,50,760,"50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q492 659 471 656T418 643T357 615T294 567T236 496T189 394T158 260Q156 242 156 221Q156 173 170 136T206 79T256 45T308 28T353 24Q407 24 452 47T514 106Q517 114 529 161T541 214Q541 222 528 224T468 227H431Q425 233 425 235T427 254Q431 267 437 273H454Q494 271 594 271Q634 271 659 271T695 272T707 272Q721 272 721 263Q721 261 719 249Q714 230 709 228Q706 227 694 227Q674 227 653 224Q646 221 643 215T629 164Q620 131 614 108Q589 6 586 3Q584 1 581 1Q571 1 553 21T530 52Q530 53 528 52T522 47Q448 -22 322 -22Q201 -22 126 55T50 252"],72:[683,0,831,31,888,"228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 219 683Q260 681 355 681Q389 681 418 681T463 682T483 682Q499 682 499 672Q499 670 497 658Q492 641 487 638H485Q483 638 480 638T473 638T464 637T455 637Q416 636 405 634T387 623Q384 619 355 500Q348 474 340 442T328 395L324 380Q324 378 469 378H614L615 381Q615 384 646 504Q674 619 674 627T617 637Q594 637 587 639T580 648Q580 650 582 660Q586 677 588 679T604 682Q609 682 646 681T740 680Q802 680 835 681T871 682Q888 682 888 672Q888 645 876 638H874Q872 638 869 638T862 638T853 637T844 637Q805 636 794 634T776 623Q773 618 704 340T634 58Q634 51 638 51Q646 48 692 46H723Q729 38 729 37T726 19Q722 6 716 0H701Q664 2 567 2Q533 2 504 2T458 2T437 1Q420 1 420 10Q420 15 423 24Q428 43 433 45Q437 46 448 46H454Q481 46 514 49Q520 50 522 50T528 55T534 64T540 82T547 110T558 153Q565 181 569 198Q602 330 602 331T457 332H312L279 197Q245 63 245 58Q245 51 253 49T303 46H334Q340 38 340 37T337 19Q333 6 327 0H312Q275 2 178 2Q144 2 115 2T69 2T48 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637"],73:[683,0,440,26,504,"43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1"],74:[683,22,555,57,633,"447 625Q447 637 354 637H329Q323 642 323 645T325 664Q329 677 335 683H352Q393 681 498 681Q541 681 568 681T605 682T619 682Q633 682 633 672Q633 670 630 658Q626 642 623 640T604 637Q552 637 545 623Q541 610 483 376Q420 128 419 127Q397 64 333 21T195 -22Q137 -22 97 8T57 88Q57 130 80 152T132 174Q177 174 182 130Q182 98 164 80T123 56Q115 54 115 53T122 44Q148 15 197 15Q235 15 271 47T324 130Q328 142 387 380T447 625"],75:[683,0,849,31,889,"285 628Q285 635 228 637Q205 637 198 638T191 647Q191 649 193 661Q199 681 203 682Q205 683 214 683H219Q260 681 355 681Q389 681 418 681T463 682T483 682Q500 682 500 674Q500 669 497 660Q496 658 496 654T495 648T493 644T490 641T486 639T479 638T470 637T456 637Q416 636 405 634T387 623L306 305Q307 305 490 449T678 597Q692 611 692 620Q692 635 667 637Q651 637 651 648Q651 650 654 662T659 677Q662 682 676 682Q680 682 711 681T791 680Q814 680 839 681T869 682Q889 682 889 672Q889 650 881 642Q878 637 862 637Q787 632 726 586Q710 576 656 534T556 455L509 418L518 396Q527 374 546 329T581 244Q656 67 661 61Q663 59 666 57Q680 47 717 46H738Q744 38 744 37T741 19Q737 6 731 0H720Q680 3 625 3Q503 3 488 0H478Q472 6 472 9T474 27Q478 40 480 43T491 46H494Q544 46 544 71Q544 75 517 141T485 216L427 354L359 301L291 248L268 155Q245 63 245 58Q245 51 253 49T303 46H334Q340 37 340 35Q340 19 333 5Q328 0 317 0Q314 0 280 1T180 2Q118 2 85 2T49 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628"],76:[683,2,681,32,647,"228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637"],77:[684,0,970,35,1051,"289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629"],78:[683,0,803,31,888,"234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637"],79:[704,22,763,50,740,"740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM637 476Q637 565 591 615T476 665Q396 665 322 605Q242 542 200 428T157 216Q157 126 200 73T314 19Q404 19 485 98T608 313Q637 408 637 476"],80:[683,0,642,33,751,"287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554"],81:[704,194,791,50,740,"399 -80Q399 -47 400 -30T402 -11V-7L387 -11Q341 -22 303 -22Q208 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435Q740 255 592 107Q529 47 461 16L444 8V3Q444 2 449 -24T470 -66T516 -82Q551 -82 583 -60T625 -3Q631 11 638 11Q647 11 649 2Q649 -6 639 -34T611 -100T557 -165T481 -194Q399 -194 399 -87V-80ZM636 468Q636 523 621 564T580 625T530 655T477 665Q429 665 379 640Q277 591 215 464T153 216Q153 110 207 59Q231 38 236 38V46Q236 86 269 120T347 155Q372 155 390 144T417 114T429 82T435 55L448 64Q512 108 557 185T619 334T636 468ZM314 18Q362 18 404 39L403 49Q399 104 366 115Q354 117 347 117Q344 117 341 117T337 118Q317 118 296 98T274 52Q274 18 314 18"],82:[683,21,759,33,755,"230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554"],83:[705,22,613,52,645,"308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24"],84:[677,0,584,21,704,"40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40"],85:[683,22,683,60,767,"107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637"],86:[683,22,583,52,769,"52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648"],87:[683,22,944,51,1048,"436 683Q450 683 486 682T553 680Q604 680 638 681T677 682Q695 682 695 674Q695 670 692 659Q687 641 683 639T661 637Q636 636 621 632T600 624T597 615Q597 603 613 377T629 138L631 141Q633 144 637 151T649 170T666 200T690 241T720 295T759 362Q863 546 877 572T892 604Q892 619 873 628T831 637Q817 637 817 647Q817 650 819 660Q823 676 825 679T839 682Q842 682 856 682T895 682T949 681Q1015 681 1034 683Q1048 683 1048 672Q1048 666 1045 655T1038 640T1028 637Q1006 637 988 631T958 617T939 600T927 584L923 578L754 282Q586 -14 585 -15Q579 -22 561 -22Q546 -22 542 -17Q539 -14 523 229T506 480L494 462Q472 425 366 239Q222 -13 220 -15T215 -19Q210 -22 197 -22Q178 -22 176 -15Q176 -12 154 304T131 622Q129 631 121 633T82 637H58Q51 644 51 648Q52 671 64 683H76Q118 680 176 680Q301 680 313 683H323Q329 677 329 674T327 656Q322 641 318 637H297Q236 634 232 620Q262 160 266 136L501 550L499 587Q496 629 489 632Q483 636 447 637Q428 637 422 639T416 648Q416 650 418 660Q419 664 420 669T421 676T424 680T428 682T436 683"],88:[683,0,828,26,852,"42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0"],89:[683,-1,581,30,763,"66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 46T129 46Q168 47 180 50T198 63Q201 68 227 171L252 274L129 623Q128 624 127 625T125 627T122 629T118 631T113 633T105 634T96 635T83 636T66 637"],90:[683,0,683,58,723,"58 8Q58 23 64 35Q64 36 329 334T596 635L586 637Q575 637 512 637H500H476Q442 637 420 635T365 624T311 598T266 548T228 469Q227 466 226 463T224 458T223 453T222 450L221 448Q218 443 202 443Q185 443 182 453L214 561Q228 606 241 651Q249 679 253 681Q256 683 487 683H718Q723 678 723 675Q723 673 717 649Q189 54 188 52L185 49H274Q369 50 377 51Q452 60 500 100T579 247Q587 272 590 277T603 282H607Q628 282 628 271Q547 5 541 2Q538 0 300 0H124Q58 0 58 8"],97:[441,10,529,33,506,"33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328"],98:[694,11,429,40,422,"73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325"],99:[442,12,433,34,430,"34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159"],100:[694,10,520,33,523,"366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326"],101:[443,11,466,39,430,"39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353"],102:[705,205,490,55,550,"118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162"],103:[442,205,477,10,480,"311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328"],104:[694,11,576,48,555,"137 683Q138 683 209 688T282 694Q294 694 294 685Q294 674 258 534Q220 386 220 383Q220 381 227 388Q288 442 357 442Q411 442 444 415T478 336Q478 285 440 178T402 50Q403 36 407 31T422 26Q450 26 474 56T513 138Q516 149 519 151T535 153Q555 153 555 145Q555 144 551 130Q535 71 500 33Q466 -10 419 -10H414Q367 -10 346 17T325 74Q325 90 361 192T398 345Q398 404 354 404H349Q266 404 205 306L198 293L164 158Q132 28 127 16Q114 -11 83 -11Q69 -11 59 -2T48 16Q48 30 121 320L195 616Q195 629 188 632T149 637H128Q122 643 122 645T124 664Q129 683 137 683"],105:[661,11,345,21,302,"184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287"],106:[661,204,412,-12,403,"297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376"],107:[694,11,521,48,503,"121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647"],108:[695,12,298,38,266,"117 59Q117 26 142 26Q179 26 205 131Q211 151 215 152Q217 153 225 153H229Q238 153 241 153T246 151T248 144Q247 138 245 128T234 90T214 43T183 6T137 -11Q101 -11 70 11T38 85Q38 97 39 102L104 360Q167 615 167 623Q167 626 166 628T162 632T157 634T149 635T141 636T132 637T122 637Q112 637 109 637T101 638T95 641T94 647Q94 649 96 661Q101 680 107 682T179 688Q194 689 213 690T243 693T254 694Q266 694 266 686Q266 675 193 386T118 83Q118 81 118 75T117 65V59"],109:[443,11,878,21,857,"21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287"],110:[443,11,600,21,580,"21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287"],111:[441,11,485,34,476,"201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120"],112:[443,194,503,-39,497,"23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102"],113:[442,194,446,33,460,"33 157Q33 258 109 349T280 441Q340 441 372 389Q373 390 377 395T388 406T404 418Q438 442 450 442Q454 442 457 439T460 434Q460 425 391 149Q320 -135 320 -139Q320 -147 365 -148H390Q396 -156 396 -157T393 -175Q389 -188 383 -194H370Q339 -192 262 -192Q234 -192 211 -192T174 -192T157 -193Q143 -193 143 -185Q143 -182 145 -170Q149 -154 152 -151T172 -148Q220 -148 230 -141Q238 -136 258 -53T279 32Q279 33 272 29Q224 -10 172 -10Q117 -10 75 30T33 157ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326"],114:[443,11,451,21,430,"21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287"],115:[443,10,469,53,419,"131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289"],116:[626,11,361,19,330,"26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26"],117:[442,11,572,21,551,"21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287"],118:[443,11,485,21,467,"173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380"],119:[443,11,716,21,690,"580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385"],120:[442,11,572,35,522,"52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289"],121:[443,205,490,21,497,"21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287"],122:[442,11,465,35,468,"347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338"],915:[680,-1,615,31,721,"49 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 661Q197 674 203 680H714Q721 676 721 669Q721 664 708 557T694 447Q692 440 674 440H662Q655 445 655 454Q655 455 658 480T661 534Q661 572 652 592Q638 619 603 626T501 634H471Q398 633 393 630Q389 628 386 622Q385 619 315 341T245 60Q245 46 333 46H345Q366 46 366 35Q366 33 363 21T358 6Q356 1 339 1Q334 1 292 1T187 2Q122 2 88 2T49 1"],920:[704,22,763,50,740,"740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM640 466Q640 523 625 565T583 628T532 658T479 668Q370 668 273 559T151 255Q150 245 150 213Q150 156 165 116T207 55T259 26T313 17Q385 17 451 63T561 184Q590 234 615 312T640 466ZM510 276Q510 278 512 288L515 298Q515 299 384 299H253L250 285Q246 271 244 268T231 265H227Q216 265 214 266T207 274Q207 278 223 345T244 416Q247 419 260 419H263Q280 419 280 408Q280 406 278 396L275 386Q275 385 406 385H537L540 399Q544 413 546 416T559 419H563Q574 419 576 418T583 410Q583 403 566 339Q549 271 544 267Q542 265 538 265H530H527Q510 265 510 276"],923:[716,0,694,35,670,"135 2Q114 2 90 2T60 1Q35 1 35 11Q35 28 42 40Q45 46 55 46Q119 46 151 94Q153 97 325 402T498 709Q505 716 526 716Q543 716 549 710Q550 709 560 548T580 224T591 57Q594 52 595 52Q603 47 638 46H663Q670 39 670 35Q669 12 657 0H644Q613 2 530 2Q497 2 469 2T424 2T405 1Q388 1 388 10Q388 15 391 24Q392 27 393 32T395 38T397 41T401 44T406 45T415 46Q473 46 487 64L472 306Q468 365 465 426T459 518L457 550Q456 550 328 322T198 88Q196 80 196 77Q196 49 243 46Q261 46 261 35Q261 34 259 22Q256 7 254 4T240 0Q237 0 211 1T135 2"],926:[678,0,742,53,777,"222 668Q222 670 229 677H654Q677 677 705 677T740 678Q764 678 770 676T777 667Q777 662 764 594Q761 579 757 559T751 528L749 519Q747 512 729 512H717Q710 519 710 525Q712 532 715 559T719 591Q718 595 711 595Q682 598 486 598Q252 598 246 592Q239 587 228 552L216 517Q214 512 197 512H185Q178 517 178 522Q178 524 198 591T222 668ZM227 262Q218 262 215 262T209 266L207 270L227 356Q247 435 250 439Q253 443 260 443H267H280Q287 438 287 433Q287 430 285 420T280 402L278 393Q278 392 431 392H585L590 415Q595 436 598 439T612 443H628Q635 438 635 433Q635 431 615 351T594 268Q592 262 575 262H572Q556 262 556 272Q556 280 560 293L565 313H258L252 292Q248 271 245 267T230 262H227ZM60 0Q53 4 53 11Q53 14 68 89T84 169Q88 176 98 176H104H116Q123 169 123 163Q122 160 117 127T112 88Q112 80 243 80H351H454Q554 80 574 81T597 88V89Q603 100 610 121T622 157T630 174Q633 176 646 176H658Q665 171 665 166Q665 164 643 89T618 7Q616 2 607 1T548 0H335H60"],928:[681,0,831,31,887,"48 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 661Q197 674 203 680H541Q621 680 709 680T812 681Q841 681 855 681T877 679T886 676T887 670Q887 663 885 656Q880 637 875 635Q871 634 860 634H854Q827 634 794 631Q780 628 775 619Q773 614 704 338T634 58Q634 51 638 51Q646 48 692 46H723Q729 38 729 37T726 19Q722 6 716 0H701Q664 2 567 2Q533 2 504 2T458 2T437 1Q420 1 420 10Q420 15 423 24Q428 43 433 45Q437 46 448 46H454Q481 46 514 49Q528 52 533 61Q536 67 572 209T642 491T678 632Q678 634 533 634H388Q387 631 316 347T245 59Q245 55 246 54T253 50T270 48T303 46H334Q340 38 340 37T337 19Q333 6 327 0H312Q275 2 178 2Q144 2 115 2T69 2T48 1"],931:[683,0,780,58,806,"65 0Q58 4 58 11Q58 16 114 67Q173 119 222 164L377 304Q378 305 340 386T261 552T218 644Q217 648 219 660Q224 678 228 681Q231 683 515 683H799Q804 678 806 674Q806 667 793 559T778 448Q774 443 759 443Q747 443 743 445T739 456Q739 458 741 477T743 516Q743 552 734 574T710 609T663 627T596 635T502 637Q480 637 469 637H339Q344 627 411 486T478 341V339Q477 337 477 336L457 318Q437 300 398 265T322 196L168 57Q167 56 188 56T258 56H359Q426 56 463 58T537 69T596 97T639 146T680 225Q686 243 689 246T702 250H705Q726 250 726 239Q726 238 683 123T639 5Q637 1 610 1Q577 0 348 0H65"],933:[706,0,583,28,700,"45 535Q34 535 31 536T28 544Q28 554 39 578T70 631T126 683T206 705Q230 705 251 698T295 671T330 612T344 514Q344 477 342 473V472Q343 472 347 480T361 509T380 547Q471 704 596 704Q615 704 625 702Q659 692 679 663T700 595Q700 565 696 552T687 537T670 535Q656 535 653 536T649 543Q649 544 649 550T650 562Q650 589 629 605T575 621Q502 621 448 547T365 361Q290 70 290 60Q290 46 379 46H404Q410 40 410 39T408 19Q404 6 398 0H381Q340 2 225 2Q184 2 149 2T94 2T69 1Q61 1 58 1T53 4T51 10Q51 11 53 23Q54 25 55 30T56 36T58 40T60 43T62 44T67 46T73 46T82 46H89Q144 46 163 49T190 62L198 93Q206 124 217 169T241 262T262 350T274 404Q281 445 281 486V494Q281 621 185 621Q147 621 116 601T74 550Q71 539 66 537T45 535"],934:[683,0,667,24,642,"356 624Q356 637 267 637H243Q237 642 237 645T239 664Q243 677 249 683H264Q342 681 429 681Q565 681 571 683H583Q589 677 589 674T587 656Q582 641 578 637H540Q516 637 504 637T479 633T463 630T454 623T448 613T443 597T438 576Q436 566 434 556T430 539L428 533Q442 533 472 526T543 502T613 451T642 373Q642 301 567 241T386 158L336 150Q332 150 331 146Q310 66 310 60Q310 46 399 46H424Q430 40 430 39T428 19Q424 6 418 0H401Q360 2 247 2Q207 2 173 2T119 2T95 1Q87 1 84 1T79 4T77 10Q77 11 79 23Q80 25 81 30T82 36T84 40T86 43T88 44T93 46T99 46T108 46H115Q170 46 189 49T216 62Q220 74 228 107L239 150L223 152Q139 164 82 205T24 311Q24 396 125 462Q207 517 335 533L346 578Q356 619 356 624ZM130 291Q130 203 241 188H249Q249 190 287 342L325 495H324Q313 495 291 491T229 466T168 414Q130 357 130 291ZM536 393Q536 440 507 463T418 496L341 187L351 189Q443 201 487 255Q536 314 536 393"],936:[683,0,612,21,692,"216 151Q48 174 48 329Q48 361 56 403T65 458Q65 482 58 494T43 507T28 510T21 520Q21 528 23 534T29 544L32 546H72H94Q110 546 119 544T139 536T154 514T159 476V465Q159 445 149 399T138 314Q142 229 197 201Q223 187 226 190L233 218Q240 246 253 300T280 407Q333 619 333 625Q333 637 244 637H220Q214 642 214 645T216 664Q220 677 226 683H241Q321 681 405 681Q543 681 549 683H560Q566 677 566 674T564 656Q559 641 555 637H517Q448 636 436 628Q429 623 423 600T373 404L320 192Q370 201 419 248Q451 281 469 317T500 400T518 457Q529 486 542 505T569 532T594 543T621 546H644H669Q692 546 692 536Q691 509 676 509Q623 509 593 399Q587 377 579 355T552 301T509 244T446 195T359 159Q324 151 314 151Q311 151 310 150T298 106T287 60Q287 46 376 46H401Q407 40 407 39T405 19Q401 6 395 0H378Q337 2 224 2Q184 2 150 2T96 2T72 1Q64 1 61 1T56 4T54 10Q54 11 56 23Q57 25 58 30T59 36T61 40T63 43T65 44T70 46T76 46T85 46H92Q147 46 166 49T193 62L204 106Q216 149 216 151"],937:[704,0,772,80,786,"125 84Q127 78 194 76H243V78Q243 122 208 215T165 350Q164 359 162 389Q162 522 272 610Q328 656 396 680T525 704Q628 704 698 661Q734 637 755 601T781 544T786 504Q786 439 747 374T635 226T537 109Q518 81 518 77Q537 76 557 76Q608 76 620 78T640 92Q646 100 656 119T673 155T683 172Q690 173 698 173Q718 173 718 162Q718 161 681 82T642 2Q639 0 550 0H461Q455 5 455 9T458 28Q472 78 510 149T584 276T648 402T677 525Q677 594 636 631T530 668Q476 668 423 641T335 568Q284 499 271 400Q270 388 270 348Q270 298 277 228T285 115Q285 82 280 49T271 6Q269 1 258 1T175 0H87Q83 3 80 7V18Q80 22 82 98Q84 156 85 163T91 172Q94 173 104 173T119 172Q124 169 124 126Q125 104 125 84"],945:[442,11,640,34,603,"34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26"],946:[705,194,566,23,573,"29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431"],947:[441,216,518,11,543,"31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249"],948:[717,10,444,36,451,"195 609Q195 656 227 686T302 717Q319 716 351 709T407 697T433 690Q451 682 451 662Q451 644 438 628T403 612Q382 612 348 641T288 671T249 657T235 628Q235 584 334 463Q401 379 401 292Q401 169 340 80T205 -10H198Q127 -10 83 36T36 153Q36 286 151 382Q191 413 252 434Q252 435 245 449T230 481T214 521T201 566T195 609ZM112 130Q112 83 136 55T204 27Q233 27 256 51T291 111T309 178T316 232Q316 267 309 298T295 344T269 400L259 396Q215 381 183 342T137 256T118 179T112 130"],949:[452,23,466,27,428,"190 -22Q124 -22 76 11T27 107Q27 174 97 232L107 239L99 248Q76 273 76 304Q76 364 144 408T290 452H302Q360 452 405 421Q428 405 428 392Q428 381 417 369T391 356Q382 356 371 365T338 383T283 392Q217 392 167 368T116 308Q116 289 133 272Q142 263 145 262T157 264Q188 278 238 278H243Q308 278 308 247Q308 206 223 206Q177 206 142 219L132 212Q68 169 68 112Q68 39 201 39Q253 39 286 49T328 72T345 94T362 105Q376 103 376 88Q376 79 365 62T334 26T275 -8T190 -22"],950:[704,204,438,44,471,"296 643Q298 704 324 704Q342 704 342 687Q342 682 339 664T336 633Q336 623 337 618T338 611Q339 612 341 612Q343 614 354 616T374 618L384 619H394Q471 619 471 586Q467 548 386 546H372Q338 546 320 564L311 558Q235 506 175 398T114 190Q114 171 116 155T125 127T137 104T153 86T171 72T192 61T213 53T235 46T256 39L322 16Q389 -10 389 -80Q389 -119 364 -154T300 -202Q292 -204 274 -204Q247 -204 225 -196Q210 -192 193 -182T172 -167Q167 -159 173 -148Q180 -139 191 -139Q195 -139 221 -153T283 -168Q298 -166 310 -152T322 -117Q322 -91 302 -75T250 -51T183 -29T116 4T65 62T44 160Q44 287 121 410T293 590L302 595Q296 613 296 643"],951:[443,216,497,21,503,"21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q156 442 175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336V326Q503 302 439 53Q381 -182 377 -189Q364 -216 332 -216Q319 -216 310 -208T299 -186Q299 -177 358 57L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287"],952:[705,10,469,35,462,"35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132"],953:[442,10,354,48,333,"139 -10Q111 -10 92 0T64 25T52 52T48 74Q48 89 55 109T85 199T135 375L137 384Q139 394 140 397T145 409T151 422T160 431T173 439T190 442Q202 442 213 435T225 410Q225 404 214 358T181 238T137 107Q126 74 126 54Q126 43 126 39T130 31T142 27H147Q206 27 255 78Q272 98 281 114T290 138T295 149T313 153Q321 153 324 153T329 152T332 149T332 143Q332 106 276 48T145 -10H139"],954:[442,11,576,48,554,"83 -11Q70 -11 62 -4T51 8T49 17Q49 30 96 217T147 414Q160 442 193 442Q205 441 213 435T223 422T225 412Q225 401 208 337L192 270Q193 269 208 277T235 292Q252 304 306 349T396 412T467 431Q489 431 500 420T512 391Q512 366 494 347T449 327Q430 327 418 338T405 368Q405 370 407 380L397 375Q368 360 315 315L253 266L240 257H245Q262 257 300 251T366 230Q422 203 422 150Q422 140 417 114T411 67Q411 26 437 26Q484 26 513 137Q516 149 519 151T535 153Q554 153 554 144Q554 121 527 64T457 -7Q447 -10 431 -10Q386 -10 360 17T333 90Q333 108 336 122T339 146Q339 170 320 186T271 209T222 218T185 221H180L155 122Q129 22 126 16Q113 -11 83 -11"],955:[694,12,583,47,557,"166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673"],956:[442,216,603,23,580,"58 -216Q44 -216 34 -208T23 -186Q23 -176 96 116T173 414Q186 442 219 442Q231 441 239 435T249 423T251 413Q251 401 220 279T187 142Q185 131 185 107V99Q185 26 252 26Q261 26 270 27T287 31T302 38T315 45T327 55T338 65T348 77T356 88T365 100L372 110L408 253Q444 395 448 404Q461 431 491 431Q504 431 512 424T523 412T525 402L449 84Q448 79 448 68Q448 43 455 35T476 26Q485 27 496 35Q517 55 537 131Q543 151 547 152Q549 153 557 153H561Q580 153 580 144Q580 138 575 117T555 63T523 13Q510 0 491 -8Q483 -10 467 -10Q446 -10 429 -4T402 11T385 29T376 44T374 51L368 45Q362 39 350 30T324 12T288 -4T246 -11Q199 -11 153 12L129 -85Q108 -167 104 -180T92 -202Q76 -216 58 -216"],957:[442,2,494,45,530,"74 431Q75 431 146 436T219 442Q231 442 231 434Q231 428 185 241L137 51H140L150 55Q161 59 177 67T214 86T261 119T312 165Q410 264 445 394Q458 442 496 442Q509 442 519 434T530 411Q530 390 516 352T469 262T388 162T267 70T106 5Q81 -2 71 -2Q66 -2 59 -1T51 1Q45 5 45 11Q45 13 88 188L132 364Q133 377 125 380T86 385H65Q59 391 59 393T61 412Q65 431 74 431"],958:[704,205,438,21,443,"268 632Q268 704 296 704Q314 704 314 687Q314 682 311 664T308 635T309 620V616H315Q342 619 360 619Q443 619 443 586Q439 548 358 546H344Q326 546 317 549T290 566Q257 550 226 505T195 405Q195 381 201 364T211 342T218 337Q266 347 298 347Q375 347 375 314Q374 297 359 288T327 277T280 275Q234 275 208 283L195 286Q149 260 119 214T88 130Q88 116 90 108Q101 79 129 63T229 20Q238 17 243 15Q337 -21 354 -33Q383 -53 383 -94Q383 -137 351 -171T273 -205Q240 -205 202 -190T158 -167Q156 -163 156 -159Q156 -151 161 -146T176 -140Q182 -140 189 -143Q232 -168 274 -168Q286 -168 292 -165Q313 -151 313 -129Q313 -112 301 -104T232 -75Q214 -68 204 -64Q198 -62 171 -52T136 -38T107 -24T78 -8T56 12T36 37T26 66T21 103Q21 149 55 206T145 301L154 307L148 313Q141 319 136 323T124 338T111 358T103 382T99 413Q99 471 143 524T259 602L271 607Q268 618 268 632"],959:[441,11,485,34,476,"201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120"],960:[431,11,570,19,573,"132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11"],961:[442,216,517,23,510,"58 -216Q25 -216 23 -186Q23 -176 73 26T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 219 486 165T425 74T345 13T266 -10H255H248Q197 -10 165 35L160 41L133 -71Q108 -168 104 -181T92 -202Q76 -216 58 -216ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q217 269 193 170L176 102Q193 26 260 26Q298 26 334 62Q367 92 389 158T418 266T424 322"],962:[442,107,363,30,405,"31 207Q31 306 115 374T302 442Q341 442 373 430T405 400Q405 392 399 383T379 374Q373 375 348 390T296 405Q222 405 160 357T98 249Q98 232 103 218T112 195T132 175T154 159T186 141T219 122Q234 114 255 102T286 85T299 78L302 74Q306 71 308 69T315 61T322 51T328 40T332 25T334 8Q334 -31 305 -69T224 -107Q194 -107 163 -92Q156 -88 156 -80Q156 -73 162 -67T178 -61Q186 -61 190 -63Q209 -71 224 -71Q244 -71 253 -59T263 -30Q263 -25 263 -21T260 -12T255 -4T248 3T239 9T227 17T213 25T195 34T174 46Q170 48 150 58T122 74T97 90T70 112T51 137T36 169T31 207"],963:[431,11,571,31,572,"184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278"],964:[431,13,437,18,517,"39 284Q18 284 18 294Q18 301 45 338T99 398Q134 425 164 429Q170 431 332 431Q492 431 497 429Q517 424 517 402Q517 388 508 376T485 360Q479 358 389 358T299 356Q298 355 283 274T251 109T233 20Q228 5 215 -4T186 -13Q153 -13 153 20V30L203 192Q214 228 227 272T248 336L254 357Q254 358 208 358Q206 358 197 358T183 359Q105 359 61 295Q56 287 53 286T39 284"],965:[443,10,540,21,523,"413 384Q413 406 432 424T473 443Q492 443 507 425T523 367Q523 334 508 270T468 153Q424 63 373 27T282 -10H268Q220 -10 186 2T135 36T111 78T104 121Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Q200 441 225 419T250 355Q248 336 247 334Q247 331 232 291T201 199T185 118Q185 68 211 47T275 26Q317 26 355 57T416 132T452 216T465 277Q465 301 457 318T439 343T421 361T413 384"],966:[442,218,654,50,618,"92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278"],967:[443,204,626,24,600,"576 -125Q576 -147 547 -175T487 -204H476Q394 -204 363 -157Q334 -114 293 26L284 59Q283 58 248 19T170 -66T92 -151T53 -191Q49 -194 43 -194Q36 -194 31 -189T25 -177T38 -154T151 -30L272 102L265 131Q189 405 135 405Q104 405 87 358Q86 351 68 351Q48 351 48 361Q48 369 56 386T89 423T148 442Q224 442 258 400Q276 375 297 320T330 222L341 180Q344 180 455 303T573 429Q579 431 582 431Q600 431 600 414Q600 407 587 392T477 270Q356 138 353 134L362 102Q392 -10 428 -89T490 -168Q504 -168 517 -156T536 -126Q539 -116 543 -115T557 -114T571 -115Q576 -118 576 -125"],968:[694,205,651,21,634,"161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441"],969:[443,12,622,15,604,"495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384"],977:[705,11,591,21,563,"537 500Q537 474 533 439T524 383L521 362Q558 355 561 351Q563 349 563 345Q563 321 552 318Q542 318 521 323L510 326Q496 261 459 187T362 51T241 -11Q100 -11 100 105Q100 139 127 242T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Q21 291 27 313T47 368T79 418Q103 442 134 442Q169 442 201 419T233 344Q232 330 206 228T180 98Q180 26 247 26Q292 26 332 90T404 260L427 349Q422 349 398 359T339 392T289 440Q265 476 265 520Q265 590 312 647T417 705Q463 705 491 670T528 592T537 500ZM464 564Q464 668 413 668Q373 668 339 622T304 522Q304 494 317 470T349 431T388 406T421 391T435 387H436L443 415Q450 443 457 485T464 564"],981:[694,205,596,42,579,"409 688Q413 694 421 694H429H442Q448 688 448 686Q448 679 418 563Q411 535 404 504T392 458L388 442Q388 441 397 441T429 435T477 418Q521 397 550 357T579 260T548 151T471 65T374 11T279 -10H275L251 -105Q245 -128 238 -160Q230 -192 227 -198T215 -205H209Q189 -205 189 -198Q189 -193 211 -103L234 -11Q234 -10 226 -10Q221 -10 206 -8T161 6T107 36T62 89T43 171Q43 231 76 284T157 370T254 422T342 441Q347 441 348 445L378 567Q409 686 409 688ZM122 150Q122 116 134 91T167 53T203 35T237 27H244L337 404Q333 404 326 403T297 395T255 379T211 350T170 304Q152 276 137 237Q122 191 122 150ZM500 282Q500 320 484 347T444 385T405 400T381 404H378L332 217L284 29Q284 27 285 27Q293 27 317 33T357 47Q400 66 431 100T475 170T494 234T500 282"],982:[431,10,828,19,823,"206 -10Q158 -10 136 24T114 110Q114 233 199 349L205 358H184Q144 358 121 347Q108 340 95 330T75 312T61 295T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 532 431Q799 431 803 430Q823 423 823 402Q823 377 801 364Q790 358 766 358Q748 358 748 357Q748 355 749 348T752 327T754 297Q754 258 738 207T693 107T618 24T520 -10Q488 -10 466 2T432 36T416 77T411 120Q411 128 410 128T404 122Q373 71 323 31T206 -10ZM714 296Q714 316 707 358H251Q250 357 244 348T230 328T212 301T193 267T176 229T164 187T159 144Q159 62 222 62Q290 62 349 127T432 285Q433 286 434 288T435 291T437 293T440 294T444 294T452 294H466Q472 288 472 286Q472 285 464 244T456 170Q456 62 534 62Q604 62 659 139T714 296"],1009:[442,194,517,67,510,"205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322"],1013:[431,11,406,40,382,"227 -11Q149 -11 95 41T40 174Q40 262 87 322Q121 367 173 396T287 430Q289 431 329 431H367Q382 426 382 411Q382 385 341 385H325H312Q191 385 154 277L150 265H327Q340 256 340 246Q340 228 320 219H138V217Q128 187 128 143Q128 77 160 52T231 26Q258 26 284 36T326 57T343 68Q350 68 354 58T358 39Q358 36 357 35Q354 31 337 21T289 0T227 -11"]};o.FONTDATA.FONTS[m][8722][0]=o.FONTDATA.FONTS[m][43][0];o.FONTDATA.FONTS[m][8722][1]=o.FONTDATA.FONTS[m][43][1];o.FONTDATA.FONTS[m][8942][0]+=400;o.FONTDATA.FONTS[m][8945][0]+=700;MathJax.Hub.Insert(o.FONTDATA.FONTS[m],{8192:[0,0,500,0,0,{space:1}],8193:[0,0,1000,0,0,{space:1}],8194:[0,0,500,0,0,{space:1}],8195:[0,0,1000,0,0,{space:1}],8196:[0,0,333,0,0,{space:1}],8197:[0,0,250,0,0,{space:1}],8198:[0,0,167,0,0,{space:1}],8201:[0,0,167,0,0,{space:1}],8202:[0,0,83,0,0,{space:1}],8203:[0,0,0,0,0,{space:1}],61152:[0,0,-575,0,0,{space:1}],61153:[0,0,-300,0,0,{space:1}],61160:[0,0,25,0,0,{space:1}]});h.Register.StartupHook("SVG Jax Require",function(){h.Register.LoadHook(o.fontDir+"/Size4/Regular/Main.js",function(){o.FONTDATA.FONTS[c][57684][0]+=200;o.FONTDATA.FONTS[c][57684][1]+=200});o.FONTDATA.FONTS[m][8773][2]-=222;h.Register.LoadHook(o.fontDir+"/Main/Bold/MathOperators.js",function(){o.FONTDATA.FONTS[s][8773][2]-=106});h.Register.LoadHook(o.fontDir+"/Typewriter/Regular/BasicLatin.js",function(){o.FONTDATA.FONTS.MathJax_Typewriter[32][2]+=275});r.loadComplete(o.fontDir+"/fontdata.js")})})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
+(function(o,b,r,h){var q="2.7.9";var m="MathJax_Main",s="MathJax_Main-bold",p="MathJax_Math-italic",i="MathJax_AMS",g="MathJax_Size1",f="MathJax_Size2",e="MathJax_Size3",c="MathJax_Size4";var k="H",a="V",l={load:"extra",dir:k},d={load:"extra",dir:a};var t=[[1000,m],[1200,g],[1800,f],[2400,e],[3000,c]];var j=[8722,m,0,0,0,-0.31,-0.31];var n=[61,m,0,0,0,0,0.1];o.Augment({FONTDATA:{version:q,baselineskip:1200,lineH:800,lineD:200,FONTS:{MathJax_Main:"Main/Regular/Main.js","MathJax_Main-bold":"Main/Bold/Main.js","MathJax_Main-italic":"Main/Italic/Main.js","MathJax_Math-italic":"Math/Italic/Main.js","MathJax_Math-bold-italic":"Math/BoldItalic/Main.js",MathJax_Caligraphic:"Caligraphic/Regular/Main.js",MathJax_Size1:"Size1/Regular/Main.js",MathJax_Size2:"Size2/Regular/Main.js",MathJax_Size3:"Size3/Regular/Main.js",MathJax_Size4:"Size4/Regular/Main.js",MathJax_AMS:"AMS/Regular/Main.js",MathJax_Fraktur:"Fraktur/Regular/Main.js","MathJax_Fraktur-bold":"Fraktur/Bold/Main.js",MathJax_SansSerif:"SansSerif/Regular/Main.js","MathJax_SansSerif-bold":"SansSerif/Bold/Main.js","MathJax_SansSerif-italic":"SansSerif/Italic/Main.js",MathJax_Script:"Script/Regular/Main.js",MathJax_Typewriter:"Typewriter/Regular/Main.js","MathJax_Caligraphic-bold":"Caligraphic/Bold/Main.js"},VARIANT:{normal:{fonts:[m,g,i],offsetG:945,variantG:"italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,8214:8741,8726:[8726,"-TeX-variant"],8463:[8463,"-TeX-variant"],8242:[39,"sans-serif-italic"],10744:[47,b.VARIANT.ITALIC]}},bold:{fonts:[s,g,i],bold:true,offsetG:945,variantG:"bold-italic",remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88,10744:[47,"bold-italic"],8214:8741,8602:"\u2190\u0338",8603:"\u2192\u0338",8622:"\u2194\u0338",8653:"\u21D0\u0338",8654:"\u21D4\u0338",8655:"\u21D2\u0338",8708:"\u2203\u0338",8740:"\u2223\u0338",8742:"\u2225\u0338",8769:"\u223C\u0338",8775:"\u2245\u0338",8814:"<\u0338",8815:">\u0338",8816:"\u2264\u0338",8817:"\u2265\u0338",8832:"\u227A\u0338",8833:"\u227B\u0338",8840:"\u2286\u0338",8841:"\u2287\u0338",8876:"\u22A2\u0338",8877:"\u22A8\u0338",8928:"\u227C\u0338",8929:"\u227D\u0338"}},italic:{fonts:[p,"MathJax_Main-italic",m,g,i],italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"bold-italic":{fonts:["MathJax_Math-bold-italic",s,g,i],bold:true,italic:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"double-struck":{fonts:[i,m]},fraktur:{fonts:["MathJax_Fraktur",m,g,i]},"bold-fraktur":{fonts:["MathJax_Fraktur-bold",s,g,i],bold:true},script:{fonts:["MathJax_Script",m,g,i]},"bold-script":{fonts:["MathJax_Script",s,g,i],bold:true},"sans-serif":{fonts:["MathJax_SansSerif",m,g,i]},"bold-sans-serif":{fonts:["MathJax_SansSerif-bold",s,g,i],bold:true},"sans-serif-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,i],italic:true},"sans-serif-bold-italic":{fonts:["MathJax_SansSerif-italic","MathJax_Main-italic",g,i],bold:true,italic:true},monospace:{fonts:["MathJax_Typewriter",m,g,i]},"-tex-caligraphic":{fonts:["MathJax_Caligraphic",m],offsetA:65,variantA:"italic"},"-tex-oldstyle":{fonts:["MathJax_Caligraphic",m]},"-tex-mathit":{fonts:["MathJax_Main-italic",p,m,g,i],italic:true,noIC:true,remap:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,932:84,935:88}},"-TeX-variant":{fonts:[i,m,g],remap:{8808:57356,8809:57357,8816:57361,8817:57358,10887:57360,10888:57359,8740:57350,8742:57351,8840:57366,8841:57368,8842:57370,8843:57371,10955:57367,10956:57369,988:57352,1008:57353,8726:[8726,b.VARIANT.NORMAL],8463:[8463,b.VARIANT.NORMAL]}},"-largeOp":{fonts:[f,g,m]},"-smallOp":{fonts:[g,m]},"-tex-caligraphic-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true,offsetA:65,variantA:"bold-italic"},"-tex-oldstyle-bold":{fonts:["MathJax_Caligraphic-bold","MathJax_Main-bold","MathJax_Main","MathJax_Math","MathJax_Size1"],bold:true}},RANGES:[{name:"alpha",low:97,high:122,offset:"A",add:32},{name:"number",low:48,high:57,offset:"N"},{name:"greek",low:945,high:1014,offset:"G"}],RULECHAR:8722,REMAP:{10:32,160:32,8254:713,8400:8636,8401:8640,8406:8592,8417:8596,8428:8641,8429:8637,8430:8592,8431:8594,8432:42,65079:9182,65080:9183,183:8901,697:8242,978:933,8710:916,8213:8212,8215:95,8226:8729,8260:47,8965:8892,8966:10846,9642:9632,9652:9650,9653:9651,9656:9654,9662:9660,9663:9661,9666:9664,9001:10216,9002:10217,12296:10216,12297:10217,10072:8739,10799:215,9723:9633,9724:9632,8450:[67,b.VARIANT.DOUBLESTRUCK],8459:[72,b.VARIANT.SCRIPT],8460:[72,b.VARIANT.FRAKTUR],8461:[72,b.VARIANT.DOUBLESTRUCK],8462:[104,b.VARIANT.ITALIC],8464:[74,b.VARIANT.SCRIPT],8465:[73,b.VARIANT.FRAKTUR],8466:[76,b.VARIANT.SCRIPT],8469:[78,b.VARIANT.DOUBLESTRUCK],8473:[80,b.VARIANT.DOUBLESTRUCK],8474:[81,b.VARIANT.DOUBLESTRUCK],8475:[82,b.VARIANT.SCRIPT],8476:[82,b.VARIANT.FRAKTUR],8477:[82,b.VARIANT.DOUBLESTRUCK],8484:[90,b.VARIANT.DOUBLESTRUCK],8486:[937,b.VARIANT.NORMAL],8488:[90,b.VARIANT.FRAKTUR],8492:[66,b.VARIANT.SCRIPT],8493:[67,b.VARIANT.FRAKTUR],8496:[69,b.VARIANT.SCRIPT],8497:[70,b.VARIANT.SCRIPT],8499:[77,b.VARIANT.SCRIPT],8775:8774,8988:9484,8989:9488,8990:9492,8991:9496,8708:"\u2203\u0338",8716:"\u220B\u0338",8772:"\u2243\u0338",8777:"\u2248\u0338",8802:"\u2261\u0338",8813:"\u224D\u0338",8820:"\u2272\u0338",8821:"\u2273\u0338",8824:"\u2276\u0338",8825:"\u2277\u0338",8836:"\u2282\u0338",8837:"\u2283\u0338",8930:"\u2291\u0338",8931:"\u2292\u0338",10764:"\u222C\u222C",8243:"\u2032\u2032",8244:"\u2032\u2032\u2032",8246:"\u2035\u2035",8247:"\u2035\u2035\u2035",8279:"\u2032\u2032\u2032\u2032",8411:"...",8412:"...."},REMAPACCENT:{"\u2192":"\u20D7","\u2032":"'","\u2035":"`"},REMAPACCENTUNDER:{},PLANE1MAP:[[119808,119833,65,b.VARIANT.BOLD],[119834,119859,97,b.VARIANT.BOLD],[119860,119885,65,b.VARIANT.ITALIC],[119886,119911,97,b.VARIANT.ITALIC],[119912,119937,65,b.VARIANT.BOLDITALIC],[119938,119963,97,b.VARIANT.BOLDITALIC],[119964,119989,65,b.VARIANT.SCRIPT],[120068,120093,65,b.VARIANT.FRAKTUR],[120094,120119,97,b.VARIANT.FRAKTUR],[120120,120145,65,b.VARIANT.DOUBLESTRUCK],[120172,120197,65,b.VARIANT.BOLDFRAKTUR],[120198,120223,97,b.VARIANT.BOLDFRAKTUR],[120224,120249,65,b.VARIANT.SANSSERIF],[120250,120275,97,b.VARIANT.SANSSERIF],[120276,120301,65,b.VARIANT.BOLDSANSSERIF],[120302,120327,97,b.VARIANT.BOLDSANSSERIF],[120328,120353,65,b.VARIANT.SANSSERIFITALIC],[120354,120379,97,b.VARIANT.SANSSERIFITALIC],[120432,120457,65,b.VARIANT.MONOSPACE],[120458,120483,97,b.VARIANT.MONOSPACE],[120488,120513,913,b.VARIANT.BOLD],[120546,120570,913,b.VARIANT.ITALIC],[120572,120603,945,b.VARIANT.ITALIC],[120604,120628,913,b.VARIANT.BOLDITALIC],[120630,120661,945,b.VARIANT.BOLDITALIC],[120662,120686,913,b.VARIANT.BOLDSANSSERIF],[120720,120744,913,b.VARIANT.SANSSERIFBOLDITALIC],[120782,120791,48,b.VARIANT.BOLD],[120802,120811,48,b.VARIANT.SANSSERIF],[120812,120821,48,b.VARIANT.BOLDSANSSERIF],[120822,120831,48,b.VARIANT.MONOSPACE]],REMAPGREEK:{913:65,914:66,917:69,918:90,919:72,921:73,922:75,924:77,925:78,927:79,929:80,930:920,932:84,935:88,938:8711,970:8706,971:1013,972:977,973:1008,974:981,975:1009,976:982},RemapPlane1:function(x,w){for(var v=0,u=this.PLANE1MAP.length;v<u;v++){if(x<this.PLANE1MAP[v][0]){break}if(x<=this.PLANE1MAP[v][1]){x=x-this.PLANE1MAP[v][0]+this.PLANE1MAP[v][2];if(this.REMAPGREEK[x]){x=this.REMAPGREEK[x]}w=this.VARIANT[this.PLANE1MAP[v][3]];break}}return{n:x,variant:w}},DELIMITERS:{40:{dir:a,HW:t,stretch:{top:[9115,c],ext:[9116,c],bot:[9117,c]}},41:{dir:a,HW:t,stretch:{top:[9118,c],ext:[9119,c],bot:[9120,c]}},47:{dir:a,HW:t},91:{dir:a,HW:t,stretch:{top:[9121,c],ext:[9122,c],bot:[9123,c]}},92:{dir:a,HW:t},93:{dir:a,HW:t,stretch:{top:[9124,c],ext:[9125,c],bot:[9126,c]}},123:{dir:a,HW:t,stretch:{top:[9127,c],mid:[9128,c],bot:[9129,c],ext:[9130,c]}},124:{dir:a,HW:[[1000,m]],stretch:{ext:[8739,m]}},125:{dir:a,HW:t,stretch:{top:[9131,c],mid:[9132,c],bot:[9133,c],ext:[9130,c]}},175:{dir:k,HW:[[0.59,m]],stretch:{rep:[175,m]}},710:{dir:k,HW:[[267+250,m],[567+250,g],[1005+330,f],[1447+330,e],[1909,c]]},732:{dir:k,HW:[[333+250,m],[555+250,g],[1000+330,f],[1443+330,e],[1887,c]]},8211:{dir:k,HW:[[500,m]],stretch:{rep:[8211,m]}},8214:{dir:a,HW:[[602,g],[1000,m,null,8741]],stretch:{ext:[8741,m]}},8592:{dir:k,HW:[[1000,m]],stretch:{left:[8592,m],rep:j,fuzz:300}},8593:{dir:a,HW:[[888,m]],stretch:{top:[8593,g],ext:[9168,g]}},8594:{dir:k,HW:[[1000,m]],stretch:{rep:j,right:[8594,m],fuzz:300}},8595:{dir:a,HW:[[888,m]],stretch:{ext:[9168,g],bot:[8595,g]}},8596:{dir:k,HW:[[1000,m]],stretch:{left:[8592,m],rep:j,right:[8594,m],fuzz:300}},8597:{dir:a,HW:[[1044,m]],stretch:{top:[8593,g],ext:[9168,g],bot:[8595,g]}},8656:{dir:k,HW:[[1000,m]],stretch:{left:[8656,m],rep:n,fuzz:300}},8657:{dir:a,HW:[[888,m]],stretch:{top:[8657,g],ext:[8214,g]}},8658:{dir:k,HW:[[1000,m]],stretch:{rep:n,right:[8658,m],fuzz:300}},8659:{dir:a,HW:[[888,m]],stretch:{ext:[8214,g],bot:[8659,g]}},8660:{dir:k,HW:[[1000,m]],stretch:{left:[8656,m],rep:n,right:[8658,m],fuzz:300}},8661:{dir:a,HW:[[1044,m]],stretch:{top:[8657,g],ext:[8214,g],bot:[8659,g]}},8722:{dir:k,HW:[[0.5,m,0,8211]],stretch:{rep:j,fuzz:300}},8730:{dir:a,HW:t,stretch:{top:[57345,c],ext:[57344,c],bot:[9143,c],fullExtenders:true}},8739:{dir:a,HW:[[1000,m]],stretch:{ext:[8739,m]}},8741:{dir:a,HW:[[1000,m]],stretch:{ext:[8741,m]}},8968:{dir:a,HW:t,stretch:{top:[9121,c],ext:[9122,c]}},8969:{dir:a,HW:t,stretch:{top:[9124,c],ext:[9125,c]}},8970:{dir:a,HW:t,stretch:{ext:[9122,c],bot:[9123,c]}},8971:{dir:a,HW:t,stretch:{ext:[9125,c],bot:[9126,c]}},9130:{dir:a,HW:[[320,c]],stretch:{top:[9130,c],ext:[9130,c],bot:[9130,c]}},9136:{dir:a,HW:[[989,m]],stretch:{top:[9127,c],ext:[9130,c],bot:[9133,c]}},9137:{dir:a,HW:[[989,m]],stretch:{top:[9131,c],ext:[9130,c],bot:[9129,c]}},9168:{dir:a,HW:[[602,g],[1000,m,null,8739]],stretch:{ext:[8739,m]}},9182:{dir:k,HW:[],stretch:{min:0.9,left:[57680,c],mid:[[57683,57682],c],right:[57681,c],rep:[57684,c]}},9183:{dir:k,HW:[],stretch:{min:0.9,left:[57682,c],mid:[[57681,57680],c],right:[57683,c],rep:[57684,c]}},10216:{dir:a,HW:t},10217:{dir:a,HW:t},10222:{dir:a,HW:[[989,m]],stretch:{top:[9127,c],ext:[9130,c],bot:[9129,c]}},10223:{dir:a,HW:[[989,m]],stretch:{top:[9131,c],ext:[9130,c],bot:[9133,c]}},45:{alias:8722,dir:k},94:{alias:710,dir:k},95:{alias:8211,dir:k},126:{alias:732,dir:k},713:{alias:175,dir:k},770:{alias:710,dir:k},771:{alias:732,dir:k},780:{alias:711,dir:k},818:{alias:8211,dir:k},8212:{alias:8211,dir:k},8213:{alias:8211,dir:k},8215:{alias:8211,dir:k},8254:{alias:175,dir:k},8407:{alias:8594,dir:k},8725:{alias:47,dir:a},9001:{alias:10216,dir:a},9002:{alias:10217,dir:a},9135:{alias:8211,dir:k},9472:{alias:8211,dir:k},10072:{alias:8739,dir:a},12296:{alias:10216,dir:a},12297:{alias:10217,dir:a},65079:{alias:9182,dir:k},65080:{alias:9183,dir:k},61:l,8606:l,8608:l,8612:l,8613:d,8614:l,8615:d,8624:d,8625:d,8636:l,8637:l,8638:d,8639:d,8640:l,8641:l,8642:d,8643:d,8666:l,8667:l,9140:l,9141:l,9180:l,9181:l,9184:l,9185:l,10502:l,10503:l,10574:l,10575:d,10576:l,10577:d,10586:l,10587:l,10588:d,10589:d,10590:l,10591:l,10592:d,10593:d,8978:{alias:9180,dir:k},8994:{alias:9180,dir:k},8995:{alias:9181,dir:k},10229:{alias:8592,dir:k},10230:{alias:8594,dir:k},10231:{alias:8596,dir:k},10232:{alias:8656,dir:k},10233:{alias:8658,dir:k},10234:{alias:8660,dir:k},10235:{alias:8612,dir:k},10236:{alias:8614,dir:k},10237:{alias:10502,dir:k},10238:{alias:10503,dir:k}}}});o.FONTDATA.FONTS.MathJax_Main={directory:"Main/Regular",family:"MathJax_Main",id:"MJMAIN",skew:{305:0.0278,567:0.0833,8467:0.111,8472:0.111,8706:0.0833},Ranges:[[32,127,"BasicLatin"],[256,383,"LatinExtendedA"],[384,591,"LatinExtendedB"],[688,767,"SpacingModLetters"],[768,879,"CombDiacritMarks"],[880,1023,"GreekAndCoptic"],[8448,8527,"LetterlikeSymbols"],[9632,9727,"GeometricShapes"],[9728,9983,"MiscSymbols"],[10752,11007,"SuppMathOperators"]],32:[0,0,250,0,0,""],40:[750,250,389,94,333,"94 250Q94 319 104 381T127 488T164 576T202 643T244 695T277 729T302 750H315H319Q333 750 333 741Q333 738 316 720T275 667T226 581T184 443T167 250T184 58T225 -81T274 -167T316 -220T333 -241Q333 -250 318 -250H315H302L274 -226Q180 -141 137 -14T94 250"],41:[750,250,389,55,294,"60 749L64 750Q69 750 74 750H86L114 726Q208 641 251 514T294 250Q294 182 284 119T261 12T224 -76T186 -143T145 -194T113 -227T90 -246Q87 -249 86 -250H74Q66 -250 63 -250T58 -247T55 -238Q56 -237 66 -225Q221 -64 221 250T66 725Q56 737 55 738Q55 746 60 749"],43:[583,82,778,56,722,"56 237T56 250T70 270H369V420L370 570Q380 583 389 583Q402 583 409 568V270H707Q722 262 722 250T707 230H409V-68Q401 -82 391 -82H389H387Q375 -82 369 -68V230H70Q56 237 56 250"],44:[121,195,278,78,210,"78 35T78 60T94 103T137 121Q165 121 187 96T210 8Q210 -27 201 -60T180 -117T154 -158T130 -185T117 -194Q113 -194 104 -185T95 -172Q95 -168 106 -156T131 -126T157 -76T173 -3V9L172 8Q170 7 167 6T161 3T152 1T140 0Q113 0 96 17"],46:[120,0,278,78,199,"78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60"],47:[750,250,500,56,444,"423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750"],48:[666,22,500,39,460,"96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597"],49:[666,0,500,83,427,"213 578L200 573Q186 568 160 563T102 556H83V602H102Q149 604 189 617T245 641T273 663Q275 666 285 666Q294 666 302 660V361L303 61Q310 54 315 52T339 48T401 46H427V0H416Q395 3 257 3Q121 3 100 0H88V46H114Q136 46 152 46T177 47T193 50T201 52T207 57T213 61V578"],50:[666,0,500,50,449,"109 429Q82 429 66 447T50 491Q50 562 103 614T235 666Q326 666 387 610T449 465Q449 422 429 383T381 315T301 241Q265 210 201 149L142 93L218 92Q375 92 385 97Q392 99 409 186V189H449V186Q448 183 436 95T421 3V0H50V19V31Q50 38 56 46T86 81Q115 113 136 137Q145 147 170 174T204 211T233 244T261 278T284 308T305 340T320 369T333 401T340 431T343 464Q343 527 309 573T212 619Q179 619 154 602T119 569T109 550Q109 549 114 549Q132 549 151 535T170 489Q170 464 154 447T109 429"],51:[665,22,500,42,457,"127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463"],52:[677,0,500,28,471,"462 0Q444 3 333 3Q217 3 199 0H190V46H221Q241 46 248 46T265 48T279 53T286 61Q287 63 287 115V165H28V211L179 442Q332 674 334 675Q336 677 355 677H373L379 671V211H471V165H379V114Q379 73 379 66T385 54Q393 47 442 46H471V0H462ZM293 211V545L74 212L183 211H293"],53:[666,22,500,50,449,"164 157Q164 133 148 117T109 101H102Q148 22 224 22Q294 22 326 82Q345 115 345 210Q345 313 318 349Q292 382 260 382H254Q176 382 136 314Q132 307 129 306T114 304Q97 304 95 310Q93 314 93 485V614Q93 664 98 664Q100 666 102 666Q103 666 123 658T178 642T253 634Q324 634 389 662Q397 666 402 666Q410 666 410 648V635Q328 538 205 538Q174 538 149 544L139 546V374Q158 388 169 396T205 412T256 420Q337 420 393 355T449 201Q449 109 385 44T229 -22Q148 -22 99 32T50 154Q50 178 61 192T84 210T107 214Q132 214 148 197T164 157"],54:[666,22,500,41,456,"42 313Q42 476 123 571T303 666Q372 666 402 630T432 550Q432 525 418 510T379 495Q356 495 341 509T326 548Q326 592 373 601Q351 623 311 626Q240 626 194 566Q147 500 147 364L148 360Q153 366 156 373Q197 433 263 433H267Q313 433 348 414Q372 400 396 374T435 317Q456 268 456 210V192Q456 169 451 149Q440 90 387 34T253 -22Q225 -22 199 -14T143 16T92 75T56 172T42 313ZM257 397Q227 397 205 380T171 335T154 278T148 216Q148 133 160 97T198 39Q222 21 251 21Q302 21 329 59Q342 77 347 104T352 209Q352 289 347 316T329 361Q302 397 257 397"],55:[676,22,500,55,485,"55 458Q56 460 72 567L88 674Q88 676 108 676H128V672Q128 662 143 655T195 646T364 644H485V605L417 512Q408 500 387 472T360 435T339 403T319 367T305 330T292 284T284 230T278 162T275 80Q275 66 275 52T274 28V19Q270 2 255 -10T221 -22Q210 -22 200 -19T179 0T168 40Q168 198 265 368Q285 400 349 489L395 552H302Q128 552 119 546Q113 543 108 522T98 479L95 458V455H55V458"],56:[666,22,500,43,457,"70 417T70 494T124 618T248 666Q319 666 374 624T429 515Q429 485 418 459T392 417T361 389T335 371T324 363L338 354Q352 344 366 334T382 323Q457 264 457 174Q457 95 399 37T249 -22Q159 -22 101 29T43 155Q43 263 172 335L154 348Q133 361 127 368Q70 417 70 494ZM286 386L292 390Q298 394 301 396T311 403T323 413T334 425T345 438T355 454T364 471T369 491T371 513Q371 556 342 586T275 624Q268 625 242 625Q201 625 165 599T128 534Q128 511 141 492T167 463T217 431Q224 426 228 424L286 386ZM250 21Q308 21 350 55T392 137Q392 154 387 169T375 194T353 216T330 234T301 253T274 270Q260 279 244 289T218 306L210 311Q204 311 181 294T133 239T107 157Q107 98 150 60T250 21"],57:[666,22,500,42,456,"352 287Q304 211 232 211Q154 211 104 270T44 396Q42 412 42 436V444Q42 537 111 606Q171 666 243 666Q245 666 249 666T257 665H261Q273 665 286 663T323 651T370 619T413 560Q456 472 456 334Q456 194 396 97Q361 41 312 10T208 -22Q147 -22 108 7T68 93T121 149Q143 149 158 135T173 96Q173 78 164 65T148 49T135 44L131 43Q131 41 138 37T164 27T206 22H212Q272 22 313 86Q352 142 352 280V287ZM244 248Q292 248 321 297T351 430Q351 508 343 542Q341 552 337 562T323 588T293 615T246 625Q208 625 181 598Q160 576 154 546T147 441Q147 358 152 329T172 282Q197 248 244 248"],58:[430,0,278,78,199,"78 370Q78 394 95 412T138 430Q162 430 180 414T199 371Q199 346 182 328T139 310T96 327T78 370ZM78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60"],59:[430,194,278,78,202,"78 370Q78 394 95 412T138 430Q162 430 180 414T199 371Q199 346 182 328T139 310T96 327T78 370ZM78 60Q78 85 94 103T137 121Q202 121 202 8Q202 -44 183 -94T144 -169T118 -194Q115 -194 106 -186T95 -174Q94 -171 107 -155T137 -107T160 -38Q161 -32 162 -22T165 -4T165 4Q165 5 161 4T142 0Q110 0 94 18T78 60"],60:[540,40,778,83,695,"694 -11T694 -19T688 -33T678 -40Q671 -40 524 29T234 166L90 235Q83 240 83 250Q83 261 91 266Q664 540 678 540Q681 540 687 534T694 519T687 505Q686 504 417 376L151 250L417 124Q686 -4 687 -5Q694 -11 694 -19"],61:[367,-133,778,56,722,"56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153"],62:[540,40,778,82,694,"84 520Q84 528 88 533T96 539L99 540Q106 540 253 471T544 334L687 265Q694 260 694 250T687 235Q685 233 395 96L107 -40H101Q83 -38 83 -20Q83 -19 83 -17Q82 -10 98 -1Q117 9 248 71Q326 108 378 132L626 250L378 368Q90 504 86 509Q84 513 84 520"],91:[750,250,278,118,255,"118 -250V750H255V710H158V-210H255V-250H118"],92:[750,250,500,56,444,"56 731Q56 740 62 745T75 750Q85 750 92 740Q96 733 270 255T444 -231Q444 -239 438 -244T424 -250Q414 -250 407 -240Q404 -236 230 242T56 731"],93:[750,250,278,22,159,"22 710V750H159V-250H22V-210H119V710H22"],94:[694,-531,500,112,387,"112 560L249 694L257 686Q387 562 387 560L361 531Q359 532 303 581L250 627L195 580Q182 569 169 557T148 538L140 532Q138 530 125 546L112 560"],97:[448,11,500,34,493,"137 305T115 305T78 320T63 359Q63 394 97 421T218 448Q291 448 336 416T396 340Q401 326 401 309T402 194V124Q402 76 407 58T428 40Q443 40 448 56T453 109V145H493V106Q492 66 490 59Q481 29 455 12T400 -6T353 12T329 54V58L327 55Q325 52 322 49T314 40T302 29T287 17T269 6T247 -2T221 -8T190 -11Q130 -11 82 20T34 107Q34 128 41 147T68 188T116 225T194 253T304 268H318V290Q318 324 312 340Q290 411 215 411Q197 411 181 410T156 406T148 403Q170 388 170 359Q170 334 154 320ZM126 106Q126 75 150 51T209 26Q247 26 276 49T315 109Q317 116 318 175Q318 233 317 233Q309 233 296 232T251 223T193 203T147 166T126 106"],98:[695,11,556,20,522,"307 -11Q234 -11 168 55L158 37Q156 34 153 28T147 17T143 10L138 1L118 0H98V298Q98 599 97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V543Q179 391 180 391L183 394Q186 397 192 401T207 411T228 421T254 431T286 439T323 442Q401 442 461 379T522 216Q522 115 458 52T307 -11ZM182 98Q182 97 187 90T196 79T206 67T218 55T233 44T250 35T271 29T295 26Q330 26 363 46T412 113Q424 148 424 212Q424 287 412 323Q385 405 300 405Q270 405 239 390T188 347L182 339V98"],99:[448,12,444,34,415,"370 305T349 305T313 320T297 358Q297 381 312 396Q317 401 317 402T307 404Q281 408 258 408Q209 408 178 376Q131 329 131 219Q131 137 162 90Q203 29 272 29Q313 29 338 55T374 117Q376 125 379 127T395 129H409Q415 123 415 120Q415 116 411 104T395 71T366 33T318 2T249 -11Q163 -11 99 53T34 214Q34 318 99 383T250 448T370 421T404 357Q404 334 387 320"],100:[695,11,556,34,535,"376 495Q376 511 376 535T377 568Q377 613 367 624T316 637H298V660Q298 683 300 683L310 684Q320 685 339 686T376 688Q393 689 413 690T443 693T454 694H457V390Q457 84 458 81Q461 61 472 55T517 46H535V0Q533 0 459 -5T380 -11H373V44L365 37Q307 -11 235 -11Q158 -11 96 50T34 215Q34 315 97 378T244 442Q319 442 376 393V495ZM373 342Q328 405 260 405Q211 405 173 369Q146 341 139 305T131 211Q131 155 138 120T173 59Q203 26 251 26Q322 26 373 103V342"],101:[448,11,444,28,415,"28 218Q28 273 48 318T98 391T163 433T229 448Q282 448 320 430T378 380T406 316T415 245Q415 238 408 231H126V216Q126 68 226 36Q246 30 270 30Q312 30 342 62Q359 79 369 104L379 128Q382 131 395 131H398Q415 131 415 121Q415 117 412 108Q393 53 349 21T250 -11Q155 -11 92 58T28 218ZM333 275Q322 403 238 411H236Q228 411 220 410T195 402T166 381T143 340T127 274V267H333V275"],102:[705,0,306,26,372,"273 0Q255 3 146 3Q43 3 34 0H26V46H42Q70 46 91 49Q99 52 103 60Q104 62 104 224V385H33V431H104V497L105 564L107 574Q126 639 171 668T266 704Q267 704 275 704T289 705Q330 702 351 679T372 627Q372 604 358 590T321 576T284 590T270 627Q270 647 288 667H284Q280 668 273 668Q245 668 223 647T189 592Q183 572 182 497V431H293V385H185V225Q185 63 186 61T189 57T194 54T199 51T206 49T213 48T222 47T231 47T241 46T251 46H282V0H273"],103:[453,206,500,29,485,"329 409Q373 453 429 453Q459 453 472 434T485 396Q485 382 476 371T449 360Q416 360 412 390Q410 404 415 411Q415 412 416 414V415Q388 412 363 393Q355 388 355 386Q355 385 359 381T368 369T379 351T388 325T392 292Q392 230 343 187T222 143Q172 143 123 171Q112 153 112 133Q112 98 138 81Q147 75 155 75T227 73Q311 72 335 67Q396 58 431 26Q470 -13 470 -72Q470 -139 392 -175Q332 -206 250 -206Q167 -206 107 -175Q29 -140 29 -75Q29 -39 50 -15T92 18L103 24Q67 55 67 108Q67 155 96 193Q52 237 52 292Q52 355 102 398T223 442Q274 442 318 416L329 409ZM299 343Q294 371 273 387T221 404Q192 404 171 388T145 343Q142 326 142 292Q142 248 149 227T179 192Q196 182 222 182Q244 182 260 189T283 207T294 227T299 242Q302 258 302 292T299 343ZM403 -75Q403 -50 389 -34T348 -11T299 -2T245 0H218Q151 0 138 -6Q118 -15 107 -34T95 -74Q95 -84 101 -97T122 -127T170 -155T250 -167Q319 -167 361 -139T403 -75"],104:[695,0,556,25,542,"41 46H55Q94 46 102 60V68Q102 77 102 91T102 124T102 167T103 217T103 272T103 329Q103 366 103 407T103 482T102 542T102 586T102 603Q99 622 88 628T43 637H25V660Q25 683 27 683L37 684Q47 685 66 686T103 688Q120 689 140 690T170 693T181 694H184V367Q244 442 328 442Q451 442 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41"],105:[669,0,278,26,255,"69 609Q69 637 87 653T131 669Q154 667 171 652T188 609Q188 579 171 564T129 549Q104 549 87 564T69 609ZM247 0Q232 3 143 3Q132 3 106 3T56 1L34 0H26V46H42Q70 46 91 49Q100 53 102 60T104 102V205V293Q104 345 102 359T88 378Q74 385 41 385H30V408Q30 431 32 431L42 432Q52 433 70 434T106 436Q123 437 142 438T171 441T182 442H185V62Q190 52 197 50T232 46H255V0H247"],106:[669,205,306,-55,218,"98 609Q98 637 116 653T160 669Q183 667 200 652T217 609Q217 579 200 564T158 549Q133 549 116 564T98 609ZM28 -163Q58 -168 64 -168Q124 -168 135 -77Q137 -65 137 141T136 353Q132 371 120 377T72 385H52V408Q52 431 54 431L58 432Q62 432 70 432T87 433T108 434T133 436Q151 437 171 438T202 441T214 442H218V184Q217 -36 217 -59T211 -98Q195 -145 153 -175T58 -205Q9 -205 -23 -179T-55 -117Q-55 -94 -40 -79T-2 -64T36 -79T52 -118Q52 -143 28 -163"],107:[695,0,528,20,511,"36 46H50Q89 46 97 60V68Q97 77 97 91T97 124T98 167T98 217T98 272T98 329Q98 366 98 407T98 482T98 542T97 586T97 603Q94 622 83 628T38 637H20V660Q20 683 22 683L32 684Q42 685 61 686T98 688Q115 689 135 690T165 693T176 694H179V463L180 233L240 287Q300 341 304 347Q310 356 310 364Q310 383 289 385H284V431H293Q308 428 412 428Q475 428 484 431H489V385H476Q407 380 360 341Q286 278 286 274Q286 273 349 181T420 79Q434 60 451 53T500 46H511V0H505Q496 3 418 3Q322 3 307 0H299V46H306Q330 48 330 65Q330 72 326 79Q323 84 276 153T228 222L176 176V120V84Q176 65 178 59T189 49Q210 46 238 46H254V0H246Q231 3 137 3T28 0H20V46H36"],108:[695,0,278,26,263,"42 46H56Q95 46 103 60V68Q103 77 103 91T103 124T104 167T104 217T104 272T104 329Q104 366 104 407T104 482T104 542T103 586T103 603Q100 622 89 628T44 637H26V660Q26 683 28 683L38 684Q48 685 67 686T104 688Q121 689 141 690T171 693T182 694H185V379Q185 62 186 60Q190 52 198 49Q219 46 247 46H263V0H255L232 1Q209 2 183 2T145 3T107 3T57 1L34 0H26V46H42"],109:[443,0,833,25,819,"41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q351 442 364 440T387 434T406 426T421 417T432 406T441 395T448 384T452 374T455 366L457 361L460 365Q463 369 466 373T475 384T488 397T503 410T523 422T546 432T572 439T603 442Q729 442 740 329Q741 322 741 190V104Q741 66 743 59T754 49Q775 46 803 46H819V0H811L788 1Q764 2 737 2T699 3Q596 3 587 0H579V46H595Q656 46 656 62Q657 64 657 200Q656 335 655 343Q649 371 635 385T611 402T585 404Q540 404 506 370Q479 343 472 315T464 232V168V108Q464 78 465 68T468 55T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41"],110:[443,0,556,25,542,"41 46H55Q94 46 102 60V68Q102 77 102 91T102 122T103 161T103 203Q103 234 103 269T102 328V351Q99 370 88 376T43 385H25V408Q25 431 27 431L37 432Q47 433 65 434T102 436Q119 437 138 438T167 441T178 442H181V402Q181 364 182 364T187 369T199 384T218 402T247 421T285 437Q305 442 336 442Q450 438 463 329Q464 322 464 190V104Q464 66 466 59T477 49Q498 46 526 46H542V0H534L510 1Q487 2 460 2T422 3Q319 3 310 0H302V46H318Q379 46 379 62Q380 64 380 200Q379 335 378 343Q372 371 358 385T334 402T308 404Q263 404 229 370Q202 343 195 315T187 232V168V108Q187 78 188 68T191 55T200 49Q221 46 249 46H265V0H257L234 1Q210 2 183 2T145 3Q42 3 33 0H25V46H41"],111:[448,10,500,28,471,"28 214Q28 309 93 378T250 448Q340 448 405 380T471 215Q471 120 407 55T250 -10Q153 -10 91 57T28 214ZM250 30Q372 30 372 193V225V250Q372 272 371 288T364 326T348 362T317 390T268 410Q263 411 252 411Q222 411 195 399Q152 377 139 338T126 246V226Q126 130 145 91Q177 30 250 30"],112:[443,194,556,20,522,"36 -148H50Q89 -148 97 -134V-126Q97 -119 97 -107T97 -77T98 -38T98 6T98 55T98 106Q98 140 98 177T98 243T98 296T97 335T97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 61 434T98 436Q115 437 135 438T165 441T176 442H179V416L180 390L188 397Q247 441 326 441Q407 441 464 377T522 216Q522 115 457 52T310 -11Q242 -11 190 33L182 40V-45V-101Q182 -128 184 -134T195 -145Q216 -148 244 -148H260V-194H252L228 -193Q205 -192 178 -192T140 -191Q37 -191 28 -194H20V-148H36ZM424 218Q424 292 390 347T305 402Q234 402 182 337V98Q222 26 294 26Q345 26 384 80T424 218"],113:[442,194,528,33,535,"33 218Q33 308 95 374T236 441H246Q330 441 381 372L387 364Q388 364 404 403L420 442H457V156Q457 -132 458 -134Q462 -142 470 -145Q491 -148 519 -148H535V-194H527L504 -193Q480 -192 453 -192T415 -191Q312 -191 303 -194H295V-148H311Q339 -148 360 -145Q369 -141 371 -135T373 -106V-41V49Q313 -11 236 -11Q154 -11 94 53T33 218ZM376 300Q346 389 278 401Q275 401 269 401T261 402Q211 400 171 350T131 214Q131 137 165 82T253 27Q296 27 328 54T376 118V300"],114:[443,0,392,20,364,"36 46H50Q89 46 97 60V68Q97 77 97 91T98 122T98 161T98 203Q98 234 98 269T98 328L97 351Q94 370 83 376T38 385H20V408Q20 431 22 431L32 432Q42 433 60 434T96 436Q112 437 131 438T160 441T171 442H174V373Q213 441 271 441H277Q322 441 343 419T364 373Q364 352 351 337T313 322Q288 322 276 338T263 372Q263 381 265 388T270 400T273 405Q271 407 250 401Q234 393 226 386Q179 341 179 207V154Q179 141 179 127T179 101T180 81T180 66V61Q181 59 183 57T188 54T193 51T200 49T207 48T216 47T225 47T235 46T245 46H276V0H267Q249 3 140 3Q37 3 28 0H20V46H36"],115:[448,11,394,33,359,"295 316Q295 356 268 385T190 414Q154 414 128 401Q98 382 98 349Q97 344 98 336T114 312T157 287Q175 282 201 278T245 269T277 256Q294 248 310 236T342 195T359 133Q359 71 321 31T198 -10H190Q138 -10 94 26L86 19L77 10Q71 4 65 -1L54 -11H46H42Q39 -11 33 -5V74V132Q33 153 35 157T45 162H54Q66 162 70 158T75 146T82 119T101 77Q136 26 198 26Q295 26 295 104Q295 133 277 151Q257 175 194 187T111 210Q75 227 54 256T33 318Q33 357 50 384T93 424T143 442T187 447H198Q238 447 268 432L283 424L292 431Q302 440 314 448H322H326Q329 448 335 442V310L329 304H301Q295 310 295 316"],116:[615,10,389,18,333,"27 422Q80 426 109 478T141 600V615H181V431H316V385H181V241Q182 116 182 100T189 68Q203 29 238 29Q282 29 292 100Q293 108 293 146V181H333V146V134Q333 57 291 17Q264 -10 221 -10Q187 -10 162 2T124 33T105 68T98 100Q97 107 97 248V385H18V422H27"],117:[443,11,556,25,542,"383 58Q327 -10 256 -10H249Q124 -10 105 89Q104 96 103 226Q102 335 102 348T96 369Q86 385 36 385H25V408Q25 431 27 431L38 432Q48 433 67 434T105 436Q122 437 142 438T172 441T184 442H187V261Q188 77 190 64Q193 49 204 40Q224 26 264 26Q290 26 311 35T343 58T363 90T375 120T379 144Q379 145 379 161T380 201T380 248V315Q380 361 370 372T320 385H302V431Q304 431 378 436T457 442H464V264Q464 84 465 81Q468 61 479 55T524 46H542V0Q540 0 467 -5T390 -11H383V58"],118:[431,11,528,19,508,"338 431Q344 429 422 429Q479 429 503 431H508V385H497Q439 381 423 345Q421 341 356 172T288 -2Q283 -11 263 -11Q244 -11 239 -2Q99 359 98 364Q93 378 82 381T43 385H19V431H25L33 430Q41 430 53 430T79 430T104 429T122 428Q217 428 232 431H240V385H226Q187 384 184 370Q184 366 235 234L286 102L377 341V349Q377 363 367 372T349 383T335 385H331V431H338"],119:[431,11,722,18,703,"90 368Q84 378 76 380T40 385H18V431H24L43 430Q62 430 84 429T116 428Q206 428 221 431H229V385H215Q177 383 177 368Q177 367 221 239L265 113L339 328L333 345Q323 374 316 379Q308 384 278 385H258V431H264Q270 428 348 428Q439 428 454 431H461V385H452Q404 385 404 369Q404 366 418 324T449 234T481 143L496 100L537 219Q579 341 579 347Q579 363 564 373T530 385H522V431H529Q541 428 624 428Q692 428 698 431H703V385H697Q696 385 691 385T682 384Q635 377 619 334L559 161Q546 124 528 71Q508 12 503 1T487 -11H479Q460 -11 456 -4Q455 -3 407 133L361 267Q359 263 266 -4Q261 -11 243 -11H238Q225 -11 220 -3L90 368"],120:[431,0,528,11,516,"201 0Q189 3 102 3Q26 3 17 0H11V46H25Q48 47 67 52T96 61T121 78T139 96T160 122T180 150L226 210L168 288Q159 301 149 315T133 336T122 351T113 363T107 370T100 376T94 379T88 381T80 383Q74 383 44 385H16V431H23Q59 429 126 429Q219 429 229 431H237V385Q201 381 201 369Q201 367 211 353T239 315T268 274L272 270L297 304Q329 345 329 358Q329 364 327 369T322 376T317 380T310 384L307 385H302V431H309Q324 428 408 428Q487 428 493 431H499V385H492Q443 385 411 368Q394 360 377 341T312 257L296 236L358 151Q424 61 429 57T446 50Q464 46 499 46H516V0H510H502Q494 1 482 1T457 2T432 2T414 3Q403 3 377 3T327 1L304 0H295V46H298Q309 46 320 51T331 63Q331 65 291 120L250 175Q249 174 219 133T185 88Q181 83 181 74Q181 63 188 55T206 46Q208 46 208 23V0H201"],121:[431,204,528,19,508,"69 -66Q91 -66 104 -80T118 -116Q118 -134 109 -145T91 -160Q84 -163 97 -166Q104 -168 111 -168Q131 -168 148 -159T175 -138T197 -106T213 -75T225 -43L242 0L170 183Q150 233 125 297Q101 358 96 368T80 381Q79 382 78 382Q66 385 34 385H19V431H26L46 430Q65 430 88 429T122 428Q129 428 142 428T171 429T200 430T224 430L233 431H241V385H232Q183 385 185 366L286 112Q286 113 332 227L376 341V350Q376 365 366 373T348 383T334 385H331V431H337H344Q351 431 361 431T382 430T405 429T422 429Q477 429 503 431H508V385H497Q441 380 422 345Q420 343 378 235T289 9T227 -131Q180 -204 113 -204Q69 -204 44 -177T19 -116Q19 -89 35 -78T69 -66"],122:[431,0,444,28,401,"42 263Q44 270 48 345T53 423V431H393Q399 425 399 415Q399 403 398 402L381 378Q364 355 331 309T265 220L134 41L182 40H206Q254 40 283 46T331 77Q352 105 359 185L361 201Q361 202 381 202H401V196Q401 195 393 103T384 6V0H209L34 1L31 3Q28 8 28 17Q28 30 29 31T160 210T294 394H236Q169 393 152 388Q127 382 113 367Q89 344 82 264V255H42V263"],123:[750,250,500,65,434,"434 -231Q434 -244 428 -250H410Q281 -250 230 -184Q225 -177 222 -172T217 -161T213 -148T211 -133T210 -111T209 -84T209 -47T209 0Q209 21 209 53Q208 142 204 153Q203 154 203 155Q189 191 153 211T82 231Q71 231 68 234T65 250T68 266T82 269Q116 269 152 289T203 345Q208 356 208 377T209 529V579Q209 634 215 656T244 698Q270 724 324 740Q361 748 377 749Q379 749 390 749T408 750H428Q434 744 434 732Q434 719 431 716Q429 713 415 713Q362 710 332 689T296 647Q291 634 291 499V417Q291 370 288 353T271 314Q240 271 184 255L170 250L184 245Q202 239 220 230T262 196T290 137Q291 131 291 1Q291 -134 296 -147Q306 -174 339 -192T415 -213Q429 -213 431 -216Q434 -219 434 -231"],124:[750,249,278,119,159,"139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139"],125:[750,250,500,65,434,"65 731Q65 745 68 747T88 750Q171 750 216 725T279 670Q288 649 289 635T291 501Q292 362 293 357Q306 312 345 291T417 269Q428 269 431 266T434 250T431 234T417 231Q380 231 345 210T298 157Q293 143 292 121T291 -28V-79Q291 -134 285 -156T256 -198Q202 -250 89 -250Q71 -250 68 -247T65 -230Q65 -224 65 -223T66 -218T69 -214T77 -213Q91 -213 108 -210T146 -200T183 -177T207 -139Q208 -134 209 3L210 139Q223 196 280 230Q315 247 330 250Q305 257 280 270Q225 304 212 352L210 362L209 498Q208 635 207 640Q195 680 154 696T77 713Q68 713 67 716T65 731"],168:[669,-554,500,95,405,"95 612Q95 633 112 651T153 669T193 652T210 612Q210 588 194 571T152 554L127 560Q95 577 95 612ZM289 611Q289 634 304 649T335 668Q336 668 340 668T346 669Q369 669 386 652T404 612T387 572T346 554Q323 554 306 570T289 611"],172:[356,-89,667,56,611,"56 323T56 336T70 356H596Q603 353 611 343V102Q598 89 591 89Q587 89 584 90T579 94T575 98T572 102L571 209V316H70Q56 323 56 336"],175:[590,-544,500,69,430,"69 544V590H430V544H69"],176:[715,-542,500,147,352,"147 628Q147 669 179 692T244 715Q298 715 325 689T352 629Q352 592 323 567T249 542Q202 542 175 567T147 628ZM313 628Q313 660 300 669T259 678H253Q248 678 242 678T234 679Q217 679 207 674T192 659T188 644T187 629Q187 600 198 590Q210 579 250 579H265Q279 579 288 581T305 595T313 628"],177:[666,0,778,56,722,"56 320T56 333T70 353H369V502Q369 651 371 655Q376 666 388 666Q402 666 405 654T409 596V500V353H707Q722 345 722 333Q722 320 707 313H409V40H707Q722 32 722 20T707 0H70Q56 7 56 20T70 40H369V313H70Q56 320 56 333"],180:[699,-505,500,203,393,"349 699Q367 699 380 686T393 656Q393 651 392 647T387 637T380 627T367 616T351 602T330 585T303 563L232 505L217 519Q203 533 204 533Q204 534 229 567T282 636T313 678L316 681Q318 684 321 686T328 692T337 697T349 699"],215:[491,-9,778,147,630,"630 29Q630 9 609 9Q604 9 587 25T493 118L389 222L284 117Q178 13 175 11Q171 9 168 9Q160 9 154 15T147 29Q147 36 161 51T255 146L359 250L255 354Q174 435 161 449T147 471Q147 480 153 485T168 490Q173 490 175 489Q178 487 284 383L389 278L493 382Q570 459 587 475T609 491Q630 491 630 471Q630 464 620 453T522 355L418 250L522 145Q606 61 618 48T630 29"],247:[537,36,778,56,721,"318 466Q318 500 339 518T386 537Q418 537 438 517T458 466Q458 438 440 417T388 396Q355 396 337 417T318 466ZM56 237T56 250T70 270H706Q721 262 721 250T706 230H70Q56 237 56 250ZM318 34Q318 68 339 86T386 105Q418 105 438 85T458 34Q458 6 440 -15T388 -36Q355 -36 337 -15T318 34"],710:[694,-531,500,112,387,"112 560L249 694L257 686Q387 562 387 560L361 531Q359 532 303 581L250 627L195 580Q182 569 169 557T148 538L140 532Q138 530 125 546L112 560"],711:[644,-513,500,114,385,"114 611L127 630L136 644Q138 644 193 612Q248 581 250 581L306 612Q361 644 363 644L385 611L318 562L249 513L114 611"],713:[590,-544,500,69,430,"69 544V590H430V544H69"],714:[699,-505,500,203,393,"349 699Q367 699 380 686T393 656Q393 651 392 647T387 637T380 627T367 616T351 602T330 585T303 563L232 505L217 519Q203 533 204 533Q204 534 229 567T282 636T313 678L316 681Q318 684 321 686T328 692T337 697T349 699"],715:[699,-505,500,106,296,"106 655Q106 671 119 685T150 699Q166 699 177 688Q190 671 222 629T275 561T295 533T282 519L267 505L196 563Q119 626 113 634Q106 643 106 655"],728:[694,-515,500,92,407,"250 515Q179 515 138 565T92 683V694H129V689Q129 688 129 683T130 675Q137 631 169 599T248 567Q304 567 337 608T370 689V694H407V683Q403 617 361 566T250 515"],729:[669,-549,500,190,309,"190 609Q190 637 208 653T252 669Q275 667 292 652T309 609Q309 579 292 564T250 549Q225 549 208 564T190 609"],732:[668,-565,500,83,416,"179 601Q164 601 151 595T131 584T111 565L97 577L83 588Q83 589 95 603T121 633T142 654Q165 668 187 668T253 650T320 632Q335 632 348 638T368 649T388 668L402 656L416 645Q375 586 344 572Q330 565 313 565Q292 565 248 583T179 601"],8211:[285,-248,500,0,499,"0 248V285H499V248H0"],8212:[285,-248,1000,0,999,"0 248V285H999V248H0"],8216:[694,-379,278,64,199,"64 494Q64 548 86 597T131 670T160 694Q163 694 172 685T182 672Q182 669 170 656T144 625T116 573T101 501Q101 489 102 489T107 491T120 497T138 500Q163 500 180 483T198 440T181 397T139 379Q110 379 87 405T64 494"],8217:[694,-379,278,78,212,"78 634Q78 659 95 676T138 694Q166 694 189 668T212 579Q212 525 190 476T146 403T118 379Q114 379 105 388T95 401Q95 404 107 417T133 448T161 500T176 572Q176 584 175 584T170 581T157 576T139 573Q114 573 96 590T78 634"],8220:[694,-379,500,128,466,"128 494Q128 528 137 560T158 616T185 658T209 685T223 694T236 685T245 670Q244 668 231 654T204 622T178 571T164 501Q164 489 165 489T170 491T183 497T201 500Q226 500 244 483T262 440T245 397T202 379Q173 379 151 405T128 494ZM332 494Q332 528 341 560T362 616T389 658T413 685T427 694T439 685T449 672Q449 669 437 656T411 625T383 573T368 501Q368 489 369 489T374 491T387 497T405 500Q430 500 448 483T466 440T449 397T406 379Q377 379 355 405T332 494"],8221:[694,-379,500,34,372,"34 634Q34 659 50 676T93 694Q121 694 144 668T168 579Q168 525 146 476T101 403T73 379Q69 379 60 388T50 401Q50 404 62 417T88 448T116 500T131 572Q131 584 130 584T125 581T112 576T94 573Q69 573 52 590T34 634ZM238 634Q238 659 254 676T297 694Q325 694 348 668T372 579Q372 525 350 476T305 403T277 379Q273 379 264 388T254 401Q254 404 266 417T292 448T320 500T335 572Q335 584 334 584T329 581T316 576T298 573Q273 573 256 590T238 634"],8224:[705,216,444,54,389,"182 675Q195 705 222 705Q234 705 243 700T253 691T263 675L262 655Q262 620 252 549T240 454V449Q250 451 288 461T346 472T377 461T389 431Q389 417 379 404T346 390Q327 390 288 401T243 412H240V405Q245 367 250 339T258 301T261 274T263 225Q263 124 255 -41T239 -213Q236 -216 222 -216H217Q206 -216 204 -212T200 -186Q199 -175 199 -168Q181 38 181 225Q181 265 182 280T191 327T204 405V412H201Q196 412 157 401T98 390Q76 390 66 403T55 431T65 458T98 472Q116 472 155 462T205 449Q204 452 204 460T201 490T193 547Q182 619 182 655V675"],8225:[705,205,444,54,389,"181 658Q181 705 222 705T263 658Q263 633 252 572T240 497Q240 496 241 496Q243 496 285 507T345 519Q365 519 376 508T388 478Q388 466 384 458T375 447T361 438H344Q318 438 282 448T241 459Q240 458 240 456Q240 449 251 384T263 297Q263 278 255 267T238 253T222 250T206 252T190 266T181 297Q181 323 192 383T204 458Q204 459 203 459Q198 459 162 449T101 438H84Q74 443 70 446T61 457T56 478Q56 497 67 508T99 519Q117 519 159 508T203 496Q204 496 204 499Q204 507 193 572T181 658ZM181 202Q181 249 222 249T263 202Q263 185 259 161T249 103T240 48V41H243Q248 41 287 52T346 63T377 52T389 22Q389 8 379 -5T346 -19Q327 -19 288 -8T243 3H240V-4Q243 -24 249 -58T259 -117T263 -158Q263 -177 255 -188T238 -202T222 -205T206 -203T190 -189T181 -158Q181 -141 185 -117T195 -59T204 -4V3H201Q196 3 157 -8T98 -19Q76 -19 66 -6T55 22T65 49T98 63Q117 63 156 52T201 41H204V48Q201 68 195 102T185 161T181 202"],8230:[120,0,1172,78,1093,"78 60Q78 84 95 102T138 120Q162 120 180 104T199 61Q199 36 182 18T139 0T96 17T78 60ZM525 60Q525 84 542 102T585 120Q609 120 627 104T646 61Q646 36 629 18T586 0T543 17T525 60ZM972 60Q972 84 989 102T1032 120Q1056 120 1074 104T1093 61Q1093 36 1076 18T1033 0T990 17T972 60"],8242:[560,-43,275,30,262,"79 43Q73 43 52 49T30 61Q30 68 85 293T146 528Q161 560 198 560Q218 560 240 545T262 501Q262 496 260 486Q259 479 173 263T84 45T79 43"],8407:[714,-516,0,-471,-29,"-123 694Q-123 702 -118 708T-103 714Q-93 714 -88 706T-80 687T-67 660T-40 633Q-29 626 -29 615Q-29 606 -36 600T-53 590T-83 571T-121 531Q-135 516 -143 516T-157 522T-163 536T-152 559T-129 584T-116 595H-287L-458 596Q-459 597 -461 599T-466 602T-469 607T-471 615Q-471 622 -458 635H-99Q-123 673 -123 694"],8592:[511,11,1000,55,944,"944 261T944 250T929 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270H929Q944 261 944 250"],8593:[694,193,500,17,483,"27 414Q17 414 17 433Q17 437 17 439T17 444T19 447T20 450T22 452T26 453T30 454T36 456Q80 467 120 494T180 549Q227 607 238 678Q240 694 251 694Q259 694 261 684Q261 677 265 659T284 608T320 549Q340 525 363 507T405 479T440 463T467 455T479 451Q483 447 483 433Q483 413 472 413Q467 413 458 416Q342 448 277 545L270 555V-179Q262 -193 252 -193H250H248Q236 -193 230 -179V555L223 545Q192 499 146 467T70 424T27 414"],8594:[511,11,1000,56,944,"56 237T56 250T70 270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H70Q56 237 56 250"],8595:[694,194,500,17,483,"473 86Q483 86 483 67Q483 63 483 61T483 56T481 53T480 50T478 48T474 47T470 46T464 44Q428 35 391 14T316 -55T264 -168Q264 -170 263 -173T262 -180T261 -184Q259 -194 251 -194Q242 -194 238 -176T221 -121T180 -49Q169 -34 155 -21T125 2T95 20T67 33T44 42T27 47L21 49Q17 53 17 67Q17 87 28 87Q33 87 42 84Q158 52 223 -45L230 -55V312Q230 391 230 482T229 591Q229 662 231 676T243 693Q244 694 251 694Q264 692 270 679V-55L277 -45Q307 1 353 33T430 76T473 86"],8596:[511,11,1000,55,944,"263 479Q267 501 271 506T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270H835Q729 349 696 475Q691 493 691 500Q691 511 711 511Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q144 292 194 349T263 479"],8597:[772,272,500,17,483,"27 492Q17 492 17 511Q17 515 17 517T17 522T19 525T20 528T22 530T26 531T30 532T36 534Q80 545 120 572T180 627Q210 664 223 701T238 755T250 772T261 762Q261 757 264 741T282 691T319 628Q352 589 390 566T454 536L479 529Q483 525 483 511Q483 491 472 491Q467 491 458 494Q342 526 277 623L270 633V-133L277 -123Q307 -77 353 -45T430 -2T473 8Q483 8 483 -11Q483 -15 483 -17T483 -22T481 -25T480 -28T478 -30T474 -31T470 -32T464 -34Q407 -49 364 -84T300 -157T270 -223T261 -262Q259 -272 250 -272Q242 -272 239 -255T223 -201T180 -127Q169 -112 155 -99T125 -76T95 -58T67 -45T44 -36T27 -31L21 -29Q17 -25 17 -11Q17 9 28 9Q33 9 42 6Q158 -26 223 -123L230 -133V633L223 623Q192 577 146 545T70 502T27 492"],8598:[720,195,1000,29,944,"204 662Q257 662 301 676T369 705T394 720Q398 720 407 711T417 697Q417 688 389 671T310 639T212 623Q176 623 153 628Q151 628 221 557T546 232Q942 -164 943 -168Q944 -170 944 -174Q944 -182 938 -188T924 -195Q922 -195 916 -193Q912 -191 517 204Q440 281 326 394T166 553L121 598Q126 589 126 541Q126 438 70 349Q59 332 52 332Q48 332 39 341T29 355Q29 358 38 372T57 407T77 464T86 545Q86 583 78 614T63 663T55 683Q55 693 65 693Q73 693 82 688Q136 662 204 662"],8599:[720,195,1000,55,971,"582 697Q582 701 591 710T605 720Q607 720 630 706T697 677T795 662Q830 662 863 670T914 686T934 694Q942 694 944 685Q944 680 936 663T921 615T913 545Q913 490 927 446T956 379T970 355Q970 351 961 342T947 332Q940 332 929 349Q874 436 874 541Q874 590 878 598L832 553Q787 508 673 395T482 204Q87 -191 83 -193Q77 -195 75 -195Q67 -195 61 -189T55 -174Q55 -170 56 -168Q58 -164 453 232Q707 487 777 557T847 628Q824 623 787 623Q689 623 599 679Q582 690 582 697"],8600:[695,220,1000,55,970,"55 675Q55 683 60 689T75 695Q77 695 83 693Q87 691 482 296Q532 246 605 174T717 62T799 -20T859 -80T878 -97Q874 -93 874 -41Q874 64 929 151Q940 168 947 168Q951 168 960 159T970 145Q970 143 956 121T928 54T913 -45Q913 -83 920 -114T936 -163T944 -185Q942 -194 934 -194Q932 -194 914 -186T864 -170T795 -162Q743 -162 698 -176T630 -205T605 -220Q601 -220 592 -211T582 -197Q582 -187 611 -170T691 -138T787 -123Q824 -123 847 -128Q848 -128 778 -57T453 268Q58 664 56 668Q55 670 55 675"],8601:[695,220,1000,29,944,"126 -41Q126 -92 121 -97Q121 -98 139 -80T200 -20T281 61T394 173T517 296Q909 690 916 693Q922 695 924 695Q932 695 938 689T944 674Q944 670 943 668Q942 664 546 268Q292 13 222 -57T153 -128Q176 -123 212 -123Q310 -123 400 -179Q417 -190 417 -197Q417 -201 408 -210T394 -220Q392 -220 369 -206T302 -177T204 -162Q131 -162 67 -194Q63 -195 59 -192T55 -183Q55 -180 62 -163T78 -115T86 -45Q86 10 72 54T44 120T29 145Q29 149 38 158T52 168Q59 168 70 151Q126 62 126 -41"],8614:[511,11,1000,54,944,"95 155V109Q95 83 92 73T75 63Q61 63 58 74T54 130Q54 140 54 180T55 250Q55 421 57 425Q61 437 75 437Q88 437 91 428T95 393V345V270H835Q719 357 692 493Q692 494 692 496T691 499Q691 511 708 511H711Q720 511 723 510T729 506T732 497T735 481T743 456Q765 389 816 336T935 261Q944 258 944 250Q944 244 939 241T915 231T877 212Q836 186 806 152T761 85T740 35T732 4Q730 -6 727 -8T711 -11Q691 -11 691 0Q691 7 696 25Q728 151 835 230H95V155"],8617:[511,11,1126,55,1070,"903 424T903 444T929 464Q976 464 1023 434T1070 347Q1070 316 1055 292T1016 256T971 237T929 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270H926Q929 270 941 271T960 275T978 280T998 290T1015 307Q1030 325 1030 347Q1030 355 1027 364T1014 387T983 411T929 424H928Q903 424 903 444"],8618:[511,11,1126,55,1070,"55 347Q55 380 72 404T113 441T159 458T197 464Q222 464 222 444Q222 429 204 426T157 417T110 387Q95 369 95 347Q95 339 98 330T111 307T142 283T196 270H961Q845 357 818 493Q818 494 818 496T817 499Q817 511 834 511H837Q846 511 849 510T855 506T858 497T861 481T869 456Q891 389 942 336T1061 261Q1070 258 1070 250Q1070 244 1065 241T1041 231T1003 212Q962 186 932 152T887 85T866 35T858 4Q856 -6 853 -8T837 -11Q817 -11 817 0Q817 7 822 25Q854 151 961 230H196Q149 230 102 260T55 347"],8636:[511,-230,1000,55,944,"62 230Q56 236 55 244Q55 252 57 255T69 265Q114 292 151 326T208 391T243 448T265 491T273 509Q276 511 288 511Q304 511 306 505Q309 501 303 484Q293 456 279 430T251 383T223 344T196 313T173 291T156 276L148 270H929Q944 261 944 250T929 230H62"],8637:[270,11,1000,55,944,"55 256Q56 264 62 270H929Q944 261 944 250T929 230H148Q149 229 165 215T196 185T231 145T270 87T303 16Q309 -1 306 -5Q304 -11 288 -11Q279 -11 276 -10T269 -4T264 10T253 36T231 75Q172 173 69 235Q59 242 57 245T55 256"],8640:[511,-230,1000,56,945,"691 500Q691 511 711 511Q720 511 723 510T730 504T735 490T746 464T768 425Q796 378 835 339T897 285T933 263Q941 258 942 256T944 245T937 230H70Q56 237 56 250T70 270H852Q802 308 762 364T707 455T691 500"],8641:[270,11,1000,56,944,"56 237T56 250T70 270H937Q944 263 944 256Q944 251 944 250T943 246T940 242T933 238Q794 153 734 7Q729 -7 726 -9T711 -11Q695 -11 693 -5Q690 -1 696 16Q721 84 763 139T852 230H70Q56 237 56 250"],8652:[671,11,1000,55,945,"691 660Q691 671 711 671Q720 671 723 670T730 664T735 650T746 624T768 585Q797 538 836 499T897 445T933 423Q941 418 942 416T944 405T937 390H70Q56 397 56 410T70 430H852Q802 468 762 524T707 615T691 660ZM55 256Q56 264 62 270H929Q944 261 944 250T929 230H148Q149 229 165 215T196 185T231 145T270 87T303 16Q309 -1 306 -5Q304 -11 288 -11Q279 -11 276 -10T269 -4T264 10T253 36T231 75Q172 173 69 235Q59 242 57 245T55 256"],8656:[525,24,1000,56,945,"944 153Q944 140 929 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H929Q944 359 944 347Q944 336 930 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173H930Q931 172 933 171T936 169T938 167T941 164T942 162T943 158T944 153"],8657:[694,194,611,31,579,"228 -179Q227 -180 226 -182T223 -186T221 -189T218 -192T214 -193T208 -194Q196 -194 189 -181L188 125V430L176 419Q122 369 59 338Q46 330 40 330Q38 330 31 337V350Q31 362 33 365T46 374Q60 381 77 390T128 426T190 484T247 567T292 677Q295 688 298 692Q302 694 305 694Q313 694 318 677Q334 619 363 568T420 485T481 427T532 391T564 374Q575 368 577 365T579 350V337Q572 330 570 330Q564 330 551 338Q487 370 435 419L423 430L422 125V-181Q409 -194 401 -194Q397 -194 394 -193T388 -189T385 -184T382 -180V-177V475L373 487Q331 541 305 602Q304 601 300 591T290 571T278 548T260 519T238 488L229 476L228 148V-179"],8658:[525,24,1000,56,944,"580 514Q580 525 596 525Q601 525 604 525T609 525T613 524T615 523T617 520T619 517T622 512Q659 438 720 381T831 300T927 263Q944 258 944 250T935 239T898 228T840 204Q696 134 622 -12Q618 -21 615 -22T600 -24Q580 -24 580 -17Q580 -13 585 0Q620 69 671 123L681 133H70Q56 140 56 153Q56 168 72 173H725L735 181Q774 211 852 250Q851 251 834 259T789 283T735 319L725 327H72Q56 332 56 347Q56 360 70 367H681L671 377Q638 412 609 458T580 514"],8659:[694,194,611,31,579,"401 694Q412 694 422 681V375L423 70L435 81Q487 130 551 162Q564 170 570 170Q572 170 579 163V150Q579 138 577 135T564 126Q541 114 518 99T453 48T374 -46T318 -177Q313 -194 305 -194T293 -178T272 -119T225 -31Q158 70 46 126Q35 132 33 135T31 150V163Q38 170 40 170Q46 170 59 162Q122 131 176 81L188 70V375L189 681Q199 694 208 694Q219 694 228 680V352L229 25L238 12Q279 -42 305 -102Q344 -23 373 13L382 25V678Q387 692 401 694"],8660:[526,25,1000,33,966,"308 524Q318 526 323 526Q340 526 340 514Q340 507 336 499Q326 476 314 454T292 417T274 391T260 374L255 368Q255 367 500 367Q744 367 744 368L739 374Q734 379 726 390T707 416T685 453T663 499Q658 511 658 515Q658 525 680 525Q687 524 690 523T695 519T701 507Q766 359 902 287Q921 276 939 269T961 259T966 250Q966 246 965 244T960 240T949 236T930 228T902 213Q763 137 701 -7Q697 -16 695 -19T690 -23T680 -25Q658 -25 658 -15Q658 -11 663 1Q673 24 685 46T707 83T725 109T739 126L744 132Q744 133 500 133Q255 133 255 132L260 126Q265 121 273 110T292 84T314 47T336 1Q341 -11 341 -15Q341 -25 319 -25Q312 -24 309 -23T304 -19T298 -7Q233 141 97 213Q83 221 70 227T51 235T41 239T35 243T34 250T35 256T40 261T51 265T70 273T97 287Q235 363 299 509Q305 522 308 524ZM792 319L783 327H216Q183 294 120 256L110 250L120 244Q173 212 207 181L216 173H783L792 181Q826 212 879 244L889 250L879 256Q826 288 792 319"],8661:[772,272,611,31,579,"290 755Q298 772 305 772T318 757T343 706T393 633Q431 588 473 558T545 515T579 497V484Q579 464 570 464Q564 464 550 470Q485 497 423 550L422 400V100L423 -50Q485 3 550 30Q565 36 570 36Q579 36 579 16V3Q575 -1 549 -12T480 -53T393 -132Q361 -172 342 -208T318 -258T305 -272T293 -258T268 -208T217 -132Q170 -80 128 -51T61 -12T31 3V16Q31 36 40 36Q46 36 61 30Q86 19 109 6T146 -18T173 -38T188 -50V550Q186 549 173 539T147 519T110 495T61 470Q46 464 40 464Q31 464 31 484V497Q34 500 63 513T135 557T217 633Q267 692 290 755ZM374 598Q363 610 351 625T332 651T316 676T305 695L294 676Q282 657 267 636T236 598L228 589V-89L236 -98Q247 -110 259 -125T278 -151T294 -176T305 -195L316 -176Q328 -157 343 -136T374 -98L382 -89V589L374 598"],8704:[694,22,556,0,556,"0 673Q0 684 7 689T20 694Q32 694 38 680T82 567L126 451H430L473 566Q483 593 494 622T512 668T519 685Q524 694 538 694Q556 692 556 674Q556 670 426 329T293 -15Q288 -22 278 -22T263 -15Q260 -11 131 328T0 673ZM414 410Q414 411 278 411T142 410L278 55L414 410"],8706:[715,22,531,42,567,"202 508Q179 508 169 520T158 547Q158 557 164 577T185 624T230 675T301 710L333 715H345Q378 715 384 714Q447 703 489 661T549 568T566 457Q566 362 519 240T402 53Q321 -22 223 -22Q123 -22 73 56Q42 102 42 148V159Q42 276 129 370T322 465Q383 465 414 434T455 367L458 378Q478 461 478 515Q478 603 437 639T344 676Q266 676 223 612Q264 606 264 572Q264 547 246 528T202 508ZM430 306Q430 372 401 400T333 428Q270 428 222 382Q197 354 183 323T150 221Q132 149 132 116Q132 21 232 21Q244 21 250 22Q327 35 374 112Q389 137 409 196T430 306"],8707:[694,0,556,56,500,"56 661T56 674T70 694H487Q497 686 500 679V15Q497 10 487 1L279 0H70Q56 7 56 20T70 40H460V327H84Q70 334 70 347T84 367H460V654H70Q56 661 56 674"],8709:[772,78,500,39,460,"331 696Q335 708 339 722T345 744T350 759T357 769T367 772Q374 772 381 767T388 754Q388 746 377 712L366 673L378 661Q460 575 460 344Q460 281 456 234T432 126T373 27Q319 -22 250 -22Q214 -22 180 -7Q168 -3 168 -4L159 -33Q148 -71 142 -75Q138 -78 132 -78Q124 -78 118 -72T111 -60Q111 -52 122 -18L133 21L125 29Q39 111 39 344Q39 596 137 675Q187 716 251 716Q265 716 278 714T296 710T315 703T331 696ZM276 676Q264 679 246 679Q196 679 159 631Q134 597 128 536T121 356Q121 234 127 174T151 80L234 366Q253 430 275 506T308 618L318 654Q318 656 294 669L276 676ZM181 42Q207 16 250 16Q291 16 324 47Q354 78 366 136T378 356Q378 470 372 528T349 616L348 613Q348 611 264 326L181 42"],8711:[683,33,833,46,786,"46 676Q46 679 51 683H781Q786 679 786 676Q786 674 617 326T444 -26Q439 -33 416 -33T388 -26Q385 -22 216 326T46 676ZM697 596Q697 597 445 597T193 596Q195 591 319 336T445 80L697 596"],8712:[541,41,667,84,583,"84 250Q84 372 166 450T360 539Q361 539 377 539T419 540T469 540H568Q583 532 583 520Q583 511 570 501L466 500Q355 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H568Q583 262 583 250T568 230H124V228Q124 207 134 177T167 112T231 48T328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 446 -40T417 -41Q262 -41 172 45Q84 127 84 250"],8713:[716,215,667,84,584,"196 25Q84 109 84 250Q84 372 166 450T360 539Q361 539 375 539T413 540T460 540L547 707Q550 716 563 716Q570 716 575 712T581 703T583 696T505 540H568Q583 532 583 520Q583 511 570 501L484 500L366 270H568Q583 262 583 250T568 230H346L247 38Q284 16 328 7Q355 1 466 0H570Q583 -10 583 -20Q583 -32 568 -40H471Q464 -40 447 -40T419 -41Q304 -41 228 3Q117 -211 115 -212Q111 -215 104 -215T92 -212T86 -204T84 -197Q84 -190 89 -183L196 25ZM214 61L301 230H124V228Q124 196 147 147T214 61ZM321 270L440 500Q353 499 329 494Q280 482 242 458T183 409T147 354T129 306T124 272V270H321"],8715:[541,40,667,83,582,"83 520Q83 532 98 540H195Q202 540 220 540T249 541Q404 541 494 455Q582 374 582 250Q582 165 539 99T434 0T304 -39Q297 -40 195 -40H98Q83 -32 83 -20Q83 -10 96 0H200Q311 1 337 6Q369 14 401 28Q422 39 445 55Q484 85 508 127T537 191T542 228V230H98Q84 237 84 250T98 270H542V272Q542 280 539 295T527 336T497 391T445 445Q422 461 401 472Q386 479 374 483T347 491T325 495T298 498T273 499T239 500T200 500L96 501Q83 511 83 520"],8722:[270,-230,778,84,694,"84 237T84 250T98 270H679Q694 262 694 250T679 230H98Q84 237 84 250"],8723:[500,166,778,56,722,"56 467T56 480T70 500H707Q722 492 722 480T707 460H409V187H707Q722 179 722 167Q722 154 707 147H409V0V-93Q409 -144 406 -155T389 -166Q376 -166 372 -155T368 -105Q368 -96 368 -62T369 -2V147H70Q56 154 56 167T70 187H369V460H70Q56 467 56 480"],8725:[750,250,500,56,444,"423 750Q432 750 438 744T444 730Q444 725 271 248T92 -240Q85 -250 75 -250Q68 -250 62 -245T56 -231Q56 -221 230 257T407 740Q411 750 423 750"],8726:[750,250,500,56,444,"56 731Q56 740 62 745T75 750Q85 750 92 740Q96 733 270 255T444 -231Q444 -239 438 -244T424 -250Q414 -250 407 -240Q404 -236 230 242T56 731"],8727:[465,-35,500,64,435,"229 286Q216 420 216 436Q216 454 240 464Q241 464 245 464T251 465Q263 464 273 456T283 436Q283 419 277 356T270 286L328 328Q384 369 389 372T399 375Q412 375 423 365T435 338Q435 325 425 315Q420 312 357 282T289 250L355 219L425 184Q434 175 434 161Q434 146 425 136T401 125Q393 125 383 131T328 171L270 213Q283 79 283 63Q283 53 276 44T250 35Q231 35 224 44T216 63Q216 80 222 143T229 213L171 171Q115 130 110 127Q106 124 100 124Q87 124 76 134T64 161Q64 166 64 169T67 175T72 181T81 188T94 195T113 204T138 215T170 230T210 250L74 315Q65 324 65 338Q65 353 74 363T98 374Q106 374 116 368T171 328L229 286"],8728:[444,-55,500,55,444,"55 251Q55 328 112 386T249 444T386 388T444 249Q444 171 388 113T250 55Q170 55 113 112T55 251ZM245 403Q188 403 142 361T96 250Q96 183 141 140T250 96Q284 96 313 109T354 135T375 160Q403 197 403 250Q403 313 360 358T245 403"],8729:[444,-55,500,55,444,"55 251Q55 328 112 386T249 444T386 388T444 249Q444 171 388 113T250 55Q170 55 113 112T55 251"],8730:[800,200,833,71,853,"95 178Q89 178 81 186T72 200T103 230T169 280T207 309Q209 311 212 311H213Q219 311 227 294T281 177Q300 134 312 108L397 -77Q398 -77 501 136T707 565T814 786Q820 800 834 800Q841 800 846 794T853 782V776L620 293L385 -193Q381 -200 366 -200Q357 -200 354 -197Q352 -195 256 15L160 225L144 214Q129 202 113 190T95 178"],8733:[442,11,778,56,722,"56 124T56 216T107 375T238 442Q260 442 280 438T319 425T352 407T382 385T406 361T427 336T442 315T455 297T462 285L469 297Q555 442 679 442Q687 442 722 437V398H718Q710 400 694 400Q657 400 623 383T567 343T527 294T503 253T495 235Q495 231 520 192T554 143Q625 44 696 44Q717 44 719 46H722V-5Q695 -11 678 -11Q552 -11 457 141Q455 145 454 146L447 134Q362 -11 235 -11Q157 -11 107 56ZM93 213Q93 143 126 87T220 31Q258 31 292 48T349 88T389 137T413 178T421 196Q421 200 396 239T362 288Q322 345 288 366T213 387Q163 387 128 337T93 213"],8734:[442,11,1000,55,944,"55 217Q55 305 111 373T254 442Q342 442 419 381Q457 350 493 303L507 284L514 294Q618 442 747 442Q833 442 888 374T944 214Q944 128 889 59T743 -11Q657 -11 580 50Q542 81 506 128L492 147L485 137Q381 -11 252 -11Q166 -11 111 57T55 217ZM907 217Q907 285 869 341T761 397Q740 397 720 392T682 378T648 359T619 335T594 310T574 285T559 263T548 246L543 238L574 198Q605 158 622 138T664 94T714 61T765 51Q827 51 867 100T907 217ZM92 214Q92 145 131 89T239 33Q357 33 456 193L425 233Q364 312 334 337Q285 380 233 380Q171 380 132 331T92 214"],8736:[694,0,722,55,666,"71 0L68 2Q65 3 63 5T58 11T55 20Q55 22 57 28Q67 43 346 361Q397 420 474 508Q595 648 616 671T647 694T661 688T666 674Q666 668 663 663Q662 662 627 622T524 503T390 350L120 41L386 40H653Q666 30 666 20Q666 8 651 0H71"],8739:[750,249,278,119,159,"139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V-235Q151 -249 141 -249H139"],8741:[750,250,500,132,368,"133 736Q138 750 153 750Q164 750 170 739Q172 735 172 250T170 -239Q164 -250 152 -250Q144 -250 138 -244L137 -243Q133 -241 133 -179T132 250Q132 731 133 736ZM329 739Q334 750 346 750Q353 750 361 744L362 743Q366 741 366 679T367 250T367 -178T362 -243L361 -244Q355 -250 347 -250Q335 -250 329 -239Q327 -235 327 250T329 739"],8743:[598,22,667,55,611,"318 591Q325 598 333 598Q344 598 348 591Q349 590 414 445T545 151T611 -4Q609 -22 591 -22Q588 -22 586 -21T581 -20T577 -17T575 -13T572 -9T570 -4L333 528L96 -4Q87 -20 80 -21Q78 -22 75 -22Q57 -22 55 -4Q55 2 120 150T251 444T318 591"],8744:[598,22,667,55,611,"55 580Q56 587 61 592T75 598Q86 598 96 580L333 48L570 580Q579 596 586 597Q588 598 591 598Q609 598 611 580Q611 574 546 426T415 132T348 -15Q343 -22 333 -22T318 -15Q317 -14 252 131T121 425T55 580"],8745:[598,22,667,55,611,"88 -21T75 -21T55 -7V200Q55 231 55 280Q56 414 60 428Q61 430 61 431Q77 500 152 549T332 598Q443 598 522 544T610 405Q611 399 611 194V-7Q604 -22 591 -22Q582 -22 572 -9L570 405Q563 433 556 449T529 485Q498 519 445 538T334 558Q251 558 179 518T96 401Q95 396 95 193V-7Q88 -21 75 -21"],8746:[598,22,667,55,611,"591 598H592Q604 598 611 583V376Q611 345 611 296Q610 162 606 148Q605 146 605 145Q586 68 507 23T333 -22Q268 -22 209 -1T106 66T56 173Q55 180 55 384L56 585Q66 598 75 598Q85 598 95 585V378L96 172L98 162Q112 95 181 57T332 18Q415 18 487 58T570 175Q571 180 571 383V583Q579 598 591 598"],8747:[716,216,417,55,472,"151 -112Q151 -150 106 -161Q106 -165 114 -172T134 -179Q155 -179 170 -146Q181 -120 188 -64T206 101T232 310Q256 472 277 567Q308 716 392 716Q434 716 453 681T472 613Q472 590 458 577T424 564Q404 564 390 578T376 612Q376 650 421 661Q421 663 418 667T407 675T393 679Q387 679 380 675Q360 665 350 619T326 438Q302 190 253 -57Q235 -147 201 -186Q174 -213 138 -216Q93 -216 74 -181T55 -113Q55 -91 69 -78T103 -64Q123 -64 137 -78T151 -112"],8764:[367,-133,778,55,722,"55 166Q55 241 101 304T222 367Q260 367 296 349T362 304T421 252T484 208T554 189Q616 189 655 236T694 338Q694 350 698 358T708 367Q722 367 722 334Q722 260 677 197T562 134H554Q517 134 481 152T414 196T355 248T292 293T223 311Q179 311 145 286Q109 257 96 218T80 156T69 133Q55 133 55 166"],8768:[583,83,278,55,222,"55 569Q55 583 83 583Q122 583 151 565T194 519T215 464T222 411Q222 360 194 304T139 193T111 89Q111 38 134 -7T195 -55Q222 -57 222 -69Q222 -83 189 -83Q130 -83 93 -33T55 90Q55 130 72 174T110 252T148 328T166 411Q166 462 144 507T83 555Q55 556 55 569"],8771:[464,-36,778,55,722,"55 283Q55 356 103 409T217 463Q262 463 297 447T395 382Q431 355 446 344T493 320T554 307H558Q613 307 652 344T694 433Q694 464 708 464T722 432Q722 356 673 304T564 251H554Q510 251 465 275T387 329T310 382T223 407H219Q164 407 122 367Q91 333 85 295T76 253T69 250Q55 250 55 283ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56"],8773:[589,-22,1000,55,722,"55 388Q55 463 101 526T222 589Q260 589 296 571T362 526T421 474T484 430T554 411Q616 411 655 458T694 560Q694 572 698 580T708 589Q722 589 722 556Q722 482 677 419T562 356H554Q517 356 481 374T414 418T355 471T292 515T223 533Q179 533 145 508Q109 479 96 440T80 378T69 355Q55 355 55 388ZM56 236Q56 249 70 256H707Q722 248 722 236Q722 225 708 217L390 216H72Q56 221 56 236ZM56 42Q56 57 72 62H708Q722 52 722 42Q722 30 707 22H70Q56 29 56 42"],8776:[483,-55,778,55,722,"55 319Q55 360 72 393T114 444T163 472T205 482Q207 482 213 482T223 483Q262 483 296 468T393 413L443 381Q502 346 553 346Q609 346 649 375T694 454Q694 465 698 474T708 483Q722 483 722 452Q722 386 675 338T555 289Q514 289 468 310T388 357T308 404T224 426Q164 426 125 393T83 318Q81 289 69 289Q55 289 55 319ZM55 85Q55 126 72 159T114 210T163 238T205 248Q207 248 213 248T223 249Q262 249 296 234T393 179L443 147Q502 112 553 112Q609 112 649 141T694 220Q694 249 708 249T722 217Q722 153 675 104T555 55Q514 55 468 76T388 123T308 170T224 192Q164 192 125 159T83 84Q80 55 69 55Q55 55 55 85"],8781:[484,-16,778,55,722,"55 464Q55 471 60 477T74 484Q80 484 108 464T172 420T268 376T389 356Q436 356 483 368T566 399T630 436T675 467T695 482Q701 484 703 484Q711 484 716 478T722 464Q722 454 707 442Q550 316 389 316Q338 316 286 329T195 362T124 402T76 437T57 456Q55 462 55 464ZM57 45Q66 58 109 88T230 151T381 183Q438 183 494 168T587 135T658 94T703 61T720 45Q722 39 722 36Q722 28 717 22T703 16Q697 16 669 36T606 80T510 124T389 144Q341 144 294 132T211 101T147 64T102 33T82 18Q76 16 74 16Q66 16 61 22T55 36Q55 39 57 45"],8784:[670,-133,778,56,722,"56 347Q56 360 70 367H707Q722 359 722 347Q722 336 708 328L390 327H72Q56 332 56 347ZM56 153Q56 168 72 173H708Q722 163 722 153Q722 140 707 133H70Q56 140 56 153ZM329 610Q329 634 346 652T389 670Q413 670 431 654T450 611Q450 586 433 568T390 550T347 567T329 610"],8800:[716,215,778,56,722,"166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183L306 133H70Q56 140 56 153Q56 168 72 173H327L406 327H72Q56 332 56 347Q56 360 70 367H426Q597 702 602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 692 471 367H707Q722 359 722 347Q722 336 708 328L451 327L371 173H708Q722 163 722 153Q722 140 707 133H351Q175 -210 170 -212Q166 -215 159 -215"],8801:[464,-36,778,56,722,"56 444Q56 457 70 464H707Q722 456 722 444Q722 430 706 424H72Q56 429 56 444ZM56 237T56 250T70 270H707Q722 262 722 250T707 230H70Q56 237 56 250ZM56 56Q56 71 72 76H706Q722 70 722 56Q722 44 707 36H70Q56 43 56 56"],8804:[636,138,778,83,694,"674 636Q682 636 688 630T694 615T687 601Q686 600 417 472L151 346L399 228Q687 92 691 87Q694 81 694 76Q694 58 676 56H670L382 192Q92 329 90 331Q83 336 83 348Q84 359 96 365Q104 369 382 500T665 634Q669 636 674 636ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118"],8805:[636,138,778,82,694,"83 616Q83 624 89 630T99 636Q107 636 253 568T543 431T687 361Q694 356 694 346T687 331Q685 329 395 192L107 56H101Q83 58 83 76Q83 77 83 79Q82 86 98 95Q117 105 248 167Q326 204 378 228L626 346L360 472Q291 505 200 548Q112 589 98 597T83 616ZM84 -118Q84 -108 99 -98H678Q694 -104 694 -118Q694 -130 679 -138H98Q84 -131 84 -118"],8810:[568,67,1000,56,944,"639 -48Q639 -54 634 -60T619 -67H618Q612 -67 536 -26Q430 33 329 88Q61 235 59 239Q56 243 56 250T59 261Q62 266 336 415T615 567L619 568Q622 567 625 567Q639 562 639 548Q639 540 633 534Q632 532 374 391L117 250L374 109Q632 -32 633 -34Q639 -40 639 -48ZM944 -48Q944 -54 939 -60T924 -67H923Q917 -67 841 -26Q735 33 634 88Q366 235 364 239Q361 243 361 250T364 261Q367 266 641 415T920 567L924 568Q927 567 930 567Q944 562 944 548Q944 540 938 534Q937 532 679 391L422 250L679 109Q937 -32 938 -34Q944 -40 944 -48"],8811:[567,67,1000,55,944,"55 539T55 547T60 561T74 567Q81 567 207 498Q297 449 365 412Q633 265 636 261Q639 255 639 250Q639 241 626 232Q614 224 365 88Q83 -65 79 -66Q76 -67 73 -67Q65 -67 60 -61T55 -47Q55 -39 61 -33Q62 -33 95 -15T193 39T320 109L321 110H322L323 111H324L325 112L326 113H327L329 114H330L331 115H332L333 116L334 117H335L336 118H337L338 119H339L340 120L341 121H342L343 122H344L345 123H346L347 124L348 125H349L351 126H352L353 127H354L355 128L356 129H357L358 130H359L360 131H361L362 132L363 133H364L365 134H366L367 135H368L369 136H370L371 137L372 138H373L374 139H375L376 140L378 141L576 251Q63 530 62 533Q55 539 55 547ZM360 539T360 547T365 561T379 567Q386 567 512 498Q602 449 670 412Q938 265 941 261Q944 255 944 250Q944 241 931 232Q919 224 670 88Q388 -65 384 -66Q381 -67 378 -67Q370 -67 365 -61T360 -47Q360 -39 366 -33Q367 -33 400 -15T498 39T625 109L626 110H627L628 111H629L630 112L631 113H632L634 114H635L636 115H637L638 116L639 117H640L641 118H642L643 119H644L645 120L646 121H647L648 122H649L650 123H651L652 124L653 125H654L656 126H657L658 127H659L660 128L661 129H662L663 130H664L665 131H666L667 132L668 133H669L670 134H671L672 135H673L674 136H675L676 137L677 138H678L679 139H680L681 140L683 141L881 251Q368 530 367 533Q360 539 360 547"],8826:[539,41,778,84,694,"84 249Q84 262 91 266T117 270Q120 270 126 270T137 269Q388 273 512 333T653 512Q657 539 676 539Q685 538 689 532T694 520V515Q689 469 672 431T626 366T569 320T500 286T435 265T373 249Q379 248 404 242T440 233T477 221T533 199Q681 124 694 -17Q694 -41 674 -41Q658 -41 653 -17Q646 41 613 84T533 154T418 197T284 220T137 229H114Q104 229 98 230T88 235T84 249"],8827:[539,41,778,83,694,"84 517Q84 539 102 539Q115 539 119 529T125 503T137 459T171 404Q277 275 640 269H661Q694 269 694 249T661 229H640Q526 227 439 214T283 173T173 98T124 -17Q118 -41 103 -41Q83 -41 83 -17Q88 29 105 67T151 132T208 178T277 212T342 233T404 249Q401 250 380 254T345 263T302 276T245 299Q125 358 92 468Q84 502 84 517"],8834:[541,41,778,84,694,"84 250Q84 372 166 450T360 539Q361 539 370 539T395 539T430 540T475 540T524 540H679Q694 532 694 520Q694 511 681 501L522 500H470H441Q366 500 338 496T266 472Q244 461 224 446T179 404T139 337T124 250V245Q124 157 185 89Q244 25 328 7Q348 2 366 2T522 0H681Q694 -10 694 -20Q694 -32 679 -40H526Q510 -40 480 -40T434 -41Q350 -41 289 -25T172 45Q84 127 84 250"],8835:[541,40,778,83,693,"83 520Q83 532 98 540H251Q267 540 297 540T343 541Q427 541 488 525T605 455Q693 374 693 250Q693 165 650 99T545 0T415 -39Q407 -40 251 -40H98Q83 -32 83 -20Q83 -10 96 0H255H308H337Q412 0 439 4T512 28Q533 39 553 54T599 96T639 163T654 250Q654 341 592 411Q557 449 512 472Q468 491 439 495T335 500H306H255L96 501Q83 511 83 520"],8838:[637,138,778,84,694,"84 346Q84 468 166 546T360 635Q361 635 370 635T395 635T430 636T475 636T524 636H679Q694 628 694 616Q694 607 681 597L522 596H470H441Q366 596 338 592T266 568Q244 557 224 542T179 500T139 433T124 346V341Q124 253 185 185Q244 121 328 103Q348 98 366 98T522 96H681Q694 86 694 76Q694 64 679 56H526Q510 56 480 56T434 55Q350 55 289 71T172 141Q84 223 84 346ZM104 -131T104 -118T118 -98H679Q694 -106 694 -118T679 -138H118Q104 -131 104 -118"],8839:[637,138,778,83,693,"83 616Q83 628 98 636H251Q267 636 297 636T343 637Q427 637 488 621T605 551Q693 470 693 346Q693 261 650 195T545 96T415 57Q407 56 251 56H98Q83 64 83 76Q83 86 96 96H255H308H337Q412 96 439 100T512 124Q533 135 553 150T599 192T639 259T654 346Q654 437 592 507Q557 545 512 568Q468 587 439 591T335 596H306H255L96 597Q83 607 83 616ZM84 -131T84 -118T98 -98H659Q674 -106 674 -118T659 -138H98Q84 -131 84 -118"],8846:[598,22,667,55,611,"591 598H592Q604 598 611 583V376Q611 345 611 296Q610 162 606 148Q605 146 605 145Q586 68 507 23T333 -22Q268 -22 209 -1T106 66T56 173Q55 180 55 384L56 585Q66 598 75 598Q85 598 95 585V378L96 172L98 162Q112 95 181 57T332 18Q415 18 487 58T570 175Q571 180 571 383V583Q579 598 591 598ZM313 406Q313 417 313 435T312 459Q312 483 316 493T333 503T349 494T353 461V406V325H515Q516 325 519 323T527 316T531 305T527 294T520 287T515 285H353V204V152Q353 127 350 117T333 107T316 117T312 152Q312 158 312 175T313 204V285H151Q150 285 147 287T139 294T135 305T139 316T146 323T151 325H313V406"],8849:[636,138,778,84,714,"94 620Q98 632 110 636H699Q714 628 714 616T699 596H134V96H698Q714 90 714 76Q714 64 699 56H109Q104 59 95 69L94 344V620ZM84 -118Q84 -103 100 -98H698Q714 -104 714 -118Q714 -130 699 -138H98Q84 -131 84 -118"],8850:[636,138,778,64,694,"64 603T64 616T78 636H668Q675 633 683 623V69Q675 59 668 56H78Q64 63 64 76Q64 91 80 96H643V596H78Q64 603 64 616ZM64 -118Q64 -108 79 -98H678Q694 -104 694 -118Q694 -130 679 -138H78Q64 -131 64 -118"],8851:[598,0,667,61,605,"83 0Q79 0 76 1T71 3T67 6T65 9T63 13T61 16V301L62 585Q70 595 76 598H592Q602 590 605 583V15Q598 2 587 0Q583 0 580 1T575 3T571 6T569 9T567 13T565 16V558H101V15Q94 2 83 0"],8852:[598,0,667,61,605,"77 0Q65 4 61 16V301L62 585Q72 598 81 598Q94 598 101 583V40H565V583Q573 598 585 598Q598 598 605 583V15Q602 10 592 1L335 0H77"],8853:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM364 542Q308 539 251 509T148 418T96 278V270H369V542H364ZM681 278Q675 338 650 386T592 462T522 509T458 535T412 542H409V270H681V278ZM96 222Q104 150 139 95T219 12T302 -29T366 -42H369V230H96V222ZM681 222V230H409V-42H412Q429 -42 456 -36T521 -10T590 37T649 113T681 222"],8854:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM681 278Q669 385 591 463T381 542Q283 542 196 471T96 278V270H681V278ZM275 -42T388 -42T585 32T681 222V230H96V222Q108 107 191 33"],8855:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM582 471Q531 510 496 523Q446 542 381 542Q324 542 272 519T196 471L389 278L485 375L582 471ZM167 442Q95 362 95 250Q95 137 167 58L359 250L167 442ZM610 58Q682 138 682 250Q682 363 610 442L418 250L610 58ZM196 29Q209 16 230 2T295 -27T388 -42Q409 -42 429 -40T465 -33T496 -23T522 -11T544 1T561 13T574 22T582 29L388 222L196 29"],8856:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM582 471Q581 472 571 480T556 491T539 502T517 514T491 525T460 534T424 539T381 542Q272 542 184 460T95 251Q95 198 113 150T149 80L167 58L582 471ZM388 -42Q513 -42 597 44T682 250Q682 363 610 442L196 29Q209 16 229 2T295 -27T388 -42"],8857:[583,83,778,56,722,"56 250Q56 394 156 488T384 583Q530 583 626 485T722 250Q722 110 625 14T390 -83Q249 -83 153 14T56 250ZM682 250Q682 322 649 387T546 497T381 542Q272 542 184 459T95 250Q95 132 178 45T389 -42Q515 -42 598 45T682 250ZM311 250Q311 285 332 304T375 328Q376 328 382 328T392 329Q424 326 445 305T466 250Q466 217 445 195T389 172Q354 172 333 195T311 250"],8866:[695,0,611,55,555,"55 678Q55 679 56 681T58 684T61 688T65 691T70 693T77 694Q88 692 95 679V367H540Q555 359 555 347Q555 334 540 327H95V15Q88 2 77 0Q73 0 70 1T65 3T61 6T59 9T57 13T55 16V678"],8867:[695,0,611,54,555,"515 678Q515 679 516 681T518 684T521 688T525 691T530 693T537 694Q548 692 555 679V15Q548 2 537 0Q533 0 530 1T525 3T521 6T519 9T517 13T515 16V327H71Q70 327 67 329T59 336T55 347T59 358T66 365T71 367H515V678"],8868:[668,0,778,55,723,"55 642T55 648T59 659T66 666T71 668H708Q723 660 723 648T708 628H409V15Q402 2 391 0Q387 0 384 1T379 3T375 6T373 9T371 13T369 16V628H71Q70 628 67 630T59 637"],8869:[669,0,778,54,723,"369 652Q369 653 370 655T372 658T375 662T379 665T384 667T391 668Q402 666 409 653V40H708Q723 32 723 20T708 0H71Q70 0 67 2T59 9T55 20T59 31T66 38T71 40H369V652"],8872:[750,249,867,119,812,"139 -249H137Q125 -249 119 -235V251L120 737Q130 750 139 750Q152 750 159 735V367H796Q811 359 811 347Q811 336 797 328L479 327H161L159 328V172L161 173H797Q798 172 800 171T803 169T805 167T808 164T809 162T810 158T811 153Q811 140 796 133H159V-235Q151 -249 141 -249H139"],8900:[488,-12,500,12,488,"242 486Q245 488 250 488Q256 488 258 486Q262 484 373 373T486 258T488 250T486 242T373 127T258 14Q256 12 250 12Q245 12 242 14Q237 16 127 126T14 242Q12 245 12 250T14 258Q16 263 126 373T242 486ZM439 250L250 439L61 250L250 61L439 250"],8901:[310,-190,278,78,199,"78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250"],8902:[486,-16,500,3,497,"210 282Q210 284 225 381T241 480Q241 484 245 484Q249 486 251 486Q258 486 260 477T272 406Q275 390 276 380Q290 286 290 282L388 299Q484 314 487 314H488Q497 314 497 302Q497 297 434 266Q416 257 404 251L315 206L361 118Q372 98 383 75T401 40L407 28Q407 16 395 16Q394 16 392 16L390 17L250 159L110 17L108 16Q106 16 105 16Q93 16 93 28L99 40Q105 52 116 75T139 118L185 206L96 251Q6 296 4 300Q3 301 3 302Q3 314 12 314H13Q16 314 112 299L210 282"],8904:[505,5,900,26,873,"833 50T833 250T832 450T659 351T487 250T658 150T832 50Q833 50 833 250ZM873 10Q866 -5 854 -5Q851 -5 845 -3L449 226L260 115Q51 -5 43 -5Q39 -5 35 -1T28 7L26 11V489Q33 505 43 505Q51 505 260 385L449 274L845 503Q851 505 853 505Q866 505 873 490V10ZM412 250L67 450Q66 450 66 250T67 50Q69 51 240 150T412 250"],8942:[900,30,278,78,199,"78 30Q78 54 95 72T138 90Q162 90 180 74T199 31Q199 6 182 -12T139 -30T96 -13T78 30ZM78 440Q78 464 95 482T138 500Q162 500 180 484T199 441Q199 416 182 398T139 380T96 397T78 440ZM78 840Q78 864 95 882T138 900Q162 900 180 884T199 841Q199 816 182 798T139 780T96 797T78 840"],8943:[310,-190,1172,78,1093,"78 250Q78 274 95 292T138 310Q162 310 180 294T199 251Q199 226 182 208T139 190T96 207T78 250ZM525 250Q525 274 542 292T585 310Q609 310 627 294T646 251Q646 226 629 208T586 190T543 207T525 250ZM972 250Q972 274 989 292T1032 310Q1056 310 1074 294T1093 251Q1093 226 1076 208T1033 190T990 207T972 250"],8945:[820,-100,1282,133,1148,"133 760Q133 784 150 802T193 820Q217 820 235 804T254 761Q254 736 237 718T194 700T151 717T133 760ZM580 460Q580 484 597 502T640 520Q664 520 682 504T701 461Q701 436 684 418T641 400T598 417T580 460ZM1027 160Q1027 184 1044 202T1087 220Q1111 220 1129 204T1148 161Q1148 136 1131 118T1088 100T1045 117T1027 160"],8968:[750,250,444,174,422,"174 734Q178 746 190 750H298H369Q400 750 411 747T422 730T411 713T372 709Q365 709 345 709T310 710H214V-235Q206 -248 196 -250Q192 -250 189 -249T184 -247T180 -244T178 -241T176 -237T174 -234V734"],8969:[750,250,444,21,269,"21 717T21 730T32 746T75 750H147H256Q266 742 269 735V-235Q262 -248 251 -250Q247 -250 244 -249T239 -247T235 -244T233 -241T231 -237T229 -234V710H133Q119 710 99 710T71 709Q43 709 32 713"],8970:[751,251,444,174,423,"174 734Q174 735 175 737T177 740T180 744T184 747T189 749T196 750Q206 748 214 735V-210H310H373Q401 -210 411 -213T422 -230T411 -247T369 -251Q362 -251 338 -251T298 -250H190Q178 -246 174 -234V734"],8971:[751,250,444,21,269,"229 734Q229 735 230 737T232 740T235 744T239 747T244 749T251 750Q262 748 269 735V-235Q266 -240 256 -249L147 -250H77Q43 -250 32 -247T21 -230T32 -213T72 -209Q79 -209 99 -209T133 -210H229V734"],8994:[388,-122,1000,55,944,"55 141Q55 149 72 174T125 234T209 303T329 360T478 388H526Q649 383 765 319Q814 291 858 250T923 179T944 141Q944 133 938 128T924 122Q914 124 912 125T902 139Q766 328 500 328Q415 328 342 308T225 258T150 199T102 148T84 124Q81 122 75 122Q55 127 55 141"],8995:[378,-134,1000,55,944,"923 378Q944 378 944 358Q944 345 912 311T859 259Q710 134 500 134Q288 134 140 259Q55 336 55 358Q55 366 61 372T75 378Q78 378 84 376Q86 376 101 356T147 310T221 257T339 212T500 193Q628 193 734 236Q841 282 903 363Q914 378 923 378"],9136:[744,244,412,56,357,"357 741V726Q357 720 349 715Q261 655 242 539Q240 526 240 454T239 315T239 247Q240 235 240 124V40Q240 -17 233 -53T201 -130Q155 -206 78 -244H69H64Q58 -244 57 -243T56 -234Q56 -232 56 -231V-225Q56 -218 63 -215Q153 -153 170 -39Q172 -25 173 119V219Q173 245 174 249Q173 258 173 376V460Q173 515 178 545T201 611Q244 695 327 741L334 744H354L357 741"],9137:[744,244,412,55,357,"78 744Q153 706 196 640T239 492V376Q239 341 239 314T238 271T238 253Q239 251 239 223V119V49Q239 -39 254 -85Q263 -111 275 -134T301 -172T326 -197T346 -213T356 -221T357 -232V-241L354 -244H334Q264 -209 222 -146T174 -12Q173 -6 173 95Q173 134 173 191T174 250Q173 258 173 382V451Q173 542 159 585Q145 626 120 658T75 706T56 723V731Q56 741 57 742T66 744H78"],10216:[750,250,389,109,333,"333 -232Q332 -239 327 -244T313 -250Q303 -250 296 -240Q293 -233 202 6T110 250T201 494T296 740Q299 745 306 749L309 750Q312 750 313 750Q331 750 333 732Q333 727 243 489Q152 252 152 250T243 11Q333 -227 333 -232"],10217:[750,250,389,55,279,"55 732Q56 739 61 744T75 750Q85 750 92 740Q95 733 186 494T278 250T187 6T92 -240Q85 -250 75 -250Q67 -250 62 -245T55 -232Q55 -227 145 11Q236 248 236 250T145 489Q55 727 55 732"],10222:[744,244,412,173,357,"357 741V726Q357 720 349 715Q261 655 242 539Q240 526 240 394V331Q240 259 239 250Q240 242 240 119V49Q240 -42 254 -85Q263 -111 275 -134T301 -172T326 -197T346 -213T356 -221T357 -232V-241L354 -244H334Q264 -209 222 -146T174 -12Q173 -6 173 95Q173 134 173 191T174 250Q173 260 173 376V460Q173 515 178 545T201 611Q244 695 327 741L334 744H354L357 741"],10223:[744,244,412,55,240,"78 744Q153 706 196 640T239 492V376Q239 339 239 311T238 269T238 252Q240 236 240 124V40Q240 -18 233 -53T202 -130Q156 -206 79 -244H70H65Q58 -244 57 -242T56 -231T57 -220T64 -215Q153 -154 170 -39Q173 -18 174 119V247Q173 249 173 382V451Q173 542 159 585Q145 626 120 658T75 706T56 723V731Q56 741 57 742T66 744H78"],10229:[511,11,1609,55,1525,"165 270H1510Q1525 262 1525 250T1510 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270"],10230:[511,11,1638,84,1553,"84 237T84 250T98 270H1444Q1328 357 1301 493Q1301 494 1301 496T1300 499Q1300 511 1317 511H1320Q1329 511 1332 510T1338 506T1341 497T1344 481T1352 456Q1374 389 1425 336T1544 261Q1553 258 1553 250Q1553 244 1548 241T1524 231T1486 212Q1445 186 1415 152T1370 85T1349 35T1341 4Q1339 -6 1336 -8T1320 -11Q1300 -11 1300 0Q1300 7 1305 25Q1337 151 1444 230H98Q84 237 84 250"],10231:[511,11,1859,55,1803,"165 270H1694Q1578 357 1551 493Q1551 494 1551 496T1550 499Q1550 511 1567 511H1570Q1579 511 1582 510T1588 506T1591 497T1594 481T1602 456Q1624 389 1675 336T1794 261Q1803 258 1803 250Q1803 244 1798 241T1774 231T1736 212Q1695 186 1665 152T1620 85T1599 35T1591 4Q1589 -6 1586 -8T1570 -11Q1550 -11 1550 0Q1550 7 1555 25Q1587 151 1694 230H165Q167 228 182 216T211 189T244 152T277 96T303 25Q308 7 308 0Q308 -11 288 -11Q281 -11 278 -11T272 -7T267 2T263 21Q245 94 195 151T73 236Q58 242 55 247Q55 254 59 257T73 264Q121 283 158 314T215 375T247 434T264 480L267 497Q269 503 270 505T275 509T288 511Q308 511 308 500Q308 493 303 475Q293 438 278 406T246 352T215 315T185 287T165 270"],10232:[525,24,1609,56,1554,"274 173H1539Q1540 172 1542 171T1545 169T1547 167T1550 164T1551 162T1552 158T1553 153Q1553 140 1538 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H1538Q1553 359 1553 347Q1553 336 1539 328L1221 327H903L900 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173"],10233:[525,24,1638,56,1582,"1218 514Q1218 525 1234 525Q1239 525 1242 525T1247 525T1251 524T1253 523T1255 520T1257 517T1260 512Q1297 438 1358 381T1469 300T1565 263Q1582 258 1582 250T1573 239T1536 228T1478 204Q1334 134 1260 -12Q1256 -21 1253 -22T1238 -24Q1218 -24 1218 -17Q1218 -13 1223 0Q1258 69 1309 123L1319 133H70Q56 140 56 153Q56 168 72 173H1363L1373 181Q1412 211 1490 250Q1489 251 1472 259T1427 283T1373 319L1363 327H710L707 328L390 327H72Q56 332 56 347Q56 360 70 367H1319L1309 377Q1276 412 1247 458T1218 514"],10234:[525,24,1858,56,1802,"1438 514Q1438 525 1454 525Q1459 525 1462 525T1467 525T1471 524T1473 523T1475 520T1477 517T1480 512Q1517 438 1578 381T1689 300T1785 263Q1802 258 1802 250T1793 239T1756 228T1698 204Q1554 134 1480 -12Q1476 -21 1473 -22T1458 -24Q1438 -24 1438 -17Q1438 -13 1443 0Q1478 69 1529 123L1539 133H318L328 123Q379 69 414 0Q419 -13 419 -17Q419 -24 399 -24Q388 -24 385 -23T377 -12Q332 77 253 144T72 237Q62 240 59 242T56 250T59 257T70 262T89 268T119 278T160 296Q303 366 377 512Q382 522 385 523T401 525Q419 524 419 515Q419 510 414 500Q379 431 328 377L318 367H1539L1529 377Q1496 412 1467 458T1438 514ZM274 173H1583L1593 181Q1632 211 1710 250Q1709 251 1692 259T1647 283T1593 319L1583 327H930L927 328L602 327H274L264 319Q225 289 147 250Q148 249 165 241T210 217T264 181L274 173"],10236:[511,11,1638,54,1553,"95 155V109Q95 83 92 73T75 63Q61 63 58 74T54 130Q54 140 54 180T55 250Q55 421 57 425Q61 437 75 437Q88 437 91 428T95 393V345V270H1444Q1328 357 1301 493Q1301 494 1301 496T1300 499Q1300 511 1317 511H1320Q1329 511 1332 510T1338 506T1341 497T1344 481T1352 456Q1374 389 1425 336T1544 261Q1553 258 1553 250Q1553 244 1548 241T1524 231T1486 212Q1445 186 1415 152T1370 85T1349 35T1341 4Q1339 -6 1336 -8T1320 -11Q1300 -11 1300 0Q1300 7 1305 25Q1337 151 1444 230H95V155"],10927:[636,138,778,84,694,"84 346Q84 359 91 363T117 367Q120 367 126 367T137 366Q388 370 512 430T653 609Q657 636 676 636Q685 635 689 629T694 618V612Q689 566 672 528T626 463T569 417T500 383T435 362T373 346Q379 345 404 339T440 330T477 318T533 296Q592 266 630 223T681 145T694 78Q694 57 674 57Q662 57 657 67T652 92T640 135T606 191Q500 320 137 326H114Q104 326 98 327T88 332T84 346ZM84 -131T84 -118T98 -98H679Q694 -106 694 -118T679 -138H98Q84 -131 84 -118"],10928:[636,138,778,83,694,"84 614Q84 636 102 636Q115 636 119 626T125 600T137 556T171 501Q277 372 640 366H661Q694 366 694 346T661 326H640Q578 325 526 321T415 307T309 280T222 237T156 172T124 83Q122 66 118 62T103 57Q100 57 98 57T95 58T93 59T90 62T85 67Q83 71 83 80Q88 126 105 164T151 229T208 275T277 309T342 330T404 346Q401 347 380 351T345 360T302 373T245 396Q125 455 92 565Q84 599 84 614ZM84 -131T84 -118T98 -98H679Q694 -106 694 -118T679 -138H98Q84 -131 84 -118"]};o.FONTDATA.FONTS["MathJax_Math-italic"]={directory:"Math/Italic",family:"MathJax_Math",id:"MJMATHI",style:"italic",skew:{65:0.139,66:0.0833,67:0.0833,68:0.0556,69:0.0833,70:0.0833,71:0.0833,72:0.0556,73:0.111,74:0.167,75:0.0556,76:0.0278,77:0.0833,78:0.0833,79:0.0833,80:0.0833,81:0.0833,82:0.0833,83:0.0833,84:0.0833,85:0.0278,88:0.0833,90:0.0833,99:0.0556,100:0.167,101:0.0556,102:0.167,103:0.0278,104:-0.0278,108:0.0833,111:0.0556,112:0.0833,113:0.0833,114:0.0556,115:0.0556,116:0.0833,117:0.0278,118:0.0278,119:0.0833,120:0.0278,121:0.0556,122:0.0556,915:0.0833,916:0.167,920:0.0833,923:0.167,926:0.0833,928:0.0556,931:0.0833,933:0.0556,934:0.0833,936:0.0556,937:0.0833,945:0.0278,946:0.0833,948:0.0556,949:0.0833,950:0.0833,951:0.0556,952:0.0833,953:0.0556,956:0.0278,957:0.0278,958:0.111,959:0.0556,961:0.0833,962:0.0833,964:0.0278,965:0.0278,966:0.0833,967:0.0556,968:0.111,977:0.0833,981:0.0833,1009:0.0833,1013:0.0556},32:[0,0,250,0,0,""],47:[716,215,778,139,638,"166 -215T159 -215T147 -212T141 -204T139 -197Q139 -190 144 -183Q157 -157 378 274T602 707Q605 716 618 716Q625 716 630 712T636 703T638 696Q638 691 406 241T170 -212Q166 -215 159 -215"],65:[716,0,750,35,726,"208 74Q208 50 254 46Q272 46 272 35Q272 34 270 22Q267 8 264 4T251 0Q249 0 239 0T205 1T141 2Q70 2 50 0H42Q35 7 35 11Q37 38 48 46H62Q132 49 164 96Q170 102 345 401T523 704Q530 716 547 716H555H572Q578 707 578 706L606 383Q634 60 636 57Q641 46 701 46Q726 46 726 36Q726 34 723 22Q720 7 718 4T704 0Q701 0 690 0T651 1T578 2Q484 2 455 0H443Q437 6 437 9T439 27Q443 40 445 43L449 46H469Q523 49 533 63L521 213H283L249 155Q208 86 208 74ZM516 260Q516 271 504 416T490 562L463 519Q447 492 400 412L310 260L413 259Q516 259 516 260"],66:[683,0,759,35,756,"231 637Q204 637 199 638T194 649Q194 676 205 682Q206 683 335 683Q594 683 608 681Q671 671 713 636T756 544Q756 480 698 429T565 360L555 357Q619 348 660 311T702 219Q702 146 630 78T453 1Q446 0 242 0Q42 0 39 2Q35 5 35 10Q35 17 37 24Q42 43 47 45Q51 46 62 46H68Q95 46 128 49Q142 52 147 61Q150 65 219 339T288 628Q288 635 231 637ZM649 544Q649 574 634 600T585 634Q578 636 493 637Q473 637 451 637T416 636H403Q388 635 384 626Q382 622 352 506Q352 503 351 500L320 374H401Q482 374 494 376Q554 386 601 434T649 544ZM595 229Q595 273 572 302T512 336Q506 337 429 337Q311 337 310 336Q310 334 293 263T258 122L240 52Q240 48 252 48T333 46Q422 46 429 47Q491 54 543 105T595 229"],67:[705,22,715,50,760,"50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q484 659 454 652T382 628T299 572T226 479Q194 422 175 346T156 222Q156 108 232 58Q280 24 350 24Q441 24 512 92T606 240Q610 253 612 255T628 257Q648 257 648 248Q648 243 647 239Q618 132 523 55T319 -22Q206 -22 128 53T50 252"],68:[683,0,828,33,803,"287 628Q287 635 230 637Q207 637 200 638T193 647Q193 655 197 667T204 682Q206 683 403 683Q570 682 590 682T630 676Q702 659 752 597T803 431Q803 275 696 151T444 3L430 1L236 0H125H72Q48 0 41 2T33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM703 469Q703 507 692 537T666 584T629 613T590 629T555 636Q553 636 541 636T512 636T479 637H436Q392 637 386 627Q384 623 313 339T242 52Q242 48 253 48T330 47Q335 47 349 47T373 46Q499 46 581 128Q617 164 640 212T683 339T703 469"],69:[680,0,738,31,764,"492 213Q472 213 472 226Q472 230 477 250T482 285Q482 316 461 323T364 330H312Q311 328 277 192T243 52Q243 48 254 48T334 46Q428 46 458 48T518 61Q567 77 599 117T670 248Q680 270 683 272Q690 274 698 274Q718 274 718 261Q613 7 608 2Q605 0 322 0H133Q31 0 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H757Q764 676 764 669Q764 664 751 557T737 447Q735 440 717 440H705Q698 445 698 453L701 476Q704 500 704 528Q704 558 697 578T678 609T643 625T596 632T532 634H485Q397 633 392 631Q388 629 386 622Q385 619 355 499T324 377Q347 376 372 376H398Q464 376 489 391T534 472Q538 488 540 490T557 493Q562 493 565 493T570 492T572 491T574 487T577 483L544 351Q511 218 508 216Q505 213 492 213"],70:[680,0,643,31,749,"48 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 659Q197 676 203 680H742Q749 676 749 669Q749 664 736 557T722 447Q720 440 702 440H690Q683 445 683 453Q683 454 686 477T689 530Q689 560 682 579T663 610T626 626T575 633T503 634H480Q398 633 393 631Q388 629 386 623Q385 622 352 492L320 363H375Q378 363 398 363T426 364T448 367T472 374T489 386Q502 398 511 419T524 457T529 475Q532 480 548 480H560Q567 475 567 470Q567 467 536 339T502 207Q500 200 482 200H470Q463 206 463 212Q463 215 468 234T473 274Q473 303 453 310T364 317H309L277 190Q245 66 245 60Q245 46 334 46H359Q365 40 365 39T363 19Q359 6 353 0H336Q295 2 185 2Q120 2 86 2T48 1"],71:[705,22,786,50,760,"50 252Q50 367 117 473T286 641T490 704Q580 704 633 653Q642 643 648 636T656 626L657 623Q660 623 684 649Q691 655 699 663T715 679T725 690L740 705H746Q760 705 760 698Q760 694 728 561Q692 422 692 421Q690 416 687 415T669 413H653Q647 419 647 422Q647 423 648 429T650 449T651 481Q651 552 619 605T510 659Q492 659 471 656T418 643T357 615T294 567T236 496T189 394T158 260Q156 242 156 221Q156 173 170 136T206 79T256 45T308 28T353 24Q407 24 452 47T514 106Q517 114 529 161T541 214Q541 222 528 224T468 227H431Q425 233 425 235T427 254Q431 267 437 273H454Q494 271 594 271Q634 271 659 271T695 272T707 272Q721 272 721 263Q721 261 719 249Q714 230 709 228Q706 227 694 227Q674 227 653 224Q646 221 643 215T629 164Q620 131 614 108Q589 6 586 3Q584 1 581 1Q571 1 553 21T530 52Q530 53 528 52T522 47Q448 -22 322 -22Q201 -22 126 55T50 252"],72:[683,0,831,31,888,"228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 219 683Q260 681 355 681Q389 681 418 681T463 682T483 682Q499 682 499 672Q499 670 497 658Q492 641 487 638H485Q483 638 480 638T473 638T464 637T455 637Q416 636 405 634T387 623Q384 619 355 500Q348 474 340 442T328 395L324 380Q324 378 469 378H614L615 381Q615 384 646 504Q674 619 674 627T617 637Q594 637 587 639T580 648Q580 650 582 660Q586 677 588 679T604 682Q609 682 646 681T740 680Q802 680 835 681T871 682Q888 682 888 672Q888 645 876 638H874Q872 638 869 638T862 638T853 637T844 637Q805 636 794 634T776 623Q773 618 704 340T634 58Q634 51 638 51Q646 48 692 46H723Q729 38 729 37T726 19Q722 6 716 0H701Q664 2 567 2Q533 2 504 2T458 2T437 1Q420 1 420 10Q420 15 423 24Q428 43 433 45Q437 46 448 46H454Q481 46 514 49Q520 50 522 50T528 55T534 64T540 82T547 110T558 153Q565 181 569 198Q602 330 602 331T457 332H312L279 197Q245 63 245 58Q245 51 253 49T303 46H334Q340 38 340 37T337 19Q333 6 327 0H312Q275 2 178 2Q144 2 115 2T69 2T48 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637"],73:[683,0,440,26,504,"43 1Q26 1 26 10Q26 12 29 24Q34 43 39 45Q42 46 54 46H60Q120 46 136 53Q137 53 138 54Q143 56 149 77T198 273Q210 318 216 344Q286 624 286 626Q284 630 284 631Q274 637 213 637H193Q184 643 189 662Q193 677 195 680T209 683H213Q285 681 359 681Q481 681 487 683H497Q504 676 504 672T501 655T494 639Q491 637 471 637Q440 637 407 634Q393 631 388 623Q381 609 337 432Q326 385 315 341Q245 65 245 59Q245 52 255 50T307 46H339Q345 38 345 37T342 19Q338 6 332 0H316Q279 2 179 2Q143 2 113 2T65 2T43 1"],74:[683,22,555,57,633,"447 625Q447 637 354 637H329Q323 642 323 645T325 664Q329 677 335 683H352Q393 681 498 681Q541 681 568 681T605 682T619 682Q633 682 633 672Q633 670 630 658Q626 642 623 640T604 637Q552 637 545 623Q541 610 483 376Q420 128 419 127Q397 64 333 21T195 -22Q137 -22 97 8T57 88Q57 130 80 152T132 174Q177 174 182 130Q182 98 164 80T123 56Q115 54 115 53T122 44Q148 15 197 15Q235 15 271 47T324 130Q328 142 387 380T447 625"],75:[683,0,849,31,889,"285 628Q285 635 228 637Q205 637 198 638T191 647Q191 649 193 661Q199 681 203 682Q205 683 214 683H219Q260 681 355 681Q389 681 418 681T463 682T483 682Q500 682 500 674Q500 669 497 660Q496 658 496 654T495 648T493 644T490 641T486 639T479 638T470 637T456 637Q416 636 405 634T387 623L306 305Q307 305 490 449T678 597Q692 611 692 620Q692 635 667 637Q651 637 651 648Q651 650 654 662T659 677Q662 682 676 682Q680 682 711 681T791 680Q814 680 839 681T869 682Q889 682 889 672Q889 650 881 642Q878 637 862 637Q787 632 726 586Q710 576 656 534T556 455L509 418L518 396Q527 374 546 329T581 244Q656 67 661 61Q663 59 666 57Q680 47 717 46H738Q744 38 744 37T741 19Q737 6 731 0H720Q680 3 625 3Q503 3 488 0H478Q472 6 472 9T474 27Q478 40 480 43T491 46H494Q544 46 544 71Q544 75 517 141T485 216L427 354L359 301L291 248L268 155Q245 63 245 58Q245 51 253 49T303 46H334Q340 37 340 35Q340 19 333 5Q328 0 317 0Q314 0 280 1T180 2Q118 2 85 2T49 1Q31 1 31 11Q31 13 34 25Q38 41 42 43T65 46Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628"],76:[683,2,681,32,647,"228 637Q194 637 192 641Q191 643 191 649Q191 673 202 682Q204 683 217 683Q271 680 344 680Q485 680 506 683H518Q524 677 524 674T522 656Q517 641 513 637H475Q406 636 394 628Q387 624 380 600T313 336Q297 271 279 198T252 88L243 52Q243 48 252 48T311 46H328Q360 46 379 47T428 54T478 72T522 106T564 161Q580 191 594 228T611 270Q616 273 628 273H641Q647 264 647 262T627 203T583 83T557 9Q555 4 553 3T537 0T494 -1Q483 -1 418 -1T294 0H116Q32 0 32 10Q32 17 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q147 65 216 339T285 628Q285 635 228 637"],77:[684,0,970,35,1051,"289 629Q289 635 232 637Q208 637 201 638T194 648Q194 649 196 659Q197 662 198 666T199 671T201 676T203 679T207 681T212 683T220 683T232 684Q238 684 262 684T307 683Q386 683 398 683T414 678Q415 674 451 396L487 117L510 154Q534 190 574 254T662 394Q837 673 839 675Q840 676 842 678T846 681L852 683H948Q965 683 988 683T1017 684Q1051 684 1051 673Q1051 668 1048 656T1045 643Q1041 637 1008 637Q968 636 957 634T939 623Q936 618 867 340T797 59Q797 55 798 54T805 50T822 48T855 46H886Q892 37 892 35Q892 19 885 5Q880 0 869 0Q864 0 828 1T736 2Q675 2 644 2T609 1Q592 1 592 11Q592 13 594 25Q598 41 602 43T625 46Q652 46 685 49Q699 52 704 61Q706 65 742 207T813 490T848 631L654 322Q458 10 453 5Q451 4 449 3Q444 0 433 0Q418 0 415 7Q413 11 374 317L335 624L267 354Q200 88 200 79Q206 46 272 46H282Q288 41 289 37T286 19Q282 3 278 1Q274 0 267 0Q265 0 255 0T221 1T157 2Q127 2 95 1T58 0Q43 0 39 2T35 11Q35 13 38 25T43 40Q45 46 65 46Q135 46 154 86Q158 92 223 354T289 629"],78:[683,0,803,31,888,"234 637Q231 637 226 637Q201 637 196 638T191 649Q191 676 202 682Q204 683 299 683Q376 683 387 683T401 677Q612 181 616 168L670 381Q723 592 723 606Q723 633 659 637Q635 637 635 648Q635 650 637 660Q641 676 643 679T653 683Q656 683 684 682T767 680Q817 680 843 681T873 682Q888 682 888 672Q888 650 880 642Q878 637 858 637Q787 633 769 597L620 7Q618 0 599 0Q585 0 582 2Q579 5 453 305L326 604L261 344Q196 88 196 79Q201 46 268 46H278Q284 41 284 38T282 19Q278 6 272 0H259Q228 2 151 2Q123 2 100 2T63 2T46 1Q31 1 31 10Q31 14 34 26T39 40Q41 46 62 46Q130 49 150 85Q154 91 221 362L289 634Q287 635 234 637"],79:[704,22,763,50,740,"740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM637 476Q637 565 591 615T476 665Q396 665 322 605Q242 542 200 428T157 216Q157 126 200 73T314 19Q404 19 485 98T608 313Q637 408 637 476"],80:[683,0,642,33,751,"287 628Q287 635 230 637Q206 637 199 638T192 648Q192 649 194 659Q200 679 203 681T397 683Q587 682 600 680Q664 669 707 631T751 530Q751 453 685 389Q616 321 507 303Q500 302 402 301H307L277 182Q247 66 247 59Q247 55 248 54T255 50T272 48T305 46H336Q342 37 342 35Q342 19 335 5Q330 0 319 0Q316 0 282 1T182 2Q120 2 87 2T51 1Q33 1 33 11Q33 13 36 25Q40 41 44 43T67 46Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628ZM645 554Q645 567 643 575T634 597T609 619T560 635Q553 636 480 637Q463 637 445 637T416 636T404 636Q391 635 386 627Q384 621 367 550T332 412T314 344Q314 342 395 342H407H430Q542 342 590 392Q617 419 631 471T645 554"],81:[704,194,791,50,740,"399 -80Q399 -47 400 -30T402 -11V-7L387 -11Q341 -22 303 -22Q208 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435Q740 255 592 107Q529 47 461 16L444 8V3Q444 2 449 -24T470 -66T516 -82Q551 -82 583 -60T625 -3Q631 11 638 11Q647 11 649 2Q649 -6 639 -34T611 -100T557 -165T481 -194Q399 -194 399 -87V-80ZM636 468Q636 523 621 564T580 625T530 655T477 665Q429 665 379 640Q277 591 215 464T153 216Q153 110 207 59Q231 38 236 38V46Q236 86 269 120T347 155Q372 155 390 144T417 114T429 82T435 55L448 64Q512 108 557 185T619 334T636 468ZM314 18Q362 18 404 39L403 49Q399 104 366 115Q354 117 347 117Q344 117 341 117T337 118Q317 118 296 98T274 52Q274 18 314 18"],82:[683,21,759,33,755,"230 637Q203 637 198 638T193 649Q193 676 204 682Q206 683 378 683Q550 682 564 680Q620 672 658 652T712 606T733 563T739 529Q739 484 710 445T643 385T576 351T538 338L545 333Q612 295 612 223Q612 212 607 162T602 80V71Q602 53 603 43T614 25T640 16Q668 16 686 38T712 85Q717 99 720 102T735 105Q755 105 755 93Q755 75 731 36Q693 -21 641 -21H632Q571 -21 531 4T487 82Q487 109 502 166T517 239Q517 290 474 313Q459 320 449 321T378 323H309L277 193Q244 61 244 59Q244 55 245 54T252 50T269 48T302 46H333Q339 38 339 37T336 19Q332 6 326 0H311Q275 2 180 2Q146 2 117 2T71 2T50 1Q33 1 33 10Q33 12 36 24Q41 43 46 45Q50 46 61 46H67Q94 46 127 49Q141 52 146 61Q149 65 218 339T287 628Q287 635 230 637ZM630 554Q630 586 609 608T523 636Q521 636 500 636T462 637H440Q393 637 386 627Q385 624 352 494T319 361Q319 360 388 360Q466 361 492 367Q556 377 592 426Q608 449 619 486T630 554"],83:[705,22,613,52,645,"308 24Q367 24 416 76T466 197Q466 260 414 284Q308 311 278 321T236 341Q176 383 176 462Q176 523 208 573T273 648Q302 673 343 688T407 704H418H425Q521 704 564 640Q565 640 577 653T603 682T623 704Q624 704 627 704T632 705Q645 705 645 698T617 577T585 459T569 456Q549 456 549 465Q549 471 550 475Q550 478 551 494T553 520Q553 554 544 579T526 616T501 641Q465 662 419 662Q362 662 313 616T263 510Q263 480 278 458T319 427Q323 425 389 408T456 390Q490 379 522 342T554 242Q554 216 546 186Q541 164 528 137T492 78T426 18T332 -20Q320 -22 298 -22Q199 -22 144 33L134 44L106 13Q83 -14 78 -18T65 -22Q52 -22 52 -14Q52 -11 110 221Q112 227 130 227H143Q149 221 149 216Q149 214 148 207T144 186T142 153Q144 114 160 87T203 47T255 29T308 24"],84:[677,0,584,21,704,"40 437Q21 437 21 445Q21 450 37 501T71 602L88 651Q93 669 101 677H569H659Q691 677 697 676T704 667Q704 661 687 553T668 444Q668 437 649 437Q640 437 637 437T631 442L629 445Q629 451 635 490T641 551Q641 586 628 604T573 629Q568 630 515 631Q469 631 457 630T439 622Q438 621 368 343T298 60Q298 48 386 46Q418 46 427 45T436 36Q436 31 433 22Q429 4 424 1L422 0Q419 0 415 0Q410 0 363 1T228 2Q99 2 64 0H49Q43 6 43 9T45 27Q49 40 55 46H83H94Q174 46 189 55Q190 56 191 56Q196 59 201 76T241 233Q258 301 269 344Q339 619 339 625Q339 630 310 630H279Q212 630 191 624Q146 614 121 583T67 467Q60 445 57 441T43 437H40"],85:[683,22,683,60,767,"107 637Q73 637 71 641Q70 643 70 649Q70 673 81 682Q83 683 98 683Q139 681 234 681Q268 681 297 681T342 682T362 682Q378 682 378 672Q378 670 376 658Q371 641 366 638H364Q362 638 359 638T352 638T343 637T334 637Q295 636 284 634T266 623Q265 621 238 518T184 302T154 169Q152 155 152 140Q152 86 183 55T269 24Q336 24 403 69T501 205L552 406Q599 598 599 606Q599 633 535 637Q511 637 511 648Q511 650 513 660Q517 676 519 679T529 683Q532 683 561 682T645 680Q696 680 723 681T752 682Q767 682 767 672Q767 650 759 642Q756 637 737 637Q666 633 648 597Q646 592 598 404Q557 235 548 205Q515 105 433 42T263 -22Q171 -22 116 34T60 167V183Q60 201 115 421Q164 622 164 628Q164 635 107 637"],86:[683,22,583,52,769,"52 648Q52 670 65 683H76Q118 680 181 680Q299 680 320 683H330Q336 677 336 674T334 656Q329 641 325 637H304Q282 635 274 635Q245 630 242 620Q242 618 271 369T301 118L374 235Q447 352 520 471T595 594Q599 601 599 609Q599 633 555 637Q537 637 537 648Q537 649 539 661Q542 675 545 679T558 683Q560 683 570 683T604 682T668 681Q737 681 755 683H762Q769 676 769 672Q769 655 760 640Q757 637 743 637Q730 636 719 635T698 630T682 623T670 615T660 608T652 599T645 592L452 282Q272 -9 266 -16Q263 -18 259 -21L241 -22H234Q216 -22 216 -15Q213 -9 177 305Q139 623 138 626Q133 637 76 637H59Q52 642 52 648"],87:[683,22,944,51,1048,"436 683Q450 683 486 682T553 680Q604 680 638 681T677 682Q695 682 695 674Q695 670 692 659Q687 641 683 639T661 637Q636 636 621 632T600 624T597 615Q597 603 613 377T629 138L631 141Q633 144 637 151T649 170T666 200T690 241T720 295T759 362Q863 546 877 572T892 604Q892 619 873 628T831 637Q817 637 817 647Q817 650 819 660Q823 676 825 679T839 682Q842 682 856 682T895 682T949 681Q1015 681 1034 683Q1048 683 1048 672Q1048 666 1045 655T1038 640T1028 637Q1006 637 988 631T958 617T939 600T927 584L923 578L754 282Q586 -14 585 -15Q579 -22 561 -22Q546 -22 542 -17Q539 -14 523 229T506 480L494 462Q472 425 366 239Q222 -13 220 -15T215 -19Q210 -22 197 -22Q178 -22 176 -15Q176 -12 154 304T131 622Q129 631 121 633T82 637H58Q51 644 51 648Q52 671 64 683H76Q118 680 176 680Q301 680 313 683H323Q329 677 329 674T327 656Q322 641 318 637H297Q236 634 232 620Q262 160 266 136L501 550L499 587Q496 629 489 632Q483 636 447 637Q428 637 422 639T416 648Q416 650 418 660Q419 664 420 669T421 676T424 680T428 682T436 683"],88:[683,0,828,26,852,"42 0H40Q26 0 26 11Q26 15 29 27Q33 41 36 43T55 46Q141 49 190 98Q200 108 306 224T411 342Q302 620 297 625Q288 636 234 637H206Q200 643 200 645T202 664Q206 677 212 683H226Q260 681 347 681Q380 681 408 681T453 682T473 682Q490 682 490 671Q490 670 488 658Q484 643 481 640T465 637Q434 634 411 620L488 426L541 485Q646 598 646 610Q646 628 622 635Q617 635 609 637Q594 637 594 648Q594 650 596 664Q600 677 606 683H618Q619 683 643 683T697 681T738 680Q828 680 837 683H845Q852 676 852 672Q850 647 840 637H824Q790 636 763 628T722 611T698 593L687 584Q687 585 592 480L505 384Q505 383 536 304T601 142T638 56Q648 47 699 46Q734 46 734 37Q734 35 732 23Q728 7 725 4T711 1Q708 1 678 1T589 2Q528 2 496 2T461 1Q444 1 444 10Q444 11 446 25Q448 35 450 39T455 44T464 46T480 47T506 54Q523 62 523 64Q522 64 476 181L429 299Q241 95 236 84Q232 76 232 72Q232 53 261 47Q262 47 267 47T273 46Q276 46 277 46T280 45T283 42T284 35Q284 26 282 19Q279 6 276 4T261 1Q258 1 243 1T201 2T142 2Q64 2 42 0"],89:[683,-1,581,30,763,"66 637Q54 637 49 637T39 638T32 641T30 647T33 664T42 682Q44 683 56 683Q104 680 165 680Q288 680 306 683H316Q322 677 322 674T320 656Q316 643 310 637H298Q242 637 242 624Q242 619 292 477T343 333L346 336Q350 340 358 349T379 373T411 410T454 461Q546 568 561 587T577 618Q577 634 545 637Q528 637 528 647Q528 649 530 661Q533 676 535 679T549 683Q551 683 578 682T657 680Q684 680 713 681T746 682Q763 682 763 673Q763 669 760 657T755 643Q753 637 734 637Q662 632 617 587Q608 578 477 424L348 273L322 169Q295 62 295 57Q295 46 363 46Q379 46 384 45T390 35Q390 33 388 23Q384 6 382 4T366 1Q361 1 324 1T232 2Q170 2 138 2T102 1Q84 1 84 9Q84 14 87 24Q88 27 89 30T90 35T91 39T93 42T96 44T101 45T107 45T116 46T129 46Q168 47 180 50T198 63Q201 68 227 171L252 274L129 623Q128 624 127 625T125 627T122 629T118 631T113 633T105 634T96 635T83 636T66 637"],90:[683,0,683,58,723,"58 8Q58 23 64 35Q64 36 329 334T596 635L586 637Q575 637 512 637H500H476Q442 637 420 635T365 624T311 598T266 548T228 469Q227 466 226 463T224 458T223 453T222 450L221 448Q218 443 202 443Q185 443 182 453L214 561Q228 606 241 651Q249 679 253 681Q256 683 487 683H718Q723 678 723 675Q723 673 717 649Q189 54 188 52L185 49H274Q369 50 377 51Q452 60 500 100T579 247Q587 272 590 277T603 282H607Q628 282 628 271Q547 5 541 2Q538 0 300 0H124Q58 0 58 8"],97:[441,10,529,33,506,"33 157Q33 258 109 349T280 441Q331 441 370 392Q386 422 416 422Q429 422 439 414T449 394Q449 381 412 234T374 68Q374 43 381 35T402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487Q506 153 506 144Q506 138 501 117T481 63T449 13Q436 0 417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157ZM351 328Q351 334 346 350T323 385T277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q217 26 254 59T298 110Q300 114 325 217T351 328"],98:[694,11,429,40,422,"73 647Q73 657 77 670T89 683Q90 683 161 688T234 694Q246 694 246 685T212 542Q204 508 195 472T180 418L176 399Q176 396 182 402Q231 442 283 442Q345 442 383 396T422 280Q422 169 343 79T173 -11Q123 -11 82 27T40 150V159Q40 180 48 217T97 414Q147 611 147 623T109 637Q104 637 101 637H96Q86 637 83 637T76 640T73 647ZM336 325V331Q336 405 275 405Q258 405 240 397T207 376T181 352T163 330L157 322L136 236Q114 150 114 114Q114 66 138 42Q154 26 178 26Q211 26 245 58Q270 81 285 114T318 219Q336 291 336 325"],99:[442,12,433,34,430,"34 159Q34 268 120 355T306 442Q362 442 394 418T427 355Q427 326 408 306T360 285Q341 285 330 295T319 325T330 359T352 380T366 386H367Q367 388 361 392T340 400T306 404Q276 404 249 390Q228 381 206 359Q162 315 142 235T121 119Q121 73 147 50Q169 26 205 26H209Q321 26 394 111Q403 121 406 121Q410 121 419 112T429 98T420 83T391 55T346 25T282 0T202 -11Q127 -11 81 37T34 159"],100:[694,10,520,33,523,"366 683Q367 683 438 688T511 694Q523 694 523 686Q523 679 450 384T375 83T374 68Q374 26 402 26Q411 27 422 35Q443 55 463 131Q469 151 473 152Q475 153 483 153H487H491Q506 153 506 145Q506 140 503 129Q490 79 473 48T445 8T417 -8Q409 -10 393 -10Q359 -10 336 5T306 36L300 51Q299 52 296 50Q294 48 292 46Q233 -10 172 -10Q117 -10 75 30T33 157Q33 205 53 255T101 341Q148 398 195 420T280 442Q336 442 364 400Q369 394 369 396Q370 400 396 505T424 616Q424 629 417 632T378 637H357Q351 643 351 645T353 664Q358 683 366 683ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326"],101:[443,11,466,39,430,"39 168Q39 225 58 272T107 350T174 402T244 433T307 442H310Q355 442 388 420T421 355Q421 265 310 237Q261 224 176 223Q139 223 138 221Q138 219 132 186T125 128Q125 81 146 54T209 26T302 45T394 111Q403 121 406 121Q410 121 419 112T429 98T420 82T390 55T344 24T281 -1T205 -11Q126 -11 83 42T39 168ZM373 353Q367 405 305 405Q272 405 244 391T199 357T170 316T154 280T149 261Q149 260 169 260Q282 260 327 284T373 353"],102:[705,205,490,55,550,"118 -162Q120 -162 124 -164T135 -167T147 -168Q160 -168 171 -155T187 -126Q197 -99 221 27T267 267T289 382V385H242Q195 385 192 387Q188 390 188 397L195 425Q197 430 203 430T250 431Q298 431 298 432Q298 434 307 482T319 540Q356 705 465 705Q502 703 526 683T550 630Q550 594 529 578T487 561Q443 561 443 603Q443 622 454 636T478 657L487 662Q471 668 457 668Q445 668 434 658T419 630Q412 601 403 552T387 469T380 433Q380 431 435 431Q480 431 487 430T498 424Q499 420 496 407T491 391Q489 386 482 386T428 385H372L349 263Q301 15 282 -47Q255 -132 212 -173Q175 -205 139 -205Q107 -205 81 -186T55 -132Q55 -95 76 -78T118 -61Q162 -61 162 -103Q162 -122 151 -136T127 -157L118 -162"],103:[442,205,477,10,480,"311 43Q296 30 267 15T206 0Q143 0 105 45T66 160Q66 265 143 353T314 442Q361 442 401 394L404 398Q406 401 409 404T418 412T431 419T447 422Q461 422 470 413T480 394Q480 379 423 152T363 -80Q345 -134 286 -169T151 -205Q10 -205 10 -137Q10 -111 28 -91T74 -71Q89 -71 102 -80T116 -111Q116 -121 114 -130T107 -144T99 -154T92 -162L90 -164H91Q101 -167 151 -167Q189 -167 211 -155Q234 -144 254 -122T282 -75Q288 -56 298 -13Q311 35 311 43ZM384 328L380 339Q377 350 375 354T369 368T359 382T346 393T328 402T306 405Q262 405 221 352Q191 313 171 233T151 117Q151 38 213 38Q269 38 323 108L331 118L384 328"],104:[694,11,576,48,555,"137 683Q138 683 209 688T282 694Q294 694 294 685Q294 674 258 534Q220 386 220 383Q220 381 227 388Q288 442 357 442Q411 442 444 415T478 336Q478 285 440 178T402 50Q403 36 407 31T422 26Q450 26 474 56T513 138Q516 149 519 151T535 153Q555 153 555 145Q555 144 551 130Q535 71 500 33Q466 -10 419 -10H414Q367 -10 346 17T325 74Q325 90 361 192T398 345Q398 404 354 404H349Q266 404 205 306L198 293L164 158Q132 28 127 16Q114 -11 83 -11Q69 -11 59 -2T48 16Q48 30 121 320L195 616Q195 629 188 632T149 637H128Q122 643 122 645T124 664Q129 683 137 683"],105:[661,11,345,21,302,"184 600Q184 624 203 642T247 661Q265 661 277 649T290 619Q290 596 270 577T226 557Q211 557 198 567T184 600ZM21 287Q21 295 30 318T54 369T98 420T158 442Q197 442 223 419T250 357Q250 340 236 301T196 196T154 83Q149 61 149 51Q149 26 166 26Q175 26 185 29T208 43T235 78T260 137Q263 149 265 151T282 153Q302 153 302 143Q302 135 293 112T268 61T223 11T161 -11Q129 -11 102 10T74 74Q74 91 79 106T122 220Q160 321 166 341T173 380Q173 404 156 404H154Q124 404 99 371T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287"],106:[661,204,412,-12,403,"297 596Q297 627 318 644T361 661Q378 661 389 651T403 623Q403 595 384 576T340 557Q322 557 310 567T297 596ZM288 376Q288 405 262 405Q240 405 220 393T185 362T161 325T144 293L137 279Q135 278 121 278H107Q101 284 101 286T105 299Q126 348 164 391T252 441Q253 441 260 441T272 442Q296 441 316 432Q341 418 354 401T367 348V332L318 133Q267 -67 264 -75Q246 -125 194 -164T75 -204Q25 -204 7 -183T-12 -137Q-12 -110 7 -91T53 -71Q70 -71 82 -81T95 -112Q95 -148 63 -167Q69 -168 77 -168Q111 -168 139 -140T182 -74L193 -32Q204 11 219 72T251 197T278 308T289 365Q289 372 288 376"],107:[694,11,521,48,503,"121 647Q121 657 125 670T137 683Q138 683 209 688T282 694Q294 694 294 686Q294 679 244 477Q194 279 194 272Q213 282 223 291Q247 309 292 354T362 415Q402 442 438 442Q468 442 485 423T503 369Q503 344 496 327T477 302T456 291T438 288Q418 288 406 299T394 328Q394 353 410 369T442 390L458 393Q446 405 434 405H430Q398 402 367 380T294 316T228 255Q230 254 243 252T267 246T293 238T320 224T342 206T359 180T365 147Q365 130 360 106T354 66Q354 26 381 26Q429 26 459 145Q461 153 479 153H483Q499 153 499 144Q499 139 496 130Q455 -11 378 -11Q333 -11 305 15T277 90Q277 108 280 121T283 145Q283 167 269 183T234 206T200 217T182 220H180Q168 178 159 139T145 81T136 44T129 20T122 7T111 -2Q98 -11 83 -11Q66 -11 57 -1T48 16Q48 26 85 176T158 471L195 616Q196 629 188 632T149 637H144Q134 637 131 637T124 640T121 647"],108:[695,12,298,38,266,"117 59Q117 26 142 26Q179 26 205 131Q211 151 215 152Q217 153 225 153H229Q238 153 241 153T246 151T248 144Q247 138 245 128T234 90T214 43T183 6T137 -11Q101 -11 70 11T38 85Q38 97 39 102L104 360Q167 615 167 623Q167 626 166 628T162 632T157 634T149 635T141 636T132 637T122 637Q112 637 109 637T101 638T95 641T94 647Q94 649 96 661Q101 680 107 682T179 688Q194 689 213 690T243 693T254 694Q266 694 266 686Q266 675 193 386T118 83Q118 81 118 75T117 65V59"],109:[443,11,878,21,857,"21 287Q22 293 24 303T36 341T56 388T88 425T132 442T175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q303 442 384 442Q401 442 415 440T441 433T460 423T475 411T485 398T493 385T497 373T500 364T502 357L510 367Q573 442 659 442Q713 442 746 415T780 336Q780 285 742 178T704 50Q705 36 709 31T724 26Q752 26 776 56T815 138Q818 149 821 151T837 153Q857 153 857 145Q857 144 853 130Q845 101 831 73T785 17T716 -10Q669 -10 648 17T627 73Q627 92 663 193T700 345Q700 404 656 404H651Q565 404 506 303L499 291L466 157Q433 26 428 16Q415 -11 385 -11Q372 -11 364 -4T353 8T350 18Q350 29 384 161L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 181Q151 335 151 342Q154 357 154 369Q154 405 129 405Q107 405 92 377T69 316T57 280Q55 278 41 278H27Q21 284 21 287"],110:[443,11,600,21,580,"21 287Q22 293 24 303T36 341T56 388T89 425T135 442Q171 442 195 424T225 390T231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336T465 179T427 52Q427 26 444 26Q450 26 453 27Q482 32 505 65T540 145Q542 153 560 153Q580 153 580 145Q580 144 576 130Q568 101 554 73T508 17T439 -10Q392 -10 371 17T350 73Q350 92 386 193T423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 112 180T152 343Q153 348 153 366Q153 405 129 405Q91 405 66 305Q60 285 60 284Q58 278 41 278H27Q21 284 21 287"],111:[441,11,485,34,476,"201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120"],112:[443,194,503,-39,497,"23 287Q24 290 25 295T30 317T40 348T55 381T75 411T101 433T134 442Q209 442 230 378L240 387Q302 442 358 442Q423 442 460 395T497 281Q497 173 421 82T249 -10Q227 -10 210 -4Q199 1 187 11T168 28L161 36Q160 35 139 -51T118 -138Q118 -144 126 -145T163 -148H188Q194 -155 194 -157T191 -175Q188 -187 185 -190T172 -194Q170 -194 161 -194T127 -193T65 -192Q-5 -192 -24 -194H-32Q-39 -187 -39 -183Q-37 -156 -26 -148H-6Q28 -147 33 -136Q36 -130 94 103T155 350Q156 355 156 364Q156 405 131 405Q109 405 94 377T71 316T59 280Q57 278 43 278H29Q23 284 23 287ZM178 102Q200 26 252 26Q282 26 310 49T356 107Q374 141 392 215T411 325V331Q411 405 350 405Q339 405 328 402T306 393T286 380T269 365T254 350T243 336T235 326L232 322Q232 321 229 308T218 264T204 212Q178 106 178 102"],113:[442,194,446,33,460,"33 157Q33 258 109 349T280 441Q340 441 372 389Q373 390 377 395T388 406T404 418Q438 442 450 442Q454 442 457 439T460 434Q460 425 391 149Q320 -135 320 -139Q320 -147 365 -148H390Q396 -156 396 -157T393 -175Q389 -188 383 -194H370Q339 -192 262 -192Q234 -192 211 -192T174 -192T157 -193Q143 -193 143 -185Q143 -182 145 -170Q149 -154 152 -151T172 -148Q220 -148 230 -141Q238 -136 258 -53T279 32Q279 33 272 29Q224 -10 172 -10Q117 -10 75 30T33 157ZM352 326Q329 405 277 405Q242 405 210 374T160 293Q131 214 119 129Q119 126 119 118T118 106Q118 61 136 44T179 26Q233 26 290 98L298 109L352 326"],114:[443,11,451,21,430,"21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q161 442 183 430T214 408T225 388Q227 382 228 382T236 389Q284 441 347 441H350Q398 441 422 400Q430 381 430 363Q430 333 417 315T391 292T366 288Q346 288 334 299T322 328Q322 376 378 392Q356 405 342 405Q286 405 239 331Q229 315 224 298T190 165Q156 25 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287"],115:[443,10,469,53,419,"131 289Q131 321 147 354T203 415T300 442Q362 442 390 415T419 355Q419 323 402 308T364 292Q351 292 340 300T328 326Q328 342 337 354T354 372T367 378Q368 378 368 379Q368 382 361 388T336 399T297 405Q249 405 227 379T204 326Q204 301 223 291T278 274T330 259Q396 230 396 163Q396 135 385 107T352 51T289 7T195 -10Q118 -10 86 19T53 87Q53 126 74 143T118 160Q133 160 146 151T160 120Q160 94 142 76T111 58Q109 57 108 57T107 55Q108 52 115 47T146 34T201 27Q237 27 263 38T301 66T318 97T323 122Q323 150 302 164T254 181T195 196T148 231Q131 256 131 289"],116:[626,11,361,19,330,"26 385Q19 392 19 395Q19 399 22 411T27 425Q29 430 36 430T87 431H140L159 511Q162 522 166 540T173 566T179 586T187 603T197 615T211 624T229 626Q247 625 254 615T261 596Q261 589 252 549T232 470L222 433Q222 431 272 431H323Q330 424 330 420Q330 398 317 385H210L174 240Q135 80 135 68Q135 26 162 26Q197 26 230 60T283 144Q285 150 288 151T303 153H307Q322 153 322 145Q322 142 319 133Q314 117 301 95T267 48T216 6T155 -11Q125 -11 98 4T59 56Q57 64 57 83V101L92 241Q127 382 128 383Q128 385 77 385H26"],117:[442,11,572,21,551,"21 287Q21 295 30 318T55 370T99 420T158 442Q204 442 227 417T250 358Q250 340 216 246T182 105Q182 62 196 45T238 27T291 44T328 78L339 95Q341 99 377 247Q407 367 413 387T427 416Q444 431 463 431Q480 431 488 421T496 402L420 84Q419 79 419 68Q419 43 426 35T447 26Q469 29 482 57T512 145Q514 153 532 153Q551 153 551 144Q550 139 549 130T540 98T523 55T498 17T462 -8Q454 -10 438 -10Q372 -10 347 46Q345 45 336 36T318 21T296 6T267 -6T233 -11Q189 -11 155 7Q103 38 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287"],118:[443,11,485,21,467,"173 380Q173 405 154 405Q130 405 104 376T61 287Q60 286 59 284T58 281T56 279T53 278T49 278T41 278H27Q21 284 21 287Q21 294 29 316T53 368T97 419T160 441Q202 441 225 417T249 361Q249 344 246 335Q246 329 231 291T200 202T182 113Q182 86 187 69Q200 26 250 26Q287 26 319 60T369 139T398 222T409 277Q409 300 401 317T383 343T365 361T357 383Q357 405 376 424T417 443Q436 443 451 425T467 367Q467 340 455 284T418 159T347 40T241 -11Q177 -11 139 22Q102 54 102 117Q102 148 110 181T151 298Q173 362 173 380"],119:[443,11,716,21,690,"580 385Q580 406 599 424T641 443Q659 443 674 425T690 368Q690 339 671 253Q656 197 644 161T609 80T554 12T482 -11Q438 -11 404 5T355 48Q354 47 352 44Q311 -11 252 -11Q226 -11 202 -5T155 14T118 53T104 116Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 293 29 315T52 366T96 418T161 441Q204 441 227 416T250 358Q250 340 217 250T184 111Q184 65 205 46T258 26Q301 26 334 87L339 96V119Q339 122 339 128T340 136T341 143T342 152T345 165T348 182T354 206T362 238T373 281Q402 395 406 404Q419 431 449 431Q468 431 475 421T483 402Q483 389 454 274T422 142Q420 131 420 107V100Q420 85 423 71T442 42T487 26Q558 26 600 148Q609 171 620 213T632 273Q632 306 619 325T593 357T580 385"],120:[442,11,572,35,522,"52 289Q59 331 106 386T222 442Q257 442 286 424T329 379Q371 442 430 442Q467 442 494 420T522 361Q522 332 508 314T481 292T458 288Q439 288 427 299T415 328Q415 374 465 391Q454 404 425 404Q412 404 406 402Q368 386 350 336Q290 115 290 78Q290 50 306 38T341 26Q378 26 414 59T463 140Q466 150 469 151T485 153H489Q504 153 504 145Q504 144 502 134Q486 77 440 33T333 -11Q263 -11 227 52Q186 -10 133 -10H127Q78 -10 57 16T35 71Q35 103 54 123T99 143Q142 143 142 101Q142 81 130 66T107 46T94 41L91 40Q91 39 97 36T113 29T132 26Q168 26 194 71Q203 87 217 139T245 247T261 313Q266 340 266 352Q266 380 251 392T217 404Q177 404 142 372T93 290Q91 281 88 280T72 278H58Q52 284 52 289"],121:[443,205,490,21,497,"21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287"],122:[442,11,465,35,468,"347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338"],915:[680,-1,615,31,721,"49 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 661Q197 674 203 680H714Q721 676 721 669Q721 664 708 557T694 447Q692 440 674 440H662Q655 445 655 454Q655 455 658 480T661 534Q661 572 652 592Q638 619 603 626T501 634H471Q398 633 393 630Q389 628 386 622Q385 619 315 341T245 60Q245 46 333 46H345Q366 46 366 35Q366 33 363 21T358 6Q356 1 339 1Q334 1 292 1T187 2Q122 2 88 2T49 1"],920:[704,22,763,50,740,"740 435Q740 320 676 213T511 42T304 -22Q207 -22 138 35T51 201Q50 209 50 244Q50 346 98 438T227 601Q351 704 476 704Q514 704 524 703Q621 689 680 617T740 435ZM640 466Q640 523 625 565T583 628T532 658T479 668Q370 668 273 559T151 255Q150 245 150 213Q150 156 165 116T207 55T259 26T313 17Q385 17 451 63T561 184Q590 234 615 312T640 466ZM510 276Q510 278 512 288L515 298Q515 299 384 299H253L250 285Q246 271 244 268T231 265H227Q216 265 214 266T207 274Q207 278 223 345T244 416Q247 419 260 419H263Q280 419 280 408Q280 406 278 396L275 386Q275 385 406 385H537L540 399Q544 413 546 416T559 419H563Q574 419 576 418T583 410Q583 403 566 339Q549 271 544 267Q542 265 538 265H530H527Q510 265 510 276"],923:[716,0,694,35,670,"135 2Q114 2 90 2T60 1Q35 1 35 11Q35 28 42 40Q45 46 55 46Q119 46 151 94Q153 97 325 402T498 709Q505 716 526 716Q543 716 549 710Q550 709 560 548T580 224T591 57Q594 52 595 52Q603 47 638 46H663Q670 39 670 35Q669 12 657 0H644Q613 2 530 2Q497 2 469 2T424 2T405 1Q388 1 388 10Q388 15 391 24Q392 27 393 32T395 38T397 41T401 44T406 45T415 46Q473 46 487 64L472 306Q468 365 465 426T459 518L457 550Q456 550 328 322T198 88Q196 80 196 77Q196 49 243 46Q261 46 261 35Q261 34 259 22Q256 7 254 4T240 0Q237 0 211 1T135 2"],926:[678,0,742,53,777,"222 668Q222 670 229 677H654Q677 677 705 677T740 678Q764 678 770 676T777 667Q777 662 764 594Q761 579 757 559T751 528L749 519Q747 512 729 512H717Q710 519 710 525Q712 532 715 559T719 591Q718 595 711 595Q682 598 486 598Q252 598 246 592Q239 587 228 552L216 517Q214 512 197 512H185Q178 517 178 522Q178 524 198 591T222 668ZM227 262Q218 262 215 262T209 266L207 270L227 356Q247 435 250 439Q253 443 260 443H267H280Q287 438 287 433Q287 430 285 420T280 402L278 393Q278 392 431 392H585L590 415Q595 436 598 439T612 443H628Q635 438 635 433Q635 431 615 351T594 268Q592 262 575 262H572Q556 262 556 272Q556 280 560 293L565 313H258L252 292Q248 271 245 267T230 262H227ZM60 0Q53 4 53 11Q53 14 68 89T84 169Q88 176 98 176H104H116Q123 169 123 163Q122 160 117 127T112 88Q112 80 243 80H351H454Q554 80 574 81T597 88V89Q603 100 610 121T622 157T630 174Q633 176 646 176H658Q665 171 665 166Q665 164 643 89T618 7Q616 2 607 1T548 0H335H60"],928:[681,0,831,31,887,"48 1Q31 1 31 10Q31 12 34 24Q39 43 44 45Q48 46 59 46H65Q92 46 125 49Q139 52 144 61Q146 66 215 342T285 622Q285 629 281 629Q273 632 228 634H197Q191 640 191 642T193 661Q197 674 203 680H541Q621 680 709 680T812 681Q841 681 855 681T877 679T886 676T887 670Q887 663 885 656Q880 637 875 635Q871 634 860 634H854Q827 634 794 631Q780 628 775 619Q773 614 704 338T634 58Q634 51 638 51Q646 48 692 46H723Q729 38 729 37T726 19Q722 6 716 0H701Q664 2 567 2Q533 2 504 2T458 2T437 1Q420 1 420 10Q420 15 423 24Q428 43 433 45Q437 46 448 46H454Q481 46 514 49Q528 52 533 61Q536 67 572 209T642 491T678 632Q678 634 533 634H388Q387 631 316 347T245 59Q245 55 246 54T253 50T270 48T303 46H334Q340 38 340 37T337 19Q333 6 327 0H312Q275 2 178 2Q144 2 115 2T69 2T48 1"],931:[683,0,780,58,806,"65 0Q58 4 58 11Q58 16 114 67Q173 119 222 164L377 304Q378 305 340 386T261 552T218 644Q217 648 219 660Q224 678 228 681Q231 683 515 683H799Q804 678 806 674Q806 667 793 559T778 448Q774 443 759 443Q747 443 743 445T739 456Q739 458 741 477T743 516Q743 552 734 574T710 609T663 627T596 635T502 637Q480 637 469 637H339Q344 627 411 486T478 341V339Q477 337 477 336L457 318Q437 300 398 265T322 196L168 57Q167 56 188 56T258 56H359Q426 56 463 58T537 69T596 97T639 146T680 225Q686 243 689 246T702 250H705Q726 250 726 239Q726 238 683 123T639 5Q637 1 610 1Q577 0 348 0H65"],933:[706,0,583,28,700,"45 535Q34 535 31 536T28 544Q28 554 39 578T70 631T126 683T206 705Q230 705 251 698T295 671T330 612T344 514Q344 477 342 473V472Q343 472 347 480T361 509T380 547Q471 704 596 704Q615 704 625 702Q659 692 679 663T700 595Q700 565 696 552T687 537T670 535Q656 535 653 536T649 543Q649 544 649 550T650 562Q650 589 629 605T575 621Q502 621 448 547T365 361Q290 70 290 60Q290 46 379 46H404Q410 40 410 39T408 19Q404 6 398 0H381Q340 2 225 2Q184 2 149 2T94 2T69 1Q61 1 58 1T53 4T51 10Q51 11 53 23Q54 25 55 30T56 36T58 40T60 43T62 44T67 46T73 46T82 46H89Q144 46 163 49T190 62L198 93Q206 124 217 169T241 262T262 350T274 404Q281 445 281 486V494Q281 621 185 621Q147 621 116 601T74 550Q71 539 66 537T45 535"],934:[683,0,667,24,642,"356 624Q356 637 267 637H243Q237 642 237 645T239 664Q243 677 249 683H264Q342 681 429 681Q565 681 571 683H583Q589 677 589 674T587 656Q582 641 578 637H540Q516 637 504 637T479 633T463 630T454 623T448 613T443 597T438 576Q436 566 434 556T430 539L428 533Q442 533 472 526T543 502T613 451T642 373Q642 301 567 241T386 158L336 150Q332 150 331 146Q310 66 310 60Q310 46 399 46H424Q430 40 430 39T428 19Q424 6 418 0H401Q360 2 247 2Q207 2 173 2T119 2T95 1Q87 1 84 1T79 4T77 10Q77 11 79 23Q80 25 81 30T82 36T84 40T86 43T88 44T93 46T99 46T108 46H115Q170 46 189 49T216 62Q220 74 228 107L239 150L223 152Q139 164 82 205T24 311Q24 396 125 462Q207 517 335 533L346 578Q356 619 356 624ZM130 291Q130 203 241 188H249Q249 190 287 342L325 495H324Q313 495 291 491T229 466T168 414Q130 357 130 291ZM536 393Q536 440 507 463T418 496L341 187L351 189Q443 201 487 255Q536 314 536 393"],936:[683,0,612,21,692,"216 151Q48 174 48 329Q48 361 56 403T65 458Q65 482 58 494T43 507T28 510T21 520Q21 528 23 534T29 544L32 546H72H94Q110 546 119 544T139 536T154 514T159 476V465Q159 445 149 399T138 314Q142 229 197 201Q223 187 226 190L233 218Q240 246 253 300T280 407Q333 619 333 625Q333 637 244 637H220Q214 642 214 645T216 664Q220 677 226 683H241Q321 681 405 681Q543 681 549 683H560Q566 677 566 674T564 656Q559 641 555 637H517Q448 636 436 628Q429 623 423 600T373 404L320 192Q370 201 419 248Q451 281 469 317T500 400T518 457Q529 486 542 505T569 532T594 543T621 546H644H669Q692 546 692 536Q691 509 676 509Q623 509 593 399Q587 377 579 355T552 301T509 244T446 195T359 159Q324 151 314 151Q311 151 310 150T298 106T287 60Q287 46 376 46H401Q407 40 407 39T405 19Q401 6 395 0H378Q337 2 224 2Q184 2 150 2T96 2T72 1Q64 1 61 1T56 4T54 10Q54 11 56 23Q57 25 58 30T59 36T61 40T63 43T65 44T70 46T76 46T85 46H92Q147 46 166 49T193 62L204 106Q216 149 216 151"],937:[704,0,772,80,786,"125 84Q127 78 194 76H243V78Q243 122 208 215T165 350Q164 359 162 389Q162 522 272 610Q328 656 396 680T525 704Q628 704 698 661Q734 637 755 601T781 544T786 504Q786 439 747 374T635 226T537 109Q518 81 518 77Q537 76 557 76Q608 76 620 78T640 92Q646 100 656 119T673 155T683 172Q690 173 698 173Q718 173 718 162Q718 161 681 82T642 2Q639 0 550 0H461Q455 5 455 9T458 28Q472 78 510 149T584 276T648 402T677 525Q677 594 636 631T530 668Q476 668 423 641T335 568Q284 499 271 400Q270 388 270 348Q270 298 277 228T285 115Q285 82 280 49T271 6Q269 1 258 1T175 0H87Q83 3 80 7V18Q80 22 82 98Q84 156 85 163T91 172Q94 173 104 173T119 172Q124 169 124 126Q125 104 125 84"],945:[442,11,640,34,603,"34 156Q34 270 120 356T309 442Q379 442 421 402T478 304Q484 275 485 237V208Q534 282 560 374Q564 388 566 390T582 393Q603 393 603 385Q603 376 594 346T558 261T497 161L486 147L487 123Q489 67 495 47T514 26Q528 28 540 37T557 60Q559 67 562 68T577 70Q597 70 597 62Q597 56 591 43Q579 19 556 5T512 -10H505Q438 -10 414 62L411 69L400 61Q390 53 370 41T325 18T267 -2T203 -11Q124 -11 79 39T34 156ZM208 26Q257 26 306 47T379 90L403 112Q401 255 396 290Q382 405 304 405Q235 405 183 332Q156 292 139 224T121 120Q121 71 146 49T208 26"],946:[705,194,566,23,573,"29 -194Q23 -188 23 -186Q23 -183 102 134T186 465Q208 533 243 584T309 658Q365 705 429 705H431Q493 705 533 667T573 570Q573 465 469 396L482 383Q533 332 533 252Q533 139 448 65T257 -10Q227 -10 203 -2T165 17T143 40T131 59T126 65L62 -188Q60 -194 42 -194H29ZM353 431Q392 431 427 419L432 422Q436 426 439 429T449 439T461 453T472 471T484 495T493 524T501 560Q503 569 503 593Q503 611 502 616Q487 667 426 667Q384 667 347 643T286 582T247 514T224 455Q219 439 186 308T152 168Q151 163 151 147Q151 99 173 68Q204 26 260 26Q302 26 349 51T425 137Q441 171 449 214T457 279Q457 337 422 372Q380 358 347 358H337Q258 358 258 389Q258 396 261 403Q275 431 353 431"],947:[441,216,518,11,543,"31 249Q11 249 11 258Q11 275 26 304T66 365T129 418T206 441Q233 441 239 440Q287 429 318 386T371 255Q385 195 385 170Q385 166 386 166L398 193Q418 244 443 300T486 391T508 430Q510 431 524 431H537Q543 425 543 422Q543 418 522 378T463 251T391 71Q385 55 378 6T357 -100Q341 -165 330 -190T303 -216Q286 -216 286 -188Q286 -138 340 32L346 51L347 69Q348 79 348 100Q348 257 291 317Q251 355 196 355Q148 355 108 329T51 260Q49 251 47 251Q45 249 31 249"],948:[717,10,444,36,451,"195 609Q195 656 227 686T302 717Q319 716 351 709T407 697T433 690Q451 682 451 662Q451 644 438 628T403 612Q382 612 348 641T288 671T249 657T235 628Q235 584 334 463Q401 379 401 292Q401 169 340 80T205 -10H198Q127 -10 83 36T36 153Q36 286 151 382Q191 413 252 434Q252 435 245 449T230 481T214 521T201 566T195 609ZM112 130Q112 83 136 55T204 27Q233 27 256 51T291 111T309 178T316 232Q316 267 309 298T295 344T269 400L259 396Q215 381 183 342T137 256T118 179T112 130"],949:[452,23,466,27,428,"190 -22Q124 -22 76 11T27 107Q27 174 97 232L107 239L99 248Q76 273 76 304Q76 364 144 408T290 452H302Q360 452 405 421Q428 405 428 392Q428 381 417 369T391 356Q382 356 371 365T338 383T283 392Q217 392 167 368T116 308Q116 289 133 272Q142 263 145 262T157 264Q188 278 238 278H243Q308 278 308 247Q308 206 223 206Q177 206 142 219L132 212Q68 169 68 112Q68 39 201 39Q253 39 286 49T328 72T345 94T362 105Q376 103 376 88Q376 79 365 62T334 26T275 -8T190 -22"],950:[704,204,438,44,471,"296 643Q298 704 324 704Q342 704 342 687Q342 682 339 664T336 633Q336 623 337 618T338 611Q339 612 341 612Q343 614 354 616T374 618L384 619H394Q471 619 471 586Q467 548 386 546H372Q338 546 320 564L311 558Q235 506 175 398T114 190Q114 171 116 155T125 127T137 104T153 86T171 72T192 61T213 53T235 46T256 39L322 16Q389 -10 389 -80Q389 -119 364 -154T300 -202Q292 -204 274 -204Q247 -204 225 -196Q210 -192 193 -182T172 -167Q167 -159 173 -148Q180 -139 191 -139Q195 -139 221 -153T283 -168Q298 -166 310 -152T322 -117Q322 -91 302 -75T250 -51T183 -29T116 4T65 62T44 160Q44 287 121 410T293 590L302 595Q296 613 296 643"],951:[443,216,497,21,503,"21 287Q22 290 23 295T28 317T38 348T53 381T73 411T99 433T132 442Q156 442 175 435T205 417T221 395T229 376L231 369Q231 367 232 367L243 378Q304 442 382 442Q436 442 469 415T503 336V326Q503 302 439 53Q381 -182 377 -189Q364 -216 332 -216Q319 -216 310 -208T299 -186Q299 -177 358 57L420 307Q423 322 423 345Q423 404 379 404H374Q288 404 229 303L222 291L189 157Q156 26 151 16Q138 -11 108 -11Q95 -11 87 -5T76 7T74 17Q74 30 114 189T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287"],952:[705,10,469,35,462,"35 200Q35 302 74 415T180 610T319 704Q320 704 327 704T339 705Q393 701 423 656Q462 596 462 495Q462 380 417 261T302 66T168 -10H161Q125 -10 99 10T60 63T41 130T35 200ZM383 566Q383 668 330 668Q294 668 260 623T204 521T170 421T157 371Q206 370 254 370L351 371Q352 372 359 404T375 484T383 566ZM113 132Q113 26 166 26Q181 26 198 36T239 74T287 161T335 307L340 324H145Q145 321 136 286T120 208T113 132"],953:[442,10,354,48,333,"139 -10Q111 -10 92 0T64 25T52 52T48 74Q48 89 55 109T85 199T135 375L137 384Q139 394 140 397T145 409T151 422T160 431T173 439T190 442Q202 442 213 435T225 410Q225 404 214 358T181 238T137 107Q126 74 126 54Q126 43 126 39T130 31T142 27H147Q206 27 255 78Q272 98 281 114T290 138T295 149T313 153Q321 153 324 153T329 152T332 149T332 143Q332 106 276 48T145 -10H139"],954:[442,11,576,48,554,"83 -11Q70 -11 62 -4T51 8T49 17Q49 30 96 217T147 414Q160 442 193 442Q205 441 213 435T223 422T225 412Q225 401 208 337L192 270Q193 269 208 277T235 292Q252 304 306 349T396 412T467 431Q489 431 500 420T512 391Q512 366 494 347T449 327Q430 327 418 338T405 368Q405 370 407 380L397 375Q368 360 315 315L253 266L240 257H245Q262 257 300 251T366 230Q422 203 422 150Q422 140 417 114T411 67Q411 26 437 26Q484 26 513 137Q516 149 519 151T535 153Q554 153 554 144Q554 121 527 64T457 -7Q447 -10 431 -10Q386 -10 360 17T333 90Q333 108 336 122T339 146Q339 170 320 186T271 209T222 218T185 221H180L155 122Q129 22 126 16Q113 -11 83 -11"],955:[694,12,583,47,557,"166 673Q166 685 183 694H202Q292 691 316 644Q322 629 373 486T474 207T524 67Q531 47 537 34T546 15T551 6T555 2T556 -2T550 -11H482Q457 3 450 18T399 152L354 277L340 262Q327 246 293 207T236 141Q211 112 174 69Q123 9 111 -1T83 -12Q47 -12 47 20Q47 37 61 52T199 187Q229 216 266 252T321 306L338 322Q338 323 288 462T234 612Q214 657 183 657Q166 657 166 673"],956:[442,216,603,23,580,"58 -216Q44 -216 34 -208T23 -186Q23 -176 96 116T173 414Q186 442 219 442Q231 441 239 435T249 423T251 413Q251 401 220 279T187 142Q185 131 185 107V99Q185 26 252 26Q261 26 270 27T287 31T302 38T315 45T327 55T338 65T348 77T356 88T365 100L372 110L408 253Q444 395 448 404Q461 431 491 431Q504 431 512 424T523 412T525 402L449 84Q448 79 448 68Q448 43 455 35T476 26Q485 27 496 35Q517 55 537 131Q543 151 547 152Q549 153 557 153H561Q580 153 580 144Q580 138 575 117T555 63T523 13Q510 0 491 -8Q483 -10 467 -10Q446 -10 429 -4T402 11T385 29T376 44T374 51L368 45Q362 39 350 30T324 12T288 -4T246 -11Q199 -11 153 12L129 -85Q108 -167 104 -180T92 -202Q76 -216 58 -216"],957:[442,2,494,45,530,"74 431Q75 431 146 436T219 442Q231 442 231 434Q231 428 185 241L137 51H140L150 55Q161 59 177 67T214 86T261 119T312 165Q410 264 445 394Q458 442 496 442Q509 442 519 434T530 411Q530 390 516 352T469 262T388 162T267 70T106 5Q81 -2 71 -2Q66 -2 59 -1T51 1Q45 5 45 11Q45 13 88 188L132 364Q133 377 125 380T86 385H65Q59 391 59 393T61 412Q65 431 74 431"],958:[704,205,438,21,443,"268 632Q268 704 296 704Q314 704 314 687Q314 682 311 664T308 635T309 620V616H315Q342 619 360 619Q443 619 443 586Q439 548 358 546H344Q326 546 317 549T290 566Q257 550 226 505T195 405Q195 381 201 364T211 342T218 337Q266 347 298 347Q375 347 375 314Q374 297 359 288T327 277T280 275Q234 275 208 283L195 286Q149 260 119 214T88 130Q88 116 90 108Q101 79 129 63T229 20Q238 17 243 15Q337 -21 354 -33Q383 -53 383 -94Q383 -137 351 -171T273 -205Q240 -205 202 -190T158 -167Q156 -163 156 -159Q156 -151 161 -146T176 -140Q182 -140 189 -143Q232 -168 274 -168Q286 -168 292 -165Q313 -151 313 -129Q313 -112 301 -104T232 -75Q214 -68 204 -64Q198 -62 171 -52T136 -38T107 -24T78 -8T56 12T36 37T26 66T21 103Q21 149 55 206T145 301L154 307L148 313Q141 319 136 323T124 338T111 358T103 382T99 413Q99 471 143 524T259 602L271 607Q268 618 268 632"],959:[441,11,485,34,476,"201 -11Q126 -11 80 38T34 156Q34 221 64 279T146 380Q222 441 301 441Q333 441 341 440Q354 437 367 433T402 417T438 387T464 338T476 268Q476 161 390 75T201 -11ZM121 120Q121 70 147 48T206 26Q250 26 289 58T351 142Q360 163 374 216T388 308Q388 352 370 375Q346 405 306 405Q243 405 195 347Q158 303 140 230T121 120"],960:[431,11,570,19,573,"132 -11Q98 -11 98 22V33L111 61Q186 219 220 334L228 358H196Q158 358 142 355T103 336Q92 329 81 318T62 297T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 389 431Q549 431 553 430Q573 423 573 402Q573 371 541 360Q535 358 472 358H408L405 341Q393 269 393 222Q393 170 402 129T421 65T431 37Q431 20 417 5T381 -10Q370 -10 363 -7T347 17T331 77Q330 86 330 121Q330 170 339 226T357 318T367 358H269L268 354Q268 351 249 275T206 114T175 17Q164 -11 132 -11"],961:[442,216,517,23,510,"58 -216Q25 -216 23 -186Q23 -176 73 26T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 219 486 165T425 74T345 13T266 -10H255H248Q197 -10 165 35L160 41L133 -71Q108 -168 104 -181T92 -202Q76 -216 58 -216ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q217 269 193 170L176 102Q193 26 260 26Q298 26 334 62Q367 92 389 158T418 266T424 322"],962:[442,107,363,30,405,"31 207Q31 306 115 374T302 442Q341 442 373 430T405 400Q405 392 399 383T379 374Q373 375 348 390T296 405Q222 405 160 357T98 249Q98 232 103 218T112 195T132 175T154 159T186 141T219 122Q234 114 255 102T286 85T299 78L302 74Q306 71 308 69T315 61T322 51T328 40T332 25T334 8Q334 -31 305 -69T224 -107Q194 -107 163 -92Q156 -88 156 -80Q156 -73 162 -67T178 -61Q186 -61 190 -63Q209 -71 224 -71Q244 -71 253 -59T263 -30Q263 -25 263 -21T260 -12T255 -4T248 3T239 9T227 17T213 25T195 34T174 46Q170 48 150 58T122 74T97 90T70 112T51 137T36 169T31 207"],963:[431,11,571,31,572,"184 -11Q116 -11 74 34T31 147Q31 247 104 333T274 430Q275 431 414 431H552Q553 430 555 429T559 427T562 425T565 422T567 420T569 416T570 412T571 407T572 401Q572 357 507 357Q500 357 490 357T476 358H416L421 348Q439 310 439 263Q439 153 359 71T184 -11ZM361 278Q361 358 276 358Q152 358 115 184Q114 180 114 178Q106 141 106 117Q106 67 131 47T188 26Q242 26 287 73Q316 103 334 153T356 233T361 278"],964:[431,13,437,18,517,"39 284Q18 284 18 294Q18 301 45 338T99 398Q134 425 164 429Q170 431 332 431Q492 431 497 429Q517 424 517 402Q517 388 508 376T485 360Q479 358 389 358T299 356Q298 355 283 274T251 109T233 20Q228 5 215 -4T186 -13Q153 -13 153 20V30L203 192Q214 228 227 272T248 336L254 357Q254 358 208 358Q206 358 197 358T183 359Q105 359 61 295Q56 287 53 286T39 284"],965:[443,10,540,21,523,"413 384Q413 406 432 424T473 443Q492 443 507 425T523 367Q523 334 508 270T468 153Q424 63 373 27T282 -10H268Q220 -10 186 2T135 36T111 78T104 121Q104 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441Q200 441 225 419T250 355Q248 336 247 334Q247 331 232 291T201 199T185 118Q185 68 211 47T275 26Q317 26 355 57T416 132T452 216T465 277Q465 301 457 318T439 343T421 361T413 384"],966:[442,218,654,50,618,"92 210Q92 176 106 149T142 108T185 85T220 72L235 70L237 71L250 112Q268 170 283 211T322 299T370 375T429 423T502 442Q547 442 582 410T618 302Q618 224 575 152T457 35T299 -10Q273 -10 273 -12L266 -48Q260 -83 252 -125T241 -179Q236 -203 215 -212Q204 -218 190 -218Q159 -215 159 -185Q159 -175 214 -2L209 0Q204 2 195 5T173 14T147 28T120 46T94 71T71 103T56 142T50 190Q50 238 76 311T149 431H162Q183 431 183 423Q183 417 175 409Q134 361 114 300T92 210ZM574 278Q574 320 550 344T486 369Q437 369 394 329T323 218Q309 184 295 109L286 64Q304 62 306 62Q423 62 498 131T574 278"],967:[443,204,626,24,600,"576 -125Q576 -147 547 -175T487 -204H476Q394 -204 363 -157Q334 -114 293 26L284 59Q283 58 248 19T170 -66T92 -151T53 -191Q49 -194 43 -194Q36 -194 31 -189T25 -177T38 -154T151 -30L272 102L265 131Q189 405 135 405Q104 405 87 358Q86 351 68 351Q48 351 48 361Q48 369 56 386T89 423T148 442Q224 442 258 400Q276 375 297 320T330 222L341 180Q344 180 455 303T573 429Q579 431 582 431Q600 431 600 414Q600 407 587 392T477 270Q356 138 353 134L362 102Q392 -10 428 -89T490 -168Q504 -168 517 -156T536 -126Q539 -116 543 -115T557 -114T571 -115Q576 -118 576 -125"],968:[694,205,651,21,634,"161 441Q202 441 226 417T250 358Q250 338 218 252T187 127Q190 85 214 61Q235 43 257 37Q275 29 288 29H289L371 360Q455 691 456 692Q459 694 472 694Q492 694 492 687Q492 678 411 356Q329 28 329 27T335 26Q421 26 498 114T576 278Q576 302 568 319T550 343T532 361T524 384Q524 405 541 424T583 443Q602 443 618 425T634 366Q634 337 623 288T605 220Q573 125 492 57T329 -11H319L296 -104Q272 -198 272 -199Q270 -205 252 -205H239Q233 -199 233 -197Q233 -192 256 -102T279 -9Q272 -8 265 -8Q106 14 106 139Q106 174 139 264T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Q21 299 34 333T82 404T161 441"],969:[443,12,622,15,604,"495 384Q495 406 514 424T555 443Q574 443 589 425T604 364Q604 334 592 278T555 155T483 38T377 -11Q297 -11 267 66Q266 68 260 61Q201 -11 125 -11Q15 -11 15 139Q15 230 56 325T123 434Q135 441 147 436Q160 429 160 418Q160 406 140 379T94 306T62 208Q61 202 61 187Q61 124 85 100T143 76Q201 76 245 129L253 137V156Q258 297 317 297Q348 297 348 261Q348 243 338 213T318 158L308 135Q309 133 310 129T318 115T334 97T358 83T393 76Q456 76 501 148T546 274Q546 305 533 325T508 357T495 384"],977:[705,11,591,21,563,"537 500Q537 474 533 439T524 383L521 362Q558 355 561 351Q563 349 563 345Q563 321 552 318Q542 318 521 323L510 326Q496 261 459 187T362 51T241 -11Q100 -11 100 105Q100 139 127 242T154 366Q154 405 128 405Q107 405 92 377T68 316T57 280Q55 278 41 278H27Q21 284 21 287Q21 291 27 313T47 368T79 418Q103 442 134 442Q169 442 201 419T233 344Q232 330 206 228T180 98Q180 26 247 26Q292 26 332 90T404 260L427 349Q422 349 398 359T339 392T289 440Q265 476 265 520Q265 590 312 647T417 705Q463 705 491 670T528 592T537 500ZM464 564Q464 668 413 668Q373 668 339 622T304 522Q304 494 317 470T349 431T388 406T421 391T435 387H436L443 415Q450 443 457 485T464 564"],981:[694,205,596,42,579,"409 688Q413 694 421 694H429H442Q448 688 448 686Q448 679 418 563Q411 535 404 504T392 458L388 442Q388 441 397 441T429 435T477 418Q521 397 550 357T579 260T548 151T471 65T374 11T279 -10H275L251 -105Q245 -128 238 -160Q230 -192 227 -198T215 -205H209Q189 -205 189 -198Q189 -193 211 -103L234 -11Q234 -10 226 -10Q221 -10 206 -8T161 6T107 36T62 89T43 171Q43 231 76 284T157 370T254 422T342 441Q347 441 348 445L378 567Q409 686 409 688ZM122 150Q122 116 134 91T167 53T203 35T237 27H244L337 404Q333 404 326 403T297 395T255 379T211 350T170 304Q152 276 137 237Q122 191 122 150ZM500 282Q500 320 484 347T444 385T405 400T381 404H378L332 217L284 29Q284 27 285 27Q293 27 317 33T357 47Q400 66 431 100T475 170T494 234T500 282"],982:[431,10,828,19,823,"206 -10Q158 -10 136 24T114 110Q114 233 199 349L205 358H184Q144 358 121 347Q108 340 95 330T75 312T61 295T53 285Q51 284 38 284Q19 284 19 294Q19 300 38 329T93 391T164 429Q171 431 532 431Q799 431 803 430Q823 423 823 402Q823 377 801 364Q790 358 766 358Q748 358 748 357Q748 355 749 348T752 327T754 297Q754 258 738 207T693 107T618 24T520 -10Q488 -10 466 2T432 36T416 77T411 120Q411 128 410 128T404 122Q373 71 323 31T206 -10ZM714 296Q714 316 707 358H251Q250 357 244 348T230 328T212 301T193 267T176 229T164 187T159 144Q159 62 222 62Q290 62 349 127T432 285Q433 286 434 288T435 291T437 293T440 294T444 294T452 294H466Q472 288 472 286Q472 285 464 244T456 170Q456 62 534 62Q604 62 659 139T714 296"],1009:[442,194,517,67,510,"205 -174Q136 -174 102 -153T67 -76Q67 -25 91 85T127 234Q143 289 182 341Q252 427 341 441Q343 441 349 441T359 442Q432 442 471 394T510 276Q510 169 431 80T253 -10Q226 -10 204 -2T169 19T146 44T132 64L128 73Q128 72 124 53T116 5T112 -44Q112 -68 117 -78T150 -95T236 -102Q327 -102 356 -111T386 -154Q386 -166 384 -178Q381 -190 378 -192T361 -194H348Q342 -188 342 -179Q342 -169 315 -169Q294 -169 264 -171T205 -174ZM424 322Q424 359 407 382T357 405Q322 405 287 376T231 300Q221 276 204 217Q188 152 188 116Q188 68 210 47T259 26Q297 26 334 62Q367 92 389 158T418 266T424 322"],1013:[431,11,406,40,382,"227 -11Q149 -11 95 41T40 174Q40 262 87 322Q121 367 173 396T287 430Q289 431 329 431H367Q382 426 382 411Q382 385 341 385H325H312Q191 385 154 277L150 265H327Q340 256 340 246Q340 228 320 219H138V217Q128 187 128 143Q128 77 160 52T231 26Q258 26 284 36T326 57T343 68Q350 68 354 58T358 39Q358 36 357 35Q354 31 337 21T289 0T227 -11"]};o.FONTDATA.FONTS[m][8722][0]=o.FONTDATA.FONTS[m][43][0];o.FONTDATA.FONTS[m][8722][1]=o.FONTDATA.FONTS[m][43][1];o.FONTDATA.FONTS[m][8942][0]+=400;o.FONTDATA.FONTS[m][8945][0]+=700;MathJax.Hub.Insert(o.FONTDATA.FONTS[m],{8192:[0,0,500,0,0,{space:1}],8193:[0,0,1000,0,0,{space:1}],8194:[0,0,500,0,0,{space:1}],8195:[0,0,1000,0,0,{space:1}],8196:[0,0,333,0,0,{space:1}],8197:[0,0,250,0,0,{space:1}],8198:[0,0,167,0,0,{space:1}],8201:[0,0,167,0,0,{space:1}],8202:[0,0,83,0,0,{space:1}],8203:[0,0,0,0,0,{space:1}],61152:[0,0,-575,0,0,{space:1}],61153:[0,0,-300,0,0,{space:1}],61160:[0,0,25,0,0,{space:1}]});h.Register.StartupHook("SVG Jax Require",function(){h.Register.LoadHook(o.fontDir+"/Size4/Regular/Main.js",function(){o.FONTDATA.FONTS[c][57684][0]+=200;o.FONTDATA.FONTS[c][57684][1]+=200});o.FONTDATA.FONTS[m][8773][2]-=222;h.Register.LoadHook(o.fontDir+"/Main/Bold/MathOperators.js",function(){o.FONTDATA.FONTS[s][8773][2]-=106});h.Register.LoadHook(o.fontDir+"/Typewriter/Regular/BasicLatin.js",function(){o.FONTDATA.FONTS.MathJax_Typewriter[32][2]+=275});r.loadComplete(o.fontDir+"/fontdata.js")})})(MathJax.OutputJax.SVG,MathJax.ElementJax.mml,MathJax.Ajax,MathJax.Hub);
diff --git a/jax/output/SVG/jax.js b/jax/output/SVG/jax.js
index 1d0a0a2c88..ef339ece51 100644
--- a/jax/output/SVG/jax.js
+++ b/jax/output/SVG/jax.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/jax/output/SVG/jax.js
+ *  /MathJax-v2/jax/output/SVG/jax.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);var o=n.Add(this.data[0].toSVG());n.Clean();if(o.ic){n.ic=o.ic}this.SVGhandleColor(n)}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
+(function(j,e,g,a){var i;var h=MathJax.Object.isArray;var b="http://www.w3.org/2000/svg";var m="http://www.w3.org/1999/xlink";var k,c,f;var d=(document.getElementsByTagName("base").length===0)?"":String(document.location).replace(/#.*$/,"");a.Augment({HFUZZ:2,DFUZZ:2,config:{styles:{".MathJax_SVG":{display:"inline","font-style":"normal","font-weight":"normal","line-height":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-align":"left","text-transform":"none","letter-spacing":"normal","word-spacing":"normal","word-wrap":"normal","white-space":"nowrap","float":"none",direction:"ltr","max-width":"none","max-height":"none","min-width":0,"min-height":0,border:0,padding:0,margin:0},".MathJax_SVG_Display":{position:"relative",display:"block!important","text-indent":0,"max-width":"none","max-height":"none","min-width":0,"min-height":0,width:"100%"},".MathJax_SVG *":{transition:"none","-webkit-transition":"none","-moz-transition":"none","-ms-transition":"none","-o-transition":"none"},".MathJax_SVG > div":{display:"inline-block"},".mjx-svg-href":{fill:"blue",stroke:"blue"},".MathJax_SVG_Processing":{visibility:"hidden",position:"absolute",top:0,left:0,width:0,height:0,overflow:"hidden",display:"block!important"},".MathJax_SVG_Processed":{display:"none!important"},".MathJax_SVG_test":{"font-style":"normal","font-weight":"normal","font-size":"100%","font-size-adjust":"none","text-indent":0,"text-transform":"none","letter-spacing":"normal","word-spacing":"normal",overflow:"hidden",height:"1px"},".MathJax_SVG_test.mjx-test-display":{display:"table!important"},".MathJax_SVG_test.mjx-test-inline":{display:"inline!important","margin-right":"-1px"},".MathJax_SVG_test.mjx-test-default":{display:"block!important",clear:"both"},".MathJax_SVG_ex_box":{display:"inline-block!important",position:"absolute",overflow:"hidden","min-height":0,"max-height":"none",padding:0,border:0,margin:0,width:"1px",height:"60ex"},".mjx-test-inline .MathJax_SVG_left_box":{display:"inline-block",width:0,"float":"left"},".mjx-test-inline .MathJax_SVG_right_box":{display:"inline-block",width:0,"float":"right"},".mjx-test-display .MathJax_SVG_right_box":{display:"table-cell!important",width:"10000em!important","min-width":0,"max-width":"none",padding:0,border:0,margin:0},"#MathJax_SVG_Tooltip":{position:"absolute",left:0,top:0,width:"auto",height:"auto",display:"none"}}},hideProcessedMath:true,fontNames:["TeX","STIX","STIX-Web","Asana-Math","Gyre-Termes","Gyre-Pagella","Latin-Modern","Neo-Euler"],Config:function(){this.SUPER(arguments).Config.apply(this,arguments);var p=e.config.menuSettings,o=this.config,n=p.font;if(p.scale){o.scale=p.scale}if(n&&n!=="Auto"){n=n.replace(/(Local|Web|Image)$/i,"");n=n.replace(/([a-z])([A-Z])/,"$1-$2");this.fontInUse=n}else{this.fontInUse=o.font||"TeX"}if(this.fontNames.indexOf(this.fontInUse)<0){this.fontInUse="TeX"}this.fontDir+="/"+this.fontInUse;if(!this.require){this.require=[]}this.require.push(this.fontDir+"/fontdata.js");this.require.push(MathJax.OutputJax.extensionDir+"/MathEvents.js")},Startup:function(){k=MathJax.Extension.MathEvents.Event;c=MathJax.Extension.MathEvents.Touch;f=MathJax.Extension.MathEvents.Hover;this.ContextMenu=k.ContextMenu;this.Mousedown=k.AltContextMenu;this.Mouseover=f.Mouseover;this.Mouseout=f.Mouseout;this.Mousemove=f.Mousemove;this.hiddenDiv=g.Element("div",{style:{visibility:"hidden",overflow:"hidden",position:"absolute",top:0,height:"1px",width:"auto",padding:0,border:0,margin:0,textAlign:"left",textIndent:0,textTransform:"none",lineHeight:"normal",letterSpacing:"normal",wordSpacing:"normal"}});if(!document.body.firstChild){document.body.appendChild(this.hiddenDiv)}else{document.body.insertBefore(this.hiddenDiv,document.body.firstChild)}this.hiddenDiv=g.addElement(this.hiddenDiv,"div",{id:"MathJax_SVG_Hidden"});var n=g.addElement(this.hiddenDiv,"div",{style:{width:"5in"}});this.pxPerInch=n.offsetWidth/5;this.hiddenDiv.removeChild(n);this.textSVG=this.Element("svg");l.GLYPH.defs=this.addElement(this.addElement(this.hiddenDiv.parentNode,"svg"),"defs",{id:"MathJax_SVG_glyphs"});this.TestSpan=g.Element("span",{className:"MathJax_SVG_test"},[["span",{className:"MathJax_SVG_left_box"}],["span",{className:"MathJax_SVG_ex_box"}],["span",{className:"MathJax_SVG_right_box"}]]);return j.Styles(this.config.styles,["InitializeSVG",this])},InitializeSVG:function(){var n=document.body.appendChild(this.TestSpan.cloneNode(true));n.className+=" mjx-test-inline mjx-test-default";this.defaultEx=n.childNodes[1].offsetHeight/60;this.defaultWidth=Math.max(0,n.lastChild.offsetLeft-n.firstChild.offsetLeft-2);document.body.removeChild(n)},preTranslate:function(s){var r=s.jax[this.id],D,z=r.length,y,G,w,C,u,E,p,F,o,v,t=false,A,q=this.config.linebreaks.automatic,x=this.config.linebreaks.width;if(q){t=(x.match(/^\s*(\d+(\.\d*)?%\s*)?container\s*$/)!=null);if(t){x=x.replace(/\s*container\s*/,"")}else{v=this.defaultWidth}if(x===""){x="100%"}}else{v=100000}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}w=G.previousSibling;if(w&&String(w.className).match(/^MathJax(_SVG)?(_Display)?( MathJax(_SVG)?_Process(ing|ed))?$/)){w.parentNode.removeChild(w)}if(G.MathJax.preview){G.MathJax.preview.style.display="none"}p=G.MathJax.elementJax;if(!p){continue}p.SVG={display:(p.root.Get("display")==="block"),preview:(p.SVG||{}).preview};C=u=g.Element("span",{style:{"font-size":this.config.scale+"%",display:"inline-block"},className:"MathJax_SVG",id:p.inputID+"-Frame",isMathJax:true,jaxID:this.id,oncontextmenu:k.Menu,onmousedown:k.Mousedown,onmouseover:k.Mouseover,onmouseout:k.Mouseout,onmousemove:k.Mousemove,onclick:k.Click,ondblclick:k.DblClick,onkeydown:k.Keydown,tabIndex:e.getTabOrder(p)});if(e.Browser.noContextMenu){C.ontouchstart=c.start;C.ontouchend=c.end}if(p.SVG.display){u=g.Element("div",{className:"MathJax_SVG_Display"});u.appendChild(C)}u.className+=" MathJax_SVG_Processing";G.parentNode.insertBefore(u,G);E=this.TestSpan.cloneNode(true);E.className+=" mjx-test-"+(p.SVG.display?"display":"inline");G.parentNode.insertBefore(E,G)}var B=[];for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}E=G.previousSibling;u=E.previousSibling;p=G.MathJax.elementJax;if(!p){continue}F=E.childNodes[1].offsetHeight/60;A=Math.max(0,p.SVG.display?E.lastChild.offsetWidth-1:E.lastChild.offsetLeft-E.firstChild.offsetLeft-2)/this.config.scale*100;if(F===0||F==="NaN"){B.push(u);p.SVG.isHidden=true;F=this.defaultEx;A=this.defaultWidth}if(A===0&&!p.SVG.display){A=this.defaultWidth}if(t){v=A}p.SVG.ex=F;p.SVG.em=o=F/a.TeX.x_height*1000;p.SVG.cwidth=A/o*1000;p.SVG.lineWidth=(q?this.length2em(x,1,v/o*1000):a.BIGDIMEN)}for(D=0,y=B.length;D<y;D++){this.hiddenDiv.appendChild(B[D]);this.addElement(this.hiddenDiv,"br")}for(D=0;D<z;D++){G=r[D];if(!G.parentNode){continue}p=G.MathJax.elementJax;if(!p){continue}G.parentNode.removeChild(G.previousSibling);if(G.MathJax.preview){G.MathJax.preview.style.display=""}}s.SVGeqn=s.SVGlast=0;s.SVGi=-1;s.SVGchunk=this.config.EqnChunk;s.SVGdelay=false},Translate:function(o,s){if(!o.parentNode){return}if(s.SVGdelay){s.SVGdelay=false;e.RestartAfter(MathJax.Callback.Delay(this.config.EqnChunkDelay))}var n=o.MathJax.elementJax,r=n.root,u,p,t=(a.config.useFontCache&&!a.config.useGlobalCache);if(n.SVG.isHidden){p=document.getElementById(n.inputID+"-Frame");u=(n.SVG.display?p.parentElement:p)}else{u=o.previousSibling;p=(n.SVG.display?(u||{}).firstChild||u:u)}if(!u){return}this.em=i.mbase.prototype.em=n.SVG.em;this.ex=n.SVG.ex;this.linebreakWidth=n.SVG.lineWidth;this.cwidth=n.SVG.cwidth;this.mathDiv=u;p.appendChild(this.textSVG);if(t){a.resetGlyphs()}this.initSVG(r,p);r.setTeXclass();try{r.toSVG(p,u)}catch(q){if(q.restart){while(p.firstChild){p.removeChild(p.firstChild)}}if(t){l.GLYPH.n--}throw q}p.removeChild(this.textSVG);if(n.SVG.isHidden){o.parentNode.insertBefore(u,o)}u.className=u.className.split(/ /)[0];if(this.hideProcessedMath){u.className+=" MathJax_SVG_Processed";if(o.MathJax.preview){n.SVG.preview=o.MathJax.preview;delete o.MathJax.preview}s.SVGeqn+=(s.i-s.SVGi);s.SVGi=s.i;if(s.SVGeqn>=s.SVGlast+s.SVGchunk){this.postTranslate(s,true);s.SVGchunk=Math.floor(s.SVGchunk*this.config.EqnChunkFactor);s.SVGdelay=true}}},postTranslate:function(t,q){var o=t.jax[this.id];if(!this.hideProcessedMath){return}for(var r=t.SVGlast,n=t.SVGeqn;r<n;r++){var p=o[r];if(p&&p.MathJax.elementJax){p.previousSibling.className=p.previousSibling.className.split(/ /)[0];var s=p.MathJax.elementJax.SVG;if(s.preview){s.preview.innerHTML="";p.MathJax.preview=s.preview;delete s.preview}}}t.SVGlast=t.SVGeqn},resetGlyphs:function(o){if(this.config.useFontCache){var n=l.GLYPH;if(this.config.useGlobalCache){n.defs=document.getElementById("MathJax_SVG_glyphs");n.defs.innerHTML=""}else{n.defs=this.Element("defs");n.n++}n.glyphs={};if(o){n.n=0}}},hashCheck:function(n){if(n&&n.nodeName.toLowerCase()==="g"){do{n=n.parentNode}while(n&&n.firstChild.nodeName!=="svg")}return n},getJaxFromMath:function(n){if(n.parentNode.className.match(/MathJax_SVG_Display/)){n=n.parentNode}do{n=n.nextSibling}while(n&&n.nodeName.toLowerCase()!=="script");return e.getJaxFor(n)},getHoverSpan:function(n,o){o.style.position="relative";return o.firstChild},getHoverBBox:function(n,o,p){var q=k.getBBox(o.parentNode);q.h+=2;q.d-=2;return q},Zoom:function(o,x,w,n,u){x.className="MathJax_SVG";var z=x.appendChild(this.TestSpan.cloneNode(true));var t=z.childNodes[1].offsetHeight/60;this.em=i.mbase.prototype.em=t/a.TeX.x_height*1000;this.ex=t;this.linebreakWidth=o.SVG.lineWidth;this.cwidth=o.SVG.cwidth;z.parentNode.removeChild(z);x.appendChild(this.textSVG);this.mathDIV=x;this.zoomScale=parseInt(e.config.menuSettings.zscale)/100;var s=o.root.data[0].SVGdata.tw;if(s&&s<this.cwidth){this.cwidth=s}this.idPostfix="-zoom";o.root.toSVG(x,x);this.idPostfix="";this.zoomScale=1;x.removeChild(this.textSVG);var r=x.getElementsByTagName("svg")[0].style;r.marginTop=r.marginRight=r.marginLeft=0;if(r.marginBottom.charAt(0)==="-"){x.style.marginBottom=r.marginBottom.substr(1)}if(this.operaZoomRefresh){setTimeout(function(){x.firstChild.style.border="1px solid transparent"},1)}if(x.offsetWidth<x.firstChild.offsetWidth){x.style.minWidth=x.firstChild.offsetWidth+"px";w.style.minWidth=w.firstChild.offsetWidth+"px"}x.style.position=w.style.position="absolute";var v=x.offsetWidth,q=x.offsetHeight,y=w.offsetHeight,p=w.offsetWidth;x.style.position=w.style.position="";return{Y:-k.getBBox(x).h,mW:p,mH:y,zW:v,zH:q}},initSVG:function(o,n){},Remove:function(n){var o=document.getElementById(n.inputID+"-Frame");if(o){if(n.SVG.display){o=o.parentNode}o.parentNode.removeChild(o)}delete n.SVG},Em:function(n){if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"em"},Ex:function(n){n=n/this.TeX.x_height;if(Math.abs(n)<0.0006){return"0"}return n.toFixed(3).replace(/\.?0+$/,"")+"ex"},Percent:function(n){return(100*n).toFixed(1).replace(/\.?0+$/,"")+"%"},Fixed:function(o,p){if(Math.abs(o)<0.0006){return"0"}return o.toFixed(p||3).replace(/\.?0+$/,"")},length2em:function(s,o,q){if(typeof(s)!=="string"){s=s.toString()}if(s===""){return""}if(s===i.SIZE.NORMAL){return 1000}if(s===i.SIZE.BIG){return 2000}if(s===i.SIZE.SMALL){return 710}if(s==="infinity"){return a.BIGDIMEN}if(s.match(/mathspace$/)){return 1000*a.MATHSPACE[s]}var t=(this.zoomScale||1)/a.em;var p=s.match(/^\s*([-+]?(?:\.\d+|\d+(?:\.\d*)?))?(pt|em|ex|mu|px|pc|in|mm|cm|%)?/);var n=parseFloat(p[1]||"1")*1000,r=p[2];if(q==null){q=1000}if(o==null){o=1}if(r==="em"){return n}if(r==="ex"){return n*a.TeX.x_height/1000}if(r==="%"){return n/100*q/1000}if(r==="px"){return n*t}if(r==="pt"){return n/10}if(r==="pc"){return n*1.2}if(r==="in"){return n*this.pxPerInch*t}if(r==="cm"){return n*this.pxPerInch*t/2.54}if(r==="mm"){return n*this.pxPerInch*t/25.4}if(r==="mu"){return n/18*o}return n*q/1000},thickness2em:function(o,n){var p=a.TeX.rule_thickness;if(o===i.LINETHICKNESS.MEDIUM){return p}if(o===i.LINETHICKNESS.THIN){return 0.67*p}if(o===i.LINETHICKNESS.THICK){return 1.67*p}return this.length2em(o,n,p)},border2em:function(o,n){if(o===i.LINETHICKNESS.THIN){o="1px"}if(o===i.LINETHICKNESS.MEDIUM){o="3px"}if(o===i.LINETHICKNESS.THICK){o="5px"}return this.length2em(o,n)},getPadding:function(o){var q={top:0,right:0,bottom:0,left:0},n=false;for(var r in q){if(q.hasOwnProperty(r)){var p=o["padding"+r.charAt(0).toUpperCase()+r.substr(1)];if(p){q[r]=this.length2em(p);n=true}}}return(n?q:false)},getBorders:function(r){var p={top:0,right:0,bottom:0,left:0},o=false;for(var s in p){if(p.hasOwnProperty(s)){var n="border"+s.charAt(0).toUpperCase()+s.substr(1);var q=r[n+"Style"];if(q&&q!=="none"){o=true;p[s]=this.border2em(r[n+"Width"]||i.LINETHICKNESS.MEDIUM);p[s+"Style"]=r[n+"Style"];p[s+"Color"]=r[n+"Color"];if(p[s+"Color"]==="initial"){p[s+"Color"]=""}}else{delete p[s]}}}return(o?p:false)},Element:function(n,o){var p=(typeof(n)==="string"?document.createElementNS(b,n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p},addElement:function(o,n,p){return o.appendChild(this.Element(n,p))},TextNode:g.TextNode,addText:g.addText,ucMatch:g.ucMatch,HandleVariant:function(u,t,D){var x=l.G();var q,z,B,r,C,v,s,p,A,o;if(!u){u=this.FONTDATA.VARIANT[i.VARIANT.NORMAL]}if(u.forceFamily){D=l.TEXT(t,D,u.font);if(u.h!=null){D.h=u.h}if(u.d!=null){D.d=u.d}x.Add(D);D=""}C=u;for(v=0,s=D.length;v<s;v++){u=C;q=D.charCodeAt(v);B=D.charAt(v);if(q>=55296&&q<56319){v++;q=(((q-55296)<<10)+(D.charCodeAt(v)-56320))+65536;if(this.FONTDATA.RemapPlane1){var y=this.FONTDATA.RemapPlane1(q,u);q=y.n;u=y.variant}}else{o=this.FONTDATA.RANGES;for(p=0,A=o.length;p<A;p++){if(o[p].name==="alpha"&&u.noLowerCase){continue}z=u["offset"+o[p].offset];if(z&&q>=o[p].low&&q<=o[p].high){if(o[p].remap&&o[p].remap[q]){q=z+o[p].remap[q]}else{if(o[p].remapOnly){break}q=q-o[p].low+z;if(o[p].add){q+=o[p].add}}if(u["variant"+o[p].offset]){u=this.FONTDATA.VARIANT[u["variant"+o[p].offset]]}break}}}if(u.remap&&u.remap[q]){q=u.remap[q];if(u.remap.variant){u=this.FONTDATA.VARIANT[u.remap.variant]}}else{if(this.FONTDATA.REMAP[q]&&!u.noRemap){q=this.FONTDATA.REMAP[q]}}if(h(q)){u=this.FONTDATA.VARIANT[q[1]];q=q[0]}if(typeof(q)==="string"){D=q+D.substr(v+1);s=D.length;v=-1;continue}r=this.lookupChar(u,q);B=r[q];if(B){if((B[5]&&B[5].space)||(B[5]===""&&B[0]+B[1]===0)){x.w+=B[2]}else{B=[t,r.id+"-"+q.toString(16).toUpperCase()].concat(B);x.Add(l.GLYPH.apply(l,B),x.w,0)}}else{if(this.FONTDATA.DELIMITERS[q]){B=this.createDelimiter(q,0,1,r);x.Add(B,x.w,(this.FONTDATA.DELIMITERS[q].dir==="V"?B.d:0))}else{if(q<=65535){B=String.fromCharCode(q)}else{z=q-65536;B=String.fromCharCode((z>>10)+55296)+String.fromCharCode((z&1023)+56320)}var w=l.TEXT(t*100/a.config.scale,B,{"font-family":u.defaultFamily||a.config.undefinedFamily,"font-style":(u.italic?"italic":""),"font-weight":(u.bold?"bold":"")});if(u.h!=null){w.h=u.h}if(u.d!=null){w.d=u.d}B=l.G();B.Add(w);x.Add(B,x.w,0);e.signal.Post(["SVG Jax - unknown char",q,u])}}}if(a.isChar(D)&&r.skew&&r.skew[q]){x.skew=r.skew[q]*1000}if(x.element.childNodes.length===1&&!x.element.firstChild.getAttribute("x")){x.element=x.element.firstChild;x.removeable=false;x.scale=t}return x},lookupChar:function(r,u){var q,o;if(!r.FONTS){var t=this.FONTDATA.FONTS;var s=(r.fonts||this.FONTDATA.VARIANT.normal.fonts);if(!(s instanceof Array)){s=[s]}if(r.fonts!=s){r.fonts=s}r.FONTS=[];for(q=0,o=s.length;q<o;q++){if(t[s[q]]){r.FONTS.push(t[s[q]])}}}for(q=0,o=r.FONTS.length;q<o;q++){var p=r.FONTS[q];if(typeof(p)==="string"){delete r.FONTS;this.loadFont(p)}if(p[u]){return p}else{this.findBlock(p,u)}}return{id:"unknown"}},isChar:function(o){if(o.length===1){return true}if(o.length!==2){return false}var p=o.charCodeAt(0);return(p>=55296&&p<56319)},findBlock:function(o,s){if(o.Ranges){for(var r=0,n=o.Ranges.length;r<n;r++){if(s<o.Ranges[r][0]){return}if(s<=o.Ranges[r][1]){var q=o.Ranges[r][2];for(var p=o.Ranges.length-1;p>=0;p--){if(o.Ranges[p][2]==q){o.Ranges.splice(p,1)}}this.loadFont(o.directory+"/"+q+".js")}}}},loadFont:function(n){e.RestartAfter(j.Require(this.fontDir+"/"+n))},createDelimiter:function(n,p,s,q){if(!s){s=1}var u=l.G();if(!n){u.Clean();delete u.element;u.w=u.r=this.TeX.nulldelimiterspace*s;return u}if(!(p instanceof Array)){p=[p,p]}var v=p[1];p=p[0];var o={alias:n};while(o.alias){n=o.alias;o=this.FONTDATA.DELIMITERS[n];if(!o){o={HW:[0,this.FONTDATA.VARIANT[i.VARIANT.NORMAL]]}}}if(o.load){e.RestartAfter(j.Require(this.fontDir+"/fontdata-"+o.load+".js"))}for(var t=0,r=o.HW.length;t<r;t++){if(o.HW[t][0]*s>=p-10-a.config.blacker||(t==r-1&&!o.stretch)){if(o.HW[t][2]){s*=o.HW[t][2]}if(o.HW[t][3]){n=o.HW[t][3]}return this.createChar(s,[n,o.HW[t][1]],q).With({stretched:true})}}if(o.stretch){this["extendDelimiter"+o.dir](u,v,o.stretch,s,q)}return u},createChar:function(u,s,p){var t="",r={fonts:[s[1]],noRemap:true};if(p&&p===i.VARIANT.BOLD){r.fonts=[s[1]+"-bold",s[1]]}if(typeof(s[1])!=="string"){r=s[1]}if(s[0] instanceof Array){for(var q=0,n=s[0].length;q<n;q++){t+=String.fromCharCode(s[0][q])}}else{t=String.fromCharCode(s[0])}if(s[4]){u=u*s[4]}var o=this.HandleVariant(r,u,t);if(s[2]){o.x=s[2]*1000}if(s[3]){o.y=s[3]*1000}if(s[5]){o.h+=s[5]*1000}if(s[6]){o.d+=s[6]*1000}return o},extendDelimiterV:function(u,C,o,q,p){var A=this.createChar(q,(o.top||o.ext),p);var w=this.createChar(q,(o.bot||o.ext),p);var t=A.h+A.d+w.h+w.d;var z=-A.h;u.Add(A,0,z);z-=A.d;if(o.mid){var B=this.createChar(q,o.mid,p);t+=B.h+B.d}if(o.min&&C<t*o.min){C=t*o.min}if(C>t){var n=this.createChar(q,o.ext,p);var r=(o.mid?2:1),x=(C-t)/r,D=(x+100)/(n.h+n.d);while(r-->0){var v=a.Element("g",{transform:"translate("+n.y+","+(z-D*n.h+50+n.y)+") scale(1,"+D+")"});v.appendChild(n.element.cloneNode(false));u.element.appendChild(v);z-=x;if(o.mid&&r){u.Add(B,0,z-B.h);z-=(B.h+B.d)}}}else{if(o.mid){z+=(t-C)/2;u.Add(B,0,z-B.h);z+=-(B.h+B.d)+(t-C)/2}else{z+=(t-C)}}u.Add(w,0,z-w.h);u.Clean();u.scale=q;u.isMultiChar=true},extendDelimiterH:function(v,q,o,t,p){var r=this.createChar(t,(o.left||o.rep),p);var E=this.createChar(t,(o.right||o.rep),p);v.Add(r,-r.l,0);var D=(r.r-r.l)+(E.r-E.l),B=r.r-r.l;if(o.mid){var C=this.createChar(t,o.mid,p);D+=C.w}if(o.min&&q<D*o.min){q=D*o.min}if(q>D){var A=this.createChar(t,o.rep,p),n=o.fuzz||0;var u=(o.mid?2:1),z=(q-D)/u,F=(z+n)/(A.r-A.l);while(u-->0){var y=a.Element("g",{transform:"translate("+(B-n/2-F*A.l+A.x)+","+A.y+") scale("+F+",1)"});y.appendChild(A.element.cloneNode(false));v.element.appendChild(y);B+=z;if(o.mid&&u){v.Add(C,B,0);B+=C.w}}}else{if(o.mid){B-=(D-q)/2;v.Add(C,B,0);B+=C.w-(D-q)/2}else{B-=(D-q)}}v.Add(E,B-E.l,0);v.Clean();v.scale=t;v.isMultiChar=true},MATHSPACE:{veryverythinmathspace:1/18,verythinmathspace:2/18,thinmathspace:3/18,mediummathspace:4/18,thickmathspace:5/18,verythickmathspace:6/18,veryverythickmathspace:7/18,negativeveryverythinmathspace:-1/18,negativeverythinmathspace:-2/18,negativethinmathspace:-3/18,negativemediummathspace:-4/18,negativethickmathspace:-5/18,negativeverythickmathspace:-6/18,negativeveryverythickmathspace:-7/18},TeX:{x_height:430.554,quad:1000,num1:676.508,num2:393.732,num3:443.73,denom1:685.951,denom2:344.841,sup1:412.892,sup2:362.892,sup3:288.888,sub1:150,sub2:247.217,sup_drop:386.108,sub_drop:50,delim1:2390,delim2:1000,axis_height:250,rule_thickness:60,big_op_spacing1:111.111,big_op_spacing2:166.666,big_op_spacing3:200,big_op_spacing4:600,big_op_spacing5:100,scriptspace:100,nulldelimiterspace:120,delimiterfactor:901,delimitershortfall:300,min_rule_thickness:1.25,min_root_space:1.5},BIGDIMEN:10000000,NBSP:"\u00A0"});var l=a.BBOX=MathJax.Object.Subclass({type:"g",removeable:true,Init:function(n){this.h=this.d=-a.BIGDIMEN;this.H=this.D=0;this.w=this.r=0;this.l=a.BIGDIMEN;this.x=this.y=0;this.scale=1;this.n=0;if(this.type){this.element=a.Element(this.type,n)}},With:function(n){return e.Insert(this,n)},Add:function(q,w,v,n,u){if(w){q.x+=w}if(v){q.y+=v}if(q.element){if(q.removeable&&q.element.childNodes.length===1&&q.n===1){var o=q.element.firstChild,s=o.nodeName.toLowerCase();if(s==="use"||s==="rect"){q.element=o;q.scale=q.childScale;var t=q.childX,r=q.childY;q.x+=t;q.y+=r;q.h-=r;q.d+=r;q.H-=r;q.D+=r;q.w-=t;q.r-=t;q.l+=t;q.removeable=false;o.setAttribute("x",Math.floor(q.x/q.scale));o.setAttribute("y",Math.floor(q.y/q.scale))}}if(Math.abs(q.x)<1&&Math.abs(q.y)<1){q.remove=q.removeable}else{s=q.element.nodeName.toLowerCase();if(s==="g"){if(!q.element.firstChild){q.remove=q.removeable}else{q.element.setAttribute("transform","translate("+Math.floor(q.x)+","+Math.floor(q.y)+")")}}else{if(s==="line"||s==="polygon"||s==="path"||s==="a"){var p=q.element.getAttribute("transform")||"";if(p){p=" "+p}p="translate("+Math.floor(q.x)+","+Math.floor(q.y)+")"+p;q.element.setAttribute("transform",p)}else{q.element.setAttribute("x",Math.floor(q.x/q.scale));q.element.setAttribute("y",Math.floor(q.y/q.scale))}}}if(q.remove){this.n+=q.n;while(q.element.firstChild){if(u&&this.element.firstChild){this.element.insertBefore(q.element.firstChild,this.element.firstChild)}else{this.element.appendChild(q.element.firstChild)}}}else{if(u){this.element.insertBefore(q.element,this.element.firstChild)}else{this.element.appendChild(q.element)}}delete q.element}if(q.hasIndent){this.hasIndent=q.hasIndent}if(q.tw!=null){this.tw=q.tw}if(q.d-q.y>this.d){this.d=q.d-q.y;if(this.d>this.D){this.D=this.d}}if(q.y+q.h>this.h){this.h=q.y+q.h;if(this.h>this.H){this.H=this.h}}if(q.D-q.y>this.D){this.D=q.D-q.y}if(q.y+q.H>this.H){this.H=q.y+q.H}if(q.x+q.l<this.l){this.l=q.x+q.l}if(q.x+q.r>this.r){this.r=q.x+q.r}if(n||q.x+q.w+(q.X||0)>this.w){this.w=q.x+q.w+(q.X||0)}this.childScale=q.scale;this.childX=q.x;this.childY=q.y;this.n++;return q},Align:function(r,s,q,p,o){q=({left:q,center:(this.w-r.w)/2,right:this.w-r.w-q})[s]||0;var n=this.w;this.Add(r,q+(o||0),p);this.w=n},Clean:function(){if(this.h===-a.BIGDIMEN){this.h=this.d=this.l=0}return this}});l.ROW=l.Subclass({Init:function(){this.SUPER(arguments).Init.call(this);this.svg=[];this.sh=this.sd=0},Check:function(o){var n=o.toSVG();this.svg.push(n);if(o.SVGcanStretch("Vertical")){n.mml=o}if(n.h+n.y>this.sh){this.sh=n.h+n.y}if(n.d-n.y>this.sd){this.sd=n.d-n.y}},Stretch:function(){for(var q=0,n=this.svg.length;q<n;q++){var o=this.svg[q],p=o.mml;if(p){if(p.forceStretch||p.SVGdata.h!==this.sh||p.SVGdata.d!==this.sd){o=p.SVGstretchV(this.sh,this.sd)}p.SVGdata.HW=this.sh;p.SVGdata.D=this.sd}if(o.ic){this.ic=o.ic}else{delete this.ic}this.Add(o,this.w,0,true)}delete this.svg}});l.RECT=l.Subclass({type:"rect",removeable:false,Init:function(o,q,n,p){if(p==null){p={stroke:"none"}}p.width=Math.floor(n);p.height=Math.floor(o+q);this.SUPER(arguments).Init.call(this,p);this.w=this.r=n;this.h=this.H=o+q;this.d=this.D=this.l=0;this.y=-q}});l.FRAME=l.Subclass({type:"rect",removeable:false,Init:function(q,u,n,p,s,o,r){if(r==null){r={}}r.fill="none";r["stroke-width"]=a.Fixed(p,2);r.width=Math.floor(n-p);r.height=Math.floor(q+u-p);r.transform="translate("+Math.floor(p/2)+","+Math.floor(-u+p/2)+")";if(s==="dashed"){r["stroke-dasharray"]=[Math.floor(6*a.em),Math.floor(6*a.em)].join(" ")}this.SUPER(arguments).Init.call(this,r);this.w=this.r=n;this.h=this.H=q;this.d=this.D=u;this.l=0}});l.HLINE=l.Subclass({type:"line",removeable:false,Init:function(p,r,u,q,s){if(s==null){s={"stroke-linecap":"square"}}if(q&&q!==""){s.stroke=q}s["stroke-width"]=a.Fixed(r,2);s.x1=s.y1=s.y2=Math.floor(r/2);s.x2=Math.floor(p-r/2);if(u==="dashed"){var v=Math.floor(Math.max(0,p-r)/(6*r)),o=Math.floor(Math.max(0,p-r)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*r))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=p;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.VLINE=l.Subclass({type:"line",removeable:false,Init:function(r,q,u,p,s){if(s==null){s={"stroke-linecap":"square"}}if(p&&p!==""){s.stroke=p}s["stroke-width"]=a.Fixed(q,2);s.x1=s.x2=s.y1=Math.floor(q/2);s.y2=Math.floor(r-q/2);if(u==="dashed"){var v=Math.floor(Math.max(0,r-q)/(6*q)),o=Math.floor(Math.max(0,r-q)/(2*v+1));s["stroke-dasharray"]=o+" "+o}if(u==="dotted"){s["stroke-dasharray"]=[1,Math.max(150,Math.floor(2*q))].join(" ");s["stroke-linecap"]="round"}this.SUPER(arguments).Init.call(this,s);this.w=this.r=q;this.l=0;this.h=this.H=r;this.d=this.D=0}});l.TEXT=l.Subclass({type:"text",removeable:false,Init:function(q,p,n){if(!n){n={}}n.stroke="none";if(n["font-style"]===""){delete n["font-style"]}if(n["font-weight"]===""){delete n["font-weight"]}this.SUPER(arguments).Init.call(this,n);a.addText(this.element,p);a.textSVG.appendChild(this.element);var o=this.element.getBBox();a.textSVG.removeChild(this.element);q*=1000/a.em;this.element.setAttribute("transform","scale("+a.Fixed(q)+") matrix(1 0 0 -1 0 0)");this.w=this.r=o.width*q;this.l=0;this.h=this.H=-o.y*q;this.d=this.D=(o.height+o.y)*q}});l.G=l;l.NULL=l.Subclass({Init:function(){this.SUPER(arguments).Init.apply(this,arguments);this.Clean()}});l.GLYPH=l.Subclass({type:"path",removeable:false,Init:function(x,q,A,B,C,y,o,s){var u,D=a.config.blacker,z=l.GLYPH;var n=a.config.useFontCache;var v=(x===1?null:"scale("+a.Fixed(x)+")");if(n&&!a.config.useGlobalCache){q="E"+z.n+"-"+q}if(!n||!z.glyphs[q]){u={"stroke-width":D};if(n){u.id=q}else{if(v){u.transform=v}}u.d=(s?"M"+s+"Z":"");this.SUPER(arguments).Init.call(this,u);if(n){z.defs.appendChild(this.element);z.glyphs[q]=true}}if(n){u={};if(v){u.transform=v}this.element=a.Element("use",u);this.element.setAttributeNS(m,"href",d+"#"+q)}this.h=(A+D)*x;this.d=(B+D)*x;this.w=(C+D/2)*x;this.l=(y+D/2)*x;this.r=(o+D/2)*x;this.H=Math.max(0,this.h);this.D=Math.max(0,this.d);this.x=this.y=0;this.scale=x}},{glyphs:{},defs:null,n:0});e.Register.StartupHook("mml Jax Ready",function(){i=MathJax.ElementJax.mml;i.mbase.Augment({SVG:l,toSVG:function(){this.SVGgetStyles();var q=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var s=o.Add(this.data[p].toSVG(q,o.scale),o.w,0,true);if(s.skew){o.skew=s.skew}}}o.Clean();var r=this.data.join("");if(o.skew&&!a.isChar(r)){delete o.skew}if(o.r>o.w&&a.isChar(r)&&!q.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGchildSVG:function(n){return(this.data[n]?this.data[n].toSVG():l())},SVGdataStretched:function(o,n,p){this.SVGdata={HW:n,D:p};if(!this.data[o]){return l()}if(p!=null){return this.data[o].SVGstretchV(n,p)}if(n!=null){return this.data[o].SVGstretchH(n)}return this.data[o].toSVG()},SVGsaveData:function(n){if(!this.SVGdata){this.SVGdata={}}this.SVGdata.w=n.w,this.SVGdata.x=n.x;this.SVGdata.h=n.h,this.SVGdata.d=n.d;if(n.y){this.SVGdata.h+=n.y;this.SVGdata.d-=n.y}if(n.X!=null){this.SVGdata.X=n.X}if(n.tw!=null){this.SVGdata.tw=n.tw}if(n.skew){this.SVGdata.skew=n.skew}if(n.ic){this.SVGdata.ic=n.ic}if(this["class"]){n.removeable=false;a.Element(n.element,{"class":this["class"]})}if(this.id){n.removeable=false;a.Element(n.element,{id:this.id})}if(this.href){this.SVGaddHref(n)}if(a.config.addMMLclasses){this.SVGaddClass(n.element,"mjx-svg-"+this.type);n.removeable=false}var o=this.style;if(o&&n.element){n.element.style.cssText=o;if(n.element.style.fontSize){n.element.style.fontSize=""}n.element.style.border=n.element.style.padding="";if(n.removeable){n.removeable=(n.element.style.cssText==="")}}this.SVGaddAttributes(n)},SVGaddClass:function(p,n){var o=p.getAttribute("class");p.setAttribute("class",(o?o+" ":"")+n)},SVGaddAttributes:function(o){if(this.attrNames){var u=this.attrNames,q=i.nocopyAttributes,t=e.config.ignoreMMLattributes;var r=(this.type==="mstyle"?i.math.prototype.defaults:this.defaults);for(var p=0,n=u.length;p<n;p++){var s=u[p];if(t[s]==false||(!q[s]&&!t[s]&&r[s]==null&&typeof(o.element[s])==="undefined")){o.element.setAttribute(s,this.attr[s]);o.removeable=false}}}},SVGaddHref:function(o){var n=a.Element("a",{"class":"mjx-svg-href"});n.setAttributeNS(m,"href",this.href);n.onclick=this.SVGlink;a.addElement(n,"rect",{width:o.w,height:o.h+o.d,y:-o.d,fill:"none",stroke:"none","pointer-events":"all"});if(o.type==="svg"){var p=o.element.firstChild;while(p.firstChild){n.appendChild(p.firstChild)}p.appendChild(n)}else{n.appendChild(o.element);o.element=n}o.removeable=false},SVGlink:function(){var n=this.href.animVal;if(n.charAt(0)==="#"){var o=a.hashCheck(document.getElementById(n.substr(1)));if(o&&o.scrollIntoView){setTimeout(function(){o.parentNode.scrollIntoView(true)},1)}}document.location=n},SVGgetStyles:function(){if(this.style){var n=g.Element("span");n.style.cssText=this.style;this.styles=this.SVGprocessStyles(n.style)}},SVGprocessStyles:function(n){var o={border:a.getBorders(n),padding:a.getPadding(n)};if(!o.border){delete o.border}if(!o.padding){delete o.padding}if(n.fontSize){o.fontSize=n.fontSize}if(n.color){o.color=n.color}if(n.backgroundColor){o.background=n.backgroundColor}if(n.fontStyle){o.fontStyle=n.fontStyle}if(n.fontWeight){o.fontWeight=n.fontWeight}if(n.fontFamily){o.fontFamily=n.fontFamily}if(o.fontWeight&&o.fontWeight.match(/^\d+$/)){o.fontWeight=(parseInt(o.fontWeight)>600?"bold":"normal")}return o},SVGhandleSpace:function(q){if(this.hasMMLspacing()){if(this.type!=="mo"){return}var p=this.getValues("scriptlevel","lspace","rspace");if(p.scriptlevel<=0||this.hasValue("lspace")||this.hasValue("rspace")){var o=this.SVGgetMu(q);p.lspace=Math.max(0,a.length2em(p.lspace,o));p.rspace=Math.max(0,a.length2em(p.rspace,o));var n=this,r=this.Parent();while(r&&r.isEmbellished()&&r.Core()===n){n=r;r=r.Parent()}if(p.lspace){q.x+=p.lspace}if(p.rspace){q.X=p.rspace}}}else{var s=this.texSpacing();this.SVGgetScale();if(s!==""){q.x+=a.length2em(s,this.scale)*this.mscale}}},SVGhandleColor:function(r){var A=this.getValues("mathcolor","color");if(this.styles&&this.styles.color&&!A.color){A.color=this.styles.color}if(A.color&&!this.mathcolor){A.mathcolor=A.color}if(A.mathcolor){a.Element(r.element,{fill:A.mathcolor,stroke:A.mathcolor});r.removeable=false}var v=(this.styles||{}).border,y=(this.styles||{}).padding,w=((v||{}).left||0),t=((y||{}).left||0),n;A.background=(this.mathbackground||this.background||(this.styles||{}).background||i.COLOR.TRANSPARENT);if(w+t){var o=l();for(n in r){if(r.hasOwnProperty(n)){o[n]=r[n]}}o.x=0;o.y=0;r.element=a.Element("g");r.removeable=true;r.Add(o,w+t,0)}if(y){r.w+=y.right||0;r.h+=y.top||0;r.d+=y.bottom||0}if(v){r.w+=v.right||0;r.h+=v.top||0;r.d+=v.bottom||0}if(A.background!==i.COLOR.TRANSPARENT){var x=r.element.nodeName.toLowerCase();if(x!=="g"&&x!=="svg"){var s=a.Element("g");s.appendChild(r.element);r.element=s;r.removeable=true}r.Add(l.RECT(r.h,r.d,r.w,{fill:A.background,stroke:"none"}),0,0,false,true)}if(v){var z=5;var p={left:["V",r.h+r.d,-z,-r.d],right:["V",r.h+r.d,r.w-v.right+z,-r.d],top:["H",r.w,0,r.h-v.top+z],bottom:["H",r.w,0,-r.d-z]};for(n in p){if(p.hasOwnProperty(n)){if(v[n]){var u=p[n],q=l[u[0]+"LINE"];r.Add(q(u[1],v[n],v[n+"Style"],v[n+"Color"]),u[2],u[3])}}}}},SVGhandleVariant:function(n,p,o){return a.HandleVariant(n,p,o)},SVGgetVariant:function(){var n=this.getValues("mathvariant","fontfamily","fontweight","fontstyle");var o=n.mathvariant;if(this.variantForm){o="-"+a.fontInUse+"-variant"}n.hasVariant=this.Get("mathvariant",true);if(!n.hasVariant){n.family=n.fontfamily;n.weight=n.fontweight;n.style=n.fontstyle}if(this.styles){if(!n.style&&this.styles.fontStyle){n.style=this.styles.fontStyle}if(!n.weight&&this.styles.fontWeight){n.weight=this.styles.fontWeight}if(!n.family&&this.styles.fontFamily){n.family=this.styles.fontFamily}}if(n.family&&!n.hasVariant){if(!n.weight&&n.mathvariant.match(/bold/)){n.weight="bold"}if(!n.style&&n.mathvariant.match(/italic/)){n.style="italic"}o={forceFamily:true,font:{"font-family":n.family}};if(n.style){o.font["font-style"]=n.style}if(n.weight){o.font["font-weight"]=n.weight}return o}if(n.weight==="bold"){o={normal:i.VARIANT.BOLD,italic:i.VARIANT.BOLDITALIC,fraktur:i.VARIANT.BOLDFRAKTUR,script:i.VARIANT.BOLDSCRIPT,"sans-serif":i.VARIANT.BOLDSANSSERIF,"sans-serif-italic":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.weight==="normal"){o={bold:i.VARIANT.normal,"bold-italic":i.VARIANT.ITALIC,"bold-fraktur":i.VARIANT.FRAKTUR,"bold-script":i.VARIANT.SCRIPT,"bold-sans-serif":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.SANSSERIFITALIC}[o]||o}}if(n.style==="italic"){o={normal:i.VARIANT.ITALIC,bold:i.VARIANT.BOLDITALIC,"sans-serif":i.VARIANT.SANSSERIFITALIC,"bold-sans-serif":i.VARIANT.SANSSERIFBOLDITALIC}[o]||o}else{if(n.style==="normal"){o={italic:i.VARIANT.NORMAL,"bold-italic":i.VARIANT.BOLD,"sans-serif-italic":i.VARIANT.SANSSERIF,"sans-serif-bold-italic":i.VARIANT.BOLDSANSSERIF}[o]||o}}if(!(o in a.FONTDATA.VARIANT)){o="normal"}return a.FONTDATA.VARIANT[o]},SVGgetScale:function(o){var p=1;if(this.mscale){p=this.scale}else{var n=this.getValues("scriptlevel","fontsize");n.mathsize=(this.isToken?this:this.Parent()).Get("mathsize");if((this.styles||{}).fontSize&&!n.fontsize){n.fontsize=this.styles.fontSize}if(n.fontsize&&!this.mathsize){n.mathsize=n.fontsize}if(n.scriptlevel!==0){if(n.scriptlevel>2){n.scriptlevel=2}p=Math.pow(this.Get("scriptsizemultiplier"),n.scriptlevel);n.scriptminsize=a.length2em(this.Get("scriptminsize"))/1000;if(p<n.scriptminsize){p=n.scriptminsize}}this.scale=p;this.mscale=a.length2em(n.mathsize)/1000}if(o){o.scale=p;if(this.isToken){o.scale*=this.mscale}}return p*this.mscale},SVGgetMu:function(p){var n=1,o=this.getValues("scriptlevel","scriptsizemultiplier");if(p.scale&&p.scale!==1){n=1/p.scale}if(o.scriptlevel!==0){if(o.scriptlevel>2){o.scriptlevel=2}n=Math.sqrt(Math.pow(o.scriptsizemultiplier,o.scriptlevel))}return n},SVGnotEmpty:function(n){while(n){if((n.type!=="mrow"&&n.type!=="texatom")||n.data.length>1){return true}n=n.data[0]}return false},SVGcanStretch:function(p){var o=false;if(this.isEmbellished()){var n=this.Core();if(n&&n!==this){o=n.SVGcanStretch(p);if(o&&n.forceStretch){this.forceStretch=true}}}return o},SVGstretchV:function(n,o){return this.toSVG(n,o)},SVGstretchH:function(n){return this.toSVG(n)},SVGlineBreaks:function(){return false}},{SVGemptySVG:function(){var n=this.SVG();n.Clean();this.SVGsaveData(n);return n},SVGautoload:function(){this.constructor.Augment({toSVG:i.mbase.SVGautoloadFail});var n=a.autoloadDir+"/"+this.type+".js";e.RestartAfter(j.Require(n))},SVGautoloadFail:function(){throw Error("SVG can't autoload '"+this.type+"'")},SVGautoloadList:{},SVGautoloadFile:function(n){if(i.mbase.SVGautoloadList.hasOwnProperty(n)){throw Error("SVG can't autoload file '"+n+"'")}i.mbase.SVGautoloadList[n]=true;var o=a.autoloadDir+"/"+n+".js";e.RestartAfter(j.Require(o))}});i.chars.Augment({toSVG:function(o,r,n,p){var q=this.data.join("").replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.entity.Augment({toSVG:function(o,r,n,p){var q=this.toString().replace(/[\u2061-\u2064]/g,"");if(n){q=n(q,p)}return this.SVGhandleVariant(o,r,q)}});i.mo.Augment({toSVG:function(o,n){this.SVGgetStyles();var v=this.svg=this.SVG();var r=this.SVGgetScale(v);this.SVGhandleSpace(v);if(this.data.length==0){v.Clean();this.SVGsaveData(v);return v}if(n!=null){return this.SVGstretchV(o,n)}else{if(o!=null){return this.SVG.strechH(o)}}var t=this.SVGgetVariant();var B=this.getValues("largeop","displaystyle");if(B.largeop){t=a.FONTDATA.VARIANT[B.displaystyle?"-largeOp":"-smallOp"]}var A=this.CoreParent(),s=(A&&A.isa(i.msubsup)&&this!==A.data[0]),p=(s?this.remapChars:null);if(a.isChar(this.data.join(""))&&A&&A.isa(i.munderover)&&a.isChar(this.CoreText(A.data[A.base]))){var w=A.data[A.over],z=A.data[A.under];if(w&&this===w.CoreMO()&&A.Get("accent")){p=a.FONTDATA.REMAPACCENT}else{if(z&&this===z.CoreMO()&&A.Get("accentunder")){p=a.FONTDATA.REMAPACCENTUNDER}}}if(s&&this.data.join("").match(/['`"\u00B4\u2032-\u2037\u2057]/)){t=a.FONTDATA.VARIANT["-"+a.fontInUse+"-variant"]}for(var u=0,q=this.data.length;u<q;u++){if(this.data[u]){var C=this.data[u].toSVG(t,r,this.remap,p),y=v.w;if(y===0&&-C.l>10*C.w){y+=-C.l}v.Add(C,y,0,true);if(C.skew){v.skew=C.skew}}}v.Clean();if(!a.isChar(this.data.join(""))){delete v.skew}if(B.largeop){v.y=a.TeX.axis_height-(v.h-v.d)/2/r;if(v.r>v.w){v.ic=v.r-v.w;v.w=v.r}}this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGcanStretch:function(r){if(!this.Get("stretchy")){return false}var s=this.data.join("");if(s.length>1){return false}var o=this.CoreParent();if(o&&o.isa(i.munderover)&&a.isChar(this.CoreText(o.data[o.base]))){var q=o.data[o.over],n=o.data[o.under];if(q&&this===q.CoreMO()&&o.Get("accent")){s=a.FONTDATA.REMAPACCENT[s]||s}else{if(n&&this===n.CoreMO()&&o.Get("accentunder")){s=a.FONTDATA.REMAPACCENTUNDER[s]||s}}}s=a.FONTDATA.DELIMITERS[s.charCodeAt(0)];var p=(s&&s.dir==r.substr(0,1));if(!p){delete this.svg}this.forceStretch=p&&(this.Get("minsize",true)||this.Get("maxsize",true));return p},SVGstretchV:function(s,t){var p=this.svg||this.toSVG();var o=this.getValues("symmetric","maxsize","minsize");var r=a.TeX.axis_height*p.scale,n=this.SVGgetMu(p),q;if(o.symmetric){q=2*Math.max(s-r,t+r)}else{q=s+t}o.maxsize=a.length2em(o.maxsize,n,p.h+p.d);o.minsize=a.length2em(o.minsize,n,p.h+p.d);q=Math.max(o.minsize,Math.min(o.maxsize,q));if(q!=o.minsize){q=[Math.max(q*a.TeX.delimiterfactor/1000,q-a.TeX.delimitershortfall),q]}p=a.createDelimiter(this.data.join("").charCodeAt(0),q,p.scale);if(o.symmetric){q=(p.h+p.d)/2+r}else{q=(p.h+p.d)*s/(s+t)}p.y=q-p.h;this.SVGhandleSpace(p);this.SVGhandleColor(p);delete this.svg.element;this.SVGsaveData(p);p.stretched=true;return p},SVGstretchH:function(o){var q=this.svg||this.toSVG(),n=this.SVGgetMu(q);var p=this.getValues("maxsize","minsize","mathvariant","fontweight");if((p.fontweight==="bold"||parseInt(p.fontweight)>=600)&&!this.Get("mathvariant",true)){p.mathvariant=i.VARIANT.BOLD}p.maxsize=a.length2em(p.maxsize,n,q.w);p.minsize=a.length2em(p.minsize,n,q.w);o=Math.max(p.minsize,Math.min(p.maxsize,o));q=a.createDelimiter(this.data.join("").charCodeAt(0),o,q.scale,p.mathvariant);this.SVGhandleSpace(q);this.SVGhandleColor(q);delete this.svg.element;this.SVGsaveData(q);q.stretched=true;return q}});i.mn.Augment({SVGremapMinus:function(n){return n.replace(/^-/,"\u2212")},toSVG:function(){this.SVGgetStyles();var r=this.SVGgetVariant();var o=this.SVG();this.SVGgetScale(o);this.SVGhandleSpace(o);var q=this.SVGremapMinus;for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){var t=o.Add(this.data[p].toSVG(r,o.scale,q),o.w,0,true);if(t.skew){o.skew=t.skew}q=null}}o.Clean();var s=this.data.join("");if(o.skew&&!a.isChar(s)){delete o.skew}if(o.r>o.w&&a.isChar(s)&&!r.noIC){o.ic=o.r-o.w;o.w=o.r}this.SVGhandleColor(o);this.SVGsaveData(o);return o},}),i.mtext.Augment({toSVG:function(){if(a.config.mtextFontInherit||this.Parent().type==="merror"){this.SVGgetStyles();var n=this.SVG(),q=this.SVGgetScale(n);this.SVGhandleSpace(n);var o=this.SVGgetVariant(),p={direction:this.Get("dir")};if(o.bold){p["font-weight"]="bold"}if(o.italic){p["font-style"]="italic"}o=this.Get("mathvariant");if(o==="monospace"){p["class"]="MJX-monospace"}else{if(o.match(/sans-serif/)){p["class"]="MJX-sans-serif"}}n.Add(l.TEXT(q*100/a.config.scale,this.data.join(""),p));n.Clean();this.SVGhandleColor(n);this.SVGsaveData(n);return n}else{return this.SUPER(arguments).toSVG.call(this)}}});i.merror.Augment({toSVG:function(p,n){this.SVGgetStyles();var t=this.SVG(),r=a.length2em(this.styles.fontSize||1)/1000;this.SVGhandleSpace(t);var o=(r!==1?{transform:"scale("+a.Fixed(r)+")"}:{});var v=l(o);v.Add(this.SVGchildSVG(0));v.Clean();if(r!==1){v.removeable=false;var u=["w","h","d","l","r","D","H"];for(var s=0,q=u.length;s<q;s++){v[u[s]]*=r}}t.Add(v);t.Clean();this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGgetStyles:function(){var n=g.Element("span",{style:a.config.merrorStyle});this.styles=this.SVGprocessStyles(n.style);if(this.style){n.style.cssText=this.style;e.Insert(this.styles,this.SVGprocessStyles(n.style))}}});i.ms.Augment({toSVG:i.mbase.SVGautoload});i.mglyph.Augment({toSVG:i.mbase.SVGautoload});i.mspace.Augment({toSVG:function(){this.SVGgetStyles();var p=this.getValues("height","depth","width");p.mathbackground=this.mathbackground;if(this.background&&!this.mathbackground){p.mathbackground=this.background}var o=this.SVG();this.SVGgetScale(o);var q=this.mscale,n=this.SVGgetMu(o);o.h=a.length2em(p.height,n)*q;o.d=a.length2em(p.depth,n)*q;o.w=o.r=a.length2em(p.width,n)*q;if(o.w<0){o.x=o.w;o.w=o.r=0}if(o.h<-o.d){o.d=-o.h}o.l=0;o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.mphantom.Augment({toSVG:function(n,p){this.SVGgetStyles();var o=this.SVG();this.SVGgetScale(o);if(this.data[0]!=null){this.SVGhandleSpace(o);o.Add(this.SVGdataStretched(0,n,p));o.Clean();while(o.element.firstChild){o.element.removeChild(o.element.firstChild)}o.D=o.d;o.H=o.h;o.r=Math.max(0,Math.min(o.w,o.r));o.l=Math.max(0,Math.min(o.w,o.l))}this.SVGhandleColor(o);this.SVGsaveData(o);if(o.removeable&&!o.element.firstChild){delete o.element}return o}});i.mpadded.Augment({toSVG:function(q,n){this.SVGgetStyles();var t=this.SVG();if(this.data[0]!=null){this.SVGgetScale(t);this.SVGhandleSpace(t);var r=this.SVGdataStretched(0,q,n),A=this.SVGgetMu(t);var z=this.getValues("height","depth","width","lspace","voffset"),p=0,o=0;if(z.lspace){p=this.SVGlength2em(r,z.lspace,A)}if(z.voffset){o=this.SVGlength2em(r,z.voffset,A)}var s=r.h,u=r.d,x=r.w,v=r.y;t.Add(r,p,o);t.Clean();t.h=s+v;t.d=u-v;t.w=x;t.removeable=false;if(z.height!==""){t.h=this.SVGlength2em(t,z.height,A,"h",0)}if(z.depth!==""){t.d=this.SVGlength2em(t,z.depth,A,"d",0)}if(z.width!==""){t.w=this.SVGlength2em(t,z.width,A,"w",0)}if(t.h>t.H){t.H=t.h}if(t.d>t.D){t.D=t.d}}this.SVGhandleColor(t);this.SVGsaveData(t);return t},SVGlength2em:function(q,t,o,u,n){if(n==null){n=-a.BIGDIMEN}var r=String(t).match(/width|height|depth/);var s=(r?q[r[0].charAt(0)]:(u?q[u]:0));var p=a.length2em(t,o,s/this.mscale)*this.mscale;if(u&&String(t).match(/^\s*[-+]/)){return Math.max(n,q[u]+p)}else{return p}}});i.mrow.Augment({SVG:l.ROW,toSVG:function(q,s){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(s!=null){o.sh=q;o.sd=s}for(var p=0,n=this.data.length;p<n;p++){if(this.data[p]){o.Check(this.data[p])}}o.Stretch();o.Clean();if(this.data.length===1&&this.data[0]){var r=this.data[0].SVGdata;if(r.skew){o.skew=r.skew}}if(this.SVGlineBreaks(o)){o=this.SVGmultiline(o)}this.SVGhandleColor(o);this.SVGsaveData(o);return o},SVGlineBreaks:function(n){if(!this.parent.linebreakContainer){return false}return(a.config.linebreaks.automatic&&n.w>a.linebreakWidth)||this.hasNewline()},SVGmultiline:function(n){i.mbase.SVGautoloadFile("multiline")},SVGstretchH:function(o){var p=this.SVG();this.SVGhandleSpace(p);for(var q=0,n=this.data.length;q<n;q++){p.Add(this.SVGdataStretched(q,o),p.w,0)}p.Clean();this.SVGhandleColor(p);this.SVGsaveData(p);return p}});i.mstyle.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(o);var p=o.Add(this.data[0].toSVG(n,q));o.Clean();if(p.ic){o.ic=p.ic}this.SVGhandleColor(o)}this.SVGsaveData(o);return o}});i.mfrac.Augment({toSVG:function(){this.SVGgetStyles();var B=this.SVG(),K=this.SVGgetScale(B);var r=l();r.scale=B.scale;this.SVGhandleSpace(r);var w=this.SVGchildSVG(0),s=this.SVGchildSVG(1);var n=this.getValues("displaystyle","linethickness","numalign","denomalign","bevelled");var F=n.displaystyle;var J=a.TeX.axis_height*K;if(n.bevelled){var I=(F?400:150);var x=Math.max(w.h+w.d,s.h+s.d)+2*I;var G=a.createDelimiter(47,x);r.Add(w,0,(w.d-w.h)/2+J+I);r.Add(G,w.w-I/2,(G.d-G.h)/2+J);r.Add(s,w.w+G.w-I,(s.d-s.h)/2+J-I)}else{var o=Math.max(w.w,s.w);var A=a.thickness2em(n.linethickness,this.scale)*this.mscale,D,C,z,y;var E=a.TeX.min_rule_thickness/a.em*1000;if(F){z=a.TeX.num1;y=a.TeX.denom1}else{z=(A===0?a.TeX.num3:a.TeX.num2);y=a.TeX.denom2}z*=K;y*=K;if(A===0){D=Math.max((F?7:3)*a.TeX.rule_thickness,2*E);C=(z-w.d)-(s.h-y);if(C<D){z+=(D-C)/2;y+=(D-C)/2}r.w=o;A=0}else{D=Math.max((F?2:0)*E+A,A/2+1.5*E);C=(z-w.d)-(J+A/2);if(C<D){z+=D-C}C=(J-A/2)-(s.h-y);if(C<D){y+=D-C}r.Add(l.RECT(A/2,A/2,o+2*A),0,J)}r.Align(w,n.numalign,A,z);r.Align(s,n.denomalign,A,-y)}r.Clean();B.Add(r,0,0);B.Clean();this.SVGhandleColor(B);this.SVGsaveData(B);return B},SVGcanStretch:function(n){return false},SVGhandleSpace:function(n){if(!this.texWithDelims){n.x=n.X=a.TeX.nulldelimiterspace*this.mscale}this.SUPER(arguments).SVGhandleSpace.call(this,n)}});i.msqrt.Augment({toSVG:function(){this.SVGgetStyles();var v=this.SVG(),s=this.SVGgetScale(v);this.SVGhandleSpace(v);var r=this.SVGchildSVG(0),w,u;var A=a.TeX.rule_thickness*s,o,n,z,y=0;if(this.Get("displaystyle")){o=a.TeX.x_height*s}else{o=A}n=Math.max(A+o/4,1000*a.TeX.min_root_space/a.em);z=r.h+r.d+n+A;u=a.createDelimiter(8730,z,s);if(u.h+u.d>z){n=((u.h+u.d)-(z-A))/2}w=l.RECT(A,0,r.w);z=r.h+n+A;y=this.SVGaddRoot(v,u,y,u.h+u.d-z,s);v.Add(u,y,z-u.h);v.Add(w,y+u.w,z-w.h);v.Add(r,y+u.w,0);v.Clean();v.h+=A;v.H+=A;this.SVGhandleColor(v);this.SVGsaveData(v);return v},SVGaddRoot:function(o,p,n,r,q){return n}});i.mroot.Augment({toSVG:i.msqrt.prototype.toSVG,SVGaddRoot:function(q,o,t,r,n){var v=(o.isMultiChar?0.55:0.65)*o.w;if(this.data[1]){var s=this.data[1].toSVG();s.x=0;var p=this.SVGrootHeight(o.h+o.d,n,s)-r;var u=Math.min(s.w,s.r);t=Math.max(u,v);q.Add(s,t-u,p)}else{v=t}return t-v},SVGrootHeight:function(p,o,n){return 0.45*(p-900*o)+600*o+Math.max(0,n.d-75)}});i.mfenced.Augment({SVG:l.ROW,toSVG:function(){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data.open){o.Check(this.data.open)}if(this.data[0]!=null){o.Check(this.data[0])}for(var p=1,n=this.data.length;p<n;p++){if(this.data[p]){if(this.data["sep"+p]){o.Check(this.data["sep"+p])}o.Check(this.data[p])}}if(this.data.close){o.Check(this.data.close)}o.Stretch();o.Clean();this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.menclose.Augment({toSVG:i.mbase.SVGautoload});i.maction.Augment({toSVG:i.mbase.SVGautoload});i.semantics.Augment({toSVG:function(){this.SVGgetStyles();var n=this.SVG();if(this.data[0]!=null){this.SVGhandleSpace(n);n.Add(this.data[0].toSVG());n.Clean()}else{n.Clean()}this.SVGsaveData(n);return n},SVGstretchH:function(n){return(this.data[0]!=null?this.data[0].SVGstretchH(n):l.NULL())},SVGstretchV:function(n,o){return(this.data[0]!=null?this.data[0].SVGstretchV(n,o):l.NULL())}});i.munderover.Augment({toSVG:function(G,E){this.SVGgetStyles();var n=this.getValues("displaystyle","accent","accentunder","align");var p=this.data[this.base];if(!n.displaystyle&&p!=null&&(p.movablelimits||p.CoreMO().Get("movablelimits"))){return i.msubsup.prototype.toSVG.call(this)}var F=this.SVG(),O=this.SVGgetScale(F);this.SVGhandleSpace(F);var q=[],L=[],v,K,H,o=-a.BIGDIMEN,J=o,N;for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){if(K==this.base){v=q[K]=this.SVGdataStretched(K,G,E);L[K]=(E!=null||G==null)&&this.data[K].SVGcanStretch("Horizontal");if(this.data[this.over]&&n.accent){v.h=Math.max(v.h,O*a.TeX.x_height)}}else{v=q[K]=this.data[K].toSVG();v.x=0;delete v.X;L[K]=this.data[K].SVGcanStretch("Horizontal")}N=v.w+v.x+(v.X||0);if(N>J){J=N}if(!L[K]&&J>o){o=J}}}if(E==null&&G!=null){o=G}else{if(o==-a.BIGDIMEN){o=J}}for(K=J=0,H=this.data.length;K<H;K++){if(this.data[K]){v=q[K];if(L[K]){v=q[K]=this.data[K].SVGstretchH(o);if(K!==this.base){v.x=0;delete v.X}}N=v.w+v.x+(v.X||0);if(N>J){J=N}}}var C=a.TeX.rule_thickness*this.mscale;var u,r,z,w,s,B,I,M=0;p=q[this.base]||{w:0,h:0,d:0,H:0,D:0,l:0,r:0,y:0,scale:O};if(p.ic){M=1.3*p.ic+0.05}for(K=0,H=this.data.length;K<H;K++){if(this.data[K]!=null){v=q[K];s=a.TeX.big_op_spacing5*O;var A=(K!=this.base&&n[this.ACCENTS[K]]);if(A&&v.w<=1){v.x=-v.l;q[K]=l.G().With({removeable:false});q[K].Add(v);q[K].Clean();q[K].w=-v.l;v=q[K]}N=v.w+v.x+(v.X||0);B={left:0,center:(J-N)/2,right:J-N}[n.align];u=B;r=0;if(K==this.over){if(A){I=C*O;s=0;if(p.skew){u+=p.skew;F.skew=p.skew;if(u+N>J){F.skew+=(J-N-u)/2}}}else{z=a.TeX.big_op_spacing1*O;w=a.TeX.big_op_spacing3*O;I=Math.max(z,w-Math.max(0,v.d))}I=Math.max(I,1500/a.em);u+=M/2;r=p.y+p.h+v.d+I;v.h+=s;if(v.h>v.H){v.H=v.h}}else{if(K==this.under){if(A){I=3*C*O;s=0}else{z=a.TeX.big_op_spacing2*O;w=a.TeX.big_op_spacing4*O;I=Math.max(z,w-v.h)}I=Math.max(I,1500/a.em);u-=M/2;r=p.y-(p.d+v.h+I);v.d+=s;if(v.d>v.D){v.D=v.d}}}F.Add(v,u,r)}}F.Clean();this.SVGhandleColor(F);this.SVGsaveData(F);return F}});i.msubsup.Augment({toSVG:function(M,G){this.SVGgetStyles();var I=this.SVG(),Q=this.SVGgetScale(I);this.SVGhandleSpace(I);var K=this.SVGgetMu(I);var y=I.Add(this.SVGdataStretched(this.base,M,G));var w=(this.data[this.sup]||this.data[this.sub]||this).SVGgetScale();var O=a.TeX.x_height*Q,F=a.TeX.scriptspace*Q;var n,z;if(this.SVGnotEmpty(this.data[this.sup])){n=this.data[this.sup].toSVG();n.w+=F;n.r=Math.max(n.w,n.r)}if(this.SVGnotEmpty(this.data[this.sub])){z=this.data[this.sub].toSVG();z.w+=F;z.r=Math.max(z.w,z.r)}var J=a.TeX.sup_drop*w,H=a.TeX.sub_drop*w;var C=y.h+(y.y||0)-J,B=y.d-(y.y||0)+H,P=0,L;if(y.ic){y.w-=y.ic;P=1.3*y.ic+0.05}if(this.data[this.base]&&(this.data[this.base].type==="mi"||this.data[this.base].type==="mo")){if(a.isChar(this.data[this.base].data.join(""))&&y.scale===1&&!y.stretched&&!this.data[this.base].Get("largeop")){C=B=0}}var N=this.getValues("subscriptshift","superscriptshift");N.subscriptshift=(N.subscriptshift===""?0:a.length2em(N.subscriptshift,K));N.superscriptshift=(N.superscriptshift===""?0:a.length2em(N.superscriptshift,K));var A=y.w+y.x;if(!n){if(z){B=Math.max(B,a.TeX.sub1*Q,z.h-(4/5)*O,N.subscriptshift);I.Add(z,A,-B);this.data[this.sub].SVGdata.dy=-B}}else{if(!z){var o=this.getValues("displaystyle","texprimestyle");L=a.TeX[(o.displaystyle?"sup1":(o.texprimestyle?"sup3":"sup2"))];C=Math.max(C,L*Q,n.d+(1/4)*O,N.superscriptshift);I.Add(n,A+P,C);this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=C}else{B=Math.max(B,a.TeX.sub2*Q);var E=a.TeX.rule_thickness*Q;if((C-n.d)-(z.h-B)<3*E){B=3*E-C+n.d+z.h;J=(4/5)*O-(C-n.d);if(J>0){C+=J;B-=J}}I.Add(n,A+P,Math.max(C,N.superscriptshift));I.Add(z,A,-Math.max(B,N.subscriptshift));this.data[this.sup].SVGdata.dx=P;this.data[this.sup].SVGdata.dy=Math.max(C,N.superscriptshift);this.data[this.sub].SVGdata.dy=-Math.max(B,N.subscriptshift)}}I.Clean();this.SVGhandleColor(I);this.SVGsaveData(I);return I}});i.mmultiscripts.Augment({toSVG:i.mbase.SVGautoload});i.mtable.Augment({toSVG:i.mbase.SVGautoload});i["annotation-xml"].Augment({toSVG:i.mbase.SVGautoload});i.math.Augment({SVG:l.Subclass({type:"svg",removeable:false}),toSVG:function(B,p){var F=a.config;if(this.data[0]){this.SVGgetStyles();i.mbase.prototype.displayAlign=e.config.displayAlign;i.mbase.prototype.displayIndent=e.config.displayIndent;if(String(e.config.displayIndent).match(/^0($|[a-z%])/i)){i.mbase.prototype.displayIndent="0"}var v=l.G();v.Add(this.data[0].toSVG(),0,0,true);v.Clean();this.SVGhandleColor(v);a.Element(v.element,{stroke:"currentColor",fill:"currentColor","stroke-width":0,transform:"matrix(1 0 0 -1 0 0)"});v.removeable=false;var x=this.SVG();x.element.setAttribute("xmlns:xlink",m);if(F.useFontCache&&!F.useGlobalCache){x.element.appendChild(l.GLYPH.defs)}x.Add(v);x.Clean();this.SVGsaveData(x);if(!B){x.element=x.element.firstChild;x.element.removeAttribute("transform");x.removable=true;return x}var u=Math.max(-x.l,0),o=Math.max(x.r-x.w,0);var q=x.element.style,A=a.TeX.x_height/a.ex;var E=(Math.ceil(x.H/A)+1)*A+a.HFUZZ,n=(Math.ceil(x.D/A)+1)*A+a.DFUZZ;var z=u+x.w+o;x.element.setAttribute("width",a.Ex(z));x.element.setAttribute("height",a.Ex(E+n));q.verticalAlign=a.Ex(-n);if(u){q.marginLeft=a.Ex(-u)}if(o){q.marginRight=a.Ex(-o)}x.element.setAttribute("viewBox",a.Fixed(-u,1)+" "+a.Fixed(-E,1)+" "+a.Fixed(z,1)+" "+a.Fixed(E+n,1));if(x.H>x.h){q.marginTop=a.Ex(x.h-E)}if(x.D>x.d){q.marginBottom=a.Ex(x.d-n);q.verticalAlign=a.Ex(-x.d)}if(Math.abs(z-a.cwidth)<10){q.maxWidth=a.Fixed(a.cwidth*a.em/1000*a.config.scale)+"px"}var y=this.Get("alttext");if(y&&!x.element.getAttribute("aria-label")){x.element.setAttribute("aria-label",y)}if(!x.element.getAttribute("role")){x.element.setAttribute("role","img")}x.element.setAttribute("focusable","false");B.appendChild(x.element);x.element=null;if(!this.isMultiline&&this.Get("display")==="block"&&!x.hasIndent){var C=this.getValues("indentalignfirst","indentshiftfirst","indentalign","indentshift");if(C.indentalignfirst!==i.INDENTALIGN.INDENTALIGN){C.indentalign=C.indentalignfirst}if(C.indentalign===i.INDENTALIGN.AUTO){C.indentalign=this.displayAlign}if(C.indentshiftfirst!==i.INDENTSHIFT.INDENTSHIFT){C.indentshift=C.indentshiftfirst}if(C.indentshift==="auto"){C.indentshift="0"}var s=a.length2em(C.indentshift,1,a.cwidth);if(this.displayIndent!=="0"){var t=a.length2em(this.displayIndent,1,a.cwidth);s+=(C.indentalign===i.INDENTALIGN.RIGHT?-t:t)}p.style.textAlign=C.indentalign;if(s){e.Insert(q,({left:{marginLeft:a.Ex(s)},right:{marginRight:a.Ex(-s),marginLeft:a.Ex(Math.max(0,s-z))},center:{marginLeft:a.Ex(s),marginRight:a.Ex(-s)}})[C.indentalign])}}}return B}});i.TeXAtom.Augment({toSVG:function(n,q){this.SVGgetStyles();var o=this.SVG();this.SVGhandleSpace(o);if(this.data[0]!=null){var p=this.SVGdataStretched(0,n,q),r=0;if(this.texClass===i.TEXCLASS.VCENTER){r=a.TeX.axis_height-(p.h+p.d)/2+p.d}o.Add(p,0,r);o.ic=p.ic;o.skew=p.skew}this.SVGhandleColor(o);this.SVGsaveData(o);return o}});i.maligngroup.Augment({toSVG:i.mbase.SVGemptySVG});i.malignmark.Augment({toSVG:i.mbase.SVGemptySVG});i.mprescripts.Augment({toSVG:i.mbase.SVGemptySVG});i.none.Augment({toSVG:i.mbase.SVGemptySVG});e.Register.StartupHook("onLoad",function(){setTimeout(MathJax.Callback(["loadComplete",a,"jax.js"]),0)})});e.Browser.Select({Opera:function(n){a.Augment({operaZoomRefresh:true})}});e.Register.StartupHook("End Cookie",function(){if(e.config.menuSettings.zoom!=="None"){j.Require("[MathJax]/extensions/MathZoom.js")}});if(!document.createElementNS){if(!document.namespaces.svg){document.namespaces.add("svg",b)}a.Augment({Element:function(n,o){var p=(typeof(n)==="string"?document.createElement("svg:"+n):n);p.isMathJax=true;if(o){for(var q in o){if(o.hasOwnProperty(q)){p.setAttribute(q,o[q].toString())}}}return p}})}})(MathJax.Ajax,MathJax.Hub,MathJax.HTML,MathJax.OutputJax.SVG);
diff --git a/latest.js b/latest.js
index 990e36ac1d..f3c8161453 100644
--- a/latest.js
+++ b/latest.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/latest.js
+ *  /MathJax-v2/latest.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
diff --git a/localization/ar/FontWarnings.js b/localization/ar/FontWarnings.js
index a64dbd1138..7638f33cca 100644
--- a/localization/ar/FontWarnings.js
+++ b/localization/ar/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ar/FontWarnings.js
+ *  /MathJax-v2/localization/ar/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ar","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"\u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u064A\u0633\u062A\u062E\u062F\u0645 \u0627\u0644\u062E\u0637\u0648\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A \u0644\u0639\u0631\u0636 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062D\u0629\u060C \u0647\u0630\u0647 \u062A\u0633\u062A\u063A\u0631\u0642 \u0648\u0642\u062A\u0627 \u0637\u0648\u064A\u0644\u0627 \u0644\u062A\u062D\u0645\u064A\u0644\u060C \u0648\u0628\u0627\u0644\u062A\u0627\u0644\u064A \u0641\u0625\u0646 \u0627\u0644\u0635\u0641\u062D\u0629 \u062A\u0638\u0647\u0631 \u0628\u0634\u0643\u0644 \u0623\u0633\u0631\u0639 \u0625\u0630\u0627 \u0642\u0645\u062A \u0628\u062A\u062B\u0628\u064A\u062A \u062E\u0637\u0648\u0637 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0645\u0628\u0627\u0634\u0631\u0629 \u0641\u064A \u0645\u062C\u0644\u062F \u0627\u0644\u062E\u0637 \u0641\u064A \u0646\u0638\u0627\u0645\u0643.",webFonts:"\u062A\u0633\u0645\u062D \u0645\u0639\u0638\u0645 \u0627\u0644\u0645\u062A\u0635\u0641\u062D\u0627\u062A \u0627\u0644\u062D\u062F\u064A\u062B\u0629 \u0644\u0644\u062E\u0637\u0648\u0637 \u0628\u0623\u0646 \u064A\u062A\u0645 \u062A\u062D\u0645\u064A\u0644\u0647\u0627 \u0639\u0628\u0631 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A. \u064A\u0645\u0643\u0646 \u0644\u0644\u062A\u062D\u062F\u064A\u062B \u0625\u0644\u0649 \u0646\u0633\u062E\u0629 \u0623\u062D\u062F\u062B \u0645\u0646 \u0645\u062A\u0635\u0641\u062D\u0643 (\u0623\u0648 \u062A\u063A\u064A\u064A\u0631 \u0627\u0644\u0645\u062A\u0635\u0641\u062D\u0627\u062A) \u062A\u062D\u0633\u064A\u0646 \u0646\u0648\u0639\u064A\u0629 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062D\u0629.",fonts:"\u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u064A\u0645\u0643\u0646\u0647 \u0627\u0633\u062A\u062E\u062F\u0627\u0645 \u0625\u0645\u0627 [\u062E\u0637\u0648\u0637 STIX] (%1) \u0623\u0648 [\u062E\u0637\u0648\u0637 MathJax TeX ] (%2). \u062D\u0645\u0650\u0651\u0644 \u0648\u062B\u0628\u0650\u0651\u062A \u0623\u062D\u062F \u062A\u0644\u0643 \u0627\u0644\u062E\u0637\u0648\u0637 \u0644\u062A\u062D\u0633\u064A\u0646 \u062A\u062C\u0631\u0628\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0627\u0644\u062E\u0627\u0635 \u0628\u0643.",STIXPage:"\u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062D\u0629 \u0645\u062E\u0635\u0635\u0629 \u0644\u0627\u0633\u062A\u062E\u062F\u0627\u0645 [\u062E\u0637\u0648\u0637 STIX] (%1). \u062D\u0645\u0650\u0651\u0644 \u0648\u062B\u0628\u0650\u0651\u062A \u062A\u0644\u0643 \u0627\u0644\u062E\u0637\u0648\u0637 \u0644\u062A\u062D\u0633\u064A\u0646 \u062A\u062C\u0631\u0628\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0627\u0644\u062E\u0627\u0635 \u0628\u0643.",TeXPage:"\u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062D\u0629 \u0645\u062E\u0635\u0635\u0629 \u0644\u0627\u0633\u062A\u062E\u062F\u0627\u0645 [\u062E\u0637\u0648\u0637 [MathJax TeX] (%1). \u062D\u0645\u0650\u0651\u0644 \u0648\u062B\u0628\u0650\u0651\u062A \u062A\u0644\u0643 \u0627\u0644\u062E\u0637\u0648\u0637 \u0644\u062A\u062D\u0633\u064A\u0646 \u062A\u062C\u0631\u0628\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0627\u0644\u062E\u0627\u0635 \u0628\u0643."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/FontWarnings.js");
+MathJax.Localization.addTranslation("ar","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"\u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u064A\u0633\u062A\u062E\u062F\u0645 \u0627\u0644\u062E\u0637\u0648\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A \u0644\u0639\u0631\u0636 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062D\u0629\u060C \u0647\u0630\u0647 \u062A\u0633\u062A\u063A\u0631\u0642 \u0648\u0642\u062A\u0627 \u0637\u0648\u064A\u0644\u0627 \u0644\u062A\u062D\u0645\u064A\u0644\u060C \u0648\u0628\u0627\u0644\u062A\u0627\u0644\u064A \u0641\u0625\u0646 \u0627\u0644\u0635\u0641\u062D\u0629 \u062A\u0638\u0647\u0631 \u0628\u0634\u0643\u0644 \u0623\u0633\u0631\u0639 \u0625\u0630\u0627 \u0642\u0645\u062A \u0628\u062A\u062B\u0628\u064A\u062A \u062E\u0637\u0648\u0637 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0645\u0628\u0627\u0634\u0631\u0629 \u0641\u064A \u0645\u062C\u0644\u062F \u0627\u0644\u062E\u0637 \u0641\u064A \u0646\u0638\u0627\u0645\u0643.",webFonts:"\u062A\u0633\u0645\u062D \u0645\u0639\u0638\u0645 \u0627\u0644\u0645\u062A\u0635\u0641\u062D\u0627\u062A \u0627\u0644\u062D\u062F\u064A\u062B\u0629 \u0644\u0644\u062E\u0637\u0648\u0637 \u0628\u0623\u0646 \u064A\u062A\u0645 \u062A\u062D\u0645\u064A\u0644\u0647\u0627 \u0639\u0628\u0631 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A. \u064A\u0645\u0643\u0646 \u0644\u0644\u062A\u062D\u062F\u064A\u062B \u0625\u0644\u0649 \u0646\u0633\u062E\u0629 \u0623\u062D\u062F\u062B \u0645\u0646 \u0645\u062A\u0635\u0641\u062D\u0643 (\u0623\u0648 \u062A\u063A\u064A\u064A\u0631 \u0627\u0644\u0645\u062A\u0635\u0641\u062D\u0627\u062A) \u062A\u062D\u0633\u064A\u0646 \u0646\u0648\u0639\u064A\u0629 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062D\u0629.",fonts:"\u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u064A\u0645\u0643\u0646\u0647 \u0627\u0633\u062A\u062E\u062F\u0627\u0645 \u0625\u0645\u0627 [\u062E\u0637\u0648\u0637 STIX] (%1) \u0623\u0648 [\u062E\u0637\u0648\u0637 MathJax TeX ] (%2). \u062D\u0645\u0650\u0651\u0644 \u0648\u062B\u0628\u0650\u0651\u062A \u0623\u062D\u062F \u062A\u0644\u0643 \u0627\u0644\u062E\u0637\u0648\u0637 \u0644\u062A\u062D\u0633\u064A\u0646 \u062A\u062C\u0631\u0628\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0627\u0644\u062E\u0627\u0635 \u0628\u0643.",STIXPage:"\u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062D\u0629 \u0645\u062E\u0635\u0635\u0629 \u0644\u0627\u0633\u062A\u062E\u062F\u0627\u0645 [\u062E\u0637\u0648\u0637 STIX] (%1). \u062D\u0645\u0650\u0651\u0644 \u0648\u062B\u0628\u0650\u0651\u062A \u062A\u0644\u0643 \u0627\u0644\u062E\u0637\u0648\u0637 \u0644\u062A\u062D\u0633\u064A\u0646 \u062A\u062C\u0631\u0628\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0627\u0644\u062E\u0627\u0635 \u0628\u0643.",TeXPage:"\u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062D\u0629 \u0645\u062E\u0635\u0635\u0629 \u0644\u0627\u0633\u062A\u062E\u062F\u0627\u0645 [\u062E\u0637\u0648\u0637 [MathJax TeX] (%1). \u062D\u0645\u0650\u0651\u0644 \u0648\u062B\u0628\u0650\u0651\u062A \u062A\u0644\u0643 \u0627\u0644\u062E\u0637\u0648\u0637 \u0644\u062A\u062D\u0633\u064A\u0646 \u062A\u062C\u0631\u0628\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0627\u0644\u062E\u0627\u0635 \u0628\u0643."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/FontWarnings.js");
diff --git a/localization/ar/HTML-CSS.js b/localization/ar/HTML-CSS.js
index 47c775b8d0..6325118263 100644
--- a/localization/ar/HTML-CSS.js
+++ b/localization/ar/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ar/HTML-CSS.js
+ *  /MathJax-v2/localization/ar/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ar","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u062A\u062D\u0645\u064A\u0644 \u062E\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A %1",CantLoadWebFont:"\u0644\u0627 \u064A\u0645\u0643\u0646 \u062A\u062D\u0645\u064A\u0644 \u062E\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A %1",FirefoxCantLoadWebFont:"\u0641\u0627\u064A\u0631\u0641\u0648\u0643\u0633 \u0644\u0627 \u064A\u0645\u0643\u0646\u0647 \u062A\u062D\u0645\u064A\u0644 \u0627\u0644\u062E\u0637\u0648\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A \u0645\u0646 \u0645\u0636\u064A\u0641 \u0628\u0639\u064A\u062F",CantFindFontUsing:"\u0644\u0627 \u064A\u0645\u0643\u0646 \u0627\u0644\u0639\u062B\u0648\u0631 \u0639\u0644\u0649 \u062E\u0637 \u0635\u0627\u0644\u062D \u0628\u0627\u0633\u062A\u062E\u062F\u0627\u0645 %1",WebFontsNotAvailable:"\u062E\u0637\u0648\u0637 \u0627\u0644\u0648\u064A\u0628 \u063A\u064A\u0631 \u0645\u062A\u0648\u0641\u0631\u0629. \u0627\u0633\u062A\u062E\u062F\u0627\u0645 \u062E\u0637\u0648\u0637 \u0627\u0644\u0635\u0648\u0631\u0629 \u0628\u062F\u0644\u0627 \u0645\u0646 \u0630\u0644\u0643"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/HTML-CSS.js");
+MathJax.Localization.addTranslation("ar","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u062A\u062D\u0645\u064A\u0644 \u062E\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A %1",CantLoadWebFont:"\u0644\u0627 \u064A\u0645\u0643\u0646 \u062A\u062D\u0645\u064A\u0644 \u062E\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A %1",FirefoxCantLoadWebFont:"\u0641\u0627\u064A\u0631\u0641\u0648\u0643\u0633 \u0644\u0627 \u064A\u0645\u0643\u0646\u0647 \u062A\u062D\u0645\u064A\u0644 \u0627\u0644\u062E\u0637\u0648\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A \u0645\u0646 \u0645\u0636\u064A\u0641 \u0628\u0639\u064A\u062F",CantFindFontUsing:"\u0644\u0627 \u064A\u0645\u0643\u0646 \u0627\u0644\u0639\u062B\u0648\u0631 \u0639\u0644\u0649 \u062E\u0637 \u0635\u0627\u0644\u062D \u0628\u0627\u0633\u062A\u062E\u062F\u0627\u0645 %1",WebFontsNotAvailable:"\u062E\u0637\u0648\u0637 \u0627\u0644\u0648\u064A\u0628 \u063A\u064A\u0631 \u0645\u062A\u0648\u0641\u0631\u0629. \u0627\u0633\u062A\u062E\u062F\u0627\u0645 \u062E\u0637\u0648\u0637 \u0627\u0644\u0635\u0648\u0631\u0629 \u0628\u062F\u0644\u0627 \u0645\u0646 \u0630\u0644\u0643"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/HTML-CSS.js");
diff --git a/localization/ar/HelpDialog.js b/localization/ar/HelpDialog.js
index ce7b3f3521..28941a9903 100644
--- a/localization/ar/HelpDialog.js
+++ b/localization/ar/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ar/HelpDialog.js
+ *  /MathJax-v2/localization/ar/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ar","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"\u0645\u0633\u0627\u0639\u062F\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633",Browsers:"*\u0645\u062A\u0635\u0641\u062D\u0627\u062A*: \u064A\u0639\u0645\u0644 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0645\u0639 \u062C\u0645\u064A\u0639 \u0627\u0644\u0645\u062A\u0635\u0641\u062D\u0627\u062A \u0627\u0644\u062D\u062F\u064A\u062B\u0629 \u0628\u0645\u0627 \u0641\u064A \u0630\u0644\u0643 IE6+\u060C \u0648\u0641\u0627\u064A\u0631\u0641\u0648\u0643\u0633 3+\u060C \u0648\u0643\u0631\u0648\u0645 0.2+\u060C \u0648\u0633\u0641\u0627\u0631\u064A2+\u060C \u0648\u0623\u0648\u0628\u0631\u0627 9.6+ \u0648\u0645\u0639\u0638\u0645 \u0645\u062A\u0635\u0641\u062D\u0627\u062A \u0627\u0644\u062C\u0648\u0627\u0644.",ShowMath:"* \u0645\u0634\u0627\u0647\u062F\u0629 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0643 * \u064A\u0633\u0645\u062D \u0644\u0643 \u0628\u0639\u0631\u0636 \u0645\u0635\u062F\u0631 \u0627\u0644\u0635\u064A\u063A \u0644\u0644\u0646\u0633\u062E \u0648\u0627\u0644\u0644\u0635\u0642 (\u0643 MathML \u0623\u0648 \u0628\u0634\u0643\u0644\u0647 \u0627\u0644\u0623\u0635\u0644\u064A).",Settings:"* \u0636\u0628\u0637 * \u064A\u0645\u0646\u062D\u0643 \u0627\u0644\u0633\u064A\u0637\u0631\u0629 \u0639\u0644\u0649 \u0645\u064A\u0632\u0627\u062A \u0645\u0627\u062B \u062C\u0627\u0643\u0633\u060C \u0645\u062B\u0644 \u062D\u062C\u0645 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A\u060C \u0648\u0622\u0644\u064A\u0629 \u0627\u0633\u062A\u062E\u062F\u0627\u0645\u0647\u0627 \u0644\u0639\u0631\u0636 \u0627\u0644\u0645\u0639\u0627\u062F\u0644\u0627\u062A.",Language:"* \u0627\u0644\u0644\u063A\u0629 * \u064A\u062A\u064A\u062D \u0644\u0643 \u0627\u062E\u062A\u064A\u0627\u0631 \u0627\u0644\u0644\u063A\u0629 \u0627\u0644\u062A\u064A \u064A\u0633\u062A\u062E\u062F\u0645\u0647\u0627 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0644\u0644\u0642\u0648\u0627\u0626\u0645 \u0648\u0631\u0633\u0627\u0626\u0644 \u0627\u0644\u062A\u062D\u0630\u064A\u0631.",Zoom:"* \u062A\u0643\u0628\u064A\u0631 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A *: \u0625\u0630\u0627 \u0643\u0646\u062A \u062A\u0648\u0627\u062C\u0647 \u0635\u0639\u0648\u0628\u0629 \u0641\u064A \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0639\u0627\u062F\u0644\u0629\u060C \u064A\u0645\u0643\u0650\u0651\u0646 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u062A\u0643\u0628\u064A\u0631\u0647\u0627 \u0644\u0645\u0633\u0627\u0639\u062F\u062A\u0643 \u0639\u0644\u0649 \u0645\u0639\u0631\u0641\u0629 \u0623\u0641\u0636\u0644.",Accessibilty:"* \u0627\u0644\u0648\u0635\u0648\u0644 *: \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u064A\u0639\u0645\u0644 \u062A\u0644\u0642\u0627\u0626\u064A\u0627 \u0645\u0639 \u0642\u0627\u0631\u0626\u0627\u062A \u0627\u0644\u0634\u0627\u0634\u0629 \u0644\u062C\u0639\u0644 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0641\u064A \u0645\u062A\u0646\u0627\u0648\u0644 \u0636\u0639\u0627\u0641 \u0627\u0644\u0628\u0635\u0631.",Fonts:"* \u0627\u0644\u062E\u0637\u0648\u0637 *: \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0633\u064A\u0633\u062A\u062E\u062F\u0645 \u062E\u0637\u0648\u0637 \u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0645\u0639\u064A\u0646\u0629 \u0625\u0630\u0627 \u0643\u0627\u0646\u062A \u0645\u062B\u0628\u062A\u0629 \u0639\u0644\u0649 \u062C\u0647\u0627\u0632 \u0627\u0644\u0643\u0645\u0628\u064A\u0648\u062A\u0631 \u0627\u0644\u062E\u0627\u0635 \u0628\u0643\u060C \u062E\u0644\u0627\u0641 \u0630\u0644\u0643\u060C \u0641\u0625\u0646\u0647 \u0633\u064A\u062A\u0645 \u0627\u0633\u062A\u062E\u062F\u0627\u0645 \u0627\u0644\u062E\u0637\u0648\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A. \u0639\u0644\u0649 \u0627\u0644\u0631\u063A\u0645 \u0645\u0646 \u0623\u0646 \u0630\u0644\u0643 \u0644\u064A\u0633 \u0645\u0637\u0644\u0648\u0628\u0627\u060C \u0648\u0627\u0644\u062E\u0637\u0648\u0637 \u0627\u0644\u0645\u062B\u0628\u062A\u0629 \u0645\u062D\u0644\u064A\u0627 \u062A\u0633\u0631\u0639 \u0635\u0641 \u0627\u0644\u062D\u0631\u0648\u0641. \u0646\u0642\u062A\u0631\u062D \u062A\u062B\u0628\u064A\u062A [\u062E\u0637\u0648\u0637 STIX] (%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/HelpDialog.js");
+MathJax.Localization.addTranslation("ar","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"\u0645\u0633\u0627\u0639\u062F\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633",Browsers:"*\u0645\u062A\u0635\u0641\u062D\u0627\u062A*: \u064A\u0639\u0645\u0644 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0645\u0639 \u062C\u0645\u064A\u0639 \u0627\u0644\u0645\u062A\u0635\u0641\u062D\u0627\u062A \u0627\u0644\u062D\u062F\u064A\u062B\u0629 \u0628\u0645\u0627 \u0641\u064A \u0630\u0644\u0643 IE6+\u060C \u0648\u0641\u0627\u064A\u0631\u0641\u0648\u0643\u0633 3+\u060C \u0648\u0643\u0631\u0648\u0645 0.2+\u060C \u0648\u0633\u0641\u0627\u0631\u064A2+\u060C \u0648\u0623\u0648\u0628\u0631\u0627 9.6+ \u0648\u0645\u0639\u0638\u0645 \u0645\u062A\u0635\u0641\u062D\u0627\u062A \u0627\u0644\u062C\u0648\u0627\u0644.",ShowMath:"* \u0645\u0634\u0627\u0647\u062F\u0629 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0643 * \u064A\u0633\u0645\u062D \u0644\u0643 \u0628\u0639\u0631\u0636 \u0645\u0635\u062F\u0631 \u0627\u0644\u0635\u064A\u063A \u0644\u0644\u0646\u0633\u062E \u0648\u0627\u0644\u0644\u0635\u0642 (\u0643 MathML \u0623\u0648 \u0628\u0634\u0643\u0644\u0647 \u0627\u0644\u0623\u0635\u0644\u064A).",Settings:"* \u0636\u0628\u0637 * \u064A\u0645\u0646\u062D\u0643 \u0627\u0644\u0633\u064A\u0637\u0631\u0629 \u0639\u0644\u0649 \u0645\u064A\u0632\u0627\u062A \u0645\u0627\u062B \u062C\u0627\u0643\u0633\u060C \u0645\u062B\u0644 \u062D\u062C\u0645 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A\u060C \u0648\u0622\u0644\u064A\u0629 \u0627\u0633\u062A\u062E\u062F\u0627\u0645\u0647\u0627 \u0644\u0639\u0631\u0636 \u0627\u0644\u0645\u0639\u0627\u062F\u0644\u0627\u062A.",Language:"* \u0627\u0644\u0644\u063A\u0629 * \u064A\u062A\u064A\u062D \u0644\u0643 \u0627\u062E\u062A\u064A\u0627\u0631 \u0627\u0644\u0644\u063A\u0629 \u0627\u0644\u062A\u064A \u064A\u0633\u062A\u062E\u062F\u0645\u0647\u0627 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0644\u0644\u0642\u0648\u0627\u0626\u0645 \u0648\u0631\u0633\u0627\u0626\u0644 \u0627\u0644\u062A\u062D\u0630\u064A\u0631.",Zoom:"* \u062A\u0643\u0628\u064A\u0631 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A *: \u0625\u0630\u0627 \u0643\u0646\u062A \u062A\u0648\u0627\u062C\u0647 \u0635\u0639\u0648\u0628\u0629 \u0641\u064A \u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u0639\u0627\u062F\u0644\u0629\u060C \u064A\u0645\u0643\u0650\u0651\u0646 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u062A\u0643\u0628\u064A\u0631\u0647\u0627 \u0644\u0645\u0633\u0627\u0639\u062F\u062A\u0643 \u0639\u0644\u0649 \u0645\u0639\u0631\u0641\u0629 \u0623\u0641\u0636\u0644.",Accessibilty:"* \u0627\u0644\u0648\u0635\u0648\u0644 *: \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u064A\u0639\u0645\u0644 \u062A\u0644\u0642\u0627\u0626\u064A\u0627 \u0645\u0639 \u0642\u0627\u0631\u0626\u0627\u062A \u0627\u0644\u0634\u0627\u0634\u0629 \u0644\u062C\u0639\u0644 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0641\u064A \u0645\u062A\u0646\u0627\u0648\u0644 \u0636\u0639\u0627\u0641 \u0627\u0644\u0628\u0635\u0631.",Fonts:"* \u0627\u0644\u062E\u0637\u0648\u0637 *: \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0633\u064A\u0633\u062A\u062E\u062F\u0645 \u062E\u0637\u0648\u0637 \u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0645\u0639\u064A\u0646\u0629 \u0625\u0630\u0627 \u0643\u0627\u0646\u062A \u0645\u062B\u0628\u062A\u0629 \u0639\u0644\u0649 \u062C\u0647\u0627\u0632 \u0627\u0644\u0643\u0645\u0628\u064A\u0648\u062A\u0631 \u0627\u0644\u062E\u0627\u0635 \u0628\u0643\u060C \u062E\u0644\u0627\u0641 \u0630\u0644\u0643\u060C \u0641\u0625\u0646\u0647 \u0633\u064A\u062A\u0645 \u0627\u0633\u062A\u062E\u062F\u0627\u0645 \u0627\u0644\u062E\u0637\u0648\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A. \u0639\u0644\u0649 \u0627\u0644\u0631\u063A\u0645 \u0645\u0646 \u0623\u0646 \u0630\u0644\u0643 \u0644\u064A\u0633 \u0645\u0637\u0644\u0648\u0628\u0627\u060C \u0648\u0627\u0644\u062E\u0637\u0648\u0637 \u0627\u0644\u0645\u062B\u0628\u062A\u0629 \u0645\u062D\u0644\u064A\u0627 \u062A\u0633\u0631\u0639 \u0635\u0641 \u0627\u0644\u062D\u0631\u0648\u0641. \u0646\u0642\u062A\u0631\u062D \u062A\u062B\u0628\u064A\u062A [\u062E\u0637\u0648\u0637 STIX] (%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/HelpDialog.js");
diff --git a/localization/ar/MathML.js b/localization/ar/MathML.js
index 63796aea54..ec439d1a88 100644
--- a/localization/ar/MathML.js
+++ b/localization/ar/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ar/MathML.js
+ *  /MathJax-v2/localization/ar/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ar","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"mglyph \u0633\u064A\u0626\u0629: %1",BadMglyphFont:"\u062E\u0637 \u0633\u064A\u0621: %1",UnknownNodeType:"\u0646\u0648\u0639 \u0639\u0642\u062F\u0647 \u063A\u064A\u0631 \u0645\u0639\u0631\u0648\u0641: %1",UnexpectedTextNode:"\u0639\u0642\u062F\u0647 \u063A\u064A\u0631 \u0645\u062A\u0648\u0642\u0639\u0629: %1",ErrorParsingMathML:"\u062D\u062F\u062B \u062E\u0637\u0623 \u0623\u062B\u0646\u0627\u0621 \u062A\u062D\u0644\u064A\u0644 MathML",ParsingError:"\u062D\u062F\u062B \u062E\u0637\u0623 \u0623\u062B\u0646\u0627\u0621 \u062A\u062D\u0644\u064A\u0644 MathML: %1",MathMLSingleElement:"MathML \u064A\u062C\u0628 \u0623\u0646 \u062A\u062A\u0643\u0648\u0646 \u0645\u0646 \u0639\u0646\u0635\u0631 \u0648\u0627\u062D\u062F",MathMLRootElement:"MathML \u064A\u062C\u0628 \u0623\u0646 \u062A\u062A\u0643\u0648\u0646 \u0645\u0646 \u003Cmath\u003E\u0639\u0646\u0635\u0631\u060C \u0644\u0627 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/MathML.js");
+MathJax.Localization.addTranslation("ar","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"mglyph \u0633\u064A\u0626\u0629: %1",BadMglyphFont:"\u062E\u0637 \u0633\u064A\u0621: %1",UnknownNodeType:"\u0646\u0648\u0639 \u0639\u0642\u062F\u0647 \u063A\u064A\u0631 \u0645\u0639\u0631\u0648\u0641: %1",UnexpectedTextNode:"\u0639\u0642\u062F\u0647 \u063A\u064A\u0631 \u0645\u062A\u0648\u0642\u0639\u0629: %1",ErrorParsingMathML:"\u062D\u062F\u062B \u062E\u0637\u0623 \u0623\u062B\u0646\u0627\u0621 \u062A\u062D\u0644\u064A\u0644 MathML",ParsingError:"\u062D\u062F\u062B \u062E\u0637\u0623 \u0623\u062B\u0646\u0627\u0621 \u062A\u062D\u0644\u064A\u0644 MathML: %1",MathMLSingleElement:"MathML \u064A\u062C\u0628 \u0623\u0646 \u062A\u062A\u0643\u0648\u0646 \u0645\u0646 \u0639\u0646\u0635\u0631 \u0648\u0627\u062D\u062F",MathMLRootElement:"MathML \u064A\u062C\u0628 \u0623\u0646 \u062A\u062A\u0643\u0648\u0646 \u0645\u0646 \u003Cmath\u003E\u0639\u0646\u0635\u0631\u060C \u0644\u0627 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/MathML.js");
diff --git a/localization/ar/MathMenu.js b/localization/ar/MathMenu.js
index 2f8dd5970f..0adcb25f07 100644
--- a/localization/ar/MathMenu.js
+++ b/localization/ar/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ar/MathMenu.js
+ *  /MathJax-v2/localization/ar/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ar","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u062A\u0638\u0647\u0631 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0643",MathMLcode:"\u0643\u0648\u062F MathML",OriginalMathML:"MathML \u0627\u0644\u0623\u0635\u0644\u064A\u0629",TeXCommands:"\u0623\u0648\u0627\u0645\u0631 TeX",AsciiMathInput:"\u0625\u062F\u062E\u0627\u0644 AsciiMathML",Original:"\u0627\u0644\u0646\u0645\u0648\u0630\u062C \u0627\u0644\u0623\u0635\u0644\u064A",ErrorMessage:"\u0631\u0633\u0627\u0644\u0629 \u062E\u0637\u0623",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0645\u062D\u062A\u0648\u0649 MathML",OpenMath:"OpenMath",texHints:"\u0623\u0638\u0647\u0631 \u062A\u0644\u0645\u064A\u062D\u0627\u062A TeX \u0641\u064A MathML",Settings:"\u0625\u0639\u062F\u0627\u062F\u0627\u062A \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A",ZoomTrigger:"\u0645\u0634\u063A\u0644 \u0627\u0644\u062A\u0643\u0628\u064A\u0631",Click:"\u0627\u0636\u063A\u0637",DoubleClick:"\u0627\u0636\u063A\u0637 \u0645\u0631\u062A\u064A\u0646",NoZoom:"\u0644\u0627 \u062A\u0643\u0628\u064A\u0631",Option:"\u062E\u064A\u0627\u0631",Alt:"Alt",Control:"\u062A\u062D\u0643\u0645",Shift:"Shift",ZoomFactor:"\u0639\u0627\u0645\u0644 \u0627\u0644\u062A\u0643\u0628\u064A\u0631",Renderer:"\u0639\u0627\u0631\u0636 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A",MPHandles:"\u0627\u0644\u0633\u0645\u0627\u062D \u0628\u0645\u0639\u0627\u0644\u062C\u0629 MathPlayer:",MenuEvents:"\u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0623\u062D\u062F\u0627\u062B",MouseEvents:"\u0623\u062D\u062F\u0627\u062B \u0627\u0644\u0641\u0623\u0631\u0629",MenuAndMouse:"\u0623\u062D\u062F\u0627\u062B \u0627\u0644\u0642\u0627\u0626\u0645\u0629 \u0648\u0627\u0644\u0641\u0623\u0631\u0629",FontPrefs:"\u062A\u0641\u0636\u064A\u0644\u0627\u062A \u0627\u0644\u062E\u0637",ForHTMLCSS:"\u0644HTML-CSS:",ContextMenu:"\u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0645\u062D\u062A\u0648\u064A\u0627\u062A",Browser:"\u0645\u062A\u0635\u0641\u062D",Scale:"\u062D\u062C\u0645 \u0643\u0644 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A...",Locale:"\u0644\u063A\u0629",LoadLocale:"\u0627\u0644\u062A\u062D\u0645\u064A\u0644 \u0645\u0646 \u0631\u0627\u0628\u0637",About:"\u062D\u0648\u0644 \u0645\u0627\u062B \u062C\u0627\u0643\u0633",Help:"\u0645\u0633\u0627\u0639\u062F\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633",wofforotffonts:"\u062E\u0637\u0648\u0637 WOFF \u0623\u0648 OTF",eotffonts:"\u062E\u0637\u0648\u0637 EOT",svgfonts:"\u062E\u0637\u0648\u0637 SVG",WebkitNativeMMLWarning:"\u064A\u0628\u062F\u0648 \u0623\u0646 \u0645\u062A\u0635\u0641\u062D\u0643 \u0644\u0627 \u064A\u062F\u0639\u0645 MathML \u0623\u0635\u0644\u0627; \u0625\u0630\u0627 \u0642\u0645\u062A \u0628\u0627\u0644\u062A\u063A\u064A\u064A\u0631 \u0625\u0644\u0649 \u0639\u0631\u0636 MathML \u064A\u0645\u0643\u0646 \u0623\u0646 \u062A\u062A\u0639\u0630\u0631 \u0642\u0631\u0627\u0621\u0629 \u0635\u064A\u063A \u0627\u0644\u0635\u0641\u062D\u0629 \u0628\u0634\u0643\u0644 \u0635\u062D\u064A\u062D",MSIENativeMMLWarning:"\u064A\u062A\u0637\u0644\u0628 \u0625\u0646\u062A\u0631\u0646\u062A \u0625\u0643\u0633\u0644\u0648\u0631\u0631 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062C \u0627\u0644\u0645\u0633\u0627\u0639\u062F MathPlayer \u0644\u0639\u0645\u0644\u064A\u0629 \u0646\u062A\u064A\u062C\u0629 MathML",OperaNativeMMLWarning:"\u062F\u0639\u0645 \u0623\u0648\u0628\u0631\u0627 MathML \u0645\u062D\u062F\u0648\u062F\u061B \u0625\u0630\u0627 \u0642\u0645\u062A \u0628\u0627\u0644\u062A\u063A\u064A\u064A\u0631 \u0625\u0644\u0649 \u0639\u0631\u0636 MathML \u064A\u0645\u0643\u0646 \u0623\u0644\u0627 \u062A\u064F\u0639\u0631\u0636 \u0628\u0639\u0636 \u0627\u0644\u062A\u0639\u0628\u064A\u0631\u0627\u062A \u0628\u0634\u0643\u0644 \u0635\u062D\u064A\u062D.",SafariNativeMMLWarning:"MathML \u0627\u0644\u0623\u0635\u0644\u064A \u0641\u064A \u0645\u062A\u0635\u0641\u062D\u0643 \u0644\u0627 \u064A\u0646\u0641\u0630 \u0643\u0627\u0641\u0629 \u0627\u0644\u0645\u064A\u0632\u0627\u062A \u0627\u0644\u062A\u064A \u064A\u0633\u062A\u062E\u062F\u0645\u0647\u0627 \u0645\u0627\u062B \u062C\u0627\u0643\u0633; \u0644\u0630\u0644\u0643 \u0628\u0639\u0636 \u0627\u0644\u062A\u0639\u0627\u0628\u064A\u0631 \u0642\u062F \u0644\u0627 \u062A\u0643\u0648\u0646 \u0635\u062D\u064A\u062D\u0629.",FirefoxNativeMMLWarning:"MathML \u0627\u0644\u0623\u0635\u0644\u064A \u0641\u064A \u0645\u062A\u0635\u0641\u062D\u0643 \u0644\u0627 \u064A\u0646\u0641\u0630 \u0643\u0627\u0641\u0629 \u0627\u0644\u0645\u064A\u0632\u0627\u062A \u0627\u0644\u062A\u064A \u064A\u0633\u062A\u062E\u062F\u0645\u0647\u0627 \u0645\u0627\u062B \u062C\u0627\u0643\u0633; \u0644\u0630\u0644\u0643 \u0628\u0639\u0636 \u0627\u0644\u062A\u0639\u0627\u0628\u064A\u0631 \u0642\u062F \u0644\u0627 \u062A\u0643\u0648\u0646 \u0635\u062D\u064A\u062D\u0629.",MSIESVGWarning:"\u0644\u0645 \u064A\u062A\u0645 \u062A\u0646\u0641\u064A\u0630 SVG \u0641\u064A \u0625\u0646\u062A\u0631\u0646\u062A \u0625\u0643\u0633\u0644\u0648\u0631\u0631 \u0642\u0628\u0644 IE9 \u0623\u0648 \u0639\u0646\u062F\u0645\u0627 \u062A\u0643\u0648\u0646 \u0645\u062D\u0627\u0643\u0627\u0629 IE8 \u0623\u0648 \u0623\u0642\u0644. \u0627\u0644\u062A\u062D\u0648\u0644 \u0625\u0644\u0649 \u0645\u062E\u0631\u062C\u0627\u062A SVG \u064A\u062A\u0633\u0628\u0628 \u0641\u064A \u0639\u062F\u0645 \u0639\u0631\u0636 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0628\u0634\u0643\u0644 \u0635\u062D\u064A\u062D.",LoadURL:"\u062A\u062D\u0645\u064A\u0644 \u0628\u064A\u0627\u0646\u0627\u062A \u0627\u0644\u062A\u0631\u062C\u0645\u0629 \u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0631\u0627\u0628\u0637:",BadURL:"\u064A\u062C\u0628 \u0623\u0646 \u064A\u0643\u0648\u0646 \u0639\u0646\u0648\u0627\u0646 URL \u0644\u0645\u0644\u0641 \u062C\u0627\u0641\u0627 \u0633\u0643\u0631\u064A\u0628\u062A \u0627\u0644\u0630\u064A \u064A\u062D\u062F\u062F \u0628\u064A\u0627\u0646\u0627\u062A \u062A\u0631\u062C\u0645\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633. \u064A\u062C\u0628 \u0623\u0646 \u062A\u0646\u062A\u0647\u064A \u0623\u0633\u0645\u0627\u0621 \u0645\u0644\u0641\u0627\u062A \u062C\u0627\u0641\u0627 \u0633\u0643\u0631\u064A\u0628\u062A \u0628'.js",BadData:"\u0641\u0634\u0644 \u062A\u062D\u0645\u064A\u0644 \u0628\u064A\u0627\u0646\u0627\u062A \u0627\u0644\u062A\u0631\u062C\u0645\u0629 \u0645\u0646 %1",SwitchAnyway:"\u062A\u0628\u062F\u064A\u0644 \u0627\u0644\u0639\u0627\u0631\u0636 \u0639\u0644\u0649 \u0623\u064A \u062D\u0627\u0644\u061F (\u0627\u0636\u063A\u0637 \u0645\u0648\u0627\u0641\u0642\u0629 \u0644\u0644\u062A\u0628\u062F\u064A\u0644\u060C \u0648\u0625\u0644\u063A\u0627\u0621 \u0644\u0644\u0645\u0648\u0627\u0635\u0644\u0629 \u0628\u0627\u0644\u0639\u0627\u0631\u0636 \u0627\u0644\u062D\u0627\u0644\u064A)",ScaleMath:"\u062D\u062C\u0645 \u0643\u0644 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A (\u0628\u0627\u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u0645\u0639 \u0627\u0644\u0646\u0635 \u0627\u0644\u0645\u062D\u064A\u0637) \u0628\u0648\u0627\u0633\u0637\u0629",NonZeroScale:"\u0627\u0644\u0642\u064A\u0627\u0633 \u0644\u0627 \u064A\u0645\u0643\u0646 \u0623\u0646 \u064A\u0643\u0648\u0646 \u0635\u0641\u0631",PercentScale:"\u0627\u0644\u0642\u064A\u0627\u0633 \u064A\u062C\u0628 \u0623\u0646 \u064A\u0643\u0648\u0646 \u0646\u0633\u0628\u0629 \u0645\u0626\u0648\u064A\u0629 (\u0639\u0644\u0649 \u0633\u0628\u064A\u0644 \u0627\u0644\u0645\u062B\u0627\u0644 120%%)",IE8warning:"\u0633\u064A\u0624\u062F\u064A \u0630\u0644\u0643 \u0625\u0644\u0649 \u062A\u0639\u0637\u064A\u0644 \u0642\u0627\u0626\u0645\u0629 \u0648\u0645\u0632\u0627\u064A\u0627 \u062A\u0642\u0631\u064A\u0628 \u0645\u0627\u062B \u062C\u0627\u0643\u0633\u060C \u0648\u0644\u0643\u0646 \u064A\u0645\u0643\u0646\u0643 \u0627\u0644\u0636\u063A\u0637 \u0639\u0644\u0649 Alt \u0644\u0644\u062D\u0635\u0648\u0644 \u0639\u0644\u0649 \u0642\u0627\u0626\u0645\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0628\u062F\u0644\u0627 \u0645\u0646 \u0630\u0644\u0643. \u0647\u0644 \u062A\u0631\u064A\u062F \u062D\u0642\u0627 \u062A\u063A\u064A\u064A\u0631 \u0625\u0639\u062F\u0627\u062F\u0627\u062A MathPlayer\u061F",IE9warning:"\u0642\u0627\u0626\u0645\u0629 \u0645\u062D\u062A\u0648\u064A\u0627\u062A \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0633\u0648\u0641 \u064A\u062A\u0645 \u062A\u0639\u0637\u064A\u0644\u0647\u0627\u060C \u0648\u0644\u0643\u0646 \u064A\u0645\u0643\u0646\u0643 \u0627\u0627\u0644\u0636\u063A\u0637 \u0639\u0644\u0649 Alt \u0644\u0644\u062D\u0635\u0648\u0644 \u0639\u0644\u0649 \u0642\u0627\u0626\u0645\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0628\u062F\u0644\u0627 \u0645\u0646 \u0630\u0644\u0643.",NoOriginalForm:"\u0644\u0627 \u064A\u0648\u062C\u062F \u0646\u0645\u0648\u0630\u062C \u0623\u0635\u0644\u064A \u0645\u062A\u0627\u062D",EqSource:"\u0645\u0639\u0627\u062F\u0644\u0629 \u0645\u0635\u062F\u0631 \u0645\u0627\u062B \u062C\u0627\u0643\u0633",FastPreview:"\u0645\u0639\u0627\u064A\u0646\u0629 \u0633\u0631\u064A\u0639\u0629"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/MathMenu.js");
+MathJax.Localization.addTranslation("ar","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u062A\u0638\u0647\u0631 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0643",MathMLcode:"\u0643\u0648\u062F MathML",OriginalMathML:"MathML \u0627\u0644\u0623\u0635\u0644\u064A\u0629",TeXCommands:"\u0623\u0648\u0627\u0645\u0631 TeX",AsciiMathInput:"\u0625\u062F\u062E\u0627\u0644 AsciiMathML",Original:"\u0627\u0644\u0646\u0645\u0648\u0630\u062C \u0627\u0644\u0623\u0635\u0644\u064A",ErrorMessage:"\u0631\u0633\u0627\u0644\u0629 \u062E\u0637\u0623",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0645\u062D\u062A\u0648\u0649 MathML",OpenMath:"OpenMath",texHints:"\u0623\u0638\u0647\u0631 \u062A\u0644\u0645\u064A\u062D\u0627\u062A TeX \u0641\u064A MathML",Settings:"\u0625\u0639\u062F\u0627\u062F\u0627\u062A \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A",ZoomTrigger:"\u0645\u0634\u063A\u0644 \u0627\u0644\u062A\u0643\u0628\u064A\u0631",Click:"\u0627\u0636\u063A\u0637",DoubleClick:"\u0627\u0636\u063A\u0637 \u0645\u0631\u062A\u064A\u0646",NoZoom:"\u0644\u0627 \u062A\u0643\u0628\u064A\u0631",Option:"\u062E\u064A\u0627\u0631",Alt:"Alt",Control:"\u062A\u062D\u0643\u0645",Shift:"Shift",ZoomFactor:"\u0639\u0627\u0645\u0644 \u0627\u0644\u062A\u0643\u0628\u064A\u0631",Renderer:"\u0639\u0627\u0631\u0636 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A",MPHandles:"\u0627\u0644\u0633\u0645\u0627\u062D \u0628\u0645\u0639\u0627\u0644\u062C\u0629 MathPlayer:",MenuEvents:"\u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0623\u062D\u062F\u0627\u062B",MouseEvents:"\u0623\u062D\u062F\u0627\u062B \u0627\u0644\u0641\u0623\u0631\u0629",MenuAndMouse:"\u0623\u062D\u062F\u0627\u062B \u0627\u0644\u0642\u0627\u0626\u0645\u0629 \u0648\u0627\u0644\u0641\u0623\u0631\u0629",FontPrefs:"\u062A\u0641\u0636\u064A\u0644\u0627\u062A \u0627\u0644\u062E\u0637",ForHTMLCSS:"\u0644HTML-CSS:",ContextMenu:"\u0642\u0627\u0626\u0645\u0629 \u0627\u0644\u0645\u062D\u062A\u0648\u064A\u0627\u062A",Browser:"\u0645\u062A\u0635\u0641\u062D",Scale:"\u062D\u062C\u0645 \u0643\u0644 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A...",Locale:"\u0644\u063A\u0629",LoadLocale:"\u0627\u0644\u062A\u062D\u0645\u064A\u0644 \u0645\u0646 \u0631\u0627\u0628\u0637",About:"\u062D\u0648\u0644 \u0645\u0627\u062B \u062C\u0627\u0643\u0633",Help:"\u0645\u0633\u0627\u0639\u062F\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633",wofforotffonts:"\u062E\u0637\u0648\u0637 WOFF \u0623\u0648 OTF",eotffonts:"\u062E\u0637\u0648\u0637 EOT",svgfonts:"\u062E\u0637\u0648\u0637 SVG",WebkitNativeMMLWarning:"\u064A\u0628\u062F\u0648 \u0623\u0646 \u0645\u062A\u0635\u0641\u062D\u0643 \u0644\u0627 \u064A\u062F\u0639\u0645 MathML \u0623\u0635\u0644\u0627; \u0625\u0630\u0627 \u0642\u0645\u062A \u0628\u0627\u0644\u062A\u063A\u064A\u064A\u0631 \u0625\u0644\u0649 \u0639\u0631\u0636 MathML \u064A\u0645\u0643\u0646 \u0623\u0646 \u062A\u062A\u0639\u0630\u0631 \u0642\u0631\u0627\u0621\u0629 \u0635\u064A\u063A \u0627\u0644\u0635\u0641\u062D\u0629 \u0628\u0634\u0643\u0644 \u0635\u062D\u064A\u062D",MSIENativeMMLWarning:"\u064A\u062A\u0637\u0644\u0628 \u0625\u0646\u062A\u0631\u0646\u062A \u0625\u0643\u0633\u0644\u0648\u0631\u0631 \u0627\u0644\u0628\u0631\u0646\u0627\u0645\u062C \u0627\u0644\u0645\u0633\u0627\u0639\u062F MathPlayer \u0644\u0639\u0645\u0644\u064A\u0629 \u0646\u062A\u064A\u062C\u0629 MathML",OperaNativeMMLWarning:"\u062F\u0639\u0645 \u0623\u0648\u0628\u0631\u0627 MathML \u0645\u062D\u062F\u0648\u062F\u061B \u0625\u0630\u0627 \u0642\u0645\u062A \u0628\u0627\u0644\u062A\u063A\u064A\u064A\u0631 \u0625\u0644\u0649 \u0639\u0631\u0636 MathML \u064A\u0645\u0643\u0646 \u0623\u0644\u0627 \u062A\u064F\u0639\u0631\u0636 \u0628\u0639\u0636 \u0627\u0644\u062A\u0639\u0628\u064A\u0631\u0627\u062A \u0628\u0634\u0643\u0644 \u0635\u062D\u064A\u062D.",SafariNativeMMLWarning:"MathML \u0627\u0644\u0623\u0635\u0644\u064A \u0641\u064A \u0645\u062A\u0635\u0641\u062D\u0643 \u0644\u0627 \u064A\u0646\u0641\u0630 \u0643\u0627\u0641\u0629 \u0627\u0644\u0645\u064A\u0632\u0627\u062A \u0627\u0644\u062A\u064A \u064A\u0633\u062A\u062E\u062F\u0645\u0647\u0627 \u0645\u0627\u062B \u062C\u0627\u0643\u0633; \u0644\u0630\u0644\u0643 \u0628\u0639\u0636 \u0627\u0644\u062A\u0639\u0627\u0628\u064A\u0631 \u0642\u062F \u0644\u0627 \u062A\u0643\u0648\u0646 \u0635\u062D\u064A\u062D\u0629.",FirefoxNativeMMLWarning:"MathML \u0627\u0644\u0623\u0635\u0644\u064A \u0641\u064A \u0645\u062A\u0635\u0641\u062D\u0643 \u0644\u0627 \u064A\u0646\u0641\u0630 \u0643\u0627\u0641\u0629 \u0627\u0644\u0645\u064A\u0632\u0627\u062A \u0627\u0644\u062A\u064A \u064A\u0633\u062A\u062E\u062F\u0645\u0647\u0627 \u0645\u0627\u062B \u062C\u0627\u0643\u0633; \u0644\u0630\u0644\u0643 \u0628\u0639\u0636 \u0627\u0644\u062A\u0639\u0627\u0628\u064A\u0631 \u0642\u062F \u0644\u0627 \u062A\u0643\u0648\u0646 \u0635\u062D\u064A\u062D\u0629.",MSIESVGWarning:"\u0644\u0645 \u064A\u062A\u0645 \u062A\u0646\u0641\u064A\u0630 SVG \u0641\u064A \u0625\u0646\u062A\u0631\u0646\u062A \u0625\u0643\u0633\u0644\u0648\u0631\u0631 \u0642\u0628\u0644 IE9 \u0623\u0648 \u0639\u0646\u062F\u0645\u0627 \u062A\u0643\u0648\u0646 \u0645\u062D\u0627\u0643\u0627\u0629 IE8 \u0623\u0648 \u0623\u0642\u0644. \u0627\u0644\u062A\u062D\u0648\u0644 \u0625\u0644\u0649 \u0645\u062E\u0631\u062C\u0627\u062A SVG \u064A\u062A\u0633\u0628\u0628 \u0641\u064A \u0639\u062F\u0645 \u0639\u0631\u0636 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0628\u0634\u0643\u0644 \u0635\u062D\u064A\u062D.",LoadURL:"\u062A\u062D\u0645\u064A\u0644 \u0628\u064A\u0627\u0646\u0627\u062A \u0627\u0644\u062A\u0631\u062C\u0645\u0629 \u0645\u0646 \u0647\u0630\u0627 \u0627\u0644\u0631\u0627\u0628\u0637:",BadURL:"\u064A\u062C\u0628 \u0623\u0646 \u064A\u0643\u0648\u0646 \u0639\u0646\u0648\u0627\u0646 URL \u0644\u0645\u0644\u0641 \u062C\u0627\u0641\u0627 \u0633\u0643\u0631\u064A\u0628\u062A \u0627\u0644\u0630\u064A \u064A\u062D\u062F\u062F \u0628\u064A\u0627\u0646\u0627\u062A \u062A\u0631\u062C\u0645\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633. \u064A\u062C\u0628 \u0623\u0646 \u062A\u0646\u062A\u0647\u064A \u0623\u0633\u0645\u0627\u0621 \u0645\u0644\u0641\u0627\u062A \u062C\u0627\u0641\u0627 \u0633\u0643\u0631\u064A\u0628\u062A \u0628'.js",BadData:"\u0641\u0634\u0644 \u062A\u062D\u0645\u064A\u0644 \u0628\u064A\u0627\u0646\u0627\u062A \u0627\u0644\u062A\u0631\u062C\u0645\u0629 \u0645\u0646 %1",SwitchAnyway:"\u062A\u0628\u062F\u064A\u0644 \u0627\u0644\u0639\u0627\u0631\u0636 \u0639\u0644\u0649 \u0623\u064A \u062D\u0627\u0644\u061F (\u0627\u0636\u063A\u0637 \u0645\u0648\u0627\u0641\u0642\u0629 \u0644\u0644\u062A\u0628\u062F\u064A\u0644\u060C \u0648\u0625\u0644\u063A\u0627\u0621 \u0644\u0644\u0645\u0648\u0627\u0635\u0644\u0629 \u0628\u0627\u0644\u0639\u0627\u0631\u0636 \u0627\u0644\u062D\u0627\u0644\u064A)",ScaleMath:"\u062D\u062C\u0645 \u0643\u0644 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A (\u0628\u0627\u0644\u0645\u0642\u0627\u0631\u0646\u0629 \u0645\u0639 \u0627\u0644\u0646\u0635 \u0627\u0644\u0645\u062D\u064A\u0637) \u0628\u0648\u0627\u0633\u0637\u0629",NonZeroScale:"\u0627\u0644\u0642\u064A\u0627\u0633 \u0644\u0627 \u064A\u0645\u0643\u0646 \u0623\u0646 \u064A\u0643\u0648\u0646 \u0635\u0641\u0631",PercentScale:"\u0627\u0644\u0642\u064A\u0627\u0633 \u064A\u062C\u0628 \u0623\u0646 \u064A\u0643\u0648\u0646 \u0646\u0633\u0628\u0629 \u0645\u0626\u0648\u064A\u0629 (\u0639\u0644\u0649 \u0633\u0628\u064A\u0644 \u0627\u0644\u0645\u062B\u0627\u0644 120%%)",IE8warning:"\u0633\u064A\u0624\u062F\u064A \u0630\u0644\u0643 \u0625\u0644\u0649 \u062A\u0639\u0637\u064A\u0644 \u0642\u0627\u0626\u0645\u0629 \u0648\u0645\u0632\u0627\u064A\u0627 \u062A\u0642\u0631\u064A\u0628 \u0645\u0627\u062B \u062C\u0627\u0643\u0633\u060C \u0648\u0644\u0643\u0646 \u064A\u0645\u0643\u0646\u0643 \u0627\u0644\u0636\u063A\u0637 \u0639\u0644\u0649 Alt \u0644\u0644\u062D\u0635\u0648\u0644 \u0639\u0644\u0649 \u0642\u0627\u0626\u0645\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0628\u062F\u0644\u0627 \u0645\u0646 \u0630\u0644\u0643. \u0647\u0644 \u062A\u0631\u064A\u062F \u062D\u0642\u0627 \u062A\u063A\u064A\u064A\u0631 \u0625\u0639\u062F\u0627\u062F\u0627\u062A MathPlayer\u061F",IE9warning:"\u0642\u0627\u0626\u0645\u0629 \u0645\u062D\u062A\u0648\u064A\u0627\u062A \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0633\u0648\u0641 \u064A\u062A\u0645 \u062A\u0639\u0637\u064A\u0644\u0647\u0627\u060C \u0648\u0644\u0643\u0646 \u064A\u0645\u0643\u0646\u0643 \u0627\u0627\u0644\u0636\u063A\u0637 \u0639\u0644\u0649 Alt \u0644\u0644\u062D\u0635\u0648\u0644 \u0639\u0644\u0649 \u0642\u0627\u0626\u0645\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u0628\u062F\u0644\u0627 \u0645\u0646 \u0630\u0644\u0643.",NoOriginalForm:"\u0644\u0627 \u064A\u0648\u062C\u062F \u0646\u0645\u0648\u0630\u062C \u0623\u0635\u0644\u064A \u0645\u062A\u0627\u062D",EqSource:"\u0645\u0639\u0627\u062F\u0644\u0629 \u0645\u0635\u062F\u0631 \u0645\u0627\u062B \u062C\u0627\u0643\u0633",FastPreview:"\u0645\u0639\u0627\u064A\u0646\u0629 \u0633\u0631\u064A\u0639\u0629"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/MathMenu.js");
diff --git a/localization/ar/TeX.js b/localization/ar/TeX.js
index 76a3dc89e5..aab4f21470 100644
--- a/localization/ar/TeX.js
+++ b/localization/ar/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ar/TeX.js
+ *  /MathJax-v2/localization/ar/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ar","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0642\u0648\u0633 \u0645\u0641\u062A\u0648\u062D \u0625\u0636\u0627\u0641\u064A \u0623\u0648 \u063A\u0644\u0642 \u0642\u0648\u0633 \u0645\u0641\u0642\u0648\u062F",ExtraCloseMissingOpen:"\u0642\u0648\u0633 \u0645\u063A\u0644\u0642 \u0625\u0636\u0627\u0641\u064A \u0623\u0648 \u0641\u062A\u062D \u0642\u0648\u0633 \u0645\u0641\u0642\u0648\u062F",MissingLeftExtraRight:"\u064A\u0633\u0627\u0631 /\u0645\u0641\u0642\u0648\u062F \u0623\u0648 \u064A\u0645\u064A\u0646 /\u0625\u0636\u0627\u0641\u064A",ExtraLeftMissingRight:"\u064A\u0633\u0627\u0631 /\u0625\u0636\u0627\u0641\u064A \u0623\u0648 \u064A\u0645\u064A\u0646 /\u0645\u0641\u0642\u0648\u062F",Misplaced:"%1 \u0641\u064A \u063A\u064A\u0631 \u0645\u062D\u0644\u0647",AmbiguousUseOf:"\u0627\u0633\u062A\u062E\u062F\u0627\u0645 \u063A\u0627\u0645\u0636 \u0644%1",EnvBadEnd:"\\\u0628\u062F\u0627\u064A\u0629{%1} \u064A\u0646\u062A\u0647\u064A \u0628 \\\u0646\u0647\u0627\u064A\u0629{%2}",EnvMissingEnd:"\u0646\u0647\u0627\u064A\u0629\\\u0645\u0641\u0642\u0648\u062F\u0629{%1}",MissingBoxFor:"\u0635\u0646\u062F\u0648\u0642 \u0645\u0641\u0642\u0648\u062F \u0644 %1",UndefinedControlSequence:"%1 \u062A\u0633\u0644\u0633\u0644 \u0645\u0631\u0627\u0642\u0628\u0629 \u063A\u064A\u0631 \u0645\u0639\u0631\u0648\u0641",DoubleExponent:"\u0623\u0633 \u0645\u0632\u062F\u0648\u062C: \u0627\u0633\u062A\u062E\u062F\u0645 \u0627\u0644\u0623\u0642\u0648\u0627\u0633 \u0644\u0644\u062A\u0648\u0636\u064A\u062D",DoubleSubscripts:"\u0627\u0644\u062D\u0631\u0648\u0641 \u0627\u0644\u0633\u0641\u0644\u064A\u0629 \u0645\u0632\u062F\u0648\u062C\u0629: \u0627\u0633\u062A\u062E\u062F\u0645 \u0627\u0644\u0623\u0642\u0648\u0627\u0633 \u0644\u0644\u062A\u0648\u0636\u064A\u062D",DoubleExponentPrime:"\u0639\u062F\u062F \u0623\u0648\u0644\u064A \u064A\u0633\u0628\u0628 \u0623\u0633 \u0645\u0632\u062F\u0648\u062C: \u0627\u0633\u062A\u062E\u062F\u0645 \u0627\u0644\u0623\u0642\u0648\u0627\u0633 \u0644\u0644\u062A\u0648\u0636\u064A\u062D",CantUseHash1:"\u0644\u0627 \u064A\u0645\u0643\u0646\u0643 \u0627\u0633\u062A\u062E\u062F\u0627\u0645 '\u0627\u0644\u062D\u0631\u0641 \u0627\u0644\u0645\u0639\u0644\u0645 \u0627\u0644\u0643\u0644\u064A#' \u0641\u064A \u0648\u0636\u0639 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A",MisplacedMiddle:"%1 \u064A\u062C\u0628 \u0623\u0646 \u064A\u0643\u0648\u0646 \u0636\u0645\u0646 \\\u064A\u0633\u0627\u0631 \u0648\\\u064A\u0645\u064A\u0646",MisplacedLimits:"%1 \u0645\u0633\u0645\u0648\u062D \u0641\u0642\u0637 \u0639\u0644\u0649 \u0627\u0644\u0645\u0634\u063A\u0644\u064A\u0646",MisplacedMoveRoot:"%1 \u064A\u0645\u0643\u0646 \u0623\u0646 \u062A\u0638\u0647\u0631 \u0641\u0642\u0637 \u0641\u064A \u0627\u0644\u062C\u0630\u0631",MultipleCommand:"%1 \u0645\u062A\u0639\u062F\u062F",NotMathMLToken:"%1 \u0644\u064A\u0633 \u0639\u0646\u0635\u0631\u064B\u0627 \u0631\u0645\u0632\u064A\u064B\u0627",UnknownAttrForElement:"%1 \u0644\u064A\u0633\u062A \u0633\u0645\u0629 \u0645\u0639\u062A\u0631\u0641 \u0628\u0647\u0627 \u0644%2",ExtraAlignTab:"\u0645\u062D\u0627\u0630\u0627\u0629 \u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u062A\u0628\u0648\u064A\u0628 \u0625\u0636\u0627\u0641\u064A\u0629 \u0641\u064A \\\u062D\u0627\u0644\u0627\u062A \u0627\u0644\u0646\u0635\u0648\u0635",InvalidEnv:"\u0627\u0633\u0645 \u0628\u064A\u0626\u0629 \u063A\u064A\u0631 \u0635\u0627\u0644\u062D '%1'",UnknownEnv:"\u0628\u064A\u0626\u0629 \u063A\u064A\u0631 \u0645\u0639\u0631\u0648\u0641\u0629 '%1'",ExtraCloseLooking:"\u063A\u0644\u0642 \u0642\u0648\u0633 \u0625\u0636\u0627\u0641\u064A \u0623\u062B\u0646\u0627\u0621 \u0627\u0644\u0628\u062D\u062B \u0639\u0646 %1",MissingOrUnrecognizedDelim:"\u0645\u062D\u062F\u062F \u0645\u0641\u0642\u0648\u062F \u0623\u0648 \u063A\u064A\u0631 \u0645\u0639\u062A\u0631\u0641 \u0628\u0647 \u0644 %1",MissingDimOrUnits:"\u0628\u0639\u062F (\u0623\u0648 \u0648\u062D\u062F\u0627\u062A\u0647) \u0645\u0641\u0642\u0648\u062F \u0644 %1",TokenNotFoundForCommand:"\u0644\u0645 \u064A\u062A\u0645 \u0627\u064A\u062C\u0627\u062F %1 \u0625\u0644\u064A %2",MathNotTerminated:"\u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0644\u0627 \u062A\u0646\u062A\u0647\u064A \u0641\u064A \u0645\u0631\u0628\u0639 \u0627\u0644\u0646\u0635",IllegalMacroParam:"\u0645\u0631\u062C\u0639 \u0645\u0639\u0644\u0645 \u0643\u0644\u064A \u063A\u064A\u0631 \u0642\u0627\u0646\u0648\u0646\u064A",MaxBufferSize:"\u062A\u0645 \u062A\u062C\u0627\u0648\u0632 \u062D\u062C\u0645 \u0627\u0644\u0645\u062E\u0632\u0646 \u0627\u0644\u0645\u0624\u0642\u062A \u0627\u0644\u062F\u0627\u062E\u0644\u064A \u0644\u0645\u0627\u062B \u062C\u0627\u0643\u0633. \u0647\u0644 \u0647\u0646\u0627\u0643 \u0627\u0633\u062A\u062F\u0639\u0627\u0621 \u0645\u0627\u0643\u0631\u0648 \u0645\u0643\u0631\u0631\u061F",CommandNotAllowedInEnv:"%1 \u063A\u064A\u0631 \u0645\u0633\u0645\u0648\u062D \u0641\u064A \u0628\u064A\u0626\u0629 %2",MultipleLabel:"\u062A\u062D\u062F\u064A\u062F \u0645\u0636\u0627\u0639\u0641 \u0644\u062A\u0633\u0645\u064A\u0629 '%1'",CommandAtTheBeginingOfLine:"\u064A\u062C\u0628 \u0623\u0646 \u064A\u0623\u062A\u064A \u0641\u064A \u0628\u062F\u0627\u064A\u0629 \u0627\u0644\u0633\u0637\u0631 %1",IllegalAlign:"\u0645\u062D\u0627\u0630\u0627\u0629 \u063A\u064A\u0631 \u0642\u0627\u0646\u0648\u0646\u064A\u0629 \u0645\u062D\u062F\u062F\u0629 \u0641\u064A %1",BadMathStyleFor:"\u0646\u0645\u0637 \u0631\u064A\u0627\u0636\u064A \u0633\u064A\u0621 \u0644 %1",MultlineRowsOneCol:"\u0627\u0644\u0635\u0641\u0648\u0641 \u0636\u0645\u0646 \u0628\u064A\u0626\u0629 %1 \u064A\u062C\u0628 \u0623\u0646 \u062A\u062D\u062A\u0648\u064A \u0639\u0644\u0649 \u0639\u0645\u0648\u062F \u0648\u0627\u062D\u062F \u0628\u0627\u0644\u0636\u0628\u0637",MultipleBBoxProperty:"%1 \u0645\u062D\u062F\u062F \u0645\u0631\u062A\u064A\u0646 \u0641\u064A %2",ExtraEndMissingBegin:"%1 \u0625\u0636\u0627\u0641\u064A \u0623\u0648 \u0645\u0641\u0642\u0648\u062F \\begingroup",GlobalNotFollowedBy:"%1 \u0644\u0645 \u064A\u062A\u0645 \u062A\u062A\u0628\u0639\u0647 \\let, \\def, \u0623\u0648 \\newcommand",UndefinedColorModel:"\u0646\u0645\u0648\u0630\u062C \u0627\u0644\u0644\u0648\u0646 '%1' \u063A\u064A\u0631 \u0645\u0639\u0631\u0641",ModelArg1:"\u0642\u064A\u0645 \u0627\u0644\u0644\u0648\u0646 \u0644\u0644\u0646\u0645\u0648\u0630\u062C %1 \u062A\u062A\u0637\u0644\u0628 3 \u0623\u0631\u0642\u0627\u0645",InvalidDecimalNumber:"\u0639\u062F\u062F \u0639\u0634\u0631\u064A \u063A\u064A\u0631 \u0635\u0627\u0644\u062D",ModelArg2:"\u064A\u062C\u0628 \u0623\u0646 \u062A\u0643\u0648\u0646 \u0642\u064A\u0645 \u0627\u0644\u0644\u0648\u0646 \u0644\u0644\u0646\u0645\u0648\u0630\u062C %1 \u0628\u064A\u0646 %2 \u0648%3",InvalidNumber:"\u0639\u062F\u062F \u063A\u064A\u0631 \u0635\u0627\u0644\u062D",NoClosingChar:"\u0644\u0627 \u064A\u0645\u0643\u0646 \u0627\u0644\u0639\u062B\u0648\u0631 \u0639\u0644\u0649 \u0625\u063A\u0644\u0627\u0642 %1",IllegalParamNumber:"\u0639\u062F\u062F \u063A\u064A\u0631 \u0645\u0634\u0631\u0648\u0639 \u0644\u0644\u0645\u0639\u0627\u064A\u064A\u0631 \u0627\u0644\u0645\u062D\u062F\u062F\u0629 \u0641\u064A %1",CantUseHash2:"\u0627\u0633\u062A\u062E\u062F\u0627\u0645 \u063A\u064A\u0631 \u0627\u0644\u0645\u0634\u0631\u0648\u0639 \u0644# \u0641\u064A \u0642\u0627\u0644\u0628 \u0644%1",SequentialParam:"\u0645\u0639\u0644\u0645\u0627\u062A %1 \u064A\u062C\u0628 \u0623\u0646 \u064A\u062A\u0645 \u062A\u0631\u0642\u064A\u0645\u0647\u0627 \u0628\u0627\u0644\u062A\u0633\u0644\u0633\u0644",MissingReplacementString:"\u0633\u0644\u0633\u0644\u0629 \u0628\u062F\u064A\u0644\u0629 \u0644\u062A\u0639\u0631\u064A\u0641 %1 \u0645\u0641\u0642\u0648\u062F\u0629",MismatchUseDef:"\u0627\u0633\u062A\u062E\u062F\u0627\u0645 %1 \u0644\u0627 \u064A\u062A\u0637\u0627\u0628\u0642 \u0645\u0639 \u062A\u0639\u0631\u064A\u0641\u0647",NoClosingDelim:"\u0644\u0627 \u064A\u0645\u0643\u0646 \u0627\u0644\u0639\u062B\u0648\u0631 \u0639\u0644\u0649 \u0625\u063A\u0644\u0627\u0642 \u0645\u062D\u062F\u062F \u0644%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/TeX.js");
+MathJax.Localization.addTranslation("ar","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0642\u0648\u0633 \u0645\u0641\u062A\u0648\u062D \u0625\u0636\u0627\u0641\u064A \u0623\u0648 \u063A\u0644\u0642 \u0642\u0648\u0633 \u0645\u0641\u0642\u0648\u062F",ExtraCloseMissingOpen:"\u0642\u0648\u0633 \u0645\u063A\u0644\u0642 \u0625\u0636\u0627\u0641\u064A \u0623\u0648 \u0641\u062A\u062D \u0642\u0648\u0633 \u0645\u0641\u0642\u0648\u062F",MissingLeftExtraRight:"\u064A\u0633\u0627\u0631 /\u0645\u0641\u0642\u0648\u062F \u0623\u0648 \u064A\u0645\u064A\u0646 /\u0625\u0636\u0627\u0641\u064A",ExtraLeftMissingRight:"\u064A\u0633\u0627\u0631 /\u0625\u0636\u0627\u0641\u064A \u0623\u0648 \u064A\u0645\u064A\u0646 /\u0645\u0641\u0642\u0648\u062F",Misplaced:"%1 \u0641\u064A \u063A\u064A\u0631 \u0645\u062D\u0644\u0647",AmbiguousUseOf:"\u0627\u0633\u062A\u062E\u062F\u0627\u0645 \u063A\u0627\u0645\u0636 \u0644%1",EnvBadEnd:"\\\u0628\u062F\u0627\u064A\u0629{%1} \u064A\u0646\u062A\u0647\u064A \u0628 \\\u0646\u0647\u0627\u064A\u0629{%2}",EnvMissingEnd:"\u0646\u0647\u0627\u064A\u0629\\\u0645\u0641\u0642\u0648\u062F\u0629{%1}",MissingBoxFor:"\u0635\u0646\u062F\u0648\u0642 \u0645\u0641\u0642\u0648\u062F \u0644 %1",UndefinedControlSequence:"%1 \u062A\u0633\u0644\u0633\u0644 \u0645\u0631\u0627\u0642\u0628\u0629 \u063A\u064A\u0631 \u0645\u0639\u0631\u0648\u0641",DoubleExponent:"\u0623\u0633 \u0645\u0632\u062F\u0648\u062C: \u0627\u0633\u062A\u062E\u062F\u0645 \u0627\u0644\u0623\u0642\u0648\u0627\u0633 \u0644\u0644\u062A\u0648\u0636\u064A\u062D",DoubleSubscripts:"\u0627\u0644\u062D\u0631\u0648\u0641 \u0627\u0644\u0633\u0641\u0644\u064A\u0629 \u0645\u0632\u062F\u0648\u062C\u0629: \u0627\u0633\u062A\u062E\u062F\u0645 \u0627\u0644\u0623\u0642\u0648\u0627\u0633 \u0644\u0644\u062A\u0648\u0636\u064A\u062D",DoubleExponentPrime:"\u0639\u062F\u062F \u0623\u0648\u0644\u064A \u064A\u0633\u0628\u0628 \u0623\u0633 \u0645\u0632\u062F\u0648\u062C: \u0627\u0633\u062A\u062E\u062F\u0645 \u0627\u0644\u0623\u0642\u0648\u0627\u0633 \u0644\u0644\u062A\u0648\u0636\u064A\u062D",CantUseHash1:"\u0644\u0627 \u064A\u0645\u0643\u0646\u0643 \u0627\u0633\u062A\u062E\u062F\u0627\u0645 '\u0627\u0644\u062D\u0631\u0641 \u0627\u0644\u0645\u0639\u0644\u0645 \u0627\u0644\u0643\u0644\u064A#' \u0641\u064A \u0648\u0636\u0639 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A",MisplacedMiddle:"%1 \u064A\u062C\u0628 \u0623\u0646 \u064A\u0643\u0648\u0646 \u0636\u0645\u0646 \\\u064A\u0633\u0627\u0631 \u0648\\\u064A\u0645\u064A\u0646",MisplacedLimits:"%1 \u0645\u0633\u0645\u0648\u062D \u0641\u0642\u0637 \u0639\u0644\u0649 \u0627\u0644\u0645\u0634\u063A\u0644\u064A\u0646",MisplacedMoveRoot:"%1 \u064A\u0645\u0643\u0646 \u0623\u0646 \u062A\u0638\u0647\u0631 \u0641\u0642\u0637 \u0641\u064A \u0627\u0644\u062C\u0630\u0631",MultipleCommand:"%1 \u0645\u062A\u0639\u062F\u062F",NotMathMLToken:"%1 \u0644\u064A\u0633 \u0639\u0646\u0635\u0631\u064B\u0627 \u0631\u0645\u0632\u064A\u064B\u0627",UnknownAttrForElement:"%1 \u0644\u064A\u0633\u062A \u0633\u0645\u0629 \u0645\u0639\u062A\u0631\u0641 \u0628\u0647\u0627 \u0644%2",ExtraAlignTab:"\u0645\u062D\u0627\u0630\u0627\u0629 \u0639\u0644\u0627\u0645\u0629 \u0627\u0644\u062A\u0628\u0648\u064A\u0628 \u0625\u0636\u0627\u0641\u064A\u0629 \u0641\u064A \\\u062D\u0627\u0644\u0627\u062A \u0627\u0644\u0646\u0635\u0648\u0635",InvalidEnv:"\u0627\u0633\u0645 \u0628\u064A\u0626\u0629 \u063A\u064A\u0631 \u0635\u0627\u0644\u062D '%1'",UnknownEnv:"\u0628\u064A\u0626\u0629 \u063A\u064A\u0631 \u0645\u0639\u0631\u0648\u0641\u0629 '%1'",ExtraCloseLooking:"\u063A\u0644\u0642 \u0642\u0648\u0633 \u0625\u0636\u0627\u0641\u064A \u0623\u062B\u0646\u0627\u0621 \u0627\u0644\u0628\u062D\u062B \u0639\u0646 %1",MissingOrUnrecognizedDelim:"\u0645\u062D\u062F\u062F \u0645\u0641\u0642\u0648\u062F \u0623\u0648 \u063A\u064A\u0631 \u0645\u0639\u062A\u0631\u0641 \u0628\u0647 \u0644 %1",MissingDimOrUnits:"\u0628\u0639\u062F (\u0623\u0648 \u0648\u062D\u062F\u0627\u062A\u0647) \u0645\u0641\u0642\u0648\u062F \u0644 %1",TokenNotFoundForCommand:"\u0644\u0645 \u064A\u062A\u0645 \u0627\u064A\u062C\u0627\u062F %1 \u0625\u0644\u064A %2",MathNotTerminated:"\u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0644\u0627 \u062A\u0646\u062A\u0647\u064A \u0641\u064A \u0645\u0631\u0628\u0639 \u0627\u0644\u0646\u0635",IllegalMacroParam:"\u0645\u0631\u062C\u0639 \u0645\u0639\u0644\u0645 \u0643\u0644\u064A \u063A\u064A\u0631 \u0642\u0627\u0646\u0648\u0646\u064A",MaxBufferSize:"\u062A\u0645 \u062A\u062C\u0627\u0648\u0632 \u062D\u062C\u0645 \u0627\u0644\u0645\u062E\u0632\u0646 \u0627\u0644\u0645\u0624\u0642\u062A \u0627\u0644\u062F\u0627\u062E\u0644\u064A \u0644\u0645\u0627\u062B \u062C\u0627\u0643\u0633. \u0647\u0644 \u0647\u0646\u0627\u0643 \u0627\u0633\u062A\u062F\u0639\u0627\u0621 \u0645\u0627\u0643\u0631\u0648 \u0645\u0643\u0631\u0631\u061F",CommandNotAllowedInEnv:"%1 \u063A\u064A\u0631 \u0645\u0633\u0645\u0648\u062D \u0641\u064A \u0628\u064A\u0626\u0629 %2",MultipleLabel:"\u062A\u062D\u062F\u064A\u062F \u0645\u0636\u0627\u0639\u0641 \u0644\u062A\u0633\u0645\u064A\u0629 '%1'",CommandAtTheBeginingOfLine:"\u064A\u062C\u0628 \u0623\u0646 \u064A\u0623\u062A\u064A \u0641\u064A \u0628\u062F\u0627\u064A\u0629 \u0627\u0644\u0633\u0637\u0631 %1",IllegalAlign:"\u0645\u062D\u0627\u0630\u0627\u0629 \u063A\u064A\u0631 \u0642\u0627\u0646\u0648\u0646\u064A\u0629 \u0645\u062D\u062F\u062F\u0629 \u0641\u064A %1",BadMathStyleFor:"\u0646\u0645\u0637 \u0631\u064A\u0627\u0636\u064A \u0633\u064A\u0621 \u0644 %1",MultlineRowsOneCol:"\u0627\u0644\u0635\u0641\u0648\u0641 \u0636\u0645\u0646 \u0628\u064A\u0626\u0629 %1 \u064A\u062C\u0628 \u0623\u0646 \u062A\u062D\u062A\u0648\u064A \u0639\u0644\u0649 \u0639\u0645\u0648\u062F \u0648\u0627\u062D\u062F \u0628\u0627\u0644\u0636\u0628\u0637",MultipleBBoxProperty:"%1 \u0645\u062D\u062F\u062F \u0645\u0631\u062A\u064A\u0646 \u0641\u064A %2",ExtraEndMissingBegin:"%1 \u0625\u0636\u0627\u0641\u064A \u0623\u0648 \u0645\u0641\u0642\u0648\u062F \\begingroup",GlobalNotFollowedBy:"%1 \u0644\u0645 \u064A\u062A\u0645 \u062A\u062A\u0628\u0639\u0647 \\let, \\def, \u0623\u0648 \\newcommand",UndefinedColorModel:"\u0646\u0645\u0648\u0630\u062C \u0627\u0644\u0644\u0648\u0646 '%1' \u063A\u064A\u0631 \u0645\u0639\u0631\u0641",ModelArg1:"\u0642\u064A\u0645 \u0627\u0644\u0644\u0648\u0646 \u0644\u0644\u0646\u0645\u0648\u0630\u062C %1 \u062A\u062A\u0637\u0644\u0628 3 \u0623\u0631\u0642\u0627\u0645",InvalidDecimalNumber:"\u0639\u062F\u062F \u0639\u0634\u0631\u064A \u063A\u064A\u0631 \u0635\u0627\u0644\u062D",ModelArg2:"\u064A\u062C\u0628 \u0623\u0646 \u062A\u0643\u0648\u0646 \u0642\u064A\u0645 \u0627\u0644\u0644\u0648\u0646 \u0644\u0644\u0646\u0645\u0648\u0630\u062C %1 \u0628\u064A\u0646 %2 \u0648%3",InvalidNumber:"\u0639\u062F\u062F \u063A\u064A\u0631 \u0635\u0627\u0644\u062D",NoClosingChar:"\u0644\u0627 \u064A\u0645\u0643\u0646 \u0627\u0644\u0639\u062B\u0648\u0631 \u0639\u0644\u0649 \u0625\u063A\u0644\u0627\u0642 %1",IllegalParamNumber:"\u0639\u062F\u062F \u063A\u064A\u0631 \u0645\u0634\u0631\u0648\u0639 \u0644\u0644\u0645\u0639\u0627\u064A\u064A\u0631 \u0627\u0644\u0645\u062D\u062F\u062F\u0629 \u0641\u064A %1",CantUseHash2:"\u0627\u0633\u062A\u062E\u062F\u0627\u0645 \u063A\u064A\u0631 \u0627\u0644\u0645\u0634\u0631\u0648\u0639 \u0644# \u0641\u064A \u0642\u0627\u0644\u0628 \u0644%1",SequentialParam:"\u0645\u0639\u0644\u0645\u0627\u062A %1 \u064A\u062C\u0628 \u0623\u0646 \u064A\u062A\u0645 \u062A\u0631\u0642\u064A\u0645\u0647\u0627 \u0628\u0627\u0644\u062A\u0633\u0644\u0633\u0644",MissingReplacementString:"\u0633\u0644\u0633\u0644\u0629 \u0628\u062F\u064A\u0644\u0629 \u0644\u062A\u0639\u0631\u064A\u0641 %1 \u0645\u0641\u0642\u0648\u062F\u0629",MismatchUseDef:"\u0627\u0633\u062A\u062E\u062F\u0627\u0645 %1 \u0644\u0627 \u064A\u062A\u0637\u0627\u0628\u0642 \u0645\u0639 \u062A\u0639\u0631\u064A\u0641\u0647",NoClosingDelim:"\u0644\u0627 \u064A\u0645\u0643\u0646 \u0627\u0644\u0639\u062B\u0648\u0631 \u0639\u0644\u0649 \u0625\u063A\u0644\u0627\u0642 \u0645\u062D\u062F\u062F \u0644%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/TeX.js");
diff --git a/localization/ar/ar.js b/localization/ar/ar.js
index 2339b6bb65..8ef54076de 100644
--- a/localization/ar/ar.js
+++ b/localization/ar/ar.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ar/ar.js
+ *  /MathJax-v2/localization/ar/ar.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ar",null,{menuTitle:"\u0627\u0644\u0639\u0631\u0628\u064A\u0629",fontDirection:"rtl",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"\u062E\u0637\u0623 \u0645\u0639\u0627\u0644\u062C\u0629 \u0631\u064A\u0627\u0636\u064A\u0629",MathError:"\u062E\u0637\u0623 \u0631\u064A\u0627\u0636\u064A",LoadFile:"\u062A\u062D\u0645\u064A\u0644 %1",Loading:"\u062C\u0627\u0631\u064D \u0627\u0644\u062A\u062D\u0645\u064A\u0644",LoadFailed:"\u0641\u0634\u0644 \u062A\u062D\u0645\u064A\u0644 \u0627\u0644\u0645\u0644\u0641: %1",ProcessMath:"\u0639\u0645\u0644\u064A\u0629 \u0631\u064A\u0627\u0636\u064A\u0629: %1%%",Processing:"\u0645\u0639\u0627\u0644\u062C\u0629",TypesetMath:"\u062A\u0646\u0636\u064A\u062F \u0631\u064A\u0627\u0636\u064A: %1%%",Typesetting:"\u062A\u0646\u0636\u064A\u062F",MathJaxNotSupported:"\u0645\u062A\u0635\u0641\u062D\u0643 \u0644\u0627 \u064A\u062F\u0639\u0645 \u0645\u0627\u062B\u062C\u0627\u0643\u0633"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===0){return 1}if(a===1){return 2}if(a===2){return 3}if(3<=a%100&&a%100<=10){return 4}if(11<=a%100&&a%100<=99){return 5}return 6},number:function(a){return String(a).replace("/([0-9])/g","\\U066$1").replace(".","\\U066B")}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/ar.js");
+MathJax.Localization.addTranslation("ar",null,{menuTitle:"\u0627\u0644\u0639\u0631\u0628\u064A\u0629",fontDirection:"rtl",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"\u062E\u0637\u0623 \u0645\u0639\u0627\u0644\u062C\u0629 \u0631\u064A\u0627\u0636\u064A\u0629",MathError:"\u062E\u0637\u0623 \u0631\u064A\u0627\u0636\u064A",LoadFile:"\u062A\u062D\u0645\u064A\u0644 %1",Loading:"\u062C\u0627\u0631\u064D \u0627\u0644\u062A\u062D\u0645\u064A\u0644",LoadFailed:"\u0641\u0634\u0644 \u062A\u062D\u0645\u064A\u0644 \u0627\u0644\u0645\u0644\u0641: %1",ProcessMath:"\u0639\u0645\u0644\u064A\u0629 \u0631\u064A\u0627\u0636\u064A\u0629: %1%%",Processing:"\u0645\u0639\u0627\u0644\u062C\u0629",TypesetMath:"\u062A\u0646\u0636\u064A\u062F \u0631\u064A\u0627\u0636\u064A: %1%%",Typesetting:"\u062A\u0646\u0636\u064A\u062F",MathJaxNotSupported:"\u0645\u062A\u0635\u0641\u062D\u0643 \u0644\u0627 \u064A\u062F\u0639\u0645 \u0645\u0627\u062B\u062C\u0627\u0643\u0633"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===0){return 1}if(a===1){return 2}if(a===2){return 3}if(3<=a%100&&a%100<=10){return 4}if(11<=a%100&&a%100<=99){return 5}return 6},number:function(a){return String(a).replace("/([0-9])/g","\\U066$1").replace(".","\\U066B")}});MathJax.Ajax.loadComplete("[MathJax]/localization/ar/ar.js");
diff --git a/localization/ast/FontWarnings.js b/localization/ast/FontWarnings.js
index 0e26c9741f..053e3a63a2 100644
--- a/localization/ast/FontWarnings.js
+++ b/localization/ast/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ast/FontWarnings.js
+ *  /MathJax-v2/localization/ast/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ast","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax ta usando fontes basaes en web p'amosar les matem\u00E1tiques d'esta p\u00E1xina. Lleva un tiempu descargales, de manera que la p\u00E1xina apaecer\u00E1 m\u00E1s r\u00E1pidamente si instala direutamente les fontes matem\u00E1tiques na carpeta de fontes del so sistema.",imageFonts:"MathJaz ta usando les sos fontes d'imaxe en cuenta de fontes llocales o basaes en web. Esto fai que la composici\u00F3n seya m\u00E1s lenta de lo normal, y les matem\u00E1tiques podr\u00EDen nun imprimise a la resoluci\u00F3n completa de la impresora.",noFonts:"MathJax nun pue alcontrar una tipograf\u00EDa que pueda usar p'amosar les espresiones matem\u00E1tiques, y nun hai disponibles fontes d'imaxe, de mou que va volver a car\u00E1uteres Unicode xen\u00E9ricos esperando que'l so restolador pueda amosalos. Algunos car\u00E1uteres podr\u00EDen nun vese correutamente o, seique, podrien nun vese n'absoluto.",webFonts:"La mayor\u00EDa de restoladores modernos permiten que les fontes se descarguen de la web. Si anueva a una versi\u00F3n m\u00E1s moderna del restolador (o si cambia de restolador) podr\u00EDa ameyorar la calid\u00E1 de les espresiones matem\u00E1tiques d'esta p\u00E1xina.",fonts:"MathJax pue usar tanto la [tipograf\u00EDa STIX](%1) como la [tipograf\u00EDa TeX MathJax](%2). Descargue y instale una d'estes tipograf\u00EDes p'ameyorar la so esperiencia con MathJax.",STIXPage:"Esta p\u00E0xina ta dise\u00F1ada pa usar la [tipograf\u00EDa STIX](%1). Descargue ya instale esta tipograf\u00EDa p'ameyorar la so esperiencia con MathJax.",TeXPage:"Esta p\u00E0xina ta dise\u00F1ada pa usar la [tipograf\u00EDa TeX MathJax](%1). Descargue ya instale esta tipograf\u00EDa p'ameyorar la so esperiencia con MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/FontWarnings.js");
+MathJax.Localization.addTranslation("ast","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax ta usando fontes basaes en web p'amosar les matem\u00E1tiques d'esta p\u00E1xina. Lleva un tiempu descargales, de manera que la p\u00E1xina apaecer\u00E1 m\u00E1s r\u00E1pidamente si instala direutamente les fontes matem\u00E1tiques na carpeta de fontes del so sistema.",imageFonts:"MathJaz ta usando les sos fontes d'imaxe en cuenta de fontes llocales o basaes en web. Esto fai que la composici\u00F3n seya m\u00E1s lenta de lo normal, y les matem\u00E1tiques podr\u00EDen nun imprimise a la resoluci\u00F3n completa de la impresora.",noFonts:"MathJax nun pue alcontrar una tipograf\u00EDa que pueda usar p'amosar les espresiones matem\u00E1tiques, y nun hai disponibles fontes d'imaxe, de mou que va volver a car\u00E1uteres Unicode xen\u00E9ricos esperando que'l so restolador pueda amosalos. Algunos car\u00E1uteres podr\u00EDen nun vese correutamente o, seique, podrien nun vese n'absoluto.",webFonts:"La mayor\u00EDa de restoladores modernos permiten que les fontes se descarguen de la web. Si anueva a una versi\u00F3n m\u00E1s moderna del restolador (o si cambia de restolador) podr\u00EDa ameyorar la calid\u00E1 de les espresiones matem\u00E1tiques d'esta p\u00E1xina.",fonts:"MathJax pue usar tanto la [tipograf\u00EDa STIX](%1) como la [tipograf\u00EDa TeX MathJax](%2). Descargue y instale una d'estes tipograf\u00EDes p'ameyorar la so esperiencia con MathJax.",STIXPage:"Esta p\u00E0xina ta dise\u00F1ada pa usar la [tipograf\u00EDa STIX](%1). Descargue ya instale esta tipograf\u00EDa p'ameyorar la so esperiencia con MathJax.",TeXPage:"Esta p\u00E0xina ta dise\u00F1ada pa usar la [tipograf\u00EDa TeX MathJax](%1). Descargue ya instale esta tipograf\u00EDa p'ameyorar la so esperiencia con MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/FontWarnings.js");
diff --git a/localization/ast/HTML-CSS.js b/localization/ast/HTML-CSS.js
index 808bd39f39..3e8f6a90fb 100644
--- a/localization/ast/HTML-CSS.js
+++ b/localization/ast/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ast/HTML-CSS.js
+ *  /MathJax-v2/localization/ast/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ast","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Cargando la tipograf\u00EDa web %1",CantLoadWebFont:"Non pue cargase la tipograf\u00EDa web %1",FirefoxCantLoadWebFont:"Firefox nun pue cargar les tipograf\u00EDes web dende un sirvidor remotu",CantFindFontUsing:"Nun se pue atopar una tipograf\u00EDa v\u00E1lida usando %1",WebFontsNotAvailable:"Les tipograf\u00EDes web nun tan disponibles. Usando les tipograf\u00EDes d'imaxe nel so llugar"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/HTML-CSS.js");
+MathJax.Localization.addTranslation("ast","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Cargando la tipograf\u00EDa web %1",CantLoadWebFont:"Non pue cargase la tipograf\u00EDa web %1",FirefoxCantLoadWebFont:"Firefox nun pue cargar les tipograf\u00EDes web dende un sirvidor remotu",CantFindFontUsing:"Nun se pue atopar una tipograf\u00EDa v\u00E1lida usando %1",WebFontsNotAvailable:"Les tipograf\u00EDes web nun tan disponibles. Usando les tipograf\u00EDes d'imaxe nel so llugar"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/HTML-CSS.js");
diff --git a/localization/ast/HelpDialog.js b/localization/ast/HelpDialog.js
index a3c71ad057..c1258e382b 100644
--- a/localization/ast/HelpDialog.js
+++ b/localization/ast/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ast/HelpDialog.js
+ *  /MathJax-v2/localization/ast/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ast","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Ayuda de MathJax",MathJax:"*MathJax* ye una biblioteca JavaScript que permite a los autores de p\u00E1xines incluir espresiones matem\u00E1tiques nes sos p\u00E1xines web. Como llector, nun necesita facer nada pa qu'esto asoceda.",Browsers:"*Navegadores*: MathJax funciona con tolos navegadores modernos, incluyendo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ y la mayor\u00EDa de los navegadores pa m\u00F3viles.",Menu:"*Men\u00FA matem\u00E1tiques*: MathJax amiesta un men\u00FA de contestu a les ecuaciones. Faiga clic col bot\u00F3n drechu, o Ctrl-clic, en cualquier espresi\u00F3n matem\u00E1tica pa ver el men\u00FA.",ShowMath:"*Ver f\u00F3rmula como* permite ver el c\u00F3digu de marques de la f\u00F3rmula pa que pueda copiase y apegase (como MathML o nel so formatu orixinal).",Settings:"*Configuraci\u00F3n* permite controlar diverses carauter\u00EDstiques de MathJax, como'l tama\u00F1u de les f\u00F3rmules, ya'l mecanismu que s'usa pa ver les ecuaciones.",Language:"*Llingua* permite seleicionar la llingua qu'usa MathJax pa los men\u00FAs y mensaxes d'avisu.",Zoom:"*Zoom de f\u00F3rmula*: Si tien dificultaes pa lleer una ecuaci\u00F3n, MathJax pue ampliala p'ayuda-y a que la vea meyor.",Accessibilty:"*Accesibilid\u00E1*: MathJax funciona autom\u00E1ticamente con llectores de pantalla pa facer les espresiones matem\u00E1tiques accesibles a les persones con problemes de visi\u00F3n.",Fonts:"*Tipograf\u00EDa*: MathJax usa ciertes fontes matem\u00E1tiques si tan instalaes nel ordenador; d'otra manera, usar\u00E1 fontes basaes na web. Anque nun ye necesario, si tien les fontes instalaes de mou llocal ayudar\u00E1 a componer la p\u00E1xina m\u00E1s r\u00E1pidamente. Suxerimos qu'instale les [fontes STIX](%1).",CloseDialog:"Zarrar el di\u00E1logu d'ayuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/HelpDialog.js");
+MathJax.Localization.addTranslation("ast","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Ayuda de MathJax",MathJax:"*MathJax* ye una biblioteca JavaScript que permite a los autores de p\u00E1xines incluir espresiones matem\u00E1tiques nes sos p\u00E1xines web. Como llector, nun necesita facer nada pa qu'esto asoceda.",Browsers:"*Navegadores*: MathJax funciona con tolos navegadores modernos, incluyendo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ y la mayor\u00EDa de los navegadores pa m\u00F3viles.",Menu:"*Men\u00FA matem\u00E1tiques*: MathJax amiesta un men\u00FA de contestu a les ecuaciones. Faiga clic col bot\u00F3n drechu, o Ctrl-clic, en cualquier espresi\u00F3n matem\u00E1tica pa ver el men\u00FA.",ShowMath:"*Ver f\u00F3rmula como* permite ver el c\u00F3digu de marques de la f\u00F3rmula pa que pueda copiase y apegase (como MathML o nel so formatu orixinal).",Settings:"*Configuraci\u00F3n* permite controlar diverses carauter\u00EDstiques de MathJax, como'l tama\u00F1u de les f\u00F3rmules, ya'l mecanismu que s'usa pa ver les ecuaciones.",Language:"*Llingua* permite seleicionar la llingua qu'usa MathJax pa los men\u00FAs y mensaxes d'avisu.",Zoom:"*Zoom de f\u00F3rmula*: Si tien dificultaes pa lleer una ecuaci\u00F3n, MathJax pue ampliala p'ayuda-y a que la vea meyor.",Accessibilty:"*Accesibilid\u00E1*: MathJax funciona autom\u00E1ticamente con llectores de pantalla pa facer les espresiones matem\u00E1tiques accesibles a les persones con problemes de visi\u00F3n.",Fonts:"*Tipograf\u00EDa*: MathJax usa ciertes fontes matem\u00E1tiques si tan instalaes nel ordenador; d'otra manera, usar\u00E1 fontes basaes na web. Anque nun ye necesario, si tien les fontes instalaes de mou llocal ayudar\u00E1 a componer la p\u00E1xina m\u00E1s r\u00E1pidamente. Suxerimos qu'instale les [fontes STIX](%1).",CloseDialog:"Zarrar el di\u00E1logu d'ayuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/HelpDialog.js");
diff --git a/localization/ast/MathML.js b/localization/ast/MathML.js
index f9fe53c781..2a4eb07e69 100644
--- a/localization/ast/MathML.js
+++ b/localization/ast/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ast/MathML.js
+ *  /MathJax-v2/localization/ast/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ast","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Mglyph incorreutu: %1",BadMglyphFont:"Tipograf\u00EDa incorreuta: %1",MathPlayer:"MathJax nun pudo configurar MathPlayer.\n\nSi MathPlayer nun ta instal\u00E1u, necesitar\u00E1 instalalu primero. D'otra manera, la so configuraci\u00F3n de segurid\u00E1 pue torgar la execuci\u00F3n de controles ActiveX. Use l'elementu Opciones d'Internet baxo'l men\u00FA Ferramientes y seleicione la lling\u00FCeta Segurid\u00E1, darr\u00E9u calque nel bot\u00F3n Nivel Personaliz\u00E1u. Compruebe que les preferencies pa 'Executar controles ActiveX' y 'Comportamientos de binariu y script' tan activaes.\n\nAngua\u00F1o ver\u00E1 mensaxes d'error en llugar de f\u00F3rmules matem\u00E1tiques.",CantCreateXMLParser:"MathJax nun pue crear un analizador XML pa MathML. Compruebe que\nla configuraci\u00F3n de segurid\u00E1 \u00ABControles de script ActiveX marcaos como seguros pa scripting\u00BB\nta activada (use l'elementu Opciones d'Internet del men\u00FA Ferramientes,\ny seleicione'l panel Segurid\u00E1, y darr\u00E9u calque nel bot\u00F3n Nivel personaliz\u00E1u pa comprobalo).\n\nMathJax nun podr\u00E1 procesar les ecuaciones MathML",UnknownNodeType:"Tipu de nuedu desconoc\u00EDu: %1",UnexpectedTextNode:"Nuedu de testu inesper\u00E1u: %1",ErrorParsingMathML:"Error al analizar MathML",ParsingError:"Error al analizar MathML: %1",MathMLSingleElement:"MathML tien de tar form\u00E1u por un \u00FAnicu elementu",MathMLRootElement:"MathML tien de tar form\u00E1u por un elementu \u003Cmath\u003E, non por %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/MathML.js");
+MathJax.Localization.addTranslation("ast","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"Mglyph incorreutu: %1",BadMglyphFont:"Tipograf\u00EDa incorreuta: %1",MathPlayer:"MathJax nun pudo configurar MathPlayer.\n\nSi MathPlayer nun ta instal\u00E1u, necesitar\u00E1 instalalu primero. D'otra manera, la so configuraci\u00F3n de segurid\u00E1 pue torgar la execuci\u00F3n de controles ActiveX. Use l'elementu Opciones d'Internet baxo'l men\u00FA Ferramientes y seleicione la lling\u00FCeta Segurid\u00E1, darr\u00E9u calque nel bot\u00F3n Nivel Personaliz\u00E1u. Compruebe que les preferencies pa 'Executar controles ActiveX' y 'Comportamientos de binariu y script' tan activaes.\n\nAngua\u00F1o ver\u00E1 mensaxes d'error en llugar de f\u00F3rmules matem\u00E1tiques.",CantCreateXMLParser:"MathJax nun pue crear un analizador XML pa MathML. Compruebe que\nla configuraci\u00F3n de segurid\u00E1 \u00ABControles de script ActiveX marcaos como seguros pa scripting\u00BB\nta activada (use l'elementu Opciones d'Internet del men\u00FA Ferramientes,\ny seleicione'l panel Segurid\u00E1, y darr\u00E9u calque nel bot\u00F3n Nivel personaliz\u00E1u pa comprobalo).\n\nMathJax nun podr\u00E1 procesar les ecuaciones MathML",UnknownNodeType:"Tipu de nuedu desconoc\u00EDu: %1",UnexpectedTextNode:"Nuedu de testu inesper\u00E1u: %1",ErrorParsingMathML:"Error al analizar MathML",ParsingError:"Error al analizar MathML: %1",MathMLSingleElement:"MathML tien de tar form\u00E1u por un \u00FAnicu elementu",MathMLRootElement:"MathML tien de tar form\u00E1u por un elementu \u003Cmath\u003E, non por %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/MathML.js");
diff --git a/localization/ast/MathMenu.js b/localization/ast/MathMenu.js
index 9977ba3208..ba4b3587e6 100644
--- a/localization/ast/MathMenu.js
+++ b/localization/ast/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ast/MathMenu.js
+ *  /MathJax-v2/localization/ast/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ast","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Ver les f\u00F3rmules como",MathMLcode:"C\u00F3digu MathML",OriginalMathML:"MathML orixinal",TeXCommands:"Comandos de TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Forma orixinal",ErrorMessage:"Mensaxe d'error",Annotation:"Anotaci\u00F3n",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Conten\u00EDu MathML",OpenMath:"OpenMath",texHints:"Amosar gabitos TeX en MathML",Settings:"Configuraci\u00F3n de matem\u00E1tiques",ZoomTrigger:"Disparador del zoom",Hover:"Al pasar el mur",Click:"Al facer clic",DoubleClick:"Con doble clic",NoZoom:"Ensin zoom",TriggerRequires:"El disparador requier:",Option:"Opci\u00F3n",Alt:"Alt",Command:"Comandu",Control:"Control",Shift:"May\u00FAs",ZoomFactor:"Factor d'ampliaci\u00F3n",Renderer:"Renderizador de matem\u00E1tiques",MPHandles:"Permitir que MathPlayer alministre:",MenuEvents:"Socesos de men\u00FA",MouseEvents:"Socesos del mur",MenuAndMouse:"Socesos del mur y del men\u00FA",FontPrefs:"Preferencies de tipograf\u00EDa",ForHTMLCSS:"Pa HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (llocal)",TeXWeb:"TeX (web)",TeXImage:"TeX (imaxe)",STIXLocal:"STIX (llocal)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Llat\u00EDn modernu (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contestual",Browser:"Navegador",Scale:"Escalar toles f\u00F3rmules...",Discoverable:"Illuminar al pasar el mur",Locale:"Llingua",LoadLocale:"Cargar d'una URL...",About:"Tocante a MathJax",Help:"Ayuda de MathJax",localTeXfonts:"usando tipograf\u00EDa TeX llocal",webTeXfonts:"usando tipograf\u00EDa TeX de la web",imagefonts:"usando tipograf\u00EDa d'imaxe",localSTIXfonts:"usando tipograf\u00EDa STIX llocal",webSVGfonts:"usando tipograf\u00EDa SVG de la web",genericfonts:"usando tipograf\u00EDa Unicode xen\u00E9rica",wofforotffonts:"tipograf\u00EDa WOFF u OTF",eotffonts:"tipograf\u00EDa EOT",svgfonts:"tipograf\u00EDa SVG",WebkitNativeMMLWarning:"Paez que'l so restolador nun tien sofitu pa MathML de mou nativu, de mou que cambiar la salida a MathML pue facer que les f\u00F3rmules de la p\u00E1xina nun puedan lleese",MSIENativeMMLWarning:"Internet Explorer requier el complementu MathPlayer pa procesar la salida de MathML",OperaNativeMMLWarning:"El sofitu d'Opera pa MathML ye parcial, de mou que cambiar la salida a MathML pue facer que delles espresiones nun se vean bien.",SafariNativeMMLWarning:"El MathML nativu del so navegador nun cuenta con toles carauter\u00EDstiques qu'usa MathJax, de mou que delles espresiones podr\u00EDen nun representase correutamente.",FirefoxNativeMMLWarning:"El MathML nativu del so navegador nun cuenta con toles carauter\u00EDstiques qu'usa MathJax, de mou que delles espresiones podr\u00EDen nun representase correutamente.",MSIESVGWarning:"SVG nun ta implement\u00E1u n'Internet Explorer anterior a IE9 o cuando ta emulando IE8 o anterior. Si cambia a la salida SVG, les f\u00F3rmules nun se ver\u00E1n correutamente.",LoadURL:"Cargar los datos de traducci\u00F3n d'esta URL:",BadURL:"La URL tendr\u00EDa de ser pa un ficheru JavaScript que define los datos de traducci\u00F3n de MathJax. Los nomes de los ficheros JavaScript tendr\u00EDen d'acabar en '.js'",BadData:"Nun pudieron cargase los datos de traducci\u00F3n de %1",SwitchAnyway:"\u00BFCambiar la representaci\u00F3n de toles maneres?\n\n(Calque Aceutar pa cambiar, Encaboxar pa siguir cola representaci\u00F3n actual)",ScaleMath:"Ampliar toles f\u00F3rmules (en comparancia col testu d'alredor) nun",NonZeroScale:"La escala nun tien de ser cero",PercentScale:"La escala tien de ser un porcentaxe (por exemplu 120%%)",IE8warning:"Esto desactivar\u00E1 les funciones de men\u00FA y zoom de MathJax, pero pue facer Alt-Clic nuna espresi\u00F3n pa ver el men\u00FA de MathJax.\n\n\u00BFRealmente quier cambiar la configuraci\u00F3n de MathPlayer?",IE9warning:"El men\u00FA contestual de MathJax tar\u00E1 desactiv\u00E1u, pero pue facer Alt-Clic nuna espresi\u00F3n pa ver el men\u00FA MathJax.",NoOriginalForm:"Nun ta disponible denguna forma orixinal",Close:"Zarrar",EqSource:"C\u00F3digu fonte d'ecuaci\u00F3n MathJax",CloseAboutDialog:"Zarrar el di\u00E1logu de tocante a MathJax",FastPreview:"Vista previa r\u00E1pida",AssistiveMML:"Asistencia MathML",InTabOrder:"Incluir nel orde de lling\u00FCetes"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/MathMenu.js");
+MathJax.Localization.addTranslation("ast","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Ver les f\u00F3rmules como",MathMLcode:"C\u00F3digu MathML",OriginalMathML:"MathML orixinal",TeXCommands:"Comandos de TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Forma orixinal",ErrorMessage:"Mensaxe d'error",Annotation:"Anotaci\u00F3n",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Conten\u00EDu MathML",OpenMath:"OpenMath",texHints:"Amosar gabitos TeX en MathML",Settings:"Configuraci\u00F3n de matem\u00E1tiques",ZoomTrigger:"Disparador del zoom",Hover:"Al pasar el mur",Click:"Al facer clic",DoubleClick:"Con doble clic",NoZoom:"Ensin zoom",TriggerRequires:"El disparador requier:",Option:"Opci\u00F3n",Alt:"Alt",Command:"Comandu",Control:"Control",Shift:"May\u00FAs",ZoomFactor:"Factor d'ampliaci\u00F3n",Renderer:"Renderizador de matem\u00E1tiques",MPHandles:"Permitir que MathPlayer alministre:",MenuEvents:"Socesos de men\u00FA",MouseEvents:"Socesos del mur",MenuAndMouse:"Socesos del mur y del men\u00FA",FontPrefs:"Preferencies de tipograf\u00EDa",ForHTMLCSS:"Pa HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (llocal)",TeXWeb:"TeX (web)",TeXImage:"TeX (imaxe)",STIXLocal:"STIX (llocal)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Llat\u00EDn modernu (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contestual",Browser:"Navegador",Scale:"Escalar toles f\u00F3rmules...",Discoverable:"Illuminar al pasar el mur",Locale:"Llingua",LoadLocale:"Cargar d'una URL...",About:"Tocante a MathJax",Help:"Ayuda de MathJax",localTeXfonts:"usando tipograf\u00EDa TeX llocal",webTeXfonts:"usando tipograf\u00EDa TeX de la web",imagefonts:"usando tipograf\u00EDa d'imaxe",localSTIXfonts:"usando tipograf\u00EDa STIX llocal",webSVGfonts:"usando tipograf\u00EDa SVG de la web",genericfonts:"usando tipograf\u00EDa Unicode xen\u00E9rica",wofforotffonts:"tipograf\u00EDa WOFF u OTF",eotffonts:"tipograf\u00EDa EOT",svgfonts:"tipograf\u00EDa SVG",WebkitNativeMMLWarning:"Paez que'l so restolador nun tien sofitu pa MathML de mou nativu, de mou que cambiar la salida a MathML pue facer que les f\u00F3rmules de la p\u00E1xina nun puedan lleese",MSIENativeMMLWarning:"Internet Explorer requier el complementu MathPlayer pa procesar la salida de MathML",OperaNativeMMLWarning:"El sofitu d'Opera pa MathML ye parcial, de mou que cambiar la salida a MathML pue facer que delles espresiones nun se vean bien.",SafariNativeMMLWarning:"El MathML nativu del so navegador nun cuenta con toles carauter\u00EDstiques qu'usa MathJax, de mou que delles espresiones podr\u00EDen nun representase correutamente.",FirefoxNativeMMLWarning:"El MathML nativu del so navegador nun cuenta con toles carauter\u00EDstiques qu'usa MathJax, de mou que delles espresiones podr\u00EDen nun representase correutamente.",MSIESVGWarning:"SVG nun ta implement\u00E1u n'Internet Explorer anterior a IE9 o cuando ta emulando IE8 o anterior. Si cambia a la salida SVG, les f\u00F3rmules nun se ver\u00E1n correutamente.",LoadURL:"Cargar los datos de traducci\u00F3n d'esta URL:",BadURL:"La URL tendr\u00EDa de ser pa un ficheru JavaScript que define los datos de traducci\u00F3n de MathJax. Los nomes de los ficheros JavaScript tendr\u00EDen d'acabar en '.js'",BadData:"Nun pudieron cargase los datos de traducci\u00F3n de %1",SwitchAnyway:"\u00BFCambiar la representaci\u00F3n de toles maneres?\n\n(Calque Aceutar pa cambiar, Encaboxar pa siguir cola representaci\u00F3n actual)",ScaleMath:"Ampliar toles f\u00F3rmules (en comparancia col testu d'alredor) nun",NonZeroScale:"La escala nun tien de ser cero",PercentScale:"La escala tien de ser un porcentaxe (por exemplu 120%%)",IE8warning:"Esto desactivar\u00E1 les funciones de men\u00FA y zoom de MathJax, pero pue facer Alt-Clic nuna espresi\u00F3n pa ver el men\u00FA de MathJax.\n\n\u00BFRealmente quier cambiar la configuraci\u00F3n de MathPlayer?",IE9warning:"El men\u00FA contestual de MathJax tar\u00E1 desactiv\u00E1u, pero pue facer Alt-Clic nuna espresi\u00F3n pa ver el men\u00FA MathJax.",NoOriginalForm:"Nun ta disponible denguna forma orixinal",Close:"Zarrar",EqSource:"C\u00F3digu fonte d'ecuaci\u00F3n MathJax",CloseAboutDialog:"Zarrar el di\u00E1logu de tocante a MathJax",FastPreview:"Vista previa r\u00E1pida",AssistiveMML:"Asistencia MathML",InTabOrder:"Incluir nel orde de lling\u00FCetes"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/MathMenu.js");
diff --git a/localization/ast/TeX.js b/localization/ast/TeX.js
index 6d448d2aec..f133679388 100644
--- a/localization/ast/TeX.js
+++ b/localization/ast/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ast/TeX.js
+ *  /MathJax-v2/localization/ast/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ast","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Hai una llave d'apertura de m\u00E1s o falta una llave de zarramientu",ExtraCloseMissingOpen:"Hai una llave de zarramientu de m\u00E1s o falta una llave d'apertura",MissingLeftExtraRight:"Falta un \\left o sobra un \\right",MissingScript:"Falta un argumentu de super\u00EDndiz o sub\u00EDndiz",ExtraLeftMissingRight:"Sobra un \\left o falta un \\right",Misplaced:"%1 ta mal coloc\u00E1u",MissingOpenForSub:"Falta una llave d'apertura pal sub\u00EDndiz",MissingOpenForSup:"Falta una llave d'apertura pal super\u00EDndiz",AmbiguousUseOf:"Usu ambiguu de %1",EnvBadEnd:"\\begin{%1} acab\u00E1u con \\end{%2}",EnvMissingEnd:"Falta \\end{%1}",MissingBoxFor:"Falta un cuadru pa %1",MissingCloseBrace:"Falta la llave de zarramientu",UndefinedControlSequence:"Secuencia de control indefinida %1",DoubleExponent:"Doble esponente: use llaves p'aclarar",DoubleSubscripts:"Doble sub\u00EDndiz: usu llaves p'aclarar",DoubleExponentPrime:"La prima causa un doble esponente: use llaves p'aclarar",CantUseHash1:"Nun pue usar el \u00ABcar\u00E1uter # de par\u00E1metru de macro\u00BB en mou matem\u00E1ticu",MisplacedMiddle:"%1 tien de tar ente \\left y \\right",MisplacedLimits:"%1 s\u00F3lo ta permit\u00EDu pa operadores",MisplacedMoveRoot:"%1 s\u00F3lo pue apaecer dientro d'una ra\u00EDz",MultipleCommand:"M\u00FAltiples %1",IntegerArg:"L'argumentu de %1 tien de ser un enteru",NotMathMLToken:"%1 nun ye un elementu de \u00ABtoken\u00BB",InvalidMathMLAttr:"Atributu de MathML inv\u00E1lidu: %1",UnknownAttrForElement:"%1 nun ye un atributu reconoc\u00EDu pa %2",MaxMacroSub1:"Se sobrepas\u00F3'l n\u00FAmberu m\u00E1ximu de sustituciones de macro de MathJax; \u00BFhai ha una llamada de macro recursiva?",MaxMacroSub2:"Pas\u00F3se'l n\u00FAmberu m\u00E1ximu de sustituciones de MathJax; \u00BFhai un entornu de LaTeX recursivu?",MissingArgFor:"Falta l'argumentu pa %1",ExtraAlignTab:"Tabulador d'alliniamientu estra en testu \\cases",BracketMustBeDimension:"L'argumentu de corchete pa %1 tien de ser una dimensi\u00F3n",InvalidEnv:"Nome d'entornu \u00AB%1\u00BB inv\u00E1lidu",UnknownEnv:"Entornu desconoc\u00EDu \u00AB%1\u00BB",ExtraCloseLooking:"Llave de zarramientu estra cuando se buscaba %1",MissingCloseBracket:"Nun pudo alcontrase'l \u00AB]\u00BB de zarramientu pal argumentu de %1",MissingOrUnrecognizedDelim:"El delimitador pa %1 falta o nun ta reconoc\u00EDu",MissingDimOrUnits:"Falta la dimensi\u00F3n o les unidaes pa %1",TokenNotFoundForCommand:"Nun pudo alcontrase %1 pa %2",MathNotTerminated:"Espresi\u00F3n matem\u00E1tica inacabada nel cuadru de testu",IllegalMacroParam:"Referencia illegal a par\u00E1metru de macro",MaxBufferSize:"Se sobrepas\u00F3 el tama\u00F1u del almacenamientu intermediu internu de MathJax; \u00BFhai ha una llamada a una macro recursiva?",CommandNotAllowedInEnv:"%1 nun se permite nel entornu %2",MultipleLabel:"La etiqueta '%1' tien definiciones m\u00FAltiples",CommandAtTheBeginingOfLine:"%1 tien d'apaecer al principiu de la llinia",IllegalAlign:"Alliniaci\u00F3n illegal especificada en %1",BadMathStyleFor:"Estilu de matem\u00E1tiques incorreutu pa %1",PositiveIntegerArg:"L'argumentu de %1 tien de ser un enteru positivu",ErroneousNestingEq:"A\u00F1eramientu incorreutu d'estructures d'ecuaci\u00F3n",MultlineRowsOneCol:"Les fileres dientro del entornu %1 han de tener exactamente una columna",MultipleBBoxProperty:"Propied\u00E1 %1 especificada dos veces en %2",InvalidBBoxProperty:"'%1' nun paez un color, una distancia de separaci\u00F3n o un estilu",ExtraEndMissingBegin:"Sobra un %1 o falta un \\begingroup",GlobalNotFollowedBy:"%1 nun ta sigu\u00EDu por \\let, \\def o \\newcommand",UndefinedColorModel:"El modelu de color '%1' nun ta defin\u00EDu",ModelArg1:"Los valores de color pal modelu %1 requieren 3 n\u00FAmberos",InvalidDecimalNumber:"N\u00FAmberu decimal inv\u00E1lidu",ModelArg2:"Los valores de color pal modelu %1 tienen de tar ente %2 y %3",InvalidNumber:"N\u00FAmberu inv\u00E1lidu",NewextarrowArg1:"El primer argumentu pa %1 tien de ser un nome de secuencia de control",NewextarrowArg2:"El segundu argumentu pa %1 tienen de ser dos enteros separaos por una coma",NewextarrowArg3:"El tercer argumentu pa %1 tien de ser un n\u00FAmberu de car\u00E1uter Unicode",NoClosingChar:"Nun pue alcontrase'l %1 de zarru",IllegalControlSequenceName:"Nome incorreutu de secuencia de control pa %1",IllegalParamNumber:"N\u00FAmberu par\u00E1metros illegal especific\u00E1u en %1",MissingCS:"%1 tien de tar sigu\u00EDu por una secuencia de control",CantUseHash2:"Usu illegal de # nuna plant\u00EDa pa %1",SequentialParam:"Los par\u00E1metros pa %1 tienen de numberase de mou secuencial",MissingReplacementString:"Falta la cadena de sustituci\u00F3n pa la definici\u00F3n de %1",MismatchUseDef:"L'usu de %1 nun casa cola so definici\u00F3n",RunawayArgument:"\u00BFArgumentu descontrol\u00E1u pa %1?",NoClosingDelim:"Nun s'alcontr\u00F3 el delimitador de zarru pa %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/TeX.js");
+MathJax.Localization.addTranslation("ast","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Hai una llave d'apertura de m\u00E1s o falta una llave de zarramientu",ExtraCloseMissingOpen:"Hai una llave de zarramientu de m\u00E1s o falta una llave d'apertura",MissingLeftExtraRight:"Falta un \\left o sobra un \\right",MissingScript:"Falta un argumentu de super\u00EDndiz o sub\u00EDndiz",ExtraLeftMissingRight:"Sobra un \\left o falta un \\right",Misplaced:"%1 ta mal coloc\u00E1u",MissingOpenForSub:"Falta una llave d'apertura pal sub\u00EDndiz",MissingOpenForSup:"Falta una llave d'apertura pal super\u00EDndiz",AmbiguousUseOf:"Usu ambiguu de %1",EnvBadEnd:"\\begin{%1} acab\u00E1u con \\end{%2}",EnvMissingEnd:"Falta \\end{%1}",MissingBoxFor:"Falta un cuadru pa %1",MissingCloseBrace:"Falta la llave de zarramientu",UndefinedControlSequence:"Secuencia de control indefinida %1",DoubleExponent:"Doble esponente: use llaves p'aclarar",DoubleSubscripts:"Doble sub\u00EDndiz: usu llaves p'aclarar",DoubleExponentPrime:"La prima causa un doble esponente: use llaves p'aclarar",CantUseHash1:"Nun pue usar el \u00ABcar\u00E1uter # de par\u00E1metru de macro\u00BB en mou matem\u00E1ticu",MisplacedMiddle:"%1 tien de tar ente \\left y \\right",MisplacedLimits:"%1 s\u00F3lo ta permit\u00EDu pa operadores",MisplacedMoveRoot:"%1 s\u00F3lo pue apaecer dientro d'una ra\u00EDz",MultipleCommand:"M\u00FAltiples %1",IntegerArg:"L'argumentu de %1 tien de ser un enteru",NotMathMLToken:"%1 nun ye un elementu de \u00ABtoken\u00BB",InvalidMathMLAttr:"Atributu de MathML inv\u00E1lidu: %1",UnknownAttrForElement:"%1 nun ye un atributu reconoc\u00EDu pa %2",MaxMacroSub1:"Se sobrepas\u00F3'l n\u00FAmberu m\u00E1ximu de sustituciones de macro de MathJax; \u00BFhai ha una llamada de macro recursiva?",MaxMacroSub2:"Pas\u00F3se'l n\u00FAmberu m\u00E1ximu de sustituciones de MathJax; \u00BFhai un entornu de LaTeX recursivu?",MissingArgFor:"Falta l'argumentu pa %1",ExtraAlignTab:"Tabulador d'alliniamientu estra en testu \\cases",BracketMustBeDimension:"L'argumentu de corchete pa %1 tien de ser una dimensi\u00F3n",InvalidEnv:"Nome d'entornu \u00AB%1\u00BB inv\u00E1lidu",UnknownEnv:"Entornu desconoc\u00EDu \u00AB%1\u00BB",ExtraCloseLooking:"Llave de zarramientu estra cuando se buscaba %1",MissingCloseBracket:"Nun pudo alcontrase'l \u00AB]\u00BB de zarramientu pal argumentu de %1",MissingOrUnrecognizedDelim:"El delimitador pa %1 falta o nun ta reconoc\u00EDu",MissingDimOrUnits:"Falta la dimensi\u00F3n o les unidaes pa %1",TokenNotFoundForCommand:"Nun pudo alcontrase %1 pa %2",MathNotTerminated:"Espresi\u00F3n matem\u00E1tica inacabada nel cuadru de testu",IllegalMacroParam:"Referencia illegal a par\u00E1metru de macro",MaxBufferSize:"Se sobrepas\u00F3 el tama\u00F1u del almacenamientu intermediu internu de MathJax; \u00BFhai ha una llamada a una macro recursiva?",CommandNotAllowedInEnv:"%1 nun se permite nel entornu %2",MultipleLabel:"La etiqueta '%1' tien definiciones m\u00FAltiples",CommandAtTheBeginingOfLine:"%1 tien d'apaecer al principiu de la llinia",IllegalAlign:"Alliniaci\u00F3n illegal especificada en %1",BadMathStyleFor:"Estilu de matem\u00E1tiques incorreutu pa %1",PositiveIntegerArg:"L'argumentu de %1 tien de ser un enteru positivu",ErroneousNestingEq:"A\u00F1eramientu incorreutu d'estructures d'ecuaci\u00F3n",MultlineRowsOneCol:"Les fileres dientro del entornu %1 han de tener exactamente una columna",MultipleBBoxProperty:"Propied\u00E1 %1 especificada dos veces en %2",InvalidBBoxProperty:"'%1' nun paez un color, una distancia de separaci\u00F3n o un estilu",ExtraEndMissingBegin:"Sobra un %1 o falta un \\begingroup",GlobalNotFollowedBy:"%1 nun ta sigu\u00EDu por \\let, \\def o \\newcommand",UndefinedColorModel:"El modelu de color '%1' nun ta defin\u00EDu",ModelArg1:"Los valores de color pal modelu %1 requieren 3 n\u00FAmberos",InvalidDecimalNumber:"N\u00FAmberu decimal inv\u00E1lidu",ModelArg2:"Los valores de color pal modelu %1 tienen de tar ente %2 y %3",InvalidNumber:"N\u00FAmberu inv\u00E1lidu",NewextarrowArg1:"El primer argumentu pa %1 tien de ser un nome de secuencia de control",NewextarrowArg2:"El segundu argumentu pa %1 tienen de ser dos enteros separaos por una coma",NewextarrowArg3:"El tercer argumentu pa %1 tien de ser un n\u00FAmberu de car\u00E1uter Unicode",NoClosingChar:"Nun pue alcontrase'l %1 de zarru",IllegalControlSequenceName:"Nome incorreutu de secuencia de control pa %1",IllegalParamNumber:"N\u00FAmberu par\u00E1metros illegal especific\u00E1u en %1",MissingCS:"%1 tien de tar sigu\u00EDu por una secuencia de control",CantUseHash2:"Usu illegal de # nuna plant\u00EDa pa %1",SequentialParam:"Los par\u00E1metros pa %1 tienen de numberase de mou secuencial",MissingReplacementString:"Falta la cadena de sustituci\u00F3n pa la definici\u00F3n de %1",MismatchUseDef:"L'usu de %1 nun casa cola so definici\u00F3n",RunawayArgument:"\u00BFArgumentu descontrol\u00E1u pa %1?",NoClosingDelim:"Nun s'alcontr\u00F3 el delimitador de zarru pa %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/TeX.js");
diff --git a/localization/ast/ast.js b/localization/ast/ast.js
index 33b25dc13a..e5a6800a67 100644
--- a/localization/ast/ast.js
+++ b/localization/ast/ast.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ast/ast.js
+ *  /MathJax-v2/localization/ast/ast.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ast",null,{menuTitle:"asturianu",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax alcontr\u00F3 una cookie de configuraci\u00F3n d'usuariu qu'incluye c\u00F3digu a executar. \u00BFQuier executar esi c\u00F3digu?\n\n(Tendr\u00EDa de calcar \u00ABEncaboxar\u00BB a menos que creara la cookie vust\u00E9 mesmu.)",MathProcessingError:"Error de procesamientu matem\u00E1ticu",MathError:"Error matem\u00E1ticu",LoadFile:"Cargando %1",Loading:"Cargando",LoadFailed:"Fall\u00F3 la carga del ficheru: %1",ProcessMath:"Procesando matem\u00E1tiques: %1%%",Processing:"Procesando",TypesetMath:"Escribiendo matem\u00E1tiques: %1%%",Typesetting:"Componiendo",MathJaxNotSupported:"El so navegador nun tien sofitu pa MathJax",ErrorTips:"Conseyos de depuraci\u00F3n: usa %%1, inspect %%2 na consola del restolador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/ast.js");
+MathJax.Localization.addTranslation("ast",null,{menuTitle:"asturianu",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax alcontr\u00F3 una cookie de configuraci\u00F3n d'usuariu qu'incluye c\u00F3digu a executar. \u00BFQuier executar esi c\u00F3digu?\n\n(Tendr\u00EDa de calcar \u00ABEncaboxar\u00BB a menos que creara la cookie vust\u00E9 mesmu.)",MathProcessingError:"Error de procesamientu matem\u00E1ticu",MathError:"Error matem\u00E1ticu",LoadFile:"Cargando %1",Loading:"Cargando",LoadFailed:"Fall\u00F3 la carga del ficheru: %1",ProcessMath:"Procesando matem\u00E1tiques: %1%%",Processing:"Procesando",TypesetMath:"Escribiendo matem\u00E1tiques: %1%%",Typesetting:"Componiendo",MathJaxNotSupported:"El so navegador nun tien sofitu pa MathJax",ErrorTips:"Conseyos de depuraci\u00F3n: usa %%1, inspect %%2 na consola del restolador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ast/ast.js");
diff --git a/localization/bcc/FontWarnings.js b/localization/bcc/FontWarnings.js
index a0e8a8c122..12ae3c04fe 100644
--- a/localization/bcc/FontWarnings.js
+++ b/localization/bcc/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bcc/FontWarnings.js
+ *  /MathJax-v2/localization/bcc/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bcc","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/FontWarnings.js");
+MathJax.Localization.addTranslation("bcc","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/FontWarnings.js");
diff --git a/localization/bcc/HTML-CSS.js b/localization/bcc/HTML-CSS.js
index 0acfdc928a..d1e6aa9c3a 100644
--- a/localization/bcc/HTML-CSS.js
+++ b/localization/bcc/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bcc/HTML-CSS.js
+ *  /MathJax-v2/localization/bcc/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bcc","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/HTML-CSS.js");
+MathJax.Localization.addTranslation("bcc","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/HTML-CSS.js");
diff --git a/localization/bcc/HelpDialog.js b/localization/bcc/HelpDialog.js
index 46f99ac226..03ce414d05 100644
--- a/localization/bcc/HelpDialog.js
+++ b/localization/bcc/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bcc/HelpDialog.js
+ *  /MathJax-v2/localization/bcc/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bcc","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/HelpDialog.js");
+MathJax.Localization.addTranslation("bcc","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/HelpDialog.js");
diff --git a/localization/bcc/MathML.js b/localization/bcc/MathML.js
index cd3505e36c..14a2bd9aba 100644
--- a/localization/bcc/MathML.js
+++ b/localization/bcc/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bcc/MathML.js
+ *  /MathJax-v2/localization/bcc/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bcc","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/MathML.js");
+MathJax.Localization.addTranslation("bcc","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/MathML.js");
diff --git a/localization/bcc/MathMenu.js b/localization/bcc/MathMenu.js
index b5c6f345c2..d9a1d7e6c4 100644
--- a/localization/bcc/MathMenu.js
+++ b/localization/bcc/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bcc/MathMenu.js
+ *  /MathJax-v2/localization/bcc/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bcc","MathMenu",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/MathMenu.js");
+MathJax.Localization.addTranslation("bcc","MathMenu",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/MathMenu.js");
diff --git a/localization/bcc/TeX.js b/localization/bcc/TeX.js
index 5be9aa00b4..1c221ddb83 100644
--- a/localization/bcc/TeX.js
+++ b/localization/bcc/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bcc/TeX.js
+ *  /MathJax-v2/localization/bcc/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bcc","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647",ExtraCloseMissingOpen:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u0647 \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632",MissingLeftExtraRight:"\u0641\u0642\u062F\u0627\u0646 \u200E\\left \u06CC\u0627 \u200E\\right \u0627\u0636\u0627\u0641\u06CC",MissingScript:"\u0641\u0642\u062F\u0627\u0646 \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0627\u0644\u0627\u0645\u062A\u0646 \u06CC\u0627 \u0632\u06CC\u0631\u0645\u062A\u0646",ExtraLeftMissingRight:"\u200E\\left \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u200E\\right",Misplaced:"%1 \u0646\u0627\u0628\u062C\u0627",MissingOpenForSub:"\u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0628\u0631\u0627\u06CC \u0632\u06CC\u0631\u0645\u062A\u0646",MissingOpenForSup:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0628\u0627\u0644\u0627\u0645\u062A\u0646",AmbiguousUseOf:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0645\u0628\u0647\u0645 \u0627\u0632 \u200E%1",EnvBadEnd:"\u200E\\begin{%1}\u200E \u067E\u0627\u06CC\u0627\u0646\u200C\u06CC\u0627\u0641\u062A\u0647 \u0628\u0627 \u200E\\end{%2}\u200E",EnvMissingEnd:"\u200E\\end{%1}\u200E \u06AF\u0645\u200C\u0634\u062F\u0647",MissingBoxFor:"\u062C\u0639\u0628\u0647\u0654 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",MissingCloseBrace:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0645\u0641\u0642\u0648\u062F",UndefinedControlSequence:"\u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644 \u062A\u0639\u0631\u06CC\u0641\u200C\u0646\u0634\u062F\u0647\u0654 %1",DoubleExponent:"\u062A\u0648\u0627\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleSubscripts:"\u0632\u06CC\u0631\u0645\u062A\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleExponentPrime:"\u062A\u0648\u0627\u0646 \u062F\u0648 \u0645\u0648\u062C\u0628 \u062A\u0648\u0627\u0646 \u0645\u0636\u0627\u0639\u0641 \u0634\u062F: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",CantUseHash1:"\u0634\u0645\u0627 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u00AB\u0645\u0627\u06A9\u0631\u0648 \u0646\u0648\u06CC\u0633\u0647\u0654 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 #\u00BB \u062F\u0631 \u062D\u0627\u0644\u062A \u0631\u06CC\u0627\u0636\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",MisplacedMiddle:"\u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0631\u0648\u0646 \u200E\\left \u0648 \u200E\\right \u0646\u0648\u0634\u062A\u0647\u200C\u0634\u0648\u062F",MisplacedLimits:"\u200E%1 \u0641\u0642\u0637 \u062F\u0631 \u0639\u0645\u0644\u06AF\u0631\u0647\u0627 \u0645\u062C\u0627\u0632 \u0627\u0633\u062A",MisplacedMoveRoot:"\u200E%1 \u062A\u0646\u0647\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u062F\u0631\u0648\u0646 \u06CC\u06A9 \u0631\u06CC\u0634\u0647 \u0638\u0627\u0647\u0631 \u0634\u0648\u062F",MultipleCommand:"\u200E%1 \u0686\u0646\u062F\u06AF\u0627\u0646\u0647",IntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u0628\u0627\u0634\u062F",NotMathMLToken:"%1 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0646\u0634\u0627\u0646 \u0646\u06CC\u0633\u062A",InvalidMathMLAttr:"\u0648\u06CC\u0698\u06AF\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631 MathML: %1",UnknownAttrForElement:"%1 \u06CC\u06A9 \u0648\u06CC\u0698\u06AF\u06CC \u0634\u0646\u0627\u062E\u062A\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %2 \u0646\u06CC\u0633\u062A",MaxMacroSub1:"\u0627\u0632 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u0634\u0645\u0627\u0631 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u0647\u0627\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",MaxMacroSub2:"\u0627\u0632 \u0634\u0645\u0627\u0631 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u062A\u0639\u062F\u0627\u062F \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0645\u062D\u06CC\u0637 \u0644\u06CC\u062A\u06A9 \u0628\u0627\u0632\u0634\u062A\u06AF\u06CC \u0645\u0648\u062C\u0648\u062F \u0627\u0633\u062A\u061F",MissingArgFor:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",ExtraAlignTab:"\u0628\u0631\u06AF\u0647\u0654 \u0686\u06CC\u0646\u0634 \u0627\u0636\u0627\u0641\u06CC \u062F\u0631 \u0645\u062A\u0646 \u200E\\cases",BracketMustBeDimension:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0628\u0639\u062F \u0628\u0627\u0634\u062F",InvalidEnv:" \u0646\u0627\u0645 \u0645\u062D\u06CC\u0637 \u0646\u0627\u0645\u0639\u062A\u0628\u0631 \u00AB%1\u00BB",UnknownEnv:"\u0645\u062D\u06CC\u0637 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u00AB%1\u00BB",ExtraCloseLooking:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u06CC \u0647\u0646\u06AF\u0627\u0645 \u062C\u0633\u062A\u062C\u0648\u06CC %1",MissingCloseBracket:"\u00AB]\u00BB \u0628\u0633\u062A\u0647 \u0628\u0631\u0627\u06CC \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MissingOrUnrecognizedDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647 \u06AF\u0645\u200C\u0634\u062F\u0647 \u06CC\u0627 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u0628\u0631\u0627\u06CC \u200E%1",MissingDimOrUnits:"\u0627\u0628\u0639\u0627\u062F \u06CC\u0627 \u0648\u0627\u062D\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u200E%1",TokenNotFoundForCommand:"%1 \u0628\u0631\u0627\u06CC %2 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MathNotTerminated:"\u0631\u06CC\u0627\u0636\u06CC \u062F\u0631 \u062C\u0639\u0628\u0647\u0654 \u0645\u062A\u0646 \u067E\u0627\u06CC\u0627\u0646 \u0646\u06CC\u0627\u0641\u062A\u0647\u200C\u0627\u0633\u062A",IllegalMacroParam:"\u0627\u0631\u062C\u0627\u0639 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u0645\u0627\u06A9\u0631\u0648\u06CC \u0646\u0627\u0645\u062C\u0627\u0632",MaxBufferSize:"\u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u06CC\u0627\u0646\u06AF\u06CC\u0631 \u062F\u0627\u062E\u0644\u06CC MathJax \u06AF\u0630\u0634\u062A\u0647 \u0634\u062F\u0647\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",CommandNotAllowedInEnv:"\u200E%1 \u062F\u0631 \u0645\u062D\u06CC\u0637 \u200E%2 \u0645\u062C\u0627\u0632 \u0646\u06CC\u0633\u062A",MultipleLabel:"\u0628\u0631\u0686\u0633\u067E \u00AB%1\u00BB \u0686\u0646\u062F\u0628\u0627\u0631 \u062A\u0639\u0631\u06CC\u0641\u200C\u0634\u062F\u0647",CommandAtTheBeginingOfLine:"%1 \u0628\u0627\u06CC\u062F \u062F\u0631 \u0634\u0631\u0648\u0639 \u062E\u0637 \u0628\u06CC\u0627\u06CC\u062F",IllegalAlign:"\u0686\u06CC\u0646\u0634 \u0645\u0634\u062E\u0635\u200C\u0634\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u062F\u0631 \u200E%1",BadMathStyleFor:"\u0633\u0628\u06A9 \u0628\u062F \u0631\u06CC\u0627\u0636\u06CC \u0628\u0631\u0627\u06CC \u200E%1",PositiveIntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0647 \u200E%1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u0639\u062F\u062F \u0645\u062B\u0628\u062A \u0628\u0627\u0634\u062F",ErroneousNestingEq:"\u0633\u0627\u062E\u062A\u0627\u0631\u0647\u0627\u06CC \u0627\u0634\u062A\u0628\u0627\u0647 \u062A\u0648\u062F\u0631\u062A\u0648\u06CC \u0645\u0639\u0627\u062F\u0644\u0647",MultlineRowsOneCol:"\u0633\u0637\u0631 \u062F\u0631\u0648\u0646 \u0645\u062D\u06CC\u0637 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0642\u06CC\u0642\u0627\u064B \u06CC\u06A9 \u0633\u062A\u0648\u0646 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F",MultipleBBoxProperty:"%1 \u062F\u0648\u0628\u0627\u0631 \u062F\u0631 \u200E%2 \u062A\u0639\u0631\u06CC\u0641 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",InvalidBBoxProperty:"'%1' \u0628\u0647 \u0646\u0638\u0631 \u06CC\u06A9 \u0631\u0646\u06AF\u060C \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0628\u0627\u0644\u0634\u062A\u06A9 \u06CC\u0627 \u0633\u0628\u06A9 \u0628\u0647 \u0646\u0638\u0631 \u0646\u0645\u06CC\u200C\u0631\u0633\u062F",ExtraEndMissingBegin:"\u200E%1 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \\begingroup \u06AF\u0645\u200C\u0634\u062F\u0647",GlobalNotFollowedBy:"\u200E%1 \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u200E\\let\u060C \u200E\\def \u06CC\u0627 \u200E\\newcommand \u0646\u06CC\u0627\u0645\u062F\u0647\u200C\u0627\u0633\u062A",UndefinedColorModel:"\u0645\u062F\u0644 \u0631\u0646\u06AF\u06CC '%1' \u062A\u0639\u0631\u06CC\u0641 \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A",ModelArg1:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u06F3 \u0639\u062F\u062F \u0627\u0633\u062A",InvalidDecimalNumber:"\u0639\u062F\u062F \u0627\u0639\u0634\u0627\u0631\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631",ModelArg2:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u0628\u06CC\u0646 %2 \u0648 %3 \u0628\u0627\u0634\u062F",InvalidNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u0639\u062A\u0628\u0631",NewextarrowArg1:"\u0646\u0634\u0627\u0648\u0646\u062F \u0627\u0648\u0644 \u0628\u0647 \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0646\u0627\u0645 \u06A9\u0646\u062A\u0631\u0644\u06CC \u062F\u0646\u0628\u0627\u0644\u0647 \u0628\u0627\u0634\u062F",NewextarrowArg2:"\u0646\u0634\u0646\u0627\u0648\u0646\u062F \u062F\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u062F\u0648 \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u062C\u062F\u0627 \u0634\u062F\u0647 \u0628\u0627 \u06CC\u06A9 \u06A9\u0627\u0645\u0627 \u0628\u0627\u0634\u062F",NewextarrowArg3:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0633\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u06CC\u06A9 \u0646\u0648\u06CC\u0633\u0647\u0654 \u06CC\u0648\u0646\u06CC\u06A9\u062F \u0628\u0627\u0634\u062F",NoClosingChar:"%1 \u0628\u0633\u062A\u0647 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",IllegalControlSequenceName:"\u0646\u0627\u0645 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u0631\u0627\u06CC \u200E%1 \u0646\u0627\u0645\u062C\u0627\u0632",IllegalParamNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u062C\u0627\u0632 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u062F\u0631 \u200E%1 \u0645\u0634\u062E\u0635 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",MissingCS:"\u200E%1 \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u06CC\u0627\u06CC\u062F",CantUseHash2:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u0627\u0632 # \u062F\u0631 \u0627\u0644\u06AF\u0648 \u0628\u0631\u0627\u06CC %1",SequentialParam:"\u067E\u0627\u0631\u0627\u0645\u062A\u0631\u0647\u0627 \u0628\u0631\u0627\u06CC %1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u0639\u062F\u062F\u06CC \u0628\u0627\u0634\u062F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/TeX.js");
+MathJax.Localization.addTranslation("bcc","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647",ExtraCloseMissingOpen:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u0647 \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632",MissingLeftExtraRight:"\u0641\u0642\u062F\u0627\u0646 \u200E\\left \u06CC\u0627 \u200E\\right \u0627\u0636\u0627\u0641\u06CC",MissingScript:"\u0641\u0642\u062F\u0627\u0646 \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0627\u0644\u0627\u0645\u062A\u0646 \u06CC\u0627 \u0632\u06CC\u0631\u0645\u062A\u0646",ExtraLeftMissingRight:"\u200E\\left \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u200E\\right",Misplaced:"%1 \u0646\u0627\u0628\u062C\u0627",MissingOpenForSub:"\u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0628\u0631\u0627\u06CC \u0632\u06CC\u0631\u0645\u062A\u0646",MissingOpenForSup:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0628\u0627\u0644\u0627\u0645\u062A\u0646",AmbiguousUseOf:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0645\u0628\u0647\u0645 \u0627\u0632 \u200E%1",EnvBadEnd:"\u200E\\begin{%1}\u200E \u067E\u0627\u06CC\u0627\u0646\u200C\u06CC\u0627\u0641\u062A\u0647 \u0628\u0627 \u200E\\end{%2}\u200E",EnvMissingEnd:"\u200E\\end{%1}\u200E \u06AF\u0645\u200C\u0634\u062F\u0647",MissingBoxFor:"\u062C\u0639\u0628\u0647\u0654 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",MissingCloseBrace:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0645\u0641\u0642\u0648\u062F",UndefinedControlSequence:"\u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644 \u062A\u0639\u0631\u06CC\u0641\u200C\u0646\u0634\u062F\u0647\u0654 %1",DoubleExponent:"\u062A\u0648\u0627\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleSubscripts:"\u0632\u06CC\u0631\u0645\u062A\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleExponentPrime:"\u062A\u0648\u0627\u0646 \u062F\u0648 \u0645\u0648\u062C\u0628 \u062A\u0648\u0627\u0646 \u0645\u0636\u0627\u0639\u0641 \u0634\u062F: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",CantUseHash1:"\u0634\u0645\u0627 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u00AB\u0645\u0627\u06A9\u0631\u0648 \u0646\u0648\u06CC\u0633\u0647\u0654 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 #\u00BB \u062F\u0631 \u062D\u0627\u0644\u062A \u0631\u06CC\u0627\u0636\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",MisplacedMiddle:"\u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0631\u0648\u0646 \u200E\\left \u0648 \u200E\\right \u0646\u0648\u0634\u062A\u0647\u200C\u0634\u0648\u062F",MisplacedLimits:"\u200E%1 \u0641\u0642\u0637 \u062F\u0631 \u0639\u0645\u0644\u06AF\u0631\u0647\u0627 \u0645\u062C\u0627\u0632 \u0627\u0633\u062A",MisplacedMoveRoot:"\u200E%1 \u062A\u0646\u0647\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u062F\u0631\u0648\u0646 \u06CC\u06A9 \u0631\u06CC\u0634\u0647 \u0638\u0627\u0647\u0631 \u0634\u0648\u062F",MultipleCommand:"\u200E%1 \u0686\u0646\u062F\u06AF\u0627\u0646\u0647",IntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u0628\u0627\u0634\u062F",NotMathMLToken:"%1 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0646\u0634\u0627\u0646 \u0646\u06CC\u0633\u062A",InvalidMathMLAttr:"\u0648\u06CC\u0698\u06AF\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631 MathML: %1",UnknownAttrForElement:"%1 \u06CC\u06A9 \u0648\u06CC\u0698\u06AF\u06CC \u0634\u0646\u0627\u062E\u062A\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %2 \u0646\u06CC\u0633\u062A",MaxMacroSub1:"\u0627\u0632 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u0634\u0645\u0627\u0631 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u0647\u0627\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",MaxMacroSub2:"\u0627\u0632 \u0634\u0645\u0627\u0631 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u062A\u0639\u062F\u0627\u062F \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0645\u062D\u06CC\u0637 \u0644\u06CC\u062A\u06A9 \u0628\u0627\u0632\u0634\u062A\u06AF\u06CC \u0645\u0648\u062C\u0648\u062F \u0627\u0633\u062A\u061F",MissingArgFor:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",ExtraAlignTab:"\u0628\u0631\u06AF\u0647\u0654 \u0686\u06CC\u0646\u0634 \u0627\u0636\u0627\u0641\u06CC \u062F\u0631 \u0645\u062A\u0646 \u200E\\cases",BracketMustBeDimension:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0628\u0639\u062F \u0628\u0627\u0634\u062F",InvalidEnv:" \u0646\u0627\u0645 \u0645\u062D\u06CC\u0637 \u0646\u0627\u0645\u0639\u062A\u0628\u0631 \u00AB%1\u00BB",UnknownEnv:"\u0645\u062D\u06CC\u0637 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u00AB%1\u00BB",ExtraCloseLooking:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u06CC \u0647\u0646\u06AF\u0627\u0645 \u062C\u0633\u062A\u062C\u0648\u06CC %1",MissingCloseBracket:"\u00AB]\u00BB \u0628\u0633\u062A\u0647 \u0628\u0631\u0627\u06CC \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MissingOrUnrecognizedDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647 \u06AF\u0645\u200C\u0634\u062F\u0647 \u06CC\u0627 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u0628\u0631\u0627\u06CC \u200E%1",MissingDimOrUnits:"\u0627\u0628\u0639\u0627\u062F \u06CC\u0627 \u0648\u0627\u062D\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u200E%1",TokenNotFoundForCommand:"%1 \u0628\u0631\u0627\u06CC %2 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MathNotTerminated:"\u0631\u06CC\u0627\u0636\u06CC \u062F\u0631 \u062C\u0639\u0628\u0647\u0654 \u0645\u062A\u0646 \u067E\u0627\u06CC\u0627\u0646 \u0646\u06CC\u0627\u0641\u062A\u0647\u200C\u0627\u0633\u062A",IllegalMacroParam:"\u0627\u0631\u062C\u0627\u0639 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u0645\u0627\u06A9\u0631\u0648\u06CC \u0646\u0627\u0645\u062C\u0627\u0632",MaxBufferSize:"\u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u06CC\u0627\u0646\u06AF\u06CC\u0631 \u062F\u0627\u062E\u0644\u06CC MathJax \u06AF\u0630\u0634\u062A\u0647 \u0634\u062F\u0647\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",CommandNotAllowedInEnv:"\u200E%1 \u062F\u0631 \u0645\u062D\u06CC\u0637 \u200E%2 \u0645\u062C\u0627\u0632 \u0646\u06CC\u0633\u062A",MultipleLabel:"\u0628\u0631\u0686\u0633\u067E \u00AB%1\u00BB \u0686\u0646\u062F\u0628\u0627\u0631 \u062A\u0639\u0631\u06CC\u0641\u200C\u0634\u062F\u0647",CommandAtTheBeginingOfLine:"%1 \u0628\u0627\u06CC\u062F \u062F\u0631 \u0634\u0631\u0648\u0639 \u062E\u0637 \u0628\u06CC\u0627\u06CC\u062F",IllegalAlign:"\u0686\u06CC\u0646\u0634 \u0645\u0634\u062E\u0635\u200C\u0634\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u062F\u0631 \u200E%1",BadMathStyleFor:"\u0633\u0628\u06A9 \u0628\u062F \u0631\u06CC\u0627\u0636\u06CC \u0628\u0631\u0627\u06CC \u200E%1",PositiveIntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0647 \u200E%1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u0639\u062F\u062F \u0645\u062B\u0628\u062A \u0628\u0627\u0634\u062F",ErroneousNestingEq:"\u0633\u0627\u062E\u062A\u0627\u0631\u0647\u0627\u06CC \u0627\u0634\u062A\u0628\u0627\u0647 \u062A\u0648\u062F\u0631\u062A\u0648\u06CC \u0645\u0639\u0627\u062F\u0644\u0647",MultlineRowsOneCol:"\u0633\u0637\u0631 \u062F\u0631\u0648\u0646 \u0645\u062D\u06CC\u0637 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0642\u06CC\u0642\u0627\u064B \u06CC\u06A9 \u0633\u062A\u0648\u0646 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F",MultipleBBoxProperty:"%1 \u062F\u0648\u0628\u0627\u0631 \u062F\u0631 \u200E%2 \u062A\u0639\u0631\u06CC\u0641 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",InvalidBBoxProperty:"'%1' \u0628\u0647 \u0646\u0638\u0631 \u06CC\u06A9 \u0631\u0646\u06AF\u060C \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0628\u0627\u0644\u0634\u062A\u06A9 \u06CC\u0627 \u0633\u0628\u06A9 \u0628\u0647 \u0646\u0638\u0631 \u0646\u0645\u06CC\u200C\u0631\u0633\u062F",ExtraEndMissingBegin:"\u200E%1 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \\begingroup \u06AF\u0645\u200C\u0634\u062F\u0647",GlobalNotFollowedBy:"\u200E%1 \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u200E\\let\u060C \u200E\\def \u06CC\u0627 \u200E\\newcommand \u0646\u06CC\u0627\u0645\u062F\u0647\u200C\u0627\u0633\u062A",UndefinedColorModel:"\u0645\u062F\u0644 \u0631\u0646\u06AF\u06CC '%1' \u062A\u0639\u0631\u06CC\u0641 \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A",ModelArg1:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u06F3 \u0639\u062F\u062F \u0627\u0633\u062A",InvalidDecimalNumber:"\u0639\u062F\u062F \u0627\u0639\u0634\u0627\u0631\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631",ModelArg2:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u0628\u06CC\u0646 %2 \u0648 %3 \u0628\u0627\u0634\u062F",InvalidNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u0639\u062A\u0628\u0631",NewextarrowArg1:"\u0646\u0634\u0627\u0648\u0646\u062F \u0627\u0648\u0644 \u0628\u0647 \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0646\u0627\u0645 \u06A9\u0646\u062A\u0631\u0644\u06CC \u062F\u0646\u0628\u0627\u0644\u0647 \u0628\u0627\u0634\u062F",NewextarrowArg2:"\u0646\u0634\u0646\u0627\u0648\u0646\u062F \u062F\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u062F\u0648 \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u062C\u062F\u0627 \u0634\u062F\u0647 \u0628\u0627 \u06CC\u06A9 \u06A9\u0627\u0645\u0627 \u0628\u0627\u0634\u062F",NewextarrowArg3:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0633\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u06CC\u06A9 \u0646\u0648\u06CC\u0633\u0647\u0654 \u06CC\u0648\u0646\u06CC\u06A9\u062F \u0628\u0627\u0634\u062F",NoClosingChar:"%1 \u0628\u0633\u062A\u0647 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",IllegalControlSequenceName:"\u0646\u0627\u0645 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u0631\u0627\u06CC \u200E%1 \u0646\u0627\u0645\u062C\u0627\u0632",IllegalParamNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u062C\u0627\u0632 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u062F\u0631 \u200E%1 \u0645\u0634\u062E\u0635 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",MissingCS:"\u200E%1 \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u06CC\u0627\u06CC\u062F",CantUseHash2:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u0627\u0632 # \u062F\u0631 \u0627\u0644\u06AF\u0648 \u0628\u0631\u0627\u06CC %1",SequentialParam:"\u067E\u0627\u0631\u0627\u0645\u062A\u0631\u0647\u0627 \u0628\u0631\u0627\u06CC %1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u0639\u062F\u062F\u06CC \u0628\u0627\u0634\u062F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/TeX.js");
diff --git a/localization/bcc/bcc.js b/localization/bcc/bcc.js
index f0510cff11..4f44c722cc 100644
--- a/localization/bcc/bcc.js
+++ b/localization/bcc/bcc.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bcc/bcc.js
+ *  /MathJax-v2/localization/bcc/bcc.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bcc",null,{menuTitle:"\u0628\u0644\u0648\u0686\u06CC",fontDirection:"rtl",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"\u062E\u0637\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC",MathError:"\u062D\u0637\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC",LoadFile:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC %1",Loading:"\u0644\u0648\u062F\u0628\u06CC\u062A...",LoadFailed:"\u062E\u0637\u0627 \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u067E\u0631\u0648\u0646\u062F\u0647: %1",ProcessMath:"\u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Processing:"\u067E\u0631\u062F\u0627\u0632\u0634",TypesetMath:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Typesetting:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC",MathJaxNotSupported:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathJax \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/bcc.js");
+MathJax.Localization.addTranslation("bcc",null,{menuTitle:"\u0628\u0644\u0648\u0686\u06CC",fontDirection:"rtl",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"\u062E\u0637\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC",MathError:"\u062D\u0637\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC",LoadFile:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC %1",Loading:"\u0644\u0648\u062F\u0628\u06CC\u062A...",LoadFailed:"\u062E\u0637\u0627 \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u067E\u0631\u0648\u0646\u062F\u0647: %1",ProcessMath:"\u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Processing:"\u067E\u0631\u062F\u0627\u0632\u0634",TypesetMath:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Typesetting:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC",MathJaxNotSupported:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathJax \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/bcc/bcc.js");
diff --git a/localization/bg/FontWarnings.js b/localization/bg/FontWarnings.js
index 86154c77ad..99846c4564 100644
--- a/localization/bg/FontWarnings.js
+++ b/localization/bg/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bg/FontWarnings.js
+ *  /MathJax-v2/localization/bg/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bg","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/FontWarnings.js");
+MathJax.Localization.addTranslation("bg","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/FontWarnings.js");
diff --git a/localization/bg/HTML-CSS.js b/localization/bg/HTML-CSS.js
index 6f942f3dc6..befa26dc1a 100644
--- a/localization/bg/HTML-CSS.js
+++ b/localization/bg/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bg/HTML-CSS.js
+ *  /MathJax-v2/localization/bg/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bg","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/HTML-CSS.js");
+MathJax.Localization.addTranslation("bg","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/HTML-CSS.js");
diff --git a/localization/bg/HelpDialog.js b/localization/bg/HelpDialog.js
index b0fca5609e..d1b2045a99 100644
--- a/localization/bg/HelpDialog.js
+++ b/localization/bg/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bg/HelpDialog.js
+ *  /MathJax-v2/localization/bg/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bg","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/HelpDialog.js");
+MathJax.Localization.addTranslation("bg","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/HelpDialog.js");
diff --git a/localization/bg/MathML.js b/localization/bg/MathML.js
index 2f9c208366..2c624ded49 100644
--- a/localization/bg/MathML.js
+++ b/localization/bg/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bg/MathML.js
+ *  /MathJax-v2/localization/bg/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bg","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/MathML.js");
+MathJax.Localization.addTranslation("bg","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/MathML.js");
diff --git a/localization/bg/MathMenu.js b/localization/bg/MathMenu.js
index 777a74ce81..a8910fb976 100644
--- a/localization/bg/MathMenu.js
+++ b/localization/bg/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bg/MathMenu.js
+ *  /MathJax-v2/localization/bg/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bg","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0436\u0438 \u043A\u0430\u0442\u043E",MathMLcode:"MathML \u043A\u043E\u0434",OriginalMathML:"\u041E\u0440\u0438\u0433\u0438\u043D\u0430\u043B\u043D\u0438\u044F\u0442 MathML \u043A\u043E\u0434",TeXCommands:"TeX \u043A\u043E\u043C\u0430\u043D\u0434\u0438",AsciiMathInput:"AsciiMathML \u043A\u043E\u0434",ErrorMessage:"\u0421\u044A\u043E\u0431\u0449\u0435\u043D\u0438\u0435 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",Annotation:"\u0410\u043D\u043E\u0442\u0430\u0446\u0438\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",OpenMath:"OpenMath",Settings:"\u041D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438",ZoomTrigger:"\u0423\u0432\u0435\u043B\u0438\u0447\u0430\u0432\u0430\u0439 \u0447\u0440\u0435\u0437",Hover:"\u041F\u043E\u0441\u043E\u0447\u0432\u0430\u043D\u0435",Click:"\u041A\u043B\u0438\u043A",DoubleClick:"\u0414\u0432\u043E\u0435\u043D \u043A\u043B\u0438\u043A",NoZoom:"\u0418\u0437\u043A\u043B\u044E\u0447\u0435\u043D\u043E",TriggerRequires:"\u0418\u0437\u0438\u0441\u043A\u0432\u0430\u0439 \u043D\u0430\u0442\u0438\u0441\u043D\u0430\u0442:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u0423\u0432\u0435\u043B\u0438\u0447\u0438 \u043D\u0430",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E",Browser:"\u0411\u0440\u0430\u0443\u0437\u044A\u0440",Locale:"\u0415\u0437\u0438\u043A",About:"\u0417\u0430 MathJax",Close:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/MathMenu.js");
+MathJax.Localization.addTranslation("bg","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0436\u0438 \u043A\u0430\u0442\u043E",MathMLcode:"MathML \u043A\u043E\u0434",OriginalMathML:"\u041E\u0440\u0438\u0433\u0438\u043D\u0430\u043B\u043D\u0438\u044F\u0442 MathML \u043A\u043E\u0434",TeXCommands:"TeX \u043A\u043E\u043C\u0430\u043D\u0434\u0438",AsciiMathInput:"AsciiMathML \u043A\u043E\u0434",ErrorMessage:"\u0421\u044A\u043E\u0431\u0449\u0435\u043D\u0438\u0435 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",Annotation:"\u0410\u043D\u043E\u0442\u0430\u0446\u0438\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",OpenMath:"OpenMath",Settings:"\u041D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438",ZoomTrigger:"\u0423\u0432\u0435\u043B\u0438\u0447\u0430\u0432\u0430\u0439 \u0447\u0440\u0435\u0437",Hover:"\u041F\u043E\u0441\u043E\u0447\u0432\u0430\u043D\u0435",Click:"\u041A\u043B\u0438\u043A",DoubleClick:"\u0414\u0432\u043E\u0435\u043D \u043A\u043B\u0438\u043A",NoZoom:"\u0418\u0437\u043A\u043B\u044E\u0447\u0435\u043D\u043E",TriggerRequires:"\u0418\u0437\u0438\u0441\u043A\u0432\u0430\u0439 \u043D\u0430\u0442\u0438\u0441\u043D\u0430\u0442:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u0423\u0432\u0435\u043B\u0438\u0447\u0438 \u043D\u0430",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E",Browser:"\u0411\u0440\u0430\u0443\u0437\u044A\u0440",Locale:"\u0415\u0437\u0438\u043A",About:"\u0417\u0430 MathJax",Close:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/MathMenu.js");
diff --git a/localization/bg/TeX.js b/localization/bg/TeX.js
index 3452120dc2..e08ebc0e13 100644
--- a/localization/bg/TeX.js
+++ b/localization/bg/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bg/TeX.js
+ *  /MathJax-v2/localization/bg/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bg","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0418\u043C\u0430 \u0438\u0437\u043B\u0438\u0448\u043D\u0430 \u043E\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0438\u043B\u0438 \u043B\u0438\u043F\u0441\u0432\u0430\u0449\u0430 \u0437\u0430\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430",ExtraCloseMissingOpen:"\u0418\u043C\u0430 \u0438\u0437\u043B\u0438\u0448\u043D\u0430 \u0437\u0430\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0438\u043B\u0438 \u043B\u0438\u043F\u0441\u0432\u0430\u0449\u0430 \u043E\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430",MissingLeftExtraRight:"\u041B\u0438\u043F\u0441\u0432\u0430 \\left \u0438\u043B\u0438 \u0438\u043C\u0430 \u0438\u0437\u043B\u0438\u0448\u0435\u043D \\right",MissingScript:"\u041B\u0438\u043F\u0441\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u043F\u0440\u0438 \u0441\u0442\u0435\u043F\u0435\u043D \u0438\u043B\u0438 \u0438\u043D\u0434\u0435\u043A\u0441",ExtraLeftMissingRight:"\u0418\u043C\u0430 \u0438\u0437\u043B\u0438\u0448\u0435\u043D \\left \u0438\u043B\u0438 \u043B\u0438\u043F\u0441\u0432\u0430 \\right",Misplaced:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u043D\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D %1",MissingOpenForSub:"\u041B\u0438\u043F\u0441\u0432\u0430 \u043E\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430 \u0437\u0430 \u0438\u043D\u0434\u0435\u043A\u0441",MissingOpenForSup:"\u041B\u0438\u043F\u0441\u0432\u0430 \u043E\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430 \u0437\u0430 \u0441\u0442\u0435\u043F\u0435\u043D",AmbiguousUseOf:"\u0414\u0432\u0443\u0441\u043C\u0438\u0441\u043B\u0435\u043D\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 %1",EnvBadEnd:"\\begin{%1} \u0435 \u0437\u0430\u0442\u0432\u043E\u0440\u0435\u043D \u0441 \\end{%2}",EnvMissingEnd:"\u041B\u0438\u043F\u0441\u0432\u0430 \\end{%1}",MissingBoxFor:"\u041B\u0438\u043F\u0441\u0432\u0430\u0449 box \u0437\u0430 %1",MissingCloseBrace:"\u041B\u0438\u043F\u0441\u0432\u0430 \u0437\u0430\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430",UndefinedControlSequence:"\u041D\u0435\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u043D\u043E\u0441\u0442 %1",DoubleExponent:"\u0414\u0432\u043E\u0439\u043D\u0430 \u0435\u043A\u0441\u043F\u043E\u043C\u0435\u043D\u0442\u0430: \u0443\u0442\u043E\u0447\u043D\u0435\u0442\u0435 \u0441\u044A\u0441 \u0441\u043A\u043E\u0431\u0438",DoubleSubscripts:"\u0414\u0432\u043E\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u0443\u0442\u043E\u0447\u043D\u0435\u0442\u0435 \u0441\u044A\u0441 \u0441\u043A\u043E\u0431\u0438",DoubleExponentPrime:"\u0414\u0432\u0443\u0441\u043C\u0438\u0441\u043B\u0435\u043D\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 \u043F\u0440\u0438\u043C ('): \u0443\u0442\u043E\u0447\u043D\u0435\u0442\u0435 \u0441\u044A\u0441 \u0441\u043A\u043E\u0431\u0438",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0438\u0437\u043F\u043E\u043B\u0437\u0432\u0430\u0442\u0435 '\u043C\u0430\u043A\u0440\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u044A\u0440 #' \u0432 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438 \u0440\u0435\u0436\u0438\u043C",MisplacedMiddle:"%1 \u0442\u0440\u044F\u0431\u0432\u0430 \u0434\u0430 \u0435 \u043C\u0435\u0436\u0434\u0443 \\left \u0438 \\right",MisplacedLimits:"%1 \u0435 \u043F\u043E\u0437\u0432\u043E\u043B\u0435\u043D\u043E \u0441\u0430\u043C\u043E \u043F\u0440\u0438 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0438",MisplacedMoveRoot:"%1 \u0441\u0435 \u0438\u0437\u043F\u043E\u043B\u0437\u0432\u0430 \u0441\u0430\u043C\u043E \u0432 \u043A\u043E\u0440\u0435\u043D",MultipleCommand:"\u041C\u043D\u043E\u0436\u0435\u0441\u0442\u0432\u043E %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u044A\u0442 \u0437\u0430 %1 \u0442\u0440\u044F\u0431\u0432\u0430 \u0434\u0430 \u0435 \u0446\u044F\u043B\u043E \u0447\u0438\u0441\u043B\u043E",NotMathMLToken:"%1 - \u043D\u0435 \u0435 \u0437\u0430 MathML",InvalidMathMLAttr:"\u041D\u0435\u0432\u0430\u043B\u0438\u0434\u0435\u043D MathML \u0430\u0442\u0440\u0438\u0431\u0443\u0442: %1",UnknownAttrForElement:"%1 \u043D\u0435 \u0435 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u043D\u0430 MathML \u0442\u0430\u0433 %2",MaxMacroSub1:"\u041C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u043D\u0438\u044F\u0442 \u0431\u0440\u043E\u0439 \u0437\u0430\u043C\u0435\u0441\u0442\u0432\u0430\u043D\u0438\u044F \u0441 \u043C\u0430\u043A\u0440\u043E\u0441\u0438 \u0435 \u043F\u0440\u0435\u0432\u0438\u0448\u0435\u043D. \u0418\u043C\u0430 \u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u043E \u0438\u0437\u0432\u0438\u043A\u0432\u0430\u043D\u0435?",MaxMacroSub2:"\u041C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u043D\u0438\u044F\u0442 \u0431\u0440\u043E\u0439 \u043D\u0430 \u0437\u0430\u043C\u0435\u0441\u0442\u0432\u0430\u043D\u0438\u044F \u0435 \u043F\u0440\u0435\u0432\u0438\u0448\u0435\u043D. \u0418\u043C\u0430 \u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u044F?",MissingArgFor:"\u041B\u0438\u043F\u0441\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1",ExtraAlignTab:"\u0422\u0432\u044A\u0440\u0434\u0435 \u043C\u043D\u043E\u0433\u043E \u043A\u043E\u043B\u043E\u043D\u0438 \u0432 \\cases",BracketMustBeDimension:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u044A\u0442 \u043D\u0430 %1 \u0442\u0440\u044F\u0431\u0432\u0430 \u0434\u0430 \u0435 \u0440\u0430\u0437\u043C\u0435\u0440\u043D\u043E\u0441\u0442",InvalidEnv:"\u041D\u0435\u0432\u0430\u043B\u0438\u0434\u043D\u043E \u0438\u043C\u0435 '%1'",UnknownEnv:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442\u0430 \u0441\u0440\u0435\u0434\u0430 '%1'",ExtraCloseLooking:"\u0418\u0437\u043B\u0438\u0448\u043D\u0430 \u0437\u0430\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430 \u043F\u0440\u0438 \u0442\u044A\u0440\u0441\u0435\u043D\u0435 \u043D\u0430 %1",MissingCloseBracket:"\u041D\u044F\u043C\u0430 \u0437\u0430\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430 ']' \u0437\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u043D\u0430 %1",MissingOrUnrecognizedDelim:"\u041B\u0438\u043F\u0441\u0432\u0430\u0449 \u0438\u043B\u0438 \u043D\u0435\u043F\u043E\u0437\u043D\u0430\u0442 \u0440\u0430\u0437\u0434\u0435\u043B\u0438\u0442\u0435\u043B \u043D\u0430 %1",MissingDimOrUnits:"\u041D\u0435\u0432\u0430\u043B\u0438\u0434\u043D\u0430 \u0440\u0430\u0437\u043C\u0435\u0440\u043D\u043E\u0441\u0442 \u0438\u043B\u0438 \u043D\u0435\u0439\u043D\u0430 \u0441\u0442\u043E\u0439\u043D\u043E\u0441\u0442 \u0432 %1",TokenNotFoundForCommand:"\u041D\u0435 \u0441\u0435 \u043D\u0430\u043C\u0438\u0440\u0430 %1 \u0437\u0430 %2",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0435 \u043F\u043E\u0437\u0432\u043E\u043B\u0435\u043D\u043E \u0432 %2 \u0441\u0440\u0435\u0434\u0430",MultipleLabel:'\u0415\u0442\u0438\u043A\u0435\u0442 "%1" \u0435 \u0434\u0443\u0431\u043B\u0438\u0440\u0430\u043D',InvalidNumber:"\u041D\u0435\u0432\u0430\u043B\u0438\u0434\u043D\u043E \u0447\u0438\u0441\u043B\u043E"}});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/TeX.js");
+MathJax.Localization.addTranslation("bg","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0418\u043C\u0430 \u0438\u0437\u043B\u0438\u0448\u043D\u0430 \u043E\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0438\u043B\u0438 \u043B\u0438\u043F\u0441\u0432\u0430\u0449\u0430 \u0437\u0430\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430",ExtraCloseMissingOpen:"\u0418\u043C\u0430 \u0438\u0437\u043B\u0438\u0448\u043D\u0430 \u0437\u0430\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0438\u043B\u0438 \u043B\u0438\u043F\u0441\u0432\u0430\u0449\u0430 \u043E\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430",MissingLeftExtraRight:"\u041B\u0438\u043F\u0441\u0432\u0430 \\left \u0438\u043B\u0438 \u0438\u043C\u0430 \u0438\u0437\u043B\u0438\u0448\u0435\u043D \\right",MissingScript:"\u041B\u0438\u043F\u0441\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u043F\u0440\u0438 \u0441\u0442\u0435\u043F\u0435\u043D \u0438\u043B\u0438 \u0438\u043D\u0434\u0435\u043A\u0441",ExtraLeftMissingRight:"\u0418\u043C\u0430 \u0438\u0437\u043B\u0438\u0448\u0435\u043D \\left \u0438\u043B\u0438 \u043B\u0438\u043F\u0441\u0432\u0430 \\right",Misplaced:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u043D\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D %1",MissingOpenForSub:"\u041B\u0438\u043F\u0441\u0432\u0430 \u043E\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430 \u0437\u0430 \u0438\u043D\u0434\u0435\u043A\u0441",MissingOpenForSup:"\u041B\u0438\u043F\u0441\u0432\u0430 \u043E\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430 \u0437\u0430 \u0441\u0442\u0435\u043F\u0435\u043D",AmbiguousUseOf:"\u0414\u0432\u0443\u0441\u043C\u0438\u0441\u043B\u0435\u043D\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 %1",EnvBadEnd:"\\begin{%1} \u0435 \u0437\u0430\u0442\u0432\u043E\u0440\u0435\u043D \u0441 \\end{%2}",EnvMissingEnd:"\u041B\u0438\u043F\u0441\u0432\u0430 \\end{%1}",MissingBoxFor:"\u041B\u0438\u043F\u0441\u0432\u0430\u0449 box \u0437\u0430 %1",MissingCloseBrace:"\u041B\u0438\u043F\u0441\u0432\u0430 \u0437\u0430\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430",UndefinedControlSequence:"\u041D\u0435\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u043D\u043E\u0441\u0442 %1",DoubleExponent:"\u0414\u0432\u043E\u0439\u043D\u0430 \u0435\u043A\u0441\u043F\u043E\u043C\u0435\u043D\u0442\u0430: \u0443\u0442\u043E\u0447\u043D\u0435\u0442\u0435 \u0441\u044A\u0441 \u0441\u043A\u043E\u0431\u0438",DoubleSubscripts:"\u0414\u0432\u043E\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u0443\u0442\u043E\u0447\u043D\u0435\u0442\u0435 \u0441\u044A\u0441 \u0441\u043A\u043E\u0431\u0438",DoubleExponentPrime:"\u0414\u0432\u0443\u0441\u043C\u0438\u0441\u043B\u0435\u043D\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 \u043F\u0440\u0438\u043C ('): \u0443\u0442\u043E\u0447\u043D\u0435\u0442\u0435 \u0441\u044A\u0441 \u0441\u043A\u043E\u0431\u0438",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0438\u0437\u043F\u043E\u043B\u0437\u0432\u0430\u0442\u0435 '\u043C\u0430\u043A\u0440\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u044A\u0440 #' \u0432 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438 \u0440\u0435\u0436\u0438\u043C",MisplacedMiddle:"%1 \u0442\u0440\u044F\u0431\u0432\u0430 \u0434\u0430 \u0435 \u043C\u0435\u0436\u0434\u0443 \\left \u0438 \\right",MisplacedLimits:"%1 \u0435 \u043F\u043E\u0437\u0432\u043E\u043B\u0435\u043D\u043E \u0441\u0430\u043C\u043E \u043F\u0440\u0438 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0438",MisplacedMoveRoot:"%1 \u0441\u0435 \u0438\u0437\u043F\u043E\u043B\u0437\u0432\u0430 \u0441\u0430\u043C\u043E \u0432 \u043A\u043E\u0440\u0435\u043D",MultipleCommand:"\u041C\u043D\u043E\u0436\u0435\u0441\u0442\u0432\u043E %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u044A\u0442 \u0437\u0430 %1 \u0442\u0440\u044F\u0431\u0432\u0430 \u0434\u0430 \u0435 \u0446\u044F\u043B\u043E \u0447\u0438\u0441\u043B\u043E",NotMathMLToken:"%1 - \u043D\u0435 \u0435 \u0437\u0430 MathML",InvalidMathMLAttr:"\u041D\u0435\u0432\u0430\u043B\u0438\u0434\u0435\u043D MathML \u0430\u0442\u0440\u0438\u0431\u0443\u0442: %1",UnknownAttrForElement:"%1 \u043D\u0435 \u0435 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u043D\u0430 MathML \u0442\u0430\u0433 %2",MaxMacroSub1:"\u041C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u043D\u0438\u044F\u0442 \u0431\u0440\u043E\u0439 \u0437\u0430\u043C\u0435\u0441\u0442\u0432\u0430\u043D\u0438\u044F \u0441 \u043C\u0430\u043A\u0440\u043E\u0441\u0438 \u0435 \u043F\u0440\u0435\u0432\u0438\u0448\u0435\u043D. \u0418\u043C\u0430 \u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u043E \u0438\u0437\u0432\u0438\u043A\u0432\u0430\u043D\u0435?",MaxMacroSub2:"\u041C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u043D\u0438\u044F\u0442 \u0431\u0440\u043E\u0439 \u043D\u0430 \u0437\u0430\u043C\u0435\u0441\u0442\u0432\u0430\u043D\u0438\u044F \u0435 \u043F\u0440\u0435\u0432\u0438\u0448\u0435\u043D. \u0418\u043C\u0430 \u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u044F?",MissingArgFor:"\u041B\u0438\u043F\u0441\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1",ExtraAlignTab:"\u0422\u0432\u044A\u0440\u0434\u0435 \u043C\u043D\u043E\u0433\u043E \u043A\u043E\u043B\u043E\u043D\u0438 \u0432 \\cases",BracketMustBeDimension:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u044A\u0442 \u043D\u0430 %1 \u0442\u0440\u044F\u0431\u0432\u0430 \u0434\u0430 \u0435 \u0440\u0430\u0437\u043C\u0435\u0440\u043D\u043E\u0441\u0442",InvalidEnv:"\u041D\u0435\u0432\u0430\u043B\u0438\u0434\u043D\u043E \u0438\u043C\u0435 '%1'",UnknownEnv:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442\u0430 \u0441\u0440\u0435\u0434\u0430 '%1'",ExtraCloseLooking:"\u0418\u0437\u043B\u0438\u0448\u043D\u0430 \u0437\u0430\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430 \u043F\u0440\u0438 \u0442\u044A\u0440\u0441\u0435\u043D\u0435 \u043D\u0430 %1",MissingCloseBracket:"\u041D\u044F\u043C\u0430 \u0437\u0430\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430 ']' \u0437\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u043D\u0430 %1",MissingOrUnrecognizedDelim:"\u041B\u0438\u043F\u0441\u0432\u0430\u0449 \u0438\u043B\u0438 \u043D\u0435\u043F\u043E\u0437\u043D\u0430\u0442 \u0440\u0430\u0437\u0434\u0435\u043B\u0438\u0442\u0435\u043B \u043D\u0430 %1",MissingDimOrUnits:"\u041D\u0435\u0432\u0430\u043B\u0438\u0434\u043D\u0430 \u0440\u0430\u0437\u043C\u0435\u0440\u043D\u043E\u0441\u0442 \u0438\u043B\u0438 \u043D\u0435\u0439\u043D\u0430 \u0441\u0442\u043E\u0439\u043D\u043E\u0441\u0442 \u0432 %1",TokenNotFoundForCommand:"\u041D\u0435 \u0441\u0435 \u043D\u0430\u043C\u0438\u0440\u0430 %1 \u0437\u0430 %2",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0435 \u043F\u043E\u0437\u0432\u043E\u043B\u0435\u043D\u043E \u0432 %2 \u0441\u0440\u0435\u0434\u0430",MultipleLabel:'\u0415\u0442\u0438\u043A\u0435\u0442 "%1" \u0435 \u0434\u0443\u0431\u043B\u0438\u0440\u0430\u043D',InvalidNumber:"\u041D\u0435\u0432\u0430\u043B\u0438\u0434\u043D\u043E \u0447\u0438\u0441\u043B\u043E"}});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/TeX.js");
diff --git a/localization/bg/bg.js b/localization/bg/bg.js
index 63a43b312f..243ac915b1 100644
--- a/localization/bg/bg.js
+++ b/localization/bg/bg.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/bg/bg.js
+ *  /MathJax-v2/localization/bg/bg.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("bg",null,{menuTitle:" \u0431\u044A\u043B\u0433\u0430\u0440\u0441\u043A\u0438",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430\u0442\u0430",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",LoadFile:"\u0417\u0430\u0440\u0435\u0436\u0434\u0430\u043D\u0435 \u043D\u0430 %1",Loading:"\u0417\u0430\u0440\u0435\u0436\u0434\u0430\u043D\u0435",LoadFailed:"\u041D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u0437\u0430\u0440\u0435\u0434\u0438: %1",ProcessMath:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430 \u043D\u0430 \u043A\u043E\u0434\u0430: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",TypesetMath:"\u041E\u0444\u043E\u0440\u043C\u044F\u043D\u0435: %1%%",Typesetting:"\u041E\u0444\u043E\u0440\u043C\u044F\u043D\u0435",MathJaxNotSupported:"\u0411\u0440\u0430\u0443\u0437\u044A\u0440\u044A\u0442 \u0412\u0438 \u043D\u0435 \u043F\u043E\u0434\u0434\u044A\u0440\u0436\u0430 MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:undefined});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/bg.js");
+MathJax.Localization.addTranslation("bg",null,{menuTitle:" \u0431\u044A\u043B\u0433\u0430\u0440\u0441\u043A\u0438",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430\u0442\u0430",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",LoadFile:"\u0417\u0430\u0440\u0435\u0436\u0434\u0430\u043D\u0435 \u043D\u0430 %1",Loading:"\u0417\u0430\u0440\u0435\u0436\u0434\u0430\u043D\u0435",LoadFailed:"\u041D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u0437\u0430\u0440\u0435\u0434\u0438: %1",ProcessMath:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430 \u043D\u0430 \u043A\u043E\u0434\u0430: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",TypesetMath:"\u041E\u0444\u043E\u0440\u043C\u044F\u043D\u0435: %1%%",Typesetting:"\u041E\u0444\u043E\u0440\u043C\u044F\u043D\u0435",MathJaxNotSupported:"\u0411\u0440\u0430\u0443\u0437\u044A\u0440\u044A\u0442 \u0412\u0438 \u043D\u0435 \u043F\u043E\u0434\u0434\u044A\u0440\u0436\u0430 MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:undefined});MathJax.Ajax.loadComplete("[MathJax]/localization/bg/bg.js");
diff --git a/localization/br/FontWarnings.js b/localization/br/FontWarnings.js
index 2577ad3959..c5aa9d14fe 100644
--- a/localization/br/FontWarnings.js
+++ b/localization/br/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/br/FontWarnings.js
+ *  /MathJax-v2/localization/br/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax a implij ar fonto\u00F9 web evit diskwel ar jedado\u00F9 war ar bajenn-ma\u00F1. Pell eo ar re-se o pellgarga\u00F1 ha diskwelet e vefe buanoc'h ma stailhfec'h fonto\u00F9 jedoniezh war-eeun e teuliad fonto\u00F9 ho reizhiad.",noFonts:"N'hall ket MathJax lec'hia\u00F1 ur polis evit diskwel e jedado\u00F9, ha dihegerz eo ar fonto\u00F9 skeudenn. Ret eo implijout arouezenno\u00F9 Unicode neuze. Emicha\u00F1s e c'hallo ho merdeer diskwel anezho. Ne c'hallo ket arouezenno\u00F9 zo beza\u00F1 diskwelet mat, tamm ebet zoken.",webFonts:"GAnt an darn vrasa\u00F1 eus ar merdeerio\u00F9 arnevez e c'haller pellgarga\u00F1 fonto\u00F9 adalek ar web. Hizivaat ho merdeer (pe che\u00F1ch merdeer) a c'hallfe gwellaat kalite ar jedado\u00F9 war ar bajenn-ma\u00F1.",fonts:"Gallout a ra MathJax implijout pe ar fonto\u00F9 [STIX](%1) pe ar fonto\u00F9 [MathJax TeX](%2); Pellgargit ha stailhit unan eus fonto\u00F9-se evit gwellaat ho skiant-prenet gant MathJax.",STIXPage:"Krouet eo bet ar bajenn-ma\u00F1 evit implijout ar fonto\u00F9 [STIX ](%1). Pellgargit ha stailhit ar fonto\u00F9-se evit gwellaat ho skiant-penet gant MathJax.",TeXPage:"Krouet eo bet ar bajenn-ma\u00F1 evit implijout ar fonto\u00F9 [MathJax TeX](%1). Pellgargit ha stailhit ar fonto\u00F9-se evit gwellaat ho skiant-prenet gant MathJax.",imageFonts:"Ober a ra MathJax gant skeudenno\u00F9 font kentoc'h eget gant fonto\u00F9 web pe fonto\u00F9 lec'hel. Gant se e teu an trao\u00F9 gorrekoc'h war-wel ha marteze ne vo ket ar jedado\u00F9 evit beza\u00F1 moullet diouzh pizhder kloka\u00F1 ho moullerez."}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/FontWarnings.js");
+MathJax.Localization.addTranslation("br","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax a implij ar fonto\u00F9 web evit diskwel ar jedado\u00F9 war ar bajenn-ma\u00F1. Pell eo ar re-se o pellgarga\u00F1 ha diskwelet e vefe buanoc'h ma stailhfec'h fonto\u00F9 jedoniezh war-eeun e teuliad fonto\u00F9 ho reizhiad.",noFonts:"N'hall ket MathJax lec'hia\u00F1 ur polis evit diskwel e jedado\u00F9, ha dihegerz eo ar fonto\u00F9 skeudenn. Ret eo implijout arouezenno\u00F9 Unicode neuze. Emicha\u00F1s e c'hallo ho merdeer diskwel anezho. Ne c'hallo ket arouezenno\u00F9 zo beza\u00F1 diskwelet mat, tamm ebet zoken.",webFonts:"GAnt an darn vrasa\u00F1 eus ar merdeerio\u00F9 arnevez e c'haller pellgarga\u00F1 fonto\u00F9 adalek ar web. Hizivaat ho merdeer (pe che\u00F1ch merdeer) a c'hallfe gwellaat kalite ar jedado\u00F9 war ar bajenn-ma\u00F1.",fonts:"Gallout a ra MathJax implijout pe ar fonto\u00F9 [STIX](%1) pe ar fonto\u00F9 [MathJax TeX](%2); Pellgargit ha stailhit unan eus fonto\u00F9-se evit gwellaat ho skiant-prenet gant MathJax.",STIXPage:"Krouet eo bet ar bajenn-ma\u00F1 evit implijout ar fonto\u00F9 [STIX ](%1). Pellgargit ha stailhit ar fonto\u00F9-se evit gwellaat ho skiant-penet gant MathJax.",TeXPage:"Krouet eo bet ar bajenn-ma\u00F1 evit implijout ar fonto\u00F9 [MathJax TeX](%1). Pellgargit ha stailhit ar fonto\u00F9-se evit gwellaat ho skiant-prenet gant MathJax.",imageFonts:"Ober a ra MathJax gant skeudenno\u00F9 font kentoc'h eget gant fonto\u00F9 web pe fonto\u00F9 lec'hel. Gant se e teu an trao\u00F9 gorrekoc'h war-wel ha marteze ne vo ket ar jedado\u00F9 evit beza\u00F1 moullet diouzh pizhder kloka\u00F1 ho moullerez."}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/FontWarnings.js");
diff --git a/localization/br/HTML-CSS.js b/localization/br/HTML-CSS.js
index 87f13e21bb..6e9ea594ff 100644
--- a/localization/br/HTML-CSS.js
+++ b/localization/br/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/br/HTML-CSS.js
+ *  /MathJax-v2/localization/br/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"O karga\u00F1 ar font web  %1",CantLoadWebFont:"Ne c'haller ket karga\u00F1 ar font web %1",CantFindFontUsing:"Ne c'haller ket kavout ur font dereat e-touez %1",FirefoxCantLoadWebFont:"Ne c'hall ket Firefox karga\u00F1 ar fonto\u00F9 adalek un ostiz a-bell",WebFontsNotAvailable:"N'haller ket kaout ar Fonto\u00F9 web. Ar fonto\u00F9 skeudenn a vo implijet en o flas"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/HTML-CSS.js");
+MathJax.Localization.addTranslation("br","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"O karga\u00F1 ar font web  %1",CantLoadWebFont:"Ne c'haller ket karga\u00F1 ar font web %1",CantFindFontUsing:"Ne c'haller ket kavout ur font dereat e-touez %1",FirefoxCantLoadWebFont:"Ne c'hall ket Firefox karga\u00F1 ar fonto\u00F9 adalek un ostiz a-bell",WebFontsNotAvailable:"N'haller ket kaout ar Fonto\u00F9 web. Ar fonto\u00F9 skeudenn a vo implijet en o flas"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/HTML-CSS.js");
diff --git a/localization/br/HelpDialog.js b/localization/br/HelpDialog.js
index 3954641ec1..8464cef05b 100644
--- a/localization/br/HelpDialog.js
+++ b/localization/br/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/br/HelpDialog.js
+ *  /MathJax-v2/localization/br/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Sikour MathJax",MathJax:"*MathJax* zo ul levraoueg JavaSkript. Ganta\u00F1 e c'hall aozerien ar pajenno\u00F9 enderc'hel jedado\u00F9 en o fajenno\u00F9 Web. Evel lenner n'ho po ket ezhomm d'ober netra evit ma'z aio en-dro.",Browsers:'"Merdeerien": Mont a ra Mathjax en-dro gant an holl verdeerien modern, en ur gonta\u00F1 Explorer 6, Firefox 3, Chrome 0.2, Safari 2, Opera 9.6 hag o stummo\u00F9 kre\u00F1voc\'h, hag ivez an darn vrasa\u00F1 eus ar merdeerio\u00F9 evit hezougello\u00F9 ha tablezenno\u00F9.',Menu:"\"La\u00F1ser Math\" : Ouzhpenna\u00F1 a ra MathJax ul la\u00F1ser kemperzhel  d'ar c'hevatalenno\u00F9. Klikit war bouton deho\u00F9 al logodenn pe klikit war war ne vern peseurt formulenn jedoniezh o terc'hel da boueza\u00F1 war Ktrl evit monet d'al la\u00F1ser.",ShowMath:'Gant "Diskwel ar matematiko\u00F9 evel" e c\'hallot diskwel balizenna\u00F1 tarzh ar jedad evit eila\u00F1-pega\u00F1 (evel MathML pe en e furmad orin).',Settings:"Gant *Arventenno\u00F9\" e c'hallit kontrolla\u00F1 arc'hwelio\u00F9 MathJax, evel ment ar jedado\u00F9, hag ar gwikefre implijet evit diskwel ar c'hevatalenno\u00F9.",Language:"\"Yezh\" a lez ac'hanoc'h da zibab ar yezh implijet gant MathJax evit e la\u00F1serio\u00F9 hag e gemennadurio\u00F9.",Zoom:"*Math zoom*: M'eo diaes deoc'h lenn ur gevatalenn e c'hall MathJax brasaat anezhi evit skoazella\u00F1 ac'hanoc'h da welet anezhi gwelloc'h.",Accessibilty:"*Monedusted*:Mathjad a labouro ent emgefreek gant lennerio\u00F9 skramm evit ma vo aesoc'h d'an dud fall o gweled pledi\u00F1 gant ar jedoniezh.",Fonts:"\"Fonto\u00F9*: gant Mathjax e vo implijet ar fonto\u00F9 jedoniel zo ma vezont staliet en hoc'h urzhiataer ; anez e vo implijet ar fonto\u00F9 kavet war ar Web. Daoust ma n'eo ret, gant ar fonto\u00F9 staliet ent lec'hel e vo buanaet ar c'henaozadur. Alia\u00F1 a reomp ac'hanoc'h da stalia\u00F1 ar [fonto\u00F9 STIX](%1).",CloseDialog:"Serri\u00F1 ar voest kendivizout skoazell"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/HelpDialog.js");
+MathJax.Localization.addTranslation("br","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Sikour MathJax",MathJax:"*MathJax* zo ul levraoueg JavaSkript. Ganta\u00F1 e c'hall aozerien ar pajenno\u00F9 enderc'hel jedado\u00F9 en o fajenno\u00F9 Web. Evel lenner n'ho po ket ezhomm d'ober netra evit ma'z aio en-dro.",Browsers:'"Merdeerien": Mont a ra Mathjax en-dro gant an holl verdeerien modern, en ur gonta\u00F1 Explorer 6, Firefox 3, Chrome 0.2, Safari 2, Opera 9.6 hag o stummo\u00F9 kre\u00F1voc\'h, hag ivez an darn vrasa\u00F1 eus ar merdeerio\u00F9 evit hezougello\u00F9 ha tablezenno\u00F9.',Menu:"\"La\u00F1ser Math\" : Ouzhpenna\u00F1 a ra MathJax ul la\u00F1ser kemperzhel  d'ar c'hevatalenno\u00F9. Klikit war bouton deho\u00F9 al logodenn pe klikit war war ne vern peseurt formulenn jedoniezh o terc'hel da boueza\u00F1 war Ktrl evit monet d'al la\u00F1ser.",ShowMath:'Gant "Diskwel ar matematiko\u00F9 evel" e c\'hallot diskwel balizenna\u00F1 tarzh ar jedad evit eila\u00F1-pega\u00F1 (evel MathML pe en e furmad orin).',Settings:"Gant *Arventenno\u00F9\" e c'hallit kontrolla\u00F1 arc'hwelio\u00F9 MathJax, evel ment ar jedado\u00F9, hag ar gwikefre implijet evit diskwel ar c'hevatalenno\u00F9.",Language:"\"Yezh\" a lez ac'hanoc'h da zibab ar yezh implijet gant MathJax evit e la\u00F1serio\u00F9 hag e gemennadurio\u00F9.",Zoom:"*Math zoom*: M'eo diaes deoc'h lenn ur gevatalenn e c'hall MathJax brasaat anezhi evit skoazella\u00F1 ac'hanoc'h da welet anezhi gwelloc'h.",Accessibilty:"*Monedusted*:Mathjad a labouro ent emgefreek gant lennerio\u00F9 skramm evit ma vo aesoc'h d'an dud fall o gweled pledi\u00F1 gant ar jedoniezh.",Fonts:"\"Fonto\u00F9*: gant Mathjax e vo implijet ar fonto\u00F9 jedoniel zo ma vezont staliet en hoc'h urzhiataer ; anez e vo implijet ar fonto\u00F9 kavet war ar Web. Daoust ma n'eo ret, gant ar fonto\u00F9 staliet ent lec'hel e vo buanaet ar c'henaozadur. Alia\u00F1 a reomp ac'hanoc'h da stalia\u00F1 ar [fonto\u00F9 STIX](%1).",CloseDialog:"Serri\u00F1 ar voest kendivizout skoazell"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/HelpDialog.js");
diff --git a/localization/br/MathML.js b/localization/br/MathML.js
index a86655653d..4d5e3a70eb 100644
--- a/localization/br/MathML.js
+++ b/localization/br/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/br/MathML.js
+ *  /MathJax-v2/localization/br/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"mglyph fall : %1",BadMglyphFont:"Font fall : %1",UnknownNodeType:"Seurt skoulm dianav : %1",UnexpectedTextNode:"Skoulm testenn dic'hortoz : %1",ErrorParsingMathML:"Fazi o tielfenna\u00F1 MathML",ParsingError:"Fazi o ielfenna\u00F1 MathML : %1",MathMLSingleElement:"MathML a rank beza\u00F1 stummet gant un elfenn hepken",MathMLRootElement:"Gant un elfenn \u003Cmath\u003E e rank beza\u00F1 stummet MathML, ha ket gant %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/MathML.js");
+MathJax.Localization.addTranslation("br","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"mglyph fall : %1",BadMglyphFont:"Font fall : %1",UnknownNodeType:"Seurt skoulm dianav : %1",UnexpectedTextNode:"Skoulm testenn dic'hortoz : %1",ErrorParsingMathML:"Fazi o tielfenna\u00F1 MathML",ParsingError:"Fazi o ielfenna\u00F1 MathML : %1",MathMLSingleElement:"MathML a rank beza\u00F1 stummet gant un elfenn hepken",MathMLRootElement:"Gant un elfenn \u003Cmath\u003E e rank beza\u00F1 stummet MathML, ha ket gant %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/MathML.js");
diff --git a/localization/br/MathMenu.js b/localization/br/MathMenu.js
index b4082f0614..a46708f11c 100644
--- a/localization/br/MathMenu.js
+++ b/localization/br/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/br/MathMenu.js
+ *  /MathJax-v2/localization/br/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Diskouez ar formulenn evel",MathMLcode:"Kod MathML",OriginalMathML:"MathML orin",TeXCommands:"Urzhio\u00F9 TeX",Original:"Furmskrid orin",ErrorMessage:"Kemennadenn fazi",Annotation:"Notenn",TeX:"TeX",StarMath:"StarMath",OpenMath:"OpenMath",Settings:"Arventenno\u00F9 ar matematiko\u00F9",Click:"Klika\u00F1",DoubleClick:"Daouglika\u00F1",NoZoom:"Zoum ebet",Option:"Dibarzh",Command:"Urzhiad",Control:"Kontroll",ZoomFactor:"Feur zoum",ForHTMLCSS:"Evit HTML-CSS :",Auto:"Emgefre",TeXLocal:"TeX (lec'hel)",TeXWeb:"TeX (web)",TeXImage:"TeX (skeudenn)",STIXLocal:"STIX (lec'hel)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"La\u00F1ser kemperzhel",Browser:"Merdeer",Locale:"Yezh",LoadLocale:"Karga\u00F1 diwar an URL ...",About:"Diwar-benn MathJax",Help:"Sikour MathJax",wofforotffonts:"fonto\u00F9 woff pe otf",eotffonts:"fonto\u00F9 eot",svgfonts:"Fonto\u00F9 svg",LoadURL:"Karga\u00F1 roadenno\u00F9 trei\u00F1 eus an URL-ma\u00F1 :",Close:"Serri\u00F1",EqSource:"Tarzh kevatalenn MathJax",AsciiMathInput:"Moned AsciiMathML",Maple:"Maple",ContentMathML:"Endalc'h MathML",texHints:"Diskwel ar skoazello\u00F9 Tex e MathML",ZoomTrigger:"Distegner Zoum",TriggerRequires:"An distegner en deus ezhomm :",Alt:"Erl",Shift:"Pennlizherenn",MPHandles:"Lezel MathPlayer da vera\u00F1 :",MenuEvents:"Darvoudo\u00F9 la\u00F1ser",MouseEvents:"Darvoudo\u00F9 logodenn",MenuAndMouse:"Darvoudo\u00F9 logodenn ha la\u00F1serio\u00F9",FontPrefs:"Penndibabo\u00F9 font",Scale:"Lakaat an holl jedado\u00F9 hervez ar skeuliad...",localTeXfonts:"Implijout ar fonto\u00F9 TeX lec'hel",webTeXfonts:"Implijout fonto\u00F9 TeX ar web",imagefonts:"Implijout ar fonto\u00F9 Skeudenn",localSTIXfonts:"Implijout ar fonto\u00F9 STIX lec'hel",webSVGfonts:"Implijout fonto\u00F9 SVG ar web",genericfonts:"Implijout ar fonto\u00F9 Unicode generek",BadData:"C'hwitet eo pellgardadur ar roadenno\u00F9 trei\u00F1 adalek %1",NonZeroScale:"Ne zlefe ket ar skeuliad beza\u00F1 par da zero",PercentScale:"Ar skeuliad a zlefe beza\u00F1 un dregantad (da skouer, 120 %%)",IE8warning:"Se a ziweredekay al la\u00F1ser hag ar arc'hwelio\u00F9 zouma\u00F1. En o flas avat e c'halli klika\u00F1 war ur bomm en ur boueza\u00F1 war ar bouton Alt\n evit kaout al la\u00F1ser MathjAX.",IE9warning:"Diweredekaet e vo al la\u00F1ser kemperzhel MathJax, met en e flas e c'hallot klika\u00F1 war ur bomm o terc'hel da boueza\u00F1 war ar bouton Alt evit kaout al la\u00F1ser MathJax.",NoOriginalForm:"N'haller kaout furmad orin ebet",CloseAboutDialog:"Serri\u00F1 ar voest kendivizout A-zivout MathJax",FastPreview:"Dalberzh prim",InTabOrder:"Enlakaat an urzh an ivinello\u00F9"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/MathMenu.js");
+MathJax.Localization.addTranslation("br","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Diskouez ar formulenn evel",MathMLcode:"Kod MathML",OriginalMathML:"MathML orin",TeXCommands:"Urzhio\u00F9 TeX",Original:"Furmskrid orin",ErrorMessage:"Kemennadenn fazi",Annotation:"Notenn",TeX:"TeX",StarMath:"StarMath",OpenMath:"OpenMath",Settings:"Arventenno\u00F9 ar matematiko\u00F9",Click:"Klika\u00F1",DoubleClick:"Daouglika\u00F1",NoZoom:"Zoum ebet",Option:"Dibarzh",Command:"Urzhiad",Control:"Kontroll",ZoomFactor:"Feur zoum",ForHTMLCSS:"Evit HTML-CSS :",Auto:"Emgefre",TeXLocal:"TeX (lec'hel)",TeXWeb:"TeX (web)",TeXImage:"TeX (skeudenn)",STIXLocal:"STIX (lec'hel)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"La\u00F1ser kemperzhel",Browser:"Merdeer",Locale:"Yezh",LoadLocale:"Karga\u00F1 diwar an URL ...",About:"Diwar-benn MathJax",Help:"Sikour MathJax",wofforotffonts:"fonto\u00F9 woff pe otf",eotffonts:"fonto\u00F9 eot",svgfonts:"Fonto\u00F9 svg",LoadURL:"Karga\u00F1 roadenno\u00F9 trei\u00F1 eus an URL-ma\u00F1 :",Close:"Serri\u00F1",EqSource:"Tarzh kevatalenn MathJax",AsciiMathInput:"Moned AsciiMathML",Maple:"Maple",ContentMathML:"Endalc'h MathML",texHints:"Diskwel ar skoazello\u00F9 Tex e MathML",ZoomTrigger:"Distegner Zoum",TriggerRequires:"An distegner en deus ezhomm :",Alt:"Erl",Shift:"Pennlizherenn",MPHandles:"Lezel MathPlayer da vera\u00F1 :",MenuEvents:"Darvoudo\u00F9 la\u00F1ser",MouseEvents:"Darvoudo\u00F9 logodenn",MenuAndMouse:"Darvoudo\u00F9 logodenn ha la\u00F1serio\u00F9",FontPrefs:"Penndibabo\u00F9 font",Scale:"Lakaat an holl jedado\u00F9 hervez ar skeuliad...",localTeXfonts:"Implijout ar fonto\u00F9 TeX lec'hel",webTeXfonts:"Implijout fonto\u00F9 TeX ar web",imagefonts:"Implijout ar fonto\u00F9 Skeudenn",localSTIXfonts:"Implijout ar fonto\u00F9 STIX lec'hel",webSVGfonts:"Implijout fonto\u00F9 SVG ar web",genericfonts:"Implijout ar fonto\u00F9 Unicode generek",BadData:"C'hwitet eo pellgardadur ar roadenno\u00F9 trei\u00F1 adalek %1",NonZeroScale:"Ne zlefe ket ar skeuliad beza\u00F1 par da zero",PercentScale:"Ar skeuliad a zlefe beza\u00F1 un dregantad (da skouer, 120 %%)",IE8warning:"Se a ziweredekay al la\u00F1ser hag ar arc'hwelio\u00F9 zouma\u00F1. En o flas avat e c'halli klika\u00F1 war ur bomm en ur boueza\u00F1 war ar bouton Alt\n evit kaout al la\u00F1ser MathjAX.",IE9warning:"Diweredekaet e vo al la\u00F1ser kemperzhel MathJax, met en e flas e c'hallot klika\u00F1 war ur bomm o terc'hel da boueza\u00F1 war ar bouton Alt evit kaout al la\u00F1ser MathJax.",NoOriginalForm:"N'haller kaout furmad orin ebet",CloseAboutDialog:"Serri\u00F1 ar voest kendivizout A-zivout MathJax",FastPreview:"Dalberzh prim",InTabOrder:"Enlakaat an urzh an ivinello\u00F9"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/MathMenu.js");
diff --git a/localization/br/TeX.js b/localization/br/TeX.js
index 9a49f7c85c..1ae618d0c7 100644
--- a/localization/br/TeX.js
+++ b/localization/br/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/br/TeX.js
+ *  /MathJax-v2/localization/br/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Briataenn digeri\u00F1 a re pe briataenn serri\u00F1 diank",ExtraCloseMissingOpen:"Briataenn serri\u00F1 a re pe briataenn digeri\u00F1 diank",MissingLeftExtraRight:"\\left diank pe \\right a re",ExtraLeftMissingRight:"\\left a re pe \\right diank",Misplaced:"%1 lec'hiet fall",AmbiguousUseOf:"Implij forc'hellek eus %1",EnvBadEnd:"\\begin{%1} zo echuet gant \\end{%2}",EnvMissingEnd:"\\end{%1} a vank",MissingBoxFor:"Ar voest a vank evit %1",MissingCloseBrace:"Ar vriataenn serri\u00F1 a vank",MisplacedMiddle:"%1 a rank beza\u00F1 e-barzh \\left ha \\right",MisplacedMoveRoot:"%1 ne c'hall beza\u00F1 nemet e-barzh ur wrizienn",MultipleCommand:"Meur a %1",IntegerArg:"Arguzenn %1 a rank beza\u00F1 un niver anterin",InvalidMathMLAttr:"Doareenn MathML direizh : %1",MissingArgFor:"Arguzenn diank evit %1",InvalidEnv:'Anv endro "%1" direizh',UnknownEnv:'endro dianav "%1"',TokenNotFoundForCommand:"N'eus ket bet gallet kavout %1 evit %2",MathNotTerminated:"Formulenn diechu er voest testenn",CommandNotAllowedInEnv:"%1 n'eo ket aotreet en endro %2",MultipleLabel:"Label '%1' termenet meur a wech",CommandAtTheBeginingOfLine:"%1 a rank beza\u00F1 e dero\u00F9 al linenn",BadMathStyleFor:"Stil matematikel direizh evit %1",PositiveIntegerArg:"Arguzenn %1 a rank beza\u00F1 un niver pozitivel anterin",MultlineRowsOneCol:"Ar renko\u00F9 e-barzh an endro %1 a rank kaout ur bann dres",MultipleBBoxProperty:"%1 diferet div wech e-barzh %2",ExtraEndMissingBegin:"%1 a re pe \\begingroup diank",GlobalNotFollowedBy:"%1 n'eo ket heuliet gant \\let, \\def, pe \\newcommand",UndefinedColorModel:'N\'eo ket termenet patrom liv "%1"',InvalidDecimalNumber:"Niver degel direizh",InvalidNumber:"Niver direizh",NewextarrowArg2:"Eil arguzenn %1 a rank beza\u00F1 daou niver anterin dispartiet gant ur virgulenn",NewextarrowArg3:"Trede arguzenn %1 a rank beza\u00F1 un niverenn arouezenn unicode",NoClosingChar:"Ne c'haller ket kavout an %1 serri\u00F1",CantUseHash2:"Implij direizh eus # er patrom evit %1",MismatchUseDef:"An implij eus %1 ne glot ket gant an termenadur anezha\u00F1",RunawayArgument:"Arguzenn diechu evit %1 ?",NoClosingDelim:"Ne c'haller ket kavout ur bevenner serri\u00F1 evit %1",MissingScript:"Arguzenn en usskrid pe en isskrid a vank",MissingOpenForSub:"Briataenn digeri\u00F1 a vank evit ar skrid en isskrid",MissingOpenForSup:"Briataenn digeri\u00F1 a vank evit ar skrid en usskrid",UndefinedControlSequence:"An urzh kontrolla\u00F1 %1 n'eo ket termenet",DoubleExponent:"Usskrid doubl : implijit briataenno\u00F9 evit sklaeraat",DoubleSubscripts:"Isskrid double : implijit briataenno\u00F9 evit sklaeraat",CantUseHash1:"Ne c'hallit ket implijout an arouezenn # er mod jedoniezh",MisplacedLimits:"N'eo aotreet an urzh %1 nemet gant an oberataerio\u00F9",NotMathMLToken:"N'eo ket an elfenn %1 un elfenn MathML elfennel",UnknownAttrForElement:"Dianav eo an doareenn %1 d'an elfenn %2",ExtraAlignTab:"Arouezenn steuda\u00F1 '\u0026' dic'hortoz evit testenn an urzh /cases",BracketMustBeDimension:"An argutezenn etre krochedo\u00F9 an urzh %1 a rank beza\u00F1 ur vent",ExtraCloseLooking:"Briataenn serri\u00F1 dic'hortoz pa'z eo bet enklasket %1",MissingCloseBracket:"Ne c'haller ket kavout ']' evit arguzenn an urzh %1",MissingOrUnrecognizedDelim:"Ar bevenner a vank pe n'eo ket anavezet gant an urzh %1",MissingDimOrUnits:"Ar Vent pe an unvez a vank evit an urzh %1",IllegalMacroParam:"N'eo ket aotreet an arventenn dave makro",IllegalAlign:"N'eo ket aotreet ar steudad evit an urzh %1",ErroneousNestingEq:"Empradur direizh ar frammo\u00F9 kevatalenno\u00F9",InvalidBBoxProperty:"Seblantout a ra n'eo ket an talvoud '%1' ul liv, ur ment marz bihanoc'h pe ur stil.",ModelArg1:"An talvoudo\u00F9 livio\u00F9 evit ar patrom %1 o deus ezhomm eus 3 niverenn",ModelArg2:"An talvoudo\u00F9 livio\u00F9 evit ar patrom %1 a rank beza\u00F1 etre %2 ha %3",NewextarrowArg1:"Arguzenn genta\u00F1 an urzhiad %1 a rank beza\u00F1 anv ur seka\u00F1s kontrolla\u00F1",IllegalControlSequenceName:"N'eo ket aotreet anv ar c'hontroll seka\u00F1s evit an urzh %1",IllegalParamNumber:"Niver direizh a arventenno\u00F9 evit an urzh %1",MissingCS:"%1 a rank beza\u00F1 heuliet gant ur seka\u00F1s kontrolla\u00F1",MissingReplacementString:"Ar chadennad arouezenno\u00F9 erlec'hia\u00F1 a vank evit an termenadur %1.",DoubleExponentPrime:"Un ask a zegas un usskrid doubl : implijit briataenno\u00F9 evit sklaeraat"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/TeX.js");
+MathJax.Localization.addTranslation("br","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Briataenn digeri\u00F1 a re pe briataenn serri\u00F1 diank",ExtraCloseMissingOpen:"Briataenn serri\u00F1 a re pe briataenn digeri\u00F1 diank",MissingLeftExtraRight:"\\left diank pe \\right a re",ExtraLeftMissingRight:"\\left a re pe \\right diank",Misplaced:"%1 lec'hiet fall",AmbiguousUseOf:"Implij forc'hellek eus %1",EnvBadEnd:"\\begin{%1} zo echuet gant \\end{%2}",EnvMissingEnd:"\\end{%1} a vank",MissingBoxFor:"Ar voest a vank evit %1",MissingCloseBrace:"Ar vriataenn serri\u00F1 a vank",MisplacedMiddle:"%1 a rank beza\u00F1 e-barzh \\left ha \\right",MisplacedMoveRoot:"%1 ne c'hall beza\u00F1 nemet e-barzh ur wrizienn",MultipleCommand:"Meur a %1",IntegerArg:"Arguzenn %1 a rank beza\u00F1 un niver anterin",InvalidMathMLAttr:"Doareenn MathML direizh : %1",MissingArgFor:"Arguzenn diank evit %1",InvalidEnv:'Anv endro "%1" direizh',UnknownEnv:'endro dianav "%1"',TokenNotFoundForCommand:"N'eus ket bet gallet kavout %1 evit %2",MathNotTerminated:"Formulenn diechu er voest testenn",CommandNotAllowedInEnv:"%1 n'eo ket aotreet en endro %2",MultipleLabel:"Label '%1' termenet meur a wech",CommandAtTheBeginingOfLine:"%1 a rank beza\u00F1 e dero\u00F9 al linenn",BadMathStyleFor:"Stil matematikel direizh evit %1",PositiveIntegerArg:"Arguzenn %1 a rank beza\u00F1 un niver pozitivel anterin",MultlineRowsOneCol:"Ar renko\u00F9 e-barzh an endro %1 a rank kaout ur bann dres",MultipleBBoxProperty:"%1 diferet div wech e-barzh %2",ExtraEndMissingBegin:"%1 a re pe \\begingroup diank",GlobalNotFollowedBy:"%1 n'eo ket heuliet gant \\let, \\def, pe \\newcommand",UndefinedColorModel:'N\'eo ket termenet patrom liv "%1"',InvalidDecimalNumber:"Niver degel direizh",InvalidNumber:"Niver direizh",NewextarrowArg2:"Eil arguzenn %1 a rank beza\u00F1 daou niver anterin dispartiet gant ur virgulenn",NewextarrowArg3:"Trede arguzenn %1 a rank beza\u00F1 un niverenn arouezenn unicode",NoClosingChar:"Ne c'haller ket kavout an %1 serri\u00F1",CantUseHash2:"Implij direizh eus # er patrom evit %1",MismatchUseDef:"An implij eus %1 ne glot ket gant an termenadur anezha\u00F1",RunawayArgument:"Arguzenn diechu evit %1 ?",NoClosingDelim:"Ne c'haller ket kavout ur bevenner serri\u00F1 evit %1",MissingScript:"Arguzenn en usskrid pe en isskrid a vank",MissingOpenForSub:"Briataenn digeri\u00F1 a vank evit ar skrid en isskrid",MissingOpenForSup:"Briataenn digeri\u00F1 a vank evit ar skrid en usskrid",UndefinedControlSequence:"An urzh kontrolla\u00F1 %1 n'eo ket termenet",DoubleExponent:"Usskrid doubl : implijit briataenno\u00F9 evit sklaeraat",DoubleSubscripts:"Isskrid double : implijit briataenno\u00F9 evit sklaeraat",CantUseHash1:"Ne c'hallit ket implijout an arouezenn # er mod jedoniezh",MisplacedLimits:"N'eo aotreet an urzh %1 nemet gant an oberataerio\u00F9",NotMathMLToken:"N'eo ket an elfenn %1 un elfenn MathML elfennel",UnknownAttrForElement:"Dianav eo an doareenn %1 d'an elfenn %2",ExtraAlignTab:"Arouezenn steuda\u00F1 '\u0026' dic'hortoz evit testenn an urzh /cases",BracketMustBeDimension:"An argutezenn etre krochedo\u00F9 an urzh %1 a rank beza\u00F1 ur vent",ExtraCloseLooking:"Briataenn serri\u00F1 dic'hortoz pa'z eo bet enklasket %1",MissingCloseBracket:"Ne c'haller ket kavout ']' evit arguzenn an urzh %1",MissingOrUnrecognizedDelim:"Ar bevenner a vank pe n'eo ket anavezet gant an urzh %1",MissingDimOrUnits:"Ar Vent pe an unvez a vank evit an urzh %1",IllegalMacroParam:"N'eo ket aotreet an arventenn dave makro",IllegalAlign:"N'eo ket aotreet ar steudad evit an urzh %1",ErroneousNestingEq:"Empradur direizh ar frammo\u00F9 kevatalenno\u00F9",InvalidBBoxProperty:"Seblantout a ra n'eo ket an talvoud '%1' ul liv, ur ment marz bihanoc'h pe ur stil.",ModelArg1:"An talvoudo\u00F9 livio\u00F9 evit ar patrom %1 o deus ezhomm eus 3 niverenn",ModelArg2:"An talvoudo\u00F9 livio\u00F9 evit ar patrom %1 a rank beza\u00F1 etre %2 ha %3",NewextarrowArg1:"Arguzenn genta\u00F1 an urzhiad %1 a rank beza\u00F1 anv ur seka\u00F1s kontrolla\u00F1",IllegalControlSequenceName:"N'eo ket aotreet anv ar c'hontroll seka\u00F1s evit an urzh %1",IllegalParamNumber:"Niver direizh a arventenno\u00F9 evit an urzh %1",MissingCS:"%1 a rank beza\u00F1 heuliet gant ur seka\u00F1s kontrolla\u00F1",MissingReplacementString:"Ar chadennad arouezenno\u00F9 erlec'hia\u00F1 a vank evit an termenadur %1.",DoubleExponentPrime:"Un ask a zegas un usskrid doubl : implijit briataenno\u00F9 evit sklaeraat"}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/TeX.js");
diff --git a/localization/br/br.js b/localization/br/br.js
index 62f9d53c3e..d848fb08e6 100644
--- a/localization/br/br.js
+++ b/localization/br/br.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/br/br.js
+ *  /MathJax-v2/localization/br/br.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("br",null,{menuTitle:"brezhoneg",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Fazi o treta\u00F1 ar formulenn",MathError:"Fazi er formulenn",LoadFile:"O karga\u00F1 %1",Loading:"O karga\u00F1",LoadFailed:"N'eus ket bet gallet karga\u00F1 %1",ProcessMath:"Treta\u00F1 ar formulenno\u00F9 : %1%%",Processing:"O treta\u00F1",TypesetMath:"Aoza\u00F1 formulenno\u00F9 : %1%%",Typesetting:"Aoza\u00F1",MathJaxNotSupported:"Ne c'hall ket ho merdeer ober gant MathJax",ErrorTips:"Alio\u00F9 dizreina\u00F1 : implijout %%1, ensellet %%2, e letrin ar merdeer"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&!(a%100===11||a%100===71||a%100===91)){return 1}if(a%10===2&&!(a%100===12||a%100===72||a%100===92)){return 2}if((a%10===3||a%10===4||a%10===9)&&!(10<=a%100&&a%100<=19||70<=a%100&&a%100<=79||90<=a%100&&a%100<=99)){return 3}if(a!==0&&a%1000000===0){return 4}return 5},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/br.js");
+MathJax.Localization.addTranslation("br",null,{menuTitle:"brezhoneg",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"Fazi o treta\u00F1 ar formulenn",MathError:"Fazi er formulenn",LoadFile:"O karga\u00F1 %1",Loading:"O karga\u00F1",LoadFailed:"N'eus ket bet gallet karga\u00F1 %1",ProcessMath:"Treta\u00F1 ar formulenno\u00F9 : %1%%",Processing:"O treta\u00F1",TypesetMath:"Aoza\u00F1 formulenno\u00F9 : %1%%",Typesetting:"Aoza\u00F1",MathJaxNotSupported:"Ne c'hall ket ho merdeer ober gant MathJax",ErrorTips:"Alio\u00F9 dizreina\u00F1 : implijout %%1, ensellet %%2, e letrin ar merdeer"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&!(a%100===11||a%100===71||a%100===91)){return 1}if(a%10===2&&!(a%100===12||a%100===72||a%100===92)){return 2}if((a%10===3||a%10===4||a%10===9)&&!(10<=a%100&&a%100<=19||70<=a%100&&a%100<=79||90<=a%100&&a%100<=99)){return 3}if(a!==0&&a%1000000===0){return 4}return 5},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/br/br.js");
diff --git a/localization/ca/FontWarnings.js b/localization/ca/FontWarnings.js
index f74d5915fb..f890246fb9 100644
--- a/localization/ca/FontWarnings.js
+++ b/localization/ca/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ca/FontWarnings.js
+ *  /MathJax-v2/localization/ca/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ca","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax est\u00E0 utilitzant fonts basades en web per mostrar les expressions matem\u00E0tiques d'aquesta p\u00E0gina. Aix\u00F2 porta un temps per descarregar, de tal manera que la p\u00E0gina es mostrar\u00E0 m\u00E9s r\u00E0pidament si instal\u00B7leu les fonts matem\u00E0tiques directament a la vostra carpeta de sistema de fonts.",imageFonts:"MathJaz est\u00E0 utilitzant les seves fonts d'imatge en comptes de fonts locals o basades en web. Aix\u00F2 pot fer que la composici\u00F3 de la p\u00E0gina sigui m\u00E9s lenta que l'habitual, i les expressions matem\u00E0tiques poden no imprimir-se a resoluci\u00F3 completa en la vostra impressora.",noFonts:"MathJax no pot localitzar una font per a utilitzar-la a l'hora de mostrar les expressions matem\u00E0tiques, de tal manera que es recolza en car\u00E0cters Unicode gen\u00E8rics, amb el sup\u00F2sit que el vostre navegador ser\u00E0 capa\u00E7 de mostrar-les. Alguns car\u00E0cters poden no mostrar-se correctament, o fins i tot poden no mostrar-se en absolut.",webFonts:"La majoria de navegadors moderns permeten la desc\u00E0rrega de les fonts. Si actualitzeu a una versi\u00F3 m\u00E9s nova del vostre navegador (o si canvieu de navegador) podreu millorar la qualitat de les expressions matem\u00E0tiques d'aquesta p\u00E0gina.",fonts:"MathJax pot utilitzar tant les [fonts STIX](%1) com les [fonts TeX MathJax](%2). Descarregueu i instal\u00B7leu una d'aquestes fonts per millorar la vostra experi\u00E8ncia MathJax.",STIXPage:"Aquesta p\u00E0gina est\u00E0 dissenyada per usar les [fonts STIX](%1). Descarregueu i instal\u00B7leu aquestes fonts per millorar la vostra experi\u00E8ncia MathJax.",TeXPage:"Aquesta p\u00E0gina est\u00E0 dissenyada per usar les [fonts TeX MathJax](%1). Descarregueu i instal\u00B7leu aquestes fonts per millorar la vostra experi\u00E8ncia MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/FontWarnings.js");
+MathJax.Localization.addTranslation("ca","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax est\u00E0 utilitzant fonts basades en web per mostrar les expressions matem\u00E0tiques d'aquesta p\u00E0gina. Aix\u00F2 porta un temps per descarregar, de tal manera que la p\u00E0gina es mostrar\u00E0 m\u00E9s r\u00E0pidament si instal\u00B7leu les fonts matem\u00E0tiques directament a la vostra carpeta de sistema de fonts.",imageFonts:"MathJaz est\u00E0 utilitzant les seves fonts d'imatge en comptes de fonts locals o basades en web. Aix\u00F2 pot fer que la composici\u00F3 de la p\u00E0gina sigui m\u00E9s lenta que l'habitual, i les expressions matem\u00E0tiques poden no imprimir-se a resoluci\u00F3 completa en la vostra impressora.",noFonts:"MathJax no pot localitzar una font per a utilitzar-la a l'hora de mostrar les expressions matem\u00E0tiques, de tal manera que es recolza en car\u00E0cters Unicode gen\u00E8rics, amb el sup\u00F2sit que el vostre navegador ser\u00E0 capa\u00E7 de mostrar-les. Alguns car\u00E0cters poden no mostrar-se correctament, o fins i tot poden no mostrar-se en absolut.",webFonts:"La majoria de navegadors moderns permeten la desc\u00E0rrega de les fonts. Si actualitzeu a una versi\u00F3 m\u00E9s nova del vostre navegador (o si canvieu de navegador) podreu millorar la qualitat de les expressions matem\u00E0tiques d'aquesta p\u00E0gina.",fonts:"MathJax pot utilitzar tant les [fonts STIX](%1) com les [fonts TeX MathJax](%2). Descarregueu i instal\u00B7leu una d'aquestes fonts per millorar la vostra experi\u00E8ncia MathJax.",STIXPage:"Aquesta p\u00E0gina est\u00E0 dissenyada per usar les [fonts STIX](%1). Descarregueu i instal\u00B7leu aquestes fonts per millorar la vostra experi\u00E8ncia MathJax.",TeXPage:"Aquesta p\u00E0gina est\u00E0 dissenyada per usar les [fonts TeX MathJax](%1). Descarregueu i instal\u00B7leu aquestes fonts per millorar la vostra experi\u00E8ncia MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/FontWarnings.js");
diff --git a/localization/ca/HTML-CSS.js b/localization/ca/HTML-CSS.js
index 8693e7d357..a9f13bf5a8 100644
--- a/localization/ca/HTML-CSS.js
+++ b/localization/ca/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ca/HTML-CSS.js
+ *  /MathJax-v2/localization/ca/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ca","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Carregant font web %1",CantLoadWebFont:"No es pot carregar la font web %1",FirefoxCantLoadWebFont:"Firefox no pot carregar fonts web des d'un servidor remot",CantFindFontUsing:"No es pot trobar una font v\u00E0lida usant %1",WebFontsNotAvailable:"Fonts web no disponibles. S'estan usant fonts d'imatge"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/HTML-CSS.js");
+MathJax.Localization.addTranslation("ca","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Carregant font web %1",CantLoadWebFont:"No es pot carregar la font web %1",FirefoxCantLoadWebFont:"Firefox no pot carregar fonts web des d'un servidor remot",CantFindFontUsing:"No es pot trobar una font v\u00E0lida usant %1",WebFontsNotAvailable:"Fonts web no disponibles. S'estan usant fonts d'imatge"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/HTML-CSS.js");
diff --git a/localization/ca/HelpDialog.js b/localization/ca/HelpDialog.js
index 4b886bfb51..5b5af87f3c 100644
--- a/localization/ca/HelpDialog.js
+++ b/localization/ca/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ca/HelpDialog.js
+ *  /MathJax-v2/localization/ca/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ca","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Ajuda MathJax",MathJax:"*MathJax* \u00E9s una llibreria JavaScript que permet als autors de p\u00E0gines incloure expressions matem\u00E0tiques a les seves p\u00E0gines web. Com a lector, no necessiteu res perqu\u00E8 pugueu visualitzar la p\u00E0gina.",Browsers:"*Navegadors*: MathJax funciona amb tots els navegadors moderns, incloent IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ i la majoria de navegadors m\u00F2bils.",Menu:"*Men\u00FA matem\u00E0tiques*: MathJax afegeix un men\u00FA contextual a les equacions. Feu clic amb el bot\u00F3 dret, o Ctrl-clic, sobre qualsevol f\u00F3rmula per accedir al men\u00FA.",ShowMath:"*Mostra f\u00F3rmula com a* us permet visualitzar el codi font de la f\u00F3rmula, per tal que pugueu copiar i enganxar (en format MathML o en el seu format original).",Settings:"*Configuraci\u00F3* us permet controlar diverses caracter\u00EDstiques de MathJax, com la mida de les f\u00F3rmules, i el mecanisme emprat per visualitzar les equacions.",Language:"*Idioma* us permet seleccionar l'idioma emprat per MathJax en els seus men\u00FAs i missatges d'advert\u00E8ncia.",Zoom:"*Zoom*: Si teniu dificultats a l'hora de llegir una equaci\u00F3, MathJax pot ampliar-la per ajudar-vos a veure-la millor.",Accessibilty:"*Accessibilitat*: MathJax funciona autom\u00E0ticament amb lectors de pantalla, per a fer les expressions matem\u00E0tiques accessibles a aquells que tenen dificultats de visi\u00F3.",Fonts:"*Fonts*: MathJax usa algunes fonts matem\u00E0tiques si estan instal\u00B7lades al vostre ordinador; si no les hi troba, usar\u00E0 fonts basades en la web. Encara que no \u00E9s necessari, si instal\u00B7leu les fonts localment, aix\u00F2i ajudar\u00E0 a qu\u00E8 la composici\u00F3 de la p\u00E0gina sigui m\u00E9s r\u00E0pida. Us suggerim que instal\u00B7leu les [fonts STIX](%1).",CloseDialog:"Tanca el di\u00E0leg d'ajuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/HelpDialog.js");
+MathJax.Localization.addTranslation("ca","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Ajuda MathJax",MathJax:"*MathJax* \u00E9s una llibreria JavaScript que permet als autors de p\u00E0gines incloure expressions matem\u00E0tiques a les seves p\u00E0gines web. Com a lector, no necessiteu res perqu\u00E8 pugueu visualitzar la p\u00E0gina.",Browsers:"*Navegadors*: MathJax funciona amb tots els navegadors moderns, incloent IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ i la majoria de navegadors m\u00F2bils.",Menu:"*Men\u00FA matem\u00E0tiques*: MathJax afegeix un men\u00FA contextual a les equacions. Feu clic amb el bot\u00F3 dret, o Ctrl-clic, sobre qualsevol f\u00F3rmula per accedir al men\u00FA.",ShowMath:"*Mostra f\u00F3rmula com a* us permet visualitzar el codi font de la f\u00F3rmula, per tal que pugueu copiar i enganxar (en format MathML o en el seu format original).",Settings:"*Configuraci\u00F3* us permet controlar diverses caracter\u00EDstiques de MathJax, com la mida de les f\u00F3rmules, i el mecanisme emprat per visualitzar les equacions.",Language:"*Idioma* us permet seleccionar l'idioma emprat per MathJax en els seus men\u00FAs i missatges d'advert\u00E8ncia.",Zoom:"*Zoom*: Si teniu dificultats a l'hora de llegir una equaci\u00F3, MathJax pot ampliar-la per ajudar-vos a veure-la millor.",Accessibilty:"*Accessibilitat*: MathJax funciona autom\u00E0ticament amb lectors de pantalla, per a fer les expressions matem\u00E0tiques accessibles a aquells que tenen dificultats de visi\u00F3.",Fonts:"*Fonts*: MathJax usa algunes fonts matem\u00E0tiques si estan instal\u00B7lades al vostre ordinador; si no les hi troba, usar\u00E0 fonts basades en la web. Encara que no \u00E9s necessari, si instal\u00B7leu les fonts localment, aix\u00F2i ajudar\u00E0 a qu\u00E8 la composici\u00F3 de la p\u00E0gina sigui m\u00E9s r\u00E0pida. Us suggerim que instal\u00B7leu les [fonts STIX](%1).",CloseDialog:"Tanca el di\u00E0leg d'ajuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/HelpDialog.js");
diff --git a/localization/ca/MathML.js b/localization/ca/MathML.js
index 7d57492322..4071acaa54 100644
--- a/localization/ca/MathML.js
+++ b/localization/ca/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ca/MathML.js
+ *  /MathJax-v2/localization/ca/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ca","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Mglyph incorrecte: %1",BadMglyphFont:"Font incorrecta: %1",MathPlayer:"MathJax no ha pogut configurar MathPlayer.\n\nSi MathPlayer no est\u00E0 instal\u00B7lat, necessiteu instal\u00B7lar-lo pr\u00E8viament. Altrament, pot ser que la vostra configuraci\u00F3 de seguretat estigui blocant l'execuci\u00F3 de controls ActiveX. Useu el men\u00FA Opcions d'Internet dins el men\u00FA Eines i seleccioneu la pestanya Seguretat, i llavors premeu el bot\u00F3 Nivell Personalitzat. Assegureu-vos que les configuracions per 'Executar Controls ActiveX' i 'Comportaments binari i script' estan activades.\n\nDe moment veureu missatges d'error en comptes de f\u00F3rmules matem\u00E0tiques.",CantCreateXMLParser:"MathJax no pot crear un analitzador XML per MathML. Comproveu que la configuraci\u00F3 de seguretat 'Controls de script ActiveX marcats segurs per scripting' est\u00E0 marcada (aneu a l'opci\u00F3 Opcions d'Internet dins el men\u00FA Eines, i seleccioneu el panell de Seguretat; despr\u00E9s, cliqueu el bot\u00F3 Nivell Personalitzat per activar aquesta configuraci\u00F3).\n\nLes equacions MathML no podran ser processades per MathJax",UnknownNodeType:"Tipus de node desconegut: %1",UnexpectedTextNode:"Node de text inesperat: %1",ErrorParsingMathML:"Error d'an\u00E0lisi MathML",ParsingError:"Error d'an\u00E0lisi MathML: %1",MathMLSingleElement:"MathML ha d'estar format per un sol element",MathMLRootElement:"MathML ha d'estar format per un element \u003Cmath\u003E, no per %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/MathML.js");
+MathJax.Localization.addTranslation("ca","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"Mglyph incorrecte: %1",BadMglyphFont:"Font incorrecta: %1",MathPlayer:"MathJax no ha pogut configurar MathPlayer.\n\nSi MathPlayer no est\u00E0 instal\u00B7lat, necessiteu instal\u00B7lar-lo pr\u00E8viament. Altrament, pot ser que la vostra configuraci\u00F3 de seguretat estigui blocant l'execuci\u00F3 de controls ActiveX. Useu el men\u00FA Opcions d'Internet dins el men\u00FA Eines i seleccioneu la pestanya Seguretat, i llavors premeu el bot\u00F3 Nivell Personalitzat. Assegureu-vos que les configuracions per 'Executar Controls ActiveX' i 'Comportaments binari i script' estan activades.\n\nDe moment veureu missatges d'error en comptes de f\u00F3rmules matem\u00E0tiques.",CantCreateXMLParser:"MathJax no pot crear un analitzador XML per MathML. Comproveu que la configuraci\u00F3 de seguretat 'Controls de script ActiveX marcats segurs per scripting' est\u00E0 marcada (aneu a l'opci\u00F3 Opcions d'Internet dins el men\u00FA Eines, i seleccioneu el panell de Seguretat; despr\u00E9s, cliqueu el bot\u00F3 Nivell Personalitzat per activar aquesta configuraci\u00F3).\n\nLes equacions MathML no podran ser processades per MathJax",UnknownNodeType:"Tipus de node desconegut: %1",UnexpectedTextNode:"Node de text inesperat: %1",ErrorParsingMathML:"Error d'an\u00E0lisi MathML",ParsingError:"Error d'an\u00E0lisi MathML: %1",MathMLSingleElement:"MathML ha d'estar format per un sol element",MathMLRootElement:"MathML ha d'estar format per un element \u003Cmath\u003E, no per %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/MathML.js");
diff --git a/localization/ca/MathMenu.js b/localization/ca/MathMenu.js
index d42bb19f3a..988e443480 100644
--- a/localization/ca/MathMenu.js
+++ b/localization/ca/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ca/MathMenu.js
+ *  /MathJax-v2/localization/ca/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ca","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Mostra f\u00F3rmules com a",MathMLcode:"Codi MathML",OriginalMathML:"MathML original",TeXCommands:"Comands TeX",AsciiMathInput:"Entrada de AsciiMathML",Original:"Forma original",ErrorMessage:"Missatge d'error",Annotation:"Anotaci\u00F3",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Contingut MathML",OpenMath:"OpenMath",texHints:"Mostra ajudes TeX en MathML",Settings:"Configuraci\u00F3 de MathML",ZoomTrigger:"Control de zoom",Hover:"Passar el ratol\u00ED per sobre",Click:"Clic",DoubleClick:"Doble-clic",NoZoom:"Sense zoom",TriggerRequires:"El control requereix:",Option:"Opci\u00F3",Alt:"Alt",Command:"Comand",Control:"Control",Shift:"Maj\u00FAscules",ZoomFactor:"Factor de zoom",Renderer:"Processador de f\u00F3rmules",MPHandles:"Permetre que MathPlayer controli:",MenuEvents:"Events de men\u00FA",MouseEvents:"Events de ratol\u00ED",MenuAndMouse:"Events de ratol\u00ED i de men\u00FA",FontPrefs:"Prefer\u00E8ncies de font",ForHTMLCSS:"Per HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imatge)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contextual",Browser:"Navegador",Scale:"Escalar totes les f\u00F3mules...",Discoverable:"Iluminar quan el ratol\u00ED passi per sobre",Locale:"Idioma",LoadLocale:"Carrega des de l'URL...",About:"Sobre MathJax",Help:"Ajuda de MathJax",localTeXfonts:"usar fonts TeX locals",webTeXfonts:"usar font web TeX",imagefonts:"usar fonts d'imatge",localSTIXfonts:"usar fonts STIX locals",webSVGfonts:"usar fonts SVG web",genericfonts:"usar fonts gen\u00E8riques Unicode",wofforotffonts:"fonts WOFF o OTF",eotffonts:"fonts EOT",svgfonts:"fonts SVG",WebkitNativeMMLWarning:"Sembla que el vostre navegador no permet MathML de forma nativa; si canvieu a la visualitzaci\u00F3 MathML pot ser que les f\u00F3rmules de la p\u00E0gina no es puguin llegir correctament",MSIENativeMMLWarning:"Internet Explorer requereix el plugin MathPlayer per processar el resultat de MathML",OperaNativeMMLWarning:"El suport d'Opera per MathML \u00E9s limitat; si canvieu a la visualitzaci\u00F3 MathML pot ser que algunes expressions no es visualitzin correctament.",SafariNativeMMLWarning:"El MathML del vostre navegador no implementa totes les caracter\u00EDstiques usades per MathJax; algunes expressions poden no visualitzar-se correctament.",FirefoxNativeMMLWarning:"El MathML del vostre navegador no implementa totes les caracter\u00EDstiques usades per MathJax; algunes expressions poden no visualitzar-se correctament.",MSIESVGWarning:"SVG no est\u00E0 implementat en Internet Explorer anterior a IE9 o quan est\u00E0 emulant IE8 o anterior. Si canvieu a visualitzaci\u00F3 SVG, les f\u00F3rmules no es visualitzaran correctament.",LoadURL:"Carregar les dades de traducci\u00F3 d'aquesta URL:",BadURL:"La URL ha de ser per un arxiu JavaScript que defineixi les dades de traducci\u00F3 per MathJax. Els noms d'arxius JavaScript han de finalitzar amb '.js'",BadData:"No s'han pogut carregar les dades de traducci\u00F3 des de %1",SwitchAnyway:"Canviar la visualitzaci\u00F3 de totes maneres?\n\n(Premeu Acceptar per canviar, Cancel\u00B7lar per continuar amb la visualitzaci\u00F3 actual)",ScaleMath:"Escalar totes les f\u00F3rmules (en comparaci\u00F3 amb el text adjacent) per",NonZeroScale:"L'escalat no pot ser zero",PercentScale:"L'escalat ha de ser un percentatge (per exemple 120%%)",IE8warning:"Aix\u00F2 desactivar\u00E0 les caracter\u00EDstiques de men\u00FA i zoom de MathJax, per\u00F2 podeu fer Alt-clic sobre una expressi\u00F3 per mostrar el men\u00FA MathJax.\n\nRealment voleu canviar la configuraci\u00F3 de MathPlayer?",IE9warning:"El men\u00FA contextual de MathJax es desactivar\u00E0, per\u00F2 podeu fer Alt-clic sobre una expressi\u00F3 per mostrar el men\u00FA MathJax.",NoOriginalForm:"No s'ha trobat cap forma original",Close:"Tanca",EqSource:"Codi font d'equaci\u00F3 MathJax",CloseAboutDialog:"Tanca el di\u00E0leg de quant al MathJax",FastPreview:"Vista pr\u00E8via r\u00E0pida",AssistiveMML:"MathML auxiliar",InTabOrder:"Inclou en l'ordre de pestanyes"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/MathMenu.js");
+MathJax.Localization.addTranslation("ca","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Mostra f\u00F3rmules com a",MathMLcode:"Codi MathML",OriginalMathML:"MathML original",TeXCommands:"Comands TeX",AsciiMathInput:"Entrada de AsciiMathML",Original:"Forma original",ErrorMessage:"Missatge d'error",Annotation:"Anotaci\u00F3",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Contingut MathML",OpenMath:"OpenMath",texHints:"Mostra ajudes TeX en MathML",Settings:"Configuraci\u00F3 de MathML",ZoomTrigger:"Control de zoom",Hover:"Passar el ratol\u00ED per sobre",Click:"Clic",DoubleClick:"Doble-clic",NoZoom:"Sense zoom",TriggerRequires:"El control requereix:",Option:"Opci\u00F3",Alt:"Alt",Command:"Comand",Control:"Control",Shift:"Maj\u00FAscules",ZoomFactor:"Factor de zoom",Renderer:"Processador de f\u00F3rmules",MPHandles:"Permetre que MathPlayer controli:",MenuEvents:"Events de men\u00FA",MouseEvents:"Events de ratol\u00ED",MenuAndMouse:"Events de ratol\u00ED i de men\u00FA",FontPrefs:"Prefer\u00E8ncies de font",ForHTMLCSS:"Per HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imatge)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contextual",Browser:"Navegador",Scale:"Escalar totes les f\u00F3mules...",Discoverable:"Iluminar quan el ratol\u00ED passi per sobre",Locale:"Idioma",LoadLocale:"Carrega des de l'URL...",About:"Sobre MathJax",Help:"Ajuda de MathJax",localTeXfonts:"usar fonts TeX locals",webTeXfonts:"usar font web TeX",imagefonts:"usar fonts d'imatge",localSTIXfonts:"usar fonts STIX locals",webSVGfonts:"usar fonts SVG web",genericfonts:"usar fonts gen\u00E8riques Unicode",wofforotffonts:"fonts WOFF o OTF",eotffonts:"fonts EOT",svgfonts:"fonts SVG",WebkitNativeMMLWarning:"Sembla que el vostre navegador no permet MathML de forma nativa; si canvieu a la visualitzaci\u00F3 MathML pot ser que les f\u00F3rmules de la p\u00E0gina no es puguin llegir correctament",MSIENativeMMLWarning:"Internet Explorer requereix el plugin MathPlayer per processar el resultat de MathML",OperaNativeMMLWarning:"El suport d'Opera per MathML \u00E9s limitat; si canvieu a la visualitzaci\u00F3 MathML pot ser que algunes expressions no es visualitzin correctament.",SafariNativeMMLWarning:"El MathML del vostre navegador no implementa totes les caracter\u00EDstiques usades per MathJax; algunes expressions poden no visualitzar-se correctament.",FirefoxNativeMMLWarning:"El MathML del vostre navegador no implementa totes les caracter\u00EDstiques usades per MathJax; algunes expressions poden no visualitzar-se correctament.",MSIESVGWarning:"SVG no est\u00E0 implementat en Internet Explorer anterior a IE9 o quan est\u00E0 emulant IE8 o anterior. Si canvieu a visualitzaci\u00F3 SVG, les f\u00F3rmules no es visualitzaran correctament.",LoadURL:"Carregar les dades de traducci\u00F3 d'aquesta URL:",BadURL:"La URL ha de ser per un arxiu JavaScript que defineixi les dades de traducci\u00F3 per MathJax. Els noms d'arxius JavaScript han de finalitzar amb '.js'",BadData:"No s'han pogut carregar les dades de traducci\u00F3 des de %1",SwitchAnyway:"Canviar la visualitzaci\u00F3 de totes maneres?\n\n(Premeu Acceptar per canviar, Cancel\u00B7lar per continuar amb la visualitzaci\u00F3 actual)",ScaleMath:"Escalar totes les f\u00F3rmules (en comparaci\u00F3 amb el text adjacent) per",NonZeroScale:"L'escalat no pot ser zero",PercentScale:"L'escalat ha de ser un percentatge (per exemple 120%%)",IE8warning:"Aix\u00F2 desactivar\u00E0 les caracter\u00EDstiques de men\u00FA i zoom de MathJax, per\u00F2 podeu fer Alt-clic sobre una expressi\u00F3 per mostrar el men\u00FA MathJax.\n\nRealment voleu canviar la configuraci\u00F3 de MathPlayer?",IE9warning:"El men\u00FA contextual de MathJax es desactivar\u00E0, per\u00F2 podeu fer Alt-clic sobre una expressi\u00F3 per mostrar el men\u00FA MathJax.",NoOriginalForm:"No s'ha trobat cap forma original",Close:"Tanca",EqSource:"Codi font d'equaci\u00F3 MathJax",CloseAboutDialog:"Tanca el di\u00E0leg de quant al MathJax",FastPreview:"Vista pr\u00E8via r\u00E0pida",AssistiveMML:"MathML auxiliar",InTabOrder:"Inclou en l'ordre de pestanyes"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/MathMenu.js");
diff --git a/localization/ca/TeX.js b/localization/ca/TeX.js
index 974baf9af0..7b35bec020 100644
--- a/localization/ca/TeX.js
+++ b/localization/ca/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ca/TeX.js
+ *  /MathJax-v2/localization/ca/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ca","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Sobra una clau d'apertura o falta una clau de tancament",ExtraCloseMissingOpen:"Sobra una clau de tancament o falta una clau d'abertura",MissingLeftExtraRight:"Falta \\left o sobra \\right",MissingScript:"Falta argument de super\u00EDdex o sub\u00EDndex",ExtraLeftMissingRight:"Sobra \\left o falta \\right",Misplaced:"%1 col\u00B7locat err\u00F2niament",MissingOpenForSub:"Falta clau d'abertura per sub\u00EDndex",MissingOpenForSup:"Falta clau d'abertura per super\u00EDndex",AmbiguousUseOf:"\u00DAs ambigu de %1",EnvBadEnd:"\\begin{%1} finalitzat amb \\end{%2}",EnvMissingEnd:"Falta \\end{%1}",MissingBoxFor:"Falta caixa per %1",MissingCloseBrace:"Falta clau de tancament",UndefinedControlSequence:"Seq\u00FC\u00E8ncia de control no definida %1",DoubleExponent:"Doble exponent: useu claus per aclarir",DoubleSubscripts:"Dobre sub\u00EDndex: useu claus per aclarir",DoubleExponentPrime:'El s\u00EDmbol "prima" causa doble exponent: useu claus per aclarir',CantUseHash1:"No podeu fer servir 'el car\u00E0cter # com a par\u00E0metre de macro' en mode matem\u00E0tic",MisplacedMiddle:"%1 ha d'estar entre \\left i \\right",MisplacedLimits:"%1 nom\u00E9s es permet en operadors",MisplacedMoveRoot:"%1 nom\u00E9s pot apar\u00E8ixer a dins d'una arrel",MultipleCommand:"%1 m\u00FAltiples",IntegerArg:"L'argument de %1 ha de ser enter",NotMathMLToken:"%1 no \u00E9s un element de token",InvalidMathMLAttr:"Atribut MathML inv\u00E0lid: %1",UnknownAttrForElement:"%1 no \u00E9s un atribut v\u00E0lid per %2",MaxMacroSub1:"S'ha sobrepassat el nombre m\u00E0xim de substitucions en una macro MathJax; hi ha una crida de macro recursiva?",MaxMacroSub2:"El comptador m\u00E0xim de substitucions de MathJax s'ha sobrepassat; hi ha un entorn de LaTeX recursiu?",MissingArgFor:"Falta argument per %1",ExtraAlignTab:"Marca d'alineaci\u00F3 extra en text \\cases",BracketMustBeDimension:"Argument de claud\u00E0tor per %1 ha de ser una dimensi\u00F3",InvalidEnv:"Nom d'entorn inv\u00E0lid '%1'",UnknownEnv:"Entorn desconegut '%1'",ExtraCloseLooking:"Clau de tancament extra mentre es buscava %1",MissingCloseBracket:"No s'ha pogut trobar ']' de tancament per argument de %1",MissingOrUnrecognizedDelim:"Falta delimitador o delimitador no reconegut per %1",MissingDimOrUnits:"Falta dimensi\u00F3 o unitats per %1",TokenNotFoundForCommand:"No s'ha pogut trobar %1 per %2",MathNotTerminated:"Expressi\u00F3 matem\u00E0tica no finalitzada en quadre de text",IllegalMacroParam:"Refer\u00E8ncia il\u00B7legal a par\u00E0metre de macro",MaxBufferSize:"S'ha sobrepassat la mida de la mem\u00F2ria interm\u00E8dia interna de MathJax; hi ha una crida de macro recursiva?",CommandNotAllowedInEnv:"%1 no perm\u00E8s en entorn %2",MultipleLabel:"Etiqueta '%1' definida m\u00E9s d'una veegada",CommandAtTheBeginingOfLine:"%1 ha d'apar\u00E8ixer a l'inici de la l\u00EDnia",IllegalAlign:"Alineaci\u00F3 especificiada no \u00E9s v\u00E0lida a %1",BadMathStyleFor:"Estil de matem\u00E0tiques incorrecte per %1",PositiveIntegerArg:"L'argument de %1 ha de ser un enter positiu",ErroneousNestingEq:"Nidificaci\u00F3 incorrecta d'estructures d'equaci\u00F3",MultlineRowsOneCol:"Les files dins l'entorn %1 han de tenir exactament una columna",MultipleBBoxProperty:"%1 s'ha especificat dues vegades dins %2",InvalidBBoxProperty:"'%1' no \u00E9s un color, una dimensi\u00F3 o un estil",ExtraEndMissingBegin:"Sobra %1 o falta \\begingroup",GlobalNotFollowedBy:"%1 no est\u00E0 seguit per \\let, \\def o \\newcommand",UndefinedColorModel:"Model de color '%1' no definit",ModelArg1:"Valors de color pel model %1 requereixen 3 n\u00FAmeros",InvalidDecimalNumber:"N\u00FAmero decimal incorrecte",ModelArg2:"Valors de color pel model %1 han d'estar entre %2 i %3",InvalidNumber:"N\u00FAmero inv\u00E0lid",NewextarrowArg1:"El primer argument per %1 ha de ser un nom de seq\u00FC\u00E8ncia de control",NewextarrowArg2:"El segon argument per %1 ha de ser dos enters separats per una coma",NewextarrowArg3:"El tercer argument per %1 ha de ser un n\u00FAmero de car\u00E0cter Unicode",NoClosingChar:"No s'ha trobat el %1 de tancament",IllegalControlSequenceName:"Nom de seq\u00FC\u00E8ncia de control incorrecta per %1",IllegalParamNumber:"S'ha especificat un nombre incorrecte de par\u00E0metres dins %1",MissingCS:"%1 ha de ser seguit per una seq\u00FC\u00E8ncia de control",CantUseHash2:"\u00DAs incorrecte de # en plantilla per %1",SequentialParam:"Els par\u00E0metres per %1 s'han de numerar seq\u00FCencialment",MissingReplacementString:"Falta cadena de substituci\u00F3 a la definici\u00F3 de %1",MismatchUseDef:"L'\u00FAs de %1 no concorda amb la seva definici\u00F3",RunawayArgument:"Argument fora de control per %1?",NoClosingDelim:"No s'ha trobar el delimitador de tancament per %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/TeX.js");
+MathJax.Localization.addTranslation("ca","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Sobra una clau d'apertura o falta una clau de tancament",ExtraCloseMissingOpen:"Sobra una clau de tancament o falta una clau d'abertura",MissingLeftExtraRight:"Falta \\left o sobra \\right",MissingScript:"Falta argument de super\u00EDdex o sub\u00EDndex",ExtraLeftMissingRight:"Sobra \\left o falta \\right",Misplaced:"%1 col\u00B7locat err\u00F2niament",MissingOpenForSub:"Falta clau d'abertura per sub\u00EDndex",MissingOpenForSup:"Falta clau d'abertura per super\u00EDndex",AmbiguousUseOf:"\u00DAs ambigu de %1",EnvBadEnd:"\\begin{%1} finalitzat amb \\end{%2}",EnvMissingEnd:"Falta \\end{%1}",MissingBoxFor:"Falta caixa per %1",MissingCloseBrace:"Falta clau de tancament",UndefinedControlSequence:"Seq\u00FC\u00E8ncia de control no definida %1",DoubleExponent:"Doble exponent: useu claus per aclarir",DoubleSubscripts:"Dobre sub\u00EDndex: useu claus per aclarir",DoubleExponentPrime:'El s\u00EDmbol "prima" causa doble exponent: useu claus per aclarir',CantUseHash1:"No podeu fer servir 'el car\u00E0cter # com a par\u00E0metre de macro' en mode matem\u00E0tic",MisplacedMiddle:"%1 ha d'estar entre \\left i \\right",MisplacedLimits:"%1 nom\u00E9s es permet en operadors",MisplacedMoveRoot:"%1 nom\u00E9s pot apar\u00E8ixer a dins d'una arrel",MultipleCommand:"%1 m\u00FAltiples",IntegerArg:"L'argument de %1 ha de ser enter",NotMathMLToken:"%1 no \u00E9s un element de token",InvalidMathMLAttr:"Atribut MathML inv\u00E0lid: %1",UnknownAttrForElement:"%1 no \u00E9s un atribut v\u00E0lid per %2",MaxMacroSub1:"S'ha sobrepassat el nombre m\u00E0xim de substitucions en una macro MathJax; hi ha una crida de macro recursiva?",MaxMacroSub2:"El comptador m\u00E0xim de substitucions de MathJax s'ha sobrepassat; hi ha un entorn de LaTeX recursiu?",MissingArgFor:"Falta argument per %1",ExtraAlignTab:"Marca d'alineaci\u00F3 extra en text \\cases",BracketMustBeDimension:"Argument de claud\u00E0tor per %1 ha de ser una dimensi\u00F3",InvalidEnv:"Nom d'entorn inv\u00E0lid '%1'",UnknownEnv:"Entorn desconegut '%1'",ExtraCloseLooking:"Clau de tancament extra mentre es buscava %1",MissingCloseBracket:"No s'ha pogut trobar ']' de tancament per argument de %1",MissingOrUnrecognizedDelim:"Falta delimitador o delimitador no reconegut per %1",MissingDimOrUnits:"Falta dimensi\u00F3 o unitats per %1",TokenNotFoundForCommand:"No s'ha pogut trobar %1 per %2",MathNotTerminated:"Expressi\u00F3 matem\u00E0tica no finalitzada en quadre de text",IllegalMacroParam:"Refer\u00E8ncia il\u00B7legal a par\u00E0metre de macro",MaxBufferSize:"S'ha sobrepassat la mida de la mem\u00F2ria interm\u00E8dia interna de MathJax; hi ha una crida de macro recursiva?",CommandNotAllowedInEnv:"%1 no perm\u00E8s en entorn %2",MultipleLabel:"Etiqueta '%1' definida m\u00E9s d'una veegada",CommandAtTheBeginingOfLine:"%1 ha d'apar\u00E8ixer a l'inici de la l\u00EDnia",IllegalAlign:"Alineaci\u00F3 especificiada no \u00E9s v\u00E0lida a %1",BadMathStyleFor:"Estil de matem\u00E0tiques incorrecte per %1",PositiveIntegerArg:"L'argument de %1 ha de ser un enter positiu",ErroneousNestingEq:"Nidificaci\u00F3 incorrecta d'estructures d'equaci\u00F3",MultlineRowsOneCol:"Les files dins l'entorn %1 han de tenir exactament una columna",MultipleBBoxProperty:"%1 s'ha especificat dues vegades dins %2",InvalidBBoxProperty:"'%1' no \u00E9s un color, una dimensi\u00F3 o un estil",ExtraEndMissingBegin:"Sobra %1 o falta \\begingroup",GlobalNotFollowedBy:"%1 no est\u00E0 seguit per \\let, \\def o \\newcommand",UndefinedColorModel:"Model de color '%1' no definit",ModelArg1:"Valors de color pel model %1 requereixen 3 n\u00FAmeros",InvalidDecimalNumber:"N\u00FAmero decimal incorrecte",ModelArg2:"Valors de color pel model %1 han d'estar entre %2 i %3",InvalidNumber:"N\u00FAmero inv\u00E0lid",NewextarrowArg1:"El primer argument per %1 ha de ser un nom de seq\u00FC\u00E8ncia de control",NewextarrowArg2:"El segon argument per %1 ha de ser dos enters separats per una coma",NewextarrowArg3:"El tercer argument per %1 ha de ser un n\u00FAmero de car\u00E0cter Unicode",NoClosingChar:"No s'ha trobat el %1 de tancament",IllegalControlSequenceName:"Nom de seq\u00FC\u00E8ncia de control incorrecta per %1",IllegalParamNumber:"S'ha especificat un nombre incorrecte de par\u00E0metres dins %1",MissingCS:"%1 ha de ser seguit per una seq\u00FC\u00E8ncia de control",CantUseHash2:"\u00DAs incorrecte de # en plantilla per %1",SequentialParam:"Els par\u00E0metres per %1 s'han de numerar seq\u00FCencialment",MissingReplacementString:"Falta cadena de substituci\u00F3 a la definici\u00F3 de %1",MismatchUseDef:"L'\u00FAs de %1 no concorda amb la seva definici\u00F3",RunawayArgument:"Argument fora de control per %1?",NoClosingDelim:"No s'ha trobar el delimitador de tancament per %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/TeX.js");
diff --git a/localization/ca/ca.js b/localization/ca/ca.js
index 71c0b3d5a9..19bc099aa4 100644
--- a/localization/ca/ca.js
+++ b/localization/ca/ca.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ca/ca.js
+ *  /MathJax-v2/localization/ca/ca.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ca",null,{menuTitle:"catal\u00E0",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax ha trobat una galeta de configuraci\u00F3 d'usuari que inclou codi que s'ha d'executar. Voleu executar-lo?",MathProcessingError:"Error en processament d'expressi\u00F3 matem\u00E0tica",MathError:"Error d'expressi\u00F3 matem\u00E0tica",LoadFile:"Carregant %1",Loading:"Carregant",LoadFailed:"No s'ha pogut carregar el fitxer: %1",ProcessMath:"Processant expressi\u00F3: %1%%",Processing:"Processant",TypesetMath:"Formatejant expressi\u00F3: %1%%",Typesetting:"Formatejant",MathJaxNotSupported:"El vostre navegador no suporta MathJax",ErrorTips:"Consells de depuraci\u00F3: utilitzeu %%1, inspeccioneu %%2 a la consola del navegador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/ca.js");
+MathJax.Localization.addTranslation("ca",null,{menuTitle:"catal\u00E0",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax ha trobat una galeta de configuraci\u00F3 d'usuari que inclou codi que s'ha d'executar. Voleu executar-lo?",MathProcessingError:"Error en processament d'expressi\u00F3 matem\u00E0tica",MathError:"Error d'expressi\u00F3 matem\u00E0tica",LoadFile:"Carregant %1",Loading:"Carregant",LoadFailed:"No s'ha pogut carregar el fitxer: %1",ProcessMath:"Processant expressi\u00F3: %1%%",Processing:"Processant",TypesetMath:"Formatejant expressi\u00F3: %1%%",Typesetting:"Formatejant",MathJaxNotSupported:"El vostre navegador no suporta MathJax",ErrorTips:"Consells de depuraci\u00F3: utilitzeu %%1, inspeccioneu %%2 a la consola del navegador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/ca/ca.js");
diff --git a/localization/cdo/FontWarnings.js b/localization/cdo/FontWarnings.js
index 08cc7e43b5..973dfd9124 100644
--- a/localization/cdo/FontWarnings.js
+++ b/localization/cdo/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cdo/FontWarnings.js
+ *  /MathJax-v2/localization/cdo/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/FontWarnings.js");
+MathJax.Localization.addTranslation("cdo","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/FontWarnings.js");
diff --git a/localization/cdo/HTML-CSS.js b/localization/cdo/HTML-CSS.js
index 300a140b98..79585997fb 100644
--- a/localization/cdo/HTML-CSS.js
+++ b/localization/cdo/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cdo/HTML-CSS.js
+ *  /MathJax-v2/localization/cdo/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/HTML-CSS.js");
+MathJax.Localization.addTranslation("cdo","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/HTML-CSS.js");
diff --git a/localization/cdo/HelpDialog.js b/localization/cdo/HelpDialog.js
index 97183d2b5f..f97c17e978 100644
--- a/localization/cdo/HelpDialog.js
+++ b/localization/cdo/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cdo/HelpDialog.js
+ *  /MathJax-v2/localization/cdo/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/HelpDialog.js");
+MathJax.Localization.addTranslation("cdo","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/HelpDialog.js");
diff --git a/localization/cdo/MathML.js b/localization/cdo/MathML.js
index 44e27632e1..8b341329b2 100644
--- a/localization/cdo/MathML.js
+++ b/localization/cdo/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cdo/MathML.js
+ *  /MathJax-v2/localization/cdo/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/MathML.js");
+MathJax.Localization.addTranslation("cdo","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/MathML.js");
diff --git a/localization/cdo/MathMenu.js b/localization/cdo/MathMenu.js
index f08b32d350..f9565de14c 100644
--- a/localization/cdo/MathMenu.js
+++ b/localization/cdo/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cdo/MathMenu.js
+ *  /MathJax-v2/localization/cdo/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo","MathMenu",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/MathMenu.js");
+MathJax.Localization.addTranslation("cdo","MathMenu",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/MathMenu.js");
diff --git a/localization/cdo/TeX.js b/localization/cdo/TeX.js
index f694ae2bc1..9855485f9e 100644
--- a/localization/cdo/TeX.js
+++ b/localization/cdo/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cdo/TeX.js
+ *  /MathJax-v2/localization/cdo/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/TeX.js");
+MathJax.Localization.addTranslation("cdo","TeX",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/TeX.js");
diff --git a/localization/cdo/cdo.js b/localization/cdo/cdo.js
index 7d373f9e48..41c66fcd1a 100644
--- a/localization/cdo/cdo.js
+++ b/localization/cdo/cdo.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cdo/cdo.js
+ *  /MathJax-v2/localization/cdo/cdo.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cdo",null,{menuTitle:"M\u00ECng-d\u0115\u0324ng-ng\u1E73\u0304",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax\u5DF2\u7D93\u8A0E\u8457\u5305\u62EC\u6703\u904B\u884C\u5176\u4EE3\u78BC\u5176\u7528\u6236\u914D\u7F6Ecookie\u3002\u6C5D\u6709\u60F3\u904B\u884C\u7121\uFF1F\n\n\uFF08\u9664\u958B\u9019\u78BA\u5BE6\u662F\u6C5D\u81EA\u5BB6\u7279\u610F\u8A2D\u5176cookie\uFF0C\u82E5\u7121\u6C5D\u8457\u9EDE\u53D6\u6D88\u3002\uFF09",MathProcessingError:"\u6578\u5B78\u8655\u7406\u932F\u8AA4",MathError:"\u6578\u5B78\u932F\u8AA4",LoadFile:"\u8F09\u5165%1",Loading:"\u8F09\u5165",LoadFailed:"\u6587\u4EF6\u8F09\u5165\u5931\u6557\uFF1A%1",ProcessMath:"\u8655\u7406\u6578\u5B78\uFF1A%1%%",Processing:"\u6546\uD844\uDD4F\u8655\u7406",TypesetMath:"\u6392\u7248\u6578\u5B78\uFF1A%1%%",Typesetting:"\u6546\uD844\uDD4F\u6392\u7248",MathJaxNotSupported:"\u6C5D\u5176\u700F\u89BD\u5668\uD84C\uDF50\u652F\u6301MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/cdo.js");
+MathJax.Localization.addTranslation("cdo",null,{menuTitle:"M\u00ECng-d\u0115\u0324ng-ng\u1E73\u0304",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax\u5DF2\u7D93\u8A0E\u8457\u5305\u62EC\u6703\u904B\u884C\u5176\u4EE3\u78BC\u5176\u7528\u6236\u914D\u7F6Ecookie\u3002\u6C5D\u6709\u60F3\u904B\u884C\u7121\uFF1F\n\n\uFF08\u9664\u958B\u9019\u78BA\u5BE6\u662F\u6C5D\u81EA\u5BB6\u7279\u610F\u8A2D\u5176cookie\uFF0C\u82E5\u7121\u6C5D\u8457\u9EDE\u53D6\u6D88\u3002\uFF09",MathProcessingError:"\u6578\u5B78\u8655\u7406\u932F\u8AA4",MathError:"\u6578\u5B78\u932F\u8AA4",LoadFile:"\u8F09\u5165%1",Loading:"\u8F09\u5165",LoadFailed:"\u6587\u4EF6\u8F09\u5165\u5931\u6557\uFF1A%1",ProcessMath:"\u8655\u7406\u6578\u5B78\uFF1A%1%%",Processing:"\u6546\uD844\uDD4F\u8655\u7406",TypesetMath:"\u6392\u7248\u6578\u5B78\uFF1A%1%%",Typesetting:"\u6546\uD844\uDD4F\u6392\u7248",MathJaxNotSupported:"\u6C5D\u5176\u700F\u89BD\u5668\uD84C\uDF50\u652F\u6301MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/cdo/cdo.js");
diff --git a/localization/ce/FontWarnings.js b/localization/ce/FontWarnings.js
index a33e61ec9e..6b1850636c 100644
--- a/localization/ce/FontWarnings.js
+++ b/localization/ce/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ce/FontWarnings.js
+ *  /MathJax-v2/localization/ce/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ce","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/FontWarnings.js");
+MathJax.Localization.addTranslation("ce","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/FontWarnings.js");
diff --git a/localization/ce/HTML-CSS.js b/localization/ce/HTML-CSS.js
index 24d2a45024..ba37219640 100644
--- a/localization/ce/HTML-CSS.js
+++ b/localization/ce/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ce/HTML-CSS.js
+ *  /MathJax-v2/localization/ce/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ce","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/HTML-CSS.js");
+MathJax.Localization.addTranslation("ce","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/HTML-CSS.js");
diff --git a/localization/ce/HelpDialog.js b/localization/ce/HelpDialog.js
index 41fbc0ab8a..9c454bca1b 100644
--- a/localization/ce/HelpDialog.js
+++ b/localization/ce/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ce/HelpDialog.js
+ *  /MathJax-v2/localization/ce/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ce","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/HelpDialog.js");
+MathJax.Localization.addTranslation("ce","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/HelpDialog.js");
diff --git a/localization/ce/MathML.js b/localization/ce/MathML.js
index b7322e06f2..9f19120845 100644
--- a/localization/ce/MathML.js
+++ b/localization/ce/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ce/MathML.js
+ *  /MathJax-v2/localization/ce/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ce","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/MathML.js");
+MathJax.Localization.addTranslation("ce","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/MathML.js");
diff --git a/localization/ce/MathMenu.js b/localization/ce/MathMenu.js
index fc3385b685..015a9d3f76 100644
--- a/localization/ce/MathMenu.js
+++ b/localization/ce/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ce/MathMenu.js
+ *  /MathJax-v2/localization/ce/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ce","MathMenu",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/MathMenu.js");
+MathJax.Localization.addTranslation("ce","MathMenu",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/MathMenu.js");
diff --git a/localization/ce/TeX.js b/localization/ce/TeX.js
index dba96f4e64..6c8294824c 100644
--- a/localization/ce/TeX.js
+++ b/localization/ce/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ce/TeX.js
+ *  /MathJax-v2/localization/ce/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ce","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/TeX.js");
+MathJax.Localization.addTranslation("ce","TeX",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/TeX.js");
diff --git a/localization/ce/ce.js b/localization/ce/ce.js
index c27ac69b3d..548f19a77d 100644
--- a/localization/ce/ce.js
+++ b/localization/ce/ce.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ce/ce.js
+ *  /MathJax-v2/localization/ce/ce.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ce",null,{menuTitle:"\u041D\u043E\u0445\u0447\u0438\u0439\u043D \u043C\u043E\u0442\u0442",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438\u043D \u043A\u0435\u0447\u0434\u0430\u0440\u0430\u043D \u0433\u04C0\u0430\u043B\u0430\u0442",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438\u043D \u0433\u04C0\u0430\u043B\u0430\u0442",LoadFile:"\u0427\u0443\u0439\u043E\u043B\u0443\u0448 %1",Loading:"\u0427\u0443\u0439\u043E\u043B\u0443\u0448",LoadFailed:"\u0427\u0443\u044F\u043A\u043A\u0445\u0430 \u0446\u0430\u0435\u043B\u0438\u0440\u0430: %1",ProcessMath:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u043A\u0435\u0447\u044F\u0440: %1%%",Processing:"\u041A\u0435\u0447\u0434\u0430\u0440"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!==11){return 1}if(2<=a%10&&a%10<=4&&12<=a%100&&a%100<=14){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 2}return 3},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/ce.js");
+MathJax.Localization.addTranslation("ce",null,{menuTitle:"\u041D\u043E\u0445\u0447\u0438\u0439\u043D \u043C\u043E\u0442\u0442",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438\u043D \u043A\u0435\u0447\u0434\u0430\u0440\u0430\u043D \u0433\u04C0\u0430\u043B\u0430\u0442",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438\u043D \u0433\u04C0\u0430\u043B\u0430\u0442",LoadFile:"\u0427\u0443\u0439\u043E\u043B\u0443\u0448 %1",Loading:"\u0427\u0443\u0439\u043E\u043B\u0443\u0448",LoadFailed:"\u0427\u0443\u044F\u043A\u043A\u0445\u0430 \u0446\u0430\u0435\u043B\u0438\u0440\u0430: %1",ProcessMath:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u043A\u0435\u0447\u044F\u0440: %1%%",Processing:"\u041A\u0435\u0447\u0434\u0430\u0440"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!==11){return 1}if(2<=a%10&&a%10<=4&&12<=a%100&&a%100<=14){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 2}return 3},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ce/ce.js");
diff --git a/localization/cs/FontWarnings.js b/localization/cs/FontWarnings.js
index 37bd20b581..d666b06cee 100644
--- a/localization/cs/FontWarnings.js
+++ b/localization/cs/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cs/FontWarnings.js
+ *  /MathJax-v2/localization/cs/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax pou\u017E\u00EDv\u00E1 k zobrazen\u00ED matematiky na t\u00E9to str\u00E1nce webov\u00E1 p\u00EDsma. T\u011Bm trv\u00E1 sta\u017Een\u00ED n\u011Bjakou dobu, tak\u017Ee str\u00E1nka by se vykreslila rychleji, pokud byste si tato matematick\u00E1 p\u00EDsma nainstalovali p\u0159\u00EDmo do syst\u00E9mov\u00E9 slo\u017Eky p\u00EDsem.",imageFonts:"MathJax pou\u017E\u00EDv\u00E1 m\u00EDsto m\u00EDstn\u00EDch nebo webov\u00FDch p\u00EDsem obr\u00E1zkov\u00E9 p\u00EDsmo. Proto bude vykreslov\u00E1n\u00ED pomalej\u0161\u00ED, ne\u017E je obvykl\u00E9, a p\u0159i tisku na Va\u0161\u00ED tisk\u00E1rn\u011B mo\u017En\u00E1 nebude matematika vykreslena na nejlep\u0161\u00ED rozli\u0161en\u00ED.",noFonts:"MathJax nedok\u00E1\u017Ee naj\u00EDt p\u00EDsmo, kter\u00FDm by vykreslil matematiku, a obr\u00E1zkov\u00E1 p\u00EDsma nejsou k dispozici, tak\u017Ee se uch\u00FDl\u00ED k b\u011B\u017En\u00FDm znak\u016Fm Unicode v nad\u011Bji, \u017Ee je v\u00E1\u0161 prohl\u00ED\u017Ee\u010D dok\u00E1\u017Ee zobrazit. N\u011Bkter\u00E9 znaky se mo\u017En\u00E1 nezobraz\u00ED spr\u00E1vn\u011B, nebo dokonce v\u016Fbec.",webFonts:"V\u011Bt\u0161ina modern\u00EDch prohl\u00ED\u017Ee\u010D\u016F umo\u017E\u0148uje sta\u017Een\u00ED p\u00EDsem p\u0159es web. Aktualizace na nov\u011Bj\u0161\u00ED verzi prohl\u00ED\u017Ee\u010De (nebo zm\u011Bna prohl\u00ED\u017Ee\u010De) by mohla zlep\u0161it zobrazen\u00ED matematiky na t\u00E9to str\u00E1nce.",fonts:"MathJax m\u016F\u017Ee pou\u017E\u00EDvat bu\u010F [p\u00EDsma STIX](%1) nebo [MathJaxov\u00E1 TeXov\u00E1 p\u00EDsma](%2). St\u00E1hn\u011Bte a nainstalujte si jedny z nich, abyste si MathJax u\u017Eili l\u00E9pe.",STIXPage:"Tato str\u00E1nka je vytvo\u0159ena pro pou\u017Eit\u00ED s [p\u00EDsmy STIX](%1). St\u00E1hn\u011Bte a nainstalujte si tato p\u00EDsma, abyste si l\u00E9pe u\u017Eili MathJax.",TeXPage:"Tato str\u00E1nka je vytvo\u0159ena pro pou\u017Eit\u00ED s [MathJaxov\u00FDmi TeXov\u00FDmi p\u00EDsmy](%1). Pro lep\u0161\u00ED vyu\u017E\u00EDv\u00E1n\u00ED MathJaxu si st\u00E1hn\u011Bte a nainstalujte tato p\u00EDsma."}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/FontWarnings.js");
+MathJax.Localization.addTranslation("cs","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax pou\u017E\u00EDv\u00E1 k zobrazen\u00ED matematiky na t\u00E9to str\u00E1nce webov\u00E1 p\u00EDsma. T\u011Bm trv\u00E1 sta\u017Een\u00ED n\u011Bjakou dobu, tak\u017Ee str\u00E1nka by se vykreslila rychleji, pokud byste si tato matematick\u00E1 p\u00EDsma nainstalovali p\u0159\u00EDmo do syst\u00E9mov\u00E9 slo\u017Eky p\u00EDsem.",imageFonts:"MathJax pou\u017E\u00EDv\u00E1 m\u00EDsto m\u00EDstn\u00EDch nebo webov\u00FDch p\u00EDsem obr\u00E1zkov\u00E9 p\u00EDsmo. Proto bude vykreslov\u00E1n\u00ED pomalej\u0161\u00ED, ne\u017E je obvykl\u00E9, a p\u0159i tisku na Va\u0161\u00ED tisk\u00E1rn\u011B mo\u017En\u00E1 nebude matematika vykreslena na nejlep\u0161\u00ED rozli\u0161en\u00ED.",noFonts:"MathJax nedok\u00E1\u017Ee naj\u00EDt p\u00EDsmo, kter\u00FDm by vykreslil matematiku, a obr\u00E1zkov\u00E1 p\u00EDsma nejsou k dispozici, tak\u017Ee se uch\u00FDl\u00ED k b\u011B\u017En\u00FDm znak\u016Fm Unicode v nad\u011Bji, \u017Ee je v\u00E1\u0161 prohl\u00ED\u017Ee\u010D dok\u00E1\u017Ee zobrazit. N\u011Bkter\u00E9 znaky se mo\u017En\u00E1 nezobraz\u00ED spr\u00E1vn\u011B, nebo dokonce v\u016Fbec.",webFonts:"V\u011Bt\u0161ina modern\u00EDch prohl\u00ED\u017Ee\u010D\u016F umo\u017E\u0148uje sta\u017Een\u00ED p\u00EDsem p\u0159es web. Aktualizace na nov\u011Bj\u0161\u00ED verzi prohl\u00ED\u017Ee\u010De (nebo zm\u011Bna prohl\u00ED\u017Ee\u010De) by mohla zlep\u0161it zobrazen\u00ED matematiky na t\u00E9to str\u00E1nce.",fonts:"MathJax m\u016F\u017Ee pou\u017E\u00EDvat bu\u010F [p\u00EDsma STIX](%1) nebo [MathJaxov\u00E1 TeXov\u00E1 p\u00EDsma](%2). St\u00E1hn\u011Bte a nainstalujte si jedny z nich, abyste si MathJax u\u017Eili l\u00E9pe.",STIXPage:"Tato str\u00E1nka je vytvo\u0159ena pro pou\u017Eit\u00ED s [p\u00EDsmy STIX](%1). St\u00E1hn\u011Bte a nainstalujte si tato p\u00EDsma, abyste si l\u00E9pe u\u017Eili MathJax.",TeXPage:"Tato str\u00E1nka je vytvo\u0159ena pro pou\u017Eit\u00ED s [MathJaxov\u00FDmi TeXov\u00FDmi p\u00EDsmy](%1). Pro lep\u0161\u00ED vyu\u017E\u00EDv\u00E1n\u00ED MathJaxu si st\u00E1hn\u011Bte a nainstalujte tato p\u00EDsma."}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/FontWarnings.js");
diff --git a/localization/cs/HTML-CSS.js b/localization/cs/HTML-CSS.js
index 3c57d59004..1df773177c 100644
--- a/localization/cs/HTML-CSS.js
+++ b/localization/cs/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cs/HTML-CSS.js
+ *  /MathJax-v2/localization/cs/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Na\u010D\u00EDt\u00E1 se web-font %1",CantLoadWebFont:"Nelze na\u010D\u00EDst web-font %1",FirefoxCantLoadWebFont:"Firefox nem\u016F\u017Ee na\u010D\u00EDtat web-fonty ze vzd\u00E1len\u00E9ho hostitele",CantFindFontUsing:"Nelze naj\u00EDt platn\u00FD font pomoc\u00ED %1",WebFontsNotAvailable:"Webov\u00E9 fonty nejsou k dispozici. M\u00EDsto toho jsou pou\u017Eity obr\u00E1zkov\u00E9 fonty."}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/HTML-CSS.js");
+MathJax.Localization.addTranslation("cs","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Na\u010D\u00EDt\u00E1 se web-font %1",CantLoadWebFont:"Nelze na\u010D\u00EDst web-font %1",FirefoxCantLoadWebFont:"Firefox nem\u016F\u017Ee na\u010D\u00EDtat web-fonty ze vzd\u00E1len\u00E9ho hostitele",CantFindFontUsing:"Nelze naj\u00EDt platn\u00FD font pomoc\u00ED %1",WebFontsNotAvailable:"Webov\u00E9 fonty nejsou k dispozici. M\u00EDsto toho jsou pou\u017Eity obr\u00E1zkov\u00E9 fonty."}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/HTML-CSS.js");
diff --git a/localization/cs/HelpDialog.js b/localization/cs/HelpDialog.js
index 5c434f0a62..0fb3f2ce81 100644
--- a/localization/cs/HelpDialog.js
+++ b/localization/cs/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cs/HelpDialog.js
+ *  /MathJax-v2/localization/cs/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"N\u00E1pov\u011Bda k MathJaxu",MathJax:"*MathJax* je JavaScriptov\u00E1 knihovna, kter\u00E1 autor\u016Fm str\u00E1nek umo\u017E\u0148uje zahrnout do str\u00E1nek matematiku. Jako \u010Dten\u00E1\u0159 se nemus\u00EDte o nic starat.",Browsers:"*Prohl\u00ED\u017Ee\u010De*: MathJax pracuje na v\u0161ech modern\u00EDch prohl\u00ED\u017Ee\u010D\u00EDch v\u010Detn\u011B IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ a v\u011Bt\u0161in\u011B mobiln\u00EDch prohl\u00ED\u017Ee\u010D\u016F.",Menu:"*Matematick\u00E9 menu*: MathJax p\u0159id\u00E1v\u00E1 k rovnic\u00EDm kontextov\u00E9 menu. Pro zobrazen\u00ED menu klikn\u011Bte prav\u00FDm tla\u010D\u00EDtkem my\u0161i nebo s podr\u017Een\u00EDm kl\u00E1vesy Ctrl na jakoukoli matematiku.",ShowMath:"*Zobrazit matematiku jako* v\u00E1m umo\u017En\u00ED prohl\u00E9dnout si zdrojov\u00FD k\u00F3d vzorce pro okop\u00EDrov\u00E1n\u00ED (jako MathML nebo v p\u016Fvodn\u00EDm form\u00E1tu).",Settings:"*Nastaven\u00ED* v\u00E1m umo\u017E\u0148uj\u00ED p\u0159izp\u016Fsobit si n\u011Bkter\u00E9 funkce MathJaxu, jako jsou velikost matematiky \u010Di mechanismy pou\u017E\u00EDvan\u00E9 k zobrazov\u00E1n\u00ED rovnic.",Language:"*Jazyk* v\u00E1m umo\u017En\u00ED zvolit si jazyk pou\u017E\u00EDvan\u00FD MathJaxem pro menu a chybov\u00E1 hl\u00E1\u0161en\u00ED.",Zoom:"*Matematick\u00FD zoom*: Pokud v\u00E1m d\u011Bl\u00E1 probl\u00E9my \u010Dten\u00ED rovnice, Mathjax v\u00E1m umo\u017En\u00ED ji zv\u011Bt\u0161it, abyste ji l\u00E9pe vid\u011Bli.",Accessibilty:"*P\u0159\u00EDstupnost*: MathJax automaticky funguje s \u010Dte\u010Dkami obrazovky, aby matematiku zp\u0159\u00EDstupnil zrakov\u011B posti\u017Een\u00FDm.",Fonts:"*P\u00EDsma*: MathJax bude pou\u017E\u00EDvat jist\u00E1 matematick\u00E1 p\u00EDsma, pokud je m\u00E1te na po\u010D\u00EDta\u010Di nainstalovan\u00E9; v opa\u010Dn\u00E9m p\u0159\u00EDpad\u011B pou\u017Eije p\u00EDsma webov\u00E1. P\u0159esto\u017Ee to nen\u00ED nutn\u00E9, lok\u00E1ln\u011B nainstalovan\u00E1 p\u00EDsma urychl\u00ED sazbu. Doporu\u010Dujeme nainstalovat [p\u00EDsma STIX](%1).",CloseDialog:"Zav\u0159\u00EDt okno s n\u00E1pov\u011Bdou"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/HelpDialog.js");
+MathJax.Localization.addTranslation("cs","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"N\u00E1pov\u011Bda k MathJaxu",MathJax:"*MathJax* je JavaScriptov\u00E1 knihovna, kter\u00E1 autor\u016Fm str\u00E1nek umo\u017E\u0148uje zahrnout do str\u00E1nek matematiku. Jako \u010Dten\u00E1\u0159 se nemus\u00EDte o nic starat.",Browsers:"*Prohl\u00ED\u017Ee\u010De*: MathJax pracuje na v\u0161ech modern\u00EDch prohl\u00ED\u017Ee\u010D\u00EDch v\u010Detn\u011B IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ a v\u011Bt\u0161in\u011B mobiln\u00EDch prohl\u00ED\u017Ee\u010D\u016F.",Menu:"*Matematick\u00E9 menu*: MathJax p\u0159id\u00E1v\u00E1 k rovnic\u00EDm kontextov\u00E9 menu. Pro zobrazen\u00ED menu klikn\u011Bte prav\u00FDm tla\u010D\u00EDtkem my\u0161i nebo s podr\u017Een\u00EDm kl\u00E1vesy Ctrl na jakoukoli matematiku.",ShowMath:"*Zobrazit matematiku jako* v\u00E1m umo\u017En\u00ED prohl\u00E9dnout si zdrojov\u00FD k\u00F3d vzorce pro okop\u00EDrov\u00E1n\u00ED (jako MathML nebo v p\u016Fvodn\u00EDm form\u00E1tu).",Settings:"*Nastaven\u00ED* v\u00E1m umo\u017E\u0148uj\u00ED p\u0159izp\u016Fsobit si n\u011Bkter\u00E9 funkce MathJaxu, jako jsou velikost matematiky \u010Di mechanismy pou\u017E\u00EDvan\u00E9 k zobrazov\u00E1n\u00ED rovnic.",Language:"*Jazyk* v\u00E1m umo\u017En\u00ED zvolit si jazyk pou\u017E\u00EDvan\u00FD MathJaxem pro menu a chybov\u00E1 hl\u00E1\u0161en\u00ED.",Zoom:"*Matematick\u00FD zoom*: Pokud v\u00E1m d\u011Bl\u00E1 probl\u00E9my \u010Dten\u00ED rovnice, Mathjax v\u00E1m umo\u017En\u00ED ji zv\u011Bt\u0161it, abyste ji l\u00E9pe vid\u011Bli.",Accessibilty:"*P\u0159\u00EDstupnost*: MathJax automaticky funguje s \u010Dte\u010Dkami obrazovky, aby matematiku zp\u0159\u00EDstupnil zrakov\u011B posti\u017Een\u00FDm.",Fonts:"*P\u00EDsma*: MathJax bude pou\u017E\u00EDvat jist\u00E1 matematick\u00E1 p\u00EDsma, pokud je m\u00E1te na po\u010D\u00EDta\u010Di nainstalovan\u00E9; v opa\u010Dn\u00E9m p\u0159\u00EDpad\u011B pou\u017Eije p\u00EDsma webov\u00E1. P\u0159esto\u017Ee to nen\u00ED nutn\u00E9, lok\u00E1ln\u011B nainstalovan\u00E1 p\u00EDsma urychl\u00ED sazbu. Doporu\u010Dujeme nainstalovat [p\u00EDsma STIX](%1).",CloseDialog:"Zav\u0159\u00EDt okno s n\u00E1pov\u011Bdou"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/HelpDialog.js");
diff --git a/localization/cs/MathML.js b/localization/cs/MathML.js
index 108a8212a8..6452516a95 100644
--- a/localization/cs/MathML.js
+++ b/localization/cs/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cs/MathML.js
+ *  /MathJax-v2/localization/cs/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Chybn\u00FD mglyph: %1",BadMglyphFont:"\u0160patn\u00E9 p\u00EDsmo: %1",MathPlayer:"MathJax nedok\u00E1zal spustit MathPlayer.\n\nPokud nen\u00ED MathPlayer nainstalov\u00E1n, budete ho muset nejprve nainstalovat.\nJinak mo\u017En\u00E1 spu\u0161t\u011Bn\u00ED ovl\u00E1dac\u00EDch prvk\u016F ActiveX br\u00E1n\u00ED va\u0161e bezpe\u010Dnostn\u00ED\nnastaven\u00ED. Klikn\u011Bte v nab\u00EDdce N\u00E1stroje na polo\u017Eku Mo\u017Enosti Internetu,\nvyberte z\u00E1lo\u017Eku Zabezpe\u010Den\u00ED a klikn\u011Bte na tla\u010D\u00EDtko Vlastn\u00ED \u00FArove\u0148.\nZkontrolujte, \u017Ee jsou povolen\u00E9 mo\u017Enosti \u201ESpou\u0161t\u011Bt ovl\u00E1dac\u00ED prvky ActiveX\u201C\na \u201EChov\u00E1n\u00ED skript\u016F a bin\u00E1rn\u00EDch soubor\u016F\u201C.\n\nMoment\u00E1ln\u011B uvid\u00EDte m\u00EDsto vys\u00E1zen\u00E9 matematiky chybov\u00E1 hl\u00E1\u0161en\u00ED.",CantCreateXMLParser:"MathJax nem\u016F\u017Ee vytvo\u0159it syntaktick\u00FD analyz\u00E1tor XML pro MathML.\nZkontrolujte,\u017Ee m\u00E1te povolen\u00E9 nastaven\u00ED \u201ESkriptovat ovl\u00E1dac\u00ED\nprvky ActiveX ozna\u010Den\u00E9 jako bezpe\u010Dn\u00E9\u201C (v nab\u00EDdce N\u00E1stroje\nklikn\u011Bte na polo\u017Eku Mo\u017Enosti Internetu, vyberte z\u00E1lo\u017Eku\nZabezpe\u010Den\u00ED a klikn\u011Bte na tla\u010D\u00EDtko Vlastn\u00ED \u00FArove\u0148).\n\nMathJax nebude moci zpracov\u00E1vat rovnice v MathML",UnknownNodeType:"Nezn\u00E1m\u00FD typ uzlu: %1",UnexpectedTextNode:"Neo\u010Dek\u00E1van\u00FD textov\u00FD uzel: %1",ErrorParsingMathML:"Chyba p\u0159i anal\u00FDze MathML",ParsingError:"Chyba p\u0159i anal\u00FDze MathML: %1",MathMLSingleElement:"MathML mus\u00ED b\u00FDt tvo\u0159eno jedin\u00FDm elementem",MathMLRootElement:"MathML mus\u00ED b\u00FDt tvo\u0159eno elementem \u003Cmath\u003E, nikoli %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/MathML.js");
+MathJax.Localization.addTranslation("cs","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"Chybn\u00FD mglyph: %1",BadMglyphFont:"\u0160patn\u00E9 p\u00EDsmo: %1",MathPlayer:"MathJax nedok\u00E1zal spustit MathPlayer.\n\nPokud nen\u00ED MathPlayer nainstalov\u00E1n, budete ho muset nejprve nainstalovat.\nJinak mo\u017En\u00E1 spu\u0161t\u011Bn\u00ED ovl\u00E1dac\u00EDch prvk\u016F ActiveX br\u00E1n\u00ED va\u0161e bezpe\u010Dnostn\u00ED\nnastaven\u00ED. Klikn\u011Bte v nab\u00EDdce N\u00E1stroje na polo\u017Eku Mo\u017Enosti Internetu,\nvyberte z\u00E1lo\u017Eku Zabezpe\u010Den\u00ED a klikn\u011Bte na tla\u010D\u00EDtko Vlastn\u00ED \u00FArove\u0148.\nZkontrolujte, \u017Ee jsou povolen\u00E9 mo\u017Enosti \u201ESpou\u0161t\u011Bt ovl\u00E1dac\u00ED prvky ActiveX\u201C\na \u201EChov\u00E1n\u00ED skript\u016F a bin\u00E1rn\u00EDch soubor\u016F\u201C.\n\nMoment\u00E1ln\u011B uvid\u00EDte m\u00EDsto vys\u00E1zen\u00E9 matematiky chybov\u00E1 hl\u00E1\u0161en\u00ED.",CantCreateXMLParser:"MathJax nem\u016F\u017Ee vytvo\u0159it syntaktick\u00FD analyz\u00E1tor XML pro MathML.\nZkontrolujte,\u017Ee m\u00E1te povolen\u00E9 nastaven\u00ED \u201ESkriptovat ovl\u00E1dac\u00ED\nprvky ActiveX ozna\u010Den\u00E9 jako bezpe\u010Dn\u00E9\u201C (v nab\u00EDdce N\u00E1stroje\nklikn\u011Bte na polo\u017Eku Mo\u017Enosti Internetu, vyberte z\u00E1lo\u017Eku\nZabezpe\u010Den\u00ED a klikn\u011Bte na tla\u010D\u00EDtko Vlastn\u00ED \u00FArove\u0148).\n\nMathJax nebude moci zpracov\u00E1vat rovnice v MathML",UnknownNodeType:"Nezn\u00E1m\u00FD typ uzlu: %1",UnexpectedTextNode:"Neo\u010Dek\u00E1van\u00FD textov\u00FD uzel: %1",ErrorParsingMathML:"Chyba p\u0159i anal\u00FDze MathML",ParsingError:"Chyba p\u0159i anal\u00FDze MathML: %1",MathMLSingleElement:"MathML mus\u00ED b\u00FDt tvo\u0159eno jedin\u00FDm elementem",MathMLRootElement:"MathML mus\u00ED b\u00FDt tvo\u0159eno elementem \u003Cmath\u003E, nikoli %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/MathML.js");
diff --git a/localization/cs/MathMenu.js b/localization/cs/MathMenu.js
index 16069ea7a2..7254a061c6 100644
--- a/localization/cs/MathMenu.js
+++ b/localization/cs/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cs/MathMenu.js
+ *  /MathJax-v2/localization/cs/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Zobrazit matematiku jako",MathMLcode:"K\u00F3d MathML",OriginalMathML:"P\u016Fvodn\u00ED MathML",TeXCommands:"P\u0159\u00EDkazy TeXu",AsciiMathInput:"Vstup AsciiMathML",Original:"P\u016Fvodn\u00ED podoba",ErrorMessage:"Chybov\u00E9 hl\u00E1\u0161en\u00ED",Annotation:"Anotace",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"V\u00FDznamov\u00E9 MathML",OpenMath:"OpenMath",texHints:"Zobrazovat v MathML n\u00E1pov\u011Bdy TeXu",Settings:"Nastaven\u00ED matematiky",ZoomTrigger:"Aktivace zoomu",Hover:"Najet\u00EDm my\u0161\u00ED",Click:"Kliknut\u00EDm",DoubleClick:"Dvojklikem",NoZoom:"Bez zoomu",TriggerRequires:"Aktivace vy\u017Eaduje:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"M\u00EDra zoomu",Renderer:"Vykreslov\u00E1n\u00ED matematiky",MPHandles:"MathPlayer m\u00E1 zpracov\u00E1vat:",MenuEvents:"Ud\u00E1losti menu",MouseEvents:"Ud\u00E1losti my\u0161i",MenuAndMouse:"Ud\u00E1losti my\u0161i a menu",FontPrefs:"Nastaven\u00ED p\u00EDsem",ForHTMLCSS:"U HTML-CSS:",Auto:"Automaticky",TeXLocal:"TeX (lok\u00E1ln\u00ED)",TeXWeb:"TeX (web)",TeXImage:"TeX (obr\u00E1zek)",STIXLocal:"STIX (lok\u00E1ln\u00ED)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Kontextov\u00E9 menu",Browser:"Prohl\u00ED\u017Ee\u010D",Scale:"M\u011B\u0159\u00EDtko pro ve\u0161kerou matematiku\u2026",Discoverable:"Zv\u00FDraznit p\u0159i najet\u00ED my\u0161\u00ED",Locale:"Jazyk",LoadLocale:"Na\u010D\u00EDst z URL\u2026",About:"O MathJaxu",Help:"N\u00E1pov\u011Bda k MathJaxu",localTeXfonts:"pou\u017E\u00EDvaj\u00ED se lok\u00E1ln\u00ED p\u00EDsma TeXu",webTeXfonts:"pou\u017E\u00EDvaj\u00ED se webov\u00E1 p\u00EDsma TeXu",imagefonts:"pou\u017E\u00EDvaj\u00ED se obr\u00E1zkov\u00E1 p\u00EDsma",localSTIXfonts:"pou\u017E\u00EDvaj\u00ED se lok\u00E1ln\u00ED p\u00EDsma STIX",webSVGfonts:"pou\u017E\u00EDvaj\u00ED se webov\u00E1 SVG p\u00EDsma",genericfonts:"pou\u017E\u00EDvaj\u00ED se generick\u00E1 unicodov\u00E1 p\u00EDsma",wofforotffonts:"p\u00EDsma woff nebo otf",eotffonts:"p\u00EDsma eot",svgfonts:"p\u00EDsma svg",WebkitNativeMMLWarning:"V\u00E1\u0161 prohl\u00ED\u017Ee\u010D patrn\u011B nepodporuje MathML, tak\u017Ee p\u0159epnut\u00ED na MathML v\u00FDstup m\u016F\u017Ee zp\u016Fsobit, \u017Ee bude matematika na t\u00E9to str\u00E1nce ne\u010Diteln\u00E1.",MSIENativeMMLWarning:"Ke zpracov\u00E1n\u00ED MathML v\u00FDstupu pot\u0159ebuje Internet Explorer z\u00E1suvn\u00FD modul MathPlayer.",OperaNativeMMLWarning:"Podpora MathML v Ope\u0159e je omezen\u00E1, tak\u017Ee p\u0159epnut\u00ED na MathML v\u00FDstup m\u016F\u017Ee zp\u016Fsobit, \u017Ee se n\u011Bkter\u00E9 v\u00FDrazy budou vykreslovat \u0161patn\u011B.",SafariNativeMMLWarning:"Vestav\u011Bn\u00E1 podpora MathML ve va\u0161em prohl\u00ED\u017Ee\u010Di neobsahuje v\u0161echny funkce pou\u017E\u00EDvan\u00E9 MathJaxem, tak\u017Ee se n\u011Bkter\u00E9 v\u00FDrazy mohou vykreslit chybn\u011B.",FirefoxNativeMMLWarning:"Vestav\u011Bn\u00E1 podpora MathML ve va\u0161em prohl\u00ED\u017Ee\u010Di neobsahuje v\u0161echny funkce pou\u017E\u00EDvan\u00E9 MathJaxem, tak\u017Ee se n\u011Bkter\u00E9 v\u00FDrazy mohou vykreslit chybn\u011B.",MSIESVGWarning:"Internet Explorer ve verzi star\u0161\u00ED ne\u017E IE9 nebo v re\u017Eimu emulace IE8 a star\u0161\u00ED nepodporuje SVG. P\u0159epnut\u00ED na SVG v\u00FDstup zp\u016Fsob\u00ED, \u017Ee se matematika nebude zobrazovat spr\u00E1vn\u011B.",LoadURL:"Na\u010D\u00EDst p\u0159eklad z URL:",BadURL:"URL by m\u011Blo v\u00E9st na JavaScriptov\u00FD soubor, kter\u00FD definuje data p\u0159ekladu MathJaxu. N\u00E1zvy JavaScriptov\u00FDch soubor\u016F by m\u011Bly kon\u010Dit \u201E.js\u201C.",BadData:"Nepoda\u0159ilo se na\u010D\u00EDst data p\u0159ekladu z %1",SwitchAnyway:"Chcete p\u0159esto p\u0159epnout vykreslov\u00E1n\u00ED?\n\n(Stiskn\u011Bte OK pro p\u0159epnut\u00ED, STORNO pro pokra\u010Dov\u00E1n\u00ED se st\u00E1vaj\u00EDc\u00EDm vykreslov\u00E1n\u00EDm.)",ScaleMath:"Ve\u0161kerou matematiku zobrazovat v m\u011B\u0159\u00EDtku (v porovn\u00E1n\u00ED s okoln\u00EDm textem)",NonZeroScale:"M\u011B\u0159\u00EDtko nem\u016F\u017Ee b\u00FDt nulov\u00E9",PercentScale:"M\u011B\u0159\u00EDtko by m\u011Blo b\u00FDt v procentech (nap\u0159\u00EDklad 120 %%)",IE8warning:"T\u00EDmto vypnete funkce MathJaxu pro zobrazen\u00ED menu a zv\u011Bt\u0161ov\u00E1n\u00ED, ale menu MathJaxu si budete moci zobrazit pomoc\u00ED Alt+kliknut\u00ED na rovnici.\n\nOpravdu zm\u011Bnit nastaven\u00ED MathPlayeru?",IE9warning:"T\u00EDmto vypnete kontextov\u00E9 menu MathJaxu, ale budete si ho moci zobrazit pomoc\u00ED Alt+kliknut\u00ED na rovnici.",NoOriginalForm:"P\u016Fvodn\u00ED podoba nen\u00ED dostupn\u00E1",Close:"Zav\u0159\u00EDt",EqSource:"Zdroj rovnice MathJax",CloseAboutDialog:"Zav\u0159\u00EDt okno o MathJaxu",FastPreview:"Rychl\u00FD n\u00E1hled",AssistiveMML:"Asistivn\u00ED MathML",InTabOrder:"Za\u0159adit do posloupnosti tabul\u00E1toru"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/MathMenu.js");
+MathJax.Localization.addTranslation("cs","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Zobrazit matematiku jako",MathMLcode:"K\u00F3d MathML",OriginalMathML:"P\u016Fvodn\u00ED MathML",TeXCommands:"P\u0159\u00EDkazy TeXu",AsciiMathInput:"Vstup AsciiMathML",Original:"P\u016Fvodn\u00ED podoba",ErrorMessage:"Chybov\u00E9 hl\u00E1\u0161en\u00ED",Annotation:"Anotace",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"V\u00FDznamov\u00E9 MathML",OpenMath:"OpenMath",texHints:"Zobrazovat v MathML n\u00E1pov\u011Bdy TeXu",Settings:"Nastaven\u00ED matematiky",ZoomTrigger:"Aktivace zoomu",Hover:"Najet\u00EDm my\u0161\u00ED",Click:"Kliknut\u00EDm",DoubleClick:"Dvojklikem",NoZoom:"Bez zoomu",TriggerRequires:"Aktivace vy\u017Eaduje:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"M\u00EDra zoomu",Renderer:"Vykreslov\u00E1n\u00ED matematiky",MPHandles:"MathPlayer m\u00E1 zpracov\u00E1vat:",MenuEvents:"Ud\u00E1losti menu",MouseEvents:"Ud\u00E1losti my\u0161i",MenuAndMouse:"Ud\u00E1losti my\u0161i a menu",FontPrefs:"Nastaven\u00ED p\u00EDsem",ForHTMLCSS:"U HTML-CSS:",Auto:"Automaticky",TeXLocal:"TeX (lok\u00E1ln\u00ED)",TeXWeb:"TeX (web)",TeXImage:"TeX (obr\u00E1zek)",STIXLocal:"STIX (lok\u00E1ln\u00ED)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Kontextov\u00E9 menu",Browser:"Prohl\u00ED\u017Ee\u010D",Scale:"M\u011B\u0159\u00EDtko pro ve\u0161kerou matematiku\u2026",Discoverable:"Zv\u00FDraznit p\u0159i najet\u00ED my\u0161\u00ED",Locale:"Jazyk",LoadLocale:"Na\u010D\u00EDst z URL\u2026",About:"O MathJaxu",Help:"N\u00E1pov\u011Bda k MathJaxu",localTeXfonts:"pou\u017E\u00EDvaj\u00ED se lok\u00E1ln\u00ED p\u00EDsma TeXu",webTeXfonts:"pou\u017E\u00EDvaj\u00ED se webov\u00E1 p\u00EDsma TeXu",imagefonts:"pou\u017E\u00EDvaj\u00ED se obr\u00E1zkov\u00E1 p\u00EDsma",localSTIXfonts:"pou\u017E\u00EDvaj\u00ED se lok\u00E1ln\u00ED p\u00EDsma STIX",webSVGfonts:"pou\u017E\u00EDvaj\u00ED se webov\u00E1 SVG p\u00EDsma",genericfonts:"pou\u017E\u00EDvaj\u00ED se generick\u00E1 unicodov\u00E1 p\u00EDsma",wofforotffonts:"p\u00EDsma woff nebo otf",eotffonts:"p\u00EDsma eot",svgfonts:"p\u00EDsma svg",WebkitNativeMMLWarning:"V\u00E1\u0161 prohl\u00ED\u017Ee\u010D patrn\u011B nepodporuje MathML, tak\u017Ee p\u0159epnut\u00ED na MathML v\u00FDstup m\u016F\u017Ee zp\u016Fsobit, \u017Ee bude matematika na t\u00E9to str\u00E1nce ne\u010Diteln\u00E1.",MSIENativeMMLWarning:"Ke zpracov\u00E1n\u00ED MathML v\u00FDstupu pot\u0159ebuje Internet Explorer z\u00E1suvn\u00FD modul MathPlayer.",OperaNativeMMLWarning:"Podpora MathML v Ope\u0159e je omezen\u00E1, tak\u017Ee p\u0159epnut\u00ED na MathML v\u00FDstup m\u016F\u017Ee zp\u016Fsobit, \u017Ee se n\u011Bkter\u00E9 v\u00FDrazy budou vykreslovat \u0161patn\u011B.",SafariNativeMMLWarning:"Vestav\u011Bn\u00E1 podpora MathML ve va\u0161em prohl\u00ED\u017Ee\u010Di neobsahuje v\u0161echny funkce pou\u017E\u00EDvan\u00E9 MathJaxem, tak\u017Ee se n\u011Bkter\u00E9 v\u00FDrazy mohou vykreslit chybn\u011B.",FirefoxNativeMMLWarning:"Vestav\u011Bn\u00E1 podpora MathML ve va\u0161em prohl\u00ED\u017Ee\u010Di neobsahuje v\u0161echny funkce pou\u017E\u00EDvan\u00E9 MathJaxem, tak\u017Ee se n\u011Bkter\u00E9 v\u00FDrazy mohou vykreslit chybn\u011B.",MSIESVGWarning:"Internet Explorer ve verzi star\u0161\u00ED ne\u017E IE9 nebo v re\u017Eimu emulace IE8 a star\u0161\u00ED nepodporuje SVG. P\u0159epnut\u00ED na SVG v\u00FDstup zp\u016Fsob\u00ED, \u017Ee se matematika nebude zobrazovat spr\u00E1vn\u011B.",LoadURL:"Na\u010D\u00EDst p\u0159eklad z URL:",BadURL:"URL by m\u011Blo v\u00E9st na JavaScriptov\u00FD soubor, kter\u00FD definuje data p\u0159ekladu MathJaxu. N\u00E1zvy JavaScriptov\u00FDch soubor\u016F by m\u011Bly kon\u010Dit \u201E.js\u201C.",BadData:"Nepoda\u0159ilo se na\u010D\u00EDst data p\u0159ekladu z %1",SwitchAnyway:"Chcete p\u0159esto p\u0159epnout vykreslov\u00E1n\u00ED?\n\n(Stiskn\u011Bte OK pro p\u0159epnut\u00ED, STORNO pro pokra\u010Dov\u00E1n\u00ED se st\u00E1vaj\u00EDc\u00EDm vykreslov\u00E1n\u00EDm.)",ScaleMath:"Ve\u0161kerou matematiku zobrazovat v m\u011B\u0159\u00EDtku (v porovn\u00E1n\u00ED s okoln\u00EDm textem)",NonZeroScale:"M\u011B\u0159\u00EDtko nem\u016F\u017Ee b\u00FDt nulov\u00E9",PercentScale:"M\u011B\u0159\u00EDtko by m\u011Blo b\u00FDt v procentech (nap\u0159\u00EDklad 120 %%)",IE8warning:"T\u00EDmto vypnete funkce MathJaxu pro zobrazen\u00ED menu a zv\u011Bt\u0161ov\u00E1n\u00ED, ale menu MathJaxu si budete moci zobrazit pomoc\u00ED Alt+kliknut\u00ED na rovnici.\n\nOpravdu zm\u011Bnit nastaven\u00ED MathPlayeru?",IE9warning:"T\u00EDmto vypnete kontextov\u00E9 menu MathJaxu, ale budete si ho moci zobrazit pomoc\u00ED Alt+kliknut\u00ED na rovnici.",NoOriginalForm:"P\u016Fvodn\u00ED podoba nen\u00ED dostupn\u00E1",Close:"Zav\u0159\u00EDt",EqSource:"Zdroj rovnice MathJax",CloseAboutDialog:"Zav\u0159\u00EDt okno o MathJaxu",FastPreview:"Rychl\u00FD n\u00E1hled",AssistiveMML:"Asistivn\u00ED MathML",InTabOrder:"Za\u0159adit do posloupnosti tabul\u00E1toru"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/MathMenu.js");
diff --git a/localization/cs/TeX.js b/localization/cs/TeX.js
index 3af3a2edc4..a319eef07a 100644
--- a/localization/cs/TeX.js
+++ b/localization/cs/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cs/TeX.js
+ *  /MathJax-v2/localization/cs/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"P\u0159eb\u00FDvaj\u00EDc\u00ED otv\u00EDrac\u00ED nebo chyb\u011Bj\u00EDc\u00ED zav\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",ExtraCloseMissingOpen:"P\u0159eb\u00FDvaj\u00EDc\u00ED zav\u00EDrac\u00ED nebo chyb\u011Bj\u00EDc\u00ED otv\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",MissingLeftExtraRight:"Chyb\u011Bj\u00EDc\u00ED \\left nebo p\u0159eb\u00FDvaj\u00EDc\u00ED \\right",MissingScript:"Chyb\u00ED argument horn\u00EDho nebo doln\u00EDho indexu",ExtraLeftMissingRight:"P\u0159eb\u00FDvaj\u00EDc\u00ED \\left nebo chyb\u011Bj\u00EDc\u00ED \\right",Misplaced:"Chybn\u011B um\u00EDst\u011Bn\u00FD %1",MissingOpenForSub:"U doln\u00EDho indexu chyb\u00ED otv\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",MissingOpenForSup:"U horn\u00EDho indexu chyb\u00ED otv\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",AmbiguousUseOf:"Nejednozna\u010Dn\u00E9 u\u017Eit\u00ED %1",EnvBadEnd:"\\begin{%1} bylo uzav\u0159eno \\end{%2}",EnvMissingEnd:"Chyb\u011Bj\u00EDc\u00ED \\end{%1}",MissingBoxFor:"Chyb\u00ED box pro %1",MissingCloseBrace:"Chyb\u00ED zav\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",UndefinedControlSequence:"Nedefinovan\u00E1 \u0159\u00EDdic\u00ED sekvence %1",DoubleExponent:"Dvojit\u00FD exponent: pro vyjasn\u011Bn\u00ED pou\u017Eijte slo\u017Een\u00E9 z\u00E1vorky",DoubleSubscripts:"Dvojit\u00FD doln\u00ED index: pro vyjasn\u011Bn\u00ED pou\u017Eijte slo\u017Een\u00E9 z\u00E1vorky",DoubleExponentPrime:"Symbol \u010D\u00E1rky zp\u016Fsobil dvojit\u00FD exponent: pro vyjasn\u011Bn\u00ED pou\u017Eijte slo\u017Een\u00E9 z\u00E1vorky",CantUseHash1:"V matematick\u00E9m re\u017Eimu nem\u016F\u017Eete pou\u017E\u00EDt znak \u201E#\u201C pro parametry maker",MisplacedMiddle:"%1 mus\u00ED b\u00FDt uvnit\u0159 \\left a \\right",MisplacedLimits:"%1 je dovoleno pouze u oper\u00E1tor\u016F",MisplacedMoveRoot:"%1 se m\u016F\u017Ee vyskytnout pouze v ko\u0159eni",MultipleCommand:"V\u00EDcen\u00E1sobn\u00FD %1",IntegerArg:"Argumentem %1 mus\u00ED b\u00FDt cel\u00E9 \u010D\u00EDslo",NotMathMLToken:"%1 nen\u00ED primitivn\u00ED element",InvalidMathMLAttr:"Neplatn\u00FD atribut MathML: %1",UnknownAttrForElement:"%1 nen\u00ED zn\u00E1m\u00FD atribut %2",MaxMacroSub1:"P\u0159ekro\u010Den maxim\u00E1ln\u00ED po\u010Det substituc\u00ED makra MathJaxu; nen\u00ED tam rekurzivn\u00ED vol\u00E1n\u00ED makra?",MaxMacroSub2:"P\u0159ekro\u010Den maxim\u00E1ln\u00ED po\u010Det substituc\u00ED MathJaxu; nen\u00ED tam rekurzivn\u00ED LaTexov\u00E9 prost\u0159ed\u00ED?",MissingArgFor:"Chyb\u00ED argument pro %1",ExtraAlignTab:"P\u0159ebyte\u010Dn\u00FD zarovn\u00E1vac\u00ED tabul\u00E1tor v textu \\cases",BracketMustBeDimension:"Z\u00E1vorkov\u00FD argument u %1 mus\u00ED b\u00FDt rozm\u011Br",InvalidEnv:"Neplatn\u00E9 jm\u00E9no prost\u0159ed\u00ED \u201E%1\u201C",UnknownEnv:"Nezn\u00E1m\u00E9 prost\u0159ed\u00ED \u201E%1\u201C",ExtraCloseLooking:"P\u0159ebyte\u010Dn\u00E1 zav\u00EDrac\u00ED hranat\u00E1 z\u00E1vorka, zat\u00EDmco bylo o\u010Dek\u00E1v\u00E1no %1",MissingCloseBracket:"U argumentu %1 nebyla nalezena zav\u00EDrac\u00ED \u201E]\u201C",MissingOrUnrecognizedDelim:"Chyb\u011Bj\u00EDc\u00ED nebo nerozpoznan\u00FD odd\u011Blova\u010D u %1",MissingDimOrUnits:"U %1 chyb\u00ED rozm\u011Br nebo jeho jednotka",TokenNotFoundForCommand:"Nenalezeno %1 k %2",MathNotTerminated:"V textov\u00E9m boxu nen\u00ED ukon\u010Dena matematika",IllegalMacroParam:"Neplatn\u00FD odkaz na parametr makra",MaxBufferSize:"P\u0159ekro\u010Dena velikost intern\u00ED pam\u011Bti MathJaxu; nen\u00ED tam rekurzivn\u00ED vol\u00E1n\u00ED makra?",CommandNotAllowedInEnv:"V prost\u0159ed\u00ED %2 nen\u00ED dovolen %1",MultipleLabel:"V\u00EDcen\u00E1sobn\u00E1 definice n\u00E1v\u011Bst\u00ED %1",CommandAtTheBeginingOfLine:"%1 mus\u00ED b\u00FDt um\u00EDst\u011Bno na za\u010D\u00E1tku \u0159\u00E1dky",IllegalAlign:"U %1 uvedeno neplatn\u00E9 zarovn\u00E1n\u00ED",BadMathStyleFor:"Chybn\u00FD styl matematiky u %1",PositiveIntegerArg:"Argumentem %1 mus\u00ED b\u00FDt kladn\u00E9 cel\u00E9 \u010D\u00EDslo",ErroneousNestingEq:"Chybn\u00E9 zano\u0159ov\u00E1n\u00ED struktury rovnic",MultlineRowsOneCol:"\u0158\u00E1dky v prost\u0159ed\u00ED %1 mus\u00ED m\u00EDt pr\u00E1v\u011B jeden sloupec",MultipleBBoxProperty:"U %2 je %1 uvedeno dvakr\u00E1t",InvalidBBoxProperty:"\u201E%1\u201C nevypad\u00E1 jako barva, rozm\u011Br paddingu nebo styl",ExtraEndMissingBegin:"P\u0159eb\u00FDvaj\u00EDc\u00ED %1 nebo chyb\u011Bj\u00EDc\u00ED \\begingroup",GlobalNotFollowedBy:"Za %1 chyb\u00ED \\let, \\def nebo \\newcommand",UndefinedColorModel:"Barevn\u00FD model \u201E%1\u201C nen\u00ED definov\u00E1n",ModelArg1:"Barevn\u00E9 hodnoty modelu %1 vy\u017Eaduj\u00ED t\u0159i \u010D\u00EDsla",InvalidDecimalNumber:"Neplatn\u00E9 desetinn\u00E9 \u010D\u00EDslo",ModelArg2:"Barevn\u00E9 hodnoty modelu %1 mus\u00ED le\u017Eet mezi %2 a %3",InvalidNumber:"Neplatn\u00E9 \u010D\u00EDslo",NewextarrowArg1:"Prvn\u00EDm argumentem %1 mus\u00ED b\u00FDt n\u00E1zev \u0159\u00EDdic\u00ED sekvence",NewextarrowArg2:"Druh\u00FDm argumentem %1 mus\u00ED b\u00FDt dv\u011B cel\u00E1 \u010D\u00EDsla odd\u011Blen\u00E1 \u010D\u00E1rkou",NewextarrowArg3:"T\u0159et\u00EDm argumentem %1 mus\u00ED b\u00FDt \u010D\u00EDslo znaku Unicode",NoClosingChar:"Nelze naj\u00EDt zav\u00EDrac\u00ED %1",IllegalControlSequenceName:"Neplatn\u00FD n\u00E1zev \u0159\u00EDdic\u00ED sekvence u %1",IllegalParamNumber:"U %1 uveden neplatn\u00FD po\u010Det parametr\u016F",MissingCS:"Za %1 mus\u00ED b\u00FDt \u0159\u00EDdic\u00ED sekvence",CantUseHash2:"Chybn\u00E9 u\u017Eit\u00ED # v \u0161ablon\u011B pro %1",SequentialParam:"Parametry %1 mus\u00ED b\u00FDt \u010D\u00EDslov\u00E1ny postupn\u011B",MissingReplacementString:"V definici %1 chyb\u00ED nahrazuj\u00EDc\u00ED \u0159et\u011Bzec",MismatchUseDef:"Pou\u017Eit\u00ED %1 neodpov\u00EDd\u00E1 jeho definici",RunawayArgument:"Zbloudil\u00FD argument u %1?",NoClosingDelim:"Nenalezen ukon\u010Dovac\u00ED znak u %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/TeX.js");
+MathJax.Localization.addTranslation("cs","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"P\u0159eb\u00FDvaj\u00EDc\u00ED otv\u00EDrac\u00ED nebo chyb\u011Bj\u00EDc\u00ED zav\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",ExtraCloseMissingOpen:"P\u0159eb\u00FDvaj\u00EDc\u00ED zav\u00EDrac\u00ED nebo chyb\u011Bj\u00EDc\u00ED otv\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",MissingLeftExtraRight:"Chyb\u011Bj\u00EDc\u00ED \\left nebo p\u0159eb\u00FDvaj\u00EDc\u00ED \\right",MissingScript:"Chyb\u00ED argument horn\u00EDho nebo doln\u00EDho indexu",ExtraLeftMissingRight:"P\u0159eb\u00FDvaj\u00EDc\u00ED \\left nebo chyb\u011Bj\u00EDc\u00ED \\right",Misplaced:"Chybn\u011B um\u00EDst\u011Bn\u00FD %1",MissingOpenForSub:"U doln\u00EDho indexu chyb\u00ED otv\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",MissingOpenForSup:"U horn\u00EDho indexu chyb\u00ED otv\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",AmbiguousUseOf:"Nejednozna\u010Dn\u00E9 u\u017Eit\u00ED %1",EnvBadEnd:"\\begin{%1} bylo uzav\u0159eno \\end{%2}",EnvMissingEnd:"Chyb\u011Bj\u00EDc\u00ED \\end{%1}",MissingBoxFor:"Chyb\u00ED box pro %1",MissingCloseBrace:"Chyb\u00ED zav\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",UndefinedControlSequence:"Nedefinovan\u00E1 \u0159\u00EDdic\u00ED sekvence %1",DoubleExponent:"Dvojit\u00FD exponent: pro vyjasn\u011Bn\u00ED pou\u017Eijte slo\u017Een\u00E9 z\u00E1vorky",DoubleSubscripts:"Dvojit\u00FD doln\u00ED index: pro vyjasn\u011Bn\u00ED pou\u017Eijte slo\u017Een\u00E9 z\u00E1vorky",DoubleExponentPrime:"Symbol \u010D\u00E1rky zp\u016Fsobil dvojit\u00FD exponent: pro vyjasn\u011Bn\u00ED pou\u017Eijte slo\u017Een\u00E9 z\u00E1vorky",CantUseHash1:"V matematick\u00E9m re\u017Eimu nem\u016F\u017Eete pou\u017E\u00EDt znak \u201E#\u201C pro parametry maker",MisplacedMiddle:"%1 mus\u00ED b\u00FDt uvnit\u0159 \\left a \\right",MisplacedLimits:"%1 je dovoleno pouze u oper\u00E1tor\u016F",MisplacedMoveRoot:"%1 se m\u016F\u017Ee vyskytnout pouze v ko\u0159eni",MultipleCommand:"V\u00EDcen\u00E1sobn\u00FD %1",IntegerArg:"Argumentem %1 mus\u00ED b\u00FDt cel\u00E9 \u010D\u00EDslo",NotMathMLToken:"%1 nen\u00ED primitivn\u00ED element",InvalidMathMLAttr:"Neplatn\u00FD atribut MathML: %1",UnknownAttrForElement:"%1 nen\u00ED zn\u00E1m\u00FD atribut %2",MaxMacroSub1:"P\u0159ekro\u010Den maxim\u00E1ln\u00ED po\u010Det substituc\u00ED makra MathJaxu; nen\u00ED tam rekurzivn\u00ED vol\u00E1n\u00ED makra?",MaxMacroSub2:"P\u0159ekro\u010Den maxim\u00E1ln\u00ED po\u010Det substituc\u00ED MathJaxu; nen\u00ED tam rekurzivn\u00ED LaTexov\u00E9 prost\u0159ed\u00ED?",MissingArgFor:"Chyb\u00ED argument pro %1",ExtraAlignTab:"P\u0159ebyte\u010Dn\u00FD zarovn\u00E1vac\u00ED tabul\u00E1tor v textu \\cases",BracketMustBeDimension:"Z\u00E1vorkov\u00FD argument u %1 mus\u00ED b\u00FDt rozm\u011Br",InvalidEnv:"Neplatn\u00E9 jm\u00E9no prost\u0159ed\u00ED \u201E%1\u201C",UnknownEnv:"Nezn\u00E1m\u00E9 prost\u0159ed\u00ED \u201E%1\u201C",ExtraCloseLooking:"P\u0159ebyte\u010Dn\u00E1 zav\u00EDrac\u00ED hranat\u00E1 z\u00E1vorka, zat\u00EDmco bylo o\u010Dek\u00E1v\u00E1no %1",MissingCloseBracket:"U argumentu %1 nebyla nalezena zav\u00EDrac\u00ED \u201E]\u201C",MissingOrUnrecognizedDelim:"Chyb\u011Bj\u00EDc\u00ED nebo nerozpoznan\u00FD odd\u011Blova\u010D u %1",MissingDimOrUnits:"U %1 chyb\u00ED rozm\u011Br nebo jeho jednotka",TokenNotFoundForCommand:"Nenalezeno %1 k %2",MathNotTerminated:"V textov\u00E9m boxu nen\u00ED ukon\u010Dena matematika",IllegalMacroParam:"Neplatn\u00FD odkaz na parametr makra",MaxBufferSize:"P\u0159ekro\u010Dena velikost intern\u00ED pam\u011Bti MathJaxu; nen\u00ED tam rekurzivn\u00ED vol\u00E1n\u00ED makra?",CommandNotAllowedInEnv:"V prost\u0159ed\u00ED %2 nen\u00ED dovolen %1",MultipleLabel:"V\u00EDcen\u00E1sobn\u00E1 definice n\u00E1v\u011Bst\u00ED %1",CommandAtTheBeginingOfLine:"%1 mus\u00ED b\u00FDt um\u00EDst\u011Bno na za\u010D\u00E1tku \u0159\u00E1dky",IllegalAlign:"U %1 uvedeno neplatn\u00E9 zarovn\u00E1n\u00ED",BadMathStyleFor:"Chybn\u00FD styl matematiky u %1",PositiveIntegerArg:"Argumentem %1 mus\u00ED b\u00FDt kladn\u00E9 cel\u00E9 \u010D\u00EDslo",ErroneousNestingEq:"Chybn\u00E9 zano\u0159ov\u00E1n\u00ED struktury rovnic",MultlineRowsOneCol:"\u0158\u00E1dky v prost\u0159ed\u00ED %1 mus\u00ED m\u00EDt pr\u00E1v\u011B jeden sloupec",MultipleBBoxProperty:"U %2 je %1 uvedeno dvakr\u00E1t",InvalidBBoxProperty:"\u201E%1\u201C nevypad\u00E1 jako barva, rozm\u011Br paddingu nebo styl",ExtraEndMissingBegin:"P\u0159eb\u00FDvaj\u00EDc\u00ED %1 nebo chyb\u011Bj\u00EDc\u00ED \\begingroup",GlobalNotFollowedBy:"Za %1 chyb\u00ED \\let, \\def nebo \\newcommand",UndefinedColorModel:"Barevn\u00FD model \u201E%1\u201C nen\u00ED definov\u00E1n",ModelArg1:"Barevn\u00E9 hodnoty modelu %1 vy\u017Eaduj\u00ED t\u0159i \u010D\u00EDsla",InvalidDecimalNumber:"Neplatn\u00E9 desetinn\u00E9 \u010D\u00EDslo",ModelArg2:"Barevn\u00E9 hodnoty modelu %1 mus\u00ED le\u017Eet mezi %2 a %3",InvalidNumber:"Neplatn\u00E9 \u010D\u00EDslo",NewextarrowArg1:"Prvn\u00EDm argumentem %1 mus\u00ED b\u00FDt n\u00E1zev \u0159\u00EDdic\u00ED sekvence",NewextarrowArg2:"Druh\u00FDm argumentem %1 mus\u00ED b\u00FDt dv\u011B cel\u00E1 \u010D\u00EDsla odd\u011Blen\u00E1 \u010D\u00E1rkou",NewextarrowArg3:"T\u0159et\u00EDm argumentem %1 mus\u00ED b\u00FDt \u010D\u00EDslo znaku Unicode",NoClosingChar:"Nelze naj\u00EDt zav\u00EDrac\u00ED %1",IllegalControlSequenceName:"Neplatn\u00FD n\u00E1zev \u0159\u00EDdic\u00ED sekvence u %1",IllegalParamNumber:"U %1 uveden neplatn\u00FD po\u010Det parametr\u016F",MissingCS:"Za %1 mus\u00ED b\u00FDt \u0159\u00EDdic\u00ED sekvence",CantUseHash2:"Chybn\u00E9 u\u017Eit\u00ED # v \u0161ablon\u011B pro %1",SequentialParam:"Parametry %1 mus\u00ED b\u00FDt \u010D\u00EDslov\u00E1ny postupn\u011B",MissingReplacementString:"V definici %1 chyb\u00ED nahrazuj\u00EDc\u00ED \u0159et\u011Bzec",MismatchUseDef:"Pou\u017Eit\u00ED %1 neodpov\u00EDd\u00E1 jeho definici",RunawayArgument:"Zbloudil\u00FD argument u %1?",NoClosingDelim:"Nenalezen ukon\u010Dovac\u00ED znak u %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/TeX.js");
diff --git a/localization/cs/cs.js b/localization/cs/cs.js
index c5a9bcf866..bf05ebc05e 100644
--- a/localization/cs/cs.js
+++ b/localization/cs/cs.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cs/cs.js
+ *  /MathJax-v2/localization/cs/cs.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cs",null,{menuTitle:"\u010De\u0161tina",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax nalezl cookie u\u017Eivatelsk\u00E9 konfigurace obsahuj\u00EDc\u00ED spustiteln\u00FD k\u00F3d. Chcete ho spustit?\n\n(Pokud jste cookie nenastavili sami, m\u011Bli byste stisknout Storno.)",MathProcessingError:"Chyba zpracov\u00E1n\u00ED matematiky",MathError:"Chyba matematiky",LoadFile:"Na\u010D\u00EDt\u00E1 se %1",Loading:"Na\u010D\u00EDt\u00E1 se",LoadFailed:"Nepoda\u0159ilo se na\u010D\u00EDst soubor: %1",ProcessMath:"Zpracov\u00E1v\u00E1 se matematika: %1 %%",Processing:"Zpracov\u00E1v\u00E1 se",TypesetMath:"S\u00E1z\u00ED se matematika: %1 %%",Typesetting:"S\u00E1z\u00ED se",MathJaxNotSupported:"V\u00E1\u0161 prohl\u00ED\u017Ee\u010D nepodporuje MathJax",ErrorTips:"Tipy pro lad\u011Bn\u00ED: pou\u017Eijte %%1, prozkoumejte %%2 v konzoli prohl\u00ED\u017Ee\u010De"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}if(a===2||a===3||a===4){return 2}return 3},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/cs.js");
+MathJax.Localization.addTranslation("cs",null,{menuTitle:"\u010De\u0161tina",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax nalezl cookie u\u017Eivatelsk\u00E9 konfigurace obsahuj\u00EDc\u00ED spustiteln\u00FD k\u00F3d. Chcete ho spustit?\n\n(Pokud jste cookie nenastavili sami, m\u011Bli byste stisknout Storno.)",MathProcessingError:"Chyba zpracov\u00E1n\u00ED matematiky",MathError:"Chyba matematiky",LoadFile:"Na\u010D\u00EDt\u00E1 se %1",Loading:"Na\u010D\u00EDt\u00E1 se",LoadFailed:"Nepoda\u0159ilo se na\u010D\u00EDst soubor: %1",ProcessMath:"Zpracov\u00E1v\u00E1 se matematika: %1 %%",Processing:"Zpracov\u00E1v\u00E1 se",TypesetMath:"S\u00E1z\u00ED se matematika: %1 %%",Typesetting:"S\u00E1z\u00ED se",MathJaxNotSupported:"V\u00E1\u0161 prohl\u00ED\u017Ee\u010D nepodporuje MathJax",ErrorTips:"Tipy pro lad\u011Bn\u00ED: pou\u017Eijte %%1, prozkoumejte %%2 v konzoli prohl\u00ED\u017Ee\u010De"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}if(a===2||a===3||a===4){return 2}return 3},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/cs/cs.js");
diff --git a/localization/cy/FontWarnings.js b/localization/cy/FontWarnings.js
index 4673858189..fa0b698ca6 100644
--- a/localization/cy/FontWarnings.js
+++ b/localization/cy/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cy/FontWarnings.js
+ *  /MathJax-v2/localization/cy/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cy","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/FontWarnings.js");
+MathJax.Localization.addTranslation("cy","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/FontWarnings.js");
diff --git a/localization/cy/HTML-CSS.js b/localization/cy/HTML-CSS.js
index 4c0ca655ee..27028efb51 100644
--- a/localization/cy/HTML-CSS.js
+++ b/localization/cy/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cy/HTML-CSS.js
+ *  /MathJax-v2/localization/cy/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cy","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/HTML-CSS.js");
+MathJax.Localization.addTranslation("cy","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/HTML-CSS.js");
diff --git a/localization/cy/HelpDialog.js b/localization/cy/HelpDialog.js
index e71b0d3987..99006395bc 100644
--- a/localization/cy/HelpDialog.js
+++ b/localization/cy/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cy/HelpDialog.js
+ *  /MathJax-v2/localization/cy/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cy","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/HelpDialog.js");
+MathJax.Localization.addTranslation("cy","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/HelpDialog.js");
diff --git a/localization/cy/MathML.js b/localization/cy/MathML.js
index 603e4db683..ecae3c5464 100644
--- a/localization/cy/MathML.js
+++ b/localization/cy/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cy/MathML.js
+ *  /MathJax-v2/localization/cy/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cy","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/MathML.js");
+MathJax.Localization.addTranslation("cy","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/MathML.js");
diff --git a/localization/cy/MathMenu.js b/localization/cy/MathMenu.js
index 704e209580..a109f7ec55 100644
--- a/localization/cy/MathMenu.js
+++ b/localization/cy/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cy/MathMenu.js
+ *  /MathJax-v2/localization/cy/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cy","MathMenu",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/MathMenu.js");
+MathJax.Localization.addTranslation("cy","MathMenu",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/MathMenu.js");
diff --git a/localization/cy/TeX.js b/localization/cy/TeX.js
index b1e7a22cde..ecb6ca3334 100644
--- a/localization/cy/TeX.js
+++ b/localization/cy/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cy/TeX.js
+ *  /MathJax-v2/localization/cy/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cy","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/TeX.js");
+MathJax.Localization.addTranslation("cy","TeX",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/TeX.js");
diff --git a/localization/cy/cy.js b/localization/cy/cy.js
index 8217fe2df2..9385448ee8 100644
--- a/localization/cy/cy.js
+++ b/localization/cy/cy.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/cy/cy.js
+ *  /MathJax-v2/localization/cy/cy.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("cy",null,{menuTitle:"Cymraeg",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Gwall prosesu mathemateg",MathError:"Gwall mathemategol",LoadFile:"Yn llwytho %1",Loading:"Yn llwytho",LoadFailed:"Methwyd llwytho'r ffeil: %1",ProcessMath:"Prosesu'r math'g: %1%%",Processing:"Yn prosesu",TypesetMath:"Yn gosod fformat i'r math'g: %1%%",Typesetting:"Yn gosod fformat",MathJaxNotSupported:"'Dyw eich porwr ddim yn cynnal MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/cy.js");
+MathJax.Localization.addTranslation("cy",null,{menuTitle:"Cymraeg",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"Gwall prosesu mathemateg",MathError:"Gwall mathemategol",LoadFile:"Yn llwytho %1",Loading:"Yn llwytho",LoadFailed:"Methwyd llwytho'r ffeil: %1",ProcessMath:"Prosesu'r math'g: %1%%",Processing:"Yn prosesu",TypesetMath:"Yn gosod fformat i'r math'g: %1%%",Typesetting:"Yn gosod fformat",MathJaxNotSupported:"'Dyw eich porwr ddim yn cynnal MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/cy/cy.js");
diff --git a/localization/da/FontWarnings.js b/localization/da/FontWarnings.js
index 0d30266d8c..8efede3b9f 100644
--- a/localization/da/FontWarnings.js
+++ b/localization/da/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/da/FontWarnings.js
+ *  /MathJax-v2/localization/da/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax bruger web-baserede skrifttyper til at vise det matematiske p\u00E5 denne side.  Dette tager tid at hente, s\u00E5 siden ville blive hurtigere, hvis du installerede matematiske skrifttyper direkte i dit systems skrifttypemappe.",imageFonts:"MathJax bruger sine billedeskrifttyper snarere end lokale eller web-baserede skrifttyper. Dette vil g\u00F8re visningen langsommere end s\u00E6dvanligt, og matematik kan ikke udskrives med printerens fulde opl\u00F8sning.",noFonts:"MathJax er ikke i stand til at finde en skrifttype, som kan bruges til at vise matematikken, og billedeskrifttyper er ikke tilg\u00E6ngelige, s\u00E5 der faldes tilbage p\u00E5 generiske Unicode-tegn i h\u00E5b om, at din browser vil v\u00E6re i stand til at vise dem. Nogle tegn kan m\u00E5ske ikke vises korrekt, eller muligvis slet ikke.",webFonts:"De fleste moderne browsere giver mulighed for at hente skrifttyper over nettet. At opdatere til en nyere version af din browser (eller skifte browser) kunne forbedre kvaliteten af matematik p\u00E5 denne side.",fonts:"MathJax kan bruge enten [STIX fonts](%1) eller [MathJax TeX fonts](%2). Hent og installer en af disse skrifttyper for at forbedre din MathJax oplevelse.",STIXPage:"Denne side er designet til at bruge [STIX fonts](%1). Hent og install\u00E9r disse skrifttyper for at forbedre oplevelsen med MathJax.",TeXPage:"Denne side er designet til at bruge [MathJax TeX fonts](%1).  Hent og install\u00E9r disse skrifttyper for at forbedre oplevelsen med MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/FontWarnings.js");
+MathJax.Localization.addTranslation("da","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax bruger web-baserede skrifttyper til at vise det matematiske p\u00E5 denne side.  Dette tager tid at hente, s\u00E5 siden ville blive hurtigere, hvis du installerede matematiske skrifttyper direkte i dit systems skrifttypemappe.",imageFonts:"MathJax bruger sine billedeskrifttyper snarere end lokale eller web-baserede skrifttyper. Dette vil g\u00F8re visningen langsommere end s\u00E6dvanligt, og matematik kan ikke udskrives med printerens fulde opl\u00F8sning.",noFonts:"MathJax er ikke i stand til at finde en skrifttype, som kan bruges til at vise matematikken, og billedeskrifttyper er ikke tilg\u00E6ngelige, s\u00E5 der faldes tilbage p\u00E5 generiske Unicode-tegn i h\u00E5b om, at din browser vil v\u00E6re i stand til at vise dem. Nogle tegn kan m\u00E5ske ikke vises korrekt, eller muligvis slet ikke.",webFonts:"De fleste moderne browsere giver mulighed for at hente skrifttyper over nettet. At opdatere til en nyere version af din browser (eller skifte browser) kunne forbedre kvaliteten af matematik p\u00E5 denne side.",fonts:"MathJax kan bruge enten [STIX fonts](%1) eller [MathJax TeX fonts](%2). Hent og installer en af disse skrifttyper for at forbedre din MathJax oplevelse.",STIXPage:"Denne side er designet til at bruge [STIX fonts](%1). Hent og install\u00E9r disse skrifttyper for at forbedre oplevelsen med MathJax.",TeXPage:"Denne side er designet til at bruge [MathJax TeX fonts](%1).  Hent og install\u00E9r disse skrifttyper for at forbedre oplevelsen med MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/FontWarnings.js");
diff --git a/localization/da/HTML-CSS.js b/localization/da/HTML-CSS.js
index cb33055a17..0882ab9aba 100644
--- a/localization/da/HTML-CSS.js
+++ b/localization/da/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/da/HTML-CSS.js
+ *  /MathJax-v2/localization/da/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Indl\u00E6ser webskrifftype %1",CantLoadWebFont:"Kan ikke indl\u00E6se webskrifttype %1",FirefoxCantLoadWebFont:"Firefox kan ikke indl\u00E6se webskrifttyper fra en fjernstyret v\u00E6rt",CantFindFontUsing:"Kunne ikke finde en gyldig skrifttype ved hj\u00E6lp af %1",WebFontsNotAvailable:"Webskrifttyper er ikke tilg\u00E6ngelig. Brug billede skrifttyper i stedet"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/HTML-CSS.js");
+MathJax.Localization.addTranslation("da","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Indl\u00E6ser webskrifftype %1",CantLoadWebFont:"Kan ikke indl\u00E6se webskrifttype %1",FirefoxCantLoadWebFont:"Firefox kan ikke indl\u00E6se webskrifttyper fra en fjernstyret v\u00E6rt",CantFindFontUsing:"Kunne ikke finde en gyldig skrifttype ved hj\u00E6lp af %1",WebFontsNotAvailable:"Webskrifttyper er ikke tilg\u00E6ngelig. Brug billede skrifttyper i stedet"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/HTML-CSS.js");
diff --git a/localization/da/HelpDialog.js b/localization/da/HelpDialog.js
index 95c8990731..da37d93a0e 100644
--- a/localization/da/HelpDialog.js
+++ b/localization/da/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/da/HelpDialog.js
+ *  /MathJax-v2/localization/da/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax hj\u00E6lp",MathJax:"*MathJax* er et JavaScript-bibliotek, der giver mulighed for forfattere af sider kan inkludere matematik i deres websider. Som l\u00E6ser beh\u00F8ver du ikke at g\u00F8re noget for at f\u00E5 det til at virke.",Browsers:"*Browsere*: MathJax virker p\u00E5 alle moderne browsere inklusiv IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ og de fleste mobile browsere.",Menu:"*Matematikmenu*: MathJax tilf\u00F8jer en genvejsmenu til ligninger. H\u00F8jreklik eller Ctrl-klik p\u00E5 matematikken for at f\u00E5 adgang til menuen.",ShowMath:"*Vis matematik som* giver dig mulighed for at se formelens kilde markup s\u00E5 du kan kopierer og inds\u00E6tte andre steder (som MathML eller i dens oprindelige format).",Settings:"*Indstillinger* giver dig kontrol over funktioner i MathJax, s\u00E5som st\u00F8rrelsen af matematikken, og den mekanisme, der bruges til at vise ligninger.",Language:"*Sprog* lader dig v\u00E6lge det sprog MathJax bruger i sine menuer og advarselsmeddelelser.",Zoom:"*Matematik zoom*: Hvis du har sv\u00E6rt ved at l\u00E6se en ligning, kan MathJax forst\u00F8rre den for at hj\u00E6lpe dig med at se den bedre.",Accessibilty:"*Tilg\u00E6ngelighed*: MathJax vil automatisk arbejde med sk\u00E6rml\u00E6sere for at g\u00F8re matematik tilg\u00E6ngeligt for synsh\u00E6mmede.",Fonts:"*Skrifttyper*: MathJax vil bruge visse matematiske skrifttyper, hvis de er installeret p\u00E5 computeren. ellers vil det bruge web-baserede skrifttyper. Selvom det ikke er p\u00E5kr\u00E6vet, vil lokalt installerede skrifttyper fremskynde ops\u00E6tningen. Vi foresl\u00E5r at installere [STIX fonts](%1).",CloseDialog:"Luk hj\u00E6lpedialogen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/HelpDialog.js");
+MathJax.Localization.addTranslation("da","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"MathJax hj\u00E6lp",MathJax:"*MathJax* er et JavaScript-bibliotek, der giver mulighed for forfattere af sider kan inkludere matematik i deres websider. Som l\u00E6ser beh\u00F8ver du ikke at g\u00F8re noget for at f\u00E5 det til at virke.",Browsers:"*Browsere*: MathJax virker p\u00E5 alle moderne browsere inklusiv IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ og de fleste mobile browsere.",Menu:"*Matematikmenu*: MathJax tilf\u00F8jer en genvejsmenu til ligninger. H\u00F8jreklik eller Ctrl-klik p\u00E5 matematikken for at f\u00E5 adgang til menuen.",ShowMath:"*Vis matematik som* giver dig mulighed for at se formelens kilde markup s\u00E5 du kan kopierer og inds\u00E6tte andre steder (som MathML eller i dens oprindelige format).",Settings:"*Indstillinger* giver dig kontrol over funktioner i MathJax, s\u00E5som st\u00F8rrelsen af matematikken, og den mekanisme, der bruges til at vise ligninger.",Language:"*Sprog* lader dig v\u00E6lge det sprog MathJax bruger i sine menuer og advarselsmeddelelser.",Zoom:"*Matematik zoom*: Hvis du har sv\u00E6rt ved at l\u00E6se en ligning, kan MathJax forst\u00F8rre den for at hj\u00E6lpe dig med at se den bedre.",Accessibilty:"*Tilg\u00E6ngelighed*: MathJax vil automatisk arbejde med sk\u00E6rml\u00E6sere for at g\u00F8re matematik tilg\u00E6ngeligt for synsh\u00E6mmede.",Fonts:"*Skrifttyper*: MathJax vil bruge visse matematiske skrifttyper, hvis de er installeret p\u00E5 computeren. ellers vil det bruge web-baserede skrifttyper. Selvom det ikke er p\u00E5kr\u00E6vet, vil lokalt installerede skrifttyper fremskynde ops\u00E6tningen. Vi foresl\u00E5r at installere [STIX fonts](%1).",CloseDialog:"Luk hj\u00E6lpedialogen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/HelpDialog.js");
diff --git a/localization/da/MathML.js b/localization/da/MathML.js
index feda7e4ffb..8a1a9f18f3 100644
--- a/localization/da/MathML.js
+++ b/localization/da/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/da/MathML.js
+ *  /MathJax-v2/localization/da/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"D\u00E5rlig mglyph: %1",BadMglyphFont:"D\u00E5rlig skrifttype: %1",MathPlayer:"MathJax var ikke i stand til at konfigurere MathPlayer.\n\nHvis MathPlayer ikke er installeret, skal du installere det f\u00F8rst.\nEllers, kan dine sikkerhedsindstillinger forhindrer ActiveX\nkontrolelementer i at k\u00F8re. Bruge dine Internetindstillinger under\ni menuen Funktioner og v\u00E6lg fanen Sikkerhed, og tryk derefter p\u00E5\nknappen Brugerdefineret niveau. Kontroller, at indstillingerne for\n'K\u00F8r ActiveX-objekter' og 'bin\u00E6r- og script-opf\u00F8rsel' er aktiveret.\n\nI \u00F8jeblikket vil du se fejlmeddelelser i stedet for\nformateret matematik",CantCreateXMLParser:"MathJax kan ikke oprette en XML-parser til MathML. Kontroller, at\n'Script ActiveX-objekter markeret sikre til scripting' sikkerhed\ner aktiveret (bruge elementet Internetindstillinger i menuen \nv\u00E6rkt\u00F8jer, og v\u00E6lg sikkerhedspanel, tryk derefter p\u00E5 \nBrugerdefineret niveau knappen for at unders\u00F8ge det).\n\nMathML ligninger vil ikke kunne behandles af MathJax",UnknownNodeType:"Ukendt nodetype: %1",UnexpectedTextNode:"Uventet tekst node: %1",ErrorParsingMathML:"Fejl under parsing af MathML",ParsingError:"Fejl under parsing af MathML: %1",MathMLSingleElement:"MathML skal v\u00E6re dannet af en enkelt element",MathMLRootElement:"MathML skal v\u00E6re dannet af et \u003Cmath\u003E element, ikke %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/MathML.js");
+MathJax.Localization.addTranslation("da","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"D\u00E5rlig mglyph: %1",BadMglyphFont:"D\u00E5rlig skrifttype: %1",MathPlayer:"MathJax var ikke i stand til at konfigurere MathPlayer.\n\nHvis MathPlayer ikke er installeret, skal du installere det f\u00F8rst.\nEllers, kan dine sikkerhedsindstillinger forhindrer ActiveX\nkontrolelementer i at k\u00F8re. Bruge dine Internetindstillinger under\ni menuen Funktioner og v\u00E6lg fanen Sikkerhed, og tryk derefter p\u00E5\nknappen Brugerdefineret niveau. Kontroller, at indstillingerne for\n'K\u00F8r ActiveX-objekter' og 'bin\u00E6r- og script-opf\u00F8rsel' er aktiveret.\n\nI \u00F8jeblikket vil du se fejlmeddelelser i stedet for\nformateret matematik",CantCreateXMLParser:"MathJax kan ikke oprette en XML-parser til MathML. Kontroller, at\n'Script ActiveX-objekter markeret sikre til scripting' sikkerhed\ner aktiveret (bruge elementet Internetindstillinger i menuen \nv\u00E6rkt\u00F8jer, og v\u00E6lg sikkerhedspanel, tryk derefter p\u00E5 \nBrugerdefineret niveau knappen for at unders\u00F8ge det).\n\nMathML ligninger vil ikke kunne behandles af MathJax",UnknownNodeType:"Ukendt nodetype: %1",UnexpectedTextNode:"Uventet tekst node: %1",ErrorParsingMathML:"Fejl under parsing af MathML",ParsingError:"Fejl under parsing af MathML: %1",MathMLSingleElement:"MathML skal v\u00E6re dannet af en enkelt element",MathMLRootElement:"MathML skal v\u00E6re dannet af et \u003Cmath\u003E element, ikke %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/MathML.js");
diff --git a/localization/da/MathMenu.js b/localization/da/MathMenu.js
index fc52b63baa..7f2f0d1912 100644
--- a/localization/da/MathMenu.js
+++ b/localization/da/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/da/MathMenu.js
+ *  /MathJax-v2/localization/da/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Vis matematik som",MathMLcode:"MathML-kode",OriginalMathML:"Oprindelig MathML",TeXCommands:"TeX-kommandoer",AsciiMathInput:"AsciiMathML-input",Original:"Oprindeligt format",ErrorMessage:"Fejlmeddelelse",Annotation:"Note",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Vis TeX-tips i MathML",Settings:"Matematikindstillinger",ZoomTrigger:"Zoomudl\u00F8ser",Hover:"Holde musen over",Click:"Klik",DoubleClick:"Dobbeltklik",NoZoom:"Ingen zoom",TriggerRequires:"Udl\u00F8ser kr\u00E6ver:",Option:"Alternativ (\u2325)",Alt:"Alt",Command:"Kommando (\u2318)",Control:"Ctrl",Shift:"Skift",ZoomFactor:"Zoomfaktor",Renderer:"Matematik-visningsmetode",MPHandles:"Lad MathPlayer h\u00E5ndtere:",MenuEvents:"Menuh\u00E6ndelser",MouseEvents:"Museh\u00E6ndelser",MenuAndMouse:"Muse- og menuh\u00E6ndelser",FontPrefs:"Skrifttype-indstillinger",ForHTMLCSS:"For HTML-CSS:",Auto:"Automatisk",TeXLocal:"TeX (lokal)",TeXWeb:"TeX (web)",TeXImage:"TeX (billede)",STIXLocal:"STIX (lokal)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Kontekstmenu",Browser:"Browser",Scale:"Skaler al matematik...",Discoverable:"Fremh\u00E6v n\u00E5r musen holdes over",Locale:"Sprog",LoadLocale:"Indl\u00E6s fra URL ...",About:"Om MathJax",Help:"MathJax-hj\u00E6lp",localTeXfonts:"bruger lokale TeX-skrifttyper",webTeXfonts:"bruger web-TeX-skrifttype",imagefonts:"bruger billedskrifttyper",localSTIXfonts:"bruger lokale STIX-skrifttyper",webSVGfonts:"bruger web-SVG-skrifttyper",genericfonts:"bruger generiske Unicode-skrifttyper",wofforotffonts:"WOFF- eller OTF-skrifttyper",eotffonts:"EOT-skrifttyper",svgfonts:"SVG-skrifttyper",WebkitNativeMMLWarning:"Din browser har tilsyneladende ikke indbygget MathML-underst\u00F8ttelse, s\u00E5 et skift til MathML-output kan g\u00F8re matematikken p\u00E5 siden ul\u00E6selig",MSIENativeMMLWarning:"Internet Explorer kr\u00E6ver MathPlayer-pluginnet for at kunne behandle MathML-output.",OperaNativeMMLWarning:"Operas underst\u00F8ttelse af MathML er begr\u00E6nset, s\u00E5 et skift til MathML-output kan for\u00E5rsage at nogle udtryk bliver vist d\u00E5rligt.",SafariNativeMMLWarning:"Din browsers indbyggede MathML underst\u00F8tter ikke alle de funktioner, der anvendes af MathJax, s\u00E5 nogle udtryk gengives muligvis ikke korrekt.",FirefoxNativeMMLWarning:"Din browsers indbyggede MathML underst\u00F8tter ikke al den funktionalitet, der anvendes af MathJax, s\u00E5 nogle udtryk gengives muligvis ikke korrekt.",MSIESVGWarning:"SVG er ikke implementeret i Internet Explorer f\u00F8r IE9 eller n\u00E5r den emulerer IE8 eller tidligere versioner. Et skift til SVG-output vil for\u00E5rsage at matematikken ikke vises korrekt.",LoadURL:"Indl\u00E6s overs\u00E6ttelsesdata fra denne URL:",BadURL:"URL-adressen skal v\u00E6re for en JavaScript-fil, der definerer MathJax-overs\u00E6ttelsesdata. JavaScript-filnavne b\u00F8r slutte p\u00E5 '.js'",BadData:"Kunne ikke indl\u00E6se overs\u00E6ttelsesdata fra %1",SwitchAnyway:"Skift visningsmetode alligevel?\n\n(Tryk p\u00E5 OK for at skifte, ANNULLER for at forts\u00E6tte med den nuv\u00E6rende visningsmetode)",ScaleMath:"Skal\u00E9r al matematik (i forhold til omgivende tekst) med",NonZeroScale:"Skaleringen m\u00E5 ikke v\u00E6re nul",PercentScale:"Skaleringen skal v\u00E6re en procentsats (for eksempel 120\u00A0%%)",IE8warning:"Dette vil deaktivere menu- og zoom-funktionaliteterne i MathJax, men du kan i stedet Alt-klikke p\u00E5 et udtryk for at f\u00E5 MathJax-menuen.\n\nVil du virkelig \u00E6ndre indstillingerne for MathPlayer?",IE9warning:"MathJax-kontekstmenuen vil blive deaktiveret, men du kan i stedet Alt-klikke p\u00E5 et udtryk for at f\u00E5 MathJax-menuen.",NoOriginalForm:"Intet oprindeligt format til r\u00E5dighed",Close:"Luk",EqSource:"MathJax-ligningskilde",CloseAboutDialog:'Luk dialogen "Om MathJax"',FastPreview:"Hurtig forh\u00E5ndsvisning",AssistiveMML:"Sk\u00E6rml\u00E6serunderst\u00F8ttelse for MathML",InTabOrder:"Medtag i tabulatorr\u00E6kkef\u00F8lge"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/MathMenu.js");
+MathJax.Localization.addTranslation("da","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Vis matematik som",MathMLcode:"MathML-kode",OriginalMathML:"Oprindelig MathML",TeXCommands:"TeX-kommandoer",AsciiMathInput:"AsciiMathML-input",Original:"Oprindeligt format",ErrorMessage:"Fejlmeddelelse",Annotation:"Note",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Vis TeX-tips i MathML",Settings:"Matematikindstillinger",ZoomTrigger:"Zoomudl\u00F8ser",Hover:"Holde musen over",Click:"Klik",DoubleClick:"Dobbeltklik",NoZoom:"Ingen zoom",TriggerRequires:"Udl\u00F8ser kr\u00E6ver:",Option:"Alternativ (\u2325)",Alt:"Alt",Command:"Kommando (\u2318)",Control:"Ctrl",Shift:"Skift",ZoomFactor:"Zoomfaktor",Renderer:"Matematik-visningsmetode",MPHandles:"Lad MathPlayer h\u00E5ndtere:",MenuEvents:"Menuh\u00E6ndelser",MouseEvents:"Museh\u00E6ndelser",MenuAndMouse:"Muse- og menuh\u00E6ndelser",FontPrefs:"Skrifttype-indstillinger",ForHTMLCSS:"For HTML-CSS:",Auto:"Automatisk",TeXLocal:"TeX (lokal)",TeXWeb:"TeX (web)",TeXImage:"TeX (billede)",STIXLocal:"STIX (lokal)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Kontekstmenu",Browser:"Browser",Scale:"Skaler al matematik...",Discoverable:"Fremh\u00E6v n\u00E5r musen holdes over",Locale:"Sprog",LoadLocale:"Indl\u00E6s fra URL ...",About:"Om MathJax",Help:"MathJax-hj\u00E6lp",localTeXfonts:"bruger lokale TeX-skrifttyper",webTeXfonts:"bruger web-TeX-skrifttype",imagefonts:"bruger billedskrifttyper",localSTIXfonts:"bruger lokale STIX-skrifttyper",webSVGfonts:"bruger web-SVG-skrifttyper",genericfonts:"bruger generiske Unicode-skrifttyper",wofforotffonts:"WOFF- eller OTF-skrifttyper",eotffonts:"EOT-skrifttyper",svgfonts:"SVG-skrifttyper",WebkitNativeMMLWarning:"Din browser har tilsyneladende ikke indbygget MathML-underst\u00F8ttelse, s\u00E5 et skift til MathML-output kan g\u00F8re matematikken p\u00E5 siden ul\u00E6selig",MSIENativeMMLWarning:"Internet Explorer kr\u00E6ver MathPlayer-pluginnet for at kunne behandle MathML-output.",OperaNativeMMLWarning:"Operas underst\u00F8ttelse af MathML er begr\u00E6nset, s\u00E5 et skift til MathML-output kan for\u00E5rsage at nogle udtryk bliver vist d\u00E5rligt.",SafariNativeMMLWarning:"Din browsers indbyggede MathML underst\u00F8tter ikke alle de funktioner, der anvendes af MathJax, s\u00E5 nogle udtryk gengives muligvis ikke korrekt.",FirefoxNativeMMLWarning:"Din browsers indbyggede MathML underst\u00F8tter ikke al den funktionalitet, der anvendes af MathJax, s\u00E5 nogle udtryk gengives muligvis ikke korrekt.",MSIESVGWarning:"SVG er ikke implementeret i Internet Explorer f\u00F8r IE9 eller n\u00E5r den emulerer IE8 eller tidligere versioner. Et skift til SVG-output vil for\u00E5rsage at matematikken ikke vises korrekt.",LoadURL:"Indl\u00E6s overs\u00E6ttelsesdata fra denne URL:",BadURL:"URL-adressen skal v\u00E6re for en JavaScript-fil, der definerer MathJax-overs\u00E6ttelsesdata. JavaScript-filnavne b\u00F8r slutte p\u00E5 '.js'",BadData:"Kunne ikke indl\u00E6se overs\u00E6ttelsesdata fra %1",SwitchAnyway:"Skift visningsmetode alligevel?\n\n(Tryk p\u00E5 OK for at skifte, ANNULLER for at forts\u00E6tte med den nuv\u00E6rende visningsmetode)",ScaleMath:"Skal\u00E9r al matematik (i forhold til omgivende tekst) med",NonZeroScale:"Skaleringen m\u00E5 ikke v\u00E6re nul",PercentScale:"Skaleringen skal v\u00E6re en procentsats (for eksempel 120\u00A0%%)",IE8warning:"Dette vil deaktivere menu- og zoom-funktionaliteterne i MathJax, men du kan i stedet Alt-klikke p\u00E5 et udtryk for at f\u00E5 MathJax-menuen.\n\nVil du virkelig \u00E6ndre indstillingerne for MathPlayer?",IE9warning:"MathJax-kontekstmenuen vil blive deaktiveret, men du kan i stedet Alt-klikke p\u00E5 et udtryk for at f\u00E5 MathJax-menuen.",NoOriginalForm:"Intet oprindeligt format til r\u00E5dighed",Close:"Luk",EqSource:"MathJax-ligningskilde",CloseAboutDialog:'Luk dialogen "Om MathJax"',FastPreview:"Hurtig forh\u00E5ndsvisning",AssistiveMML:"Sk\u00E6rml\u00E6serunderst\u00F8ttelse for MathML",InTabOrder:"Medtag i tabulatorr\u00E6kkef\u00F8lge"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/MathMenu.js");
diff --git a/localization/da/TeX.js b/localization/da/TeX.js
index 21f4aee2e6..b2cc85148c 100644
--- a/localization/da/TeX.js
+++ b/localization/da/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/da/TeX.js
+ *  /MathJax-v2/localization/da/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Ekstra venstreklammeparentes eller manglende h\u00F8jreklammeparentes",ExtraCloseMissingOpen:"Ekstra h\u00F8jreklammeparentes eller manglende venstreklammeparentes",MissingLeftExtraRight:"Manglende \\left eller ekstra \\right",MissingScript:"Manglende h\u00E6vet skrift eller s\u00E6nket skrift argument",ExtraLeftMissingRight:"Ekstra \\left eller manglende \\right",Misplaced:"Malplaceret %1",MissingOpenForSub:"Manglende venstreklammeparentes til s\u00E6nket skrift",MissingOpenForSup:"Manglende venstreklammeparentes til h\u00E6vet skrift",AmbiguousUseOf:"Flertydig brug af %1",EnvBadEnd:"\\begin{%1} sluttede med \\end{%2}",EnvMissingEnd:"Manglende \\end{%1}",MissingBoxFor:"Manglende boks for %1",MissingCloseBrace:"Manglende h\u00F8jreklammeparentes",UndefinedControlSequence:"Udefineret kontrolsekvens %1",DoubleExponent:"Dobbelt eksponent: brug klammeparenteser til at tydeligg\u00F8re",DoubleSubscripts:"Dobbelt s\u00E6nket skrift: brug klammeparenteser til at tydeligg\u00F8re",DoubleExponentPrime:"M\u00E6rke for\u00E5rsager dobbelt eksponent: bruge klammeparenteser til at tydeligg\u00F8re",CantUseHash1:"Du kan ikke bruge 'makro parameter tegnet #' i matematik tilstand",MisplacedMiddle:"%1 skal v\u00E6re inden for \\left og \\right",MisplacedLimits:"%1 er kun tilladt p\u00E5 operatorer",MisplacedMoveRoot:"%1 kan kun v\u00E6re indenfor en root",MultipleCommand:"For mange %1",IntegerArg:"Argumentet til %1 skal v\u00E6re et heltal",NotMathMLToken:"%1 er ikke et token element",InvalidMathMLAttr:"Ugyldig MathML attribut: %1",UnknownAttrForElement:"%1 er ikke en genkendt attribut for %2",MaxMacroSub1:"Det maksimale antal makro substitutioner i MathJax er overskredet; er der et rekursivt makrokald?",MaxMacroSub2:"Det maksimale antal substitutioner i MathJax er overskredet; er der et rekursivt LaTeX milj\u00F8?",MissingArgFor:"Manglende argument til %1",ExtraAlignTab:"For mange \u0026 i \\cases tekst",BracketMustBeDimension:"Klammeargument til %1 skal v\u00E6re en dimension",InvalidEnv:"Ugyldigt navn '%1'",UnknownEnv:"Ukendt navn '%1'",ExtraCloseLooking:"Ekstra h\u00F8jreklammeparentes under s\u00F8gning efter %1",MissingCloseBracket:"Kunne ikke finde det afsluttende ']' argument til %1",MissingOrUnrecognizedDelim:"Manglende eller ukendt skilletegn for %1",MissingDimOrUnits:"Manglende dimension eller enheder for %1",TokenNotFoundForCommand:"Kunne ikke finde %1 for %2",MathNotTerminated:"Matematik ikke afsluttet i tekstfeltet",IllegalMacroParam:"Ulovlig makro parameter reference",MaxBufferSize:"Intern bufferst\u00F8rrelse for MathJax er overskredet; er der et rekursivt makrokald?",CommandNotAllowedInEnv:"%1 er ikke tilladt i milj\u00F8et %2",MultipleLabel:"Etiketten '%1' er defineret flere gange",CommandAtTheBeginingOfLine:"%1 skal v\u00E6re i begyndelsen af linjen",IllegalAlign:"Ulovlig justering angivet i %1",BadMathStyleFor:"D\u00E5rlig matematik stil for %1",PositiveIntegerArg:"Argumentet til %1 skal v\u00E6re et positivt heltal",ErroneousNestingEq:"Fejlagtig indlejring af ligningsstrukturer",MultlineRowsOneCol:"R\u00E6kker indenfor milj\u00F8et %1 skal have pr\u00E6cis \u00E9n kolonne",MultipleBBoxProperty:"%1 angivet to gange i %2",InvalidBBoxProperty:"'%1' ligner ikke en farve, en padding dimension eller en stil",ExtraEndMissingBegin:"Ekstra %1 eller manglende \\begingroup",GlobalNotFollowedBy:"%1 ikke efterfulgt af \\let, \\def eller \\newcommand",UndefinedColorModel:"Farvemodel '%1' ikke defineret",ModelArg1:"Farvev\u00E6rdier for modellen %1 kr\u00E6ver 3 tal",InvalidDecimalNumber:"Ugyldigt decimaltal",ModelArg2:"Farvev\u00E6rdier for modellen %1 skal v\u00E6re mellem %2 og %3",InvalidNumber:"Ugyldigt tal",NewextarrowArg1:"F\u00F8rste argument til %1 skal v\u00E6re navnet p\u00E5 en kontrol sekvens",NewextarrowArg2:"Andet argument til %1 skal v\u00E6re to heltal adskilt af et komma",NewextarrowArg3:"Tredje argument til %1 skal v\u00E6re nummeret p\u00E5 et Unicode-tegn",NoClosingChar:"Kan ikke finde den afsluttende %1",IllegalControlSequenceName:"Ulovligt kontrol sekvens navn for %1",IllegalParamNumber:"Ulovligt antal parametre angivet i %1",MissingCS:"%1 skal efterf\u00F8lges af en kontrolsekvens",CantUseHash2:"Ulovlig brug af # i skabelon for %1",SequentialParam:"Parametre for %1 skal v\u00E6re nummereret fortl\u00F8bende",MissingReplacementString:"Manglende erstatningsstreng til definition af %1",MismatchUseDef:"Brug af %1 stemmer ikke overens med dens definition",RunawayArgument:"L\u00F8bsk argument for %1?",NoClosingDelim:"Kan ikke finde afsluttende skilletegn for %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/TeX.js");
+MathJax.Localization.addTranslation("da","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Ekstra venstreklammeparentes eller manglende h\u00F8jreklammeparentes",ExtraCloseMissingOpen:"Ekstra h\u00F8jreklammeparentes eller manglende venstreklammeparentes",MissingLeftExtraRight:"Manglende \\left eller ekstra \\right",MissingScript:"Manglende h\u00E6vet skrift eller s\u00E6nket skrift argument",ExtraLeftMissingRight:"Ekstra \\left eller manglende \\right",Misplaced:"Malplaceret %1",MissingOpenForSub:"Manglende venstreklammeparentes til s\u00E6nket skrift",MissingOpenForSup:"Manglende venstreklammeparentes til h\u00E6vet skrift",AmbiguousUseOf:"Flertydig brug af %1",EnvBadEnd:"\\begin{%1} sluttede med \\end{%2}",EnvMissingEnd:"Manglende \\end{%1}",MissingBoxFor:"Manglende boks for %1",MissingCloseBrace:"Manglende h\u00F8jreklammeparentes",UndefinedControlSequence:"Udefineret kontrolsekvens %1",DoubleExponent:"Dobbelt eksponent: brug klammeparenteser til at tydeligg\u00F8re",DoubleSubscripts:"Dobbelt s\u00E6nket skrift: brug klammeparenteser til at tydeligg\u00F8re",DoubleExponentPrime:"M\u00E6rke for\u00E5rsager dobbelt eksponent: bruge klammeparenteser til at tydeligg\u00F8re",CantUseHash1:"Du kan ikke bruge 'makro parameter tegnet #' i matematik tilstand",MisplacedMiddle:"%1 skal v\u00E6re inden for \\left og \\right",MisplacedLimits:"%1 er kun tilladt p\u00E5 operatorer",MisplacedMoveRoot:"%1 kan kun v\u00E6re indenfor en root",MultipleCommand:"For mange %1",IntegerArg:"Argumentet til %1 skal v\u00E6re et heltal",NotMathMLToken:"%1 er ikke et token element",InvalidMathMLAttr:"Ugyldig MathML attribut: %1",UnknownAttrForElement:"%1 er ikke en genkendt attribut for %2",MaxMacroSub1:"Det maksimale antal makro substitutioner i MathJax er overskredet; er der et rekursivt makrokald?",MaxMacroSub2:"Det maksimale antal substitutioner i MathJax er overskredet; er der et rekursivt LaTeX milj\u00F8?",MissingArgFor:"Manglende argument til %1",ExtraAlignTab:"For mange \u0026 i \\cases tekst",BracketMustBeDimension:"Klammeargument til %1 skal v\u00E6re en dimension",InvalidEnv:"Ugyldigt navn '%1'",UnknownEnv:"Ukendt navn '%1'",ExtraCloseLooking:"Ekstra h\u00F8jreklammeparentes under s\u00F8gning efter %1",MissingCloseBracket:"Kunne ikke finde det afsluttende ']' argument til %1",MissingOrUnrecognizedDelim:"Manglende eller ukendt skilletegn for %1",MissingDimOrUnits:"Manglende dimension eller enheder for %1",TokenNotFoundForCommand:"Kunne ikke finde %1 for %2",MathNotTerminated:"Matematik ikke afsluttet i tekstfeltet",IllegalMacroParam:"Ulovlig makro parameter reference",MaxBufferSize:"Intern bufferst\u00F8rrelse for MathJax er overskredet; er der et rekursivt makrokald?",CommandNotAllowedInEnv:"%1 er ikke tilladt i milj\u00F8et %2",MultipleLabel:"Etiketten '%1' er defineret flere gange",CommandAtTheBeginingOfLine:"%1 skal v\u00E6re i begyndelsen af linjen",IllegalAlign:"Ulovlig justering angivet i %1",BadMathStyleFor:"D\u00E5rlig matematik stil for %1",PositiveIntegerArg:"Argumentet til %1 skal v\u00E6re et positivt heltal",ErroneousNestingEq:"Fejlagtig indlejring af ligningsstrukturer",MultlineRowsOneCol:"R\u00E6kker indenfor milj\u00F8et %1 skal have pr\u00E6cis \u00E9n kolonne",MultipleBBoxProperty:"%1 angivet to gange i %2",InvalidBBoxProperty:"'%1' ligner ikke en farve, en padding dimension eller en stil",ExtraEndMissingBegin:"Ekstra %1 eller manglende \\begingroup",GlobalNotFollowedBy:"%1 ikke efterfulgt af \\let, \\def eller \\newcommand",UndefinedColorModel:"Farvemodel '%1' ikke defineret",ModelArg1:"Farvev\u00E6rdier for modellen %1 kr\u00E6ver 3 tal",InvalidDecimalNumber:"Ugyldigt decimaltal",ModelArg2:"Farvev\u00E6rdier for modellen %1 skal v\u00E6re mellem %2 og %3",InvalidNumber:"Ugyldigt tal",NewextarrowArg1:"F\u00F8rste argument til %1 skal v\u00E6re navnet p\u00E5 en kontrol sekvens",NewextarrowArg2:"Andet argument til %1 skal v\u00E6re to heltal adskilt af et komma",NewextarrowArg3:"Tredje argument til %1 skal v\u00E6re nummeret p\u00E5 et Unicode-tegn",NoClosingChar:"Kan ikke finde den afsluttende %1",IllegalControlSequenceName:"Ulovligt kontrol sekvens navn for %1",IllegalParamNumber:"Ulovligt antal parametre angivet i %1",MissingCS:"%1 skal efterf\u00F8lges af en kontrolsekvens",CantUseHash2:"Ulovlig brug af # i skabelon for %1",SequentialParam:"Parametre for %1 skal v\u00E6re nummereret fortl\u00F8bende",MissingReplacementString:"Manglende erstatningsstreng til definition af %1",MismatchUseDef:"Brug af %1 stemmer ikke overens med dens definition",RunawayArgument:"L\u00F8bsk argument for %1?",NoClosingDelim:"Kan ikke finde afsluttende skilletegn for %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/TeX.js");
diff --git a/localization/da/da.js b/localization/da/da.js
index ab1cfd9f52..1312c56f76 100644
--- a/localization/da/da.js
+++ b/localization/da/da.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/da/da.js
+ *  /MathJax-v2/localization/da/da.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("da",null,{menuTitle:"dansk",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax har fundet en cookie med brugerkonfiguration, der indeholder kode til at k\u00F8re. Vil du k\u00F8re det?\n\n(Du b\u00F8r trykke p\u00E5 Annuller, medmindre du oprettede cookien selv.)",MathProcessingError:"Fejl under bearbejdning af matematik",MathError:"Matematikfejl",LoadFile:"Indl\u00E6ser %1",Loading:"Indl\u00E6ser",LoadFailed:"Kunne ikke indl\u00E6se filen: %1",ProcessMath:"Bearbejder matematik: %1%%",Processing:"Bearbejder",TypesetMath:"Ops\u00E6tter matematik: %1%%",Typesetting:"Ops\u00E6tter",MathJaxNotSupported:"Din browser underst\u00F8tter ikke MathJax",ErrorTips:"Tips til fejls\u00F8gning: brug %%1, inspicer %%2 i browserkonsollen"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/da.js");
+MathJax.Localization.addTranslation("da",null,{menuTitle:"dansk",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax har fundet en cookie med brugerkonfiguration, der indeholder kode til at k\u00F8re. Vil du k\u00F8re det?\n\n(Du b\u00F8r trykke p\u00E5 Annuller, medmindre du oprettede cookien selv.)",MathProcessingError:"Fejl under bearbejdning af matematik",MathError:"Matematikfejl",LoadFile:"Indl\u00E6ser %1",Loading:"Indl\u00E6ser",LoadFailed:"Kunne ikke indl\u00E6se filen: %1",ProcessMath:"Bearbejder matematik: %1%%",Processing:"Bearbejder",TypesetMath:"Ops\u00E6tter matematik: %1%%",Typesetting:"Ops\u00E6tter",MathJaxNotSupported:"Din browser underst\u00F8tter ikke MathJax",ErrorTips:"Tips til fejls\u00F8gning: brug %%1, inspicer %%2 i browserkonsollen"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/da/da.js");
diff --git a/localization/de/FontWarnings.js b/localization/de/FontWarnings.js
index 83dacf9d7d..7f86c2f6a3 100644
--- a/localization/de/FontWarnings.js
+++ b/localization/de/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/de/FontWarnings.js
+ *  /MathJax-v2/localization/de/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax nutz web-basierte Fonts zur Darstellung der Mathematik auf dieser Seite. Da diese heruntergeladen werden m\u00FCssen, l\u00E4dt die Seite schneller, wenn Mathe-Fonts auf dem System installiert sind.",imageFonts:"MathJax verwendet die Bildschriften anstatt der lokalen oder webbasierten Schriften. Das Rendern dauert l\u00E4nger als gew\u00F6hnlich und die Inhalte werden m\u00F6glicherweise nicht mit der vollen Aufl\u00F6sung deines Druckers ausgedruckt.",noFonts:"MathJax konnte keine Schriftart zur Anzeige der Inhalte finden und Bildschriften sind nicht verf\u00FCgbar. Es wird auf allgemeine Unicode-Zeichen zur\u00FCckgegriffen in der Hoffnung, dass dein Browser in der Lage ist, sie darzustellen. Einige Zeichen werden m\u00F6glicherweise nicht richtig oder gar nicht angezeigt.",webFonts:"Die meisten modernen Browser erlauben den Download von Schriften \u00FCber das Web. Eine Aktualisierung auf eine aktuellere Version deines Browsers (oder dessen Wechsel) kann die Qualit\u00E4t der Inhalte auf dieser Seite verbessern.",fonts:"MathJax kann entweder die [STIX-](%1) oder [MathJax-TeX-Schriften](%2) verwenden. Lade eine dieser Schriften herunter und installiere sie, um dein MathJax-Erlebnis zu steigern.",STIXPage:"Diese Seite wurde konzipiert, um die [STIX-Schriften](%1) zu verwenden. Lade sie herunter und installiere sie, um dein MathJax-Erlebnis zu steigern.",TeXPage:"Diese Seite wurde konzipiert, um die [MathJax-TeX-Schriften](%1) zu verwenden. Lade sie herunter und installiere sie, um dein MathJax-Erlebnis zu steigern."}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/FontWarnings.js");
+MathJax.Localization.addTranslation("de","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax nutz web-basierte Fonts zur Darstellung der Mathematik auf dieser Seite. Da diese heruntergeladen werden m\u00FCssen, l\u00E4dt die Seite schneller, wenn Mathe-Fonts auf dem System installiert sind.",imageFonts:"MathJax verwendet die Bildschriften anstatt der lokalen oder webbasierten Schriften. Das Rendern dauert l\u00E4nger als gew\u00F6hnlich und die Inhalte werden m\u00F6glicherweise nicht mit der vollen Aufl\u00F6sung deines Druckers ausgedruckt.",noFonts:"MathJax konnte keine Schriftart zur Anzeige der Inhalte finden und Bildschriften sind nicht verf\u00FCgbar. Es wird auf allgemeine Unicode-Zeichen zur\u00FCckgegriffen in der Hoffnung, dass dein Browser in der Lage ist, sie darzustellen. Einige Zeichen werden m\u00F6glicherweise nicht richtig oder gar nicht angezeigt.",webFonts:"Die meisten modernen Browser erlauben den Download von Schriften \u00FCber das Web. Eine Aktualisierung auf eine aktuellere Version deines Browsers (oder dessen Wechsel) kann die Qualit\u00E4t der Inhalte auf dieser Seite verbessern.",fonts:"MathJax kann entweder die [STIX-](%1) oder [MathJax-TeX-Schriften](%2) verwenden. Lade eine dieser Schriften herunter und installiere sie, um dein MathJax-Erlebnis zu steigern.",STIXPage:"Diese Seite wurde konzipiert, um die [STIX-Schriften](%1) zu verwenden. Lade sie herunter und installiere sie, um dein MathJax-Erlebnis zu steigern.",TeXPage:"Diese Seite wurde konzipiert, um die [MathJax-TeX-Schriften](%1) zu verwenden. Lade sie herunter und installiere sie, um dein MathJax-Erlebnis zu steigern."}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/FontWarnings.js");
diff --git a/localization/de/HTML-CSS.js b/localization/de/HTML-CSS.js
index ccf0204811..317ce7d0a6 100644
--- a/localization/de/HTML-CSS.js
+++ b/localization/de/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/de/HTML-CSS.js
+ *  /MathJax-v2/localization/de/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Lade Webfont %1",CantLoadWebFont:"Webschriftart %1 konnte nicht geladen werden",FirefoxCantLoadWebFont:"Firefox kann keine Webschriften von einem entfernten Rechner laden",CantFindFontUsing:"Es konnte keine g\u00FCltige Schriftart in %1 gefunden werden",WebFontsNotAvailable:"Webschriften sind nicht verf\u00FCgbar. Verwende stattdessen Bildschriften."}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/HTML-CSS.js");
+MathJax.Localization.addTranslation("de","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Lade Webfont %1",CantLoadWebFont:"Webschriftart %1 konnte nicht geladen werden",FirefoxCantLoadWebFont:"Firefox kann keine Webschriften von einem entfernten Rechner laden",CantFindFontUsing:"Es konnte keine g\u00FCltige Schriftart in %1 gefunden werden",WebFontsNotAvailable:"Webschriften sind nicht verf\u00FCgbar. Verwende stattdessen Bildschriften."}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/HTML-CSS.js");
diff --git a/localization/de/HelpDialog.js b/localization/de/HelpDialog.js
index 70db10b078..0f57b00306 100644
--- a/localization/de/HelpDialog.js
+++ b/localization/de/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/de/HelpDialog.js
+ *  /MathJax-v2/localization/de/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax Hilfe",MathJax:"*MathJax* ist eine JavaScript-Bibliothek, die es Seitenautoren erm\u00F6glicht, mathematische Inhalte in ihre Webseiten einzubinden. Als Leser muss du nichts unternehmen, um das zu erreichen.",Browsers:"*Browser*: MathJax funktioniert mit allen modernen Browsern inklusive Internet Explorer 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ und den meisten mobilen Browsern.",Menu:"*Men\u00FC*: MathJax f\u00FCgt bei Gleichungen ein Kontextmen\u00FC hinzu. Um das Men\u00FC anzuzeigen, klicke mit der rechten Maustaste oder halte beim Klicken die Strg-Taste gedr\u00FCckt.",ShowMath:"*Inhalt zeigen als* erlaubt dir, das Formelquellenmarkup f\u00FCr Kopieren \u0026 Einf\u00FCgen anzusehen (als MathML oder im Originalformat).",Settings:"*Einstellungen* gibt dir die Kontrolle \u00FCber MathJax-Funktionen, wie die Inhaltsgr\u00F6\u00DFe und den verwendeten Mechanismus zum Anzeigen von Gleichungen.",Language:"*Sprache* l\u00E4sst dir die Sprache ausw\u00E4hlen, die von MathJax f\u00FCr die Men\u00FCs und Warnmeldungen verwendet wird.",Zoom:"*Zoom*: Wenn du beim Lesen einer Gleichung Schwierigkeiten hast, kann MathJax sie vergr\u00F6\u00DFern, damit du sie besser sehen kannst.",Accessibilty:"*Barrierefreiheit*: MathJax funktioniert automatisch mit Screenreadern, um die Inhalte f\u00FCr Sehbehinderte verf\u00FCgbar zu machen.",Fonts:"*Schriftarten*: MathJax verwendet bestimmte Schriften, wenn sie auf deinem Computer installiert sind. Anderenfalls werden webbasierte Schriften verwendet. Obwohl das nicht erforderlich ist, beschleunigen lokal installierte Schriften die Schriftsetzung. Wir empfehlen die Installation der [STIX-Schriften](%1).",CloseDialog:"Hilfedialog schlie\u00DFen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/HelpDialog.js");
+MathJax.Localization.addTranslation("de","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"MathJax Hilfe",MathJax:"*MathJax* ist eine JavaScript-Bibliothek, die es Seitenautoren erm\u00F6glicht, mathematische Inhalte in ihre Webseiten einzubinden. Als Leser muss du nichts unternehmen, um das zu erreichen.",Browsers:"*Browser*: MathJax funktioniert mit allen modernen Browsern inklusive Internet Explorer 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ und den meisten mobilen Browsern.",Menu:"*Men\u00FC*: MathJax f\u00FCgt bei Gleichungen ein Kontextmen\u00FC hinzu. Um das Men\u00FC anzuzeigen, klicke mit der rechten Maustaste oder halte beim Klicken die Strg-Taste gedr\u00FCckt.",ShowMath:"*Inhalt zeigen als* erlaubt dir, das Formelquellenmarkup f\u00FCr Kopieren \u0026 Einf\u00FCgen anzusehen (als MathML oder im Originalformat).",Settings:"*Einstellungen* gibt dir die Kontrolle \u00FCber MathJax-Funktionen, wie die Inhaltsgr\u00F6\u00DFe und den verwendeten Mechanismus zum Anzeigen von Gleichungen.",Language:"*Sprache* l\u00E4sst dir die Sprache ausw\u00E4hlen, die von MathJax f\u00FCr die Men\u00FCs und Warnmeldungen verwendet wird.",Zoom:"*Zoom*: Wenn du beim Lesen einer Gleichung Schwierigkeiten hast, kann MathJax sie vergr\u00F6\u00DFern, damit du sie besser sehen kannst.",Accessibilty:"*Barrierefreiheit*: MathJax funktioniert automatisch mit Screenreadern, um die Inhalte f\u00FCr Sehbehinderte verf\u00FCgbar zu machen.",Fonts:"*Schriftarten*: MathJax verwendet bestimmte Schriften, wenn sie auf deinem Computer installiert sind. Anderenfalls werden webbasierte Schriften verwendet. Obwohl das nicht erforderlich ist, beschleunigen lokal installierte Schriften die Schriftsetzung. Wir empfehlen die Installation der [STIX-Schriften](%1).",CloseDialog:"Hilfedialog schlie\u00DFen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/HelpDialog.js");
diff --git a/localization/de/MathML.js b/localization/de/MathML.js
index e1a1ba4e5a..71177a794e 100644
--- a/localization/de/MathML.js
+++ b/localization/de/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/de/MathML.js
+ *  /MathJax-v2/localization/de/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"ung\u00FCltige mglyph: %1",BadMglyphFont:"Ung\u00FCltige Schriftart: %1",MathPlayer:"MathJax konnte MathPlayer nicht einrichten.\n\nFalls MathPlayer nicht installiert ist, musst du ihn zuerst installieren.\nAnderenfalls verhindern deine Sicherheitseinstellungen, dass\nActiveX-Steuerelemente ausgef\u00FChrt werden k\u00F6nnen. Verwende die\nInternetoptionen unter dem Werkzeugmen\u00FC und w\u00E4hle die Registerkarte\n\u201ESicherheit\u201C. Klicke dann auf \u201EStufe anpassen\u201C. \u00DCberpr\u00FCfe, ob die\nEinstellungen f\u00FCr \u201EActiveX-Steuerelemente ausf\u00FChren\u201C und \u201EBin\u00E4r- und\nSkriptverhalten\u201C aktiviert sind.\n\nDerzeit wirst du Fehlermeldungen sehen anstatt gesetzte Inhalte.",CantCreateXMLParser:"MathJax konnte keinen XML-Parser f\u00FCr MathML erstellen.\n\u00DCberpr\u00FCfe, ob die Sicherheitseinstellung\n\u201EActiveX-Steuerelemente ausf\u00FChren, die f\u00FCr Skripting\nsicher sind\u201C aktiviert ist (verwende zur \u00DCberpr\u00FCfung\ndie Internetoptionen im Werkzeugmen\u00FC, w\u00E4hle die\nRegisterkarte \u201ESicherheit\u201C und klicke auf \u201EStufe\nanpassen\u201C).\n\nMathML-Gleichungen k\u00F6nnen von MathJax nicht\nverarbeitet werden.",UnknownNodeType:"Unbekannter Knotentyp: %1",UnexpectedTextNode:"Unerwarteter Textknoten: %1",ErrorParsingMathML:"Fehler beim Verarbeiten von MathML",ParsingError:"Fehler beim Parsen von MathML: %1",MathMLSingleElement:"MathML muss von einem einzelnen Element gebildet werden",MathMLRootElement:"MathML muss von einem \u003Cmath\u003E-Element gebildet werden, nicht %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/MathML.js");
+MathJax.Localization.addTranslation("de","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"ung\u00FCltige mglyph: %1",BadMglyphFont:"Ung\u00FCltige Schriftart: %1",MathPlayer:"MathJax konnte MathPlayer nicht einrichten.\n\nFalls MathPlayer nicht installiert ist, musst du ihn zuerst installieren.\nAnderenfalls verhindern deine Sicherheitseinstellungen, dass\nActiveX-Steuerelemente ausgef\u00FChrt werden k\u00F6nnen. Verwende die\nInternetoptionen unter dem Werkzeugmen\u00FC und w\u00E4hle die Registerkarte\n\u201ESicherheit\u201C. Klicke dann auf \u201EStufe anpassen\u201C. \u00DCberpr\u00FCfe, ob die\nEinstellungen f\u00FCr \u201EActiveX-Steuerelemente ausf\u00FChren\u201C und \u201EBin\u00E4r- und\nSkriptverhalten\u201C aktiviert sind.\n\nDerzeit wirst du Fehlermeldungen sehen anstatt gesetzte Inhalte.",CantCreateXMLParser:"MathJax konnte keinen XML-Parser f\u00FCr MathML erstellen.\n\u00DCberpr\u00FCfe, ob die Sicherheitseinstellung\n\u201EActiveX-Steuerelemente ausf\u00FChren, die f\u00FCr Skripting\nsicher sind\u201C aktiviert ist (verwende zur \u00DCberpr\u00FCfung\ndie Internetoptionen im Werkzeugmen\u00FC, w\u00E4hle die\nRegisterkarte \u201ESicherheit\u201C und klicke auf \u201EStufe\nanpassen\u201C).\n\nMathML-Gleichungen k\u00F6nnen von MathJax nicht\nverarbeitet werden.",UnknownNodeType:"Unbekannter Knotentyp: %1",UnexpectedTextNode:"Unerwarteter Textknoten: %1",ErrorParsingMathML:"Fehler beim Verarbeiten von MathML",ParsingError:"Fehler beim Parsen von MathML: %1",MathMLSingleElement:"MathML muss von einem einzelnen Element gebildet werden",MathMLRootElement:"MathML muss von einem \u003Cmath\u003E-Element gebildet werden, nicht %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/MathML.js");
diff --git a/localization/de/MathMenu.js b/localization/de/MathMenu.js
index 5456212a6e..081ca046e7 100644
--- a/localization/de/MathMenu.js
+++ b/localization/de/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/de/MathMenu.js
+ *  /MathJax-v2/localization/de/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Zeige mathematischen Ausdruck als",MathMLcode:"MathML-Code",OriginalMathML:"Original-MathML",TeXCommands:"TeX-Befehle",AsciiMathInput:"AsciiMathML-Eingabe",Original:"Originalformel",ErrorMessage:"Fehlermeldung",Annotation:"Anmerkung",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"TeX-Hinweise in MathML anzeigen",Settings:"Math-Einstellungen",ZoomTrigger:"Zoomausl\u00F6ser",Hover:"\u00DCberfahren",Click:"Klick",DoubleClick:"Doppelklick",NoZoom:"Kein Zoom",TriggerRequires:"Ausl\u00F6ser ben\u00F6tigt:",Option:"Option",Alt:"Alt",Command:"\u2318",Control:"Strg",Shift:"Umschalt",ZoomFactor:"Vergr\u00F6\u00DFerungsfaktor",Renderer:"Math-Renderer",MPHandles:"MathPlayer darf verwalten:",MenuEvents:"Men\u00FCereignisse",MouseEvents:"Mausereignisse",MenuAndMouse:"Maus- und Men\u00FCereignisse",FontPrefs:"Schriftarteinstellungen",ForHTMLCSS:"F\u00FCr HTML-CSS:",Auto:"Automatisch",TeXLocal:"TeX (Lokal)",TeXWeb:"TeX (Web)",TeXImage:"TeX (Bild)",STIXLocal:"STIX (Lokal)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latin Modern (Web)",NeoEulerWeb:"Neo Euler (Web)",ContextMenu:"Kontextmen\u00FC",Browser:"Browser",Scale:"Alle Inhalte skalieren \u2026",Discoverable:"Beim \u00DCberfahren hervorheben",Locale:"Sprache",LoadLocale:"Lade von URL \u2026",About:"\u00DCber MathJax",Help:"MathJax-Hilfe",localTeXfonts:"Lokale TeX-Schriften verwenden",webTeXfonts:"Web-TeX-Schriftart verwenden",imagefonts:"Bildschriften verwenden",localSTIXfonts:"Lokale STIX-Schriften verwenden",webSVGfonts:"Web-SVG-Schriften verwenden",genericfonts:"Allgemeine Unicode-Schriften verwenden",wofforotffonts:"WOFF- oder OTF-Schriften",eotffonts:"EOT-Schriften",svgfonts:"SVG-Schriften",WebkitNativeMMLWarning:"Ihr Browser scheint kein natives MathML zu unterst\u00FCtzen. Ein Wechsel auf MathML-Ausgabe kann dazu f\u00FChren, dass die Inhalte auf der Seite unlesbar werden.",MSIENativeMMLWarning:"Um die MathML-Ausgabe verarbeiten zu k\u00F6nnen, ben\u00F6tigt der Internet Explorer das MathPlayer-Plugin.",OperaNativeMMLWarning:"Die Unterst\u00FCtzung f\u00FCr MathML bei Opera ist beschr\u00E4nkt. Deshalb kann ein Wechsel auf MathML-Ausgabe verursachen, dass einige Ausdr\u00FCcke nur schlecht gerendert werden k\u00F6nnen.",SafariNativeMMLWarning:"Das native MathML Ihres Browsers unterst\u00FCtzt nicht alle Funktionen, die von MathJax verwendet werden. Deshalb k\u00F6nnen einige Ausdr\u00FCcke nicht richtig gerendert werden.",FirefoxNativeMMLWarning:"Das native MathML Ihres Browsers unterst\u00FCtzt nicht alle Funktionen, die von MathJax verwendet werden. Deshalb k\u00F6nnen einige Ausdr\u00FCcke nicht richtig gerendert werden.",MSIESVGWarning:"SVG wird nicht vom Internet Explorer \u00E4lter als IE9 unterst\u00FCtzt oder wenn IE8 und niedriger emuliert werden. Der Wechsel auf SVG-Ausgabe hat zur Folge, dass die Inhalte nicht richtig dargestellt werden.",LoadURL:"\u00DCbersetzungsdaten von dieser URL laden:",BadURL:"Die URL sollte f\u00FCr eine JavaScript-Datei sein, die MathJax-\u00DCbersetzungsdaten definiert. JavaScript-Dateinamen sollten enden mit \u201E.js\u201C.",BadData:"\u00DCbersetzungsdaten konnten nicht von %1 geladen werden",SwitchAnyway:"Den Renderer trotzdem wechseln?\n\n(OK w\u00E4hlen zum Wechseln, ABBRECHEN w\u00E4hlen, um mit dem gegenw\u00E4rtigen Renderer fortzufahren)",ScaleMath:"Alle Inhalte skalieren (verglichen mit dem umflie\u00DFenden Text) um",NonZeroScale:"Der Wert sollte nicht null sein",PercentScale:"Der Wert sollte ein Prozentsatz sein (z.\u0026nbsp;B. 120%%)",IE8warning:"Dies deaktiviert das MathJax-Men\u00FC und die Zoomfunktionen, aber du kannst bei einem Ausdruck w\u00E4hrend des Mausklicks die Alt-Taste gedr\u00FCckt halten, um stattdessen das MathJax-Men\u00FC zu erhalten.\n\nMathPlayer-Einstellungen wirklich \u00E4ndern?",IE9warning:"Das MathJax-Kontextmen\u00FC wird deaktiviert, aber du kannst bei einem Ausdruck w\u00E4hrend des Mausklicks die Alt-Taste gedr\u00FCckt halten, um stattdessen das MathJax-Men\u00FC zu erhalten.",NoOriginalForm:"Keine Originalformel verf\u00FCgbar",Close:"Schlie\u00DFen",EqSource:"MathJax-Gleichungsquelle",CloseAboutDialog:"Dialog \u201E\u00DCber MathJax\u201C schlie\u00DFen",FastPreview:"Schnelle Vorschau",AssistiveMML:"Assistives MathML",InTabOrder:"In Reiterreihenfolge einschlie\u00DFen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/MathMenu.js");
+MathJax.Localization.addTranslation("de","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Zeige mathematischen Ausdruck als",MathMLcode:"MathML-Code",OriginalMathML:"Original-MathML",TeXCommands:"TeX-Befehle",AsciiMathInput:"AsciiMathML-Eingabe",Original:"Originalformel",ErrorMessage:"Fehlermeldung",Annotation:"Anmerkung",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"TeX-Hinweise in MathML anzeigen",Settings:"Math-Einstellungen",ZoomTrigger:"Zoomausl\u00F6ser",Hover:"\u00DCberfahren",Click:"Klick",DoubleClick:"Doppelklick",NoZoom:"Kein Zoom",TriggerRequires:"Ausl\u00F6ser ben\u00F6tigt:",Option:"Option",Alt:"Alt",Command:"\u2318",Control:"Strg",Shift:"Umschalt",ZoomFactor:"Vergr\u00F6\u00DFerungsfaktor",Renderer:"Math-Renderer",MPHandles:"MathPlayer darf verwalten:",MenuEvents:"Men\u00FCereignisse",MouseEvents:"Mausereignisse",MenuAndMouse:"Maus- und Men\u00FCereignisse",FontPrefs:"Schriftarteinstellungen",ForHTMLCSS:"F\u00FCr HTML-CSS:",Auto:"Automatisch",TeXLocal:"TeX (Lokal)",TeXWeb:"TeX (Web)",TeXImage:"TeX (Bild)",STIXLocal:"STIX (Lokal)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latin Modern (Web)",NeoEulerWeb:"Neo Euler (Web)",ContextMenu:"Kontextmen\u00FC",Browser:"Browser",Scale:"Alle Inhalte skalieren \u2026",Discoverable:"Beim \u00DCberfahren hervorheben",Locale:"Sprache",LoadLocale:"Lade von URL \u2026",About:"\u00DCber MathJax",Help:"MathJax-Hilfe",localTeXfonts:"Lokale TeX-Schriften verwenden",webTeXfonts:"Web-TeX-Schriftart verwenden",imagefonts:"Bildschriften verwenden",localSTIXfonts:"Lokale STIX-Schriften verwenden",webSVGfonts:"Web-SVG-Schriften verwenden",genericfonts:"Allgemeine Unicode-Schriften verwenden",wofforotffonts:"WOFF- oder OTF-Schriften",eotffonts:"EOT-Schriften",svgfonts:"SVG-Schriften",WebkitNativeMMLWarning:"Ihr Browser scheint kein natives MathML zu unterst\u00FCtzen. Ein Wechsel auf MathML-Ausgabe kann dazu f\u00FChren, dass die Inhalte auf der Seite unlesbar werden.",MSIENativeMMLWarning:"Um die MathML-Ausgabe verarbeiten zu k\u00F6nnen, ben\u00F6tigt der Internet Explorer das MathPlayer-Plugin.",OperaNativeMMLWarning:"Die Unterst\u00FCtzung f\u00FCr MathML bei Opera ist beschr\u00E4nkt. Deshalb kann ein Wechsel auf MathML-Ausgabe verursachen, dass einige Ausdr\u00FCcke nur schlecht gerendert werden k\u00F6nnen.",SafariNativeMMLWarning:"Das native MathML Ihres Browsers unterst\u00FCtzt nicht alle Funktionen, die von MathJax verwendet werden. Deshalb k\u00F6nnen einige Ausdr\u00FCcke nicht richtig gerendert werden.",FirefoxNativeMMLWarning:"Das native MathML Ihres Browsers unterst\u00FCtzt nicht alle Funktionen, die von MathJax verwendet werden. Deshalb k\u00F6nnen einige Ausdr\u00FCcke nicht richtig gerendert werden.",MSIESVGWarning:"SVG wird nicht vom Internet Explorer \u00E4lter als IE9 unterst\u00FCtzt oder wenn IE8 und niedriger emuliert werden. Der Wechsel auf SVG-Ausgabe hat zur Folge, dass die Inhalte nicht richtig dargestellt werden.",LoadURL:"\u00DCbersetzungsdaten von dieser URL laden:",BadURL:"Die URL sollte f\u00FCr eine JavaScript-Datei sein, die MathJax-\u00DCbersetzungsdaten definiert. JavaScript-Dateinamen sollten enden mit \u201E.js\u201C.",BadData:"\u00DCbersetzungsdaten konnten nicht von %1 geladen werden",SwitchAnyway:"Den Renderer trotzdem wechseln?\n\n(OK w\u00E4hlen zum Wechseln, ABBRECHEN w\u00E4hlen, um mit dem gegenw\u00E4rtigen Renderer fortzufahren)",ScaleMath:"Alle Inhalte skalieren (verglichen mit dem umflie\u00DFenden Text) um",NonZeroScale:"Der Wert sollte nicht null sein",PercentScale:"Der Wert sollte ein Prozentsatz sein (z.\u0026nbsp;B. 120%%)",IE8warning:"Dies deaktiviert das MathJax-Men\u00FC und die Zoomfunktionen, aber du kannst bei einem Ausdruck w\u00E4hrend des Mausklicks die Alt-Taste gedr\u00FCckt halten, um stattdessen das MathJax-Men\u00FC zu erhalten.\n\nMathPlayer-Einstellungen wirklich \u00E4ndern?",IE9warning:"Das MathJax-Kontextmen\u00FC wird deaktiviert, aber du kannst bei einem Ausdruck w\u00E4hrend des Mausklicks die Alt-Taste gedr\u00FCckt halten, um stattdessen das MathJax-Men\u00FC zu erhalten.",NoOriginalForm:"Keine Originalformel verf\u00FCgbar",Close:"Schlie\u00DFen",EqSource:"MathJax-Gleichungsquelle",CloseAboutDialog:"Dialog \u201E\u00DCber MathJax\u201C schlie\u00DFen",FastPreview:"Schnelle Vorschau",AssistiveMML:"Assistives MathML",InTabOrder:"In Reiterreihenfolge einschlie\u00DFen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/MathMenu.js");
diff --git a/localization/de/TeX.js b/localization/de/TeX.js
index c723c4f661..e4f19cfe8d 100644
--- a/localization/de/TeX.js
+++ b/localization/de/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/de/TeX.js
+ *  /MathJax-v2/localization/de/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Zus\u00E4tzliche \u00F6ffnende, oder fehlende schlie\u00DFende Klammer",ExtraCloseMissingOpen:"Zus\u00E4tzliche schlie\u00DFende, oder fehlende \u00F6ffnende Klammer",MissingLeftExtraRight:"Fehlendes '\\left' oder zus\u00E4tzliches '\\right'",MissingScript:"Fehlendes Argument im Hoch- oder Tiefstellen",ExtraLeftMissingRight:"Zus\u00E4tzliches '\\left' oder fehlendes '\\right'",Misplaced:"%1 falsch gesetzt",MissingOpenForSub:"Fehlende \u00F6ffnende Klammer beim Tiefstellen",MissingOpenForSup:"Fehlende \u00F6ffnende Klammer beim Hochstellen",AmbiguousUseOf:"Mehrdeutige Verwendung von %1",EnvBadEnd:"\\begin{%1} endet mit \\end{%2}",EnvMissingEnd:"\\end{%1} fehlt",MissingBoxFor:"Fehlender Rahmen f\u00FCr: %1",MissingCloseBrace:"Fehlende schlie\u00DFende Klammer",UndefinedControlSequence:"Nicht definierter Befehl: %1",DoubleExponent:"Doppeltes Hochstellen: Klammern f\u00FCr eine eindeutige Zuordnung verwenden",DoubleSubscripts:"Doppeltes Tiefstellen: Klammern f\u00FCr eine eindeutige Zuordnung verwenden",DoubleExponentPrime:"Prime f\u00FChrt zu doppeltem Hochstellen: Klammern f\u00FCr eine eindeutige Zuordnung verwenden",CantUseHash1:"Das Zeichen '#' ist ein Makroparameter und kann nicht im Mathematikmodus verwendet werden.",MisplacedMiddle:"%1 muss zwischen '\\left' und '\\right' stehen",MisplacedLimits:"%1 ist nur bei Operatoren erlaubt",MisplacedMoveRoot:"%1 muss innerhalb einer Wurzel stehen",MultipleCommand:"Zu viele %1",IntegerArg:"Das Argument in %1 muss ganzzahlig sein",NotMathMLToken:"%1 ist kein Token-Element",InvalidMathMLAttr:"Unzul\u00E4ssiges MathML-Attribut: %1",UnknownAttrForElement:"%1 ist kein zul\u00E4ssiges Attribut f\u00FCr %2",MaxMacroSub1:"Maximale Anzahl an Makro-Ersetzungen ist erreicht; wird ein rekursiver Makroaufruf verwendet?",MaxMacroSub2:"Maximale Anzahl an Ersetzungen ist erreicht; wird eine rekursive LaTeX-Umgebung verwendet?",MissingArgFor:"Fehlendes Argument in %1",ExtraAlignTab:"Zus\u00E4tzlicher Ausrichtungstabulator im '\\cases' Text",BracketMustBeDimension:"Das Klammer-Argument f\u00FCr %1 muss eine Dimension sein",InvalidEnv:"Ung\u00FCltiger Umgebungsname: \u201E%1\u201C",UnknownEnv:"Ung\u00FCltige Umgebung: \u201E%1\u201C",ExtraCloseLooking:"Zus\u00E4tzliche schlie\u00DFende Klammer w\u00E4hrend der Suche nach %1",MissingCloseBracket:"Argument zu %1 wurde nicht mit ']' geschlossen",MissingOrUnrecognizedDelim:"Fehlendes oder nicht erkanntes Begrenzungszeichen bei %1",MissingDimOrUnits:"Fehlende Dimension oder Einheiten bei %1",TokenNotFoundForCommand:"Konnte %1 nicht f\u00FCr %2 finden",MathNotTerminated:"Mathematischer Ausdruck im Textfeld nicht abgeschlossen",IllegalMacroParam:"Ung\u00FCltiger Makroparameterbezug",MaxBufferSize:"Interne Puffergr\u00F6\u00DFe \u00FCberschritten; wird ein rekursiver Makroaufruf verwendet?",CommandNotAllowedInEnv:"%1 ist in der Umgebung %2 nicht erlaubt",MultipleLabel:"Bezeichner '%1' mehrfach definiert",CommandAtTheBeginingOfLine:"%1 muss am Zeilenanfang stehen",IllegalAlign:"Ung\u00FCltige Ausrichtung in %1",BadMathStyleFor:"Falsches \u201Emath style\u201C-Argument: %1",PositiveIntegerArg:"Das Argument zu %1 muss eine positive Ganzzahl sein",ErroneousNestingEq:"Fehlerhafte Verschachtelung von Gleichungen",MultlineRowsOneCol:"Zeilen in der %1-Umgebung m\u00FCssen genau eine Spalte haben",MultipleBBoxProperty:"%1 wurde zweimal in %2 angegeben",InvalidBBoxProperty:"'%1' scheint keine Farbe, Abstands-Dimension oder Stil zu sein",ExtraEndMissingBegin:"Zus\u00E4tzliches %1 oder fehlendes \\begingroup",GlobalNotFollowedBy:"'%1' nicht von '\\let', '\\def' oder '\\newcommand' gefolgt",UndefinedColorModel:"Farbmodell '%1' nicht definiert",ModelArg1:"Farbwerte f\u00FCr Farbmodell '%1' ben\u00F6tigen 3 Werte",InvalidDecimalNumber:"Ung\u00FCltige Dezimalzahl",ModelArg2:"Farbwerte f\u00FCr Farbmodell '%1' m\u00FCssen zwischen %2 und %3 liegen",InvalidNumber:"Ung\u00FCltige Zahl",NewextarrowArg1:"Das erste Argument von %1 muss Name einer Befehlsfolge sein",NewextarrowArg2:"Zweites Argument von %1 m\u00FCssen zwei ganze Zahlen sein, durch Komma getrennt",NewextarrowArg3:"Das dritte Argument von %1 muss die Nummer eines Unicode-Zeichens sein",NoClosingChar:"Kann schlie\u00DFende %1 nicht finden",IllegalControlSequenceName:"Ung\u00FCltige Befehlsfolge f\u00FCr %1",IllegalParamNumber:"Ung\u00FCltige Anzahl von Parametern in %1",MissingCS:"%1 muss von Befehlsfolge gefolgt werden",CantUseHash2:"Ung\u00FCltige Verwendung von # in Definition von %1",SequentialParam:"Parameter von %1 m\u00FCssen fortlaufend nummeriert sein",MissingReplacementString:"Ersetzende Zeichenkette f\u00FCr Definition von %1 fehlt",MismatchUseDef:"Verwendung von %1 passt nicht zur Definition",RunawayArgument:"Nichtgeschlossenes Argument f\u00FCr %1?",NoClosingDelim:"Kein schlie\u00DFendes Begrenzungszeichen f\u00FCr %1 gefunden"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/TeX.js");
+MathJax.Localization.addTranslation("de","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Zus\u00E4tzliche \u00F6ffnende, oder fehlende schlie\u00DFende Klammer",ExtraCloseMissingOpen:"Zus\u00E4tzliche schlie\u00DFende, oder fehlende \u00F6ffnende Klammer",MissingLeftExtraRight:"Fehlendes '\\left' oder zus\u00E4tzliches '\\right'",MissingScript:"Fehlendes Argument im Hoch- oder Tiefstellen",ExtraLeftMissingRight:"Zus\u00E4tzliches '\\left' oder fehlendes '\\right'",Misplaced:"%1 falsch gesetzt",MissingOpenForSub:"Fehlende \u00F6ffnende Klammer beim Tiefstellen",MissingOpenForSup:"Fehlende \u00F6ffnende Klammer beim Hochstellen",AmbiguousUseOf:"Mehrdeutige Verwendung von %1",EnvBadEnd:"\\begin{%1} endet mit \\end{%2}",EnvMissingEnd:"\\end{%1} fehlt",MissingBoxFor:"Fehlender Rahmen f\u00FCr: %1",MissingCloseBrace:"Fehlende schlie\u00DFende Klammer",UndefinedControlSequence:"Nicht definierter Befehl: %1",DoubleExponent:"Doppeltes Hochstellen: Klammern f\u00FCr eine eindeutige Zuordnung verwenden",DoubleSubscripts:"Doppeltes Tiefstellen: Klammern f\u00FCr eine eindeutige Zuordnung verwenden",DoubleExponentPrime:"Prime f\u00FChrt zu doppeltem Hochstellen: Klammern f\u00FCr eine eindeutige Zuordnung verwenden",CantUseHash1:"Das Zeichen '#' ist ein Makroparameter und kann nicht im Mathematikmodus verwendet werden.",MisplacedMiddle:"%1 muss zwischen '\\left' und '\\right' stehen",MisplacedLimits:"%1 ist nur bei Operatoren erlaubt",MisplacedMoveRoot:"%1 muss innerhalb einer Wurzel stehen",MultipleCommand:"Zu viele %1",IntegerArg:"Das Argument in %1 muss ganzzahlig sein",NotMathMLToken:"%1 ist kein Token-Element",InvalidMathMLAttr:"Unzul\u00E4ssiges MathML-Attribut: %1",UnknownAttrForElement:"%1 ist kein zul\u00E4ssiges Attribut f\u00FCr %2",MaxMacroSub1:"Maximale Anzahl an Makro-Ersetzungen ist erreicht; wird ein rekursiver Makroaufruf verwendet?",MaxMacroSub2:"Maximale Anzahl an Ersetzungen ist erreicht; wird eine rekursive LaTeX-Umgebung verwendet?",MissingArgFor:"Fehlendes Argument in %1",ExtraAlignTab:"Zus\u00E4tzlicher Ausrichtungstabulator im '\\cases' Text",BracketMustBeDimension:"Das Klammer-Argument f\u00FCr %1 muss eine Dimension sein",InvalidEnv:"Ung\u00FCltiger Umgebungsname: \u201E%1\u201C",UnknownEnv:"Ung\u00FCltige Umgebung: \u201E%1\u201C",ExtraCloseLooking:"Zus\u00E4tzliche schlie\u00DFende Klammer w\u00E4hrend der Suche nach %1",MissingCloseBracket:"Argument zu %1 wurde nicht mit ']' geschlossen",MissingOrUnrecognizedDelim:"Fehlendes oder nicht erkanntes Begrenzungszeichen bei %1",MissingDimOrUnits:"Fehlende Dimension oder Einheiten bei %1",TokenNotFoundForCommand:"Konnte %1 nicht f\u00FCr %2 finden",MathNotTerminated:"Mathematischer Ausdruck im Textfeld nicht abgeschlossen",IllegalMacroParam:"Ung\u00FCltiger Makroparameterbezug",MaxBufferSize:"Interne Puffergr\u00F6\u00DFe \u00FCberschritten; wird ein rekursiver Makroaufruf verwendet?",CommandNotAllowedInEnv:"%1 ist in der Umgebung %2 nicht erlaubt",MultipleLabel:"Bezeichner '%1' mehrfach definiert",CommandAtTheBeginingOfLine:"%1 muss am Zeilenanfang stehen",IllegalAlign:"Ung\u00FCltige Ausrichtung in %1",BadMathStyleFor:"Falsches \u201Emath style\u201C-Argument: %1",PositiveIntegerArg:"Das Argument zu %1 muss eine positive Ganzzahl sein",ErroneousNestingEq:"Fehlerhafte Verschachtelung von Gleichungen",MultlineRowsOneCol:"Zeilen in der %1-Umgebung m\u00FCssen genau eine Spalte haben",MultipleBBoxProperty:"%1 wurde zweimal in %2 angegeben",InvalidBBoxProperty:"'%1' scheint keine Farbe, Abstands-Dimension oder Stil zu sein",ExtraEndMissingBegin:"Zus\u00E4tzliches %1 oder fehlendes \\begingroup",GlobalNotFollowedBy:"'%1' nicht von '\\let', '\\def' oder '\\newcommand' gefolgt",UndefinedColorModel:"Farbmodell '%1' nicht definiert",ModelArg1:"Farbwerte f\u00FCr Farbmodell '%1' ben\u00F6tigen 3 Werte",InvalidDecimalNumber:"Ung\u00FCltige Dezimalzahl",ModelArg2:"Farbwerte f\u00FCr Farbmodell '%1' m\u00FCssen zwischen %2 und %3 liegen",InvalidNumber:"Ung\u00FCltige Zahl",NewextarrowArg1:"Das erste Argument von %1 muss Name einer Befehlsfolge sein",NewextarrowArg2:"Zweites Argument von %1 m\u00FCssen zwei ganze Zahlen sein, durch Komma getrennt",NewextarrowArg3:"Das dritte Argument von %1 muss die Nummer eines Unicode-Zeichens sein",NoClosingChar:"Kann schlie\u00DFende %1 nicht finden",IllegalControlSequenceName:"Ung\u00FCltige Befehlsfolge f\u00FCr %1",IllegalParamNumber:"Ung\u00FCltige Anzahl von Parametern in %1",MissingCS:"%1 muss von Befehlsfolge gefolgt werden",CantUseHash2:"Ung\u00FCltige Verwendung von # in Definition von %1",SequentialParam:"Parameter von %1 m\u00FCssen fortlaufend nummeriert sein",MissingReplacementString:"Ersetzende Zeichenkette f\u00FCr Definition von %1 fehlt",MismatchUseDef:"Verwendung von %1 passt nicht zur Definition",RunawayArgument:"Nichtgeschlossenes Argument f\u00FCr %1?",NoClosingDelim:"Kein schlie\u00DFendes Begrenzungszeichen f\u00FCr %1 gefunden"}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/TeX.js");
diff --git a/localization/de/de.js b/localization/de/de.js
index 13a83448e8..0a5313309a 100644
--- a/localization/de/de.js
+++ b/localization/de/de.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/de/de.js
+ *  /MathJax-v2/localization/de/de.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("de",null,{menuTitle:"Deutsch",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax hat eine Cookie mit ausf\u00FChrbaren Code gefunden. Soll dieser Code ausgef\u00FChrt werden?\n\n(Klicken Sie 'Abbrechen' falls Sie das Cookie nicht selber akzeptiert haben.)",MathProcessingError:"Fehler bei der Verarbeitung des mathematischen Ausdrucks",MathError:"Fehler im mathematischen Ausdruck",LoadFile:"Lade %1",Loading:"Lade",LoadFailed:"Datei konnte nicht geladen werden: %1",ProcessMath:"Verarbeite mathematischen Ausdruck: %1%%",Processing:"Verarbeite",TypesetMath:"mathematischer Ausdruck wird gesetzt: %1%%",Typesetting:"Formelsatz",MathJaxNotSupported:"Ihr Webbrowser unterst\u00FCtzt MathJax nicht",ErrorTips:"Fehlerbehebungs-Tipps: Verwende %%1, pr\u00FCfe %%2 in der Browserkonsole"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/de.js");
+MathJax.Localization.addTranslation("de",null,{menuTitle:"Deutsch",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax hat eine Cookie mit ausf\u00FChrbaren Code gefunden. Soll dieser Code ausgef\u00FChrt werden?\n\n(Klicken Sie 'Abbrechen' falls Sie das Cookie nicht selber akzeptiert haben.)",MathProcessingError:"Fehler bei der Verarbeitung des mathematischen Ausdrucks",MathError:"Fehler im mathematischen Ausdruck",LoadFile:"Lade %1",Loading:"Lade",LoadFailed:"Datei konnte nicht geladen werden: %1",ProcessMath:"Verarbeite mathematischen Ausdruck: %1%%",Processing:"Verarbeite",TypesetMath:"mathematischer Ausdruck wird gesetzt: %1%%",Typesetting:"Formelsatz",MathJaxNotSupported:"Ihr Webbrowser unterst\u00FCtzt MathJax nicht",ErrorTips:"Fehlerbehebungs-Tipps: Verwende %%1, pr\u00FCfe %%2 in der Browserkonsole"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/de/de.js");
diff --git a/localization/diq/FontWarnings.js b/localization/diq/FontWarnings.js
index c396a23160..140446a8ef 100644
--- a/localization/diq/FontWarnings.js
+++ b/localization/diq/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/diq/FontWarnings.js
+ *  /MathJax-v2/localization/diq/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("diq","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/FontWarnings.js");
+MathJax.Localization.addTranslation("diq","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/FontWarnings.js");
diff --git a/localization/diq/HTML-CSS.js b/localization/diq/HTML-CSS.js
index 257ed66838..bd338fc76a 100644
--- a/localization/diq/HTML-CSS.js
+++ b/localization/diq/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/diq/HTML-CSS.js
+ *  /MathJax-v2/localization/diq/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("diq","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Web font %1 bar beno",CantLoadWebFont:"Font\u00EA web\u00EA %1'i bar n\u00EAb\u0131"}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/HTML-CSS.js");
+MathJax.Localization.addTranslation("diq","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Web font %1 bar beno",CantLoadWebFont:"Font\u00EA web\u00EA %1'i bar n\u00EAb\u0131"}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/HTML-CSS.js");
diff --git a/localization/diq/HelpDialog.js b/localization/diq/HelpDialog.js
index 2eec3cca03..5b579751f4 100644
--- a/localization/diq/HelpDialog.js
+++ b/localization/diq/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/diq/HelpDialog.js
+ *  /MathJax-v2/localization/diq/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("diq","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/HelpDialog.js");
+MathJax.Localization.addTranslation("diq","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/HelpDialog.js");
diff --git a/localization/diq/MathML.js b/localization/diq/MathML.js
index c6db70cab9..9336162480 100644
--- a/localization/diq/MathML.js
+++ b/localization/diq/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/diq/MathML.js
+ *  /MathJax-v2/localization/diq/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("diq","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/MathML.js");
+MathJax.Localization.addTranslation("diq","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/MathML.js");
diff --git a/localization/diq/MathMenu.js b/localization/diq/MathMenu.js
index 600df7d205..9a6e10863e 100644
--- a/localization/diq/MathMenu.js
+++ b/localization/diq/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/diq/MathMenu.js
+ *  /MathJax-v2/localization/diq/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("diq","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Zey tebir\u00EA matematik\u00EAni b\u0131mocne",MathMLcode:"MathML kod",OriginalMathML:"Original MathML",TeXCommands:"Direktif\u00EA TeXi",AsciiMathInput:"Dekerd\u0131\u015F\u00EA AsciiMathML",Original:"Formo oricinal",ErrorMessage:"Mesac\u00EA x\u0131rabi",Annotation:"Not",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Zerreka MathML",OpenMath:"OpenMath",texHints:"MathML' de sopan\u00EA TeX'i b\u0131vin",Settings:"Saz\u00EA Math",ZoomTrigger:"Zoom trigger",Hover:"V\u0131rderiyen",Click:"T\u0131knay\u0131\u015F",DoubleClick:"D\u0131rey-t\u0131knay\u0131\u015F",NoZoom:"Zoom mek",TriggerRequires:"\u0130cab\u00EA Triggeri:",Option:"We\u00E7inegi",Alt:"B\u0131n",Command:"Komuta",Control:"Qontrol",Shift:"Shift",ZoomFactor:"Faktora zoomi",Renderer:"Matematik v\u0131ra\u015Fto\u011F",MenuEvents:"Hedisey\u00EA menuyi",MouseEvents:"Faaliyet\u00EA meriy",MenuAndMouse:"Faaliyet\u00EA meriy u menuy",FontPrefs:"Tercih\u00E9 qelem",ForHTMLCSS:"Qand\u00E9 HTML-CSS:",Auto:"Otomatik",TeXLocal:"TeX (Lokal)",TeXWeb:"TeX (Web)",TeXImage:"TeX (res\u0131m)",STIXLocal:"STIX (Lokal)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latin Modern (Web)",NeoEulerWeb:"Neo Euler (Web)",ContextMenu:"Kontextmen\u00FC",Browser:"Browser",Locale:"Z\u0131wan",LoadLocale:"URL ra bar beno...",About:"Heqd\u00E9 MathJax",Help:"Pe\u015Ftia MathJaxi",localTeXfonts:"Lokal font\u00EA TeXi b\u0131karne",webTeXfonts:"Web font\u00EA TeXi b\u0131karn\u00EA",imagefonts:"Font\u00EA resimi b\u0131karne",localSTIXfonts:"Lokal font\u00EA STIXi b\u0131karne",webSVGfonts:"Web font\u00EA SVGy b\u0131karne",genericfonts:"Generik font\u00EA Unicodi b\u0131karne",wofforotffonts:"Font\u00EA WOFF yana OTF",eotffonts:"EOT fonti",svgfonts:"SVG fonti",NoOriginalForm:"Original form mewcud niyo",Close:"Racn\u00EA",EqSource:"Denklema \u00E7\u0131me ya MathJax'i"}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/MathMenu.js");
+MathJax.Localization.addTranslation("diq","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Zey tebir\u00EA matematik\u00EAni b\u0131mocne",MathMLcode:"MathML kod",OriginalMathML:"Original MathML",TeXCommands:"Direktif\u00EA TeXi",AsciiMathInput:"Dekerd\u0131\u015F\u00EA AsciiMathML",Original:"Formo oricinal",ErrorMessage:"Mesac\u00EA x\u0131rabi",Annotation:"Not",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Zerreka MathML",OpenMath:"OpenMath",texHints:"MathML' de sopan\u00EA TeX'i b\u0131vin",Settings:"Saz\u00EA Math",ZoomTrigger:"Zoom trigger",Hover:"V\u0131rderiyen",Click:"T\u0131knay\u0131\u015F",DoubleClick:"D\u0131rey-t\u0131knay\u0131\u015F",NoZoom:"Zoom mek",TriggerRequires:"\u0130cab\u00EA Triggeri:",Option:"We\u00E7inegi",Alt:"B\u0131n",Command:"Komuta",Control:"Qontrol",Shift:"Shift",ZoomFactor:"Faktora zoomi",Renderer:"Matematik v\u0131ra\u015Fto\u011F",MenuEvents:"Hedisey\u00EA menuyi",MouseEvents:"Faaliyet\u00EA meriy",MenuAndMouse:"Faaliyet\u00EA meriy u menuy",FontPrefs:"Tercih\u00E9 qelem",ForHTMLCSS:"Qand\u00E9 HTML-CSS:",Auto:"Otomatik",TeXLocal:"TeX (Lokal)",TeXWeb:"TeX (Web)",TeXImage:"TeX (res\u0131m)",STIXLocal:"STIX (Lokal)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latin Modern (Web)",NeoEulerWeb:"Neo Euler (Web)",ContextMenu:"Kontextmen\u00FC",Browser:"Browser",Locale:"Z\u0131wan",LoadLocale:"URL ra bar beno...",About:"Heqd\u00E9 MathJax",Help:"Pe\u015Ftia MathJaxi",localTeXfonts:"Lokal font\u00EA TeXi b\u0131karne",webTeXfonts:"Web font\u00EA TeXi b\u0131karn\u00EA",imagefonts:"Font\u00EA resimi b\u0131karne",localSTIXfonts:"Lokal font\u00EA STIXi b\u0131karne",webSVGfonts:"Web font\u00EA SVGy b\u0131karne",genericfonts:"Generik font\u00EA Unicodi b\u0131karne",wofforotffonts:"Font\u00EA WOFF yana OTF",eotffonts:"EOT fonti",svgfonts:"SVG fonti",NoOriginalForm:"Original form mewcud niyo",Close:"Racn\u00EA",EqSource:"Denklema \u00E7\u0131me ya MathJax'i"}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/MathMenu.js");
diff --git a/localization/diq/TeX.js b/localization/diq/TeX.js
index 322e3ac7bf..47b5548669 100644
--- a/localization/diq/TeX.js
+++ b/localization/diq/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/diq/TeX.js
+ *  /MathJax-v2/localization/diq/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("diq","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/TeX.js");
+MathJax.Localization.addTranslation("diq","TeX",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/TeX.js");
diff --git a/localization/diq/diq.js b/localization/diq/diq.js
index 8ede903fc0..e956ad1fd5 100644
--- a/localization/diq/diq.js
+++ b/localization/diq/diq.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/diq/diq.js
+ *  /MathJax-v2/localization/diq/diq.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("diq",null,{menuTitle:"Zazaki",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"X\u0131raba kar\u00EA matematiki",MathError:"Xetay matematiki",LoadFile:"%1 Bar keri",Loading:"Bar beno",LoadFailed:"Dosyay bar nebi: %1",ProcessMath:"Matematik neq\u0131\u015F kerden: %1%%",Processing:"Kar\u00EAno...",TypesetMath:"Tewr\u00EA eyar\u00EA matematiki:%1",Typesetting:"Eyar\u00EA tewri",MathJaxNotSupported:"Rov\u0131tera \u015F\u0131ma MathJax'i n\u00EAgurweyne na"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/diq.js");
+MathJax.Localization.addTranslation("diq",null,{menuTitle:"Zazaki",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"X\u0131raba kar\u00EA matematiki",MathError:"Xetay matematiki",LoadFile:"%1 Bar keri",Loading:"Bar beno",LoadFailed:"Dosyay bar nebi: %1",ProcessMath:"Matematik neq\u0131\u015F kerden: %1%%",Processing:"Kar\u00EAno...",TypesetMath:"Tewr\u00EA eyar\u00EA matematiki:%1",Typesetting:"Eyar\u00EA tewri",MathJaxNotSupported:"Rov\u0131tera \u015F\u0131ma MathJax'i n\u00EAgurweyne na"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/diq/diq.js");
diff --git a/localization/en/FontWarnings.js b/localization/en/FontWarnings.js
index 7cc3d01c8e..2abcd1e4c5 100644
--- a/localization/en/FontWarnings.js
+++ b/localization/en/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/en/FontWarnings.js
+ *  /MathJax-v2/localization/en/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax is using web-based fonts to display the mathematics on this page.  These take time to download, so the page would render faster if you installed math fonts directly in your system's font folder.",imageFonts:"MathJax is using its image fonts rather than local or web-based fonts. This will render slower than usual, and the mathematics may not print at the full resolution of your printer.",noFonts:"MathJax is unable to locate a font to use to display its mathematics, and image fonts are not available, so it is falling back on generic Unicode characters in hopes that your browser will be able to display them. Some characters may not show up properly, or possibly not at all.",webFonts:"Most modern browsers allow for fonts to be downloaded over the web. Updating to a more recent version of your browser (or changing browsers) could improve the quality of the mathematics on this page.",fonts:"MathJax can use either the [STIX fonts](%1) or the [MathJax TeX fonts](%2).  Download and install one of those fonts to improve your MathJax experience.",STIXPage:"This page is designed to use the [STIX fonts](%1).  Download and install those fonts to improve your MathJax experience.",TeXPage:"This page is designed to use the [MathJax TeX fonts](%1).  Download and install those fonts to improve your MathJax experience."}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/FontWarnings.js");
+MathJax.Localization.addTranslation("en","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax is using web-based fonts to display the mathematics on this page.  These take time to download, so the page would render faster if you installed math fonts directly in your system's font folder.",imageFonts:"MathJax is using its image fonts rather than local or web-based fonts. This will render slower than usual, and the mathematics may not print at the full resolution of your printer.",noFonts:"MathJax is unable to locate a font to use to display its mathematics, and image fonts are not available, so it is falling back on generic Unicode characters in hopes that your browser will be able to display them. Some characters may not show up properly, or possibly not at all.",webFonts:"Most modern browsers allow for fonts to be downloaded over the web. Updating to a more recent version of your browser (or changing browsers) could improve the quality of the mathematics on this page.",fonts:"MathJax can use either the [STIX fonts](%1) or the [MathJax TeX fonts](%2).  Download and install one of those fonts to improve your MathJax experience.",STIXPage:"This page is designed to use the [STIX fonts](%1).  Download and install those fonts to improve your MathJax experience.",TeXPage:"This page is designed to use the [MathJax TeX fonts](%1).  Download and install those fonts to improve your MathJax experience."}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/FontWarnings.js");
diff --git a/localization/en/HTML-CSS.js b/localization/en/HTML-CSS.js
index fa631f3a3e..43e711f314 100644
--- a/localization/en/HTML-CSS.js
+++ b/localization/en/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/en/HTML-CSS.js
+ *  /MathJax-v2/localization/en/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Loading web font %1",CantLoadWebFont:"Cannot load web font %1",FirefoxCantLoadWebFont:"Firefox cannot load web fonts from a remote host",CantFindFontUsing:"Cannot find a valid font using %1",WebFontsNotAvailable:"Web fonts not available. Using image fonts instead"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/HTML-CSS.js");
+MathJax.Localization.addTranslation("en","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Loading web font %1",CantLoadWebFont:"Cannot load web font %1",FirefoxCantLoadWebFont:"Firefox cannot load web fonts from a remote host",CantFindFontUsing:"Cannot find a valid font using %1",WebFontsNotAvailable:"Web fonts not available. Using image fonts instead"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/HTML-CSS.js");
diff --git a/localization/en/HelpDialog.js b/localization/en/HelpDialog.js
index 6c89ef4c46..7b88fa903f 100644
--- a/localization/en/HelpDialog.js
+++ b/localization/en/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/en/HelpDialog.js
+ *  /MathJax-v2/localization/en/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax Help",MathJax:"*MathJax* is a JavaScript library that allows page authors to include mathematics within their web pages. As a reader, you do not need to do anything to make that happen.",Browsers:"*Browsers*: MathJax works with all modern browsers including IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ and most mobile browsers.",Menu:"*Math menu*: MathJax adds a contextual menu to equations. Right-click or Ctrl-click on any mathematics to access the menu.",ShowMath:"*Show math as* allows you to view the formula's source markup for copy \u0026 paste (as MathML or in its original format).",Settings:"*Settings* gives you control over features of MathJax, such as the size of the mathematics, and the mechanism used to display equations.",Language:"*Language* lets you select the language used by MathJax for its menus and warning messages.",Zoom:"*Math zoom*: If you are having difficulty reading an equation, MathJax can enlarge it to help you see it better.",Accessibilty:"*Accessibility*: MathJax will automatically work with screen readers to make mathematics accessible to the visually impaired.",Fonts:"*Fonts*: MathJax will use certain math fonts if they are installed on your computer; otherwise, it will use web-based fonts. Although not required, locally installed fonts will speed up typesetting. We suggest installing the [STIX fonts](%1).",CloseDialog:"Close help dialog"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/HelpDialog.js");
+MathJax.Localization.addTranslation("en","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"MathJax Help",MathJax:"*MathJax* is a JavaScript library that allows page authors to include mathematics within their web pages. As a reader, you do not need to do anything to make that happen.",Browsers:"*Browsers*: MathJax works with all modern browsers including IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ and most mobile browsers.",Menu:"*Math menu*: MathJax adds a contextual menu to equations. Right-click or Ctrl-click on any mathematics to access the menu.",ShowMath:"*Show math as* allows you to view the formula's source markup for copy \u0026 paste (as MathML or in its original format).",Settings:"*Settings* gives you control over features of MathJax, such as the size of the mathematics, and the mechanism used to display equations.",Language:"*Language* lets you select the language used by MathJax for its menus and warning messages.",Zoom:"*Math zoom*: If you are having difficulty reading an equation, MathJax can enlarge it to help you see it better.",Accessibilty:"*Accessibility*: MathJax will automatically work with screen readers to make mathematics accessible to the visually impaired.",Fonts:"*Fonts*: MathJax will use certain math fonts if they are installed on your computer; otherwise, it will use web-based fonts. Although not required, locally installed fonts will speed up typesetting. We suggest installing the [STIX fonts](%1).",CloseDialog:"Close help dialog"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/HelpDialog.js");
diff --git a/localization/en/MathML.js b/localization/en/MathML.js
index 4f06b7343c..2f5aa16a54 100644
--- a/localization/en/MathML.js
+++ b/localization/en/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/en/MathML.js
+ *  /MathJax-v2/localization/en/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Bad mglyph: %1",BadMglyphFont:"Bad font: %1",MathPlayer:"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX\ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics",CantCreateXMLParser:"MathJax cannot create an XML parser for MathML. Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax",UnknownNodeType:"Unknown node type: %1",UnexpectedTextNode:"Unexpected text node: %1",ErrorParsingMathML:"Error parsing MathML",ParsingError:"Error parsing MathML: %1",MathMLSingleElement:"MathML must be formed by a single element",MathMLRootElement:"MathML must be formed by a \u003Cmath\u003E element, not %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/MathML.js");
+MathJax.Localization.addTranslation("en","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"Bad mglyph: %1",BadMglyphFont:"Bad font: %1",MathPlayer:"MathJax was not able to set up MathPlayer.\n\nIf MathPlayer is not installed, you need to install it first.\nOtherwise, your security settings may be preventing ActiveX\ncontrols from running. Use the Internet Options item under\nthe Tools menu and select the Security tab, then press the\nCustom Level button. Check that the settings for\n'Run ActiveX Controls', and 'Binary and script behaviors'\nare enabled.\n\nCurrently you will see error messages rather than\ntypeset mathematics",CantCreateXMLParser:"MathJax cannot create an XML parser for MathML. Check that\nthe 'Script ActiveX controls marked safe for scripting' security\nsetting is enabled (use the Internet Options item in the Tools\nmenu, and select the Security panel, then press the Custom Level\nbutton to check this).\n\nMathML equations will not be able to be processed by MathJax",UnknownNodeType:"Unknown node type: %1",UnexpectedTextNode:"Unexpected text node: %1",ErrorParsingMathML:"Error parsing MathML",ParsingError:"Error parsing MathML: %1",MathMLSingleElement:"MathML must be formed by a single element",MathMLRootElement:"MathML must be formed by a \u003Cmath\u003E element, not %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/MathML.js");
diff --git a/localization/en/MathMenu.js b/localization/en/MathMenu.js
index 1963082677..802003398c 100644
--- a/localization/en/MathMenu.js
+++ b/localization/en/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/en/MathMenu.js
+ *  /MathJax-v2/localization/en/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Show math as",MathMLcode:"MathML code",OriginalMathML:"Original MathML",TeXCommands:"TeX commands",AsciiMathInput:"AsciiMathML input",Original:"Original form",ErrorMessage:"Error message",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Show TeX hints in MathML",Settings:"Math settings",ZoomTrigger:"Zoom trigger",Hover:"Hover",Click:"Click",DoubleClick:"Double-click",NoZoom:"No zoom",TriggerRequires:"Trigger requires:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Zoom factor",Renderer:"Math renderer",MPHandles:"Let MathPlayer handle:",MenuEvents:"Menu events",MouseEvents:"Mouse events",MenuAndMouse:"Mouse and menu events",FontPrefs:"Font preferences",ForHTMLCSS:"For HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (image)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Contextual menu",Browser:"Browser",Scale:"Scale all math ...",Discoverable:"Highlight on hover",Locale:"Language",LoadLocale:"Load from URL ...",About:"About MathJax",Help:"MathJax help",localTeXfonts:"using local TeX fonts",webTeXfonts:"using web TeX font",imagefonts:"using Image fonts",localSTIXfonts:"using local STIX fonts",webSVGfonts:"using web SVG fonts",genericfonts:"using generic Unicode fonts",wofforotffonts:"WOFF or OTF fonts",eotffonts:"EOT fonts",svgfonts:"SVG fonts",WebkitNativeMMLWarning:"Your browser does not seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable",MSIENativeMMLWarning:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",OperaNativeMMLWarning:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",SafariNativeMMLWarning:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly.",FirefoxNativeMMLWarning:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly.",MSIESVGWarning:"SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly.",LoadURL:"Load translation data from this URL:",BadURL:"The URL should be for a JavaScript file that defines MathJax translation data. JavaScript file names should end with '.js'",BadData:"Failed to load translation data from %1",SwitchAnyway:"Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)",ScaleMath:"Scale all mathematics (compared to surrounding text) by",NonZeroScale:"The scale should not be zero",PercentScale:"The scale should be a percentage (for example 120%%)",IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead.",NoOriginalForm:"No original form available",Close:"Close",EqSource:"MathJax Equation Source",CloseAboutDialog:"Close about MathJax dialog",FastPreview:"Fast Preview",AssistiveMML:"Assistive MathML",InTabOrder:"Include in Tab Order"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/MathMenu.js");
+MathJax.Localization.addTranslation("en","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Show math as",MathMLcode:"MathML code",OriginalMathML:"Original MathML",TeXCommands:"TeX commands",AsciiMathInput:"AsciiMathML input",Original:"Original form",ErrorMessage:"Error message",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Show TeX hints in MathML",Settings:"Math settings",ZoomTrigger:"Zoom trigger",Hover:"Hover",Click:"Click",DoubleClick:"Double-click",NoZoom:"No zoom",TriggerRequires:"Trigger requires:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Zoom factor",Renderer:"Math renderer",MPHandles:"Let MathPlayer handle:",MenuEvents:"Menu events",MouseEvents:"Mouse events",MenuAndMouse:"Mouse and menu events",FontPrefs:"Font preferences",ForHTMLCSS:"For HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (image)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Contextual menu",Browser:"Browser",Scale:"Scale all math ...",Discoverable:"Highlight on hover",Locale:"Language",LoadLocale:"Load from URL ...",About:"About MathJax",Help:"MathJax help",localTeXfonts:"using local TeX fonts",webTeXfonts:"using web TeX font",imagefonts:"using Image fonts",localSTIXfonts:"using local STIX fonts",webSVGfonts:"using web SVG fonts",genericfonts:"using generic Unicode fonts",wofforotffonts:"WOFF or OTF fonts",eotffonts:"EOT fonts",svgfonts:"SVG fonts",WebkitNativeMMLWarning:"Your browser does not seem to support MathML natively, so switching to MathML output may cause the mathematics on the page to become unreadable",MSIENativeMMLWarning:"Internet Explorer requires the MathPlayer plugin in order to process MathML output.",OperaNativeMMLWarning:"Opera's support for MathML is limited, so switching to MathML output may cause some expressions to render poorly.",SafariNativeMMLWarning:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly.",FirefoxNativeMMLWarning:"Your browser's native MathML does not implement all the features used by MathJax, so some expressions may not render properly.",MSIESVGWarning:"SVG is not implemented in Internet Explorer prior to IE9 or when it is emulating IE8 or below. Switching to SVG output will cause the mathematics to not display properly.",LoadURL:"Load translation data from this URL:",BadURL:"The URL should be for a JavaScript file that defines MathJax translation data. JavaScript file names should end with '.js'",BadData:"Failed to load translation data from %1",SwitchAnyway:"Switch the renderer anyway?\n\n(Press OK to switch, CANCEL to continue with the current renderer)",ScaleMath:"Scale all mathematics (compared to surrounding text) by",NonZeroScale:"The scale should not be zero",PercentScale:"The scale should be a percentage (for example 120%%)",IE8warning:"This will disable the MathJax menu and zoom features, but you can Alt-Click on an expression to obtain the MathJax menu instead.\n\nReally change the MathPlayer settings?",IE9warning:"The MathJax contextual menu will be disabled, but you can Alt-Click on an expression to obtain the MathJax menu instead.",NoOriginalForm:"No original form available",Close:"Close",EqSource:"MathJax Equation Source",CloseAboutDialog:"Close about MathJax dialog",FastPreview:"Fast Preview",AssistiveMML:"Assistive MathML",InTabOrder:"Include in Tab Order"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/MathMenu.js");
diff --git a/localization/en/TeX.js b/localization/en/TeX.js
index 6932ad6535..c6aad0b975 100644
--- a/localization/en/TeX.js
+++ b/localization/en/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/en/TeX.js
+ *  /MathJax-v2/localization/en/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Extra open brace or missing close brace",ExtraCloseMissingOpen:"Extra close brace or missing open brace",MissingLeftExtraRight:"Missing \\left or extra \\right",MissingScript:"Missing superscript or subscript argument",ExtraLeftMissingRight:"Extra \\left or missing \\right",Misplaced:"Misplaced %1",MissingOpenForSub:"Missing open brace for subscript",MissingOpenForSup:"Missing open brace for superscript",AmbiguousUseOf:"Ambiguous use of %1",EnvBadEnd:"\\begin{%1} ended with \\end{%2}",EnvMissingEnd:"Missing \\end{%1}",MissingBoxFor:"Missing box for %1",MissingCloseBrace:"Missing close brace",UndefinedControlSequence:"Undefined control sequence %1",DoubleExponent:"Double exponent: use braces to clarify",DoubleSubscripts:"Double subscripts: use braces to clarify",DoubleExponentPrime:"Prime causes double exponent: Use braces to clarify",CantUseHash1:"You cannot use 'macro parameter character #' in math mode",MisplacedMiddle:"%1 must be within \\left and \\right",MisplacedLimits:"%1 is allowed only on operators",MisplacedMoveRoot:"%1 can appear only within a root",MultipleCommand:"Multiple %1",IntegerArg:"The argument to %1 must be an integer",NotMathMLToken:"%1 is not a token element",InvalidMathMLAttr:"Invalid MathML attribute: %1",UnknownAttrForElement:"%1 is not a recognized attribute for %2",MaxMacroSub1:"MathJax maximum macro substitution count exceeded; is there a recursive macro call?",MaxMacroSub2:"MathJax maximum substitution count exceeded; is there a recursive LaTeX environment?",MissingArgFor:"Missing argument for %1",ExtraAlignTab:"Extra alignment tab in \\cases text",BracketMustBeDimension:"Bracket argument to %1 must be a dimension",InvalidEnv:"Invalid environment name '%1'",UnknownEnv:"Unknown environment '%1'",ExtraCloseLooking:"Extra close brace while looking for %1",MissingCloseBracket:"Could not find closing ']' for argument to %1",MissingOrUnrecognizedDelim:"Missing or unrecognized delimiter for %1",MissingDimOrUnits:"Missing dimension or its units for %1",TokenNotFoundForCommand:"Could not find %1 for %2",MathNotTerminated:"Math not terminated in text box",IllegalMacroParam:"Illegal macro parameter reference",MaxBufferSize:"MathJax internal buffer size exceeded; is there a recursive macro call?",CommandNotAllowedInEnv:"%1 not allowed in %2 environment",MultipleLabel:"Label '%1' multiply defined",CommandAtTheBeginingOfLine:"%1 must come at the beginning of the line",IllegalAlign:"Illegal alignment specified in %1",BadMathStyleFor:"Bad math style for %1",PositiveIntegerArg:"Argument to %1 must be a positive integer",ErroneousNestingEq:"Erroneous nesting of equation structures",MultlineRowsOneCol:"The rows within the %1 environment must have exactly one column",MultipleBBoxProperty:"%1 specified twice in %2",InvalidBBoxProperty:"'%1' does not look like a color, a padding dimension, or a style",ExtraEndMissingBegin:"Extra %1 or missing \\begingroup",GlobalNotFollowedBy:"%1 not followed by \\let, \\def, or \\newcommand",UndefinedColorModel:"Color model '%1' not defined",ModelArg1:"Color values for the %1 model require 3 numbers",InvalidDecimalNumber:"Invalid decimal number",ModelArg2:"Color values for the %1 model must be between %2 and %3",InvalidNumber:"Invalid number",NewextarrowArg1:"First argument to %1 must be a control sequence name",NewextarrowArg2:"Second argument to %1 must be two integers separated by a comma",NewextarrowArg3:"Third argument to %1 must be a Unicode character number",NoClosingChar:"Cannot find closing %1",IllegalControlSequenceName:"Illegal control sequence name for %1",IllegalParamNumber:"Illegal number of parameters specified in %1",MissingCS:"%1 must be followed by a control sequence",CantUseHash2:"Illegal use of # in template for %1",SequentialParam:"Parameters for %1 must be numbered sequentially",MissingReplacementString:"Missing replacement string for definition of %1",MismatchUseDef:"Use of %1 does not match its definition",RunawayArgument:"Runaway argument for %1?",NoClosingDelim:"Cannot find closing delimiter for %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/TeX.js");
+MathJax.Localization.addTranslation("en","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Extra open brace or missing close brace",ExtraCloseMissingOpen:"Extra close brace or missing open brace",MissingLeftExtraRight:"Missing \\left or extra \\right",MissingScript:"Missing superscript or subscript argument",ExtraLeftMissingRight:"Extra \\left or missing \\right",Misplaced:"Misplaced %1",MissingOpenForSub:"Missing open brace for subscript",MissingOpenForSup:"Missing open brace for superscript",AmbiguousUseOf:"Ambiguous use of %1",EnvBadEnd:"\\begin{%1} ended with \\end{%2}",EnvMissingEnd:"Missing \\end{%1}",MissingBoxFor:"Missing box for %1",MissingCloseBrace:"Missing close brace",UndefinedControlSequence:"Undefined control sequence %1",DoubleExponent:"Double exponent: use braces to clarify",DoubleSubscripts:"Double subscripts: use braces to clarify",DoubleExponentPrime:"Prime causes double exponent: Use braces to clarify",CantUseHash1:"You cannot use 'macro parameter character #' in math mode",MisplacedMiddle:"%1 must be within \\left and \\right",MisplacedLimits:"%1 is allowed only on operators",MisplacedMoveRoot:"%1 can appear only within a root",MultipleCommand:"Multiple %1",IntegerArg:"The argument to %1 must be an integer",NotMathMLToken:"%1 is not a token element",InvalidMathMLAttr:"Invalid MathML attribute: %1",UnknownAttrForElement:"%1 is not a recognized attribute for %2",MaxMacroSub1:"MathJax maximum macro substitution count exceeded; is there a recursive macro call?",MaxMacroSub2:"MathJax maximum substitution count exceeded; is there a recursive LaTeX environment?",MissingArgFor:"Missing argument for %1",ExtraAlignTab:"Extra alignment tab in \\cases text",BracketMustBeDimension:"Bracket argument to %1 must be a dimension",InvalidEnv:"Invalid environment name '%1'",UnknownEnv:"Unknown environment '%1'",ExtraCloseLooking:"Extra close brace while looking for %1",MissingCloseBracket:"Could not find closing ']' for argument to %1",MissingOrUnrecognizedDelim:"Missing or unrecognized delimiter for %1",MissingDimOrUnits:"Missing dimension or its units for %1",TokenNotFoundForCommand:"Could not find %1 for %2",MathNotTerminated:"Math not terminated in text box",IllegalMacroParam:"Illegal macro parameter reference",MaxBufferSize:"MathJax internal buffer size exceeded; is there a recursive macro call?",CommandNotAllowedInEnv:"%1 not allowed in %2 environment",MultipleLabel:"Label '%1' multiply defined",CommandAtTheBeginingOfLine:"%1 must come at the beginning of the line",IllegalAlign:"Illegal alignment specified in %1",BadMathStyleFor:"Bad math style for %1",PositiveIntegerArg:"Argument to %1 must be a positive integer",ErroneousNestingEq:"Erroneous nesting of equation structures",MultlineRowsOneCol:"The rows within the %1 environment must have exactly one column",MultipleBBoxProperty:"%1 specified twice in %2",InvalidBBoxProperty:"'%1' does not look like a color, a padding dimension, or a style",ExtraEndMissingBegin:"Extra %1 or missing \\begingroup",GlobalNotFollowedBy:"%1 not followed by \\let, \\def, or \\newcommand",UndefinedColorModel:"Color model '%1' not defined",ModelArg1:"Color values for the %1 model require 3 numbers",InvalidDecimalNumber:"Invalid decimal number",ModelArg2:"Color values for the %1 model must be between %2 and %3",InvalidNumber:"Invalid number",NewextarrowArg1:"First argument to %1 must be a control sequence name",NewextarrowArg2:"Second argument to %1 must be two integers separated by a comma",NewextarrowArg3:"Third argument to %1 must be a Unicode character number",NoClosingChar:"Cannot find closing %1",IllegalControlSequenceName:"Illegal control sequence name for %1",IllegalParamNumber:"Illegal number of parameters specified in %1",MissingCS:"%1 must be followed by a control sequence",CantUseHash2:"Illegal use of # in template for %1",SequentialParam:"Parameters for %1 must be numbered sequentially",MissingReplacementString:"Missing replacement string for definition of %1",MismatchUseDef:"Use of %1 does not match its definition",RunawayArgument:"Runaway argument for %1?",NoClosingDelim:"Cannot find closing delimiter for %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/TeX.js");
diff --git a/localization/en/en.js b/localization/en/en.js
index 7a0fafd76c..43d675eb78 100644
--- a/localization/en/en.js
+++ b/localization/en/en.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/en/en.js
+ *  /MathJax-v2/localization/en/en.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("en",null,{menuTitle:"English",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax has found a user-configuration cookie that includes code to be run. Do you want to run it?\n\n(You should press Cancel unless you set up the cookie yourself.)",MathProcessingError:"Math processing error",MathError:"Math error",LoadFile:"Loading %1",Loading:"Loading",LoadFailed:"File failed to load: %1",ProcessMath:"Processing math: %1%%",Processing:"Processing",TypesetMath:"Typesetting math: %1%%",Typesetting:"Typesetting",MathJaxNotSupported:"Your browser does not support MathJax",ErrorTips:"Debugging tips: use %%1, inspect %%2 in the browser console"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/en.js");
+MathJax.Localization.addTranslation("en",null,{menuTitle:"English",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax has found a user-configuration cookie that includes code to be run. Do you want to run it?\n\n(You should press Cancel unless you set up the cookie yourself.)",MathProcessingError:"Math processing error",MathError:"Math error",LoadFile:"Loading %1",Loading:"Loading",LoadFailed:"File failed to load: %1",ProcessMath:"Processing math: %1%%",Processing:"Processing",TypesetMath:"Typesetting math: %1%%",Typesetting:"Typesetting",MathJaxNotSupported:"Your browser does not support MathJax",ErrorTips:"Debugging tips: use %%1, inspect %%2 in the browser console"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/en/en.js");
diff --git a/localization/eo/FontWarnings.js b/localization/eo/FontWarnings.js
index e55a485d94..2fc5f3c455 100644
--- a/localization/eo/FontWarnings.js
+++ b/localization/eo/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/eo/FontWarnings.js
+ *  /MathJax-v2/localization/eo/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/FontWarnings.js");
+MathJax.Localization.addTranslation("eo","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/FontWarnings.js");
diff --git a/localization/eo/HTML-CSS.js b/localization/eo/HTML-CSS.js
index 1623a95857..8d22dec6f1 100644
--- a/localization/eo/HTML-CSS.js
+++ b/localization/eo/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/eo/HTML-CSS.js
+ *  /MathJax-v2/localization/eo/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/HTML-CSS.js");
+MathJax.Localization.addTranslation("eo","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/HTML-CSS.js");
diff --git a/localization/eo/HelpDialog.js b/localization/eo/HelpDialog.js
index eee26484a2..4c11ba9c0a 100644
--- a/localization/eo/HelpDialog.js
+++ b/localization/eo/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/eo/HelpDialog.js
+ *  /MathJax-v2/localization/eo/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/HelpDialog.js");
+MathJax.Localization.addTranslation("eo","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/HelpDialog.js");
diff --git a/localization/eo/MathML.js b/localization/eo/MathML.js
index f9d2ed14e4..b4393c36a0 100644
--- a/localization/eo/MathML.js
+++ b/localization/eo/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/eo/MathML.js
+ *  /MathJax-v2/localization/eo/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/MathML.js");
+MathJax.Localization.addTranslation("eo","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/MathML.js");
diff --git a/localization/eo/MathMenu.js b/localization/eo/MathMenu.js
index f3bedb042c..00d390d88f 100644
--- a/localization/eo/MathMenu.js
+++ b/localization/eo/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/eo/MathMenu.js
+ *  /MathJax-v2/localization/eo/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo","MathMenu",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/MathMenu.js");
+MathJax.Localization.addTranslation("eo","MathMenu",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/MathMenu.js");
diff --git a/localization/eo/TeX.js b/localization/eo/TeX.js
index febeed871f..47f58c0b3d 100644
--- a/localization/eo/TeX.js
+++ b/localization/eo/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/eo/TeX.js
+ *  /MathJax-v2/localization/eo/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/TeX.js");
+MathJax.Localization.addTranslation("eo","TeX",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/TeX.js");
diff --git a/localization/eo/eo.js b/localization/eo/eo.js
index 7bcf365a98..966a1379ad 100644
--- a/localization/eo/eo.js
+++ b/localization/eo/eo.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/eo/eo.js
+ *  /MathJax-v2/localization/eo/eo.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("eo",null,{menuTitle:"Esperanto",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{Loading:"\u015Cargado",LoadFailed:"\u015Cargado de dosiero malsukcesis: %1",ProcessMath:"Prilaborado de formulo: %1 %%",Processing:"Prilaborado",TypesetMath:"Kompostado de formulo: %1 %%",Typesetting:"Kompostado",MathJaxNotSupported:"Via krozilo ne subtenas Mathjax."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/eo.js");
+MathJax.Localization.addTranslation("eo",null,{menuTitle:"Esperanto",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{Loading:"\u015Cargado",LoadFailed:"\u015Cargado de dosiero malsukcesis: %1",ProcessMath:"Prilaborado de formulo: %1 %%",Processing:"Prilaborado",TypesetMath:"Kompostado de formulo: %1 %%",Typesetting:"Kompostado",MathJaxNotSupported:"Via krozilo ne subtenas Mathjax."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/eo/eo.js");
diff --git a/localization/es/FontWarnings.js b/localization/es/FontWarnings.js
index aca85b32d4..46eb6b4132 100644
--- a/localization/es/FontWarnings.js
+++ b/localization/es/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/es/FontWarnings.js
+ *  /MathJax-v2/localization/es/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax utiliza tipos de letra web para mostrar la notaci\u00F3n matem\u00E1tica de esta p\u00E1gina. Estos tardan un poco en descargarse, por lo que instalarlos en el equipo acelerar\u00E1 la renderizaci\u00F3n de la p\u00E1gina.",imageFonts:"MathJax est\u00E1 utilizando sus fuentes de imagen en lugar de las fuentes locales o basadas en web. Esto renderizar\u00E1 m\u00E1s lento que de costumbre, y las matem\u00E1ticas no podr\u00E1n imprimir a la resoluci\u00F3n completa de la impresora.",noFonts:"MathJax es incapaz de encontrar una fuente para mostrar sus matem\u00E1ticas y las fuentes de imagen no est\u00E1n disponibles, as\u00ED que usar\u00E1 caracteres Unicode gen\u00E9ricos con la esperanza de que el navegador ser\u00E1 capaz de mostrarlas. Es posible que algunos caracteres no se muestren correctamente, o no en absoluto.",webFonts:"La mayor\u00EDa de los navegadores modernos permiten fuentes para ser descargadas a trav\u00E9s de la web. Actualizar a una versi\u00F3n m\u00E1s reciente de tu navegador (o cambiar de navegador) podr\u00EDa mejorar la calidad de las matem\u00E1ticas en esta p\u00E1gina.",fonts:"MathJax puede utilizar las [fuentes STIX](%1) o las [fuentes TeX MathJax](%2). Descarga e instala una de esas fuentes para mejorar tu experiencia en MathJax.",STIXPage:"Esta p\u00E1gina est\u00E1 dise\u00F1ada para usar las [fuentes STIX](%1). Descarga e instala esas fuentes para mejorar tu experiencia en MathJax.",TeXPage:"Esta p\u00E1gina est\u00E1 dise\u00F1ada para usar las [fuentes MathJax TeX](%1). Descarga e instala esas fuentes para mejorar tu experiencia en MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/FontWarnings.js");
+MathJax.Localization.addTranslation("es","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax utiliza tipos de letra web para mostrar la notaci\u00F3n matem\u00E1tica de esta p\u00E1gina. Estos tardan un poco en descargarse, por lo que instalarlos en el equipo acelerar\u00E1 la renderizaci\u00F3n de la p\u00E1gina.",imageFonts:"MathJax est\u00E1 utilizando sus fuentes de imagen en lugar de las fuentes locales o basadas en web. Esto renderizar\u00E1 m\u00E1s lento que de costumbre, y las matem\u00E1ticas no podr\u00E1n imprimir a la resoluci\u00F3n completa de la impresora.",noFonts:"MathJax es incapaz de encontrar una fuente para mostrar sus matem\u00E1ticas y las fuentes de imagen no est\u00E1n disponibles, as\u00ED que usar\u00E1 caracteres Unicode gen\u00E9ricos con la esperanza de que el navegador ser\u00E1 capaz de mostrarlas. Es posible que algunos caracteres no se muestren correctamente, o no en absoluto.",webFonts:"La mayor\u00EDa de los navegadores modernos permiten fuentes para ser descargadas a trav\u00E9s de la web. Actualizar a una versi\u00F3n m\u00E1s reciente de tu navegador (o cambiar de navegador) podr\u00EDa mejorar la calidad de las matem\u00E1ticas en esta p\u00E1gina.",fonts:"MathJax puede utilizar las [fuentes STIX](%1) o las [fuentes TeX MathJax](%2). Descarga e instala una de esas fuentes para mejorar tu experiencia en MathJax.",STIXPage:"Esta p\u00E1gina est\u00E1 dise\u00F1ada para usar las [fuentes STIX](%1). Descarga e instala esas fuentes para mejorar tu experiencia en MathJax.",TeXPage:"Esta p\u00E1gina est\u00E1 dise\u00F1ada para usar las [fuentes MathJax TeX](%1). Descarga e instala esas fuentes para mejorar tu experiencia en MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/FontWarnings.js");
diff --git a/localization/es/HTML-CSS.js b/localization/es/HTML-CSS.js
index f9b4b182dd..ec3d497ca0 100644
--- a/localization/es/HTML-CSS.js
+++ b/localization/es/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/es/HTML-CSS.js
+ *  /MathJax-v2/localization/es/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Cargando el tipo de letra web %1",CantLoadWebFont:"No se pudo cargar la fuente web %1",FirefoxCantLoadWebFont:"Firefox no puede cargar tipos de letra web desde un equipo remoto",CantFindFontUsing:"No se puede encontrar un tipo de letra v\u00E1lido mediante %1",WebFontsNotAvailable:"No hay fuentes web disponibles. Usando fuentes de imagen en su lugar"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/HTML-CSS.js");
+MathJax.Localization.addTranslation("es","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Cargando el tipo de letra web %1",CantLoadWebFont:"No se pudo cargar la fuente web %1",FirefoxCantLoadWebFont:"Firefox no puede cargar tipos de letra web desde un equipo remoto",CantFindFontUsing:"No se puede encontrar un tipo de letra v\u00E1lido mediante %1",WebFontsNotAvailable:"No hay fuentes web disponibles. Usando fuentes de imagen en su lugar"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/HTML-CSS.js");
diff --git a/localization/es/HelpDialog.js b/localization/es/HelpDialog.js
index d2dcd171d6..c841bc380b 100644
--- a/localization/es/HelpDialog.js
+++ b/localization/es/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/es/HelpDialog.js
+ *  /MathJax-v2/localization/es/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Ayuda de MathJax",MathJax:"*MathJax* es una biblioteca en JavaScript que permite a los autores de p\u00E1ginas web incrustar notaci\u00F3n matem\u00E1tica. Como lector, no necesitas hacer nada para que eso suceda.",Browsers:"*Navegadores*: MathJax funciona con todos los navegadores modernos, incluyendo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ y la mayor\u00EDa de los navegadores para m\u00F3vil.",Menu:"*Men\u00FA Math*: MathJax a\u00F1ade un men\u00FA contextual para las ecuaciones. Haz clic derecho o Ctrl-clic en cualquier notaci\u00F3n matem\u00E1tica para acceder al men\u00FA.",ShowMath:"*Mostrar la matem\u00E1tica como* permite ver el formato del c\u00F3digo fuente de la f\u00F3rmula para copiar y pegar (como MathML o en su formato original).",Settings:"*Ajustes* te da el control sobre las funciones de MathJax, tales como el tama\u00F1o de las notaciones matem\u00E1ticas y el mecanismo que se utiliza para mostrar las ecuaciones.",Language:"*Idioma* permite seleccionar el idioma utilizado por MathJax para sus men\u00FAs y mensajes de advertencia.",Zoom:"*Zoom*: Si est\u00E1s teniendo dificultad para leer una ecuaci\u00F3n, MathJax puede ampliarla para ayudarte a verla mejor.",Accessibilty:"*Accesibilidad*: MathJax funcionar\u00E1 autom\u00E1ticamente con los lectores de pantalla para hacer accesible a las personas con discapacidad visual.",Fonts:"*Tipos de letra*: MathJax utiliza determinados tipos de letra matem\u00E1ticas si est\u00E1n instalados en tu ordenador. De lo contrario, utilizar\u00E1 tipos de letra en web. Aunque no es necesario, los tipos de letra instalados localmente aumentar\u00E1 la velocidad de composici\u00F3n tipogr\u00E1fica. Sugerimos instalar los tipos de letra [STIX](%1).",CloseDialog:"Cerrar el di\u00E1logo de ayuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/HelpDialog.js");
+MathJax.Localization.addTranslation("es","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Ayuda de MathJax",MathJax:"*MathJax* es una biblioteca en JavaScript que permite a los autores de p\u00E1ginas web incrustar notaci\u00F3n matem\u00E1tica. Como lector, no necesitas hacer nada para que eso suceda.",Browsers:"*Navegadores*: MathJax funciona con todos los navegadores modernos, incluyendo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ y la mayor\u00EDa de los navegadores para m\u00F3vil.",Menu:"*Men\u00FA Math*: MathJax a\u00F1ade un men\u00FA contextual para las ecuaciones. Haz clic derecho o Ctrl-clic en cualquier notaci\u00F3n matem\u00E1tica para acceder al men\u00FA.",ShowMath:"*Mostrar la matem\u00E1tica como* permite ver el formato del c\u00F3digo fuente de la f\u00F3rmula para copiar y pegar (como MathML o en su formato original).",Settings:"*Ajustes* te da el control sobre las funciones de MathJax, tales como el tama\u00F1o de las notaciones matem\u00E1ticas y el mecanismo que se utiliza para mostrar las ecuaciones.",Language:"*Idioma* permite seleccionar el idioma utilizado por MathJax para sus men\u00FAs y mensajes de advertencia.",Zoom:"*Zoom*: Si est\u00E1s teniendo dificultad para leer una ecuaci\u00F3n, MathJax puede ampliarla para ayudarte a verla mejor.",Accessibilty:"*Accesibilidad*: MathJax funcionar\u00E1 autom\u00E1ticamente con los lectores de pantalla para hacer accesible a las personas con discapacidad visual.",Fonts:"*Tipos de letra*: MathJax utiliza determinados tipos de letra matem\u00E1ticas si est\u00E1n instalados en tu ordenador. De lo contrario, utilizar\u00E1 tipos de letra en web. Aunque no es necesario, los tipos de letra instalados localmente aumentar\u00E1 la velocidad de composici\u00F3n tipogr\u00E1fica. Sugerimos instalar los tipos de letra [STIX](%1).",CloseDialog:"Cerrar el di\u00E1logo de ayuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/HelpDialog.js");
diff --git a/localization/es/MathML.js b/localization/es/MathML.js
index a794145a15..a0ac79f873 100644
--- a/localization/es/MathML.js
+++ b/localization/es/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/es/MathML.js
+ *  /MathJax-v2/localization/es/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u00ABmglyph\u00BB da\u00F1ado: %1",BadMglyphFont:"Tipo de letra da\u00F1ado: %1",MathPlayer:'MathJax no fue capaz de configurar MathPlayer.\n\nSi no est\u00E1 instalado MathPlayer, tienes que instalarlo primero.\nDe lo contrario, la configuraci\u00F3n de seguridad puede impedir que los controles de ActiveX\nfuncionen. Utiliza el elemento en opciones de Internet en el men\u00FA Herramientas y selecciona la ficha Seguridad, luego presiona el\nbot\u00F3n de nivel personalizado. Comprueba que la configuraci\u00F3n de\n"Ejecutar controles ActiveX" y "comportamientos binarios y script"\nest\u00E1n activados.\n\nActualmente ver\u00E1s los mensajes de error en lugar de la\ntipograf\u00EDa matem\u00E1tica',CantCreateXMLParser:'MathJax no puede crear un analizador de XML para MathML. Comprueba que la configuraci\u00F3n de seguridad "controles de secuencia de comandos ActiveX marcados como seguros para scripts" est\u00E1 habilitada (utiliza el elemento en opciones de Internet en el men\u00FA Herramientas y selecciona el panel de seguridad, luego presiona el bot\u00F3n de nivel personalizado para comprobarlo).\n\nLas ecuaciones MathML no podr\u00E1n ser procesadas por MathJax',UnknownNodeType:"Tipo de nodo desconocido: %1",UnexpectedTextNode:"Nodo de texto inesperado: %1",ErrorParsingMathML:"Error al analizar MathML",ParsingError:"Error al analizar MathML: %1",MathMLSingleElement:"MathML debe estar formado por un solo elemento",MathMLRootElement:"MathML debe estar formado por un elemento \u003Cmath\u003E, no %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/MathML.js");
+MathJax.Localization.addTranslation("es","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"\u00ABmglyph\u00BB da\u00F1ado: %1",BadMglyphFont:"Tipo de letra da\u00F1ado: %1",MathPlayer:'MathJax no fue capaz de configurar MathPlayer.\n\nSi no est\u00E1 instalado MathPlayer, tienes que instalarlo primero.\nDe lo contrario, la configuraci\u00F3n de seguridad puede impedir que los controles de ActiveX\nfuncionen. Utiliza el elemento en opciones de Internet en el men\u00FA Herramientas y selecciona la ficha Seguridad, luego presiona el\nbot\u00F3n de nivel personalizado. Comprueba que la configuraci\u00F3n de\n"Ejecutar controles ActiveX" y "comportamientos binarios y script"\nest\u00E1n activados.\n\nActualmente ver\u00E1s los mensajes de error en lugar de la\ntipograf\u00EDa matem\u00E1tica',CantCreateXMLParser:'MathJax no puede crear un analizador de XML para MathML. Comprueba que la configuraci\u00F3n de seguridad "controles de secuencia de comandos ActiveX marcados como seguros para scripts" est\u00E1 habilitada (utiliza el elemento en opciones de Internet en el men\u00FA Herramientas y selecciona el panel de seguridad, luego presiona el bot\u00F3n de nivel personalizado para comprobarlo).\n\nLas ecuaciones MathML no podr\u00E1n ser procesadas por MathJax',UnknownNodeType:"Tipo de nodo desconocido: %1",UnexpectedTextNode:"Nodo de texto inesperado: %1",ErrorParsingMathML:"Error al analizar MathML",ParsingError:"Error al analizar MathML: %1",MathMLSingleElement:"MathML debe estar formado por un solo elemento",MathMLRootElement:"MathML debe estar formado por un elemento \u003Cmath\u003E, no %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/MathML.js");
diff --git a/localization/es/MathMenu.js b/localization/es/MathMenu.js
index bf4b975953..84eea391a6 100644
--- a/localization/es/MathMenu.js
+++ b/localization/es/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/es/MathMenu.js
+ *  /MathJax-v2/localization/es/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Mostrar las f\u00F3rmulas como",MathMLcode:"C\u00F3digo de MathML",OriginalMathML:"MathML original",TeXCommands:"\u00D3rdenes de TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Forma original",ErrorMessage:"Mensaje de error",Annotation:"Anotaci\u00F3n",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Contenido MathML",OpenMath:"OpenMath",texHints:"Mostrar sugerencias TeX en MathML",Settings:"Configuraci\u00F3n matem\u00E1tica",ZoomTrigger:"Activar zoom",Hover:"Apuntar con el rat\u00F3n",Click:"Pulsaci\u00F3n del rat\u00F3n",DoubleClick:"Pulsaci\u00F3n doble del rat\u00F3n",NoZoom:"Sin ampliaci\u00F3n",TriggerRequires:"La activaci\u00F3n requiere:",Option:"Opci\u00F3n",Alt:"Alt",Command:"Orden",Control:"Control",Shift:"May\u00FAs",ZoomFactor:"Factor de ampliaci\u00F3n",Renderer:"Renderizador matem\u00E1tico",MPHandles:"Permitir que MathPlayer gestione:",MenuEvents:"Eventos del men\u00FA",MouseEvents:"Eventos del rat\u00F3n",MenuAndMouse:"Eventos del men\u00FA y del rat\u00F3n",FontPrefs:"Preferencias tipogr\u00E1ficas",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagen)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contextual",Browser:"Navegador",Scale:"Escalar todas las f\u00F3rmulas\u2026",Discoverable:"Resaltar al apuntar con el rat\u00F3n",Locale:"Idioma",LoadLocale:"Cargar a partir de URL\u2026",About:"Acerca de MathJax",Help:"Ayuda de MathJax",localTeXfonts:"usando tipos de letra locales TeX",webTeXfonts:"usando tipo de letra web TeX",imagefonts:"usando tipos de letra de imagen",localSTIXfonts:"usando tipos de letra locales STIX",webSVGfonts:"usando tipos de letra web SVG",genericfonts:"usando tipos de letra Unicode gen\u00E9ricas",wofforotffonts:"Tipos de letra WOFF u OTF",eotffonts:"Tipos de letra EOT",svgfonts:"Tipos de letra SVG",WebkitNativeMMLWarning:"Parece que tu navegador no admite MathML de manera nativa; si cambias a la salida MathML es posible que la notaci\u00F3n matem\u00E1tica de la p\u00E1gina se vuelva ilegible",MSIENativeMMLWarning:"Internet Explorer necesita el complemento MathPlayer para procesar la salida de MathML.",OperaNativeMMLWarning:"La compatibilidad de Opera con MathML es limitada, por lo que cambiar a la salida de MathML puede causar que algunas expresiones no se visualicen bien.",SafariNativeMMLWarning:"El MathML nativo de tu navegador no implementa todas las funciones utilizadas por MathJax, por lo que algunas expresiones pueden no visualizarse correctamente.",FirefoxNativeMMLWarning:"El MathML nativo de tu navegador no implementa todas las funciones utilizadas por MathJax, por lo que algunas expresiones pueden no visualizarse correctamente.",MSIESVGWarning:"SVG no est\u00E1 implementado en Internet Explorer anterior a IE9 o cuando se est\u00E1 emulando IE8 o anteriores. Cambiar a la salida SVG har\u00E1 que la notaci\u00F3n matem\u00E1tica no se visualice correctamente.",LoadURL:"Cargar datos de traducci\u00F3n desde esta direcci\u00F3n URL:",BadURL:'La direcci\u00F3n URL debe ser para un archivo JavaScript que define los datos de traducci\u00F3n de MathJax. Los nombres de los archivos de JavaScript deben terminar con ".js"',BadData:"No se pudieron cargar los datos de traducci\u00F3n de %1",SwitchAnyway:"\u00BFCambiar al renderizador de todos modos?\n\n(Presiona OK para cambiar, CANCELAR para continuar con el renderizador actual)",ScaleMath:"Escalar toda la matem\u00E1tica (comparado con el texto circundante) por",NonZeroScale:"La escala no debe ser cero",PercentScale:"La escala debe ser un porcentaje (p. ej.: 120 %%)",IE8warning:"Esto deshabilitar\u00E1 las funciones de men\u00FA y zoom de MathJax, pero puedes pulsar Alt-Clic en una expresi\u00F3n para obtener el men\u00FA MathJax en su lugar.\n\n\u00BFRealmente quieres cambiar la configuraci\u00F3n de MathPlayer?",IE9warning:"El men\u00FA contextual de MathJax ser\u00E1 desactivado, pero puedes pulsar Alt-Clic en una expresi\u00F3n para obtener el men\u00FA MathJax en su lugar.",NoOriginalForm:"La forma original no est\u00E1 disponible",Close:"Cerrar",EqSource:"C\u00F3digo de la ecuaci\u00F3n de MathJax",CloseAboutDialog:"Cerrar el di\u00E1logo de acerca de MathJax",FastPreview:"Vista previa r\u00E1pida",AssistiveMML:"Asistente MathML",InTabOrder:"Incluir en el Orden de Pesta\u00F1as"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/MathMenu.js");
+MathJax.Localization.addTranslation("es","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Mostrar las f\u00F3rmulas como",MathMLcode:"C\u00F3digo de MathML",OriginalMathML:"MathML original",TeXCommands:"\u00D3rdenes de TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Forma original",ErrorMessage:"Mensaje de error",Annotation:"Anotaci\u00F3n",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Contenido MathML",OpenMath:"OpenMath",texHints:"Mostrar sugerencias TeX en MathML",Settings:"Configuraci\u00F3n matem\u00E1tica",ZoomTrigger:"Activar zoom",Hover:"Apuntar con el rat\u00F3n",Click:"Pulsaci\u00F3n del rat\u00F3n",DoubleClick:"Pulsaci\u00F3n doble del rat\u00F3n",NoZoom:"Sin ampliaci\u00F3n",TriggerRequires:"La activaci\u00F3n requiere:",Option:"Opci\u00F3n",Alt:"Alt",Command:"Orden",Control:"Control",Shift:"May\u00FAs",ZoomFactor:"Factor de ampliaci\u00F3n",Renderer:"Renderizador matem\u00E1tico",MPHandles:"Permitir que MathPlayer gestione:",MenuEvents:"Eventos del men\u00FA",MouseEvents:"Eventos del rat\u00F3n",MenuAndMouse:"Eventos del men\u00FA y del rat\u00F3n",FontPrefs:"Preferencias tipogr\u00E1ficas",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagen)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contextual",Browser:"Navegador",Scale:"Escalar todas las f\u00F3rmulas\u2026",Discoverable:"Resaltar al apuntar con el rat\u00F3n",Locale:"Idioma",LoadLocale:"Cargar a partir de URL\u2026",About:"Acerca de MathJax",Help:"Ayuda de MathJax",localTeXfonts:"usando tipos de letra locales TeX",webTeXfonts:"usando tipo de letra web TeX",imagefonts:"usando tipos de letra de imagen",localSTIXfonts:"usando tipos de letra locales STIX",webSVGfonts:"usando tipos de letra web SVG",genericfonts:"usando tipos de letra Unicode gen\u00E9ricas",wofforotffonts:"Tipos de letra WOFF u OTF",eotffonts:"Tipos de letra EOT",svgfonts:"Tipos de letra SVG",WebkitNativeMMLWarning:"Parece que tu navegador no admite MathML de manera nativa; si cambias a la salida MathML es posible que la notaci\u00F3n matem\u00E1tica de la p\u00E1gina se vuelva ilegible",MSIENativeMMLWarning:"Internet Explorer necesita el complemento MathPlayer para procesar la salida de MathML.",OperaNativeMMLWarning:"La compatibilidad de Opera con MathML es limitada, por lo que cambiar a la salida de MathML puede causar que algunas expresiones no se visualicen bien.",SafariNativeMMLWarning:"El MathML nativo de tu navegador no implementa todas las funciones utilizadas por MathJax, por lo que algunas expresiones pueden no visualizarse correctamente.",FirefoxNativeMMLWarning:"El MathML nativo de tu navegador no implementa todas las funciones utilizadas por MathJax, por lo que algunas expresiones pueden no visualizarse correctamente.",MSIESVGWarning:"SVG no est\u00E1 implementado en Internet Explorer anterior a IE9 o cuando se est\u00E1 emulando IE8 o anteriores. Cambiar a la salida SVG har\u00E1 que la notaci\u00F3n matem\u00E1tica no se visualice correctamente.",LoadURL:"Cargar datos de traducci\u00F3n desde esta direcci\u00F3n URL:",BadURL:'La direcci\u00F3n URL debe ser para un archivo JavaScript que define los datos de traducci\u00F3n de MathJax. Los nombres de los archivos de JavaScript deben terminar con ".js"',BadData:"No se pudieron cargar los datos de traducci\u00F3n de %1",SwitchAnyway:"\u00BFCambiar al renderizador de todos modos?\n\n(Presiona OK para cambiar, CANCELAR para continuar con el renderizador actual)",ScaleMath:"Escalar toda la matem\u00E1tica (comparado con el texto circundante) por",NonZeroScale:"La escala no debe ser cero",PercentScale:"La escala debe ser un porcentaje (p. ej.: 120 %%)",IE8warning:"Esto deshabilitar\u00E1 las funciones de men\u00FA y zoom de MathJax, pero puedes pulsar Alt-Clic en una expresi\u00F3n para obtener el men\u00FA MathJax en su lugar.\n\n\u00BFRealmente quieres cambiar la configuraci\u00F3n de MathPlayer?",IE9warning:"El men\u00FA contextual de MathJax ser\u00E1 desactivado, pero puedes pulsar Alt-Clic en una expresi\u00F3n para obtener el men\u00FA MathJax en su lugar.",NoOriginalForm:"La forma original no est\u00E1 disponible",Close:"Cerrar",EqSource:"C\u00F3digo de la ecuaci\u00F3n de MathJax",CloseAboutDialog:"Cerrar el di\u00E1logo de acerca de MathJax",FastPreview:"Vista previa r\u00E1pida",AssistiveMML:"Asistente MathML",InTabOrder:"Incluir en el Orden de Pesta\u00F1as"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/MathMenu.js");
diff --git a/localization/es/TeX.js b/localization/es/TeX.js
index d03cd55082..ed612b10e9 100644
--- a/localization/es/TeX.js
+++ b/localization/es/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/es/TeX.js
+ *  /MathJax-v2/localization/es/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Llave de apertura adicional o falta la llave de cierre",ExtraCloseMissingOpen:"Llave de cierre adicional o falta la llave de apertura",MissingLeftExtraRight:"Falta \\left o \\right adicional",MissingScript:"Falta argumento super\u00EDndice o sub\u00EDndice",ExtraLeftMissingRight:"\\left adicional o falta \\right",Misplaced:"%1 ubicado incorrectamente",MissingOpenForSub:"Falta la llave de apertura para el sub\u00EDndice",MissingOpenForSup:"Falta la llave de apertura para super\u00EDndice",AmbiguousUseOf:"Uso ambiguo de %1",EnvBadEnd:"\\begin{%1} termina con \\end{%2}",EnvMissingEnd:"Falta \\end{%1}",MissingBoxFor:"Falta la caja para %1",MissingCloseBrace:"Falta la llave de cierre",UndefinedControlSequence:"Secuencia de control indefinida %1",DoubleExponent:"Doble exponente: utiliza llaves para aclarar",DoubleSubscripts:"Doble sub\u00EDndices: utiliza llaves para aclarar",DoubleExponentPrime:"El s\u00EDmbolo \u00ABprima\u00BB causa un exponente doble, utiliza llaves para aclarar",CantUseHash1:'No puedes utilizar "n\u00FAmero de car\u00E1cter de par\u00E1metro de macro" en modo matem\u00E1tico',MisplacedMiddle:"%1 debe estar dentro de \\left y \\right",MisplacedLimits:"%1 est\u00E1 permitido solo en operadores",MisplacedMoveRoot:"%1 solo puede aparecer dentro de una ra\u00EDz",MultipleCommand:"M\u00FAltiples %1",IntegerArg:"El argumento para %1 debe ser un entero",NotMathMLToken:"%1 no es un elemento",InvalidMathMLAttr:"El atributo MathML no es v\u00E1lido: %1",UnknownAttrForElement:"%1 no es un atributo reconocido para %2",MaxMacroSub1:"Conteo m\u00E1ximo de sustituci\u00F3n de macro MathJax superado, \u00BFhay una llamada recursiva de macro?",MaxMacroSub2:"Se excedi\u00F3 el conteo m\u00E1ximo de sustituci\u00F3n MathJax, \u00BFhay un ambiente recursivo de LaTeX?",MissingArgFor:"Falta el argumento para %1",ExtraAlignTab:"Ficha de alineaci\u00F3n adicional en texto \\cases",BracketMustBeDimension:"El argumento de par\u00E9ntesis %1 debe ser una dimensi\u00F3n",InvalidEnv:"Nombre de entorno \u00AB%1\u00BB no v\u00E1lido",UnknownEnv:"Entorno desconocido \u00AB%1\u00BB",ExtraCloseLooking:"Llave de cierre adicional al buscar %1",MissingCloseBracket:'No se pudo encontrar "]" de cierre para el argumento %1',MissingOrUnrecognizedDelim:"Delimitador no reconocido o faltante para %1",MissingDimOrUnits:"Falta la dimensi\u00F3n o sus unidades para %1",TokenNotFoundForCommand:"No se pudo encontrar %1 para %2",MathNotTerminated:"La notaci\u00F3n matem\u00E1tica no termina en el cuadro de texto",IllegalMacroParam:"Referencia de par\u00E1metro de macro ilegal",MaxBufferSize:"Tama\u00F1o del b\u00FAfer interno de MathJax excedido. \u00BFHay una llamada macro recursiva?",CommandNotAllowedInEnv:"%1 no permitido en el entorno %2",MultipleLabel:"Se defini\u00F3 la etiqueta \u00AB%1\u00BB varias veces",CommandAtTheBeginingOfLine:"%1 debe aparecer al principio de la l\u00EDnea",IllegalAlign:"Se especific\u00F3 un alineamiento incorrecto en %1",BadMathStyleFor:"Estilo matem\u00E1tico err\u00F3neo para %1",PositiveIntegerArg:"El argumento de %1 debe ser un entero positivo",ErroneousNestingEq:"Anidaci\u00F3n err\u00F3nea de estructuras de ecuaciones",MultlineRowsOneCol:"Las filas dentro del entorno %1 deben tener exactamente una columna",MultipleBBoxProperty:"Se ha especificado %1 dos veces en %2",InvalidBBoxProperty:'"%1" no parece ser un color, una dimensi\u00F3n de relleno o un estilo',ExtraEndMissingBegin:"%1 adicional o falta \\begingroup",GlobalNotFollowedBy:"%1 no va seguido de \\let, \\def o \\newcommand",UndefinedColorModel:"El modelo de color \u00AB%1\u00BB no est\u00E1 definido",ModelArg1:"Los valores de color para el modelo %1 requieren 3 n\u00FAmeros",InvalidDecimalNumber:"El n\u00FAmero decimal no es v\u00E1lido",ModelArg2:"Los valores de color para el modelo %1 deben estar entre %2 y %3",InvalidNumber:"El n\u00FAmero no es v\u00E1lido",NewextarrowArg1:"El primer argumento de %1 debe ser un nombre de secuencia de control",NewextarrowArg2:"El segundo argumento de %1 debe ser dos n\u00FAmeros enteros separados por una coma",NewextarrowArg3:"El tercer argumento de %1 debe ser un n\u00FAmero de caracteres Unicode",NoClosingChar:"No se puede encontrar el %1 de cierre",IllegalControlSequenceName:"El nombre de la secuencia de control para %1 es incorrecto",IllegalParamNumber:"Se especific\u00F3 una cantidad incorrecta de par\u00E1metros en %1",MissingCS:"A %1 ha de a\u00F1ad\u00EDrsele una secuencia de control",CantUseHash2:"Uso incorrecto de \u00AB#\u00BB en la plantilla para %1",SequentialParam:"Los par\u00E1metros para %1 deben ser numerados de forma secuencial",MissingReplacementString:"Falta la cadena de sustituci\u00F3n para la definici\u00F3n de %1",MismatchUseDef:"El uso de %1 no coincide con su definici\u00F3n",RunawayArgument:"\u00BFArgumento de escape para %1?",NoClosingDelim:"No se puede encontrar el delimitador de cierre para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/TeX.js");
+MathJax.Localization.addTranslation("es","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Llave de apertura adicional o falta la llave de cierre",ExtraCloseMissingOpen:"Llave de cierre adicional o falta la llave de apertura",MissingLeftExtraRight:"Falta \\left o \\right adicional",MissingScript:"Falta argumento super\u00EDndice o sub\u00EDndice",ExtraLeftMissingRight:"\\left adicional o falta \\right",Misplaced:"%1 ubicado incorrectamente",MissingOpenForSub:"Falta la llave de apertura para el sub\u00EDndice",MissingOpenForSup:"Falta la llave de apertura para super\u00EDndice",AmbiguousUseOf:"Uso ambiguo de %1",EnvBadEnd:"\\begin{%1} termina con \\end{%2}",EnvMissingEnd:"Falta \\end{%1}",MissingBoxFor:"Falta la caja para %1",MissingCloseBrace:"Falta la llave de cierre",UndefinedControlSequence:"Secuencia de control indefinida %1",DoubleExponent:"Doble exponente: utiliza llaves para aclarar",DoubleSubscripts:"Doble sub\u00EDndices: utiliza llaves para aclarar",DoubleExponentPrime:"El s\u00EDmbolo \u00ABprima\u00BB causa un exponente doble, utiliza llaves para aclarar",CantUseHash1:'No puedes utilizar "n\u00FAmero de car\u00E1cter de par\u00E1metro de macro" en modo matem\u00E1tico',MisplacedMiddle:"%1 debe estar dentro de \\left y \\right",MisplacedLimits:"%1 est\u00E1 permitido solo en operadores",MisplacedMoveRoot:"%1 solo puede aparecer dentro de una ra\u00EDz",MultipleCommand:"M\u00FAltiples %1",IntegerArg:"El argumento para %1 debe ser un entero",NotMathMLToken:"%1 no es un elemento",InvalidMathMLAttr:"El atributo MathML no es v\u00E1lido: %1",UnknownAttrForElement:"%1 no es un atributo reconocido para %2",MaxMacroSub1:"Conteo m\u00E1ximo de sustituci\u00F3n de macro MathJax superado, \u00BFhay una llamada recursiva de macro?",MaxMacroSub2:"Se excedi\u00F3 el conteo m\u00E1ximo de sustituci\u00F3n MathJax, \u00BFhay un ambiente recursivo de LaTeX?",MissingArgFor:"Falta el argumento para %1",ExtraAlignTab:"Ficha de alineaci\u00F3n adicional en texto \\cases",BracketMustBeDimension:"El argumento de par\u00E9ntesis %1 debe ser una dimensi\u00F3n",InvalidEnv:"Nombre de entorno \u00AB%1\u00BB no v\u00E1lido",UnknownEnv:"Entorno desconocido \u00AB%1\u00BB",ExtraCloseLooking:"Llave de cierre adicional al buscar %1",MissingCloseBracket:'No se pudo encontrar "]" de cierre para el argumento %1',MissingOrUnrecognizedDelim:"Delimitador no reconocido o faltante para %1",MissingDimOrUnits:"Falta la dimensi\u00F3n o sus unidades para %1",TokenNotFoundForCommand:"No se pudo encontrar %1 para %2",MathNotTerminated:"La notaci\u00F3n matem\u00E1tica no termina en el cuadro de texto",IllegalMacroParam:"Referencia de par\u00E1metro de macro ilegal",MaxBufferSize:"Tama\u00F1o del b\u00FAfer interno de MathJax excedido. \u00BFHay una llamada macro recursiva?",CommandNotAllowedInEnv:"%1 no permitido en el entorno %2",MultipleLabel:"Se defini\u00F3 la etiqueta \u00AB%1\u00BB varias veces",CommandAtTheBeginingOfLine:"%1 debe aparecer al principio de la l\u00EDnea",IllegalAlign:"Se especific\u00F3 un alineamiento incorrecto en %1",BadMathStyleFor:"Estilo matem\u00E1tico err\u00F3neo para %1",PositiveIntegerArg:"El argumento de %1 debe ser un entero positivo",ErroneousNestingEq:"Anidaci\u00F3n err\u00F3nea de estructuras de ecuaciones",MultlineRowsOneCol:"Las filas dentro del entorno %1 deben tener exactamente una columna",MultipleBBoxProperty:"Se ha especificado %1 dos veces en %2",InvalidBBoxProperty:'"%1" no parece ser un color, una dimensi\u00F3n de relleno o un estilo',ExtraEndMissingBegin:"%1 adicional o falta \\begingroup",GlobalNotFollowedBy:"%1 no va seguido de \\let, \\def o \\newcommand",UndefinedColorModel:"El modelo de color \u00AB%1\u00BB no est\u00E1 definido",ModelArg1:"Los valores de color para el modelo %1 requieren 3 n\u00FAmeros",InvalidDecimalNumber:"El n\u00FAmero decimal no es v\u00E1lido",ModelArg2:"Los valores de color para el modelo %1 deben estar entre %2 y %3",InvalidNumber:"El n\u00FAmero no es v\u00E1lido",NewextarrowArg1:"El primer argumento de %1 debe ser un nombre de secuencia de control",NewextarrowArg2:"El segundo argumento de %1 debe ser dos n\u00FAmeros enteros separados por una coma",NewextarrowArg3:"El tercer argumento de %1 debe ser un n\u00FAmero de caracteres Unicode",NoClosingChar:"No se puede encontrar el %1 de cierre",IllegalControlSequenceName:"El nombre de la secuencia de control para %1 es incorrecto",IllegalParamNumber:"Se especific\u00F3 una cantidad incorrecta de par\u00E1metros en %1",MissingCS:"A %1 ha de a\u00F1ad\u00EDrsele una secuencia de control",CantUseHash2:"Uso incorrecto de \u00AB#\u00BB en la plantilla para %1",SequentialParam:"Los par\u00E1metros para %1 deben ser numerados de forma secuencial",MissingReplacementString:"Falta la cadena de sustituci\u00F3n para la definici\u00F3n de %1",MismatchUseDef:"El uso de %1 no coincide con su definici\u00F3n",RunawayArgument:"\u00BFArgumento de escape para %1?",NoClosingDelim:"No se puede encontrar el delimitador de cierre para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/TeX.js");
diff --git a/localization/es/es.js b/localization/es/es.js
index a82642e949..16f772ee93 100644
--- a/localization/es/es.js
+++ b/localization/es/es.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/es/es.js
+ *  /MathJax-v2/localization/es/es.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("es",null,{menuTitle:"espa\u00F1ol",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax ha encontrado una cookie de configuraci\u00F3n de usuario que incluye c\u00F3digo para ser ejecutado.\u00BFQuieres ejecutarlo?\n\\n\n(Pulse Cancelar al menos que configure la cookie).",MathProcessingError:"Error de procesamiento de matem\u00E1ticas",MathError:"Error de matem\u00E1ticas",LoadFile:"Cargando %1",Loading:"Cargando",LoadFailed:"Fall\u00F3 la carga del archivo: %1",ProcessMath:"Procesando notaci\u00F3n matem\u00E1tica: %1\u00A0%%",Processing:"Procesando",TypesetMath:"Composici\u00F3n tipogr\u00E1fica en curso: %1 %%",Typesetting:"Composici\u00F3n tipogr\u00E1fica",MathJaxNotSupported:"El navegador no admite MathJax",ErrorTips:"Consejos de depuraci\u00F3n: utilice %%1, inspeccione %%2 en la consola del navegador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/es.js");
+MathJax.Localization.addTranslation("es",null,{menuTitle:"espa\u00F1ol",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax ha encontrado una cookie de configuraci\u00F3n de usuario que incluye c\u00F3digo para ser ejecutado.\u00BFQuieres ejecutarlo?\n\\n\n(Pulse Cancelar al menos que configure la cookie).",MathProcessingError:"Error de procesamiento de matem\u00E1ticas",MathError:"Error de matem\u00E1ticas",LoadFile:"Cargando %1",Loading:"Cargando",LoadFailed:"Fall\u00F3 la carga del archivo: %1",ProcessMath:"Procesando notaci\u00F3n matem\u00E1tica: %1\u00A0%%",Processing:"Procesando",TypesetMath:"Composici\u00F3n tipogr\u00E1fica en curso: %1 %%",Typesetting:"Composici\u00F3n tipogr\u00E1fica",MathJaxNotSupported:"El navegador no admite MathJax",ErrorTips:"Consejos de depuraci\u00F3n: utilice %%1, inspeccione %%2 en la consola del navegador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/es/es.js");
diff --git a/localization/fa/FontWarnings.js b/localization/fa/FontWarnings.js
index 8225758201..b442356a3e 100644
--- a/localization/fa/FontWarnings.js
+++ b/localization/fa/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fa/FontWarnings.js
+ *  /MathJax-v2/localization/fa/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0632\u0645\u0627\u0646\u06CC \u062C\u0647\u062A \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0628\u06AF\u06CC\u0631\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0631\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u0633\u062A\u0642\u06CC\u0645 \u062F\u0631 \u067E\u0648\u0634\u0647\u0654 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0633\u06CC\u0633\u062A\u0645\u200C\u0639\u0627\u0645\u0644 \u062E\u0648\u062F \u0642\u0631\u0627\u0631 \u062F\u0647\u06CC\u062F \u0646\u0645\u0627\u06CC\u0634 \u0635\u0641\u062D\u0627\u062A \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u0646\u062F \u0634\u062F.",imageFonts:"MathJax \u0628\u0647 \u062C\u0627\u06CC \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0645\u062D\u0644\u06CC \u06CC\u0627 \u0648\u0628\u06CC \u0627\u0632 \u062A\u0635\u0627\u0648\u06CC\u0631 \u0642\u0644\u0645\u200C\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0646\u0645\u0627\u06CC\u0634 \u0631\u0627 \u0627\u0632 \u062D\u0627\u0644\u062A \u0639\u0627\u062F\u06CC \u06A9\u0646\u062F\u062A\u0631 \u0645\u06CC\u200C\u06A9\u0646\u062F \u0648 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u062F\u0631 \u062C\u0632\u0626\u06CC\u0627\u062A \u06A9\u0627\u0645\u0644 \u0686\u0627\u067E\u06AF\u0631 \u0634\u0645\u0627 \u0686\u0627\u067E \u0646\u0634\u0648\u0646\u062F.",noFonts:"MathJax \u0646\u062A\u0648\u0627\u0646\u0633\u062A \u0642\u0644\u0645\u06CC \u06A9\u0647 \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u0634\u0648\u062F \u0631\u0627 \u0628\u06CC\u0627\u0628\u062F \u0648 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC \u0645\u0648\u062C\u0648\u062F \u0646\u06CC\u0633\u062A\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0647 \u0627\u06CC\u0646 \u0627\u0645\u06CC\u062F \u06A9\u0647 \u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u062A\u0648\u0627\u0646\u062F \u0646\u0648\u06CC\u0633\u0647\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0639\u0645\u0648\u0645\u06CC \u0631\u0627 \u0686\u0627\u067E \u06A9\u0646\u062F \u0628\u0647 \u0622\u0646\u200C\u0647\u0627 \u0628\u0627\u0632\u0645\u06CC\u200C\u06AF\u0631\u062F\u062F. \u0628\u0639\u0636\u06CC \u0627\u0632 \u0646\u0648\u06CC\u0633\u0647\u200C\u0647\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062E\u0648\u0628\u06CC \u06CC\u0627 \u0627\u0635\u0644\u0627\u064B \u0628\u0647 \u06A9\u0644 \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",webFonts:"\u0627\u06A9\u062B\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u0631\u0648\u0632 \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC \u062F\u0647\u0646\u062F \u06A9\u0647 \u0642\u0644\u0645\u200C\u0647\u0627 \u0627\u0632 \u0637\u0631\u06CC\u0642 \u0648\u0628 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0634\u0648\u0646\u062F. \u0628\u0647\u200C\u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06CC\u200C\u06A9\u0631\u062F\u0646 \u0628\u0647 \u06CC\u06A9\u06CC \u0627\u0632 \u0622\u062E\u0631\u06CC\u0646 \u0646\u0633\u062E\u0647\u200C\u0647\u0627\u06CC \u0645\u0631\u0648\u0631\u06AF\u0631\u062A\u0627\u0646 (\u06CC\u0627 \u062A\u063A\u06CC\u06CC\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631) \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u06A9\u06CC\u0641\u06CC\u062A \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC \u0645\u0648\u062C\u0648\u062F \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u062F\u0647\u062F.",fonts:"MathJax \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0627\u0632 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u06CC\u0627 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 MathJax](%2) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u06CC\u06A9\u06CC \u0627\u0632 \u0622\u0646\u200C\u0647\u0627 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u062F\u0647\u062F.",STIXPage:"\u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0637\u0631\u0627\u062D\u06CC\u200C\u0634\u062F\u0647\u200C\u0627\u0633\u062A \u06A9\u0647 \u0627\u0632 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0642\u0644\u0645\u200C\u0647\u0627 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0648 \u0646\u0635\u0628 \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0628\u0647\u0628\u0648\u062F \u06CC\u0627\u0628\u062F.",TeXPage:"\u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0637\u0631\u0627\u062D\u06CC \u0634\u062F\u0647\u200C\u0627\u0633\u062A \u06A9\u0647 \u06A9\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 MathJax](%1) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0648 \u0646\u0635\u0628 \u0627\u06CC\u0646 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u0645\u06CC\u200C\u0628\u062E\u0634\u062F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/FontWarnings.js");
+MathJax.Localization.addTranslation("fa","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0632\u0645\u0627\u0646\u06CC \u062C\u0647\u062A \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0628\u06AF\u06CC\u0631\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0631\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u0633\u062A\u0642\u06CC\u0645 \u062F\u0631 \u067E\u0648\u0634\u0647\u0654 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0633\u06CC\u0633\u062A\u0645\u200C\u0639\u0627\u0645\u0644 \u062E\u0648\u062F \u0642\u0631\u0627\u0631 \u062F\u0647\u06CC\u062F \u0646\u0645\u0627\u06CC\u0634 \u0635\u0641\u062D\u0627\u062A \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u0646\u062F \u0634\u062F.",imageFonts:"MathJax \u0628\u0647 \u062C\u0627\u06CC \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0645\u062D\u0644\u06CC \u06CC\u0627 \u0648\u0628\u06CC \u0627\u0632 \u062A\u0635\u0627\u0648\u06CC\u0631 \u0642\u0644\u0645\u200C\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0646\u0645\u0627\u06CC\u0634 \u0631\u0627 \u0627\u0632 \u062D\u0627\u0644\u062A \u0639\u0627\u062F\u06CC \u06A9\u0646\u062F\u062A\u0631 \u0645\u06CC\u200C\u06A9\u0646\u062F \u0648 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u062F\u0631 \u062C\u0632\u0626\u06CC\u0627\u062A \u06A9\u0627\u0645\u0644 \u0686\u0627\u067E\u06AF\u0631 \u0634\u0645\u0627 \u0686\u0627\u067E \u0646\u0634\u0648\u0646\u062F.",noFonts:"MathJax \u0646\u062A\u0648\u0627\u0646\u0633\u062A \u0642\u0644\u0645\u06CC \u06A9\u0647 \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u0634\u0648\u062F \u0631\u0627 \u0628\u06CC\u0627\u0628\u062F \u0648 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC \u0645\u0648\u062C\u0648\u062F \u0646\u06CC\u0633\u062A\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0647 \u0627\u06CC\u0646 \u0627\u0645\u06CC\u062F \u06A9\u0647 \u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u062A\u0648\u0627\u0646\u062F \u0646\u0648\u06CC\u0633\u0647\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0639\u0645\u0648\u0645\u06CC \u0631\u0627 \u0686\u0627\u067E \u06A9\u0646\u062F \u0628\u0647 \u0622\u0646\u200C\u0647\u0627 \u0628\u0627\u0632\u0645\u06CC\u200C\u06AF\u0631\u062F\u062F. \u0628\u0639\u0636\u06CC \u0627\u0632 \u0646\u0648\u06CC\u0633\u0647\u200C\u0647\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062E\u0648\u0628\u06CC \u06CC\u0627 \u0627\u0635\u0644\u0627\u064B \u0628\u0647 \u06A9\u0644 \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",webFonts:"\u0627\u06A9\u062B\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u0631\u0648\u0632 \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC \u062F\u0647\u0646\u062F \u06A9\u0647 \u0642\u0644\u0645\u200C\u0647\u0627 \u0627\u0632 \u0637\u0631\u06CC\u0642 \u0648\u0628 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0634\u0648\u0646\u062F. \u0628\u0647\u200C\u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06CC\u200C\u06A9\u0631\u062F\u0646 \u0628\u0647 \u06CC\u06A9\u06CC \u0627\u0632 \u0622\u062E\u0631\u06CC\u0646 \u0646\u0633\u062E\u0647\u200C\u0647\u0627\u06CC \u0645\u0631\u0648\u0631\u06AF\u0631\u062A\u0627\u0646 (\u06CC\u0627 \u062A\u063A\u06CC\u06CC\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631) \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u06A9\u06CC\u0641\u06CC\u062A \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC \u0645\u0648\u062C\u0648\u062F \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u062F\u0647\u062F.",fonts:"MathJax \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0627\u0632 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u06CC\u0627 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 MathJax](%2) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u06CC\u06A9\u06CC \u0627\u0632 \u0622\u0646\u200C\u0647\u0627 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u062F\u0647\u062F.",STIXPage:"\u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0637\u0631\u0627\u062D\u06CC\u200C\u0634\u062F\u0647\u200C\u0627\u0633\u062A \u06A9\u0647 \u0627\u0632 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0642\u0644\u0645\u200C\u0647\u0627 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0648 \u0646\u0635\u0628 \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0628\u0647\u0628\u0648\u062F \u06CC\u0627\u0628\u062F.",TeXPage:"\u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0637\u0631\u0627\u062D\u06CC \u0634\u062F\u0647\u200C\u0627\u0633\u062A \u06A9\u0647 \u06A9\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 MathJax](%1) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0648 \u0646\u0635\u0628 \u0627\u06CC\u0646 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u0645\u06CC\u200C\u0628\u062E\u0634\u062F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/FontWarnings.js");
diff --git a/localization/fa/HTML-CSS.js b/localization/fa/HTML-CSS.js
index 4b2b91c32a..1c95f656bc 100644
--- a/localization/fa/HTML-CSS.js
+++ b/localization/fa/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fa/HTML-CSS.js
+ *  /MathJax-v2/localization/fa/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0642\u0644\u0645 \u0648\u0628\u06CC %1",CantLoadWebFont:"\u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646 \u0642\u0644\u0645 \u0648\u0628\u06CC %1 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0631\u062F",FirefoxCantLoadWebFont:"\u0641\u0627\u06CC\u0631\u0641\u0627\u06A9\u0633 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0631\u0627 \u0627\u0632 \u06CC\u06A9 \u0645\u06CC\u0632\u0627\u0646 \u0627\u0632 \u0631\u0627\u0647 \u062F\u0648\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u062F",CantFindFontUsing:"\u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646 \u06CC\u06A9 \u0642\u0644\u0645 \u0645\u0639\u062A\u0628\u0631 \u0628\u0627\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 %1 \u06CC\u0627\u0641\u062A",WebFontsNotAvailable:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0646\u0627\u0645\u0648\u062C\u0648\u062F\u0646\u062F -- \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC \u0628\u0647 \u062C\u0627\u06CC \u0622\u0646"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/HTML-CSS.js");
+MathJax.Localization.addTranslation("fa","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0642\u0644\u0645 \u0648\u0628\u06CC %1",CantLoadWebFont:"\u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646 \u0642\u0644\u0645 \u0648\u0628\u06CC %1 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0631\u062F",FirefoxCantLoadWebFont:"\u0641\u0627\u06CC\u0631\u0641\u0627\u06A9\u0633 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0631\u0627 \u0627\u0632 \u06CC\u06A9 \u0645\u06CC\u0632\u0627\u0646 \u0627\u0632 \u0631\u0627\u0647 \u062F\u0648\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u062F",CantFindFontUsing:"\u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646 \u06CC\u06A9 \u0642\u0644\u0645 \u0645\u0639\u062A\u0628\u0631 \u0628\u0627\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 %1 \u06CC\u0627\u0641\u062A",WebFontsNotAvailable:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0646\u0627\u0645\u0648\u062C\u0648\u062F\u0646\u062F -- \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC \u0628\u0647 \u062C\u0627\u06CC \u0622\u0646"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/HTML-CSS.js");
diff --git a/localization/fa/HelpDialog.js b/localization/fa/HelpDialog.js
index 82d37bdb68..b675a4caea 100644
--- a/localization/fa/HelpDialog.js
+++ b/localization/fa/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fa/HelpDialog.js
+ *  /MathJax-v2/localization/fa/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",MathJax:"*MathJax* \u06CC\u06A9 \u06A9\u062A\u0627\u0628\u062E\u0627\u0646\u0647\u0654 \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A\u06CC \u0627\u0633\u062A \u06A9\u0647 \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u06A9\u0647 \u0646\u0648\u06CC\u0633\u0646\u062F\u0647\u200C\u0647\u0627\u06CC \u0635\u0641\u062D\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0631\u0627 \u062F\u0631\u0648\u0646 \u0635\u0641\u062D\u0647\u200C\u0647\u0627\u06CC \u0642\u0631\u0627\u0631 \u062F\u0647\u0646\u062F.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u062E\u0648\u0627\u0646\u0646\u062F\u0647\u060C \u0634\u0645\u0627 \u0646\u06CC\u0627\u0632 \u0646\u062F\u0627\u0631\u06CC\u062F \u06A9\u0627\u0631\u06CC \u0627\u0646\u062C\u0627\u0645 \u062F\u0647\u06CC\u062F \u06A9\u0647 \u0627\u06CC\u0646 \u0627\u062A\u0641\u0627\u0642 \u0628\u06CC\u0641\u062A\u062F.",Browsers:"*\u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627*: MathJax \u0628\u0627 \u0647\u0645\u0647\u0654 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u0631\u0648\u0632 \u0634\u0627\u0645\u0644 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u06F6 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0641\u0627\u06CC\u0631\u0641\u0627\u06A9\u0633 \u06F3 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u06A9\u0631\u0648\u0645 \u06F0.\u06F2 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0633\u0627\u0641\u0627\u0631\u0633\u06CC \u06F2 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0627\u067E\u0631\u0627\u06CC \u06F9.\u06F6 \u0628\u0647 \u0628\u0627\u0644\u0627 \u0648 \u0627\u06A9\u062B\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u062A\u0644\u0641\u0646 \u0647\u0645\u0631\u0627\u0647 \u06A9\u0627\u0631 \u0645\u06CC\u200C\u06A9\u0646\u062F.",Menu:"*\u0645\u0646\u0648\u06CC \u0631\u06CC\u0627\u0636\u06CC*: MathJax \u06CC\u06A9 \u0645\u0646\u0648\u06CC \u0645\u062A\u0646\u06CC \u0628\u0647 \u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0645\u06CC\u200C\u0627\u0641\u0632\u0627\u06CC\u062F. \u0628\u0627 \u06A9\u0644\u06CC\u06A9 \u0631\u0627\u0633\u062A \u06CC\u0627 \u06A9\u0644\u06CC\u06A9 \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u0645\u0647\u0627\u0631 (CTRL) \u062F\u0631 \u0647\u0631 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0627\u06CC \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u0628\u0647 \u0627\u06CC\u0646 \u0645\u0646\u0648 \u062F\u0633\u062A \u0628\u06CC\u0627\u0628\u06CC\u062F.",ShowMath:"*\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC \u0628\u0647 \u0639\u0646\u0648\u0627\u0646* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u06A9\u0647 \u0634\u0645\u0627 \u0645\u0646\u0628\u0639 \u0646\u0634\u0627\u0646\u0647\u200C\u06AF\u0630\u0627\u0631\u06CC \u0641\u0631\u0645\u0648\u0644 \u0631\u0627 \u0628\u0631\u0627\u06CC \u0631\u0648\u0646\u0648\u0634\u062A \u0648 \u0686\u0633\u067E\u0627\u0646\u062F\u0646 \u0628\u0628\u06CC\u0646\u06CC\u062F (\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 MathML \u06CC\u0627 \u062F\u0631 \u0642\u0627\u0644\u0628 \u0627\u0635\u0644\u06CC \u0622\u0646).",Settings:"*\u062A\u0646\u0638\u06CC\u0645\u0627\u062A* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u0628\u0647 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC MathJax \u0627\u0632 \u062C\u0645\u0644\u0647\u0654 \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u0648 \u0645\u06A9\u0627\u0646\u06CC\u0632\u0645 \u0627\u0633\u062A\u0641\u0627\u062F\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u06A9\u0646\u062A\u0631\u0644 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F.",Language:"*\u0632\u0628\u0627\u0646* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u0634\u0645\u0627 \u0632\u0628\u0627\u0646 \u0627\u0633\u062A\u0641\u0627\u062F\u0647\u200C\u0634\u062F\u0647 \u062A\u0648\u0633\u0637 MathJax \u0628\u0631\u0627\u06CC \u0645\u0646\u0648\u0647\u0627 \u0648 \u067E\u06CC\u063A\u0627\u0645\u200C\u0647\u0627\u06CC \u062E\u0637\u0627 \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u06A9\u0646\u06CC\u062F.",Zoom:"*\u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0631\u06CC\u0627\u0636\u06CC*: \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0627 \u062E\u0648\u0627\u0646\u062F\u0646 \u06CC\u06A9 \u0645\u0639\u0627\u062F\u0644\u0647 \u0645\u0634\u06A9\u0644\u06CC \u062F\u0627\u0631\u06CC\u062F\u060C MathJax \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0628\u0627 \u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0628\u0647 \u062F\u06CC\u062F\u0646 \u0634\u0645\u0627 \u06A9\u0645\u06A9 \u06A9\u0646\u062F.",Accessibilty:"*\u062F\u0633\u062A\u06CC\u0627\u0628\u06CC\u200C\u067E\u0630\u06CC\u0631\u06CC*: MathJax \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u062E\u0648\u062F\u06A9\u0627\u0631 \u0628\u0627 \u0635\u0641\u062D\u0647\u200C\u0647\u0627\u06CC\u06CC \u06A9\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0631\u0627 \u0628\u0631\u0627\u06CC \u0642\u0627\u0628\u0644 \u062F\u0633\u062A\u0631\u0633 \u0628\u0631\u0627\u06CC \u06A9\u0633\u0627\u0646\u06CC \u06A9\u0647 \u0645\u0634\u06A9\u0644 \u0628\u06CC\u0646\u0627\u06CC\u06CC \u062F\u0627\u0631\u0646\u062F \u0639\u0645\u0644 \u0645\u06CC\u200C\u06A9\u0646\u062F.",Fonts:"*\u0642\u0644\u0645\u200C\u0647\u0627*: MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0645\u0634\u062E\u0635\u06CC \u0627\u06AF\u0631 \u0628\u0631 \u0631\u0648\u06CC \u0631\u0627\u06CC\u0627\u0646\u0647\u0654 \u0634\u0645\u0627 \u0646\u0635\u0628 \u0628\u0627\u0634\u0646\u062F \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F\u061B \u062F\u0631 \u063A\u06CC\u0631 \u0627\u06CC\u0646 \u0635\u0648\u0631\u062A \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0628\u0631 \u067E\u0627\u06CC\u0647\u0654 \u0648\u0628 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u062E\u0648\u0627\u0647\u062F \u06A9\u0631\u062F.  \u0627\u06AF\u0631\u0686\u0647 \u0646\u06CC\u0627\u0632\u06CC \u0646\u06CC\u0633\u062A\u060C \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0646\u0635\u0628\u200C\u0634\u062F\u0647 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u0627 \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u062F \u06A9\u0631\u062F. \u0645\u0627 \u0646\u0635\u0628 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u0631\u0627 \u067E\u06CC\u0634\u0646\u0647\u0627\u062F \u0645\u06CC\u200C\u06A9\u0646\u06CC\u0645."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/HelpDialog.js");
+MathJax.Localization.addTranslation("fa","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",MathJax:"*MathJax* \u06CC\u06A9 \u06A9\u062A\u0627\u0628\u062E\u0627\u0646\u0647\u0654 \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A\u06CC \u0627\u0633\u062A \u06A9\u0647 \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u06A9\u0647 \u0646\u0648\u06CC\u0633\u0646\u062F\u0647\u200C\u0647\u0627\u06CC \u0635\u0641\u062D\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0631\u0627 \u062F\u0631\u0648\u0646 \u0635\u0641\u062D\u0647\u200C\u0647\u0627\u06CC \u0642\u0631\u0627\u0631 \u062F\u0647\u0646\u062F.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u062E\u0648\u0627\u0646\u0646\u062F\u0647\u060C \u0634\u0645\u0627 \u0646\u06CC\u0627\u0632 \u0646\u062F\u0627\u0631\u06CC\u062F \u06A9\u0627\u0631\u06CC \u0627\u0646\u062C\u0627\u0645 \u062F\u0647\u06CC\u062F \u06A9\u0647 \u0627\u06CC\u0646 \u0627\u062A\u0641\u0627\u0642 \u0628\u06CC\u0641\u062A\u062F.",Browsers:"*\u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627*: MathJax \u0628\u0627 \u0647\u0645\u0647\u0654 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u0631\u0648\u0632 \u0634\u0627\u0645\u0644 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u06F6 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0641\u0627\u06CC\u0631\u0641\u0627\u06A9\u0633 \u06F3 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u06A9\u0631\u0648\u0645 \u06F0.\u06F2 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0633\u0627\u0641\u0627\u0631\u0633\u06CC \u06F2 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0627\u067E\u0631\u0627\u06CC \u06F9.\u06F6 \u0628\u0647 \u0628\u0627\u0644\u0627 \u0648 \u0627\u06A9\u062B\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u062A\u0644\u0641\u0646 \u0647\u0645\u0631\u0627\u0647 \u06A9\u0627\u0631 \u0645\u06CC\u200C\u06A9\u0646\u062F.",Menu:"*\u0645\u0646\u0648\u06CC \u0631\u06CC\u0627\u0636\u06CC*: MathJax \u06CC\u06A9 \u0645\u0646\u0648\u06CC \u0645\u062A\u0646\u06CC \u0628\u0647 \u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0645\u06CC\u200C\u0627\u0641\u0632\u0627\u06CC\u062F. \u0628\u0627 \u06A9\u0644\u06CC\u06A9 \u0631\u0627\u0633\u062A \u06CC\u0627 \u06A9\u0644\u06CC\u06A9 \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u0645\u0647\u0627\u0631 (CTRL) \u062F\u0631 \u0647\u0631 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0627\u06CC \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u0628\u0647 \u0627\u06CC\u0646 \u0645\u0646\u0648 \u062F\u0633\u062A \u0628\u06CC\u0627\u0628\u06CC\u062F.",ShowMath:"*\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC \u0628\u0647 \u0639\u0646\u0648\u0627\u0646* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u06A9\u0647 \u0634\u0645\u0627 \u0645\u0646\u0628\u0639 \u0646\u0634\u0627\u0646\u0647\u200C\u06AF\u0630\u0627\u0631\u06CC \u0641\u0631\u0645\u0648\u0644 \u0631\u0627 \u0628\u0631\u0627\u06CC \u0631\u0648\u0646\u0648\u0634\u062A \u0648 \u0686\u0633\u067E\u0627\u0646\u062F\u0646 \u0628\u0628\u06CC\u0646\u06CC\u062F (\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 MathML \u06CC\u0627 \u062F\u0631 \u0642\u0627\u0644\u0628 \u0627\u0635\u0644\u06CC \u0622\u0646).",Settings:"*\u062A\u0646\u0638\u06CC\u0645\u0627\u062A* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u0628\u0647 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC MathJax \u0627\u0632 \u062C\u0645\u0644\u0647\u0654 \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u0648 \u0645\u06A9\u0627\u0646\u06CC\u0632\u0645 \u0627\u0633\u062A\u0641\u0627\u062F\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u06A9\u0646\u062A\u0631\u0644 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F.",Language:"*\u0632\u0628\u0627\u0646* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u0634\u0645\u0627 \u0632\u0628\u0627\u0646 \u0627\u0633\u062A\u0641\u0627\u062F\u0647\u200C\u0634\u062F\u0647 \u062A\u0648\u0633\u0637 MathJax \u0628\u0631\u0627\u06CC \u0645\u0646\u0648\u0647\u0627 \u0648 \u067E\u06CC\u063A\u0627\u0645\u200C\u0647\u0627\u06CC \u062E\u0637\u0627 \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u06A9\u0646\u06CC\u062F.",Zoom:"*\u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0631\u06CC\u0627\u0636\u06CC*: \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0627 \u062E\u0648\u0627\u0646\u062F\u0646 \u06CC\u06A9 \u0645\u0639\u0627\u062F\u0644\u0647 \u0645\u0634\u06A9\u0644\u06CC \u062F\u0627\u0631\u06CC\u062F\u060C MathJax \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0628\u0627 \u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0628\u0647 \u062F\u06CC\u062F\u0646 \u0634\u0645\u0627 \u06A9\u0645\u06A9 \u06A9\u0646\u062F.",Accessibilty:"*\u062F\u0633\u062A\u06CC\u0627\u0628\u06CC\u200C\u067E\u0630\u06CC\u0631\u06CC*: MathJax \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u062E\u0648\u062F\u06A9\u0627\u0631 \u0628\u0627 \u0635\u0641\u062D\u0647\u200C\u0647\u0627\u06CC\u06CC \u06A9\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0631\u0627 \u0628\u0631\u0627\u06CC \u0642\u0627\u0628\u0644 \u062F\u0633\u062A\u0631\u0633 \u0628\u0631\u0627\u06CC \u06A9\u0633\u0627\u0646\u06CC \u06A9\u0647 \u0645\u0634\u06A9\u0644 \u0628\u06CC\u0646\u0627\u06CC\u06CC \u062F\u0627\u0631\u0646\u062F \u0639\u0645\u0644 \u0645\u06CC\u200C\u06A9\u0646\u062F.",Fonts:"*\u0642\u0644\u0645\u200C\u0647\u0627*: MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0645\u0634\u062E\u0635\u06CC \u0627\u06AF\u0631 \u0628\u0631 \u0631\u0648\u06CC \u0631\u0627\u06CC\u0627\u0646\u0647\u0654 \u0634\u0645\u0627 \u0646\u0635\u0628 \u0628\u0627\u0634\u0646\u062F \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F\u061B \u062F\u0631 \u063A\u06CC\u0631 \u0627\u06CC\u0646 \u0635\u0648\u0631\u062A \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0628\u0631 \u067E\u0627\u06CC\u0647\u0654 \u0648\u0628 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u062E\u0648\u0627\u0647\u062F \u06A9\u0631\u062F.  \u0627\u06AF\u0631\u0686\u0647 \u0646\u06CC\u0627\u0632\u06CC \u0646\u06CC\u0633\u062A\u060C \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0646\u0635\u0628\u200C\u0634\u062F\u0647 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u0627 \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u062F \u06A9\u0631\u062F. \u0645\u0627 \u0646\u0635\u0628 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u0631\u0627 \u067E\u06CC\u0634\u0646\u0647\u0627\u062F \u0645\u06CC\u200C\u06A9\u0646\u06CC\u0645."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/HelpDialog.js");
diff --git a/localization/fa/MathML.js b/localization/fa/MathML.js
index 2b9a9d8ef3..ee02f58de7 100644
--- a/localization/fa/MathML.js
+++ b/localization/fa/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fa/MathML.js
+ *  /MathJax-v2/localization/fa/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"mglyph \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",BadMglyphFont:"\u0642\u0644\u0645 \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",MathPlayer:"MathJax \u0646\u062A\u0648\u0627\u0646\u0633\u062A MathPlayer \u0631\u0627 \u0631\u0627\u0647\u200C\u0627\u0646\u062F\u0627\u0632\u06CC \u06A9\u0646\u062F.\n\n\u0627\u06AF\u0631 MathPlayer \u0646\u0635\u0628 \u0646\u06CC\u0633\u062A\u060C \u0634\u0645\u0627 \u0646\u06CC\u0627\u0632 \u062F\u0627\u0631\u06CC\u062F \u06A9\u0647 \u0627\u0628\u062A\u062F\u0627 \u0622\u0646 \u0631\u0627 \u0646\u0635\u0628 \u06A9\u0646\u06CC\u062F.\n\u062F\u0631 \u063A\u06CC\u0631 \u0627\u06CC\u0646 \u0635\u0648\u0631\u062A\u060C \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u0645\u0646\u06CC\u062A\u06CC \u0634\u0645\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u06A9\u0647 \u0627\u0632 \u0627\u062C\u0631\u0627\u06CC\n\u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633 \u062C\u0644\u0648\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u062F. \u0627\u0632 \u06AF\u0632\u06CC\u0646\u0647\u200C\u0647\u0627\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u0645\u0648\u062C\u0648\u062F \u0632\u06CC\u0631\n\u0645\u0646\u0648\u06CC \u0627\u0628\u0632\u0627\u0631 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F \u0648 \u0628\u0631\u06AF\u0647\u0654 \u0627\u0645\u0646\u06CC\u062A \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u06A9\u0646\u06CC\u062F\u060C \u0633\u067E\u0633 \u062F\u06A9\u0645\u0647\u0654\n\u0645\u0631\u062C\u0644\u0647\u0654 \u0633\u0641\u0627\u0631\u0634\u06CC \u0631\u0627 \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F. \u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u062C\u0631\u0627\u06CC\n\u00AB\u0627\u062C\u0631\u0627\u06CC \u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633\u00BB \u0648 \u00AB\u0631\u0641\u062A\u0627\u0631\u0647\u0627\u06CC \u062F\u0648\u062F\u0648\u06CC\u06CC \u0648 \u0627\u0633\u06A9\u0631\u06CC\u067E\u062A\u00BB \u0641\u0639\u0627\u0644\n\u0647\u0633\u062A\u0646\u062F.\n\n\u062F\u0631 \u062D\u0627\u0644 \u062D\u0627\u0636\u0631 \u0634\u0645\u0627 \u0628\u0647 \u062C\u0627\u06CC \u062D\u0631\u0648\u0641 \u0631\u06CC\u0627\u0636\u06CC \u067E\u06CC\u0627\u0645\u200C\u0647\u0627\u06CC \u062E\u0637\u0627\u06CC \u062E\u0648\u0627\u0647\u06CC\u062F \u062F\u06CC\u062F.",CantCreateXMLParser:"MathJax \u0646\u062A\u0648\u0627\u0633\u062A \u06CC\u06A9 \u062A\u062C\u0632\u06CC\u0647\u200C\u06AF\u0631 \u0627\u06A9\u0633\u200C\u0627\u0645\u200C\u0627\u0644 \u0628\u0631\u0627\u06CC MathML \u0627\u06CC\u062C\u0627\u062F \u06A9\u0646\u062F.\n\u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u0645\u0646\u06CC\u062A\u06CC \u00AB\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A \u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633\n\u0639\u0644\u0627\u0645\u062A\u200C\u06AF\u0630\u0627\u0631\u06CC\u200C\u0634\u062F\u0647 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0627\u0645\u0646 \u0628\u0631\u0627\u06CC \u06A9\u062F\u0632\u0646\u06CC\u00BB \u0641\u0639\u0627\u0644 \u0627\u0633\u062A (\u0627\u0632\n\u06AF\u0632\u06CC\u0646\u0647\u0654 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u06AF\u0632\u06CC\u0646\u0647 \u062F\u0631 \u0645\u0646\u0648\u06CC \u0627\u0628\u0632\u0627\u0631\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F \u0648 \u067E\u0646\u0644 \u0627\u0645\u0646\u06CC\u062A \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628\n\u06A9\u0646\u06CC\u062F \u0648 \u062F\u06A9\u0645\u0647\u0654 \u0645\u0631\u062D\u0644\u0647\u0654 \u0633\u0641\u0627\u0631\u0634\u06CC \u062A\u0627 \u0627\u06CC\u0646 \u0631\u0627 \u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F).\n\n\u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC MathML \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u0646\u062F \u062A\u0648\u0633\u0637 MathJax \u067E\u0631\u062F\u0627\u0632\u0634 \u06AF\u0631\u062F\u0646\u062F.",UnknownNodeType:"\u0646\u0648\u0639 \u06AF\u0631\u0647\u0654 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647: %1",UnexpectedTextNode:"\u06AF\u0631\u0647\u0654 \u0645\u062A\u0646\u06CC \u063A\u06CC\u0631\u0645\u0646\u062A\u0638\u0631\u0647:\u200C %1",ErrorParsingMathML:"\u062E\u0637\u0627\u06CC \u062A\u062C\u0632\u06CC\u0647\u0654 MathML",ParsingError:"\u062E\u0637\u0627\u06CC \u062A\u062C\u0632\u06CC\u0647\u0654 MathML\u200F: %1",MathMLSingleElement:"MathML \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0648\u0627\u062D\u062F \u0628\u06CC\u0627\u06CC\u062F",MathMLRootElement:"MathML \u0628\u0627\u06CC\u062F \u062A\u0648\u0633\u0637 \u0639\u0646\u0635\u0631 \u003Cmath\u003E \u062A\u0634\u06A9\u06CC\u0644 \u0634\u062F\u0647 \u0628\u0627\u0634\u062F \u0646\u0647 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/MathML.js");
+MathJax.Localization.addTranslation("fa","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"mglyph \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",BadMglyphFont:"\u0642\u0644\u0645 \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",MathPlayer:"MathJax \u0646\u062A\u0648\u0627\u0646\u0633\u062A MathPlayer \u0631\u0627 \u0631\u0627\u0647\u200C\u0627\u0646\u062F\u0627\u0632\u06CC \u06A9\u0646\u062F.\n\n\u0627\u06AF\u0631 MathPlayer \u0646\u0635\u0628 \u0646\u06CC\u0633\u062A\u060C \u0634\u0645\u0627 \u0646\u06CC\u0627\u0632 \u062F\u0627\u0631\u06CC\u062F \u06A9\u0647 \u0627\u0628\u062A\u062F\u0627 \u0622\u0646 \u0631\u0627 \u0646\u0635\u0628 \u06A9\u0646\u06CC\u062F.\n\u062F\u0631 \u063A\u06CC\u0631 \u0627\u06CC\u0646 \u0635\u0648\u0631\u062A\u060C \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u0645\u0646\u06CC\u062A\u06CC \u0634\u0645\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u06A9\u0647 \u0627\u0632 \u0627\u062C\u0631\u0627\u06CC\n\u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633 \u062C\u0644\u0648\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u062F. \u0627\u0632 \u06AF\u0632\u06CC\u0646\u0647\u200C\u0647\u0627\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u0645\u0648\u062C\u0648\u062F \u0632\u06CC\u0631\n\u0645\u0646\u0648\u06CC \u0627\u0628\u0632\u0627\u0631 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F \u0648 \u0628\u0631\u06AF\u0647\u0654 \u0627\u0645\u0646\u06CC\u062A \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u06A9\u0646\u06CC\u062F\u060C \u0633\u067E\u0633 \u062F\u06A9\u0645\u0647\u0654\n\u0645\u0631\u062C\u0644\u0647\u0654 \u0633\u0641\u0627\u0631\u0634\u06CC \u0631\u0627 \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F. \u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u062C\u0631\u0627\u06CC\n\u00AB\u0627\u062C\u0631\u0627\u06CC \u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633\u00BB \u0648 \u00AB\u0631\u0641\u062A\u0627\u0631\u0647\u0627\u06CC \u062F\u0648\u062F\u0648\u06CC\u06CC \u0648 \u0627\u0633\u06A9\u0631\u06CC\u067E\u062A\u00BB \u0641\u0639\u0627\u0644\n\u0647\u0633\u062A\u0646\u062F.\n\n\u062F\u0631 \u062D\u0627\u0644 \u062D\u0627\u0636\u0631 \u0634\u0645\u0627 \u0628\u0647 \u062C\u0627\u06CC \u062D\u0631\u0648\u0641 \u0631\u06CC\u0627\u0636\u06CC \u067E\u06CC\u0627\u0645\u200C\u0647\u0627\u06CC \u062E\u0637\u0627\u06CC \u062E\u0648\u0627\u0647\u06CC\u062F \u062F\u06CC\u062F.",CantCreateXMLParser:"MathJax \u0646\u062A\u0648\u0627\u0633\u062A \u06CC\u06A9 \u062A\u062C\u0632\u06CC\u0647\u200C\u06AF\u0631 \u0627\u06A9\u0633\u200C\u0627\u0645\u200C\u0627\u0644 \u0628\u0631\u0627\u06CC MathML \u0627\u06CC\u062C\u0627\u062F \u06A9\u0646\u062F.\n\u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u0645\u0646\u06CC\u062A\u06CC \u00AB\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A \u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633\n\u0639\u0644\u0627\u0645\u062A\u200C\u06AF\u0630\u0627\u0631\u06CC\u200C\u0634\u062F\u0647 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0627\u0645\u0646 \u0628\u0631\u0627\u06CC \u06A9\u062F\u0632\u0646\u06CC\u00BB \u0641\u0639\u0627\u0644 \u0627\u0633\u062A (\u0627\u0632\n\u06AF\u0632\u06CC\u0646\u0647\u0654 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u06AF\u0632\u06CC\u0646\u0647 \u062F\u0631 \u0645\u0646\u0648\u06CC \u0627\u0628\u0632\u0627\u0631\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F \u0648 \u067E\u0646\u0644 \u0627\u0645\u0646\u06CC\u062A \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628\n\u06A9\u0646\u06CC\u062F \u0648 \u062F\u06A9\u0645\u0647\u0654 \u0645\u0631\u062D\u0644\u0647\u0654 \u0633\u0641\u0627\u0631\u0634\u06CC \u062A\u0627 \u0627\u06CC\u0646 \u0631\u0627 \u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F).\n\n\u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC MathML \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u0646\u062F \u062A\u0648\u0633\u0637 MathJax \u067E\u0631\u062F\u0627\u0632\u0634 \u06AF\u0631\u062F\u0646\u062F.",UnknownNodeType:"\u0646\u0648\u0639 \u06AF\u0631\u0647\u0654 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647: %1",UnexpectedTextNode:"\u06AF\u0631\u0647\u0654 \u0645\u062A\u0646\u06CC \u063A\u06CC\u0631\u0645\u0646\u062A\u0638\u0631\u0647:\u200C %1",ErrorParsingMathML:"\u062E\u0637\u0627\u06CC \u062A\u062C\u0632\u06CC\u0647\u0654 MathML",ParsingError:"\u062E\u0637\u0627\u06CC \u062A\u062C\u0632\u06CC\u0647\u0654 MathML\u200F: %1",MathMLSingleElement:"MathML \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0648\u0627\u062D\u062F \u0628\u06CC\u0627\u06CC\u062F",MathMLRootElement:"MathML \u0628\u0627\u06CC\u062F \u062A\u0648\u0633\u0637 \u0639\u0646\u0635\u0631 \u003Cmath\u003E \u062A\u0634\u06A9\u06CC\u0644 \u0634\u062F\u0647 \u0628\u0627\u0634\u062F \u0646\u0647 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/MathML.js");
diff --git a/localization/fa/MathMenu.js b/localization/fa/MathMenu.js
index 373a315c1c..98145ba945 100644
--- a/localization/fa/MathMenu.js
+++ b/localization/fa/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fa/MathMenu.js
+ *  /MathJax-v2/localization/fa/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u0639\u0646\u0648\u0627\u0646",MathMLcode:"\u06A9\u062F MathML",OriginalMathML:"MathML \u0627\u0635\u0644\u06CC",TeXCommands:"\u062F\u0633\u062A\u0648\u0631\u0627\u062A \u062A\u06A9",AsciiMathInput:"\u0648\u0631\u0648\u062F\u06CC AsciiMathML",Original:"\u062D\u0627\u0644\u062A \u0627\u0635\u0644\u06CC",ErrorMessage:"\u067E\u06CC\u0627\u0645 \u062E\u0637\u0627",Annotation:"\u06CC\u0627\u062F\u062F\u0627\u0634\u062A",TeX:"\u062A\u06A9",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML \u0645\u062D\u062A\u0648\u0627",OpenMath:"OpenMath",texHints:"\u0646\u0645\u0627\u06CC\u0634 \u0646\u06A9\u062A\u0647\u200C\u0647\u0627\u06CC \u062A\u06A9 \u062F\u0631 MathML",Settings:"\u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A",ZoomTrigger:"\u0645\u0627\u0634\u0647\u0654 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Hover:"\u0642\u0631\u0627\u0631\u062F\u0627\u062F\u0646 \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0628\u0631 \u0631\u0648\u06CC \u0622\u0646",Click:"\u06A9\u0644\u06CC\u06A9",DoubleClick:"\u062F\u0648\u0628\u0627\u0631 \u06A9\u0644\u06CC\u06A9",NoZoom:"\u0628\u062F\u0648\u0646 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",TriggerRequires:"\u062A\u063A\u06CC\u06CC\u0631 \u062D\u0627\u0644\u062A \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u0627\u0633\u062A \u0628\u0647:",Option:"\u06AF\u0632\u06CC\u0646\u0647",Alt:"\u062F\u06AF\u0631\u0633\u0627\u0632",Command:"\u062F\u0633\u062A\u0648\u0631",Control:"\u0645\u0647\u0627\u0631",Shift:"\u062A\u0628\u062F\u06CC\u0644",ZoomFactor:"\u0636\u0631\u06CC\u0628 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Renderer:"\u0627\u0631\u0627\u0626\u0647\u200C\u062F\u0647\u0646\u062F\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC",MPHandles:"\u0627\u062C\u0627\u0632\u0647\u200C\u0628\u062F\u0647 MathPlayer \u0645\u062F\u06CC\u0631\u06CC\u062A \u06A9\u0646\u062F:",MenuEvents:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0646\u0648",MouseEvents:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0648\u0634\u0648\u0627\u0631\u0647",MenuAndMouse:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0648 \u0645\u0646\u0648",FontPrefs:"\u062A\u0631\u062C\u06CC\u062D\u0627\u062A \u0642\u0644\u0645",ForHTMLCSS:"\u0628\u0631\u0627\u06CC \u0627\u0686\u200C\u062A\u06CC\u200C\u0627\u0645\u200C\u0627\u0644-\u0633\u06CC\u200C\u0627\u0633\u200C\u0627\u0633:",Auto:"\u062E\u0648\u062F\u06A9\u0627\u0631",TeXLocal:"\u062A\u06A9 (\u0645\u062D\u0644\u06CC)",TeXWeb:"\u062A\u06A9 (\u0648\u0628)",TeXImage:"\u062A\u06A9 (\u0646\u06AF\u0627\u0631\u0647)",STIXLocal:"STIX (\u0645\u062D\u0644\u06CC)",STIXWeb:"STIX (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",AsanaMathWeb:"\u0631\u06CC\u0627\u0636\u06CC \u0622\u0633\u0627\u0646\u0627 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",GyrePagellaWeb:"\u06AF\u0631\u06CC \u067E\u0627\u06AF\u0644\u0627 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",GyreTermesWeb:"\u06AF\u06CC\u0631 \u062A\u0631\u0645\u0632 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",LatinModernWeb:"\u0644\u0627\u062A\u06CC\u0646 \u0645\u062F\u0631\u0646 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",NeoEulerWeb:"\u0646\u0626\u0648 \u0627\u0648\u06CC\u0644\u0631 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",ContextMenu:"\u0645\u0646\u0648 \u0645\u062A\u0646\u06CC",Browser:"\u0645\u0631\u0648\u0631\u06AF\u0631",Scale:"\u0645\u0642\u06CC\u0627\u0633\u200C\u062F\u0647\u06CC \u0647\u0645\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A ...",Discoverable:"\u0628\u0631\u062C\u0633\u062A\u0647\u200C\u0634\u062F\u0646 \u0628\u0627 \u0642\u0631\u0627\u0631\u062F\u0627\u062F\u0646 \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0628\u0631 \u0631\u0648\u06CC\u0634",Locale:"\u0632\u0628\u0627\u0646",LoadLocale:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0627\u0632 \u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC ...",About:"\u062F\u0631\u0628\u0627\u0631\u0647\u0654 MathJax",Help:"\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",localTeXfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 \u0645\u062D\u0644\u06CC",webTeXfonts:"\u0628\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645 \u0648\u0628\u06CC \u062A\u06A9",imagefonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC",localSTIXfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX \u0645\u062D\u0644\u06CC",webSVGfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC SVG",genericfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0639\u0645\u0648\u0645\u06CC \u06CC\u0648\u0646\u06CC\u06A9\u062F",wofforotffonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC woff \u06CC\u0627 otf",eotffonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC eot",svgfonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC svg",WebkitNativeMMLWarning:"\u0628\u0647 \u0646\u0638\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathML \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F\u060C \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0631\u0641\u062A\u0646 \u0628\u0647 \u062D\u0627\u0644\u062A \u062E\u0631\u0648\u062C\u06CC MathML \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u06A9\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0645\u0648\u062C\u0648\u062F \u062F\u0631 \u0635\u0641\u062D\u0647 \u063A\u06CC\u0631\u0642\u0627\u0628\u0644 \u062E\u0648\u0627\u0646\u062F\u0646 \u0634\u0648\u0646\u062F.",MSIENativeMMLWarning:"\u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u0628\u0647 \u0627\u0641\u0632\u0627\u06CC\u0647\u0654 MathPlayer \u0628\u0631\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u062E\u0631\u0648\u062C\u06CC MathML \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u0627\u0633\u062A.",OperaNativeMMLWarning:"\u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0627\u067E\u0631\u0627 \u0627\u0632 MathML \u0645\u062D\u062F\u0648\u062F \u0627\u0633\u062A \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u0646\u062A\u062E\u0627\u0628 \u062E\u0631\u0648\u062C\u06CC MathML \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0627\u0639\u062B \u0646\u0645\u0627\u06CC\u0634 \u0636\u0639\u06CC\u0641 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u062A\u200C\u0647\u0627 \u0634\u0648\u062F.",SafariNativeMMLWarning:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0647\u0645\u0647\u0654 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0634\u062F\u0647 \u062A\u0648\u0633\u0637 MathJax \u0631\u0627 \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u0627\u062A \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062F\u0631\u0633\u062A\u06CC \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0646\u062F.",FirefoxNativeMMLWarning:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0647\u0645\u0647\u0654 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0634\u062F\u0647\u0654 MathML \u062A\u0648\u0633\u0637 MathJax \u0631\u0627 \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u062A\u200C\u0647\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062E\u0648\u0628\u06CC \u062F\u06CC\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",MSIESVGWarning:"SVG \u062F\u0631 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u0642\u0628\u0644 \u0627\u0632 \u0646\u0633\u062E\u0647\u0654 \u06F9 \u0622\u0646 \u06CC\u0627 \u0648\u0642\u062A\u06CC \u06A9\u0647 \u0634\u0628\u06CC\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0633\u062E\u0647\u200C\u0647\u0627\u06CC \u0642\u0628\u0644\u06CC \u0631\u0627 \u0645\u06CC\u200C\u06A9\u0646\u062F \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A. \u0627\u0646\u062A\u062E\u0627\u0628 \u062E\u0631\u0648\u062C\u06CC SVG \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0627\u0639\u062B \u0634\u0648\u062F \u06A9\u0647 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u062F\u0631\u0633\u062A\u06CC \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",LoadURL:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647 \u0627\u0632 \u0627\u06CC\u0646 \u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC:",BadURL:"\u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u0628\u0631\u0627\u06CC \u067E\u0631\u0648\u0646\u062F\u0647\u0654 \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u067E\u062A\u06CC \u0627\u0633\u062A \u06A9\u0647 \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647\u200C\u0627\u06CC MathJax \u0631\u0627 \u062A\u0639\u0631\u06CC\u0641 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u067E\u0631\u0648\u0646\u062F\u0647\u200C\u0647\u0627\u06CC \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A \u0628\u0627 \u067E\u0633\u0648\u0646\u062F '.js' \u062A\u0645\u0627\u0645 \u0645\u06CC\u200C\u0634\u0648\u0646\u062F.",BadData:"\u0634\u06A9\u0633\u062A \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647\u200C\u0627\u06CC \u0627\u0632 %1",SwitchAnyway:"(\u0628\u0631 \u00AB\u0628\u0627\u0634\u062F\u00BB \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F \u062A\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u0634\u0648\u062F \u0648 \u0628\u0631 \u00AB\u0644\u063A\u0648\u00BB \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F \u062A\u0627 \u0646\u0645\u0627\u06CC\u0634\u200C\u062F\u0647\u0646\u062F\u0647\u0654 \u0641\u0639\u0644\u06CC \u0627\u062F\u0627\u0645\u0647 \u06CC\u0627\u0628\u062F)",ScaleMath:"\u0645\u0642\u06CC\u0627\u0633 \u0647\u0645\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A (\u062F\u0631 \u0645\u0642\u0627\u06CC\u0633\u0647 \u0628\u0627 \u0645\u062A\u0646 \u0627\u0637\u0631\u0627\u0641) \u062A\u0648\u0633\u0637",NonZeroScale:"\u0645\u0642\u06CC\u0627\u0633 \u0646\u0628\u0627\u06CC\u062F \u0635\u0641\u0631 \u0628\u0627\u0634\u062F",PercentScale:"\u0645\u0642\u06CC\u0627\u0633 \u0628\u0627\u06CC\u062F \u062F\u0631\u0635\u062F\u06CC \u0628\u0627\u0634\u062F (\u0628\u0631\u0627\u06CC \u0646\u0645\u0648\u0646\u0647 \u06F1\u06F2\u06F0\u066A)",IE8warning:"\u0627\u06CC\u0646 \u0645\u0646\u0648\u06CC MathJax \u0648 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0631\u0627 \u063A\u06CC\u0631\u0641\u0639\u0627\u0644 \u0645\u06CC\u200C\u06A9\u0646\u062F \u0648\u0644\u06CC \u0634\u0645\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u0628\u0627 Alt-Click \u0628\u0631 \u0631\u0648\u06CC \u0639\u0628\u0627\u0631\u062A \u0645\u0646\u0648\u06CC MathJax \u0631\u0627 \u0628\u062F\u0633\u062A \u0622\u0648\u0631\u06CC\u062F.\n\n\u0648\u0627\u0642\u0639\u0627\u064B \u0645\u06CC\u200C\u062E\u0648\u0627\u0647\u06CC\u062F \u062A\u0646\u0638\u06CC\u0645\u0627\u062A MathPlayer \u0631\u0627 \u062A\u063A\u06CC\u06CC\u0631 \u062F\u0647\u06CC\u062F\u061F",IE9warning:"\u0645\u0646\u0648\u06CC \u0645\u062A\u0646\u06CC MathJax \u063A\u06CC\u0631\u0641\u0639\u0627\u0644 \u062E\u0648\u0627\u0647\u062F \u0634\u062F \u0648\u0644\u06CC \u0634\u0645\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0628\u0627 Alt-Click \u0628\u0631 \u0631\u0648\u06CC \u0639\u0628\u0627\u0631\u062A \u0645\u0646\u0648\u06CC MathJax \u0631\u0627 \u0628\u062F\u0633\u062A \u0628\u06CC\u0627\u0648\u0631\u06CC\u062F.",NoOriginalForm:"\u062D\u0627\u0644\u062A \u0627\u0648\u0644\u0628\u0647 \u0645\u0648\u062C\u0648\u062F \u0646\u06CC\u0633\u062A",Close:"\u0628\u0633\u062A\u0646",EqSource:"\u0645\u0646\u0628\u0639 \u0645\u0639\u0627\u062F\u0644\u0647\u0654 MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/MathMenu.js");
+MathJax.Localization.addTranslation("fa","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u0639\u0646\u0648\u0627\u0646",MathMLcode:"\u06A9\u062F MathML",OriginalMathML:"MathML \u0627\u0635\u0644\u06CC",TeXCommands:"\u062F\u0633\u062A\u0648\u0631\u0627\u062A \u062A\u06A9",AsciiMathInput:"\u0648\u0631\u0648\u062F\u06CC AsciiMathML",Original:"\u062D\u0627\u0644\u062A \u0627\u0635\u0644\u06CC",ErrorMessage:"\u067E\u06CC\u0627\u0645 \u062E\u0637\u0627",Annotation:"\u06CC\u0627\u062F\u062F\u0627\u0634\u062A",TeX:"\u062A\u06A9",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML \u0645\u062D\u062A\u0648\u0627",OpenMath:"OpenMath",texHints:"\u0646\u0645\u0627\u06CC\u0634 \u0646\u06A9\u062A\u0647\u200C\u0647\u0627\u06CC \u062A\u06A9 \u062F\u0631 MathML",Settings:"\u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A",ZoomTrigger:"\u0645\u0627\u0634\u0647\u0654 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Hover:"\u0642\u0631\u0627\u0631\u062F\u0627\u062F\u0646 \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0628\u0631 \u0631\u0648\u06CC \u0622\u0646",Click:"\u06A9\u0644\u06CC\u06A9",DoubleClick:"\u062F\u0648\u0628\u0627\u0631 \u06A9\u0644\u06CC\u06A9",NoZoom:"\u0628\u062F\u0648\u0646 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",TriggerRequires:"\u062A\u063A\u06CC\u06CC\u0631 \u062D\u0627\u0644\u062A \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u0627\u0633\u062A \u0628\u0647:",Option:"\u06AF\u0632\u06CC\u0646\u0647",Alt:"\u062F\u06AF\u0631\u0633\u0627\u0632",Command:"\u062F\u0633\u062A\u0648\u0631",Control:"\u0645\u0647\u0627\u0631",Shift:"\u062A\u0628\u062F\u06CC\u0644",ZoomFactor:"\u0636\u0631\u06CC\u0628 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Renderer:"\u0627\u0631\u0627\u0626\u0647\u200C\u062F\u0647\u0646\u062F\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC",MPHandles:"\u0627\u062C\u0627\u0632\u0647\u200C\u0628\u062F\u0647 MathPlayer \u0645\u062F\u06CC\u0631\u06CC\u062A \u06A9\u0646\u062F:",MenuEvents:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0646\u0648",MouseEvents:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0648\u0634\u0648\u0627\u0631\u0647",MenuAndMouse:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0648 \u0645\u0646\u0648",FontPrefs:"\u062A\u0631\u062C\u06CC\u062D\u0627\u062A \u0642\u0644\u0645",ForHTMLCSS:"\u0628\u0631\u0627\u06CC \u0627\u0686\u200C\u062A\u06CC\u200C\u0627\u0645\u200C\u0627\u0644-\u0633\u06CC\u200C\u0627\u0633\u200C\u0627\u0633:",Auto:"\u062E\u0648\u062F\u06A9\u0627\u0631",TeXLocal:"\u062A\u06A9 (\u0645\u062D\u0644\u06CC)",TeXWeb:"\u062A\u06A9 (\u0648\u0628)",TeXImage:"\u062A\u06A9 (\u0646\u06AF\u0627\u0631\u0647)",STIXLocal:"STIX (\u0645\u062D\u0644\u06CC)",STIXWeb:"STIX (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",AsanaMathWeb:"\u0631\u06CC\u0627\u0636\u06CC \u0622\u0633\u0627\u0646\u0627 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",GyrePagellaWeb:"\u06AF\u0631\u06CC \u067E\u0627\u06AF\u0644\u0627 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",GyreTermesWeb:"\u06AF\u06CC\u0631 \u062A\u0631\u0645\u0632 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",LatinModernWeb:"\u0644\u0627\u062A\u06CC\u0646 \u0645\u062F\u0631\u0646 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",NeoEulerWeb:"\u0646\u0626\u0648 \u0627\u0648\u06CC\u0644\u0631 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",ContextMenu:"\u0645\u0646\u0648 \u0645\u062A\u0646\u06CC",Browser:"\u0645\u0631\u0648\u0631\u06AF\u0631",Scale:"\u0645\u0642\u06CC\u0627\u0633\u200C\u062F\u0647\u06CC \u0647\u0645\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A ...",Discoverable:"\u0628\u0631\u062C\u0633\u062A\u0647\u200C\u0634\u062F\u0646 \u0628\u0627 \u0642\u0631\u0627\u0631\u062F\u0627\u062F\u0646 \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0628\u0631 \u0631\u0648\u06CC\u0634",Locale:"\u0632\u0628\u0627\u0646",LoadLocale:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0627\u0632 \u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC ...",About:"\u062F\u0631\u0628\u0627\u0631\u0647\u0654 MathJax",Help:"\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",localTeXfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 \u0645\u062D\u0644\u06CC",webTeXfonts:"\u0628\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645 \u0648\u0628\u06CC \u062A\u06A9",imagefonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC",localSTIXfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX \u0645\u062D\u0644\u06CC",webSVGfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC SVG",genericfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0639\u0645\u0648\u0645\u06CC \u06CC\u0648\u0646\u06CC\u06A9\u062F",wofforotffonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC woff \u06CC\u0627 otf",eotffonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC eot",svgfonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC svg",WebkitNativeMMLWarning:"\u0628\u0647 \u0646\u0638\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathML \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F\u060C \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0631\u0641\u062A\u0646 \u0628\u0647 \u062D\u0627\u0644\u062A \u062E\u0631\u0648\u062C\u06CC MathML \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u06A9\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0645\u0648\u062C\u0648\u062F \u062F\u0631 \u0635\u0641\u062D\u0647 \u063A\u06CC\u0631\u0642\u0627\u0628\u0644 \u062E\u0648\u0627\u0646\u062F\u0646 \u0634\u0648\u0646\u062F.",MSIENativeMMLWarning:"\u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u0628\u0647 \u0627\u0641\u0632\u0627\u06CC\u0647\u0654 MathPlayer \u0628\u0631\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u062E\u0631\u0648\u062C\u06CC MathML \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u0627\u0633\u062A.",OperaNativeMMLWarning:"\u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0627\u067E\u0631\u0627 \u0627\u0632 MathML \u0645\u062D\u062F\u0648\u062F \u0627\u0633\u062A \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u0646\u062A\u062E\u0627\u0628 \u062E\u0631\u0648\u062C\u06CC MathML \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0627\u0639\u062B \u0646\u0645\u0627\u06CC\u0634 \u0636\u0639\u06CC\u0641 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u062A\u200C\u0647\u0627 \u0634\u0648\u062F.",SafariNativeMMLWarning:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0647\u0645\u0647\u0654 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0634\u062F\u0647 \u062A\u0648\u0633\u0637 MathJax \u0631\u0627 \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u0627\u062A \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062F\u0631\u0633\u062A\u06CC \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0646\u062F.",FirefoxNativeMMLWarning:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0647\u0645\u0647\u0654 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0634\u062F\u0647\u0654 MathML \u062A\u0648\u0633\u0637 MathJax \u0631\u0627 \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u062A\u200C\u0647\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062E\u0648\u0628\u06CC \u062F\u06CC\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",MSIESVGWarning:"SVG \u062F\u0631 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u0642\u0628\u0644 \u0627\u0632 \u0646\u0633\u062E\u0647\u0654 \u06F9 \u0622\u0646 \u06CC\u0627 \u0648\u0642\u062A\u06CC \u06A9\u0647 \u0634\u0628\u06CC\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0633\u062E\u0647\u200C\u0647\u0627\u06CC \u0642\u0628\u0644\u06CC \u0631\u0627 \u0645\u06CC\u200C\u06A9\u0646\u062F \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A. \u0627\u0646\u062A\u062E\u0627\u0628 \u062E\u0631\u0648\u062C\u06CC SVG \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0627\u0639\u062B \u0634\u0648\u062F \u06A9\u0647 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u062F\u0631\u0633\u062A\u06CC \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",LoadURL:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647 \u0627\u0632 \u0627\u06CC\u0646 \u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC:",BadURL:"\u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u0628\u0631\u0627\u06CC \u067E\u0631\u0648\u0646\u062F\u0647\u0654 \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u067E\u062A\u06CC \u0627\u0633\u062A \u06A9\u0647 \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647\u200C\u0627\u06CC MathJax \u0631\u0627 \u062A\u0639\u0631\u06CC\u0641 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u067E\u0631\u0648\u0646\u062F\u0647\u200C\u0647\u0627\u06CC \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A \u0628\u0627 \u067E\u0633\u0648\u0646\u062F '.js' \u062A\u0645\u0627\u0645 \u0645\u06CC\u200C\u0634\u0648\u0646\u062F.",BadData:"\u0634\u06A9\u0633\u062A \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647\u200C\u0627\u06CC \u0627\u0632 %1",SwitchAnyway:"(\u0628\u0631 \u00AB\u0628\u0627\u0634\u062F\u00BB \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F \u062A\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u0634\u0648\u062F \u0648 \u0628\u0631 \u00AB\u0644\u063A\u0648\u00BB \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F \u062A\u0627 \u0646\u0645\u0627\u06CC\u0634\u200C\u062F\u0647\u0646\u062F\u0647\u0654 \u0641\u0639\u0644\u06CC \u0627\u062F\u0627\u0645\u0647 \u06CC\u0627\u0628\u062F)",ScaleMath:"\u0645\u0642\u06CC\u0627\u0633 \u0647\u0645\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A (\u062F\u0631 \u0645\u0642\u0627\u06CC\u0633\u0647 \u0628\u0627 \u0645\u062A\u0646 \u0627\u0637\u0631\u0627\u0641) \u062A\u0648\u0633\u0637",NonZeroScale:"\u0645\u0642\u06CC\u0627\u0633 \u0646\u0628\u0627\u06CC\u062F \u0635\u0641\u0631 \u0628\u0627\u0634\u062F",PercentScale:"\u0645\u0642\u06CC\u0627\u0633 \u0628\u0627\u06CC\u062F \u062F\u0631\u0635\u062F\u06CC \u0628\u0627\u0634\u062F (\u0628\u0631\u0627\u06CC \u0646\u0645\u0648\u0646\u0647 \u06F1\u06F2\u06F0\u066A)",IE8warning:"\u0627\u06CC\u0646 \u0645\u0646\u0648\u06CC MathJax \u0648 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0631\u0627 \u063A\u06CC\u0631\u0641\u0639\u0627\u0644 \u0645\u06CC\u200C\u06A9\u0646\u062F \u0648\u0644\u06CC \u0634\u0645\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u0628\u0627 Alt-Click \u0628\u0631 \u0631\u0648\u06CC \u0639\u0628\u0627\u0631\u062A \u0645\u0646\u0648\u06CC MathJax \u0631\u0627 \u0628\u062F\u0633\u062A \u0622\u0648\u0631\u06CC\u062F.\n\n\u0648\u0627\u0642\u0639\u0627\u064B \u0645\u06CC\u200C\u062E\u0648\u0627\u0647\u06CC\u062F \u062A\u0646\u0638\u06CC\u0645\u0627\u062A MathPlayer \u0631\u0627 \u062A\u063A\u06CC\u06CC\u0631 \u062F\u0647\u06CC\u062F\u061F",IE9warning:"\u0645\u0646\u0648\u06CC \u0645\u062A\u0646\u06CC MathJax \u063A\u06CC\u0631\u0641\u0639\u0627\u0644 \u062E\u0648\u0627\u0647\u062F \u0634\u062F \u0648\u0644\u06CC \u0634\u0645\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0628\u0627 Alt-Click \u0628\u0631 \u0631\u0648\u06CC \u0639\u0628\u0627\u0631\u062A \u0645\u0646\u0648\u06CC MathJax \u0631\u0627 \u0628\u062F\u0633\u062A \u0628\u06CC\u0627\u0648\u0631\u06CC\u062F.",NoOriginalForm:"\u062D\u0627\u0644\u062A \u0627\u0648\u0644\u0628\u0647 \u0645\u0648\u062C\u0648\u062F \u0646\u06CC\u0633\u062A",Close:"\u0628\u0633\u062A\u0646",EqSource:"\u0645\u0646\u0628\u0639 \u0645\u0639\u0627\u062F\u0644\u0647\u0654 MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/MathMenu.js");
diff --git a/localization/fa/TeX.js b/localization/fa/TeX.js
index cd298571f3..a1afdb94f7 100644
--- a/localization/fa/TeX.js
+++ b/localization/fa/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fa/TeX.js
+ *  /MathJax-v2/localization/fa/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647",ExtraCloseMissingOpen:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u0647 \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632",MissingLeftExtraRight:"\u0641\u0642\u062F\u0627\u0646 \u200E\\left \u06CC\u0627 \u200E\\right \u0627\u0636\u0627\u0641\u06CC",MissingScript:"\u0641\u0642\u062F\u0627\u0646 \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0627\u0644\u0627\u0645\u062A\u0646 \u06CC\u0627 \u0632\u06CC\u0631\u0645\u062A\u0646",ExtraLeftMissingRight:"\u200E\\left \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u200E\\right",Misplaced:"%1 \u0646\u0627\u0628\u062C\u0627",MissingOpenForSub:"\u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0628\u0631\u0627\u06CC \u0632\u06CC\u0631\u0645\u062A\u0646",MissingOpenForSup:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0628\u0627\u0644\u0627\u0645\u062A\u0646",AmbiguousUseOf:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0645\u0628\u0647\u0645 \u0627\u0632 \u200E%1",EnvBadEnd:"\u200E\\begin{%1}\u200E \u067E\u0627\u06CC\u0627\u0646\u200C\u06CC\u0627\u0641\u062A\u0647 \u0628\u0627 \u200E\\end{%2}\u200E",EnvMissingEnd:"\u200E\\end{%1}\u200E \u06AF\u0645\u200C\u0634\u062F\u0647",MissingBoxFor:"\u062C\u0639\u0628\u0647\u0654 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",MissingCloseBrace:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0645\u0641\u0642\u0648\u062F",UndefinedControlSequence:"\u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644 \u062A\u0639\u0631\u06CC\u0641\u200C\u0646\u0634\u062F\u0647\u0654 %1",DoubleExponent:"\u062A\u0648\u0627\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleSubscripts:"\u0632\u06CC\u0631\u0645\u062A\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleExponentPrime:"\u062A\u0648\u0627\u0646 \u062F\u0648 \u0645\u0648\u062C\u0628 \u062A\u0648\u0627\u0646 \u0645\u0636\u0627\u0639\u0641 \u0634\u062F: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",CantUseHash1:"\u0634\u0645\u0627 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u00AB\u0645\u0627\u06A9\u0631\u0648 \u0646\u0648\u06CC\u0633\u0647\u0654 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 #\u00BB \u062F\u0631 \u062D\u0627\u0644\u062A \u0631\u06CC\u0627\u0636\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",MisplacedMiddle:"\u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0631\u0648\u0646 \u200E\\left \u0648 \u200E\\right \u0646\u0648\u0634\u062A\u0647\u200C\u0634\u0648\u062F",MisplacedLimits:"\u200E%1 \u0641\u0642\u0637 \u062F\u0631 \u0639\u0645\u0644\u06AF\u0631\u0647\u0627 \u0645\u062C\u0627\u0632 \u0627\u0633\u062A",MisplacedMoveRoot:"\u200E%1 \u062A\u0646\u0647\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u062F\u0631\u0648\u0646 \u06CC\u06A9 \u0631\u06CC\u0634\u0647 \u0638\u0627\u0647\u0631 \u0634\u0648\u062F",MultipleCommand:"\u200E%1 \u0686\u0646\u062F\u06AF\u0627\u0646\u0647",IntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u0628\u0627\u0634\u062F",NotMathMLToken:"%1 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0646\u0634\u0627\u0646 \u0646\u06CC\u0633\u062A",InvalidMathMLAttr:"\u0648\u06CC\u0698\u06AF\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631 MathML: %1",UnknownAttrForElement:"%1 \u06CC\u06A9 \u0648\u06CC\u0698\u06AF\u06CC \u0634\u0646\u0627\u062E\u062A\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %2 \u0646\u06CC\u0633\u062A",MaxMacroSub1:"\u0627\u0632 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u0634\u0645\u0627\u0631 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u0647\u0627\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",MaxMacroSub2:"\u0627\u0632 \u0634\u0645\u0627\u0631 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u062A\u0639\u062F\u0627\u062F \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0645\u062D\u06CC\u0637 \u0644\u06CC\u062A\u06A9 \u0628\u0627\u0632\u0634\u062A\u06AF\u06CC \u0645\u0648\u062C\u0648\u062F \u0627\u0633\u062A\u061F",MissingArgFor:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",ExtraAlignTab:"\u0628\u0631\u06AF\u0647\u0654 \u0686\u06CC\u0646\u0634 \u0627\u0636\u0627\u0641\u06CC \u062F\u0631 \u0645\u062A\u0646 \u200E\\cases",BracketMustBeDimension:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0628\u0639\u062F \u0628\u0627\u0634\u062F",InvalidEnv:" \u0646\u0627\u0645 \u0645\u062D\u06CC\u0637 \u0646\u0627\u0645\u0639\u062A\u0628\u0631 \u00AB%1\u00BB",UnknownEnv:"\u0645\u062D\u06CC\u0637 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u00AB%1\u00BB",ExtraCloseLooking:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u06CC \u0647\u0646\u06AF\u0627\u0645 \u062C\u0633\u062A\u062C\u0648\u06CC %1",MissingCloseBracket:"\u00AB]\u00BB \u0628\u0633\u062A\u0647 \u0628\u0631\u0627\u06CC \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MissingOrUnrecognizedDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647 \u06AF\u0645\u200C\u0634\u062F\u0647 \u06CC\u0627 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u0628\u0631\u0627\u06CC \u200E%1",MissingDimOrUnits:"\u0627\u0628\u0639\u0627\u062F \u06CC\u0627 \u0648\u0627\u062D\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u200E%1",TokenNotFoundForCommand:"%1 \u0628\u0631\u0627\u06CC %2 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MathNotTerminated:"\u0631\u06CC\u0627\u0636\u06CC \u062F\u0631 \u062C\u0639\u0628\u0647\u0654 \u0645\u062A\u0646 \u067E\u0627\u06CC\u0627\u0646 \u0646\u06CC\u0627\u0641\u062A\u0647\u200C\u0627\u0633\u062A",IllegalMacroParam:"\u0627\u0631\u062C\u0627\u0639 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u0645\u0627\u06A9\u0631\u0648\u06CC \u0646\u0627\u0645\u062C\u0627\u0632",MaxBufferSize:"\u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u06CC\u0627\u0646\u06AF\u06CC\u0631 \u062F\u0627\u062E\u0644\u06CC MathJax \u06AF\u0630\u0634\u062A\u0647 \u0634\u062F\u0647\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",CommandNotAllowedInEnv:"\u200E%1 \u062F\u0631 \u0645\u062D\u06CC\u0637 \u200E%2 \u0645\u062C\u0627\u0632 \u0646\u06CC\u0633\u062A",MultipleLabel:"\u0628\u0631\u0686\u0633\u067E \u00AB%1\u00BB \u0686\u0646\u062F\u0628\u0627\u0631 \u062A\u0639\u0631\u06CC\u0641\u200C\u0634\u062F\u0647",CommandAtTheBeginingOfLine:"%1 \u0628\u0627\u06CC\u062F \u062F\u0631 \u0634\u0631\u0648\u0639 \u062E\u0637 \u0628\u06CC\u0627\u06CC\u062F",IllegalAlign:"\u0686\u06CC\u0646\u0634 \u0645\u0634\u062E\u0635\u200C\u0634\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u062F\u0631 \u200E%1",BadMathStyleFor:"\u0633\u0628\u06A9 \u0628\u062F \u0631\u06CC\u0627\u0636\u06CC \u0628\u0631\u0627\u06CC \u200E%1",PositiveIntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0647 \u200E%1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u0639\u062F\u062F \u0645\u062B\u0628\u062A \u0628\u0627\u0634\u062F",ErroneousNestingEq:"\u0633\u0627\u062E\u062A\u0627\u0631\u0647\u0627\u06CC \u0627\u0634\u062A\u0628\u0627\u0647 \u062A\u0648\u062F\u0631\u062A\u0648\u06CC \u0645\u0639\u0627\u062F\u0644\u0647",MultlineRowsOneCol:"\u0633\u0637\u0631 \u062F\u0631\u0648\u0646 \u0645\u062D\u06CC\u0637 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0642\u06CC\u0642\u0627\u064B \u06CC\u06A9 \u0633\u062A\u0648\u0646 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F",MultipleBBoxProperty:"%1 \u062F\u0648\u0628\u0627\u0631 \u062F\u0631 \u200E%2 \u062A\u0639\u0631\u06CC\u0641 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",InvalidBBoxProperty:"'%1' \u0628\u0647 \u0646\u0638\u0631 \u06CC\u06A9 \u0631\u0646\u06AF\u060C \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0628\u0627\u0644\u0634\u062A\u06A9 \u06CC\u0627 \u0633\u0628\u06A9 \u0628\u0647 \u0646\u0638\u0631 \u0646\u0645\u06CC\u200C\u0631\u0633\u062F",ExtraEndMissingBegin:"\u200E%1 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \\begingroup \u06AF\u0645\u200C\u0634\u062F\u0647",GlobalNotFollowedBy:"\u200E%1 \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u200E\\let\u060C \u200E\\def \u06CC\u0627 \u200E\\newcommand \u0646\u06CC\u0627\u0645\u062F\u0647\u200C\u0627\u0633\u062A",UndefinedColorModel:"\u0645\u062F\u0644 \u0631\u0646\u06AF\u06CC '%1' \u062A\u0639\u0631\u06CC\u0641 \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A",ModelArg1:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u06F3 \u0639\u062F\u062F \u0627\u0633\u062A",InvalidDecimalNumber:"\u0639\u062F\u062F \u0627\u0639\u0634\u0627\u0631\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631",ModelArg2:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u0628\u06CC\u0646 %2 \u0648 %3 \u0628\u0627\u0634\u062F",InvalidNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u0639\u062A\u0628\u0631",NewextarrowArg1:"\u0646\u0634\u0627\u0648\u0646\u062F \u0627\u0648\u0644 \u0628\u0647 \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0646\u0627\u0645 \u06A9\u0646\u062A\u0631\u0644\u06CC \u062F\u0646\u0628\u0627\u0644\u0647 \u0628\u0627\u0634\u062F",NewextarrowArg2:"\u0646\u0634\u0646\u0627\u0648\u0646\u062F \u062F\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u062F\u0648 \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u062C\u062F\u0627 \u0634\u062F\u0647 \u0628\u0627 \u06CC\u06A9 \u06A9\u0627\u0645\u0627 \u0628\u0627\u0634\u062F",NewextarrowArg3:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0633\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u06CC\u06A9 \u0646\u0648\u06CC\u0633\u0647\u0654 \u06CC\u0648\u0646\u06CC\u06A9\u062F \u0628\u0627\u0634\u062F",NoClosingChar:"%1 \u0628\u0633\u062A\u0647 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",IllegalControlSequenceName:"\u0646\u0627\u0645 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u0631\u0627\u06CC \u200E%1 \u0646\u0627\u0645\u062C\u0627\u0632",IllegalParamNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u062C\u0627\u0632 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u062F\u0631 \u200E%1 \u0645\u0634\u062E\u0635 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",MissingCS:"\u200E%1 \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u06CC\u0627\u06CC\u062F",CantUseHash2:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u0627\u0632 # \u062F\u0631 \u0627\u0644\u06AF\u0648 \u0628\u0631\u0627\u06CC %1",SequentialParam:"\u067E\u0627\u0631\u0627\u0645\u062A\u0631\u0647\u0627 \u0628\u0631\u0627\u06CC %1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u0639\u062F\u062F\u06CC \u0628\u0627\u0634\u062F",MissingReplacementString:"\u0631\u0634\u062A\u0647\u0654 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u062A\u0639\u0631\u06CC\u0641 \u200E%1",MismatchUseDef:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u200E%1 \u0628\u0627 \u062A\u0639\u0631\u06CC\u0641 \u0622\u0646 \u062A\u0637\u0628\u06CC\u0642 \u0646\u062F\u0627\u0631\u062F",RunawayArgument:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0641\u0631\u0627\u0631 \u0628\u0631\u0627\u06CC \u200E%1\u061F",NoClosingDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647\u0654 \u0628\u0633\u062A\u0646 \u0628\u0631\u0627\u06CC \u200E%1 \u067E\u06CC\u062F\u0627 \u0646\u0634\u062F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/TeX.js");
+MathJax.Localization.addTranslation("fa","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647",ExtraCloseMissingOpen:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u0647 \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632",MissingLeftExtraRight:"\u0641\u0642\u062F\u0627\u0646 \u200E\\left \u06CC\u0627 \u200E\\right \u0627\u0636\u0627\u0641\u06CC",MissingScript:"\u0641\u0642\u062F\u0627\u0646 \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0627\u0644\u0627\u0645\u062A\u0646 \u06CC\u0627 \u0632\u06CC\u0631\u0645\u062A\u0646",ExtraLeftMissingRight:"\u200E\\left \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u200E\\right",Misplaced:"%1 \u0646\u0627\u0628\u062C\u0627",MissingOpenForSub:"\u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0628\u0631\u0627\u06CC \u0632\u06CC\u0631\u0645\u062A\u0646",MissingOpenForSup:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0628\u0627\u0644\u0627\u0645\u062A\u0646",AmbiguousUseOf:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0645\u0628\u0647\u0645 \u0627\u0632 \u200E%1",EnvBadEnd:"\u200E\\begin{%1}\u200E \u067E\u0627\u06CC\u0627\u0646\u200C\u06CC\u0627\u0641\u062A\u0647 \u0628\u0627 \u200E\\end{%2}\u200E",EnvMissingEnd:"\u200E\\end{%1}\u200E \u06AF\u0645\u200C\u0634\u062F\u0647",MissingBoxFor:"\u062C\u0639\u0628\u0647\u0654 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",MissingCloseBrace:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0645\u0641\u0642\u0648\u062F",UndefinedControlSequence:"\u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644 \u062A\u0639\u0631\u06CC\u0641\u200C\u0646\u0634\u062F\u0647\u0654 %1",DoubleExponent:"\u062A\u0648\u0627\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleSubscripts:"\u0632\u06CC\u0631\u0645\u062A\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleExponentPrime:"\u062A\u0648\u0627\u0646 \u062F\u0648 \u0645\u0648\u062C\u0628 \u062A\u0648\u0627\u0646 \u0645\u0636\u0627\u0639\u0641 \u0634\u062F: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",CantUseHash1:"\u0634\u0645\u0627 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u00AB\u0645\u0627\u06A9\u0631\u0648 \u0646\u0648\u06CC\u0633\u0647\u0654 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 #\u00BB \u062F\u0631 \u062D\u0627\u0644\u062A \u0631\u06CC\u0627\u0636\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",MisplacedMiddle:"\u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0631\u0648\u0646 \u200E\\left \u0648 \u200E\\right \u0646\u0648\u0634\u062A\u0647\u200C\u0634\u0648\u062F",MisplacedLimits:"\u200E%1 \u0641\u0642\u0637 \u062F\u0631 \u0639\u0645\u0644\u06AF\u0631\u0647\u0627 \u0645\u062C\u0627\u0632 \u0627\u0633\u062A",MisplacedMoveRoot:"\u200E%1 \u062A\u0646\u0647\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u062F\u0631\u0648\u0646 \u06CC\u06A9 \u0631\u06CC\u0634\u0647 \u0638\u0627\u0647\u0631 \u0634\u0648\u062F",MultipleCommand:"\u200E%1 \u0686\u0646\u062F\u06AF\u0627\u0646\u0647",IntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u0628\u0627\u0634\u062F",NotMathMLToken:"%1 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0646\u0634\u0627\u0646 \u0646\u06CC\u0633\u062A",InvalidMathMLAttr:"\u0648\u06CC\u0698\u06AF\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631 MathML: %1",UnknownAttrForElement:"%1 \u06CC\u06A9 \u0648\u06CC\u0698\u06AF\u06CC \u0634\u0646\u0627\u062E\u062A\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %2 \u0646\u06CC\u0633\u062A",MaxMacroSub1:"\u0627\u0632 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u0634\u0645\u0627\u0631 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u0647\u0627\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",MaxMacroSub2:"\u0627\u0632 \u0634\u0645\u0627\u0631 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u062A\u0639\u062F\u0627\u062F \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0645\u062D\u06CC\u0637 \u0644\u06CC\u062A\u06A9 \u0628\u0627\u0632\u0634\u062A\u06AF\u06CC \u0645\u0648\u062C\u0648\u062F \u0627\u0633\u062A\u061F",MissingArgFor:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",ExtraAlignTab:"\u0628\u0631\u06AF\u0647\u0654 \u0686\u06CC\u0646\u0634 \u0627\u0636\u0627\u0641\u06CC \u062F\u0631 \u0645\u062A\u0646 \u200E\\cases",BracketMustBeDimension:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0628\u0639\u062F \u0628\u0627\u0634\u062F",InvalidEnv:" \u0646\u0627\u0645 \u0645\u062D\u06CC\u0637 \u0646\u0627\u0645\u0639\u062A\u0628\u0631 \u00AB%1\u00BB",UnknownEnv:"\u0645\u062D\u06CC\u0637 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u00AB%1\u00BB",ExtraCloseLooking:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u06CC \u0647\u0646\u06AF\u0627\u0645 \u062C\u0633\u062A\u062C\u0648\u06CC %1",MissingCloseBracket:"\u00AB]\u00BB \u0628\u0633\u062A\u0647 \u0628\u0631\u0627\u06CC \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MissingOrUnrecognizedDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647 \u06AF\u0645\u200C\u0634\u062F\u0647 \u06CC\u0627 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u0628\u0631\u0627\u06CC \u200E%1",MissingDimOrUnits:"\u0627\u0628\u0639\u0627\u062F \u06CC\u0627 \u0648\u0627\u062D\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u200E%1",TokenNotFoundForCommand:"%1 \u0628\u0631\u0627\u06CC %2 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MathNotTerminated:"\u0631\u06CC\u0627\u0636\u06CC \u062F\u0631 \u062C\u0639\u0628\u0647\u0654 \u0645\u062A\u0646 \u067E\u0627\u06CC\u0627\u0646 \u0646\u06CC\u0627\u0641\u062A\u0647\u200C\u0627\u0633\u062A",IllegalMacroParam:"\u0627\u0631\u062C\u0627\u0639 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u0645\u0627\u06A9\u0631\u0648\u06CC \u0646\u0627\u0645\u062C\u0627\u0632",MaxBufferSize:"\u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u06CC\u0627\u0646\u06AF\u06CC\u0631 \u062F\u0627\u062E\u0644\u06CC MathJax \u06AF\u0630\u0634\u062A\u0647 \u0634\u062F\u0647\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",CommandNotAllowedInEnv:"\u200E%1 \u062F\u0631 \u0645\u062D\u06CC\u0637 \u200E%2 \u0645\u062C\u0627\u0632 \u0646\u06CC\u0633\u062A",MultipleLabel:"\u0628\u0631\u0686\u0633\u067E \u00AB%1\u00BB \u0686\u0646\u062F\u0628\u0627\u0631 \u062A\u0639\u0631\u06CC\u0641\u200C\u0634\u062F\u0647",CommandAtTheBeginingOfLine:"%1 \u0628\u0627\u06CC\u062F \u062F\u0631 \u0634\u0631\u0648\u0639 \u062E\u0637 \u0628\u06CC\u0627\u06CC\u062F",IllegalAlign:"\u0686\u06CC\u0646\u0634 \u0645\u0634\u062E\u0635\u200C\u0634\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u062F\u0631 \u200E%1",BadMathStyleFor:"\u0633\u0628\u06A9 \u0628\u062F \u0631\u06CC\u0627\u0636\u06CC \u0628\u0631\u0627\u06CC \u200E%1",PositiveIntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0647 \u200E%1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u0639\u062F\u062F \u0645\u062B\u0628\u062A \u0628\u0627\u0634\u062F",ErroneousNestingEq:"\u0633\u0627\u062E\u062A\u0627\u0631\u0647\u0627\u06CC \u0627\u0634\u062A\u0628\u0627\u0647 \u062A\u0648\u062F\u0631\u062A\u0648\u06CC \u0645\u0639\u0627\u062F\u0644\u0647",MultlineRowsOneCol:"\u0633\u0637\u0631 \u062F\u0631\u0648\u0646 \u0645\u062D\u06CC\u0637 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0642\u06CC\u0642\u0627\u064B \u06CC\u06A9 \u0633\u062A\u0648\u0646 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F",MultipleBBoxProperty:"%1 \u062F\u0648\u0628\u0627\u0631 \u062F\u0631 \u200E%2 \u062A\u0639\u0631\u06CC\u0641 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",InvalidBBoxProperty:"'%1' \u0628\u0647 \u0646\u0638\u0631 \u06CC\u06A9 \u0631\u0646\u06AF\u060C \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0628\u0627\u0644\u0634\u062A\u06A9 \u06CC\u0627 \u0633\u0628\u06A9 \u0628\u0647 \u0646\u0638\u0631 \u0646\u0645\u06CC\u200C\u0631\u0633\u062F",ExtraEndMissingBegin:"\u200E%1 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \\begingroup \u06AF\u0645\u200C\u0634\u062F\u0647",GlobalNotFollowedBy:"\u200E%1 \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u200E\\let\u060C \u200E\\def \u06CC\u0627 \u200E\\newcommand \u0646\u06CC\u0627\u0645\u062F\u0647\u200C\u0627\u0633\u062A",UndefinedColorModel:"\u0645\u062F\u0644 \u0631\u0646\u06AF\u06CC '%1' \u062A\u0639\u0631\u06CC\u0641 \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A",ModelArg1:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u06F3 \u0639\u062F\u062F \u0627\u0633\u062A",InvalidDecimalNumber:"\u0639\u062F\u062F \u0627\u0639\u0634\u0627\u0631\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631",ModelArg2:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u0628\u06CC\u0646 %2 \u0648 %3 \u0628\u0627\u0634\u062F",InvalidNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u0639\u062A\u0628\u0631",NewextarrowArg1:"\u0646\u0634\u0627\u0648\u0646\u062F \u0627\u0648\u0644 \u0628\u0647 \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0646\u0627\u0645 \u06A9\u0646\u062A\u0631\u0644\u06CC \u062F\u0646\u0628\u0627\u0644\u0647 \u0628\u0627\u0634\u062F",NewextarrowArg2:"\u0646\u0634\u0646\u0627\u0648\u0646\u062F \u062F\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u062F\u0648 \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u062C\u062F\u0627 \u0634\u062F\u0647 \u0628\u0627 \u06CC\u06A9 \u06A9\u0627\u0645\u0627 \u0628\u0627\u0634\u062F",NewextarrowArg3:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0633\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u06CC\u06A9 \u0646\u0648\u06CC\u0633\u0647\u0654 \u06CC\u0648\u0646\u06CC\u06A9\u062F \u0628\u0627\u0634\u062F",NoClosingChar:"%1 \u0628\u0633\u062A\u0647 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",IllegalControlSequenceName:"\u0646\u0627\u0645 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u0631\u0627\u06CC \u200E%1 \u0646\u0627\u0645\u062C\u0627\u0632",IllegalParamNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u062C\u0627\u0632 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u062F\u0631 \u200E%1 \u0645\u0634\u062E\u0635 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",MissingCS:"\u200E%1 \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u06CC\u0627\u06CC\u062F",CantUseHash2:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u0627\u0632 # \u062F\u0631 \u0627\u0644\u06AF\u0648 \u0628\u0631\u0627\u06CC %1",SequentialParam:"\u067E\u0627\u0631\u0627\u0645\u062A\u0631\u0647\u0627 \u0628\u0631\u0627\u06CC %1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u0639\u062F\u062F\u06CC \u0628\u0627\u0634\u062F",MissingReplacementString:"\u0631\u0634\u062A\u0647\u0654 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u062A\u0639\u0631\u06CC\u0641 \u200E%1",MismatchUseDef:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u200E%1 \u0628\u0627 \u062A\u0639\u0631\u06CC\u0641 \u0622\u0646 \u062A\u0637\u0628\u06CC\u0642 \u0646\u062F\u0627\u0631\u062F",RunawayArgument:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0641\u0631\u0627\u0631 \u0628\u0631\u0627\u06CC \u200E%1\u061F",NoClosingDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647\u0654 \u0628\u0633\u062A\u0646 \u0628\u0631\u0627\u06CC \u200E%1 \u067E\u06CC\u062F\u0627 \u0646\u0634\u062F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/TeX.js");
diff --git a/localization/fa/fa.js b/localization/fa/fa.js
index acad28dd4a..4df381a861 100644
--- a/localization/fa/fa.js
+++ b/localization/fa/fa.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fa/fa.js
+ *  /MathJax-v2/localization/fa/fa.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fa",null,{menuTitle:"\u0641\u0627\u0631\u0633\u06CC",fontDirection:"rtl",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax \u06CC\u06A9 \u06A9\u0644\u0648\u0686\u06A9 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u06A9\u0627\u0631\u0628\u0631\u06CC \u06CC\u0627\u0641\u062A \u06A9\u0647 \u0634\u0627\u0645\u0644 \u06A9\u062F \u0627\u062C\u0631\u0627\u06CC\u06CC \u0627\u0633\u062A. \u0622\u06CC\u0627 \u0645\u06CC\u200C\u062E\u0648\u0627\u0647\u06CC\u062F \u0622\u0646 \u0631\u0627 \u0627\u062C\u0631\u0627 \u06A9\u0646\u06CC\u062F\u061F\n\n(\u0628\u0647\u062A\u0631 \u0627\u0633\u062A \u0628\u0631 \u0644\u063A\u0648 \u0628\u0641\u0634\u0627\u0631\u06CC\u062F \u0645\u06AF\u0631 \u0627\u06CC\u0646\u06A9\u0647 \u062E\u0648\u062F\u062A\u0627\u0646 \u06A9\u0644\u0648\u0686\u06A9 \u0631\u0627 \u062A\u0646\u0638\u06CC\u0645\u200C\u06A9\u0631\u062F\u0647\u200C\u0627\u06CC\u062F.)",MathProcessingError:"\u062E\u0637\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC",MathError:"\u062D\u0637\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC",LoadFile:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC %1",Loading:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC",LoadFailed:"\u062E\u0637\u0627 \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u067E\u0631\u0648\u0646\u062F\u0647: %1",ProcessMath:"\u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Processing:"\u067E\u0631\u062F\u0627\u0632\u0634",TypesetMath:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Typesetting:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC",MathJaxNotSupported:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathJax \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/fa.js");
+MathJax.Localization.addTranslation("fa",null,{menuTitle:"\u0641\u0627\u0631\u0633\u06CC",fontDirection:"rtl",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax \u06CC\u06A9 \u06A9\u0644\u0648\u0686\u06A9 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u06A9\u0627\u0631\u0628\u0631\u06CC \u06CC\u0627\u0641\u062A \u06A9\u0647 \u0634\u0627\u0645\u0644 \u06A9\u062F \u0627\u062C\u0631\u0627\u06CC\u06CC \u0627\u0633\u062A. \u0622\u06CC\u0627 \u0645\u06CC\u200C\u062E\u0648\u0627\u0647\u06CC\u062F \u0622\u0646 \u0631\u0627 \u0627\u062C\u0631\u0627 \u06A9\u0646\u06CC\u062F\u061F\n\n(\u0628\u0647\u062A\u0631 \u0627\u0633\u062A \u0628\u0631 \u0644\u063A\u0648 \u0628\u0641\u0634\u0627\u0631\u06CC\u062F \u0645\u06AF\u0631 \u0627\u06CC\u0646\u06A9\u0647 \u062E\u0648\u062F\u062A\u0627\u0646 \u06A9\u0644\u0648\u0686\u06A9 \u0631\u0627 \u062A\u0646\u0638\u06CC\u0645\u200C\u06A9\u0631\u062F\u0647\u200C\u0627\u06CC\u062F.)",MathProcessingError:"\u062E\u0637\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC",MathError:"\u062D\u0637\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC",LoadFile:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC %1",Loading:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC",LoadFailed:"\u062E\u0637\u0627 \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u067E\u0631\u0648\u0646\u062F\u0647: %1",ProcessMath:"\u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Processing:"\u067E\u0631\u062F\u0627\u0632\u0634",TypesetMath:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Typesetting:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC",MathJaxNotSupported:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathJax \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/fa/fa.js");
diff --git a/localization/fi/FontWarnings.js b/localization/fi/FontWarnings.js
index 096608500f..ddf7a275ac 100644
--- a/localization/fi/FontWarnings.js
+++ b/localization/fi/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fi/FontWarnings.js
+ *  /MathJax-v2/localization/fi/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/FontWarnings.js");
+MathJax.Localization.addTranslation("fi","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/FontWarnings.js");
diff --git a/localization/fi/HTML-CSS.js b/localization/fi/HTML-CSS.js
index 086f0c383f..0839bb0758 100644
--- a/localization/fi/HTML-CSS.js
+++ b/localization/fi/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fi/HTML-CSS.js
+ *  /MathJax-v2/localization/fi/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/HTML-CSS.js");
+MathJax.Localization.addTranslation("fi","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/HTML-CSS.js");
diff --git a/localization/fi/HelpDialog.js b/localization/fi/HelpDialog.js
index 3a22fe0c5f..a63a1bf592 100644
--- a/localization/fi/HelpDialog.js
+++ b/localization/fi/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fi/HelpDialog.js
+ *  /MathJax-v2/localization/fi/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/HelpDialog.js");
+MathJax.Localization.addTranslation("fi","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/HelpDialog.js");
diff --git a/localization/fi/MathML.js b/localization/fi/MathML.js
index 9f1332ef23..b0018b880b 100644
--- a/localization/fi/MathML.js
+++ b/localization/fi/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fi/MathML.js
+ *  /MathJax-v2/localization/fi/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/MathML.js");
+MathJax.Localization.addTranslation("fi","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/MathML.js");
diff --git a/localization/fi/MathMenu.js b/localization/fi/MathMenu.js
index 5c5401bc79..7a8e4fa092 100644
--- a/localization/fi/MathMenu.js
+++ b/localization/fi/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fi/MathMenu.js
+ *  /MathJax-v2/localization/fi/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi","MathMenu",{version:"2.7.6",isLoaded:true,strings:{MathMLcode:"MathML-koodi",OriginalMathML:"Alkuper\u00E4inen MathML",TeXCommands:"TeX-komennot",AsciiMathInput:"AsciiMathML-sy\u00F6te",Original:"Alkuper\u00E4inen muoto",ErrorMessage:"Virheviesti",Annotation:"Huomautus",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"N\u00E4yt\u00E4 TeX-vihjeet MathML:ss\u00E4",Settings:"Matematiikan asetukset",ZoomTrigger:"Loitonnustapa",Hover:"Kursorin vienti ylle",Click:"Napsautus",DoubleClick:"Kaksoisnapsautus",NoZoom:"Ei loitonnustapaa",TriggerRequires:"Tapa vaatii:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Loitonnuskerroin",MPHandles:"Anna MathPlayerin k\u00E4sitell\u00E4",MenuEvents:"Valikkotapahtumat",MouseEvents:"Hiiritapahtumat",MenuAndMouse:"Hiiri- ja valikkotapahtumat",FontPrefs:"Kirjasinasetukset",ForHTMLCSS:"HTML-CSS:lle:",Auto:"Automaattinen",TeXLocal:"TeX (paikallinen)",TeXWeb:"TeX (verkko)",TeXImage:"TeX (kuva)",STIXLocal:"STIX (paikallinen)",ContextMenu:"Ponnahdusvalikko",Browser:"Selain",Scale:"Skaalaa kaikki matematiikka...",Discoverable:"Korosta kun kursori tuodaan ylle",Locale:"Kieli",LoadLocale:"Lataa osoitteesta...",About:"Tietoja MathJaxista",Help:"MathJaxin ohje",localTeXfonts:"k\u00E4ytt\u00E4en paikallisia TeX-kirjasimia",webTeXfonts:"k\u00E4ytt\u00E4en verkon TeX-kirjasimia",imagefonts:"K\u00E4ytt\u00E4en kuvakirjasimia",localSTIXfonts:"k\u00E4ytt\u00E4en paikallisia STIX-kirjasimia",webSVGfonts:"k\u00E4ytt\u00E4en verkon SVG-kirjasimia",genericfonts:"k\u00E4ytt\u00E4en geneerisi\u00E4 unicode-kirjasimia",wofforotffonts:"woff- tai otf-kirjasimia",eotffonts:"eot-kirjasimia",svgfonts:"svg-kirjasimia",Close:"Sulje"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/MathMenu.js");
+MathJax.Localization.addTranslation("fi","MathMenu",{version:"2.7.9",isLoaded:true,strings:{MathMLcode:"MathML-koodi",OriginalMathML:"Alkuper\u00E4inen MathML",TeXCommands:"TeX-komennot",AsciiMathInput:"AsciiMathML-sy\u00F6te",Original:"Alkuper\u00E4inen muoto",ErrorMessage:"Virheviesti",Annotation:"Huomautus",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"N\u00E4yt\u00E4 TeX-vihjeet MathML:ss\u00E4",Settings:"Matematiikan asetukset",ZoomTrigger:"Loitonnustapa",Hover:"Kursorin vienti ylle",Click:"Napsautus",DoubleClick:"Kaksoisnapsautus",NoZoom:"Ei loitonnustapaa",TriggerRequires:"Tapa vaatii:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Loitonnuskerroin",MPHandles:"Anna MathPlayerin k\u00E4sitell\u00E4",MenuEvents:"Valikkotapahtumat",MouseEvents:"Hiiritapahtumat",MenuAndMouse:"Hiiri- ja valikkotapahtumat",FontPrefs:"Kirjasinasetukset",ForHTMLCSS:"HTML-CSS:lle:",Auto:"Automaattinen",TeXLocal:"TeX (paikallinen)",TeXWeb:"TeX (verkko)",TeXImage:"TeX (kuva)",STIXLocal:"STIX (paikallinen)",ContextMenu:"Ponnahdusvalikko",Browser:"Selain",Scale:"Skaalaa kaikki matematiikka...",Discoverable:"Korosta kun kursori tuodaan ylle",Locale:"Kieli",LoadLocale:"Lataa osoitteesta...",About:"Tietoja MathJaxista",Help:"MathJaxin ohje",localTeXfonts:"k\u00E4ytt\u00E4en paikallisia TeX-kirjasimia",webTeXfonts:"k\u00E4ytt\u00E4en verkon TeX-kirjasimia",imagefonts:"K\u00E4ytt\u00E4en kuvakirjasimia",localSTIXfonts:"k\u00E4ytt\u00E4en paikallisia STIX-kirjasimia",webSVGfonts:"k\u00E4ytt\u00E4en verkon SVG-kirjasimia",genericfonts:"k\u00E4ytt\u00E4en geneerisi\u00E4 unicode-kirjasimia",wofforotffonts:"woff- tai otf-kirjasimia",eotffonts:"eot-kirjasimia",svgfonts:"svg-kirjasimia",Close:"Sulje"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/MathMenu.js");
diff --git a/localization/fi/TeX.js b/localization/fi/TeX.js
index add38420d7..7a90303ed9 100644
--- a/localization/fi/TeX.js
+++ b/localization/fi/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fi/TeX.js
+ *  /MathJax-v2/localization/fi/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/TeX.js");
+MathJax.Localization.addTranslation("fi","TeX",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/TeX.js");
diff --git a/localization/fi/fi.js b/localization/fi/fi.js
index 5b0b1a209e..218b503b90 100644
--- a/localization/fi/fi.js
+++ b/localization/fi/fi.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fi/fi.js
+ *  /MathJax-v2/localization/fi/fi.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fi",null,{menuTitle:"suomi",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax on l\u00F6yt\u00E4nyt ev\u00E4steen, joka sis\u00E4lt\u00E4\u00E4 asetuksia ja ohjelmakoodia. Haluatko ajaa sen?\n\n(Peru, ellet ole luonut ev\u00E4stett\u00E4 itse.)",MathProcessingError:"Matematiikan k\u00E4sittely ep\u00E4onnistui",MathError:"Matematiikkavirhe",LoadFile:"Ladataan tiedostoa %1",Loading:"Ladataan",LoadFailed:"Tiedoston %1 lataaminen ep\u00E4onnistui",ProcessMath:"K\u00E4sitell\u00E4\u00E4n matematiikkaa: %1%%",Processing:"K\u00E4sitell\u00E4\u00E4n",TypesetMath:"Ladotaan matematiikkaa: %1%%",Typesetting:"Ladotaan",MathJaxNotSupported:"Selaimesi ei tue MathJaxia"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/fi.js");
+MathJax.Localization.addTranslation("fi",null,{menuTitle:"suomi",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax on l\u00F6yt\u00E4nyt ev\u00E4steen, joka sis\u00E4lt\u00E4\u00E4 asetuksia ja ohjelmakoodia. Haluatko ajaa sen?\n\n(Peru, ellet ole luonut ev\u00E4stett\u00E4 itse.)",MathProcessingError:"Matematiikan k\u00E4sittely ep\u00E4onnistui",MathError:"Matematiikkavirhe",LoadFile:"Ladataan tiedostoa %1",Loading:"Ladataan",LoadFailed:"Tiedoston %1 lataaminen ep\u00E4onnistui",ProcessMath:"K\u00E4sitell\u00E4\u00E4n matematiikkaa: %1%%",Processing:"K\u00E4sitell\u00E4\u00E4n",TypesetMath:"Ladotaan matematiikkaa: %1%%",Typesetting:"Ladotaan",MathJaxNotSupported:"Selaimesi ei tue MathJaxia"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/fi/fi.js");
diff --git a/localization/fr/FontWarnings.js b/localization/fr/FontWarnings.js
index cc21322387..5ab75e50b9 100644
--- a/localization/fr/FontWarnings.js
+++ b/localization/fr/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fr/FontWarnings.js
+ *  /MathJax-v2/localization/fr/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax utilise les polices web pour afficher les expressions math\u00E9matiques sur cette page. Celles-ci mettent du temps \u00E0 \u00EAtre t\u00E9l\u00E9charg\u00E9es et la page serait affich\u00E9e plus rapidement si vous installiez les polices math\u00E9matiques directement dans le dossier des polices de votre syst\u00E8me.",imageFonts:"MathJax utilise des images de caract\u00E8res plut\u00F4t que les polices web ou locales. Ceci rend le rendu plus lent que la normale et les expressions math\u00E9matiques peuvent ne pas s'imprimer \u00E0 la r\u00E9solution maximale de votre imprimante",noFonts:"MathJax est incapable de localiser une police \u00E0 utiliser pour afficher ses math\u00E9matiques, et les polices image ne sont pas disponibles, donc il doit se rabattre sur les caract\u00E8res unicode en esp\u00E9rant que votre navigateur pourra les afficher. Certains caract\u00E8res peuvent ne pas s\u2019afficher correctement, voire m\u00EAme pas du tout.",webFonts:"La plupart des navigateurs modernes permettent de t\u00E9l\u00E9charger des polices depuis le web. Mettre \u00E0 jour votre navigateur (ou changer de navigateur) pourrait am\u00E9liorer la qualit\u00E9 des math\u00E9matiques sur cette page.",fonts:"MathJax peut utiliser soit les [polices STIX](%1) soit les [polices TeX MathJax](%2). T\u00E9l\u00E9chargez et installez une de ces polices pour am\u00E9liorer votre exp\u00E9rience avec MathJax.",STIXPage:"Cette page est con\u00E7ue pour utiliser les [polices STIX](%1). T\u00E9l\u00E9chargez et installez ces polices pour am\u00E9liorer votre exp\u00E9rience avec MathJax.",TeXPage:"Cette page est con\u00E7ue pour utiliser les [polices TeX MathJax](%1). T\u00E9l\u00E9chargez et installez ces polices pour am\u00E9liorer votre exp\u00E9rience avec MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/FontWarnings.js");
+MathJax.Localization.addTranslation("fr","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax utilise les polices web pour afficher les expressions math\u00E9matiques sur cette page. Celles-ci mettent du temps \u00E0 \u00EAtre t\u00E9l\u00E9charg\u00E9es et la page serait affich\u00E9e plus rapidement si vous installiez les polices math\u00E9matiques directement dans le dossier des polices de votre syst\u00E8me.",imageFonts:"MathJax utilise des images de caract\u00E8res plut\u00F4t que les polices web ou locales. Ceci rend le rendu plus lent que la normale et les expressions math\u00E9matiques peuvent ne pas s'imprimer \u00E0 la r\u00E9solution maximale de votre imprimante",noFonts:"MathJax est incapable de localiser une police \u00E0 utiliser pour afficher ses math\u00E9matiques, et les polices image ne sont pas disponibles, donc il doit se rabattre sur les caract\u00E8res unicode en esp\u00E9rant que votre navigateur pourra les afficher. Certains caract\u00E8res peuvent ne pas s\u2019afficher correctement, voire m\u00EAme pas du tout.",webFonts:"La plupart des navigateurs modernes permettent de t\u00E9l\u00E9charger des polices depuis le web. Mettre \u00E0 jour votre navigateur (ou changer de navigateur) pourrait am\u00E9liorer la qualit\u00E9 des math\u00E9matiques sur cette page.",fonts:"MathJax peut utiliser soit les [polices STIX](%1) soit les [polices TeX MathJax](%2). T\u00E9l\u00E9chargez et installez une de ces polices pour am\u00E9liorer votre exp\u00E9rience avec MathJax.",STIXPage:"Cette page est con\u00E7ue pour utiliser les [polices STIX](%1). T\u00E9l\u00E9chargez et installez ces polices pour am\u00E9liorer votre exp\u00E9rience avec MathJax.",TeXPage:"Cette page est con\u00E7ue pour utiliser les [polices TeX MathJax](%1). T\u00E9l\u00E9chargez et installez ces polices pour am\u00E9liorer votre exp\u00E9rience avec MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/FontWarnings.js");
diff --git a/localization/fr/HTML-CSS.js b/localization/fr/HTML-CSS.js
index 742af85a07..d35b4a3a2c 100644
--- a/localization/fr/HTML-CSS.js
+++ b/localization/fr/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fr/HTML-CSS.js
+ *  /MathJax-v2/localization/fr/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"T\u00E9l\u00E9chargement de la police web %1",CantLoadWebFont:"Impossible de t\u00E9l\u00E9charger la police web %1",FirefoxCantLoadWebFont:"Firefox ne peut pas charger les polices web depuis un h\u00F4te distant",CantFindFontUsing:"Impossible de trouver une police valide en utilisant %1",WebFontsNotAvailable:"Polices web non disponibles. Les polices image seront utilis\u00E9es \u00E0 la place"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/HTML-CSS.js");
+MathJax.Localization.addTranslation("fr","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"T\u00E9l\u00E9chargement de la police web %1",CantLoadWebFont:"Impossible de t\u00E9l\u00E9charger la police web %1",FirefoxCantLoadWebFont:"Firefox ne peut pas charger les polices web depuis un h\u00F4te distant",CantFindFontUsing:"Impossible de trouver une police valide en utilisant %1",WebFontsNotAvailable:"Polices web non disponibles. Les polices image seront utilis\u00E9es \u00E0 la place"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/HTML-CSS.js");
diff --git a/localization/fr/HelpDialog.js b/localization/fr/HelpDialog.js
index ca1eaa6b22..a1d735645e 100644
--- a/localization/fr/HelpDialog.js
+++ b/localization/fr/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fr/HelpDialog.js
+ *  /MathJax-v2/localization/fr/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Aide MathJax",MathJax:"*MathJax* est une biblioth\u00E8que JavaScript qui permet aux auteurs de pages d\u2019inclure des math\u00E9matiques dans leurs pages web. En tant que lecteur, vous n\u2019avez rien besoin de faire pour que cela fonctionne.",Browsers:"*Navigateurs*: MathJax fonctionne avec tous les navigateurs modernes y compris Internet Explorer 6, Firefox 3, Chrome 0.2, Safari 2, Opera 9.6 et leurs versions sup\u00E9rieures ainsi que la plupart des navigateurs pour mobiles et tablettes.",Menu:"*Menu math*: MathJax ajoute un menu contextuel aux \u00E9quations. Cliquez-droit ou Ctrl-cliquez sur n\u2019importe quelle formule math\u00E9matique pour acc\u00E9der au menu.",ShowMath:"*Afficher les maths comme* vous permet d\u2019afficher le balisage source de la formule pour copier-coller (comme MathML ou dans son format d\u2019origine).",Settings:"*Param\u00E8tres* vous donne le contr\u00F4le sur les fonctionnalit\u00E9s de MathJax, comme la taille des math\u00E9matiques, et le m\u00E9canisme utilis\u00E9 pour afficher les \u00E9quations.",Language:"*Langue* vous laisse s\u00E9lectionner la langue utilis\u00E9e par MathJax pour ses menus et ses messages d\u2019avertissement.",Zoom:"*Zoom des maths*: Si vous avez des difficult\u00E9s \u00E0 lire une \u00E9quation, MathJax peut l\u2019agrandir pour vous aider \u00E0 mieux la voir.",Accessibilty:"*Accessibilit\u00E9*: MathJax travaillera automatiquement avec les lecteurs d\u2019\u00E9cran pour rendre les math\u00E9matiques accessibles aux malvoyants.",Fonts:"*Polices*: MathJax utilisera certaines polices math\u00E9matiques si elles sont install\u00E9es sur votre ordinateur\u202F; sinon, il utilisera les polices trouv\u00E9es sur le web. Bien que ce ne soit pas obligatoire, des polices install\u00E9es localement acc\u00E9l\u00E9reront la composition. Nous vous sugg\u00E9rons d\u2019installer les [polices STIX](%1).",CloseDialog:"Fermer la bo\u00EEte de dialogue d\u2019aide"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/HelpDialog.js");
+MathJax.Localization.addTranslation("fr","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Aide MathJax",MathJax:"*MathJax* est une biblioth\u00E8que JavaScript qui permet aux auteurs de pages d\u2019inclure des math\u00E9matiques dans leurs pages web. En tant que lecteur, vous n\u2019avez rien besoin de faire pour que cela fonctionne.",Browsers:"*Navigateurs*: MathJax fonctionne avec tous les navigateurs modernes y compris Internet Explorer 6, Firefox 3, Chrome 0.2, Safari 2, Opera 9.6 et leurs versions sup\u00E9rieures ainsi que la plupart des navigateurs pour mobiles et tablettes.",Menu:"*Menu math*: MathJax ajoute un menu contextuel aux \u00E9quations. Cliquez-droit ou Ctrl-cliquez sur n\u2019importe quelle formule math\u00E9matique pour acc\u00E9der au menu.",ShowMath:"*Afficher les maths comme* vous permet d\u2019afficher le balisage source de la formule pour copier-coller (comme MathML ou dans son format d\u2019origine).",Settings:"*Param\u00E8tres* vous donne le contr\u00F4le sur les fonctionnalit\u00E9s de MathJax, comme la taille des math\u00E9matiques, et le m\u00E9canisme utilis\u00E9 pour afficher les \u00E9quations.",Language:"*Langue* vous laisse s\u00E9lectionner la langue utilis\u00E9e par MathJax pour ses menus et ses messages d\u2019avertissement.",Zoom:"*Zoom des maths*: Si vous avez des difficult\u00E9s \u00E0 lire une \u00E9quation, MathJax peut l\u2019agrandir pour vous aider \u00E0 mieux la voir.",Accessibilty:"*Accessibilit\u00E9*: MathJax travaillera automatiquement avec les lecteurs d\u2019\u00E9cran pour rendre les math\u00E9matiques accessibles aux malvoyants.",Fonts:"*Polices*: MathJax utilisera certaines polices math\u00E9matiques si elles sont install\u00E9es sur votre ordinateur\u202F; sinon, il utilisera les polices trouv\u00E9es sur le web. Bien que ce ne soit pas obligatoire, des polices install\u00E9es localement acc\u00E9l\u00E9reront la composition. Nous vous sugg\u00E9rons d\u2019installer les [polices STIX](%1).",CloseDialog:"Fermer la bo\u00EEte de dialogue d\u2019aide"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/HelpDialog.js");
diff --git a/localization/fr/MathML.js b/localization/fr/MathML.js
index 6a4880ce40..d3ebe88783 100644
--- a/localization/fr/MathML.js
+++ b/localization/fr/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fr/MathML.js
+ *  /MathJax-v2/localization/fr/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u00C9lement mglyph incorrect: %1",BadMglyphFont:"Police non valide : %1",MathPlayer:"MathJax n\u2019a pas pu configurer MathPlayer.\n\nSi MathPlayer n\u2019est pas install\u00E9, vous devez d\u2019abord le faire.\nSinon, il se peut que vos param\u00E8tres de s\u00E9curit\u00E9 emp\u00EAchent l\u2019ex\u00E9cution des contr\u00F4les ActiveX. Utilisez l\u2019entr\u00E9e Options Internet sous le menu Outils et s\u00E9lectionnez l\u2019onglet S\u00E9curit\u00E9, puis cliquez le bouton \u00AB Personnaliser le niveau \u00BB. V\u00E9rifiez que les param\u00E8tres pour 'Ex\u00E9cuter les contr\u00F4les ActiveX', et 'Comportement de fichiers binaires et des scripts' sont activ\u00E9s.\n\nPour le moment, vous verrez des messages d\u2019erreur au lieu de textes math\u00E9matiques.",CantCreateXMLParser:"MathJax ne peut pas cr\u00E9er un analyseur XML pour MathML. V\u00E9rifiez que l\u2019option de s\u00E9curit\u00E9 'Contr\u00F4les ActiveX reconnus s\u00FBrs pour l\u2019\u00E9criture de scripts' est activ\u00E9e (utilisez l\u2019entr\u00E9e Options Internet dans le menu Outils, et s\u00E9lectionnez l\u2019onglet S\u00E9curit\u00E9, puis appuyez sur le bouton Personnaliser le niveau, pour le v\u00E9rifier).",UnknownNodeType:"Type de n\u0153ud inconnu : %1",UnexpectedTextNode:"N\u0153ud de texte inattendu : %1",ErrorParsingMathML:"Erreur lors de l\u2019analyse de MathML",ParsingError:"Erreur d\u2019analyse de MathML : %1",MathMLSingleElement:"MathML doit \u00EAtre form\u00E9 d\u2019un unique \u00E9l\u00E9ment",MathMLRootElement:"MathML doit \u00EAtre form\u00E9 d\u2019un \u00E9l\u00E9ment \u003Cmath\u003E, et pas %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/MathML.js");
+MathJax.Localization.addTranslation("fr","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"\u00C9lement mglyph incorrect: %1",BadMglyphFont:"Police non valide : %1",MathPlayer:"MathJax n\u2019a pas pu configurer MathPlayer.\n\nSi MathPlayer n\u2019est pas install\u00E9, vous devez d\u2019abord le faire.\nSinon, il se peut que vos param\u00E8tres de s\u00E9curit\u00E9 emp\u00EAchent l\u2019ex\u00E9cution des contr\u00F4les ActiveX. Utilisez l\u2019entr\u00E9e Options Internet sous le menu Outils et s\u00E9lectionnez l\u2019onglet S\u00E9curit\u00E9, puis cliquez le bouton \u00AB Personnaliser le niveau \u00BB. V\u00E9rifiez que les param\u00E8tres pour 'Ex\u00E9cuter les contr\u00F4les ActiveX', et 'Comportement de fichiers binaires et des scripts' sont activ\u00E9s.\n\nPour le moment, vous verrez des messages d\u2019erreur au lieu de textes math\u00E9matiques.",CantCreateXMLParser:"MathJax ne peut pas cr\u00E9er un analyseur XML pour MathML. V\u00E9rifiez que l\u2019option de s\u00E9curit\u00E9 'Contr\u00F4les ActiveX reconnus s\u00FBrs pour l\u2019\u00E9criture de scripts' est activ\u00E9e (utilisez l\u2019entr\u00E9e Options Internet dans le menu Outils, et s\u00E9lectionnez l\u2019onglet S\u00E9curit\u00E9, puis appuyez sur le bouton Personnaliser le niveau, pour le v\u00E9rifier).",UnknownNodeType:"Type de n\u0153ud inconnu : %1",UnexpectedTextNode:"N\u0153ud de texte inattendu : %1",ErrorParsingMathML:"Erreur lors de l\u2019analyse de MathML",ParsingError:"Erreur d\u2019analyse de MathML : %1",MathMLSingleElement:"MathML doit \u00EAtre form\u00E9 d\u2019un unique \u00E9l\u00E9ment",MathMLRootElement:"MathML doit \u00EAtre form\u00E9 d\u2019un \u00E9l\u00E9ment \u003Cmath\u003E, et pas %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/MathML.js");
diff --git a/localization/fr/MathMenu.js b/localization/fr/MathMenu.js
index db12b60d68..0e892025c8 100644
--- a/localization/fr/MathMenu.js
+++ b/localization/fr/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fr/MathMenu.js
+ *  /MathJax-v2/localization/fr/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Afficher sous forme",MathMLcode:"Code MathML",OriginalMathML:"MathML d\u2019origine",TeXCommands:"Commandes TeX",AsciiMathInput:"Entr\u00E9e AsciiMathML",Original:"Format d\u2019origine",ErrorMessage:"Message d\u2019erreur",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML de contenu",OpenMath:"OpenMath",texHints:"Afficher les aides TeX en MathML",Settings:"Param\u00E9trages des maths",ZoomTrigger:"D\u00E9clencheur de zoom",Hover:"Survol",Click:"Clic",DoubleClick:"Double-clic",NoZoom:"Pas de zoom",TriggerRequires:"Le d\u00E9clencheur n\u00E9cessite :",Option:"Option",Alt:"Alt",Command:"Commande",Control:"Contr\u00F4le",Shift:"Maj",ZoomFactor:"Facteur de grossissement d'\u00E9chelle",Renderer:"Outil de rendu math\u00E9matique",MPHandles:"Laisser MathPlayer g\u00E9rer :",MenuEvents:"\u00C9v\u00E9nements de menu",MouseEvents:"\u00C9v\u00E9nements de souris",MenuAndMouse:"\u00C9v\u00E9nements de souris et de menu",FontPrefs:"Pr\u00E9f\u00E9rences de police",ForHTMLCSS:"Pour HTML-CSS :",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (image)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu contextuel",Browser:"Navigateur",Scale:"Mettre tous les maths \u00E0 l\u2019\u00E9chelle\u2026",Discoverable:"Surligner au survol",Locale:"Langue",LoadLocale:"Charger depuis l\u2019URL\u2026",About:"\u00C0 propos de MathJax",Help:"Aide de MathJax",localTeXfonts:"utiliser les polices TeX locales",webTeXfonts:"utiliser les polices TeX du web",imagefonts:"utiliser les polices Image",localSTIXfonts:"utiliser les polices STIX locales",webSVGfonts:"utiliser les polices SVG  du web",genericfonts:"utiliser les polices Unicode g\u00E9n\u00E9riques",wofforotffonts:"polices WOFF ou OTF",eotffonts:"polices EOT",svgfonts:"polices SVG",WebkitNativeMMLWarning:"Votre navigateur ne semble pas prendre en charge MathML en natif, donc basculer sur MathML en sortie pourrait rendre les math\u00E9matiques illisibles sur cette page.",MSIENativeMMLWarning:"Internet Explorer n\u00E9cessite le module MathPlayer pour traiter les sorties MathML.",OperaNativeMMLWarning:"La prise en charge de MathML par Opera est limit\u00E9e, donc passer sur du MathML en sortie pourrait rendre certaines expressions peu lisibles.",SafariNativeMMLWarning:"Le MathML natif de votre navigateur n\u2019impl\u00E9mente pas toutes les fonctionnalit\u00E9s utilis\u00E9s par MathJax, donc certaines expressions pourraient ne pas \u00EAtre affich\u00E9es correctement.",FirefoxNativeMMLWarning:"Le MathML natif de votre navigateur n\u2019impl\u00E9mente pas toutes les fonctionnalit\u00E9s de MathJax, donc certaines expressions pourraient \u00EAtre mal affich\u00E9es.",MSIESVGWarning:"SVG n\u2019est pas pris en charge par Internet Explorer avant la version 9 (ni dans l\u2019\u00E9mulation de IE8 ou inf\u00E9rieur, par cons\u00E9quent). Basculer sur SVG en sortie pourrait faire que les math\u00E9matiques s\u2019affichent mal.",LoadURL:"Charger les donn\u00E9es de traduction depuis cette URL :",BadURL:"L\u2019URL devrait \u00EAtre un fichier JavaScript qui d\u00E9finit les donn\u00E9es de traduction de MathJax. Les noms de fichier JavaScript devraient se terminer par '.js'",BadData:"\u00C9chec du chargement des donn\u00E9es de traduction depuis %1",SwitchAnyway:"Basculer tout de m\u00EAme le rendu\u202F?\n\n(Cliquez OK pour basculer, ANNULER pour continuer avec le rendu actuel)",ScaleMath:"Mettre \u00E0 l\u2019\u00E9chelle toutes les math\u00E9matiques (par rapport au texte environnant) de",NonZeroScale:"L\u2019\u00E9chelle ne devrait pas \u00EAtre z\u00E9ro",PercentScale:"L\u2019\u00E9chelle devrait \u00EAtre un pourcentage (par exemple, 120%%)",IE8warning:"Cela d\u00E9sactivera le menu MathJax et les fonctionnalit\u00E9s de zoom, mais \u00E0 la place, vous pouvez Alt-cliquer sur une expression pour obtenir le menu MathJax.",IE9warning:"Le menu contextuel MathJax sera d\u00E9sactiv\u00E9, mais \u00E0 la place, vous pouvez Alt-cliquer sur une expression pour obtenir le menu MathJax.",NoOriginalForm:"Aucun format d\u2019origine disponible",Close:"Fermer",EqSource:"Source de l\u2019\u00E9quation MathJax",CloseAboutDialog:"Fermer la bo\u00EEte de dialogue \u00C0 propos de MathJax",FastPreview:"Aper\u00E7u rapide",AssistiveMML:"MathML auxiliaire",InTabOrder:"Inclure dans l\u2019ordre des onglets"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/MathMenu.js");
+MathJax.Localization.addTranslation("fr","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Afficher sous forme",MathMLcode:"Code MathML",OriginalMathML:"MathML d\u2019origine",TeXCommands:"Commandes TeX",AsciiMathInput:"Entr\u00E9e AsciiMathML",Original:"Format d\u2019origine",ErrorMessage:"Message d\u2019erreur",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML de contenu",OpenMath:"OpenMath",texHints:"Afficher les aides TeX en MathML",Settings:"Param\u00E9trages des maths",ZoomTrigger:"D\u00E9clencheur de zoom",Hover:"Survol",Click:"Clic",DoubleClick:"Double-clic",NoZoom:"Pas de zoom",TriggerRequires:"Le d\u00E9clencheur n\u00E9cessite :",Option:"Option",Alt:"Alt",Command:"Commande",Control:"Contr\u00F4le",Shift:"Maj",ZoomFactor:"Facteur de grossissement d'\u00E9chelle",Renderer:"Outil de rendu math\u00E9matique",MPHandles:"Laisser MathPlayer g\u00E9rer :",MenuEvents:"\u00C9v\u00E9nements de menu",MouseEvents:"\u00C9v\u00E9nements de souris",MenuAndMouse:"\u00C9v\u00E9nements de souris et de menu",FontPrefs:"Pr\u00E9f\u00E9rences de police",ForHTMLCSS:"Pour HTML-CSS :",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (image)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu contextuel",Browser:"Navigateur",Scale:"Mettre tous les maths \u00E0 l\u2019\u00E9chelle\u2026",Discoverable:"Surligner au survol",Locale:"Langue",LoadLocale:"Charger depuis l\u2019URL\u2026",About:"\u00C0 propos de MathJax",Help:"Aide de MathJax",localTeXfonts:"utiliser les polices TeX locales",webTeXfonts:"utiliser les polices TeX du web",imagefonts:"utiliser les polices Image",localSTIXfonts:"utiliser les polices STIX locales",webSVGfonts:"utiliser les polices SVG  du web",genericfonts:"utiliser les polices Unicode g\u00E9n\u00E9riques",wofforotffonts:"polices WOFF ou OTF",eotffonts:"polices EOT",svgfonts:"polices SVG",WebkitNativeMMLWarning:"Votre navigateur ne semble pas prendre en charge MathML en natif, donc basculer sur MathML en sortie pourrait rendre les math\u00E9matiques illisibles sur cette page.",MSIENativeMMLWarning:"Internet Explorer n\u00E9cessite le module MathPlayer pour traiter les sorties MathML.",OperaNativeMMLWarning:"La prise en charge de MathML par Opera est limit\u00E9e, donc passer sur du MathML en sortie pourrait rendre certaines expressions peu lisibles.",SafariNativeMMLWarning:"Le MathML natif de votre navigateur n\u2019impl\u00E9mente pas toutes les fonctionnalit\u00E9s utilis\u00E9s par MathJax, donc certaines expressions pourraient ne pas \u00EAtre affich\u00E9es correctement.",FirefoxNativeMMLWarning:"Le MathML natif de votre navigateur n\u2019impl\u00E9mente pas toutes les fonctionnalit\u00E9s de MathJax, donc certaines expressions pourraient \u00EAtre mal affich\u00E9es.",MSIESVGWarning:"SVG n\u2019est pas pris en charge par Internet Explorer avant la version 9 (ni dans l\u2019\u00E9mulation de IE8 ou inf\u00E9rieur, par cons\u00E9quent). Basculer sur SVG en sortie pourrait faire que les math\u00E9matiques s\u2019affichent mal.",LoadURL:"Charger les donn\u00E9es de traduction depuis cette URL :",BadURL:"L\u2019URL devrait \u00EAtre un fichier JavaScript qui d\u00E9finit les donn\u00E9es de traduction de MathJax. Les noms de fichier JavaScript devraient se terminer par '.js'",BadData:"\u00C9chec du chargement des donn\u00E9es de traduction depuis %1",SwitchAnyway:"Basculer tout de m\u00EAme le rendu\u202F?\n\n(Cliquez OK pour basculer, ANNULER pour continuer avec le rendu actuel)",ScaleMath:"Mettre \u00E0 l\u2019\u00E9chelle toutes les math\u00E9matiques (par rapport au texte environnant) de",NonZeroScale:"L\u2019\u00E9chelle ne devrait pas \u00EAtre z\u00E9ro",PercentScale:"L\u2019\u00E9chelle devrait \u00EAtre un pourcentage (par exemple, 120%%)",IE8warning:"Cela d\u00E9sactivera le menu MathJax et les fonctionnalit\u00E9s de zoom, mais \u00E0 la place, vous pouvez Alt-cliquer sur une expression pour obtenir le menu MathJax.",IE9warning:"Le menu contextuel MathJax sera d\u00E9sactiv\u00E9, mais \u00E0 la place, vous pouvez Alt-cliquer sur une expression pour obtenir le menu MathJax.",NoOriginalForm:"Aucun format d\u2019origine disponible",Close:"Fermer",EqSource:"Source de l\u2019\u00E9quation MathJax",CloseAboutDialog:"Fermer la bo\u00EEte de dialogue \u00C0 propos de MathJax",FastPreview:"Aper\u00E7u rapide",AssistiveMML:"MathML auxiliaire",InTabOrder:"Inclure dans l\u2019ordre des onglets"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/MathMenu.js");
diff --git a/localization/fr/TeX.js b/localization/fr/TeX.js
index 42694a3f24..31c8444206 100644
--- a/localization/fr/TeX.js
+++ b/localization/fr/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fr/TeX.js
+ *  /MathJax-v2/localization/fr/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Accolade ouvrante superflue ou accolade fermante manquante",ExtraCloseMissingOpen:"Accolade fermante superflue ou accolade ouvrante manquante",MissingLeftExtraRight:"Commande \\left manquante ou commande \\right superflue",MissingScript:"Argument en exposant ou en indice manquant",ExtraLeftMissingRight:"Commande \\left superflue ou commande \\right manquante",Misplaced:"Mauvaise position pour la commande %1",MissingOpenForSub:"Accolade ouvrante manquante pour le script en indice",MissingOpenForSup:"Accolade ouvrante manquante pour le script en exposant",AmbiguousUseOf:"Usage ambigu de la commande %1",EnvBadEnd:"\\begin{%1} s'est termin\u00E9 par un \\end{%2}",EnvMissingEnd:"\\end{%1} manquant",MissingBoxFor:"Boite manquante pour la commande %1",MissingCloseBrace:"Accolade fermante manquante",UndefinedControlSequence:"S\u00E9quence de contr\u00F4le %1 non d\u00E9finie",DoubleExponent:"Double exposant : utilisez des accolades pour clarifier",DoubleSubscripts:"Double indice : utilisez des accolades pour clarifier",DoubleExponentPrime:"Un prime entra\u00EEne un double exposant : utilisez des accolades pour clarifier",CantUseHash1:"Vous ne pouvez pas utilisez le caract\u00E8re #, indiquant un param\u00E8tre de macro, dans le mode math\u00E9matique",MisplacedMiddle:"La commande %1 doit \u00EAtre plac\u00E9e \u00E0 l\u2019int\u00E9rieur d\u2019une section \\left ... \\right",MisplacedLimits:"La commande %1 n'est autoris\u00E9e que sur les op\u00E9rateurs",MisplacedMoveRoot:"La commande %1 n'est autoris\u00E9e qu'\u00E0 l'int\u00E9rieur d'une racine",MultipleCommand:"Usage multiple de la commande %1",IntegerArg:"L\u2019argument de la commande %1 doit \u00EAtre un entier",NotMathMLToken:"L'\u00E9l\u00E9ment %1 n'est pas un \u00E9l\u00E9ment MathML \u00E9l\u00E9mentaire",InvalidMathMLAttr:"Attribut MathML non valide: %1",UnknownAttrForElement:"Attribut %1 inconnu pour l'\u00E9l\u00E9ment %2",MaxMacroSub1:"Le nombre maximal de substitutions de macro autoris\u00E9 par MathJax a \u00E9t\u00E9 d\u00E9pass\u00E9. Y a-t-il un appel de macro r\u00E9cursif?",MaxMacroSub2:"Le nombre maximal de substitutions de macros autoris\u00E9 par MathJax a \u00E9t\u00E9 d\u00E9pass\u00E9. Y a-t-il un environnement LaTeX r\u00E9cursif\u202F?",MissingArgFor:"Argument manquant pour la commande %1",ExtraAlignTab:"Caract\u00E8re d'alignement '\u0026' inattendu pour le texte de la commande \\cases",BracketMustBeDimension:"L'argument entre crochets de la commande %1 doit \u00EAtre une dimension",InvalidEnv:"Nom d'environnement '%1' non valide",UnknownEnv:"Environnement '%1' inconnu",ExtraCloseLooking:"Accolade fermante superflue lors de la recherche de %1",MissingCloseBracket:"Impossible de trouver ']' pour l'argument de la commande %1",MissingOrUnrecognizedDelim:"D\u00E9limiteur manquant ou non reconnu pour la commande %1",MissingDimOrUnits:"Dimension ou unit\u00E9s manquantes pour la commande %1",TokenNotFoundForCommand:"Impossible de trouver %1 pour la commande %2",MathNotTerminated:"Expression math\u00E9matique non termin\u00E9e \u00E0 l'int\u00E9rieur de la boite de texte",IllegalMacroParam:"Param\u00E8tre de r\u00E9f\u00E9rence de macro non autoris\u00E9",MaxBufferSize:"Taille maximale du tampon interne de MathJax d\u00E9pass\u00E9e; y a-t-il un appel de macro r\u00E9cursif ?",CommandNotAllowedInEnv:"La commande %1 n'est pas autoris\u00E9e \u00E0 l'int\u00E9rieur de l'environnement %2",MultipleLabel:"Multiple d\u00E9finition de l'\u00E9tiquette '%1'",CommandAtTheBeginingOfLine:"La commande %1 doit \u00EAtre plac\u00E9e en d\u00E9but de ligne",IllegalAlign:"Alignement non autoris\u00E9 pour la commande %1",BadMathStyleFor:"Style math\u00E9matique non valide pour la commande %1",PositiveIntegerArg:"L'argument de la commande %1 doit \u00EAtre un entier positif",ErroneousNestingEq:"Embrication incorrecte des structures d'\u00E9quations",MultlineRowsOneCol:"Les rang\u00E9es au sein de l\u2019environnement %1 doivent avoir exactement une colonne",MultipleBBoxProperty:"La propri\u00E9t\u00E9 %1 est sp\u00E9cifi\u00E9e deux fois dans la commande %2",InvalidBBoxProperty:"La valeur '%1' ne semble pas \u00EAtre une couleur, une dimension de marge int\u00E9rieure ou un style.",ExtraEndMissingBegin:"Commande %1 non attendue ou commande \\begingroup manquante",GlobalNotFollowedBy:"Commande %1 non suivie d\u2019une commande \\let, \\def ou \\newcommand",UndefinedColorModel:"Le mod\u00E8le de couleur '%1' n'est pas d\u00E9fini",ModelArg1:"Les valeurs de couleurs pour le mod\u00E8le %1 n\u00E9cessitent 3 nombres",InvalidDecimalNumber:"Nombre d\u00E9cimal non valide",ModelArg2:"Les valeurs de couleurs pour le mod\u00E8le %1 doivent \u00EAtre comprises entre %2 et %3",InvalidNumber:"Nombre non valide",NewextarrowArg1:"Le premier argument de la commande %1 doit \u00EAtre le nom d'une s\u00E9quence de contr\u00F4le",NewextarrowArg2:"Le second argument de la commande %1 doit \u00EAtre deux entiers s\u00E9par\u00E9s par une virgule",NewextarrowArg3:"Le troisi\u00E8me argument de la commande %1 doit \u00EAtre la valeur d\u2019un caract\u00E8re unicode",NoClosingChar:"Impossible de trouver le d\u00E9limiteur '%1' fermant",IllegalControlSequenceName:"Nom de contr\u00F4le de s\u00E9quence non autoris\u00E9 pour la commande %1",IllegalParamNumber:"Nombre de param\u00E8tres incorrect pour la commande %1",MissingCS:"%1 doit \u00EAtre suivi d'une s\u00E9quence de contr\u00F4le",CantUseHash2:"Usage du caract\u00E8re # non autoris\u00E9 dans le mod\u00E8le pour la s\u00E9quence de contr\u00F4le %1",SequentialParam:"Les param\u00E8tres de la s\u00E9quence de contr\u00F4le %1 doivent \u00EAtre \u00E9num\u00E9r\u00E9s de fa\u00E7on s\u00E9quentielle",MissingReplacementString:"Texte de remplacement manquant pour la d\u00E9finition %1",MismatchUseDef:"L\u2019utilisation de la commande %1 ne correspond pas \u00E0 sa d\u00E9finition",RunawayArgument:"Argument non termin\u00E9 pour la commande %1?",NoClosingDelim:"Impossible de trouver le d\u00E9limiteur fermant pour la commande %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/TeX.js");
+MathJax.Localization.addTranslation("fr","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Accolade ouvrante superflue ou accolade fermante manquante",ExtraCloseMissingOpen:"Accolade fermante superflue ou accolade ouvrante manquante",MissingLeftExtraRight:"Commande \\left manquante ou commande \\right superflue",MissingScript:"Argument en exposant ou en indice manquant",ExtraLeftMissingRight:"Commande \\left superflue ou commande \\right manquante",Misplaced:"Mauvaise position pour la commande %1",MissingOpenForSub:"Accolade ouvrante manquante pour le script en indice",MissingOpenForSup:"Accolade ouvrante manquante pour le script en exposant",AmbiguousUseOf:"Usage ambigu de la commande %1",EnvBadEnd:"\\begin{%1} s'est termin\u00E9 par un \\end{%2}",EnvMissingEnd:"\\end{%1} manquant",MissingBoxFor:"Boite manquante pour la commande %1",MissingCloseBrace:"Accolade fermante manquante",UndefinedControlSequence:"S\u00E9quence de contr\u00F4le %1 non d\u00E9finie",DoubleExponent:"Double exposant : utilisez des accolades pour clarifier",DoubleSubscripts:"Double indice : utilisez des accolades pour clarifier",DoubleExponentPrime:"Un prime entra\u00EEne un double exposant : utilisez des accolades pour clarifier",CantUseHash1:"Vous ne pouvez pas utilisez le caract\u00E8re #, indiquant un param\u00E8tre de macro, dans le mode math\u00E9matique",MisplacedMiddle:"La commande %1 doit \u00EAtre plac\u00E9e \u00E0 l\u2019int\u00E9rieur d\u2019une section \\left ... \\right",MisplacedLimits:"La commande %1 n'est autoris\u00E9e que sur les op\u00E9rateurs",MisplacedMoveRoot:"La commande %1 n'est autoris\u00E9e qu'\u00E0 l'int\u00E9rieur d'une racine",MultipleCommand:"Usage multiple de la commande %1",IntegerArg:"L\u2019argument de la commande %1 doit \u00EAtre un entier",NotMathMLToken:"L'\u00E9l\u00E9ment %1 n'est pas un \u00E9l\u00E9ment MathML \u00E9l\u00E9mentaire",InvalidMathMLAttr:"Attribut MathML non valide: %1",UnknownAttrForElement:"Attribut %1 inconnu pour l'\u00E9l\u00E9ment %2",MaxMacroSub1:"Le nombre maximal de substitutions de macro autoris\u00E9 par MathJax a \u00E9t\u00E9 d\u00E9pass\u00E9. Y a-t-il un appel de macro r\u00E9cursif?",MaxMacroSub2:"Le nombre maximal de substitutions de macros autoris\u00E9 par MathJax a \u00E9t\u00E9 d\u00E9pass\u00E9. Y a-t-il un environnement LaTeX r\u00E9cursif\u202F?",MissingArgFor:"Argument manquant pour la commande %1",ExtraAlignTab:"Caract\u00E8re d'alignement '\u0026' inattendu pour le texte de la commande \\cases",BracketMustBeDimension:"L'argument entre crochets de la commande %1 doit \u00EAtre une dimension",InvalidEnv:"Nom d'environnement '%1' non valide",UnknownEnv:"Environnement '%1' inconnu",ExtraCloseLooking:"Accolade fermante superflue lors de la recherche de %1",MissingCloseBracket:"Impossible de trouver ']' pour l'argument de la commande %1",MissingOrUnrecognizedDelim:"D\u00E9limiteur manquant ou non reconnu pour la commande %1",MissingDimOrUnits:"Dimension ou unit\u00E9s manquantes pour la commande %1",TokenNotFoundForCommand:"Impossible de trouver %1 pour la commande %2",MathNotTerminated:"Expression math\u00E9matique non termin\u00E9e \u00E0 l'int\u00E9rieur de la boite de texte",IllegalMacroParam:"Param\u00E8tre de r\u00E9f\u00E9rence de macro non autoris\u00E9",MaxBufferSize:"Taille maximale du tampon interne de MathJax d\u00E9pass\u00E9e; y a-t-il un appel de macro r\u00E9cursif ?",CommandNotAllowedInEnv:"La commande %1 n'est pas autoris\u00E9e \u00E0 l'int\u00E9rieur de l'environnement %2",MultipleLabel:"Multiple d\u00E9finition de l'\u00E9tiquette '%1'",CommandAtTheBeginingOfLine:"La commande %1 doit \u00EAtre plac\u00E9e en d\u00E9but de ligne",IllegalAlign:"Alignement non autoris\u00E9 pour la commande %1",BadMathStyleFor:"Style math\u00E9matique non valide pour la commande %1",PositiveIntegerArg:"L'argument de la commande %1 doit \u00EAtre un entier positif",ErroneousNestingEq:"Embrication incorrecte des structures d'\u00E9quations",MultlineRowsOneCol:"Les rang\u00E9es au sein de l\u2019environnement %1 doivent avoir exactement une colonne",MultipleBBoxProperty:"La propri\u00E9t\u00E9 %1 est sp\u00E9cifi\u00E9e deux fois dans la commande %2",InvalidBBoxProperty:"La valeur '%1' ne semble pas \u00EAtre une couleur, une dimension de marge int\u00E9rieure ou un style.",ExtraEndMissingBegin:"Commande %1 non attendue ou commande \\begingroup manquante",GlobalNotFollowedBy:"Commande %1 non suivie d\u2019une commande \\let, \\def ou \\newcommand",UndefinedColorModel:"Le mod\u00E8le de couleur '%1' n'est pas d\u00E9fini",ModelArg1:"Les valeurs de couleurs pour le mod\u00E8le %1 n\u00E9cessitent 3 nombres",InvalidDecimalNumber:"Nombre d\u00E9cimal non valide",ModelArg2:"Les valeurs de couleurs pour le mod\u00E8le %1 doivent \u00EAtre comprises entre %2 et %3",InvalidNumber:"Nombre non valide",NewextarrowArg1:"Le premier argument de la commande %1 doit \u00EAtre le nom d'une s\u00E9quence de contr\u00F4le",NewextarrowArg2:"Le second argument de la commande %1 doit \u00EAtre deux entiers s\u00E9par\u00E9s par une virgule",NewextarrowArg3:"Le troisi\u00E8me argument de la commande %1 doit \u00EAtre la valeur d\u2019un caract\u00E8re unicode",NoClosingChar:"Impossible de trouver le d\u00E9limiteur '%1' fermant",IllegalControlSequenceName:"Nom de contr\u00F4le de s\u00E9quence non autoris\u00E9 pour la commande %1",IllegalParamNumber:"Nombre de param\u00E8tres incorrect pour la commande %1",MissingCS:"%1 doit \u00EAtre suivi d'une s\u00E9quence de contr\u00F4le",CantUseHash2:"Usage du caract\u00E8re # non autoris\u00E9 dans le mod\u00E8le pour la s\u00E9quence de contr\u00F4le %1",SequentialParam:"Les param\u00E8tres de la s\u00E9quence de contr\u00F4le %1 doivent \u00EAtre \u00E9num\u00E9r\u00E9s de fa\u00E7on s\u00E9quentielle",MissingReplacementString:"Texte de remplacement manquant pour la d\u00E9finition %1",MismatchUseDef:"L\u2019utilisation de la commande %1 ne correspond pas \u00E0 sa d\u00E9finition",RunawayArgument:"Argument non termin\u00E9 pour la commande %1?",NoClosingDelim:"Impossible de trouver le d\u00E9limiteur fermant pour la commande %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/TeX.js");
diff --git a/localization/fr/fr.js b/localization/fr/fr.js
index cc73eb369c..0cd5844116 100644
--- a/localization/fr/fr.js
+++ b/localization/fr/fr.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/fr/fr.js
+ *  /MathJax-v2/localization/fr/fr.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("fr",null,{menuTitle:"fran\u00E7ais",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax a trouv\u00E9 un t\u00E9moin (cookie) de configuration utilisateur qui inclut du code ex\u00E9cutable. Souhaitez vous l\u2019ex\u00E9cuter ?\n\n(Choisissez Annuler sauf si vous avez cr\u00E9\u00E9 ce t\u00E9moin vous-m\u00EAme.)",MathProcessingError:"Erreur de traitement de la formule math\u00E9matique",MathError:"Erreur dans la formule math\u00E9matique",LoadFile:"Chargement de %1",Loading:"Chargement",LoadFailed:"\u00C9chec du chargement de %1",ProcessMath:"Traitement des formules : %1 %%",Processing:"Traitement en cours",TypesetMath:"Composition des formules: %1%%",Typesetting:"Composition",MathJaxNotSupported:"Votre navigateur ne prend pas en charge MathJax",ErrorTips:"Conseils de d\u00E9bogage : utiliser %%1, inspecter %%2 dans la console du navigateur"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(0<=a&&a<2){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/fr.js");
+MathJax.Localization.addTranslation("fr",null,{menuTitle:"fran\u00E7ais",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax a trouv\u00E9 un t\u00E9moin (cookie) de configuration utilisateur qui inclut du code ex\u00E9cutable. Souhaitez vous l\u2019ex\u00E9cuter ?\n\n(Choisissez Annuler sauf si vous avez cr\u00E9\u00E9 ce t\u00E9moin vous-m\u00EAme.)",MathProcessingError:"Erreur de traitement de la formule math\u00E9matique",MathError:"Erreur dans la formule math\u00E9matique",LoadFile:"Chargement de %1",Loading:"Chargement",LoadFailed:"\u00C9chec du chargement de %1",ProcessMath:"Traitement des formules : %1 %%",Processing:"Traitement en cours",TypesetMath:"Composition des formules: %1%%",Typesetting:"Composition",MathJaxNotSupported:"Votre navigateur ne prend pas en charge MathJax",ErrorTips:"Conseils de d\u00E9bogage : utiliser %%1, inspecter %%2 dans la console du navigateur"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(0<=a&&a<2){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/fr/fr.js");
diff --git a/localization/gl/FontWarnings.js b/localization/gl/FontWarnings.js
index c9c32d26dd..b90c1dbea6 100644
--- a/localization/gl/FontWarnings.js
+++ b/localization/gl/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/gl/FontWarnings.js
+ *  /MathJax-v2/localization/gl/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/FontWarnings.js");
+MathJax.Localization.addTranslation("gl","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/FontWarnings.js");
diff --git a/localization/gl/HTML-CSS.js b/localization/gl/HTML-CSS.js
index 7db6b76ca9..5683076316 100644
--- a/localization/gl/HTML-CSS.js
+++ b/localization/gl/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/gl/HTML-CSS.js
+ *  /MathJax-v2/localization/gl/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Cargando o tipo de letra web %1",CantLoadWebFont:"Non se pode cargar o tipo de letra web %1",FirefoxCantLoadWebFont:"Firefox non pode cargar os tipos de letra web desde un servidor remoto",CantFindFontUsing:"Non se pode atopar un tipo de letra v\u00E1lido utilizando %1",WebFontsNotAvailable:"Os tipos de letra web non est\u00E1n dispo\u00F1ibles; use os tipos de letra de imaxe no seu lugar"}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/HTML-CSS.js");
+MathJax.Localization.addTranslation("gl","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Cargando o tipo de letra web %1",CantLoadWebFont:"Non se pode cargar o tipo de letra web %1",FirefoxCantLoadWebFont:"Firefox non pode cargar os tipos de letra web desde un servidor remoto",CantFindFontUsing:"Non se pode atopar un tipo de letra v\u00E1lido utilizando %1",WebFontsNotAvailable:"Os tipos de letra web non est\u00E1n dispo\u00F1ibles; use os tipos de letra de imaxe no seu lugar"}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/HTML-CSS.js");
diff --git a/localization/gl/HelpDialog.js b/localization/gl/HelpDialog.js
index 465928e58c..adaa922767 100644
--- a/localization/gl/HelpDialog.js
+++ b/localization/gl/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/gl/HelpDialog.js
+ *  /MathJax-v2/localization/gl/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/HelpDialog.js");
+MathJax.Localization.addTranslation("gl","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/HelpDialog.js");
diff --git a/localization/gl/MathML.js b/localization/gl/MathML.js
index 3d36919182..f69013f6b3 100644
--- a/localization/gl/MathML.js
+++ b/localization/gl/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/gl/MathML.js
+ *  /MathJax-v2/localization/gl/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/MathML.js");
+MathJax.Localization.addTranslation("gl","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/MathML.js");
diff --git a/localization/gl/MathMenu.js b/localization/gl/MathMenu.js
index 08efe149f3..0bb0b74df8 100644
--- a/localization/gl/MathMenu.js
+++ b/localization/gl/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/gl/MathMenu.js
+ *  /MathJax-v2/localization/gl/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl","MathMenu",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/MathMenu.js");
+MathJax.Localization.addTranslation("gl","MathMenu",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/MathMenu.js");
diff --git a/localization/gl/TeX.js b/localization/gl/TeX.js
index 83c57e3917..1411f48521 100644
--- a/localization/gl/TeX.js
+++ b/localization/gl/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/gl/TeX.js
+ *  /MathJax-v2/localization/gl/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/TeX.js");
+MathJax.Localization.addTranslation("gl","TeX",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/TeX.js");
diff --git a/localization/gl/gl.js b/localization/gl/gl.js
index fd208f07d7..2945acab1e 100644
--- a/localization/gl/gl.js
+++ b/localization/gl/gl.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/gl/gl.js
+ *  /MathJax-v2/localization/gl/gl.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("gl",null,{menuTitle:"galego",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:'MathJax atopou unha cookie de configuraci\u00F3n de usuario que incl\u00FAe c\u00F3digo executable. Quere executar ese c\u00F3digo?\n\n(Deber\u00EDa premer en "Cancelar", a menos que vostede crease a cookie.)',MathProcessingError:"Erro de procesamento da f\u00F3rmula matem\u00E1tica",MathError:"Erro na f\u00F3rmula matem\u00E1tica",LoadFile:'Cargando "%1"',Loading:"Cargando",LoadFailed:"Erro ao cargar o ficheiro: %1",ProcessMath:"Procesando as f\u00F3rmulas: %1%%",Processing:"Procesando",TypesetMath:"Compo\u00F1endo as f\u00F3rmulas: %1%%",Typesetting:"Compo\u00F1endo",MathJaxNotSupported:"O seu navegador non soporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/gl.js");
+MathJax.Localization.addTranslation("gl",null,{menuTitle:"galego",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:'MathJax atopou unha cookie de configuraci\u00F3n de usuario que incl\u00FAe c\u00F3digo executable. Quere executar ese c\u00F3digo?\n\n(Deber\u00EDa premer en "Cancelar", a menos que vostede crease a cookie.)',MathProcessingError:"Erro de procesamento da f\u00F3rmula matem\u00E1tica",MathError:"Erro na f\u00F3rmula matem\u00E1tica",LoadFile:'Cargando "%1"',Loading:"Cargando",LoadFailed:"Erro ao cargar o ficheiro: %1",ProcessMath:"Procesando as f\u00F3rmulas: %1%%",Processing:"Procesando",TypesetMath:"Compo\u00F1endo as f\u00F3rmulas: %1%%",Typesetting:"Compo\u00F1endo",MathJaxNotSupported:"O seu navegador non soporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/gl/gl.js");
diff --git a/localization/he/FontWarnings.js b/localization/he/FontWarnings.js
index 2801584bc2..8a6de06fb9 100644
--- a/localization/he/FontWarnings.js
+++ b/localization/he/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/he/FontWarnings.js
+ *  /MathJax-v2/localization/he/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05DB\u05D3\u05D9 \u05DC\u05D4\u05E6\u05D9\u05D2 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05D1\u05D3\u05DA \u05D4\u05D6\u05D4. \u05D6\u05D4 \u05D3\u05D5\u05E8\u05E9 \u05D6\u05DE\u05DF \u05DC\u05D4\u05D5\u05E8\u05D3\u05D4, \u05D5\u05D4\u05D3\u05E3 \u05D9\u05D5\u05E6\u05D2 \u05DE\u05D4\u05E8 \u05D9\u05D5\u05EA\u05E8 \u05D0\u05DD \u05D9\u05D5\u05EA\u05E7\u05E0\u05D5 \u05D2\u05D5\u05E4\u05E0\u05D9 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05D1\u05DE\u05E2\u05E8\u05DB\u05EA \u05E9\u05DC\u05DA.",imageFonts:"MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4 \u05D1\u05DE\u05E7\u05D5\u05DD \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA. \u05D6\u05D4 \u05E2\u05D5\u05D1\u05D3 \u05DC\u05D0\u05D8 \u05DE\u05D4\u05E8\u05D2\u05D9\u05DC, \u05D5\u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DC\u05D0 \u05D9\u05D5\u05D3\u05E4\u05E1\u05D5 \u05D1\u05D2\u05D5\u05D3\u05DC \u05D4\u05E8\u05E6\u05D5\u05D9 \u05D1\u05DE\u05D3\u05E4\u05E1\u05EA \u05E9\u05DC\u05DA.",noFonts:"MathJax \u05D0\u05D9\u05E0\u05D5 \u05DE\u05E6\u05DC\u05D9\u05D7 \u05DC\u05DE\u05E6\u05D5\u05D0 \u05D2\u05D5\u05E4\u05DF \u05DC\u05D4\u05E6\u05D2\u05EA \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA, \u05D5\u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4 \u05D0\u05D9\u05E0\u05DD \u05D6\u05DE\u05D9\u05E0\u05D9\u05DD, \u05D0\u05D6 \u05D0\u05E0\u05D7\u05E0\u05D5 \u05DE\u05E0\u05E1\u05D9\u05DD \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05EA\u05D5\u05D5\u05D9 \u05D9\u05D5\u05E0\u05D9\u05E7\u05D5\u05D3 \u05DB\u05DC\u05DC\u05D9\u05D9\u05DD \u05D1\u05EA\u05E7\u05D5\u05D5\u05D4 \u05E9\u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D9\u05E6\u05DC\u05D9\u05D7 \u05DC\u05D4\u05E6\u05D9\u05D2 \u05D0\u05D5\u05EA\u05DD \u05E0\u05DB\u05D5\u05DF. \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D7\u05DC\u05E7 \u05DE\u05D4\u05EA\u05D5\u05D5\u05D9\u05DD \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05DB\u05E8\u05D0\u05D5\u05D9 \u05D0\u05D5 \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05D1\u05DB\u05DC\u05DC.",webFonts:"\u05E8\u05D5\u05D1 \u05D4\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD \u05D4\u05DE\u05D5\u05D3\u05E8\u05E0\u05D9\u05D9\u05DD \u05DE\u05D0\u05E4\u05E9\u05E8\u05D9\u05DD \u05D4\u05D5\u05E8\u05D3\u05EA \u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05DE\u05D4\u05E8\u05E9\u05EA. \u05E2\u05D3\u05DB\u05D5\u05DF \u05DC\u05D2\u05E8\u05E1\u05D4 \u05D7\u05D3\u05E9\u05D4 \u05D9\u05D5\u05EA\u05E8 \u05E9\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D0\u05D5 \u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1\u05D3\u05E4\u05D3\u05E4\u05DF \u05D0\u05D7\u05E8 \u05D9\u05DB\u05D5\u05DC\u05D9\u05DD \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D0\u05D9\u05DB\u05D5\u05EA \u05D4\u05E6\u05D2\u05EA \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05D3\u05E3 \u05D4\u05D6\u05D4.",fonts:"MathJax \u05D9\u05DB\u05D5\u05DC \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 STIX](%1) \u05D0\u05D5 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05E9\u05DC MathJax](%2). \u05D0\u05E0\u05D7\u05E0\u05D5 \u05DE\u05DE\u05DC\u05D9\u05E6\u05D9\u05DD \u05DC\u05D4\u05D5\u05E8\u05D9\u05D3 \u05D0\u05D7\u05D3 \u05DE\u05D4\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05D4\u05D0\u05DC\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D7\u05D5\u05D5\u05D9\u05D9\u05EA \u05D4\u05BEMathJax \u05E9\u05DC\u05DA.",STIXPage:"\u05D4\u05D3\u05E3 \u05D4\u05D6\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DD \u05DC\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 STIX](%1). \u05DE\u05D5\u05DE\u05DC\u05E5 \u05DC\u05D4\u05D5\u05E8\u05D9\u05D3 \u05D5\u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05EA \u05D4\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05D4\u05D0\u05DC\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D7\u05D5\u05D5\u05D9\u05D9\u05EA \u05D4\u05BEMathJax \u05E9\u05DC\u05DA.",TeXPage:"\u05D4\u05D3\u05E3 \u05D4\u05D6\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DD \u05DC\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05E9\u05DC MathJax](%1). \u05DE\u05D5\u05DE\u05DC\u05E5 \u05DC\u05D4\u05D5\u05E8\u05D9\u05D3 \u05D5\u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05EA \u05D4\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05D4\u05D0\u05DC\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D7\u05D5\u05D5\u05D9\u05D9\u05EA \u05D4\u05BEMathJax \u05E9\u05DC\u05DA."}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/FontWarnings.js");
+MathJax.Localization.addTranslation("he","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05DB\u05D3\u05D9 \u05DC\u05D4\u05E6\u05D9\u05D2 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05D1\u05D3\u05DA \u05D4\u05D6\u05D4. \u05D6\u05D4 \u05D3\u05D5\u05E8\u05E9 \u05D6\u05DE\u05DF \u05DC\u05D4\u05D5\u05E8\u05D3\u05D4, \u05D5\u05D4\u05D3\u05E3 \u05D9\u05D5\u05E6\u05D2 \u05DE\u05D4\u05E8 \u05D9\u05D5\u05EA\u05E8 \u05D0\u05DD \u05D9\u05D5\u05EA\u05E7\u05E0\u05D5 \u05D2\u05D5\u05E4\u05E0\u05D9 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05D1\u05DE\u05E2\u05E8\u05DB\u05EA \u05E9\u05DC\u05DA.",imageFonts:"MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4 \u05D1\u05DE\u05E7\u05D5\u05DD \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA. \u05D6\u05D4 \u05E2\u05D5\u05D1\u05D3 \u05DC\u05D0\u05D8 \u05DE\u05D4\u05E8\u05D2\u05D9\u05DC, \u05D5\u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DC\u05D0 \u05D9\u05D5\u05D3\u05E4\u05E1\u05D5 \u05D1\u05D2\u05D5\u05D3\u05DC \u05D4\u05E8\u05E6\u05D5\u05D9 \u05D1\u05DE\u05D3\u05E4\u05E1\u05EA \u05E9\u05DC\u05DA.",noFonts:"MathJax \u05D0\u05D9\u05E0\u05D5 \u05DE\u05E6\u05DC\u05D9\u05D7 \u05DC\u05DE\u05E6\u05D5\u05D0 \u05D2\u05D5\u05E4\u05DF \u05DC\u05D4\u05E6\u05D2\u05EA \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA, \u05D5\u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4 \u05D0\u05D9\u05E0\u05DD \u05D6\u05DE\u05D9\u05E0\u05D9\u05DD, \u05D0\u05D6 \u05D0\u05E0\u05D7\u05E0\u05D5 \u05DE\u05E0\u05E1\u05D9\u05DD \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05EA\u05D5\u05D5\u05D9 \u05D9\u05D5\u05E0\u05D9\u05E7\u05D5\u05D3 \u05DB\u05DC\u05DC\u05D9\u05D9\u05DD \u05D1\u05EA\u05E7\u05D5\u05D5\u05D4 \u05E9\u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D9\u05E6\u05DC\u05D9\u05D7 \u05DC\u05D4\u05E6\u05D9\u05D2 \u05D0\u05D5\u05EA\u05DD \u05E0\u05DB\u05D5\u05DF. \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D7\u05DC\u05E7 \u05DE\u05D4\u05EA\u05D5\u05D5\u05D9\u05DD \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05DB\u05E8\u05D0\u05D5\u05D9 \u05D0\u05D5 \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05D1\u05DB\u05DC\u05DC.",webFonts:"\u05E8\u05D5\u05D1 \u05D4\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD \u05D4\u05DE\u05D5\u05D3\u05E8\u05E0\u05D9\u05D9\u05DD \u05DE\u05D0\u05E4\u05E9\u05E8\u05D9\u05DD \u05D4\u05D5\u05E8\u05D3\u05EA \u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05DE\u05D4\u05E8\u05E9\u05EA. \u05E2\u05D3\u05DB\u05D5\u05DF \u05DC\u05D2\u05E8\u05E1\u05D4 \u05D7\u05D3\u05E9\u05D4 \u05D9\u05D5\u05EA\u05E8 \u05E9\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D0\u05D5 \u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1\u05D3\u05E4\u05D3\u05E4\u05DF \u05D0\u05D7\u05E8 \u05D9\u05DB\u05D5\u05DC\u05D9\u05DD \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D0\u05D9\u05DB\u05D5\u05EA \u05D4\u05E6\u05D2\u05EA \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05D3\u05E3 \u05D4\u05D6\u05D4.",fonts:"MathJax \u05D9\u05DB\u05D5\u05DC \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 STIX](%1) \u05D0\u05D5 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05E9\u05DC MathJax](%2). \u05D0\u05E0\u05D7\u05E0\u05D5 \u05DE\u05DE\u05DC\u05D9\u05E6\u05D9\u05DD \u05DC\u05D4\u05D5\u05E8\u05D9\u05D3 \u05D0\u05D7\u05D3 \u05DE\u05D4\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05D4\u05D0\u05DC\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D7\u05D5\u05D5\u05D9\u05D9\u05EA \u05D4\u05BEMathJax \u05E9\u05DC\u05DA.",STIXPage:"\u05D4\u05D3\u05E3 \u05D4\u05D6\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DD \u05DC\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 STIX](%1). \u05DE\u05D5\u05DE\u05DC\u05E5 \u05DC\u05D4\u05D5\u05E8\u05D9\u05D3 \u05D5\u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05EA \u05D4\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05D4\u05D0\u05DC\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D7\u05D5\u05D5\u05D9\u05D9\u05EA \u05D4\u05BEMathJax \u05E9\u05DC\u05DA.",TeXPage:"\u05D4\u05D3\u05E3 \u05D4\u05D6\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DD \u05DC\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1[\u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05E9\u05DC MathJax](%1). \u05DE\u05D5\u05DE\u05DC\u05E5 \u05DC\u05D4\u05D5\u05E8\u05D9\u05D3 \u05D5\u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05EA \u05D4\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05D4\u05D0\u05DC\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E9\u05E4\u05E8 \u05D0\u05EA \u05D7\u05D5\u05D5\u05D9\u05D9\u05EA \u05D4\u05BEMathJax \u05E9\u05DC\u05DA."}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/FontWarnings.js");
diff --git a/localization/he/HTML-CSS.js b/localization/he/HTML-CSS.js
index 7992834f09..dc8fee2369 100644
--- a/localization/he/HTML-CSS.js
+++ b/localization/he/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/he/HTML-CSS.js
+ *  /MathJax-v2/localization/he/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u05D8\u05E2\u05D9\u05E0\u05EA \u05D2\u05D5\u05E4\u05DF \u05D4\u05E8\u05E9\u05EA %1",CantLoadWebFont:"\u05DC\u05D0 \u05E0\u05D9\u05EA\u05DF \u05DC\u05D8\u05E2\u05D5\u05DF \u05D0\u05EA \u05D2\u05D5\u05E4\u05DF \u05D4\u05E8\u05E9\u05EA %1",FirefoxCantLoadWebFont:"\u05E4\u05D9\u05D9\u05E8\u05E4\u05D5\u05E7\u05E1 \u05D0\u05D9\u05E0\u05D5 \u05D9\u05DB\u05D5\u05DC \u05DC\u05D8\u05E2\u05D5\u05DF \u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05DE\u05E9\u05E8\u05EA \u05DE\u05E8\u05D5\u05D7\u05E7",CantFindFontUsing:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 \u05D2\u05D5\u05E4\u05DF \u05EA\u05E7\u05D9\u05DF \u05D1\u05D0\u05DE\u05E6\u05E2\u05D5\u05EA %1",WebFontsNotAvailable:"\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05D0\u05D9\u05E0\u05DD \u05D6\u05DE\u05D9\u05E0\u05D9\u05DD \u2013 \u05D1\u05DE\u05E7\u05D5\u05DE\u05DD \u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/HTML-CSS.js");
+MathJax.Localization.addTranslation("he","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u05D8\u05E2\u05D9\u05E0\u05EA \u05D2\u05D5\u05E4\u05DF \u05D4\u05E8\u05E9\u05EA %1",CantLoadWebFont:"\u05DC\u05D0 \u05E0\u05D9\u05EA\u05DF \u05DC\u05D8\u05E2\u05D5\u05DF \u05D0\u05EA \u05D2\u05D5\u05E4\u05DF \u05D4\u05E8\u05E9\u05EA %1",FirefoxCantLoadWebFont:"\u05E4\u05D9\u05D9\u05E8\u05E4\u05D5\u05E7\u05E1 \u05D0\u05D9\u05E0\u05D5 \u05D9\u05DB\u05D5\u05DC \u05DC\u05D8\u05E2\u05D5\u05DF \u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05DE\u05E9\u05E8\u05EA \u05DE\u05E8\u05D5\u05D7\u05E7",CantFindFontUsing:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 \u05D2\u05D5\u05E4\u05DF \u05EA\u05E7\u05D9\u05DF \u05D1\u05D0\u05DE\u05E6\u05E2\u05D5\u05EA %1",WebFontsNotAvailable:"\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05D0\u05D9\u05E0\u05DD \u05D6\u05DE\u05D9\u05E0\u05D9\u05DD \u2013 \u05D1\u05DE\u05E7\u05D5\u05DE\u05DD \u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/HTML-CSS.js");
diff --git a/localization/he/HelpDialog.js b/localization/he/HelpDialog.js
index ae915d6119..2a9e77ba05 100644
--- a/localization/he/HelpDialog.js
+++ b/localization/he/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/he/HelpDialog.js
+ *  /MathJax-v2/localization/he/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"\u05E2\u05D6\u05E8\u05D4 \u05E9\u05DC MathJax",MathJax:"*MathJax* \u05D4\u05D9\u05D0 \u05E1\u05E4\u05E8\u05D9\u05D9\u05EA \u05D2'\u05D0\u05D5\u05D4 \u05E1\u05E7\u05E8\u05D9\u05E4\u05D8 \u05E9\u05DE\u05D0\u05E4\u05E9\u05E8\u05EA \u05DC\u05DB\u05D5\u05EA\u05D1\u05D9 \u05D0\u05EA\u05E8\u05D9\u05DD \u05DC\u05DB\u05DC\u05D5\u05DC \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DE\u05EA\u05DE\u05D8\u05D9\u05D5\u05EA \u05D1\u05D3\u05E4\u05D9\u05DD. \u05D4\u05E7\u05D5\u05E8\u05D0\u05D9\u05DD \u05D0\u05D9\u05E0\u05DD \u05E6\u05E8\u05D9\u05DB\u05D9\u05DD \u05DC\u05E2\u05E9\u05D5\u05EA \u05D3\u05D1\u05E8 \u05DB\u05D3\u05D9 \u05E9\u05D6\u05D4 \u05D9\u05E7\u05E8\u05D4.",Browsers:"*\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD*: MathJax \u05E2\u05D5\u05D1\u05D3 \u05E2\u05DD \u05DB\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD \u05D4\u05DE\u05D5\u05D3\u05E8\u05E0\u05D9\u05D9\u05DD, \u05DB\u05D5\u05DC\u05DC \u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D0\u05E7\u05E1\u05E4\u05DC\u05D5\u05E8\u05E8 \u05DE\u05D2\u05E8\u05E1\u05D4 6 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05E4\u05D9\u05D9\u05E8\u05E4\u05D5\u05E7\u05E1 \u05DE\u05D2\u05E8\u05E1\u05D4 3 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05DB\u05E8\u05D5\u05DD \u05DE\u05D2\u05E8\u05E1\u05D4 0.2 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05E1\u05E4\u05D0\u05E8\u05D9 \u05DE\u05D2\u05E8\u05E1\u05D4 2 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05D0\u05D5\u05E4\u05E8\u05D4 \u05DE\u05D2\u05E8\u05E1\u05D4 9.6 \u05D5\u05DE\u05E2\u05DC\u05D4 \u05D5\u05E8\u05D5\u05D1 \u05D4\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD \u05DC\u05DE\u05DB\u05E9\u05D9\u05E8\u05D9\u05DD \u05E0\u05D9\u05D9\u05D3\u05D9\u05DD.",Menu:"*\u05EA\u05E4\u05E8\u05D9\u05D8 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4*: MathJax \u05DE\u05D5\u05E1\u05D9\u05E3 \u05EA\u05E4\u05E8\u05D9\u05D8 \u05D4\u05E7\u05E9\u05E8 \u05DC\u05DE\u05E9\u05D5\u05D5\u05D0\u05D5\u05EA. \u05D9\u05E9 \u05DC\u05E2\u05E9\u05D5\u05EA \u05DC\u05D7\u05D9\u05E6\u05D4 \u05D9\u05DE\u05E0\u05D9\u05EA \u05D0\u05D5 \u05DC\u05D7\u05D9\u05E6\u05D4 \u05E2\u05DD Ctrl \u05D1\u05DB\u05DC \u05E0\u05D5\u05E1\u05D7\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05D4\u05D9\u05DB\u05E0\u05E1 \u05DC\u05EA\u05E4\u05E8\u05D9\u05D8.",ShowMath:"*\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05EA\u05D5\u05E8* \u05DE\u05D0\u05E4\u05E9\u05E8 \u05DC\u05DA \u05DC\u05E8\u05D0\u05D5\u05EA \u05D0\u05EA \u05E7\u05D5\u05D3 \u05D4\u05DE\u05E7\u05D5\u05E8 \u05E9\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D4 \u05DC\u05D4\u05E2\u05EA\u05E7\u05D4 \u05D5\u05D4\u05D3\u05D1\u05E7\u05D4 (\u05D1\u05EA\u05D5\u05E8 MathML \u05D0\u05D5 \u05D1\u05E6\u05D5\u05E8\u05D4 \u05D4\u05DE\u05E7\u05D5\u05E8\u05D9\u05EA).",Settings:"*\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA* \u05E0\u05D5\u05EA\u05E0\u05D5\u05EA \u05DC\u05DA \u05E9\u05DC\u05D9\u05D8\u05D4 \u05E2\u05DC \u05D9\u05DB\u05D5\u05DC\u05D5\u05EA \u05E9\u05DC MathJax, \u05DB\u05D2\u05D5\u05DF \u05D4\u05D2\u05D5\u05D3\u05DC \u05E9\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D5\u05D4\u05E9\u05D9\u05D8\u05D4 \u05DC\u05D4\u05E6\u05D2\u05EA \u05D4\u05DE\u05E9\u05D5\u05D5\u05D0\u05D5\u05EA.",Language:"*\u05E9\u05E4\u05D4* \u2013 \u05DB\u05D0\u05DF \u05D0\u05E4\u05E9\u05E8 \u05DC\u05D1\u05D7\u05D5\u05E8 \u05D0\u05EA \u05D4\u05E9\u05E4\u05D4 \u05E9\u05BEMathJax \u05DE\u05E6\u05D9\u05D2\u05D4 \u05D1\u05EA\u05E4\u05E8\u05D9\u05D8\u05D9\u05DD \u05D5\u05D1\u05D4\u05D5\u05D3\u05E2\u05D5\u05EA \u05D4\u05D0\u05D6\u05D4\u05E8\u05D4",Zoom:"*\u05E7\u05D9\u05E8\u05D5\u05D1 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4*: \u05D0\u05DD \u05E7\u05E9\u05D4 \u05DC\u05DA \u05DC\u05E7\u05E8\u05D5\u05D0 \u05DE\u05E9\u05D5\u05D5\u05D0\u05D4, MathJax \u05D9\u05DB\u05D5\u05DC \u05DC\u05D4\u05D2\u05D3\u05D9\u05DC \u05D0\u05D5\u05EA\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E2\u05D6\u05D5\u05E8 \u05DC\u05DA \u05DC\u05E8\u05D0\u05D5\u05EA \u05D0\u05D5\u05EA\u05D4 \u05D8\u05D5\u05D1 \u05D9\u05D5\u05EA\u05E8.",Accessibilty:"*\u05E0\u05D2\u05D9\u05E9\u05D5\u05EA*: MathJax \u05E2\u05D5\u05D1\u05D3 \u05D0\u05D5\u05D8\u05D5\u05DE\u05D8\u05D9\u05EA \u05E2\u05DD \u05E7\u05D5\u05E8\u05D0\u05D9 \u05DE\u05E1\u05DA \u05DB\u05D3\u05D9 \u05DC\u05D5\u05D5\u05D3\u05D0 \u05E9\u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05E0\u05D2\u05D9\u05E9\u05D5\u05EA \u05DC\u05DB\u05D1\u05D3\u05D9 \u05E8\u05D0\u05D9\u05D9\u05D4.",Fonts:"*\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD*: MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05DE\u05EA\u05DE\u05D8\u05D9\u05D9\u05DD \u05DE\u05E1\u05D5\u05D9\u05DE\u05D9\u05DD \u05D0\u05DD \u05D4\u05DD \u05DE\u05D5\u05EA\u05E7\u05E0\u05D9\u05DD \u05D1\u05DE\u05D7\u05E9\u05D1 \u05E9\u05DC\u05DA; \u05D0\u05D7\u05E8\u05EA, \u05D4\u05D5\u05D0 \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA. \u05D0\u05E3 \u05E9\u05D6\u05D4 \u05D0\u05D9\u05E0\u05D5 \u05E0\u05D7\u05D5\u05E5, \u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05DE\u05D5\u05EA\u05E7\u05E0\u05D9\u05DD \u05DE\u05E7\u05D5\u05DE\u05D9\u05EA \u05D9\u05DB\u05D5\u05DC \u05DC\u05D6\u05E8\u05D6 \u05D0\u05EA \u05D4\u05E1\u05D3\u05B7\u05E8. \u05D0\u05E0\u05D7\u05E0\u05D5 \u05DE\u05DE\u05DC\u05D9\u05E6\u05D9\u05DD \u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05EA [\u05D2\u05D5\u05E4\u05E0\u05D9 STIX](%1).",CloseDialog:"\u05E1\u05D2\u05D9\u05E8\u05EA \u05D7\u05DC\u05D5\u05DF \u05D3\u05D5\u05BE\u05E9\u05D9\u05D7 \u05E2\u05D6\u05E8\u05D4"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/HelpDialog.js");
+MathJax.Localization.addTranslation("he","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"\u05E2\u05D6\u05E8\u05D4 \u05E9\u05DC MathJax",MathJax:"*MathJax* \u05D4\u05D9\u05D0 \u05E1\u05E4\u05E8\u05D9\u05D9\u05EA \u05D2'\u05D0\u05D5\u05D4 \u05E1\u05E7\u05E8\u05D9\u05E4\u05D8 \u05E9\u05DE\u05D0\u05E4\u05E9\u05E8\u05EA \u05DC\u05DB\u05D5\u05EA\u05D1\u05D9 \u05D0\u05EA\u05E8\u05D9\u05DD \u05DC\u05DB\u05DC\u05D5\u05DC \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DE\u05EA\u05DE\u05D8\u05D9\u05D5\u05EA \u05D1\u05D3\u05E4\u05D9\u05DD. \u05D4\u05E7\u05D5\u05E8\u05D0\u05D9\u05DD \u05D0\u05D9\u05E0\u05DD \u05E6\u05E8\u05D9\u05DB\u05D9\u05DD \u05DC\u05E2\u05E9\u05D5\u05EA \u05D3\u05D1\u05E8 \u05DB\u05D3\u05D9 \u05E9\u05D6\u05D4 \u05D9\u05E7\u05E8\u05D4.",Browsers:"*\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD*: MathJax \u05E2\u05D5\u05D1\u05D3 \u05E2\u05DD \u05DB\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD \u05D4\u05DE\u05D5\u05D3\u05E8\u05E0\u05D9\u05D9\u05DD, \u05DB\u05D5\u05DC\u05DC \u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D0\u05E7\u05E1\u05E4\u05DC\u05D5\u05E8\u05E8 \u05DE\u05D2\u05E8\u05E1\u05D4 6 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05E4\u05D9\u05D9\u05E8\u05E4\u05D5\u05E7\u05E1 \u05DE\u05D2\u05E8\u05E1\u05D4 3 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05DB\u05E8\u05D5\u05DD \u05DE\u05D2\u05E8\u05E1\u05D4 0.2 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05E1\u05E4\u05D0\u05E8\u05D9 \u05DE\u05D2\u05E8\u05E1\u05D4 2 \u05D5\u05DE\u05E2\u05DC\u05D4, \u05D0\u05D5\u05E4\u05E8\u05D4 \u05DE\u05D2\u05E8\u05E1\u05D4 9.6 \u05D5\u05DE\u05E2\u05DC\u05D4 \u05D5\u05E8\u05D5\u05D1 \u05D4\u05D3\u05E4\u05D3\u05E4\u05E0\u05D9\u05DD \u05DC\u05DE\u05DB\u05E9\u05D9\u05E8\u05D9\u05DD \u05E0\u05D9\u05D9\u05D3\u05D9\u05DD.",Menu:"*\u05EA\u05E4\u05E8\u05D9\u05D8 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4*: MathJax \u05DE\u05D5\u05E1\u05D9\u05E3 \u05EA\u05E4\u05E8\u05D9\u05D8 \u05D4\u05E7\u05E9\u05E8 \u05DC\u05DE\u05E9\u05D5\u05D5\u05D0\u05D5\u05EA. \u05D9\u05E9 \u05DC\u05E2\u05E9\u05D5\u05EA \u05DC\u05D7\u05D9\u05E6\u05D4 \u05D9\u05DE\u05E0\u05D9\u05EA \u05D0\u05D5 \u05DC\u05D7\u05D9\u05E6\u05D4 \u05E2\u05DD Ctrl \u05D1\u05DB\u05DC \u05E0\u05D5\u05E1\u05D7\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05D4\u05D9\u05DB\u05E0\u05E1 \u05DC\u05EA\u05E4\u05E8\u05D9\u05D8.",ShowMath:"*\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05EA\u05D5\u05E8* \u05DE\u05D0\u05E4\u05E9\u05E8 \u05DC\u05DA \u05DC\u05E8\u05D0\u05D5\u05EA \u05D0\u05EA \u05E7\u05D5\u05D3 \u05D4\u05DE\u05E7\u05D5\u05E8 \u05E9\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D4 \u05DC\u05D4\u05E2\u05EA\u05E7\u05D4 \u05D5\u05D4\u05D3\u05D1\u05E7\u05D4 (\u05D1\u05EA\u05D5\u05E8 MathML \u05D0\u05D5 \u05D1\u05E6\u05D5\u05E8\u05D4 \u05D4\u05DE\u05E7\u05D5\u05E8\u05D9\u05EA).",Settings:"*\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA* \u05E0\u05D5\u05EA\u05E0\u05D5\u05EA \u05DC\u05DA \u05E9\u05DC\u05D9\u05D8\u05D4 \u05E2\u05DC \u05D9\u05DB\u05D5\u05DC\u05D5\u05EA \u05E9\u05DC MathJax, \u05DB\u05D2\u05D5\u05DF \u05D4\u05D2\u05D5\u05D3\u05DC \u05E9\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D5\u05D4\u05E9\u05D9\u05D8\u05D4 \u05DC\u05D4\u05E6\u05D2\u05EA \u05D4\u05DE\u05E9\u05D5\u05D5\u05D0\u05D5\u05EA.",Language:"*\u05E9\u05E4\u05D4* \u2013 \u05DB\u05D0\u05DF \u05D0\u05E4\u05E9\u05E8 \u05DC\u05D1\u05D7\u05D5\u05E8 \u05D0\u05EA \u05D4\u05E9\u05E4\u05D4 \u05E9\u05BEMathJax \u05DE\u05E6\u05D9\u05D2\u05D4 \u05D1\u05EA\u05E4\u05E8\u05D9\u05D8\u05D9\u05DD \u05D5\u05D1\u05D4\u05D5\u05D3\u05E2\u05D5\u05EA \u05D4\u05D0\u05D6\u05D4\u05E8\u05D4",Zoom:"*\u05E7\u05D9\u05E8\u05D5\u05D1 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4*: \u05D0\u05DD \u05E7\u05E9\u05D4 \u05DC\u05DA \u05DC\u05E7\u05E8\u05D5\u05D0 \u05DE\u05E9\u05D5\u05D5\u05D0\u05D4, MathJax \u05D9\u05DB\u05D5\u05DC \u05DC\u05D4\u05D2\u05D3\u05D9\u05DC \u05D0\u05D5\u05EA\u05D4 \u05DB\u05D3\u05D9 \u05DC\u05E2\u05D6\u05D5\u05E8 \u05DC\u05DA \u05DC\u05E8\u05D0\u05D5\u05EA \u05D0\u05D5\u05EA\u05D4 \u05D8\u05D5\u05D1 \u05D9\u05D5\u05EA\u05E8.",Accessibilty:"*\u05E0\u05D2\u05D9\u05E9\u05D5\u05EA*: MathJax \u05E2\u05D5\u05D1\u05D3 \u05D0\u05D5\u05D8\u05D5\u05DE\u05D8\u05D9\u05EA \u05E2\u05DD \u05E7\u05D5\u05E8\u05D0\u05D9 \u05DE\u05E1\u05DA \u05DB\u05D3\u05D9 \u05DC\u05D5\u05D5\u05D3\u05D0 \u05E9\u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05E0\u05D2\u05D9\u05E9\u05D5\u05EA \u05DC\u05DB\u05D1\u05D3\u05D9 \u05E8\u05D0\u05D9\u05D9\u05D4.",Fonts:"*\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD*: MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05DE\u05EA\u05DE\u05D8\u05D9\u05D9\u05DD \u05DE\u05E1\u05D5\u05D9\u05DE\u05D9\u05DD \u05D0\u05DD \u05D4\u05DD \u05DE\u05D5\u05EA\u05E7\u05E0\u05D9\u05DD \u05D1\u05DE\u05D7\u05E9\u05D1 \u05E9\u05DC\u05DA; \u05D0\u05D7\u05E8\u05EA, \u05D4\u05D5\u05D0 \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA. \u05D0\u05E3 \u05E9\u05D6\u05D4 \u05D0\u05D9\u05E0\u05D5 \u05E0\u05D7\u05D5\u05E5, \u05D2\u05D5\u05E4\u05E0\u05D9\u05DD \u05DE\u05D5\u05EA\u05E7\u05E0\u05D9\u05DD \u05DE\u05E7\u05D5\u05DE\u05D9\u05EA \u05D9\u05DB\u05D5\u05DC \u05DC\u05D6\u05E8\u05D6 \u05D0\u05EA \u05D4\u05E1\u05D3\u05B7\u05E8. \u05D0\u05E0\u05D7\u05E0\u05D5 \u05DE\u05DE\u05DC\u05D9\u05E6\u05D9\u05DD \u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05EA [\u05D2\u05D5\u05E4\u05E0\u05D9 STIX](%1).",CloseDialog:"\u05E1\u05D2\u05D9\u05E8\u05EA \u05D7\u05DC\u05D5\u05DF \u05D3\u05D5\u05BE\u05E9\u05D9\u05D7 \u05E2\u05D6\u05E8\u05D4"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/HelpDialog.js");
diff --git a/localization/he/MathML.js b/localization/he/MathML.js
index 7855905748..a13d5afd3b 100644
--- a/localization/he/MathML.js
+++ b/localization/he/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/he/MathML.js
+ *  /MathJax-v2/localization/he/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u05E8\u05DB\u05D9\u05D1 mglyph \u05D2\u05E8\u05D5\u05E2: %1",BadMglyphFont:"\u05D2\u05D5\u05E4\u05DF \u05D2\u05E8\u05D5\u05E2: %1",MathPlayer:'MathJax \u05DC\u05D0 \u05D4\u05E6\u05DC\u05D9\u05D7 \u05DC\u05D4\u05D2\u05D3\u05D9\u05E8 \u05D0\u05EA MathPlayer.\n\n\u05D0\u05DD MathPlayer th\u05E0\u05D5 \u05DE\u05D5\u05EA\u05E7\u05DF, \u05D9\u05E9 \u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05D5\u05EA\u05D5 \u05EA\u05D7\u05D9\u05DC\u05D4.\n\u05D0\u05D7\u05E8\u05EA, \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05D4\u05D0\u05D1\u05D8\u05D7\u05D4 \u05E9\u05DC\u05DA \u05DC\u05D0 \u05D9\u05D0\u05E4\u05E9\u05E8\u05D5 \u05DC\u05E8\u05DB\u05D9\u05D1\u05D9 ActiveX\n\u05DC\u05E8\u05D5\u05E5. \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D7\u05DC\u05D5\u05DF \u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA \u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05EA\u05D7\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 \u05DB\u05DC\u05D9\u05DD, \u05DC\u05D1\u05D7\u05D5\u05E8 \u05D1\u05DC\u05E9\u05D5\u05E0\u05D9\u05EA "\u05D0\u05D1\u05D8\u05D7\u05D4", \u05D5\u05DC\u05DC\u05D7\u05D5\u05E5 \u05E2\u05DC "\u05E8\u05DE\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DE\u05EA \u05D0\u05D9\u05E9\u05D9\u05EA". \u05E9\u05DD \u05D9\u05E9 \u05DC\u05D1\u05D3\u05D5\u05E7 \u05E9\u05D4\u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA\n"\u05D4\u05E8\u05E6\u05E5 \u05D1\u05E7\u05E8\u05D9 ActiveX" \u05D5"\u05D4\u05EA\u05E0\u05D4\u05D2\u05D5\u05D9\u05D5\u05EA \u05D1\u05D9\u05E0\u05D0\u05E8\u05D9\u05D5\u05EA \u05D5\u05E1\u05E7\u05E8\u05D9\u05E4\u05D8\u05D9\u05DD" \u05DE\u05D5\u05E4\u05E2\u05DC\u05D5\u05EA.\n\n\u05D1\u05DE\u05E6\u05D1 \u05D4\u05E0\u05D5\u05DB\u05D7\u05D9 \u05D9\u05D5\u05E4\u05D9\u05E2\u05D5 \u05D4\u05D5\u05D3\u05E2\u05D5\u05EA \u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05DE\u05E7\u05D5\u05DD \n\u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05DE\u05E2\u05D5\u05E6\u05D1\u05EA.',CantCreateXMLParser:'MathJax \u05D0\u05D9\u05E0\u05D5 \u05D9\u05DB\u05D5\u05DC \u05DC\u05D9\u05E6\u05D5\u05E8 \u05DE\u05E4\u05E2\u05E0\u05D7 XML \u05E2\u05D1\u05D5\u05E8 MathML. \u05E0\u05D0 \u05DC\u05D1\u05D3\u05D5\u05E7\n\u05E9\u05D4\u05D2\u05D3\u05E8\u05EA \u05D4\u05D0\u05D1\u05D8\u05D7\u05D4 \'\u05D1\u05E7\u05E8\u05D9 ActiveX \u05E9\u05DE\u05E1\u05D5\u05DE\u05E0\u05D9\u05DD \u05D1\u05EA\u05D5\u05E8 \u05D1\u05D8\u05D5\u05D7\u05D9\u05DD\' \u05DE\u05D5\u05E4\u05E2\u05DC\u05EA\n(\u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA \u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D1\u05EA\u05E4\u05E8\u05D9\u05D8 \u05DB\u05DC\u05D9\u05DD, \u05DC\u05E4\u05EA\u05D5\u05D7 \u05D0\u05EA \u05DC\u05E9\u05D5\u05E0\u05D9\u05EA "\u05D0\u05D1\u05D8\u05D7\u05D4",\n\u05D5\u05D0\u05D6 \u05DC\u05DC\u05D7\u05D5\u05E5 \u05E2\u05DC "\u05E8\u05DE\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DE\u05EA \u05D0\u05D9\u05E9\u05D9\u05EA" \u05DB\u05D3\u05D9 \u05DC\u05D1\u05D3\u05D5\u05E7 \u05D0\u05EA \u05D6\u05D4).\n\n\u05DE\u05E9\u05D5\u05D5\u05D0\u05D5\u05EA MathML \u05DC\u05D0 \u05D9\u05E2\u05D5\u05D1\u05D3\u05D5 \u05E2\u05DC\u05BE\u05D9\u05D3\u05D9 MathJax.',UnknownNodeType:"\u05E1\u05D5\u05D2 \u05E6\u05D5\u05DE\u05EA \u05D1\u05DC\u05EA\u05D9\u05BE\u05D9\u05D5\u05D3\u05E2: %1",UnexpectedTextNode:"\u05E1\u05D5\u05D2 \u05E6\u05D5\u05DE\u05EA \u05D1\u05DC\u05EA\u05D9\u05BE\u05E6\u05E4\u05D5\u05D9: %1",ErrorParsingMathML:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E4\u05E2\u05E0\u05D5\u05D7 MathML",ParsingError:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E4\u05E2\u05E0\u05D5\u05D7 MathML\u200F: %1",MathMLSingleElement:"MathML \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DB\u05EA\u05D5\u05D1 \u05D1\u05D0\u05DC\u05DE\u05E0\u05D8 \u05D0\u05D7\u05D3",MathMLRootElement:"MathML \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05DB\u05EA\u05D1 \u05D1\u05D0\u05DC\u05DE\u05E0\u05D8 \u003Cmath\u003E, \u05DC\u05D0 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/MathML.js");
+MathJax.Localization.addTranslation("he","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"\u05E8\u05DB\u05D9\u05D1 mglyph \u05D2\u05E8\u05D5\u05E2: %1",BadMglyphFont:"\u05D2\u05D5\u05E4\u05DF \u05D2\u05E8\u05D5\u05E2: %1",MathPlayer:'MathJax \u05DC\u05D0 \u05D4\u05E6\u05DC\u05D9\u05D7 \u05DC\u05D4\u05D2\u05D3\u05D9\u05E8 \u05D0\u05EA MathPlayer.\n\n\u05D0\u05DD MathPlayer th\u05E0\u05D5 \u05DE\u05D5\u05EA\u05E7\u05DF, \u05D9\u05E9 \u05DC\u05D4\u05EA\u05E7\u05D9\u05DF \u05D0\u05D5\u05EA\u05D5 \u05EA\u05D7\u05D9\u05DC\u05D4.\n\u05D0\u05D7\u05E8\u05EA, \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05D4\u05D0\u05D1\u05D8\u05D7\u05D4 \u05E9\u05DC\u05DA \u05DC\u05D0 \u05D9\u05D0\u05E4\u05E9\u05E8\u05D5 \u05DC\u05E8\u05DB\u05D9\u05D1\u05D9 ActiveX\n\u05DC\u05E8\u05D5\u05E5. \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D7\u05DC\u05D5\u05DF \u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA \u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05EA\u05D7\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 \u05DB\u05DC\u05D9\u05DD, \u05DC\u05D1\u05D7\u05D5\u05E8 \u05D1\u05DC\u05E9\u05D5\u05E0\u05D9\u05EA "\u05D0\u05D1\u05D8\u05D7\u05D4", \u05D5\u05DC\u05DC\u05D7\u05D5\u05E5 \u05E2\u05DC "\u05E8\u05DE\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DE\u05EA \u05D0\u05D9\u05E9\u05D9\u05EA". \u05E9\u05DD \u05D9\u05E9 \u05DC\u05D1\u05D3\u05D5\u05E7 \u05E9\u05D4\u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA\n"\u05D4\u05E8\u05E6\u05E5 \u05D1\u05E7\u05E8\u05D9 ActiveX" \u05D5"\u05D4\u05EA\u05E0\u05D4\u05D2\u05D5\u05D9\u05D5\u05EA \u05D1\u05D9\u05E0\u05D0\u05E8\u05D9\u05D5\u05EA \u05D5\u05E1\u05E7\u05E8\u05D9\u05E4\u05D8\u05D9\u05DD" \u05DE\u05D5\u05E4\u05E2\u05DC\u05D5\u05EA.\n\n\u05D1\u05DE\u05E6\u05D1 \u05D4\u05E0\u05D5\u05DB\u05D7\u05D9 \u05D9\u05D5\u05E4\u05D9\u05E2\u05D5 \u05D4\u05D5\u05D3\u05E2\u05D5\u05EA \u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05DE\u05E7\u05D5\u05DD \n\u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05DE\u05E2\u05D5\u05E6\u05D1\u05EA.',CantCreateXMLParser:'MathJax \u05D0\u05D9\u05E0\u05D5 \u05D9\u05DB\u05D5\u05DC \u05DC\u05D9\u05E6\u05D5\u05E8 \u05DE\u05E4\u05E2\u05E0\u05D7 XML \u05E2\u05D1\u05D5\u05E8 MathML. \u05E0\u05D0 \u05DC\u05D1\u05D3\u05D5\u05E7\n\u05E9\u05D4\u05D2\u05D3\u05E8\u05EA \u05D4\u05D0\u05D1\u05D8\u05D7\u05D4 \'\u05D1\u05E7\u05E8\u05D9 ActiveX \u05E9\u05DE\u05E1\u05D5\u05DE\u05E0\u05D9\u05DD \u05D1\u05EA\u05D5\u05E8 \u05D1\u05D8\u05D5\u05D7\u05D9\u05DD\' \u05DE\u05D5\u05E4\u05E2\u05DC\u05EA\n(\u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA \u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D1\u05EA\u05E4\u05E8\u05D9\u05D8 \u05DB\u05DC\u05D9\u05DD, \u05DC\u05E4\u05EA\u05D5\u05D7 \u05D0\u05EA \u05DC\u05E9\u05D5\u05E0\u05D9\u05EA "\u05D0\u05D1\u05D8\u05D7\u05D4",\n\u05D5\u05D0\u05D6 \u05DC\u05DC\u05D7\u05D5\u05E5 \u05E2\u05DC "\u05E8\u05DE\u05D4 \u05DE\u05D5\u05EA\u05D0\u05DE\u05EA \u05D0\u05D9\u05E9\u05D9\u05EA" \u05DB\u05D3\u05D9 \u05DC\u05D1\u05D3\u05D5\u05E7 \u05D0\u05EA \u05D6\u05D4).\n\n\u05DE\u05E9\u05D5\u05D5\u05D0\u05D5\u05EA MathML \u05DC\u05D0 \u05D9\u05E2\u05D5\u05D1\u05D3\u05D5 \u05E2\u05DC\u05BE\u05D9\u05D3\u05D9 MathJax.',UnknownNodeType:"\u05E1\u05D5\u05D2 \u05E6\u05D5\u05DE\u05EA \u05D1\u05DC\u05EA\u05D9\u05BE\u05D9\u05D5\u05D3\u05E2: %1",UnexpectedTextNode:"\u05E1\u05D5\u05D2 \u05E6\u05D5\u05DE\u05EA \u05D1\u05DC\u05EA\u05D9\u05BE\u05E6\u05E4\u05D5\u05D9: %1",ErrorParsingMathML:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E4\u05E2\u05E0\u05D5\u05D7 MathML",ParsingError:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E4\u05E2\u05E0\u05D5\u05D7 MathML\u200F: %1",MathMLSingleElement:"MathML \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DB\u05EA\u05D5\u05D1 \u05D1\u05D0\u05DC\u05DE\u05E0\u05D8 \u05D0\u05D7\u05D3",MathMLRootElement:"MathML \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05DB\u05EA\u05D1 \u05D1\u05D0\u05DC\u05DE\u05E0\u05D8 \u003Cmath\u003E, \u05DC\u05D0 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/MathML.js");
diff --git a/localization/he/MathMenu.js b/localization/he/MathMenu.js
index 903a367df5..83f396260b 100644
--- a/localization/he/MathMenu.js
+++ b/localization/he/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/he/MathMenu.js
+ *  /MathJax-v2/localization/he/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05EA\u05D5\u05E8",MathMLcode:"\u05E7\u05D5\u05D3 MathML",OriginalMathML:"MathML \u05DE\u05E7\u05D5\u05E8\u05D9",TeXCommands:"\u05E4\u05E7\u05D5\u05D3\u05D5\u05EA TeX",AsciiMathInput:"\u05E7\u05DC\u05D8 AsciiMathML",Original:"\u05D4\u05E6\u05D5\u05E8\u05D4 \u05D4\u05DE\u05E7\u05D5\u05E8\u05D9\u05EA",ErrorMessage:"\u05D4\u05D5\u05D3\u05E2\u05EA \u05E9\u05D2\u05D9\u05D0\u05D4",Annotation:"\u05E4\u05D9\u05E8\u05D5\u05E9",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E8\u05DE\u05D6\u05D9\u05DD \u05E9\u05DC TeX \u05D1\u05BEMathML",Settings:"\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4",ZoomTrigger:"\u05DE\u05D4 \u05D2\u05D5\u05E8\u05DD \u05DC\u05E7\u05D9\u05E8\u05D5\u05D1",Hover:"\u05DE\u05E2\u05D1\u05E8 \u05E2\u05DB\u05D1\u05E8",Click:"\u05DC\u05D7\u05D9\u05E6\u05D4",DoubleClick:"\u05DC\u05D7\u05D9\u05E6\u05D4 \u05DB\u05E4\u05D5\u05DC\u05D4",NoZoom:"\u05DC\u05DC\u05D0 \u05E7\u05D9\u05E8\u05D5\u05D1",TriggerRequires:"\u05D4\u05E4\u05E2\u05DC\u05EA \u05D4\u05E7\u05D9\u05E8\u05D5\u05D1 \u05D3\u05D5\u05E8\u05E9\u05EA:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u05E8\u05DE\u05EA \u05E7\u05D9\u05E8\u05D5\u05D1",Renderer:"\u05DE\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA",MPHandles:"\u05DC\u05D0\u05E4\u05E9\u05E8 \u05DC\u05BEMathPlayer \u05DC\u05D8\u05E4\u05DC \u05D1\u05BE:",MenuEvents:"\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05EA\u05E4\u05E8\u05D9\u05D8",MouseEvents:"\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05E2\u05DB\u05D1\u05E8",MenuAndMouse:"\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05E2\u05DB\u05D1\u05E8 \u05D5\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05EA\u05E4\u05E8\u05D9\u05D8",FontPrefs:"\u05D4\u05E2\u05D3\u05E4\u05D5\u05EA \u05D2\u05D5\u05E4\u05E0\u05D9\u05DD",ForHTMLCSS:"\u05E2\u05D1\u05D5\u05E8 HTML-CSS:",Auto:"\u05D0\u05D5\u05D8\u05D5\u05DE\u05D8\u05D9",TeXLocal:"TeX (\u05DE\u05E7\u05D5\u05DE\u05D9)",TeXWeb:"TeX (\u05D1\u05E8\u05E9\u05EA)",TeXImage:"TeX (\u05EA\u05DE\u05D5\u05E0\u05D4)",STIXLocal:"STIX (\u05DE\u05E7\u05D5\u05DE\u05D9)",STIXWeb:"STIX (\u05D1\u05E8\u05E9\u05EA)",AsanaMathWeb:"Asana Math (\u05D1\u05E8\u05E9\u05EA)",GyrePagellaWeb:"Gyre Pagella (\u05D1\u05E8\u05E9\u05EA)",GyreTermesWeb:"Gyre Termes (\u05D1\u05E8\u05E9\u05EA)",LatinModernWeb:"Latin Modern (\u05D1\u05E8\u05E9\u05EA)",NeoEulerWeb:"Neo Euler (\u05D1\u05E8\u05E9\u05EA)",ContextMenu:"\u05EA\u05E4\u05E8\u05D9\u05D8 \u05D4\u05B6\u05E7\u05E9\u05E8",Browser:"\u05D3\u05E4\u05D3\u05E4\u05DF",Scale:"\u05DC\u05D4\u05EA\u05D0\u05D9\u05DD \u05D0\u05EA \u05D4\u05D2\u05D5\u05D3\u05DC \u05E9\u05DC \u05DB\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA...",Discoverable:"\u05DC\u05D4\u05D0\u05D9\u05E8 \u05D1\u05DE\u05E2\u05D1\u05E8 \u05E2\u05DB\u05D1\u05E8",Locale:"\u05E9\u05E4\u05D4",LoadLocale:"\u05DC\u05D8\u05E2\u05D5\u05DF \u05DE\u05DB\u05EA\u05D5\u05D1\u05EA...",About:"\u05D0\u05D5\u05D3\u05D5\u05EA MathJax",Help:"\u05E2\u05D6\u05E8\u05D4 \u05E9\u05DC MathJax",localTeXfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05DE\u05E7\u05D5\u05DE\u05D9\u05D9\u05DD",webTeXfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05DE\u05D4\u05E8\u05E9\u05EA",imagefonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4",localSTIXfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 STIX \u05DE\u05E7\u05D5\u05DE\u05D9\u05D9\u05DD",webSVGfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 SVG \u05DE\u05D4\u05E8\u05E9\u05EA",genericfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 \u05D9\u05D5\u05E0\u05D9\u05E7\u05D5\u05D3 \u05DB\u05DC\u05DC\u05D9\u05D9\u05DD",wofforotffonts:"\u05D2\u05D5\u05E4\u05E0\u05D9 woff \u05D0\u05D5 otf",eotffonts:"\u05D2\u05D5\u05E4\u05E0\u05D9 eot",svgfonts:"\u05D2\u05D5\u05E4\u05E0\u05D9 svg",WebkitNativeMMLWarning:"\u05D1\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D0\u05D9\u05DF \u05EA\u05DE\u05D9\u05DB\u05D4 \u05DE\u05D5\u05D1\u05E0\u05D9\u05EA \u05D1\u05BEMathML, \u05D0\u05D6 \u05DE\u05E2\u05D1\u05E8 \u05DC\u05E4\u05DC\u05D8 MathML \u05E2\u05DC\u05D5\u05DC \u05DC\u05D4\u05E4\u05D5\u05DA \u05D0\u05EA \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DC\u05D1\u05DC\u05EA\u05D9\u05BE\u05E7\u05E8\u05D9\u05D0\u05D5\u05EA",MSIENativeMMLWarning:"\u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D0\u05E7\u05E1\u05E4\u05DC\u05D5\u05E8\u05E8 \u05D3\u05D5\u05E8\u05E9 \u05EA\u05D5\u05E1\u05E3 MathPlayer \u05DB\u05D3\u05D9 \u05DC\u05E2\u05D1\u05D3 \u05E4\u05DC\u05D8 MathML.",OperaNativeMMLWarning:"\u05D4\u05EA\u05DE\u05D9\u05DB\u05D4 \u05E9\u05DC \u05D0\u05D5\u05E4\u05E8\u05D4 \u05D1\u05BEMathML \u05DE\u05D5\u05D2\u05D1\u05DC\u05EA, \u05D0\u05D6 \u05DE\u05E2\u05D1\u05E8 \u05DC\u05BEMathML \u05E2\u05DC\u05D5\u05DC \u05DC\u05D2\u05E8\u05D5\u05DD \u05DC\u05D7\u05DC\u05E7 \u05DE\u05D4\u05D1\u05D9\u05D8\u05D5\u05D9\u05D9\u05DD \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05D5\u05E6\u05D2\u05D9\u05DD \u05D1\u05D0\u05D5\u05E4\u05DF \u05D2\u05E8\u05D5\u05E2.",SafariNativeMMLWarning:"\u05D4\u05EA\u05DE\u05D9\u05DB\u05D4 \u05D4\u05DE\u05D5\u05D1\u05E0\u05D9\u05EA \u05E9\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D1\u05BEMathML \u05D0\u05D9\u05E0\u05D4 \u05DE\u05DE\u05DE\u05E9\u05EA \u05D0\u05EA \u05DB\u05DC \u05D4\u05D9\u05DB\u05D5\u05DC\u05D5\u05EA \u05E9\u05BEMathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D4\u05DF, \u05D0\u05D6 \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D1\u05D9\u05D8\u05D5\u05D9\u05D9\u05DD \u05D0\u05D7\u05D3\u05D9\u05DD \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05DB\u05E8\u05D0\u05D5\u05D9.",FirefoxNativeMMLWarning:"\u05D4\u05EA\u05DE\u05D9\u05DB\u05D4 \u05D4\u05DE\u05D5\u05D1\u05E0\u05D9\u05EA \u05E9\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D1\u05BEMathML \u05D0\u05D9\u05E0\u05D4 \u05DE\u05DE\u05DE\u05E9\u05EA \u05D0\u05EA \u05DB\u05DC \u05D4\u05D9\u05DB\u05D5\u05DC\u05D5\u05EA \u05E9\u05BEMathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D4\u05DF, \u05D0\u05D6 \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D1\u05D9\u05D8\u05D5\u05D9\u05D9\u05DD \u05D0\u05D7\u05D3\u05D9\u05DD \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05DB\u05E8\u05D0\u05D5\u05D9.",MSIESVGWarning:"\u05EA\u05DE\u05D9\u05DB\u05D4 \u05D1\u05BESVG \u05D0\u05D9\u05E0\u05D4 \u05DE\u05DE\u05D5\u05DE\u05E9\u05EA \u05D1\u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D0\u05E7\u05E1\u05E4\u05DC\u05D5\u05E8\u05E8 \u05DC\u05E4\u05E0\u05D9 \u05D2\u05E8\u05E1\u05D4 9 \u05D0\u05D5 \u05DB\u05D0\u05E9\u05E8 \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E4\u05D5\u05E2\u05DC \u05D1\u05DE\u05E6\u05D1 \u05EA\u05D0\u05D9\u05DE\u05D5\u05EA \u05DC\u05D2\u05E8\u05E1\u05D4 8 \u05D5\u05DE\u05D8\u05D4. \u05DE\u05E2\u05D1\u05E8 \u05DC\u05E4\u05DC\u05D8 \u05D1\u05BESVG \u05D9\u05D2\u05E8\u05D5\u05DD \u05DC\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DE\u05EA\u05DE\u05D8\u05D9\u05D5\u05EA \u05DC\u05D0 \u05D4\u05D9\u05D5\u05EA \u05DE\u05D5\u05E6\u05D2\u05D5\u05EA \u05DB\u05E8\u05D0\u05D5\u05D9.",LoadURL:"\u05D8\u05E2\u05D9\u05E0\u05EA \u05E0\u05EA\u05D5\u05E0\u05D9 \u05EA\u05E8\u05D2\u05D5\u05DD \u05DE\u05D4\u05DB\u05EA\u05D5\u05D1\u05EA \u05D4\u05D1\u05D0\u05D4:",BadURL:"\u05D4\u05DB\u05EA\u05D5\u05D1\u05EA \u05E6\u05E8\u05D9\u05DB\u05D4 \u05DC\u05DB\u05E4\u05E0\u05D5\u05EA \u05DC\u05E7\u05D5\u05D1\u05E5 \u05D2'\u05D0\u05D5\u05D5\u05D4 \u05E1\u05E7\u05E8\u05D9\u05E4\u05D8 \u05E9\u05DE\u05D2\u05D3\u05D9\u05E8 \u05E0\u05EA\u05D5\u05E0\u05D9 \u05EA\u05E8\u05D2\u05D5\u05DD \u05E9\u05DC MathJax. \u05E7\u05D5\u05D1\u05E5 \u05D4\u05D2'\u05D0\u05D5\u05D5\u05E1 \u05E1\u05E7\u05E8\u05D9\u05E4\u05D8 \u05D0\u05DE\u05D5\u05E8 \u05DC\u05D4\u05E1\u05EA\u05D9\u05D9\u05DD \u05D1\u05BEjs.",BadData:"\u05E0\u05DB\u05E9\u05DC\u05D4 \u05D8\u05E2\u05D9\u05E0\u05EA \u05E0\u05EA\u05D5\u05E0\u05D9 \u05EA\u05E8\u05D2\u05D5\u05DD \u05DE\u05BE%1",SwitchAnyway:"\u05DC\u05E9\u05E0\u05D5\u05EA \u05D0\u05EA \u05D4\u05DE\u05E6\u05D9\u05D2 \u05D1\u05DB\u05DC \u05D6\u05D0\u05EA?\n\n(\u05D9\u05E9 \u05DC\u05DC\u05D7\u05D5\u05E5 \u05D0\u05D9\u05E9\u05D5\u05E8 \u05DC\u05DE\u05E2\u05D1\u05E8 \u05D0\u05D5 \u05D1\u05D9\u05D8\u05D5\u05DC \u05DC\u05D4\u05DE\u05E9\u05DA \u05E2\u05DD \u05D4\u05E6\u05D9\u05D2 \u05D4\u05E0\u05D5\u05DB\u05D7\u05D9)",ScaleMath:"\u05DC\u05D4\u05EA\u05D0\u05D9\u05DD \u05D0\u05EA \u05D4\u05D2\u05D5\u05D3\u05DC \u05E9\u05DC \u05DB\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA (\u05D9\u05D7\u05E1\u05D9\u05EA \u05DC\u05D8\u05E7\u05E1\u05D8 \u05D4\u05E1\u05DE\u05D5\u05DA) \u05D1\u05BE:",NonZeroScale:"\u05D4\u05D2\u05D5\u05D3\u05DC \u05DC\u05D0 \u05D9\u05DB\u05D5\u05DC \u05DC\u05D4\u05D9\u05D5 \u05D0\u05E4\u05E1",PercentScale:"\u05D4\u05D2\u05D5\u05D3\u05DC \u05D0\u05DE\u05D5\u05E8 \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05D0\u05D7\u05D5\u05D6\u05D9\u05DD (\u05DC\u05DE\u05E9\u05DC 120%%)",IE8warning:"\u05D6\u05D4 \u05D9\u05DB\u05D1\u05D4 \u05D0\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 MathJax \u05D5\u05D0\u05EA \u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA \u05D4\u05E7\u05D9\u05E8\u05D5\u05D1, \u05D0\u05D1\u05DC \u05D0\u05E4\u05E9\u05E8 \u05DC\u05E2\u05E9\u05D5\u05EA \u05DC\u05D7\u05D9\u05E6\u05D4 \u05E2\u05DD Alt \u05E2\u05DC \u05D1\u05D9\u05D8\u05D5\u05D9 \u05DB\u05D3\u05D9 \u05DC\u05E7\u05D1\u05DC \u05D8\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 M\uFFFDathJax \u05D1\u05DE\u05E7\u05D5\u05DD \u05D6\u05D4.\n\n\u05D4\u05D0\u05DD \u05D1\u05D0\u05DE\u05EA \u05DC\u05E9\u05E0\u05D5\u05EA \u05D0\u05EA \u05D4\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05E9\u05DC MathJax?",IE9warning:"\u05EA\u05E4\u05E8\u05D9\u05D8 \u05D4\u05D4\u05E7\u05E9\u05E8 \u05E9\u05DC MathJax \u05D9\u05DB\u05D5\u05D1\u05D4, \u05D0\u05D1\u05DC \u05D0\u05E4\u05E9\u05E8 \u05DC\u05E2\u05E9\u05D5\u05EA \u05DC\u05D7\u05D9\u05E6\u05D4 \u05E2\u05DD Alt \u05E2\u05DC \u05D1\u05D9\u05D8\u05D5\u05D7 \u05DB\u05D3\u05D9 \u05DC\u05E7\u05D1\u05DC \u05D0\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 MathJax.",NoOriginalForm:"\u05D4\u05E6\u05D5\u05E8\u05D4 \u05D4\u05DE\u05E7\u05D5\u05E8\u05D9\u05EA \u05D0\u05D9\u05E0\u05D4 \u05D6\u05DE\u05D9\u05E0\u05D4",Close:"\u05E1\u05D2\u05D9\u05E8\u05D4",EqSource:"\u05DE\u05E7\u05D5\u05E8 \u05D4\u05DE\u05E9\u05D5\u05D5\u05D0\u05D4 \u05E9\u05DC MathJax",CloseAboutDialog:"\u05E1\u05D2\u05D9\u05E8\u05EA \u05D7\u05DC\u05D5\u05DF \u05D3\u05D5\u05BE\u05E9\u05D9\u05D7 \u05D0\u05D5\u05D3\u05D5\u05EA MathJax",FastPreview:"\u05EA\u05E6\u05D5\u05D2\u05D4 \u05DE\u05E7\u05D3\u05D9\u05DE\u05D4 \u05DE\u05D4\u05D9\u05E8\u05D4",AssistiveMML:"MathML \u05E0\u05D2\u05D9\u05E9",InTabOrder:"\u05DC\u05DB\u05DC\u05D5\u05DC \u05D1\u05E1\u05D3\u05E8 \u05D4\u05D8\u05D0\u05D1\u05D9\u05DD"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/MathMenu.js");
+MathJax.Localization.addTranslation("he","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05EA\u05D5\u05E8",MathMLcode:"\u05E7\u05D5\u05D3 MathML",OriginalMathML:"MathML \u05DE\u05E7\u05D5\u05E8\u05D9",TeXCommands:"\u05E4\u05E7\u05D5\u05D3\u05D5\u05EA TeX",AsciiMathInput:"\u05E7\u05DC\u05D8 AsciiMathML",Original:"\u05D4\u05E6\u05D5\u05E8\u05D4 \u05D4\u05DE\u05E7\u05D5\u05E8\u05D9\u05EA",ErrorMessage:"\u05D4\u05D5\u05D3\u05E2\u05EA \u05E9\u05D2\u05D9\u05D0\u05D4",Annotation:"\u05E4\u05D9\u05E8\u05D5\u05E9",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E8\u05DE\u05D6\u05D9\u05DD \u05E9\u05DC TeX \u05D1\u05BEMathML",Settings:"\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4",ZoomTrigger:"\u05DE\u05D4 \u05D2\u05D5\u05E8\u05DD \u05DC\u05E7\u05D9\u05E8\u05D5\u05D1",Hover:"\u05DE\u05E2\u05D1\u05E8 \u05E2\u05DB\u05D1\u05E8",Click:"\u05DC\u05D7\u05D9\u05E6\u05D4",DoubleClick:"\u05DC\u05D7\u05D9\u05E6\u05D4 \u05DB\u05E4\u05D5\u05DC\u05D4",NoZoom:"\u05DC\u05DC\u05D0 \u05E7\u05D9\u05E8\u05D5\u05D1",TriggerRequires:"\u05D4\u05E4\u05E2\u05DC\u05EA \u05D4\u05E7\u05D9\u05E8\u05D5\u05D1 \u05D3\u05D5\u05E8\u05E9\u05EA:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u05E8\u05DE\u05EA \u05E7\u05D9\u05E8\u05D5\u05D1",Renderer:"\u05DE\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA",MPHandles:"\u05DC\u05D0\u05E4\u05E9\u05E8 \u05DC\u05BEMathPlayer \u05DC\u05D8\u05E4\u05DC \u05D1\u05BE:",MenuEvents:"\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05EA\u05E4\u05E8\u05D9\u05D8",MouseEvents:"\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05E2\u05DB\u05D1\u05E8",MenuAndMouse:"\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05E2\u05DB\u05D1\u05E8 \u05D5\u05D0\u05D9\u05E8\u05D5\u05E2\u05D9 \u05EA\u05E4\u05E8\u05D9\u05D8",FontPrefs:"\u05D4\u05E2\u05D3\u05E4\u05D5\u05EA \u05D2\u05D5\u05E4\u05E0\u05D9\u05DD",ForHTMLCSS:"\u05E2\u05D1\u05D5\u05E8 HTML-CSS:",Auto:"\u05D0\u05D5\u05D8\u05D5\u05DE\u05D8\u05D9",TeXLocal:"TeX (\u05DE\u05E7\u05D5\u05DE\u05D9)",TeXWeb:"TeX (\u05D1\u05E8\u05E9\u05EA)",TeXImage:"TeX (\u05EA\u05DE\u05D5\u05E0\u05D4)",STIXLocal:"STIX (\u05DE\u05E7\u05D5\u05DE\u05D9)",STIXWeb:"STIX (\u05D1\u05E8\u05E9\u05EA)",AsanaMathWeb:"Asana Math (\u05D1\u05E8\u05E9\u05EA)",GyrePagellaWeb:"Gyre Pagella (\u05D1\u05E8\u05E9\u05EA)",GyreTermesWeb:"Gyre Termes (\u05D1\u05E8\u05E9\u05EA)",LatinModernWeb:"Latin Modern (\u05D1\u05E8\u05E9\u05EA)",NeoEulerWeb:"Neo Euler (\u05D1\u05E8\u05E9\u05EA)",ContextMenu:"\u05EA\u05E4\u05E8\u05D9\u05D8 \u05D4\u05B6\u05E7\u05E9\u05E8",Browser:"\u05D3\u05E4\u05D3\u05E4\u05DF",Scale:"\u05DC\u05D4\u05EA\u05D0\u05D9\u05DD \u05D0\u05EA \u05D4\u05D2\u05D5\u05D3\u05DC \u05E9\u05DC \u05DB\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA...",Discoverable:"\u05DC\u05D4\u05D0\u05D9\u05E8 \u05D1\u05DE\u05E2\u05D1\u05E8 \u05E2\u05DB\u05D1\u05E8",Locale:"\u05E9\u05E4\u05D4",LoadLocale:"\u05DC\u05D8\u05E2\u05D5\u05DF \u05DE\u05DB\u05EA\u05D5\u05D1\u05EA...",About:"\u05D0\u05D5\u05D3\u05D5\u05EA MathJax",Help:"\u05E2\u05D6\u05E8\u05D4 \u05E9\u05DC MathJax",localTeXfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05DE\u05E7\u05D5\u05DE\u05D9\u05D9\u05DD",webTeXfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 TeX \u05DE\u05D4\u05E8\u05E9\u05EA",imagefonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 \u05EA\u05DE\u05D5\u05E0\u05D4",localSTIXfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 STIX \u05DE\u05E7\u05D5\u05DE\u05D9\u05D9\u05DD",webSVGfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 SVG \u05DE\u05D4\u05E8\u05E9\u05EA",genericfonts:"\u05DE\u05E9\u05DE\u05E9\u05D9\u05DD \u05D2\u05D5\u05E4\u05E0\u05D9 \u05D9\u05D5\u05E0\u05D9\u05E7\u05D5\u05D3 \u05DB\u05DC\u05DC\u05D9\u05D9\u05DD",wofforotffonts:"\u05D2\u05D5\u05E4\u05E0\u05D9 woff \u05D0\u05D5 otf",eotffonts:"\u05D2\u05D5\u05E4\u05E0\u05D9 eot",svgfonts:"\u05D2\u05D5\u05E4\u05E0\u05D9 svg",WebkitNativeMMLWarning:"\u05D1\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D0\u05D9\u05DF \u05EA\u05DE\u05D9\u05DB\u05D4 \u05DE\u05D5\u05D1\u05E0\u05D9\u05EA \u05D1\u05BEMathML, \u05D0\u05D6 \u05DE\u05E2\u05D1\u05E8 \u05DC\u05E4\u05DC\u05D8 MathML \u05E2\u05DC\u05D5\u05DC \u05DC\u05D4\u05E4\u05D5\u05DA \u05D0\u05EA \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DC\u05D1\u05DC\u05EA\u05D9\u05BE\u05E7\u05E8\u05D9\u05D0\u05D5\u05EA",MSIENativeMMLWarning:"\u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D0\u05E7\u05E1\u05E4\u05DC\u05D5\u05E8\u05E8 \u05D3\u05D5\u05E8\u05E9 \u05EA\u05D5\u05E1\u05E3 MathPlayer \u05DB\u05D3\u05D9 \u05DC\u05E2\u05D1\u05D3 \u05E4\u05DC\u05D8 MathML.",OperaNativeMMLWarning:"\u05D4\u05EA\u05DE\u05D9\u05DB\u05D4 \u05E9\u05DC \u05D0\u05D5\u05E4\u05E8\u05D4 \u05D1\u05BEMathML \u05DE\u05D5\u05D2\u05D1\u05DC\u05EA, \u05D0\u05D6 \u05DE\u05E2\u05D1\u05E8 \u05DC\u05BEMathML \u05E2\u05DC\u05D5\u05DC \u05DC\u05D2\u05E8\u05D5\u05DD \u05DC\u05D7\u05DC\u05E7 \u05DE\u05D4\u05D1\u05D9\u05D8\u05D5\u05D9\u05D9\u05DD \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05D5\u05E6\u05D2\u05D9\u05DD \u05D1\u05D0\u05D5\u05E4\u05DF \u05D2\u05E8\u05D5\u05E2.",SafariNativeMMLWarning:"\u05D4\u05EA\u05DE\u05D9\u05DB\u05D4 \u05D4\u05DE\u05D5\u05D1\u05E0\u05D9\u05EA \u05E9\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D1\u05BEMathML \u05D0\u05D9\u05E0\u05D4 \u05DE\u05DE\u05DE\u05E9\u05EA \u05D0\u05EA \u05DB\u05DC \u05D4\u05D9\u05DB\u05D5\u05DC\u05D5\u05EA \u05E9\u05BEMathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D4\u05DF, \u05D0\u05D6 \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D1\u05D9\u05D8\u05D5\u05D9\u05D9\u05DD \u05D0\u05D7\u05D3\u05D9\u05DD \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05DB\u05E8\u05D0\u05D5\u05D9.",FirefoxNativeMMLWarning:"\u05D4\u05EA\u05DE\u05D9\u05DB\u05D4 \u05D4\u05DE\u05D5\u05D1\u05E0\u05D9\u05EA \u05E9\u05DC \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D1\u05BEMathML \u05D0\u05D9\u05E0\u05D4 \u05DE\u05DE\u05DE\u05E9\u05EA \u05D0\u05EA \u05DB\u05DC \u05D4\u05D9\u05DB\u05D5\u05DC\u05D5\u05EA \u05E9\u05BEMathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D4\u05DF, \u05D0\u05D6 \u05D9\u05D9\u05EA\u05DB\u05DF \u05E9\u05D1\u05D9\u05D8\u05D5\u05D9\u05D9\u05DD \u05D0\u05D7\u05D3\u05D9\u05DD \u05DC\u05D0 \u05D9\u05D5\u05E6\u05D2\u05D5 \u05DB\u05E8\u05D0\u05D5\u05D9.",MSIESVGWarning:"\u05EA\u05DE\u05D9\u05DB\u05D4 \u05D1\u05BESVG \u05D0\u05D9\u05E0\u05D4 \u05DE\u05DE\u05D5\u05DE\u05E9\u05EA \u05D1\u05D0\u05D9\u05E0\u05D8\u05E8\u05E0\u05D8 \u05D0\u05E7\u05E1\u05E4\u05DC\u05D5\u05E8\u05E8 \u05DC\u05E4\u05E0\u05D9 \u05D2\u05E8\u05E1\u05D4 9 \u05D0\u05D5 \u05DB\u05D0\u05E9\u05E8 \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E4\u05D5\u05E2\u05DC \u05D1\u05DE\u05E6\u05D1 \u05EA\u05D0\u05D9\u05DE\u05D5\u05EA \u05DC\u05D2\u05E8\u05E1\u05D4 8 \u05D5\u05DE\u05D8\u05D4. \u05DE\u05E2\u05D1\u05E8 \u05DC\u05E4\u05DC\u05D8 \u05D1\u05BESVG \u05D9\u05D2\u05E8\u05D5\u05DD \u05DC\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05DE\u05EA\u05DE\u05D8\u05D9\u05D5\u05EA \u05DC\u05D0 \u05D4\u05D9\u05D5\u05EA \u05DE\u05D5\u05E6\u05D2\u05D5\u05EA \u05DB\u05E8\u05D0\u05D5\u05D9.",LoadURL:"\u05D8\u05E2\u05D9\u05E0\u05EA \u05E0\u05EA\u05D5\u05E0\u05D9 \u05EA\u05E8\u05D2\u05D5\u05DD \u05DE\u05D4\u05DB\u05EA\u05D5\u05D1\u05EA \u05D4\u05D1\u05D0\u05D4:",BadURL:"\u05D4\u05DB\u05EA\u05D5\u05D1\u05EA \u05E6\u05E8\u05D9\u05DB\u05D4 \u05DC\u05DB\u05E4\u05E0\u05D5\u05EA \u05DC\u05E7\u05D5\u05D1\u05E5 \u05D2'\u05D0\u05D5\u05D5\u05D4 \u05E1\u05E7\u05E8\u05D9\u05E4\u05D8 \u05E9\u05DE\u05D2\u05D3\u05D9\u05E8 \u05E0\u05EA\u05D5\u05E0\u05D9 \u05EA\u05E8\u05D2\u05D5\u05DD \u05E9\u05DC MathJax. \u05E7\u05D5\u05D1\u05E5 \u05D4\u05D2'\u05D0\u05D5\u05D5\u05E1 \u05E1\u05E7\u05E8\u05D9\u05E4\u05D8 \u05D0\u05DE\u05D5\u05E8 \u05DC\u05D4\u05E1\u05EA\u05D9\u05D9\u05DD \u05D1\u05BEjs.",BadData:"\u05E0\u05DB\u05E9\u05DC\u05D4 \u05D8\u05E2\u05D9\u05E0\u05EA \u05E0\u05EA\u05D5\u05E0\u05D9 \u05EA\u05E8\u05D2\u05D5\u05DD \u05DE\u05BE%1",SwitchAnyway:"\u05DC\u05E9\u05E0\u05D5\u05EA \u05D0\u05EA \u05D4\u05DE\u05E6\u05D9\u05D2 \u05D1\u05DB\u05DC \u05D6\u05D0\u05EA?\n\n(\u05D9\u05E9 \u05DC\u05DC\u05D7\u05D5\u05E5 \u05D0\u05D9\u05E9\u05D5\u05E8 \u05DC\u05DE\u05E2\u05D1\u05E8 \u05D0\u05D5 \u05D1\u05D9\u05D8\u05D5\u05DC \u05DC\u05D4\u05DE\u05E9\u05DA \u05E2\u05DD \u05D4\u05E6\u05D9\u05D2 \u05D4\u05E0\u05D5\u05DB\u05D7\u05D9)",ScaleMath:"\u05DC\u05D4\u05EA\u05D0\u05D9\u05DD \u05D0\u05EA \u05D4\u05D2\u05D5\u05D3\u05DC \u05E9\u05DC \u05DB\u05DC \u05D4\u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA (\u05D9\u05D7\u05E1\u05D9\u05EA \u05DC\u05D8\u05E7\u05E1\u05D8 \u05D4\u05E1\u05DE\u05D5\u05DA) \u05D1\u05BE:",NonZeroScale:"\u05D4\u05D2\u05D5\u05D3\u05DC \u05DC\u05D0 \u05D9\u05DB\u05D5\u05DC \u05DC\u05D4\u05D9\u05D5 \u05D0\u05E4\u05E1",PercentScale:"\u05D4\u05D2\u05D5\u05D3\u05DC \u05D0\u05DE\u05D5\u05E8 \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05D0\u05D7\u05D5\u05D6\u05D9\u05DD (\u05DC\u05DE\u05E9\u05DC 120%%)",IE8warning:"\u05D6\u05D4 \u05D9\u05DB\u05D1\u05D4 \u05D0\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 MathJax \u05D5\u05D0\u05EA \u05D0\u05E4\u05E9\u05E8\u05D5\u05D9\u05D5\u05EA \u05D4\u05E7\u05D9\u05E8\u05D5\u05D1, \u05D0\u05D1\u05DC \u05D0\u05E4\u05E9\u05E8 \u05DC\u05E2\u05E9\u05D5\u05EA \u05DC\u05D7\u05D9\u05E6\u05D4 \u05E2\u05DD Alt \u05E2\u05DC \u05D1\u05D9\u05D8\u05D5\u05D9 \u05DB\u05D3\u05D9 \u05DC\u05E7\u05D1\u05DC \u05D8\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 M\uFFFDathJax \u05D1\u05DE\u05E7\u05D5\u05DD \u05D6\u05D4.\n\n\u05D4\u05D0\u05DD \u05D1\u05D0\u05DE\u05EA \u05DC\u05E9\u05E0\u05D5\u05EA \u05D0\u05EA \u05D4\u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05E9\u05DC MathJax?",IE9warning:"\u05EA\u05E4\u05E8\u05D9\u05D8 \u05D4\u05D4\u05E7\u05E9\u05E8 \u05E9\u05DC MathJax \u05D9\u05DB\u05D5\u05D1\u05D4, \u05D0\u05D1\u05DC \u05D0\u05E4\u05E9\u05E8 \u05DC\u05E2\u05E9\u05D5\u05EA \u05DC\u05D7\u05D9\u05E6\u05D4 \u05E2\u05DD Alt \u05E2\u05DC \u05D1\u05D9\u05D8\u05D5\u05D7 \u05DB\u05D3\u05D9 \u05DC\u05E7\u05D1\u05DC \u05D0\u05EA \u05EA\u05E4\u05E8\u05D9\u05D8 MathJax.",NoOriginalForm:"\u05D4\u05E6\u05D5\u05E8\u05D4 \u05D4\u05DE\u05E7\u05D5\u05E8\u05D9\u05EA \u05D0\u05D9\u05E0\u05D4 \u05D6\u05DE\u05D9\u05E0\u05D4",Close:"\u05E1\u05D2\u05D9\u05E8\u05D4",EqSource:"\u05DE\u05E7\u05D5\u05E8 \u05D4\u05DE\u05E9\u05D5\u05D5\u05D0\u05D4 \u05E9\u05DC MathJax",CloseAboutDialog:"\u05E1\u05D2\u05D9\u05E8\u05EA \u05D7\u05DC\u05D5\u05DF \u05D3\u05D5\u05BE\u05E9\u05D9\u05D7 \u05D0\u05D5\u05D3\u05D5\u05EA MathJax",FastPreview:"\u05EA\u05E6\u05D5\u05D2\u05D4 \u05DE\u05E7\u05D3\u05D9\u05DE\u05D4 \u05DE\u05D4\u05D9\u05E8\u05D4",AssistiveMML:"MathML \u05E0\u05D2\u05D9\u05E9",InTabOrder:"\u05DC\u05DB\u05DC\u05D5\u05DC \u05D1\u05E1\u05D3\u05E8 \u05D4\u05D8\u05D0\u05D1\u05D9\u05DD"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/MathMenu.js");
diff --git a/localization/he/TeX.js b/localization/he/TeX.js
index f8b7037773..23a2bb1051 100644
--- a/localization/he/TeX.js
+++ b/localization/he/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/he/TeX.js
+ *  /MathJax-v2/localization/he/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05D7\u05E1\u05E8",ExtraCloseMissingOpen:"\u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05D7\u05E1\u05E8",MissingLeftExtraRight:"\u05D7\u05D5\u05E7 \u200E\\left \u05D7\u05E1\u05E8 \u05D0\u05D5 \u05D7\u05D5\u05E7 \u200E\\right \u05DE\u05D9\u05D5\u05EA\u05E8",MissingScript:"\u05D7\u05E1\u05E8 \u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DB\u05EA\u05D1 \u05E2\u05D9\u05DC\u05D9 \u05D0\u05D5 \u05DB\u05EA\u05D1 \u05EA\u05D7\u05EA\u05D9",ExtraLeftMissingRight:"\u200E\\left \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05D7\u05D5\u05E7 \u200E\\right \u05D7\u05E1\u05E8",Misplaced:"%1 \u05D1\u05DE\u05E7\u05D5\u05DD \u05E9\u05D2\u05D5\u05D9",MissingOpenForSub:"\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05D7\u05E1\u05E8 \u05DC\u05DB\u05EA\u05D1 \u05EA\u05D7\u05EA\u05D9",MissingOpenForSup:"\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05D7\u05E1\u05E8 \u05DC\u05DB\u05EA\u05D1 \u05E2\u05D9\u05DC\u05D9",AmbiguousUseOf:"\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D3\u05D5\u05BE\u05DE\u05E9\u05DE\u05E2\u05D9 \u05D1\u05BE\u200E%1",EnvBadEnd:"\u200E\\begin{%1}\u200E \u05D4\u05E1\u05EA\u05D9\u05D9\u05DD \u05D1\u05BE\u200E\\end{%2}\u200E",EnvMissingEnd:"\u200E\\end{%1}\u200E \u05D7\u05E1\u05E8",MissingBoxFor:"\u05D7\u05E1\u05E8\u05D4 \u05EA\u05D9\u05D1\u05D4 \u05E2\u05D1\u05D5\u05E8 %1",MissingCloseBrace:"\u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05D7\u05E1\u05E8",UndefinedControlSequence:"\u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05DE\u05D5\u05D2\u05D3\u05E8 %1",DoubleExponent:"\u05DE\u05E2\u05E8\u05D9\u05DA \u05DB\u05E4\u05D5\u05DC: \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05DC\u05D4\u05D1\u05D4\u05E8\u05D4",DoubleSubscripts:"\u05DB\u05EA\u05D1 \u05EA\u05D7\u05EA\u05D9 \u05DB\u05E4\u05D5\u05DC: \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05DC\u05D4\u05D1\u05D4\u05E8\u05D4",DoubleExponentPrime:"\u05EA\u05D2 \u05D2\u05D5\u05E8\u05DD \u05DC\u05DE\u05E2\u05E8\u05D9\u05DA \u05DB\u05E4\u05D5\u05DC; \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05DC\u05D4\u05D1\u05D4\u05E8\u05D4",CantUseHash1:'\u05DC\u05D0 \u05E0\u05D9\u05EA\u05DF \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1"\u05EA\u05D5 \u05DE\u05E7\u05E8\u05D5 \u05E4\u05E8\u05DE\u05D8\u05E8 #" \u05D1\u05DE\u05E6\u05D1 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4',MisplacedMiddle:"\u05E2\u05DC \u200E%1 \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05D9\u05DF \u200E\\left \u05DC\u05BE\u200E\\right",MisplacedLimits:"\u05DE\u05D5\u05EA\u05E8 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05BE\u200E%1 \u05E8\u05E7 \u05D1\u05D0\u05D5\u05E4\u05E8\u05D8\u05D5\u05E8\u05D9\u05DD",MisplacedMoveRoot:"\u05E2\u05DC \u200E%1 \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05EA\u05D5\u05DA \u05E9\u05D5\u05E8\u05E9",MultipleCommand:"\u05DE\u05E1\u05E4\u05E8 \u05DE\u05E8\u05D5\u05D1\u05D4 \u05E9\u05DC \u200E%1",IntegerArg:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05E1\u05E4\u05E8 \u05E9\u05DC\u05DD",NotMathMLToken:"%1 \u05D0\u05D9\u05E0\u05D5 \u05D0\u05DC\u05DE\u05E0\u05D8 token \u05EA\u05E7\u05D9\u05DF",InvalidMathMLAttr:"\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF MathML \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF: %1",UnknownAttrForElement:"\u05D4\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF %1 \u05D0\u05D9\u05E0\u05D5 \u05DE\u05D5\u05BC\u05DB\u05E8 \u05D1\u05EA\u05D5\u05E8 \u05DE\u05D0\u05E4\u05D9\u05D9\u05DF \u05E9\u05DC %2",MaxMacroSub1:"\u05DE\u05E1\u05E4\u05E8 \u05E8\u05D1 \u05DE\u05D3\u05D9 \u05E9\u05DC \u05D4\u05D7\u05DC\u05E4\u05D5\u05EA \u05D4\u05DE\u05E7\u05E8\u05D5 \u05D1\u05BEMathJax; \u05D4\u05D0\u05DD \u05D9\u05E9 \u05E7\u05E8\u05D9\u05D0\u05D4 \u05E8\u05E7\u05D5\u05E8\u05E1\u05D9\u05D1\u05D9\u05EA \u05DC\u05DE\u05E7\u05E8\u05D5?",MaxMacroSub2:"\u05DE\u05E1\u05E4\u05E8 \u05E8\u05D1 \u05DE\u05D3\u05D9 \u05E9\u05DC \u05D4\u05D4\u05D7\u05DC\u05E4\u05D5\u05EA \u05D1\u05BEMathJax; \u05D4\u05D0\u05DD \u05D9\u05E9 \u05E1\u05D1\u05D9\u05D1\u05EA LaTeX \u05E8\u05E7\u05D5\u05E8\u05E1\u05D9\u05D1\u05D9\u05EA?",MissingArgFor:"\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D7\u05E1\u05E8 \u05E2\u05D1\u05D5\u05E8 \u05C2%1",ExtraAlignTab:"\u05D8\u05D0\u05D1 \u05D9\u05D9\u05E9\u05D5\u05E8 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D1\u05D8\u05E7\u05E1\u05D8 \u05D1\u05BE\u200E\\cases",BracketMustBeDimension:"\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05D1\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05DE\u05D3",InvalidEnv:"\u05E9\u05DD \u05E1\u05D1\u05D9\u05D1\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF '%1'",UnknownEnv:"\u05E1\u05D1\u05D9\u05D1\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05D9\u05D3\u05D5\u05E2\u05D4 '%1'",ExtraCloseLooking:"\u05E0\u05DE\u05E6\u05D0 \u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D1\u05E2\u05EA \u05D7\u05D9\u05E4\u05D5\u05E9 \u05D0\u05D7\u05E8 %1",MissingCloseBracket:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 '\u202A]\u202C' \u05DE\u05E1\u05D9\u05D9\u05DD \u05E2\u05D1\u05D5\u05E8 \u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DC\u05BE\u200E%1",MissingOrUnrecognizedDelim:"\u05EA\u05D5\u05D7\u05DD \u05D7\u05E1\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05DE\u05D5\u05BC\u05DB\u05E8 \u05E2\u05D1\u05D5\u05E8 \u200E%1",MissingDimOrUnits:"\u05D7\u05E1\u05E8 \u05DE\u05DE\u05D3 \u05D0\u05D5 \u05D9\u05D7\u05D9\u05D3\u05D5\u05EA \u05E2\u05D1\u05D5\u05E8 \u200E%1",TokenNotFoundForCommand:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 %1 \u05E2\u05D1\u05D5\u05E8 %2",MathNotTerminated:"\u05E0\u05D5\u05E1\u05D7\u05D4 \u05DE\u05EA\u05DE\u05D8\u05D9\u05EA \u05DC\u05D0 \u05D2\u05DE\u05D5\u05E8\u05D4 \u05D1\u05EA\u05D9\u05D1\u05EA \u05D4\u05D8\u05E7\u05E1\u05D8",IllegalMacroParam:"\u05D4\u05E4\u05E0\u05D9\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05E0\u05D4 \u05DC\u05E4\u05E8\u05DE\u05D8\u05E8 \u05E9\u05DC \u05DE\u05E7\u05E8\u05D5",MaxBufferSize:"\u05DE\u05D0\u05D2\u05E8 MathJax \u05E4\u05E0\u05D9\u05DE\u05D9 \u05D2\u05D3\u05D5\u05DC \u05DE\u05D3\u05D9; \u05D4\u05D0\u05DD \u05D9\u05E9 \u05DB\u05D0\u05DF \u05E7\u05E8\u05D9\u05D0\u05EA \u05DE\u05E7\u05E8\u05D5 \u05E8\u05E7\u05D5\u05E8\u05E1\u05D9\u05D1\u05D9\u05EA?",CommandNotAllowedInEnv:"\u200E%1 \u05D0\u05D9\u05E0\u05D5 \u05DE\u05D5\u05E8\u05E9\u05D4 \u05D1\u05E1\u05D1\u05D9\u05D1\u05D4 %2",MultipleLabel:"\u05D4\u05EA\u05D5\u05D5\u05D9\u05EA '%1' \u05DE\u05D5\u05D2\u05D3\u05E8\u05EA \u05DE\u05E1\u05E4\u05E8 \u05E4\u05E2\u05DE\u05D9\u05DD",CommandAtTheBeginingOfLine:"\u05D4\u05DE\u05E7\u05E8\u05D5 %1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05DB\u05EA\u05D1 \u05D1\u05EA\u05D7\u05D9\u05DC\u05EA \u05D4\u05E9\u05D5\u05E8\u05D4",IllegalAlign:"\u05D9\u05D9\u05E9\u05D5\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05D4\u05D5\u05D2\u05D3\u05E8 \u05D1\u05BE\u200E%1",BadMathStyleFor:"\u05E1\u05D2\u05E0\u05D5\u05DF \u05E0\u05D5\u05E1\u05D7\u05D4 \u05D2\u05E8\u05D5\u05E2 \u05E2\u05D1\u05D5\u05E8 \u200E%1",PositiveIntegerArg:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05E9\u05DC\u05DD \u05D7\u05D9\u05D5\u05D1\u05D9",ErroneousNestingEq:"\u05E7\u05D9\u05E0\u05D5\u05DF \u05E9\u05D2\u05D5\u05D9 \u05E9\u05DC \u05DE\u05D1\u05E0\u05D9 \u05DE\u05E9\u05D5\u05D5\u05D0\u05D4",MultlineRowsOneCol:"\u05DC\u05E9\u05D5\u05E8\u05D5\u05EA \u05D1\u05EA\u05D5\u05DA \u05D4\u05E1\u05D1\u05D9\u05D1\u05D4 %1 \u05E6\u05E8\u05D9\u05DB\u05D4 \u05DC\u05D4\u05D9\u05D5\u05EA \u05E8\u05E7 \u05E2\u05DE\u05D5\u05D3\u05D4 \u05D0\u05D7\u05EA",MultipleBBoxProperty:"\u05D4\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF %1 \u05D4\u05D5\u05D2\u05D3\u05E8 \u05E4\u05E2\u05DE\u05D9\u05D9\u05DD \u05D1\u05BE\u200E%2",InvalidBBoxProperty:"\u05D4\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF '%1' \u05D0\u05D9\u05E0\u05D5 \u05E0\u05E8\u05D0\u05D4 \u05DB\u05DE\u05D5 \u05E6\u05D1\u05E2, \u05DE\u05DE\u05D3 \u05D3\u05D9\u05E4\u05D5\u05DF \u05D0\u05D5 \u05E1\u05D2\u05E0\u05D5\u05DF",ExtraEndMissingBegin:"\u05E0\u05DE\u05E6\u05D0 \u200E%1 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u200E\\begingroup \u05D7\u05E1\u05E8",GlobalNotFollowedBy:"\u200E%1 \u05E9\u05D0\u05D9\u05DF \u05D0\u05D7\u05E8\u05D9\u05D5 \u200E\\let\u200F, \u200E\\def \u05D0\u05D5 \u200E\\newcommand",UndefinedColorModel:"\u05D3\u05D2\u05DD \u05D4\u05E6\u05D1\u05E2 '%1' \u05D0\u05D9\u05E0\u05D5 \u05DE\u05D5\u05D2\u05D3\u05E8",ModelArg1:"\u05E2\u05E8\u05DB\u05D9 \u05E6\u05D1\u05E2 \u05E2\u05D1\u05D5\u05E8 \u05D4\u05D3\u05D2\u05DD %1 \u05D3\u05D5\u05E8\u05E9\u05D9\u05DD 3 \u05DE\u05E1\u05E4\u05E8\u05D9\u05DD",InvalidDecimalNumber:"\u05DE\u05E1\u05E4\u05E8 \u05E2\u05E9\u05E8\u05D5\u05E0\u05D9 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF",ModelArg2:"\u05E2\u05E8\u05DB\u05D9 \u05E6\u05D1\u05E2 \u05E2\u05D1\u05D5\u05E8 \u05D3\u05D2\u05DD %1 \u05E6\u05E8\u05D9\u05DB\u05D9\u05DD \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05D9\u05DF %2 \u05DC\u05D1\u05D9\u05DF %3",InvalidNumber:"\u05DE\u05E1\u05E4\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF",NewextarrowArg1:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D4\u05E8\u05D0\u05E9\u05D5\u05DF \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05E9\u05DD \u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4",NewextarrowArg2:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D4\u05E9\u05E0\u05D9 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05E9\u05E0\u05D9 \u05DE\u05E1\u05E4\u05E8\u05D9\u05DD \u05E9\u05DC\u05DE\u05D9\u05DD \u05DE\u05D5\u05E4\u05E8\u05D3\u05D9\u05DD \u05D1\u05E4\u05E1\u05D9\u05E7",NewextarrowArg3:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D4\u05E9\u05DC\u05D9\u05E9\u05D9 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05E1\u05E4\u05E8 \u05EA\u05D5 \u05D9\u05D5\u05E0\u05D9\u05E7\u05D5\u05D3",NoClosingChar:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 %1 \u05DE\u05E1\u05D9\u05D9\u05DD",IllegalControlSequenceName:"\u05E9\u05DD \u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05E2\u05D1\u05D5\u05E8 \u200E%1",IllegalParamNumber:"\u05DE\u05E1\u05E4\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05E9\u05DC \u05E4\u05E8\u05DE\u05D8\u05E8\u05D9\u05DD \u05D4\u05D5\u05D2\u05D3\u05E8 \u05D1\u05BE\u200E%1",MissingCS:"\u05D0\u05D7\u05E8\u05D9 \u200E%1 \u05D9\u05E9 \u05DC\u05DB\u05EA\u05D5\u05D1 \u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4",CantUseHash2:"\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05D1\u05BE# \u05D1\u05EA\u05D1\u05E0\u05D9\u05EA \u05E2\u05D1\u05D5\u05E8 %1",SequentialParam:"\u05D4\u05E4\u05E8\u05DE\u05D8\u05E8\u05D9\u05DD \u05E2\u05D1\u05D5\u05E8 %1 \u05E6\u05E8\u05D9\u05DB\u05D9\u05DD \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05DE\u05D5\u05E1\u05E4\u05E8\u05D9\u05DD \u05D1\u05E8\u05E6\u05E3",MissingReplacementString:"\u05DE\u05D7\u05E8\u05D5\u05D6\u05EA \u05D4\u05D7\u05DC\u05E4\u05D4 \u05D7\u05E1\u05E8\u05D4 \u05E2\u05D1\u05D5\u05E8 \u05D4\u05D4\u05D2\u05D3\u05E8\u05D4 \u05E9\u05DC \u200E%1",MismatchUseDef:"\u05D4\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1\u05BE\u200E%1 \u05D0\u05D9\u05E0\u05D5 \u05EA\u05D5\u05D0\u05DD \u05DC\u05D4\u05D2\u05D3\u05E8\u05D4 \u05E9\u05DC\u05D5",RunawayArgument:"\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D1\u05E8\u05D7 \u05DE\u05BE\u200E%1?",NoClosingDelim:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 \u05EA\u05D5\u05D7\u05DD \u05DE\u05E1\u05D9\u05D9\u05DD \u05E2\u05D1\u05D5\u05E8 \u200E%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/TeX.js");
+MathJax.Localization.addTranslation("he","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05D7\u05E1\u05E8",ExtraCloseMissingOpen:"\u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05D7\u05E1\u05E8",MissingLeftExtraRight:"\u05D7\u05D5\u05E7 \u200E\\left \u05D7\u05E1\u05E8 \u05D0\u05D5 \u05D7\u05D5\u05E7 \u200E\\right \u05DE\u05D9\u05D5\u05EA\u05E8",MissingScript:"\u05D7\u05E1\u05E8 \u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DB\u05EA\u05D1 \u05E2\u05D9\u05DC\u05D9 \u05D0\u05D5 \u05DB\u05EA\u05D1 \u05EA\u05D7\u05EA\u05D9",ExtraLeftMissingRight:"\u200E\\left \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05D7\u05D5\u05E7 \u200E\\right \u05D7\u05E1\u05E8",Misplaced:"%1 \u05D1\u05DE\u05E7\u05D5\u05DD \u05E9\u05D2\u05D5\u05D9",MissingOpenForSub:"\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05D7\u05E1\u05E8 \u05DC\u05DB\u05EA\u05D1 \u05EA\u05D7\u05EA\u05D9",MissingOpenForSup:"\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05D7\u05E1\u05E8 \u05DC\u05DB\u05EA\u05D1 \u05E2\u05D9\u05DC\u05D9",AmbiguousUseOf:"\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D3\u05D5\u05BE\u05DE\u05E9\u05DE\u05E2\u05D9 \u05D1\u05BE\u200E%1",EnvBadEnd:"\u200E\\begin{%1}\u200E \u05D4\u05E1\u05EA\u05D9\u05D9\u05DD \u05D1\u05BE\u200E\\end{%2}\u200E",EnvMissingEnd:"\u200E\\end{%1}\u200E \u05D7\u05E1\u05E8",MissingBoxFor:"\u05D7\u05E1\u05E8\u05D4 \u05EA\u05D9\u05D1\u05D4 \u05E2\u05D1\u05D5\u05E8 %1",MissingCloseBrace:"\u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05D7\u05E1\u05E8",UndefinedControlSequence:"\u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05DE\u05D5\u05D2\u05D3\u05E8 %1",DoubleExponent:"\u05DE\u05E2\u05E8\u05D9\u05DA \u05DB\u05E4\u05D5\u05DC: \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05DC\u05D4\u05D1\u05D4\u05E8\u05D4",DoubleSubscripts:"\u05DB\u05EA\u05D1 \u05EA\u05D7\u05EA\u05D9 \u05DB\u05E4\u05D5\u05DC: \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05DC\u05D4\u05D1\u05D4\u05E8\u05D4",DoubleExponentPrime:"\u05EA\u05D2 \u05D2\u05D5\u05E8\u05DD \u05DC\u05DE\u05E2\u05E8\u05D9\u05DA \u05DB\u05E4\u05D5\u05DC; \u05D9\u05E9 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05DC\u05D4\u05D1\u05D4\u05E8\u05D4",CantUseHash1:'\u05DC\u05D0 \u05E0\u05D9\u05EA\u05DF \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1"\u05EA\u05D5 \u05DE\u05E7\u05E8\u05D5 \u05E4\u05E8\u05DE\u05D8\u05E8 #" \u05D1\u05DE\u05E6\u05D1 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4',MisplacedMiddle:"\u05E2\u05DC \u200E%1 \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05D9\u05DF \u200E\\left \u05DC\u05BE\u200E\\right",MisplacedLimits:"\u05DE\u05D5\u05EA\u05E8 \u05DC\u05D4\u05E9\u05EA\u05DE\u05E9 \u05D1\u05BE\u200E%1 \u05E8\u05E7 \u05D1\u05D0\u05D5\u05E4\u05E8\u05D8\u05D5\u05E8\u05D9\u05DD",MisplacedMoveRoot:"\u05E2\u05DC \u200E%1 \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05EA\u05D5\u05DA \u05E9\u05D5\u05E8\u05E9",MultipleCommand:"\u05DE\u05E1\u05E4\u05E8 \u05DE\u05E8\u05D5\u05D1\u05D4 \u05E9\u05DC \u200E%1",IntegerArg:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05E1\u05E4\u05E8 \u05E9\u05DC\u05DD",NotMathMLToken:"%1 \u05D0\u05D9\u05E0\u05D5 \u05D0\u05DC\u05DE\u05E0\u05D8 token \u05EA\u05E7\u05D9\u05DF",InvalidMathMLAttr:"\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF MathML \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF: %1",UnknownAttrForElement:"\u05D4\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF %1 \u05D0\u05D9\u05E0\u05D5 \u05DE\u05D5\u05BC\u05DB\u05E8 \u05D1\u05EA\u05D5\u05E8 \u05DE\u05D0\u05E4\u05D9\u05D9\u05DF \u05E9\u05DC %2",MaxMacroSub1:"\u05DE\u05E1\u05E4\u05E8 \u05E8\u05D1 \u05DE\u05D3\u05D9 \u05E9\u05DC \u05D4\u05D7\u05DC\u05E4\u05D5\u05EA \u05D4\u05DE\u05E7\u05E8\u05D5 \u05D1\u05BEMathJax; \u05D4\u05D0\u05DD \u05D9\u05E9 \u05E7\u05E8\u05D9\u05D0\u05D4 \u05E8\u05E7\u05D5\u05E8\u05E1\u05D9\u05D1\u05D9\u05EA \u05DC\u05DE\u05E7\u05E8\u05D5?",MaxMacroSub2:"\u05DE\u05E1\u05E4\u05E8 \u05E8\u05D1 \u05DE\u05D3\u05D9 \u05E9\u05DC \u05D4\u05D4\u05D7\u05DC\u05E4\u05D5\u05EA \u05D1\u05BEMathJax; \u05D4\u05D0\u05DD \u05D9\u05E9 \u05E1\u05D1\u05D9\u05D1\u05EA LaTeX \u05E8\u05E7\u05D5\u05E8\u05E1\u05D9\u05D1\u05D9\u05EA?",MissingArgFor:"\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D7\u05E1\u05E8 \u05E2\u05D1\u05D5\u05E8 \u05C2%1",ExtraAlignTab:"\u05D8\u05D0\u05D1 \u05D9\u05D9\u05E9\u05D5\u05E8 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D1\u05D8\u05E7\u05E1\u05D8 \u05D1\u05BE\u200E\\cases",BracketMustBeDimension:"\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D1\u05E1\u05D5\u05D2\u05E8\u05D9\u05D9\u05DD \u05D1\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05DE\u05D3",InvalidEnv:"\u05E9\u05DD \u05E1\u05D1\u05D9\u05D1\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF '%1'",UnknownEnv:"\u05E1\u05D1\u05D9\u05D1\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05D9\u05D3\u05D5\u05E2\u05D4 '%1'",ExtraCloseLooking:"\u05E0\u05DE\u05E6\u05D0 \u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D1\u05E2\u05EA \u05D7\u05D9\u05E4\u05D5\u05E9 \u05D0\u05D7\u05E8 %1",MissingCloseBracket:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 '\u202A]\u202C' \u05DE\u05E1\u05D9\u05D9\u05DD \u05E2\u05D1\u05D5\u05E8 \u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DC\u05BE\u200E%1",MissingOrUnrecognizedDelim:"\u05EA\u05D5\u05D7\u05DD \u05D7\u05E1\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05DE\u05D5\u05BC\u05DB\u05E8 \u05E2\u05D1\u05D5\u05E8 \u200E%1",MissingDimOrUnits:"\u05D7\u05E1\u05E8 \u05DE\u05DE\u05D3 \u05D0\u05D5 \u05D9\u05D7\u05D9\u05D3\u05D5\u05EA \u05E2\u05D1\u05D5\u05E8 \u200E%1",TokenNotFoundForCommand:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 %1 \u05E2\u05D1\u05D5\u05E8 %2",MathNotTerminated:"\u05E0\u05D5\u05E1\u05D7\u05D4 \u05DE\u05EA\u05DE\u05D8\u05D9\u05EA \u05DC\u05D0 \u05D2\u05DE\u05D5\u05E8\u05D4 \u05D1\u05EA\u05D9\u05D1\u05EA \u05D4\u05D8\u05E7\u05E1\u05D8",IllegalMacroParam:"\u05D4\u05E4\u05E0\u05D9\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05E0\u05D4 \u05DC\u05E4\u05E8\u05DE\u05D8\u05E8 \u05E9\u05DC \u05DE\u05E7\u05E8\u05D5",MaxBufferSize:"\u05DE\u05D0\u05D2\u05E8 MathJax \u05E4\u05E0\u05D9\u05DE\u05D9 \u05D2\u05D3\u05D5\u05DC \u05DE\u05D3\u05D9; \u05D4\u05D0\u05DD \u05D9\u05E9 \u05DB\u05D0\u05DF \u05E7\u05E8\u05D9\u05D0\u05EA \u05DE\u05E7\u05E8\u05D5 \u05E8\u05E7\u05D5\u05E8\u05E1\u05D9\u05D1\u05D9\u05EA?",CommandNotAllowedInEnv:"\u200E%1 \u05D0\u05D9\u05E0\u05D5 \u05DE\u05D5\u05E8\u05E9\u05D4 \u05D1\u05E1\u05D1\u05D9\u05D1\u05D4 %2",MultipleLabel:"\u05D4\u05EA\u05D5\u05D5\u05D9\u05EA '%1' \u05DE\u05D5\u05D2\u05D3\u05E8\u05EA \u05DE\u05E1\u05E4\u05E8 \u05E4\u05E2\u05DE\u05D9\u05DD",CommandAtTheBeginingOfLine:"\u05D4\u05DE\u05E7\u05E8\u05D5 %1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05DB\u05EA\u05D1 \u05D1\u05EA\u05D7\u05D9\u05DC\u05EA \u05D4\u05E9\u05D5\u05E8\u05D4",IllegalAlign:"\u05D9\u05D9\u05E9\u05D5\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05D4\u05D5\u05D2\u05D3\u05E8 \u05D1\u05BE\u200E%1",BadMathStyleFor:"\u05E1\u05D2\u05E0\u05D5\u05DF \u05E0\u05D5\u05E1\u05D7\u05D4 \u05D2\u05E8\u05D5\u05E2 \u05E2\u05D1\u05D5\u05E8 \u200E%1",PositiveIntegerArg:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05E9\u05DC\u05DD \u05D7\u05D9\u05D5\u05D1\u05D9",ErroneousNestingEq:"\u05E7\u05D9\u05E0\u05D5\u05DF \u05E9\u05D2\u05D5\u05D9 \u05E9\u05DC \u05DE\u05D1\u05E0\u05D9 \u05DE\u05E9\u05D5\u05D5\u05D0\u05D4",MultlineRowsOneCol:"\u05DC\u05E9\u05D5\u05E8\u05D5\u05EA \u05D1\u05EA\u05D5\u05DA \u05D4\u05E1\u05D1\u05D9\u05D1\u05D4 %1 \u05E6\u05E8\u05D9\u05DB\u05D4 \u05DC\u05D4\u05D9\u05D5\u05EA \u05E8\u05E7 \u05E2\u05DE\u05D5\u05D3\u05D4 \u05D0\u05D7\u05EA",MultipleBBoxProperty:"\u05D4\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF %1 \u05D4\u05D5\u05D2\u05D3\u05E8 \u05E4\u05E2\u05DE\u05D9\u05D9\u05DD \u05D1\u05BE\u200E%2",InvalidBBoxProperty:"\u05D4\u05DE\u05D0\u05E4\u05D9\u05D9\u05DF '%1' \u05D0\u05D9\u05E0\u05D5 \u05E0\u05E8\u05D0\u05D4 \u05DB\u05DE\u05D5 \u05E6\u05D1\u05E2, \u05DE\u05DE\u05D3 \u05D3\u05D9\u05E4\u05D5\u05DF \u05D0\u05D5 \u05E1\u05D2\u05E0\u05D5\u05DF",ExtraEndMissingBegin:"\u05E0\u05DE\u05E6\u05D0 \u200E%1 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u200E\\begingroup \u05D7\u05E1\u05E8",GlobalNotFollowedBy:"\u200E%1 \u05E9\u05D0\u05D9\u05DF \u05D0\u05D7\u05E8\u05D9\u05D5 \u200E\\let\u200F, \u200E\\def \u05D0\u05D5 \u200E\\newcommand",UndefinedColorModel:"\u05D3\u05D2\u05DD \u05D4\u05E6\u05D1\u05E2 '%1' \u05D0\u05D9\u05E0\u05D5 \u05DE\u05D5\u05D2\u05D3\u05E8",ModelArg1:"\u05E2\u05E8\u05DB\u05D9 \u05E6\u05D1\u05E2 \u05E2\u05D1\u05D5\u05E8 \u05D4\u05D3\u05D2\u05DD %1 \u05D3\u05D5\u05E8\u05E9\u05D9\u05DD 3 \u05DE\u05E1\u05E4\u05E8\u05D9\u05DD",InvalidDecimalNumber:"\u05DE\u05E1\u05E4\u05E8 \u05E2\u05E9\u05E8\u05D5\u05E0\u05D9 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF",ModelArg2:"\u05E2\u05E8\u05DB\u05D9 \u05E6\u05D1\u05E2 \u05E2\u05D1\u05D5\u05E8 \u05D3\u05D2\u05DD %1 \u05E6\u05E8\u05D9\u05DB\u05D9\u05DD \u05DC\u05D4\u05D9\u05D5\u05EA \u05D1\u05D9\u05DF %2 \u05DC\u05D1\u05D9\u05DF %3",InvalidNumber:"\u05DE\u05E1\u05E4\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF",NewextarrowArg1:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D4\u05E8\u05D0\u05E9\u05D5\u05DF \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05E9\u05DD \u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4",NewextarrowArg2:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D4\u05E9\u05E0\u05D9 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05E9\u05E0\u05D9 \u05DE\u05E1\u05E4\u05E8\u05D9\u05DD \u05E9\u05DC\u05DE\u05D9\u05DD \u05DE\u05D5\u05E4\u05E8\u05D3\u05D9\u05DD \u05D1\u05E4\u05E1\u05D9\u05E7",NewextarrowArg3:"\u05D4\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D4\u05E9\u05DC\u05D9\u05E9\u05D9 \u05DC\u05BE\u200E%1 \u05E6\u05E8\u05D9\u05DA \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05E1\u05E4\u05E8 \u05EA\u05D5 \u05D9\u05D5\u05E0\u05D9\u05E7\u05D5\u05D3",NoClosingChar:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 %1 \u05DE\u05E1\u05D9\u05D9\u05DD",IllegalControlSequenceName:"\u05E9\u05DD \u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05E2\u05D1\u05D5\u05E8 \u200E%1",IllegalParamNumber:"\u05DE\u05E1\u05E4\u05E8 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05E9\u05DC \u05E4\u05E8\u05DE\u05D8\u05E8\u05D9\u05DD \u05D4\u05D5\u05D2\u05D3\u05E8 \u05D1\u05BE\u200E%1",MissingCS:"\u05D0\u05D7\u05E8\u05D9 \u200E%1 \u05D9\u05E9 \u05DC\u05DB\u05EA\u05D5\u05D1 \u05E8\u05E6\u05E3 \u05D1\u05E7\u05E8\u05D4",CantUseHash2:"\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1\u05DC\u05EA\u05D9\u05BE\u05EA\u05E7\u05D9\u05DF \u05D1\u05BE# \u05D1\u05EA\u05D1\u05E0\u05D9\u05EA \u05E2\u05D1\u05D5\u05E8 %1",SequentialParam:"\u05D4\u05E4\u05E8\u05DE\u05D8\u05E8\u05D9\u05DD \u05E2\u05D1\u05D5\u05E8 %1 \u05E6\u05E8\u05D9\u05DB\u05D9\u05DD \u05DC\u05D4\u05D9\u05D5\u05EA \u05DE\u05DE\u05D5\u05E1\u05E4\u05E8\u05D9\u05DD \u05D1\u05E8\u05E6\u05E3",MissingReplacementString:"\u05DE\u05D7\u05E8\u05D5\u05D6\u05EA \u05D4\u05D7\u05DC\u05E4\u05D4 \u05D7\u05E1\u05E8\u05D4 \u05E2\u05D1\u05D5\u05E8 \u05D4\u05D4\u05D2\u05D3\u05E8\u05D4 \u05E9\u05DC \u200E%1",MismatchUseDef:"\u05D4\u05E9\u05D9\u05DE\u05D5\u05E9 \u05D1\u05BE\u200E%1 \u05D0\u05D9\u05E0\u05D5 \u05EA\u05D5\u05D0\u05DD \u05DC\u05D4\u05D2\u05D3\u05E8\u05D4 \u05E9\u05DC\u05D5",RunawayArgument:"\u05D0\u05E8\u05D2\u05D5\u05DE\u05E0\u05D8 \u05D1\u05E8\u05D7 \u05DE\u05BE\u200E%1?",NoClosingDelim:"\u05DC\u05D0 \u05E0\u05DE\u05E6\u05D0 \u05EA\u05D5\u05D7\u05DD \u05DE\u05E1\u05D9\u05D9\u05DD \u05E2\u05D1\u05D5\u05E8 \u200E%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/TeX.js");
diff --git a/localization/he/he.js b/localization/he/he.js
index 3c0a6531f8..29aff1fb5e 100644
--- a/localization/he/he.js
+++ b/localization/he/he.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/he/he.js
+ *  /MathJax-v2/localization/he/he.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("he",null,{menuTitle:"\u05E2\u05D1\u05E8\u05D9\u05EA",fontDirection:"rtl",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:'MathJax \u05DE\u05E6\u05D0 \u05E2\u05D5\u05D2\u05D9\u05D9\u05EA \u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05DE\u05E9\u05EA\u05DE\u05E9 \u05E9\u05DB\u05D5\u05DC\u05DC\u05EA \u05E7\u05D5\u05D3 \u05DC\u05D4\u05E8\u05E6\u05D4. \u05D4\u05D0\u05DD \u05DC\u05D4\u05E8\u05D9\u05E5 \u05D0\u05D5\u05EA\u05D5?\n\n(\u05D9\u05E9 \u05DC\u05DC\u05D7\u05D5\u05E5 "\u05D1\u05D9\u05D8\u05D5\u05DC" \u05D0\u05DC\u05D0 \u05D0\u05DD \u05D4\u05D2\u05D3\u05E8\u05EA \u05D0\u05EA \u05D4\u05E2\u05D5\u05D2\u05D9\u05D9\u05D4 \u05D1\u05E2\u05E6\u05DE\u05DA.)',MathProcessingError:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E2\u05D9\u05D1\u05D5\u05D3 \u05E0\u05D5\u05E1\u05D7\u05D4",MathError:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E0\u05D5\u05E1\u05D7\u05D4",LoadFile:"\u05D8\u05E2\u05D9\u05E0\u05EA %1",Loading:"\u05D8\u05E2\u05D9\u05E0\u05D4",LoadFailed:"\u05D4\u05E7\u05D5\u05D1\u05E5 \u05DC\u05D0 \u05E0\u05D8\u05E2\u05DF: %1",ProcessMath:"\u05E2\u05D9\u05D1\u05D5\u05D3 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA: %1%%",Processing:"\u05E2\u05D9\u05D1\u05D5\u05D3",TypesetMath:"\u05E1\u05D3\u05B7\u05E8 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA: %1%%",Typesetting:"\u05E1\u05D3\u05B7\u05E8",MathJaxNotSupported:"\u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D0\u05D9\u05E0\u05D5 \u05EA\u05D5\u05DE\u05DA \u05D1\u05BEMathJax",ErrorTips:"\u05E2\u05E6\u05D5\u05EA \u05DC\u05EA\u05D9\u05E7\u05D5\u05DF \u05E9\u05D2\u05D9\u05D0\u05D5\u05EA: \u05D4\u05E9\u05EA\u05DE\u05E9\u05D5 \u05D1\u05BE%%1, \u05D1\u05D3\u05E7\u05D5 \u05D0\u05EA %%2 \u05D1\u05DE\u05E1\u05D5\u05E3 \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}if(a===2){return 2}if(a!==0&&a%10!==0){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/he.js");
+MathJax.Localization.addTranslation("he",null,{menuTitle:"\u05E2\u05D1\u05E8\u05D9\u05EA",fontDirection:"rtl",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:'MathJax \u05DE\u05E6\u05D0 \u05E2\u05D5\u05D2\u05D9\u05D9\u05EA \u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05DE\u05E9\u05EA\u05DE\u05E9 \u05E9\u05DB\u05D5\u05DC\u05DC\u05EA \u05E7\u05D5\u05D3 \u05DC\u05D4\u05E8\u05E6\u05D4. \u05D4\u05D0\u05DD \u05DC\u05D4\u05E8\u05D9\u05E5 \u05D0\u05D5\u05EA\u05D5?\n\n(\u05D9\u05E9 \u05DC\u05DC\u05D7\u05D5\u05E5 "\u05D1\u05D9\u05D8\u05D5\u05DC" \u05D0\u05DC\u05D0 \u05D0\u05DD \u05D4\u05D2\u05D3\u05E8\u05EA \u05D0\u05EA \u05D4\u05E2\u05D5\u05D2\u05D9\u05D9\u05D4 \u05D1\u05E2\u05E6\u05DE\u05DA.)',MathProcessingError:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E2\u05D9\u05D1\u05D5\u05D3 \u05E0\u05D5\u05E1\u05D7\u05D4",MathError:"\u05E9\u05D2\u05D9\u05D0\u05D4 \u05D1\u05E0\u05D5\u05E1\u05D7\u05D4",LoadFile:"\u05D8\u05E2\u05D9\u05E0\u05EA %1",Loading:"\u05D8\u05E2\u05D9\u05E0\u05D4",LoadFailed:"\u05D4\u05E7\u05D5\u05D1\u05E5 \u05DC\u05D0 \u05E0\u05D8\u05E2\u05DF: %1",ProcessMath:"\u05E2\u05D9\u05D1\u05D5\u05D3 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA: %1%%",Processing:"\u05E2\u05D9\u05D1\u05D5\u05D3",TypesetMath:"\u05E1\u05D3\u05B7\u05E8 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA: %1%%",Typesetting:"\u05E1\u05D3\u05B7\u05E8",MathJaxNotSupported:"\u05D4\u05D3\u05E4\u05D3\u05E4\u05DF \u05E9\u05DC\u05DA \u05D0\u05D9\u05E0\u05D5 \u05EA\u05D5\u05DE\u05DA \u05D1\u05BEMathJax",ErrorTips:"\u05E2\u05E6\u05D5\u05EA \u05DC\u05EA\u05D9\u05E7\u05D5\u05DF \u05E9\u05D2\u05D9\u05D0\u05D5\u05EA: \u05D4\u05E9\u05EA\u05DE\u05E9\u05D5 \u05D1\u05BE%%1, \u05D1\u05D3\u05E7\u05D5 \u05D0\u05EA %%2 \u05D1\u05DE\u05E1\u05D5\u05E3 \u05D4\u05D3\u05E4\u05D3\u05E4\u05DF"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}if(a===2){return 2}if(a!==0&&a%10!==0){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/he/he.js");
diff --git a/localization/ia/FontWarnings.js b/localization/ia/FontWarnings.js
index 489efc6082..6e474f7b45 100644
--- a/localization/ia/FontWarnings.js
+++ b/localization/ia/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ia/FontWarnings.js
+ *  /MathJax-v2/localization/ia/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax utilisa typos de litteras discargate del web pro presentar le formulas mathematic in iste pagina. Istes require tempore pro esser discargate; le pagina apparerea plus rapidemente si vos installa le typos de characteres mathematic directemente in le dossier de typos de litteras de vostre computator.",imageFonts:"MathJax presenta le characteres mathematic per medio de imagines e non usa typos de litteras web o local. Isto rende le presentation plus lente e vostre impressor pote imprimer le formulas a un resolution basse.",noFonts:"MathJax non ha potite localisar un typo de litteras pro presentar su formulas mathematic, e le characteres in imagines non es disponibile, dunque illo debe usar le characteres Unicode generic in le sperantia que vostre navigator sape monstrar los correctemente. Alcun characteres pote apparer de modo erronee o esser absente.",webFonts:"Le major parte del navigatores moderne permitte le discargamento de typos de litteras per le web. Si vos actualisa le version de vostre navigator (o cambia de navigator) le qualitate graphic del formulas mathematic in iste pagina poterea meliorar se.",fonts:"MathJax pote usar le [typos de litteras STIX](%1) o le [typos de litteras TeX de MathJax](%2). Discarga e installa un de istes pro meliorar vostre expreientia de MathJax.",STIXPage:"Iste pagina ha essite concipite pro usar le [typos de litteras STIX](%1). Discarga e installa istes pro meliorar vostre experientia con MathJax.",TeXPage:"Iste pagina ha essite concipite pro usar le [typos de litteras TeX de MathJax](%1). Discarga e installa istes pro meliorar vostre experientia con MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/FontWarnings.js");
+MathJax.Localization.addTranslation("ia","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax utilisa typos de litteras discargate del web pro presentar le formulas mathematic in iste pagina. Istes require tempore pro esser discargate; le pagina apparerea plus rapidemente si vos installa le typos de characteres mathematic directemente in le dossier de typos de litteras de vostre computator.",imageFonts:"MathJax presenta le characteres mathematic per medio de imagines e non usa typos de litteras web o local. Isto rende le presentation plus lente e vostre impressor pote imprimer le formulas a un resolution basse.",noFonts:"MathJax non ha potite localisar un typo de litteras pro presentar su formulas mathematic, e le characteres in imagines non es disponibile, dunque illo debe usar le characteres Unicode generic in le sperantia que vostre navigator sape monstrar los correctemente. Alcun characteres pote apparer de modo erronee o esser absente.",webFonts:"Le major parte del navigatores moderne permitte le discargamento de typos de litteras per le web. Si vos actualisa le version de vostre navigator (o cambia de navigator) le qualitate graphic del formulas mathematic in iste pagina poterea meliorar se.",fonts:"MathJax pote usar le [typos de litteras STIX](%1) o le [typos de litteras TeX de MathJax](%2). Discarga e installa un de istes pro meliorar vostre expreientia de MathJax.",STIXPage:"Iste pagina ha essite concipite pro usar le [typos de litteras STIX](%1). Discarga e installa istes pro meliorar vostre experientia con MathJax.",TeXPage:"Iste pagina ha essite concipite pro usar le [typos de litteras TeX de MathJax](%1). Discarga e installa istes pro meliorar vostre experientia con MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/FontWarnings.js");
diff --git a/localization/ia/HTML-CSS.js b/localization/ia/HTML-CSS.js
index 8b93a6fa74..dbf3c792b1 100644
--- a/localization/ia/HTML-CSS.js
+++ b/localization/ia/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ia/HTML-CSS.js
+ *  /MathJax-v2/localization/ia/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/HTML-CSS.js");
+MathJax.Localization.addTranslation("ia","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/HTML-CSS.js");
diff --git a/localization/ia/HelpDialog.js b/localization/ia/HelpDialog.js
index 2d6c67a5db..5575e5ad5b 100644
--- a/localization/ia/HelpDialog.js
+++ b/localization/ia/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ia/HelpDialog.js
+ *  /MathJax-v2/localization/ia/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Adjuta de MathJax",MathJax:"*MathJax* es un bibliotheca in JavaScript que permitte al autores includer formulas mathematic in lor paginas web. Nulle action del lector es necessari pro facer isto functionar.",Browsers:"*Navigatores*: MathJax functiona con tote le navigatores web moderne como IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e le major parte del navigatores in apparatos mobile.",Menu:"*Menu mathematic*: MathJax adde un menu contextual al equationes. Pro acceder a iste menu, clicca sur un formula premente le button dextre del mus o le clave CTRL.",ShowMath:"*Monstrar formula como* permitte revelar le codice-fonte del formula pro copiar e collar (in formato MathML or in su formato original).",Settings:"*Configuration* te da le controlo sur le functionalitate de MathJax, como le dimension del formulas, e le mechanismo usate pro presentar equationes.",Language:"*Lingua* permitte seliger le lingua usate per MathJax pro su menus e messages de aviso.",Zoom:"*Math Zoom*: Si vos ha difficultate a leger un equation, MathJax pote aggrandir lo pro facilitar le lectura.",Accessibilty:"*Accessibilitate*: MathJax functiona automaticamente con lectores de schermo pro render le formulas accessibile al personas qui vide mal.",Fonts:"*Typos de litteras*: MathJax usa certe typos de litteras mathematic si illos es installate in vostre computator; si non, illo usa typos de litteras obtenite per le web. Ben que non obligatori, le typos de litteras installate localmente rendera le composition plus rapide. Nos suggere installar le [typos de litteras STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/HelpDialog.js");
+MathJax.Localization.addTranslation("ia","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Adjuta de MathJax",MathJax:"*MathJax* es un bibliotheca in JavaScript que permitte al autores includer formulas mathematic in lor paginas web. Nulle action del lector es necessari pro facer isto functionar.",Browsers:"*Navigatores*: MathJax functiona con tote le navigatores web moderne como IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e le major parte del navigatores in apparatos mobile.",Menu:"*Menu mathematic*: MathJax adde un menu contextual al equationes. Pro acceder a iste menu, clicca sur un formula premente le button dextre del mus o le clave CTRL.",ShowMath:"*Monstrar formula como* permitte revelar le codice-fonte del formula pro copiar e collar (in formato MathML or in su formato original).",Settings:"*Configuration* te da le controlo sur le functionalitate de MathJax, como le dimension del formulas, e le mechanismo usate pro presentar equationes.",Language:"*Lingua* permitte seliger le lingua usate per MathJax pro su menus e messages de aviso.",Zoom:"*Math Zoom*: Si vos ha difficultate a leger un equation, MathJax pote aggrandir lo pro facilitar le lectura.",Accessibilty:"*Accessibilitate*: MathJax functiona automaticamente con lectores de schermo pro render le formulas accessibile al personas qui vide mal.",Fonts:"*Typos de litteras*: MathJax usa certe typos de litteras mathematic si illos es installate in vostre computator; si non, illo usa typos de litteras obtenite per le web. Ben que non obligatori, le typos de litteras installate localmente rendera le composition plus rapide. Nos suggere installar le [typos de litteras STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/HelpDialog.js");
diff --git a/localization/ia/MathML.js b/localization/ia/MathML.js
index a42a33cfd2..7059a2aeb9 100644
--- a/localization/ia/MathML.js
+++ b/localization/ia/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ia/MathML.js
+ *  /MathJax-v2/localization/ia/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/MathML.js");
+MathJax.Localization.addTranslation("ia","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/MathML.js");
diff --git a/localization/ia/MathMenu.js b/localization/ia/MathMenu.js
index e9ef8e7d3a..544f97637f 100644
--- a/localization/ia/MathMenu.js
+++ b/localization/ia/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ia/MathMenu.js
+ *  /MathJax-v2/localization/ia/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia","MathMenu",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/MathMenu.js");
+MathJax.Localization.addTranslation("ia","MathMenu",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/MathMenu.js");
diff --git a/localization/ia/TeX.js b/localization/ia/TeX.js
index 3b7cc35e8f..0bb2171b37 100644
--- a/localization/ia/TeX.js
+++ b/localization/ia/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ia/TeX.js
+ *  /MathJax-v2/localization/ia/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/TeX.js");
+MathJax.Localization.addTranslation("ia","TeX",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/TeX.js");
diff --git a/localization/ia/ia.js b/localization/ia/ia.js
index 7701e17f6b..f0b3ccddde 100644
--- a/localization/ia/ia.js
+++ b/localization/ia/ia.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ia/ia.js
+ *  /MathJax-v2/localization/ia/ia.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ia",null,{menuTitle:"interlingua",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax ha trovate un cookie con un configuration de usator que include codice executabile. Executar iste codice?\n\n(Preme Cancellar si vos mesme non ha installate iste cookie.)",MathProcessingError:"Error de tractamento de formula mathematic",MathError:"Error in formula",LoadFile:"Carga %1",Loading:"Cargamento",LoadFailed:"Cargamento del file fallite: %1",ProcessMath:"Tracta formulas: %1%%",Processing:"Tractamento",TypesetMath:"Compone formulas: %1%%",Typesetting:"Composition",MathJaxNotSupported:"Vostre navigator non supporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/ia.js");
+MathJax.Localization.addTranslation("ia",null,{menuTitle:"interlingua",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax ha trovate un cookie con un configuration de usator que include codice executabile. Executar iste codice?\n\n(Preme Cancellar si vos mesme non ha installate iste cookie.)",MathProcessingError:"Error de tractamento de formula mathematic",MathError:"Error in formula",LoadFile:"Carga %1",Loading:"Cargamento",LoadFailed:"Cargamento del file fallite: %1",ProcessMath:"Tracta formulas: %1%%",Processing:"Tractamento",TypesetMath:"Compone formulas: %1%%",Typesetting:"Composition",MathJaxNotSupported:"Vostre navigator non supporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ia/ia.js");
diff --git a/localization/it/FontWarnings.js b/localization/it/FontWarnings.js
index 5148e2d835..b581c2bf3f 100644
--- a/localization/it/FontWarnings.js
+++ b/localization/it/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/it/FontWarnings.js
+ *  /MathJax-v2/localization/it/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax sta usando dei web font per visualizzare le formule di questa pagina. Tali font richiedono tempo per essere scaricati, perci\u00F2 la pagina sarebbe resa pi\u00F9 velocemente se tu installassi dei font matematici direttamente nella cartella dei font di sistema.",imageFonts:"MathJax sta usando dei font immagine invece di quelli locali o dei web font. Questo rallenta la resa oltremodo e le formule potrebbero non essere stampate alla massima risoluzione dalla tua stampante.",noFonts:"MathJax non \u00E8 in grado di trovare un font adatto a visualizzare le formule e i font immagini non sono disponibili; perci\u00F2 utilizzer\u00E1 dei generici caratteri unicode sperando che il tuo browser sia in grado di visualizzarli. Alcuni caratteri potrebbero non essere mostrati correttamente o mancare del tutto.",webFonts:"I browser attuali permettono di scaricare i font dal web. Aggiornando il tuo browser a una versione pi\u00F9 recente (o cambiando del tutto browser) la qualit\u00E1 delle formule di questa pagina potrebbe migliorare.",fonts:"MathJax pu\u00F2 usare sia gli [STIX font](%1) che i [MathJax TeX font](%2). Scarica e installa uno di questi font per avere una resa migliore da MathJax.",STIXPage:"Questa pagina richiede l'uso degli [STIX font](%1). Scarica e installa i suddetti font per avere una resa migliore da MathJax.",TeXPage:"Questa pagina richiede l'uso dei [MathJax TeX font](%1). Scarica e installa i suddetti font per avere una resa migliore da MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/FontWarnings.js");
+MathJax.Localization.addTranslation("it","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax sta usando dei web font per visualizzare le formule di questa pagina. Tali font richiedono tempo per essere scaricati, perci\u00F2 la pagina sarebbe resa pi\u00F9 velocemente se tu installassi dei font matematici direttamente nella cartella dei font di sistema.",imageFonts:"MathJax sta usando dei font immagine invece di quelli locali o dei web font. Questo rallenta la resa oltremodo e le formule potrebbero non essere stampate alla massima risoluzione dalla tua stampante.",noFonts:"MathJax non \u00E8 in grado di trovare un font adatto a visualizzare le formule e i font immagini non sono disponibili; perci\u00F2 utilizzer\u00E1 dei generici caratteri unicode sperando che il tuo browser sia in grado di visualizzarli. Alcuni caratteri potrebbero non essere mostrati correttamente o mancare del tutto.",webFonts:"I browser attuali permettono di scaricare i font dal web. Aggiornando il tuo browser a una versione pi\u00F9 recente (o cambiando del tutto browser) la qualit\u00E1 delle formule di questa pagina potrebbe migliorare.",fonts:"MathJax pu\u00F2 usare sia gli [STIX font](%1) che i [MathJax TeX font](%2). Scarica e installa uno di questi font per avere una resa migliore da MathJax.",STIXPage:"Questa pagina richiede l'uso degli [STIX font](%1). Scarica e installa i suddetti font per avere una resa migliore da MathJax.",TeXPage:"Questa pagina richiede l'uso dei [MathJax TeX font](%1). Scarica e installa i suddetti font per avere una resa migliore da MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/FontWarnings.js");
diff --git a/localization/it/HTML-CSS.js b/localization/it/HTML-CSS.js
index 2d7661d526..b619abb6a0 100644
--- a/localization/it/HTML-CSS.js
+++ b/localization/it/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/it/HTML-CSS.js
+ *  /MathJax-v2/localization/it/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Caricamento web-font %1",CantLoadWebFont:"Impossibile caricare il web font %1",FirefoxCantLoadWebFont:"Firefox non pu\u00F2 scaricare i web font dal server remoto",CantFindFontUsing:"Impossibile trovare un font valido tra %1",WebFontsNotAvailable:"Web font non disponibili -- font immagini in uso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/HTML-CSS.js");
+MathJax.Localization.addTranslation("it","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Caricamento web-font %1",CantLoadWebFont:"Impossibile caricare il web font %1",FirefoxCantLoadWebFont:"Firefox non pu\u00F2 scaricare i web font dal server remoto",CantFindFontUsing:"Impossibile trovare un font valido tra %1",WebFontsNotAvailable:"Web font non disponibili -- font immagini in uso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/HTML-CSS.js");
diff --git a/localization/it/HelpDialog.js b/localization/it/HelpDialog.js
index 21d65c0631..af0e61d953 100644
--- a/localization/it/HelpDialog.js
+++ b/localization/it/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/it/HelpDialog.js
+ *  /MathJax-v2/localization/it/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Aiuto su MathJax",MathJax:"*MathJax* \u00E8 una libreria JavaScript che permette agli autori di includere formule matematiche nelle loro pagine web. Come lettore, non devi far nulla perch\u00E9 questo accada.",Browsers:"*Browser*: MathJax funziona con tutti i moderni browser inclusi IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e gran parte di quelli per cellulare.",Menu:"*Menu Formule*: MathJax aggiunge un menu contestuale alle equazioni. Fai click col tasto destro del mouse oppure CTRL-click su una qualsiasi formula per accedere a tale menu.",ShowMath:"*Mostra formula come* ti permette di visualizzare il codice sorgente per il copia e incolla (in formato MathML o in quello originale).",Settings:"*Impostazioni* permette di controllare le caratteristiche di MathJax, come la grandezza delle formule e il meccanismo usato per mostrare le equazioni.",Language:"*Lingua* ti permette di selezionare la lingua usata da MathJax nei propri menu e nei messaggi d'avviso.",Zoom:"*Zoom formula*: se hai difficolt\u00E1 nella lettura di un'equazione, MathJax pu\u00F2 ingrandirla per permetterti di vederla meglio.",Accessibilty:"*Accessibilit\u00E1*: MathJax funzioner\u00E1 automaticamente con gli screen reader per rendere le formule accessibili a chi ha problemi di vista.",Fonts:"*Font*: MathJax user\u00E1 certi tipi di font se presenti sul tuo computer; altrimenti usera i web font. Sebbene non sia richiesto, font installati sul proprio computer velocizzeranno l'esecuzione di MathJax. Ti suggeriamo di installare se puoi gli [STIX font](%1).",CloseDialog:"Chiudi finestra di aiuto"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/HelpDialog.js");
+MathJax.Localization.addTranslation("it","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Aiuto su MathJax",MathJax:"*MathJax* \u00E8 una libreria JavaScript che permette agli autori di includere formule matematiche nelle loro pagine web. Come lettore, non devi far nulla perch\u00E9 questo accada.",Browsers:"*Browser*: MathJax funziona con tutti i moderni browser inclusi IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e gran parte di quelli per cellulare.",Menu:"*Menu Formule*: MathJax aggiunge un menu contestuale alle equazioni. Fai click col tasto destro del mouse oppure CTRL-click su una qualsiasi formula per accedere a tale menu.",ShowMath:"*Mostra formula come* ti permette di visualizzare il codice sorgente per il copia e incolla (in formato MathML o in quello originale).",Settings:"*Impostazioni* permette di controllare le caratteristiche di MathJax, come la grandezza delle formule e il meccanismo usato per mostrare le equazioni.",Language:"*Lingua* ti permette di selezionare la lingua usata da MathJax nei propri menu e nei messaggi d'avviso.",Zoom:"*Zoom formula*: se hai difficolt\u00E1 nella lettura di un'equazione, MathJax pu\u00F2 ingrandirla per permetterti di vederla meglio.",Accessibilty:"*Accessibilit\u00E1*: MathJax funzioner\u00E1 automaticamente con gli screen reader per rendere le formule accessibili a chi ha problemi di vista.",Fonts:"*Font*: MathJax user\u00E1 certi tipi di font se presenti sul tuo computer; altrimenti usera i web font. Sebbene non sia richiesto, font installati sul proprio computer velocizzeranno l'esecuzione di MathJax. Ti suggeriamo di installare se puoi gli [STIX font](%1).",CloseDialog:"Chiudi finestra di aiuto"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/HelpDialog.js");
diff --git a/localization/it/MathML.js b/localization/it/MathML.js
index 4c9350a599..a38cd5bbb7 100644
--- a/localization/it/MathML.js
+++ b/localization/it/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/it/MathML.js
+ *  /MathJax-v2/localization/it/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"mglyph errato: %1",BadMglyphFont:"Font errato: %1",MathPlayer:"MathJax non \u00E8 stato in grado di avviare MathPlayer.\n\nSe MathPlayer non \u00E8 installato, devi prima installarlo.\nPu\u00F2 darsi anche che le tue impostazioni di sicurezza stiano impedendo\nl'esecuzione dei controlli ActiveX. Controlla la voce Opzioni Internet\ndel menu Strumenti e seleziona il pannello Protezione, quindi premi\nil pulsante 'Livello personalizzato...'. Verifica che siano abilitati\n'Esegui controlli ActiveX e plug-in' e 'Comportamento file binari e script'\n\nOra come ora vedrai dei messaggi d'errore al posto delle formule.",CantCreateXMLParser:"MathJax non \u00E8 in grado di creare un parser XML per MathML. Verifica che\nl'impostazione 'Esegui script controlli ActiveX contrassegnati come sicuri'\nsia abilitata (usa la voce Opzioni Internet nel menu Strumenti,\ne seleziona il pannello Sicurezza, quindi premi il pulsante\n'Livello personalizzato...' per far questo).\n\nLe equazioni in MathML non potranno essere elaborate da MathJax.",UnknownNodeType:"Tipo di nodo sconosciuto: %1",UnexpectedTextNode:"Nodo di testo non previsto: %1",ErrorParsingMathML:"Errore nell'analisi di MathML",ParsingError:"Errore nell'analisi di MathML: %1",MathMLSingleElement:"MathML deve essere formato da un singolo elemento",MathMLRootElement:"MathML deve essere formato da un elemento \u003Cmath\u003E, non %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/MathML.js");
+MathJax.Localization.addTranslation("it","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"mglyph errato: %1",BadMglyphFont:"Font errato: %1",MathPlayer:"MathJax non \u00E8 stato in grado di avviare MathPlayer.\n\nSe MathPlayer non \u00E8 installato, devi prima installarlo.\nPu\u00F2 darsi anche che le tue impostazioni di sicurezza stiano impedendo\nl'esecuzione dei controlli ActiveX. Controlla la voce Opzioni Internet\ndel menu Strumenti e seleziona il pannello Protezione, quindi premi\nil pulsante 'Livello personalizzato...'. Verifica che siano abilitati\n'Esegui controlli ActiveX e plug-in' e 'Comportamento file binari e script'\n\nOra come ora vedrai dei messaggi d'errore al posto delle formule.",CantCreateXMLParser:"MathJax non \u00E8 in grado di creare un parser XML per MathML. Verifica che\nl'impostazione 'Esegui script controlli ActiveX contrassegnati come sicuri'\nsia abilitata (usa la voce Opzioni Internet nel menu Strumenti,\ne seleziona il pannello Sicurezza, quindi premi il pulsante\n'Livello personalizzato...' per far questo).\n\nLe equazioni in MathML non potranno essere elaborate da MathJax.",UnknownNodeType:"Tipo di nodo sconosciuto: %1",UnexpectedTextNode:"Nodo di testo non previsto: %1",ErrorParsingMathML:"Errore nell'analisi di MathML",ParsingError:"Errore nell'analisi di MathML: %1",MathMLSingleElement:"MathML deve essere formato da un singolo elemento",MathMLRootElement:"MathML deve essere formato da un elemento \u003Cmath\u003E, non %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/MathML.js");
diff --git a/localization/it/MathMenu.js b/localization/it/MathMenu.js
index 56546e6d20..bb76239e19 100644
--- a/localization/it/MathMenu.js
+++ b/localization/it/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/it/MathMenu.js
+ *  /MathJax-v2/localization/it/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Mostra formula come",MathMLcode:"Codice MathML",OriginalMathML:"MathML originale",TeXCommands:"Comandi TeX",AsciiMathInput:"Input AsciiMathML",Original:"Modulo originale",ErrorMessage:"Messaggio d'errore",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Aggiungi suggerimenti Tex a MathML",Settings:"Impostazioni formule",ZoomTrigger:"Attivazione zoom",Hover:"Sopra",Click:"Click",DoubleClick:"Doppio-Click",NoZoom:"Niente zoom",TriggerRequires:"L'attivazione richiede:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Fattore di zoom",Renderer:"Processore per le formule",MPHandles:"Affida a MathPlayer",MenuEvents:"Eventi menu",MouseEvents:"Eventi mouse",MenuAndMouse:"Eventi mouse e menu",FontPrefs:"Preferenze font",ForHTMLCSS:"Per HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (locale)",TeXWeb:"TeX (web)",TeXImage:"TeX (immagini)",STIXLocal:"STIX (locale)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu contestuale",Browser:"Browser",Scale:"Scala tutte le formule...",Discoverable:"Evidenzia al passaggio",Locale:"Lingua",LoadLocale:"Scarica dall'URL ...",About:"Informazioni su MathJax",Help:"Aiuto di MathJax",localTeXfonts:"usare font TeX locale",webTeXfonts:"usare font Tex dal web",imagefonts:"usare font immagine",localSTIXfonts:"usare font STIX locale",webSVGfonts:"usare font SVG dal web",genericfonts:"usare generici font unicode",wofforotffonts:"font woff oppure otf",eotffonts:"font eot",svgfonts:"font svg",WebkitNativeMMLWarning:"Il tuo browser non sembra supportare MathML nativamente, perci\u00F2 il passaggio ora all'output MathML potrebbe rendere illegibili le formule della pagina.",MSIENativeMMLWarning:"Internet Explorer richiede il plugin MathPlayer per processare output MathML.",OperaNativeMMLWarning:"Il supporto di Opera a MathML \u00E8 limitato, perci\u00F2 passando ora all'output MathML potrebbe succedere che alcune espressioni siano rese in modo scadente.",SafariNativeMMLWarning:"L'implementazione di MathML del tuo browser non comprende tutte le caratteristiche usate da MathJax, perci\u00F2 alcune espressioni potrebbero non essere visualizzate perfettamente.",FirefoxNativeMMLWarning:"L'implementazione di MathML del tuo browser non comprende tutte le caratteristiche usate da MathJax, perci\u00F2 alcune espressioni potrebbero non essere visualizzate perfettamente.",MSIESVGWarning:"SVG non \u00E8 implementato nelle versioni precedenti IE9 oppure quando si sta emulando IE8 o precedenti. Passando all'output SVG le formule non saranno visualizzate correttamente.",LoadURL:"Scaricamento traduzione da questo indirizzo:",BadURL:"L'indirizzo dovrebbe puntare a un file Javascript con una traduzione di MathJax.  I nomi di file Javascript dovrebbero avere estensione '.js'",BadData:"Impossibile scaricare la traduzione da %1",SwitchAnyway:"Passare comunque a questo interprete?\n\n(Premi OK per cambiare, ANNULLA per continuare con la modalit\u00E1 corrente",ScaleMath:"Scala tutte le formule (comparate al testo circostante) del",NonZeroScale:"Il fattore di scala non deve essere zero",PercentScale:"Il fattore di scala deve essere in percentuale (es. 120%%)",IE8warning:"Questo disabiliter\u00E1 il menu di MathJax e la possibilit\u00E1 di zoom, puoi per\u00F2 accedere lo stesso al menu con Alt-Click su una formula.\n\nCambiare davvero le impostazioni di MathPlayer?",IE9warning:"Il menu contestuale di MathJax verr\u00E1 disabilitato, ma puoi sempre premere Alt-Click sopra una formula per accedervi comunque.",NoOriginalForm:"Modulo originale non disponibile",Close:"Chiudi",EqSource:"Codice sorgente formula MathJax",CloseAboutDialog:"Chiudi finestra di informazioni su MathJax",FastPreview:"Anteprima veloce",AssistiveMML:"MathML ausiliario",InTabOrder:"Includi nell'ordine di tabulazione"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/MathMenu.js");
+MathJax.Localization.addTranslation("it","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Mostra formula come",MathMLcode:"Codice MathML",OriginalMathML:"MathML originale",TeXCommands:"Comandi TeX",AsciiMathInput:"Input AsciiMathML",Original:"Modulo originale",ErrorMessage:"Messaggio d'errore",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Aggiungi suggerimenti Tex a MathML",Settings:"Impostazioni formule",ZoomTrigger:"Attivazione zoom",Hover:"Sopra",Click:"Click",DoubleClick:"Doppio-Click",NoZoom:"Niente zoom",TriggerRequires:"L'attivazione richiede:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Fattore di zoom",Renderer:"Processore per le formule",MPHandles:"Affida a MathPlayer",MenuEvents:"Eventi menu",MouseEvents:"Eventi mouse",MenuAndMouse:"Eventi mouse e menu",FontPrefs:"Preferenze font",ForHTMLCSS:"Per HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (locale)",TeXWeb:"TeX (web)",TeXImage:"TeX (immagini)",STIXLocal:"STIX (locale)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu contestuale",Browser:"Browser",Scale:"Scala tutte le formule...",Discoverable:"Evidenzia al passaggio",Locale:"Lingua",LoadLocale:"Scarica dall'URL ...",About:"Informazioni su MathJax",Help:"Aiuto di MathJax",localTeXfonts:"usare font TeX locale",webTeXfonts:"usare font Tex dal web",imagefonts:"usare font immagine",localSTIXfonts:"usare font STIX locale",webSVGfonts:"usare font SVG dal web",genericfonts:"usare generici font unicode",wofforotffonts:"font woff oppure otf",eotffonts:"font eot",svgfonts:"font svg",WebkitNativeMMLWarning:"Il tuo browser non sembra supportare MathML nativamente, perci\u00F2 il passaggio ora all'output MathML potrebbe rendere illegibili le formule della pagina.",MSIENativeMMLWarning:"Internet Explorer richiede il plugin MathPlayer per processare output MathML.",OperaNativeMMLWarning:"Il supporto di Opera a MathML \u00E8 limitato, perci\u00F2 passando ora all'output MathML potrebbe succedere che alcune espressioni siano rese in modo scadente.",SafariNativeMMLWarning:"L'implementazione di MathML del tuo browser non comprende tutte le caratteristiche usate da MathJax, perci\u00F2 alcune espressioni potrebbero non essere visualizzate perfettamente.",FirefoxNativeMMLWarning:"L'implementazione di MathML del tuo browser non comprende tutte le caratteristiche usate da MathJax, perci\u00F2 alcune espressioni potrebbero non essere visualizzate perfettamente.",MSIESVGWarning:"SVG non \u00E8 implementato nelle versioni precedenti IE9 oppure quando si sta emulando IE8 o precedenti. Passando all'output SVG le formule non saranno visualizzate correttamente.",LoadURL:"Scaricamento traduzione da questo indirizzo:",BadURL:"L'indirizzo dovrebbe puntare a un file Javascript con una traduzione di MathJax.  I nomi di file Javascript dovrebbero avere estensione '.js'",BadData:"Impossibile scaricare la traduzione da %1",SwitchAnyway:"Passare comunque a questo interprete?\n\n(Premi OK per cambiare, ANNULLA per continuare con la modalit\u00E1 corrente",ScaleMath:"Scala tutte le formule (comparate al testo circostante) del",NonZeroScale:"Il fattore di scala non deve essere zero",PercentScale:"Il fattore di scala deve essere in percentuale (es. 120%%)",IE8warning:"Questo disabiliter\u00E1 il menu di MathJax e la possibilit\u00E1 di zoom, puoi per\u00F2 accedere lo stesso al menu con Alt-Click su una formula.\n\nCambiare davvero le impostazioni di MathPlayer?",IE9warning:"Il menu contestuale di MathJax verr\u00E1 disabilitato, ma puoi sempre premere Alt-Click sopra una formula per accedervi comunque.",NoOriginalForm:"Modulo originale non disponibile",Close:"Chiudi",EqSource:"Codice sorgente formula MathJax",CloseAboutDialog:"Chiudi finestra di informazioni su MathJax",FastPreview:"Anteprima veloce",AssistiveMML:"MathML ausiliario",InTabOrder:"Includi nell'ordine di tabulazione"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/MathMenu.js");
diff --git a/localization/it/TeX.js b/localization/it/TeX.js
index 9ebb49217d..5d5994162f 100644
--- a/localization/it/TeX.js
+++ b/localization/it/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/it/TeX.js
+ *  /MathJax-v2/localization/it/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Graffa d'apertura in pi\u00F9 o di chiusura mancante",ExtraCloseMissingOpen:"Graffa di chiusura in pi\u00F9 o d'apertura mancante",MissingLeftExtraRight:"Comando \\left mancante oppure \\right extra",MissingScript:"Argomento per l'esponente o per l'indice mancante",ExtraLeftMissingRight:"Comando \\left extra oppure \\right mancante",Misplaced:"%1 mal posizionato",MissingOpenForSub:"Graffa d'apertura per l'indice mancante",MissingOpenForSup:"Graffa d'apertura per l'esponente mancante",AmbiguousUseOf:"Uso ambiguo di %1",EnvBadEnd:"\\begin{%1} terminato con \\end{%2}",EnvMissingEnd:"\\end{%1} mancante",MissingBoxFor:"Box per %1 mancante",MissingCloseBrace:"Graffa di chiusura mancante",UndefinedControlSequence:"Sequenza di controllo %1 indefinita",DoubleExponent:"Esponente doppio: usa le parentesi per distinguerli",DoubleSubscripts:"Doppio indice: usa le parentesi per distinguerli",DoubleExponentPrime:"Simbolo di primo visto come secondo esponente: usa le parentesi per chiarire",CantUseHash1:"Non puoi usare il carattere # come parametro delle macro in modalit\u00E1 matematica",MisplacedMiddle:"%1 deve trovarsi tra \\left e \\right",MisplacedLimits:"%1 \u00E8 consentito solo con operatori",MisplacedMoveRoot:"%1 pu\u00F2 appare solo sotto radice",MultipleCommand:"%1 multipli",IntegerArg:"L'argomento di %1 deve essere un intero",NotMathMLToken:"%1 non \u00E8 un token",InvalidMathMLAttr:"Attributo MathML non valido: %1",UnknownAttrForElement:"%1 non \u00E8 un attributo riconosciuto per %2",MaxMacroSub1:"Numero massimo per le sostituzioni di macro superato da MathJax; forse una chiamata di macro ricorsiva?",MaxMacroSub2:"Numero massimo per le sostituzioni superato da MathJax; forse un'ambiente LaTeX ricorsivo?",MissingArgFor:"Argomento di %1 mancante",ExtraAlignTab:"Tabulazione d'allineamento extra nel testo di \\cases",BracketMustBeDimension:"L'argomento tra parentesi per %1 deve essere una dimensione",InvalidEnv:"Nome d'ambiente non valido '%1'",UnknownEnv:"Ambiente sconosciuto '%1'",ExtraCloseLooking:"Graffa di chiusura extra durante la ricerca di %1",MissingCloseBracket:"Parentesi ] per l'argomento di %1 non trovata",MissingOrUnrecognizedDelim:"Delimitatore per %1 mancante o non riconosciuto",MissingDimOrUnits:"Dimensione o sue unit\u00E1 mancanti per %1",TokenNotFoundForCommand:"Impossibile trovare %1 per %2",MathNotTerminated:"Formula non terminata in box di testo",IllegalMacroParam:"Riferimento a un parametro di macro illegale",MaxBufferSize:"Dimensione del buffer interno di MathJax superato; chiamata di macro ricorsiva?",CommandNotAllowedInEnv:"%1 non \u00E8 consentito nell'ambiente %2",MultipleLabel:"Etichetta '%1' definita pi\u00F9 volte",CommandAtTheBeginingOfLine:"%1 deve trovarsi all'inizio della riga",IllegalAlign:"Allineamento specificato in %1 illegale",BadMathStyleFor:"Stile math inadatto a %1",PositiveIntegerArg:"L'argomento di %1 deve essere un intero positivo",ErroneousNestingEq:"Annidamento di strutture di equazioni errato",MultlineRowsOneCol:"Le righe nell'ambiente %1 devono avere esattamente una colonna",MultipleBBoxProperty:"%1 specificato due volte in %2",InvalidBBoxProperty:"'%1' non sembra un colore, una spaziatura o uno stile",ExtraEndMissingBegin:"%1 extra oppure \\begingroup mancante",GlobalNotFollowedBy:"%1 non seguito da \\let, \\def o \\newcommand",UndefinedColorModel:"Modello colore '%1' non definito",ModelArg1:"I valori di colore per il modello %1 richiedono tre numeri",InvalidDecimalNumber:"Numero decimale non valido",ModelArg2:"I valori di colore per il modello %1 devono essere compresi tra %2 e %3",InvalidNumber:"Numero non valido",NewextarrowArg1:"Il primo argomento di %1 deve essere il nome di una sequenza di controllo",NewextarrowArg2:"Il secondo argomento di %1 devono essere due numeri separati da una virgola",NewextarrowArg3:"Il terzo argomento di %1 deve essere un codice di un carattere unicode",NoClosingChar:"Impossibile trovare la parentesi di chiusura %1",IllegalControlSequenceName:"Nome sequenza di controllo illegale per %1",IllegalParamNumber:"Numero di parametri specificato in %1 illegale",MissingCS:"%1 deve essere seguito da una sequenza di controllo",CantUseHash2:"Uso di # non consentito nel modello di %1",SequentialParam:"I parametri per %1 devono essere numerati consecutivamente",MissingReplacementString:"Stringa di sostituzione per la definizione di %1 mancante",MismatchUseDef:"L'uso di %1 non combacia con la sua definizione",RunawayArgument:"Perso un argomento per %1?",NoClosingDelim:"Impossibile trovare delimitatore di chiusura per %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/TeX.js");
+MathJax.Localization.addTranslation("it","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Graffa d'apertura in pi\u00F9 o di chiusura mancante",ExtraCloseMissingOpen:"Graffa di chiusura in pi\u00F9 o d'apertura mancante",MissingLeftExtraRight:"Comando \\left mancante oppure \\right extra",MissingScript:"Argomento per l'esponente o per l'indice mancante",ExtraLeftMissingRight:"Comando \\left extra oppure \\right mancante",Misplaced:"%1 mal posizionato",MissingOpenForSub:"Graffa d'apertura per l'indice mancante",MissingOpenForSup:"Graffa d'apertura per l'esponente mancante",AmbiguousUseOf:"Uso ambiguo di %1",EnvBadEnd:"\\begin{%1} terminato con \\end{%2}",EnvMissingEnd:"\\end{%1} mancante",MissingBoxFor:"Box per %1 mancante",MissingCloseBrace:"Graffa di chiusura mancante",UndefinedControlSequence:"Sequenza di controllo %1 indefinita",DoubleExponent:"Esponente doppio: usa le parentesi per distinguerli",DoubleSubscripts:"Doppio indice: usa le parentesi per distinguerli",DoubleExponentPrime:"Simbolo di primo visto come secondo esponente: usa le parentesi per chiarire",CantUseHash1:"Non puoi usare il carattere # come parametro delle macro in modalit\u00E1 matematica",MisplacedMiddle:"%1 deve trovarsi tra \\left e \\right",MisplacedLimits:"%1 \u00E8 consentito solo con operatori",MisplacedMoveRoot:"%1 pu\u00F2 appare solo sotto radice",MultipleCommand:"%1 multipli",IntegerArg:"L'argomento di %1 deve essere un intero",NotMathMLToken:"%1 non \u00E8 un token",InvalidMathMLAttr:"Attributo MathML non valido: %1",UnknownAttrForElement:"%1 non \u00E8 un attributo riconosciuto per %2",MaxMacroSub1:"Numero massimo per le sostituzioni di macro superato da MathJax; forse una chiamata di macro ricorsiva?",MaxMacroSub2:"Numero massimo per le sostituzioni superato da MathJax; forse un'ambiente LaTeX ricorsivo?",MissingArgFor:"Argomento di %1 mancante",ExtraAlignTab:"Tabulazione d'allineamento extra nel testo di \\cases",BracketMustBeDimension:"L'argomento tra parentesi per %1 deve essere una dimensione",InvalidEnv:"Nome d'ambiente non valido '%1'",UnknownEnv:"Ambiente sconosciuto '%1'",ExtraCloseLooking:"Graffa di chiusura extra durante la ricerca di %1",MissingCloseBracket:"Parentesi ] per l'argomento di %1 non trovata",MissingOrUnrecognizedDelim:"Delimitatore per %1 mancante o non riconosciuto",MissingDimOrUnits:"Dimensione o sue unit\u00E1 mancanti per %1",TokenNotFoundForCommand:"Impossibile trovare %1 per %2",MathNotTerminated:"Formula non terminata in box di testo",IllegalMacroParam:"Riferimento a un parametro di macro illegale",MaxBufferSize:"Dimensione del buffer interno di MathJax superato; chiamata di macro ricorsiva?",CommandNotAllowedInEnv:"%1 non \u00E8 consentito nell'ambiente %2",MultipleLabel:"Etichetta '%1' definita pi\u00F9 volte",CommandAtTheBeginingOfLine:"%1 deve trovarsi all'inizio della riga",IllegalAlign:"Allineamento specificato in %1 illegale",BadMathStyleFor:"Stile math inadatto a %1",PositiveIntegerArg:"L'argomento di %1 deve essere un intero positivo",ErroneousNestingEq:"Annidamento di strutture di equazioni errato",MultlineRowsOneCol:"Le righe nell'ambiente %1 devono avere esattamente una colonna",MultipleBBoxProperty:"%1 specificato due volte in %2",InvalidBBoxProperty:"'%1' non sembra un colore, una spaziatura o uno stile",ExtraEndMissingBegin:"%1 extra oppure \\begingroup mancante",GlobalNotFollowedBy:"%1 non seguito da \\let, \\def o \\newcommand",UndefinedColorModel:"Modello colore '%1' non definito",ModelArg1:"I valori di colore per il modello %1 richiedono tre numeri",InvalidDecimalNumber:"Numero decimale non valido",ModelArg2:"I valori di colore per il modello %1 devono essere compresi tra %2 e %3",InvalidNumber:"Numero non valido",NewextarrowArg1:"Il primo argomento di %1 deve essere il nome di una sequenza di controllo",NewextarrowArg2:"Il secondo argomento di %1 devono essere due numeri separati da una virgola",NewextarrowArg3:"Il terzo argomento di %1 deve essere un codice di un carattere unicode",NoClosingChar:"Impossibile trovare la parentesi di chiusura %1",IllegalControlSequenceName:"Nome sequenza di controllo illegale per %1",IllegalParamNumber:"Numero di parametri specificato in %1 illegale",MissingCS:"%1 deve essere seguito da una sequenza di controllo",CantUseHash2:"Uso di # non consentito nel modello di %1",SequentialParam:"I parametri per %1 devono essere numerati consecutivamente",MissingReplacementString:"Stringa di sostituzione per la definizione di %1 mancante",MismatchUseDef:"L'uso di %1 non combacia con la sua definizione",RunawayArgument:"Perso un argomento per %1?",NoClosingDelim:"Impossibile trovare delimitatore di chiusura per %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/TeX.js");
diff --git a/localization/it/it.js b/localization/it/it.js
index 5b41501dc3..d9d43a5355 100644
--- a/localization/it/it.js
+++ b/localization/it/it.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/it/it.js
+ *  /MathJax-v2/localization/it/it.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("it",null,{menuTitle:"italiano",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax ha trovato un cookie di configurazione utente che include del codice eseguibile. Vuoi eseguirlo?\n\n(Premi Annulla a meno che non l'abbia effettivamente impostato tu.)",MathProcessingError:"Errore elaborazione della formula",MathError:"Errore nella formula",LoadFile:"Caricamento %1",Loading:"Caricamento",LoadFailed:"Caricamento del file fallito: %1",ProcessMath:"Elaborazione formula: %1%%",Processing:"Elaborazione in corso",TypesetMath:"Composizione della formula: %1%%",Typesetting:"Composizione",MathJaxNotSupported:"Il tuo browser non supporta MathJax",ErrorTips:"Suggerimenti per il debug: utilizza %%1, ispeziona %%2 nella console del browser"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/it.js");
+MathJax.Localization.addTranslation("it",null,{menuTitle:"italiano",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax ha trovato un cookie di configurazione utente che include del codice eseguibile. Vuoi eseguirlo?\n\n(Premi Annulla a meno che non l'abbia effettivamente impostato tu.)",MathProcessingError:"Errore elaborazione della formula",MathError:"Errore nella formula",LoadFile:"Caricamento %1",Loading:"Caricamento",LoadFailed:"Caricamento del file fallito: %1",ProcessMath:"Elaborazione formula: %1%%",Processing:"Elaborazione in corso",TypesetMath:"Composizione della formula: %1%%",Typesetting:"Composizione",MathJaxNotSupported:"Il tuo browser non supporta MathJax",ErrorTips:"Suggerimenti per il debug: utilizza %%1, ispeziona %%2 nella console del browser"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/it/it.js");
diff --git a/localization/ja/FontWarnings.js b/localization/ja/FontWarnings.js
index 9522f3220b..1088a378a6 100644
--- a/localization/ja/FontWarnings.js
+++ b/localization/ja/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ja/FontWarnings.js
+ *  /MathJax-v2/localization/ja/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax \u306F\u3053\u306E\u30DA\u30FC\u30B8\u3067\u3001\u6570\u5F0F\u3092\u8868\u793A\u3059\u308B\u305F\u3081\u306B\u30A6\u30A7\u30D6 \u30D9\u30FC\u30B9\u306E\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u30D5\u30A9\u30F3\u30C8\u306E\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u306B\u6642\u9593\u304C\u304B\u304B\u308B\u305F\u3081\u3001\u3042\u306A\u305F\u306E\u30B7\u30B9\u30C6\u30E0\u306E\u30D5\u30A9\u30F3\u30C8 \u30D5\u30A9\u30EB\u30C0\u30FC\u306B\u6570\u5F0F\u30D5\u30A9\u30F3\u30C8\u3092\u76F4\u63A5\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3067\u30DA\u30FC\u30B8\u306E\u30EC\u30F3\u30C0\u30EA\u30F3\u30B0\u304C\u3088\u308A\u901F\u304F\u306A\u308A\u307E\u3059\u3002",imageFonts:"MathJax \u306F\u30ED\u30FC\u30AB\u30EB \u30D5\u30A9\u30F3\u30C8\u3084 Web \u30D5\u30A9\u30F3\u30C8\u3067\u306F\u306A\u304F\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u63CF\u753B\u304C\u901A\u5E38\u3088\u308A\u9045\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u3001\u30D7\u30EA\u30F3\u30BF\u30FC\u3067\u306E\u9AD8\u89E3\u50CF\u5EA6\u306E\u5370\u5237\u306B\u5411\u304B\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",noFonts:"MathJax \u304C\u6570\u5F0F\u306E\u8868\u793A\u306B\u4F7F\u7528\u3059\u308B\u30D5\u30A9\u30F3\u30C8\u3092\u898B\u3064\u3051\u3089\u308C\u305A\u3001\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3082\u5229\u7528\u3067\u304D\u306A\u3044\u305F\u3081\u3001\u4EE3\u308F\u308A\u306B\u6C4E\u7528\u306E Unicode \u6587\u5B57\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u304C\u8868\u793A\u3067\u304D\u308B\u3082\u306E\u3068\u671F\u5F85\u3057\u3066\u3044\u307E\u3059\u304C\u3001\u4E00\u90E8\u306E\u6587\u5B57\u304C\u9069\u5207\u306B\u8868\u793A\u3055\u308C\u306A\u3044\u3001\u307E\u305F\u306F\u5168\u304F\u8868\u793A\u3055\u308C\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",webFonts:"\u591A\u304F\u306E\u30A6\u30A7\u30D6 \u30D6\u30E9\u30A6\u30B6\u30FC\u306F\u30A6\u30A7\u30D6\u304B\u3089\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u3067\u304D\u307E\u3059\u3002\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u3092\u3088\u308A\u65B0\u3057\u3044\u30D0\u30FC\u30B8\u30E7\u30F3\u306B\u66F4\u65B0\u3059\u308B (\u307E\u305F\u306F\u5225\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306B\u5909\u66F4\u3059\u308B) \u3053\u3068\u3067\u3001\u3053\u306E\u30DA\u30FC\u30B8\u306E\u6570\u5F0F\u306E\u54C1\u8CEA\u304C\u5411\u4E0A\u3059\u308B\u53EF\u80FD\u6027\u304C\u3042\u308A\u307E\u3059\u3002",fonts:"MathJax \u3067\u306F [STIX \u30D5\u30A9\u30F3\u30C8](%1)\u3084 [MathJax Tex \u30D5\u30A9\u30F3\u30C8](%2)\u3092\u4F7F\u7528\u3067\u304D\u307E\u3059\u3002MathJax \u4F53\u9A13\u3092\u6539\u5584\u3059\u308B\u305F\u3081\u306B\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u304A\u3088\u3073\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002",STIXPage:"\u3053\u306E\u30DA\u30FC\u30B8\u306F [STIX \u30D5\u30A9\u30F3\u30C8](%1)\u3092\u4F7F\u7528\u3059\u308B\u3088\u3046\u306B\u8A2D\u8A08\u3055\u308C\u3066\u3044\u307E\u3059\u3002MathJax \u4F53\u9A13\u3092\u6539\u5584\u3059\u308B\u305F\u3081\u306B\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u304A\u3088\u3073\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002",TeXPage:"\u3053\u306E\u30DA\u30FC\u30B8\u306F [MathJax TeX \u30D5\u30A9\u30F3\u30C8](%1)\u3092\u4F7F\u7528\u3059\u308B\u3088\u3046\u306B\u8A2D\u8A08\u3055\u308C\u3066\u3044\u307E\u3059\u3002MathJax \u4F53\u9A13\u3092\u6539\u5584\u3059\u308B\u305F\u3081\u306B\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u304A\u3088\u3073\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/FontWarnings.js");
+MathJax.Localization.addTranslation("ja","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax \u306F\u3053\u306E\u30DA\u30FC\u30B8\u3067\u3001\u6570\u5F0F\u3092\u8868\u793A\u3059\u308B\u305F\u3081\u306B\u30A6\u30A7\u30D6 \u30D9\u30FC\u30B9\u306E\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u30D5\u30A9\u30F3\u30C8\u306E\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u306B\u6642\u9593\u304C\u304B\u304B\u308B\u305F\u3081\u3001\u3042\u306A\u305F\u306E\u30B7\u30B9\u30C6\u30E0\u306E\u30D5\u30A9\u30F3\u30C8 \u30D5\u30A9\u30EB\u30C0\u30FC\u306B\u6570\u5F0F\u30D5\u30A9\u30F3\u30C8\u3092\u76F4\u63A5\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3067\u30DA\u30FC\u30B8\u306E\u30EC\u30F3\u30C0\u30EA\u30F3\u30B0\u304C\u3088\u308A\u901F\u304F\u306A\u308A\u307E\u3059\u3002",imageFonts:"MathJax \u306F\u30ED\u30FC\u30AB\u30EB \u30D5\u30A9\u30F3\u30C8\u3084 Web \u30D5\u30A9\u30F3\u30C8\u3067\u306F\u306A\u304F\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u63CF\u753B\u304C\u901A\u5E38\u3088\u308A\u9045\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u3001\u30D7\u30EA\u30F3\u30BF\u30FC\u3067\u306E\u9AD8\u89E3\u50CF\u5EA6\u306E\u5370\u5237\u306B\u5411\u304B\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",noFonts:"MathJax \u304C\u6570\u5F0F\u306E\u8868\u793A\u306B\u4F7F\u7528\u3059\u308B\u30D5\u30A9\u30F3\u30C8\u3092\u898B\u3064\u3051\u3089\u308C\u305A\u3001\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3082\u5229\u7528\u3067\u304D\u306A\u3044\u305F\u3081\u3001\u4EE3\u308F\u308A\u306B\u6C4E\u7528\u306E Unicode \u6587\u5B57\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u304C\u8868\u793A\u3067\u304D\u308B\u3082\u306E\u3068\u671F\u5F85\u3057\u3066\u3044\u307E\u3059\u304C\u3001\u4E00\u90E8\u306E\u6587\u5B57\u304C\u9069\u5207\u306B\u8868\u793A\u3055\u308C\u306A\u3044\u3001\u307E\u305F\u306F\u5168\u304F\u8868\u793A\u3055\u308C\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",webFonts:"\u591A\u304F\u306E\u30A6\u30A7\u30D6 \u30D6\u30E9\u30A6\u30B6\u30FC\u306F\u30A6\u30A7\u30D6\u304B\u3089\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u3067\u304D\u307E\u3059\u3002\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u3092\u3088\u308A\u65B0\u3057\u3044\u30D0\u30FC\u30B8\u30E7\u30F3\u306B\u66F4\u65B0\u3059\u308B (\u307E\u305F\u306F\u5225\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306B\u5909\u66F4\u3059\u308B) \u3053\u3068\u3067\u3001\u3053\u306E\u30DA\u30FC\u30B8\u306E\u6570\u5F0F\u306E\u54C1\u8CEA\u304C\u5411\u4E0A\u3059\u308B\u53EF\u80FD\u6027\u304C\u3042\u308A\u307E\u3059\u3002",fonts:"MathJax \u3067\u306F [STIX \u30D5\u30A9\u30F3\u30C8](%1)\u3084 [MathJax Tex \u30D5\u30A9\u30F3\u30C8](%2)\u3092\u4F7F\u7528\u3067\u304D\u307E\u3059\u3002MathJax \u4F53\u9A13\u3092\u6539\u5584\u3059\u308B\u305F\u3081\u306B\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u304A\u3088\u3073\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002",STIXPage:"\u3053\u306E\u30DA\u30FC\u30B8\u306F [STIX \u30D5\u30A9\u30F3\u30C8](%1)\u3092\u4F7F\u7528\u3059\u308B\u3088\u3046\u306B\u8A2D\u8A08\u3055\u308C\u3066\u3044\u307E\u3059\u3002MathJax \u4F53\u9A13\u3092\u6539\u5584\u3059\u308B\u305F\u3081\u306B\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u304A\u3088\u3073\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002",TeXPage:"\u3053\u306E\u30DA\u30FC\u30B8\u306F [MathJax TeX \u30D5\u30A9\u30F3\u30C8](%1)\u3092\u4F7F\u7528\u3059\u308B\u3088\u3046\u306B\u8A2D\u8A08\u3055\u308C\u3066\u3044\u307E\u3059\u3002MathJax \u4F53\u9A13\u3092\u6539\u5584\u3059\u308B\u305F\u3081\u306B\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u304A\u3088\u3073\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/FontWarnings.js");
diff --git a/localization/ja/HTML-CSS.js b/localization/ja/HTML-CSS.js
index 66bb3c9abf..fa220b6a4e 100644
--- a/localization/ja/HTML-CSS.js
+++ b/localization/ja/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ja/HTML-CSS.js
+ *  /MathJax-v2/localization/ja/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Web \u30D5\u30A9\u30F3\u30C8 %1 \u3092\u8AAD\u307F\u8FBC\u307F\u4E2D",CantLoadWebFont:"Web \u30D5\u30A9\u30F3\u30C8 %1 \u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093",FirefoxCantLoadWebFont:"Firefox \u306F\u3001\u30EA\u30E2\u30FC\u30C8 \u30DB\u30B9\u30C8\u306E Web \u30D5\u30A9\u30F3\u30C8\u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093",CantFindFontUsing:"%1 \u3067\u6709\u52B9\u306A\u30D5\u30A9\u30F3\u30C8\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093",WebFontsNotAvailable:"Web \u30D5\u30A9\u30F3\u30C8\u3092\u5229\u7528\u3067\u304D\u307E\u305B\u3093\u3002\u4EE3\u308F\u308A\u306B\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u307E\u3059"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/HTML-CSS.js");
+MathJax.Localization.addTranslation("ja","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Web \u30D5\u30A9\u30F3\u30C8 %1 \u3092\u8AAD\u307F\u8FBC\u307F\u4E2D",CantLoadWebFont:"Web \u30D5\u30A9\u30F3\u30C8 %1 \u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093",FirefoxCantLoadWebFont:"Firefox \u306F\u3001\u30EA\u30E2\u30FC\u30C8 \u30DB\u30B9\u30C8\u306E Web \u30D5\u30A9\u30F3\u30C8\u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093",CantFindFontUsing:"%1 \u3067\u6709\u52B9\u306A\u30D5\u30A9\u30F3\u30C8\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093",WebFontsNotAvailable:"Web \u30D5\u30A9\u30F3\u30C8\u3092\u5229\u7528\u3067\u304D\u307E\u305B\u3093\u3002\u4EE3\u308F\u308A\u306B\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u307E\u3059"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/HTML-CSS.js");
diff --git a/localization/ja/HelpDialog.js b/localization/ja/HelpDialog.js
index 39ae55f6eb..d985b0079c 100644
--- a/localization/ja/HelpDialog.js
+++ b/localization/ja/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ja/HelpDialog.js
+ *  /MathJax-v2/localization/ja/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax \u30D8\u30EB\u30D7",MathJax:"*MathJax* \u306F\u30A6\u30A7\u30D6 \u30DA\u30FC\u30B8\u306E\u88FD\u4F5C\u8005\u304C\u30DA\u30FC\u30B8\u306B\u6570\u5F0F\u3092\u57CB\u3081\u8FBC\u3081\u308B\u3088\u3046\u306B\u3059\u308B JavaScript \u30E9\u30A4\u30D6\u30E9\u30EA\u3067\u3059\u3002\u95B2\u89A7\u8005\u5074\u3067\u306F\u6570\u5F0F\u3092\u95B2\u89A7\u3059\u308B\u306E\u306B\u4F55\u3082\u5FC5\u8981\u3068\u3057\u307E\u305B\u3093\u3002",Browsers:"*\u30D6\u30E9\u30A6\u30B6\u30FC*: MathJax \u306F\u3001IE6 \u4EE5\u964D\u3001Chrome 0.2 \u4EE5\u964D\u3001Safari 2 \u4EE5\u964D\u3001Opera 9.6 \u4EE5\u964D\u3001\u307B\u3068\u3093\u3069\u306E\u30E2\u30D0\u30A4\u30EB \u30D6\u30E9\u30A6\u30B6\u30FC\u3092\u542B\u3080\u3001\u30E2\u30C0\u30F3 \u30D6\u30E9\u30A6\u30B6\u30FC\u3067\u52D5\u4F5C\u3057\u307E\u3059\u3002",Menu:"*\u6570\u5F0F\u30E1\u30CB\u30E5\u30FC*: MathJax \u306F\u6570\u5F0F\u306B\u30B3\u30F3\u30C6\u30AD\u30B9\u30C8 \u30E1\u30CB\u30E5\u30FC\u3092\u8FFD\u52A0\u3057\u307E\u3059\u3002\u4EFB\u610F\u306E\u6570\u5F0F\u3092\u53F3\u30AF\u30EA\u30C3\u30AF\u307E\u305F\u306F Ctrl+\u30AF\u30EA\u30C3\u30AF\u3059\u308B\u3068\u30E1\u30CB\u30E5\u30FC\u304C\u958B\u304D\u307E\u3059\u3002",ShowMath:"*\u6570\u5F0F\u3092\u8868\u793A*\u3067\u306F\u3001\u6570\u5F0F\u306E\u30BD\u30FC\u30B9 \u30DE\u30FC\u30AF\u30A2\u30C3\u30D7\u3092\u8868\u793A\u3057\u3066\u30B3\u30D4\u30FC \u0026 \u30DA\u30FC\u30B9\u30C8\u3067\u304D\u307E\u3059 (MathML \u3084\u5143\u306E\u5F62\u5F0F\u3067)\u3002",Settings:"*\u8A2D\u5B9A*\u3067\u306F\u3001MathJax \u306E\u6A5F\u80FD\u3092\u5236\u5FA1\u3067\u304D\u307E\u3059\u3002\u6570\u5F0F\u306E\u30B5\u30A4\u30BA\u3001\u6570\u5F0F\u306E\u8868\u793A\u306B\u4F7F\u7528\u3059\u308B\u30E1\u30AB\u30CB\u30BA\u30E0\u306A\u3069\u3002",Language:"*\u8A00\u8A9E*\u3067\u306F\u3001MathJax \u304C\u30E1\u30CB\u30E5\u30FC\u3084\u8B66\u544A\u30E1\u30C3\u30BB\u30FC\u30B8\u306B\u4F7F\u7528\u3059\u308B\u8A00\u8A9E\u3092\u9078\u629E\u3067\u304D\u307E\u3059\u3002",Zoom:"*\u6570\u5F0F\u306E\u30BA\u30FC\u30E0*: \u6570\u5F0F\u3092\u8AAD\u307F\u53D6\u308B\u306E\u304C\u56F0\u96E3\u306A\u5834\u5408\u306F\u3001MathJax \u304C\u62E1\u5927\u3057\u3066\u8AAD\u307F\u3084\u3059\u304F\u3067\u304D\u307E\u3059\u3002",Accessibilty:"*\u30A2\u30AF\u30BB\u30B7\u30D3\u30EA\u30C6\u30A3*: MathJax \u306F\u81EA\u52D5\u7684\u306B\u30C6\u30AD\u30B9\u30C8 \u30EA\u30FC\u30C0\u30FC\u3067\u6570\u5F0F\u306B\u30A2\u30AF\u30BB\u30B9\u3067\u304D\u308B\u3088\u3046\u306B\u3057\u307E\u3059 (\u8996\u899A\u969C\u5BB3\u8005\u5411\u3051)\u3002",Fonts:"*\u30D5\u30A9\u30F3\u30C8*: MathJax \u306F\u3001\u7279\u5B9A\u306E\u6570\u5F0F\u30D5\u30A9\u30F3\u30C8\u304C\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3055\u308C\u3066\u3044\u308B\u5834\u5408\u306F\u305D\u308C\u3092\u4F7F\u7528\u3057\u3001\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3055\u308C\u3066\u3044\u306A\u3044\u5834\u5408\u306F Web \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u307E\u3059\u3002\u5FC5\u9808\u3067\u306F\u3042\u308A\u307E\u305B\u3093\u304C\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30ED\u30FC\u30AB\u30EB\u306B\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3067\u7D44\u7248\u304C\u9AD8\u901F\u5316\u3055\u308C\u307E\u3059\u3002[STIX \u30D5\u30A9\u30F3\u30C8](%1)\u3092\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3092\u304A\u52E7\u3081\u3057\u307E\u3059\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/HelpDialog.js");
+MathJax.Localization.addTranslation("ja","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"MathJax \u30D8\u30EB\u30D7",MathJax:"*MathJax* \u306F\u30A6\u30A7\u30D6 \u30DA\u30FC\u30B8\u306E\u88FD\u4F5C\u8005\u304C\u30DA\u30FC\u30B8\u306B\u6570\u5F0F\u3092\u57CB\u3081\u8FBC\u3081\u308B\u3088\u3046\u306B\u3059\u308B JavaScript \u30E9\u30A4\u30D6\u30E9\u30EA\u3067\u3059\u3002\u95B2\u89A7\u8005\u5074\u3067\u306F\u6570\u5F0F\u3092\u95B2\u89A7\u3059\u308B\u306E\u306B\u4F55\u3082\u5FC5\u8981\u3068\u3057\u307E\u305B\u3093\u3002",Browsers:"*\u30D6\u30E9\u30A6\u30B6\u30FC*: MathJax \u306F\u3001IE6 \u4EE5\u964D\u3001Chrome 0.2 \u4EE5\u964D\u3001Safari 2 \u4EE5\u964D\u3001Opera 9.6 \u4EE5\u964D\u3001\u307B\u3068\u3093\u3069\u306E\u30E2\u30D0\u30A4\u30EB \u30D6\u30E9\u30A6\u30B6\u30FC\u3092\u542B\u3080\u3001\u30E2\u30C0\u30F3 \u30D6\u30E9\u30A6\u30B6\u30FC\u3067\u52D5\u4F5C\u3057\u307E\u3059\u3002",Menu:"*\u6570\u5F0F\u30E1\u30CB\u30E5\u30FC*: MathJax \u306F\u6570\u5F0F\u306B\u30B3\u30F3\u30C6\u30AD\u30B9\u30C8 \u30E1\u30CB\u30E5\u30FC\u3092\u8FFD\u52A0\u3057\u307E\u3059\u3002\u4EFB\u610F\u306E\u6570\u5F0F\u3092\u53F3\u30AF\u30EA\u30C3\u30AF\u307E\u305F\u306F Ctrl+\u30AF\u30EA\u30C3\u30AF\u3059\u308B\u3068\u30E1\u30CB\u30E5\u30FC\u304C\u958B\u304D\u307E\u3059\u3002",ShowMath:"*\u6570\u5F0F\u3092\u8868\u793A*\u3067\u306F\u3001\u6570\u5F0F\u306E\u30BD\u30FC\u30B9 \u30DE\u30FC\u30AF\u30A2\u30C3\u30D7\u3092\u8868\u793A\u3057\u3066\u30B3\u30D4\u30FC \u0026 \u30DA\u30FC\u30B9\u30C8\u3067\u304D\u307E\u3059 (MathML \u3084\u5143\u306E\u5F62\u5F0F\u3067)\u3002",Settings:"*\u8A2D\u5B9A*\u3067\u306F\u3001MathJax \u306E\u6A5F\u80FD\u3092\u5236\u5FA1\u3067\u304D\u307E\u3059\u3002\u6570\u5F0F\u306E\u30B5\u30A4\u30BA\u3001\u6570\u5F0F\u306E\u8868\u793A\u306B\u4F7F\u7528\u3059\u308B\u30E1\u30AB\u30CB\u30BA\u30E0\u306A\u3069\u3002",Language:"*\u8A00\u8A9E*\u3067\u306F\u3001MathJax \u304C\u30E1\u30CB\u30E5\u30FC\u3084\u8B66\u544A\u30E1\u30C3\u30BB\u30FC\u30B8\u306B\u4F7F\u7528\u3059\u308B\u8A00\u8A9E\u3092\u9078\u629E\u3067\u304D\u307E\u3059\u3002",Zoom:"*\u6570\u5F0F\u306E\u30BA\u30FC\u30E0*: \u6570\u5F0F\u3092\u8AAD\u307F\u53D6\u308B\u306E\u304C\u56F0\u96E3\u306A\u5834\u5408\u306F\u3001MathJax \u304C\u62E1\u5927\u3057\u3066\u8AAD\u307F\u3084\u3059\u304F\u3067\u304D\u307E\u3059\u3002",Accessibilty:"*\u30A2\u30AF\u30BB\u30B7\u30D3\u30EA\u30C6\u30A3*: MathJax \u306F\u81EA\u52D5\u7684\u306B\u30C6\u30AD\u30B9\u30C8 \u30EA\u30FC\u30C0\u30FC\u3067\u6570\u5F0F\u306B\u30A2\u30AF\u30BB\u30B9\u3067\u304D\u308B\u3088\u3046\u306B\u3057\u307E\u3059 (\u8996\u899A\u969C\u5BB3\u8005\u5411\u3051)\u3002",Fonts:"*\u30D5\u30A9\u30F3\u30C8*: MathJax \u306F\u3001\u7279\u5B9A\u306E\u6570\u5F0F\u30D5\u30A9\u30F3\u30C8\u304C\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3055\u308C\u3066\u3044\u308B\u5834\u5408\u306F\u305D\u308C\u3092\u4F7F\u7528\u3057\u3001\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3055\u308C\u3066\u3044\u306A\u3044\u5834\u5408\u306F Web \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u307E\u3059\u3002\u5FC5\u9808\u3067\u306F\u3042\u308A\u307E\u305B\u3093\u304C\u3001\u30D5\u30A9\u30F3\u30C8\u3092\u30ED\u30FC\u30AB\u30EB\u306B\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3067\u7D44\u7248\u304C\u9AD8\u901F\u5316\u3055\u308C\u307E\u3059\u3002[STIX \u30D5\u30A9\u30F3\u30C8](%1)\u3092\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3092\u304A\u52E7\u3081\u3057\u307E\u3059\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/HelpDialog.js");
diff --git a/localization/ja/MathML.js b/localization/ja/MathML.js
index 15ed16f0af..9371f60467 100644
--- a/localization/ja/MathML.js
+++ b/localization/ja/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ja/MathML.js
+ *  /MathJax-v2/localization/ja/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u8AA4\u3063\u305F mglyph: %1",BadMglyphFont:"\u8AA4\u3063\u305F\u30D5\u30A9\u30F3\u30C8: %1",MathPlayer:"MathJax \u306F MathPlayer \u3092\u8A2D\u5B9A\u3067\u304D\u307E\u305B\u3093\u3067\u3057\u305F\u3002\n\nMathPlayer \u3092\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u3044\u306A\u3044\u5834\u5408\u306F\u3001\n\u307E\u305A\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u5FC5\u8981\u304C\u3042\u308A\u307E\u3059\u3002\n\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u3044\u308B\u5834\u5408\u306F\u3001\u30BB\u30AD\u30E5\u30EA\u30C6\u30A3\u306E\u8A2D\u5B9A\u3067 ActiveX\n\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB\u306E\u5B9F\u884C\u3092\u62D2\u5426\u3057\u3066\u3044\u308B\u5834\u5408\u304C\u3042\u308A\u307E\u3059\u3002\n[\u30C4\u30FC\u30EB] \u30E1\u30CB\u30E5\u30FC\u306E [\u30A4\u30F3\u30BF\u30FC\u30CD\u30C3\u30C8 \u30AA\u30D7\u30B7\u30E7\u30F3] \u3067\u3001\n[\u30BB\u30AD\u30E5\u30EA\u30C6\u30A3] \u30BF\u30D6\u306E [\u30EC\u30D9\u30EB\u306E\u30AB\u30B9\u30BF\u30DE\u30A4\u30BA] \u3092\u62BC\u3057\u3066\u304F\u3060\u3055\u3044\u3002\n[Active \u30B3\u30F3\u30C8\u30ED\u30FC\u30EB\u306E\u5B9F\u884C] \u3068 [\u30D0\u30A4\u30CA\u30EA \u30D3\u30D8\u30A4\u30D3\u30A2\u30FC\u3068\u30B9\u30AF\u30EA\u30D7\u30C8\n\u30D3\u30D8\u30A4\u30D3\u30A2\u30FC] \u304C\u6709\u52B9\u306B\u306A\u3063\u3066\u3044\u308B\u3053\u3068\u3092\u78BA\u8A8D\u3057\u3066\u304F\u3060\u3055\u3044\u3002\n\n\u73FE\u6642\u70B9\u3067\u306F\u3001\u6570\u5F0F\u304C\u7D44\u7248\u3055\u308C\u305A\u3001\u30A8\u30E9\u30FC \u30E1\u30C3\u30BB\u30FC\u30B8\u304C\u8868\u793A\u3055\u308C\u307E\u3059\u3002",CantCreateXMLParser:"MathJax \u306F MathML \u7528\u306E XML \u30D1\u30FC\u30B5\u30FC\u3092\u4F5C\u6210\u3067\u304D\u307E\u305B\u3093\u3067\u3057\u305F\u3002\n\u300C\u30B9\u30AF\u30EA\u30D7\u30C8\u3092\u5B9F\u884C\u3057\u3066\u3082\u5B89\u5168\u3060\u3068\u30DE\u30FC\u30AF\u3055\u308C\u3066\u3044\u308B ActiveX\n\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB\u306E\u30B9\u30AF\u30EA\u30D7\u30C8\u306E\u5B9F\u884C\u300D\u3092\u6709\u52B9\u306B\u3057\u3066\u3044\u308B\u304B\u78BA\u8A8D\u3057\u3066\u304F\u3060\u3055\u3044\n([\u30C4\u30FC\u30EB] \u30E1\u30CB\u30E5\u30FC\u306E [\u30A4\u30F3\u30BF\u30FC\u30CD\u30C3\u30C8 \u30AA\u30D7\u30B7\u30E7\u30F3] \u3092\u9078\u629E\u3057\u3001\n[\u30BB\u30AD\u30E5\u30EA\u30C6\u30A3] \u30BF\u30D6\u306E [\u30EC\u30D9\u30EB\u306E\u30AB\u30B9\u30BF\u30DE\u30A4\u30BA] \u3067\u78BA\u8A8D\u3067\u304D\u307E\u3059)\u3002\n\nMathML \u306E\u6570\u5F0F\u3092 MathML \u304C\u51E6\u7406\u3067\u304D\u306A\u304F\u306A\u308A\u307E\u3059\u3002",UnknownNodeType:"\u4E0D\u660E\u306A\u7A2E\u985E\u306E\u30CE\u30FC\u30C9: %1",UnexpectedTextNode:"\u4E88\u671F\u3057\u306A\u3044\u30C6\u30AD\u30B9\u30C8 \u30CE\u30FC\u30C9: %1",ErrorParsingMathML:"MathML \u306E\u69CB\u6587\u89E3\u6790\u30A8\u30E9\u30FC",ParsingError:"MathML \u306E\u69CB\u6587\u89E3\u6790\u30A8\u30E9\u30FC: %1",MathMLSingleElement:"MathML \u306F\u5358\u4E00\u306E\u8981\u7D20\u3067\u69CB\u6210\u3057\u3066\u304F\u3060\u3055\u3044",MathMLRootElement:"MathML \u306F %1 \u3067\u306F\u306A\u304F \u003Cmath\u003E \u8981\u7D20\u3067\u69CB\u6210\u3057\u3066\u304F\u3060\u3055\u3044"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/MathML.js");
+MathJax.Localization.addTranslation("ja","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"\u8AA4\u3063\u305F mglyph: %1",BadMglyphFont:"\u8AA4\u3063\u305F\u30D5\u30A9\u30F3\u30C8: %1",MathPlayer:"MathJax \u306F MathPlayer \u3092\u8A2D\u5B9A\u3067\u304D\u307E\u305B\u3093\u3067\u3057\u305F\u3002\n\nMathPlayer \u3092\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u3044\u306A\u3044\u5834\u5408\u306F\u3001\n\u307E\u305A\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u5FC5\u8981\u304C\u3042\u308A\u307E\u3059\u3002\n\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3057\u3066\u3044\u308B\u5834\u5408\u306F\u3001\u30BB\u30AD\u30E5\u30EA\u30C6\u30A3\u306E\u8A2D\u5B9A\u3067 ActiveX\n\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB\u306E\u5B9F\u884C\u3092\u62D2\u5426\u3057\u3066\u3044\u308B\u5834\u5408\u304C\u3042\u308A\u307E\u3059\u3002\n[\u30C4\u30FC\u30EB] \u30E1\u30CB\u30E5\u30FC\u306E [\u30A4\u30F3\u30BF\u30FC\u30CD\u30C3\u30C8 \u30AA\u30D7\u30B7\u30E7\u30F3] \u3067\u3001\n[\u30BB\u30AD\u30E5\u30EA\u30C6\u30A3] \u30BF\u30D6\u306E [\u30EC\u30D9\u30EB\u306E\u30AB\u30B9\u30BF\u30DE\u30A4\u30BA] \u3092\u62BC\u3057\u3066\u304F\u3060\u3055\u3044\u3002\n[Active \u30B3\u30F3\u30C8\u30ED\u30FC\u30EB\u306E\u5B9F\u884C] \u3068 [\u30D0\u30A4\u30CA\u30EA \u30D3\u30D8\u30A4\u30D3\u30A2\u30FC\u3068\u30B9\u30AF\u30EA\u30D7\u30C8\n\u30D3\u30D8\u30A4\u30D3\u30A2\u30FC] \u304C\u6709\u52B9\u306B\u306A\u3063\u3066\u3044\u308B\u3053\u3068\u3092\u78BA\u8A8D\u3057\u3066\u304F\u3060\u3055\u3044\u3002\n\n\u73FE\u6642\u70B9\u3067\u306F\u3001\u6570\u5F0F\u304C\u7D44\u7248\u3055\u308C\u305A\u3001\u30A8\u30E9\u30FC \u30E1\u30C3\u30BB\u30FC\u30B8\u304C\u8868\u793A\u3055\u308C\u307E\u3059\u3002",CantCreateXMLParser:"MathJax \u306F MathML \u7528\u306E XML \u30D1\u30FC\u30B5\u30FC\u3092\u4F5C\u6210\u3067\u304D\u307E\u305B\u3093\u3067\u3057\u305F\u3002\n\u300C\u30B9\u30AF\u30EA\u30D7\u30C8\u3092\u5B9F\u884C\u3057\u3066\u3082\u5B89\u5168\u3060\u3068\u30DE\u30FC\u30AF\u3055\u308C\u3066\u3044\u308B ActiveX\n\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB\u306E\u30B9\u30AF\u30EA\u30D7\u30C8\u306E\u5B9F\u884C\u300D\u3092\u6709\u52B9\u306B\u3057\u3066\u3044\u308B\u304B\u78BA\u8A8D\u3057\u3066\u304F\u3060\u3055\u3044\n([\u30C4\u30FC\u30EB] \u30E1\u30CB\u30E5\u30FC\u306E [\u30A4\u30F3\u30BF\u30FC\u30CD\u30C3\u30C8 \u30AA\u30D7\u30B7\u30E7\u30F3] \u3092\u9078\u629E\u3057\u3001\n[\u30BB\u30AD\u30E5\u30EA\u30C6\u30A3] \u30BF\u30D6\u306E [\u30EC\u30D9\u30EB\u306E\u30AB\u30B9\u30BF\u30DE\u30A4\u30BA] \u3067\u78BA\u8A8D\u3067\u304D\u307E\u3059)\u3002\n\nMathML \u306E\u6570\u5F0F\u3092 MathML \u304C\u51E6\u7406\u3067\u304D\u306A\u304F\u306A\u308A\u307E\u3059\u3002",UnknownNodeType:"\u4E0D\u660E\u306A\u7A2E\u985E\u306E\u30CE\u30FC\u30C9: %1",UnexpectedTextNode:"\u4E88\u671F\u3057\u306A\u3044\u30C6\u30AD\u30B9\u30C8 \u30CE\u30FC\u30C9: %1",ErrorParsingMathML:"MathML \u306E\u69CB\u6587\u89E3\u6790\u30A8\u30E9\u30FC",ParsingError:"MathML \u306E\u69CB\u6587\u89E3\u6790\u30A8\u30E9\u30FC: %1",MathMLSingleElement:"MathML \u306F\u5358\u4E00\u306E\u8981\u7D20\u3067\u69CB\u6210\u3057\u3066\u304F\u3060\u3055\u3044",MathMLRootElement:"MathML \u306F %1 \u3067\u306F\u306A\u304F \u003Cmath\u003E \u8981\u7D20\u3067\u69CB\u6210\u3057\u3066\u304F\u3060\u3055\u3044"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/MathML.js");
diff --git a/localization/ja/MathMenu.js b/localization/ja/MathMenu.js
index 6955d8278a..6f65327f7d 100644
--- a/localization/ja/MathMenu.js
+++ b/localization/ja/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ja/MathMenu.js
+ *  /MathJax-v2/localization/ja/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u6570\u5F0F\u3092\u6B21\u306E\u5F62\u5F0F\u3067\u8868\u793A",MathMLcode:"MathML \u30B3\u30FC\u30C9",OriginalMathML:"\u5143\u306E MathML",TeXCommands:"TeX \u30B3\u30DE\u30F3\u30C9",AsciiMathInput:"AsciiMathML \u5165\u529B",Original:"\u5143\u306E\u5F62\u5F0F",ErrorMessage:"\u30A8\u30E9\u30FC \u30E1\u30C3\u30BB\u30FC\u30B8",Annotation:"\u6CE8\u91C8",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"MathML \u3067 TeX \u306E\u30D2\u30F3\u30C8\u3092\u8868\u793A",Settings:"\u6570\u5F0F\u306E\u8A2D\u5B9A",ZoomTrigger:"\u30BA\u30FC\u30E0\u306E\u958B\u59CB\u64CD\u4F5C",Hover:"\u30DB\u30D0\u30FC",Click:"\u30AF\u30EA\u30C3\u30AF",DoubleClick:"\u30C0\u30D6\u30EB\u30AF\u30EA\u30C3\u30AF",NoZoom:"\u30BA\u30FC\u30E0\u306A\u3057",TriggerRequires:"\u5FC5\u8981\u306A\u30AD\u30FC:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u30BA\u30FC\u30E0\u306E\u500D\u7387",Renderer:"\u6570\u5F0F\u30EC\u30F3\u30C0\u30E9\u30FC",MPHandles:"\u6570\u5F0F\u30D7\u30EC\u30FC\u30E4\u30FC\u306B\u51E6\u7406\u3055\u305B\u308B\u30A4\u30D9\u30F3\u30C8:",MenuEvents:"\u30E1\u30CB\u30E5\u30FC \u30A4\u30D9\u30F3\u30C8",MouseEvents:"\u30DE\u30A6\u30B9 \u30A4\u30D9\u30F3\u30C8",MenuAndMouse:"\u30DE\u30A6\u30B9\u3068\u30E1\u30CB\u30E5\u30FC\u306E\u30A4\u30D9\u30F3\u30C8",FontPrefs:"\u30D5\u30A9\u30F3\u30C8\u306E\u8A2D\u5B9A",ForHTMLCSS:"HTML-CSS:",Auto:"\u81EA\u52D5",TeXLocal:"TeX (\u30ED\u30FC\u30AB\u30EB)",TeXWeb:"TeX (Web)",TeXImage:"TeX (\u753B\u50CF)",STIXLocal:"STIX (\u30ED\u30FC\u30AB\u30EB)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latin Modern (Web)",NeoEulerWeb:"Neo Euler (Web)",ContextMenu:"\u30B3\u30F3\u30C6\u30AD\u30B9\u30C8 \u30E1\u30CB\u30E5\u30FC",Browser:"\u30D6\u30E9\u30A6\u30B6\u30FC",Scale:"\u3059\u3079\u3066\u306E\u6570\u5F0F\u306E\u500D\u7387\u3092\u5909\u66F4...",Discoverable:"\u30DB\u30D0\u30FC\u6642\u306B\u5F37\u8ABF",Locale:"\u8A00\u8A9E",LoadLocale:"URL \u304B\u3089\u8AAD\u307F\u8FBC\u3080...",About:"MathJax \u306B\u3064\u3044\u3066",Help:"MathJax \u30D8\u30EB\u30D7",localTeXfonts:"\u30ED\u30FC\u30AB\u30EB TeX \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",webTeXfonts:"Web TeX \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",imagefonts:"\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",localSTIXfonts:"\u30ED\u30FC\u30AB\u30EB STIX \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",webSVGfonts:"Web SVG \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",genericfonts:"\u6C4E\u7528 Unicode \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",wofforotffonts:"WOFF \u30D5\u30A9\u30F3\u30C8\u307E\u305F\u306F OTF \u30D5\u30A9\u30F3\u30C8",eotffonts:"EOT \u30D5\u30A9\u30F3\u30C8",svgfonts:"SVG \u30D5\u30A9\u30F3\u30C8",WebkitNativeMMLWarning:"\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306F MathML \u306B\u30CD\u30A4\u30C6\u30A3\u30D6\u5BFE\u5FDC\u3057\u3066\u3044\u306A\u3044\u3068\u601D\u308F\u308C\u308B\u305F\u3081\u3001MathML \u51FA\u529B\u306B\u5207\u308A\u66FF\u3048\u308B\u3068\u30DA\u30FC\u30B8\u5185\u306E\u6570\u5F0F\u304C\u5224\u8AAD\u4E0D\u80FD\u306B\u306A\u308B\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",MSIENativeMMLWarning:"Internet Explorer \u3067\u306F\u3001MathML \u51FA\u529B\u3092\u51E6\u7406\u3059\u308B\u305F\u3081\u306B MathPlayer \u30D7\u30E9\u30B0\u30A4\u30F3\u304C\u5FC5\u8981\u3067\u3059\u3002",OperaNativeMMLWarning:"Opera \u306F MathML \u306B\u5B8C\u5168\u306B\u306F\u5BFE\u5FDC\u3057\u3066\u3044\u306A\u3044\u305F\u3081\u3001MathML \u51FA\u529B\u306B\u5207\u308A\u66FF\u3048\u308B\u3068\u6570\u5F0F\u306E\u63CF\u753B\u304C\u4E0D\u5B8C\u5168\u306B\u306A\u308B\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",SafariNativeMMLWarning:"\u3042\u306A\u305F\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306E\u30CD\u30A4\u30C6\u30A3\u30D6 MathML \u306F\u3001MathJax \u304C\u4F7F\u7528\u3059\u308B\u6A5F\u80FD\u3092\u3059\u3079\u3066\u306F\u5B9F\u88C5\u3057\u3066\u3044\u306A\u3044\u305F\u3081\u3001\u6570\u5F0F\u306E\u4E00\u90E8\u304C\u9069\u5207\u306B\u63CF\u753B\u3055\u308C\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",FirefoxNativeMMLWarning:"\u3042\u306A\u305F\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306E\u30CD\u30A4\u30C6\u30A3\u30D6 MathML \u306F\u3001MathJax \u304C\u4F7F\u7528\u3059\u308B\u6A5F\u80FD\u3092\u3059\u3079\u3066\u306F\u5B9F\u88C5\u3057\u3066\u3044\u306A\u3044\u305F\u3081\u3001\u6570\u5F0F\u306E\u4E00\u90E8\u304C\u9069\u5207\u306B\u63CF\u753B\u3055\u308C\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",MSIESVGWarning:"IE9 \u3088\u308A\u524D\u306E\u30D0\u30FC\u30B8\u30E7\u30F3\u306E\u5834\u5408\u3001\u307E\u305F\u306F IE8 \u4EE5\u524D\u3092\u30A8\u30DF\u30E5\u30EC\u30FC\u30C8\u3057\u3066\u3044\u308B\u5834\u5408\u3001Internet Explorer \u306B\u306F SVG \u304C\u5B9F\u88C5\u3055\u308C\u3066\u3044\u307E\u305B\u3093\u3002SVG \u306B\u5207\u308A\u66FF\u3048\u308B\u3068\u3001\u6570\u5F0F\u304C\u9069\u5207\u306B\u8868\u793A\u3055\u308C\u306A\u304F\u306A\u308A\u307E\u3059\u3002",LoadURL:"\u7FFB\u8A33\u30C7\u30FC\u30BF\u3092\u8AAD\u307F\u8FBC\u3080 URL:",BadURL:"MathJax \u7FFB\u8A33\u30C7\u30FC\u30BF\u3092\u5B9A\u7FA9\u3059\u308B JavaScript \u30D5\u30A1\u30A4\u30EB\u306E URL \u3067\u3042\u308B\u5FC5\u8981\u304C\u3042\u308A\u3001JavaScript \u306E\u30D5\u30A1\u30A4\u30EB\u540D\u306E\u672B\u5C3E\u306F\u300C.js\u300D\u3067\u3042\u308B\u5FC5\u8981\u304C\u3042\u308A\u307E\u3059\u3002",BadData:"%1 \u304B\u3089\u7FFB\u8A33\u30C7\u30FC\u30BF\u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093\u3067\u3057\u305F",SwitchAnyway:"\u30EC\u30F3\u30C0\u30E9\u30FC\u3092\u672C\u5F53\u306B\u5207\u308A\u66FF\u3048\u307E\u3059\u304B?\n\n(\u5207\u308A\u66FF\u3048\u308B\u306B\u306F OK \u3092\u3001\u73FE\u5728\u306E\u30EC\u30F3\u30C0\u30E9\u30FC\u306E\u307E\u307E\u306B\u3059\u308B\u306B\u306F\u30AD\u30E3\u30F3\u30BB\u30EB\u3092\u62BC\u3057\u3066\u304F\u3060\u3055\u3044)",ScaleMath:"\u3059\u3079\u3066\u306E\u6570\u5F0F\u306E\u500D\u7387 (\u5468\u56F2\u306E\u30C6\u30AD\u30B9\u30C8\u3068\u306E\u6BD4)",NonZeroScale:"\u500D\u7387\u306B 0 \u306F\u6307\u5B9A\u3067\u304D\u307E\u305B\u3093",PercentScale:"\u500D\u7387\u306F\u767E\u5206\u7387\u3067\u306A\u3051\u308C\u3070\u306A\u308A\u307E\u305B\u3093 (\u4F8B: 120%%)",IE8warning:"MathJax \u306E\u30E1\u30CB\u30E5\u30FC\u3068\u30BA\u30FC\u30E0\u6A5F\u80FD\u304C\u7121\u52B9\u306B\u306A\u308A\u307E\u3059\u304C\u3001\u4EE3\u308F\u308A\u306B\u6570\u5F0F\u3092 Alt+\u30AF\u30EA\u30C3\u30AF\u3059\u308B\u3068 MathJax \u306E\u30E1\u30CB\u30E5\u30FC\u3092\u4F7F\u7528\u3067\u304D\u307E\u3059\u3002\n\nMathPlayer \u306E\u8A2D\u5B9A\u3092\u672C\u5F53\u306B\u5909\u66F4\u3057\u307E\u3059\u304B?",IE9warning:"MathJax \u306E\u30B3\u30F3\u30C6\u30AD\u30B9\u30C8 \u30E1\u30CB\u30E5\u30FC\u304C\u7121\u52B9\u306B\u306A\u308A\u307E\u3059\u304C\u3001\u4EE3\u308F\u308A\u306B\u6570\u5F0F\u3092 Alt+\u30AF\u30EA\u30C3\u30AF\u3059\u308B\u3068 MathJax \u306E\u30E1\u30CB\u30E5\u30FC\u3092\u4F7F\u7528\u3067\u304D\u307E\u3059\u3002",NoOriginalForm:"\u5143\u306E\u5F62\u5F0F\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093",Close:"\u9589\u3058\u308B",EqSource:"MathJax \u6570\u5F0F\u306E\u30BD\u30FC\u30B9"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/MathMenu.js");
+MathJax.Localization.addTranslation("ja","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u6570\u5F0F\u3092\u6B21\u306E\u5F62\u5F0F\u3067\u8868\u793A",MathMLcode:"MathML \u30B3\u30FC\u30C9",OriginalMathML:"\u5143\u306E MathML",TeXCommands:"TeX \u30B3\u30DE\u30F3\u30C9",AsciiMathInput:"AsciiMathML \u5165\u529B",Original:"\u5143\u306E\u5F62\u5F0F",ErrorMessage:"\u30A8\u30E9\u30FC \u30E1\u30C3\u30BB\u30FC\u30B8",Annotation:"\u6CE8\u91C8",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"MathML \u3067 TeX \u306E\u30D2\u30F3\u30C8\u3092\u8868\u793A",Settings:"\u6570\u5F0F\u306E\u8A2D\u5B9A",ZoomTrigger:"\u30BA\u30FC\u30E0\u306E\u958B\u59CB\u64CD\u4F5C",Hover:"\u30DB\u30D0\u30FC",Click:"\u30AF\u30EA\u30C3\u30AF",DoubleClick:"\u30C0\u30D6\u30EB\u30AF\u30EA\u30C3\u30AF",NoZoom:"\u30BA\u30FC\u30E0\u306A\u3057",TriggerRequires:"\u5FC5\u8981\u306A\u30AD\u30FC:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u30BA\u30FC\u30E0\u306E\u500D\u7387",Renderer:"\u6570\u5F0F\u30EC\u30F3\u30C0\u30E9\u30FC",MPHandles:"\u6570\u5F0F\u30D7\u30EC\u30FC\u30E4\u30FC\u306B\u51E6\u7406\u3055\u305B\u308B\u30A4\u30D9\u30F3\u30C8:",MenuEvents:"\u30E1\u30CB\u30E5\u30FC \u30A4\u30D9\u30F3\u30C8",MouseEvents:"\u30DE\u30A6\u30B9 \u30A4\u30D9\u30F3\u30C8",MenuAndMouse:"\u30DE\u30A6\u30B9\u3068\u30E1\u30CB\u30E5\u30FC\u306E\u30A4\u30D9\u30F3\u30C8",FontPrefs:"\u30D5\u30A9\u30F3\u30C8\u306E\u8A2D\u5B9A",ForHTMLCSS:"HTML-CSS:",Auto:"\u81EA\u52D5",TeXLocal:"TeX (\u30ED\u30FC\u30AB\u30EB)",TeXWeb:"TeX (Web)",TeXImage:"TeX (\u753B\u50CF)",STIXLocal:"STIX (\u30ED\u30FC\u30AB\u30EB)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latin Modern (Web)",NeoEulerWeb:"Neo Euler (Web)",ContextMenu:"\u30B3\u30F3\u30C6\u30AD\u30B9\u30C8 \u30E1\u30CB\u30E5\u30FC",Browser:"\u30D6\u30E9\u30A6\u30B6\u30FC",Scale:"\u3059\u3079\u3066\u306E\u6570\u5F0F\u306E\u500D\u7387\u3092\u5909\u66F4...",Discoverable:"\u30DB\u30D0\u30FC\u6642\u306B\u5F37\u8ABF",Locale:"\u8A00\u8A9E",LoadLocale:"URL \u304B\u3089\u8AAD\u307F\u8FBC\u3080...",About:"MathJax \u306B\u3064\u3044\u3066",Help:"MathJax \u30D8\u30EB\u30D7",localTeXfonts:"\u30ED\u30FC\u30AB\u30EB TeX \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",webTeXfonts:"Web TeX \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",imagefonts:"\u753B\u50CF\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",localSTIXfonts:"\u30ED\u30FC\u30AB\u30EB STIX \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",webSVGfonts:"Web SVG \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",genericfonts:"\u6C4E\u7528 Unicode \u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528",wofforotffonts:"WOFF \u30D5\u30A9\u30F3\u30C8\u307E\u305F\u306F OTF \u30D5\u30A9\u30F3\u30C8",eotffonts:"EOT \u30D5\u30A9\u30F3\u30C8",svgfonts:"SVG \u30D5\u30A9\u30F3\u30C8",WebkitNativeMMLWarning:"\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306F MathML \u306B\u30CD\u30A4\u30C6\u30A3\u30D6\u5BFE\u5FDC\u3057\u3066\u3044\u306A\u3044\u3068\u601D\u308F\u308C\u308B\u305F\u3081\u3001MathML \u51FA\u529B\u306B\u5207\u308A\u66FF\u3048\u308B\u3068\u30DA\u30FC\u30B8\u5185\u306E\u6570\u5F0F\u304C\u5224\u8AAD\u4E0D\u80FD\u306B\u306A\u308B\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",MSIENativeMMLWarning:"Internet Explorer \u3067\u306F\u3001MathML \u51FA\u529B\u3092\u51E6\u7406\u3059\u308B\u305F\u3081\u306B MathPlayer \u30D7\u30E9\u30B0\u30A4\u30F3\u304C\u5FC5\u8981\u3067\u3059\u3002",OperaNativeMMLWarning:"Opera \u306F MathML \u306B\u5B8C\u5168\u306B\u306F\u5BFE\u5FDC\u3057\u3066\u3044\u306A\u3044\u305F\u3081\u3001MathML \u51FA\u529B\u306B\u5207\u308A\u66FF\u3048\u308B\u3068\u6570\u5F0F\u306E\u63CF\u753B\u304C\u4E0D\u5B8C\u5168\u306B\u306A\u308B\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",SafariNativeMMLWarning:"\u3042\u306A\u305F\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306E\u30CD\u30A4\u30C6\u30A3\u30D6 MathML \u306F\u3001MathJax \u304C\u4F7F\u7528\u3059\u308B\u6A5F\u80FD\u3092\u3059\u3079\u3066\u306F\u5B9F\u88C5\u3057\u3066\u3044\u306A\u3044\u305F\u3081\u3001\u6570\u5F0F\u306E\u4E00\u90E8\u304C\u9069\u5207\u306B\u63CF\u753B\u3055\u308C\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",FirefoxNativeMMLWarning:"\u3042\u306A\u305F\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306E\u30CD\u30A4\u30C6\u30A3\u30D6 MathML \u306F\u3001MathJax \u304C\u4F7F\u7528\u3059\u308B\u6A5F\u80FD\u3092\u3059\u3079\u3066\u306F\u5B9F\u88C5\u3057\u3066\u3044\u306A\u3044\u305F\u3081\u3001\u6570\u5F0F\u306E\u4E00\u90E8\u304C\u9069\u5207\u306B\u63CF\u753B\u3055\u308C\u306A\u3044\u304A\u305D\u308C\u304C\u3042\u308A\u307E\u3059\u3002",MSIESVGWarning:"IE9 \u3088\u308A\u524D\u306E\u30D0\u30FC\u30B8\u30E7\u30F3\u306E\u5834\u5408\u3001\u307E\u305F\u306F IE8 \u4EE5\u524D\u3092\u30A8\u30DF\u30E5\u30EC\u30FC\u30C8\u3057\u3066\u3044\u308B\u5834\u5408\u3001Internet Explorer \u306B\u306F SVG \u304C\u5B9F\u88C5\u3055\u308C\u3066\u3044\u307E\u305B\u3093\u3002SVG \u306B\u5207\u308A\u66FF\u3048\u308B\u3068\u3001\u6570\u5F0F\u304C\u9069\u5207\u306B\u8868\u793A\u3055\u308C\u306A\u304F\u306A\u308A\u307E\u3059\u3002",LoadURL:"\u7FFB\u8A33\u30C7\u30FC\u30BF\u3092\u8AAD\u307F\u8FBC\u3080 URL:",BadURL:"MathJax \u7FFB\u8A33\u30C7\u30FC\u30BF\u3092\u5B9A\u7FA9\u3059\u308B JavaScript \u30D5\u30A1\u30A4\u30EB\u306E URL \u3067\u3042\u308B\u5FC5\u8981\u304C\u3042\u308A\u3001JavaScript \u306E\u30D5\u30A1\u30A4\u30EB\u540D\u306E\u672B\u5C3E\u306F\u300C.js\u300D\u3067\u3042\u308B\u5FC5\u8981\u304C\u3042\u308A\u307E\u3059\u3002",BadData:"%1 \u304B\u3089\u7FFB\u8A33\u30C7\u30FC\u30BF\u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093\u3067\u3057\u305F",SwitchAnyway:"\u30EC\u30F3\u30C0\u30E9\u30FC\u3092\u672C\u5F53\u306B\u5207\u308A\u66FF\u3048\u307E\u3059\u304B?\n\n(\u5207\u308A\u66FF\u3048\u308B\u306B\u306F OK \u3092\u3001\u73FE\u5728\u306E\u30EC\u30F3\u30C0\u30E9\u30FC\u306E\u307E\u307E\u306B\u3059\u308B\u306B\u306F\u30AD\u30E3\u30F3\u30BB\u30EB\u3092\u62BC\u3057\u3066\u304F\u3060\u3055\u3044)",ScaleMath:"\u3059\u3079\u3066\u306E\u6570\u5F0F\u306E\u500D\u7387 (\u5468\u56F2\u306E\u30C6\u30AD\u30B9\u30C8\u3068\u306E\u6BD4)",NonZeroScale:"\u500D\u7387\u306B 0 \u306F\u6307\u5B9A\u3067\u304D\u307E\u305B\u3093",PercentScale:"\u500D\u7387\u306F\u767E\u5206\u7387\u3067\u306A\u3051\u308C\u3070\u306A\u308A\u307E\u305B\u3093 (\u4F8B: 120%%)",IE8warning:"MathJax \u306E\u30E1\u30CB\u30E5\u30FC\u3068\u30BA\u30FC\u30E0\u6A5F\u80FD\u304C\u7121\u52B9\u306B\u306A\u308A\u307E\u3059\u304C\u3001\u4EE3\u308F\u308A\u306B\u6570\u5F0F\u3092 Alt+\u30AF\u30EA\u30C3\u30AF\u3059\u308B\u3068 MathJax \u306E\u30E1\u30CB\u30E5\u30FC\u3092\u4F7F\u7528\u3067\u304D\u307E\u3059\u3002\n\nMathPlayer \u306E\u8A2D\u5B9A\u3092\u672C\u5F53\u306B\u5909\u66F4\u3057\u307E\u3059\u304B?",IE9warning:"MathJax \u306E\u30B3\u30F3\u30C6\u30AD\u30B9\u30C8 \u30E1\u30CB\u30E5\u30FC\u304C\u7121\u52B9\u306B\u306A\u308A\u307E\u3059\u304C\u3001\u4EE3\u308F\u308A\u306B\u6570\u5F0F\u3092 Alt+\u30AF\u30EA\u30C3\u30AF\u3059\u308B\u3068 MathJax \u306E\u30E1\u30CB\u30E5\u30FC\u3092\u4F7F\u7528\u3067\u304D\u307E\u3059\u3002",NoOriginalForm:"\u5143\u306E\u5F62\u5F0F\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093",Close:"\u9589\u3058\u308B",EqSource:"MathJax \u6570\u5F0F\u306E\u30BD\u30FC\u30B9"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/MathMenu.js");
diff --git a/localization/ja/TeX.js b/localization/ja/TeX.js
index 77a3eb23a6..b476c29e85 100644
--- a/localization/ja/TeX.js
+++ b/localization/ja/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ja/TeX.js
+ *  /MathJax-v2/localization/ja/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u4F59\u5206\u3001\u307E\u305F\u306F\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",ExtraCloseMissingOpen:"\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4F59\u5206\u3001\u307E\u305F\u306F\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",MissingLeftExtraRight:"\\left \u304C\u4E0D\u8DB3\u3001\u307E\u305F\u306F \\right \u304C\u4F59\u5206\u3067\u3059",MissingScript:"\u4E0A\u4ED8\u304D\u307E\u305F\u306F\u4E0B\u4ED8\u304D\u306E\u5F15\u6570\u304C\u3042\u308A\u307E\u305B\u3093",ExtraLeftMissingRight:"\\left \u304C\u4F59\u5206\u3001\u307E\u305F\u306F \\right \u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",Misplaced:"%1 \u306E\u4F4D\u7F6E\u304C\u6B63\u3057\u304F\u3042\u308A\u307E\u305B\u3093",MissingOpenForSub:"\u4E0B\u4ED8\u304D\u306E\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u3042\u308A\u307E\u305B\u3093",MissingOpenForSup:"\u4E0A\u4ED8\u304D\u306E\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u3042\u308A\u307E\u305B\u3093",AmbiguousUseOf:"%1 \u306E\u8A18\u8FF0\u304C\u66D6\u6627\u3067\u3059",EnvBadEnd:"\\begin{%1} \u304C \\end{%2} \u3067\u7D42\u4E86\u3057\u3066\u3044\u307E\u3059",EnvMissingEnd:"\\end{%1} \u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",MissingBoxFor:"%1 \u306E\u30DC\u30C3\u30AF\u30B9\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",MissingCloseBrace:"\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",UndefinedControlSequence:"\u672A\u5B9A\u7FA9\u306E\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9 %1",DoubleExponent:"\u4E8C\u91CD\u306E\u4E0A\u4ED8\u304D: \u4E2D\u62EC\u5F27\u3092\u4F7F\u7528\u3057\u3066\u660E\u78BA\u306B\u3057\u3066\u304F\u3060\u3055\u3044",DoubleSubscripts:"\u4E8C\u91CD\u306E\u4E0B\u4ED8\u304D: \u4E2D\u62EC\u5F27\u3092\u4F7F\u7528\u3057\u3066\u660E\u78BA\u306B\u3057\u3066\u304F\u3060\u3055\u3044",DoubleExponentPrime:"\u30D7\u30E9\u30A4\u30E0\u8A18\u53F7\u306B\u3088\u308B\u4E8C\u91CD\u306E\u4E0A\u4ED8\u304D: \u4E2D\u62EC\u5F27\u3092\u4F7F\u7528\u3057\u3066\u660E\u78BA\u306B\u3057\u3066\u304F\u3060\u3055\u3044",CantUseHash1:"\u6570\u5F0F\u30E2\u30FC\u30C9\u3067\u306F\u300C\u30DE\u30AF\u30ED \u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u6587\u5B57 #\u300D\u306F\u4F7F\u7528\u3067\u304D\u307E\u305B\u3093",MisplacedMiddle:"%1 \u306F \\left \u3068 \\right \u306E\u9593\u306B\u914D\u7F6E\u3057\u3066\u304F\u3060\u3055\u3044",MisplacedLimits:"%1 \u306F\u6F14\u7B97\u5B50\u306E\u307F\u306B\u4F7F\u7528\u3067\u304D\u307E\u3059",MisplacedMoveRoot:"%1 \u306F\u30EB\u30FC\u30C8\u5185\u3067\u306E\u307F\u4F7F\u7528\u3067\u304D\u307E\u3059",MultipleCommand:"%1 \u304C\u8907\u6570\u3042\u308A\u307E\u3059",IntegerArg:"%1 \u306E\u5F15\u6570\u306F\u6574\u6570\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NotMathMLToken:"%1 \u306F\u30C8\u30FC\u30AF\u30F3\u8981\u7D20\u3067\u306F\u3042\u308A\u307E\u305B\u3093",InvalidMathMLAttr:"\u7121\u52B9\u306A MathML \u5C5E\u6027: %1",UnknownAttrForElement:"%1 \u3092 %2 \u306E\u5C5E\u6027\u3068\u3057\u3066\u8A8D\u8B58\u3067\u304D\u307E\u305B\u3093",MaxMacroSub1:"MathJax \u306E\u30DE\u30AF\u30ED\u5C55\u958B\u56DE\u6570\u306E\u4E0A\u9650\u306B\u9054\u3057\u307E\u3057\u305F\u3002\u30DE\u30AF\u30ED\u3092\u518D\u5E30\u547C\u3073\u51FA\u3057\u3057\u3066\u3057\u307E\u3063\u3066\u3044\u307E\u305B\u3093\u304B?",MaxMacroSub2:"MathJax \u306E\u5C55\u958B\u56DE\u6570\u306E\u4E0A\u9650\u306B\u9054\u3057\u307E\u3057\u305F\u3002LaTeX \u74B0\u5883\u3092\u518D\u5E30\u547C\u3073\u51FA\u3057\u3057\u3066\u3057\u307E\u3063\u3066\u3044\u307E\u305B\u3093\u304B?",MissingArgFor:"%1 \u306E\u5F15\u6570\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",ExtraAlignTab:"\\case \u306E\u30C6\u30AD\u30B9\u30C8\u5185\u3067\u3001\u914D\u7F6E\u7528\u30BF\u30D6\u304C\u4F59\u5206\u3067\u3059",BracketMustBeDimension:"%1 \u306E\u4E2D\u62EC\u5F27\u5F15\u6570\u306F\u5BF8\u6CD5\u306B\u3057\u3066\u304F\u3060\u3055\u3044",InvalidEnv:"\u74B0\u5883\u540D\u300C%1\u300D\u306F\u7121\u52B9\u3067\u3059",UnknownEnv:"\u74B0\u5883\u300C%1\u300D\u306F\u4E0D\u660E\u3067\u3059",ExtraCloseLooking:"%1 \u3092\u63A2\u7D22\u3059\u308B\u969B\u306B\u4F59\u5206\u306A\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u898B\u3064\u304B\u308A\u307E\u3057\u305F",MissingCloseBracket:"%1 \u306E\u5F15\u6570\u306E\u9589\u3058\u62EC\u5F27\u300C]\u300D\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093\u3067\u3057\u305F",MissingOrUnrecognizedDelim:"%1 \u306E\u533A\u5207\u308A\u304C\u4E0D\u8DB3\u307E\u305F\u306F\u672A\u5206\u985E\u3067\u3059",MissingDimOrUnits:"%1 \u3067\u3001\u5BF8\u6CD5\u307E\u305F\u306F\u305D\u306E\u5358\u4F4D\u304C\u3042\u308A\u307E\u305B\u3093",TokenNotFoundForCommand:"%2 \u306B\u5BFE\u5FDC\u3059\u308B %1 \u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093\u3067\u3057\u305F",MathNotTerminated:"\u6570\u5F0F\u304C\u30C6\u30AD\u30B9\u30C8 \u30DC\u30C3\u30AF\u30B9\u5185\u3067\u7D42\u4E86\u3057\u3066\u3044\u307E\u305B\u3093",IllegalMacroParam:"\u30DE\u30AF\u30ED \u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u53C2\u7167\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",MaxBufferSize:"MathJax \u306E\u5185\u90E8\u30D0\u30C3\u30D5\u30A1\u30FC \u30B5\u30A4\u30BA\u306E\u4E0A\u9650\u306B\u9054\u3057\u307E\u3057\u305F\u3002\u30DE\u30AF\u30ED\u3092\u518D\u5E30\u547C\u3073\u51FA\u3057\u3057\u3066\u3057\u307E\u3063\u3066\u3044\u307E\u305B\u3093\u304B?",CommandNotAllowedInEnv:"%1 \u306F %2 \u74B0\u5883\u3067\u306F\u4F7F\u7528\u3067\u304D\u307E\u305B\u3093",MultipleLabel:"\u30E9\u30D9\u30EB\u300C%1\u300D\u304C\u8907\u6570\u56DE\u5B9A\u7FA9\u3055\u308C\u3066\u3044\u307E\u3059",CommandAtTheBeginingOfLine:"%1 \u306F\u884C\u982D\u306B\u914D\u7F6E\u3057\u3066\u304F\u3060\u3055\u3044",IllegalAlign:"%1 \u306B\u6307\u5B9A\u3057\u305F\u5F15\u6570\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",BadMathStyleFor:"%1 \u306E\u6570\u5F0F\u306E\u30B9\u30BF\u30A4\u30EB\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",PositiveIntegerArg:"%1 \u306E\u5F15\u6570\u306F\u6B63\u306E\u6574\u6570\u306B\u3057\u3066\u304F\u3060\u3055\u3044",ErroneousNestingEq:"\u6570\u5F0F\u306E\u5165\u308C\u5B50\u69CB\u9020\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",MultlineRowsOneCol:"%1 \u74B0\u5883\u5185\u306E\u5404\u884C\u306F 1 \u5217\u306B\u3057\u3066\u304F\u3060\u3055\u3044",MultipleBBoxProperty:"%1 \u304C %2 \u5185\u3067 2 \u56DE\u6307\u5B9A\u3055\u308C\u3066\u3044\u307E\u3059",InvalidBBoxProperty:"\u300C%1\u300D\u306F\u3001\u8272\u3001\u30D1\u30C7\u30A3\u30F3\u30B0\u3001\u30B9\u30BF\u30A4\u30EB\u306E\u3044\u305A\u308C\u3067\u3082\u306A\u3044\u3088\u3046\u3067\u3059",ExtraEndMissingBegin:"%1 \u304C\u4F59\u5206\u3001\u307E\u305F\u306F \\begingroup \u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",GlobalNotFollowedBy:"%1 \u306E\u5F8C\u306B \\let\u3001\\def\u3001\\newcommand \u306E\u3044\u305A\u308C\u3082\u3042\u308A\u307E\u305B\u3093",UndefinedColorModel:"\u8272\u30E2\u30C7\u30EB\u300C%1\u300D\u306F\u672A\u5B9A\u7FA9\u3067\u3059",ModelArg1:"\u8272\u30E2\u30C7\u30EB %1 \u306B\u306F\u5024\u304C 3 \u3064\u5FC5\u8981\u3067\u3059",InvalidDecimalNumber:"\u7121\u52B9\u306A 10 \u9032\u6570\u3067\u3059",ModelArg2:"\u8272\u30E2\u30C7\u30EB %1 \u306E\u5024\u306F %2 \u3068 %3 \u306E\u9593\u306B\u3057\u3066\u304F\u3060\u3055\u3044",InvalidNumber:"\u7121\u52B9\u306A\u6570\u5024\u3067\u3059",NewextarrowArg1:"%1 \u306E\u7B2C 1 \u5F15\u6570\u306F\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9\u540D\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NewextarrowArg2:"%1 \u306E\u7B2C 2 \u5F15\u6570\u306F\u3001\u30AB\u30F3\u30DE\u3067\u533A\u5207\u3063\u305F 2 \u3064\u306E\u6574\u6570\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NewextarrowArg3:"%1 \u306E\u7B2C 3 \u5F15\u6570\u306F Unicode \u306E\u6587\u5B57\u756A\u53F7\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NoClosingChar:"\u9589\u3058\u62EC\u5F27 %1 \u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093",IllegalControlSequenceName:"%1 \u306B\u6307\u5B9A\u3067\u304D\u306A\u3044\u8AA4\u3063\u305F\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9\u540D\u3067\u3059",IllegalParamNumber:"%1 \u306B\u6307\u5B9A\u3057\u305F\u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u306E\u500B\u6570\u304C\u8AA4\u3063\u3066\u3044\u307E\u3059",MissingCS:"%1 \u306E\u5F8C\u306F\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9\u306B\u3057\u3066\u304F\u3060\u3055\u3044",CantUseHash2:"%1 \u306E\u30C6\u30F3\u30D7\u30EC\u30FC\u30C8\u5185\u3067 # \u306E\u4F7F\u7528\u6CD5\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",SequentialParam:"%1 \u306E\u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u306F\u9023\u756A\u306B\u3057\u3066\u304F\u3060\u3055\u3044",MissingReplacementString:"%1 \u306E\u5B9A\u7FA9\u3067\u7F6E\u63DB\u6587\u5B57\u5217\u304C\u3042\u308A\u307E\u305B\u3093",MismatchUseDef:"%1 \u306E\u5B9A\u7FA9\u3068\u4E00\u81F4\u3057\u3066\u3044\u306A\u3044\u4F7F\u7528\u6CD5\u3067\u3059",RunawayArgument:"%1 \u306E\u5F15\u6570\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u308B\u3088\u3046\u3067\u3059",NoClosingDelim:"%1 \u306E\u7D42\u4E86\u533A\u5207\u308A\u6587\u5B57\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/TeX.js");
+MathJax.Localization.addTranslation("ja","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u4F59\u5206\u3001\u307E\u305F\u306F\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",ExtraCloseMissingOpen:"\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4F59\u5206\u3001\u307E\u305F\u306F\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",MissingLeftExtraRight:"\\left \u304C\u4E0D\u8DB3\u3001\u307E\u305F\u306F \\right \u304C\u4F59\u5206\u3067\u3059",MissingScript:"\u4E0A\u4ED8\u304D\u307E\u305F\u306F\u4E0B\u4ED8\u304D\u306E\u5F15\u6570\u304C\u3042\u308A\u307E\u305B\u3093",ExtraLeftMissingRight:"\\left \u304C\u4F59\u5206\u3001\u307E\u305F\u306F \\right \u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",Misplaced:"%1 \u306E\u4F4D\u7F6E\u304C\u6B63\u3057\u304F\u3042\u308A\u307E\u305B\u3093",MissingOpenForSub:"\u4E0B\u4ED8\u304D\u306E\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u3042\u308A\u307E\u305B\u3093",MissingOpenForSup:"\u4E0A\u4ED8\u304D\u306E\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u3042\u308A\u307E\u305B\u3093",AmbiguousUseOf:"%1 \u306E\u8A18\u8FF0\u304C\u66D6\u6627\u3067\u3059",EnvBadEnd:"\\begin{%1} \u304C \\end{%2} \u3067\u7D42\u4E86\u3057\u3066\u3044\u307E\u3059",EnvMissingEnd:"\\end{%1} \u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",MissingBoxFor:"%1 \u306E\u30DC\u30C3\u30AF\u30B9\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",MissingCloseBrace:"\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",UndefinedControlSequence:"\u672A\u5B9A\u7FA9\u306E\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9 %1",DoubleExponent:"\u4E8C\u91CD\u306E\u4E0A\u4ED8\u304D: \u4E2D\u62EC\u5F27\u3092\u4F7F\u7528\u3057\u3066\u660E\u78BA\u306B\u3057\u3066\u304F\u3060\u3055\u3044",DoubleSubscripts:"\u4E8C\u91CD\u306E\u4E0B\u4ED8\u304D: \u4E2D\u62EC\u5F27\u3092\u4F7F\u7528\u3057\u3066\u660E\u78BA\u306B\u3057\u3066\u304F\u3060\u3055\u3044",DoubleExponentPrime:"\u30D7\u30E9\u30A4\u30E0\u8A18\u53F7\u306B\u3088\u308B\u4E8C\u91CD\u306E\u4E0A\u4ED8\u304D: \u4E2D\u62EC\u5F27\u3092\u4F7F\u7528\u3057\u3066\u660E\u78BA\u306B\u3057\u3066\u304F\u3060\u3055\u3044",CantUseHash1:"\u6570\u5F0F\u30E2\u30FC\u30C9\u3067\u306F\u300C\u30DE\u30AF\u30ED \u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u6587\u5B57 #\u300D\u306F\u4F7F\u7528\u3067\u304D\u307E\u305B\u3093",MisplacedMiddle:"%1 \u306F \\left \u3068 \\right \u306E\u9593\u306B\u914D\u7F6E\u3057\u3066\u304F\u3060\u3055\u3044",MisplacedLimits:"%1 \u306F\u6F14\u7B97\u5B50\u306E\u307F\u306B\u4F7F\u7528\u3067\u304D\u307E\u3059",MisplacedMoveRoot:"%1 \u306F\u30EB\u30FC\u30C8\u5185\u3067\u306E\u307F\u4F7F\u7528\u3067\u304D\u307E\u3059",MultipleCommand:"%1 \u304C\u8907\u6570\u3042\u308A\u307E\u3059",IntegerArg:"%1 \u306E\u5F15\u6570\u306F\u6574\u6570\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NotMathMLToken:"%1 \u306F\u30C8\u30FC\u30AF\u30F3\u8981\u7D20\u3067\u306F\u3042\u308A\u307E\u305B\u3093",InvalidMathMLAttr:"\u7121\u52B9\u306A MathML \u5C5E\u6027: %1",UnknownAttrForElement:"%1 \u3092 %2 \u306E\u5C5E\u6027\u3068\u3057\u3066\u8A8D\u8B58\u3067\u304D\u307E\u305B\u3093",MaxMacroSub1:"MathJax \u306E\u30DE\u30AF\u30ED\u5C55\u958B\u56DE\u6570\u306E\u4E0A\u9650\u306B\u9054\u3057\u307E\u3057\u305F\u3002\u30DE\u30AF\u30ED\u3092\u518D\u5E30\u547C\u3073\u51FA\u3057\u3057\u3066\u3057\u307E\u3063\u3066\u3044\u307E\u305B\u3093\u304B?",MaxMacroSub2:"MathJax \u306E\u5C55\u958B\u56DE\u6570\u306E\u4E0A\u9650\u306B\u9054\u3057\u307E\u3057\u305F\u3002LaTeX \u74B0\u5883\u3092\u518D\u5E30\u547C\u3073\u51FA\u3057\u3057\u3066\u3057\u307E\u3063\u3066\u3044\u307E\u305B\u3093\u304B?",MissingArgFor:"%1 \u306E\u5F15\u6570\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",ExtraAlignTab:"\\case \u306E\u30C6\u30AD\u30B9\u30C8\u5185\u3067\u3001\u914D\u7F6E\u7528\u30BF\u30D6\u304C\u4F59\u5206\u3067\u3059",BracketMustBeDimension:"%1 \u306E\u4E2D\u62EC\u5F27\u5F15\u6570\u306F\u5BF8\u6CD5\u306B\u3057\u3066\u304F\u3060\u3055\u3044",InvalidEnv:"\u74B0\u5883\u540D\u300C%1\u300D\u306F\u7121\u52B9\u3067\u3059",UnknownEnv:"\u74B0\u5883\u300C%1\u300D\u306F\u4E0D\u660E\u3067\u3059",ExtraCloseLooking:"%1 \u3092\u63A2\u7D22\u3059\u308B\u969B\u306B\u4F59\u5206\u306A\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u898B\u3064\u304B\u308A\u307E\u3057\u305F",MissingCloseBracket:"%1 \u306E\u5F15\u6570\u306E\u9589\u3058\u62EC\u5F27\u300C]\u300D\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093\u3067\u3057\u305F",MissingOrUnrecognizedDelim:"%1 \u306E\u533A\u5207\u308A\u304C\u4E0D\u8DB3\u307E\u305F\u306F\u672A\u5206\u985E\u3067\u3059",MissingDimOrUnits:"%1 \u3067\u3001\u5BF8\u6CD5\u307E\u305F\u306F\u305D\u306E\u5358\u4F4D\u304C\u3042\u308A\u307E\u305B\u3093",TokenNotFoundForCommand:"%2 \u306B\u5BFE\u5FDC\u3059\u308B %1 \u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093\u3067\u3057\u305F",MathNotTerminated:"\u6570\u5F0F\u304C\u30C6\u30AD\u30B9\u30C8 \u30DC\u30C3\u30AF\u30B9\u5185\u3067\u7D42\u4E86\u3057\u3066\u3044\u307E\u305B\u3093",IllegalMacroParam:"\u30DE\u30AF\u30ED \u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u53C2\u7167\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",MaxBufferSize:"MathJax \u306E\u5185\u90E8\u30D0\u30C3\u30D5\u30A1\u30FC \u30B5\u30A4\u30BA\u306E\u4E0A\u9650\u306B\u9054\u3057\u307E\u3057\u305F\u3002\u30DE\u30AF\u30ED\u3092\u518D\u5E30\u547C\u3073\u51FA\u3057\u3057\u3066\u3057\u307E\u3063\u3066\u3044\u307E\u305B\u3093\u304B?",CommandNotAllowedInEnv:"%1 \u306F %2 \u74B0\u5883\u3067\u306F\u4F7F\u7528\u3067\u304D\u307E\u305B\u3093",MultipleLabel:"\u30E9\u30D9\u30EB\u300C%1\u300D\u304C\u8907\u6570\u56DE\u5B9A\u7FA9\u3055\u308C\u3066\u3044\u307E\u3059",CommandAtTheBeginingOfLine:"%1 \u306F\u884C\u982D\u306B\u914D\u7F6E\u3057\u3066\u304F\u3060\u3055\u3044",IllegalAlign:"%1 \u306B\u6307\u5B9A\u3057\u305F\u5F15\u6570\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",BadMathStyleFor:"%1 \u306E\u6570\u5F0F\u306E\u30B9\u30BF\u30A4\u30EB\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",PositiveIntegerArg:"%1 \u306E\u5F15\u6570\u306F\u6B63\u306E\u6574\u6570\u306B\u3057\u3066\u304F\u3060\u3055\u3044",ErroneousNestingEq:"\u6570\u5F0F\u306E\u5165\u308C\u5B50\u69CB\u9020\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",MultlineRowsOneCol:"%1 \u74B0\u5883\u5185\u306E\u5404\u884C\u306F 1 \u5217\u306B\u3057\u3066\u304F\u3060\u3055\u3044",MultipleBBoxProperty:"%1 \u304C %2 \u5185\u3067 2 \u56DE\u6307\u5B9A\u3055\u308C\u3066\u3044\u307E\u3059",InvalidBBoxProperty:"\u300C%1\u300D\u306F\u3001\u8272\u3001\u30D1\u30C7\u30A3\u30F3\u30B0\u3001\u30B9\u30BF\u30A4\u30EB\u306E\u3044\u305A\u308C\u3067\u3082\u306A\u3044\u3088\u3046\u3067\u3059",ExtraEndMissingBegin:"%1 \u304C\u4F59\u5206\u3001\u307E\u305F\u306F \\begingroup \u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",GlobalNotFollowedBy:"%1 \u306E\u5F8C\u306B \\let\u3001\\def\u3001\\newcommand \u306E\u3044\u305A\u308C\u3082\u3042\u308A\u307E\u305B\u3093",UndefinedColorModel:"\u8272\u30E2\u30C7\u30EB\u300C%1\u300D\u306F\u672A\u5B9A\u7FA9\u3067\u3059",ModelArg1:"\u8272\u30E2\u30C7\u30EB %1 \u306B\u306F\u5024\u304C 3 \u3064\u5FC5\u8981\u3067\u3059",InvalidDecimalNumber:"\u7121\u52B9\u306A 10 \u9032\u6570\u3067\u3059",ModelArg2:"\u8272\u30E2\u30C7\u30EB %1 \u306E\u5024\u306F %2 \u3068 %3 \u306E\u9593\u306B\u3057\u3066\u304F\u3060\u3055\u3044",InvalidNumber:"\u7121\u52B9\u306A\u6570\u5024\u3067\u3059",NewextarrowArg1:"%1 \u306E\u7B2C 1 \u5F15\u6570\u306F\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9\u540D\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NewextarrowArg2:"%1 \u306E\u7B2C 2 \u5F15\u6570\u306F\u3001\u30AB\u30F3\u30DE\u3067\u533A\u5207\u3063\u305F 2 \u3064\u306E\u6574\u6570\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NewextarrowArg3:"%1 \u306E\u7B2C 3 \u5F15\u6570\u306F Unicode \u306E\u6587\u5B57\u756A\u53F7\u306B\u3057\u3066\u304F\u3060\u3055\u3044",NoClosingChar:"\u9589\u3058\u62EC\u5F27 %1 \u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093",IllegalControlSequenceName:"%1 \u306B\u6307\u5B9A\u3067\u304D\u306A\u3044\u8AA4\u3063\u305F\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9\u540D\u3067\u3059",IllegalParamNumber:"%1 \u306B\u6307\u5B9A\u3057\u305F\u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u306E\u500B\u6570\u304C\u8AA4\u3063\u3066\u3044\u307E\u3059",MissingCS:"%1 \u306E\u5F8C\u306F\u30B3\u30F3\u30C8\u30ED\u30FC\u30EB \u30B7\u30FC\u30B1\u30F3\u30B9\u306B\u3057\u3066\u304F\u3060\u3055\u3044",CantUseHash2:"%1 \u306E\u30C6\u30F3\u30D7\u30EC\u30FC\u30C8\u5185\u3067 # \u306E\u4F7F\u7528\u6CD5\u306B\u8AA4\u308A\u304C\u3042\u308A\u307E\u3059",SequentialParam:"%1 \u306E\u30D1\u30E9\u30E1\u30FC\u30BF\u30FC\u306F\u9023\u756A\u306B\u3057\u3066\u304F\u3060\u3055\u3044",MissingReplacementString:"%1 \u306E\u5B9A\u7FA9\u3067\u7F6E\u63DB\u6587\u5B57\u5217\u304C\u3042\u308A\u307E\u305B\u3093",MismatchUseDef:"%1 \u306E\u5B9A\u7FA9\u3068\u4E00\u81F4\u3057\u3066\u3044\u306A\u3044\u4F7F\u7528\u6CD5\u3067\u3059",RunawayArgument:"%1 \u306E\u5F15\u6570\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u308B\u3088\u3046\u3067\u3059",NoClosingDelim:"%1 \u306E\u7D42\u4E86\u533A\u5207\u308A\u6587\u5B57\u304C\u898B\u3064\u304B\u308A\u307E\u305B\u3093"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/TeX.js");
diff --git a/localization/ja/ja.js b/localization/ja/ja.js
index 793abc8539..350c18eee8 100644
--- a/localization/ja/ja.js
+++ b/localization/ja/ja.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ja/ja.js
+ *  /MathJax-v2/localization/ja/ja.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ja",null,{menuTitle:"\u65E5\u672C\u8A9E",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax \u306F\u3001\u30E6\u30FC\u30B6\u30FC\u8A2D\u5B9A\u306E Cookie \u3067\u5B9F\u884C\u3059\u3079\u304D\u30B3\u30FC\u30C9\u3092\u691C\u51FA\u3057\u307E\u3057\u305F\u3002\u5B9F\u884C\u3057\u307E\u3059\u304B?\n\n(Cookie \u3092\u81EA\u5206\u3067\u8A2D\u5B9A\u3057\u3066\u3044\u306A\u3044\u5834\u5408\u306F\u30AD\u30E3\u30F3\u30BB\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002)",MathProcessingError:"\u6570\u5F0F\u51E6\u7406\u30A8\u30E9\u30FC",MathError:"\u6570\u5F0F\u30A8\u30E9\u30FC",LoadFile:"%1 \u3092\u8AAD\u307F\u8FBC\u307F\u4E2D",Loading:"\u8AAD\u307F\u8FBC\u307F\u4E2D",LoadFailed:"\u30D5\u30A1\u30A4\u30EB\u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093\u3067\u3057\u305F: %1",ProcessMath:"\u6570\u5F0F\u3092\u51E6\u7406\u4E2D: %1%%",Processing:"\u51E6\u7406\u4E2D",TypesetMath:"\u6570\u5F0F\u3092\u7D44\u7248\u4E2D: %1%%",Typesetting:"\u7D44\u7248\u4E2D",MathJaxNotSupported:"\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306F MathJax \u306B\u5BFE\u5FDC\u3057\u3066\u3044\u307E\u305B\u3093"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/ja.js");
+MathJax.Localization.addTranslation("ja",null,{menuTitle:"\u65E5\u672C\u8A9E",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax \u306F\u3001\u30E6\u30FC\u30B6\u30FC\u8A2D\u5B9A\u306E Cookie \u3067\u5B9F\u884C\u3059\u3079\u304D\u30B3\u30FC\u30C9\u3092\u691C\u51FA\u3057\u307E\u3057\u305F\u3002\u5B9F\u884C\u3057\u307E\u3059\u304B?\n\n(Cookie \u3092\u81EA\u5206\u3067\u8A2D\u5B9A\u3057\u3066\u3044\u306A\u3044\u5834\u5408\u306F\u30AD\u30E3\u30F3\u30BB\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002)",MathProcessingError:"\u6570\u5F0F\u51E6\u7406\u30A8\u30E9\u30FC",MathError:"\u6570\u5F0F\u30A8\u30E9\u30FC",LoadFile:"%1 \u3092\u8AAD\u307F\u8FBC\u307F\u4E2D",Loading:"\u8AAD\u307F\u8FBC\u307F\u4E2D",LoadFailed:"\u30D5\u30A1\u30A4\u30EB\u3092\u8AAD\u307F\u8FBC\u3081\u307E\u305B\u3093\u3067\u3057\u305F: %1",ProcessMath:"\u6570\u5F0F\u3092\u51E6\u7406\u4E2D: %1%%",Processing:"\u51E6\u7406\u4E2D",TypesetMath:"\u6570\u5F0F\u3092\u7D44\u7248\u4E2D: %1%%",Typesetting:"\u7D44\u7248\u4E2D",MathJaxNotSupported:"\u3054\u4F7F\u7528\u4E2D\u306E\u30D6\u30E9\u30A6\u30B6\u30FC\u306F MathJax \u306B\u5BFE\u5FDC\u3057\u3066\u3044\u307E\u305B\u3093"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ja/ja.js");
diff --git a/localization/kn/FontWarnings.js b/localization/kn/FontWarnings.js
index d6ca145dc9..d07313a244 100644
--- a/localization/kn/FontWarnings.js
+++ b/localization/kn/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/kn/FontWarnings.js
+ *  /MathJax-v2/localization/kn/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("kn","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9D\u0C95\u0CCD\u0CB7\u0CCD \u0C88 \u0CAA\u0CC1\u0C9F\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CB8\u0CB2\u0CC1 \u0CB5\u0CC6\u0CAC\u0CCD \u0C86\u0CA7\u0CBE\u0CB0\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAC\u0CB3\u0CB8\u0CBF \u0C87\u0CA6\u0CC6. \u0C88 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CB8\u0CAE\u0CAF \u0CA4\u0CC6\u0C97\u0CC6\u0CA6\u0CC1\u0C95\u0CCA\u0CB3\u0CCD\u0CB3\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1, \u0C86\u0CA6\u0CCD\u0CA6\u0CB0\u0CBF\u0C82\u0CA6 \u0CA8\u0CC0\u0CB5\u0CC1 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0C97\u0CA3\u0C95\u0CA6 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAB\u0CCB\u0CB2\u0CCD\u0CA1\u0CB0\u0CCD\u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0CA8\u0CC7\u0CB0\u0CB5\u0CBE\u0C97\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CB5\u0CC7\u0CB3\u0CC6 \u0CAA\u0CC1\u0C9F \u0CB5\u0CC7\u0C97\u0CB5\u0CBE\u0C97\u0CBF \u0CA8\u0CBF\u0CB0\u0CC2\u0CAA\u0CBF\u0CB8\u0CB2\u0CC1 \u0C8E\u0C82\u0CA6\u0CC1.",noFonts:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD       \u0C85\u0CA6\u0CB0 \u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CB8\u0CB2\u0CC1 \u0CAC\u0CB3\u0CB8\u0CB2\u0CC1 \u0C92\u0C82\u0CA6\u0CC1 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAA\u0CA4\u0CCD\u0CA4\u0CC6 \u0CAE\u0CBE\u0CA1\u0CB2\u0CC1 \u0CB8\u0CBE\u0CA7\u0CCD\u0CAF\u0CB5\u0CBE\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2, \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \u0C9A\u0CBF\u0CA4\u0CCD\u0CB0 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0CB2\u0CAD\u0CCD\u0CAF\u0CB5\u0CBF\u0CB2\u0CCD\u0CB2, \u0C86\u0CA6\u0CCD\u0CA6\u0CB0\u0CBF\u0C82\u0CA6 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0C85\u0CB5\u0CC1\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CB8\u0CB2\u0CC1 \u0CB8\u0CBE\u0CA7\u0CCD\u0CAF\u0CB5\u0CBE\u0C97\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6 \u0C8E\u0C82\u0CA6\u0CC1 \u0CAD\u0CB0\u0CB5\u0CB8\u0CC6\u0CAF\u0CB2\u0CCD\u0CB2\u0CBF \u0CB8\u0CBE\u0CB0\u0CCD\u0CB5\u0CA4\u0CCD\u0CB0\u0CBF\u0C95 \u0CAF\u0CC1\u0CA8\u0CBF\u0C95\u0CCB\u0CA1\u0CCD \u0CAA\u0CBE\u0CA4\u0CCD\u0CB0\u0C97\u0CB3\u0CC1 \u0CB9\u0CBF\u0C82\u0CA6\u0CC6 \u0CAC\u0CC0\u0CB3\u0CC1\u0CB5 \u0C87\u0CA6\u0CC6. \u0C95\u0CC6\u0CB2\u0CB5\u0CC1 \u0CAA\u0CBE\u0CA4\u0CCD\u0CB0\u0C97\u0CB3\u0CC1 \u0CB8\u0CB0\u0CBF\u0CAF\u0CBE\u0C97\u0CBF, \u0C85\u0CA5\u0CB5\u0CBE \u0CAC\u0CB9\u0CC1\u0CB6\u0C83 \u0C8E\u0CB2\u0CCD\u0CB2\u0CBE \u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0CA4\u0CCB\u0CB0\u0CBF\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CB5\u0CC6 \u0C87\u0CB0\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",webFonts:"\u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0CB5\u0CC6\u0CAC\u0CCD \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CB2\u0CC1 \u0C85\u0CA4\u0CCD\u0CAF\u0C82\u0CA4 \u0C86\u0CA7\u0CC1\u0CA8\u0CBF\u0C95 \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD\u0C97\u0CB3\u0CC1 \u0C85\u0CB5\u0C95\u0CBE\u0CB6. \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD (\u0C85\u0CA5\u0CB5\u0CBE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0CAC\u0CA6\u0CB2\u0CBE\u0CB5\u0CA3\u0CC6) \u0C87\u0CA4\u0CCD\u0CA4\u0CC0\u0C9A\u0CBF\u0CA8 \u0C86\u0CB5\u0CC3\u0CA4\u0CCD\u0CA4\u0CBF\u0C97\u0CC6 \u0C85\u0CAA\u0CCD\u0CA1\u0CC7\u0C9F\u0CCD \u0C88 \u0CAA\u0CC1\u0C9F\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0C97\u0CC1\u0CA3\u0CAE\u0C9F\u0CCD\u0C9F\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB8\u0CC1\u0CA7\u0CBE\u0CB0\u0CBF\u0CB8\u0CB2\u0CC1 \u0CB8\u0CBE\u0CA7\u0CCD\u0CAF\u0CB5\u0CBF\u0CB2\u0CCD\u0CB2.",fonts:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C92\u0C82\u0CA6\u0CCB [\u0CB7\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1](%1) \u0C85\u0CA5\u0CB5 [\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1](%2) \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1. \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAE\u0CBE\u0CA4 \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA8\u0CC1\u0CAD\u0CB5 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB5\u0CB3\u0CCD\u0CB2\u0CA6\u0CC1 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C87\u0CA6\u0CB0\u0CB2\u0CCD\u0CB2\u0CBF \u0CAF\u0CBE\u0CB5\u0CA6\u0CBE\u0CA6\u0CB0\u0CC1 \u0C92\u0C82\u0CA6\u0CA8\u0CCD\u0CA8 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAE\u0CBE\u0CA6\u0CBF\u0C95\u0CCA\u0CB2\u0CCD\u0CB2\u0CBF.",STIXPage:"\u0C88 \u0CAA\u0CC1\u0C9F  [\u0CB8\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CCD\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 ](%1) \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CB5\u0CBF\u0CA8\u0CCD\u0CAF\u0CBE\u0CB8 \u0C86\u0C97\u0CBF\u0CA6\u0CC6. \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA8\u0CC1\u0CAD\u0CB5 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB8\u0CC1\u0CA7\u0CBE\u0CB0\u0CBF\u0CB8\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C88 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF.",TeXPage:"\u0C88 \u0CAA\u0CC1\u0C9F  [\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD   \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CCD\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 ](%1) \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CB5\u0CBF\u0CA8\u0CCD\u0CAF\u0CBE\u0CB8 \u0C86\u0C97\u0CBF\u0CA6\u0CC6. \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA8\u0CC1\u0CAD\u0CB5 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB8\u0CC1\u0CA7\u0CBE\u0CB0\u0CBF\u0CB8\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C88 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF.",imageFonts:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9D\u0C95\u0CCD\u0CB7\u0CCD \u0CA4\u0CA8\u0CCD\u0CA8 \u0C9A\u0CBF\u0CA4\u0CCD\u0CB0 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u200C\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB8\u0CCD\u0CA5\u0CB3\u0CC0\u0CAF \u0C85\u0CA5\u0CB5\u0CBE \u0CB5\u0CC6\u0CAC\u0CCD-\u0C86\u0CA7\u0CBE\u0CB0\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u200C\u0C9F\u0CCD\u200C\u0C97\u0CB3 \u0CAC\u0CA6\u0CB2\u0CBF\u0C97\u0CC6 \u0CAC\u0CB3\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6. \u0C88 \u0CB8\u0CBE\u0CAE\u0CBE\u0CA8\u0CCD\u0CAF\u0C95\u0CCD\u0C95\u0CBF\u0C82\u0CA4 \u0CA8\u0CBF\u0CA7\u0CBE\u0CA8\u0CB5\u0CBE\u0C97\u0CBF \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CA4\u0CB5\u0CBE\u0C97\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1, \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CC2\u0CB0\u0CCD\u0CA3 \u0CB0\u0CC6\u0CB8\u0CB2\u0CCD\u0CAF\u0CC2\u0CB7\u0CA8\u0CCD\u200C\u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAA\u0CCD\u0CB0\u0CBF\u0C82\u0C9F\u0CB0\u0CCD \u0CAE\u0CC2\u0CB2\u0C95 \u0CAE\u0CC1\u0CA6\u0CCD\u0CB0\u0CBF\u0CA4\u0CB5\u0CBE\u0C97\u0CA6\u0CBF\u0CB0\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1."}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/FontWarnings.js");
+MathJax.Localization.addTranslation("kn","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9D\u0C95\u0CCD\u0CB7\u0CCD \u0C88 \u0CAA\u0CC1\u0C9F\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CB8\u0CB2\u0CC1 \u0CB5\u0CC6\u0CAC\u0CCD \u0C86\u0CA7\u0CBE\u0CB0\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAC\u0CB3\u0CB8\u0CBF \u0C87\u0CA6\u0CC6. \u0C88 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CB8\u0CAE\u0CAF \u0CA4\u0CC6\u0C97\u0CC6\u0CA6\u0CC1\u0C95\u0CCA\u0CB3\u0CCD\u0CB3\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1, \u0C86\u0CA6\u0CCD\u0CA6\u0CB0\u0CBF\u0C82\u0CA6 \u0CA8\u0CC0\u0CB5\u0CC1 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0C97\u0CA3\u0C95\u0CA6 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAB\u0CCB\u0CB2\u0CCD\u0CA1\u0CB0\u0CCD\u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0CA8\u0CC7\u0CB0\u0CB5\u0CBE\u0C97\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CB5\u0CC7\u0CB3\u0CC6 \u0CAA\u0CC1\u0C9F \u0CB5\u0CC7\u0C97\u0CB5\u0CBE\u0C97\u0CBF \u0CA8\u0CBF\u0CB0\u0CC2\u0CAA\u0CBF\u0CB8\u0CB2\u0CC1 \u0C8E\u0C82\u0CA6\u0CC1.",noFonts:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD       \u0C85\u0CA6\u0CB0 \u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CB8\u0CB2\u0CC1 \u0CAC\u0CB3\u0CB8\u0CB2\u0CC1 \u0C92\u0C82\u0CA6\u0CC1 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAA\u0CA4\u0CCD\u0CA4\u0CC6 \u0CAE\u0CBE\u0CA1\u0CB2\u0CC1 \u0CB8\u0CBE\u0CA7\u0CCD\u0CAF\u0CB5\u0CBE\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2, \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \u0C9A\u0CBF\u0CA4\u0CCD\u0CB0 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0CB2\u0CAD\u0CCD\u0CAF\u0CB5\u0CBF\u0CB2\u0CCD\u0CB2, \u0C86\u0CA6\u0CCD\u0CA6\u0CB0\u0CBF\u0C82\u0CA6 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0C85\u0CB5\u0CC1\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CB8\u0CB2\u0CC1 \u0CB8\u0CBE\u0CA7\u0CCD\u0CAF\u0CB5\u0CBE\u0C97\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6 \u0C8E\u0C82\u0CA6\u0CC1 \u0CAD\u0CB0\u0CB5\u0CB8\u0CC6\u0CAF\u0CB2\u0CCD\u0CB2\u0CBF \u0CB8\u0CBE\u0CB0\u0CCD\u0CB5\u0CA4\u0CCD\u0CB0\u0CBF\u0C95 \u0CAF\u0CC1\u0CA8\u0CBF\u0C95\u0CCB\u0CA1\u0CCD \u0CAA\u0CBE\u0CA4\u0CCD\u0CB0\u0C97\u0CB3\u0CC1 \u0CB9\u0CBF\u0C82\u0CA6\u0CC6 \u0CAC\u0CC0\u0CB3\u0CC1\u0CB5 \u0C87\u0CA6\u0CC6. \u0C95\u0CC6\u0CB2\u0CB5\u0CC1 \u0CAA\u0CBE\u0CA4\u0CCD\u0CB0\u0C97\u0CB3\u0CC1 \u0CB8\u0CB0\u0CBF\u0CAF\u0CBE\u0C97\u0CBF, \u0C85\u0CA5\u0CB5\u0CBE \u0CAC\u0CB9\u0CC1\u0CB6\u0C83 \u0C8E\u0CB2\u0CCD\u0CB2\u0CBE \u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0CA4\u0CCB\u0CB0\u0CBF\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CB5\u0CC6 \u0C87\u0CB0\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",webFonts:"\u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0CB5\u0CC6\u0CAC\u0CCD \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CB2\u0CC1 \u0C85\u0CA4\u0CCD\u0CAF\u0C82\u0CA4 \u0C86\u0CA7\u0CC1\u0CA8\u0CBF\u0C95 \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD\u0C97\u0CB3\u0CC1 \u0C85\u0CB5\u0C95\u0CBE\u0CB6. \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD (\u0C85\u0CA5\u0CB5\u0CBE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0CAC\u0CA6\u0CB2\u0CBE\u0CB5\u0CA3\u0CC6) \u0C87\u0CA4\u0CCD\u0CA4\u0CC0\u0C9A\u0CBF\u0CA8 \u0C86\u0CB5\u0CC3\u0CA4\u0CCD\u0CA4\u0CBF\u0C97\u0CC6 \u0C85\u0CAA\u0CCD\u0CA1\u0CC7\u0C9F\u0CCD \u0C88 \u0CAA\u0CC1\u0C9F\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0C97\u0CC1\u0CA3\u0CAE\u0C9F\u0CCD\u0C9F\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB8\u0CC1\u0CA7\u0CBE\u0CB0\u0CBF\u0CB8\u0CB2\u0CC1 \u0CB8\u0CBE\u0CA7\u0CCD\u0CAF\u0CB5\u0CBF\u0CB2\u0CCD\u0CB2.",fonts:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C92\u0C82\u0CA6\u0CCB [\u0CB7\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1](%1) \u0C85\u0CA5\u0CB5 [\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1](%2) \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1. \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAE\u0CBE\u0CA4 \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA8\u0CC1\u0CAD\u0CB5 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB5\u0CB3\u0CCD\u0CB2\u0CA6\u0CC1 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C87\u0CA6\u0CB0\u0CB2\u0CCD\u0CB2\u0CBF \u0CAF\u0CBE\u0CB5\u0CA6\u0CBE\u0CA6\u0CB0\u0CC1 \u0C92\u0C82\u0CA6\u0CA8\u0CCD\u0CA8 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAE\u0CBE\u0CA6\u0CBF\u0C95\u0CCA\u0CB2\u0CCD\u0CB2\u0CBF.",STIXPage:"\u0C88 \u0CAA\u0CC1\u0C9F  [\u0CB8\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CCD\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 ](%1) \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CB5\u0CBF\u0CA8\u0CCD\u0CAF\u0CBE\u0CB8 \u0C86\u0C97\u0CBF\u0CA6\u0CC6. \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA8\u0CC1\u0CAD\u0CB5 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB8\u0CC1\u0CA7\u0CBE\u0CB0\u0CBF\u0CB8\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C88 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF.",TeXPage:"\u0C88 \u0CAA\u0CC1\u0C9F  [\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD   \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CCD\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 ](%1) \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CB5\u0CBF\u0CA8\u0CCD\u0CAF\u0CBE\u0CB8 \u0C86\u0C97\u0CBF\u0CA6\u0CC6. \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA8\u0CC1\u0CAD\u0CB5 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB8\u0CC1\u0CA7\u0CBE\u0CB0\u0CBF\u0CB8\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C88 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF.",imageFonts:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9D\u0C95\u0CCD\u0CB7\u0CCD \u0CA4\u0CA8\u0CCD\u0CA8 \u0C9A\u0CBF\u0CA4\u0CCD\u0CB0 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u200C\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB8\u0CCD\u0CA5\u0CB3\u0CC0\u0CAF \u0C85\u0CA5\u0CB5\u0CBE \u0CB5\u0CC6\u0CAC\u0CCD-\u0C86\u0CA7\u0CBE\u0CB0\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u200C\u0C9F\u0CCD\u200C\u0C97\u0CB3 \u0CAC\u0CA6\u0CB2\u0CBF\u0C97\u0CC6 \u0CAC\u0CB3\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6. \u0C88 \u0CB8\u0CBE\u0CAE\u0CBE\u0CA8\u0CCD\u0CAF\u0C95\u0CCD\u0C95\u0CBF\u0C82\u0CA4 \u0CA8\u0CBF\u0CA7\u0CBE\u0CA8\u0CB5\u0CBE\u0C97\u0CBF \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CA4\u0CB5\u0CBE\u0C97\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1, \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CC2\u0CB0\u0CCD\u0CA3 \u0CB0\u0CC6\u0CB8\u0CB2\u0CCD\u0CAF\u0CC2\u0CB7\u0CA8\u0CCD\u200C\u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAA\u0CCD\u0CB0\u0CBF\u0C82\u0C9F\u0CB0\u0CCD \u0CAE\u0CC2\u0CB2\u0C95 \u0CAE\u0CC1\u0CA6\u0CCD\u0CB0\u0CBF\u0CA4\u0CB5\u0CBE\u0C97\u0CA6\u0CBF\u0CB0\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1."}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/FontWarnings.js");
diff --git a/localization/kn/HTML-CSS.js b/localization/kn/HTML-CSS.js
index 755144ef24..b5233defcf 100644
--- a/localization/kn/HTML-CSS.js
+++ b/localization/kn/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/kn/HTML-CSS.js
+ *  /MathJax-v2/localization/kn/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("kn","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD  %1 \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",CantLoadWebFont:" \u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD  %1 \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CC1\u0CA6\u0CC1 \u0C87\u0CB2\u0CCD\u0CB2",FirefoxCantLoadWebFont:"\u0CAB\u0CC8\u0CB0\u0CCD\u0CAB\u0CBE\u0C95\u0CCD\u0CB8\u0CCD \u0C87\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0CA6\u0CC2\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0CB9\u0CCB\u0CB8\u0CCD\u0C9F\u0CCD \u0C87\u0C82\u0CA6 \u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2.",CantFindFontUsing:"%1 \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CC1  \u0CB8\u0CB0\u0CBF\u0CAF\u0CBE\u0CA6 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CB8\u0CBF\u0C97\u0CC1\u0CA4 \u0C87\u0CB2\u0CCD\u0CB2",WebFontsNotAvailable:"\u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CC1 \u0CB8\u0CBF\u0C97\u0CC1\u0CA4 \u0C87\u0CB2\u0CCD\u0CB2, \u0C9A\u0CBF\u0CA4\u0CCD\u0CB0 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CBF."}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/HTML-CSS.js");
+MathJax.Localization.addTranslation("kn","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD  %1 \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",CantLoadWebFont:" \u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD  %1 \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CC1\u0CA6\u0CC1 \u0C87\u0CB2\u0CCD\u0CB2",FirefoxCantLoadWebFont:"\u0CAB\u0CC8\u0CB0\u0CCD\u0CAB\u0CBE\u0C95\u0CCD\u0CB8\u0CCD \u0C87\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0CA6\u0CC2\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0CB9\u0CCB\u0CB8\u0CCD\u0C9F\u0CCD \u0C87\u0C82\u0CA6 \u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2.",CantFindFontUsing:"%1 \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CC1  \u0CB8\u0CB0\u0CBF\u0CAF\u0CBE\u0CA6 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CB8\u0CBF\u0C97\u0CC1\u0CA4 \u0C87\u0CB2\u0CCD\u0CB2",WebFontsNotAvailable:"\u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CC1 \u0CB8\u0CBF\u0C97\u0CC1\u0CA4 \u0C87\u0CB2\u0CCD\u0CB2, \u0C9A\u0CBF\u0CA4\u0CCD\u0CB0 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CBF."}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/HTML-CSS.js");
diff --git a/localization/kn/HelpDialog.js b/localization/kn/HelpDialog.js
index 00e0d98c57..f57949ed91 100644
--- a/localization/kn/HelpDialog.js
+++ b/localization/kn/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/kn/HelpDialog.js
+ *  /MathJax-v2/localization/kn/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("kn","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CB8\u0CB9\u0CAF\u0CA4\u0CC6",MathJax:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD   \u0CAA\u0CC1\u0C9F \u0CB2\u0CC7\u0C96\u0C95\u0CB0\u0CC1 \u0CA4\u0CAE\u0CCD\u0CAE \u0CB5\u0CC6\u0CAC\u0CCD \u0CAA\u0CC1\u0C9F\u0C97\u0CB3 \u0C92\u0CB3\u0C97\u0CC6 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CC7\u0CB0\u0CBF\u0CB8\u0CB2\u0CC1 \u0C85\u0CA8\u0CC1\u0CAE\u0CA4\u0CBF\u0CB8\u0CC1\u0CB5 \u0C92\u0C82\u0CA6\u0CC1 \u0C9C\u0CBE\u0CB5\u0CBE\u0CB8\u0CCD\u0C95\u0CCD\u0CB0\u0CBF\u0CAA\u0CCD\u0C9F\u0CCD \u0C97\u0CCD\u0CB0\u0C82\u0CA5\u0CBE\u0CB2\u0CAF. \u0C92\u0C82\u0CA6\u0CC1 \u0CB0\u0CC0\u0CA1\u0CB0\u0CCD, \u0CA8\u0CC0\u0CB5\u0CC1 \u0C89\u0C82\u0C9F\u0CBE\u0C97\u0CC1\u0CB5 \u0CAE\u0CBE\u0CA1\u0CB2\u0CC1 \u0C8F\u0CA8\u0CC1 \u0C85\u0C97\u0CA4\u0CCD\u0CAF\u0CB5\u0CBF\u0CB2\u0CCD\u0CB2.",Browsers:"*\u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD\u0C97\u0CB3\u0CC1*: \u0CAE\u0CA0 Jax \u0C87\u0C82\u0C9F\u0CB0\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD \u0C8E\u0C95\u0CCD\u0CB8\u0CCD\u0CAA\u0CCD\u0CB2\u0CCB\u0CB0\u0CB0\u0CCD 6 +, \u0CAB\u0CC8\u0CB0\u0CCD\u0CAB\u0CBE\u0C95\u0CCD\u0CB8\u0CCD 3 + \u0C95\u0CCD\u0CB0\u0CCB\u0CAE\u0CCD 0.2 +, \u0CB8\u0CAB\u0CBE\u0CB0\u0CBF 2 + \u0C92\u0CAA\u0CC6\u0CB0\u0CBE 9.6 + \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \u0C85\u0CA4\u0CCD\u0CAF\u0C82\u0CA4 \u0CAE\u0CCA\u0CAC\u0CC8\u0CB2\u0CCD \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0CB8\u0CC7\u0CB0\u0CBF\u0CA6\u0C82\u0CA4\u0CC6 \u0C8E\u0CB2\u0CCD\u0CB2 \u0C86\u0CA7\u0CC1\u0CA8\u0CBF\u0C95 \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD\u0C97\u0CB3\u0CC1 \u0C95\u0CC6\u0CB2\u0CB8 \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6.",Zoom:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0CC2\u0CAE\u0CCD: \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0C95\u0CCD\u0CB7  \u0C92\u0C82\u0CA6\u0CC1 \u0C8E\u0C95\u0CBC\u0CC1\u0C85\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA8\u0CCB\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CA8\u0CBF\u0CAE\u0C97\u0CC6 \u0C89\u0CAA\u0CCD\u0CAA\u0CA6\u0CCD\u0CA6\u0CB0 \u0C86\u0C97\u0CC1\u0CA4 \u0C87\u0CA6\u0CCD\u0CA6\u0CBE\u0CB0\u0CC6, \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA6\u0CCD\u0CA6\u0CA8\u0CC1 \u0CA8\u0CBF\u0CAE\u0C97\u0CC6 \u0CB8\u0CB0\u0CBF \u0CA8\u0CCB\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CB8\u0CB9\u0CAF\u0CA4\u0CC6 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C85\u0CA6\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA6\u0CCA\u0CA1\u0CCD\u0CA1\u0CA6\u0CC1 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CC1\u0CA4\u0CA6\u0CC6.",Fonts:"* \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 *: \u0C85\u0CB5\u0CB0\u0CC1 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0C95\u0C82\u0CAA\u0CCD\u0CAF\u0CC2\u0C9F\u0CB0\u0CCD\u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CB5\u0CC7\u0CB3\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD   \u0C95\u0CC6\u0CB2\u0CB5\u0CC1 \u0C97\u0CA3\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAC\u0CB3\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6; \u0C87\u0CB2\u0CCD\u0CB2\u0CA6\u0CBF\u0CA6\u0CCD\u0CA6\u0CB0\u0CC6, \u0C87\u0CA6\u0CC1 \u0CB5\u0CC6\u0CAC\u0CCD \u0C86\u0CA7\u0CBE\u0CB0\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAC\u0CB3\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6. \u0C85\u0C97\u0CA4\u0CCD\u0CAF\u0CB5\u0CBF\u0CB2\u0CCD\u0CB2 \u0C86\u0CA6\u0CB0\u0CC2, \u0CB8\u0CCD\u0CA5\u0CB3\u0CC0\u0CAF\u0CB5\u0CBE\u0C97\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0C9F\u0CC8\u0CAA\u0CCD\u0CB8\u0CC6\u0C9F\u0CCD\u0C9F\u0CBF\u0C82\u0C97\u0CCD \u0CB5\u0CC7\u0C97\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1. \u0CA8\u0CBE\u0CB5\u0CC1 [\u0CB8\u0CCD\u0C9F\u0CBF\u0C95\u0CCD\u0CB8\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1](%1) \u0C85\u0CA8\u0CC1\u0CB8\u0CCD\u0CA5\u0CBE\u0CAA\u0CBF\u0CB8\u0CC1\u0CB5\u0CBE\u0C97 \u0CB8\u0CC2\u0C9A\u0CBF\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6."}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/HelpDialog.js");
+MathJax.Localization.addTranslation("kn","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CB8\u0CB9\u0CAF\u0CA4\u0CC6",MathJax:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD   \u0CAA\u0CC1\u0C9F \u0CB2\u0CC7\u0C96\u0C95\u0CB0\u0CC1 \u0CA4\u0CAE\u0CCD\u0CAE \u0CB5\u0CC6\u0CAC\u0CCD \u0CAA\u0CC1\u0C9F\u0C97\u0CB3 \u0C92\u0CB3\u0C97\u0CC6 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CC7\u0CB0\u0CBF\u0CB8\u0CB2\u0CC1 \u0C85\u0CA8\u0CC1\u0CAE\u0CA4\u0CBF\u0CB8\u0CC1\u0CB5 \u0C92\u0C82\u0CA6\u0CC1 \u0C9C\u0CBE\u0CB5\u0CBE\u0CB8\u0CCD\u0C95\u0CCD\u0CB0\u0CBF\u0CAA\u0CCD\u0C9F\u0CCD \u0C97\u0CCD\u0CB0\u0C82\u0CA5\u0CBE\u0CB2\u0CAF. \u0C92\u0C82\u0CA6\u0CC1 \u0CB0\u0CC0\u0CA1\u0CB0\u0CCD, \u0CA8\u0CC0\u0CB5\u0CC1 \u0C89\u0C82\u0C9F\u0CBE\u0C97\u0CC1\u0CB5 \u0CAE\u0CBE\u0CA1\u0CB2\u0CC1 \u0C8F\u0CA8\u0CC1 \u0C85\u0C97\u0CA4\u0CCD\u0CAF\u0CB5\u0CBF\u0CB2\u0CCD\u0CB2.",Browsers:"*\u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD\u0C97\u0CB3\u0CC1*: \u0CAE\u0CA0 Jax \u0C87\u0C82\u0C9F\u0CB0\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD \u0C8E\u0C95\u0CCD\u0CB8\u0CCD\u0CAA\u0CCD\u0CB2\u0CCB\u0CB0\u0CB0\u0CCD 6 +, \u0CAB\u0CC8\u0CB0\u0CCD\u0CAB\u0CBE\u0C95\u0CCD\u0CB8\u0CCD 3 + \u0C95\u0CCD\u0CB0\u0CCB\u0CAE\u0CCD 0.2 +, \u0CB8\u0CAB\u0CBE\u0CB0\u0CBF 2 + \u0C92\u0CAA\u0CC6\u0CB0\u0CBE 9.6 + \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \u0C85\u0CA4\u0CCD\u0CAF\u0C82\u0CA4 \u0CAE\u0CCA\u0CAC\u0CC8\u0CB2\u0CCD \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0CB8\u0CC7\u0CB0\u0CBF\u0CA6\u0C82\u0CA4\u0CC6 \u0C8E\u0CB2\u0CCD\u0CB2 \u0C86\u0CA7\u0CC1\u0CA8\u0CBF\u0C95 \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD\u0C97\u0CB3\u0CC1 \u0C95\u0CC6\u0CB2\u0CB8 \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6.",Zoom:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0CC2\u0CAE\u0CCD: \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0C95\u0CCD\u0CB7  \u0C92\u0C82\u0CA6\u0CC1 \u0C8E\u0C95\u0CBC\u0CC1\u0C85\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA8\u0CCB\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CA8\u0CBF\u0CAE\u0C97\u0CC6 \u0C89\u0CAA\u0CCD\u0CAA\u0CA6\u0CCD\u0CA6\u0CB0 \u0C86\u0C97\u0CC1\u0CA4 \u0C87\u0CA6\u0CCD\u0CA6\u0CBE\u0CB0\u0CC6, \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C85\u0CA6\u0CCD\u0CA6\u0CA8\u0CC1 \u0CA8\u0CBF\u0CAE\u0C97\u0CC6 \u0CB8\u0CB0\u0CBF \u0CA8\u0CCB\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CB8\u0CB9\u0CAF\u0CA4\u0CC6 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C85\u0CA6\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA6\u0CCA\u0CA1\u0CCD\u0CA1\u0CA6\u0CC1 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CC1\u0CA4\u0CA6\u0CC6.",Fonts:"* \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 *: \u0C85\u0CB5\u0CB0\u0CC1 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0C95\u0C82\u0CAA\u0CCD\u0CAF\u0CC2\u0C9F\u0CB0\u0CCD\u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CB5\u0CC7\u0CB3\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD   \u0C95\u0CC6\u0CB2\u0CB5\u0CC1 \u0C97\u0CA3\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAC\u0CB3\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6; \u0C87\u0CB2\u0CCD\u0CB2\u0CA6\u0CBF\u0CA6\u0CCD\u0CA6\u0CB0\u0CC6, \u0C87\u0CA6\u0CC1 \u0CB5\u0CC6\u0CAC\u0CCD \u0C86\u0CA7\u0CBE\u0CB0\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAC\u0CB3\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6. \u0C85\u0C97\u0CA4\u0CCD\u0CAF\u0CB5\u0CBF\u0CB2\u0CCD\u0CB2 \u0C86\u0CA6\u0CB0\u0CC2, \u0CB8\u0CCD\u0CA5\u0CB3\u0CC0\u0CAF\u0CB5\u0CBE\u0C97\u0CBF \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0C9F\u0CC8\u0CAA\u0CCD\u0CB8\u0CC6\u0C9F\u0CCD\u0C9F\u0CBF\u0C82\u0C97\u0CCD \u0CB5\u0CC7\u0C97\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1. \u0CA8\u0CBE\u0CB5\u0CC1 [\u0CB8\u0CCD\u0C9F\u0CBF\u0C95\u0CCD\u0CB8\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1](%1) \u0C85\u0CA8\u0CC1\u0CB8\u0CCD\u0CA5\u0CBE\u0CAA\u0CBF\u0CB8\u0CC1\u0CB5\u0CBE\u0C97 \u0CB8\u0CC2\u0C9A\u0CBF\u0CB8\u0CC1\u0CA4\u0CCD\u0CA4\u0CA6\u0CC6."}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/HelpDialog.js");
diff --git a/localization/kn/MathML.js b/localization/kn/MathML.js
index 41e438227a..3ed9b27437 100644
--- a/localization/kn/MathML.js
+++ b/localization/kn/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/kn/MathML.js
+ *  /MathJax-v2/localization/kn/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("kn","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u0C95\u0CC6\u0C9F\u0CCD\u0C9F mglyph:  %1",BadMglyphFont:"\u0C95\u0CC6\u0C9F\u0CCD\u0C9F \u0CA4\u0CC8\u0CB2\u0CA6\u0CBE\u0CA8\u0CBF:         %1",UnknownNodeType:"\u0C97\u0CCA\u0CA4\u0CCD\u0CA4\u0CC1 \u0C87\u0CB0\u0CB2\u0CC7 \u0C87\u0CA6\u0CCD\u0CA6 \u0CA8\u0CCB\u0CA1\u0CCD \u0C9F\u0CC8\u0CAA\u0CCD: %1",UnexpectedTextNode:"\u0C8E\u0CA6\u0CB0\u0CC1 \u0CA8\u0CCB\u0CA6\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2\u0CA6\u0CCD\u0CA6 \u0CA8\u0CCB\u0CA1\u0CCD \u0C9F\u0CC8\u0CAA\u0CCD   :     %1",ErrorParsingMathML:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0CAA\u0CBE\u0CB0\u0CCD\u0CB8\u0CC6 \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0CBE\u0C97 \u0CA4\u0CCD\u0CB0\u0CC1\u0C9F\u0CBF",ParsingError:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0CAA\u0CBE\u0CB0\u0CCD\u0CB8\u0CC6 \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0CBE\u0C97 \u0CA4\u0CCD\u0CB0\u0CC1\u0C9F\u0CBF: %1",MathMLSingleElement:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C92\u0C82\u0CA6\u0CC1 \u0C8E\u0CB2\u0CBF\u0CAE\u0CC6\u0C82\u0C9F\u0CCD \u0C87\u0C82\u0CA6 \u0CAE\u0CBE\u0CA1 \u0CAC\u0CC6\u0C95\u0CC1.",MathMLRootElement:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C92\u0C82\u0CA6\u0CC1  \u003Cmath\u003E \u0C9F\u0CCD\u0CAF\u0CBE\u0C97\u0CCD  \u0C87\u0C82\u0CA6 \u0CB6\u0CC1\u0CB0\u0CC1 \u0C86\u0C97\u0CAC\u0CC7\u0C95\u0CC1, %1    \u0C87\u0C82\u0CA6 \u0C85\u0CB2\u0CCD\u0CB2"}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/MathML.js");
+MathJax.Localization.addTranslation("kn","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"\u0C95\u0CC6\u0C9F\u0CCD\u0C9F mglyph:  %1",BadMglyphFont:"\u0C95\u0CC6\u0C9F\u0CCD\u0C9F \u0CA4\u0CC8\u0CB2\u0CA6\u0CBE\u0CA8\u0CBF:         %1",UnknownNodeType:"\u0C97\u0CCA\u0CA4\u0CCD\u0CA4\u0CC1 \u0C87\u0CB0\u0CB2\u0CC7 \u0C87\u0CA6\u0CCD\u0CA6 \u0CA8\u0CCB\u0CA1\u0CCD \u0C9F\u0CC8\u0CAA\u0CCD: %1",UnexpectedTextNode:"\u0C8E\u0CA6\u0CB0\u0CC1 \u0CA8\u0CCB\u0CA6\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2\u0CA6\u0CCD\u0CA6 \u0CA8\u0CCB\u0CA1\u0CCD \u0C9F\u0CC8\u0CAA\u0CCD   :     %1",ErrorParsingMathML:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0CAA\u0CBE\u0CB0\u0CCD\u0CB8\u0CC6 \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0CBE\u0C97 \u0CA4\u0CCD\u0CB0\u0CC1\u0C9F\u0CBF",ParsingError:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0CAA\u0CBE\u0CB0\u0CCD\u0CB8\u0CC6 \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0CBE\u0C97 \u0CA4\u0CCD\u0CB0\u0CC1\u0C9F\u0CBF: %1",MathMLSingleElement:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C92\u0C82\u0CA6\u0CC1 \u0C8E\u0CB2\u0CBF\u0CAE\u0CC6\u0C82\u0C9F\u0CCD \u0C87\u0C82\u0CA6 \u0CAE\u0CBE\u0CA1 \u0CAC\u0CC6\u0C95\u0CC1.",MathMLRootElement:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C92\u0C82\u0CA6\u0CC1  \u003Cmath\u003E \u0C9F\u0CCD\u0CAF\u0CBE\u0C97\u0CCD  \u0C87\u0C82\u0CA6 \u0CB6\u0CC1\u0CB0\u0CC1 \u0C86\u0C97\u0CAC\u0CC7\u0C95\u0CC1, %1    \u0C87\u0C82\u0CA6 \u0C85\u0CB2\u0CCD\u0CB2"}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/MathML.js");
diff --git a/localization/kn/MathMenu.js b/localization/kn/MathMenu.js
index 6389deacba..18d5958798 100644
--- a/localization/kn/MathMenu.js
+++ b/localization/kn/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/kn/MathMenu.js
+ *  /MathJax-v2/localization/kn/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("kn","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB9\u0CC7\u0C97\u0CC6 \u0CA4\u0CCB\u0CB0\u0CBF\u0CB8\u0CB2\u0CBF?",MathMLcode:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD  \u0CB8\u0CE6\u0C95\u0CC7\u0CA4",OriginalMathML:"\u0CAE\u0CC2\u0CB2 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD",TeXCommands:"\u0C9F\u0CC6\u0C95\u0CCD\u0CB7\u0CCD 	\u0C85\u0CAA\u0CCD\u0CAA\u0CA3\u0CC6\u0C97\u0CB3\u0CC1",AsciiMathInput:"\u0C86\u0CB8\u0CCD\u0C9A\u0CC0 \u0CAE\u0CBE\u0CA4 \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD",Original:"\u0CAE\u0CC2\u0CB2 \u0CB0\u0CC2\u0CAA",ErrorMessage:"\u0CA4\u0CCD\u0CB0\u0CC1\u0C9F\u0CBF \u0CAA\u0CA4\u0CCD\u0CB0",Annotation:"\u0C9F\u0CBF\u0CAA\u0CCD\u0CAA\u0CA3\u0CBF",TeX:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD",StarMath:"\u0CB8\u0CCD\u0C9F\u0CBE\u0CB0\u0CCD \u0CAE\u0CBE\u0CA4\u0CCD",Maple:"\u0CAE\u0CC7\u0CAA\u0CB2\u0CCD",ContentMathML:"\u0CB5\u0CBF\u0CB7\u0CAF \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD",OpenMath:"\u0C93\u0CAA\u0CA8\u0CCD \u0CAE\u0CBE\u0CA4\u0CCD",texHints:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD \u0CB8\u0CC2\u0C9A\u0CCD\u0CAF\u0CB5\u0CBE\u0C97\u0CBF\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC2 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CA4\u0CCB\u0CB0\u0CBF\u0CB8\u0CBF",Settings:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CC6\u0C9F\u0CCD\u0C9F\u0CBF\u0C82\u0C97\u0CCD\u0C97\u0CB3\u0CC1",ZoomTrigger:"\u0C9C\u0CC2\u0CAE\u0CCD \u0C9F\u0CCD\u0CB0\u0CBF\u0C97\u0CB0\u0CCD",Hover:"\u0CB9\u0CCA\u0CB5\u0CC6\u0CB0\u0CCD",Click:"\u0C95\u0CCD\u0CB2\u0CBF\u0C95\u0CCD",DoubleClick:"\u0C8E\u0CB0\u0CA1\u0CC1 \u0C95\u0CCD\u0CB2\u0CBF\u0C95\u0CCD",NoZoom:"\u0C9C\u0CCB\u0CAE \u0C87\u0CB2\u0CCD\u0CB2",TriggerRequires:"\u0C9F\u0CCD\u0CB0\u0CBF\u0C97\u0CB0\u0CCD \u0C87\u0C97\u0CC6 \u0CAC\u0CC6\u0C95\u0C97\u0CC1\u0CA4\u0CA6\u0CC6:",Option:"\u0C86\u0CAF\u0CCD\u0C95\u0CC6",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"\u0C9C\u0CCB\u0CAE \u0C85\u0CAA\u0CB5\u0CB0\u0CCD\u0CA4\u0CA8",Renderer:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA4\u0CBF\u0CAF\u0CBE\u0C97\u0CBF \u0C95\u0CCA\u0CA1\u0CC1\u0CB5\u0CB5",MPHandles:"\u0CAE\u0CA4\u0CCD \u0CAA\u0CCD\u0CB2\u0CC7\u0CAF\u0CB0\u0CCD \u0C8E\u0C82\u0CA4 \u0CA8\u0CBF\u0CB0\u0CCD\u0CB5\u0CB9\u0CBF\u0CB8\u0CB2\u0CC1 \u0CAE\u0CBE\u0CA1 \u0CAC\u0CC7\u0C95\u0CC1?",MenuEvents:"\u0CAE\u0CC6\u0CA8\u0CC1 \u0C98\u0C9F\u0CA8\u0CC6\u0C97\u0CB3\u0CC1",MouseEvents:"\u0CAE\u0CCC\u0CB8\u0CCD \u0C98\u0C9F\u0CA8\u0CC6\u0C97\u0CB3\u0CC1",MenuAndMouse:"\u0CAE\u0CCC\u0CB8\u0CCD \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \u0CAE\u0CC6\u0CA8\u0CC1 \u0C98\u0C9F\u0CA8\u0CC6\u0C97\u0CB3\u0CC1",FontPrefs:"\u0CA4\u0CC8\u0CB2\u0CA6\u0CBE\u0CA8\u0CBF \u0C86\u0CAF\u0CBF\u0C95\u0CC6\u0C97\u0CB3\u0CC1",ForHTMLCSS:"\u0C8E\u0C9A\u0CCD \u0CA4\u0CC0 \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD / \u0CB8\u0CC0 \u0C8E\u0CB8\u0CCD\u0CB8\u0CCD \u0C8E\u0CB8\u0CCD\u0CB8\u0CCD \u0C87\u0C97\u0CC6",Auto:"\u0CB8\u0CCD\u0CB5\u0CAF\u0C82\u0C9A\u0CB2\u0CBF",TeXLocal:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD (\u0CB2\u0CCB\u0C95\u0CB2\u0CCD)",TeXWeb:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",TeXImage:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD (\u0C87\u0CAE\u0CC7\u0C9C\u0CCD)",STIXLocal:"\u0CB7\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD (\u0CB2\u0CCB\u0C95\u0CB2\u0CCD)",STIXWeb:"\u0CB7\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",AsanaMathWeb:"\u0C86\u0CB8\u0CA8 \u0CAE\u0CBE\u0CA4 (\u0CB5\u0CC6\u0CAC\u0CCD)",GyrePagellaWeb:"\u0C97\u0CCD\u0CAF\u0CCD\u0CB0\u0CC6 \u0CAA\u0C97\u0CC6\u0CB2\u0CCD\u0CB2 (\u0CB5\u0CC6\u0CAC\u0CCD)",GyreTermesWeb:"\u0C97\u0CCD\u0CAF\u0CCD\u0CB0\u0CC6 \u0C9F\u0CB0\u0CCD\u0CAE\u0CCD\u0CB8\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",LatinModernWeb:"\u0CB9\u0CCA\u0CB8 \u0CB2\u0CCD\u0CAF\u0CBE\u0C9F\u0CBF\u0CA8\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",NeoEulerWeb:"\u0CA8\u0CBF\u0CAF\u0CCB \u0C92\u0C87\u0CB2\u0CC6\u0CB0\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",ContextMenu:"\u0CB8\u0C82\u0CA6\u0CB0\u0CCD\u0CAD\u0CCB\u0C9A\u0CBF\u0CA4 \u0CAE\u0CC6\u0CA8\u0CC1",Browser:"\u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD",Scale:"\u0C8E\u0CB2\u0CCD\u0CB2 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0C88 \u0C85\u0CAA\u0CB5\u0CB0\u0CCD\u0CA4\u0CA8 \u0CA6\u0CBF\u0C82\u0CA6 \u0CAA\u0CCD\u0CB0\u0CAE\u0CBE\u0CA3\u0CA6 \u0CAE\u0CBE\u0CA1\u0CBF :",Discoverable:"\u0CB9\u0CCA\u0CB5\u0CC6\u0CB0\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF\u0CA6\u0CBE\u0C97 \u0CB9\u0CC8\u0CB2\u0CC8\u0C9F\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF",Locale:"\u0CAD\u0CBE\u0CB7\u0CC6",LoadLocale:"\u0CAF\u0CC2 \u0C86\u0CB0\u0CCD \u0C8E\u0CB2\u0CCD\u0CB2 \u0C87\u0C82\u0CA6 \u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF",About:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CAC\u0C97\u0CCD\u0C97\u0CC6",Help:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CB8\u0CB9\u0CAF\u0CA4\u0CC6",localTeXfonts:"\u0CB2\u0CCB\u0C95\u0CB2\u0CCD \u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",webTeXfonts:"\u0CB5\u0CC6\u0CAC\u0CCD        \u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD\u0C9F\u0CCD     \u0CAB\u0CBE\u0C82\u0C9F\u0CCD     \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",imagefonts:"\u0C87\u0CAE\u0CC7\u0C9C\u0CCD    \u0CAB\u0CBE\u0C82\u0C9F\u0CCD     \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",localSTIXfonts:"\u0CB2\u0CCB\u0C95\u0CB2\u0CCD \u0CB8\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD  \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",webSVGfonts:"\u0CB5\u0CC6\u0CAC\u0CCD        \u0C8E\u0CB8 \u0CB5\u0CC7 \u0C9C\u0CC0     \u0CAB\u0CBE\u0C82\u0C9F\u0CCD     \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",genericfonts:"\u0C9C\u0CBE\u0CA4\u0CBF\u0CB5\u0CBF\u0CB6\u0CBF\u0CB8\u0CCD\u0CA4\u0CB5\u0CBE\u0CA6 \u0CAF\u0CC1\u0CA8\u0CBF\u0C95\u0CCB\u0CA1\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",wofforotffonts:"\u0CB5\u0CCA\u0CAB\u0CCD\u0CAB\u0CCD \u0C85\u0CA5\u0CB5 \u0C92\u0CA4\u0CCD\u0CAB\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CC1",eotffonts:"\u0C8E\u0C92\u0CA4\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CC1",svgfonts:"\u0C8E\u0CB8 \u0CB5\u0CC7 \u0C9C\u0CC0 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CC1",WebkitNativeMMLWarning:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0C85\u0CA6\u0CB0 \u0C85\u0CB7\u0CCD\u0C9F\u0C95\u0CCD\u0C95\u0CC7 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA5\u0CCA\u0CB0\u0CBF\u0CB8\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2. \u0C85\u0CA1\u0CCD\u0CA1\u0C95\u0CCD\u0C95\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C94\u0C9F\u0CCD\u0CAA\u0CC1\u0C9F\u0CCD \u0C87\u0C97\u0CC6 \u0CB8\u0CCD\u0CB5\u0CBF\u0C9A\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF\u0CA6\u0CB0\u0CC6, \u0C88 \u0CAA\u0CC1\u0C9F\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CA6\u0CCD\u0CA6 \u0C95\u0CC6\u0CB2\u0CB5 \u0C97\u0CA3\u0CBF\u0CA4 \u0C93\u0CA6\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CA6\u0CC6 \u0C87\u0CB0\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",MSIENativeMMLWarning:"\u0C87\u0C82\u0C9F\u0CB0\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD \u0C8E\u0C95\u0CCD\u0CB8\u0CCD\u0CAA\u0CCD\u0CB2\u0CCB\u0CB0\u0CB0\u0CCD \u0C87\u0C97\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C94\u0C9F\u0CCD\u0CAA\u0CC1\u0C9F\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAA\u0CCD\u0CB0\u0C95\u0CCD\u0CB0\u0CBF\u0CAF \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0CAA\u0CCD\u0CB2\u0CC7\u0CAF\u0CB0\u0CCD \u0CAA\u0CCD\u0CB2\u0C97\u0CCD-\u0C87\u0CA8\u0CCD \u0CAC\u0CC6\u0C95\u0CC1.",OperaNativeMMLWarning:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C87\u0C97\u0CC6 \u0C92\u0CAA\u0CC6\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0CAC\u0CC6\u0C82\u0CAC\u0CB2 \u0C89\u0C82\u0C9F\u0CC1, \u0C85\u0CA6\u0C95\u0CCD\u0C95\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C94\u0C9F\u0CCD\u0CAA\u0CC1\u0C9F\u0CCD \u0C87\u0C97\u0CC6 \u0CB8\u0CCD\u0CB5\u0CBF\u0C9A\u0CCD \u0CAE\u0CBE\u0CA6\u0CC1\u0CA6\u0CB0\u0CBF\u0C82\u0CA6 \u0C95\u0CC6\u0CB2\u0CCD\u0CB2\u0CB5 \u0CB5\u0CBF\u0CB7\u0CAF \u0C97\u0CB3\u0CC1 \u0C95\u0CC6\u0C9F\u0CCD\u0C9F \u0CB0\u0CC0\u0CA4\u0CBF\u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CB0\u0CC6\u0CA8\u0CCD\u0CA6\u0CC6\u0CB0\u0CCD \u0C86\u0C97 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",SafariNativeMMLWarning:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0C87\u0CA8 \u0C85\u0CA6\u0CB0\u0CA6\u0CCD\u0CA6\u0CC7 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0C82\u0CA4 \u0C8E\u0CB2\u0CCD\u0CB2 \u0CAB\u0CC0\u0C9A\u0CB0\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CAC\u0CBF\u0CA6\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2. \u0C85\u0CA1\u0CCD\u0CA1\u0C95\u0CCD\u0C95\u0CC6, \u0C95\u0CC6\u0CB2\u0CB5 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CB0\u0CBF \u0C86\u0C97\u0CBF \u0C95\u0CBE\u0CA3\u0CA6\u0CC6 \u0C87\u0CB0 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",FirefoxNativeMMLWarning:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0C87\u0CA8 \u0C85\u0CA6\u0CB0\u0CA6\u0CCD\u0CA6\u0CC7 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0C82\u0CA4 \u0C8E\u0CB2\u0CCD\u0CB2 \u0CAB\u0CC0\u0C9A\u0CB0\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CAC\u0CBF\u0CA6\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2. \u0C85\u0CA1\u0CCD\u0CA1\u0C95\u0CCD\u0C95\u0CC6, \u0C95\u0CC6\u0CB2\u0CB5 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CB0\u0CBF \u0C86\u0C97\u0CBF \u0C95\u0CBE\u0CA3\u0CA6\u0CC6 \u0C87\u0CB0 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",MSIESVGWarning:"\u0C8E\u0CB8\u0CCD  \u0CB5\u0CBF \u0C9C\u0CBF \u0C9A\u0CBF\u0CA4\u0CCD\u0CB0 \u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC2 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD (\u0C87\u0C82\u0C9F\u0CB0\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD \u0C8E\u0C95\u0CCD\u0CB8\u0CCD\u0CAA\u0CCD\u0CB2\u0CCB\u0CB0\u0CB0\u0CCD) \u0CAC\u0CB0\u0CBF \u0C90\u0C88\u0CEF \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CAE\u0CBE\u0CA4\u0CCD\u0CB0 \u0CB8\u0CAA\u0CCB\u0CB0\u0CCD\u0C9F\u0CCD \u0C86\u0C97\u0CC1\u0CA4\u0CA6\u0CC6. \u0C90\u0C88\u0CEF \u0C95\u0CBF\u0C82\u0CA4 \u0C95\u0CAE\u0CCD\u0CAE\u0CBF \u0CB5\u0CB0\u0CCD\u0CB7\u0CA8\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CB8\u0CBF\u0CAE\u0CC1\u0CB3\u0CC6\u0C9F\u0CCD \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0CBE\u0C97 \u0CB8\u0CB9 \u0CB9\u0CBE\u0C97\u0CC6 \u0C86\u0C97\u0CC1\u0CA4\u0CA6\u0CC6. \u0C85\u0CA6\u0C95\u0CCD\u0C95\u0CC6 \u0C8E\u0CB8 \u0CB5\u0CBF \u0C9C\u0CC0 \u0C87\u0C97\u0CC6 \u0CAC\u0CA6\u0CB2\u0CBF\u0CB8\u0CBF\u0CA6\u0CB0\u0CC6 \u0C95\u0CC6\u0CB2\u0CB5 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CB0\u0CBF \u0C86\u0C97\u0CBF \u0C95\u0CBE\u0CA3\u0CA6\u0CC6 \u0C87\u0CB0 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",LoadURL:"\u0C88 \u0CAF\u0CC1 \u0C86\u0CB0\u0CCD \u0C8E\u0CB2\u0CCD \u0C87\u0C82\u0CA6 \u0CA1\u0CBE\u0C9F\u0CBE \u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",BadURL:'\u0C88 \u0CAF\u0CC1\u0C86\u0CB0\u0CCD\u0C8E\u0CB2\u0CCD \u0C92\u0C82\u0CA6\u0CC1 \u0C9C\u0CBE\u0CB5\u0CBE\u0CB8\u0CCD\u0C95\u0CCD\u0CB0\u0CBF\u0CAA\u0CCD\u0C9F\u0CCD \u0CAB\u0CC8\u0CB2\u0CCD \u0C87\u0C97\u0CC6 \u0CB9\u0CCB\u0C97\u0CAC\u0CC7\u0C95\u0CC1 \u0CAF\u0CBE\u0CB5\u0CA6\u0CC1 \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C87\u0CA8 \u0C9F\u0CCD\u0CB0\u0CBE\u0CA8\u0CCD\u0CB8\u0CCD\u0CB2\u0CC7\u0CB7\u0CA8\u0CCD \u0CA1\u0CC7\u0C9F\u0CBE\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB9\u0CBF\u0CA1\u0CC1\u0C95\u0CCA\u0CB3\u0CCD\u0CB3\u0CC1\u0CA4\u0CA6\u0CC6. \u0C85\u0C82\u0CA4 \u0CAB\u0CC8\u0CB2\u0CCD \u0C87\u0CA8 \u0CB9\u0CC6\u0CB8\u0CB0\u0CC1 \u0C92\u0C82\u0CA6\u0CC1 ".js" \u0C8E\u0C95\u0CCD\u0CB8\u0C9F\u0CC6\u0CA8\u0CCD\u0CB6\u0CA8\u0CCD \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CAE\u0CC1\u0C97\u0CBF\u0CA4\u0CA6\u0CC6,',BadData:"%1 \u0C87\u0C82\u0CA6 \u0C85\u0CA8\u0CC1\u0CB5\u0CBE\u0CA7 \u0CA1\u0CBE\u0C9F\u0CBE \u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2",SwitchAnyway:"\u0C86\u0CA6\u0CB0\u0CC1\u0CB8\u0CB9 \u0CB0\u0CC6\u0CA8\u0CCD\u0CA6\u0CC6\u0CB0\u0CC6\u0CB0\u0CCD \u0CAC\u0CA6\u0CB2\u0CBE\u0CAF\u0CBF\u0CB8 \u0CAC\u0CC6\u0C95?",ScaleMath:"\u0CAF\u0CB2\u0CCD\u0CB2 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAC\u0CBE\u0C95\u0CBF \u0CAA\u0CA5\u0CCD\u0CAF\u0C95\u0CCD\u0C95\u0CC6  \u0CB9\u0CCB\u0CB2\u0CBF\u0C95\u0CC6\u0CAF\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CB7\u0CCD\u0C9F\u0CC1 \u0C85\u0CAA\u0CB5\u0CB0\u0CCD\u0CA4\u0CA8\u0CA6\u0CBF\u0C82\u0CA6 \u0CA6\u0CCA\u0CA1\u0CCD\u0CA1\u0CA6\u0CC1 \u0C85\u0CA5\u0CB5\u0CBE \u0CB8\u0CC7\u0CA8\u0CCD\u0CA8\u0CA6\u0CC1 \u0CAE\u0CBE\u0CA6\u0CBF.",NonZeroScale:"\u0CB8\u0CCD\u0C95\u0CC7\u0CB2\u0CCD \u0CB8\u0CCA\u0CA8\u0CCD\u0CA8\u0CC6 \u0C87\u0CB0 \u0CAC\u0CBE\u0CB0\u0CA6\u0CC1",PercentScale:"\u0CB8\u0CCD\u0C95\u0CC7\u0CB2\u0CCD \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CB0\u0CCD\u0CB8\u0C82\u0C9F\u0CC7\u0C9C\u0CCD \u0C87\u0CB0\u0CAC\u0CC7\u0C95\u0CC1 (\u0C89\u0CA6\u0CBE\u0CB9\u0CB0\u0CA3: \u0CE7\u0CE8\u0CE6%%)",NoOriginalForm:"\u0CAE\u0CC2\u0CB2 \u0CB0\u0CC2\u0CAA \u0CB2\u0CAD\u0CCD\u0CAF\u0CB5\u0CBF\u0CB0\u0CB5 \u0C87\u0CB2\u0CCD\u0CB2",Close:"\u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CBF",EqSource:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C8E\u0C95\u0CBC\u0CC1\u0C85\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0CB8\u0CCA\u0CB0\u0CCD\u0CB8\u0CCD"}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/MathMenu.js");
+MathJax.Localization.addTranslation("kn","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB9\u0CC7\u0C97\u0CC6 \u0CA4\u0CCB\u0CB0\u0CBF\u0CB8\u0CB2\u0CBF?",MathMLcode:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD  \u0CB8\u0CE6\u0C95\u0CC7\u0CA4",OriginalMathML:"\u0CAE\u0CC2\u0CB2 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD",TeXCommands:"\u0C9F\u0CC6\u0C95\u0CCD\u0CB7\u0CCD 	\u0C85\u0CAA\u0CCD\u0CAA\u0CA3\u0CC6\u0C97\u0CB3\u0CC1",AsciiMathInput:"\u0C86\u0CB8\u0CCD\u0C9A\u0CC0 \u0CAE\u0CBE\u0CA4 \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD",Original:"\u0CAE\u0CC2\u0CB2 \u0CB0\u0CC2\u0CAA",ErrorMessage:"\u0CA4\u0CCD\u0CB0\u0CC1\u0C9F\u0CBF \u0CAA\u0CA4\u0CCD\u0CB0",Annotation:"\u0C9F\u0CBF\u0CAA\u0CCD\u0CAA\u0CA3\u0CBF",TeX:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD",StarMath:"\u0CB8\u0CCD\u0C9F\u0CBE\u0CB0\u0CCD \u0CAE\u0CBE\u0CA4\u0CCD",Maple:"\u0CAE\u0CC7\u0CAA\u0CB2\u0CCD",ContentMathML:"\u0CB5\u0CBF\u0CB7\u0CAF \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD",OpenMath:"\u0C93\u0CAA\u0CA8\u0CCD \u0CAE\u0CBE\u0CA4\u0CCD",texHints:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD \u0CB8\u0CC2\u0C9A\u0CCD\u0CAF\u0CB5\u0CBE\u0C97\u0CBF\u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC2 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CA4\u0CCB\u0CB0\u0CBF\u0CB8\u0CBF",Settings:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CC6\u0C9F\u0CCD\u0C9F\u0CBF\u0C82\u0C97\u0CCD\u0C97\u0CB3\u0CC1",ZoomTrigger:"\u0C9C\u0CC2\u0CAE\u0CCD \u0C9F\u0CCD\u0CB0\u0CBF\u0C97\u0CB0\u0CCD",Hover:"\u0CB9\u0CCA\u0CB5\u0CC6\u0CB0\u0CCD",Click:"\u0C95\u0CCD\u0CB2\u0CBF\u0C95\u0CCD",DoubleClick:"\u0C8E\u0CB0\u0CA1\u0CC1 \u0C95\u0CCD\u0CB2\u0CBF\u0C95\u0CCD",NoZoom:"\u0C9C\u0CCB\u0CAE \u0C87\u0CB2\u0CCD\u0CB2",TriggerRequires:"\u0C9F\u0CCD\u0CB0\u0CBF\u0C97\u0CB0\u0CCD \u0C87\u0C97\u0CC6 \u0CAC\u0CC6\u0C95\u0C97\u0CC1\u0CA4\u0CA6\u0CC6:",Option:"\u0C86\u0CAF\u0CCD\u0C95\u0CC6",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"\u0C9C\u0CCB\u0CAE \u0C85\u0CAA\u0CB5\u0CB0\u0CCD\u0CA4\u0CA8",Renderer:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA4\u0CBF\u0CAF\u0CBE\u0C97\u0CBF \u0C95\u0CCA\u0CA1\u0CC1\u0CB5\u0CB5",MPHandles:"\u0CAE\u0CA4\u0CCD \u0CAA\u0CCD\u0CB2\u0CC7\u0CAF\u0CB0\u0CCD \u0C8E\u0C82\u0CA4 \u0CA8\u0CBF\u0CB0\u0CCD\u0CB5\u0CB9\u0CBF\u0CB8\u0CB2\u0CC1 \u0CAE\u0CBE\u0CA1 \u0CAC\u0CC7\u0C95\u0CC1?",MenuEvents:"\u0CAE\u0CC6\u0CA8\u0CC1 \u0C98\u0C9F\u0CA8\u0CC6\u0C97\u0CB3\u0CC1",MouseEvents:"\u0CAE\u0CCC\u0CB8\u0CCD \u0C98\u0C9F\u0CA8\u0CC6\u0C97\u0CB3\u0CC1",MenuAndMouse:"\u0CAE\u0CCC\u0CB8\u0CCD \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \u0CAE\u0CC6\u0CA8\u0CC1 \u0C98\u0C9F\u0CA8\u0CC6\u0C97\u0CB3\u0CC1",FontPrefs:"\u0CA4\u0CC8\u0CB2\u0CA6\u0CBE\u0CA8\u0CBF \u0C86\u0CAF\u0CBF\u0C95\u0CC6\u0C97\u0CB3\u0CC1",ForHTMLCSS:"\u0C8E\u0C9A\u0CCD \u0CA4\u0CC0 \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD / \u0CB8\u0CC0 \u0C8E\u0CB8\u0CCD\u0CB8\u0CCD \u0C8E\u0CB8\u0CCD\u0CB8\u0CCD \u0C87\u0C97\u0CC6",Auto:"\u0CB8\u0CCD\u0CB5\u0CAF\u0C82\u0C9A\u0CB2\u0CBF",TeXLocal:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD (\u0CB2\u0CCB\u0C95\u0CB2\u0CCD)",TeXWeb:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",TeXImage:"\u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD (\u0C87\u0CAE\u0CC7\u0C9C\u0CCD)",STIXLocal:"\u0CB7\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD (\u0CB2\u0CCB\u0C95\u0CB2\u0CCD)",STIXWeb:"\u0CB7\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",AsanaMathWeb:"\u0C86\u0CB8\u0CA8 \u0CAE\u0CBE\u0CA4 (\u0CB5\u0CC6\u0CAC\u0CCD)",GyrePagellaWeb:"\u0C97\u0CCD\u0CAF\u0CCD\u0CB0\u0CC6 \u0CAA\u0C97\u0CC6\u0CB2\u0CCD\u0CB2 (\u0CB5\u0CC6\u0CAC\u0CCD)",GyreTermesWeb:"\u0C97\u0CCD\u0CAF\u0CCD\u0CB0\u0CC6 \u0C9F\u0CB0\u0CCD\u0CAE\u0CCD\u0CB8\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",LatinModernWeb:"\u0CB9\u0CCA\u0CB8 \u0CB2\u0CCD\u0CAF\u0CBE\u0C9F\u0CBF\u0CA8\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",NeoEulerWeb:"\u0CA8\u0CBF\u0CAF\u0CCB \u0C92\u0C87\u0CB2\u0CC6\u0CB0\u0CCD (\u0CB5\u0CC6\u0CAC\u0CCD)",ContextMenu:"\u0CB8\u0C82\u0CA6\u0CB0\u0CCD\u0CAD\u0CCB\u0C9A\u0CBF\u0CA4 \u0CAE\u0CC6\u0CA8\u0CC1",Browser:"\u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD",Scale:"\u0C8E\u0CB2\u0CCD\u0CB2 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0C88 \u0C85\u0CAA\u0CB5\u0CB0\u0CCD\u0CA4\u0CA8 \u0CA6\u0CBF\u0C82\u0CA6 \u0CAA\u0CCD\u0CB0\u0CAE\u0CBE\u0CA3\u0CA6 \u0CAE\u0CBE\u0CA1\u0CBF :",Discoverable:"\u0CB9\u0CCA\u0CB5\u0CC6\u0CB0\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF\u0CA6\u0CBE\u0C97 \u0CB9\u0CC8\u0CB2\u0CC8\u0C9F\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF",Locale:"\u0CAD\u0CBE\u0CB7\u0CC6",LoadLocale:"\u0CAF\u0CC2 \u0C86\u0CB0\u0CCD \u0C8E\u0CB2\u0CCD\u0CB2 \u0C87\u0C82\u0CA6 \u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF",About:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CAC\u0C97\u0CCD\u0C97\u0CC6",Help:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CB8\u0CB9\u0CAF\u0CA4\u0CC6",localTeXfonts:"\u0CB2\u0CCB\u0C95\u0CB2\u0CCD \u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",webTeXfonts:"\u0CB5\u0CC6\u0CAC\u0CCD        \u0CA4\u0CC6\u0C95\u0CCD\u0CB7\u0CCD\u0C9F\u0CCD     \u0CAB\u0CBE\u0C82\u0C9F\u0CCD     \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",imagefonts:"\u0C87\u0CAE\u0CC7\u0C9C\u0CCD    \u0CAB\u0CBE\u0C82\u0C9F\u0CCD     \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",localSTIXfonts:"\u0CB2\u0CCB\u0C95\u0CB2\u0CCD \u0CB8\u0CCD\u0CA4\u0CBF\u0C95\u0CCD\u0CB7\u0CCD  \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",webSVGfonts:"\u0CB5\u0CC6\u0CAC\u0CCD        \u0C8E\u0CB8 \u0CB5\u0CC7 \u0C9C\u0CC0     \u0CAB\u0CBE\u0C82\u0C9F\u0CCD     \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA6\u0CCA\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",genericfonts:"\u0C9C\u0CBE\u0CA4\u0CBF\u0CB5\u0CBF\u0CB6\u0CBF\u0CB8\u0CCD\u0CA4\u0CB5\u0CBE\u0CA6 \u0CAF\u0CC1\u0CA8\u0CBF\u0C95\u0CCB\u0CA1\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",wofforotffonts:"\u0CB5\u0CCA\u0CAB\u0CCD\u0CAB\u0CCD \u0C85\u0CA5\u0CB5 \u0C92\u0CA4\u0CCD\u0CAB\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CC1",eotffonts:"\u0C8E\u0C92\u0CA4\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CC1",svgfonts:"\u0C8E\u0CB8 \u0CB5\u0CC7 \u0C9C\u0CC0 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0C97\u0CB3\u0CC1",WebkitNativeMMLWarning:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0C85\u0CA6\u0CB0 \u0C85\u0CB7\u0CCD\u0C9F\u0C95\u0CCD\u0C95\u0CC7 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA5\u0CCA\u0CB0\u0CBF\u0CB8\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2. \u0C85\u0CA1\u0CCD\u0CA1\u0C95\u0CCD\u0C95\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C94\u0C9F\u0CCD\u0CAA\u0CC1\u0C9F\u0CCD \u0C87\u0C97\u0CC6 \u0CB8\u0CCD\u0CB5\u0CBF\u0C9A\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF\u0CA6\u0CB0\u0CC6, \u0C88 \u0CAA\u0CC1\u0C9F\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CA6\u0CCD\u0CA6 \u0C95\u0CC6\u0CB2\u0CB5 \u0C97\u0CA3\u0CBF\u0CA4 \u0C93\u0CA6\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CA6\u0CC6 \u0C87\u0CB0\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",MSIENativeMMLWarning:"\u0C87\u0C82\u0C9F\u0CB0\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD \u0C8E\u0C95\u0CCD\u0CB8\u0CCD\u0CAA\u0CCD\u0CB2\u0CCB\u0CB0\u0CB0\u0CCD \u0C87\u0C97\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C94\u0C9F\u0CCD\u0CAA\u0CC1\u0C9F\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAA\u0CCD\u0CB0\u0C95\u0CCD\u0CB0\u0CBF\u0CAF \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0CAA\u0CCD\u0CB2\u0CC7\u0CAF\u0CB0\u0CCD \u0CAA\u0CCD\u0CB2\u0C97\u0CCD-\u0C87\u0CA8\u0CCD \u0CAC\u0CC6\u0C95\u0CC1.",OperaNativeMMLWarning:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C87\u0C97\u0CC6 \u0C92\u0CAA\u0CC6\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0CAC\u0CC6\u0C82\u0CAC\u0CB2 \u0C89\u0C82\u0C9F\u0CC1, \u0C85\u0CA6\u0C95\u0CCD\u0C95\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C94\u0C9F\u0CCD\u0CAA\u0CC1\u0C9F\u0CCD \u0C87\u0C97\u0CC6 \u0CB8\u0CCD\u0CB5\u0CBF\u0C9A\u0CCD \u0CAE\u0CBE\u0CA6\u0CC1\u0CA6\u0CB0\u0CBF\u0C82\u0CA6 \u0C95\u0CC6\u0CB2\u0CCD\u0CB2\u0CB5 \u0CB5\u0CBF\u0CB7\u0CAF \u0C97\u0CB3\u0CC1 \u0C95\u0CC6\u0C9F\u0CCD\u0C9F \u0CB0\u0CC0\u0CA4\u0CBF\u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CB0\u0CC6\u0CA8\u0CCD\u0CA6\u0CC6\u0CB0\u0CCD \u0C86\u0C97 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",SafariNativeMMLWarning:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0C87\u0CA8 \u0C85\u0CA6\u0CB0\u0CA6\u0CCD\u0CA6\u0CC7 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0C82\u0CA4 \u0C8E\u0CB2\u0CCD\u0CB2 \u0CAB\u0CC0\u0C9A\u0CB0\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CAC\u0CBF\u0CA6\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2. \u0C85\u0CA1\u0CCD\u0CA1\u0C95\u0CCD\u0C95\u0CC6, \u0C95\u0CC6\u0CB2\u0CB5 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CB0\u0CBF \u0C86\u0C97\u0CBF \u0C95\u0CBE\u0CA3\u0CA6\u0CC6 \u0C87\u0CB0 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",FirefoxNativeMMLWarning:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD \u0C87\u0CA8 \u0C85\u0CA6\u0CB0\u0CA6\u0CCD\u0CA6\u0CC7 \u0CAE\u0CBE\u0CA4\u0CCD \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0C82\u0CA4 \u0C8E\u0CB2\u0CCD\u0CB2 \u0CAB\u0CC0\u0C9A\u0CB0\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CAC\u0CBF\u0CA6\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2. \u0C85\u0CA1\u0CCD\u0CA1\u0C95\u0CCD\u0C95\u0CC6, \u0C95\u0CC6\u0CB2\u0CB5 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CB0\u0CBF \u0C86\u0C97\u0CBF \u0C95\u0CBE\u0CA3\u0CA6\u0CC6 \u0C87\u0CB0 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",MSIESVGWarning:"\u0C8E\u0CB8\u0CCD  \u0CB5\u0CBF \u0C9C\u0CBF \u0C9A\u0CBF\u0CA4\u0CCD\u0CB0 \u0C97\u0CB3\u0CA8\u0CCD\u0CA8\u0CC2 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD (\u0C87\u0C82\u0C9F\u0CB0\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD \u0C8E\u0C95\u0CCD\u0CB8\u0CCD\u0CAA\u0CCD\u0CB2\u0CCB\u0CB0\u0CB0\u0CCD) \u0CAC\u0CB0\u0CBF \u0C90\u0C88\u0CEF \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CAE\u0CBE\u0CA4\u0CCD\u0CB0 \u0CB8\u0CAA\u0CCB\u0CB0\u0CCD\u0C9F\u0CCD \u0C86\u0C97\u0CC1\u0CA4\u0CA6\u0CC6. \u0C90\u0C88\u0CEF \u0C95\u0CBF\u0C82\u0CA4 \u0C95\u0CAE\u0CCD\u0CAE\u0CBF \u0CB5\u0CB0\u0CCD\u0CB7\u0CA8\u0CCD \u0C97\u0CB3\u0CA8\u0CCD\u0CA8 \u0CB8\u0CBF\u0CAE\u0CC1\u0CB3\u0CC6\u0C9F\u0CCD \u0CAE\u0CBE\u0CA1\u0CC1\u0CB5\u0CBE\u0C97 \u0CB8\u0CB9 \u0CB9\u0CBE\u0C97\u0CC6 \u0C86\u0C97\u0CC1\u0CA4\u0CA6\u0CC6. \u0C85\u0CA6\u0C95\u0CCD\u0C95\u0CC6 \u0C8E\u0CB8 \u0CB5\u0CBF \u0C9C\u0CC0 \u0C87\u0C97\u0CC6 \u0CAC\u0CA6\u0CB2\u0CBF\u0CB8\u0CBF\u0CA6\u0CB0\u0CC6 \u0C95\u0CC6\u0CB2\u0CB5 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB8\u0CB0\u0CBF \u0C86\u0C97\u0CBF \u0C95\u0CBE\u0CA3\u0CA6\u0CC6 \u0C87\u0CB0 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",LoadURL:"\u0C88 \u0CAF\u0CC1 \u0C86\u0CB0\u0CCD \u0C8E\u0CB2\u0CCD \u0C87\u0C82\u0CA6 \u0CA1\u0CBE\u0C9F\u0CBE \u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",BadURL:'\u0C88 \u0CAF\u0CC1\u0C86\u0CB0\u0CCD\u0C8E\u0CB2\u0CCD \u0C92\u0C82\u0CA6\u0CC1 \u0C9C\u0CBE\u0CB5\u0CBE\u0CB8\u0CCD\u0C95\u0CCD\u0CB0\u0CBF\u0CAA\u0CCD\u0C9F\u0CCD \u0CAB\u0CC8\u0CB2\u0CCD \u0C87\u0C97\u0CC6 \u0CB9\u0CCB\u0C97\u0CAC\u0CC7\u0C95\u0CC1 \u0CAF\u0CBE\u0CB5\u0CA6\u0CC1 \u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C87\u0CA8 \u0C9F\u0CCD\u0CB0\u0CBE\u0CA8\u0CCD\u0CB8\u0CCD\u0CB2\u0CC7\u0CB7\u0CA8\u0CCD \u0CA1\u0CC7\u0C9F\u0CBE\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB9\u0CBF\u0CA1\u0CC1\u0C95\u0CCA\u0CB3\u0CCD\u0CB3\u0CC1\u0CA4\u0CA6\u0CC6. \u0C85\u0C82\u0CA4 \u0CAB\u0CC8\u0CB2\u0CCD \u0C87\u0CA8 \u0CB9\u0CC6\u0CB8\u0CB0\u0CC1 \u0C92\u0C82\u0CA6\u0CC1 ".js" \u0C8E\u0C95\u0CCD\u0CB8\u0C9F\u0CC6\u0CA8\u0CCD\u0CB6\u0CA8\u0CCD \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CAE\u0CC1\u0C97\u0CBF\u0CA4\u0CA6\u0CC6,',BadData:"%1 \u0C87\u0C82\u0CA6 \u0C85\u0CA8\u0CC1\u0CB5\u0CBE\u0CA7 \u0CA1\u0CBE\u0C9F\u0CBE \u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2",SwitchAnyway:"\u0C86\u0CA6\u0CB0\u0CC1\u0CB8\u0CB9 \u0CB0\u0CC6\u0CA8\u0CCD\u0CA6\u0CC6\u0CB0\u0CC6\u0CB0\u0CCD \u0CAC\u0CA6\u0CB2\u0CBE\u0CAF\u0CBF\u0CB8 \u0CAC\u0CC6\u0C95?",ScaleMath:"\u0CAF\u0CB2\u0CCD\u0CB2 \u0C97\u0CA3\u0CBF\u0CA4 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAC\u0CBE\u0C95\u0CBF \u0CAA\u0CA5\u0CCD\u0CAF\u0C95\u0CCD\u0C95\u0CC6  \u0CB9\u0CCB\u0CB2\u0CBF\u0C95\u0CC6\u0CAF\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CB7\u0CCD\u0C9F\u0CC1 \u0C85\u0CAA\u0CB5\u0CB0\u0CCD\u0CA4\u0CA8\u0CA6\u0CBF\u0C82\u0CA6 \u0CA6\u0CCA\u0CA1\u0CCD\u0CA1\u0CA6\u0CC1 \u0C85\u0CA5\u0CB5\u0CBE \u0CB8\u0CC7\u0CA8\u0CCD\u0CA8\u0CA6\u0CC1 \u0CAE\u0CBE\u0CA6\u0CBF.",NonZeroScale:"\u0CB8\u0CCD\u0C95\u0CC7\u0CB2\u0CCD \u0CB8\u0CCA\u0CA8\u0CCD\u0CA8\u0CC6 \u0C87\u0CB0 \u0CAC\u0CBE\u0CB0\u0CA6\u0CC1",PercentScale:"\u0CB8\u0CCD\u0C95\u0CC7\u0CB2\u0CCD \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CB0\u0CCD\u0CB8\u0C82\u0C9F\u0CC7\u0C9C\u0CCD \u0C87\u0CB0\u0CAC\u0CC7\u0C95\u0CC1 (\u0C89\u0CA6\u0CBE\u0CB9\u0CB0\u0CA3: \u0CE7\u0CE8\u0CE6%%)",NoOriginalForm:"\u0CAE\u0CC2\u0CB2 \u0CB0\u0CC2\u0CAA \u0CB2\u0CAD\u0CCD\u0CAF\u0CB5\u0CBF\u0CB0\u0CB5 \u0C87\u0CB2\u0CCD\u0CB2",Close:"\u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CBF",EqSource:"\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C8E\u0C95\u0CBC\u0CC1\u0C85\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0CB8\u0CCA\u0CB0\u0CCD\u0CB8\u0CCD"}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/MathMenu.js");
diff --git a/localization/kn/TeX.js b/localization/kn/TeX.js
index e799603cae..7ea0c8e0db 100644
--- a/localization/kn/TeX.js
+++ b/localization/kn/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/kn/TeX.js
+ *  /MathJax-v2/localization/kn/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("kn","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD \u0C85\u0CA5\u0CB5 \u0C95\u0CA1\u0CBF\u0CAE\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",ExtraCloseMissingOpen:"\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD \u0C85\u0CA5\u0CB5 \u0C95\u0CA1\u0CBF\u0CAE\u0CC6 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",MissingLeftExtraRight:"\u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \\left \u0C85\u0CA5\u0CB5 \u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \\right",MissingScript:"\u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0C89\u0C9A\u0CCD\u0C9A\u0CBE\u0C95\u0CCD\u0CB7\u0CB0 \u0C85\u0CA5\u0CB5 \u0CA8\u0CBF\u0CAE\u0CCD\u0CA8\u0CBE\u0C95\u0CCD\u0CB7\u0CB0",ExtraLeftMissingRight:"\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \\left \u0C85\u0CA5\u0CB5 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \\right",Misplaced:"\u0CA4\u0CAA\u0CCD\u0CAA \u0CB8\u0CCD\u0CA5\u0CB3\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0C9F\u0CCD\u0C9F\u0CBF\u0CA6\u0CCD\u0CA6\u0CC1  %1",MissingOpenForSub:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CA8\u0CBE\u0C95\u0CCD\u0CB7\u0CB0\u0C95\u0CCD\u0C95\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97",MissingOpenForSup:"\u0C89\u0C9A\u0CCD\u0C9A\u0CBE\u0C95\u0CCD\u0CB7\u0CB0\u0C95\u0CCD\u0C95\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97",AmbiguousUseOf:"%1 \u0C87\u0CA8 \u0C85\u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F \u0C89\u0CAA\u0CAF\u0CCB\u0C97",EnvBadEnd:"\\begin{%1} \u0C87\u0CA8 \u0C85\u0C82\u0CA4 \\end{%2} \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CAE\u0CBE\u0CA6\u0CBF\u0CB9\u0CCB\u0C97\u0CBF\u0CA6\u0CC6",EnvMissingEnd:"\u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \\end{%1}",MissingBoxFor:"%1 \u0C87\u0C97\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0CB8\u0C82\u0CA6\u0CC2\u0C95",MissingCloseBrace:"\u0C95\u0CA1\u0CBF\u0CAE\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",UndefinedControlSequence:"\u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F\u0CC0\u0C95\u0CB0\u0CBF\u0CB8\u0CA6 \u0CA8\u0CBF\u0CAF\u0C82\u0CA4\u0CCD\u0CB0\u0CA3 \u0C85\u0CA8\u0CC1\u0C95\u0CCD\u0CB0\u0CAE %1",DoubleExponent:"\u0C8E\u0CB0\u0CA1\u0CC1 \u0CB8\u0CCD\u0CA5\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0C89\u0C9A\u0CCD\u0C9A\u0CBE\u0C95\u0CCD\u0CB7\u0CB0; \u0CAC\u0CCD\u0CB0\u0CB8\u0CC6\u0CB8\u0CCD \u0C87\u0CA8 \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F \u0CAE\u0CBE\u0CA1\u0CC1",DoubleSubscripts:"\u0C8E\u0CB0\u0CA1\u0CC1 \u0CB8\u0CCD\u0CA5\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0CA8\u0CBF\u0CAE\u0CCD\u0CA8\u0CBE\u0C95\u0CCD\u0CB7\u0CB0; \u0CAC\u0CCD\u0CB0\u0CB8\u0CC6\u0CB8\u0CCD \u0C87\u0CA8 \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F \u0CAE\u0CBE\u0CA1\u0CC1",DoubleExponentPrime:"\u0CAA\u0CCD\u0CB0\u0CC8\u0CAE\u0CCD \u0C87\u0C82\u0CA6 \u0C86\u0C97\u0CBF \u0C8E\u0CB0\u0CA1\u0CC1 \u0CB8\u0CCD\u0CA4\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0C89\u0C9A\u0CCD\u0C9A\u0CBE\u0C95\u0CCD\u0CB7\u0CB0 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB9\u0CC1\u0CA4\u0CCD\u0CA4\u0CBF\u0CB8\u0CBF\u0CA4\u0CC1\u0CA6\u0CC6. \u0CAC\u0CCD\u0CB0\u0CB8\u0CC6\u0CB8\u0CCD \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F \u0CAE\u0CBE\u0CA6\u0CBF.",CantUseHash1:"'macro \u0CAA\u0CCD\u0CAF\u0CBE\u0CB0\u0CBE\u0CAE\u0CC0\u0C9F\u0CB0\u0CCD \u0C95\u0CCD\u0CAF\u0CBE\u0CB0\u0CC6\u0C95\u0CCD\u0C9F\u0CB0\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAE\u0CBE\u0CA4\u0CCD \u0CAE\u0CCB\u0CA1\u0CCD \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2.",MisplacedMiddle:"%1 \\left \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \\right  \u0C87\u0CA8 \u0CAE\u0CA7\u0CCD\u0CAF\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CB0\u0CAC\u0CC7\u0C95\u0CC1",MisplacedLimits:"%1 \u0CAC\u0CB0\u0CBF \u0C86\u0CAA\u0CB0\u0CC7\u0C9F\u0CB0\u0CCD\u0CB8\u0CCD \u0C87\u0C97\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD\u0CB0 \u0CB9\u0CBE\u0C95\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",MisplacedMoveRoot:"%1 \u0CAC\u0CB0\u0CBF root \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CAE\u0CBE\u0CA4\u0CCD\u0CB0 \u0CAC\u0CB0 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",MultipleCommand:" \u0C85\u0CA8\u0CC7\u0C95  %1.",IntegerArg:"%1 \u0C87\u0C97\u0CC6 \u0CAC\u0C82\u0CA1 \u0C86\u0CB0\u0CCD\u0C97\u0CCD\u0CAF\u0CC1\u0CAE\u0CC6\u0C82\u0C9F\u0CCD \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CC1\u0CB0\u0CCD\u0CA8\u0CBE\u0CA8\u0CCD\u0C95\u0CB5\u0CC7 \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",NotMathMLToken:"%1 \u0C9F\u0CCB\u0C95\u0CA8\u0CCD \u0C8E\u0CB2\u0CBF\u0CAE\u0CC6\u0C82\u0C9F\u0CCD \u0C85\u0CB2\u0CCD\u0CB2.",InvalidMathMLAttr:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CAE\u0CBE\u0CA4 \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C97\u0CC1\u0CA3 :    %1",UnknownAttrForElement:"%1 %2 \u0C87\u0C97\u0CC6 \u0CAE\u0CBE\u0CA8\u0CCD\u0CAF\u0CA4\u0CC6 \u0C97\u0CC1\u0CA3 \u0C85\u0CB2\u0CCD\u0CB2",MaxMacroSub1:"\u0CAE\u0CA5\u0CCD\u0C9C\u0C95\u0CCD\u0CB7\u0CCD  \u0C97\u0CB0\u0CBF\u0CB7\u0CCD\u0CA0 \u0CAE\u0CCD\u0CAF\u0CBE\u0C95\u0CCD\u0CB0\u0CCB \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CAF \u0CAE\u0CC0\u0CB0\u0CBF\u0CA6\u0CC6 \u0CAE\u0CCD\u0CAF\u0CBE\u0C97\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD; \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CC1\u0CA8\u0CB0\u0CBE\u0CB5\u0CB0\u0CCD\u0CA4\u0CBF\u0CA4 \u0CAE\u0CCD\u0CAF\u0CBE\u0C95\u0CCD\u0CB0\u0CCB \u0C95\u0CB0\u0CC6 \u0C87\u0CB2\u0CCD\u0CB2?",MaxMacroSub2:"\u0C97\u0CB0\u0CBF\u0CB7\u0CCD\u0CA0 \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CAF \u0CAE\u0CC0\u0CB0\u0CBF\u0CA6\u0CC6 \u0CAE\u0CCD\u0CAF\u0CBE\u0C97\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD; \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CC1\u0CA8\u0CB0\u0CBE\u0CB5\u0CB0\u0CCD\u0CA4\u0CBF\u0CA4 \u0CB2\u0CCD\u0CAF\u0CBE\u0C9F\u0CC6\u0C95\u0CCD\u0CB8\u0CCD \u0CAA\u0CB0\u0CBF\u0CB8\u0CB0\u0C95\u0CCD\u0C95\u0CC6 \u0C87\u0CB2\u0CCD\u0CB2?",MissingArgFor:"%1 \u0C87\u0C97\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6",ExtraAlignTab:"\\cases \u0CAA\u0CA0\u0CCD\u0CAF\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0C85\u0CB2\u0CC8\u0CA8\u0CCD\u0CAE\u0CC6\u0C82\u0C9F\u0CCD \u0C9F\u0CCD\u0CAF\u0CBE\u0CAC\u0CCD.",BracketMustBeDimension:"%1 \u0C87\u0C97\u0CC6 \u0C87\u0CA6\u0CCD\u0CA6 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0C85\u0CB3\u0CA4\u0CC6\u0CB5\u0CC6 \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",InvalidEnv:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CB5\u0CB0\u0CA3 \u0CB9\u0CC6\u0CB8\u0CB0\u0CC1:  %1",UnknownEnv:"\u0C85\u0C9C\u0CCD\u0C9E\u0CBE\u0CA4 \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CB5\u0CB0\u0CA3 '%1'",ExtraCloseLooking:"%1 \u0CB9\u0CC1\u0CA1\u0CC1\u0C95\u0CC1\u0CB5\u0CBE\u0C97 \u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CBF\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",MissingCloseBracket:"%1 \u0C87\u0C97\u0CC6 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6\u0C97\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CC6\u0CA6\u0CC6 ']' \u0CB8\u0CBF\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2",MissingOrUnrecognizedDelim:"%1 \u0C87\u0C97\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0C85\u0CA5\u0CB5 \u0C85\u0CB0\u0CCD\u0CA5 \u0C86\u0C97\u0CA6 \u0C87\u0CA6\u0CCD\u0CA6 \u0CAC\u0CCD\u0CB0\u0C9A\u0CCD\u0C95\u0CC6\u0CA4\u0CCD.",MissingDimOrUnits:"%1 \u0C87\u0C97\u0CC6 \u0CB8\u0CBF\u0C97\u0CA6\u0CC7 \u0C87\u0CA6\u0CCD\u0CA6 \u0C85\u0CB2\u0CBF\u0CA4\u0CC6 \u0C85\u0CA5\u0CB5 \u0C85\u0CA6\u0CB0 \u0C98\u0C9F\u0C95\u0C97\u0CB3\u0CC1.",TokenNotFoundForCommand:"%1 \u0C87\u0C97\u0CC6 %2 \u0CB8\u0CBF\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2.",MathNotTerminated:"\u0C97\u0CA3\u0CBF\u0CA4\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAA\u0CA5\u0CCD\u0CAF \u0CB8\u0C82\u0CA6\u0CC2\u0C95 \u0CB5\u0CB3\u0C97\u0CC6 \u0CAE\u0CC1\u0C97\u0CBF\u0CB8\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2",IllegalMacroParam:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CAE\u0CCD\u0CAF\u0CBE\u0C95\u0CCD\u0CB0\u0CCB \u0CAA\u0CCD\u0CAF\u0CBE\u0CB0\u0CBE\u0CAE\u0CC0\u0C9F\u0CB0\u0CCD \u0C87\u0C97\u0CC6 \u0C89\u0CB2\u0CCD\u0CB2\u0CC7\u0C96",MaxBufferSize:"\u0CAE\u0CBE\u0CA4 \u0C9C\u0C95\u0CCD\u0CB7\u0CCD  \u0C86\u0C82\u0CA4\u0CB0\u0CBF\u0C95 \u0CAC\u0CAB\u0CB0\u0CCD \u0C97\u0CBE\u0CA4\u0CCD\u0CB0\u0CA6 \u0CAE\u0CC0\u0CB0\u0CBF\u0CA6\u0CC6; \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CC1\u0CA8\u0CB0\u0CBE\u0CB5\u0CB0\u0CCD\u0CA4\u0CBF\u0CA4 \u0CAE\u0CCD\u0CAF\u0CBE\u0C95\u0CCD\u0CB0\u0CCB \u0C95\u0CB0\u0CC6 \u0C87\u0CB2\u0CCD\u0CB2?",CommandNotAllowedInEnv:"%2 \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CB5\u0CB0\u0CA3\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF  %1 \u0C85\u0CB5\u0C95\u0CBE\u0CB6 \u0C85\u0CB2\u0CCD\u0CB2",MultipleLabel:"%1 \u0C85\u0CA8\u0CC7\u0C95 \u0CB8\u0CB2 \u0CB5\u0CCD\u0CAF\u0CBE\u0C96\u0CCD\u0CAF\u0CBE\u0CA8\u0CBF\u0CB8\u0CB2\u0CC1 \u0C86\u0C97\u0CBF\u0C95\u0CCA\u0C82\u0CA1\u0CC1 \u0C89\u0C82\u0C9F\u0CC1",CommandAtTheBeginingOfLine:"%1 \u0CAA\u0C82\u0C95\u0CCD\u0CA4\u0CBF\u0CA6 \u0CAE\u0CCA\u0CA6\u0CB2\u0CC1 \u0CAC\u0CB0\u0CAC\u0CC7\u0C95\u0CC1",IllegalAlign:"%1 \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CB8\u0CBE\u0CB2\u0CC1\u0C97\u0CC2\u0CA1\u0CBF\u0C95\u0CC6 \u0CB9\u0CC7\u0CB3\u0CBF \u0CB9\u0CCB\u0C97\u0CBF\u0CA6\u0CC6",BadMathStyleFor:"%1 \u0C87\u0C97\u0CC6 \u0C95\u0CC6\u0C9F\u0CCD\u0C9F \u0C97\u0CA3\u0CBF\u0CA4\u0CA6\u0CCD\u0CA6\u0CC1 \u0CB6\u0CC8\u0CB2\u0CBF \u0C89\u0C82\u0C9F\u0CC1",PositiveIntegerArg:"%1 \u0C87\u0C97\u0CC6 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0CA7\u0CA8\u0CBE\u0CA4\u0CCD\u0CAE\u0C95 \u0CAA\u0CC2\u0CB0\u0CCD\u0CA3\u0CBE\u0C82\u0C95 \u0C87\u0CB0\u0CAC\u0CC7\u0C95\u0CC1",ErroneousNestingEq:"\u0C8E\u0C95\u0CBC\u0CC1\u0C85\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0CB0\u0C9A\u0CA8\u0CC6\u0C97\u0CB3 \u0CA4\u0CC3\u0CA4\u0CBF\u0CB5\u0CBE\u0CA6 \u0CA8\u0CC6\u0CB8\u0CCD\u0CA4\u0CBF\u0C82\u0C97\u0CCD",MultlineRowsOneCol:"%1 \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CB5\u0CB0\u0CA3\u0CA6 \u0CB5\u0CB3\u0C97\u0CC6 \u0C87\u0CA6\u0CCD\u0CA6 \u0CB8\u0CBE\u0CB2\u0CC1\u0C97\u0CB3\u0CBF\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CC7 \u0CB8\u0CCD\u0CA4\u0C82\u0CAD \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",MultipleBBoxProperty:"%2 \u0C87\u0CA8 \u0CB5\u0CB3\u0C97\u0CC6 %1 \u0C8E\u0CB0\u0CA1\u0CC1 \u0CB8\u0CB2 \u0CB9\u0CC7\u0CB3\u0CBF \u0CB9\u0CCA\u0C97\u0CBF\u0CA6\u0CC6.",InvalidBBoxProperty:"'%1'  \u0C92\u0C82\u0CA6\u0CC1 \u0CAC\u0CA3\u0CCD\u0CA3, \u0C89\u0CAC\u0CCD\u0CAC\u0CBF\u0CB8\u0CB5 \u0C85\u0CB2\u0CBF\u0CA4\u0CC6, \u0C85\u0CA5\u0CB5\u0CBE \u0CB6\u0CC8\u0CB2\u0CBF \u0CB9\u0CBE\u0C97\u0CC6 \u0C95\u0CBE\u0CA8\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2.",ExtraEndMissingBegin:"\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 %1 \u0C85\u0CA5\u0CB5 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \\begingroup",GlobalNotFollowedBy:"%1 \u0C87\u0CA8 \u0CAE\u0CC1\u0C82\u0CA6\u0CC6  \\let, \\def, \\def, \u0C85\u0CA5\u0CB5  \\newcommand \u0CAC\u0CB0\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2.",UndefinedColorModel:"\u0CAC\u0CA3\u0CCD\u0CA3\u0CA6 \u0CAE\u0CBE\u0CA6\u0CB0\u0CBF '%1' \u0CB9\u0CC7\u0CB3\u0CBF \u0CB9\u0CCB\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2.",ModelArg1:"%1 \u0CAE\u0CBE\u0CA6\u0CB0\u0CBF\u0C97\u0CC6 \u0CAC\u0CA3\u0CCD\u0CA3\u0CA6 \u0CE9 (3) \u0C85\u0C82\u0C95\u0C97\u0CB3\u0CC1 \u0CAC\u0CC6\u0C95\u0C97\u0CC1\u0CA4\u0CA6\u0CC6.",InvalidDecimalNumber:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CA6\u0CB6\u0CAE\u0CB3\u0CA8\u0CCD\u0CB6",ModelArg2:"%1 \u0CAE\u0CBE\u0CA6\u0CB0\u0CBF\u0C97\u0CC6 \u0CAC\u0CA3\u0CCD\u0CA3\u0CA6 \u0C85\u0CA8\u0CCD\u0C96\u0C97\u0CB3\u0CC1  %2 \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1  %3 \u0C87\u0CA8 \u0CAE\u0CA7\u0CCD\u0CAF \u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",InvalidNumber:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0C85\u0C82\u0C95.",NewextarrowArg1:"%1 \u0C87\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CA8\u0CC7 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0CA8\u0CBF\u0CAF\u0C82\u0CA4\u0CCD\u0CB0\u0CA3 \u0C85\u0CA8\u0CC1\u0C95\u0CCD\u0CB0\u0CAE \u0C87\u0CB0 \u0CAC\u0CC6\u0C95\u0CC1.",NewextarrowArg2:"%1 \u0C87\u0C97\u0CC6 \u0C8E\u0CB0\u0CA1\u0CA8\u0CC7  \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0C95\u0CC6\u0CAE\u0CCD\u0CAE \u0CA6\u0CBF\u0C82\u0CA6 \u0CAC\u0CC7\u0CB0\u0CC6 \u0C86\u0CA6 \u0C8E\u0CB0\u0CA1\u0CC1 \u0CAA\u0CC2\u0CB0\u0CCD\u0CA3\u0CBE\u0C82\u0C95 \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",NewextarrowArg3:"%1 \u0C87\u0C97\u0CC6 \u0CAE\u0CC2\u0CB0\u0CA8\u0CC7 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0CAF\u0CC1\u0CA8\u0CBF\u0C95\u0CCB\u0CA1\u0CCD \u0CB8\u0CE6\u0C95\u0CC7\u0CA4 \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",NoClosingChar:"\u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CC1\u0CB5 %1 \u0CB8\u0CBF\u0C97\u0CC1\u0CA4 \u0C87\u0CB2\u0CCD\u0CB2.",IllegalControlSequenceName:"%1 \u0C87\u0C97\u0CC6 \u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CA8\u0CBF\u0CAF\u0C82\u0CA4\u0CCD\u0CB0\u0CA3  \u0C85\u0CA8\u0CC1\u0C95\u0CCD\u0CB0\u0CAE",IllegalParamNumber:"%1 \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CA8\u0CBF\u0CAF\u0CA4\u0CBE\u0C82\u0C95\u0C97\u0CB3  \u0C92\u0C82\u0CA6\u0CC1 \u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CB8\u0C82\u0C96\u0CCD\u0CAF\u0CBE  \u0CB9\u0CC7\u0CB3\u0CBF \u0CB9\u0CCB\u0C97\u0CBF\u0CA6\u0CCD\u0CA6\u0CC6",MissingCS:"%1 \u0C86\u0CA6\u0CAE\u0CC7\u0CB2\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0CA8\u0CBF\u0CAF\u0C82\u0CA4\u0CCD\u0CB0\u0CA3 \u0C95\u0CCD\u0CB0\u0CAE \u0CAC\u0CB0\u0CAC\u0CC7\u0C95\u0CC1",CantUseHash2:"%1 \u0C87\u0C97\u0CC6 \u0C9F\u0CC6\u0C82\u0CAA\u0CCD\u0CB2\u0CC6\u0C9F\u0CCD \u0C85\u0CB2\u0CCD\u0CB2\u0CBF  # \u0C87\u0CA8 \u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0C89\u0CAA\u0CAF\u0CCB\u0C97",SequentialParam:" %1 \u0C87\u0C97\u0CC6 \u0CA8\u0CBF\u0CAF\u0CA4\u0CBE\u0C82\u0C95 \u0C92\u0C82\u0CA6\u0CC1 \u0C95\u0CCD\u0CB0\u0CAE \u0CAA\u0CCD\u0CB0\u0C95\u0CBE\u0CB0 \u0CB8\u0C82\u0C96\u0CCD\u0CAF\u0CBE \u0CA4\u0CC6\u0C95\u0CCA\u0CB3\u0CC1\u0CAC\u0CC7\u0C95\u0CC1",MissingReplacementString:"%1 \u0C87\u0CA8 \u0CB5\u0CCD\u0CAF\u0CBE\u0C96\u0CCD\u0CAF\u0CBE\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0CAC\u0CA6\u0CB2\u0CBF \u0CB9\u0C97\u0CCD\u0C97",MismatchUseDef:"%1 \u0C87\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0C85\u0CA6\u0CB0 \u0CB5\u0CCD\u0CAF\u0CBE\u0C96\u0CCD\u0CAF\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1  \u0CB8\u0CB0\u0CBF\u0C9C\u0CC7\u0CA1\u0CBF \u0C86\u0C97\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2",RunawayArgument:"%1 \u0C87\u0C97\u0CC6 \u0C93\u0CA6\u0CC1 \u0CB9\u0CCB\u0C97\u0CC1\u0CB5 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 ?",NoClosingDelim:"%1 \u0C87\u0C97\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CB5 \u0CAC\u0CCD\u0CB0\u0CBE\u0C95\u0CC6\u0C9F\u0CCD \u0CB8\u0CBF\u0C97\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2."}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/TeX.js");
+MathJax.Localization.addTranslation("kn","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD \u0C85\u0CA5\u0CB5 \u0C95\u0CA1\u0CBF\u0CAE\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",ExtraCloseMissingOpen:"\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD \u0C85\u0CA5\u0CB5 \u0C95\u0CA1\u0CBF\u0CAE\u0CC6 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",MissingLeftExtraRight:"\u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \\left \u0C85\u0CA5\u0CB5 \u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \\right",MissingScript:"\u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0C89\u0C9A\u0CCD\u0C9A\u0CBE\u0C95\u0CCD\u0CB7\u0CB0 \u0C85\u0CA5\u0CB5 \u0CA8\u0CBF\u0CAE\u0CCD\u0CA8\u0CBE\u0C95\u0CCD\u0CB7\u0CB0",ExtraLeftMissingRight:"\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \\left \u0C85\u0CA5\u0CB5 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \\right",Misplaced:"\u0CA4\u0CAA\u0CCD\u0CAA \u0CB8\u0CCD\u0CA5\u0CB3\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0C9F\u0CCD\u0C9F\u0CBF\u0CA6\u0CCD\u0CA6\u0CC1  %1",MissingOpenForSub:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CA8\u0CBE\u0C95\u0CCD\u0CB7\u0CB0\u0C95\u0CCD\u0C95\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97",MissingOpenForSup:"\u0C89\u0C9A\u0CCD\u0C9A\u0CBE\u0C95\u0CCD\u0CB7\u0CB0\u0C95\u0CCD\u0C95\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97",AmbiguousUseOf:"%1 \u0C87\u0CA8 \u0C85\u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F \u0C89\u0CAA\u0CAF\u0CCB\u0C97",EnvBadEnd:"\\begin{%1} \u0C87\u0CA8 \u0C85\u0C82\u0CA4 \\end{%2} \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CAE\u0CBE\u0CA6\u0CBF\u0CB9\u0CCB\u0C97\u0CBF\u0CA6\u0CC6",EnvMissingEnd:"\u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \\end{%1}",MissingBoxFor:"%1 \u0C87\u0C97\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0CB8\u0C82\u0CA6\u0CC2\u0C95",MissingCloseBrace:"\u0C95\u0CA1\u0CBF\u0CAE\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",UndefinedControlSequence:"\u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F\u0CC0\u0C95\u0CB0\u0CBF\u0CB8\u0CA6 \u0CA8\u0CBF\u0CAF\u0C82\u0CA4\u0CCD\u0CB0\u0CA3 \u0C85\u0CA8\u0CC1\u0C95\u0CCD\u0CB0\u0CAE %1",DoubleExponent:"\u0C8E\u0CB0\u0CA1\u0CC1 \u0CB8\u0CCD\u0CA5\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0C89\u0C9A\u0CCD\u0C9A\u0CBE\u0C95\u0CCD\u0CB7\u0CB0; \u0CAC\u0CCD\u0CB0\u0CB8\u0CC6\u0CB8\u0CCD \u0C87\u0CA8 \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F \u0CAE\u0CBE\u0CA1\u0CC1",DoubleSubscripts:"\u0C8E\u0CB0\u0CA1\u0CC1 \u0CB8\u0CCD\u0CA5\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0CA8\u0CBF\u0CAE\u0CCD\u0CA8\u0CBE\u0C95\u0CCD\u0CB7\u0CB0; \u0CAC\u0CCD\u0CB0\u0CB8\u0CC6\u0CB8\u0CCD \u0C87\u0CA8 \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F \u0CAE\u0CBE\u0CA1\u0CC1",DoubleExponentPrime:"\u0CAA\u0CCD\u0CB0\u0CC8\u0CAE\u0CCD \u0C87\u0C82\u0CA6 \u0C86\u0C97\u0CBF \u0C8E\u0CB0\u0CA1\u0CC1 \u0CB8\u0CCD\u0CA4\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1 \u0C89\u0C9A\u0CCD\u0C9A\u0CBE\u0C95\u0CCD\u0CB7\u0CB0 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB9\u0CC1\u0CA4\u0CCD\u0CA4\u0CBF\u0CB8\u0CBF\u0CA4\u0CC1\u0CA6\u0CC6. \u0CAC\u0CCD\u0CB0\u0CB8\u0CC6\u0CB8\u0CCD \u0C92\u0C9F\u0CCD\u0C9F\u0CBF\u0C97\u0CC6 \u0CB8\u0CCD\u0CAA\u0CB7\u0CCD\u0C9F \u0CAE\u0CBE\u0CA6\u0CBF.",CantUseHash1:"'macro \u0CAA\u0CCD\u0CAF\u0CBE\u0CB0\u0CBE\u0CAE\u0CC0\u0C9F\u0CB0\u0CCD \u0C95\u0CCD\u0CAF\u0CBE\u0CB0\u0CC6\u0C95\u0CCD\u0C9F\u0CB0\u0CCD \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAE\u0CBE\u0CA4\u0CCD \u0CAE\u0CCB\u0CA1\u0CCD \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0CAE\u0CBE\u0CA1\u0CB2\u0CBF\u0C95\u0CCD\u0C95\u0CC6 \u0C86\u0C97\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2.",MisplacedMiddle:"%1 \\left \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1 \\right  \u0C87\u0CA8 \u0CAE\u0CA7\u0CCD\u0CAF\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CB0\u0CAC\u0CC7\u0C95\u0CC1",MisplacedLimits:"%1 \u0CAC\u0CB0\u0CBF \u0C86\u0CAA\u0CB0\u0CC7\u0C9F\u0CB0\u0CCD\u0CB8\u0CCD \u0C87\u0C97\u0CC6 \u0CAE\u0CBE\u0CA4\u0CCD\u0CB0 \u0CB9\u0CBE\u0C95\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",MisplacedMoveRoot:"%1 \u0CAC\u0CB0\u0CBF root \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CAE\u0CBE\u0CA4\u0CCD\u0CB0 \u0CAC\u0CB0 \u0CAC\u0CB9\u0CC1\u0CA6\u0CC1.",MultipleCommand:" \u0C85\u0CA8\u0CC7\u0C95  %1.",IntegerArg:"%1 \u0C87\u0C97\u0CC6 \u0CAC\u0C82\u0CA1 \u0C86\u0CB0\u0CCD\u0C97\u0CCD\u0CAF\u0CC1\u0CAE\u0CC6\u0C82\u0C9F\u0CCD \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CC1\u0CB0\u0CCD\u0CA8\u0CBE\u0CA8\u0CCD\u0C95\u0CB5\u0CC7 \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",NotMathMLToken:"%1 \u0C9F\u0CCB\u0C95\u0CA8\u0CCD \u0C8E\u0CB2\u0CBF\u0CAE\u0CC6\u0C82\u0C9F\u0CCD \u0C85\u0CB2\u0CCD\u0CB2.",InvalidMathMLAttr:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CAE\u0CBE\u0CA4 \u0C8E\u0C82 \u0C8E\u0CB2\u0CCD \u0C97\u0CC1\u0CA3 :    %1",UnknownAttrForElement:"%1 %2 \u0C87\u0C97\u0CC6 \u0CAE\u0CBE\u0CA8\u0CCD\u0CAF\u0CA4\u0CC6 \u0C97\u0CC1\u0CA3 \u0C85\u0CB2\u0CCD\u0CB2",MaxMacroSub1:"\u0CAE\u0CA5\u0CCD\u0C9C\u0C95\u0CCD\u0CB7\u0CCD  \u0C97\u0CB0\u0CBF\u0CB7\u0CCD\u0CA0 \u0CAE\u0CCD\u0CAF\u0CBE\u0C95\u0CCD\u0CB0\u0CCB \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CAF \u0CAE\u0CC0\u0CB0\u0CBF\u0CA6\u0CC6 \u0CAE\u0CCD\u0CAF\u0CBE\u0C97\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD; \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CC1\u0CA8\u0CB0\u0CBE\u0CB5\u0CB0\u0CCD\u0CA4\u0CBF\u0CA4 \u0CAE\u0CCD\u0CAF\u0CBE\u0C95\u0CCD\u0CB0\u0CCB \u0C95\u0CB0\u0CC6 \u0C87\u0CB2\u0CCD\u0CB2?",MaxMacroSub2:"\u0C97\u0CB0\u0CBF\u0CB7\u0CCD\u0CA0 \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CAF \u0CAE\u0CC0\u0CB0\u0CBF\u0CA6\u0CC6 \u0CAE\u0CCD\u0CAF\u0CBE\u0C97\u0CCD\u0CA8\u0CC6\u0C9F\u0CCD; \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CC1\u0CA8\u0CB0\u0CBE\u0CB5\u0CB0\u0CCD\u0CA4\u0CBF\u0CA4 \u0CB2\u0CCD\u0CAF\u0CBE\u0C9F\u0CC6\u0C95\u0CCD\u0CB8\u0CCD \u0CAA\u0CB0\u0CBF\u0CB8\u0CB0\u0C95\u0CCD\u0C95\u0CC6 \u0C87\u0CB2\u0CCD\u0CB2?",MissingArgFor:"%1 \u0C87\u0C97\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6",ExtraAlignTab:"\\cases \u0CAA\u0CA0\u0CCD\u0CAF\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0C85\u0CB2\u0CC8\u0CA8\u0CCD\u0CAE\u0CC6\u0C82\u0C9F\u0CCD \u0C9F\u0CCD\u0CAF\u0CBE\u0CAC\u0CCD.",BracketMustBeDimension:"%1 \u0C87\u0C97\u0CC6 \u0C87\u0CA6\u0CCD\u0CA6 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0C85\u0CB3\u0CA4\u0CC6\u0CB5\u0CC6 \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",InvalidEnv:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CB5\u0CB0\u0CA3 \u0CB9\u0CC6\u0CB8\u0CB0\u0CC1:  %1",UnknownEnv:"\u0C85\u0C9C\u0CCD\u0C9E\u0CBE\u0CA4 \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CB5\u0CB0\u0CA3 '%1'",ExtraCloseLooking:"%1 \u0CB9\u0CC1\u0CA1\u0CC1\u0C95\u0CC1\u0CB5\u0CBE\u0C97 \u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CBF\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",MissingCloseBracket:"%1 \u0C87\u0C97\u0CC6 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6\u0C97\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CC6\u0CA6\u0CC6 ']' \u0CB8\u0CBF\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2",MissingOrUnrecognizedDelim:"%1 \u0C87\u0C97\u0CC6 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0C85\u0CA5\u0CB5 \u0C85\u0CB0\u0CCD\u0CA5 \u0C86\u0C97\u0CA6 \u0C87\u0CA6\u0CCD\u0CA6 \u0CAC\u0CCD\u0CB0\u0C9A\u0CCD\u0C95\u0CC6\u0CA4\u0CCD.",MissingDimOrUnits:"%1 \u0C87\u0C97\u0CC6 \u0CB8\u0CBF\u0C97\u0CA6\u0CC7 \u0C87\u0CA6\u0CCD\u0CA6 \u0C85\u0CB2\u0CBF\u0CA4\u0CC6 \u0C85\u0CA5\u0CB5 \u0C85\u0CA6\u0CB0 \u0C98\u0C9F\u0C95\u0C97\u0CB3\u0CC1.",TokenNotFoundForCommand:"%1 \u0C87\u0C97\u0CC6 %2 \u0CB8\u0CBF\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2.",MathNotTerminated:"\u0C97\u0CA3\u0CBF\u0CA4\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAA\u0CA5\u0CCD\u0CAF \u0CB8\u0C82\u0CA6\u0CC2\u0C95 \u0CB5\u0CB3\u0C97\u0CC6 \u0CAE\u0CC1\u0C97\u0CBF\u0CB8\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2",IllegalMacroParam:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CAE\u0CCD\u0CAF\u0CBE\u0C95\u0CCD\u0CB0\u0CCB \u0CAA\u0CCD\u0CAF\u0CBE\u0CB0\u0CBE\u0CAE\u0CC0\u0C9F\u0CB0\u0CCD \u0C87\u0C97\u0CC6 \u0C89\u0CB2\u0CCD\u0CB2\u0CC7\u0C96",MaxBufferSize:"\u0CAE\u0CBE\u0CA4 \u0C9C\u0C95\u0CCD\u0CB7\u0CCD  \u0C86\u0C82\u0CA4\u0CB0\u0CBF\u0C95 \u0CAC\u0CAB\u0CB0\u0CCD \u0C97\u0CBE\u0CA4\u0CCD\u0CB0\u0CA6 \u0CAE\u0CC0\u0CB0\u0CBF\u0CA6\u0CC6; \u0C92\u0C82\u0CA6\u0CC1 \u0CAA\u0CC1\u0CA8\u0CB0\u0CBE\u0CB5\u0CB0\u0CCD\u0CA4\u0CBF\u0CA4 \u0CAE\u0CCD\u0CAF\u0CBE\u0C95\u0CCD\u0CB0\u0CCB \u0C95\u0CB0\u0CC6 \u0C87\u0CB2\u0CCD\u0CB2?",CommandNotAllowedInEnv:"%2 \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CB5\u0CB0\u0CA3\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF  %1 \u0C85\u0CB5\u0C95\u0CBE\u0CB6 \u0C85\u0CB2\u0CCD\u0CB2",MultipleLabel:"%1 \u0C85\u0CA8\u0CC7\u0C95 \u0CB8\u0CB2 \u0CB5\u0CCD\u0CAF\u0CBE\u0C96\u0CCD\u0CAF\u0CBE\u0CA8\u0CBF\u0CB8\u0CB2\u0CC1 \u0C86\u0C97\u0CBF\u0C95\u0CCA\u0C82\u0CA1\u0CC1 \u0C89\u0C82\u0C9F\u0CC1",CommandAtTheBeginingOfLine:"%1 \u0CAA\u0C82\u0C95\u0CCD\u0CA4\u0CBF\u0CA6 \u0CAE\u0CCA\u0CA6\u0CB2\u0CC1 \u0CAC\u0CB0\u0CAC\u0CC7\u0C95\u0CC1",IllegalAlign:"%1 \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CB8\u0CBE\u0CB2\u0CC1\u0C97\u0CC2\u0CA1\u0CBF\u0C95\u0CC6 \u0CB9\u0CC7\u0CB3\u0CBF \u0CB9\u0CCB\u0C97\u0CBF\u0CA6\u0CC6",BadMathStyleFor:"%1 \u0C87\u0C97\u0CC6 \u0C95\u0CC6\u0C9F\u0CCD\u0C9F \u0C97\u0CA3\u0CBF\u0CA4\u0CA6\u0CCD\u0CA6\u0CC1 \u0CB6\u0CC8\u0CB2\u0CBF \u0C89\u0C82\u0C9F\u0CC1",PositiveIntegerArg:"%1 \u0C87\u0C97\u0CC6 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0CA7\u0CA8\u0CBE\u0CA4\u0CCD\u0CAE\u0C95 \u0CAA\u0CC2\u0CB0\u0CCD\u0CA3\u0CBE\u0C82\u0C95 \u0C87\u0CB0\u0CAC\u0CC7\u0C95\u0CC1",ErroneousNestingEq:"\u0C8E\u0C95\u0CBC\u0CC1\u0C85\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0CB0\u0C9A\u0CA8\u0CC6\u0C97\u0CB3 \u0CA4\u0CC3\u0CA4\u0CBF\u0CB5\u0CBE\u0CA6 \u0CA8\u0CC6\u0CB8\u0CCD\u0CA4\u0CBF\u0C82\u0C97\u0CCD",MultlineRowsOneCol:"%1 \u0CAA\u0CB0\u0CCD\u0CAF\u0CBE\u0CB5\u0CB0\u0CA3\u0CA6 \u0CB5\u0CB3\u0C97\u0CC6 \u0C87\u0CA6\u0CCD\u0CA6 \u0CB8\u0CBE\u0CB2\u0CC1\u0C97\u0CB3\u0CBF\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CC7 \u0CB8\u0CCD\u0CA4\u0C82\u0CAD \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",MultipleBBoxProperty:"%2 \u0C87\u0CA8 \u0CB5\u0CB3\u0C97\u0CC6 %1 \u0C8E\u0CB0\u0CA1\u0CC1 \u0CB8\u0CB2 \u0CB9\u0CC7\u0CB3\u0CBF \u0CB9\u0CCA\u0C97\u0CBF\u0CA6\u0CC6.",InvalidBBoxProperty:"'%1'  \u0C92\u0C82\u0CA6\u0CC1 \u0CAC\u0CA3\u0CCD\u0CA3, \u0C89\u0CAC\u0CCD\u0CAC\u0CBF\u0CB8\u0CB5 \u0C85\u0CB2\u0CBF\u0CA4\u0CC6, \u0C85\u0CA5\u0CB5\u0CBE \u0CB6\u0CC8\u0CB2\u0CBF \u0CB9\u0CBE\u0C97\u0CC6 \u0C95\u0CBE\u0CA8\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2.",ExtraEndMissingBegin:"\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 %1 \u0C85\u0CA5\u0CB5 \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \\begingroup",GlobalNotFollowedBy:"%1 \u0C87\u0CA8 \u0CAE\u0CC1\u0C82\u0CA6\u0CC6  \\let, \\def, \\def, \u0C85\u0CA5\u0CB5  \\newcommand \u0CAC\u0CB0\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2.",UndefinedColorModel:"\u0CAC\u0CA3\u0CCD\u0CA3\u0CA6 \u0CAE\u0CBE\u0CA6\u0CB0\u0CBF '%1' \u0CB9\u0CC7\u0CB3\u0CBF \u0CB9\u0CCB\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2.",ModelArg1:"%1 \u0CAE\u0CBE\u0CA6\u0CB0\u0CBF\u0C97\u0CC6 \u0CAC\u0CA3\u0CCD\u0CA3\u0CA6 \u0CE9 (3) \u0C85\u0C82\u0C95\u0C97\u0CB3\u0CC1 \u0CAC\u0CC6\u0C95\u0C97\u0CC1\u0CA4\u0CA6\u0CC6.",InvalidDecimalNumber:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CA6\u0CB6\u0CAE\u0CB3\u0CA8\u0CCD\u0CB6",ModelArg2:"%1 \u0CAE\u0CBE\u0CA6\u0CB0\u0CBF\u0C97\u0CC6 \u0CAC\u0CA3\u0CCD\u0CA3\u0CA6 \u0C85\u0CA8\u0CCD\u0C96\u0C97\u0CB3\u0CC1  %2 \u0CAE\u0CA4\u0CCD\u0CA4\u0CC1  %3 \u0C87\u0CA8 \u0CAE\u0CA7\u0CCD\u0CAF \u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",InvalidNumber:"\u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0C85\u0C82\u0C95.",NewextarrowArg1:"%1 \u0C87\u0C97\u0CC6 \u0C92\u0C82\u0CA6\u0CA8\u0CC7 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0CA8\u0CBF\u0CAF\u0C82\u0CA4\u0CCD\u0CB0\u0CA3 \u0C85\u0CA8\u0CC1\u0C95\u0CCD\u0CB0\u0CAE \u0C87\u0CB0 \u0CAC\u0CC6\u0C95\u0CC1.",NewextarrowArg2:"%1 \u0C87\u0C97\u0CC6 \u0C8E\u0CB0\u0CA1\u0CA8\u0CC7  \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0C95\u0CC6\u0CAE\u0CCD\u0CAE \u0CA6\u0CBF\u0C82\u0CA6 \u0CAC\u0CC7\u0CB0\u0CC6 \u0C86\u0CA6 \u0C8E\u0CB0\u0CA1\u0CC1 \u0CAA\u0CC2\u0CB0\u0CCD\u0CA3\u0CBE\u0C82\u0C95 \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",NewextarrowArg3:"%1 \u0C87\u0C97\u0CC6 \u0CAE\u0CC2\u0CB0\u0CA8\u0CC7 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0CAF\u0CC1\u0CA8\u0CBF\u0C95\u0CCB\u0CA1\u0CCD \u0CB8\u0CE6\u0C95\u0CC7\u0CA4 \u0C87\u0CB0\u0CAC\u0CC6\u0C95\u0CC1.",NoClosingChar:"\u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CC1\u0CB5 %1 \u0CB8\u0CBF\u0C97\u0CC1\u0CA4 \u0C87\u0CB2\u0CCD\u0CB2.",IllegalControlSequenceName:"%1 \u0C87\u0C97\u0CC6 \u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CA8\u0CBF\u0CAF\u0C82\u0CA4\u0CCD\u0CB0\u0CA3  \u0C85\u0CA8\u0CC1\u0C95\u0CCD\u0CB0\u0CAE",IllegalParamNumber:"%1 \u0C85\u0CB2\u0CCD\u0CB2\u0CBF \u0CA8\u0CBF\u0CAF\u0CA4\u0CBE\u0C82\u0C95\u0C97\u0CB3  \u0C92\u0C82\u0CA6\u0CC1 \u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0CB8\u0C82\u0C96\u0CCD\u0CAF\u0CBE  \u0CB9\u0CC7\u0CB3\u0CBF \u0CB9\u0CCB\u0C97\u0CBF\u0CA6\u0CCD\u0CA6\u0CC6",MissingCS:"%1 \u0C86\u0CA6\u0CAE\u0CC7\u0CB2\u0CC6 \u0C92\u0C82\u0CA6\u0CC1 \u0CA8\u0CBF\u0CAF\u0C82\u0CA4\u0CCD\u0CB0\u0CA3 \u0C95\u0CCD\u0CB0\u0CAE \u0CAC\u0CB0\u0CAC\u0CC7\u0C95\u0CC1",CantUseHash2:"%1 \u0C87\u0C97\u0CC6 \u0C9F\u0CC6\u0C82\u0CAA\u0CCD\u0CB2\u0CC6\u0C9F\u0CCD \u0C85\u0CB2\u0CCD\u0CB2\u0CBF  # \u0C87\u0CA8 \u0C85\u0C95\u0CCD\u0CB0\u0CAE \u0C89\u0CAA\u0CAF\u0CCB\u0C97",SequentialParam:" %1 \u0C87\u0C97\u0CC6 \u0CA8\u0CBF\u0CAF\u0CA4\u0CBE\u0C82\u0C95 \u0C92\u0C82\u0CA6\u0CC1 \u0C95\u0CCD\u0CB0\u0CAE \u0CAA\u0CCD\u0CB0\u0C95\u0CBE\u0CB0 \u0CB8\u0C82\u0C96\u0CCD\u0CAF\u0CBE \u0CA4\u0CC6\u0C95\u0CCA\u0CB3\u0CC1\u0CAC\u0CC7\u0C95\u0CC1",MissingReplacementString:"%1 \u0C87\u0CA8 \u0CB5\u0CCD\u0CAF\u0CBE\u0C96\u0CCD\u0CAF\u0CBE\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C95\u0CBE\u0CA3\u0CC6\u0CAF\u0CBE\u0C97\u0CBF\u0CA6 \u0CAC\u0CA6\u0CB2\u0CBF \u0CB9\u0C97\u0CCD\u0C97",MismatchUseDef:"%1 \u0C87\u0CA8 \u0C89\u0CAA\u0CAF\u0CCB\u0C97 \u0C85\u0CA6\u0CB0 \u0CB5\u0CCD\u0CAF\u0CBE\u0C96\u0CCD\u0CAF\u0CB5\u0CA8\u0CCD\u0CA8\u0CC1  \u0CB8\u0CB0\u0CBF\u0C9C\u0CC7\u0CA1\u0CBF \u0C86\u0C97\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2",RunawayArgument:"%1 \u0C87\u0C97\u0CC6 \u0C93\u0CA6\u0CC1 \u0CB9\u0CCB\u0C97\u0CC1\u0CB5 \u0C9A\u0CB0\u0CCD\u0C9A\u0CC6 ?",NoClosingDelim:"%1 \u0C87\u0C97\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CB5 \u0CAC\u0CCD\u0CB0\u0CBE\u0C95\u0CC6\u0C9F\u0CCD \u0CB8\u0CBF\u0C97\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2."}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/TeX.js");
diff --git a/localization/kn/kn.js b/localization/kn/kn.js
index dc9e96b198..94bc672413 100644
--- a/localization/kn/kn.js
+++ b/localization/kn/kn.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/kn/kn.js
+ *  /MathJax-v2/localization/kn/kn.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("kn",null,{menuTitle:"\u0C95\u0CA8\u0CCD\u0CA8\u0CA1",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:'\u0CAE\u0CA5\u0CCD\u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C87\u0C97\u0CC6  \u0C92\u0C82\u0CA6\u0CC1 \u0CB8\u0CA6\u0CB8\u0CCD\u0CAF \u0C9A\u0CCA\u0CA8\u0CCD\u0CAB\u0CBC\u0CBF\u0C97\u0CC1\u0CB0\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0C95\u0CC1\u0C95\u0CC0 \u0CB8\u0CBF\u0C95\u0CCD\u0C95\u0CBF\u0CA6\u0CC6. \u0C85\u0CA6\u0CCD\u0CA6\u0CA8\u0CCD\u0CA8 \u0CB0\u0CA8\u0CCD \u0CAE\u0CBE\u0CA1\u0CAC\u0CC7\u0C95?   \n\n(\u0CA8\u0CC0\u0CB5\u0CC7 \u0C85\u0CA6\u0CA8\u0CCD\u0CA8 \u0CB8\u0CC6\u0C9F\u0CCD \u0C85\u0CAA\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF\u0CA6\u0CC1 \u0C85\u0CB2\u0CCD\u0CB2 \u0C86\u0CA6\u0CB0\u0CC6 "Cancel" \u0C85\u0CA5\u0CB5\u0CBE "\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1" \u0CB5\u0CA4\u0CCD\u0CA4\u0CBF.)',MathProcessingError:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0C95\u0CCD\u0CB0\u0CBF\u0CAF\u0CC6\u0CAF\u0CB2\u0CCD\u0CB2\u0CBF \u0CA6\u0CCB\u0CB7",MathError:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CA6\u0CCB\u0CB7",LoadFile:"%1 \u0CB2\u0CCB\u0CA1\u0CCD \u0C86\u0C97\u0CC1\u0CA4\u0CCD\u0CA4\u0CBF\u0CA6\u0CC6",Loading:"\u0CB2\u0CCB\u0CA1\u0CCD \u0C86\u0C97\u0CC1\u0CA4\u0CCD\u0CA4\u0CBF\u0CA6\u0CC6",LoadFailed:"%1 \u0CAB\u0CC8\u0CB2\u0CCD \u0CB2\u0CCB\u0CA1\u0CCD \u0C86\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2",ProcessMath:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0C95\u0CCD\u0CB0\u0CBF\u0CAF\u0CC6 \u0C86\u0C97\u0CC1\u0CA4\u0CCD\u0CA4\u0CBF\u0CA6\u0CC6: %1%%",Processing:"\u0CAA\u0CCD\u0CB0\u0C95\u0CCD\u0CB0\u0CBF\u0CAF\u0CC6 \u0C86\u0C97\u0CC1\u0CA4\u0CCD\u0CA4\u0CBF\u0CA6\u0CC6",TypesetMath:"\u0C97\u0CA3\u0CBF\u0CA4 \u0C9F\u0CC8\u0CAA\u0CCD\u200D\u0CB8\u0CC6\u0C9F\u0CCD\u0C9F\u0CBF\u0C82\u0C97\u0CCD: %1%%",Typesetting:"\u0C9F\u0CC8\u0CAA\u0CCD\u200D\u0CB8\u0CC6\u0C9F\u0CCD\u0C9F\u0CBF\u0C82\u0C97\u0CCD",MathJaxNotSupported:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD MathJax\u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAC\u0CC6\u0C82\u0CAC\u0CB2\u0CBF\u0CB8\u0CC1\u0CB5\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/kn.js");
+MathJax.Localization.addTranslation("kn",null,{menuTitle:"\u0C95\u0CA8\u0CCD\u0CA8\u0CA1",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:'\u0CAE\u0CA5\u0CCD\u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C87\u0C97\u0CC6  \u0C92\u0C82\u0CA6\u0CC1 \u0CB8\u0CA6\u0CB8\u0CCD\u0CAF \u0C9A\u0CCA\u0CA8\u0CCD\u0CAB\u0CBC\u0CBF\u0C97\u0CC1\u0CB0\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0C95\u0CC1\u0C95\u0CC0 \u0CB8\u0CBF\u0C95\u0CCD\u0C95\u0CBF\u0CA6\u0CC6. \u0C85\u0CA6\u0CCD\u0CA6\u0CA8\u0CCD\u0CA8 \u0CB0\u0CA8\u0CCD \u0CAE\u0CBE\u0CA1\u0CAC\u0CC7\u0C95?   \n\n(\u0CA8\u0CC0\u0CB5\u0CC7 \u0C85\u0CA6\u0CA8\u0CCD\u0CA8 \u0CB8\u0CC6\u0C9F\u0CCD \u0C85\u0CAA\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF\u0CA6\u0CC1 \u0C85\u0CB2\u0CCD\u0CB2 \u0C86\u0CA6\u0CB0\u0CC6 "Cancel" \u0C85\u0CA5\u0CB5\u0CBE "\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1" \u0CB5\u0CA4\u0CCD\u0CA4\u0CBF.)',MathProcessingError:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0C95\u0CCD\u0CB0\u0CBF\u0CAF\u0CC6\u0CAF\u0CB2\u0CCD\u0CB2\u0CBF \u0CA6\u0CCB\u0CB7",MathError:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CA6\u0CCB\u0CB7",LoadFile:"%1 \u0CB2\u0CCB\u0CA1\u0CCD \u0C86\u0C97\u0CC1\u0CA4\u0CCD\u0CA4\u0CBF\u0CA6\u0CC6",Loading:"\u0CB2\u0CCB\u0CA1\u0CCD \u0C86\u0C97\u0CC1\u0CA4\u0CCD\u0CA4\u0CBF\u0CA6\u0CC6",LoadFailed:"%1 \u0CAB\u0CC8\u0CB2\u0CCD \u0CB2\u0CCB\u0CA1\u0CCD \u0C86\u0C97\u0CB2\u0CBF\u0CB2\u0CCD\u0CB2",ProcessMath:"\u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0C95\u0CCD\u0CB0\u0CBF\u0CAF\u0CC6 \u0C86\u0C97\u0CC1\u0CA4\u0CCD\u0CA4\u0CBF\u0CA6\u0CC6: %1%%",Processing:"\u0CAA\u0CCD\u0CB0\u0C95\u0CCD\u0CB0\u0CBF\u0CAF\u0CC6 \u0C86\u0C97\u0CC1\u0CA4\u0CCD\u0CA4\u0CBF\u0CA6\u0CC6",TypesetMath:"\u0C97\u0CA3\u0CBF\u0CA4 \u0C9F\u0CC8\u0CAA\u0CCD\u200D\u0CB8\u0CC6\u0C9F\u0CCD\u0C9F\u0CBF\u0C82\u0C97\u0CCD: %1%%",Typesetting:"\u0C9F\u0CC8\u0CAA\u0CCD\u200D\u0CB8\u0CC6\u0C9F\u0CCD\u0C9F\u0CBF\u0C82\u0C97\u0CCD",MathJaxNotSupported:"\u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0CAC\u0CCD\u0CB0\u0CCC\u0CB8\u0CB0\u0CCD MathJax\u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CAC\u0CC6\u0C82\u0CAC\u0CB2\u0CBF\u0CB8\u0CC1\u0CB5\u0CC1\u0CA6\u0CBF\u0CB2\u0CCD\u0CB2"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/kn/kn.js");
diff --git a/localization/ko/FontWarnings.js b/localization/ko/FontWarnings.js
index 7e7a6c2a2f..c476b3dfe9 100644
--- a/localization/ko/FontWarnings.js
+++ b/localization/ko/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ko/FontWarnings.js
+ *  /MathJax-v2/localization/ko/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax\uB294 \uBB38\uC11C\uC758 \uC218\uC2DD\uC744 \uD45C\uD604\uD558\uAE30 \uC704\uD574 \uC6F9 \uAE30\uBC18 \uD3F0\uD2B8\uB97C \uC0AC\uC6A9\uD569\uB2C8\uB2E4. \uB2E4\uC6B4\uB85C\uB4DC\uD558\uB294\uB370 \uC2DC\uAC04\uC774 \uAC78\uB9AC\uC9C0\uB9CC, \uC2DC\uC2A4\uD15C \uD3F0\uD2B8 \uD3F4\uB354\uC5D0 \uC218\uC2DD \uD3F0\uD2B8\uAC00 \uC124\uCE58\uB418\uC5B4 \uC788\uB2E4\uBA74 \uBB38\uC11C\uAC00 \uB354 \uBE68\uB9AC \uD45C\uC2DC\uB420 \uAC83\uC785\uB2C8\uB2E4.",imageFonts:"MathJax\uB294 \uB85C\uCEEC \uB610\uB294 \uC6F9 \uAE30\uBC18 \uAE00\uAF34\uC774 \uC544\uB2CC, \uADF8\uB9BC \uAE00\uAF34\uC744 \uC0AC\uC6A9\uD569\uB2C8\uB2E4. \uD3C9\uC18C\uBCF4\uB2E4 \uB290\uB9AC\uAC8C \uD45C\uD604\uB420 \uC218 \uC788\uC73C\uBA70 \uC218\uD559 \uAE30\uD638\uAC00 \uD504\uB9B0\uD130\uC758 \uCD5C\uB300 \uD574\uC0C1\uB3C4\uB85C \uC778\uC1C4\uB418\uC9C0 \uBABB\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",webFonts:"\uD604\uB300\uC758 \uB300\uBD80\uBD84\uC758 \uBE0C\uB77C\uC6B0\uC800\uB4E4\uC740 \uC6F9\uC744 \uD1B5\uD574 \uD3F0\uD2B8\uB97C \uB2E4\uC6B4\uB85C\uB4DC\uD558\uB294 \uAC83\uC774 \uAC00\uB2A5\uD569\uB2C8\uB2E4. \uCD5C\uC2E0 \uBC84\uC804\uC758 \uBE0C\uB77C\uC6B0\uC800\uB85C \uC5C5\uB370\uC774\uD2B8(\uB610\uB294 \uBE0C\uB77C\uC6B0\uC800 \uBCC0\uACBD)\uD558\uBA74 \uC774 \uBB38\uC11C\uC758 \uC218\uC2DD\uC758 \uD488\uC9C8\uC744 \uAC1C\uC120\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",noFonts:"MathJax\uB294 \uC218\uC2DD\uC744 \uD45C\uC2DC\uD558\uB294 \uB370 \uC0AC\uC6A9\uB418\uB294 \uAE00\uAF34\uC744 \uC704\uCE58\uC2DC\uD0AC \uC218 \uC5C6\uACE0 \uADF8\uB9BC \uAE00\uAF34\uC744 \uC0AC\uC6A9\uD560 \uC218 \uC5C6\uAE30 \uB54C\uBB38\uC5D0 \uBE0C\uB77C\uC6B0\uC800\uAC00 \uD45C\uC2DC\uD560 \uC218 \uC788\uC744 \uAC83\uC774\uB77C \uAE30\uB300\uD558\uBA74\uC11C \uC77C\uBC18 \uC720\uB2C8\uCF54\uB4DC \uBB38\uC790\uB85C \uB300\uC2E0 \uBCF4\uC5EC\uC8FC\uACE0 \uC788\uC2B5\uB2C8\uB2E4. \uC77C\uBD80 \uBB38\uC790\uAC00 \uC62C\uBC14\uB974\uAC8C \uBCF4\uC774\uC9C0 \uC54A\uC744 \uC218 \uC788\uC73C\uBA70 \uC544\uC608 \uBCF4\uC774\uC9C0 \uC54A\uC744 \uC218\uB3C4 \uC788\uC2B5\uB2C8\uB2E4.",fonts:"MathJax\uB294 [STIX \uAE00\uAF34](%1)\uC774\uB098 [MathJax TeX \uAE00\uAF34](%2) \uC911 \uD558\uB098\uB97C \uC0AC\uC6A9\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4. \uC774 \uAE00\uAF34\uB4E4 \uAC00\uC6B4\uB370 \uD558\uB098\uB97C \uB2E4\uC6B4\uB85C\uB4DC\uD558\uACE0 \uC124\uCE58\uD558\uBA74 \uB2F9\uC2E0\uC758 MathJax \uACBD\uD5D8\uC744 \uAC1C\uC120\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",STIXPage:"\uC774 \uBB38\uC11C\uB294 [STIX \uAE00\uAF34](%1)\uC744 \uC0AC\uC6A9\uD558\uB3C4\uB85D \uC124\uACC4\uB418\uC5B4 \uC788\uC2B5\uB2C8\uB2E4. \uD574\uB2F9 \uAE00\uAF34\uC744 \uB2E4\uC6B4\uB85C\uB4DC\uD558\uC5EC \uC124\uCE58\uD558\uBA74 \uB2F9\uC2E0\uC758 MathJax \uACBD\uD5D8\uC744 \uAC1C\uC120\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",TeXPage:"\uC774 \uBB38\uC11C\uB294 [MathJax TeX \uAE00\uAF34](%1)\uC744 \uC0AC\uC6A9\uD558\uB3C4\uB85D \uC124\uACC4\uB418\uC5B4 \uC788\uC2B5\uB2C8\uB2E4. \uD574\uB2F9 \uAE00\uAF34\uC744 \uB2E4\uC6B4\uB85C\uB4DC\uD558\uC5EC \uC124\uCE58\uD558\uBA74 \uB2F9\uC2E0\uC758 MathJax \uACBD\uD5D8\uC744 \uAC1C\uC120\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/FontWarnings.js");
+MathJax.Localization.addTranslation("ko","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax\uB294 \uBB38\uC11C\uC758 \uC218\uC2DD\uC744 \uD45C\uD604\uD558\uAE30 \uC704\uD574 \uC6F9 \uAE30\uBC18 \uD3F0\uD2B8\uB97C \uC0AC\uC6A9\uD569\uB2C8\uB2E4. \uB2E4\uC6B4\uB85C\uB4DC\uD558\uB294\uB370 \uC2DC\uAC04\uC774 \uAC78\uB9AC\uC9C0\uB9CC, \uC2DC\uC2A4\uD15C \uD3F0\uD2B8 \uD3F4\uB354\uC5D0 \uC218\uC2DD \uD3F0\uD2B8\uAC00 \uC124\uCE58\uB418\uC5B4 \uC788\uB2E4\uBA74 \uBB38\uC11C\uAC00 \uB354 \uBE68\uB9AC \uD45C\uC2DC\uB420 \uAC83\uC785\uB2C8\uB2E4.",imageFonts:"MathJax\uB294 \uB85C\uCEEC \uB610\uB294 \uC6F9 \uAE30\uBC18 \uAE00\uAF34\uC774 \uC544\uB2CC, \uADF8\uB9BC \uAE00\uAF34\uC744 \uC0AC\uC6A9\uD569\uB2C8\uB2E4. \uD3C9\uC18C\uBCF4\uB2E4 \uB290\uB9AC\uAC8C \uD45C\uD604\uB420 \uC218 \uC788\uC73C\uBA70 \uC218\uD559 \uAE30\uD638\uAC00 \uD504\uB9B0\uD130\uC758 \uCD5C\uB300 \uD574\uC0C1\uB3C4\uB85C \uC778\uC1C4\uB418\uC9C0 \uBABB\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",webFonts:"\uD604\uB300\uC758 \uB300\uBD80\uBD84\uC758 \uBE0C\uB77C\uC6B0\uC800\uB4E4\uC740 \uC6F9\uC744 \uD1B5\uD574 \uD3F0\uD2B8\uB97C \uB2E4\uC6B4\uB85C\uB4DC\uD558\uB294 \uAC83\uC774 \uAC00\uB2A5\uD569\uB2C8\uB2E4. \uCD5C\uC2E0 \uBC84\uC804\uC758 \uBE0C\uB77C\uC6B0\uC800\uB85C \uC5C5\uB370\uC774\uD2B8(\uB610\uB294 \uBE0C\uB77C\uC6B0\uC800 \uBCC0\uACBD)\uD558\uBA74 \uC774 \uBB38\uC11C\uC758 \uC218\uC2DD\uC758 \uD488\uC9C8\uC744 \uAC1C\uC120\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",noFonts:"MathJax\uB294 \uC218\uC2DD\uC744 \uD45C\uC2DC\uD558\uB294 \uB370 \uC0AC\uC6A9\uB418\uB294 \uAE00\uAF34\uC744 \uC704\uCE58\uC2DC\uD0AC \uC218 \uC5C6\uACE0 \uADF8\uB9BC \uAE00\uAF34\uC744 \uC0AC\uC6A9\uD560 \uC218 \uC5C6\uAE30 \uB54C\uBB38\uC5D0 \uBE0C\uB77C\uC6B0\uC800\uAC00 \uD45C\uC2DC\uD560 \uC218 \uC788\uC744 \uAC83\uC774\uB77C \uAE30\uB300\uD558\uBA74\uC11C \uC77C\uBC18 \uC720\uB2C8\uCF54\uB4DC \uBB38\uC790\uB85C \uB300\uC2E0 \uBCF4\uC5EC\uC8FC\uACE0 \uC788\uC2B5\uB2C8\uB2E4. \uC77C\uBD80 \uBB38\uC790\uAC00 \uC62C\uBC14\uB974\uAC8C \uBCF4\uC774\uC9C0 \uC54A\uC744 \uC218 \uC788\uC73C\uBA70 \uC544\uC608 \uBCF4\uC774\uC9C0 \uC54A\uC744 \uC218\uB3C4 \uC788\uC2B5\uB2C8\uB2E4.",fonts:"MathJax\uB294 [STIX \uAE00\uAF34](%1)\uC774\uB098 [MathJax TeX \uAE00\uAF34](%2) \uC911 \uD558\uB098\uB97C \uC0AC\uC6A9\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4. \uC774 \uAE00\uAF34\uB4E4 \uAC00\uC6B4\uB370 \uD558\uB098\uB97C \uB2E4\uC6B4\uB85C\uB4DC\uD558\uACE0 \uC124\uCE58\uD558\uBA74 \uB2F9\uC2E0\uC758 MathJax \uACBD\uD5D8\uC744 \uAC1C\uC120\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",STIXPage:"\uC774 \uBB38\uC11C\uB294 [STIX \uAE00\uAF34](%1)\uC744 \uC0AC\uC6A9\uD558\uB3C4\uB85D \uC124\uACC4\uB418\uC5B4 \uC788\uC2B5\uB2C8\uB2E4. \uD574\uB2F9 \uAE00\uAF34\uC744 \uB2E4\uC6B4\uB85C\uB4DC\uD558\uC5EC \uC124\uCE58\uD558\uBA74 \uB2F9\uC2E0\uC758 MathJax \uACBD\uD5D8\uC744 \uAC1C\uC120\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",TeXPage:"\uC774 \uBB38\uC11C\uB294 [MathJax TeX \uAE00\uAF34](%1)\uC744 \uC0AC\uC6A9\uD558\uB3C4\uB85D \uC124\uACC4\uB418\uC5B4 \uC788\uC2B5\uB2C8\uB2E4. \uD574\uB2F9 \uAE00\uAF34\uC744 \uB2E4\uC6B4\uB85C\uB4DC\uD558\uC5EC \uC124\uCE58\uD558\uBA74 \uB2F9\uC2E0\uC758 MathJax \uACBD\uD5D8\uC744 \uAC1C\uC120\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/FontWarnings.js");
diff --git a/localization/ko/HTML-CSS.js b/localization/ko/HTML-CSS.js
index abb0a96bb8..dd6138209c 100644
--- a/localization/ko/HTML-CSS.js
+++ b/localization/ko/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ko/HTML-CSS.js
+ *  /MathJax-v2/localization/ko/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"%1 \uC6F9\uD3F0\uD2B8\uB97C \uBD88\uB7EC\uC624\uACE0 \uC788\uC2B5\uB2C8\uB2E4...",CantLoadWebFont:"%1 \uC6F9\uD3F0\uD2B8\uB97C \uBD88\uB7EC\uC62C \uC218 \uC5C6\uC2B5\uB2C8\uB2E4",FirefoxCantLoadWebFont:"\uD30C\uC774\uC5B4\uD3ED\uC2A4\uB294 \uC6D0\uACA9 \uD638\uC2A4\uD2B8\uB85C\uBD80\uD130 \uC6F9 \uD3F0\uD2B8\uB97C \uBD88\uB7EC\uC62C \uC218 \uC5C6\uC2B5\uB2C8\uB2E4.",CantFindFontUsing:"%1\uB97C \uC0AC\uC6A9\uD55C \uC720\uD6A8\uD55C \uD3F0\uD2B8\uB97C \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4.",WebFontsNotAvailable:"\uC6F9 \uD3F0\uD2B8 \uC0AC\uC6A9\uC774 \uBD88\uAC00\uD569\uB2C8\uB2E4. \uC774\uBBF8\uC9C0 \uD3F0\uD2B8\uB97C \uB300\uC2E0 \uC0AC\uC6A9\uD569\uB2C8\uB2E4."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/HTML-CSS.js");
+MathJax.Localization.addTranslation("ko","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"%1 \uC6F9\uD3F0\uD2B8\uB97C \uBD88\uB7EC\uC624\uACE0 \uC788\uC2B5\uB2C8\uB2E4...",CantLoadWebFont:"%1 \uC6F9\uD3F0\uD2B8\uB97C \uBD88\uB7EC\uC62C \uC218 \uC5C6\uC2B5\uB2C8\uB2E4",FirefoxCantLoadWebFont:"\uD30C\uC774\uC5B4\uD3ED\uC2A4\uB294 \uC6D0\uACA9 \uD638\uC2A4\uD2B8\uB85C\uBD80\uD130 \uC6F9 \uD3F0\uD2B8\uB97C \uBD88\uB7EC\uC62C \uC218 \uC5C6\uC2B5\uB2C8\uB2E4.",CantFindFontUsing:"%1\uB97C \uC0AC\uC6A9\uD55C \uC720\uD6A8\uD55C \uD3F0\uD2B8\uB97C \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4.",WebFontsNotAvailable:"\uC6F9 \uD3F0\uD2B8 \uC0AC\uC6A9\uC774 \uBD88\uAC00\uD569\uB2C8\uB2E4. \uC774\uBBF8\uC9C0 \uD3F0\uD2B8\uB97C \uB300\uC2E0 \uC0AC\uC6A9\uD569\uB2C8\uB2E4."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/HTML-CSS.js");
diff --git a/localization/ko/HelpDialog.js b/localization/ko/HelpDialog.js
index 1a42b85e2d..2923accf5c 100644
--- a/localization/ko/HelpDialog.js
+++ b/localization/ko/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ko/HelpDialog.js
+ *  /MathJax-v2/localization/ko/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax \uB3C4\uC6C0\uB9D0",Browsers:"*\uBE0C\uB77C\uC6B0\uC800*: MathJax\uB294 IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+\uB97C \uD3EC\uD568\uD558\uB294 \uBAA8\uB4E0 \uCD5C\uC2E0 \uBE0C\uB77C\uC6B0\uC800\uC640 \uB300\uBD80\uBD84\uC758 \uBAA8\uBC14\uC77C \uBE0C\uB77C\uC6B0\uC800\uC5D0\uC11C \uC791\uB3D9\uD569\uB2C8\uB2E4.",Menu:"*\uC218\uC2DD \uBA54\uB274*: MathJax\uB294 \uBC29\uC815\uC2DD\uC5D0 \uCEE8\uD14D\uC2A4\uD2B8 \uBA54\uB274\uB97C \uB367\uBD99\uC785\uB2C8\uB2E4. \uBA54\uB274\uC5D0 \uC811\uADFC\uD558\uB824\uBA74 \uC544\uBB34 \uC218\uC2DD\uC744 \uC67C\uCABD \uD074\uB9AD\uD558\uAC70\uB098 \uC624\uB978\uCABD \uD074\uB9AD\uD558\uC138\uC694.",Zoom:"*\uC218\uC2DD \uD655\uB300*: \uBC29\uC815\uC2DD\uC744 \uC77D\uB294 \uB370 \uC5B4\uB824\uC6C0\uC774 \uC788\uB2E4\uBA74, MathJax\uC5D0\uC11C \uBC29\uC815\uC2DD\uC744 \uB354 \uC798 \uBCFC \uC218 \uC788\uB3C4\uB85D \uC2DD\uC744 \uD06C\uAC8C \uB9CC\uB4E4 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",MathJax:"*MathJax*\uB294 \uBB38\uC11C \uC791\uC131\uC790\uAC00 \uC6F9 \uD398\uC774\uC9C0\uC5D0 \uC218\uD559\uC744 \uD3EC\uD568\uD560 \uC218 \uC788\uB3C4\uB85D \uD574\uC8FC\uB294 JavaScript \uB77C\uC774\uBE0C\uB7EC\uB9AC\uC785\uB2C8\uB2E4. \uBB38\uC11C\uB97C \uC77D\uAE30 \uC704\uD574 \uB3C5\uC790\uAC00 \uB530\uB85C \uD574\uC57C \uD558\uB294 \uAC83\uC740 \uC5C6\uC2B5\uB2C8\uB2E4.",Language:"*Language* \uBA54\uB274\uC5D0\uC11C MathJax\uAC00 \uBA54\uB274\uC640 \uACBD\uACE0 \uBA54\uC2DC\uC9C0\uB85C\uC368 \uC0AC\uC6A9\uD558\uB294 \uC5B8\uC5B4\uB97C \uC120\uD0DD\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",CloseDialog:"\uB3C4\uC6C0\uB9D0 \uB300\uD654 \uC0C1\uC790 \uB2EB\uAE30"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/HelpDialog.js");
+MathJax.Localization.addTranslation("ko","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"MathJax \uB3C4\uC6C0\uB9D0",Browsers:"*\uBE0C\uB77C\uC6B0\uC800*: MathJax\uB294 IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+\uB97C \uD3EC\uD568\uD558\uB294 \uBAA8\uB4E0 \uCD5C\uC2E0 \uBE0C\uB77C\uC6B0\uC800\uC640 \uB300\uBD80\uBD84\uC758 \uBAA8\uBC14\uC77C \uBE0C\uB77C\uC6B0\uC800\uC5D0\uC11C \uC791\uB3D9\uD569\uB2C8\uB2E4.",Menu:"*\uC218\uC2DD \uBA54\uB274*: MathJax\uB294 \uBC29\uC815\uC2DD\uC5D0 \uCEE8\uD14D\uC2A4\uD2B8 \uBA54\uB274\uB97C \uB367\uBD99\uC785\uB2C8\uB2E4. \uBA54\uB274\uC5D0 \uC811\uADFC\uD558\uB824\uBA74 \uC544\uBB34 \uC218\uC2DD\uC744 \uC67C\uCABD \uD074\uB9AD\uD558\uAC70\uB098 \uC624\uB978\uCABD \uD074\uB9AD\uD558\uC138\uC694.",Zoom:"*\uC218\uC2DD \uD655\uB300*: \uBC29\uC815\uC2DD\uC744 \uC77D\uB294 \uB370 \uC5B4\uB824\uC6C0\uC774 \uC788\uB2E4\uBA74, MathJax\uC5D0\uC11C \uBC29\uC815\uC2DD\uC744 \uB354 \uC798 \uBCFC \uC218 \uC788\uB3C4\uB85D \uC2DD\uC744 \uD06C\uAC8C \uB9CC\uB4E4 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",MathJax:"*MathJax*\uB294 \uBB38\uC11C \uC791\uC131\uC790\uAC00 \uC6F9 \uD398\uC774\uC9C0\uC5D0 \uC218\uD559\uC744 \uD3EC\uD568\uD560 \uC218 \uC788\uB3C4\uB85D \uD574\uC8FC\uB294 JavaScript \uB77C\uC774\uBE0C\uB7EC\uB9AC\uC785\uB2C8\uB2E4. \uBB38\uC11C\uB97C \uC77D\uAE30 \uC704\uD574 \uB3C5\uC790\uAC00 \uB530\uB85C \uD574\uC57C \uD558\uB294 \uAC83\uC740 \uC5C6\uC2B5\uB2C8\uB2E4.",Language:"*Language* \uBA54\uB274\uC5D0\uC11C MathJax\uAC00 \uBA54\uB274\uC640 \uACBD\uACE0 \uBA54\uC2DC\uC9C0\uB85C\uC368 \uC0AC\uC6A9\uD558\uB294 \uC5B8\uC5B4\uB97C \uC120\uD0DD\uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",CloseDialog:"\uB3C4\uC6C0\uB9D0 \uB300\uD654 \uC0C1\uC790 \uB2EB\uAE30"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/HelpDialog.js");
diff --git a/localization/ko/MathML.js b/localization/ko/MathML.js
index b8bbd8f94c..d9f85a11c1 100644
--- a/localization/ko/MathML.js
+++ b/localization/ko/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ko/MathML.js
+ *  /MathJax-v2/localization/ko/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/MathML.js");
+MathJax.Localization.addTranslation("ko","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/MathML.js");
diff --git a/localization/ko/MathMenu.js b/localization/ko/MathMenu.js
index 0c62740e67..fbcd214bcd 100644
--- a/localization/ko/MathMenu.js
+++ b/localization/ko/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ko/MathMenu.js
+ *  /MathJax-v2/localization/ko/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\uC218\uC2DD \uBCF4\uAE30",MathMLcode:"MathML \uCF54\uB4DC",OriginalMathML:"\uC6D0\uB798 MathML",TeXCommands:"TeX \uBA85\uB839",AsciiMathInput:"AsciiMathML \uC785\uB825",Original:"\uC6D0\uB798 \uC591\uC2DD",ErrorMessage:"\uC624\uB958 \uBA54\uC2DC\uC9C0",Annotation:"\uC8FC\uC11D",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"MathML\uC5D0 TeX \uD78C\uD2B8 \uBCF4\uC774\uAE30",Settings:"\uC218\uC2DD \uC124\uC815",ZoomTrigger:"\uD2B8\uB9AC\uAC70 \uD655\uB300",Hover:"\uAC00\uB9AC\uD0A4\uAE30",Click:"\uD074\uB9AD",DoubleClick:"\uB354\uBE14 \uD074\uB9AD",NoZoom:"\uD655\uB300 \uC5C6\uC74C",TriggerRequires:"\uD544\uC694\uD55C \uD2B8\uB9AC\uAC70:",Option:"\uC120\uD0DD \uC0AC\uD56D",Alt:"Alt",Command:"\uCEE4\uB9E8\uB4DC",Control:"\uCEE8\uD2B8\uB864",Shift:"\uC2DC\uD504\uD2B8",ZoomFactor:"\uD655\uB300 \uBC30\uC728",Renderer:"\uC218\uC2DD \uB80C\uB354\uB7EC",MPHandles:"MathPlayer\uC5D0 \uCC98\uB9AC\uD560 \uC774\uBCA4\uD2B8:",MenuEvents:"\uBA54\uB274 \uC774\uBCA4\uD2B8",MouseEvents:"\uB9C8\uC6B0\uC2A4 \uC774\uBCA4\uD2B8",MenuAndMouse:"\uB9C8\uC6B0\uC2A4\uC640 \uBA54\uB274 \uC774\uBCA4\uD2B8",FontPrefs:"\uAE00\uAF34 \uD658\uACBD \uC124\uC815",ForHTMLCSS:"HTML-CSS:",Auto:"\uC790\uB3D9",TeXLocal:"TeX (\uB85C\uCEEC)",TeXWeb:"TeX (\uC6F9)",TeXImage:"TeX (\uADF8\uB9BC)",STIXLocal:"STIX (\uB85C\uCEEC)",ContextMenu:"\uCEE8\uD14D\uC2A4\uD2B8 \uBA54\uB274",Browser:"\uD0D0\uC0C9\uAE30",Scale:"\uBAA8\uB4E0 \uC218\uC2DD \uBC30\uC728 ...",Discoverable:"\uAC00\uB9AC\uD0A4\uBA74 \uAC15\uC870",Locale:"\uC5B8\uC5B4",LoadLocale:"URL\uC5D0\uC11C \uC5F4\uAE30 ...",About:"MathJax \uC815\uBCF4",Help:"MathJax \uB3C4\uC6C0\uB9D0",localTeXfonts:"\uB85C\uCEEC TeX \uAE00\uAF34 \uC0AC\uC6A9",webTeXfonts:"\uC6F9 TeX \uAE00\uAF34 \uC0AC\uC6A9",imagefonts:"\uADF8\uB9BC \uAE00\uAF34 \uC0AC\uC6A9",localSTIXfonts:"\uB85C\uCEEC STIX \uAE00\uAF34 \uC0AC\uC6A9",webSVGfonts:"\uC6F9 SVG \uAE00\uAF34 \uC0AC\uC6A9",genericfonts:"\uC77C\uBC18 \uC720\uB2C8\uCF54\uB4DC \uAE00\uAF34 \uC0AC\uC6A9",wofforotffonts:"woff \uB610\uB294 otf \uAE00\uAF34",eotffonts:"eot \uAE00\uAF34",svgfonts:"svg \uAE00\uAF34",WebkitNativeMMLWarning:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uAC00 \uAE30\uBCF8\uC801\uC73C\uB85C MathML\uC744 \uC9C0\uC6D0\uD558\uC9C0 \uC54A\uB294 \uAC83 \uAC19\uAE30 \uB54C\uBB38\uC5D0 MathML \uCD9C\uB825\uC73C\uB85C \uC804\uD658\uD558\uBA74 \uBB38\uC11C\uC5D0 \uC788\uB294 \uC218\uC2DD\uC744 \uC77D\uC744 \uC218 \uC5C6\uAC8C \uB420 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",MSIENativeMMLWarning:"Internet Explorer\uB294 MathML \uCD9C\uB825\uC744 \uCC98\uB9AC\uD558\uAE30 \uC704\uD574 MathPlayer \uD50C\uB7EC\uADF8\uC778\uC774 \uD544\uC694\uD569\uB2C8\uB2E4.",OperaNativeMMLWarning:"\uC624\uD398\uB77C\uC758 MathML \uC9C0\uC6D0\uC740 \uC81C\uD55C\uC801\uC774\uBBC0\uB85C MathML \uCD9C\uB825\uC73C\uB85C \uC804\uD658\uD558\uBA74 \uC77C\uBD80 \uD45C\uD604\uC774 \uBD88\uC644\uC804\uD558\uAC8C \uB80C\uB354\uB420 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",SafariNativeMMLWarning:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uC758 \uAE30\uBCF8 MathML\uC740 MathJax\uC5D0\uC11C \uC0AC\uC6A9\uD558\uB294 \uBAA8\uB4E0 \uAE30\uB2A5\uC744 \uAD6C\uD604\uD558\uC9C0 \uC54A\uAE30 \uB54C\uBB38\uC5D0 \uC77C\uBD80 \uD45C\uD604\uC774 \uC81C\uB300\uB85C \uB80C\uB354\uB418\uC9C0 \uC54A\uC744 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",FirefoxNativeMMLWarning:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uC758 \uAE30\uBCF8 MathML\uC740 MathJax\uC5D0\uC11C \uC0AC\uC6A9\uD558\uB294 \uBAA8\uB4E0 \uAE30\uB2A5\uC744 \uAD6C\uD604\uD558\uC9C0 \uC54A\uAE30 \uB54C\uBB38\uC5D0 \uC77C\uBD80 \uD45C\uD604\uC774 \uC81C\uB300\uB85C \uB80C\uB354\uB418\uC9C0 \uC54A\uC744 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",LoadURL:"\uC774 URL\uC5D0\uC11C \uBC88\uC5ED \uB370\uC774\uD130 \uC5F4\uAE30:",BadData:"%1\uC5D0\uC11C \uBC88\uC5ED \uB370\uC774\uD130\uB97C \uC5F4 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4",NonZeroScale:"\uBC30\uC728\uC740 0\uC774 \uC544\uB2C8\uC5B4\uC57C \uD569\uB2C8\uB2E4",PercentScale:"\uBC30\uC728\uC740 \uBC31\uBD84\uC728\uC774\uC5B4\uC57C \uD569\uB2C8\uB2E4 (\uC608, 120%%)",IE9warning:"MathJax \uCEE8\uD14D\uC2A4\uD2B8 \uBA54\uB274\uAC00 \uBE44\uD65C\uC131\uD654\uB418\uC9C0\uB9CC, \uB300\uC2E0 MathJax \uBA54\uB274\uB97C \uC5BB\uC73C\uB824\uBA74 Alt-\uD074\uB9AD\uC744 \uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",NoOriginalForm:"\uC6D0\uB798 \uC591\uC2DD\uC744 \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4",Close:"\uB2EB\uAE30",EqSource:"MathJax \uC218\uC2DD \uC790\uB8CC",MSIESVGWarning:"SVG\uB294 Internet Explorer 9 \uC774\uD558\uB098 IE8 \uC774\uD558\uB97C \uC5D0\uBBAC\uB808\uC774\uD2B8\uB97C \uD560 \uB54C \uAD6C\uD604\uB418\uC9C0 \uC54A\uC2B5\uB2C8\uB2E4. SVG \uCD9C\uB825\uC73C\uB85C \uC804\uD658\uD558\uB294 \uAC83\uC740 \uC218\uC2DD\uC774 \uC798 \uD45C\uC2DC\uB418\uC9C0 \uC54A\uAC8C \uB9CC\uB4E4 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",STIXWeb:"STIX (\uC6F9)",AsanaMathWeb:"Asana Math (\uC6F9)",GyrePagellaWeb:"Gyre Pagella (\uC6F9)",GyreTermesWeb:"Gyre Termes (\uC6F9)",LatinModernWeb:"Latin Modern (\uC6F9)",NeoEulerWeb:"Neo Euler (\uC6F9)",SwitchAnyway:"\uC5B4\uCA0C\uB4E0 \uB80C\uB354\uB7EC\uB97C \uC804\uD658\uD558\uC2DC\uACA0\uC2B5\uB2C8\uAE4C?\n\n(\uC804\uD658\uD558\uB824\uBA74 \uD655\uC778\uC744, \uD604\uC7AC \uB80C\uB354\uB7EC\uB85C \uACC4\uC18D\uD558\uB824\uBA74 \uCDE8\uC18C\uB97C \uB204\uB974\uC138\uC694)",CloseAboutDialog:"MathJax \uC815\uBCF4 \uB300\uD654 \uC0C1\uC790 \uB2EB\uAE30",FastPreview:"\uACE0\uC18D \uBBF8\uB9AC \uBCF4\uAE30"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/MathMenu.js");
+MathJax.Localization.addTranslation("ko","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\uC218\uC2DD \uBCF4\uAE30",MathMLcode:"MathML \uCF54\uB4DC",OriginalMathML:"\uC6D0\uB798 MathML",TeXCommands:"TeX \uBA85\uB839",AsciiMathInput:"AsciiMathML \uC785\uB825",Original:"\uC6D0\uB798 \uC591\uC2DD",ErrorMessage:"\uC624\uB958 \uBA54\uC2DC\uC9C0",Annotation:"\uC8FC\uC11D",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"MathML\uC5D0 TeX \uD78C\uD2B8 \uBCF4\uC774\uAE30",Settings:"\uC218\uC2DD \uC124\uC815",ZoomTrigger:"\uD2B8\uB9AC\uAC70 \uD655\uB300",Hover:"\uAC00\uB9AC\uD0A4\uAE30",Click:"\uD074\uB9AD",DoubleClick:"\uB354\uBE14 \uD074\uB9AD",NoZoom:"\uD655\uB300 \uC5C6\uC74C",TriggerRequires:"\uD544\uC694\uD55C \uD2B8\uB9AC\uAC70:",Option:"\uC120\uD0DD \uC0AC\uD56D",Alt:"Alt",Command:"\uCEE4\uB9E8\uB4DC",Control:"\uCEE8\uD2B8\uB864",Shift:"\uC2DC\uD504\uD2B8",ZoomFactor:"\uD655\uB300 \uBC30\uC728",Renderer:"\uC218\uC2DD \uB80C\uB354\uB7EC",MPHandles:"MathPlayer\uC5D0 \uCC98\uB9AC\uD560 \uC774\uBCA4\uD2B8:",MenuEvents:"\uBA54\uB274 \uC774\uBCA4\uD2B8",MouseEvents:"\uB9C8\uC6B0\uC2A4 \uC774\uBCA4\uD2B8",MenuAndMouse:"\uB9C8\uC6B0\uC2A4\uC640 \uBA54\uB274 \uC774\uBCA4\uD2B8",FontPrefs:"\uAE00\uAF34 \uD658\uACBD \uC124\uC815",ForHTMLCSS:"HTML-CSS:",Auto:"\uC790\uB3D9",TeXLocal:"TeX (\uB85C\uCEEC)",TeXWeb:"TeX (\uC6F9)",TeXImage:"TeX (\uADF8\uB9BC)",STIXLocal:"STIX (\uB85C\uCEEC)",ContextMenu:"\uCEE8\uD14D\uC2A4\uD2B8 \uBA54\uB274",Browser:"\uD0D0\uC0C9\uAE30",Scale:"\uBAA8\uB4E0 \uC218\uC2DD \uBC30\uC728 ...",Discoverable:"\uAC00\uB9AC\uD0A4\uBA74 \uAC15\uC870",Locale:"\uC5B8\uC5B4",LoadLocale:"URL\uC5D0\uC11C \uC5F4\uAE30 ...",About:"MathJax \uC815\uBCF4",Help:"MathJax \uB3C4\uC6C0\uB9D0",localTeXfonts:"\uB85C\uCEEC TeX \uAE00\uAF34 \uC0AC\uC6A9",webTeXfonts:"\uC6F9 TeX \uAE00\uAF34 \uC0AC\uC6A9",imagefonts:"\uADF8\uB9BC \uAE00\uAF34 \uC0AC\uC6A9",localSTIXfonts:"\uB85C\uCEEC STIX \uAE00\uAF34 \uC0AC\uC6A9",webSVGfonts:"\uC6F9 SVG \uAE00\uAF34 \uC0AC\uC6A9",genericfonts:"\uC77C\uBC18 \uC720\uB2C8\uCF54\uB4DC \uAE00\uAF34 \uC0AC\uC6A9",wofforotffonts:"woff \uB610\uB294 otf \uAE00\uAF34",eotffonts:"eot \uAE00\uAF34",svgfonts:"svg \uAE00\uAF34",WebkitNativeMMLWarning:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uAC00 \uAE30\uBCF8\uC801\uC73C\uB85C MathML\uC744 \uC9C0\uC6D0\uD558\uC9C0 \uC54A\uB294 \uAC83 \uAC19\uAE30 \uB54C\uBB38\uC5D0 MathML \uCD9C\uB825\uC73C\uB85C \uC804\uD658\uD558\uBA74 \uBB38\uC11C\uC5D0 \uC788\uB294 \uC218\uC2DD\uC744 \uC77D\uC744 \uC218 \uC5C6\uAC8C \uB420 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",MSIENativeMMLWarning:"Internet Explorer\uB294 MathML \uCD9C\uB825\uC744 \uCC98\uB9AC\uD558\uAE30 \uC704\uD574 MathPlayer \uD50C\uB7EC\uADF8\uC778\uC774 \uD544\uC694\uD569\uB2C8\uB2E4.",OperaNativeMMLWarning:"\uC624\uD398\uB77C\uC758 MathML \uC9C0\uC6D0\uC740 \uC81C\uD55C\uC801\uC774\uBBC0\uB85C MathML \uCD9C\uB825\uC73C\uB85C \uC804\uD658\uD558\uBA74 \uC77C\uBD80 \uD45C\uD604\uC774 \uBD88\uC644\uC804\uD558\uAC8C \uB80C\uB354\uB420 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",SafariNativeMMLWarning:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uC758 \uAE30\uBCF8 MathML\uC740 MathJax\uC5D0\uC11C \uC0AC\uC6A9\uD558\uB294 \uBAA8\uB4E0 \uAE30\uB2A5\uC744 \uAD6C\uD604\uD558\uC9C0 \uC54A\uAE30 \uB54C\uBB38\uC5D0 \uC77C\uBD80 \uD45C\uD604\uC774 \uC81C\uB300\uB85C \uB80C\uB354\uB418\uC9C0 \uC54A\uC744 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",FirefoxNativeMMLWarning:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uC758 \uAE30\uBCF8 MathML\uC740 MathJax\uC5D0\uC11C \uC0AC\uC6A9\uD558\uB294 \uBAA8\uB4E0 \uAE30\uB2A5\uC744 \uAD6C\uD604\uD558\uC9C0 \uC54A\uAE30 \uB54C\uBB38\uC5D0 \uC77C\uBD80 \uD45C\uD604\uC774 \uC81C\uB300\uB85C \uB80C\uB354\uB418\uC9C0 \uC54A\uC744 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",LoadURL:"\uC774 URL\uC5D0\uC11C \uBC88\uC5ED \uB370\uC774\uD130 \uC5F4\uAE30:",BadData:"%1\uC5D0\uC11C \uBC88\uC5ED \uB370\uC774\uD130\uB97C \uC5F4 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4",NonZeroScale:"\uBC30\uC728\uC740 0\uC774 \uC544\uB2C8\uC5B4\uC57C \uD569\uB2C8\uB2E4",PercentScale:"\uBC30\uC728\uC740 \uBC31\uBD84\uC728\uC774\uC5B4\uC57C \uD569\uB2C8\uB2E4 (\uC608, 120%%)",IE9warning:"MathJax \uCEE8\uD14D\uC2A4\uD2B8 \uBA54\uB274\uAC00 \uBE44\uD65C\uC131\uD654\uB418\uC9C0\uB9CC, \uB300\uC2E0 MathJax \uBA54\uB274\uB97C \uC5BB\uC73C\uB824\uBA74 Alt-\uD074\uB9AD\uC744 \uD560 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",NoOriginalForm:"\uC6D0\uB798 \uC591\uC2DD\uC744 \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4",Close:"\uB2EB\uAE30",EqSource:"MathJax \uC218\uC2DD \uC790\uB8CC",MSIESVGWarning:"SVG\uB294 Internet Explorer 9 \uC774\uD558\uB098 IE8 \uC774\uD558\uB97C \uC5D0\uBBAC\uB808\uC774\uD2B8\uB97C \uD560 \uB54C \uAD6C\uD604\uB418\uC9C0 \uC54A\uC2B5\uB2C8\uB2E4. SVG \uCD9C\uB825\uC73C\uB85C \uC804\uD658\uD558\uB294 \uAC83\uC740 \uC218\uC2DD\uC774 \uC798 \uD45C\uC2DC\uB418\uC9C0 \uC54A\uAC8C \uB9CC\uB4E4 \uC218 \uC788\uC2B5\uB2C8\uB2E4.",STIXWeb:"STIX (\uC6F9)",AsanaMathWeb:"Asana Math (\uC6F9)",GyrePagellaWeb:"Gyre Pagella (\uC6F9)",GyreTermesWeb:"Gyre Termes (\uC6F9)",LatinModernWeb:"Latin Modern (\uC6F9)",NeoEulerWeb:"Neo Euler (\uC6F9)",SwitchAnyway:"\uC5B4\uCA0C\uB4E0 \uB80C\uB354\uB7EC\uB97C \uC804\uD658\uD558\uC2DC\uACA0\uC2B5\uB2C8\uAE4C?\n\n(\uC804\uD658\uD558\uB824\uBA74 \uD655\uC778\uC744, \uD604\uC7AC \uB80C\uB354\uB7EC\uB85C \uACC4\uC18D\uD558\uB824\uBA74 \uCDE8\uC18C\uB97C \uB204\uB974\uC138\uC694)",CloseAboutDialog:"MathJax \uC815\uBCF4 \uB300\uD654 \uC0C1\uC790 \uB2EB\uAE30",FastPreview:"\uACE0\uC18D \uBBF8\uB9AC \uBCF4\uAE30"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/MathMenu.js");
diff --git a/localization/ko/TeX.js b/localization/ko/TeX.js
index 271f5b67ff..1107aa560e 100644
--- a/localization/ko/TeX.js
+++ b/localization/ko/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ko/TeX.js
+ *  /MathJax-v2/localization/ko/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\uB2EB\uD788\uC9C0 \uC54A\uC740 \uC5EC\uB294 \uAD04\uD638\uAC00 \uC788\uC2B5\uB2C8\uB2E4.",ExtraCloseMissingOpen:"\uB2EB\uB294 \uAD04\uD638\uAC00 \uCD94\uAC00\uB85C \uB0A8\uC544\uC788\uC2B5\uB2C8\uB2E4.",MissingLeftExtraRight:"\\left\uAC00 \uC5C6\uAC70\uB098 \\right\uAC00 \uCD94\uAC00\uB85C \uC788\uC2B5\uB2C8\uB2E4",ExtraLeftMissingRight:"\\left\uAC00 \uCD94\uAC00\uB85C \uC788\uAC70\uB098 \\right\uAC00 \uC5C6\uC2B5\uB2C8\uB2E4",Misplaced:"%1\uC758 \uC704\uCE58\uAC00 \uC798\uBABB\uB418\uC5C8\uC2B5\uB2C8\uB2E4",MissingOpenForSub:"\uC544\uB798 \uCCA8\uC790\uC758 \uC5EC\uB294 \uAD04\uD638\uAC00 \uC5C6\uC2B5\uB2C8\uB2E4",MissingOpenForSup:"\uC704 \uCCA8\uC790\uC758 \uC5EC\uB294 \uAD04\uD638\uAC00 \uC5C6\uC2B5\uB2C8\uB2E4",EnvBadEnd:"\\begin{%1}\uC774 \\end{%2}(\uC73C)\uB85C \uB05D\uB0A9\uB2C8\uB2E4",EnvMissingEnd:"\\end{%1}\uC774 \uBE60\uC84C\uC2B5\uB2C8\uB2E4",MissingBoxFor:"%1 \uBC15\uC2A4\uB97C \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4.",MissingCloseBrace:"\uB2EB\uB294 \uAD04\uD638\uAC00 \uC5C6\uC2B5\uB2C8\uB2E4",DoubleExponent:"\uC774\uC911 \uC9C0\uC218: \uBA85\uD655\uC131\uC744 \uC704\uD574 \uAD04\uD638\uB97C \uC0AC\uC6A9\uD558\uC138\uC694",DoubleSubscripts:"\uC774\uC911 \uC544\uB798 \uCCA8\uC790: \uBA85\uD655\uC131\uC744 \uC704\uD574 \uAD04\uD638\uB97C \uC0AC\uC6A9\uD558\uC138\uC694",MisplacedMiddle:"%1\uC740 \\left\uC640 \\right \uC0AC\uC774\uC5D0 \uC788\uC5B4\uC57C \uD569\uB2C8\uB2E4",MisplacedLimits:"%1\uC740 \uC5F0\uC0B0\uC790\uB9CC \uD5C8\uC6A9\uB429\uB2C8\uB2E4.",MisplacedMoveRoot:"%1\uC740 \uB8E8\uD2B8 \uC548\uC5D0\uC11C\uB9CC \uB098\uD0C0\uB0A9\uB2C8\uB2E4.",MultipleCommand:"%1\uC774 \uC911\uBCF5\uB418\uC5C8\uC2B5\uB2C8\uB2E4",IntegerArg:"%1\uC5D0 \uB300\uD55C \uC778\uC790\uB294 \uC815\uC218\uC5EC\uC57C \uD569\uB2C8\uB2E4.",MissingArgFor:"%1 \uC778\uC790\uB97C \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4.",InvalidEnv:"\uC62C\uBC14\uB974\uC9C0 \uC54A\uC740 \uD658\uACBD \uC774\uB984 '%1'",UnknownEnv:"\uC54C \uC218 \uC5C6\uB294 \uD658\uACBD '%1'",ExtraCloseLooking:"%1\uC744 \uCC3E\uB294 \uB3C4\uC911\uC5D0 \uC5EC\uBD84\uC758 \uB2EB\uB294 \uC911\uAD04\uD638\uAC00 \uBC1C\uACAC\uB418\uC5C8\uC2B5\uB2C8\uB2E4.",MissingCloseBracket:"%1\uC758 \uC778\uC790\uC5D0 \uB300\uD574 \uB2EB\uB294 ']' \uAE30\uD638\uB97C \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4.",CommandNotAllowedInEnv:"%1\uC740 %2 \uD658\uACBD\uC5D0\uC11C \uD5C8\uC6A9\uB418\uC9C0 \uC54A\uC2B5\uB2C8\uB2E4",MultipleLabel:"'%1' label\uC774 \uC911\uBCF5\uC73C\uB85C \uC815\uC758\uB418\uC5C8\uC2B5\uB2C8\uB2E4.",CommandAtTheBeginingOfLine:"%1\uC740 \uC904\uC758 \uCC98\uC74C\uC5D0 \uC640\uC57C \uD569\uB2C8\uB2E4.",IllegalAlign:"%1\uC5D0 \uC9C0\uC815\uB41C \uC778\uC218\uB294 \uC798\uBABB\uB418\uC5C8\uC2B5\uB2C8\uB2E4",UndefinedColorModel:"'%1' \uC0C9\uC0C1 \uBAA8\uB378\uC774 \uC815\uC758\uB418\uC9C0 \uC54A\uC558\uC2B5\uB2C8\uB2E4.",ModelArg1:"%1 \uBAA8\uB378\uC5D0 \uB300\uD55C \uC0C9\uC0C1 \uAC12\uC740 3\uAC1C\uC758 \uC218\uAC00 \uD544\uC694\uD569\uB2C8\uB2E4.",InvalidDecimalNumber:"\uC62C\uBC14\uB974\uC9C0 \uC54A\uC740 \uC2ED\uC9C4\uC218",InvalidNumber:"\uC798\uBABB\uB41C \uC22B\uC790\uC785\uB2C8\uB2E4",NoClosingChar:"\uB2EB\uB294 \uAD04\uD638 %1\uB97C \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4",IllegalControlSequenceName:"%1\uC5D0 \uB300\uD55C \uC81C\uC5B4 \uC2DC\uD000\uC2A4 \uC774\uB984\uC774 \uC798\uBABB\uB418\uC5C8\uC2B5\uB2C8\uB2E4",IllegalParamNumber:"%1\uC5D0 \uC9C0\uC815\uB41C \uBCC0\uC218 \uC218\uAC00 \uC798\uBABB\uB418\uC5C8\uC2B5\uB2C8\uB2E4",CantUseHash2:"%1\uC5D0 \uB300\uD55C \uD15C\uD50C\uB9BF\uC5D0 #\uC758 \uC0AC\uC6A9\uC774 \uC798\uBABB\uB418\uC5C8\uC2B5\uB2C8\uB2E4",UndefinedControlSequence:"\uC815\uC758\uB418\uC9C0 \uC54A\uC740 \uCEE8\uD2B8\uB864 \uC2DC\uD000\uC2A4 %1",MathNotTerminated:"\uD14D\uC2A4\uD2B8 \uC0C1\uC790\uC5D0\uC11C \uC218\uC2DD\uC774 \uC644\uC131\uB418\uC9C0 \uC54A\uC558\uC2B5\uB2C8\uB2E4",MissingCS:"%1 \uC55E\uC5D0 \uCEE8\uD2B8\uB864 \uC2DC\uD000\uC2A4\uAC00 \uC640\uC57C \uD569\uB2C8\uB2E4",MismatchUseDef:"%1\uC758 \uC0AC\uC6A9\uC774 \uADF8\uAC83\uC758 \uC815\uC758\uC640 \uC77C\uCE58\uD558\uC9C0 \uC54A\uC2B5\uB2C8\uB2E4"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/TeX.js");
+MathJax.Localization.addTranslation("ko","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\uB2EB\uD788\uC9C0 \uC54A\uC740 \uC5EC\uB294 \uAD04\uD638\uAC00 \uC788\uC2B5\uB2C8\uB2E4.",ExtraCloseMissingOpen:"\uB2EB\uB294 \uAD04\uD638\uAC00 \uCD94\uAC00\uB85C \uB0A8\uC544\uC788\uC2B5\uB2C8\uB2E4.",MissingLeftExtraRight:"\\left\uAC00 \uC5C6\uAC70\uB098 \\right\uAC00 \uCD94\uAC00\uB85C \uC788\uC2B5\uB2C8\uB2E4",ExtraLeftMissingRight:"\\left\uAC00 \uCD94\uAC00\uB85C \uC788\uAC70\uB098 \\right\uAC00 \uC5C6\uC2B5\uB2C8\uB2E4",Misplaced:"%1\uC758 \uC704\uCE58\uAC00 \uC798\uBABB\uB418\uC5C8\uC2B5\uB2C8\uB2E4",MissingOpenForSub:"\uC544\uB798 \uCCA8\uC790\uC758 \uC5EC\uB294 \uAD04\uD638\uAC00 \uC5C6\uC2B5\uB2C8\uB2E4",MissingOpenForSup:"\uC704 \uCCA8\uC790\uC758 \uC5EC\uB294 \uAD04\uD638\uAC00 \uC5C6\uC2B5\uB2C8\uB2E4",EnvBadEnd:"\\begin{%1}\uC774 \\end{%2}(\uC73C)\uB85C \uB05D\uB0A9\uB2C8\uB2E4",EnvMissingEnd:"\\end{%1}\uC774 \uBE60\uC84C\uC2B5\uB2C8\uB2E4",MissingBoxFor:"%1 \uBC15\uC2A4\uB97C \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4.",MissingCloseBrace:"\uB2EB\uB294 \uAD04\uD638\uAC00 \uC5C6\uC2B5\uB2C8\uB2E4",DoubleExponent:"\uC774\uC911 \uC9C0\uC218: \uBA85\uD655\uC131\uC744 \uC704\uD574 \uAD04\uD638\uB97C \uC0AC\uC6A9\uD558\uC138\uC694",DoubleSubscripts:"\uC774\uC911 \uC544\uB798 \uCCA8\uC790: \uBA85\uD655\uC131\uC744 \uC704\uD574 \uAD04\uD638\uB97C \uC0AC\uC6A9\uD558\uC138\uC694",MisplacedMiddle:"%1\uC740 \\left\uC640 \\right \uC0AC\uC774\uC5D0 \uC788\uC5B4\uC57C \uD569\uB2C8\uB2E4",MisplacedLimits:"%1\uC740 \uC5F0\uC0B0\uC790\uB9CC \uD5C8\uC6A9\uB429\uB2C8\uB2E4.",MisplacedMoveRoot:"%1\uC740 \uB8E8\uD2B8 \uC548\uC5D0\uC11C\uB9CC \uB098\uD0C0\uB0A9\uB2C8\uB2E4.",MultipleCommand:"%1\uC774 \uC911\uBCF5\uB418\uC5C8\uC2B5\uB2C8\uB2E4",IntegerArg:"%1\uC5D0 \uB300\uD55C \uC778\uC790\uB294 \uC815\uC218\uC5EC\uC57C \uD569\uB2C8\uB2E4.",MissingArgFor:"%1 \uC778\uC790\uB97C \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4.",InvalidEnv:"\uC62C\uBC14\uB974\uC9C0 \uC54A\uC740 \uD658\uACBD \uC774\uB984 '%1'",UnknownEnv:"\uC54C \uC218 \uC5C6\uB294 \uD658\uACBD '%1'",ExtraCloseLooking:"%1\uC744 \uCC3E\uB294 \uB3C4\uC911\uC5D0 \uC5EC\uBD84\uC758 \uB2EB\uB294 \uC911\uAD04\uD638\uAC00 \uBC1C\uACAC\uB418\uC5C8\uC2B5\uB2C8\uB2E4.",MissingCloseBracket:"%1\uC758 \uC778\uC790\uC5D0 \uB300\uD574 \uB2EB\uB294 ']' \uAE30\uD638\uB97C \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4.",CommandNotAllowedInEnv:"%1\uC740 %2 \uD658\uACBD\uC5D0\uC11C \uD5C8\uC6A9\uB418\uC9C0 \uC54A\uC2B5\uB2C8\uB2E4",MultipleLabel:"'%1' label\uC774 \uC911\uBCF5\uC73C\uB85C \uC815\uC758\uB418\uC5C8\uC2B5\uB2C8\uB2E4.",CommandAtTheBeginingOfLine:"%1\uC740 \uC904\uC758 \uCC98\uC74C\uC5D0 \uC640\uC57C \uD569\uB2C8\uB2E4.",IllegalAlign:"%1\uC5D0 \uC9C0\uC815\uB41C \uC778\uC218\uB294 \uC798\uBABB\uB418\uC5C8\uC2B5\uB2C8\uB2E4",UndefinedColorModel:"'%1' \uC0C9\uC0C1 \uBAA8\uB378\uC774 \uC815\uC758\uB418\uC9C0 \uC54A\uC558\uC2B5\uB2C8\uB2E4.",ModelArg1:"%1 \uBAA8\uB378\uC5D0 \uB300\uD55C \uC0C9\uC0C1 \uAC12\uC740 3\uAC1C\uC758 \uC218\uAC00 \uD544\uC694\uD569\uB2C8\uB2E4.",InvalidDecimalNumber:"\uC62C\uBC14\uB974\uC9C0 \uC54A\uC740 \uC2ED\uC9C4\uC218",InvalidNumber:"\uC798\uBABB\uB41C \uC22B\uC790\uC785\uB2C8\uB2E4",NoClosingChar:"\uB2EB\uB294 \uAD04\uD638 %1\uB97C \uCC3E\uC744 \uC218 \uC5C6\uC2B5\uB2C8\uB2E4",IllegalControlSequenceName:"%1\uC5D0 \uB300\uD55C \uC81C\uC5B4 \uC2DC\uD000\uC2A4 \uC774\uB984\uC774 \uC798\uBABB\uB418\uC5C8\uC2B5\uB2C8\uB2E4",IllegalParamNumber:"%1\uC5D0 \uC9C0\uC815\uB41C \uBCC0\uC218 \uC218\uAC00 \uC798\uBABB\uB418\uC5C8\uC2B5\uB2C8\uB2E4",CantUseHash2:"%1\uC5D0 \uB300\uD55C \uD15C\uD50C\uB9BF\uC5D0 #\uC758 \uC0AC\uC6A9\uC774 \uC798\uBABB\uB418\uC5C8\uC2B5\uB2C8\uB2E4",UndefinedControlSequence:"\uC815\uC758\uB418\uC9C0 \uC54A\uC740 \uCEE8\uD2B8\uB864 \uC2DC\uD000\uC2A4 %1",MathNotTerminated:"\uD14D\uC2A4\uD2B8 \uC0C1\uC790\uC5D0\uC11C \uC218\uC2DD\uC774 \uC644\uC131\uB418\uC9C0 \uC54A\uC558\uC2B5\uB2C8\uB2E4",MissingCS:"%1 \uC55E\uC5D0 \uCEE8\uD2B8\uB864 \uC2DC\uD000\uC2A4\uAC00 \uC640\uC57C \uD569\uB2C8\uB2E4",MismatchUseDef:"%1\uC758 \uC0AC\uC6A9\uC774 \uADF8\uAC83\uC758 \uC815\uC758\uC640 \uC77C\uCE58\uD558\uC9C0 \uC54A\uC2B5\uB2C8\uB2E4"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/TeX.js");
diff --git a/localization/ko/ko.js b/localization/ko/ko.js
index 6a133673ad..883aae40cc 100644
--- a/localization/ko/ko.js
+++ b/localization/ko/ko.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ko/ko.js
+ *  /MathJax-v2/localization/ko/ko.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ko",null,{menuTitle:"\uD55C\uAD6D\uC5B4",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax\uAC00 \uC2E4\uD589\uD560 \uCF54\uB4DC\uB97C \uD3EC\uD568\uD558\uB294 \uC0AC\uC6A9\uC790-\uC124\uC815 \uCFE0\uD0A4\uB97C \uCC3E\uC558\uC2B5\uB2C8\uB2E4. \uC2E4\uD589\uD558\uACA0\uC2B5\uB2C8\uAE4C?\n\n(\uCFE0\uD0A4\uB97C \uC2A4\uC2A4\uB85C \uC124\uC815\uD558\uC9C0 \uC54A\uC73C\uBA74 \uCDE8\uC18C\uB97C \uB20C\uB7EC\uC57C \uD569\uB2C8\uB2E4.)",MathProcessingError:"\uC218\uC2DD \uCC98\uB9AC \uC624\uB958",MathError:"\uC218\uC2DD \uC624\uB958",LoadFile:"%1\uC744(\uB97C) \uBD88\uB7EC\uC624\uB294 \uC911",Loading:"\uBD88\uB7EC\uC624\uB294 \uC911",LoadFailed:"\uD30C\uC77C\uC744 \uBD88\uB7EC\uC62C \uC218 \uC5C6\uC2B5\uB2C8\uB2E4: %1",ProcessMath:"\uC218\uC2DD \uCC98\uB9AC \uC911: %1%%",Processing:"\uCC98\uB9AC \uC911",TypesetMath:"\uC218\uC2DD \uC870\uD310 \uC911: %1%%",Typesetting:"\uC870\uD310 \uC911",MathJaxNotSupported:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uB294 MathJax\uB97C \uC9C0\uC6D0\uD558\uC9C0 \uC54A\uC2B5\uB2C8\uB2E4"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/ko.js");
+MathJax.Localization.addTranslation("ko",null,{menuTitle:"\uD55C\uAD6D\uC5B4",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax\uAC00 \uC2E4\uD589\uD560 \uCF54\uB4DC\uB97C \uD3EC\uD568\uD558\uB294 \uC0AC\uC6A9\uC790-\uC124\uC815 \uCFE0\uD0A4\uB97C \uCC3E\uC558\uC2B5\uB2C8\uB2E4. \uC2E4\uD589\uD558\uACA0\uC2B5\uB2C8\uAE4C?\n\n(\uCFE0\uD0A4\uB97C \uC2A4\uC2A4\uB85C \uC124\uC815\uD558\uC9C0 \uC54A\uC73C\uBA74 \uCDE8\uC18C\uB97C \uB20C\uB7EC\uC57C \uD569\uB2C8\uB2E4.)",MathProcessingError:"\uC218\uC2DD \uCC98\uB9AC \uC624\uB958",MathError:"\uC218\uC2DD \uC624\uB958",LoadFile:"%1\uC744(\uB97C) \uBD88\uB7EC\uC624\uB294 \uC911",Loading:"\uBD88\uB7EC\uC624\uB294 \uC911",LoadFailed:"\uD30C\uC77C\uC744 \uBD88\uB7EC\uC62C \uC218 \uC5C6\uC2B5\uB2C8\uB2E4: %1",ProcessMath:"\uC218\uC2DD \uCC98\uB9AC \uC911: %1%%",Processing:"\uCC98\uB9AC \uC911",TypesetMath:"\uC218\uC2DD \uC870\uD310 \uC911: %1%%",Typesetting:"\uC870\uD310 \uC911",MathJaxNotSupported:"\uC0AC\uC6A9\uD558\uB294 \uBE0C\uB77C\uC6B0\uC800\uB294 MathJax\uB97C \uC9C0\uC6D0\uD558\uC9C0 \uC54A\uC2B5\uB2C8\uB2E4"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ko/ko.js");
diff --git a/localization/lb/FontWarnings.js b/localization/lb/FontWarnings.js
index d4c2791b7c..dfdd1c917e 100644
--- a/localization/lb/FontWarnings.js
+++ b/localization/lb/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lb/FontWarnings.js
+ *  /MathJax-v2/localization/lb/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/FontWarnings.js");
+MathJax.Localization.addTranslation("lb","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/FontWarnings.js");
diff --git a/localization/lb/HTML-CSS.js b/localization/lb/HTML-CSS.js
index 9fd79b7ffa..8cde97debb 100644
--- a/localization/lb/HTML-CSS.js
+++ b/localization/lb/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lb/HTML-CSS.js
+ *  /MathJax-v2/localization/lb/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/HTML-CSS.js");
+MathJax.Localization.addTranslation("lb","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/HTML-CSS.js");
diff --git a/localization/lb/HelpDialog.js b/localization/lb/HelpDialog.js
index c90ec5c935..8a93f71a61 100644
--- a/localization/lb/HelpDialog.js
+++ b/localization/lb/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lb/HelpDialog.js
+ *  /MathJax-v2/localization/lb/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/HelpDialog.js");
+MathJax.Localization.addTranslation("lb","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/HelpDialog.js");
diff --git a/localization/lb/MathML.js b/localization/lb/MathML.js
index c9faf6e5c6..f4156fb668 100644
--- a/localization/lb/MathML.js
+++ b/localization/lb/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lb/MathML.js
+ *  /MathJax-v2/localization/lb/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/MathML.js");
+MathJax.Localization.addTranslation("lb","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/MathML.js");
diff --git a/localization/lb/MathMenu.js b/localization/lb/MathMenu.js
index 0ed17dcf6d..df31477122 100644
--- a/localization/lb/MathMenu.js
+++ b/localization/lb/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lb/MathMenu.js
+ *  /MathJax-v2/localization/lb/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb","MathMenu",{version:"2.7.6",isLoaded:true,strings:{MathMLcode:"MathML Code",OriginalMathML:"Original MathML",Original:"Original Formulaire",ErrorMessage:"Feelermessage",Annotation:"Notiz",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",OpenMath:"OpenMath",Settings:"Math Astellungen",Hover:"Driwwerfueren",Click:"Klicken",DoubleClick:"Duebel-Klick",NoZoom:"Kee Zoom",Option:"Optioun",Alt:"Alt",Control:"Ctrl",Auto:"Automatesch",TeXImage:"TeX (Bild)",STIXLocal:"STIX (lokal)",ContextMenu:"kontextuelle Men\u00FC",Browser:"Browser",Locale:"Sprooch",LoadLocale:"Luede vun der URL ...",About:"Iwwer MathJax",Help:"MathJax H\u00EBllef",LoadURL:"Iwwersetzungsdonn\u00E9e\u00EB vun d\u00EBser URL lueden:",Close:"Zoumaachen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/MathMenu.js");
+MathJax.Localization.addTranslation("lb","MathMenu",{version:"2.7.9",isLoaded:true,strings:{MathMLcode:"MathML Code",OriginalMathML:"Original MathML",Original:"Original Formulaire",ErrorMessage:"Feelermessage",Annotation:"Notiz",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",OpenMath:"OpenMath",Settings:"Math Astellungen",Hover:"Driwwerfueren",Click:"Klicken",DoubleClick:"Duebel-Klick",NoZoom:"Kee Zoom",Option:"Optioun",Alt:"Alt",Control:"Ctrl",Auto:"Automatesch",TeXImage:"TeX (Bild)",STIXLocal:"STIX (lokal)",ContextMenu:"kontextuelle Men\u00FC",Browser:"Browser",Locale:"Sprooch",LoadLocale:"Luede vun der URL ...",About:"Iwwer MathJax",Help:"MathJax H\u00EBllef",LoadURL:"Iwwersetzungsdonn\u00E9e\u00EB vun d\u00EBser URL lueden:",Close:"Zoumaachen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/MathMenu.js");
diff --git a/localization/lb/TeX.js b/localization/lb/TeX.js
index 52495c1b52..1e09101aa7 100644
--- a/localization/lb/TeX.js
+++ b/localization/lb/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lb/TeX.js
+ *  /MathJax-v2/localization/lb/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/TeX.js");
+MathJax.Localization.addTranslation("lb","TeX",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/TeX.js");
diff --git a/localization/lb/lb.js b/localization/lb/lb.js
index 430e1f3e2e..4d6f15d825 100644
--- a/localization/lb/lb.js
+++ b/localization/lb/lb.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lb/lb.js
+ *  /MathJax-v2/localization/lb/lb.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lb",null,{menuTitle:"L\u00EBtzebuergesch",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathError:"Math Feeler",LoadFile:"%1 lueden",Loading:"Lueden",LoadFailed:"De Fichier konnt net geluede ginn: %1",Processing:"Verschaffen",MathJaxNotSupported:"\u00C4re browser \u00EBnnerst\u00EBtzt MathJax net"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/lb.js");
+MathJax.Localization.addTranslation("lb",null,{menuTitle:"L\u00EBtzebuergesch",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathError:"Math Feeler",LoadFile:"%1 lueden",Loading:"Lueden",LoadFailed:"De Fichier konnt net geluede ginn: %1",Processing:"Verschaffen",MathJaxNotSupported:"\u00C4re browser \u00EBnnerst\u00EBtzt MathJax net"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/lb/lb.js");
diff --git a/localization/lki/FontWarnings.js b/localization/lki/FontWarnings.js
index 4e2982c587..c18880bde5 100644
--- a/localization/lki/FontWarnings.js
+++ b/localization/lki/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lki/FontWarnings.js
+ *  /MathJax-v2/localization/lki/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lki","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0632\u0645\u0627\u0646\u06CC \u062C\u0647\u062A \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0628\u06AF\u06CC\u0631\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0631\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u0633\u062A\u0642\u06CC\u0645 \u062F\u0631 \u067E\u0648\u0634\u0647\u0654 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0633\u06CC\u0633\u062A\u0645\u200C\u0639\u0627\u0645\u0644 \u062E\u0648\u062F \u0642\u0631\u0627\u0631 \u062F\u0647\u06CC\u062F \u0646\u0645\u0627\u06CC\u0634 \u0635\u0641\u062D\u0627\u062A \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u0646\u062F \u0634\u062F.",imageFonts:"MathJax \u0628\u0647 \u062C\u0627\u06CC \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0645\u062D\u0644\u06CC \u06CC\u0627 \u0648\u0628\u06CC \u0627\u0632 \u062A\u0635\u0627\u0648\u06CC\u0631 \u0642\u0644\u0645\u200C\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0646\u0645\u0627\u06CC\u0634 \u0631\u0627 \u0627\u0632 \u062D\u0627\u0644\u062A \u0639\u0627\u062F\u06CC \u06A9\u0646\u062F\u062A\u0631 \u0645\u06CC\u200C\u06A9\u0646\u062F \u0648 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u062F\u0631 \u062C\u0632\u0626\u06CC\u0627\u062A \u06A9\u0627\u0645\u0644 \u0686\u0627\u067E\u06AF\u0631 \u0634\u0645\u0627 \u0686\u0627\u067E \u0646\u0634\u0648\u0646\u062F.",noFonts:"MathJax \u0646\u062A\u0648\u0627\u0646\u0633\u062A \u0642\u0644\u0645\u06CC \u06A9\u0647 \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u0634\u0648\u062F \u0631\u0627 \u0628\u06CC\u0627\u0628\u062F \u0648 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC \u0645\u0648\u062C\u0648\u062F \u0646\u06CC\u0633\u062A\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0647 \u0627\u06CC\u0646 \u0627\u0645\u06CC\u062F \u06A9\u0647 \u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u062A\u0648\u0627\u0646\u062F \u0646\u0648\u06CC\u0633\u0647\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0639\u0645\u0648\u0645\u06CC \u0631\u0627 \u0686\u0627\u067E \u06A9\u0646\u062F \u0628\u0647 \u0622\u0646\u200C\u0647\u0627 \u0628\u0627\u0632\u0645\u06CC\u200C\u06AF\u0631\u062F\u062F. \u0628\u0639\u0636\u06CC \u0627\u0632 \u0646\u0648\u06CC\u0633\u0647\u200C\u0647\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062E\u0648\u0628\u06CC \u06CC\u0627 \u0627\u0635\u0644\u0627\u064B \u0628\u0647 \u06A9\u0644 \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",webFonts:"\u0627\u06A9\u062B\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u0631\u0648\u0632 \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC \u062F\u0647\u0646\u062F \u06A9\u0647 \u0642\u0644\u0645\u200C\u0647\u0627 \u0627\u0632 \u0637\u0631\u06CC\u0642 \u0648\u0628 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0634\u0648\u0646\u062F. \u0628\u0647\u200C\u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06CC\u200C\u06A9\u0631\u062F\u0646 \u0628\u0647 \u06CC\u06A9\u06CC \u0627\u0632 \u0622\u062E\u0631\u06CC\u0646 \u0646\u0633\u062E\u0647\u200C\u0647\u0627\u06CC \u0645\u0631\u0648\u0631\u06AF\u0631\u062A\u0627\u0646 (\u06CC\u0627 \u062A\u063A\u06CC\u06CC\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631) \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u06A9\u06CC\u0641\u06CC\u062A \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC \u0645\u0648\u062C\u0648\u062F \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u062F\u0647\u062F.",fonts:"MathJax \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0627\u0632 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u06CC\u0627 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 MathJax](%2) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u06CC\u06A9\u06CC \u0627\u0632 \u0622\u0646\u200C\u0647\u0627 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u062F\u0647\u062F.",STIXPage:"\u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0637\u0631\u0627\u062D\u06CC\u200C\u0634\u062F\u0647\u200C\u0627\u0633\u062A \u06A9\u0647 \u0627\u0632 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0642\u0644\u0645\u200C\u0647\u0627 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0648 \u0646\u0635\u0628 \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0628\u0647\u0628\u0648\u062F \u06CC\u0627\u0628\u062F.",TeXPage:"\u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0637\u0631\u0627\u062D\u06CC \u0634\u062F\u0647\u200C\u0627\u0633\u062A \u06A9\u0647 \u06A9\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 MathJax](%1) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0648 \u0646\u0635\u0628 \u0627\u06CC\u0646 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u0645\u06CC\u200C\u0628\u062E\u0634\u062F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/FontWarnings.js");
+MathJax.Localization.addTranslation("lki","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0632\u0645\u0627\u0646\u06CC \u062C\u0647\u062A \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0628\u06AF\u06CC\u0631\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0631\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u0633\u062A\u0642\u06CC\u0645 \u062F\u0631 \u067E\u0648\u0634\u0647\u0654 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0633\u06CC\u0633\u062A\u0645\u200C\u0639\u0627\u0645\u0644 \u062E\u0648\u062F \u0642\u0631\u0627\u0631 \u062F\u0647\u06CC\u062F \u0646\u0645\u0627\u06CC\u0634 \u0635\u0641\u062D\u0627\u062A \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u0646\u062F \u0634\u062F.",imageFonts:"MathJax \u0628\u0647 \u062C\u0627\u06CC \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0645\u062D\u0644\u06CC \u06CC\u0627 \u0648\u0628\u06CC \u0627\u0632 \u062A\u0635\u0627\u0648\u06CC\u0631 \u0642\u0644\u0645\u200C\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0646\u0645\u0627\u06CC\u0634 \u0631\u0627 \u0627\u0632 \u062D\u0627\u0644\u062A \u0639\u0627\u062F\u06CC \u06A9\u0646\u062F\u062A\u0631 \u0645\u06CC\u200C\u06A9\u0646\u062F \u0648 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u062F\u0631 \u062C\u0632\u0626\u06CC\u0627\u062A \u06A9\u0627\u0645\u0644 \u0686\u0627\u067E\u06AF\u0631 \u0634\u0645\u0627 \u0686\u0627\u067E \u0646\u0634\u0648\u0646\u062F.",noFonts:"MathJax \u0646\u062A\u0648\u0627\u0646\u0633\u062A \u0642\u0644\u0645\u06CC \u06A9\u0647 \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u0634\u0648\u062F \u0631\u0627 \u0628\u06CC\u0627\u0628\u062F \u0648 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC \u0645\u0648\u062C\u0648\u062F \u0646\u06CC\u0633\u062A\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0647 \u0627\u06CC\u0646 \u0627\u0645\u06CC\u062F \u06A9\u0647 \u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u062A\u0648\u0627\u0646\u062F \u0646\u0648\u06CC\u0633\u0647\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0639\u0645\u0648\u0645\u06CC \u0631\u0627 \u0686\u0627\u067E \u06A9\u0646\u062F \u0628\u0647 \u0622\u0646\u200C\u0647\u0627 \u0628\u0627\u0632\u0645\u06CC\u200C\u06AF\u0631\u062F\u062F. \u0628\u0639\u0636\u06CC \u0627\u0632 \u0646\u0648\u06CC\u0633\u0647\u200C\u0647\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062E\u0648\u0628\u06CC \u06CC\u0627 \u0627\u0635\u0644\u0627\u064B \u0628\u0647 \u06A9\u0644 \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",webFonts:"\u0627\u06A9\u062B\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u0631\u0648\u0632 \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC \u062F\u0647\u0646\u062F \u06A9\u0647 \u0642\u0644\u0645\u200C\u0647\u0627 \u0627\u0632 \u0637\u0631\u06CC\u0642 \u0648\u0628 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0634\u0648\u0646\u062F. \u0628\u0647\u200C\u0631\u0648\u0632\u0631\u0633\u0627\u0646\u06CC\u200C\u06A9\u0631\u062F\u0646 \u0628\u0647 \u06CC\u06A9\u06CC \u0627\u0632 \u0622\u062E\u0631\u06CC\u0646 \u0646\u0633\u062E\u0647\u200C\u0647\u0627\u06CC \u0645\u0631\u0648\u0631\u06AF\u0631\u062A\u0627\u0646 (\u06CC\u0627 \u062A\u063A\u06CC\u06CC\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631) \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u06A9\u06CC\u0641\u06CC\u062A \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC \u0645\u0648\u062C\u0648\u062F \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u062F\u0647\u062F.",fonts:"MathJax \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0627\u0632 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u06CC\u0627 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 MathJax](%2) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u06CC\u06A9\u06CC \u0627\u0632 \u0622\u0646\u200C\u0647\u0627 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u062F\u0647\u062F.",STIXPage:"\u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0637\u0631\u0627\u062D\u06CC\u200C\u0634\u062F\u0647\u200C\u0627\u0633\u062A \u06A9\u0647 \u0627\u0632 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0642\u0644\u0645\u200C\u0647\u0627 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0648 \u0646\u0635\u0628 \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0628\u0647\u0628\u0648\u062F \u06CC\u0627\u0628\u062F.",TeXPage:"\u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0637\u0631\u0627\u062D\u06CC \u0634\u062F\u0647\u200C\u0627\u0633\u062A \u06A9\u0647 \u06A9\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 MathJax](%1) \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u062F. \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0648 \u0646\u0635\u0628 \u0627\u06CC\u0646 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u062C\u0631\u06CC\u0647\u0654 MathJax \u0634\u0645\u0627 \u0631\u0627 \u0628\u0647\u0628\u0648\u062F \u0645\u06CC\u200C\u0628\u062E\u0634\u062F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/FontWarnings.js");
diff --git a/localization/lki/HTML-CSS.js b/localization/lki/HTML-CSS.js
index 6c3120bb57..b81ac01b31 100644
--- a/localization/lki/HTML-CSS.js
+++ b/localization/lki/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lki/HTML-CSS.js
+ *  /MathJax-v2/localization/lki/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lki","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0642\u0644\u0645 \u0648\u0628\u06CC %1",CantLoadWebFont:"\u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646 \u0642\u0644\u0645 \u0648\u0628\u06CC %1 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0631\u062F",FirefoxCantLoadWebFont:"\u0641\u0627\u06CC\u0631\u0641\u0627\u06A9\u0633 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0631\u0627 \u0627\u0632 \u06CC\u06A9 \u0645\u06CC\u0632\u0627\u0646 \u0627\u0632 \u0631\u0627\u0647 \u062F\u0648\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u062F",CantFindFontUsing:"\u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646 \u06CC\u06A9 \u0642\u0644\u0645 \u0645\u0639\u062A\u0628\u0631 \u0628\u0627\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 %1 \u06CC\u0627\u0641\u062A",WebFontsNotAvailable:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0646\u0627\u0645\u0648\u062C\u0648\u062F\u0646\u062F -- \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC \u0628\u0647 \u062C\u0627\u06CC \u0622\u0646"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/HTML-CSS.js");
+MathJax.Localization.addTranslation("lki","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0642\u0644\u0645 \u0648\u0628\u06CC %1",CantLoadWebFont:"\u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646 \u0642\u0644\u0645 \u0648\u0628\u06CC %1 \u0631\u0627 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0631\u062F",FirefoxCantLoadWebFont:"\u0641\u0627\u06CC\u0631\u0641\u0627\u06A9\u0633 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0631\u0627 \u0627\u0632 \u06CC\u06A9 \u0645\u06CC\u0632\u0627\u0646 \u0627\u0632 \u0631\u0627\u0647 \u062F\u0648\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u062F",CantFindFontUsing:"\u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646 \u06CC\u06A9 \u0642\u0644\u0645 \u0645\u0639\u062A\u0628\u0631 \u0628\u0627\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 %1 \u06CC\u0627\u0641\u062A",WebFontsNotAvailable:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0646\u0627\u0645\u0648\u062C\u0648\u062F\u0646\u062F -- \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC \u0628\u0647 \u062C\u0627\u06CC \u0622\u0646"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/HTML-CSS.js");
diff --git a/localization/lki/HelpDialog.js b/localization/lki/HelpDialog.js
index 656990f208..93ce87148b 100644
--- a/localization/lki/HelpDialog.js
+++ b/localization/lki/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lki/HelpDialog.js
+ *  /MathJax-v2/localization/lki/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lki","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",MathJax:"*MathJax* \u06CC\u06A9 \u06A9\u062A\u0627\u0628\u062E\u0627\u0646\u0647\u0654 \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A\u06CC \u0627\u0633\u062A \u06A9\u0647 \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u06A9\u0647 \u0646\u0648\u06CC\u0633\u0646\u062F\u0647\u200C\u0647\u0627\u06CC \u0635\u0641\u062D\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0631\u0627 \u062F\u0631\u0648\u0646 \u0635\u0641\u062D\u0647\u200C\u0647\u0627\u06CC \u0642\u0631\u0627\u0631 \u062F\u0647\u0646\u062F.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u062E\u0648\u0627\u0646\u0646\u062F\u0647\u060C \u0634\u0645\u0627 \u0646\u06CC\u0627\u0632 \u0646\u062F\u0627\u0631\u06CC\u062F \u06A9\u0627\u0631\u06CC \u0627\u0646\u062C\u0627\u0645 \u062F\u0647\u06CC\u062F \u06A9\u0647 \u0627\u06CC\u0646 \u0627\u062A\u0641\u0627\u0642 \u0628\u06CC\u0641\u062A\u062F.",Browsers:"*\u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627*: MathJax \u0628\u0627 \u0647\u0645\u0647\u0654 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u0631\u0648\u0632 \u0634\u0627\u0645\u0644 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u06F6 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0641\u0627\u06CC\u0631\u0641\u0627\u06A9\u0633 \u06F3 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u06A9\u0631\u0648\u0645 \u06F0.\u06F2 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0633\u0627\u0641\u0627\u0631\u0633\u06CC \u06F2 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0627\u067E\u0631\u0627\u06CC \u06F9.\u06F6 \u0628\u0647 \u0628\u0627\u0644\u0627 \u0648 \u0627\u06A9\u062B\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u062A\u0644\u0641\u0646 \u0647\u0645\u0631\u0627\u0647 \u06A9\u0627\u0631 \u0645\u06CC\u200C\u06A9\u0646\u062F.",Menu:"*\u0645\u0646\u0648\u06CC \u0631\u06CC\u0627\u0636\u06CC*: MathJax \u06CC\u06A9 \u0645\u0646\u0648\u06CC \u0645\u062A\u0646\u06CC \u0628\u0647 \u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0645\u06CC\u200C\u0627\u0641\u0632\u0627\u06CC\u062F. \u0628\u0627 \u06A9\u0644\u06CC\u06A9 \u0631\u0627\u0633\u062A \u06CC\u0627 \u06A9\u0644\u06CC\u06A9 \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u0645\u0647\u0627\u0631 (CTRL) \u062F\u0631 \u0647\u0631 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0627\u06CC \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u0628\u0647 \u0627\u06CC\u0646 \u0645\u0646\u0648 \u062F\u0633\u062A \u0628\u06CC\u0627\u0628\u06CC\u062F.",ShowMath:"*\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC \u0628\u0647 \u0639\u0646\u0648\u0627\u0646* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u06A9\u0647 \u0634\u0645\u0627 \u0645\u0646\u0628\u0639 \u0646\u0634\u0627\u0646\u0647\u200C\u06AF\u0630\u0627\u0631\u06CC \u0641\u0631\u0645\u0648\u0644 \u0631\u0627 \u0628\u0631\u0627\u06CC \u0631\u0648\u0646\u0648\u0634\u062A \u0648 \u0686\u0633\u067E\u0627\u0646\u062F\u0646 \u0628\u0628\u06CC\u0646\u06CC\u062F (\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 MathML \u06CC\u0627 \u062F\u0631 \u0642\u0627\u0644\u0628 \u0627\u0635\u0644\u06CC \u0622\u0646).",Settings:"*\u062A\u0646\u0638\u06CC\u0645\u0627\u062A* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u0628\u0647 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC MathJax \u0627\u0632 \u062C\u0645\u0644\u0647\u0654 \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u0648 \u0645\u06A9\u0627\u0646\u06CC\u0632\u0645 \u0627\u0633\u062A\u0641\u0627\u062F\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u06A9\u0646\u062A\u0631\u0644 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F.",Language:"*\u0632\u0628\u0627\u0646* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u0634\u0645\u0627 \u0632\u0628\u0627\u0646 \u0627\u0633\u062A\u0641\u0627\u062F\u0647\u200C\u0634\u062F\u0647 \u062A\u0648\u0633\u0637 MathJax \u0628\u0631\u0627\u06CC \u0645\u0646\u0648\u0647\u0627 \u0648 \u067E\u06CC\u063A\u0627\u0645\u200C\u0647\u0627\u06CC \u062E\u0637\u0627 \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u06A9\u0646\u06CC\u062F.",Zoom:"*\u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0631\u06CC\u0627\u0636\u06CC*: \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0627 \u062E\u0648\u0627\u0646\u062F\u0646 \u06CC\u06A9 \u0645\u0639\u0627\u062F\u0644\u0647 \u0645\u0634\u06A9\u0644\u06CC \u062F\u0627\u0631\u06CC\u062F\u060C MathJax \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0628\u0627 \u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0628\u0647 \u062F\u06CC\u062F\u0646 \u0634\u0645\u0627 \u06A9\u0645\u06A9 \u06A9\u0646\u062F.",Accessibilty:"*\u062F\u0633\u062A\u06CC\u0627\u0628\u06CC\u200C\u067E\u0630\u06CC\u0631\u06CC*: MathJax \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u062E\u0648\u062F\u06A9\u0627\u0631 \u0628\u0627 \u0635\u0641\u062D\u0647\u200C\u0647\u0627\u06CC\u06CC \u06A9\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0631\u0627 \u0628\u0631\u0627\u06CC \u0642\u0627\u0628\u0644 \u062F\u0633\u062A\u0631\u0633 \u0628\u0631\u0627\u06CC \u06A9\u0633\u0627\u0646\u06CC \u06A9\u0647 \u0645\u0634\u06A9\u0644 \u0628\u06CC\u0646\u0627\u06CC\u06CC \u062F\u0627\u0631\u0646\u062F \u0639\u0645\u0644 \u0645\u06CC\u200C\u06A9\u0646\u062F.",Fonts:"*\u0642\u0644\u0645\u200C\u0647\u0627*: MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0645\u0634\u062E\u0635\u06CC \u0627\u06AF\u0631 \u0628\u0631 \u0631\u0648\u06CC \u0631\u0627\u06CC\u0627\u0646\u0647\u0654 \u0634\u0645\u0627 \u0646\u0635\u0628 \u0628\u0627\u0634\u0646\u062F \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F\u061B \u062F\u0631 \u063A\u06CC\u0631 \u0627\u06CC\u0646 \u0635\u0648\u0631\u062A \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0628\u0631 \u067E\u0627\u06CC\u0647\u0654 \u0648\u0628 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u062E\u0648\u0627\u0647\u062F \u06A9\u0631\u062F.  \u0627\u06AF\u0631\u0686\u0647 \u0646\u06CC\u0627\u0632\u06CC \u0646\u06CC\u0633\u062A\u060C \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0646\u0635\u0628\u200C\u0634\u062F\u0647 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u0627 \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u062F \u06A9\u0631\u062F. \u0645\u0627 \u0646\u0635\u0628 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u0631\u0627 \u067E\u06CC\u0634\u0646\u0647\u0627\u062F \u0645\u06CC\u200C\u06A9\u0646\u06CC\u0645."}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/HelpDialog.js");
+MathJax.Localization.addTranslation("lki","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",MathJax:"*MathJax* \u06CC\u06A9 \u06A9\u062A\u0627\u0628\u062E\u0627\u0646\u0647\u0654 \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A\u06CC \u0627\u0633\u062A \u06A9\u0647 \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u06A9\u0647 \u0646\u0648\u06CC\u0633\u0646\u062F\u0647\u200C\u0647\u0627\u06CC \u0635\u0641\u062D\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0631\u0627 \u062F\u0631\u0648\u0646 \u0635\u0641\u062D\u0647\u200C\u0647\u0627\u06CC \u0642\u0631\u0627\u0631 \u062F\u0647\u0646\u062F.  \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u062E\u0648\u0627\u0646\u0646\u062F\u0647\u060C \u0634\u0645\u0627 \u0646\u06CC\u0627\u0632 \u0646\u062F\u0627\u0631\u06CC\u062F \u06A9\u0627\u0631\u06CC \u0627\u0646\u062C\u0627\u0645 \u062F\u0647\u06CC\u062F \u06A9\u0647 \u0627\u06CC\u0646 \u0627\u062A\u0641\u0627\u0642 \u0628\u06CC\u0641\u062A\u062F.",Browsers:"*\u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627*: MathJax \u0628\u0627 \u0647\u0645\u0647\u0654 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u0631\u0648\u0632 \u0634\u0627\u0645\u0644 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u06F6 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0641\u0627\u06CC\u0631\u0641\u0627\u06A9\u0633 \u06F3 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u06A9\u0631\u0648\u0645 \u06F0.\u06F2 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0633\u0627\u0641\u0627\u0631\u0633\u06CC \u06F2 \u0628\u0647 \u0628\u0627\u0644\u0627\u060C \u0627\u067E\u0631\u0627\u06CC \u06F9.\u06F6 \u0628\u0647 \u0628\u0627\u0644\u0627 \u0648 \u0627\u06A9\u062B\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631\u0647\u0627\u06CC \u062A\u0644\u0641\u0646 \u0647\u0645\u0631\u0627\u0647 \u06A9\u0627\u0631 \u0645\u06CC\u200C\u06A9\u0646\u062F.",Menu:"*\u0645\u0646\u0648\u06CC \u0631\u06CC\u0627\u0636\u06CC*: MathJax \u06CC\u06A9 \u0645\u0646\u0648\u06CC \u0645\u062A\u0646\u06CC \u0628\u0647 \u0645\u0639\u0627\u062F\u0644\u0627\u062A \u0645\u06CC\u200C\u0627\u0641\u0632\u0627\u06CC\u062F. \u0628\u0627 \u06A9\u0644\u06CC\u06A9 \u0631\u0627\u0633\u062A \u06CC\u0627 \u06A9\u0644\u06CC\u06A9 \u0628\u0647 \u0647\u0645\u0631\u0627\u0647 \u0645\u0647\u0627\u0631 (CTRL) \u062F\u0631 \u0647\u0631 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0627\u06CC \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u0628\u0647 \u0627\u06CC\u0646 \u0645\u0646\u0648 \u062F\u0633\u062A \u0628\u06CC\u0627\u0628\u06CC\u062F.",ShowMath:"*\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC \u0628\u0647 \u0639\u0646\u0648\u0627\u0646* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u06A9\u0647 \u0634\u0645\u0627 \u0645\u0646\u0628\u0639 \u0646\u0634\u0627\u0646\u0647\u200C\u06AF\u0630\u0627\u0631\u06CC \u0641\u0631\u0645\u0648\u0644 \u0631\u0627 \u0628\u0631\u0627\u06CC \u0631\u0648\u0646\u0648\u0634\u062A \u0648 \u0686\u0633\u067E\u0627\u0646\u062F\u0646 \u0628\u0628\u06CC\u0646\u06CC\u062F (\u0628\u0647 \u0639\u0646\u0648\u0627\u0646 MathML \u06CC\u0627 \u062F\u0631 \u0642\u0627\u0644\u0628 \u0627\u0635\u0644\u06CC \u0622\u0646).",Settings:"*\u062A\u0646\u0638\u06CC\u0645\u0627\u062A* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u0628\u0647 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC MathJax \u0627\u0632 \u062C\u0645\u0644\u0647\u0654 \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u0648 \u0645\u06A9\u0627\u0646\u06CC\u0632\u0645 \u0627\u0633\u062A\u0641\u0627\u062F\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627 \u06A9\u0646\u062A\u0631\u0644 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F.",Language:"*\u0632\u0628\u0627\u0646* \u0627\u062C\u0627\u0632\u0647 \u0645\u06CC\u200C\u062F\u0647\u062F \u0634\u0645\u0627 \u0632\u0628\u0627\u0646 \u0627\u0633\u062A\u0641\u0627\u062F\u0647\u200C\u0634\u062F\u0647 \u062A\u0648\u0633\u0637 MathJax \u0628\u0631\u0627\u06CC \u0645\u0646\u0648\u0647\u0627 \u0648 \u067E\u06CC\u063A\u0627\u0645\u200C\u0647\u0627\u06CC \u062E\u0637\u0627 \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u06A9\u0646\u06CC\u062F.",Zoom:"*\u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0631\u06CC\u0627\u0636\u06CC*: \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0627 \u062E\u0648\u0627\u0646\u062F\u0646 \u06CC\u06A9 \u0645\u0639\u0627\u062F\u0644\u0647 \u0645\u0634\u06A9\u0644\u06CC \u062F\u0627\u0631\u06CC\u062F\u060C MathJax \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0628\u0627 \u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0628\u0647 \u062F\u06CC\u062F\u0646 \u0634\u0645\u0627 \u06A9\u0645\u06A9 \u06A9\u0646\u062F.",Accessibilty:"*\u062F\u0633\u062A\u06CC\u0627\u0628\u06CC\u200C\u067E\u0630\u06CC\u0631\u06CC*: MathJax \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u062E\u0648\u062F\u06A9\u0627\u0631 \u0628\u0627 \u0635\u0641\u062D\u0647\u200C\u0647\u0627\u06CC\u06CC \u06A9\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0631\u0627 \u0628\u0631\u0627\u06CC \u0642\u0627\u0628\u0644 \u062F\u0633\u062A\u0631\u0633 \u0628\u0631\u0627\u06CC \u06A9\u0633\u0627\u0646\u06CC \u06A9\u0647 \u0645\u0634\u06A9\u0644 \u0628\u06CC\u0646\u0627\u06CC\u06CC \u062F\u0627\u0631\u0646\u062F \u0639\u0645\u0644 \u0645\u06CC\u200C\u06A9\u0646\u062F.",Fonts:"*\u0642\u0644\u0645\u200C\u0647\u0627*: MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0645\u0634\u062E\u0635\u06CC \u0627\u06AF\u0631 \u0628\u0631 \u0631\u0648\u06CC \u0631\u0627\u06CC\u0627\u0646\u0647\u0654 \u0634\u0645\u0627 \u0646\u0635\u0628 \u0628\u0627\u0634\u0646\u062F \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F\u061B \u062F\u0631 \u063A\u06CC\u0631 \u0627\u06CC\u0646 \u0635\u0648\u0631\u062A \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0628\u0631 \u067E\u0627\u06CC\u0647\u0654 \u0648\u0628 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u062E\u0648\u0627\u0647\u062F \u06A9\u0631\u062F.  \u0627\u06AF\u0631\u0686\u0647 \u0646\u06CC\u0627\u0632\u06CC \u0646\u06CC\u0633\u062A\u060C \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0646\u0635\u0628\u200C\u0634\u062F\u0647 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u0627 \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u062F \u06A9\u0631\u062F. \u0645\u0627 \u0646\u0635\u0628 [\u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX](%1) \u0631\u0627 \u067E\u06CC\u0634\u0646\u0647\u0627\u062F \u0645\u06CC\u200C\u06A9\u0646\u06CC\u0645."}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/HelpDialog.js");
diff --git a/localization/lki/MathML.js b/localization/lki/MathML.js
index fe989b15f8..4c2f88c43b 100644
--- a/localization/lki/MathML.js
+++ b/localization/lki/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lki/MathML.js
+ *  /MathJax-v2/localization/lki/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lki","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"mglyph \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",BadMglyphFont:"\u0642\u0644\u0645 \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",MathPlayer:"MathJax \u0646\u062A\u0648\u0627\u0646\u0633\u062A MathPlayer \u0631\u0627 \u0631\u0627\u0647\u200C\u0627\u0646\u062F\u0627\u0632\u06CC \u06A9\u0646\u062F.\n\n\u0627\u06AF\u0631 MathPlayer \u0646\u0635\u0628 \u0646\u06CC\u0633\u062A\u060C \u0634\u0645\u0627 \u0646\u06CC\u0627\u0632 \u062F\u0627\u0631\u06CC\u062F \u06A9\u0647 \u0627\u0628\u062A\u062F\u0627 \u0622\u0646 \u0631\u0627 \u0646\u0635\u0628 \u06A9\u0646\u06CC\u062F.\n\u062F\u0631 \u063A\u06CC\u0631 \u0627\u06CC\u0646 \u0635\u0648\u0631\u062A\u060C \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u0645\u0646\u06CC\u062A\u06CC \u0634\u0645\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u06A9\u0647 \u0627\u0632 \u0627\u062C\u0631\u0627\u06CC\n\u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633 \u062C\u0644\u0648\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u062F. \u0627\u0632 \u06AF\u0632\u06CC\u0646\u0647\u200C\u0647\u0627\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u0645\u0648\u062C\u0648\u062F \u0632\u06CC\u0631\n\u0645\u0646\u0648\u06CC \u0627\u0628\u0632\u0627\u0631 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F \u0648 \u0628\u0631\u06AF\u0647\u0654 \u0627\u0645\u0646\u06CC\u062A \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u06A9\u0646\u06CC\u062F\u060C \u0633\u067E\u0633 \u062F\u06A9\u0645\u0647\u0654\n\u0645\u0631\u062C\u0644\u0647\u0654 \u0633\u0641\u0627\u0631\u0634\u06CC \u0631\u0627 \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F. \u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u062C\u0631\u0627\u06CC\n\u00AB\u0627\u062C\u0631\u0627\u06CC \u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633\u00BB \u0648 \u00AB\u0631\u0641\u062A\u0627\u0631\u0647\u0627\u06CC \u062F\u0648\u062F\u0648\u06CC\u06CC \u0648 \u0627\u0633\u06A9\u0631\u06CC\u067E\u062A\u00BB \u0641\u0639\u0627\u0644\n\u0647\u0633\u062A\u0646\u062F.\n\n\u062F\u0631 \u062D\u0627\u0644 \u062D\u0627\u0636\u0631 \u0634\u0645\u0627 \u0628\u0647 \u062C\u0627\u06CC \u062D\u0631\u0648\u0641 \u0631\u06CC\u0627\u0636\u06CC \u067E\u06CC\u0627\u0645\u200C\u0647\u0627\u06CC \u062E\u0637\u0627\u06CC \u062E\u0648\u0627\u0647\u06CC\u062F \u062F\u06CC\u062F.",CantCreateXMLParser:"MathJax \u0646\u062A\u0648\u0627\u0633\u062A \u06CC\u06A9 \u062A\u062C\u0632\u06CC\u0647\u200C\u06AF\u0631 \u0627\u06A9\u0633\u200C\u0627\u0645\u200C\u0627\u0644 \u0628\u0631\u0627\u06CC MathML \u0627\u06CC\u062C\u0627\u062F \u06A9\u0646\u062F.\n\u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u0645\u0646\u06CC\u062A\u06CC \u00AB\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A \u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633\n\u0639\u0644\u0627\u0645\u062A\u200C\u06AF\u0630\u0627\u0631\u06CC\u200C\u0634\u062F\u0647 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0627\u0645\u0646 \u0628\u0631\u0627\u06CC \u06A9\u062F\u0632\u0646\u06CC\u00BB \u0641\u0639\u0627\u0644 \u0627\u0633\u062A (\u0627\u0632\n\u06AF\u0632\u06CC\u0646\u0647\u0654 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u06AF\u0632\u06CC\u0646\u0647 \u062F\u0631 \u0645\u0646\u0648\u06CC \u0627\u0628\u0632\u0627\u0631\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F \u0648 \u067E\u0646\u0644 \u0627\u0645\u0646\u06CC\u062A \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628\n\u06A9\u0646\u06CC\u062F \u0648 \u062F\u06A9\u0645\u0647\u0654 \u0645\u0631\u062D\u0644\u0647\u0654 \u0633\u0641\u0627\u0631\u0634\u06CC \u062A\u0627 \u0627\u06CC\u0646 \u0631\u0627 \u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F).\n\n\u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC MathML \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u0646\u062F \u062A\u0648\u0633\u0637 MathJax \u067E\u0631\u062F\u0627\u0632\u0634 \u06AF\u0631\u062F\u0646\u062F.",UnknownNodeType:"\u0646\u0648\u0639 \u06AF\u0631\u0647\u0654 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647: %1",UnexpectedTextNode:"\u06AF\u0631\u0647\u0654 \u0645\u062A\u0646\u06CC \u063A\u06CC\u0631\u0645\u0646\u062A\u0638\u0631\u0647:\u200C %1",ErrorParsingMathML:"\u062E\u0637\u0627\u06CC \u062A\u062C\u0632\u06CC\u0647\u0654 MathML",ParsingError:"\u062E\u0637\u0627\u06CC \u062A\u062C\u0632\u06CC\u0647\u0654 MathML\u200F: %1",MathMLSingleElement:"MathML \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0648\u0627\u062D\u062F \u0628\u06CC\u0627\u06CC\u062F",MathMLRootElement:"MathML \u0628\u0627\u06CC\u062F \u062A\u0648\u0633\u0637 \u0639\u0646\u0635\u0631 \u003Cmath\u003E \u062A\u0634\u06A9\u06CC\u0644 \u0634\u062F\u0647 \u0628\u0627\u0634\u062F \u0646\u0647 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/MathML.js");
+MathJax.Localization.addTranslation("lki","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"mglyph \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",BadMglyphFont:"\u0642\u0644\u0645 \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",MathPlayer:"MathJax \u0646\u062A\u0648\u0627\u0646\u0633\u062A MathPlayer \u0631\u0627 \u0631\u0627\u0647\u200C\u0627\u0646\u062F\u0627\u0632\u06CC \u06A9\u0646\u062F.\n\n\u0627\u06AF\u0631 MathPlayer \u0646\u0635\u0628 \u0646\u06CC\u0633\u062A\u060C \u0634\u0645\u0627 \u0646\u06CC\u0627\u0632 \u062F\u0627\u0631\u06CC\u062F \u06A9\u0647 \u0627\u0628\u062A\u062F\u0627 \u0622\u0646 \u0631\u0627 \u0646\u0635\u0628 \u06A9\u0646\u06CC\u062F.\n\u062F\u0631 \u063A\u06CC\u0631 \u0627\u06CC\u0646 \u0635\u0648\u0631\u062A\u060C \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u0645\u0646\u06CC\u062A\u06CC \u0634\u0645\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u06A9\u0647 \u0627\u0632 \u0627\u062C\u0631\u0627\u06CC\n\u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633 \u062C\u0644\u0648\u06AF\u06CC\u0631\u06CC \u06A9\u0646\u062F. \u0627\u0632 \u06AF\u0632\u06CC\u0646\u0647\u200C\u0647\u0627\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u0645\u0648\u062C\u0648\u062F \u0632\u06CC\u0631\n\u0645\u0646\u0648\u06CC \u0627\u0628\u0632\u0627\u0631 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F \u0648 \u0628\u0631\u06AF\u0647\u0654 \u0627\u0645\u0646\u06CC\u062A \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u06A9\u0646\u06CC\u062F\u060C \u0633\u067E\u0633 \u062F\u06A9\u0645\u0647\u0654\n\u0645\u0631\u062C\u0644\u0647\u0654 \u0633\u0641\u0627\u0631\u0634\u06CC \u0631\u0627 \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F. \u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u062C\u0631\u0627\u06CC\n\u00AB\u0627\u062C\u0631\u0627\u06CC \u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633\u00BB \u0648 \u00AB\u0631\u0641\u062A\u0627\u0631\u0647\u0627\u06CC \u062F\u0648\u062F\u0648\u06CC\u06CC \u0648 \u0627\u0633\u06A9\u0631\u06CC\u067E\u062A\u00BB \u0641\u0639\u0627\u0644\n\u0647\u0633\u062A\u0646\u062F.\n\n\u062F\u0631 \u062D\u0627\u0644 \u062D\u0627\u0636\u0631 \u0634\u0645\u0627 \u0628\u0647 \u062C\u0627\u06CC \u062D\u0631\u0648\u0641 \u0631\u06CC\u0627\u0636\u06CC \u067E\u06CC\u0627\u0645\u200C\u0647\u0627\u06CC \u062E\u0637\u0627\u06CC \u062E\u0648\u0627\u0647\u06CC\u062F \u062F\u06CC\u062F.",CantCreateXMLParser:"MathJax \u0646\u062A\u0648\u0627\u0633\u062A \u06CC\u06A9 \u062A\u062C\u0632\u06CC\u0647\u200C\u06AF\u0631 \u0627\u06A9\u0633\u200C\u0627\u0645\u200C\u0627\u0644 \u0628\u0631\u0627\u06CC MathML \u0627\u06CC\u062C\u0627\u062F \u06A9\u0646\u062F.\n\u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F \u06A9\u0647 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0627\u0645\u0646\u06CC\u062A\u06CC \u00AB\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A \u06A9\u0646\u062A\u0631\u0644\u200C\u0647\u0627\u06CC \u0627\u06A9\u062A\u06CC\u0648\u0627\u06A9\u0633\n\u0639\u0644\u0627\u0645\u062A\u200C\u06AF\u0630\u0627\u0631\u06CC\u200C\u0634\u062F\u0647 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0627\u0645\u0646 \u0628\u0631\u0627\u06CC \u06A9\u062F\u0632\u0646\u06CC\u00BB \u0641\u0639\u0627\u0644 \u0627\u0633\u062A (\u0627\u0632\n\u06AF\u0632\u06CC\u0646\u0647\u0654 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u06AF\u0632\u06CC\u0646\u0647 \u062F\u0631 \u0645\u0646\u0648\u06CC \u0627\u0628\u0632\u0627\u0631\u0647\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F \u0648 \u067E\u0646\u0644 \u0627\u0645\u0646\u06CC\u062A \u0631\u0627 \u0627\u0646\u062A\u062E\u0627\u0628\n\u06A9\u0646\u06CC\u062F \u0648 \u062F\u06A9\u0645\u0647\u0654 \u0645\u0631\u062D\u0644\u0647\u0654 \u0633\u0641\u0627\u0631\u0634\u06CC \u062A\u0627 \u0627\u06CC\u0646 \u0631\u0627 \u0628\u0631\u0631\u0633\u06CC \u06A9\u0646\u06CC\u062F).\n\n\u0645\u0639\u0627\u062F\u0644\u0647\u200C\u0647\u0627\u06CC MathML \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u0646\u062F \u062A\u0648\u0633\u0637 MathJax \u067E\u0631\u062F\u0627\u0632\u0634 \u06AF\u0631\u062F\u0646\u062F.",UnknownNodeType:"\u0646\u0648\u0639 \u06AF\u0631\u0647\u0654 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647: %1",UnexpectedTextNode:"\u06AF\u0631\u0647\u0654 \u0645\u062A\u0646\u06CC \u063A\u06CC\u0631\u0645\u0646\u062A\u0638\u0631\u0647:\u200C %1",ErrorParsingMathML:"\u062E\u0637\u0627\u06CC \u062A\u062C\u0632\u06CC\u0647\u0654 MathML",ParsingError:"\u062E\u0637\u0627\u06CC \u062A\u062C\u0632\u06CC\u0647\u0654 MathML\u200F: %1",MathMLSingleElement:"MathML \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0648\u0627\u062D\u062F \u0628\u06CC\u0627\u06CC\u062F",MathMLRootElement:"MathML \u0628\u0627\u06CC\u062F \u062A\u0648\u0633\u0637 \u0639\u0646\u0635\u0631 \u003Cmath\u003E \u062A\u0634\u06A9\u06CC\u0644 \u0634\u062F\u0647 \u0628\u0627\u0634\u062F \u0646\u0647 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/MathML.js");
diff --git a/localization/lki/MathMenu.js b/localization/lki/MathMenu.js
index 5047d923f1..fa2d185ebb 100644
--- a/localization/lki/MathMenu.js
+++ b/localization/lki/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lki/MathMenu.js
+ *  /MathJax-v2/localization/lki/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lki","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u0639\u0646\u0648\u0627\u0646",MathMLcode:"\u06A9\u062F MathML",OriginalMathML:"MathML \u0627\u0635\u0644\u06CC",TeXCommands:"\u062F\u0633\u062A\u0648\u0631\u0627\u062A \u062A\u06A9",AsciiMathInput:"\u0648\u0631\u0648\u062F\u06CC AsciiMathML",Original:"\u062D\u0627\u0644\u062A \u0627\u0635\u0644\u06CC",ErrorMessage:"\u067E\u06CC\u063A\u0648\u0645 \u062E\u0637\u0627",Annotation:"\u06CC\u0627\u062F\u062F\u0627\u0634\u062A/\u0648\u06CC\u0631\u0646\u06C6\u06CC\u0633\u0629",TeX:"\u062A\u06A9",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML \u0646\u06C6\u0645 \u062C\u0650\u06A9(\u0645\u062D\u062A\u0648\u0627)",OpenMath:"OpenMath",texHints:"\u0646\u0645\u0627\u06CC\u0634 \u0646\u06A9\u062A\u0647\u200C\u0647\u0627\u06CC \u062A\u06A9 \u062F\u0631 MathML",Settings:"\u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A",ZoomTrigger:"\u0645\u0627\u0634\u0647\u0654 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Hover:"\u0642\u0631\u0627\u0631\u062F\u0627\u062F\u0646 \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0628\u0631 \u0631\u0648\u06CC \u0622\u0646",Click:"\u06A9\u0650\u0644\u06CC\u06A9 \u06A9\u0629",DoubleClick:"\u062F\u0648 \u06AF\u0650\u0644/\u0628\u0627\u0631 \u06A9\u0644\u06CC\u06A9",NoZoom:"\u0628\u062F\u0648\u0646 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",TriggerRequires:"\u062A\u063A\u06CC\u06CC\u0631 \u062D\u0627\u0644\u062A \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u0627\u0633\u062A \u0628\u0647:",Option:"\u06AF\u0632\u06CC\u0646\u0647",Alt:"\u062F\u06AF\u0631\u0633\u0627\u0632",Command:"\u062F\u0633\u062A\u0648\u0631",Control:"\u06A9\u0646\u062A\u0631\u0644",Shift:"\u062A\u0628\u062F\u06CC\u0644",ZoomFactor:"\u0636\u0631\u06CC\u0628 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Renderer:"\u0627\u0631\u0627\u0626\u0647\u200C\u062F\u0647\u0646\u062F\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC",MPHandles:"\u0627\u062C\u0627\u0632\u0647\u200C\u0628\u062F\u0647 MathPlayer \u0645\u062F\u06CC\u0631\u06CC\u062A \u06A9\u0646\u062F:",MenuEvents:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0646\u0648",MouseEvents:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0648\u0634\u0648\u0627\u0631\u0647",MenuAndMouse:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0648 \u0645\u0646\u0648",FontPrefs:"\u062A\u0645\u0627\u0631\u0632\u0648\u0648\u06D5\u0644(\u062A\u0631\u062C\u06CC\u062D\u0627\u062A)\u0641\u0648\u0648\u0646\u062A",ForHTMLCSS:"\u0628\u0631\u0627\u06CC \u0627\u0686\u200C\u062A\u06CC\u200C\u0627\u0645\u200C\u0627\u0644-\u0633\u06CC\u200C\u0627\u0633\u200C\u0627\u0633:",Auto:"\u062E\u0648\u062F\u06A9\u0627\u0631",TeXLocal:"\u062A\u06A9 (\u0645\u062D\u0644\u06CC)",TeXWeb:"\u062A\u06A9 (\u0648\u0628)",TeXImage:"\u062A\u06A9 (\u0646\u06AF\u0627\u0631\u0647)",STIXLocal:"STIX (\u0645\u062D\u0644\u06CC)",STIXWeb:"STIX (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",AsanaMathWeb:"\u0631\u06CC\u0627\u0636\u06CC \u0622\u0633\u0627\u0646\u0627 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",GyrePagellaWeb:"\u06AF\u0631\u06CC \u067E\u0627\u06AF\u0644\u0627 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",GyreTermesWeb:"\u06AF\u06CC\u0631 \u062A\u0631\u0645\u0632 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",LatinModernWeb:"\u0644\u0627\u062A\u06CC\u0646 \u0645\u062F\u0631\u0646 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",NeoEulerWeb:"\u0646\u0626\u0648 \u0627\u0648\u06CC\u0644\u0631 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",ContextMenu:"\u0645\u0646\u0648 \u0645\u062A\u0646\u06CC",Browser:"\u0645\u0650\u0646\u0650\u06CC -\u06AF\u06C0\u0634\u062A\u0646",Scale:"\u0645\u0642\u06CC\u0627\u0633\u200C\u062F\u0647\u06CC \u0647\u0645\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A ...",Discoverable:"\u0628\u0631\u062C\u0633\u062A\u0647\u200C\u0634\u062F\u0646 \u0628\u0627 \u0642\u0631\u0627\u0631\u062F\u0627\u062F\u0646 \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0628\u0631 \u0631\u0648\u06CC\u0634",Locale:"\u0632\u0648\u0648\u0646",LoadLocale:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0627\u0632 \u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC ...",About:"\u062F\u0631\u0628\u0627\u0631\u0647\u0654 MathJax",Help:"\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",localTeXfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 \u0645\u062D\u0644\u06CC",webTeXfonts:"\u0628\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645 \u0648\u0628\u06CC \u062A\u06A9",imagefonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC",localSTIXfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX \u0645\u062D\u0644\u06CC",webSVGfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC SVG",genericfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0639\u0645\u0648\u0645\u06CC \u06CC\u0648\u0646\u06CC\u06A9\u062F",wofforotffonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC woff \u06CC\u0627 otf",eotffonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC eot",svgfonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC svg",WebkitNativeMMLWarning:"\u0628\u0647 \u0646\u0638\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathML \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F\u060C \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0631\u0641\u062A\u0646 \u0628\u0647 \u062D\u0627\u0644\u062A \u062E\u0631\u0648\u062C\u06CC MathML \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u06A9\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0645\u0648\u062C\u0648\u062F \u062F\u0631 \u0635\u0641\u062D\u0647 \u063A\u06CC\u0631\u0642\u0627\u0628\u0644 \u062E\u0648\u0627\u0646\u062F\u0646 \u0634\u0648\u0646\u062F.",MSIENativeMMLWarning:"\u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u0628\u0647 \u0627\u0641\u0632\u0627\u06CC\u0647\u0654 MathPlayer \u0628\u0631\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u062E\u0631\u0648\u062C\u06CC MathML \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u0627\u0633\u062A.",OperaNativeMMLWarning:"\u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0627\u067E\u0631\u0627 \u0627\u0632 MathML \u0645\u062D\u062F\u0648\u062F \u0627\u0633\u062A \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u0646\u062A\u062E\u0627\u0628 \u062E\u0631\u0648\u062C\u06CC MathML \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0627\u0639\u062B \u0646\u0645\u0627\u06CC\u0634 \u0636\u0639\u06CC\u0641 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u062A\u200C\u0647\u0627 \u0634\u0648\u062F.",SafariNativeMMLWarning:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0647\u0645\u0647\u0654 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0634\u062F\u0647 \u062A\u0648\u0633\u0637 MathJax \u0631\u0627 \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u0627\u062A \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062F\u0631\u0633\u062A\u06CC \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0646\u062F.",FirefoxNativeMMLWarning:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0647\u0645\u0647\u0654 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0634\u062F\u0647\u0654 MathML \u062A\u0648\u0633\u0637 MathJax \u0631\u0627 \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u062A\u200C\u0647\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062E\u0648\u0628\u06CC \u062F\u06CC\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",MSIESVGWarning:"SVG \u062F\u0631 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u0642\u0628\u0644 \u0627\u0632 \u0646\u0633\u062E\u0647\u0654 \u06F9 \u0622\u0646 \u06CC\u0627 \u0648\u0642\u062A\u06CC \u06A9\u0647 \u0634\u0628\u06CC\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0633\u062E\u0647\u200C\u0647\u0627\u06CC \u0642\u0628\u0644\u06CC \u0631\u0627 \u0645\u06CC\u200C\u06A9\u0646\u062F \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A. \u0627\u0646\u062A\u062E\u0627\u0628 \u062E\u0631\u0648\u062C\u06CC SVG \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0627\u0639\u062B \u0634\u0648\u062F \u06A9\u0647 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u062F\u0631\u0633\u062A\u06CC \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",LoadURL:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647 \u0627\u0632 \u0627\u06CC\u0646 \u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC:",BadURL:"\u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u0628\u0631\u0627\u06CC \u067E\u0631\u0648\u0646\u062F\u0647\u0654 \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u067E\u062A\u06CC \u0627\u0633\u062A \u06A9\u0647 \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647\u200C\u0627\u06CC MathJax \u0631\u0627 \u062A\u0639\u0631\u06CC\u0641 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u067E\u0631\u0648\u0646\u062F\u0647\u200C\u0647\u0627\u06CC \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A \u0628\u0627 \u067E\u0633\u0648\u0646\u062F '.js' \u062A\u0645\u0627\u0645 \u0645\u06CC\u200C\u0634\u0648\u0646\u062F.",BadData:"\u0634\u06A9\u0633\u062A \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647\u200C\u0627\u06CC \u0627\u0632 %1",SwitchAnyway:"(\u0628\u0631 \u00AB\u0628\u0627\u0634\u062F\u00BB \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F \u062A\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u0634\u0648\u062F \u0648 \u0628\u0631 \u00AB\u0644\u063A\u0648\u00BB \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F \u062A\u0627 \u0646\u0645\u0627\u06CC\u0634\u200C\u062F\u0647\u0646\u062F\u0647\u0654 \u0641\u0639\u0644\u06CC \u0627\u062F\u0627\u0645\u0647 \u06CC\u0627\u0628\u062F)",ScaleMath:"\u0645\u0642\u06CC\u0627\u0633 \u0647\u0645\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A (\u062F\u0631 \u0645\u0642\u0627\u06CC\u0633\u0647 \u0628\u0627 \u0645\u062A\u0646 \u0627\u0637\u0631\u0627\u0641) \u062A\u0648\u0633\u0637",NonZeroScale:"\u0645\u0642\u06CC\u0627\u0633 \u0646\u0628\u0627\u06CC\u062F \u0635\u0641\u0631 \u0628\u0627\u0634\u062F",PercentScale:"\u0645\u0642\u06CC\u0627\u0633 \u0628\u0627\u06CC\u062F \u062F\u0631\u0635\u062F\u06CC \u0628\u0627\u0634\u062F (\u0628\u0631\u0627\u06CC \u0646\u0645\u0648\u0646\u0647 \u06F1\u06F2\u06F0\u066A)",IE8warning:"\u0627\u06CC\u0646 \u0645\u0646\u0648\u06CC MathJax \u0648 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0631\u0627 \u063A\u06CC\u0631\u0641\u0639\u0627\u0644 \u0645\u06CC\u200C\u06A9\u0646\u062F \u0648\u0644\u06CC \u0634\u0645\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u0628\u0627 Alt-Click \u0628\u0631 \u0631\u0648\u06CC \u0639\u0628\u0627\u0631\u062A \u0645\u0646\u0648\u06CC MathJax \u0631\u0627 \u0628\u062F\u0633\u062A \u0622\u0648\u0631\u06CC\u062F.\n\n\u0648\u0627\u0642\u0639\u0627\u064B \u0645\u06CC\u200C\u062E\u0648\u0627\u0647\u06CC\u062F \u062A\u0646\u0638\u06CC\u0645\u0627\u062A MathPlayer \u0631\u0627 \u062A\u063A\u06CC\u06CC\u0631 \u062F\u0647\u06CC\u062F\u061F",IE9warning:"\u0645\u0646\u0648\u06CC \u0645\u062A\u0646\u06CC MathJax \u063A\u06CC\u0631\u0641\u0639\u0627\u0644 \u062E\u0648\u0627\u0647\u062F \u0634\u062F \u0648\u0644\u06CC \u0634\u0645\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0628\u0627 Alt-Click \u0628\u0631 \u0631\u0648\u06CC \u0639\u0628\u0627\u0631\u062A \u0645\u0646\u0648\u06CC MathJax \u0631\u0627 \u0628\u062F\u0633\u062A \u0628\u06CC\u0627\u0648\u0631\u06CC\u062F.",NoOriginalForm:"\u062D\u0627\u0644\u062A \u0627\u0648\u0644\u0628\u0647 \u0645\u0648\u062C\u0648\u062F \u0646\u06CC\u0633\u062A",Close:"\u0626\u0622\u0646\u06CC\u0627\u0626\u0646-\u0628\u0633\u062A\u0650\u0646",EqSource:"\u0645\u0646\u0628\u0639 \u0645\u0639\u0627\u062F\u0644\u0647\u0654 MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/MathMenu.js");
+MathJax.Localization.addTranslation("lki","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u0639\u0646\u0648\u0627\u0646",MathMLcode:"\u06A9\u062F MathML",OriginalMathML:"MathML \u0627\u0635\u0644\u06CC",TeXCommands:"\u062F\u0633\u062A\u0648\u0631\u0627\u062A \u062A\u06A9",AsciiMathInput:"\u0648\u0631\u0648\u062F\u06CC AsciiMathML",Original:"\u062D\u0627\u0644\u062A \u0627\u0635\u0644\u06CC",ErrorMessage:"\u067E\u06CC\u063A\u0648\u0645 \u062E\u0637\u0627",Annotation:"\u06CC\u0627\u062F\u062F\u0627\u0634\u062A/\u0648\u06CC\u0631\u0646\u06C6\u06CC\u0633\u0629",TeX:"\u062A\u06A9",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML \u0646\u06C6\u0645 \u062C\u0650\u06A9(\u0645\u062D\u062A\u0648\u0627)",OpenMath:"OpenMath",texHints:"\u0646\u0645\u0627\u06CC\u0634 \u0646\u06A9\u062A\u0647\u200C\u0647\u0627\u06CC \u062A\u06A9 \u062F\u0631 MathML",Settings:"\u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A",ZoomTrigger:"\u0645\u0627\u0634\u0647\u0654 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Hover:"\u0642\u0631\u0627\u0631\u062F\u0627\u062F\u0646 \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0628\u0631 \u0631\u0648\u06CC \u0622\u0646",Click:"\u06A9\u0650\u0644\u06CC\u06A9 \u06A9\u0629",DoubleClick:"\u062F\u0648 \u06AF\u0650\u0644/\u0628\u0627\u0631 \u06A9\u0644\u06CC\u06A9",NoZoom:"\u0628\u062F\u0648\u0646 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",TriggerRequires:"\u062A\u063A\u06CC\u06CC\u0631 \u062D\u0627\u0644\u062A \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u0627\u0633\u062A \u0628\u0647:",Option:"\u06AF\u0632\u06CC\u0646\u0647",Alt:"\u062F\u06AF\u0631\u0633\u0627\u0632",Command:"\u062F\u0633\u062A\u0648\u0631",Control:"\u06A9\u0646\u062A\u0631\u0644",Shift:"\u062A\u0628\u062F\u06CC\u0644",ZoomFactor:"\u0636\u0631\u06CC\u0628 \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC",Renderer:"\u0627\u0631\u0627\u0626\u0647\u200C\u062F\u0647\u0646\u062F\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC",MPHandles:"\u0627\u062C\u0627\u0632\u0647\u200C\u0628\u062F\u0647 MathPlayer \u0645\u062F\u06CC\u0631\u06CC\u062A \u06A9\u0646\u062F:",MenuEvents:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0646\u0648",MouseEvents:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0648\u0634\u0648\u0627\u0631\u0647",MenuAndMouse:"\u0631\u0648\u06CC\u062F\u0627\u062F\u0647\u0627\u06CC \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0648 \u0645\u0646\u0648",FontPrefs:"\u062A\u0645\u0627\u0631\u0632\u0648\u0648\u06D5\u0644(\u062A\u0631\u062C\u06CC\u062D\u0627\u062A)\u0641\u0648\u0648\u0646\u062A",ForHTMLCSS:"\u0628\u0631\u0627\u06CC \u0627\u0686\u200C\u062A\u06CC\u200C\u0627\u0645\u200C\u0627\u0644-\u0633\u06CC\u200C\u0627\u0633\u200C\u0627\u0633:",Auto:"\u062E\u0648\u062F\u06A9\u0627\u0631",TeXLocal:"\u062A\u06A9 (\u0645\u062D\u0644\u06CC)",TeXWeb:"\u062A\u06A9 (\u0648\u0628)",TeXImage:"\u062A\u06A9 (\u0646\u06AF\u0627\u0631\u0647)",STIXLocal:"STIX (\u0645\u062D\u0644\u06CC)",STIXWeb:"STIX (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",AsanaMathWeb:"\u0631\u06CC\u0627\u0636\u06CC \u0622\u0633\u0627\u0646\u0627 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",GyrePagellaWeb:"\u06AF\u0631\u06CC \u067E\u0627\u06AF\u0644\u0627 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",GyreTermesWeb:"\u06AF\u06CC\u0631 \u062A\u0631\u0645\u0632 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",LatinModernWeb:"\u0644\u0627\u062A\u06CC\u0646 \u0645\u062F\u0631\u0646 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",NeoEulerWeb:"\u0646\u0626\u0648 \u0627\u0648\u06CC\u0644\u0631 (\u0648\u0628\u200C\u0633\u0627\u06CC\u062A)",ContextMenu:"\u0645\u0646\u0648 \u0645\u062A\u0646\u06CC",Browser:"\u0645\u0650\u0646\u0650\u06CC -\u06AF\u06C0\u0634\u062A\u0646",Scale:"\u0645\u0642\u06CC\u0627\u0633\u200C\u062F\u0647\u06CC \u0647\u0645\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A ...",Discoverable:"\u0628\u0631\u062C\u0633\u062A\u0647\u200C\u0634\u062F\u0646 \u0628\u0627 \u0642\u0631\u0627\u0631\u062F\u0627\u062F\u0646 \u0645\u0648\u0634\u0648\u0627\u0631\u0647 \u0628\u0631 \u0631\u0648\u06CC\u0634",Locale:"\u0632\u0648\u0648\u0646",LoadLocale:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0627\u0632 \u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC ...",About:"\u062F\u0631\u0628\u0627\u0631\u0647\u0654 MathJax",Help:"\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",localTeXfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u06A9 \u0645\u062D\u0644\u06CC",webTeXfonts:"\u0628\u0627 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645 \u0648\u0628\u06CC \u062A\u06A9",imagefonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u062A\u0635\u0648\u06CC\u0631\u06CC",localSTIXfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC STIX \u0645\u062D\u0644\u06CC",webSVGfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC SVG",genericfonts:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0639\u0645\u0648\u0645\u06CC \u06CC\u0648\u0646\u06CC\u06A9\u062F",wofforotffonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC woff \u06CC\u0627 otf",eotffonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC eot",svgfonts:"\u0642\u0644\u0645\u200C\u0647\u0627\u06CC svg",WebkitNativeMMLWarning:"\u0628\u0647 \u0646\u0638\u0631 \u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathML \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F\u060C \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0631\u0641\u062A\u0646 \u0628\u0647 \u062D\u0627\u0644\u062A \u062E\u0631\u0648\u062C\u06CC MathML \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u06A9\u0647 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0645\u0648\u062C\u0648\u062F \u062F\u0631 \u0635\u0641\u062D\u0647 \u063A\u06CC\u0631\u0642\u0627\u0628\u0644 \u062E\u0648\u0627\u0646\u062F\u0646 \u0634\u0648\u0646\u062F.",MSIENativeMMLWarning:"\u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u0628\u0647 \u0627\u0641\u0632\u0627\u06CC\u0647\u0654 MathPlayer \u0628\u0631\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u062E\u0631\u0648\u062C\u06CC MathML \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u0627\u0633\u062A.",OperaNativeMMLWarning:"\u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0627\u067E\u0631\u0627 \u0627\u0632 MathML \u0645\u062D\u062F\u0648\u062F \u0627\u0633\u062A \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u0646\u062A\u062E\u0627\u0628 \u062E\u0631\u0648\u062C\u06CC MathML \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0627\u0639\u062B \u0646\u0645\u0627\u06CC\u0634 \u0636\u0639\u06CC\u0641 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u062A\u200C\u0647\u0627 \u0634\u0648\u062F.",SafariNativeMMLWarning:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0647\u0645\u0647\u0654 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0634\u062F\u0647 \u062A\u0648\u0633\u0637 MathJax \u0631\u0627 \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u0627\u062A \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062F\u0631\u0633\u062A\u06CC \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0646\u062F.",FirefoxNativeMMLWarning:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u062D\u0644\u06CC \u0647\u0645\u0647\u0654 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0634\u062F\u0647\u0654 MathML \u062A\u0648\u0633\u0637 MathJax \u0631\u0627 \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0639\u0628\u0627\u0631\u062A\u200C\u0647\u0627 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0647 \u062E\u0648\u0628\u06CC \u062F\u06CC\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",MSIESVGWarning:"SVG \u062F\u0631 \u0627\u06CC\u0646\u062A\u0631\u0646\u062A \u0627\u06A9\u0633\u067E\u0644\u0648\u0631\u0631 \u0642\u0628\u0644 \u0627\u0632 \u0646\u0633\u062E\u0647\u0654 \u06F9 \u0622\u0646 \u06CC\u0627 \u0648\u0642\u062A\u06CC \u06A9\u0647 \u0634\u0628\u06CC\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0633\u062E\u0647\u200C\u0647\u0627\u06CC \u0642\u0628\u0644\u06CC \u0631\u0627 \u0645\u06CC\u200C\u06A9\u0646\u062F \u067E\u06CC\u0627\u062F\u0647\u200C\u0633\u0627\u0632\u06CC \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A. \u0627\u0646\u062A\u062E\u0627\u0628 \u062E\u0631\u0648\u062C\u06CC SVG \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0628\u0627\u0639\u062B \u0634\u0648\u062F \u06A9\u0647 \u0628\u0639\u0636\u06CC \u0627\u0632 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u062F\u0631\u0633\u062A\u06CC \u0646\u0645\u0627\u06CC\u0634 \u062F\u0627\u062F\u0647 \u0646\u0634\u0648\u0646\u062F.",LoadURL:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647 \u0627\u0632 \u0627\u06CC\u0646 \u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC:",BadURL:"\u0646\u0634\u0627\u0646\u06CC \u0627\u06CC\u0646\u062A\u0631\u0646\u062A\u06CC \u0628\u0631\u0627\u06CC \u067E\u0631\u0648\u0646\u062F\u0647\u0654 \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u067E\u062A\u06CC \u0627\u0633\u062A \u06A9\u0647 \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647\u200C\u0627\u06CC MathJax \u0631\u0627 \u062A\u0639\u0631\u06CC\u0641 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u067E\u0631\u0648\u0646\u062F\u0647\u200C\u0647\u0627\u06CC \u062C\u0627\u0648\u0627\u0627\u0633\u06A9\u0631\u06CC\u067E\u062A \u0628\u0627 \u067E\u0633\u0648\u0646\u062F '.js' \u062A\u0645\u0627\u0645 \u0645\u06CC\u200C\u0634\u0648\u0646\u062F.",BadData:"\u0634\u06A9\u0633\u062A \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u062F\u0627\u062F\u0647\u200C\u0647\u0627\u06CC \u062A\u0631\u062C\u0645\u0647\u200C\u0627\u06CC \u0627\u0632 %1",SwitchAnyway:"(\u0628\u0631 \u00AB\u0628\u0627\u0634\u062F\u00BB \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F \u062A\u0627 \u0627\u0646\u062A\u062E\u0627\u0628 \u0634\u0648\u062F \u0648 \u0628\u0631 \u00AB\u0644\u063A\u0648\u00BB \u0641\u0634\u0627\u0631 \u062F\u0647\u06CC\u062F \u062A\u0627 \u0646\u0645\u0627\u06CC\u0634\u200C\u062F\u0647\u0646\u062F\u0647\u0654 \u0641\u0639\u0644\u06CC \u0627\u062F\u0627\u0645\u0647 \u06CC\u0627\u0628\u062F)",ScaleMath:"\u0645\u0642\u06CC\u0627\u0633 \u0647\u0645\u0647\u0654 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A (\u062F\u0631 \u0645\u0642\u0627\u06CC\u0633\u0647 \u0628\u0627 \u0645\u062A\u0646 \u0627\u0637\u0631\u0627\u0641) \u062A\u0648\u0633\u0637",NonZeroScale:"\u0645\u0642\u06CC\u0627\u0633 \u0646\u0628\u0627\u06CC\u062F \u0635\u0641\u0631 \u0628\u0627\u0634\u062F",PercentScale:"\u0645\u0642\u06CC\u0627\u0633 \u0628\u0627\u06CC\u062F \u062F\u0631\u0635\u062F\u06CC \u0628\u0627\u0634\u062F (\u0628\u0631\u0627\u06CC \u0646\u0645\u0648\u0646\u0647 \u06F1\u06F2\u06F0\u066A)",IE8warning:"\u0627\u06CC\u0646 \u0645\u0646\u0648\u06CC MathJax \u0648 \u0642\u0627\u0628\u0644\u06CC\u062A\u200C\u0647\u0627\u06CC \u06A9\u0648\u0686\u06A9/\u0628\u0632\u0631\u06AF\u200C\u0646\u0645\u0627\u06CC\u06CC \u0631\u0627 \u063A\u06CC\u0631\u0641\u0639\u0627\u0644 \u0645\u06CC\u200C\u06A9\u0646\u062F \u0648\u0644\u06CC \u0634\u0645\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u0628\u0627 Alt-Click \u0628\u0631 \u0631\u0648\u06CC \u0639\u0628\u0627\u0631\u062A \u0645\u0646\u0648\u06CC MathJax \u0631\u0627 \u0628\u062F\u0633\u062A \u0622\u0648\u0631\u06CC\u062F.\n\n\u0648\u0627\u0642\u0639\u0627\u064B \u0645\u06CC\u200C\u062E\u0648\u0627\u0647\u06CC\u062F \u062A\u0646\u0638\u06CC\u0645\u0627\u062A MathPlayer \u0631\u0627 \u062A\u063A\u06CC\u06CC\u0631 \u062F\u0647\u06CC\u062F\u061F",IE9warning:"\u0645\u0646\u0648\u06CC \u0645\u062A\u0646\u06CC MathJax \u063A\u06CC\u0631\u0641\u0639\u0627\u0644 \u062E\u0648\u0627\u0647\u062F \u0634\u062F \u0648\u0644\u06CC \u0634\u0645\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u0628\u0627 Alt-Click \u0628\u0631 \u0631\u0648\u06CC \u0639\u0628\u0627\u0631\u062A \u0645\u0646\u0648\u06CC MathJax \u0631\u0627 \u0628\u062F\u0633\u062A \u0628\u06CC\u0627\u0648\u0631\u06CC\u062F.",NoOriginalForm:"\u062D\u0627\u0644\u062A \u0627\u0648\u0644\u0628\u0647 \u0645\u0648\u062C\u0648\u062F \u0646\u06CC\u0633\u062A",Close:"\u0626\u0622\u0646\u06CC\u0627\u0626\u0646-\u0628\u0633\u062A\u0650\u0646",EqSource:"\u0645\u0646\u0628\u0639 \u0645\u0639\u0627\u062F\u0644\u0647\u0654 MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/MathMenu.js");
diff --git a/localization/lki/TeX.js b/localization/lki/TeX.js
index 56cf157058..1458f81d8a 100644
--- a/localization/lki/TeX.js
+++ b/localization/lki/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lki/TeX.js
+ *  /MathJax-v2/localization/lki/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lki","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647",ExtraCloseMissingOpen:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u0647 \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632",MissingLeftExtraRight:"\u0641\u0642\u062F\u0627\u0646 \u200E\\left \u06CC\u0627 \u200E\\right \u0627\u0636\u0627\u0641\u06CC",MissingScript:"\u0641\u0642\u062F\u0627\u0646 \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0627\u0644\u0627\u0645\u062A\u0646 \u06CC\u0627 \u0632\u06CC\u0631\u0645\u062A\u0646",ExtraLeftMissingRight:"\u200E\\left \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u200E\\right",Misplaced:"%1 \u0646\u0627\u0628\u062C\u0627",MissingOpenForSub:"\u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0628\u0631\u0627\u06CC \u0632\u06CC\u0631\u0645\u062A\u0646",MissingOpenForSup:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0628\u0627\u0644\u0627\u0645\u062A\u0646",AmbiguousUseOf:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0645\u0628\u0647\u0645 \u0627\u0632 \u200E%1",EnvBadEnd:"\u200E\\begin{%1}\u200E \u067E\u0627\u06CC\u0627\u0646\u200C\u06CC\u0627\u0641\u062A\u0647 \u0628\u0627 \u200E\\end{%2}\u200E",EnvMissingEnd:"\u200E\\end{%1}\u200E \u06AF\u0645\u200C\u0634\u062F\u0647",MissingBoxFor:"\u062C\u0639\u0628\u0647\u0654 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",MissingCloseBrace:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0645\u0641\u0642\u0648\u062F",UndefinedControlSequence:"\u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644 \u062A\u0639\u0631\u06CC\u0641\u200C\u0646\u0634\u062F\u0647\u0654 %1",DoubleExponent:"\u062A\u0648\u0627\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleSubscripts:"\u0632\u06CC\u0631\u0645\u062A\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleExponentPrime:"\u062A\u0648\u0627\u0646 \u062F\u0648 \u0645\u0648\u062C\u0628 \u062A\u0648\u0627\u0646 \u0645\u0636\u0627\u0639\u0641 \u0634\u062F: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",CantUseHash1:"\u0634\u0645\u0627 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u00AB\u0645\u0627\u06A9\u0631\u0648 \u0646\u0648\u06CC\u0633\u0647\u0654 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 #\u00BB \u062F\u0631 \u062D\u0627\u0644\u062A \u0631\u06CC\u0627\u0636\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",MisplacedMiddle:"\u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0631\u0648\u0646 \u200E\\left \u0648 \u200E\\right \u0646\u0648\u0634\u062A\u0647\u200C\u0634\u0648\u062F",MisplacedLimits:"\u200E%1 \u0641\u0642\u0637 \u062F\u0631 \u0639\u0645\u0644\u06AF\u0631\u0647\u0627 \u0645\u062C\u0627\u0632 \u0627\u0633\u062A",MisplacedMoveRoot:"\u200E%1 \u062A\u0646\u0647\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u062F\u0631\u0648\u0646 \u06CC\u06A9 \u0631\u06CC\u0634\u0647 \u0638\u0627\u0647\u0631 \u0634\u0648\u062F",MultipleCommand:"\u200E%1 \u0686\u0646\u062F\u06AF\u0627\u0646\u0647",IntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u0628\u0627\u0634\u062F",NotMathMLToken:"%1 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0646\u0634\u0627\u0646 \u0646\u06CC\u0633\u062A",InvalidMathMLAttr:"\u0648\u06CC\u0698\u06AF\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631 MathML: %1",UnknownAttrForElement:"%1 \u06CC\u06A9 \u0648\u06CC\u0698\u06AF\u06CC \u0634\u0646\u0627\u062E\u062A\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %2 \u0646\u06CC\u0633\u062A",MaxMacroSub1:"\u0627\u0632 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u0634\u0645\u0627\u0631 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u0647\u0627\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",MaxMacroSub2:"\u0627\u0632 \u0634\u0645\u0627\u0631 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u062A\u0639\u062F\u0627\u062F \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0645\u062D\u06CC\u0637 \u0644\u06CC\u062A\u06A9 \u0628\u0627\u0632\u0634\u062A\u06AF\u06CC \u0645\u0648\u062C\u0648\u062F \u0627\u0633\u062A\u061F",MissingArgFor:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",ExtraAlignTab:"\u0628\u0631\u06AF\u0647\u0654 \u0686\u06CC\u0646\u0634 \u0627\u0636\u0627\u0641\u06CC \u062F\u0631 \u0645\u062A\u0646 \u200E\\cases",BracketMustBeDimension:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0628\u0639\u062F \u0628\u0627\u0634\u062F",InvalidEnv:" \u0646\u0627\u0645 \u0645\u062D\u06CC\u0637 \u0646\u0627\u0645\u0639\u062A\u0628\u0631 \u00AB%1\u00BB",UnknownEnv:"\u0645\u062D\u06CC\u0637 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u00AB%1\u00BB",ExtraCloseLooking:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u06CC \u0647\u0646\u06AF\u0627\u0645 \u062C\u0633\u062A\u062C\u0648\u06CC %1",MissingCloseBracket:"\u00AB]\u00BB \u0628\u0633\u062A\u0647 \u0628\u0631\u0627\u06CC \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MissingOrUnrecognizedDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647 \u06AF\u0645\u200C\u0634\u062F\u0647 \u06CC\u0627 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u0628\u0631\u0627\u06CC \u200E%1",MissingDimOrUnits:"\u0627\u0628\u0639\u0627\u062F \u06CC\u0627 \u0648\u0627\u062D\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u200E%1",TokenNotFoundForCommand:"%1 \u0628\u0631\u0627\u06CC %2 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MathNotTerminated:"\u0631\u06CC\u0627\u0636\u06CC \u062F\u0631 \u062C\u0639\u0628\u0647\u0654 \u0645\u062A\u0646 \u067E\u0627\u06CC\u0627\u0646 \u0646\u06CC\u0627\u0641\u062A\u0647\u200C\u0627\u0633\u062A",IllegalMacroParam:"\u0627\u0631\u062C\u0627\u0639 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u0645\u0627\u06A9\u0631\u0648\u06CC \u0646\u0627\u0645\u062C\u0627\u0632",MaxBufferSize:"\u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u06CC\u0627\u0646\u06AF\u06CC\u0631 \u062F\u0627\u062E\u0644\u06CC MathJax \u06AF\u0630\u0634\u062A\u0647 \u0634\u062F\u0647\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",CommandNotAllowedInEnv:"\u200E%1 \u062F\u0631 \u0645\u062D\u06CC\u0637 \u200E%2 \u0645\u062C\u0627\u0632 \u0646\u06CC\u0633\u062A",MultipleLabel:"\u0628\u0631\u0686\u0633\u067E \u00AB%1\u00BB \u0686\u0646\u062F\u0628\u0627\u0631 \u062A\u0639\u0631\u06CC\u0641\u200C\u0634\u062F\u0647",CommandAtTheBeginingOfLine:"%1 \u0628\u0627\u06CC\u062F \u062F\u0631 \u0634\u0631\u0648\u0639 \u062E\u0637 \u0628\u06CC\u0627\u06CC\u062F",IllegalAlign:"\u0686\u06CC\u0646\u0634 \u0645\u0634\u062E\u0635\u200C\u0634\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u062F\u0631 \u200E%1",BadMathStyleFor:"\u0633\u0628\u06A9 \u0628\u062F \u0631\u06CC\u0627\u0636\u06CC \u0628\u0631\u0627\u06CC \u200E%1",PositiveIntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0647 \u200E%1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u0639\u062F\u062F \u0645\u062B\u0628\u062A \u0628\u0627\u0634\u062F",ErroneousNestingEq:"\u0633\u0627\u062E\u062A\u0627\u0631\u0647\u0627\u06CC \u0627\u0634\u062A\u0628\u0627\u0647 \u062A\u0648\u062F\u0631\u062A\u0648\u06CC \u0645\u0639\u0627\u062F\u0644\u0647",MultlineRowsOneCol:"\u0633\u0637\u0631 \u062F\u0631\u0648\u0646 \u0645\u062D\u06CC\u0637 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0642\u06CC\u0642\u0627\u064B \u06CC\u06A9 \u0633\u062A\u0648\u0646 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F",MultipleBBoxProperty:"%1 \u062F\u0648\u0628\u0627\u0631 \u062F\u0631 \u200E%2 \u062A\u0639\u0631\u06CC\u0641 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",InvalidBBoxProperty:"'%1' \u0628\u0647 \u0646\u0638\u0631 \u06CC\u06A9 \u0631\u0646\u06AF\u060C \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0628\u0627\u0644\u0634\u062A\u06A9 \u06CC\u0627 \u0633\u0628\u06A9 \u0628\u0647 \u0646\u0638\u0631 \u0646\u0645\u06CC\u200C\u0631\u0633\u062F",ExtraEndMissingBegin:"\u200E%1 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \\begingroup \u06AF\u0645\u200C\u0634\u062F\u0647",GlobalNotFollowedBy:"\u200E%1 \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u200E\\let\u060C \u200E\\def \u06CC\u0627 \u200E\\newcommand \u0646\u06CC\u0627\u0645\u062F\u0647\u200C\u0627\u0633\u062A",UndefinedColorModel:"\u0645\u062F\u0644 \u0631\u0646\u06AF\u06CC '%1' \u062A\u0639\u0631\u06CC\u0641 \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A",ModelArg1:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u06F3 \u0639\u062F\u062F \u0627\u0633\u062A",InvalidDecimalNumber:"\u0639\u062F\u062F \u0627\u0639\u0634\u0627\u0631\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631",ModelArg2:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u0628\u06CC\u0646 %2 \u0648 %3 \u0628\u0627\u0634\u062F",InvalidNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u0639\u062A\u0628\u0631",NewextarrowArg1:"\u0646\u0634\u0627\u0648\u0646\u062F \u0627\u0648\u0644 \u0628\u0647 \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0646\u0627\u0645 \u06A9\u0646\u062A\u0631\u0644\u06CC \u062F\u0646\u0628\u0627\u0644\u0647 \u0628\u0627\u0634\u062F",NewextarrowArg2:"\u0646\u0634\u0646\u0627\u0648\u0646\u062F \u062F\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u062F\u0648 \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u062C\u062F\u0627 \u0634\u062F\u0647 \u0628\u0627 \u06CC\u06A9 \u06A9\u0627\u0645\u0627 \u0628\u0627\u0634\u062F",NewextarrowArg3:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0633\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u06CC\u06A9 \u0646\u0648\u06CC\u0633\u0647\u0654 \u06CC\u0648\u0646\u06CC\u06A9\u062F \u0628\u0627\u0634\u062F",NoClosingChar:"%1 \u0628\u0633\u062A\u0647 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",IllegalControlSequenceName:"\u0646\u0627\u0645 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u0631\u0627\u06CC \u200E%1 \u0646\u0627\u0645\u062C\u0627\u0632",IllegalParamNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u062C\u0627\u0632 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u062F\u0631 \u200E%1 \u0645\u0634\u062E\u0635 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",MissingCS:"\u200E%1 \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u06CC\u0627\u06CC\u062F",CantUseHash2:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u0627\u0632 # \u062F\u0631 \u0627\u0644\u06AF\u0648 \u0628\u0631\u0627\u06CC %1",SequentialParam:"\u067E\u0627\u0631\u0627\u0645\u062A\u0631\u0647\u0627 \u0628\u0631\u0627\u06CC %1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u0639\u062F\u062F\u06CC \u0628\u0627\u0634\u062F",MissingReplacementString:"\u0631\u0634\u062A\u0647\u0654 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u062A\u0639\u0631\u06CC\u0641 \u200E%1",MismatchUseDef:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u200E%1 \u0628\u0627 \u062A\u0639\u0631\u06CC\u0641 \u0622\u0646 \u062A\u0637\u0628\u06CC\u0642 \u0646\u062F\u0627\u0631\u062F",RunawayArgument:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0641\u0631\u0627\u0631 \u0628\u0631\u0627\u06CC \u200E%1\u061F",NoClosingDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647\u0654 \u0628\u0633\u062A\u0646 \u0628\u0631\u0627\u06CC \u200E%1 \u067E\u06CC\u062F\u0627 \u0646\u0634\u062F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/TeX.js");
+MathJax.Localization.addTranslation("lki","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647",ExtraCloseMissingOpen:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u0647 \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632",MissingLeftExtraRight:"\u0641\u0642\u062F\u0627\u0646 \u200E\\left \u06CC\u0627 \u200E\\right \u0627\u0636\u0627\u0641\u06CC",MissingScript:"\u0641\u0642\u062F\u0627\u0646 \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0627\u0644\u0627\u0645\u062A\u0646 \u06CC\u0627 \u0632\u06CC\u0631\u0645\u062A\u0646",ExtraLeftMissingRight:"\u200E\\left \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u200E\\right",Misplaced:"%1 \u0646\u0627\u0628\u062C\u0627",MissingOpenForSub:"\u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0628\u0631\u0627\u06CC \u0632\u06CC\u0631\u0645\u062A\u0646",MissingOpenForSup:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u0628\u0627\u0644\u0627\u0645\u062A\u0646",AmbiguousUseOf:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0645\u0628\u0647\u0645 \u0627\u0632 \u200E%1",EnvBadEnd:"\u200E\\begin{%1}\u200E \u067E\u0627\u06CC\u0627\u0646\u200C\u06CC\u0627\u0641\u062A\u0647 \u0628\u0627 \u200E\\end{%2}\u200E",EnvMissingEnd:"\u200E\\end{%1}\u200E \u06AF\u0645\u200C\u0634\u062F\u0647",MissingBoxFor:"\u062C\u0639\u0628\u0647\u0654 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",MissingCloseBrace:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0645\u0641\u0642\u0648\u062F",UndefinedControlSequence:"\u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644 \u062A\u0639\u0631\u06CC\u0641\u200C\u0646\u0634\u062F\u0647\u0654 %1",DoubleExponent:"\u062A\u0648\u0627\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleSubscripts:"\u0632\u06CC\u0631\u0645\u062A\u0646 \u062F\u0648\u0645: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",DoubleExponentPrime:"\u062A\u0648\u0627\u0646 \u062F\u0648 \u0645\u0648\u062C\u0628 \u062A\u0648\u0627\u0646 \u0645\u0636\u0627\u0639\u0641 \u0634\u062F: \u0627\u0632 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0631\u0627\u06CC \u0631\u0648\u0634\u0646\u200C\u0633\u0627\u0632\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",CantUseHash1:"\u0634\u0645\u0627 \u0646\u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u06CC\u062F \u00AB\u0645\u0627\u06A9\u0631\u0648 \u0646\u0648\u06CC\u0633\u0647\u0654 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 #\u00BB \u062F\u0631 \u062D\u0627\u0644\u062A \u0631\u06CC\u0627\u0636\u06CC \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u06A9\u0646\u06CC\u062F",MisplacedMiddle:"\u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0631\u0648\u0646 \u200E\\left \u0648 \u200E\\right \u0646\u0648\u0634\u062A\u0647\u200C\u0634\u0648\u062F",MisplacedLimits:"\u200E%1 \u0641\u0642\u0637 \u062F\u0631 \u0639\u0645\u0644\u06AF\u0631\u0647\u0627 \u0645\u062C\u0627\u0632 \u0627\u0633\u062A",MisplacedMoveRoot:"\u200E%1 \u062A\u0646\u0647\u0627 \u0645\u06CC\u200C\u062A\u0648\u0627\u0646\u062F \u062F\u0631\u0648\u0646 \u06CC\u06A9 \u0631\u06CC\u0634\u0647 \u0638\u0627\u0647\u0631 \u0634\u0648\u062F",MultipleCommand:"\u200E%1 \u0686\u0646\u062F\u06AF\u0627\u0646\u0647",IntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u0628\u0627\u0634\u062F",NotMathMLToken:"%1 \u06CC\u06A9 \u0639\u0646\u0635\u0631 \u0646\u0634\u0627\u0646 \u0646\u06CC\u0633\u062A",InvalidMathMLAttr:"\u0648\u06CC\u0698\u06AF\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631 MathML: %1",UnknownAttrForElement:"%1 \u06CC\u06A9 \u0648\u06CC\u0698\u06AF\u06CC \u0634\u0646\u0627\u062E\u062A\u0647\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %2 \u0646\u06CC\u0633\u062A",MaxMacroSub1:"\u0627\u0632 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u0634\u0645\u0627\u0631 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u0647\u0627\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",MaxMacroSub2:"\u0627\u0632 \u0634\u0645\u0627\u0631 \u0628\u06CC\u0634\u06CC\u0646\u0647\u0654 \u062A\u0639\u062F\u0627\u062F \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646\u06CC MathJax \u0639\u0628\u0648\u0631 \u0634\u062F\u0647\u200C\u0627\u0633\u062A\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0645\u062D\u06CC\u0637 \u0644\u06CC\u062A\u06A9 \u0628\u0627\u0632\u0634\u062A\u06AF\u06CC \u0645\u0648\u062C\u0648\u062F \u0627\u0633\u062A\u061F",MissingArgFor:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC %1",ExtraAlignTab:"\u0628\u0631\u06AF\u0647\u0654 \u0686\u06CC\u0646\u0634 \u0627\u0636\u0627\u0641\u06CC \u062F\u0631 \u0645\u062A\u0646 \u200E\\cases",BracketMustBeDimension:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0628\u0639\u062F \u0628\u0627\u0634\u062F",InvalidEnv:" \u0646\u0627\u0645 \u0645\u062D\u06CC\u0637 \u0646\u0627\u0645\u0639\u062A\u0628\u0631 \u00AB%1\u00BB",UnknownEnv:"\u0645\u062D\u06CC\u0637 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u00AB%1\u00BB",ExtraCloseLooking:"\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647\u0654 \u0627\u0636\u0627\u0641\u06CC \u0647\u0646\u06AF\u0627\u0645 \u062C\u0633\u062A\u062C\u0648\u06CC %1",MissingCloseBracket:"\u00AB]\u00BB \u0628\u0633\u062A\u0647 \u0628\u0631\u0627\u06CC \u0646\u0634\u0627\u0646\u0648\u0646\u062F \u200E%1 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MissingOrUnrecognizedDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647 \u06AF\u0645\u200C\u0634\u062F\u0647 \u06CC\u0627 \u0646\u0627\u0634\u0646\u0627\u062E\u062A\u0647 \u0628\u0631\u0627\u06CC \u200E%1",MissingDimOrUnits:"\u0627\u0628\u0639\u0627\u062F \u06CC\u0627 \u0648\u0627\u062D\u062F \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u200E%1",TokenNotFoundForCommand:"%1 \u0628\u0631\u0627\u06CC %2 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",MathNotTerminated:"\u0631\u06CC\u0627\u0636\u06CC \u062F\u0631 \u062C\u0639\u0628\u0647\u0654 \u0645\u062A\u0646 \u067E\u0627\u06CC\u0627\u0646 \u0646\u06CC\u0627\u0641\u062A\u0647\u200C\u0627\u0633\u062A",IllegalMacroParam:"\u0627\u0631\u062C\u0627\u0639 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u0645\u0627\u06A9\u0631\u0648\u06CC \u0646\u0627\u0645\u062C\u0627\u0632",MaxBufferSize:"\u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0645\u06CC\u0627\u0646\u06AF\u06CC\u0631 \u062F\u0627\u062E\u0644\u06CC MathJax \u06AF\u0630\u0634\u062A\u0647 \u0634\u062F\u0647\u061B \u0622\u06CC\u0627 \u06CC\u06A9 \u0641\u0631\u0627\u062E\u0648\u0627\u0646\u06CC \u0645\u0627\u06A9\u0631\u0648\u06CC \u0628\u0627\u0632\u06AF\u0634\u062A\u06CC \u0648\u062C\u0648\u062F \u062F\u0627\u0631\u062F\u061F",CommandNotAllowedInEnv:"\u200E%1 \u062F\u0631 \u0645\u062D\u06CC\u0637 \u200E%2 \u0645\u062C\u0627\u0632 \u0646\u06CC\u0633\u062A",MultipleLabel:"\u0628\u0631\u0686\u0633\u067E \u00AB%1\u00BB \u0686\u0646\u062F\u0628\u0627\u0631 \u062A\u0639\u0631\u06CC\u0641\u200C\u0634\u062F\u0647",CommandAtTheBeginingOfLine:"%1 \u0628\u0627\u06CC\u062F \u062F\u0631 \u0634\u0631\u0648\u0639 \u062E\u0637 \u0628\u06CC\u0627\u06CC\u062F",IllegalAlign:"\u0686\u06CC\u0646\u0634 \u0645\u0634\u062E\u0635\u200C\u0634\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u062F\u0631 \u200E%1",BadMathStyleFor:"\u0633\u0628\u06A9 \u0628\u062F \u0631\u06CC\u0627\u0636\u06CC \u0628\u0631\u0627\u06CC \u200E%1",PositiveIntegerArg:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0628\u0647 \u200E%1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u0639\u062F\u062F \u0645\u062B\u0628\u062A \u0628\u0627\u0634\u062F",ErroneousNestingEq:"\u0633\u0627\u062E\u062A\u0627\u0631\u0647\u0627\u06CC \u0627\u0634\u062A\u0628\u0627\u0647 \u062A\u0648\u062F\u0631\u062A\u0648\u06CC \u0645\u0639\u0627\u062F\u0644\u0647",MultlineRowsOneCol:"\u0633\u0637\u0631 \u062F\u0631\u0648\u0646 \u0645\u062D\u06CC\u0637 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u062F\u0642\u06CC\u0642\u0627\u064B \u06CC\u06A9 \u0633\u062A\u0648\u0646 \u062F\u0627\u0634\u062A\u0647 \u0628\u0627\u0634\u062F",MultipleBBoxProperty:"%1 \u062F\u0648\u0628\u0627\u0631 \u062F\u0631 \u200E%2 \u062A\u0639\u0631\u06CC\u0641 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",InvalidBBoxProperty:"'%1' \u0628\u0647 \u0646\u0638\u0631 \u06CC\u06A9 \u0631\u0646\u06AF\u060C \u0627\u0646\u062F\u0627\u0632\u0647\u0654 \u0628\u0627\u0644\u0634\u062A\u06A9 \u06CC\u0627 \u0633\u0628\u06A9 \u0628\u0647 \u0646\u0638\u0631 \u0646\u0645\u06CC\u200C\u0631\u0633\u062F",ExtraEndMissingBegin:"\u200E%1 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \\begingroup \u06AF\u0645\u200C\u0634\u062F\u0647",GlobalNotFollowedBy:"\u200E%1 \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u200E\\let\u060C \u200E\\def \u06CC\u0627 \u200E\\newcommand \u0646\u06CC\u0627\u0645\u062F\u0647\u200C\u0627\u0633\u062A",UndefinedColorModel:"\u0645\u062F\u0644 \u0631\u0646\u06AF\u06CC '%1' \u062A\u0639\u0631\u06CC\u0641 \u0646\u0634\u062F\u0647\u200C\u0627\u0633\u062A",ModelArg1:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0646\u06CC\u0627\u0632\u0645\u0646\u062F \u06F3 \u0639\u062F\u062F \u0627\u0633\u062A",InvalidDecimalNumber:"\u0639\u062F\u062F \u0627\u0639\u0634\u0627\u0631\u06CC \u0646\u0627\u0645\u0639\u062A\u0628\u0631",ModelArg2:"\u0645\u0642\u0627\u062F\u06CC\u0631 \u0631\u0646\u06AF\u06CC \u0628\u0631\u0627\u06CC \u0645\u062F\u0644 %1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u0628\u06CC\u0646 %2 \u0648 %3 \u0628\u0627\u0634\u062F",InvalidNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u0639\u062A\u0628\u0631",NewextarrowArg1:"\u0646\u0634\u0627\u0648\u0646\u062F \u0627\u0648\u0644 \u0628\u0647 \u200E%1 \u0645\u06CC\u200C\u0628\u0627\u06CC\u0633\u062A \u06CC\u06A9 \u0646\u0627\u0645 \u06A9\u0646\u062A\u0631\u0644\u06CC \u062F\u0646\u0628\u0627\u0644\u0647 \u0628\u0627\u0634\u062F",NewextarrowArg2:"\u0646\u0634\u0646\u0627\u0648\u0646\u062F \u062F\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u062F\u0648 \u0639\u062F\u062F \u0635\u062D\u06CC\u062D \u062C\u062F\u0627 \u0634\u062F\u0647 \u0628\u0627 \u06CC\u06A9 \u06A9\u0627\u0645\u0627 \u0628\u0627\u0634\u062F",NewextarrowArg3:"\u0646\u0634\u0627\u0646\u0648\u0646\u062F \u0633\u0648\u0645 \u200E%1 \u0628\u0627\u06CC\u062F \u0639\u062F\u062F \u06CC\u06A9 \u0646\u0648\u06CC\u0633\u0647\u0654 \u06CC\u0648\u0646\u06CC\u06A9\u062F \u0628\u0627\u0634\u062F",NoClosingChar:"%1 \u0628\u0633\u062A\u0647 \u06CC\u0627\u0641\u062A \u0646\u0634\u062F",IllegalControlSequenceName:"\u0646\u0627\u0645 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u0631\u0627\u06CC \u200E%1 \u0646\u0627\u0645\u062C\u0627\u0632",IllegalParamNumber:"\u0639\u062F\u062F \u0646\u0627\u0645\u062C\u0627\u0632 \u067E\u0627\u0631\u0627\u0645\u062A\u0631 \u062F\u0631 \u200E%1 \u0645\u0634\u062E\u0635 \u0634\u062F\u0647\u200C\u0627\u0633\u062A",MissingCS:"\u200E%1 \u0628\u0627\u06CC\u062F \u0628\u0647 \u062F\u0646\u0628\u0627\u0644 \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u06A9\u0646\u062A\u0631\u0644\u06CC \u0628\u06CC\u0627\u06CC\u062F",CantUseHash2:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647\u0654 \u0646\u0627\u0645\u062C\u0627\u0632 \u0627\u0632 # \u062F\u0631 \u0627\u0644\u06AF\u0648 \u0628\u0631\u0627\u06CC %1",SequentialParam:"\u067E\u0627\u0631\u0627\u0645\u062A\u0631\u0647\u0627 \u0628\u0631\u0627\u06CC %1 \u0628\u0627\u06CC\u062F \u06CC\u06A9 \u062F\u0646\u0628\u0627\u0644\u0647\u0654 \u0639\u062F\u062F\u06CC \u0628\u0627\u0634\u062F",MissingReplacementString:"\u0631\u0634\u062A\u0647\u0654 \u062C\u0627\u06CC\u06AF\u0632\u06CC\u0646 \u06AF\u0645\u200C\u0634\u062F\u0647 \u0628\u0631\u0627\u06CC \u062A\u0639\u0631\u06CC\u0641 \u200E%1",MismatchUseDef:"\u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0627\u0632 \u200E%1 \u0628\u0627 \u062A\u0639\u0631\u06CC\u0641 \u0622\u0646 \u062A\u0637\u0628\u06CC\u0642 \u0646\u062F\u0627\u0631\u062F",RunawayArgument:"\u0622\u0631\u06AF\u0648\u0645\u0627\u0646 \u0641\u0631\u0627\u0631 \u0628\u0631\u0627\u06CC \u200E%1\u061F",NoClosingDelim:"\u062C\u062F\u0627\u06A9\u0646\u0646\u062F\u0647\u0654 \u0628\u0633\u062A\u0646 \u0628\u0631\u0627\u06CC \u200E%1 \u067E\u06CC\u062F\u0627 \u0646\u0634\u062F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/TeX.js");
diff --git a/localization/lki/lki.js b/localization/lki/lki.js
index c35448c8bc..0352557ee1 100644
--- a/localization/lki/lki.js
+++ b/localization/lki/lki.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lki/lki.js
+ *  /MathJax-v2/localization/lki/lki.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lki",null,{menuTitle:"\u0644\u06D5\u06A9\u06CC",fontDirection:"rtl",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"\u062E\u0637\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC",MathError:"\u062E\u0637\u0627 \u0631\u06CC\u0627\u0636\u06CC",LoadFile:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC %1",Loading:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC",LoadFailed:"\u062E\u0637\u0627 \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u067E\u0631\u0648\u0646\u062F\u0647: %1",ProcessMath:"\u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Processing:"\u067E\u0631\u062F\u0627\u0632\u0634",TypesetMath:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Typesetting:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC",MathJaxNotSupported:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathJax \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/lki.js");
+MathJax.Localization.addTranslation("lki",null,{menuTitle:"\u0644\u06D5\u06A9\u06CC",fontDirection:"rtl",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"\u062E\u0637\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC",MathError:"\u062E\u0637\u0627 \u0631\u06CC\u0627\u0636\u06CC",LoadFile:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC %1",Loading:"\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC",LoadFailed:"\u062E\u0637\u0627 \u062F\u0631 \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u067E\u0631\u0648\u0646\u062F\u0647: %1",ProcessMath:"\u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Processing:"\u067E\u0631\u062F\u0627\u0632\u0634",TypesetMath:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC \u0631\u06CC\u0627\u0636\u06CC: %1\u066A",Typesetting:"\u062D\u0631\u0648\u0641\u200C\u0686\u06CC\u0646\u06CC",MathJaxNotSupported:"\u0645\u0631\u0648\u0631\u06AF\u0631 \u0634\u0645\u0627 \u0627\u0632 MathJax \u067E\u0634\u062A\u06CC\u0628\u0627\u0646\u06CC \u0646\u0645\u06CC\u200C\u06A9\u0646\u062F"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/lki/lki.js");
diff --git a/localization/lt/FontWarnings.js b/localization/lt/FontWarnings.js
index cbac11f71e..9c6c2efe53 100644
--- a/localization/lt/FontWarnings.js
+++ b/localization/lt/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lt/FontWarnings.js
+ *  /MathJax-v2/localization/lt/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lt","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"\u0160iame tinklalapyje matematikos tekst\u0105 \u201EMathJax\u201C rodo tinkle saugomais \u0161riftais, kuriems \u012Fkelti reikia laiko. Teksto rinkim\u0105 galima greitinti, matematikos \u0161riftus \u012Fdiegus naudotojo kompiuteryje.",imageFonts:"\u201EMathJax\u201C taiko paveikslinius, o ne vietinius arba tinkle saugomus \u0161riftus. Matematikos tekstas vaizduojamas l\u0117\u010Diau, o spausdinant netenkama rai\u0161kos.",noFonts:"Neradusi matematikos tekstui skirt\u0173 \u0161rift\u0173, \u201EMathJax\u201C taiko bendruosius unikodo ra\u0161menis. Kai kurie ra\u0161menys gali b\u016Bti darkomi arba visai nerodomi.",webFonts:"Dauguma dabartini\u0173 nar\u0161ykli\u0173 leid\u017Eia gauti \u0161riftus i\u0161 tinklo. Tik\u0117tina, kad atnaujinus nar\u0161ykl\u0117s laid\u0105 arba esam\u0105 nar\u0161ykl\u0119 pakeitus kita, tinklalapyje ger\u0117t\u0173 matematikos teksto vaizdavimas.",fonts:"\u201EMathJax\u201C gali taikyti [STIX fonts](%1) arba [MathJax TeX fonts](%2). \u012Ediegus vien\u0105 i\u0161 min\u0117t\u0173 alternatyv\u0173, ger\u0117s \u201EMathJax\u201C veikimas.",STIXPage:"Tinklalapyje numatyti [STIX fonts](%1). \u012Ediegus min\u0117tus \u0161riftus, ger\u0117s \u201EMathJax\u201C veikimas.",TeXPage:"Tinklalapyje numatyti [MathJax TeX fonts](%1).  \u012Ediegus min\u0117tus \u0161riftus, ger\u0117s \u201EMathJax\u201C veikimas."}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/FontWarnings.js");
+MathJax.Localization.addTranslation("lt","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"\u0160iame tinklalapyje matematikos tekst\u0105 \u201EMathJax\u201C rodo tinkle saugomais \u0161riftais, kuriems \u012Fkelti reikia laiko. Teksto rinkim\u0105 galima greitinti, matematikos \u0161riftus \u012Fdiegus naudotojo kompiuteryje.",imageFonts:"\u201EMathJax\u201C taiko paveikslinius, o ne vietinius arba tinkle saugomus \u0161riftus. Matematikos tekstas vaizduojamas l\u0117\u010Diau, o spausdinant netenkama rai\u0161kos.",noFonts:"Neradusi matematikos tekstui skirt\u0173 \u0161rift\u0173, \u201EMathJax\u201C taiko bendruosius unikodo ra\u0161menis. Kai kurie ra\u0161menys gali b\u016Bti darkomi arba visai nerodomi.",webFonts:"Dauguma dabartini\u0173 nar\u0161ykli\u0173 leid\u017Eia gauti \u0161riftus i\u0161 tinklo. Tik\u0117tina, kad atnaujinus nar\u0161ykl\u0117s laid\u0105 arba esam\u0105 nar\u0161ykl\u0119 pakeitus kita, tinklalapyje ger\u0117t\u0173 matematikos teksto vaizdavimas.",fonts:"\u201EMathJax\u201C gali taikyti [STIX fonts](%1) arba [MathJax TeX fonts](%2). \u012Ediegus vien\u0105 i\u0161 min\u0117t\u0173 alternatyv\u0173, ger\u0117s \u201EMathJax\u201C veikimas.",STIXPage:"Tinklalapyje numatyti [STIX fonts](%1). \u012Ediegus min\u0117tus \u0161riftus, ger\u0117s \u201EMathJax\u201C veikimas.",TeXPage:"Tinklalapyje numatyti [MathJax TeX fonts](%1).  \u012Ediegus min\u0117tus \u0161riftus, ger\u0117s \u201EMathJax\u201C veikimas."}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/FontWarnings.js");
diff --git a/localization/lt/HTML-CSS.js b/localization/lt/HTML-CSS.js
index 11d510865d..ce6fc41c6e 100644
--- a/localization/lt/HTML-CSS.js
+++ b/localization/lt/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lt/HTML-CSS.js
+ *  /MathJax-v2/localization/lt/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lt","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u012Ekeliamas tinklo \u0161riftas %1",CantLoadWebFont:"Tinklo \u0161rifto %1 \u012Fkelti nepavyko",FirefoxCantLoadWebFont:"\u201EFirefox\u201C nepavyksta \u012Fkelti tinklo \u0161rift\u0173 i\u0161 nutolusios prieglobos",CantFindFontUsing:"Nepavyksta rasti tinkamo \u0161rifto naudojant %1",WebFontsNotAvailable:"Naudojami paveiksliniai \u0161riftai, nes n\u0117ra tinklo \u0161rift\u0173."}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/HTML-CSS.js");
+MathJax.Localization.addTranslation("lt","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u012Ekeliamas tinklo \u0161riftas %1",CantLoadWebFont:"Tinklo \u0161rifto %1 \u012Fkelti nepavyko",FirefoxCantLoadWebFont:"\u201EFirefox\u201C nepavyksta \u012Fkelti tinklo \u0161rift\u0173 i\u0161 nutolusios prieglobos",CantFindFontUsing:"Nepavyksta rasti tinkamo \u0161rifto naudojant %1",WebFontsNotAvailable:"Naudojami paveiksliniai \u0161riftai, nes n\u0117ra tinklo \u0161rift\u0173."}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/HTML-CSS.js");
diff --git a/localization/lt/HelpDialog.js b/localization/lt/HelpDialog.js
index c1b1f4302d..884a7775dd 100644
--- a/localization/lt/HelpDialog.js
+++ b/localization/lt/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lt/HelpDialog.js
+ *  /MathJax-v2/localization/lt/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lt","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax Pagalba",MathJax:"*\u201EMathJax\u201C* \u2013 tai \u201EJavaScript\u201C biblioteka, leid\u017Eianti autoriams tinklalapiuose ra\u0161yti matematikos tekst\u0105. Skaitytojams papildom\u0173 veiksm\u0173 atlikti nereikia.",Browsers:"*Nar\u0161ykl\u0117s*: \u201EMathJax\u201C veikia visose dabartin\u0117se nar\u0161ykl\u0117je, \u012Fskaitant \u201EIE\u201C 6+, \u201EFirefox\u201C 3+, \u201EChrome\u201C 0.2+, \u201ESafari\u201C 2+, \u201EOpera\u201C 9.6+ ir daugum\u0105 mobili\u0173j\u0173 nar\u0161ykli\u0173.",Menu:"*Matematikos meniu*: \u201EMathJax\u201C \u012Fdiegtas kontekstinis lyg\u010Di\u0173 meniu. Meniu atver\u010Diamas spustel\u0117jus de\u0161iniuoju pel\u0117s klavi\u0161u arba nuspaudus Vald ir spustel\u0117jus matematikos \u017Eenkl\u0105.",ShowMath:"*Rodiniu* per\u017Ei\u016Brima ir kopijuojama formul\u0117s \u0161altinio \u017Eym\u0117jimo sintaks\u0117 (\u201EMathML\u201C arba pradiniu formatu).",Settings:"*Nuostatomis* valdomos \u201EMathJax\u201C ypatyb\u0117s, pavyzd\u017Eiui, matematikos \u017Eenkl\u0173 dydis arba lyg\u010Di\u0173 vaizdavimo mechanizmas.",Language:"*Kalba* nustatoma \u201EMathJax\u201C meniu ir \u012Fsp\u0117jam\u0173j\u0173 prane\u0161im\u0173 kalba.",Zoom:"*Masteliu* didinamas lygties rodinys.",Accessibilty:"*Pritaikymas ne\u012Fgaliesiems*: \u201EMathJax\u201C prisitaiko prie ekrano skaitykli\u0173, kad matematikos tekstas b\u016Bt\u0173 \u012Fskaitomas silpnaregiams.",Fonts:"*\u0160riftai*: \u201EMathJax\u201C telkiasi naudotojo kompiuteryje \u012Fdiegtus \u0161riftus, jei \u0161ie yra tinkami; kitu atveju \u2013 tinkle saugomus \u0161riftus. Naudotojo kompiuteryje \u012Fdiegti \u0161riftai, nors ir neb\u016Btini, greitina \u017Eenkl\u0173 rinkim\u0105. Patariama \u012Fdiegti [\u201ESTIX\u201C \u0161riftus](%1).",CloseDialog:"Nutraukti \u017Einyno dialog\u0105"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/HelpDialog.js");
+MathJax.Localization.addTranslation("lt","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"MathJax Pagalba",MathJax:"*\u201EMathJax\u201C* \u2013 tai \u201EJavaScript\u201C biblioteka, leid\u017Eianti autoriams tinklalapiuose ra\u0161yti matematikos tekst\u0105. Skaitytojams papildom\u0173 veiksm\u0173 atlikti nereikia.",Browsers:"*Nar\u0161ykl\u0117s*: \u201EMathJax\u201C veikia visose dabartin\u0117se nar\u0161ykl\u0117je, \u012Fskaitant \u201EIE\u201C 6+, \u201EFirefox\u201C 3+, \u201EChrome\u201C 0.2+, \u201ESafari\u201C 2+, \u201EOpera\u201C 9.6+ ir daugum\u0105 mobili\u0173j\u0173 nar\u0161ykli\u0173.",Menu:"*Matematikos meniu*: \u201EMathJax\u201C \u012Fdiegtas kontekstinis lyg\u010Di\u0173 meniu. Meniu atver\u010Diamas spustel\u0117jus de\u0161iniuoju pel\u0117s klavi\u0161u arba nuspaudus Vald ir spustel\u0117jus matematikos \u017Eenkl\u0105.",ShowMath:"*Rodiniu* per\u017Ei\u016Brima ir kopijuojama formul\u0117s \u0161altinio \u017Eym\u0117jimo sintaks\u0117 (\u201EMathML\u201C arba pradiniu formatu).",Settings:"*Nuostatomis* valdomos \u201EMathJax\u201C ypatyb\u0117s, pavyzd\u017Eiui, matematikos \u017Eenkl\u0173 dydis arba lyg\u010Di\u0173 vaizdavimo mechanizmas.",Language:"*Kalba* nustatoma \u201EMathJax\u201C meniu ir \u012Fsp\u0117jam\u0173j\u0173 prane\u0161im\u0173 kalba.",Zoom:"*Masteliu* didinamas lygties rodinys.",Accessibilty:"*Pritaikymas ne\u012Fgaliesiems*: \u201EMathJax\u201C prisitaiko prie ekrano skaitykli\u0173, kad matematikos tekstas b\u016Bt\u0173 \u012Fskaitomas silpnaregiams.",Fonts:"*\u0160riftai*: \u201EMathJax\u201C telkiasi naudotojo kompiuteryje \u012Fdiegtus \u0161riftus, jei \u0161ie yra tinkami; kitu atveju \u2013 tinkle saugomus \u0161riftus. Naudotojo kompiuteryje \u012Fdiegti \u0161riftai, nors ir neb\u016Btini, greitina \u017Eenkl\u0173 rinkim\u0105. Patariama \u012Fdiegti [\u201ESTIX\u201C \u0161riftus](%1).",CloseDialog:"Nutraukti \u017Einyno dialog\u0105"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/HelpDialog.js");
diff --git a/localization/lt/MathML.js b/localization/lt/MathML.js
index c1205b0726..a44896a21b 100644
--- a/localization/lt/MathML.js
+++ b/localization/lt/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lt/MathML.js
+ *  /MathJax-v2/localization/lt/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lt","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Netinkamas matematikos glifas: %1",BadMglyphFont:"Netinkamas \u0161riftas: %1",MathPlayer:"\u201EMathJax\u201C nepavyko nustatyti \u201EMathPlayer\u201C.\n\nJei \u201EMathPlayer\u201C dar ne\u012Fdiegtas, b\u016Btina tai padaryti. Kitaip saugumo nuostatos neleis veikti \u201EActiveX\u201C valdikliams. Adresu Priemoni\u0173 meniu \u003E Interneto nuostatos \u003E Saugumo kortel\u0117 paspaud\u0119 \u201ENaudotojo lyg\u012F\u201C, patikrinkite, ar \u012Fjungtos nuostatos \u201EPaleisti ActiveX valdikius\u201C bei \u201EDvejetain\u0117s ir scenarij\u0173 veiklos\u201C.\n\nPrie\u0161ingu atveju vietoj matematikos \u017Eenkl\u0173 bus rodomi klaid\u0173 prane\u0161imai.",CantCreateXMLParser:"\u201EMathJax\u201C nepavyksta sukurti \u201EMathML\u201C XML analizatoriaus. Patikrinkite, ar \u012Fjungta saugumo nuostata \u201EScenarij\u0173 ActiveX valdikliai pa\u017Eym\u0117ti kaip saug\u016Bs scenarijams vykdyti\u201C (Priemoni\u0173 meniu \u003E Interneto nuostatos \u003E Naudotojo lygis).\n\n\u201EMathJax\u201C neapdoros \u201EMathML\u201C lyg\u010Di\u0173.",UnknownNodeType:"Ne\u017Einoma mazgo atmaina: %1",UnexpectedTextNode:"Netik\u0117tas teksto mazgas: %1",ErrorParsingMathML:"Klaida nagrin\u0117jant \u201EMathML\u201C",ParsingError:"Klaida nagrin\u0117jant \u201EMathML\u201C: %1",MathMLSingleElement:"\u201EMathML\u201C formuotinas vienu d\u0117meniu",MathMLRootElement:"\u201EMathML\u201C formuotinas \u003Cmath\u003E d\u0117meniu, o ne %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/MathML.js");
+MathJax.Localization.addTranslation("lt","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"Netinkamas matematikos glifas: %1",BadMglyphFont:"Netinkamas \u0161riftas: %1",MathPlayer:"\u201EMathJax\u201C nepavyko nustatyti \u201EMathPlayer\u201C.\n\nJei \u201EMathPlayer\u201C dar ne\u012Fdiegtas, b\u016Btina tai padaryti. Kitaip saugumo nuostatos neleis veikti \u201EActiveX\u201C valdikliams. Adresu Priemoni\u0173 meniu \u003E Interneto nuostatos \u003E Saugumo kortel\u0117 paspaud\u0119 \u201ENaudotojo lyg\u012F\u201C, patikrinkite, ar \u012Fjungtos nuostatos \u201EPaleisti ActiveX valdikius\u201C bei \u201EDvejetain\u0117s ir scenarij\u0173 veiklos\u201C.\n\nPrie\u0161ingu atveju vietoj matematikos \u017Eenkl\u0173 bus rodomi klaid\u0173 prane\u0161imai.",CantCreateXMLParser:"\u201EMathJax\u201C nepavyksta sukurti \u201EMathML\u201C XML analizatoriaus. Patikrinkite, ar \u012Fjungta saugumo nuostata \u201EScenarij\u0173 ActiveX valdikliai pa\u017Eym\u0117ti kaip saug\u016Bs scenarijams vykdyti\u201C (Priemoni\u0173 meniu \u003E Interneto nuostatos \u003E Naudotojo lygis).\n\n\u201EMathJax\u201C neapdoros \u201EMathML\u201C lyg\u010Di\u0173.",UnknownNodeType:"Ne\u017Einoma mazgo atmaina: %1",UnexpectedTextNode:"Netik\u0117tas teksto mazgas: %1",ErrorParsingMathML:"Klaida nagrin\u0117jant \u201EMathML\u201C",ParsingError:"Klaida nagrin\u0117jant \u201EMathML\u201C: %1",MathMLSingleElement:"\u201EMathML\u201C formuotinas vienu d\u0117meniu",MathMLRootElement:"\u201EMathML\u201C formuotinas \u003Cmath\u003E d\u0117meniu, o ne %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/MathML.js");
diff --git a/localization/lt/MathMenu.js b/localization/lt/MathMenu.js
index 84d1579c01..77cd09b3fe 100644
--- a/localization/lt/MathMenu.js
+++ b/localization/lt/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lt/MathMenu.js
+ *  /MathJax-v2/localization/lt/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lt","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Rodyti",MathMLcode:"\u201EMathML\u201C tekst\u0105",OriginalMathML:"Pradinis \u201EMathML\u201C",TeXCommands:"\u201ETeX\u201C komandas",AsciiMathInput:"\u201EAsciiMathML\u201C \u012Fvestis",Original:"Pradin\u0117 forma",ErrorMessage:"Klaidos prane\u0161imas",Annotation:"santrauk\u0105",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"\u201ETeX\u201C u\u017Euominas \u201EMathML\u201C kalba",Settings:"Nustatyti",ZoomTrigger:"mastelio jungikl\u012F",Hover:"u\u017Evedus",Click:"spustel\u0117jus",DoubleClick:"dukart spustel\u0117jus",NoZoom:"Nekeisti",TriggerRequires:"Kei\u010Diant spaud\u017Eiama:",Option:"Nuostata",Alt:"Alt",Command:"Komanda",Control:"Vald",Shift:"Lyg 2",ZoomFactor:"mastelio daugikl\u012F",Renderer:"teikikl\u012F",MPHandles:"Leisti \u201EMathPlayer\u201C vykdyti:",MenuEvents:"Meniu \u012Fvykiai",MouseEvents:"Pel\u0117s \u012Fvykiai",MenuAndMouse:"Pel\u0117s ir meniu \u012Fvykiai",FontPrefs:"\u0160rift\u0173 nuostatos",ForHTMLCSS:"Skirta HTML-CSS:",Auto:"Savaime",TeXLocal:"TeX (vietinis)",TeXWeb:"TeX (tinklas)",TeXImage:"TeX (paveiksl\u0117lis)",STIXLocal:"STIX (vietinis)",STIXWeb:"STIX (tinklas)",AsanaMathWeb:"Asana Math (tinklas)",GyrePagellaWeb:"Gyre Pagella (tinklas)",GyreTermesWeb:"Gyre Termes (tinklas)",LatinModernWeb:"Latin Modern (tinklas)",NeoEulerWeb:"Neo Euler (tinklas)",ContextMenu:"Kontekstinis meniu",Browser:"Nar\u0161ykl\u0117",Scale:"bendr\u0105 mastel\u012F\u2026",Discoverable:"Ry\u0161kinti u\u017Evedus",Locale:"Kalba",LoadLocale:"\u012Ekelti i\u0161 URL ...",About:"Apie \u201EMathJax\u201C",Help:"\u017Dinynas",localTeXfonts:"vartojami vietiniai \u201ETeX\u201C \u0161riftai",webTeXfonts:"Taikomas tinklinis \u201ETeX\u201C \u0161riftas",imagefonts:"vartojami paveiksliniai \u0161riftai",localSTIXfonts:"vartojami vietiniai \u201ESTIX\u201C \u0161riftai",webSVGfonts:"vartojami tinkliniai SVG \u0161riftai",genericfonts:"vartojami bendrieji unikodo \u0161riftai",wofforotffonts:"WOFF arba OTF \u0161riftai",eotffonts:"EOT \u0161riftai",svgfonts:"SVG \u0161riftai",WebkitNativeMMLWarning:"Tik\u0117tina, kad j\u016Bs\u0173 nar\u0161ykl\u0117je \u201EMathML\u201C vartojimas nenumatytas, tod\u0117l i\u0161vest\u012F perjungus \u012F \u201EMathML\u201C, tinklalapyje galima i\u0161darkyti matematikos \u017Eenklus.",MSIENativeMMLWarning:"Norint \u201EMathML\u201C i\u0161vest\u012F apdoroti nar\u0161ykl\u0117je \u201EInternet Explorer\u201C, b\u016Btinas papildinys \u201EMathPlayer\u201C.",OperaNativeMMLWarning:"Nar\u0161ykl\u0117je \u201EOpera\u201C \u201EMathML\u201C vartojimas yra ribotas, tod\u0117l i\u0161vest\u012F perjungus \u012F \u201EMathML\u201C kai kurie rei\u0161kiniai gali b\u016Bti vaizduojami nekokybi\u0161kai.",SafariNativeMMLWarning:"J\u016Bs\u0173 nar\u0161ykl\u0117s \u201EMathML\u201C sande ne\u012Fdiegtos visos \u201EMathJax\u201C ypatyb\u0117s, tod\u0117l kai kurie rei\u0161kiniai gali b\u016Bti vaizduojami nekokybi\u0161kai.",FirefoxNativeMMLWarning:"J\u016Bs\u0173 nar\u0161ykl\u0117s \u201EMathML\u201C sande ne\u012Fdiegtos visos \u201EMathJax\u201C ypatyb\u0117s, tod\u0117l kai kurie rei\u0161kiniai gali b\u016Bti vaizduojami nekokybi\u0161kai.",MSIESVGWarning:"SVG nar\u0161ykl\u0117je \u201EInternet Explorer\u201C diegiama tik nuo IE9 laidos. IE8 ir ankstesn\u0117se laidose ji galima tik emuliuojant. I\u0161vest\u012F perjungus \u012F SVG, matematikos \u017Eenklai vaizduojami nekokybi\u0161kai.",LoadURL:"Vertimo duomenis \u012Fkelti i\u0161 \u0161io URL:",BadURL:"URL adresas turi b\u016Bti skirtas \u201EJavaScript\u201C bylai, apibr\u0117\u017Eian\u010Diai \u201EMathJax\u201C vertimo duomenis. \u201EJavaScript\u201C bylos prievardis turi b\u016Bti \u201E.js\u201C.",BadData:"Vertimo duomen\u0173 i\u0161 %1 \u012Fkelti nepavyko.",SwitchAnyway:"Ar vis tiek keisti vaizdavimo b\u016Bd\u0105?\n\n(Vaizdavimo b\u016Bdas kei\u010Diamas, spaud\u017Eiant \u201EVykdyti\u201C; paliekamas tas pats, spaud\u017Eiant \u201ENutraukti\u201C.)",ScaleMath:"Bendrasis mastelis aplinkinio teksto at\u017Evilgiu:",NonZeroScale:"Mastelio reik\u0161m\u0117 negali b\u016Bti 0",PercentScale:"Mastelis \u017Eymimas procentais (pavyzd\u017Eiui, 120%%)",IE8warning:"Ar tikrai keisti \u201EMathPlayer\u201C nuostatas?",IE9warning:"I\u0161jungus kontekstin\u012F \u201EMathJax\u201C meniu, \u201EMathJax\u201C meniu atver\u010Diamas nuspaudus Alt ir spustel\u0117jus rei\u0161kin\u012F.",NoOriginalForm:"Pradin\u0117s formos n\u0117ra",Close:"U\u017Edaryti",EqSource:"\u201EMathJax\u201C lygties \u0161altinis",CloseAboutDialog:"Nutraukti dialog\u0105 apie \u201EMathJax\u201C",FastPreview:"Spar\u010Dioji per\u017Ei\u016Bra",AssistiveMML:"Pagalbinis \u201EMathML\u201C",InTabOrder:"\u012Etraukti \u012F \u0105seli\u0173 eil\u0119"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/MathMenu.js");
+MathJax.Localization.addTranslation("lt","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Rodyti",MathMLcode:"\u201EMathML\u201C tekst\u0105",OriginalMathML:"Pradinis \u201EMathML\u201C",TeXCommands:"\u201ETeX\u201C komandas",AsciiMathInput:"\u201EAsciiMathML\u201C \u012Fvestis",Original:"Pradin\u0117 forma",ErrorMessage:"Klaidos prane\u0161imas",Annotation:"santrauk\u0105",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"\u201ETeX\u201C u\u017Euominas \u201EMathML\u201C kalba",Settings:"Nustatyti",ZoomTrigger:"mastelio jungikl\u012F",Hover:"u\u017Evedus",Click:"spustel\u0117jus",DoubleClick:"dukart spustel\u0117jus",NoZoom:"Nekeisti",TriggerRequires:"Kei\u010Diant spaud\u017Eiama:",Option:"Nuostata",Alt:"Alt",Command:"Komanda",Control:"Vald",Shift:"Lyg 2",ZoomFactor:"mastelio daugikl\u012F",Renderer:"teikikl\u012F",MPHandles:"Leisti \u201EMathPlayer\u201C vykdyti:",MenuEvents:"Meniu \u012Fvykiai",MouseEvents:"Pel\u0117s \u012Fvykiai",MenuAndMouse:"Pel\u0117s ir meniu \u012Fvykiai",FontPrefs:"\u0160rift\u0173 nuostatos",ForHTMLCSS:"Skirta HTML-CSS:",Auto:"Savaime",TeXLocal:"TeX (vietinis)",TeXWeb:"TeX (tinklas)",TeXImage:"TeX (paveiksl\u0117lis)",STIXLocal:"STIX (vietinis)",STIXWeb:"STIX (tinklas)",AsanaMathWeb:"Asana Math (tinklas)",GyrePagellaWeb:"Gyre Pagella (tinklas)",GyreTermesWeb:"Gyre Termes (tinklas)",LatinModernWeb:"Latin Modern (tinklas)",NeoEulerWeb:"Neo Euler (tinklas)",ContextMenu:"Kontekstinis meniu",Browser:"Nar\u0161ykl\u0117",Scale:"bendr\u0105 mastel\u012F\u2026",Discoverable:"Ry\u0161kinti u\u017Evedus",Locale:"Kalba",LoadLocale:"\u012Ekelti i\u0161 URL ...",About:"Apie \u201EMathJax\u201C",Help:"\u017Dinynas",localTeXfonts:"vartojami vietiniai \u201ETeX\u201C \u0161riftai",webTeXfonts:"Taikomas tinklinis \u201ETeX\u201C \u0161riftas",imagefonts:"vartojami paveiksliniai \u0161riftai",localSTIXfonts:"vartojami vietiniai \u201ESTIX\u201C \u0161riftai",webSVGfonts:"vartojami tinkliniai SVG \u0161riftai",genericfonts:"vartojami bendrieji unikodo \u0161riftai",wofforotffonts:"WOFF arba OTF \u0161riftai",eotffonts:"EOT \u0161riftai",svgfonts:"SVG \u0161riftai",WebkitNativeMMLWarning:"Tik\u0117tina, kad j\u016Bs\u0173 nar\u0161ykl\u0117je \u201EMathML\u201C vartojimas nenumatytas, tod\u0117l i\u0161vest\u012F perjungus \u012F \u201EMathML\u201C, tinklalapyje galima i\u0161darkyti matematikos \u017Eenklus.",MSIENativeMMLWarning:"Norint \u201EMathML\u201C i\u0161vest\u012F apdoroti nar\u0161ykl\u0117je \u201EInternet Explorer\u201C, b\u016Btinas papildinys \u201EMathPlayer\u201C.",OperaNativeMMLWarning:"Nar\u0161ykl\u0117je \u201EOpera\u201C \u201EMathML\u201C vartojimas yra ribotas, tod\u0117l i\u0161vest\u012F perjungus \u012F \u201EMathML\u201C kai kurie rei\u0161kiniai gali b\u016Bti vaizduojami nekokybi\u0161kai.",SafariNativeMMLWarning:"J\u016Bs\u0173 nar\u0161ykl\u0117s \u201EMathML\u201C sande ne\u012Fdiegtos visos \u201EMathJax\u201C ypatyb\u0117s, tod\u0117l kai kurie rei\u0161kiniai gali b\u016Bti vaizduojami nekokybi\u0161kai.",FirefoxNativeMMLWarning:"J\u016Bs\u0173 nar\u0161ykl\u0117s \u201EMathML\u201C sande ne\u012Fdiegtos visos \u201EMathJax\u201C ypatyb\u0117s, tod\u0117l kai kurie rei\u0161kiniai gali b\u016Bti vaizduojami nekokybi\u0161kai.",MSIESVGWarning:"SVG nar\u0161ykl\u0117je \u201EInternet Explorer\u201C diegiama tik nuo IE9 laidos. IE8 ir ankstesn\u0117se laidose ji galima tik emuliuojant. I\u0161vest\u012F perjungus \u012F SVG, matematikos \u017Eenklai vaizduojami nekokybi\u0161kai.",LoadURL:"Vertimo duomenis \u012Fkelti i\u0161 \u0161io URL:",BadURL:"URL adresas turi b\u016Bti skirtas \u201EJavaScript\u201C bylai, apibr\u0117\u017Eian\u010Diai \u201EMathJax\u201C vertimo duomenis. \u201EJavaScript\u201C bylos prievardis turi b\u016Bti \u201E.js\u201C.",BadData:"Vertimo duomen\u0173 i\u0161 %1 \u012Fkelti nepavyko.",SwitchAnyway:"Ar vis tiek keisti vaizdavimo b\u016Bd\u0105?\n\n(Vaizdavimo b\u016Bdas kei\u010Diamas, spaud\u017Eiant \u201EVykdyti\u201C; paliekamas tas pats, spaud\u017Eiant \u201ENutraukti\u201C.)",ScaleMath:"Bendrasis mastelis aplinkinio teksto at\u017Evilgiu:",NonZeroScale:"Mastelio reik\u0161m\u0117 negali b\u016Bti 0",PercentScale:"Mastelis \u017Eymimas procentais (pavyzd\u017Eiui, 120%%)",IE8warning:"Ar tikrai keisti \u201EMathPlayer\u201C nuostatas?",IE9warning:"I\u0161jungus kontekstin\u012F \u201EMathJax\u201C meniu, \u201EMathJax\u201C meniu atver\u010Diamas nuspaudus Alt ir spustel\u0117jus rei\u0161kin\u012F.",NoOriginalForm:"Pradin\u0117s formos n\u0117ra",Close:"U\u017Edaryti",EqSource:"\u201EMathJax\u201C lygties \u0161altinis",CloseAboutDialog:"Nutraukti dialog\u0105 apie \u201EMathJax\u201C",FastPreview:"Spar\u010Dioji per\u017Ei\u016Bra",AssistiveMML:"Pagalbinis \u201EMathML\u201C",InTabOrder:"\u012Etraukti \u012F \u0105seli\u0173 eil\u0119"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/MathMenu.js");
diff --git a/localization/lt/TeX.js b/localization/lt/TeX.js
index 404778a8da..25598ddd4d 100644
--- a/localization/lt/TeX.js
+++ b/localization/lt/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lt/TeX.js
+ *  /MathJax-v2/localization/lt/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lt","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Per daug atidarom\u0173j\u0173 arba per ma\u017Eai u\u017Edarom\u0173j\u0173 riestini\u0173 skliausteli\u0173",ExtraCloseMissingOpen:"Per daug u\u017Edarom\u0173j\u0173 arba per ma\u017Eai atidarom\u0173j\u0173 riestini\u0173 skliausteli\u0173",MissingLeftExtraRight:"Per ma\u017Eai \\left arba per daug \\right",MissingScript:"N\u0117ra vir\u0161utinio arba apatinio indekso argumento",ExtraLeftMissingRight:"Per daug \\left arba per ma\u017Eai \\right",Misplaced:"Ne tinkamoje vietoje %1",MissingOpenForSub:"N\u0117ra atidaromojo riestinio apatinio indekso skliaustelio",MissingOpenForSup:"N\u0117ra atidaromojo riestinio vir\u0161utinio indekso skliaustelio",AmbiguousUseOf:"Nevienareik\u0161m\u0117 %1 vartosena",EnvBadEnd:"\\begin{%1} baig\u0117si \\end{%2}",EnvMissingEnd:"N\u0117ra \\end{%1}",MissingBoxFor:"N\u0117ra %1 langelio",MissingCloseBrace:"N\u0117ra u\u017Edaromojo riestinio skliaustelio",UndefinedControlSequence:"Neapibr\u0117\u017Eta valdymo seka %1",DoubleExponent:"Kartojamas laipsnio rodiklis: tikslinti riestiniais skliausteliais",DoubleSubscripts:"Kartojamas apatinis indeksas: tikslinti riestiniais skliausteliais",DoubleExponentPrime:"Pirminis skai\u010Dius kartoja laipsnio rodikl\u012F: tikslinti riestiniais skliausteliais",CantUseHash1:"Makrokomandos parametro ra\u0161mens \u201E#\u201C matematikos veiksenoje vartoti negalima",MisplacedMiddle:"%1 privalo b\u016Bti \\left ir \\right viduje",MisplacedLimits:"%1 taikomas tik operatoriams",MisplacedMoveRoot:"%1 rodomas tik \u0161aknyje",MultipleCommand:"Kartojamas %1",IntegerArg:"%1 argumentas privalo b\u016Bti sveikasis skai\u010Dius",NotMathMLToken:"%1 n\u0117ra leksema",InvalidMathMLAttr:"Netinkamas \u201EMathML\u201C po\u017Eymis: %1",UnknownAttrForElement:"%1 n\u0117ra atpa\u017E\u012Fstamas %2 po\u017Eymis",MaxMacroSub1:"Vir\u0161ytas did\u017Eiausias leid\u017Eiamas \u201EMathJax\u201C makrokomand\u0173 pakait\u0173 skai\u010Dius; galb\u016Bt vykdomas rekursinis makrokomandos kreipinys?",MaxMacroSub2:"Vir\u0161ytas did\u017Eiausias leid\u017Eiamas \u201EMathJax\u201C pakait\u0173 skai\u010Dius; galb\u016Bt vykdoma rekursin\u0117 \u201ELaTeX\u201C aplinka?",MissingArgFor:"N\u0117ra %1 argumento",ExtraAlignTab:"Per daug lygiavimo tabuliatori\u0173 \\cases tekste",BracketMustBeDimension:"%1 argumentas riestiniuose skliausteliuose privalo b\u016Bti matmuo",InvalidEnv:"Netinkamas aplinkos pavadinimas \u201E%1\u201C",UnknownEnv:"Ne\u017Einoma aplinka '%1'",ExtraCloseLooking:"Per daug riestini\u0173 skliausteli\u0173 ie\u0161kant %1",MissingCloseBracket:"%1 argumente nepavyko rasti u\u017Edaromojo \u201E]\u201C",MissingOrUnrecognizedDelim:"%1 neturi skirtuko arba \u0161is n\u0117ra atpa\u017E\u012Fstamas",MissingDimOrUnits:"%1 neturi matmens arba \u0161iojo vienet\u0173",TokenNotFoundForCommand:"%2 skirto %1 rasti nepavyko",MathNotTerminated:"Teksto langelyje matematikos neaptikta",IllegalMacroParam:"Netinkama makrokomandos parametro nuoroda",MaxBufferSize:"Vir\u0161ytas vidinio \u201EMathJax\u201C buferio dydis; galb\u016Bt vykdomas rekursinis makrokomandos kreipinys?",CommandNotAllowedInEnv:"%1 aplinkoje %2 neleid\u017Eiamas",MultipleLabel:"Apibr\u0117\u017Etas \u017Eymenos \u201E%1\u201C kartojimas",CommandAtTheBeginingOfLine:"%1 privalo b\u016Bti eilut\u0117s prad\u017Eioje",IllegalAlign:"%1 nurodyta netinkama lygiuot\u0117",BadMathStyleFor:"Netinkamas %1 matematikos stilius",PositiveIntegerArg:"%1 argumentas privalo b\u016Bti teigiamas sveikasis skai\u010Dius",ErroneousNestingEq:"Klaidingas lyg\u010Di\u0173 sandar\u0173 \u012Fd\u0117jimas",MultlineRowsOneCol:"Eilut\u0117s %1 aplinkoje privalo apimti tiksliai vien\u0105 stulpel\u012F",MultipleBBoxProperty:"%1 kartojamas %2",InvalidBBoxProperty:"\u201E%1\u201C neatrodo kaip spalva, u\u017Epildymo matmuo arba stilius",ExtraEndMissingBegin:"Per daug %1 arba per ma\u017Eai \\begingroup",GlobalNotFollowedBy:"Po %1 neina \\let, \\def arba \\newcommand",UndefinedColorModel:"Neapibr\u0117\u017Etas spalvos modelis \u201E%1\u201C",ModelArg1:"Modelio \u201E%1\u201C spalv\u0173 reik\u0161m\u0117s ra\u0161omos trimis skaitmenimis",InvalidDecimalNumber:"Netinkamas de\u0161imtainis skai\u010Dius",ModelArg2:"Modelio \u201E%1\u201C spalv\u0173 reik\u0161m\u0117s privalo b\u016Bti tarp %2 ir %3",InvalidNumber:"Neleistinas skai\u010Dius",NewextarrowArg1:"Pirmasis %1 argumentas privalo b\u016Bti valdymo sekos pavadinimas",NewextarrowArg2:"Antrasis %1 argumentas privalo b\u016Bti du kableliu skiriami sveikieji skai\u010Diai",NewextarrowArg3:"Tre\u010Diasis %1 argumentas privalo b\u016Bti unikodo ra\u0161mens skai\u010Dius",NoClosingChar:"Nepavyksta rasti u\u017Edaromojo %1",IllegalControlSequenceName:"Netinkamas %1 valdymo sekos pavadinimas",IllegalParamNumber:"%1 nurodytas netinkamas parametr\u0173 skai\u010Dius",MissingCS:"Po %1 privalo eiti valdymo seka",CantUseHash2:"Netinkama \u201E#\u201C vartosena %1 ruo\u0161inyje",SequentialParam:"%1 parametrai numeruotini nuosekliai",MissingReplacementString:"N\u0117ra %1 apibr\u0117\u017Eimo pakaitos eilut\u0117s",MismatchUseDef:"%1 vartosena nesutampa su %1 apibr\u0117\u017Eimu",RunawayArgument:"Nevaldomas %1 argumentas?",NoClosingDelim:"Nepavyksta rasti u\u017Edaromojo %1 skirtuko"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/TeX.js");
+MathJax.Localization.addTranslation("lt","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Per daug atidarom\u0173j\u0173 arba per ma\u017Eai u\u017Edarom\u0173j\u0173 riestini\u0173 skliausteli\u0173",ExtraCloseMissingOpen:"Per daug u\u017Edarom\u0173j\u0173 arba per ma\u017Eai atidarom\u0173j\u0173 riestini\u0173 skliausteli\u0173",MissingLeftExtraRight:"Per ma\u017Eai \\left arba per daug \\right",MissingScript:"N\u0117ra vir\u0161utinio arba apatinio indekso argumento",ExtraLeftMissingRight:"Per daug \\left arba per ma\u017Eai \\right",Misplaced:"Ne tinkamoje vietoje %1",MissingOpenForSub:"N\u0117ra atidaromojo riestinio apatinio indekso skliaustelio",MissingOpenForSup:"N\u0117ra atidaromojo riestinio vir\u0161utinio indekso skliaustelio",AmbiguousUseOf:"Nevienareik\u0161m\u0117 %1 vartosena",EnvBadEnd:"\\begin{%1} baig\u0117si \\end{%2}",EnvMissingEnd:"N\u0117ra \\end{%1}",MissingBoxFor:"N\u0117ra %1 langelio",MissingCloseBrace:"N\u0117ra u\u017Edaromojo riestinio skliaustelio",UndefinedControlSequence:"Neapibr\u0117\u017Eta valdymo seka %1",DoubleExponent:"Kartojamas laipsnio rodiklis: tikslinti riestiniais skliausteliais",DoubleSubscripts:"Kartojamas apatinis indeksas: tikslinti riestiniais skliausteliais",DoubleExponentPrime:"Pirminis skai\u010Dius kartoja laipsnio rodikl\u012F: tikslinti riestiniais skliausteliais",CantUseHash1:"Makrokomandos parametro ra\u0161mens \u201E#\u201C matematikos veiksenoje vartoti negalima",MisplacedMiddle:"%1 privalo b\u016Bti \\left ir \\right viduje",MisplacedLimits:"%1 taikomas tik operatoriams",MisplacedMoveRoot:"%1 rodomas tik \u0161aknyje",MultipleCommand:"Kartojamas %1",IntegerArg:"%1 argumentas privalo b\u016Bti sveikasis skai\u010Dius",NotMathMLToken:"%1 n\u0117ra leksema",InvalidMathMLAttr:"Netinkamas \u201EMathML\u201C po\u017Eymis: %1",UnknownAttrForElement:"%1 n\u0117ra atpa\u017E\u012Fstamas %2 po\u017Eymis",MaxMacroSub1:"Vir\u0161ytas did\u017Eiausias leid\u017Eiamas \u201EMathJax\u201C makrokomand\u0173 pakait\u0173 skai\u010Dius; galb\u016Bt vykdomas rekursinis makrokomandos kreipinys?",MaxMacroSub2:"Vir\u0161ytas did\u017Eiausias leid\u017Eiamas \u201EMathJax\u201C pakait\u0173 skai\u010Dius; galb\u016Bt vykdoma rekursin\u0117 \u201ELaTeX\u201C aplinka?",MissingArgFor:"N\u0117ra %1 argumento",ExtraAlignTab:"Per daug lygiavimo tabuliatori\u0173 \\cases tekste",BracketMustBeDimension:"%1 argumentas riestiniuose skliausteliuose privalo b\u016Bti matmuo",InvalidEnv:"Netinkamas aplinkos pavadinimas \u201E%1\u201C",UnknownEnv:"Ne\u017Einoma aplinka '%1'",ExtraCloseLooking:"Per daug riestini\u0173 skliausteli\u0173 ie\u0161kant %1",MissingCloseBracket:"%1 argumente nepavyko rasti u\u017Edaromojo \u201E]\u201C",MissingOrUnrecognizedDelim:"%1 neturi skirtuko arba \u0161is n\u0117ra atpa\u017E\u012Fstamas",MissingDimOrUnits:"%1 neturi matmens arba \u0161iojo vienet\u0173",TokenNotFoundForCommand:"%2 skirto %1 rasti nepavyko",MathNotTerminated:"Teksto langelyje matematikos neaptikta",IllegalMacroParam:"Netinkama makrokomandos parametro nuoroda",MaxBufferSize:"Vir\u0161ytas vidinio \u201EMathJax\u201C buferio dydis; galb\u016Bt vykdomas rekursinis makrokomandos kreipinys?",CommandNotAllowedInEnv:"%1 aplinkoje %2 neleid\u017Eiamas",MultipleLabel:"Apibr\u0117\u017Etas \u017Eymenos \u201E%1\u201C kartojimas",CommandAtTheBeginingOfLine:"%1 privalo b\u016Bti eilut\u0117s prad\u017Eioje",IllegalAlign:"%1 nurodyta netinkama lygiuot\u0117",BadMathStyleFor:"Netinkamas %1 matematikos stilius",PositiveIntegerArg:"%1 argumentas privalo b\u016Bti teigiamas sveikasis skai\u010Dius",ErroneousNestingEq:"Klaidingas lyg\u010Di\u0173 sandar\u0173 \u012Fd\u0117jimas",MultlineRowsOneCol:"Eilut\u0117s %1 aplinkoje privalo apimti tiksliai vien\u0105 stulpel\u012F",MultipleBBoxProperty:"%1 kartojamas %2",InvalidBBoxProperty:"\u201E%1\u201C neatrodo kaip spalva, u\u017Epildymo matmuo arba stilius",ExtraEndMissingBegin:"Per daug %1 arba per ma\u017Eai \\begingroup",GlobalNotFollowedBy:"Po %1 neina \\let, \\def arba \\newcommand",UndefinedColorModel:"Neapibr\u0117\u017Etas spalvos modelis \u201E%1\u201C",ModelArg1:"Modelio \u201E%1\u201C spalv\u0173 reik\u0161m\u0117s ra\u0161omos trimis skaitmenimis",InvalidDecimalNumber:"Netinkamas de\u0161imtainis skai\u010Dius",ModelArg2:"Modelio \u201E%1\u201C spalv\u0173 reik\u0161m\u0117s privalo b\u016Bti tarp %2 ir %3",InvalidNumber:"Neleistinas skai\u010Dius",NewextarrowArg1:"Pirmasis %1 argumentas privalo b\u016Bti valdymo sekos pavadinimas",NewextarrowArg2:"Antrasis %1 argumentas privalo b\u016Bti du kableliu skiriami sveikieji skai\u010Diai",NewextarrowArg3:"Tre\u010Diasis %1 argumentas privalo b\u016Bti unikodo ra\u0161mens skai\u010Dius",NoClosingChar:"Nepavyksta rasti u\u017Edaromojo %1",IllegalControlSequenceName:"Netinkamas %1 valdymo sekos pavadinimas",IllegalParamNumber:"%1 nurodytas netinkamas parametr\u0173 skai\u010Dius",MissingCS:"Po %1 privalo eiti valdymo seka",CantUseHash2:"Netinkama \u201E#\u201C vartosena %1 ruo\u0161inyje",SequentialParam:"%1 parametrai numeruotini nuosekliai",MissingReplacementString:"N\u0117ra %1 apibr\u0117\u017Eimo pakaitos eilut\u0117s",MismatchUseDef:"%1 vartosena nesutampa su %1 apibr\u0117\u017Eimu",RunawayArgument:"Nevaldomas %1 argumentas?",NoClosingDelim:"Nepavyksta rasti u\u017Edaromojo %1 skirtuko"}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/TeX.js");
diff --git a/localization/lt/lt.js b/localization/lt/lt.js
index 539db83141..1e2ce2d11f 100644
--- a/localization/lt/lt.js
+++ b/localization/lt/lt.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/lt/lt.js
+ *  /MathJax-v2/localization/lt/lt.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("lt",null,{menuTitle:"lietuvi\u0173",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Matematikos apdorojimo klaida",MathError:"Matematikos klaida",LoadFile:"\u012Ekeliama %1",Loading:"\u012Ekeliama",LoadFailed:"Nepavyko \u012Fkelti bylos: %1",ProcessMath:"Apdorojama matematika: %1%%",Processing:"Apdorojama",TypesetMath:"Renkami matematikos \u017Eenklai: %1%%",Typesetting:"\u017Denkl\u0173 rinkimas",MathJaxNotSupported:"J\u016Bs\u0173 nar\u0161ykl\u0117 \u201EMathJax\u201C nenumato"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!==11){return 1}else{if(a%10>=2&&a%10<=9&&(a%100<10||a%100>=20)){return 2}else{return 3}}},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/lt.js");
+MathJax.Localization.addTranslation("lt",null,{menuTitle:"lietuvi\u0173",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"Matematikos apdorojimo klaida",MathError:"Matematikos klaida",LoadFile:"\u012Ekeliama %1",Loading:"\u012Ekeliama",LoadFailed:"Nepavyko \u012Fkelti bylos: %1",ProcessMath:"Apdorojama matematika: %1%%",Processing:"Apdorojama",TypesetMath:"Renkami matematikos \u017Eenklai: %1%%",Typesetting:"\u017Denkl\u0173 rinkimas",MathJaxNotSupported:"J\u016Bs\u0173 nar\u0161ykl\u0117 \u201EMathJax\u201C nenumato"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!==11){return 1}else{if(a%10>=2&&a%10<=9&&(a%100<10||a%100>=20)){return 2}else{return 3}}},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/lt/lt.js");
diff --git a/localization/mk/FontWarnings.js b/localization/mk/FontWarnings.js
index f5322a138f..b1ad903d3a 100644
--- a/localization/mk/FontWarnings.js
+++ b/localization/mk/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/mk/FontWarnings.js
+ *  /MathJax-v2/localization/mk/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0438\u0441\u043F\u0438\u0441 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430. \u041D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u0438\u043C \u0442\u0440\u0435\u0431\u0430 \u0432\u0440\u0435\u043C\u0435 \u0434\u0430 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430\u0430\u0442, \u043F\u0430 \u0442\u0430\u043A\u0430, \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0442\u0430 \u0431\u0438 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u043B\u0430 \u043F\u043E\u0431\u0440\u0433\u0443 \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0433\u0438 \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043D\u0435\u043F\u043E\u0441\u0440\u0435\u0434\u043D\u043E \u0432\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u0441\u043A\u0430\u0442\u0430 \u043F\u0430\u043F\u043A\u0430 \u0437\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447.",imageFonts:"MathJax \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043D\u0435\u0433\u043E\u0432\u0438\u0442\u0435 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430\u043C\u0435\u0441\u0442\u043E \u043D\u0438\u0432\u043D\u0438\u0442\u0435 \u043C\u0435\u0441\u043D\u0438 \u0438\u043B\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u043F\u0430\u043D\u0434\u0430\u043D\u0438. \u041E\u0432\u0438\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0430\u0442 \u043F\u043E\u0431\u0430\u0432\u043D\u043E \u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u043D\u0435 \u0441\u0435 \u043F\u043E\u0433\u043E\u0434\u043D\u0438 \u0437\u0430 \u043F\u0435\u0447\u0430\u0442\u0435\u045A\u0435 \u043F\u0440\u0438 \u043F\u043E\u043B\u043D\u0430 \u0440\u0430\u0437\u0434\u0435\u043B\u0435\u043D\u0430 \u043C\u043E\u045C \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0435\u0447\u0430\u0442\u0430\u0440.",noFonts:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0435 \u0444\u043E\u043D\u0442\u043E\u0442 \u0437\u0430 \u043F\u0440\u0438\u043A\u0430\u0437 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438, \u0430 \u043D\u0435 \u043C\u0443 \u0441\u0435 \u0434\u043E\u0441\u0442\u0430\u043F\u043D\u0438 \u043D\u0438 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438, \u0448\u0442\u043E \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0442\u043F\u0440\u0435 \u043D\u0430 \u043E\u043F\u0448\u0442\u043E\u043D\u0430\u043C\u0435\u043D\u0441\u043A\u0438\u0442\u0435 \u0443\u043D\u0438\u043A\u043E\u0434\u043D\u0438 \u0437\u043D\u0430\u0446\u0438, \u0441\u043E \u043D\u0430\u0434\u0435\u0436 \u0434\u0435\u043A\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u045C\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043F\u0440\u0438\u043A\u0430\u0436\u0435. \u041D\u0435\u043A\u043E\u0438 \u0437\u043D\u0430\u0446\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u043D\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u0442 \u043A\u0430\u043A\u043E \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0438\u043B\u0438 \u043F\u0430\u043A \u0432\u043E\u043E\u043F\u0448\u0442\u043E \u043D\u0435\u043C\u0430 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0458\u0430\u0432\u0430\u0442.",webFonts:"\u041D\u0430\u0458\u0432\u0435\u045C\u0435\u0442\u043E \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438 \u043E\u0432\u043E\u0437\u043E\u043C\u043E\u0436\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0435\u0437\u0435\u043C\u0430\u045A\u0435 \u043D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043E\u0434 \u0441\u0435\u043C\u0440\u0435\u0436\u0458\u0435\u0442\u043E. \u041A\u0432\u0430\u043B\u0438\u0442\u0435\u0442\u043E\u0442 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0434\u043E\u0431\u0440\u0438 \u0430\u043A\u043E \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043F\u043E\u043D\u043E\u0432\u0430 \u0432\u0435\u0440\u0437\u0438\u0458\u0430 \u043D\u0430 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442 (\u0438\u043B\u0438 \u043F\u0430\u043A \u0433\u043E \u0437\u0430\u043C\u0435\u043D\u0438\u0442\u0435 \u0441\u043E \u0434\u0440\u0443\u0433).",fonts:"MathJax \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438  [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1) \u0438\u043B\u0438 [\u043E\u043D\u0438\u0435 \u043D\u0430 MathJax TeX](%2). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435.",STIXPage:"\u0421\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u0435 \u043F\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043D\u0430 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435.",TeXPage:"\u0421\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u0435 \u043F\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043D\u0430 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 MathJax TeX](%1). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/FontWarnings.js");
+MathJax.Localization.addTranslation("mk","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0438\u0441\u043F\u0438\u0441 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430. \u041D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u0438\u043C \u0442\u0440\u0435\u0431\u0430 \u0432\u0440\u0435\u043C\u0435 \u0434\u0430 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430\u0430\u0442, \u043F\u0430 \u0442\u0430\u043A\u0430, \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0442\u0430 \u0431\u0438 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u043B\u0430 \u043F\u043E\u0431\u0440\u0433\u0443 \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0433\u0438 \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043D\u0435\u043F\u043E\u0441\u0440\u0435\u0434\u043D\u043E \u0432\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u0441\u043A\u0430\u0442\u0430 \u043F\u0430\u043F\u043A\u0430 \u0437\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447.",imageFonts:"MathJax \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043D\u0435\u0433\u043E\u0432\u0438\u0442\u0435 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430\u043C\u0435\u0441\u0442\u043E \u043D\u0438\u0432\u043D\u0438\u0442\u0435 \u043C\u0435\u0441\u043D\u0438 \u0438\u043B\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u043F\u0430\u043D\u0434\u0430\u043D\u0438. \u041E\u0432\u0438\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0430\u0442 \u043F\u043E\u0431\u0430\u0432\u043D\u043E \u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u043D\u0435 \u0441\u0435 \u043F\u043E\u0433\u043E\u0434\u043D\u0438 \u0437\u0430 \u043F\u0435\u0447\u0430\u0442\u0435\u045A\u0435 \u043F\u0440\u0438 \u043F\u043E\u043B\u043D\u0430 \u0440\u0430\u0437\u0434\u0435\u043B\u0435\u043D\u0430 \u043C\u043E\u045C \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0435\u0447\u0430\u0442\u0430\u0440.",noFonts:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0435 \u0444\u043E\u043D\u0442\u043E\u0442 \u0437\u0430 \u043F\u0440\u0438\u043A\u0430\u0437 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438, \u0430 \u043D\u0435 \u043C\u0443 \u0441\u0435 \u0434\u043E\u0441\u0442\u0430\u043F\u043D\u0438 \u043D\u0438 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438, \u0448\u0442\u043E \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0442\u043F\u0440\u0435 \u043D\u0430 \u043E\u043F\u0448\u0442\u043E\u043D\u0430\u043C\u0435\u043D\u0441\u043A\u0438\u0442\u0435 \u0443\u043D\u0438\u043A\u043E\u0434\u043D\u0438 \u0437\u043D\u0430\u0446\u0438, \u0441\u043E \u043D\u0430\u0434\u0435\u0436 \u0434\u0435\u043A\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u045C\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043F\u0440\u0438\u043A\u0430\u0436\u0435. \u041D\u0435\u043A\u043E\u0438 \u0437\u043D\u0430\u0446\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u043D\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u0442 \u043A\u0430\u043A\u043E \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0438\u043B\u0438 \u043F\u0430\u043A \u0432\u043E\u043E\u043F\u0448\u0442\u043E \u043D\u0435\u043C\u0430 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0458\u0430\u0432\u0430\u0442.",webFonts:"\u041D\u0430\u0458\u0432\u0435\u045C\u0435\u0442\u043E \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438 \u043E\u0432\u043E\u0437\u043E\u043C\u043E\u0436\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0435\u0437\u0435\u043C\u0430\u045A\u0435 \u043D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043E\u0434 \u0441\u0435\u043C\u0440\u0435\u0436\u0458\u0435\u0442\u043E. \u041A\u0432\u0430\u043B\u0438\u0442\u0435\u0442\u043E\u0442 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u043F\u043E\u0434\u043E\u0431\u0440\u0438 \u0430\u043A\u043E \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043F\u043E\u043D\u043E\u0432\u0430 \u0432\u0435\u0440\u0437\u0438\u0458\u0430 \u043D\u0430 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442 (\u0438\u043B\u0438 \u043F\u0430\u043A \u0433\u043E \u0437\u0430\u043C\u0435\u043D\u0438\u0442\u0435 \u0441\u043E \u0434\u0440\u0443\u0433).",fonts:"MathJax \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438  [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1) \u0438\u043B\u0438 [\u043E\u043D\u0438\u0435 \u043D\u0430 MathJax TeX](%2). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435.",STIXPage:"\u0421\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u0435 \u043F\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043D\u0430 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435.",TeXPage:"\u0421\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430 \u0435 \u043F\u0440\u0435\u0434\u0432\u0438\u0434\u0435\u043D\u0430 \u0434\u0430 \u0433\u0438 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 MathJax TeX](%1). \u041F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u0433\u0438 \u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u0442\u0435 \u0433\u0438 \u0437\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0434\u043E\u0431\u0440\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 MathJax \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438\u0442\u0435."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/FontWarnings.js");
diff --git a/localization/mk/HTML-CSS.js b/localization/mk/HTML-CSS.js
index ce5d68c309..6ee1347d74 100644
--- a/localization/mk/HTML-CSS.js
+++ b/localization/mk/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/mk/HTML-CSS.js
+ *  /MathJax-v2/localization/mk/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",CantLoadWebFont:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u0433\u043E \u0432\u0447\u0438\u0442\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0432\u0447\u0438\u0442\u0430 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043E\u0434 \u0434\u0430\u043B\u0435\u0447\u0438\u043D\u0441\u043A\u0438 \u0434\u043E\u043C\u0430\u045C\u0438\u043D",CantFindFontUsing:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u043F\u0440\u0438\u043A\u043B\u0430\u0434\u0435\u043D \u0444\u043E\u043D\u0442 \u0448\u0442\u043E \u043A\u043E\u0440\u0438\u0441\u0442\u0438 %1",WebFontsNotAvailable:"\u041C\u0440\u0435\u0436\u043D\u0438\u0442\u0435 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0441\u0435 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u043F\u043D\u0438. \u040C\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043C \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/HTML-CSS.js");
+MathJax.Localization.addTranslation("mk","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",CantLoadWebFont:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u0433\u043E \u0432\u0447\u0438\u0442\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0432\u0447\u0438\u0442\u0430 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043E\u0434 \u0434\u0430\u043B\u0435\u0447\u0438\u043D\u0441\u043A\u0438 \u0434\u043E\u043C\u0430\u045C\u0438\u043D",CantFindFontUsing:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u043F\u0440\u0438\u043A\u043B\u0430\u0434\u0435\u043D \u0444\u043E\u043D\u0442 \u0448\u0442\u043E \u043A\u043E\u0440\u0438\u0441\u0442\u0438 %1",WebFontsNotAvailable:"\u041C\u0440\u0435\u0436\u043D\u0438\u0442\u0435 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0441\u0435 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u043F\u043D\u0438. \u040C\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043C \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438."}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/HTML-CSS.js");
diff --git a/localization/mk/HelpDialog.js b/localization/mk/HelpDialog.js
index e3f69b5cb6..6860d23ff9 100644
--- a/localization/mk/HelpDialog.js
+++ b/localization/mk/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/mk/HelpDialog.js
+ *  /MathJax-v2/localization/mk/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",MathJax:"*MathJax* \u0435 JavaScript-\u0431\u0438\u0431\u043B\u0438\u043E\u0442\u043A\u0430 \u0448\u0442\u043E \u0438\u043C \u043E\u0432\u043E\u0437\u043C\u043E\u0436\u0443\u0432\u0430 \u043D\u0430 \u0430\u0432\u0442\u043E\u0440\u0438\u0442\u0435 \u0434\u0430 \u0441\u0442\u0430\u0432\u0430\u0430\u0442 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u043D\u0438\u0432\u043D\u0438\u0442\u0435 \u0441\u0435\u043C\u0440\u0435\u0436\u043D\u0438 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438. \u041A\u0430\u043A\u043E \u0447\u0438\u0442\u0430\u0442\u0435\u043B \u043D\u0435 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u043F\u0440\u0430\u0432\u0438\u0442\u0435 \u043D\u0438\u0448\u0442\u043E, \u0431\u0438\u0434\u0435\u0458\u045C\u0438 \u0442\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435 \u045C\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0430\u0442.",Browsers:"*\u041F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438*: MathJax \u0440\u0430\u0431\u043E\u0442\u0438 \u043D\u0430 \u0441\u0438\u0442\u0435 \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438 \u043A\u0430\u043A\u043E IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0438 \u043D\u0430\u0458\u0432\u0435\u045C\u0435\u0442\u043E \u043C\u043E\u0431\u0438\u043B\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438.",Menu:"*\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u043E \u043C\u0435\u043D\u0438*: MathJax \u0441\u0442\u0430\u0432\u0430 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E \u043C\u0435\u043D\u0438 \u0432\u043E \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435. \u0414\u043E \u043D\u0435\u0433\u043E \u0441\u0435 \u0434\u043E\u0430\u0453\u0430 \u0441\u043E \u0434\u0435\u0441\u0435\u043D \u0441\u0442\u0438\u0441\u043E\u043A \u0441\u043E \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442 (\u0438\u043B\u0438 Ctrl-\u0441\u0442\u0438\u0441\u043E\u043A) \u043D\u0430 \u0431\u0438\u043B\u043E \u043A\u043E\u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430.",ShowMath:"*\u041F\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E* \u0432\u0438 \u043E\u0432\u043E\u0437\u043C\u043E\u0436\u0443\u0432\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0433\u043B\u0435\u0434\u0430\u0442\u0435 \u0438\u0437\u0432\u043E\u0440\u043D\u0438\u043E\u0442 \u043A\u043E\u0434 \u043D\u0430 \u0444\u043E\u0440\u043C\u0443\u043B\u0430\u0442\u0430 \u0438 \u0434\u0430 \u0433\u043E \u043F\u0440\u0435\u043A\u043E\u043F\u0438\u0440\u0430\u0442\u0435 (\u043A\u0430\u043A\u043E MathML \u0438\u043B\u0438 \u0432\u043E \u0438\u0437\u0432\u043E\u0440\u0435\u043D \u0444\u043E\u0440\u043C\u0430\u0442).",Settings:"*\u041F\u043E\u0441\u0442\u0430\u0432\u043A\u0438* \u0432\u0438 \u0434\u0430\u0432\u0430\u0430\u0442 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0430 \u0432\u0440\u0437 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043D\u0430 MathJax \u043A\u0430\u043A\u043E \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u043E\u0442 \u0438\u0441\u043F\u0438\u0441 \u0438 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C\u043E\u0442 \u0437\u0430 \u043F\u0440\u0438\u043A\u0430\u0437 (\u0438\u0441\u043F\u0438\u0441) \u043D\u0430 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435.",Language:"*\u0408\u0430\u0437\u0438\u043A* \u0432\u0438 \u0434\u0430\u0432\u0430 \u0434\u0430 \u0438\u0437\u0431\u0435\u0440\u0435\u0442\u0435 \u0458\u0430\u0437\u0438\u043A \u043D\u0430 \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u043F\u0440\u0435\u0434\u0443\u043F\u0440\u0435\u0434\u0443\u0432\u0430\u0447\u043A\u0438\u0442\u0435 \u043F\u043E\u0440\u0430\u043A\u0438 \u043D\u0430 MathJax.",Zoom:"*\u0417\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442*: \u0410\u043A\u043E \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u0432\u0438 \u0435 \u0441\u0438\u0442\u0435\u043D \u0437\u0430 \u0447\u0438\u0442\u0430\u045A\u0435, MathJax \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u0437\u0433\u043E\u043B\u0435\u043C\u0438 \u0437\u0430 \u0434\u0430 \u0432\u0438 \u0431\u0438\u0434\u0435 \u043F\u043E\u0447\u0438\u0442\u043B\u0438\u0432.",Accessibilty:"*\u041F\u043E\u0442\u0435\u0448\u043A\u043E\u0442\u0438\u0438 \u0441\u043E \u0432\u0438\u0434\u043E\u0442*: MathJax \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0441\u043A\u0438 \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E \u0435\u043A\u0440\u0430\u043D\u0441\u043A\u0438\u0442\u0435 \u0447\u0438\u0442\u0430\u0447\u0438 \u0437\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438\u0442\u0435 \u0434\u0430 \u0431\u0438\u0434\u0430\u0442 \u0458\u0430\u0441\u043D\u0438 \u0437\u0430 \u043B\u0438\u0446\u0430\u0442\u0430 \u0441\u043E \u0445\u0435\u043D\u0434\u0438\u043A\u0435\u043F\u0438\u0440\u0430\u043D \u0432\u0438\u0434.",Fonts:"*\u0424\u043E\u043D\u0442\u043E\u0432\u0438*: MathJax \u045C\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u0438\u0437\u0432\u0435\u0441\u043D\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438, \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0441\u0435 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447. \u0412\u043E \u0441\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E \u045C\u0435 \u0441\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0430\u0442 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0442\u0430\u0430 \u043D\u0430\u043C\u0435\u043D\u0430. \u0418\u0430\u043A\u043E \u043D\u0435 \u0441\u0435 \u0437\u0430\u0434\u043E\u043B\u0436\u0438\u0442\u0435\u043B\u043D\u0438, \u043C\u0435\u0441\u043D\u043E \u0432\u043E\u0441\u0442\u0430\u043D\u043E\u0432\u0435\u043D\u0438\u0442\u0435 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0433\u043E \u0437\u0430\u0431\u0440\u0437\u0443\u0432\u0430\u0430\u0442 \u0438\u0441\u043F\u0438\u0441\u043E\u0442. \u0412\u0438 \u043F\u0440\u0435\u0434\u043B\u0430\u0433\u0430\u043C\u0435 \u0434\u0430 \u0433\u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u0435 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1).",CloseDialog:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438 \u0433\u043E \u043F\u043E\u043C\u043E\u0448\u043D\u0438\u043E\u0442 \u0434\u0438\u0458\u0430\u043B\u043E\u0433"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/HelpDialog.js");
+MathJax.Localization.addTranslation("mk","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",MathJax:"*MathJax* \u0435 JavaScript-\u0431\u0438\u0431\u043B\u0438\u043E\u0442\u043A\u0430 \u0448\u0442\u043E \u0438\u043C \u043E\u0432\u043E\u0437\u043C\u043E\u0436\u0443\u0432\u0430 \u043D\u0430 \u0430\u0432\u0442\u043E\u0440\u0438\u0442\u0435 \u0434\u0430 \u0441\u0442\u0430\u0432\u0430\u0430\u0442 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u043D\u0438\u0432\u043D\u0438\u0442\u0435 \u0441\u0435\u043C\u0440\u0435\u0436\u043D\u0438 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0438. \u041A\u0430\u043A\u043E \u0447\u0438\u0442\u0430\u0442\u0435\u043B \u043D\u0435 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u043F\u0440\u0430\u0432\u0438\u0442\u0435 \u043D\u0438\u0448\u0442\u043E, \u0431\u0438\u0434\u0435\u0458\u045C\u0438 \u0442\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435 \u045C\u0435 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0430\u0442.",Browsers:"*\u041F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438*: MathJax \u0440\u0430\u0431\u043E\u0442\u0438 \u043D\u0430 \u0441\u0438\u0442\u0435 \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438 \u043A\u0430\u043A\u043E IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0438 \u043D\u0430\u0458\u0432\u0435\u045C\u0435\u0442\u043E \u043C\u043E\u0431\u0438\u043B\u043D\u0438 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0438.",Menu:"*\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u043E \u043C\u0435\u043D\u0438*: MathJax \u0441\u0442\u0430\u0432\u0430 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E \u043C\u0435\u043D\u0438 \u0432\u043E \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435. \u0414\u043E \u043D\u0435\u0433\u043E \u0441\u0435 \u0434\u043E\u0430\u0453\u0430 \u0441\u043E \u0434\u0435\u0441\u0435\u043D \u0441\u0442\u0438\u0441\u043E\u043A \u0441\u043E \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442 (\u0438\u043B\u0438 Ctrl-\u0441\u0442\u0438\u0441\u043E\u043A) \u043D\u0430 \u0431\u0438\u043B\u043E \u043A\u043E\u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430.",ShowMath:"*\u041F\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E* \u0432\u0438 \u043E\u0432\u043E\u0437\u043C\u043E\u0436\u0443\u0432\u0430 \u0434\u0430 \u0433\u043E \u043F\u043E\u0433\u043B\u0435\u0434\u0430\u0442\u0435 \u0438\u0437\u0432\u043E\u0440\u043D\u0438\u043E\u0442 \u043A\u043E\u0434 \u043D\u0430 \u0444\u043E\u0440\u043C\u0443\u043B\u0430\u0442\u0430 \u0438 \u0434\u0430 \u0433\u043E \u043F\u0440\u0435\u043A\u043E\u043F\u0438\u0440\u0430\u0442\u0435 (\u043A\u0430\u043A\u043E MathML \u0438\u043B\u0438 \u0432\u043E \u0438\u0437\u0432\u043E\u0440\u0435\u043D \u0444\u043E\u0440\u043C\u0430\u0442).",Settings:"*\u041F\u043E\u0441\u0442\u0430\u0432\u043A\u0438* \u0432\u0438 \u0434\u0430\u0432\u0430\u0430\u0442 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0430 \u0432\u0440\u0437 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043D\u0430 MathJax \u043A\u0430\u043A\u043E \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u043E\u0442 \u0438\u0441\u043F\u0438\u0441 \u0438 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C\u043E\u0442 \u0437\u0430 \u043F\u0440\u0438\u043A\u0430\u0437 (\u0438\u0441\u043F\u0438\u0441) \u043D\u0430 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435.",Language:"*\u0408\u0430\u0437\u0438\u043A* \u0432\u0438 \u0434\u0430\u0432\u0430 \u0434\u0430 \u0438\u0437\u0431\u0435\u0440\u0435\u0442\u0435 \u0458\u0430\u0437\u0438\u043A \u043D\u0430 \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u043F\u0440\u0435\u0434\u0443\u043F\u0440\u0435\u0434\u0443\u0432\u0430\u0447\u043A\u0438\u0442\u0435 \u043F\u043E\u0440\u0430\u043A\u0438 \u043D\u0430 MathJax.",Zoom:"*\u0417\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442*: \u0410\u043A\u043E \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u0432\u0438 \u0435 \u0441\u0438\u0442\u0435\u043D \u0437\u0430 \u0447\u0438\u0442\u0430\u045A\u0435, MathJax \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u0437\u0433\u043E\u043B\u0435\u043C\u0438 \u0437\u0430 \u0434\u0430 \u0432\u0438 \u0431\u0438\u0434\u0435 \u043F\u043E\u0447\u0438\u0442\u043B\u0438\u0432.",Accessibilty:"*\u041F\u043E\u0442\u0435\u0448\u043A\u043E\u0442\u0438\u0438 \u0441\u043E \u0432\u0438\u0434\u043E\u0442*: MathJax \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0441\u043A\u0438 \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E \u0435\u043A\u0440\u0430\u043D\u0441\u043A\u0438\u0442\u0435 \u0447\u0438\u0442\u0430\u0447\u0438 \u0437\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438\u0442\u0435 \u0434\u0430 \u0431\u0438\u0434\u0430\u0442 \u0458\u0430\u0441\u043D\u0438 \u0437\u0430 \u043B\u0438\u0446\u0430\u0442\u0430 \u0441\u043E \u0445\u0435\u043D\u0434\u0438\u043A\u0435\u043F\u0438\u0440\u0430\u043D \u0432\u0438\u0434.",Fonts:"*\u0424\u043E\u043D\u0442\u043E\u0432\u0438*: MathJax \u045C\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u0438\u0437\u0432\u0435\u0441\u043D\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438, \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0441\u0435 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447. \u0412\u043E \u0441\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E \u045C\u0435 \u0441\u0435 \u043A\u043E\u0440\u0438\u0441\u0442\u0430\u0442 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0442\u0430\u0430 \u043D\u0430\u043C\u0435\u043D\u0430. \u0418\u0430\u043A\u043E \u043D\u0435 \u0441\u0435 \u0437\u0430\u0434\u043E\u043B\u0436\u0438\u0442\u0435\u043B\u043D\u0438, \u043C\u0435\u0441\u043D\u043E \u0432\u043E\u0441\u0442\u0430\u043D\u043E\u0432\u0435\u043D\u0438\u0442\u0435 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0433\u043E \u0437\u0430\u0431\u0440\u0437\u0443\u0432\u0430\u0430\u0442 \u0438\u0441\u043F\u0438\u0441\u043E\u0442. \u0412\u0438 \u043F\u0440\u0435\u0434\u043B\u0430\u0433\u0430\u043C\u0435 \u0434\u0430 \u0433\u0438 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u0435 [\u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u043D\u0430 STIX](%1).",CloseDialog:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438 \u0433\u043E \u043F\u043E\u043C\u043E\u0448\u043D\u0438\u043E\u0442 \u0434\u0438\u0458\u0430\u043B\u043E\u0433"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/HelpDialog.js");
diff --git a/localization/mk/MathML.js b/localization/mk/MathML.js
index 96e791dd70..7851c328a0 100644
--- a/localization/mk/MathML.js
+++ b/localization/mk/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/mk/MathML.js
+ *  /MathJax-v2/localization/mk/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u0413\u0440\u0435\u0448\u0435\u043D mglyph: %1",BadMglyphFont:"\u0413\u0440\u0435\u0448\u0435\u043D \u0444\u043E\u043D\u0442: %1",MathPlayer:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438 MathPlayer.\n\n\u0414\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0432\u0438 \u0435 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D MathPlayer, \u045C\u0435 \u0442\u0440\u0435\u0431\u0430 \u043F\u0440\u0432\u043E \u0434\u0430 \u0433\u043E \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u0435.\n\u0412\u043E \u0441\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E, \u043E\u0432\u0430 \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u0432\u0430\u0448\u0438\u0442\u0435 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u043D\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u0458\u0430 \u0441\u043F\u0440\u0435\u0447\u0443\u0432\u0430\u0430\u0442 \u0440\u0430\u0431\u043E\u0442\u0430\u0442\u0430 \u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438\u0442\u0435 \u0432\u043E ActiveX. \u041F\u043E\u0458\u0434\u0435\u0442\u0435 \u0432\u043E \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u043D\u0438\u0442\u0435 \u043D\u0430\u0433\u043E\u0434\u0443\u0432\u0430\u045A\u0430 \u043D\u0430 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442 \u0438 \u0441\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u043F\u0440\u0438\u043B\u0430\u0433\u043E\u0434\u043B\u0438\u0432\u043E (Custom Level). \u0422\u0430\u043C\u0443 \u043F\u0440\u043E\u0432\u0435\u0440\u0435\u0442\u0435 \u0434\u0430\u043B\u0438 \u0432\u0438 \u0441\u0435 \u0432\u043A\u043B\u0443\u0447\u0435\u043D\u0438 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u0437\u0430 \u0440\u0430\u0431\u043E\u0442\u0430 \u0441\u043E ActiveX-\u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438 \u0438 \u0411\u0438\u043D\u0430\u0440\u043D\u0438 \u0438 \u0441\u043A\u0440\u0438\u043F\u0442\u043D\u0438 \u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u0458\u0430.\n\n\u0417\u0430\u0441\u0435\u0433\u0430 \u045C\u0435 \u0433\u043B\u0435\u0434\u0430\u0442\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u045A\u0430 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0438 \u043D\u0430\u043C\u0435\u0441\u0442\u043E \u0438\u0441\u043F\u0438\u0448\u0430\u043D\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438.",CantCreateXMLParser:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u043E\u0437\u0434\u0430\u0434\u0435 XML-\u043F\u0430\u0440\u0441\u0435\u0440 \u0437\u0430 MathML. \u041F\u0440\u043E\u0432\u0435\u0440\u0435\u0442\u0435 \u0434\u0430\u043B\u0438 \u0435 \u0432\u043A\u043B\u0443\u0447\u0435\u043D\u0430 \u0441\u0438\u0433\u0443\u0440\u043D\u043E\u0441\u043D\u0430\u0442\u0430 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0430 ActiveX-\u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u0438 \u0437\u0430 \u0441\u043A\u0440\u0438\u043F\u0442\u0438\u0440\u0430\u045A\u0435 (\u0432\u043E \u043F\u0440\u0438\u043B\u0430\u0433\u043E\u0434\u043B\u0438\u0432\u0438\u043E\u0442 \u0434\u0435\u043B (Custom Level) \u043D\u0430 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u0432\u043E \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442).\n\nMathJax \u043D\u0435\u043C\u0430 \u0434\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u0438 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435 \u043D\u0430 MathML.",UnknownNodeType:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442 \u0442\u0438\u043F \u043D\u0430 \u0458\u0430\u0437\u043E\u043B: %1",UnexpectedTextNode:"\u041D\u0435\u043E\u0447\u0435\u043A\u0443\u0432\u0430\u043D \u0458\u0430\u0437\u043E\u043B \u0432\u043E \u0442\u0435\u043A\u0441\u0442\u043E\u0442: %1",ErrorParsingMathML:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u0440\u0430\u0441\u0447\u043B\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 MathML",ParsingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u0440\u0430\u0441\u0447\u043B\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 MathML: %1",MathMLSingleElement:"MathML \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043E\u0431\u0440\u0430\u0437\u0443\u0432\u0430 \u043E\u0434 \u0435\u0434\u0435\u043D \u0435\u043B\u0435\u043C\u0435\u043D\u0442",MathMLRootElement:"MathML \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043E\u0431\u0440\u0430\u0437\u0443\u0432\u0430 \u0441\u043E \u0435\u043B\u0435\u043C\u0435\u043D\u0442 \u003Cmath\u003E, \u0430 \u043D\u0435 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/MathML.js");
+MathJax.Localization.addTranslation("mk","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"\u0413\u0440\u0435\u0448\u0435\u043D mglyph: %1",BadMglyphFont:"\u0413\u0440\u0435\u0448\u0435\u043D \u0444\u043E\u043D\u0442: %1",MathPlayer:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438 MathPlayer.\n\n\u0414\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0432\u0438 \u0435 \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D MathPlayer, \u045C\u0435 \u0442\u0440\u0435\u0431\u0430 \u043F\u0440\u0432\u043E \u0434\u0430 \u0433\u043E \u0432\u043E\u0441\u043F\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u0435.\n\u0412\u043E \u0441\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E, \u043E\u0432\u0430 \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u0432\u0430\u0448\u0438\u0442\u0435 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u043D\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u0458\u0430 \u0441\u043F\u0440\u0435\u0447\u0443\u0432\u0430\u0430\u0442 \u0440\u0430\u0431\u043E\u0442\u0430\u0442\u0430 \u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438\u0442\u0435 \u0432\u043E ActiveX. \u041F\u043E\u0458\u0434\u0435\u0442\u0435 \u0432\u043E \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u043D\u0438\u0442\u0435 \u043D\u0430\u0433\u043E\u0434\u0443\u0432\u0430\u045A\u0430 \u043D\u0430 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442 \u0438 \u0441\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u043F\u0440\u0438\u043B\u0430\u0433\u043E\u0434\u043B\u0438\u0432\u043E (Custom Level). \u0422\u0430\u043C\u0443 \u043F\u0440\u043E\u0432\u0435\u0440\u0435\u0442\u0435 \u0434\u0430\u043B\u0438 \u0432\u0438 \u0441\u0435 \u0432\u043A\u043B\u0443\u0447\u0435\u043D\u0438 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u0437\u0430 \u0440\u0430\u0431\u043E\u0442\u0430 \u0441\u043E ActiveX-\u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438 \u0438 \u0411\u0438\u043D\u0430\u0440\u043D\u0438 \u0438 \u0441\u043A\u0440\u0438\u043F\u0442\u043D\u0438 \u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u0458\u0430.\n\n\u0417\u0430\u0441\u0435\u0433\u0430 \u045C\u0435 \u0433\u043B\u0435\u0434\u0430\u0442\u0435 \u0438\u0437\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u045A\u0430 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0438 \u043D\u0430\u043C\u0435\u0441\u0442\u043E \u0438\u0441\u043F\u0438\u0448\u0430\u043D\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438.",CantCreateXMLParser:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u043E\u0437\u0434\u0430\u0434\u0435 XML-\u043F\u0430\u0440\u0441\u0435\u0440 \u0437\u0430 MathML. \u041F\u0440\u043E\u0432\u0435\u0440\u0435\u0442\u0435 \u0434\u0430\u043B\u0438 \u0435 \u0432\u043A\u043B\u0443\u0447\u0435\u043D\u0430 \u0441\u0438\u0433\u0443\u0440\u043D\u043E\u0441\u043D\u0430\u0442\u0430 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0430 ActiveX-\u043A\u043E\u043D\u0442\u0440\u043E\u043B\u0438 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u0438 \u0437\u0430 \u0441\u043A\u0440\u0438\u043F\u0442\u0438\u0440\u0430\u045A\u0435 (\u0432\u043E \u043F\u0440\u0438\u043B\u0430\u0433\u043E\u0434\u043B\u0438\u0432\u0438\u043E\u0442 \u0434\u0435\u043B (Custom Level) \u043D\u0430 \u0431\u0435\u0437\u0431\u0435\u0434\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u0432\u043E \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043E\u0442).\n\nMathJax \u043D\u0435\u043C\u0430 \u0434\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0433\u0438 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u0438 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435 \u043D\u0430 MathML.",UnknownNodeType:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442 \u0442\u0438\u043F \u043D\u0430 \u0458\u0430\u0437\u043E\u043B: %1",UnexpectedTextNode:"\u041D\u0435\u043E\u0447\u0435\u043A\u0443\u0432\u0430\u043D \u0458\u0430\u0437\u043E\u043B \u0432\u043E \u0442\u0435\u043A\u0441\u0442\u043E\u0442: %1",ErrorParsingMathML:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u0440\u0430\u0441\u0447\u043B\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 MathML",ParsingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u0440\u0430\u0441\u0447\u043B\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 MathML: %1",MathMLSingleElement:"MathML \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043E\u0431\u0440\u0430\u0437\u0443\u0432\u0430 \u043E\u0434 \u0435\u0434\u0435\u043D \u0435\u043B\u0435\u043C\u0435\u043D\u0442",MathMLRootElement:"MathML \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043E\u0431\u0440\u0430\u0437\u0443\u0432\u0430 \u0441\u043E \u0435\u043B\u0435\u043C\u0435\u043D\u0442 \u003Cmath\u003E, \u0430 \u043D\u0435 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/MathML.js");
diff --git a/localization/mk/MathMenu.js b/localization/mk/MathMenu.js
index 6827f5dede..2ad81cad15 100644
--- a/localization/mk/MathMenu.js
+++ b/localization/mk/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/mk/MathMenu.js
+ *  /MathJax-v2/localization/mk/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E",MathMLcode:"MathML-\u043A\u043E\u0434",OriginalMathML:"\u0418\u0437\u0432\u043E\u0440\u0435\u043D MathML",TeXCommands:"TeX-\u043D\u0430\u0440\u0435\u0434\u0431\u0438",AsciiMathInput:"AsciiMathML-\u0432\u043D\u043E\u0441",Original:"\u0418\u0437\u0432\u043E\u0440\u0435\u043D \u043E\u0431\u043B\u0438\u043A",ErrorMessage:"\u0418\u0437\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u045A\u0435 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",Annotation:"\u041F\u0440\u0438\u0431\u0435\u043B\u0435\u0448\u043A\u0438",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0421\u043E\u0434\u0440\u0436\u0438\u043D\u0441\u043A\u0438 MathML",OpenMath:"OpenMath",texHints:"\u041F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0458 \u043F\u043E\u043C\u043E\u0448\u043D\u0438 \u043F\u0440\u0435\u0434\u043B\u043E\u0437\u0438 \u043E\u0434 TeX \u0432\u043E MathML",Settings:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438",ZoomTrigger:"\u0417\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",Hover:"\u0421\u0442\u0440\u0435\u043B\u043A\u0430 \u0432\u0440\u0437 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430\u0442\u0430",Click:"\u0421\u0442\u0438\u0441\u043E\u043A",DoubleClick:"\u0414\u0432\u043E\u0435\u043D \u0441\u0442\u0438\u0441\u043E\u043A",NoZoom:"\u0411\u0435\u0437 \u0437\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",TriggerRequires:"\u0417\u0430 \u0434\u0430 \u0433\u043E \u0437\u0433\u043E\u043B\u0435\u043C\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442:",Option:"\u041C\u043E\u0436\u043D\u043E\u0441\u0442",Alt:"Alt",Command:"\u2318",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u0427\u0438\u043D\u0438\u0442\u0435\u043B \u2014 \u041F\u0440\u0438\u0431\u043B\u0438\u0436\u0443\u0432\u0430\u045A\u0435",Renderer:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0447",MPHandles:"\u041D\u0435\u043A\u0430 MathPlayer \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E:",MenuEvents:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u043C\u0435\u043D\u0438\u0442\u043E",MouseEvents:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442",MenuAndMouse:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442",FontPrefs:"\u041D\u0430\u0433\u043E\u0434\u0443\u0432\u0430\u045A\u0430 \u043D\u0430 \u0444\u043E\u043D\u0442\u043E\u0442",ForHTMLCSS:"\u0417\u0430 HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0441\u043A\u0438",TeXLocal:"TeX (\u043C\u0435\u0441\u043D\u043E)",TeXWeb:"TeX (\u043C\u0440\u0435\u0436\u043D\u043E)",TeXImage:"TeX (\u0441\u043B\u0438\u043A\u0430)",STIXLocal:"STIX (\u043C\u0435\u0441\u043D\u043E)",STIXWeb:"STIX (\u043C\u0440\u0435\u0436\u043D\u043E)",AsanaMathWeb:"Asana Math (\u043C\u0440\u0435\u0436\u043D\u043E)",GyrePagellaWeb:"Gyre Pagella (\u043C\u0440\u0435\u0436\u043D\u043E)",GyreTermesWeb:"Gyre Termes (\u043C\u0440\u0435\u0436\u043D\u043E)",LatinModernWeb:"Latin Modern (\u043C\u0440\u0435\u0436\u043D\u043E)",NeoEulerWeb:"Neo Euler (\u043C\u0440\u0435\u0436\u043D\u043E)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E \u043C\u0435\u043D\u0438",Browser:"\u041F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447",Scale:"\u041F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430 \u0458\u0430 \u0441\u0435\u0442\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u0432\u043E \u0440\u0430\u0437\u043C\u0435\u0440...",Discoverable:"\u0418\u0441\u0442\u0430\u043A\u043D\u0443\u0432\u0430\u0458 (\u043F\u043E\u0442\u0446\u0440\u0442\u0443\u0432\u0430\u0458) \u043F\u0440\u0438 \u043E\u0434\u0435\u045A\u0435 \u0441\u043E \u0441\u0442\u0440\u0435\u043B\u043A\u0430\u0442\u0430 \u0432\u0440\u0437 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430\u0442\u0430",Locale:"\u0408\u0430\u0437\u0438\u043A",LoadLocale:"\u0412\u0447\u0438\u0442\u0430\u0458 \u043E\u0434 URL ...",About:"\u0417\u0430 MathJax",Help:"\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",localTeXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 TeX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",webTeXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 TeX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",imagefonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438",localSTIXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0435\u0441\u043D\u0438 STIX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",webSVGfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 SVG-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",genericfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043E\u043F\u0448\u0442\u043E\u043D\u0430\u043C\u0435\u043D\u0441\u043A\u0438 \u0443\u043D\u0438\u043A\u043E\u0434\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438",wofforotffonts:"WOFF- \u0438\u043B\u0438 OTF-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",eotffonts:"EOT-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",svgfonts:"SVG-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",WebkitNativeMMLWarning:"\u0412\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435\u043C\u0430 \u0432\u0433\u0440\u0430\u0434\u0435\u043D\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0430\u043A\u043E \u0441\u0435 \u043F\u0440\u0435\u0444\u0440\u043B\u0438\u0442\u0435 \u043D\u0430 \u043D\u0435\u0433\u043E, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043C\u043E\u0436\u0430\u0442 \u0434\u0430 \u0441\u0442\u0430\u043D\u0430\u0442 \u043D\u0435\u0447\u0438\u0442\u043B\u0438\u0432\u0438.",MSIENativeMMLWarning:"Internet Explorer \u0433\u043E \u0431\u0430\u0440\u0430 \u0434\u043E\u0434\u0430\u0442\u043E\u043A\u043E\u0442 MathPlayer \u0437\u0430 \u0434\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E MathML.",OperaNativeMMLWarning:"Opera \u0438\u043C\u0430 \u043E\u0433\u0440\u0430\u043D\u0438\u0447\u0435\u043D\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML, \u0448\u0442\u043E \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",SafariNativeMMLWarning:"\u0412\u0433\u0440\u0430\u0434\u0435\u043D\u0430\u0442\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u0438 \u0438\u043C\u0430 \u0441\u0438\u0442\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u043D\u0430 MathJax, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",FirefoxNativeMMLWarning:"\u0412\u0433\u0440\u0430\u0434\u0435\u043D\u0430\u0442\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u0438 \u0438\u043C\u0430 \u0441\u0438\u0442\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u043D\u0430 MathJax, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",MSIESVGWarning:"Internet Explorer \u043D\u0435\u043C\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 SVG \u0432\u043E \u0432\u0435\u0440\u0437\u0438\u0438\u0442\u0435 \u043F\u0440\u0435\u0434 IE9 \u0438\u043B\u0438 \u043A\u043E\u0433\u0430 \u0435\u043C\u0443\u043B\u0438\u0440\u0430 IE8 \u0438\u043B\u0438 \u043F\u043E\u0441\u0442\u0430\u0440\u0438 \u0432\u0435\u0440\u0437\u0438\u0438. \u0417\u0430\u0442\u043E\u0430, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0435\u043C\u0430 \u0434\u0430 \u0441\u0435 \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0430\u0432\u0438\u043B\u043D\u043E.",LoadURL:"\u0412\u0447\u0438\u0442\u0430\u0458 \u0433\u0438 \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u043E\u0434 \u0441\u043B\u0435\u0434\u043D\u0430\u0432\u0430 URL:",BadURL:"URL-\u0430\u0434\u0440\u0435\u0441\u0430\u0442\u0430 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0430 \u0441\u043E JavaScript-\u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u0448\u0442\u043E \u0433\u0438 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u0437\u0430 MathJax. JavaScript-\u043F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0438\u0442\u0435 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0437\u0430\u0432\u0440\u0448\u0443\u0432\u0430\u0430\u0442 \u0441\u043E \u043D\u0430\u0441\u0442\u0430\u0432\u043A\u0430\u0442\u0430 \u201E.js\u201C",BadData:"\u041D\u0435 \u0443\u0441\u043F\u0435\u0430\u0432 \u0434\u0430 \u0433\u0438 \u0432\u0447\u0438\u0442\u0430\u043C \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u043E\u0434 %1",SwitchAnyway:"\u0421\u0435\u043F\u0430\u043A \u0434\u0430 \u0433\u043E \u0441\u043C\u0435\u043D\u0430\u043C \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0447\u043E\u0442?\n\n(\u041E\u041A \u0437\u0430 \u0434\u0430 \u0441\u0435 \u0441\u043C\u0435\u043D\u0438 \u0438\u043B\u0438 \u041E\u0422\u041A\u0410\u0416\u0418 \u0437\u0430 \u0434\u0430 \u043F\u0440\u043E\u0434\u043E\u043B\u0436\u0438\u0442\u0435 \u0441\u043E \u043F\u043E\u0441\u0442\u043E\u0435\u0447\u043A\u0438\u043E\u0442)",ScaleMath:"\u0420\u0430\u0437\u043C\u0435\u0440 \u043D\u0430 \u0441\u0435\u0442\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 (\u0432\u043E \u043E\u0434\u043D\u043E\u0441 \u043D\u0430 \u043E\u043A\u043E\u043B\u043D\u0438\u043E\u0442 \u0442\u0435\u043A\u0441\u0442, \u043A\u0430\u043A\u043E \u043F\u043E\u0441\u0442\u043E\u0442\u043E\u043A):",NonZeroScale:"\u0420\u0430\u0437\u043C\u0435\u0440\u043E\u0442 \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043D\u0443\u043B\u0430",PercentScale:"\u0420\u0430\u0437\u043C\u0435\u0440\u043E\u0442 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0435 \u0438\u0437\u0440\u0430\u0437\u0435\u043D \u0432\u043E \u043F\u043E\u0441\u0442\u043E\u0442\u043E\u043A (\u043D\u0430 \u043F\u0440. 120%%)",IE8warning:"\u0421\u043E \u043E\u0432\u0430 \u045C\u0435 \u0433\u0438 \u0438\u0441\u043A\u043B\u0443\u0447\u0438\u0442\u0435 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043E\u0434 \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u043C\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u0432\u043E MathJax, \u043D\u043E \u043C\u0435\u043D\u0438\u0442\u043E \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u0433\u043E \u0434\u043E\u0431\u0438\u0435\u0442\u0435 \u0441\u043E Alt-\u0441\u0442\u0438\u0441\u043E\u043A \u043D\u0430 \u043D\u0435\u043A\u043E\u0458 \u0438\u0437\u0440\u0430\u0437.\n\n\u041D\u0430\u0432\u0438\u0441\u0442\u0438\u043D\u0430 \u0434\u0430 \u0433\u0438 \u0438\u0437\u043C\u0435\u0430\u043C \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438\u0442\u0435 \u043D\u0430 MathPlayer?",IE9warning:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0442\u043E \u043C\u0435\u043D\u0438 \u043D\u0430 MathJax \u045C\u0435 \u0431\u0438\u0434\u0435 \u0438\u0441\u043A\u043B\u0443\u0447\u0435\u043D\u043E, \u043D\u043E \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u043D\u0430\u043F\u0440\u0430\u0432\u0438\u0442\u0435 Alt-\u0441\u0442\u0438\u0441\u043E\u043A \u043D\u0430 \u0438\u0437\u0440\u0430\u0437\u043E\u0442 \u0437\u0430 \u0434\u0430 \u0433\u043E \u0434\u043E\u0431\u0438\u0435\u0442\u0435 \u043C\u0435\u043D\u0438\u0442\u043E.",NoOriginalForm:"\u041D\u0435\u043C\u0430 \u0438\u0437\u0432\u043E\u0440\u0435\u043D \u043E\u0431\u043B\u0438\u043A \u043D\u0430 \u0440\u0430\u0441\u043F\u043E\u043B\u0430\u0433\u0430\u045A\u0435",Close:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438",EqSource:"\u0418\u0437\u0432\u043E\u0440 \u043D\u0430 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435 \u043D\u0430 MathJax",CloseAboutDialog:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438 \u0433\u043E \u0434\u0438\u0458\u0430\u043B\u043E\u0433\u043E\u0442 \u0437\u0430 MathJax",FastPreview:"\u0411\u0440\u0437 \u043F\u0440\u0435\u0433\u043B\u0435\u0434",AssistiveMML:"\u041F\u043E\u043C\u043E\u0448\u0435\u043D MathML",InTabOrder:"\u0412\u043A\u043B\u0443\u0447\u0438 \u0432\u043E \u0440\u0435\u0434\u043E\u0441\u043B\u0435\u0434\u043E\u0442 \u043D\u0430 \u0458\u0430\u0437\u0438\u0447\u0438\u045A\u0430"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/MathMenu.js");
+MathJax.Localization.addTranslation("mk","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E",MathMLcode:"MathML-\u043A\u043E\u0434",OriginalMathML:"\u0418\u0437\u0432\u043E\u0440\u0435\u043D MathML",TeXCommands:"TeX-\u043D\u0430\u0440\u0435\u0434\u0431\u0438",AsciiMathInput:"AsciiMathML-\u0432\u043D\u043E\u0441",Original:"\u0418\u0437\u0432\u043E\u0440\u0435\u043D \u043E\u0431\u043B\u0438\u043A",ErrorMessage:"\u0418\u0437\u0432\u0435\u0441\u0442\u0443\u0432\u0430\u045A\u0435 \u0437\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",Annotation:"\u041F\u0440\u0438\u0431\u0435\u043B\u0435\u0448\u043A\u0438",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0421\u043E\u0434\u0440\u0436\u0438\u043D\u0441\u043A\u0438 MathML",OpenMath:"OpenMath",texHints:"\u041F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430\u0458 \u043F\u043E\u043C\u043E\u0448\u043D\u0438 \u043F\u0440\u0435\u0434\u043B\u043E\u0437\u0438 \u043E\u0434 TeX \u0432\u043E MathML",Settings:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438",ZoomTrigger:"\u0417\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",Hover:"\u0421\u0442\u0440\u0435\u043B\u043A\u0430 \u0432\u0440\u0437 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430\u0442\u0430",Click:"\u0421\u0442\u0438\u0441\u043E\u043A",DoubleClick:"\u0414\u0432\u043E\u0435\u043D \u0441\u0442\u0438\u0441\u043E\u043A",NoZoom:"\u0411\u0435\u0437 \u0437\u0433\u043E\u043B\u0435\u043C\u0443\u0432\u0430\u045A\u0435",TriggerRequires:"\u0417\u0430 \u0434\u0430 \u0433\u043E \u0437\u0433\u043E\u043B\u0435\u043C\u0438\u0442\u0435 \u0438\u0441\u043F\u0438\u0441\u043E\u0442:",Option:"\u041C\u043E\u0436\u043D\u043E\u0441\u0442",Alt:"Alt",Command:"\u2318",Control:"Ctrl",Shift:"Shift",ZoomFactor:"\u0427\u0438\u043D\u0438\u0442\u0435\u043B \u2014 \u041F\u0440\u0438\u0431\u043B\u0438\u0436\u0443\u0432\u0430\u045A\u0435",Renderer:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0447",MPHandles:"\u041D\u0435\u043A\u0430 MathPlayer \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E:",MenuEvents:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u043C\u0435\u043D\u0438\u0442\u043E",MouseEvents:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442",MenuAndMouse:"\u041F\u043E\u0441\u0442\u0430\u043F\u043A\u0438 \u0441\u043E \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u0433\u043B\u0443\u0448\u0435\u0446\u043E\u0442",FontPrefs:"\u041D\u0430\u0433\u043E\u0434\u0443\u0432\u0430\u045A\u0430 \u043D\u0430 \u0444\u043E\u043D\u0442\u043E\u0442",ForHTMLCSS:"\u0417\u0430 HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0441\u043A\u0438",TeXLocal:"TeX (\u043C\u0435\u0441\u043D\u043E)",TeXWeb:"TeX (\u043C\u0440\u0435\u0436\u043D\u043E)",TeXImage:"TeX (\u0441\u043B\u0438\u043A\u0430)",STIXLocal:"STIX (\u043C\u0435\u0441\u043D\u043E)",STIXWeb:"STIX (\u043C\u0440\u0435\u0436\u043D\u043E)",AsanaMathWeb:"Asana Math (\u043C\u0440\u0435\u0436\u043D\u043E)",GyrePagellaWeb:"Gyre Pagella (\u043C\u0440\u0435\u0436\u043D\u043E)",GyreTermesWeb:"Gyre Termes (\u043C\u0440\u0435\u0436\u043D\u043E)",LatinModernWeb:"Latin Modern (\u043C\u0440\u0435\u0436\u043D\u043E)",NeoEulerWeb:"Neo Euler (\u043C\u0440\u0435\u0436\u043D\u043E)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E \u043C\u0435\u043D\u0438",Browser:"\u041F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447",Scale:"\u041F\u0440\u0438\u043A\u0430\u0436\u0443\u0432\u0430 \u0458\u0430 \u0441\u0435\u0442\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u0432\u043E \u0440\u0430\u0437\u043C\u0435\u0440...",Discoverable:"\u0418\u0441\u0442\u0430\u043A\u043D\u0443\u0432\u0430\u0458 (\u043F\u043E\u0442\u0446\u0440\u0442\u0443\u0432\u0430\u0458) \u043F\u0440\u0438 \u043E\u0434\u0435\u045A\u0435 \u0441\u043E \u0441\u0442\u0440\u0435\u043B\u043A\u0430\u0442\u0430 \u0432\u0440\u0437 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430\u0442\u0430",Locale:"\u0408\u0430\u0437\u0438\u043A",LoadLocale:"\u0412\u0447\u0438\u0442\u0430\u0458 \u043E\u0434 URL ...",About:"\u0417\u0430 MathJax",Help:"\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",localTeXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 TeX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",webTeXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 TeX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",imagefonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u0441\u043B\u0438\u043A\u043E\u0432\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438",localSTIXfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0435\u0441\u043D\u0438 STIX-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",webSVGfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 SVG-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",genericfonts:"\u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043E\u043F\u0448\u0442\u043E\u043D\u0430\u043C\u0435\u043D\u0441\u043A\u0438 \u0443\u043D\u0438\u043A\u043E\u0434\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438",wofforotffonts:"WOFF- \u0438\u043B\u0438 OTF-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",eotffonts:"EOT-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",svgfonts:"SVG-\u0444\u043E\u043D\u0442\u043E\u0432\u0438",WebkitNativeMMLWarning:"\u0412\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435\u043C\u0430 \u0432\u0433\u0440\u0430\u0434\u0435\u043D\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0430\u043A\u043E \u0441\u0435 \u043F\u0440\u0435\u0444\u0440\u043B\u0438\u0442\u0435 \u043D\u0430 \u043D\u0435\u0433\u043E, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043C\u043E\u0436\u0430\u0442 \u0434\u0430 \u0441\u0442\u0430\u043D\u0430\u0442 \u043D\u0435\u0447\u0438\u0442\u043B\u0438\u0432\u0438.",MSIENativeMMLWarning:"Internet Explorer \u0433\u043E \u0431\u0430\u0440\u0430 \u0434\u043E\u0434\u0430\u0442\u043E\u043A\u043E\u0442 MathPlayer \u0437\u0430 \u0434\u0430 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0440\u0430\u0431\u043E\u0442\u0438 \u0441\u043E MathML.",OperaNativeMMLWarning:"Opera \u0438\u043C\u0430 \u043E\u0433\u0440\u0430\u043D\u0438\u0447\u0435\u043D\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML, \u0448\u0442\u043E \u0437\u043D\u0430\u0447\u0438 \u0434\u0435\u043A\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",SafariNativeMMLWarning:"\u0412\u0433\u0440\u0430\u0434\u0435\u043D\u0430\u0442\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u0438 \u0438\u043C\u0430 \u0441\u0438\u0442\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u043D\u0430 MathJax, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",FirefoxNativeMMLWarning:"\u0412\u0433\u0440\u0430\u0434\u0435\u043D\u0430\u0442\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 MathML \u0432\u043E \u0432\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u0438 \u0438\u043C\u0430 \u0441\u0438\u0442\u0435 \u0444\u0443\u043D\u043A\u0446\u0438\u0438 \u043D\u0430 MathJax, \u043F\u0430 \u0437\u0430\u0442\u043E\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442 \u043D\u0430 \u043D\u0435\u043A\u043E\u0438 \u0438\u0437\u0440\u0435\u0437\u0438 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043B\u043E\u0448.",MSIESVGWarning:"Internet Explorer \u043D\u0435\u043C\u0430 \u043F\u043E\u0434\u0434\u0440\u0448\u043A\u0430 \u0437\u0430 SVG \u0432\u043E \u0432\u0435\u0440\u0437\u0438\u0438\u0442\u0435 \u043F\u0440\u0435\u0434 IE9 \u0438\u043B\u0438 \u043A\u043E\u0433\u0430 \u0435\u043C\u0443\u043B\u0438\u0440\u0430 IE8 \u0438\u043B\u0438 \u043F\u043E\u0441\u0442\u0430\u0440\u0438 \u0432\u0435\u0440\u0437\u0438\u0438. \u0417\u0430\u0442\u043E\u0430, \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0435\u043C\u0430 \u0434\u0430 \u0441\u0435 \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0430\u0432\u0438\u043B\u043D\u043E.",LoadURL:"\u0412\u0447\u0438\u0442\u0430\u0458 \u0433\u0438 \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u043E\u0434 \u0441\u043B\u0435\u0434\u043D\u0430\u0432\u0430 URL:",BadURL:"URL-\u0430\u0434\u0440\u0435\u0441\u0430\u0442\u0430 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0430 \u0441\u043E JavaScript-\u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u0448\u0442\u043E \u0433\u0438 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0443\u0432\u0430\u0430\u0442 \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u0437\u0430 MathJax. JavaScript-\u043F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0438\u0442\u0435 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0437\u0430\u0432\u0440\u0448\u0443\u0432\u0430\u0430\u0442 \u0441\u043E \u043D\u0430\u0441\u0442\u0430\u0432\u043A\u0430\u0442\u0430 \u201E.js\u201C",BadData:"\u041D\u0435 \u0443\u0441\u043F\u0435\u0430\u0432 \u0434\u0430 \u0433\u0438 \u0432\u0447\u0438\u0442\u0430\u043C \u043F\u0440\u0435\u0432\u043E\u0434\u043D\u0438\u0442\u0435 \u043F\u043E\u0434\u0430\u0442\u043E\u0446\u0438 \u043E\u0434 %1",SwitchAnyway:"\u0421\u0435\u043F\u0430\u043A \u0434\u0430 \u0433\u043E \u0441\u043C\u0435\u043D\u0430\u043C \u0438\u0441\u043F\u0438\u0448\u0443\u0432\u0430\u0447\u043E\u0442?\n\n(\u041E\u041A \u0437\u0430 \u0434\u0430 \u0441\u0435 \u0441\u043C\u0435\u043D\u0438 \u0438\u043B\u0438 \u041E\u0422\u041A\u0410\u0416\u0418 \u0437\u0430 \u0434\u0430 \u043F\u0440\u043E\u0434\u043E\u043B\u0436\u0438\u0442\u0435 \u0441\u043E \u043F\u043E\u0441\u0442\u043E\u0435\u0447\u043A\u0438\u043E\u0442)",ScaleMath:"\u0420\u0430\u0437\u043C\u0435\u0440 \u043D\u0430 \u0441\u0435\u0442\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 (\u0432\u043E \u043E\u0434\u043D\u043E\u0441 \u043D\u0430 \u043E\u043A\u043E\u043B\u043D\u0438\u043E\u0442 \u0442\u0435\u043A\u0441\u0442, \u043A\u0430\u043A\u043E \u043F\u043E\u0441\u0442\u043E\u0442\u043E\u043A):",NonZeroScale:"\u0420\u0430\u0437\u043C\u0435\u0440\u043E\u0442 \u043D\u0435 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043D\u0443\u043B\u0430",PercentScale:"\u0420\u0430\u0437\u043C\u0435\u0440\u043E\u0442 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0435 \u0438\u0437\u0440\u0430\u0437\u0435\u043D \u0432\u043E \u043F\u043E\u0441\u0442\u043E\u0442\u043E\u043A (\u043D\u0430 \u043F\u0440. 120%%)",IE8warning:"\u0421\u043E \u043E\u0432\u0430 \u045C\u0435 \u0433\u0438 \u0438\u0441\u043A\u043B\u0443\u0447\u0438\u0442\u0435 \u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438\u0442\u0435 \u043E\u0434 \u043C\u0435\u043D\u0438\u0442\u043E \u0438 \u043C\u0435\u043D\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u0432\u043E MathJax, \u043D\u043E \u043C\u0435\u043D\u0438\u0442\u043E \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u0433\u043E \u0434\u043E\u0431\u0438\u0435\u0442\u0435 \u0441\u043E Alt-\u0441\u0442\u0438\u0441\u043E\u043A \u043D\u0430 \u043D\u0435\u043A\u043E\u0458 \u0438\u0437\u0440\u0430\u0437.\n\n\u041D\u0430\u0432\u0438\u0441\u0442\u0438\u043D\u0430 \u0434\u0430 \u0433\u0438 \u0438\u0437\u043C\u0435\u0430\u043C \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438\u0442\u0435 \u043D\u0430 MathPlayer?",IE9warning:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0442\u043E \u043C\u0435\u043D\u0438 \u043D\u0430 MathJax \u045C\u0435 \u0431\u0438\u0434\u0435 \u0438\u0441\u043A\u043B\u0443\u0447\u0435\u043D\u043E, \u043D\u043E \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u043D\u0430\u043F\u0440\u0430\u0432\u0438\u0442\u0435 Alt-\u0441\u0442\u0438\u0441\u043E\u043A \u043D\u0430 \u0438\u0437\u0440\u0430\u0437\u043E\u0442 \u0437\u0430 \u0434\u0430 \u0433\u043E \u0434\u043E\u0431\u0438\u0435\u0442\u0435 \u043C\u0435\u043D\u0438\u0442\u043E.",NoOriginalForm:"\u041D\u0435\u043C\u0430 \u0438\u0437\u0432\u043E\u0440\u0435\u043D \u043E\u0431\u043B\u0438\u043A \u043D\u0430 \u0440\u0430\u0441\u043F\u043E\u043B\u0430\u0433\u0430\u045A\u0435",Close:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438",EqSource:"\u0418\u0437\u0432\u043E\u0440 \u043D\u0430 \u0440\u0430\u0432\u0435\u043D\u043A\u0438\u0442\u0435 \u043D\u0430 MathJax",CloseAboutDialog:"\u0417\u0430\u0442\u0432\u043E\u0440\u0438 \u0433\u043E \u0434\u0438\u0458\u0430\u043B\u043E\u0433\u043E\u0442 \u0437\u0430 MathJax",FastPreview:"\u0411\u0440\u0437 \u043F\u0440\u0435\u0433\u043B\u0435\u0434",AssistiveMML:"\u041F\u043E\u043C\u043E\u0448\u0435\u043D MathML",InTabOrder:"\u0412\u043A\u043B\u0443\u0447\u0438 \u0432\u043E \u0440\u0435\u0434\u043E\u0441\u043B\u0435\u0434\u043E\u0442 \u043D\u0430 \u0458\u0430\u0437\u0438\u0447\u0438\u045A\u0430"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/MathMenu.js");
diff --git a/localization/mk/TeX.js b/localization/mk/TeX.js
index bc8f754d17..ed4d9a460a 100644
--- a/localization/mk/TeX.js
+++ b/localization/mk/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/mk/TeX.js
+ *  /MathJax-v2/localization/mk/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430",ExtraCloseMissingOpen:"\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430",MissingLeftExtraRight:"\u041D\u0435\u043C\u0430\u0442\u0435 \u201E\\left\u201C \u0438\u043B\u0438 \u0438\u043C\u0430\u0442\u0435 \u0432\u0438\u0448\u043E\u043A \u201E\\right\u201C",MissingScript:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 \u0433\u043E\u0440\u0435\u043D \u0438\u043B\u0438 \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",ExtraLeftMissingRight:"\u041D\u0435\u043C\u0430\u0442\u0435 \u201E\\right\u201C \u0438\u043B\u0438 \u0438\u043C\u0430\u0442\u0435 \u0432\u0438\u0448\u043E\u043A \u201E\\left\u201C",Misplaced:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D %1",MissingOpenForSub:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0437\u0430 \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",MissingOpenForSup:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0437\u0430 \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",AmbiguousUseOf:"\u041D\u0435\u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u0431\u0440\u0448\u0438 \u0441\u043E \\end{%2}",EnvMissingEnd:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \\end{%1}",MissingBoxFor:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043A\u0443\u0442\u0438\u0458\u043A\u0430 \u0437\u0430 %1",MissingCloseBrace:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430",UndefinedControlSequence:"\u041D\u0435\u043F\u0440\u0435\u043F\u043E\u0437\u043D\u0430\u0435\u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430 %1",DoubleExponent:"\u0414\u0432\u043E\u0435\u043D \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",DoubleSubscripts:"\u0414\u0432\u043E\u0435\u043D \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",DoubleExponentPrime:"\u041F\u0440\u0438\u043C\u043E\u0442 \u043F\u0440\u0430\u0432\u0438 \u0434\u0432\u043E\u0435\u043D \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043B\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u0433\u043E \u043A\u043E\u0440\u0438\u0441\u0442\u0438\u0442\u0435 \u043C\u0430\u043A\u0440\u043E\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0430\u0440\u0441\u043A\u0438\u043E\u0442 \u0437\u043D\u0430\u043A \u201E#\u201C \u0432\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0440\u0435\u0436\u0438\u043C",MisplacedMiddle:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u201E\\left\u201C \u0438\u043B\u0438 \u201E\\right\u201C",MisplacedLimits:"%1 \u0441\u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0430 \u0441\u0430\u043C\u043E \u0437\u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0438",MisplacedMoveRoot:"%1 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u0458\u0430\u0432\u0443\u0432\u0430 \u0441\u0430\u043C\u043E \u0432\u043E \u043A\u043E\u0440\u0435\u043D",MultipleCommand:"%1 \u0441\u0435 \u0458\u0430\u0432\u0443\u0432\u0430 \u043F\u043E\u0432\u0435\u045C\u0435\u043F\u0430\u0442\u0438",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0446\u0435\u043B \u0431\u0440\u043E\u0458",NotMathMLToken:"%1 \u043D\u0435 \u0435 \u0448\u0438\u0444\u0440\u0435\u043D \u0435\u043B\u0435\u043C\u0435\u043D\u0442",InvalidMathMLAttr:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 MathML-\u0430\u0442\u0440\u0438\u0431\u0443\u0442: %1",UnknownAttrForElement:"%1 \u043D\u0435 \u0435 \u043F\u0440\u0438\u0437\u043D\u0430\u0435\u043D \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0437\u0430 %2",MaxMacroSub1:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442 \u0435 \u043D\u0430\u0458\u0433\u043E\u043B\u0435\u043C\u0438\u043E\u0442 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0438 \u0432\u043E MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0435\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u043E \u043F\u043E\u0432\u0438\u043A\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0430\u0442\u0430?",MaxMacroSub2:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442 \u0435 \u043D\u0430\u0458\u0433\u043E\u043B\u0435\u043C\u0438\u043E\u0442 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0438 \u0432\u043E MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0430\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u0430 LaTeX-\u043E\u043A\u043E\u043B\u0438\u043D\u0430?",MissingArgFor:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1",ExtraAlignTab:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u0435\u043D \u0437\u043D\u0430\u043A \u0437\u0430 \u043F\u043E\u0440\u0430\u043C\u043D\u0443\u0432\u0430\u045A\u0435 \u0432\u043E \u0442\u0435\u043A\u0441\u0442\u043E\u0442 \u043D\u0430 \u201E\\cases\u201C",BracketMustBeDimension:"\u0417\u0430\u0433\u0440\u0430\u0434\u0435\u043D\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430",InvalidEnv:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u0438\u043C\u0435 \u043D\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u201E%1\u201C",UnknownEnv:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430 \u201E%1\u201C",ExtraCloseLooking:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0432\u043E \u043F\u0440\u0435\u0431\u0430\u0440\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 %1",MissingCloseBracket:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0432 \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u043E ']' \u0437\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0432\u043E %1",MissingOrUnrecognizedDelim:"\u041E\u0442\u0441\u0443\u0442\u0435\u043D \u0438\u043B\u0438 \u043D\u0435\u043F\u0440\u0435\u043F\u043E\u0437\u043D\u0430\u0435\u043D \u043E\u0434\u0434\u0435\u043B\u0443\u0432\u0430\u0447 \u0437\u0430 %1",MissingDimOrUnits:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430 \u0438\u043B\u0438 \u043D\u0435\u0458\u0437\u0438\u043D\u0438 \u0435\u0434\u0438\u043D\u0438\u0446\u0438 \u0437\u0430 %1",TokenNotFoundForCommand:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0432 \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0430\u043C %1 \u0437\u0430 %2",MathNotTerminated:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430\u0442\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430 \u043D\u0435 \u0435 \u0437\u0430\u0432\u0440\u0448\u0435\u043D\u0430 \u0432\u043E \u043F\u043E\u043B\u0435\u0442\u043E \u0437\u0430 \u0442\u0435\u043A\u0441\u0442",IllegalMacroParam:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D \u043C\u0430\u043A\u0440\u043E\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0430\u0440",MaxBufferSize:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442\u0430 \u0435 \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 \u0432\u043D\u0430\u0442\u0440\u0435\u0448\u043D\u0438\u043E\u0442 \u043C\u0435\u0453\u0443\u0441\u043A\u043B\u0430\u0434 \u043D\u0430 MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0435\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u043E \u043C\u0430\u043A\u0440\u043E\u043F\u043E\u0432\u0438\u043A\u0443\u0432\u0430\u045A\u0435?",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0441\u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0430 \u0432\u043E \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 %2",MultipleLabel:"\u041D\u0430\u0442\u043F\u0438\u0441\u043E\u0442 \u201E%1\u201C \u0435 \u0437\u0430\u0434\u0430\u0434\u0435\u043D \u043F\u043E\u0432\u0435\u045C\u0435\u043F\u0430\u0442\u0438",CommandAtTheBeginingOfLine:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0434\u043E\u0458\u0434\u0435 \u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043E\u043A\u043E\u0442 \u043E\u0434 \u0440\u0435\u0434\u043E\u0442",IllegalAlign:"\u0423\u043A\u0430\u0436\u0430\u043D\u043E \u0435 \u043D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D\u043E \u043F\u043E\u0440\u0430\u043C\u043D\u0443\u0432\u0430\u045A\u0435 \u0432\u043E %1",BadMathStyleFor:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u0442\u0438\u043B \u0437\u0430 %1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043F\u043E\u0437\u0438\u0442\u0438\u0432\u0435\u043D \u0446\u0435\u043B \u0431\u0440\u043E\u0458",ErroneousNestingEq:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u0432\u043C\u0435\u0442\u043D\u0430\u0442\u0438 \u0440\u0430\u0432\u0435\u043D\u0441\u043A\u0438 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440\u0438",MultlineRowsOneCol:"\u0420\u0435\u0434\u043E\u0432\u0438\u0442\u0435 \u0432\u043E \u0441\u043E\u0441\u0442\u0430\u0432 \u043D\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0438\u043C\u0430\u0430\u0442 \u0442\u043E\u0447\u043D\u043E \u043F\u043E \u0435\u0434\u043D\u0430 \u043A\u043E\u043B\u043E\u043D\u0430",MultipleBBoxProperty:"%1 \u0435 \u0443\u043A\u0430\u0436\u0430\u043D\u043E \u0434\u0432\u0430\u043F\u0430\u0442\u0438 \u0432\u043E %2",InvalidBBoxProperty:"\u201E%1\u201C \u043D\u0435 \u0435 \u0431\u043E\u0458\u0430, \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430 \u0437\u0430 \u0441\u043B\u043E\u0436\u0443\u0432\u0430\u045A\u0435 \u0438\u043B\u0438 \u0441\u0442\u0438\u043B",ExtraEndMissingBegin:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u043E %1 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \\begingroup",GlobalNotFollowedBy:"%1 \u043D\u0435 \u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D\u043E \u043E\u0434 \u201E\\let\u201C, \u201E\\def\u201C \u0438\u043B\u0438 \u201E\\newcommand\u201C",UndefinedColorModel:"\u0411\u043E\u0458\u043D\u0438\u043E\u0442 \u043C\u043E\u0434\u0435\u043B \u201E%1\u201C \u043D\u0435 \u0435 \u0437\u0430\u0434\u0430\u0434\u0435\u043D",ModelArg1:"\u0411\u043E\u0458\u043D\u0438\u0442\u0435 \u0432\u0440\u0435\u0434\u043D\u043E\u0441\u0442\u0438 \u0437\u0430 \u043C\u043E\u0434\u0435\u043B\u043E\u0442 %1 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0438\u043C\u0430\u0430\u0442 \u043F\u043E \u0442\u0440\u0438 \u0431\u0440\u043E\u0458\u043A\u0438",InvalidDecimalNumber:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 \u0434\u0435\u0446\u0438\u043C\u0430\u043B\u0435\u043D \u0431\u0440\u043E\u0458",ModelArg2:"\u0411\u043E\u0458\u043D\u0438\u0442\u0435 \u0432\u0440\u0435\u0434\u043D\u043E\u0441\u0442\u0438 \u0437\u0430 \u043C\u043E\u0434\u0435\u043B\u043E\u0442 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0430\u0442 \u043F\u043E\u043C\u0435\u0453\u0443 %2 \u0438 %3",InvalidNumber:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 \u0431\u0440\u043E\u0458",NewextarrowArg1:"\u041F\u0440\u0432\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0438\u043C\u0435\u043D\u0443\u0432\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430",NewextarrowArg2:"\u0412\u0442\u043E\u0440\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u0441\u043E\u0441\u0442\u043E\u0438 \u043E\u0434 \u0434\u0432\u0430 \u0446\u0435\u043B\u0438 \u0431\u0440\u043E\u0458\u0430 \u043E\u0434\u0434\u0435\u043B\u0435\u043D\u0438 \u0441\u043E \u0437\u0430\u043F\u0438\u0440\u043A\u0430",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0443\u043D\u0438\u043A\u043E\u0434\u0435\u043D \u0431\u0440\u043E\u0435\u043D \u0437\u043D\u0430\u043A",NoClosingChar:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u043E %1",IllegalControlSequenceName:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u043D\u043E \u0438\u043C\u0435 \u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430\u0442\u0430 \u043D\u0438\u0437\u0430 \u0437\u0430 %1",IllegalParamNumber:"\u041D\u0430 %1 \u043C\u0443 \u0435 \u0443\u043A\u0430\u0436\u0430\u043D \u043D\u0435\u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438",MissingCS:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0435 \u043F\u0440\u043E\u0441\u043B\u0435\u0434\u0435\u043D \u043E\u0434 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430",CantUseHash2:"\u041D\u0435\u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 \u201E#\u201C \u0432\u043E \u0448\u0430\u0431\u043B\u043E\u043D\u043E\u0442 \u0437\u0430 %1",SequentialParam:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438\u0442\u0435 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043D\u0443\u043C\u0435\u0440\u0438\u0440\u0430\u043D\u0438 \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u043D\u043E",MissingReplacementString:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u043C\u0435\u043D\u0430 \u0437\u0430 \u043D\u0438\u0437\u0430\u0442\u0430 \u0432\u043E \u0437\u0430\u0434\u0430\u0434\u0435\u043D\u043E\u0442\u043E \u043D\u0430 %1",MismatchUseDef:"\u0423\u043F\u043E\u0442\u0440\u0435\u0431\u0430\u0442\u0430 \u043D\u0430 %1 \u043D\u0435 \u043E\u0434\u0433\u043E\u0432\u0430\u0440\u0430 \u043D\u0430 \u0437\u0430\u0434\u0430\u0434\u0435\u043D\u043E\u0442\u043E",RunawayArgument:"\u041D\u0435\u0441\u043A\u043B\u0430\u0434\u0435\u043D \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1?",NoClosingDelim:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u0438\u043E\u0442 \u043E\u0434\u0434\u0435\u043B\u0443\u0432\u0430\u0447 \u0437\u0430 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/TeX.js");
+MathJax.Localization.addTranslation("mk","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430",ExtraCloseMissingOpen:"\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430",MissingLeftExtraRight:"\u041D\u0435\u043C\u0430\u0442\u0435 \u201E\\left\u201C \u0438\u043B\u0438 \u0438\u043C\u0430\u0442\u0435 \u0432\u0438\u0448\u043E\u043A \u201E\\right\u201C",MissingScript:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 \u0433\u043E\u0440\u0435\u043D \u0438\u043B\u0438 \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",ExtraLeftMissingRight:"\u041D\u0435\u043C\u0430\u0442\u0435 \u201E\\right\u201C \u0438\u043B\u0438 \u0438\u043C\u0430\u0442\u0435 \u0432\u0438\u0448\u043E\u043A \u201E\\left\u201C",Misplaced:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0435\u043D %1",MissingOpenForSub:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0437\u0430 \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",MissingOpenForSup:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0437\u0430 \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441",AmbiguousUseOf:"\u041D\u0435\u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u0431\u0440\u0448\u0438 \u0441\u043E \\end{%2}",EnvMissingEnd:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \\end{%1}",MissingBoxFor:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u043A\u0443\u0442\u0438\u0458\u043A\u0430 \u0437\u0430 %1",MissingCloseBrace:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430",UndefinedControlSequence:"\u041D\u0435\u043F\u0440\u0435\u043F\u043E\u0437\u043D\u0430\u0435\u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430 %1",DoubleExponent:"\u0414\u0432\u043E\u0435\u043D \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",DoubleSubscripts:"\u0414\u0432\u043E\u0435\u043D \u0434\u043E\u043B\u0435\u043D \u0438\u043D\u0434\u0435\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",DoubleExponentPrime:"\u041F\u0440\u0438\u043C\u043E\u0442 \u043F\u0440\u0430\u0432\u0438 \u0434\u0432\u043E\u0435\u043D \u0433\u043E\u0440\u0435\u043D \u0438\u043D\u0434\u0435\u043B\u043A\u0441: \u043F\u043E\u0458\u0430\u0441\u043D\u0435\u0442\u0435 \u0441\u043E \u0437\u0430\u0433\u0440\u0430\u0434\u0438",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0442\u0435 \u0434\u0430 \u0433\u043E \u043A\u043E\u0440\u0438\u0441\u0442\u0438\u0442\u0435 \u043C\u0430\u043A\u0440\u043E\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0430\u0440\u0441\u043A\u0438\u043E\u0442 \u0437\u043D\u0430\u043A \u201E#\u201C \u0432\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0440\u0435\u0436\u0438\u043C",MisplacedMiddle:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u201E\\left\u201C \u0438\u043B\u0438 \u201E\\right\u201C",MisplacedLimits:"%1 \u0441\u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0430 \u0441\u0430\u043C\u043E \u0437\u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0438",MisplacedMoveRoot:"%1 \u043C\u043E\u0436\u0435 \u0434\u0430 \u0441\u0435 \u0458\u0430\u0432\u0443\u0432\u0430 \u0441\u0430\u043C\u043E \u0432\u043E \u043A\u043E\u0440\u0435\u043D",MultipleCommand:"%1 \u0441\u0435 \u0458\u0430\u0432\u0443\u0432\u0430 \u043F\u043E\u0432\u0435\u045C\u0435\u043F\u0430\u0442\u0438",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0446\u0435\u043B \u0431\u0440\u043E\u0458",NotMathMLToken:"%1 \u043D\u0435 \u0435 \u0448\u0438\u0444\u0440\u0435\u043D \u0435\u043B\u0435\u043C\u0435\u043D\u0442",InvalidMathMLAttr:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 MathML-\u0430\u0442\u0440\u0438\u0431\u0443\u0442: %1",UnknownAttrForElement:"%1 \u043D\u0435 \u0435 \u043F\u0440\u0438\u0437\u043D\u0430\u0435\u043D \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0437\u0430 %2",MaxMacroSub1:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442 \u0435 \u043D\u0430\u0458\u0433\u043E\u043B\u0435\u043C\u0438\u043E\u0442 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0438 \u0432\u043E MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0435\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u043E \u043F\u043E\u0432\u0438\u043A\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0430\u0442\u0430?",MaxMacroSub2:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442 \u0435 \u043D\u0430\u0458\u0433\u043E\u043B\u0435\u043C\u0438\u043E\u0442 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043C\u0430\u043A\u0440\u043E\u0437\u0430\u043C\u0435\u043D\u0438 \u0432\u043E MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0430\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u0430 LaTeX-\u043E\u043A\u043E\u043B\u0438\u043D\u0430?",MissingArgFor:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1",ExtraAlignTab:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u0435\u043D \u0437\u043D\u0430\u043A \u0437\u0430 \u043F\u043E\u0440\u0430\u043C\u043D\u0443\u0432\u0430\u045A\u0435 \u0432\u043E \u0442\u0435\u043A\u0441\u0442\u043E\u0442 \u043D\u0430 \u201E\\cases\u201C",BracketMustBeDimension:"\u0417\u0430\u0433\u0440\u0430\u0434\u0435\u043D\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430",InvalidEnv:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u0438\u043C\u0435 \u043D\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u201E%1\u201C",UnknownEnv:"\u041D\u0435\u043F\u043E\u0437\u043D\u0430\u0442\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430 \u201E%1\u201C",ExtraCloseLooking:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0432\u043E \u043F\u0440\u0435\u0431\u0430\u0440\u0443\u0432\u0430\u045A\u0435\u0442\u043E \u043D\u0430 %1",MissingCloseBracket:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0432 \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u043E ']' \u0437\u0430 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0432\u043E %1",MissingOrUnrecognizedDelim:"\u041E\u0442\u0441\u0443\u0442\u0435\u043D \u0438\u043B\u0438 \u043D\u0435\u043F\u0440\u0435\u043F\u043E\u0437\u043D\u0430\u0435\u043D \u043E\u0434\u0434\u0435\u043B\u0443\u0432\u0430\u0447 \u0437\u0430 %1",MissingDimOrUnits:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430 \u0438\u043B\u0438 \u043D\u0435\u0458\u0437\u0438\u043D\u0438 \u0435\u0434\u0438\u043D\u0438\u0446\u0438 \u0437\u0430 %1",TokenNotFoundForCommand:"\u041D\u0435 \u043C\u043E\u0436\u0435\u0432 \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0430\u043C %1 \u0437\u0430 %2",MathNotTerminated:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430\u0442\u0430 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0430 \u043D\u0435 \u0435 \u0437\u0430\u0432\u0440\u0448\u0435\u043D\u0430 \u0432\u043E \u043F\u043E\u043B\u0435\u0442\u043E \u0437\u0430 \u0442\u0435\u043A\u0441\u0442",IllegalMacroParam:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D \u043C\u0430\u043A\u0440\u043E\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0430\u0440",MaxBufferSize:"\u041D\u0430\u0434\u043C\u0438\u043D\u0430\u0442\u0430 \u0435 \u0433\u043E\u043B\u0435\u043C\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 \u0432\u043D\u0430\u0442\u0440\u0435\u0448\u043D\u0438\u043E\u0442 \u043C\u0435\u0453\u0443\u0441\u043A\u043B\u0430\u0434 \u043D\u0430 MathJax. \u0414\u0430 \u043D\u0435 \u0438\u043C\u0430 \u0440\u0435\u043A\u0443\u0440\u0437\u0438\u0432\u043D\u043E \u043C\u0430\u043A\u0440\u043E\u043F\u043E\u0432\u0438\u043A\u0443\u0432\u0430\u045A\u0435?",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0441\u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0430 \u0432\u043E \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 %2",MultipleLabel:"\u041D\u0430\u0442\u043F\u0438\u0441\u043E\u0442 \u201E%1\u201C \u0435 \u0437\u0430\u0434\u0430\u0434\u0435\u043D \u043F\u043E\u0432\u0435\u045C\u0435\u043F\u0430\u0442\u0438",CommandAtTheBeginingOfLine:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0434\u043E\u0458\u0434\u0435 \u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043E\u043A\u043E\u0442 \u043E\u0434 \u0440\u0435\u0434\u043E\u0442",IllegalAlign:"\u0423\u043A\u0430\u0436\u0430\u043D\u043E \u0435 \u043D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D\u043E \u043F\u043E\u0440\u0430\u043C\u043D\u0443\u0432\u0430\u045A\u0435 \u0432\u043E %1",BadMathStyleFor:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u0435\u043D \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438 \u0441\u0442\u0438\u043B \u0437\u0430 %1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u043F\u043E\u0437\u0438\u0442\u0438\u0432\u0435\u043D \u0446\u0435\u043B \u0431\u0440\u043E\u0458",ErroneousNestingEq:"\u041F\u043E\u0433\u0440\u0435\u0448\u043D\u043E \u0432\u043C\u0435\u0442\u043D\u0430\u0442\u0438 \u0440\u0430\u0432\u0435\u043D\u0441\u043A\u0438 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440\u0438",MultlineRowsOneCol:"\u0420\u0435\u0434\u043E\u0432\u0438\u0442\u0435 \u0432\u043E \u0441\u043E\u0441\u0442\u0430\u0432 \u043D\u0430 \u043E\u043A\u043E\u043B\u0438\u043D\u0430\u0442\u0430 \u043D\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0438\u043C\u0430\u0430\u0442 \u0442\u043E\u0447\u043D\u043E \u043F\u043E \u0435\u0434\u043D\u0430 \u043A\u043E\u043B\u043E\u043D\u0430",MultipleBBoxProperty:"%1 \u0435 \u0443\u043A\u0430\u0436\u0430\u043D\u043E \u0434\u0432\u0430\u043F\u0430\u0442\u0438 \u0432\u043E %2",InvalidBBoxProperty:"\u201E%1\u201C \u043D\u0435 \u0435 \u0431\u043E\u0458\u0430, \u0434\u0438\u043C\u0435\u043D\u0437\u0438\u0458\u0430 \u0437\u0430 \u0441\u043B\u043E\u0436\u0443\u0432\u0430\u045A\u0435 \u0438\u043B\u0438 \u0441\u0442\u0438\u043B",ExtraEndMissingBegin:"\u041D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u043E %1 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \\begingroup",GlobalNotFollowedBy:"%1 \u043D\u0435 \u0435 \u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D\u043E \u043E\u0434 \u201E\\let\u201C, \u201E\\def\u201C \u0438\u043B\u0438 \u201E\\newcommand\u201C",UndefinedColorModel:"\u0411\u043E\u0458\u043D\u0438\u043E\u0442 \u043C\u043E\u0434\u0435\u043B \u201E%1\u201C \u043D\u0435 \u0435 \u0437\u0430\u0434\u0430\u0434\u0435\u043D",ModelArg1:"\u0411\u043E\u0458\u043D\u0438\u0442\u0435 \u0432\u0440\u0435\u0434\u043D\u043E\u0441\u0442\u0438 \u0437\u0430 \u043C\u043E\u0434\u0435\u043B\u043E\u0442 %1 \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0438\u043C\u0430\u0430\u0442 \u043F\u043E \u0442\u0440\u0438 \u0431\u0440\u043E\u0458\u043A\u0438",InvalidDecimalNumber:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 \u0434\u0435\u0446\u0438\u043C\u0430\u043B\u0435\u043D \u0431\u0440\u043E\u0458",ModelArg2:"\u0411\u043E\u0458\u043D\u0438\u0442\u0435 \u0432\u0440\u0435\u0434\u043D\u043E\u0441\u0442\u0438 \u0437\u0430 \u043C\u043E\u0434\u0435\u043B\u043E\u0442 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0430\u0442 \u043F\u043E\u043C\u0435\u0453\u0443 %2 \u0438 %3",InvalidNumber:"\u041D\u0435\u0432\u0430\u0436\u0435\u0447\u043A\u0438 \u0431\u0440\u043E\u0458",NewextarrowArg1:"\u041F\u0440\u0432\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0438\u043C\u0435\u043D\u0443\u0432\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430",NewextarrowArg2:"\u0412\u0442\u043E\u0440\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u0441\u043E\u0441\u0442\u043E\u0438 \u043E\u0434 \u0434\u0432\u0430 \u0446\u0435\u043B\u0438 \u0431\u0440\u043E\u0458\u0430 \u043E\u0434\u0434\u0435\u043B\u0435\u043D\u0438 \u0441\u043E \u0437\u0430\u043F\u0438\u0440\u043A\u0430",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u0438\u043E\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0431\u0438\u0434\u0435 \u0443\u043D\u0438\u043A\u043E\u0434\u0435\u043D \u0431\u0440\u043E\u0435\u043D \u0437\u043D\u0430\u043A",NoClosingChar:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u043E %1",IllegalControlSequenceName:"\u041D\u0435\u0438\u0441\u043F\u0440\u0430\u0432\u043D\u043E \u0438\u043C\u0435 \u043D\u0430 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430\u0442\u0430 \u043D\u0438\u0437\u0430 \u0437\u0430 %1",IllegalParamNumber:"\u041D\u0430 %1 \u043C\u0443 \u0435 \u0443\u043A\u0430\u0436\u0430\u043D \u043D\u0435\u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D \u0431\u0440\u043E\u0458 \u043D\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438",MissingCS:"%1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0435 \u043F\u0440\u043E\u0441\u043B\u0435\u0434\u0435\u043D \u043E\u0434 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u043D\u0430 \u043D\u0438\u0437\u0430",CantUseHash2:"\u041D\u0435\u0434\u043E\u043F\u0443\u0448\u0442\u0435\u043D\u0430 \u0443\u043F\u043E\u0442\u0440\u0435\u0431\u0430 \u043D\u0430 \u201E#\u201C \u0432\u043E \u0448\u0430\u0431\u043B\u043E\u043D\u043E\u0442 \u0437\u0430 %1",SequentialParam:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438\u0442\u0435 \u0437\u0430 %1 \u043C\u043E\u0440\u0430 \u0434\u0430 \u0441\u0435 \u043D\u0443\u043C\u0435\u0440\u0438\u0440\u0430\u043D\u0438 \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u043D\u043E",MissingReplacementString:"\u041D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u043C\u0435\u043D\u0430 \u0437\u0430 \u043D\u0438\u0437\u0430\u0442\u0430 \u0432\u043E \u0437\u0430\u0434\u0430\u0434\u0435\u043D\u043E\u0442\u043E \u043D\u0430 %1",MismatchUseDef:"\u0423\u043F\u043E\u0442\u0440\u0435\u0431\u0430\u0442\u0430 \u043D\u0430 %1 \u043D\u0435 \u043E\u0434\u0433\u043E\u0432\u0430\u0440\u0430 \u043D\u0430 \u0437\u0430\u0434\u0430\u0434\u0435\u043D\u043E\u0442\u043E",RunawayArgument:"\u041D\u0435\u0441\u043A\u043B\u0430\u0434\u0435\u043D \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0437\u0430 %1?",NoClosingDelim:"\u041D\u0435 \u043C\u043E\u0436\u0430\u043C \u0434\u0430 \u0433\u043E \u043D\u0430\u0458\u0434\u0430\u043C \u0437\u0430\u0432\u0440\u0448\u043D\u0438\u043E\u0442 \u043E\u0434\u0434\u0435\u043B\u0443\u0432\u0430\u0447 \u0437\u0430 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/TeX.js");
diff --git a/localization/mk/mk.js b/localization/mk/mk.js
index 415871d68d..6a7461d0a6 100644
--- a/localization/mk/mk.js
+++ b/localization/mk/mk.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/mk/mk.js
+ *  /MathJax-v2/localization/mk/mk.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("mk",null,{menuTitle:"\u043C\u0430\u043A\u0435\u0434\u043E\u043D\u0441\u043A\u0438",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax \u043F\u0440\u043E\u043D\u0430\u0458\u0434\u0435 \u043A\u043E\u043B\u0430\u0447\u0435 \u0441\u043E \u043A\u043E\u0440\u0438\u0441\u043D\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u043A\u043E\u0435 \u0441\u043E\u0434\u0440\u0436\u0438 \u043A\u043E\u0434 \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0441\u0435 \u043F\u0443\u0448\u0442\u0438. \u0421\u0430\u043A\u0430\u0442\u0435 \u0434\u0430 \u0433\u043E \u043F\u0443\u0448\u0442\u0438\u0442\u0435?\n\n(\u0421\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u201E\u041E\u0442\u043A\u0430\u0436\u0438\u201C \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0441\u0442\u0435 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438\u043B\u0435 \u043A\u043E\u043B\u0430\u0447\u0435\u0442\u043E \u0432\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435.)",MathProcessingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u0432\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430\u0442\u0430 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",LoadFile:"\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C %1",Loading:"\u0412\u0447\u0438\u0442\u0443\u0432\u0430\u043C",LoadFailed:"\u041F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0430\u0442\u0430 \u043D\u0435 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430: %1",ProcessMath:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u0443\u0432\u0430\u043C",TypesetMath:"\u0421\u043B\u043E\u0436\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442: %1%%",Typesetting:"\u0421\u043B\u043E\u0436\u0443\u0432\u0430\u043C \u0438\u0441\u043F\u0438\u0441",MathJaxNotSupported:"\u0412\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u0431\u0430\u0440\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u043E \u043F\u043E\u0434\u0434\u0440\u0436\u0443\u0432\u0430 MathJax",ErrorTips:"\u0421\u043E\u0432\u0435\u0442\u0438 \u0437\u0430 \u0438\u0441\u043F\u0440\u0430\u0432\u0430\u045A\u0435 \u0433\u0440\u0435\u0448\u043A\u0438: \u043A\u043E\u0440\u0438\u0441\u0442\u0435\u0442\u0435 %%1, \u043F\u0440\u0435\u0433\u043B\u0435\u0434\u0430\u0458\u0442\u0435 \u0433\u043E %%2 \u0432\u043E \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043A\u0430\u0442\u0430 \u043A\u043E\u043D\u0437\u043E\u043B\u0430"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a!==11){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/mk.js");
+MathJax.Localization.addTranslation("mk",null,{menuTitle:"\u043C\u0430\u043A\u0435\u0434\u043E\u043D\u0441\u043A\u0438",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax \u043F\u0440\u043E\u043D\u0430\u0458\u0434\u0435 \u043A\u043E\u043B\u0430\u0447\u0435 \u0441\u043E \u043A\u043E\u0440\u0438\u0441\u043D\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u043A\u043E\u0435 \u0441\u043E\u0434\u0440\u0436\u0438 \u043A\u043E\u0434 \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0441\u0435 \u043F\u0443\u0448\u0442\u0438. \u0421\u0430\u043A\u0430\u0442\u0435 \u0434\u0430 \u0433\u043E \u043F\u0443\u0448\u0442\u0438\u0442\u0435?\n\n(\u0421\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u201E\u041E\u0442\u043A\u0430\u0436\u0438\u201C \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0441\u0442\u0435 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438\u043B\u0435 \u043A\u043E\u043B\u0430\u0447\u0435\u0442\u043E \u0432\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435.)",MathProcessingError:"\u0413\u0440\u0435\u0448\u043A\u0430 \u0432\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430\u0442\u0430 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u0433\u0440\u0435\u0448\u043A\u0430",LoadFile:"\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C %1",Loading:"\u0412\u0447\u0438\u0442\u0443\u0432\u0430\u043C",LoadFailed:"\u041F\u043E\u0434\u0430\u0442\u043E\u0442\u0435\u043A\u0430\u0442\u0430 \u043D\u0435 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430: %1",ProcessMath:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0430 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u0443\u0432\u0430\u043C",TypesetMath:"\u0421\u043B\u043E\u0436\u0443\u0432\u0430\u045A\u0435 \u043D\u0430 \u0438\u0441\u043F\u0438\u0441\u043E\u0442: %1%%",Typesetting:"\u0421\u043B\u043E\u0436\u0443\u0432\u0430\u043C \u0438\u0441\u043F\u0438\u0441",MathJaxNotSupported:"\u0412\u0430\u0448\u0438\u043E\u0442 \u043F\u0440\u0435\u0431\u0430\u0440\u0443\u0432\u0430\u0447 \u043D\u0435 \u0433\u043E \u043F\u043E\u0434\u0434\u0440\u0436\u0443\u0432\u0430 MathJax",ErrorTips:"\u0421\u043E\u0432\u0435\u0442\u0438 \u0437\u0430 \u0438\u0441\u043F\u0440\u0430\u0432\u0430\u045A\u0435 \u0433\u0440\u0435\u0448\u043A\u0438: \u043A\u043E\u0440\u0438\u0441\u0442\u0435\u0442\u0435 %%1, \u043F\u0440\u0435\u0433\u043B\u0435\u0434\u0430\u0458\u0442\u0435 \u0433\u043E %%2 \u0432\u043E \u043F\u0440\u0435\u043B\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u043A\u0430\u0442\u0430 \u043A\u043E\u043D\u0437\u043E\u043B\u0430"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a!==11){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/mk/mk.js");
diff --git a/localization/nl/FontWarnings.js b/localization/nl/FontWarnings.js
index 83783acc91..82b11cf448 100644
--- a/localization/nl/FontWarnings.js
+++ b/localization/nl/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/nl/FontWarnings.js
+ *  /MathJax-v2/localization/nl/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax gebruikt web-gebaseerde lettertypes om wiskunde weer te geven op deze pagina. Het kost tijd om deze te downloaden, dus de pagina zou sneller weergegeven worden als u de wiskunde lettertypes direct in de lettertype map van uw systeem zou plaatsen.",imageFonts:"MathJax gebruikt zijn beeldlettertypes en niet zijn lokale of webgebaseerde lettertypes. Dit geeft een tragere weergave dan normaal en de wiskunde wordt wellicht niet op de hoogste resolutie van uw printer afgedrukt.",noFonts:"MathJax is niet in staat een lettertype te vinden waarmee het zijn wiskunde kan weergeven, en beeld-lettertypes zijn niet beschikbaar, dus valt het nu terug op generieke Unicodetekens in de hoop dat uw browsers in staat is ze weer te geven. Sommige tekens worden wellicht niet goed weergegeven en mogelijkerwijs helemaal niet.",webFonts:"De meeste moderne browsers kunnen lettertypes via het web downloaden. Updaten naar een recentere versie van uw browser (of een andere browser gaan gebruiken) zou de kwaliteit van de wiskunde op deze pagina kunnen verbeteren.",fonts:"MathJax kan de [STIX fonts](%1) \u00F3f de [MathJax TeX fonts](%2) gebruiken. Download en installeer een van deze lettertypes om uw MathJax ervaring te verbeteren.",STIXPage:"Deze pagina is ontworpen om de [STIX fonts](%1) te gebruiken. Download en installeer deze lettertypes om uw MathJax ervaring te verbeteren.",TeXPage:"Deze pagina is ontworpen om de [MathJax TeX fonts](%1) te gebruiken. Download en installeer deze lettertypes om uw MathJax ervaring te verbeteren."}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/FontWarnings.js");
+MathJax.Localization.addTranslation("nl","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax gebruikt web-gebaseerde lettertypes om wiskunde weer te geven op deze pagina. Het kost tijd om deze te downloaden, dus de pagina zou sneller weergegeven worden als u de wiskunde lettertypes direct in de lettertype map van uw systeem zou plaatsen.",imageFonts:"MathJax gebruikt zijn beeldlettertypes en niet zijn lokale of webgebaseerde lettertypes. Dit geeft een tragere weergave dan normaal en de wiskunde wordt wellicht niet op de hoogste resolutie van uw printer afgedrukt.",noFonts:"MathJax is niet in staat een lettertype te vinden waarmee het zijn wiskunde kan weergeven, en beeld-lettertypes zijn niet beschikbaar, dus valt het nu terug op generieke Unicodetekens in de hoop dat uw browsers in staat is ze weer te geven. Sommige tekens worden wellicht niet goed weergegeven en mogelijkerwijs helemaal niet.",webFonts:"De meeste moderne browsers kunnen lettertypes via het web downloaden. Updaten naar een recentere versie van uw browser (of een andere browser gaan gebruiken) zou de kwaliteit van de wiskunde op deze pagina kunnen verbeteren.",fonts:"MathJax kan de [STIX fonts](%1) \u00F3f de [MathJax TeX fonts](%2) gebruiken. Download en installeer een van deze lettertypes om uw MathJax ervaring te verbeteren.",STIXPage:"Deze pagina is ontworpen om de [STIX fonts](%1) te gebruiken. Download en installeer deze lettertypes om uw MathJax ervaring te verbeteren.",TeXPage:"Deze pagina is ontworpen om de [MathJax TeX fonts](%1) te gebruiken. Download en installeer deze lettertypes om uw MathJax ervaring te verbeteren."}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/FontWarnings.js");
diff --git a/localization/nl/HTML-CSS.js b/localization/nl/HTML-CSS.js
index a774fc7ed5..d5682b54b2 100644
--- a/localization/nl/HTML-CSS.js
+++ b/localization/nl/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/nl/HTML-CSS.js
+ *  /MathJax-v2/localization/nl/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Weblettertype %1 aan het laden",CantLoadWebFont:"Het weblettertype %1 kan niet geladen worden.",FirefoxCantLoadWebFont:"Firefox kan geen web-lettertypes laden van een externe host",CantFindFontUsing:"Kan met gebruik van %1 geen geldig lettertype vinden",WebFontsNotAvailable:"Weblettertypes zijn niet beschikbaar. In plaats daarvan worden afbeeldingslettertypes gebruikt"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/HTML-CSS.js");
+MathJax.Localization.addTranslation("nl","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Weblettertype %1 aan het laden",CantLoadWebFont:"Het weblettertype %1 kan niet geladen worden.",FirefoxCantLoadWebFont:"Firefox kan geen web-lettertypes laden van een externe host",CantFindFontUsing:"Kan met gebruik van %1 geen geldig lettertype vinden",WebFontsNotAvailable:"Weblettertypes zijn niet beschikbaar. In plaats daarvan worden afbeeldingslettertypes gebruikt"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/HTML-CSS.js");
diff --git a/localization/nl/HelpDialog.js b/localization/nl/HelpDialog.js
index f461ca9a82..0f7f6dfa5d 100644
--- a/localization/nl/HelpDialog.js
+++ b/localization/nl/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/nl/HelpDialog.js
+ *  /MathJax-v2/localization/nl/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax-hulp",MathJax:"*MathJax* is een JavaScript bibliotheek die het mogelijk maakt dat auteurs wiskunde kunnen toevoegen aan hun web-pagina's. Als een lezer hoeft u niks te doen om dat mogelijk te maken.",Browsers:"*Browsers*: MathJax werkt met alle moderne browsers, inclusief IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ en de meeste mobiele browsers.",Menu:"*Math menu*:MathJax voegt een context menu toe aan vergelijkingen. Rechtsklik of Ctrl-klik op willekeurige wiskunde om het menu weer te geven.",ShowMath:"*Wiskunde weergeven als* geeft de formule in bron opmaak weer voor knippen en plakken (als MathML of in de originele opmaak).",Settings:"Via *Instellingen* kunt u de functionaliteit van MathJax beheersen, zoals de grootte van de wiskunde en het mechanisme dat gebruikt wordt om vergelijkingen weer te geven.",Language:"Via *Taal* kunt u de taal kiezen die MathJax gebruikt voor de menu's en waarschuwingsboodschappen.",Zoom:"*Wiskunde zoom*: Als u moeite heeft met het lezen van een vergelijking dan kan MathJax deze vergroten zodat u het beter kunt zien.",Accessibilty:"*Toegankelijkheid*: MathJax werkt automatisch samen met schermlezers waardoor wiskunde toegankelijk wordt voor slechtzienden.",Fonts:"*Lettertypes*: MathJax gebruikt bepaalde wiskunde lettertypes als die ge\u00EFnstalleerd zijn op uw computer; anders gebruikt het webgebaseerde lettertypes. Alhoewel het niet noodzakelijk is, versnellen lokaal ge\u00EFnstalleerde lettertypes het zetwerk. We raden aan om de [STIX fonts](%1) te installeren.",CloseDialog:"Hulpvenster sluiten"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/HelpDialog.js");
+MathJax.Localization.addTranslation("nl","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"MathJax-hulp",MathJax:"*MathJax* is een JavaScript bibliotheek die het mogelijk maakt dat auteurs wiskunde kunnen toevoegen aan hun web-pagina's. Als een lezer hoeft u niks te doen om dat mogelijk te maken.",Browsers:"*Browsers*: MathJax werkt met alle moderne browsers, inclusief IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ en de meeste mobiele browsers.",Menu:"*Math menu*:MathJax voegt een context menu toe aan vergelijkingen. Rechtsklik of Ctrl-klik op willekeurige wiskunde om het menu weer te geven.",ShowMath:"*Wiskunde weergeven als* geeft de formule in bron opmaak weer voor knippen en plakken (als MathML of in de originele opmaak).",Settings:"Via *Instellingen* kunt u de functionaliteit van MathJax beheersen, zoals de grootte van de wiskunde en het mechanisme dat gebruikt wordt om vergelijkingen weer te geven.",Language:"Via *Taal* kunt u de taal kiezen die MathJax gebruikt voor de menu's en waarschuwingsboodschappen.",Zoom:"*Wiskunde zoom*: Als u moeite heeft met het lezen van een vergelijking dan kan MathJax deze vergroten zodat u het beter kunt zien.",Accessibilty:"*Toegankelijkheid*: MathJax werkt automatisch samen met schermlezers waardoor wiskunde toegankelijk wordt voor slechtzienden.",Fonts:"*Lettertypes*: MathJax gebruikt bepaalde wiskunde lettertypes als die ge\u00EFnstalleerd zijn op uw computer; anders gebruikt het webgebaseerde lettertypes. Alhoewel het niet noodzakelijk is, versnellen lokaal ge\u00EFnstalleerde lettertypes het zetwerk. We raden aan om de [STIX fonts](%1) te installeren.",CloseDialog:"Hulpvenster sluiten"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/HelpDialog.js");
diff --git a/localization/nl/MathML.js b/localization/nl/MathML.js
index c1942f06f7..1aab97a648 100644
--- a/localization/nl/MathML.js
+++ b/localization/nl/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/nl/MathML.js
+ *  /MathJax-v2/localization/nl/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Onjuiste mglyph: %1",BadMglyphFont:"Verkeerd lettertype: %1",MathPlayer:'MathJax was niet in staat MathPlayer in te stellen.\n\nAls MathPlay niet ge\u00EFnstalleerd is, doe dat dan eerst.\nAnders kan het zijn dat beveiligingsinstellingen de uitvoering van ActiveX-besturingselementen verhinderen. Gebruik de keuze Internet Opties in het menu Extra en selecteer het tabblad Beveiligingsinstellingen en druk op de knop Aangepaste niveau.\nControleer dat de instellingen voor "Uitvoeren van ActiveX-besturingselementen" en "Gedrag van binaire elementen en scripts" ingeschakeld zijn.\n\nMomenteel zie u foutmeldingen in plaats van opgemaakte wiskunde.',CantCreateXMLParser:'MathJax kan geen XML-verwerker cre\u00EBren voor MathML. Controleer of de beveiligingsinstelling "ActiveX-besturingselementen die zijn gemarkeerd als veilig voor uitvoeren in scripts" is ingeschakeld. Gebruik de keuze Internet Opties in het menu Extra en selecteer het paneel Beveiliging, druk dan op de knop Aangepast niveau om dit te controleren.\n\nMathML-vergelijkingen kunnen niet verwerkt worden door MathJax.',UnknownNodeType:"Onbekend knooptype: %1",UnexpectedTextNode:"Onverwachte tekstknoop: %1",ErrorParsingMathML:"Fout tijdens verwerken MathML",ParsingError:"Fout tijdens verwerken MathML: %1",MathMLSingleElement:"MathML moet bestaan uit \u00E9\u00E9n element",MathMLRootElement:"MathML moet bestaan uit een \u003Cmath\u003E element, niet %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/MathML.js");
+MathJax.Localization.addTranslation("nl","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"Onjuiste mglyph: %1",BadMglyphFont:"Verkeerd lettertype: %1",MathPlayer:'MathJax was niet in staat MathPlayer in te stellen.\n\nAls MathPlay niet ge\u00EFnstalleerd is, doe dat dan eerst.\nAnders kan het zijn dat beveiligingsinstellingen de uitvoering van ActiveX-besturingselementen verhinderen. Gebruik de keuze Internet Opties in het menu Extra en selecteer het tabblad Beveiligingsinstellingen en druk op de knop Aangepaste niveau.\nControleer dat de instellingen voor "Uitvoeren van ActiveX-besturingselementen" en "Gedrag van binaire elementen en scripts" ingeschakeld zijn.\n\nMomenteel zie u foutmeldingen in plaats van opgemaakte wiskunde.',CantCreateXMLParser:'MathJax kan geen XML-verwerker cre\u00EBren voor MathML. Controleer of de beveiligingsinstelling "ActiveX-besturingselementen die zijn gemarkeerd als veilig voor uitvoeren in scripts" is ingeschakeld. Gebruik de keuze Internet Opties in het menu Extra en selecteer het paneel Beveiliging, druk dan op de knop Aangepast niveau om dit te controleren.\n\nMathML-vergelijkingen kunnen niet verwerkt worden door MathJax.',UnknownNodeType:"Onbekend knooptype: %1",UnexpectedTextNode:"Onverwachte tekstknoop: %1",ErrorParsingMathML:"Fout tijdens verwerken MathML",ParsingError:"Fout tijdens verwerken MathML: %1",MathMLSingleElement:"MathML moet bestaan uit \u00E9\u00E9n element",MathMLRootElement:"MathML moet bestaan uit een \u003Cmath\u003E element, niet %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/MathML.js");
diff --git a/localization/nl/MathMenu.js b/localization/nl/MathMenu.js
index 508cdd8cb4..54caec4929 100644
--- a/localization/nl/MathMenu.js
+++ b/localization/nl/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/nl/MathMenu.js
+ *  /MathJax-v2/localization/nl/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Wiskunde weergeven als",MathMLcode:"MathML-code",OriginalMathML:"Oorspronkelijke MathML",TeXCommands:"TeX-commando's",AsciiMathInput:"AsciiMathML-invoer",Original:"Oorspronkelijke vorm",ErrorMessage:"Foutmelding",Annotation:"Annotatie",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Inhoud MathML",OpenMath:"OpenMath",texHints:"TeX-hints weergeven in MathML",Settings:"Instellingen voor wiskundige formules",ZoomTrigger:"Inzoomen als",Hover:"Aanwijseffect",Click:"Klik",DoubleClick:"Dubbelklik",NoZoom:"Niet zoomen",TriggerRequires:"Trigger vereist:",Option:"Optie",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Zoomfactor",Renderer:"Mathverwerking",MPHandles:"MathPlayer de volgende gebeurtenissen laten afhandelen:",MenuEvents:"Menugebeurtenissen",MouseEvents:"Muisgebeurtenissen",MenuAndMouse:"Muis- en menugebeurtenissen",FontPrefs:"Lettertypevoorkeuren",ForHTMLCSS:"Voor HTML-CSS:",Auto:"Automatisch",TeXLocal:"TeX (lokaal)",TeXWeb:"TeX (web)",TeXImage:"TeX (afbeelding)",STIXLocal:"STIX (lokaal)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Contextueel menu",Browser:"Browser",Scale:"Alle wiskunde schalen als ...",Discoverable:"Uitlichten bij aanwijzen",Locale:"Taal",LoadLocale:"Laden van URL ...",About:"Over MathJax",Help:"MathJax-hulp",localTeXfonts:"met behulp van lokale TeX-lettertypen",webTeXfonts:"met behulp van weblettertype TeX",imagefonts:"met behulp van afbeeldingslettertypes",localSTIXfonts:"met behulp van lokale STIX-lettertypes",webSVGfonts:"met behulp van SVG-weblettertypen",genericfonts:"met behulp van standaard Unicodelettertypen",wofforotffonts:"WOFF- of OTF-lettertypen",eotffonts:"EOT-lettertypen",svgfonts:"SVG-lettertypen",WebkitNativeMMLWarning:"Uw browser lijkt MathML niet te ondersteunen. Door te kiezen voor MathML-uitvoer kunnen de wiskundige formules op de pagina onleesbaar worden.",MSIENativeMMLWarning:"Internet Explorer vereist de MathPlayer plug-in om MathML-uitvoer te verwerken",OperaNativeMMLWarning:"De ondersteuning voor MathML in Opera is beperkt, dus als u overschakelt naar weergave via MathML kunnen sommige expressies slecht worden weergegeven.",SafariNativeMMLWarning:"De in uw browser ingebouwde MathML heeft niet alle mogelijkheden die door MathJax worden gebruikt, dus niet alle expressies kunnen correct worden weergegeven.",FirefoxNativeMMLWarning:"De in uw browser ingebouwde MathML heeft niet alle mogelijkheden die door MathJax worden gebruikt, dus niet alle expressies kunnen correct worden weergegeven.",MSIESVGWarning:"SVG is niet ge\u00EFmplementeerd in Internet Explorer versies v\u00F3\u00F3r IE9 en ook niet wanneer het IE8 of lager emuleert. Kiezen voor SVG-uitvoer veroorzaakt onjuiste weergave van de wiskundige formules.",LoadURL:"Vertalingsdata van deze URL laden:",BadURL:'De URL moet naar een JavaScriptbestand wijzen waarin vertaalgegevens voor MathJax staan. De naam van het JavaScriptbestand moet eindigen op ".js".',BadData:"Vertalingsdata laden van %1 niet gelukt",SwitchAnyway:"Evengoed de weergever wijzigen?\n\nDruk op OK om te wijzigen, ANNULEREN om door te gaan met de huidige wijze van weergeven.",ScaleMath:"Alle wiskundige formules schalen (in vergelijking tot de omliggende tekst) met",NonZeroScale:"De schaal hoort geen nul te zijn",PercentScale:"De schaal moet een percentage zijn (bijvoorbeeld 120%%)",IE8warning:"Hierdoor wordt het MathJaxmenu en zoomfuncties uitgeschakeld, maar u kunt via Alt-klik op een expressie het MathJamenu weergeven.\n\nWilt u inderdaad de instellingen van MathPlayer wijzigen?",IE9warning:"Het context menu van MathJax wordt uitgeschakeld, maar u kunt in plaats daarvan door Alt-klikken op een expressie het MathJax menu weergeven.",NoOriginalForm:"Geen oorspronkelijke vorm beschikbaar",Close:"Sluiten",EqSource:"MathJax Vergelijking Bron",CloseAboutDialog:"Over Mathjax sluiten",FastPreview:"Snell voorvertoning",AssistiveMML:"Assistieve MathML",InTabOrder:"Opnemen in tabvolgorde"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/MathMenu.js");
+MathJax.Localization.addTranslation("nl","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Wiskunde weergeven als",MathMLcode:"MathML-code",OriginalMathML:"Oorspronkelijke MathML",TeXCommands:"TeX-commando's",AsciiMathInput:"AsciiMathML-invoer",Original:"Oorspronkelijke vorm",ErrorMessage:"Foutmelding",Annotation:"Annotatie",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Inhoud MathML",OpenMath:"OpenMath",texHints:"TeX-hints weergeven in MathML",Settings:"Instellingen voor wiskundige formules",ZoomTrigger:"Inzoomen als",Hover:"Aanwijseffect",Click:"Klik",DoubleClick:"Dubbelklik",NoZoom:"Niet zoomen",TriggerRequires:"Trigger vereist:",Option:"Optie",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"Zoomfactor",Renderer:"Mathverwerking",MPHandles:"MathPlayer de volgende gebeurtenissen laten afhandelen:",MenuEvents:"Menugebeurtenissen",MouseEvents:"Muisgebeurtenissen",MenuAndMouse:"Muis- en menugebeurtenissen",FontPrefs:"Lettertypevoorkeuren",ForHTMLCSS:"Voor HTML-CSS:",Auto:"Automatisch",TeXLocal:"TeX (lokaal)",TeXWeb:"TeX (web)",TeXImage:"TeX (afbeelding)",STIXLocal:"STIX (lokaal)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Contextueel menu",Browser:"Browser",Scale:"Alle wiskunde schalen als ...",Discoverable:"Uitlichten bij aanwijzen",Locale:"Taal",LoadLocale:"Laden van URL ...",About:"Over MathJax",Help:"MathJax-hulp",localTeXfonts:"met behulp van lokale TeX-lettertypen",webTeXfonts:"met behulp van weblettertype TeX",imagefonts:"met behulp van afbeeldingslettertypes",localSTIXfonts:"met behulp van lokale STIX-lettertypes",webSVGfonts:"met behulp van SVG-weblettertypen",genericfonts:"met behulp van standaard Unicodelettertypen",wofforotffonts:"WOFF- of OTF-lettertypen",eotffonts:"EOT-lettertypen",svgfonts:"SVG-lettertypen",WebkitNativeMMLWarning:"Uw browser lijkt MathML niet te ondersteunen. Door te kiezen voor MathML-uitvoer kunnen de wiskundige formules op de pagina onleesbaar worden.",MSIENativeMMLWarning:"Internet Explorer vereist de MathPlayer plug-in om MathML-uitvoer te verwerken",OperaNativeMMLWarning:"De ondersteuning voor MathML in Opera is beperkt, dus als u overschakelt naar weergave via MathML kunnen sommige expressies slecht worden weergegeven.",SafariNativeMMLWarning:"De in uw browser ingebouwde MathML heeft niet alle mogelijkheden die door MathJax worden gebruikt, dus niet alle expressies kunnen correct worden weergegeven.",FirefoxNativeMMLWarning:"De in uw browser ingebouwde MathML heeft niet alle mogelijkheden die door MathJax worden gebruikt, dus niet alle expressies kunnen correct worden weergegeven.",MSIESVGWarning:"SVG is niet ge\u00EFmplementeerd in Internet Explorer versies v\u00F3\u00F3r IE9 en ook niet wanneer het IE8 of lager emuleert. Kiezen voor SVG-uitvoer veroorzaakt onjuiste weergave van de wiskundige formules.",LoadURL:"Vertalingsdata van deze URL laden:",BadURL:'De URL moet naar een JavaScriptbestand wijzen waarin vertaalgegevens voor MathJax staan. De naam van het JavaScriptbestand moet eindigen op ".js".',BadData:"Vertalingsdata laden van %1 niet gelukt",SwitchAnyway:"Evengoed de weergever wijzigen?\n\nDruk op OK om te wijzigen, ANNULEREN om door te gaan met de huidige wijze van weergeven.",ScaleMath:"Alle wiskundige formules schalen (in vergelijking tot de omliggende tekst) met",NonZeroScale:"De schaal hoort geen nul te zijn",PercentScale:"De schaal moet een percentage zijn (bijvoorbeeld 120%%)",IE8warning:"Hierdoor wordt het MathJaxmenu en zoomfuncties uitgeschakeld, maar u kunt via Alt-klik op een expressie het MathJamenu weergeven.\n\nWilt u inderdaad de instellingen van MathPlayer wijzigen?",IE9warning:"Het context menu van MathJax wordt uitgeschakeld, maar u kunt in plaats daarvan door Alt-klikken op een expressie het MathJax menu weergeven.",NoOriginalForm:"Geen oorspronkelijke vorm beschikbaar",Close:"Sluiten",EqSource:"MathJax Vergelijking Bron",CloseAboutDialog:"Over Mathjax sluiten",FastPreview:"Snell voorvertoning",AssistiveMML:"Assistieve MathML",InTabOrder:"Opnemen in tabvolgorde"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/MathMenu.js");
diff --git a/localization/nl/TeX.js b/localization/nl/TeX.js
index dc0e6089d9..ed6add0a3e 100644
--- a/localization/nl/TeX.js
+++ b/localization/nl/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/nl/TeX.js
+ *  /MathJax-v2/localization/nl/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Overtollige openende accolade of ontbrekende afsluitende accolade",ExtraCloseMissingOpen:"Overtollige afsluitende accolade of ontbrekende openende accolade",MissingLeftExtraRight:"Ontbrekende \\left of overtollige \\right",MissingScript:"Ontbrekend superschrift- of subschriftargument",ExtraLeftMissingRight:"Overtollige \\left of ontbrekende \\right",Misplaced:"Onjuist geplaatste %1",MissingOpenForSub:"Ontbrekende openende accolade voor subschrift",MissingOpenForSup:"Ontbrekende openende accolade voor superschrift",AmbiguousUseOf:"Dubbelzinnig gebruik van %1",EnvBadEnd:"\\begin{%1} eindigde met \\end{%2}",EnvMissingEnd:"Ontbrekende \\end{%1}",MissingBoxFor:"Ontbrekende box voor %1",MissingCloseBrace:"Ontbrekende afsluitende accolade",UndefinedControlSequence:"Ongedefinieerde bewerkingsvolgorde %1",DoubleExponent:"Dubbele exponent: gebruik accolades om te verduidelijken",DoubleSubscripts:"Dubbele subschriften: gebruik accolades om te verduidelijken",DoubleExponentPrime:"Priem veroorzaakt een dubbele exponent: Gebruik accolades om te verduidelijken.",CantUseHash1:"U kunt 'macroparameterteken #' niet gebruiken in mathmodus",MisplacedMiddle:"%1 moet zich tussen \\left en \\right bevinden",MisplacedLimits:"%1 is alleen toegestaan op bewerkingstekens",MisplacedMoveRoot:"%1 kan alleen voorkomen in een root",MultipleCommand:"Meerdere %1",IntegerArg:"Het argument voor %1 moet een geheel getal zijn",NotMathMLToken:"%1 is geen symboolelement",InvalidMathMLAttr:"Ongeldige MathML-eigenschap: %1",UnknownAttrForElement:"%1 is geen bekende eigenschap voor %2",MaxMacroSub1:"Het MathJax maximale aantal macrovervangingen is overschreden; is er een recursieve macro-aanroep?",MaxMacroSub2:"Het MathJax maximale aantal macrovervangingen is overschreden; is er een recursieve LaTeX-omgeving?",MissingArgFor:"Ontbrekend argument voor %1",ExtraAlignTab:"Overtollige uitlijningtab in \\cases-tekst",BracketMustBeDimension:"Rechte haak argument voor %1 moet een dimensie zijn",InvalidEnv:'Ongeldige omgevingsnaam "%1"',UnknownEnv:'Onbekende omgeving "%1"',ExtraCloseLooking:"Overtollige afsluitende accolade terwijl gezocht wordt naar %1",MissingCloseBracket:"Kon afsluitende ']' niet vinden als argument voor %1",MissingOrUnrecognizedDelim:"Ontbrekend of onbekend scheidingsteken voor %1",MissingDimOrUnits:"Ontbrekende dimensie of zijn eenheden voor %1",TokenNotFoundForCommand:"Kon %1 niet vinden voor %2",MathNotTerminated:"Math niet afgerond in een tekstblok",IllegalMacroParam:"Niet toegestane macroparameterverwijzing",MaxBufferSize:"MathJax interne bufferomvang overschreden; is er een recursieve macro-aanroep?",CommandNotAllowedInEnv:"%1 niet toegestaan in de omgeving %2",MultipleLabel:'Label "%1" meerdere keren gedefinieerd',CommandAtTheBeginingOfLine:"%1 moet aan het begin van een regel staan",IllegalAlign:"Niet toegestane uitlijning gespecificeerd in %1",BadMathStyleFor:"Foute wiskundige stijl voor %1",PositiveIntegerArg:"Het argument voor %1 moet een positief geheel getal zijn",ErroneousNestingEq:"Foutief nesten van vergelijkingsstructuren",MultlineRowsOneCol:"De regels in de omgeving %1 moeten precies \u00E9\u00E9n kolom bevatten",MultipleBBoxProperty:"%1 twee keer gespecificeerd in %2",InvalidBBoxProperty:'"%1" lijkt niet op een kleur, een opvuldimensie of een stijl',ExtraEndMissingBegin:"Overtollige %1 of ontbrekende \\begingroup",GlobalNotFollowedBy:"%1 niet gevolgd door \\let, \\def of \\newcommand",UndefinedColorModel:'Kleurmodel "%1" niet gedefinieerd',ModelArg1:"Kleurwaardes voor het %1 model hebben 3 getallen nodig",InvalidDecimalNumber:"Ongeldig decimaal getal",ModelArg2:"Kleurwaardes voor het model %1 moeten tussen %2 en %3 liggen",InvalidNumber:"Ongeldig getal",NewextarrowArg1:"Eerste argument voor %1 moet een bewerkingsvolgorde naam zijn.",NewextarrowArg2:"Tweede argument voor %1 moet twee gehele getallen zijn, gescheiden door een komma",NewextarrowArg3:"Derde argument voor %1 moet een Unicodekarakternummer zijn",NoClosingChar:"Kan afsluitende %1 niet vinden",IllegalControlSequenceName:"Niet toegestane bewerkingsvolgordenaam voor %1",IllegalParamNumber:"Niet toegestane getallen of parameters gespecificeerd in %1",MissingCS:"%1 moet gevolgd worden door een bewerkingsvolgorde",CantUseHash2:"Niet toegestaan gebruik van # in een sjabloon voor %1",SequentialParam:"Parameters voor %1 moeten opeenvolgend genummerd zijn",MissingReplacementString:"Ontbrekende vervangende tekst voor definitie van %1",MismatchUseDef:"Gebruik van %1 stemt niet overeen met zijn definitie",RunawayArgument:"Ontsnapt argument voor %1?",NoClosingDelim:"Kan afsluitende scheidingsteken voor %1 niet vinden"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/TeX.js");
+MathJax.Localization.addTranslation("nl","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Overtollige openende accolade of ontbrekende afsluitende accolade",ExtraCloseMissingOpen:"Overtollige afsluitende accolade of ontbrekende openende accolade",MissingLeftExtraRight:"Ontbrekende \\left of overtollige \\right",MissingScript:"Ontbrekend superschrift- of subschriftargument",ExtraLeftMissingRight:"Overtollige \\left of ontbrekende \\right",Misplaced:"Onjuist geplaatste %1",MissingOpenForSub:"Ontbrekende openende accolade voor subschrift",MissingOpenForSup:"Ontbrekende openende accolade voor superschrift",AmbiguousUseOf:"Dubbelzinnig gebruik van %1",EnvBadEnd:"\\begin{%1} eindigde met \\end{%2}",EnvMissingEnd:"Ontbrekende \\end{%1}",MissingBoxFor:"Ontbrekende box voor %1",MissingCloseBrace:"Ontbrekende afsluitende accolade",UndefinedControlSequence:"Ongedefinieerde bewerkingsvolgorde %1",DoubleExponent:"Dubbele exponent: gebruik accolades om te verduidelijken",DoubleSubscripts:"Dubbele subschriften: gebruik accolades om te verduidelijken",DoubleExponentPrime:"Priem veroorzaakt een dubbele exponent: Gebruik accolades om te verduidelijken.",CantUseHash1:"U kunt 'macroparameterteken #' niet gebruiken in mathmodus",MisplacedMiddle:"%1 moet zich tussen \\left en \\right bevinden",MisplacedLimits:"%1 is alleen toegestaan op bewerkingstekens",MisplacedMoveRoot:"%1 kan alleen voorkomen in een root",MultipleCommand:"Meerdere %1",IntegerArg:"Het argument voor %1 moet een geheel getal zijn",NotMathMLToken:"%1 is geen symboolelement",InvalidMathMLAttr:"Ongeldige MathML-eigenschap: %1",UnknownAttrForElement:"%1 is geen bekende eigenschap voor %2",MaxMacroSub1:"Het MathJax maximale aantal macrovervangingen is overschreden; is er een recursieve macro-aanroep?",MaxMacroSub2:"Het MathJax maximale aantal macrovervangingen is overschreden; is er een recursieve LaTeX-omgeving?",MissingArgFor:"Ontbrekend argument voor %1",ExtraAlignTab:"Overtollige uitlijningtab in \\cases-tekst",BracketMustBeDimension:"Rechte haak argument voor %1 moet een dimensie zijn",InvalidEnv:'Ongeldige omgevingsnaam "%1"',UnknownEnv:'Onbekende omgeving "%1"',ExtraCloseLooking:"Overtollige afsluitende accolade terwijl gezocht wordt naar %1",MissingCloseBracket:"Kon afsluitende ']' niet vinden als argument voor %1",MissingOrUnrecognizedDelim:"Ontbrekend of onbekend scheidingsteken voor %1",MissingDimOrUnits:"Ontbrekende dimensie of zijn eenheden voor %1",TokenNotFoundForCommand:"Kon %1 niet vinden voor %2",MathNotTerminated:"Math niet afgerond in een tekstblok",IllegalMacroParam:"Niet toegestane macroparameterverwijzing",MaxBufferSize:"MathJax interne bufferomvang overschreden; is er een recursieve macro-aanroep?",CommandNotAllowedInEnv:"%1 niet toegestaan in de omgeving %2",MultipleLabel:'Label "%1" meerdere keren gedefinieerd',CommandAtTheBeginingOfLine:"%1 moet aan het begin van een regel staan",IllegalAlign:"Niet toegestane uitlijning gespecificeerd in %1",BadMathStyleFor:"Foute wiskundige stijl voor %1",PositiveIntegerArg:"Het argument voor %1 moet een positief geheel getal zijn",ErroneousNestingEq:"Foutief nesten van vergelijkingsstructuren",MultlineRowsOneCol:"De regels in de omgeving %1 moeten precies \u00E9\u00E9n kolom bevatten",MultipleBBoxProperty:"%1 twee keer gespecificeerd in %2",InvalidBBoxProperty:'"%1" lijkt niet op een kleur, een opvuldimensie of een stijl',ExtraEndMissingBegin:"Overtollige %1 of ontbrekende \\begingroup",GlobalNotFollowedBy:"%1 niet gevolgd door \\let, \\def of \\newcommand",UndefinedColorModel:'Kleurmodel "%1" niet gedefinieerd',ModelArg1:"Kleurwaardes voor het %1 model hebben 3 getallen nodig",InvalidDecimalNumber:"Ongeldig decimaal getal",ModelArg2:"Kleurwaardes voor het model %1 moeten tussen %2 en %3 liggen",InvalidNumber:"Ongeldig getal",NewextarrowArg1:"Eerste argument voor %1 moet een bewerkingsvolgorde naam zijn.",NewextarrowArg2:"Tweede argument voor %1 moet twee gehele getallen zijn, gescheiden door een komma",NewextarrowArg3:"Derde argument voor %1 moet een Unicodekarakternummer zijn",NoClosingChar:"Kan afsluitende %1 niet vinden",IllegalControlSequenceName:"Niet toegestane bewerkingsvolgordenaam voor %1",IllegalParamNumber:"Niet toegestane getallen of parameters gespecificeerd in %1",MissingCS:"%1 moet gevolgd worden door een bewerkingsvolgorde",CantUseHash2:"Niet toegestaan gebruik van # in een sjabloon voor %1",SequentialParam:"Parameters voor %1 moeten opeenvolgend genummerd zijn",MissingReplacementString:"Ontbrekende vervangende tekst voor definitie van %1",MismatchUseDef:"Gebruik van %1 stemt niet overeen met zijn definitie",RunawayArgument:"Ontsnapt argument voor %1?",NoClosingDelim:"Kan afsluitende scheidingsteken voor %1 niet vinden"}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/TeX.js");
diff --git a/localization/nl/nl.js b/localization/nl/nl.js
index fea8c7fa15..6469c10066 100644
--- a/localization/nl/nl.js
+++ b/localization/nl/nl.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/nl/nl.js
+ *  /MathJax-v2/localization/nl/nl.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("nl",null,{menuTitle:"Nederlands",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax heeft een gebruikersconfiguratie cookie aangetroffen dat code bevat die uitgevoerd moet worden. Wilt u deze uitvoeren?\n\\n\n(U zou op annuleren moeten drukken tenzij u het cookie zelf ingesteld heeft.)",MathProcessingError:"Mathverwerkingsfout",MathError:"Mathfout",LoadFile:"Bezig met laden van %1",Loading:"Bezig met laden",LoadFailed:"Het bestand kon niet geladen worden: %1",ProcessMath:"Berekening aan het verwerken: %1%%",Processing:"Bezig met verwerken",TypesetMath:"Berekening aan het opmaken: %1%%",Typesetting:"Opmaken",MathJaxNotSupported:"Uw browser ondersteunt MathJax niet",ErrorTips:"Debugtips: gebruik %%1, inspecteer %%2 in de console van de browser"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/nl.js");
+MathJax.Localization.addTranslation("nl",null,{menuTitle:"Nederlands",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax heeft een gebruikersconfiguratie cookie aangetroffen dat code bevat die uitgevoerd moet worden. Wilt u deze uitvoeren?\n\\n\n(U zou op annuleren moeten drukken tenzij u het cookie zelf ingesteld heeft.)",MathProcessingError:"Mathverwerkingsfout",MathError:"Mathfout",LoadFile:"Bezig met laden van %1",Loading:"Bezig met laden",LoadFailed:"Het bestand kon niet geladen worden: %1",ProcessMath:"Berekening aan het verwerken: %1%%",Processing:"Bezig met verwerken",TypesetMath:"Berekening aan het opmaken: %1%%",Typesetting:"Opmaken",MathJaxNotSupported:"Uw browser ondersteunt MathJax niet",ErrorTips:"Debugtips: gebruik %%1, inspecteer %%2 in de console van de browser"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/nl/nl.js");
diff --git a/localization/oc/FontWarnings.js b/localization/oc/FontWarnings.js
index 60ab6fcc9b..eb7112fe46 100644
--- a/localization/oc/FontWarnings.js
+++ b/localization/oc/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/oc/FontWarnings.js
+ *  /MathJax-v2/localization/oc/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/FontWarnings.js");
+MathJax.Localization.addTranslation("oc","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/FontWarnings.js");
diff --git a/localization/oc/HTML-CSS.js b/localization/oc/HTML-CSS.js
index 6d69a2251f..ca17a01ff9 100644
--- a/localization/oc/HTML-CSS.js
+++ b/localization/oc/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/oc/HTML-CSS.js
+ *  /MathJax-v2/localization/oc/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/HTML-CSS.js");
+MathJax.Localization.addTranslation("oc","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/HTML-CSS.js");
diff --git a/localization/oc/HelpDialog.js b/localization/oc/HelpDialog.js
index 3f3833b2f2..047750f813 100644
--- a/localization/oc/HelpDialog.js
+++ b/localization/oc/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/oc/HelpDialog.js
+ *  /MathJax-v2/localization/oc/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/HelpDialog.js");
+MathJax.Localization.addTranslation("oc","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/HelpDialog.js");
diff --git a/localization/oc/MathML.js b/localization/oc/MathML.js
index f1f3080be7..01fbbffda6 100644
--- a/localization/oc/MathML.js
+++ b/localization/oc/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/oc/MathML.js
+ *  /MathJax-v2/localization/oc/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/MathML.js");
+MathJax.Localization.addTranslation("oc","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/MathML.js");
diff --git a/localization/oc/MathMenu.js b/localization/oc/MathMenu.js
index 97a0505fb8..8a43d135d5 100644
--- a/localization/oc/MathMenu.js
+++ b/localization/oc/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/oc/MathMenu.js
+ *  /MathJax-v2/localization/oc/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Afichar jos la forma",MathMLcode:"C\u00F2di MathML",OriginalMathML:"MathML d\u2019origina",TeXCommands:"Comandas TeX",AsciiMathInput:"entrada AsciiMathML",Original:"Format d'origina",ErrorMessage:"Messatge d\u2019error",Annotation:"Anotacion",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML de contengut",OpenMath:"OpenMath",texHints:"Afichar las ajudas TeX en MathML",Settings:"Parametratges dels maths",ZoomTrigger:"Desenclavador de zoom",Hover:"Susv\u00F2l",Click:"Clic",DoubleClick:"Clic doble",NoZoom:"Pas de zoom",TriggerRequires:"Lo desenclavador necessita :",Option:"Opcion",Alt:"Alt",Command:"Comanda",Control:"Contrar\u00F2tle",Shift:"Shift",ZoomFactor:"Factor de grossiment",Renderer:"Rendut matematic",MPHandles:"Daissar MathPlayer gerir :",MenuEvents:"Eveniments de men\u00FA",MouseEvents:"Eveniments de mirga",FontPrefs:"Prefer\u00E9ncias de poli\u00E7a",ForHTMLCSS:"Per HTML-CSS :",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imatge)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contextual",Browser:"Navigador",Locale:"Lenga",LoadLocale:"Cargar dempu\u00E8i l\u2019URL\u2026",About:"A prepaus de MathJax",Help:"Ajuda de MathJax",localTeXfonts:"utilizar las poli\u00E7as TeX localas",webTeXfonts:"utilizar las poli\u00E7as TeX del web",imagefonts:"utilizar las poli\u00E7as Imatge",localSTIXfonts:"utilizar las poli\u00E7as STIX localas",webSVGfonts:"utilizar las poli\u00E7as SVG del web",genericfonts:"utilizar las poli\u00E7as unicode genericas",wofforotffonts:"poli\u00E7as woff o otf",eotffonts:"poli\u00E7as eot",svgfonts:"poli\u00E7as svg",Close:"Tampar",Scale:"Metre totes los maths a l\u2019escala\u2026",CloseAboutDialog:"Tampar la b\u00F3stia de dial\u00F2g A prepaus de MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/MathMenu.js");
+MathJax.Localization.addTranslation("oc","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Afichar jos la forma",MathMLcode:"C\u00F2di MathML",OriginalMathML:"MathML d\u2019origina",TeXCommands:"Comandas TeX",AsciiMathInput:"entrada AsciiMathML",Original:"Format d'origina",ErrorMessage:"Messatge d\u2019error",Annotation:"Anotacion",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML de contengut",OpenMath:"OpenMath",texHints:"Afichar las ajudas TeX en MathML",Settings:"Parametratges dels maths",ZoomTrigger:"Desenclavador de zoom",Hover:"Susv\u00F2l",Click:"Clic",DoubleClick:"Clic doble",NoZoom:"Pas de zoom",TriggerRequires:"Lo desenclavador necessita :",Option:"Opcion",Alt:"Alt",Command:"Comanda",Control:"Contrar\u00F2tle",Shift:"Shift",ZoomFactor:"Factor de grossiment",Renderer:"Rendut matematic",MPHandles:"Daissar MathPlayer gerir :",MenuEvents:"Eveniments de men\u00FA",MouseEvents:"Eveniments de mirga",FontPrefs:"Prefer\u00E9ncias de poli\u00E7a",ForHTMLCSS:"Per HTML-CSS :",Auto:"Auto",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imatge)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00FA contextual",Browser:"Navigador",Locale:"Lenga",LoadLocale:"Cargar dempu\u00E8i l\u2019URL\u2026",About:"A prepaus de MathJax",Help:"Ajuda de MathJax",localTeXfonts:"utilizar las poli\u00E7as TeX localas",webTeXfonts:"utilizar las poli\u00E7as TeX del web",imagefonts:"utilizar las poli\u00E7as Imatge",localSTIXfonts:"utilizar las poli\u00E7as STIX localas",webSVGfonts:"utilizar las poli\u00E7as SVG del web",genericfonts:"utilizar las poli\u00E7as unicode genericas",wofforotffonts:"poli\u00E7as woff o otf",eotffonts:"poli\u00E7as eot",svgfonts:"poli\u00E7as svg",Close:"Tampar",Scale:"Metre totes los maths a l\u2019escala\u2026",CloseAboutDialog:"Tampar la b\u00F3stia de dial\u00F2g A prepaus de MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/MathMenu.js");
diff --git a/localization/oc/TeX.js b/localization/oc/TeX.js
index eef6789243..f002e038ee 100644
--- a/localization/oc/TeX.js
+++ b/localization/oc/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/oc/TeX.js
+ *  /MathJax-v2/localization/oc/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/TeX.js");
+MathJax.Localization.addTranslation("oc","TeX",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/TeX.js");
diff --git a/localization/oc/oc.js b/localization/oc/oc.js
index db5c7d172a..bfcfb59a4a 100644
--- a/localization/oc/oc.js
+++ b/localization/oc/oc.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/oc/oc.js
+ *  /MathJax-v2/localization/oc/oc.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("oc",null,{menuTitle:"occitan",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Error de tractament de la formula matematica",MathError:"Error dins la formula matematica",LoadFile:"Telecargament de %1",Loading:"Cargament",LoadFailed:"Frac\u00E0s del telecargament de %1",ProcessMath:"Tractament de las formulas : %1%%",Processing:"Tractament",TypesetMath:"Composicion de las formulas : %1%%",Typesetting:"Composicion",MathJaxNotSupported:"V\u00F2stre navigador sup\u00F2rta pas MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/oc.js");
+MathJax.Localization.addTranslation("oc",null,{menuTitle:"occitan",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"Error de tractament de la formula matematica",MathError:"Error dins la formula matematica",LoadFile:"Telecargament de %1",Loading:"Cargament",LoadFailed:"Frac\u00E0s del telecargament de %1",ProcessMath:"Tractament de las formulas : %1%%",Processing:"Tractament",TypesetMath:"Composicion de las formulas : %1%%",Typesetting:"Composicion",MathJaxNotSupported:"V\u00F2stre navigador sup\u00F2rta pas MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/oc/oc.js");
diff --git a/localization/pl/FontWarnings.js b/localization/pl/FontWarnings.js
index 05c25a71c5..9fbb5e714e 100644
--- a/localization/pl/FontWarnings.js
+++ b/localization/pl/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pl/FontWarnings.js
+ *  /MathJax-v2/localization/pl/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax u\u017Cywa czcionek Web, aby wy\u015Bwietli\u0107 wzory matematyczne na tej stronie. Pobranie czcionek z sieci zajmuje chwil\u0119. Strona ta mog\u0142aby za\u0142adowa\u0107 si\u0119 szybciej, je\u015Bli zainstalowa\u0142by\u015B czcionki lokalnie w swoim systemie.",imageFonts:"MathJax u\u017Cywa czcionek obrazkowych zamiast lokalnych lub pobranych z sieci. To powoduje wolniejsze wy\u015Bwietlanie strony oraz uniemo\u017Cliwia wydruk w pe\u0142nej rozdzielczo\u015Bci Twojej drukarki.",noFonts:"MathJax nie mo\u017Ce zlokalizowa\u0107 czcionek potrzebnych do wy\u015Bwietlenia wzor\u00F3w, a czcionki obrazkowe nie s\u0105 dost\u0119pne. U\u017Cywane s\u0105 wi\u0119c znaki Unicode z nadziej\u0105, \u017Ce Twoja przegl\u0105darka wy\u015Bwietli je poprawnie. Niekt\u00F3re znaki mog\u0105 jednak nie wygl\u0105da\u0107 prawid\u0142owo lub mog\u0105 nie by\u0107 w og\u00F3le wy\u015Bwietlane.",webFonts:"Wi\u0119kszo\u015B\u0107 nowych przegl\u0105darek umo\u017Cliwia pobieranie czcionek z sieci Web. Aktualizacja Twojej przegl\u0105darki (lub wyb\u00F3r innej) mo\u017Ce polepszy\u0107 jako\u015B\u0107 wy\u015Bwietlanych wzor\u00F3w matematycznych na tej stronie.",fonts:"MathJax mo\u017Ce u\u017Cy\u0107 albo [czcionek STIX](%1), albo [czcionek MathJax Tex](%2). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax.",STIXPage:"Ta strona wymaga [czcionek STIX](%1). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax.",TeXPage:"Ta strona wymaga [czcionek MathJax Tex](%1). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/FontWarnings.js");
+MathJax.Localization.addTranslation("pl","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax u\u017Cywa czcionek Web, aby wy\u015Bwietli\u0107 wzory matematyczne na tej stronie. Pobranie czcionek z sieci zajmuje chwil\u0119. Strona ta mog\u0142aby za\u0142adowa\u0107 si\u0119 szybciej, je\u015Bli zainstalowa\u0142by\u015B czcionki lokalnie w swoim systemie.",imageFonts:"MathJax u\u017Cywa czcionek obrazkowych zamiast lokalnych lub pobranych z sieci. To powoduje wolniejsze wy\u015Bwietlanie strony oraz uniemo\u017Cliwia wydruk w pe\u0142nej rozdzielczo\u015Bci Twojej drukarki.",noFonts:"MathJax nie mo\u017Ce zlokalizowa\u0107 czcionek potrzebnych do wy\u015Bwietlenia wzor\u00F3w, a czcionki obrazkowe nie s\u0105 dost\u0119pne. U\u017Cywane s\u0105 wi\u0119c znaki Unicode z nadziej\u0105, \u017Ce Twoja przegl\u0105darka wy\u015Bwietli je poprawnie. Niekt\u00F3re znaki mog\u0105 jednak nie wygl\u0105da\u0107 prawid\u0142owo lub mog\u0105 nie by\u0107 w og\u00F3le wy\u015Bwietlane.",webFonts:"Wi\u0119kszo\u015B\u0107 nowych przegl\u0105darek umo\u017Cliwia pobieranie czcionek z sieci Web. Aktualizacja Twojej przegl\u0105darki (lub wyb\u00F3r innej) mo\u017Ce polepszy\u0107 jako\u015B\u0107 wy\u015Bwietlanych wzor\u00F3w matematycznych na tej stronie.",fonts:"MathJax mo\u017Ce u\u017Cy\u0107 albo [czcionek STIX](%1), albo [czcionek MathJax Tex](%2). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax.",STIXPage:"Ta strona wymaga [czcionek STIX](%1). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax.",TeXPage:"Ta strona wymaga [czcionek MathJax Tex](%1). Pobierz i zainstaluj te czcionki, aby ulepszy\u0107 dzia\u0142anie MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/FontWarnings.js");
diff --git a/localization/pl/HTML-CSS.js b/localization/pl/HTML-CSS.js
index 7da1c55235..e5e025eec5 100644
--- a/localization/pl/HTML-CSS.js
+++ b/localization/pl/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pl/HTML-CSS.js
+ *  /MathJax-v2/localization/pl/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0141aduj\u0119 czcionk\u0119 %1",CantLoadWebFont:"Nie mo\u017Cna za\u0142adowa\u0107 czcionki %1",FirefoxCantLoadWebFont:"Firefox nie mo\u017Ce za\u0142adowa\u0107 czcionek ze zdalnego hosta",CantFindFontUsing:"Nie mo\u017Cna znale\u017A\u0107 w\u0142a\u015Bciwej czcionki u\u017Cywaj\u0105c %1",WebFontsNotAvailable:"Czcionki internetowe nie dost\u0119pne - zamiast tego u\u017Cywane s\u0105 czcionki obrazkowe"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/HTML-CSS.js");
+MathJax.Localization.addTranslation("pl","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u0141aduj\u0119 czcionk\u0119 %1",CantLoadWebFont:"Nie mo\u017Cna za\u0142adowa\u0107 czcionki %1",FirefoxCantLoadWebFont:"Firefox nie mo\u017Ce za\u0142adowa\u0107 czcionek ze zdalnego hosta",CantFindFontUsing:"Nie mo\u017Cna znale\u017A\u0107 w\u0142a\u015Bciwej czcionki u\u017Cywaj\u0105c %1",WebFontsNotAvailable:"Czcionki internetowe nie dost\u0119pne - zamiast tego u\u017Cywane s\u0105 czcionki obrazkowe"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/HTML-CSS.js");
diff --git a/localization/pl/HelpDialog.js b/localization/pl/HelpDialog.js
index 2564432af5..97cec21e7f 100644
--- a/localization/pl/HelpDialog.js
+++ b/localization/pl/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pl/HelpDialog.js
+ *  /MathJax-v2/localization/pl/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Pomoc MathJax",MathJax:"*MathJax* to biblioteka Javascript umo\u017Cliwiaj\u0105ca autorom stron Web na zapisywanie wzor\u00F3w matematycznych. Jako u\u017Cytkownik, nie musisz robi\u0107 nic dodatkowo, aby wzory by\u0142y poprawnie wy\u015Bwietlane.",Browsers:"*Przegl\u0105darki*: MathJax dzia\u0142a z nowymi przegl\u0105darkami, m.in. IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ i wi\u0119kszo\u015Bci\u0105 przegl\u0105darek mobilnych.",Menu:"*Menu*: MathJax dodaje menu kontekstowe do wzor\u00F3w matematycznych. Kliknij prawym klawiszem myszki (lub lewy klawisz i Ctrl), aby je otworzy\u0107.",ShowMath:"Opcja *Poka\u017C wzory jako* pozwala zobaczy\u0107 \u017Ar\u00F3d\u0142ow\u0105 posta\u0107 wzor\u00F3w, aby mo\u017Cna by\u0142o je skopiowa\u0107 do schowka.",Settings:"Opcja *Ustawienia* pozwala kontrolowa\u0107 MathJax, m.in. ustawia\u0107 wielko\u015B\u0107 wzor\u00F3w i zmienia\u0107 mechanizm ich wy\u015Bwietlania.",Language:"*J\u0119zyk* pozwala wybra\u0107 j\u0119zyk, w jakim wy\u015Bwietlane jest menu oraz komunikaty o b\u0142\u0119dach.",Zoom:"*Powi\u0119kszanie*: Je\u017Celi masz problem z odczytaniem wzoru, MathJax mo\u017Ce zwi\u0119kszy\u0107 wielko\u015B\u0107 liter, aby \u0142atwiej by\u0142o go odczyta\u0107.",Accessibilty:"*Dost\u0119pno\u015B\u0107*: MathJax dzia\u0142a automatycznie z czytnikami ekranowymi, aby wzory matematyczne by\u0142y dost\u0119pne dla niedowidz\u0105cych.",Fonts:"*Czcionki*: MathJax u\u017Cyje czcionek matematycznych zainstalowanych w Twoim systemie. Je\u017Celi ich nie masz, to u\u017Cyje czcionek Web. Nie jest to wymagane, ale lokalnie dost\u0119pne czcionki przyspiesz\u0105 dzia\u0142anie MathJax. Sugerujemy zainstalowanie czcionek [STIX](%1).",CloseDialog:"Zamknij okno pomocy"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/HelpDialog.js");
+MathJax.Localization.addTranslation("pl","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Pomoc MathJax",MathJax:"*MathJax* to biblioteka Javascript umo\u017Cliwiaj\u0105ca autorom stron Web na zapisywanie wzor\u00F3w matematycznych. Jako u\u017Cytkownik, nie musisz robi\u0107 nic dodatkowo, aby wzory by\u0142y poprawnie wy\u015Bwietlane.",Browsers:"*Przegl\u0105darki*: MathJax dzia\u0142a z nowymi przegl\u0105darkami, m.in. IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ i wi\u0119kszo\u015Bci\u0105 przegl\u0105darek mobilnych.",Menu:"*Menu*: MathJax dodaje menu kontekstowe do wzor\u00F3w matematycznych. Kliknij prawym klawiszem myszki (lub lewy klawisz i Ctrl), aby je otworzy\u0107.",ShowMath:"Opcja *Poka\u017C wzory jako* pozwala zobaczy\u0107 \u017Ar\u00F3d\u0142ow\u0105 posta\u0107 wzor\u00F3w, aby mo\u017Cna by\u0142o je skopiowa\u0107 do schowka.",Settings:"Opcja *Ustawienia* pozwala kontrolowa\u0107 MathJax, m.in. ustawia\u0107 wielko\u015B\u0107 wzor\u00F3w i zmienia\u0107 mechanizm ich wy\u015Bwietlania.",Language:"*J\u0119zyk* pozwala wybra\u0107 j\u0119zyk, w jakim wy\u015Bwietlane jest menu oraz komunikaty o b\u0142\u0119dach.",Zoom:"*Powi\u0119kszanie*: Je\u017Celi masz problem z odczytaniem wzoru, MathJax mo\u017Ce zwi\u0119kszy\u0107 wielko\u015B\u0107 liter, aby \u0142atwiej by\u0142o go odczyta\u0107.",Accessibilty:"*Dost\u0119pno\u015B\u0107*: MathJax dzia\u0142a automatycznie z czytnikami ekranowymi, aby wzory matematyczne by\u0142y dost\u0119pne dla niedowidz\u0105cych.",Fonts:"*Czcionki*: MathJax u\u017Cyje czcionek matematycznych zainstalowanych w Twoim systemie. Je\u017Celi ich nie masz, to u\u017Cyje czcionek Web. Nie jest to wymagane, ale lokalnie dost\u0119pne czcionki przyspiesz\u0105 dzia\u0142anie MathJax. Sugerujemy zainstalowanie czcionek [STIX](%1).",CloseDialog:"Zamknij okno pomocy"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/HelpDialog.js");
diff --git a/localization/pl/MathML.js b/localization/pl/MathML.js
index 0811b5b22c..c8dd8fb224 100644
--- a/localization/pl/MathML.js
+++ b/localization/pl/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pl/MathML.js
+ *  /MathJax-v2/localization/pl/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"B\u0142\u0105d w elemencie mglyph: %1",BadMglyphFont:"B\u0142\u0119dna czcionka: %1",MathPlayer:"MathJax nie m\u00F3g\u0142 uruchomi\u0107 MathPlayer.\n\nJe\u015Bli MathPlayer nie jest zainstalowany, musisz go najpierw zainstalowa\u0107.\nW przeciwnym razie, twoje ustawienia bezpiecze\u0144stwa mog\u0105 blokowa\u0107 dzia\u0142anie\nformant\u00F3w ActiveX. W Opcjach internetowych, w menu Narz\u0119dzia wybierz zak\u0142adk\u0119\nZabezpieczenia i naci\u015Bnij przycisk Poziom niestandardowy. Upewnij si\u0119, \u017Ce ustawienia\ndotycz\u0105ce ActiveX oraz skrypt\u00F3w s\u0105 w\u0142\u0105czone.\n\nDo tego czasu b\u0119d\u0105 wy\u015Bwietlane b\u0142\u0119dy zamiast wzor\u00F3w matematycznych.",CantCreateXMLParser:"MathJax nie mo\u017Ce utworzy\u0107 parsera XML dla MathML. Upewnij si\u0119, \u017Ce\nopcja 'Wykonywanie skrypt\u00F3w formant\u00F3w ActiveX' jest w\u0142\u0105czona\n(sprawd\u017A to w Opcjach internetowych w menu Narz\u0119dzia,\nw zak\u0142adce Zabezpieczenia kliknij na przycisk Poziom niestandardowy).\n\nDo tego czasu b\u0119d\u0105 wy\u015Bwietlane b\u0142\u0119dy zamiast wzor\u00F3w matematycznych.",UnknownNodeType:"Nieznany typ elementu: %1",UnexpectedTextNode:"Nieoczekiwany element tekstowy: %1",ErrorParsingMathML:"B\u0142\u0105d podczas przetwarzania MathML",ParsingError:"B\u0142\u0105d podczas przetwarzania MathML: %1",MathMLSingleElement:"MathML musi by\u0107 zamkni\u0119ty w pojedynczym elemencie",MathMLRootElement:"MathML musi by\u0107 zamkni\u0119ty w elemencie \u003Cmath\u003E, a nie %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/MathML.js");
+MathJax.Localization.addTranslation("pl","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"B\u0142\u0105d w elemencie mglyph: %1",BadMglyphFont:"B\u0142\u0119dna czcionka: %1",MathPlayer:"MathJax nie m\u00F3g\u0142 uruchomi\u0107 MathPlayer.\n\nJe\u015Bli MathPlayer nie jest zainstalowany, musisz go najpierw zainstalowa\u0107.\nW przeciwnym razie, twoje ustawienia bezpiecze\u0144stwa mog\u0105 blokowa\u0107 dzia\u0142anie\nformant\u00F3w ActiveX. W Opcjach internetowych, w menu Narz\u0119dzia wybierz zak\u0142adk\u0119\nZabezpieczenia i naci\u015Bnij przycisk Poziom niestandardowy. Upewnij si\u0119, \u017Ce ustawienia\ndotycz\u0105ce ActiveX oraz skrypt\u00F3w s\u0105 w\u0142\u0105czone.\n\nDo tego czasu b\u0119d\u0105 wy\u015Bwietlane b\u0142\u0119dy zamiast wzor\u00F3w matematycznych.",CantCreateXMLParser:"MathJax nie mo\u017Ce utworzy\u0107 parsera XML dla MathML. Upewnij si\u0119, \u017Ce\nopcja 'Wykonywanie skrypt\u00F3w formant\u00F3w ActiveX' jest w\u0142\u0105czona\n(sprawd\u017A to w Opcjach internetowych w menu Narz\u0119dzia,\nw zak\u0142adce Zabezpieczenia kliknij na przycisk Poziom niestandardowy).\n\nDo tego czasu b\u0119d\u0105 wy\u015Bwietlane b\u0142\u0119dy zamiast wzor\u00F3w matematycznych.",UnknownNodeType:"Nieznany typ elementu: %1",UnexpectedTextNode:"Nieoczekiwany element tekstowy: %1",ErrorParsingMathML:"B\u0142\u0105d podczas przetwarzania MathML",ParsingError:"B\u0142\u0105d podczas przetwarzania MathML: %1",MathMLSingleElement:"MathML musi by\u0107 zamkni\u0119ty w pojedynczym elemencie",MathMLRootElement:"MathML musi by\u0107 zamkni\u0119ty w elemencie \u003Cmath\u003E, a nie %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/MathML.js");
diff --git a/localization/pl/MathMenu.js b/localization/pl/MathMenu.js
index 0e0160dff7..11db55b6ef 100644
--- a/localization/pl/MathMenu.js
+++ b/localization/pl/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pl/MathMenu.js
+ *  /MathJax-v2/localization/pl/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Poka\u017C wzory jako",MathMLcode:"Kod MathML",OriginalMathML:"Oryginalny MathML",TeXCommands:"Polecenia TeX",AsciiMathInput:"Wej\u015Bcie AsciiMathML",Original:"Oryginalny formularz",ErrorMessage:"Komunikat o b\u0142\u0119dzie",Annotation:"Adnotacja",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Zawarto\u015B\u0107 MathML",OpenMath:"OpenMath",texHints:"Poka\u017C wskaz\u00F3wki TeX w MathML",Settings:"Ustawienia wzor\u00F3w",ZoomTrigger:"Zwi\u0119kszanie zoomu",Hover:"poprzez najechanie mysz\u0105",Click:"poprzez klikni\u0119cie",DoubleClick:"poprzez dwukrotnie klikni\u0119cie",NoZoom:"Bez zoomu",TriggerRequires:"Aktywacja wymaga:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"Wsp\u00F3\u0142czynnik powi\u0119kszenia",Renderer:"Renderowanie wzor\u00F3w",MPHandles:"Obs\u0142u\u017C MathPlayer",MenuEvents:"Zdarzenia menu",MouseEvents:"Zdarzenia myszy",MenuAndMouse:"Zdarzenia myszy i menu",FontPrefs:"Ustawienia czcionek",ForHTMLCSS:"Dla HTML-CSS:",Auto:"Automatycznie",TeXLocal:"TeX (lokalny)",TeXWeb:"TeX (www)",TeXImage:"TeX (obraz)",STIXLocal:"STIX (lokalny)",ContextMenu:"Menu kontekstowe",Browser:"Przegl\u0105darka",Scale:"Skalowanie wszystkich wzor\u00F3w...",Discoverable:"Podkre\u015Bl po najechaniu kursora",Locale:"J\u0119zyk",LoadLocale:"Pobierz z URL...",About:"O MathJax",Help:"Pomoc MathJax",localTeXfonts:"U\u017Cyj lokalnej czcionki TeX",webTeXfonts:"U\u017Cyj internetowej czcionki TeX",imagefonts:"U\u017Cyj czcionki obrazkowej",localSTIXfonts:"U\u017Cyj lokalnej czcionki STIX",webSVGfonts:"U\u017Cyj internetowej czcionki SVG",genericfonts:"U\u017Cyj generowanej czcionki unicode",wofforotffonts:"czcionki WOFF lub OTF",eotffonts:"czcionki EOT",svgfonts:"czcionki SVG",WebkitNativeMMLWarning:"Twoja przegl\u0105darka nie obs\u0142uguje MathML, wi\u0119c zmiana wyj\u015Bcia do MathML mo\u017Ce spowodowa\u0107, \u017Ce strona stanie si\u0119 niemo\u017Cliwa do odczytania.",MSIENativeMMLWarning:"Program Internet Explorer wymaga wtyczki MathPlayer do procesu wy\u015Bwietlania MathML.",OperaNativeMMLWarning:"Wsparcie dla MathML w Operze jest ograniczone. W zwi\u0105zku z tym zmiana wyj\u015Bcia na MathML mo\u017Ce spowodowa\u0107, \u017Ce niekt\u00F3re strony b\u0119d\u0105 niemo\u017Cliwe do odczytania.",SafariNativeMMLWarning:"MathML zaimplementowany w twojej przegl\u0105darce nie obs\u0142uguje wszystkich mo\u017Cliwo\u015Bci MathJax, wi\u0119c cz\u0119\u015B\u0107 wyra\u017Cen mo\u017Ce nie renderowa\u0107 si\u0119 poprawnie.",FirefoxNativeMMLWarning:"MathML zaimplementowany w twojej przegl\u0105darce nie obs\u0142uguje wszystkich mo\u017Cliwo\u015Bci MathJax, wi\u0119c cz\u0119\u015B\u0107 wyra\u017Ce\u0144 mo\u017Ce nie renderowa\u0107 si\u0119 poprawnie.",MSIESVGWarning:"SVG nie jest zaimplementowane w Internet Explorerze do wersji 9 lub podczas emulowania IE8 lub poni\u017Cej, wi\u0119c zmiana wyj\u015Bcia do SVG mo\u017Ce spowodowa\u0107, \u017Ce strona stanie si\u0119 niemo\u017Cliwa do odczytania.",LoadURL:"Za\u0142aduj t\u0142umaczenie z tego URL:",BadURL:'Adres URL powinien by\u0107 dla pliku JavaScript, kt\u00F3ry definiuje dane t\u0142umaczenie MathJax. Pliki JavaScript powinny ko\u0144czy\u0107 si\u0119 ".js"',BadData:"Nie mo\u017Cna za\u0142adowa\u0107 danych t\u0142umacze\u0144 z  %1",SwitchAnyway:"Na pewno zmieni\u0107 renderer ?\n\n(Naci\u015Bnij OK a\u017Ceby zmieni\u0107, lub CANCEL aby kontynuowa\u0107 z aktualnym rendererem)",ScaleMath:"Skaluj wszystkie wzory matematyczne (por\u00F3wnane do otaczaj\u0105cego tekstu) przez",NonZeroScale:"Warto\u015B\u0107 nie powinna by\u0107 zerowa",PercentScale:"Warto\u015B\u0107 powinna by\u0107 w procentach (na przyk\u0142ad 120%%)",IE8warning:"Ta opcja wy\u0142\u0105czy obs\u0142ug\u0119 menu i powi\u0119kszania w MathJax, ale mo\u017Cesz klikn\u0105\u0107 z Altem na wz\u00F3r, aby otworzy\u0107 menu MathJax.\n\nCzy na pewno chcesz zmieni\u0107 ustawienia MathPlayer?",IE9warning:"Menu kontekstowe MathJax zostanie wy\u0142\u0105czone, ale mo\u017Cesz klikn\u0105\u0107 z Altem na wz\u00F3r, aby otworzy\u0107 menu.",NoOriginalForm:"Brak wzor\u00F3w w oryginalnej postaci",Close:"Zamknij",EqSource:"\u0179r\u00F3d\u0142o wzoru MathJax",STIXWeb:"STIX (www)",AsanaMathWeb:"Asana Math (www)",GyrePagellaWeb:"Gyre Pagella (www)",GyreTermesWeb:"Gyre Termes (www)",LatinModernWeb:"Latin Modern (www)",NeoEulerWeb:"Neo Euler (www)",CloseAboutDialog:"Zamknij okno o MathJax",FastPreview:"Szybki podgl\u0105d strony",AssistiveMML:"Asystuj\u0105cy MathML",InTabOrder:"Zawarty w kolejno\u015Bci stron"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/MathMenu.js");
+MathJax.Localization.addTranslation("pl","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Poka\u017C wzory jako",MathMLcode:"Kod MathML",OriginalMathML:"Oryginalny MathML",TeXCommands:"Polecenia TeX",AsciiMathInput:"Wej\u015Bcie AsciiMathML",Original:"Oryginalny formularz",ErrorMessage:"Komunikat o b\u0142\u0119dzie",Annotation:"Adnotacja",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Zawarto\u015B\u0107 MathML",OpenMath:"OpenMath",texHints:"Poka\u017C wskaz\u00F3wki TeX w MathML",Settings:"Ustawienia wzor\u00F3w",ZoomTrigger:"Zwi\u0119kszanie zoomu",Hover:"poprzez najechanie mysz\u0105",Click:"poprzez klikni\u0119cie",DoubleClick:"poprzez dwukrotnie klikni\u0119cie",NoZoom:"Bez zoomu",TriggerRequires:"Aktywacja wymaga:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"Wsp\u00F3\u0142czynnik powi\u0119kszenia",Renderer:"Renderowanie wzor\u00F3w",MPHandles:"Obs\u0142u\u017C MathPlayer",MenuEvents:"Zdarzenia menu",MouseEvents:"Zdarzenia myszy",MenuAndMouse:"Zdarzenia myszy i menu",FontPrefs:"Ustawienia czcionek",ForHTMLCSS:"Dla HTML-CSS:",Auto:"Automatycznie",TeXLocal:"TeX (lokalny)",TeXWeb:"TeX (www)",TeXImage:"TeX (obraz)",STIXLocal:"STIX (lokalny)",ContextMenu:"Menu kontekstowe",Browser:"Przegl\u0105darka",Scale:"Skalowanie wszystkich wzor\u00F3w...",Discoverable:"Podkre\u015Bl po najechaniu kursora",Locale:"J\u0119zyk",LoadLocale:"Pobierz z URL...",About:"O MathJax",Help:"Pomoc MathJax",localTeXfonts:"U\u017Cyj lokalnej czcionki TeX",webTeXfonts:"U\u017Cyj internetowej czcionki TeX",imagefonts:"U\u017Cyj czcionki obrazkowej",localSTIXfonts:"U\u017Cyj lokalnej czcionki STIX",webSVGfonts:"U\u017Cyj internetowej czcionki SVG",genericfonts:"U\u017Cyj generowanej czcionki unicode",wofforotffonts:"czcionki WOFF lub OTF",eotffonts:"czcionki EOT",svgfonts:"czcionki SVG",WebkitNativeMMLWarning:"Twoja przegl\u0105darka nie obs\u0142uguje MathML, wi\u0119c zmiana wyj\u015Bcia do MathML mo\u017Ce spowodowa\u0107, \u017Ce strona stanie si\u0119 niemo\u017Cliwa do odczytania.",MSIENativeMMLWarning:"Program Internet Explorer wymaga wtyczki MathPlayer do procesu wy\u015Bwietlania MathML.",OperaNativeMMLWarning:"Wsparcie dla MathML w Operze jest ograniczone. W zwi\u0105zku z tym zmiana wyj\u015Bcia na MathML mo\u017Ce spowodowa\u0107, \u017Ce niekt\u00F3re strony b\u0119d\u0105 niemo\u017Cliwe do odczytania.",SafariNativeMMLWarning:"MathML zaimplementowany w twojej przegl\u0105darce nie obs\u0142uguje wszystkich mo\u017Cliwo\u015Bci MathJax, wi\u0119c cz\u0119\u015B\u0107 wyra\u017Cen mo\u017Ce nie renderowa\u0107 si\u0119 poprawnie.",FirefoxNativeMMLWarning:"MathML zaimplementowany w twojej przegl\u0105darce nie obs\u0142uguje wszystkich mo\u017Cliwo\u015Bci MathJax, wi\u0119c cz\u0119\u015B\u0107 wyra\u017Ce\u0144 mo\u017Ce nie renderowa\u0107 si\u0119 poprawnie.",MSIESVGWarning:"SVG nie jest zaimplementowane w Internet Explorerze do wersji 9 lub podczas emulowania IE8 lub poni\u017Cej, wi\u0119c zmiana wyj\u015Bcia do SVG mo\u017Ce spowodowa\u0107, \u017Ce strona stanie si\u0119 niemo\u017Cliwa do odczytania.",LoadURL:"Za\u0142aduj t\u0142umaczenie z tego URL:",BadURL:'Adres URL powinien by\u0107 dla pliku JavaScript, kt\u00F3ry definiuje dane t\u0142umaczenie MathJax. Pliki JavaScript powinny ko\u0144czy\u0107 si\u0119 ".js"',BadData:"Nie mo\u017Cna za\u0142adowa\u0107 danych t\u0142umacze\u0144 z  %1",SwitchAnyway:"Na pewno zmieni\u0107 renderer ?\n\n(Naci\u015Bnij OK a\u017Ceby zmieni\u0107, lub CANCEL aby kontynuowa\u0107 z aktualnym rendererem)",ScaleMath:"Skaluj wszystkie wzory matematyczne (por\u00F3wnane do otaczaj\u0105cego tekstu) przez",NonZeroScale:"Warto\u015B\u0107 nie powinna by\u0107 zerowa",PercentScale:"Warto\u015B\u0107 powinna by\u0107 w procentach (na przyk\u0142ad 120%%)",IE8warning:"Ta opcja wy\u0142\u0105czy obs\u0142ug\u0119 menu i powi\u0119kszania w MathJax, ale mo\u017Cesz klikn\u0105\u0107 z Altem na wz\u00F3r, aby otworzy\u0107 menu MathJax.\n\nCzy na pewno chcesz zmieni\u0107 ustawienia MathPlayer?",IE9warning:"Menu kontekstowe MathJax zostanie wy\u0142\u0105czone, ale mo\u017Cesz klikn\u0105\u0107 z Altem na wz\u00F3r, aby otworzy\u0107 menu.",NoOriginalForm:"Brak wzor\u00F3w w oryginalnej postaci",Close:"Zamknij",EqSource:"\u0179r\u00F3d\u0142o wzoru MathJax",STIXWeb:"STIX (www)",AsanaMathWeb:"Asana Math (www)",GyrePagellaWeb:"Gyre Pagella (www)",GyreTermesWeb:"Gyre Termes (www)",LatinModernWeb:"Latin Modern (www)",NeoEulerWeb:"Neo Euler (www)",CloseAboutDialog:"Zamknij okno o MathJax",FastPreview:"Szybki podgl\u0105d strony",AssistiveMML:"Asystuj\u0105cy MathML",InTabOrder:"Zawarty w kolejno\u015Bci stron"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/MathMenu.js");
diff --git a/localization/pl/TeX.js b/localization/pl/TeX.js
index 946c0776b7..82e0763e92 100644
--- a/localization/pl/TeX.js
+++ b/localization/pl/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pl/TeX.js
+ *  /MathJax-v2/localization/pl/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Nadmiarowy nawias otwieraj\u0105cy lub brakuj\u0105cy nawias zamykaj\u0105cy",ExtraCloseMissingOpen:"Nadmiarowy nawias zamykaj\u0105cy lub brakuj\u0105cy nawias otwieraj\u0105cy",MissingLeftExtraRight:"Brakuj\u0105cy \\left lub nadmiarowy \\right",MissingScript:"Brakuj\u0105cy argument dla indeksu dolnego lub g\u00F3rnego",ExtraLeftMissingRight:"Nadmiarowy \\left lub brakuj\u0105cy \\right",Misplaced:"\u0179le umiejscowiony %1",MissingOpenForSub:"Brakuj\u0105cy nawias otwieraj\u0105cy dla indeksu dolnego",MissingOpenForSup:"Brakuj\u0105cy nawias otwieraj\u0105cy dla indeksu g\u00F3rnego",AmbiguousUseOf:"Niejednoznaczne u\u017Cycie %1",EnvBadEnd:"\\begin{%1} zosta\u0142 zako\u0144czony \\end{%2}",EnvMissingEnd:"Brakuj\u0105ce \\end{%1}",MissingBoxFor:"Brakuj\u0105ce pude\u0142ko (box) dla %1",MissingCloseBrace:"Brakuj\u0105cy nawias zamykaj\u0105cy",UndefinedControlSequence:"Nieznana komenda steruj\u0105ca %1",DoubleExponent:"Podw\u00F3jna pot\u0119ga: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",DoubleSubscripts:"Podw\u00F3jny indeks: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",DoubleExponentPrime:"Znak ' oznacza podw\u00F3jny wyk\u0142adnik: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",CantUseHash1:"Nie mo\u017Cesz u\u017Cywa\u0107 znaku parametru makra # w trybie matematycznym",MisplacedMiddle:"%1 musi by\u0107 pomi\u0119dzy \\left i \\right",MisplacedLimits:"%1 jest dozwolony tylko dla operator\u00F3w",MisplacedMoveRoot:"%1 mo\u017Ce pojawi\u0107 si\u0119 tylko w ramach korzenia (root)",MultipleCommand:"Wielokrotny %1",IntegerArg:"Parametr dla %1 musi by\u0107 liczb\u0105 ca\u0142kowit\u0105",NotMathMLToken:"%1 nie jest elementem typu token",InvalidMathMLAttr:"Nieprawid\u0142owy atrybut MathML: %1",UnknownAttrForElement:"%1 nie jest znanym atrybutem dla %2",MaxMacroSub1:"Przekroczono maksymaln\u0105 liczb\u0119 wywo\u0142a\u0144 makra; czy wyst\u0119puje rekursywne makro?",MaxMacroSub2:"Przekroczono maksymaln\u0105 liczb\u0119 zast\u0105pie\u0144 MathJax; czy wyst\u0119puje rekursywne \u015Brodowisko LaTeX?",MissingArgFor:"Brakuje argumentu dla %1",ExtraAlignTab:"Nadmiarowy tabulator w \\cases",BracketMustBeDimension:"Argument w nawiasie dla %1 musi by\u0107 wymiarem",InvalidEnv:"Nieznana nazwa \u015Brodowiska '%1'",UnknownEnv:"Nieznane \u015Brodowisko '%1'",ExtraCloseLooking:"Nadmiarowy nawias zamykaj\u0105cy napotkany w czasie poszukiwania %1",MissingCloseBracket:"Nie odnaleziono zamykaj\u0105cego nawiasu ']' dla argumentu dla %1",MissingOrUnrecognizedDelim:"Nieodnaleziony lub nierozpoznany separator dla %1",MissingDimOrUnits:"Brakuje wymiaru lub jego jednostki dla %1",TokenNotFoundForCommand:"Nie odnaleziono %1 dla %2",MathNotTerminated:"Nie odnaleziono zako\u0144czenia w polu tekstowym",IllegalMacroParam:"Nieprawid\u0142owa referencja do parametru makra",MaxBufferSize:"Przekroczono rozmiar bufora MathJax, czy istnieje rekursywne wywo\u0142anie makra?",CommandNotAllowedInEnv:"%1 nie jest dozwolony w \u015Brodowisku %2",MultipleLabel:"Wielokrotna definicja etykiety '%1'",CommandAtTheBeginingOfLine:"%1 musi znajdowa\u0107 si\u0119 na pocz\u0105tku linii",IllegalAlign:"Nieprawid\u0142owy argument dla %1",BadMathStyleFor:"B\u0142\u0119dny styl dla %1",PositiveIntegerArg:"Argument dla %1 musi by\u0107 dodatni\u0105 liczb\u0105 ca\u0142kowit\u0105",ErroneousNestingEq:"B\u0142\u0119dne zagnie\u017Cd\u017Cenie wyra\u017Ce\u0144",MultlineRowsOneCol:"Wiersze w \u015Brodowisku %1 musz\u0105 mie\u0107 dok\u0142adnie jedn\u0105 kolumn\u0119",MultipleBBoxProperty:"%1 okre\u015Blony dwa razy w %2",InvalidBBoxProperty:"'%1' nie jest kolorem, wielko\u015Bci\u0105 odst\u0119pu, ani stylem",ExtraEndMissingBegin:"Nadmiarowy %1 lub brakuj\u0105cy \\begingroup",GlobalNotFollowedBy:"Po %1 nie wyst\u0119puje \\let, \\def, ani \\newcommand",UndefinedColorModel:"Przestrze\u0144 barw '%1' nie jest zdefiniowana",ModelArg1:"Warto\u015Bci kolor\u00F3w dla przestrzeni %1 wymagaj\u0105 3 liczb",InvalidDecimalNumber:"Nieprawid\u0142owe liczba dziesi\u0119tna",ModelArg2:"Warto\u015Bci kolor\u00F3w dla przestrzeni %1 musz\u0105 by\u0107 pomi\u0119dzy %2 i %3",InvalidNumber:"B\u0142\u0119dna liczba",NewextarrowArg1:"Pierwszy argument dla %1 musi by\u0107 nazw\u0105 sekwencji kontrolnej",NewextarrowArg2:"Drugi argumentem dla %1 musz\u0105 by\u0107 dwie liczby ca\u0142kowite oddzielone przecinkiem",NewextarrowArg3:"Trzeci argument dla %1 musi by\u0107 numerem znaku unicode",NoClosingChar:"Nie mo\u017Cna odnale\u017A\u0107 zamykaj\u0105cego %1",IllegalControlSequenceName:"Nieprawid\u0142owa nazwa sekwencji kontrolnej dla %1",IllegalParamNumber:"Nieprawid\u0142owa liczba parametr\u00F3w dla %1",MissingCS:"Po %1 musi wyst\u0105pi\u0107 sekwencja kontrolna",CantUseHash2:"Nieprawid\u0142owe u\u017Cycie # w szablonie dla %1",SequentialParam:"Parametry dla %1 musz\u0105 by\u0107 ponumerowane rosn\u0105co",MissingReplacementString:"Brak \u0142a\u0144cucha zamiennego dla definicji %1",MismatchUseDef:"U\u017Cycie %1 niezgodne z definicj\u0105",RunawayArgument:"Zgin\u0105\u0142 argument dla %1?",NoClosingDelim:"Nie mo\u017Cna znale\u017A\u0107\u00A0ko\u0144cz\u0105cego separatora dla %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/TeX.js");
+MathJax.Localization.addTranslation("pl","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Nadmiarowy nawias otwieraj\u0105cy lub brakuj\u0105cy nawias zamykaj\u0105cy",ExtraCloseMissingOpen:"Nadmiarowy nawias zamykaj\u0105cy lub brakuj\u0105cy nawias otwieraj\u0105cy",MissingLeftExtraRight:"Brakuj\u0105cy \\left lub nadmiarowy \\right",MissingScript:"Brakuj\u0105cy argument dla indeksu dolnego lub g\u00F3rnego",ExtraLeftMissingRight:"Nadmiarowy \\left lub brakuj\u0105cy \\right",Misplaced:"\u0179le umiejscowiony %1",MissingOpenForSub:"Brakuj\u0105cy nawias otwieraj\u0105cy dla indeksu dolnego",MissingOpenForSup:"Brakuj\u0105cy nawias otwieraj\u0105cy dla indeksu g\u00F3rnego",AmbiguousUseOf:"Niejednoznaczne u\u017Cycie %1",EnvBadEnd:"\\begin{%1} zosta\u0142 zako\u0144czony \\end{%2}",EnvMissingEnd:"Brakuj\u0105ce \\end{%1}",MissingBoxFor:"Brakuj\u0105ce pude\u0142ko (box) dla %1",MissingCloseBrace:"Brakuj\u0105cy nawias zamykaj\u0105cy",UndefinedControlSequence:"Nieznana komenda steruj\u0105ca %1",DoubleExponent:"Podw\u00F3jna pot\u0119ga: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",DoubleSubscripts:"Podw\u00F3jny indeks: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",DoubleExponentPrime:"Znak ' oznacza podw\u00F3jny wyk\u0142adnik: u\u017Cyj nawias\u00F3w, aby unikn\u0105\u0107 niejednoznaczno\u015Bci",CantUseHash1:"Nie mo\u017Cesz u\u017Cywa\u0107 znaku parametru makra # w trybie matematycznym",MisplacedMiddle:"%1 musi by\u0107 pomi\u0119dzy \\left i \\right",MisplacedLimits:"%1 jest dozwolony tylko dla operator\u00F3w",MisplacedMoveRoot:"%1 mo\u017Ce pojawi\u0107 si\u0119 tylko w ramach korzenia (root)",MultipleCommand:"Wielokrotny %1",IntegerArg:"Parametr dla %1 musi by\u0107 liczb\u0105 ca\u0142kowit\u0105",NotMathMLToken:"%1 nie jest elementem typu token",InvalidMathMLAttr:"Nieprawid\u0142owy atrybut MathML: %1",UnknownAttrForElement:"%1 nie jest znanym atrybutem dla %2",MaxMacroSub1:"Przekroczono maksymaln\u0105 liczb\u0119 wywo\u0142a\u0144 makra; czy wyst\u0119puje rekursywne makro?",MaxMacroSub2:"Przekroczono maksymaln\u0105 liczb\u0119 zast\u0105pie\u0144 MathJax; czy wyst\u0119puje rekursywne \u015Brodowisko LaTeX?",MissingArgFor:"Brakuje argumentu dla %1",ExtraAlignTab:"Nadmiarowy tabulator w \\cases",BracketMustBeDimension:"Argument w nawiasie dla %1 musi by\u0107 wymiarem",InvalidEnv:"Nieznana nazwa \u015Brodowiska '%1'",UnknownEnv:"Nieznane \u015Brodowisko '%1'",ExtraCloseLooking:"Nadmiarowy nawias zamykaj\u0105cy napotkany w czasie poszukiwania %1",MissingCloseBracket:"Nie odnaleziono zamykaj\u0105cego nawiasu ']' dla argumentu dla %1",MissingOrUnrecognizedDelim:"Nieodnaleziony lub nierozpoznany separator dla %1",MissingDimOrUnits:"Brakuje wymiaru lub jego jednostki dla %1",TokenNotFoundForCommand:"Nie odnaleziono %1 dla %2",MathNotTerminated:"Nie odnaleziono zako\u0144czenia w polu tekstowym",IllegalMacroParam:"Nieprawid\u0142owa referencja do parametru makra",MaxBufferSize:"Przekroczono rozmiar bufora MathJax, czy istnieje rekursywne wywo\u0142anie makra?",CommandNotAllowedInEnv:"%1 nie jest dozwolony w \u015Brodowisku %2",MultipleLabel:"Wielokrotna definicja etykiety '%1'",CommandAtTheBeginingOfLine:"%1 musi znajdowa\u0107 si\u0119 na pocz\u0105tku linii",IllegalAlign:"Nieprawid\u0142owy argument dla %1",BadMathStyleFor:"B\u0142\u0119dny styl dla %1",PositiveIntegerArg:"Argument dla %1 musi by\u0107 dodatni\u0105 liczb\u0105 ca\u0142kowit\u0105",ErroneousNestingEq:"B\u0142\u0119dne zagnie\u017Cd\u017Cenie wyra\u017Ce\u0144",MultlineRowsOneCol:"Wiersze w \u015Brodowisku %1 musz\u0105 mie\u0107 dok\u0142adnie jedn\u0105 kolumn\u0119",MultipleBBoxProperty:"%1 okre\u015Blony dwa razy w %2",InvalidBBoxProperty:"'%1' nie jest kolorem, wielko\u015Bci\u0105 odst\u0119pu, ani stylem",ExtraEndMissingBegin:"Nadmiarowy %1 lub brakuj\u0105cy \\begingroup",GlobalNotFollowedBy:"Po %1 nie wyst\u0119puje \\let, \\def, ani \\newcommand",UndefinedColorModel:"Przestrze\u0144 barw '%1' nie jest zdefiniowana",ModelArg1:"Warto\u015Bci kolor\u00F3w dla przestrzeni %1 wymagaj\u0105 3 liczb",InvalidDecimalNumber:"Nieprawid\u0142owe liczba dziesi\u0119tna",ModelArg2:"Warto\u015Bci kolor\u00F3w dla przestrzeni %1 musz\u0105 by\u0107 pomi\u0119dzy %2 i %3",InvalidNumber:"B\u0142\u0119dna liczba",NewextarrowArg1:"Pierwszy argument dla %1 musi by\u0107 nazw\u0105 sekwencji kontrolnej",NewextarrowArg2:"Drugi argumentem dla %1 musz\u0105 by\u0107 dwie liczby ca\u0142kowite oddzielone przecinkiem",NewextarrowArg3:"Trzeci argument dla %1 musi by\u0107 numerem znaku unicode",NoClosingChar:"Nie mo\u017Cna odnale\u017A\u0107 zamykaj\u0105cego %1",IllegalControlSequenceName:"Nieprawid\u0142owa nazwa sekwencji kontrolnej dla %1",IllegalParamNumber:"Nieprawid\u0142owa liczba parametr\u00F3w dla %1",MissingCS:"Po %1 musi wyst\u0105pi\u0107 sekwencja kontrolna",CantUseHash2:"Nieprawid\u0142owe u\u017Cycie # w szablonie dla %1",SequentialParam:"Parametry dla %1 musz\u0105 by\u0107 ponumerowane rosn\u0105co",MissingReplacementString:"Brak \u0142a\u0144cucha zamiennego dla definicji %1",MismatchUseDef:"U\u017Cycie %1 niezgodne z definicj\u0105",RunawayArgument:"Zgin\u0105\u0142 argument dla %1?",NoClosingDelim:"Nie mo\u017Cna znale\u017A\u0107\u00A0ko\u0144cz\u0105cego separatora dla %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/TeX.js");
diff --git a/localization/pl/pl.js b/localization/pl/pl.js
index 59fb5b3f91..83d7e0f82c 100644
--- a/localization/pl/pl.js
+++ b/localization/pl/pl.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pl/pl.js
+ *  /MathJax-v2/localization/pl/pl.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pl",null,{menuTitle:"polski",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax znalaz\u0142 konfiguracj\u0119 zapisan\u0105 w ciasteczku, kt\u00F3ra zawiera kod do uruchomienia. Czy chcesz go uruchomi\u0107?\n\n(Powiniene\u015B nacisn\u0105\u0107 Anuluj, je\u015Bli to nie Ty stworzy\u0142e\u015B t\u0119 konfiguracj\u0119.)",MathProcessingError:"B\u0142\u0105d podczas przetwarzania wzor\u00F3w matematycznych",MathError:"B\u0142\u0105d we wzorze matematycznym",LoadFile:"\u0141aduj\u0119 %1",Loading:"\u0141aduj\u0119",LoadFailed:"Nie uda\u0142o si\u0119 za\u0142adowa\u0107 pliku: %1",ProcessMath:"Przetwarzam wzory matematyczne: %1%%",Processing:"Przetwarzam",TypesetMath:"Przetwarzam wzory matematyczne: %1%%",Typesetting:"Przetwarzam",MathJaxNotSupported:"Twoja przegl\u0105darka nie obs\u0142uguje MathJax",ErrorTips:"Porady debugowania: u\u017Cyj %%1, sprawd\u017A %%2 w konsoli przegl\u0105darki."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a==1){return 1}else{if(a%10>=2&&a%10<=4&&(a%100<10||a%100>=20)){return 2}else{return 3}}},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/pl.js");
+MathJax.Localization.addTranslation("pl",null,{menuTitle:"polski",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax znalaz\u0142 konfiguracj\u0119 zapisan\u0105 w ciasteczku, kt\u00F3ra zawiera kod do uruchomienia. Czy chcesz go uruchomi\u0107?\n\n(Powiniene\u015B nacisn\u0105\u0107 Anuluj, je\u015Bli to nie Ty stworzy\u0142e\u015B t\u0119 konfiguracj\u0119.)",MathProcessingError:"B\u0142\u0105d podczas przetwarzania wzor\u00F3w matematycznych",MathError:"B\u0142\u0105d we wzorze matematycznym",LoadFile:"\u0141aduj\u0119 %1",Loading:"\u0141aduj\u0119",LoadFailed:"Nie uda\u0142o si\u0119 za\u0142adowa\u0107 pliku: %1",ProcessMath:"Przetwarzam wzory matematyczne: %1%%",Processing:"Przetwarzam",TypesetMath:"Przetwarzam wzory matematyczne: %1%%",Typesetting:"Przetwarzam",MathJaxNotSupported:"Twoja przegl\u0105darka nie obs\u0142uguje MathJax",ErrorTips:"Porady debugowania: u\u017Cyj %%1, sprawd\u017A %%2 w konsoli przegl\u0105darki."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a==1){return 1}else{if(a%10>=2&&a%10<=4&&(a%100<10||a%100>=20)){return 2}else{return 3}}},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pl/pl.js");
diff --git a/localization/pt-br/FontWarnings.js b/localization/pt-br/FontWarnings.js
index 6d670fb6c2..31f291c244 100644
--- a/localization/pt-br/FontWarnings.js
+++ b/localization/pt-br/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt-br/FontWarnings.js
+ *  /MathJax-v2/localization/pt-br/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"O MathJax est\u00E1 utilizando fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. O download delas leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se voc\u00EA instalasse as fontes para matem\u00E1tica diretamente na pasta de fontes do seu sistema.",imageFonts:"O MathJax est\u00E1 utilizando fontes feitas com imagens em vez de fontes locais ou baseadas em web. Isso torna a renderiza\u00E7\u00E3o mais lenta do que o de costume, e as f\u00F3rmulas matem\u00E1ticas poder\u00E3o n\u00E3o ser impressas com a maior resolu\u00E7\u00E3o dispon\u00EDvel em sua impressora.",noFonts:"O MathJax n\u00E3o foi capaz de localizar uma fonte para utilizar ao renderizar as f\u00F3rmulas matem\u00E1ticas, e n\u00E3o est\u00E3o dispon\u00EDveis fontes feitas com imagens, ent\u00E3o ser\u00E3o utilizados caracteres unicode gen\u00E9ricos com a esperan\u00E7a de que o seu navegador seja capaz de exib\u00ED-los. Alguns caracteres podem n\u00E3o aparecer como deveriam, ou simplesmente desaparecer.",webFonts:"A maioria dos navegadores modernos permite que as fontes sejam baixadas a partir da web. Atualizar para uma vers\u00E3o mais recente do seu navegador (ou mudar de navegador) poderia melhorar a qualidade das f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina.",fonts:"O MathJax pode usar tanto [fontes STIX](%1) ou as [fontes MathJax TeX](%2). Baixe e instale uma destas fontes para melhorar sua experi\u00EAncia com o MathJax.",STIXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes STIX](%1).  Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax.",TeXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes MathJax TeX](%1). Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/FontWarnings.js");
+MathJax.Localization.addTranslation("pt-br","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"O MathJax est\u00E1 utilizando fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. O download delas leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se voc\u00EA instalasse as fontes para matem\u00E1tica diretamente na pasta de fontes do seu sistema.",imageFonts:"O MathJax est\u00E1 utilizando fontes feitas com imagens em vez de fontes locais ou baseadas em web. Isso torna a renderiza\u00E7\u00E3o mais lenta do que o de costume, e as f\u00F3rmulas matem\u00E1ticas poder\u00E3o n\u00E3o ser impressas com a maior resolu\u00E7\u00E3o dispon\u00EDvel em sua impressora.",noFonts:"O MathJax n\u00E3o foi capaz de localizar uma fonte para utilizar ao renderizar as f\u00F3rmulas matem\u00E1ticas, e n\u00E3o est\u00E3o dispon\u00EDveis fontes feitas com imagens, ent\u00E3o ser\u00E3o utilizados caracteres unicode gen\u00E9ricos com a esperan\u00E7a de que o seu navegador seja capaz de exib\u00ED-los. Alguns caracteres podem n\u00E3o aparecer como deveriam, ou simplesmente desaparecer.",webFonts:"A maioria dos navegadores modernos permite que as fontes sejam baixadas a partir da web. Atualizar para uma vers\u00E3o mais recente do seu navegador (ou mudar de navegador) poderia melhorar a qualidade das f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina.",fonts:"O MathJax pode usar tanto [fontes STIX](%1) ou as [fontes MathJax TeX](%2). Baixe e instale uma destas fontes para melhorar sua experi\u00EAncia com o MathJax.",STIXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes STIX](%1).  Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax.",TeXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes MathJax TeX](%1). Baixe e instale estas fontes para melhorar sua experi\u00EAncia com o MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/FontWarnings.js");
diff --git a/localization/pt-br/HTML-CSS.js b/localization/pt-br/HTML-CSS.js
index 5cf0a992ce..efa7ffad29 100644
--- a/localization/pt-br/HTML-CSS.js
+++ b/localization/pt-br/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt-br/HTML-CSS.js
+ *  /MathJax-v2/localization/pt-br/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Carregando fonte baseada em web %1",CantLoadWebFont:"N\u00E3o foi poss\u00EDvel carregar a fonte baseada em web %1",FirefoxCantLoadWebFont:"O Firefox N\u00E3o pode carregar fontes baseadas em web a partir de um host remoto",CantFindFontUsing:"N\u00E3o \u00E9 poss\u00EDvel encontrar uma fonte v\u00E1lida usando %1",WebFontsNotAvailable:"Fontes baseadas em web n\u00E3o est\u00E3o dispon\u00EDveis -- usando fontes feitas com imagens em vez disso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/HTML-CSS.js");
+MathJax.Localization.addTranslation("pt-br","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Carregando fonte baseada em web %1",CantLoadWebFont:"N\u00E3o foi poss\u00EDvel carregar a fonte baseada em web %1",FirefoxCantLoadWebFont:"O Firefox N\u00E3o pode carregar fontes baseadas em web a partir de um host remoto",CantFindFontUsing:"N\u00E3o \u00E9 poss\u00EDvel encontrar uma fonte v\u00E1lida usando %1",WebFontsNotAvailable:"Fontes baseadas em web n\u00E3o est\u00E3o dispon\u00EDveis -- usando fontes feitas com imagens em vez disso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/HTML-CSS.js");
diff --git a/localization/pt-br/HelpDialog.js b/localization/pt-br/HelpDialog.js
index 9dac95e516..3c27175277 100644
--- a/localization/pt-br/HelpDialog.js
+++ b/localization/pt-br/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt-br/HelpDialog.js
+ *  /MathJax-v2/localization/pt-br/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Ajuda do MathJax",MathJax:"*MathJax* \u00E9 uma biblioteca em JavaScript que permite aos autores a inclus\u00E3o de conte\u00FAdo matem\u00E1tico em suas p\u00E1ginas web. Como um renderizador, voc\u00EA n\u00E3o precisa fazer nada para que isso ocorra.",Browsers:"*Navegadores*: O MathJax funciona em todos os navegadores modernos incluindo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e a maioria dos navegadores para dispositivos m\u00F3veis.",Menu:"*Menu de F\u00F3rmulas*: O MathJax acrescenta um menu de contexto \u00E0s equa\u00E7\u00F5es. Clique com o bot\u00E3o direito ou pressione CTRL ao clicar em qualquer f\u00F3rmula matem\u00E1tica para acessar o menu.",ShowMath:"*Mostrar F\u00F3rmulas Como* permite que visualize o c\u00F3digo da f\u00F3rmula para copiar e colar (como MathML ou em seu formato original).",Settings:"*Configura\u00E7\u00F5es* oferecem a voc\u00EA o controle sobre os recursos do MathJax, tais como o tamanho das f\u00F3rmulas, e o mecanismo utilizado para exibir equa\u00E7\u00F5es.",Language:"*Idioma* permite que escolha o idioma que o MathJax utiliza em seus menus e mensagens de aviso.",Zoom:"*Zoom nas F\u00F3rmulas*: Se voc\u00EA tem dificuldade para ler uma equa\u00E7\u00E3o, o MathJax pode ampli\u00E1-la para ajud\u00E1-lo a visualiz\u00E1-la melhor.",Accessibilty:"*Acessibilidade*: O MathJax funcionar\u00E1 automaticamente em leitores de tela para tornar as f\u00F3rmulas matem\u00E1ticas acess\u00EDveis aos que possuem problemas de vis\u00E3o.",Fonts:"*Fontes*: O MathJax utilizar\u00E1 certas fontes para f\u00F3rmulas matem\u00E1ticas se elas estiverem instaladas no seu computador; caso contr\u00E1rio, ele utilizar\u00E1 fontes baseadas em web. Embora n\u00E3o seja obrigat\u00F3rio, o uso de fontes instaladas localmente acelerar\u00E1 a diagrama\u00E7\u00E3o. Sugerimos que instale [fontes STIX](%1).",CloseDialog:"Fechar caixa de ajuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/HelpDialog.js");
+MathJax.Localization.addTranslation("pt-br","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Ajuda do MathJax",MathJax:"*MathJax* \u00E9 uma biblioteca em JavaScript que permite aos autores a inclus\u00E3o de conte\u00FAdo matem\u00E1tico em suas p\u00E1ginas web. Como um renderizador, voc\u00EA n\u00E3o precisa fazer nada para que isso ocorra.",Browsers:"*Navegadores*: O MathJax funciona em todos os navegadores modernos incluindo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e a maioria dos navegadores para dispositivos m\u00F3veis.",Menu:"*Menu de F\u00F3rmulas*: O MathJax acrescenta um menu de contexto \u00E0s equa\u00E7\u00F5es. Clique com o bot\u00E3o direito ou pressione CTRL ao clicar em qualquer f\u00F3rmula matem\u00E1tica para acessar o menu.",ShowMath:"*Mostrar F\u00F3rmulas Como* permite que visualize o c\u00F3digo da f\u00F3rmula para copiar e colar (como MathML ou em seu formato original).",Settings:"*Configura\u00E7\u00F5es* oferecem a voc\u00EA o controle sobre os recursos do MathJax, tais como o tamanho das f\u00F3rmulas, e o mecanismo utilizado para exibir equa\u00E7\u00F5es.",Language:"*Idioma* permite que escolha o idioma que o MathJax utiliza em seus menus e mensagens de aviso.",Zoom:"*Zoom nas F\u00F3rmulas*: Se voc\u00EA tem dificuldade para ler uma equa\u00E7\u00E3o, o MathJax pode ampli\u00E1-la para ajud\u00E1-lo a visualiz\u00E1-la melhor.",Accessibilty:"*Acessibilidade*: O MathJax funcionar\u00E1 automaticamente em leitores de tela para tornar as f\u00F3rmulas matem\u00E1ticas acess\u00EDveis aos que possuem problemas de vis\u00E3o.",Fonts:"*Fontes*: O MathJax utilizar\u00E1 certas fontes para f\u00F3rmulas matem\u00E1ticas se elas estiverem instaladas no seu computador; caso contr\u00E1rio, ele utilizar\u00E1 fontes baseadas em web. Embora n\u00E3o seja obrigat\u00F3rio, o uso de fontes instaladas localmente acelerar\u00E1 a diagrama\u00E7\u00E3o. Sugerimos que instale [fontes STIX](%1).",CloseDialog:"Fechar caixa de ajuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/HelpDialog.js");
diff --git a/localization/pt-br/MathML.js b/localization/pt-br/MathML.js
index 864d24f8c6..4dcf52fb65 100644
--- a/localization/pt-br/MathML.js
+++ b/localization/pt-br/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt-br/MathML.js
+ *  /MathJax-v2/localization/pt-br/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Mglyph ruim: %1",BadMglyphFont:"Fonte ruim: %1",MathPlayer:"O MathJax n\u00E3o foi capaz de configurar o MathPlayer.\n\nSe o MathPlayer n\u00E3o estiver instalado, precisar\u00E1 instal\u00E1-lo primeiro.\nCaso contr\u00E1rio, suas configura\u00E7\u00F5es de seguran\u00E7a podem estar prevenindo a execu\u00E7\u00E3o\nde controles ActiveX.  Use as Op\u00E7\u00F5es de Internet sob\no menu Ferramentas e selecione a aba de Seguran\u00E7a ent\u00E3o pressione o bot\u00E3o N\u00EDvel Personalizado. Confira se as configura\u00E7\u00F5es para 'Execu\u00E7\u00E3o de Controles ActiveX', e 'Comportamento de scripts e c\u00F3digos bin\u00E1rios'\nest\u00E3o ativadas.\n\nAtualmente voc\u00EA ver\u00E1 mensagens de erro em vez da \ndiagrama\u00E7\u00E3o das f\u00F3rmulas matem\u00E1ticas.",CantCreateXMLParser:"O MathJax n\u00E3o pode criar um interpretador de XML para o MathML.  Confira se\na configura\u00E7\u00E3o de seguran\u00E7a 'Controles de Script ActiveX marcados como seguros para scripting'\nest\u00E1 habilitado (use as Op\u00E7\u00F5es de Internet no menu \nFerramentas, e selecione o painel de Seguran\u00E7a, depois pressione o bot\u00E3o N\u00EDvel Personalizado\npara conferir isso).\n\nAs equa\u00E7\u00F5es em MathML n\u00E3o poder\u00E3o ser processadas pelo MathJax.",UnknownNodeType:"Tipo de n\u00F3 desconhecido: %1",UnexpectedTextNode:"N\u00F3 de texto inesperado: %1",ErrorParsingMathML:"Erro ao interpretar MathML",ParsingError:"Erro ao interpretar MathML: %1",MathMLSingleElement:"MathML deve ser formado por um \u00FAnico elemento",MathMLRootElement:"MathML deve ser formado por um elemento \u003Cmath\u003E, n\u00E3o %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/MathML.js");
+MathJax.Localization.addTranslation("pt-br","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"Mglyph ruim: %1",BadMglyphFont:"Fonte ruim: %1",MathPlayer:"O MathJax n\u00E3o foi capaz de configurar o MathPlayer.\n\nSe o MathPlayer n\u00E3o estiver instalado, precisar\u00E1 instal\u00E1-lo primeiro.\nCaso contr\u00E1rio, suas configura\u00E7\u00F5es de seguran\u00E7a podem estar prevenindo a execu\u00E7\u00E3o\nde controles ActiveX.  Use as Op\u00E7\u00F5es de Internet sob\no menu Ferramentas e selecione a aba de Seguran\u00E7a ent\u00E3o pressione o bot\u00E3o N\u00EDvel Personalizado. Confira se as configura\u00E7\u00F5es para 'Execu\u00E7\u00E3o de Controles ActiveX', e 'Comportamento de scripts e c\u00F3digos bin\u00E1rios'\nest\u00E3o ativadas.\n\nAtualmente voc\u00EA ver\u00E1 mensagens de erro em vez da \ndiagrama\u00E7\u00E3o das f\u00F3rmulas matem\u00E1ticas.",CantCreateXMLParser:"O MathJax n\u00E3o pode criar um interpretador de XML para o MathML.  Confira se\na configura\u00E7\u00E3o de seguran\u00E7a 'Controles de Script ActiveX marcados como seguros para scripting'\nest\u00E1 habilitado (use as Op\u00E7\u00F5es de Internet no menu \nFerramentas, e selecione o painel de Seguran\u00E7a, depois pressione o bot\u00E3o N\u00EDvel Personalizado\npara conferir isso).\n\nAs equa\u00E7\u00F5es em MathML n\u00E3o poder\u00E3o ser processadas pelo MathJax.",UnknownNodeType:"Tipo de n\u00F3 desconhecido: %1",UnexpectedTextNode:"N\u00F3 de texto inesperado: %1",ErrorParsingMathML:"Erro ao interpretar MathML",ParsingError:"Erro ao interpretar MathML: %1",MathMLSingleElement:"MathML deve ser formado por um \u00FAnico elemento",MathMLRootElement:"MathML deve ser formado por um elemento \u003Cmath\u003E, n\u00E3o %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/MathML.js");
diff --git a/localization/pt-br/MathMenu.js b/localization/pt-br/MathMenu.js
index f7cbeb7827..1724c1eb07 100644
--- a/localization/pt-br/MathMenu.js
+++ b/localization/pt-br/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt-br/MathMenu.js
+ *  /MathJax-v2/localization/pt-br/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Mostrar F\u00F3rmulas Como",MathMLcode:"C\u00F3digo MathML",OriginalMathML:"MathML original",TeXCommands:"Comandos TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Formato original",ErrorMessage:"Mensagem de erro",Annotation:"Anota\u00E7\u00E3o",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML do conte\u00FAdo",OpenMath:"OpenMath",texHints:"Mostrar dicas de TeX em MathML",Settings:"Configura\u00E7\u00F5es das f\u00F3rmulas",ZoomTrigger:"Disparador do zoom",Hover:"Passar o mouse",Click:"Clique",DoubleClick:"Clique duplo",NoZoom:"Sem zoom",TriggerRequires:"O Disparador Requer:",Option:"Op\u00E7\u00E3o",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"Shift",ZoomFactor:"Fator de zoom",Renderer:"Renderizador das F\u00F3rmulas",MPHandles:"Deixe que o MathPlayer resolva:",MenuEvents:"Eventos de Menu",MouseEvents:"Eventos de Mouse",MenuAndMouse:"Eventos de Mouse e de Menu",FontPrefs:"Prefer\u00EAncias de Fontes",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagem)",STIXLocal:"STIX (local)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latim Moderno (Web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu de Contexto",Browser:"Navegador",Scale:"Redimensionar Todas as F\u00F3rmulas ...",Discoverable:"Destacar ao Passar o Mouse",Locale:"Idioma",LoadLocale:"Carregar a partir de URL ...",About:"Sobre o MathJax",Help:"Ajuda do MathJax",localTeXfonts:"usando fontes TeX locais",webTeXfonts:"usando fontes TeX da web",imagefonts:"usando fontes feitas com imagens",localSTIXfonts:"usando fontes STIX locais",webSVGfonts:"usando fontes SVG da web",genericfonts:"usando fontes unicode gen\u00E9ricas",wofforotffonts:"fontes WOFF ou OTF",eotffonts:"fontes EOT",svgfonts:"fontes SVG",WebkitNativeMMLWarning:"Parece que seu navegador n\u00E3o oferece suporte nativo ao MathML, ent\u00E3o a mudan\u00E7a para a sa\u00EDda do MathML pode tornar ileg\u00EDveis as f\u00F3rmulas matem\u00E1ticas da p\u00E1gina.",MSIENativeMMLWarning:"O Internet Explorer requer o plugin MathPlayer para processar MathML.",OperaNativeMMLWarning:"O suporte ao MathML no Opera \u00E9 limitado, ent\u00E3o a mudan\u00E7a para MathML pode piorar a renderiza\u00E7\u00E3o de algumas express\u00F5es.",SafariNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",FirefoxNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",MSIESVGWarning:"N\u00E3o h\u00E1 uma implementa\u00E7\u00E3o de SVG nas vers\u00F5es do Internet Explorer anteriores ao IE9 ou quando ele est\u00E1 emulando o IE8 ou as vers\u00F5es anteriores. A mudan\u00E7a para SVG far\u00E1 com que as f\u00F3rmulas n\u00E3o sejam exibidas adequadamente.",LoadURL:"Carregar os dados de tradu\u00E7\u00E3o a partir desta URL:",BadURL:"A URL deve ser para um um arquivo de javascript que defina os dados de tradu\u00E7\u00E3o do MathJax. Os nomes dos arquivos de Javascript devem terminar com '.js'",BadData:"Falha ao carregar os dados de tradu\u00E7\u00E3o de %1",SwitchAnyway:"Mudar para este renderizador mesmo assim?\n\n(Pressione OK para mudar, CANCELAR para continuar com o renderizador atual)",ScaleMath:"Redimensionar todas as f\u00F3rmulas matem\u00E1ticas (em rela\u00E7\u00E3o ao texto \u00E0 sua volta) em",NonZeroScale:"A escala n\u00E3o deve ser zero",PercentScale:"A escala deve ser uma porcentagem (por exemplo, 120%%)",IE8warning:"Isto desabilitar\u00E1 o menu MathJax e os recursos de zoom, mas voc\u00EA poder\u00E1 usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.\n\nRealmente alterar as configura\u00E7\u00F5es do MathPlayer?",IE9warning:"O menu de contexto do MathJax ser\u00E1 desabilitado, mas voc\u00EA pode usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.",NoOriginalForm:"Sem formulario original dispon\u00EDvel",Close:"Fechar",EqSource:"Fonte da Equa\u00E7\u00E3o do MathJax",CloseAboutDialog:"Fechar caixa sobre MathJax",FastPreview:"Pr\u00E9-visualiza\u00E7\u00E3o r\u00E1pida",AssistiveMML:"MAthML assistiva",InTabOrder:"Incluir na ordem da guia"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/MathMenu.js");
+MathJax.Localization.addTranslation("pt-br","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Mostrar F\u00F3rmulas Como",MathMLcode:"C\u00F3digo MathML",OriginalMathML:"MathML original",TeXCommands:"Comandos TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Formato original",ErrorMessage:"Mensagem de erro",Annotation:"Anota\u00E7\u00E3o",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML do conte\u00FAdo",OpenMath:"OpenMath",texHints:"Mostrar dicas de TeX em MathML",Settings:"Configura\u00E7\u00F5es das f\u00F3rmulas",ZoomTrigger:"Disparador do zoom",Hover:"Passar o mouse",Click:"Clique",DoubleClick:"Clique duplo",NoZoom:"Sem zoom",TriggerRequires:"O Disparador Requer:",Option:"Op\u00E7\u00E3o",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"Shift",ZoomFactor:"Fator de zoom",Renderer:"Renderizador das F\u00F3rmulas",MPHandles:"Deixe que o MathPlayer resolva:",MenuEvents:"Eventos de Menu",MouseEvents:"Eventos de Mouse",MenuAndMouse:"Eventos de Mouse e de Menu",FontPrefs:"Prefer\u00EAncias de Fontes",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagem)",STIXLocal:"STIX (local)",STIXWeb:"STIX (Web)",AsanaMathWeb:"Asana Math (Web)",GyrePagellaWeb:"Gyre Pagella (Web)",GyreTermesWeb:"Gyre Termes (Web)",LatinModernWeb:"Latim Moderno (Web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu de Contexto",Browser:"Navegador",Scale:"Redimensionar Todas as F\u00F3rmulas ...",Discoverable:"Destacar ao Passar o Mouse",Locale:"Idioma",LoadLocale:"Carregar a partir de URL ...",About:"Sobre o MathJax",Help:"Ajuda do MathJax",localTeXfonts:"usando fontes TeX locais",webTeXfonts:"usando fontes TeX da web",imagefonts:"usando fontes feitas com imagens",localSTIXfonts:"usando fontes STIX locais",webSVGfonts:"usando fontes SVG da web",genericfonts:"usando fontes unicode gen\u00E9ricas",wofforotffonts:"fontes WOFF ou OTF",eotffonts:"fontes EOT",svgfonts:"fontes SVG",WebkitNativeMMLWarning:"Parece que seu navegador n\u00E3o oferece suporte nativo ao MathML, ent\u00E3o a mudan\u00E7a para a sa\u00EDda do MathML pode tornar ileg\u00EDveis as f\u00F3rmulas matem\u00E1ticas da p\u00E1gina.",MSIENativeMMLWarning:"O Internet Explorer requer o plugin MathPlayer para processar MathML.",OperaNativeMMLWarning:"O suporte ao MathML no Opera \u00E9 limitado, ent\u00E3o a mudan\u00E7a para MathML pode piorar a renderiza\u00E7\u00E3o de algumas express\u00F5es.",SafariNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",FirefoxNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",MSIESVGWarning:"N\u00E3o h\u00E1 uma implementa\u00E7\u00E3o de SVG nas vers\u00F5es do Internet Explorer anteriores ao IE9 ou quando ele est\u00E1 emulando o IE8 ou as vers\u00F5es anteriores. A mudan\u00E7a para SVG far\u00E1 com que as f\u00F3rmulas n\u00E3o sejam exibidas adequadamente.",LoadURL:"Carregar os dados de tradu\u00E7\u00E3o a partir desta URL:",BadURL:"A URL deve ser para um um arquivo de javascript que defina os dados de tradu\u00E7\u00E3o do MathJax. Os nomes dos arquivos de Javascript devem terminar com '.js'",BadData:"Falha ao carregar os dados de tradu\u00E7\u00E3o de %1",SwitchAnyway:"Mudar para este renderizador mesmo assim?\n\n(Pressione OK para mudar, CANCELAR para continuar com o renderizador atual)",ScaleMath:"Redimensionar todas as f\u00F3rmulas matem\u00E1ticas (em rela\u00E7\u00E3o ao texto \u00E0 sua volta) em",NonZeroScale:"A escala n\u00E3o deve ser zero",PercentScale:"A escala deve ser uma porcentagem (por exemplo, 120%%)",IE8warning:"Isto desabilitar\u00E1 o menu MathJax e os recursos de zoom, mas voc\u00EA poder\u00E1 usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.\n\nRealmente alterar as configura\u00E7\u00F5es do MathPlayer?",IE9warning:"O menu de contexto do MathJax ser\u00E1 desabilitado, mas voc\u00EA pode usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.",NoOriginalForm:"Sem formulario original dispon\u00EDvel",Close:"Fechar",EqSource:"Fonte da Equa\u00E7\u00E3o do MathJax",CloseAboutDialog:"Fechar caixa sobre MathJax",FastPreview:"Pr\u00E9-visualiza\u00E7\u00E3o r\u00E1pida",AssistiveMML:"MAthML assistiva",InTabOrder:"Incluir na ordem da guia"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/MathMenu.js");
diff --git a/localization/pt-br/TeX.js b/localization/pt-br/TeX.js
index 8840868331..f690dd8336 100644
--- a/localization/pt-br/TeX.js
+++ b/localization/pt-br/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt-br/TeX.js
+ *  /MathJax-v2/localization/pt-br/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Sobrou uma chave de abertura ou faltou uma de fechamento",ExtraCloseMissingOpen:"Sobrou uma chave de fechamento ou faltou uma de abertura",MissingLeftExtraRight:"Faltou um \\left ou sobrou um \\right",MissingScript:"Faltou o argumento de um sobrescrito ou de um subscrito",ExtraLeftMissingRight:"Sobrou um \\left ou faltou um \\right",Misplaced:"%1 fora do lugar",MissingOpenForSub:"Faltou uma chave de abertura para o subscrito",MissingOpenForSup:"Faltou uma chave de abertura para o sobrescrito",AmbiguousUseOf:"Uso amb\u00EDguo de %1",EnvBadEnd:"\\begin{%1} foi terminado com \\end{%2}",EnvMissingEnd:"Faltou \\end{%1}",MissingBoxFor:"Faltou uma caixa para %1",MissingCloseBrace:"Faltou uma chave de fechamento",UndefinedControlSequence:"Sequ\u00EAncia de controle indefinida %1",DoubleExponent:"Expoente duplo: utilize chaves para esclarecer",DoubleSubscripts:"Subscrito duplo: utilize chaves para esclarecer",DoubleExponentPrime:"Prime causa expoente duplo: utilize chaves para esclarecer",CantUseHash1:"Voc\u00EA n\u00E3o pode usar o caractere # que indica um par\u00E2metro de macro no modo matem\u00E1tico",MisplacedMiddle:"%1 deve estar entre \\left e \\right",MisplacedLimits:"%1 s\u00F3 \u00E9 permitido nos operadores",MisplacedMoveRoot:"%1 pode aparecer somente dentro de uma raiz",MultipleCommand:"Repeti\u00E7\u00E3o de %1",IntegerArg:"O argumento de %1 deve ser um inteiro",NotMathMLToken:"%1 n\u00E3o \u00E9 um elemento de token",InvalidMathMLAttr:"Atributo MathML inv\u00E1lido: %1",UnknownAttrForElement:"%1 n\u00E3o \u00E9 um atributo reconhecido para %2",MaxMacroSub1:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es de macros do MathJax; h\u00E1 alguma chamada a uma macro recursiva?",MaxMacroSub2:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es do MathJax; h\u00E1 algum ambiente de LaTeX recursivo?",MissingArgFor:"Faltou um argumento para %1",ExtraAlignTab:"Sobrou um tab de alinhamento no texto de \\cases",BracketMustBeDimension:"O argumento nos colchetes de %1 deve ser uma dimens\u00E3o",InvalidEnv:"Nome de ambiente inv\u00E1lido '%1'",UnknownEnv:"Ambiente desconhecido '%1'",ExtraCloseLooking:"Sobrou uma chave de fechamento ao procurar por %1",MissingCloseBracket:"N\u00E3o foi encontrado um ']' de fechamento para o argumento de %1",MissingOrUnrecognizedDelim:"O delimitador para %1 est\u00E1 ausente ou n\u00E3o foi reconhecido",MissingDimOrUnits:"Faltou a dimens\u00E3o ou a unidade de %1",TokenNotFoundForCommand:"N\u00E3o foi encontrado %1 para %2",MathNotTerminated:"A f\u00F3rmula n\u00E3o foi terminada na caixa de texto",IllegalMacroParam:"Refer\u00EAncia inv\u00E1lida a um par\u00E2metro de macro",MaxBufferSize:"O tamanho do buffer interno do MathJax foi excedido; h\u00E1 alguma chamada a uma macro recursiva?",CommandNotAllowedInEnv:"%1 n\u00E3o \u00E9 permitido no ambiente %2",MultipleLabel:"O r\u00F3tulo '%1' foi definido mais de uma vez",CommandAtTheBeginingOfLine:"%1 deve vir no in\u00EDcio da linha",IllegalAlign:"Foi especificado um alinhamento ilegal em %1",BadMathStyleFor:"Estilo de f\u00F3rmulas matem\u00E1ticas ruim para %1",PositiveIntegerArg:"O argumento para %1 deve ser um numero inteiro positivo",ErroneousNestingEq:"Aninhamento incorreto de estruturas de equa\u00E7\u00F5es",MultlineRowsOneCol:"As linhas do ambiente %1 devem ter apenas uma coluna",MultipleBBoxProperty:"%1 foi especificado duas vezes em %2",InvalidBBoxProperty:"'%1' n\u00E3o parece ser uma cor, uma dimens\u00E3o para padding, nem um estilo",ExtraEndMissingBegin:"Sobrou um %1 ou faltou um \\begingroup",GlobalNotFollowedBy:"%1 n\u00E3o foi seguido por um \\let, \\def, ou \\newcommand",UndefinedColorModel:"O modelo de cores '%1' n\u00E3o foi definido",ModelArg1:"Os valores de cor para o modelo %1 exigem 3 n\u00FAmeros",InvalidDecimalNumber:"N\u00FAmero decimal inv\u00E1lido",ModelArg2:"Os valores de cor para o modelo %1 devem estar entre %2 e %3",InvalidNumber:"N\u00FAmero inv\u00E1lido",NewextarrowArg1:"O primeiro argumento de %1 deve ser o nome de uma sequ\u00EAncia de controle",NewextarrowArg2:"O segundo argumento de %1 deve ser composto de dois inteiros separados por uma v\u00EDrgula",NewextarrowArg3:"O terceiro argumento de %1 deve ser o n\u00FAmero de um caractere unicode",NoClosingChar:"N\u00E3o foi poss\u00EDvel encontrar um %1 de fechamento",IllegalControlSequenceName:"Nome ilegal para uma sequ\u00EAncia de controle de %1",IllegalParamNumber:"N\u00FAmero ilegal de par\u00E2metros especificado em %1",MissingCS:"%1 deve ser seguido por uma sequ\u00EAncia de controle",CantUseHash2:"Uso ilegal de # em um modelo para %1",SequentialParam:"Os par\u00E2metros para %1 devem ser numerados sequencialmente",MissingReplacementString:"Faltou a linha de substitui\u00E7\u00E3o para a defini\u00E7\u00E3o de %1",MismatchUseDef:"O uso de %1 n\u00E3o est\u00E1 de acordo com sua defini\u00E7\u00E3o",RunawayArgument:"Argumento extra para %1?",NoClosingDelim:"N\u00E3o foi encontrado um delimitador de fechamento para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/TeX.js");
+MathJax.Localization.addTranslation("pt-br","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Sobrou uma chave de abertura ou faltou uma de fechamento",ExtraCloseMissingOpen:"Sobrou uma chave de fechamento ou faltou uma de abertura",MissingLeftExtraRight:"Faltou um \\left ou sobrou um \\right",MissingScript:"Faltou o argumento de um sobrescrito ou de um subscrito",ExtraLeftMissingRight:"Sobrou um \\left ou faltou um \\right",Misplaced:"%1 fora do lugar",MissingOpenForSub:"Faltou uma chave de abertura para o subscrito",MissingOpenForSup:"Faltou uma chave de abertura para o sobrescrito",AmbiguousUseOf:"Uso amb\u00EDguo de %1",EnvBadEnd:"\\begin{%1} foi terminado com \\end{%2}",EnvMissingEnd:"Faltou \\end{%1}",MissingBoxFor:"Faltou uma caixa para %1",MissingCloseBrace:"Faltou uma chave de fechamento",UndefinedControlSequence:"Sequ\u00EAncia de controle indefinida %1",DoubleExponent:"Expoente duplo: utilize chaves para esclarecer",DoubleSubscripts:"Subscrito duplo: utilize chaves para esclarecer",DoubleExponentPrime:"Prime causa expoente duplo: utilize chaves para esclarecer",CantUseHash1:"Voc\u00EA n\u00E3o pode usar o caractere # que indica um par\u00E2metro de macro no modo matem\u00E1tico",MisplacedMiddle:"%1 deve estar entre \\left e \\right",MisplacedLimits:"%1 s\u00F3 \u00E9 permitido nos operadores",MisplacedMoveRoot:"%1 pode aparecer somente dentro de uma raiz",MultipleCommand:"Repeti\u00E7\u00E3o de %1",IntegerArg:"O argumento de %1 deve ser um inteiro",NotMathMLToken:"%1 n\u00E3o \u00E9 um elemento de token",InvalidMathMLAttr:"Atributo MathML inv\u00E1lido: %1",UnknownAttrForElement:"%1 n\u00E3o \u00E9 um atributo reconhecido para %2",MaxMacroSub1:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es de macros do MathJax; h\u00E1 alguma chamada a uma macro recursiva?",MaxMacroSub2:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es do MathJax; h\u00E1 algum ambiente de LaTeX recursivo?",MissingArgFor:"Faltou um argumento para %1",ExtraAlignTab:"Sobrou um tab de alinhamento no texto de \\cases",BracketMustBeDimension:"O argumento nos colchetes de %1 deve ser uma dimens\u00E3o",InvalidEnv:"Nome de ambiente inv\u00E1lido '%1'",UnknownEnv:"Ambiente desconhecido '%1'",ExtraCloseLooking:"Sobrou uma chave de fechamento ao procurar por %1",MissingCloseBracket:"N\u00E3o foi encontrado um ']' de fechamento para o argumento de %1",MissingOrUnrecognizedDelim:"O delimitador para %1 est\u00E1 ausente ou n\u00E3o foi reconhecido",MissingDimOrUnits:"Faltou a dimens\u00E3o ou a unidade de %1",TokenNotFoundForCommand:"N\u00E3o foi encontrado %1 para %2",MathNotTerminated:"A f\u00F3rmula n\u00E3o foi terminada na caixa de texto",IllegalMacroParam:"Refer\u00EAncia inv\u00E1lida a um par\u00E2metro de macro",MaxBufferSize:"O tamanho do buffer interno do MathJax foi excedido; h\u00E1 alguma chamada a uma macro recursiva?",CommandNotAllowedInEnv:"%1 n\u00E3o \u00E9 permitido no ambiente %2",MultipleLabel:"O r\u00F3tulo '%1' foi definido mais de uma vez",CommandAtTheBeginingOfLine:"%1 deve vir no in\u00EDcio da linha",IllegalAlign:"Foi especificado um alinhamento ilegal em %1",BadMathStyleFor:"Estilo de f\u00F3rmulas matem\u00E1ticas ruim para %1",PositiveIntegerArg:"O argumento para %1 deve ser um numero inteiro positivo",ErroneousNestingEq:"Aninhamento incorreto de estruturas de equa\u00E7\u00F5es",MultlineRowsOneCol:"As linhas do ambiente %1 devem ter apenas uma coluna",MultipleBBoxProperty:"%1 foi especificado duas vezes em %2",InvalidBBoxProperty:"'%1' n\u00E3o parece ser uma cor, uma dimens\u00E3o para padding, nem um estilo",ExtraEndMissingBegin:"Sobrou um %1 ou faltou um \\begingroup",GlobalNotFollowedBy:"%1 n\u00E3o foi seguido por um \\let, \\def, ou \\newcommand",UndefinedColorModel:"O modelo de cores '%1' n\u00E3o foi definido",ModelArg1:"Os valores de cor para o modelo %1 exigem 3 n\u00FAmeros",InvalidDecimalNumber:"N\u00FAmero decimal inv\u00E1lido",ModelArg2:"Os valores de cor para o modelo %1 devem estar entre %2 e %3",InvalidNumber:"N\u00FAmero inv\u00E1lido",NewextarrowArg1:"O primeiro argumento de %1 deve ser o nome de uma sequ\u00EAncia de controle",NewextarrowArg2:"O segundo argumento de %1 deve ser composto de dois inteiros separados por uma v\u00EDrgula",NewextarrowArg3:"O terceiro argumento de %1 deve ser o n\u00FAmero de um caractere unicode",NoClosingChar:"N\u00E3o foi poss\u00EDvel encontrar um %1 de fechamento",IllegalControlSequenceName:"Nome ilegal para uma sequ\u00EAncia de controle de %1",IllegalParamNumber:"N\u00FAmero ilegal de par\u00E2metros especificado em %1",MissingCS:"%1 deve ser seguido por uma sequ\u00EAncia de controle",CantUseHash2:"Uso ilegal de # em um modelo para %1",SequentialParam:"Os par\u00E2metros para %1 devem ser numerados sequencialmente",MissingReplacementString:"Faltou a linha de substitui\u00E7\u00E3o para a defini\u00E7\u00E3o de %1",MismatchUseDef:"O uso de %1 n\u00E3o est\u00E1 de acordo com sua defini\u00E7\u00E3o",RunawayArgument:"Argumento extra para %1?",NoClosingDelim:"N\u00E3o foi encontrado um delimitador de fechamento para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/TeX.js");
diff --git a/localization/pt-br/pt-br.js b/localization/pt-br/pt-br.js
index bfb7345de7..00785872f1 100644
--- a/localization/pt-br/pt-br.js
+++ b/localization/pt-br/pt-br.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt-br/pt-br.js
+ *  /MathJax-v2/localization/pt-br/pt-br.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt-br",null,{menuTitle:"portugu\u00EAs do Brasil",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"O MathJax encontrou um cookie com configura\u00E7\u00F5es de usu\u00E1rio que inclui c\u00F3digo a ser executado. Deseja execut\u00E1-lo?\n\n(Voc\u00EA deve pressionar Cancelar a n\u00E3o ser que voc\u00EA mesmo tenha criado o cookie.)",MathProcessingError:"Erro no processamento das f\u00F3rmulas",MathError:"Erro na f\u00F3rmula matem\u00E1tica",LoadFile:"Carregando %1",Loading:"Carregando",LoadFailed:"O arquivo n\u00E3o pode ser carregado: %1",ProcessMath:"Processando f\u00F3rmula: %1%%",Processing:"Processando",TypesetMath:"Realizando a Diagrama\u00E7\u00E3o das F\u00F3rmulas: %1%%",Typesetting:"Realizando a Diagrama\u00E7\u00E3o",MathJaxNotSupported:"Seu navegador n\u00E3o suporta MathJax",ErrorTips:"Dicas de depura\u00E7\u00E3o: use %%1, para inspecionar %%2 no console do navegador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/pt-br.js");
+MathJax.Localization.addTranslation("pt-br",null,{menuTitle:"portugu\u00EAs do Brasil",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"O MathJax encontrou um cookie com configura\u00E7\u00F5es de usu\u00E1rio que inclui c\u00F3digo a ser executado. Deseja execut\u00E1-lo?\n\n(Voc\u00EA deve pressionar Cancelar a n\u00E3o ser que voc\u00EA mesmo tenha criado o cookie.)",MathProcessingError:"Erro no processamento das f\u00F3rmulas",MathError:"Erro na f\u00F3rmula matem\u00E1tica",LoadFile:"Carregando %1",Loading:"Carregando",LoadFailed:"O arquivo n\u00E3o pode ser carregado: %1",ProcessMath:"Processando f\u00F3rmula: %1%%",Processing:"Processando",TypesetMath:"Realizando a Diagrama\u00E7\u00E3o das F\u00F3rmulas: %1%%",Typesetting:"Realizando a Diagrama\u00E7\u00E3o",MathJaxNotSupported:"Seu navegador n\u00E3o suporta MathJax",ErrorTips:"Dicas de depura\u00E7\u00E3o: use %%1, para inspecionar %%2 no console do navegador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt-br/pt-br.js");
diff --git a/localization/pt/FontWarnings.js b/localization/pt/FontWarnings.js
index ef56f1dc71..572282d7b1 100644
--- a/localization/pt/FontWarnings.js
+++ b/localization/pt/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt/FontWarnings.js
+ *  /MathJax-v2/localization/pt/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"O MathJax est\u00E1 a utilizar fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. A sua descarga leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se instalasse as fontes para matem\u00E1tica diretamente no diret\u00F3rio de fontes do seu sistema.",imageFonts:"O MathJax est\u00E1 a utilizar fontes feitas com imagens em vez de fontes locais ou baseadas em web. Isso torna a renderiza\u00E7\u00E3o mais lenta do que o de costume, e as f\u00F3rmulas matem\u00E1ticas poder\u00E3o n\u00E3o ser impressas com a maior resolu\u00E7\u00E3o dispon\u00EDvel na sua impressora.",noFonts:"O MathJax n\u00E3o foi capaz de localizar uma fonte para utilizar ao renderizar as f\u00F3rmulas matem\u00E1ticas, e n\u00E3o est\u00E3o dispon\u00EDveis fontes feitas com imagens, ent\u00E3o ser\u00E3o utilizados caracteres Unicode gen\u00E9ricos com a esperan\u00E7a de que o seu navegador seja capaz de exibi-los. Alguns caracteres podem n\u00E3o aparecer como deveriam, ou simplesmente desaparecer.",webFonts:"A maioria dos navegadores modernos permite que as fontes sejam descarregadas a partir da web. Atualizar para uma vers\u00E3o mais recente do seu navegador (ou mudar de navegador) poderia melhorar a qualidade das f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina.",fonts:"O MathJax pode usar tanto [fontes STIX](%1) ou as [fontes MathJax TeX](%2). Descarregue e instale estas fontes para melhorar a sua experi\u00EAncia com o MathJax.",STIXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes STIX](%1). Descarregue e instale estas fontes para melhorar a sua experi\u00EAncia com o MathJax.",TeXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes MathJax TeX](%1). Descarregue e instale estas fontes para melhorar a sua experi\u00EAncia com o MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/FontWarnings.js");
+MathJax.Localization.addTranslation("pt","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"O MathJax est\u00E1 a utilizar fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. A sua descarga leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se instalasse as fontes para matem\u00E1tica diretamente no diret\u00F3rio de fontes do seu sistema.",imageFonts:"O MathJax est\u00E1 a utilizar fontes feitas com imagens em vez de fontes locais ou baseadas em web. Isso torna a renderiza\u00E7\u00E3o mais lenta do que o de costume, e as f\u00F3rmulas matem\u00E1ticas poder\u00E3o n\u00E3o ser impressas com a maior resolu\u00E7\u00E3o dispon\u00EDvel na sua impressora.",noFonts:"O MathJax n\u00E3o foi capaz de localizar uma fonte para utilizar ao renderizar as f\u00F3rmulas matem\u00E1ticas, e n\u00E3o est\u00E3o dispon\u00EDveis fontes feitas com imagens, ent\u00E3o ser\u00E3o utilizados caracteres Unicode gen\u00E9ricos com a esperan\u00E7a de que o seu navegador seja capaz de exibi-los. Alguns caracteres podem n\u00E3o aparecer como deveriam, ou simplesmente desaparecer.",webFonts:"A maioria dos navegadores modernos permite que as fontes sejam descarregadas a partir da web. Atualizar para uma vers\u00E3o mais recente do seu navegador (ou mudar de navegador) poderia melhorar a qualidade das f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina.",fonts:"O MathJax pode usar tanto [fontes STIX](%1) ou as [fontes MathJax TeX](%2). Descarregue e instale estas fontes para melhorar a sua experi\u00EAncia com o MathJax.",STIXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes STIX](%1). Descarregue e instale estas fontes para melhorar a sua experi\u00EAncia com o MathJax.",TeXPage:"Esta p\u00E1gina foi projetada para utilizar [fontes MathJax TeX](%1). Descarregue e instale estas fontes para melhorar a sua experi\u00EAncia com o MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/FontWarnings.js");
diff --git a/localization/pt/HTML-CSS.js b/localization/pt/HTML-CSS.js
index b238a53da4..07e71a8ef5 100644
--- a/localization/pt/HTML-CSS.js
+++ b/localization/pt/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt/HTML-CSS.js
+ *  /MathJax-v2/localization/pt/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"A carregar fonte baseada em web %1",CantLoadWebFont:"N\u00E3o foi poss\u00EDvel carregar a fonte baseada em web %1",FirefoxCantLoadWebFont:"O Firefox n\u00E3o pode carregar fontes baseadas em web a partir de um servidor remoto",CantFindFontUsing:"N\u00E3o \u00E9 poss\u00EDvel encontrar uma fonte v\u00E1lida usando %1",WebFontsNotAvailable:"Fontes baseadas em web n\u00E3o est\u00E3o dispon\u00EDveis -- a usar fontes feitas com imagens em vez disso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/HTML-CSS.js");
+MathJax.Localization.addTranslation("pt","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"A carregar fonte baseada em web %1",CantLoadWebFont:"N\u00E3o foi poss\u00EDvel carregar a fonte baseada em web %1",FirefoxCantLoadWebFont:"O Firefox n\u00E3o pode carregar fontes baseadas em web a partir de um servidor remoto",CantFindFontUsing:"N\u00E3o \u00E9 poss\u00EDvel encontrar uma fonte v\u00E1lida usando %1",WebFontsNotAvailable:"Fontes baseadas em web n\u00E3o est\u00E3o dispon\u00EDveis -- a usar fontes feitas com imagens em vez disso"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/HTML-CSS.js");
diff --git a/localization/pt/HelpDialog.js b/localization/pt/HelpDialog.js
index f837fdbcdd..3b5e540eb8 100644
--- a/localization/pt/HelpDialog.js
+++ b/localization/pt/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt/HelpDialog.js
+ *  /MathJax-v2/localization/pt/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Ajuda do MathJax",MathJax:"*MathJax* \u00E9 uma biblioteca em JavaScript que permite aos autores a inclus\u00E3o de conte\u00FAdo matem\u00E1tico em suas p\u00E1ginas web. Como um renderizador, voc\u00EA n\u00E3o precisa fazer qualquer coisa para que isso ocorra.",Browsers:"*Navegadores*: O MathJax funciona em todos os navegadores modernos incluindo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e a maioria dos navegadores para dispositivos m\u00F3veis.",Menu:"*Menu de F\u00F3rmulas*: O MathJax acrescenta um menu de contexto \u00E0s equa\u00E7\u00F5es. Clique com o bot\u00E3o direito ou pressione CTRL ao clicar em qualquer f\u00F3rmula matem\u00E1tica para aceder ao menu.",ShowMath:"*Mostrar f\u00F3rmulas como* permite que visualize o c\u00F3digo da f\u00F3rmula para copiar e colar (como MathML ou no seu formato original).",Settings:"*Configura\u00E7\u00F5es* oferecem o controle sobre os recursos do MathJax, tais como o tamanho das f\u00F3rmulas, e o mecanismo utilizado para exibir equa\u00E7\u00F5es.",Language:"*Idioma* permite que escolha o idioma que o MathJax utiliza nos seus menus e mensagens de aviso.",Zoom:"*Zoom nas F\u00F3rmulas*: Se voc\u00EA tem dificuldade para ler uma equa\u00E7\u00E3o, o MathJax pode ampli\u00E1-la para ajud\u00E1-lo a visualiz\u00E1-la melhor.",Accessibilty:"*Acessibilidade*: O MathJax funcionar\u00E1 automaticamente em leitores de ecr\u00E3 para tornar as f\u00F3rmulas matem\u00E1ticas acess\u00EDveis aos que possuem problemas de vis\u00E3o.",Fonts:"*Fontes*: O MathJax utilizar\u00E1 certas fontes para f\u00F3rmulas matem\u00E1ticas se elas estiverem instaladas no seu computador; caso contr\u00E1rio, ele utilizar\u00E1 fontes baseadas em web. Embora n\u00E3o seja obrigat\u00F3rio, o uso de fontes instaladas localmente acelerar\u00E1 a diagrama\u00E7\u00E3o. Sugerimos que instale [fontes STIX](%1).",CloseDialog:"Fechar caixa de ajuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/HelpDialog.js");
+MathJax.Localization.addTranslation("pt","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Ajuda do MathJax",MathJax:"*MathJax* \u00E9 uma biblioteca em JavaScript que permite aos autores a inclus\u00E3o de conte\u00FAdo matem\u00E1tico em suas p\u00E1ginas web. Como um renderizador, voc\u00EA n\u00E3o precisa fazer qualquer coisa para que isso ocorra.",Browsers:"*Navegadores*: O MathJax funciona em todos os navegadores modernos incluindo IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e a maioria dos navegadores para dispositivos m\u00F3veis.",Menu:"*Menu de F\u00F3rmulas*: O MathJax acrescenta um menu de contexto \u00E0s equa\u00E7\u00F5es. Clique com o bot\u00E3o direito ou pressione CTRL ao clicar em qualquer f\u00F3rmula matem\u00E1tica para aceder ao menu.",ShowMath:"*Mostrar f\u00F3rmulas como* permite que visualize o c\u00F3digo da f\u00F3rmula para copiar e colar (como MathML ou no seu formato original).",Settings:"*Configura\u00E7\u00F5es* oferecem o controle sobre os recursos do MathJax, tais como o tamanho das f\u00F3rmulas, e o mecanismo utilizado para exibir equa\u00E7\u00F5es.",Language:"*Idioma* permite que escolha o idioma que o MathJax utiliza nos seus menus e mensagens de aviso.",Zoom:"*Zoom nas F\u00F3rmulas*: Se voc\u00EA tem dificuldade para ler uma equa\u00E7\u00E3o, o MathJax pode ampli\u00E1-la para ajud\u00E1-lo a visualiz\u00E1-la melhor.",Accessibilty:"*Acessibilidade*: O MathJax funcionar\u00E1 automaticamente em leitores de ecr\u00E3 para tornar as f\u00F3rmulas matem\u00E1ticas acess\u00EDveis aos que possuem problemas de vis\u00E3o.",Fonts:"*Fontes*: O MathJax utilizar\u00E1 certas fontes para f\u00F3rmulas matem\u00E1ticas se elas estiverem instaladas no seu computador; caso contr\u00E1rio, ele utilizar\u00E1 fontes baseadas em web. Embora n\u00E3o seja obrigat\u00F3rio, o uso de fontes instaladas localmente acelerar\u00E1 a diagrama\u00E7\u00E3o. Sugerimos que instale [fontes STIX](%1).",CloseDialog:"Fechar caixa de ajuda"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/HelpDialog.js");
diff --git a/localization/pt/MathML.js b/localization/pt/MathML.js
index 8d778b3820..a4ebbad63a 100644
--- a/localization/pt/MathML.js
+++ b/localization/pt/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt/MathML.js
+ *  /MathJax-v2/localization/pt/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Mglyph ruim: %1",BadMglyphFont:"Fonte ruim: %1",MathPlayer:"O MathJax n\u00E3o foi capaz de configurar o MathPlayer.\n\nSe o MathPlayer n\u00E3o estiver instalado, precisar\u00E1 instal\u00E1-lo primeiro.\nCaso contr\u00E1rio, suas configura\u00E7\u00F5es de seguran\u00E7a podem estar prevenindo a execu\u00E7\u00E3o\nde controles ActiveX.  Use as Op\u00E7\u00F5es de Internet sob\no menu Ferramentas e selecione a aba de Seguran\u00E7a ent\u00E3o pressione o bot\u00E3o N\u00EDvel Personalizado. Confira se as configura\u00E7\u00F5es para 'Execu\u00E7\u00E3o de Controles ActiveX', e 'Comportamento de scripts e c\u00F3digos bin\u00E1rios'\nest\u00E3o ativadas.\n\nAtualmente, ver\u00E1 mensagens de erro em vez da \ndiagrama\u00E7\u00E3o das f\u00F3rmulas matem\u00E1ticas.",CantCreateXMLParser:"O MathJax n\u00E3o pode criar um interpretador de XML para o MathML.  Confira se\na configura\u00E7\u00E3o de seguran\u00E7a 'Controles de Script ActiveX marcados como seguros para scripting'\nest\u00E1 habilitado (use as Op\u00E7\u00F5es de Internet no menu \nFerramentas, e selecione o painel de Seguran\u00E7a, depois pressione o bot\u00E3o N\u00EDvel Personalizado\npara conferir isso).\n\nAs equa\u00E7\u00F5es em MathML n\u00E3o poder\u00E3o ser processadas pelo MathJax.",UnknownNodeType:"Tipo de n\u00F3 desconhecido: %1",UnexpectedTextNode:"N\u00F3 de texto inesperado: %1",ErrorParsingMathML:"Erro ao processar MathML",ParsingError:"Erro ao processar MathML: %1",MathMLSingleElement:"MathML deve ser formado por um \u00FAnico elemento",MathMLRootElement:"MathML deve ser formado por um elemento \u003Cmath\u003E, n\u00E3o %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/MathML.js");
+MathJax.Localization.addTranslation("pt","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"Mglyph ruim: %1",BadMglyphFont:"Fonte ruim: %1",MathPlayer:"O MathJax n\u00E3o foi capaz de configurar o MathPlayer.\n\nSe o MathPlayer n\u00E3o estiver instalado, precisar\u00E1 instal\u00E1-lo primeiro.\nCaso contr\u00E1rio, suas configura\u00E7\u00F5es de seguran\u00E7a podem estar prevenindo a execu\u00E7\u00E3o\nde controles ActiveX.  Use as Op\u00E7\u00F5es de Internet sob\no menu Ferramentas e selecione a aba de Seguran\u00E7a ent\u00E3o pressione o bot\u00E3o N\u00EDvel Personalizado. Confira se as configura\u00E7\u00F5es para 'Execu\u00E7\u00E3o de Controles ActiveX', e 'Comportamento de scripts e c\u00F3digos bin\u00E1rios'\nest\u00E3o ativadas.\n\nAtualmente, ver\u00E1 mensagens de erro em vez da \ndiagrama\u00E7\u00E3o das f\u00F3rmulas matem\u00E1ticas.",CantCreateXMLParser:"O MathJax n\u00E3o pode criar um interpretador de XML para o MathML.  Confira se\na configura\u00E7\u00E3o de seguran\u00E7a 'Controles de Script ActiveX marcados como seguros para scripting'\nest\u00E1 habilitado (use as Op\u00E7\u00F5es de Internet no menu \nFerramentas, e selecione o painel de Seguran\u00E7a, depois pressione o bot\u00E3o N\u00EDvel Personalizado\npara conferir isso).\n\nAs equa\u00E7\u00F5es em MathML n\u00E3o poder\u00E3o ser processadas pelo MathJax.",UnknownNodeType:"Tipo de n\u00F3 desconhecido: %1",UnexpectedTextNode:"N\u00F3 de texto inesperado: %1",ErrorParsingMathML:"Erro ao processar MathML",ParsingError:"Erro ao processar MathML: %1",MathMLSingleElement:"MathML deve ser formado por um \u00FAnico elemento",MathMLRootElement:"MathML deve ser formado por um elemento \u003Cmath\u003E, n\u00E3o %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/MathML.js");
diff --git a/localization/pt/MathMenu.js b/localization/pt/MathMenu.js
index 6db99a7b49..5c3e490111 100644
--- a/localization/pt/MathMenu.js
+++ b/localization/pt/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt/MathMenu.js
+ *  /MathJax-v2/localization/pt/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Mostrar f\u00F3rmulas como",MathMLcode:"C\u00F3digo MathML",OriginalMathML:"MathML original",TeXCommands:"Comandos TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Formato original",ErrorMessage:"Mensagem de erro",Annotation:"Anota\u00E7\u00E3o",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML do conte\u00FAdo",OpenMath:"OpenMath",texHints:"Mostrar dicas de TeX em MathML",Settings:"Configura\u00E7\u00F5es das f\u00F3rmulas",ZoomTrigger:"Ativador do zoom",Hover:"Passar o rato",Click:"Clique",DoubleClick:"Duplo clique",NoZoom:"Sem zoom",TriggerRequires:"O ativador requer:",Option:"Op\u00E7\u00E3o",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"Shift",ZoomFactor:"Fator de zoom",Renderer:"Renderizador matem\u00E1tico",MPHandles:"Deixe que o MathPlayer resolva:",MenuEvents:"Eventos de menu",MouseEvents:"Eventos do rato",MenuAndMouse:"Eventos do rato e de menu",FontPrefs:"Prefer\u00EAncias de fontes",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagem)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu de contexto",Browser:"Navegador",Scale:"Redimensionar todas as f\u00F3rmulas ...",Discoverable:"Destacar ao passar com o rato",Locale:"L\u00EDngua",LoadLocale:"Carregar a partir de URL ...",About:"Sobre o MathJax",Help:"Ajuda do MathJax",localTeXfonts:"a usar fontes TeX locais",webTeXfonts:"a usar fontes TeX da web",imagefonts:"a usar fontes feitas com imagens",localSTIXfonts:"a usar fontes STIX",webSVGfonts:"a usar fontes SVG da web",genericfonts:"a usar fontes unicode gen\u00E9ricas",wofforotffonts:"fontes WOFF ou OTF",eotffonts:"fontes EOT",svgfonts:"fontes SVG",WebkitNativeMMLWarning:"N\u00E3o parece haver suporte nativo ao MathML no seu navegador, ent\u00E3o a mudan\u00E7a para MathML pode tornar ileg\u00EDveis as f\u00F3rmulas matem\u00E1ticas da p\u00E1gina.",MSIENativeMMLWarning:"O Internet Explorer requer o plugin MathPlayer para processar MathML.",OperaNativeMMLWarning:"O suporte ao MathML no Opera \u00E9 limitado, ent\u00E3o a mudan\u00E7a para MathML pode piorar a renderiza\u00E7\u00E3o de algumas express\u00F5es.",SafariNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",FirefoxNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",MSIESVGWarning:"N\u00E3o h\u00E1 uma implementa\u00E7\u00E3o de SVG nas vers\u00F5es do Internet Explorer anteriores ao IE9 ou quando ele est\u00E1 emulando o IE8 ou as vers\u00F5es anteriores. A mudan\u00E7a para SVG far\u00E1 com que as f\u00F3rmulas n\u00E3o sejam exibidas adequadamente.",LoadURL:"Carregar os dados de tradu\u00E7\u00E3o a partir desta URL:",BadURL:"A URL deve ser para um um ficheiro de JavaScript que defina os dados de tradu\u00E7\u00E3o do MathJax. Os nomes dos ficheiros de Javascript devem terminar com '.js'",BadData:"Falha ao carregar os dados de tradu\u00E7\u00E3o de %1",SwitchAnyway:"Mudar para este renderizador mesmo assim?\n\n(Pressione OK para mudar, CANCELAR para continuar com o renderizador atual)",ScaleMath:"Redimensionar todas as f\u00F3rmulas matem\u00E1ticas (em rela\u00E7\u00E3o ao texto \u00E0 sua volta) em",NonZeroScale:"A escala n\u00E3o deve ser zero",PercentScale:"A escala deve ser uma percentagem (por exemplo, 120%%)",IE8warning:"Isto desabilitar\u00E1 o menu MathJax e os recursos de zoom, mas voc\u00EA poder\u00E1 usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.\n\nDeseja realmente alterar as configura\u00E7\u00F5es do MathPlayer?",IE9warning:"O menu de contexto do MathJax ser\u00E1 desabilitado, mas pode usar Alt-Clique numa express\u00E3o para obter o menu MathJax em vez disso.",NoOriginalForm:"Sem uma forma original dispon\u00EDvel",Close:"Fechar",EqSource:"C\u00F3digo de equa\u00E7\u00E3o MathJax",CloseAboutDialog:"Fechar caixa sobre MathJax",FastPreview:"Pr\u00E9-visualiza\u00E7\u00E3o r\u00E1pida",AssistiveMML:"MAthML assistiva",InTabOrder:"Incluir na ordem da guia"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/MathMenu.js");
+MathJax.Localization.addTranslation("pt","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Mostrar f\u00F3rmulas como",MathMLcode:"C\u00F3digo MathML",OriginalMathML:"MathML original",TeXCommands:"Comandos TeX",AsciiMathInput:"Entrada AsciiMathML",Original:"Formato original",ErrorMessage:"Mensagem de erro",Annotation:"Anota\u00E7\u00E3o",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML do conte\u00FAdo",OpenMath:"OpenMath",texHints:"Mostrar dicas de TeX em MathML",Settings:"Configura\u00E7\u00F5es das f\u00F3rmulas",ZoomTrigger:"Ativador do zoom",Hover:"Passar o rato",Click:"Clique",DoubleClick:"Duplo clique",NoZoom:"Sem zoom",TriggerRequires:"O ativador requer:",Option:"Op\u00E7\u00E3o",Alt:"Alt",Command:"Comando",Control:"Control",Shift:"Shift",ZoomFactor:"Fator de zoom",Renderer:"Renderizador matem\u00E1tico",MPHandles:"Deixe que o MathPlayer resolva:",MenuEvents:"Eventos de menu",MouseEvents:"Eventos do rato",MenuAndMouse:"Eventos do rato e de menu",FontPrefs:"Prefer\u00EAncias de fontes",ForHTMLCSS:"Para HTML-CSS:",Auto:"Autom\u00E1tico",TeXLocal:"TeX (local)",TeXWeb:"TeX (web)",TeXImage:"TeX (imagem)",STIXLocal:"STIX (local)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Menu de contexto",Browser:"Navegador",Scale:"Redimensionar todas as f\u00F3rmulas ...",Discoverable:"Destacar ao passar com o rato",Locale:"L\u00EDngua",LoadLocale:"Carregar a partir de URL ...",About:"Sobre o MathJax",Help:"Ajuda do MathJax",localTeXfonts:"a usar fontes TeX locais",webTeXfonts:"a usar fontes TeX da web",imagefonts:"a usar fontes feitas com imagens",localSTIXfonts:"a usar fontes STIX",webSVGfonts:"a usar fontes SVG da web",genericfonts:"a usar fontes unicode gen\u00E9ricas",wofforotffonts:"fontes WOFF ou OTF",eotffonts:"fontes EOT",svgfonts:"fontes SVG",WebkitNativeMMLWarning:"N\u00E3o parece haver suporte nativo ao MathML no seu navegador, ent\u00E3o a mudan\u00E7a para MathML pode tornar ileg\u00EDveis as f\u00F3rmulas matem\u00E1ticas da p\u00E1gina.",MSIENativeMMLWarning:"O Internet Explorer requer o plugin MathPlayer para processar MathML.",OperaNativeMMLWarning:"O suporte ao MathML no Opera \u00E9 limitado, ent\u00E3o a mudan\u00E7a para MathML pode piorar a renderiza\u00E7\u00E3o de algumas express\u00F5es.",SafariNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",FirefoxNativeMMLWarning:"O suporte ao MathML nativo do seu navegador n\u00E3o implementa todos os recursos usados pelo MathJax, ent\u00E3o algumas express\u00F5es podem n\u00E3o ser exibidas adequadamente.",MSIESVGWarning:"N\u00E3o h\u00E1 uma implementa\u00E7\u00E3o de SVG nas vers\u00F5es do Internet Explorer anteriores ao IE9 ou quando ele est\u00E1 emulando o IE8 ou as vers\u00F5es anteriores. A mudan\u00E7a para SVG far\u00E1 com que as f\u00F3rmulas n\u00E3o sejam exibidas adequadamente.",LoadURL:"Carregar os dados de tradu\u00E7\u00E3o a partir desta URL:",BadURL:"A URL deve ser para um um ficheiro de JavaScript que defina os dados de tradu\u00E7\u00E3o do MathJax. Os nomes dos ficheiros de Javascript devem terminar com '.js'",BadData:"Falha ao carregar os dados de tradu\u00E7\u00E3o de %1",SwitchAnyway:"Mudar para este renderizador mesmo assim?\n\n(Pressione OK para mudar, CANCELAR para continuar com o renderizador atual)",ScaleMath:"Redimensionar todas as f\u00F3rmulas matem\u00E1ticas (em rela\u00E7\u00E3o ao texto \u00E0 sua volta) em",NonZeroScale:"A escala n\u00E3o deve ser zero",PercentScale:"A escala deve ser uma percentagem (por exemplo, 120%%)",IE8warning:"Isto desabilitar\u00E1 o menu MathJax e os recursos de zoom, mas voc\u00EA poder\u00E1 usar Alt-Clique em uma express\u00E3o para obter o menu MathJax em vez disso.\n\nDeseja realmente alterar as configura\u00E7\u00F5es do MathPlayer?",IE9warning:"O menu de contexto do MathJax ser\u00E1 desabilitado, mas pode usar Alt-Clique numa express\u00E3o para obter o menu MathJax em vez disso.",NoOriginalForm:"Sem uma forma original dispon\u00EDvel",Close:"Fechar",EqSource:"C\u00F3digo de equa\u00E7\u00E3o MathJax",CloseAboutDialog:"Fechar caixa sobre MathJax",FastPreview:"Pr\u00E9-visualiza\u00E7\u00E3o r\u00E1pida",AssistiveMML:"MAthML assistiva",InTabOrder:"Incluir na ordem da guia"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/MathMenu.js");
diff --git a/localization/pt/TeX.js b/localization/pt/TeX.js
index 1c25b42abc..2ea625db13 100644
--- a/localization/pt/TeX.js
+++ b/localization/pt/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt/TeX.js
+ *  /MathJax-v2/localization/pt/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Chaveta de abertura a mais ou chaveta de fecho a menos",ExtraCloseMissingOpen:"Chaveta de fecho a mais ou chaveta de abertura a menos",MissingLeftExtraRight:"Falta um \\left ou h\u00E1 um \\right a mais",MissingScript:"Falta o valor de um sobrescrito ou de um subscrito",ExtraLeftMissingRight:"Falta um \\right ou h\u00E1 um \\left a mais",Misplaced:"%1 fora do lugar",MissingOpenForSub:"Falta a chaveta de abertura para o subscrito",MissingOpenForSup:"Falta a chaveta de abertura para o sobrescrito",AmbiguousUseOf:"Uso amb\u00EDguo de %1",EnvBadEnd:"\\begin{%1} foi terminado com \\end{%2}",EnvMissingEnd:"\\end{%1} em falta",MissingBoxFor:"Falta uma caixa para %1",MissingCloseBrace:"Falta chaveta de fecho",UndefinedControlSequence:"Sequ\u00EAncia de controlo indefinida %1",DoubleExponent:"Expoente duplo: use chavetas para clarificar",DoubleSubscripts:"Subscrito duplo: use chavetas para clarificar",DoubleExponentPrime:"\u00C9 amb\u00EDguo a que diz respeito a plica (\u2032): use chavetas para clarificar",CantUseHash1:"N\u00E3o pode usar o car\u00E1cter # que indica um par\u00E2metro de macro no modo matem\u00E1tico",MisplacedMiddle:"%1 deve estar entre \\left e \\right",MisplacedLimits:"%1 s\u00F3 \u00E9 permitido em operadores",MisplacedMoveRoot:"%1 s\u00F3 pode ser usado dentro de uma raiz",MultipleCommand:"Repeti\u00E7\u00E3o de %1",IntegerArg:"O argumento de %1 deve ser um inteiro",NotMathMLToken:"%1 n\u00E3o \u00E9 um elemento de chave",InvalidMathMLAttr:"Atributo MathML inv\u00E1lido: %1",UnknownAttrForElement:"%1 n\u00E3o \u00E9 um atributo reconhecido para %2",MaxMacroSub1:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es de macros do MathJax; h\u00E1 alguma chamada a uma macro recursiva?",MaxMacroSub2:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es do MathJax; h\u00E1 algum ambiente LaTeX recursivo?",MissingArgFor:"Falta um argumento para %1",ExtraAlignTab:"H\u00E1 um tab de alinhamento a mais no texto de \\cases",BracketMustBeDimension:"O argumento nos par\u00EAnteses retos de %1 deve ser uma dimens\u00E3o",InvalidEnv:"Nome de ambiente inv\u00E1lido: '%1'",UnknownEnv:"Ambiente desconhecido: '%1'",ExtraCloseLooking:"Encontrada uma chaveta de fecho ao procurar por %1",MissingCloseBracket:"N\u00E3o foi encontrado um ']' de fecho para o argumento de %1",MissingOrUnrecognizedDelim:"O delimitador para %1 est\u00E1 em falta ou n\u00E3o foi reconhecido",MissingDimOrUnits:"Falta a dimens\u00E3o ou a unidade de %1",TokenNotFoundForCommand:"N\u00E3o foi encontrado %1 para %2",MathNotTerminated:"A f\u00F3rmula n\u00E3o foi terminada na caixa de texto",IllegalMacroParam:"Refer\u00EAncia inv\u00E1lida a um par\u00E2metro de macro",MaxBufferSize:"O tamanho do buffer interno do MathJax foi excedido; h\u00E1 alguma chamada a uma macro recursiva?",CommandNotAllowedInEnv:"%1 n\u00E3o \u00E9 permitido no ambiente %2",MultipleLabel:"O r\u00F3tulo '%1' foi definido mais que uma vez",CommandAtTheBeginingOfLine:"%1 deve vir no in\u00EDcio da linha",IllegalAlign:"Foi especificado um alinhamento ilegal em %1",BadMathStyleFor:"Estilo de f\u00F3rmula inv\u00E1lido para %1",PositiveIntegerArg:"O argumento para %1 deve ser um inteiro positivo",ErroneousNestingEq:"Aninhamento incorreto de estruturas de equa\u00E7\u00F5es",MultlineRowsOneCol:"As linhas do ambiente %1 devem ter apenas uma coluna",MultipleBBoxProperty:"%1 foi especificado duas vezes em %2",InvalidBBoxProperty:"'%1' n\u00E3o parece ser uma cor, uma dimens\u00E3o de espa\u00E7amento, nem um estilo",ExtraEndMissingBegin:"H\u00E1 um %1 a mais ou um \\begingroup a menos",GlobalNotFollowedBy:"%1 n\u00E3o foi seguido por um \\let, \\def, ou \\newcommand",UndefinedColorModel:"O modelo de cores '%1' n\u00E3o foi definido",ModelArg1:"O modelo %1 requer 3 n\u00FAmeros para valores de cor",InvalidDecimalNumber:"N\u00FAmero decimal inv\u00E1lido",ModelArg2:"Os valores de cor para o modelo %1 devem estar entre %2 e %3",InvalidNumber:"N\u00FAmero inv\u00E1lido",NewextarrowArg1:"O primeiro argumento de %1 deve ser o nome de uma sequ\u00EAncia de controlo",NewextarrowArg2:"O segundo argumento de %1 deve ser composto por dois inteiros separados por uma v\u00EDrgula",NewextarrowArg3:"O terceiro argumento de %1 deve ser o c\u00F3digo Unicode de um caractere",NoClosingChar:"N\u00E3o foi poss\u00EDvel encontrar um %1 de fecho",IllegalControlSequenceName:"O nome da sequ\u00EAncia de controlo para %1 \u00E9 inv\u00E1lido",IllegalParamNumber:"N\u00FAmero inv\u00E1lido de par\u00E2metros especificado em %1",MissingCS:"%1 deve ser seguido por uma sequ\u00EAncia de controlo",CantUseHash2:"Uso ilegal de # em modelo para %1",SequentialParam:"Os par\u00E2metros para %1 devem ser numerados sequencialmente",MissingReplacementString:"Falta a string de substitui\u00E7\u00E3o para a defini\u00E7\u00E3o de %1",MismatchUseDef:"O uso de %1 n\u00E3o condiz com sua defini\u00E7\u00E3o",RunawayArgument:"Argumento em excesso para %1?",NoClosingDelim:"N\u00E3o foi encontrado um delimitador de fecho para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/TeX.js");
+MathJax.Localization.addTranslation("pt","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Chaveta de abertura a mais ou chaveta de fecho a menos",ExtraCloseMissingOpen:"Chaveta de fecho a mais ou chaveta de abertura a menos",MissingLeftExtraRight:"Falta um \\left ou h\u00E1 um \\right a mais",MissingScript:"Falta o valor de um sobrescrito ou de um subscrito",ExtraLeftMissingRight:"Falta um \\right ou h\u00E1 um \\left a mais",Misplaced:"%1 fora do lugar",MissingOpenForSub:"Falta a chaveta de abertura para o subscrito",MissingOpenForSup:"Falta a chaveta de abertura para o sobrescrito",AmbiguousUseOf:"Uso amb\u00EDguo de %1",EnvBadEnd:"\\begin{%1} foi terminado com \\end{%2}",EnvMissingEnd:"\\end{%1} em falta",MissingBoxFor:"Falta uma caixa para %1",MissingCloseBrace:"Falta chaveta de fecho",UndefinedControlSequence:"Sequ\u00EAncia de controlo indefinida %1",DoubleExponent:"Expoente duplo: use chavetas para clarificar",DoubleSubscripts:"Subscrito duplo: use chavetas para clarificar",DoubleExponentPrime:"\u00C9 amb\u00EDguo a que diz respeito a plica (\u2032): use chavetas para clarificar",CantUseHash1:"N\u00E3o pode usar o car\u00E1cter # que indica um par\u00E2metro de macro no modo matem\u00E1tico",MisplacedMiddle:"%1 deve estar entre \\left e \\right",MisplacedLimits:"%1 s\u00F3 \u00E9 permitido em operadores",MisplacedMoveRoot:"%1 s\u00F3 pode ser usado dentro de uma raiz",MultipleCommand:"Repeti\u00E7\u00E3o de %1",IntegerArg:"O argumento de %1 deve ser um inteiro",NotMathMLToken:"%1 n\u00E3o \u00E9 um elemento de chave",InvalidMathMLAttr:"Atributo MathML inv\u00E1lido: %1",UnknownAttrForElement:"%1 n\u00E3o \u00E9 um atributo reconhecido para %2",MaxMacroSub1:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es de macros do MathJax; h\u00E1 alguma chamada a uma macro recursiva?",MaxMacroSub2:"Foi excedido o m\u00E1ximo de substitui\u00E7\u00F5es do MathJax; h\u00E1 algum ambiente LaTeX recursivo?",MissingArgFor:"Falta um argumento para %1",ExtraAlignTab:"H\u00E1 um tab de alinhamento a mais no texto de \\cases",BracketMustBeDimension:"O argumento nos par\u00EAnteses retos de %1 deve ser uma dimens\u00E3o",InvalidEnv:"Nome de ambiente inv\u00E1lido: '%1'",UnknownEnv:"Ambiente desconhecido: '%1'",ExtraCloseLooking:"Encontrada uma chaveta de fecho ao procurar por %1",MissingCloseBracket:"N\u00E3o foi encontrado um ']' de fecho para o argumento de %1",MissingOrUnrecognizedDelim:"O delimitador para %1 est\u00E1 em falta ou n\u00E3o foi reconhecido",MissingDimOrUnits:"Falta a dimens\u00E3o ou a unidade de %1",TokenNotFoundForCommand:"N\u00E3o foi encontrado %1 para %2",MathNotTerminated:"A f\u00F3rmula n\u00E3o foi terminada na caixa de texto",IllegalMacroParam:"Refer\u00EAncia inv\u00E1lida a um par\u00E2metro de macro",MaxBufferSize:"O tamanho do buffer interno do MathJax foi excedido; h\u00E1 alguma chamada a uma macro recursiva?",CommandNotAllowedInEnv:"%1 n\u00E3o \u00E9 permitido no ambiente %2",MultipleLabel:"O r\u00F3tulo '%1' foi definido mais que uma vez",CommandAtTheBeginingOfLine:"%1 deve vir no in\u00EDcio da linha",IllegalAlign:"Foi especificado um alinhamento ilegal em %1",BadMathStyleFor:"Estilo de f\u00F3rmula inv\u00E1lido para %1",PositiveIntegerArg:"O argumento para %1 deve ser um inteiro positivo",ErroneousNestingEq:"Aninhamento incorreto de estruturas de equa\u00E7\u00F5es",MultlineRowsOneCol:"As linhas do ambiente %1 devem ter apenas uma coluna",MultipleBBoxProperty:"%1 foi especificado duas vezes em %2",InvalidBBoxProperty:"'%1' n\u00E3o parece ser uma cor, uma dimens\u00E3o de espa\u00E7amento, nem um estilo",ExtraEndMissingBegin:"H\u00E1 um %1 a mais ou um \\begingroup a menos",GlobalNotFollowedBy:"%1 n\u00E3o foi seguido por um \\let, \\def, ou \\newcommand",UndefinedColorModel:"O modelo de cores '%1' n\u00E3o foi definido",ModelArg1:"O modelo %1 requer 3 n\u00FAmeros para valores de cor",InvalidDecimalNumber:"N\u00FAmero decimal inv\u00E1lido",ModelArg2:"Os valores de cor para o modelo %1 devem estar entre %2 e %3",InvalidNumber:"N\u00FAmero inv\u00E1lido",NewextarrowArg1:"O primeiro argumento de %1 deve ser o nome de uma sequ\u00EAncia de controlo",NewextarrowArg2:"O segundo argumento de %1 deve ser composto por dois inteiros separados por uma v\u00EDrgula",NewextarrowArg3:"O terceiro argumento de %1 deve ser o c\u00F3digo Unicode de um caractere",NoClosingChar:"N\u00E3o foi poss\u00EDvel encontrar um %1 de fecho",IllegalControlSequenceName:"O nome da sequ\u00EAncia de controlo para %1 \u00E9 inv\u00E1lido",IllegalParamNumber:"N\u00FAmero inv\u00E1lido de par\u00E2metros especificado em %1",MissingCS:"%1 deve ser seguido por uma sequ\u00EAncia de controlo",CantUseHash2:"Uso ilegal de # em modelo para %1",SequentialParam:"Os par\u00E2metros para %1 devem ser numerados sequencialmente",MissingReplacementString:"Falta a string de substitui\u00E7\u00E3o para a defini\u00E7\u00E3o de %1",MismatchUseDef:"O uso de %1 n\u00E3o condiz com sua defini\u00E7\u00E3o",RunawayArgument:"Argumento em excesso para %1?",NoClosingDelim:"N\u00E3o foi encontrado um delimitador de fecho para %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/TeX.js");
diff --git a/localization/pt/pt.js b/localization/pt/pt.js
index 8c16ac34f1..a2881da533 100644
--- a/localization/pt/pt.js
+++ b/localization/pt/pt.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/pt/pt.js
+ *  /MathJax-v2/localization/pt/pt.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("pt",null,{menuTitle:"portugu\u00EAs",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Erro no processamento das f\u00F3rmulas",MathError:"Erro de matem\u00E1tica",LoadFile:"A carregar %1",Loading:"A carregar",LoadFailed:"O ficheiro n\u00E3o pode ser carregado: %1",ProcessMath:"A processar f\u00F3rmula: %1%%",Processing:"A processar",TypesetMath:"A formatar f\u00F3rmulas: %1%%",Typesetting:"A formatar",MathJaxNotSupported:"O seu navegador n\u00E3o suporta MathJax",ErrorTips:"Dicas de depura\u00E7\u00E3o: use %%1, para inspecionar %%2 no console do navegador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/pt.js");
+MathJax.Localization.addTranslation("pt",null,{menuTitle:"portugu\u00EAs",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"Erro no processamento das f\u00F3rmulas",MathError:"Erro de matem\u00E1tica",LoadFile:"A carregar %1",Loading:"A carregar",LoadFailed:"O ficheiro n\u00E3o pode ser carregado: %1",ProcessMath:"A processar f\u00F3rmula: %1%%",Processing:"A processar",TypesetMath:"A formatar f\u00F3rmulas: %1%%",Typesetting:"A formatar",MathJaxNotSupported:"O seu navegador n\u00E3o suporta MathJax",ErrorTips:"Dicas de depura\u00E7\u00E3o: use %%1, para inspecionar %%2 no console do navegador"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/pt/pt.js");
diff --git a/localization/qqq/FontWarnings.js b/localization/qqq/FontWarnings.js
index d6e9f5043a..e4af4a2868 100644
--- a/localization/qqq/FontWarnings.js
+++ b/localization/qqq/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/qqq/FontWarnings.js
+ *  /MathJax-v2/localization/qqq/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"This warning is displayed by the FontWarnings extension when web-based fonts are used.",imageFonts:"This warning is displayed by the FontWarnings extension when image fonts are used.",noFonts:"This warning is displayed by the FontWarnings extension when no fonts can be used.",webFonts:"This warning is displayed by the FontWarnings extension when the browser do not support web fonts",fonts:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains both STIX and TeX.\n\nParameters:\n* %1 - URL\n* %2 - URL\nSee also:\n* {{msg-mathjax|Fontwarnings-TeXPage}}",STIXPage:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains only STIX.\n\nParameters:\n* %1 - URL",TeXPage:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains only TeX.\n\nParameters:\n* %1 - URL\nSee also:\n* {{msg-mathjax|Fontwarnings-fonts}}"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/FontWarnings.js");
+MathJax.Localization.addTranslation("qqq","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"This warning is displayed by the FontWarnings extension when web-based fonts are used.",imageFonts:"This warning is displayed by the FontWarnings extension when image fonts are used.",noFonts:"This warning is displayed by the FontWarnings extension when no fonts can be used.",webFonts:"This warning is displayed by the FontWarnings extension when the browser do not support web fonts",fonts:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains both STIX and TeX.\n\nParameters:\n* %1 - URL\n* %2 - URL\nSee also:\n* {{msg-mathjax|Fontwarnings-TeXPage}}",STIXPage:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains only STIX.\n\nParameters:\n* %1 - URL",TeXPage:"{{doc-markdown}}\nThis warning is displayed by the FontWarnings extension when the HTML-CSS availableFonts list contains only TeX.\n\nParameters:\n* %1 - URL\nSee also:\n* {{msg-mathjax|Fontwarnings-fonts}}"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/FontWarnings.js");
diff --git a/localization/qqq/HTML-CSS.js b/localization/qqq/HTML-CSS.js
index 04452bc57d..30e5cbe6f1 100644
--- a/localization/qqq/HTML-CSS.js
+++ b/localization/qqq/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/qqq/HTML-CSS.js
+ *  /MathJax-v2/localization/qqq/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output is loading a Web font.\n\nParameters:\n* %1 - the font name",CantLoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font. The first argument is the font name",FirefoxCantLoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font in Firefox",CantFindFontUsing:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font from a given list.\n\nParameters:\n* %1 - a list of fonts tried, comma-separated",WebFontsNotAvailable:"This is displayed in MathJax message box when the HTML-CSS fails to load Web fonts"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/HTML-CSS.js");
+MathJax.Localization.addTranslation("qqq","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output is loading a Web font.\n\nParameters:\n* %1 - the font name",CantLoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font. The first argument is the font name",FirefoxCantLoadWebFont:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font in Firefox",CantFindFontUsing:"This is displayed in MathJax message box when the HTML-CSS output fails to load a Web font from a given list.\n\nParameters:\n* %1 - a list of fonts tried, comma-separated",WebFontsNotAvailable:"This is displayed in MathJax message box when the HTML-CSS fails to load Web fonts"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/HTML-CSS.js");
diff --git a/localization/qqq/HelpDialog.js b/localization/qqq/HelpDialog.js
index 4b1e27a91b..904d909fb8 100644
--- a/localization/qqq/HelpDialog.js
+++ b/localization/qqq/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/qqq/HelpDialog.js
+ *  /MathJax-v2/localization/qqq/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"This is the title displayed at the top of the MathJax Help dialog.",MathJax:"First paragraph of the MathJax Help dialog.\n\nStars around 'MathJax' is the Markdown syntax to put it in emphasis.",Browsers:"Second paragraph of the MathJax Help dialog.\n\nStars around 'Browsers' is the Markdown syntax to put it in emphasis.",Menu:'Third paragraph of the MathJax Help dialog.\n\nStars around \'Math Menu\' the Markdown syntax to put it in emphasis.\n\n"CTRL" refers to "Ctrl key" ("Control key").',ShowMath:"First item of the the 'Math Menu' paragraph.\n\nStars around 'Show math as' is the Markdown syntax to put it in emphasis.\n\n'Show Math as' should be consistent with {{msg-mathjax|Mathmenu-Show}}.",Settings:"Second item of the the 'Math Menu' paragraph.\n\nStars around 'Settings' is the Markdown syntax to put it in emphasis.\n\n'Settings' should be consistent with {{msg-mathjax|Mathmenu-Settings}}.",Language:"Third item of the the 'Math Menu' paragraph.\n\nStars around 'Language' is the Markdown syntax to put it in emphasis.\n\n'Language' should be consistent with {{msg-mathjax|Mathmenu-Locale}}.",Zoom:"Fourth paragraph of the MathJax Help dialog.\n\nStars around 'Math Zoom' is the Markdown syntax to put it in emphasis.\n\n'Math Zoom' should be consistent with {{msg-mathjax|Mathmenu-ZoomTrigger}} and {{msg-mathjax|Mathmenu-ZoomFactor}}.",Accessibilty:"Fifth paragraph of the MathJax Help dialog.\n\nStars around 'Accessibility' is the Markdown syntax to put it in emphasis.",Fonts:"{{doc-markdown}}\nSixth paragraph of the MathJax Help dialog.\n\nStars around 'Fonts' is the Markdown syntax to put it in emphasis.\n\n\u003Ccode\u003E[STIX fonts](%1)\u003C/code\u003E is the Markdown syntax for links.\n\nParameters:\n* %1 - a URL the STIX fonts",CloseDialog:"Text alternative for the closing button of the 'MathJax Help' pop-up."}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/HelpDialog.js");
+MathJax.Localization.addTranslation("qqq","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"This is the title displayed at the top of the MathJax Help dialog.",MathJax:"First paragraph of the MathJax Help dialog.\n\nStars around 'MathJax' is the Markdown syntax to put it in emphasis.",Browsers:"Second paragraph of the MathJax Help dialog.\n\nStars around 'Browsers' is the Markdown syntax to put it in emphasis.",Menu:'Third paragraph of the MathJax Help dialog.\n\nStars around \'Math Menu\' the Markdown syntax to put it in emphasis.\n\n"CTRL" refers to "Ctrl key" ("Control key").',ShowMath:"First item of the the 'Math Menu' paragraph.\n\nStars around 'Show math as' is the Markdown syntax to put it in emphasis.\n\n'Show Math as' should be consistent with {{msg-mathjax|Mathmenu-Show}}.",Settings:"Second item of the the 'Math Menu' paragraph.\n\nStars around 'Settings' is the Markdown syntax to put it in emphasis.\n\n'Settings' should be consistent with {{msg-mathjax|Mathmenu-Settings}}.",Language:"Third item of the the 'Math Menu' paragraph.\n\nStars around 'Language' is the Markdown syntax to put it in emphasis.\n\n'Language' should be consistent with {{msg-mathjax|Mathmenu-Locale}}.",Zoom:"Fourth paragraph of the MathJax Help dialog.\n\nStars around 'Math Zoom' is the Markdown syntax to put it in emphasis.\n\n'Math Zoom' should be consistent with {{msg-mathjax|Mathmenu-ZoomTrigger}} and {{msg-mathjax|Mathmenu-ZoomFactor}}.",Accessibilty:"Fifth paragraph of the MathJax Help dialog.\n\nStars around 'Accessibility' is the Markdown syntax to put it in emphasis.",Fonts:"{{doc-markdown}}\nSixth paragraph of the MathJax Help dialog.\n\nStars around 'Fonts' is the Markdown syntax to put it in emphasis.\n\n\u003Ccode\u003E[STIX fonts](%1)\u003C/code\u003E is the Markdown syntax for links.\n\nParameters:\n* %1 - a URL the STIX fonts",CloseDialog:"Text alternative for the closing button of the 'MathJax Help' pop-up."}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/HelpDialog.js");
diff --git a/localization/qqq/MathML.js b/localization/qqq/MathML.js
index c0e2c68710..b87c6e40ff 100644
--- a/localization/qqq/MathML.js
+++ b/localization/qqq/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/qqq/MathML.js
+ *  /MathJax-v2/localization/qqq/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"This error is displayed when processing a MathML mglyph element with a bad URL. Parameters:\n* %1 - the value of the src attribute",BadMglyphFont:"Parameters:\n* %1 - font family",MathPlayer:"This alert is displayed when the Native MathML output Jax fails to set up MathPlayer. The instructions are IE specific.\n\nThe new line character is used to force new lines in the alert box.",CantCreateXMLParser:"This alert is displayed when the MathML input Jax fails to create an XML parser. The instructions are IE specific.\n\nThe new line character is used to force new lines in the alert box.",UnknownNodeType:"Used as error message. Parameters:\n* %1 - node type",UnexpectedTextNode:'Used as error message. Parameters:\n* %1 - text, enclosed in "\'"',ErrorParsingMathML:"This error is displayed when a MathML element fails to be parsed.\n\nIt can only be produced by old versions of Internet Explorer.",ParsingError:"This error is displayed when an XML parsing error happens.\n\nThe argument is the error returned by the XML parser.",MathMLSingleElement:"This error is displayed when a MathML input Jax contains more than one \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E root.\n\nIt can only be produced by very old browsers.",MathMLRootElement:"{{doc-important|Do not translate the \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E tag! It is a MathML tag.}}         \n\nThis error is displayed when a MathML input Jax contains a root other than \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E.\n\nParameters:\n* %1 - the root name"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/MathML.js");
+MathJax.Localization.addTranslation("qqq","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"This error is displayed when processing a MathML mglyph element with a bad URL. Parameters:\n* %1 - the value of the src attribute",BadMglyphFont:"Parameters:\n* %1 - font family",MathPlayer:"This alert is displayed when the Native MathML output Jax fails to set up MathPlayer. The instructions are IE specific.\n\nThe new line character is used to force new lines in the alert box.",CantCreateXMLParser:"This alert is displayed when the MathML input Jax fails to create an XML parser. The instructions are IE specific.\n\nThe new line character is used to force new lines in the alert box.",UnknownNodeType:"Used as error message. Parameters:\n* %1 - node type",UnexpectedTextNode:'Used as error message. Parameters:\n* %1 - text, enclosed in "\'"',ErrorParsingMathML:"This error is displayed when a MathML element fails to be parsed.\n\nIt can only be produced by old versions of Internet Explorer.",ParsingError:"This error is displayed when an XML parsing error happens.\n\nThe argument is the error returned by the XML parser.",MathMLSingleElement:"This error is displayed when a MathML input Jax contains more than one \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E root.\n\nIt can only be produced by very old browsers.",MathMLRootElement:"{{doc-important|Do not translate the \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E tag! It is a MathML tag.}}         \n\nThis error is displayed when a MathML input Jax contains a root other than \u003Ccode\u003E\u003Cnowiki\u003E\u003Cmath\u003E\u003C/nowiki\u003E\u003C/code\u003E.\n\nParameters:\n* %1 - the root name"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/MathML.js");
diff --git a/localization/qqq/MathMenu.js b/localization/qqq/MathMenu.js
index 5aab8aeb6f..3302357202 100644
--- a/localization/qqq/MathMenu.js
+++ b/localization/qqq/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/qqq/MathMenu.js
+ *  /MathJax-v2/localization/qqq/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"'Show math as' menu item. MathJax uses 'Math' as a distinct UI choice. Please translate it literally whenever possible.\n\nFollowed by the following menu subitems:\n* {{msg-mathjax|Mathmenu-MathMLcode}}\n* {{msg-mathjax|Mathmenu-Original}}\n* {{msg-mathjax|Mathmenu-Annotation}}\n* {{msg-mathjax|Mathmenu-texHints}} - checkbox label",MathMLcode:"This menu item from 'Show math as' shows the MathML code that MathJax has produced internally (sanitized, indented etc.)\n\nThe parent menu item is {{msg-mathjax|Mathmenu-Show}}.",OriginalMathML:"This menu item from 'Show math as' shows the MathML code as if that was originally in the page source",TeXCommands:"This menu item from 'Show math as' shows the TeX code if that was originally in the page source",AsciiMathInput:"This menu item from 'Show math as' shows the asciimath code if that was originally in the page source",Original:"This menu item from 'Show math as' shows the code that was originally in the page source but has no registered type.\n\nThis can happen when extensions add new input formats but fail to provide an adequate format name.\n\nThe parent menu item is {{msg-mathjax|Mathmenu-Show}}.\n{{Identical|Original form}}",ErrorMessage:"This menu item from 'Show math as' shows the error message if MathJax fails to process the source.\n{{Identical|Error message}}",Annotation:"This menu item from 'Show math as' allows to access possible annotations attached to a MathML formula.\n{{Identical|Annotation}}",TeX:"This is a menu item from the 'Annotation Menu' to show a TeX annotation.",StarMath:"This is a menu item from the 'Annotation Menu' to show a StarMath annotation (StarOffice, OpenOffice, LibreOffice).\n\nProgramming language used in MathJax.",Maple:"This is a menu item from the 'Annotation Menu' to show a Maple annotation.",ContentMathML:"This is a menu item from the 'Annotation Menu' to show a Content MathML annotation.\n\nThe MathML specification defines two versions: 'presentation' MathML (used in MathJax) and 'content' MathML (describes the semantics of the formula).",OpenMath:"This is a menu item from the 'Annotation Menu' to show the OpenMath annotation, an XML representation similar to Content MathML.",texHints:"This menu option from 'Show math as' adds comments to the code produced by 'MathMLCode'.\n\nUsed as checkbox label in the menu.",Settings:"'Math settings' menu item.",ZoomTrigger:"This menu from 'Math Settings' determines how MathJax's zoom is triggered.\n\nFollowed by the following menu items:\n* {{msg-mathjax|Mathmenu-Hover}}\n* {{msg-mathjax|Mathmenu-Click}}\n* {{msg-mathjax|Mathmenu-DoubleClick}}\n* {{msg-mathjax|Mathmenu-NoZoom}}\n* {{msg-mathjax|Mathmenu-TriggerRequires}} - label for the following checkboxes\n* {{msg-mathjax|Mathmenu-Option}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Alt}} - checkbox label, for Windows\n* {{msg-mathjax|Mathmenu-Command}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Control}} - checkbox label, for non-mac\n* {{msg-mathjax|Mathmenu-Shift}} - checkbox label",Hover:"This menu option from 'ZoomTrigger' indicates that the zoom is triggered when the mouse pass over a formula.",Click:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the zoom is triggered when one clicks on a formula.\n{{Identical|Click}}",DoubleClick:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the zoom is triggered when one double-clicks on a formula.",NoZoom:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the zoom is never triggered.",TriggerRequires:"This menu text from {{msg-mathjax|Mathmenu-ZoomTrigger}} describes if the ZoomTrigger requires additional keys.\n\nThe label is followed by the following menu items:\n* {{msg-mathjax|Mathmenu-Option}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Alt}} - checkbox label, for Windows\n* {{msg-mathjax|Mathmenu-Command}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Control}} - checkbox label, for non-Mac\n* {{msg-mathjax|Mathmenu-Shift}} - checkbox label",Option:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the OPTION key is needed (Apple-style).\n{{Identical|Options}}",Alt:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the ALT key is needed (Windows-style)",Command:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the COMMAND key is needed (Apple-style).\n{{Identical|Command}}",Control:'This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the CONTROL key is needed\n\n"Control key" is also known as "Ctrl key".',Shift:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the SHIFT key is needed",ZoomFactor:"Used as menu item which has the following sub menu items: 125%%, 133%%, 150%%, 175%%, 200%%, 250%%, 300%%, 400%%",Renderer:"Used as menu item which has the following sub menu items:\n* HTML-CSS\n* MathML\n* SVG",MPHandles:"Used as label in the menu.\n\nFollowed by the following menu items:\n* {{msg-mathjax|Mathmenu-MenuEvents}}\n* {{msg-mathjax|Mathmenu-MouseEvents}}\n* {{msg-mathjax|Mathmenu-MenuAndMouse}}",MenuEvents:"Option to let MathPlayer handle the contextual menu selections",MouseEvents:"Option to let MathPlayer handle the mouse clicks",MenuAndMouse:"Option to let MathPlayer handle Mouse and Menu Events",FontPrefs:"This menu item from 'Math Settings' allows selection of the font to use (and is mostly for development purposes) e.g. STIX",ForHTMLCSS:"Used as label in the menu.\n\nFollowed by the following radio box label:\n* {{msg-mathjax|Mathmenu-Auto}}",Auto:"{{Identical|Automatic}}",TeXLocal:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",TeXWeb:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",TeXImage:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",STIXLocal:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",STIXWeb:"{{Related|Mathmenu-fonts}}",AsanaMathWeb:"{{Related|Mathmenu-fonts}}",GyrePagellaWeb:"{{Related|Mathmenu-fonts}}",GyreTermesWeb:"{{Related|Mathmenu-fonts}}",LatinModernWeb:"{{Related|Mathmenu-fonts}}",NeoEulerWeb:"{{Related|Mathmenu-fonts}}",ContextMenu:"Used as menu item.\n\nFollowed by the following sub menu items:\n* MathJax - radio box label\n* {{msg-mathjax|Mathmenu-Browser}} - radio box label",Browser:"Used as menu item.\n\nThe parent menu item is {{msg-mathjax|Mathmenu-ContextMenu}}.\n{{Identical|Browser}}",Scale:"This menu item from 'Math Settings' allows users to set a scaling factor for the MathJax output (relative to the surrounding content).",Discoverable:"This menu option indicates whether the formulas should be highlighted when you pass the mouse over them.\n\nUsed as checkbox label in the menu.",Locale:"This menu item from 'Math Settings' allows to select a language. The language names are specified by the 'menuTitle' properties.\n\nThis menu item has the following sub menu items:\n* en\n* {{msg-mathjax|Mathmenu-LoadLocale}}\n{{Identical|Language}}",LoadLocale:"This allows the user to load the translation from a given URL.\n\nUsed as the menu item which has the parent menu item {{msg-mathjax|Mathmenu-Locale}}.",About:"This opens the 'About MathJax' popup.\n\nUsed as menu item.",Help:"This opens the 'MathJax Help' popup",localTeXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local MathJax TeX fonts.\n{{Related|Mathmenu-using}}",webTeXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses Web versions of MathJax TeX fonts.\n{{Related|Mathmenu-using}}",imagefonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses Image versions of MathJax TeX fonts.\n{{Related|Mathmenu-using}}",localSTIXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local MathJax STIX fonts.\n{{Related|Mathmenu-using}}",webSVGfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses SVG MathJax TeX fonts.\n{{Related|Mathmenu-using}}",genericfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local generic fonts.\n{{Related|Mathmenu-using}}",wofforotffonts:"This is from the 'About MathJax' popup. woff/otf are names of font formats",eotffonts:"This is from the 'About MathJax' popup. eot is a name of font format",svgfonts:"This is from the 'About MathJax' popup. svg is a name of font format",WebkitNativeMMLWarning:"This is the WebKit warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",MSIENativeMMLWarning:"This is the IE warning displayed when a user changes the rendering output to native MathML via the MathJax menu and does not have MathPlayer installed.",OperaNativeMMLWarning:"This is the Opera warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",SafariNativeMMLWarning:"This is the Safari warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",FirefoxNativeMMLWarning:"This is the Firefox warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",MSIESVGWarning:"This is the IE warning displayed when a user changes the rendering output to SVG via the MathJax menu and uses an versions of IE.",LoadURL:"This is the prompt message for the 'LoadLocale' menu entry",BadURL:"This is the alert message when a bad URL is specified for 'LoadLocale'.",BadData:"This is the alert message when the translation data specified 'LoadLocale' fails to be loaded. The argument is the URL specified.",SwitchAnyway:"This is appended at the end of switch warnings.\n\nUsed for JavaScript \u003Ccode\u003Econfirm()\u003C/code\u003E.",ScaleMath:"This is the prompt message for the 'Scale all math' menu entry.\n\nUsed for JavaScript \u003Ccode\u003Eprompt()\u003C/code\u003E.",NonZeroScale:"This is the alert message when the scale specified to 'ScaleMath' is zero",PercentScale:"This is the alert message when the scale specified to 'ScaleMath' is not a percentage",IE8warning:"This this the confirm message displayed for when the user chooses to let MathPlayer control the contextual menu (IE8)",IE9warning:"This this the alert message displayed for when the user chooses to let MathPlayer control the contextual menu (IE9)",NoOriginalForm:"This is the alert box displayed when there are missing source formats for {{Msg-mathjax|Mathmenu-Show}}; see also {{Msg-mathjax|Mathmenu-Original}}.",Close:"Closing button in the 'Show math as' window.\n{{Identical|Close}}",EqSource:"This is the title of the 'Show math as' button.\n\nUsed in the \u003Ccode\u003E\u003Cnowiki\u003E\u003Ctitle\u003E\u003C/nowiki\u003E\u003C/code\u003E tag of the new window.",FastPreview:"A checkbox activating two-passrendering with a faster, rougher preview being rendered by the PreviewHTML output.",AssistiveMML:"A checkbox that activates an extension providing invisible but accessible MathML source alongside the rendering.",InTabOrder:"A checkbox to indicate whether MathJax adds a tabindex attribute (with value '0') to its output."}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/MathMenu.js");
+MathJax.Localization.addTranslation("qqq","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"'Show math as' menu item. MathJax uses 'Math' as a distinct UI choice. Please translate it literally whenever possible.\n\nFollowed by the following menu subitems:\n* {{msg-mathjax|Mathmenu-MathMLcode}}\n* {{msg-mathjax|Mathmenu-Original}}\n* {{msg-mathjax|Mathmenu-Annotation}}\n* {{msg-mathjax|Mathmenu-texHints}} - checkbox label",MathMLcode:"This menu item from 'Show math as' shows the MathML code that MathJax has produced internally (sanitized, indented etc.)\n\nThe parent menu item is {{msg-mathjax|Mathmenu-Show}}.",OriginalMathML:"This menu item from 'Show math as' shows the MathML code as if that was originally in the page source",TeXCommands:"This menu item from 'Show math as' shows the TeX code if that was originally in the page source",AsciiMathInput:"This menu item from 'Show math as' shows the asciimath code if that was originally in the page source",Original:"This menu item from 'Show math as' shows the code that was originally in the page source but has no registered type.\n\nThis can happen when extensions add new input formats but fail to provide an adequate format name.\n\nThe parent menu item is {{msg-mathjax|Mathmenu-Show}}.\n{{Identical|Original form}}",ErrorMessage:"This menu item from 'Show math as' shows the error message if MathJax fails to process the source.\n{{Identical|Error message}}",Annotation:"This menu item from 'Show math as' allows to access possible annotations attached to a MathML formula.\n{{Identical|Annotation}}",TeX:"This is a menu item from the 'Annotation Menu' to show a TeX annotation.",StarMath:"This is a menu item from the 'Annotation Menu' to show a StarMath annotation (StarOffice, OpenOffice, LibreOffice).\n\nProgramming language used in MathJax.",Maple:"This is a menu item from the 'Annotation Menu' to show a Maple annotation.",ContentMathML:"This is a menu item from the 'Annotation Menu' to show a Content MathML annotation.\n\nThe MathML specification defines two versions: 'presentation' MathML (used in MathJax) and 'content' MathML (describes the semantics of the formula).",OpenMath:"This is a menu item from the 'Annotation Menu' to show the OpenMath annotation, an XML representation similar to Content MathML.",texHints:"This menu option from 'Show math as' adds comments to the code produced by 'MathMLCode'.\n\nUsed as checkbox label in the menu.",Settings:"'Math settings' menu item.",ZoomTrigger:"This menu from 'Math Settings' determines how MathJax's zoom is triggered.\n\nFollowed by the following menu items:\n* {{msg-mathjax|Mathmenu-Hover}}\n* {{msg-mathjax|Mathmenu-Click}}\n* {{msg-mathjax|Mathmenu-DoubleClick}}\n* {{msg-mathjax|Mathmenu-NoZoom}}\n* {{msg-mathjax|Mathmenu-TriggerRequires}} - label for the following checkboxes\n* {{msg-mathjax|Mathmenu-Option}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Alt}} - checkbox label, for Windows\n* {{msg-mathjax|Mathmenu-Command}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Control}} - checkbox label, for non-mac\n* {{msg-mathjax|Mathmenu-Shift}} - checkbox label",Hover:"This menu option from 'ZoomTrigger' indicates that the zoom is triggered when the mouse pass over a formula.",Click:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the zoom is triggered when one clicks on a formula.\n{{Identical|Click}}",DoubleClick:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the zoom is triggered when one double-clicks on a formula.",NoZoom:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the zoom is never triggered.",TriggerRequires:"This menu text from {{msg-mathjax|Mathmenu-ZoomTrigger}} describes if the ZoomTrigger requires additional keys.\n\nThe label is followed by the following menu items:\n* {{msg-mathjax|Mathmenu-Option}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Alt}} - checkbox label, for Windows\n* {{msg-mathjax|Mathmenu-Command}} - checkbox label, for Mac\n* {{msg-mathjax|Mathmenu-Control}} - checkbox label, for non-Mac\n* {{msg-mathjax|Mathmenu-Shift}} - checkbox label",Option:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the OPTION key is needed (Apple-style).\n{{Identical|Options}}",Alt:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the ALT key is needed (Windows-style)",Command:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the COMMAND key is needed (Apple-style).\n{{Identical|Command}}",Control:'This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the CONTROL key is needed\n\n"Control key" is also known as "Ctrl key".',Shift:"This menu option from {{msg-mathjax|Mathmenu-ZoomTrigger}} indicates that the SHIFT key is needed",ZoomFactor:"Used as menu item which has the following sub menu items: 125%%, 133%%, 150%%, 175%%, 200%%, 250%%, 300%%, 400%%",Renderer:"Used as menu item which has the following sub menu items:\n* HTML-CSS\n* MathML\n* SVG",MPHandles:"Used as label in the menu.\n\nFollowed by the following menu items:\n* {{msg-mathjax|Mathmenu-MenuEvents}}\n* {{msg-mathjax|Mathmenu-MouseEvents}}\n* {{msg-mathjax|Mathmenu-MenuAndMouse}}",MenuEvents:"Option to let MathPlayer handle the contextual menu selections",MouseEvents:"Option to let MathPlayer handle the mouse clicks",MenuAndMouse:"Option to let MathPlayer handle Mouse and Menu Events",FontPrefs:"This menu item from 'Math Settings' allows selection of the font to use (and is mostly for development purposes) e.g. STIX",ForHTMLCSS:"Used as label in the menu.\n\nFollowed by the following radio box label:\n* {{msg-mathjax|Mathmenu-Auto}}",Auto:"{{Identical|Automatic}}",TeXLocal:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",TeXWeb:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",TeXImage:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",STIXLocal:"Used as label for the radio box in the menu.\n{{Related|Mathmenu-fonts}}",STIXWeb:"{{Related|Mathmenu-fonts}}",AsanaMathWeb:"{{Related|Mathmenu-fonts}}",GyrePagellaWeb:"{{Related|Mathmenu-fonts}}",GyreTermesWeb:"{{Related|Mathmenu-fonts}}",LatinModernWeb:"{{Related|Mathmenu-fonts}}",NeoEulerWeb:"{{Related|Mathmenu-fonts}}",ContextMenu:"Used as menu item.\n\nFollowed by the following sub menu items:\n* MathJax - radio box label\n* {{msg-mathjax|Mathmenu-Browser}} - radio box label",Browser:"Used as menu item.\n\nThe parent menu item is {{msg-mathjax|Mathmenu-ContextMenu}}.\n{{Identical|Browser}}",Scale:"This menu item from 'Math Settings' allows users to set a scaling factor for the MathJax output (relative to the surrounding content).",Discoverable:"This menu option indicates whether the formulas should be highlighted when you pass the mouse over them.\n\nUsed as checkbox label in the menu.",Locale:"This menu item from 'Math Settings' allows to select a language. The language names are specified by the 'menuTitle' properties.\n\nThis menu item has the following sub menu items:\n* en\n* {{msg-mathjax|Mathmenu-LoadLocale}}\n{{Identical|Language}}",LoadLocale:"This allows the user to load the translation from a given URL.\n\nUsed as the menu item which has the parent menu item {{msg-mathjax|Mathmenu-Locale}}.",About:"This opens the 'About MathJax' popup.\n\nUsed as menu item.",Help:"This opens the 'MathJax Help' popup",localTeXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local MathJax TeX fonts.\n{{Related|Mathmenu-using}}",webTeXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses Web versions of MathJax TeX fonts.\n{{Related|Mathmenu-using}}",imagefonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses Image versions of MathJax TeX fonts.\n{{Related|Mathmenu-using}}",localSTIXfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local MathJax STIX fonts.\n{{Related|Mathmenu-using}}",webSVGfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses SVG MathJax TeX fonts.\n{{Related|Mathmenu-using}}",genericfonts:"This is from the 'About MathJax' popup and is displayed when MathJax uses local generic fonts.\n{{Related|Mathmenu-using}}",wofforotffonts:"This is from the 'About MathJax' popup. woff/otf are names of font formats",eotffonts:"This is from the 'About MathJax' popup. eot is a name of font format",svgfonts:"This is from the 'About MathJax' popup. svg is a name of font format",WebkitNativeMMLWarning:"This is the WebKit warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",MSIENativeMMLWarning:"This is the IE warning displayed when a user changes the rendering output to native MathML via the MathJax menu and does not have MathPlayer installed.",OperaNativeMMLWarning:"This is the Opera warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",SafariNativeMMLWarning:"This is the Safari warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",FirefoxNativeMMLWarning:"This is the Firefox warning displayed when a user changes the rendering output to native MathML via the MathJax menu.",MSIESVGWarning:"This is the IE warning displayed when a user changes the rendering output to SVG via the MathJax menu and uses an versions of IE.",LoadURL:"This is the prompt message for the 'LoadLocale' menu entry",BadURL:"This is the alert message when a bad URL is specified for 'LoadLocale'.",BadData:"This is the alert message when the translation data specified 'LoadLocale' fails to be loaded. The argument is the URL specified.",SwitchAnyway:"This is appended at the end of switch warnings.\n\nUsed for JavaScript \u003Ccode\u003Econfirm()\u003C/code\u003E.",ScaleMath:"This is the prompt message for the 'Scale all math' menu entry.\n\nUsed for JavaScript \u003Ccode\u003Eprompt()\u003C/code\u003E.",NonZeroScale:"This is the alert message when the scale specified to 'ScaleMath' is zero",PercentScale:"This is the alert message when the scale specified to 'ScaleMath' is not a percentage",IE8warning:"This this the confirm message displayed for when the user chooses to let MathPlayer control the contextual menu (IE8)",IE9warning:"This this the alert message displayed for when the user chooses to let MathPlayer control the contextual menu (IE9)",NoOriginalForm:"This is the alert box displayed when there are missing source formats for {{Msg-mathjax|Mathmenu-Show}}; see also {{Msg-mathjax|Mathmenu-Original}}.",Close:"Closing button in the 'Show math as' window.\n{{Identical|Close}}",EqSource:"This is the title of the 'Show math as' button.\n\nUsed in the \u003Ccode\u003E\u003Cnowiki\u003E\u003Ctitle\u003E\u003C/nowiki\u003E\u003C/code\u003E tag of the new window.",FastPreview:"A checkbox activating two-passrendering with a faster, rougher preview being rendered by the PreviewHTML output.",AssistiveMML:"A checkbox that activates an extension providing invisible but accessible MathML source alongside the rendering.",InTabOrder:"A checkbox to indicate whether MathJax adds a tabindex attribute (with value '0') to its output."}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/MathMenu.js");
diff --git a/localization/qqq/TeX.js b/localization/qqq/TeX.js
index daf917acf5..fc40ec6010 100644
--- a/localization/qqq/TeX.js
+++ b/localization/qqq/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/qqq/TeX.js
+ *  /MathJax-v2/localization/qqq/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( { \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraCloseMissingOpen}}",ExtraCloseMissingOpen:"This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( } \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraOpenMissingClose}}",MissingLeftExtraRight:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when \u003Ccode\u003Eleft\u003C/code\u003E/\u003Ccode\u003Eright\u003C/code\u003E commands do no match e.g. \u003Ccode\u003E\\( \\right) \\)\u003C/code\u003E",MissingScript:"This appears in TeX expressions when a superscript or subscript is missing e.g. \u003Ccode\u003Ea^2\u003C/code\u003E or \u003Ccode\u003Ea_2\u003C/code\u003E.",ExtraLeftMissingRight:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when \u003Ccode\u003Eleft\u003C/code\u003E/\u003Ccode\u003Eright\u003C/code\u003E commands do no match e.g. \u003Ccode\u003E\\( \\left( \\)\u003C/code\u003E",Misplaced:"This appears in TeX expressions when an item is misplaced e.g. \u003Ccode\u003E\\( \u0026 \\)\u003C/code\u003E since the ampersand is supposed to be used in tabular expressions.\n\nParameters:\n* %1 - the misplaced item",MissingOpenForSub:"This appears in TeX expressions when a subscript is missing an open brace e.g. \u003Ccode\u003E\\( x__ \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-MissingOpenForSup}}",MissingOpenForSup:"This appears in TeX expressions when a superscript is missing an open brace e.g. \u003Ccode\u003E\\( x^^ \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-MissingOpenForSub}}",AmbiguousUseOf:"This appears in TeX expressions when a command is used in an ambiguous way e.g. \u003Ccode\u003E\\( x \\over y \\over z \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the name of the TeX command",EnvBadEnd:"{{doc-important|Do not translate \u003Ccode\u003E\\begin\u003C/code\u003E and \u003Ccode\u003E\\end\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when environment names do not match e.g. \u003Ccode\u003E\\( \\begin{aligned} \\end{eqarray} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name used for \u003Ccode\u003E\\begin\u003C/code\u003E\n* %2 - the environment name used for \u003Ccode\u003E\\end\u003C/code\u003E",EnvMissingEnd:"{{doc-important|Do not translate \u003Ccode\u003E\\end\u003C/code\u003E, it is a TeX command.}}\nThis appears in TeX expressions when an environment is not closed e.g. \u003Ccode\u003E\\( \\begin{aligned} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003Ealigned\u003C/code\u003E",MissingBoxFor:"This appears in TeX expressions when a command is missing a TeX box e.g. \u003Ccode\u003E\\( \\raise 1pt \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name",MissingCloseBrace:"This appears in TeX expressions when a close brace is missing e.g. \u003Ccode\u003E\\( \\array{ \\)\u003C/code\u003E",UndefinedControlSequence:"This appears in TeX expressions when an undefined control sequence is used. Parameters:\n* %1 - the name of the TeX command",DoubleExponent:"This appears in TeX expressions when an ambiguous double exponent is used e.g. \u003Ccode\u003Ex^3^2\u003C/code\u003E should be \u003Ccode\u003Ex^{3^2}\u003C/code\u003E or \u003Ccode\u003E{x^3}^2\u003C/code\u003E.\n\nSee also:\n* {{msg-mathjax|Tex-DoubleSubscripts}}",DoubleSubscripts:"This appears in TeX expressions when an ambiguous double subscripts is used e.g. \u003Ccode\u003Ex_3_2\u003C/code\u003E should be \u003Ccode\u003Ex_{3_2}\u003C/code\u003E or \u003Ccode\u003E{x_3}_2\u003Ccode\u003E.\n\nSee also:\n* {{msg-mathjax|Tex-DoubleExponent}}",DoubleExponentPrime:"This appears in TeX expressions when an ambiguous double exponent is caused by a prime e.g. \u003Ccode\u003Ex^a'\u003C/code\u003E should be \u003Ccode\u003E{x^a}'\u003C/code\u003E or \u003Ccode\u003Ex^{a'}\u003C/code\u003E",CantUseHash1:"This appears in TeX expressions when the macro parameter character '#' is used in math mode e.g. \u003Ccode\u003E\\( # \\)\u003C/code\u003E",MisplacedMiddle:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when the \u003Ccode\u003Emiddle\u003C/code\u003E command is used outside \u003Ccode\u003E\\left ... \\right\u003C/code\u003E e.g. \u003Ccode\u003E\\( \\middle| \\)\u003C/code\u003E",MisplacedLimits:"This appears in TeX expressions when the \u003Ccode\u003Elimits\u003C/code\u003E command is not used on an operator e.g. \u003Ccode\u003E\\( \\limits \\)\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\limits\u003C/code\u003E",MisplacedMoveRoot:"This appears in TeX expressions when a move root command is used outside a root e.g. \u003Ccode\u003E\\( \\uproot \\)\u003C/code\u003E.\n\nParameters:\n* %1 - either \u003Ccode\u003E\\uproot\u003C/code\u003E or \u003Ccode\u003E\\leftroot\u003C/code\u003E",MultipleCommand:"This happens when a command or token can only be present once, e.g. \u003Ccode\u003E\\tag{}\u003C/code\u003E. Parameters:\n* %1 - the name of the duplicated command",IntegerArg:"This happens when an unexpected non-integer argument is passed to a command e.g. \u003Ccode\u003E\\uproot\u003C/code\u003E.\n\nParameters:\n* %1 - the name of the command",NotMathMLToken:"MathJax has a non-standard \u003Ccode\u003E\\mmlToken\u003C/code\u003E command to insert MathML token elements.\n\nThis error happens when the tag name is unknown e.g. \u003Ccode\u003E\\mmlToken{INVALID}{x}\u003C/code\u003E",InvalidMathMLAttr:"MathJax has non standard MathML and HTML related commands which can contain attributes.\n\nThis error happens when the parameter is not a valid attribute e.g. \u003Ccode\u003E\\( \\mmlToken{mi}[_INVALID_]{x} \\)\u003C/code\u003E where underscores are forbidden.",UnknownAttrForElement:"MathJax has non standard MathML and HTML related commands which can contain attributes.\n\nThis error happens when the attribute is invalid for the given element e.g. \u003Ccode\u003E\\( \\mmlToken{mi}[INVALIDATTR=\u003Cnowiki\u003E''\u003C/nowiki\u003E]{x} \\)\u003C/code\u003E\n\nParameters:\n* %1 - attribute\n* %2 - ...",MaxMacroSub1:"MathJax limits the number of macro substitutions to prevent infinite loops.\n\nFor example, this error may happen with \u003Ccode\u003E\\newcommand{\\a}{\\a} \\a\u003C/code\u003E",MaxMacroSub2:"MathJax limits the number of nested environments to prevent infinite loops.\n\nFor example, this error may happen with \u003Ccode\u003E\\newenvironment{a}{\\begin{a}}{\\end{a}} \\begin{a}\\end{a}\u003C/code\u003E",MissingArgFor:"This happens when an argument is missing e.g. \u003Ccode\u003E\\frac{a}\u003C/code\u003E. Parameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\frac\u003C/code\u003E",ExtraAlignTab:"{{doc-important|Do not translate \u003Ccode\u003E\\cases\u003C/code\u003E; it is a TeX command.}}\nThis happens when \u003Ccode\u003E\\cases\u003C/code\u003E has two many columns e.g. \u003Ccode\u003E\\cases{a \u0026 b \u0026 c}\u003C/code\u003E",BracketMustBeDimension:"This happens when a bracket argument of an item is not a dimension e.g. \u003Ccode\u003E\\begin{array} x \\\\[INVALID] y \\end{array}\u003C/code\u003E.\n\nParameters:\n* %1 - e.g. \u003Ccode\u003E\\\u003C/code\u003E",InvalidEnv:"This happens with invalid environment name e.g. \u003Ccode\u003E\\begin{_INVALID_} \\end{_INVALID_}\u003C/code\u003E where underscores are forbidden.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003E_INVALID_\u003C/code\u003E",UnknownEnv:"This happens when an unknown environment is used e.g. \u003Ccode\u003E\\begin{UNKNOWN} \\end{UNKNOWN}\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003EUNKNOWN\u003C/code\u003E",ExtraCloseLooking:"This happens in some situations when an extra close brace is found while looking for another character, for example \u003Ccode\u003E\\( \\sqrt['''{{red|\u003Cnowiki\u003E}\u003C/nowiki\u003E}}''']x \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the character searched e.g. \u003Ccode\u003E]\u003C/code\u003E",MissingCloseBracket:"This error happens when a closing '\u003Ccode\u003E]\u003C/code\u003E' is missing e.g. \u003Ccode\u003E\\( \\sqrt[ \\)\u003C/code\u003E. Parameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\sqrt\u003C/code\u003E",MissingOrUnrecognizedDelim:"This error happens when a delimiter is missing or unrecognized in a TeX expression e.g. \u003Ccode\u003E\\( \\left \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\left\u003C/code\u003E",MissingDimOrUnits:"This error happens with some TeX commands that are expecting a unit e.g. \u003Ccode\u003E\\above\u003C/code\u003E. Parameters:\n* %1 - the command name",TokenNotFoundForCommand:"This happens while processing a TeX command that is expected to contain a token e.g. \u003Ccode\u003E\\( \\root{x} \\)\u003C/code\u003E where '\u003Ccode\u003E\\of\u003C/code\u003E' should be used.\n\nParameters:\n* %1 - the token not found e.g. \u003Ccode\u003E\\of\u003C/code\u003E\n* %2 - the command being processed e.g. \u003Ccode\u003E\\root\u003C/code\u003E",MathNotTerminated:"This happens when a math is not terminated in a text box e.g. \u003Ccode\u003E\\( \\text{$x} \\)\u003C/code\u003E where the closing dollar is missing.",IllegalMacroParam:"This error happens when an invalid macro parameter reference is used e.g. \u003Ccode\u003E\\( \\def\\mymacro#1{#2} \\mymacro{x} \\)\u003C/code\u003E where '#2' is invalid since \u003Ccode\u003E\\mymacro\u003C/code\u003E has only one parameter.",MaxBufferSize:"The buffer size refers to the memory used by the TeX input processor.\n\nThis error may happen with recursive calls e.g. \u003Ccode\u003E\\( \\newcommand{\\a}{\\a\\a} \\a \\)\u003C/code\u003E.\n\nNote that the number of a's is exponential with respect to the number of recursive calls.\n\nHence 'MaxBufferSize' is likely to happen before 'MaxMacroSub1'",CommandNotAllowedInEnv:"This appears when the \u003Ccode\u003E\\tag\u003C/code\u003E command is used inside an environment that does not allow labelling e.g. \u003Ccode\u003E\\begin{split} x \\tag{x} \\end{split}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\tag\u003C/code\u003E\n* %2 - the name of the environment",MultipleLabel:"This happens when TeX labels are duplicated e.g. \u003Ccode\u003E\\( \\label{x} \\) \\( \\label{x} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - TeX label name",CommandAtTheBeginingOfLine:"This happens when showleft/showright are misplaced. Parameters:\n* %1 - the macro name",IllegalAlign:"This happens when an invalid alignment is specified in \u003Ccode\u003E\\cfrac\u003C/code\u003E e.g. \u003Ccode\u003E\\cfrac[INVALID]{a}{b}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\cfrac\u003C/code\u003E",BadMathStyleFor:"This happens when an invalid style is specified in \u003Ccode\u003E\\genfrac\u003C/code\u003E e.g. \u003Ccode\u003E\\genfrac{\\{}{\\}}{0pt}{INVALID}{a}{b}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\genfrac\u003C/code\u003E",PositiveIntegerArg:"This happens when an invalid alignment is specified in the \u003Ccode\u003Ealignedat\u003C/code\u003E environment e.g. \u003Ccode\u003E\\begin{alignedat}{INVALID}\\end{alignedat}\u003C/code\u003E.",ErroneousNestingEq:"This happens when some equation structures are nested in a way forbidden by LaTeX e.g. two nested \u003Ccode\u003Emultline\u003C/code\u003E environment.",MultlineRowsOneCol:"This happens when a row of the \u003Ccode\u003Emultline\u003C/code\u003E environment has more than one column e.g. \u003Ccode\u003E\\begin{multline} x \u0026 y \\end{multline}\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name \u003Ccode\u003Emultline\u003C/code\u003E",MultipleBBoxProperty:"This appears with the TeX command \u003Ccode\u003E\\bbox\u003C/code\u003E when a property e.g. the background color is specified twice.\n\nParameters:\n* %1 - the name of the duplicate property\n* %2 - the command name \u003Ccode\u003E\\bbox\u003C/code\u003E",InvalidBBoxProperty:"This appears with the TeX command \u003Ccode\u003E\\bbox\u003C/code\u003E when a property is not a color, a padding dimension, or a style.\n\n'padding' is a CSS property name for the 'inner margin' of a box. You may verify on MDN how it is translated in your language.\n\nParameters:\n* %1 - the name of the invalid property specified",ExtraEndMissingBegin:"{{doc-important|Do not translate \u003Ccode\u003E\\begingroup\u003C/code\u003E.}}\nThis appears in TeX expressions when begingroup/endgroup do not match. Parameters:\n* %1 - the command name \u003Ccode\u003E\\endgroup\u003C/code\u003E",GlobalNotFollowedBy:"{{doc-important|Do not translate \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, or \u003Ccode\u003E\\newcommand\u003C/code\u003E; they are TeX expressions.}}\nThis appears in TeX expressions when \u003Ccode\u003E\\global\u003C/code\u003E is not followed by \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, or \u003Ccode\u003E\\newcommand\u003C/code\u003E",UndefinedColorModel:"An invalid color model is used for the \u003Ccode\u003E\\color\u003C/code\u003E command. Parameters:\n* %1 - the color model specified",ModelArg1:"An invalid color value is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{}{} \\)\u003C/code\u003E\n\nParameters:\n* %1 - color model name",InvalidDecimalNumber:"An invalid decimal number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[rgb]{,,}{} \\)\u003C/code\u003E.\n\nA valid decimal number is such as: 12, 12., 12.34, .34",ModelArg2:"An out-of-range number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{256,,}{} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the color model e.g. \u003Ccode\u003ERGB\u003C/code\u003E\n* %2 - the lower bound of the valid interval e.g. 0 for the RGB color model\n* %3 - the upper bound of the valid interval e.g. 255 for the RGB color model",InvalidNumber:"An invalid number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{,,}{} \\)\u003C/code\u003E.\n\nA valid number is such as: 123",NewextarrowArg1:"Used when the first argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NewextarrowArg2:"Used when the second argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NewextarrowArg3:"Used when the third argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NoClosingChar:"This is used in TeX mhchem expressions when a closing delimiters is missing e.g. \u003Ccode\u003E\\( \\ce{ -\u003E[ } \\)\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E)\u003C/code\u003E, \u003Ccode\u003E}\u003C/code\u003E, or \u003Ccode\u003E]\u003C/code\u003E",IllegalControlSequenceName:"This appears when the \u003Ccode\u003E\\newcommand\u003C/code\u003E TeX command is given an illegal control sequence name.\n\nParameters:\n* %1 - \u003Ccode\u003E\\newcommand\u003C/code\u003E",IllegalParamNumber:"This appears when the \u003Ccode\u003E\\newcommand\u003C/code\u003E TeX command is given an illegal number of parameters.\n\nParameters:\n* %1 - \u003Ccode\u003E\\newcommand\u003C/code\u003E",MissingCS:"This appears when a TeX definitions is not followed by a control sequence e.g. \u003Ccode\u003E\\let INVALID\u003C/code\u003E.\n\nParameters:\n* %1 - may be commands like  \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, \u003Ccode\u003E\\newcommand\u003C/code\u003E, \u003Ccode\u003E\\global\u003C/code\u003E, etc.",CantUseHash2:"This appears when the character '#' is incorrectly used in TeX definitions, e.g. \u003Ccode\u003E\\def\\mycommand{{red|#}}A\u003C/code\u003E.\n\nParameters:\n* %1 - the command used e.g. \u003Ccode\u003Emycommand\u003C/code\u003E",SequentialParam:"This appears in TeX definitions when parameters are not numbered sequentially e.g. \u003Ccode\u003E\\def\\mycommand#2#1\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\def\u003C/code\u003E",MissingReplacementString:"This appears in TeX definitions when you don't specify a replacement string e.g. \u003Ccode\u003E\\def\\mycommand\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\def\u003C/code\u003E",MismatchUseDef:"This appears in TeX definitions when a TeX command does not match its definition e.g. \u003Ccode\u003E\\( \\def\\mycommand[#1]#2[#3]{#1+#2+#3} \\mycommand{a}{b}[c] \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\mycommand\u003C/code\u003E",RunawayArgument:"This appears in TeX definitions when a TeX command does not match its definition e.g. \u003Ccode\u003E\\( \\def\\mycommand[#1][#2]#3{#1+#2+#3} \\mycommand[a]{b} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\mycommand\u003C/code\u003E",NoClosingDelim:"This appears in TeX expressions when a \u003Ccode\u003E\\verb\u003C/code\u003E command is not closed e.g. \u003Ccode\u003E\\( \\verb?... \\)\u003C/code\u003E is missing a closing question mark.\n\nParameters:\n* %1 - the command name"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/TeX.js");
+MathJax.Localization.addTranslation("qqq","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( { \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraCloseMissingOpen}}",ExtraCloseMissingOpen:"This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( } \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraOpenMissingClose}}",MissingLeftExtraRight:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when \u003Ccode\u003Eleft\u003C/code\u003E/\u003Ccode\u003Eright\u003C/code\u003E commands do no match e.g. \u003Ccode\u003E\\( \\right) \\)\u003C/code\u003E",MissingScript:"This appears in TeX expressions when a superscript or subscript is missing e.g. \u003Ccode\u003Ea^2\u003C/code\u003E or \u003Ccode\u003Ea_2\u003C/code\u003E.",ExtraLeftMissingRight:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when \u003Ccode\u003Eleft\u003C/code\u003E/\u003Ccode\u003Eright\u003C/code\u003E commands do no match e.g. \u003Ccode\u003E\\( \\left( \\)\u003C/code\u003E",Misplaced:"This appears in TeX expressions when an item is misplaced e.g. \u003Ccode\u003E\\( \u0026 \\)\u003C/code\u003E since the ampersand is supposed to be used in tabular expressions.\n\nParameters:\n* %1 - the misplaced item",MissingOpenForSub:"This appears in TeX expressions when a subscript is missing an open brace e.g. \u003Ccode\u003E\\( x__ \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-MissingOpenForSup}}",MissingOpenForSup:"This appears in TeX expressions when a superscript is missing an open brace e.g. \u003Ccode\u003E\\( x^^ \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-MissingOpenForSub}}",AmbiguousUseOf:"This appears in TeX expressions when a command is used in an ambiguous way e.g. \u003Ccode\u003E\\( x \\over y \\over z \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the name of the TeX command",EnvBadEnd:"{{doc-important|Do not translate \u003Ccode\u003E\\begin\u003C/code\u003E and \u003Ccode\u003E\\end\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when environment names do not match e.g. \u003Ccode\u003E\\( \\begin{aligned} \\end{eqarray} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name used for \u003Ccode\u003E\\begin\u003C/code\u003E\n* %2 - the environment name used for \u003Ccode\u003E\\end\u003C/code\u003E",EnvMissingEnd:"{{doc-important|Do not translate \u003Ccode\u003E\\end\u003C/code\u003E, it is a TeX command.}}\nThis appears in TeX expressions when an environment is not closed e.g. \u003Ccode\u003E\\( \\begin{aligned} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003Ealigned\u003C/code\u003E",MissingBoxFor:"This appears in TeX expressions when a command is missing a TeX box e.g. \u003Ccode\u003E\\( \\raise 1pt \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name",MissingCloseBrace:"This appears in TeX expressions when a close brace is missing e.g. \u003Ccode\u003E\\( \\array{ \\)\u003C/code\u003E",UndefinedControlSequence:"This appears in TeX expressions when an undefined control sequence is used. Parameters:\n* %1 - the name of the TeX command",DoubleExponent:"This appears in TeX expressions when an ambiguous double exponent is used e.g. \u003Ccode\u003Ex^3^2\u003C/code\u003E should be \u003Ccode\u003Ex^{3^2}\u003C/code\u003E or \u003Ccode\u003E{x^3}^2\u003C/code\u003E.\n\nSee also:\n* {{msg-mathjax|Tex-DoubleSubscripts}}",DoubleSubscripts:"This appears in TeX expressions when an ambiguous double subscripts is used e.g. \u003Ccode\u003Ex_3_2\u003C/code\u003E should be \u003Ccode\u003Ex_{3_2}\u003C/code\u003E or \u003Ccode\u003E{x_3}_2\u003Ccode\u003E.\n\nSee also:\n* {{msg-mathjax|Tex-DoubleExponent}}",DoubleExponentPrime:"This appears in TeX expressions when an ambiguous double exponent is caused by a prime e.g. \u003Ccode\u003Ex^a'\u003C/code\u003E should be \u003Ccode\u003E{x^a}'\u003C/code\u003E or \u003Ccode\u003Ex^{a'}\u003C/code\u003E",CantUseHash1:"This appears in TeX expressions when the macro parameter character '#' is used in math mode e.g. \u003Ccode\u003E\\( # \\)\u003C/code\u003E",MisplacedMiddle:"{{doc-important|Do not translate \u003Ccode\u003E\\left\u003C/code\u003E and \u003Ccode\u003E\\right\u003C/code\u003E; they are TeX commands.}}\nThis appears in TeX expressions when the \u003Ccode\u003Emiddle\u003C/code\u003E command is used outside \u003Ccode\u003E\\left ... \\right\u003C/code\u003E e.g. \u003Ccode\u003E\\( \\middle| \\)\u003C/code\u003E",MisplacedLimits:"This appears in TeX expressions when the \u003Ccode\u003Elimits\u003C/code\u003E command is not used on an operator e.g. \u003Ccode\u003E\\( \\limits \\)\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\limits\u003C/code\u003E",MisplacedMoveRoot:"This appears in TeX expressions when a move root command is used outside a root e.g. \u003Ccode\u003E\\( \\uproot \\)\u003C/code\u003E.\n\nParameters:\n* %1 - either \u003Ccode\u003E\\uproot\u003C/code\u003E or \u003Ccode\u003E\\leftroot\u003C/code\u003E",MultipleCommand:"This happens when a command or token can only be present once, e.g. \u003Ccode\u003E\\tag{}\u003C/code\u003E. Parameters:\n* %1 - the name of the duplicated command",IntegerArg:"This happens when an unexpected non-integer argument is passed to a command e.g. \u003Ccode\u003E\\uproot\u003C/code\u003E.\n\nParameters:\n* %1 - the name of the command",NotMathMLToken:"MathJax has a non-standard \u003Ccode\u003E\\mmlToken\u003C/code\u003E command to insert MathML token elements.\n\nThis error happens when the tag name is unknown e.g. \u003Ccode\u003E\\mmlToken{INVALID}{x}\u003C/code\u003E",InvalidMathMLAttr:"MathJax has non standard MathML and HTML related commands which can contain attributes.\n\nThis error happens when the parameter is not a valid attribute e.g. \u003Ccode\u003E\\( \\mmlToken{mi}[_INVALID_]{x} \\)\u003C/code\u003E where underscores are forbidden.",UnknownAttrForElement:"MathJax has non standard MathML and HTML related commands which can contain attributes.\n\nThis error happens when the attribute is invalid for the given element e.g. \u003Ccode\u003E\\( \\mmlToken{mi}[INVALIDATTR=\u003Cnowiki\u003E''\u003C/nowiki\u003E]{x} \\)\u003C/code\u003E\n\nParameters:\n* %1 - attribute\n* %2 - ...",MaxMacroSub1:"MathJax limits the number of macro substitutions to prevent infinite loops.\n\nFor example, this error may happen with \u003Ccode\u003E\\newcommand{\\a}{\\a} \\a\u003C/code\u003E",MaxMacroSub2:"MathJax limits the number of nested environments to prevent infinite loops.\n\nFor example, this error may happen with \u003Ccode\u003E\\newenvironment{a}{\\begin{a}}{\\end{a}} \\begin{a}\\end{a}\u003C/code\u003E",MissingArgFor:"This happens when an argument is missing e.g. \u003Ccode\u003E\\frac{a}\u003C/code\u003E. Parameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\frac\u003C/code\u003E",ExtraAlignTab:"{{doc-important|Do not translate \u003Ccode\u003E\\cases\u003C/code\u003E; it is a TeX command.}}\nThis happens when \u003Ccode\u003E\\cases\u003C/code\u003E has two many columns e.g. \u003Ccode\u003E\\cases{a \u0026 b \u0026 c}\u003C/code\u003E",BracketMustBeDimension:"This happens when a bracket argument of an item is not a dimension e.g. \u003Ccode\u003E\\begin{array} x \\\\[INVALID] y \\end{array}\u003C/code\u003E.\n\nParameters:\n* %1 - e.g. \u003Ccode\u003E\\\u003C/code\u003E",InvalidEnv:"This happens with invalid environment name e.g. \u003Ccode\u003E\\begin{_INVALID_} \\end{_INVALID_}\u003C/code\u003E where underscores are forbidden.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003E_INVALID_\u003C/code\u003E",UnknownEnv:"This happens when an unknown environment is used e.g. \u003Ccode\u003E\\begin{UNKNOWN} \\end{UNKNOWN}\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name e.g. \u003Ccode\u003EUNKNOWN\u003C/code\u003E",ExtraCloseLooking:"This happens in some situations when an extra close brace is found while looking for another character, for example \u003Ccode\u003E\\( \\sqrt['''{{red|\u003Cnowiki\u003E}\u003C/nowiki\u003E}}''']x \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the character searched e.g. \u003Ccode\u003E]\u003C/code\u003E",MissingCloseBracket:"This error happens when a closing '\u003Ccode\u003E]\u003C/code\u003E' is missing e.g. \u003Ccode\u003E\\( \\sqrt[ \\)\u003C/code\u003E. Parameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\sqrt\u003C/code\u003E",MissingOrUnrecognizedDelim:"This error happens when a delimiter is missing or unrecognized in a TeX expression e.g. \u003Ccode\u003E\\( \\left \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\left\u003C/code\u003E",MissingDimOrUnits:"This error happens with some TeX commands that are expecting a unit e.g. \u003Ccode\u003E\\above\u003C/code\u003E. Parameters:\n* %1 - the command name",TokenNotFoundForCommand:"This happens while processing a TeX command that is expected to contain a token e.g. \u003Ccode\u003E\\( \\root{x} \\)\u003C/code\u003E where '\u003Ccode\u003E\\of\u003C/code\u003E' should be used.\n\nParameters:\n* %1 - the token not found e.g. \u003Ccode\u003E\\of\u003C/code\u003E\n* %2 - the command being processed e.g. \u003Ccode\u003E\\root\u003C/code\u003E",MathNotTerminated:"This happens when a math is not terminated in a text box e.g. \u003Ccode\u003E\\( \\text{$x} \\)\u003C/code\u003E where the closing dollar is missing.",IllegalMacroParam:"This error happens when an invalid macro parameter reference is used e.g. \u003Ccode\u003E\\( \\def\\mymacro#1{#2} \\mymacro{x} \\)\u003C/code\u003E where '#2' is invalid since \u003Ccode\u003E\\mymacro\u003C/code\u003E has only one parameter.",MaxBufferSize:"The buffer size refers to the memory used by the TeX input processor.\n\nThis error may happen with recursive calls e.g. \u003Ccode\u003E\\( \\newcommand{\\a}{\\a\\a} \\a \\)\u003C/code\u003E.\n\nNote that the number of a's is exponential with respect to the number of recursive calls.\n\nHence 'MaxBufferSize' is likely to happen before 'MaxMacroSub1'",CommandNotAllowedInEnv:"This appears when the \u003Ccode\u003E\\tag\u003C/code\u003E command is used inside an environment that does not allow labelling e.g. \u003Ccode\u003E\\begin{split} x \\tag{x} \\end{split}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\tag\u003C/code\u003E\n* %2 - the name of the environment",MultipleLabel:"This happens when TeX labels are duplicated e.g. \u003Ccode\u003E\\( \\label{x} \\) \\( \\label{x} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - TeX label name",CommandAtTheBeginingOfLine:"This happens when showleft/showright are misplaced. Parameters:\n* %1 - the macro name",IllegalAlign:"This happens when an invalid alignment is specified in \u003Ccode\u003E\\cfrac\u003C/code\u003E e.g. \u003Ccode\u003E\\cfrac[INVALID]{a}{b}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\cfrac\u003C/code\u003E",BadMathStyleFor:"This happens when an invalid style is specified in \u003Ccode\u003E\\genfrac\u003C/code\u003E e.g. \u003Ccode\u003E\\genfrac{\\{}{\\}}{0pt}{INVALID}{a}{b}\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E\\genfrac\u003C/code\u003E",PositiveIntegerArg:"This happens when an invalid alignment is specified in the \u003Ccode\u003Ealignedat\u003C/code\u003E environment e.g. \u003Ccode\u003E\\begin{alignedat}{INVALID}\\end{alignedat}\u003C/code\u003E.",ErroneousNestingEq:"This happens when some equation structures are nested in a way forbidden by LaTeX e.g. two nested \u003Ccode\u003Emultline\u003C/code\u003E environment.",MultlineRowsOneCol:"This happens when a row of the \u003Ccode\u003Emultline\u003C/code\u003E environment has more than one column e.g. \u003Ccode\u003E\\begin{multline} x \u0026 y \\end{multline}\u003C/code\u003E.\n\nParameters:\n* %1 - the environment name \u003Ccode\u003Emultline\u003C/code\u003E",MultipleBBoxProperty:"This appears with the TeX command \u003Ccode\u003E\\bbox\u003C/code\u003E when a property e.g. the background color is specified twice.\n\nParameters:\n* %1 - the name of the duplicate property\n* %2 - the command name \u003Ccode\u003E\\bbox\u003C/code\u003E",InvalidBBoxProperty:"This appears with the TeX command \u003Ccode\u003E\\bbox\u003C/code\u003E when a property is not a color, a padding dimension, or a style.\n\n'padding' is a CSS property name for the 'inner margin' of a box. You may verify on MDN how it is translated in your language.\n\nParameters:\n* %1 - the name of the invalid property specified",ExtraEndMissingBegin:"{{doc-important|Do not translate \u003Ccode\u003E\\begingroup\u003C/code\u003E.}}\nThis appears in TeX expressions when begingroup/endgroup do not match. Parameters:\n* %1 - the command name \u003Ccode\u003E\\endgroup\u003C/code\u003E",GlobalNotFollowedBy:"{{doc-important|Do not translate \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, or \u003Ccode\u003E\\newcommand\u003C/code\u003E; they are TeX expressions.}}\nThis appears in TeX expressions when \u003Ccode\u003E\\global\u003C/code\u003E is not followed by \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, or \u003Ccode\u003E\\newcommand\u003C/code\u003E",UndefinedColorModel:"An invalid color model is used for the \u003Ccode\u003E\\color\u003C/code\u003E command. Parameters:\n* %1 - the color model specified",ModelArg1:"An invalid color value is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{}{} \\)\u003C/code\u003E\n\nParameters:\n* %1 - color model name",InvalidDecimalNumber:"An invalid decimal number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[rgb]{,,}{} \\)\u003C/code\u003E.\n\nA valid decimal number is such as: 12, 12., 12.34, .34",ModelArg2:"An out-of-range number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{256,,}{} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the color model e.g. \u003Ccode\u003ERGB\u003C/code\u003E\n* %2 - the lower bound of the valid interval e.g. 0 for the RGB color model\n* %3 - the upper bound of the valid interval e.g. 255 for the RGB color model",InvalidNumber:"An invalid number is used for the \u003Ccode\u003E\\color\u003C/code\u003E command e.g. \u003Ccode\u003E\\( \\color[RGB]{,,}{} \\)\u003C/code\u003E.\n\nA valid number is such as: 123",NewextarrowArg1:"Used when the first argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NewextarrowArg2:"Used when the second argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NewextarrowArg3:"Used when the third argument of \u003Ccode\u003E\\Newextarrow\u003C/code\u003E is invalid. Parameters:\n* %1 - the command name \u003Ccode\u003E\\Newextarrow\u003C/code\u003E",NoClosingChar:"This is used in TeX mhchem expressions when a closing delimiters is missing e.g. \u003Ccode\u003E\\( \\ce{ -\u003E[ } \\)\u003C/code\u003E.\n\nParameters:\n* %1 - \u003Ccode\u003E)\u003C/code\u003E, \u003Ccode\u003E}\u003C/code\u003E, or \u003Ccode\u003E]\u003C/code\u003E",IllegalControlSequenceName:"This appears when the \u003Ccode\u003E\\newcommand\u003C/code\u003E TeX command is given an illegal control sequence name.\n\nParameters:\n* %1 - \u003Ccode\u003E\\newcommand\u003C/code\u003E",IllegalParamNumber:"This appears when the \u003Ccode\u003E\\newcommand\u003C/code\u003E TeX command is given an illegal number of parameters.\n\nParameters:\n* %1 - \u003Ccode\u003E\\newcommand\u003C/code\u003E",MissingCS:"This appears when a TeX definitions is not followed by a control sequence e.g. \u003Ccode\u003E\\let INVALID\u003C/code\u003E.\n\nParameters:\n* %1 - may be commands like  \u003Ccode\u003E\\let\u003C/code\u003E, \u003Ccode\u003E\\def\u003C/code\u003E, \u003Ccode\u003E\\newcommand\u003C/code\u003E, \u003Ccode\u003E\\global\u003C/code\u003E, etc.",CantUseHash2:"This appears when the character '#' is incorrectly used in TeX definitions, e.g. \u003Ccode\u003E\\def\\mycommand{{red|#}}A\u003C/code\u003E.\n\nParameters:\n* %1 - the command used e.g. \u003Ccode\u003Emycommand\u003C/code\u003E",SequentialParam:"This appears in TeX definitions when parameters are not numbered sequentially e.g. \u003Ccode\u003E\\def\\mycommand#2#1\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\def\u003C/code\u003E",MissingReplacementString:"This appears in TeX definitions when you don't specify a replacement string e.g. \u003Ccode\u003E\\def\\mycommand\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\def\u003C/code\u003E",MismatchUseDef:"This appears in TeX definitions when a TeX command does not match its definition e.g. \u003Ccode\u003E\\( \\def\\mycommand[#1]#2[#3]{#1+#2+#3} \\mycommand{a}{b}[c] \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\mycommand\u003C/code\u003E",RunawayArgument:"This appears in TeX definitions when a TeX command does not match its definition e.g. \u003Ccode\u003E\\( \\def\\mycommand[#1][#2]#3{#1+#2+#3} \\mycommand[a]{b} \\)\u003C/code\u003E.\n\nParameters:\n* %1 - the command name e.g. \u003Ccode\u003E\\mycommand\u003C/code\u003E",NoClosingDelim:"This appears in TeX expressions when a \u003Ccode\u003E\\verb\u003C/code\u003E command is not closed e.g. \u003Ccode\u003E\\( \\verb?... \\)\u003C/code\u003E is missing a closing question mark.\n\nParameters:\n* %1 - the command name"}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/TeX.js");
diff --git a/localization/qqq/qqq.js b/localization/qqq/qqq.js
index d2407ee016..43e3e0e44f 100644
--- a/localization/qqq/qqq.js
+++ b/localization/qqq/qqq.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/qqq/qqq.js
+ *  /MathJax-v2/localization/qqq/qqq.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("qqq",null,{menuTitle:"Message Documentation",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"This alert message is displayed when the MathJax cookie contains some data with URL or Config properties. These properties may be used to ask MathJax to perform actions during the Configuration phase: either loading a javascript file (URL property) or executing a configuration function (Config property). Note that the character '\\n' is used to specify new lines inside the alert box.",MathProcessingError:"This message appears when a Javascript error happens during the processing of a mathematical element.",MathError:"This message appears instead of 'Math Processing Error' when the obsolete Accessible configuration is used.",LoadFile:"This appears in the MathJax message box when a file is loading. Parameters:\n* %1 - the file name\n{{Identical|Loading}}",Loading:"This appears in the MathJax message box when a file is loading and the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.\n{{Identical|Loading}}",LoadFailed:"This appears in the MathJax message box when a file fails to load. Parameters:\n* %1 - the file name",ProcessMath:"This appears in the MathJax message box during the conversion process from an input format (e.g., LaTeX, asciimath) to MathJax's internal format.\n\nParameters:\n* %1 - a percentage",Processing:"This appears in the MathJax message box during the conversion process from an input format (e.g., LaTeX, asciimath) to MathJax's internal format when the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.\n{{Identical|Processing}}",TypesetMath:"This appears in the MathJax message box during the layout process of converting the internal format to the output format.\n\nParameters:\n* %1 - a percentage",Typesetting:"This appears in the MathJax message box during the layout process of converting the internal format to the output format when the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.",MathJaxNotSupported:"This appears in the MathJax message box when MathJax determines the browser does not have adequate features.",ErrorTips:"Debugging tips that appear in 'Show Math As' pop-ups if a rendering error occured."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/qqq.js");
+MathJax.Localization.addTranslation("qqq",null,{menuTitle:"Message Documentation",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"This alert message is displayed when the MathJax cookie contains some data with URL or Config properties. These properties may be used to ask MathJax to perform actions during the Configuration phase: either loading a javascript file (URL property) or executing a configuration function (Config property). Note that the character '\\n' is used to specify new lines inside the alert box.",MathProcessingError:"This message appears when a Javascript error happens during the processing of a mathematical element.",MathError:"This message appears instead of 'Math Processing Error' when the obsolete Accessible configuration is used.",LoadFile:"This appears in the MathJax message box when a file is loading. Parameters:\n* %1 - the file name\n{{Identical|Loading}}",Loading:"This appears in the MathJax message box when a file is loading and the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.\n{{Identical|Loading}}",LoadFailed:"This appears in the MathJax message box when a file fails to load. Parameters:\n* %1 - the file name",ProcessMath:"This appears in the MathJax message box during the conversion process from an input format (e.g., LaTeX, asciimath) to MathJax's internal format.\n\nParameters:\n* %1 - a percentage",Processing:"This appears in the MathJax message box during the conversion process from an input format (e.g., LaTeX, asciimath) to MathJax's internal format when the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.\n{{Identical|Processing}}",TypesetMath:"This appears in the MathJax message box during the layout process of converting the internal format to the output format.\n\nParameters:\n* %1 - a percentage",Typesetting:"This appears in the MathJax message box during the layout process of converting the internal format to the output format when the messageStyle configuration option is set to 'simple'.\n\nIt will be followed by growing sequence of dots to show the progress.",MathJaxNotSupported:"This appears in the MathJax message box when MathJax determines the browser does not have adequate features.",ErrorTips:"Debugging tips that appear in 'Show Math As' pop-ups if a rendering error occured."}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/qqq/qqq.js");
diff --git a/localization/ru/FontWarnings.js b/localization/ru/FontWarnings.js
index 0bd7ec01c1..9c2ad918ad 100644
--- a/localization/ru/FontWarnings.js
+++ b/localization/ru/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ru/FontWarnings.js
+ *  /MathJax-v2/localization/ru/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax \u043F\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0435\u0442 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0435 \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \u0441\u0435\u0442\u0435\u0432\u044B\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432. \u0427\u0442\u043E\u0431\u044B\u00A0\u0443\u0441\u043A\u043E\u0440\u0438\u0442\u044C \u043F\u043E\u043A\u0430\u0437, \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0435\u043C \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430\u00A0\u0412\u0430\u0448\u0435\u0439 \u043C\u0430\u0448\u0438\u043D\u0435.",imageFonts:"MathJax \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043A\u0438\u0435 \u0440\u0430\u0441\u0442\u0440\u043E\u0432\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B, \u0430\u00A0\u043D\u0435\u00A0\u0441\u0435\u0442\u0435\u0432\u044B\u0435 \u0438\u043B\u0438\u00A0\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435. \u042D\u0442\u043E \u0437\u0430\u043C\u0435\u0434\u043B\u044F\u0435\u0442 \u043F\u043E\u043A\u0430\u0437 \u0444\u043E\u0440\u043C\u0443\u043B, \u043A\u0440\u043E\u043C\u0435 \u0442\u043E\u0433\u043E, \u043E\u043D\u0438 \u043C\u043E\u0433\u0443\u0442 \u043F\u0435\u0447\u0430\u0442\u0430\u0442\u044C\u0441\u044F \u0441\u00A0\u0440\u0430\u0437\u0440\u0435\u0448\u0435\u043D\u0438\u0435\u043C \u043C\u0435\u043D\u044C\u0448\u0438\u043C, \u0447\u0435\u043C\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u043F\u0440\u0438\u043D\u0442\u0435\u0440.",noFonts:"MathJax \u043D\u0435\u00A0\u0441\u0443\u043C\u0435\u043B \u043F\u043E\u0434\u043E\u0431\u0440\u0430\u0442\u044C \u0448\u0440\u0438\u0444\u0442 \u0434\u043B\u044F\u00A0\u0432\u044B\u0432\u043E\u0434\u0430 \u0444\u043E\u0440\u043C\u0443\u043B, \u0430\u00A0\u0440\u0430\u0441\u0442\u0440\u043E\u0432\u044B\u0435 \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u044B, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u043E\u043D \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u0441\u0438\u043C\u0432\u043E\u043B\u044B Unicode, \u0432\u00A0\u043D\u0430\u0434\u0435\u0436\u0434\u0435, \u0447\u0442\u043E\u00A0\u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u0441\u043C\u043E\u0436\u0435\u0442 \u0438\u0445 \u043F\u043E\u043A\u0430\u0437\u0430\u0442\u044C. \u041D\u0435\u043A\u043E\u0442\u043E\u0440\u044B\u0435, \u0438\u043B\u0438 \u0434\u0430\u0436\u0435 \u0432\u0441\u0435, \u0441\u0438\u043C\u0432\u043E\u043B\u044B \u043C\u043E\u0433\u0443\u0442 \u043D\u0435\u00A0\u043E\u0442\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u044C\u0441\u044F.",webFonts:"\u0411\u043E\u043B\u044C\u0448\u0430\u044F \u0447\u0430\u0441\u0442\u044C \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u043D\u044B\u0445 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u043E\u0432 \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0437\u0430\u0433\u0440\u0443\u0436\u0430\u0442\u044C \u0441\u0435\u0442\u0435\u0432\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B. \u0415\u0441\u043B\u0438\u00A0\u043E\u0431\u043D\u043E\u0432\u0438\u0442\u044C \u0438\u043B\u0438\u00A0\u0441\u043C\u0435\u043D\u0438\u0442\u044C \u0431\u0440\u0430\u0443\u0437\u0435\u0440, \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043C\u043E\u0433\u0443\u0442 \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u043B\u0443\u0447\u0448\u0435.",fonts:"MathJax \u043C\u043E\u0436\u0435\u0442 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u044C \u0438\u043B\u0438 [STIX fonts](%1) \u0438\u043B\u0438 [MathJax TeX fonts](%2).  \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u043E\u0434\u043D\u043E \u0438\u0437\u00A0\u0434\u0432\u0443\u0445, \u0447\u0442\u043E\u0431\u044B\u00A0\u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0432\u044B\u0432\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B.",STIXPage:"\u042D\u0442\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430 \u043F\u0440\u0435\u0434\u043D\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u0434\u043B\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u044F [STIX-\u0448\u0440\u0438\u0444\u0442\u043E\u0432](%1). \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u044D\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u044B, \u0447\u0442\u043E\u0431\u044B \u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0440\u0430\u0431\u043E\u0442\u0443 \u0441 MathJax.",TeXPage:"\u042D\u0442\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430 \u043F\u0440\u0435\u0434\u043D\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u0434\u043B\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u044F [MathJax TeX-\u0448\u0440\u0438\u0444\u0442\u043E\u0432](%1). \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u044D\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u044B, \u0447\u0442\u043E\u0431\u044B \u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0440\u0430\u0431\u043E\u0442\u0443 \u0441 MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/FontWarnings.js");
+MathJax.Localization.addTranslation("ru","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax \u043F\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0435\u0442 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0435 \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \u0441\u0435\u0442\u0435\u0432\u044B\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432. \u0427\u0442\u043E\u0431\u044B\u00A0\u0443\u0441\u043A\u043E\u0440\u0438\u0442\u044C \u043F\u043E\u043A\u0430\u0437, \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0435\u043C \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430\u00A0\u0412\u0430\u0448\u0435\u0439 \u043C\u0430\u0448\u0438\u043D\u0435.",imageFonts:"MathJax \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043A\u0438\u0435 \u0440\u0430\u0441\u0442\u0440\u043E\u0432\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B, \u0430\u00A0\u043D\u0435\u00A0\u0441\u0435\u0442\u0435\u0432\u044B\u0435 \u0438\u043B\u0438\u00A0\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435. \u042D\u0442\u043E \u0437\u0430\u043C\u0435\u0434\u043B\u044F\u0435\u0442 \u043F\u043E\u043A\u0430\u0437 \u0444\u043E\u0440\u043C\u0443\u043B, \u043A\u0440\u043E\u043C\u0435 \u0442\u043E\u0433\u043E, \u043E\u043D\u0438 \u043C\u043E\u0433\u0443\u0442 \u043F\u0435\u0447\u0430\u0442\u0430\u0442\u044C\u0441\u044F \u0441\u00A0\u0440\u0430\u0437\u0440\u0435\u0448\u0435\u043D\u0438\u0435\u043C \u043C\u0435\u043D\u044C\u0448\u0438\u043C, \u0447\u0435\u043C\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u043F\u0440\u0438\u043D\u0442\u0435\u0440.",noFonts:"MathJax \u043D\u0435\u00A0\u0441\u0443\u043C\u0435\u043B \u043F\u043E\u0434\u043E\u0431\u0440\u0430\u0442\u044C \u0448\u0440\u0438\u0444\u0442 \u0434\u043B\u044F\u00A0\u0432\u044B\u0432\u043E\u0434\u0430 \u0444\u043E\u0440\u043C\u0443\u043B, \u0430\u00A0\u0440\u0430\u0441\u0442\u0440\u043E\u0432\u044B\u0435 \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u044B, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u043E\u043D \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u0441\u0438\u043C\u0432\u043E\u043B\u044B Unicode, \u0432\u00A0\u043D\u0430\u0434\u0435\u0436\u0434\u0435, \u0447\u0442\u043E\u00A0\u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u0441\u043C\u043E\u0436\u0435\u0442 \u0438\u0445 \u043F\u043E\u043A\u0430\u0437\u0430\u0442\u044C. \u041D\u0435\u043A\u043E\u0442\u043E\u0440\u044B\u0435, \u0438\u043B\u0438 \u0434\u0430\u0436\u0435 \u0432\u0441\u0435, \u0441\u0438\u043C\u0432\u043E\u043B\u044B \u043C\u043E\u0433\u0443\u0442 \u043D\u0435\u00A0\u043E\u0442\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u044C\u0441\u044F.",webFonts:"\u0411\u043E\u043B\u044C\u0448\u0430\u044F \u0447\u0430\u0441\u0442\u044C \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u043D\u044B\u0445 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u043E\u0432 \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0437\u0430\u0433\u0440\u0443\u0436\u0430\u0442\u044C \u0441\u0435\u0442\u0435\u0432\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B. \u0415\u0441\u043B\u0438\u00A0\u043E\u0431\u043D\u043E\u0432\u0438\u0442\u044C \u0438\u043B\u0438\u00A0\u0441\u043C\u0435\u043D\u0438\u0442\u044C \u0431\u0440\u0430\u0443\u0437\u0435\u0440, \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043C\u043E\u0433\u0443\u0442 \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u043B\u0443\u0447\u0448\u0435.",fonts:"MathJax \u043C\u043E\u0436\u0435\u0442 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u044C \u0438\u043B\u0438 [STIX fonts](%1) \u0438\u043B\u0438 [MathJax TeX fonts](%2).  \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u043E\u0434\u043D\u043E \u0438\u0437\u00A0\u0434\u0432\u0443\u0445, \u0447\u0442\u043E\u0431\u044B\u00A0\u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0432\u044B\u0432\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B.",STIXPage:"\u042D\u0442\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430 \u043F\u0440\u0435\u0434\u043D\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u0434\u043B\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u044F [STIX-\u0448\u0440\u0438\u0444\u0442\u043E\u0432](%1). \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u044D\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u044B, \u0447\u0442\u043E\u0431\u044B \u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0440\u0430\u0431\u043E\u0442\u0443 \u0441 MathJax.",TeXPage:"\u042D\u0442\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430 \u043F\u0440\u0435\u0434\u043D\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u0434\u043B\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u044F [MathJax TeX-\u0448\u0440\u0438\u0444\u0442\u043E\u0432](%1). \u0421\u043A\u0430\u0447\u0430\u0439\u0442\u0435 \u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435 \u044D\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u044B, \u0447\u0442\u043E\u0431\u044B \u0443\u043B\u0443\u0447\u0448\u0438\u0442\u044C \u0440\u0430\u0431\u043E\u0442\u0443 \u0441 MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/FontWarnings.js");
diff --git a/localization/ru/HTML-CSS.js b/localization/ru/HTML-CSS.js
index 04b98c420c..7e97b9bbf1 100644
--- a/localization/ru/HTML-CSS.js
+++ b/localization/ru/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ru/HTML-CSS.js
+ *  /MathJax-v2/localization/ru/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0430 %1",CantLoadWebFont:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435\u0442 \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u044B \u0441 \u0443\u0434\u0430\u043B\u0451\u043D\u043D\u043E\u0433\u043E \u0445\u043E\u0441\u0442\u0430",CantFindFontUsing:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 \u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0448\u0440\u0438\u0444\u0442 \u0441\u0440\u0435\u0434\u0438 %1",WebFontsNotAvailable:"\u0412\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u044B \u2014 \u0432\u043C\u0435\u0441\u0442\u043E \u043D\u0438\u0445 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430 \u043E\u0441\u043D\u043E\u0432\u0435 \u0438\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0439"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/HTML-CSS.js");
+MathJax.Localization.addTranslation("ru","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0430 %1",CantLoadWebFont:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435\u0442 \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u044B \u0441 \u0443\u0434\u0430\u043B\u0451\u043D\u043D\u043E\u0433\u043E \u0445\u043E\u0441\u0442\u0430",CantFindFontUsing:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 \u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0448\u0440\u0438\u0444\u0442 \u0441\u0440\u0435\u0434\u0438 %1",WebFontsNotAvailable:"\u0412\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u044B \u2014 \u0432\u043C\u0435\u0441\u0442\u043E \u043D\u0438\u0445 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430 \u043E\u0441\u043D\u043E\u0432\u0435 \u0438\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0439"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/HTML-CSS.js");
diff --git a/localization/ru/HelpDialog.js b/localization/ru/HelpDialog.js
index e6e01511fd..ca665daf97 100644
--- a/localization/ru/HelpDialog.js
+++ b/localization/ru/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ru/HelpDialog.js
+ *  /MathJax-v2/localization/ru/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"\u041F\u043E\u043C\u043E\u0447\u044C \u043F\u043E MathJax",MathJax:"*MathJax*\u00A0\u2014 \u0431\u0438\u0431\u043B\u0438\u043E\u0442\u0435\u043A\u0430 \u043D\u0430\u00A0JavaScript, \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0449\u0430\u044F \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0430\u00A0\u0432\u0435\u0431-\u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0445. \u0418\u0445\u00A0\u0447\u0438\u0442\u0430\u0442\u0435\u043B\u044F\u043C \u0434\u043B\u044F\u00A0\u044D\u0442\u043E\u0433\u043E \u043D\u0438\u0447\u0435\u0433\u043E \u043D\u0435\u00A0\u043D\u0430\u0434\u043E \u0434\u0435\u043B\u0430\u0442\u044C.",Browsers:"*\u0411\u0440\u0430\u0443\u0437\u0435\u0440\u044B*: MathJax \u0440\u0430\u0431\u043E\u0442\u0430\u0435\u0442 \u0441\u043E\u00A0\u0432\u0441\u0435\u043C\u0438 \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u043D\u044B\u043C\u0438 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430\u043C\u0438, \u0432\u043A\u043B\u044E\u0447\u0430\u044F IE6+, Firefox 3+, Chrome 0.2+, Safari 2+. Opera 9.6+ \u0438\u00A0\u0431\u043E\u043B\u044C\u0448\u0438\u043D\u0441\u0442\u0432\u043E \u043C\u043E\u0431\u0438\u043B\u044C\u043D\u044B\u0445",Menu:"*\u041C\u0435\u043D\u044E \u0444\u043E\u0440\u043C\u0443\u043B*: MathJax \u0434\u043E\u0431\u0430\u0432\u043B\u044F\u0435\u0442 \u043A\u00A0\u0444\u043E\u0440\u043C\u0443\u043B\u0430\u043C \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E, \u0432\u044B\u0437\u044B\u0432\u0430\u0435\u043C\u043E\u0435 \u043F\u0440\u0430\u0432\u043E\u0439 \u043A\u043D\u043E\u043F\u043A\u043E\u0439 \u043C\u044B\u0448\u0438 \u0438\u043B\u0438\u00A0\u0449\u0435\u043B\u0447\u043A\u043E\u043C \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Ctrl.",ShowMath:"*\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u0443 \u043A\u0430\u043A* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0443\u0432\u0438\u0434\u0435\u0442\u044C \u0438\u00A0\u0441\u043A\u043E\u043F\u0438\u0440\u043E\u0432\u0430\u0442\u044C \u0438\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0432\u00A0\u0444\u043E\u0440\u043C\u0430\u0442\u0435 MathML \u0438\u043B\u0438\u00A0\u043F\u0435\u0440\u0432\u043E\u043D\u0430\u0447\u0430\u043B\u044C\u043D\u043E\u043C.",Settings:"*\u041D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442 \u043D\u0430\u0441\u0442\u0440\u0430\u0438\u0432\u0430\u0442\u044C \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438 MathJax, \u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, \u0440\u0430\u0437\u043C\u0435\u0440 \u0444\u043E\u0440\u043C\u0443\u043B \u0438\u00A0\u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C \u0438\u0445\u00A0\u043F\u043E\u043A\u0430\u0437\u0430.",Language:"*\u042F\u0437\u044B\u043A* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0432\u044B\u0431\u0440\u0430\u0442\u044C \u044F\u0437\u044B\u043A \u043C\u0435\u043D\u044E \u0438\u00A0\u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0439 MathJax.",Zoom:"*\u0423\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u0435* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0443\u0432\u0435\u043B\u0438\u0447\u0438\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u0443.",Accessibilty:"*\u0421\u043F\u0435\u0446\u0438\u0430\u043B\u044C\u043D\u044B\u0435 \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438*: MathJax \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u043C\u044B \u0447\u0442\u0435\u043D\u0438\u044F, \u043E\u0437\u0432\u0443\u0447\u0438\u0432\u0430\u044F \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0434\u043B\u044F\u00A0\u0441\u043B\u0435\u043F\u044B\u0445 \u0438\u00A0\u0441\u043B\u0430\u0431\u043E\u0432\u0438\u0434\u044F\u0449\u0438\u0445.",Fonts:"*\u0428\u0440\u0438\u0444\u0442\u044B*: MathJax \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0451\u043D\u043D\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B, \u0435\u0441\u043B\u0438\u00A0\u043E\u043D\u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u044B \u043D\u0430\u00A0\u0412\u0430\u0448\u0435\u043C \u043A\u043E\u043C\u043F\u044C\u044E\u0442\u0435\u0440\u0435, \u0432\u00A0\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E\u043C \u0441\u043B\u0443\u0447\u0430\u0435, \u0437\u0430\u0433\u0440\u0443\u0436\u0430\u044E\u0442\u0441\u044F \u0441\u0435\u0442\u0435\u0432\u044B\u0435. \u041C\u044B \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0435\u043C \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C [STIX fonts](%1), \u0447\u0442\u043E\u0431\u044B\u00A0\u0443\u0441\u043A\u043E\u0440\u0438\u0442\u044C \u0432\u044B\u0432\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B.",CloseDialog:"\u0417\u0430\u043A\u0440\u044B\u0442\u044C \u0434\u0438\u0430\u043B\u043E\u0433 \u0441\u043F\u0440\u0430\u0432\u043A\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/HelpDialog.js");
+MathJax.Localization.addTranslation("ru","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"\u041F\u043E\u043C\u043E\u0447\u044C \u043F\u043E MathJax",MathJax:"*MathJax*\u00A0\u2014 \u0431\u0438\u0431\u043B\u0438\u043E\u0442\u0435\u043A\u0430 \u043D\u0430\u00A0JavaScript, \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0449\u0430\u044F \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0430\u00A0\u0432\u0435\u0431-\u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0445. \u0418\u0445\u00A0\u0447\u0438\u0442\u0430\u0442\u0435\u043B\u044F\u043C \u0434\u043B\u044F\u00A0\u044D\u0442\u043E\u0433\u043E \u043D\u0438\u0447\u0435\u0433\u043E \u043D\u0435\u00A0\u043D\u0430\u0434\u043E \u0434\u0435\u043B\u0430\u0442\u044C.",Browsers:"*\u0411\u0440\u0430\u0443\u0437\u0435\u0440\u044B*: MathJax \u0440\u0430\u0431\u043E\u0442\u0430\u0435\u0442 \u0441\u043E\u00A0\u0432\u0441\u0435\u043C\u0438 \u0441\u043E\u0432\u0440\u0435\u043C\u0435\u043D\u043D\u044B\u043C\u0438 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430\u043C\u0438, \u0432\u043A\u043B\u044E\u0447\u0430\u044F IE6+, Firefox 3+, Chrome 0.2+, Safari 2+. Opera 9.6+ \u0438\u00A0\u0431\u043E\u043B\u044C\u0448\u0438\u043D\u0441\u0442\u0432\u043E \u043C\u043E\u0431\u0438\u043B\u044C\u043D\u044B\u0445",Menu:"*\u041C\u0435\u043D\u044E \u0444\u043E\u0440\u043C\u0443\u043B*: MathJax \u0434\u043E\u0431\u0430\u0432\u043B\u044F\u0435\u0442 \u043A\u00A0\u0444\u043E\u0440\u043C\u0443\u043B\u0430\u043C \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E, \u0432\u044B\u0437\u044B\u0432\u0430\u0435\u043C\u043E\u0435 \u043F\u0440\u0430\u0432\u043E\u0439 \u043A\u043D\u043E\u043F\u043A\u043E\u0439 \u043C\u044B\u0448\u0438 \u0438\u043B\u0438\u00A0\u0449\u0435\u043B\u0447\u043A\u043E\u043C \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Ctrl.",ShowMath:"*\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u0443 \u043A\u0430\u043A* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0443\u0432\u0438\u0434\u0435\u0442\u044C \u0438\u00A0\u0441\u043A\u043E\u043F\u0438\u0440\u043E\u0432\u0430\u0442\u044C \u0438\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0432\u00A0\u0444\u043E\u0440\u043C\u0430\u0442\u0435 MathML \u0438\u043B\u0438\u00A0\u043F\u0435\u0440\u0432\u043E\u043D\u0430\u0447\u0430\u043B\u044C\u043D\u043E\u043C.",Settings:"*\u041D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442 \u043D\u0430\u0441\u0442\u0440\u0430\u0438\u0432\u0430\u0442\u044C \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438 MathJax, \u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, \u0440\u0430\u0437\u043C\u0435\u0440 \u0444\u043E\u0440\u043C\u0443\u043B \u0438\u00A0\u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C \u0438\u0445\u00A0\u043F\u043E\u043A\u0430\u0437\u0430.",Language:"*\u042F\u0437\u044B\u043A* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0432\u044B\u0431\u0440\u0430\u0442\u044C \u044F\u0437\u044B\u043A \u043C\u0435\u043D\u044E \u0438\u00A0\u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0439 MathJax.",Zoom:"*\u0423\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u0435* \u043F\u043E\u0437\u0432\u043E\u043B\u044F\u0435\u0442 \u0443\u0432\u0435\u043B\u0438\u0447\u0438\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u0443.",Accessibilty:"*\u0421\u043F\u0435\u0446\u0438\u0430\u043B\u044C\u043D\u044B\u0435 \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438*: MathJax \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u043C\u044B \u0447\u0442\u0435\u043D\u0438\u044F, \u043E\u0437\u0432\u0443\u0447\u0438\u0432\u0430\u044F \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0434\u043B\u044F\u00A0\u0441\u043B\u0435\u043F\u044B\u0445 \u0438\u00A0\u0441\u043B\u0430\u0431\u043E\u0432\u0438\u0434\u044F\u0449\u0438\u0445.",Fonts:"*\u0428\u0440\u0438\u0444\u0442\u044B*: MathJax \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0451\u043D\u043D\u044B\u0435 \u0448\u0440\u0438\u0444\u0442\u044B, \u0435\u0441\u043B\u0438\u00A0\u043E\u043D\u0438 \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u044B \u043D\u0430\u00A0\u0412\u0430\u0448\u0435\u043C \u043A\u043E\u043C\u043F\u044C\u044E\u0442\u0435\u0440\u0435, \u0432\u00A0\u043F\u0440\u043E\u0442\u0438\u0432\u043D\u043E\u043C \u0441\u043B\u0443\u0447\u0430\u0435, \u0437\u0430\u0433\u0440\u0443\u0436\u0430\u044E\u0442\u0441\u044F \u0441\u0435\u0442\u0435\u0432\u044B\u0435. \u041C\u044B \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0435\u043C \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C [STIX fonts](%1), \u0447\u0442\u043E\u0431\u044B\u00A0\u0443\u0441\u043A\u043E\u0440\u0438\u0442\u044C \u0432\u044B\u0432\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B.",CloseDialog:"\u0417\u0430\u043A\u0440\u044B\u0442\u044C \u0434\u0438\u0430\u043B\u043E\u0433 \u0441\u043F\u0440\u0430\u0432\u043A\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/HelpDialog.js");
diff --git a/localization/ru/MathML.js b/localization/ru/MathML.js
index 62ee44a399..7a347ac5d9 100644
--- a/localization/ru/MathML.js
+++ b/localization/ru/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ru/MathML.js
+ *  /MathJax-v2/localization/ru/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u041D\u0435\u0432\u0435\u0440\u043D\u044B\u0439 mglyph\u02D0 %1",BadMglyphFont:"\u041F\u043B\u043E\u0445\u043E\u0439 \u0448\u0440\u0438\u0444\u0442: %1",MathPlayer:"MathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0433 \u043D\u0430\u0441\u0442\u0440\u043E\u0438\u0442\u044C MathPlayer.\n\n\u0415\u0441\u043B\u0438\u00A0MathPlayer \u043D\u0435\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D, \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435. \u0415\u0441\u043B\u0438\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D, \u0432\u0435\u0440\u043E\u044F\u0442\u043D\u043E, \u0412\u0430\u0448\u0438 \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 \u0431\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u0438 \u043D\u0435\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442 \u0437\u0430\u043F\u0443\u0441\u043A ActiveX. \u0412\u00A0\u043C\u0435\u043D\u044E \u0418\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B|\u0421\u0432\u043E\u0439\u0441\u0442\u0432\u0430 \u043E\u0431\u043E\u0437\u0440\u0435\u0432\u0430\u0442\u0435\u043B\u044F \u0432\u044B\u0431\u0435\u0440\u0438\u0442\u0435 \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u00AB\u0411\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u044C\u00BB, \u043D\u0430\u0436\u043C\u0438\u0442\u0435 \u043A\u043D\u043E\u043F\u043A\u0443 \u00AB\u0414\u0440\u0443\u0433\u043E\u0439\u2026\u00BB \u0438\u00A0\u0443\u0431\u0435\u0434\u0438\u0442\u0435\u0441\u044C, \u0447\u0442\u043E\u00A0\u0438\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B ActiveX \u0438\u00A0\u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u0435 \u0434\u0432\u043E\u0438\u0447\u043D\u043E\u0433\u043E \u043A\u043E\u0434\u0430 \u0438\u00A0\u0441\u0446\u0435\u043D\u0430\u0440\u0438\u0435\u0432 \u0432\u043A\u043B\u044E\u0447\u0435\u043D\u044B.\n\n\u0421\u0435\u0439\u0447\u0430\u0441 \u0412\u044B \u0434\u043E\u043B\u0436\u043D\u044B \u0432\u0438\u0434\u0435\u0442\u044C \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F \u043E\u0431\u00A0\u043E\u0448\u0438\u0431\u043A\u0430\u0445, \u0430\u00A0\u043D\u0435\u00A0\u0444\u043E\u0440\u043C\u0443\u043B\u044B.",CantCreateXMLParser:"MathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0433 \u0441\u043E\u0437\u0434\u0430\u0442\u044C \u043F\u0430\u0440\u0441\u0435\u0440 XML \u0434\u043B\u044F\u00A0MathML. \u0423\u0431\u0435\u0434\u0438\u0442\u0435\u0441\u044C, \u0447\u0442\u043E\u00A0\u044D\u043B\u0435\u043C\u0435\u043D\u0442\u044B ActiveX, \u043E\u0442\u043C\u0435\u0447\u0435\u043D\u043D\u044B\u0435 \u043A\u0430\u043A\u00A0\u0431\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u044B\u0435 \u0434\u043B\u044F\u00A0\u0441\u043A\u0440\u0438\u043F\u0442\u043E\u0432, \u0432\u043A\u043B\u044E\u0447\u0435\u043D\u044B (\u0412\u00A0\u043C\u0435\u043D\u044E \u0418\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B|\u0421\u0432\u043E\u0439\u0441\u0442\u0432\u0430 \u043E\u0431\u043E\u0437\u0440\u0435\u0432\u0430\u0442\u0435\u043B\u044F \u0432\u044B\u0431\u0435\u0440\u0438\u0442\u0435 \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u00AB\u0411\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u044C\u00BB, \u043D\u0430\u0436\u043C\u0438\u0442\u0435 \u043A\u043D\u043E\u043F\u043A\u0443 \u00AB\u0414\u0440\u0443\u0433\u043E\u0439\u2026\u00BB).\n\nMathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0436\u0435\u0442 \u0432\u044B\u0432\u0435\u0441\u0442\u0438 \u0444\u043E\u0440\u043C\u0443\u043B\u044B MathML.",UnknownNodeType:"\u041D\u0435\u0438\u0437\u043C\u0435\u0441\u0442\u043D\u044B\u0439 \u0442\u044D\u0433 %1",UnexpectedTextNode:"\u0422\u0435\u043A\u0441\u0442\u043E\u0432\u044B\u0439 \u0443\u0437\u0435\u043B %1 \u0432\u00A0\u044D\u0442\u043E\u043C \u043C\u0435\u0441\u0442\u0435 \u043D\u0435\u00A0\u043E\u0436\u0438\u0434\u0430\u0435\u0442\u0441\u044F",ErrorParsingMathML:"\u041E\u0448\u0438\u0431\u043A\u0430 \u0440\u0430\u0437\u0431\u043E\u0440\u0430 MathML",ParsingError:"\u041E\u0448\u0438\u0431\u043A\u0430 \u0440\u0430\u0437\u0431\u043E\u0440\u0430 MathML: %1",MathMLSingleElement:"MathML \u0434\u043E\u043B\u0436\u0435\u043D \u0441\u043E\u0434\u0435\u0440\u0436\u0430\u0442\u044C \u0442\u043E\u043B\u044C\u043A\u043E \u043E\u0434\u0438\u043D \u0442\u044D\u0433 \u003Cmath\u003E",MathMLRootElement:"\u041A\u043E\u0440\u043D\u0435\u0432\u044B\u043C \u0443\u0437\u043B\u043E\u043C MathML \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u003Cmath\u003E, \u043D\u0435\u00A0%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/MathML.js");
+MathJax.Localization.addTranslation("ru","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"\u041D\u0435\u0432\u0435\u0440\u043D\u044B\u0439 mglyph\u02D0 %1",BadMglyphFont:"\u041F\u043B\u043E\u0445\u043E\u0439 \u0448\u0440\u0438\u0444\u0442: %1",MathPlayer:"MathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0433 \u043D\u0430\u0441\u0442\u0440\u043E\u0438\u0442\u044C MathPlayer.\n\n\u0415\u0441\u043B\u0438\u00A0MathPlayer \u043D\u0435\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D, \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0435. \u0415\u0441\u043B\u0438\u00A0\u0443\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D, \u0432\u0435\u0440\u043E\u044F\u0442\u043D\u043E, \u0412\u0430\u0448\u0438 \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 \u0431\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u0438 \u043D\u0435\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442 \u0437\u0430\u043F\u0443\u0441\u043A ActiveX. \u0412\u00A0\u043C\u0435\u043D\u044E \u0418\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B|\u0421\u0432\u043E\u0439\u0441\u0442\u0432\u0430 \u043E\u0431\u043E\u0437\u0440\u0435\u0432\u0430\u0442\u0435\u043B\u044F \u0432\u044B\u0431\u0435\u0440\u0438\u0442\u0435 \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u00AB\u0411\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u044C\u00BB, \u043D\u0430\u0436\u043C\u0438\u0442\u0435 \u043A\u043D\u043E\u043F\u043A\u0443 \u00AB\u0414\u0440\u0443\u0433\u043E\u0439\u2026\u00BB \u0438\u00A0\u0443\u0431\u0435\u0434\u0438\u0442\u0435\u0441\u044C, \u0447\u0442\u043E\u00A0\u0438\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B ActiveX \u0438\u00A0\u043F\u043E\u0432\u0435\u0434\u0435\u043D\u0438\u0435 \u0434\u0432\u043E\u0438\u0447\u043D\u043E\u0433\u043E \u043A\u043E\u0434\u0430 \u0438\u00A0\u0441\u0446\u0435\u043D\u0430\u0440\u0438\u0435\u0432 \u0432\u043A\u043B\u044E\u0447\u0435\u043D\u044B.\n\n\u0421\u0435\u0439\u0447\u0430\u0441 \u0412\u044B \u0434\u043E\u043B\u0436\u043D\u044B \u0432\u0438\u0434\u0435\u0442\u044C \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F \u043E\u0431\u00A0\u043E\u0448\u0438\u0431\u043A\u0430\u0445, \u0430\u00A0\u043D\u0435\u00A0\u0444\u043E\u0440\u043C\u0443\u043B\u044B.",CantCreateXMLParser:"MathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0433 \u0441\u043E\u0437\u0434\u0430\u0442\u044C \u043F\u0430\u0440\u0441\u0435\u0440 XML \u0434\u043B\u044F\u00A0MathML. \u0423\u0431\u0435\u0434\u0438\u0442\u0435\u0441\u044C, \u0447\u0442\u043E\u00A0\u044D\u043B\u0435\u043C\u0435\u043D\u0442\u044B ActiveX, \u043E\u0442\u043C\u0435\u0447\u0435\u043D\u043D\u044B\u0435 \u043A\u0430\u043A\u00A0\u0431\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u044B\u0435 \u0434\u043B\u044F\u00A0\u0441\u043A\u0440\u0438\u043F\u0442\u043E\u0432, \u0432\u043A\u043B\u044E\u0447\u0435\u043D\u044B (\u0412\u00A0\u043C\u0435\u043D\u044E \u0418\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u044B|\u0421\u0432\u043E\u0439\u0441\u0442\u0432\u0430 \u043E\u0431\u043E\u0437\u0440\u0435\u0432\u0430\u0442\u0435\u043B\u044F \u0432\u044B\u0431\u0435\u0440\u0438\u0442\u0435 \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u00AB\u0411\u0435\u0437\u043E\u043F\u0430\u0441\u043D\u043E\u0441\u0442\u044C\u00BB, \u043D\u0430\u0436\u043C\u0438\u0442\u0435 \u043A\u043D\u043E\u043F\u043A\u0443 \u00AB\u0414\u0440\u0443\u0433\u043E\u0439\u2026\u00BB).\n\nMathJax \u043D\u0435\u00A0\u0441\u043C\u043E\u0436\u0435\u0442 \u0432\u044B\u0432\u0435\u0441\u0442\u0438 \u0444\u043E\u0440\u043C\u0443\u043B\u044B MathML.",UnknownNodeType:"\u041D\u0435\u0438\u0437\u043C\u0435\u0441\u0442\u043D\u044B\u0439 \u0442\u044D\u0433 %1",UnexpectedTextNode:"\u0422\u0435\u043A\u0441\u0442\u043E\u0432\u044B\u0439 \u0443\u0437\u0435\u043B %1 \u0432\u00A0\u044D\u0442\u043E\u043C \u043C\u0435\u0441\u0442\u0435 \u043D\u0435\u00A0\u043E\u0436\u0438\u0434\u0430\u0435\u0442\u0441\u044F",ErrorParsingMathML:"\u041E\u0448\u0438\u0431\u043A\u0430 \u0440\u0430\u0437\u0431\u043E\u0440\u0430 MathML",ParsingError:"\u041E\u0448\u0438\u0431\u043A\u0430 \u0440\u0430\u0437\u0431\u043E\u0440\u0430 MathML: %1",MathMLSingleElement:"MathML \u0434\u043E\u043B\u0436\u0435\u043D \u0441\u043E\u0434\u0435\u0440\u0436\u0430\u0442\u044C \u0442\u043E\u043B\u044C\u043A\u043E \u043E\u0434\u0438\u043D \u0442\u044D\u0433 \u003Cmath\u003E",MathMLRootElement:"\u041A\u043E\u0440\u043D\u0435\u0432\u044B\u043C \u0443\u0437\u043B\u043E\u043C MathML \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u003Cmath\u003E, \u043D\u0435\u00A0%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/MathML.js");
diff --git a/localization/ru/MathMenu.js b/localization/ru/MathMenu.js
index 4607a77fff..67ad28d96e 100644
--- a/localization/ru/MathMenu.js
+++ b/localization/ru/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ru/MathMenu.js
+ *  /MathJax-v2/localization/ru/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0432\u00A0\u0432\u0438\u0434\u0435:",MathMLcode:"\u041A\u043E\u0434 MathML",OriginalMathML:"\u041E\u0440\u0438\u0433\u0438\u043D\u0430\u043B\u044C\u043D\u044B\u0439 MathML",TeXCommands:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B TeX",AsciiMathInput:"\u0412\u0432\u043E\u0434 AsciiMathML",Original:"\u0418\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u0432\u0438\u0434",ErrorMessage:"\u0421\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0435 \u043E\u0431 \u043E\u0448\u0438\u0431\u043A\u0435",Annotation:"\u0410\u043D\u043D\u043E\u0442\u0430\u0446\u0438\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0421\u043C\u044B\u0441\u043B\u043E\u0432\u0430\u044F \u0440\u0430\u0437\u043C\u0435\u0442\u043A\u0430",OpenMath:"OpenMath",texHints:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u043A\u043E\u043C\u043C\u0435\u043D\u0442\u0430\u0440\u0438\u0438 \u0438\u0437 TeX \u0432 MathML",Settings:"\u041D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 Math",ZoomTrigger:"\u0412\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0443\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u044F",Hover:"\u041F\u0440\u0438\u00A0\u043D\u0430\u0432\u0435\u0434\u0435\u043D\u0438\u0438 \u0443\u043A\u0430\u0437\u0430\u0442\u0435\u043B\u044F \u043C\u044B\u0448\u0438",Click:"\u041F\u0440\u0438 \u0449\u0435\u043B\u0447\u043A\u0435 \u043C\u044B\u0448\u044C\u044E",DoubleClick:"\u041F\u0440\u0438\u00A0\u0434\u0432\u043E\u0439\u043D\u043E\u043C \u0449\u0435\u043B\u0447\u043A\u0435 \u043C\u044B\u0448\u044C\u044E",NoZoom:"\u0411\u0435\u0437 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u044F",TriggerRequires:"\u041F\u0440\u0438\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 \u043A\u043B\u0430\u0432\u0438\u0448\u0435:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"\u0423\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u0435",Renderer:"\u041E\u0442\u0440\u0438\u0441\u043E\u0432\u0449\u0438\u043A \u0444\u043E\u0440\u043C\u0443\u043B:",MPHandles:"\u041F\u0440\u0435\u0434\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u044C \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0443 \u0449\u0435\u043B\u0447\u043A\u043E\u0432 \u043C\u044B\u0448\u044C\u044E MathPlayer",MenuEvents:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0433\u043E \u043C\u0435\u043D\u044E",MouseEvents:"\u0421\u043E\u0431\u044B\u0442\u0438\u044F \u043C\u044B\u0448\u0438",MenuAndMouse:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0433\u043E \u043C\u0435\u043D\u044E \u0438 \u0441\u043E\u0431\u044B\u0442\u0438\u044F \u043C\u044B\u0448\u0438",FontPrefs:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u044B \u0448\u0440\u0438\u0444\u0442\u043E\u0432",ForHTMLCSS:"\u0414\u043B\u044F HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435)",TeXWeb:"TeX (\u0438\u043D\u0442\u0435\u0440\u043D\u0435\u0442)",TeXImage:"TeX (\u0438\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435)",STIXWeb:"STIX (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",AsanaMathWeb:"Asana Math (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",GyrePagellaWeb:"Gyre Pagella (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",GyreTermesWeb:"Gyre Termes (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",LatinModernWeb:"Latin Modern (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",NeoEulerWeb:"Neo Euler (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E",Browser:"\u0411\u0440\u0430\u0443\u0437\u0435\u0440",Scale:"\u0423\u0432\u0435\u043B\u0438\u0447\u0438\u0442\u044C \u0432\u0441\u0435 \u0444\u043E\u0440\u043C\u0443\u043B\u044B\u2026",Discoverable:"\u041F\u043E\u0434\u0441\u0432\u0435\u0442\u0438\u0442\u044C \u043F\u043E\u0434\u00A0\u043C\u044B\u0448\u044C\u044E",Locale:"\u042F\u0437\u044B\u043A",LoadLocale:"\u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0441 URL-\u0430\u0434\u0440\u0435\u0441\u0430...",About:"\u041E MathJax",Help:"\u041F\u043E\u043C\u043E\u0449\u044C \u043F\u043E MathJax",localTeXfonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432 TeX",webTeXfonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u043E\u0432 TeX",imagefonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432",localSTIXfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0448\u0440\u0438\u0444\u0442\u043E\u0432 STIX \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u043C\u0430\u0448\u0438\u043D\u0435",webSVGfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0441\u0435\u0442\u0435\u0432\u044B\u0445 SVG-\u0448\u0440\u0438\u0444\u0442\u043E\u0432",genericfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C Unicod-\u0448\u0440\u0438\u0444\u0442\u043E\u0432 \u043F\u043E\u00A0\u0443\u043C\u043E\u043B\u0447\u0430\u043D\u0438\u044E \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u043C\u0430\u0448\u0438\u043D\u0435",wofforotffonts:"\u0428\u0440\u0438\u0444\u0442\u044B WOFF \u0438\u043B\u0438\u00A0OTF",eotffonts:"EOT-\u0448\u0440\u0438\u0444\u0442\u044B",svgfonts:"SVG-\u0448\u0440\u0438\u0444\u0442\u044B",WebkitNativeMMLWarning:"\u041F\u043E\u0445\u043E\u0436\u0435, \u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u0441\u043F\u043E\u0441\u043E\u0431\u0435\u043D \u0441\u0430\u043C \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u044C MathML, \u043F\u043E\u044D\u0442\u043E\u043C\u0443\u00A0\u043F\u0435\u0440\u0435\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C MathML \u043C\u043E\u0436\u0435\u0442 \u0441\u0434\u0435\u043B\u0430\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0435\u0447\u0438\u0442\u0430\u0435\u043C\u044B\u043C\u0438",MSIENativeMMLWarning:"Internet Explorer \u043C\u043E\u0436\u0435\u0442 \u043E\u0442\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u044C MathML \u0442\u043E\u043B\u044C\u043A\u043E \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \u043F\u043B\u0430\u0433\u0438\u043D\u0430 MathPlayer.",OperaNativeMMLWarning:"Opera \u0442\u043E\u043B\u044C\u043A\u043E \u043E\u0433\u0440\u0430\u043D\u0438\u0447\u0435\u043D\u043D\u043E \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 MathML, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 MathML \u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u0431\u0443\u0434\u0435\u0442 \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u043F\u043B\u043E\u0445\u043E.",SafariNativeMMLWarning:"\u0412\u0441\u0442\u0440\u043E\u0435\u043D\u043D\u044B\u0439 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C MathML \u0412\u0430\u0448\u0435\u0433\u043E \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430 \u043D\u0435\u00A0\u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 \u0432\u0441\u0435\u0445 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C\u044B\u0445 MathJax \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0435\u0439, \u043F\u043E\u044D\u0442\u043E\u043C\u0443\u00A0\u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u043C\u043E\u0436\u0435\u0442 \u0431\u044B\u0442\u044C\u00A0\u0432\u044B\u0432\u0435\u0434\u0435\u043D\u0430 \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E.",FirefoxNativeMMLWarning:"\u0412\u0441\u0442\u0440\u043E\u0435\u043D\u043D\u044B\u0439 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C MathML \u0412\u0430\u0448\u0435\u0433\u043E \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430 \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 \u043D\u0435\u00A0\u0432\u0441\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C\u044B\u0435 MathJax \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u043C\u043E\u0436\u0435\u0442 \u043F\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0442\u044C\u0441\u044F \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E.",MSIESVGWarning:"SVG \u043D\u0435\u00A0\u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442\u0441\u044F Internet Explorer'\u043E\u043C \u0434\u043E\u00A0IE9 \u0438\u00A0\u0432\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 \u044D\u043C\u0443\u043B\u044F\u0446\u0438\u0438 \u0432\u0435\u0440\u0441\u0438\u0438 IE8 \u0438\u043B\u0438\u00A0\u043D\u0438\u0436\u0435. \u041F\u0435\u0440\u0435\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C SVG \u043C\u043E\u0436\u0435\u0442 \u0432\u044B\u0437\u0432\u0430\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E\u0435 \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435 \u043D\u0435\u043A\u043E\u0442\u043E\u0440\u044B\u0445 \u0444\u043E\u0440\u043C\u0443\u043B.",LoadURL:"\u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0435 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F \u043F\u043E\u00A0\u0430\u0434\u0440\u0435\u0441\u0443:",BadURL:"URL \u0434\u043E\u043B\u0436\u0435\u043D \u0443\u043A\u0430\u0437\u044B\u0432\u0430\u0442\u044C \u043D\u0430\u00A0\u0444\u0430\u0439\u043B JavaScript, \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u044F\u044E\u0449\u0438\u0439 \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0435 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F. \u0424\u0430\u0439\u043B\u044B JavaScript \u043E\u043A\u0430\u043D\u0447\u0438\u0432\u0430\u044E\u0442\u0441\u044F \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043D\u0438\u0435\u043C \u00AB.js\u00BB",BadData:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0445 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0439 \u043F\u043E\u00A0\u0430\u0434\u0440\u0435\u0441\u0443 %1 \u043D\u0435\u00A0\u0443\u0434\u0430\u043B\u0430\u0441\u044C",SwitchAnyway:"\u0412\u0441\u0451 \u0440\u0430\u0432\u043D\u043E \u0441\u043C\u0435\u043D\u0438\u0442\u044C \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C \u043E\u0442\u0440\u0438\u0441\u043E\u0432\u043A\u0438 \u0444\u043E\u0440\u043C\u0443\u043B?\n\n(\u041D\u0430\u0436\u043C\u0438\u0442\u0435 OK \u0434\u043B\u044F\u00A0\u0441\u043C\u0435\u043D\u044B, \u041E\u0442\u043C\u0435\u043D\u0430, \u0447\u0442\u043E\u0431\u044B\u00A0\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u044C \u043F\u0440\u0435\u0436\u043D\u0438\u0439)",ScaleMath:"\u0418\u0437\u043C\u0435\u043D\u0438\u0442\u044C \u043C\u0430\u0441\u0448\u0442\u0430\u0431 \u0432\u0441\u0435\u0445 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0432\u044B\u0440\u0430\u0436\u0435\u043D\u0438\u0439 (\u043F\u043E \u0441\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u044E \u0441 \u043E\u043A\u0440\u0443\u0436\u0430\u044E\u0449\u0438\u043C \u0442\u0435\u043A\u0441\u0442\u043E\u043C) \u043D\u0430",NonZeroScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u043D\u0435 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0440\u0430\u0432\u0435\u043D \u043D\u0443\u043B\u044E",PercentScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0432\u044B\u0440\u0430\u0436\u0435\u043D \u0432 \u043F\u0440\u043E\u0446\u0435\u043D\u0442\u0430\u0445 (\u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, 120%%)",IE8warning:"\u042D\u0442\u043E \u043E\u0442\u043A\u043B\u044E\u0447\u0438\u0442 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E MathJax \u0438\u00A0\u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0430 \u0443\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u044F, \u043D\u043E\u00A0\u043C\u0435\u043D\u044E \u043F\u043E-\u043F\u0440\u0435\u0436\u043D\u0435\u043C\u0443 \u0431\u0443\u0434\u0435\u0442 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E \u043F\u043E\u00A0\u0449\u0435\u043B\u0447\u043A\u0443 \u043C\u044B\u0448\u044C\u044E \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Alt.\n\n\u0414\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043B\u044C\u043D\u043E \u0438\u0437\u043C\u0435\u043D\u0438\u0442\u044C \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 MathPlayer?",IE9warning:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E MathJax \u0431\u0443\u0434\u0435\u0442 \u043E\u0442\u043A\u043B\u044E\u0447\u0435\u043D\u043E, \u043D\u043E\u00A0\u043F\u043E \u0449\u0435\u043B\u0447\u043A\u0443 \u043C\u044B\u0448\u044C\u044E \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Alt \u043E\u043D\u043E \u043F\u043E-\u043F\u0440\u0435\u0436\u043D\u0435\u043C\u0443 \u0431\u0443\u0434\u0435\u0442 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E.",NoOriginalForm:"\u041D\u0435\u0442 \u0438\u0441\u0445\u043E\u0434\u043D\u043E\u0433\u043E \u043A\u043E\u0434\u0430",Close:"\u0417\u0430\u043A\u0440\u044B\u0442\u044C",EqSource:"\u0418\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B",CloseAboutDialog:'\u0417\u0430\u043A\u0440\u044B\u0442\u044C \u0434\u0438\u0430\u043B\u043E\u0433 "\u041E \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u043C\u0435"',FastPreview:"\u0411\u044B\u0441\u0442\u0440\u044B\u0439 \u041F\u0440\u043E\u0441\u043C\u043E\u0442\u0440",AssistiveMML:"\u0412\u0441\u043F\u043E\u043C\u043E\u0433\u0430\u0442\u0435\u043B\u044C\u043D\u044B\u0439 MathML",InTabOrder:"\u0412\u043A\u043B\u044E\u0447\u0430\u0442\u044C \u0432 \u043F\u043E\u0440\u044F\u0434\u043A\u0435 \u0442\u0430\u0431\u0443\u043B\u044F\u0446\u0438\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/MathMenu.js");
+MathJax.Localization.addTranslation("ru","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0432\u00A0\u0432\u0438\u0434\u0435:",MathMLcode:"\u041A\u043E\u0434 MathML",OriginalMathML:"\u041E\u0440\u0438\u0433\u0438\u043D\u0430\u043B\u044C\u043D\u044B\u0439 MathML",TeXCommands:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B TeX",AsciiMathInput:"\u0412\u0432\u043E\u0434 AsciiMathML",Original:"\u0418\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u0432\u0438\u0434",ErrorMessage:"\u0421\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0435 \u043E\u0431 \u043E\u0448\u0438\u0431\u043A\u0435",Annotation:"\u0410\u043D\u043D\u043E\u0442\u0430\u0446\u0438\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0421\u043C\u044B\u0441\u043B\u043E\u0432\u0430\u044F \u0440\u0430\u0437\u043C\u0435\u0442\u043A\u0430",OpenMath:"OpenMath",texHints:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u043A\u043E\u043C\u043C\u0435\u043D\u0442\u0430\u0440\u0438\u0438 \u0438\u0437 TeX \u0432 MathML",Settings:"\u041D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 Math",ZoomTrigger:"\u0412\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0443\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u044F",Hover:"\u041F\u0440\u0438\u00A0\u043D\u0430\u0432\u0435\u0434\u0435\u043D\u0438\u0438 \u0443\u043A\u0430\u0437\u0430\u0442\u0435\u043B\u044F \u043C\u044B\u0448\u0438",Click:"\u041F\u0440\u0438 \u0449\u0435\u043B\u0447\u043A\u0435 \u043C\u044B\u0448\u044C\u044E",DoubleClick:"\u041F\u0440\u0438\u00A0\u0434\u0432\u043E\u0439\u043D\u043E\u043C \u0449\u0435\u043B\u0447\u043A\u0435 \u043C\u044B\u0448\u044C\u044E",NoZoom:"\u0411\u0435\u0437 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u044F",TriggerRequires:"\u041F\u0440\u0438\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 \u043A\u043B\u0430\u0432\u0438\u0448\u0435:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"\u0423\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u0435",Renderer:"\u041E\u0442\u0440\u0438\u0441\u043E\u0432\u0449\u0438\u043A \u0444\u043E\u0440\u043C\u0443\u043B:",MPHandles:"\u041F\u0440\u0435\u0434\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u044C \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0443 \u0449\u0435\u043B\u0447\u043A\u043E\u0432 \u043C\u044B\u0448\u044C\u044E MathPlayer",MenuEvents:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0433\u043E \u043C\u0435\u043D\u044E",MouseEvents:"\u0421\u043E\u0431\u044B\u0442\u0438\u044F \u043C\u044B\u0448\u0438",MenuAndMouse:"\u041A\u043E\u043C\u0430\u043D\u0434\u044B \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0433\u043E \u043C\u0435\u043D\u044E \u0438 \u0441\u043E\u0431\u044B\u0442\u0438\u044F \u043C\u044B\u0448\u0438",FontPrefs:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u044B \u0448\u0440\u0438\u0444\u0442\u043E\u0432",ForHTMLCSS:"\u0414\u043B\u044F HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435)",TeXWeb:"TeX (\u0438\u043D\u0442\u0435\u0440\u043D\u0435\u0442)",TeXImage:"TeX (\u0438\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0435)",STIXWeb:"STIX (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",AsanaMathWeb:"Asana Math (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",GyrePagellaWeb:"Gyre Pagella (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",GyreTermesWeb:"Gyre Termes (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",LatinModernWeb:"Latin Modern (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",NeoEulerWeb:"Neo Euler (\u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E",Browser:"\u0411\u0440\u0430\u0443\u0437\u0435\u0440",Scale:"\u0423\u0432\u0435\u043B\u0438\u0447\u0438\u0442\u044C \u0432\u0441\u0435 \u0444\u043E\u0440\u043C\u0443\u043B\u044B\u2026",Discoverable:"\u041F\u043E\u0434\u0441\u0432\u0435\u0442\u0438\u0442\u044C \u043F\u043E\u0434\u00A0\u043C\u044B\u0448\u044C\u044E",Locale:"\u042F\u0437\u044B\u043A",LoadLocale:"\u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u0441 URL-\u0430\u0434\u0440\u0435\u0441\u0430...",About:"\u041E MathJax",Help:"\u041F\u043E\u043C\u043E\u0449\u044C \u043F\u043E MathJax",localTeXfonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u044B\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432 TeX",webTeXfonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u043E\u0432 TeX",imagefonts:"\u0441 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432",localSTIXfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0448\u0440\u0438\u0444\u0442\u043E\u0432 STIX \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u043C\u0430\u0448\u0438\u043D\u0435",webSVGfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C \u0441\u0435\u0442\u0435\u0432\u044B\u0445 SVG-\u0448\u0440\u0438\u0444\u0442\u043E\u0432",genericfonts:"\u0441\u00A0\u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435\u043C Unicod-\u0448\u0440\u0438\u0444\u0442\u043E\u0432 \u043F\u043E\u00A0\u0443\u043C\u043E\u043B\u0447\u0430\u043D\u0438\u044E \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u043C\u0430\u0448\u0438\u043D\u0435",wofforotffonts:"\u0428\u0440\u0438\u0444\u0442\u044B WOFF \u0438\u043B\u0438\u00A0OTF",eotffonts:"EOT-\u0448\u0440\u0438\u0444\u0442\u044B",svgfonts:"SVG-\u0448\u0440\u0438\u0444\u0442\u044B",WebkitNativeMMLWarning:"\u041F\u043E\u0445\u043E\u0436\u0435, \u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u0441\u043F\u043E\u0441\u043E\u0431\u0435\u043D \u0441\u0430\u043C \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u044C MathML, \u043F\u043E\u044D\u0442\u043E\u043C\u0443\u00A0\u043F\u0435\u0440\u0435\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C MathML \u043C\u043E\u0436\u0435\u0442 \u0441\u0434\u0435\u043B\u0430\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0435\u0447\u0438\u0442\u0430\u0435\u043C\u044B\u043C\u0438",MSIENativeMMLWarning:"Internet Explorer \u043C\u043E\u0436\u0435\u0442 \u043E\u0442\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u044C MathML \u0442\u043E\u043B\u044C\u043A\u043E \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \u043F\u043B\u0430\u0433\u0438\u043D\u0430 MathPlayer.",OperaNativeMMLWarning:"Opera \u0442\u043E\u043B\u044C\u043A\u043E \u043E\u0433\u0440\u0430\u043D\u0438\u0447\u0435\u043D\u043D\u043E \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 MathML, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 MathML \u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u0431\u0443\u0434\u0435\u0442 \u0432\u044B\u0432\u043E\u0434\u0438\u0442\u044C\u0441\u044F \u043F\u043B\u043E\u0445\u043E.",SafariNativeMMLWarning:"\u0412\u0441\u0442\u0440\u043E\u0435\u043D\u043D\u044B\u0439 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C MathML \u0412\u0430\u0448\u0435\u0433\u043E \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430 \u043D\u0435\u00A0\u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 \u0432\u0441\u0435\u0445 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C\u044B\u0445 MathJax \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0435\u0439, \u043F\u043E\u044D\u0442\u043E\u043C\u0443\u00A0\u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u043C\u043E\u0436\u0435\u0442 \u0431\u044B\u0442\u044C\u00A0\u0432\u044B\u0432\u0435\u0434\u0435\u043D\u0430 \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E.",FirefoxNativeMMLWarning:"\u0412\u0441\u0442\u0440\u043E\u0435\u043D\u043D\u044B\u0439 \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C MathML \u0412\u0430\u0448\u0435\u0433\u043E \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430 \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 \u043D\u0435\u00A0\u0432\u0441\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u043C\u044B\u0435 MathJax \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u043E\u0441\u0442\u0438, \u043F\u043E\u044D\u0442\u043E\u043C\u0443 \u0447\u0430\u0441\u0442\u044C \u0444\u043E\u0440\u043C\u0443\u043B \u043C\u043E\u0436\u0435\u0442 \u043F\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0442\u044C\u0441\u044F \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E.",MSIESVGWarning:"SVG \u043D\u0435\u00A0\u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442\u0441\u044F Internet Explorer'\u043E\u043C \u0434\u043E\u00A0IE9 \u0438\u00A0\u0432\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 \u044D\u043C\u0443\u043B\u044F\u0446\u0438\u0438 \u0432\u0435\u0440\u0441\u0438\u0438 IE8 \u0438\u043B\u0438\u00A0\u043D\u0438\u0436\u0435. \u041F\u0435\u0440\u0435\u043A\u043B\u044E\u0447\u0435\u043D\u0438\u0435 \u0432\u00A0\u0440\u0435\u0436\u0438\u043C SVG \u043C\u043E\u0436\u0435\u0442 \u0432\u044B\u0437\u0432\u0430\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E\u0435 \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u0435 \u043D\u0435\u043A\u043E\u0442\u043E\u0440\u044B\u0445 \u0444\u043E\u0440\u043C\u0443\u043B.",LoadURL:"\u0417\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0435 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F \u043F\u043E\u00A0\u0430\u0434\u0440\u0435\u0441\u0443:",BadURL:"URL \u0434\u043E\u043B\u0436\u0435\u043D \u0443\u043A\u0430\u0437\u044B\u0432\u0430\u0442\u044C \u043D\u0430\u00A0\u0444\u0430\u0439\u043B JavaScript, \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u044F\u044E\u0449\u0438\u0439 \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0435 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u044F. \u0424\u0430\u0439\u043B\u044B JavaScript \u043E\u043A\u0430\u043D\u0447\u0438\u0432\u0430\u044E\u0442\u0441\u044F \u0440\u0430\u0441\u0448\u0438\u0440\u0435\u043D\u0438\u0435\u043C \u00AB.js\u00BB",BadData:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u043F\u0435\u0440\u0435\u0432\u0435\u0434\u0451\u043D\u043D\u044B\u0445 \u0441\u043E\u043E\u0431\u0449\u0435\u043D\u0438\u0439 \u043F\u043E\u00A0\u0430\u0434\u0440\u0435\u0441\u0443 %1 \u043D\u0435\u00A0\u0443\u0434\u0430\u043B\u0430\u0441\u044C",SwitchAnyway:"\u0412\u0441\u0451 \u0440\u0430\u0432\u043D\u043E \u0441\u043C\u0435\u043D\u0438\u0442\u044C \u043C\u0435\u0445\u0430\u043D\u0438\u0437\u043C \u043E\u0442\u0440\u0438\u0441\u043E\u0432\u043A\u0438 \u0444\u043E\u0440\u043C\u0443\u043B?\n\n(\u041D\u0430\u0436\u043C\u0438\u0442\u0435 OK \u0434\u043B\u044F\u00A0\u0441\u043C\u0435\u043D\u044B, \u041E\u0442\u043C\u0435\u043D\u0430, \u0447\u0442\u043E\u0431\u044B\u00A0\u043E\u0441\u0442\u0430\u0432\u0438\u0442\u044C \u043F\u0440\u0435\u0436\u043D\u0438\u0439)",ScaleMath:"\u0418\u0437\u043C\u0435\u043D\u0438\u0442\u044C \u043C\u0430\u0441\u0448\u0442\u0430\u0431 \u0432\u0441\u0435\u0445 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0432\u044B\u0440\u0430\u0436\u0435\u043D\u0438\u0439 (\u043F\u043E \u0441\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u044E \u0441 \u043E\u043A\u0440\u0443\u0436\u0430\u044E\u0449\u0438\u043C \u0442\u0435\u043A\u0441\u0442\u043E\u043C) \u043D\u0430",NonZeroScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u043D\u0435 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0440\u0430\u0432\u0435\u043D \u043D\u0443\u043B\u044E",PercentScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0432\u044B\u0440\u0430\u0436\u0435\u043D \u0432 \u043F\u0440\u043E\u0446\u0435\u043D\u0442\u0430\u0445 (\u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440, 120%%)",IE8warning:"\u042D\u0442\u043E \u043E\u0442\u043A\u043B\u044E\u0447\u0438\u0442 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E MathJax \u0438\u00A0\u0441\u0440\u0435\u0434\u0441\u0442\u0432\u0430 \u0443\u0432\u0435\u043B\u0438\u0447\u0435\u043D\u0438\u044F, \u043D\u043E\u00A0\u043C\u0435\u043D\u044E \u043F\u043E-\u043F\u0440\u0435\u0436\u043D\u0435\u043C\u0443 \u0431\u0443\u0434\u0435\u0442 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E \u043F\u043E\u00A0\u0449\u0435\u043B\u0447\u043A\u0443 \u043C\u044B\u0448\u044C\u044E \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Alt.\n\n\u0414\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043B\u044C\u043D\u043E \u0438\u0437\u043C\u0435\u043D\u0438\u0442\u044C \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438 MathPlayer?",IE9warning:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u043E\u0435 \u043C\u0435\u043D\u044E MathJax \u0431\u0443\u0434\u0435\u0442 \u043E\u0442\u043A\u043B\u044E\u0447\u0435\u043D\u043E, \u043D\u043E\u00A0\u043F\u043E \u0449\u0435\u043B\u0447\u043A\u0443 \u043C\u044B\u0448\u044C\u044E \u0441\u00A0\u043D\u0430\u0436\u0430\u0442\u043E\u0439 Alt \u043E\u043D\u043E \u043F\u043E-\u043F\u0440\u0435\u0436\u043D\u0435\u043C\u0443 \u0431\u0443\u0434\u0435\u0442 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E.",NoOriginalForm:"\u041D\u0435\u0442 \u0438\u0441\u0445\u043E\u0434\u043D\u043E\u0433\u043E \u043A\u043E\u0434\u0430",Close:"\u0417\u0430\u043A\u0440\u044B\u0442\u044C",EqSource:"\u0418\u0441\u0445\u043E\u0434\u043D\u044B\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B",CloseAboutDialog:'\u0417\u0430\u043A\u0440\u044B\u0442\u044C \u0434\u0438\u0430\u043B\u043E\u0433 "\u041E \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u043C\u0435"',FastPreview:"\u0411\u044B\u0441\u0442\u0440\u044B\u0439 \u041F\u0440\u043E\u0441\u043C\u043E\u0442\u0440",AssistiveMML:"\u0412\u0441\u043F\u043E\u043C\u043E\u0433\u0430\u0442\u0435\u043B\u044C\u043D\u044B\u0439 MathML",InTabOrder:"\u0412\u043A\u043B\u044E\u0447\u0430\u0442\u044C \u0432 \u043F\u043E\u0440\u044F\u0434\u043A\u0435 \u0442\u0430\u0431\u0443\u043B\u044F\u0446\u0438\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/MathMenu.js");
diff --git a/localization/ru/TeX.js b/localization/ru/TeX.js
index 34e0ff8abd..f35439ca8c 100644
--- a/localization/ru/TeX.js
+++ b/localization/ru/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ru/TeX.js
+ *  /MathJax-v2/localization/ru/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u041B\u0438\u0448\u043D\u044F\u044F \u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430 \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u044E\u0449\u0430\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",ExtraCloseMissingOpen:"\u041B\u0438\u0448\u043D\u044F\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430 \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u044E\u0449\u0430\u044F \u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",MissingLeftExtraRight:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \\left \u0438\u043B\u0438 \u043B\u0438\u0448\u043D\u0438\u0439 \\right",MissingScript:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043D\u0430\u0434\u0441\u0442\u0440\u043E\u0447\u043D\u044B\u0439 \u0438\u043B\u0438 \u043F\u043E\u0434\u0441\u0442\u0440\u043E\u0447\u043D\u044B\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442",ExtraLeftMissingRight:"\u041B\u0438\u0448\u043D\u0438\u0439 \\left \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \\right",Misplaced:"%1 \u043D\u0435\u00A0\u043D\u0430\u00A0\u043C\u0435\u0441\u0442\u0435",MissingOpenForSub:"\u041D\u0435\u0442\u00A0\u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0435\u0439 \u0441\u043A\u043E\u0431\u043A\u0438 \u0432\u00A0\u043D\u0438\u0436\u043D\u0435\u043C \u0438\u043D\u0434\u0435\u043A\u0441\u0435",MissingOpenForSup:"\u041D\u0435\u0442\u00A0\u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0435\u0439 \u0441\u043A\u043E\u0431\u043A\u0438 \u0432\u00A0\u043D\u0438\u0436\u043D\u0435\u043C \u0438\u043D\u0434\u0435\u043A\u0441\u0435",AmbiguousUseOf:"\u041D\u0435\u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u043E\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435 %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u043A\u0440\u044B\u0442\u043E \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \\end{%2}",EnvMissingEnd:"\u041F\u0440\u043E\u043F\u0443\u0449\u0435\u043D \\end{%1}",MissingBoxFor:"\u0423\u00A0%1 \u043D\u0435\u0442 \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u043C\u043E\u0433\u043E",MissingCloseBrace:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",UndefinedControlSequence:"\u041D\u0435\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0451\u043D\u043D\u0430\u044F \u0443\u043F\u0440\u0430\u0432\u043B\u044F\u044E\u0449\u0430\u044F \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u043D\u043E\u0441\u0442\u044C %1",DoubleExponent:"\u0414\u0432\u043E\u0439\u043D\u0430\u044F \u044D\u043A\u0441\u043F\u043E\u043D\u0435\u043D\u0442\u0430: \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0439\u0442\u0435 \u0441\u043A\u043E\u0431\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u0438\u044F",DoubleSubscripts:"\u0414\u0432\u0430 \u043D\u0438\u0436\u043D\u0438\u0445 \u0438\u043D\u0434\u0435\u043A\u0441\u0430 \u043F\u043E\u0434\u0440\u044F\u0434: \u043F\u043E\u0441\u0442\u0430\u0432\u044C\u0442\u0435 \u0444\u0438\u0433\u0443\u0440\u043D\u044B\u0435 \u0441\u043A\u043E\u0431\u043A\u0438",DoubleExponentPrime:"\u0428\u0442\u0440\u0438\u0445 \u043F\u043E\u0441\u043B\u0435\u00A0\u0432\u0435\u0440\u0445\u043D\u0435\u0433\u043E \u0438\u043D\u0434\u0435\u043A\u0441\u0430: \u0443\u0442\u043E\u0447\u043D\u0438\u0442\u0435, \u043A\u00A0\u0447\u0435\u043C\u0443 \u043E\u043D \u043E\u0442\u043D\u043E\u0441\u0438\u0442\u0441\u044F, \u0444\u0438\u0433\u0443\u0440\u043D\u044B\u043C\u0438 \u0441\u043A\u043E\u0431\u043A\u0430\u043C\u0438",CantUseHash1:"\u0412\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 \u00ABmath\u00BB \u043D\u0435\u043B\u044C\u0437\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u044C \u0441\u0438\u043C\u0432\u043E\u043B \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0430 \u043C\u0430\u043A\u0440\u043E\u0441\u0430 #",MisplacedMiddle:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0432\u043D\u0443\u0442\u0440\u0438 \\left \u0438\u00A0\\right",MisplacedLimits:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0441\u00A0\u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u043C\u0438",MisplacedMoveRoot:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0432\u00A0\u043A\u043E\u0440\u043D\u044F\u0445",MultipleCommand:"\u041D\u0435\u0441\u043A\u043E\u043B\u044C\u043A\u043E %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0446\u0435\u043B\u044B\u043C \u0447\u0438\u0441\u043B\u043E\u043C",NotMathMLToken:"%1\u00A0\u2014 \u043D\u0435\u00A0\u0441\u0438\u043C\u0432\u043E\u043B MML",InvalidMathMLAttr:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 MathML: %1",UnknownAttrForElement:"%1\u00A0\u2014 \u043D\u0435\u00A0\u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0442\u0435\u0433\u0430 MML %2",MaxMacroSub1:"\u041F\u0440\u0435\u0432\u044B\u0448\u0435\u043D\u043E \u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u043E\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0430: \u043D\u0435\u00A0\u0440\u0435\u043A\u0443\u0440\u0441\u0438\u044F\u00A0\u043B\u0438 \u044D\u0442\u043E?",MaxMacroSub2:"\u041F\u0440\u0435\u0432\u044B\u0448\u0435\u043D\u043E \u043F\u0440\u0435\u0434\u0435\u043B\u044C\u043D\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u043E\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A MathJax. \u041D\u0435\u0442\u00A0\u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0438 \u0432\u00A0\u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0438 LaTeX?",MissingArgFor:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1",ExtraAlignTab:"\u0421\u043B\u0438\u0448\u043A\u043E\u043C \u043C\u043D\u043E\u0433\u043E \u0441\u0442\u043E\u043B\u0431\u0446\u043E\u0432 \u0432\u00A0\\cases",BracketMustBeDimension:"\u0420\u0430\u0437\u0434\u0435\u043B\u0438\u0442\u0435\u043B\u044C (?) %1 \u043D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C",InvalidEnv:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E\u0435 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0435 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u044F \u00AB%1\u00BB",UnknownEnv:"\u041D\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043D\u043E\u0435 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0435 \u00AB%1\u00BB",ExtraCloseLooking:"\u041B\u0438\u0448\u043D\u044F\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430, \u043A\u043E\u0433\u0434\u0430 \u043E\u0436\u0438\u0434\u0430\u043B\u0430\u0441\u044C %1",MissingCloseBracket:"\u041D\u0435 \u0443\u0434\u0430\u043B\u043E\u0441\u044C \u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0443\u044E ']' \u0434\u043B\u044F \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0430 \u043A %1",MissingOrUnrecognizedDelim:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0438\u043B\u0438 \u043D\u0435 \u0440\u0430\u0441\u043F\u043E\u0437\u043D\u0430\u043D \u0440\u0430\u0437\u0434\u0435\u043B\u0438\u0442\u0435\u043B\u044C \u0434\u043B\u044F %1",MissingDimOrUnits:"\u041D\u0435\u0442\u00A0\u0435\u0434\u0438\u043D\u0438\u0446\u044B \u0438\u0437\u043C\u0435\u0440\u0435\u043D\u0438\u044F \u0432\u00A0%1",TokenNotFoundForCommand:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 %1 \u0434\u043B\u044F %2",MathNotTerminated:"\u041D\u0435\u0437\u0430\u043A\u0440\u044B\u0442\u0430\u044F \u0444\u043E\u0440\u043C\u0443\u043B\u0430 \u0432\u00A0\\text{}",IllegalMacroParam:"\u0421\u0441\u044B\u043B\u043A\u0430 \u043D\u0430\u00A0\u043D\u0435\u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044E\u0449\u0438\u0439 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u043C\u0430\u043A\u0440\u043E\u0441\u0430",MaxBufferSize:"\u0418\u0441\u0447\u0435\u0440\u043F\u0430\u043D \u0432\u043D\u0443\u0442\u0440\u0435\u043D\u043D\u0438\u0439 \u0431\u0443\u0444\u0435\u0440 MathJax: \u043D\u0435\u0442\u00A0\u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u043E\u0433\u043E \u043C\u0430\u043A\u0440\u043E\u0441\u0430?",CommandNotAllowedInEnv:"%1 \u043D\u0435\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u0435\u043D \u0432\u00A0\u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0438 %2",MultipleLabel:"\u041C\u0435\u0442\u043A\u0430 \u00AB%1\u00BB \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0430 \u043D\u0435\u0441\u043A\u043E\u043B\u044C\u043A\u043E \u0440\u0430\u0437",CommandAtTheBeginingOfLine:"%1 \u0434\u043E\u043B\u0436\u043D\u043E \u0431\u044B\u0442\u044C \u0432\u00A0\u043D\u0430\u0447\u0430\u043B\u0435 \u0441\u0442\u0440\u043E\u043A\u0438",IllegalAlign:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0432\u044B\u0440\u0430\u0432\u043D\u0438\u0432\u0430\u043D\u0438\u0435 \u0432\u00A0%1",BadMathStyleFor:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0441\u0442\u0438\u043B\u044C \u0434\u043B\u044F\u00A0%1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043D\u0430\u0442\u0443\u0440\u0430\u043B\u044C\u043D\u044B\u043C \u0447\u0438\u0441\u043B\u043E\u043C",ErroneousNestingEq:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0432\u043B\u043E\u0436\u0435\u043D\u0438\u0435 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440",MultlineRowsOneCol:"\u0412 \u0441\u0442\u0440\u043E\u043A\u0430\u0445 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u044F %1 \u0434\u043E\u043B\u0436\u043D\u043E \u0431\u044B\u0442\u044C \u043F\u043E\u00A0\u043E\u0434\u043D\u043E\u043C\u0443 \u0441\u0442\u043E\u043B\u0431\u0446\u0443",MultipleBBoxProperty:"%1 \u0443\u043A\u0430\u0437\u0430\u043D\u043E \u0434\u0432\u0430\u0436\u0434\u044B \u0432 %2",InvalidBBoxProperty:"'%1'\u00A0\u2014 \u043D\u0435\u00A0\u0446\u0432\u0435\u0442, \u0432\u043D\u0443\u0442\u0440\u0435\u043D\u043D\u0438\u0439 \u043E\u0442\u0441\u0442\u0443\u043F \u0438\u043B\u0438\u00A0\u0441\u0442\u0438\u043B\u044C",ExtraEndMissingBegin:"\u041B\u0438\u0448\u043D\u0435\u0435 %1 \u0438\u043B\u0438\u00A0\u043F\u0440\u043E\u043F\u0443\u0449\u0435\u043D\u043E \\begingroup",GlobalNotFollowedBy:"\u041F\u043E\u0441\u043B\u0435 %1 \u043D\u0435\u0442 \\let, \\def \u0438\u043B\u0438\u00A0\\newcommand",UndefinedColorModel:"\u0426\u0432\u0435\u0442\u043E\u0432\u0430\u044F \u043C\u043E\u0434\u0435\u043B\u044C \u00AB%1\u00BB \u043D\u0435\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0430",ModelArg1:"\u0426\u0432\u0435\u0442\u043E\u0432\u0430\u044F \u043C\u043E\u0434\u0435\u043B\u044C %1 \u0442\u0440\u0435\u0431\u0443\u0435\u0442 \u0442\u0440\u0451\u0445\u00A0\u043A\u043E\u043C\u043F\u043E\u043D\u0435\u043D\u0442\u043E\u0432",InvalidDecimalNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0434\u0435\u0441\u044F\u0442\u0438\u0447\u043D\u043E\u0435 \u0447\u0438\u0441\u043B\u043E",ModelArg2:"\u0417\u043D\u0430\u0447\u0435\u043D\u0438\u044F \u043A\u043E\u043C\u043F\u043E\u043D\u0435\u043D\u0442\u043E\u0432 \u0446\u0432\u0435\u0442\u0430 \u0432\u00A0\u043C\u043E\u0434\u0435\u043B\u0438 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0431\u044B\u0442\u044C \u043C\u0435\u0436\u0434\u0443 %2 \u0438 %3",InvalidNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E",NewextarrowArg1:"\u041F\u0435\u0440\u0432\u044B\u043C \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u043C %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043D\u0430\u0431\u043E\u0440 \u043A\u043E\u043C\u0430\u043D\u0434",NewextarrowArg2:"\u0412\u0442\u043E\u0440\u044B\u043C \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u043C %1 \u0434\u043E\u043B\u0436\u043D\u0430 \u0431\u044B\u0442\u044C \u043F\u0430\u0440\u0430 \u0446\u0435\u043B\u044B\u0445 \u0447\u0438\u0441\u0435\u043B, \u0440\u0430\u0437\u0434\u0435\u043B\u0451\u043D\u043D\u0430\u044F \u0437\u0430\u043F\u044F\u0442\u043E\u0439",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u044C\u0438\u043C \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u043C %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043A\u043E\u0434 \u0441\u0438\u043C\u0432\u043E\u043B\u0430 \u042E\u043D\u0438\u043A\u043E\u0434",NoClosingChar:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0438\u0439 \u0441\u0438\u043C\u0432\u043E\u043B %1",IllegalControlSequenceName:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0435 \u043A\u043E\u043C\u0430\u043D\u0434\u044B %1",IllegalParamNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u0432 %1",MissingCS:"\u041F\u043E\u0441\u043B\u0435 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0438\u0434\u0442\u0438 \u043A\u043E\u043C\u0430\u043D\u0434\u044B",CantUseHash2:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435 # \u0432\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u0438 %1",SequentialParam:"\u041D\u043E\u043C\u0435\u0440\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u0432 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0431\u044B\u0442\u044C\u00A0\u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u043D\u044B",MissingReplacementString:"\u041D\u0435\u0442\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u044F %1",MismatchUseDef:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u044B\u0439 \u0432\u044B\u0437\u043E\u0432 %1",RunawayArgument:"\u0412\u00A0\u0432\u044B\u0437\u043E\u0432\u0435 %1 \u043F\u0440\u043E\u043F\u0443\u0449\u0435\u043D \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440?",NoClosingDelim:"%1 \u043D\u0435 \u0437\u0430\u043A\u0440\u044B\u0442\u043E"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/TeX.js");
+MathJax.Localization.addTranslation("ru","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u041B\u0438\u0448\u043D\u044F\u044F \u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430 \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u044E\u0449\u0430\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",ExtraCloseMissingOpen:"\u041B\u0438\u0448\u043D\u044F\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430 \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u044E\u0449\u0430\u044F \u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",MissingLeftExtraRight:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \\left \u0438\u043B\u0438 \u043B\u0438\u0448\u043D\u0438\u0439 \\right",MissingScript:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u043D\u0430\u0434\u0441\u0442\u0440\u043E\u0447\u043D\u044B\u0439 \u0438\u043B\u0438 \u043F\u043E\u0434\u0441\u0442\u0440\u043E\u0447\u043D\u044B\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442",ExtraLeftMissingRight:"\u041B\u0438\u0448\u043D\u0438\u0439 \\left \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \\right",Misplaced:"%1 \u043D\u0435\u00A0\u043D\u0430\u00A0\u043C\u0435\u0441\u0442\u0435",MissingOpenForSub:"\u041D\u0435\u0442\u00A0\u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0435\u0439 \u0441\u043A\u043E\u0431\u043A\u0438 \u0432\u00A0\u043D\u0438\u0436\u043D\u0435\u043C \u0438\u043D\u0434\u0435\u043A\u0441\u0435",MissingOpenForSup:"\u041D\u0435\u0442\u00A0\u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0435\u0439 \u0441\u043A\u043E\u0431\u043A\u0438 \u0432\u00A0\u043D\u0438\u0436\u043D\u0435\u043C \u0438\u043D\u0434\u0435\u043A\u0441\u0435",AmbiguousUseOf:"\u041D\u0435\u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u043E\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435 %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u043A\u0440\u044B\u0442\u043E \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \\end{%2}",EnvMissingEnd:"\u041F\u0440\u043E\u043F\u0443\u0449\u0435\u043D \\end{%1}",MissingBoxFor:"\u0423\u00A0%1 \u043D\u0435\u0442 \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u043C\u043E\u0433\u043E",MissingCloseBrace:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",UndefinedControlSequence:"\u041D\u0435\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0451\u043D\u043D\u0430\u044F \u0443\u043F\u0440\u0430\u0432\u043B\u044F\u044E\u0449\u0430\u044F \u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u043D\u043E\u0441\u0442\u044C %1",DoubleExponent:"\u0414\u0432\u043E\u0439\u043D\u0430\u044F \u044D\u043A\u0441\u043F\u043E\u043D\u0435\u043D\u0442\u0430: \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0439\u0442\u0435 \u0441\u043A\u043E\u0431\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u0438\u044F",DoubleSubscripts:"\u0414\u0432\u0430 \u043D\u0438\u0436\u043D\u0438\u0445 \u0438\u043D\u0434\u0435\u043A\u0441\u0430 \u043F\u043E\u0434\u0440\u044F\u0434: \u043F\u043E\u0441\u0442\u0430\u0432\u044C\u0442\u0435 \u0444\u0438\u0433\u0443\u0440\u043D\u044B\u0435 \u0441\u043A\u043E\u0431\u043A\u0438",DoubleExponentPrime:"\u0428\u0442\u0440\u0438\u0445 \u043F\u043E\u0441\u043B\u0435\u00A0\u0432\u0435\u0440\u0445\u043D\u0435\u0433\u043E \u0438\u043D\u0434\u0435\u043A\u0441\u0430: \u0443\u0442\u043E\u0447\u043D\u0438\u0442\u0435, \u043A\u00A0\u0447\u0435\u043C\u0443 \u043E\u043D \u043E\u0442\u043D\u043E\u0441\u0438\u0442\u0441\u044F, \u0444\u0438\u0433\u0443\u0440\u043D\u044B\u043C\u0438 \u0441\u043A\u043E\u0431\u043A\u0430\u043C\u0438",CantUseHash1:"\u0412\u00A0\u0440\u0435\u0436\u0438\u043C\u0435 \u00ABmath\u00BB \u043D\u0435\u043B\u044C\u0437\u044F \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u044C \u0441\u0438\u043C\u0432\u043E\u043B \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0430 \u043C\u0430\u043A\u0440\u043E\u0441\u0430 #",MisplacedMiddle:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0432\u043D\u0443\u0442\u0440\u0438 \\left \u0438\u00A0\\right",MisplacedLimits:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0441\u00A0\u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u043C\u0438",MisplacedMoveRoot:"%1 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442\u0441\u044F \u0442\u043E\u043B\u044C\u043A\u043E \u0432\u00A0\u043A\u043E\u0440\u043D\u044F\u0445",MultipleCommand:"\u041D\u0435\u0441\u043A\u043E\u043B\u044C\u043A\u043E %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u0446\u0435\u043B\u044B\u043C \u0447\u0438\u0441\u043B\u043E\u043C",NotMathMLToken:"%1\u00A0\u2014 \u043D\u0435\u00A0\u0441\u0438\u043C\u0432\u043E\u043B MML",InvalidMathMLAttr:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 MathML: %1",UnknownAttrForElement:"%1\u00A0\u2014 \u043D\u0435\u00A0\u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0442\u0435\u0433\u0430 MML %2",MaxMacroSub1:"\u041F\u0440\u0435\u0432\u044B\u0448\u0435\u043D\u043E \u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u043E\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0430: \u043D\u0435\u00A0\u0440\u0435\u043A\u0443\u0440\u0441\u0438\u044F\u00A0\u043B\u0438 \u044D\u0442\u043E?",MaxMacroSub2:"\u041F\u0440\u0435\u0432\u044B\u0448\u0435\u043D\u043E \u043F\u0440\u0435\u0434\u0435\u043B\u044C\u043D\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u043E\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A MathJax. \u041D\u0435\u0442\u00A0\u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0438 \u0432\u00A0\u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0438 LaTeX?",MissingArgFor:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1",ExtraAlignTab:"\u0421\u043B\u0438\u0448\u043A\u043E\u043C \u043C\u043D\u043E\u0433\u043E \u0441\u0442\u043E\u043B\u0431\u0446\u043E\u0432 \u0432\u00A0\\cases",BracketMustBeDimension:"\u0420\u0430\u0437\u0434\u0435\u043B\u0438\u0442\u0435\u043B\u044C (?) %1 \u043D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C",InvalidEnv:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E\u0435 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0435 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u044F \u00AB%1\u00BB",UnknownEnv:"\u041D\u0435\u0438\u0437\u0432\u0435\u0441\u0442\u043D\u043E\u0435 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0435 \u00AB%1\u00BB",ExtraCloseLooking:"\u041B\u0438\u0448\u043D\u044F\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430, \u043A\u043E\u0433\u0434\u0430 \u043E\u0436\u0438\u0434\u0430\u043B\u0430\u0441\u044C %1",MissingCloseBracket:"\u041D\u0435 \u0443\u0434\u0430\u043B\u043E\u0441\u044C \u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0443\u044E ']' \u0434\u043B\u044F \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0430 \u043A %1",MissingOrUnrecognizedDelim:"\u041E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u0435\u0442 \u0438\u043B\u0438 \u043D\u0435 \u0440\u0430\u0441\u043F\u043E\u0437\u043D\u0430\u043D \u0440\u0430\u0437\u0434\u0435\u043B\u0438\u0442\u0435\u043B\u044C \u0434\u043B\u044F %1",MissingDimOrUnits:"\u041D\u0435\u0442\u00A0\u0435\u0434\u0438\u043D\u0438\u0446\u044B \u0438\u0437\u043C\u0435\u0440\u0435\u043D\u0438\u044F \u0432\u00A0%1",TokenNotFoundForCommand:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 %1 \u0434\u043B\u044F %2",MathNotTerminated:"\u041D\u0435\u0437\u0430\u043A\u0440\u044B\u0442\u0430\u044F \u0444\u043E\u0440\u043C\u0443\u043B\u0430 \u0432\u00A0\\text{}",IllegalMacroParam:"\u0421\u0441\u044B\u043B\u043A\u0430 \u043D\u0430\u00A0\u043D\u0435\u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u044E\u0449\u0438\u0439 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u043C\u0430\u043A\u0440\u043E\u0441\u0430",MaxBufferSize:"\u0418\u0441\u0447\u0435\u0440\u043F\u0430\u043D \u0432\u043D\u0443\u0442\u0440\u0435\u043D\u043D\u0438\u0439 \u0431\u0443\u0444\u0435\u0440 MathJax: \u043D\u0435\u0442\u00A0\u043B\u0438 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u043E\u0433\u043E \u043C\u0430\u043A\u0440\u043E\u0441\u0430?",CommandNotAllowedInEnv:"%1 \u043D\u0435\u00A0\u043F\u043E\u0437\u0432\u043E\u043B\u0435\u043D \u0432\u00A0\u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u0438 %2",MultipleLabel:"\u041C\u0435\u0442\u043A\u0430 \u00AB%1\u00BB \u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0430 \u043D\u0435\u0441\u043A\u043E\u043B\u044C\u043A\u043E \u0440\u0430\u0437",CommandAtTheBeginingOfLine:"%1 \u0434\u043E\u043B\u0436\u043D\u043E \u0431\u044B\u0442\u044C \u0432\u00A0\u043D\u0430\u0447\u0430\u043B\u0435 \u0441\u0442\u0440\u043E\u043A\u0438",IllegalAlign:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0432\u044B\u0440\u0430\u0432\u043D\u0438\u0432\u0430\u043D\u0438\u0435 \u0432\u00A0%1",BadMathStyleFor:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u044B\u0439 \u0441\u0442\u0438\u043B\u044C \u0434\u043B\u044F\u00A0%1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043D\u0430\u0442\u0443\u0440\u0430\u043B\u044C\u043D\u044B\u043C \u0447\u0438\u0441\u043B\u043E\u043C",ErroneousNestingEq:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0432\u043B\u043E\u0436\u0435\u043D\u0438\u0435 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440",MultlineRowsOneCol:"\u0412 \u0441\u0442\u0440\u043E\u043A\u0430\u0445 \u043E\u043A\u0440\u0443\u0436\u0435\u043D\u0438\u044F %1 \u0434\u043E\u043B\u0436\u043D\u043E \u0431\u044B\u0442\u044C \u043F\u043E\u00A0\u043E\u0434\u043D\u043E\u043C\u0443 \u0441\u0442\u043E\u043B\u0431\u0446\u0443",MultipleBBoxProperty:"%1 \u0443\u043A\u0430\u0437\u0430\u043D\u043E \u0434\u0432\u0430\u0436\u0434\u044B \u0432 %2",InvalidBBoxProperty:"'%1'\u00A0\u2014 \u043D\u0435\u00A0\u0446\u0432\u0435\u0442, \u0432\u043D\u0443\u0442\u0440\u0435\u043D\u043D\u0438\u0439 \u043E\u0442\u0441\u0442\u0443\u043F \u0438\u043B\u0438\u00A0\u0441\u0442\u0438\u043B\u044C",ExtraEndMissingBegin:"\u041B\u0438\u0448\u043D\u0435\u0435 %1 \u0438\u043B\u0438\u00A0\u043F\u0440\u043E\u043F\u0443\u0449\u0435\u043D\u043E \\begingroup",GlobalNotFollowedBy:"\u041F\u043E\u0441\u043B\u0435 %1 \u043D\u0435\u0442 \\let, \\def \u0438\u043B\u0438\u00A0\\newcommand",UndefinedColorModel:"\u0426\u0432\u0435\u0442\u043E\u0432\u0430\u044F \u043C\u043E\u0434\u0435\u043B\u044C \u00AB%1\u00BB \u043D\u0435\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0430",ModelArg1:"\u0426\u0432\u0435\u0442\u043E\u0432\u0430\u044F \u043C\u043E\u0434\u0435\u043B\u044C %1 \u0442\u0440\u0435\u0431\u0443\u0435\u0442 \u0442\u0440\u0451\u0445\u00A0\u043A\u043E\u043C\u043F\u043E\u043D\u0435\u043D\u0442\u043E\u0432",InvalidDecimalNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0434\u0435\u0441\u044F\u0442\u0438\u0447\u043D\u043E\u0435 \u0447\u0438\u0441\u043B\u043E",ModelArg2:"\u0417\u043D\u0430\u0447\u0435\u043D\u0438\u044F \u043A\u043E\u043C\u043F\u043E\u043D\u0435\u043D\u0442\u043E\u0432 \u0446\u0432\u0435\u0442\u0430 \u0432\u00A0\u043C\u043E\u0434\u0435\u043B\u0438 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0431\u044B\u0442\u044C \u043C\u0435\u0436\u0434\u0443 %2 \u0438 %3",InvalidNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E",NewextarrowArg1:"\u041F\u0435\u0440\u0432\u044B\u043C \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u043C %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043D\u0430\u0431\u043E\u0440 \u043A\u043E\u043C\u0430\u043D\u0434",NewextarrowArg2:"\u0412\u0442\u043E\u0440\u044B\u043C \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u043E\u043C %1 \u0434\u043E\u043B\u0436\u043D\u0430 \u0431\u044B\u0442\u044C \u043F\u0430\u0440\u0430 \u0446\u0435\u043B\u044B\u0445 \u0447\u0438\u0441\u0435\u043B, \u0440\u0430\u0437\u0434\u0435\u043B\u0451\u043D\u043D\u0430\u044F \u0437\u0430\u043F\u044F\u0442\u043E\u0439",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u044C\u0438\u043C \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u043C %1 \u0434\u043E\u043B\u0436\u0435\u043D \u0431\u044B\u0442\u044C \u043A\u043E\u0434 \u0441\u0438\u043C\u0432\u043E\u043B\u0430 \u042E\u043D\u0438\u043A\u043E\u0434",NoClosingChar:"\u041D\u0435 \u0443\u0434\u0430\u0451\u0442\u0441\u044F \u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0438\u0439 \u0441\u0438\u043C\u0432\u043E\u043B %1",IllegalControlSequenceName:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u043D\u0430\u0437\u0432\u0430\u043D\u0438\u0435 \u043A\u043E\u043C\u0430\u043D\u0434\u044B %1",IllegalParamNumber:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u0432 %1",MissingCS:"\u041F\u043E\u0441\u043B\u0435 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0438\u0434\u0442\u0438 \u043A\u043E\u043C\u0430\u043D\u0434\u044B",CantUseHash2:"\u041D\u0435\u0434\u043E\u043F\u0443\u0441\u0442\u0438\u043C\u043E\u0435 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u043D\u0438\u0435 # \u0432\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u0438 %1",SequentialParam:"\u041D\u043E\u043C\u0435\u0440\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u043E\u0432 %1 \u0434\u043E\u043B\u0436\u043D\u044B \u0431\u044B\u0442\u044C\u00A0\u043F\u043E\u0441\u043B\u0435\u0434\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u043D\u044B",MissingReplacementString:"\u041D\u0435\u0442\u00A0\u043E\u043F\u0440\u0435\u0434\u0435\u043B\u0435\u043D\u0438\u044F %1",MismatchUseDef:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u044B\u0439 \u0432\u044B\u0437\u043E\u0432 %1",RunawayArgument:"\u0412\u00A0\u0432\u044B\u0437\u043E\u0432\u0435 %1 \u043F\u0440\u043E\u043F\u0443\u0449\u0435\u043D \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440?",NoClosingDelim:"%1 \u043D\u0435 \u0437\u0430\u043A\u0440\u044B\u0442\u043E"}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/TeX.js");
diff --git a/localization/ru/ru.js b/localization/ru/ru.js
index a565ea0c69..ac5203e9ba 100644
--- a/localization/ru/ru.js
+++ b/localization/ru/ru.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/ru/ru.js
+ *  /MathJax-v2/localization/ru/ru.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("ru",null,{menuTitle:"\u0440\u0443\u0441\u0441\u043A\u0438\u0439",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax \u043D\u0430\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u0441\u043A\u043E\u0439 \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438, \u043A\u043E\u0442\u043E\u0440\u0430\u044F \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u0442 \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0430. \u0412\u044B \u0445\u043E\u0442\u0438\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u044C \u0435\u0433\u043E?\n\n(\u0412\u044B \u0434\u043E\u043B\u0436\u043D\u044B \u043D\u0430\u0436\u0430\u0442\u044C \u041E\u0442\u043C\u0435\u043D\u0430, \u0435\u0441\u043B\u0438 \u0432\u044B \u0441\u0430\u043C\u043E\u0441\u0442\u043E\u044F\u0442\u0435\u043B\u044C\u043D\u043E \u043D\u0430\u0441\u0442\u0440\u043E\u0438\u043B\u0438 \u0444\u0430\u0439\u043B \u043A\u0443\u043A\u0438).",MathProcessingError:"\u041E\u0448\u0438\u0431\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0438",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0430\u044F \u043E\u0448\u0438\u0431\u043A\u0430",LoadFile:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 %1",Loading:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430",LoadFailed:"\u041D\u0435 \u0443\u0434\u0430\u043B\u043E\u0441\u044C \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C: %1",ProcessMath:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",TypesetMath:"\u0412\u0451\u0440\u0441\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Typesetting:"\u0412\u0451\u0440\u0441\u0442\u043A\u0430",MathJaxNotSupported:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 MathJax",ErrorTips:"\u0421\u043E\u0432\u0435\u0442\u044B \u043F\u043E \u043E\u0442\u043B\u0430\u0434\u043A\u0435: \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0439\u0442\u0435 %%1, \u0438\u0437\u0443\u0447\u0438\u0442\u0435 %%2 \u0432 \u043A\u043E\u043D\u0441\u043E\u043B\u0438 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!==11){return 1}if(2<=a%10&&a%10<=4&&12<=a%100&&a%100<=14){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 2}return 3},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/ru.js");
+MathJax.Localization.addTranslation("ru",null,{menuTitle:"\u0440\u0443\u0441\u0441\u043A\u0438\u0439",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax \u043D\u0430\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u0441\u043A\u043E\u0439 \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438, \u043A\u043E\u0442\u043E\u0440\u0430\u044F \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u0442 \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0430. \u0412\u044B \u0445\u043E\u0442\u0438\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u044C \u0435\u0433\u043E?\n\n(\u0412\u044B \u0434\u043E\u043B\u0436\u043D\u044B \u043D\u0430\u0436\u0430\u0442\u044C \u041E\u0442\u043C\u0435\u043D\u0430, \u0435\u0441\u043B\u0438 \u0432\u044B \u0441\u0430\u043C\u043E\u0441\u0442\u043E\u044F\u0442\u0435\u043B\u044C\u043D\u043E \u043D\u0430\u0441\u0442\u0440\u043E\u0438\u043B\u0438 \u0444\u0430\u0439\u043B \u043A\u0443\u043A\u0438).",MathProcessingError:"\u041E\u0448\u0438\u0431\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u043E\u0439 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0438",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0430\u044F \u043E\u0448\u0438\u0431\u043A\u0430",LoadFile:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 %1",Loading:"\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430",LoadFailed:"\u041D\u0435 \u0443\u0434\u0430\u043B\u043E\u0441\u044C \u0437\u0430\u0433\u0440\u0443\u0437\u0438\u0442\u044C: %1",ProcessMath:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Processing:"\u041E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430",TypesetMath:"\u0412\u0451\u0440\u0441\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Typesetting:"\u0412\u0451\u0440\u0441\u0442\u043A\u0430",MathJaxNotSupported:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u043E\u0434\u0434\u0435\u0440\u0436\u0438\u0432\u0430\u0435\u0442 MathJax",ErrorTips:"\u0421\u043E\u0432\u0435\u0442\u044B \u043F\u043E \u043E\u0442\u043B\u0430\u0434\u043A\u0435: \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0439\u0442\u0435 %%1, \u0438\u0437\u0443\u0447\u0438\u0442\u0435 %%2 \u0432 \u043A\u043E\u043D\u0441\u043E\u043B\u0438 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!==11){return 1}if(2<=a%10&&a%10<=4&&12<=a%100&&a%100<=14){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 2}return 3},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/ru/ru.js");
diff --git a/localization/scn/FontWarnings.js b/localization/scn/FontWarnings.js
index b8b7dc69c8..c2aee4af99 100644
--- a/localization/scn/FontWarnings.js
+++ b/localization/scn/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/scn/FontWarnings.js
+ *  /MathJax-v2/localization/scn/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("scn","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax sta adupirannu tipi di car\u00E0ttiri scarricati di Internet p'ammmustrari la matim\u00E0tica nta sta p\u00E0ggina. Scarricari sti tipi si pigghia tempu, dunca sta p\u00E0ggina si purr\u00ECa mpagginari cchi\u00F9 viloci si li tipi di car\u00E0ttiri p\u00E2 matim\u00E0tica f\u00F9ssiru istallati direttamenti nt\u00E2 cartella d\u00EE car\u00E0ttiri d\u00FB t\u00F2 sistema.",imageFonts:"MathJax sta adupirannu mm\u00E0ggini comu tipi di car\u00E0ttiri, mmeci di adupirari tipi di car\u00E0ttiri lucali o scarricati d'Internet. Stu fattu renni la mpagginazzioni cchi\u00F9 lenta d\u00FB s\u00F2litu, e quannu si stampa, la matim\u00E0tica purr\u00ECa nun aviri la risuluzzioni china cunzintuta d\u00E2 stampanti.",noFonts:"MathJax nun potti attruvari nu tipu di car\u00E0ttiri bonu p'ammustrari la matim\u00E0tica, e mancu sunnu dispun\u00ECbbili mm\u00E0ggini fatti a tipi di car\u00E0ttiri; pi chistu sta ripiegannu a l'adupirari li car\u00E0ttiri Unicode, nt\u00E2 spiranza chi lu t\u00F2 browser \u00E8 capaci d'ammustr\u00E0rili. P\u00F2 \u00E8ssiri ca certi car\u00E0ttiri nun sp\u00F9ntanu boni, o nun sp\u00F9ntanu propia.",webFonts:"Li cchi\u00F9 d\u00EE browser muderni pirm\u00E8ttinu di scarricari li tipi di car\u00E0ttiri d'Internet. Aggiurnannu lu t\u00F2 browser (o canci\u00E0nnulu) si purr\u00ECa migghiurari la qualit\u00E0 d\u00E2 matim\u00E0tica ca veni ammustrata nta sta p\u00E0ggina.",fonts:"MathJax po fari usu o d\u00EE [tipi di car\u00E0ttiri STIX](%1) o d\u00EE [tipi di car\u00E0ttiri TeX MathJax](%2). Sc\u00E0rrica e istalla unu di sti tipi pi fari funziunari megghiu MathJax.",STIXPage:"Sta p\u00E0ggina \u00E8 pruggittata pi fari usu d\u00EE [tipi di car\u00E0ttiri STIX](%1). Sc\u00E0rrica e istalla sti tipi pi fari funziunari megghiu MathJax.",TeXPage:"Sta p\u00E0ggina \u00E8 pruggittata pi fari usu d\u00EE [tipi di car\u00E0ttiri TeX MathJax](%1). Sc\u00E0rrica e istalla sti tipi pi fari funziunari megghiu MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/FontWarnings.js");
+MathJax.Localization.addTranslation("scn","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax sta adupirannu tipi di car\u00E0ttiri scarricati di Internet p'ammmustrari la matim\u00E0tica nta sta p\u00E0ggina. Scarricari sti tipi si pigghia tempu, dunca sta p\u00E0ggina si purr\u00ECa mpagginari cchi\u00F9 viloci si li tipi di car\u00E0ttiri p\u00E2 matim\u00E0tica f\u00F9ssiru istallati direttamenti nt\u00E2 cartella d\u00EE car\u00E0ttiri d\u00FB t\u00F2 sistema.",imageFonts:"MathJax sta adupirannu mm\u00E0ggini comu tipi di car\u00E0ttiri, mmeci di adupirari tipi di car\u00E0ttiri lucali o scarricati d'Internet. Stu fattu renni la mpagginazzioni cchi\u00F9 lenta d\u00FB s\u00F2litu, e quannu si stampa, la matim\u00E0tica purr\u00ECa nun aviri la risuluzzioni china cunzintuta d\u00E2 stampanti.",noFonts:"MathJax nun potti attruvari nu tipu di car\u00E0ttiri bonu p'ammustrari la matim\u00E0tica, e mancu sunnu dispun\u00ECbbili mm\u00E0ggini fatti a tipi di car\u00E0ttiri; pi chistu sta ripiegannu a l'adupirari li car\u00E0ttiri Unicode, nt\u00E2 spiranza chi lu t\u00F2 browser \u00E8 capaci d'ammustr\u00E0rili. P\u00F2 \u00E8ssiri ca certi car\u00E0ttiri nun sp\u00F9ntanu boni, o nun sp\u00F9ntanu propia.",webFonts:"Li cchi\u00F9 d\u00EE browser muderni pirm\u00E8ttinu di scarricari li tipi di car\u00E0ttiri d'Internet. Aggiurnannu lu t\u00F2 browser (o canci\u00E0nnulu) si purr\u00ECa migghiurari la qualit\u00E0 d\u00E2 matim\u00E0tica ca veni ammustrata nta sta p\u00E0ggina.",fonts:"MathJax po fari usu o d\u00EE [tipi di car\u00E0ttiri STIX](%1) o d\u00EE [tipi di car\u00E0ttiri TeX MathJax](%2). Sc\u00E0rrica e istalla unu di sti tipi pi fari funziunari megghiu MathJax.",STIXPage:"Sta p\u00E0ggina \u00E8 pruggittata pi fari usu d\u00EE [tipi di car\u00E0ttiri STIX](%1). Sc\u00E0rrica e istalla sti tipi pi fari funziunari megghiu MathJax.",TeXPage:"Sta p\u00E0ggina \u00E8 pruggittata pi fari usu d\u00EE [tipi di car\u00E0ttiri TeX MathJax](%1). Sc\u00E0rrica e istalla sti tipi pi fari funziunari megghiu MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/FontWarnings.js");
diff --git a/localization/scn/HTML-CSS.js b/localization/scn/HTML-CSS.js
index 87d3e6c44c..1dc9eb82e8 100644
--- a/localization/scn/HTML-CSS.js
+++ b/localization/scn/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/scn/HTML-CSS.js
+ *  /MathJax-v2/localization/scn/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("scn","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Scarricamentu d\u00FB tipu di car\u00E0ttiri web %1",CantLoadWebFont:"Nun si potti scarricari lu tipu di car\u00E0ttiri web %1",FirefoxCantLoadWebFont:"Firefox nun p\u00F2 scarricari tipi di car\u00E0ttiri web di n'host rimotu",CantFindFontUsing:"Nun si potti attruvari nu tipu di car\u00E0ttiri bonu tra %1",WebFontsNotAvailable:"Li tipi di car\u00E0ttiri web nun sunnu dispun\u00ECbbili, \u00F4 s\u00F2 postu s'ad\u00F2piranu mm\u00E0ggini fatti a tipu di car\u00E0ttiri"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/HTML-CSS.js");
+MathJax.Localization.addTranslation("scn","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Scarricamentu d\u00FB tipu di car\u00E0ttiri web %1",CantLoadWebFont:"Nun si potti scarricari lu tipu di car\u00E0ttiri web %1",FirefoxCantLoadWebFont:"Firefox nun p\u00F2 scarricari tipi di car\u00E0ttiri web di n'host rimotu",CantFindFontUsing:"Nun si potti attruvari nu tipu di car\u00E0ttiri bonu tra %1",WebFontsNotAvailable:"Li tipi di car\u00E0ttiri web nun sunnu dispun\u00ECbbili, \u00F4 s\u00F2 postu s'ad\u00F2piranu mm\u00E0ggini fatti a tipu di car\u00E0ttiri"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/HTML-CSS.js");
diff --git a/localization/scn/HelpDialog.js b/localization/scn/HelpDialog.js
index 8d324ec5f7..9796fe8917 100644
--- a/localization/scn/HelpDialog.js
+++ b/localization/scn/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/scn/HelpDialog.js
+ *  /MathJax-v2/localization/scn/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("scn","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Guida di MathJax",MathJax:"*MathJax* \u00E8 na libbrar\u00ECa JavaScript ca pirmetti a l'autura di m\u00E8ttiri f\u00F2rmuli matim\u00E0tichi nt\u00EA p\u00E0ggini web. Comu litturi, unu nun havi a fari nenti pi f\u00E0rilu funziunari.",Browsers:"*Browser*: MathJax funziona cu tutti li browser muderni cumprisi IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e lu cchi\u00F9 d\u00EE browser purt\u00E0tili.",Menu:"*Men\u00F9 d\u00EE f\u00F2rmuli*: MathJax agghiunci nu men\u00F9 cuntistuali nta tutti li f\u00F2rmuli matim\u00E0tichi. Si grapi cliccannu supra d\u00EE f\u00F2rmuli c\u00FB buttuni drittu o tinennu carcatu ctrl.",ShowMath:"*Ammustra la f\u00F2rmula comu* pirmetti di taliari lu c\u00F2dici surgenti d\u00E2 f\u00F2rmula p\u00FB cupiari e ncuddari (sutta forma di MathML o nt\u00F4 s\u00F2 furmatu origginali).",Settings:"*Mpustazzioni* duna cuntrollu supra d\u00EE carattir\u00ECstichi di MathJax, comu p'esempiu la grannizza d\u00EE f\u00F2rmuli e lu miccanismu adupiratu pi visualizz\u00E0rili.",Language:"*Lingua* pirmetti di sc\u00E8gghiri la lingua adupirata di MathJax p\u00EE s\u00F2 men\u00F9 e p\u00EE s\u00F2 missagg\u00EE d'avvisu.",Zoom:"*Zoom d\u00EE f\u00F2rmuli*: si veni diff\u00ECcili a l\u00E8ggiri na f\u00F2rmula, MathJax la p\u00F2 fari cchi\u00F9 granni pi f\u00E0rila v\u00ECdiri megghiu.",Accessibilty:"*Accissibbilit\u00E0*: MathJax funziona autumaticamenti ch\u00EE littura di schermu pi r\u00E8nniri li f\u00F2rmuli matim\u00E0tichi acciss\u00ECbbili a cu havi prubblemi di vista.",Fonts:"*Tipi di car\u00E0ttiri*: MathJax ad\u00F2pira certi tipi di car\u00E0ttiri matim\u00E0tici quannu l'attrova istallati nt\u00F4 computer; sinn\u00F2, ad\u00F2pira tipi di car\u00E0ttiri scarricati di Internet. Nun servi pi forza aviri li tipi di car\u00E0ttiri istallati lucalmenti, per\u00F2 renni la mpagginazzioni cchi\u00F9 viloci. Nui cunzigghiamu di istallari li [tipi di car\u00E0ttiri STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/HelpDialog.js");
+MathJax.Localization.addTranslation("scn","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Guida di MathJax",MathJax:"*MathJax* \u00E8 na libbrar\u00ECa JavaScript ca pirmetti a l'autura di m\u00E8ttiri f\u00F2rmuli matim\u00E0tichi nt\u00EA p\u00E0ggini web. Comu litturi, unu nun havi a fari nenti pi f\u00E0rilu funziunari.",Browsers:"*Browser*: MathJax funziona cu tutti li browser muderni cumprisi IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ e lu cchi\u00F9 d\u00EE browser purt\u00E0tili.",Menu:"*Men\u00F9 d\u00EE f\u00F2rmuli*: MathJax agghiunci nu men\u00F9 cuntistuali nta tutti li f\u00F2rmuli matim\u00E0tichi. Si grapi cliccannu supra d\u00EE f\u00F2rmuli c\u00FB buttuni drittu o tinennu carcatu ctrl.",ShowMath:"*Ammustra la f\u00F2rmula comu* pirmetti di taliari lu c\u00F2dici surgenti d\u00E2 f\u00F2rmula p\u00FB cupiari e ncuddari (sutta forma di MathML o nt\u00F4 s\u00F2 furmatu origginali).",Settings:"*Mpustazzioni* duna cuntrollu supra d\u00EE carattir\u00ECstichi di MathJax, comu p'esempiu la grannizza d\u00EE f\u00F2rmuli e lu miccanismu adupiratu pi visualizz\u00E0rili.",Language:"*Lingua* pirmetti di sc\u00E8gghiri la lingua adupirata di MathJax p\u00EE s\u00F2 men\u00F9 e p\u00EE s\u00F2 missagg\u00EE d'avvisu.",Zoom:"*Zoom d\u00EE f\u00F2rmuli*: si veni diff\u00ECcili a l\u00E8ggiri na f\u00F2rmula, MathJax la p\u00F2 fari cchi\u00F9 granni pi f\u00E0rila v\u00ECdiri megghiu.",Accessibilty:"*Accissibbilit\u00E0*: MathJax funziona autumaticamenti ch\u00EE littura di schermu pi r\u00E8nniri li f\u00F2rmuli matim\u00E0tichi acciss\u00ECbbili a cu havi prubblemi di vista.",Fonts:"*Tipi di car\u00E0ttiri*: MathJax ad\u00F2pira certi tipi di car\u00E0ttiri matim\u00E0tici quannu l'attrova istallati nt\u00F4 computer; sinn\u00F2, ad\u00F2pira tipi di car\u00E0ttiri scarricati di Internet. Nun servi pi forza aviri li tipi di car\u00E0ttiri istallati lucalmenti, per\u00F2 renni la mpagginazzioni cchi\u00F9 viloci. Nui cunzigghiamu di istallari li [tipi di car\u00E0ttiri STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/HelpDialog.js");
diff --git a/localization/scn/MathML.js b/localization/scn/MathML.js
index 3f52a64ece..f5f3799776 100644
--- a/localization/scn/MathML.js
+++ b/localization/scn/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/scn/MathML.js
+ *  /MathJax-v2/localization/scn/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("scn","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"mglyph sbagghiatu: %1",BadMglyphFont:"Tipu di car\u00E0ttiri sbagghiatu: %1",MathPlayer:"MathJax nun arrinisc\u00ECu a armari lu MathPlayer.\n\nSi lu MathPlayer nun \u00E8 istallatu, pi prima cosa s'havi a istallari.\nSinn\u00F2, li t\u00F2 mpustazzioni d\u00E2 sicurizza purr\u00ECanu nun pirm\u00E8ttiri lu funziunamentu\nd\u00EE cuntrolli ActiveX. Grapi la vuci \u00ABOpzioni Internet\u00BB nt\u00F4 men\u00F9 \u00ABStrummenti\u00BB e pigghia la linguetta \u00ABSicurizza\u00BB, e dd\u00E0 carca lu buttuni \u00ABLiveddu pirsunalizzatu...\u00BB. Cuntrolla ch\u00EE mpustazzioni \u00ABEsegui cuntrolli ActiveX e plug-in\u00BB e \u00ABCumpurtamentu file binari e script\u00BB sunnu attivati.\n\nComu a ora vidi missagg\u00EE d'erruri mmeci chi f\u00F2rmuli matim\u00E0tichi mpagginati",CantCreateXMLParser:"MathJax nun p\u00F2 criari n'analizzaturi sint\u00E0tticu XML p\u00FB MathML. Cuntrolla chi \u00E8 attivata la mpustazzioni di sicurizza \u00ABEsegui script cuntrolli ActiveX contrassignati comu sicuri\u00BB (grapi la vuci \u00ABOpzioni Internet\u00BB nt\u00F4 men\u00F9 \u00ABStrummenti\u00BB, scegghi la linguetta \u00ABSicurizza\u00BB, e carca lu buttuni \u00ABLiveddu pirsunalizzatu...\u00BB p'attruvari sta mpustazzioni).\n\nL'equazzioni MathML nun ponnu \u00E8ssiri labburati di MathJax",UnknownNodeType:"Tipu di gruppu scanusciutu: %1",UnexpectedTextNode:"Gruppu di testu nun aspittatu: %1",ErrorParsingMathML:"Erruri nta l'an\u00E0lisi d\u00FB MathML",ParsingError:"Erruri nta l'an\u00E0lisi d\u00FB MathML: %1",MathMLSingleElement:"Lu MathML havi a \u00E8ssiri furmatu di n'elimentu s\u00ECngulu",MathMLRootElement:"Lu MathML havi a \u00E8ssiri furmatu di n'elimentu \u003Cmath\u003E, no %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/MathML.js");
+MathJax.Localization.addTranslation("scn","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"mglyph sbagghiatu: %1",BadMglyphFont:"Tipu di car\u00E0ttiri sbagghiatu: %1",MathPlayer:"MathJax nun arrinisc\u00ECu a armari lu MathPlayer.\n\nSi lu MathPlayer nun \u00E8 istallatu, pi prima cosa s'havi a istallari.\nSinn\u00F2, li t\u00F2 mpustazzioni d\u00E2 sicurizza purr\u00ECanu nun pirm\u00E8ttiri lu funziunamentu\nd\u00EE cuntrolli ActiveX. Grapi la vuci \u00ABOpzioni Internet\u00BB nt\u00F4 men\u00F9 \u00ABStrummenti\u00BB e pigghia la linguetta \u00ABSicurizza\u00BB, e dd\u00E0 carca lu buttuni \u00ABLiveddu pirsunalizzatu...\u00BB. Cuntrolla ch\u00EE mpustazzioni \u00ABEsegui cuntrolli ActiveX e plug-in\u00BB e \u00ABCumpurtamentu file binari e script\u00BB sunnu attivati.\n\nComu a ora vidi missagg\u00EE d'erruri mmeci chi f\u00F2rmuli matim\u00E0tichi mpagginati",CantCreateXMLParser:"MathJax nun p\u00F2 criari n'analizzaturi sint\u00E0tticu XML p\u00FB MathML. Cuntrolla chi \u00E8 attivata la mpustazzioni di sicurizza \u00ABEsegui script cuntrolli ActiveX contrassignati comu sicuri\u00BB (grapi la vuci \u00ABOpzioni Internet\u00BB nt\u00F4 men\u00F9 \u00ABStrummenti\u00BB, scegghi la linguetta \u00ABSicurizza\u00BB, e carca lu buttuni \u00ABLiveddu pirsunalizzatu...\u00BB p'attruvari sta mpustazzioni).\n\nL'equazzioni MathML nun ponnu \u00E8ssiri labburati di MathJax",UnknownNodeType:"Tipu di gruppu scanusciutu: %1",UnexpectedTextNode:"Gruppu di testu nun aspittatu: %1",ErrorParsingMathML:"Erruri nta l'an\u00E0lisi d\u00FB MathML",ParsingError:"Erruri nta l'an\u00E0lisi d\u00FB MathML: %1",MathMLSingleElement:"Lu MathML havi a \u00E8ssiri furmatu di n'elimentu s\u00ECngulu",MathMLRootElement:"Lu MathML havi a \u00E8ssiri furmatu di n'elimentu \u003Cmath\u003E, no %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/MathML.js");
diff --git a/localization/scn/MathMenu.js b/localization/scn/MathMenu.js
index f098e0a3cd..dce70cbda4 100644
--- a/localization/scn/MathMenu.js
+++ b/localization/scn/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/scn/MathMenu.js
+ *  /MathJax-v2/localization/scn/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("scn","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Ammustra la f\u00F2rmula sutta forma di",MathMLcode:"C\u00F2dici MathML",OriginalMathML:"MathML origginali",TeXCommands:"Cumanni TeX",AsciiMathInput:"Input AsciiMathML",Original:"Forma origginali",ErrorMessage:"Missaggiu d'erruri",Annotation:"Annutazzioni",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML d\u00FB cuntinutu",OpenMath:"OpenMath",texHints:"Ammustra suggirimenti TeX nt\u00F4 MathML",Settings:"Mpustazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi",ZoomTrigger:"Attivazzioni d\u00FB zoom",Hover:"Passaggiu d\u00FB mouse",Click:"Clic",DoubleClick:"Duppiu clic",NoZoom:"Zoom nenti",TriggerRequires:"Pi l'attivazzioni ci voli:",Option:"Opzioni",Alt:"Alt",Command:"Cumannu",Control:"Ctrl",Shift:"Mai\u00F9sc.",ZoomFactor:"Fatturi di zoom",Renderer:"Giniraturi d\u00E2 matim\u00E0tica",MPHandles:"Lassa gistiri \u00F4 MathPlayer:",MenuEvents:"L'eventi d\u00EE men\u00F9",MouseEvents:"L'eventi d\u00FB mouse",MenuAndMouse:"L'eventi d\u00FB mouse e d\u00EE men\u00F9",FontPrefs:"Prifirenzi p\u00EE tipi di car\u00E0ttiri",ForHTMLCSS:"Pi l'HTML-CSS:",Auto:"Autum\u00E0ticu",TeXLocal:"TeX (lucali)",TeXWeb:"TeX (web)",TeXImage:"TeX (mm\u00E0ggini)",STIXLocal:"STIX (lucali)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00F9 cuntistuali",Browser:"Browser",Scale:"Arridiminziona tutta la matim\u00E0tica...",Discoverable:"Arrisaltari \u00F4 passaggiu d\u00FB mouse",Locale:"Lingua",LoadLocale:"Sc\u00E0rrica di l\u2019URL...",About:"A prup\u00F2situ di MathJax",Help:"Guida di MathJax",localTeXfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri lucali TeX",webTeXfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri web TeX",imagefonts:"sta facennu usu d\u00EE mm\u00E0ggini fatti a tipi di car\u00E0ttiri",localSTIXfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri lucali STIX",webSVGfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri web SVG",genericfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri Unicode gin\u00E8rici",wofforotffonts:"Tipi di car\u00E0ttiri WOFF o OTF",eotffonts:"Tipi di car\u00E0ttiri EOT",svgfonts:"Tipi di car\u00E0ttiri SVG",WebkitNativeMMLWarning:"Lu t\u00F2 browser nun pari ca supporta nativamenti lu MathML, dunca passannu a l'output MathML la matim\u00E0tica chi c'\u00E8 nt\u00E2 p\u00E0ggina purr\u00ECa addivintari nun ligg\u00ECbbili",MSIENativeMMLWarning:"Internet Explorer havi bisognu d\u00FB plugin MathPlayer pi putiri labburari l'output MathML.",OperaNativeMMLWarning:"Opera supporta lu MathML di manera limitata, dunca passannu a l'output MathML certi sprissioni matim\u00E0tichi ponnu cump\u00E0riri mali.",SafariNativeMMLWarning:"Lu supportu d\u00FB t\u00F2 browser p\u00FB MathML nun mplimenta tutti li carattir\u00ECstichi d\u00EE quali MathJax fa usu, dunca certi sprissioni matim\u00E0tichi ponnu cump\u00E0riri mali.",FirefoxNativeMMLWarning:"Lu supportu d\u00FB t\u00F2 browser p\u00FB MathML nun mplimenta tutti li carattir\u00ECstichi d\u00EE quali MathJax fa usu, dunca certi sprissioni matim\u00E0tichi ponnu cump\u00E0riri mali.",MSIESVGWarning:"L'SVG nun \u00E8 mplimintatu nta Internet Explorer prima d\u00E2 virsioni 9, o quannu \u00E8mula la virsioni 8 e chiddi nfiriuri. Passannu a l'output SVG la matim\u00E0tica nun \u00E8 visualizzata bona.",LoadURL:"Carricari li dati di traduzzioni di st'URL:",BadURL:"L'URL avissi a cunt\u00E8niri nu file JavaScript ca difinisci li dati d\u00E2 traduzzioni di MathJax. \u003ELi noma d\u00EE file JavaScript av\u00ECssiru a finiri cu \u00AB.js\u00BB",BadData:"Nun arrinisc\u00ECu lu scarricamentu d\u00EE dati d\u00E2 traduzzioni di %1",SwitchAnyway:"Voi canciari lu giniraturi lu stissu?\n\n(Carca OK pi canciari, ANNULLA p'arristari c\u00FB giniraturi attuali)",ScaleMath:"Arridiminziunari tutta la matim\u00E0tica (rispettu \u00F4 testu circustanti) di",NonZeroScale:"Lu fatturi di scala nun havi a \u00E8ssiri zeru",PercentScale:"Lu fatturi di scala havi a \u00E8ssiri na pircintuali (p'esempiu 120%%)",IE8warning:"Sta cosa disattiva lu men\u00F9 di MathJax e li s\u00F2 funziunalit\u00E0 di zoom, pir\u00F2 si p\u00F2 sempri gr\u00E0piri lu men\u00F9 di MathJax cliccannu supra \u00EA sprissioni tinennu carcatu Alt.\n\nS\u00EE sicuru di vuliri canciari li mpustazzioni d\u00FB MathPlayer?",IE9warning:"Veni disattivatu lu men\u00F9 cuntistuali di MathJax, chi pir\u00F2 si p\u00F2 sempri gr\u00E0piri cliccannu supra \u00EA sprissioni tinennu carcatu Alt.",NoOriginalForm:"Nudda forma origginali \u00E8 dispun\u00ECbbili",Close:"Chiudi",EqSource:"Surgenti d\u00E2 f\u00F2rmula MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/MathMenu.js");
+MathJax.Localization.addTranslation("scn","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Ammustra la f\u00F2rmula sutta forma di",MathMLcode:"C\u00F2dici MathML",OriginalMathML:"MathML origginali",TeXCommands:"Cumanni TeX",AsciiMathInput:"Input AsciiMathML",Original:"Forma origginali",ErrorMessage:"Missaggiu d'erruri",Annotation:"Annutazzioni",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML d\u00FB cuntinutu",OpenMath:"OpenMath",texHints:"Ammustra suggirimenti TeX nt\u00F4 MathML",Settings:"Mpustazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi",ZoomTrigger:"Attivazzioni d\u00FB zoom",Hover:"Passaggiu d\u00FB mouse",Click:"Clic",DoubleClick:"Duppiu clic",NoZoom:"Zoom nenti",TriggerRequires:"Pi l'attivazzioni ci voli:",Option:"Opzioni",Alt:"Alt",Command:"Cumannu",Control:"Ctrl",Shift:"Mai\u00F9sc.",ZoomFactor:"Fatturi di zoom",Renderer:"Giniraturi d\u00E2 matim\u00E0tica",MPHandles:"Lassa gistiri \u00F4 MathPlayer:",MenuEvents:"L'eventi d\u00EE men\u00F9",MouseEvents:"L'eventi d\u00FB mouse",MenuAndMouse:"L'eventi d\u00FB mouse e d\u00EE men\u00F9",FontPrefs:"Prifirenzi p\u00EE tipi di car\u00E0ttiri",ForHTMLCSS:"Pi l'HTML-CSS:",Auto:"Autum\u00E0ticu",TeXLocal:"TeX (lucali)",TeXWeb:"TeX (web)",TeXImage:"TeX (mm\u00E0ggini)",STIXLocal:"STIX (lucali)",STIXWeb:"STIX (web)",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Men\u00F9 cuntistuali",Browser:"Browser",Scale:"Arridiminziona tutta la matim\u00E0tica...",Discoverable:"Arrisaltari \u00F4 passaggiu d\u00FB mouse",Locale:"Lingua",LoadLocale:"Sc\u00E0rrica di l\u2019URL...",About:"A prup\u00F2situ di MathJax",Help:"Guida di MathJax",localTeXfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri lucali TeX",webTeXfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri web TeX",imagefonts:"sta facennu usu d\u00EE mm\u00E0ggini fatti a tipi di car\u00E0ttiri",localSTIXfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri lucali STIX",webSVGfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri web SVG",genericfonts:"sta facennu usu d\u00EE tipi di car\u00E0ttiri Unicode gin\u00E8rici",wofforotffonts:"Tipi di car\u00E0ttiri WOFF o OTF",eotffonts:"Tipi di car\u00E0ttiri EOT",svgfonts:"Tipi di car\u00E0ttiri SVG",WebkitNativeMMLWarning:"Lu t\u00F2 browser nun pari ca supporta nativamenti lu MathML, dunca passannu a l'output MathML la matim\u00E0tica chi c'\u00E8 nt\u00E2 p\u00E0ggina purr\u00ECa addivintari nun ligg\u00ECbbili",MSIENativeMMLWarning:"Internet Explorer havi bisognu d\u00FB plugin MathPlayer pi putiri labburari l'output MathML.",OperaNativeMMLWarning:"Opera supporta lu MathML di manera limitata, dunca passannu a l'output MathML certi sprissioni matim\u00E0tichi ponnu cump\u00E0riri mali.",SafariNativeMMLWarning:"Lu supportu d\u00FB t\u00F2 browser p\u00FB MathML nun mplimenta tutti li carattir\u00ECstichi d\u00EE quali MathJax fa usu, dunca certi sprissioni matim\u00E0tichi ponnu cump\u00E0riri mali.",FirefoxNativeMMLWarning:"Lu supportu d\u00FB t\u00F2 browser p\u00FB MathML nun mplimenta tutti li carattir\u00ECstichi d\u00EE quali MathJax fa usu, dunca certi sprissioni matim\u00E0tichi ponnu cump\u00E0riri mali.",MSIESVGWarning:"L'SVG nun \u00E8 mplimintatu nta Internet Explorer prima d\u00E2 virsioni 9, o quannu \u00E8mula la virsioni 8 e chiddi nfiriuri. Passannu a l'output SVG la matim\u00E0tica nun \u00E8 visualizzata bona.",LoadURL:"Carricari li dati di traduzzioni di st'URL:",BadURL:"L'URL avissi a cunt\u00E8niri nu file JavaScript ca difinisci li dati d\u00E2 traduzzioni di MathJax. \u003ELi noma d\u00EE file JavaScript av\u00ECssiru a finiri cu \u00AB.js\u00BB",BadData:"Nun arrinisc\u00ECu lu scarricamentu d\u00EE dati d\u00E2 traduzzioni di %1",SwitchAnyway:"Voi canciari lu giniraturi lu stissu?\n\n(Carca OK pi canciari, ANNULLA p'arristari c\u00FB giniraturi attuali)",ScaleMath:"Arridiminziunari tutta la matim\u00E0tica (rispettu \u00F4 testu circustanti) di",NonZeroScale:"Lu fatturi di scala nun havi a \u00E8ssiri zeru",PercentScale:"Lu fatturi di scala havi a \u00E8ssiri na pircintuali (p'esempiu 120%%)",IE8warning:"Sta cosa disattiva lu men\u00F9 di MathJax e li s\u00F2 funziunalit\u00E0 di zoom, pir\u00F2 si p\u00F2 sempri gr\u00E0piri lu men\u00F9 di MathJax cliccannu supra \u00EA sprissioni tinennu carcatu Alt.\n\nS\u00EE sicuru di vuliri canciari li mpustazzioni d\u00FB MathPlayer?",IE9warning:"Veni disattivatu lu men\u00F9 cuntistuali di MathJax, chi pir\u00F2 si p\u00F2 sempri gr\u00E0piri cliccannu supra \u00EA sprissioni tinennu carcatu Alt.",NoOriginalForm:"Nudda forma origginali \u00E8 dispun\u00ECbbili",Close:"Chiudi",EqSource:"Surgenti d\u00E2 f\u00F2rmula MathJax"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/MathMenu.js");
diff --git a/localization/scn/TeX.js b/localization/scn/TeX.js
index 2e8ef7e9aa..f9f1e2f852 100644
--- a/localization/scn/TeX.js
+++ b/localization/scn/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/scn/TeX.js
+ *  /MathJax-v2/localization/scn/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("scn","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Par\u00E8ntisi graffa graputa suverchia o par\u00E8ntisi graffa chiusa ammancanti",ExtraCloseMissingOpen:"Par\u00E8ntisi graffa chiusa suverchia o par\u00E8ntisi graffa graputa ammancanti",MissingLeftExtraRight:"Cumannu \\left ammancanti o cumannu \\right suverchiu",MissingScript:"Argumentu ammancanti p\u00FB spunenti o p\u00FB dipunenti",ExtraLeftMissingRight:"Cumannu \\left suverchiu o cumannu \\right ammancanti",Misplaced:"%1 fora postu",MissingOpenForSub:"Par\u00E8ntisi graffa graputa ammancanti p\u00FB dipunenti",MissingOpenForSup:"Par\u00E8ntisi graffa graputa ammancanti p\u00F4 spunenti",AmbiguousUseOf:"Cumannu %1 adupiratu di manera amb\u00ECgua",EnvBadEnd:"Cumannu \\begin{%1} cunchiusu d\u00FB cumannu \\end{%2}",EnvMissingEnd:"Cumannu \\end{%1} ammancanti",MissingBoxFor:"Buatta ammancanti p\u00FB cumannu %1",MissingCloseBrace:"Par\u00E8ntisi graffa chiusa ammancanti",UndefinedControlSequence:"Siquenza di cuntrollu nun difinuta %1",DoubleExponent:"Spunenti duppiu: adupirari li par\u00E8ntisi graffi pi chiariri",DoubleSubscripts:"Dipunenti duppiu: adupirari li par\u00E8ntisi graffi pi chiariri",DoubleExponentPrime:"Spunenti duppiu p\u00FB s\u00ECmmulu di primu: adupirari li par\u00E8ntisi graffi pi chiariri",CantUseHash1:"Nun si p\u00F2 adupirari lu car\u00E0ttiri # comu par\u00E0mitru di macro nt\u00E2 mudalit\u00E0 matim\u00E0tica",MisplacedMiddle:"Lu cumannu %1 s'havi a attruvari dintra d\u00EE cumanni \\left e \\right",MisplacedLimits:"Lu cumannu %1 \u00E8 cunzintutu sulu nta l'opiratura",MisplacedMoveRoot:"Lu cumannu %1 p\u00F2 cump\u00E0riri sulu sutta r\u00E0dici",MultipleCommand:"%1 ripitutu",IntegerArg:"L'argumentu d\u00FB cumannu %1 havi a \u00E8ssiri nu nteru",NotMathMLToken:"%1 nun \u00E8 n'elimentu di token",InvalidMathMLAttr:"Attribbutu MathML nun v\u00E0lidu: %1",UnknownAttrForElement:"%1 nun \u00E8 n\u2019attribbutu ricanusciutu pi %2",MaxMacroSub1:"Passatu lu n\u00F9mmiru m\u00E0ssimu di sustituzzioni di macro di MathJax; c'\u00E8 quarchi chiamata a macro ricursiva?",MaxMacroSub2:"Passatu lu n\u00F9mmiru m\u00E0ssimu di sustituzzioni di MathJax; c'\u00E8 quarchi ambienti LaTeX ricursivu?",MissingArgFor:"Argumentu d\u00FB cumannu %1 ammancanti",ExtraAlignTab:"Tabbulazzioni d\u2019alliniamentu suverchia nt\u00F4 testu d\u00FB cumannu \\cases",BracketMustBeDimension:"L'argumentu tra par\u00E8ntisi pi %1 havi a \u00E8ssiri na diminzioni",InvalidEnv:"Nomu d'ambienti nun v\u00E0lidu \u00AB%1\u00BB",UnknownEnv:"Ambienti scanusciutu \u00AB%1\u00BB",ExtraCloseLooking:"Par\u00E8ntisi graffa chiusa suverchia quannu s'aspittava %1",MissingCloseBracket:"Nun s'attrova la \u00AB]\u00BB chiusa pi l'argumentu di %1",MissingOrUnrecognizedDelim:"Dilimitaturi pi %1 ammancanti o scanusciutu",MissingDimOrUnits:"Diminzioni o s\u00F2 unit\u00E0 ammancanti p\u00FB cumannu %1",TokenNotFoundForCommand:"Nun s'attrova lu s\u00ECmmulu %1 p\u00FB cumannu %2",MathNotTerminated:"Matim\u00E0tica nun cunchiusa nt\u00E2 buatta di testu",IllegalMacroParam:"Rifirimentu \u00F4n par\u00E0mitru di macro nun v\u00E0lidu",MaxBufferSize:"Passatu lu l\u00ECmiti di grannizza d\u00FB buffer nternu di MathJax; c'\u00E8 quarchi chiamata a macro ricursiva?",CommandNotAllowedInEnv:"Lu cumannu %1 nun \u00E8 cunzintutu nta l'ambienti %2",MultipleLabel:"Etichetta \u00AB%1\u00BB difinuta cchi\u00F9 voti",CommandAtTheBeginingOfLine:"%1 havi a stari \u00F4 principiu d\u00E2 riga",IllegalAlign:"Alliniamentu nun v\u00E0lidu spicificatu nt\u00F4 cumannu %1",BadMathStyleFor:"Stili matim\u00E0ticu nun v\u00E0lidu p\u00FB cumannu %1",PositiveIntegerArg:"L'argumentu di %1 havi a \u00E8ssiri nu nteru pusitivu",ErroneousNestingEq:"Annidamentu sbagghiatu d\u00EE strutturi d\u00E2 f\u00F2rmula",MultlineRowsOneCol:"Nta l\u2019ambienti %1 li righi hannu a aviri na culonna e una sula",MultipleBBoxProperty:"Prupit\u00E0 %1 spicificata dui voti nt\u00F4 cumannu %2",InvalidBBoxProperty:"\u00AB%1\u00BB nun pari un culuri, na diminzioni di m\u00E0rgini nternu, o nu stili",ExtraEndMissingBegin:"Cumannu %1 suverchiu o cumannu \\begingroup ammancanti",GlobalNotFollowedBy:"Cumannu %1 nun siguitu d\u00FB cumannu \\let, \\def, o \\newcommand",UndefinedColorModel:"Mudellu di culuri \u00AB%1\u00BB nun difinutu",ModelArg1:"Li valura di culuri p\u00FB mudellu %1 sunnu fatti di 3 n\u00F9mmira",InvalidDecimalNumber:"N\u00F9mmiru dicimali nun v\u00E0lidu",ModelArg2:"Li valura di culuri p\u00FB mudellu %1 hannu a \u00E8ssiri tra %2 e %3",InvalidNumber:"N\u00F9mmiru nun v\u00E0lidu",NewextarrowArg1:"Lu primu argumentu d\u00FB cumannu %1 havi a \u00E8ssiri lu nomu di na siquenza di cuntrollu",NewextarrowArg2:"Lu secunnu argumentu d\u00FB cumannu %1 hannu a \u00E8ssiri dui nteri spartuti di na v\u00ECrgula",NewextarrowArg3:"Lu terzu argumentu d\u00FB cumannu %1 havi a \u00E8ssiri nu n\u00F9mmiru di car\u00E0ttiri Unicode",NoClosingChar:"Ammanca la %1 di chiusura",IllegalControlSequenceName:"Nomu di siquenza di cuntrollu nun v\u00E0lidu p\u00FB cumannu %1",IllegalParamNumber:"N\u00F9mmiru di par\u00E0mitri nun v\u00E0lidu spicificatu nt\u00F4 cumannu %1",MissingCS:"Lu cumannu %1 havi a \u00E8ssiri siguitu di na siquenza di cuntrollu",CantUseHash2:"Usu nun cunzintutu d\u00FB car\u00E0ttiri # nt\u00F4 mudellu d\u00FB cumannu %1",SequentialParam:"Li par\u00E0mitri d\u00FB cumannu %1 hannu a \u00E8ssiri nummirati n siquenza",MissingReplacementString:"Stringa di rimpiazzu ammancanti nt\u00E2 difinizzioni d\u00FB cumannu %1",MismatchUseDef:"L'usu d\u00FB cumannu %1 nun currispunni \u00E2 s\u00F2 difinizzioni",RunawayArgument:"Argumentu d\u00FB cumannu %1 pirdutu?",NoClosingDelim:"Nun s'attrova lu dilimitaturi di chiusura p\u00FB cumannu %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/TeX.js");
+MathJax.Localization.addTranslation("scn","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Par\u00E8ntisi graffa graputa suverchia o par\u00E8ntisi graffa chiusa ammancanti",ExtraCloseMissingOpen:"Par\u00E8ntisi graffa chiusa suverchia o par\u00E8ntisi graffa graputa ammancanti",MissingLeftExtraRight:"Cumannu \\left ammancanti o cumannu \\right suverchiu",MissingScript:"Argumentu ammancanti p\u00FB spunenti o p\u00FB dipunenti",ExtraLeftMissingRight:"Cumannu \\left suverchiu o cumannu \\right ammancanti",Misplaced:"%1 fora postu",MissingOpenForSub:"Par\u00E8ntisi graffa graputa ammancanti p\u00FB dipunenti",MissingOpenForSup:"Par\u00E8ntisi graffa graputa ammancanti p\u00F4 spunenti",AmbiguousUseOf:"Cumannu %1 adupiratu di manera amb\u00ECgua",EnvBadEnd:"Cumannu \\begin{%1} cunchiusu d\u00FB cumannu \\end{%2}",EnvMissingEnd:"Cumannu \\end{%1} ammancanti",MissingBoxFor:"Buatta ammancanti p\u00FB cumannu %1",MissingCloseBrace:"Par\u00E8ntisi graffa chiusa ammancanti",UndefinedControlSequence:"Siquenza di cuntrollu nun difinuta %1",DoubleExponent:"Spunenti duppiu: adupirari li par\u00E8ntisi graffi pi chiariri",DoubleSubscripts:"Dipunenti duppiu: adupirari li par\u00E8ntisi graffi pi chiariri",DoubleExponentPrime:"Spunenti duppiu p\u00FB s\u00ECmmulu di primu: adupirari li par\u00E8ntisi graffi pi chiariri",CantUseHash1:"Nun si p\u00F2 adupirari lu car\u00E0ttiri # comu par\u00E0mitru di macro nt\u00E2 mudalit\u00E0 matim\u00E0tica",MisplacedMiddle:"Lu cumannu %1 s'havi a attruvari dintra d\u00EE cumanni \\left e \\right",MisplacedLimits:"Lu cumannu %1 \u00E8 cunzintutu sulu nta l'opiratura",MisplacedMoveRoot:"Lu cumannu %1 p\u00F2 cump\u00E0riri sulu sutta r\u00E0dici",MultipleCommand:"%1 ripitutu",IntegerArg:"L'argumentu d\u00FB cumannu %1 havi a \u00E8ssiri nu nteru",NotMathMLToken:"%1 nun \u00E8 n'elimentu di token",InvalidMathMLAttr:"Attribbutu MathML nun v\u00E0lidu: %1",UnknownAttrForElement:"%1 nun \u00E8 n\u2019attribbutu ricanusciutu pi %2",MaxMacroSub1:"Passatu lu n\u00F9mmiru m\u00E0ssimu di sustituzzioni di macro di MathJax; c'\u00E8 quarchi chiamata a macro ricursiva?",MaxMacroSub2:"Passatu lu n\u00F9mmiru m\u00E0ssimu di sustituzzioni di MathJax; c'\u00E8 quarchi ambienti LaTeX ricursivu?",MissingArgFor:"Argumentu d\u00FB cumannu %1 ammancanti",ExtraAlignTab:"Tabbulazzioni d\u2019alliniamentu suverchia nt\u00F4 testu d\u00FB cumannu \\cases",BracketMustBeDimension:"L'argumentu tra par\u00E8ntisi pi %1 havi a \u00E8ssiri na diminzioni",InvalidEnv:"Nomu d'ambienti nun v\u00E0lidu \u00AB%1\u00BB",UnknownEnv:"Ambienti scanusciutu \u00AB%1\u00BB",ExtraCloseLooking:"Par\u00E8ntisi graffa chiusa suverchia quannu s'aspittava %1",MissingCloseBracket:"Nun s'attrova la \u00AB]\u00BB chiusa pi l'argumentu di %1",MissingOrUnrecognizedDelim:"Dilimitaturi pi %1 ammancanti o scanusciutu",MissingDimOrUnits:"Diminzioni o s\u00F2 unit\u00E0 ammancanti p\u00FB cumannu %1",TokenNotFoundForCommand:"Nun s'attrova lu s\u00ECmmulu %1 p\u00FB cumannu %2",MathNotTerminated:"Matim\u00E0tica nun cunchiusa nt\u00E2 buatta di testu",IllegalMacroParam:"Rifirimentu \u00F4n par\u00E0mitru di macro nun v\u00E0lidu",MaxBufferSize:"Passatu lu l\u00ECmiti di grannizza d\u00FB buffer nternu di MathJax; c'\u00E8 quarchi chiamata a macro ricursiva?",CommandNotAllowedInEnv:"Lu cumannu %1 nun \u00E8 cunzintutu nta l'ambienti %2",MultipleLabel:"Etichetta \u00AB%1\u00BB difinuta cchi\u00F9 voti",CommandAtTheBeginingOfLine:"%1 havi a stari \u00F4 principiu d\u00E2 riga",IllegalAlign:"Alliniamentu nun v\u00E0lidu spicificatu nt\u00F4 cumannu %1",BadMathStyleFor:"Stili matim\u00E0ticu nun v\u00E0lidu p\u00FB cumannu %1",PositiveIntegerArg:"L'argumentu di %1 havi a \u00E8ssiri nu nteru pusitivu",ErroneousNestingEq:"Annidamentu sbagghiatu d\u00EE strutturi d\u00E2 f\u00F2rmula",MultlineRowsOneCol:"Nta l\u2019ambienti %1 li righi hannu a aviri na culonna e una sula",MultipleBBoxProperty:"Prupit\u00E0 %1 spicificata dui voti nt\u00F4 cumannu %2",InvalidBBoxProperty:"\u00AB%1\u00BB nun pari un culuri, na diminzioni di m\u00E0rgini nternu, o nu stili",ExtraEndMissingBegin:"Cumannu %1 suverchiu o cumannu \\begingroup ammancanti",GlobalNotFollowedBy:"Cumannu %1 nun siguitu d\u00FB cumannu \\let, \\def, o \\newcommand",UndefinedColorModel:"Mudellu di culuri \u00AB%1\u00BB nun difinutu",ModelArg1:"Li valura di culuri p\u00FB mudellu %1 sunnu fatti di 3 n\u00F9mmira",InvalidDecimalNumber:"N\u00F9mmiru dicimali nun v\u00E0lidu",ModelArg2:"Li valura di culuri p\u00FB mudellu %1 hannu a \u00E8ssiri tra %2 e %3",InvalidNumber:"N\u00F9mmiru nun v\u00E0lidu",NewextarrowArg1:"Lu primu argumentu d\u00FB cumannu %1 havi a \u00E8ssiri lu nomu di na siquenza di cuntrollu",NewextarrowArg2:"Lu secunnu argumentu d\u00FB cumannu %1 hannu a \u00E8ssiri dui nteri spartuti di na v\u00ECrgula",NewextarrowArg3:"Lu terzu argumentu d\u00FB cumannu %1 havi a \u00E8ssiri nu n\u00F9mmiru di car\u00E0ttiri Unicode",NoClosingChar:"Ammanca la %1 di chiusura",IllegalControlSequenceName:"Nomu di siquenza di cuntrollu nun v\u00E0lidu p\u00FB cumannu %1",IllegalParamNumber:"N\u00F9mmiru di par\u00E0mitri nun v\u00E0lidu spicificatu nt\u00F4 cumannu %1",MissingCS:"Lu cumannu %1 havi a \u00E8ssiri siguitu di na siquenza di cuntrollu",CantUseHash2:"Usu nun cunzintutu d\u00FB car\u00E0ttiri # nt\u00F4 mudellu d\u00FB cumannu %1",SequentialParam:"Li par\u00E0mitri d\u00FB cumannu %1 hannu a \u00E8ssiri nummirati n siquenza",MissingReplacementString:"Stringa di rimpiazzu ammancanti nt\u00E2 difinizzioni d\u00FB cumannu %1",MismatchUseDef:"L'usu d\u00FB cumannu %1 nun currispunni \u00E2 s\u00F2 difinizzioni",RunawayArgument:"Argumentu d\u00FB cumannu %1 pirdutu?",NoClosingDelim:"Nun s'attrova lu dilimitaturi di chiusura p\u00FB cumannu %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/TeX.js");
diff --git a/localization/scn/scn.js b/localization/scn/scn.js
index 06beafd603..b538148cbe 100644
--- a/localization/scn/scn.js
+++ b/localization/scn/scn.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/scn/scn.js
+ *  /MathJax-v2/localization/scn/scn.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("scn",null,{menuTitle:"sicilianu",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Erruri nt\u00E2 labburazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi",MathError:"Erruri nt\u00E2 matim\u00E0tica",LoadFile:"Carricamentu di %1",Loading:"Carricamentu",LoadFailed:"Nun arrinisc\u00ECu lu carricamentu di: %1",ProcessMath:"Labburazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi: %1%%",Processing:"Labburazzioni",TypesetMath:"Mpagginazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi: %1%%",Typesetting:"Mpagginazzioni",MathJaxNotSupported:"Lu t\u00F2 browser nun supporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/scn.js");
+MathJax.Localization.addTranslation("scn",null,{menuTitle:"sicilianu",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"Erruri nt\u00E2 labburazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi",MathError:"Erruri nt\u00E2 matim\u00E0tica",LoadFile:"Carricamentu di %1",Loading:"Carricamentu",LoadFailed:"Nun arrinisc\u00ECu lu carricamentu di: %1",ProcessMath:"Labburazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi: %1%%",Processing:"Labburazzioni",TypesetMath:"Mpagginazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi: %1%%",Typesetting:"Mpagginazzioni",MathJaxNotSupported:"Lu t\u00F2 browser nun supporta MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/scn/scn.js");
diff --git a/localization/sco/FontWarnings.js b/localization/sco/FontWarnings.js
index e186b204fc..b8a5b104ed 100644
--- a/localization/sco/FontWarnings.js
+++ b/localization/sco/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sco/FontWarnings.js
+ *  /MathJax-v2/localization/sco/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sco","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax is uisin wab-based fonts tae displey the mathematics oan this page.  Thir tak time tae doonlaid, sae the page wid render faster gif ye installed maths fonts directlie in yer system's font fauder.",imageFonts:"MathJax is uisin its eemage fonts insteid o local or wab-based fonts. This will render slawer than uisual, n the mathematics micht no prent at the ful resolution o yer prenter.",noFonts:"MathJax is onable tae locate ae font tae uise tae displey its mathematics, n eemage fonts ar no available, sae it is fallin back oan generic Unicode chairacters in hopes that yer brouser will be able tae displey thaim. Some chairacters michtna shaw up properlie, or possiblie no at aw.",webFonts:"Maist modern brousers permit fonts tae be doonlaided ower the wab. Updatin til ae mair recent version o yer brouser (or chyngin brousers) coud impruiv the qualitie o the mathematics oan this page.",fonts:"MathJax can uise either the [STIX fonts](%1) or the [MathJax TeX fonts](%2).  Doonlaid n install yin o thae fonts tae impruiv yer MathJax experience.",STIXPage:"This page is designed tae uise the [STIX fonts](%1).  Doonlaid n install thae fonts tae impruiv yer MathJax experience.",TeXPage:"This page is designed tae uise the [MathJax TeX fonts](%1).  Doonlaid n install thae fonts tae impruiv yer MathJax experiance."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/FontWarnings.js");
+MathJax.Localization.addTranslation("sco","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax is uisin wab-based fonts tae displey the mathematics oan this page.  Thir tak time tae doonlaid, sae the page wid render faster gif ye installed maths fonts directlie in yer system's font fauder.",imageFonts:"MathJax is uisin its eemage fonts insteid o local or wab-based fonts. This will render slawer than uisual, n the mathematics micht no prent at the ful resolution o yer prenter.",noFonts:"MathJax is onable tae locate ae font tae uise tae displey its mathematics, n eemage fonts ar no available, sae it is fallin back oan generic Unicode chairacters in hopes that yer brouser will be able tae displey thaim. Some chairacters michtna shaw up properlie, or possiblie no at aw.",webFonts:"Maist modern brousers permit fonts tae be doonlaided ower the wab. Updatin til ae mair recent version o yer brouser (or chyngin brousers) coud impruiv the qualitie o the mathematics oan this page.",fonts:"MathJax can uise either the [STIX fonts](%1) or the [MathJax TeX fonts](%2).  Doonlaid n install yin o thae fonts tae impruiv yer MathJax experience.",STIXPage:"This page is designed tae uise the [STIX fonts](%1).  Doonlaid n install thae fonts tae impruiv yer MathJax experience.",TeXPage:"This page is designed tae uise the [MathJax TeX fonts](%1).  Doonlaid n install thae fonts tae impruiv yer MathJax experiance."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/FontWarnings.js");
diff --git a/localization/sco/HTML-CSS.js b/localization/sco/HTML-CSS.js
index 1c37211257..69c98f5577 100644
--- a/localization/sco/HTML-CSS.js
+++ b/localization/sco/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sco/HTML-CSS.js
+ *  /MathJax-v2/localization/sco/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sco","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Laidin wab font %1",CantLoadWebFont:"Canna laid wab font %1",FirefoxCantLoadWebFont:"Firefox canna laid wab fonts fae ae remote host",CantFindFontUsing:"Canna fynd ae valid font uisin %1",WebFontsNotAvailable:"Wab fonts no available. Uisin eimage fonts instead"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/HTML-CSS.js");
+MathJax.Localization.addTranslation("sco","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Laidin wab font %1",CantLoadWebFont:"Canna laid wab font %1",FirefoxCantLoadWebFont:"Firefox canna laid wab fonts fae ae remote host",CantFindFontUsing:"Canna fynd ae valid font uisin %1",WebFontsNotAvailable:"Wab fonts no available. Uisin eimage fonts instead"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/HTML-CSS.js");
diff --git a/localization/sco/HelpDialog.js b/localization/sco/HelpDialog.js
index d78a0c0335..493f04170d 100644
--- a/localization/sco/HelpDialog.js
+++ b/localization/sco/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sco/HelpDialog.js
+ *  /MathJax-v2/localization/sco/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sco","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax Heelp",MathJax:"*MathJax* is ae JavaScreept librairie that allous page authers tae incluid mathematics wiin thair wab pages. Aes ae reader, ye dinna need tae dae oniething tae mak that happen.",Browsers:"*Brousers*: MathJax warks wi aw modern brousers incluidin IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ n maist mobile brousers.",Menu:"*Maths menu*: MathJax adds ae contextual menu til equations. Richt-clap or Ctrl-clap oan onie mathematics tae access the menu.",ShowMath:"*Shaw maths aes* Permits ye tae view the formula's soorce maurkup fer copie \u0026 paste (aes MathML or in its oreeginal format).",Settings:"*Settins* gies ye control ower features o MathJax, lik the size o the mathematics, n the mechanism uised tae displey equations.",Language:"*Leid* lets ye select the leid uised bi MathJax fer its menus n warnishment messages.",Zoom:"*Maths zuim*: Gif ye'r haein difficultie readin aen equation, MathJax can mak it mair muckle tae heelp ye see it better.",Accessibilty:"*Accessibeelitie*: MathJax will aut\u00E6maticlie wark wi screen readers tae mak mathematics accessible til the veesuallie impaired.",Fonts:"*Fonts*: MathJax will uise certain maths fonts gif thay ar installed oan yer computer; itherwise, it will uise wab-based fonts. Awthough no needit, locallie installed fonts will speed up typesettin. We suggest installin the [STIX fonts](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/HelpDialog.js");
+MathJax.Localization.addTranslation("sco","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"MathJax Heelp",MathJax:"*MathJax* is ae JavaScreept librairie that allous page authers tae incluid mathematics wiin thair wab pages. Aes ae reader, ye dinna need tae dae oniething tae mak that happen.",Browsers:"*Brousers*: MathJax warks wi aw modern brousers incluidin IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ n maist mobile brousers.",Menu:"*Maths menu*: MathJax adds ae contextual menu til equations. Richt-clap or Ctrl-clap oan onie mathematics tae access the menu.",ShowMath:"*Shaw maths aes* Permits ye tae view the formula's soorce maurkup fer copie \u0026 paste (aes MathML or in its oreeginal format).",Settings:"*Settins* gies ye control ower features o MathJax, lik the size o the mathematics, n the mechanism uised tae displey equations.",Language:"*Leid* lets ye select the leid uised bi MathJax fer its menus n warnishment messages.",Zoom:"*Maths zuim*: Gif ye'r haein difficultie readin aen equation, MathJax can mak it mair muckle tae heelp ye see it better.",Accessibilty:"*Accessibeelitie*: MathJax will aut\u00E6maticlie wark wi screen readers tae mak mathematics accessible til the veesuallie impaired.",Fonts:"*Fonts*: MathJax will uise certain maths fonts gif thay ar installed oan yer computer; itherwise, it will uise wab-based fonts. Awthough no needit, locallie installed fonts will speed up typesettin. We suggest installin the [STIX fonts](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/HelpDialog.js");
diff --git a/localization/sco/MathML.js b/localization/sco/MathML.js
index d7d9fc99e8..7fc518d249 100644
--- a/localization/sco/MathML.js
+++ b/localization/sco/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sco/MathML.js
+ *  /MathJax-v2/localization/sco/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sco","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Bad mglyph: %1",BadMglyphFont:"Bad font: %1",MathPlayer:"MathJax wisna able tae set up MathPlayer.\n\nGif MathPlayer isna installed, than ye need tae install it first.\nItherwise, yer securitie settins micht be preventin ActiveX\ncontrols fae rinnin. Uise the Internet Opties eetem unner\nthe Tuilkist menu n select the Securitie tab, than press the\nCustom Level button. Check that the settins fer\n'Rin ActiveX Controls', n 'Binarie n screept behaviors'\nar enabled.\n\nOan the nou ye'll see mistak messages insteid o typeset mathematics",CantCreateXMLParser:"MathJax canna creaut aen XML parser fer MathML. Check that\nthe 'Screept ActiveX controls maurkit safe fer screeptin' securitie\nsettin is enabled (uise the Internet Opties eetem in the Tuils menu, n select the Securitie panel, than press the Custom Level button tae check this).\n\nMathML equations will no be able tae be processed bi MathJax",UnknownNodeType:"Onkent node type: %1",UnexpectedTextNode:"Onexpected tex node: %1",ErrorParsingMathML:"Mistak parsin MathML",ParsingError:"Mistak parsin MathML: %1",MathMLSingleElement:"MathML maun be formed bi ae single element",MathMLRootElement:"MathML maun be formed bi ae \u003Cmath\u003E element, no %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/MathML.js");
+MathJax.Localization.addTranslation("sco","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"Bad mglyph: %1",BadMglyphFont:"Bad font: %1",MathPlayer:"MathJax wisna able tae set up MathPlayer.\n\nGif MathPlayer isna installed, than ye need tae install it first.\nItherwise, yer securitie settins micht be preventin ActiveX\ncontrols fae rinnin. Uise the Internet Opties eetem unner\nthe Tuilkist menu n select the Securitie tab, than press the\nCustom Level button. Check that the settins fer\n'Rin ActiveX Controls', n 'Binarie n screept behaviors'\nar enabled.\n\nOan the nou ye'll see mistak messages insteid o typeset mathematics",CantCreateXMLParser:"MathJax canna creaut aen XML parser fer MathML. Check that\nthe 'Screept ActiveX controls maurkit safe fer screeptin' securitie\nsettin is enabled (uise the Internet Opties eetem in the Tuils menu, n select the Securitie panel, than press the Custom Level button tae check this).\n\nMathML equations will no be able tae be processed bi MathJax",UnknownNodeType:"Onkent node type: %1",UnexpectedTextNode:"Onexpected tex node: %1",ErrorParsingMathML:"Mistak parsin MathML",ParsingError:"Mistak parsin MathML: %1",MathMLSingleElement:"MathML maun be formed bi ae single element",MathMLRootElement:"MathML maun be formed bi ae \u003Cmath\u003E element, no %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/MathML.js");
diff --git a/localization/sco/MathMenu.js b/localization/sco/MathMenu.js
index 51dbeb3af9..5b92e26290 100644
--- a/localization/sco/MathMenu.js
+++ b/localization/sco/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sco/MathMenu.js
+ *  /MathJax-v2/localization/sco/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sco","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Shaw maths aes",MathMLcode:"MathML code",OriginalMathML:"Oreeginal MathML",TeXCommands:"TeX commauns",AsciiMathInput:"AsciiMathML input",Original:"Oreeginal form",ErrorMessage:"Mistak message",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Shaw TeX hints in MathML",Settings:"Maths settins",ZoomTrigger:"Zuim trigger",Hover:"Hover",Click:"Clap",DoubleClick:"Dooble-clap",NoZoom:"Naw zuim",TriggerRequires:"Trigger needs:",Option:"Optie",Alt:"Alt",Command:"Commaun",Control:"Control",Shift:"Shift",ZoomFactor:"Zuim facter",Renderer:"Maths renderer",MPHandles:"Let MathPlayer haunle:",MenuEvents:"Menu events",MouseEvents:"Moose events",MenuAndMouse:"Moose n menu events",FontPrefs:"Font preferences",ForHTMLCSS:"Fer HTML-CSS:",Auto:"Aut\u00E6",TeXLocal:"TeX (local)",TeXWeb:"TeX (wab)",TeXImage:"TeX (eimage)",STIXLocal:"STIX (local)",STIXWeb:"STIX (wab)",AsanaMathWeb:"Asana Math (wab)",GyrePagellaWeb:"Gyre Pagella (wab)",GyreTermesWeb:"Gyre Termes (wab)",LatinModernWeb:"Latin Modern (wab)",NeoEulerWeb:"Neo Euler (wab)",ContextMenu:"Contextual menu",Browser:"Brouser",Scale:"Scale aw maths ...",Discoverable:"Heilicht oan hover",Locale:"Leid",LoadLocale:"Laid fae URL ...",About:"Aneat MathJax",Help:"MathJax heelp",localTeXfonts:"uisin local TeX fonts",webTeXfonts:"uisin wab TeX font",imagefonts:"uisin Eimage fonts",localSTIXfonts:"uisin local STIX fonts",webSVGfonts:"uisin wab SVG fonts",genericfonts:"uisin generic Unicode fonts",wofforotffonts:"WOFF or OTF fonts",eotffonts:"EOT fonts",svgfonts:"SVG fonts",WebkitNativeMMLWarning:"Yer brouser disna seem tae support MathML nateevelie, sae switchin tae MathML ootput micht cause the mathematics oan the page tae become onreadable",MSIENativeMMLWarning:"Internet Explorer needs the MathPlayer plug-in fer tae process MathML ootput.",OperaNativeMMLWarning:"Opera's support fer MathML is leemitit, sae switchin tae MathML ootput micht cause some expressions tae render puirlie.",SafariNativeMMLWarning:"Yer brouser's native MathML disna implement aw the features uised bi MathJax, sae some expressions michtna render properlie.",FirefoxNativeMMLWarning:"Yer brouser's native MathML disna implement aw the features uised bi MathJax, sae some expressions michtna render properlie.",MSIESVGWarning:"SVG isna implemented in Internet Explorer prior til IE9 or whan it's emulating IE8 or ablo. Switchin til SVG ootput will cause the mathematics tae no displey properlie.",LoadURL:"Laid owersetin data fae this URL:",BadURL:"The URL shid be fer ae JavaScript file that defines MathJax owersetin data. JavaScript file names shid end wi '.js'",BadData:"Failed tae laid owersetin data fae %1",SwitchAnyway:"Switch the renderer oniewas?\n\n(Press OK tae switch, CANCEL tae continue wi the current renderer)",ScaleMath:"Scale aw mathematics (compared til surroondin tex) bi",NonZeroScale:"The scale shidna be zero",PercentScale:"The scale shid be ae percentage (fer example 120%%)",IE8warning:"This will disable the MathJax menu n zuim features, but ye can Alt-Clap oan aen expression tae obtain the MathJax menu insteid.\n\nReallie want tae chynge the MathPlayer settins?",IE9warning:"The MathJax contextual menu will be disabled, but ye can Alt-Clap oan aen expression tae obtain the MathJax menu insteid.",NoOriginalForm:"Naw oreeginal form available",Close:"Claise",EqSource:"MathJax Equation Soorce"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/MathMenu.js");
+MathJax.Localization.addTranslation("sco","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Shaw maths aes",MathMLcode:"MathML code",OriginalMathML:"Oreeginal MathML",TeXCommands:"TeX commauns",AsciiMathInput:"AsciiMathML input",Original:"Oreeginal form",ErrorMessage:"Mistak message",Annotation:"Annotation",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"Content MathML",OpenMath:"OpenMath",texHints:"Shaw TeX hints in MathML",Settings:"Maths settins",ZoomTrigger:"Zuim trigger",Hover:"Hover",Click:"Clap",DoubleClick:"Dooble-clap",NoZoom:"Naw zuim",TriggerRequires:"Trigger needs:",Option:"Optie",Alt:"Alt",Command:"Commaun",Control:"Control",Shift:"Shift",ZoomFactor:"Zuim facter",Renderer:"Maths renderer",MPHandles:"Let MathPlayer haunle:",MenuEvents:"Menu events",MouseEvents:"Moose events",MenuAndMouse:"Moose n menu events",FontPrefs:"Font preferences",ForHTMLCSS:"Fer HTML-CSS:",Auto:"Aut\u00E6",TeXLocal:"TeX (local)",TeXWeb:"TeX (wab)",TeXImage:"TeX (eimage)",STIXLocal:"STIX (local)",STIXWeb:"STIX (wab)",AsanaMathWeb:"Asana Math (wab)",GyrePagellaWeb:"Gyre Pagella (wab)",GyreTermesWeb:"Gyre Termes (wab)",LatinModernWeb:"Latin Modern (wab)",NeoEulerWeb:"Neo Euler (wab)",ContextMenu:"Contextual menu",Browser:"Brouser",Scale:"Scale aw maths ...",Discoverable:"Heilicht oan hover",Locale:"Leid",LoadLocale:"Laid fae URL ...",About:"Aneat MathJax",Help:"MathJax heelp",localTeXfonts:"uisin local TeX fonts",webTeXfonts:"uisin wab TeX font",imagefonts:"uisin Eimage fonts",localSTIXfonts:"uisin local STIX fonts",webSVGfonts:"uisin wab SVG fonts",genericfonts:"uisin generic Unicode fonts",wofforotffonts:"WOFF or OTF fonts",eotffonts:"EOT fonts",svgfonts:"SVG fonts",WebkitNativeMMLWarning:"Yer brouser disna seem tae support MathML nateevelie, sae switchin tae MathML ootput micht cause the mathematics oan the page tae become onreadable",MSIENativeMMLWarning:"Internet Explorer needs the MathPlayer plug-in fer tae process MathML ootput.",OperaNativeMMLWarning:"Opera's support fer MathML is leemitit, sae switchin tae MathML ootput micht cause some expressions tae render puirlie.",SafariNativeMMLWarning:"Yer brouser's native MathML disna implement aw the features uised bi MathJax, sae some expressions michtna render properlie.",FirefoxNativeMMLWarning:"Yer brouser's native MathML disna implement aw the features uised bi MathJax, sae some expressions michtna render properlie.",MSIESVGWarning:"SVG isna implemented in Internet Explorer prior til IE9 or whan it's emulating IE8 or ablo. Switchin til SVG ootput will cause the mathematics tae no displey properlie.",LoadURL:"Laid owersetin data fae this URL:",BadURL:"The URL shid be fer ae JavaScript file that defines MathJax owersetin data. JavaScript file names shid end wi '.js'",BadData:"Failed tae laid owersetin data fae %1",SwitchAnyway:"Switch the renderer oniewas?\n\n(Press OK tae switch, CANCEL tae continue wi the current renderer)",ScaleMath:"Scale aw mathematics (compared til surroondin tex) bi",NonZeroScale:"The scale shidna be zero",PercentScale:"The scale shid be ae percentage (fer example 120%%)",IE8warning:"This will disable the MathJax menu n zuim features, but ye can Alt-Clap oan aen expression tae obtain the MathJax menu insteid.\n\nReallie want tae chynge the MathPlayer settins?",IE9warning:"The MathJax contextual menu will be disabled, but ye can Alt-Clap oan aen expression tae obtain the MathJax menu insteid.",NoOriginalForm:"Naw oreeginal form available",Close:"Claise",EqSource:"MathJax Equation Soorce"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/MathMenu.js");
diff --git a/localization/sco/TeX.js b/localization/sco/TeX.js
index accfab6116..1e60ba5980 100644
--- a/localization/sco/TeX.js
+++ b/localization/sco/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sco/TeX.js
+ *  /MathJax-v2/localization/sco/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sco","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Eixtra apen brace or missin claise bracket",ExtraCloseMissingOpen:"Eixtra claise brace or missin apen bracket",MissingLeftExtraRight:"Missin \\left or eixtra \\right",MissingScript:"Missin superscreept or subscreept argument",ExtraLeftMissingRight:"Eixtra \\left or missin \\right",Misplaced:"Misplaced %1",MissingOpenForSub:"Missin apen bracket fer subscreept",MissingOpenForSup:"Missin apen bracket fer superscreept",AmbiguousUseOf:"Ambeeguous uise o %1",EnvBadEnd:"\\begin{%1} ended wi \\end{%2}",EnvMissingEnd:"Missin \\end{%1}",MissingBoxFor:"Missin kist fer %1",MissingCloseBrace:"Missin claise bracket",UndefinedControlSequence:"Ondefined control sequence %1",DoubleExponent:"Dooble exponent: uise brackets tae clarifie",DoubleSubscripts:"Dooble subscreepts: uise brackets tae clarifie",DoubleExponentPrime:"Prime causes dooble exponent: Uise brackets tae clarifie",CantUseHash1:"Ye canna uise 'macro parameter chairacter #' in maths mode",MisplacedMiddle:"%1 mau be wiin \\left n \\right",MisplacedLimits:"%1 is yinlie permited oan operaters",MisplacedMoveRoot:"%1 can yinlie appear wiin ae ruit",MultipleCommand:"Multiple %1",IntegerArg:"The aurgument til %1 mau be aen integer",NotMathMLToken:"%1 isna ae token element",InvalidMathMLAttr:"Onvalid MathML attreebute: %1",UnknownAttrForElement:"%1 isna ae recognized attribute fer %2",MaxMacroSub1:"MathJax mucklest macro substitution coont exceeded; is thaur ae recursive macro caw?",MaxMacroSub2:"MathJax mucklest substitution coont exceeded; is thaur ae recursive LaTeX environment?",MissingArgFor:"Missin aurgument fer %1",ExtraAlignTab:"Eixtra alignment tab in \\cases tex",BracketMustBeDimension:"Bracket aurgument til %1 maun be ae dimension",InvalidEnv:"Onvalid environment name '%1'",UnknownEnv:"Onkent environment '%1'",ExtraCloseLooking:"Eixtra claise bracket while luikin fer %1",MissingCloseBracket:"Coudna fynd claisin ']' fer aurgument til %1",MissingOrUnrecognizedDelim:"Missin or onrecognized delimiter fer %1",MissingDimOrUnits:"Missin dimension or its units fer %1",TokenNotFoundForCommand:"Coudna fynd %1 fer %2",MathNotTerminated:"Maths no terminated in tex kist",IllegalMacroParam:"Onlegal macro parameter reference",MaxBufferSize:"MathJax internal buffer size exceeded; is thaur ae recursive macro caw?",CommandNotAllowedInEnv:"%1 no permited in %2 environment",MultipleLabel:"Label '%1' multiplie defined",CommandAtTheBeginingOfLine:"%1 maun come at the beginnin o the line",IllegalAlign:"Onlegal alignment speceefied in %1",BadMathStyleFor:"Puir maths style fer %1",PositiveIntegerArg:"Argument til %1 maun be ae positeeve integer",ErroneousNestingEq:"Mistaken nestin o equation structures",MultlineRowsOneCol:"The lines wiin the %1 environment maun hae exactlie yin column",MultipleBBoxProperty:"%1 speceefied twice in %2",InvalidBBoxProperty:"'%1' disna luik like ae colour, ae paddin dimension, or ae style",ExtraEndMissingBegin:"Eixtra %1 or missin \\begingroup",GlobalNotFollowedBy:"%1 isna follaed bi \\let, \\def, or \\newcommand",UndefinedColorModel:"Colour model '%1' no defined",ModelArg1:"Colour values fer the %1 model need 3 nummers",InvalidDecimalNumber:"Onvalid decimal nummer",ModelArg2:"Colour values fer the %1 model maun be atween %2 n %3",InvalidNumber:"Onvalid nummer",NewextarrowArg1:"Foremait argument til %1 maun be ae control sequence name",NewextarrowArg2:"Seicont argument til %1 maun be twa integers separated bi ae comma",NewextarrowArg3:"Third argument til %1 maun be ae Unicode chairacter nummer",NoClosingChar:"Canna fynd claisin %1",IllegalControlSequenceName:"Onlegal control sequence name fer %1",IllegalParamNumber:"Onlegal nummer o parameters speceefied in %1",MissingCS:"%1 maun be follaeed bi ae control sequence",CantUseHash2:"Onlegal uiss o # in template fer %1",SequentialParam:"Parameters fer %1 maun be nummer't sequentiallie",MissingReplacementString:"Missin replacement string fer defineetion o %1",MismatchUseDef:"Uiss o %1 disna match its defineetion",RunawayArgument:"Rinawa argument fer %1?",NoClosingDelim:"Canna fynd claisin delimiter fer %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/TeX.js");
+MathJax.Localization.addTranslation("sco","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Eixtra apen brace or missin claise bracket",ExtraCloseMissingOpen:"Eixtra claise brace or missin apen bracket",MissingLeftExtraRight:"Missin \\left or eixtra \\right",MissingScript:"Missin superscreept or subscreept argument",ExtraLeftMissingRight:"Eixtra \\left or missin \\right",Misplaced:"Misplaced %1",MissingOpenForSub:"Missin apen bracket fer subscreept",MissingOpenForSup:"Missin apen bracket fer superscreept",AmbiguousUseOf:"Ambeeguous uise o %1",EnvBadEnd:"\\begin{%1} ended wi \\end{%2}",EnvMissingEnd:"Missin \\end{%1}",MissingBoxFor:"Missin kist fer %1",MissingCloseBrace:"Missin claise bracket",UndefinedControlSequence:"Ondefined control sequence %1",DoubleExponent:"Dooble exponent: uise brackets tae clarifie",DoubleSubscripts:"Dooble subscreepts: uise brackets tae clarifie",DoubleExponentPrime:"Prime causes dooble exponent: Uise brackets tae clarifie",CantUseHash1:"Ye canna uise 'macro parameter chairacter #' in maths mode",MisplacedMiddle:"%1 mau be wiin \\left n \\right",MisplacedLimits:"%1 is yinlie permited oan operaters",MisplacedMoveRoot:"%1 can yinlie appear wiin ae ruit",MultipleCommand:"Multiple %1",IntegerArg:"The aurgument til %1 mau be aen integer",NotMathMLToken:"%1 isna ae token element",InvalidMathMLAttr:"Onvalid MathML attreebute: %1",UnknownAttrForElement:"%1 isna ae recognized attribute fer %2",MaxMacroSub1:"MathJax mucklest macro substitution coont exceeded; is thaur ae recursive macro caw?",MaxMacroSub2:"MathJax mucklest substitution coont exceeded; is thaur ae recursive LaTeX environment?",MissingArgFor:"Missin aurgument fer %1",ExtraAlignTab:"Eixtra alignment tab in \\cases tex",BracketMustBeDimension:"Bracket aurgument til %1 maun be ae dimension",InvalidEnv:"Onvalid environment name '%1'",UnknownEnv:"Onkent environment '%1'",ExtraCloseLooking:"Eixtra claise bracket while luikin fer %1",MissingCloseBracket:"Coudna fynd claisin ']' fer aurgument til %1",MissingOrUnrecognizedDelim:"Missin or onrecognized delimiter fer %1",MissingDimOrUnits:"Missin dimension or its units fer %1",TokenNotFoundForCommand:"Coudna fynd %1 fer %2",MathNotTerminated:"Maths no terminated in tex kist",IllegalMacroParam:"Onlegal macro parameter reference",MaxBufferSize:"MathJax internal buffer size exceeded; is thaur ae recursive macro caw?",CommandNotAllowedInEnv:"%1 no permited in %2 environment",MultipleLabel:"Label '%1' multiplie defined",CommandAtTheBeginingOfLine:"%1 maun come at the beginnin o the line",IllegalAlign:"Onlegal alignment speceefied in %1",BadMathStyleFor:"Puir maths style fer %1",PositiveIntegerArg:"Argument til %1 maun be ae positeeve integer",ErroneousNestingEq:"Mistaken nestin o equation structures",MultlineRowsOneCol:"The lines wiin the %1 environment maun hae exactlie yin column",MultipleBBoxProperty:"%1 speceefied twice in %2",InvalidBBoxProperty:"'%1' disna luik like ae colour, ae paddin dimension, or ae style",ExtraEndMissingBegin:"Eixtra %1 or missin \\begingroup",GlobalNotFollowedBy:"%1 isna follaed bi \\let, \\def, or \\newcommand",UndefinedColorModel:"Colour model '%1' no defined",ModelArg1:"Colour values fer the %1 model need 3 nummers",InvalidDecimalNumber:"Onvalid decimal nummer",ModelArg2:"Colour values fer the %1 model maun be atween %2 n %3",InvalidNumber:"Onvalid nummer",NewextarrowArg1:"Foremait argument til %1 maun be ae control sequence name",NewextarrowArg2:"Seicont argument til %1 maun be twa integers separated bi ae comma",NewextarrowArg3:"Third argument til %1 maun be ae Unicode chairacter nummer",NoClosingChar:"Canna fynd claisin %1",IllegalControlSequenceName:"Onlegal control sequence name fer %1",IllegalParamNumber:"Onlegal nummer o parameters speceefied in %1",MissingCS:"%1 maun be follaeed bi ae control sequence",CantUseHash2:"Onlegal uiss o # in template fer %1",SequentialParam:"Parameters fer %1 maun be nummer't sequentiallie",MissingReplacementString:"Missin replacement string fer defineetion o %1",MismatchUseDef:"Uiss o %1 disna match its defineetion",RunawayArgument:"Rinawa argument fer %1?",NoClosingDelim:"Canna fynd claisin delimiter fer %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/TeX.js");
diff --git a/localization/sco/sco.js b/localization/sco/sco.js
index 2530b6c2e4..5521197dd6 100644
--- a/localization/sco/sco.js
+++ b/localization/sco/sco.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sco/sco.js
+ *  /MathJax-v2/localization/sco/sco.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sco",null,{menuTitle:"scots",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Maths processin mistak",MathError:"Maths mistak",LoadFile:"Laidin %1",Loading:"Laidin",LoadFailed:"File failed tae laid: %1",ProcessMath:"Processin maths: %1%%",Processing:"Processin",TypesetMath:"Typesettin maths: %1%%",Typesetting:"Typesettin",MathJaxNotSupported:"Yer brouser disna support MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/sco.js");
+MathJax.Localization.addTranslation("sco",null,{menuTitle:"scots",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"Maths processin mistak",MathError:"Maths mistak",LoadFile:"Laidin %1",Loading:"Laidin",LoadFailed:"File failed tae laid: %1",ProcessMath:"Processin maths: %1%%",Processing:"Processin",TypesetMath:"Typesettin maths: %1%%",Typesetting:"Typesettin",MathJaxNotSupported:"Yer brouser disna support MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sco/sco.js");
diff --git a/localization/sk/FontWarnings.js b/localization/sk/FontWarnings.js
index f496f849f9..7735b980de 100644
--- a/localization/sk/FontWarnings.js
+++ b/localization/sk/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sk/FontWarnings.js
+ *  /MathJax-v2/localization/sk/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sk","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax pou\u017E\u00EDva k zobrazeniu matematiky na tejto str\u00E1nke webov\u00E9 p\u00EDsma. T\u00FDm trv\u00E1 stiahnutie nejak\u00FA dobu, tak\u017Ee str\u00E1nka by sa vykreslila r\u00FDchlej\u0161ie, ak by ste si tieto matematick\u00E9 p\u00EDsma nain\u0161talovali priamo do syst\u00E9movej zlo\u017Eky p\u00EDsiem.",imageFonts:"MathJax pou\u017E\u00EDva namiesto miestnych alebo webov\u00FDch p\u00EDsiem obr\u00E1zkov\u00E9 p\u00EDsmo. Preto bude vykres\u013Eovanie pomal\u0161ie ako je obvykl\u00E9 a pri tla\u010Di na Va\u0161ej tla\u010Diarni mo\u017Eno nebude matematika vykreslen\u00E1 v najlep\u0161om rozl\u00ED\u0161en\u00ED.",noFonts:"MathJax nedok\u00E1\u017Ee n\u00E1js\u0165 p\u00EDsmo, ktor\u00FDm by vykreslil matematiku, a obr\u00E1zkov\u00E9 p\u00EDsma nie s\u00FA k dispoz\u00EDcii, tak\u017Ee sa bude pou\u017E\u00EDva\u0165 be\u017En\u00E9 znaky Unicode v n\u00E1deji, \u017Ee ich v\u00E1\u0161 prehliada\u010D dok\u00E1\u017Ee zobrazi\u0165. Niektor\u00E9 znaky sa mo\u017Eno nezobrazia spr\u00E1vne alebo dokonca v\u00F4bec.",webFonts:"V\u00E4\u010D\u0161ina modern\u00FDch prehliada\u010Dov umo\u017E\u0148uje stiahnutie p\u00EDsiem cez web. Aktualiz\u00E1cia na nov\u0161iu verziu prehliada\u010Da (alebo zmena prehliada\u010Da) by mohla zlep\u0161i\u0165 zobrazenie matematiky na tejto str\u00E1nke.",fonts:"MathJax m\u00F4\u017Ee pou\u017E\u00EDva\u0165 bu\u010F [p\u00EDsma STIX](%1) alebo [MathJaxov\u00E9 TeXov\u00E9 p\u00EDsma](%2). Stiahnite a nain\u0161talujte si jedny z nich, aby ste si MathJax u\u017Eili lep\u0161ie.",STIXPage:"Tato str\u00E1nka je vytvoren\u00E1 na pou\u017Eitie s [p\u00EDsmami STIX](%1). Stiahnite a nain\u0161talujte si tieto p\u00EDsma, aby ste si lep\u0161ie u\u017Eili MathJax.",TeXPage:"Tato str\u00E1nka je vytvoren\u00E1 na pou\u017Eitie s [MathJaxov\u00FDmi TeXov\u00FDmi p\u00EDsmy](%1). Pre lep\u0161ie vyu\u017E\u00EDvanie MathJaxu si stiahnite a nain\u0161talujte tieto p\u00EDsma."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/FontWarnings.js");
+MathJax.Localization.addTranslation("sk","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax pou\u017E\u00EDva k zobrazeniu matematiky na tejto str\u00E1nke webov\u00E9 p\u00EDsma. T\u00FDm trv\u00E1 stiahnutie nejak\u00FA dobu, tak\u017Ee str\u00E1nka by sa vykreslila r\u00FDchlej\u0161ie, ak by ste si tieto matematick\u00E9 p\u00EDsma nain\u0161talovali priamo do syst\u00E9movej zlo\u017Eky p\u00EDsiem.",imageFonts:"MathJax pou\u017E\u00EDva namiesto miestnych alebo webov\u00FDch p\u00EDsiem obr\u00E1zkov\u00E9 p\u00EDsmo. Preto bude vykres\u013Eovanie pomal\u0161ie ako je obvykl\u00E9 a pri tla\u010Di na Va\u0161ej tla\u010Diarni mo\u017Eno nebude matematika vykreslen\u00E1 v najlep\u0161om rozl\u00ED\u0161en\u00ED.",noFonts:"MathJax nedok\u00E1\u017Ee n\u00E1js\u0165 p\u00EDsmo, ktor\u00FDm by vykreslil matematiku, a obr\u00E1zkov\u00E9 p\u00EDsma nie s\u00FA k dispoz\u00EDcii, tak\u017Ee sa bude pou\u017E\u00EDva\u0165 be\u017En\u00E9 znaky Unicode v n\u00E1deji, \u017Ee ich v\u00E1\u0161 prehliada\u010D dok\u00E1\u017Ee zobrazi\u0165. Niektor\u00E9 znaky sa mo\u017Eno nezobrazia spr\u00E1vne alebo dokonca v\u00F4bec.",webFonts:"V\u00E4\u010D\u0161ina modern\u00FDch prehliada\u010Dov umo\u017E\u0148uje stiahnutie p\u00EDsiem cez web. Aktualiz\u00E1cia na nov\u0161iu verziu prehliada\u010Da (alebo zmena prehliada\u010Da) by mohla zlep\u0161i\u0165 zobrazenie matematiky na tejto str\u00E1nke.",fonts:"MathJax m\u00F4\u017Ee pou\u017E\u00EDva\u0165 bu\u010F [p\u00EDsma STIX](%1) alebo [MathJaxov\u00E9 TeXov\u00E9 p\u00EDsma](%2). Stiahnite a nain\u0161talujte si jedny z nich, aby ste si MathJax u\u017Eili lep\u0161ie.",STIXPage:"Tato str\u00E1nka je vytvoren\u00E1 na pou\u017Eitie s [p\u00EDsmami STIX](%1). Stiahnite a nain\u0161talujte si tieto p\u00EDsma, aby ste si lep\u0161ie u\u017Eili MathJax.",TeXPage:"Tato str\u00E1nka je vytvoren\u00E1 na pou\u017Eitie s [MathJaxov\u00FDmi TeXov\u00FDmi p\u00EDsmy](%1). Pre lep\u0161ie vyu\u017E\u00EDvanie MathJaxu si stiahnite a nain\u0161talujte tieto p\u00EDsma."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/FontWarnings.js");
diff --git a/localization/sk/HTML-CSS.js b/localization/sk/HTML-CSS.js
index 0d3ab8f2a8..b49c3040d9 100644
--- a/localization/sk/HTML-CSS.js
+++ b/localization/sk/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sk/HTML-CSS.js
+ *  /MathJax-v2/localization/sk/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sk","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Na\u010D\u00EDtava sa webov\u00FD font %1",CantLoadWebFont:"Nepodarilo sa na\u010D\u00EDta\u0165 webov\u00FD font %1",FirefoxCantLoadWebFont:"Firefox nedok\u00E1\u017Ee na\u010D\u00EDta\u0165 webov\u00E9 fonty zo vzdialen\u00E9ho hostite\u013Ea",CantFindFontUsing:"Nepodarilo sa n\u00E1js\u0165 platn\u00FD font pomocou %1",WebFontsNotAvailable:"Webov\u00E9 fonty nie s\u00FA k dispoz\u00EDcii. Namiesto toho s\u00FA pou\u017Eit\u00E9 obr\u00E1zkov\u00E9 fonty."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/HTML-CSS.js");
+MathJax.Localization.addTranslation("sk","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Na\u010D\u00EDtava sa webov\u00FD font %1",CantLoadWebFont:"Nepodarilo sa na\u010D\u00EDta\u0165 webov\u00FD font %1",FirefoxCantLoadWebFont:"Firefox nedok\u00E1\u017Ee na\u010D\u00EDta\u0165 webov\u00E9 fonty zo vzdialen\u00E9ho hostite\u013Ea",CantFindFontUsing:"Nepodarilo sa n\u00E1js\u0165 platn\u00FD font pomocou %1",WebFontsNotAvailable:"Webov\u00E9 fonty nie s\u00FA k dispoz\u00EDcii. Namiesto toho s\u00FA pou\u017Eit\u00E9 obr\u00E1zkov\u00E9 fonty."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/HTML-CSS.js");
diff --git a/localization/sk/HelpDialog.js b/localization/sk/HelpDialog.js
index 5d74e09a08..02ab1e6427 100644
--- a/localization/sk/HelpDialog.js
+++ b/localization/sk/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sk/HelpDialog.js
+ *  /MathJax-v2/localization/sk/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sk","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Pomoc k MathJaxu",MathJax:"*MathJax* je JavaScriptov\u00E1 kni\u017Enica, ktor\u00E1 autorom str\u00E1nok umo\u017E\u0148uje zahrn\u00FA\u0165 do str\u00E1nok matematiku. Ako \u010Ditate\u013E sa nemus\u00EDte o ni\u010D stara\u0165.",Browsers:"*Prehliada\u010De*: MathJax pracuje vo v\u0161etk\u00FDch modern\u00FDch prehliada\u010Doch, vr\u00E1tane IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ a v\u00E4\u010D\u0161ine mobiln\u00FDch prehliada\u010Dov.",Menu:"*Matematick\u00E9 menu*: MathJax prid\u00E1va k rovniciam kontextov\u00E9 menu. Pre zobrazenie menu kliknite prav\u00FDm tla\u010Didlom my\u0161i alebo s podr\u017Ean\u00EDm kl\u00E1vesy Ctrl na ktor\u00FAko\u013Evek matematiku.",ShowMath:"*Zobrazi\u0165 matematiku ako* v\u00E1m umo\u017En\u00ED prehliadnu\u0165 si zdrojov\u00FD k\u00F3d vzorca pre skop\u00EDrovanie (ako MathML alebo v p\u00F4vodnom form\u00E1te).",Settings:"*Nastavenia* v\u00E1m umo\u017E\u0148uj\u00FA prisp\u00F4sobi\u0165 si niektor\u00E9 funkcie MathJaxu, napr. ve\u013Ekos\u0165 matematiky alebo mechanizmy pou\u017E\u00EDvan\u00E9 k zobrazovaniu rovn\u00EDc.",Language:"*Jazyk* v\u00E1m umo\u017En\u00ED zvoli\u0165 si jazyk pou\u017E\u00EDvan\u00FD MathJaxem pre menu a chybov\u00E9 hl\u00E1senia.",Zoom:"*Matematick\u00FD zoom*: Ak v\u00E1m \u010D\u00EDtanie rovnice rob\u00ED probl\u00E9my, Mathjax V\u00E1m umo\u017En\u00ED ich zv\u00E4\u010D\u0161i\u0165, aby ste ju lep\u0161ie videli.",Accessibilty:"*Dostupnos\u0165*: MathJax automaticky funguje s \u010D\u00EDta\u010Dkami obrazovky, aby matematiku spr\u00EDstupnil zrakovo postihnut\u00FDm.",Fonts:"*P\u00EDsma*: MathJax bude pou\u017E\u00EDva\u0165 ist\u00E9 matematick\u00E9 p\u00EDsma, ak ich m\u00E1te v po\u010D\u00EDta\u010Di nain\u0161talovan\u00E9; v opa\u010Dnom pr\u00EDpade pou\u017Eije p\u00EDsma webov\u00E9. Napriek tomu, \u017Ee to nie je nutn\u00E9, lok\u00E1lne nain\u0161talovan\u00E9 p\u00EDsma ur\u00FDchlia s\u00E1dzanie. Odpor\u00FA\u010Dame nain\u0161talova\u0165 [p\u00EDsma STIX](%1).",CloseDialog:"Zavri\u0165 okno s n\u00E1povedou"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/HelpDialog.js");
+MathJax.Localization.addTranslation("sk","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Pomoc k MathJaxu",MathJax:"*MathJax* je JavaScriptov\u00E1 kni\u017Enica, ktor\u00E1 autorom str\u00E1nok umo\u017E\u0148uje zahrn\u00FA\u0165 do str\u00E1nok matematiku. Ako \u010Ditate\u013E sa nemus\u00EDte o ni\u010D stara\u0165.",Browsers:"*Prehliada\u010De*: MathJax pracuje vo v\u0161etk\u00FDch modern\u00FDch prehliada\u010Doch, vr\u00E1tane IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ a v\u00E4\u010D\u0161ine mobiln\u00FDch prehliada\u010Dov.",Menu:"*Matematick\u00E9 menu*: MathJax prid\u00E1va k rovniciam kontextov\u00E9 menu. Pre zobrazenie menu kliknite prav\u00FDm tla\u010Didlom my\u0161i alebo s podr\u017Ean\u00EDm kl\u00E1vesy Ctrl na ktor\u00FAko\u013Evek matematiku.",ShowMath:"*Zobrazi\u0165 matematiku ako* v\u00E1m umo\u017En\u00ED prehliadnu\u0165 si zdrojov\u00FD k\u00F3d vzorca pre skop\u00EDrovanie (ako MathML alebo v p\u00F4vodnom form\u00E1te).",Settings:"*Nastavenia* v\u00E1m umo\u017E\u0148uj\u00FA prisp\u00F4sobi\u0165 si niektor\u00E9 funkcie MathJaxu, napr. ve\u013Ekos\u0165 matematiky alebo mechanizmy pou\u017E\u00EDvan\u00E9 k zobrazovaniu rovn\u00EDc.",Language:"*Jazyk* v\u00E1m umo\u017En\u00ED zvoli\u0165 si jazyk pou\u017E\u00EDvan\u00FD MathJaxem pre menu a chybov\u00E9 hl\u00E1senia.",Zoom:"*Matematick\u00FD zoom*: Ak v\u00E1m \u010D\u00EDtanie rovnice rob\u00ED probl\u00E9my, Mathjax V\u00E1m umo\u017En\u00ED ich zv\u00E4\u010D\u0161i\u0165, aby ste ju lep\u0161ie videli.",Accessibilty:"*Dostupnos\u0165*: MathJax automaticky funguje s \u010D\u00EDta\u010Dkami obrazovky, aby matematiku spr\u00EDstupnil zrakovo postihnut\u00FDm.",Fonts:"*P\u00EDsma*: MathJax bude pou\u017E\u00EDva\u0165 ist\u00E9 matematick\u00E9 p\u00EDsma, ak ich m\u00E1te v po\u010D\u00EDta\u010Di nain\u0161talovan\u00E9; v opa\u010Dnom pr\u00EDpade pou\u017Eije p\u00EDsma webov\u00E9. Napriek tomu, \u017Ee to nie je nutn\u00E9, lok\u00E1lne nain\u0161talovan\u00E9 p\u00EDsma ur\u00FDchlia s\u00E1dzanie. Odpor\u00FA\u010Dame nain\u0161talova\u0165 [p\u00EDsma STIX](%1).",CloseDialog:"Zavri\u0165 okno s n\u00E1povedou"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/HelpDialog.js");
diff --git a/localization/sk/MathML.js b/localization/sk/MathML.js
index cd6b34442e..19c60cba41 100644
--- a/localization/sk/MathML.js
+++ b/localization/sk/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sk/MathML.js
+ *  /MathJax-v2/localization/sk/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sk","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Chybn\u00FD mglyph: %1",BadMglyphFont:"Nevhodn\u00E9 p\u00EDsmo: %1",MathPlayer:"MathJax nedok\u00E1zal spusti\u0165 MathPlayer.\n\nAk nie je MathPlayer nain\u0161talovan\u00FD, budete si ho musie\u0165 najprv nain\u0161talova\u0165.\nInak mo\u017Eno spustenie ovl\u00E1dac\u00EDch prvkov ActiveX br\u00E1ni va\u0161e bezpe\u010Dnostn\u00E9\nnastavenie. Kliknite v ponuke N\u00E1stroje na polo\u017Eku Mo\u017Enosti Internetu,\nvyberte z\u00E1lo\u017Eku Zabezpe\u010Denie a kliknite na tla\u010Didlo Vlastn\u00E1 \u00FArove\u0148.\nSkontrolujte, \u010Di s\u00FA povolen\u00E9 mo\u017Enosti \u201ESp\u00FA\u0161\u0165a\u0165 ovl\u00E1dacie prvky ActiveX\u201C\na \u201EChovanie skriptov a bin\u00E1rnych s\u00FAborov\u201C.\n\nMoment\u00E1lne uvid\u00EDte miesto vys\u00E1dzanej matematiky chybov\u00E9 hl\u00E1senia.",CantCreateXMLParser:"MathJax nem\u00F4\u017Ee vytvori\u0165 syntaktick\u00FD analyz\u00E1tor XML pre MathML.\nSkontrolujte, \u010Di m\u00E1te povolen\u00E9 nastavenie \u201ESkriptova\u0165 ovl\u00E1dacie\nprvky ActiveX ozna\u010Den\u00E9 ako bezpe\u010Dn\u00E9\u201C (v ponuke N\u00E1stroje\nkliknite na polo\u017Eku Mo\u017Enosti Internetu, vyberte z\u00E1lo\u017Eku\nZabezpe\u010Denie a kliknite na tla\u010Didlo Vlastn\u00E1 \u00FArove\u0148).\n\nMathJax nebude m\u00F4c\u0165 spracov\u00E1va\u0165 rovnice v MathML",UnknownNodeType:"Nezn\u00E1my typ uzla: %1",UnexpectedTextNode:"Neo\u010Dak\u00E1van\u00FD textov\u00FD uzol: %1",ErrorParsingMathML:"Chyba pri anal\u00FDze MathML",ParsingError:"Chyba pri anal\u00FDze MathML: %1",MathMLSingleElement:"MathML mus\u00ED by\u0165 tvoren\u00E9 jedin\u00FDm elementom",MathMLRootElement:"MathML mus\u00ED by\u0165 tvoren\u00E9 elementom \u003Cmath\u003E, nie %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/MathML.js");
+MathJax.Localization.addTranslation("sk","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"Chybn\u00FD mglyph: %1",BadMglyphFont:"Nevhodn\u00E9 p\u00EDsmo: %1",MathPlayer:"MathJax nedok\u00E1zal spusti\u0165 MathPlayer.\n\nAk nie je MathPlayer nain\u0161talovan\u00FD, budete si ho musie\u0165 najprv nain\u0161talova\u0165.\nInak mo\u017Eno spustenie ovl\u00E1dac\u00EDch prvkov ActiveX br\u00E1ni va\u0161e bezpe\u010Dnostn\u00E9\nnastavenie. Kliknite v ponuke N\u00E1stroje na polo\u017Eku Mo\u017Enosti Internetu,\nvyberte z\u00E1lo\u017Eku Zabezpe\u010Denie a kliknite na tla\u010Didlo Vlastn\u00E1 \u00FArove\u0148.\nSkontrolujte, \u010Di s\u00FA povolen\u00E9 mo\u017Enosti \u201ESp\u00FA\u0161\u0165a\u0165 ovl\u00E1dacie prvky ActiveX\u201C\na \u201EChovanie skriptov a bin\u00E1rnych s\u00FAborov\u201C.\n\nMoment\u00E1lne uvid\u00EDte miesto vys\u00E1dzanej matematiky chybov\u00E9 hl\u00E1senia.",CantCreateXMLParser:"MathJax nem\u00F4\u017Ee vytvori\u0165 syntaktick\u00FD analyz\u00E1tor XML pre MathML.\nSkontrolujte, \u010Di m\u00E1te povolen\u00E9 nastavenie \u201ESkriptova\u0165 ovl\u00E1dacie\nprvky ActiveX ozna\u010Den\u00E9 ako bezpe\u010Dn\u00E9\u201C (v ponuke N\u00E1stroje\nkliknite na polo\u017Eku Mo\u017Enosti Internetu, vyberte z\u00E1lo\u017Eku\nZabezpe\u010Denie a kliknite na tla\u010Didlo Vlastn\u00E1 \u00FArove\u0148).\n\nMathJax nebude m\u00F4c\u0165 spracov\u00E1va\u0165 rovnice v MathML",UnknownNodeType:"Nezn\u00E1my typ uzla: %1",UnexpectedTextNode:"Neo\u010Dak\u00E1van\u00FD textov\u00FD uzol: %1",ErrorParsingMathML:"Chyba pri anal\u00FDze MathML",ParsingError:"Chyba pri anal\u00FDze MathML: %1",MathMLSingleElement:"MathML mus\u00ED by\u0165 tvoren\u00E9 jedin\u00FDm elementom",MathMLRootElement:"MathML mus\u00ED by\u0165 tvoren\u00E9 elementom \u003Cmath\u003E, nie %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/MathML.js");
diff --git a/localization/sk/MathMenu.js b/localization/sk/MathMenu.js
index 09c8b26bff..6445e01570 100644
--- a/localization/sk/MathMenu.js
+++ b/localization/sk/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sk/MathMenu.js
+ *  /MathJax-v2/localization/sk/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sk","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Zobrazi\u0165 matematiku ako",MathMLcode:"MathML k\u00F3d",OriginalMathML:"P\u00F4vodn\u00FD MathML",TeXCommands:"Pr\u00EDkazy TeXu",AsciiMathInput:"Vstup AsciiMathML",Original:"P\u00F4vodn\u00E1 forma",ErrorMessage:"Chybov\u00E9 hl\u00E1senie",Annotation:"Anot\u00E1cia",TeX:"TeX",StarMath:"StarMath",Maple:"Javor",ContentMathML:"Obsah MathML",OpenMath:"OpenMath",texHints:"Zobrazi\u0165 TeX tipy v MathML",Settings:"Nastavenia matematiky",ZoomTrigger:"Aktiv\u00E1cia zoomu",Hover:"Prejdenie my\u0161ou",Click:"Kliknutie",DoubleClick:"Dvojit\u00E9 kliknutie",NoZoom:"Bez zoomu",TriggerRequires:"Aktiv\u00E1cia vy\u017Eaduje:",Option:"Mo\u017Enos\u0165",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"Miera zoomu",Renderer:"Vykres\u013Eovanie matematiky",MPHandles:"Necha\u0165 MathPlayer spracov\u00E1va\u0165:",MenuEvents:"Udalosti menu",MouseEvents:"Udalosti my\u0161i",MenuAndMouse:"Udalosti my\u0161i a menu",FontPrefs:"Preferencia typu p\u00EDsma",ForHTMLCSS:"Pre HTML-CSS",Auto:"Automaticky",TeXLocal:"TeX (lok\u00E1lny)",TeXWeb:"TeX (webov\u00FD)",TeXImage:"TeX (obr\u00E1zkov\u00FD)",STIXLocal:"STIX (lok\u00E1lny)",STIXWeb:"STIX (webov\u00FD)",AsanaMathWeb:"Asana Math (webov\u00FD)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Kontextov\u00E9 menu",Browser:"Prehliada\u010D",Scale:"\u0160k\u00E1lova\u0165 v\u0161etku matematiku",Discoverable:"Zv\u00FDraznit p\u0159i prejden\u00ED my\u0161ou",Locale:"Jazyk",LoadLocale:"Na\u010D\u00EDta\u0165 z URL\u2026",About:"O MathJaxe",Help:"N\u00E1poveda k MathJaxu",localTeXfonts:"pou\u017E\u00EDvaj\u00FA se lok\u00E1lne p\u00EDsma TeXu",webTeXfonts:"pou\u017E\u00EDvaj\u00FA se webov\u00E9 p\u00EDsma TeXu",imagefonts:"pou\u017E\u00EDvaj\u00FA sa obr\u00E1zkov\u00E9 p\u00EDsma",localSTIXfonts:"pou\u017E\u00EDvaj\u00FA se lok\u00E1lne p\u00EDsma STIX",webSVGfonts:"pou\u017E\u00EDvaj\u00ED se webov\u00E9 SVG p\u00EDsma",genericfonts:"pou\u017E\u00EDvaj\u00ED se generick\u00E1 p\u00EDsma sady Unicode",wofforotffonts:"p\u00EDsma WOFF alebo OTF",eotffonts:"p\u00EDsma EOT",svgfonts:"p\u00EDsma SVG",WebkitNativeMMLWarning:"V\u00E1\u0161 prehliada\u010D zjavne nepodporuje MathML, tak\u017Ee prepnutie na MathML v\u00FDstup m\u00F4\u017Ee zp\u00F4sobi\u0165, \u017Ee bude matematika na tejto str\u00E1nke ne\u010Ditate\u013En\u00E1.",MSIENativeMMLWarning:"Internet Explorer vy\u017Eaduje plugin MathPlayer na spracovanie v\u00FDstupu MathML",OperaNativeMMLWarning:"Podpora prehliada\u010Da Opera pre MathML je obmedzen\u00E1, \u010Di\u017Ee prechod k v\u00FDstupu MathML m\u00F4\u017Ee sp\u00F4sobi\u0165 chab\u00E9 vykres\u013Eovanie niektor\u00FDch v\u00FDrazov",SafariNativeMMLWarning:"Vstavan\u00E1 podpora v\u00E1\u0161ho prehliada\u010Da pre MathML neimplementuje v\u0161etky vymo\u017Eenosti pou\u017E\u00EDvan\u00E9 MathJax-om, \u010Do m\u00F4\u017Ee sp\u00F4sobi\u0165 chab\u00E9 vykres\u013Eovanie ist\u00FDch v\u00FDrazov",FirefoxNativeMMLWarning:"Vstavan\u00E1 podpora MathML v\u00E1\u0161ho prehliada\u010Da neimplementuje v\u0161etky vymo\u017Eenosti pou\u017E\u00EDvan\u00E9 MathJaxom, \u010Do znamen\u00E1, \u017Ee niektor\u00E9 v\u00FDrazy sa nebud\u00FA vykres\u013Eova\u0165 spr\u00E1vne.",MSIESVGWarning:"SVG nie je implementovan\u00E9 v prehliada\u010Doch Internet Explorer pred verziou IE9 a v emul\u00E1ciach verzi\u00ED IE8 \u010Di ni\u017E\u0161\u00EDch. Prepnutie na v\u00FDstup SVG sp\u00F4sob\u00ED, \u017Ee sa matematika nebude zobrazova\u0165 spr\u00E1vne.",LoadURL:"Na\u010D\u00EDta\u0165 d\u00E1ta prekladu z tejto adresy URL:",BadURL:"Adresa URL mus\u00ED by\u0165 adresou s\u00FAboru p\u00EDsan\u00E9ho v JavaScripte, ktor\u00FD definuje d\u00E1ta prekladu pre MathJax. S\u00FAbory JavaScriptu maj\u00FA zvy\u010Dajne predponu '.js'.",BadData:"Nepodarilo sa na\u010D\u00EDta\u0165 d\u00E1ta prekladu z %1",SwitchAnyway:"Prajete si aj napriek tomu prepn\u00FA\u0165 vykres\u013Eovanie?\n\n(Stla\u010Dte OK pre prepnutie, ZRU\u0160I\u0164 pre zru\u0161enie s aktu\u00E1lnym vykres\u013Eovan\u00EDm)",ScaleMath:"Na\u0161k\u00E1lova\u0165 v\u0161etku matematiku (v porovnan\u00ED s okolit\u00FDm textom) o",NonZeroScale:"\u0160k\u00E1la nesmie by\u0165 nulov\u00E1",PercentScale:"\u0160k\u00E1la mus\u00ED by\u0165 percentom (napr\u00EDklad 120%%)",IE8warning:"T\u00FDmto deaktivujete menu MathJaxu a mo\u017Enosti zoomu, no pou\u017Eit\u00EDm kombin\u00E1cie Alt+Click na v\u00FDraz z\u00EDskate menu MathJaxu\n\nNaozaj si prajete zmeni\u0165 nastavenia MathPlayer-u?",IE9warning:"Kontextov\u00E9 menu MathJaxu bude vypnut\u00E9, no pou\u017Eite kombin\u00E1ciu Alt+Click na v\u00FDraz pre z\u00EDskanie nov\u00E9ho menu",NoOriginalForm:"P\u00F4vodn\u00E1 forma nie je dostupn\u00E1",Close:"Zatvori\u0165",EqSource:"Zdroj rovn\u00EDc pre MathJax",CloseAboutDialog:'Zatvori\u0165 okno "O MathJaxe"',FastPreview:"Rychl\u00FD n\u00E1h\u013Ead",AssistiveMML:"Pomocn\u00E9 MathML",InTabOrder:"Zaradit do postupnosti tabul\u00E1torov"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/MathMenu.js");
+MathJax.Localization.addTranslation("sk","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Zobrazi\u0165 matematiku ako",MathMLcode:"MathML k\u00F3d",OriginalMathML:"P\u00F4vodn\u00FD MathML",TeXCommands:"Pr\u00EDkazy TeXu",AsciiMathInput:"Vstup AsciiMathML",Original:"P\u00F4vodn\u00E1 forma",ErrorMessage:"Chybov\u00E9 hl\u00E1senie",Annotation:"Anot\u00E1cia",TeX:"TeX",StarMath:"StarMath",Maple:"Javor",ContentMathML:"Obsah MathML",OpenMath:"OpenMath",texHints:"Zobrazi\u0165 TeX tipy v MathML",Settings:"Nastavenia matematiky",ZoomTrigger:"Aktiv\u00E1cia zoomu",Hover:"Prejdenie my\u0161ou",Click:"Kliknutie",DoubleClick:"Dvojit\u00E9 kliknutie",NoZoom:"Bez zoomu",TriggerRequires:"Aktiv\u00E1cia vy\u017Eaduje:",Option:"Mo\u017Enos\u0165",Alt:"Alt",Command:"Command",Control:"Ctrl",Shift:"Shift",ZoomFactor:"Miera zoomu",Renderer:"Vykres\u013Eovanie matematiky",MPHandles:"Necha\u0165 MathPlayer spracov\u00E1va\u0165:",MenuEvents:"Udalosti menu",MouseEvents:"Udalosti my\u0161i",MenuAndMouse:"Udalosti my\u0161i a menu",FontPrefs:"Preferencia typu p\u00EDsma",ForHTMLCSS:"Pre HTML-CSS",Auto:"Automaticky",TeXLocal:"TeX (lok\u00E1lny)",TeXWeb:"TeX (webov\u00FD)",TeXImage:"TeX (obr\u00E1zkov\u00FD)",STIXLocal:"STIX (lok\u00E1lny)",STIXWeb:"STIX (webov\u00FD)",AsanaMathWeb:"Asana Math (webov\u00FD)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",LatinModernWeb:"Latin Modern (web)",NeoEulerWeb:"Neo Euler (web)",ContextMenu:"Kontextov\u00E9 menu",Browser:"Prehliada\u010D",Scale:"\u0160k\u00E1lova\u0165 v\u0161etku matematiku",Discoverable:"Zv\u00FDraznit p\u0159i prejden\u00ED my\u0161ou",Locale:"Jazyk",LoadLocale:"Na\u010D\u00EDta\u0165 z URL\u2026",About:"O MathJaxe",Help:"N\u00E1poveda k MathJaxu",localTeXfonts:"pou\u017E\u00EDvaj\u00FA se lok\u00E1lne p\u00EDsma TeXu",webTeXfonts:"pou\u017E\u00EDvaj\u00FA se webov\u00E9 p\u00EDsma TeXu",imagefonts:"pou\u017E\u00EDvaj\u00FA sa obr\u00E1zkov\u00E9 p\u00EDsma",localSTIXfonts:"pou\u017E\u00EDvaj\u00FA se lok\u00E1lne p\u00EDsma STIX",webSVGfonts:"pou\u017E\u00EDvaj\u00ED se webov\u00E9 SVG p\u00EDsma",genericfonts:"pou\u017E\u00EDvaj\u00ED se generick\u00E1 p\u00EDsma sady Unicode",wofforotffonts:"p\u00EDsma WOFF alebo OTF",eotffonts:"p\u00EDsma EOT",svgfonts:"p\u00EDsma SVG",WebkitNativeMMLWarning:"V\u00E1\u0161 prehliada\u010D zjavne nepodporuje MathML, tak\u017Ee prepnutie na MathML v\u00FDstup m\u00F4\u017Ee zp\u00F4sobi\u0165, \u017Ee bude matematika na tejto str\u00E1nke ne\u010Ditate\u013En\u00E1.",MSIENativeMMLWarning:"Internet Explorer vy\u017Eaduje plugin MathPlayer na spracovanie v\u00FDstupu MathML",OperaNativeMMLWarning:"Podpora prehliada\u010Da Opera pre MathML je obmedzen\u00E1, \u010Di\u017Ee prechod k v\u00FDstupu MathML m\u00F4\u017Ee sp\u00F4sobi\u0165 chab\u00E9 vykres\u013Eovanie niektor\u00FDch v\u00FDrazov",SafariNativeMMLWarning:"Vstavan\u00E1 podpora v\u00E1\u0161ho prehliada\u010Da pre MathML neimplementuje v\u0161etky vymo\u017Eenosti pou\u017E\u00EDvan\u00E9 MathJax-om, \u010Do m\u00F4\u017Ee sp\u00F4sobi\u0165 chab\u00E9 vykres\u013Eovanie ist\u00FDch v\u00FDrazov",FirefoxNativeMMLWarning:"Vstavan\u00E1 podpora MathML v\u00E1\u0161ho prehliada\u010Da neimplementuje v\u0161etky vymo\u017Eenosti pou\u017E\u00EDvan\u00E9 MathJaxom, \u010Do znamen\u00E1, \u017Ee niektor\u00E9 v\u00FDrazy sa nebud\u00FA vykres\u013Eova\u0165 spr\u00E1vne.",MSIESVGWarning:"SVG nie je implementovan\u00E9 v prehliada\u010Doch Internet Explorer pred verziou IE9 a v emul\u00E1ciach verzi\u00ED IE8 \u010Di ni\u017E\u0161\u00EDch. Prepnutie na v\u00FDstup SVG sp\u00F4sob\u00ED, \u017Ee sa matematika nebude zobrazova\u0165 spr\u00E1vne.",LoadURL:"Na\u010D\u00EDta\u0165 d\u00E1ta prekladu z tejto adresy URL:",BadURL:"Adresa URL mus\u00ED by\u0165 adresou s\u00FAboru p\u00EDsan\u00E9ho v JavaScripte, ktor\u00FD definuje d\u00E1ta prekladu pre MathJax. S\u00FAbory JavaScriptu maj\u00FA zvy\u010Dajne predponu '.js'.",BadData:"Nepodarilo sa na\u010D\u00EDta\u0165 d\u00E1ta prekladu z %1",SwitchAnyway:"Prajete si aj napriek tomu prepn\u00FA\u0165 vykres\u013Eovanie?\n\n(Stla\u010Dte OK pre prepnutie, ZRU\u0160I\u0164 pre zru\u0161enie s aktu\u00E1lnym vykres\u013Eovan\u00EDm)",ScaleMath:"Na\u0161k\u00E1lova\u0165 v\u0161etku matematiku (v porovnan\u00ED s okolit\u00FDm textom) o",NonZeroScale:"\u0160k\u00E1la nesmie by\u0165 nulov\u00E1",PercentScale:"\u0160k\u00E1la mus\u00ED by\u0165 percentom (napr\u00EDklad 120%%)",IE8warning:"T\u00FDmto deaktivujete menu MathJaxu a mo\u017Enosti zoomu, no pou\u017Eit\u00EDm kombin\u00E1cie Alt+Click na v\u00FDraz z\u00EDskate menu MathJaxu\n\nNaozaj si prajete zmeni\u0165 nastavenia MathPlayer-u?",IE9warning:"Kontextov\u00E9 menu MathJaxu bude vypnut\u00E9, no pou\u017Eite kombin\u00E1ciu Alt+Click na v\u00FDraz pre z\u00EDskanie nov\u00E9ho menu",NoOriginalForm:"P\u00F4vodn\u00E1 forma nie je dostupn\u00E1",Close:"Zatvori\u0165",EqSource:"Zdroj rovn\u00EDc pre MathJax",CloseAboutDialog:'Zatvori\u0165 okno "O MathJaxe"',FastPreview:"Rychl\u00FD n\u00E1h\u013Ead",AssistiveMML:"Pomocn\u00E9 MathML",InTabOrder:"Zaradit do postupnosti tabul\u00E1torov"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/MathMenu.js");
diff --git a/localization/sk/TeX.js b/localization/sk/TeX.js
index dbe7de8fdf..d29e679374 100644
--- a/localization/sk/TeX.js
+++ b/localization/sk/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sk/TeX.js
+ *  /MathJax-v2/localization/sk/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sk","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Prebyto\u010Dn\u00E1 otv\u00E1raj\u00FAca alebo uzavieracia z\u00E1tvorka",ExtraCloseMissingOpen:"Prebyto\u010Dn\u00E1 uzavieracia alebo otv\u00E1raj\u00FAca z\u00E1tvorka",MissingLeftExtraRight:"Ch\u00FDbaj\u00FAci \\left alebo prebyto\u010Dn\u00FD \\right",MissingScript:"Ch\u00FDba argument horn\u00E9ho alebo doln\u00E9ho indexu",ExtraLeftMissingRight:"Prebyto\u010Dn\u00FD \\left alebo ch\u00FDbaj\u00FAci \\right",Misplaced:"Chybne umiestnen\u00FD %1",MissingOpenForSub:"Ch\u00FDbaj\u00FAca otv\u00E1racia zlo\u017Een\u00E1 z\u00E1tvorka pre doln\u00FD index",MissingOpenForSup:"Ch\u00FDbaj\u00FAca otv\u00E1racia zlo\u017Een\u00E1 z\u00E1tvorka pre horn\u00FD index",AmbiguousUseOf:"Nejednozna\u010Dn\u00E9 pou\u017Eitie %1",EnvBadEnd:"\\begin{%1} bolo uzavret\u00E9 \\end{%2}",EnvMissingEnd:"Ch\u00FDbaj\u00FAci \\end{%1}",MissingBoxFor:"Ch\u00FDba box pre %1",MissingCloseBrace:"Ch\u00FDba uzavieracia z\u00E1tvorka",UndefinedControlSequence:"Nedefinovan\u00E1 riadiaca sekvencia %1",DoubleExponent:"Dvojit\u00FD exponent: pre jednozna\u010Dnos\u0165 pou\u017Eite zlo\u017Een\u00E9 z\u00E1tvorky",DoubleSubscripts:"Dvojit\u00FD doln\u00FD index: pre jednozna\u010Dnos\u0165 pou\u017Eite zlo\u017Een\u00E9 z\u00E1tvorky",DoubleExponentPrime:"Symbol \u010Diarky sp\u00F4sobil dvojit\u00FD exponent: pre jednozna\u010Dnos\u0165 pou\u017Eite zlo\u017Een\u00E9 z\u00E1tvorky",CantUseHash1:"V matematickom re\u017Eime nem\u00F4\u017Eete pou\u017Ei\u0165 znak \u201E#\u201C pre parametre makier",MisplacedMiddle:"%1 mus\u00ED by\u0165 medzi \\left a \\right",MisplacedLimits:"%1 je povolen\u00E9 len pri oper\u00E1toroch",MisplacedMoveRoot:"%1 sa m\u00F4\u017Ee vyskytn\u00FA\u0165 len v koreni",MultipleCommand:"Viacn\u00E1sobn\u00FD %1",IntegerArg:"Argument pre %1 mus\u00ED by\u0165 cel\u00E9 \u010D\u00EDslo",NotMathMLToken:"%1 nie je primit\u00EDvny element",InvalidMathMLAttr:"Neplatn\u00FD atrib\u00FAt MathML: %1",UnknownAttrForElement:"%1 nie je zn\u00E1mym atrib\u00FAtom pre %2",MaxMacroSub1:"Prekro\u010Den\u00FD maxim\u00E1lny po\u010Det substit\u00FAci\u00ED makra MathJaxu; nejde o rekurz\u00EDvne volanie makra?",MaxMacroSub2:"Prekro\u010Den\u00FD maxim\u00E1lny po\u010Det substit\u00FAci\u00ED MathJaxu; nejde o rekurz\u00EDvne LaTeXov\u00E9 prostredie?",MissingArgFor:"Ch\u00FDba argument pre %1",ExtraAlignTab:"Prebyto\u010Dn\u00FD vyrovn\u00E1vac\u00ED tabul\u00E1tor v texte \\cases",BracketMustBeDimension:"Z\u00E1tvorkov\u00FD argument pre %1 mus\u00ED by\u0165 rozmer",InvalidEnv:"Neplatn\u00E1 premenn\u00E1 prostredia \u201E%1\u201C",UnknownEnv:"Nezn\u00E1me prostredie \u201E%1\u201C",ExtraCloseLooking:"Prebyto\u010Dn\u00E1 uzavieracia z\u00E1tvorka, zatia\u013E \u010Do bolo o\u010Dak\u00E1van\u00E9 %1",MissingCloseBracket:"Pri argumente pre %1 nebola n\u00E1jden\u00E1 uzavieracia \u201E]\u201C",MissingOrUnrecognizedDelim:"Ch\u00FDbaj\u00FAci alebo nerozpoznan\u00FD odde\u013Eova\u010D pre %1",MissingDimOrUnits:"Ch\u00FDbaj\u00FAci rozmer alebo jeho jednotka pre %1",TokenNotFoundForCommand:"Nen\u00E1jden\u00E9 %1 pre %2",MathNotTerminated:"V textovom boxe nie je ukon\u010Den\u00E1 matematika",IllegalMacroParam:"Neplatn\u00FD odkaz na parameter makra",MaxBufferSize:"Prekro\u010Den\u00E1 ve\u013Ekos\u0165 internej pam\u00E4te MathJaxu; nejde o rekurz\u00EDvne volanie makra?",CommandNotAllowedInEnv:"V prostred\u00ED %2 nie je povolen\u00FD %1",MultipleLabel:"Viacn\u00E1sobn\u00E1 defin\u00EDcia ozna\u010Denia %1",CommandAtTheBeginingOfLine:"%1 mus\u00ED by\u0165 umiestnen\u00E9 na za\u010Diatku riadku",IllegalAlign:"Pri %1 uveden\u00E9 neplatn\u00E9 zarovnanie",BadMathStyleFor:"Chybn\u00FD \u0161t\u00FDl matematiky pri %1",PositiveIntegerArg:"Argument %1 mus\u00ED by\u0165 kladn\u00E9 cel\u00E9 \u010D\u00EDslo",ErroneousNestingEq:"Chybn\u00E9 zanorovanie \u0161trukt\u00FAry rovn\u00EDc",MultlineRowsOneCol:"Riadky v prostred\u00ED %1 musia ma\u0165 pr\u00E1ve jeden st\u013Apec",MultipleBBoxProperty:"Pri %2 je %1 uveden\u00E9 dvakr\u00E1t",InvalidBBoxProperty:"\u201E%1\u201C nevyzer\u00E1 ako farba, rozmer paddingu alebo \u0161t\u00FDl",ExtraEndMissingBegin:"Prebato\u010Dn\u00FD %1 alebo ch\u00FDbaj\u00FAci \\begingroup",GlobalNotFollowedBy:"Za %1 ch\u00FDba \\let, \\def alebo \\newcommand",UndefinedColorModel:"Farebn\u00FD model \u201E%1\u201C nie je definovan\u00FD",ModelArg1:"Farebn\u00E9 hodnoty modelu %1 vy\u017Eaduj\u00FA tri \u010D\u00EDsla",InvalidDecimalNumber:"Neplatn\u00E9 desatinn\u00E9 \u010D\u00EDslo",ModelArg2:"Farebn\u00E9 hodnoty modelu %1 musia le\u017Ea\u0165 medzi %2 a %3",InvalidNumber:"Neplatn\u00E9 \u010D\u00EDslo",NewextarrowArg1:"Prv\u00FDm argumentom %1 mus\u00ED by\u0165 n\u00E1zov riadiacej sekvencie",NewextarrowArg2:"Druh\u00FDm argumentom %1 musia by\u0165 dve cel\u00E9 \u010D\u00EDsla oddelen\u00E9 \u010Diarkou",NewextarrowArg3:"Tret\u00EDm argumentom %1 mus\u00ED by\u0165 \u010D\u00EDslo znaku Unicode",NoClosingChar:"Nen\u00E1jden\u00FD uzavierac\u00ED %1",IllegalControlSequenceName:"Neplatn\u00FD n\u00E1zov riadiacej sekvencie pre %1",IllegalParamNumber:"Pre %1 uveden\u00FD neplatn\u00FD po\u010Det parametrov",MissingCS:"Za %1 mus\u00ED by\u0165 riadiaca sekvencia",CantUseHash2:"Chybn\u00E9 pou\u017Eitie # v \u0161abl\u00F3ne pre %1",SequentialParam:"Parametre pre %1 musia by\u0165 \u010D\u00EDslovan\u00E9 postupne",MissingReplacementString:"V defin\u00EDcii %1 ch\u00FDba nahradzuj\u00FAci re\u0165azec",MismatchUseDef:"Pou\u017Eitie %1 nezodpoved\u00E1 jeho defin\u00EDcii",RunawayArgument:"Zbl\u00FAdil\u00FD argument pre %1?",NoClosingDelim:"Nepodarilo sa n\u00E1js\u0165 ukon\u010Dovac\u00ED znak pre %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/TeX.js");
+MathJax.Localization.addTranslation("sk","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Prebyto\u010Dn\u00E1 otv\u00E1raj\u00FAca alebo uzavieracia z\u00E1tvorka",ExtraCloseMissingOpen:"Prebyto\u010Dn\u00E1 uzavieracia alebo otv\u00E1raj\u00FAca z\u00E1tvorka",MissingLeftExtraRight:"Ch\u00FDbaj\u00FAci \\left alebo prebyto\u010Dn\u00FD \\right",MissingScript:"Ch\u00FDba argument horn\u00E9ho alebo doln\u00E9ho indexu",ExtraLeftMissingRight:"Prebyto\u010Dn\u00FD \\left alebo ch\u00FDbaj\u00FAci \\right",Misplaced:"Chybne umiestnen\u00FD %1",MissingOpenForSub:"Ch\u00FDbaj\u00FAca otv\u00E1racia zlo\u017Een\u00E1 z\u00E1tvorka pre doln\u00FD index",MissingOpenForSup:"Ch\u00FDbaj\u00FAca otv\u00E1racia zlo\u017Een\u00E1 z\u00E1tvorka pre horn\u00FD index",AmbiguousUseOf:"Nejednozna\u010Dn\u00E9 pou\u017Eitie %1",EnvBadEnd:"\\begin{%1} bolo uzavret\u00E9 \\end{%2}",EnvMissingEnd:"Ch\u00FDbaj\u00FAci \\end{%1}",MissingBoxFor:"Ch\u00FDba box pre %1",MissingCloseBrace:"Ch\u00FDba uzavieracia z\u00E1tvorka",UndefinedControlSequence:"Nedefinovan\u00E1 riadiaca sekvencia %1",DoubleExponent:"Dvojit\u00FD exponent: pre jednozna\u010Dnos\u0165 pou\u017Eite zlo\u017Een\u00E9 z\u00E1tvorky",DoubleSubscripts:"Dvojit\u00FD doln\u00FD index: pre jednozna\u010Dnos\u0165 pou\u017Eite zlo\u017Een\u00E9 z\u00E1tvorky",DoubleExponentPrime:"Symbol \u010Diarky sp\u00F4sobil dvojit\u00FD exponent: pre jednozna\u010Dnos\u0165 pou\u017Eite zlo\u017Een\u00E9 z\u00E1tvorky",CantUseHash1:"V matematickom re\u017Eime nem\u00F4\u017Eete pou\u017Ei\u0165 znak \u201E#\u201C pre parametre makier",MisplacedMiddle:"%1 mus\u00ED by\u0165 medzi \\left a \\right",MisplacedLimits:"%1 je povolen\u00E9 len pri oper\u00E1toroch",MisplacedMoveRoot:"%1 sa m\u00F4\u017Ee vyskytn\u00FA\u0165 len v koreni",MultipleCommand:"Viacn\u00E1sobn\u00FD %1",IntegerArg:"Argument pre %1 mus\u00ED by\u0165 cel\u00E9 \u010D\u00EDslo",NotMathMLToken:"%1 nie je primit\u00EDvny element",InvalidMathMLAttr:"Neplatn\u00FD atrib\u00FAt MathML: %1",UnknownAttrForElement:"%1 nie je zn\u00E1mym atrib\u00FAtom pre %2",MaxMacroSub1:"Prekro\u010Den\u00FD maxim\u00E1lny po\u010Det substit\u00FAci\u00ED makra MathJaxu; nejde o rekurz\u00EDvne volanie makra?",MaxMacroSub2:"Prekro\u010Den\u00FD maxim\u00E1lny po\u010Det substit\u00FAci\u00ED MathJaxu; nejde o rekurz\u00EDvne LaTeXov\u00E9 prostredie?",MissingArgFor:"Ch\u00FDba argument pre %1",ExtraAlignTab:"Prebyto\u010Dn\u00FD vyrovn\u00E1vac\u00ED tabul\u00E1tor v texte \\cases",BracketMustBeDimension:"Z\u00E1tvorkov\u00FD argument pre %1 mus\u00ED by\u0165 rozmer",InvalidEnv:"Neplatn\u00E1 premenn\u00E1 prostredia \u201E%1\u201C",UnknownEnv:"Nezn\u00E1me prostredie \u201E%1\u201C",ExtraCloseLooking:"Prebyto\u010Dn\u00E1 uzavieracia z\u00E1tvorka, zatia\u013E \u010Do bolo o\u010Dak\u00E1van\u00E9 %1",MissingCloseBracket:"Pri argumente pre %1 nebola n\u00E1jden\u00E1 uzavieracia \u201E]\u201C",MissingOrUnrecognizedDelim:"Ch\u00FDbaj\u00FAci alebo nerozpoznan\u00FD odde\u013Eova\u010D pre %1",MissingDimOrUnits:"Ch\u00FDbaj\u00FAci rozmer alebo jeho jednotka pre %1",TokenNotFoundForCommand:"Nen\u00E1jden\u00E9 %1 pre %2",MathNotTerminated:"V textovom boxe nie je ukon\u010Den\u00E1 matematika",IllegalMacroParam:"Neplatn\u00FD odkaz na parameter makra",MaxBufferSize:"Prekro\u010Den\u00E1 ve\u013Ekos\u0165 internej pam\u00E4te MathJaxu; nejde o rekurz\u00EDvne volanie makra?",CommandNotAllowedInEnv:"V prostred\u00ED %2 nie je povolen\u00FD %1",MultipleLabel:"Viacn\u00E1sobn\u00E1 defin\u00EDcia ozna\u010Denia %1",CommandAtTheBeginingOfLine:"%1 mus\u00ED by\u0165 umiestnen\u00E9 na za\u010Diatku riadku",IllegalAlign:"Pri %1 uveden\u00E9 neplatn\u00E9 zarovnanie",BadMathStyleFor:"Chybn\u00FD \u0161t\u00FDl matematiky pri %1",PositiveIntegerArg:"Argument %1 mus\u00ED by\u0165 kladn\u00E9 cel\u00E9 \u010D\u00EDslo",ErroneousNestingEq:"Chybn\u00E9 zanorovanie \u0161trukt\u00FAry rovn\u00EDc",MultlineRowsOneCol:"Riadky v prostred\u00ED %1 musia ma\u0165 pr\u00E1ve jeden st\u013Apec",MultipleBBoxProperty:"Pri %2 je %1 uveden\u00E9 dvakr\u00E1t",InvalidBBoxProperty:"\u201E%1\u201C nevyzer\u00E1 ako farba, rozmer paddingu alebo \u0161t\u00FDl",ExtraEndMissingBegin:"Prebato\u010Dn\u00FD %1 alebo ch\u00FDbaj\u00FAci \\begingroup",GlobalNotFollowedBy:"Za %1 ch\u00FDba \\let, \\def alebo \\newcommand",UndefinedColorModel:"Farebn\u00FD model \u201E%1\u201C nie je definovan\u00FD",ModelArg1:"Farebn\u00E9 hodnoty modelu %1 vy\u017Eaduj\u00FA tri \u010D\u00EDsla",InvalidDecimalNumber:"Neplatn\u00E9 desatinn\u00E9 \u010D\u00EDslo",ModelArg2:"Farebn\u00E9 hodnoty modelu %1 musia le\u017Ea\u0165 medzi %2 a %3",InvalidNumber:"Neplatn\u00E9 \u010D\u00EDslo",NewextarrowArg1:"Prv\u00FDm argumentom %1 mus\u00ED by\u0165 n\u00E1zov riadiacej sekvencie",NewextarrowArg2:"Druh\u00FDm argumentom %1 musia by\u0165 dve cel\u00E9 \u010D\u00EDsla oddelen\u00E9 \u010Diarkou",NewextarrowArg3:"Tret\u00EDm argumentom %1 mus\u00ED by\u0165 \u010D\u00EDslo znaku Unicode",NoClosingChar:"Nen\u00E1jden\u00FD uzavierac\u00ED %1",IllegalControlSequenceName:"Neplatn\u00FD n\u00E1zov riadiacej sekvencie pre %1",IllegalParamNumber:"Pre %1 uveden\u00FD neplatn\u00FD po\u010Det parametrov",MissingCS:"Za %1 mus\u00ED by\u0165 riadiaca sekvencia",CantUseHash2:"Chybn\u00E9 pou\u017Eitie # v \u0161abl\u00F3ne pre %1",SequentialParam:"Parametre pre %1 musia by\u0165 \u010D\u00EDslovan\u00E9 postupne",MissingReplacementString:"V defin\u00EDcii %1 ch\u00FDba nahradzuj\u00FAci re\u0165azec",MismatchUseDef:"Pou\u017Eitie %1 nezodpoved\u00E1 jeho defin\u00EDcii",RunawayArgument:"Zbl\u00FAdil\u00FD argument pre %1?",NoClosingDelim:"Nepodarilo sa n\u00E1js\u0165 ukon\u010Dovac\u00ED znak pre %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/TeX.js");
diff --git a/localization/sk/sk.js b/localization/sk/sk.js
index 5c86166995..c3042cde0a 100644
--- a/localization/sk/sk.js
+++ b/localization/sk/sk.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sk/sk.js
+ *  /MathJax-v2/localization/sk/sk.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sk",null,{menuTitle:"sloven\u010Dina",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Chyba spracovania matematiky",MathError:"Chyba matematiky",LoadFile:"Na\u010D\u00EDtava sa %1",Loading:"Na\u010D\u00EDtavam",LoadFailed:"Nepodarilo sa na\u010D\u00EDta\u0165 s\u00FAbor: %1",ProcessMath:"Spracuje sa matematika: %1 %%",Processing:"Sprac\u00FAvam",TypesetMath:"S\u00E1dzanie matematiky: %1 %%",Typesetting:"S\u00E1dzanie",MathJaxNotSupported:"V\u00E1\u0161 prehliada\u010D nepodporuje MathJax",ErrorTips:"Tipy k ladeniu: pou\u017Eite %%1, prehliadajte %%2 v konzole prehliada\u010Da"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}if(a===2||a===3||a===4){return 2}return 3},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/sk.js");
+MathJax.Localization.addTranslation("sk",null,{menuTitle:"sloven\u010Dina",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"Chyba spracovania matematiky",MathError:"Chyba matematiky",LoadFile:"Na\u010D\u00EDtava sa %1",Loading:"Na\u010D\u00EDtavam",LoadFailed:"Nepodarilo sa na\u010D\u00EDta\u0165 s\u00FAbor: %1",ProcessMath:"Spracuje sa matematika: %1 %%",Processing:"Sprac\u00FAvam",TypesetMath:"S\u00E1dzanie matematiky: %1 %%",Typesetting:"S\u00E1dzanie",MathJaxNotSupported:"V\u00E1\u0161 prehliada\u010D nepodporuje MathJax",ErrorTips:"Tipy k ladeniu: pou\u017Eite %%1, prehliadajte %%2 v konzole prehliada\u010Da"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}if(a===2||a===3||a===4){return 2}return 3},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/sk/sk.js");
diff --git a/localization/sl/FontWarnings.js b/localization/sl/FontWarnings.js
index 64fda0660a..6bc8185116 100644
--- a/localization/sl/FontWarnings.js
+++ b/localization/sl/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sl/FontWarnings.js
+ *  /MathJax-v2/localization/sl/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax za prikaza matematike na tej strani uporablja spletne pisave. Da se te nalo\u017Eijo, vzame nekaj \u010Dasa. Stran bi se hitreje izrisovala, \u010De bi bile matemati\u010Dne pisave name\u0161\u010Dene neposredno v mapi s pisavami va\u0161ega sistema.",imageFonts:"MathJax ne uporablja lokalnih ali spletnih pisav, temve\u010D svoje slikovne pisave. Izrisovanje bo zato po\u010Dasnej\u0161e, matematika pa se morda ne bo natisnila v popolni lo\u010Dljivosti va\u0161ega tiskalnika.",noFonts:"MathJax ne more najti pisave za prikaz matematike, slikovne pisave pa niso na razpolago, zato v upanju, da jih bo va\u0161 brskalnik lahko prikazal, uporablja generi\u010Dne unikodne znake. Nekateri znaki morda ne bodo prikazani pravilno ali pa sploh ne bodo prikazani.",webFonts:"Ve\u010Dina sodobnih brskalnikov omogo\u010Da prenos pisav prek spleta. S posodobitvijo (ali zamenjavo) svojega brskalnika boste morda lahko izbolj\u0161ali kakovost matematike na tej strani.",fonts:"MathJax lahko uporablja [fonte STIX](%1) ali [fonte MathJax TeX](%2). Za izbolj\u0161anje svoje uporabni\u0161ke izku\u0161nje prenesite in namestite te fonte.",STIXPage:"Stran je oblikovana za uporabo [pisav STIX](%1). Za izbolj\u0161anje svoje uporabni\u0161ke izku\u0161nje prenesite in namestite te pisave.",TeXPage:"Stran je oblikovana za uporabo [pisav MathJax Tex](%1). Za izbolj\u0161anje svoje izku\u0161nje z MathJax prenesite in namestite te pisave."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/FontWarnings.js");
+MathJax.Localization.addTranslation("sl","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax za prikaza matematike na tej strani uporablja spletne pisave. Da se te nalo\u017Eijo, vzame nekaj \u010Dasa. Stran bi se hitreje izrisovala, \u010De bi bile matemati\u010Dne pisave name\u0161\u010Dene neposredno v mapi s pisavami va\u0161ega sistema.",imageFonts:"MathJax ne uporablja lokalnih ali spletnih pisav, temve\u010D svoje slikovne pisave. Izrisovanje bo zato po\u010Dasnej\u0161e, matematika pa se morda ne bo natisnila v popolni lo\u010Dljivosti va\u0161ega tiskalnika.",noFonts:"MathJax ne more najti pisave za prikaz matematike, slikovne pisave pa niso na razpolago, zato v upanju, da jih bo va\u0161 brskalnik lahko prikazal, uporablja generi\u010Dne unikodne znake. Nekateri znaki morda ne bodo prikazani pravilno ali pa sploh ne bodo prikazani.",webFonts:"Ve\u010Dina sodobnih brskalnikov omogo\u010Da prenos pisav prek spleta. S posodobitvijo (ali zamenjavo) svojega brskalnika boste morda lahko izbolj\u0161ali kakovost matematike na tej strani.",fonts:"MathJax lahko uporablja [fonte STIX](%1) ali [fonte MathJax TeX](%2). Za izbolj\u0161anje svoje uporabni\u0161ke izku\u0161nje prenesite in namestite te fonte.",STIXPage:"Stran je oblikovana za uporabo [pisav STIX](%1). Za izbolj\u0161anje svoje uporabni\u0161ke izku\u0161nje prenesite in namestite te pisave.",TeXPage:"Stran je oblikovana za uporabo [pisav MathJax Tex](%1). Za izbolj\u0161anje svoje izku\u0161nje z MathJax prenesite in namestite te pisave."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/FontWarnings.js");
diff --git a/localization/sl/HTML-CSS.js b/localization/sl/HTML-CSS.js
index 2209f1becd..844918fee0 100644
--- a/localization/sl/HTML-CSS.js
+++ b/localization/sl/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sl/HTML-CSS.js
+ *  /MathJax-v2/localization/sl/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"Nalagam spletni font %1",CantLoadWebFont:"Spletne pisave %1 ni mogo\u010De nalo\u017Eiti",FirefoxCantLoadWebFont:"Firefox ne more nalo\u017Eiti spletnih pisav na oddaljenem gostitelju.",CantFindFontUsing:"Z uporabo %1 ne morem najti veljavne pisave.",WebFontsNotAvailable:"Web-Fonts niso na razpolago. Namesto njih uporabljam slikovne pisave."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/HTML-CSS.js");
+MathJax.Localization.addTranslation("sl","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"Nalagam spletni font %1",CantLoadWebFont:"Spletne pisave %1 ni mogo\u010De nalo\u017Eiti",FirefoxCantLoadWebFont:"Firefox ne more nalo\u017Eiti spletnih pisav na oddaljenem gostitelju.",CantFindFontUsing:"Z uporabo %1 ne morem najti veljavne pisave.",WebFontsNotAvailable:"Web-Fonts niso na razpolago. Namesto njih uporabljam slikovne pisave."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/HTML-CSS.js");
diff --git a/localization/sl/HelpDialog.js b/localization/sl/HelpDialog.js
index 1b5e2c8a35..3de06754e3 100644
--- a/localization/sl/HelpDialog.js
+++ b/localization/sl/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sl/HelpDialog.js
+ *  /MathJax-v2/localization/sl/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Pomo\u010D za MathJax",MathJax:"*MathJax* je javaskriptna knji\u017Enica, ki ustvarjalcem spletnih strani omogo\u010Da vklju\u010Ditev matematike. Kot bralec ne potrebujete ni\u010Desar, da bi se to zgodilo.",Browsers:"*Brskalniki*: MathJax deluje v vseh sodobnih brskalnikih, vklju\u010Dno z IE6+, Firefoxom 3+, Chromeom 0.2+, Safarijem 2+, Opero 9.6+, in v ve\u010Dini mobilnih brskalnikov.",Menu:"*Meni ena\u010Db*: MathJax k ena\u010Dbam doda kontekstni meni. Za dostop do menija matematiko desno kliknite ali jo kliknite ob dr\u017Eanju tipke CTRL.",ShowMath:"*Prika\u017Ei matematiko kot* vam omogo\u010Da prikaz izvornega ozna\u010Devanja formule za kopiranje in lepljenje (kot MathML ali v izvorni obliki).",Settings:"*Nastavitve* vam dajo nadzor nad mo\u017Enostmi MathJaxa, kot so velikost matematike in mehanizem za prikaz ena\u010Db.",Language:"*Jezik* vam omogo\u010Da izbrati jezik, ki naj ga MathJax uporablja za svoje menije in opozorilna sporo\u010Dila.",Zoom:"*Math Zoom*: \u010De imate te\u017Eave pri branju ena\u010Dbe, jo lahko MathJax pove\u010Da, da jo boste bolje videli.",Accessibilty:"*Dostopnost*: MathJax samodejno deluje z bralniki zaslona in omogo\u010Da dostop do matematike tudi slepim in slabovidnim.",Fonts:"*Pisave*: MathJax bo uporabljal nekatere matemati\u010Dne pisave, \u010De so name\u0161\u010Dene na ra\u010Dunalniku, sicer pa pisave s spleta. \u010Ceprav niso nujne, bodo lokalno name\u0161\u010Dene pisave pospe\u0161ile prikaz. Predlagamo namestitev [pisav STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/HelpDialog.js");
+MathJax.Localization.addTranslation("sl","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Pomo\u010D za MathJax",MathJax:"*MathJax* je javaskriptna knji\u017Enica, ki ustvarjalcem spletnih strani omogo\u010Da vklju\u010Ditev matematike. Kot bralec ne potrebujete ni\u010Desar, da bi se to zgodilo.",Browsers:"*Brskalniki*: MathJax deluje v vseh sodobnih brskalnikih, vklju\u010Dno z IE6+, Firefoxom 3+, Chromeom 0.2+, Safarijem 2+, Opero 9.6+, in v ve\u010Dini mobilnih brskalnikov.",Menu:"*Meni ena\u010Db*: MathJax k ena\u010Dbam doda kontekstni meni. Za dostop do menija matematiko desno kliknite ali jo kliknite ob dr\u017Eanju tipke CTRL.",ShowMath:"*Prika\u017Ei matematiko kot* vam omogo\u010Da prikaz izvornega ozna\u010Devanja formule za kopiranje in lepljenje (kot MathML ali v izvorni obliki).",Settings:"*Nastavitve* vam dajo nadzor nad mo\u017Enostmi MathJaxa, kot so velikost matematike in mehanizem za prikaz ena\u010Db.",Language:"*Jezik* vam omogo\u010Da izbrati jezik, ki naj ga MathJax uporablja za svoje menije in opozorilna sporo\u010Dila.",Zoom:"*Math Zoom*: \u010De imate te\u017Eave pri branju ena\u010Dbe, jo lahko MathJax pove\u010Da, da jo boste bolje videli.",Accessibilty:"*Dostopnost*: MathJax samodejno deluje z bralniki zaslona in omogo\u010Da dostop do matematike tudi slepim in slabovidnim.",Fonts:"*Pisave*: MathJax bo uporabljal nekatere matemati\u010Dne pisave, \u010De so name\u0161\u010Dene na ra\u010Dunalniku, sicer pa pisave s spleta. \u010Ceprav niso nujne, bodo lokalno name\u0161\u010Dene pisave pospe\u0161ile prikaz. Predlagamo namestitev [pisav STIX](%1)."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/HelpDialog.js");
diff --git a/localization/sl/MathML.js b/localization/sl/MathML.js
index 9f9bae0a8d..a7cdc8812c 100644
--- a/localization/sl/MathML.js
+++ b/localization/sl/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sl/MathML.js
+ *  /MathJax-v2/localization/sl/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"Neveljaven mglyph: %1",BadMglyphFont:"Neveljavna pisava: %1",MathPlayer:"MathJax ni mogel nastaviti programa MathPlayer.\n\n\u010Ce MathPlayer ni name\u0161\u010Den, ga morate najprej namestiti. Sicer morda njegov zahon prepre\u010Dujejo va\u0161e varnostne nastavitve. Uporabite element Internetne mo\u017Enosti [Internet Options] pod menijem Orodja [Tools] in izberite zavihek Varnost [Security], nato pritisnite gumb Prilagojena raven [Custom Level]. Preverite, alo so nastavitve za 'Za\u017Eeni krmilne elemente ActiveX' in 'Binarna in skriptna vedenja' omogo\u010Dene.\n\nTrenutno boste namesto matematike videli sporo\u010Dila o napakah.",CantCreateXMLParser:"MathJax ne more ustvariti raz\u010Dlenjevalnika XML za MathML. Preverite, ali je varnostna nastavitev 'Krmilni elementi Script ActiveX ozna\u010Deni kot varni za skriptiranje' omogo\u010Dena (da to preverite, v meniju Orodja [Tools] uporabite element Internetne mo\u017Enosti [Internet Options], nato izberite plo\u0161\u010Do Varnost [Security], nato pritisnite gumb Prilagojena raven [Custom Level]).",UnknownNodeType:"Neznana vrsta vozli\u0161\u010Da: %1",UnexpectedTextNode:"Nepri\u010Dakovano tekstovno vozli\u0161\u010De: %1",ErrorParsingMathML:"Napaka pri raz\u010Dlenjevanju MathML",ParsingError:"Napaka pri raz\u010Dlenjevanju MathML: %1",MathMLSingleElement:"MathML mora biti oblikovan z enim samim elementom",MathMLRootElement:"MathML mora biti oblikovan z elementom \u003Cmath\u003E, ne s korenom %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/MathML.js");
+MathJax.Localization.addTranslation("sl","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"Neveljaven mglyph: %1",BadMglyphFont:"Neveljavna pisava: %1",MathPlayer:"MathJax ni mogel nastaviti programa MathPlayer.\n\n\u010Ce MathPlayer ni name\u0161\u010Den, ga morate najprej namestiti. Sicer morda njegov zahon prepre\u010Dujejo va\u0161e varnostne nastavitve. Uporabite element Internetne mo\u017Enosti [Internet Options] pod menijem Orodja [Tools] in izberite zavihek Varnost [Security], nato pritisnite gumb Prilagojena raven [Custom Level]. Preverite, alo so nastavitve za 'Za\u017Eeni krmilne elemente ActiveX' in 'Binarna in skriptna vedenja' omogo\u010Dene.\n\nTrenutno boste namesto matematike videli sporo\u010Dila o napakah.",CantCreateXMLParser:"MathJax ne more ustvariti raz\u010Dlenjevalnika XML za MathML. Preverite, ali je varnostna nastavitev 'Krmilni elementi Script ActiveX ozna\u010Deni kot varni za skriptiranje' omogo\u010Dena (da to preverite, v meniju Orodja [Tools] uporabite element Internetne mo\u017Enosti [Internet Options], nato izberite plo\u0161\u010Do Varnost [Security], nato pritisnite gumb Prilagojena raven [Custom Level]).",UnknownNodeType:"Neznana vrsta vozli\u0161\u010Da: %1",UnexpectedTextNode:"Nepri\u010Dakovano tekstovno vozli\u0161\u010De: %1",ErrorParsingMathML:"Napaka pri raz\u010Dlenjevanju MathML",ParsingError:"Napaka pri raz\u010Dlenjevanju MathML: %1",MathMLSingleElement:"MathML mora biti oblikovan z enim samim elementom",MathMLRootElement:"MathML mora biti oblikovan z elementom \u003Cmath\u003E, ne s korenom %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/MathML.js");
diff --git a/localization/sl/MathMenu.js b/localization/sl/MathMenu.js
index a49143d809..ca2a7fc202 100644
--- a/localization/sl/MathMenu.js
+++ b/localization/sl/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sl/MathMenu.js
+ *  /MathJax-v2/localization/sl/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Prika\u017Ei matematiko kot",MathMLcode:"Koda MathML",OriginalMathML:"Izvorni MathML",TeXCommands:"Ukazi TeX",AsciiMathInput:"Vnos AsciiMathML",Original:"Izvirna oblika",ErrorMessage:"Sporo\u010Dilo o napaki",Annotation:"Pripis",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML vsebine",OpenMath:"OpenMath",texHints:"V MathML prika\u017Ei namige TeX",Settings:"Nastavitve matematike",ZoomTrigger:"Pro\u017Eilec zumiranja",Hover:"Lebdenje",Click:"Kliknite",DoubleClick:"Dvokliknite",NoZoom:"Brez pove\u010Dave",TriggerRequires:"Pro\u017Eilec potrebuje:",Option:"Mo\u017Enost",Alt:"Alt",Command:"Ukaz",Control:"Kontrolnik",Shift:"Preklop",ZoomFactor:"Faktor zumiranja",Renderer:"Matemati\u010Dni izrisovalnik",MPHandles:"MathPlayer naj upravlja z:",MenuEvents:"Dogodki menija",MouseEvents:"Dogodki mi\u0161ke",MenuAndMouse:"Dogodki mi\u0161ke in menija",FontPrefs:"Nastavitve pisav",ForHTMLCSS:"Za HTML-CSS:",Auto:"Samodejno",TeXLocal:"TeX (lokalno)",TeXWeb:"TeX (splet)",TeXImage:"TeX (slika)",STIXLocal:"STIX (lokalno)",STIXWeb:"STIX (splet)",AsanaMathWeb:"Asana Math (splet)",GyrePagellaWeb:"Gyre Pagella (splet)",GyreTermesWeb:"Gyre Termes (splet)",LatinModernWeb:"Latin Modern (splet)",NeoEulerWeb:"Neo Euler (splet)",ContextMenu:"Kontekstni meni",Browser:"Brskalnik",Scale:"Umeri vso matematiko ...",Discoverable:"Ob lebdenju ozna\u010Di",Locale:"Jezik",LoadLocale:"Nalo\u017Ei iz spletnega naslova ...",About:"O MathJax",Help:"Pomo\u010D za MathJax",localTeXfonts:"z uporabo lokalnih pisav TeX",webTeXfonts:"z uporabo spletne pisave TeX",imagefonts:"z uporabo slikovnih pisav",localSTIXfonts:"z uporabo lokalnih pisav STIX",webSVGfonts:"z uporabo spletnih pisav SVG",genericfonts:"z uporabo generi\u010Dnih unikodnih pisav",wofforotffonts:"pisave woff ali otf",eotffonts:"pisave eot",svgfonts:"pisave svg",WebkitNativeMMLWarning:"Va\u0161 brskalnik ne podpira MathML sam po sebi, zato ob preklopu na MathML matematika morda ne bo berljiva.",MSIENativeMMLWarning:"Internet Explorer potrebuje za obdelavo izhoda MathML vti\u010Dnik MathPlayer.",OperaNativeMMLWarning:"Podpora Opere za MathML je omejena, zato se bodo ob preklopu na MathML nekateri izrazi morda slabo izrisali.",SafariNativeMMLWarning:"MathML va\u0161ega brskalnika ne podpira vseh mo\u017Enosti MathJaxa, zato se nekateri izrazi morda ne bodo pravilno prikazali.",FirefoxNativeMMLWarning:"MathML va\u0161ega brskalnika ne podpira vseh mo\u017Enosti MathJaxa, zato se nekateri izrazi morda ne bodo pravilno izrisali.",MSIESVGWarning:"V Internet Explorerju pred IE9 in pri emulaciji IE8 ali manj SVG ni podprt. Ob preklopu na SVG se matematika ne bo prikazala pravilno.",LoadURL:"Nalo\u017Ei podatke za prevajanje z naslednjega spletnega naslova:",BadURL:"Spletni naslov mora biti za javaskriptno datoteko, ki opredeljuje podatke MathJax o prevajanju. Imena javaskriptnih datotek se morajo kon\u010Dati z '.js'",BadData:"Nalaganje podatkov za prevajanje iz %1 ni uspelo",SwitchAnyway:"Vseeno zamenjam izrisovalnik?",ScaleMath:"Umeri vso matematiko (v primerjavi z okoli\u0161nim besedilom) z",NonZeroScale:"Merilo ne sme biti ni\u010D",PercentScale:"Merilo naj bo odstotek (npr. 120%%)",IE8warning:"To onemogo\u010Di meni MathJax in mo\u017Enosti zumiranja, vendar pa lahko namesto tega kliknete izraz ob dr\u017Eanju tipke Alt, s \u010Dimer se prika\u017Ee meni MathJax.",IE9warning:"Kontekstni meni MathJax bo izklopljen, namesto tega pa lahko s klikom izraza ob dr\u017Eanju tipke Alt prikli\u010Dete meni MathJax.",NoOriginalForm:"Na razpolago ni nobena izvorna oblika",Close:"Zapri",EqSource:"Vir ena\u010Dbe MathJax",FastPreview:"Hitri predogled"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/MathMenu.js");
+MathJax.Localization.addTranslation("sl","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Prika\u017Ei matematiko kot",MathMLcode:"Koda MathML",OriginalMathML:"Izvorni MathML",TeXCommands:"Ukazi TeX",AsciiMathInput:"Vnos AsciiMathML",Original:"Izvirna oblika",ErrorMessage:"Sporo\u010Dilo o napaki",Annotation:"Pripis",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML vsebine",OpenMath:"OpenMath",texHints:"V MathML prika\u017Ei namige TeX",Settings:"Nastavitve matematike",ZoomTrigger:"Pro\u017Eilec zumiranja",Hover:"Lebdenje",Click:"Kliknite",DoubleClick:"Dvokliknite",NoZoom:"Brez pove\u010Dave",TriggerRequires:"Pro\u017Eilec potrebuje:",Option:"Mo\u017Enost",Alt:"Alt",Command:"Ukaz",Control:"Kontrolnik",Shift:"Preklop",ZoomFactor:"Faktor zumiranja",Renderer:"Matemati\u010Dni izrisovalnik",MPHandles:"MathPlayer naj upravlja z:",MenuEvents:"Dogodki menija",MouseEvents:"Dogodki mi\u0161ke",MenuAndMouse:"Dogodki mi\u0161ke in menija",FontPrefs:"Nastavitve pisav",ForHTMLCSS:"Za HTML-CSS:",Auto:"Samodejno",TeXLocal:"TeX (lokalno)",TeXWeb:"TeX (splet)",TeXImage:"TeX (slika)",STIXLocal:"STIX (lokalno)",STIXWeb:"STIX (splet)",AsanaMathWeb:"Asana Math (splet)",GyrePagellaWeb:"Gyre Pagella (splet)",GyreTermesWeb:"Gyre Termes (splet)",LatinModernWeb:"Latin Modern (splet)",NeoEulerWeb:"Neo Euler (splet)",ContextMenu:"Kontekstni meni",Browser:"Brskalnik",Scale:"Umeri vso matematiko ...",Discoverable:"Ob lebdenju ozna\u010Di",Locale:"Jezik",LoadLocale:"Nalo\u017Ei iz spletnega naslova ...",About:"O MathJax",Help:"Pomo\u010D za MathJax",localTeXfonts:"z uporabo lokalnih pisav TeX",webTeXfonts:"z uporabo spletne pisave TeX",imagefonts:"z uporabo slikovnih pisav",localSTIXfonts:"z uporabo lokalnih pisav STIX",webSVGfonts:"z uporabo spletnih pisav SVG",genericfonts:"z uporabo generi\u010Dnih unikodnih pisav",wofforotffonts:"pisave woff ali otf",eotffonts:"pisave eot",svgfonts:"pisave svg",WebkitNativeMMLWarning:"Va\u0161 brskalnik ne podpira MathML sam po sebi, zato ob preklopu na MathML matematika morda ne bo berljiva.",MSIENativeMMLWarning:"Internet Explorer potrebuje za obdelavo izhoda MathML vti\u010Dnik MathPlayer.",OperaNativeMMLWarning:"Podpora Opere za MathML je omejena, zato se bodo ob preklopu na MathML nekateri izrazi morda slabo izrisali.",SafariNativeMMLWarning:"MathML va\u0161ega brskalnika ne podpira vseh mo\u017Enosti MathJaxa, zato se nekateri izrazi morda ne bodo pravilno prikazali.",FirefoxNativeMMLWarning:"MathML va\u0161ega brskalnika ne podpira vseh mo\u017Enosti MathJaxa, zato se nekateri izrazi morda ne bodo pravilno izrisali.",MSIESVGWarning:"V Internet Explorerju pred IE9 in pri emulaciji IE8 ali manj SVG ni podprt. Ob preklopu na SVG se matematika ne bo prikazala pravilno.",LoadURL:"Nalo\u017Ei podatke za prevajanje z naslednjega spletnega naslova:",BadURL:"Spletni naslov mora biti za javaskriptno datoteko, ki opredeljuje podatke MathJax o prevajanju. Imena javaskriptnih datotek se morajo kon\u010Dati z '.js'",BadData:"Nalaganje podatkov za prevajanje iz %1 ni uspelo",SwitchAnyway:"Vseeno zamenjam izrisovalnik?",ScaleMath:"Umeri vso matematiko (v primerjavi z okoli\u0161nim besedilom) z",NonZeroScale:"Merilo ne sme biti ni\u010D",PercentScale:"Merilo naj bo odstotek (npr. 120%%)",IE8warning:"To onemogo\u010Di meni MathJax in mo\u017Enosti zumiranja, vendar pa lahko namesto tega kliknete izraz ob dr\u017Eanju tipke Alt, s \u010Dimer se prika\u017Ee meni MathJax.",IE9warning:"Kontekstni meni MathJax bo izklopljen, namesto tega pa lahko s klikom izraza ob dr\u017Eanju tipke Alt prikli\u010Dete meni MathJax.",NoOriginalForm:"Na razpolago ni nobena izvorna oblika",Close:"Zapri",EqSource:"Vir ena\u010Dbe MathJax",FastPreview:"Hitri predogled"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/MathMenu.js");
diff --git a/localization/sl/TeX.js b/localization/sl/TeX.js
index a329e14913..76acf4fb1c 100644
--- a/localization/sl/TeX.js
+++ b/localization/sl/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sl/TeX.js
+ *  /MathJax-v2/localization/sl/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Dodaten uklepaj ali manjkajo\u010D zaklepaj",ExtraCloseMissingOpen:"Dodaten zaklepaj ali manjkajo\u010D uklepaj",MissingLeftExtraRight:"Manjka \\left ali dodatni \\right",MissingScript:"Manjka nadpisani ali podpisani argument",ExtraLeftMissingRight:"Dodaten \\left ali manjkajo\u010D \\right",Misplaced:"Narobe postavljen %1",MissingOpenForSub:"Manjka uklepaj za nadpisano",MissingOpenForSup:"Manjka uklepaj za nadpisano",AmbiguousUseOf:"Dvoumna uporaba %1",EnvBadEnd:"\\begin{%1} se je kon\u010Dal z \\end{%2}",EnvMissingEnd:"Manjka \\end{%1}",MissingBoxFor:"Manjka polje za %1",MissingCloseBrace:"Manjka zaklepaj",UndefinedControlSequence:"Nedefinirano kontrolno zaporedje %1",DoubleExponent:"Dvojni eksponent: pojasnite z oklepaji",DoubleSubscripts:"Dvojno podpisano: za pojasnitev uporabite oklepaje",DoubleExponentPrime:"Pra\u0161tevilo povzro\u010Da dvojni eksponent: pojasnite z oklepaji",CantUseHash1:"Znak # je makroparameter in ga v matemati\u010Dnem na\u010Dinu ne morete uporabljati",MisplacedMiddle:"%1 mora biti znotraj \\left in \\right",MisplacedLimits:"%1 je dovoljen samo pri operatorjih",MisplacedMoveRoot:"%1 se lahko pojavi samo v korenu",MultipleCommand:"Ve\u010Dkratni %1",IntegerArg:"Argument za %1 mora biti celo \u0161tevilo",NotMathMLToken:"%1 ni \u017Eetonski element",InvalidMathMLAttr:"Neveljaven atribut MathML: %1",UnknownAttrForElement:"%1 ni prepoznani atribut za %2",MaxMacroSub1:"Prese\u017Eeno najve\u010Dje \u0161tevilo makrosubstitucij MathJax; ali obstaja rekurzivni makroklic?",MaxMacroSub2:"Prese\u017Eeno najve\u010Dje \u0161tevilo substitucij MathJax; ali obstaja rekurzivno okolje LaTeX?",MissingArgFor:"Manjka argument za %1",ExtraAlignTab:"Dodatni zavihek za poravnavo v tekstu \\cases",BracketMustBeDimension:"Argument v oklepaju za %1 mora biti velikost",InvalidEnv:"Neveljavno ime okolja '%1'",UnknownEnv:"Neznano okolje '%1'",ExtraCloseLooking:"Dodatni zaklepaj pri iskanju %1",MissingCloseBracket:"Za argument za %1 ni mogo\u010De najti zaklepaja ']'",MissingOrUnrecognizedDelim:"Manjkajo\u010De ali neprepoznano lo\u010Dilo za %1",MissingDimOrUnits:"Manjka velikost ali enote pri %1",TokenNotFoundForCommand:"%1 za %2 ni bilo mogo\u010De najti",MathNotTerminated:"Matematika v tekstovnem polju ni prekinjena",IllegalMacroParam:"Nedovoljen makroparameter",MaxBufferSize:"Prese\u017Eena velikost notranjega medpomnilnika MathJax; ali obstaja rekurzivni makroklic?",CommandNotAllowedInEnv:"%1 v okolju %2 ni dovoljen",MultipleLabel:"Ve\u010Dkratno definirana oznaka '%1'",CommandAtTheBeginingOfLine:"%1 mora priti na za\u010Detek vrstice",IllegalAlign:"V %1 je dolo\u010Dena nedovoljena poravnava.",BadMathStyleFor:"Neveljaven matemati\u010Dni slog argumenta %1",PositiveIntegerArg:"Argument za %1 mora biti pozitivno celo \u0161tevilo",ErroneousNestingEq:"Napa\u010Dno gnezdenje struktur ena\u010Dbe",MultlineRowsOneCol:"Vrstice v okolju %1 morajo imeti natan\u010Dno en stolpec",MultipleBBoxProperty:"%1 je v %2 dolo\u010Den dvakrat",InvalidBBoxProperty:"'%1' ne izgleda kot barva, velikost odmika ali slog",ExtraEndMissingBegin:"Dodatni %1 ali manjkajo\u010D \\begingroup",GlobalNotFollowedBy:"%1 ne sledijo \\let, \\def ali \\newcommand",UndefinedColorModel:"Nedefiniran barvni model '%1'",ModelArg1:"Barvne vrednosti modela %1 zahtevajo tri \u0161tevilke",InvalidDecimalNumber:"Neveljavna decimalna \u0161tevilka",ModelArg2:"Barvne vrednosti za model %1 morajo biti med %2 in %3",InvalidNumber:"Neveljavna \u0161tevilka",NewextarrowArg1:"Prvi argument za %1 mora biti ime kontrolnega zaporedja",NewextarrowArg2:"Drugi argument za %1 morata biti dve celi \u0161tevili, lo\u010Deni z vejico",NewextarrowArg3:"Tretji argument za %1 mora biti \u0161tevilka unikodnega znaka",NoClosingChar:"Ni mogo\u010De najti zapiralnega %1",IllegalControlSequenceName:"Nedovoljeno ime kontrolnega zaporedja za %1",IllegalParamNumber:"Neveljavno \u0161tevilo parametrov v %1",MissingCS:"%1 mora slediti kontrolno zaporedje",CantUseHash2:"Nedovoljena uporaba znaka # v predlogi za %1",SequentialParam:"Parametri za %1 morajo biti o\u0161tevil\u010Deni zaporedno",MissingReplacementString:"Manjka nadomestni niz za definicijo %1",MismatchUseDef:"Uporaba %1 se ne ujema z njegovo definicijo",RunawayArgument:"Ube\u017Eni argument za %1?",NoClosingDelim:"Ni mogo\u010De najti zaklju\u010Dnega lo\u010Dila za %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/TeX.js");
+MathJax.Localization.addTranslation("sl","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Dodaten uklepaj ali manjkajo\u010D zaklepaj",ExtraCloseMissingOpen:"Dodaten zaklepaj ali manjkajo\u010D uklepaj",MissingLeftExtraRight:"Manjka \\left ali dodatni \\right",MissingScript:"Manjka nadpisani ali podpisani argument",ExtraLeftMissingRight:"Dodaten \\left ali manjkajo\u010D \\right",Misplaced:"Narobe postavljen %1",MissingOpenForSub:"Manjka uklepaj za nadpisano",MissingOpenForSup:"Manjka uklepaj za nadpisano",AmbiguousUseOf:"Dvoumna uporaba %1",EnvBadEnd:"\\begin{%1} se je kon\u010Dal z \\end{%2}",EnvMissingEnd:"Manjka \\end{%1}",MissingBoxFor:"Manjka polje za %1",MissingCloseBrace:"Manjka zaklepaj",UndefinedControlSequence:"Nedefinirano kontrolno zaporedje %1",DoubleExponent:"Dvojni eksponent: pojasnite z oklepaji",DoubleSubscripts:"Dvojno podpisano: za pojasnitev uporabite oklepaje",DoubleExponentPrime:"Pra\u0161tevilo povzro\u010Da dvojni eksponent: pojasnite z oklepaji",CantUseHash1:"Znak # je makroparameter in ga v matemati\u010Dnem na\u010Dinu ne morete uporabljati",MisplacedMiddle:"%1 mora biti znotraj \\left in \\right",MisplacedLimits:"%1 je dovoljen samo pri operatorjih",MisplacedMoveRoot:"%1 se lahko pojavi samo v korenu",MultipleCommand:"Ve\u010Dkratni %1",IntegerArg:"Argument za %1 mora biti celo \u0161tevilo",NotMathMLToken:"%1 ni \u017Eetonski element",InvalidMathMLAttr:"Neveljaven atribut MathML: %1",UnknownAttrForElement:"%1 ni prepoznani atribut za %2",MaxMacroSub1:"Prese\u017Eeno najve\u010Dje \u0161tevilo makrosubstitucij MathJax; ali obstaja rekurzivni makroklic?",MaxMacroSub2:"Prese\u017Eeno najve\u010Dje \u0161tevilo substitucij MathJax; ali obstaja rekurzivno okolje LaTeX?",MissingArgFor:"Manjka argument za %1",ExtraAlignTab:"Dodatni zavihek za poravnavo v tekstu \\cases",BracketMustBeDimension:"Argument v oklepaju za %1 mora biti velikost",InvalidEnv:"Neveljavno ime okolja '%1'",UnknownEnv:"Neznano okolje '%1'",ExtraCloseLooking:"Dodatni zaklepaj pri iskanju %1",MissingCloseBracket:"Za argument za %1 ni mogo\u010De najti zaklepaja ']'",MissingOrUnrecognizedDelim:"Manjkajo\u010De ali neprepoznano lo\u010Dilo za %1",MissingDimOrUnits:"Manjka velikost ali enote pri %1",TokenNotFoundForCommand:"%1 za %2 ni bilo mogo\u010De najti",MathNotTerminated:"Matematika v tekstovnem polju ni prekinjena",IllegalMacroParam:"Nedovoljen makroparameter",MaxBufferSize:"Prese\u017Eena velikost notranjega medpomnilnika MathJax; ali obstaja rekurzivni makroklic?",CommandNotAllowedInEnv:"%1 v okolju %2 ni dovoljen",MultipleLabel:"Ve\u010Dkratno definirana oznaka '%1'",CommandAtTheBeginingOfLine:"%1 mora priti na za\u010Detek vrstice",IllegalAlign:"V %1 je dolo\u010Dena nedovoljena poravnava.",BadMathStyleFor:"Neveljaven matemati\u010Dni slog argumenta %1",PositiveIntegerArg:"Argument za %1 mora biti pozitivno celo \u0161tevilo",ErroneousNestingEq:"Napa\u010Dno gnezdenje struktur ena\u010Dbe",MultlineRowsOneCol:"Vrstice v okolju %1 morajo imeti natan\u010Dno en stolpec",MultipleBBoxProperty:"%1 je v %2 dolo\u010Den dvakrat",InvalidBBoxProperty:"'%1' ne izgleda kot barva, velikost odmika ali slog",ExtraEndMissingBegin:"Dodatni %1 ali manjkajo\u010D \\begingroup",GlobalNotFollowedBy:"%1 ne sledijo \\let, \\def ali \\newcommand",UndefinedColorModel:"Nedefiniran barvni model '%1'",ModelArg1:"Barvne vrednosti modela %1 zahtevajo tri \u0161tevilke",InvalidDecimalNumber:"Neveljavna decimalna \u0161tevilka",ModelArg2:"Barvne vrednosti za model %1 morajo biti med %2 in %3",InvalidNumber:"Neveljavna \u0161tevilka",NewextarrowArg1:"Prvi argument za %1 mora biti ime kontrolnega zaporedja",NewextarrowArg2:"Drugi argument za %1 morata biti dve celi \u0161tevili, lo\u010Deni z vejico",NewextarrowArg3:"Tretji argument za %1 mora biti \u0161tevilka unikodnega znaka",NoClosingChar:"Ni mogo\u010De najti zapiralnega %1",IllegalControlSequenceName:"Nedovoljeno ime kontrolnega zaporedja za %1",IllegalParamNumber:"Neveljavno \u0161tevilo parametrov v %1",MissingCS:"%1 mora slediti kontrolno zaporedje",CantUseHash2:"Nedovoljena uporaba znaka # v predlogi za %1",SequentialParam:"Parametri za %1 morajo biti o\u0161tevil\u010Deni zaporedno",MissingReplacementString:"Manjka nadomestni niz za definicijo %1",MismatchUseDef:"Uporaba %1 se ne ujema z njegovo definicijo",RunawayArgument:"Ube\u017Eni argument za %1?",NoClosingDelim:"Ni mogo\u010De najti zaklju\u010Dnega lo\u010Dila za %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/TeX.js");
diff --git a/localization/sl/sl.js b/localization/sl/sl.js
index 4a5896ec5c..f786b8a79c 100644
--- a/localization/sl/sl.js
+++ b/localization/sl/sl.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sl/sl.js
+ *  /MathJax-v2/localization/sl/sl.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sl",null,{menuTitle:"sloven\u0161\u010Dina",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax je na\u0161el pi\u0161kotek za uporabni\u0161ko konfiguracijo, ki vklju\u010Duje kodo za zagon. Ali jo \u017Eelite zagnati?\n\n(Pritisnite Prekli\u010Di, razen \u010De ste pi\u0161kotek sami nastavili.)",MathProcessingError:"Napaka pri obdelavi matematike",MathError:"Napaka v matemati\u010Dni formuli",LoadFile:"Nalagam %1",Loading:"Nalagam",LoadFailed:"Datoteka se ni nalo\u017Eila: %1",ProcessMath:"Obdelava matematike: %1%%",Processing:"Obdelujem",TypesetMath:"Stavljenje matematike: %1%%",Typesetting:"Stavljenje",MathJaxNotSupported:"Va\u0161 brskalnik ne podpira MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%100===1){return 1}if(a%100===2){return 2}if(3<=a%100&&a%100<=4){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/sl.js");
+MathJax.Localization.addTranslation("sl",null,{menuTitle:"sloven\u0161\u010Dina",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax je na\u0161el pi\u0161kotek za uporabni\u0161ko konfiguracijo, ki vklju\u010Duje kodo za zagon. Ali jo \u017Eelite zagnati?\n\n(Pritisnite Prekli\u010Di, razen \u010De ste pi\u0161kotek sami nastavili.)",MathProcessingError:"Napaka pri obdelavi matematike",MathError:"Napaka v matemati\u010Dni formuli",LoadFile:"Nalagam %1",Loading:"Nalagam",LoadFailed:"Datoteka se ni nalo\u017Eila: %1",ProcessMath:"Obdelava matematike: %1%%",Processing:"Obdelujem",TypesetMath:"Stavljenje matematike: %1%%",Typesetting:"Stavljenje",MathJaxNotSupported:"Va\u0161 brskalnik ne podpira MathJax"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%100===1){return 1}if(a%100===2){return 2}if(3<=a%100&&a%100<=4){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sl/sl.js");
diff --git a/localization/sv/FontWarnings.js b/localization/sv/FontWarnings.js
index 0dd758d6fe..09e3c49a6c 100644
--- a/localization/sv/FontWarnings.js
+++ b/localization/sv/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sv/FontWarnings.js
+ *  /MathJax-v2/localization/sv/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax anv\u00E4nder webb-baserade teckensnitt f\u00F6r att visa matematik p\u00E5 denna sida.  Dessa tar tid att ladda ner, sidan skulle g\u00F6ra snabbare om du installerar matematik-typsnitt direkt i systemets teckensnittsmapp.",imageFonts:"MathJax anv\u00E4nder sina bild-teckensnitt ist\u00E4llet f\u00F6r lokala eller webb-baserade typsnitt. Detta kommer att g\u00F6ra visningen saktare \u00E4n vanligt, matematik kan \u00E4ven komma att inte skrivas ut med din skrivares fulla uppl\u00F6sning.",noFonts:"MathJax kan inte hitta ett typsnitt f\u00F6r att visa sin matematik, och bild-teckensnitt \u00E4r ej tillg\u00E4ngliga, s\u00E5 den faller tillbaka p\u00E5 generiska Unicode-tecken i hopp om att din webbl\u00E4sare kommer att kunna visa dem. Vissa tecken kan komma att visas inkorrekt, eller kanske inte alls.",webFonts:"De flesta moderna webbl\u00E4sare till\u00E5ter teckensnitt att h\u00E4mtas via webben. Att uppdatera till en nyare version av din webbl\u00E4sare (eller byta webbl\u00E4sare) kan f\u00F6rb\u00E4ttra kvaliteten p\u00E5 matematik p\u00E5 denna sida.",fonts:"MathJax kan antingen anv\u00E4nda [STIX-typsnitt](%1) eller [MathJax TeX-typsnitt](%2). Ladda ner och installera en av dessa typsnitt f\u00F6r att f\u00F6rb\u00E4ttra din MathJax-upplevelse.",STIXPage:"Denna sida \u00E4r designad f\u00F6r att anv\u00E4nda [STIX-typsnitt](%1). Ladda ner och installera dessa typsnitt f\u00F6r att f\u00F6rb\u00E4ttra din MathJax-upplevelse.",TeXPage:"Denna sida \u00E4r designad f\u00F6r att anv\u00E4nda [MathJax TeX-typsnitt](%1). Ladda ner och installera dessa typsnitt f\u00F6r att f\u00F6rb\u00E4ttra din MathJax-upplevelse."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/FontWarnings.js");
+MathJax.Localization.addTranslation("sv","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax anv\u00E4nder webb-baserade teckensnitt f\u00F6r att visa matematik p\u00E5 denna sida.  Dessa tar tid att ladda ner, sidan skulle g\u00F6ra snabbare om du installerar matematik-typsnitt direkt i systemets teckensnittsmapp.",imageFonts:"MathJax anv\u00E4nder sina bild-teckensnitt ist\u00E4llet f\u00F6r lokala eller webb-baserade typsnitt. Detta kommer att g\u00F6ra visningen saktare \u00E4n vanligt, matematik kan \u00E4ven komma att inte skrivas ut med din skrivares fulla uppl\u00F6sning.",noFonts:"MathJax kan inte hitta ett typsnitt f\u00F6r att visa sin matematik, och bild-teckensnitt \u00E4r ej tillg\u00E4ngliga, s\u00E5 den faller tillbaka p\u00E5 generiska Unicode-tecken i hopp om att din webbl\u00E4sare kommer att kunna visa dem. Vissa tecken kan komma att visas inkorrekt, eller kanske inte alls.",webFonts:"De flesta moderna webbl\u00E4sare till\u00E5ter teckensnitt att h\u00E4mtas via webben. Att uppdatera till en nyare version av din webbl\u00E4sare (eller byta webbl\u00E4sare) kan f\u00F6rb\u00E4ttra kvaliteten p\u00E5 matematik p\u00E5 denna sida.",fonts:"MathJax kan antingen anv\u00E4nda [STIX-typsnitt](%1) eller [MathJax TeX-typsnitt](%2). Ladda ner och installera en av dessa typsnitt f\u00F6r att f\u00F6rb\u00E4ttra din MathJax-upplevelse.",STIXPage:"Denna sida \u00E4r designad f\u00F6r att anv\u00E4nda [STIX-typsnitt](%1). Ladda ner och installera dessa typsnitt f\u00F6r att f\u00F6rb\u00E4ttra din MathJax-upplevelse.",TeXPage:"Denna sida \u00E4r designad f\u00F6r att anv\u00E4nda [MathJax TeX-typsnitt](%1). Ladda ner och installera dessa typsnitt f\u00F6r att f\u00F6rb\u00E4ttra din MathJax-upplevelse."}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/FontWarnings.js");
diff --git a/localization/sv/HTML-CSS.js b/localization/sv/HTML-CSS.js
index 2c32d7e49a..ff9df88f3d 100644
--- a/localization/sv/HTML-CSS.js
+++ b/localization/sv/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sv/HTML-CSS.js
+ *  /MathJax-v2/localization/sv/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"L\u00E4ser in webbtypsnittet %1",CantLoadWebFont:"Kan inte l\u00E4sa in webbtypsnittet %1",FirefoxCantLoadWebFont:"Firefox kan inte l\u00E4sa in webbteckensnitt fr\u00E5n en fj\u00E4rrv\u00E4rd",CantFindFontUsing:"Kan inte hitta ett giltigt teckensnitt med hj\u00E4lp av %1",WebFontsNotAvailable:"Webbtypsnitt \u00E4r inte tillg\u00E4ngliga. Anv\u00E4nder bildtypsnitt ist\u00E4llet"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/HTML-CSS.js");
+MathJax.Localization.addTranslation("sv","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"L\u00E4ser in webbtypsnittet %1",CantLoadWebFont:"Kan inte l\u00E4sa in webbtypsnittet %1",FirefoxCantLoadWebFont:"Firefox kan inte l\u00E4sa in webbteckensnitt fr\u00E5n en fj\u00E4rrv\u00E4rd",CantFindFontUsing:"Kan inte hitta ett giltigt teckensnitt med hj\u00E4lp av %1",WebFontsNotAvailable:"Webbtypsnitt \u00E4r inte tillg\u00E4ngliga. Anv\u00E4nder bildtypsnitt ist\u00E4llet"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/HTML-CSS.js");
diff --git a/localization/sv/HelpDialog.js b/localization/sv/HelpDialog.js
index 64cb15ee44..538767cc47 100644
--- a/localization/sv/HelpDialog.js
+++ b/localization/sv/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sv/HelpDialog.js
+ *  /MathJax-v2/localization/sv/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax-hj\u00E4lp",MathJax:"*MathJax* \u00E4r ett JavaScript-bibliotek som till\u00E5ter f\u00F6rfattare att inkludera matematik p\u00E5 sina webbsidor. Som l\u00E4sare beh\u00F6ver du inte g\u00F6ra n\u00E5got f\u00F6r att f\u00E5 det att h\u00E4nda.",Browsers:"*Webbl\u00E4sare*: MathJax fungerar med alla moderna webbl\u00E4sare inklusive IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ och de flesta mobila webbl\u00E4sare.",Menu:"*Matematik-menyn*: MathJax l\u00E4gger till en kontextuell meny till ekvationer. H\u00F6gerklicka eller Ctrl-klicka p\u00E5 n\u00E5gon matematik att komma \u00E5t menyn.",ShowMath:"*Visa matematik som* g\u00F6r att du kan visa formelns k\u00E4llkod f\u00F6r att klipp \u0026 klistra in (som MathML eller i dess ursprungliga format).",Settings:"*Inst\u00E4llninga * ger dig kontroll \u00F6ver funktionerna i MathJax, s\u00E5 som storleken p\u00E5 matematiken och den mekanism som anv\u00E4nds f\u00F6r att visa ekvationer.",Language:"*Spr\u00E5k* l\u00E5ter dig v\u00E4lja spr\u00E5ket som MathJax ska anv\u00E4nda f\u00F6r sina menyer och varningsmeddelanden.",Zoom:"*Matematik zoom*: Om du har sv\u00E5rt att l\u00E4sa en ekvation, kan MathJax f\u00F6rstora den f\u00F6r att hj\u00E4lpa dig se den b\u00E4ttre.",Accessibilty:"*Tillg\u00E4nglighet*: MathJax fungerar automatiskt med sk\u00E4rml\u00E4sare f\u00F6r att g\u00F6ra matematik tillg\u00E4nglig f\u00F6r synskadade.",Fonts:"*Typsnitt*: MathJax kommer att anv\u00E4nda vissa matematiska teckensnitt om de \u00E4r installerade p\u00E5 din dator; annars anv\u00E4nder den webb-baserade teckensnitt. \u00C4ven om det inte kr\u00E4vs, kommer lokalt installerade teckensnitt att p\u00E5skynda typs\u00E4ttningen. Vi f\u00F6resl\u00E5r installation av [STIX-typsnitt](%1).",CloseDialog:"St\u00E4ng hj\u00E4lpdialogen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/HelpDialog.js");
+MathJax.Localization.addTranslation("sv","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"MathJax-hj\u00E4lp",MathJax:"*MathJax* \u00E4r ett JavaScript-bibliotek som till\u00E5ter f\u00F6rfattare att inkludera matematik p\u00E5 sina webbsidor. Som l\u00E4sare beh\u00F6ver du inte g\u00F6ra n\u00E5got f\u00F6r att f\u00E5 det att h\u00E4nda.",Browsers:"*Webbl\u00E4sare*: MathJax fungerar med alla moderna webbl\u00E4sare inklusive IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ och de flesta mobila webbl\u00E4sare.",Menu:"*Matematik-menyn*: MathJax l\u00E4gger till en kontextuell meny till ekvationer. H\u00F6gerklicka eller Ctrl-klicka p\u00E5 n\u00E5gon matematik att komma \u00E5t menyn.",ShowMath:"*Visa matematik som* g\u00F6r att du kan visa formelns k\u00E4llkod f\u00F6r att klipp \u0026 klistra in (som MathML eller i dess ursprungliga format).",Settings:"*Inst\u00E4llninga * ger dig kontroll \u00F6ver funktionerna i MathJax, s\u00E5 som storleken p\u00E5 matematiken och den mekanism som anv\u00E4nds f\u00F6r att visa ekvationer.",Language:"*Spr\u00E5k* l\u00E5ter dig v\u00E4lja spr\u00E5ket som MathJax ska anv\u00E4nda f\u00F6r sina menyer och varningsmeddelanden.",Zoom:"*Matematik zoom*: Om du har sv\u00E5rt att l\u00E4sa en ekvation, kan MathJax f\u00F6rstora den f\u00F6r att hj\u00E4lpa dig se den b\u00E4ttre.",Accessibilty:"*Tillg\u00E4nglighet*: MathJax fungerar automatiskt med sk\u00E4rml\u00E4sare f\u00F6r att g\u00F6ra matematik tillg\u00E4nglig f\u00F6r synskadade.",Fonts:"*Typsnitt*: MathJax kommer att anv\u00E4nda vissa matematiska teckensnitt om de \u00E4r installerade p\u00E5 din dator; annars anv\u00E4nder den webb-baserade teckensnitt. \u00C4ven om det inte kr\u00E4vs, kommer lokalt installerade teckensnitt att p\u00E5skynda typs\u00E4ttningen. Vi f\u00F6resl\u00E5r installation av [STIX-typsnitt](%1).",CloseDialog:"St\u00E4ng hj\u00E4lpdialogen"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/HelpDialog.js");
diff --git a/localization/sv/MathML.js b/localization/sv/MathML.js
index 9c0332b265..645a765cad 100644
--- a/localization/sv/MathML.js
+++ b/localization/sv/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sv/MathML.js
+ *  /MathJax-v2/localization/sv/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"D\u00E5lig mglyph: %1",BadMglyphFont:"D\u00E5ligt typsnitt: %1",MathPlayer:"MathJax kunde inte st\u00E4lla in MathPlayer.\n\nOm MathPlayer inte \u00E4r installerat, m\u00E5ste du installera \nden f\u00F6rst. Annars kan det h\u00E4nda att dina \ns\u00E4kerhetsinst\u00E4llningar f\u00F6rhindrar ActiveX-kontroller \nfr\u00E5n att k\u00F6ras. Anv\u00E4nd internetinst\u00E4llningar i \nverktygsmenyn, v\u00E4lj s\u00E4kerhetspanelen, klicka sedan \nanv\u00E4ndardefinierad niv\u00E5-knappen. Kontrollera att \ninst\u00E4llningarna f\u00F6r 'K\u00F6r ActiveX-kontroller' samt \n'Bin\u00E4r och skript-beteenden' \u00E4r aktiverade.\n\nF\u00F6r n\u00E4rvarande kommer du att se flemeddelande snarare \n\u00E4n typsatt matematik",CantCreateXMLParser:"MathJax kunde inte skapa en XML-tolk f\u00F6r MathML. Kontrollera att \ns\u00E4kerhetsinst\u00E4llningen 'Script ActiveX X-kontroller som markerats \nsom s\u00E4kra f\u00F6r skript' \u00E4r aktiverad (anv\u00E4nd internetinst\u00E4llningar \ni verktygsmenyn, v\u00E4lj s\u00E4kerhetspanelen, klicka sedan \nanv\u00E4ndardefinierad niv\u00E5-knappen f\u00F6r att kontrollera detta).\n\nMathML-ekvationer kommer inte kunna hanteras av MathJax",UnknownNodeType:"Ok\u00E4nd nodtyp: %1",UnexpectedTextNode:"Ov\u00E4ntad textnod: %1",ErrorParsingMathML:"Fel vid tolkning av MathML",ParsingError:"Fel vid tolkning av MathML: %1",MathMLSingleElement:"MathML m\u00E5ste bildas av ett enskilt element",MathMLRootElement:"MathML m\u00E5ste bildas av ett \u003Cmath\u003E-element, inte %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/MathML.js");
+MathJax.Localization.addTranslation("sv","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"D\u00E5lig mglyph: %1",BadMglyphFont:"D\u00E5ligt typsnitt: %1",MathPlayer:"MathJax kunde inte st\u00E4lla in MathPlayer.\n\nOm MathPlayer inte \u00E4r installerat, m\u00E5ste du installera \nden f\u00F6rst. Annars kan det h\u00E4nda att dina \ns\u00E4kerhetsinst\u00E4llningar f\u00F6rhindrar ActiveX-kontroller \nfr\u00E5n att k\u00F6ras. Anv\u00E4nd internetinst\u00E4llningar i \nverktygsmenyn, v\u00E4lj s\u00E4kerhetspanelen, klicka sedan \nanv\u00E4ndardefinierad niv\u00E5-knappen. Kontrollera att \ninst\u00E4llningarna f\u00F6r 'K\u00F6r ActiveX-kontroller' samt \n'Bin\u00E4r och skript-beteenden' \u00E4r aktiverade.\n\nF\u00F6r n\u00E4rvarande kommer du att se flemeddelande snarare \n\u00E4n typsatt matematik",CantCreateXMLParser:"MathJax kunde inte skapa en XML-tolk f\u00F6r MathML. Kontrollera att \ns\u00E4kerhetsinst\u00E4llningen 'Script ActiveX X-kontroller som markerats \nsom s\u00E4kra f\u00F6r skript' \u00E4r aktiverad (anv\u00E4nd internetinst\u00E4llningar \ni verktygsmenyn, v\u00E4lj s\u00E4kerhetspanelen, klicka sedan \nanv\u00E4ndardefinierad niv\u00E5-knappen f\u00F6r att kontrollera detta).\n\nMathML-ekvationer kommer inte kunna hanteras av MathJax",UnknownNodeType:"Ok\u00E4nd nodtyp: %1",UnexpectedTextNode:"Ov\u00E4ntad textnod: %1",ErrorParsingMathML:"Fel vid tolkning av MathML",ParsingError:"Fel vid tolkning av MathML: %1",MathMLSingleElement:"MathML m\u00E5ste bildas av ett enskilt element",MathMLRootElement:"MathML m\u00E5ste bildas av ett \u003Cmath\u003E-element, inte %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/MathML.js");
diff --git a/localization/sv/MathMenu.js b/localization/sv/MathMenu.js
index e359acf8ce..a829af457b 100644
--- a/localization/sv/MathMenu.js
+++ b/localization/sv/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sv/MathMenu.js
+ *  /MathJax-v2/localization/sv/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv","MathMenu",{version:"2.7.6",isLoaded:true,strings:{MathMLcode:"MathML-kod",OriginalMathML:"Ursprunglig MathML",TeXCommands:"TeX-kommandon",AsciiMathInput:"AsciiMathML-indata",Original:"Ursprungligt format",ErrorMessage:"Felmeddelande",TeX:"TeX",StarMath:"StarMath",OpenMath:"OpenMath",Click:"Klick",DoubleClick:"Dubbelklick",NoZoom:"Ingen zoom",Option:"Alternativ",Alt:"Alt",Command:"\u2318 (Cmd)",Control:"Ctrl",Shift:"Skift",MenuEvents:"Menyh\u00E4ndelser",MouseEvents:"Mush\u00E4ndelser",MenuAndMouse:"Mus- och menyh\u00E4ndelser",FontPrefs:"Teckensnittsinst\u00E4llningar",ForHTMLCSS:"F\u00F6r HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (lokal)",TeXWeb:"TeX (webb)",TeXImage:"TeX (bild)",STIXLocal:"STIX (lokal)",STIXWeb:"STIX (webb)",AsanaMathWeb:"Asana Math (webb)",GyrePagellaWeb:"Gyre Pagella (webb)",GyreTermesWeb:"Gyre Termes (webb)",LatinModernWeb:"Latin Modern (webb)",NeoEulerWeb:"Neo Euler (webb)",Browser:"Webbl\u00E4sare",Discoverable:"Markera vid hovring",Locale:"Spr\u00E5k",LoadLocale:"L\u00E4s in fr\u00E5n URL ...",About:"Om MathJax",Help:"MathJax-hj\u00E4lp",eotffonts:"EOT-teckensnitt",svgfonts:"SVG-teckensnitt",MSIENativeMMLWarning:"Internet Explorer kr\u00E4ver insticksmodulen MathPlayer f\u00F6r att kunna bearbeta MathML-utdata.",NonZeroScale:"Skalan b\u00F6r inte vara noll",PercentScale:"Skalan b\u00F6r vara en procentsats (t.ex. 120%%)",Close:"St\u00E4ng",Show:"Visa matematik som",Annotation:"Anm\u00E4rkning",Maple:"Maple",ContentMathML:"Content MathML",texHints:"Visa TeX tips i MathML",Settings:"Matematikinst\u00E4llningar",ZoomTrigger:"Zoomutl\u00F6sare",Hover:"Hovra",TriggerRequires:"Utl\u00F6sare kr\u00E4ver:",ZoomFactor:"Zoom-faktor",Renderer:"Matematik-renderare",MPHandles:"L\u00E5t MathPlayer hantera:",ContextMenu:"Kontextuell meny",Scale:"Skala all matematik...",localTeXfonts:"anv\u00E4nder lokala TeX-typsnitt",webTeXfonts:"anv\u00E4nder webb-TeX-typsnitt",imagefonts:"anv\u00E4nder bild-typsnitt",localSTIXfonts:"anv\u00E4nder lokala STIX-typsnitt",webSVGfonts:"anv\u00E4nder webb-SVG-typsnitt",genericfonts:"anv\u00E4nder generiska Unicode-typsnitt",wofforotffonts:"WOFF- eller OTF-typsnitt",WebkitNativeMMLWarning:"Din webbl\u00E4sare verkar sakna inbyggt st\u00F6d f\u00F6r MathML, att byta till MathML-utdata kan d\u00E4rf\u00F6r g\u00F6ra att matematiken p\u00E5 sidan blir ol\u00E4sbar",OperaNativeMMLWarning:"Operas st\u00F6d f\u00F6r MathML \u00E4r begr\u00E4nsad, att byta till MathML-utdata kan d\u00E4rf\u00F6r g\u00F6ra att vissa uttryck \u00E5terges d\u00E5ligt.",SafariNativeMMLWarning:"Din webbl\u00E4sares inbyggda MathML implementerar inte alla de funktioner som anv\u00E4nds av MathJax, vissa uttryck kan d\u00E4rf\u00F6r \u00E5terges inkorrekt.",FirefoxNativeMMLWarning:"Din webbl\u00E4sares inbyggda MathML implementerar inte alla de funktioner som anv\u00E4nds av MathJax, vissa uttryck kan d\u00E4rf\u00F6r \u00E5terges inkorrekt.",MSIESVGWarning:"SVG implementeras inte i Internet Explorer f\u00F6re IE9 eller n\u00E4r den emulerar IE8 eller l\u00E4gre. Ett byte till SVG-utdata kommer att g\u00F6ra att matematiken inte visas korrekt.",LoadURL:"Ladda \u00F6vers\u00E4ttningsdata fr\u00E5n denna URL:",BadURL:'URL-adressen b\u00F6r g\u00E5 till en JavaScript-fil som definierar MathJax-\u00F6vers\u00E4ttningsdata. JavaScript-filnamn b\u00F6r avslutas med ".js"',BadData:"Misslyckades med att ladda \u00F6vers\u00E4ttningsdata fr\u00E5n %1",SwitchAnyway:"Byt renderare \u00E4nd\u00E5?\n\n(Tryck p\u00E5 OK f\u00F6r att byta, AVBRYT f\u00F6r att forts\u00E4tta med nuvarande renderare)",ScaleMath:"Skala alla matematik (j\u00E4mf\u00F6rt med omgivande text) med",IE8warning:"Detta kommer att inaktivera MathJax-menyn och zoom-funktionen, men du kan Alt-klicka p\u00E5 ett uttryck att f\u00E5 MathJax-menyn ist\u00E4llet.\n\nVill du verkligen \u00E4ndra MathPlayer-inst\u00E4llningarna?",IE9warning:"MathJax kontextuella meny kommer att vara inaktiverade, men du kan Alt-Klicka p\u00E5 ett uttryck f\u00F6r att f\u00E5 MathJax-menyn ist\u00E4llet.",NoOriginalForm:"Inget ursprungligt format tillg\u00E4ngligt",EqSource:"MathJax ekvationsk\u00E4lla",CloseAboutDialog:'St\u00E4ng dialogen "Om MathJax"',FastPreview:"Snabb f\u00F6rhandsvisning",AssistiveMML:"Assisterande MathML",InTabOrder:"Inkludera i flikordning"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/MathMenu.js");
+MathJax.Localization.addTranslation("sv","MathMenu",{version:"2.7.9",isLoaded:true,strings:{MathMLcode:"MathML-kod",OriginalMathML:"Ursprunglig MathML",TeXCommands:"TeX-kommandon",AsciiMathInput:"AsciiMathML-indata",Original:"Ursprungligt format",ErrorMessage:"Felmeddelande",TeX:"TeX",StarMath:"StarMath",OpenMath:"OpenMath",Click:"Klick",DoubleClick:"Dubbelklick",NoZoom:"Ingen zoom",Option:"Alternativ",Alt:"Alt",Command:"\u2318 (Cmd)",Control:"Ctrl",Shift:"Skift",MenuEvents:"Menyh\u00E4ndelser",MouseEvents:"Mush\u00E4ndelser",MenuAndMouse:"Mus- och menyh\u00E4ndelser",FontPrefs:"Teckensnittsinst\u00E4llningar",ForHTMLCSS:"F\u00F6r HTML-CSS:",Auto:"Auto",TeXLocal:"TeX (lokal)",TeXWeb:"TeX (webb)",TeXImage:"TeX (bild)",STIXLocal:"STIX (lokal)",STIXWeb:"STIX (webb)",AsanaMathWeb:"Asana Math (webb)",GyrePagellaWeb:"Gyre Pagella (webb)",GyreTermesWeb:"Gyre Termes (webb)",LatinModernWeb:"Latin Modern (webb)",NeoEulerWeb:"Neo Euler (webb)",Browser:"Webbl\u00E4sare",Discoverable:"Markera vid hovring",Locale:"Spr\u00E5k",LoadLocale:"L\u00E4s in fr\u00E5n URL ...",About:"Om MathJax",Help:"MathJax-hj\u00E4lp",eotffonts:"EOT-teckensnitt",svgfonts:"SVG-teckensnitt",MSIENativeMMLWarning:"Internet Explorer kr\u00E4ver insticksmodulen MathPlayer f\u00F6r att kunna bearbeta MathML-utdata.",NonZeroScale:"Skalan b\u00F6r inte vara noll",PercentScale:"Skalan b\u00F6r vara en procentsats (t.ex. 120%%)",Close:"St\u00E4ng",Show:"Visa matematik som",Annotation:"Anm\u00E4rkning",Maple:"Maple",ContentMathML:"Content MathML",texHints:"Visa TeX tips i MathML",Settings:"Matematikinst\u00E4llningar",ZoomTrigger:"Zoomutl\u00F6sare",Hover:"Hovra",TriggerRequires:"Utl\u00F6sare kr\u00E4ver:",ZoomFactor:"Zoom-faktor",Renderer:"Matematik-renderare",MPHandles:"L\u00E5t MathPlayer hantera:",ContextMenu:"Kontextuell meny",Scale:"Skala all matematik...",localTeXfonts:"anv\u00E4nder lokala TeX-typsnitt",webTeXfonts:"anv\u00E4nder webb-TeX-typsnitt",imagefonts:"anv\u00E4nder bild-typsnitt",localSTIXfonts:"anv\u00E4nder lokala STIX-typsnitt",webSVGfonts:"anv\u00E4nder webb-SVG-typsnitt",genericfonts:"anv\u00E4nder generiska Unicode-typsnitt",wofforotffonts:"WOFF- eller OTF-typsnitt",WebkitNativeMMLWarning:"Din webbl\u00E4sare verkar sakna inbyggt st\u00F6d f\u00F6r MathML, att byta till MathML-utdata kan d\u00E4rf\u00F6r g\u00F6ra att matematiken p\u00E5 sidan blir ol\u00E4sbar",OperaNativeMMLWarning:"Operas st\u00F6d f\u00F6r MathML \u00E4r begr\u00E4nsad, att byta till MathML-utdata kan d\u00E4rf\u00F6r g\u00F6ra att vissa uttryck \u00E5terges d\u00E5ligt.",SafariNativeMMLWarning:"Din webbl\u00E4sares inbyggda MathML implementerar inte alla de funktioner som anv\u00E4nds av MathJax, vissa uttryck kan d\u00E4rf\u00F6r \u00E5terges inkorrekt.",FirefoxNativeMMLWarning:"Din webbl\u00E4sares inbyggda MathML implementerar inte alla de funktioner som anv\u00E4nds av MathJax, vissa uttryck kan d\u00E4rf\u00F6r \u00E5terges inkorrekt.",MSIESVGWarning:"SVG implementeras inte i Internet Explorer f\u00F6re IE9 eller n\u00E4r den emulerar IE8 eller l\u00E4gre. Ett byte till SVG-utdata kommer att g\u00F6ra att matematiken inte visas korrekt.",LoadURL:"Ladda \u00F6vers\u00E4ttningsdata fr\u00E5n denna URL:",BadURL:'URL-adressen b\u00F6r g\u00E5 till en JavaScript-fil som definierar MathJax-\u00F6vers\u00E4ttningsdata. JavaScript-filnamn b\u00F6r avslutas med ".js"',BadData:"Misslyckades med att ladda \u00F6vers\u00E4ttningsdata fr\u00E5n %1",SwitchAnyway:"Byt renderare \u00E4nd\u00E5?\n\n(Tryck p\u00E5 OK f\u00F6r att byta, AVBRYT f\u00F6r att forts\u00E4tta med nuvarande renderare)",ScaleMath:"Skala alla matematik (j\u00E4mf\u00F6rt med omgivande text) med",IE8warning:"Detta kommer att inaktivera MathJax-menyn och zoom-funktionen, men du kan Alt-klicka p\u00E5 ett uttryck att f\u00E5 MathJax-menyn ist\u00E4llet.\n\nVill du verkligen \u00E4ndra MathPlayer-inst\u00E4llningarna?",IE9warning:"MathJax kontextuella meny kommer att vara inaktiverade, men du kan Alt-Klicka p\u00E5 ett uttryck f\u00F6r att f\u00E5 MathJax-menyn ist\u00E4llet.",NoOriginalForm:"Inget ursprungligt format tillg\u00E4ngligt",EqSource:"MathJax ekvationsk\u00E4lla",CloseAboutDialog:'St\u00E4ng dialogen "Om MathJax"',FastPreview:"Snabb f\u00F6rhandsvisning",AssistiveMML:"Assisterande MathML",InTabOrder:"Inkludera i flikordning"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/MathMenu.js");
diff --git a/localization/sv/TeX.js b/localization/sv/TeX.js
index d3b86a7e64..f9d2ee5b9e 100644
--- a/localization/sv/TeX.js
+++ b/localization/sv/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sv/TeX.js
+ *  /MathJax-v2/localization/sv/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"Extra v\u00E4nsterklammerparentes eller h\u00F6gerklammerparentes saknas",ExtraCloseMissingOpen:"Extra h\u00F6gerklammerparentes eller v\u00E4nsterklammerparentes saknas",MissingLeftExtraRight:"Saknad \\left eller en extra \\right",ExtraLeftMissingRight:"Extra \\left eller en saknad \\right",Misplaced:"Felplacerad %1",MissingOpenForSub:"Saknad v\u00E4nsterklammerparentes f\u00F6r index",MissingOpenForSup:"Saknad v\u00E4nsterklammerparentes f\u00F6r exponent",AmbiguousUseOf:"Tvetydig anv\u00E4ndning av %1",EnvBadEnd:"\\begin{%1} slutade med \\end{%2}",EnvMissingEnd:"Saknad \\end{%1}",MissingBoxFor:"Saknad l\u00E5da f\u00F6r %1",MissingCloseBrace:"Saknad h\u00F6gerklammerparentes",UndefinedControlSequence:"Odefinierad kontrollsekvens %1",DoubleExponent:"Dubbel exponent: anv\u00E4nd klammerparenteser f\u00F6r att klarg\u00F6ra",DoubleSubscripts:"Dubbla index: anv\u00E4nd klammerparenteser f\u00F6r att klarg\u00F6ra",MisplacedMiddle:"%1 m\u00E5ste vara inom \\left och \\right",MisplacedLimits:"%1 till\u00E5ts endast p\u00E5 operat\u00F6rer",MisplacedMoveRoot:"%1 kan endast visas inom en rot",MultipleCommand:"Flera %1",IntegerArg:"Argumentet till %1 m\u00E5ste vara ett heltal",NotMathMLToken:"%1 \u00E4r inte ett token-element",InvalidMathMLAttr:"Ogiltigt MathML-attribut: %1",UnknownAttrForElement:"%1 \u00E4r inte ett igenk\u00E4ndt attribut f\u00F6r %2",MissingArgFor:"Saknat argument f\u00F6r %1",InvalidEnv:"Ogiltigt milj\u00F6namn '%1'",UnknownEnv:"Ok\u00E4nd milj\u00F6 '%1'",ExtraCloseLooking:"Extra h\u00F6gerklammerparentes n\u00E4r %1 s\u00F6ktes",MissingCloseBracket:"Kunde inte hitta avslutande ']' f\u00F6r argumentet till %1",TokenNotFoundForCommand:"Kunde inte hitta %1 f\u00F6r %2",CommandNotAllowedInEnv:"%1 till\u00E5ts inte i %2-milj\u00F6n",MultipleLabel:"Etiketten '%1' definierades flera g\u00E5nger",CommandAtTheBeginingOfLine:"%1 m\u00E5ste vara i b\u00F6rjan p\u00E5 raden",IllegalAlign:"Ogiltig justering anges i %1",MultipleBBoxProperty:"%1 anges tv\u00E5 g\u00E5nger i %2",ExtraEndMissingBegin:"Extra %1 eller en saknad \\begingroup",GlobalNotFollowedBy:"%1 f\u00F6ljs inte av \\let, \\def eller \\newcommand",UndefinedColorModel:"F\u00E4rgmodellen '%1' \u00E4r inte definierad",InvalidDecimalNumber:"Ogiltig decimaltal",InvalidNumber:"Ogiltigt nummer",NoClosingChar:"Kan inte hitta avslutande %1",IllegalControlSequenceName:"Ogiltigt kontrollsekvensnamn f\u00F6r %1",IllegalParamNumber:"Ogiltigt antal parametrar anges i %1",MissingScript:"Saknat argument f\u00F6r exponent- eller indexl\u00E4ge",DoubleExponentPrime:"Primtecken orsakar dubbla exponenter: Anv\u00E4nd klammerparenteser f\u00F6r att klarg\u00F6ra",CantUseHash1:"Du kan inte anv\u00E4nda 'makroparameter-tecknet #' i matematikl\u00E4ge",MaxMacroSub1:"MathJax maximala antal makro-substitutioner har \u00F6verskridits; finns det ett rekursivt makroanrop?",MaxMacroSub2:"MathJax maximala antal substitutioner har \u00F6verskridits; finns det en rekursiv LaTeX-milj\u00F6?",ExtraAlignTab:"Extra \u0026-tecken i \\cases-text",BracketMustBeDimension:"Argumentet innanf\u00F6r klammerparenteser till %1 m\u00E5ste vara en dimension",MissingOrUnrecognizedDelim:"Saknad eller \u00E4r ok\u00E4nd avgr\u00E4nsare f\u00F6r %1",MissingDimOrUnits:"Saknar dimension eller dess enheter f\u00F6r %1",MathNotTerminated:"Matematiskt uttryckt ej avslutat i textrutan",IllegalMacroParam:"Ogiltig referens till makroparameter",MaxBufferSize:"MathJax intern buffertstorlek har \u00F6verskridits; finns d\u00E4r ett rekursivt makroanrop?",BadMathStyleFor:"D\u00E5lig matematikstil f\u00F6r %1",PositiveIntegerArg:"Argumentet till %1 m\u00E5ste vara ett positivt heltal",ErroneousNestingEq:"Felaktigt n\u00E4stling av ekvationsstrukturer",MultlineRowsOneCol:"Raderna inom %1-milj\u00F6n m\u00E5ste ha exakt en kolumn",InvalidBBoxProperty:"'%1' verkar inte vara en f\u00E4rg, en utfyllnadsdimension eller en stil",ModelArg1:"F\u00E4rgv\u00E4rden f\u00F6r f\u00E4rgmodell %1 kr\u00E4ver 3 nummer",ModelArg2:"F\u00E4rgv\u00E4rden f\u00F6r f\u00E4rgmodell %1 m\u00E5ste vara mellan %2 och %3",NewextarrowArg1:"F\u00F6rsta argumentet till %1 m\u00E5ste vara namnet p\u00E5 en kontrollsekvens",NewextarrowArg2:"Andra argumentet till %1 m\u00E5ste vara tv\u00E5 heltal separerade av ett komma",NewextarrowArg3:"Tredje argumentet till %1 m\u00E5ste vara nummeret p\u00E5 ett Unicode-tecken",MissingCS:"%1 m\u00E5ste f\u00F6ljas av en kontrollsekvens",CantUseHash2:"Ogiltig anv\u00E4ndning av # i mallen f\u00F6r %1",SequentialParam:"Parametrar f\u00F6r %1 m\u00E5ste numreras sekventiellt",MissingReplacementString:"Saknar ers\u00E4ttningsstr\u00E4ngen f\u00F6r definition av %1",MismatchUseDef:"Anv\u00E4ndning av %1 matchar inte dess definition",RunawayArgument:"Skenande argument f\u00F6r %1?",NoClosingDelim:"Kunde inte hitta avslutande avgr\u00E4nsare f\u00F6r %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/TeX.js");
+MathJax.Localization.addTranslation("sv","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"Extra v\u00E4nsterklammerparentes eller h\u00F6gerklammerparentes saknas",ExtraCloseMissingOpen:"Extra h\u00F6gerklammerparentes eller v\u00E4nsterklammerparentes saknas",MissingLeftExtraRight:"Saknad \\left eller en extra \\right",ExtraLeftMissingRight:"Extra \\left eller en saknad \\right",Misplaced:"Felplacerad %1",MissingOpenForSub:"Saknad v\u00E4nsterklammerparentes f\u00F6r index",MissingOpenForSup:"Saknad v\u00E4nsterklammerparentes f\u00F6r exponent",AmbiguousUseOf:"Tvetydig anv\u00E4ndning av %1",EnvBadEnd:"\\begin{%1} slutade med \\end{%2}",EnvMissingEnd:"Saknad \\end{%1}",MissingBoxFor:"Saknad l\u00E5da f\u00F6r %1",MissingCloseBrace:"Saknad h\u00F6gerklammerparentes",UndefinedControlSequence:"Odefinierad kontrollsekvens %1",DoubleExponent:"Dubbel exponent: anv\u00E4nd klammerparenteser f\u00F6r att klarg\u00F6ra",DoubleSubscripts:"Dubbla index: anv\u00E4nd klammerparenteser f\u00F6r att klarg\u00F6ra",MisplacedMiddle:"%1 m\u00E5ste vara inom \\left och \\right",MisplacedLimits:"%1 till\u00E5ts endast p\u00E5 operat\u00F6rer",MisplacedMoveRoot:"%1 kan endast visas inom en rot",MultipleCommand:"Flera %1",IntegerArg:"Argumentet till %1 m\u00E5ste vara ett heltal",NotMathMLToken:"%1 \u00E4r inte ett token-element",InvalidMathMLAttr:"Ogiltigt MathML-attribut: %1",UnknownAttrForElement:"%1 \u00E4r inte ett igenk\u00E4ndt attribut f\u00F6r %2",MissingArgFor:"Saknat argument f\u00F6r %1",InvalidEnv:"Ogiltigt milj\u00F6namn '%1'",UnknownEnv:"Ok\u00E4nd milj\u00F6 '%1'",ExtraCloseLooking:"Extra h\u00F6gerklammerparentes n\u00E4r %1 s\u00F6ktes",MissingCloseBracket:"Kunde inte hitta avslutande ']' f\u00F6r argumentet till %1",TokenNotFoundForCommand:"Kunde inte hitta %1 f\u00F6r %2",CommandNotAllowedInEnv:"%1 till\u00E5ts inte i %2-milj\u00F6n",MultipleLabel:"Etiketten '%1' definierades flera g\u00E5nger",CommandAtTheBeginingOfLine:"%1 m\u00E5ste vara i b\u00F6rjan p\u00E5 raden",IllegalAlign:"Ogiltig justering anges i %1",MultipleBBoxProperty:"%1 anges tv\u00E5 g\u00E5nger i %2",ExtraEndMissingBegin:"Extra %1 eller en saknad \\begingroup",GlobalNotFollowedBy:"%1 f\u00F6ljs inte av \\let, \\def eller \\newcommand",UndefinedColorModel:"F\u00E4rgmodellen '%1' \u00E4r inte definierad",InvalidDecimalNumber:"Ogiltig decimaltal",InvalidNumber:"Ogiltigt nummer",NoClosingChar:"Kan inte hitta avslutande %1",IllegalControlSequenceName:"Ogiltigt kontrollsekvensnamn f\u00F6r %1",IllegalParamNumber:"Ogiltigt antal parametrar anges i %1",MissingScript:"Saknat argument f\u00F6r exponent- eller indexl\u00E4ge",DoubleExponentPrime:"Primtecken orsakar dubbla exponenter: Anv\u00E4nd klammerparenteser f\u00F6r att klarg\u00F6ra",CantUseHash1:"Du kan inte anv\u00E4nda 'makroparameter-tecknet #' i matematikl\u00E4ge",MaxMacroSub1:"MathJax maximala antal makro-substitutioner har \u00F6verskridits; finns det ett rekursivt makroanrop?",MaxMacroSub2:"MathJax maximala antal substitutioner har \u00F6verskridits; finns det en rekursiv LaTeX-milj\u00F6?",ExtraAlignTab:"Extra \u0026-tecken i \\cases-text",BracketMustBeDimension:"Argumentet innanf\u00F6r klammerparenteser till %1 m\u00E5ste vara en dimension",MissingOrUnrecognizedDelim:"Saknad eller \u00E4r ok\u00E4nd avgr\u00E4nsare f\u00F6r %1",MissingDimOrUnits:"Saknar dimension eller dess enheter f\u00F6r %1",MathNotTerminated:"Matematiskt uttryckt ej avslutat i textrutan",IllegalMacroParam:"Ogiltig referens till makroparameter",MaxBufferSize:"MathJax intern buffertstorlek har \u00F6verskridits; finns d\u00E4r ett rekursivt makroanrop?",BadMathStyleFor:"D\u00E5lig matematikstil f\u00F6r %1",PositiveIntegerArg:"Argumentet till %1 m\u00E5ste vara ett positivt heltal",ErroneousNestingEq:"Felaktigt n\u00E4stling av ekvationsstrukturer",MultlineRowsOneCol:"Raderna inom %1-milj\u00F6n m\u00E5ste ha exakt en kolumn",InvalidBBoxProperty:"'%1' verkar inte vara en f\u00E4rg, en utfyllnadsdimension eller en stil",ModelArg1:"F\u00E4rgv\u00E4rden f\u00F6r f\u00E4rgmodell %1 kr\u00E4ver 3 nummer",ModelArg2:"F\u00E4rgv\u00E4rden f\u00F6r f\u00E4rgmodell %1 m\u00E5ste vara mellan %2 och %3",NewextarrowArg1:"F\u00F6rsta argumentet till %1 m\u00E5ste vara namnet p\u00E5 en kontrollsekvens",NewextarrowArg2:"Andra argumentet till %1 m\u00E5ste vara tv\u00E5 heltal separerade av ett komma",NewextarrowArg3:"Tredje argumentet till %1 m\u00E5ste vara nummeret p\u00E5 ett Unicode-tecken",MissingCS:"%1 m\u00E5ste f\u00F6ljas av en kontrollsekvens",CantUseHash2:"Ogiltig anv\u00E4ndning av # i mallen f\u00F6r %1",SequentialParam:"Parametrar f\u00F6r %1 m\u00E5ste numreras sekventiellt",MissingReplacementString:"Saknar ers\u00E4ttningsstr\u00E4ngen f\u00F6r definition av %1",MismatchUseDef:"Anv\u00E4ndning av %1 matchar inte dess definition",RunawayArgument:"Skenande argument f\u00F6r %1?",NoClosingDelim:"Kunde inte hitta avslutande avgr\u00E4nsare f\u00F6r %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/TeX.js");
diff --git a/localization/sv/sv.js b/localization/sv/sv.js
index 95b1ea198d..c298c983ac 100644
--- a/localization/sv/sv.js
+++ b/localization/sv/sv.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/sv/sv.js
+ *  /MathJax-v2/localization/sv/sv.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("sv",null,{menuTitle:"svenska",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax har hittat en anv\u00E4ndarkonfigurations-cookie som inneh\u00E5ller kod som kan k\u00F6ras. Vill du k\u00F6ra den?\n\n(Du b\u00F6r trycka p\u00E5 Avbryt om du inte sj\u00E4lv har lagt upp denna cookie.)",MathProcessingError:"Matematikbearbetningsfel",MathError:"Matematikfel",LoadFile:"L\u00E4ser in %1",Loading:"L\u00E4ser in",LoadFailed:"Filen kunde inte l\u00E4sas in: %1",ProcessMath:"Bearbetar matematik: %1%%",Processing:"Bearbetar",TypesetMath:"Typs\u00E4tter matematik: %1%%",Typesetting:"Typs\u00E4ttning",MathJaxNotSupported:"Din webbl\u00E4sare st\u00F6der inte MathJax",ErrorTips:"Fels\u00F6kningstips: anv\u00E4nd %%1, inspektera %%2 i webbl\u00E4sarkonsolen"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/sv.js");
+MathJax.Localization.addTranslation("sv",null,{menuTitle:"svenska",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax har hittat en anv\u00E4ndarkonfigurations-cookie som inneh\u00E5ller kod som kan k\u00F6ras. Vill du k\u00F6ra den?\n\n(Du b\u00F6r trycka p\u00E5 Avbryt om du inte sj\u00E4lv har lagt upp denna cookie.)",MathProcessingError:"Matematikbearbetningsfel",MathError:"Matematikfel",LoadFile:"L\u00E4ser in %1",Loading:"L\u00E4ser in",LoadFailed:"Filen kunde inte l\u00E4sas in: %1",ProcessMath:"Bearbetar matematik: %1%%",Processing:"Bearbetar",TypesetMath:"Typs\u00E4tter matematik: %1%%",Typesetting:"Typs\u00E4ttning",MathJaxNotSupported:"Din webbl\u00E4sare st\u00F6der inte MathJax",ErrorTips:"Fels\u00F6kningstips: anv\u00E4nd %%1, inspektera %%2 i webbl\u00E4sarkonsolen"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a===1){return 1}return 2},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/sv/sv.js");
diff --git a/localization/th/FontWarnings.js b/localization/th/FontWarnings.js
index a3ce5d8bdf..9cdfff438f 100644
--- a/localization/th/FontWarnings.js
+++ b/localization/th/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/th/FontWarnings.js
+ *  /MathJax-v2/localization/th/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("th","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax \u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E17\u0E35\u0E48\u0E2D\u0E22\u0E39\u0E48\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49 \u0E0B\u0E36\u0E48\u0E07\u0E08\u0E30\u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E40\u0E27\u0E25\u0E32\u0E1A\u0E49\u0E32\u0E07\u0E43\u0E19\u0E01\u0E32\u0E23\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14 \u0E2B\u0E32\u0E01\u0E17\u0E48\u0E32\u0E19\u0E15\u0E49\u0E2D\u0E07\u0E01\u0E32\u0E23\u0E42\u0E2B\u0E25\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E43\u0E2B\u0E49\u0E40\u0E23\u0E47\u0E27 \u0E04\u0E27\u0E23\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19",imageFonts:"MathJax \u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E0A\u0E19\u0E34\u0E14\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E\u0E41\u0E17\u0E19\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E2B\u0E23\u0E37\u0E2D\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A \u0E0B\u0E36\u0E48\u0E07\u0E08\u0E30\u0E48\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E20\u0E32\u0E1E (render) \u0E0A\u0E49\u0E32\u0E01\u0E27\u0E48\u0E32\u0E1B\u0E01\u0E15\u0E34 \u0E41\u0E25\u0E30\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E1E\u0E34\u0E21\u0E1E\u0E4C\u0E2D\u0E2D\u0E01\u0E17\u0E32\u0E07\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E1E\u0E34\u0E21\u0E1E\u0E4C \u0E08\u0E30\u0E44\u0E21\u0E48\u0E41\u0E2A\u0E14\u0E07\u0E04\u0E27\u0E32\u0E21\u0E25\u0E30\u0E40\u0E2D\u0E35\u0E22\u0E14\u0E44\u0E14\u0E49\u0E40\u0E15\u0E47\u0E21\u0E17\u0E35\u0E48\u0E19\u0E31\u0E01",noFonts:"MathJax \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E23\u0E30\u0E1A\u0E38\u0E15\u0E33\u0E41\u0E2B\u0E19\u0E48\u0E07\u0E02\u0E2D\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E43\u0E0A\u0E49\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C \u0E23\u0E27\u0E21\u0E16\u0E36\u0E07\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E\u0E44\u0E14\u0E49 \u0E08\u0E36\u0E07\u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E22\u0E39\u0E19\u0E34\u0E42\u0E04\u0E49\u0E14\u0E41\u0E17\u0E19\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E43\u0E2B\u0E49\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E41\u0E2A\u0E14\u0E07\u0E2D\u0E2D\u0E01\u0E17\u0E32\u0E07\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E44\u0E14\u0E49 \u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E1A\u0E32\u0E07\u0E15\u0E31\u0E27\u0E2D\u0E32\u0E08\u0E41\u0E2A\u0E14\u0E07\u0E44\u0E21\u0E48\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19\u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48\u0E1B\u0E23\u0E32\u0E01\u0E0F\u0E40\u0E25\u0E22",webFonts:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E23\u0E38\u0E48\u0E19\u0E43\u0E2B\u0E21\u0E48\u0E2A\u0E48\u0E27\u0E19\u0E21\u0E32\u0E01\u0E2D\u0E19\u0E38\u0E0D\u0E32\u0E15\u0E43\u0E2B\u0E49\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E1C\u0E48\u0E32\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E44\u0E14\u0E49 \u0E01\u0E32\u0E23\u0E1B\u0E23\u0E31\u0E1A\u0E23\u0E38\u0E48\u0E19\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E43\u0E2B\u0E49\u0E40\u0E1B\u0E47\u0E19\u0E23\u0E38\u0E48\u0E19\u0E25\u0E48\u0E32\u0E2A\u0E38\u0E14 (\u0E2B\u0E23\u0E37\u0E2D\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C) \u0E2D\u0E32\u0E08\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E1E\u0E34\u0E48\u0E21\u0E04\u0E38\u0E13\u0E20\u0E32\u0E1E\u0E02\u0E2D\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E17\u0E35\u0E48\u0E41\u0E2A\u0E14\u0E07\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E44\u0E14\u0E49",fonts:"MathJax \u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX](%1) \u0E2B\u0E23\u0E37\u0E2D[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 MathJax](%2) \u0E42\u0E1B\u0E23\u0E14\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E25\u0E30\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E41\u0E1A\u0E1A\u0E43\u0E14\u0E41\u0E1A\u0E1A\u0E2B\u0E19\u0E36\u0E48\u0E07\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax \u0E23\u0E32\u0E1A\u0E23\u0E37\u0E48\u0E19\u0E02\u0E36\u0E49\u0E19",STIXPage:"\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E16\u0E39\u0E01\u0E2D\u0E2D\u0E01\u0E41\u0E1A\u0E1A\u0E21\u0E32\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX](%1)  \u0E42\u0E1B\u0E23\u0E14\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E25\u0E30\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E14\u0E31\u0E07\u0E01\u0E25\u0E48\u0E32\u0E27\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax \u0E23\u0E32\u0E1A\u0E23\u0E37\u0E48\u0E19\u0E02\u0E36\u0E49\u0E19",TeXPage:"\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E16\u0E39\u0E01\u0E2D\u0E2D\u0E01\u0E41\u0E1A\u0E1A\u0E21\u0E32\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 MathJax TeX](%1) \u0E42\u0E1B\u0E23\u0E14\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E25\u0E30\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E14\u0E31\u0E07\u0E01\u0E25\u0E48\u0E32\u0E27\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax \u0E23\u0E32\u0E1A\u0E23\u0E37\u0E48\u0E19\u0E02\u0E36\u0E49\u0E19"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/FontWarnings.js");
+MathJax.Localization.addTranslation("th","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax \u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E17\u0E35\u0E48\u0E2D\u0E22\u0E39\u0E48\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49 \u0E0B\u0E36\u0E48\u0E07\u0E08\u0E30\u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E40\u0E27\u0E25\u0E32\u0E1A\u0E49\u0E32\u0E07\u0E43\u0E19\u0E01\u0E32\u0E23\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14 \u0E2B\u0E32\u0E01\u0E17\u0E48\u0E32\u0E19\u0E15\u0E49\u0E2D\u0E07\u0E01\u0E32\u0E23\u0E42\u0E2B\u0E25\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E43\u0E2B\u0E49\u0E40\u0E23\u0E47\u0E27 \u0E04\u0E27\u0E23\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19",imageFonts:"MathJax \u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E0A\u0E19\u0E34\u0E14\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E\u0E41\u0E17\u0E19\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E2B\u0E23\u0E37\u0E2D\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A \u0E0B\u0E36\u0E48\u0E07\u0E08\u0E30\u0E48\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E20\u0E32\u0E1E (render) \u0E0A\u0E49\u0E32\u0E01\u0E27\u0E48\u0E32\u0E1B\u0E01\u0E15\u0E34 \u0E41\u0E25\u0E30\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E1E\u0E34\u0E21\u0E1E\u0E4C\u0E2D\u0E2D\u0E01\u0E17\u0E32\u0E07\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E1E\u0E34\u0E21\u0E1E\u0E4C \u0E08\u0E30\u0E44\u0E21\u0E48\u0E41\u0E2A\u0E14\u0E07\u0E04\u0E27\u0E32\u0E21\u0E25\u0E30\u0E40\u0E2D\u0E35\u0E22\u0E14\u0E44\u0E14\u0E49\u0E40\u0E15\u0E47\u0E21\u0E17\u0E35\u0E48\u0E19\u0E31\u0E01",noFonts:"MathJax \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E23\u0E30\u0E1A\u0E38\u0E15\u0E33\u0E41\u0E2B\u0E19\u0E48\u0E07\u0E02\u0E2D\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E43\u0E0A\u0E49\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C \u0E23\u0E27\u0E21\u0E16\u0E36\u0E07\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E\u0E44\u0E14\u0E49 \u0E08\u0E36\u0E07\u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E22\u0E39\u0E19\u0E34\u0E42\u0E04\u0E49\u0E14\u0E41\u0E17\u0E19\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E43\u0E2B\u0E49\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E41\u0E2A\u0E14\u0E07\u0E2D\u0E2D\u0E01\u0E17\u0E32\u0E07\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E44\u0E14\u0E49 \u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E1A\u0E32\u0E07\u0E15\u0E31\u0E27\u0E2D\u0E32\u0E08\u0E41\u0E2A\u0E14\u0E07\u0E44\u0E21\u0E48\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19\u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48\u0E1B\u0E23\u0E32\u0E01\u0E0F\u0E40\u0E25\u0E22",webFonts:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E23\u0E38\u0E48\u0E19\u0E43\u0E2B\u0E21\u0E48\u0E2A\u0E48\u0E27\u0E19\u0E21\u0E32\u0E01\u0E2D\u0E19\u0E38\u0E0D\u0E32\u0E15\u0E43\u0E2B\u0E49\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E1C\u0E48\u0E32\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E44\u0E14\u0E49 \u0E01\u0E32\u0E23\u0E1B\u0E23\u0E31\u0E1A\u0E23\u0E38\u0E48\u0E19\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E43\u0E2B\u0E49\u0E40\u0E1B\u0E47\u0E19\u0E23\u0E38\u0E48\u0E19\u0E25\u0E48\u0E32\u0E2A\u0E38\u0E14 (\u0E2B\u0E23\u0E37\u0E2D\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C) \u0E2D\u0E32\u0E08\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E1E\u0E34\u0E48\u0E21\u0E04\u0E38\u0E13\u0E20\u0E32\u0E1E\u0E02\u0E2D\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E17\u0E35\u0E48\u0E41\u0E2A\u0E14\u0E07\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E44\u0E14\u0E49",fonts:"MathJax \u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX](%1) \u0E2B\u0E23\u0E37\u0E2D[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 MathJax](%2) \u0E42\u0E1B\u0E23\u0E14\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E25\u0E30\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E41\u0E1A\u0E1A\u0E43\u0E14\u0E41\u0E1A\u0E1A\u0E2B\u0E19\u0E36\u0E48\u0E07\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax \u0E23\u0E32\u0E1A\u0E23\u0E37\u0E48\u0E19\u0E02\u0E36\u0E49\u0E19",STIXPage:"\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E16\u0E39\u0E01\u0E2D\u0E2D\u0E01\u0E41\u0E1A\u0E1A\u0E21\u0E32\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX](%1)  \u0E42\u0E1B\u0E23\u0E14\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E25\u0E30\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E14\u0E31\u0E07\u0E01\u0E25\u0E48\u0E32\u0E27\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax \u0E23\u0E32\u0E1A\u0E23\u0E37\u0E48\u0E19\u0E02\u0E36\u0E49\u0E19",TeXPage:"\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E16\u0E39\u0E01\u0E2D\u0E2D\u0E01\u0E41\u0E1A\u0E1A\u0E21\u0E32\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 MathJax TeX](%1) \u0E42\u0E1B\u0E23\u0E14\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E25\u0E30\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E14\u0E31\u0E07\u0E01\u0E25\u0E48\u0E32\u0E27\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax \u0E23\u0E32\u0E1A\u0E23\u0E37\u0E48\u0E19\u0E02\u0E36\u0E49\u0E19"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/FontWarnings.js");
diff --git a/localization/th/HTML-CSS.js b/localization/th/HTML-CSS.js
index b691271d65..783e72545a 100644
--- a/localization/th/HTML-CSS.js
+++ b/localization/th/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/th/HTML-CSS.js
+ *  /MathJax-v2/localization/th/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("th","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A %1",CantLoadWebFont:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A %1",FirefoxCantLoadWebFont:"Firefox \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A\u0E08\u0E32\u0E01\u0E42\u0E2E\u0E2A\u0E15\u0E4C\u0E23\u0E30\u0E22\u0E30\u0E44\u0E01\u0E25\u0E44\u0E14\u0E49",CantFindFontUsing:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E49\u0E19\u0E2B\u0E32\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E17\u0E35\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07\u0E42\u0E14\u0E22\u0E43\u0E0A\u0E49 %1",WebFontsNotAvailable:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A \u0E08\u0E30\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E\u0E41\u0E17\u0E19"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/HTML-CSS.js");
+MathJax.Localization.addTranslation("th","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A %1",CantLoadWebFont:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A %1",FirefoxCantLoadWebFont:"Firefox \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A\u0E08\u0E32\u0E01\u0E42\u0E2E\u0E2A\u0E15\u0E4C\u0E23\u0E30\u0E22\u0E30\u0E44\u0E01\u0E25\u0E44\u0E14\u0E49",CantFindFontUsing:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E49\u0E19\u0E2B\u0E32\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E17\u0E35\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07\u0E42\u0E14\u0E22\u0E43\u0E0A\u0E49 %1",WebFontsNotAvailable:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A \u0E08\u0E30\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E\u0E41\u0E17\u0E19"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/HTML-CSS.js");
diff --git a/localization/th/HelpDialog.js b/localization/th/HelpDialog.js
index 31b214effa..880c1aae83 100644
--- a/localization/th/HelpDialog.js
+++ b/localization/th/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/th/HelpDialog.js
+ *  /MathJax-v2/localization/th/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("th","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"\u0E04\u0E27\u0E32\u0E21\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D\u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax",MathJax:"*MathJax* \u0E40\u0E1B\u0E47\u0E19\u0E04\u0E25\u0E31\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E08\u0E32\u0E27\u0E32\u0E2A\u0E04\u0E23\u0E34\u0E1B\u0E15\u0E4C\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E43\u0E2B\u0E49\u0E1C\u0E39\u0E49\u0E17\u0E33\u0E40\u0E27\u0E47\u0E1A\u0E43\u0E2A\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E44\u0E27\u0E49\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E02\u0E2D\u0E07\u0E15\u0E19\u0E44\u0E14\u0E49 \u0E42\u0E14\u0E22\u0E17\u0E48\u0E32\u0E19\u0E43\u0E19\u0E10\u0E32\u0E19\u0E30\u0E1C\u0E39\u0E49\u0E2D\u0E48\u0E32\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E44\u0E21\u0E48\u0E08\u0E33\u0E15\u0E49\u0E2D\u0E07\u0E17\u0E33\u0E2A\u0E34\u0E48\u0E07\u0E2D\u0E37\u0E48\u0E19\u0E43\u0E14\u0E40\u0E25\u0E22",Browsers:"*\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C*: MathJax \u0E17\u0E33\u0E07\u0E32\u0E19\u0E23\u0E48\u0E27\u0E21\u0E01\u0E31\u0E1A\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E23\u0E38\u0E48\u0E19\u0E43\u0E2B\u0E21\u0E48 \u0E46 \u0E44\u0E14\u0E49 \u0E2D\u0E32\u0E17\u0E34 IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0E41\u0E25\u0E30\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E42\u0E17\u0E23\u0E28\u0E31\u0E1E\u0E17\u0E4C\u0E21\u0E37\u0E2D\u0E16\u0E37\u0E2D\u0E2A\u0E48\u0E27\u0E19\u0E43\u0E2B\u0E0D\u0E48",Menu:"*\u0E40\u0E21\u0E19\u0E39\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C*: MathJax \u0E08\u0E30\u0E40\u0E1E\u0E34\u0E48\u0E21\u0E40\u0E21\u0E19\u0E39\u0E01\u0E33\u0E01\u0E31\u0E1A\u0E41\u0E15\u0E48\u0E25\u0E30\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E44\u0E27\u0E49 \u0E0B\u0E36\u0E48\u0E07\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E25\u0E34\u0E01\u0E02\u0E27\u0E32\u0E17\u0E35\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E43\u0E14 \u0E46 \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E02\u0E49\u0E32\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E44\u0E14\u0E49",ShowMath:"*\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E39\u0E1B* \u0E40\u0E1B\u0E47\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E0B\u0E36\u0E48\u0E07\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E2D\u0E48\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E15\u0E49\u0E19\u0E09\u0E1A\u0E31\u0E1A\u0E02\u0E2D\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E19\u0E31\u0E49\u0E19\u0E2B\u0E23\u0E37\u0E2D\u0E04\u0E31\u0E14\u0E25\u0E2D\u0E01\u0E44\u0E1B\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 (\u0E40\u0E0A\u0E48\u0E19 MathML \u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E40\u0E14\u0E34\u0E21\u0E02\u0E2D\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E19\u0E31\u0E49\u0E19)",Settings:"*\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32* \u0E17\u0E33\u0E43\u0E2B\u0E49\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E15\u0E48\u0E32\u0E07 \u0E46 \u0E02\u0E2D\u0E07 MathJax \u0E2D\u0E32\u0E17\u0E34 \u0E02\u0E19\u0E32\u0E14\u0E2A\u0E21\u0E01\u0E32\u0E23 \u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E01\u0E32\u0E23\u0E17\u0E35\u0E48\u0E43\u0E0A\u0E49\u0E43\u0E19\u0E01\u0E32\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23",Language:"*\u0E20\u0E32\u0E29\u0E32* \u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E20\u0E32\u0E29\u0E32\u0E17\u0E35\u0E48 MathJax \u0E41\u0E2A\u0E14\u0E07\u0E43\u0E19\u0E40\u0E21\u0E19\u0E39\u0E41\u0E25\u0E30\u0E04\u0E33\u0E40\u0E15\u0E37\u0E2D\u0E19\u0E15\u0E48\u0E32\u0E07 \u0E46 \u0E44\u0E14\u0E49",Zoom:"*\u0E0B\u0E39\u0E21\u0E2A\u0E21\u0E01\u0E32\u0E23*: \u0E16\u0E49\u0E32\u0E17\u0E48\u0E32\u0E19\u0E21\u0E35\u0E1B\u0E31\u0E0D\u0E2B\u0E32\u0E43\u0E19\u0E01\u0E32\u0E23\u0E2D\u0E48\u0E32\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E17\u0E35\u0E48\u0E21\u0E35\u0E15\u0E31\u0E27\u0E2B\u0E19\u0E31\u0E07\u0E2A\u0E37\u0E2D\u0E40\u0E25\u0E47\u0E01 MathJax \u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E02\u0E22\u0E32\u0E22\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E19\u0E31\u0E49\u0E19\u0E43\u0E2B\u0E49\u0E43\u0E2B\u0E0D\u0E48\u0E21\u0E2D\u0E07\u0E40\u0E2B\u0E47\u0E19\u0E07\u0E48\u0E32\u0E22\u0E02\u0E36\u0E49\u0E19",Accessibilty:"*\u0E04\u0E27\u0E32\u0E21\u0E40\u0E02\u0E49\u0E32\u0E16\u0E36\u0E07\u0E44\u0E14\u0E49*: MathJax \u0E08\u0E30\u0E17\u0E33\u0E07\u0E32\u0E19\u0E01\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E2D\u0E48\u0E32\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E08\u0E2D\u0E42\u0E14\u0E22\u0E2D\u0E31\u0E15\u0E42\u0E19\u0E21\u0E31\u0E15\u0E34 \u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E2D\u0E48\u0E32\u0E19\u0E44\u0E14\u0E49\u0E07\u0E48\u0E32\u0E22 \u0E42\u0E14\u0E22\u0E40\u0E09\u0E1E\u0E32\u0E30\u0E1C\u0E39\u0E49\u0E21\u0E35\u0E1B\u0E31\u0E0D\u0E2B\u0E32\u0E17\u0E32\u0E07\u0E2A\u0E32\u0E22\u0E15\u0E32",Fonts:"*\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23*: MathJax \u0E08\u0E30\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E17\u0E35\u0E48\u0E21\u0E35\u0E1A\u0E19\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E41\u0E25\u0E49\u0E27 \u0E2B\u0E23\u0E37\u0E2D\u0E16\u0E49\u0E32\u0E44\u0E21\u0E48\u0E21\u0E35\u0E08\u0E30\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A \u0E2D\u0E22\u0E48\u0E32\u0E07\u0E44\u0E23\u0E01\u0E47\u0E15\u0E32\u0E21\u0E16\u0E49\u0E32\u0E21\u0E35\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E44\u0E27\u0E49\u0E1A\u0E19\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07 \u0E01\u0E32\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E08\u0E30\u0E23\u0E27\u0E14\u0E40\u0E23\u0E47\u0E27 \u0E40\u0E23\u0E32\u0E02\u0E2D\u0E41\u0E19\u0E30\u0E19\u0E33\u0E43\u0E2B\u0E49\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX](%1)",CloseDialog:"\u0E1B\u0E34\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E15\u0E48\u0E32\u0E07\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/HelpDialog.js");
+MathJax.Localization.addTranslation("th","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"\u0E04\u0E27\u0E32\u0E21\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D\u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax",MathJax:"*MathJax* \u0E40\u0E1B\u0E47\u0E19\u0E04\u0E25\u0E31\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E08\u0E32\u0E27\u0E32\u0E2A\u0E04\u0E23\u0E34\u0E1B\u0E15\u0E4C\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E43\u0E2B\u0E49\u0E1C\u0E39\u0E49\u0E17\u0E33\u0E40\u0E27\u0E47\u0E1A\u0E43\u0E2A\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E44\u0E27\u0E49\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E02\u0E2D\u0E07\u0E15\u0E19\u0E44\u0E14\u0E49 \u0E42\u0E14\u0E22\u0E17\u0E48\u0E32\u0E19\u0E43\u0E19\u0E10\u0E32\u0E19\u0E30\u0E1C\u0E39\u0E49\u0E2D\u0E48\u0E32\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E44\u0E21\u0E48\u0E08\u0E33\u0E15\u0E49\u0E2D\u0E07\u0E17\u0E33\u0E2A\u0E34\u0E48\u0E07\u0E2D\u0E37\u0E48\u0E19\u0E43\u0E14\u0E40\u0E25\u0E22",Browsers:"*\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C*: MathJax \u0E17\u0E33\u0E07\u0E32\u0E19\u0E23\u0E48\u0E27\u0E21\u0E01\u0E31\u0E1A\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E23\u0E38\u0E48\u0E19\u0E43\u0E2B\u0E21\u0E48 \u0E46 \u0E44\u0E14\u0E49 \u0E2D\u0E32\u0E17\u0E34 IE6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0E41\u0E25\u0E30\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E42\u0E17\u0E23\u0E28\u0E31\u0E1E\u0E17\u0E4C\u0E21\u0E37\u0E2D\u0E16\u0E37\u0E2D\u0E2A\u0E48\u0E27\u0E19\u0E43\u0E2B\u0E0D\u0E48",Menu:"*\u0E40\u0E21\u0E19\u0E39\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C*: MathJax \u0E08\u0E30\u0E40\u0E1E\u0E34\u0E48\u0E21\u0E40\u0E21\u0E19\u0E39\u0E01\u0E33\u0E01\u0E31\u0E1A\u0E41\u0E15\u0E48\u0E25\u0E30\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E44\u0E27\u0E49 \u0E0B\u0E36\u0E48\u0E07\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E25\u0E34\u0E01\u0E02\u0E27\u0E32\u0E17\u0E35\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E43\u0E14 \u0E46 \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E02\u0E49\u0E32\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E44\u0E14\u0E49",ShowMath:"*\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E39\u0E1B* \u0E40\u0E1B\u0E47\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E0B\u0E36\u0E48\u0E07\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E2D\u0E48\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E15\u0E49\u0E19\u0E09\u0E1A\u0E31\u0E1A\u0E02\u0E2D\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E19\u0E31\u0E49\u0E19\u0E2B\u0E23\u0E37\u0E2D\u0E04\u0E31\u0E14\u0E25\u0E2D\u0E01\u0E44\u0E1B\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 (\u0E40\u0E0A\u0E48\u0E19 MathML \u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E40\u0E14\u0E34\u0E21\u0E02\u0E2D\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E19\u0E31\u0E49\u0E19)",Settings:"*\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32* \u0E17\u0E33\u0E43\u0E2B\u0E49\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E15\u0E48\u0E32\u0E07 \u0E46 \u0E02\u0E2D\u0E07 MathJax \u0E2D\u0E32\u0E17\u0E34 \u0E02\u0E19\u0E32\u0E14\u0E2A\u0E21\u0E01\u0E32\u0E23 \u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E01\u0E32\u0E23\u0E17\u0E35\u0E48\u0E43\u0E0A\u0E49\u0E43\u0E19\u0E01\u0E32\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23",Language:"*\u0E20\u0E32\u0E29\u0E32* \u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E20\u0E32\u0E29\u0E32\u0E17\u0E35\u0E48 MathJax \u0E41\u0E2A\u0E14\u0E07\u0E43\u0E19\u0E40\u0E21\u0E19\u0E39\u0E41\u0E25\u0E30\u0E04\u0E33\u0E40\u0E15\u0E37\u0E2D\u0E19\u0E15\u0E48\u0E32\u0E07 \u0E46 \u0E44\u0E14\u0E49",Zoom:"*\u0E0B\u0E39\u0E21\u0E2A\u0E21\u0E01\u0E32\u0E23*: \u0E16\u0E49\u0E32\u0E17\u0E48\u0E32\u0E19\u0E21\u0E35\u0E1B\u0E31\u0E0D\u0E2B\u0E32\u0E43\u0E19\u0E01\u0E32\u0E23\u0E2D\u0E48\u0E32\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E17\u0E35\u0E48\u0E21\u0E35\u0E15\u0E31\u0E27\u0E2B\u0E19\u0E31\u0E07\u0E2A\u0E37\u0E2D\u0E40\u0E25\u0E47\u0E01 MathJax \u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E02\u0E22\u0E32\u0E22\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E19\u0E31\u0E49\u0E19\u0E43\u0E2B\u0E49\u0E43\u0E2B\u0E0D\u0E48\u0E21\u0E2D\u0E07\u0E40\u0E2B\u0E47\u0E19\u0E07\u0E48\u0E32\u0E22\u0E02\u0E36\u0E49\u0E19",Accessibilty:"*\u0E04\u0E27\u0E32\u0E21\u0E40\u0E02\u0E49\u0E32\u0E16\u0E36\u0E07\u0E44\u0E14\u0E49*: MathJax \u0E08\u0E30\u0E17\u0E33\u0E07\u0E32\u0E19\u0E01\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E2D\u0E48\u0E32\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E08\u0E2D\u0E42\u0E14\u0E22\u0E2D\u0E31\u0E15\u0E42\u0E19\u0E21\u0E31\u0E15\u0E34 \u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E2D\u0E48\u0E32\u0E19\u0E44\u0E14\u0E49\u0E07\u0E48\u0E32\u0E22 \u0E42\u0E14\u0E22\u0E40\u0E09\u0E1E\u0E32\u0E30\u0E1C\u0E39\u0E49\u0E21\u0E35\u0E1B\u0E31\u0E0D\u0E2B\u0E32\u0E17\u0E32\u0E07\u0E2A\u0E32\u0E22\u0E15\u0E32",Fonts:"*\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23*: MathJax \u0E08\u0E30\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E17\u0E35\u0E48\u0E21\u0E35\u0E1A\u0E19\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E41\u0E25\u0E49\u0E27 \u0E2B\u0E23\u0E37\u0E2D\u0E16\u0E49\u0E32\u0E44\u0E21\u0E48\u0E21\u0E35\u0E08\u0E30\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A \u0E2D\u0E22\u0E48\u0E32\u0E07\u0E44\u0E23\u0E01\u0E47\u0E15\u0E32\u0E21\u0E16\u0E49\u0E32\u0E21\u0E35\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E44\u0E27\u0E49\u0E1A\u0E19\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07 \u0E01\u0E32\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E08\u0E30\u0E23\u0E27\u0E14\u0E40\u0E23\u0E47\u0E27 \u0E40\u0E23\u0E32\u0E02\u0E2D\u0E41\u0E19\u0E30\u0E19\u0E33\u0E43\u0E2B\u0E49\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07[\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX](%1)",CloseDialog:"\u0E1B\u0E34\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E15\u0E48\u0E32\u0E07\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/HelpDialog.js");
diff --git a/localization/th/MathML.js b/localization/th/MathML.js
index a7e13cf685..acab508208 100644
--- a/localization/th/MathML.js
+++ b/localization/th/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/th/MathML.js
+ *  /MathJax-v2/localization/th/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("th","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"mglyph \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",BadMglyphFont:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",MathPlayer:"MathJax \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32 MathPlayer \u0E44\u0E14\u0E49\n\n\u0E16\u0E49\u0E32\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07 MathPlayer \u0E02\u0E2D\u0E43\u0E2B\u0E49\u0E14\u0E33\u0E40\u0E19\u0E34\u0E19\u0E01\u0E32\u0E23\u0E01\u0E48\u0E2D\u0E19\n\u0E21\u0E34\u0E09\u0E30\u0E19\u0E31\u0E49\u0E19\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E04\u0E27\u0E32\u0E21\u0E1B\u0E25\u0E2D\u0E14\u0E20\u0E31\u0E22\u0E08\u0E30\u0E01\u0E35\u0E14\u0E01\u0E31\u0E19\u0E21\u0E34\u0E43\u0E2B\u0E49\u0E15\u0E31\u0E27\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21 ActiveX\n\u0E17\u0E33\u0E07\u0E32\u0E19\u0E44\u0E14\u0E49 \u0E40\u0E02\u0E49\u0E32\u0E44\u0E1B\u0E17\u0E35\u0E48\u0E40\u0E21\u0E19\u0E39 Tools \u0E41\u0E25\u0E49\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01 Internet Options \u0E08\u0E32\u0E01\u0E19\u0E31\u0E49\u0E19\u0E40\u0E25\u0E37\u0E2D\u0E01\n\u0E41\u0E17\u0E47\u0E1A Security \u0E41\u0E25\u0E49\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01 Custom Level \u0E01\u0E48\u0E2D\u0E19\u0E08\u0E30\u0E17\u0E33\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2B\u0E21\u0E32\u0E22\u0E16\u0E39\u0E01\u0E17\u0E35\u0E48\n'Run ActiveX Controls' \u0E41\u0E25\u0E30 'Binary and script behaviors'\n\n\u0E13 \u0E02\u0E13\u0E30\u0E19\u0E35\u0E49\u0E17\u0E48\u0E32\u0E19\u0E08\u0E30\u0E40\u0E2B\u0E47\u0E19\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14\u0E41\u0E17\u0E19\u0E17\u0E35\u0E48\u0E08\u0E30\u0E40\u0E1B\u0E47\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C",CantCreateXMLParser:"MathJax \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E15\u0E31\u0E27\u0E41\u0E1A\u0E48\u0E07\u0E41\u0E25\u0E30\u0E2D\u0E48\u0E32\u0E19 XML \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E43\u0E0A\u0E49\u0E43\u0E19 MathML \u0E42\u0E1B\u0E23\u0E14\u0E15\u0E23\u0E27\u0E08\u0E2A\u0E2D\u0E1A\u0E27\u0E48\u0E32\n\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E04\u0E27\u0E32\u0E21\u0E1B\u0E25\u0E2D\u0E14\u0E20\u0E31\u0E22 'Script ActiveX controls marked safe for scripting'\n\u0E16\u0E39\u0E01\u0E40\u0E1B\u0E34\u0E14\u0E2D\u0E22\u0E39\u0E48 (\u0E40\u0E02\u0E49\u0E32\u0E44\u0E1B\u0E17\u0E35\u0E48\u0E40\u0E21\u0E19\u0E39 Tools \u0E40\u0E25\u0E37\u0E2D\u0E01 Internet Options \u0E08\u0E32\u0E01\u0E19\u0E31\u0E49\u0E19\u0E44\u0E1B\u0E17\u0E35\u0E48\u0E41\u0E17\u0E47\u0E1A Security \n\u0E41\u0E25\u0E49\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01 Custom Level \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E14\u0E33\u0E40\u0E19\u0E34\u0E19\u0E01\u0E32\u0E23\u0E15\u0E48\u0E2D\u0E44\u0E1B).\n\n\u0E2A\u0E21\u0E01\u0E32\u0E23 MathML \u0E08\u0E30\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E16\u0E39\u0E01\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E44\u0E14\u0E49\u0E42\u0E14\u0E22 MathJax",UnknownNodeType:"\u0E0A\u0E19\u0E34\u0E14\u0E42\u0E2B\u0E19\u0E14\u0E44\u0E21\u0E48\u0E17\u0E23\u0E32\u0E1A: %1",UnexpectedTextNode:"\u0E42\u0E2B\u0E19\u0E14\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E17\u0E35\u0E48\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E31\u0E01: %1",ErrorParsingMathML:"\u0E01\u0E32\u0E23\u0E41\u0E1A\u0E48\u0E07\u0E15\u0E2D\u0E19\u0E41\u0E25\u0E30\u0E2D\u0E48\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 (parsing) MathML \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",ParsingError:"\u0E01\u0E32\u0E23\u0E41\u0E1A\u0E48\u0E07\u0E15\u0E2D\u0E19\u0E41\u0E25\u0E30\u0E2D\u0E48\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 MathML: %1 \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",MathMLSingleElement:"MathML \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E20\u0E32\u0E22\u0E43\u0E15\u0E49 \u003Cmath\u003E \u0E40\u0E1E\u0E35\u0E22\u0E07\u0E2D\u0E31\u0E19\u0E40\u0E14\u0E35\u0E22\u0E27\u0E08\u0E30\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49",MathMLRootElement:"MathML \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E20\u0E32\u0E22\u0E43\u0E15\u0E49 \u003Cmath\u003E \u0E44\u0E21\u0E48\u0E43\u0E0A\u0E48 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/MathML.js");
+MathJax.Localization.addTranslation("th","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"mglyph \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",BadMglyphFont:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",MathPlayer:"MathJax \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32 MathPlayer \u0E44\u0E14\u0E49\n\n\u0E16\u0E49\u0E32\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07 MathPlayer \u0E02\u0E2D\u0E43\u0E2B\u0E49\u0E14\u0E33\u0E40\u0E19\u0E34\u0E19\u0E01\u0E32\u0E23\u0E01\u0E48\u0E2D\u0E19\n\u0E21\u0E34\u0E09\u0E30\u0E19\u0E31\u0E49\u0E19\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E04\u0E27\u0E32\u0E21\u0E1B\u0E25\u0E2D\u0E14\u0E20\u0E31\u0E22\u0E08\u0E30\u0E01\u0E35\u0E14\u0E01\u0E31\u0E19\u0E21\u0E34\u0E43\u0E2B\u0E49\u0E15\u0E31\u0E27\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21 ActiveX\n\u0E17\u0E33\u0E07\u0E32\u0E19\u0E44\u0E14\u0E49 \u0E40\u0E02\u0E49\u0E32\u0E44\u0E1B\u0E17\u0E35\u0E48\u0E40\u0E21\u0E19\u0E39 Tools \u0E41\u0E25\u0E49\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01 Internet Options \u0E08\u0E32\u0E01\u0E19\u0E31\u0E49\u0E19\u0E40\u0E25\u0E37\u0E2D\u0E01\n\u0E41\u0E17\u0E47\u0E1A Security \u0E41\u0E25\u0E49\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01 Custom Level \u0E01\u0E48\u0E2D\u0E19\u0E08\u0E30\u0E17\u0E33\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2B\u0E21\u0E32\u0E22\u0E16\u0E39\u0E01\u0E17\u0E35\u0E48\n'Run ActiveX Controls' \u0E41\u0E25\u0E30 'Binary and script behaviors'\n\n\u0E13 \u0E02\u0E13\u0E30\u0E19\u0E35\u0E49\u0E17\u0E48\u0E32\u0E19\u0E08\u0E30\u0E40\u0E2B\u0E47\u0E19\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14\u0E41\u0E17\u0E19\u0E17\u0E35\u0E48\u0E08\u0E30\u0E40\u0E1B\u0E47\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C",CantCreateXMLParser:"MathJax \u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E15\u0E31\u0E27\u0E41\u0E1A\u0E48\u0E07\u0E41\u0E25\u0E30\u0E2D\u0E48\u0E32\u0E19 XML \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E43\u0E0A\u0E49\u0E43\u0E19 MathML \u0E42\u0E1B\u0E23\u0E14\u0E15\u0E23\u0E27\u0E08\u0E2A\u0E2D\u0E1A\u0E27\u0E48\u0E32\n\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E04\u0E27\u0E32\u0E21\u0E1B\u0E25\u0E2D\u0E14\u0E20\u0E31\u0E22 'Script ActiveX controls marked safe for scripting'\n\u0E16\u0E39\u0E01\u0E40\u0E1B\u0E34\u0E14\u0E2D\u0E22\u0E39\u0E48 (\u0E40\u0E02\u0E49\u0E32\u0E44\u0E1B\u0E17\u0E35\u0E48\u0E40\u0E21\u0E19\u0E39 Tools \u0E40\u0E25\u0E37\u0E2D\u0E01 Internet Options \u0E08\u0E32\u0E01\u0E19\u0E31\u0E49\u0E19\u0E44\u0E1B\u0E17\u0E35\u0E48\u0E41\u0E17\u0E47\u0E1A Security \n\u0E41\u0E25\u0E49\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01 Custom Level \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E14\u0E33\u0E40\u0E19\u0E34\u0E19\u0E01\u0E32\u0E23\u0E15\u0E48\u0E2D\u0E44\u0E1B).\n\n\u0E2A\u0E21\u0E01\u0E32\u0E23 MathML \u0E08\u0E30\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E16\u0E39\u0E01\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E44\u0E14\u0E49\u0E42\u0E14\u0E22 MathJax",UnknownNodeType:"\u0E0A\u0E19\u0E34\u0E14\u0E42\u0E2B\u0E19\u0E14\u0E44\u0E21\u0E48\u0E17\u0E23\u0E32\u0E1A: %1",UnexpectedTextNode:"\u0E42\u0E2B\u0E19\u0E14\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E17\u0E35\u0E48\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E31\u0E01: %1",ErrorParsingMathML:"\u0E01\u0E32\u0E23\u0E41\u0E1A\u0E48\u0E07\u0E15\u0E2D\u0E19\u0E41\u0E25\u0E30\u0E2D\u0E48\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 (parsing) MathML \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",ParsingError:"\u0E01\u0E32\u0E23\u0E41\u0E1A\u0E48\u0E07\u0E15\u0E2D\u0E19\u0E41\u0E25\u0E30\u0E2D\u0E48\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 MathML: %1 \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",MathMLSingleElement:"MathML \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E20\u0E32\u0E22\u0E43\u0E15\u0E49 \u003Cmath\u003E \u0E40\u0E1E\u0E35\u0E22\u0E07\u0E2D\u0E31\u0E19\u0E40\u0E14\u0E35\u0E22\u0E27\u0E08\u0E30\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49",MathMLRootElement:"MathML \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E20\u0E32\u0E22\u0E43\u0E15\u0E49 \u003Cmath\u003E \u0E44\u0E21\u0E48\u0E43\u0E0A\u0E48 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/MathML.js");
diff --git a/localization/th/MathMenu.js b/localization/th/MathMenu.js
index 53cb5a4d5f..d242ef5469 100644
--- a/localization/th/MathMenu.js
+++ b/localization/th/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/th/MathMenu.js
+ *  /MathJax-v2/localization/th/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("th","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E39\u0E1B",MathMLcode:"\u0E23\u0E2B\u0E31\u0E2A MathML",OriginalMathML:"MathML \u0E14\u0E31\u0E49\u0E07\u0E40\u0E14\u0E34\u0E21",TeXCommands:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 TeX",AsciiMathInput:"\u0E2D\u0E34\u0E19\u0E1E\u0E38\u0E15 AsciiMathML",Original:"\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E40\u0E14\u0E34\u0E21",ErrorMessage:"\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",Annotation:"\u0E04\u0E33\u0E2D\u0E18\u0E34\u0E1A\u0E32\u0E22\u0E01\u0E33\u0E01\u0E31\u0E1A",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0E40\u0E19\u0E37\u0E49\u0E2D\u0E2B\u0E32 MathML",OpenMath:"OpenMath",texHints:"\u0E41\u0E2A\u0E14\u0E07\u0E04\u0E33\u0E41\u0E19\u0E30\u0E19\u0E33 TeX \u0E43\u0E19 MathML",Settings:"\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C",ZoomTrigger:"\u0E01\u0E32\u0E23\u0E40\u0E23\u0E34\u0E48\u0E21\u0E15\u0E49\u0E19\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22",Hover:"\u0E25\u0E32\u0E01\u0E40\u0E21\u0E32\u0E2A\u0E4C\u0E04\u0E49\u0E32\u0E07",Click:"\u0E04\u0E25\u0E34\u0E01",DoubleClick:"\u0E04\u0E25\u0E34\u0E01\u0E2A\u0E2D\u0E07\u0E04\u0E23\u0E31\u0E49\u0E07",NoZoom:"\u0E02\u0E19\u0E32\u0E14\u0E40\u0E14\u0E34\u0E21",TriggerRequires:"\u0E01\u0E32\u0E23\u0E40\u0E23\u0E34\u0E48\u0E21\u0E15\u0E49\u0E19\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22\u0E15\u0E49\u0E2D\u0E07\u0E21\u0E35:",Option:"\u0E15\u0E31\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22",Renderer:"\u0E15\u0E31\u0E27\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C",MPHandles:"\u0E43\u0E2B\u0E49 MathPlayer \u0E08\u0E31\u0E14\u0E01\u0E32\u0E23\u0E2A\u0E34\u0E48\u0E07\u0E15\u0E48\u0E2D\u0E44\u0E1B\u0E19\u0E35\u0E49:",MenuEvents:"\u0E40\u0E2B\u0E15\u0E38\u0E01\u0E32\u0E23\u0E13\u0E4C\u0E40\u0E21\u0E19\u0E39",MouseEvents:"\u0E40\u0E2B\u0E15\u0E38\u0E01\u0E32\u0E23\u0E13\u0E4C\u0E40\u0E21\u0E32\u0E2A\u0E4C",MenuAndMouse:"\u0E40\u0E2B\u0E15\u0E38\u0E01\u0E32\u0E23\u0E13\u0E4C\u0E40\u0E21\u0E32\u0E2A\u0E4C\u0E41\u0E25\u0E30\u0E40\u0E21\u0E19\u0E39",FontPrefs:"\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23",ForHTMLCSS:"\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A HTML-CSS:",Auto:"\u0E2D\u0E31\u0E15\u0E42\u0E19\u0E21\u0E31\u0E15\u0E34",TeXLocal:"TeX (\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A)",TeXWeb:"TeX (\u0E40\u0E27\u0E47\u0E1A)",TeXImage:"TeX (\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E)",STIXLocal:"STIX (\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A)",STIXWeb:"STIX (\u0E40\u0E27\u0E47\u0E1A)",AsanaMathWeb:"Asana Math (\u0E40\u0E27\u0E47\u0E1A)",GyrePagellaWeb:"Gyre Pagella (\u0E40\u0E27\u0E47\u0E1A)",GyreTermesWeb:"Gyre Termes (\u0E40\u0E27\u0E47\u0E1A)",LatinModernWeb:"Latin Modern (\u0E40\u0E27\u0E47\u0E1A)",NeoEulerWeb:"Neo Euler (\u0E40\u0E27\u0E47\u0E1A)",ContextMenu:"\u0E40\u0E21\u0E19\u0E39\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E04\u0E25\u0E34\u0E01\u0E02\u0E27\u0E32",Browser:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C",Scale:"\u0E1B\u0E23\u0E31\u0E1A\u0E02\u0E19\u0E32\u0E14\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14 ...",Discoverable:"\u0E40\u0E19\u0E49\u0E19\u0E2A\u0E35\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E0A\u0E35\u0E49\u0E40\u0E21\u0E32\u0E2A\u0E4C\u0E04\u0E49\u0E32\u0E07\u0E44\u0E27\u0E49",Locale:"\u0E20\u0E32\u0E29\u0E32",LoadLocale:"\u0E42\u0E2B\u0E25\u0E14\u0E08\u0E32\u0E01\u0E17\u0E35\u0E48\u0E2D\u0E22\u0E39\u0E48 URL ...",About:"\u0E40\u0E01\u0E35\u0E48\u0E22\u0E27\u0E01\u0E31\u0E1A MathJax",Help:"\u0E04\u0E27\u0E32\u0E21\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D\u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax",localTeXfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 TeX \u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A",webTeXfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 TeX \u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A",imagefonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E",localSTIXfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX \u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A",webSVGfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 SVG \u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A",genericfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E22\u0E39\u0E19\u0E34\u0E42\u0E04\u0E49\u0E14\u0E17\u0E31\u0E48\u0E27\u0E44\u0E1B",wofforotffonts:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 WOFF \u0E2B\u0E23\u0E37\u0E2D OTF",eotffonts:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 EOT",svgfonts:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 SVG",WebkitNativeMMLWarning:"\u0E14\u0E39\u0E40\u0E2B\u0E21\u0E37\u0E2D\u0E19\u0E27\u0E48\u0E32\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E23\u0E2D\u0E07\u0E23\u0E31\u0E1A MathML \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19 \u0E01\u0E32\u0E23\u0E1B\u0E23\u0E31\u0E1A\u0E44\u0E1B\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25 MathML \u0E2D\u0E32\u0E08\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E2D\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E2D\u0E2D\u0E01",MSIENativeMMLWarning:"Internet Explorer \u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E1B\u0E25\u0E31\u0E4A\u0E01\u0E2D\u0E34\u0E19 MathPlayer \u0E43\u0E19\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E01\u0E32\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25 MathML",OperaNativeMMLWarning:"\u0E01\u0E32\u0E23\u0E2A\u0E19\u0E31\u0E1A\u0E2A\u0E19\u0E38\u0E19 MathML \u0E43\u0E19 Opera's \u0E21\u0E35\u0E08\u0E33\u0E01\u0E31\u0E14 \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E31\u0E1A\u0E44\u0E1B\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25 MathML \u0E2D\u0E32\u0E08\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E1A\u0E32\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E44\u0E21\u0E48\u0E04\u0E21\u0E0A\u0E31\u0E14",SafariNativeMMLWarning:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E14\u0E49\u0E27\u0E22 MathML \u0E41\u0E15\u0E48\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E38\u0E13\u0E2A\u0E21\u0E1A\u0E31\u0E15\u0E34\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14\u0E17\u0E35\u0E48 MathJax \u0E43\u0E0A\u0E49\u0E44\u0E14\u0E49 \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E1A\u0E32\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E2D\u0E32\u0E08\u0E44\u0E21\u0E48\u0E04\u0E21\u0E0A\u0E31\u0E14",FirefoxNativeMMLWarning:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E14\u0E49\u0E27\u0E22 MathML \u0E41\u0E15\u0E48\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E38\u0E13\u0E2A\u0E21\u0E1A\u0E31\u0E15\u0E34\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14\u0E17\u0E35\u0E48 MathJax \u0E43\u0E0A\u0E49\u0E44\u0E14\u0E49 \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E1A\u0E32\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E2D\u0E32\u0E08\u0E44\u0E21\u0E48\u0E04\u0E21\u0E0A\u0E31\u0E14",MSIESVGWarning:"SVG \u0E44\u0E21\u0E48\u0E21\u0E35\u0E43\u0E19 Internet Explorer \u0E23\u0E38\u0E48\u0E19\u0E01\u0E48\u0E2D\u0E19\u0E2B\u0E19\u0E49\u0E32 IE9 \u0E2B\u0E23\u0E37\u0E2D\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E34\u0E14\u0E42\u0E2B\u0E21\u0E14\u0E04\u0E27\u0E32\u0E21\u0E40\u0E02\u0E49\u0E32\u0E01\u0E31\u0E19\u0E44\u0E14\u0E49\u0E01\u0E31\u0E1A IE8 \u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E38\u0E48\u0E19\u0E01\u0E48\u0E2D\u0E19\u0E2B\u0E19\u0E49\u0E32 \u0E01\u0E32\u0E23\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E44\u0E1B\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E40\u0E1B\u0E47\u0E19 SVG \u0E08\u0E30\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E41\u0E2A\u0E14\u0E07\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07\u0E2B\u0E23\u0E37\u0E2D\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19",LoadURL:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E01\u0E32\u0E23\u0E41\u0E1B\u0E25\u0E08\u0E32\u0E01\u0E25\u0E34\u0E07\u0E01\u0E4C\u0E15\u0E48\u0E2D\u0E44\u0E1B\u0E19\u0E35\u0E49:",BadURL:"\u0E25\u0E34\u0E07\u0E01\u0E4C\u0E04\u0E27\u0E23\u0E08\u0E30\u0E40\u0E1B\u0E47\u0E19\u0E41\u0E1F\u0E49\u0E21\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E08\u0E32\u0E27\u0E32\u0E2A\u0E04\u0E23\u0E34\u0E1B\u0E15\u0E4C\u0E0B\u0E36\u0E48\u0E07\u0E23\u0E30\u0E1A\u0E38\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E01\u0E32\u0E23\u0E41\u0E1B\u0E25 MathJax \u0E17\u0E31\u0E49\u0E07\u0E19\u0E35\u0E49\u0E41\u0E1F\u0E49\u0E21\u0E08\u0E32\u0E27\u0E32\u0E2A\u0E04\u0E23\u0E34\u0E1B\u0E15\u0E4C\u0E04\u0E27\u0E23\u0E08\u0E30\u0E25\u0E07\u0E17\u0E49\u0E32\u0E22\u0E14\u0E49\u0E27\u0E22 '.js'",BadData:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E01\u0E32\u0E23\u0E41\u0E1B\u0E25\u0E08\u0E32\u0E01 %1",SwitchAnyway:"\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E15\u0E31\u0E27\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E20\u0E32\u0E1E/\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E40\u0E14\u0E35\u0E4B\u0E22\u0E27\u0E19\u0E35\u0E49\u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48\n\n(\u0E01\u0E14 \u0E15\u0E01\u0E25\u0E07 \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19 \u0E2B\u0E23\u0E37\u0E2D\u0E22\u0E01\u0E40\u0E25\u0E34\u0E01 \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E43\u0E0A\u0E49\u0E15\u0E31\u0E27\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E15\u0E31\u0E27\u0E40\u0E14\u0E34\u0E21)",ScaleMath:"\u0E1B\u0E23\u0E31\u0E1A\u0E02\u0E19\u0E32\u0E14\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14 (\u0E40\u0E17\u0E35\u0E22\u0E1A\u0E01\u0E31\u0E1A\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E02\u0E49\u0E32\u0E07\u0E40\u0E04\u0E35\u0E22\u0E07) \u0E42\u0E14\u0E22\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19",NonZeroScale:"\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19\u0E44\u0E21\u0E48\u0E04\u0E27\u0E23\u0E40\u0E1B\u0E47\u0E19\u0E28\u0E39\u0E19\u0E22\u0E4C",PercentScale:"\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19\u0E04\u0E27\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E23\u0E49\u0E2D\u0E22\u0E25\u0E30 (\u0E40\u0E0A\u0E48\u0E19 120%%)",IE8warning:"\u0E01\u0E32\u0E23\u0E01\u0E23\u0E30\u0E17\u0E33\u0E19\u0E35\u0E49\u0E08\u0E30\u0E1B\u0E34\u0E14\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E40\u0E21\u0E19\u0E39 MathJax \u0E23\u0E27\u0E21\u0E16\u0E36\u0E07\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22\u0E2A\u0E21\u0E01\u0E32\u0E23 \u0E41\u0E15\u0E48\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E01\u0E14\u0E1B\u0E38\u0E48\u0E21 Alt \u0E41\u0E25\u0E49\u0E27\u0E04\u0E25\u0E34\u0E01\u0E17\u0E35\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E21\u0E19\u0E39\u0E44\u0E14\u0E49\n\n\u0E17\u0E48\u0E32\u0E19\u0E15\u0E49\u0E2D\u0E07\u0E01\u0E32\u0E23\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32 MathPlayer \u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48?",IE9warning:"\u0E40\u0E21\u0E19\u0E39\u0E01\u0E33\u0E01\u0E31\u0E1A\u0E2A\u0E21\u0E01\u0E32\u0E23 MathJax \u0E08\u0E30\u0E16\u0E39\u0E01\u0E1B\u0E34\u0E14\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 \u0E41\u0E15\u0E48\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E01\u0E14\u0E1B\u0E38\u0E48\u0E21 Alt \u0E41\u0E25\u0E49\u0E27\u0E04\u0E25\u0E34\u0E01\u0E17\u0E35\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E21\u0E19\u0E39\u0E41\u0E17\u0E19\u0E44\u0E14\u0E49",NoOriginalForm:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E14\u0E31\u0E49\u0E07\u0E40\u0E14\u0E34\u0E21",Close:"\u0E1B\u0E34\u0E14",EqSource:"\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E15\u0E49\u0E19\u0E09\u0E1A\u0E31\u0E1A MathJax",CloseAboutDialog:"\u0E1B\u0E34\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E15\u0E48\u0E32\u0E07\u0E40\u0E01\u0E35\u0E48\u0E22\u0E27\u0E01\u0E31\u0E1A MathJax",FastPreview:"\u0E41\u0E2A\u0E14\u0E07\u0E15\u0E31\u0E27\u0E2D\u0E22\u0E48\u0E32\u0E07\u0E40\u0E23\u0E48\u0E07\u0E14\u0E48\u0E27\u0E19",AssistiveMML:"MathML \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E01\u0E32\u0E23\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D",InTabOrder:"\u0E23\u0E27\u0E21\u0E44\u0E27\u0E49\u0E43\u0E19\u0E25\u0E33\u0E14\u0E31\u0E1A\u0E41\u0E17\u0E47\u0E1A"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/MathMenu.js");
+MathJax.Localization.addTranslation("th","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E39\u0E1B",MathMLcode:"\u0E23\u0E2B\u0E31\u0E2A MathML",OriginalMathML:"MathML \u0E14\u0E31\u0E49\u0E07\u0E40\u0E14\u0E34\u0E21",TeXCommands:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 TeX",AsciiMathInput:"\u0E2D\u0E34\u0E19\u0E1E\u0E38\u0E15 AsciiMathML",Original:"\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E40\u0E14\u0E34\u0E21",ErrorMessage:"\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",Annotation:"\u0E04\u0E33\u0E2D\u0E18\u0E34\u0E1A\u0E32\u0E22\u0E01\u0E33\u0E01\u0E31\u0E1A",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0E40\u0E19\u0E37\u0E49\u0E2D\u0E2B\u0E32 MathML",OpenMath:"OpenMath",texHints:"\u0E41\u0E2A\u0E14\u0E07\u0E04\u0E33\u0E41\u0E19\u0E30\u0E19\u0E33 TeX \u0E43\u0E19 MathML",Settings:"\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C",ZoomTrigger:"\u0E01\u0E32\u0E23\u0E40\u0E23\u0E34\u0E48\u0E21\u0E15\u0E49\u0E19\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22",Hover:"\u0E25\u0E32\u0E01\u0E40\u0E21\u0E32\u0E2A\u0E4C\u0E04\u0E49\u0E32\u0E07",Click:"\u0E04\u0E25\u0E34\u0E01",DoubleClick:"\u0E04\u0E25\u0E34\u0E01\u0E2A\u0E2D\u0E07\u0E04\u0E23\u0E31\u0E49\u0E07",NoZoom:"\u0E02\u0E19\u0E32\u0E14\u0E40\u0E14\u0E34\u0E21",TriggerRequires:"\u0E01\u0E32\u0E23\u0E40\u0E23\u0E34\u0E48\u0E21\u0E15\u0E49\u0E19\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22\u0E15\u0E49\u0E2D\u0E07\u0E21\u0E35:",Option:"\u0E15\u0E31\u0E27\u0E40\u0E25\u0E37\u0E2D\u0E01",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22",Renderer:"\u0E15\u0E31\u0E27\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C",MPHandles:"\u0E43\u0E2B\u0E49 MathPlayer \u0E08\u0E31\u0E14\u0E01\u0E32\u0E23\u0E2A\u0E34\u0E48\u0E07\u0E15\u0E48\u0E2D\u0E44\u0E1B\u0E19\u0E35\u0E49:",MenuEvents:"\u0E40\u0E2B\u0E15\u0E38\u0E01\u0E32\u0E23\u0E13\u0E4C\u0E40\u0E21\u0E19\u0E39",MouseEvents:"\u0E40\u0E2B\u0E15\u0E38\u0E01\u0E32\u0E23\u0E13\u0E4C\u0E40\u0E21\u0E32\u0E2A\u0E4C",MenuAndMouse:"\u0E40\u0E2B\u0E15\u0E38\u0E01\u0E32\u0E23\u0E13\u0E4C\u0E40\u0E21\u0E32\u0E2A\u0E4C\u0E41\u0E25\u0E30\u0E40\u0E21\u0E19\u0E39",FontPrefs:"\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23",ForHTMLCSS:"\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A HTML-CSS:",Auto:"\u0E2D\u0E31\u0E15\u0E42\u0E19\u0E21\u0E31\u0E15\u0E34",TeXLocal:"TeX (\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A)",TeXWeb:"TeX (\u0E40\u0E27\u0E47\u0E1A)",TeXImage:"TeX (\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E)",STIXLocal:"STIX (\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A)",STIXWeb:"STIX (\u0E40\u0E27\u0E47\u0E1A)",AsanaMathWeb:"Asana Math (\u0E40\u0E27\u0E47\u0E1A)",GyrePagellaWeb:"Gyre Pagella (\u0E40\u0E27\u0E47\u0E1A)",GyreTermesWeb:"Gyre Termes (\u0E40\u0E27\u0E47\u0E1A)",LatinModernWeb:"Latin Modern (\u0E40\u0E27\u0E47\u0E1A)",NeoEulerWeb:"Neo Euler (\u0E40\u0E27\u0E47\u0E1A)",ContextMenu:"\u0E40\u0E21\u0E19\u0E39\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E04\u0E25\u0E34\u0E01\u0E02\u0E27\u0E32",Browser:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C",Scale:"\u0E1B\u0E23\u0E31\u0E1A\u0E02\u0E19\u0E32\u0E14\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14 ...",Discoverable:"\u0E40\u0E19\u0E49\u0E19\u0E2A\u0E35\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E0A\u0E35\u0E49\u0E40\u0E21\u0E32\u0E2A\u0E4C\u0E04\u0E49\u0E32\u0E07\u0E44\u0E27\u0E49",Locale:"\u0E20\u0E32\u0E29\u0E32",LoadLocale:"\u0E42\u0E2B\u0E25\u0E14\u0E08\u0E32\u0E01\u0E17\u0E35\u0E48\u0E2D\u0E22\u0E39\u0E48 URL ...",About:"\u0E40\u0E01\u0E35\u0E48\u0E22\u0E27\u0E01\u0E31\u0E1A MathJax",Help:"\u0E04\u0E27\u0E32\u0E21\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D\u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax",localTeXfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 TeX \u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A",webTeXfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 TeX \u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A",imagefonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E23\u0E39\u0E1B\u0E20\u0E32\u0E1E",localSTIXfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 STIX \u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A",webSVGfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 SVG \u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A",genericfonts:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E22\u0E39\u0E19\u0E34\u0E42\u0E04\u0E49\u0E14\u0E17\u0E31\u0E48\u0E27\u0E44\u0E1B",wofforotffonts:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 WOFF \u0E2B\u0E23\u0E37\u0E2D OTF",eotffonts:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 EOT",svgfonts:"\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23 SVG",WebkitNativeMMLWarning:"\u0E14\u0E39\u0E40\u0E2B\u0E21\u0E37\u0E2D\u0E19\u0E27\u0E48\u0E32\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E23\u0E2D\u0E07\u0E23\u0E31\u0E1A MathML \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19 \u0E01\u0E32\u0E23\u0E1B\u0E23\u0E31\u0E1A\u0E44\u0E1B\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25 MathML \u0E2D\u0E32\u0E08\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E2D\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E2D\u0E2D\u0E01",MSIENativeMMLWarning:"Internet Explorer \u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E1B\u0E25\u0E31\u0E4A\u0E01\u0E2D\u0E34\u0E19 MathPlayer \u0E43\u0E19\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E01\u0E32\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25 MathML",OperaNativeMMLWarning:"\u0E01\u0E32\u0E23\u0E2A\u0E19\u0E31\u0E1A\u0E2A\u0E19\u0E38\u0E19 MathML \u0E43\u0E19 Opera's \u0E21\u0E35\u0E08\u0E33\u0E01\u0E31\u0E14 \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E31\u0E1A\u0E44\u0E1B\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25 MathML \u0E2D\u0E32\u0E08\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E1A\u0E32\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E44\u0E21\u0E48\u0E04\u0E21\u0E0A\u0E31\u0E14",SafariNativeMMLWarning:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E14\u0E49\u0E27\u0E22 MathML \u0E41\u0E15\u0E48\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E38\u0E13\u0E2A\u0E21\u0E1A\u0E31\u0E15\u0E34\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14\u0E17\u0E35\u0E48 MathJax \u0E43\u0E0A\u0E49\u0E44\u0E14\u0E49 \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E1A\u0E32\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E2D\u0E32\u0E08\u0E44\u0E21\u0E48\u0E04\u0E21\u0E0A\u0E31\u0E14",FirefoxNativeMMLWarning:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E14\u0E49\u0E27\u0E22 MathML \u0E41\u0E15\u0E48\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E38\u0E13\u0E2A\u0E21\u0E1A\u0E31\u0E15\u0E34\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14\u0E17\u0E35\u0E48 MathJax \u0E43\u0E0A\u0E49\u0E44\u0E14\u0E49 \u0E14\u0E31\u0E07\u0E19\u0E31\u0E49\u0E19\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E1A\u0E32\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E2D\u0E32\u0E08\u0E44\u0E21\u0E48\u0E04\u0E21\u0E0A\u0E31\u0E14",MSIESVGWarning:"SVG \u0E44\u0E21\u0E48\u0E21\u0E35\u0E43\u0E19 Internet Explorer \u0E23\u0E38\u0E48\u0E19\u0E01\u0E48\u0E2D\u0E19\u0E2B\u0E19\u0E49\u0E32 IE9 \u0E2B\u0E23\u0E37\u0E2D\u0E40\u0E21\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E34\u0E14\u0E42\u0E2B\u0E21\u0E14\u0E04\u0E27\u0E32\u0E21\u0E40\u0E02\u0E49\u0E32\u0E01\u0E31\u0E19\u0E44\u0E14\u0E49\u0E01\u0E31\u0E1A IE8 \u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E38\u0E48\u0E19\u0E01\u0E48\u0E2D\u0E19\u0E2B\u0E19\u0E49\u0E32 \u0E01\u0E32\u0E23\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E44\u0E1B\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E40\u0E1B\u0E47\u0E19 SVG \u0E08\u0E30\u0E17\u0E33\u0E43\u0E2B\u0E49\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E41\u0E2A\u0E14\u0E07\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07\u0E2B\u0E23\u0E37\u0E2D\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19",LoadURL:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E01\u0E32\u0E23\u0E41\u0E1B\u0E25\u0E08\u0E32\u0E01\u0E25\u0E34\u0E07\u0E01\u0E4C\u0E15\u0E48\u0E2D\u0E44\u0E1B\u0E19\u0E35\u0E49:",BadURL:"\u0E25\u0E34\u0E07\u0E01\u0E4C\u0E04\u0E27\u0E23\u0E08\u0E30\u0E40\u0E1B\u0E47\u0E19\u0E41\u0E1F\u0E49\u0E21\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E08\u0E32\u0E27\u0E32\u0E2A\u0E04\u0E23\u0E34\u0E1B\u0E15\u0E4C\u0E0B\u0E36\u0E48\u0E07\u0E23\u0E30\u0E1A\u0E38\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E01\u0E32\u0E23\u0E41\u0E1B\u0E25 MathJax \u0E17\u0E31\u0E49\u0E07\u0E19\u0E35\u0E49\u0E41\u0E1F\u0E49\u0E21\u0E08\u0E32\u0E27\u0E32\u0E2A\u0E04\u0E23\u0E34\u0E1B\u0E15\u0E4C\u0E04\u0E27\u0E23\u0E08\u0E30\u0E25\u0E07\u0E17\u0E49\u0E32\u0E22\u0E14\u0E49\u0E27\u0E22 '.js'",BadData:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25\u0E01\u0E32\u0E23\u0E41\u0E1B\u0E25\u0E08\u0E32\u0E01 %1",SwitchAnyway:"\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E15\u0E31\u0E27\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E20\u0E32\u0E1E/\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E40\u0E14\u0E35\u0E4B\u0E22\u0E27\u0E19\u0E35\u0E49\u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48\n\n(\u0E01\u0E14 \u0E15\u0E01\u0E25\u0E07 \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19 \u0E2B\u0E23\u0E37\u0E2D\u0E22\u0E01\u0E40\u0E25\u0E34\u0E01 \u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E43\u0E0A\u0E49\u0E15\u0E31\u0E27\u0E41\u0E2A\u0E14\u0E07\u0E1C\u0E25\u0E15\u0E31\u0E27\u0E40\u0E14\u0E34\u0E21)",ScaleMath:"\u0E1B\u0E23\u0E31\u0E1A\u0E02\u0E19\u0E32\u0E14\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E17\u0E31\u0E49\u0E07\u0E2B\u0E21\u0E14 (\u0E40\u0E17\u0E35\u0E22\u0E1A\u0E01\u0E31\u0E1A\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E02\u0E49\u0E32\u0E07\u0E40\u0E04\u0E35\u0E22\u0E07) \u0E42\u0E14\u0E22\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19",NonZeroScale:"\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19\u0E44\u0E21\u0E48\u0E04\u0E27\u0E23\u0E40\u0E1B\u0E47\u0E19\u0E28\u0E39\u0E19\u0E22\u0E4C",PercentScale:"\u0E2A\u0E31\u0E14\u0E2A\u0E48\u0E27\u0E19\u0E04\u0E27\u0E23\u0E41\u0E2A\u0E14\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E23\u0E49\u0E2D\u0E22\u0E25\u0E30 (\u0E40\u0E0A\u0E48\u0E19 120%%)",IE8warning:"\u0E01\u0E32\u0E23\u0E01\u0E23\u0E30\u0E17\u0E33\u0E19\u0E35\u0E49\u0E08\u0E30\u0E1B\u0E34\u0E14\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E40\u0E21\u0E19\u0E39 MathJax \u0E23\u0E27\u0E21\u0E16\u0E36\u0E07\u0E01\u0E32\u0E23\u0E02\u0E22\u0E32\u0E22\u0E2A\u0E21\u0E01\u0E32\u0E23 \u0E41\u0E15\u0E48\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E01\u0E14\u0E1B\u0E38\u0E48\u0E21 Alt \u0E41\u0E25\u0E49\u0E27\u0E04\u0E25\u0E34\u0E01\u0E17\u0E35\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E21\u0E19\u0E39\u0E44\u0E14\u0E49\n\n\u0E17\u0E48\u0E32\u0E19\u0E15\u0E49\u0E2D\u0E07\u0E01\u0E32\u0E23\u0E40\u0E1B\u0E25\u0E35\u0E48\u0E22\u0E19\u0E01\u0E32\u0E23\u0E15\u0E31\u0E49\u0E07\u0E04\u0E48\u0E32 MathPlayer \u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48?",IE9warning:"\u0E40\u0E21\u0E19\u0E39\u0E01\u0E33\u0E01\u0E31\u0E1A\u0E2A\u0E21\u0E01\u0E32\u0E23 MathJax \u0E08\u0E30\u0E16\u0E39\u0E01\u0E1B\u0E34\u0E14\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 \u0E41\u0E15\u0E48\u0E17\u0E48\u0E32\u0E19\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E01\u0E14\u0E1B\u0E38\u0E48\u0E21 Alt \u0E41\u0E25\u0E49\u0E27\u0E04\u0E25\u0E34\u0E01\u0E17\u0E35\u0E48\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E21\u0E19\u0E39\u0E41\u0E17\u0E19\u0E44\u0E14\u0E49",NoOriginalForm:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E14\u0E31\u0E49\u0E07\u0E40\u0E14\u0E34\u0E21",Close:"\u0E1B\u0E34\u0E14",EqSource:"\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E15\u0E49\u0E19\u0E09\u0E1A\u0E31\u0E1A MathJax",CloseAboutDialog:"\u0E1B\u0E34\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E15\u0E48\u0E32\u0E07\u0E40\u0E01\u0E35\u0E48\u0E22\u0E27\u0E01\u0E31\u0E1A MathJax",FastPreview:"\u0E41\u0E2A\u0E14\u0E07\u0E15\u0E31\u0E27\u0E2D\u0E22\u0E48\u0E32\u0E07\u0E40\u0E23\u0E48\u0E07\u0E14\u0E48\u0E27\u0E19",AssistiveMML:"MathML \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E01\u0E32\u0E23\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D",InTabOrder:"\u0E23\u0E27\u0E21\u0E44\u0E27\u0E49\u0E43\u0E19\u0E25\u0E33\u0E14\u0E31\u0E1A\u0E41\u0E17\u0E47\u0E1A"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/MathMenu.js");
diff --git a/localization/th/TeX.js b/localization/th/TeX.js
index b24509880b..298f6fee0f 100644
--- a/localization/th/TeX.js
+++ b/localization/th/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/th/TeX.js
+ *  /MathJax-v2/localization/th/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("th","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14",ExtraCloseMissingOpen:"\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14",MissingLeftExtraRight:"\u0E02\u0E32\u0E14 \\left \u0E2B\u0E23\u0E37\u0E2D\u0E21\u0E35 \\right \u0E40\u0E01\u0E34\u0E19\u0E21\u0E32",MissingScript:"\u0E15\u0E31\u0E27\u0E22\u0E01\u0E2B\u0E23\u0E37\u0E2D\u0E15\u0E31\u0E27\u0E2B\u0E49\u0E2D\u0E22\u0E27\u0E48\u0E32\u0E07\u0E40\u0E1B\u0E25\u0E48\u0E32",ExtraLeftMissingRight:"\u0E21\u0E35 \\left \u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14 \\right",Misplaced:"\u0E27\u0E32\u0E07 %1 \u0E1C\u0E34\u0E14\u0E15\u0E33\u0E41\u0E2B\u0E19\u0E48\u0E07",MissingOpenForSub:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E2B\u0E49\u0E2D\u0E22",MissingOpenForSup:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E22\u0E01",AmbiguousUseOf:"\u0E1E\u0E1A\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19",EnvBadEnd:"\u0E40\u0E23\u0E34\u0E48\u0E21\u0E15\u0E49\u0E19\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 \\begin{%1} \u0E41\u0E15\u0E48\u0E25\u0E07\u0E17\u0E49\u0E32\u0E22\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 \\end{%2}",EnvMissingEnd:"\u0E25\u0E37\u0E21\u0E25\u0E07\u0E17\u0E49\u0E32\u0E22\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 \\end{%1}",MissingBoxFor:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E01\u0E25\u0E48\u0E2D\u0E07\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %1",MissingCloseBrace:"\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14",UndefinedControlSequence:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E44\u0E21\u0E48\u0E17\u0E23\u0E32\u0E1A\u0E04\u0E27\u0E32\u0E21\u0E2B\u0E21\u0E32\u0E22\u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E30\u0E1A\u0E38\u0E44\u0E21\u0E48\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19 %1",DoubleExponent:"\u0E15\u0E31\u0E27\u0E22\u0E01\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19 \u0E42\u0E1B\u0E23\u0E14\u0E43\u0E0A\u0E49\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E01\u0E25\u0E38\u0E48\u0E21\u0E43\u0E2B\u0E49\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19",DoubleSubscripts:"\u0E15\u0E31\u0E27\u0E2B\u0E49\u0E2D\u0E22\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19 \u0E42\u0E1B\u0E23\u0E14\u0E43\u0E0A\u0E49\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E01\u0E25\u0E38\u0E48\u0E21\u0E43\u0E2B\u0E49\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19",DoubleExponentPrime:"\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2B\u0E21\u0E32\u0E22\u0E44\u0E1E\u0E23\u0E21\u0E4C (Prime) \u0E27\u0E32\u0E07\u0E44\u0E27\u0E49\u0E43\u0E19\u0E25\u0E31\u0E01\u0E29\u0E13\u0E30\u0E15\u0E31\u0E27\u0E22\u0E01\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19 \u0E42\u0E1B\u0E23\u0E14\u0E43\u0E0A\u0E49\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E01\u0E25\u0E38\u0E48\u0E21\u0E43\u0E2B\u0E49\u0E08\u0E31\u0E14\u0E40\u0E08\u0E19",CantUseHash1:"\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49 '\u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E1E\u0E32\u0E23\u0E32\u0E21\u0E34\u0E40\u0E15\u0E2D\u0E23\u0E4C\u0E21\u0E32\u0E42\u0E04\u0E23 #' \u0E43\u0E19\u0E42\u0E2B\u0E21\u0E14\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E44\u0E14\u0E49",MisplacedMiddle:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E2B\u0E23\u0E37\u0E2D\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04 %1 \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E23\u0E30\u0E2B\u0E27\u0E48\u0E32\u0E07 \\left \u0E41\u0E25\u0E30 \\right",MisplacedLimits:"\u0E2D\u0E19\u0E38\u0E0D\u0E32\u0E15\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49 %1 \u0E01\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E14\u0E33\u0E40\u0E19\u0E34\u0E19\u0E01\u0E32\u0E23\u0E40\u0E17\u0E48\u0E32\u0E19\u0E31\u0E49\u0E19",MisplacedMoveRoot:"\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04 %1 \u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E2D\u0E22\u0E39\u0E48\u0E44\u0E14\u0E49\u0E40\u0E09\u0E1E\u0E32\u0E30\u0E20\u0E32\u0E22\u0E43\u0E19\u0E23\u0E32\u0E01\u0E40\u0E17\u0E48\u0E32\u0E19\u0E31\u0E49\u0E19",MultipleCommand:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19",IntegerArg:"\u0E2D\u0E32\u0E23\u0E4C\u0E01\u0E34\u0E27\u0E40\u0E21\u0E19\u0E15\u0E4C\u0E02\u0E2D\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E08\u0E33\u0E19\u0E27\u0E19\u0E40\u0E15\u0E47\u0E21",NotMathMLToken:"%1 \u0E44\u0E21\u0E48\u0E16\u0E37\u0E2D\u0E40\u0E1B\u0E47\u0E19 token element",InvalidMathMLAttr:"\u0E41\u0E2D\u0E15\u0E17\u0E23\u0E34\u0E1A\u0E34\u0E27\u0E15\u0E4C MathML \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",UnknownAttrForElement:"%1 \u0E44\u0E21\u0E48\u0E16\u0E37\u0E2D\u0E40\u0E1B\u0E47\u0E19\u0E04\u0E38\u0E13\u0E2A\u0E21\u0E1A\u0E31\u0E15\u0E34\u0E2B\u0E23\u0E37\u0E2D\u0E41\u0E2D\u0E15\u0E17\u0E23\u0E34\u0E1A\u0E34\u0E27\u0E15\u0E4C\u0E17\u0E35\u0E48\u0E43\u0E0A\u0E49\u0E01\u0E31\u0E1A %2 \u0E44\u0E14\u0E49",MaxMacroSub1:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E01\u0E32\u0E23\u0E41\u0E17\u0E19\u0E17\u0E35\u0E48\u0E21\u0E32\u0E42\u0E04\u0E23\u0E02\u0E2D\u0E07 MathJax \u0E40\u0E25\u0E22\u0E04\u0E48\u0E32\u0E2A\u0E39\u0E07\u0E2A\u0E38\u0E14 \u0E2D\u0E32\u0E08\u0E21\u0E35\u0E01\u0E32\u0E23\u0E40\u0E23\u0E35\u0E22\u0E01\u0E43\u0E0A\u0E49\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E41\u0E1A\u0E1A\u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E1A?",MaxMacroSub2:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E01\u0E32\u0E23\u0E41\u0E17\u0E19\u0E04\u0E48\u0E32 MathJax \u0E40\u0E25\u0E22\u0E04\u0E48\u0E32\u0E2A\u0E39\u0E07\u0E2A\u0E38\u0E14 \u0E2D\u0E32\u0E08\u0E08\u0E30\u0E21\u0E35\u0E01\u0E32\u0E23\u0E40\u0E23\u0E35\u0E22\u0E01\u0E43\u0E0A\u0E49\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E41\u0E1A\u0E1A\u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E1A?",MissingArgFor:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E21\u0E35\u0E2D\u0E07\u0E04\u0E4C\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E08\u0E33\u0E40\u0E1B\u0E47\u0E19\u0E44\u0E21\u0E48\u0E04\u0E23\u0E1A\u0E16\u0E49\u0E27\u0E19",ExtraAlignTab:"\u0E21\u0E35\u0E41\u0E17\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E27\u0E32\u0E07\u0E40\u0E1E\u0E34\u0E48\u0E21\u0E40\u0E15\u0E34\u0E21\u0E43\u0E19\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21 \\cases",BracketMustBeDimension:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E43\u0E19\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E02\u0E19\u0E32\u0E14\u0E2B\u0E23\u0E37\u0E2D\u0E21\u0E34\u0E15\u0E34",InvalidEnv:"\u0E0A\u0E37\u0E48\u0E2D\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 '%1'\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",UnknownEnv:"\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 (environment) \u0E17\u0E35\u0E48\u0E44\u0E21\u0E48\u0E17\u0E23\u0E32\u0E1A\u0E2B\u0E23\u0E37\u0E2D\u0E41\u0E1B\u0E25\u0E04\u0E27\u0E32\u0E21\u0E2B\u0E21\u0E32\u0E22\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49 '%1'",ExtraCloseLooking:"\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E02\u0E13\u0E30\u0E17\u0E35\u0E48\u0E15\u0E23\u0E27\u0E08\u0E2B\u0E32 %1",MissingCloseBracket:"\u0E44\u0E21\u0E48\u0E1E\u0E1A ']' \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",MissingOrUnrecognizedDelim:"\u0E15\u0E31\u0E27\u0E04\u0E31\u0E48\u0E19\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A %1 \u0E2B\u0E32\u0E22\u0E44\u0E1B \u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E31\u0E01",MissingDimOrUnits:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E02\u0E19\u0E32\u0E14\u0E2B\u0E23\u0E37\u0E2D\u0E2B\u0E19\u0E48\u0E27\u0E22\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",TokenNotFoundForCommand:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E49\u0E19\u0E2B\u0E32 %1 \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %2",MathNotTerminated:"\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E43\u0E19\u0E01\u0E25\u0E48\u0E2D\u0E07\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E1B\u0E34\u0E14\u0E44\u0E21\u0E48\u0E40\u0E23\u0E35\u0E22\u0E1A\u0E23\u0E49\u0E2D\u0E22",IllegalMacroParam:"\u0E01\u0E32\u0E23\u0E2D\u0E49\u0E32\u0E07\u0E16\u0E36\u0E07\u0E1E\u0E32\u0E23\u0E32\u0E21\u0E34\u0E40\u0E15\u0E2D\u0E23\u0E4C\u0E21\u0E32\u0E42\u0E04\u0E23\u0E1C\u0E34\u0E14\u0E2B\u0E25\u0E31\u0E01\u0E40\u0E01\u0E13\u0E11\u0E4C",MaxBufferSize:"\u0E1A\u0E31\u0E1F\u0E40\u0E1F\u0E2D\u0E23\u0E4C\u0E20\u0E32\u0E22\u0E43\u0E19\u0E02\u0E2D\u0E07 MathJax \u0E25\u0E49\u0E19\u0E40\u0E01\u0E34\u0E19\u0E02\u0E19\u0E32\u0E14 \u0E21\u0E35\u0E01\u0E32\u0E23\u0E40\u0E23\u0E35\u0E22\u0E01\u0E21\u0E32\u0E42\u0E04\u0E23\u0E41\u0E1A\u0E1A\u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48?",CommandNotAllowedInEnv:"\u0E44\u0E21\u0E48\u0E2D\u0E19\u0E38\u0E0D\u0E32\u0E15\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E20\u0E32\u0E22\u0E43\u0E19\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %2",MultipleLabel:"\u0E1B\u0E49\u0E32\u0E22\u0E23\u0E30\u0E1A\u0E38 '%1' \u0E21\u0E35\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19\u0E01\u0E31\u0E19",CommandAtTheBeginingOfLine:"%1 \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E15\u0E49\u0E19\u0E1A\u0E23\u0E23\u0E17\u0E31\u0E14",IllegalAlign:"\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E01\u0E32\u0E23\u0E08\u0E31\u0E14\u0E27\u0E32\u0E07\u0E43\u0E19 %1 \u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",BadMathStyleFor:"\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %1 \u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",PositiveIntegerArg:"\u0E2D\u0E32\u0E23\u0E4C\u0E01\u0E34\u0E27\u0E40\u0E21\u0E19\u0E15\u0E4C\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E08\u0E33\u0E19\u0E27\u0E19\u0E40\u0E15\u0E47\u0E21\u0E1A\u0E27\u0E01",ErroneousNestingEq:"\u0E01\u0E32\u0E23\u0E08\u0E31\u0E14\u0E40\u0E23\u0E35\u0E22\u0E07\u0E42\u0E04\u0E23\u0E07\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E0B\u0E49\u0E2D\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E21\u0E35\u0E04\u0E27\u0E32\u0E21\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",MultlineRowsOneCol:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E41\u0E16\u0E27\u0E43\u0E19\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E21\u0E35\u0E08\u0E33\u0E19\u0E27\u0E19\u0E04\u0E2D\u0E25\u0E31\u0E21\u0E19\u0E4C\u0E2B\u0E23\u0E37\u0E2D\u0E2B\u0E25\u0E31\u0E01\u0E40\u0E1E\u0E35\u0E22\u0E07\u0E2B\u0E19\u0E36\u0E48\u0E07\u0E40\u0E17\u0E48\u0E32\u0E19\u0E31\u0E49\u0E19",MultipleBBoxProperty:"\u0E23\u0E30\u0E1A\u0E38 %1 \u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E43\u0E19 %2",InvalidBBoxProperty:"\u0E14\u0E39\u0E40\u0E2B\u0E21\u0E37\u0E2D\u0E19\u0E27\u0E48\u0E32 '%1' \u0E44\u0E21\u0E48\u0E43\u0E0A\u0E48\u0E2A\u0E35 \u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E01\u0E32\u0E23\u0E40\u0E15\u0E34\u0E21 \u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A",ExtraEndMissingBegin:"\u0E21\u0E35 %1 \u0E40\u0E01\u0E34\u0E19 \u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14 \\begingroup",GlobalNotFollowedBy:"%1 \u0E44\u0E21\u0E48\u0E15\u0E32\u0E21\u0E14\u0E49\u0E27\u0E22 \\let, \\def, \u0E2B\u0E23\u0E37\u0E2D \\newcommand",UndefinedColorModel:"\u0E41\u0E1A\u0E1A\u0E08\u0E33\u0E25\u0E2D\u0E07\u0E2A\u0E35 '%1' \u0E22\u0E31\u0E07\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49\u0E19\u0E34\u0E22\u0E32\u0E21",ModelArg1:"\u0E04\u0E48\u0E32\u0E2A\u0E35\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E41\u0E1A\u0E1A\u0E08\u0E33\u0E25\u0E2D\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E21\u0E35\u0E15\u0E31\u0E27\u0E40\u0E25\u0E02 3 \u0E15\u0E31\u0E27",InvalidDecimalNumber:"\u0E15\u0E31\u0E27\u0E40\u0E25\u0E02\u0E17\u0E28\u0E19\u0E34\u0E22\u0E21\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",ModelArg2:"\u0E04\u0E48\u0E32\u0E2A\u0E35\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E41\u0E1A\u0E1A\u0E08\u0E33\u0E25\u0E2D\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E23\u0E30\u0E2B\u0E27\u0E48\u0E32\u0E07 %2 \u0E41\u0E25\u0E30 %3",InvalidNumber:"\u0E15\u0E31\u0E27\u0E40\u0E25\u0E02\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",NewextarrowArg1:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E41\u0E23\u0E01\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E0A\u0E37\u0E48\u0E2D\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21",NewextarrowArg2:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E2A\u0E2D\u0E07\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E08\u0E33\u0E19\u0E27\u0E19\u0E40\u0E15\u0E47\u0E21\u0E2A\u0E2D\u0E07\u0E15\u0E31\u0E27\u0E04\u0E31\u0E48\u0E19\u0E14\u0E49\u0E27\u0E22\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2B\u0E21\u0E32\u0E22\u0E08\u0E38\u0E25\u0E20\u0E32\u0E04",NewextarrowArg3:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E2A\u0E32\u0E21\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E23\u0E2B\u0E31\u0E2A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E22\u0E39\u0E19\u0E34\u0E42\u0E04\u0E49\u0E14",NoClosingChar:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14 %1",IllegalControlSequenceName:"\u0E0A\u0E37\u0E48\u0E2D\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E1C\u0E34\u0E14\u0E01\u0E0E\u0E40\u0E01\u0E13\u0E11\u0E4C",IllegalParamNumber:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E23\u0E30\u0E1A\u0E38\u0E43\u0E19 %1 \u0E1C\u0E34\u0E14\u0E01\u0E0E\u0E40\u0E01\u0E13\u0E11\u0E4C (\u0E02\u0E32\u0E14\u0E2B\u0E23\u0E37\u0E2D\u0E40\u0E01\u0E34\u0E19)",MissingCS:"%1 \u0E15\u0E49\u0E2D\u0E07\u0E15\u0E32\u0E21\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21",CantUseHash2:"\u0E1E\u0E1A\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49 # \u0E0B\u0E36\u0E48\u0E07\u0E1C\u0E34\u0E14\u0E2B\u0E25\u0E31\u0E01\u0E40\u0E01\u0E13\u0E11\u0E4C\u0E43\u0E19\u0E41\u0E21\u0E48\u0E41\u0E1A\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",SequentialParam:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E23\u0E35\u0E22\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E25\u0E33\u0E14\u0E31\u0E1A",MissingReplacementString:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E15\u0E31\u0E27\u0E41\u0E17\u0E19\u0E2A\u0E32\u0E22\u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E43\u0E19\u0E19\u0E34\u0E22\u0E32\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",MismatchUseDef:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E44\u0E21\u0E48\u0E15\u0E23\u0E07\u0E01\u0E31\u0E1A\u0E19\u0E34\u0E22\u0E32\u0E21\u0E40\u0E14\u0E34\u0E21\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07",RunawayArgument:"\u0E21\u0E35\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E25\u0E30\u0E40\u0E27\u0E49\u0E19\u0E44\u0E27\u0E49\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1?",NoClosingDelim:"\u0E44\u0E21\u0E48\u0E1E\u0E1A closing delimiter \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/TeX.js");
+MathJax.Localization.addTranslation("th","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14",ExtraCloseMissingOpen:"\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14",MissingLeftExtraRight:"\u0E02\u0E32\u0E14 \\left \u0E2B\u0E23\u0E37\u0E2D\u0E21\u0E35 \\right \u0E40\u0E01\u0E34\u0E19\u0E21\u0E32",MissingScript:"\u0E15\u0E31\u0E27\u0E22\u0E01\u0E2B\u0E23\u0E37\u0E2D\u0E15\u0E31\u0E27\u0E2B\u0E49\u0E2D\u0E22\u0E27\u0E48\u0E32\u0E07\u0E40\u0E1B\u0E25\u0E48\u0E32",ExtraLeftMissingRight:"\u0E21\u0E35 \\left \u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14 \\right",Misplaced:"\u0E27\u0E32\u0E07 %1 \u0E1C\u0E34\u0E14\u0E15\u0E33\u0E41\u0E2B\u0E19\u0E48\u0E07",MissingOpenForSub:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E2B\u0E49\u0E2D\u0E22",MissingOpenForSup:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E22\u0E01",AmbiguousUseOf:"\u0E1E\u0E1A\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19",EnvBadEnd:"\u0E40\u0E23\u0E34\u0E48\u0E21\u0E15\u0E49\u0E19\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 \\begin{%1} \u0E41\u0E15\u0E48\u0E25\u0E07\u0E17\u0E49\u0E32\u0E22\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 \\end{%2}",EnvMissingEnd:"\u0E25\u0E37\u0E21\u0E25\u0E07\u0E17\u0E49\u0E32\u0E22\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 \\end{%1}",MissingBoxFor:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E01\u0E25\u0E48\u0E2D\u0E07\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %1",MissingCloseBrace:"\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14",UndefinedControlSequence:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E44\u0E21\u0E48\u0E17\u0E23\u0E32\u0E1A\u0E04\u0E27\u0E32\u0E21\u0E2B\u0E21\u0E32\u0E22\u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E30\u0E1A\u0E38\u0E44\u0E21\u0E48\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19 %1",DoubleExponent:"\u0E15\u0E31\u0E27\u0E22\u0E01\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19 \u0E42\u0E1B\u0E23\u0E14\u0E43\u0E0A\u0E49\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E01\u0E25\u0E38\u0E48\u0E21\u0E43\u0E2B\u0E49\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19",DoubleSubscripts:"\u0E15\u0E31\u0E27\u0E2B\u0E49\u0E2D\u0E22\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19 \u0E42\u0E1B\u0E23\u0E14\u0E43\u0E0A\u0E49\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E01\u0E25\u0E38\u0E48\u0E21\u0E43\u0E2B\u0E49\u0E0A\u0E31\u0E14\u0E40\u0E08\u0E19",DoubleExponentPrime:"\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2B\u0E21\u0E32\u0E22\u0E44\u0E1E\u0E23\u0E21\u0E4C (Prime) \u0E27\u0E32\u0E07\u0E44\u0E27\u0E49\u0E43\u0E19\u0E25\u0E31\u0E01\u0E29\u0E13\u0E30\u0E15\u0E31\u0E27\u0E22\u0E01\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19 \u0E42\u0E1B\u0E23\u0E14\u0E43\u0E0A\u0E49\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E01\u0E25\u0E38\u0E48\u0E21\u0E43\u0E2B\u0E49\u0E08\u0E31\u0E14\u0E40\u0E08\u0E19",CantUseHash1:"\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E43\u0E0A\u0E49 '\u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E1E\u0E32\u0E23\u0E32\u0E21\u0E34\u0E40\u0E15\u0E2D\u0E23\u0E4C\u0E21\u0E32\u0E42\u0E04\u0E23 #' \u0E43\u0E19\u0E42\u0E2B\u0E21\u0E14\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E44\u0E14\u0E49",MisplacedMiddle:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E2B\u0E23\u0E37\u0E2D\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04 %1 \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E23\u0E30\u0E2B\u0E27\u0E48\u0E32\u0E07 \\left \u0E41\u0E25\u0E30 \\right",MisplacedLimits:"\u0E2D\u0E19\u0E38\u0E0D\u0E32\u0E15\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49 %1 \u0E01\u0E31\u0E1A\u0E15\u0E31\u0E27\u0E14\u0E33\u0E40\u0E19\u0E34\u0E19\u0E01\u0E32\u0E23\u0E40\u0E17\u0E48\u0E32\u0E19\u0E31\u0E49\u0E19",MisplacedMoveRoot:"\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04 %1 \u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E2D\u0E22\u0E39\u0E48\u0E44\u0E14\u0E49\u0E40\u0E09\u0E1E\u0E32\u0E30\u0E20\u0E32\u0E22\u0E43\u0E19\u0E23\u0E32\u0E01\u0E40\u0E17\u0E48\u0E32\u0E19\u0E31\u0E49\u0E19",MultipleCommand:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19",IntegerArg:"\u0E2D\u0E32\u0E23\u0E4C\u0E01\u0E34\u0E27\u0E40\u0E21\u0E19\u0E15\u0E4C\u0E02\u0E2D\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E08\u0E33\u0E19\u0E27\u0E19\u0E40\u0E15\u0E47\u0E21",NotMathMLToken:"%1 \u0E44\u0E21\u0E48\u0E16\u0E37\u0E2D\u0E40\u0E1B\u0E47\u0E19 token element",InvalidMathMLAttr:"\u0E41\u0E2D\u0E15\u0E17\u0E23\u0E34\u0E1A\u0E34\u0E27\u0E15\u0E4C MathML \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",UnknownAttrForElement:"%1 \u0E44\u0E21\u0E48\u0E16\u0E37\u0E2D\u0E40\u0E1B\u0E47\u0E19\u0E04\u0E38\u0E13\u0E2A\u0E21\u0E1A\u0E31\u0E15\u0E34\u0E2B\u0E23\u0E37\u0E2D\u0E41\u0E2D\u0E15\u0E17\u0E23\u0E34\u0E1A\u0E34\u0E27\u0E15\u0E4C\u0E17\u0E35\u0E48\u0E43\u0E0A\u0E49\u0E01\u0E31\u0E1A %2 \u0E44\u0E14\u0E49",MaxMacroSub1:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E01\u0E32\u0E23\u0E41\u0E17\u0E19\u0E17\u0E35\u0E48\u0E21\u0E32\u0E42\u0E04\u0E23\u0E02\u0E2D\u0E07 MathJax \u0E40\u0E25\u0E22\u0E04\u0E48\u0E32\u0E2A\u0E39\u0E07\u0E2A\u0E38\u0E14 \u0E2D\u0E32\u0E08\u0E21\u0E35\u0E01\u0E32\u0E23\u0E40\u0E23\u0E35\u0E22\u0E01\u0E43\u0E0A\u0E49\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E41\u0E1A\u0E1A\u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E1A?",MaxMacroSub2:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E01\u0E32\u0E23\u0E41\u0E17\u0E19\u0E04\u0E48\u0E32 MathJax \u0E40\u0E25\u0E22\u0E04\u0E48\u0E32\u0E2A\u0E39\u0E07\u0E2A\u0E38\u0E14 \u0E2D\u0E32\u0E08\u0E08\u0E30\u0E21\u0E35\u0E01\u0E32\u0E23\u0E40\u0E23\u0E35\u0E22\u0E01\u0E43\u0E0A\u0E49\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E41\u0E1A\u0E1A\u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E1A?",MissingArgFor:"\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E21\u0E35\u0E2D\u0E07\u0E04\u0E4C\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E08\u0E33\u0E40\u0E1B\u0E47\u0E19\u0E44\u0E21\u0E48\u0E04\u0E23\u0E1A\u0E16\u0E49\u0E27\u0E19",ExtraAlignTab:"\u0E21\u0E35\u0E41\u0E17\u0E47\u0E1A\u0E08\u0E31\u0E14\u0E27\u0E32\u0E07\u0E40\u0E1E\u0E34\u0E48\u0E21\u0E40\u0E15\u0E34\u0E21\u0E43\u0E19\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21 \\cases",BracketMustBeDimension:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E43\u0E19\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E02\u0E19\u0E32\u0E14\u0E2B\u0E23\u0E37\u0E2D\u0E21\u0E34\u0E15\u0E34",InvalidEnv:"\u0E0A\u0E37\u0E48\u0E2D\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 '%1'\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",UnknownEnv:"\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 (environment) \u0E17\u0E35\u0E48\u0E44\u0E21\u0E48\u0E17\u0E23\u0E32\u0E1A\u0E2B\u0E23\u0E37\u0E2D\u0E41\u0E1B\u0E25\u0E04\u0E27\u0E32\u0E21\u0E2B\u0E21\u0E32\u0E22\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49 '%1'",ExtraCloseLooking:"\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E02\u0E13\u0E30\u0E17\u0E35\u0E48\u0E15\u0E23\u0E27\u0E08\u0E2B\u0E32 %1",MissingCloseBracket:"\u0E44\u0E21\u0E48\u0E1E\u0E1A ']' \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",MissingOrUnrecognizedDelim:"\u0E15\u0E31\u0E27\u0E04\u0E31\u0E48\u0E19\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A %1 \u0E2B\u0E32\u0E22\u0E44\u0E1B \u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48\u0E23\u0E39\u0E49\u0E08\u0E31\u0E01",MissingDimOrUnits:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E02\u0E19\u0E32\u0E14\u0E2B\u0E23\u0E37\u0E2D\u0E2B\u0E19\u0E48\u0E27\u0E22\u0E17\u0E35\u0E48\u0E43\u0E2B\u0E49\u0E01\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",TokenNotFoundForCommand:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E04\u0E49\u0E19\u0E2B\u0E32 %1 \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %2",MathNotTerminated:"\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E43\u0E19\u0E01\u0E25\u0E48\u0E2D\u0E07\u0E02\u0E49\u0E2D\u0E04\u0E27\u0E32\u0E21\u0E1B\u0E34\u0E14\u0E44\u0E21\u0E48\u0E40\u0E23\u0E35\u0E22\u0E1A\u0E23\u0E49\u0E2D\u0E22",IllegalMacroParam:"\u0E01\u0E32\u0E23\u0E2D\u0E49\u0E32\u0E07\u0E16\u0E36\u0E07\u0E1E\u0E32\u0E23\u0E32\u0E21\u0E34\u0E40\u0E15\u0E2D\u0E23\u0E4C\u0E21\u0E32\u0E42\u0E04\u0E23\u0E1C\u0E34\u0E14\u0E2B\u0E25\u0E31\u0E01\u0E40\u0E01\u0E13\u0E11\u0E4C",MaxBufferSize:"\u0E1A\u0E31\u0E1F\u0E40\u0E1F\u0E2D\u0E23\u0E4C\u0E20\u0E32\u0E22\u0E43\u0E19\u0E02\u0E2D\u0E07 MathJax \u0E25\u0E49\u0E19\u0E40\u0E01\u0E34\u0E19\u0E02\u0E19\u0E32\u0E14 \u0E21\u0E35\u0E01\u0E32\u0E23\u0E40\u0E23\u0E35\u0E22\u0E01\u0E21\u0E32\u0E42\u0E04\u0E23\u0E41\u0E1A\u0E1A\u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E2B\u0E23\u0E37\u0E2D\u0E44\u0E21\u0E48?",CommandNotAllowedInEnv:"\u0E44\u0E21\u0E48\u0E2D\u0E19\u0E38\u0E0D\u0E32\u0E15\u0E43\u0E2B\u0E49\u0E43\u0E0A\u0E49\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E20\u0E32\u0E22\u0E43\u0E19\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %2",MultipleLabel:"\u0E1B\u0E49\u0E32\u0E22\u0E23\u0E30\u0E1A\u0E38 '%1' \u0E21\u0E35\u0E0B\u0E49\u0E33\u0E0B\u0E49\u0E2D\u0E19\u0E01\u0E31\u0E19",CommandAtTheBeginingOfLine:"%1 \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E15\u0E49\u0E19\u0E1A\u0E23\u0E23\u0E17\u0E31\u0E14",IllegalAlign:"\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E01\u0E32\u0E23\u0E08\u0E31\u0E14\u0E27\u0E32\u0E07\u0E43\u0E19 %1 \u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",BadMathStyleFor:"\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %1 \u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",PositiveIntegerArg:"\u0E2D\u0E32\u0E23\u0E4C\u0E01\u0E34\u0E27\u0E40\u0E21\u0E19\u0E15\u0E4C\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E08\u0E33\u0E19\u0E27\u0E19\u0E40\u0E15\u0E47\u0E21\u0E1A\u0E27\u0E01",ErroneousNestingEq:"\u0E01\u0E32\u0E23\u0E08\u0E31\u0E14\u0E40\u0E23\u0E35\u0E22\u0E07\u0E42\u0E04\u0E23\u0E07\u0E2A\u0E23\u0E49\u0E32\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E0B\u0E49\u0E2D\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E21\u0E35\u0E04\u0E27\u0E32\u0E21\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",MultlineRowsOneCol:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E41\u0E16\u0E27\u0E43\u0E19\u0E01\u0E25\u0E38\u0E48\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E21\u0E35\u0E08\u0E33\u0E19\u0E27\u0E19\u0E04\u0E2D\u0E25\u0E31\u0E21\u0E19\u0E4C\u0E2B\u0E23\u0E37\u0E2D\u0E2B\u0E25\u0E31\u0E01\u0E40\u0E1E\u0E35\u0E22\u0E07\u0E2B\u0E19\u0E36\u0E48\u0E07\u0E40\u0E17\u0E48\u0E32\u0E19\u0E31\u0E49\u0E19",MultipleBBoxProperty:"\u0E23\u0E30\u0E1A\u0E38 %1 \u0E0B\u0E49\u0E33\u0E01\u0E31\u0E19\u0E43\u0E19 %2",InvalidBBoxProperty:"\u0E14\u0E39\u0E40\u0E2B\u0E21\u0E37\u0E2D\u0E19\u0E27\u0E48\u0E32 '%1' \u0E44\u0E21\u0E48\u0E43\u0E0A\u0E48\u0E2A\u0E35 \u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A\u0E01\u0E32\u0E23\u0E40\u0E15\u0E34\u0E21 \u0E2B\u0E23\u0E37\u0E2D\u0E23\u0E39\u0E1B\u0E41\u0E1A\u0E1A",ExtraEndMissingBegin:"\u0E21\u0E35 %1 \u0E40\u0E01\u0E34\u0E19 \u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14 \\begingroup",GlobalNotFollowedBy:"%1 \u0E44\u0E21\u0E48\u0E15\u0E32\u0E21\u0E14\u0E49\u0E27\u0E22 \\let, \\def, \u0E2B\u0E23\u0E37\u0E2D \\newcommand",UndefinedColorModel:"\u0E41\u0E1A\u0E1A\u0E08\u0E33\u0E25\u0E2D\u0E07\u0E2A\u0E35 '%1' \u0E22\u0E31\u0E07\u0E44\u0E21\u0E48\u0E44\u0E14\u0E49\u0E19\u0E34\u0E22\u0E32\u0E21",ModelArg1:"\u0E04\u0E48\u0E32\u0E2A\u0E35\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E41\u0E1A\u0E1A\u0E08\u0E33\u0E25\u0E2D\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E21\u0E35\u0E15\u0E31\u0E27\u0E40\u0E25\u0E02 3 \u0E15\u0E31\u0E27",InvalidDecimalNumber:"\u0E15\u0E31\u0E27\u0E40\u0E25\u0E02\u0E17\u0E28\u0E19\u0E34\u0E22\u0E21\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",ModelArg2:"\u0E04\u0E48\u0E32\u0E2A\u0E35\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E41\u0E1A\u0E1A\u0E08\u0E33\u0E25\u0E2D\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E2D\u0E22\u0E39\u0E48\u0E23\u0E30\u0E2B\u0E27\u0E48\u0E32\u0E07 %2 \u0E41\u0E25\u0E30 %3",InvalidNumber:"\u0E15\u0E31\u0E27\u0E40\u0E25\u0E02\u0E44\u0E21\u0E48\u0E16\u0E39\u0E01\u0E15\u0E49\u0E2D\u0E07",NewextarrowArg1:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E41\u0E23\u0E01\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E0A\u0E37\u0E48\u0E2D\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21",NewextarrowArg2:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E2A\u0E2D\u0E07\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E08\u0E33\u0E19\u0E27\u0E19\u0E40\u0E15\u0E47\u0E21\u0E2A\u0E2D\u0E07\u0E15\u0E31\u0E27\u0E04\u0E31\u0E48\u0E19\u0E14\u0E49\u0E27\u0E22\u0E40\u0E04\u0E23\u0E37\u0E48\u0E2D\u0E07\u0E2B\u0E21\u0E32\u0E22\u0E08\u0E38\u0E25\u0E20\u0E32\u0E04",NewextarrowArg3:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E2A\u0E32\u0E21\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E23\u0E2B\u0E31\u0E2A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E22\u0E39\u0E19\u0E34\u0E42\u0E04\u0E49\u0E14",NoClosingChar:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14 %1",IllegalControlSequenceName:"\u0E0A\u0E37\u0E48\u0E2D\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E1C\u0E34\u0E14\u0E01\u0E0E\u0E40\u0E01\u0E13\u0E11\u0E4C",IllegalParamNumber:"\u0E08\u0E33\u0E19\u0E27\u0E19\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E23\u0E30\u0E1A\u0E38\u0E43\u0E19 %1 \u0E1C\u0E34\u0E14\u0E01\u0E0E\u0E40\u0E01\u0E13\u0E11\u0E4C (\u0E02\u0E32\u0E14\u0E2B\u0E23\u0E37\u0E2D\u0E40\u0E01\u0E34\u0E19)",MissingCS:"%1 \u0E15\u0E49\u0E2D\u0E07\u0E15\u0E32\u0E21\u0E14\u0E49\u0E27\u0E22\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07\u0E04\u0E27\u0E1A\u0E04\u0E38\u0E21",CantUseHash2:"\u0E1E\u0E1A\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49 # \u0E0B\u0E36\u0E48\u0E07\u0E1C\u0E34\u0E14\u0E2B\u0E25\u0E31\u0E01\u0E40\u0E01\u0E13\u0E11\u0E4C\u0E43\u0E19\u0E41\u0E21\u0E48\u0E41\u0E1A\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",SequentialParam:"\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E15\u0E49\u0E2D\u0E07\u0E40\u0E23\u0E35\u0E22\u0E07\u0E40\u0E1B\u0E47\u0E19\u0E25\u0E33\u0E14\u0E31\u0E1A",MissingReplacementString:"\u0E44\u0E21\u0E48\u0E1E\u0E1A\u0E15\u0E31\u0E27\u0E41\u0E17\u0E19\u0E2A\u0E32\u0E22\u0E2D\u0E31\u0E01\u0E02\u0E23\u0E30\u0E43\u0E19\u0E19\u0E34\u0E22\u0E32\u0E21\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1",MismatchUseDef:"\u0E01\u0E32\u0E23\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1 \u0E44\u0E21\u0E48\u0E15\u0E23\u0E07\u0E01\u0E31\u0E1A\u0E19\u0E34\u0E22\u0E32\u0E21\u0E40\u0E14\u0E34\u0E21\u0E02\u0E2D\u0E07\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07",RunawayArgument:"\u0E21\u0E35\u0E2A\u0E48\u0E27\u0E19\u0E1B\u0E23\u0E30\u0E01\u0E2D\u0E1A\u0E17\u0E35\u0E48\u0E25\u0E30\u0E40\u0E27\u0E49\u0E19\u0E44\u0E27\u0E49\u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A\u0E04\u0E33\u0E2A\u0E31\u0E48\u0E07 %1?",NoClosingDelim:"\u0E44\u0E21\u0E48\u0E1E\u0E1A closing delimiter \u0E2A\u0E33\u0E2B\u0E23\u0E31\u0E1A %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/TeX.js");
diff --git a/localization/th/th.js b/localization/th/th.js
index b01744f820..4b5ae5d890 100644
--- a/localization/th/th.js
+++ b/localization/th/th.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/th/th.js
+ *  /MathJax-v2/localization/th/th.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("th",null,{menuTitle:"\u0E44\u0E17\u0E22",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",MathError:"\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",LoadFile:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14 %1",Loading:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14",LoadFailed:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1F\u0E49\u0E21\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25: %1",ProcessMath:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C: %1%%",Processing:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25",TypesetMath:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E40\u0E23\u0E35\u0E22\u0E07\u0E1E\u0E34\u0E21\u0E1E\u0E4C\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C: %1%%",Typesetting:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E40\u0E23\u0E35\u0E22\u0E07\u0E1E\u0E34\u0E21\u0E1E\u0E4C",MathJaxNotSupported:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E2A\u0E19\u0E31\u0E1A\u0E2A\u0E19\u0E38\u0E19 MathJax",ErrorTips:"\u0E02\u0E49\u0E2D\u0E41\u0E19\u0E30\u0E19\u0E33\u0E01\u0E32\u0E23\u0E41\u0E01\u0E49\u0E44\u0E02: \u0E43\u0E0A\u0E49 %%1 \u0E41\u0E25\u0E30\u0E15\u0E23\u0E27\u0E08\u0E2A\u0E2D\u0E1A %%2 \u0E43\u0E19\u0E04\u0E2D\u0E19\u0E42\u0E0B\u0E25\u0E02\u0E2D\u0E07\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/th.js");
+MathJax.Localization.addTranslation("th",null,{menuTitle:"\u0E44\u0E17\u0E22",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",MathError:"\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",LoadFile:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14 %1",Loading:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14",LoadFailed:"\u0E44\u0E21\u0E48\u0E2A\u0E32\u0E21\u0E32\u0E23\u0E16\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1F\u0E49\u0E21\u0E02\u0E49\u0E2D\u0E21\u0E39\u0E25: %1",ProcessMath:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C: %1%%",Processing:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25",TypesetMath:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E40\u0E23\u0E35\u0E22\u0E07\u0E1E\u0E34\u0E21\u0E1E\u0E4C\u0E1B\u0E23\u0E30\u0E42\u0E22\u0E04\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C: %1%%",Typesetting:"\u0E01\u0E33\u0E25\u0E31\u0E07\u0E40\u0E23\u0E35\u0E22\u0E07\u0E1E\u0E34\u0E21\u0E1E\u0E4C",MathJaxNotSupported:"\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19\u0E44\u0E21\u0E48\u0E2A\u0E19\u0E31\u0E1A\u0E2A\u0E19\u0E38\u0E19 MathJax",ErrorTips:"\u0E02\u0E49\u0E2D\u0E41\u0E19\u0E30\u0E19\u0E33\u0E01\u0E32\u0E23\u0E41\u0E01\u0E49\u0E44\u0E02: \u0E43\u0E0A\u0E49 %%1 \u0E41\u0E25\u0E30\u0E15\u0E23\u0E27\u0E08\u0E2A\u0E2D\u0E1A %%2 \u0E43\u0E19\u0E04\u0E2D\u0E19\u0E42\u0E0B\u0E25\u0E02\u0E2D\u0E07\u0E40\u0E1A\u0E23\u0E32\u0E27\u0E4C\u0E40\u0E0B\u0E2D\u0E23\u0E4C"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/th/th.js");
diff --git a/localization/tr/FontWarnings.js b/localization/tr/FontWarnings.js
index 0581c6bb3a..b524edcb91 100644
--- a/localization/tr/FontWarnings.js
+++ b/localization/tr/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/tr/FontWarnings.js
+ *  /MathJax-v2/localization/tr/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/FontWarnings.js");
+MathJax.Localization.addTranslation("tr","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/FontWarnings.js");
diff --git a/localization/tr/HTML-CSS.js b/localization/tr/HTML-CSS.js
index bd4b5cfea9..c639598c14 100644
--- a/localization/tr/HTML-CSS.js
+++ b/localization/tr/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/tr/HTML-CSS.js
+ *  /MathJax-v2/localization/tr/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/HTML-CSS.js");
+MathJax.Localization.addTranslation("tr","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/HTML-CSS.js");
diff --git a/localization/tr/HelpDialog.js b/localization/tr/HelpDialog.js
index de055d579f..6649e8bcb4 100644
--- a/localization/tr/HelpDialog.js
+++ b/localization/tr/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/tr/HelpDialog.js
+ *  /MathJax-v2/localization/tr/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/HelpDialog.js");
+MathJax.Localization.addTranslation("tr","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/HelpDialog.js");
diff --git a/localization/tr/MathML.js b/localization/tr/MathML.js
index 733c484278..423114e691 100644
--- a/localization/tr/MathML.js
+++ b/localization/tr/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/tr/MathML.js
+ *  /MathJax-v2/localization/tr/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr","MathML",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/MathML.js");
+MathJax.Localization.addTranslation("tr","MathML",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/MathML.js");
diff --git a/localization/tr/MathMenu.js b/localization/tr/MathMenu.js
index 4f0fc48dc2..0dd31d765a 100644
--- a/localization/tr/MathMenu.js
+++ b/localization/tr/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/tr/MathMenu.js
+ *  /MathJax-v2/localization/tr/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr","MathMenu",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/MathMenu.js");
+MathJax.Localization.addTranslation("tr","MathMenu",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/MathMenu.js");
diff --git a/localization/tr/TeX.js b/localization/tr/TeX.js
index 1f1c9b8180..7b7f93cdaa 100644
--- a/localization/tr/TeX.js
+++ b/localization/tr/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/tr/TeX.js
+ *  /MathJax-v2/localization/tr/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr","TeX",{version:"2.7.6",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/TeX.js");
+MathJax.Localization.addTranslation("tr","TeX",{version:"2.7.9",isLoaded:true,strings:{}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/TeX.js");
diff --git a/localization/tr/tr.js b/localization/tr/tr.js
index 20b275eee8..0644b7c7d4 100644
--- a/localization/tr/tr.js
+++ b/localization/tr/tr.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/tr/tr.js
+ *  /MathJax-v2/localization/tr/tr.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("tr",null,{menuTitle:"T\u00FCrk\u00E7e",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"Matematik i\u015Fleme hatas\u0131",MathError:"Matematik hatas\u0131",LoadFile:"%1 Y\u00FCkleniyor",Loading:"Y\u00FCkleniyor",LoadFailed:"Dosya y\u00FCklenemedi: %1",ProcessMath:"Matematik i\u015Fleme: %%%1",MathJaxNotSupported:"Taray\u0131c\u0131n\u0131z MathJax'i desteklemiyor"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/tr.js");
+MathJax.Localization.addTranslation("tr",null,{menuTitle:"T\u00FCrk\u00E7e",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"Matematik i\u015Fleme hatas\u0131",MathError:"Matematik hatas\u0131",LoadFile:"%1 Y\u00FCkleniyor",Loading:"Y\u00FCkleniyor",LoadFailed:"Dosya y\u00FCklenemedi: %1",ProcessMath:"Matematik i\u015Fleme: %%%1",MathJaxNotSupported:"Taray\u0131c\u0131n\u0131z MathJax'i desteklemiyor"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/tr/tr.js");
diff --git a/localization/uk/FontWarnings.js b/localization/uk/FontWarnings.js
index 8a30c8cc6a..905f93bd18 100644
--- a/localization/uk/FontWarnings.js
+++ b/localization/uk/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/uk/FontWarnings.js
+ *  /MathJax-v2/localization/uk/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456.  \u041F\u043E\u0442\u0440\u0456\u0431\u0435\u043D \u0447\u0430\u0441, \u0449\u043E\u0431 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438, \u0431\u043E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u043B\u0430\u0441\u044F \u0448\u0432\u0438\u0434\u0448\u0435, \u044F\u043A\u0431\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0431\u0435\u0437\u043F\u043E\u0441\u0435\u0440\u0435\u0434\u043D\u044C\u043E \u0432 \u0442\u0435\u0446\u0456 \u0432\u0430\u0448\u043E\u0433\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u043D\u043E\u0433\u043E \u0448\u0440\u0438\u0444\u0442\u0443.",imageFonts:"MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u043B\u0430\u0441\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C, \u0430 \u043D\u0435 \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 \u0430\u0431\u043E \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438. \u0426\u0435 \u0431\u0443\u0434\u0435 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438 \u043F\u043E\u0432\u0456\u043B\u044C\u043D\u0456\u0448\u0435, \u043D\u0456\u0436 \u0437\u0432\u0438\u0447\u0430\u0439\u043D\u043E, \u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043D\u0430\u0434\u0440\u0443\u043A\u0443\u0432\u0430\u0442\u0438 \u043D\u0430 \u043F\u0440\u0438\u043D\u0442\u0435\u0440\u0456 \u0437 \u0432\u0438\u0441\u043E\u043A\u043E\u044E \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0456\u0441\u0442\u044E.",noFonts:"MathJax \u043D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u0448\u0440\u0438\u0444\u0442, \u0449\u043E \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0441\u0438\u043C\u0432\u043E\u043B\u0456\u0432, \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043D\u0435 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0456, \u0442\u043E\u043C\u0443 \u043D\u0430\u043C \u0434\u043E\u0432\u0435\u043B\u043E\u0441\u044F \u043F\u043E\u0432\u0435\u0440\u043D\u0443\u0442\u0438\u0441\u044F \u043D\u0430 \u0437\u0430\u0433\u0430\u043B\u044C\u043D\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 Unicode \u0443 \u043D\u0430\u0434\u0456\u0457, \u0449\u043E \u0432\u0430\u0448 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 \u0437\u043C\u043E\u0436\u0435 \u0457\u0445 \u0432\u0456\u0440\u043D\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u0438. \u0414\u0435\u044F\u043A\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 \u043D\u0435 \u0431\u0443\u0434\u0443\u0442\u044C \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0456 \u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0456 \u043F\u043E\u0432\u043D\u0456\u0441\u0442\u044E \u043D\u0435 \u0432 \u0437\u043C\u043E\u0437\u0456 \u0431\u0443\u0434\u0443\u0442\u044C \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u0438\u0441\u044F.",webFonts:"\u0411\u0456\u043B\u044C\u0448\u0456\u0441\u0442\u044C \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456\u0432 \u0432 \u0434\u0430\u043D\u0438\u0439 \u0447\u0430\u0441 \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u0438, \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0443\u0432\u0430\u043D\u0456 \u0437 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443. \u041E\u043D\u043E\u0432\u0456\u0442\u044C \u0441\u0432\u0456\u0439 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 \u0434\u043E \u043E\u0441\u0442\u0430\u043D\u043D\u044C\u043E\u0457 \u0432\u0435\u0440\u0441\u0456\u0457 (\u0430\u0431\u043E \u043F\u0440\u043E\u0441\u0442\u043E \u0437\u0430\u043C\u0456\u043D\u0438\u0442\u0438 \u0432\u0430\u0448 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447) \u0434\u043B\u044F \u0442\u043E\u0433\u043E, \u0449\u043E\u0431 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 \u044F\u043A\u0456\u0441\u0442\u044C \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0441\u0438\u043C\u0432\u043E\u043B\u0456\u0432, \u044F\u043A\u0456 \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u044E\u0442\u044C\u0441\u044F \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456.",fonts:"MathJax \u043C\u043E\u0436\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0431\u0443\u0434\u044C-\u044F\u043A\u0438\u0439 \u0437  [STIX \u0448\u0440\u0438\u0444\u0442\u0456\u0432](%1)  \u0430\u0431\u043E [\u0448\u0440\u0438\u0444\u0442\u0456\u0432 MathJax-TeX](%2). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0456 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u043E\u0434\u0438\u043D \u0437 \u0446\u0438\u0445 \u0448\u0440\u0438\u0444\u0442\u0456\u0432, \u0430\u0431\u0438 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 MathJax \u0440\u043E\u0431\u043E\u0442\u0443.",STIXPage:"\u0426\u044F \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431\u0443\u043B\u0430 \u0440\u043E\u0437\u0440\u043E\u0431\u043B\u0435\u043D\u0430, \u0449\u043E\u0431 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 [STIX \u0448\u0440\u0438\u0444\u0442\u0438](%1). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0442\u0430 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u0457\u0445, \u0430\u0431\u0438 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 \u0432\u0430\u0448 \u0434\u043E\u0441\u0432\u0456\u0434 MathJax.",TeXPage:"\u0426\u044F \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431\u0443\u043B\u0430 \u0440\u043E\u0437\u0440\u043E\u0431\u043B\u0435\u043D\u0430, \u0449\u043E\u0431 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 [\u0448\u0440\u0438\u0444\u0442\u0438 MathJax TeX](%1). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0442\u0430 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u0457\u0445, \u0430\u0431\u0438 \u0437\u0431\u0456\u043B\u044C\u0448\u0438\u0442\u0438 \u0432\u0430\u0448 \u0434\u043E\u0441\u0432\u0456\u0434 \u0437 MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/FontWarnings.js");
+MathJax.Localization.addTranslation("uk","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456.  \u041F\u043E\u0442\u0440\u0456\u0431\u0435\u043D \u0447\u0430\u0441, \u0449\u043E\u0431 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438, \u0431\u043E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u043B\u0430\u0441\u044F \u0448\u0432\u0438\u0434\u0448\u0435, \u044F\u043A\u0431\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0431\u0435\u0437\u043F\u043E\u0441\u0435\u0440\u0435\u0434\u043D\u044C\u043E \u0432 \u0442\u0435\u0446\u0456 \u0432\u0430\u0448\u043E\u0433\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u043D\u043E\u0433\u043E \u0448\u0440\u0438\u0444\u0442\u0443.",imageFonts:"MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u043B\u0430\u0441\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C, \u0430 \u043D\u0435 \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 \u0430\u0431\u043E \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438. \u0426\u0435 \u0431\u0443\u0434\u0435 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438 \u043F\u043E\u0432\u0456\u043B\u044C\u043D\u0456\u0448\u0435, \u043D\u0456\u0436 \u0437\u0432\u0438\u0447\u0430\u0439\u043D\u043E, \u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043D\u0430\u0434\u0440\u0443\u043A\u0443\u0432\u0430\u0442\u0438 \u043D\u0430 \u043F\u0440\u0438\u043D\u0442\u0435\u0440\u0456 \u0437 \u0432\u0438\u0441\u043E\u043A\u043E\u044E \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0456\u0441\u0442\u044E.",noFonts:"MathJax \u043D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u0448\u0440\u0438\u0444\u0442, \u0449\u043E \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0441\u0438\u043C\u0432\u043E\u043B\u0456\u0432, \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043D\u0435 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0456, \u0442\u043E\u043C\u0443 \u043D\u0430\u043C \u0434\u043E\u0432\u0435\u043B\u043E\u0441\u044F \u043F\u043E\u0432\u0435\u0440\u043D\u0443\u0442\u0438\u0441\u044F \u043D\u0430 \u0437\u0430\u0433\u0430\u043B\u044C\u043D\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 Unicode \u0443 \u043D\u0430\u0434\u0456\u0457, \u0449\u043E \u0432\u0430\u0448 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 \u0437\u043C\u043E\u0436\u0435 \u0457\u0445 \u0432\u0456\u0440\u043D\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0437\u0438\u0442\u0438. \u0414\u0435\u044F\u043A\u0456 \u0441\u0438\u043C\u0432\u043E\u043B\u0438 \u043D\u0435 \u0431\u0443\u0434\u0443\u0442\u044C \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0456 \u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0456 \u043F\u043E\u0432\u043D\u0456\u0441\u0442\u044E \u043D\u0435 \u0432 \u0437\u043C\u043E\u0437\u0456 \u0431\u0443\u0434\u0443\u0442\u044C \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u0438\u0441\u044F.",webFonts:"\u0411\u0456\u043B\u044C\u0448\u0456\u0441\u0442\u044C \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456\u0432 \u0432 \u0434\u0430\u043D\u0438\u0439 \u0447\u0430\u0441 \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u044E\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u0438, \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0443\u0432\u0430\u043D\u0456 \u0437 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443. \u041E\u043D\u043E\u0432\u0456\u0442\u044C \u0441\u0432\u0456\u0439 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 \u0434\u043E \u043E\u0441\u0442\u0430\u043D\u043D\u044C\u043E\u0457 \u0432\u0435\u0440\u0441\u0456\u0457 (\u0430\u0431\u043E \u043F\u0440\u043E\u0441\u0442\u043E \u0437\u0430\u043C\u0456\u043D\u0438\u0442\u0438 \u0432\u0430\u0448 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447) \u0434\u043B\u044F \u0442\u043E\u0433\u043E, \u0449\u043E\u0431 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 \u044F\u043A\u0456\u0441\u0442\u044C \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0441\u0438\u043C\u0432\u043E\u043B\u0456\u0432, \u044F\u043A\u0456 \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u044E\u0442\u044C\u0441\u044F \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456.",fonts:"MathJax \u043C\u043E\u0436\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0431\u0443\u0434\u044C-\u044F\u043A\u0438\u0439 \u0437  [STIX \u0448\u0440\u0438\u0444\u0442\u0456\u0432](%1)  \u0430\u0431\u043E [\u0448\u0440\u0438\u0444\u0442\u0456\u0432 MathJax-TeX](%2). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0456 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u043E\u0434\u0438\u043D \u0437 \u0446\u0438\u0445 \u0448\u0440\u0438\u0444\u0442\u0456\u0432, \u0430\u0431\u0438 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 MathJax \u0440\u043E\u0431\u043E\u0442\u0443.",STIXPage:"\u0426\u044F \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431\u0443\u043B\u0430 \u0440\u043E\u0437\u0440\u043E\u0431\u043B\u0435\u043D\u0430, \u0449\u043E\u0431 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 [STIX \u0448\u0440\u0438\u0444\u0442\u0438](%1). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0442\u0430 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u0457\u0445, \u0430\u0431\u0438 \u043F\u043E\u043B\u0456\u043F\u0448\u0438\u0442\u0438 \u0432\u0430\u0448 \u0434\u043E\u0441\u0432\u0456\u0434 MathJax.",TeXPage:"\u0426\u044F \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431\u0443\u043B\u0430 \u0440\u043E\u0437\u0440\u043E\u0431\u043B\u0435\u043D\u0430, \u0449\u043E\u0431 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 [\u0448\u0440\u0438\u0444\u0442\u0438 MathJax TeX](%1). \u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0442\u0435 \u0442\u0430 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0456\u0442\u044C \u0457\u0445, \u0430\u0431\u0438 \u0437\u0431\u0456\u043B\u044C\u0448\u0438\u0442\u0438 \u0432\u0430\u0448 \u0434\u043E\u0441\u0432\u0456\u0434 \u0437 MathJax."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/FontWarnings.js");
diff --git a/localization/uk/HTML-CSS.js b/localization/uk/HTML-CSS.js
index d717398084..12a479ad30 100644
--- a/localization/uk/HTML-CSS.js
+++ b/localization/uk/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/uk/HTML-CSS.js
+ *  /MathJax-v2/localization/uk/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0456\u0432 %1",CantLoadWebFont:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0438 \u0437 \u0432\u0456\u0434\u0434\u0430\u043B\u0435\u043D\u043E\u0433\u043E \u0445\u043E\u0441\u0442\u0443",CantFindFontUsing:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 \u0448\u0440\u0438\u0444\u0442 \u0437\u0430 \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u043E\u044E %1",WebFontsNotAvailable:"\u0412\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0456. \u0421\u043B\u0456\u0434 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u0438 -\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/HTML-CSS.js");
+MathJax.Localization.addTranslation("uk","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0456\u0432 %1",CantLoadWebFont:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442 %1",FirefoxCantLoadWebFont:"Firefox \u043D\u0435 \u043C\u043E\u0436\u0435 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0438 \u0437 \u0432\u0456\u0434\u0434\u0430\u043B\u0435\u043D\u043E\u0433\u043E \u0445\u043E\u0441\u0442\u0443",CantFindFontUsing:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 \u0448\u0440\u0438\u0444\u0442 \u0437\u0430 \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u043E\u044E %1",WebFontsNotAvailable:"\u0412\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0456. \u0421\u043B\u0456\u0434 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0448\u0440\u0438\u0444\u0442\u0438 -\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F."}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/HTML-CSS.js");
diff --git a/localization/uk/HelpDialog.js b/localization/uk/HelpDialog.js
index 23b88fd1c3..8d7887df7a 100644
--- a/localization/uk/HelpDialog.js
+++ b/localization/uk/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/uk/HelpDialog.js
+ *  /MathJax-v2/localization/uk/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u0430",MathJax:"*MathJax* - \u0446\u0435 \u0431\u0456\u0431\u043B\u0456\u043E\u0442\u0435\u043A\u0430 \u043D\u0430 JavaScript, \u044F\u043A\u0430 \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0430\u0432\u0442\u043E\u0440\u0430\u043C \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0438 \u0432\u043A\u043B\u044E\u0447\u0438\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u043D\u0430 \u0432\u0441\u0456\u0445 \u0441\u0432\u043E\u0457\u0445 \u0432\u0435\u0431-\u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430\u0445. \u042F\u043A \u0447\u0438\u0442\u0430\u0447, \u0432\u0430\u043C \u043D\u0435 \u043F\u043E\u0442\u0440\u0456\u0431\u043D\u043E \u043D\u0456\u0447\u043E\u0433\u043E \u0440\u043E\u0431\u0438\u0442\u0438, \u0449\u043E\u0431 \u0446\u0435 \u0432\u0456\u0434\u0431\u0443\u043B\u043E\u0441\u044F.",Browsers:"*\u041F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456*: MathJax \u043F\u0440\u0430\u0446\u044E\u0454 \u0437 \u0443\u0441\u0456\u043C\u0430 \u0441\u0443\u0447\u0430\u0441\u043D\u0438\u043C\u0438 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430\u043C\u0438, \u0432\u043A\u043B\u044E\u0447\u0430\u044E\u0447\u0438 Internet Explorer 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0456 \u0431\u0456\u043B\u044C\u0448\u0456\u0441\u0442\u044C \u043C\u043E\u0431\u0456\u043B\u044C\u043D\u0438\u0445 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456\u0432.",Menu:"*\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0435 \u043C\u0435\u043D\u044E*: MathJax \u0434\u043E\u0434\u0430\u0454 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E \u0434\u043E \u0440\u0456\u0432\u043D\u044F\u043D\u044C.  \u041A\u043B\u0430\u0446\u0430\u043D\u043D\u044F \u043F\u0440\u0430\u0432\u043E\u044E \u043A\u043D\u043E\u043F\u043A\u043E\u044E \u043C\u0438\u0448\u0456 \u0430\u0431\u043E CTRL+\u043A\u043B\u0430\u0446\u0430\u043D\u043D\u044F \u043B\u0456\u0432\u043E\u044E \u043D\u0430 \u0431\u0443\u0434\u044C-\u044F\u043A\u043E\u043C\u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u043C\u0443 \u0432\u0438\u0440\u0430\u0437\u0456 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u0454 \u0434\u043E\u0441\u0442\u0443\u043F \u0434\u043E \u0446\u044C\u043E\u0433\u043E \u043C\u0435\u043D\u044E.",ShowMath:"*\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A* \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0432\u0430\u043C \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u043D\u0443\u0442\u0438 \u043E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0438\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u0438 \u0434\u043B\u044F \u043A\u043E\u043F\u0456\u044E\u0432\u0430\u043D\u043D\u044F \u0442\u0430 \u0432\u0441\u0442\u0430\u0432\u043A\u0438 (\u044F\u043A MathML \u0430\u0431\u043E \u0443 \u0457\u0457 \u0432\u043B\u0430\u0441\u043D\u043E\u043C\u0443 \u0444\u043E\u0440\u043C\u0430\u0442\u0456).",Settings:"*\u041D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F* \u0434\u0430\u044E\u0442\u044C \u0432\u0430\u043C \u043F\u043E\u0432\u043D\u0438\u0439 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u044C \u043D\u0430\u0434 \u0444\u0443\u043D\u043A\u0446\u0456\u044F\u043C\u0438  MathJax \u0442\u0430\u043A\u0438\u043C\u0438 \u044F\u043A \u0440\u043E\u0437\u043C\u0456\u0440 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0432\u0438\u0440\u0430\u0437\u0456\u0432 \u0456 \u043C\u0435\u0445\u0430\u043D\u0456\u0437\u043C, \u044F\u043A\u0438\u0439 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u0440\u0456\u0432\u043D\u044F\u043D\u044C.",Language:"*\u041C\u043E\u0432\u0430* \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0432\u0430\u043C \u0432\u0438\u0431\u0440\u0430\u0442\u0438 \u043C\u043E\u0432\u0443 \u0434\u043B\u044F \u043C\u0435\u043D\u044E \u0442\u0430 \u043F\u043E\u043F\u0435\u0440\u0435\u0434\u0436\u0435\u043D\u044C MathJax.",Zoom:"*\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438*: \u044F\u043A\u0449\u043E \u0443 \u0432\u0430\u0441 \u0432\u0438\u043D\u0438\u043A\u043B\u0438 \u043F\u0440\u043E\u0431\u043B\u0435\u043C\u0438 \u043F\u0440\u0438 \u0447\u0438\u0442\u0430\u043D\u043D\u0456 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F, MathJax \u043C\u043E\u0436\u0435 \u0437\u0431\u0456\u043B\u044C\u0448\u0438\u0442\u0438 \u0457\u0445, \u0449\u043E\u0431 \u0432\u0438 \u043C\u043E\u0433\u043B\u0438 \u043F\u043E\u0431\u0430\u0447\u0438\u0442\u0438 \u0457\u0445 \u043A\u0440\u0430\u0449\u0435.",Accessibilty:"*\u0414\u043E\u0441\u0442\u0443\u043F\u043D\u0456\u0441\u0442\u044C*: MathJax \u0431\u0443\u0434\u0435 \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E \u043F\u0440\u0430\u0446\u044E\u0432\u0430\u0442\u0438 \u0437 \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u0430\u043C\u0438 \u0447\u0438\u0442\u0430\u043D\u043D\u044F \u0435\u043A\u0440\u0430\u043D\u0443, \u0430\u0431\u0438 \u0437\u0440\u043E\u0431\u0438\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E\u044E \u0434\u043B\u044F \u043D\u0435\u0437\u0440\u044F\u0447\u0438\u0445.",Fonts:"*\u0428\u0440\u0438\u0444\u0442\u0438*: MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0441\u043F\u0435\u0446\u0456\u0430\u043B\u044C\u043D\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438, \u044F\u043A\u0449\u043E \u0432\u043E\u043D\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u043D\u0430 \u0432\u0430\u0448\u043E\u043C\u0443 \u043A\u043E\u043C\u043F'\u044E\u0442\u0435\u0440\u0456. \u0412 \u0456\u043D\u0448\u043E\u043C\u0443 \u0432\u0438\u043F\u0430\u0434\u043A\u0443 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438. \u0425\u043E\u0447\u0430 \u0446\u0435 \u0456 \u043D\u0435 \u0454 \u043E\u0431\u043E\u0432'\u044F\u0437\u043A\u043E\u0432\u0438\u043C,  \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u043F\u0440\u0438\u0441\u043A\u043E\u0440\u044F\u0442\u044C \u0432\u0435\u0440\u0441\u0442\u043A\u0443. \u041C\u0438 \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0454\u043C\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0438 [STIX-\u0448\u0440\u0438\u0444\u0442\u0438](%1).",CloseDialog:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438 \u0434\u0456\u0430\u043B\u043E\u0433 \u0434\u043E\u0432\u0456\u0434\u043A\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/HelpDialog.js");
+MathJax.Localization.addTranslation("uk","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"MathJax \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u0430",MathJax:"*MathJax* - \u0446\u0435 \u0431\u0456\u0431\u043B\u0456\u043E\u0442\u0435\u043A\u0430 \u043D\u0430 JavaScript, \u044F\u043A\u0430 \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0430\u0432\u0442\u043E\u0440\u0430\u043C \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0438 \u0432\u043A\u043B\u044E\u0447\u0438\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u043D\u0430 \u0432\u0441\u0456\u0445 \u0441\u0432\u043E\u0457\u0445 \u0432\u0435\u0431-\u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430\u0445. \u042F\u043A \u0447\u0438\u0442\u0430\u0447, \u0432\u0430\u043C \u043D\u0435 \u043F\u043E\u0442\u0440\u0456\u0431\u043D\u043E \u043D\u0456\u0447\u043E\u0433\u043E \u0440\u043E\u0431\u0438\u0442\u0438, \u0449\u043E\u0431 \u0446\u0435 \u0432\u0456\u0434\u0431\u0443\u043B\u043E\u0441\u044F.",Browsers:"*\u041F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456*: MathJax \u043F\u0440\u0430\u0446\u044E\u0454 \u0437 \u0443\u0441\u0456\u043C\u0430 \u0441\u0443\u0447\u0430\u0441\u043D\u0438\u043C\u0438 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430\u043C\u0438, \u0432\u043A\u043B\u044E\u0447\u0430\u044E\u0447\u0438 Internet Explorer 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+ \u0456 \u0431\u0456\u043B\u044C\u0448\u0456\u0441\u0442\u044C \u043C\u043E\u0431\u0456\u043B\u044C\u043D\u0438\u0445 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456\u0432.",Menu:"*\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0435 \u043C\u0435\u043D\u044E*: MathJax \u0434\u043E\u0434\u0430\u0454 \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E \u0434\u043E \u0440\u0456\u0432\u043D\u044F\u043D\u044C.  \u041A\u043B\u0430\u0446\u0430\u043D\u043D\u044F \u043F\u0440\u0430\u0432\u043E\u044E \u043A\u043D\u043E\u043F\u043A\u043E\u044E \u043C\u0438\u0448\u0456 \u0430\u0431\u043E CTRL+\u043A\u043B\u0430\u0446\u0430\u043D\u043D\u044F \u043B\u0456\u0432\u043E\u044E \u043D\u0430 \u0431\u0443\u0434\u044C-\u044F\u043A\u043E\u043C\u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u043C\u0443 \u0432\u0438\u0440\u0430\u0437\u0456 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u0454 \u0434\u043E\u0441\u0442\u0443\u043F \u0434\u043E \u0446\u044C\u043E\u0433\u043E \u043C\u0435\u043D\u044E.",ShowMath:"*\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A* \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0432\u0430\u043C \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u043D\u0443\u0442\u0438 \u043E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0438\u0439 \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u0438 \u0434\u043B\u044F \u043A\u043E\u043F\u0456\u044E\u0432\u0430\u043D\u043D\u044F \u0442\u0430 \u0432\u0441\u0442\u0430\u0432\u043A\u0438 (\u044F\u043A MathML \u0430\u0431\u043E \u0443 \u0457\u0457 \u0432\u043B\u0430\u0441\u043D\u043E\u043C\u0443 \u0444\u043E\u0440\u043C\u0430\u0442\u0456).",Settings:"*\u041D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F* \u0434\u0430\u044E\u0442\u044C \u0432\u0430\u043C \u043F\u043E\u0432\u043D\u0438\u0439 \u043A\u043E\u043D\u0442\u0440\u043E\u043B\u044C \u043D\u0430\u0434 \u0444\u0443\u043D\u043A\u0446\u0456\u044F\u043C\u0438  MathJax \u0442\u0430\u043A\u0438\u043C\u0438 \u044F\u043A \u0440\u043E\u0437\u043C\u0456\u0440 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0438\u0445 \u0432\u0438\u0440\u0430\u0437\u0456\u0432 \u0456 \u043C\u0435\u0445\u0430\u043D\u0456\u0437\u043C, \u044F\u043A\u0438\u0439 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454\u0442\u044C\u0441\u044F \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u0440\u0456\u0432\u043D\u044F\u043D\u044C.",Language:"*\u041C\u043E\u0432\u0430* \u0434\u043E\u0437\u0432\u043E\u043B\u044F\u0454 \u0432\u0430\u043C \u0432\u0438\u0431\u0440\u0430\u0442\u0438 \u043C\u043E\u0432\u0443 \u0434\u043B\u044F \u043C\u0435\u043D\u044E \u0442\u0430 \u043F\u043E\u043F\u0435\u0440\u0435\u0434\u0436\u0435\u043D\u044C MathJax.",Zoom:"*\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438*: \u044F\u043A\u0449\u043E \u0443 \u0432\u0430\u0441 \u0432\u0438\u043D\u0438\u043A\u043B\u0438 \u043F\u0440\u043E\u0431\u043B\u0435\u043C\u0438 \u043F\u0440\u0438 \u0447\u0438\u0442\u0430\u043D\u043D\u0456 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F, MathJax \u043C\u043E\u0436\u0435 \u0437\u0431\u0456\u043B\u044C\u0448\u0438\u0442\u0438 \u0457\u0445, \u0449\u043E\u0431 \u0432\u0438 \u043C\u043E\u0433\u043B\u0438 \u043F\u043E\u0431\u0430\u0447\u0438\u0442\u0438 \u0457\u0445 \u043A\u0440\u0430\u0449\u0435.",Accessibilty:"*\u0414\u043E\u0441\u0442\u0443\u043F\u043D\u0456\u0441\u0442\u044C*: MathJax \u0431\u0443\u0434\u0435 \u0430\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E \u043F\u0440\u0430\u0446\u044E\u0432\u0430\u0442\u0438 \u0437 \u043F\u0440\u043E\u0433\u0440\u0430\u043C\u0430\u043C\u0438 \u0447\u0438\u0442\u0430\u043D\u043D\u044F \u0435\u043A\u0440\u0430\u043D\u0443, \u0430\u0431\u0438 \u0437\u0440\u043E\u0431\u0438\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u043E\u044E \u0434\u043B\u044F \u043D\u0435\u0437\u0440\u044F\u0447\u0438\u0445.",Fonts:"*\u0428\u0440\u0438\u0444\u0442\u0438*: MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0441\u043F\u0435\u0446\u0456\u0430\u043B\u044C\u043D\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438, \u044F\u043A\u0449\u043E \u0432\u043E\u043D\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u043D\u0430 \u0432\u0430\u0448\u043E\u043C\u0443 \u043A\u043E\u043C\u043F'\u044E\u0442\u0435\u0440\u0456. \u0412 \u0456\u043D\u0448\u043E\u043C\u0443 \u0432\u0438\u043F\u0430\u0434\u043A\u0443 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438. \u0425\u043E\u0447\u0430 \u0446\u0435 \u0456 \u043D\u0435 \u0454 \u043E\u0431\u043E\u0432'\u044F\u0437\u043A\u043E\u0432\u0438\u043C,  \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u043F\u0440\u0438\u0441\u043A\u043E\u0440\u044F\u0442\u044C \u0432\u0435\u0440\u0441\u0442\u043A\u0443. \u041C\u0438 \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0454\u043C\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0438 [STIX-\u0448\u0440\u0438\u0444\u0442\u0438](%1).",CloseDialog:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438 \u0434\u0456\u0430\u043B\u043E\u0433 \u0434\u043E\u0432\u0456\u0434\u043A\u0438"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/HelpDialog.js");
diff --git a/localization/uk/MathML.js b/localization/uk/MathML.js
index b1b9be2a3b..cf3a12ae6d 100644
--- a/localization/uk/MathML.js
+++ b/localization/uk/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/uk/MathML.js
+ *  /MathJax-v2/localization/uk/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 mglyph: %1",BadMglyphFont:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 \u0448\u0440\u0438\u0444\u0442:%1",MathPlayer:'MathJax \u0431\u0443\u0432 \u043D\u0435 \u0443 \u0437\u043C\u043E\u0437\u0456 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u0442\u0438 MathPlayer.\n\n\u042F\u043A\u0449\u043E MathPlayer \u043D\u0435 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u043E\u200B\u200B, \u043D\u0435\u043E\u0431\u0445\u0456\u0434\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0438 \u0439\u043E\u0433\u043E. \u0412 \u0456\u043D\u0448\u043E\u043C\u0443 \u0432\u0438\u043F\u0430\u0434\u043A\u0443, \u0432\u0430\u0448\u0456 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u0431\u0435\u0437\u043F\u0435\u043A\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u0431\u043B\u043E\u043A\u0443\u0432\u0430\u0442\u0438 \u0443\u043F\u0440\u0430\u0432\u043B\u0456\u043D\u043D\u044F ActiveX \u043F\u0440\u0438 \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u043F\u0443\u043D\u043A\u0442 \u0412\u043B\u0430\u0441\u0442\u0438\u0432\u043E\u0441\u0442\u0456 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443 \u0443 \u043C\u0435\u043D\u044E \u0406\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u0438 \u0456 \u0432\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u0411\u0435\u0437\u043F\u0435\u043A\u0430, \u0430 \u043F\u043E\u0442\u0456\u043C \u043D\u0430\u0442\u0438\u0441\u043D\u0456\u0442\u044C \u043A\u043D\u043E\u043F\u043A\u0443 \u0412\u043B\u0430\u0441\u043D\u0438\u0439 \u0440\u0456\u0432\u0435\u043D\u044C. \u041F\u0435\u0440\u0435\u043A\u043E\u043D\u0430\u0439\u0442\u0435\u0441\u044F, \u0449\u043E \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u0434\u043B\u044F "\u0417\u0430\u043F\u0443\u0441\u043A \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0456\u0432 ActiveX" \u0456 "\u0414\u0432\u0456\u0439\u043A\u043E\u0432\u0456 \u043A\u043E\u0434\u0438 \u0456 \u0441\u0446\u0435\u043D\u0430\u0440\u0456\u0457 \u043F\u043E\u0432\u0435\u0434\u0456\u043D\u043A\u0438"\n\u0432\u043A\u043B\u044E\u0447\u0435\u043D\u0456.\n\n\u0412 \u0434\u0430\u043D\u0438\u0439 \u0447\u0430\u0441 \u0432\u0438 \u043F\u043E\u0431\u0430\u0447\u0438\u0442\u0435 \u043F\u043E\u0432\u0456\u0434\u043E\u043C\u043B\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043F\u043E\u043C\u0438\u043B\u043A\u0443, \u0430 \u043D\u0435\n\u043D\u0430\u0431\u0440\u0430\u043D\u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443.',CantCreateXMLParser:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0441\u0442\u0432\u043E\u0440\u0438\u0442\u0438 \u0441\u0438\u043D\u0442\u0430\u043A\u0441\u0438\u0447\u043D\u0438\u0439 \u0430\u043D\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440 XML \u0434\u043B\u044F MathML. \u041F\u0435\u0440\u0435\u043A\u043E\u043D\u0430\u0439\u0442\u0435\u0441\u044F, \u0449\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u201E\u0421\u0446\u0435\u043D\u0430\u0440\u0456\u0457 ActiveX \u043F\u043E\u0437\u043D\u0430\u0447\u0435\u043D\u0456 \u044F\u043A \u0431\u0435\u0437\u043F\u0435\u0447\u043D\u0456 \u0434\u043B\u044F \u0432\u0438\u043A\u043E\u043D\u0430\u043D\u043D\u044F \u0441\u0446\u0435\u043D\u0430\u0440\u0456\u0457\u0432 \u0431\u0435\u0437\u043F\u0435\u043A\u0438\u201C\n \u0443\u0432\u0456\u043C\u043A\u043D\u0435\u043D\u0438\u0439 (\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u043F\u0443\u043D\u043A\u0442 \u0412\u043B\u0430\u0441\u0442\u0438\u0432\u043E\u0441\u0442\u0456 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443 \u0432 \u043C\u0435\u043D\u044E \u0406\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u0438 \u0456 \u0432\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u043F\u0430\u043D\u0435\u043B\u044C \u0411\u0435\u0437\u043F\u0435\u043A\u0430, \u043F\u043E\u0442\u0456\u043C \u043D\u0430\u0442\u0438\u0441\u043D\u0456\u0442\u044C \u043A\u043D\u043E\u043F\u043A\u0443 \u0412\u043B\u0430\u0441\u043D\u0438\u0439 \u0440\u0456\u0432\u0435\u043D\u044C, \u0449\u043E\u0431 \u0432\u0456\u0434\u043C\u0456\u0442\u0438\u0442\u0438 \u0446\u0435).\n\nMathML \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F \u043D\u0435 \u0437\u043C\u043E\u0436\u0443\u0442\u044C \u0431\u0443\u0442\u0438 \u043E\u0431\u0440\u043E\u0431\u043B\u0435\u043D\u0456 MathJax.",UnknownNodeType:"\u041D\u0435\u0432\u0456\u0434\u043E\u043C\u0438\u0439 \u0442\u0438\u043F \u0432\u0443\u0437\u043B\u0430: %1",UnexpectedTextNode:"\u041D\u0435\u043F\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0435\u043D\u0438\u0439 \u0442\u0435\u043A\u0441\u0442\u043E\u0432\u0438\u0439 \u0432\u0443\u0437\u043E\u043B: %1",ErrorParsingMathML:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u0430\u043D\u0430\u043B\u0456\u0437\u0443 MathML",ParsingError:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u0430\u043D\u0430\u043B\u0456\u0437\u0443 MathML: %1",MathMLSingleElement:"MathML \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0441\u0444\u043E\u0440\u043C\u043E\u0432\u0430\u043D\u0438\u0439 \u043E\u0434\u043D\u0438\u043C \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C",MathMLRootElement:"MathML \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0441\u0444\u043E\u0440\u043C\u043E\u0432\u0430\u043D\u0438\u0439 \u003Cmath\u003E \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C, \u0430 \u043D\u0435 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/MathML.js");
+MathJax.Localization.addTranslation("uk","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 mglyph: %1",BadMglyphFont:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 \u0448\u0440\u0438\u0444\u0442:%1",MathPlayer:'MathJax \u0431\u0443\u0432 \u043D\u0435 \u0443 \u0437\u043C\u043E\u0437\u0456 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u0442\u0438 MathPlayer.\n\n\u042F\u043A\u0449\u043E MathPlayer \u043D\u0435 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u043E\u200B\u200B, \u043D\u0435\u043E\u0431\u0445\u0456\u0434\u043D\u043E \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u0438 \u0439\u043E\u0433\u043E. \u0412 \u0456\u043D\u0448\u043E\u043C\u0443 \u0432\u0438\u043F\u0430\u0434\u043A\u0443, \u0432\u0430\u0448\u0456 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u0431\u0435\u0437\u043F\u0435\u043A\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u0431\u043B\u043E\u043A\u0443\u0432\u0430\u0442\u0438 \u0443\u043F\u0440\u0430\u0432\u043B\u0456\u043D\u043D\u044F ActiveX \u043F\u0440\u0438 \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u043F\u0443\u043D\u043A\u0442 \u0412\u043B\u0430\u0441\u0442\u0438\u0432\u043E\u0441\u0442\u0456 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443 \u0443 \u043C\u0435\u043D\u044E \u0406\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u0438 \u0456 \u0432\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u0432\u043A\u043B\u0430\u0434\u043A\u0443 \u0411\u0435\u0437\u043F\u0435\u043A\u0430, \u0430 \u043F\u043E\u0442\u0456\u043C \u043D\u0430\u0442\u0438\u0441\u043D\u0456\u0442\u044C \u043A\u043D\u043E\u043F\u043A\u0443 \u0412\u043B\u0430\u0441\u043D\u0438\u0439 \u0440\u0456\u0432\u0435\u043D\u044C. \u041F\u0435\u0440\u0435\u043A\u043E\u043D\u0430\u0439\u0442\u0435\u0441\u044F, \u0449\u043E \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u0434\u043B\u044F "\u0417\u0430\u043F\u0443\u0441\u043A \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0456\u0432 ActiveX" \u0456 "\u0414\u0432\u0456\u0439\u043A\u043E\u0432\u0456 \u043A\u043E\u0434\u0438 \u0456 \u0441\u0446\u0435\u043D\u0430\u0440\u0456\u0457 \u043F\u043E\u0432\u0435\u0434\u0456\u043D\u043A\u0438"\n\u0432\u043A\u043B\u044E\u0447\u0435\u043D\u0456.\n\n\u0412 \u0434\u0430\u043D\u0438\u0439 \u0447\u0430\u0441 \u0432\u0438 \u043F\u043E\u0431\u0430\u0447\u0438\u0442\u0435 \u043F\u043E\u0432\u0456\u0434\u043E\u043C\u043B\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043F\u043E\u043C\u0438\u043B\u043A\u0443, \u0430 \u043D\u0435\n\u043D\u0430\u0431\u0440\u0430\u043D\u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443.',CantCreateXMLParser:"MathJax \u043D\u0435 \u043C\u043E\u0436\u0435 \u0441\u0442\u0432\u043E\u0440\u0438\u0442\u0438 \u0441\u0438\u043D\u0442\u0430\u043A\u0441\u0438\u0447\u043D\u0438\u0439 \u0430\u043D\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440 XML \u0434\u043B\u044F MathML. \u041F\u0435\u0440\u0435\u043A\u043E\u043D\u0430\u0439\u0442\u0435\u0441\u044F, \u0449\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u201E\u0421\u0446\u0435\u043D\u0430\u0440\u0456\u0457 ActiveX \u043F\u043E\u0437\u043D\u0430\u0447\u0435\u043D\u0456 \u044F\u043A \u0431\u0435\u0437\u043F\u0435\u0447\u043D\u0456 \u0434\u043B\u044F \u0432\u0438\u043A\u043E\u043D\u0430\u043D\u043D\u044F \u0441\u0446\u0435\u043D\u0430\u0440\u0456\u0457\u0432 \u0431\u0435\u0437\u043F\u0435\u043A\u0438\u201C\n \u0443\u0432\u0456\u043C\u043A\u043D\u0435\u043D\u0438\u0439 (\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u043F\u0443\u043D\u043A\u0442 \u0412\u043B\u0430\u0441\u0442\u0438\u0432\u043E\u0441\u0442\u0456 \u0456\u043D\u0442\u0435\u0440\u043D\u0435\u0442\u0443 \u0432 \u043C\u0435\u043D\u044E \u0406\u043D\u0441\u0442\u0440\u0443\u043C\u0435\u043D\u0442\u0438 \u0456 \u0432\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u043F\u0430\u043D\u0435\u043B\u044C \u0411\u0435\u0437\u043F\u0435\u043A\u0430, \u043F\u043E\u0442\u0456\u043C \u043D\u0430\u0442\u0438\u0441\u043D\u0456\u0442\u044C \u043A\u043D\u043E\u043F\u043A\u0443 \u0412\u043B\u0430\u0441\u043D\u0438\u0439 \u0440\u0456\u0432\u0435\u043D\u044C, \u0449\u043E\u0431 \u0432\u0456\u0434\u043C\u0456\u0442\u0438\u0442\u0438 \u0446\u0435).\n\nMathML \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F \u043D\u0435 \u0437\u043C\u043E\u0436\u0443\u0442\u044C \u0431\u0443\u0442\u0438 \u043E\u0431\u0440\u043E\u0431\u043B\u0435\u043D\u0456 MathJax.",UnknownNodeType:"\u041D\u0435\u0432\u0456\u0434\u043E\u043C\u0438\u0439 \u0442\u0438\u043F \u0432\u0443\u0437\u043B\u0430: %1",UnexpectedTextNode:"\u041D\u0435\u043F\u0435\u0440\u0435\u0434\u0431\u0430\u0447\u0435\u043D\u0438\u0439 \u0442\u0435\u043A\u0441\u0442\u043E\u0432\u0438\u0439 \u0432\u0443\u0437\u043E\u043B: %1",ErrorParsingMathML:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u0430\u043D\u0430\u043B\u0456\u0437\u0443 MathML",ParsingError:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u0430\u043D\u0430\u043B\u0456\u0437\u0443 MathML: %1",MathMLSingleElement:"MathML \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0441\u0444\u043E\u0440\u043C\u043E\u0432\u0430\u043D\u0438\u0439 \u043E\u0434\u043D\u0438\u043C \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C",MathMLRootElement:"MathML \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0441\u0444\u043E\u0440\u043C\u043E\u0432\u0430\u043D\u0438\u0439 \u003Cmath\u003E \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C, \u0430 \u043D\u0435 %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/MathML.js");
diff --git a/localization/uk/MathMenu.js b/localization/uk/MathMenu.js
index 2876d1dd81..d3bef9c2b3 100644
--- a/localization/uk/MathMenu.js
+++ b/localization/uk/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/uk/MathMenu.js
+ *  /MathJax-v2/localization/uk/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0437\u0443\u0432\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A",MathMLcode:"\u041A\u043E\u0434 MathML",OriginalMathML:"\u041E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0438\u0439 MathML",TeXCommands:"\u041A\u043E\u043C\u0430\u043D\u0434\u0438 TeX",AsciiMathInput:"\u0412\u0432\u0456\u0434 AsciiMathML",Original:"\u041E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0430 \u0444\u043E\u0440\u043C\u0430",ErrorMessage:"\u041F\u043E\u0432\u0456\u0434\u043E\u043C\u043B\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043F\u043E\u043C\u0438\u043B\u043A\u0443",Annotation:"\u0410\u043D\u043E\u0442\u0430\u0446\u0456\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0417\u043C\u0456\u0441\u0442 MathML",OpenMath:"OpenMath",texHints:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u0438 \u043F\u043E\u0440\u0430\u0434\u0438 TeX \u0432 MathML",Settings:"\u041D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",ZoomTrigger:"\u041F\u0443\u0441\u043A \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443",Hover:"\u041F\u0456\u0434\u043D\u0435\u0441\u0435\u043D\u043D\u044F \u043A\u0443\u0440\u0441\u043E\u0440\u0430",Click:"\u041A\u043B\u0456\u043A",DoubleClick:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u043A\u043B\u0456\u043A",NoZoom:"\u0411\u0435\u0437 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F",TriggerRequires:"\u041D\u0435\u043E\u0431\u0445\u0456\u0434\u043D\u0456 \u043A\u043B\u044E\u0447\u0456:",Option:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440",Alt:"Alt",Command:"\u041A\u043E\u043C\u0430\u043D\u0434\u0430",Control:"\u041A\u0435\u0440\u0443\u0432\u0430\u043D\u043D\u044F",Shift:"Shift",ZoomFactor:"\u041C\u043D\u043E\u0436\u043D\u0438\u043A \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F",Renderer:"\u0412\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0446\u0456\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",MPHandles:"MathPlayer \u043E\u043F\u0440\u0430\u0446\u044C\u043E\u0432\u0443\u0454:",MenuEvents:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0435\u043D\u044E",MouseEvents:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0438\u0448\u043A\u0438",MenuAndMouse:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0435\u043D\u044E \u0456 \u043C\u0438\u0448\u043A\u0438",FontPrefs:"\u0423\u0441\u0442\u0430\u043D\u043E\u0432\u043A\u0438 \u0448\u0442\u0440\u0438\u0444\u0442\u0443",ForHTMLCSS:"\u0414\u043B\u044F HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439)",TeXWeb:"TeX (\u0432\u0435\u0431)",TeXImage:"TeX (\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439)",STIXWeb:"STIX (\u0432\u0435\u0431)",AsanaMathWeb:"Asana Math (\u0432\u0435\u0431)",GyrePagellaWeb:"Gyre Pagella (\u0432\u0435\u0431)",GyreTermesWeb:"Gyre Termes (\u0432\u0435\u0431)",LatinModernWeb:"Latin Modern (\u0432\u0435\u0431)",NeoEulerWeb:"Neo Euler (\u0432\u0435\u0431)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E",Browser:"\u041E\u0433\u043B\u044F\u0434",Scale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u0442\u0438 \u0443\u0441\u044E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443\u2026",Discoverable:"\u041F\u0456\u0434\u0441\u0432\u0456\u0442\u043A\u0430 \u043F\u0440\u0438 \u043D\u0430\u0432\u0435\u0434\u0435\u043D\u043D\u0456",Locale:"\u041C\u043E\u0432\u0430",LoadLocale:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0437 URL...",About:"\u041F\u0440\u043E MathJax",Help:"\u0414\u043E\u043F\u043E\u043C\u043E\u0433\u0430 MathJax",localTeXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 TeX",webTeXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 TeX",imagefonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C",localSTIXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 STIX-\u0448\u0440\u0438\u0444\u0442\u0438",webSVGfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 SVG \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438",genericfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 \u0437\u0433\u0435\u043D\u0435\u0440\u043E\u0432\u0430\u043D\u0456 \u044E\u043D\u0456\u043A\u043E\u0434\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438",wofforotffonts:"\u0448\u0440\u0438\u0444\u0442\u0438 woff \u0430\u0431\u043E otf",eotffonts:"\u0448\u0440\u0438\u0444\u0442\u0438 eot",svgfonts:"\u0448\u0440\u0438\u0444\u0442\u0438 svg",WebkitNativeMMLWarning:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u0443\u0454 MathML, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u0432\u0438\u0432\u043E\u0434\u0443 \u0434\u043E MathML \u043C\u043E\u0436\u0435 \u043F\u0440\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0449\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456 \u0441\u0442\u0430\u043D\u0435 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043F\u0440\u043E\u0447\u0438\u0442\u0430\u0442\u0438.",MSIENativeMMLWarning:"\u0412\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 Internet Explorer \u043F\u043E\u0442\u0440\u0435\u0431\u0443\u0454 \u043C\u043E\u0434\u0443\u043B\u044C MathPlayer \u0434\u043B\u044F \u043E\u0431\u0440\u043E\u0431\u043A\u0438 \u0432\u0438\u0432\u043E\u0434\u0443 MathML.",OperaNativeMMLWarning:"\u041E\u0431\u043C\u0435\u0436\u0435\u043D\u0430 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u043A\u0430 MathML \u0432 Opera, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u0432\u0438\u0432\u043E\u0434\u0443 \u043D\u0430 MathML \u043C\u043E\u0436\u0443\u0442\u044C \u0432\u0438\u043A\u043B\u0438\u043A\u0430\u0442\u0438, \u0449\u043E \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043F\u043E\u0433\u0430\u043D\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u0438\u043C\u0443\u0442\u044C\u0441\u044F.",SafariNativeMMLWarning:"MathML \u0432\u0430\u0448\u043E\u0433\u043E \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430 \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u0443\u0454 \u0432\u0441\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u044F\u043A\u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F MathJax. \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438\u0441\u044F.",FirefoxNativeMMLWarning:"MathML \u0432\u0430\u0448\u043E\u0433\u043E \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430 \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u0443\u0454 \u0432\u0441\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u044F\u043A\u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F MathJax. \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438\u0441\u044F.",MSIESVGWarning:"SVG \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u043E\u0432\u0430\u043D\u043E \u0443 \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456 Internet Explorer \u0432\u0435\u0440\u0441\u0456\u0457 9 \u0430\u0431\u043E \u0435\u043C\u0443\u043B\u044E\u0454\u0442\u044C\u0441\u044F \u0432 IE8 \u0430\u0431\u043E \u043D\u0438\u0436\u0447\u0435, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u043D\u0430 \u0432\u0438\u0432\u0456\u0434 SVG \u043C\u043E\u0436\u0435 \u043F\u0440\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0449\u043E \u0446\u044E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0443 \u0441\u0442\u0430\u043D\u0435 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043F\u0440\u043E\u0447\u0438\u0442\u0430\u0442\u0438.",LoadURL:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0434\u0430\u043D\u0456 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0443 \u0437 \u0446\u044C\u043E\u0433\u043E URL:",BadURL:'URL-\u0430\u0434\u0440\u0435\u0441\u0430 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0434\u043B\u044F JavaScript \u0444\u0430\u0439\u043B\u0443, \u044F\u043A\u0438\u0439 \u0432\u0438\u0437\u043D\u0430\u0447\u0430\u0454 MathJax \u0434\u0430\u043D\u0456 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0443. \u0406\u043C\'\u044F \u0444\u0430\u0439\u043B\u0443 JavaScript \u043F\u043E\u0432\u0438\u043D\u043D\u043E \u0437\u0430\u043A\u0456\u043D\u0447\u0443\u0432\u0430\u0442\u0438\u0441\u044F \u043D\u0430 ".js"',BadData:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0438 \u0437 %1",SwitchAnyway:"\u0417\u043C\u0456\u043D\u0438\u0442\u0438 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440?\n\n(\u0412\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u0413\u0430\u0440\u0430\u0437\u0434, \u0449\u043E\u0431 \u0437\u043C\u0456\u043D\u0438\u0442\u0438, \u0430\u0431\u043E \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u0434\u043B\u044F \u043F\u0440\u043E\u0434\u043E\u0432\u0436\u0435\u043D\u043D\u044F \u043F\u043E\u0442\u043E\u0447\u043D\u043E\u0433\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440\u0430)",ScaleMath:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u0442\u0438 \u0432\u0441\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 (\u0443 \u043F\u043E\u0440\u0456\u0432\u043D\u044F\u043D\u043D\u0456 \u0437 \u043E\u0442\u043E\u0447\u0443\u044E\u0447\u0438\u043C \u0442\u0435\u043A\u0441\u0442\u043E\u043C)",NonZeroScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u043D\u0435 \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u043D\u0443\u043B\u0435\u043C",PercentScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0443 \u0432\u0456\u0434\u0441\u043E\u0442\u043A\u0430\u0445 (\u043D\u0430\u043F\u0440\u0438\u043A\u043B\u0430\u0434, 120%%)",IE8warning:"\u0426\u0435 \u0432\u0438\u043C\u0438\u043A\u0430\u0454 MathJax \u043C\u0435\u043D\u044E \u0442\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u0457 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F, \u0430\u043B\u0435 \u0432\u0438 \u043C\u043E\u0436\u0435\u0442\u0435 \u0443\u0442\u0440\u0438\u043C\u0443\u0432\u0430\u0442\u0438 ALT \u043F\u0456\u0434 \u0447\u0430\u0441 \u043A\u043B\u0456\u043A\u0456\u0432 \u043C\u0438\u0448\u0456 \u043D\u0430 \u0432\u0438\u0440\u0430\u0437\u0456 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u043D\u044F \u043D\u0430\u0442\u043E\u043C\u0456\u0441\u0442\u044C \u043C\u0435\u043D\u044E MathJax.\n\n\u0414\u0456\u0439\u0441\u043D\u043E \u0437\u043C\u0456\u043D\u0438\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F MathPlayer?",IE9warning:"MathJax \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E \u0432\u0456\u0434\u043A\u043B\u044E\u0447\u0435\u043D\u043E, \u0430\u043B\u0435 \u0432\u0438 \u043C\u043E\u0436\u0435\u0442\u0435 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 ALT \u043F\u0456\u0434 \u0447\u0430\u0441 \u043A\u043B\u0456\u043A\u0456\u0432 \u043C\u0438\u0448\u0456 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u044F MathJax \u043C\u0435\u043D\u044E.",NoOriginalForm:"\u041D\u0435 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0430 \u043E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0430 \u0444\u043E\u0440\u043C\u0430",Close:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438",EqSource:"\u0414\u0436\u0435\u0440\u0435\u043B\u043E \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F MathJax",CloseAboutDialog:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438 \u0434\u0456\u0430\u043B\u043E\u0433 \u043F\u0440\u043E MathJax",FastPreview:"\u0428\u0432\u0438\u0434\u043A\u0438\u0439 \u043F\u043E\u043F\u0435\u0440\u0435\u0434\u043D\u0456\u0439 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434",AssistiveMML:"\u0414\u043E\u043F\u043E\u043C\u0456\u0436\u043D\u0438\u0439 MathML",InTabOrder:"\u0412\u043A\u043B\u044E\u0447\u0438\u0442\u0438 \u0432 \u043F\u043E\u0440\u044F\u0434\u043E\u043A \u0432\u043A\u043B\u0430\u0434\u043E\u043A"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/MathMenu.js");
+MathJax.Localization.addTranslation("uk","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u041F\u043E\u043A\u0430\u0437\u0443\u0432\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A",MathMLcode:"\u041A\u043E\u0434 MathML",OriginalMathML:"\u041E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0438\u0439 MathML",TeXCommands:"\u041A\u043E\u043C\u0430\u043D\u0434\u0438 TeX",AsciiMathInput:"\u0412\u0432\u0456\u0434 AsciiMathML",Original:"\u041E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0430 \u0444\u043E\u0440\u043C\u0430",ErrorMessage:"\u041F\u043E\u0432\u0456\u0434\u043E\u043C\u043B\u0435\u043D\u043D\u044F \u043F\u0440\u043E \u043F\u043E\u043C\u0438\u043B\u043A\u0443",Annotation:"\u0410\u043D\u043E\u0442\u0430\u0446\u0456\u044F",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"\u0417\u043C\u0456\u0441\u0442 MathML",OpenMath:"OpenMath",texHints:"\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u0438 \u043F\u043E\u0440\u0430\u0434\u0438 TeX \u0432 MathML",Settings:"\u041D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",ZoomTrigger:"\u041F\u0443\u0441\u043A \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443",Hover:"\u041F\u0456\u0434\u043D\u0435\u0441\u0435\u043D\u043D\u044F \u043A\u0443\u0440\u0441\u043E\u0440\u0430",Click:"\u041A\u043B\u0456\u043A",DoubleClick:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u043A\u043B\u0456\u043A",NoZoom:"\u0411\u0435\u0437 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F",TriggerRequires:"\u041D\u0435\u043E\u0431\u0445\u0456\u0434\u043D\u0456 \u043A\u043B\u044E\u0447\u0456:",Option:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440",Alt:"Alt",Command:"\u041A\u043E\u043C\u0430\u043D\u0434\u0430",Control:"\u041A\u0435\u0440\u0443\u0432\u0430\u043D\u043D\u044F",Shift:"Shift",ZoomFactor:"\u041C\u043D\u043E\u0436\u043D\u0438\u043A \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F",Renderer:"\u0412\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0446\u0456\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",MPHandles:"MathPlayer \u043E\u043F\u0440\u0430\u0446\u044C\u043E\u0432\u0443\u0454:",MenuEvents:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0435\u043D\u044E",MouseEvents:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0438\u0448\u043A\u0438",MenuAndMouse:"\u041F\u043E\u0434\u0456\u0457 \u043C\u0435\u043D\u044E \u0456 \u043C\u0438\u0448\u043A\u0438",FontPrefs:"\u0423\u0441\u0442\u0430\u043D\u043E\u0432\u043A\u0438 \u0448\u0442\u0440\u0438\u0444\u0442\u0443",ForHTMLCSS:"\u0414\u043B\u044F HTML-CSS:",Auto:"\u0410\u0432\u0442\u043E\u043C\u0430\u0442\u0438\u0447\u043D\u043E",TeXLocal:"TeX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439)",TeXWeb:"TeX (\u0432\u0435\u0431)",TeXImage:"TeX (\u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F)",STIXLocal:"STIX (\u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0438\u0439)",STIXWeb:"STIX (\u0432\u0435\u0431)",AsanaMathWeb:"Asana Math (\u0432\u0435\u0431)",GyrePagellaWeb:"Gyre Pagella (\u0432\u0435\u0431)",GyreTermesWeb:"Gyre Termes (\u0432\u0435\u0431)",LatinModernWeb:"Latin Modern (\u0432\u0435\u0431)",NeoEulerWeb:"Neo Euler (\u0432\u0435\u0431)",ContextMenu:"\u041A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E",Browser:"\u041E\u0433\u043B\u044F\u0434",Scale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u0442\u0438 \u0443\u0441\u044E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443\u2026",Discoverable:"\u041F\u0456\u0434\u0441\u0432\u0456\u0442\u043A\u0430 \u043F\u0440\u0438 \u043D\u0430\u0432\u0435\u0434\u0435\u043D\u043D\u0456",Locale:"\u041C\u043E\u0432\u0430",LoadLocale:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0437 URL...",About:"\u041F\u0440\u043E MathJax",Help:"\u0414\u043E\u043F\u043E\u043C\u043E\u0433\u0430 MathJax",localTeXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 TeX",webTeXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 TeX",imagefonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F \u0448\u0440\u0438\u0444\u0442\u0438 \u0437\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u044C",localSTIXfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 \u043B\u043E\u043A\u0430\u043B\u044C\u043D\u0456 STIX-\u0448\u0440\u0438\u0444\u0442\u0438",webSVGfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 SVG \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438",genericfonts:"\u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0447\u0438 \u0437\u0433\u0435\u043D\u0435\u0440\u043E\u0432\u0430\u043D\u0456 \u044E\u043D\u0456\u043A\u043E\u0434\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438",wofforotffonts:"\u0448\u0440\u0438\u0444\u0442\u0438 woff \u0430\u0431\u043E otf",eotffonts:"\u0448\u0440\u0438\u0444\u0442\u0438 eot",svgfonts:"\u0448\u0440\u0438\u0444\u0442\u0438 svg",WebkitNativeMMLWarning:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u0443\u0454 MathML, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u0432\u0438\u0432\u043E\u0434\u0443 \u0434\u043E MathML \u043C\u043E\u0436\u0435 \u043F\u0440\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0449\u043E \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456 \u0441\u0442\u0430\u043D\u0435 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043F\u0440\u043E\u0447\u0438\u0442\u0430\u0442\u0438.",MSIENativeMMLWarning:"\u0412\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447 Internet Explorer \u043F\u043E\u0442\u0440\u0435\u0431\u0443\u0454 \u043C\u043E\u0434\u0443\u043B\u044C MathPlayer \u0434\u043B\u044F \u043E\u0431\u0440\u043E\u0431\u043A\u0438 \u0432\u0438\u0432\u043E\u0434\u0443 MathML.",OperaNativeMMLWarning:"\u041E\u0431\u043C\u0435\u0436\u0435\u043D\u0430 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u043A\u0430 MathML \u0432 Opera, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u0432\u0438\u0432\u043E\u0434\u0443 \u043D\u0430 MathML \u043C\u043E\u0436\u0443\u0442\u044C \u0432\u0438\u043A\u043B\u0438\u043A\u0430\u0442\u0438, \u0449\u043E \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043F\u043E\u0433\u0430\u043D\u043E \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0430\u0442\u0438\u043C\u0443\u0442\u044C\u0441\u044F.",SafariNativeMMLWarning:"MathML \u0432\u0430\u0448\u043E\u0433\u043E \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430 \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u0443\u0454 \u0432\u0441\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u044F\u043A\u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F MathJax. \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438\u0441\u044F.",FirefoxNativeMMLWarning:"MathML \u0432\u0430\u0448\u043E\u0433\u043E \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0430 \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u0443\u0454 \u0432\u0441\u0456 \u0444\u0443\u043D\u043A\u0446\u0456\u0457, \u044F\u043A\u0456 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u044E\u0442\u044C\u0441\u044F MathJax. \u0422\u0430\u043A\u0438\u043C \u0447\u0438\u043D\u043E\u043C, \u0434\u0435\u044F\u043A\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 \u043C\u043E\u0436\u0443\u0442\u044C \u043D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u0442\u0438\u0441\u044F.",MSIESVGWarning:"SVG \u043D\u0435 \u0440\u0435\u0430\u043B\u0456\u0437\u043E\u0432\u0430\u043D\u043E \u0443 \u0432\u0435\u0431-\u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434\u0430\u0447\u0456 Internet Explorer \u0432\u0435\u0440\u0441\u0456\u0457 9 \u0430\u0431\u043E \u0435\u043C\u0443\u043B\u044E\u0454\u0442\u044C\u0441\u044F \u0432 IE8 \u0430\u0431\u043E \u043D\u0438\u0436\u0447\u0435, \u0442\u043E\u043C\u0443 \u043F\u0435\u0440\u0435\u043C\u0438\u043A\u0430\u043D\u043D\u044F \u043D\u0430 \u0432\u0438\u0432\u0456\u0434 SVG \u043C\u043E\u0436\u0435 \u043F\u0440\u0438\u0437\u0432\u0435\u0441\u0442\u0438, \u0449\u043E \u0446\u044E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0443 \u0441\u0442\u0430\u043D\u0435 \u043D\u0435\u043C\u043E\u0436\u043B\u0438\u0432\u043E \u043F\u0440\u043E\u0447\u0438\u0442\u0430\u0442\u0438.",LoadURL:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0434\u0430\u043D\u0456 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0443 \u0437 \u0446\u044C\u043E\u0433\u043E URL:",BadURL:'URL-\u0430\u0434\u0440\u0435\u0441\u0430 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0434\u043B\u044F JavaScript \u0444\u0430\u0439\u043B\u0443, \u044F\u043A\u0438\u0439 \u0432\u0438\u0437\u043D\u0430\u0447\u0430\u0454 MathJax \u0434\u0430\u043D\u0456 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0443. \u0406\u043C\'\u044F \u0444\u0430\u0439\u043B\u0443 JavaScript \u043F\u043E\u0432\u0438\u043D\u043D\u043E \u0437\u0430\u043A\u0456\u043D\u0447\u0443\u0432\u0430\u0442\u0438\u0441\u044F \u043D\u0430 ".js"',BadData:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u043F\u0435\u0440\u0435\u043A\u043B\u0430\u0434\u0438 \u0437 %1",SwitchAnyway:"\u0417\u043C\u0456\u043D\u0438\u0442\u0438 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440?\n\n(\u0412\u0438\u0431\u0435\u0440\u0456\u0442\u044C \u0413\u0430\u0440\u0430\u0437\u0434, \u0449\u043E\u0431 \u0437\u043C\u0456\u043D\u0438\u0442\u0438, \u0430\u0431\u043E \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u0434\u043B\u044F \u043F\u0440\u043E\u0434\u043E\u0432\u0436\u0435\u043D\u043D\u044F \u043F\u043E\u0442\u043E\u0447\u043D\u043E\u0433\u043E \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0430\u0442\u043E\u0440\u0430)",ScaleMath:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u0442\u0438 \u0432\u0441\u0456 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0432\u0438\u0440\u0430\u0437\u0438 (\u0443 \u043F\u043E\u0440\u0456\u0432\u043D\u044F\u043D\u043D\u0456 \u0437 \u043E\u0442\u043E\u0447\u0443\u044E\u0447\u0438\u043C \u0442\u0435\u043A\u0441\u0442\u043E\u043C)",NonZeroScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431 \u043D\u0435 \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u043D\u0443\u043B\u0435\u043C",PercentScale:"\u041C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0443 \u0432\u0456\u0434\u0441\u043E\u0442\u043A\u0430\u0445 (\u043D\u0430\u043F\u0440\u0438\u043A\u043B\u0430\u0434, 120%%)",IE8warning:"\u0426\u0435 \u0432\u0438\u043C\u0438\u043A\u0430\u0454 MathJax \u043C\u0435\u043D\u044E \u0442\u0430 \u0444\u0443\u043D\u043A\u0446\u0456\u0457 \u043C\u0430\u0441\u0448\u0442\u0430\u0431\u0443\u0432\u0430\u043D\u043D\u044F, \u0430\u043B\u0435 \u0432\u0438 \u043C\u043E\u0436\u0435\u0442\u0435 \u0443\u0442\u0440\u0438\u043C\u0443\u0432\u0430\u0442\u0438 ALT \u043F\u0456\u0434 \u0447\u0430\u0441 \u043A\u043B\u0456\u043A\u0456\u0432 \u043C\u0438\u0448\u0456 \u043D\u0430 \u0432\u0438\u0440\u0430\u0437\u0456 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u043D\u044F \u043D\u0430\u0442\u043E\u043C\u0456\u0441\u0442\u044C \u043C\u0435\u043D\u044E MathJax.\n\n\u0414\u0456\u0439\u0441\u043D\u043E \u0437\u043C\u0456\u043D\u0438\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F MathPlayer?",IE9warning:"MathJax \u043A\u043E\u043D\u0442\u0435\u043A\u0441\u0442\u043D\u0435 \u043C\u0435\u043D\u044E \u0432\u0456\u0434\u043A\u043B\u044E\u0447\u0435\u043D\u043E, \u0430\u043B\u0435 \u0432\u0438 \u043C\u043E\u0436\u0435\u0442\u0435 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 ALT \u043F\u0456\u0434 \u0447\u0430\u0441 \u043A\u043B\u0456\u043A\u0456\u0432 \u043C\u0438\u0448\u0456 \u0434\u043B\u044F \u043E\u0442\u0440\u0438\u043C\u0430\u043D\u044F MathJax \u043C\u0435\u043D\u044E.",NoOriginalForm:"\u041D\u0435 \u0434\u043E\u0441\u0442\u0443\u043F\u043D\u0430 \u043E\u0440\u0438\u0433\u0456\u043D\u0430\u043B\u044C\u043D\u0430 \u0444\u043E\u0440\u043C\u0430",Close:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438",EqSource:"\u0414\u0436\u0435\u0440\u0435\u043B\u043E \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F MathJax",CloseAboutDialog:"\u0417\u0430\u043A\u0440\u0438\u0442\u0438 \u0434\u0456\u0430\u043B\u043E\u0433 \u043F\u0440\u043E MathJax",FastPreview:"\u0428\u0432\u0438\u0434\u043A\u0438\u0439 \u043F\u043E\u043F\u0435\u0440\u0435\u0434\u043D\u0456\u0439 \u043F\u0435\u0440\u0435\u0433\u043B\u044F\u0434",AssistiveMML:"\u0414\u043E\u043F\u043E\u043C\u0456\u0436\u043D\u0438\u0439 MathML",InTabOrder:"\u0412\u043A\u043B\u044E\u0447\u0438\u0442\u0438 \u0432 \u043F\u043E\u0440\u044F\u0434\u043E\u043A \u0432\u043A\u043B\u0430\u0434\u043E\u043A"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/MathMenu.js");
diff --git a/localization/uk/TeX.js b/localization/uk/TeX.js
index 82965478df..62a62248ce 100644
--- a/localization/uk/TeX.js
+++ b/localization/uk/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/uk/TeX.js
+ *  /MathJax-v2/localization/uk/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0417\u0430\u0439\u0432\u0430 \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",ExtraCloseMissingOpen:"\u0417\u0430\u0439\u0432\u0430 \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",MissingLeftExtraRight:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \\left \u0430\u0431\u043E \u0437\u0430\u0439\u0432\u0438\u0439 \\right",MissingScript:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0438 \u0432\u0435\u0440\u0445\u043D\u044C\u043E\u0433\u043E \u0456 \u043D\u0438\u0436\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0456\u0432",ExtraLeftMissingRight:"\u0417\u0430\u0439\u0432\u0438\u0439 \\left \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \\right",Misplaced:"\u041D\u0435\u0432\u0456\u0440\u043D\u0438\u0439 %1",MissingOpenForSub:"\u0411\u0440\u0430\u043A\u0443\u0454 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u043D\u0438\u0436\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0443",MissingOpenForSup:"\u0411\u0440\u0430\u043A\u0443\u0454 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0432\u0435\u0440\u0445\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0443",AmbiguousUseOf:"\u041D\u0435\u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u043A\u0456\u043D\u0447\u0438\u0432\u0441\u044F \\end{%2}",EnvMissingEnd:"\u0411\u0440\u0430\u043A\u0443\u0454 \\end{%1}",MissingBoxFor:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0454 \u043F\u043E\u043B\u0435 \u0434\u043B\u044F %1",MissingCloseBrace:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0430 \u0434\u0443\u0436\u043A\u0430",UndefinedControlSequence:"\u041D\u0435\u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u043A\u043E\u043C\u0430\u043D\u0434\u0430 %1",DoubleExponent:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u0441\u0442\u0435\u043F\u0456\u043D\u044C: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u043D\u044F",DoubleSubscripts:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u043D\u0438\u0436\u043D\u0456\u0439 \u0456\u043D\u0434\u0435\u043A\u0441: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0443\u0442\u043E\u0447\u0435\u043D\u043D\u044F",DoubleExponentPrime:"\u0417\u043D\u0430\u043A \u0448\u0442\u0440\u0438\u0445\u0430 \u0441\u043F\u0440\u0438\u0447\u0438\u043D\u0438\u0432 \u043F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u0441\u0442\u0435\u043F\u0456\u043D\u044C: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u043D\u044F",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u043D\u0430 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0441\u0438\u043C\u0432\u043E\u043B \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0430 \u043C\u0430\u043A\u0440\u043E\u0441\u0443 # \u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u043C\u0443 \u0440\u0435\u0436\u0438\u043C\u0456",MisplacedMiddle:"%1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0432 \u043C\u0435\u0436\u0430\u0445 \\left \u0456 \\right",MisplacedLimits:"%1 \u0434\u043E\u0437\u0432\u043E\u043B\u0435\u043D\u043E \u0442\u0456\u043B\u044C\u043A\u0438 \u043D\u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u0445",MisplacedMoveRoot:"%1 \u043C\u043E\u0436\u0435 \u0437'\u044F\u0432\u0438\u0442\u0438\u0441\u044F \u043B\u0438\u0448\u0435 \u043F\u0456\u0434 \u043A\u043E\u0440\u0435\u043D\u0435\u043C",MultipleCommand:"\u041A\u0456\u043B\u044C\u043A\u0430 %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F  %1  \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0446\u0456\u043B\u0438\u043C \u0447\u0438\u0441\u043B\u043E\u043C",NotMathMLToken:"%1 \u043D\u0435 \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C \u043C\u0430\u0440\u043A\u0435\u0440\u0430",InvalidMathMLAttr:"\u041D\u0435\u043F\u0440\u0438\u043F\u0443\u0441\u0442\u0438\u043C\u0438\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 MathML: %1",UnknownAttrForElement:"%1 \u043D\u0435\u0440\u043E\u0437\u043F\u0456\u0437\u043D\u0430\u043D\u0438\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0434\u043B\u044F %2",MaxMacroSub1:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u044C\u043D\u0443 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u0432\u0438\u043A\u043B\u0438\u043A\u0456\u0432 \u043C\u0430\u043A\u0440\u043E\u0441\u0456\u0432; \u0430\u0431\u043E \u0432\u0456\u0434\u0431\u0443\u0432\u0430\u0454\u0442\u044C\u0441\u044F \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0438\u0439 \u0432\u0438\u043A\u043B\u0438\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0443?",MaxMacroSub2:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u044C\u043D\u0443 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u043F\u0456\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A MathJax; \u041C\u043E\u0436\u043B\u0438\u0432\u043E, \u0440\u0435\u043A\u0443\u0440\u0441\u0456\u044F \u0432 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 LaTeX?",MissingArgFor:"\u041F\u0440\u043E\u043F\u0443\u0449\u0435\u043D\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1",ExtraAlignTab:"\u0417\u0430\u0439\u0432\u0438\u0439 \u0442\u0430\u0431\u0443\u043B\u044F\u0442\u043E\u0440 \u0442\u0435\u043A\u0441\u0442\u0443 \u0443 \\cases",BracketMustBeDimension:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0443 \u0434\u0443\u0436\u043A\u0430\u0445 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0440\u043E\u0437\u043C\u0456\u0440\u043E\u043C",InvalidEnv:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0456\u043C'\u044F \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0430 '%1'",UnknownEnv:"\u041D\u0435\u0432\u0456\u0434\u043E\u043C\u0435 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0435 '%1'",ExtraCloseLooking:"\u0417\u0430\u0439\u0432\u0430 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0430 \u0434\u0443\u0436\u043A\u0430 \u0432\u0438\u043D\u0438\u043A\u043B\u0430 \u043F\u0456\u0434 \u0447\u0430\u0441 \u043F\u043E\u0448\u0443\u043A\u0443 %1",MissingCloseBracket:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0443 ']' \u0434\u043B\u044F \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0443 \u0434\u043E %1",MissingOrUnrecognizedDelim:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0430\u0431\u043E \u043D\u0435\u0440\u043E\u0437\u043F\u0456\u0437\u043D\u0430\u043D\u0438\u0439 \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0438\u043A \u0434\u043B\u044F %1",MissingDimOrUnits:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0440\u043E\u0437\u043C\u0456\u0440 \u0430\u0431\u043E \u0439\u043E\u0433\u043E \u043E\u0434\u0438\u043D\u0438\u0446\u0456 \u0434\u043B\u044F %1",TokenNotFoundForCommand:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 %1 \u0434\u043B\u044F %2",MathNotTerminated:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u043D\u0435 \u0437\u0430\u0432\u0435\u0440\u0448\u0443\u0454\u0442\u044C\u0441\u044F \u0432 \u0442\u0435\u043A\u0441\u0442\u043E\u0432\u043E\u043C\u0443 \u043F\u043E\u043B\u0456",IllegalMacroParam:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u043F\u043E\u0441\u0438\u043B\u0430\u043D\u043D\u044F \u043D\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u043C\u0430\u043A\u0440\u043E\u0441\u0443",MaxBufferSize:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u0440\u043E\u0437\u043C\u0456\u0440 \u0432\u043D\u0443\u0442\u0440\u0456\u0448\u043D\u044C\u043E\u0433\u043E \u0431\u0443\u0444\u0435\u0440\u0430 MathJax; \u0442\u0430\u043C \u0454 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0438\u0439 \u0432\u0438\u043A\u043B\u0438\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0443?",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0434\u043E\u043F\u0443\u0441\u043A\u0430\u0454\u0442\u044C\u0441\u044F \u0432 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 %2",MultipleLabel:"\u041C\u0456\u0442\u043A\u0430 '%1' \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u043A\u0456\u043B\u044C\u043A\u0430 \u0440\u0430\u0437\u0456\u0432",CommandAtTheBeginingOfLine:"%1 \u043C\u0430\u0454 \u0437\u043D\u0430\u0445\u043E\u0434\u0438\u0442\u0438\u0441\u044F \u043D\u0430 \u043F\u043E\u0447\u0430\u0442\u043A\u0443 \u0440\u044F\u0434\u043A\u0430",IllegalAlign:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u0432\u0438\u0440\u0456\u0432\u043D\u044E\u0432\u0430\u043D\u043D\u044F \u0432\u043A\u0430\u0437\u0430\u043D\u0435 \u0443 %1",BadMathStyleFor:"\u041D\u0435\u0432\u0456\u0440\u043D\u0438\u0439 \u0441\u0438\u043D\u0442\u0430\u043A\u0441\u0438\u0441 \u0434\u043B\u044F %1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0434\u043E\u0434\u0430\u0442\u043D\u0438\u043C \u0446\u0456\u043B\u0438\u043C \u0447\u0438\u0441\u043B\u043E\u043C",ErroneousNestingEq:"\u041F\u043E\u043C\u0438\u043B\u043A\u043E\u0432\u0456 \u0432\u043A\u043B\u0430\u0434\u0435\u043D\u043E\u0441\u0442\u0456 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F",MultlineRowsOneCol:"\u0420\u044F\u0434\u043A\u0438 \u0443 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 %1 \u043C\u0443\u0441\u044F\u0442\u044C \u043C\u0430\u0442\u0438 \u043B\u0438\u0448\u0435 \u043E\u0434\u0438\u043D \u0441\u0442\u043E\u0432\u043F\u0435\u0446\u044C",MultipleBBoxProperty:"%1 \u0432\u043A\u0430\u0437\u0430\u043D\u043E \u0434\u0432\u0456\u0447\u0456 \u0432 %2",InvalidBBoxProperty:"'%1' \u0437\u043E\u0432\u0441\u0456\u043C \u043D\u0435 \u0441\u0445\u043E\u0436\u0438\u0439 \u043D\u0430 \u043A\u043E\u043B\u0456\u0440, \u0434\u043E\u0434\u0430\u0442\u043A\u043E\u0432\u0438\u0439 \u0440\u043E\u0437\u043C\u0456\u0440 \u0430\u0431\u043E \u0441\u0442\u0438\u043B\u044C",ExtraEndMissingBegin:"\u0417\u0430\u0439\u0432\u0430 %1 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \\begingroup",GlobalNotFollowedBy:"%1 \u043D\u0435 \u0441\u043B\u0456\u0434\u0443\u0454 \u043F\u0456\u0441\u043B\u044F \\let, \\def \u0430\u0431\u043E \\newcommand",UndefinedColorModel:"\u041A\u043E\u043B\u0456\u0440\u043D\u0430 \u043C\u043E\u0434\u0435\u043B\u044C '%1' \u043D\u0435 \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430",ModelArg1:"\u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u043A\u043E\u043B\u044C\u043E\u0440\u0443 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0456 %1 \u0432\u0438\u043C\u0430\u0433\u0430\u044E\u0442\u044C 3 \u0446\u0438\u0444\u0440\u0438",InvalidDecimalNumber:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0434\u0435\u0441\u044F\u0442\u043A\u043E\u0432\u0435 \u0447\u0438\u0441\u043B\u043E",ModelArg2:"\u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u043A\u043E\u043B\u044C\u043E\u0440\u0443 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0456 %1 \u043F\u043E\u0432\u0438\u043D\u043D\u043E \u0431\u0443\u0442\u0438 \u043C\u0456\u0436 \u0442\u0435\u0433\u0430\u043C\u0438 %2 \u0456 %3",InvalidNumber:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0435 \u0447\u0438\u0441\u043B\u043E",NewextarrowArg1:"\u041F\u0435\u0440\u0448\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u043D\u0430\u0437\u0432\u043E\u044E \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0430 \u043A\u0435\u0440\u0456\u0432\u043D\u043E\u0457 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E\u0441\u0442\u0456",NewextarrowArg2:"\u0414\u0440\u0443\u0433\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0434\u0432\u043E\u043C\u0430 \u0446\u0456\u043B\u0438\u043C\u0438 \u0447\u0438\u0441\u043B\u0430\u043C\u0438, \u0440\u043E\u0437\u0434\u0456\u043B\u0435\u043D\u0438\u043C\u0438 \u043A\u043E\u043C\u0430\u043C\u0438",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u0456\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0447\u0438\u0441\u043B\u043E\u0432\u0438\u043C \u044E\u043D\u0456\u043A\u043E\u0434\u043D\u0438\u043C \u0441\u0438\u043C\u0432\u043E\u043B\u043E\u043C",NoClosingChar:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 %1",IllegalControlSequenceName:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0456\u043C'\u044F \u043A\u0435\u0440\u0456\u0432\u043D\u043E\u0457 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E\u0441\u0442\u0456 \u0434\u043B\u044F %1",IllegalParamNumber:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0456\u0432, \u0437\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0438\u0445 \u0443 %1",MissingCS:"\u041F\u0456\u0441\u043B\u044F %1 \u043C\u0443\u0441\u0438\u0442\u044C \u0441\u043B\u0456\u0434\u0443\u0432\u0430\u0442\u0438 \u043A\u0435\u0440\u0456\u0432\u043D\u0430 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u0456\u0441\u0442\u044C",CantUseHash2:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F # \u0443 \u0448\u0430\u0431\u043B\u043E\u043D\u0456 \u0434\u043B\u044F %1",SequentialParam:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438 \u0434\u043B\u044F %1 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u0431\u0443\u0442\u0438 \u043F\u0440\u043E\u043D\u0443\u043C\u0435\u0440\u043E\u0432\u0430\u043D\u0456 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E",MissingReplacementString:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0440\u044F\u0434\u043E\u043A \u0437\u0430\u043C\u0456\u043D\u0438 \u0434\u043B\u044F \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044F %1",MismatchUseDef:"\u0412\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F %1 \u043D\u0435 \u0432\u0456\u0434\u043F\u043E\u0432\u0456\u0434\u0430\u0454 \u0439\u043E\u0433\u043E \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044E",RunawayArgument:"\u0412\u0442\u0440\u0430\u0447\u0435\u043D\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1?",NoClosingDelim:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0433\u043E \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0438\u043A\u0430 \u0434\u043B\u044F%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/TeX.js");
+MathJax.Localization.addTranslation("uk","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u0417\u0430\u0439\u0432\u0430 \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",ExtraCloseMissingOpen:"\u0417\u0430\u0439\u0432\u0430 \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",MissingLeftExtraRight:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \\left \u0430\u0431\u043E \u0437\u0430\u0439\u0432\u0438\u0439 \\right",MissingScript:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0438 \u0432\u0435\u0440\u0445\u043D\u044C\u043E\u0433\u043E \u0456 \u043D\u0438\u0436\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0456\u0432",ExtraLeftMissingRight:"\u0417\u0430\u0439\u0432\u0438\u0439 \\left \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \\right",Misplaced:"\u041D\u0435\u0432\u0456\u0440\u043D\u0438\u0439 %1",MissingOpenForSub:"\u0411\u0440\u0430\u043A\u0443\u0454 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u043D\u0438\u0436\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0443",MissingOpenForSup:"\u0411\u0440\u0430\u043A\u0443\u0454 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0432\u0435\u0440\u0445\u043D\u044C\u043E\u0433\u043E \u0456\u043D\u0434\u0435\u043A\u0441\u0443",AmbiguousUseOf:"\u041D\u0435\u043E\u0434\u043D\u043E\u0437\u043D\u0430\u0447\u043D\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F %1",EnvBadEnd:"\\begin{%1} \u0437\u0430\u043A\u0456\u043D\u0447\u0438\u0432\u0441\u044F \\end{%2}",EnvMissingEnd:"\u0411\u0440\u0430\u043A\u0443\u0454 \\end{%1}",MissingBoxFor:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0454 \u043F\u043E\u043B\u0435 \u0434\u043B\u044F %1",MissingCloseBrace:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0430 \u0434\u0443\u0436\u043A\u0430",UndefinedControlSequence:"\u041D\u0435\u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u043A\u043E\u043C\u0430\u043D\u0434\u0430 %1",DoubleExponent:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u0441\u0442\u0435\u043F\u0456\u043D\u044C: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u043D\u044F",DoubleSubscripts:"\u041F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u043D\u0438\u0436\u043D\u0456\u0439 \u0456\u043D\u0434\u0435\u043A\u0441: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0443\u0442\u043E\u0447\u0435\u043D\u043D\u044F",DoubleExponentPrime:"\u0417\u043D\u0430\u043A \u0448\u0442\u0440\u0438\u0445\u0430 \u0441\u043F\u0440\u0438\u0447\u0438\u043D\u0438\u0432 \u043F\u043E\u0434\u0432\u0456\u0439\u043D\u0438\u0439 \u0441\u0442\u0435\u043F\u0456\u043D\u044C: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u0439\u0442\u0435 \u0434\u0443\u0436\u043A\u0438 \u0434\u043B\u044F \u0443\u0442\u043E\u0447\u043D\u0435\u043D\u043D\u044F",CantUseHash1:"\u041D\u0435 \u043C\u043E\u0436\u043D\u0430 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0432\u0430\u0442\u0438 \u0441\u0438\u043C\u0432\u043E\u043B \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0430 \u043C\u0430\u043A\u0440\u043E\u0441\u0443 # \u0443 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u043E\u043C\u0443 \u0440\u0435\u0436\u0438\u043C\u0456",MisplacedMiddle:"%1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0432 \u043C\u0435\u0436\u0430\u0445 \\left \u0456 \\right",MisplacedLimits:"%1 \u0434\u043E\u0437\u0432\u043E\u043B\u0435\u043D\u043E \u0442\u0456\u043B\u044C\u043A\u0438 \u043D\u0430 \u043E\u043F\u0435\u0440\u0430\u0442\u043E\u0440\u0430\u0445",MisplacedMoveRoot:"%1 \u043C\u043E\u0436\u0435 \u0437'\u044F\u0432\u0438\u0442\u0438\u0441\u044F \u043B\u0438\u0448\u0435 \u043F\u0456\u0434 \u043A\u043E\u0440\u0435\u043D\u0435\u043C",MultipleCommand:"\u041A\u0456\u043B\u044C\u043A\u0430 %1",IntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F  %1  \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0446\u0456\u043B\u0438\u043C \u0447\u0438\u0441\u043B\u043E\u043C",NotMathMLToken:"%1 \u043D\u0435 \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u043E\u043C \u043C\u0430\u0440\u043A\u0435\u0440\u0430",InvalidMathMLAttr:"\u041D\u0435\u043F\u0440\u0438\u043F\u0443\u0441\u0442\u0438\u043C\u0438\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 MathML: %1",UnknownAttrForElement:"%1 \u043D\u0435\u0440\u043E\u0437\u043F\u0456\u0437\u043D\u0430\u043D\u0438\u0439 \u0430\u0442\u0440\u0438\u0431\u0443\u0442 \u0434\u043B\u044F %2",MaxMacroSub1:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u044C\u043D\u0443 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u0432\u0438\u043A\u043B\u0438\u043A\u0456\u0432 \u043C\u0430\u043A\u0440\u043E\u0441\u0456\u0432; \u0430\u0431\u043E \u0432\u0456\u0434\u0431\u0443\u0432\u0430\u0454\u0442\u044C\u0441\u044F \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0438\u0439 \u0432\u0438\u043A\u043B\u0438\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0443?",MaxMacroSub2:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u043C\u0430\u043A\u0441\u0438\u043C\u0430\u043B\u044C\u043D\u0443 \u043A\u0456\u043B\u044C\u043A\u0456\u0441\u0442\u044C \u043F\u0456\u0434\u0441\u0442\u0430\u043D\u043E\u0432\u043E\u043A MathJax; \u041C\u043E\u0436\u043B\u0438\u0432\u043E, \u0440\u0435\u043A\u0443\u0440\u0441\u0456\u044F \u0432 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 LaTeX?",MissingArgFor:"\u041F\u0440\u043E\u043F\u0443\u0449\u0435\u043D\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1",ExtraAlignTab:"\u0417\u0430\u0439\u0432\u0438\u0439 \u0442\u0430\u0431\u0443\u043B\u044F\u0442\u043E\u0440 \u0442\u0435\u043A\u0441\u0442\u0443 \u0443 \\cases",BracketMustBeDimension:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0443 \u0434\u0443\u0436\u043A\u0430\u0445 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0440\u043E\u0437\u043C\u0456\u0440\u043E\u043C",InvalidEnv:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0456\u043C'\u044F \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0430 '%1'",UnknownEnv:"\u041D\u0435\u0432\u0456\u0434\u043E\u043C\u0435 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0435 '%1'",ExtraCloseLooking:"\u0417\u0430\u0439\u0432\u0430 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0430 \u0434\u0443\u0436\u043A\u0430 \u0432\u0438\u043D\u0438\u043A\u043B\u0430 \u043F\u0456\u0434 \u0447\u0430\u0441 \u043F\u043E\u0448\u0443\u043A\u0443 %1",MissingCloseBracket:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u0443 ']' \u0434\u043B\u044F \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442\u0443 \u0434\u043E %1",MissingOrUnrecognizedDelim:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0430\u0431\u043E \u043D\u0435\u0440\u043E\u0437\u043F\u0456\u0437\u043D\u0430\u043D\u0438\u0439 \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0438\u043A \u0434\u043B\u044F %1",MissingDimOrUnits:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0440\u043E\u0437\u043C\u0456\u0440 \u0430\u0431\u043E \u0439\u043E\u0433\u043E \u043E\u0434\u0438\u043D\u0438\u0446\u0456 \u0434\u043B\u044F %1",TokenNotFoundForCommand:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 %1 \u0434\u043B\u044F %2",MathNotTerminated:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430 \u043D\u0435 \u0437\u0430\u0432\u0435\u0440\u0448\u0443\u0454\u0442\u044C\u0441\u044F \u0432 \u0442\u0435\u043A\u0441\u0442\u043E\u0432\u043E\u043C\u0443 \u043F\u043E\u043B\u0456",IllegalMacroParam:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u043F\u043E\u0441\u0438\u043B\u0430\u043D\u043D\u044F \u043D\u0430 \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440 \u043C\u0430\u043A\u0440\u043E\u0441\u0443",MaxBufferSize:"\u041F\u0435\u0440\u0435\u0432\u0438\u0449\u0435\u043D\u043E \u0440\u043E\u0437\u043C\u0456\u0440 \u0432\u043D\u0443\u0442\u0440\u0456\u0448\u043D\u044C\u043E\u0433\u043E \u0431\u0443\u0444\u0435\u0440\u0430 MathJax; \u0442\u0430\u043C \u0454 \u0440\u0435\u043A\u0443\u0440\u0441\u0438\u0432\u043D\u0438\u0439 \u0432\u0438\u043A\u043B\u0438\u043A \u043C\u0430\u043A\u0440\u043E\u0441\u0443?",CommandNotAllowedInEnv:"%1 \u043D\u0435 \u0434\u043E\u043F\u0443\u0441\u043A\u0430\u0454\u0442\u044C\u0441\u044F \u0432 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 %2",MultipleLabel:"\u041C\u0456\u0442\u043A\u0430 '%1' \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430 \u043A\u0456\u043B\u044C\u043A\u0430 \u0440\u0430\u0437\u0456\u0432",CommandAtTheBeginingOfLine:"%1 \u043C\u0430\u0454 \u0437\u043D\u0430\u0445\u043E\u0434\u0438\u0442\u0438\u0441\u044F \u043D\u0430 \u043F\u043E\u0447\u0430\u0442\u043A\u0443 \u0440\u044F\u0434\u043A\u0430",IllegalAlign:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u0432\u0438\u0440\u0456\u0432\u043D\u044E\u0432\u0430\u043D\u043D\u044F \u0432\u043A\u0430\u0437\u0430\u043D\u0435 \u0443 %1",BadMathStyleFor:"\u041D\u0435\u0432\u0456\u0440\u043D\u0438\u0439 \u0441\u0438\u043D\u0442\u0430\u043A\u0441\u0438\u0441 \u0434\u043B\u044F %1",PositiveIntegerArg:"\u0410\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043F\u043E\u0432\u0438\u043D\u0435\u043D \u0431\u0443\u0442\u0438 \u0434\u043E\u0434\u0430\u0442\u043D\u0438\u043C \u0446\u0456\u043B\u0438\u043C \u0447\u0438\u0441\u043B\u043E\u043C",ErroneousNestingEq:"\u041F\u043E\u043C\u0438\u043B\u043A\u043E\u0432\u0456 \u0432\u043A\u043B\u0430\u0434\u0435\u043D\u043E\u0441\u0442\u0456 \u0441\u0442\u0440\u0443\u043A\u0442\u0443\u0440 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F",MultlineRowsOneCol:"\u0420\u044F\u0434\u043A\u0438 \u0443 \u0441\u0435\u0440\u0435\u0434\u043E\u0432\u0438\u0449\u0456 %1 \u043C\u0443\u0441\u044F\u0442\u044C \u043C\u0430\u0442\u0438 \u043B\u0438\u0448\u0435 \u043E\u0434\u0438\u043D \u0441\u0442\u043E\u0432\u043F\u0435\u0446\u044C",MultipleBBoxProperty:"%1 \u0432\u043A\u0430\u0437\u0430\u043D\u043E \u0434\u0432\u0456\u0447\u0456 \u0432 %2",InvalidBBoxProperty:"'%1' \u0437\u043E\u0432\u0441\u0456\u043C \u043D\u0435 \u0441\u0445\u043E\u0436\u0438\u0439 \u043D\u0430 \u043A\u043E\u043B\u0456\u0440, \u0434\u043E\u0434\u0430\u0442\u043A\u043E\u0432\u0438\u0439 \u0440\u043E\u0437\u043C\u0456\u0440 \u0430\u0431\u043E \u0441\u0442\u0438\u043B\u044C",ExtraEndMissingBegin:"\u0417\u0430\u0439\u0432\u0430 %1 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \\begingroup",GlobalNotFollowedBy:"%1 \u043D\u0435 \u0441\u043B\u0456\u0434\u0443\u0454 \u043F\u0456\u0441\u043B\u044F \\let, \\def \u0430\u0431\u043E \\newcommand",UndefinedColorModel:"\u041A\u043E\u043B\u0456\u0440\u043D\u0430 \u043C\u043E\u0434\u0435\u043B\u044C '%1' \u043D\u0435 \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u0430",ModelArg1:"\u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u043A\u043E\u043B\u044C\u043E\u0440\u0443 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0456 %1 \u0432\u0438\u043C\u0430\u0433\u0430\u044E\u0442\u044C 3 \u0446\u0438\u0444\u0440\u0438",InvalidDecimalNumber:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0434\u0435\u0441\u044F\u0442\u043A\u043E\u0432\u0435 \u0447\u0438\u0441\u043B\u043E",ModelArg2:"\u0417\u043D\u0430\u0447\u0435\u043D\u043D\u044F \u043A\u043E\u043B\u044C\u043E\u0440\u0443 \u0434\u043B\u044F \u043C\u043E\u0434\u0435\u043B\u0456 %1 \u043F\u043E\u0432\u0438\u043D\u043D\u043E \u0431\u0443\u0442\u0438 \u043C\u0456\u0436 \u0442\u0435\u0433\u0430\u043C\u0438 %2 \u0456 %3",InvalidNumber:"\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0435 \u0447\u0438\u0441\u043B\u043E",NewextarrowArg1:"\u041F\u0435\u0440\u0448\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u043D\u0430\u0437\u0432\u043E\u044E \u0435\u043B\u0435\u043C\u0435\u043D\u0442\u0430 \u043A\u0435\u0440\u0456\u0432\u043D\u043E\u0457 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E\u0441\u0442\u0456",NewextarrowArg2:"\u0414\u0440\u0443\u0433\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0434\u0432\u043E\u043C\u0430 \u0446\u0456\u043B\u0438\u043C\u0438 \u0447\u0438\u0441\u043B\u0430\u043C\u0438, \u0440\u043E\u0437\u0434\u0456\u043B\u0435\u043D\u0438\u043C\u0438 \u043A\u043E\u043C\u0430\u043C\u0438",NewextarrowArg3:"\u0422\u0440\u0435\u0442\u0456\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1 \u043C\u0430\u0454 \u0431\u0443\u0442\u0438 \u0447\u0438\u0441\u043B\u043E\u0432\u0438\u043C \u044E\u043D\u0456\u043A\u043E\u0434\u043D\u0438\u043C \u0441\u0438\u043C\u0432\u043E\u043B\u043E\u043C",NoClosingChar:"\u041D\u0435 \u043C\u043E\u0436\u043B\u0438\u0432\u043E \u0437\u043D\u0430\u0439\u0442\u0438 \u0432\u0456\u0434\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0457 %1",IllegalControlSequenceName:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0456\u043C'\u044F \u043A\u0435\u0440\u0456\u0432\u043D\u043E\u0457 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E\u0441\u0442\u0456 \u0434\u043B\u044F %1",IllegalParamNumber:"\u041D\u0435\u0432\u0456\u0440\u043D\u0435 \u0447\u0438\u0441\u043B\u043E \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0456\u0432, \u0437\u0430\u0437\u043D\u0430\u0447\u0435\u043D\u0438\u0445 \u0443 %1",MissingCS:"\u041F\u0456\u0441\u043B\u044F %1 \u043C\u0443\u0441\u0438\u0442\u044C \u0441\u043B\u0456\u0434\u0443\u0432\u0430\u0442\u0438 \u043A\u0435\u0440\u0456\u0432\u043D\u0430 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u0456\u0441\u0442\u044C",CantUseHash2:"\u041D\u0435\u0437\u0430\u043A\u043E\u043D\u043D\u0435 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F # \u0443 \u0448\u0430\u0431\u043B\u043E\u043D\u0456 \u0434\u043B\u044F %1",SequentialParam:"\u041F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438 \u0434\u043B\u044F %1 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u0431\u0443\u0442\u0438 \u043F\u0440\u043E\u043D\u0443\u043C\u0435\u0440\u043E\u0432\u0430\u043D\u0456 \u043F\u043E\u0441\u043B\u0456\u0434\u043E\u0432\u043D\u043E",MissingReplacementString:"\u0412\u0456\u0434\u0441\u0443\u0442\u043D\u0456\u0439 \u0440\u044F\u0434\u043E\u043A \u0437\u0430\u043C\u0456\u043D\u0438 \u0434\u043B\u044F \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044F %1",MismatchUseDef:"\u0412\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u0430\u043D\u043D\u044F %1 \u043D\u0435 \u0432\u0456\u0434\u043F\u043E\u0432\u0456\u0434\u0430\u0454 \u0439\u043E\u0433\u043E \u0432\u0438\u0437\u043D\u0430\u0447\u0435\u043D\u043D\u044E",RunawayArgument:"\u0412\u0442\u0440\u0430\u0447\u0435\u043D\u0438\u0439 \u0430\u0440\u0433\u0443\u043C\u0435\u043D\u0442 \u0434\u043B\u044F %1?",NoClosingDelim:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u043D\u0430\u0439\u0442\u0438 \u0437\u0430\u043A\u0440\u0438\u0432\u0430\u044E\u0447\u043E\u0433\u043E \u0440\u043E\u0437\u0434\u0456\u043B\u044C\u043D\u0438\u043A\u0430 \u0434\u043B\u044F%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/TeX.js");
diff --git a/localization/uk/uk.js b/localization/uk/uk.js
index 0b4c52dcea..389053fe78 100644
--- a/localization/uk/uk.js
+++ b/localization/uk/uk.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/uk/uk.js
+ *  /MathJax-v2/localization/uk/uk.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("uk",null,{menuTitle:"\u0443\u043A\u0440\u0430\u0457\u043D\u0441\u044C\u043A\u0430",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:'MathJax \u0437\u043D\u0430\u0439\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043A\u043E\u043D\u0444\u0456\u0433\u0443\u0440\u0430\u0446\u0456\u0457 \u043A\u043E\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0430, \u0449\u043E \u043C\u0456\u0441\u0442\u0438\u0442\u044C \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438 \u0445\u043E\u0447\u0435\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u0438 \u0439\u043E\u0433\u043E?\n\n\n(\u0412\u0438 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 "\u0421\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438", \u0430\u0431\u0438 \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043A\u0443\u043A \u0443 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432 \u043D\u0430\u0441\u0442\u0440\u043E\u044E\u0432\u0430\u043D\u043D\u044F cookie \u0441\u0435\u0431\u0435.)',MathProcessingError:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u043E\u0431\u0440\u043E\u0431\u043A\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0430 \u043F\u043E\u043C\u0438\u043B\u043A\u0430",LoadFile:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F %1",Loading:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F",LoadFailed:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0444\u0430\u0439\u043B: %1",ProcessMath:"\u041E\u0431\u0440\u043E\u0431\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Processing:"\u041E\u0431\u0440\u043E\u0431\u043A\u0430...",TypesetMath:"\u0412\u0435\u0440\u0441\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Typesetting:"\u0412\u0435\u0440\u0441\u0442\u043A\u0430",MathJaxNotSupported:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u0443\u0454 MathJax",ErrorTips:"\u041F\u0456\u0434\u043A\u0430\u0437\u043A\u0438 \u0449\u043E\u0434\u043E \u0437\u043D\u0435\u0432\u0430\u0434\u0436\u0435\u043D\u043D\u044F: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 %%1, \u0434\u043E\u0441\u043B\u0456\u0434\u0456\u0442\u044C %%2 \u0443 \u043A\u043E\u043D\u0441\u043E\u043B\u0456 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!=11){return 1}if(2<=a%10&&a%10<=4&&!(12<=a%100&&a%100<=14)){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/uk.js");
+MathJax.Localization.addTranslation("uk",null,{menuTitle:"\u0443\u043A\u0440\u0430\u0457\u043D\u0441\u044C\u043A\u0430",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:'MathJax \u0437\u043D\u0430\u0439\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043A\u043E\u043D\u0444\u0456\u0433\u0443\u0440\u0430\u0446\u0456\u0457 \u043A\u043E\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0430, \u0449\u043E \u043C\u0456\u0441\u0442\u0438\u0442\u044C \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438 \u0445\u043E\u0447\u0435\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u0438 \u0439\u043E\u0433\u043E?\n\n\n(\u0412\u0438 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 "\u0421\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438", \u0430\u0431\u0438 \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043A\u0443\u043A \u0443 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432 \u043D\u0430\u0441\u0442\u0440\u043E\u044E\u0432\u0430\u043D\u043D\u044F cookie \u0441\u0435\u0431\u0435.)',MathProcessingError:"\u041F\u043E\u043C\u0438\u043B\u043A\u0430 \u043E\u0431\u0440\u043E\u0431\u043A\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438",MathError:"\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0430 \u043F\u043E\u043C\u0438\u043B\u043A\u0430",LoadFile:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F %1",Loading:"\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F",LoadFailed:"\u041D\u0435 \u0432\u0434\u0430\u043B\u043E\u0441\u044F \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438 \u0444\u0430\u0439\u043B: %1",ProcessMath:"\u041E\u0431\u0440\u043E\u0431\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Processing:"\u041E\u0431\u0440\u043E\u0431\u043A\u0430...",TypesetMath:"\u0412\u0435\u0440\u0441\u0442\u043A\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438: %1%%",Typesetting:"\u0412\u0435\u0440\u0441\u0442\u043A\u0430",MathJaxNotSupported:"\u0412\u0430\u0448 \u0431\u0440\u0430\u0443\u0437\u0435\u0440 \u043D\u0435 \u043F\u0456\u0434\u0442\u0440\u0438\u043C\u0443\u0454 MathJax",ErrorTips:"\u041F\u0456\u0434\u043A\u0430\u0437\u043A\u0438 \u0449\u043E\u0434\u043E \u0437\u043D\u0435\u0432\u0430\u0434\u0436\u0435\u043D\u043D\u044F: \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0439\u0442\u0435 %%1, \u0434\u043E\u0441\u043B\u0456\u0434\u0456\u0442\u044C %%2 \u0443 \u043A\u043E\u043D\u0441\u043E\u043B\u0456 \u0431\u0440\u0430\u0443\u0437\u0435\u0440\u0430"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){if(a%10===1&&a%100!=11){return 1}if(2<=a%10&&a%10<=4&&!(12<=a%100&&a%100<=14)){return 2}if(a%10===0||(5<=a%10&&a%10<=9)||(11<=a%100&&a%100<=14)){return 3}return 4},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/uk/uk.js");
diff --git a/localization/vi/FontWarnings.js b/localization/vi/FontWarnings.js
index d4b1306bca..69650dc6d2 100644
--- a/localization/vi/FontWarnings.js
+++ b/localization/vi/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/vi/FontWarnings.js
+ *  /MathJax-v2/localization/vi/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("vi","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax s\u1EED d\u1EE5ng c\u00E1c ph\u00F4ng ch\u1EEF tr\u00EAn Web \u0111\u1EC3 v\u1EBD k\u00FD hi\u1EC7u to\u00E1n h\u1ECDc tr\u00EAn trang n\u00E0y. Tr\u00ECnh duy\u1EC7t ph\u1EA3i t\u1EF1 \u0111\u1ED9ng t\u1EA3i v\u1EC1 c\u00E1c ph\u00F4ng ch\u1EEF n\u00E0y; \u0111\u1EC3 l\u00E0m cho trang hi\u1EC3n th\u1ECB nhanh h\u01A1n, b\u1EA1n c\u00F3 th\u1EC3 c\u00E0i \u0111\u1EB7t c\u00E1c ph\u00F4ng ch\u1EEF to\u00E1n h\u1ECDc tr\u1EF1c ti\u1EBFp v\u00E0o th\u01B0 m\u1EE5c ph\u00F4ng ch\u1EEF c\u1EE7a m\u00E1y.",imageFonts:"MathJax s\u1EED d\u1EE5ng c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh c\u1EE7a n\u00F3 thay v\u00EC c\u00E1c ph\u00F4ng ch\u1EEF tr\u00EAn m\u00E1y ho\u1EB7c tr\u00EAn Web. C\u00E1c bi\u1EC3u th\u1EE9c to\u00E1n h\u1ECDc n\u00E0y s\u1EBD hi\u1EC3n th\u1ECB ch\u1EADm h\u01A1n b\u00ECnh th\u01B0\u1EDDng v\u00E0 c\u00F3 th\u1EC3 in ra \u1EDF \u0111\u1ED9 ph\u00E2n gi\u1EA3i th\u1EA5p.",noFonts:"MathJax kh\u00F4ng t\u00ECm th\u1EA5y ph\u00F4ng ch\u1EEF \u0111\u1EC3 hi\u1EC3n th\u1ECB to\u00E1n h\u1ECDc, v\u00E0 c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh kh\u00F4ng c\u00F3 s\u1EB5n, n\u00EAn n\u00F3 s\u1EED d\u1EE5ng c\u00E1c k\u00FD t\u1EF1 Unicode b\u00ECnh th\u01B0\u1EDDng n\u1EBFu tr\u01B0\u1EDDng h\u1EE3p tr\u00ECnh duy\u1EC7t c\u00F3 kh\u1EA3 n\u0103ng hi\u1EC3n th\u1ECB ch\u00FAng. M\u1ED9t s\u1ED1 k\u00FD t\u1EF1 s\u1EBD kh\u00F4ng hi\u1EC3n th\u1ECB ho\u1EB7c kh\u00F4ng hi\u1EC3n th\u1ECB ch\u00EDnh x\u00E1c.",webFonts:"H\u1EA7u h\u1EBFt c\u00E1c tr\u00ECnh duy\u1EC7t hi\u1EC7n \u0111\u1EA1i cho ph\u00E9p t\u1EA3i v\u1EC1 ph\u00F4ng ch\u1EEF t\u1EEB trang m\u1EA1ng. Vi\u1EC7c c\u1EADp nh\u1EADt \u0111\u1EBFn m\u1ED9t phi\u00EAn b\u1EA3n tr\u00ECnh duy\u1EC7t m\u1EDBi h\u01A1n (ho\u1EB7c \u0111\u1ED5i qua tr\u00ECnh duy\u1EC7t kh\u00E1c) c\u00F3 th\u1EC3 c\u1EA3i thi\u1EC7n ch\u1EA5t l\u01B0\u1EE3ng c\u1EE7a to\u00E1n tr\u00EAn trang n\u00E0y.",fonts:"MathJax c\u00F3 th\u1EC3 s\u1EED d\u1EE5ng [c\u00E1c ph\u00F4ng ch\u1EEF STIX](%1) ho\u1EB7c [c\u00E1c ph\u00F4ng ch\u1EEF TeX MathJax](%2). H\u00E3y t\u1EA3i v\u1EC1 v\u00E0 c\u00E0i \u0111\u1EB7t m\u1ED9t trong nh\u1EEFng ph\u00F4ng ch\u1EEF n\u00E0y \u0111\u1EC3 c\u1EA3i thi\u1EC7n kinh nghi\u1EC7m MathJax c\u1EE7a b\u1EA1n.",STIXPage:"Trang n\u00E0y \u0111\u01B0\u1EE3c thi\u1EBFt k\u1EBF \u0111\u1EC3 s\u1EED d\u1EE5ng [c\u00E1c ph\u00F4ng ch\u1EEF STIX](%1). H\u00E3y t\u1EA3i v\u1EC1 v\u00E0 c\u00E0i \u0111\u1EB7t nh\u1EEFng ph\u00F4ng ch\u1EEF n\u00E0y \u0111\u1EC3 c\u1EA3i thi\u1EC7n kinh nghi\u1EC7m MathJax c\u1EE7a b\u1EA1n.",TeXPage:"Trang n\u00E0y \u0111\u01B0\u1EE3c thi\u1EBFt k\u1EBF \u0111\u1EC3 s\u1EED d\u1EE5ng [c\u00E1c ph\u00F4ng ch\u1EEF TeX MathJax](%1). H\u00E3y t\u1EA3i v\u1EC1 v\u00E0 c\u00E0i \u0111\u1EB7t nh\u1EEFng ph\u00F4ng ch\u1EEF n\u00E0y \u0111\u1EC3 c\u1EA3i thi\u1EC7n kinh nghi\u1EC7m MathJax c\u1EE7a b\u1EA1n."}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/FontWarnings.js");
+MathJax.Localization.addTranslation("vi","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax s\u1EED d\u1EE5ng c\u00E1c ph\u00F4ng ch\u1EEF tr\u00EAn Web \u0111\u1EC3 v\u1EBD k\u00FD hi\u1EC7u to\u00E1n h\u1ECDc tr\u00EAn trang n\u00E0y. Tr\u00ECnh duy\u1EC7t ph\u1EA3i t\u1EF1 \u0111\u1ED9ng t\u1EA3i v\u1EC1 c\u00E1c ph\u00F4ng ch\u1EEF n\u00E0y; \u0111\u1EC3 l\u00E0m cho trang hi\u1EC3n th\u1ECB nhanh h\u01A1n, b\u1EA1n c\u00F3 th\u1EC3 c\u00E0i \u0111\u1EB7t c\u00E1c ph\u00F4ng ch\u1EEF to\u00E1n h\u1ECDc tr\u1EF1c ti\u1EBFp v\u00E0o th\u01B0 m\u1EE5c ph\u00F4ng ch\u1EEF c\u1EE7a m\u00E1y.",imageFonts:"MathJax s\u1EED d\u1EE5ng c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh c\u1EE7a n\u00F3 thay v\u00EC c\u00E1c ph\u00F4ng ch\u1EEF tr\u00EAn m\u00E1y ho\u1EB7c tr\u00EAn Web. C\u00E1c bi\u1EC3u th\u1EE9c to\u00E1n h\u1ECDc n\u00E0y s\u1EBD hi\u1EC3n th\u1ECB ch\u1EADm h\u01A1n b\u00ECnh th\u01B0\u1EDDng v\u00E0 c\u00F3 th\u1EC3 in ra \u1EDF \u0111\u1ED9 ph\u00E2n gi\u1EA3i th\u1EA5p.",noFonts:"MathJax kh\u00F4ng t\u00ECm th\u1EA5y ph\u00F4ng ch\u1EEF \u0111\u1EC3 hi\u1EC3n th\u1ECB to\u00E1n h\u1ECDc, v\u00E0 c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh kh\u00F4ng c\u00F3 s\u1EB5n, n\u00EAn n\u00F3 s\u1EED d\u1EE5ng c\u00E1c k\u00FD t\u1EF1 Unicode b\u00ECnh th\u01B0\u1EDDng n\u1EBFu tr\u01B0\u1EDDng h\u1EE3p tr\u00ECnh duy\u1EC7t c\u00F3 kh\u1EA3 n\u0103ng hi\u1EC3n th\u1ECB ch\u00FAng. M\u1ED9t s\u1ED1 k\u00FD t\u1EF1 s\u1EBD kh\u00F4ng hi\u1EC3n th\u1ECB ho\u1EB7c kh\u00F4ng hi\u1EC3n th\u1ECB ch\u00EDnh x\u00E1c.",webFonts:"H\u1EA7u h\u1EBFt c\u00E1c tr\u00ECnh duy\u1EC7t hi\u1EC7n \u0111\u1EA1i cho ph\u00E9p t\u1EA3i v\u1EC1 ph\u00F4ng ch\u1EEF t\u1EEB trang m\u1EA1ng. Vi\u1EC7c c\u1EADp nh\u1EADt \u0111\u1EBFn m\u1ED9t phi\u00EAn b\u1EA3n tr\u00ECnh duy\u1EC7t m\u1EDBi h\u01A1n (ho\u1EB7c \u0111\u1ED5i qua tr\u00ECnh duy\u1EC7t kh\u00E1c) c\u00F3 th\u1EC3 c\u1EA3i thi\u1EC7n ch\u1EA5t l\u01B0\u1EE3ng c\u1EE7a to\u00E1n tr\u00EAn trang n\u00E0y.",fonts:"MathJax c\u00F3 th\u1EC3 s\u1EED d\u1EE5ng [c\u00E1c ph\u00F4ng ch\u1EEF STIX](%1) ho\u1EB7c [c\u00E1c ph\u00F4ng ch\u1EEF TeX MathJax](%2). H\u00E3y t\u1EA3i v\u1EC1 v\u00E0 c\u00E0i \u0111\u1EB7t m\u1ED9t trong nh\u1EEFng ph\u00F4ng ch\u1EEF n\u00E0y \u0111\u1EC3 c\u1EA3i thi\u1EC7n kinh nghi\u1EC7m MathJax c\u1EE7a b\u1EA1n.",STIXPage:"Trang n\u00E0y \u0111\u01B0\u1EE3c thi\u1EBFt k\u1EBF \u0111\u1EC3 s\u1EED d\u1EE5ng [c\u00E1c ph\u00F4ng ch\u1EEF STIX](%1). H\u00E3y t\u1EA3i v\u1EC1 v\u00E0 c\u00E0i \u0111\u1EB7t nh\u1EEFng ph\u00F4ng ch\u1EEF n\u00E0y \u0111\u1EC3 c\u1EA3i thi\u1EC7n kinh nghi\u1EC7m MathJax c\u1EE7a b\u1EA1n.",TeXPage:"Trang n\u00E0y \u0111\u01B0\u1EE3c thi\u1EBFt k\u1EBF \u0111\u1EC3 s\u1EED d\u1EE5ng [c\u00E1c ph\u00F4ng ch\u1EEF TeX MathJax](%1). H\u00E3y t\u1EA3i v\u1EC1 v\u00E0 c\u00E0i \u0111\u1EB7t nh\u1EEFng ph\u00F4ng ch\u1EEF n\u00E0y \u0111\u1EC3 c\u1EA3i thi\u1EC7n kinh nghi\u1EC7m MathJax c\u1EE7a b\u1EA1n."}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/FontWarnings.js");
diff --git a/localization/vi/HTML-CSS.js b/localization/vi/HTML-CSS.js
index ee7a20e714..126d97399b 100644
--- a/localization/vi/HTML-CSS.js
+++ b/localization/vi/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/vi/HTML-CSS.js
+ *  /MathJax-v2/localization/vi/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("vi","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u0110ang t\u1EA3i ph\u00F4ng ch\u1EEF Web %1",CantLoadWebFont:"Kh\u00F4ng th\u1EC3 t\u1EA3i ph\u00F4ng ch\u1EEF Web %1",FirefoxCantLoadWebFont:"Firefox kh\u00F4ng th\u1EC3 t\u1EA3i ph\u00F4ng ch\u1EEF Web t\u1EEB m\u1ED9t m\u00E1y ch\u1EE7 t\u1EEB xa",CantFindFontUsing:"Kh\u00F4ng t\u00ECm th\u1EA5y ph\u00F4ng ch\u1EEF h\u1EE3p l\u1EC7 d\u00F9ng %1",WebFontsNotAvailable:"Ph\u00F4ng ch\u1EEF Web kh\u00F4ng c\u00F3 s\u1EB5n; \u0111ang s\u1EED d\u1EE5ng ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh thay th\u1EBF"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/HTML-CSS.js");
+MathJax.Localization.addTranslation("vi","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u0110ang t\u1EA3i ph\u00F4ng ch\u1EEF Web %1",CantLoadWebFont:"Kh\u00F4ng th\u1EC3 t\u1EA3i ph\u00F4ng ch\u1EEF Web %1",FirefoxCantLoadWebFont:"Firefox kh\u00F4ng th\u1EC3 t\u1EA3i ph\u00F4ng ch\u1EEF Web t\u1EEB m\u1ED9t m\u00E1y ch\u1EE7 t\u1EEB xa",CantFindFontUsing:"Kh\u00F4ng t\u00ECm th\u1EA5y ph\u00F4ng ch\u1EEF h\u1EE3p l\u1EC7 d\u00F9ng %1",WebFontsNotAvailable:"Ph\u00F4ng ch\u1EEF Web kh\u00F4ng c\u00F3 s\u1EB5n; \u0111ang s\u1EED d\u1EE5ng ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh thay th\u1EBF"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/HTML-CSS.js");
diff --git a/localization/vi/HelpDialog.js b/localization/vi/HelpDialog.js
index d8b6808980..4dd7f79adb 100644
--- a/localization/vi/HelpDialog.js
+++ b/localization/vi/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/vi/HelpDialog.js
+ *  /MathJax-v2/localization/vi/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("vi","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"Tr\u1EE3 gi\u00FAp MathJax",MathJax:"*MathJax* l\u00E0 m\u1ED9t th\u01B0 vi\u1EC7n JavaScript cho ph\u00E9p c\u00E1c t\u00E1c gi\u1EA3 nh\u00FAng c\u00F4ng th\u1EE9c to\u00E1n h\u1ECDc v\u00E0o trang Web. C\u00E1c \u0111\u1ED9c gi\u1EA3 nh\u01B0 b\u1EA1n kh\u00F4ng c\u1EA7n l\u00E0m th\u00EAm g\u00EC \u0111\u1EC3 hi\u1EC3n th\u1ECB to\u00E1n h\u1ECDc.",Browsers:"*Tr\u00ECnh duy\u1EC7t*: MathJax t\u01B0\u01A1ng th\u00EDch v\u1EDBi t\u1EA5t c\u1EA3 c\u00E1c tr\u00ECnh duy\u1EC7t \u0111\u1EDDi m\u1EDBi, bao g\u1ED3m IE 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+, v\u00E0 ph\u1EA7n nhi\u1EC1u tr\u00ECnh duy\u1EC7t di \u0111\u1ED9ng.",Menu:"*Tr\u00ECnh \u0111\u01A1n To\u00E1n h\u1ECDc*: MathJax th\u00EAm m\u1ED9t tr\u00ECnh \u0111\u01A1n ng\u1EEF c\u1EA3nh v\u00E0o c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh. Nh\u1EA5n chu\u1ED9t ph\u1EA3i ho\u1EB7c nh\u1EA5n gi\u1EEF Ctrl v\u00E0 nh\u1EA5n chu\u1ED9t tr\u00E1i \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n n\u00E0y.",ShowMath:"*Xem To\u00E1n D\u01B0\u1EDBi d\u1EA1ng* cho ph\u00E9p xem v\u00E0 ch\u00E9p d\u00E1n m\u00E3 ngu\u1ED3n c\u1EE7a ph\u01B0\u01A1ng tr\u00ECnh (d\u01B0\u1EDBi d\u1EA1ng MathML ho\u1EB7c \u0111\u1ECBnh d\u1EA1ng g\u1ED1c).",Settings:"*T\u00F9y ch\u1ECDn To\u00E1n* cho ph\u00E9p \u0111i\u1EC1u khi\u1EC3n c\u00E1c t\u00EDnh n\u0103ng c\u1EE7a MathJax, th\u00ED d\u1EE5 nh\u01B0 k\u00EDch th\u01B0\u1EDBc k\u00FD t\u1EF1 to\u00E1n h\u1ECDc, c\u0169ng nh\u01B0 ph\u01B0\u01A1ng ph\u00E1p hi\u1EC3n th\u1ECB c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh.",Language:"*Ng\u00F4n ng\u1EEF* cho ph\u00E9p l\u1EF1a ch\u1ECDn ng\u00F4n ng\u1EEF cho c\u00E1c tr\u00ECnh \u0111\u01A1n v\u00E0 th\u00F4ng \u0111i\u1EC7p trong MathJax.",Zoom:"*Ph\u00F3ng to*: N\u1EBFu b\u1EA1n c\u1EA3m th\u1EA5y kh\u00F3 \u0111\u1ECDc m\u1ED9t ph\u01B0\u01A1ng tr\u00ECnh, MathJax c\u00F3 th\u1EC3 ph\u00F3ng to n\u00F3 \u0111\u1EC3 gi\u00FAp b\u1EA1n th\u1EA5y r\u00F5 h\u01A1n.",Accessibilty:"*Tr\u1EE3 n\u0103ng*: MathJax t\u1EF1 \u0111\u1ED9ng t\u00E1c \u0111\u1ED9ng v\u1EDBi c\u00E1c tr\u00ECnh \u0111\u1ECDc m\u00E0n h\u00ECnh \u0111\u1EC3 gi\u00FAp ng\u01B0\u1EDDi m\u00F9 l\u00F2a truy c\u1EADp to\u00E1n h\u1ECDc.",Fonts:"*Ph\u00F4ng ch\u1EEF*: MathJax s\u1EED d\u1EE5ng m\u1ED9t s\u1ED1 ph\u00F4ng ch\u1EEF to\u00E1n h\u1ECDc n\u1EBFu \u0111\u01B0\u1EE3c c\u00E0i \u0111\u1EB7t tr\u00EAn m\u00E1y c\u1EE7a b\u1EA1n; n\u1EBFu kh\u00F4ng, n\u00F3 t\u1EA3i c\u00E1c ph\u00F4ng ch\u1EEF Web. B\u1EA1n c\u00F3 th\u1EC3 (nh\u01B0ng kh\u00F4ng c\u1EA7n ph\u1EA3i) c\u00E0i \u0111\u1EB7t c\u00E1c ph\u00F4ng ch\u1EEF v\u00E0o m\u00E1y \u0111\u1EC3 t\u0103ng t\u1ED1c \u0111\u1ED9 s\u1EAFp ch\u1EEF. Ch\u00FAng t\u00F4i khuy\u1EBFn kh\u00EDch c\u00E0i \u0111\u1EB7t c\u00E1c [ph\u00F4ng ch\u1EEF STIX](%1).",CloseDialog:"\u0110\u00F3ng h\u1ED9p tho\u1EA1i tr\u1EE3 gi\u00FAp"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/HelpDialog.js");
+MathJax.Localization.addTranslation("vi","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"Tr\u1EE3 gi\u00FAp MathJax",MathJax:"*MathJax* l\u00E0 m\u1ED9t th\u01B0 vi\u1EC7n JavaScript cho ph\u00E9p c\u00E1c t\u00E1c gi\u1EA3 nh\u00FAng c\u00F4ng th\u1EE9c to\u00E1n h\u1ECDc v\u00E0o trang Web. C\u00E1c \u0111\u1ED9c gi\u1EA3 nh\u01B0 b\u1EA1n kh\u00F4ng c\u1EA7n l\u00E0m th\u00EAm g\u00EC \u0111\u1EC3 hi\u1EC3n th\u1ECB to\u00E1n h\u1ECDc.",Browsers:"*Tr\u00ECnh duy\u1EC7t*: MathJax t\u01B0\u01A1ng th\u00EDch v\u1EDBi t\u1EA5t c\u1EA3 c\u00E1c tr\u00ECnh duy\u1EC7t \u0111\u1EDDi m\u1EDBi, bao g\u1ED3m IE 6+, Firefox 3+, Chrome 0.2+, Safari 2+, Opera 9.6+, v\u00E0 ph\u1EA7n nhi\u1EC1u tr\u00ECnh duy\u1EC7t di \u0111\u1ED9ng.",Menu:"*Tr\u00ECnh \u0111\u01A1n To\u00E1n h\u1ECDc*: MathJax th\u00EAm m\u1ED9t tr\u00ECnh \u0111\u01A1n ng\u1EEF c\u1EA3nh v\u00E0o c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh. Nh\u1EA5n chu\u1ED9t ph\u1EA3i ho\u1EB7c nh\u1EA5n gi\u1EEF Ctrl v\u00E0 nh\u1EA5n chu\u1ED9t tr\u00E1i \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n n\u00E0y.",ShowMath:"*Xem To\u00E1n D\u01B0\u1EDBi d\u1EA1ng* cho ph\u00E9p xem v\u00E0 ch\u00E9p d\u00E1n m\u00E3 ngu\u1ED3n c\u1EE7a ph\u01B0\u01A1ng tr\u00ECnh (d\u01B0\u1EDBi d\u1EA1ng MathML ho\u1EB7c \u0111\u1ECBnh d\u1EA1ng g\u1ED1c).",Settings:"*T\u00F9y ch\u1ECDn To\u00E1n* cho ph\u00E9p \u0111i\u1EC1u khi\u1EC3n c\u00E1c t\u00EDnh n\u0103ng c\u1EE7a MathJax, th\u00ED d\u1EE5 nh\u01B0 k\u00EDch th\u01B0\u1EDBc k\u00FD t\u1EF1 to\u00E1n h\u1ECDc, c\u0169ng nh\u01B0 ph\u01B0\u01A1ng ph\u00E1p hi\u1EC3n th\u1ECB c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh.",Language:"*Ng\u00F4n ng\u1EEF* cho ph\u00E9p l\u1EF1a ch\u1ECDn ng\u00F4n ng\u1EEF cho c\u00E1c tr\u00ECnh \u0111\u01A1n v\u00E0 th\u00F4ng \u0111i\u1EC7p trong MathJax.",Zoom:"*Ph\u00F3ng to*: N\u1EBFu b\u1EA1n c\u1EA3m th\u1EA5y kh\u00F3 \u0111\u1ECDc m\u1ED9t ph\u01B0\u01A1ng tr\u00ECnh, MathJax c\u00F3 th\u1EC3 ph\u00F3ng to n\u00F3 \u0111\u1EC3 gi\u00FAp b\u1EA1n th\u1EA5y r\u00F5 h\u01A1n.",Accessibilty:"*Tr\u1EE3 n\u0103ng*: MathJax t\u1EF1 \u0111\u1ED9ng t\u00E1c \u0111\u1ED9ng v\u1EDBi c\u00E1c tr\u00ECnh \u0111\u1ECDc m\u00E0n h\u00ECnh \u0111\u1EC3 gi\u00FAp ng\u01B0\u1EDDi m\u00F9 l\u00F2a truy c\u1EADp to\u00E1n h\u1ECDc.",Fonts:"*Ph\u00F4ng ch\u1EEF*: MathJax s\u1EED d\u1EE5ng m\u1ED9t s\u1ED1 ph\u00F4ng ch\u1EEF to\u00E1n h\u1ECDc n\u1EBFu \u0111\u01B0\u1EE3c c\u00E0i \u0111\u1EB7t tr\u00EAn m\u00E1y c\u1EE7a b\u1EA1n; n\u1EBFu kh\u00F4ng, n\u00F3 t\u1EA3i c\u00E1c ph\u00F4ng ch\u1EEF Web. B\u1EA1n c\u00F3 th\u1EC3 (nh\u01B0ng kh\u00F4ng c\u1EA7n ph\u1EA3i) c\u00E0i \u0111\u1EB7t c\u00E1c ph\u00F4ng ch\u1EEF v\u00E0o m\u00E1y \u0111\u1EC3 t\u0103ng t\u1ED1c \u0111\u1ED9 s\u1EAFp ch\u1EEF. Ch\u00FAng t\u00F4i khuy\u1EBFn kh\u00EDch c\u00E0i \u0111\u1EB7t c\u00E1c [ph\u00F4ng ch\u1EEF STIX](%1).",CloseDialog:"\u0110\u00F3ng h\u1ED9p tho\u1EA1i tr\u1EE3 gi\u00FAp"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/HelpDialog.js");
diff --git a/localization/vi/MathML.js b/localization/vi/MathML.js
index 9ff7a7a2fb..6e4ad36958 100644
--- a/localization/vi/MathML.js
+++ b/localization/vi/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/vi/MathML.js
+ *  /MathJax-v2/localization/vi/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("vi","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"mglyph h\u1ECFng: %1",BadMglyphFont:"Ph\u00F4ng ch\u1EEF h\u1ECFng: %1",MathPlayer:"MathJax kh\u00F4ng th\u1EC3 thi\u1EBFt l\u1EADp MathPlayer.\n\nN\u1EBFu MathPlayer ch\u01B0a \u0111\u01B0\u1EE3c c\u00E0i \u0111\u1EB7t, b\u1EA1n c\u1EA7n ph\u1EA3i c\u00E0i \u0111\u1EB7t n\u00F3 tr\u01B0\u1EDBc ti\u00EAn.\nN\u1EBFu kh\u00F4ng, c\u00E1c t\u00F9y ch\u1ECDn b\u1EA3o m\u1EADt c\u1EE7a b\u1EA1n c\u00F3 th\u1EC3 ng\u0103n tr\u1EDF c\u00E1c \u0111i\u1EC1u khi\u1EC3n ActiveX. H\u00E3y ch\u1ECDn T\u00F9y ch\u1ECDn Internet trong tr\u00ECnh \u0111\u01A1n C\u00F4ng c\u1EE5, qua th\u1EBB B\u1EA3o m\u1EADt, v\u00E0 b\u1EA5m n\u00FAt M\u1EE9c t\u00F9y ch\u1EC9nh. Ki\u1EC3m c\u00E1c h\u1ED9p \u201CCh\u1EA1y \u0111i\u1EC1u khi\u1EC3n ActiveX\u201D v\u00E0 \u201CH\u00E0nh vi nh\u1ECB ph\u00E2n v\u00E0 k\u1ECBch b\u1EA3n\u201D.\n\nHi\u1EC7n t\u1EA1i b\u1EA1n s\u1EBD g\u1EB7p c\u00E1c th\u00F4ng b\u00E1o l\u1ED7i thay v\u00EC to\u00E1n h\u1ECDc \u0111\u01B0\u1EE3c k\u1EBFt xu\u1EA5t.",CantCreateXMLParser:"MathJax kh\u00F4ng th\u1EC3 t\u1EA1o ra b\u1ED9 ph\u00E2n t\u00EDch XML cho MathML. H\u00E3y ch\u1ECDn T\u00F9y ch\u1ECDn Internet trong tr\u00ECnh \u0111\u01A1n C\u00F4ng c\u1EE5, qua th\u1EBB B\u1EA3o m\u1EADt, v\u00E0 b\u1EA5m n\u00FAt M\u1EE9c t\u00F9y ch\u1EC9nh. Ki\u1EC3m h\u1ED9p \u201CScript c\u00E1c \u0111i\u1EC1u khi\u1EC3n ActiveX \u0111\u01B0\u1EE3c \u0111\u00E1nh d\u1EA5u l\u00E0 an to\u00E0n\u201D.\n\nMathJax s\u1EBD kh\u00F4ng th\u1EC3 x\u1EED l\u00FD c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh MathML.",UnknownNodeType:"Ki\u1EC3u n\u00FAt kh\u00F4ng r\u00F5: %1",UnexpectedTextNode:"N\u00FAt v\u0103n b\u1EA3n b\u1EA5t ng\u1EEB: %1",ErrorParsingMathML:"L\u1ED7i khi ph\u00E2n t\u00EDch MathML",ParsingError:"L\u1ED7i khi ph\u00E2n t\u00EDch MathML: %1",MathMLSingleElement:"MathML ph\u1EA3i ch\u1EC9 c\u00F3 m\u1ED9t ph\u1EA7n t\u1EED g\u1ED1c",MathMLRootElement:"Ph\u1EA7n t\u1EED g\u1ED1c c\u1EE7a MathML ph\u1EA3i l\u00E0 \u003Cmath\u003E, ch\u1EE9 kh\u00F4ng ph\u1EA3i %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/MathML.js");
+MathJax.Localization.addTranslation("vi","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"mglyph h\u1ECFng: %1",BadMglyphFont:"Ph\u00F4ng ch\u1EEF h\u1ECFng: %1",MathPlayer:"MathJax kh\u00F4ng th\u1EC3 thi\u1EBFt l\u1EADp MathPlayer.\n\nN\u1EBFu MathPlayer ch\u01B0a \u0111\u01B0\u1EE3c c\u00E0i \u0111\u1EB7t, b\u1EA1n c\u1EA7n ph\u1EA3i c\u00E0i \u0111\u1EB7t n\u00F3 tr\u01B0\u1EDBc ti\u00EAn.\nN\u1EBFu kh\u00F4ng, c\u00E1c t\u00F9y ch\u1ECDn b\u1EA3o m\u1EADt c\u1EE7a b\u1EA1n c\u00F3 th\u1EC3 ng\u0103n tr\u1EDF c\u00E1c \u0111i\u1EC1u khi\u1EC3n ActiveX. H\u00E3y ch\u1ECDn T\u00F9y ch\u1ECDn Internet trong tr\u00ECnh \u0111\u01A1n C\u00F4ng c\u1EE5, qua th\u1EBB B\u1EA3o m\u1EADt, v\u00E0 b\u1EA5m n\u00FAt M\u1EE9c t\u00F9y ch\u1EC9nh. Ki\u1EC3m c\u00E1c h\u1ED9p \u201CCh\u1EA1y \u0111i\u1EC1u khi\u1EC3n ActiveX\u201D v\u00E0 \u201CH\u00E0nh vi nh\u1ECB ph\u00E2n v\u00E0 k\u1ECBch b\u1EA3n\u201D.\n\nHi\u1EC7n t\u1EA1i b\u1EA1n s\u1EBD g\u1EB7p c\u00E1c th\u00F4ng b\u00E1o l\u1ED7i thay v\u00EC to\u00E1n h\u1ECDc \u0111\u01B0\u1EE3c k\u1EBFt xu\u1EA5t.",CantCreateXMLParser:"MathJax kh\u00F4ng th\u1EC3 t\u1EA1o ra b\u1ED9 ph\u00E2n t\u00EDch XML cho MathML. H\u00E3y ch\u1ECDn T\u00F9y ch\u1ECDn Internet trong tr\u00ECnh \u0111\u01A1n C\u00F4ng c\u1EE5, qua th\u1EBB B\u1EA3o m\u1EADt, v\u00E0 b\u1EA5m n\u00FAt M\u1EE9c t\u00F9y ch\u1EC9nh. Ki\u1EC3m h\u1ED9p \u201CScript c\u00E1c \u0111i\u1EC1u khi\u1EC3n ActiveX \u0111\u01B0\u1EE3c \u0111\u00E1nh d\u1EA5u l\u00E0 an to\u00E0n\u201D.\n\nMathJax s\u1EBD kh\u00F4ng th\u1EC3 x\u1EED l\u00FD c\u00E1c ph\u01B0\u01A1ng tr\u00ECnh MathML.",UnknownNodeType:"Ki\u1EC3u n\u00FAt kh\u00F4ng r\u00F5: %1",UnexpectedTextNode:"N\u00FAt v\u0103n b\u1EA3n b\u1EA5t ng\u1EEB: %1",ErrorParsingMathML:"L\u1ED7i khi ph\u00E2n t\u00EDch MathML",ParsingError:"L\u1ED7i khi ph\u00E2n t\u00EDch MathML: %1",MathMLSingleElement:"MathML ph\u1EA3i ch\u1EC9 c\u00F3 m\u1ED9t ph\u1EA7n t\u1EED g\u1ED1c",MathMLRootElement:"Ph\u1EA7n t\u1EED g\u1ED1c c\u1EE7a MathML ph\u1EA3i l\u00E0 \u003Cmath\u003E, ch\u1EE9 kh\u00F4ng ph\u1EA3i %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/MathML.js");
diff --git a/localization/vi/MathMenu.js b/localization/vi/MathMenu.js
index 539a34ca3b..436a45e9af 100644
--- a/localization/vi/MathMenu.js
+++ b/localization/vi/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/vi/MathMenu.js
+ *  /MathJax-v2/localization/vi/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("vi","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"Xem To\u00E1n D\u01B0\u1EDBi d\u1EA1ng",MathMLcode:"M\u00E3 ngu\u1ED3n MathML",OriginalMathML:"MathML G\u1ED1c",TeXCommands:"L\u1EC7nh TeX",AsciiMathInput:"\u0110\u1EA7u v\u00E0o AsciiMathML",Original:"H\u00ECnh th\u1EE9c G\u1ED1c",ErrorMessage:"Th\u00F4ng b\u00E1o L\u1ED7i",Annotation:"Ch\u00FA th\u00EDch",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML N\u1ED9i dung",OpenMath:"OpenMath",texHints:"Xem g\u1EE3i \u00FD TeX trong MathML",Settings:"T\u00F9y ch\u1ECDn To\u00E1n",ZoomTrigger:"H\u00E0nh \u0111\u1ED9ng Ph\u00F3ng to",Hover:"R\u00EA chu\u1ED9t",Click:"Nh\u1EA5n chu\u1ED9t",DoubleClick:"Nh\u1EA5n \u0111\u00FAp chu\u1ED9t",NoZoom:"Kh\u00F4ng ph\u00F3ng to",TriggerRequires:"Ch\u1EC9 khi B\u1EA5m gi\u1EEF:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"T\u1EF7 l\u1EC7 Ph\u00F3ng to",Renderer:"Ki\u1EC3u K\u1EBFt xu\u1EA5t To\u00E1n",MPHandles:"Cho ph\u00E9p MathPlayer X\u1EED l\u00FD:",MenuEvents:"S\u1EF1 ki\u1EC7n Tr\u00ECnh \u0111\u01A1n",MouseEvents:"S\u1EF1 ki\u1EC7n Chu\u1ED9t",MenuAndMouse:"S\u1EF1 ki\u1EC7n Chu\u1ED9t v\u00E0 Tr\u00ECnh \u0111\u01A1n",FontPrefs:"T\u00F9y ch\u1ECDn Ph\u00F4ng ch\u1EEF",ForHTMLCSS:"Cho HTML+CSS:",Auto:"T\u1EF1 \u0111\u1ED9ng",TeXLocal:"TeX (tr\u00EAn m\u00E1y)",TeXWeb:"TeX (tr\u00EAn Web)",TeXImage:"TeX (h\u00ECnh \u1EA3nh)",STIXLocal:"STIX (tr\u00EAn m\u00E1y)",STIXWeb:"STIX (tr\u00EAn Web)",AsanaMathWeb:"Asana Math (tr\u00EAn Web)",GyrePagellaWeb:"Gyre Pagella (tr\u00EAn Web)",GyreTermesWeb:"Gyre Termes (tr\u00EAn Web)",LatinModernWeb:"Latinh Modern (tr\u00EAn Web)",NeoEulerWeb:"Neo Euler (tr\u00EAn Web)",ContextMenu:"Tr\u00ECnh \u0111\u01A1n Ng\u1EEF c\u1EA3nh",Browser:"Tr\u00ECnh duy\u1EC7t",Scale:"Ph\u00F3ng to T\u1EA5t c\u1EA3 To\u00E1n\u2026",Discoverable:"T\u00F4 s\u00E1ng khi R\u00EA chu\u1ED9t",Locale:"Ng\u00F4n ng\u1EEF",LoadLocale:"T\u1EA3i t\u1EEB URL\u2026",About:"Gi\u1EDBi thi\u1EC7u v\u1EC1 MathJax",Help:"Tr\u1EE3 gi\u00FAp MathJax",localTeXfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF TeX tr\u00EAn m\u00E1y",webTeXfonts:"d\u00F9ng ph\u00F4ng ch\u1EEF TeX tr\u00EAn Web",imagefonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh",localSTIXfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF STIX tr\u00EAn m\u00E1y",webSVGfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF SVG tr\u00EAn Web",genericfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF Unicode chung",wofforotffonts:"Ph\u00F4ng ch\u1EEF WOFF ho\u1EB7c OTF",eotffonts:"Ph\u00F4ng ch\u1EEF EOT",svgfonts:"Ph\u00F4ng ch\u1EEF SVG",WebkitNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u00ECnh nh\u01B0 kh\u00F4ng h\u1ED7 tr\u1EE3 MathML l\u00E0 m\u1ED9t ng\u00F4n ng\u1EEF g\u1ED1c, n\u00EAn k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t MathML c\u00F3 th\u1EC3 l\u00E0m cho kh\u00F4ng \u0111\u1ECDc \u0111\u01B0\u1EE3c c\u00E1c to\u00E1n tr\u00EAn trang.",MSIENativeMMLWarning:"Internet Explorer c\u1EA7n ph\u1EA7n b\u1ED5 sung MathPlayer \u0111\u1EC3 x\u1EED l\u00FD \u0111\u1EA7u ra MathML.",OperaNativeMMLWarning:"Opera kh\u00F4ng h\u1ED7 tr\u1EE3 MathML \u0111\u1EA7y \u0111\u1EE7, n\u00EAn k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t MathML c\u00F3 th\u1EC3 l\u00E0m cho m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c hi\u1EC3n th\u1ECB m\u1ED9t c\u00E1ch kh\u00F4ng ch\u00EDnh x\u00E1c.",SafariNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u1ED7 tr\u1EE3 MathML g\u1ED1c nh\u01B0ng kh\u00F4ng h\u1ED7 tr\u1EE3 t\u1EA5t c\u1EA3 nh\u1EEFng t\u00EDnh n\u0103ng m\u00E0 MathJax s\u1EED d\u1EE5ng, n\u00EAn m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c c\u00F3 th\u1EC3 hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",FirefoxNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u1ED7 tr\u1EE3 MathML g\u1ED1c nh\u01B0ng kh\u00F4ng h\u1ED7 tr\u1EE3 t\u1EA5t c\u1EA3 nh\u1EEFng t\u00EDnh n\u0103ng m\u00E0 MathJax s\u1EED d\u1EE5ng, n\u00EAn m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c c\u00F3 th\u1EC3 hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",MSIESVGWarning:"SVG kh\u00F4ng \u0111\u01B0\u1EE3c h\u1ED7 tr\u1EE3 trong Internet Explorer tr\u01B0\u1EDBc IE9 ho\u1EB7c khi gi\u1EA3 l\u1EADp IE8 tr\u1EDF xu\u1ED1ng. Vi\u1EC7c k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 hi\u1EC3n th\u1ECB SVG s\u1EBD l\u00E0m cho c\u00E1c to\u00E1n hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",LoadURL:"T\u1EA3i d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch t\u1EEB URL n\u00E0y:",BadURL:"URL ph\u1EA3i d\u1EABn \u0111\u1EBFn m\u1ED9t t\u1EADp tin JavaScript \u0111\u1ECBnh r\u00F5 d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch MathJax. C\u00E1c t\u00EAn t\u1EADp tin JavaScript ph\u1EA3i c\u00F3 \u201C.js\u201D \u0111\u1EB1ng sau.",BadData:"Th\u1EA5t b\u1EA1i khi t\u1EA3i d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch t\u1EEB %1",SwitchAnyway:"C\u1EE9 k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t n\u00E0y?\n\n(B\u1EA5m OK \u0111\u1EC3 k\u00EDch ho\u1EA1t, ho\u1EB7c Cancel \u0111\u1EC3 ti\u1EBFp t\u1EE5c s\u1EED d\u1EE5ng ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t hi\u1EC7n t\u1EA1i.)",ScaleMath:"Ph\u00F3ng to t\u1EA5t c\u1EA3 to\u00E1n (so v\u1EDBi v\u0103n b\u1EA3n n\u1EB1m chung quanh) b\u1EB1ng t\u1EF7 l\u1EC7:",NonZeroScale:"T\u1EF7 l\u1EC7 ph\u1EA3i kh\u00F4ng 0",PercentScale:"T\u1EF7 l\u1EC7 ph\u1EA3i l\u00E0 s\u1ED1 ph\u1EA7n tr\u0103m (th\u00ED d\u1EE5 120%%)",IE8warning:"Tr\u00ECnh \u0111\u01A1n MathJax v\u00E0 t\u00EDnh n\u0103ng ph\u00F3ng to s\u1EBD kh\u00F4ng c\u00F2n ho\u1EA1t \u0111\u1ED9ng. B\u1EA1n v\u1EABn c\u00F3 th\u1EC3 b\u1EA5m gi\u1EEF Alt v\u00E0 nh\u1EA5n chu\u1ED9t v\u00E0o m\u1ED9t bi\u1EC3u th\u1EE9c \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n MathJax thay th\u1EBF.\n\nB\u1EA1n c\u00F3 ch\u1EAFc ch\u1EAFn mu\u1ED1n thay \u0111\u1ED5i t\u00F9y ch\u1ECDn MathPlayer?",IE9warning:"Tr\u00ECnh \u0111\u01A1n ng\u1EEF c\u1EA3nh MathJax s\u1EBD b\u1ECB v\u00F4 hi\u1EC7u, nh\u01B0ng b\u1EA1n c\u00F3 th\u1EC3 b\u1EA5m gi\u1EEF Alt v\u00E0 nh\u1EA5n chu\u1ED9t v\u00E0o m\u1ED9t bi\u1EC3u th\u1EE9c \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n MathJax thay th\u1EBF.",NoOriginalForm:"H\u00ECnh th\u1EE9c g\u1ED1c kh\u00F4ng c\u00F3 s\u1EB5n",Close:"\u0110\u00F3ng",EqSource:"M\u00E3 ngu\u1ED3n C\u00F4ng th\u1EE9c MathJax",CloseAboutDialog:"\u0110\u00F3ng h\u1ED9p tho\u1EA1i gi\u1EDBi thi\u1EC7u v\u1EC1 MathJax",FastPreview:"Xem tr\u01B0\u1EDBc nhanh",AssistiveMML:"MathML tr\u1EE3 n\u0103ng",InTabOrder:"Bao g\u1ED3m trong th\u1EE9 t\u1EF1 Tab"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/MathMenu.js");
+MathJax.Localization.addTranslation("vi","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"Xem To\u00E1n D\u01B0\u1EDBi d\u1EA1ng",MathMLcode:"M\u00E3 ngu\u1ED3n MathML",OriginalMathML:"MathML G\u1ED1c",TeXCommands:"L\u1EC7nh TeX",AsciiMathInput:"\u0110\u1EA7u v\u00E0o AsciiMathML",Original:"H\u00ECnh th\u1EE9c G\u1ED1c",ErrorMessage:"Th\u00F4ng b\u00E1o L\u1ED7i",Annotation:"Ch\u00FA th\u00EDch",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML N\u1ED9i dung",OpenMath:"OpenMath",texHints:"Xem g\u1EE3i \u00FD TeX trong MathML",Settings:"T\u00F9y ch\u1ECDn To\u00E1n",ZoomTrigger:"H\u00E0nh \u0111\u1ED9ng Ph\u00F3ng to",Hover:"R\u00EA chu\u1ED9t",Click:"Nh\u1EA5n chu\u1ED9t",DoubleClick:"Nh\u1EA5n \u0111\u00FAp chu\u1ED9t",NoZoom:"Kh\u00F4ng ph\u00F3ng to",TriggerRequires:"Ch\u1EC9 khi B\u1EA5m gi\u1EEF:",Option:"Option",Alt:"Alt",Command:"Command",Control:"Control",Shift:"Shift",ZoomFactor:"T\u1EF7 l\u1EC7 Ph\u00F3ng to",Renderer:"Ki\u1EC3u K\u1EBFt xu\u1EA5t To\u00E1n",MPHandles:"Cho ph\u00E9p MathPlayer X\u1EED l\u00FD:",MenuEvents:"S\u1EF1 ki\u1EC7n Tr\u00ECnh \u0111\u01A1n",MouseEvents:"S\u1EF1 ki\u1EC7n Chu\u1ED9t",MenuAndMouse:"S\u1EF1 ki\u1EC7n Chu\u1ED9t v\u00E0 Tr\u00ECnh \u0111\u01A1n",FontPrefs:"T\u00F9y ch\u1ECDn Ph\u00F4ng ch\u1EEF",ForHTMLCSS:"Cho HTML+CSS:",Auto:"T\u1EF1 \u0111\u1ED9ng",TeXLocal:"TeX (tr\u00EAn m\u00E1y)",TeXWeb:"TeX (tr\u00EAn Web)",TeXImage:"TeX (h\u00ECnh \u1EA3nh)",STIXLocal:"STIX (tr\u00EAn m\u00E1y)",STIXWeb:"STIX (tr\u00EAn Web)",AsanaMathWeb:"Asana Math (tr\u00EAn Web)",GyrePagellaWeb:"Gyre Pagella (tr\u00EAn Web)",GyreTermesWeb:"Gyre Termes (tr\u00EAn Web)",LatinModernWeb:"Latinh Modern (tr\u00EAn Web)",NeoEulerWeb:"Neo Euler (tr\u00EAn Web)",ContextMenu:"Tr\u00ECnh \u0111\u01A1n Ng\u1EEF c\u1EA3nh",Browser:"Tr\u00ECnh duy\u1EC7t",Scale:"Ph\u00F3ng to T\u1EA5t c\u1EA3 To\u00E1n\u2026",Discoverable:"T\u00F4 s\u00E1ng khi R\u00EA chu\u1ED9t",Locale:"Ng\u00F4n ng\u1EEF",LoadLocale:"T\u1EA3i t\u1EEB URL\u2026",About:"Gi\u1EDBi thi\u1EC7u v\u1EC1 MathJax",Help:"Tr\u1EE3 gi\u00FAp MathJax",localTeXfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF TeX tr\u00EAn m\u00E1y",webTeXfonts:"d\u00F9ng ph\u00F4ng ch\u1EEF TeX tr\u00EAn Web",imagefonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF h\u00ECnh \u1EA3nh",localSTIXfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF STIX tr\u00EAn m\u00E1y",webSVGfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF SVG tr\u00EAn Web",genericfonts:"d\u00F9ng c\u00E1c ph\u00F4ng ch\u1EEF Unicode chung",wofforotffonts:"Ph\u00F4ng ch\u1EEF WOFF ho\u1EB7c OTF",eotffonts:"Ph\u00F4ng ch\u1EEF EOT",svgfonts:"Ph\u00F4ng ch\u1EEF SVG",WebkitNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u00ECnh nh\u01B0 kh\u00F4ng h\u1ED7 tr\u1EE3 MathML l\u00E0 m\u1ED9t ng\u00F4n ng\u1EEF g\u1ED1c, n\u00EAn k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t MathML c\u00F3 th\u1EC3 l\u00E0m cho kh\u00F4ng \u0111\u1ECDc \u0111\u01B0\u1EE3c c\u00E1c to\u00E1n tr\u00EAn trang.",MSIENativeMMLWarning:"Internet Explorer c\u1EA7n ph\u1EA7n b\u1ED5 sung MathPlayer \u0111\u1EC3 x\u1EED l\u00FD \u0111\u1EA7u ra MathML.",OperaNativeMMLWarning:"Opera kh\u00F4ng h\u1ED7 tr\u1EE3 MathML \u0111\u1EA7y \u0111\u1EE7, n\u00EAn k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t MathML c\u00F3 th\u1EC3 l\u00E0m cho m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c hi\u1EC3n th\u1ECB m\u1ED9t c\u00E1ch kh\u00F4ng ch\u00EDnh x\u00E1c.",SafariNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u1ED7 tr\u1EE3 MathML g\u1ED1c nh\u01B0ng kh\u00F4ng h\u1ED7 tr\u1EE3 t\u1EA5t c\u1EA3 nh\u1EEFng t\u00EDnh n\u0103ng m\u00E0 MathJax s\u1EED d\u1EE5ng, n\u00EAn m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c c\u00F3 th\u1EC3 hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",FirefoxNativeMMLWarning:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n h\u1ED7 tr\u1EE3 MathML g\u1ED1c nh\u01B0ng kh\u00F4ng h\u1ED7 tr\u1EE3 t\u1EA5t c\u1EA3 nh\u1EEFng t\u00EDnh n\u0103ng m\u00E0 MathJax s\u1EED d\u1EE5ng, n\u00EAn m\u1ED9t s\u1ED1 bi\u1EC3u th\u1EE9c c\u00F3 th\u1EC3 hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",MSIESVGWarning:"SVG kh\u00F4ng \u0111\u01B0\u1EE3c h\u1ED7 tr\u1EE3 trong Internet Explorer tr\u01B0\u1EDBc IE9 ho\u1EB7c khi gi\u1EA3 l\u1EADp IE8 tr\u1EDF xu\u1ED1ng. Vi\u1EC7c k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 hi\u1EC3n th\u1ECB SVG s\u1EBD l\u00E0m cho c\u00E1c to\u00E1n hi\u1EC3n th\u1ECB kh\u00F4ng ch\u00EDnh x\u00E1c.",LoadURL:"T\u1EA3i d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch t\u1EEB URL n\u00E0y:",BadURL:"URL ph\u1EA3i d\u1EABn \u0111\u1EBFn m\u1ED9t t\u1EADp tin JavaScript \u0111\u1ECBnh r\u00F5 d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch MathJax. C\u00E1c t\u00EAn t\u1EADp tin JavaScript ph\u1EA3i c\u00F3 \u201C.js\u201D \u0111\u1EB1ng sau.",BadData:"Th\u1EA5t b\u1EA1i khi t\u1EA3i d\u1EEF li\u1EC7u bi\u00EAn d\u1ECBch t\u1EEB %1",SwitchAnyway:"C\u1EE9 k\u00EDch ho\u1EA1t ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t n\u00E0y?\n\n(B\u1EA5m OK \u0111\u1EC3 k\u00EDch ho\u1EA1t, ho\u1EB7c Cancel \u0111\u1EC3 ti\u1EBFp t\u1EE5c s\u1EED d\u1EE5ng ch\u1EBF \u0111\u1ED9 k\u1EBFt xu\u1EA5t hi\u1EC7n t\u1EA1i.)",ScaleMath:"Ph\u00F3ng to t\u1EA5t c\u1EA3 to\u00E1n (so v\u1EDBi v\u0103n b\u1EA3n n\u1EB1m chung quanh) b\u1EB1ng t\u1EF7 l\u1EC7:",NonZeroScale:"T\u1EF7 l\u1EC7 ph\u1EA3i kh\u00F4ng 0",PercentScale:"T\u1EF7 l\u1EC7 ph\u1EA3i l\u00E0 s\u1ED1 ph\u1EA7n tr\u0103m (th\u00ED d\u1EE5 120%%)",IE8warning:"Tr\u00ECnh \u0111\u01A1n MathJax v\u00E0 t\u00EDnh n\u0103ng ph\u00F3ng to s\u1EBD kh\u00F4ng c\u00F2n ho\u1EA1t \u0111\u1ED9ng. B\u1EA1n v\u1EABn c\u00F3 th\u1EC3 b\u1EA5m gi\u1EEF Alt v\u00E0 nh\u1EA5n chu\u1ED9t v\u00E0o m\u1ED9t bi\u1EC3u th\u1EE9c \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n MathJax thay th\u1EBF.\n\nB\u1EA1n c\u00F3 ch\u1EAFc ch\u1EAFn mu\u1ED1n thay \u0111\u1ED5i t\u00F9y ch\u1ECDn MathPlayer?",IE9warning:"Tr\u00ECnh \u0111\u01A1n ng\u1EEF c\u1EA3nh MathJax s\u1EBD b\u1ECB v\u00F4 hi\u1EC7u, nh\u01B0ng b\u1EA1n c\u00F3 th\u1EC3 b\u1EA5m gi\u1EEF Alt v\u00E0 nh\u1EA5n chu\u1ED9t v\u00E0o m\u1ED9t bi\u1EC3u th\u1EE9c \u0111\u1EC3 m\u1EDF tr\u00ECnh \u0111\u01A1n MathJax thay th\u1EBF.",NoOriginalForm:"H\u00ECnh th\u1EE9c g\u1ED1c kh\u00F4ng c\u00F3 s\u1EB5n",Close:"\u0110\u00F3ng",EqSource:"M\u00E3 ngu\u1ED3n C\u00F4ng th\u1EE9c MathJax",CloseAboutDialog:"\u0110\u00F3ng h\u1ED9p tho\u1EA1i gi\u1EDBi thi\u1EC7u v\u1EC1 MathJax",FastPreview:"Xem tr\u01B0\u1EDBc nhanh",AssistiveMML:"MathML tr\u1EE3 n\u0103ng",InTabOrder:"Bao g\u1ED3m trong th\u1EE9 t\u1EF1 Tab"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/MathMenu.js");
diff --git a/localization/vi/TeX.js b/localization/vi/TeX.js
index cdf7893c08..96cdc52abb 100644
--- a/localization/vi/TeX.js
+++ b/localization/vi/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/vi/TeX.js
+ *  /MathJax-v2/localization/vi/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("vi","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"D\u1EA5u ngo\u1EB7c m\u1EDF c\u00F2n d\u01B0 ho\u1EB7c d\u1EA5u ngo\u1EB7c \u0111\u00F3ng b\u1ECB thi\u1EBFu",ExtraCloseMissingOpen:"D\u1EA5u ngo\u1EB7c \u0111\u00F3ng c\u00F2n d\u01B0 ho\u1EB7c d\u1EA5u ngo\u1EB7c m\u1EDF b\u1ECB thi\u1EBFu",MissingLeftExtraRight:"Thi\u1EBFu \\left ho\u1EB7c d\u01B0 \\right",MissingScript:"Thi\u1EBFu \u0111\u1ED1i s\u1ED1 ch\u1EC9 s\u1ED1",ExtraLeftMissingRight:"D\u01B0 \\left ho\u1EB7c thi\u1EBFu \\right",MissingOpenForSub:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u01A1n m\u1EDF cho ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi",MissingOpenForSup:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u01A1n m\u1EDF cho ch\u1EC9 s\u1ED1 tr\u00EAn",AmbiguousUseOf:"%1 \u0111\u01B0\u1EE3c s\u1EED d\u1EE5ng m\u1ED9t c\u00E1ch kh\u00F4ng r\u00F5 r\u00E0ng",EnvBadEnd:"\\begin{%1} k\u1EBFt th\u00FAc v\u1EDBi \\end{%2}",EnvMissingEnd:"Thi\u1EBFu \\end{%1}",MissingBoxFor:"Thi\u1EBFu h\u1ED9p cho %1",MissingCloseBrace:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u00F3ng",MisplacedMiddle:"%1 ph\u1EA3i n\u1EB1m gi\u1EEFa \\left v\u00E0 \\right",MisplacedLimits:"%1 ch\u1EC9 \u0111\u01B0\u1EE3c cho ph\u00E9p \u0111\u1ED1i v\u1EDBi ph\u00E9p to\u00E1n",MultipleCommand:"Nhi\u1EC1u %1",InvalidMathMLAttr:"Thu\u1ED9c t\u00EDnh MathML kh\u00F4ng h\u1EE3p l\u1EC7: %1",UnknownAttrForElement:"%1 kh\u00F4ng \u0111\u01B0\u1EE3c c\u00F4ng nh\u1EADn l\u00E0 thu\u1ED9c t\u00EDnh cho %2",MissingArgFor:"Thi\u1EBFu \u0111\u1ED1i s\u1ED1 cho %1",InvalidEnv:"T\u00EAn m\u00F4i tr\u01B0\u1EDDng \u201C%1\u201D kh\u00F4ng h\u1EE3p l\u1EC7",UnknownEnv:"M\u00F4i tr\u01B0\u1EDDng kh\u00F4ng r\u00F5 \u201C%1\u201D",TokenNotFoundForCommand:"Kh\u00F4ng t\u00ECm th\u1EA5y %1 cho %2",CommandNotAllowedInEnv:"Kh\u00F4ng cho ph\u00E9p %1 trong m\u00F4i tr\u01B0\u1EDDng %2",MultipleLabel:"Nh\u00E3n \u201C%1\u201D \u0111\u01B0\u1EE3c \u0111\u1ECBnh r\u00F5 nhi\u1EC1u l\u1EA7n",CommandAtTheBeginingOfLine:"%1 ph\u1EA3i n\u1EB1m v\u00E0o \u0111\u1EA7u d\u00F2ng",MultipleBBoxProperty:"%1 \u0111\u01B0\u1EE3c \u0111\u1ECBnh r\u00F5 hai l\u1EA7n trong %2",InvalidDecimalNumber:"S\u1ED1 th\u1EADp ph\u00E2n kh\u00F4ng h\u1EE3p l\u1EC7",InvalidNumber:"S\u1ED1 kh\u00F4ng h\u1EE3p l\u1EC7",NoClosingChar:"Kh\u00F4ng t\u00ECm th\u1EA5y %1 \u0111\u00F3ng",Misplaced:"\u0110\u00E3 \u0111\u1EB7t sai ch\u1ED7 %1",UndefinedControlSequence:"Tr\u00ECnh t\u1EF1 ki\u1EC3m so\u00E1t kh\u00F4ng x\u00E1c \u0111\u1ECBnh %1",DoubleExponent:"Ch\u1EC9 s\u1ED1 tr\u00EAn ch\u1EC9 s\u1ED1 tr\u00EAn: d\u00F9ng d\u1EA5u ngo\u1EB7c m\u00F3c \u0111\u1EC3 l\u00E0m r\u00F5",DoubleSubscripts:"Ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi: d\u00F9ng d\u1EA5u ngo\u1EB7c m\u00F3c \u0111\u1EC3 l\u00E0m r\u00F5",DoubleExponentPrime:"D\u1EA5u ph\u1EA9y tr\u00EAn g\u00E2y ra ch\u1EC9 s\u1ED1 tr\u00EAn ch\u1EC9 s\u1ED1 tr\u00EAn: d\u00F9ng d\u1EA5u ngo\u1EB7c m\u00F3c \u0111\u1EC3 l\u00E0m r\u00F5",CantUseHash1:"B\u1EA1n kh\u00F4ng th\u1EC3 s\u1EED d\u1EE5ng \u201Ck\u00FD t\u1EF1 tham bi\u1EBFn macro #\u201D trong ch\u1EBF \u0111\u1ED9 to\u00E1n",MisplacedMoveRoot:"%1 ch\u1EC9 c\u00F3 th\u1EC3 xu\u1EA5t hi\u1EC7n trong ph\u00E9p c\u0103n",IntegerArg:"\u0110\u1ED1i s\u1ED1 c\u1EE7a %1 ph\u1EA3i l\u00E0 s\u1ED1 nguy\u00EAn",NotMathMLToken:"%1 kh\u00F4ng ph\u1EA3i l\u00E0 ph\u1EA7n t\u1EED d\u1EA5u hi\u1EC7u",MaxMacroSub1:"\u0110\u00E3 v\u01B0\u1EE3t qu\u00E1 s\u1ED1 l\u1EA7n thay th\u1EBF macro t\u1ED1i \u0111a c\u1EE7a MathJax; c\u00F3 ph\u1EA3i g\u1ECDi macro \u0111\u1EC7 quy?",MaxMacroSub2:"\u0110\u00E3 v\u01B0\u1EE3t qu\u00E1 s\u1ED1 l\u1EA7n thay th\u1EBF t\u1ED1i \u0111a c\u1EE7a MathJax; m\u00F4i tr\u01B0\u1EDDng LaTeX c\u00F3 ph\u1EA3i \u0111\u1EC7 quy?",ExtraAlignTab:"Th\u1EBB c\u0103n ch\u1EC9nh d\u01B0 trong v\u0103n b\u1EA3n \\cases",BracketMustBeDimension:"\u0110\u1ED1i s\u1ED1 trong d\u1EA5u ngo\u1EB7c c\u1EE7a %1 ph\u1EA3i l\u00E0 chi\u1EC1u",ExtraCloseLooking:"D\u1EA5u \u0111\u00F3ng b\u1EA5t ng\u1EDD trong khi t\u00ECm ki\u1EBFm %1",MissingCloseBracket:"Kh\u00F4ng t\u00ECm th\u1EA5y d\u1EA5u \u201C]\u201D \u0111\u00F3ng cho \u0111\u1ED1i s\u1ED1 c\u1EE7a %1",MissingOrUnrecognizedDelim:"D\u1EA5u t\u00E1ch b\u1ECB thi\u1EBFu ho\u1EB7c kh\u00F4ng r\u00F5 cho %1",MissingDimOrUnits:"Thi\u1EBFu chi\u1EC1u ho\u1EB7c \u0111\u01A1n v\u1ECB c\u1EE7a %1",MathNotTerminated:"To\u00E1n kh\u00F4ng ch\u1EA5m d\u1EE9t trong h\u1ED9p v\u0103n b\u1EA3n",IllegalMacroParam:"Tham chi\u1EBFu tham bi\u1EBFn macro kh\u00F4ng h\u1EE3p l\u1EC7",MaxBufferSize:"\u0110\u00E3 v\u01B0\u1EE3t qu\u00E1 k\u00EDch th\u01B0\u1EDBc b\u1ED9 \u0111\u1EC7m n\u1ED9i b\u1ED9 c\u1EE7a MathJax; c\u00F3 ph\u1EA3i g\u1ECDi macro \u0111\u1EC7 quy?",IllegalAlign:"\u0110\u00E3 x\u00E1c \u0111\u1ECBnh s\u1EF1 c\u0103n ch\u1EC9nh kh\u00F4ng h\u1EE3p l\u1EC7 trong %1",BadMathStyleFor:"Ki\u1EC3u to\u00E1n h\u1ECFng v\u1EDBi %1",PositiveIntegerArg:"\u0110\u1ED1i s\u1ED1 c\u1EE7a %1 ph\u1EA3i l\u00E0 s\u1ED1 nguy\u00EAn d\u01B0\u01A1ng",ErroneousNestingEq:"C\u1EA5u tr\u00FAc \u0111\u1EB3ng th\u1EE9c b\u1ECB x\u1EBFp l\u1ED3ng sai l\u1EA7m",MultlineRowsOneCol:"C\u00E1c h\u00E0ng trong m\u00F4i tr\u01B0\u1EDDng %1 ph\u1EA3i c\u00F3 \u0111\u00FAng m\u1ED9t c\u1ED9t",InvalidBBoxProperty:"\u201C%1\u201D kh\u00F4ng tr\u00F4ng gi\u1ED1ng nh\u01B0 m\u00E0u, chi\u1EC1u l\u00F3t, ho\u1EB7c ki\u1EC3u",ExtraEndMissingBegin:"D\u01B0 %1 ho\u1EB7c thi\u1EBFu \\begingroup",GlobalNotFollowedBy:"%1 kh\u00F4ng c\u00F3 \\let, \\def, ho\u1EB7c \\newcommand ti\u1EBFp theo",UndefinedColorModel:"M\u00F4 h\u00ECnh m\u00E0u \u201C%1\u201D kh\u00F4ng \u0111\u1ECBnh ngh\u0129a",ModelArg1:"Gi\u00E1 tr\u1ECB m\u00E0u cho m\u00F4 h\u00ECnh %1 \u0111\u00F2i h\u1ECFi 3 s\u1ED1",ModelArg2:"Gi\u00E1 tr\u1ECB m\u00E0u cho m\u00F4 h\u00ECnh %1 ph\u1EA3i \u1EDF gi\u1EEFa %2 v\u00E0 %3",NewextarrowArg1:"\u0110\u1ED1i s\u1ED1 \u0111\u1EA7u ti\u00EAn c\u1EE7a %1 ph\u1EA3i l\u00E0 t\u00EAn tr\u00ECnh t\u1EF1 \u0111i\u1EC1u khi\u1EC3n",NewextarrowArg2:"\u0110\u1ED1i s\u1ED1 th\u1EE9 hai c\u1EE7a %1 ph\u1EA3i l\u00E0 hai s\u1ED1 nguy\u00EAn ph\u00E2n t\u00E1ch b\u1EB1ng d\u1EA5u ph\u1EA9y",NewextarrowArg3:"\u0110\u1ED1i s\u1ED1 th\u1EE9 ba c\u1EE7a %1 ph\u1EA3i l\u00E0 s\u1ED1 k\u00FD t\u1EF1 Unicode",IllegalControlSequenceName:"T\u00EAn tr\u00ECnh t\u1EF1 \u0111i\u1EC1u khi\u1EC3n kh\u00F4ng h\u1EE3p l\u1EC7 cho %1",IllegalParamNumber:"\u0110\u00E3 x\u00E1c \u0111\u1ECBnh s\u1ED1 tham bi\u1EBFn kh\u00F4ng h\u1EE3p l\u1EC7 cho %1",MissingCS:"%1 ph\u1EA3i c\u00F3 tr\u00ECnh t\u1EF1 \u0111i\u1EC1u khi\u1EC3n ti\u1EBFp theo",CantUseHash2:"\u0110\u00E3 s\u1EED d\u1EE5ng # m\u1ED9t c\u00E1ch kh\u00F4ng h\u1EE3p l\u1EC7 trong khu\u00F4n m\u1EABu c\u1EE7a %1",SequentialParam:"Tham bi\u1EBFn c\u1EE7a %1 ph\u1EA3i \u0111\u01B0\u1EE3c \u0111\u00E1nh s\u1ED1 li\u00EAn t\u1EE5c",MissingReplacementString:"Thi\u1EBFu chu\u1ED7i thay th\u1EBF khi \u0111\u1ECBnh ngh\u0129a %1",MismatchUseDef:"\u0110\u00E3 s\u1EED d\u1EE5ng %1 m\u1ED9t c\u00E1ch kh\u00F4ng ph\u00F9 h\u1EE3p v\u1EDBi \u0111\u1ECBnh ngh\u0129a c\u1EE7a n\u00F3",RunawayArgument:"\u0110\u1ED1i s\u1ED1 c\u1EE7a %1 kh\u00F4ng ng\u1EEBng?",NoClosingDelim:"Kh\u00F4ng t\u00ECm th\u1EA5y d\u1EA5u k\u1EBFt th\u00FAc %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/TeX.js");
+MathJax.Localization.addTranslation("vi","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"D\u1EA5u ngo\u1EB7c m\u1EDF c\u00F2n d\u01B0 ho\u1EB7c d\u1EA5u ngo\u1EB7c \u0111\u00F3ng b\u1ECB thi\u1EBFu",ExtraCloseMissingOpen:"D\u1EA5u ngo\u1EB7c \u0111\u00F3ng c\u00F2n d\u01B0 ho\u1EB7c d\u1EA5u ngo\u1EB7c m\u1EDF b\u1ECB thi\u1EBFu",MissingLeftExtraRight:"Thi\u1EBFu \\left ho\u1EB7c d\u01B0 \\right",MissingScript:"Thi\u1EBFu \u0111\u1ED1i s\u1ED1 ch\u1EC9 s\u1ED1",ExtraLeftMissingRight:"D\u01B0 \\left ho\u1EB7c thi\u1EBFu \\right",MissingOpenForSub:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u01A1n m\u1EDF cho ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi",MissingOpenForSup:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u01A1n m\u1EDF cho ch\u1EC9 s\u1ED1 tr\u00EAn",AmbiguousUseOf:"%1 \u0111\u01B0\u1EE3c s\u1EED d\u1EE5ng m\u1ED9t c\u00E1ch kh\u00F4ng r\u00F5 r\u00E0ng",EnvBadEnd:"\\begin{%1} k\u1EBFt th\u00FAc v\u1EDBi \\end{%2}",EnvMissingEnd:"Thi\u1EBFu \\end{%1}",MissingBoxFor:"Thi\u1EBFu h\u1ED9p cho %1",MissingCloseBrace:"Thi\u1EBFu d\u1EA5u ngo\u1EB7c \u0111\u00F3ng",MisplacedMiddle:"%1 ph\u1EA3i n\u1EB1m gi\u1EEFa \\left v\u00E0 \\right",MisplacedLimits:"%1 ch\u1EC9 \u0111\u01B0\u1EE3c cho ph\u00E9p \u0111\u1ED1i v\u1EDBi ph\u00E9p to\u00E1n",MultipleCommand:"Nhi\u1EC1u %1",InvalidMathMLAttr:"Thu\u1ED9c t\u00EDnh MathML kh\u00F4ng h\u1EE3p l\u1EC7: %1",UnknownAttrForElement:"%1 kh\u00F4ng \u0111\u01B0\u1EE3c c\u00F4ng nh\u1EADn l\u00E0 thu\u1ED9c t\u00EDnh cho %2",MissingArgFor:"Thi\u1EBFu \u0111\u1ED1i s\u1ED1 cho %1",InvalidEnv:"T\u00EAn m\u00F4i tr\u01B0\u1EDDng \u201C%1\u201D kh\u00F4ng h\u1EE3p l\u1EC7",UnknownEnv:"M\u00F4i tr\u01B0\u1EDDng kh\u00F4ng r\u00F5 \u201C%1\u201D",TokenNotFoundForCommand:"Kh\u00F4ng t\u00ECm th\u1EA5y %1 cho %2",CommandNotAllowedInEnv:"Kh\u00F4ng cho ph\u00E9p %1 trong m\u00F4i tr\u01B0\u1EDDng %2",MultipleLabel:"Nh\u00E3n \u201C%1\u201D \u0111\u01B0\u1EE3c \u0111\u1ECBnh r\u00F5 nhi\u1EC1u l\u1EA7n",CommandAtTheBeginingOfLine:"%1 ph\u1EA3i n\u1EB1m v\u00E0o \u0111\u1EA7u d\u00F2ng",MultipleBBoxProperty:"%1 \u0111\u01B0\u1EE3c \u0111\u1ECBnh r\u00F5 hai l\u1EA7n trong %2",InvalidDecimalNumber:"S\u1ED1 th\u1EADp ph\u00E2n kh\u00F4ng h\u1EE3p l\u1EC7",InvalidNumber:"S\u1ED1 kh\u00F4ng h\u1EE3p l\u1EC7",NoClosingChar:"Kh\u00F4ng t\u00ECm th\u1EA5y %1 \u0111\u00F3ng",Misplaced:"\u0110\u00E3 \u0111\u1EB7t sai ch\u1ED7 %1",UndefinedControlSequence:"Tr\u00ECnh t\u1EF1 ki\u1EC3m so\u00E1t kh\u00F4ng x\u00E1c \u0111\u1ECBnh %1",DoubleExponent:"Ch\u1EC9 s\u1ED1 tr\u00EAn ch\u1EC9 s\u1ED1 tr\u00EAn: d\u00F9ng d\u1EA5u ngo\u1EB7c m\u00F3c \u0111\u1EC3 l\u00E0m r\u00F5",DoubleSubscripts:"Ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi ch\u1EC9 s\u1ED1 d\u01B0\u1EDBi: d\u00F9ng d\u1EA5u ngo\u1EB7c m\u00F3c \u0111\u1EC3 l\u00E0m r\u00F5",DoubleExponentPrime:"D\u1EA5u ph\u1EA9y tr\u00EAn g\u00E2y ra ch\u1EC9 s\u1ED1 tr\u00EAn ch\u1EC9 s\u1ED1 tr\u00EAn: d\u00F9ng d\u1EA5u ngo\u1EB7c m\u00F3c \u0111\u1EC3 l\u00E0m r\u00F5",CantUseHash1:"B\u1EA1n kh\u00F4ng th\u1EC3 s\u1EED d\u1EE5ng \u201Ck\u00FD t\u1EF1 tham bi\u1EBFn macro #\u201D trong ch\u1EBF \u0111\u1ED9 to\u00E1n",MisplacedMoveRoot:"%1 ch\u1EC9 c\u00F3 th\u1EC3 xu\u1EA5t hi\u1EC7n trong ph\u00E9p c\u0103n",IntegerArg:"\u0110\u1ED1i s\u1ED1 c\u1EE7a %1 ph\u1EA3i l\u00E0 s\u1ED1 nguy\u00EAn",NotMathMLToken:"%1 kh\u00F4ng ph\u1EA3i l\u00E0 ph\u1EA7n t\u1EED d\u1EA5u hi\u1EC7u",MaxMacroSub1:"\u0110\u00E3 v\u01B0\u1EE3t qu\u00E1 s\u1ED1 l\u1EA7n thay th\u1EBF macro t\u1ED1i \u0111a c\u1EE7a MathJax; c\u00F3 ph\u1EA3i g\u1ECDi macro \u0111\u1EC7 quy?",MaxMacroSub2:"\u0110\u00E3 v\u01B0\u1EE3t qu\u00E1 s\u1ED1 l\u1EA7n thay th\u1EBF t\u1ED1i \u0111a c\u1EE7a MathJax; m\u00F4i tr\u01B0\u1EDDng LaTeX c\u00F3 ph\u1EA3i \u0111\u1EC7 quy?",ExtraAlignTab:"Th\u1EBB c\u0103n ch\u1EC9nh d\u01B0 trong v\u0103n b\u1EA3n \\cases",BracketMustBeDimension:"\u0110\u1ED1i s\u1ED1 trong d\u1EA5u ngo\u1EB7c c\u1EE7a %1 ph\u1EA3i l\u00E0 chi\u1EC1u",ExtraCloseLooking:"D\u1EA5u \u0111\u00F3ng b\u1EA5t ng\u1EDD trong khi t\u00ECm ki\u1EBFm %1",MissingCloseBracket:"Kh\u00F4ng t\u00ECm th\u1EA5y d\u1EA5u \u201C]\u201D \u0111\u00F3ng cho \u0111\u1ED1i s\u1ED1 c\u1EE7a %1",MissingOrUnrecognizedDelim:"D\u1EA5u t\u00E1ch b\u1ECB thi\u1EBFu ho\u1EB7c kh\u00F4ng r\u00F5 cho %1",MissingDimOrUnits:"Thi\u1EBFu chi\u1EC1u ho\u1EB7c \u0111\u01A1n v\u1ECB c\u1EE7a %1",MathNotTerminated:"To\u00E1n kh\u00F4ng ch\u1EA5m d\u1EE9t trong h\u1ED9p v\u0103n b\u1EA3n",IllegalMacroParam:"Tham chi\u1EBFu tham bi\u1EBFn macro kh\u00F4ng h\u1EE3p l\u1EC7",MaxBufferSize:"\u0110\u00E3 v\u01B0\u1EE3t qu\u00E1 k\u00EDch th\u01B0\u1EDBc b\u1ED9 \u0111\u1EC7m n\u1ED9i b\u1ED9 c\u1EE7a MathJax; c\u00F3 ph\u1EA3i g\u1ECDi macro \u0111\u1EC7 quy?",IllegalAlign:"\u0110\u00E3 x\u00E1c \u0111\u1ECBnh s\u1EF1 c\u0103n ch\u1EC9nh kh\u00F4ng h\u1EE3p l\u1EC7 trong %1",BadMathStyleFor:"Ki\u1EC3u to\u00E1n h\u1ECFng v\u1EDBi %1",PositiveIntegerArg:"\u0110\u1ED1i s\u1ED1 c\u1EE7a %1 ph\u1EA3i l\u00E0 s\u1ED1 nguy\u00EAn d\u01B0\u01A1ng",ErroneousNestingEq:"C\u1EA5u tr\u00FAc \u0111\u1EB3ng th\u1EE9c b\u1ECB x\u1EBFp l\u1ED3ng sai l\u1EA7m",MultlineRowsOneCol:"C\u00E1c h\u00E0ng trong m\u00F4i tr\u01B0\u1EDDng %1 ph\u1EA3i c\u00F3 \u0111\u00FAng m\u1ED9t c\u1ED9t",InvalidBBoxProperty:"\u201C%1\u201D kh\u00F4ng tr\u00F4ng gi\u1ED1ng nh\u01B0 m\u00E0u, chi\u1EC1u l\u00F3t, ho\u1EB7c ki\u1EC3u",ExtraEndMissingBegin:"D\u01B0 %1 ho\u1EB7c thi\u1EBFu \\begingroup",GlobalNotFollowedBy:"%1 kh\u00F4ng c\u00F3 \\let, \\def, ho\u1EB7c \\newcommand ti\u1EBFp theo",UndefinedColorModel:"M\u00F4 h\u00ECnh m\u00E0u \u201C%1\u201D kh\u00F4ng \u0111\u1ECBnh ngh\u0129a",ModelArg1:"Gi\u00E1 tr\u1ECB m\u00E0u cho m\u00F4 h\u00ECnh %1 \u0111\u00F2i h\u1ECFi 3 s\u1ED1",ModelArg2:"Gi\u00E1 tr\u1ECB m\u00E0u cho m\u00F4 h\u00ECnh %1 ph\u1EA3i \u1EDF gi\u1EEFa %2 v\u00E0 %3",NewextarrowArg1:"\u0110\u1ED1i s\u1ED1 \u0111\u1EA7u ti\u00EAn c\u1EE7a %1 ph\u1EA3i l\u00E0 t\u00EAn tr\u00ECnh t\u1EF1 \u0111i\u1EC1u khi\u1EC3n",NewextarrowArg2:"\u0110\u1ED1i s\u1ED1 th\u1EE9 hai c\u1EE7a %1 ph\u1EA3i l\u00E0 hai s\u1ED1 nguy\u00EAn ph\u00E2n t\u00E1ch b\u1EB1ng d\u1EA5u ph\u1EA9y",NewextarrowArg3:"\u0110\u1ED1i s\u1ED1 th\u1EE9 ba c\u1EE7a %1 ph\u1EA3i l\u00E0 s\u1ED1 k\u00FD t\u1EF1 Unicode",IllegalControlSequenceName:"T\u00EAn tr\u00ECnh t\u1EF1 \u0111i\u1EC1u khi\u1EC3n kh\u00F4ng h\u1EE3p l\u1EC7 cho %1",IllegalParamNumber:"\u0110\u00E3 x\u00E1c \u0111\u1ECBnh s\u1ED1 tham bi\u1EBFn kh\u00F4ng h\u1EE3p l\u1EC7 cho %1",MissingCS:"%1 ph\u1EA3i c\u00F3 tr\u00ECnh t\u1EF1 \u0111i\u1EC1u khi\u1EC3n ti\u1EBFp theo",CantUseHash2:"\u0110\u00E3 s\u1EED d\u1EE5ng # m\u1ED9t c\u00E1ch kh\u00F4ng h\u1EE3p l\u1EC7 trong khu\u00F4n m\u1EABu c\u1EE7a %1",SequentialParam:"Tham bi\u1EBFn c\u1EE7a %1 ph\u1EA3i \u0111\u01B0\u1EE3c \u0111\u00E1nh s\u1ED1 li\u00EAn t\u1EE5c",MissingReplacementString:"Thi\u1EBFu chu\u1ED7i thay th\u1EBF khi \u0111\u1ECBnh ngh\u0129a %1",MismatchUseDef:"\u0110\u00E3 s\u1EED d\u1EE5ng %1 m\u1ED9t c\u00E1ch kh\u00F4ng ph\u00F9 h\u1EE3p v\u1EDBi \u0111\u1ECBnh ngh\u0129a c\u1EE7a n\u00F3",RunawayArgument:"\u0110\u1ED1i s\u1ED1 c\u1EE7a %1 kh\u00F4ng ng\u1EEBng?",NoClosingDelim:"Kh\u00F4ng t\u00ECm th\u1EA5y d\u1EA5u k\u1EBFt th\u00FAc %1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/TeX.js");
diff --git a/localization/vi/vi.js b/localization/vi/vi.js
index 5e5a540f65..96f89d0e40 100644
--- a/localization/vi/vi.js
+++ b/localization/vi/vi.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/vi/vi.js
+ *  /MathJax-v2/localization/vi/vi.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("vi",null,{menuTitle:"Ti\u1EBFng Vi\u1EC7t",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax \u0111\u00E3 t\u00ECm th\u1EA5y m\u1ED9t cookie thi\u1EBFt l\u1EADp c\u1EE7a ng\u01B0\u1EDDi d\u00F9ng c\u00F3 m\u00E3 ngu\u1ED3n \u0111\u1EC3 ch\u1EA1y. B\u1EA1n c\u00F3 mu\u1ED1n ch\u1EA1y n\u00F3?\n\n(Khuy\u00EAn b\u1EA1n b\u1EA5m H\u1EE7y b\u1ECF tr\u1EEB khi b\u1EA1n l\u00E0 ng\u01B0\u1EDDi thi\u1EBFt l\u1EADp cookie.)",MathProcessingError:"L\u1ED7i x\u1EED l\u00FD to\u00E1n",MathError:"L\u1ED7i to\u00E1n",LoadFile:"\u0110ang t\u1EA3i %1",Loading:"\u0110ang t\u1EA3i",LoadFailed:"Th\u1EA5t b\u1EA1i khi t\u1EA3i t\u1EADp tin: %1",ProcessMath:"\u0110ang x\u1EED l\u00FD to\u00E1n: %1%%",Processing:"\u0110ang x\u1EED l\u00FD",TypesetMath:"\u0110ang x\u1EBFp ch\u1EEF to\u00E1n: %1%%",Typesetting:"\u0110ang x\u1EBFp ch\u1EEF",MathJaxNotSupported:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n kh\u00F4ng h\u1ED7 tr\u1EE3 MathJax",ErrorTips:"M\u1EB9o v\u1EB7t g\u1EE1 l\u1ED7i: s\u1EED d\u1EE5ng %%1, ki\u1EC3m tra %%2 trong b\u1EA3ng \u0111i\u1EC1u khi\u1EC3n c\u1EE7a tr\u00ECnh duy\u1EC7t"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/vi.js");
+MathJax.Localization.addTranslation("vi",null,{menuTitle:"Ti\u1EBFng Vi\u1EC7t",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax \u0111\u00E3 t\u00ECm th\u1EA5y m\u1ED9t cookie thi\u1EBFt l\u1EADp c\u1EE7a ng\u01B0\u1EDDi d\u00F9ng c\u00F3 m\u00E3 ngu\u1ED3n \u0111\u1EC3 ch\u1EA1y. B\u1EA1n c\u00F3 mu\u1ED1n ch\u1EA1y n\u00F3?\n\n(Khuy\u00EAn b\u1EA1n b\u1EA5m H\u1EE7y b\u1ECF tr\u1EEB khi b\u1EA1n l\u00E0 ng\u01B0\u1EDDi thi\u1EBFt l\u1EADp cookie.)",MathProcessingError:"L\u1ED7i x\u1EED l\u00FD to\u00E1n",MathError:"L\u1ED7i to\u00E1n",LoadFile:"\u0110ang t\u1EA3i %1",Loading:"\u0110ang t\u1EA3i",LoadFailed:"Th\u1EA5t b\u1EA1i khi t\u1EA3i t\u1EADp tin: %1",ProcessMath:"\u0110ang x\u1EED l\u00FD to\u00E1n: %1%%",Processing:"\u0110ang x\u1EED l\u00FD",TypesetMath:"\u0110ang x\u1EBFp ch\u1EEF to\u00E1n: %1%%",Typesetting:"\u0110ang x\u1EBFp ch\u1EEF",MathJaxNotSupported:"Tr\u00ECnh duy\u1EC7t c\u1EE7a b\u1EA1n kh\u00F4ng h\u1ED7 tr\u1EE3 MathJax",ErrorTips:"M\u1EB9o v\u1EB7t g\u1EE1 l\u1ED7i: s\u1EED d\u1EE5ng %%1, ki\u1EC3m tra %%2 trong b\u1EA3ng \u0111i\u1EC1u khi\u1EC3n c\u1EE7a tr\u00ECnh duy\u1EC7t"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return String(a).replace(".",",")}});MathJax.Ajax.loadComplete("[MathJax]/localization/vi/vi.js");
diff --git a/localization/zh-hans/FontWarnings.js b/localization/zh-hans/FontWarnings.js
index e5bb707d7c..158091fba7 100644
--- a/localization/zh-hans/FontWarnings.js
+++ b/localization/zh-hans/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hans/FontWarnings.js
+ *  /MathJax-v2/localization/zh-hans/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax\u4F7F\u7528\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u6765\u663E\u793A\u6B64\u9875\u4E0A\u663E\u793A\u6570\u5B66\u76F8\u5173\u5185\u5BB9\u3002\u8FD9\u5C06\u82B1\u8D39\u8F83\u957F\u65F6\u95F4\u4E0B\u8F7D\uFF0C\u6240\u4EE5\u6211\u4EEC\u5F3A\u70C8\u5EFA\u8BAE\u60A8\u76F4\u63A5\u5728\u60A8\u7684\u64CD\u4F5C\u7CFB\u7EDF\u7684\u5B57\u4F53\u6587\u4EF6\u5939\u4E2D\u5B89\u88C5\u6570\u5B66\u7B26\u53F7\u5B57\u4F53\u4EE5\u4FBF\u7ACB\u523B\u663E\u793A\u3002",imageFonts:"MathJax\u4F7F\u7528\u56FE\u50CF\u5B57\u4F53\u800C\u4E0D\u662F\u672C\u5730\u6216\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u3002\u8FD9\u5C06\u6BD4\u5E73\u5E38\u663E\u793A\u66F4\u6162\uFF0C\u4E14\u76F8\u5173\u6570\u5B66\u7B26\u53F7\u53EF\u80FD\u65E0\u6CD5\u5168\u606F\u7684\u88AB\u6253\u5370\u673A\u6253\u5370\u3002",noFonts:"MathJax\u65E0\u6CD5\u5B9A\u4F4D\u60A8\u4F7F\u7528\u4E2D\u7684\u5B57\u4F53\u4EE5\u663E\u793A\u6570\u5B66\u7B26\u53F7\uFF0C\u56FE\u50CF\u5B57\u4F53\u4EA6\u65E0\u6CD5\u4F7F\u7528\uFF0C\u6240\u4EE5\u6211\u4EEC\u4E0D\u5F97\u4E0D\u8C03\u7528Unicode\u5B57\u7B26\u4EE5\u663E\u793A\u4E4B\u3002\u67D0\u4E9B\u5B57\u7B26\u5C06\u65E0\u6CD5\u6B63\u786E\u663E\u793A\uFF0C\u4E43\u81F3\u5F7B\u5E95\u65E0\u6CD5\u663E\u793A\u3002",webFonts:"\u73B0\u65F6\u5927\u591A\u6570\u6D4F\u89C8\u5668\u5141\u8BB8\u901A\u8FC7\u4E92\u8054\u7F51\u4E0B\u8F7D\u5B57\u4F53\u3002\u66F4\u65B0\u60A8\u7684\u6D4F\u89C8\u5668\u81F3\u6700\u65B0\u7248\u672C\uFF08\u6216\u8005\u5E72\u8106\u66F4\u6362\u6D4F\u89C8\u5668\uFF09\u4EE5\u4FBF\u5728\u6B64\u9875\u9762\u63D0\u9AD8\u6570\u5B66\u7B26\u53F7\u7684\u663E\u793A\u8D28\u91CF\u3002",fonts:"MathJax\u53EF\u4F7F\u7528[STIX fonts](%1)\u6216\u8005[MathJax TeX fonts](%2)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u8FD9\u4E9B\u5B57\u4F53\u4EE5\u6539\u5584\u60A8\u7684MathJax\u4F53\u9A8C\u3002",STIXPage:"\u6B64\u9875\u9762\u88AB\u8BBE\u8BA1\u4E3A\u4F7F\u7528[STIX fonts](%1)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u5B83\u4EE5\u589E\u52A0\u60A8\u7684MathJax\u4F53\u9A8C\u3002",TeXPage:"\u6B64\u9875\u9762\u88AB\u8BBE\u8BA1\u4E3A\u4F7F\u7528[MathJax TeX fonts](%1)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u5B83\u4EE5\u589E\u52A0\u60A8\u7684MathJax\u4F53\u9A8C\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/FontWarnings.js");
+MathJax.Localization.addTranslation("zh-hans","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax\u4F7F\u7528\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u6765\u663E\u793A\u6B64\u9875\u4E0A\u663E\u793A\u6570\u5B66\u76F8\u5173\u5185\u5BB9\u3002\u8FD9\u5C06\u82B1\u8D39\u8F83\u957F\u65F6\u95F4\u4E0B\u8F7D\uFF0C\u6240\u4EE5\u6211\u4EEC\u5F3A\u70C8\u5EFA\u8BAE\u60A8\u76F4\u63A5\u5728\u60A8\u7684\u64CD\u4F5C\u7CFB\u7EDF\u7684\u5B57\u4F53\u6587\u4EF6\u5939\u4E2D\u5B89\u88C5\u6570\u5B66\u7B26\u53F7\u5B57\u4F53\u4EE5\u4FBF\u7ACB\u523B\u663E\u793A\u3002",imageFonts:"MathJax\u4F7F\u7528\u56FE\u50CF\u5B57\u4F53\u800C\u4E0D\u662F\u672C\u5730\u6216\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u3002\u8FD9\u5C06\u6BD4\u5E73\u5E38\u663E\u793A\u66F4\u6162\uFF0C\u4E14\u76F8\u5173\u6570\u5B66\u7B26\u53F7\u53EF\u80FD\u65E0\u6CD5\u5168\u606F\u7684\u88AB\u6253\u5370\u673A\u6253\u5370\u3002",noFonts:"MathJax\u65E0\u6CD5\u5B9A\u4F4D\u60A8\u4F7F\u7528\u4E2D\u7684\u5B57\u4F53\u4EE5\u663E\u793A\u6570\u5B66\u7B26\u53F7\uFF0C\u56FE\u50CF\u5B57\u4F53\u4EA6\u65E0\u6CD5\u4F7F\u7528\uFF0C\u6240\u4EE5\u6211\u4EEC\u4E0D\u5F97\u4E0D\u8C03\u7528Unicode\u5B57\u7B26\u4EE5\u663E\u793A\u4E4B\u3002\u67D0\u4E9B\u5B57\u7B26\u5C06\u65E0\u6CD5\u6B63\u786E\u663E\u793A\uFF0C\u4E43\u81F3\u5F7B\u5E95\u65E0\u6CD5\u663E\u793A\u3002",webFonts:"\u73B0\u65F6\u5927\u591A\u6570\u6D4F\u89C8\u5668\u5141\u8BB8\u901A\u8FC7\u4E92\u8054\u7F51\u4E0B\u8F7D\u5B57\u4F53\u3002\u66F4\u65B0\u60A8\u7684\u6D4F\u89C8\u5668\u81F3\u6700\u65B0\u7248\u672C\uFF08\u6216\u8005\u5E72\u8106\u66F4\u6362\u6D4F\u89C8\u5668\uFF09\u4EE5\u4FBF\u5728\u6B64\u9875\u9762\u63D0\u9AD8\u6570\u5B66\u7B26\u53F7\u7684\u663E\u793A\u8D28\u91CF\u3002",fonts:"MathJax\u53EF\u4F7F\u7528[STIX fonts](%1)\u6216\u8005[MathJax TeX fonts](%2)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u8FD9\u4E9B\u5B57\u4F53\u4EE5\u6539\u5584\u60A8\u7684MathJax\u4F53\u9A8C\u3002",STIXPage:"\u6B64\u9875\u9762\u88AB\u8BBE\u8BA1\u4E3A\u4F7F\u7528[STIX fonts](%1)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u5B83\u4EE5\u589E\u52A0\u60A8\u7684MathJax\u4F53\u9A8C\u3002",TeXPage:"\u6B64\u9875\u9762\u88AB\u8BBE\u8BA1\u4E3A\u4F7F\u7528[MathJax TeX fonts](%1)\u3002\u4E0B\u8F7D\u5E76\u5B89\u88C5\u5B83\u4EE5\u589E\u52A0\u60A8\u7684MathJax\u4F53\u9A8C\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/FontWarnings.js");
diff --git a/localization/zh-hans/HTML-CSS.js b/localization/zh-hans/HTML-CSS.js
index 6688934e36..84b1fa7188 100644
--- a/localization/zh-hans/HTML-CSS.js
+++ b/localization/zh-hans/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hans/HTML-CSS.js
+ *  /MathJax-v2/localization/zh-hans/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u52A0\u8F7Dweb\u5B57\u4F53%1",CantLoadWebFont:"Web\u5B57\u4F53%1\u65E0\u6CD5\u52A0\u8F7D",FirefoxCantLoadWebFont:"\u60A8\u5728\u4F7F\u7528\u706B\u72D0\u6D4F\u89C8\u5668\uFF0C\u5979\u4E0D\u652F\u6301\u4ECE\u8FDC\u7A0B\u4E3B\u673A\u4E0B\u8F7D\u4EFB\u4F55web\u5B57\u4F53",CantFindFontUsing:"\u65E0\u6CD5\u627E\u5230\u4F7F\u7528%1\u7684\u6709\u6548\u5B57\u4F53",WebFontsNotAvailable:"Web\u5B57\u4F53\u4E0D\u77E5\u4E3A\u4F55\u65E0\u6CD5\u4F7F\u7528\uFF1F\uFF01\u2014\u2014\u6211\u4EEC\u5C06\u4E3A\u9601\u4E0B\u8F6C\u6362\u4E3A\u56FE\u7247\u5B57\u4F53"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/HTML-CSS.js");
+MathJax.Localization.addTranslation("zh-hans","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u52A0\u8F7Dweb\u5B57\u4F53%1",CantLoadWebFont:"Web\u5B57\u4F53%1\u65E0\u6CD5\u52A0\u8F7D",FirefoxCantLoadWebFont:"\u60A8\u5728\u4F7F\u7528\u706B\u72D0\u6D4F\u89C8\u5668\uFF0C\u5979\u4E0D\u652F\u6301\u4ECE\u8FDC\u7A0B\u4E3B\u673A\u4E0B\u8F7D\u4EFB\u4F55web\u5B57\u4F53",CantFindFontUsing:"\u65E0\u6CD5\u627E\u5230\u4F7F\u7528%1\u7684\u6709\u6548\u5B57\u4F53",WebFontsNotAvailable:"Web\u5B57\u4F53\u4E0D\u77E5\u4E3A\u4F55\u65E0\u6CD5\u4F7F\u7528\uFF1F\uFF01\u2014\u2014\u6211\u4EEC\u5C06\u4E3A\u9601\u4E0B\u8F6C\u6362\u4E3A\u56FE\u7247\u5B57\u4F53"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/HTML-CSS.js");
diff --git a/localization/zh-hans/HelpDialog.js b/localization/zh-hans/HelpDialog.js
index 8c7b4cdc38..2d436b12c4 100644
--- a/localization/zh-hans/HelpDialog.js
+++ b/localization/zh-hans/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hans/HelpDialog.js
+ *  /MathJax-v2/localization/zh-hans/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax\u5E2E\u52A9",MathJax:"*MathJax*\u662F\u4E00\u79CD\u8BA9\u7F51\u9875\u5236\u4F5C\u8005\u5F80\u7F51\u9875\u4E2D\u52A0\u5165\u6570\u5B66\u5F0F\u7684JavaScript\u8FD0\u884C\u5E93\u3002\u4F5C\u4E3A\u8BFB\u8005\uFF0C\u60A8\u4E0D\u9700\u8981\u505A\u4EFB\u4F55\u4F7F\u5176\u51FA\u73B0\u7684\u4E8B\u60C5\u3002",Browsers:"*\u6D4F\u89C8\u5668*\uFF1AMathJax\u53EF\u4EE5\u5728\u6240\u6709\u8F83\u65B0\u6D4F\u89C8\u5668\u4E0A\u5DE5\u4F5C\uFF0C\u5305\u62ECIE6+\u3001Firefox 3+\u3001Chrome 0.2+\u3001Safari 2+\u3001Opera 9.6+\u548C\u5927\u591A\u6570\u79FB\u52A8\u6D4F\u89C8\u5668\u3002",Menu:"*\u6570\u5F0F\u83DC\u5355*\uFF1AMathJax\u7ED9\u6570\u5F0F\u6DFB\u52A0\u4E86\u5FEB\u6377\u83DC\u5355\u3002\u53F3\u952E\u6216\u6309Ctrl\u7136\u540E\u70B9\u51FB\u4EFB\u4F55\u6570\u5F0F\u5373\u53EF\u8FDB\u5165\u83DC\u5355\u3002",ShowMath:"*\u6570\u5F0F\u663E\u793A\u5F62\u5F0F*\u5141\u8BB8\u60A8\u6D4F\u89C8\u516C\u5F0F\u7684\u6E90\u4EE3\u7801\u4EE5\u4FBF\u590D\u5236\u7C98\u8D34\uFF08\u4EE5\u539F\u59CB\u5F62\u5F0F\u6216MathML\uFF09\u3002",Settings:"*\u6570\u5B66\u8BBE\u7F6E*\u91CC\u60A8\u60A8\u53EF\u4EE5\u8C03\u6574MathJax\u7684\u5404\u79CD\u529F\u80FD\uFF0C\u6BD4\u5982\u8BF4\u6570\u5F0F\u7684\u5927\u5C0F\uFF0C\u548C\u663E\u793A\u7B49\u5F0F\u7684\u673A\u7406\u3002",Language:"*\u8BED\u8A00*\u7ED9\u60A8\u9009\u62E9MathJax\u7528\u4F5C\u83DC\u5355\u548C\u8B66\u544A\u4FE1\u606F\u7684\u8BED\u8A00\u3002",Zoom:"*\u6570\u5F0F\u7F29\u653E*\uFF1A\u5982\u679C\u60A8\u6D4F\u89C8\u7B49\u5F0F\u65F6\u9047\u5230\u56F0\u96BE\uFF0CMathJax\u53EF\u4EE5\u5C06\u5176\u653E\u5927\u6765\u4F7F\u60A8\u83B7\u5F97\u66F4\u597D\u7684\u4F53\u9A8C\u3002",Accessibilty:"*\u8F85\u52A9\u529F\u80FD*\uFF1AMathJax\u4F1A\u81EA\u52A8\u4E0E\u8BBF\u95EE\u8005\u4EA4\u4E92\u4F7F\u89C6\u89C9\u969C\u788D\u8005\u7406\u89E3\u6570\u5F0F\u66F4\u52A0\u5BB9\u6613\u3002",Fonts:"*\u5B57\u4F53*\uFF1AMathJax\u5C06\u4F1A\u4F7F\u7528\u60A8\u7535\u8111\u4E0A\u5B89\u88C5\u7684\u67D0\u4E9B\u6570\u5F0F\u5B57\u4F53\u6765\u663E\u793A\u6570\u5F0F\uFF1B\u5982\u679C\u6CA1\u6709\u5B89\u88C5\u7684\u8BDD\uFF0C\u5B83\u5C06\u4F7F\u7528\u7F51\u7EDC\u4E0A\u7684\u5B57\u4F53\u3002\u867D\u7136\u5E76\u975E\u5FC5\u8981\uFF0C\u4F46\u662F\u5C06\u8FD9\u4E9B\u5B57\u4F53\u5B89\u88C5\u5230\u672C\u5730\u80FD\u52A0\u901F\u6570\u5F0F\u7684\u663E\u793A\u3002\u6211\u4EEC\u5EFA\u8BAE\u60A8\u5B89\u88C5[STIX fonts](%1)\u3002",CloseDialog:"\u5173\u95ED\u5E2E\u52A9\u5BF9\u8BDD"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/HelpDialog.js");
+MathJax.Localization.addTranslation("zh-hans","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"MathJax\u5E2E\u52A9",MathJax:"*MathJax*\u662F\u4E00\u79CD\u8BA9\u7F51\u9875\u5236\u4F5C\u8005\u5F80\u7F51\u9875\u4E2D\u52A0\u5165\u6570\u5B66\u5F0F\u7684JavaScript\u8FD0\u884C\u5E93\u3002\u4F5C\u4E3A\u8BFB\u8005\uFF0C\u60A8\u4E0D\u9700\u8981\u505A\u4EFB\u4F55\u4F7F\u5176\u51FA\u73B0\u7684\u4E8B\u60C5\u3002",Browsers:"*\u6D4F\u89C8\u5668*\uFF1AMathJax\u53EF\u4EE5\u5728\u6240\u6709\u8F83\u65B0\u6D4F\u89C8\u5668\u4E0A\u5DE5\u4F5C\uFF0C\u5305\u62ECIE6+\u3001Firefox 3+\u3001Chrome 0.2+\u3001Safari 2+\u3001Opera 9.6+\u548C\u5927\u591A\u6570\u79FB\u52A8\u6D4F\u89C8\u5668\u3002",Menu:"*\u6570\u5F0F\u83DC\u5355*\uFF1AMathJax\u7ED9\u6570\u5F0F\u6DFB\u52A0\u4E86\u5FEB\u6377\u83DC\u5355\u3002\u53F3\u952E\u6216\u6309Ctrl\u7136\u540E\u70B9\u51FB\u4EFB\u4F55\u6570\u5F0F\u5373\u53EF\u8FDB\u5165\u83DC\u5355\u3002",ShowMath:"*\u6570\u5F0F\u663E\u793A\u5F62\u5F0F*\u5141\u8BB8\u60A8\u6D4F\u89C8\u516C\u5F0F\u7684\u6E90\u4EE3\u7801\u4EE5\u4FBF\u590D\u5236\u7C98\u8D34\uFF08\u4EE5\u539F\u59CB\u5F62\u5F0F\u6216MathML\uFF09\u3002",Settings:"*\u6570\u5B66\u8BBE\u7F6E*\u91CC\u60A8\u60A8\u53EF\u4EE5\u8C03\u6574MathJax\u7684\u5404\u79CD\u529F\u80FD\uFF0C\u6BD4\u5982\u8BF4\u6570\u5F0F\u7684\u5927\u5C0F\uFF0C\u548C\u663E\u793A\u7B49\u5F0F\u7684\u673A\u7406\u3002",Language:"*\u8BED\u8A00*\u7ED9\u60A8\u9009\u62E9MathJax\u7528\u4F5C\u83DC\u5355\u548C\u8B66\u544A\u4FE1\u606F\u7684\u8BED\u8A00\u3002",Zoom:"*\u6570\u5F0F\u7F29\u653E*\uFF1A\u5982\u679C\u60A8\u6D4F\u89C8\u7B49\u5F0F\u65F6\u9047\u5230\u56F0\u96BE\uFF0CMathJax\u53EF\u4EE5\u5C06\u5176\u653E\u5927\u6765\u4F7F\u60A8\u83B7\u5F97\u66F4\u597D\u7684\u4F53\u9A8C\u3002",Accessibilty:"*\u8F85\u52A9\u529F\u80FD*\uFF1AMathJax\u4F1A\u81EA\u52A8\u4E0E\u8BBF\u95EE\u8005\u4EA4\u4E92\u4F7F\u89C6\u89C9\u969C\u788D\u8005\u7406\u89E3\u6570\u5F0F\u66F4\u52A0\u5BB9\u6613\u3002",Fonts:"*\u5B57\u4F53*\uFF1AMathJax\u5C06\u4F1A\u4F7F\u7528\u60A8\u7535\u8111\u4E0A\u5B89\u88C5\u7684\u67D0\u4E9B\u6570\u5F0F\u5B57\u4F53\u6765\u663E\u793A\u6570\u5F0F\uFF1B\u5982\u679C\u6CA1\u6709\u5B89\u88C5\u7684\u8BDD\uFF0C\u5B83\u5C06\u4F7F\u7528\u7F51\u7EDC\u4E0A\u7684\u5B57\u4F53\u3002\u867D\u7136\u5E76\u975E\u5FC5\u8981\uFF0C\u4F46\u662F\u5C06\u8FD9\u4E9B\u5B57\u4F53\u5B89\u88C5\u5230\u672C\u5730\u80FD\u52A0\u901F\u6570\u5F0F\u7684\u663E\u793A\u3002\u6211\u4EEC\u5EFA\u8BAE\u60A8\u5B89\u88C5[STIX fonts](%1)\u3002",CloseDialog:"\u5173\u95ED\u5E2E\u52A9\u5BF9\u8BDD"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/HelpDialog.js");
diff --git a/localization/zh-hans/MathML.js b/localization/zh-hans/MathML.js
index bc11bfa2d0..cf84f6fa78 100644
--- a/localization/zh-hans/MathML.js
+++ b/localization/zh-hans/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hans/MathML.js
+ *  /MathJax-v2/localization/zh-hans/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u9519\u8BEF\u7684\u79FB\u52A8\u5B57\u5F62\uFF1A%1",BadMglyphFont:"\u9519\u8BEF\u5B57\u4F53\uFF1A%1",MathPlayer:"MathJax\u65E0\u6CD5\u542F\u7528MathPlayer\u3002\n\n\u5982\u679C\u8FD8\u6CA1\u6709\u5B89\u88C5MathPlayer\uFF0C\u60A8\u5FC5\u987B\u5148\u5B89\u88C5MathPlayer\u3002\u5982\u679C\u60A8\u7684\u5B89\u5168\u8BBE\u7F6E\u6709\u53EF\u80FD\u4F1A\u963B\u6B62ActiveX\u7684\u8FD0\u884C\uFF0C\u8BF7\u5728\u5DE5\u5177\u83DC\u5355\u4E0B\u7684Internet \u9009\u9879\u4E2D\u9009\u62E9\u5B89\u5168\u6807\u7B7E\u7136\u540E\u70B9\u51FB\u81EA\u5B9A\u4E49\u7EA7\u522B\uFF0C\u68C0\u67E5\u201C\u4E8C\u8FDB\u5236\u6587\u4EF6\u548C\u811A\u672C\u884C\u4E3A\u201D\u548C\u201C\u8FD0\u884C ActiveX \u63A7\u4EF6\u201D\u662F\u5426\u5DF2\u542F\u7528\u3002\n\n\u76EE\u524D\u60A8\u770B\u5230\u7684\u53EA\u80FD\u662F\u9519\u8BEF\u4FE1\u606F\u800C\u975E\u6392\u7248\u6570\u5F0F\u3002",CantCreateXMLParser:"MathJax\u65E0\u6CD5\u4E3AMathML\u521B\u5EFAXML\u89E3\u6790\u5668\u3002\u8BF7\u68C0\u67E5\u5B89\u5168\u8BBE\u7F6E\n\u201C\u5BF9\u6807\u8BB0\u4E3A\u53EF\u5B89\u5168\u6267\u884C\u811A\u672C\u7684 Active \u63A7\u4EF6\u6267\u884C\u811A\u672C\u201D\n\u662F\u5426\u5DF2\u5F00\u542F\uFF08\u5728\u5DE5\u5177\u4E2D\u5F00\u542FInternet \u9009\u9879\u7136\u540E\u9009\u62E9\u5B89\u5168\n\u9762\u677F\uFF0C\u70B9\u81EA\u5B9A\u4E49\u7EA7\u522B\u6309\u94AE\u627E\u5230\u8FD9\u4E2A\u9009\u9879\u5E76\u5F00\u542F\uFF09\u3002\n\nMathJax\u5C06\u65E0\u6CD5\u5904\u7406MathML\u7B49\u5F0F",UnknownNodeType:"\u672A\u77E5\u7684\u8282\u70B9\u7C7B\u578B\uFF1A%1",UnexpectedTextNode:"\u610F\u5916\u7684\u6587\u672C\u8282\u70B9\uFF1A%1",ErrorParsingMathML:"\u89E3\u6790MathML\u65F6\u51FA\u9519",ParsingError:"\u89E3\u6790MathML\u65F6\u51FA\u9519\uFF1A%1",MathMLSingleElement:"MathML\u5FC5\u987B\u7528\u5355\u4E2A\u5143\u7D20\u5EFA\u7ACB",MathMLRootElement:"MathML\u5FC5\u987B\u7528\u003Cmath\u003E\u5143\u7D20\u5EFA\u7ACB\uFF0C\u800C\u4E0D\u662F%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/MathML.js");
+MathJax.Localization.addTranslation("zh-hans","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"\u9519\u8BEF\u7684\u79FB\u52A8\u5B57\u5F62\uFF1A%1",BadMglyphFont:"\u9519\u8BEF\u5B57\u4F53\uFF1A%1",MathPlayer:"MathJax\u65E0\u6CD5\u542F\u7528MathPlayer\u3002\n\n\u5982\u679C\u8FD8\u6CA1\u6709\u5B89\u88C5MathPlayer\uFF0C\u60A8\u5FC5\u987B\u5148\u5B89\u88C5MathPlayer\u3002\u5982\u679C\u60A8\u7684\u5B89\u5168\u8BBE\u7F6E\u6709\u53EF\u80FD\u4F1A\u963B\u6B62ActiveX\u7684\u8FD0\u884C\uFF0C\u8BF7\u5728\u5DE5\u5177\u83DC\u5355\u4E0B\u7684Internet \u9009\u9879\u4E2D\u9009\u62E9\u5B89\u5168\u6807\u7B7E\u7136\u540E\u70B9\u51FB\u81EA\u5B9A\u4E49\u7EA7\u522B\uFF0C\u68C0\u67E5\u201C\u4E8C\u8FDB\u5236\u6587\u4EF6\u548C\u811A\u672C\u884C\u4E3A\u201D\u548C\u201C\u8FD0\u884C ActiveX \u63A7\u4EF6\u201D\u662F\u5426\u5DF2\u542F\u7528\u3002\n\n\u76EE\u524D\u60A8\u770B\u5230\u7684\u53EA\u80FD\u662F\u9519\u8BEF\u4FE1\u606F\u800C\u975E\u6392\u7248\u6570\u5F0F\u3002",CantCreateXMLParser:"MathJax\u65E0\u6CD5\u4E3AMathML\u521B\u5EFAXML\u89E3\u6790\u5668\u3002\u8BF7\u68C0\u67E5\u5B89\u5168\u8BBE\u7F6E\n\u201C\u5BF9\u6807\u8BB0\u4E3A\u53EF\u5B89\u5168\u6267\u884C\u811A\u672C\u7684 Active \u63A7\u4EF6\u6267\u884C\u811A\u672C\u201D\n\u662F\u5426\u5DF2\u5F00\u542F\uFF08\u5728\u5DE5\u5177\u4E2D\u5F00\u542FInternet \u9009\u9879\u7136\u540E\u9009\u62E9\u5B89\u5168\n\u9762\u677F\uFF0C\u70B9\u81EA\u5B9A\u4E49\u7EA7\u522B\u6309\u94AE\u627E\u5230\u8FD9\u4E2A\u9009\u9879\u5E76\u5F00\u542F\uFF09\u3002\n\nMathJax\u5C06\u65E0\u6CD5\u5904\u7406MathML\u7B49\u5F0F",UnknownNodeType:"\u672A\u77E5\u7684\u8282\u70B9\u7C7B\u578B\uFF1A%1",UnexpectedTextNode:"\u610F\u5916\u7684\u6587\u672C\u8282\u70B9\uFF1A%1",ErrorParsingMathML:"\u89E3\u6790MathML\u65F6\u51FA\u9519",ParsingError:"\u89E3\u6790MathML\u65F6\u51FA\u9519\uFF1A%1",MathMLSingleElement:"MathML\u5FC5\u987B\u7528\u5355\u4E2A\u5143\u7D20\u5EFA\u7ACB",MathMLRootElement:"MathML\u5FC5\u987B\u7528\u003Cmath\u003E\u5143\u7D20\u5EFA\u7ACB\uFF0C\u800C\u4E0D\u662F%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/MathML.js");
diff --git a/localization/zh-hans/MathMenu.js b/localization/zh-hans/MathMenu.js
index c3c8cf32f2..8798ac848a 100644
--- a/localization/zh-hans/MathMenu.js
+++ b/localization/zh-hans/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hans/MathMenu.js
+ *  /MathJax-v2/localization/zh-hans/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u6570\u5F0F\u663E\u793A\u5F62\u5F0F",MathMLcode:"MathML\u4EE3\u7801",OriginalMathML:"\u539F\u59CB\u7684MathML",TeXCommands:"TeX\u547D\u4EE4",AsciiMathInput:"AsciiMathML\u8F93\u5165",Original:"\u539F\u59CB\u683C\u5F0F",ErrorMessage:"\u9519\u8BEF\u4FE1\u606F",Annotation:"\u6CE8\u91CA",TeX:"TeX",StarMath:"StarMath",Maple:"\u67AB\u53F6",ContentMathML:"MathML\u5185\u5BB9",OpenMath:"OpenMath",texHints:"\u5728MathML\u4E2D\u663E\u793ATeX\u63D0\u793A",Settings:"\u6570\u5B66\u8BBE\u7F6E",ZoomTrigger:"\u7F29\u653E\u89E6\u53D1",Hover:"\u6307\u9488\u60AC\u505C",Click:"\u70B9\u51FB",DoubleClick:"\u53CC\u51FB",NoZoom:"\u5E76\u65E0\u7F29\u653E",TriggerRequires:"\u89E6\u53D1\u9700\u8981\uFF1A",Option:"\u9009\u9879",Alt:"Alt\u952E",Command:"Command\u952E",Control:"Ctrl\u952E",Shift:"Shift\u952E",ZoomFactor:"\u53D8\u7126\u500D\u7387",Renderer:"\u6570\u5B66\u6E32\u67D3",MPHandles:"\u5141\u8BB8MathPlayer\u5904\u7406\uFF1A",MenuEvents:"\u83DC\u5355\u4E8B\u4EF6",MouseEvents:"\u9F20\u6807\u4E8B\u4EF6",MenuAndMouse:"\u9F20\u6807\u548C\u83DC\u5355\u4E8B\u4EF6",FontPrefs:"\u5B57\u4F53\u8BBE\u7F6E",ForHTMLCSS:"\u7528\u4E8EHTML-CSS\uFF1A",Auto:"\u81EA\u52A8",TeXLocal:"TeX\uFF08\u672C\u5730\uFF09",TeXWeb:"TeX\uFF08\u7F51\u9875\uFF09",TeXImage:"TeX\uFF08\u56FE\u7247\uFF09",STIXLocal:"STIX\uFF08\u672C\u5730\uFF09",STIXWeb:"STIX\uFF08web\uFF09",LatinModernWeb:"\u62C9\u4E01\u6469\u767B\uFF08web\uFF09",ContextMenu:"\u4E0A\u4E0B\u6587\u83DC\u5355",Browser:"\u6D4F\u89C8\u5668",Scale:"\u7F29\u653E\u6240\u6709\u6570\u5B66...",Discoverable:"\u60AC\u505C\u4EAE\u70B9",Locale:"\u8BED\u8A00",LoadLocale:"\u4ECEURL\u8F7D\u5165...",About:"\u5173\u4E8EMathJax",Help:"MathJax\u5E2E\u52A9",localTeXfonts:"\u4F7F\u7528\u672C\u5730TeX\u5B57\u4F53",webTeXfonts:"\u4F7F\u7528\u7F51\u9875TeX\u5B57\u4F53",imagefonts:"\u56FE\u50CF\u5B57\u4F53\u4F7F\u7528\u4E2D",localSTIXfonts:"\u4F7F\u7528\u672C\u5730STIX\u5B57\u4F53",webSVGfonts:"\u4F7F\u7528\u7F51\u9875SVG\u5B57\u4F53",genericfonts:"\u4F7F\u7528\u901A\u7528Unicode\u5B57\u4F53",wofforotffonts:"woff\u6216otf\u5B57\u4F53",eotffonts:"eot\u5B57\u4F53",svgfonts:"svg\u5B57\u4F53",WebkitNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u636E\u4FE1\u65E0\u6CD5\u652F\u6301MathML\u672C\u8EAB\uFF0C\u56E0\u6B64\u5207\u6362\u5230MathML\u8F93\u51FA\u5C06\u53EF\u80FD\u5BFC\u81F4\u9875\u9762\u4E0A\u7684\u6570\u5B66\u516C\u5F0F\u4E0D\u53EF\u8BFB\u3002",MSIENativeMMLWarning:"Internet Explorer\u9700\u8981MathPlayer\u63D2\u4EF6\u6765\u5904\u7406MathML\u8F93\u51FA\u3002",OperaNativeMMLWarning:"Opera\u5BF9MathML\u7684\u652F\u6301\u5341\u5206\u6709\u9650\uFF0C\u56E0\u6B64\u8F6C\u6362\u81F3MathML\u8F93\u51FA\u53EF\u80FD\u4F1A\u5BFC\u81F4\u4E00\u4E9B\u8868\u8FBE\u5F0F\u65E0\u6CD5\u6B63\u5E38\u6E32\u67D3\u3002",SafariNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u7684MathML\u4E0D\u652F\u6301\u6240\u6709MathJax\u7684\u529F\u80FD\uFF0C\u6709\u4E9B\u8868\u8FBE\u5F0F\u53EF\u80FD\u65E0\u6CD5\u6B63\u5E38\u5448\u73B0\u3002",FirefoxNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u7684MathML\u4E0D\u652F\u6301\u6240\u6709MathJax\u7684\u529F\u80FD\uFF0C\u6709\u4E9B\u8868\u8FBE\u5F0F\u53EF\u80FD\u65E0\u6CD5\u6B63\u5E38\u5448\u73B0\u3002",LoadURL:"\u4ECE\u6B64URL\u52A0\u8F7D\u7FFB\u8BD1\u6570\u636E\uFF1A",BadURL:"URL\u5FC5\u987B\u94FE\u81F3\u5B9A\u4E49MathJax\u7FFB\u8BD1\u6570\u636E\u7684JavaScript\u6587\u4EF6\u3002JavaScript\u7684\u6587\u4EF6\u540D\u5E94\u4EE5\u201C.js\u201D\u7ED3\u5C3E",BadData:"\u4ECE%1\u52A0\u8F7D\u7FFB\u8BD1\u6570\u636E\u5931\u8D25",SwitchAnyway:"\u4E00\u5B9A\u8981\u66F4\u6539\u6E32\u67D3\u5668\uFF1F\n\n\uFF08\u70B9OK\u66F4\u6539\uFF0C\u70B9\u53D6\u6D88\u5373\u4EE5\u5F53\u524D\u6E32\u67D3\u5668\u7EE7\u7EED\uFF09",ScaleMath:"\u6570\u5F0F\u7F29\u653E\u767E\u5206\u6BD4\uFF08\u5BF9\u6BD4\u4E8E\u65C1\u8FB9\u7684\u6587\u5B57\uFF09",NonZeroScale:"\u500D\u7387\u4E0D\u5E94\u4E3A\u96F6",PercentScale:"\u500D\u7387\u5E94\u8BE5\u662F\u4E00\u4E2A\u767E\u5206\u6BD4 \uFF08\u4F8B\u5982120%%\uFF09",IE8warning:"\u8FD9\u5C06\u5173\u95EDMathJax\u83DC\u5355\u4E0E\u7F29\u653E\u529F\u80FD\uFF0C\u4F46\u60A8\u53EF\u4EE5\u70B9\u51FBAlt-Click\u6216\u70B9\u51FB\u4E00\u4E2A\u8868\u8FBE\u5F0F\u6765\u8FDB\u5165MathJax\u83DC\u5355\u3002\n\n\u786E\u5B9E\u8981\u66F4\u6539MathPlayer\u8BBE\u7F6E\u5417\uFF1F",IE9warning:"MathJax\u5FEB\u6377\u83DC\u5355\u5C06\u5173\u95ED\uFF0C\u4F46\u60A8\u53EF\u4EE5\u6309Alt\u5E76\u70B9\u51FB\u8868\u8FBE\u5F0F\u6765\u547C\u51FA\u83DC\u5355\u3002",NoOriginalForm:"\u6CA1\u6709\u53EF\u7528\u7684\u539F\u59CB\u5F62\u5F0F",Close:"\u5173\u95ED",EqSource:"MathJax \u65B9\u7A0B\u6E90",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",NeoEulerWeb:"Neo Euler (web)",MSIESVGWarning:"SVG\u5728 IE9 \u4E4B\u524D\u7684 Internet Explorer \u6216\u4F7F\u7528 IE8 \u53CA\u4EE5\u4E0B\u67B6\u6784\u7684\u6D4F\u89C8\u5668\u4E2D\u4E0D\u6267\u884C\u3002\u8F6C\u6362SVG\u8F93\u51FA\u5C06\u5BFC\u81F4\u6570\u5B66\u516C\u5F0F\u4E0D\u80FD\u6B63\u5E38\u663E\u793A\u3002",CloseAboutDialog:"\u5173\u95ED\u6709\u5173MathJax\u5BF9\u8BDD",FastPreview:"\u5FEB\u901F\u9884\u89C8",AssistiveMML:"\u8F85\u52A9MathML",InTabOrder:"\u5305\u542B\u5728\u6807\u7B7E\u987A\u5E8F\u4E2D"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/MathMenu.js");
+MathJax.Localization.addTranslation("zh-hans","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u6570\u5F0F\u663E\u793A\u5F62\u5F0F",MathMLcode:"MathML\u4EE3\u7801",OriginalMathML:"\u539F\u59CB\u7684MathML",TeXCommands:"TeX\u547D\u4EE4",AsciiMathInput:"AsciiMathML\u8F93\u5165",Original:"\u539F\u59CB\u683C\u5F0F",ErrorMessage:"\u9519\u8BEF\u4FE1\u606F",Annotation:"\u6CE8\u91CA",TeX:"TeX",StarMath:"StarMath",Maple:"\u67AB\u53F6",ContentMathML:"MathML\u5185\u5BB9",OpenMath:"OpenMath",texHints:"\u5728MathML\u4E2D\u663E\u793ATeX\u63D0\u793A",Settings:"\u6570\u5B66\u8BBE\u7F6E",ZoomTrigger:"\u7F29\u653E\u89E6\u53D1",Hover:"\u6307\u9488\u60AC\u505C",Click:"\u70B9\u51FB",DoubleClick:"\u53CC\u51FB",NoZoom:"\u5E76\u65E0\u7F29\u653E",TriggerRequires:"\u89E6\u53D1\u9700\u8981\uFF1A",Option:"\u9009\u9879",Alt:"Alt\u952E",Command:"Command\u952E",Control:"Ctrl\u952E",Shift:"Shift\u952E",ZoomFactor:"\u53D8\u7126\u500D\u7387",Renderer:"\u6570\u5B66\u6E32\u67D3",MPHandles:"\u5141\u8BB8MathPlayer\u5904\u7406\uFF1A",MenuEvents:"\u83DC\u5355\u4E8B\u4EF6",MouseEvents:"\u9F20\u6807\u4E8B\u4EF6",MenuAndMouse:"\u9F20\u6807\u548C\u83DC\u5355\u4E8B\u4EF6",FontPrefs:"\u5B57\u4F53\u8BBE\u7F6E",ForHTMLCSS:"\u7528\u4E8EHTML-CSS\uFF1A",Auto:"\u81EA\u52A8",TeXLocal:"TeX\uFF08\u672C\u5730\uFF09",TeXWeb:"TeX\uFF08\u7F51\u9875\uFF09",TeXImage:"TeX\uFF08\u56FE\u7247\uFF09",STIXLocal:"STIX\uFF08\u672C\u5730\uFF09",STIXWeb:"STIX\uFF08web\uFF09",LatinModernWeb:"\u62C9\u4E01\u6469\u767B\uFF08web\uFF09",ContextMenu:"\u4E0A\u4E0B\u6587\u83DC\u5355",Browser:"\u6D4F\u89C8\u5668",Scale:"\u7F29\u653E\u6240\u6709\u6570\u5B66...",Discoverable:"\u60AC\u505C\u4EAE\u70B9",Locale:"\u8BED\u8A00",LoadLocale:"\u4ECEURL\u8F7D\u5165...",About:"\u5173\u4E8EMathJax",Help:"MathJax\u5E2E\u52A9",localTeXfonts:"\u4F7F\u7528\u672C\u5730TeX\u5B57\u4F53",webTeXfonts:"\u4F7F\u7528\u7F51\u9875TeX\u5B57\u4F53",imagefonts:"\u56FE\u50CF\u5B57\u4F53\u4F7F\u7528\u4E2D",localSTIXfonts:"\u4F7F\u7528\u672C\u5730STIX\u5B57\u4F53",webSVGfonts:"\u4F7F\u7528\u7F51\u9875SVG\u5B57\u4F53",genericfonts:"\u4F7F\u7528\u901A\u7528Unicode\u5B57\u4F53",wofforotffonts:"woff\u6216otf\u5B57\u4F53",eotffonts:"eot\u5B57\u4F53",svgfonts:"svg\u5B57\u4F53",WebkitNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u636E\u4FE1\u65E0\u6CD5\u652F\u6301MathML\u672C\u8EAB\uFF0C\u56E0\u6B64\u5207\u6362\u5230MathML\u8F93\u51FA\u5C06\u53EF\u80FD\u5BFC\u81F4\u9875\u9762\u4E0A\u7684\u6570\u5B66\u516C\u5F0F\u4E0D\u53EF\u8BFB\u3002",MSIENativeMMLWarning:"Internet Explorer\u9700\u8981MathPlayer\u63D2\u4EF6\u6765\u5904\u7406MathML\u8F93\u51FA\u3002",OperaNativeMMLWarning:"Opera\u5BF9MathML\u7684\u652F\u6301\u5341\u5206\u6709\u9650\uFF0C\u56E0\u6B64\u8F6C\u6362\u81F3MathML\u8F93\u51FA\u53EF\u80FD\u4F1A\u5BFC\u81F4\u4E00\u4E9B\u8868\u8FBE\u5F0F\u65E0\u6CD5\u6B63\u5E38\u6E32\u67D3\u3002",SafariNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u7684MathML\u4E0D\u652F\u6301\u6240\u6709MathJax\u7684\u529F\u80FD\uFF0C\u6709\u4E9B\u8868\u8FBE\u5F0F\u53EF\u80FD\u65E0\u6CD5\u6B63\u5E38\u5448\u73B0\u3002",FirefoxNativeMMLWarning:"\u60A8\u7684\u6D4F\u89C8\u5668\u7684MathML\u4E0D\u652F\u6301\u6240\u6709MathJax\u7684\u529F\u80FD\uFF0C\u6709\u4E9B\u8868\u8FBE\u5F0F\u53EF\u80FD\u65E0\u6CD5\u6B63\u5E38\u5448\u73B0\u3002",LoadURL:"\u4ECE\u6B64URL\u52A0\u8F7D\u7FFB\u8BD1\u6570\u636E\uFF1A",BadURL:"URL\u5FC5\u987B\u94FE\u81F3\u5B9A\u4E49MathJax\u7FFB\u8BD1\u6570\u636E\u7684JavaScript\u6587\u4EF6\u3002JavaScript\u7684\u6587\u4EF6\u540D\u5E94\u4EE5\u201C.js\u201D\u7ED3\u5C3E",BadData:"\u4ECE%1\u52A0\u8F7D\u7FFB\u8BD1\u6570\u636E\u5931\u8D25",SwitchAnyway:"\u4E00\u5B9A\u8981\u66F4\u6539\u6E32\u67D3\u5668\uFF1F\n\n\uFF08\u70B9OK\u66F4\u6539\uFF0C\u70B9\u53D6\u6D88\u5373\u4EE5\u5F53\u524D\u6E32\u67D3\u5668\u7EE7\u7EED\uFF09",ScaleMath:"\u6570\u5F0F\u7F29\u653E\u767E\u5206\u6BD4\uFF08\u5BF9\u6BD4\u4E8E\u65C1\u8FB9\u7684\u6587\u5B57\uFF09",NonZeroScale:"\u500D\u7387\u4E0D\u5E94\u4E3A\u96F6",PercentScale:"\u500D\u7387\u5E94\u8BE5\u662F\u4E00\u4E2A\u767E\u5206\u6BD4 \uFF08\u4F8B\u5982120%%\uFF09",IE8warning:"\u8FD9\u5C06\u5173\u95EDMathJax\u83DC\u5355\u4E0E\u7F29\u653E\u529F\u80FD\uFF0C\u4F46\u60A8\u53EF\u4EE5\u70B9\u51FBAlt-Click\u6216\u70B9\u51FB\u4E00\u4E2A\u8868\u8FBE\u5F0F\u6765\u8FDB\u5165MathJax\u83DC\u5355\u3002\n\n\u786E\u5B9E\u8981\u66F4\u6539MathPlayer\u8BBE\u7F6E\u5417\uFF1F",IE9warning:"MathJax\u5FEB\u6377\u83DC\u5355\u5C06\u5173\u95ED\uFF0C\u4F46\u60A8\u53EF\u4EE5\u6309Alt\u5E76\u70B9\u51FB\u8868\u8FBE\u5F0F\u6765\u547C\u51FA\u83DC\u5355\u3002",NoOriginalForm:"\u6CA1\u6709\u53EF\u7528\u7684\u539F\u59CB\u5F62\u5F0F",Close:"\u5173\u95ED",EqSource:"MathJax \u65B9\u7A0B\u6E90",AsanaMathWeb:"Asana Math (web)",GyrePagellaWeb:"Gyre Pagella (web)",GyreTermesWeb:"Gyre Termes (web)",NeoEulerWeb:"Neo Euler (web)",MSIESVGWarning:"SVG\u5728 IE9 \u4E4B\u524D\u7684 Internet Explorer \u6216\u4F7F\u7528 IE8 \u53CA\u4EE5\u4E0B\u67B6\u6784\u7684\u6D4F\u89C8\u5668\u4E2D\u4E0D\u6267\u884C\u3002\u8F6C\u6362SVG\u8F93\u51FA\u5C06\u5BFC\u81F4\u6570\u5B66\u516C\u5F0F\u4E0D\u80FD\u6B63\u5E38\u663E\u793A\u3002",CloseAboutDialog:"\u5173\u95ED\u6709\u5173MathJax\u5BF9\u8BDD",FastPreview:"\u5FEB\u901F\u9884\u89C8",AssistiveMML:"\u8F85\u52A9MathML",InTabOrder:"\u5305\u542B\u5728\u6807\u7B7E\u987A\u5E8F\u4E2D"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/MathMenu.js");
diff --git a/localization/zh-hans/TeX.js b/localization/zh-hans/TeX.js
index b8cdbb6f74..def77ccc5f 100644
--- a/localization/zh-hans/TeX.js
+++ b/localization/zh-hans/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hans/TeX.js
+ *  /MathJax-v2/localization/zh-hans/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u6709\u591A\u4F59\u7684\u5DE6\u62EC\u53F7\u6216\u7F3A\u5C11\u53F3\u62EC\u53F7",ExtraCloseMissingOpen:"\u6709\u591A\u4F59\u7684\u53F3\u62EC\u53F7\u6216\u7F3A\u5C11\u5DE6\u62EC\u53F7",MissingLeftExtraRight:"\u4E22\u5931\\left\u6216\u989D\u5916\u51FA\u73B0\\right",MissingScript:"\u6709\u4E0A\u6807\u6216\u4E0B\u6807\u7F3A\u5C11\u53C2\u6570",ExtraLeftMissingRight:"\u989D\u5916\u7684\\left\u6216\u8005\u4E22\u5931\\right",Misplaced:"%1\u88AB\u653E\u7F6E\u4E8E\u9519\u8BEF\u7684\u5730\u65B9",MissingOpenForSub:"\u7F3A\u5C11\u4E0B\u6807\u7684\u5DE6\u62EC\u53F7",MissingOpenForSup:"\u7F3A\u5C11\u4E0A\u6807\u7684\u5DE6\u62EC\u53F7",AmbiguousUseOf:"%1\u7684\u4F7F\u7528\u4E0D\u660E\u786E",EnvBadEnd:"\\begin{%1}\u7531\\end{%2}\u7ED3\u675F\u4E4B",EnvMissingEnd:"\\end{%1}\u4E22\u5931",MissingBoxFor:"\u7F3A\u5C11\u7528\u4E8E%1\u7684\u6846",MissingCloseBrace:"\u7F3A\u5C11\u53F3\u62EC\u53F7",UndefinedControlSequence:"\u672A\u5B9A\u4E49\u7684\u63A7\u5236\u6570\u5217%1",DoubleExponent:"\u4E24\u4E2A\u6307\u6570\uFF1A\u4F7F\u7528\u5927\u62EC\u53F7\u6765\u6F84\u6E05",DoubleSubscripts:"\u53CC\u4E0B\u6807\uFF1A\u4F7F\u7528\u62EC\u53F7\u6765\u660E\u786E",CantUseHash1:"\u60A8\u4E0D\u80FD\u5728\u6570\u5B66\u6A21\u5F0F\u4E2D\u4F7F\u7528\u201C\u5B8F\u53C2\u6570\u5B57\u7B26#\u201D",MisplacedMiddle:"%1\u5FC5\u987B\u5728\\left\u548C\\right\u4E4B\u5185",MisplacedLimits:"%1\u53EA\u5141\u8BB8\u5728\u8FD0\u7B97\u7B26\u4E0A",MisplacedMoveRoot:"%1\u53EA\u80FD\u5728\u6839\u4E2D\u51FA\u73B0",MultipleCommand:"\u591A\u79CD%1",IntegerArg:"\u53C2\u6570%1\u5FC5\u987B\u662F\u6574\u6570",NotMathMLToken:"%1\u4E0D\u662F\u6743\u6807\u5143\u7D20",InvalidMathMLAttr:"\u65E0\u6548MathML\u5C5E\u6027\uFF1A%1",UnknownAttrForElement:"%1\u4E0D\u662F%2\u7684\u5DF2\u8BC6\u522B\u5C5E\u6027",MaxMacroSub1:"\u8D85\u51FAMathJax\u6700\u5927\u5B8F\u66FF\u4EE3\u6B21\u6570\uFF1B\u5B58\u5728\u9012\u5F52\u7684\u5B8F\u8C03\u7528\uFF1F",MissingArgFor:"\u4E0E%1\u76F8\u5173\u7684\u53C2\u6570\u7F3A\u5931",InvalidEnv:"\u65E0\u6548\u7684\u73AF\u5883\u540D\u79F0\u201C%1\u201D",UnknownEnv:"\u672A\u77E5\u7684\u73AF\u5883\u53D8\u91CF'%1'",MissingCloseBracket:"\u65E0\u6CD5\u627E\u5230%1\u7684\u53C2\u6570\u7684\u53F3\u201C]\u201D",MissingOrUnrecognizedDelim:"\u627E\u4E0D\u5230\u6216\u65E0\u6CD5\u8BC6\u522B%1\u7684\u5206\u9694\u7B26",MissingDimOrUnits:"\u7F3A\u5C11%1\u7684\u7EF4\u5EA6\u6216\u5176\u5355\u4F4D",TokenNotFoundForCommand:"\u65E0\u6CD5\u627E\u5230\u7528\u4E8E%2\u7684%1",MathNotTerminated:"\u6570\u5B66\u5F0F\u5728\u6587\u672C\u6846\u4E2D\u672A\u7ED3\u675F",IllegalMacroParam:"\u975E\u6CD5\u5B8F\u53C2\u6570\u5F15\u7528",MaxBufferSize:"MathJax\u5185\u90E8\u7F13\u51B2\u533A\u5927\u5C0F\u8D85\u9650\uFF1B\u5B58\u5728\u9012\u5F52\u7684\u5B8F\u8C03\u7528\uFF1F",CommandNotAllowedInEnv:"%1\u5728%2\u73AF\u5883\u4E2D\u4E0D\u5141\u8BB8",IllegalAlign:"\u6307\u5B9A\u7684\u5BF9\u9F50\u65B9\u5F0F%1\u4E0D\u7B26\u7F16\u8F91\u624B\u518C",BadMathStyleFor:"%1\u7684\u6570\u5F0F\u6837\u5F0F\u65E0\u6548",PositiveIntegerArg:"\u53C2\u6570%1\u5FC5\u987B\u662F\u6B63\u6574\u6570",ErroneousNestingEq:"\u9519\u8BEF\u7684\u65B9\u7A0B\u5D4C\u5957\u7ED3\u6784",MultipleBBoxProperty:"%1\u5728%2\u4E2D\u6307\u5B9A\u4E86\u4E24\u6B21",ExtraEndMissingBegin:"\u6709\u591A\u4F59\u7684%1\u6216\u7F3A\u5C11\\begingroup",UndefinedColorModel:"\u8272\u5F69\u6A21\u5757\u201C%1\u201D\u672A\u5B9A\u4E49",ModelArg1:"%1\u6A21\u5757\u7684\u8272\u5F69\u503C\u9700\u8981\u4E09\u4E2A\u6570\u5B57",InvalidDecimalNumber:"\u65E0\u6548\u5341\u8FDB\u5236\u6570",ModelArg2:"%1\u6A21\u5757\u7684\u8272\u5F69\u503C\u5FC5\u987B\u5728%2\u548C%3\u4E4B\u95F4",InvalidNumber:"\u4E0D\u5141\u8BB8\u7684\u6570\u5B57",NewextarrowArg1:"%1\u7684\u7B2C\u4E00\u4E2A\u53C2\u6570\u5FC5\u987B\u662F\u4E00\u4E2A\u63A7\u5236\u6570\u5217\u540D\u79F0",NewextarrowArg2:"%1\u7684\u7B2C\u4E8C\u4E2A\u53C2\u6570\u5FC5\u987B\u662F\u7531\u9017\u53F7\u5206\u5F00\u7684\u4E24\u4E2A\u6574\u6570",NewextarrowArg3:"%1\u7684\u7B2C\u4E09\u4E2A\u53C2\u6570\u5FC5\u987B\u662FUnicode\u5B57\u7B26\u503C",NoClosingChar:"\u672A\u80FD\u627E\u5230\u5173\u95ED\u7684%1",IllegalControlSequenceName:"\u975E\u6CD5\u63A7\u5236\u5E8F\u5217\u540D\u79F0%1",IllegalParamNumber:"%1\u6307\u5B9A\u7684\u53C2\u6570\u6570\u91CF\u975E\u6CD5",MissingCS:"%1\u5FC5\u987B\u8DDF\u7740\u4E00\u4E2A\u63A7\u5236\u5E8F\u5217",CantUseHash2:"%1\u7684\u6A21\u677F\u4E2D\u975E\u6CD5\u4F7F\u7528#",SequentialParam:"%1\u7684\u53C2\u6570\u5FC5\u987B\u987A\u5E8F\u6807\u53F7",MissingReplacementString:"%1\u7684\u5B9A\u4E49\u7F3A\u5C11\u66FF\u6362\u5B57\u7B26\u4E32",MismatchUseDef:"%1\u7684\u4F7F\u7528\u4E0D\u7B26\u5408\u5176\u5B9A\u4E49",NoClosingDelim:"\u65E0\u6CD5\u627E\u5230\u7528\u4E8E\u7ED3\u675F\u7684\u5206\u9694\u7B26%1",MaxMacroSub2:"\u5DF2\u8D85\u51FAMathJax\u7684\u6700\u9AD8\u66FF\u4EE3\u6B21\u6570\uFF1B\u96BE\u9053\u5B58\u5728\u5FAA\u73AFLaTeX\u73AF\u5883\uFF1F",MultipleLabel:"\u5DF2\u5B9A\u4E49\u6807\u7B7E\u201C%1\u201D\u4E58",DoubleExponentPrime:"\u89D2\u5206\u7B26\u53F7\u5BFC\u81F4\u53CC\u91CD\u6307\u6570\uFF1A\u4F7F\u7528\u5927\u62EC\u53F7\u6F84\u6E05",ExtraAlignTab:"\\cases \u6587\u672C\u4E2D\u6709\u989D\u5916\u7684\u53C2\u6570\u5236\u8868\u7B26",BracketMustBeDimension:"%1\u7684\u62EC\u53F7\u53C2\u6570\u5FC5\u987B\u662F\u4E00\u4E2A\u5C3A\u5BF8",ExtraCloseLooking:"\u5BFB\u627E %1 \u65F6\u53D1\u73B0\u4E00\u4E2A\u989D\u5916\u7684\u53F3\u5927\u62EC\u53F7",CommandAtTheBeginingOfLine:"%1\u5FC5\u987B\u4F4D\u4E8E\u884C\u7684\u5F00\u5934",MultlineRowsOneCol:"%1 \u73AF\u5883\u5185\u7684\u884C\u5FC5\u987B\u53EA\u6709\u4E00\u4E2A\u5217",InvalidBBoxProperty:"\u201C%1\u201D\u597D\u50CF\u4E0D\u662F\u4E00\u4E2A\u989C\u8272\u3001\u586B\u5145\u5C3A\u5BF8\u6216\u6837\u5F0F",GlobalNotFollowedBy:"%1\u4E0D\u88AB\\let\u3001\\def\u6216\\newcommand\u5141\u8BB8",RunawayArgument:"%1\u7684\u53C2\u6570\u5931\u63A7\u4E86\u4E48\uFF1F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/TeX.js");
+MathJax.Localization.addTranslation("zh-hans","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u6709\u591A\u4F59\u7684\u5DE6\u62EC\u53F7\u6216\u7F3A\u5C11\u53F3\u62EC\u53F7",ExtraCloseMissingOpen:"\u6709\u591A\u4F59\u7684\u53F3\u62EC\u53F7\u6216\u7F3A\u5C11\u5DE6\u62EC\u53F7",MissingLeftExtraRight:"\u4E22\u5931\\left\u6216\u989D\u5916\u51FA\u73B0\\right",MissingScript:"\u6709\u4E0A\u6807\u6216\u4E0B\u6807\u7F3A\u5C11\u53C2\u6570",ExtraLeftMissingRight:"\u989D\u5916\u7684\\left\u6216\u8005\u4E22\u5931\\right",Misplaced:"%1\u88AB\u653E\u7F6E\u4E8E\u9519\u8BEF\u7684\u5730\u65B9",MissingOpenForSub:"\u7F3A\u5C11\u4E0B\u6807\u7684\u5DE6\u62EC\u53F7",MissingOpenForSup:"\u7F3A\u5C11\u4E0A\u6807\u7684\u5DE6\u62EC\u53F7",AmbiguousUseOf:"%1\u7684\u4F7F\u7528\u4E0D\u660E\u786E",EnvBadEnd:"\\begin{%1}\u7531\\end{%2}\u7ED3\u675F\u4E4B",EnvMissingEnd:"\\end{%1}\u4E22\u5931",MissingBoxFor:"\u7F3A\u5C11\u7528\u4E8E%1\u7684\u6846",MissingCloseBrace:"\u7F3A\u5C11\u53F3\u62EC\u53F7",UndefinedControlSequence:"\u672A\u5B9A\u4E49\u7684\u63A7\u5236\u6570\u5217%1",DoubleExponent:"\u4E24\u4E2A\u6307\u6570\uFF1A\u4F7F\u7528\u5927\u62EC\u53F7\u6765\u6F84\u6E05",DoubleSubscripts:"\u53CC\u4E0B\u6807\uFF1A\u4F7F\u7528\u62EC\u53F7\u6765\u660E\u786E",CantUseHash1:"\u60A8\u4E0D\u80FD\u5728\u6570\u5B66\u6A21\u5F0F\u4E2D\u4F7F\u7528\u201C\u5B8F\u53C2\u6570\u5B57\u7B26#\u201D",MisplacedMiddle:"%1\u5FC5\u987B\u5728\\left\u548C\\right\u4E4B\u5185",MisplacedLimits:"%1\u53EA\u5141\u8BB8\u5728\u8FD0\u7B97\u7B26\u4E0A",MisplacedMoveRoot:"%1\u53EA\u80FD\u5728\u6839\u4E2D\u51FA\u73B0",MultipleCommand:"\u591A\u79CD%1",IntegerArg:"\u53C2\u6570%1\u5FC5\u987B\u662F\u6574\u6570",NotMathMLToken:"%1\u4E0D\u662F\u6743\u6807\u5143\u7D20",InvalidMathMLAttr:"\u65E0\u6548MathML\u5C5E\u6027\uFF1A%1",UnknownAttrForElement:"%1\u4E0D\u662F%2\u7684\u5DF2\u8BC6\u522B\u5C5E\u6027",MaxMacroSub1:"\u8D85\u51FAMathJax\u6700\u5927\u5B8F\u66FF\u4EE3\u6B21\u6570\uFF1B\u5B58\u5728\u9012\u5F52\u7684\u5B8F\u8C03\u7528\uFF1F",MissingArgFor:"\u4E0E%1\u76F8\u5173\u7684\u53C2\u6570\u7F3A\u5931",InvalidEnv:"\u65E0\u6548\u7684\u73AF\u5883\u540D\u79F0\u201C%1\u201D",UnknownEnv:"\u672A\u77E5\u7684\u73AF\u5883\u53D8\u91CF'%1'",MissingCloseBracket:"\u65E0\u6CD5\u627E\u5230%1\u7684\u53C2\u6570\u7684\u53F3\u201C]\u201D",MissingOrUnrecognizedDelim:"\u627E\u4E0D\u5230\u6216\u65E0\u6CD5\u8BC6\u522B%1\u7684\u5206\u9694\u7B26",MissingDimOrUnits:"\u7F3A\u5C11%1\u7684\u7EF4\u5EA6\u6216\u5176\u5355\u4F4D",TokenNotFoundForCommand:"\u65E0\u6CD5\u627E\u5230\u7528\u4E8E%2\u7684%1",MathNotTerminated:"\u6570\u5B66\u5F0F\u5728\u6587\u672C\u6846\u4E2D\u672A\u7ED3\u675F",IllegalMacroParam:"\u975E\u6CD5\u5B8F\u53C2\u6570\u5F15\u7528",MaxBufferSize:"MathJax\u5185\u90E8\u7F13\u51B2\u533A\u5927\u5C0F\u8D85\u9650\uFF1B\u5B58\u5728\u9012\u5F52\u7684\u5B8F\u8C03\u7528\uFF1F",CommandNotAllowedInEnv:"%1\u5728%2\u73AF\u5883\u4E2D\u4E0D\u5141\u8BB8",IllegalAlign:"\u6307\u5B9A\u7684\u5BF9\u9F50\u65B9\u5F0F%1\u4E0D\u7B26\u7F16\u8F91\u624B\u518C",BadMathStyleFor:"%1\u7684\u6570\u5F0F\u6837\u5F0F\u65E0\u6548",PositiveIntegerArg:"\u53C2\u6570%1\u5FC5\u987B\u662F\u6B63\u6574\u6570",ErroneousNestingEq:"\u9519\u8BEF\u7684\u65B9\u7A0B\u5D4C\u5957\u7ED3\u6784",MultipleBBoxProperty:"%1\u5728%2\u4E2D\u6307\u5B9A\u4E86\u4E24\u6B21",ExtraEndMissingBegin:"\u6709\u591A\u4F59\u7684%1\u6216\u7F3A\u5C11\\begingroup",UndefinedColorModel:"\u8272\u5F69\u6A21\u5757\u201C%1\u201D\u672A\u5B9A\u4E49",ModelArg1:"%1\u6A21\u5757\u7684\u8272\u5F69\u503C\u9700\u8981\u4E09\u4E2A\u6570\u5B57",InvalidDecimalNumber:"\u65E0\u6548\u5341\u8FDB\u5236\u6570",ModelArg2:"%1\u6A21\u5757\u7684\u8272\u5F69\u503C\u5FC5\u987B\u5728%2\u548C%3\u4E4B\u95F4",InvalidNumber:"\u4E0D\u5141\u8BB8\u7684\u6570\u5B57",NewextarrowArg1:"%1\u7684\u7B2C\u4E00\u4E2A\u53C2\u6570\u5FC5\u987B\u662F\u4E00\u4E2A\u63A7\u5236\u6570\u5217\u540D\u79F0",NewextarrowArg2:"%1\u7684\u7B2C\u4E8C\u4E2A\u53C2\u6570\u5FC5\u987B\u662F\u7531\u9017\u53F7\u5206\u5F00\u7684\u4E24\u4E2A\u6574\u6570",NewextarrowArg3:"%1\u7684\u7B2C\u4E09\u4E2A\u53C2\u6570\u5FC5\u987B\u662FUnicode\u5B57\u7B26\u503C",NoClosingChar:"\u672A\u80FD\u627E\u5230\u5173\u95ED\u7684%1",IllegalControlSequenceName:"\u975E\u6CD5\u63A7\u5236\u5E8F\u5217\u540D\u79F0%1",IllegalParamNumber:"%1\u6307\u5B9A\u7684\u53C2\u6570\u6570\u91CF\u975E\u6CD5",MissingCS:"%1\u5FC5\u987B\u8DDF\u7740\u4E00\u4E2A\u63A7\u5236\u5E8F\u5217",CantUseHash2:"%1\u7684\u6A21\u677F\u4E2D\u975E\u6CD5\u4F7F\u7528#",SequentialParam:"%1\u7684\u53C2\u6570\u5FC5\u987B\u987A\u5E8F\u6807\u53F7",MissingReplacementString:"%1\u7684\u5B9A\u4E49\u7F3A\u5C11\u66FF\u6362\u5B57\u7B26\u4E32",MismatchUseDef:"%1\u7684\u4F7F\u7528\u4E0D\u7B26\u5408\u5176\u5B9A\u4E49",NoClosingDelim:"\u65E0\u6CD5\u627E\u5230\u7528\u4E8E\u7ED3\u675F\u7684\u5206\u9694\u7B26%1",MaxMacroSub2:"\u5DF2\u8D85\u51FAMathJax\u7684\u6700\u9AD8\u66FF\u4EE3\u6B21\u6570\uFF1B\u96BE\u9053\u5B58\u5728\u5FAA\u73AFLaTeX\u73AF\u5883\uFF1F",MultipleLabel:"\u5DF2\u5B9A\u4E49\u6807\u7B7E\u201C%1\u201D\u4E58",DoubleExponentPrime:"\u89D2\u5206\u7B26\u53F7\u5BFC\u81F4\u53CC\u91CD\u6307\u6570\uFF1A\u4F7F\u7528\u5927\u62EC\u53F7\u6F84\u6E05",ExtraAlignTab:"\\cases \u6587\u672C\u4E2D\u6709\u989D\u5916\u7684\u53C2\u6570\u5236\u8868\u7B26",BracketMustBeDimension:"%1\u7684\u62EC\u53F7\u53C2\u6570\u5FC5\u987B\u662F\u4E00\u4E2A\u5C3A\u5BF8",ExtraCloseLooking:"\u5BFB\u627E %1 \u65F6\u53D1\u73B0\u4E00\u4E2A\u989D\u5916\u7684\u53F3\u5927\u62EC\u53F7",CommandAtTheBeginingOfLine:"%1\u5FC5\u987B\u4F4D\u4E8E\u884C\u7684\u5F00\u5934",MultlineRowsOneCol:"%1 \u73AF\u5883\u5185\u7684\u884C\u5FC5\u987B\u53EA\u6709\u4E00\u4E2A\u5217",InvalidBBoxProperty:"\u201C%1\u201D\u597D\u50CF\u4E0D\u662F\u4E00\u4E2A\u989C\u8272\u3001\u586B\u5145\u5C3A\u5BF8\u6216\u6837\u5F0F",GlobalNotFollowedBy:"%1\u4E0D\u88AB\\let\u3001\\def\u6216\\newcommand\u5141\u8BB8",RunawayArgument:"%1\u7684\u53C2\u6570\u5931\u63A7\u4E86\u4E48\uFF1F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/TeX.js");
diff --git a/localization/zh-hans/zh-hans.js b/localization/zh-hans/zh-hans.js
index 08617433d5..b0cd101bd2 100644
--- a/localization/zh-hans/zh-hans.js
+++ b/localization/zh-hans/zh-hans.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hans/zh-hans.js
+ *  /MathJax-v2/localization/zh-hans/zh-hans.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hans",null,{menuTitle:"\u4E2D\u6587\uFF08\u7B80\u4F53\uFF09",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{CookieConfig:"MathJax\u5DF2\u627E\u5230\u7528\u6237\u914D\u7F6E\uFF0C\u5176\u4E2D\u5305\u542B\u8981\u8FD0\u884C\u4EE3\u7801\u6240\u4F9D\u8D56\u7684cookie\u3002\u60A8\u60F3\u8FD0\u884C\u5B83\u4E48\uFF1F\n\n\uFF08\u60A8\u5E94\u8BE5\u81EA\u884C\u6309\u53D6\u6D88\u9664\u975E\u60A8\u8BBE\u7F6E\u4E86\u81EA\u5DF1\u7684cookie\u3002\uFF09",MathProcessingError:"\u6570\u5B66\u5904\u7406\u9519\u8BEF",MathError:"\u6570\u5B66\u9519\u8BEF",LoadFile:"%1\u52A0\u8F7D\u4E2D",Loading:"\u52A0\u8F7D\u4E2D",LoadFailed:"\u65E0\u6CD5\u52A0\u8F7D\u6587\u4EF6\uFF1A%1",ProcessMath:"\u6570\u5B66\u5904\u7406\uFF1A%1%%",Processing:"\u5904\u7406\u4E2D",TypesetMath:"\u6392\u7248\u6570\u5B66\uFF1A%1%%",Typesetting:"\u6392\u7248",MathJaxNotSupported:"\u60A8\u7684\u6D4F\u89C8\u5668\u6682\u4E0D\u652F\u6301MathJax",ErrorTips:"\u8C03\u8BD5\u63D0\u793A\uFF1A\u4F7F\u7528%%1\uFF0C\u5728\u6D4F\u89C8\u5668\u63A7\u5236\u53F0\u4E2D\u68C0\u67E5%%2"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/zh-hans.js");
+MathJax.Localization.addTranslation("zh-hans",null,{menuTitle:"\u4E2D\u6587\uFF08\u7B80\u4F53\uFF09",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{CookieConfig:"MathJax\u5DF2\u627E\u5230\u7528\u6237\u914D\u7F6E\uFF0C\u5176\u4E2D\u5305\u542B\u8981\u8FD0\u884C\u4EE3\u7801\u6240\u4F9D\u8D56\u7684cookie\u3002\u60A8\u60F3\u8FD0\u884C\u5B83\u4E48\uFF1F\n\n\uFF08\u60A8\u5E94\u8BE5\u81EA\u884C\u6309\u53D6\u6D88\u9664\u975E\u60A8\u8BBE\u7F6E\u4E86\u81EA\u5DF1\u7684cookie\u3002\uFF09",MathProcessingError:"\u6570\u5B66\u5904\u7406\u9519\u8BEF",MathError:"\u6570\u5B66\u9519\u8BEF",LoadFile:"%1\u52A0\u8F7D\u4E2D",Loading:"\u52A0\u8F7D\u4E2D",LoadFailed:"\u65E0\u6CD5\u52A0\u8F7D\u6587\u4EF6\uFF1A%1",ProcessMath:"\u6570\u5B66\u5904\u7406\uFF1A%1%%",Processing:"\u5904\u7406\u4E2D",TypesetMath:"\u6392\u7248\u6570\u5B66\uFF1A%1%%",Typesetting:"\u6392\u7248",MathJaxNotSupported:"\u60A8\u7684\u6D4F\u89C8\u5668\u6682\u4E0D\u652F\u6301MathJax",ErrorTips:"\u8C03\u8BD5\u63D0\u793A\uFF1A\u4F7F\u7528%%1\uFF0C\u5728\u6D4F\u89C8\u5668\u63A7\u5236\u53F0\u4E2D\u68C0\u67E5%%2"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hans/zh-hans.js");
diff --git a/localization/zh-hant/FontWarnings.js b/localization/zh-hant/FontWarnings.js
index d007b299a6..df21828877 100644
--- a/localization/zh-hant/FontWarnings.js
+++ b/localization/zh-hant/FontWarnings.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hant/FontWarnings.js
+ *  /MathJax-v2/localization/zh-hant/FontWarnings.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hant","FontWarnings",{version:"2.7.6",isLoaded:true,strings:{webFont:"MathJax\u662F\u4F7F\u7528\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u4F86\u986F\u793A\u9801\u9762\u4E0A\u7684\u6578\u5B78\u76F8\u95DC\u5167\u5BB9\u3002\u56E0\u6B64\u6703\u82B1\u8CBB\u4E00\u4E9B\u6642\u9593\u4E0B\u8F09\u5B57\u578B\uFF0C\u82E5\u60F3\u8B93\u9801\u9762\u80FD\u8F03\u5FEB\u5448\u73FE\u51FA\u5167\u5BB9\uFF0C\u60A8\u53EF\u4EE5\u5C07\u6240\u4F7F\u7528\u5230\u7684\u6578\u5B78\u5B57\u578B\u4E0B\u8F09\u5B89\u88DD\u5230\u60A8\u96FB\u8166\u672C\u6A5F\u88E1\u7684\u7CFB\u7D71\u5B57\u578B\u8CC7\u6599\u593E\u3002",imageFonts:"MathJax\u4F7F\u7528\u5716\u50CF\u5B57\u578B\u800C\u975E\u672C\u5730\u7AEF\u6216\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u3002\u8207\u4E00\u822C\u60C5\u6CC1\u76F8\u6BD4\u6703\u8F03\u6162\u5448\u73FE\u51FA\u5167\u5BB9\uFF0C\u800C\u6240\u5448\u73FE\u6578\u5B78\u516C\u5F0F\u5728\u60A8\u7684\u5370\u8868\u6A5F\u4E0A\u53EF\u80FD\u6C92\u8FA6\u6CD5\u5B8C\u6574\u8FA8\u8B58\u5730\u5370\u51FA\u3002",noFonts:"\u56E0MathJax\u7121\u6CD5\u8A2D\u7F6E\u8981\u7528\u65BC\u986F\u793A\u6578\u5B78\u516C\u5F0F\u7684\u5B57\u578B\uFF0C\u800C\u4E14\u5716\u50CF\u5B57\u578B\u7121\u6CD5\u4F7F\u7528\uFF0C\u6240\u4EE5\u6539\u63A1\u901A\u7528\u842C\u570B\u78BC\u5B57\u5143\u4EE5\u5118\u91CF\u80FD\u8B93\u60A8\u7684\u700F\u89BD\u5668\u6B63\u78BA\u986F\u793A\u5167\u5BB9\u3002\u67D0\u4E9B\u3001\u6216\u751A\u81F3\u5168\u90E8\u5B57\u5143\u6709\u53EF\u80FD\u6703\u7121\u6CD5\u6B63\u78BA\u5730\u986F\u793A\u51FA\u3002",webFonts:"\u73FE\u4ECA\u591A\u6578\u7684\u700F\u89BD\u5668\u5141\u8A31\u7D93\u7531\u7DB2\u969B\u7DB2\u8DEF\u4E0B\u8F09\u5B57\u578B\u3002\u5C07\u60A8\u7684\u700F\u89BD\u5668\u66F4\u65B0\u81F3\u6700\u65B0\u7248\u672C\uFF08\u6216\u662F\u66F4\u63DB\u700F\u89BD\u5668\uFF09\u4F86\u52A0\u5F37\u9801\u9762\u4E0A\u6578\u5B78\u516C\u5F0F\u7684\u986F\u793A\u8CEA\u611F\u3002",fonts:"MathJax\u53EF\u4F7F\u7528[STIX fonts](%1)\u6216[MathJax TeX fonts](%2)\u3002\u4E0B\u8F09\u4F86\u5B89\u88DD\u9019\u4E9B\u5B57\u578B\u80FD\u6539\u5584\u60A8\u5728MathJax\u7684\u4F7F\u7528\u9AD4\u9A57\u3002",STIXPage:"\u6B64\u9801\u9762\u662F\u8A2D\u8A08\u4F86\u4F7F\u7528[STIX fonts](%1)\u3002\u4E0B\u8F09\u5B89\u88DD\u6B64\u5B57\u578B\u4EE5\u6539\u5584\u60A8\u5728MathJax\u7684\u4F7F\u7528\u9AD4\u9A57\u3002",TeXPage:"\u6B64\u9801\u9762\u662F\u8A2D\u8A08\u4F86\u4F7F\u7528[MathJax TeX fonts](%1)\u3002\u4E0B\u8F09\u5B89\u88DD\u6B64\u5B57\u578B\u4EE5\u6539\u5584\u60A8\u5728MathJax\u7684\u4F7F\u7528\u9AD4\u9A57\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/FontWarnings.js");
+MathJax.Localization.addTranslation("zh-hant","FontWarnings",{version:"2.7.9",isLoaded:true,strings:{webFont:"MathJax\u662F\u4F7F\u7528\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u4F86\u986F\u793A\u9801\u9762\u4E0A\u7684\u6578\u5B78\u76F8\u95DC\u5167\u5BB9\u3002\u56E0\u6B64\u6703\u82B1\u8CBB\u4E00\u4E9B\u6642\u9593\u4E0B\u8F09\u5B57\u578B\uFF0C\u82E5\u60F3\u8B93\u9801\u9762\u80FD\u8F03\u5FEB\u5448\u73FE\u51FA\u5167\u5BB9\uFF0C\u60A8\u53EF\u4EE5\u5C07\u6240\u4F7F\u7528\u5230\u7684\u6578\u5B78\u5B57\u578B\u4E0B\u8F09\u5B89\u88DD\u5230\u60A8\u96FB\u8166\u672C\u6A5F\u88E1\u7684\u7CFB\u7D71\u5B57\u578B\u8CC7\u6599\u593E\u3002",imageFonts:"MathJax\u4F7F\u7528\u5716\u50CF\u5B57\u578B\u800C\u975E\u672C\u5730\u7AEF\u6216\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u3002\u8207\u4E00\u822C\u60C5\u6CC1\u76F8\u6BD4\u6703\u8F03\u6162\u5448\u73FE\u51FA\u5167\u5BB9\uFF0C\u800C\u6240\u5448\u73FE\u6578\u5B78\u516C\u5F0F\u5728\u60A8\u7684\u5370\u8868\u6A5F\u4E0A\u53EF\u80FD\u6C92\u8FA6\u6CD5\u5B8C\u6574\u8FA8\u8B58\u5730\u5370\u51FA\u3002",noFonts:"\u56E0MathJax\u7121\u6CD5\u8A2D\u7F6E\u8981\u7528\u65BC\u986F\u793A\u6578\u5B78\u516C\u5F0F\u7684\u5B57\u578B\uFF0C\u800C\u4E14\u5716\u50CF\u5B57\u578B\u7121\u6CD5\u4F7F\u7528\uFF0C\u6240\u4EE5\u6539\u63A1\u901A\u7528\u842C\u570B\u78BC\u5B57\u5143\u4EE5\u5118\u91CF\u80FD\u8B93\u60A8\u7684\u700F\u89BD\u5668\u6B63\u78BA\u986F\u793A\u5167\u5BB9\u3002\u67D0\u4E9B\u3001\u6216\u751A\u81F3\u5168\u90E8\u5B57\u5143\u6709\u53EF\u80FD\u6703\u7121\u6CD5\u6B63\u78BA\u5730\u986F\u793A\u51FA\u3002",webFonts:"\u73FE\u4ECA\u591A\u6578\u7684\u700F\u89BD\u5668\u5141\u8A31\u7D93\u7531\u7DB2\u969B\u7DB2\u8DEF\u4E0B\u8F09\u5B57\u578B\u3002\u5C07\u60A8\u7684\u700F\u89BD\u5668\u66F4\u65B0\u81F3\u6700\u65B0\u7248\u672C\uFF08\u6216\u662F\u66F4\u63DB\u700F\u89BD\u5668\uFF09\u4F86\u52A0\u5F37\u9801\u9762\u4E0A\u6578\u5B78\u516C\u5F0F\u7684\u986F\u793A\u8CEA\u611F\u3002",fonts:"MathJax\u53EF\u4F7F\u7528[STIX fonts](%1)\u6216[MathJax TeX fonts](%2)\u3002\u4E0B\u8F09\u4F86\u5B89\u88DD\u9019\u4E9B\u5B57\u578B\u80FD\u6539\u5584\u60A8\u5728MathJax\u7684\u4F7F\u7528\u9AD4\u9A57\u3002",STIXPage:"\u6B64\u9801\u9762\u662F\u8A2D\u8A08\u4F86\u4F7F\u7528[STIX fonts](%1)\u3002\u4E0B\u8F09\u5B89\u88DD\u6B64\u5B57\u578B\u4EE5\u6539\u5584\u60A8\u5728MathJax\u7684\u4F7F\u7528\u9AD4\u9A57\u3002",TeXPage:"\u6B64\u9801\u9762\u662F\u8A2D\u8A08\u4F86\u4F7F\u7528[MathJax TeX fonts](%1)\u3002\u4E0B\u8F09\u5B89\u88DD\u6B64\u5B57\u578B\u4EE5\u6539\u5584\u60A8\u5728MathJax\u7684\u4F7F\u7528\u9AD4\u9A57\u3002"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/FontWarnings.js");
diff --git a/localization/zh-hant/HTML-CSS.js b/localization/zh-hant/HTML-CSS.js
index 7bf6846677..2353dc9d66 100644
--- a/localization/zh-hant/HTML-CSS.js
+++ b/localization/zh-hant/HTML-CSS.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hant/HTML-CSS.js
+ *  /MathJax-v2/localization/zh-hant/HTML-CSS.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hant","HTML-CSS",{version:"2.7.6",isLoaded:true,strings:{LoadWebFont:"\u7DB2\u9801\u5B57\u578B%1\u8F09\u5165\u4E2D",CantLoadWebFont:"\u7121\u6CD5\u8F09\u5165\u7DB2\u9801\u5B57\u578B%1",FirefoxCantLoadWebFont:"Firefox\u700F\u89BD\u5668\u7121\u6CD5\u5F9E\u9060\u7AEF\u4E3B\u6A5F\u8F09\u5165\u7DB2\u9801\u5B57\u578B",CantFindFontUsing:"\u7121\u6CD5\u627E\u5230\u4F7F\u7528%1\u7684\u6709\u6548\u5B57\u578B",WebFontsNotAvailable:"\u7DB2\u9801\u5B57\u578B\u7121\u6CD5\u4F7F\u7528\u3002\u6539\u7528\u5716\u50CF\u5B57\u578B\u53D6\u4EE3"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/HTML-CSS.js");
+MathJax.Localization.addTranslation("zh-hant","HTML-CSS",{version:"2.7.9",isLoaded:true,strings:{LoadWebFont:"\u7DB2\u9801\u5B57\u578B%1\u8F09\u5165\u4E2D",CantLoadWebFont:"\u7121\u6CD5\u8F09\u5165\u7DB2\u9801\u5B57\u578B%1",FirefoxCantLoadWebFont:"Firefox\u700F\u89BD\u5668\u7121\u6CD5\u5F9E\u9060\u7AEF\u4E3B\u6A5F\u8F09\u5165\u7DB2\u9801\u5B57\u578B",CantFindFontUsing:"\u7121\u6CD5\u627E\u5230\u4F7F\u7528%1\u7684\u6709\u6548\u5B57\u578B",WebFontsNotAvailable:"\u7DB2\u9801\u5B57\u578B\u7121\u6CD5\u4F7F\u7528\u3002\u6539\u7528\u5716\u50CF\u5B57\u578B\u53D6\u4EE3"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/HTML-CSS.js");
diff --git a/localization/zh-hant/HelpDialog.js b/localization/zh-hant/HelpDialog.js
index a40708e105..7f06df5085 100644
--- a/localization/zh-hant/HelpDialog.js
+++ b/localization/zh-hant/HelpDialog.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hant/HelpDialog.js
+ *  /MathJax-v2/localization/zh-hant/HelpDialog.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hant","HelpDialog",{version:"2.7.6",isLoaded:true,strings:{Help:"MathJax \u8AAA\u660E",MathJax:"*MathJax*\u662F\u4E00\u500B\u80FD\u8B93\u7DB2\u9801\u958B\u767C\u8005\u5728\u4ED6\u5011\u7DB2\u9801\u88E1\u986F\u793A\u51FA\u6578\u5B78\u516C\u5F0F\u7684JavaScript\u51FD\u5F0F\u5EAB\u3002\n\u4F5C\u70BA\u7DB2\u9801\u7684\u700F\u89BD\u8005\uFF0C\u60A8\u4E0D\u9700\u8981\u57F7\u884C\u4EFB\u4F55\u52D5\u4F5C\u4FBF\u53EF\u89C0\u770B\u8A72\u6548\u679C\u3002",Browsers:"*\u700F\u89BD\u5668*\uFF1A MathJax \u5728\u6240\u6709\u8F03\u65B0\u578B\u7684\u700F\u89BD\u5668\u4E0A\u7686\u53EF\u6B63\u5E38\u904B\u4F5C\uFF0C\u5305\u62ECIE6\u4EE5\u4E0A\u3001Firefox 3\u4EE5\u4E0A\u3001Chrome 0.2\u4EE5\u4E0A\u3001Safari 2\u4EE5\u4E0A\u3001\u548COpera 9.6\u4EE5\u4E0A\u7248\u672C\u4EE5\u53CA\u591A\u6578\u884C\u52D5\u88DD\u7F6E\u700F\u89BD\u5668\u3002",Menu:"*\u6578\u5B78\u9078\u55AE*: MathJax\u5728\u65B9\u7A0B\u5F0F\u88E1\u6DFB\u52A0\u5FEB\u6377\u9078\u55AE\u3002\u5728\u4EFB\u4F55\u6578\u5B78\u516C\u5F0F\u88E1\u6309\u4E0B\u6ED1\u9F20\u53F3\u9375\u6216\u540C\u6642\u6309\u4E0BCtrl\u9375\u8207\u6ED1\u9F20\u5DE6\u9375\u5373\u53EF\u9032\u5165\u9078\u55AE\u3002",ShowMath:"*\u986F\u793A\u6578\u5B78\u5F62\u5F0F* \u5141\u8A31\u60A8\u67E5\u770B\u516C\u5F0F\u7684\u539F\u59CB\u78BC\u67B6\u69CB\u4EE5\u4FBF\u65BC\u57F7\u884C\u8907\u88FD\u8CBC\u4E0A\u52D5\u4F5C\uFF08\u4EE5MathML\u6216\u539F\u59CB\u683C\u5F0F\uFF09\u3002",Settings:"*\u6578\u5B78\u8A2D\u5B9A* \u80FD\u8B93\u60A8\u8ABF\u6574MathJax\u88E1\u7684\u529F\u80FD\uFF0C\u50CF\u662F\u6578\u5B78\u7B97\u5F0F\u7684\u5927\u5C0F\uFF0C\u548C\u986F\u793A\u516C\u5F0F\u65B9\u9762\u7684\u6A5F\u5236\u3002",Language:"*\u8A9E\u8A00* \u8B93\u60A8\u9078\u64C7\u7D66MathJax\u5728\u9078\u55AE\u548C\u8B66\u544A\u8A0A\u606F\u4E0A\u4F7F\u7528\u7684\u8A9E\u8A00\u3002",Zoom:"*\u6578\u5B78\u516C\u5F0F\u7E2E\u653E*\uFF1A \u5982\u679C\u60A8\u95B1\u8B80\u65B9\u7A0B\u5F0F\u6642\u89BA\u5F97\u770B\u4E0D\u6E05\u695A\uFF0CMathJax\u53EF\u4EE5\u5C07\u6B64\u653E\u5927\u8B93\u60A8\u80FD\u66F4\u65B9\u4FBF\u700F\u89BD\u3002",Accessibilty:"*\u8F14\u52A9\u529F\u80FD*\uFF1A MathJax\u6703\u81EA\u884C\u8207\u87A2\u5E55\u95B1\u8B80\u5668\u904B\u4F5C\u8B93\u8996\u89BA\u969C\u7919\u8005\u89C0\u770B\u6578\u5B78\u516C\u5F0F\u6642\u80FD\u66F4\u52A0\u5BB9\u6613\u3002",Fonts:"*\u5B57\u578B*\uFF1A\u82E5\u60A8\u96FB\u8166\u4E0A\u6709\u5B89\u88DD\u67D0\u4E9B\u7528\u65BC\u6578\u5B78\u516C\u5F0F\u7684\u5B57\u578BMathJax\u5C07\u6703\u4F7F\u7528\u6B64\uFF0C\u5426\u5247\u5C07\u6703\u4F7F\u7528\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u3002\u96D6\u7136\u4E26\u4E0D\u5F37\u5236\u8981\u6C42\uFF0C\u4F46\u672C\u5730\u7AEF\u4E0A\u82E5\u6709\u5B89\u88DD\u76F8\u95DC\u5B57\u578B\u53EF\u52A0\u5FEB\u9801\u9762\u7684\u6392\u7248\u901F\u5EA6\uFF0C\u800C\u6211\u5011\u5EFA\u8B70\u5B89\u88DD[STIX fonts](%1)\u3002",CloseDialog:"\u95DC\u9589\u8AAA\u660E\u5C0D\u8A71\u6846"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/HelpDialog.js");
+MathJax.Localization.addTranslation("zh-hant","HelpDialog",{version:"2.7.9",isLoaded:true,strings:{Help:"MathJax \u8AAA\u660E",MathJax:"*MathJax*\u662F\u4E00\u500B\u80FD\u8B93\u7DB2\u9801\u958B\u767C\u8005\u5728\u4ED6\u5011\u7DB2\u9801\u88E1\u986F\u793A\u51FA\u6578\u5B78\u516C\u5F0F\u7684JavaScript\u51FD\u5F0F\u5EAB\u3002\n\u4F5C\u70BA\u7DB2\u9801\u7684\u700F\u89BD\u8005\uFF0C\u60A8\u4E0D\u9700\u8981\u57F7\u884C\u4EFB\u4F55\u52D5\u4F5C\u4FBF\u53EF\u89C0\u770B\u8A72\u6548\u679C\u3002",Browsers:"*\u700F\u89BD\u5668*\uFF1A MathJax \u5728\u6240\u6709\u8F03\u65B0\u578B\u7684\u700F\u89BD\u5668\u4E0A\u7686\u53EF\u6B63\u5E38\u904B\u4F5C\uFF0C\u5305\u62ECIE6\u4EE5\u4E0A\u3001Firefox 3\u4EE5\u4E0A\u3001Chrome 0.2\u4EE5\u4E0A\u3001Safari 2\u4EE5\u4E0A\u3001\u548COpera 9.6\u4EE5\u4E0A\u7248\u672C\u4EE5\u53CA\u591A\u6578\u884C\u52D5\u88DD\u7F6E\u700F\u89BD\u5668\u3002",Menu:"*\u6578\u5B78\u9078\u55AE*: MathJax\u5728\u65B9\u7A0B\u5F0F\u88E1\u6DFB\u52A0\u5FEB\u6377\u9078\u55AE\u3002\u5728\u4EFB\u4F55\u6578\u5B78\u516C\u5F0F\u88E1\u6309\u4E0B\u6ED1\u9F20\u53F3\u9375\u6216\u540C\u6642\u6309\u4E0BCtrl\u9375\u8207\u6ED1\u9F20\u5DE6\u9375\u5373\u53EF\u9032\u5165\u9078\u55AE\u3002",ShowMath:"*\u986F\u793A\u6578\u5B78\u5F62\u5F0F* \u5141\u8A31\u60A8\u67E5\u770B\u516C\u5F0F\u7684\u539F\u59CB\u78BC\u67B6\u69CB\u4EE5\u4FBF\u65BC\u57F7\u884C\u8907\u88FD\u8CBC\u4E0A\u52D5\u4F5C\uFF08\u4EE5MathML\u6216\u539F\u59CB\u683C\u5F0F\uFF09\u3002",Settings:"*\u6578\u5B78\u8A2D\u5B9A* \u80FD\u8B93\u60A8\u8ABF\u6574MathJax\u88E1\u7684\u529F\u80FD\uFF0C\u50CF\u662F\u6578\u5B78\u7B97\u5F0F\u7684\u5927\u5C0F\uFF0C\u548C\u986F\u793A\u516C\u5F0F\u65B9\u9762\u7684\u6A5F\u5236\u3002",Language:"*\u8A9E\u8A00* \u8B93\u60A8\u9078\u64C7\u7D66MathJax\u5728\u9078\u55AE\u548C\u8B66\u544A\u8A0A\u606F\u4E0A\u4F7F\u7528\u7684\u8A9E\u8A00\u3002",Zoom:"*\u6578\u5B78\u516C\u5F0F\u7E2E\u653E*\uFF1A \u5982\u679C\u60A8\u95B1\u8B80\u65B9\u7A0B\u5F0F\u6642\u89BA\u5F97\u770B\u4E0D\u6E05\u695A\uFF0CMathJax\u53EF\u4EE5\u5C07\u6B64\u653E\u5927\u8B93\u60A8\u80FD\u66F4\u65B9\u4FBF\u700F\u89BD\u3002",Accessibilty:"*\u8F14\u52A9\u529F\u80FD*\uFF1A MathJax\u6703\u81EA\u884C\u8207\u87A2\u5E55\u95B1\u8B80\u5668\u904B\u4F5C\u8B93\u8996\u89BA\u969C\u7919\u8005\u89C0\u770B\u6578\u5B78\u516C\u5F0F\u6642\u80FD\u66F4\u52A0\u5BB9\u6613\u3002",Fonts:"*\u5B57\u578B*\uFF1A\u82E5\u60A8\u96FB\u8166\u4E0A\u6709\u5B89\u88DD\u67D0\u4E9B\u7528\u65BC\u6578\u5B78\u516C\u5F0F\u7684\u5B57\u578BMathJax\u5C07\u6703\u4F7F\u7528\u6B64\uFF0C\u5426\u5247\u5C07\u6703\u4F7F\u7528\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u3002\u96D6\u7136\u4E26\u4E0D\u5F37\u5236\u8981\u6C42\uFF0C\u4F46\u672C\u5730\u7AEF\u4E0A\u82E5\u6709\u5B89\u88DD\u76F8\u95DC\u5B57\u578B\u53EF\u52A0\u5FEB\u9801\u9762\u7684\u6392\u7248\u901F\u5EA6\uFF0C\u800C\u6211\u5011\u5EFA\u8B70\u5B89\u88DD[STIX fonts](%1)\u3002",CloseDialog:"\u95DC\u9589\u8AAA\u660E\u5C0D\u8A71\u6846"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/HelpDialog.js");
diff --git a/localization/zh-hant/MathML.js b/localization/zh-hant/MathML.js
index f71a6ac5c3..af13d2cf06 100644
--- a/localization/zh-hant/MathML.js
+++ b/localization/zh-hant/MathML.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hant/MathML.js
+ *  /MathJax-v2/localization/zh-hant/MathML.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hant","MathML",{version:"2.7.6",isLoaded:true,strings:{BadMglyph:"\u4E0D\u6B63\u78BA\u7684mglyph\uFF1A%1",BadMglyphFont:"\u932F\u8AA4\u5B57\u578B\uFF1A%1",MathPlayer:"MathJax\u6C92\u6709\u8FA6\u6CD5\u8A2D\u7F6EMathPlayer\u3002\n\n\u5982\u679CMathPlayer\u672A\u88AB\u5B89\u88DD\uFF0C\u60A8\u9700\u8981\u5148\u5B89\u88DD\u6B64\u5957\u4EF6\u3002\n\u5426\u5247\u60A8\u7684\u5B89\u5168\u8A2D\u7F6E\u5167\u5BB9\u53EF\u80FD\u6703\u963B\u7919ActiveX\u63A7\u5236\u65B9\u9762\u7684\u904B\u4F5C\u3002\u82E5\u662FIE\u700F\u89BD\u5668\u9EDE\u9078\u9078\u55AE\u88E1\u7684\u300C\u5DE5\u5177\u300D\u4E2D\u7684\u300C\u7DB2\u969B\u7DB2\u8DEF\u9078\u9805\u300D\u5F8C\u518D\u9078\u64C7\u300C\u5B89\u5168\u6027\u300D\uFF0C\u7136\u5F8C\u6309\u4E0B\u300C\u81EA\u8A02\u5C64\u7D1A\u300D\u6309\u9375\u3002\u6AA2\u67E5\u95DC\u65BC\u300C\u57F7\u884CActiveX\u63A7\u5236\u9805\u300D\u548C\u300C\u4E8C\u9032\u4F4D\u548C\u6307\u4EE4\u78BC\u884C\u70BA\u300D\u7684\u8A2D\u5B9A\u662F\u5426\u958B\u555F\u3002\n\n\u76EE\u524D\u60A8\u6240\u770B\u5230\u7684\u662F\u932F\u8AA4\u8A0A\u606F\u800C\u975E\u6578\u5B78\u516C\u5F0F\u6392\u7248\u554F\u984C",CantCreateXMLParser:"MathJax\u7121\u6CD5\u5EFA\u7ACB\u4E00\u500B\u7528\u65BCMathML\u7684XML\u89E3\u6790\u3002\n\n\u6AA2\u67E5\u300C\u4EE5Script\u7A0B\u5F0F\u64CD\u63A7\u5B89\u5168\u6A19\u793A\u7684ActiveX \u63A7\u5236\u9805\u300D\u8A2D\u5B9A\u662F\u5426\u958B\u555F\uFF08\u82E5\u662FIE\u700F\u89BD\u5668\u9EDE\u9078\u9078\u55AE\u88E1\u7684\u300C\u5DE5\u5177\u300D\u4E2D\u7684\u300C\u7DB2\u969B\u7DB2\u8DEF\u9078\u9805\u300D\u5F8C\u518D\u9078\u64C7\u300C\u5B89\u5168\u6027\u300D\uFF0C\u7136\u5F8C\u6309\u4E0B\u300C\u81EA\u8A02\u5C64\u7D1A\u300D\u6309\u9375\u4F86\u627E\u5C0B\uFF09\u3002",UnknownNodeType:"\u4E0D\u660E\u7684\u7BC0\u9EDE\u985E\u578B\uFF1A%1",UnexpectedTextNode:"\u975E\u9810\u671F\u7684\u6587\u5B57\u7BC0\u9EDE\uFF1A%1",ErrorParsingMathML:"\u89E3\u6790MathML\u51FA\u932F",ParsingError:"\u89E3\u6790MathML\u51FA\u932F\uFF1A %1",MathMLSingleElement:"MathML\u5FC5\u9808\u4EE5\u55AE\u4E00\u5143\u7D20\u69CB\u6210",MathMLRootElement:"MathML\u5FC5\u9808\u7531\u003Cmath\u003E\u5143\u7D20\u69CB\u6210\uFF0C\u800C\u975E%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/MathML.js");
+MathJax.Localization.addTranslation("zh-hant","MathML",{version:"2.7.9",isLoaded:true,strings:{BadMglyph:"\u4E0D\u6B63\u78BA\u7684mglyph\uFF1A%1",BadMglyphFont:"\u932F\u8AA4\u5B57\u578B\uFF1A%1",MathPlayer:"MathJax\u6C92\u6709\u8FA6\u6CD5\u8A2D\u7F6EMathPlayer\u3002\n\n\u5982\u679CMathPlayer\u672A\u88AB\u5B89\u88DD\uFF0C\u60A8\u9700\u8981\u5148\u5B89\u88DD\u6B64\u5957\u4EF6\u3002\n\u5426\u5247\u60A8\u7684\u5B89\u5168\u8A2D\u7F6E\u5167\u5BB9\u53EF\u80FD\u6703\u963B\u7919ActiveX\u63A7\u5236\u65B9\u9762\u7684\u904B\u4F5C\u3002\u82E5\u662FIE\u700F\u89BD\u5668\u9EDE\u9078\u9078\u55AE\u88E1\u7684\u300C\u5DE5\u5177\u300D\u4E2D\u7684\u300C\u7DB2\u969B\u7DB2\u8DEF\u9078\u9805\u300D\u5F8C\u518D\u9078\u64C7\u300C\u5B89\u5168\u6027\u300D\uFF0C\u7136\u5F8C\u6309\u4E0B\u300C\u81EA\u8A02\u5C64\u7D1A\u300D\u6309\u9375\u3002\u6AA2\u67E5\u95DC\u65BC\u300C\u57F7\u884CActiveX\u63A7\u5236\u9805\u300D\u548C\u300C\u4E8C\u9032\u4F4D\u548C\u6307\u4EE4\u78BC\u884C\u70BA\u300D\u7684\u8A2D\u5B9A\u662F\u5426\u958B\u555F\u3002\n\n\u76EE\u524D\u60A8\u6240\u770B\u5230\u7684\u662F\u932F\u8AA4\u8A0A\u606F\u800C\u975E\u6578\u5B78\u516C\u5F0F\u6392\u7248\u554F\u984C",CantCreateXMLParser:"MathJax\u7121\u6CD5\u5EFA\u7ACB\u4E00\u500B\u7528\u65BCMathML\u7684XML\u89E3\u6790\u3002\n\n\u6AA2\u67E5\u300C\u4EE5Script\u7A0B\u5F0F\u64CD\u63A7\u5B89\u5168\u6A19\u793A\u7684ActiveX \u63A7\u5236\u9805\u300D\u8A2D\u5B9A\u662F\u5426\u958B\u555F\uFF08\u82E5\u662FIE\u700F\u89BD\u5668\u9EDE\u9078\u9078\u55AE\u88E1\u7684\u300C\u5DE5\u5177\u300D\u4E2D\u7684\u300C\u7DB2\u969B\u7DB2\u8DEF\u9078\u9805\u300D\u5F8C\u518D\u9078\u64C7\u300C\u5B89\u5168\u6027\u300D\uFF0C\u7136\u5F8C\u6309\u4E0B\u300C\u81EA\u8A02\u5C64\u7D1A\u300D\u6309\u9375\u4F86\u627E\u5C0B\uFF09\u3002",UnknownNodeType:"\u4E0D\u660E\u7684\u7BC0\u9EDE\u985E\u578B\uFF1A%1",UnexpectedTextNode:"\u975E\u9810\u671F\u7684\u6587\u5B57\u7BC0\u9EDE\uFF1A%1",ErrorParsingMathML:"\u89E3\u6790MathML\u51FA\u932F",ParsingError:"\u89E3\u6790MathML\u51FA\u932F\uFF1A %1",MathMLSingleElement:"MathML\u5FC5\u9808\u4EE5\u55AE\u4E00\u5143\u7D20\u69CB\u6210",MathMLRootElement:"MathML\u5FC5\u9808\u7531\u003Cmath\u003E\u5143\u7D20\u69CB\u6210\uFF0C\u800C\u975E%1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/MathML.js");
diff --git a/localization/zh-hant/MathMenu.js b/localization/zh-hant/MathMenu.js
index e6851e0dbd..b2742bdf29 100644
--- a/localization/zh-hant/MathMenu.js
+++ b/localization/zh-hant/MathMenu.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hant/MathMenu.js
+ *  /MathJax-v2/localization/zh-hant/MathMenu.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hant","MathMenu",{version:"2.7.6",isLoaded:true,strings:{Show:"\u986F\u793A\u6578\u5B78\u5F62\u5F0F",MathMLcode:"MathML\u4EE3\u78BC",OriginalMathML:"\u539F\u59CBMathML",TeXCommands:"TeX\u547D\u4EE4",AsciiMathInput:"AsciiMathML\u8F38\u5165",Original:"\u539F\u59CB\u683C\u5F0F",ErrorMessage:"\u932F\u8AA4\u8A0A\u606F",Annotation:"\u8A3B\u91CB",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML\u5167\u5BB9",OpenMath:"OpenMath",texHints:"\u5728MathML\u986F\u793ATeX\u63D0\u793A",Settings:"\u6578\u5B78\u8A2D\u5B9A",ZoomTrigger:"\u7E2E\u653E\u89F8\u767C",Hover:"\u6E38\u6A19\u8986\u84CB",Click:"\u9EDE\u9078",DoubleClick:"\u96D9\u64CA",NoZoom:"\u95DC\u9589\u7E2E\u653E",TriggerRequires:"\u89F8\u767C\u9700\u6C42\uFF1A",Option:"\u9078\u9805",Alt:"Alt\u9375",Command:"Command\u9375",Control:"Ctrl\u9375",Shift:"Shift\u9375",ZoomFactor:"\u7E2E\u653E\u500D\u7387",Renderer:"\u5448\u73FE\u6578\u5B78\u65B9\u5F0F",MPHandles:"\u7531MathPlayer\u8655\u7406\uFF1A",MenuEvents:"\u9078\u55AE\u4E8B\u4EF6",MouseEvents:"\u6E38\u6A19\u4E8B\u4EF6",MenuAndMouse:"\u6E38\u6A19\u8207\u9078\u55AE\u4E8B\u4EF6",FontPrefs:"\u5B57\u578B\u504F\u597D\u8A2D\u5B9A",ForHTMLCSS:"\u7528\u65BCHTML-CSS\uFF1A",Auto:"\u81EA\u52D5",TeXLocal:"Tex\uFF08\u672C\u5730\uFF09",TeXWeb:"Tex\uFF08\u7DB2\u9801\uFF09",TeXImage:"Tex\uFF08\u5716\u50CF\uFF09",STIXLocal:"STIX\uFF08\u672C\u5730\uFF09",STIXWeb:"STIX\uFF08\u7DB2\u9801\uFF09",AsanaMathWeb:"Asana Math\uFF08\u7DB2\u9801\uFF09",GyrePagellaWeb:"Gyre Pagella\uFF08\u7DB2\u9801\uFF09",GyreTermesWeb:"Gyre Termes\uFF08\u7DB2\u9801\uFF09",LatinModernWeb:"Latin Modern\uFF08\u7DB2\u9801\uFF09",NeoEulerWeb:"Neo Euler\uFF08\u7DB2\u9801\uFF09",ContextMenu:"\u4E0A\u4E0B\u6587\u9078\u55AE",Browser:"\u700F\u89BD\u5668",Scale:"\u7E2E\u653E\u6240\u6709\u6578\u5B78\u516C\u5F0F\u2027\u2027\u2027",Discoverable:"\u5728\u6E38\u6A19\u8986\u84CB\u6642\u5F37\u8ABF\u5167\u5BB9",Locale:"\u8A9E\u8A00",LoadLocale:"\u5F9EURL\u8F09\u5165...",About:"\u95DC\u65BCMathJax",Help:"MathJax\u8AAA\u660E",localTeXfonts:"\u4F7F\u7528\u672C\u5730TeX\u5B57\u578B",webTeXfonts:"\u4F7F\u7528\u7DB2\u9801TeX\u5B57\u578B",imagefonts:"\u4F7F\u7528\u5716\u50CF\u5B57\u578B",localSTIXfonts:"\u4F7F\u7528\u672C\u5730STIX\u5B57\u578B",webSVGfonts:"\u4F7F\u7528\u7DB2\u9801SVG\u5B57\u578B",genericfonts:"\u4F7F\u7528\u901A\u7528\u842C\u570B\u78BC\u5B57\u578B",wofforotffonts:"WOFF\u6216OTF\u5B57\u578B",eotffonts:"EOT\u5B57\u578B",svgfonts:"SVG\u5B57\u578B",WebkitNativeMMLWarning:"\u60A8\u7684\u700F\u89BD\u5668\u4E0D\u652F\u63F4MathML natively\uFF0C\u56E0\u6B64\u5207\u63DB\u81F3MathML\u8F38\u51FA\u53EF\u80FD\u6703\u5C0E\u81F4\u9801\u9762\u4E0A\u7684\u6578\u5B78\u516C\u5F0F\u7121\u6CD5\u8B80\u53D6\u3002",MSIENativeMMLWarning:"IE\u700F\u89BD\u5668\u9700\u8981MathPlayer\u5916\u639B\u624D\u80FD\u8655\u7406MathML\u8F38\u51FA\u5167\u5BB9\u3002",OperaNativeMMLWarning:"Opera\u700F\u89BD\u5668\u5728\u5C0D\u65BC\u652F\u63F4MathML\u65B9\u9762\u6709\u9650\uFF0C\u6240\u4EE5\u8F49\u63DB\u81F3MathML\u8F38\u51FA\u4E5F\u8A31\u6703\u9020\u6210\u4E00\u4E9B\u8868\u9054\u5F0F\u4E0D\u80FD\u6B63\u78BA\u5448\u73FE\u3002",SafariNativeMMLWarning:"\u60A8\u7684\u700F\u89BD\u5668\u9644\u52A0\u5143\u4EF6native MathML\u4E0D\u652F\u63F4\u6240\u6709MathJax\u529F\u80FD\uFF0C\u6240\u4EE5\u8868\u9054\u5F0F\u53EF\u80FD\u7121\u6CD5\u6B63\u5E38\u5448\u73FE\u3002",FirefoxNativeMMLWarning:"\u60A8\u7684\u700F\u89BD\u5668\u9644\u52A0\u5143\u4EF6native MathML\u4E0D\u652F\u63F4\u6240\u6709MathJax\u529F\u80FD\uFF0C\u6240\u4EE5\u8868\u9054\u5F0F\u53EF\u80FD\u7121\u6CD5\u6B63\u5E38\u5448\u73FE\u3002",MSIESVGWarning:"SVG\u5728IE9\u4E4B\u524D\u7248\u672C\u7684IE\u700F\u89BD\u5668\u3001\u6216\u8B93IE9\u6A21\u64ECIE8\u4EE5\u4E0B\u67B6\u69CB\u904B\u4F5C\u6642\uFF0C\u5728\u8F49\u63DB\u81F3SVG\u8F38\u51FA\u6703\u5C0E\u81F4\u6578\u5B78\u516C\u5F0F\u7121\u6CD5\u6B63\u5E38\u986F\u793A\u3002",LoadURL:"\u5F9E\u6B64URL\u8F09\u5165\u8F49\u63DB\u8CC7\u6599\uFF1A",BadURL:"URL\u61C9\u8A72\u662F\u500B\u5B9A\u7FA9MathJax\u8F49\u63DB\u8CC7\u6599\u7684JavaScript\u6A94\u6848\u3002JavaScript\u6A94\u6848\u540D\u7A31\u7D50\u5C3E\u61C9\u70BA\u300C.js\u300D\u3002",BadData:"\u5F9E%1\u8F09\u5165\u8F49\u63DB\u8CC7\u6599\u51FA\u932F",SwitchAnyway:"\u4E00\u5B9A\u8981\u5207\u63DB\u5448\u73FE\u65B9\u5F0F\uFF1F\n\n\uFF08\u9EDE\u64CAOK\u9032\u884C\u5207\u63DB\uFF0C\u9EDE\u64CA\u53D6\u6D88\u7E7C\u7E8C\u4EE5\u76EE\u524D\u65B9\u5F0F\u5448\u73FE\uFF09",ScaleMath:"\u7E2E\u653E\u6240\u6709\u6578\u5B78\u516C\u5F0F\uFF08\u8207\u570D\u7E5E\u7684\u6587\u5B57\u505A\u5C0D\u6BD4\uFF09\u4F9D",NonZeroScale:"\u6BD4\u4F8B\u4E0D\u61C9\u70BA\u96F6",PercentScale:"\u6BD4\u4F8B\u61C9\u70BA\u767E\u5206\u6BD4\u683C\u5F0F\uFF08\u4F8B\u5982120%%\uFF09",IE8warning:"\u9019\u5C07\u6703\u95DC\u9589MathJax\u9078\u55AE\u4EE5\u53CA\u7E2E\u653E\u529F\u80FD\uFF0C\u4F46\u60A8\u53EF\u4EE5\u5728\u67D0\u4E00\u8868\u9054\u5F0F\u4E0A\u540C\u6642\u6309\u4E0BAlt\u9375\u548C\u6ED1\u9F20\u5DE6\u9375\u4F86\u9032\u5165MathJax\u9078\u55AE\u3002\n\n\u78BA\u5B9A\u8981\u66F4\u6539MathPlayer\u8A2D\u5B9A\uFF1F",IE9warning:"MathJax\u5FEB\u6377\u9078\u55AE\u5C07\u6703\u88AB\u505C\u7528\uFF0C\u4F46\u60A8\u53EF\u4EE5\u5728\u67D0\u500B\u8868\u9054\u5F0F\u4E0A\u540C\u6642\u6309\u4E0BAlt\u9375\u548C\u6ED1\u9F20\u5DE6\u9375\u4F86\u547C\u53EB\u9078\u55AE\u3002",NoOriginalForm:"\u6C92\u6709\u53EF\u7528\u7684\u539F\u59CB\u683C\u5F0F",Close:"\u95DC\u9589",EqSource:"MathJax\u65B9\u7A0B\u5F0F\u4F86\u6E90",CloseAboutDialog:"\u95DC\u9589\u95DC\u65BCMathJax\u5C0D\u8A71\u6846",FastPreview:"\u5FEB\u901F\u9810\u89BD",AssistiveMML:"\u8F14\u52A9MathML",InTabOrder:"\u5305\u542B\u5728\u6A19\u7C64\u9806\u5E8F\u88E1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/MathMenu.js");
+MathJax.Localization.addTranslation("zh-hant","MathMenu",{version:"2.7.9",isLoaded:true,strings:{Show:"\u986F\u793A\u6578\u5B78\u5F62\u5F0F",MathMLcode:"MathML\u4EE3\u78BC",OriginalMathML:"\u539F\u59CBMathML",TeXCommands:"TeX\u547D\u4EE4",AsciiMathInput:"AsciiMathML\u8F38\u5165",Original:"\u539F\u59CB\u683C\u5F0F",ErrorMessage:"\u932F\u8AA4\u8A0A\u606F",Annotation:"\u8A3B\u91CB",TeX:"TeX",StarMath:"StarMath",Maple:"Maple",ContentMathML:"MathML\u5167\u5BB9",OpenMath:"OpenMath",texHints:"\u5728MathML\u986F\u793ATeX\u63D0\u793A",Settings:"\u6578\u5B78\u8A2D\u5B9A",ZoomTrigger:"\u7E2E\u653E\u89F8\u767C",Hover:"\u6E38\u6A19\u8986\u84CB",Click:"\u9EDE\u9078",DoubleClick:"\u96D9\u64CA",NoZoom:"\u95DC\u9589\u7E2E\u653E",TriggerRequires:"\u89F8\u767C\u9700\u6C42\uFF1A",Option:"\u9078\u9805",Alt:"Alt\u9375",Command:"Command\u9375",Control:"Ctrl\u9375",Shift:"Shift\u9375",ZoomFactor:"\u7E2E\u653E\u500D\u7387",Renderer:"\u5448\u73FE\u6578\u5B78\u65B9\u5F0F",MPHandles:"\u7531MathPlayer\u8655\u7406\uFF1A",MenuEvents:"\u9078\u55AE\u4E8B\u4EF6",MouseEvents:"\u6E38\u6A19\u4E8B\u4EF6",MenuAndMouse:"\u6E38\u6A19\u8207\u9078\u55AE\u4E8B\u4EF6",FontPrefs:"\u5B57\u578B\u504F\u597D\u8A2D\u5B9A",ForHTMLCSS:"\u7528\u65BCHTML-CSS\uFF1A",Auto:"\u81EA\u52D5",TeXLocal:"Tex\uFF08\u672C\u5730\uFF09",TeXWeb:"Tex\uFF08\u7DB2\u9801\uFF09",TeXImage:"Tex\uFF08\u5716\u50CF\uFF09",STIXLocal:"STIX\uFF08\u672C\u5730\uFF09",STIXWeb:"STIX\uFF08\u7DB2\u9801\uFF09",AsanaMathWeb:"Asana Math\uFF08\u7DB2\u9801\uFF09",GyrePagellaWeb:"Gyre Pagella\uFF08\u7DB2\u9801\uFF09",GyreTermesWeb:"Gyre Termes\uFF08\u7DB2\u9801\uFF09",LatinModernWeb:"Latin Modern\uFF08\u7DB2\u9801\uFF09",NeoEulerWeb:"Neo Euler\uFF08\u7DB2\u9801\uFF09",ContextMenu:"\u4E0A\u4E0B\u6587\u9078\u55AE",Browser:"\u700F\u89BD\u5668",Scale:"\u7E2E\u653E\u6240\u6709\u6578\u5B78\u516C\u5F0F\u2027\u2027\u2027",Discoverable:"\u5728\u6E38\u6A19\u8986\u84CB\u6642\u5F37\u8ABF\u5167\u5BB9",Locale:"\u8A9E\u8A00",LoadLocale:"\u5F9EURL\u8F09\u5165...",About:"\u95DC\u65BCMathJax",Help:"MathJax\u8AAA\u660E",localTeXfonts:"\u4F7F\u7528\u672C\u5730TeX\u5B57\u578B",webTeXfonts:"\u4F7F\u7528\u7DB2\u9801TeX\u5B57\u578B",imagefonts:"\u4F7F\u7528\u5716\u50CF\u5B57\u578B",localSTIXfonts:"\u4F7F\u7528\u672C\u5730STIX\u5B57\u578B",webSVGfonts:"\u4F7F\u7528\u7DB2\u9801SVG\u5B57\u578B",genericfonts:"\u4F7F\u7528\u901A\u7528\u842C\u570B\u78BC\u5B57\u578B",wofforotffonts:"WOFF\u6216OTF\u5B57\u578B",eotffonts:"EOT\u5B57\u578B",svgfonts:"SVG\u5B57\u578B",WebkitNativeMMLWarning:"\u60A8\u7684\u700F\u89BD\u5668\u4E0D\u652F\u63F4MathML natively\uFF0C\u56E0\u6B64\u5207\u63DB\u81F3MathML\u8F38\u51FA\u53EF\u80FD\u6703\u5C0E\u81F4\u9801\u9762\u4E0A\u7684\u6578\u5B78\u516C\u5F0F\u7121\u6CD5\u8B80\u53D6\u3002",MSIENativeMMLWarning:"IE\u700F\u89BD\u5668\u9700\u8981MathPlayer\u5916\u639B\u624D\u80FD\u8655\u7406MathML\u8F38\u51FA\u5167\u5BB9\u3002",OperaNativeMMLWarning:"Opera\u700F\u89BD\u5668\u5728\u5C0D\u65BC\u652F\u63F4MathML\u65B9\u9762\u6709\u9650\uFF0C\u6240\u4EE5\u8F49\u63DB\u81F3MathML\u8F38\u51FA\u4E5F\u8A31\u6703\u9020\u6210\u4E00\u4E9B\u8868\u9054\u5F0F\u4E0D\u80FD\u6B63\u78BA\u5448\u73FE\u3002",SafariNativeMMLWarning:"\u60A8\u7684\u700F\u89BD\u5668\u9644\u52A0\u5143\u4EF6native MathML\u4E0D\u652F\u63F4\u6240\u6709MathJax\u529F\u80FD\uFF0C\u6240\u4EE5\u8868\u9054\u5F0F\u53EF\u80FD\u7121\u6CD5\u6B63\u5E38\u5448\u73FE\u3002",FirefoxNativeMMLWarning:"\u60A8\u7684\u700F\u89BD\u5668\u9644\u52A0\u5143\u4EF6native MathML\u4E0D\u652F\u63F4\u6240\u6709MathJax\u529F\u80FD\uFF0C\u6240\u4EE5\u8868\u9054\u5F0F\u53EF\u80FD\u7121\u6CD5\u6B63\u5E38\u5448\u73FE\u3002",MSIESVGWarning:"SVG\u5728IE9\u4E4B\u524D\u7248\u672C\u7684IE\u700F\u89BD\u5668\u3001\u6216\u8B93IE9\u6A21\u64ECIE8\u4EE5\u4E0B\u67B6\u69CB\u904B\u4F5C\u6642\uFF0C\u5728\u8F49\u63DB\u81F3SVG\u8F38\u51FA\u6703\u5C0E\u81F4\u6578\u5B78\u516C\u5F0F\u7121\u6CD5\u6B63\u5E38\u986F\u793A\u3002",LoadURL:"\u5F9E\u6B64URL\u8F09\u5165\u8F49\u63DB\u8CC7\u6599\uFF1A",BadURL:"URL\u61C9\u8A72\u662F\u500B\u5B9A\u7FA9MathJax\u8F49\u63DB\u8CC7\u6599\u7684JavaScript\u6A94\u6848\u3002JavaScript\u6A94\u6848\u540D\u7A31\u7D50\u5C3E\u61C9\u70BA\u300C.js\u300D\u3002",BadData:"\u5F9E%1\u8F09\u5165\u8F49\u63DB\u8CC7\u6599\u51FA\u932F",SwitchAnyway:"\u4E00\u5B9A\u8981\u5207\u63DB\u5448\u73FE\u65B9\u5F0F\uFF1F\n\n\uFF08\u9EDE\u64CAOK\u9032\u884C\u5207\u63DB\uFF0C\u9EDE\u64CA\u53D6\u6D88\u7E7C\u7E8C\u4EE5\u76EE\u524D\u65B9\u5F0F\u5448\u73FE\uFF09",ScaleMath:"\u7E2E\u653E\u6240\u6709\u6578\u5B78\u516C\u5F0F\uFF08\u8207\u570D\u7E5E\u7684\u6587\u5B57\u505A\u5C0D\u6BD4\uFF09\u4F9D",NonZeroScale:"\u6BD4\u4F8B\u4E0D\u61C9\u70BA\u96F6",PercentScale:"\u6BD4\u4F8B\u61C9\u70BA\u767E\u5206\u6BD4\u683C\u5F0F\uFF08\u4F8B\u5982120%%\uFF09",IE8warning:"\u9019\u5C07\u6703\u95DC\u9589MathJax\u9078\u55AE\u4EE5\u53CA\u7E2E\u653E\u529F\u80FD\uFF0C\u4F46\u60A8\u53EF\u4EE5\u5728\u67D0\u4E00\u8868\u9054\u5F0F\u4E0A\u540C\u6642\u6309\u4E0BAlt\u9375\u548C\u6ED1\u9F20\u5DE6\u9375\u4F86\u9032\u5165MathJax\u9078\u55AE\u3002\n\n\u78BA\u5B9A\u8981\u66F4\u6539MathPlayer\u8A2D\u5B9A\uFF1F",IE9warning:"MathJax\u5FEB\u6377\u9078\u55AE\u5C07\u6703\u88AB\u505C\u7528\uFF0C\u4F46\u60A8\u53EF\u4EE5\u5728\u67D0\u500B\u8868\u9054\u5F0F\u4E0A\u540C\u6642\u6309\u4E0BAlt\u9375\u548C\u6ED1\u9F20\u5DE6\u9375\u4F86\u547C\u53EB\u9078\u55AE\u3002",NoOriginalForm:"\u6C92\u6709\u53EF\u7528\u7684\u539F\u59CB\u683C\u5F0F",Close:"\u95DC\u9589",EqSource:"MathJax\u65B9\u7A0B\u5F0F\u4F86\u6E90",CloseAboutDialog:"\u95DC\u9589\u95DC\u65BCMathJax\u5C0D\u8A71\u6846",FastPreview:"\u5FEB\u901F\u9810\u89BD",AssistiveMML:"\u8F14\u52A9MathML",InTabOrder:"\u5305\u542B\u5728\u6A19\u7C64\u9806\u5E8F\u88E1"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/MathMenu.js");
diff --git a/localization/zh-hant/TeX.js b/localization/zh-hant/TeX.js
index 18e560e170..a4c7047009 100644
--- a/localization/zh-hant/TeX.js
+++ b/localization/zh-hant/TeX.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hant/TeX.js
+ *  /MathJax-v2/localization/zh-hant/TeX.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hant","TeX",{version:"2.7.6",isLoaded:true,strings:{ExtraOpenMissingClose:"\u591A\u9918\u7684\u5DE6\u62EC\u5F27\u6216\u7F3A\u5C11\u53F3\u62EC\u5F27",ExtraCloseMissingOpen:"\u591A\u51FA\u7684\u53F3\u62EC\u865F\u6216\u907A\u5931\u5DE6\u62EC\u865F",MissingLeftExtraRight:"\u907A\u5931 \\left \u6216\u591A\u9918 \\right",MissingScript:"\u7F3A\u5C11\u4E0A\u6A19\u6216\u4E0B\u6A19\u53C3\u6578",ExtraLeftMissingRight:"\u6709\u591A\u51FA\u4F86\u7684 \\left \u6216\u6C92\u88DC\u4E0A \\right",Misplaced:"%1\u653E\u932F\u4F4D\u7F6E",MissingOpenForSub:"\u7F3A\u5C11\u7528\u65BC\u4E0B\u6A19\u7684\u5DE6\u62EC\u865F",MissingOpenForSup:"\u7F3A\u5C11\u7528\u65BC\u4E0A\u6A19\u7684\u5DE6\u62EC\u865F",AmbiguousUseOf:"%1\u7684\u4F7F\u7528\u4E0D\u660E\u78BA",EnvBadEnd:"\\begin{%1}\u4EE5\\end{%2}\u4F86\u7D50\u675F",EnvMissingEnd:"\u7F3A\u5C11\\end{%1}",MissingBoxFor:"\u7F3A\u5C11\u7528\u65BC%1\u7684\u6846",MissingCloseBrace:"\u7F3A\u5C11\u53F3\u62EC\u865F",UndefinedControlSequence:"\u672A\u5B9A\u7FA9\u7684\u63A7\u5236\u6578\u5217%1",DoubleExponent:"\u51FA\u73FE\u5169\u500B\u6307\u6578\uFF1A\u4F7F\u7528\u5927\u62EC\u865F{}\u4F86\u5206\u6E05\u695A",DoubleSubscripts:"\u51FA\u73FE\u5169\u500B\u5E95\u7DDA\uFF1A\u4F7F\u7528\u5927\u62EC\u865F{}\u4F86\u5206\u6E05\u695A",DoubleExponentPrime:"\u89D2\u5206\u7B26\u865F\u5C0E\u81F4\u7522\u751F\u96D9\u91CD\u6307\u6578\uFF1A\u4F7F\u7528\u5927\u62EC\u865F\u4F86\u5340\u5206",CantUseHash1:"\u5728\u6578\u5B78\u6A21\u5F0F\u88E1\u60A8\u4E0D\u80FD\u4F7F\u7528\u300C\u5DE8\u96C6\u53C3\u6578\u5B57\u5143 #\u300D",MisplacedMiddle:"%1\u5FC5\u9808\u5728 \\left \u548C \\right \u4E4B\u9593",MisplacedLimits:"%1\u50C5\u5141\u8A31\u7528\u5728\u904B\u7B97\u5F0F\u4E0A",MisplacedMoveRoot:"%1\u50C5\u80FD\u5728\u5E36\u6709root\u5B57\u5143\u4E0B\u5448\u73FE",MultipleCommand:"\u591A\u500B %1",IntegerArg:"\u53C3\u6578%1\u5FC5\u9808\u662F\u500B\u6574\u6578",NotMathMLToken:"%1\u4E0D\u662F\u4E00\u500B\u6A19\u793A\u5143\u7D20",InvalidMathMLAttr:"\u7121\u6548MathML\u5C6C\u6027\uFF1A %1",UnknownAttrForElement:"%1\u5728%2\u4E0D\u662F\u53EF\u8FA8\u8B58\u5C6C\u6027",MaxMacroSub1:"\u8D85\u51FAMathJax\u5DE8\u96C6\u66FF\u4EE3\u6B21\u6578\u4E0A\u9650\uFF1B\u662F\u5426\u5B58\u5728\u905E\u8FF4\u5DE8\u96C6\u547C\u53EB\u5167\u5BB9\uFF1F",MaxMacroSub2:"\u5DF2\u8D85\u51FAMathJax\u6700\u5927\u4EE3\u63DB\u6B21\u6578\uFF0C\u5728LaTeX\u74B0\u5883\u88E1\u662F\u5426\u5B58\u6709\u905E\u8FF4\u5167\u5BB9?",MissingArgFor:"\u7F3A\u5C11\u7528\u65BC%1\u53C3\u6578",ExtraAlignTab:"\u5728\\cases\u6587\u5B57\u5167\u5BB9\u88E1\u6709\u591A\u51FA\u7684\u5C0D\u61C9\u53C3\u6578",BracketMustBeDimension:"\u7528\u65BC%1\u7684\u62EC\u865F\u53C3\u6578\u5FC5\u9808\u662F\u4E00\u500B\u7DAD\u5EA6",InvalidEnv:"\u7121\u6548\u74B0\u5883\u540D\u7A31\u300C%1\u300D",UnknownEnv:"\u4E0D\u660E\u74B0\u5883\u8B8A\u6578\u300C%1\u300D",ExtraCloseLooking:"\u5728\u627E\u5C0B%1\u6642\u767C\u73FE\u6709\u591A\u51FA\u4F86\u7684\u53F3\u62EC\u865F",MissingCloseBracket:"%1\u7684\u53C3\u6578\u7121\u6CD5\u627E\u5230\u53F3\u62EC\u865F\u300C]\u300D",MissingOrUnrecognizedDelim:"\u7F3A\u5C11\u6216\u7121\u6CD5\u8FA8\u8B58\u7528\u65BC%1\u7684\u5206\u9694\u7B26\u865F",MissingDimOrUnits:"\u7F3A\u5C11\u7528\u65BC%1\u7684\u7DAD\u5EA6\u6216\u55AE\u4F4D",TokenNotFoundForCommand:"\u7121\u6CD5\u627E\u5230\u7528\u65BC%2\u7684%1",MathNotTerminated:"\u6578\u5B78\u516C\u5F0F\u5728\u6587\u5B57\u6846\u88E1\u672A\u7D50\u675F",IllegalMacroParam:"\u975E\u6CD5\u7684\u5DE8\u96C6\u53C3\u6578\u5F15\u7528",MaxBufferSize:"\u8D85\u51FAMathJax\u5167\u90E8\u7DE9\u885D\u5927\u5C0F\uFF1B\u662F\u5426\u5B58\u5728\u905E\u8FF4\u5DE8\u96C6\u547C\u53EB\u5167\u5BB9\uFF1F",CommandNotAllowedInEnv:"%1 \u4E0D\u88AB\u5141\u8A31\u5728 %2 \u74B0\u5883\u4E0B",MultipleLabel:"\u6A19\u7C64\u300C%1\u300D\u88AB\u591A\u91CD\u5B9A\u7FA9",CommandAtTheBeginingOfLine:"%1\u5FC5\u9808\u4F4D\u5728\u884C\u5217\u7684\u958B\u982D",IllegalAlign:"\u5728%1\u6709\u4E0D\u6B63\u78BA\u6307\u5B9A\u8FA8\u8B58\u65B9\u5F0F",BadMathStyleFor:"%1\u7684\u6578\u5B78\u8868\u793A\u5167\u5BB9\u932F\u8AA4",PositiveIntegerArg:"\u53C3\u6578%1\u5FC5\u9808\u662F\u500B\u6B63\u6574\u6578",ErroneousNestingEq:"\u932F\u8AA4\u7684\u65B9\u7A0B\u5F0F\u5D4C\u5957\u7D50\u69CB",MultlineRowsOneCol:"\u5728%1\u74B0\u5883\u88E1\u7684\u884C\u5217\u5FC5\u9808\u53EA\u6709\u4E00\u6B04",MultipleBBoxProperty:"%1\u5728%2\u88AB\u6307\u5B9A\u5169\u6B21",InvalidBBoxProperty:"\u300C%1\u300D\u4E0D\u50CF\u662F\u4E00\u500B\u8272\u5F69\u3001\u5167\u908A\u7DAD\u5EA6\u3001\u6216\u6A23\u5F0F",ExtraEndMissingBegin:"\u6709\u591A\u9918%1\u6216\u7F3A\u5C11\\begingroup",GlobalNotFollowedBy:"%1\u4E0D\u88AB\\let\u3001\\def\u3001\u6216\\newcommand\u6240\u5141\u8A31",UndefinedColorModel:"\u8272\u5F69\u6A21\u578B\u300C%1\u300D\u6C92\u6709\u5B9A\u7FA9",ModelArg1:"\u7528\u65BC%1\u6A21\u578B\u7684\u8272\u5F69\u6578\u503C\u9700\u89813\u500B\u6578\u5B57",InvalidDecimalNumber:"\u7121\u6548\u5341\u9032\u4F4D\u6578\u5B57",ModelArg2:"\u7528\u65BC%1\u6A21\u578B\u7684\u8272\u5F69\u6578\u503C\u9700\u8981\u4ECB\u65BC%2\u548C%3\u4E4B\u9593",InvalidNumber:"\u7121\u6548\u6578\u5B57",NewextarrowArg1:"%1\u7684\u7B2C\u4E00\u500B\u53C3\u6578\u5FC5\u9808\u662F\u63A7\u5236\u5E8F\u5217\u540D\u7A31",NewextarrowArg2:"%1\u7684\u7B2C\u4E8C\u500B\u53C3\u6578\u5FC5\u9808\u662F\u7531\u9017\u865F\u5206\u958B\u7684\u5169\u500B\u6574\u6578",NewextarrowArg3:"%1\u7684\u7B2C\u4E09\u500B\u53C3\u6578\u5FC5\u9808\u662F\u842C\u570B\u78BC\u5B57\u5143\u6578\u5B57",NoClosingChar:"\u6C92\u6709\u627E\u5230\u5C01\u9589\u7528\u5B57\u5143%1",IllegalControlSequenceName:"\u4E0D\u9069\u5408\u7528\u5728%1\u7684\u63A7\u5236\u5E8F\u5217\u540D\u7A31",IllegalParamNumber:"\u6307\u5B9A\u65BC%1\u7684\u4E0D\u9069\u7576\u6578\u5B57\u53C3\u6578",MissingCS:"%1\u5FC5\u9808\u8DDF\u96A8\u4E00\u500B\u63A7\u5236\u5E8F\u5217",CantUseHash2:"\u5728\u7528\u65BC%1\u7684\u6A21\u677F\u4E0A\u4E0D\u6B63\u78BA\u4F7F\u7528#\u5B57\u5143",SequentialParam:"\u7528\u65BC%1\u7684\u53C3\u6578\u5FC5\u9808\u4F9D\u9806\u5E8F\u7DE8\u865F",MissingReplacementString:"%1\u7684\u5B9A\u7FA9\u7F3A\u5C11\u66FF\u4EE3\u5B57\u4E32",MismatchUseDef:"%1\u7684\u4F7F\u7528\u4E0D\u7B26\u5408\u5B9A\u7FA9",RunawayArgument:"\u6709\u7528\u65BC%1\u7684\u53C3\u6578\u4E0D\u898B\u4E86\uFF1F",NoClosingDelim:"\u5728%1\u7121\u6CD5\u627E\u5230\u7D50\u675F\u7B26\u865F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/TeX.js");
+MathJax.Localization.addTranslation("zh-hant","TeX",{version:"2.7.9",isLoaded:true,strings:{ExtraOpenMissingClose:"\u591A\u9918\u7684\u5DE6\u62EC\u5F27\u6216\u7F3A\u5C11\u53F3\u62EC\u5F27",ExtraCloseMissingOpen:"\u591A\u51FA\u7684\u53F3\u62EC\u865F\u6216\u907A\u5931\u5DE6\u62EC\u865F",MissingLeftExtraRight:"\u907A\u5931 \\left \u6216\u591A\u9918 \\right",MissingScript:"\u7F3A\u5C11\u4E0A\u6A19\u6216\u4E0B\u6A19\u53C3\u6578",ExtraLeftMissingRight:"\u6709\u591A\u51FA\u4F86\u7684 \\left \u6216\u6C92\u88DC\u4E0A \\right",Misplaced:"%1\u653E\u932F\u4F4D\u7F6E",MissingOpenForSub:"\u7F3A\u5C11\u7528\u65BC\u4E0B\u6A19\u7684\u5DE6\u62EC\u865F",MissingOpenForSup:"\u7F3A\u5C11\u7528\u65BC\u4E0A\u6A19\u7684\u5DE6\u62EC\u865F",AmbiguousUseOf:"%1\u7684\u4F7F\u7528\u4E0D\u660E\u78BA",EnvBadEnd:"\\begin{%1}\u4EE5\\end{%2}\u4F86\u7D50\u675F",EnvMissingEnd:"\u7F3A\u5C11\\end{%1}",MissingBoxFor:"\u7F3A\u5C11\u7528\u65BC%1\u7684\u6846",MissingCloseBrace:"\u7F3A\u5C11\u53F3\u62EC\u865F",UndefinedControlSequence:"\u672A\u5B9A\u7FA9\u7684\u63A7\u5236\u6578\u5217%1",DoubleExponent:"\u51FA\u73FE\u5169\u500B\u6307\u6578\uFF1A\u4F7F\u7528\u5927\u62EC\u865F{}\u4F86\u5206\u6E05\u695A",DoubleSubscripts:"\u51FA\u73FE\u5169\u500B\u5E95\u7DDA\uFF1A\u4F7F\u7528\u5927\u62EC\u865F{}\u4F86\u5206\u6E05\u695A",DoubleExponentPrime:"\u89D2\u5206\u7B26\u865F\u5C0E\u81F4\u7522\u751F\u96D9\u91CD\u6307\u6578\uFF1A\u4F7F\u7528\u5927\u62EC\u865F\u4F86\u5340\u5206",CantUseHash1:"\u5728\u6578\u5B78\u6A21\u5F0F\u88E1\u60A8\u4E0D\u80FD\u4F7F\u7528\u300C\u5DE8\u96C6\u53C3\u6578\u5B57\u5143 #\u300D",MisplacedMiddle:"%1\u5FC5\u9808\u5728 \\left \u548C \\right \u4E4B\u9593",MisplacedLimits:"%1\u50C5\u5141\u8A31\u7528\u5728\u904B\u7B97\u5F0F\u4E0A",MisplacedMoveRoot:"%1\u50C5\u80FD\u5728\u5E36\u6709root\u5B57\u5143\u4E0B\u5448\u73FE",MultipleCommand:"\u591A\u500B %1",IntegerArg:"\u53C3\u6578%1\u5FC5\u9808\u662F\u500B\u6574\u6578",NotMathMLToken:"%1\u4E0D\u662F\u4E00\u500B\u6A19\u793A\u5143\u7D20",InvalidMathMLAttr:"\u7121\u6548MathML\u5C6C\u6027\uFF1A %1",UnknownAttrForElement:"%1\u5728%2\u4E0D\u662F\u53EF\u8FA8\u8B58\u5C6C\u6027",MaxMacroSub1:"\u8D85\u51FAMathJax\u5DE8\u96C6\u66FF\u4EE3\u6B21\u6578\u4E0A\u9650\uFF1B\u662F\u5426\u5B58\u5728\u905E\u8FF4\u5DE8\u96C6\u547C\u53EB\u5167\u5BB9\uFF1F",MaxMacroSub2:"\u5DF2\u8D85\u51FAMathJax\u6700\u5927\u4EE3\u63DB\u6B21\u6578\uFF0C\u5728LaTeX\u74B0\u5883\u88E1\u662F\u5426\u5B58\u6709\u905E\u8FF4\u5167\u5BB9?",MissingArgFor:"\u7F3A\u5C11\u7528\u65BC%1\u53C3\u6578",ExtraAlignTab:"\u5728\\cases\u6587\u5B57\u5167\u5BB9\u88E1\u6709\u591A\u51FA\u7684\u5C0D\u61C9\u53C3\u6578",BracketMustBeDimension:"\u7528\u65BC%1\u7684\u62EC\u865F\u53C3\u6578\u5FC5\u9808\u662F\u4E00\u500B\u7DAD\u5EA6",InvalidEnv:"\u7121\u6548\u74B0\u5883\u540D\u7A31\u300C%1\u300D",UnknownEnv:"\u4E0D\u660E\u74B0\u5883\u8B8A\u6578\u300C%1\u300D",ExtraCloseLooking:"\u5728\u627E\u5C0B%1\u6642\u767C\u73FE\u6709\u591A\u51FA\u4F86\u7684\u53F3\u62EC\u865F",MissingCloseBracket:"%1\u7684\u53C3\u6578\u7121\u6CD5\u627E\u5230\u53F3\u62EC\u865F\u300C]\u300D",MissingOrUnrecognizedDelim:"\u7F3A\u5C11\u6216\u7121\u6CD5\u8FA8\u8B58\u7528\u65BC%1\u7684\u5206\u9694\u7B26\u865F",MissingDimOrUnits:"\u7F3A\u5C11\u7528\u65BC%1\u7684\u7DAD\u5EA6\u6216\u55AE\u4F4D",TokenNotFoundForCommand:"\u7121\u6CD5\u627E\u5230\u7528\u65BC%2\u7684%1",MathNotTerminated:"\u6578\u5B78\u516C\u5F0F\u5728\u6587\u5B57\u6846\u88E1\u672A\u7D50\u675F",IllegalMacroParam:"\u975E\u6CD5\u7684\u5DE8\u96C6\u53C3\u6578\u5F15\u7528",MaxBufferSize:"\u8D85\u51FAMathJax\u5167\u90E8\u7DE9\u885D\u5927\u5C0F\uFF1B\u662F\u5426\u5B58\u5728\u905E\u8FF4\u5DE8\u96C6\u547C\u53EB\u5167\u5BB9\uFF1F",CommandNotAllowedInEnv:"%1 \u4E0D\u88AB\u5141\u8A31\u5728 %2 \u74B0\u5883\u4E0B",MultipleLabel:"\u6A19\u7C64\u300C%1\u300D\u88AB\u591A\u91CD\u5B9A\u7FA9",CommandAtTheBeginingOfLine:"%1\u5FC5\u9808\u4F4D\u5728\u884C\u5217\u7684\u958B\u982D",IllegalAlign:"\u5728%1\u6709\u4E0D\u6B63\u78BA\u6307\u5B9A\u8FA8\u8B58\u65B9\u5F0F",BadMathStyleFor:"%1\u7684\u6578\u5B78\u8868\u793A\u5167\u5BB9\u932F\u8AA4",PositiveIntegerArg:"\u53C3\u6578%1\u5FC5\u9808\u662F\u500B\u6B63\u6574\u6578",ErroneousNestingEq:"\u932F\u8AA4\u7684\u65B9\u7A0B\u5F0F\u5D4C\u5957\u7D50\u69CB",MultlineRowsOneCol:"\u5728%1\u74B0\u5883\u88E1\u7684\u884C\u5217\u5FC5\u9808\u53EA\u6709\u4E00\u6B04",MultipleBBoxProperty:"%1\u5728%2\u88AB\u6307\u5B9A\u5169\u6B21",InvalidBBoxProperty:"\u300C%1\u300D\u4E0D\u50CF\u662F\u4E00\u500B\u8272\u5F69\u3001\u5167\u908A\u7DAD\u5EA6\u3001\u6216\u6A23\u5F0F",ExtraEndMissingBegin:"\u6709\u591A\u9918%1\u6216\u7F3A\u5C11\\begingroup",GlobalNotFollowedBy:"%1\u4E0D\u88AB\\let\u3001\\def\u3001\u6216\\newcommand\u6240\u5141\u8A31",UndefinedColorModel:"\u8272\u5F69\u6A21\u578B\u300C%1\u300D\u6C92\u6709\u5B9A\u7FA9",ModelArg1:"\u7528\u65BC%1\u6A21\u578B\u7684\u8272\u5F69\u6578\u503C\u9700\u89813\u500B\u6578\u5B57",InvalidDecimalNumber:"\u7121\u6548\u5341\u9032\u4F4D\u6578\u5B57",ModelArg2:"\u7528\u65BC%1\u6A21\u578B\u7684\u8272\u5F69\u6578\u503C\u9700\u8981\u4ECB\u65BC%2\u548C%3\u4E4B\u9593",InvalidNumber:"\u7121\u6548\u6578\u5B57",NewextarrowArg1:"%1\u7684\u7B2C\u4E00\u500B\u53C3\u6578\u5FC5\u9808\u662F\u63A7\u5236\u5E8F\u5217\u540D\u7A31",NewextarrowArg2:"%1\u7684\u7B2C\u4E8C\u500B\u53C3\u6578\u5FC5\u9808\u662F\u7531\u9017\u865F\u5206\u958B\u7684\u5169\u500B\u6574\u6578",NewextarrowArg3:"%1\u7684\u7B2C\u4E09\u500B\u53C3\u6578\u5FC5\u9808\u662F\u842C\u570B\u78BC\u5B57\u5143\u6578\u5B57",NoClosingChar:"\u6C92\u6709\u627E\u5230\u5C01\u9589\u7528\u5B57\u5143%1",IllegalControlSequenceName:"\u4E0D\u9069\u5408\u7528\u5728%1\u7684\u63A7\u5236\u5E8F\u5217\u540D\u7A31",IllegalParamNumber:"\u6307\u5B9A\u65BC%1\u7684\u4E0D\u9069\u7576\u6578\u5B57\u53C3\u6578",MissingCS:"%1\u5FC5\u9808\u8DDF\u96A8\u4E00\u500B\u63A7\u5236\u5E8F\u5217",CantUseHash2:"\u5728\u7528\u65BC%1\u7684\u6A21\u677F\u4E0A\u4E0D\u6B63\u78BA\u4F7F\u7528#\u5B57\u5143",SequentialParam:"\u7528\u65BC%1\u7684\u53C3\u6578\u5FC5\u9808\u4F9D\u9806\u5E8F\u7DE8\u865F",MissingReplacementString:"%1\u7684\u5B9A\u7FA9\u7F3A\u5C11\u66FF\u4EE3\u5B57\u4E32",MismatchUseDef:"%1\u7684\u4F7F\u7528\u4E0D\u7B26\u5408\u5B9A\u7FA9",RunawayArgument:"\u6709\u7528\u65BC%1\u7684\u53C3\u6578\u4E0D\u898B\u4E86\uFF1F",NoClosingDelim:"\u5728%1\u7121\u6CD5\u627E\u5230\u7D50\u675F\u7B26\u865F"}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/TeX.js");
diff --git a/localization/zh-hant/zh-hant.js b/localization/zh-hant/zh-hant.js
index 3969eb3ba4..4fd1c4a38f 100644
--- a/localization/zh-hant/zh-hant.js
+++ b/localization/zh-hant/zh-hant.js
@@ -1,5 +1,5 @@
 /*
- *  /MathJax/localization/zh-hant/zh-hant.js
+ *  /MathJax-v2/localization/zh-hant/zh-hant.js
  *
  *  Copyright (c) 2009-2018 The MathJax Consortium
  *
@@ -16,4 +16,4 @@
  *  limitations under the License.
  */
 
-MathJax.Localization.addTranslation("zh-hant",null,{menuTitle:"\u6C49\u8BED",version:"2.7.6",isLoaded:true,domains:{_:{version:"2.7.6",isLoaded:true,strings:{MathProcessingError:"\u6578\u5B78\u8655\u7406\u932F\u8AA4",MathError:"\u6578\u5B78\u932F\u8AA4",LoadFile:"\u6B63\u5728\u8F09\u5165%1",Loading:"\u8F09\u5165\u4E2D\u2026",LoadFailed:"\u7121\u6CD5\u8F09\u5165\u6A94\u6848\uFF1A%1",ProcessMath:"\u8655\u7406\u6578\u5B78\uFF1A%1%%",Processing:"\u8655\u7406\u4E2D",TypesetMath:"\u6392\u7248\u6578\u5B78\uFF1A%1%%",Typesetting:"\u6392\u7248",MathJaxNotSupported:"\u60A8\u7684\u700F\u89BD\u5668\u4E0D\u652F\u63F4MathJax",ErrorTips:"\u9664\u932F\u63D0\u793A\uFF1A\u4F7F\u7528%%1\uFF0C\u5728\u700F\u89BD\u5668\u63A7\u5236\u53F0\u6AA2\u67E5%%2"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/zh-hant.js");
+MathJax.Localization.addTranslation("zh-hant",null,{menuTitle:"\u6C49\u8BED",version:"2.7.9",isLoaded:true,domains:{_:{version:"2.7.9",isLoaded:true,strings:{MathProcessingError:"\u6578\u5B78\u8655\u7406\u932F\u8AA4",MathError:"\u6578\u5B78\u932F\u8AA4",LoadFile:"\u6B63\u5728\u8F09\u5165%1",Loading:"\u8F09\u5165\u4E2D\u2026",LoadFailed:"\u7121\u6CD5\u8F09\u5165\u6A94\u6848\uFF1A%1",ProcessMath:"\u8655\u7406\u6578\u5B78\uFF1A%1%%",Processing:"\u8655\u7406\u4E2D",TypesetMath:"\u6392\u7248\u6578\u5B78\uFF1A%1%%",Typesetting:"\u6392\u7248",MathJaxNotSupported:"\u60A8\u7684\u700F\u89BD\u5668\u4E0D\u652F\u63F4MathJax",ErrorTips:"\u9664\u932F\u63D0\u793A\uFF1A\u4F7F\u7528%%1\uFF0C\u5728\u700F\u89BD\u5668\u63A7\u5236\u53F0\u6AA2\u67E5%%2"}},FontWarnings:{},"HTML-CSS":{},HelpDialog:{},MathML:{},MathMenu:{},TeX:{}},plural:function(a){return 1},number:function(a){return a}});MathJax.Ajax.loadComplete("[MathJax]/localization/zh-hant/zh-hant.js");
diff --git a/package.json b/package.json
index eb787e2f50..5e54743d01 100644
--- a/package.json
+++ b/package.json
@@ -1,7 +1,7 @@
 {
   "name": "mathjax",
-  "version": "2.7.6",
-  "description": "Beautiful math in all browsers. MathJax is an open-source JavaScript display engine for LaTeX, MathML, and AsciiMath notation that works in all browsers.",
+  "version": "2.7.9",
+  "description": "Beautiful and accessible math in all browsers. MathJax is an open-source JavaScript display engine for LaTeX, MathML, and AsciiMath notation that works in all browsers.",
   "main": "./unpacked/MathJax.js",
   "keywords": [
     "math",
@@ -25,6 +25,7 @@
     "url": "git://github.com/mathjax/MathJax.git"
   },
   "files": [
+    "MathJax.js",
     "/config",
     "/extensions",
     "/fonts/HTML-CSS/*-*",
diff --git a/test/examples.html b/test/examples.html
index 9bd362ed9c..78b3ac2226 100644
--- a/test/examples.html
+++ b/test/examples.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>MathJax Example Page</title>
-<!-- Copyright (c) 2012-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2012-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
 
diff --git a/test/index-images.html b/test/index-images.html
index 1b0bbd64dc..4f39363f68 100644
--- a/test/index-images.html
+++ b/test/index-images.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>MathJax Test Page</title>
-<!-- Copyright (c) 2009-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2009-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/index.html b/test/index.html
index dc6495ac16..601c0a93b6 100644
--- a/test/index.html
+++ b/test/index.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>MathJax Test Page</title>
-<!-- Copyright (c) 2009-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2009-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/localization.html b/test/localization.html
index 5d64730386..ff4f86e468 100644
--- a/test/localization.html
+++ b/test/localization.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>Localization</title>
-<!-- Copyright (c) 2013-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2013-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
 
diff --git a/test/sample-all-at-once.html b/test/sample-all-at-once.html
index b2f04523f7..98f2d8e13f 100644
--- a/test/sample-all-at-once.html
+++ b/test/sample-all-at-once.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>Wait Until MathJax is Finished Before Showing Page</title>
-<!-- Copyright (c) 2012-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2012-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-asciimath.html b/test/sample-asciimath.html
index 4ca0b48b88..6a8feb672b 100644
--- a/test/sample-asciimath.html
+++ b/test/sample-asciimath.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>MathJax AsciiMath Test Page</title>
-<!-- Copyright (c) 2012-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2012-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-autoload.html b/test/sample-autoload.html
index 0b62955586..86027e9ea4 100644
--- a/test/sample-autoload.html
+++ b/test/sample-autoload.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>Example of defining a macro that autoloads an extension</title>
-<!-- Copyright (c) 2012-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2012-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-dynamic-2.html b/test/sample-dynamic-2.html
index 7bfafb0732..6a22232af0 100644
--- a/test/sample-dynamic-2.html
+++ b/test/sample-dynamic-2.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>Dynamic Preview of Textarea with MathJax Content</title>
-<!-- Copyright (c) 2012-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2012-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-dynamic-steps.html b/test/sample-dynamic-steps.html
index 3f8715d244..6629c22b45 100644
--- a/test/sample-dynamic-steps.html
+++ b/test/sample-dynamic-steps.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>MathJax Dynamic Steps Test Page</title>
-<!-- Copyright (c) 2011-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2011-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-dynamic.html b/test/sample-dynamic.html
index b49b1f679d..39b1d6f9cf 100644
--- a/test/sample-dynamic.html
+++ b/test/sample-dynamic.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>MathJax Dynamic Math Test Page</title>
-<!-- Copyright (c) 2010-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2010-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-eqnum.html b/test/sample-eqnum.html
index feca1555a3..1f87c6d749 100644
--- a/test/sample-eqnum.html
+++ b/test/sample-eqnum.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>MathJax Equation Numbering</title>
-<!-- Copyright (c) 2012-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2012-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-eqrefs.html b/test/sample-eqrefs.html
index eb7df054c5..1614b8d99c 100644
--- a/test/sample-eqrefs.html
+++ b/test/sample-eqrefs.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>MathJax Equation References</title>
-<!-- Copyright (c) 2012-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2012-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-loader-config.html b/test/sample-loader-config.html
index 739c39c6c4..c6ef720e9d 100644
--- a/test/sample-loader-config.html
+++ b/test/sample-loader-config.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>Load MathJax with in-line configuration after the page is ready</title>
-<!-- Copyright (c) 2012-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2012-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-loader.html b/test/sample-loader.html
index 3cb2227d8d..3b66d6fb20 100644
--- a/test/sample-loader.html
+++ b/test/sample-loader.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>Load MathJax after the page is ready</title>
-<!-- Copyright (c) 2012-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2012-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-macros.html b/test/sample-macros.html
index 0af8859cd2..4d410e8305 100644
--- a/test/sample-macros.html
+++ b/test/sample-macros.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>Example of defining a macro that autoloads an extension</title>
-<!-- Copyright (c) 2012-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2012-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-mml.html b/test/sample-mml.html
index be277d33e4..2952e1e9d4 100644
--- a/test/sample-mml.html
+++ b/test/sample-mml.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>MathJax MathML Test Page</title>
-<!-- Copyright (c) 2010-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2010-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-signals.html b/test/sample-signals.html
index c32b0d439a..cb6f1a535e 100644
--- a/test/sample-signals.html
+++ b/test/sample-signals.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>MathJax Signals Test Page</title>
-<!-- Copyright (c) 2010-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2010-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample-tex.html b/test/sample-tex.html
index cdb418c1f1..2a4e502a27 100644
--- a/test/sample-tex.html
+++ b/test/sample-tex.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>MathJax TeX Test Page</title>
-<!-- Copyright (c) 2010-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2010-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/test/sample.html b/test/sample.html
index 3bce087c19..3b1d1de6b5 100644
--- a/test/sample.html
+++ b/test/sample.html
@@ -2,7 +2,7 @@
 <html>
 <head>
 <title>MathJax Test Page</title>
-<!-- Copyright (c) 2009-2019 The MathJax Consortium -->
+<!-- Copyright (c) 2009-2020 The MathJax Consortium -->
 <meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
 <meta http-equiv="X-UA-Compatible" content="IE=edge" />
 <meta name="viewport" content="width=device-width, initial-scale=1">
diff --git a/unpacked/MathJax.js b/unpacked/MathJax.js
index 5934273a22..b195774740 100644
--- a/unpacked/MathJax.js
+++ b/unpacked/MathJax.js
@@ -12,7 +12,7 @@
  *
  *  ---------------------------------------------------------------------
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -45,9 +45,9 @@ if (window.MathJax) {window.MathJax = {AuthorConfig: window.MathJax}}
 
 // MathJax.isPacked = true; // This line is uncommented by the packer.
 
-MathJax.version = "2.7.6";
-MathJax.fileversion = "2.7.6";
-MathJax.cdnVersion = "2.7.6";  // specifies a revision to break caching
+MathJax.version = "2.7.9";
+MathJax.fileversion = "2.7.9";
+MathJax.cdnVersion = "2.7.9";  // specifies a revision to break caching
 MathJax.cdnFileVersions = {};  // can be used to specify revisions for individual files
 
 /**********************************************************/
@@ -667,7 +667,6 @@ MathJax.cdnFileVersions = {};  // can be used to specify revisions for individua
   var PATH = {};
   PATH[BASENAME] = "";                                        // empty path gets the root URL
   PATH.a11y = '[MathJax]/extensions/a11y';                    // a11y extensions
-  PATH.Contrib = "https://cdn.mathjax.org/mathjax/contrib";   // the third-party extensions
 
   BASE.Ajax = {
     loaded: {},         // files already loaded
@@ -1893,7 +1892,10 @@ MathJax.Hub = {
     config: [],      // list of configuration files to load
     styleSheets: [], // list of CSS files to load
     styles: {        // styles to generate in-line
-      ".MathJax_Preview": {color: "#888"}
+      ".MathJax_Preview": {
+        color: "#888",
+        display: "contents" // for RTL languages in Chrome (see issue #2190)
+      }
     },
     jax: [],         // list of input and output jax to load
     extensions: [],  // list of extensions to load
@@ -2910,7 +2912,7 @@ MathJax.Hub.Startup = {
     }
   },{
     id: "Jax",
-    version: "2.7.6",
+    version: "2.7.9",
     directory: ROOT+"/jax",
     extensionDir: ROOT+"/extensions"
   });
@@ -2956,7 +2958,7 @@ MathJax.Hub.Startup = {
     }
   },{
     id: "InputJax",
-    version: "2.7.6",
+    version: "2.7.9",
     directory: JAX.directory+"/input",
     extensionDir: JAX.extensionDir
   });
@@ -2990,7 +2992,7 @@ MathJax.Hub.Startup = {
     Remove: function (jax) {}
   },{
     id: "OutputJax",
-    version: "2.7.6",
+    version: "2.7.9",
     directory: JAX.directory+"/output",
     extensionDir: JAX.extensionDir,
     fontDir: ROOT+(BASE.isPacked?"":"/..")+"/fonts",
@@ -3074,7 +3076,7 @@ MathJax.Hub.Startup = {
     }
   },{
     id: "ElementJax",
-    version: "2.7.6",
+    version: "2.7.9",
     directory: JAX.directory+"/element",
     extensionDir: JAX.extensionDir,
     ID: 0,  // jax counter (for IDs)
@@ -3098,7 +3100,7 @@ MathJax.Hub.Startup = {
   //  Some "Fake" jax used to allow menu access for "Math Processing Error" messages
   //
   BASE.OutputJax.Error = {
-    id: "Error", version: "2.7.6", config: {}, errors: 0,
+    id: "Error", version: "2.7.9", config: {}, errors: 0,
     ContextMenu: function () {return BASE.Extension.MathEvents.Event.ContextMenu.apply(BASE.Extension.MathEvents.Event,arguments)},
     Mousedown:   function () {return BASE.Extension.MathEvents.Event.AltContextMenu.apply(BASE.Extension.MathEvents.Event,arguments)},
     getJaxFromMath: function (math) {return (math.nextSibling.MathJax||{}).error},
@@ -3117,7 +3119,7 @@ MathJax.Hub.Startup = {
     }
   };
   BASE.InputJax.Error = {
-    id: "Error", version: "2.7.6", config: {},
+    id: "Error", version: "2.7.9", config: {},
     sourceMenuTitle: /*_(MathMenu)*/ ["Original","Original Form"]
   };
 
diff --git a/unpacked/config/MMLorHTML.js b/unpacked/config/MMLorHTML.js
index b4b5216aa6..eefd116ded 100644
--- a/unpacked/config/MMLorHTML.js
+++ b/unpacked/config/MMLorHTML.js
@@ -34,7 +34,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/config/Safe.js b/unpacked/config/Safe.js
index 0a41e2cf27..cd1e5d753e 100644
--- a/unpacked/config/Safe.js
+++ b/unpacked/config/Safe.js
@@ -9,12 +9,12 @@
  *  when you load MathJax.js, e.g.
  *  
  *  <script
- *    src="http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS_HTML,Safe">
+ *    src="http://cdn.jsdelivr.net/npm/mathjax@2/MathJax.js?config=TeX-AMS_HTML,Safe">
  *  </script>
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/config/default.js b/unpacked/config/default.js
index cb92502e65..27080d6cbc 100644
--- a/unpacked/config/default.js
+++ b/unpacked/config/default.js
@@ -12,7 +12,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/config/local/local.js b/unpacked/config/local/local.js
index 8aad924bb4..3cfee3b756 100644
--- a/unpacked/config/local/local.js
+++ b/unpacked/config/local/local.js
@@ -12,7 +12,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/extensions/AssistiveMML.js b/unpacked/extensions/AssistiveMML.js
index 6586c8e586..b9e00cfb25 100644
--- a/unpacked/extensions/AssistiveMML.js
+++ b/unpacked/extensions/AssistiveMML.js
@@ -10,7 +10,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -29,7 +29,7 @@
   var SETTINGS = HUB.config.menuSettings;
   
   var AssistiveMML = MathJax.Extension["AssistiveMML"] = {
-    version: "2.7.6",
+    version: "2.7.9",
     
     config: HUB.CombineConfig("AssistiveMML",{
       disabled: false,
@@ -112,6 +112,8 @@
     //
     HandleMML: function (state) {
       var m = state.jax.length, jax, mml, frame, span;
+      var MML = MathJax.ElementJax.mml;
+      MML.copyAttributes.id = 1;
       while (state.i < m) {
         jax = state.jax[state.i];
         frame = document.getElementById(jax.inputID+"-Frame");
@@ -120,6 +122,7 @@
           try {
             mml = jax.root.toMathML("").replace(/\n */g,"").replace(/<!--.*?-->/g,"");
           } catch (err) {
+            MML.copyAttributes.id = true;
             if (!err.restart) throw err; // an actual error
             return MathJax.Callback.After(["HandleMML",this,state],err.restart);
           }
@@ -137,6 +140,7 @@
         }
         state.i++;
       }
+      MML.copyAttributes.id = true;
       state.callback();
     }
     
diff --git a/unpacked/extensions/CHTML-preview.js b/unpacked/extensions/CHTML-preview.js
index ce9762818e..f5dab08995 100644
--- a/unpacked/extensions/CHTML-preview.js
+++ b/unpacked/extensions/CHTML-preview.js
@@ -9,7 +9,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2014-2019 The MathJax Consortium
+ *  Copyright (c) 2014-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/extensions/FontWarnings.js b/unpacked/extensions/FontWarnings.js
index e0ca2f2842..7a3f8d6bd9 100644
--- a/unpacked/extensions/FontWarnings.js
+++ b/unpacked/extensions/FontWarnings.js
@@ -70,7 +70,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -86,7 +86,7 @@
  */
 
 (function (HUB,HTML) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var STIXURL = "http://www.stixfonts.org/";
   var MATHJAXURL = "https://github.com/mathjax/MathJax/tree/master/fonts/HTML-CSS/TeX/otf";
diff --git a/unpacked/extensions/HTML-CSS/handle-floats.js b/unpacked/extensions/HTML-CSS/handle-floats.js
index edba1edd1c..05d5c2468b 100644
--- a/unpacked/extensions/HTML-CSS/handle-floats.js
+++ b/unpacked/extensions/HTML-CSS/handle-floats.js
@@ -20,7 +20,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2012-2019 The MathJax Consortium
+ *  Copyright (c) 2012-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -37,7 +37,7 @@
 
 
 MathJax.Extension["HTML-CSS/handle-floats"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
 
 //
diff --git a/unpacked/extensions/HelpDialog.js b/unpacked/extensions/HelpDialog.js
index 9757727774..3926c0b594 100644
--- a/unpacked/extensions/HelpDialog.js
+++ b/unpacked/extensions/HelpDialog.js
@@ -6,7 +6,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -24,7 +24,7 @@
 (function (HUB,HTML,AJAX,OUTPUT,LOCALE) {
 
   var HELP = MathJax.Extension.Help = {
-    version: "2.7.6"
+    version: "2.7.9"
   };
 
   var STIXURL = "http://www.stixfonts.org/";
diff --git a/unpacked/extensions/MatchWebFonts.js b/unpacked/extensions/MatchWebFonts.js
index 5aec24f255..45a440e2c4 100644
--- a/unpacked/extensions/MatchWebFonts.js
+++ b/unpacked/extensions/MatchWebFonts.js
@@ -12,7 +12,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -28,7 +28,7 @@
  */
 
 (function (HUB,AJAX) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   var CONFIG = MathJax.Hub.CombineConfig("MatchWebFonts",{
     matchFor: {
diff --git a/unpacked/extensions/MathEvents.js b/unpacked/extensions/MathEvents.js
index 883d9f2e63..5b1a42fd8d 100644
--- a/unpacked/extensions/MathEvents.js
+++ b/unpacked/extensions/MathEvents.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 (function (HUB,HTML,AJAX,CALLBACK,LOCALE,OUTPUT,INPUT) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var EXTENSION = MathJax.Extension;
   var ME = EXTENSION.MathEvents = {version: VERSION};
@@ -120,7 +120,10 @@
       LEFT: 37,
       UP: 38,
       RIGHT: 39,
-      DOWN: 40
+      DOWN: 40,
+      LESS: 188,
+      GREATER: 190,
+      DASH: 189
     },
 
     Mousedown: function (event) {return EVENT.Handler(event,"Mousedown",this)},
diff --git a/unpacked/extensions/MathML/content-mathml.js b/unpacked/extensions/MathML/content-mathml.js
index 6591be516a..b4f08818d8 100644
--- a/unpacked/extensions/MathML/content-mathml.js
+++ b/unpacked/extensions/MathML/content-mathml.js
@@ -28,7 +28,7 @@
  *  The remainder falls under the copyright that follows.
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -78,7 +78,7 @@ MathJax.Extension["MathML/content-mathml"] = (function(HUB) {
   });
 
   var CToP = {
-    version: "2.7.6",
+    version: "2.7.9",
     settings: CONFIG,
 
     /* Transform the given <math> elements from Content MathML to Presentation MathML and replace the original elements
diff --git a/unpacked/extensions/MathML/mml3.js b/unpacked/extensions/MathML/mml3.js
index 5d5047fb3f..baac5ad3d8 100644
--- a/unpacked/extensions/MathML/mml3.js
+++ b/unpacked/extensions/MathML/mml3.js
@@ -25,7 +25,7 @@
  *  The remainder falls under the copyright that follows.
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *  
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -42,7 +42,7 @@
 
 
 MathJax.Extension["MathML/mml3"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
 
 MathJax.Hub.Register.StartupHook("MathML Jax Ready",function () {
diff --git a/unpacked/extensions/MathMenu.js b/unpacked/extensions/MathMenu.js
index 382de9c370..8bde69789d 100644
--- a/unpacked/extensions/MathMenu.js
+++ b/unpacked/extensions/MathMenu.js
@@ -11,7 +11,7 @@
  *
  *  ---------------------------------------------------------------------
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -27,7 +27,7 @@
  */
 
 (function (HUB,HTML,AJAX,CALLBACK,OUTPUT) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var SIGNAL = MathJax.Callback.Signal("menu");  // signal for menu events
 
diff --git a/unpacked/extensions/MathZoom.js b/unpacked/extensions/MathZoom.js
index 4f3d78c138..43950b9721 100644
--- a/unpacked/extensions/MathZoom.js
+++ b/unpacked/extensions/MathZoom.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 (function (HUB,HTML,AJAX,HTMLCSS,nMML) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   var CONFIG = HUB.CombineConfig("MathZoom",{
     styles: {
diff --git a/unpacked/extensions/Safe.js b/unpacked/extensions/Safe.js
index d947db09fe..8ea9f87f94 100644
--- a/unpacked/extensions/Safe.js
+++ b/unpacked/extensions/Safe.js
@@ -11,7 +11,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -27,7 +27,7 @@
  */
 
 (function (HUB,AJAX) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   var CONFIG = MathJax.Hub.CombineConfig("Safe",{
     allow: {
diff --git a/unpacked/extensions/TeX/AMScd.js b/unpacked/extensions/TeX/AMScd.js
index 40d3d704cf..352b42d023 100644
--- a/unpacked/extensions/TeX/AMScd.js
+++ b/unpacked/extensions/TeX/AMScd.js
@@ -9,7 +9,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Extension["TeX/AMScd"] = {
-  version: "2.7.6",
+  version: "2.7.9",
   config: MathJax.Hub.CombineConfig("TeX.CD",{
     colspace: "5pt",
     rowspace: "5pt",
diff --git a/unpacked/extensions/TeX/AMSmath.js b/unpacked/extensions/TeX/AMSmath.js
index a5dda33dae..cb9e090c84 100644
--- a/unpacked/extensions/TeX/AMSmath.js
+++ b/unpacked/extensions/TeX/AMSmath.js
@@ -9,7 +9,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Extension["TeX/AMSmath"] = {
-  version: "2.7.6",
+  version: "2.7.9",
   
   number: 0,        // current equation number
   startNumber: 0,   // current starting equation number (for when equation is restarted)
@@ -223,14 +223,14 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
       var cs = this.trimSpaces(this.GetArgument(name));
       if (cs.charAt(0) == "\\") {cs = cs.substr(1)}
       var op = this.GetArgument(name);
-      op = op.replace(/\*/g,'\\text{*}').replace(/-/g,'\\text{-}');
+      if (!op.match(/\\text/)) op = op.replace(/\*/g,'\\text{*}').replace(/-/g,'\\text{-}');
       this.setDef(cs, ['Macro', '\\mathop{\\rm '+op+'}'+limits]);
     },
     
     HandleOperatorName: function (name) {
       var limits = (this.GetStar() ? "" : "\\nolimits\\SkipLimits");
       var op = this.trimSpaces(this.GetArgument(name));
-      op = op.replace(/\*/g,'\\text{*}').replace(/-/g,'\\text{-}');
+      if (!op.match(/\\text/)) op = op.replace(/\*/g,'\\text{*}').replace(/-/g,'\\text{-}');
       this.string = '\\mathop{\\rm '+op+'}'+limits+" "+this.string.slice(this.i);
       this.i = 0;
     },
@@ -486,7 +486,8 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
       for (var i = 0, m = data.length; i < m; i++) {
         if (data[i] && (data[i].type !== "mspace" &&
            (data[i].type !== "texatom" || (data[i].data[0] && data[i].data[0].data.length)))) {
-          if (data[i].isEmbellished()) data.unshift(MML.mi());
+          if (data[i].isEmbellished() ||
+             (data[i].type === "texatom" && data[i].texClass === MML.TEXCLASS.REL)) data.unshift(MML.mi());
           break;
         }
       }
@@ -550,7 +551,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
       this.numbered = (numbered && CONFIG.autoNumber !== "none");
       this.save = {notags: stack.global.notags, notag: stack.global.notag};
       stack.global.notags = (taggable ? null : name);
-      stack.global.tagged = !numbered && !stack.global.forcetag; // prevent automatic tagging in starred environments
+      stack.global.tagged = !numbered && taggable && !stack.global.forcetag; // prevent automatic tagging in starred environments
     },
     EndEntry: function () {
       if (this.row.length % 2 === 1) {this.fixInitialMO(this.data)}
@@ -560,10 +561,14 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
     EndRow: function () {
       var mtr = MML.mtr;
       if (!this.global.tag && this.numbered) {this.autoTag()}
-      if (this.global.tag && !this.global.notags) {
-        this.row = [this.getTag()].concat(this.row);
-        mtr = MML.mlabeledtr;
-      } else {this.clearTag()}
+      if (!this.global.notags) {
+        if (this.global.tag) {
+          this.row = [this.getTag()].concat(this.row);
+          mtr = MML.mlabeledtr;
+        } else {
+          this.clearTag();
+        }
+      }
       if (this.numbered) {delete this.global.notag}
       this.table.push(mtr.apply(MML,this.row)); this.row = [];
     },
diff --git a/unpacked/extensions/TeX/AMSsymbols.js b/unpacked/extensions/TeX/AMSsymbols.js
index 6ea571e3b3..71c05834f1 100644
--- a/unpacked/extensions/TeX/AMSsymbols.js
+++ b/unpacked/extensions/TeX/AMSsymbols.js
@@ -9,7 +9,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Extension["TeX/AMSsymbols"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
 
 MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
diff --git a/unpacked/extensions/TeX/HTML.js b/unpacked/extensions/TeX/HTML.js
index a618debe82..bbb40ff166 100644
--- a/unpacked/extensions/TeX/HTML.js
+++ b/unpacked/extensions/TeX/HTML.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Extension["TeX/HTML"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
 
 MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
diff --git a/unpacked/extensions/TeX/action.js b/unpacked/extensions/TeX/action.js
index 310ade5213..1909af4900 100644
--- a/unpacked/extensions/TeX/action.js
+++ b/unpacked/extensions/TeX/action.js
@@ -19,7 +19,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -35,7 +35,7 @@
  */
 
 MathJax.Extension["TeX/action"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
   
 MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
diff --git a/unpacked/extensions/TeX/autobold.js b/unpacked/extensions/TeX/autobold.js
index a2ba9c6060..eed40c8ae9 100644
--- a/unpacked/extensions/TeX/autobold.js
+++ b/unpacked/extensions/TeX/autobold.js
@@ -10,7 +10,7 @@
  *  
  *  ---------------------------------------------------------------------
  * 
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 MathJax.Extension["TeX/autobold"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
 
 MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
diff --git a/unpacked/extensions/TeX/autoload-all.js b/unpacked/extensions/TeX/autoload-all.js
index ffbc666352..71d96dd949 100644
--- a/unpacked/extensions/TeX/autoload-all.js
+++ b/unpacked/extensions/TeX/autoload-all.js
@@ -10,7 +10,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 MathJax.Extension["TeX/autoload-all"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
   
 MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
diff --git a/unpacked/extensions/TeX/bbox.js b/unpacked/extensions/TeX/bbox.js
index 5929cfbe49..e228a60d2a 100644
--- a/unpacked/extensions/TeX/bbox.js
+++ b/unpacked/extensions/TeX/bbox.js
@@ -30,7 +30,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -46,7 +46,7 @@
  */
 
 MathJax.Extension["TeX/bbox"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
 
 MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
diff --git a/unpacked/extensions/TeX/begingroup.js b/unpacked/extensions/TeX/begingroup.js
index bb922e1793..9b7736df61 100644
--- a/unpacked/extensions/TeX/begingroup.js
+++ b/unpacked/extensions/TeX/begingroup.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 MathJax.Extension["TeX/begingroup"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
 
 MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
diff --git a/unpacked/extensions/TeX/boldsymbol.js b/unpacked/extensions/TeX/boldsymbol.js
index de0d00b389..527897580c 100644
--- a/unpacked/extensions/TeX/boldsymbol.js
+++ b/unpacked/extensions/TeX/boldsymbol.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 MathJax.Extension["TeX/boldsymbol"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
 
 MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
diff --git a/unpacked/extensions/TeX/cancel.js b/unpacked/extensions/TeX/cancel.js
index 2776d4ca95..2a5eae5ffb 100644
--- a/unpacked/extensions/TeX/cancel.js
+++ b/unpacked/extensions/TeX/cancel.js
@@ -16,7 +16,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -32,7 +32,7 @@
  */
 
 MathJax.Extension["TeX/cancel"] = {
-  version: "2.7.6",
+  version: "2.7.9",
 
   //
   //  The attributes allowed in \enclose{notation}[attributes]{math}
diff --git a/unpacked/extensions/TeX/color.js b/unpacked/extensions/TeX/color.js
index ec6fd3d159..291333f7d2 100644
--- a/unpacked/extensions/TeX/color.js
+++ b/unpacked/extensions/TeX/color.js
@@ -12,7 +12,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -31,7 +31,7 @@
 //  The configuration defaults, augmented by the user settings
 //  
 MathJax.Extension["TeX/color"] = {
-  version: "2.7.6",
+  version: "2.7.9",
 
   config: MathJax.Hub.CombineConfig("TeX.color",{
     padding: "5px",
diff --git a/unpacked/extensions/TeX/enclose.js b/unpacked/extensions/TeX/enclose.js
index 6a01cfc9ba..5f39fe6c74 100644
--- a/unpacked/extensions/TeX/enclose.js
+++ b/unpacked/extensions/TeX/enclose.js
@@ -16,7 +16,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -32,7 +32,7 @@
  */
 
 MathJax.Extension["TeX/enclose"] = {
-  version: "2.7.6",
+  version: "2.7.9",
   
   //
   //  The attributes allowed in \enclose{notation}[attributes]{math}
diff --git a/unpacked/extensions/TeX/extpfeil.js b/unpacked/extensions/TeX/extpfeil.js
index 302628acae..0b211d7b81 100644
--- a/unpacked/extensions/TeX/extpfeil.js
+++ b/unpacked/extensions/TeX/extpfeil.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Extension["TeX/extpfeil"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
 
 MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
diff --git a/unpacked/extensions/TeX/mathchoice.js b/unpacked/extensions/TeX/mathchoice.js
index 6966e613ac..f2b95fc72d 100644
--- a/unpacked/extensions/TeX/mathchoice.js
+++ b/unpacked/extensions/TeX/mathchoice.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var MML = MathJax.ElementJax.mml;
   var TEX = MathJax.InputJax.TeX;
diff --git a/unpacked/extensions/TeX/mediawiki-texvc.js b/unpacked/extensions/TeX/mediawiki-texvc.js
index cb666731b7..8b45dc0192 100644
--- a/unpacked/extensions/TeX/mediawiki-texvc.js
+++ b/unpacked/extensions/TeX/mediawiki-texvc.js
@@ -6,7 +6,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,7 +22,7 @@
  */
 
 MathJax.Extension["TeX/mediawiki-texvc"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
 
 MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () {
@@ -85,7 +85,6 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () {
       natnums: ["Macro", "\\mathbb{N}"],
       Nu: ["Macro", "\\mathrm{N}"],
       O: ["Macro", "\\emptyset"],
-      oint: ["Macro", "\\unicodeInt{x222E}"],
       oiint: ["Macro", "\\unicodeInt{x222F}"],
       oiiint: ["Macro", "\\unicodeInt{x2230}"],
       ointctrclockwise: ["Macro", "\\unicodeInt{x2233}"],
diff --git a/unpacked/extensions/TeX/mhchem.js b/unpacked/extensions/TeX/mhchem.js
index 988231d22b..9adacf1d33 100644
--- a/unpacked/extensions/TeX/mhchem.js
+++ b/unpacked/extensions/TeX/mhchem.js
@@ -10,7 +10,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -34,7 +34,7 @@ if (MathJax.Extension["TeX/mhchem"]) {
 } else {
   
 MathJax.Extension["TeX/mhchem"] = {
-  version: "2.7.6",
+  version: "2.7.9",
   config: MathJax.Hub.CombineConfig("TeX.mhchem",{
     legacy: true
   })
diff --git a/unpacked/extensions/TeX/mhchem3/mhchem.js b/unpacked/extensions/TeX/mhchem3/mhchem.js
index 6b304e784b..42793ec762 100644
--- a/unpacked/extensions/TeX/mhchem3/mhchem.js
+++ b/unpacked/extensions/TeX/mhchem3/mhchem.js
@@ -11,7 +11,7 @@
  *  ---------------------------------------------------------------------
  *
  *  Copyright (c) 2011-2015 The MathJax Consortium
- *  Copyright (c) 2015-2018 Martin Hensel
+ *  Copyright (c) 2015-2019 Martin Hensel
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -33,7 +33,7 @@
 
 
 MathJax.Extension["TeX/mhchem"] = {
-  version: "3.3.0"
+  version: "3.3.2"
 };
 
 MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () {
@@ -197,7 +197,7 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () {
     },
     concatArray: function (a, b) {
       if (b) {
-        if (Array.isArray(b)) {
+        if (Object.prototype.toString.call(b) === "[object Array]") {  // Array.isArray(b)
           for (var iB=0; iB<b.length; iB++) {
             a.push(b[iB]);
           }
@@ -233,16 +233,16 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () {
         '-9.,9': /^[+\-]?(?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))/,
         '-9.,9 no missing 0': /^[+\-]?[0-9]+(?:[.,][0-9]+)?/,
         '(-)(9.,9)(e)(99)': function (input) {
-          var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))?(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))\))?(?:([eE]|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/);
+          var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))?(\((?:[0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+))\))?(?:(?:([eE])|\s*(\*|x|\\times|\u00D7)\s*10\^)([+\-]?[0-9]+|\{[+\-]?[0-9]+\}))?/);
           if (m && m[0]) {
-            return { match_: m.splice(1), remainder: input.substr(m[0].length) };
+            return { match_: m.slice(1), remainder: input.substr(m[0].length) };
           }
           return null;
         },
         '(-)(9)^(-9)': function (input) {
           var m = input.match(/^(\+\-|\+\/\-|\+|\-|\\pm\s?)?([0-9]+(?:[,.][0-9]+)?|[0-9]*(?:\.[0-9]+)?)\^([+\-]?[0-9]+|\{[+\-]?[0-9]+\})/);
           if (m && m[0]) {
-            return { match_: m.splice(1), remainder: input.substr(m[0].length) };
+            return { match_: m.slice(1), remainder: input.substr(m[0].length) };
           }
           return null;
         },
@@ -1179,26 +1179,24 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () {
           } else if (m[0]) {
             ret.push(m[0]);
           }
-          if (m[1]) {
+          if (m[1]) {  // 1.2
             mhchemParser.concatArray(ret, mhchemParser.go(m[1], 'pu-9,9'));
             if (m[2]) {
-              if (m[2].match(/[,.]/)) {
+              if (m[2].match(/[,.]/)) {  // 1.23456(0.01111)
                 mhchemParser.concatArray(ret, mhchemParser.go(m[2], 'pu-9,9'));
-              } else {
+              } else {  // 1.23456(1111)  - without spacings
                 ret.push(m[2]);
               }
             }
-            m[3] = m[4] || m[3];
-            if (m[3]) {
-              m[3] = m[3].trim();
-              if (m[3] === "e"  ||  m[3].substr(0, 1) === "*") {
+            if (m[3] || m[4]) {  // 1.2e7  1.2x10^7
+              if (m[3] === "e"  ||  m[4] === "*") {
                 ret.push({ type_: 'cdot' });
               } else {
                 ret.push({ type_: 'times' });
               }
             }
           }
-          if (m[3]) {
+          if (m[5]) {  // 10^7
             ret.push("10^{"+m[5]+"}");
           }
           return ret;
@@ -1511,7 +1509,13 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () {
               // arrows that cannot stretch correctly yet, https://github.com/mathjax/MathJax/issues/1491
               arrow = "\\long"+arrow;
               if (b6.rd) { arrow = "\\overset{"+b6.rd+"}{"+arrow+"}"; }
-              if (b6.rq) { arrow = "\\underset{\\lower7mu{"+b6.rq+"}}{"+arrow+"}"; }
+              if (b6.rq) {
+                if (buf.r === "<-->") {
+                  arrow = "\\underset{\\lower2mu{"+b6.rq+"}}{"+arrow+"}";
+                } else {
+                  arrow = "\\underset{\\lower6mu{"+b6.rq+"}}{"+arrow+"}";  // align with ->[][under]
+                }
+              }
               arrow = " {}\\mathrel{"+arrow+"}{} ";
             } else {
               if (b6.rq) { arrow += "[{"+b6.rq+"}]"; }
@@ -1705,14 +1709,14 @@ MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () {
       longrightleftharpoons: ["Macro", "\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],
       longRightleftharpoons: ["Macro", "\\stackrel{\\textstyle{-}\\!\\!{\\rightharpoonup}}{\\smash{\\leftharpoondown}}"],
       longLeftrightharpoons: ["Macro", "\\stackrel{\\textstyle\\vphantom{{-}}{\\rightharpoonup}}{\\smash{{\\leftharpoondown}\\!\\!{-}}}"],
-      longleftrightarrows:   ["Macro", "\\stackrel{\\longrightarrow}{\\smash{\\longleftarrow}\\Rule{0px}{.25em}{0px}}"],
+      longleftrightarrows:   ["Macro", "\\raise-3mu{\\stackrel{\\longrightarrow}{\\raise2mu{\\smash{\\longleftarrow}}}}"],
 
       //
       //  Needed for \bond for the ~ forms
       //  Not perfectly aligned when zoomed in, but on 100%
       //
       tripledash: ["Macro", "\\vphantom{-}\\raise2mu{\\kern2mu\\tiny\\text{-}\\kern1mu\\text{-}\\kern1mu\\text{-}\\kern2mu}"]
-    },
+    }
   }, null, true);
 
   if (!MathJax.Extension["TeX/AMSmath"]) {
diff --git a/unpacked/extensions/TeX/newcommand.js b/unpacked/extensions/TeX/newcommand.js
index c1c830a609..37a862e07a 100644
--- a/unpacked/extensions/TeX/newcommand.js
+++ b/unpacked/extensions/TeX/newcommand.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 MathJax.Extension["TeX/newcommand"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
 
 MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
diff --git a/unpacked/extensions/TeX/noErrors.js b/unpacked/extensions/TeX/noErrors.js
index 4d640601c4..a54216b4df 100644
--- a/unpacked/extensions/TeX/noErrors.js
+++ b/unpacked/extensions/TeX/noErrors.js
@@ -55,7 +55,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -71,7 +71,7 @@
  */
 
 (function (HUB,HTML) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   var CONFIG = HUB.CombineConfig("TeX.noErrors",{
     disabled: false,               // set to true to return to original error messages
diff --git a/unpacked/extensions/TeX/noUndefined.js b/unpacked/extensions/TeX/noUndefined.js
index 6a0bdd0e41..fdc20a5dba 100644
--- a/unpacked/extensions/TeX/noUndefined.js
+++ b/unpacked/extensions/TeX/noUndefined.js
@@ -25,7 +25,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -44,7 +44,7 @@
 //  The configuration defaults, augmented by the user settings
 //
 MathJax.Extension["TeX/noUndefined"] = {
-  version: "2.7.6",
+  version: "2.7.9",
   config: MathJax.Hub.CombineConfig("TeX.noUndefined",{
     disabled: false,      // set to true to return to original error messages
     attributes: {
diff --git a/unpacked/extensions/TeX/text-macros.js b/unpacked/extensions/TeX/text-macros.js
new file mode 100644
index 0000000000..186cc41c4f
--- /dev/null
+++ b/unpacked/extensions/TeX/text-macros.js
@@ -0,0 +1,487 @@
+/*************************************************************
+ *
+ *  MathJax/extensions/TeX/text-macros.js
+ *  
+ *  Implements the processing of some text-mode macros inside
+ *  \text{} and other text boxes.
+ *
+ *  ---------------------------------------------------------------------
+ *  
+ *  Copyright (c) 2018-2020 The MathJax Consortium
+ * 
+ *  Licensed under the Apache License, Version 2.0 (the "License");
+ *  you may not use this file except in compliance with the License.
+ *  You may obtain a copy of the License at
+ * 
+ *      http://www.apache.org/licenses/LICENSE-2.0
+ * 
+ *  Unless required by applicable law or agreed to in writing, software
+ *  distributed under the License is distributed on an "AS IS" BASIS,
+ *  WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ *  See the License for the specific language governing permissions and
+ *  limitations under the License.
+ */
+
+MathJax.Extension["TeX/text-macros"] = {
+  version: "2.7.9"
+};
+
+MathJax.Hub.Register.StartupHook("TeX Jax Ready", function () {
+  var MML = MathJax.ElementJax.mml;
+  var TEX = MathJax.InputJax.TeX;
+  var TEXDEF = TEX.Definitions;
+
+  TEX.Parse.Augment({
+    //
+    // Replace InternalMath with parser that handles some text macros
+    //
+    InternalMath: function(text,level) {
+      var mml = TextParser(text, {}).Parse();
+      if (level != null) {
+        mml = [MML.mstyle.apply(MML,mml).With({displaystyle:false, scriptlevel:level})];
+      } else if (mml.length > 1) {
+        mml = [MML.mrow.apply(MML,mml)];
+      }
+      return mml;
+    },
+
+    //
+    //  Correctly skip newline as well as comment
+    //
+    Comment: function (c) {
+      while (this.i < this.string.length && this.string.charAt(this.i) != "\n") {this.i++}
+      this.i++;
+    },
+
+    //
+    // Correctly skip trailing space as well
+    //
+    GetCS: function () {
+      var CS = this.string.slice(this.i).match(/^([a-z]+|.) ?/i);
+      if (CS) {this.i += CS[0].length; return CS[1]} else {this.i++; return " "}
+    }
+
+  });
+
+  //
+  //  The text parser is a subclass of the math parser, so we can use
+  //  some of the existing methods (like GetArgument()), and some of the
+  //  control sequence implementations (like Macro, Spacer, etc.)
+  //
+  var TextParser = TEX.TextParser = TEX.Parse.Subclass({
+
+    Init: function (text, env) {
+      this.env = MathJax.Hub.Insert({},env);
+      this.stack = {env: this.env};
+      this.string = text;
+      this.i = 0;
+      this.mml = [];  // the accumulated MathML elements
+      this.text = ''; // the accumulated text so far
+    },
+
+    //
+    //  These are the special characters in text mode
+    //
+    textSpecial: {
+      '\\': 'ControlSequence',
+      '$': 'Math',
+      '%': 'Comment',
+      '^': 'MathModeOnly',
+      '_': 'MathModeOnly',
+      '&': 'Misplaced',
+      '#': 'Misplaced',
+      '~': 'Tilde',
+      ' ': 'Space',
+      '\t': 'Space',
+      '\r': 'Space',
+      '\n': 'Space',
+      '\u00A0': 'Tilde',
+      '{': 'OpenBrace',
+      '}': 'CloseBrace',
+      '`': 'OpenQuote',
+      "'": 'CloseQuote'
+    },
+
+    //
+    //  These are text-mode macros we support
+    //
+    textMacros: {
+      '(': 'Math',
+
+      '$': 'SelfQuote',
+      '_': 'SelfQuote',
+      '%': 'SelfQuote',
+      '{': 'SelfQuote',
+      '}': 'SelfQuote',
+      ' ': 'SelfQuote',
+      '&': 'SelfQuote',
+      '#': 'SelfQuote',
+      '\\': 'SelfQuote',
+
+      "'": ['Accent', '\u00B4'],
+      '`': ['Accent', '\u0060'],
+      '^': ['Accent', '^'],
+      '"': ['Accent', '\u00A8'],
+      '~': ['Accent', '~'],
+      '=': ['Accent', '\u00AF'],
+      '.': ['Accent', '\u02D9'],
+      'u': ['Accent', '\u02D8'],
+      'v': ['Accent', '\u02C7'],
+
+      emph:      'Emph',
+      rm:       ['SetFont',MML.VARIANT.NORMAL],
+      mit:      ['SetFont',MML.VARIANT.ITALIC],
+      oldstyle: ['SetFont',MML.VARIANT.OLDSTYLE],
+      cal:      ['SetFont',MML.VARIANT.CALIGRAPHIC],
+      it:       ['SetFont','-tex-mathit'], // needs special handling
+      bf:       ['SetFont',MML.VARIANT.BOLD],
+      bbFont:   ['SetFont',MML.VARIANT.DOUBLESTRUCK],
+      scr:      ['SetFont',MML.VARIANT.SCRIPT],
+      frak:     ['SetFont',MML.VARIANT.FRAKTUR],
+      sf:       ['SetFont',MML.VARIANT.SANSSERIF],
+      tt:       ['SetFont',MML.VARIANT.MONOSPACE],
+
+      tiny:        ['SetSize',0.5],
+      Tiny:        ['SetSize',0.6],  // non-standard
+      scriptsize:  ['SetSize',0.7],
+      small:       ['SetSize',0.85],
+      normalsize:  ['SetSize',1.0],
+      large:       ['SetSize',1.2],
+      Large:       ['SetSize',1.44],
+      LARGE:       ['SetSize',1.73],
+      huge:        ['SetSize',2.07],
+      Huge:        ['SetSize',2.49],
+
+      mathcal:  'MathModeOnly',
+      mathscr:  'MathModeOnly',
+      mathrm:   'MathModeOnly',
+      mathbf:   'MathModeOnly',
+      mathbb:   'MathModeOnly',
+      mathit:   'MathModeOnly',
+      mathfrak: 'MathModeOnly',
+      mathsf:   'MathModeOnly',
+      mathtt:   'MathModeOnly',
+      Bbb:     ['Macro','{\\bbFont #1}',1],
+      textrm:  ['Macro','{\\rm #1}',1],
+      textit:  ['Macro','{\\it #1}',1],
+      textbf:  ['Macro','{\\bf #1}',1],
+      textsf:  ['Macro','{\\sf #1}',1],
+      texttt:  ['Macro','{\\tt #1}',1],
+
+      dagger:   ['Insert', '\u2020'],
+      ddagger:  ['Insert', '\u2021'],
+      S:        ['Insert', '\u00A7']
+    },
+
+    //
+    //  These are the original macros that are allowed in text mode
+    //
+    useMathMacros: {
+      ',':          true,
+      ':':          true,
+      '>':          true,
+      ';':          true,
+      '!':          true,
+      enspace:      true,
+      quad:         true,
+      qquad:        true,
+      thinspace:    true,
+      negthinspace: true,
+    
+      hskip:        true,
+      hspace:       true,
+      kern:         true,
+      mskip:        true,
+      mspace:       true,
+      mkern:        true,
+      rule:         true,
+      Rule:         true,
+      Space:        true,
+
+      color:        true,
+      href:         true,
+      unicode:      true,
+
+      ref:          true,
+      eqref:        true
+    },
+
+    //
+    //  Look through the text for special characters and process them.
+    //  Save any accumulated text aat the end and return the MathML
+    //   elements produced.
+    //
+    Parse: function () {
+      var c;
+      while ((c = this.string.charAt(this.i++))) {
+        if (this.textSpecial.hasOwnProperty(c)) {
+          this[this.textSpecial[c]](c);
+        } else {
+          this.text += c;
+        }
+      }
+      this.SaveText();
+      return this.mml;
+    },
+
+    //
+    //  Handle a control sequence name
+    //    If it is a text-mode macro, use it.
+    //    Otherwise look for it in the math-mode lists
+    //      Report an error if it is not there
+    //      Otherwise check if it is a macro or one of the allowed control sequences
+    //    Run the macro (with arguments if given)
+    //
+    ControlSequence: function (c) {
+      var cs = this.GetCS(), name = c + cs, cmd;
+      if (this.textMacros.hasOwnProperty(cs)) {
+        cmd = this.textMacros[cs];
+      } else {
+        cmd = this.LookupCS(cs);
+        if (!cmd) {
+          this.Error(["UndefinedControlSequence","Undefined control sequence %1",name]);
+        }
+        if ((!(cmd instanceof Array) || cmd[0] !== 'Macro') &&
+             !this.useMathMacros.hasOwnProperty(cs)) {
+          this.Error(["MathMacro","'%1' is only supported in math mode",name]);
+        }
+      }
+      if (cmd instanceof Array) {
+        if (!this.hasOwnProperty[cmd[0]]) this.SaveText();
+        this[cmd[0]].apply(this,[name].concat(cmd.slice(1)));
+      } else {
+        if (!this.hasOwnProperty[cmd]) this.SaveText();
+        this[cmd].call(this,name);
+      }
+    },
+
+    //
+    //  Lookup the CS as a math-mode macro
+    //
+    LookupCS: function(cs) {
+      if (TEXDEF.macros.hasOwnProperty(cs)) return TEXDEF.macros[cs];
+      if (TEXDEF.mathchar0mi.hasOwnProperty(cs)) return TEXDEF.mathchar0mi[cs];
+      if (TEXDEF.mathchar0mo.hasOwnProperty(cs)) return TEXDEF.mathchar0mo[cs];
+      if (TEXDEF.mathchar7.hasOwnProperty(cs)) return TEXDEF.mathchar7[cs];
+      if (TEXDEF.delimiter.hasOwnProperty('\\'+cs)) return TEXDEF.delimiter['\\'+cs];
+      return null;
+    },
+
+    //
+    //  Handle internal math mode
+    //    Look for the close delimiter and process the contents
+    //
+    Math: function (open) {
+      this.SaveText();
+      var i = this.i, j;
+      var braces = 0, c;
+      while ((c = this.GetNext())) {
+        j = this.i++;
+        switch(c) {
+          case '\\':
+            var cs = this.GetCS();
+            if (cs === ')') c = '\\(';
+          case '$':
+            if (braces === 0 && open === c) {
+              this.Push(TEX.Parse(this.string.substr(i, j-i),this.env).mml());
+              return;
+            }
+            break;
+
+          case '{':
+            braces++;
+            break;
+
+          case '}':
+            if (braces == 0) {
+              this.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"]);
+            }
+            braces--;
+            break;
+        }
+      }
+      this.Error(["MathNotTerminated","Math not terminated in text box"]);
+    },
+
+    //
+    //  Character can only be used in math mode
+    //
+    MathModeOnly: function (c) {
+      this.Error(["MathModeOnly","'%1' allowed only in math mode",c]);
+    },
+
+    //
+    //  Character is being used out of place
+    //
+    Misplaced: function (c) {
+      this.Error(["Misplaced","'%1' can not be used here",c]);
+    },
+
+    //
+    //  Braces start new environments
+    //
+    OpenBrace: function (c) {
+      var env = this.env;
+      this.env = MathJax.Hub.Insert({}, env);
+      this.env.oldEnv = env;
+    },
+    CloseBrace: function (c) {
+      if (this.env.oldEnv) {
+        this.SaveText();
+        this.env = this.env.oldEnv;
+      } else {
+        this.Error(["ExtraCloseMissingOpen","Extra close brace or missing open brace"]);
+      }
+    },
+
+    //
+    //  Handle open and close quotes
+    //
+    OpenQuote: function (c) {
+      if (this.string.charAt(this.i) === c) {
+        this.text += "\u201C";
+        this.i++;
+      } else {
+        this.text += "\u2018"
+      }
+    },
+    CloseQuote: function (c) {
+      if (this.string.charAt(this.i) === c) {
+        this.text += "\u201D";
+        this.i++;
+      } else {
+        this.text += "\u2019"
+      }
+    },
+
+    //
+    //  Handle non-breaking and regular spaces
+    //
+    Tilde: function (c) {
+      this.text += '\u00A0';
+    },
+    Space: function (c) {
+      this.text += ' ';
+      while (this.GetNext().match(/\s/)) this.i++;
+    },
+
+    //
+    //  Insert the escaped characer
+    //
+    SelfQuote: function (name) {
+      this.text += name.substr(1);
+    },
+
+    //
+    //  Insert a given character
+    //
+    Insert: function (name, c) {
+      this.text += c;
+    },
+
+    //
+    //  Create an accented character using mover
+    //
+    Accent: function (name, c) {
+      this.SaveText();
+      var base = this.ParseArg(name);
+      var accent = MML.mo(MML.chars(c));
+      if (this.env.mathvariant) accent.mathvariant = this.env.mathvariant;
+      this.Push(MML.mover(base,accent));
+    },
+
+    //
+    //  Switch to/from italics
+    //
+    Emph: function (name) {
+      this.UseFont(name, this.env.mathvariant === '-tex-mathit' ? 'normal' : '-tex-mathit');
+    },
+
+    //
+    //  Use a given font on its argument
+    //
+    UseFont: function (name, variant) {
+      this.SaveText();
+      this.Push(this.ParseTextArg(name,{mathvariant: variant}));
+    },
+
+    //
+    //  Set a font for the rest of the text
+    //
+    SetFont: function (name, variant) {
+      this.SaveText();
+      this.env.mathvariant = variant;
+    },
+
+    //
+    //  Set the size to use
+    //
+    SetSize: function (name, size) {
+      this.SaveText();
+      this.env.mathsize = size;
+    },
+
+    //
+    //  Process the argument as text with the given environment settings
+    //
+    ParseTextArg: function (name, env) {
+      var text = this.GetArgument(name);
+      env = MathJax.Hub.Insert(MathJax.Hub.Insert({}, this.env), env);
+      delete env.oldEnv;
+      return TextParser(text, env).Parse();
+    },
+
+    //
+    //  Process an argument as text (overrides the math-mode version)
+    //
+    ParseArg: function (name) {
+      var mml = TextParser(this.GetArgument(name), this.env).Parse();
+      if (mml.length === 0) return mml[0];
+      return MML.mrow.apply(MML.mrow, mml);
+    },
+
+    //
+    //  Create an mtext element with the accumulated text, if any
+    //    and set it variant
+    //
+    SaveText: function () {
+      if (this.text) {
+        var text = MML.mtext(MML.chars(this.text));
+        if (this.env.mathvariant) text.mathvariant = this.env.mathvariant;
+        this.Push(text);
+      }
+      this.text = "";
+    },
+
+    //
+    //  Save a MathML element or array, setting its size and color, if any
+    //
+    Push: function (mml) {
+      if (mml instanceof Array) {
+        if (this.env.mathsize || this.env.mathcolor) {
+          mml = MML.mstyle.apply(MML,mml);
+          if (this.env.mathsize) mml.mathsize = this.env.mathsize;
+          if (this.env.mathcolor) mml.mathcolor = this.env.mathcolor;
+        }
+        this.mml.push.apply(this.mml,mml);
+      } else {
+        if (this.env.mathsize && !mml.mathsize) mml.mathsize = this.env.mathsize;
+        if (this.env.mathcolor && !mml.mathcolor) mml.mathcolor = this.env.mathcolor;
+        this.mml.push(mml);
+      }
+    },
+
+    //
+    //  Throw an error
+    //
+    Error: function (message) {
+      TEX.Error(message);
+    }
+
+  });
+  
+  MathJax.Hub.Startup.signal.Post('TeX text-macros Ready');
+
+});
+
+MathJax.Ajax.loadComplete('[MathJax]/extensions/TeX/text-macros.js');
diff --git a/unpacked/extensions/TeX/unicode.js b/unpacked/extensions/TeX/unicode.js
index 1816659ae9..d5a0590786 100644
--- a/unpacked/extensions/TeX/unicode.js
+++ b/unpacked/extensions/TeX/unicode.js
@@ -43,7 +43,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -62,7 +62,7 @@
 //  The configuration defaults, augmented by the user settings
 //  
 MathJax.Extension["TeX/unicode"] = {
-  version: "2.7.6",
+  version: "2.7.9",
   unicode: {},
   config: MathJax.Hub.CombineConfig("TeX.unicode",{
     fonts: "STIXGeneral,'Arial Unicode MS'"
diff --git a/unpacked/extensions/TeX/verb.js b/unpacked/extensions/TeX/verb.js
index 4ea71fea21..8b67d071c1 100644
--- a/unpacked/extensions/TeX/verb.js
+++ b/unpacked/extensions/TeX/verb.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 MathJax.Extension["TeX/verb"] = {
-  version: "2.7.6"
+  version: "2.7.9"
 };
 
 MathJax.Hub.Register.StartupHook("TeX Jax Ready",function () {
diff --git a/unpacked/extensions/a11y/accessibility-menu.js b/unpacked/extensions/a11y/accessibility-menu.js
index 2d241f9774..27a9fca4dd 100644
--- a/unpacked/extensions/a11y/accessibility-menu.js
+++ b/unpacked/extensions/a11y/accessibility-menu.js
@@ -1 +1,89 @@
-!function(a,b){var c,d,e=a.config.menuSettings,f=Function.prototype.bind?function(a,b){return a.bind(b)}:function(a,b){return function(){a.apply(b,arguments)}},g=Object.keys||function(a){var b=[];for(var c in a)a.hasOwnProperty(c)&&b.push(c);return b},h=MathJax.Ajax.config.path;h.a11y||(h.a11y=a.config.root+"/extensions/a11y");var i=b["accessibility-menu"]={version:"1.5.0",prefix:"",defaults:{},modules:[],MakeOption:function(a){return i.prefix+a},GetOption:function(a){return e[i.MakeOption(a)]},AddDefaults:function(){for(var a,b=g(i.defaults),c=0;a=b[c];c++){var d=i.MakeOption(a);void 0===e[d]&&(e[d]=i.defaults[a])}},AddMenu:function(){for(var a,b=Array(this.modules.length),e=0;a=this.modules[e];e++)b[e]=a.placeHolder;var f=d.FindId("Accessibility");if(f)b.unshift(c.RULE()),f.submenu.items.push.apply(f.submenu.items,b);else{var g=(d.FindId("Settings","Renderer")||{}).submenu;g&&(b.unshift(c.RULE()),b.unshift(g.items.pop()),b.unshift(g.items.pop())),b.unshift("Accessibility");var f=c.SUBMENU.apply(c.SUBMENU,b),h=d.IndexOfId("Locale");h?d.items.splice(h,0,f):d.items.push(c.RULE(),f)}},Register:function(a){i.defaults[a.option]=!1,i.modules.push(a)},Startup:function(){c=MathJax.Menu.ITEM,d=MathJax.Menu.menu;for(var a,b=0;a=this.modules[b];b++)a.CreateMenu();this.AddMenu()},LoadExtensions:function(){for(var b,c=[],d=0;b=this.modules[d];d++)e[b.option]&&c.push(b.module);return c.length?a.Startup.loadArray(c):null}},j=MathJax.Extension.ModuleLoader=MathJax.Object.Subclass({option:"",name:["",""],module:"",placeHolder:null,submenu:!1,extension:null,Init:function(a,b,c,d,e){this.option=a,this.name=[b.replace(/ /g,""),b],this.module=c,this.extension=d,this.submenu=e||!1},CreateMenu:function(){var a=f(this.Load,this);this.submenu?this.placeHolder=c.SUBMENU(this.name,c.CHECKBOX(["Activate","Activate"],i.MakeOption(this.option),{action:a}),c.RULE(),c.COMMAND(["OptionsWhenActive","(Options when Active)"],null,{disabled:!0})):this.placeHolder=c.CHECKBOX(this.name,i.MakeOption(this.option),{action:a})},Load:function(){a.Queue(["Require",MathJax.Ajax,this.module,["Enable",this]])},Enable:function(a){var b=MathJax.Extension[this.extension];b&&(b.Enable(!0,!0),MathJax.Menu.saveCookie())}});i.Register(j("collapsible","Collapsible Math","[a11y]/collapsible.js","collapsible")),i.Register(j("autocollapse","Auto Collapse","[a11y]/auto-collapse.js","auto-collapse")),i.Register(j("explorer","Explorer","[a11y]/explorer.js","explorer",!0)),i.AddDefaults(),a.Register.StartupHook("End Extensions",function(){a.Register.StartupHook("MathMenu Ready",function(){i.Startup(),a.Startup.signal.Post("Accessibility Menu Ready")},5)},5),MathJax.Hub.Register.StartupHook("End Cookie",function(){MathJax.Callback.Queue(["LoadExtensions",i],["loadComplete",MathJax.Ajax,"[a11y]/accessibility-menu.js"])})}(MathJax.Hub,MathJax.Extension);
\ No newline at end of file
+!function(i, e) {
+    var s, u, a = i.config.menuSettings, t = Function.prototype.bind ? function(e, t) {
+        return e.bind(t);
+    } : function(e, t) {
+        return function() {
+            e.apply(t, arguments);
+        };
+    }, o = Object.keys || function(e) {
+        var t = [];
+        for (var n in e) e.hasOwnProperty(n) && t.push(n);
+        return t;
+    }, n = MathJax.Ajax.config.path;
+    n.a11y || (n.a11y = i.config.root + "/extensions/a11y");
+    var l = e["accessibility-menu"] = {
+        version: "1.6.0",
+        prefix: "",
+        defaults: {},
+        modules: [],
+        MakeOption: function(e) {
+            return l.prefix + e;
+        },
+        GetOption: function(e) {
+            return a[l.MakeOption(e)];
+        },
+        AddDefaults: function() {
+            for (var e, t = o(l.defaults), n = 0; e = t[n]; n++) {
+                var i = l.MakeOption(e);
+                void 0 === a[i] && (a[i] = l.defaults[e]);
+            }
+        },
+        AddMenu: function() {
+            for (var e, t = Array(this.modules.length), n = 0; e = this.modules[n]; n++) t[n] = e.placeHolder;
+            var i, a, o = u.FindId("Accessibility");
+            o ? (t.unshift(s.RULE()), o.submenu.items.push.apply(o.submenu.items, t)) : ((i = (u.FindId("Settings", "Renderer") || {}).submenu) && (t.unshift(s.RULE()), 
+            t.unshift(i.items.pop()), t.unshift(i.items.pop())), t.unshift("Accessibility"), 
+            o = s.SUBMENU.apply(s.SUBMENU, t), (a = u.IndexOfId("Locale")) ? u.items.splice(a, 0, o) : u.items.push(s.RULE(), o));
+        },
+        Register: function(e) {
+            l.defaults[e.option] = !1, l.modules.push(e);
+        },
+        Startup: function() {
+            s = MathJax.Menu.ITEM, u = MathJax.Menu.menu;
+            for (var e, t = 0; e = this.modules[t]; t++) e.CreateMenu();
+            this.AddMenu();
+        },
+        LoadExtensions: function() {
+            for (var e, t = [], n = 0; e = this.modules[n]; n++) a[e.option] && t.push(e.module);
+            return t.length ? i.Startup.loadArray(t) : null;
+        }
+    }, r = MathJax.Extension.ModuleLoader = MathJax.Object.Subclass({
+        option: "",
+        name: [ "", "" ],
+        module: "",
+        placeHolder: null,
+        submenu: !1,
+        extension: null,
+        Init: function(e, t, n, i, a) {
+            this.option = e, this.name = [ t.replace(/ /g, ""), t ], this.module = n, this.extension = i, 
+            this.submenu = a || !1;
+        },
+        CreateMenu: function() {
+            var e = t(this.Load, this);
+            this.submenu ? this.placeHolder = s.SUBMENU(this.name, s.CHECKBOX([ "Activate", "Activate" ], l.MakeOption(this.option), {
+                action: e
+            }), s.RULE(), s.COMMAND([ "OptionsWhenActive", "(Options when Active)" ], null, {
+                disabled: !0
+            })) : this.placeHolder = s.CHECKBOX(this.name, l.MakeOption(this.option), {
+                action: e
+            });
+        },
+        Load: function() {
+            i.Queue([ "Require", MathJax.Ajax, this.module, [ "Enable", this ] ]);
+        },
+        Enable: function(e) {
+            var t = MathJax.Extension[this.extension];
+            t && (t.Enable(!0, !0), MathJax.Menu.saveCookie());
+        }
+    });
+    l.Register(r("collapsible", "Collapsible Math", "[a11y]/collapsible.js", "collapsible")), 
+    l.Register(r("autocollapse", "Auto Collapse", "[a11y]/auto-collapse.js", "auto-collapse")), 
+    l.Register(r("explorer", "Explorer", "[a11y]/explorer.js", "explorer", !0)), l.AddDefaults(), 
+    i.Register.StartupHook("End Extensions", function() {
+        i.Register.StartupHook("MathMenu Ready", function() {
+            l.Startup(), i.Startup.signal.Post("Accessibility Menu Ready");
+        }, 5);
+    }, 5), MathJax.Hub.Register.StartupHook("End Cookie", function() {
+        MathJax.Callback.Queue([ "LoadExtensions", l ], [ "loadComplete", MathJax.Ajax, "[a11y]/accessibility-menu.js" ]);
+    });
+}(MathJax.Hub, MathJax.Extension);
\ No newline at end of file
diff --git a/unpacked/extensions/a11y/auto-collapse.js b/unpacked/extensions/a11y/auto-collapse.js
index 640b9c2518..5b1ba8baa8 100644
--- a/unpacked/extensions/a11y/auto-collapse.js
+++ b/unpacked/extensions/a11y/auto-collapse.js
@@ -1 +1,251 @@
-!function(a){var b=a.config.menuSettings,c={},d=MathJax.Ajax.config.path;d.a11y||(d.a11y=a.config.root+"/extensions/a11y");var e=MathJax.Extension["auto-collapse"]={version:"1.5.0",config:a.CombineConfig("auto-collapse",{disabled:!1}),dependents:[],Enable:function(d,e){b.autocollapse=!0,e&&(c.autocollapse=!0),this.config.disabled=!1,MathJax.Extension.collapsible.Enable(!1,e),d&&a.Queue(["Reprocess",a],["CollapseWideMath",this])},Disable:function(d,e){b.autocollapse=!1,e&&(c.autocollapse=!1),this.config.disabled=!0;for(var f=this.dependents.length-1;f>=0;f--){var g=this.dependents[f];g.Disable&&g.Disable(!1,e)}d&&a.Queue(["Rerender",a])},Dependent:function(a){this.dependents.push(a)},Startup:function(){var b=MathJax.Extension.collapsible;b&&b.Dependent(this),a.postInputHooks.Add(["Filter",e],150),a.Queue(function(){return e.CollapseWideMath()}),window.addEventListener?window.addEventListener("resize",e.resizeHandler,!1):window.attachEvent?window.attachEvent("onresize",e.resizeHandler):window.onresize=e.resizeHandler},Filter:function(a,b,c){a.enriched&&!this.config.disabled&&("block"===a.root.Get("display")||c.parentNode.childNodes.length<=3)&&(a.root.SRE={action:this.Actions(a.root)})},Actions:function(a){var b=[];return this.getActions(a,0,b),this.sortActions(b)},getActions:function(a,b,c){if(!a.isToken&&a.data){b++;for(var d=0,e=a.data.length;d<e;d++)if(a.data[d]){var f=a.data[d];f.collapsible?(c[b]||(c[b]=[]),c[b].push(f),this.getActions(f.data[1],b,c)):this.getActions(f,b,c)}}},sortActions:function(a){for(var b=[],c=0,d=a.length;c<d;c++)a[c]&&(b=b.concat(a[c].sort(this.sortActionsBy)));return b},sortActionsBy:function(a,b){return a=a.data[1].complexity,b=b.data[1].complexity,a<b?-1:a>b?1:0},CollapseWideMath:function(b){if(!this.config.disabled){this.GetContainerWidths(b);var c=a.getAllJax(b),d={collapse:[],jax:c,m:c.length,i:0,changed:!1};return this.collapseState(d)}},collapseState:function(b){for(var c=b.collapse;b.i<b.m;){var d=b.jax[b.i],e=d.root.SRE;if(b.changed=!1,e&&e.action.length&&(e.cwidth<e.m||e.cwidth>e.M)){var f=this.getActionWidths(d,b);if(f)return f;this.collapseActions(e,b),b.changed&&c.push(d.SourceElement())}b.i++}if(0!==c.length)return 1===c.length&&(c=c[0]),a.Rerender(c)},collapseActions:function(a,b){for(var c=a.width,d=c,e=1e6,f=a.action.length-1;f>=0;f--){var g=a.action[f],h=g.selection;c>a.cwidth?(g.selection=1,d=g.SREwidth,e=c):g.selection=2,c=g.SREwidth,a.DOMupdate?document.getElementById(g.id).setAttribute("selection",g.selection):g.selection!==h&&(b.changed=!0)}a.m=d,a.M=e},getActionWidths:function(a,b){if(!a.root.SRE.actionWidths){MathJax.OutputJax[a.outputJax].getMetrics(a);try{this.computeActionWidths(a)}catch(a){if(!a.restart)throw a;return MathJax.Callback.After(["collapseState",this,b],a.restart)}b.changed=!0}return null},computeActionWidths:function(a){var b,c=a.root.SRE,d=c.action,e={};for(c.width=a.sreGetRootWidth(e),b=d.length-1;b>=0;b--)d[b].selection=2;for(b=d.length-1;b>=0;b--){var f=d[b];null==f.SREwidth&&(f.selection=1,f.SREwidth=a.sreGetActionWidth(e,f))}c.actionWidths=!0},GetContainerWidths:function(b){var c,d,e,f,g,h=a.getAllJax(b),i=MathJax.HTML.Element("span",{style:{display:"block"}}),j=[];for(c=0,d=h.length;c<d;c++)f=h[c],g=f.root,SRE=g.SRE,SRE&&SRE.action.length&&(null==SRE.width&&(f.sreGetMetrics(),SRE.m=SRE.width,SRE.M=1e6),e=f.SourceElement(),e.previousSibling.style.display="none",e.parentNode.insertBefore(i.cloneNode(!1),e),j.push([f,e]));for(c=0,d=j.length;c<d;c++)f=j[c][0],e=j[c][1],e.previousSibling.offsetWidth&&(f.root.SRE.cwidth=e.previousSibling.offsetWidth*f.root.SRE.em);for(c=0,d=j.length;c<d;c++)f=j[c][0],e=j[c][1],e.parentNode.removeChild(e.previousSibling),e.previousSibling.style.display=""},timer:null,running:!1,retry:!1,saved_delay:0,resizeHandler:function(a){if(!e.config.disabled){if(e.running)return void(e.retry=!0);e.timer&&clearTimeout(e.timer),e.timer=setTimeout(e.resizeAction,100)}},resizeAction:function(){e.timer=null,e.running=!0,a.Queue(function(){e.saved_delay=a.processSectionDelay,a.processSectionDelay=0},["CollapseWideMath",e],["resizeCheck",e])},resizeCheck:function(){e.running=!1,a.processSectionDelay=e.saved_delay,e.retry&&(e.retry=!1,setTimeout(e.resizeHandler,0))}};a.Register.StartupHook("End Extensions",function(){null==b.autocollapse?b.autocollapse=!e.config.disabled:e.config.disabled=!b.autocollapse,a.Register.StartupHook("MathMenu Ready",function(){c=MathJax.Menu.cookie;var a,d=function(a){e[b.autocollapse?"Enable":"Disable"](!0,!0),MathJax.Menu.saveCookie()},f=MathJax.Menu.ITEM,g=MathJax.Menu.menu,h=f.CHECKBOX(["AutoCollapse","Auto Collapse"],"autocollapse",{action:d}),i=(g.FindId("Accessibility")||{}).submenu;i?(a=i.IndexOfId("AutoCollapse"),null!==a?i.items[a]=h:(a=i.IndexOfId("CollapsibleMath"),i.items.splice(a+1,0,h))):(a=g.IndexOfId("CollapsibleMath"),g.items.splice(a+1,0,h));var j=function(){e[b.autocollapse?"Enable":"Disable"]()};MathJax.Extension.collapse?j():MathJax.Hub.Register.StartupHook("Auto Collapse Ready",j)},25)},25)}(MathJax.Hub),MathJax.ElementJax.Augment({sreGetMetrics:function(){MathJax.OutputJax[this.outputJax].sreGetMetrics(this,this.root.SRE)},sreGetRootWidth:function(a){return MathJax.OutputJax[this.outputJax].sreGetRootWidth(this,a)},sreGetActionWidth:function(a,b){return MathJax.OutputJax[this.outputJax].sreGetActionWidth(this,a,b)}}),MathJax.OutputJax.Augment({getMetrics:function(){},sreGetMetrics:function(a,b){b.cwidth=1e6,b.width=0,b.em=12},sreGetRootWidth:function(a,b){return 0},sreGetActionWidth:function(a,b,c){return 0}}),MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function(){MathJax.OutputJax["HTML-CSS"].Augment({sreGetMetrics:function(a,b){b.width=a.root.data[0].HTMLspanElement().parentNode.bbox.w,b.em=1/a.HTMLCSS.em/a.HTMLCSS.scale},sreGetRootWidth:function(a,b){var c=a.root.data[0].HTMLspanElement();return b.box=c.parentNode,b.box.bbox.w},sreGetActionWidth:function(a,b,c){return a.root.data[0].toHTML(b.box).bbox.w}})}),MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){MathJax.OutputJax.SVG.Augment({getMetrics:function(a){this.em=MathJax.ElementJax.mml.mbase.prototype.em=a.SVG.em,this.ex=a.SVG.ex,this.linebreakWidth=a.SVG.lineWidth,this.cwidth=a.SVG.cwidth},sreGetMetrics:function(a,b){b.width=a.root.SVGdata.w/1e3,b.em=1/a.SVG.em},sreGetRootWidth:function(a,b){return b.span=document.getElementById(a.inputID+"-Frame"),a.root.SVGdata.w/1e3},sreGetActionWidth:function(a,b,c){this.mathDiv=b.span,b.span.appendChild(this.textSVG);try{a.root.data[0].toSVG()}catch(a){var d=a}if(b.span.removeChild(this.textSVG),d)throw d;return a.root.data[0].SVGdata.w/1e3}})}),MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function(){MathJax.OutputJax.CommonHTML.Augment({sreGetMetrics:function(a,b){b.width=a.root.CHTML.w,b.em=1/a.CHTML.em/a.CHTML.scale},sreGetRootWidth:function(a,b){return b.span=document.getElementById(a.inputID+"-Frame").firstChild,b.tmp=document.createElement("span"),b.tmp.className=b.span.className,a.root.CHTML.w/a.CHTML.scale},sreGetActionWidth:function(a,b,c){b.span.parentNode.replaceChild(b.tmp,b.span),MathJax.OutputJax.CommonHTML.CHTMLnode=b.tmp;try{a.root.data[0].toCommonHTML(b.tmp)}catch(a){var d=a}if(b.tmp.parentNode.replaceChild(b.span,b.tmp),d)throw d;return a.root.data[0].CHTML.w/a.CHTML.scale}})}),MathJax.Hub.Register.StartupHook("NativeMML Jax Ready",function(){MathJax.OutputJax.NativeMML.Augment({sreGetMetrics:function(a,b){var c=document.getElementById(a.inputID+"-Frame");b.width=c.offsetWidth,b.em=1,b.DOMupdate=!0},sreGetRootWidth:function(a,b){return b.span=document.getElementById(a.inputID+"-Frame").firstChild,b.span.offsetWidth},sreGetActionWidth:function(a,b,c){return document.getElementById(c.id).setAttribute("selection",1),b.span.offsetWidth}})}),MathJax.Ajax.Require("[a11y]/collapsible.js"),MathJax.Hub.Register.StartupHook("Collapsible Ready",function(){MathJax.Extension["auto-collapse"].Startup(),MathJax.Hub.Startup.signal.Post("Auto Collapse Ready"),MathJax.Ajax.loadComplete("[a11y]/auto-collapse.js")});
\ No newline at end of file
+!function(c) {
+    var s = c.config.menuSettings, r = {}, t = MathJax.Ajax.config.path;
+    t.a11y || (t.a11y = c.config.root + "/extensions/a11y");
+    var l = MathJax.Extension["auto-collapse"] = {
+        version: "1.6.0",
+        config: c.CombineConfig("auto-collapse", {
+            disabled: !1
+        }),
+        dependents: [],
+        Enable: function(t, e) {
+            s.autocollapse = !0, e && (r.autocollapse = !0), this.config.disabled = !1, MathJax.Extension.collapsible.Enable(!1, e), 
+            t && c.Queue([ "Reprocess", c ], [ "CollapseWideMath", this ]);
+        },
+        Disable: function(t, e) {
+            s.autocollapse = !1, e && (r.autocollapse = !1), this.config.disabled = !0;
+            for (var n = this.dependents.length - 1; 0 <= n; n--) {
+                var o = this.dependents[n];
+                o.Disable && o.Disable(!1, e);
+            }
+            t && c.Queue([ "Rerender", c ]);
+        },
+        Dependent: function(t) {
+            this.dependents.push(t);
+        },
+        Startup: function() {
+            var t = MathJax.Extension.collapsible;
+            t && t.Dependent(this), c.postInputHooks.Add([ "Filter", l ], 150), c.Queue(function() {
+                return l.CollapseWideMath();
+            }), window.addEventListener ? window.addEventListener("resize", l.resizeHandler, !1) : window.attachEvent ? window.attachEvent("onresize", l.resizeHandler) : window.onresize = l.resizeHandler;
+        },
+        Filter: function(t, e, n) {
+            t.enriched && !this.config.disabled && ("block" === t.root.Get("display") || n.parentNode.childNodes.length <= 3) && (t.root.SRE = {
+                action: this.Actions(t.root)
+            });
+        },
+        Actions: function(t) {
+            var e = [];
+            return this.getActions(t, 0, e), this.sortActions(e);
+        },
+        getActions: function(t, e, n) {
+            if (!t.isToken && t.data) {
+                e++;
+                for (var o, i = 0, a = t.data.length; i < a; i++) {
+                    t.data[i] && ((o = t.data[i]).collapsible ? (n[e] || (n[e] = []), n[e].push(o), 
+                    this.getActions(o.data[1], e, n)) : this.getActions(o, e, n));
+                }
+            }
+        },
+        sortActions: function(t) {
+            for (var e = [], n = 0, o = t.length; n < o; n++) t[n] && (e = e.concat(t[n].sort(this.sortActionsBy)));
+            return e;
+        },
+        sortActionsBy: function(t, e) {
+            return (t = t.data[1].complexity) < (e = e.data[1].complexity) ? -1 : e < t ? 1 : 0;
+        },
+        CollapseWideMath: function(t) {
+            if (!this.config.disabled) {
+                this.GetContainerWidths(t);
+                var e = c.getAllJax(t), n = {
+                    collapse: [],
+                    jax: e,
+                    m: e.length,
+                    i: 0,
+                    changed: !1
+                };
+                return this.collapseState(n);
+            }
+        },
+        collapseState: function(t) {
+            for (var e = t.collapse; t.i < t.m; ) {
+                var n = t.jax[t.i], o = n.root.SRE;
+                if (t.changed = !1, o && o.action.length && (o.cwidth < o.m || o.cwidth > o.M)) {
+                    var i = this.getActionWidths(n, t);
+                    if (i) return i;
+                    this.collapseActions(o, t), t.changed && e.push(n.SourceElement());
+                }
+                t.i++;
+            }
+            if (0 !== e.length) return 1 === e.length && (e = e[0]), c.Rerender(e);
+        },
+        collapseActions: function(t, e) {
+            for (var n = t.width, o = n, i = 1e6, a = t.action.length - 1; 0 <= a; a--) {
+                var s = t.action[a], r = s.selection;
+                n > t.cwidth ? (s.selection = 1, o = s.SREwidth, i = n) : s.selection = 2, n = s.SREwidth, 
+                t.DOMupdate ? document.getElementById(s.id).setAttribute("selection", s.selection) : s.selection !== r && (e.changed = !0);
+            }
+            t.m = o, t.M = i;
+        },
+        getActionWidths: function(t, e) {
+            if (!t.root.SRE.actionWidths) {
+                MathJax.OutputJax[t.outputJax].getMetrics(t);
+                try {
+                    this.computeActionWidths(t);
+                } catch (t) {
+                    if (!t.restart) throw t;
+                    return MathJax.Callback.After([ "collapseState", this, e ], t.restart);
+                }
+                e.changed = !0;
+            }
+            return null;
+        },
+        computeActionWidths: function(t) {
+            var e, n = t.root.SRE, o = n.action, i = {};
+            for (n.width = t.sreGetRootWidth(i), e = o.length - 1; 0 <= e; e--) o[e].selection = 2;
+            for (e = o.length - 1; 0 <= e; e--) {
+                var a = o[e];
+                null == a.SREwidth && (a.selection = 1, a.SREwidth = t.sreGetActionWidth(i, a));
+            }
+            n.actionWidths = !0;
+        },
+        GetContainerWidths: function(t) {
+            for (var e, n, o, i = c.getAllJax(t), a = MathJax.HTML.Element("span", {
+                style: {
+                    display: "block"
+                }
+            }), s = [], r = 0, l = i.length; r < l; r++) o = (n = i[r]).root, SRE = o.SRE, SRE && SRE.action.length && (null == SRE.width && (n.sreGetMetrics(), 
+            SRE.m = SRE.width, SRE.M = 1e6), (e = n.SourceElement()).previousSibling.style.display = "none", 
+            e.parentNode.insertBefore(a.cloneNode(!1), e), s.push([ n, e ]));
+            for (r = 0, l = s.length; r < l; r++) n = s[r][0], (e = s[r][1]).previousSibling.offsetWidth && (n.root.SRE.cwidth = e.previousSibling.offsetWidth * n.root.SRE.em);
+            for (r = 0, l = s.length; r < l; r++) n = s[r][0], (e = s[r][1]).parentNode.removeChild(e.previousSibling), 
+            e.previousSibling.style.display = "";
+        },
+        timer: null,
+        running: !1,
+        retry: !1,
+        saved_delay: 0,
+        resizeHandler: function(t) {
+            l.config.disabled || (l.running ? l.retry = !0 : (l.timer && clearTimeout(l.timer), 
+            l.timer = setTimeout(l.resizeAction, 100)));
+        },
+        resizeAction: function() {
+            l.timer = null, l.running = !0, c.Queue(function() {
+                l.saved_delay = c.processSectionDelay, c.processSectionDelay = 0;
+            }, [ "CollapseWideMath", l ], [ "resizeCheck", l ]);
+        },
+        resizeCheck: function() {
+            l.running = !1, c.processSectionDelay = l.saved_delay, l.retry && (l.retry = !1, 
+            setTimeout(l.resizeHandler, 0));
+        }
+    };
+    c.Register.StartupHook("End Extensions", function() {
+        null == s.autocollapse ? s.autocollapse = !l.config.disabled : l.config.disabled = !s.autocollapse, 
+        c.Register.StartupHook("MathMenu Ready", function() {
+            r = MathJax.Menu.cookie;
+            var t, e = MathJax.Menu.ITEM, n = MathJax.Menu.menu, o = e.CHECKBOX([ "AutoCollapse", "Auto Collapse" ], "autocollapse", {
+                action: function(t) {
+                    l[s.autocollapse ? "Enable" : "Disable"](!0, !0), MathJax.Menu.saveCookie();
+                }
+            }), i = (n.FindId("Accessibility") || {}).submenu;
+            i ? null !== (t = i.IndexOfId("AutoCollapse")) ? i.items[t] = o : (t = i.IndexOfId("CollapsibleMath"), 
+            i.items.splice(t + 1, 0, o)) : (t = n.IndexOfId("CollapsibleMath"), n.items.splice(t + 1, 0, o));
+            function a() {
+                l[s.autocollapse ? "Enable" : "Disable"]();
+            }
+            MathJax.Extension.collapse ? a() : MathJax.Hub.Register.StartupHook("Auto Collapse Ready", a);
+        }, 25);
+    }, 25);
+}(MathJax.Hub), MathJax.ElementJax.Augment({
+    sreGetMetrics: function() {
+        MathJax.OutputJax[this.outputJax].sreGetMetrics(this, this.root.SRE);
+    },
+    sreGetRootWidth: function(t) {
+        return MathJax.OutputJax[this.outputJax].sreGetRootWidth(this, t);
+    },
+    sreGetActionWidth: function(t, e) {
+        return MathJax.OutputJax[this.outputJax].sreGetActionWidth(this, t, e);
+    }
+}), MathJax.OutputJax.Augment({
+    getMetrics: function() {},
+    sreGetMetrics: function(t, e) {
+        e.cwidth = 1e6, e.width = 0, e.em = 12;
+    },
+    sreGetRootWidth: function(t, e) {
+        return 0;
+    },
+    sreGetActionWidth: function(t, e, n) {
+        return 0;
+    }
+}), MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready", function() {
+    MathJax.OutputJax["HTML-CSS"].Augment({
+        sreGetMetrics: function(t, e) {
+            e.width = t.root.data[0].HTMLspanElement().parentNode.bbox.w, e.em = 1 / t.HTMLCSS.em / t.HTMLCSS.scale;
+        },
+        sreGetRootWidth: function(t, e) {
+            var n = t.root.data[0].HTMLspanElement();
+            return e.box = n.parentNode, e.box.bbox.w;
+        },
+        sreGetActionWidth: function(t, e, n) {
+            return t.root.data[0].toHTML(e.box).bbox.w;
+        }
+    });
+}), MathJax.Hub.Register.StartupHook("SVG Jax Ready", function() {
+    MathJax.OutputJax.SVG.Augment({
+        getMetrics: function(t) {
+            this.em = MathJax.ElementJax.mml.mbase.prototype.em = t.SVG.em, this.ex = t.SVG.ex, 
+            this.linebreakWidth = t.SVG.lineWidth, this.cwidth = t.SVG.cwidth;
+        },
+        sreGetMetrics: function(t, e) {
+            e.width = t.root.SVGdata.w / 1e3, e.em = 1 / t.SVG.em;
+        },
+        sreGetRootWidth: function(t, e) {
+            return e.span = document.getElementById(t.inputID + "-Frame"), t.root.SVGdata.w / 1e3;
+        },
+        sreGetActionWidth: function(t, e, n) {
+            this.mathDiv = e.span, e.span.appendChild(this.textSVG);
+            try {
+                t.root.data[0].toSVG();
+            } catch (t) {
+                var o = t;
+            }
+            if (e.span.removeChild(this.textSVG), o) throw o;
+            return t.root.data[0].SVGdata.w / 1e3;
+        }
+    });
+}), MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready", function() {
+    MathJax.OutputJax.CommonHTML.Augment({
+        sreGetMetrics: function(t, e) {
+            e.width = t.root.CHTML.w, e.em = 1 / t.CHTML.em / t.CHTML.scale;
+        },
+        sreGetRootWidth: function(t, e) {
+            return e.span = document.getElementById(t.inputID + "-Frame").firstChild, e.tmp = document.createElement("span"), 
+            e.tmp.className = e.span.className, t.root.CHTML.w / t.CHTML.scale;
+        },
+        sreGetActionWidth: function(t, e, n) {
+            e.span.parentNode.replaceChild(e.tmp, e.span), MathJax.OutputJax.CommonHTML.CHTMLnode = e.tmp;
+            try {
+                t.root.data[0].toCommonHTML(e.tmp);
+            } catch (t) {
+                var o = t;
+            }
+            if (e.tmp.parentNode.replaceChild(e.span, e.tmp), o) throw o;
+            return t.root.data[0].CHTML.w / t.CHTML.scale;
+        }
+    });
+}), MathJax.Hub.Register.StartupHook("NativeMML Jax Ready", function() {
+    MathJax.OutputJax.NativeMML.Augment({
+        sreGetMetrics: function(t, e) {
+            var n = document.getElementById(t.inputID + "-Frame");
+            e.width = n.offsetWidth, e.em = 1, e.DOMupdate = !0;
+        },
+        sreGetRootWidth: function(t, e) {
+            return e.span = document.getElementById(t.inputID + "-Frame").firstChild, e.span.offsetWidth;
+        },
+        sreGetActionWidth: function(t, e, n) {
+            return document.getElementById(n.id).setAttribute("selection", 1), e.span.offsetWidth;
+        }
+    });
+}), MathJax.Ajax.Require("[a11y]/collapsible.js"), MathJax.Hub.Register.StartupHook("Collapsible Ready", function() {
+    MathJax.Extension["auto-collapse"].Startup(), MathJax.Hub.Startup.signal.Post("Auto Collapse Ready"), 
+    MathJax.Ajax.loadComplete("[a11y]/auto-collapse.js");
+});
\ No newline at end of file
diff --git a/unpacked/extensions/a11y/collapsible.js b/unpacked/extensions/a11y/collapsible.js
index a3254ed258..826e9299d7 100644
--- a/unpacked/extensions/a11y/collapsible.js
+++ b/unpacked/extensions/a11y/collapsible.js
@@ -1 +1,344 @@
-!function(a){var b,c=a.config.menuSettings,d={},e="data-semantic-complexity",f=MathJax.Ajax.config.path;f.a11y||(f.a11y=a.config.root+"/extensions/a11y");var g=MathJax.Extension.collapsible={version:"1.5.0",config:a.CombineConfig("collapsible",{disabled:!1}),dependents:[],COMPLEXATTR:e,COMPLEXITY:{TEXT:.5,TOKEN:.5,CHILD:1,SCRIPT:.8,SQRT:2,SUBSUP:2,UNDEROVER:2,FRACTION:2,ACTION:2,PHANTOM:0,XML:2,GLYPH:2},COLLAPSE:{identifier:3,number:3,text:10,infixop:15,relseq:15,multirel:15,fenced:18,bigop:20,integral:20,fraction:12,sqrt:9,root:12,vector:15,matrix:15,cases:15,superscript:9,subscript:9,subsup:9,punctuated:{endpunct:1e7,startpunct:1e7,value:12}},MARKER:{identifier:"x",number:"#",text:"...",appl:{"limit function":"lim",value:"f()"},fraction:"/",sqrt:"\u221a",root:"\u221a",superscript:"\u25fd\u02d9",subscript:"\u25fd.",subsup:"\u25fd:",vector:{binomial:"(:)",determinant:"|:|",value:"\u27e8:\u27e9"},matrix:{squarematrix:"[::]",rowvector:"\u27e8\u22ef\u27e9",columnvector:"\u27e8\u22ee\u27e9",determinant:"|::|",value:"(::)"},cases:"{:",infixop:{addition:"+",subtraction:"\u2212",multiplication:"\u22c5",implicit:"\u22c5",value:"+"},punctuated:{text:"...",value:","}},Enable:function(b,e){c.collapsible=!0,e&&(d.collapsible=!0),this.config.disabled=!1,MathJax.Extension["semantic-enrich"].Enable(!1,e),b&&a.Queue(["Reprocess",a])},Disable:function(b,e){c.collapsible=!1,e&&(d.collapsible=!1),this.config.disabled=!0;for(var f=this.dependents.length-1;f>=0;f--){var g=this.dependents[f];g.Disable&&g.Disable(!1,e)}b&&a.Queue(["Reprocess",a])},Dependent:function(a){this.dependents.push(a)},Startup:function(){b=MathJax.ElementJax.mml;var c=MathJax.Extension["semantic-enrich"];c&&c.Dependent(this),a.postInputHooks.Add(["Filter",g],100)},Filter:function(a,b,c){a.enriched&&!this.config.disabled&&(a.root=a.root.Collapse(),a.root.inputID=c.id)},Marker:function(a){return b.mtext("\u25c2"+a+"\u25b8").With({mathcolor:"blue",attr:{},attrNames:[]})},MakeAction:function(a,c){var d=b.maction(a).With({id:this.getActionID(),actiontype:"toggle",complexity:a.getComplexity(),collapsible:!0,attrNames:["id","actiontype","selection",e],attr:{},selection:2});if(d.attr[e]=d.complexity,"math"===c.type){var f=b.mrow().With({complexity:c.complexity,attrNames:[],attr:{}});f.Append.apply(f,c.data);for(var g,h=c.attrNames.length-1;g=c.attrNames[h];h--)"data-semantic-"===g.substr(0,14)&&(f.attr[g]=c.attr[g],f.attrNames.push(g),delete c.attr[g],c.attrNames.splice(h,1));f.complexity=c.complexity,d.Append(f),c.data=[],c.Append(d),c.complexity=d.complexity,d=c}else d.Append(c);return d},actionID:1,getActionID:function(){return"MJX-Collapse-"+this.actionID++},Collapse:function(a){a.getComplexity();var b=(a.attr||{})["data-semantic-type"];if(b)if(this["Collapse_"+b])a=this["Collapse_"+b](a);else if(this.COLLAPSE[b]&&this.MARKER[b]){var c=a.attr["data-semantic-role"],d=this.COLLAPSE[b];if("number"!=typeof d&&(d=d[c]||d.value),a.complexity>d){var e=this.MARKER[b];"string"!=typeof e&&(e=e[c]||e.value),a=this.MakeAction(this.Marker(e),a)}}return a},UncollapseChild:function(a,b,c){if(null==c&&(c=1),this.SplitAttribute(a,"children").length===c){var d=1===a.data.length&&a.data[0].inferred?a.data[0]:a;if(d&&d.data[b]&&d.data[b].collapsible)return d.SetData(b,d.data[b].data[1]),a.complexity=d.complexity=null,a.getComplexity(),1}return 0},FindChildText:function(a,b){var c=this.FindChild(a,b);return c?(c.CoreMO()||c).data.join(""):"?"},FindChild:function(a,b){if(a){if(a.attr&&a.attr["data-semantic-id"]===b)return a;if(!a.isToken)for(var c=0,d=a.data.length;c<d;c++){var e=this.FindChild(a.data[c],b);if(e)return e}}return null},SplitAttribute:function(a,b){return(a.attr["data-semantic-"+b]||"").split(/,/)},Collapse_fenced:function(a){if(this.UncollapseChild(a,1),a.complexity>this.COLLAPSE.fenced&&"leftright"===a.attr["data-semantic-role"]){var b=a.data[0].data.join("")+a.data[a.data.length-1].data.join("");a=this.MakeAction(this.Marker(b),a)}return a},Collapse_appl:function(a){if(this.UncollapseChild(a,2,2)){var b=this.MARKER.appl;b=b[a.attr["data-semantic-role"]]||b.value,a=this.MakeAction(this.Marker(b),a)}return a},Collapse_sqrt:function(a){return this.UncollapseChild(a,0),a.complexity>this.COLLAPSE.sqrt&&(a=this.MakeAction(this.Marker(this.MARKER.sqrt),a)),a},Collapse_root:function(a){return this.UncollapseChild(a,0),a.complexity>this.COLLAPSE.sqrt&&(a=this.MakeAction(this.Marker(this.MARKER.sqrt),a)),a},Collapse_enclose:function(a){if(1===this.SplitAttribute(a,"children").length){var b=1===a.data.length&&a.data[0].inferred?a.data[0]:a;if(b.data[0]&&b.data[0].collapsible){var c=b.data[0];b.SetData(0,c.data[1]),c.SetData(1,a),a=c}}return a},Collapse_bigop:function(a){if(a.complexity>this.COLLAPSE.bigop||"mo"!==a.data[0].type){var b=this.SplitAttribute(a,"content").pop(),c=g.FindChildText(a,b);a=this.MakeAction(this.Marker(c),a)}return a},Collapse_integral:function(a){if(a.complexity>this.COLLAPSE.integral||"mo"!==a.data[0].type){var b=this.SplitAttribute(a,"content")[0],c=g.FindChildText(a,b);a=this.MakeAction(this.Marker(c),a)}return a},Collapse_relseq:function(a){if(a.complexity>this.COLLAPSE.relseq){var b=this.SplitAttribute(a,"content"),c=g.FindChildText(a,b[0]);b.length>1&&(c+="\u22ef"),a=this.MakeAction(this.Marker(c),a)}return a},Collapse_multirel:function(a){if(a.complexity>this.COLLAPSE.multirel){var b=this.SplitAttribute(a,"content"),c=g.FindChildText(a,b[0])+"\u22ef";a=this.MakeAction(this.Marker(c),a)}return a},Collapse_superscript:function(a){return this.UncollapseChild(a,0,2),a.complexity>this.COLLAPSE.superscript&&(a=this.MakeAction(this.Marker(this.MARKER.superscript),a)),a},Collapse_subscript:function(a){return this.UncollapseChild(a,0,2),a.complexity>this.COLLAPSE.subscript&&(a=this.MakeAction(this.Marker(this.MARKER.subscript),a)),a},Collapse_subsup:function(a){return this.UncollapseChild(a,0,3),a.complexity>this.COLLAPSE.subsup&&(a=this.MakeAction(this.Marker(this.MARKER.subsup),a)),a}};a.Register.StartupHook("End Extensions",function(){null==c.collapsible?c.collapsible=!g.config.disabled:g.config.disabled=!c.collapsible,a.Register.StartupHook("MathMenu Ready",function(){d=MathJax.Menu.cookie;var a,b=function(a){g[c.collapsible?"Enable":"Disable"](!0,!0),MathJax.Menu.saveCookie()},e=MathJax.Menu.ITEM,f=MathJax.Menu.menu,h=e.CHECKBOX(["CollapsibleMath","Collapsible Math"],"collapsible",{action:b}),i=(f.FindId("Accessibility")||{}).submenu;i?(a=i.IndexOfId("CollapsibleMath"),null!==a?i.items[a]=h:i.items.push(e.RULE(),h)):(a=f.IndexOfId("About"),f.items.splice(a,0,h,e.RULE()))},15)},15)}(MathJax.Hub),MathJax.Ajax.Require("[a11y]/semantic-enrich.js"),MathJax.Hub.Register.StartupHook("Semantic Enrich Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.Extension.collapsible,c=b.COMPLEXITY,d=b.COMPLEXATTR;b.Startup(),a.mbase.Augment({Collapse:function(){return b.Collapse(this)},getComplexity:function(){if(null==this.complexity){var a=0;if(this.isToken)a=c.TEXT*this.data.join("").length+c.TOKEN;else{for(var b=0,e=this.data.length;b<e;b++)this.data[b]&&(this.SetData(b,this.data[b].Collapse()),a+=this.data[b].complexity);e>1&&(a+=e*c.CHILD)}!this.attrNames||"complexity"in this||this.attrNames.push(d),this.attr&&(this.attr[d]=a),this.complexity=a}return this.complexity},reportComplexity:function(){!this.attr||!this.attrNames||d in this.attr||(this.attrNames.push(d),this.attr[d]=this.complexity)}}),a.mfrac.Augment({getComplexity:function(){return null==this.complexity&&(this.SUPER(arguments).getComplexity.call(this),this.complexity*=c.SCRIPT,this.complexity+=c.FRACTION,this.attr[d]=this.complexity),this.complexity}}),a.msqrt.Augment({getComplexity:function(){return null==this.complexity&&(this.SUPER(arguments).getComplexity.call(this),this.complexity+=c.SQRT,this.attr[d]=this.complexity),this.complexity}}),a.mroot.Augment({getComplexity:function(){return null==this.complexity&&(this.SUPER(arguments).getComplexity.call(this),this.complexity-=(1-c.SCRIPT)*this.data[1].getComplexity(),this.complexity+=c.SQRT,this.attr[d]=this.complexity),this.complexity}}),a.msubsup.Augment({getComplexity:function(){if(null==this.complexity){var a=0;this.data[this.sub]&&(a=this.data[this.sub].getComplexity()+c.CHILD),this.data[this.sup]&&(a=Math.max(this.data[this.sup].getComplexity(),a)),a*=c.SCRIPT,this.data[this.sub]&&(a+=c.CHILD),this.data[this.sup]&&(a+=c.CHILD),this.data[this.base]&&(a+=this.data[this.base].getComplexity()+c.CHILD),this.complexity=a+c.SUBSUP,this.reportComplexity()}return this.complexity}}),a.munderover.Augment({getComplexity:function(){if(null==this.complexity){var a=0;this.data[this.sub]&&(a=this.data[this.sub].getComplexity()+c.CHILD),this.data[this.sup]&&(a=Math.max(this.data[this.sup].getComplexity(),a)),a*=c.SCRIPT,this.data[this.base]&&(a=Math.max(this.data[this.base].getComplexity(),a)),this.data[this.sub]&&(a+=c.CHILD),this.data[this.sup]&&(a+=c.CHILD),this.data[this.base]&&(a+=c.CHILD),this.complexity=a+c.UNDEROVER,this.reportComplexity()}return this.complexity}}),a.mphantom.Augment({getComplexity:function(){return this.complexity=c.PHANTOM,this.reportComplexity(),this.complexity}}),a.ms.Augment({getComplexity:function(){return this.SUPER(arguments).getComplexity.call(this),this.complexity+=this.Get("lquote").length*c.TEXT,this.complexity+=this.Get("rquote").length*c.TEXT,this.attr[d]=this.complexity,this.complexity}}),a.menclose.Augment({getComplexity:function(){return null==this.complexity&&(this.SUPER(arguments).getComplexity.call(this),this.complexity+=c.ACTION,this.attr[d]=this.complexity),this.complexity}}),a.maction.Augment({getComplexity:function(){return this.complexity=(this.collapsible?this.data[0]:this.selected()).getComplexity(),this.reportComplexity(),this.complexity}}),a.semantics.Augment({getComplexity:function(){return null==this.complexity&&(this.complexity=this.data[0]?this.data[0].getComplexity():0,this.reportComplexity()),this.complexity}}),a["annotation-xml"].Augment({getComplexity:function(){return this.complexity=c.XML,this.reportComplexity(),this.complexity}}),a.annotation.Augment({getComplexity:function(){return this.complexity=c.XML,this.reportComplexity(),this.complexity}}),a.mglyph.Augment({getComplexity:function(){return this.complexity=c.GLYPH,this.reportComplexity(),this.complexity}}),MathJax.Hub.Startup.signal.Post("Collapsible Ready"),MathJax.Ajax.loadComplete("[a11y]/collapsible.js")});
\ No newline at end of file
+!function(s) {
+    var n, l = s.config.menuSettings, o = {}, r = "data-semantic-complexity", t = MathJax.Ajax.config.path;
+    t.a11y || (t.a11y = s.config.root + "/extensions/a11y");
+    var h = MathJax.Extension.collapsible = {
+        version: "1.6.0",
+        config: s.CombineConfig("collapsible", {
+            disabled: !1
+        }),
+        dependents: [],
+        COMPLEXATTR: r,
+        COMPLEXITY: {
+            TEXT: .5,
+            TOKEN: .5,
+            CHILD: 1,
+            SCRIPT: .8,
+            SQRT: 2,
+            SUBSUP: 2,
+            UNDEROVER: 2,
+            FRACTION: 2,
+            ACTION: 2,
+            PHANTOM: 0,
+            XML: 2,
+            GLYPH: 2
+        },
+        COLLAPSE: {
+            identifier: 3,
+            number: 3,
+            text: 10,
+            infixop: 15,
+            relseq: 15,
+            multirel: 15,
+            fenced: 18,
+            bigop: 20,
+            integral: 20,
+            fraction: 12,
+            sqrt: 9,
+            root: 12,
+            vector: 15,
+            matrix: 15,
+            cases: 15,
+            superscript: 9,
+            subscript: 9,
+            subsup: 9,
+            punctuated: {
+                endpunct: 1e7,
+                startpunct: 1e7,
+                value: 12
+            }
+        },
+        MARKER: {
+            identifier: "x",
+            number: "#",
+            text: "...",
+            appl: {
+                "limit function": "lim",
+                value: "f()"
+            },
+            fraction: "/",
+            sqrt: "\u221a",
+            root: "\u221a",
+            superscript: "\u25fd\u02d9",
+            subscript: "\u25fd.",
+            subsup: "\u25fd:",
+            vector: {
+                binomial: "(:)",
+                determinant: "|:|",
+                value: "\u27e8:\u27e9"
+            },
+            matrix: {
+                squarematrix: "[::]",
+                rowvector: "\u27e8\u22ef\u27e9",
+                columnvector: "\u27e8\u22ee\u27e9",
+                determinant: "|::|",
+                value: "(::)"
+            },
+            cases: "{:",
+            infixop: {
+                addition: "+",
+                subtraction: "\u2212",
+                multiplication: "\u22c5",
+                implicit: "\u22c5",
+                value: "+"
+            },
+            punctuated: {
+                text: "...",
+                value: ","
+            }
+        },
+        Enable: function(t, i) {
+            l.collapsible = !0, i && (o.collapsible = !0), this.config.disabled = !1, MathJax.Extension["semantic-enrich"].Enable(!1, i), 
+            t && s.Queue([ "Reprocess", s ]);
+        },
+        Disable: function(t, i) {
+            l.collapsible = !1, i && (o.collapsible = !1), this.config.disabled = !0;
+            for (var e = this.dependents.length - 1; 0 <= e; e--) {
+                var a = this.dependents[e];
+                a.Disable && a.Disable(!1, i);
+            }
+            t && s.Queue([ "Reprocess", s ]);
+        },
+        Dependent: function(t) {
+            this.dependents.push(t);
+        },
+        Startup: function() {
+            n = MathJax.ElementJax.mml;
+            var t = MathJax.Extension["semantic-enrich"];
+            t && t.Dependent(this), s.postInputHooks.Add([ "Filter", h ], 100);
+        },
+        Filter: function(t, i, e) {
+            t.enriched && !this.config.disabled && (t.root = t.root.Collapse(), t.root.inputID = e.id);
+        },
+        Marker: function(t) {
+            return n.mtext("\u25c2" + t + "\u25b8").With({
+                mathcolor: "blue",
+                attr: {},
+                attrNames: []
+            });
+        },
+        MakeAction: function(t, i) {
+            var e = n.maction(t).With({
+                id: this.getActionID(),
+                actiontype: "toggle",
+                complexity: t.getComplexity(),
+                collapsible: !0,
+                attrNames: [ "id", "actiontype", "selection", r ],
+                attr: {},
+                selection: 2
+            });
+            if (e.attr[r] = e.complexity, "math" === i.type) {
+                var a = n.mrow().With({
+                    complexity: i.complexity,
+                    attrNames: [],
+                    attr: {}
+                });
+                a.Append.apply(a, i.data[0].data), i.data[0].data = [];
+                for (var s, l = i.attrNames.length - 1; s = i.attrNames[l]; l--) "data-semantic-" === s.substr(0, 14) && (a.attr[s] = i.attr[s], 
+                a.attrNames.push(s), delete i.attr[s], i.attrNames.splice(l, 1));
+                a.complexity = i.complexity, e.Append(a), i.Append(e), i.complexity = e.complexity, 
+                e = i;
+            } else e.Append(i);
+            return e;
+        },
+        actionID: 1,
+        getActionID: function() {
+            return "MJX-Collapse-" + this.actionID++;
+        },
+        Collapse: function(t) {
+            t.getComplexity();
+            var i, e, a, s = (t.attr || {})["data-semantic-type"];
+            return s && (this["Collapse_" + s] ? t = this["Collapse_" + s](t) : this.COLLAPSE[s] && this.MARKER[s] && (i = t.attr["data-semantic-role"], 
+            "number" != typeof (e = this.COLLAPSE[s]) && (e = e[i] || e.value), t.complexity > e && ("string" != typeof (a = this.MARKER[s]) && (a = a[i] || a.value), 
+            t = this.MakeAction(this.Marker(a), t)))), t;
+        },
+        UncollapseChild: function(t, i, e) {
+            if (null == e && (e = 1), this.SplitAttribute(t, "children").length === e) {
+                var a = 1 === t.data.length && t.data[0].inferred ? t.data[0] : t;
+                if (a && a.data[i] && a.data[i].collapsible) return a.SetData(i, a.data[i].data[1]), 
+                t.complexity = a.complexity = null, t.getComplexity(), 1;
+            }
+            return 0;
+        },
+        FindChildText: function(t, i) {
+            var e = this.FindChild(t, i);
+            return e ? (e.CoreMO() || e).data.join("") : "?";
+        },
+        FindChild: function(t, i) {
+            if (t) {
+                if (t.attr && t.attr["data-semantic-id"] === i) return t;
+                if (!t.isToken) for (var e = 0, a = t.data.length; e < a; e++) {
+                    var s = this.FindChild(t.data[e], i);
+                    if (s) return s;
+                }
+            }
+            return null;
+        },
+        SplitAttribute: function(t, i) {
+            return (t.attr["data-semantic-" + i] || "").split(/,/);
+        },
+        Collapse_fenced: function(t) {
+            var i;
+            return this.UncollapseChild(t, 1), t.complexity > this.COLLAPSE.fenced && "leftright" === t.attr["data-semantic-role"] && (i = t.data[0].data.join("") + t.data[t.data.length - 1].data.join(""), 
+            t = this.MakeAction(this.Marker(i), t)), t;
+        },
+        Collapse_appl: function(t) {
+            var i;
+            return this.UncollapseChild(t, 2, 2) && (i = (i = this.MARKER.appl)[t.attr["data-semantic-role"]] || i.value, 
+            t = this.MakeAction(this.Marker(i), t)), t;
+        },
+        Collapse_sqrt: function(t) {
+            return this.UncollapseChild(t, 0), t.complexity > this.COLLAPSE.sqrt && (t = this.MakeAction(this.Marker(this.MARKER.sqrt), t)), 
+            t;
+        },
+        Collapse_root: function(t) {
+            return this.UncollapseChild(t, 0), t.complexity > this.COLLAPSE.sqrt && (t = this.MakeAction(this.Marker(this.MARKER.sqrt), t)), 
+            t;
+        },
+        Collapse_enclose: function(t) {
+            var i, e;
+            return 1 !== this.SplitAttribute(t, "children").length || (i = 1 === t.data.length && t.data[0].inferred ? t.data[0] : t).data[0] && i.data[0].collapsible && (e = i.data[0], 
+            i.SetData(0, e.data[1]), e.SetData(1, t), t = e), t;
+        },
+        Collapse_bigop: function(t) {
+            var i, e;
+            return (t.complexity > this.COLLAPSE.bigop || "mo" !== t.data[0].type) && (i = this.SplitAttribute(t, "content").pop(), 
+            e = h.FindChildText(t, i), t = this.MakeAction(this.Marker(e), t)), t;
+        },
+        Collapse_integral: function(t) {
+            var i, e;
+            return (t.complexity > this.COLLAPSE.integral || "mo" !== t.data[0].type) && (i = this.SplitAttribute(t, "content")[0], 
+            e = h.FindChildText(t, i), t = this.MakeAction(this.Marker(e), t)), t;
+        },
+        Collapse_relseq: function(t) {
+            var i, e;
+            return t.complexity > this.COLLAPSE.relseq && (i = this.SplitAttribute(t, "content"), 
+            e = h.FindChildText(t, i[0]), 1 < i.length && (e += "\u22ef"), t = this.MakeAction(this.Marker(e), t)), 
+            t;
+        },
+        Collapse_multirel: function(t) {
+            var i, e;
+            return t.complexity > this.COLLAPSE.multirel && (i = this.SplitAttribute(t, "content"), 
+            e = h.FindChildText(t, i[0]) + "\u22ef", t = this.MakeAction(this.Marker(e), t)), 
+            t;
+        },
+        Collapse_superscript: function(t) {
+            return this.UncollapseChild(t, 0, 2), t.complexity > this.COLLAPSE.superscript && (t = this.MakeAction(this.Marker(this.MARKER.superscript), t)), 
+            t;
+        },
+        Collapse_subscript: function(t) {
+            return this.UncollapseChild(t, 0, 2), t.complexity > this.COLLAPSE.subscript && (t = this.MakeAction(this.Marker(this.MARKER.subscript), t)), 
+            t;
+        },
+        Collapse_subsup: function(t) {
+            return this.UncollapseChild(t, 0, 3), t.complexity > this.COLLAPSE.subsup && (t = this.MakeAction(this.Marker(this.MARKER.subsup), t)), 
+            t;
+        }
+    };
+    s.Register.StartupHook("End Extensions", function() {
+        null == l.collapsible ? l.collapsible = !h.config.disabled : h.config.disabled = !l.collapsible, 
+        s.Register.StartupHook("MathMenu Ready", function() {
+            o = MathJax.Menu.cookie;
+            var t, i = MathJax.Menu.ITEM, e = MathJax.Menu.menu, a = i.CHECKBOX([ "CollapsibleMath", "Collapsible Math" ], "collapsible", {
+                action: function(t) {
+                    h[l.collapsible ? "Enable" : "Disable"](!0, !0), MathJax.Menu.saveCookie();
+                }
+            }), s = (e.FindId("Accessibility") || {}).submenu;
+            s ? null !== (t = s.IndexOfId("CollapsibleMath")) ? s.items[t] = a : s.items.push(i.RULE(), a) : (t = e.IndexOfId("About"), 
+            e.items.splice(t, 0, a, i.RULE()));
+        }, 15);
+    }, 15);
+}(MathJax.Hub), MathJax.Ajax.Require("[a11y]/semantic-enrich.js"), MathJax.Hub.Register.StartupHook("Semantic Enrich Ready", function() {
+    var t = MathJax.ElementJax.mml, i = MathJax.Extension.collapsible, a = i.COMPLEXITY, s = i.COMPLEXATTR;
+    i.Startup(), t.mbase.Augment({
+        Collapse: function() {
+            return i.Collapse(this);
+        },
+        getComplexity: function() {
+            if (null == this.complexity) {
+                var t = 0;
+                if (this.isToken) t = a.TEXT * this.data.join("").length + a.TOKEN; else {
+                    for (var i = 0, e = this.data.length; i < e; i++) this.data[i] && (this.SetData(i, this.data[i].Collapse()), 
+                    t += this.data[i].complexity);
+                    1 < e && (t += e * a.CHILD);
+                }
+                !this.attrNames || "complexity" in this || this.attrNames.push(s), this.attr && (this.attr[s] = t), 
+                this.complexity = t;
+            }
+            return this.complexity;
+        },
+        reportComplexity: function() {
+            !this.attr || !this.attrNames || s in this.attr || (this.attrNames.push(s), this.attr[s] = this.complexity);
+        }
+    }), t.mfrac.Augment({
+        getComplexity: function() {
+            return null == this.complexity && (this.SUPER(arguments).getComplexity.call(this), 
+            this.complexity *= a.SCRIPT, this.complexity += a.FRACTION, this.attr[s] = this.complexity), 
+            this.complexity;
+        }
+    }), t.msqrt.Augment({
+        getComplexity: function() {
+            return null == this.complexity && (this.SUPER(arguments).getComplexity.call(this), 
+            this.complexity += a.SQRT, this.attr[s] = this.complexity), this.complexity;
+        }
+    }), t.mroot.Augment({
+        getComplexity: function() {
+            return null == this.complexity && (this.SUPER(arguments).getComplexity.call(this), 
+            this.complexity -= (1 - a.SCRIPT) * this.data[1].getComplexity(), this.complexity += a.SQRT, 
+            this.attr[s] = this.complexity), this.complexity;
+        }
+    }), t.msubsup.Augment({
+        getComplexity: function() {
+            var t;
+            return null == this.complexity && (t = 0, this.data[this.sub] && (t = this.data[this.sub].getComplexity() + a.CHILD), 
+            this.data[this.sup] && (t = Math.max(this.data[this.sup].getComplexity(), t)), t *= a.SCRIPT, 
+            this.data[this.sub] && (t += a.CHILD), this.data[this.sup] && (t += a.CHILD), this.data[this.base] && (t += this.data[this.base].getComplexity() + a.CHILD), 
+            this.complexity = t + a.SUBSUP, this.reportComplexity()), this.complexity;
+        }
+    }), t.munderover.Augment({
+        getComplexity: function() {
+            var t;
+            return null == this.complexity && (t = 0, this.data[this.sub] && (t = this.data[this.sub].getComplexity() + a.CHILD), 
+            this.data[this.sup] && (t = Math.max(this.data[this.sup].getComplexity(), t)), t *= a.SCRIPT, 
+            this.data[this.base] && (t = Math.max(this.data[this.base].getComplexity(), t)), 
+            this.data[this.sub] && (t += a.CHILD), this.data[this.sup] && (t += a.CHILD), this.data[this.base] && (t += a.CHILD), 
+            this.complexity = t + a.UNDEROVER, this.reportComplexity()), this.complexity;
+        }
+    }), t.mphantom.Augment({
+        getComplexity: function() {
+            return this.complexity = a.PHANTOM, this.reportComplexity(), this.complexity;
+        }
+    }), t.ms.Augment({
+        getComplexity: function() {
+            return this.SUPER(arguments).getComplexity.call(this), this.complexity += this.Get("lquote").length * a.TEXT, 
+            this.complexity += this.Get("rquote").length * a.TEXT, this.attr[s] = this.complexity, 
+            this.complexity;
+        }
+    }), t.menclose.Augment({
+        getComplexity: function() {
+            return null == this.complexity && (this.SUPER(arguments).getComplexity.call(this), 
+            this.complexity += a.ACTION, this.attr[s] = this.complexity), this.complexity;
+        }
+    }), t.maction.Augment({
+        getComplexity: function() {
+            return this.complexity = (this.collapsible ? this.data[0] : this.selected()).getComplexity(), 
+            this.reportComplexity(), this.complexity;
+        }
+    }), t.semantics.Augment({
+        getComplexity: function() {
+            return null == this.complexity && (this.complexity = this.data[0] ? this.data[0].getComplexity() : 0, 
+            this.reportComplexity()), this.complexity;
+        }
+    }), t["annotation-xml"].Augment({
+        getComplexity: function() {
+            return this.complexity = a.XML, this.reportComplexity(), this.complexity;
+        }
+    }), t.annotation.Augment({
+        getComplexity: function() {
+            return this.complexity = a.XML, this.reportComplexity(), this.complexity;
+        }
+    }), t.mglyph.Augment({
+        getComplexity: function() {
+            return this.complexity = a.GLYPH, this.reportComplexity(), this.complexity;
+        }
+    }), MathJax.Hub.Startup.signal.Post("Collapsible Ready"), MathJax.Ajax.loadComplete("[a11y]/collapsible.js");
+});
\ No newline at end of file
diff --git a/unpacked/extensions/a11y/explorer.js b/unpacked/extensions/a11y/explorer.js
index 5478cce7af..6e2bf342e3 100644
--- a/unpacked/extensions/a11y/explorer.js
+++ b/unpacked/extensions/a11y/explorer.js
@@ -1 +1,417 @@
-MathJax.Hub.Register.StartupHook("Sre Ready",function(){var a,b,c=MathJax.Hub.config.menuSettings,d={};MathJax.Hub.Register.StartupHook("MathEvents Ready",function(){a=MathJax.Extension.MathEvents.Event.False,b=MathJax.Extension.MathEvents.Event.KEY});var e=MathJax.Extension.explorer={version:"1.5.0",dependents:[],defaults:{walker:"table",highlight:"none",background:"blue",foreground:"black",speech:!0,generation:"lazy",subtitle:!1,ruleset:"mathspeak-default"},eagerComplexity:80,prefix:"Assistive-",hook:null,locHook:null,oldrules:null,addMenuOption:function(a,b){c[e.prefix+a]=b},addDefaults:function(){for(var a,b=MathJax.Hub.CombineConfig("explorer",e.defaults),d=Object.keys(b),f=0;a=d[f];f++)void 0===c[e.prefix+a]&&e.addMenuOption(a,b[a]);e.setSpeechOption(),h.Reset()},setOption:function(a,b){c[e.prefix+a]!==b&&(e.addMenuOption(a,b),h.Reset())},getOption:function(a){return c[e.prefix+a]},speechOption:function(a){e.oldrules!==a.value&&(e.setSpeechOption(),h.Regenerate())},setSpeechOption:function(){var a=c[e.prefix+"ruleset"],b=a.split("-");sre.System.getInstance().setupEngine({locale:MathJax.Localization.locale,domain:e.Domain(b[0]),style:b[1],rules:e.RuleSet(b[0])}),e.oldrules=a},Domain:function(a){switch(a){case"chromevox":return"default";case"mathspeak":default:return"mathspeak"}},RuleSet:function(a){switch(a){case"chromevox":return["AbstractionRules","SemanticTreeRules"];case"mathspeak":default:return["AbstractionRules","AbstractionSpanish","MathspeakRules","MathspeakSpanish"]}},hook:null,locHook:null,Enable:function(a,b){c.explorer=!0,b&&(d.explorer=!0),MathJax.Extension.collapsible.Enable(!1,b),MathJax.Extension.AssistiveMML&&(MathJax.Extension.AssistiveMML.config.disabled=!0,c.assistiveMML=!1,b&&(d.assistiveMML=!1)),this.DisableMenus(!1),this.hook||(this.hook=MathJax.Hub.Register.MessageHook("New Math",["Register",this.Explorer])),this.locHook||(this.locHook=MathJax.Hub.Register.MessageHook("Locale Reset",["RemoveSpeech",this.Explorer])),a&&MathJax.Hub.Queue(["Reprocess",MathJax.Hub])},Disable:function(a,b){c.explorer=!1,b&&(d.explorer=!1),this.DisableMenus(!0),this.hook&&(MathJax.Hub.UnRegister.MessageHook(this.hook),this.hook=null);for(var e=this.dependents.length-1;e>=0;e--){var f=this.dependents[e];f.Disable&&f.Disable(!1,b)}},DisableMenus:function(a){if(MathJax.Menu){var b=MathJax.Menu.menu.FindId("Accessibility","Explorer");if(b){b=b.submenu;for(var d,f=b.items,g=2;d=f[g];g++)d.disabled=a;a||!b.FindId("SpeechOutput")||c[e.prefix+"speech"]||(b.FindId("Subtitles").disabled=!0)}}},Dependent:function(a){this.dependents.push(a)}},f=MathJax.Object.Subclass({div:null,inner:null,Init:function(){this.div=f.Create("assertive"),this.inner=MathJax.HTML.addElement(this.div,"div")},Add:function(){f.added||(document.body.appendChild(this.div),f.added=!0)},Show:function(a,b){this.div.classList.add("MJX_LiveRegion_Show");var c=a.getBoundingClientRect(),d=c.bottom+10+window.pageYOffset,e=c.left+window.pageXOffset;this.div.style.top=d+"px",this.div.style.left=e+"px";var f=b.colorString();this.inner.style.backgroundColor=f.background,this.inner.style.color=f.foreground},Hide:function(a){this.div.classList.remove("MJX_LiveRegion_Show")},Clear:function(){this.Update(""),this.inner.style.top="",this.inner.style.backgroundColor=""},Update:function(a){e.getOption("speech")&&f.Update(this.inner,a)}},{ANNOUNCE:"Navigatable Math in page. Explore with shift space and arrow keys. Expand or collapse elements hitting enter.",announced:!1,added:!1,styles:{".MJX_LiveRegion":{position:"absolute",top:"0",height:"1px",width:"1px",padding:"1px",overflow:"hidden"},".MJX_LiveRegion_Show":{top:"0",position:"absolute",width:"auto",height:"auto",padding:"0px 0px",opacity:1,"z-index":"202",left:0,right:0,margin:"0 auto","background-color":"white","box-shadow":"0px 10px 20px #888",border:"2px solid #CCCCCC"}},Create:function(a){var b=MathJax.HTML.Element("div",{className:"MJX_LiveRegion"});return b.setAttribute("aria-live",a),b},Update:MathJax.Hub.Browser.isPC?function(a,b){a.textContent="",setTimeout(function(){a.textContent=b},100)}:function(a,b){a.textContent="",a.textContent=b},Announce:function(){if(e.getOption("speech")){f.announced=!0,MathJax.Ajax.Styles(f.styles);var a=f.Create("polite");document.body.appendChild(a),f.Update(a,f.ANNOUNCE),setTimeout(function(){document.body.removeChild(a)},1e3)}}});MathJax.Extension.explorer.LiveRegion=f;var g=MathJax.Ajax.fileURL(MathJax.Ajax.config.path.a11y),h=MathJax.Extension.explorer.Explorer={liveRegion:f(),walker:null,highlighter:null,hoverer:null,flamer:null,speechDiv:null,earconFile:g+"/invalid_keypress"+(-1!==["Firefox","Chrome","Opera"].indexOf(MathJax.Hub.Browser.name)?".ogg":".mp3"),expanded:!1,focusoutEvent:MathJax.Hub.Browser.isFirefox?"blur":"focusout",focusinEvent:"focus",ignoreFocusOut:!1,jaxCache:{},messageID:null,Reset:function(){h.FlameEnriched()},Register:function(a){if(e.hook){var b=document.getElementById(a[1]);if(b&&b.id){var c=MathJax.Hub.getJaxFor(b.id);c&&c.enriched&&(h.StateChange(b.id,c),h.liveRegion.Add(),h.AddEvent(b))}}},StateChange:function(a,b){h.GetHighlighter(.2);var c=h.jaxCache[a];c&&c===b.root||(c&&h.highlighter.resetState(a+"-Frame"),h.jaxCache[a]=b.root)},AddAria:function(a){a.setAttribute("role","application"),a.setAttribute("aria-label","Math")},AddHook:function(a){h.RemoveHook(),h.hook=MathJax.Hub.Register.MessageHook("End Math",function(b){var c=b[1].id+"-Frame",d=document.getElementById(c);a&&c===h.expanded&&(h.ActivateWalker(d,a),d.focus(),h.expanded=!1)})},RemoveHook:function(){h.hook&&(MathJax.Hub.UnRegister.MessageHook(h.hook),h.hook=null)},AddMessage:function(){return MathJax.Message.Set("Generating Speech Output")},RemoveMessage:function(a){a&&MathJax.Message.Clear(a)},AddEvent:function(a){var b=a.id+"-Frame",c=a.previousSibling;if(c){var d=c.id!==b?c.firstElementChild:c;h.AddAria(d),h.AddMouseEvents(d),"MathJax_MathML"===d.className&&(d=d.firstElementChild),d&&(d.onkeydown=h.Keydown,h.Flame(d),d.addEventListener(h.focusinEvent,function(a){e.hook&&(f.announced||f.Announce())}),d.addEventListener(h.focusoutEvent,function(a){if(e.hook)return h.ignoreFocusOut&&(h.ignoreFocusOut=!1,"enter"===h.walker.moved)?void a.target.focus():void(h.walker&&h.DeactivateWalker())}),e.getOption("speech")&&h.AddSpeech(d))}},AddSpeech:function(a){var b=a.id,c=MathJax.Hub.getJaxFor(b),d=c.root.toMathML();if(a.getAttribute("haslabel")||h.AddMathLabel(d,b),!a.getAttribute("hasspeech"))switch(MathJax.Hub.config.explorer.generation){case"eager":h.AddSpeechEager(d,b);break;case"mixed":a.querySelectorAll("[data-semantic-complexity]").length>=e.eagerComplexity&&h.AddSpeechEager(d,b)}},AddSpeechLazy:function(a){var b=new sre.TreeSpeechGenerator;b.setRebuilt(h.walker.rebuilt),b.getSpeech(h.walker.rootNode,h.walker.xml),a.setAttribute("hasspeech","true")},AddSpeechEager:function(a,b){h.MakeSpeechTask(a,b,sre.TreeSpeechGenerator,function(a,b){a.setAttribute("hasspeech","true")},5)},AddMathLabel:function(a,b){h.MakeSpeechTask(a,b,sre.SummarySpeechGenerator,function(a,b){a.setAttribute("haslabel","true"),a.setAttribute("aria-label",b)},5)},MakeSpeechTask:function(a,b,c,d,e){var f=h.AddMessage();setTimeout(function(){var e=new c,g=document.getElementById(b),i=new sre.DummyWalker(g,e,h.highlighter,a),j=i.speech();j&&d(g,j),h.RemoveMessage(f)},e)},Keydown:function(c){if(c.keyCode===b.ESCAPE){if(!h.walker)return;return h.RemoveHook(),h.DeactivateWalker(),void a(c)}if(h.walker&&h.walker.isActive()){void 0!==h.walker.modifier&&(h.walker.modifier=c.shiftKey);var d=h.walker.move(c.keyCode);if(null===d)return;if(d){if("expand"===h.walker.moved){if(h.expanded=h.walker.node.id,MathJax.Hub.Browser.isEdge)return h.ignoreFocusOut=!0,void h.DeactivateWalker();if(MathJax.Hub.Browser.isFirefox||MathJax.Hub.Browser.isMSIE)return void h.DeactivateWalker()}h.liveRegion.Update(h.walker.speech()),h.Highlight()}else h.PlayEarcon();return void a(c)}var f=c.target;if(c.keyCode===b.SPACE){if(c.shiftKey&&e.hook){var g=MathJax.Hub.getJaxFor(f);h.ActivateWalker(f,g),h.AddHook(g)}else MathJax.Extension.MathEvents.Event.ContextMenu(c,f);return void a(c)}},GetHighlighter:function(a){h.highlighter=sre.HighlighterFactory.highlighter({color:e.getOption("background"),alpha:a},{color:e.getOption("foreground"),alpha:1},{renderer:MathJax.Hub.outputJax["jax/mml"][0].id,browser:MathJax.Hub.Browser.name})},AddMouseEvents:function(a){sre.HighlighterFactory.addEvents(a,{mouseover:h.MouseOver,mouseout:h.MouseOut},{renderer:MathJax.Hub.outputJax["jax/mml"][0].id,browser:MathJax.Hub.Browser.name})},MouseOver:function(b){if("none"!==e.getOption("highlight")){if("hover"===e.getOption("highlight")){var c=b.currentTarget;h.GetHighlighter(.1),h.highlighter.highlight([c]),h.hoverer=!0}a(b)}},MouseOut:function(b){return h.hoverer&&(h.highlighter.unhighlight(),h.hoverer=!1),a(b)},Flame:function(a){if("flame"===e.getOption("highlight"))return h.GetHighlighter(.05),h.highlighter.highlightAll(a),void(h.flamer=!0)},UnFlame:function(){h.flamer&&(h.highlighter.unhighlightAll(),h.flamer=null)},FlameEnriched:function(){h.UnFlame();for(var a,b=0,c=MathJax.Hub.getAllJax();a=c[b];b++)h.Flame(a.SourceElement().previousSibling)},Walkers:{syntactic:sre.SyntaxWalker,table:sre.TableWalker,semantic:sre.SemanticWalker,none:sre.DummyWalker},ActivateWalker:function(a,b){var c=e.getOption("speech"),d=e.getOption("walker")?h.Walkers[MathJax.Hub.config.explorer.walker]:h.Walkers.none,f=c?new sre.DirectSpeechGenerator:new sre.DummySpeechGenerator;h.GetHighlighter(.2),h.walker=new d(a,f,h.highlighter,b.root.toMathML()),c&&!a.getAttribute("hasspeech")&&h.AddSpeechLazy(a),h.walker.activate(),c&&(e.getOption("subtitle")&&h.liveRegion.Show(a,h.highlighter),h.liveRegion.Update(h.walker.speech())),h.Highlight(),h.ignoreFocusOut&&setTimeout(function(){h.ignoreFocusOut=!1},500)},DeactivateWalker:function(){h.liveRegion.Clear(),h.liveRegion.Hide(),h.Unhighlight(),h.currentHighlight=null,h.walker.deactivate(),h.walker=null},Highlight:function(){h.Unhighlight(),h.highlighter.highlight(h.walker.getFocus().getNodes())},Unhighlight:function(){h.highlighter.unhighlight()},PlayEarcon:function(){new Audio(h.earconFile).play()},SpeechOutput:function(){h.Reset(),["Subtitles"].forEach(function(a){var b=MathJax.Menu.menu.FindId("Accessibility","Explorer",a);b&&(b.disabled=!b.disabled)}),h.Regenerate()},RemoveSpeech:function(){e.setSpeechOption();for(var a,b=0,c=MathJax.Hub.getAllJax();a=c[b];b++){var d=document.getElementById(a.inputID+"-Frame");d&&(d.removeAttribute("hasspeech"),d.removeAttribute("haslabel"))}},Regenerate:function(){for(var a,b=0,c=MathJax.Hub.getAllJax();a=c[b];b++){var d=document.getElementById(a.inputID+"-Frame");d&&(d.removeAttribute("hasspeech"),h.AddSpeech(d))}},Startup:function(){var a=MathJax.Extension.collapsible;a&&a.Dependent(e),e.addDefaults()}};MathJax.Hub.Register.StartupHook("End Extensions",function(){e[!1===c.explorer?"Disable":"Enable"](),MathJax.Hub.Startup.signal.Post("Explorer Ready"),MathJax.Hub.Register.StartupHook("MathMenu Ready",function(){d=MathJax.Menu.cookie;var a,b=function(a){e[c.explorer?"Enable":"Disable"](!0,!0),MathJax.Menu.saveCookie()},f=MathJax.Menu.ITEM,g=MathJax.Menu.menu,i={action:h.Reset},j={action:e.speechOption},k=f.SUBMENU(["Explorer","Explorer"],f.CHECKBOX(["Active","Active"],"explorer",{action:b}),f.RULE(),f.CHECKBOX(["Walker","Walker"],"Assistive-walker"),f.SUBMENU(["Highlight","Highlight"],f.RADIO(["none","None"],"Assistive-highlight",i),f.RADIO(["hover","Hover"],"Assistive-highlight",i),f.RADIO(["flame","Flame"],"Assistive-highlight",i)),f.SUBMENU(["Background","Background"],f.RADIO(["blue","Blue"],"Assistive-background",i),f.RADIO(["red","Red"],"Assistive-background",i),f.RADIO(["green","Green"],"Assistive-background",i),f.RADIO(["yellow","Yellow"],"Assistive-background",i),f.RADIO(["cyan","Cyan"],"Assistive-background",i),f.RADIO(["magenta","Magenta"],"Assistive-background",i),f.RADIO(["white","White"],"Assistive-background",i),f.RADIO(["black","Black"],"Assistive-background",i)),f.SUBMENU(["Foreground","Foreground"],f.RADIO(["black","Black"],"Assistive-foreground",i),f.RADIO(["white","White"],"Assistive-foreground",i),f.RADIO(["magenta","Magenta"],"Assistive-foreground",i),f.RADIO(["cyan","Cyan"],"Assistive-foreground",i),f.RADIO(["yellow","Yellow"],"Assistive-foreground",i),f.RADIO(["green","Green"],"Assistive-foreground",i),f.RADIO(["red","Red"],"Assistive-foreground",i),f.RADIO(["blue","Blue"],"Assistive-foreground",i)),f.RULE(),f.CHECKBOX(["SpeechOutput","Speech Output"],"Assistive-speech",{action:h.SpeechOutput}),f.CHECKBOX(["Subtitles","Subtitles"],"Assistive-subtitle",{disabled:!c["Assistive-speech"]}),f.RULE(),f.SUBMENU(["Mathspeak","Mathspeak Rules"],f.RADIO(["mathspeak-default","Verbose"],"Assistive-ruleset",j),f.RADIO(["mathspeak-brief","Brief"],"Assistive-ruleset",j),f.RADIO(["mathspeak-sbrief","Superbrief"],"Assistive-ruleset",j)),f.SUBMENU(["Chromevox","ChromeVox Rules"],f.RADIO(["chromevox-default","Verbose"],"Assistive-ruleset",j),f.RADIO(["chromevox-short","Short"],"Assistive-ruleset",j),f.RADIO(["chromevox-alternative","Alternative"],"Assistive-ruleset",j))),l=(g.FindId("Accessibility")||{}).submenu;l?(a=l.IndexOfId("Explorer"),null!==a?l.items[a]=k:(a=l.IndexOfId("CollapsibleMath"),l.items.splice(a+1,0,k))):(a=g.IndexOfId("CollapsibleMath"),g.items.splice(a+1,0,k)),c.explorer||e.DisableMenus(!0)},20)},20)}),MathJax.Hub.Register.StartupHook("SVG Jax Ready",function(){MathJax.Hub.Config({SVG:{addMMLclasses:!0}});var a=MathJax.OutputJax.SVG;if(parseFloat(a.version)<2.7){var b=a.getJaxFromMath;a.Augment({getJaxFromMath:function(a){return a.parentNode.className.match(/MathJax_SVG_Display/)&&(a=a.parentNode),b.call(this,a)}})}}),MathJax.Ajax.config.path.a11y||(MathJax.Ajax.config.path.a11y=MathJax.Hub.config.root+"/extensions/a11y"),MathJax.Ajax.Require("[a11y]/collapsible.js"),MathJax.Hub.Register.StartupHook("Collapsible Ready",function(){MathJax.Extension.explorer.Explorer.Startup(),MathJax.Ajax.loadComplete("[a11y]/explorer.js")});
\ No newline at end of file
+MathJax.Hub.Register.StartupHook("Sre Ready", function() {
+    var o, r, s = MathJax.Hub.config.menuSettings, l = {};
+    MathJax.Hub.Register.StartupHook("MathEvents Ready", function() {
+        o = MathJax.Extension.MathEvents.Event.False, r = MathJax.Extension.MathEvents.Event.KEY;
+    });
+    var h = MathJax.Extension.explorer = {
+        version: "1.6.0",
+        dependents: [],
+        defaults: {
+            walker: "table",
+            highlight: "none",
+            background: "blue",
+            foreground: "black",
+            speech: !0,
+            generation: "lazy",
+            subtitle: !1,
+            ruleset: "mathspeak-default"
+        },
+        eagerComplexity: 80,
+        prefix: "Assistive-",
+        hook: null,
+        locHook: null,
+        oldrules: null,
+        addMenuOption: function(e, t) {
+            s[h.prefix + e] = t;
+        },
+        addDefaults: function() {
+            for (var e, t = MathJax.Hub.CombineConfig("explorer", h.defaults), a = Object.keys(t), i = 0; e = a[i]; i++) void 0 === s[h.prefix + e] && h.addMenuOption(e, t[e]);
+            h.setSpeechOption(), u.Reset();
+        },
+        setOption: function(e, t) {
+            s[h.prefix + e] !== t && (h.addMenuOption(e, t), u.Reset());
+        },
+        getOption: function(e) {
+            return s[h.prefix + e];
+        },
+        speechOption: function(e) {
+            h.oldrules !== e.value && (h.setSpeechOption(), u.Regenerate());
+        },
+        setSpeechOption: function() {
+            var e = s[h.prefix + "ruleset"], t = e.split("-");
+            sre.System.getInstance().setupEngine({
+                locale: MathJax.Localization.locale,
+                domain: h.Domain(t[0]),
+                style: t[1]
+            }), h.oldrules = e;
+        },
+        Domain: function(e) {
+            switch (e) {
+              case "chromevox":
+                return "default";
+
+              case "clearspeak":
+                return "clearspeak";
+
+              case "mathspeak":
+              default:
+                return "mathspeak";
+            }
+        },
+        Enable: function(e, t) {
+            s.explorer = !0, t && (l.explorer = !0), MathJax.Extension.collapsible.Enable(!1, t), 
+            MathJax.Extension.AssistiveMML && (MathJax.Extension.AssistiveMML.config.disabled = !0, 
+            s.assistiveMML = !1, t && (l.assistiveMML = !1)), this.DisableMenus(!1), this.hook || (this.hook = MathJax.Hub.Register.MessageHook("New Math", [ "Register", this.Explorer ])), 
+            this.locHook || (this.locHook = MathJax.Hub.Register.MessageHook("Locale Reset", [ "RemoveSpeech", this.Explorer ])), 
+            e && MathJax.Hub.Queue([ "Reprocess", MathJax.Hub ]);
+        },
+        Disable: function(e, t) {
+            s.explorer = !1, t && (l.explorer = !1), this.DisableMenus(!0), this.hook && (MathJax.Hub.UnRegister.MessageHook(this.hook), 
+            this.hook = null);
+            for (var a = this.dependents.length - 1; 0 <= a; a--) {
+                var i = this.dependents[a];
+                i.Disable && i.Disable(!1, t);
+            }
+        },
+        DisableMenus: function(e) {
+            if (MathJax.Menu) {
+                var t = MathJax.Menu.menu.FindId("Accessibility", "Explorer");
+                if (t) {
+                    for (var a, i = (t = t.submenu).items, n = 2; a = i[n]; n++) a.disabled = e;
+                    e || !t.FindId("SpeechOutput") || s[h.prefix + "speech"] || (t.FindId("Subtitles").disabled = !0);
+                }
+            }
+        },
+        Dependent: function(e) {
+            this.dependents.push(e);
+        }
+    }, n = MathJax.Object.Subclass({
+        div: null,
+        inner: null,
+        Init: function() {
+            this.div = n.Create("assertive"), this.inner = MathJax.HTML.addElement(this.div, "div");
+        },
+        Add: function() {
+            n.added || (document.body.appendChild(this.div), n.added = !0);
+        },
+        Show: function(e, t) {
+            this.div.classList.add("MJX_LiveRegion_Show");
+            var a = e.getBoundingClientRect(), i = a.bottom + 10 + window.pageYOffset, n = a.left + window.pageXOffset;
+            this.div.style.top = i + "px", this.div.style.left = n + "px";
+            var o = t.colorString();
+            this.inner.style.backgroundColor = o.background, this.inner.style.color = o.foreground;
+        },
+        Hide: function(e) {
+            this.div.classList.remove("MJX_LiveRegion_Show");
+        },
+        Clear: function() {
+            this.Update(""), this.inner.style.top = "", this.inner.style.backgroundColor = "";
+        },
+        Update: function(e) {
+            h.getOption("speech") && n.Update(this.inner, e);
+        }
+    }, {
+        ANNOUNCE: "Navigatable Math in page. Explore with enter or shift space and arrow keys. Expand or collapse elements hitting enter.",
+        announced: !1,
+        added: !1,
+        styles: {
+            ".MJX_LiveRegion": {
+                position: "absolute",
+                top: "0",
+                height: "1px",
+                width: "1px",
+                padding: "1px",
+                overflow: "hidden"
+            },
+            ".MJX_LiveRegion_Show": {
+                top: "0",
+                position: "absolute",
+                width: "auto",
+                height: "auto",
+                padding: "0px 0px",
+                opacity: 1,
+                "z-index": "202",
+                left: 0,
+                right: 0,
+                margin: "0 auto",
+                "background-color": "white",
+                "box-shadow": "0px 10px 20px #888",
+                border: "2px solid #CCCCCC"
+            }
+        },
+        Create: function(e) {
+            var t = MathJax.HTML.Element("div", {
+                className: "MJX_LiveRegion"
+            });
+            return t.setAttribute("aria-live", e), t;
+        },
+        Update: MathJax.Hub.Browser.isPC ? function(e, t) {
+            e.textContent = "", setTimeout(function() {
+                e.textContent = t;
+            }, 100);
+        } : function(e, t) {
+            e.textContent = "", e.textContent = t;
+        },
+        Announce: function() {
+            var e;
+            h.getOption("speech") && (n.announced = !0, MathJax.Ajax.Styles(n.styles), e = n.Create("polite"), 
+            document.body.appendChild(e), n.Update(e, n.ANNOUNCE), setTimeout(function() {
+                document.body.removeChild(e);
+            }, 1e3));
+        }
+    });
+    MathJax.Extension.explorer.LiveRegion = n;
+    var e = MathJax.Ajax.fileURL(MathJax.Ajax.config.path.a11y), u = MathJax.Extension.explorer.Explorer = {
+        liveRegion: n(),
+        walker: null,
+        highlighter: null,
+        hoverer: null,
+        flamer: null,
+        speechDiv: null,
+        earconFile: e + "/invalid_keypress" + (-1 !== [ "Firefox", "Chrome", "Opera" ].indexOf(MathJax.Hub.Browser.name) ? ".ogg" : ".mp3"),
+        expanded: !1,
+        focusoutEvent: MathJax.Hub.Browser.isFirefox ? "blur" : "focusout",
+        focusinEvent: "focus",
+        ignoreFocusOut: !1,
+        jaxCache: {},
+        messageID: null,
+        Reset: function() {
+            u.FlameEnriched();
+        },
+        Register: function(e) {
+            var t, a;
+            !h.hook || (t = document.getElementById(e[1])) && t.id && ((a = MathJax.Hub.getJaxFor(t.id)) && a.enriched && (u.StateChange(t.id, a), 
+            u.liveRegion.Add(), u.AddEvent(t)));
+        },
+        StateChange: function(e, t) {
+            u.GetHighlighter(.2);
+            var a = u.jaxCache[e];
+            a && a === t.root || (a && sre.Walker.resetState(e + "-Frame"), u.jaxCache[e] = t.root);
+        },
+        AddAria: function(e) {
+            e.setAttribute("role", "application"), e.setAttribute("aria-label", "Math");
+        },
+        AddHook: function(i) {
+            u.RemoveHook(), u.hook = MathJax.Hub.Register.MessageHook("End Math", function(e) {
+                var t = e[1].id + "-Frame", a = document.getElementById(t);
+                i && t === u.expanded && (u.ActivateWalker(a, i), a.focus(), u.expanded = !1);
+            });
+        },
+        RemoveHook: function() {
+            u.hook && (MathJax.Hub.UnRegister.MessageHook(u.hook), u.hook = null);
+        },
+        AddMessage: function() {
+            return MathJax.Message.Set("Generating Speech Output");
+        },
+        RemoveMessage: function(e) {
+            e && MathJax.Message.Clear(e);
+        },
+        AddEvent: function(e) {
+            var t, a = e.id + "-Frame", i = e.previousSibling;
+            i && (t = i.id !== a ? i.firstElementChild : i, u.AddAria(t), u.AddMouseEvents(t), 
+            "MathJax_MathML" === t.className && (t = t.firstElementChild), t && (t.onkeydown = u.Keydown, 
+            u.Flame(t), t.addEventListener(u.focusinEvent, function(e) {
+                h.hook && (n.announced || n.Announce());
+            }), t.addEventListener(u.focusoutEvent, function(e) {
+                h.hook && (u.ignoreFocusOut && (u.ignoreFocusOut = !1, "enter" === u.walker.moved) ? e.target.focus() : u.walker && u.DeactivateWalker());
+            }), h.getOption("speech") && u.AddSpeech(t)));
+        },
+        AddSpeech: function(e) {
+            var t = e.id, a = MathJax.Hub.getJaxFor(t).root.toMathML();
+            if (e.getAttribute("haslabel") || u.AddMathLabel(a, t), !e.getAttribute("hasspeech")) switch (MathJax.Hub.config.explorer.generation) {
+              case "eager":
+                u.AddSpeechEager(a, t);
+                break;
+
+              case "mixed":
+                e.querySelectorAll("[data-semantic-complexity]").length >= h.eagerComplexity && u.AddSpeechEager(a, t);
+            }
+        },
+        AddSpeechLazy: function(e) {
+            var t = new sre.TreeSpeechGenerator();
+            t.setRebuilt(u.walker.getRebuilt()), t.getSpeech(u.walker.rootNode, u.walker.getXml()), 
+            e.setAttribute("hasspeech", "true");
+        },
+        AddSpeechEager: function(e, t) {
+            u.MakeSpeechTask(e, t, sre.TreeSpeechGenerator, function(e, t) {
+                e.setAttribute("hasspeech", "true");
+            }, 5);
+        },
+        AddMathLabel: function(e, t) {
+            u.MakeSpeechTask(e, t, sre.SummarySpeechGenerator, function(e, t) {
+                e.setAttribute("haslabel", "true"), e.setAttribute("aria-label", t);
+            }, 5);
+        },
+        MakeSpeechTask: function(i, n, o, r, e) {
+            var s = u.AddMessage();
+            setTimeout(function() {
+                var e = new o(), t = document.getElementById(n), a = new sre.DummyWalker(t, e, u.highlighter, i).speech();
+                a && r(t, a), u.RemoveMessage(s);
+            }, e);
+        },
+        Keydown: function(e) {
+            var t = e.keyCode;
+            if (t === r.ESCAPE) {
+                if (!u.walker) return;
+                return u.RemoveHook(), u.DeactivateWalker(), void o(e);
+            }
+            if (u.walker && u.walker.isActive()) {
+                t = t === r.RETURN ? r.DASH : t, void 0 !== u.walker.modifier && (u.walker.modifier = e.shiftKey);
+                var a = u.walker.move(t);
+                if (null === a) return;
+                if (a) {
+                    if ("expand" === u.walker.moved) {
+                        if (u.expanded = u.walker.node.id, MathJax.Hub.Browser.isEdge) return u.ignoreFocusOut = !0, 
+                        void u.DeactivateWalker();
+                        if (MathJax.Hub.Browser.isFirefox || MathJax.Hub.Browser.isMSIE) return void u.DeactivateWalker();
+                    }
+                    u.liveRegion.Update(u.walker.speech()), u.Highlight();
+                } else u.PlayEarcon();
+                o(e);
+            } else {
+                var i = e.target;
+                if (t === r.SPACE && !e.shiftKey) return MathJax.Extension.MathEvents.Event.ContextMenu(e, i), 
+                void o(e);
+                if (h.hook && (t === r.RETURN || t === r.SPACE && e.shiftKey)) {
+                    var n = MathJax.Hub.getJaxFor(i);
+                    return u.ActivateWalker(i, n), u.AddHook(n), void o(e);
+                }
+            }
+        },
+        GetHighlighter: function(e) {
+            u.highlighter = sre.HighlighterFactory.highlighter({
+                color: h.getOption("background"),
+                alpha: e
+            }, {
+                color: h.getOption("foreground"),
+                alpha: 1
+            }, {
+                renderer: MathJax.Hub.outputJax["jax/mml"][0].id,
+                browser: MathJax.Hub.Browser.name
+            });
+        },
+        AddMouseEvents: function(e) {
+            sre.HighlighterFactory.addEvents(e, {
+                mouseover: u.MouseOver,
+                mouseout: u.MouseOut
+            }, {
+                renderer: MathJax.Hub.outputJax["jax/mml"][0].id,
+                browser: MathJax.Hub.Browser.name
+            });
+        },
+        MouseOver: function(e) {
+            var t;
+            "none" !== h.getOption("highlight") && ("hover" === h.getOption("highlight") && (t = e.currentTarget, 
+            u.GetHighlighter(.1), u.highlighter.highlight([ t ]), u.hoverer = !0), o(e));
+        },
+        MouseOut: function(e) {
+            return u.hoverer && (u.highlighter.unhighlight(), u.hoverer = !1), o(e);
+        },
+        Flame: function(e) {
+            if ("flame" === h.getOption("highlight")) return u.GetHighlighter(.05), u.highlighter.highlightAll(e), 
+            void (u.flamer = !0);
+        },
+        UnFlame: function() {
+            u.flamer && (u.highlighter.unhighlightAll(), u.flamer = null);
+        },
+        FlameEnriched: function() {
+            u.UnFlame();
+            for (var e, t = 0, a = MathJax.Hub.getAllJax(); e = a[t]; t++) u.Flame(e.SourceElement().previousSibling);
+        },
+        Walkers: {
+            syntactic: sre.SyntaxWalker,
+            table: sre.TableWalker,
+            semantic: sre.SemanticWalker,
+            none: sre.DummyWalker
+        },
+        ActivateWalker: function(e, t) {
+            var a = h.getOption("speech"), i = h.getOption("walker") ? u.Walkers[MathJax.Hub.config.explorer.walker] : u.Walkers.none, n = a ? new sre.DirectSpeechGenerator() : new sre.DummySpeechGenerator(), o = sre.System.getInstance().engineSetup();
+            n.setOptions({
+                locale: o.locale,
+                domain: o.domain,
+                style: o.style,
+                modality: "speech"
+            }), u.GetHighlighter(.2), u.walker = new i(e, n, u.highlighter, t.root.toMathML()), 
+            a && !e.getAttribute("hasspeech") && u.AddSpeechLazy(e), u.walker.activate(), a && (h.getOption("subtitle") && u.liveRegion.Show(e, u.highlighter), 
+            u.liveRegion.Update(u.walker.speech())), u.Highlight(), u.ignoreFocusOut && setTimeout(function() {
+                u.ignoreFocusOut = !1;
+            }, 500);
+        },
+        DeactivateWalker: function() {
+            var e = sre.System.getInstance().engineSetup(), t = "clearspeak" === e.domain ? "default" : e.style;
+            h.setOption("ruleset", e.domain + "-" + t), u.liveRegion.Clear(), u.liveRegion.Hide(), 
+            u.Unhighlight(), u.currentHighlight = null, u.walker.deactivate(), u.walker = null;
+        },
+        Highlight: function() {
+            u.Unhighlight(), u.highlighter.highlight(u.walker.getFocus().getNodes());
+        },
+        Unhighlight: function() {
+            u.highlighter.unhighlight();
+        },
+        PlayEarcon: function() {
+            new Audio(u.earconFile).play();
+        },
+        SpeechOutput: function() {
+            u.Reset();
+            [ "Subtitles" ].forEach(function(e) {
+                var t = MathJax.Menu.menu.FindId("Accessibility", "Explorer", e);
+                t && (t.disabled = !t.disabled);
+            }), u.Regenerate();
+        },
+        RemoveSpeech: function() {
+            h.setSpeechOption();
+            for (var e, t = 0, a = MathJax.Hub.getAllJax(); e = a[t]; t++) {
+                var i = document.getElementById(e.inputID + "-Frame");
+                i && (i.removeAttribute("hasspeech"), i.removeAttribute("haslabel"));
+            }
+        },
+        Regenerate: function() {
+            for (var e, t = 0, a = MathJax.Hub.getAllJax(); e = a[t]; t++) {
+                var i = document.getElementById(e.inputID + "-Frame");
+                i && (i.removeAttribute("hasspeech"), u.AddSpeech(i));
+            }
+        },
+        Startup: function() {
+            var e = MathJax.Extension.collapsible;
+            e && e.Dependent(h), h.addDefaults();
+        }
+    };
+    MathJax.Hub.Register.StartupHook("End Extensions", function() {
+        h[!1 === s.explorer ? "Disable" : "Enable"](), MathJax.Hub.Startup.signal.Post("Explorer Ready"), 
+        MathJax.Hub.Register.StartupHook("MathMenu Ready", function() {
+            l = MathJax.Menu.cookie;
+            var e, t = MathJax.Menu.ITEM, a = MathJax.Menu.menu, i = {
+                action: u.Reset
+            }, n = {
+                action: h.speechOption
+            }, o = t.SUBMENU([ "Explorer", "Explorer" ], t.CHECKBOX([ "Active", "Active" ], "explorer", {
+                action: function(e) {
+                    h[s.explorer ? "Enable" : "Disable"](!0, !0), MathJax.Menu.saveCookie();
+                }
+            }), t.RULE(), t.CHECKBOX([ "Walker", "Walker" ], "Assistive-walker"), t.SUBMENU([ "Highlight", "Highlight" ], t.RADIO([ "none", "None" ], "Assistive-highlight", i), t.RADIO([ "hover", "Hover" ], "Assistive-highlight", i), t.RADIO([ "flame", "Flame" ], "Assistive-highlight", i)), t.SUBMENU([ "Background", "Background" ], t.RADIO([ "blue", "Blue" ], "Assistive-background", i), t.RADIO([ "red", "Red" ], "Assistive-background", i), t.RADIO([ "green", "Green" ], "Assistive-background", i), t.RADIO([ "yellow", "Yellow" ], "Assistive-background", i), t.RADIO([ "cyan", "Cyan" ], "Assistive-background", i), t.RADIO([ "magenta", "Magenta" ], "Assistive-background", i), t.RADIO([ "white", "White" ], "Assistive-background", i), t.RADIO([ "black", "Black" ], "Assistive-background", i)), t.SUBMENU([ "Foreground", "Foreground" ], t.RADIO([ "black", "Black" ], "Assistive-foreground", i), t.RADIO([ "white", "White" ], "Assistive-foreground", i), t.RADIO([ "magenta", "Magenta" ], "Assistive-foreground", i), t.RADIO([ "cyan", "Cyan" ], "Assistive-foreground", i), t.RADIO([ "yellow", "Yellow" ], "Assistive-foreground", i), t.RADIO([ "green", "Green" ], "Assistive-foreground", i), t.RADIO([ "red", "Red" ], "Assistive-foreground", i), t.RADIO([ "blue", "Blue" ], "Assistive-foreground", i)), t.RULE(), t.CHECKBOX([ "SpeechOutput", "Speech Output" ], "Assistive-speech", {
+                action: u.SpeechOutput
+            }), t.CHECKBOX([ "Subtitles", "Subtitles" ], "Assistive-subtitle", {
+                disabled: !s["Assistive-speech"]
+            }), t.RULE(), t.SUBMENU([ "Mathspeak", "Mathspeak Rules" ], t.RADIO([ "mathspeak-default", "Verbose" ], "Assistive-ruleset", n), t.RADIO([ "mathspeak-brief", "Brief" ], "Assistive-ruleset", n), t.RADIO([ "mathspeak-sbrief", "Superbrief" ], "Assistive-ruleset", n)), t.RADIO([ "clearspeak-default", "Clearspeak Rules" ], "Assistive-ruleset", n), t.SUBMENU([ "Chromevox", "ChromeVox Rules" ], t.RADIO([ "chromevox-default", "Verbose" ], "Assistive-ruleset", n), t.RADIO([ "chromevox-alternative", "Alternative" ], "Assistive-ruleset", n))), r = (a.FindId("Accessibility") || {}).submenu;
+            r ? null !== (e = r.IndexOfId("Explorer")) ? r.items[e] = o : (e = r.IndexOfId("CollapsibleMath"), 
+            r.items.splice(e + 1, 0, o)) : (e = a.IndexOfId("CollapsibleMath"), a.items.splice(e + 1, 0, o)), 
+            s.explorer || h.DisableMenus(!0);
+        }, 20);
+    }, 20);
+}), MathJax.Hub.Register.StartupHook("SVG Jax Ready", function() {
+    MathJax.Hub.Config({
+        SVG: {
+            addMMLclasses: !0
+        }
+    });
+    var t, e = MathJax.OutputJax.SVG;
+    parseFloat(e.version) < 2.7 && (t = e.getJaxFromMath, e.Augment({
+        getJaxFromMath: function(e) {
+            return e.parentNode.className.match(/MathJax_SVG_Display/) && (e = e.parentNode), 
+            t.call(this, e);
+        }
+    }));
+}), MathJax.Ajax.config.path.a11y || (MathJax.Ajax.config.path.a11y = MathJax.Hub.config.root + "/extensions/a11y"), 
+MathJax.Ajax.Require("[a11y]/collapsible.js"), MathJax.Hub.Register.StartupHook("Collapsible Ready", function() {
+    MathJax.Extension.explorer.Explorer.Startup(), MathJax.Ajax.loadComplete("[a11y]/explorer.js");
+});
\ No newline at end of file
diff --git a/unpacked/extensions/a11y/invalid_keypress.ogg b/unpacked/extensions/a11y/invalid_keypress.ogg
old mode 100755
new mode 100644
diff --git a/unpacked/extensions/a11y/mathjax-sre.js b/unpacked/extensions/a11y/mathjax-sre.js
index 40a6151f26..ca250affb1 100644
--- a/unpacked/extensions/a11y/mathjax-sre.js
+++ b/unpacked/extensions/a11y/mathjax-sre.js
@@ -1,4 +1,4 @@
-// Copyright 2014-2018 Volker Sorge
+// Copyright 2014-2019 Volker Sorge
 //
 // Licensed under the Apache License, Version 2.0 (the "License");
 // you may not use this file except in compliance with the License.
@@ -11,138 +11,155 @@
 // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 // See the License for the specific language governing permissions and
 // limitations under the License.
-var $jscomp=$jscomp||{};$jscomp.scope={};$jscomp.ASSUME_ES5=!1;$jscomp.ASSUME_NO_NATIVE_MAP=!1;$jscomp.ASSUME_NO_NATIVE_SET=!1;$jscomp.defineProperty=$jscomp.ASSUME_ES5||"function"==typeof Object.defineProperties?Object.defineProperty:function(a,b,c){a!=Array.prototype&&a!=Object.prototype&&(a[b]=c.value)};$jscomp.getGlobal=function(a){return"undefined"!=typeof window&&window===a?a:"undefined"!=typeof global&&null!=global?global:a};$jscomp.global=$jscomp.getGlobal(this);$jscomp.SYMBOL_PREFIX="jscomp_symbol_";
-$jscomp.initSymbol=function(){$jscomp.initSymbol=function(){};$jscomp.global.Symbol||($jscomp.global.Symbol=$jscomp.Symbol)};$jscomp.Symbol=function(){var a=0;return function(b){return $jscomp.SYMBOL_PREFIX+(b||"")+a++}}();
-$jscomp.initSymbolIterator=function(){$jscomp.initSymbol();var a=$jscomp.global.Symbol.iterator;a||(a=$jscomp.global.Symbol.iterator=$jscomp.global.Symbol("iterator"));"function"!=typeof Array.prototype[a]&&$jscomp.defineProperty(Array.prototype,a,{configurable:!0,writable:!0,value:function(){return $jscomp.arrayIterator(this)}});$jscomp.initSymbolIterator=function(){}};$jscomp.arrayIterator=function(a){var b=0;return $jscomp.iteratorPrototype(function(){return b<a.length?{done:!1,value:a[b++]}:{done:!0}})};
-$jscomp.iteratorPrototype=function(a){$jscomp.initSymbolIterator();a={next:a};a[$jscomp.global.Symbol.iterator]=function(){return this};return a};$jscomp.iteratorFromArray=function(a,b){$jscomp.initSymbolIterator();a instanceof String&&(a+="");var c=0,d={next:function(){if(c<a.length){var e=c++;return{value:b(e,a[e]),done:!1}}d.next=function(){return{done:!0,value:void 0}};return d.next()}};d[Symbol.iterator]=function(){return d};return d};
-$jscomp.polyfill=function(a,b,c,d){if(b){c=$jscomp.global;a=a.split(".");for(d=0;d<a.length-1;d++){var e=a[d];e in c||(c[e]={});c=c[e]}a=a[a.length-1];d=c[a];b=b(d);b!=d&&null!=b&&$jscomp.defineProperty(c,a,{configurable:!0,writable:!0,value:b})}};
-$jscomp.checkStringArgs=function(a,b,c){if(null==a)throw new TypeError("The 'this' value for String.prototype."+c+" must not be null or undefined");if(b instanceof RegExp)throw new TypeError("First argument to String.prototype."+c+" must not be a regular expression");return a+""};$jscomp.findInternal=function(a,b,c){a instanceof String&&(a=String(a));for(var d=a.length,e=0;e<d;e++){var f=a[e];if(b.call(c,f,e,a))return{i:e,v:f}}return{i:-1,v:void 0}};var COMPILED=!0,goog=goog||{};goog.global=this;
-goog.isDef=function(a){return void 0!==a};goog.isString=function(a){return"string"==typeof a};goog.isBoolean=function(a){return"boolean"==typeof a};goog.isNumber=function(a){return"number"==typeof a};goog.exportPath_=function(a,b,c){a=a.split(".");c=c||goog.global;a[0]in c||"undefined"==typeof c.execScript||c.execScript("var "+a[0]);for(var d;a.length&&(d=a.shift());)!a.length&&goog.isDef(b)?c[d]=b:c=c[d]&&c[d]!==Object.prototype[d]?c[d]:c[d]={}};
-goog.define=function(a,b){if(!COMPILED){var c=goog.global.CLOSURE_UNCOMPILED_DEFINES,d=goog.global.CLOSURE_DEFINES;c&&void 0===c.nodeType&&Object.prototype.hasOwnProperty.call(c,a)?b=c[a]:d&&void 0===d.nodeType&&Object.prototype.hasOwnProperty.call(d,a)&&(b=d[a])}goog.exportPath_(a,b)};goog.DEBUG=!0;goog.LOCALE="en";goog.TRUSTED_SITE=!0;goog.STRICT_MODE_COMPATIBLE=!1;goog.DISALLOW_TEST_ONLY_CODE=COMPILED&&!goog.DEBUG;goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING=!1;
+/*
+
+ Copyright The Closure Library Authors.
+ SPDX-License-Identifier: Apache-2.0
+*/
+var $jscomp=$jscomp||{};$jscomp.scope={};$jscomp.arrayIteratorImpl=function(a){var b=0;return function(){return b<a.length?{done:!1,value:a[b++]}:{done:!0}}};$jscomp.arrayIterator=function(a){return{next:$jscomp.arrayIteratorImpl(a)}};$jscomp.makeIterator=function(a){var b="undefined"!=typeof Symbol&&Symbol.iterator&&a[Symbol.iterator];return b?b.call(a):$jscomp.arrayIterator(a)};$jscomp.arrayFromIterator=function(a){for(var b,c=[];!(b=a.next()).done;)c.push(b.value);return c};
+$jscomp.ASSUME_ES5=!1;$jscomp.ASSUME_NO_NATIVE_MAP=!1;$jscomp.ASSUME_NO_NATIVE_SET=!1;$jscomp.SIMPLE_FROUND_POLYFILL=!1;$jscomp.ISOLATE_POLYFILLS=!1;$jscomp.defineProperty=$jscomp.ASSUME_ES5||"function"==typeof Object.defineProperties?Object.defineProperty:function(a,b,c){if(a==Array.prototype||a==Object.prototype)return a;a[b]=c.value;return a};
+$jscomp.getGlobal=function(a){a=["object"==typeof globalThis&&globalThis,a,"object"==typeof window&&window,"object"==typeof self&&self,"object"==typeof global&&global];for(var b=0;b<a.length;++b){var c=a[b];if(c&&c.Math==Math)return c}throw Error("Cannot find global object");};$jscomp.global=$jscomp.getGlobal(this);$jscomp.IS_SYMBOL_NATIVE="function"===typeof Symbol&&"symbol"===typeof Symbol("x");$jscomp.TRUST_ES6_POLYFILLS=!$jscomp.ISOLATE_POLYFILLS||$jscomp.IS_SYMBOL_NATIVE;$jscomp.polyfills={};
+$jscomp.propertyToPolyfillSymbol={};$jscomp.POLYFILL_PREFIX="$jscp$";var $jscomp$lookupPolyfilledValue=function(a,b){var c=$jscomp.propertyToPolyfillSymbol[b];if(null==c)return a[b];c=a[c];return void 0!==c?c:a[b]};$jscomp.polyfill=function(a,b,c,d){b&&($jscomp.ISOLATE_POLYFILLS?$jscomp.polyfillIsolated(a,b,c,d):$jscomp.polyfillUnisolated(a,b,c,d))};
+$jscomp.polyfillUnisolated=function(a,b,c,d){c=$jscomp.global;a=a.split(".");for(d=0;d<a.length-1;d++){var e=a[d];if(!(e in c))return;c=c[e]}a=a[a.length-1];d=c[a];b=b(d);b!=d&&null!=b&&$jscomp.defineProperty(c,a,{configurable:!0,writable:!0,value:b})};
+$jscomp.polyfillIsolated=function(a,b,c,d){var e=a.split(".");a=1===e.length;d=e[0];d=!a&&d in $jscomp.polyfills?$jscomp.polyfills:$jscomp.global;for(var f=0;f<e.length-1;f++){var g=e[f];if(!(g in d))return;d=d[g]}e=e[e.length-1];c=$jscomp.IS_SYMBOL_NATIVE&&"es6"===c?d[e]:null;b=b(c);null!=b&&(a?$jscomp.defineProperty($jscomp.polyfills,e,{configurable:!0,writable:!0,value:b}):b!==c&&($jscomp.propertyToPolyfillSymbol[e]=$jscomp.IS_SYMBOL_NATIVE?$jscomp.global.Symbol(e):$jscomp.POLYFILL_PREFIX+e,e=
+$jscomp.propertyToPolyfillSymbol[e],$jscomp.defineProperty(d,e,{configurable:!0,writable:!0,value:b})))};$jscomp.initSymbol=function(){};
+$jscomp.polyfill("Symbol",function(a){if(a)return a;var b=function(e,f){this.$jscomp$symbol$id_=e;$jscomp.defineProperty(this,"description",{configurable:!0,writable:!0,value:f})};b.prototype.toString=function(){return this.$jscomp$symbol$id_};var c=0,d=function(e){if(this instanceof d)throw new TypeError("Symbol is not a constructor");return new b("jscomp_symbol_"+(e||"")+"_"+c++,e)};return d},"es6","es3");$jscomp.initSymbolIterator=function(){};
+$jscomp.polyfill("Symbol.iterator",function(a){if(a)return a;a=Symbol("Symbol.iterator");for(var b="Array Int8Array Uint8Array Uint8ClampedArray Int16Array Uint16Array Int32Array Uint32Array Float32Array Float64Array".split(" "),c=0;c<b.length;c++){var d=$jscomp.global[b[c]];"function"===typeof d&&"function"!=typeof d.prototype[a]&&$jscomp.defineProperty(d.prototype,a,{configurable:!0,writable:!0,value:function(){return $jscomp.iteratorPrototype($jscomp.arrayIteratorImpl(this))}})}return a},"es6",
+"es3");$jscomp.initSymbolAsyncIterator=function(){};$jscomp.iteratorPrototype=function(a){a={next:a};a[Symbol.iterator]=function(){return this};return a};$jscomp.iteratorFromArray=function(a,b){a instanceof String&&(a+="");var c=0,d={next:function(){if(c<a.length){var e=c++;return{value:b(e,a[e]),done:!1}}d.next=function(){return{done:!0,value:void 0}};return d.next()}};d[Symbol.iterator]=function(){return d};return d};
+$jscomp.polyfill("Array.prototype.keys",function(a){return a?a:function(){return $jscomp.iteratorFromArray(this,function(b){return b})}},"es6","es3");$jscomp.findInternal=function(a,b,c){a instanceof String&&(a=String(a));for(var d=a.length,e=0;e<d;e++){var f=a[e];if(b.call(c,f,e,a))return{i:e,v:f}}return{i:-1,v:void 0}};$jscomp.polyfill("Array.prototype.find",function(a){return a?a:function(b,c){return $jscomp.findInternal(this,b,c).v}},"es6","es3");
+$jscomp.checkStringArgs=function(a,b,c){if(null==a)throw new TypeError("The 'this' value for String.prototype."+c+" must not be null or undefined");if(b instanceof RegExp)throw new TypeError("First argument to String.prototype."+c+" must not be a regular expression");return a+""};
+$jscomp.polyfill("String.prototype.repeat",function(a){return a?a:function(b){var c=$jscomp.checkStringArgs(this,null,"repeat");if(0>b||1342177279<b)throw new RangeError("Invalid count value");b|=0;for(var d="";b;)if(b&1&&(d+=c),b>>>=1)c+=c;return d}},"es6","es3");var COMPILED=!0,goog=goog||{};goog.global=this||self;
+goog.exportPath_=function(a,b,c){a=a.split(".");c=c||goog.global;a[0]in c||"undefined"==typeof c.execScript||c.execScript("var "+a[0]);for(var d;a.length&&(d=a.shift());)a.length||void 0===b?c=c[d]&&c[d]!==Object.prototype[d]?c[d]:c[d]={}:c[d]=b};
+goog.define=function(a,b){if(!COMPILED){var c=goog.global.CLOSURE_UNCOMPILED_DEFINES,d=goog.global.CLOSURE_DEFINES;c&&void 0===c.nodeType&&Object.prototype.hasOwnProperty.call(c,a)?b=c[a]:d&&void 0===d.nodeType&&Object.prototype.hasOwnProperty.call(d,a)&&(b=d[a])}return b};goog.FEATURESET_YEAR=2012;goog.DEBUG=!0;goog.LOCALE="en";goog.TRUSTED_SITE=!0;goog.STRICT_MODE_COMPATIBLE=!1;goog.DISALLOW_TEST_ONLY_CODE=COMPILED&&!goog.DEBUG;goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING=!1;
 goog.provide=function(a){if(goog.isInModuleLoader_())throw Error("goog.provide cannot be used within a module.");if(!COMPILED&&goog.isProvided_(a))throw Error('Namespace "'+a+'" already declared.');goog.constructNamespace_(a)};goog.constructNamespace_=function(a,b){if(!COMPILED){delete goog.implicitNamespaces_[a];for(var c=a;(c=c.substring(0,c.lastIndexOf(".")))&&!goog.getObjectByName(c);)goog.implicitNamespaces_[c]=!0}goog.exportPath_(a,b)};
-goog.getScriptNonce=function(){null===goog.cspNonce_&&(goog.cspNonce_=goog.getScriptNonce_(goog.global.document)||"");return goog.cspNonce_};goog.NONCE_PATTERN_=/^[\w+/_-]+[=]{0,2}$/;goog.cspNonce_=null;goog.getScriptNonce_=function(a){return(a=a.querySelector("script[nonce]"))&&(a=a.nonce||a.getAttribute("nonce"))&&goog.NONCE_PATTERN_.test(a)?a:null};goog.VALID_MODULE_RE_=/^[a-zA-Z_$][a-zA-Z0-9._$]*$/;
-goog.module=function(a){if(!goog.isString(a)||!a||-1==a.search(goog.VALID_MODULE_RE_))throw Error("Invalid module identifier");if(!goog.isInGoogModuleLoader_())throw Error("Module "+a+" has been loaded incorrectly. Note, modules cannot be loaded as normal scripts. They require some kind of pre-processing step. You're likely trying to load a module via a script tag or as a part of a concatenated bundle without rewriting the module. For more info see: https://github.com/google/closure-library/wiki/goog.module:-an-ES6-module-like-alternative-to-goog.provide.");
-if(goog.moduleLoaderState_.moduleName)throw Error("goog.module may only be called once per module.");goog.moduleLoaderState_.moduleName=a;if(!COMPILED){if(goog.isProvided_(a))throw Error('Namespace "'+a+'" already declared.');delete goog.implicitNamespaces_[a]}};
-goog.module.get=function(a){if(!COMPILED&&a in goog.loadedModules_){if(goog.loadedModules_[a].type!=goog.ModuleType.GOOG)throw Error("Can only goog.module.get for goog.modules.");if(goog.loadedModules_[a].moduleId!=a)throw Error("Cannot goog.module.get by path.");}return goog.module.getInternal_(a)};goog.module.getInternal_=function(a){if(!COMPILED){if(a in goog.loadedModules_)return goog.loadedModules_[a].exports;if(!goog.implicitNamespaces_[a])return a=goog.getObjectByName(a),null!=a?a:null}return null};
-goog.ModuleType={ES6:"es6",GOOG:"goog"};goog.moduleLoaderState_=null;goog.isInModuleLoader_=function(){return goog.isInGoogModuleLoader_()||goog.isInEs6ModuleLoader_()};goog.isInGoogModuleLoader_=function(){return!!goog.moduleLoaderState_&&goog.moduleLoaderState_.type==goog.ModuleType.GOOG};
-goog.isInEs6ModuleLoader_=function(){if(goog.moduleLoaderState_&&goog.moduleLoaderState_.type==goog.ModuleType.ES6)return!0;var a=goog.global.$jscomp;return a?"function"!=typeof a.getCurrentModulePath?!1:!!a.getCurrentModulePath():!1};goog.getModulePath_=function(){return goog.moduleLoaderState_&&goog.moduleLoaderState_.path};
+goog.getScriptNonce=function(a){if(a&&a!=goog.global)return goog.getScriptNonce_(a.document);null===goog.cspNonce_&&(goog.cspNonce_=goog.getScriptNonce_(goog.global.document));return goog.cspNonce_};goog.NONCE_PATTERN_=/^[\w+/_-]+[=]{0,2}$/;goog.cspNonce_=null;goog.getScriptNonce_=function(a){return(a=a.querySelector&&a.querySelector("script[nonce]"))&&(a=a.nonce||a.getAttribute("nonce"))&&goog.NONCE_PATTERN_.test(a)?a:""};goog.VALID_MODULE_RE_=/^[a-zA-Z_$][a-zA-Z0-9._$]*$/;
+goog.module=function(a){if("string"!==typeof a||!a||-1==a.search(goog.VALID_MODULE_RE_))throw Error("Invalid module identifier");if(!goog.isInGoogModuleLoader_())throw Error("Module "+a+" has been loaded incorrectly. Note, modules cannot be loaded as normal scripts. They require some kind of pre-processing step. You're likely trying to load a module via a script tag or as a part of a concatenated bundle without rewriting the module. For more info see: https://github.com/google/closure-library/wiki/goog.module:-an-ES6-module-like-alternative-to-goog.provide.");
+if(goog.moduleLoaderState_.moduleName)throw Error("goog.module may only be called once per module.");goog.moduleLoaderState_.moduleName=a;if(!COMPILED){if(goog.isProvided_(a))throw Error('Namespace "'+a+'" already declared.');delete goog.implicitNamespaces_[a]}};goog.module.get=function(a){return goog.module.getInternal_(a)};
+goog.module.getInternal_=function(a){if(!COMPILED){if(a in goog.loadedModules_)return goog.loadedModules_[a].exports;if(!goog.implicitNamespaces_[a])return a=goog.getObjectByName(a),null!=a?a:null}return null};goog.ModuleType={ES6:"es6",GOOG:"goog"};goog.moduleLoaderState_=null;goog.isInModuleLoader_=function(){return goog.isInGoogModuleLoader_()||goog.isInEs6ModuleLoader_()};goog.isInGoogModuleLoader_=function(){return!!goog.moduleLoaderState_&&goog.moduleLoaderState_.type==goog.ModuleType.GOOG};
+goog.isInEs6ModuleLoader_=function(){if(goog.moduleLoaderState_&&goog.moduleLoaderState_.type==goog.ModuleType.ES6)return!0;var a=goog.global.$jscomp;return a?"function"!=typeof a.getCurrentModulePath?!1:!!a.getCurrentModulePath():!1};
 goog.module.declareLegacyNamespace=function(){if(!COMPILED&&!goog.isInGoogModuleLoader_())throw Error("goog.module.declareLegacyNamespace must be called from within a goog.module");if(!COMPILED&&!goog.moduleLoaderState_.moduleName)throw Error("goog.module must be called prior to goog.module.declareLegacyNamespace.");goog.moduleLoaderState_.declareLegacyNamespace=!0};
-goog.setTestOnly=function(a){if(goog.DISALLOW_TEST_ONLY_CODE)throw a=a||"",Error("Importing test-only code into non-debug environment"+(a?": "+a:"."));};goog.forwardDeclare=function(a){};COMPILED||(goog.isProvided_=function(a){return a in goog.loadedModules_||!goog.implicitNamespaces_[a]&&goog.isDefAndNotNull(goog.getObjectByName(a))},goog.implicitNamespaces_={"goog.module":!0});
-goog.getObjectByName=function(a,b){a=a.split(".");b=b||goog.global;for(var c=0;c<a.length;c++)if(b=b[a[c]],!goog.isDefAndNotNull(b))return null;return b};goog.globalize=function(a,b){b=b||goog.global;for(var c in a)b[c]=a[c]};goog.addDependency=function(a,b,c,d){!COMPILED&&goog.DEPENDENCIES_ENABLED&&goog.debugLoader_.addDependency(a,b,c,d)};goog.ENABLE_DEBUG_LOADER=!0;goog.logToConsole_=function(a){goog.global.console&&goog.global.console.error(a)};
-goog.isPath_=function(a){return 0==a.indexOf("./")||0==a.indexOf("../")};
-goog.require=function(a){if(goog.isPath_(a))if(goog.isInGoogModuleLoader_()){if(!goog.getModulePath_())throw Error("Current module has no path information. Was it loaded via goog.loadModule without a path argument?");a=goog.normalizePath_(goog.getModulePath_()+"/../"+a)}else throw Error("Cannot require by path outside of goog.modules.");if(!COMPILED){goog.ENABLE_DEBUG_LOADER&&goog.debugLoader_.requested(a);if(goog.isProvided_(a)){if(goog.isInModuleLoader_())return goog.module.getInternal_(a)}else if(goog.ENABLE_DEBUG_LOADER){var b=goog.moduleLoaderState_;
-goog.moduleLoaderState_=null;try{goog.debugLoader_.load_(a)}finally{goog.moduleLoaderState_=b}}return null}};goog.basePath="";goog.nullFunction=function(){};goog.abstractMethod=function(){throw Error("unimplemented abstract method");};goog.addSingletonGetter=function(a){a.instance_=void 0;a.getInstance=function(){if(a.instance_)return a.instance_;goog.DEBUG&&(goog.instantiatedSingletons_[goog.instantiatedSingletons_.length]=a);return a.instance_=new a}};goog.instantiatedSingletons_=[];
-goog.LOAD_MODULE_USING_EVAL=!0;goog.SEAL_MODULE_EXPORTS=goog.DEBUG;goog.loadedModules_={};goog.DEPENDENCIES_ENABLED=!COMPILED&&goog.ENABLE_DEBUG_LOADER;goog.TRANSPILE="detect";goog.TRANSPILER="transpile.js";goog.hasBadLetScoping=null;goog.useSafari10Workaround=function(){if(null==goog.hasBadLetScoping){try{var a=!eval('"use strict";let x = 1; function f() { return typeof x; };f() == "number";')}catch(b){a=!1}goog.hasBadLetScoping=a}return goog.hasBadLetScoping};
-goog.workaroundSafari10EvalBug=function(a){return"(function(){"+a+"\n;})();\n"};
-goog.loadModule=function(a,b){var c=goog.moduleLoaderState_;try{goog.moduleLoaderState_={moduleName:"",declareLegacyNamespace:!1,type:goog.ModuleType.GOOG,path:b};if(goog.isFunction(a))var d=a.call(void 0,{});else if(goog.isString(a))goog.useSafari10Workaround()&&(a=goog.workaroundSafari10EvalBug(a)),d=goog.loadModuleFromSource_.call(void 0,a);else throw Error("Invalid module definition");var e=goog.moduleLoaderState_.moduleName;if(goog.isString(e)&&e){goog.moduleLoaderState_.declareLegacyNamespace?
-goog.constructNamespace_(e,d):goog.SEAL_MODULE_EXPORTS&&Object.seal&&"object"==typeof d&&null!=d&&Object.seal(d);var f={exports:d,type:goog.ModuleType.GOOG,moduleId:goog.moduleLoaderState_.moduleName};goog.loadedModules_[e]=f;b&&(goog.loadedModules_[b]=f)}else throw Error('Invalid module name "'+e+'"');}finally{goog.moduleLoaderState_=c}};goog.loadModuleFromSource_=function(a){eval(a);return{}};
-goog.normalizePath_=function(a){a=a.split("/");for(var b=0;b<a.length;)"."==a[b]?a.splice(b,1):b&&".."==a[b]&&a[b-1]&&".."!=a[b-1]?a.splice(--b,2):b++;return a.join("/")};goog.loadFileSync_=function(a){if(goog.global.CLOSURE_LOAD_FILE_SYNC)return goog.global.CLOSURE_LOAD_FILE_SYNC(a);try{var b=new goog.global.XMLHttpRequest;b.open("get",a,!1);b.send();return 0==b.status||200==b.status?b.responseText:null}catch(c){return null}};
-goog.transpile_=function(a,b){var c=goog.global.$jscomp;c||(goog.global.$jscomp=c={});var d=c.transpile;if(!d){var e=goog.basePath+goog.TRANSPILER,f=goog.loadFileSync_(e);if(f){(function(){eval(f+"\n//# sourceURL="+e)}).call(goog.global);if(goog.global.$gwtExport&&goog.global.$gwtExport.$jscomp&&!goog.global.$gwtExport.$jscomp.transpile)throw Error('The transpiler did not properly export the "transpile" method. $gwtExport: '+JSON.stringify(goog.global.$gwtExport));goog.global.$jscomp.transpile=goog.global.$gwtExport.$jscomp.transpile;
-c=goog.global.$jscomp;d=c.transpile}}d||(d=c.transpile=function(a,b){goog.logToConsole_(b+" requires transpilation but no transpiler was found.");return a});return d(a,b)};
+goog.declareModuleId=function(a){if(!COMPILED){if(!goog.isInEs6ModuleLoader_())throw Error("goog.declareModuleId may only be called from within an ES6 module");if(goog.moduleLoaderState_&&goog.moduleLoaderState_.moduleName)throw Error("goog.declareModuleId may only be called once per module.");if(a in goog.loadedModules_)throw Error('Module with namespace "'+a+'" already exists.');}if(goog.moduleLoaderState_)goog.moduleLoaderState_.moduleName=a;else{var b=goog.global.$jscomp;if(!b||"function"!=typeof b.getCurrentModulePath)throw Error('Module with namespace "'+
+a+'" has been loaded incorrectly.');b=b.require(b.getCurrentModulePath());goog.loadedModules_[a]={exports:b,type:goog.ModuleType.ES6,moduleId:a}}};goog.setTestOnly=function(a){if(goog.DISALLOW_TEST_ONLY_CODE)throw a=a||"",Error("Importing test-only code into non-debug environment"+(a?": "+a:"."));};goog.forwardDeclare=function(a){};COMPILED||(goog.isProvided_=function(a){return a in goog.loadedModules_||!goog.implicitNamespaces_[a]&&null!=goog.getObjectByName(a)},goog.implicitNamespaces_={"goog.module":!0});
+goog.getObjectByName=function(a,b){a=a.split(".");b=b||goog.global;for(var c=0;c<a.length;c++)if(b=b[a[c]],null==b)return null;return b};goog.globalize=function(a,b){b=b||goog.global;for(var c in a)b[c]=a[c]};goog.addDependency=function(a,b,c,d){!COMPILED&&goog.DEPENDENCIES_ENABLED&&goog.debugLoader_.addDependency(a,b,c,d)};goog.ENABLE_DEBUG_LOADER=!0;goog.logToConsole_=function(a){goog.global.console&&goog.global.console.error(a)};
+goog.require=function(a){if(!COMPILED){goog.ENABLE_DEBUG_LOADER&&goog.debugLoader_.requested(a);if(goog.isProvided_(a)){if(goog.isInModuleLoader_())return goog.module.getInternal_(a)}else if(goog.ENABLE_DEBUG_LOADER){var b=goog.moduleLoaderState_;goog.moduleLoaderState_=null;try{goog.debugLoader_.load_(a)}finally{goog.moduleLoaderState_=b}}return null}};goog.requireType=function(a){return{}};goog.basePath="";goog.nullFunction=function(){};
+goog.abstractMethod=function(){throw Error("unimplemented abstract method");};goog.addSingletonGetter=function(a){a.instance_=void 0;a.getInstance=function(){if(a.instance_)return a.instance_;goog.DEBUG&&(goog.instantiatedSingletons_[goog.instantiatedSingletons_.length]=a);return a.instance_=new a}};goog.instantiatedSingletons_=[];goog.LOAD_MODULE_USING_EVAL=!0;goog.SEAL_MODULE_EXPORTS=goog.DEBUG;goog.loadedModules_={};goog.DEPENDENCIES_ENABLED=!COMPILED&&goog.ENABLE_DEBUG_LOADER;goog.TRANSPILE="detect";
+goog.ASSUME_ES_MODULES_TRANSPILED=!1;goog.TRANSPILE_TO_LANGUAGE="";goog.TRANSPILER="transpile.js";goog.hasBadLetScoping=null;goog.useSafari10Workaround=function(){if(null==goog.hasBadLetScoping){try{var a=!eval('"use strict";let x = 1; function f() { return typeof x; };f() == "number";')}catch(b){a=!1}goog.hasBadLetScoping=a}return goog.hasBadLetScoping};goog.workaroundSafari10EvalBug=function(a){return"(function(){"+a+"\n;})();\n"};
+goog.loadModule=function(a){var b=goog.moduleLoaderState_;try{goog.moduleLoaderState_={moduleName:"",declareLegacyNamespace:!1,type:goog.ModuleType.GOOG};if(goog.isFunction(a))var c=a.call(void 0,{});else if("string"===typeof a)goog.useSafari10Workaround()&&(a=goog.workaroundSafari10EvalBug(a)),c=goog.loadModuleFromSource_.call(void 0,a);else throw Error("Invalid module definition");var d=goog.moduleLoaderState_.moduleName;if("string"===typeof d&&d)goog.moduleLoaderState_.declareLegacyNamespace?goog.constructNamespace_(d,
+c):goog.SEAL_MODULE_EXPORTS&&Object.seal&&"object"==typeof c&&null!=c&&Object.seal(c),goog.loadedModules_[d]={exports:c,type:goog.ModuleType.GOOG,moduleId:goog.moduleLoaderState_.moduleName};else throw Error('Invalid module name "'+d+'"');}finally{goog.moduleLoaderState_=b}};goog.loadModuleFromSource_=function(a){eval(a);return{}};goog.normalizePath_=function(a){a=a.split("/");for(var b=0;b<a.length;)"."==a[b]?a.splice(b,1):b&&".."==a[b]&&a[b-1]&&".."!=a[b-1]?a.splice(--b,2):b++;return a.join("/")};
+goog.loadFileSync_=function(a){if(goog.global.CLOSURE_LOAD_FILE_SYNC)return goog.global.CLOSURE_LOAD_FILE_SYNC(a);try{var b=new goog.global.XMLHttpRequest;b.open("get",a,!1);b.send();return 0==b.status||200==b.status?b.responseText:null}catch(c){return null}};
+goog.transpile_=function(a,b,c){var d=goog.global.$jscomp;d||(goog.global.$jscomp=d={});var e=d.transpile;if(!e){var f=goog.basePath+goog.TRANSPILER,g=goog.loadFileSync_(f);if(g){(function(){(0,eval)(g+"\n//# sourceURL="+f)}).call(goog.global);if(goog.global.$gwtExport&&goog.global.$gwtExport.$jscomp&&!goog.global.$gwtExport.$jscomp.transpile)throw Error('The transpiler did not properly export the "transpile" method. $gwtExport: '+JSON.stringify(goog.global.$gwtExport));goog.global.$jscomp.transpile=
+goog.global.$gwtExport.$jscomp.transpile;d=goog.global.$jscomp;e=d.transpile}}e||(e=d.transpile=function(h,k){goog.logToConsole_(k+" requires transpilation but no transpiler was found.");return h});return e(a,b,c)};
 goog.typeOf=function(a){var b=typeof a;if("object"==b)if(a){if(a instanceof Array)return"array";if(a instanceof Object)return b;var c=Object.prototype.toString.call(a);if("[object Window]"==c)return"object";if("[object Array]"==c||"number"==typeof a.length&&"undefined"!=typeof a.splice&&"undefined"!=typeof a.propertyIsEnumerable&&!a.propertyIsEnumerable("splice"))return"array";if("[object Function]"==c||"undefined"!=typeof a.call&&"undefined"!=typeof a.propertyIsEnumerable&&!a.propertyIsEnumerable("call"))return"function"}else return"null";
-else if("function"==b&&"undefined"==typeof a.call)return"object";return b};goog.isNull=function(a){return null===a};goog.isDefAndNotNull=function(a){return null!=a};goog.isArray=function(a){return"array"==goog.typeOf(a)};goog.isArrayLike=function(a){var b=goog.typeOf(a);return"array"==b||"object"==b&&"number"==typeof a.length};goog.isDateLike=function(a){return goog.isObject(a)&&"function"==typeof a.getFullYear};goog.isFunction=function(a){return"function"==goog.typeOf(a)};
-goog.isObject=function(a){var b=typeof a;return"object"==b&&null!=a||"function"==b};goog.getUid=function(a){return a[goog.UID_PROPERTY_]||(a[goog.UID_PROPERTY_]=++goog.uidCounter_)};goog.hasUid=function(a){return!!a[goog.UID_PROPERTY_]};goog.removeUid=function(a){null!==a&&"removeAttribute"in a&&a.removeAttribute(goog.UID_PROPERTY_);try{delete a[goog.UID_PROPERTY_]}catch(b){}};goog.UID_PROPERTY_="closure_uid_"+(1E9*Math.random()>>>0);goog.uidCounter_=0;goog.getHashCode=goog.getUid;
-goog.removeHashCode=goog.removeUid;goog.cloneObject=function(a){var b=goog.typeOf(a);if("object"==b||"array"==b){if("function"===typeof a.clone)return a.clone();b="array"==b?[]:{};for(var c in a)b[c]=goog.cloneObject(a[c]);return b}return a};goog.bindNative_=function(a,b,c){return a.call.apply(a.bind,arguments)};
-goog.bindJs_=function(a,b,c){if(!a)throw Error();if(2<arguments.length){var d=Array.prototype.slice.call(arguments,2);return function(){var c=Array.prototype.slice.call(arguments);Array.prototype.unshift.apply(c,d);return a.apply(b,c)}}return function(){return a.apply(b,arguments)}};goog.bind=function(a,b,c){Function.prototype.bind&&-1!=Function.prototype.bind.toString().indexOf("native code")?goog.bind=goog.bindNative_:goog.bind=goog.bindJs_;return goog.bind.apply(null,arguments)};
-goog.partial=function(a,b){var c=Array.prototype.slice.call(arguments,1);return function(){var b=c.slice();b.push.apply(b,arguments);return a.apply(this,b)}};goog.mixin=function(a,b){for(var c in b)a[c]=b[c]};goog.now=goog.TRUSTED_SITE&&Date.now||function(){return+new Date};
-goog.globalEval=function(a){if(goog.global.execScript)goog.global.execScript(a,"JavaScript");else if(goog.global.eval){if(null==goog.evalWorksForGlobals_){try{goog.global.eval("var _evalTest_ = 1;")}catch(d){}if("undefined"!=typeof goog.global._evalTest_){try{delete goog.global._evalTest_}catch(d){}goog.evalWorksForGlobals_=!0}else goog.evalWorksForGlobals_=!1}if(goog.evalWorksForGlobals_)goog.global.eval(a);else{var b=goog.global.document,c=b.createElement("SCRIPT");c.type="text/javascript";c.defer=
-!1;c.appendChild(b.createTextNode(a));b.head.appendChild(c);b.head.removeChild(c)}}else throw Error("goog.globalEval not available");};goog.evalWorksForGlobals_=null;
-goog.getCssName=function(a,b){if("."==String(a).charAt(0))throw Error('className passed in goog.getCssName must not start with ".". You passed: '+a);var c=function(a){return goog.cssNameMapping_[a]||a},d=function(a){a=a.split("-");for(var b=[],d=0;d<a.length;d++)b.push(c(a[d]));return b.join("-")};d=goog.cssNameMapping_?"BY_WHOLE"==goog.cssNameMappingStyle_?c:d:function(a){return a};a=b?a+"-"+d(b):d(a);return goog.global.CLOSURE_CSS_NAME_MAP_FN?goog.global.CLOSURE_CSS_NAME_MAP_FN(a):a};
-goog.setCssNameMapping=function(a,b){goog.cssNameMapping_=a;goog.cssNameMappingStyle_=b};!COMPILED&&goog.global.CLOSURE_CSS_NAME_MAPPING&&(goog.cssNameMapping_=goog.global.CLOSURE_CSS_NAME_MAPPING);goog.getMsg=function(a,b){b&&(a=a.replace(/\{\$([^}]+)}/g,function(a,d){return null!=b&&d in b?b[d]:a}));return a};goog.getMsgWithFallback=function(a,b){return a};goog.exportSymbol=function(a,b,c){goog.exportPath_(a,b,c)};goog.exportProperty=function(a,b,c){a[b]=c};
-goog.inherits=function(a,b){function c(){}c.prototype=b.prototype;a.superClass_=b.prototype;a.prototype=new c;a.prototype.constructor=a;a.base=function(a,c,f){for(var d=Array(arguments.length-2),e=2;e<arguments.length;e++)d[e-2]=arguments[e];return b.prototype[c].apply(a,d)}};
-goog.base=function(a,b,c){var d=arguments.callee.caller;if(goog.STRICT_MODE_COMPATIBLE||goog.DEBUG&&!d)throw Error("arguments.caller not defined.  goog.base() cannot be used with strict mode code. See http://www.ecma-international.org/ecma-262/5.1/#sec-C");if("undefined"!==typeof d.superClass_){for(var e=Array(arguments.length-1),f=1;f<arguments.length;f++)e[f-1]=arguments[f];return d.superClass_.constructor.apply(a,e)}if("string"!=typeof b&&"symbol"!=typeof b)throw Error("method names provided to goog.base must be a string or a symbol");
-e=Array(arguments.length-2);for(f=2;f<arguments.length;f++)e[f-2]=arguments[f];f=!1;for(var g=a.constructor;g;g=g.superClass_&&g.superClass_.constructor)if(g.prototype[b]===d)f=!0;else if(f)return g.prototype[b].apply(a,e);if(a[b]===d)return a.constructor.prototype[b].apply(a,e);throw Error("goog.base called from a method of one name to a method of a different name");};goog.scope=function(a){if(goog.isInModuleLoader_())throw Error("goog.scope is not supported within a module.");a.call(goog.global)};
-COMPILED||(goog.global.COMPILED=COMPILED);goog.defineClass=function(a,b){var c=b.constructor,d=b.statics;c&&c!=Object.prototype.constructor||(c=function(){throw Error("cannot instantiate an interface (no constructor defined).");});c=goog.defineClass.createSealingConstructor_(c,a);a&&goog.inherits(c,a);delete b.constructor;delete b.statics;goog.defineClass.applyProperties_(c.prototype,b);null!=d&&(d instanceof Function?d(c):goog.defineClass.applyProperties_(c,d));return c};
-goog.defineClass.SEAL_CLASS_INSTANCES=goog.DEBUG;goog.defineClass.createSealingConstructor_=function(a,b){if(!goog.defineClass.SEAL_CLASS_INSTANCES)return a;var c=!goog.defineClass.isUnsealable_(b),d=function(){var b=a.apply(this,arguments)||this;b[goog.UID_PROPERTY_]=b[goog.UID_PROPERTY_];this.constructor===d&&c&&Object.seal instanceof Function&&Object.seal(b);return b};return d};goog.defineClass.isUnsealable_=function(a){return a&&a.prototype&&a.prototype[goog.UNSEALABLE_CONSTRUCTOR_PROPERTY_]};
-goog.defineClass.OBJECT_PROTOTYPE_FIELDS_="constructor hasOwnProperty isPrototypeOf propertyIsEnumerable toLocaleString toString valueOf".split(" ");goog.defineClass.applyProperties_=function(a,b){for(var c in b)Object.prototype.hasOwnProperty.call(b,c)&&(a[c]=b[c]);for(var d=0;d<goog.defineClass.OBJECT_PROTOTYPE_FIELDS_.length;d++)c=goog.defineClass.OBJECT_PROTOTYPE_FIELDS_[d],Object.prototype.hasOwnProperty.call(b,c)&&(a[c]=b[c])};
-goog.tagUnsealableClass=function(a){!COMPILED&&goog.defineClass.SEAL_CLASS_INSTANCES&&(a.prototype[goog.UNSEALABLE_CONSTRUCTOR_PROPERTY_]=!0)};goog.UNSEALABLE_CONSTRUCTOR_PROPERTY_="goog_defineClass_legacy_unsealable";
-!COMPILED&&goog.DEPENDENCIES_ENABLED&&(goog.inHtmlDocument_=function(){var a=goog.global.document;return null!=a&&"write"in a},goog.isDocumentLoading_=function(){var a=goog.global.document;return a.attachEvent?"complete"!=a.readyState:"loading"==a.readyState},goog.findBasePath_=function(){if(goog.isDef(goog.global.CLOSURE_BASE_PATH)&&goog.isString(goog.global.CLOSURE_BASE_PATH))goog.basePath=goog.global.CLOSURE_BASE_PATH;else if(goog.inHtmlDocument_()){var a=goog.global.document,b=a.currentScript;
-a=b?[b]:a.getElementsByTagName("SCRIPT");for(b=a.length-1;0<=b;--b){var c=a[b].src,d=c.lastIndexOf("?");d=-1==d?c.length:d;if("base.js"==c.substr(d-7,7)){goog.basePath=c.substr(0,d-7);break}}}},goog.findBasePath_(),goog.Transpiler=function(){this.requiresTranspilation_=null},goog.Transpiler.prototype.createRequiresTranspilation_=function(){function a(a,b){d?c[a]=!0:b()?c[a]=!1:d=c[a]=!0}function b(a){try{return!!eval(a)}catch(g){return!1}}var c={es3:!1},d=!1,e=goog.global.navigator&&goog.global.navigator.userAgent?
-goog.global.navigator.userAgent:"";a("es5",function(){return b("[1,].length==1")});a("es6",function(){var a=e.match(/Edge\/(\d+)(\.\d)*/i);return a&&15>Number(a[1])?!1:b('(()=>{"use strict";class X{constructor(){if(new.target!=String)throw 1;this.x=42}}let q=Reflect.construct(X,[],String);if(q.x!=42||!(q instanceof String))throw 1;for(const a of[2,3]){if(a==2)continue;function f(z={a}){let a=0;return z.a}{function f(){return 0;}}return f()==3}})()')});a("es6-impl",function(){return!0});a("es7",function(){return b("2 ** 2 == 4")});
-a("es8",function(){return b("async () => 1, true")});a("es9",function(){return b("({...rest} = {}), true")});a("es_next",function(){return!1});return c},goog.Transpiler.prototype.needsTranspile=function(a,b){if("always"==goog.TRANSPILE)return!0;if("never"==goog.TRANSPILE)return!1;this.requiresTranspilation_||(this.requiresTranspilation_=this.createRequiresTranspilation_());if(a in this.requiresTranspilation_)return this.requiresTranspilation_[a]?!0:!goog.inHtmlDocument_()||"es6"!=b||"noModule"in goog.global.document.createElement("script")?
-!1:!0;throw Error("Unknown language mode: "+a);},goog.Transpiler.prototype.transpile=function(a,b){return goog.transpile_(a,b)},goog.transpiler_=new goog.Transpiler,goog.protectScriptTag_=function(a){return a.replace(/<\/(SCRIPT)/ig,"\\x3c/$1")},goog.DebugLoader_=function(){this.dependencies_={};this.idToPath_={};this.written_={};this.loadingDeps_=[];this.depsToLoad_=[];this.paused_=!1;this.factory_=new goog.DependencyFactory(goog.transpiler_);this.deferredCallbacks_={};this.deferredQueue_=[]},goog.DebugLoader_.prototype.bootstrap=
-function(a,b){function c(){d&&(goog.global.setTimeout(d,0),d=null)}var d=b;if(a.length){b=[];for(var e=0;e<a.length;e++){var f=this.getPathFromDeps_(a[e]);if(!f)throw Error("Unregonized namespace: "+a[e]);b.push(this.dependencies_[f])}f=goog.require;var g=0;for(e=0;e<a.length;e++)f(a[e]),b[e].onLoad(function(){++g==a.length&&c()})}else c()},goog.DebugLoader_.prototype.loadClosureDeps=function(){this.depsToLoad_.push(this.factory_.createDependency(goog.normalizePath_(goog.basePath+"deps.js"),"deps.js",
-[],[],{},!1));this.loadDeps_()},goog.DebugLoader_.prototype.requested=function(a,b){(a=this.getPathFromDeps_(a))&&(b||this.areDepsLoaded_(this.dependencies_[a].requires))&&(b=this.deferredCallbacks_[a])&&(delete this.deferredCallbacks_[a],b())},goog.DebugLoader_.prototype.setDependencyFactory=function(a){this.factory_=a},goog.DebugLoader_.prototype.load_=function(a){if(this.getPathFromDeps_(a)){var b=this,c=[],d=function(a){var e=b.getPathFromDeps_(a);if(!e)throw Error("Bad dependency path or symbol: "+
-a);if(!b.written_[e]){b.written_[e]=!0;a=b.dependencies_[e];for(e=0;e<a.requires.length;e++)goog.isProvided_(a.requires[e])||d(a.requires[e]);c.push(a)}};d(a);a=!!this.depsToLoad_.length;this.depsToLoad_=this.depsToLoad_.concat(c);this.paused_||a||this.loadDeps_()}else throw a="goog.require could not find: "+a,goog.logToConsole_(a),Error(a);},goog.DebugLoader_.prototype.loadDeps_=function(){for(var a=this,b=this.paused_;this.depsToLoad_.length&&!b;)(function(){var c=!1,d=a.depsToLoad_.shift(),e=!1;
-a.loading_(d);var f={pause:function(){if(c)throw Error("Cannot call pause after the call to load.");b=!0},resume:function(){c?a.resume_():b=!1},loaded:function(){if(e)throw Error("Double call to loaded.");e=!0;a.loaded_(d)},pending:function(){for(var b=[],c=0;c<a.loadingDeps_.length;c++)b.push(a.loadingDeps_[c]);return b},setModuleState:function(a,b){goog.moduleLoaderState_={path:a,type:b,moduleName:"",declareLegacyNamespace:!1}},registerEs6ModuleExports:function(a,b){goog.loadedModules_[a]={exports:b,
-type:goog.ModuleType.ES6,moduleId:""}},registerGoogModuleExports:function(a,b){goog.loadedModules_[a]={exports:b,type:goog.ModuleType.GOOG,moduleId:a}},clearModuleState:function(){goog.moduleLoaderState_=null},defer:function(b){if(c)throw Error("Cannot register with defer after the call to load.");a.defer_(d,b)},areDepsLoaded:function(){return a.areDepsLoaded_(d.requires)}};try{d.load(f)}finally{c=!0}})();b&&this.pause_()},goog.DebugLoader_.prototype.pause_=function(){this.paused_=!0},goog.DebugLoader_.prototype.resume_=
-function(){this.paused_&&(this.paused_=!1,this.loadDeps_())},goog.DebugLoader_.prototype.loading_=function(a){this.loadingDeps_.push(a)},goog.DebugLoader_.prototype.loaded_=function(a){for(var b=0;b<this.loadingDeps_.length;b++)if(this.loadingDeps_[b]==a){this.loadingDeps_.splice(b,1);break}for(b=0;b<this.deferredQueue_.length;b++)if(this.deferredQueue_[b]==a.path){this.deferredQueue_.splice(b,1);break}if(this.loadingDeps_.length==this.deferredQueue_.length&&!this.depsToLoad_.length)for(;this.deferredQueue_.length;)this.requested(this.deferredQueue_.shift(),
-!0);a.loaded()},goog.DebugLoader_.prototype.areDepsLoaded_=function(a){for(var b=0;b<a.length;b++){var c=this.getPathFromDeps_(a[b]);if(!c||!(c in this.deferredCallbacks_||goog.isProvided_(a[b])))return!1}return!0},goog.DebugLoader_.prototype.getPathFromDeps_=function(a){return a in this.idToPath_?this.idToPath_[a]:a in this.dependencies_?a:null},goog.DebugLoader_.prototype.defer_=function(a,b){this.deferredCallbacks_[a.path]=b;this.deferredQueue_.push(a.path)},goog.LoadController=function(){},goog.LoadController.prototype.pause=
-function(){},goog.LoadController.prototype.resume=function(){},goog.LoadController.prototype.loaded=function(){},goog.LoadController.prototype.pending=function(){},goog.LoadController.prototype.registerEs6ModuleExports=function(a,b){},goog.LoadController.prototype.setModuleState=function(a,b){},goog.LoadController.prototype.clearModuleState=function(){},goog.LoadController.prototype.defer=function(a){},goog.LoadController.prototype.areDepsLoaded=function(){},goog.Dependency=function(a,b,c,d,e){this.path=
-a;this.relativePath=b;this.provides=c;this.requires=d;this.loadFlags=e;this.loaded_=!1;this.loadCallbacks_=[]},goog.Dependency.prototype.onLoad=function(a){this.loaded_?a():this.loadCallbacks_.push(a)},goog.Dependency.prototype.loaded=function(){this.loaded_=!0;var a=this.loadCallbacks_;this.loadCallbacks_=[];for(var b=0;b<a.length;b++)a[b]()},goog.Dependency.defer_=!1,goog.Dependency.callbackMap_={},goog.Dependency.registerCallback_=function(a){var b=Math.random().toString(32);goog.Dependency.callbackMap_[b]=
-a;return b},goog.Dependency.unregisterCallback_=function(a){delete goog.Dependency.callbackMap_[a]},goog.Dependency.callback_=function(a,b){if(a in goog.Dependency.callbackMap_){for(var c=goog.Dependency.callbackMap_[a],d=[],e=1;e<arguments.length;e++)d.push(arguments[e]);c.apply(void 0,d)}else throw Error("Callback key "+a+" does not exist (was base.js loaded more than once?).");},goog.Dependency.prototype.load=function(a){if(goog.global.CLOSURE_IMPORT_SCRIPT)goog.global.CLOSURE_IMPORT_SCRIPT(this.path)?
-a.loaded():a.pause();else if(goog.inHtmlDocument_()){var b=goog.global.document;if("complete"==b.readyState&&!goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING){if(/\bdeps.js$/.test(this.path)){a.loaded();return}throw Error('Cannot write "'+this.path+'" after document load');}if(!goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING&&goog.isDocumentLoading_()){var c=goog.Dependency.registerCallback_(function(b){goog.DebugLoader_.IS_OLD_IE_&&"complete"!=b.readyState||(goog.Dependency.unregisterCallback_(c),a.loaded())});
-b.write('<script src="'+this.path+'" '+(goog.DebugLoader_.IS_OLD_IE_?"onreadystatechange":"onload")+"=\"goog.Dependency.callback_('"+c+'\', this)" type="text/javascript" '+(goog.Dependency.defer_?"defer":"")+">\x3c/script>")}else{var d=b.createElement("script");d.defer=goog.Dependency.defer_;d.async=!1;d.type="text/javascript";var e=goog.getScriptNonce();e&&(d.nonce=e);goog.DebugLoader_.IS_OLD_IE_?(a.pause(),d.onreadystatechange=function(){if("loaded"==d.readyState||"complete"==d.readyState)a.loaded(),
-a.resume()}):d.onload=function(){d.onload=null;a.loaded()};d.src=this.path;b.head.appendChild(d)}}else goog.logToConsole_("Cannot use default debug loader outside of HTML documents."),"deps.js"==this.relativePath?(goog.logToConsole_("Consider setting CLOSURE_IMPORT_SCRIPT before loading base.js, or seting CLOSURE_NO_DEPS to true."),a.loaded()):a.pause()},goog.Es6ModuleDependency=function(a,b,c,d,e){goog.Dependency.call(this,a,b,c,d,e)},goog.inherits(goog.Es6ModuleDependency,goog.Dependency),goog.Es6ModuleDependency.prototype.load=
-function(a){function b(a,b){b?d.write('<script type="module" crossorigin>'+b+"\x3c/script>"):d.write('<script type="module" crossorigin src="'+a+'">\x3c/script>')}function c(a,b){var c=d.createElement("script");c.defer=!0;c.async=!1;c.type="module";c.setAttribute("crossorigin",!0);var e=goog.getScriptNonce();e&&(c.nonce=e);b?c.textContent=b:c.src=a;d.head.appendChild(c)}if(goog.global.CLOSURE_IMPORT_SCRIPT)goog.global.CLOSURE_IMPORT_SCRIPT(this.path)?a.loaded():a.pause();else if(goog.inHtmlDocument_()){var d=
-goog.global.document,e=this;if(goog.isDocumentLoading_()){var f=b;goog.Dependency.defer_=!0}else f=c;var g=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(g);a.setModuleState(e.path,goog.ModuleType.ES6)});f(void 0,'goog.Dependency.callback_("'+g+'")');f(this.path,void 0);var h=goog.Dependency.registerCallback_(function(b){goog.Dependency.unregisterCallback_(h);a.registerEs6ModuleExports(e.path,b)});f(void 0,'import * as m from "'+this.path+'"; goog.Dependency.callback_("'+
-h+'", m)');var k=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(k);a.clearModuleState();a.loaded()});f(void 0,'goog.Dependency.callback_("'+k+'")')}else goog.logToConsole_("Cannot use default debug loader outside of HTML documents."),a.pause()},goog.TransformedDependency=function(a,b,c,d,e){goog.Dependency.call(this,a,b,c,d,e);this.contents_=null},goog.inherits(goog.TransformedDependency,goog.Dependency),goog.TransformedDependency.prototype.load=function(a){function b(){e.contents_=
-goog.loadFileSync_(e.path);e.contents_&&(e.contents_=e.transform(e.contents_),e.contents_&&(e.contents_+="\n//# sourceURL="+e.path))}function c(){b();if(e.contents_){f&&a.setModuleState(e.path,goog.ModuleType.ES6);try{var c=e.contents_;e.contents_=null;goog.globalEval(c)}finally{f&&a.clearModuleState()}f&&goog.global.$jscomp.require.ensure([e.path],function(){a.registerEs6ModuleExports(e.path,goog.global.$jscomp.require(e.path))});a.loaded()}}function d(){var a=goog.global.document,b=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(b);
-c()});a.write('<script type="text/javascript">'+goog.protectScriptTag_('goog.Dependency.callback_("'+b+'");')+"\x3c/script>")}var e=this;if(goog.global.CLOSURE_IMPORT_SCRIPT)b(),this.contents_&&goog.global.CLOSURE_IMPORT_SCRIPT("",this.contents_)?(this.contents_=null,a.loaded()):a.pause();else{var f=this.loadFlags.module==goog.ModuleType.ES6;if(1<a.pending().length&&goog.DebugLoader_.IS_OLD_IE_||goog.Dependency.defer_&&goog.isDocumentLoading_())a.defer(function(){c()});else if(f&&goog.inHtmlDocument_()&&
-goog.isDocumentLoading_()){goog.Dependency.defer_=!0;var g=goog.global.document;a.pause();var h=g.onreadystatechange;g.onreadystatechange=function(){if(g.attachEvent?"complete"==g.readyState:"interactive"==g.readyState)g.onreadystatechange=h,c(),a.resume();goog.isFunction(h)&&h.apply(void 0,arguments)}}else!goog.DebugLoader_.IS_OLD_IE_&&goog.inHtmlDocument_()&&goog.isDocumentLoading_()?d():c()}},goog.TransformedDependency.prototype.transform=function(a){},goog.TranspiledDependency=function(a,b,c,
-d,e,f){goog.TransformedDependency.call(this,a,b,c,d,e);this.transpiler=f},goog.inherits(goog.TranspiledDependency,goog.TransformedDependency),goog.TranspiledDependency.prototype.transform=function(a){return this.transpiler.transpile(a,this.path)},goog.GoogModuleDependency=function(a,b,c,d,e,f,g){goog.TransformedDependency.call(this,a,b,c,d,e);this.needsTranspile_=f;this.transpiler_=g},goog.inherits(goog.GoogModuleDependency,goog.TransformedDependency),goog.GoogModuleDependency.prototype.transform=
-function(a){this.needsTranspile_&&(a=this.transpiler_.transpile(a,this.path));return goog.LOAD_MODULE_USING_EVAL&&goog.isDef(goog.global.JSON)?"goog.loadModule("+goog.global.JSON.stringify(a+"\n//# sourceURL="+this.path+"\n")+', "'+this.path+'");':'goog.loadModule(function(exports) {"use strict";'+a+'\n;return exports}, "'+this.path+'");\n//# sourceURL='+this.path+"\n"},goog.DebugLoader_.IS_OLD_IE_=!(goog.global.atob||!goog.global.document||!goog.global.document.all),goog.DebugLoader_.prototype.addDependency=
-function(a,b,c,d){b=b||[];a=a.replace(/\\/g,"/");var e=goog.normalizePath_(goog.basePath+a);d&&"boolean"!==typeof d||(d=d?{module:goog.ModuleType.GOOG}:{});c=this.factory_.createDependency(e,a,b,c,d,goog.transpiler_.needsTranspile(d.lang||"es3",d.module));this.dependencies_[e]=c;for(c=0;c<b.length;c++)this.idToPath_[b[c]]=e;this.idToPath_[a]=e},goog.DependencyFactory=function(a){this.transpiler=a},goog.DependencyFactory.prototype.createDependency=function(a,b,c,d,e,f){return e.module==goog.ModuleType.GOOG?
-new goog.GoogModuleDependency(a,b,c,d,e,f,this.transpiler):f?new goog.TranspiledDependency(a,b,c,d,e,this.transpiler):e.module==goog.ModuleType.ES6?new goog.Es6ModuleDependency(a,b,c,d,e):new goog.Dependency(a,b,c,d,e)},goog.debugLoader_=new goog.DebugLoader_,goog.loadClosureDeps=function(){goog.debugLoader_.loadClosureDeps()},goog.setDependencyFactory=function(a){goog.debugLoader_.setDependencyFactory(a)},goog.global.CLOSURE_NO_DEPS||goog.debugLoader_.loadClosureDeps(),goog.bootstrap=function(a,
-b){goog.debugLoader_.bootstrap(a,b)});var sre={Variables:function(){}};sre.Variables.VERSION="2.2.2";sre.Variables.LOCALES=["en","es"];sre.Variables.mathjaxVersion="2.7.4";sre.Variables.url="https://cdn.jsdelivr.net/npm/speech-rule-engine@"+sre.Variables.VERSION+"/lib/mathmaps";sre.Variables.WGXpath="https://cdnjs.cloudflare.com/ajax/libs/mathjax/"+sre.Variables.mathjaxVersion+"/extensions/a11y/wgxpath.install.js";sre.SystemExternal=function(){};sre.SystemExternal.require=function(a){return"undefined"!==typeof process&&"undefined"!==typeof require?require(a):null};sre.SystemExternal.documentSupported=function(){return"undefined"!=typeof document};sre.SystemExternal.process=sre.SystemExternal.require("process");sre.SystemExternal.xmldom=sre.SystemExternal.documentSupported()?window:sre.SystemExternal.require("xmldom-sre");
-sre.SystemExternal.document=sre.SystemExternal.documentSupported()?document:(new sre.SystemExternal.xmldom.DOMImplementation).createDocument("","",0);sre.SystemExternal.xpath=sre.SystemExternal.documentSupported()?document:function(){var a={document:{}};sre.SystemExternal.require("wicked-good-xpath").install(a);a.document.XPathResult=a.XPathResult;return a.document}();sre.SystemExternal.commander=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("commander");
-sre.SystemExternal.fs=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("fs");sre.SystemExternal.xm=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("xml-mapping");sre.SystemExternal.url=sre.Variables.url;sre.SystemExternal.jsonPath=function(){return(sre.SystemExternal.process&&"undefined"!==typeof global?sre.SystemExternal.process.env.SRE_JSON_PATH||global.SRE_JSON_PATH||sre.SystemExternal.process.cwd():sre.SystemExternal.url)+"/"}();
-sre.SystemExternal.WGXpath=sre.Variables.WGXpath;sre.SystemExternal.wgxpath=null;sre.BrowserUtil={};sre.BrowserUtil.detectIE=function(){if(!("undefined"!==typeof window&&"ActiveXObject"in window&&"clipboardData"in window))return!1;sre.BrowserUtil.loadMapsForIE_();sre.BrowserUtil.loadWGXpath_();return!0};sre.BrowserUtil.detectEdge=function(){if(!("undefined"!==typeof window&&"MSGestureEvent"in window&&"chrome"in window&&null==window.chrome.loadTimes))return!1;document.evaluate=null;sre.BrowserUtil.loadWGXpath_(!0);return!0};sre.BrowserUtil.mapsForIE=null;
+else if("function"==b&&"undefined"==typeof a.call)return"object";return b};goog.isArray=function(a){return Array.isArray(a)};goog.isArrayLike=function(a){var b=goog.typeOf(a);return"array"==b||"object"==b&&"number"==typeof a.length};goog.isDateLike=function(a){return goog.isObject(a)&&"function"==typeof a.getFullYear};goog.isFunction=function(a){return"function"==goog.typeOf(a)};goog.isObject=function(a){var b=typeof a;return"object"==b&&null!=a||"function"==b};
+goog.getUid=function(a){return Object.prototype.hasOwnProperty.call(a,goog.UID_PROPERTY_)&&a[goog.UID_PROPERTY_]||(a[goog.UID_PROPERTY_]=++goog.uidCounter_)};goog.hasUid=function(a){return!!a[goog.UID_PROPERTY_]};goog.removeUid=function(a){null!==a&&"removeAttribute"in a&&a.removeAttribute(goog.UID_PROPERTY_);try{delete a[goog.UID_PROPERTY_]}catch(b){}};goog.UID_PROPERTY_="closure_uid_"+(1E9*Math.random()>>>0);goog.uidCounter_=0;goog.getHashCode=goog.getUid;goog.removeHashCode=goog.removeUid;
+goog.cloneObject=function(a){var b=goog.typeOf(a);if("object"==b||"array"==b){if("function"===typeof a.clone)return a.clone();b="array"==b?[]:{};for(var c in a)b[c]=goog.cloneObject(a[c]);return b}return a};goog.bindNative_=function(a,b,c){return a.call.apply(a.bind,arguments)};
+goog.bindJs_=function(a,b,c){if(!a)throw Error();if(2<arguments.length){var d=Array.prototype.slice.call(arguments,2);return function(){var e=Array.prototype.slice.call(arguments);Array.prototype.unshift.apply(e,d);return a.apply(b,e)}}return function(){return a.apply(b,arguments)}};goog.bind=function(a,b,c){Function.prototype.bind&&-1!=Function.prototype.bind.toString().indexOf("native code")?goog.bind=goog.bindNative_:goog.bind=goog.bindJs_;return goog.bind.apply(null,arguments)};
+goog.partial=function(a,b){var c=Array.prototype.slice.call(arguments,1);return function(){var d=c.slice();d.push.apply(d,arguments);return a.apply(this,d)}};goog.mixin=function(a,b){for(var c in b)a[c]=b[c]};goog.now=goog.TRUSTED_SITE&&Date.now||function(){return+new Date};
+goog.globalEval=function(a){if(goog.global.execScript)goog.global.execScript(a,"JavaScript");else if(goog.global.eval){if(null==goog.evalWorks_)try{goog.global.eval(""),goog.evalWorks_=!0}catch(d){goog.evalWorks_=!1}if(goog.evalWorks_)goog.global.eval(a);else{var b=goog.global.document,c=b.createElement("script");c.type="text/javascript";c.defer=!1;c.appendChild(b.createTextNode(a));b.head.appendChild(c);b.head.removeChild(c)}}else throw Error("goog.globalEval not available");};goog.evalWorks_=null;
+goog.getCssName=function(a,b){if("."==String(a).charAt(0))throw Error('className passed in goog.getCssName must not start with ".". You passed: '+a);var c=function(e){return goog.cssNameMapping_[e]||e},d=function(e){e=e.split("-");for(var f=[],g=0;g<e.length;g++)f.push(c(e[g]));return f.join("-")};d=goog.cssNameMapping_?"BY_WHOLE"==goog.cssNameMappingStyle_?c:d:function(e){return e};a=b?a+"-"+d(b):d(a);return goog.global.CLOSURE_CSS_NAME_MAP_FN?goog.global.CLOSURE_CSS_NAME_MAP_FN(a):a};
+goog.setCssNameMapping=function(a,b){goog.cssNameMapping_=a;goog.cssNameMappingStyle_=b};!COMPILED&&goog.global.CLOSURE_CSS_NAME_MAPPING&&(goog.cssNameMapping_=goog.global.CLOSURE_CSS_NAME_MAPPING);goog.getMsg=function(a,b,c){c&&c.html&&(a=a.replace(/</g,"&lt;"));b&&(a=a.replace(/\{\$([^}]+)}/g,function(d,e){return null!=b&&e in b?b[e]:d}));return a};goog.getMsgWithFallback=function(a,b){return a};goog.exportSymbol=function(a,b,c){goog.exportPath_(a,b,c)};
+goog.exportProperty=function(a,b,c){a[b]=c};goog.inherits=function(a,b){function c(){}c.prototype=b.prototype;a.superClass_=b.prototype;a.prototype=new c;a.prototype.constructor=a;a.base=function(d,e,f){for(var g=Array(arguments.length-2),h=2;h<arguments.length;h++)g[h-2]=arguments[h];return b.prototype[e].apply(d,g)}};goog.scope=function(a){if(goog.isInModuleLoader_())throw Error("goog.scope is not supported within a module.");a.call(goog.global)};COMPILED||(goog.global.COMPILED=COMPILED);
+goog.defineClass=function(a,b){var c=b.constructor,d=b.statics;c&&c!=Object.prototype.constructor||(c=function(){throw Error("cannot instantiate an interface (no constructor defined).");});c=goog.defineClass.createSealingConstructor_(c,a);a&&goog.inherits(c,a);delete b.constructor;delete b.statics;goog.defineClass.applyProperties_(c.prototype,b);null!=d&&(d instanceof Function?d(c):goog.defineClass.applyProperties_(c,d));return c};goog.defineClass.SEAL_CLASS_INSTANCES=goog.DEBUG;
+goog.defineClass.createSealingConstructor_=function(a,b){return goog.defineClass.SEAL_CLASS_INSTANCES?function(){var c=a.apply(this,arguments)||this;c[goog.UID_PROPERTY_]=c[goog.UID_PROPERTY_];return c}:a};goog.defineClass.OBJECT_PROTOTYPE_FIELDS_="constructor hasOwnProperty isPrototypeOf propertyIsEnumerable toLocaleString toString valueOf".split(" ");
+goog.defineClass.applyProperties_=function(a,b){for(var c in b)Object.prototype.hasOwnProperty.call(b,c)&&(a[c]=b[c]);for(var d=0;d<goog.defineClass.OBJECT_PROTOTYPE_FIELDS_.length;d++)c=goog.defineClass.OBJECT_PROTOTYPE_FIELDS_[d],Object.prototype.hasOwnProperty.call(b,c)&&(a[c]=b[c])};
+!COMPILED&&goog.DEPENDENCIES_ENABLED&&(goog.inHtmlDocument_=function(){var a=goog.global.document;return null!=a&&"write"in a},goog.isDocumentLoading_=function(){var a=goog.global.document;return a.attachEvent?"complete"!=a.readyState:"loading"==a.readyState},goog.findBasePath_=function(){if(void 0!=goog.global.CLOSURE_BASE_PATH&&"string"===typeof goog.global.CLOSURE_BASE_PATH)goog.basePath=goog.global.CLOSURE_BASE_PATH;else if(goog.inHtmlDocument_()){var a=goog.global.document,b=a.currentScript;
+a=b?[b]:a.getElementsByTagName("SCRIPT");for(b=a.length-1;0<=b;--b){var c=a[b].src,d=c.lastIndexOf("?");d=-1==d?c.length:d;if("base.js"==c.substr(d-7,7)){goog.basePath=c.substr(0,d-7);break}}}},goog.findBasePath_(),goog.Transpiler=function(){this.requiresTranspilation_=null;this.transpilationTarget_=goog.TRANSPILE_TO_LANGUAGE},goog.Transpiler.prototype.createRequiresTranspilation_=function(){function a(g,h){e?d[g]=!0:h()?(c=g,d[g]=!1):e=d[g]=!0}function b(g){try{return!!eval(g)}catch(h){return!1}}
+var c="es3",d={es3:!1},e=!1,f=goog.global.navigator&&goog.global.navigator.userAgent?goog.global.navigator.userAgent:"";a("es5",function(){return b("[1,].length==1")});a("es6",function(){return f.match(/Edge\/(\d+)(\.\d)*/i)?!1:b('(()=>{"use strict";class X{constructor(){if(new.target!=String)throw 1;this.x=42}}let q=Reflect.construct(X,[],String);if(q.x!=42||!(q instanceof String))throw 1;for(const a of[2,3]){if(a==2)continue;function f(z={a}){let a=0;return z.a}{function f(){return 0;}}return f()==3}})()')});
+a("es7",function(){return b("2 ** 2 == 4")});a("es8",function(){return b("async () => 1, true")});a("es9",function(){return b("({...rest} = {}), true")});a("es_next",function(){return!1});return{target:c,map:d}},goog.Transpiler.prototype.needsTranspile=function(a,b){if("always"==goog.TRANSPILE)return!0;if("never"==goog.TRANSPILE)return!1;if(!this.requiresTranspilation_){var c=this.createRequiresTranspilation_();this.requiresTranspilation_=c.map;this.transpilationTarget_=this.transpilationTarget_||
+c.target}if(a in this.requiresTranspilation_)return this.requiresTranspilation_[a]?!0:!goog.inHtmlDocument_()||"es6"!=b||"noModule"in goog.global.document.createElement("script")?!1:!0;throw Error("Unknown language mode: "+a);},goog.Transpiler.prototype.transpile=function(a,b){return goog.transpile_(a,b,this.transpilationTarget_)},goog.transpiler_=new goog.Transpiler,goog.protectScriptTag_=function(a){return a.replace(/<\/(SCRIPT)/ig,"\\x3c/$1")},goog.DebugLoader_=function(){this.dependencies_={};
+this.idToPath_={};this.written_={};this.loadingDeps_=[];this.depsToLoad_=[];this.paused_=!1;this.factory_=new goog.DependencyFactory(goog.transpiler_);this.deferredCallbacks_={};this.deferredQueue_=[]},goog.DebugLoader_.prototype.bootstrap=function(a,b){function c(){d&&(goog.global.setTimeout(d,0),d=null)}var d=b;if(a.length){b=[];for(var e=0;e<a.length;e++){var f=this.getPathFromDeps_(a[e]);if(!f)throw Error("Unregonized namespace: "+a[e]);b.push(this.dependencies_[f])}f=goog.require;var g=0;for(e=
+0;e<a.length;e++)f(a[e]),b[e].onLoad(function(){++g==a.length&&c()})}else c()},goog.DebugLoader_.prototype.loadClosureDeps=function(){this.depsToLoad_.push(this.factory_.createDependency(goog.normalizePath_(goog.basePath+"deps.js"),"deps.js",[],[],{},!1));this.loadDeps_()},goog.DebugLoader_.prototype.requested=function(a,b){(a=this.getPathFromDeps_(a))&&(b||this.areDepsLoaded_(this.dependencies_[a].requires))&&(b=this.deferredCallbacks_[a])&&(delete this.deferredCallbacks_[a],b())},goog.DebugLoader_.prototype.setDependencyFactory=
+function(a){this.factory_=a},goog.DebugLoader_.prototype.load_=function(a){if(this.getPathFromDeps_(a)){var b=this,c=[],d=function(e){var f=b.getPathFromDeps_(e);if(!f)throw Error("Bad dependency path or symbol: "+e);if(!b.written_[f]){b.written_[f]=!0;e=b.dependencies_[f];for(f=0;f<e.requires.length;f++)goog.isProvided_(e.requires[f])||d(e.requires[f]);c.push(e)}};d(a);a=!!this.depsToLoad_.length;this.depsToLoad_=this.depsToLoad_.concat(c);this.paused_||a||this.loadDeps_()}else throw a="goog.require could not find: "+
+a,goog.logToConsole_(a),Error(a);},goog.DebugLoader_.prototype.loadDeps_=function(){for(var a=this,b=this.paused_;this.depsToLoad_.length&&!b;)(function(){var c=!1,d=a.depsToLoad_.shift(),e=!1;a.loading_(d);var f={pause:function(){if(c)throw Error("Cannot call pause after the call to load.");b=!0},resume:function(){c?a.resume_():b=!1},loaded:function(){if(e)throw Error("Double call to loaded.");e=!0;a.loaded_(d)},pending:function(){for(var g=[],h=0;h<a.loadingDeps_.length;h++)g.push(a.loadingDeps_[h]);
+return g},setModuleState:function(g){goog.moduleLoaderState_={type:g,moduleName:"",declareLegacyNamespace:!1}},registerEs6ModuleExports:function(g,h,k){k&&(goog.loadedModules_[k]={exports:h,type:goog.ModuleType.ES6,moduleId:k||""})},registerGoogModuleExports:function(g,h){goog.loadedModules_[g]={exports:h,type:goog.ModuleType.GOOG,moduleId:g}},clearModuleState:function(){goog.moduleLoaderState_=null},defer:function(g){if(c)throw Error("Cannot register with defer after the call to load.");a.defer_(d,
+g)},areDepsLoaded:function(){return a.areDepsLoaded_(d.requires)}};try{d.load(f)}finally{c=!0}})();b&&this.pause_()},goog.DebugLoader_.prototype.pause_=function(){this.paused_=!0},goog.DebugLoader_.prototype.resume_=function(){this.paused_&&(this.paused_=!1,this.loadDeps_())},goog.DebugLoader_.prototype.loading_=function(a){this.loadingDeps_.push(a)},goog.DebugLoader_.prototype.loaded_=function(a){for(var b=0;b<this.loadingDeps_.length;b++)if(this.loadingDeps_[b]==a){this.loadingDeps_.splice(b,1);
+break}for(b=0;b<this.deferredQueue_.length;b++)if(this.deferredQueue_[b]==a.path){this.deferredQueue_.splice(b,1);break}if(this.loadingDeps_.length==this.deferredQueue_.length&&!this.depsToLoad_.length)for(;this.deferredQueue_.length;)this.requested(this.deferredQueue_.shift(),!0);a.loaded()},goog.DebugLoader_.prototype.areDepsLoaded_=function(a){for(var b=0;b<a.length;b++){var c=this.getPathFromDeps_(a[b]);if(!c||!(c in this.deferredCallbacks_||goog.isProvided_(a[b])))return!1}return!0},goog.DebugLoader_.prototype.getPathFromDeps_=
+function(a){return a in this.idToPath_?this.idToPath_[a]:a in this.dependencies_?a:null},goog.DebugLoader_.prototype.defer_=function(a,b){this.deferredCallbacks_[a.path]=b;this.deferredQueue_.push(a.path)},goog.LoadController=function(){},goog.LoadController.prototype.pause=function(){},goog.LoadController.prototype.resume=function(){},goog.LoadController.prototype.loaded=function(){},goog.LoadController.prototype.pending=function(){},goog.LoadController.prototype.registerEs6ModuleExports=function(a,
+b,c){},goog.LoadController.prototype.setModuleState=function(a){},goog.LoadController.prototype.clearModuleState=function(){},goog.LoadController.prototype.defer=function(a){},goog.LoadController.prototype.areDepsLoaded=function(){},goog.Dependency=function(a,b,c,d,e){this.path=a;this.relativePath=b;this.provides=c;this.requires=d;this.loadFlags=e;this.loaded_=!1;this.loadCallbacks_=[]},goog.Dependency.prototype.getPathName=function(){var a=this.path,b=a.indexOf("://");0<=b&&(a=a.substring(b+3),b=
+a.indexOf("/"),0<=b&&(a=a.substring(b+1)));return a},goog.Dependency.prototype.onLoad=function(a){this.loaded_?a():this.loadCallbacks_.push(a)},goog.Dependency.prototype.loaded=function(){this.loaded_=!0;var a=this.loadCallbacks_;this.loadCallbacks_=[];for(var b=0;b<a.length;b++)a[b]()},goog.Dependency.defer_=!1,goog.Dependency.callbackMap_={},goog.Dependency.registerCallback_=function(a){var b=Math.random().toString(32);goog.Dependency.callbackMap_[b]=a;return b},goog.Dependency.unregisterCallback_=
+function(a){delete goog.Dependency.callbackMap_[a]},goog.Dependency.callback_=function(a,b){if(a in goog.Dependency.callbackMap_){for(var c=goog.Dependency.callbackMap_[a],d=[],e=1;e<arguments.length;e++)d.push(arguments[e]);c.apply(void 0,d)}else throw Error("Callback key "+a+" does not exist (was base.js loaded more than once?).");},goog.Dependency.prototype.load=function(a){if(goog.global.CLOSURE_IMPORT_SCRIPT)goog.global.CLOSURE_IMPORT_SCRIPT(this.path)?a.loaded():a.pause();else if(goog.inHtmlDocument_()){var b=
+goog.global.document;if("complete"==b.readyState&&!goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING){if(/\bdeps.js$/.test(this.path)){a.loaded();return}throw Error('Cannot write "'+this.path+'" after document load');}if(!goog.ENABLE_CHROME_APP_SAFE_SCRIPT_LOADING&&goog.isDocumentLoading_()){var c=goog.Dependency.registerCallback_(function(f){goog.DebugLoader_.IS_OLD_IE_&&"complete"!=f.readyState||(goog.Dependency.unregisterCallback_(c),a.loaded())}),d=!goog.DebugLoader_.IS_OLD_IE_&&goog.getScriptNonce()?
+' nonce="'+goog.getScriptNonce()+'"':"";d='<script src="'+this.path+'" '+(goog.DebugLoader_.IS_OLD_IE_?"onreadystatechange":"onload")+"=\"goog.Dependency.callback_('"+c+'\', this)" type="text/javascript" '+(goog.Dependency.defer_?"defer":"")+d+">\x3c/script>";b.write(goog.TRUSTED_TYPES_POLICY_?goog.TRUSTED_TYPES_POLICY_.createHTML(d):d)}else{var e=b.createElement("script");e.defer=goog.Dependency.defer_;e.async=!1;e.type="text/javascript";(d=goog.getScriptNonce())&&e.setAttribute("nonce",d);goog.DebugLoader_.IS_OLD_IE_?
+(a.pause(),e.onreadystatechange=function(){if("loaded"==e.readyState||"complete"==e.readyState)a.loaded(),a.resume()}):e.onload=function(){e.onload=null;a.loaded()};e.src=goog.TRUSTED_TYPES_POLICY_?goog.TRUSTED_TYPES_POLICY_.createScriptURL(this.path):this.path;b.head.appendChild(e)}}else goog.logToConsole_("Cannot use default debug loader outside of HTML documents."),"deps.js"==this.relativePath?(goog.logToConsole_("Consider setting CLOSURE_IMPORT_SCRIPT before loading base.js, or setting CLOSURE_NO_DEPS to true."),
+a.loaded()):a.pause()},goog.Es6ModuleDependency=function(a,b,c,d,e){goog.Dependency.call(this,a,b,c,d,e)},goog.inherits(goog.Es6ModuleDependency,goog.Dependency),goog.Es6ModuleDependency.prototype.load=function(a){function b(l,m){l=m?'<script type="module" crossorigin>'+m+"\x3c/script>":'<script type="module" crossorigin src="'+l+'">\x3c/script>';d.write(goog.TRUSTED_TYPES_POLICY_?goog.TRUSTED_TYPES_POLICY_.createHTML(l):l)}function c(l,m){var n=d.createElement("script");n.defer=!0;n.async=!1;n.type=
+"module";n.setAttribute("crossorigin",!0);var p=goog.getScriptNonce();p&&n.setAttribute("nonce",p);m?n.textContent=goog.TRUSTED_TYPES_POLICY_?goog.TRUSTED_TYPES_POLICY_.createScript(m):m:n.src=goog.TRUSTED_TYPES_POLICY_?goog.TRUSTED_TYPES_POLICY_.createScriptURL(l):l;d.head.appendChild(n)}if(goog.global.CLOSURE_IMPORT_SCRIPT)goog.global.CLOSURE_IMPORT_SCRIPT(this.path)?a.loaded():a.pause();else if(goog.inHtmlDocument_()){var d=goog.global.document,e=this;if(goog.isDocumentLoading_()){var f=b;goog.Dependency.defer_=
+!0}else f=c;var g=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(g);a.setModuleState(goog.ModuleType.ES6)});f(void 0,'goog.Dependency.callback_("'+g+'")');f(this.path,void 0);var h=goog.Dependency.registerCallback_(function(l){goog.Dependency.unregisterCallback_(h);a.registerEs6ModuleExports(e.path,l,goog.moduleLoaderState_.moduleName)});f(void 0,'import * as m from "'+this.path+'"; goog.Dependency.callback_("'+h+'", m)');var k=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(k);
+a.clearModuleState();a.loaded()});f(void 0,'goog.Dependency.callback_("'+k+'")')}else goog.logToConsole_("Cannot use default debug loader outside of HTML documents."),a.pause()},goog.TransformedDependency=function(a,b,c,d,e){goog.Dependency.call(this,a,b,c,d,e);this.contents_=null;this.lazyFetch_=!goog.inHtmlDocument_()||!("noModule"in goog.global.document.createElement("script"))},goog.inherits(goog.TransformedDependency,goog.Dependency),goog.TransformedDependency.prototype.load=function(a){function b(){e.contents_=
+goog.loadFileSync_(e.path);e.contents_&&(e.contents_=e.transform(e.contents_),e.contents_&&(e.contents_+="\n//# sourceURL="+e.path))}function c(){e.lazyFetch_&&b();if(e.contents_){f&&a.setModuleState(goog.ModuleType.ES6);try{var m=e.contents_;e.contents_=null;goog.globalEval(m);if(f)var n=goog.moduleLoaderState_.moduleName}finally{f&&a.clearModuleState()}f&&goog.global.$jscomp.require.ensure([e.getPathName()],function(){a.registerEs6ModuleExports(e.path,goog.global.$jscomp.require(e.getPathName()),
+n)});a.loaded()}}function d(){var m=goog.global.document,n=goog.Dependency.registerCallback_(function(){goog.Dependency.unregisterCallback_(n);c()}),p='<script type="text/javascript">'+goog.protectScriptTag_('goog.Dependency.callback_("'+n+'");')+"\x3c/script>";m.write(goog.TRUSTED_TYPES_POLICY_?goog.TRUSTED_TYPES_POLICY_.createHTML(p):p)}var e=this;if(goog.global.CLOSURE_IMPORT_SCRIPT)b(),this.contents_&&goog.global.CLOSURE_IMPORT_SCRIPT("",this.contents_)?(this.contents_=null,a.loaded()):a.pause();
+else{var f=this.loadFlags.module==goog.ModuleType.ES6;this.lazyFetch_||b();var g=1<a.pending().length,h=g&&goog.DebugLoader_.IS_OLD_IE_;g=goog.Dependency.defer_&&(g||goog.isDocumentLoading_());if(h||g)a.defer(function(){c()});else{var k=goog.global.document;h=goog.inHtmlDocument_()&&"ActiveXObject"in goog.global;if(f&&goog.inHtmlDocument_()&&goog.isDocumentLoading_()&&!h){goog.Dependency.defer_=!0;a.pause();var l=k.onreadystatechange;k.onreadystatechange=function(){"interactive"==k.readyState&&(k.onreadystatechange=
+l,c(),a.resume());goog.isFunction(l)&&l.apply(void 0,arguments)}}else!goog.DebugLoader_.IS_OLD_IE_&&goog.inHtmlDocument_()&&goog.isDocumentLoading_()?d():c()}}},goog.TransformedDependency.prototype.transform=function(a){},goog.TranspiledDependency=function(a,b,c,d,e,f){goog.TransformedDependency.call(this,a,b,c,d,e);this.transpiler=f},goog.inherits(goog.TranspiledDependency,goog.TransformedDependency),goog.TranspiledDependency.prototype.transform=function(a){return this.transpiler.transpile(a,this.getPathName())},
+goog.PreTranspiledEs6ModuleDependency=function(a,b,c,d,e){goog.TransformedDependency.call(this,a,b,c,d,e)},goog.inherits(goog.PreTranspiledEs6ModuleDependency,goog.TransformedDependency),goog.PreTranspiledEs6ModuleDependency.prototype.transform=function(a){return a},goog.GoogModuleDependency=function(a,b,c,d,e,f,g){goog.TransformedDependency.call(this,a,b,c,d,e);this.needsTranspile_=f;this.transpiler_=g},goog.inherits(goog.GoogModuleDependency,goog.TransformedDependency),goog.GoogModuleDependency.prototype.transform=
+function(a){this.needsTranspile_&&(a=this.transpiler_.transpile(a,this.getPathName()));return goog.LOAD_MODULE_USING_EVAL&&void 0!==goog.global.JSON?"goog.loadModule("+goog.global.JSON.stringify(a+"\n//# sourceURL="+this.path+"\n")+");":'goog.loadModule(function(exports) {"use strict";'+a+"\n;return exports});\n//# sourceURL="+this.path+"\n"},goog.DebugLoader_.IS_OLD_IE_=!(goog.global.atob||!goog.global.document||!goog.global.document.all),goog.DebugLoader_.prototype.addDependency=function(a,b,c,
+d){b=b||[];a=a.replace(/\\/g,"/");var e=goog.normalizePath_(goog.basePath+a);d&&"boolean"!==typeof d||(d=d?{module:goog.ModuleType.GOOG}:{});c=this.factory_.createDependency(e,a,b,c,d,goog.transpiler_.needsTranspile(d.lang||"es3",d.module));this.dependencies_[e]=c;for(c=0;c<b.length;c++)this.idToPath_[b[c]]=e;this.idToPath_[a]=e},goog.DependencyFactory=function(a){this.transpiler=a},goog.DependencyFactory.prototype.createDependency=function(a,b,c,d,e,f){return e.module==goog.ModuleType.GOOG?new goog.GoogModuleDependency(a,
+b,c,d,e,f,this.transpiler):f?new goog.TranspiledDependency(a,b,c,d,e,this.transpiler):e.module==goog.ModuleType.ES6?"never"==goog.TRANSPILE&&goog.ASSUME_ES_MODULES_TRANSPILED?new goog.PreTranspiledEs6ModuleDependency(a,b,c,d,e):new goog.Es6ModuleDependency(a,b,c,d,e):new goog.Dependency(a,b,c,d,e)},goog.debugLoader_=new goog.DebugLoader_,goog.loadClosureDeps=function(){goog.debugLoader_.loadClosureDeps()},goog.setDependencyFactory=function(a){goog.debugLoader_.setDependencyFactory(a)},goog.TRUSTED_TYPES_POLICY_=
+goog.TRUSTED_TYPES_POLICY_NAME?goog.createTrustedTypesPolicy(goog.TRUSTED_TYPES_POLICY_NAME+"#base"):null,goog.global.CLOSURE_NO_DEPS||goog.debugLoader_.loadClosureDeps(),goog.bootstrap=function(a,b){goog.debugLoader_.bootstrap(a,b)});goog.TRUSTED_TYPES_POLICY_NAME="";goog.identity_=function(a){return a};goog.createTrustedTypesPolicy=function(a){var b=null,c=goog.global.trustedTypes;if(!c||!c.createPolicy)return b;try{b=c.createPolicy(a,{createHTML:goog.identity_,createScript:goog.identity_,createScriptURL:goog.identity_})}catch(d){goog.logToConsole_(d.message)}return b};var sre={Variables:function(){}};sre.Variables.VERSION="3.1.0";sre.Variables.LOCALES=["de","en","es","fr","nemeth"];sre.Variables.mathjaxVersion="3.0.0";sre.Variables.url="https://cdn.jsdelivr.net/npm/speech-rule-engine@"+sre.Variables.VERSION+"/lib/mathmaps";sre.Variables.WGXpath="https://cdn.jsdelivr.net/npm/wicked-good-xpath@1.3.0/dist/wgxpath.install.js";sre.SystemExternal=function(){};sre.SystemExternal.require=function(a){return"undefined"!==typeof process&&"undefined"!==typeof require?require(a):null};sre.SystemExternal.documentSupported=function(){return"undefined"!=typeof document};sre.SystemExternal.process=sre.SystemExternal.require("process");sre.SystemExternal.xmldom=sre.SystemExternal.documentSupported()?window:sre.SystemExternal.require("xmldom-sre");
+sre.SystemExternal.document=sre.SystemExternal.documentSupported()?document:(new sre.SystemExternal.xmldom.DOMImplementation).createDocument("","",0);sre.SystemExternal.xpath=sre.SystemExternal.documentSupported()?document:function(){var a={document:{},XPathResult:{}};sre.SystemExternal.require("wicked-good-xpath").install(a);a.document.XPathResult=a.XPathResult;return a.document}();sre.SystemExternal.commander=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("commander");
+sre.SystemExternal.fs=sre.SystemExternal.documentSupported()?null:sre.SystemExternal.require("fs");sre.SystemExternal.url=sre.Variables.url;sre.SystemExternal.jsonPath=function(){return(sre.SystemExternal.process&&"undefined"!==typeof global?sre.SystemExternal.process.env.SRE_JSON_PATH||global.SRE_JSON_PATH||sre.SystemExternal.process.cwd():sre.SystemExternal.url)+"/"}();sre.SystemExternal.WGXpath=sre.Variables.WGXpath;sre.SystemExternal.wgxpath=null;sre.BrowserUtil={};sre.BrowserUtil.detectIE=function(){if(!("undefined"!==typeof window&&"ActiveXObject"in window&&"clipboardData"in window))return!1;sre.BrowserUtil.loadMapsForIE_();sre.BrowserUtil.loadWGXpath_();return!0};sre.BrowserUtil.detectEdge=function(){if(!("undefined"!==typeof window&&"MSGestureEvent"in window&&"chrome"in window&&null==window.chrome.loadTimes))return!1;document.evaluate=null;sre.BrowserUtil.loadWGXpath_(!0);return!0};sre.BrowserUtil.mapsForIE=null;
 sre.BrowserUtil.loadWGXpath_=function(a){sre.BrowserUtil.loadScript(sre.SystemExternal.WGXpath);sre.BrowserUtil.installWGXpath_(a)};
 sre.BrowserUtil.installWGXpath_=function(a,b){var c=b||1;"undefined"===typeof wgxpath&&10>c?setTimeout(function(){sre.BrowserUtil.installWGXpath_(a,c++)},200):10<=c||(sre.SystemExternal.wgxpath=wgxpath,a?sre.SystemExternal.wgxpath.install({document:document}):sre.SystemExternal.wgxpath.install(),sre.XpathUtil.xpathEvaluate=document.evaluate,sre.XpathUtil.xpathResult=XPathResult,sre.XpathUtil.createNSResolver=document.createNSResolver)};
 sre.BrowserUtil.loadMapsForIE_=function(){sre.BrowserUtil.loadScript(sre.SystemExternal.jsonPath+"mathmaps_ie.js")};sre.BrowserUtil.loadScript=function(a){var b=sre.SystemExternal.document.createElement("script");b.type="text/javascript";b.src=a;sre.SystemExternal.document.head?sre.SystemExternal.document.head.appendChild(b):sre.SystemExternal.document.body.appendChild(b)};sre.DynamicProperties=function(a,b){this.properties_=a;this.order_=b||Object.keys(a)};sre.DynamicProperties.prototype.getProperties=function(){return this.properties_};sre.DynamicProperties.prototype.getOrder=function(){return this.order_};sre.DynamicProperties.prototype.getAxes=function(){return this.order_};sre.DynamicProperties.prototype.getProperty=function(a){return this.properties_[a]};sre.DynamicProperties.prototype.updateProperties=function(a){this.properties_=a};
-sre.DynamicProperties.prototype.allProperties=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(this.getProperty(b))},this));return a};sre.DynamicProperties.prototype.toString=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(b+": "+this.getProperty(b).toString())},this));return a.join("\n")};
+sre.DynamicProperties.prototype.allProperties=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(this.getProperty(b).slice())},this));return a};sre.DynamicProperties.prototype.toString=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(b+": "+this.getProperty(b).toString())},this));return a.join("\n")};
 sre.DynamicCstr=function(a,b){this.components_=a;var c={},d;for(d in a){var e=a[d];c[d]=[e];sre.DynamicCstr.Values_.getInstance().add(d,e)}sre.DynamicProperties.call(this,c,b)};goog.inherits(sre.DynamicCstr,sre.DynamicProperties);sre.DynamicCstr.prototype.getComponents=function(){return this.components_};sre.DynamicCstr.prototype.getValue=function(a){return this.components_[a]};
-sre.DynamicCstr.prototype.getValues=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(this.getValue(b))},this));return a};sre.DynamicCstr.prototype.toString=function(){return this.getValues().join(".")};sre.DynamicCstr.prototype.equal=function(a){var b=a.getAxes();if(this.order_.length!==b.length)return!1;for(var c=0,d;d=b[c];c++){var e=this.getValue(d);if(!e||a.getValue(d)!==e)return!1}return!0};
-sre.DynamicCstr.Axis={DOMAIN:"domain",STYLE:"style",LOCALE:"locale",TOPIC:"topic",MODALITY:"modality"};sre.DynamicCstr.Values_=function(){this.axisToValues=sre.DynamicCstr.Values_.makeAxisValueObject_()};goog.addSingletonGetter(sre.DynamicCstr.Values_);sre.DynamicCstr.Values_.prototype.add=function(a,b){this.axisToValues[a][b]=!0};sre.DynamicCstr.Values_.prototype.get=function(){var a={},b=sre.DynamicCstr.Values_.getInstance().axisToValues,c;for(c in b)a[c]=Object.keys(b[c]);return a};
-sre.DynamicCstr.Values_.makeAxisValueObject_=function(){var a={},b;for(b in sre.DynamicCstr.Axis)a[sre.DynamicCstr.Axis[b]]={};return a};sre.DynamicCstr.getAxisValues=function(){return sre.DynamicCstr.Values_.getInstance().get()};sre.DynamicCstr.DEFAULT_ORDER=[sre.DynamicCstr.Axis.LOCALE,sre.DynamicCstr.Axis.DOMAIN,sre.DynamicCstr.Axis.STYLE,sre.DynamicCstr.Axis.TOPIC,sre.DynamicCstr.Axis.MODALITY];sre.DynamicCstr.DEFAULT_VALUE="default";sre.DynamicCstr.DEFAULT_VALUES={};
-sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]="en";sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.TOPIC]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.Parser=function(a){this.order_=a};
-sre.DynamicCstr.Parser.prototype.parse=function(a){a=a.split(".");var b={};if(a.length>this.order_.length)throw Error("Invalid dynamic constraint: "+b);for(var c=0,d;d=this.order_[c],a.length;c++){var e=a.shift();b[d]=e}return new sre.DynamicCstr(b,this.order_.slice(0,c))};sre.DynamicCstr.Comparator=function(){};sre.DynamicCstr.Comparator.prototype.getReference=function(){};sre.DynamicCstr.Comparator.prototype.setReference=function(a,b){};sre.DynamicCstr.Comparator.prototype.match=function(a){};
-sre.DynamicCstr.Comparator.prototype.compare=function(a,b){};sre.DynamicCstr.DefaultComparator=function(a,b){this.reference_=a;this.fallback_=b||new sre.DynamicProperties(a.getProperties(),a.getOrder());this.order_=this.reference_.getOrder()};sre.DynamicCstr.DefaultComparator.prototype.getReference=function(){return this.reference_};
-sre.DynamicCstr.DefaultComparator.prototype.setReference=function(a,b){this.reference_=a;this.fallback_=b||new sre.DynamicProperties(a.getProperties(),a.getOrder());this.order_=this.reference_.getOrder()};sre.DynamicCstr.DefaultComparator.prototype.match=function(a){var b=a.getAxes();return b.length===this.reference_.getAxes().length&&b.every(goog.bind(function(b){var c=a.getValue(b);return c===this.reference_.getValue(b)||-1!==this.fallback_.getProperty(b).indexOf(c)},this))};
-sre.DynamicCstr.DefaultComparator.prototype.compare=function(a,b){for(var c=!1,d=0,e;e=this.order_[d];d++){var f=a.getValue(e),g=b.getValue(e);if(!c){var h=this.reference_.getValue(e);if(h===f&&h!==g)return-1;if(h===g&&h!==f)return 1;if(h===f&&h===g)continue;h!==f&&h!==g&&(c=!0)}e=this.fallback_.getProperty(e);f=e.indexOf(f);g=e.indexOf(g);if(f<g)return-1;if(g<f)return 1}return 0};
+sre.DynamicCstr.prototype.getValues=function(){var a=[];this.order_.forEach(goog.bind(function(b){a.push(this.getValue(b))},this));return a};sre.DynamicCstr.prototype.allProperties=function(){for(var a=sre.DynamicCstr.superClass_.allProperties.call(this),b=0,c,d;c=a[b],d=this.order_[b];b++)d=this.getValue(d),-1===c.indexOf(d)&&c.unshift(d);return a};sre.DynamicCstr.prototype.toString=function(){return this.getValues().join(".")};
+sre.DynamicCstr.prototype.equal=function(a){var b=a.getAxes();if(this.order_.length!==b.length)return!1;for(var c=0,d;d=b[c];c++){var e=this.getValue(d);if(!e||a.getValue(d)!==e)return!1}return!0};sre.DynamicCstr.Axis={DOMAIN:"domain",STYLE:"style",LOCALE:"locale",TOPIC:"topic",MODALITY:"modality"};sre.DynamicCstr.Values_=function(){this.axisToValues=sre.DynamicCstr.Values_.makeAxisValueObject_()};goog.addSingletonGetter(sre.DynamicCstr.Values_);
+sre.DynamicCstr.Values_.prototype.add=function(a,b){this.axisToValues[a][b]=!0};sre.DynamicCstr.Values_.prototype.get=function(){var a={},b=sre.DynamicCstr.Values_.getInstance().axisToValues,c;for(c in b)a[c]=Object.keys(b[c]);return a};sre.DynamicCstr.Values_.makeAxisValueObject_=function(){var a={},b;for(b in sre.DynamicCstr.Axis)a[sre.DynamicCstr.Axis[b]]={};return a};sre.DynamicCstr.getAxisValues=function(){return sre.DynamicCstr.Values_.getInstance().get()};
+sre.DynamicCstr.DEFAULT_ORDER=[sre.DynamicCstr.Axis.LOCALE,sre.DynamicCstr.Axis.MODALITY,sre.DynamicCstr.Axis.DOMAIN,sre.DynamicCstr.Axis.STYLE,sre.DynamicCstr.Axis.TOPIC];sre.DynamicCstr.DEFAULT_VALUE="default";sre.DynamicCstr.DEFAULT_VALUES={};sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]="en";sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE]=sre.DynamicCstr.DEFAULT_VALUE;
+sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.TOPIC]=sre.DynamicCstr.DEFAULT_VALUE;sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]="speech";sre.DynamicCstr.Parser=function(a){this.order_=a};sre.DynamicCstr.Parser.prototype.parse=function(a){a=a.split(".");var b={};if(a.length>this.order_.length)throw Error("Invalid dynamic constraint: "+b);for(var c=0,d;d=this.order_[c],a.length;c++){var e=a.shift();b[d]=e}return new sre.DynamicCstr(b,this.order_.slice(0,c))};
+sre.DynamicCstr.Comparator=function(){};sre.DynamicCstr.Comparator.prototype.getReference=function(){};sre.DynamicCstr.Comparator.prototype.setReference=function(a,b){};sre.DynamicCstr.Comparator.prototype.match=function(a){};sre.DynamicCstr.Comparator.prototype.compare=function(a,b){};sre.DynamicCstr.DefaultComparator=function(a,b){this.reference_=a;this.fallback_=b||new sre.DynamicProperties(a.getProperties(),a.getOrder());this.order_=this.reference_.getOrder()};
+sre.DynamicCstr.DefaultComparator.prototype.getReference=function(){return this.reference_};sre.DynamicCstr.DefaultComparator.prototype.setReference=function(a,b){this.reference_=a;this.fallback_=b||new sre.DynamicProperties(a.getProperties(),a.getOrder());this.order_=this.reference_.getOrder()};
+sre.DynamicCstr.DefaultComparator.prototype.match=function(a){var b=a.getAxes();return b.length===this.reference_.getAxes().length&&b.every(goog.bind(function(c){var d=a.getValue(c);return d===this.reference_.getValue(c)||-1!==this.fallback_.getProperty(c).indexOf(d)},this))};
+sre.DynamicCstr.DefaultComparator.prototype.compare=function(a,b){for(var c=!1,d=0,e;e=this.order_[d];d++){var f=a.getValue(e),g=b.getValue(e);if(!c){var h=this.reference_.getValue(e);if(h===f&&h!==g)return-1;if(h===g&&h!==f)return 1;if(h===f&&h===g)continue;h!==f&&h!==g&&(c=!0)}e=this.fallback_.getProperty(e);f=e.indexOf(f);g=e.indexOf(g);if(f<g)return-1;if(g<f)return 1}return 0};sre.DynamicCstr.DefaultComparator.prototype.toString=function(){return this.reference_.toString()+"\n"+this.fallback_.toString()};
 sre.DynamicProperties.create=function(a){for(var b=sre.DynamicCstr.DEFAULT_ORDER,c={},d=Array.prototype.slice.call(arguments,0),e=0,f=d.length,g=b.length;e<f&&e<g;e++)c[b[e]]=d[e];return new sre.DynamicProperties(c)};sre.DynamicCstr.create=function(a){for(var b=sre.DynamicCstr.DEFAULT_ORDER,c={},d=Array.prototype.slice.call(arguments,0),e=0,f=d.length,g=b.length;e<f&&e<g;e++)c[b[e]]=d[e];return new sre.DynamicCstr(c)};
-sre.DynamicCstr.defaultCstr=function(){return sre.DynamicCstr.create.apply(null,sre.DynamicCstr.DEFAULT_ORDER.map(function(a){return sre.DynamicCstr.DEFAULT_VALUES[a]}))};sre.DynamicCstr.validOrder=function(a){var b=sre.DynamicCstr.DEFAULT_ORDER.slice();return a.every(function(a){a=b.indexOf(a);return-1!==a&&b.splice(a,1)})};sre.Engine=function(){this.alternativeHost=this.activeHost=null;this.evaluator=sre.Engine.defaultEvaluator;this.dynamicCstr=sre.DynamicCstr.defaultCstr();this.comparator=null;this.domain=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN];this.style="short";this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE];this.walker="Syntax";this.semantics=!0;this.mode=sre.Engine.Mode.SYNC;this.speech=sre.Engine.Speech.SHALLOW;this.structure=!1;this.ruleSets=[];this.cache=!0;this.markup=
-sre.Engine.Markup.NONE;this.isEdge=this.isIE=this.strict=!1;this.setupTests_=[]};goog.addSingletonGetter(sre.Engine);sre.Engine.personalityProps={PITCH:"pitch",RATE:"rate",VOLUME:"volume",PAUSE:"pause"};sre.Engine.Mode={SYNC:"sync",ASYNC:"async",HTTP:"http"};sre.Engine.Speech={NONE:"none",SHALLOW:"shallow",DEEP:"deep"};sre.Engine.Markup={NONE:"none",SSML:"ssml",ACSS:"acss",SABLE:"sable",VOICEXML:"voicexml"};sre.Engine.registerTest=function(a){sre.Engine.getInstance().setupTests_.push(a)};
-sre.Engine.isReady=function(){return sre.Engine.getInstance().setupTests_.every(function(a){return a()})};sre.Engine.prototype.setupBrowsers=function(){this.isIE=sre.BrowserUtil.detectIE();this.isEdge=sre.BrowserUtil.detectEdge()};sre.Engine.prototype.getAxisValues=function(){return sre.DynamicCstr.getAxisValues()};sre.Engine.defaultEvaluator=function(a,b){return a};sre.AudioUtil={};sre.AudioUtil.mergePause=function(a,b,c){return a?{pause:(c||function(a,b){return a+b}).call(null,a.pause,b.pause)}:b};sre.AudioUtil.mergeMarkup=function(a,b){delete a.open;b.close.forEach(function(b){delete a[b]});b.open.forEach(function(c){a[c]=b[c]});var c=Object.keys(a);a.open=c};
-sre.AudioUtil.sortClose=function(a,b){if(1>=a.length)return a;for(var c=[],d=0,e;e=b[d],a.length;d++)e.close&&e.close.length&&e.close.forEach(function(b){var d=a.indexOf(b);-1!==d&&(c.unshift(b),a.splice(d,1))});return c};sre.AudioUtil.PersonalityRanges_={};sre.AudioUtil.LastOpen_=[];
-sre.AudioUtil.personalityMarkup=function(a){sre.AudioUtil.PersonalityRanges_={};sre.AudioUtil.LastOpen_=[];for(var b=[],c={},d=0,e;e=a[d];d++){var f=null,g=e.descriptionString();e=e.personality;void 0!==e[sre.Engine.personalityProps.PAUSE]&&(f={},f[sre.Engine.personalityProps.PAUSE]=e[sre.Engine.personalityProps.PAUSE],delete e[sre.Engine.personalityProps.PAUSE]);e=sre.AudioUtil.personalityDiff_(e,c);sre.AudioUtil.appendMarkup_(b,g,e,f,!0)}return b};
-sre.AudioUtil.isMarkupElement=function(a){return"object"===typeof a&&a.open};sre.AudioUtil.isPauseElement=function(a){return"object"===typeof a&&1===Object.keys(a).length&&Object.keys(a)[0]===sre.Engine.personalityProps.PAUSE};sre.AudioUtil.isStringElement=function(a){return"object"===typeof a&&1===Object.keys(a).length&&"string"===Object.keys(a)[0]};
-sre.AudioUtil.appendMarkup_=function(a,b,c,d,e){if(e){if((e=a[a.length-1])&&!b&&d&&sre.AudioUtil.isPauseElement(e)){var f=sre.Engine.personalityProps.PAUSE;e[f]+=d[f];d=null}e&&b&&0===Object.keys(c).length&&sre.AudioUtil.isStringElement(e)&&(e.string+=" "+b,b="")}0!==Object.keys(c).length&&a.push(c);b&&a.push({string:b});d&&a.push(d)};
-sre.AudioUtil.personalityDiff_=function(a,b){if(!b)return a;var c={};for(h in sre.Engine.personalityProps){var d=sre.Engine.personalityProps[h],e=a[d],f=b[d];if(!(!e&&!f||e&&f&&e===f)){var g=e||0;sre.AudioUtil.isMarkupElement(c)||(c.open=[],c.close=[]);e||c.close.push(d);f||c.open.push(d);f&&e&&(c.close.push(d),c.open.push(d));b[d]=g;c[d]=g;sre.AudioUtil.PersonalityRanges_[d]?sre.AudioUtil.PersonalityRanges_[d].push(g):sre.AudioUtil.PersonalityRanges_[d]=[g]}}if(sre.AudioUtil.isMarkupElement(c)){for(a=
-c.close.slice();0<a.length;){var h=sre.AudioUtil.LastOpen_.pop();d=sre.BaseUtil.setdifference(h,a);a=sre.BaseUtil.setdifference(a,h);h=d;if(0===a.length)0!==h.length&&sre.AudioUtil.LastOpen_.push(h);else if(0!==h.length)for(c.close=c.close.concat(h),c.open=c.open.concat(h),d=0;e=h[d];d++)c[e]=b[e]}sre.AudioUtil.LastOpen_.push(c.open)}return c};sre.AudioRenderer=function(){};sre.AudioRenderer.prototype.setSeparator=function(a){};sre.AudioRenderer.prototype.getSeparator=function(){};sre.AudioRenderer.prototype.markup=function(a){};sre.AudioRenderer.prototype.error=function(a){};sre.AudioRenderer.prototype.merge=function(a){};sre.AbstractAudioRenderer=function(){this.separator_=" "};sre.AbstractAudioRenderer.prototype.setSeparator=function(a){this.separator_=a};sre.AbstractAudioRenderer.prototype.getSeparator=function(){return this.separator_};sre.AbstractAudioRenderer.prototype.markup=goog.abstractMethod;sre.AbstractAudioRenderer.prototype.error=function(a){return null};sre.AbstractAudioRenderer.prototype.merge=function(a){return a.join(" ")};sre.MarkupRenderer=function(){sre.AbstractAudioRenderer.call(this);this.scaleFunction_=null};goog.inherits(sre.MarkupRenderer,sre.AbstractAudioRenderer);sre.MarkupRenderer.prototype.setScaleFunction=function(a,b,c,d,e){var f=e||0;this.scaleFunction_=function(e){e=(e-a)/(b-a);return+(Math.round(c*(1-e)+d*e+"e+"+f)+"e-"+f)}};sre.MarkupRenderer.prototype.applyScaleFunction=function(a){return this.scaleFunction_?this.scaleFunction_(a):a};sre.MarkupRenderer.prototype.pause=goog.abstractMethod;
-sre.MarkupRenderer.prototype.prosodyElement=goog.abstractMethod;sre.AcssRenderer=function(){sre.MarkupRenderer.call(this)};goog.inherits(sre.AcssRenderer,sre.MarkupRenderer);
-sre.AcssRenderer.prototype.markup=function(a){this.setScaleFunction(-2,2,0,10,0);a=sre.AudioUtil.personalityMarkup(a);for(var b=[],c={open:[]},d=null,e=!1,f=0,g;g=a[f];f++)if(sre.AudioUtil.isMarkupElement(g))sre.AudioUtil.mergeMarkup(c,g);else if(sre.AudioUtil.isPauseElement(g))e&&(d=sre.AudioUtil.mergePause(d,g,Math.max));else{g='"'+g.string+'"';e=!0;d&&(b.push(this.pause(d)),d=null);var h=this.prosody_(c);b.push(h?"(text ("+h+") "+g+")":g)}return"(exp "+b.join(this.getSeparator())+")"};
-sre.AcssRenderer.prototype.merge=function(a){return"(exp "+a.map(function(a){return a.replace(/^\(exp /,"").replace(/\)$/,"")}).join(" ")+")"};sre.AcssRenderer.prototype.error=function(a){return'(error "'+a+'")'};sre.AcssRenderer.prototype.prosody_=function(a){for(var b=a.open,c=[],d=0,e;e=b[d];d++)c.push(this.prosodyElement(e,a[e]));return c.join(" ")};
-sre.AcssRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);switch(a){case sre.Engine.personalityProps.RATE:return"(richness . "+b+")";case sre.Engine.personalityProps.PITCH:return"(average-pitch . "+b+")";case sre.Engine.personalityProps.VOLUME:return"(stress . "+b+")"}return"(value . "+b+")"};sre.AcssRenderer.prototype.pause=function(a){return"(pause . "+a[sre.Engine.personalityProps.PAUSE]+")"};sre.XmlRenderer=function(){sre.MarkupRenderer.call(this)};goog.inherits(sre.XmlRenderer,sre.MarkupRenderer);
-sre.XmlRenderer.prototype.markup=function(a){this.setScaleFunction(-2,2,-100,100,2);a=sre.AudioUtil.personalityMarkup(a);for(var b=[],c=[],d=0,e;e=a[d];d++)if(e.string)b.push(e.string);else if(sre.AudioUtil.isPauseElement(e))b.push(this.pause(e));else{if(e.close.length)for(var f=0;f<e.close.length;f++){var g=c.pop();if(-1===e.close.indexOf(g))throw Error("Unknown closing markup element: "+g);b.push(this.closeTag(g))}e.open.length&&sre.AudioUtil.sortClose(e.open.slice(),a.slice(d+1)).forEach(goog.bind(function(a){b.push(this.prosodyElement(a,
-e[a]));c.push(a)},this))}return b.join(this.getSeparator())};sre.XmlRenderer.prototype.closeTag=goog.abstractMethod;sre.SableRenderer=function(){sre.XmlRenderer.call(this)};goog.inherits(sre.SableRenderer,sre.XmlRenderer);sre.SableRenderer.prototype.pause=function(a){return'<BREAK MSEC="'+a[sre.Engine.personalityProps.PAUSE]+'"/>'};
-sre.SableRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);switch(a){case sre.Engine.personalityProps.PITCH:return'<PITCH BASE="'+b+'%">';case sre.Engine.personalityProps.RATE:return'<RATE SPEED="'+b+'%">';case sre.Engine.personalityProps.VOLUME:return'<VOLUME LEVEL="'+b+'%">';default:return"<"+a.toUpperCase()+' VALUE="'+b+'">'}};sre.SableRenderer.prototype.closeTag=function(a){return"</"+a.toUpperCase()+">"};sre.SsmlRenderer=function(){sre.XmlRenderer.call(this)};goog.inherits(sre.SsmlRenderer,sre.XmlRenderer);sre.SsmlRenderer.prototype.pause=function(a){return'<BREAK TIME="'+a[sre.Engine.personalityProps.PAUSE]+'ms"/>'};sre.SsmlRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);b=0>b?b.toString():"+"+b;return"<PROSODY "+a.toUpperCase()+'="'+b+(a===sre.Engine.personalityProps.VOLUME?">":'%">')};sre.SsmlRenderer.prototype.closeTag=function(a){return"</PROSODY>"};sre.BaseUtil={};sre.BaseUtil.removeEmpty=function(a){return a.filter(function(a){return a})};sre.BaseUtil.interleaveLists=function(a,b){for(var c=[];a.length||b.length;)a.length&&c.push(a.shift()),b.length&&c.push(b.shift());return c};sre.BaseUtil.setdifference=function(a,b){return a?b?a.filter(function(a){return 0>b.indexOf(a)}):a:[]};sre.BaseUtil.union=function(a,b){return a&&b?a.concat(sre.BaseUtil.setdifference(b,a)):a||b||[]};sre.BaseUtil.makePath=function(a){return a.match("/$")?a:a+"/"};sre.StringRenderer=function(){sre.AbstractAudioRenderer.call(this)};goog.inherits(sre.StringRenderer,sre.AbstractAudioRenderer);sre.StringRenderer.prototype.markup=function(a){return sre.BaseUtil.removeEmpty(a.map(function(a){return a.descriptionString()})).join(this.getSeparator())};sre.AuralRendering=function(){};goog.addSingletonGetter(sre.AuralRendering);sre.AuralRendering.prototype.setSeparator=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];b&&b.setSeparator(a)};sre.AuralRendering.prototype.getSeparator=function(){var a=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return a?a.getSeparator():""};
-sre.AuralRendering.prototype.markup=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.markup(a):""};sre.AuralRendering.prototype.merge=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.merge(a):a.join()};sre.AuralRendering.prototype.error=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.error(a):""};
-sre.AuralRendering.registerRenderer=function(a,b){sre.AuralRendering.rendererMapping_[a]=b};sre.AuralRendering.rendererMapping_={};sre.AuralRendering.registerRenderer(sre.Engine.Markup.NONE,new sre.StringRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.ACSS,new sre.AcssRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.SABLE,new sre.SableRenderer);sre.AuralRendering.xmlInstance=new sre.SsmlRenderer;sre.AuralRendering.registerRenderer(sre.Engine.Markup.VOICEXML,sre.AuralRendering.xmlInstance);
-sre.AuralRendering.registerRenderer(sre.Engine.Markup.SSML,sre.AuralRendering.xmlInstance);sre.Debugger=function(){this.isActive_=!1;this.outputFunction_=console.log;this.stream_=null};goog.addSingletonGetter(sre.Debugger);sre.Debugger.prototype.init=function(a){a&&this.startDebugFile_(a);this.isActive_=!0};
-sre.Debugger.prototype.startDebugFile_=function(a){this.stream_=sre.SystemExternal.fs.createWriteStream(a);this.outputFunction_=goog.bind(function(a){var b=Array.prototype.slice.call(arguments,0);this.stream_.write(b.join(" "));this.stream_.write("\n")},this);this.stream_.on("error",goog.bind(function(a){console.log("Invalid log file. Debug information sent to console.");this.outputFunction_=console.log},this));this.stream_.on("finish",function(){console.log("Finalizing debug file.")})};
-sre.Debugger.prototype.output_=function(a){this.outputFunction_.apply(console.log===this.outputFunction_?console:this.outputFunction_,["Speech Rule Engine Debugger:"].concat(a))};sre.Debugger.prototype.output=function(a){this.isActive_&&this.output_(Array.prototype.slice.call(arguments,0))};sre.Debugger.prototype.generateOutput=function(a){this.isActive_&&this.output_(a.apply(a,[]))};sre.Debugger.prototype.exit=function(a){this.isActive_&&this.stream_&&this.stream_.end("","",a||function(){})};sre.XpathUtil={};sre.XpathUtil.xpathSupported=function(){return"undefined"==typeof XPathResult?!1:!0};sre.XpathUtil.currentDocument=null;sre.XpathUtil.xpathEvaluate=sre.XpathUtil.xpathSupported()?document.evaluate:sre.SystemExternal.xpath.evaluate;sre.XpathUtil.xpathResult=sre.XpathUtil.xpathSupported()?XPathResult:sre.SystemExternal.xpath.XPathResult;sre.XpathUtil.createNSResolver=sre.XpathUtil.xpathSupported()?document.createNSResolver:sre.SystemExternal.xpath.createNSResolver;
-sre.XpathUtil.nameSpaces_={xhtml:"http://www.w3.org/1999/xhtml",mathml:"http://www.w3.org/1998/Math/MathML",svg:"http://www.w3.org/2000/svg"};sre.XpathUtil.resolveNameSpace=function(a){return sre.XpathUtil.nameSpaces_[a]||null};sre.XpathUtil.resolver_=function(){this.lookupNamespaceURI=sre.XpathUtil.resolveNameSpace};
+sre.DynamicCstr.defaultCstr=function(){return sre.DynamicCstr.create.apply(null,sre.DynamicCstr.DEFAULT_ORDER.map(function(a){return sre.DynamicCstr.DEFAULT_VALUES[a]}))};sre.DynamicCstr.validOrder=function(a){var b=sre.DynamicCstr.DEFAULT_ORDER.slice();return a.every(function(c){c=b.indexOf(c);return-1!==c&&b.splice(c,1)})};sre.Engine=function(){this.evaluator=sre.Engine.defaultEvaluator;this.parser=this.defaultParser=new sre.DynamicCstr.Parser(sre.DynamicCstr.DEFAULT_ORDER);this.parsers={};this.dynamicCstr=sre.DynamicCstr.defaultCstr();this.comparator=null;this.comparators={};this.domain=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN];this.style=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE];this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE];this.modality=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY];
+this.walker="Table";this.mode=sre.Engine.Mode.SYNC;this.speech=sre.Engine.Speech.NONE;this.structure=!1;this.ruleSets=[];this.cache=!0;this.markup=sre.Engine.Markup.NONE;this.isEdge=this.isIE=this.strict=!1;this.rate="100";this.pprint=!1;this.setupTests_=[];this.config=!1};goog.addSingletonGetter(sre.Engine);sre.Engine.personalityProps={PITCH:"pitch",RATE:"rate",VOLUME:"volume",PAUSE:"pause",JOIN:"join"};sre.Engine.Mode={SYNC:"sync",ASYNC:"async",HTTP:"http"};
+sre.Engine.Speech={NONE:"none",SHALLOW:"shallow",DEEP:"deep"};sre.Engine.Markup={NONE:"none",PUNCTUATION:"punctuation",SSML:"ssml",SSML_STEP:"ssml_step",ACSS:"acss",SABLE:"sable",VOICEXML:"voicexml"};sre.Engine.registerTest=function(a){sre.Engine.getInstance().setupTests_.push(a)};sre.Engine.isReady=function(){return sre.Engine.getInstance().setupTests_.every(function(a){return a()})};sre.Engine.prototype.setupBrowsers=function(){this.isIE=sre.BrowserUtil.detectIE();this.isEdge=sre.BrowserUtil.detectEdge()};
+sre.Engine.prototype.getAxisValues=function(){return sre.DynamicCstr.getAxisValues()};sre.Engine.defaultEvaluator=function(a,b){return a};sre.Engine.prototype.getRate=function(){var a=parseInt(this.rate,10);return isNaN(a)?100:a};sre.Engine.Error=function(a){Error.call(this);this.message=a||"";this.name="SRE Error"};goog.inherits(sre.Engine.Error,Error);sre.Engine.BINARY_FEATURES=["strict","cache","structure","pprint"];sre.Engine.STRING_FEATURES="markup style domain speech walker locale modality rate".split(" ");
+sre.Engine.prototype.setDynamicCstr=function(a){if(a)for(var b=Object.keys(a),c=0;c<b.length;c++){var d=b[c];-1!==sre.DynamicCstr.DEFAULT_ORDER.indexOf(d)&&(this[d]=a[d])}sre.Engine.DOMAIN_TO_STYLES[this.domain]=this.style;a=[this.locale,this.modality,this.domain,this.style].join(".");b=sre.DynamicProperties.create([sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]],
+[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE]]);c=this.comparators[this.domain];this.parser=(d=this.parsers[this.domain])?d:this.defaultParser;this.dynamicCstr=this.parser.parse(a);this.dynamicCstr.updateProperties(b.getProperties());this.comparator=c?c():new sre.DynamicCstr.DefaultComparator(this.dynamicCstr)};sre.Engine.DOMAIN_TO_STYLES={mathspeak:"default",clearspeak:"default"};sre.BaseUtil={};sre.BaseUtil.removeEmpty=function(a){return a.filter(function(b){return b})};sre.BaseUtil.interleaveLists=function(a,b){for(var c=[];a.length||b.length;)a.length&&c.push(a.shift()),b.length&&c.push(b.shift());return c};sre.BaseUtil.setdifference=function(a,b){return a?b?a.filter(function(c){return 0>b.indexOf(c)}):a:[]};sre.BaseUtil.union=function(a,b){return a&&b?a.concat(sre.BaseUtil.setdifference(b,a)):a||b||[]};sre.BaseUtil.makePath=function(a){return a.match("/$")?a:a+"/"};sre.Debugger=function(){this.isActive_=!1;this.outputFunction_=console.info;this.stream_=null};goog.addSingletonGetter(sre.Debugger);sre.Debugger.prototype.init=function(a){a&&this.startDebugFile_(a);this.isActive_=!0};
+sre.Debugger.prototype.startDebugFile_=function(a){this.stream_=sre.SystemExternal.fs.createWriteStream(a);this.outputFunction_=goog.bind(function(b){var c=Array.prototype.slice.call(arguments,0);this.stream_.write(c.join(" "));this.stream_.write("\n")},this);this.stream_.on("error",goog.bind(function(b){console.info("Invalid log file. Debug information sent to console.");this.outputFunction_=console.info},this));this.stream_.on("finish",function(){console.info("Finalizing debug file.")})};
+sre.Debugger.prototype.output_=function(a){this.outputFunction_.apply(console.info===this.outputFunction_?console:this.outputFunction_,["Speech Rule Engine Debugger:"].concat(a))};sre.Debugger.prototype.output=function(a){this.isActive_&&this.output_(Array.prototype.slice.call(arguments,0))};sre.Debugger.prototype.generateOutput=function(a){this.isActive_&&this.output_(a.apply(a,[]))};sre.Debugger.prototype.exit=function(a){this.isActive_&&this.stream_&&this.stream_.end("","",a||function(){})};sre.Grammar=function(){this.parameters_={};this.corrections_={};this.preprocessors_={};this.stateStack_=[];this.currentFlags={}};goog.addSingletonGetter(sre.Grammar);sre.Grammar.ATTRIBUTE="grammar";sre.Grammar.prototype.clear=function(){this.parameters_={};this.stateStack_=[]};sre.Grammar.prototype.setParameter=function(a,b){var c=this.parameters_[a];b?this.parameters_[a]=b:delete this.parameters_[a];return c};sre.Grammar.prototype.getParameter=function(a){return this.parameters_[a]};
+sre.Grammar.prototype.setCorrection=function(a,b){this.corrections_[a]=b};sre.Grammar.prototype.setPreprocessor=function(a,b){this.preprocessors_[a]=b};sre.Grammar.prototype.getCorrection=function(a){return this.corrections_[a]};sre.Grammar.prototype.getState=function(){var a=[],b;for(b in this.parameters_){var c=this.parameters_[b];a.push("string"===typeof c?b+":"+c:b)}return a.join(" ")};sre.Grammar.prototype.pushState=function(a){for(var b in a)a[b]=this.setParameter(b,a[b]);this.stateStack_.push(a)};
+sre.Grammar.prototype.popState=function(){var a=this.stateStack_.pop(),b;for(b in a)this.setParameter(b,a[b])};sre.Grammar.prototype.setAttribute=function(a){if(a&&a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE){var b=this.getState();b&&a.setAttribute(sre.Grammar.ATTRIBUTE,b)}};sre.Grammar.prototype.preprocess=function(a){return this.runProcessors_(a,this.preprocessors_)};sre.Grammar.prototype.correct=function(a){return this.runProcessors_(a,this.corrections_)};
+sre.Grammar.prototype.runProcessors_=function(a,b){for(var c in this.parameters_){var d=b[c];if(d){var e=this.parameters_[c];a=!0===e?d(a):d(a,e)}}return a};sre.Grammar.translateString_=function(a){a=sre.Grammar.prepareUnit_(a);var b=sre.Engine.getInstance();a=b.evaluator(a,b.dynamicCstr)||a;return sre.Grammar.cleanUnit_(a)};sre.Grammar.prepareUnit_=function(a){var b=a.match(/:unit$/);return b?a.slice(0,b.index).replace(/\s+/g," ")+a.slice(b.index):a};
+sre.Grammar.cleanUnit_=function(a){return a.match(/:unit$/)?(sre.Grammar.getInstance().setParameter("plural",!1),a.replace(/:unit$/,"")):a};
+sre.Grammar.prototype.apply=function(a,b){this.currentFlags=b||{};a=this.currentFlags.adjust||this.currentFlags.preprocess?sre.Grammar.getInstance().preprocess(a):a;if(this.parameters_.translate||this.currentFlags.translate)a=sre.Grammar.translateString_(a);a=this.currentFlags.adjust||this.currentFlags.correct?sre.Grammar.getInstance().correct(a):a;this.currentFlags={};return a};
+sre.Grammar.parseState=function(a){var b={};a=a.split(" ");for(var c=0,d=a.length;c<d;c++){var e=a[c].split(":"),f=e[1];b[e[0]]=f?f:!0}return b};sre.Grammar.parseInput=function(a){var b={};a=a.split(":");for(var c=0,d=a.length;c<d;c++){var e=a[c].split("="),f=e[0].trim();e[1]?b[f]=e[1].trim():f.match(/^!/)?b[f.slice(1)]=!1:b[f]=!0}return b};sre.Grammar.correctFont_=function(a,b){if(!b||!a)return a;b=sre.Messages.MS_FUNC.FONT_REGEXP(sre.Locale.localFont(b));return a.replace(b,"")};
+sre.Grammar.addAnnotation_=function(a,b){return a+":"+b};sre.Grammar.noTranslateText_=function(a){a.match(new RegExp("^["+sre.Messages.REGEXP.TEXT+"]+$"))&&(sre.Grammar.getInstance().currentFlags.translate=!1);return a};sre.Grammar.getInstance().setCorrection("ignoreFont",sre.Grammar.correctFont_);sre.Grammar.getInstance().setPreprocessor("annotation",sre.Grammar.addAnnotation_);sre.Grammar.getInstance().setPreprocessor("noTranslateText",sre.Grammar.noTranslateText_);
+sre.Grammar.getInstance().setCorrection("ignoreCaps",sre.Grammar.correctFont_);sre.XpathUtil={};sre.XpathUtil.xpathSupported=function(){return"undefined"==typeof XPathResult?!1:!0};sre.XpathUtil.currentDocument=null;sre.XpathUtil.xpathEvaluate=sre.XpathUtil.xpathSupported()?document.evaluate:sre.SystemExternal.xpath.evaluate;sre.XpathUtil.xpathResult=sre.XpathUtil.xpathSupported()?XPathResult:sre.SystemExternal.xpath.XPathResult;sre.XpathUtil.createNSResolver=sre.XpathUtil.xpathSupported()?document.createNSResolver:sre.SystemExternal.xpath.createNSResolver;
+sre.XpathUtil.nameSpaces_={xhtml:"http://www.w3.org/1999/xhtml",mathml:"http://www.w3.org/1998/Math/MathML",mml:"http://www.w3.org/1998/Math/MathML",svg:"http://www.w3.org/2000/svg"};sre.XpathUtil.resolveNameSpace=function(a){return sre.XpathUtil.nameSpaces_[a]||null};sre.XpathUtil.resolver_=function(){this.lookupNamespaceURI=sre.XpathUtil.resolveNameSpace};
 sre.XpathUtil.evaluateXpath_=function(a,b,c){var d=sre.Engine.getInstance();return d.mode!==sre.Engine.Mode.HTTP||d.isIE||d.isEdge?sre.XpathUtil.xpathEvaluate(a,b,new sre.XpathUtil.resolver_,c,null):sre.XpathUtil.currentDocument.evaluate(a,b,sre.XpathUtil.resolveNameSpace,c,null)};sre.XpathUtil.evalXPath=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.ORDERED_NODE_ITERATOR_TYPE)}catch(d){return[]}a=[];for(b=c.iterateNext();b;b=c.iterateNext())a.push(b);return a};
-sre.XpathUtil.getLeafNodes=function(a){return sre.XpathUtil.evalXPath(".//*[count(*)=0]",a)};sre.XpathUtil.evaluateBoolean=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.BOOLEAN_TYPE)}catch(d){return!1}return c.booleanValue};sre.XpathUtil.evaluateString=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.STRING_TYPE)}catch(d){return""}return c.stringValue};sre.DomUtil={};sre.DomUtil.toArray=function(a){for(var b=[],c=0,d=a.length;c<d;c++)b.push(a[c]);return b};sre.DomUtil.trimInput_=function(a){a=a.replace(/&nbsp;/g," ");return a.replace(/>\s+</g,"><").trim()};sre.DomUtil.XML_ENTITIES={"&lt;":!0,"&gt;":!0,"&amp;":!0,"&quot;":!0,"&apos;":!0};
-sre.DomUtil.parseInput=function(a,b){b=b||Error;var c=new sre.SystemExternal.xmldom.DOMParser;a=sre.DomUtil.trimInput_(a);var d=!!a.match(/&(?!lt|gt|amp|quot|apos)\w+;/g);if(!a)throw new b("Empty input!");try{var e=c.parseFromString(a,d?"text/html":"text/xml");return sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP?(sre.XpathUtil.currentDocument=e,d?e.body.childNodes[0]:e.documentElement):e.documentElement}catch(f){throw new b("Illegal input: "+f.message);}};
-sre.DomUtil.NodeType={ELEMENT_NODE:1,ATTRIBUTE_NODE:2,TEXT_NODE:3,CDATA_SECTION_NODE:4,ENTITY_REFERENCE_NODE:5,ENTITY_NODE:6,PROCESSING_INSTRUCTION_NODE:7,COMMENT_NODE:8,DOCUMENT_NODE:9,DOCUMENT_TYPE_NODE:10,DOCUMENT_FRAGMENT_NODE:11,NOTATION_NODE:12};sre.DomUtil.replaceNode=function(a,b){a.parentNode&&(a.parentNode.insertBefore(b,a),a.parentNode.removeChild(a))};sre.DomUtil.createElement=function(a){return sre.SystemExternal.document.createElement(a)};sre.DomUtil.createTextNode=function(a){return sre.SystemExternal.document.createTextNode(a)};
-sre.DomUtil.formatXml=function(a){var b=/(>)(<)(\/*)/g;a=a.replace(b,"$1\r\n$2$3");b=/(>)(.+)(<c)/g;a=a.replace(b,"$1\r\n$2\r\n$3");var c="",d="";a.split("\r\n").forEach(function(a){a.match(/.+<\/\w[^>]*>$/)?c+=d+a+"\r\n":a.match(/^<\/\w/)?d&&(d=d.slice(2),c+=d+a+"\r\n"):a.match(/^<\w[^>]*[^\/]>.*$/)?(c+=d+a+"\r\n",d+="  "):c+=d+a+"\r\n"});return c};sre.DomUtil.dataAttribute=function(a){a.match(/^data-/)&&(a=a.substr(5));return a.replace(/-([a-z])/g,function(a,c){return c.toUpperCase()})};
+sre.XpathUtil.getLeafNodes=function(a){return sre.XpathUtil.evalXPath(".//*[count(*)=0]",a)};sre.XpathUtil.evaluateBoolean=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.BOOLEAN_TYPE)}catch(d){return!1}return c.booleanValue};sre.XpathUtil.evaluateString=function(a,b){try{var c=sre.XpathUtil.evaluateXpath_(a,b,sre.XpathUtil.xpathResult.STRING_TYPE)}catch(d){return""}return c.stringValue};sre.DomUtil={};sre.DomUtil.toArray=function(a){for(var b=[],c=0,d=a.length;c<d;c++)b.push(a[c]);return b};sre.DomUtil.trimInput_=function(a){a=a.replace(/&nbsp;/g,"\u00a0");return a.replace(/>[ \f\n\r\t\v\u200b]+</g,"><").trim()};sre.DomUtil.XML_ENTITIES={"&lt;":!0,"&gt;":!0,"&amp;":!0,"&quot;":!0,"&apos;":!0};
+sre.DomUtil.parseInput=function(a,b){b=b||sre.Engine.Error;var c=new sre.SystemExternal.xmldom.DOMParser;a=sre.DomUtil.trimInput_(a);var d=!!a.match(/&(?!lt|gt|amp|quot|apos)\w+;/g);if(!a)throw new b("Empty input!");try{var e=c.parseFromString(a,d?"text/html":"text/xml");return sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP?(sre.XpathUtil.currentDocument=e,d?e.body.childNodes[0]:e.documentElement):e.documentElement}catch(f){throw new b("Illegal input: "+f.message);}};
+sre.DomUtil.NodeType={ELEMENT_NODE:1,ATTRIBUTE_NODE:2,TEXT_NODE:3,CDATA_SECTION_NODE:4,ENTITY_REFERENCE_NODE:5,ENTITY_NODE:6,PROCESSING_INSTRUCTION_NODE:7,COMMENT_NODE:8,DOCUMENT_NODE:9,DOCUMENT_TYPE_NODE:10,DOCUMENT_FRAGMENT_NODE:11,NOTATION_NODE:12};sre.DomUtil.replaceNode=function(a,b){a.parentNode&&(a.parentNode.insertBefore(b,a),a.parentNode.removeChild(a))};sre.DomUtil.createElement=function(a){return sre.SystemExternal.document.createElement(a)};
+sre.DomUtil.createElementNS=function(a,b){return sre.SystemExternal.document.createElementNS(a,b)};sre.DomUtil.createTextNode=function(a){return sre.SystemExternal.document.createTextNode(a)};
+sre.DomUtil.formatXml=function(a){var b="",c=/(>)(<)(\/*)/g;a=a.replace(c,"$1\r\n$2$3");var d=0;a=a.split("\r\n");c=/(\.)*(<)(\/*)/g;for(a=a.map(function(h){return h.replace(c,"$1\r\n$2$3").split("\r\n")}).reduce(function(h,k){return h.concat(k)},[]);a.length;){var e=a.shift();if(e){var f=0;if(e.match(/^<\w[^>\/]*>[^>]+$/)){var g=sre.DomUtil.matchingStartEnd_(e,a[0]);g[0]?g[1]?(e+=a.shift().slice(0,-g[1].length),g[1].trim()&&a.unshift(g[1])):e+=a.shift():f=1}else e.match(/^<\/\w/)?0!=d&&--d:e.match(/^<\w[^>]*[^\/]>.*$/)?
+f=1:e.match(/^<\w[^>]*\/>.+$/)?(g=e.indexOf(">")+1,e.slice(g).trim()&&a.unshift(),e=e.slice(0,g)):f=0;b+=Array(d+1).join("  ")+e+"\r\n";d+=f}}return b};sre.DomUtil.matchingStartEnd_=function(a,b){if(!b)return[!1,""];a=a.match(/^<([^> ]+).*>/);b=b.match(/^<\/([^>]+)>(.*)/);return a&&b&&a[1]===b[1]?[!0,b[2]]:[!1,""]};sre.DomUtil.dataAttribute=function(a){a.match(/^data-/)&&(a=a.substr(5));return a.replace(/-([a-z])/g,function(b,c){return c.toUpperCase()})};
 sre.DomUtil.getDataAttribute=function(a,b){return a.dataset?a.dataset[sre.DomUtil.dataAttribute(b)]:a.getAttribute(b)};sre.DomUtil.querySelectorAllByAttr=function(a,b){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll("["+b+"]")):sre.XpathUtil.evalXPath(".//*[@"+b+"]",a)};sre.DomUtil.querySelectorAllByAttrValue=function(a,b,c){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll("["+b+'="'+c+'"]')):sre.XpathUtil.evalXPath(".//*[@"+b+'="'+c+'"]',a)};
-sre.DomUtil.querySelectorAll=function(a,b){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll(b)):sre.XpathUtil.evalXPath(".//"+b,a)};sre.DomUtil.tagName=function(a){return a.tagName.toUpperCase()};sre.EnrichCase=function(){};sre.EnrichCase.prototype.getMathml=function(){};sre.AbstractEnrichCase=function(a){this.semantic=a};sre.AbstractEnrichCase.prototype.getMathml=goog.abstractMethod;sre.AbstractEnrichCase.test=goog.abstractMethod;sre.EnrichCaseFactory=function(){};sre.EnrichCaseFactory.getEmbellishedCase=function(a){return new sre.EnrichCaseFactory.embellishedCase(a)};sre.EnrichCaseFactory.cases=[];sre.EnrichCaseFactory.getCase=function(a){for(var b=0,c;c=sre.EnrichCaseFactory.cases[b];b++)if(c.test(a))return new c.constr(a);return null};sre.SemanticUtil=function(){};sre.SemanticUtil.objectsToKeys=function(a){a=Array.prototype.slice.call(arguments,0);var b=[];return b.concat.apply(b,a.map(Object.keys))};sre.SemanticUtil.objectsToValues=function(a){a=Array.prototype.slice.call(arguments,0);var b=[];a.forEach(function(a){for(var c in a)b.push(a[c])});return b};
+sre.DomUtil.querySelectorAll=function(a,b){return a.querySelectorAll?sre.DomUtil.toArray(a.querySelectorAll(b)):sre.XpathUtil.evalXPath(".//"+b,a)};sre.DomUtil.tagName=function(a){return a.tagName.toUpperCase()};sre.Numbers={};sre.Numbers.identityTransformer_=function(a){return a.toString()};sre.Numbers.pluralTransformer_=function(a,b){return a.toString()};sre.Numbers.NUMBERS={wordOrdinal:sre.Numbers.identityTransformer_,simpleOrdinal:sre.Numbers.identityTransformer_,numberToWords:sre.Numbers.identityTransformer_,numberToOrdinal:sre.Numbers.pluralTransformer_,vulgarSep:" ",numSep:" "};sre.Messages={};sre.Messages.MS={START:"",FRAC_V:"",FRAC_B:"",FRAC_S:"",END:"",FRAC_OVER:"",TWICE:"",NEST_FRAC:"",ENDFRAC:"",SUPER:"",SUB:"",SUP:"",SUPERSCRIPT:"",SUBSCRIPT:"",BASELINE:"",BASE:"",NESTED:"",NEST_ROOT:"",STARTROOT:"",ENDROOT:"",ROOTINDEX:"",ROOT:"",INDEX:"",UNDER:"",UNDERSCRIPT:"",OVER:"",OVERSCRIPT:""};sre.Messages.MS_FUNC={FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:function(a){return""},COMBINE_ROOT_INDEX:function(a,b){return a}};sre.Messages.MS_ROOT_INDEX={};
+sre.Messages.FONT={bold:"","bold-fraktur":"","bold-italic":"","bold-script":"",caligraphic:"","caligraphic-bold":"","double-struck":"","double-struck-italic":"",fraktur:"",italic:"",monospace:"",normal:"",oldstyle:"","oldstyle-bold":"",script:"","sans-serif":"","sans-serif-italic":"","sans-serif-bold":"","sans-serif-bold-italic":"",unknown:""};
+sre.Messages.EMBELLISH={"super":"",sub:"",circled:"",parenthesized:"",period:"","negative-circled":"","double-circled":"","circled-sans-serif":"","negative-circled-sans-serif":"",blackboard:"",comma:"",squared:"","negative-squared":""};
+sre.Messages.ROLE={addition:"",multiplication:"",subtraction:"",division:"",equality:"",inequality:"",element:"",arrow:"",determinant:"",rowvector:"",binomial:"",squarematrix:"","set empty":"","set extended":"","set singleton":"","set collection":"",label:"",multiline:"",matrix:"",vector:"",cases:"",table:"",unknown:""};
+sre.Messages.ENCLOSE={longdiv:"",actuarial:"",radical:"",box:"",roundedbox:"",circle:"",left:"",right:"",top:"",bottom:"",updiagonalstrike:"",downdiagonalstrike:"",verticalstrike:"",horizontalstrike:"",madruwb:"",updiagonalarrow:"",phasorangle:"",unknown:""};sre.Messages.NAVIGATE={COLLAPSIBLE:"",EXPANDABLE:"",LEVEL:""};sre.Messages.REGEXP={TEXT:"a-zA-Z",NUMBER:"",DECIMAL_MARK:"",DIGIT_GROUP:"",JOINER_SUBSUPER:" "};sre.Messages.PLURAL_UNIT={};
+sre.Messages.PLURAL=function(a){return/.*s$/.test(a)?a:a+"s"};sre.Messages.UNIT_TIMES="";sre.Messages.NUMBERS=sre.Numbers.NUMBERS;sre.Messages.ALPHABETS={latinSmall:[],latinCap:[],greekSmall:[],greekCap:[]};sre.Messages.ALPHABET_PREFIXES={capPrefix:{default:""},smallPrefix:{default:""},digitPrefix:{default:""}};sre.Messages.identityTransformer_=function(a){return a.toString()};sre.Messages.ALPHABET_TRANSFORMERS={digit:{default:sre.Messages.identityTransformer_},letter:{default:sre.Messages.identityTransformer_}};
+sre.Messages.ALPHABET_COMBINER=function(a,b,c){return a};sre.NumbersUtil={};sre.NumbersUtil.ordinalCounter=function(a,b){var c=0;return function(){return sre.Messages.NUMBERS.simpleOrdinal(++c)+" "+b}};
+sre.NumbersUtil.convertVulgarFraction_=function(a){if(!a.childNodes||!a.childNodes[0]||!a.childNodes[0].childNodes||2>a.childNodes[0].childNodes.length||a.childNodes[0].childNodes[0].tagName!==sre.SemanticAttr.Type.NUMBER||a.childNodes[0].childNodes[0].getAttribute("role")!==sre.SemanticAttr.Role.INTEGER||a.childNodes[0].childNodes[1].tagName!==sre.SemanticAttr.Type.NUMBER||a.childNodes[0].childNodes[1].getAttribute("role")!==sre.SemanticAttr.Role.INTEGER)return{convertible:!1,content:a.textContent};
+var b=a.childNodes[0].childNodes[1].textContent;a=a.childNodes[0].childNodes[0].textContent;var c=Number(b),d=Number(a);return isNaN(c)||isNaN(d)?{convertible:!1,content:a+" "+sre.Messages.MS.FRAC_OVER+" "+b}:{convertible:!0,enumerator:d,denominator:c}};
+sre.NumbersUtil.vulgarFraction=function(a){a=sre.NumbersUtil.convertVulgarFraction_(a);return a.convertible&&a.enumerator&&a.denominator?sre.Messages.NUMBERS.numberToWords(a.enumerator)+sre.Messages.NUMBERS.vulgarSep+sre.Messages.NUMBERS.numberToOrdinal(a.denominator,1!==a.enumerator):a.content||""};sre.NumbersUtil.vulgarFractionSmall=function(a,b,c){var d=sre.NumbersUtil.convertVulgarFraction_(a);return d.convertible?(a=d.enumerator,d=d.denominator,0<a&&a<b&&0<d&&d<c):!1};
+sre.NumbersUtil.ordinalPosition=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes);return sre.Messages.NUMBERS.simpleOrdinal(b.indexOf(a)+1).toString()};sre.SemanticUtil=function(){};sre.SemanticUtil.objectsToKeys=function(a){a=Array.prototype.slice.call(arguments,0);var b=[];return b.concat.apply(b,a.map(Object.keys))};sre.SemanticUtil.objectsToValues=function(a){a=Array.prototype.slice.call(arguments,0);var b=[];a.forEach(function(c){for(var d in c)b.push(c[d])});return b};
 sre.SemanticUtil.unicodeToNumber=function(a){if(!a||2<a.length)return null;if(2==a.length){var b=a.charCodeAt(0);a=a.charCodeAt(1);return 55296<=b&&56319>=b&&!isNaN(a)?1024*(b-55296)+(a-56320)+65536:null}return a.charCodeAt(0)};sre.SemanticUtil.numberToUnicode=function(a){return 65536>a?String.fromCharCode(a):String.fromCharCode((a-65536)/1024+55296,(a-65536)%1024+56320)};
 sre.SemanticUtil.splitUnicode=function(a){a=a.split("");for(var b=[],c=0,d;d=a[c];c++)"\ud800"<=d&&"\udbff">=d&&a[c+1]?b.push(d+a[++c]):b.push(d);return b};sre.SemanticUtil.LEAFTAGS=["MO","MI","MN","MTEXT","MS"];sre.SemanticUtil.IGNORETAGS="MERROR MPHANTOM MSPACE MALIGNGROUP MALIGNMARK MPRESCRIPTS ANNOTATION ANNOTATION-XML".split(" ");sre.SemanticUtil.EMPTYTAGS="MATH MROW MPADDED MACTION NONE MSTYLE SEMANTICS".split(" ");sre.SemanticUtil.hasMathTag=function(a){return!!a&&"MATH"===sre.DomUtil.tagName(a)};
 sre.SemanticUtil.hasIgnoreTag=function(a){return!!a&&-1!==sre.SemanticUtil.IGNORETAGS.indexOf(sre.DomUtil.tagName(a))};sre.SemanticUtil.hasEmptyTag=function(a){return!!a&&-1!==sre.SemanticUtil.EMPTYTAGS.indexOf(sre.DomUtil.tagName(a))};sre.SemanticUtil.purgeNodes=function(a){for(var b=[],c=0,d;d=a[c];c++){var e=sre.DomUtil.tagName(d);-1!=sre.SemanticUtil.IGNORETAGS.indexOf(e)||-1!=sre.SemanticUtil.EMPTYTAGS.indexOf(e)&&0==d.childNodes.length||b.push(d)}return b};
 sre.SemanticUtil.isZeroLength=function(a){return a?-1!=="negativeveryverythinmathspace negativeverythinmathspace negativethinmathspace negativemediummathspace negativethickmathspace negativeverythickmathspace negativeveryverythickmathspace".split(" ").indexOf(a)?!0:(a=a.match(/[0-9\.]+/))?0===parseFloat(a)?!0:!1:!1:!1};sre.SemanticAttr=function(){this.generalPunctuations='!"#%&:;?@\\\u00a1\u00a7\u00b6\u00bf\u2017\u2020\u2021\u2022\u2023\u2024\u2025\u2027\u2030\u2031\u2038\u203b\u203c\u203d\u203e\u2041\u2042\u2043\u2047\u2048\u2049\u204b\u204c\u204d\u204e\u204f\u2050\u2051\u2053\u2055\u2056\u2058\u2059\u205a\u205b\u205c\u205d\u205e\ufe10\ufe13\ufe14\ufe15\ufe16\ufe30\ufe45\ufe46\ufe49\ufe4a\ufe4b\ufe4c\ufe50\ufe54\ufe55\ufe56\ufe57\ufe5f\ufe60\ufe61\ufe68\ufe6a\ufe6b\uff01\uff02\uff03\uff05\uff06\uff07\uff0a\uff0c\uff0f\uff1a\uff1b\uff1f\uff20\uff3c'.split("");
-this.invisibleComma_=sre.SemanticUtil.numberToUnicode(8291);this.commas=[",",this.invisibleComma_];this.ellipses="\u2026\u22ee\u22ef\u22f0\u22f1\ufe19".split("");this.fullStops=[".","\ufe52","\uff0e"];this.dashes="\u2012\u2013\u2014\u2015\u301c\ufe31\ufe32\ufe58".split("");this.primes="'\u2032\u2033\u2034\u2035\u2036\u2037\u2057".split("");this.openClosePairs={"(":")","[":"]","{":"}","\u2045":"\u2046","\u2329":"\u232a","\u2768":"\u2769","\u276a":"\u276b","\u276c":"\u276d","\u276e":"\u276f","\u2770":"\u2771",
-"\u2772":"\u2773","\u2774":"\u2775","\u27c5":"\u27c6","\u27e6":"\u27e7","\u27e8":"\u27e9","\u27ea":"\u27eb","\u27ec":"\u27ed","\u27ee":"\u27ef","\u2983":"\u2984","\u2985":"\u2986","\u2987":"\u2988","\u2989":"\u298a","\u298b":"\u298c","\u298d":"\u298e","\u298f":"\u2990","\u2991":"\u2992","\u2993":"\u2994","\u2995":"\u2996","\u2997":"\u2998","\u29d8":"\u29d9","\u29da":"\u29db","\u29fc":"\u29fd","\u2e22":"\u2e23","\u2e24":"\u2e25","\u2e26":"\u2e27","\u2e28":"\u2e29","\u3008":"\u3009","\u300a":"\u300b",
-"\u300c":"\u300d","\u300e":"\u300f","\u3010":"\u3011","\u3014":"\u3015","\u3016":"\u3017","\u3018":"\u3019","\u301a":"\u301b","\u301d":"\u301e","\ufd3e":"\ufd3f","\ufe17":"\ufe18","\ufe59":"\ufe5a","\ufe5b":"\ufe5c","\ufe5d":"\ufe5e","\uff08":"\uff09","\uff3b":"\uff3d","\uff5b":"\uff5d","\uff5f":"\uff60","\uff62":"\uff63","\u2308":"\u2309","\u230a":"\u230b","\u230c":"\u230d","\u230e":"\u230f","\u231c":"\u231d","\u231e":"\u231f","\u239b":"\u239e","\u239c":"\u239f","\u239d":"\u23a0","\u23a1":"\u23a4",
-"\u23a2":"\u23a5","\u23a3":"\u23a6","\u23a7":"\u23ab","\u23a8":"\u23ac","\u23a9":"\u23ad","\u23b0":"\u23b1","\u23b8":"\u23b9"};this.topBottomPairs={"\u23b4":"\u23b5","\u23dc":"\u23dd","\u23de":"\u23df","\u23e0":"\u23e1","\ufe35":"\ufe36","\ufe37":"\ufe38","\ufe39":"\ufe3a","\ufe3b":"\ufe3c","\ufe3d":"\ufe3e","\ufe3f":"\ufe40","\ufe41":"\ufe42","\ufe43":"\ufe44","\ufe47":"\ufe48"};this.leftFences=sre.SemanticUtil.objectsToKeys(this.openClosePairs);this.rightFences=sre.SemanticUtil.objectsToValues(this.openClosePairs);
-this.rightFences.push("\u301f");this.topFences=sre.SemanticUtil.objectsToKeys(this.topBottomPairs);this.bottomFences=sre.SemanticUtil.objectsToValues(this.topBottomPairs);this.neutralFences="|\u00a6\u2016\u2758\u2980\u2af4\uffe4\uff5c".split("");this.allFences=this.neutralFences.concat(this.leftFences,this.rightFences,this.topFences,this.bottomFences);this.capitalLatin="ABCDEFGHIJKLMNOPQRSTUVWXYZ".split("");this.smallLatin="abcdefghijklmnopqrstuvwxyz\u0131\u0237".split("");this.capitalLatinFullWidth=
-"\uff21\uff22\uff23\uff24\uff25\uff26\uff27\uff28\uff29\uff2a\uff2b\uff2c\uff2d\uff2e\uff2f\uff30\uff31\uff32\uff33\uff34\uff35\uff36\uff37\uff38\uff39\uff3a".split("");this.smallLatinFullWidth="\uff41\uff42\uff43\uff44\uff45\uff46\uff47\uff48\uff49\uff4a\uff4b\uff4c\uff4d\uff4e\uff4f\uff50\uff51\uff52\uff53\uff54\uff55\uff56\uff57\uff58\uff59\uff5a".split("");this.capitalLatinBold="\ud835\udc00 \ud835\udc01 \ud835\udc02 \ud835\udc03 \ud835\udc04 \ud835\udc05 \ud835\udc06 \ud835\udc07 \ud835\udc08 \ud835\udc09 \ud835\udc0a \ud835\udc0b \ud835\udc0c \ud835\udc0d \ud835\udc0e \ud835\udc0f \ud835\udc10 \ud835\udc11 \ud835\udc12 \ud835\udc13 \ud835\udc14 \ud835\udc15 \ud835\udc16 \ud835\udc17 \ud835\udc18 \ud835\udc19".split(" ");
+this.colons=[":","\uff1a","\ufe55"];this.invisibleComma_=sre.SemanticUtil.numberToUnicode(8291);this.commas=[",",this.invisibleComma_];this.ellipses="\u2026\u22ee\u22ef\u22f0\u22f1\ufe19".split("");this.fullStops=[".","\ufe52","\uff0e"];this.dashes="\u2012\u2013\u2014\u2015\u301c\ufe31\ufe32\ufe58".split("");this.primes="'\u2032\u2033\u2034\u2035\u2036\u2037\u2057".split("");this.degrees=["\u00b0"];this.openClosePairs={"(":")","[":"]","{":"}","\u2045":"\u2046","\u2329":"\u232a","\u2768":"\u2769",
+"\u276a":"\u276b","\u276c":"\u276d","\u276e":"\u276f","\u2770":"\u2771","\u2772":"\u2773","\u2774":"\u2775","\u27c5":"\u27c6","\u27e6":"\u27e7","\u27e8":"\u27e9","\u27ea":"\u27eb","\u27ec":"\u27ed","\u27ee":"\u27ef","\u2983":"\u2984","\u2985":"\u2986","\u2987":"\u2988","\u2989":"\u298a","\u298b":"\u298c","\u298d":"\u298e","\u298f":"\u2990","\u2991":"\u2992","\u2993":"\u2994","\u2995":"\u2996","\u2997":"\u2998","\u29d8":"\u29d9","\u29da":"\u29db","\u29fc":"\u29fd","\u2e22":"\u2e23","\u2e24":"\u2e25",
+"\u2e26":"\u2e27","\u2e28":"\u2e29","\u3008":"\u3009","\u300a":"\u300b","\u300c":"\u300d","\u300e":"\u300f","\u3010":"\u3011","\u3014":"\u3015","\u3016":"\u3017","\u3018":"\u3019","\u301a":"\u301b","\u301d":"\u301e","\ufd3e":"\ufd3f","\ufe17":"\ufe18","\ufe59":"\ufe5a","\ufe5b":"\ufe5c","\ufe5d":"\ufe5e","\uff08":"\uff09","\uff3b":"\uff3d","\uff5b":"\uff5d","\uff5f":"\uff60","\uff62":"\uff63","\u2308":"\u2309","\u230a":"\u230b","\u230c":"\u230d","\u230e":"\u230f","\u231c":"\u231d","\u231e":"\u231f",
+"\u239b":"\u239e","\u239c":"\u239f","\u239d":"\u23a0","\u23a1":"\u23a4","\u23a2":"\u23a5","\u23a3":"\u23a6","\u23a7":"\u23ab","\u23a8":"\u23ac","\u23a9":"\u23ad","\u23b0":"\u23b1","\u23b8":"\u23b9"};this.topBottomPairs={"\u23b4":"\u23b5","\u23dc":"\u23dd","\u23de":"\u23df","\u23e0":"\u23e1","\ufe35":"\ufe36","\ufe37":"\ufe38","\ufe39":"\ufe3a","\ufe3b":"\ufe3c","\ufe3d":"\ufe3e","\ufe3f":"\ufe40","\ufe41":"\ufe42","\ufe43":"\ufe44","\ufe47":"\ufe48"};this.leftFences=sre.SemanticUtil.objectsToKeys(this.openClosePairs);
+this.rightFences=sre.SemanticUtil.objectsToValues(this.openClosePairs);this.rightFences.push("\u301f");this.topFences=sre.SemanticUtil.objectsToKeys(this.topBottomPairs);this.bottomFences=sre.SemanticUtil.objectsToValues(this.topBottomPairs);this.neutralFences="|\u00a6\u2016\u2758\u2980\u2af4\uffe4\uff5c".split("");this.allFences=this.neutralFences.concat(this.leftFences,this.rightFences,this.topFences,this.bottomFences);this.capitalLatin="ABCDEFGHIJKLMNOPQRSTUVWXYZ".split("");this.smallLatin="abcdefghijklmnopqrstuvwxyz\u0131\u0237".split("");
+this.capitalLatinFullWidth="\uff21\uff22\uff23\uff24\uff25\uff26\uff27\uff28\uff29\uff2a\uff2b\uff2c\uff2d\uff2e\uff2f\uff30\uff31\uff32\uff33\uff34\uff35\uff36\uff37\uff38\uff39\uff3a".split("");this.smallLatinFullWidth="\uff41\uff42\uff43\uff44\uff45\uff46\uff47\uff48\uff49\uff4a\uff4b\uff4c\uff4d\uff4e\uff4f\uff50\uff51\uff52\uff53\uff54\uff55\uff56\uff57\uff58\uff59\uff5a".split("");this.capitalLatinBold="\ud835\udc00 \ud835\udc01 \ud835\udc02 \ud835\udc03 \ud835\udc04 \ud835\udc05 \ud835\udc06 \ud835\udc07 \ud835\udc08 \ud835\udc09 \ud835\udc0a \ud835\udc0b \ud835\udc0c \ud835\udc0d \ud835\udc0e \ud835\udc0f \ud835\udc10 \ud835\udc11 \ud835\udc12 \ud835\udc13 \ud835\udc14 \ud835\udc15 \ud835\udc16 \ud835\udc17 \ud835\udc18 \ud835\udc19".split(" ");
 this.smallLatinBold="\ud835\udc1a \ud835\udc1b \ud835\udc1c \ud835\udc1d \ud835\udc1e \ud835\udc1f \ud835\udc20 \ud835\udc21 \ud835\udc22 \ud835\udc23 \ud835\udc24 \ud835\udc25 \ud835\udc26 \ud835\udc27 \ud835\udc28 \ud835\udc29 \ud835\udc2a \ud835\udc2b \ud835\udc2c \ud835\udc2d \ud835\udc2e \ud835\udc2f \ud835\udc30 \ud835\udc31 \ud835\udc32 \ud835\udc33".split(" ");this.capitalLatinItalic="\ud835\udc34 \ud835\udc35 \ud835\udc36 \ud835\udc37 \ud835\udc38 \ud835\udc39 \ud835\udc3a \ud835\udc3b \ud835\udc3c \ud835\udc3d \ud835\udc3e \ud835\udc3f \ud835\udc40 \ud835\udc41 \ud835\udc42 \ud835\udc43 \ud835\udc44 \ud835\udc45 \ud835\udc46 \ud835\udc47 \ud835\udc48 \ud835\udc49 \ud835\udc4a \ud835\udc4b \ud835\udc4c \ud835\udc4d".split(" ");
-this.smallLatinItalic="\ud835\udc4e \ud835\udc4f \ud835\udc50 \ud835\udc51 \ud835\udc52 \ud835\udc53 \ud835\udc54 \u210e \ud835\udc56 \ud835\udc57 \ud835\udc58 \ud835\udc59 \ud835\udc5a \ud835\udc5b \ud835\udc5c \ud835\udc5d \ud835\udc5e \ud835\udc5f \ud835\udc60 \ud835\udc61 \ud835\udc62 \ud835\udc63 \ud835\udc64 \ud835\udc65 \ud835\udc66 \ud835\udc67 \ud835\udea4 \ud835\udea5".split(" ");this.capitalLatinScript="\ud835\udc9c \u212c \ud835\udc9e \ud835\udc9f \u2130 \u2131 \ud835\udca2 \u210b \u2110 \ud835\udca5 \ud835\udca6 \u2112 \u2133 \ud835\udca9 \ud835\udcaa \ud835\udcab \ud835\udcac \u211b \ud835\udcae \ud835\udcaf \ud835\udcb0 \ud835\udcb1 \ud835\udcb2 \ud835\udcb3 \ud835\udcb4 \ud835\udcb5 \u2118".split(" ");
+this.smallLatinItalic="\ud835\udc4e \ud835\udc4f \ud835\udc50 \ud835\udc51 \ud835\udc52 \ud835\udc53 \ud835\udc54 \u210e \ud835\udc56 \ud835\udc57 \ud835\udc58 \ud835\udc59 \ud835\udc5a \ud835\udc5b \ud835\udc5c \ud835\udc5d \ud835\udc5e \ud835\udc5f \ud835\udc60 \ud835\udc61 \ud835\udc62 \ud835\udc63 \ud835\udc64 \ud835\udc65 \ud835\udc66 \ud835\udc67 \ud835\udea4 \ud835\udea5".split(" ");this.capitalLatinBoldItalic="\ud835\udc68 \ud835\udc69 \ud835\udc6a \ud835\udc6b \ud835\udc6c \ud835\udc6d \ud835\udc6e \ud835\udc6f \ud835\udc70 \ud835\udc71 \ud835\udc72 \ud835\udc73 \ud835\udc74 \ud835\udc75 \ud835\udc76 \ud835\udc77 \ud835\udc78 \ud835\udc79 \ud835\udc7a \ud835\udc7b \ud835\udc7c \ud835\udc7d \ud835\udc7e \ud835\udc7f \ud835\udc80 \ud835\udc81".split(" ");
+this.smallLatinBoldItalic="\ud835\udc82 \ud835\udc83 \ud835\udc84 \ud835\udc85 \ud835\udc86 \ud835\udc87 \ud835\udc88 \ud835\udc89 \ud835\udc8a \ud835\udc8b \ud835\udc8c \ud835\udc8d \ud835\udc8e \ud835\udc8f \ud835\udc90 \ud835\udc91 \ud835\udc92 \ud835\udc93 \ud835\udc94 \ud835\udc95 \ud835\udc96 \ud835\udc97 \ud835\udc98 \ud835\udc99 \ud835\udc9a \ud835\udc9b".split(" ");this.capitalLatinScript="\ud835\udc9c \u212c \ud835\udc9e \ud835\udc9f \u2130 \u2131 \ud835\udca2 \u210b \u2110 \ud835\udca5 \ud835\udca6 \u2112 \u2133 \ud835\udca9 \ud835\udcaa \ud835\udcab \ud835\udcac \u211b \ud835\udcae \ud835\udcaf \ud835\udcb0 \ud835\udcb1 \ud835\udcb2 \ud835\udcb3 \ud835\udcb4 \ud835\udcb5 \u2118".split(" ");
 this.smallLatinScript="\ud835\udcb6 \ud835\udcb7 \ud835\udcb8 \ud835\udcb9 \u212f \ud835\udcbb \u210a \ud835\udcbd \ud835\udcbe \ud835\udcbf \ud835\udcc0 \ud835\udcc1 \ud835\udcc2 \ud835\udcc3 \u2134 \ud835\udcc5 \ud835\udcc6 \ud835\udcc7 \ud835\udcc8 \ud835\udcc9 \ud835\udcca \ud835\udccb \ud835\udccc \ud835\udccd \ud835\udcce \ud835\udccf \u2113".split(" ");this.capitalLatinBoldScript="\ud835\udcd0 \ud835\udcd1 \ud835\udcd2 \ud835\udcd3 \ud835\udcd4 \ud835\udcd5 \ud835\udcd6 \ud835\udcd7 \ud835\udcd8 \ud835\udcd9 \ud835\udcda \ud835\udcdb \ud835\udcdc \ud835\udcdd \ud835\udcde \ud835\udcdf \ud835\udce0 \ud835\udce1 \ud835\udce2 \ud835\udce3 \ud835\udce4 \ud835\udce5 \ud835\udce6 \ud835\udce7 \ud835\udce8 \ud835\udce9".split(" ");
 this.smallLatinBoldScript="\ud835\udcea \ud835\udceb \ud835\udcec \ud835\udced \ud835\udcee \ud835\udcef \ud835\udcf0 \ud835\udcf1 \ud835\udcf2 \ud835\udcf3 \ud835\udcf4 \ud835\udcf5 \ud835\udcf6 \ud835\udcf7 \ud835\udcf8 \ud835\udcf9 \ud835\udcfa \ud835\udcfb \ud835\udcfc \ud835\udcfd \ud835\udcfe \ud835\udcff \ud835\udd00 \ud835\udd01 \ud835\udd02 \ud835\udd03".split(" ");this.capitalLatinFraktur="\ud835\udd04 \ud835\udd05 \u212d \ud835\udd07 \ud835\udd08 \ud835\udd09 \ud835\udd0a \u210c \u2111 \ud835\udd0d \ud835\udd0e \ud835\udd0f \ud835\udd10 \ud835\udd11 \ud835\udd12 \ud835\udd13 \ud835\udd14 \u211c \ud835\udd16 \ud835\udd17 \ud835\udd18 \ud835\udd19 \ud835\udd1a \ud835\udd1b \ud835\udd1c \u2128".split(" ");
 this.smallLatinFraktur="\ud835\udd1e \ud835\udd1f \ud835\udd20 \ud835\udd21 \ud835\udd22 \ud835\udd23 \ud835\udd24 \ud835\udd25 \ud835\udd26 \ud835\udd27 \ud835\udd28 \ud835\udd29 \ud835\udd2a \ud835\udd2b \ud835\udd2c \ud835\udd2d \ud835\udd2e \ud835\udd2f \ud835\udd30 \ud835\udd31 \ud835\udd32 \ud835\udd33 \ud835\udd34 \ud835\udd35 \ud835\udd36 \ud835\udd37".split(" ");this.capitalLatinDoubleStruck="\ud835\udd38 \ud835\udd39 \u2102 \ud835\udd3b \ud835\udd3c \ud835\udd3d \ud835\udd3e \u210d \ud835\udd40 \ud835\udd41 \ud835\udd42 \ud835\udd43 \ud835\udd44 \u2115 \ud835\udd46 \u2119 \u211a \u211d \ud835\udd4a \ud835\udd4b \ud835\udd4c \ud835\udd4d \ud835\udd4e \ud835\udd4f \ud835\udd50 \u2124".split(" ");
@@ -150,17 +167,21 @@ this.smallLatinDoubleStruck="\ud835\udd52 \ud835\udd53 \ud835\udd54 \ud835\udd55
 this.smallLatinBoldFraktur="\ud835\udd86 \ud835\udd87 \ud835\udd88 \ud835\udd89 \ud835\udd8a \ud835\udd8b \ud835\udd8c \ud835\udd8d \ud835\udd8e \ud835\udd8f \ud835\udd90 \ud835\udd91 \ud835\udd92 \ud835\udd93 \ud835\udd94 \ud835\udd95 \ud835\udd96 \ud835\udd97 \ud835\udd98 \ud835\udd99 \ud835\udd9a \ud835\udd9b \ud835\udd9c \ud835\udd9d \ud835\udd9e \ud835\udd9f".split(" ");this.capitalLatinSansSerif="\ud835\udda0 \ud835\udda1 \ud835\udda2 \ud835\udda3 \ud835\udda4 \ud835\udda5 \ud835\udda6 \ud835\udda7 \ud835\udda8 \ud835\udda9 \ud835\uddaa \ud835\uddab \ud835\uddac \ud835\uddad \ud835\uddae \ud835\uddaf \ud835\uddb0 \ud835\uddb1 \ud835\uddb2 \ud835\uddb3 \ud835\uddb4 \ud835\uddb5 \ud835\uddb6 \ud835\uddb7 \ud835\uddb8 \ud835\uddb9".split(" ");
 this.smallLatinSansSerif="\ud835\uddba \ud835\uddbb \ud835\uddbc \ud835\uddbd \ud835\uddbe \ud835\uddbf \ud835\uddc0 \ud835\uddc1 \ud835\uddc2 \ud835\uddc3 \ud835\uddc4 \ud835\uddc5 \ud835\uddc6 \ud835\uddc7 \ud835\uddc8 \ud835\uddc9 \ud835\uddca \ud835\uddcb \ud835\uddcc \ud835\uddcd \ud835\uddce \ud835\uddcf \ud835\uddd0 \ud835\uddd1 \ud835\uddd2 \ud835\uddd3".split(" ");this.capitalLatinSansSerifBold="\ud835\uddd4 \ud835\uddd5 \ud835\uddd6 \ud835\uddd7 \ud835\uddd8 \ud835\uddd9 \ud835\uddda \ud835\udddb \ud835\udddc \ud835\udddd \ud835\uddde \ud835\udddf \ud835\udde0 \ud835\udde1 \ud835\udde2 \ud835\udde3 \ud835\udde4 \ud835\udde5 \ud835\udde6 \ud835\udde7 \ud835\udde8 \ud835\udde9 \ud835\uddea \ud835\uddeb \ud835\uddec \ud835\udded".split(" ");
 this.smallLatinSansSerifBold="\ud835\uddee \ud835\uddef \ud835\uddf0 \ud835\uddf1 \ud835\uddf2 \ud835\uddf3 \ud835\uddf4 \ud835\uddf5 \ud835\uddf6 \ud835\uddf7 \ud835\uddf8 \ud835\uddf9 \ud835\uddfa \ud835\uddfb \ud835\uddfc \ud835\uddfd \ud835\uddfe \ud835\uddff \ud835\ude00 \ud835\ude01 \ud835\ude02 \ud835\ude03 \ud835\ude04 \ud835\ude05 \ud835\ude06 \ud835\ude07".split(" ");this.capitalLatinSansSerifItalic="\ud835\ude08 \ud835\ude09 \ud835\ude0a \ud835\ude0b \ud835\ude0c \ud835\ude0d \ud835\ude0e \ud835\ude0f \ud835\ude10 \ud835\ude11 \ud835\ude12 \ud835\ude13 \ud835\ude14 \ud835\ude15 \ud835\ude16 \ud835\ude17 \ud835\ude18 \ud835\ude19 \ud835\ude1a \ud835\ude1b \ud835\ude1c \ud835\ude1d \ud835\ude1e \ud835\ude1f \ud835\ude20 \ud835\ude21".split(" ");
-this.smallLatinSansSerifItalic="\ud835\ude22 \ud835\ude23 \ud835\ude24 \ud835\ude25 \ud835\ude26 \ud835\ude27 \ud835\ude28 \ud835\ude29 \ud835\ude2a \ud835\ude2b \ud835\ude2c \ud835\ude2d \ud835\ude2e \ud835\ude2f \ud835\ude30 \ud835\ude31 \ud835\ude32 \ud835\ude33 \ud835\ude34 \ud835\ude35 \ud835\ude36 \ud835\ude37 \ud835\ude38 \ud835\ude39 \ud835\ude3a \ud835\ude3b".split(" ");this.capitalLatinMonospace="\ud835\ude70 \ud835\ude71 \ud835\ude72 \ud835\ude73 \ud835\ude74 \ud835\ude75 \ud835\ude76 \ud835\ude77 \ud835\ude78 \ud835\ude79 \ud835\ude7a \ud835\ude7b \ud835\ude7c \ud835\ude7d \ud835\ude7e \ud835\ude7f \ud835\ude80 \ud835\ude81 \ud835\ude82 \ud835\ude83 \ud835\ude84 \ud835\ude85 \ud835\ude86 \ud835\ude87 \ud835\ude88 \ud835\ude89".split(" ");
+this.smallLatinSansSerifItalic="\ud835\ude22 \ud835\ude23 \ud835\ude24 \ud835\ude25 \ud835\ude26 \ud835\ude27 \ud835\ude28 \ud835\ude29 \ud835\ude2a \ud835\ude2b \ud835\ude2c \ud835\ude2d \ud835\ude2e \ud835\ude2f \ud835\ude30 \ud835\ude31 \ud835\ude32 \ud835\ude33 \ud835\ude34 \ud835\ude35 \ud835\ude36 \ud835\ude37 \ud835\ude38 \ud835\ude39 \ud835\ude3a \ud835\ude3b".split(" ");this.capitalLatinSansSerifBoldItalic="\ud835\ude3c \ud835\ude3d \ud835\ude3e \ud835\ude3f \ud835\ude40 \ud835\ude41 \ud835\ude42 \ud835\ude43 \ud835\ude44 \ud835\ude45 \ud835\ude46 \ud835\ude47 \ud835\ude48 \ud835\ude49 \ud835\ude4a \ud835\ude4b \ud835\ude4c \ud835\ude4d \ud835\ude4e \ud835\ude4f \ud835\ude50 \ud835\ude51 \ud835\ude52 \ud835\ude53 \ud835\ude54 \ud835\ude55".split(" ");
+this.smallLatinSansSerifBoldItalic="\ud835\ude56 \ud835\ude57 \ud835\ude58 \ud835\ude59 \ud835\ude5a \ud835\ude5b \ud835\ude5c \ud835\ude5d \ud835\ude5e \ud835\ude5f \ud835\ude60 \ud835\ude61 \ud835\ude62 \ud835\ude63 \ud835\ude64 \ud835\ude65 \ud835\ude66 \ud835\ude67 \ud835\ude68 \ud835\ude69 \ud835\ude6a \ud835\ude6b \ud835\ude6c \ud835\ude6d \ud835\ude6e \ud835\ude6f".split(" ");this.capitalLatinMonospace="\ud835\ude70 \ud835\ude71 \ud835\ude72 \ud835\ude73 \ud835\ude74 \ud835\ude75 \ud835\ude76 \ud835\ude77 \ud835\ude78 \ud835\ude79 \ud835\ude7a \ud835\ude7b \ud835\ude7c \ud835\ude7d \ud835\ude7e \ud835\ude7f \ud835\ude80 \ud835\ude81 \ud835\ude82 \ud835\ude83 \ud835\ude84 \ud835\ude85 \ud835\ude86 \ud835\ude87 \ud835\ude88 \ud835\ude89".split(" ");
 this.smallLatinMonospace="\ud835\ude8a \ud835\ude8b \ud835\ude8c \ud835\ude8d \ud835\ude8e \ud835\ude8f \ud835\ude90 \ud835\ude91 \ud835\ude92 \ud835\ude93 \ud835\ude94 \ud835\ude95 \ud835\ude96 \ud835\ude97 \ud835\ude98 \ud835\ude99 \ud835\ude9a \ud835\ude9b \ud835\ude9c \ud835\ude9d \ud835\ude9e \ud835\ude9f \ud835\udea0 \ud835\udea1 \ud835\udea2 \ud835\udea3".split(" ");this.latinDoubleStruckItalic=["\u2145","\u2146","\u2147","\u2148","\u2149"];this.capitalGreek="\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9".split("");
 this.smallGreek="\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9".split("");this.capitalGreekBold="\ud835\udea8 \ud835\udea9 \ud835\udeaa \ud835\udeab \ud835\udeac \ud835\udead \ud835\udeae \ud835\udeaf \ud835\udeb0 \ud835\udeb1 \ud835\udeb2 \ud835\udeb3 \ud835\udeb4 \ud835\udeb5 \ud835\udeb6 \ud835\udeb7 \ud835\udeb8 \ud835\udeba \ud835\udebb \ud835\udebc \ud835\udebd \ud835\udebe \ud835\udebf \ud835\udec0".split(" ");
 this.smallGreekBold="\ud835\udec2 \ud835\udec3 \ud835\udec4 \ud835\udec5 \ud835\udec6 \ud835\udec7 \ud835\udec8 \ud835\udec9 \ud835\udeca \ud835\udecb \ud835\udecc \ud835\udecd \ud835\udece \ud835\udecf \ud835\uded0 \ud835\uded1 \ud835\uded2 \ud835\uded3 \ud835\uded4 \ud835\uded5 \ud835\uded6 \ud835\uded7 \ud835\uded8 \ud835\uded9 \ud835\udeda".split(" ");this.capitalGreekItalic="\ud835\udee2 \ud835\udee3 \ud835\udee4 \ud835\udee5 \ud835\udee6 \ud835\udee7 \ud835\udee8 \ud835\udee9 \ud835\udeea \ud835\udeeb \ud835\udeec \ud835\udeed \ud835\udeee \ud835\udeef \ud835\udef0 \ud835\udef1 \ud835\udef2 \ud835\udef4 \ud835\udef5 \ud835\udef6 \ud835\udef7 \ud835\udef8 \ud835\udef9 \ud835\udefa".split(" ");
-this.smallGreekItalic="\ud835\udefc \ud835\udefd \ud835\udefe \ud835\udeff \ud835\udf00 \ud835\udf01 \ud835\udf02 \ud835\udf03 \ud835\udf04 \ud835\udf05 \ud835\udf06 \ud835\udf07 \ud835\udf08 \ud835\udf09 \ud835\udf0a \ud835\udf0b \ud835\udf0c \ud835\udf0d \ud835\udf0e \ud835\udf0f \ud835\udf10 \ud835\udf11 \ud835\udf12 \ud835\udf13 \ud835\udf14".split(" ");this.capitalGreekSansSerifBold="\ud835\udf56 \ud835\udf57 \ud835\udf58 \ud835\udf59 \ud835\udf5a \ud835\udf5b \ud835\udf5c \ud835\udf5d \ud835\udf5e \ud835\udf5f \ud835\udf60 \ud835\udf61 \ud835\udf62 \ud835\udf63 \ud835\udf64 \ud835\udf65 \ud835\udf66 \ud835\udf68 \ud835\udf69 \ud835\udf6a \ud835\udf6b \ud835\udf6c \ud835\udf6d \ud835\udf6e".split(" ");
-this.smallGreekSansSerifBold="\ud835\udf70 \ud835\udf71 \ud835\udf72 \ud835\udf73 \ud835\udf74 \ud835\udf75 \ud835\udf76 \ud835\udf77 \ud835\udf78 \ud835\udf79 \ud835\udf7a \ud835\udf7b \ud835\udf7c \ud835\udf7d \ud835\udf7e \ud835\udf7f \ud835\udf80 \ud835\udf81 \ud835\udf82 \ud835\udf83 \ud835\udf84 \ud835\udf85 \ud835\udf86 \ud835\udf87 \ud835\udf88".split(" ");this.greekDoubleStruck=["\u213c","\u213d","\u213e","\u213f"];this.greekSpecial="\u03d0\u03d1\u03d5\u03d6\u03d7\u03f0\u03f1\u03f5\u03f6\u03f4".split("");
+this.smallGreekItalic="\ud835\udefc \ud835\udefd \ud835\udefe \ud835\udeff \ud835\udf00 \ud835\udf01 \ud835\udf02 \ud835\udf03 \ud835\udf04 \ud835\udf05 \ud835\udf06 \ud835\udf07 \ud835\udf08 \ud835\udf09 \ud835\udf0a \ud835\udf0b \ud835\udf0c \ud835\udf0d \ud835\udf0e \ud835\udf0f \ud835\udf10 \ud835\udf11 \ud835\udf12 \ud835\udf13 \ud835\udf14".split(" ");this.capitalGreekBoldItalic="\ud835\udf1c \ud835\udf1d \ud835\udf1e \ud835\udf1f \ud835\udf20 \ud835\udf21 \ud835\udf22 \ud835\udf23 \ud835\udf24 \ud835\udf25 \ud835\udf26 \ud835\udf27 \ud835\udf28 \ud835\udf29 \ud835\udf2a \ud835\udf2b \ud835\udf2c \ud835\udf2e \ud835\udf2f \ud835\udf30 \ud835\udf31 \ud835\udf32 \ud835\udf33 \ud835\udf34".split(" ");
+this.smallGreekBoldItalic="\ud835\udf36 \ud835\udf37 \ud835\udf38 \ud835\udf39 \ud835\udf3a \ud835\udf3b \ud835\udf3c \ud835\udf3d \ud835\udf3e \ud835\udf3f \ud835\udf40 \ud835\udf41 \ud835\udf42 \ud835\udf43 \ud835\udf44 \ud835\udf45 \ud835\udf46 \ud835\udf47 \ud835\udf48 \ud835\udf49 \ud835\udf4a \ud835\udf4b \ud835\udf4c \ud835\udf4d \ud835\udf4e".split(" ");this.capitalGreekSansSerifBold="\ud835\udf56 \ud835\udf57 \ud835\udf58 \ud835\udf59 \ud835\udf5a \ud835\udf5b \ud835\udf5c \ud835\udf5d \ud835\udf5e \ud835\udf5f \ud835\udf60 \ud835\udf61 \ud835\udf62 \ud835\udf63 \ud835\udf64 \ud835\udf65 \ud835\udf66 \ud835\udf68 \ud835\udf69 \ud835\udf6a \ud835\udf6b \ud835\udf6c \ud835\udf6d \ud835\udf6e".split(" ");
+this.smallGreekSansSerifBold="\ud835\udf70 \ud835\udf71 \ud835\udf72 \ud835\udf73 \ud835\udf74 \ud835\udf75 \ud835\udf76 \ud835\udf77 \ud835\udf78 \ud835\udf79 \ud835\udf7a \ud835\udf7b \ud835\udf7c \ud835\udf7d \ud835\udf7e \ud835\udf7f \ud835\udf80 \ud835\udf81 \ud835\udf82 \ud835\udf83 \ud835\udf84 \ud835\udf85 \ud835\udf86 \ud835\udf87 \ud835\udf88".split(" ");this.capitalGreekSansSerifBoldItalic="\ud835\udf90 \ud835\udf91 \ud835\udf92 \ud835\udf93 \ud835\udf94 \ud835\udf95 \ud835\udf96 \ud835\udf97 \ud835\udf98 \ud835\udf99 \ud835\udf9a \ud835\udf9b \ud835\udf9c \ud835\udf9d \ud835\udf9e \ud835\udf9f \ud835\udfa0 \ud835\udfa2 \ud835\udfa3 \ud835\udfa4 \ud835\udfa5 \ud835\udfa6 \ud835\udfa7 \ud835\udfa8".split(" ");
+this.smallGreekSansSerifBoldItalic="\ud835\udfaa \ud835\udfab \ud835\udfac \ud835\udfad \ud835\udfae \ud835\udfaf \ud835\udfb0 \ud835\udfb1 \ud835\udfb2 \ud835\udfb3 \ud835\udfb4 \ud835\udfb5 \ud835\udfb6 \ud835\udfb7 \ud835\udfb8 \ud835\udfb9 \ud835\udfba \ud835\udfbb \ud835\udfbc \ud835\udfbd \ud835\udfbe \ud835\udfbf \ud835\udfc0 \ud835\udfc1 \ud835\udfc2".split(" ");this.greekDoubleStruck=["\u213c","\u213d","\u213e","\u213f"];this.greekSpecial="\u03d0\u03d1\u03d5\u03d6\u03d7\u03f0\u03f1\u03f5\u03f6\u03f4".split("");
 this.greekSpecialBold="\ud835\udedc \ud835\udedd \ud835\udede \ud835\udedf \ud835\udee0 \ud835\udee1".split(" ");this.greekSpecialItalic="\ud835\udf16 \ud835\udf17 \ud835\udf18 \ud835\udf19 \ud835\udf1a \ud835\udf1b".split(" ");this.greekSpecialSansSerifBold="\ud835\udf8a \ud835\udf8b \ud835\udf8c \ud835\udf8d \ud835\udf8e \ud835\udf8f".split(" ");this.hebrewLetters=["\u2135","\u2136","\u2137","\u2138"];this.allLetters=this.capitalLatin.concat(this.smallLatin,this.capitalLatinFullWidth,this.smallLatinFullWidth,
-this.capitalLatinBold,this.smallLatinBold,this.capitalLatinItalic,this.smallLatinItalic,this.capitalLatinScript,this.smallLatinScript,this.capitalLatinBoldScript,this.smallLatinBoldScript,this.capitalLatinFraktur,this.smallLatinFraktur,this.capitalLatinDoubleStruck,this.smallLatinDoubleStruck,this.capitalLatinBoldFraktur,this.smallLatinBoldFraktur,this.capitalLatinSansSerif,this.smallLatinSansSerif,this.capitalLatinSansSerifBold,this.smallLatinSansSerifBold,this.capitalLatinSansSerifItalic,this.smallLatinSansSerifItalic,
-this.capitalLatinMonospace,this.smallLatinMonospace,this.latinDoubleStruckItalic,this.capitalGreek,this.smallGreek,this.capitalGreekBold,this.smallGreekBold,this.capitalGreekItalic,this.smallGreekItalic,this.capitalGreekSansSerifBold,this.smallGreekSansSerifBold,this.greekDoubleStruck,this.greekSpecial,this.greekSpecialBold,this.greekSpecialItalic,this.greekSpecialSansSerifBold,this.hebrewLetters);this.additions="+\u00b1\u2213\u2214\u2227\u2228\u2229\u222a\u228c\u2293\u2294\u229d\u229e\u22a4\u22a5\u22ba\u22bb\u22bc\u22c4\u22ce\u22cf\u22d2\u22d3\u25b3\u25b7\u25bd\u25c1\u2a5e\u2295".split("");
-this.invisiblePlus_=sre.SemanticUtil.numberToUnicode(8292);this.additions.push(this.invisiblePlus_);this.multiplications="\u2020\u2021\u2210\u2217\u2218\u2219\u2240\u229a\u229b\u22a0\u22a1\u22c5\u22c6\u22c7\u22c9\u22ca\u22cb\u22cc\u25cb\u00b7*".split("");this.invisibleTimes_=sre.SemanticUtil.numberToUnicode(8290);this.multiplications.push(this.invisibleTimes_);this.subtractions="-\u2052\u207b\u208b\u2212\u2216\u2238\u2242\u2296\u229f\u2796\u2a29\u2a2a\u2a2b\u2a2c\u2a3a\u2a41\u2a6c\ufe63\uff0d\u2010\u2011".split("");
-this.divisions="/\u00f7\u2044\u2215\u2298\u27cc\u29bc\u2a38".split("");this.functionApplication_=sre.SemanticUtil.numberToUnicode(8289);this.equalities="=~\u207c\u208c\u223c\u223d\u2243\u2245\u2248\u224a\u224b\u224c\u224d\u224e\u2251\u2252\u2253\u2254\u2255\u2256\u2257\u2258\u2259\u225a\u225b\u225c\u225d\u225e\u225f\u2261\u2263\u29e4\u2a66\u2a6e\u2a6f\u2a70\u2a71\u2a72\u2a73\u2a74\u2a75\u2a76\u2a77\u2a78\u22d5\u2a6d\u2a6a\u2a6b\u2a6c\ufe66\uff1d".split("");this.inequalities="<>\u2241\u2242\u2244\u2246\u2247\u2249\u224f\u2250\u2260\u2262\u2264\u2265\u2266\u2267\u2268\u2269\u226a\u226b\u226c\u226d\u226e\u226f\u2270\u2271\u2272\u2273\u2274\u2275\u2276\u2277\u2278\u2279\u227a\u227b\u227c\u227d\u227e\u227f\u2280\u2281\u22d6\u22d7\u22d8\u22d9\u22da\u22db\u22dc\u22dd\u22de\u22df\u22e0\u22e1\u22e2\u22e3\u22e4\u22e5\u22e6\u22e7\u22e8\u22e9\u2a79\u2a7a\u2a7b\u2a7c\u2a7d\u2a7e\u2a7f\u2a80\u2a81\u2a82\u2a83\u2a84\u2a85\u2a86\u2a87\u2a88\u2a89\u2a8a\u2a8b\u2a8c\u2a8d\u2a8e\u2a8f\u2a90\u2a91\u2a92\u2a93\u2a94\u2a95\u2a96\u2a97\u2a98\u2a99\u2a9a\u2a9b\u2a9c\u2a9d\u2a9e\u2a9f\u2aa0\u2aa1\u2aa2\u2aa3\u2aa4\u2aa5\u2aa6\u2aa7\u2aa8\u2aa9\u2aaa\u2aab\u2aac\u2aad\u2aae\u2aaf\u2ab0\u2ab1\u2ab2\u2ab3\u2ab4\u2ab5\u2ab6\u2ab7\u2ab8\u2ab9\u2aba\u2abb\u2abc\u2af7\u2af8\u2af9\u2afa\u29c0\u29c1\ufe64\ufe65\uff1c\uff1e".split("");
+this.capitalLatinBold,this.smallLatinBold,this.capitalLatinItalic,this.capitalLatinBoldItalic,this.smallLatinBoldItalic,this.smallLatinItalic,this.capitalLatinScript,this.smallLatinScript,this.capitalLatinBoldScript,this.smallLatinBoldScript,this.capitalLatinFraktur,this.smallLatinFraktur,this.capitalLatinDoubleStruck,this.smallLatinDoubleStruck,this.capitalLatinBoldFraktur,this.smallLatinBoldFraktur,this.capitalLatinSansSerif,this.smallLatinSansSerif,this.capitalLatinSansSerifBold,this.smallLatinSansSerifBold,
+this.capitalLatinSansSerifItalic,this.smallLatinSansSerifItalic,this.capitalLatinSansSerifBoldItalic,this.smallLatinSansSerifBoldItalic,this.capitalLatinMonospace,this.smallLatinMonospace,this.latinDoubleStruckItalic,this.capitalGreek,this.smallGreek,this.capitalGreekBold,this.smallGreekBold,this.capitalGreekItalic,this.smallGreekItalic,this.capitalGreekBoldItalic,this.smallGreekBoldItalic,this.capitalGreekSansSerifBold,this.smallGreekSansSerifBold,this.greekDoubleStruck,this.greekSpecial,this.capitalGreekSansSerifBoldItalic,
+this.smallGreekSansSerifBoldItalic,this.greekSpecialBold,this.greekSpecialItalic,this.greekSpecialSansSerifBold,this.hebrewLetters);this.additions="+\u00b1\u2213\u2214\u2227\u2228\u2229\u222a\u228c\u2293\u2294\u229d\u229e\u22a4\u22a5\u22ba\u22bb\u22bc\u22c4\u22ce\u22cf\u22d2\u22d3\u25b3\u25b7\u25bd\u25c1\u2a5e\u2295".split("");this.invisiblePlus_=sre.SemanticUtil.numberToUnicode(8292);this.additions.push(this.invisiblePlus_);this.multiplications="\u2020\u2021\u2210\u2217\u2218\u2219\u2240\u229a\u229b\u22a0\u22a1\u22c5\u22c6\u22c7\u22c9\u22ca\u22cb\u22cc\u25cb\u00b7*".split("");
+this.invisibleTimes_=sre.SemanticUtil.numberToUnicode(8290);this.multiplications.push(this.invisibleTimes_);this.subtractions="-\u2052\u207b\u208b\u2212\u2216\u2238\u2242\u2296\u229f\u2796\u2a29\u2a2a\u2a2b\u2a2c\u2a3a\u2a41\u2a6c\ufe63\uff0d\u2010\u2011".split("");this.divisions="/\u00f7\u2044\u2215\u2298\u27cc\u29bc\u2a38".split("");this.functionApplication_=sre.SemanticUtil.numberToUnicode(8289);this.equalities="=~\u207c\u208c\u223c\u223d\u2243\u2245\u2248\u224a\u224b\u224c\u224d\u224e\u2251\u2252\u2253\u2254\u2255\u2256\u2257\u2258\u2259\u225a\u225b\u225c\u225d\u225e\u225f\u2261\u2263\u29e4\u2a66\u2a6e\u2a6f\u2a70\u2a71\u2a72\u2a73\u2a74\u2a75\u2a76\u2a77\u2a78\u22d5\u2a6d\u2a6a\u2a6b\u2a6c\ufe66\uff1d".split("");
+this.inequalities="<>\u2241\u2242\u2244\u2246\u2247\u2249\u224f\u2250\u2260\u2262\u2264\u2265\u2266\u2267\u2268\u2269\u226a\u226b\u226c\u226d\u226e\u226f\u2270\u2271\u2272\u2273\u2274\u2275\u2276\u2277\u2278\u2279\u227a\u227b\u227c\u227d\u227e\u227f\u2280\u2281\u22d6\u22d7\u22d8\u22d9\u22da\u22db\u22dc\u22dd\u22de\u22df\u22e0\u22e1\u22e2\u22e3\u22e4\u22e5\u22e6\u22e7\u22e8\u22e9\u2a79\u2a7a\u2a7b\u2a7c\u2a7d\u2a7e\u2a7f\u2a80\u2a81\u2a82\u2a83\u2a84\u2a85\u2a86\u2a87\u2a88\u2a89\u2a8a\u2a8b\u2a8c\u2a8d\u2a8e\u2a8f\u2a90\u2a91\u2a92\u2a93\u2a94\u2a95\u2a96\u2a97\u2a98\u2a99\u2a9a\u2a9b\u2a9c\u2a9d\u2a9e\u2a9f\u2aa0\u2aa1\u2aa2\u2aa3\u2aa4\u2aa5\u2aa6\u2aa7\u2aa8\u2aa9\u2aaa\u2aab\u2aac\u2aad\u2aae\u2aaf\u2ab0\u2ab1\u2ab2\u2ab3\u2ab4\u2ab5\u2ab6\u2ab7\u2ab8\u2ab9\u2aba\u2abb\u2abc\u2af7\u2af8\u2af9\u2afa\u29c0\u29c1\ufe64\ufe65\uff1c\uff1e".split("");
 this.relations=[];this.arrows="\u2190\u2191\u2192\u2193\u2194\u2195\u2196\u2197\u2198\u2199\u219a\u219b\u219c\u219d\u219e\u219f\u21a0\u21a1\u21a2\u21a3\u21a4\u21a5\u21a6\u21a7\u21a8\u21a9\u21aa\u21ab\u21ac\u21ad\u21ae\u21af\u21b0\u21b1\u21b2\u21b3\u21b4\u21b5\u21b6\u21b7\u21b8\u21b9\u21ba\u21bb\u21c4\u21c5\u21c6\u21c7\u21c8\u21c9\u21ca\u21cd\u21ce\u21cf\u21d0\u21d1\u21d2\u21d3\u21d4\u21d5\u21d6\u21d7\u21d8\u21d9\u21da\u21db\u21dc\u21dd\u21de\u21df\u21e0\u21e1\u21e2\u21e3\u21e4\u21e5\u21e6\u21e7\u21e8\u21e9\u21ea\u21eb\u21ec\u21ed\u21ee\u21ef\u21f0\u21f1\u21f2\u21f3\u21f4\u21f5\u21f6\u21f7\u21f8\u21f9\u21fa\u21fb\u21fc\u21fd\u21fe\u21ff\u2301\u2303\u2304\u2324\u238b\u2794\u2798\u2799\u279a\u279b\u279c\u279d\u279e\u279f\u27a0\u27a1\u27a2\u27a3\u27a4\u27a5\u27a6\u27a7\u27a8\u27a9\u27aa\u27ab\u27ac\u27ad\u27ae\u27af\u27b1\u27b2\u27b3\u27b4\u27b5\u27b6\u27b7\u27b8\u27b9\u27ba\u27bb\u27bc\u27bd\u27be\u27f0\u27f1\u27f2\u27f3\u27f4\u27f5\u27f6\u27f7\u27f8\u27f9\u27fa\u27fb\u27fc\u27fd\u27fe\u27ff\u2900\u2901\u2902\u2903\u2904\u2905\u2906\u2907\u2908\u2909\u290a\u290b\u290c\u290d\u290e\u290f\u2910\u2911\u2912\u2913\u2914\u2915\u2916\u2917\u2918\u2919\u291a\u291b\u291c\u291d\u291e\u291f\u2920\u2921\u2922\u2923\u2924\u2925\u2926\u2927\u2928\u2929\u292a\u292d\u292e\u292f\u2930\u2931\u2932\u2933\u2934\u2935\u2936\u2937\u2938\u2939\u293a\u293b\u293c\u293d\u293e\u293f\u2940\u2941\u2942\u2943\u2944\u2945\u2946\u2947\u2948\u2949\u2970\u2971\u2972\u2973\u2974\u2975\u2976\u2977\u2978\u2979\u297a\u297b\u29b3\u29b4\u29bd\u29ea\u29ec\u29ed\u2a17\u2b00\u2b01\u2b02\u2b03\u2b04\u2b05\u2b06\u2b07\u2b08\u2b09\u2b0a\u2b0b\u2b0c\u2b0d\u2b0e\u2b0f\u2b10\u2b11\u2b30\u2b31\u2b32\u2b33\u2b34\u2b35\u2b36\u2b37\u2b38\u2b39\u2b3a\u2b3b\u2b3c\u2b3d\u2b3e\u2b3f\u2b40\u2b41\u2b42\u2b43\u2b44\u2b45\u2b46\u2b47\u2b48\u2b49\u2b4a\u2b4b\u2b4c\uffe9\uffea\uffeb\uffec\u21bc\u21bd\u21be\u21bf\u21c0\u21c1\u21c2\u21c3\u21cb\u21cc\u294a\u294b\u294c\u294d\u294e\u294f\u2950\u2951\u2952\u2953\u2954\u2955\u2956\u2957\u2958\u2959\u295a\u295b\u295c\u295d\u295e\u295f\u2960\u2961\u2962\u2963\u2964\u2965\u2966\u2967\u2968\u2969\u296a\u296b\u296c\u296d\u296e\u296f\u297c\u297d\u297e\u297f".split("");
 this.sumOps="\u2140\u220f\u2210\u2211\u22c0\u22c1\u22c2\u22c3\u2a00\u2a01\u2a02\u2a03\u2a04\u2a05\u2a06\u2a07\u2a08\u2a09\u2a0a\u2a0b\u2afc\u2aff".split("");this.intOps="\u222b\u222c\u222d\u222e\u222f\u2230\u2231\u2232\u2233\u2a0c\u2a0d\u2a0e\u2a0f\u2a10\u2a11\u2a12\u2a13\u2a14\u2a15\u2a16\u2a17\u2a18\u2a19\u2a1a\u2a1b\u2a1c".split("");this.prefixOps="\u2200\u2203\u2206\u2207\u2202\u2201\u2204".split("");this.prefixOpsBold=["\ud835\udec1","\ud835\udedb","\ud835\udfca","\ud835\udfcb"];this.prefixOpsItalic=
 ["\ud835\udefb","\ud835\udf15"];this.prefixOpsSansSerifBold=["\ud835\udf6f","\ud835\udf89"];this.operatorBits="\u2320\u2321\u23b6\u23aa\u23ae\u23af\u23b2\u23b3\u23b7".split("");this.digitsNormal="0123456789".split("");this.digitsFullWidth="\uff10\uff11\uff12\uff13\uff14\uff15\uff16\uff17\uff18\uff19".split("");this.digitsBold="\ud835\udfce \ud835\udfcf \ud835\udfd0 \ud835\udfd1 \ud835\udfd2 \ud835\udfd3 \ud835\udfd4 \ud835\udfd5 \ud835\udfd6 \ud835\udfd7".split(" ");this.digitsDoubleStruck="\ud835\udfd8 \ud835\udfd9 \ud835\udfda \ud835\udfdb \ud835\udfdc \ud835\udfdd \ud835\udfde \ud835\udfdf \ud835\udfe0 \ud835\udfe1".split(" ");
@@ -169,114 +190,144 @@ this.digitsSansSerif="\ud835\udfe2 \ud835\udfe3 \ud835\udfe4 \ud835\udfe5 \ud835
 this.fencedNumbers="\u2474\u2475\u2476\u2477\u2478\u2479\u247a\u247b\u247c\u247d\u247e\u247f\u2480\u2481\u2482\u2483\u2484\u2485\u2486\u2487".split("");this.punctuatedNumbers="\u2488 \u2489 \u248a \u248b \u248c \u248d \u248e \u248f \u2490 \u2491 \u2492 \u2493 \u2494 \u2495 \u2496 \u2497 \u2498 \u2499 \u249a \u249b \ud83c\udd00 \ud83c\udd01 \ud83c\udd02 \ud83c\udd03 \ud83c\udd04 \ud83c\udd05 \ud83c\udd06 \ud83c\udd07 \ud83c\udd08 \ud83c\udd09 \ud83c\udd0a".split(" ");this.digits=this.digitsNormal.concat(this.digitsFullWidth,
 this.digitsBold,this.digitsDoubleStruck,this.digitsSansSerif,this.digitsSansSerifBold,this.digitsMonospace);this.numbers=this.fractions.concat(this.digitsSuperscript,this.digitsSubscript,this.enclosedNumbers,this.fencedNumbers,this.punctuatedNumbers);this.allNumbers=this.digits.concat(this.numbers);this.trigonometricFunctions="cos cot csc sec sin tan arccos arccot arccsc arcsec arcsin arctan".split(" ");this.hyperbolicFunctions="cosh coth csch sech sinh tanh arcosh arcoth arcsch arsech arsinh artanh arccosh arccoth arccsch arcsech arcsinh arctanh".split(" ");
 this.algebraicFunctions="deg det dim hom ker Tr tr".split(" ");this.elementaryFunctions="log ln lg exp expt gcd gcd arg im re Pr".split(" ");this.prefixFunctions=this.trigonometricFunctions.concat(this.hyperbolicFunctions,this.algebraicFunctions,this.elementaryFunctions);this.limitFunctions="inf lim liminf limsup max min sup injlim projlim".split(" ");this.infixFunctions=["mod","rem"];this.symbolSetToSemantic_=[{set:this.generalPunctuations,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.UNKNOWN},
-{set:this.commas,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.COMMA},{set:this.ellipses,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.ELLIPSIS},{set:this.fullStops,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.FULLSTOP},{set:this.dashes,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.DASH},{set:this.primes,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.PRIME},{set:this.leftFences,type:sre.SemanticAttr.Type.FENCE,
-role:sre.SemanticAttr.Role.OPEN},{set:this.rightFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.CLOSE},{set:this.topFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.TOP},{set:this.bottomFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.BOTTOM},{set:this.neutralFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.NEUTRAL},{set:this.smallLatin,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},
-{set:this.capitalLatin,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallLatinFullWidth,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalLatinFullWidth,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallLatinBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,
-font:sre.SemanticAttr.Font.BOLD},{set:this.capitalLatinBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.smallLatinItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.capitalLatinItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.smallLatinScript,type:sre.SemanticAttr.Type.IDENTIFIER,
+{set:this.colons,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.COLON},{set:this.commas,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.COMMA},{set:this.ellipses,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.ELLIPSIS},{set:this.fullStops,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.FULLSTOP},{set:this.dashes,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.DASH},{set:this.primes,type:sre.SemanticAttr.Type.PUNCTUATION,
+role:sre.SemanticAttr.Role.PRIME},{set:this.degrees,type:sre.SemanticAttr.Type.PUNCTUATION,role:sre.SemanticAttr.Role.DEGREE},{set:this.leftFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.OPEN},{set:this.rightFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.CLOSE},{set:this.topFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.TOP},{set:this.bottomFences,type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.BOTTOM},{set:this.neutralFences,
+type:sre.SemanticAttr.Type.FENCE,role:sre.SemanticAttr.Role.NEUTRAL},{set:this.smallLatin,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalLatin,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallLatinFullWidth,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalLatinFullWidth,
+type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallLatinBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.capitalLatinBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.smallLatinItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.ITALIC},
+{set:this.capitalLatinItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.smallLatinBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDITALIC},{set:this.capitalLatinBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDITALIC},{set:this.smallLatinScript,type:sre.SemanticAttr.Type.IDENTIFIER,
 role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SCRIPT},{set:this.capitalLatinScript,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SCRIPT},{set:this.smallLatinBoldScript,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDSCRIPT},{set:this.capitalLatinBoldScript,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDSCRIPT},
 {set:this.smallLatinFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.FRAKTUR},{set:this.capitalLatinFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.FRAKTUR},{set:this.smallLatinDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.capitalLatinDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,
 role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.smallLatinBoldFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDFRAKTUR},{set:this.capitalLatinBoldFraktur,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.BOLDFRAKTUR},{set:this.smallLatinSansSerif,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIF},
 {set:this.capitalLatinSansSerif,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIF},{set:this.smallLatinSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.capitalLatinSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.smallLatinSansSerifItalic,type:sre.SemanticAttr.Type.IDENTIFIER,
-role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFITALIC},{set:this.capitalLatinSansSerifItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFITALIC},{set:this.smallLatinMonospace,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.capitalLatinMonospace,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.MONOSPACE},
-{set:this.latinDoubleStruckItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCKITALIC},{set:this.smallGreek,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalGreek,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallGreekBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,
-font:sre.SemanticAttr.Font.BOLD},{set:this.capitalGreekBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.smallGreekItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.capitalGreekItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.smallGreekSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,
-role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.capitalGreekSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.greekDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.greekSpecial,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},
-{set:this.greekSpecialBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.greekSpecialItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.greekSpecialSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.hebrewLetters,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.OTHERLETTER,
-font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsNormal,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsFullWidth,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsBold,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.BOLD},{set:this.digitsDoubleStruck,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,
-font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.digitsSansSerif,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.SANSSERIF},{set:this.digitsSansSerifBold,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.digitsMonospace,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.numbers,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.FLOAT},
-{set:this.additions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.ADDITION},{set:this.multiplications,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.MULTIPLICATION},{set:this.subtractions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.SUBTRACTION},{set:this.divisions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.DIVISION},{set:this.prefixOps,type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC},{set:this.prefixOpsBold,
-type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC,font:sre.SemanticAttr.Font.BOLD},{set:this.prefixOpsItalic,type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC,font:sre.SemanticAttr.Font.ITALIC},{set:this.prefixOpsSansSerifBold,type:sre.SemanticAttr.Type.PREFIXOP,role:sre.SemanticAttr.Role.PREFIXFUNC,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.equalities,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.EQUALITY},{set:this.inequalities,
-type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.INEQUALITY},{set:this.relations,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.UNKNOWN},{set:this.arrows,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.ARROW},{set:this.sumOps,type:sre.SemanticAttr.Type.LARGEOP,role:sre.SemanticAttr.Role.SUM},{set:this.intOps,type:sre.SemanticAttr.Type.LARGEOP,role:sre.SemanticAttr.Role.INTEGRAL},{set:this.limitFunctions,type:sre.SemanticAttr.Type.FUNCTION,role:sre.SemanticAttr.Role.LIMFUNC},
-{set:this.prefixFunctions,type:sre.SemanticAttr.Type.FUNCTION,role:sre.SemanticAttr.Role.PREFIXFUNC},{set:this.infixFunctions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.MULTIPLICATION}];this.meaning_=this.initMeaning_()};goog.addSingletonGetter(sre.SemanticAttr);
+role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFITALIC},{set:this.capitalLatinSansSerifItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFITALIC},{set:this.smallLatinSansSerifBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLDITALIC},{set:this.capitalLatinSansSerifBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,
+font:sre.SemanticAttr.Font.SANSSERIFBOLDITALIC},{set:this.smallLatinMonospace,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.capitalLatinMonospace,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.latinDoubleStruckItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.LATINLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCKITALIC},{set:this.smallGreek,
+type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.capitalGreek,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.smallGreekBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.capitalGreekBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},
+{set:this.smallGreekItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.capitalGreekItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.smallGreekBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLDITALIC},{set:this.capitalGreekBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,
+font:sre.SemanticAttr.Font.BOLDITALIC},{set:this.smallGreekSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.capitalGreekSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.capitalGreekSansSerifBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLDITALIC},
+{set:this.smallGreekSansSerifBoldItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLDITALIC},{set:this.greekDoubleStruck,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},{set:this.greekSpecial,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.NORMAL},{set:this.greekSpecialBold,type:sre.SemanticAttr.Type.IDENTIFIER,
+role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.BOLD},{set:this.greekSpecialItalic,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.ITALIC},{set:this.greekSpecialSansSerifBold,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.GREEKLETTER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.hebrewLetters,type:sre.SemanticAttr.Type.IDENTIFIER,role:sre.SemanticAttr.Role.OTHERLETTER,font:sre.SemanticAttr.Font.NORMAL},
+{set:this.digitsNormal,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsFullWidth,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.NORMAL},{set:this.digitsBold,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.BOLD},{set:this.digitsDoubleStruck,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.DOUBLESTRUCK},
+{set:this.digitsSansSerif,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.SANSSERIF},{set:this.digitsSansSerifBold,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.digitsMonospace,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.INTEGER,font:sre.SemanticAttr.Font.MONOSPACE},{set:this.numbers,type:sre.SemanticAttr.Type.NUMBER,role:sre.SemanticAttr.Role.FLOAT},{set:this.additions,
+type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.ADDITION},{set:this.multiplications,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.MULTIPLICATION},{set:this.subtractions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.SUBTRACTION},{set:this.divisions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.DIVISION},{set:this.prefixOps,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.PREFIXOP},{set:this.prefixOpsBold,type:sre.SemanticAttr.Type.OPERATOR,
+role:sre.SemanticAttr.Role.PREFIXOP,font:sre.SemanticAttr.Font.BOLD},{set:this.prefixOpsItalic,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.PREFIXOP,font:sre.SemanticAttr.Font.ITALIC},{set:this.prefixOpsSansSerifBold,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.PREFIXOP,font:sre.SemanticAttr.Font.SANSSERIFBOLD},{set:this.equalities,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.EQUALITY},{set:this.inequalities,type:sre.SemanticAttr.Type.RELATION,
+role:sre.SemanticAttr.Role.INEQUALITY},{set:this.relations,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.UNKNOWN},{set:this.arrows,type:sre.SemanticAttr.Type.RELATION,role:sre.SemanticAttr.Role.ARROW},{set:this.sumOps,type:sre.SemanticAttr.Type.LARGEOP,role:sre.SemanticAttr.Role.SUM},{set:this.intOps,type:sre.SemanticAttr.Type.LARGEOP,role:sre.SemanticAttr.Role.INTEGRAL},{set:this.limitFunctions,type:sre.SemanticAttr.Type.FUNCTION,role:sre.SemanticAttr.Role.LIMFUNC},{set:this.prefixFunctions,
+type:sre.SemanticAttr.Type.FUNCTION,role:sre.SemanticAttr.Role.PREFIXFUNC},{set:this.infixFunctions,type:sre.SemanticAttr.Type.OPERATOR,role:sre.SemanticAttr.Role.INFIXFUNC}];this.meaning_=this.initMeaning_()};goog.addSingletonGetter(sre.SemanticAttr);
 sre.SemanticAttr.Type={PUNCTUATION:"punctuation",FENCE:"fence",NUMBER:"number",IDENTIFIER:"identifier",TEXT:"text",OPERATOR:"operator",RELATION:"relation",LARGEOP:"largeop",FUNCTION:"function",ACCENT:"accent",FENCED:"fenced",FRACTION:"fraction",PUNCTUATED:"punctuated",RELSEQ:"relseq",MULTIREL:"multirel",INFIXOP:"infixop",PREFIXOP:"prefixop",POSTFIXOP:"postfixop",APPL:"appl",INTEGRAL:"integral",BIGOP:"bigop",SQRT:"sqrt",ROOT:"root",LIMUPPER:"limupper",LIMLOWER:"limlower",LIMBOTH:"limboth",SUBSCRIPT:"subscript",
-SUPERSCRIPT:"superscript",UNDERSCORE:"underscore",OVERSCORE:"overscore",TENSOR:"tensor",TABLE:"table",MULTILINE:"multiline",MATRIX:"matrix",VECTOR:"vector",CASES:"cases",ROW:"row",LINE:"line",CELL:"cell",ENCLOSE:"enclose",UNKNOWN:"unknown",EMPTY:"empty"};
-sre.SemanticAttr.Role={COMMA:"comma",ELLIPSIS:"ellipsis",FULLSTOP:"fullstop",DASH:"dash",PRIME:"prime",VBAR:"vbar",OPENFENCE:"openfence",CLOSEFENCE:"closefence",APPLICATION:"application",DUMMY:"dummy",UNIT:"unit",LABEL:"label",OPEN:"open",CLOSE:"close",TOP:"top",BOTTOM:"bottom",NEUTRAL:"neutral",LATINLETTER:"latinletter",GREEKLETTER:"greekletter",OTHERLETTER:"otherletter",INTEGER:"integer",FLOAT:"float",OTHERNUMBER:"othernumber",MIXED:"mixed",MULTIACCENT:"multiaccent",OVERACCENT:"overaccent",UNDERACCENT:"underaccent",
-UNDEROVER:"underover",SUBSUP:"subsup",LEFTSUB:"leftsub",LEFTSUPER:"leftsuper",RIGHTSUB:"rightsub",RIGHTSUPER:"rightsuper",LEFTRIGHT:"leftright",ABOVEBELOW:"abovebelow",STRING:"string",SEQUENCE:"sequence",ENDPUNCT:"endpunct",STARTPUNCT:"startpunct",TEXT:"text",NEGATIVE:"negative",NEGATION:"negation",MULTIOP:"multiop",LIMFUNC:"limit function",INFIXFUNC:"infix function",PREFIXFUNC:"prefix function",POSTFIXFUNC:"postfix function",SIMPLEFUNC:"simple function",SUM:"sum",INTEGRAL:"integral",ADDITION:"addition",
-MULTIPLICATION:"multiplication",SUBTRACTION:"subtraction",IMPLICIT:"implicit",DIVISION:"division",VULGAR:"vulgar",EQUALITY:"equality",INEQUALITY:"inequality",ELEMENT:"element",ARROW:"arrow",DETERMINANT:"determinant",ROWVECTOR:"rowvector",BINOMIAL:"binomial",SQUAREMATRIX:"squarematrix",MULTILINE:"multiline",MATRIX:"matrix",VECTOR:"vector",CASES:"cases",TABLE:"table",UNKNOWN:"unknown",PROTECTED:"protected"};
+SUPERSCRIPT:"superscript",UNDERSCORE:"underscore",OVERSCORE:"overscore",TENSOR:"tensor",TABLE:"table",MULTILINE:"multiline",MATRIX:"matrix",VECTOR:"vector",CASES:"cases",ROW:"row",LINE:"line",CELL:"cell",ENCLOSE:"enclose",INFERENCE:"inference",RULELABEL:"rulelabel",CONCLUSION:"conclusion",PREMISES:"premises",UNKNOWN:"unknown",EMPTY:"empty"};
+sre.SemanticAttr.Role={COMMA:"comma",ELLIPSIS:"ellipsis",FULLSTOP:"fullstop",DASH:"dash",PRIME:"prime",DEGREE:"degree",VBAR:"vbar",COLON:"colon",OPENFENCE:"openfence",CLOSEFENCE:"closefence",APPLICATION:"application",DUMMY:"dummy",UNIT:"unit",LABEL:"label",OPEN:"open",CLOSE:"close",TOP:"top",BOTTOM:"bottom",NEUTRAL:"neutral",LATINLETTER:"latinletter",GREEKLETTER:"greekletter",OTHERLETTER:"otherletter",INTEGER:"integer",FLOAT:"float",OTHERNUMBER:"othernumber",MIXED:"mixed",MULTIACCENT:"multiaccent",
+OVERACCENT:"overaccent",UNDERACCENT:"underaccent",UNDEROVER:"underover",SUBSUP:"subsup",LEFTSUB:"leftsub",LEFTSUPER:"leftsuper",RIGHTSUB:"rightsub",RIGHTSUPER:"rightsuper",LEFTRIGHT:"leftright",ABOVEBELOW:"abovebelow",SETEMPTY:"set empty",SETEXT:"set extended",SETSINGLE:"set singleton",SETCOLLECT:"set collection",STRING:"string",SEQUENCE:"sequence",ENDPUNCT:"endpunct",STARTPUNCT:"startpunct",TEXT:"text",NEGATIVE:"negative",POSITIVE:"positive",NEGATION:"negation",MULTIOP:"multiop",PREFIXOP:"prefix operator",
+POSTFIXOP:"postfix operator",LIMFUNC:"limit function",INFIXFUNC:"infix function",PREFIXFUNC:"prefix function",POSTFIXFUNC:"postfix function",SIMPLEFUNC:"simple function",COMPFUNC:"composed function",SUM:"sum",INTEGRAL:"integral",ADDITION:"addition",MULTIPLICATION:"multiplication",SUBTRACTION:"subtraction",IMPLICIT:"implicit",DIVISION:"division",VULGAR:"vulgar",EQUALITY:"equality",INEQUALITY:"inequality",ELEMENT:"element",ARROW:"arrow",DETERMINANT:"determinant",ROWVECTOR:"rowvector",BINOMIAL:"binomial",
+SQUAREMATRIX:"squarematrix",MULTILINE:"multiline",MATRIX:"matrix",VECTOR:"vector",CASES:"cases",TABLE:"table",PROOF:"proof",LEFT:"left",RIGHT:"right",UP:"up",DOWN:"down",FINAL:"final",SINGLE:"single",HYP:"hyp",AXIOM:"axiom",UNKNOWN:"unknown"};
 sre.SemanticAttr.Font={BOLD:"bold",BOLDFRAKTUR:"bold-fraktur",BOLDITALIC:"bold-italic",BOLDSCRIPT:"bold-script",CALIGRAPHIC:"caligraphic",CALIGRAPHICBOLD:"caligraphic-bold",DOUBLESTRUCK:"double-struck",DOUBLESTRUCKITALIC:"double-struck-italic",FRAKTUR:"fraktur",ITALIC:"italic",MONOSPACE:"monospace",NORMAL:"normal",OLDSTYLE:"oldstyle",OLDSTYLEBOLD:"oldstyle-bold",SCRIPT:"script",SANSSERIF:"sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLD:"sans-serif-bold",SANSSERIFBOLDITALIC:"sans-serif-bold-italic",
-UNKNOWN:"unknown"};sre.SemanticAttr.prototype.lookupType=function(a){return sre.SemanticAttr.Type.UNKNOWN};sre.SemanticAttr.prototype.lookupRole=function(a){return sre.SemanticAttr.Role.UNKNOWN};sre.SemanticAttr.lookupMeaning=function(a){return sre.SemanticAttr.getInstance().lookupMeaning_(a)};sre.SemanticAttr.invisibleTimes=function(){return sre.SemanticAttr.getInstance().invisibleTimes_};sre.SemanticAttr.invisibleComma=function(){return sre.SemanticAttr.getInstance().invisibleComma_};
-sre.SemanticAttr.functionApplication=function(){return sre.SemanticAttr.getInstance().functionApplication_};sre.SemanticAttr.isMatchingFenceRole=function(a,b){return a==sre.SemanticAttr.Role.OPEN&&b==sre.SemanticAttr.Role.CLOSE||a==sre.SemanticAttr.Role.NEUTRAL&&b==sre.SemanticAttr.Role.NEUTRAL||a==sre.SemanticAttr.Role.TOP&&b==sre.SemanticAttr.Role.BOTTOM};sre.SemanticAttr.isMatchingFence=function(a,b){return sre.SemanticAttr.getInstance().isMatchingFence_(a,b)};
-sre.SemanticAttr.isOpeningFence=function(a){return a==sre.SemanticAttr.Role.OPEN||a==sre.SemanticAttr.Role.NEUTRAL};sre.SemanticAttr.isClosingFence=function(a){return a==sre.SemanticAttr.Role.CLOSE||a==sre.SemanticAttr.Role.NEUTRAL};sre.SemanticAttr.isEmbellishedType=function(a){return a===sre.SemanticAttr.Type.OPERATOR||a===sre.SemanticAttr.Type.RELATION||a===sre.SemanticAttr.Type.FENCE||a===sre.SemanticAttr.Type.PUNCTUATION};sre.SemanticAttr.isCharacterD=function(a){return-1!="d \u2146 \uff44 \ud835\udc1d \ud835\udc51 \ud835\udcb9 \ud835\udced \ud835\udd21 \ud835\udd55 \ud835\udd89 \ud835\uddbd \ud835\uddf1 \ud835\ude25 \ud835\ude8d".split(" ").indexOf(a)};
-sre.SemanticAttr.prototype.isMatchingFence_=function(a,b){return-1!=this.neutralFences.indexOf(a)?a==b:this.openClosePairs[a]==b||this.topBottomPairs[a]==b};sre.SemanticAttr.prototype.initMeaning_=function(){for(var a={},b=0,c;c=this.symbolSetToSemantic_[b];b++)c.set.forEach(function(b){a[b]={role:c.role||sre.SemanticAttr.Role.UNKNOWN,type:c.type||sre.SemanticAttr.Type.UNKNOWN,font:c.font||sre.SemanticAttr.Font.UNKNOWN}});return a};
-sre.SemanticAttr.prototype.lookupMeaning_=function(a){return this.meaning_[a]||{role:sre.SemanticAttr.Role.UNKNOWN,type:sre.SemanticAttr.Type.UNKNOWN,font:sre.SemanticAttr.Font.UNKNOWN}};sre.MathUtil={};sre.MathUtil.isMathmlNodeOfClass_=function(a,b){return-1!=b.indexOf(a.tagName.toUpperCase())};sre.MathUtil.isMathjaxNodeOfClass_=function(a,b){return"SPAN"==a.tagName?a.className.split(" ").some(function(a){return-1!=b.indexOf(a.toUpperCase())}):!1};sre.MathUtil.isMathNodeOfClass_=function(a,b){return a.nodeType==sre.DomUtil.NodeType.ELEMENT_NODE&&(sre.MathUtil.isMathmlNodeOfClass_(a,b)||sre.MathUtil.isMathjaxNodeOfClass_(a,b))};sre.MathUtil.TOKEN_LIST="MI MN MO MTEXT MSPACE MS".split(" ");
-sre.MathUtil.isToken=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.TOKEN_LIST)};sre.MathUtil.LAYOUT_LIST="MROW MFRAC MSQRT MROOT MSTYLE MERROR MPADDED MPHANTOM MFENCED MENCLOSE".split(" ");sre.MathUtil.isLayout=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.LAYOUT_LIST)};sre.MathUtil.SCRIPT_LIST="MSUB MSUP MSUBSUP MUNDER MOVER MUNDEROVER MMULTISCRIPTS MPRESCRIPTS".split(" ");sre.MathUtil.isScript=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.SCRIPT_LIST)};
-sre.MathUtil.TABLES_LIST="MTABLE MLABELEDTR MTR MTD MALIGNGROUP MALIGNMARK".split(" ");sre.MathUtil.isTables=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.TABLES_LIST)};sre.MathUtil.ELEMENTARY_LIST="MSTACK MLONGDIV MSGROUP MSROW MSCARRIES MSCARRY MSLINE".split(" ");sre.MathUtil.isElementary=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.ELEMENTARY_LIST)};
-sre.MathUtil.MATHML_TAG_LIST=[sre.MathUtil.TOKEN_LIST,sre.MathUtil.LAYOUT_LIST,sre.MathUtil.SCRIPT_LIST,sre.MathUtil.TABLES_LIST,sre.MathUtil.ELEMENTARY_LIST].reduce(function(a,b){return a.concat(b)});sre.MathUtil.isMathmlTag=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.MATHML_TAG_LIST)};sre.MathUtil.WHITESPACE_LIST=["MSROW","MROW","MSPACE","MPHANTOM","MPADDED"];sre.MathUtil.isWhitespace=function(a){return sre.MathUtil.isMathNodeOfClass_(a,sre.MathUtil.WHITESPACE_LIST)};
-sre.MathUtil.isNotWhitespace=function(a){return sre.MathUtil.isMathmlTag(a)&&!sre.MathUtil.isWhitespace(a)};sre.MathUtil.nextSeparatorFunction=function(a){if(a){if(a.match(/^\s+$/))return null;var b=a.replace(/\s/g,"").split("").filter(function(a){return a})}else b=[","];return function(){return 1<b.length?b.shift():b[0]}};sre.SemanticNode=function(a){this.id=a;this.mathml=[];this.parent=null;this.type=sre.SemanticAttr.Type.UNKNOWN;this.role=sre.SemanticAttr.Role.UNKNOWN;this.font=sre.SemanticAttr.Font.UNKNOWN;this.embellished=null;this.fencePointer="";this.childNodes=[];this.textContent="";this.mathmlTree=null;this.contentNodes=[]};sre.SemanticNode.prototype.querySelectorAll=function(a){for(var b=[],c=0,d;d=this.childNodes[c];c++)b=b.concat(d.querySelectorAll(a));a(this)&&b.unshift(this);return b};
-sre.SemanticNode.prototype.xml=function(a,b){var c=function(c,d){d=d.map(function(c){return c.xml(a,b)});c=a.createElementNS("",c);for(var e=0,f;f=d[e];e++)c.appendChild(f);return c},d=a.createElementNS("",this.type);b||this.xmlAttributes_(d);d.textContent=this.textContent;0<this.contentNodes.length&&d.appendChild(c("content",this.contentNodes));0<this.childNodes.length&&d.appendChild(c("children",this.childNodes));return d};
-sre.SemanticNode.prototype.toString=function(a){var b=new sre.SystemExternal.xmldom.XMLSerializer,c=(new sre.SystemExternal.xmldom.DOMParser).parseFromString("","text/xml");return b.serializeToString(this.xml(c,a))};
-sre.SemanticNode.prototype.xmlAttributes_=function(a){a.setAttribute("role",this.role);this.font!=sre.SemanticAttr.Font.UNKNOWN&&a.setAttribute("font",this.font);this.embellished&&a.setAttribute("embellished",this.embellished);this.fencePointer&&a.setAttribute("fencepointer",this.fencePointer);a.setAttribute("id",this.id)};
-sre.SemanticNode.prototype.updateContent=function(a){var b=a.trim();a=a&&!b?a:b;this.textContent!=a&&(b=sre.SemanticAttr.lookupMeaning(a),this.textContent=a,this.role=b.role,this.type=b.type,this.font=b.font)};sre.SemanticNode.prototype.addMathmlNodes=function(a){for(var b=0,c;c=a[b];b++)-1==this.mathml.indexOf(c)&&this.mathml.push(c)};sre.SemanticNode.prototype.removeMathmlNodes_=function(a){for(var b=this.mathml,c=0,d;d=a[c];c++)d=b.indexOf(d),-1!=d&&b.splice(d,1);this.mathml=b};
-sre.SemanticNode.prototype.appendChild=function(a){this.childNodes.push(a);this.addMathmlNodes(a.mathml);a.parent=this};sre.SemanticNode.prototype.replaceChild=function(a,b){var c=this.childNodes.indexOf(a);if(-1!=c){a.parent=null;b.parent=this;this.childNodes[c]=b;c=a.mathml.filter(function(a){return-1==b.mathml.indexOf(a)});var d=b.mathml.filter(function(b){return-1==a.mathml.indexOf(b)});this.removeMathmlNodes_(c);this.addMathmlNodes(d)}};
-sre.SemanticNode.prototype.appendContentNode=function(a){a&&(this.contentNodes.push(a),this.addMathmlNodes(a.mathml),a.parent=this)};sre.SemanticNode.prototype.removeContentNode=function(a){a&&(a=this.contentNodes.indexOf(a),-1!=a&&this.contentNodes.slice(a,1))};
-sre.SemanticNode.prototype.equals=function(a){if(!a||this.type!==a.type||this.role!==a.role||this.textContent!==a.textContent||this.childNodes.length!==a.childNodes.length||this.contentNodes.length!==a.contentNodes.length)return!1;for(var b=0,c,d;c=this.childNodes[b],d=a.childNodes[b];b++)if(!c.equals(d))return!1;for(b=0;c=this.contentNodes[b],d=a.contentNodes[b];b++)if(!c.equals(d))return!1;return!0};
-sre.SemanticNode.prototype.displayTree=function(a){a++;var b=Array(a).join("  ");console.log(b+this.toString());console.log(b+"MathmlTree:");console.log(b+this.mathmlTreeString_());console.log(b+"MathML:");for(var c=0,d;d=this.mathml[c];c++)console.log(b+d.toString());console.log(b+"Begin Content");this.contentNodes.forEach(function(b){b.displayTree(a)});console.log(b+"End Content");console.log(b+"Begin Children");this.childNodes.forEach(function(b){b.displayTree(a)});console.log(b+"End Children")};
-sre.SemanticNode.prototype.mathmlTreeString_=function(){return this.mathmlTree?this.mathmlTree.toString():"EMPTY"};sre.SemanticNodeFactory=function(){this.idCounter_=0};sre.SemanticNodeFactory.prototype.createNode_=function(){return new sre.SemanticNode(this.idCounter_++)};sre.SemanticNodeFactory.prototype.makeUnprocessed=function(a){var b=this.createNode_();b.mathml=[a];return b};sre.SemanticNodeFactory.prototype.makeEmptyNode=function(){var a=this.createNode_();a.type=sre.SemanticAttr.Type.EMPTY;return a};
-sre.SemanticNodeFactory.prototype.makeContentNode=function(a){var b=this.createNode_();b.updateContent(a);return b};sre.SemanticNodeFactory.prototype.makeMultipleContentNodes=function(a,b){for(var c=[],d=0;d<a;d++)c.push(this.makeContentNode(b));return c};sre.SemanticNodeFactory.prototype.makeLeafNode=function(a,b){if(!a)return this.makeEmptyNode();a=this.makeContentNode(a);a.font=b||a.font;return a};
-sre.SemanticNodeFactory.prototype.makeBranchNode=function(a,b,c,d){var e=this.createNode_();d&&e.updateContent(d);e.type=a;e.childNodes=b;e.contentNodes=c;b.concat(c).forEach(function(a){a.parent=e;e.addMathmlNodes(a.mathml)});return e};sre.SemanticParser=function(){};sre.SemanticParser.prototype.parse=function(a){};sre.SemanticParser.prototype.getFactory=function(){};sre.SemanticParser.prototype.setFactory=function(a){};sre.SemanticParser.prototype.getType=function(){};sre.SemanticAbstractParser=function(a){this.type_=a;this.factory_=new sre.SemanticNodeFactory};sre.SemanticAbstractParser.prototype.getFactory=function(){return this.factory_};sre.SemanticAbstractParser.prototype.setFactory=function(a){this.factory_=a};
-sre.SemanticAbstractParser.prototype.getType=function(){return this.type_};sre.SemanticAbstractParser.prototype.parse=goog.abstractMethod;sre.SemanticPred={};sre.SemanticPred.isAttribute=function(a,b){return function(c){c=c[a];a:switch(a){case "role":var d=sre.SemanticAttr.Role[b];break a;case "font":d=sre.SemanticAttr.Font[b];break a;default:d=sre.SemanticAttr.Type[b]}return c===d}};
+UNKNOWN:"unknown"};sre.SemanticAttr.equal=function(a,b){return a.type===b.type&&a.role===b.role&&a.font===b.font};sre.SemanticAttr.prototype.lookupType=function(a){return sre.SemanticAttr.Type.UNKNOWN};sre.SemanticAttr.prototype.lookupRole=function(a){return sre.SemanticAttr.Role.UNKNOWN};sre.SemanticAttr.lookupMeaning=function(a){return sre.SemanticAttr.getInstance().lookupMeaning_(a)};sre.SemanticAttr.invisibleTimes=function(){return sre.SemanticAttr.getInstance().invisibleTimes_};
+sre.SemanticAttr.invisibleComma=function(){return sre.SemanticAttr.getInstance().invisibleComma_};sre.SemanticAttr.functionApplication=function(){return sre.SemanticAttr.getInstance().functionApplication_};sre.SemanticAttr.isMatchingFenceRole=function(a,b){return a==sre.SemanticAttr.Role.OPEN&&b==sre.SemanticAttr.Role.CLOSE||a==sre.SemanticAttr.Role.NEUTRAL&&b==sre.SemanticAttr.Role.NEUTRAL||a==sre.SemanticAttr.Role.TOP&&b==sre.SemanticAttr.Role.BOTTOM};
+sre.SemanticAttr.isMatchingFence=function(a,b){return sre.SemanticAttr.getInstance().isMatchingFence_(a,b)};sre.SemanticAttr.isOpeningFence=function(a){return a==sre.SemanticAttr.Role.OPEN||a==sre.SemanticAttr.Role.NEUTRAL};sre.SemanticAttr.isClosingFence=function(a){return a==sre.SemanticAttr.Role.CLOSE||a==sre.SemanticAttr.Role.NEUTRAL};
+sre.SemanticAttr.isEmbellishedType=function(a){return a===sre.SemanticAttr.Type.OPERATOR||a===sre.SemanticAttr.Type.RELATION||a===sre.SemanticAttr.Type.FENCE||a===sre.SemanticAttr.Type.PUNCTUATION};sre.SemanticAttr.isCharacterD=function(a){return-1!="d \u2146 \uff44 \ud835\udc1d \ud835\udc51 \ud835\udcb9 \ud835\udced \ud835\udd21 \ud835\udd55 \ud835\udd89 \ud835\uddbd \ud835\uddf1 \ud835\ude25 \ud835\ude8d".split(" ").indexOf(a)};
+sre.SemanticAttr.prototype.isMatchingFence_=function(a,b){return-1!=this.neutralFences.indexOf(a)?a==b:this.openClosePairs[a]==b||this.topBottomPairs[a]==b};sre.SemanticAttr.prototype.initMeaning_=function(){for(var a={},b=0,c;c=this.symbolSetToSemantic_[b];b++)c.set.forEach(function(d){a[d]={role:c.role||sre.SemanticAttr.Role.UNKNOWN,type:c.type||sre.SemanticAttr.Type.UNKNOWN,font:c.font||sre.SemanticAttr.Font.UNKNOWN}});return a};
+sre.SemanticAttr.prototype.lookupMeaning_=function(a){return this.meaning_[a]||{role:sre.SemanticAttr.Role.UNKNOWN,type:sre.SemanticAttr.Type.UNKNOWN,font:sre.SemanticAttr.Font.UNKNOWN}};sre.SemanticNode=function(a){this.id=a;this.mathml=[];this.parent=null;this.type=sre.SemanticAttr.Type.UNKNOWN;this.role=sre.SemanticAttr.Role.UNKNOWN;this.font=sre.SemanticAttr.Font.UNKNOWN;this.embellished=null;this.fencePointer="";this.childNodes=[];this.textContent="";this.mathmlTree=null;this.contentNodes=[];this.annotation={};this.attributes={}};
+sre.SemanticNode.prototype.querySelectorAll=function(a){for(var b=[],c=0,d;d=this.childNodes[c];c++)b=b.concat(d.querySelectorAll(a));for(c=0;d=this.contentNodes[c];c++)b=b.concat(d.querySelectorAll(a));a(this)&&b.unshift(this);return b};sre.SemanticNode.Attribute={EMBELLISHED:"embellished",FENCEPOINTER:"fencepointer",FONT:"font",ID:"id",ANNOTATION:"annotation",ROLE:"role",TYPE:"type",CHILDREN:"children",CONTENT:"content",TEXT:"$t"};
+sre.SemanticNode.prototype.xml=function(a,b){var c=function(e,f){f=f.map(function(k){return k.xml(a,b)});e=a.createElementNS("",e);for(var g=0,h;h=f[g];g++)e.appendChild(h);return e},d=a.createElementNS("",this.type);b||this.xmlAttributes_(d);d.textContent=this.textContent;0<this.contentNodes.length&&d.appendChild(c(sre.SemanticNode.Attribute.CONTENT,this.contentNodes));0<this.childNodes.length&&d.appendChild(c(sre.SemanticNode.Attribute.CHILDREN,this.childNodes));return d};
+sre.SemanticNode.prototype.toString=function(a){var b=new sre.SystemExternal.xmldom.XMLSerializer,c=(new sre.SystemExternal.xmldom.DOMParser).parseFromString("<snode/>","text/xml");return b.serializeToString(this.xml(c,a))};sre.SemanticNode.prototype.xmlAttributes_=function(a){for(var b=this.allAttributes(),c=0,d;d=b[c];c++)a.setAttribute(d[0],d[1]);this.addExternalAttributes_(a)};
+sre.SemanticNode.prototype.allAttributes=function(){var a=[];a.push([sre.SemanticNode.Attribute.ROLE,this.role]);this.font!=sre.SemanticAttr.Font.UNKNOWN&&a.push([sre.SemanticNode.Attribute.FONT,this.font]);Object.keys(this.annotation).length&&a.push([sre.SemanticNode.Attribute.ANNOTATION,this.xmlAnnotation()]);this.embellished&&a.push([sre.SemanticNode.Attribute.EMBELLISHED,this.embellished]);this.fencePointer&&a.push([sre.SemanticNode.Attribute.FENCEPOINTER,this.fencePointer]);a.push([sre.SemanticNode.Attribute.ID,
+this.id]);return a};sre.SemanticNode.prototype.addExternalAttributes_=function(a){for(var b in this.attributes)a.setAttribute(b,this.attributes[b])};sre.SemanticNode.prototype.xmlAnnotation=function(){var a=[],b;for(b in this.annotation)this.annotation[b].forEach(function(c){a.push(b+":"+c)});return a.join(";")};
+sre.SemanticNode.prototype.toJson=function(){var a={};a[sre.SemanticNode.Attribute.TYPE]=this.type;for(var b=this.allAttributes(),c=0,d;d=b[c];c++)a[d[0]]=d[1].toString();this.textContent&&(a[sre.SemanticNode.Attribute.TEXT]=this.textContent);this.childNodes.length&&(a[sre.SemanticNode.Attribute.CHILDREN]=this.childNodes.map(function(e){return e.toJson()}));this.contentNodes.length&&(a[sre.SemanticNode.Attribute.CONTENT]=this.contentNodes.map(function(e){return e.toJson()}));return a};
+sre.SemanticNode.prototype.updateContent=function(a,b){b=b?a.replace(/^[ \f\n\r\t\v\u200b]*/,"").replace(/[ \f\n\r\t\v\u200b]*$/,""):a.trim();a=a&&!b?a:b;this.textContent!=a&&(b=sre.SemanticAttr.lookupMeaning(a),this.textContent=a,this.role=b.role,this.type=b.type,this.font=b.font)};sre.SemanticNode.prototype.addMathmlNodes=function(a){for(var b=0,c;c=a[b];b++)-1==this.mathml.indexOf(c)&&this.mathml.push(c)};
+sre.SemanticNode.prototype.removeMathmlNodes_=function(a){for(var b=this.mathml,c=0,d;d=a[c];c++)d=b.indexOf(d),-1!=d&&b.splice(d,1);this.mathml=b};sre.SemanticNode.prototype.appendChild=function(a){this.childNodes.push(a);this.addMathmlNodes(a.mathml);a.parent=this};
+sre.SemanticNode.prototype.replaceChild=function(a,b){var c=this.childNodes.indexOf(a);if(-1!=c){a.parent=null;b.parent=this;this.childNodes[c]=b;c=a.mathml.filter(function(e){return-1==b.mathml.indexOf(e)});var d=b.mathml.filter(function(e){return-1==a.mathml.indexOf(e)});this.removeMathmlNodes_(c);this.addMathmlNodes(d)}};sre.SemanticNode.prototype.appendContentNode=function(a){a&&(this.contentNodes.push(a),this.addMathmlNodes(a.mathml),a.parent=this)};
+sre.SemanticNode.prototype.removeContentNode=function(a){a&&(a=this.contentNodes.indexOf(a),-1!=a&&this.contentNodes.slice(a,1))};
+sre.SemanticNode.prototype.equals=function(a){if(!a||this.type!==a.type||this.role!==a.role||this.textContent!==a.textContent||this.childNodes.length!==a.childNodes.length||this.contentNodes.length!==a.contentNodes.length)return!1;for(var b=0,c,d;c=this.childNodes[b],d=a.childNodes[b];b++)if(!c.equals(d))return!1;for(b=0;c=this.contentNodes[b],d=a.contentNodes[b];b++)if(!c.equals(d))return!1;return!0};sre.SemanticNode.prototype.displayTree=function(){console.info(this.displayTree_(0))};
+sre.SemanticNode.prototype.displayTree_=function(a){a++;var b=Array(a).join("  "),c="";c+="\n"+b+this.toString();c+="\n"+b+"MathmlTree:";c+="\n"+b+this.mathmlTreeString_();c+="\n"+b+"MathML:";for(var d=0,e;e=this.mathml[d];d++)c+="\n"+b+e.toString();c+="\n"+b+"Begin Content";this.contentNodes.forEach(function(f){c+=f.displayTree_(a)});c+="\n"+b+"End Content";c+="\n"+b+"Begin Children";this.childNodes.forEach(function(f){c+=f.displayTree_(a)});return c+="\n"+b+"End Children"};
+sre.SemanticNode.prototype.mathmlTreeString_=function(){return this.mathmlTree?this.mathmlTree.toString():"EMPTY"};sre.SemanticNode.prototype.addAnnotation=function(a,b){b&&this.addAnnotation_(a,b)};sre.SemanticNode.prototype.addAnnotation_=function(a,b){var c=this.annotation[a];c?c.push(b):this.annotation[a]=[b]};sre.SemanticNode.prototype.getAnnotation=function(a){return(a=this.annotation[a])?a:[]};
+sre.SemanticNode.prototype.hasAnnotation=function(a,b){return(a=this.annotation[a])?-1!==a.indexOf(b):!1};sre.SemanticNode.prototype.parseAnnotation=function(a){a=a.split(";");for(var b=0,c=a.length;b<c;b++){var d=a[b].split(":");this.addAnnotation(d[0],d[1])}};sre.SemanticNode.prototype.meaning=function(){return{type:this.type,role:this.role,font:this.font}};sre.SemanticAnnotator=function(a,b){this.domain=a;this.func=b;this.name=a};sre.SemanticAnnotator.prototype.annotate=function(a){a.childNodes.forEach(goog.bind(this.annotate,this));a.addAnnotation(this.domain,this.func(a))};sre.SemanticVisitor=function(a,b,c){this.domain=a;this.func=b;this.name=a;this.def=c||{}};sre.SemanticVisitor.prototype.visit=function(a,b){b=this.func(a,b);a.addAnnotation(this.domain,b[0]);for(var c=0,d;d=a.childNodes[c];c++)b=this.visit(d,b[1]);return b};sre.SemanticAnnotations=function(){this.annotators={};this.visitors={};this.counter=0};goog.addSingletonGetter(sre.SemanticAnnotations);sre.SemanticAnnotations.prototype.register=function(a){a.name=a.domain+this.counter++;(a instanceof sre.SemanticAnnotator?this.annotators:this.visitors)[a.name]=a};sre.SemanticAnnotations.prototype.unregister=function(a){delete this.annotators[a];delete this.visitors[a]};
+sre.SemanticAnnotations.prototype.annotate=function(a){for(var b in this.annotators)this.annotators[b].annotate(a);for(var c in this.visitors)this.visitors[c].visit(a,this.visitors[c].def)};sre.SemanticOrdering=function(){this.comparators=[]};goog.addSingletonGetter(sre.SemanticOrdering);sre.SemanticOrdering.prototype.add=function(a){this.comparators.push(a)};sre.SemanticOrdering.prototype.apply=function(a,b){for(var c=0,d;d=this.comparators[c];c++)if(d=d.compare(a,b),0!==d)return d;return 0};sre.SemanticOrdering.prototype.sort=function(a){a.sort(goog.bind(this.apply,this))};
+sre.SemanticOrdering.prototype.reduce=function(a){if(1>=a.length)return a;a=a.slice();this.sort(a);var b=[];do{var c=a.pop();b.push(c)}while(c&&a.length&&0===this.apply(a[a.length-1],c));return b};sre.SemanticComparator=function(a,b){this.comparator=a;this.type=b||null;sre.SemanticOrdering.getInstance().add(this)};sre.SemanticComparator.prototype.compare=function(a,b){return this.type&&this.type===a.type&&this.type===b.type?this.comparator(a,b):0};
+sre.SemanticOrdering.simpleFunction=function(a,b){return a.role===sre.SemanticAttr.Role.SIMPLEFUNC?1:b.role===sre.SemanticAttr.Role.SIMPLEFUNC?-1:0};new sre.SemanticComparator(sre.SemanticOrdering.simpleFunction,sre.SemanticAttr.Type.IDENTIFIER);sre.SemanticDefault=function(){this.map_={}};sre.SemanticDefault.prototype.add=function(a,b){this.map_[sre.SemanticDefault.key_(a,b.font)]=b};sre.SemanticDefault.prototype.addNode=function(a){this.add(a.textContent,a.meaning())};sre.SemanticDefault.prototype.retrieve=function(a,b){return this.map_[sre.SemanticDefault.key_(a,b)]};sre.SemanticDefault.prototype.retrieveNode=function(a){return this.retrieve(a.textContent,a.font)};sre.SemanticDefault.key_=function(a,b){return b?a+":"+b:a};
+sre.SemanticDefault.prototype.size=function(){return Object.keys(this.map_).length};sre.SemanticCollator_=function(){this.map_={}};sre.SemanticCollator_.prototype.add=function(a,b){a=sre.SemanticDefault.key_(a,b.font);var c=this.map_[a];c?c.push(b):this.map_[a]=[b]};sre.SemanticCollator_.prototype.addNode=function(a){this.add(a.textContent,a)};sre.SemanticCollator_.prototype.retrieve=function(a,b){return this.map_[sre.SemanticDefault.key_(a,b)]};
+sre.SemanticCollator_.prototype.retrieveNode=function(a){return this.retrieve(a.textContent,a.font)};sre.SemanticCollator_.prototype.copyCollator=goog.abstractMethod;sre.SemanticCollator_.prototype.copy=function(){var a=this.copyCollator(),b;for(b in this.map_)a.map_[b]=this.map_[b];return a};sre.SemanticCollator_.prototype.minimize=function(){for(var a in this.map_)1===this.map_[a].length&&delete this.map_[a]};
+sre.SemanticCollator_.prototype.reduce=function(){for(var a in this.map_)1!==this.map_[a].length&&(this.map_[a]=sre.SemanticOrdering.getInstance().reduce(this.map_[a]))};sre.SemanticCollator_.prototype.minimalCollator=function(){var a=this.copy(),b;for(b in a.map_)1===a.map_[b].length&&delete a.map_[b];return a};sre.SemanticCollator_.prototype.isMultiValued=function(){for(var a in this.map_)if(1<this.map_[a].length)return!0;return!1};sre.SemanticCollator_.prototype.isEmpty=function(){return!Object.keys(this.map_).length};
+sre.SemanticNodeCollator=function(){sre.SemanticCollator_.call(this)};goog.inherits(sre.SemanticNodeCollator,sre.SemanticCollator_);sre.SemanticNodeCollator.prototype.copyCollator=function(){return new sre.SemanticNodeCollator};sre.SemanticNodeCollator.prototype.toString=function(){var a=[],b;for(b in this.map_){for(var c=Array(b.length+3).join(" "),d=this.map_[b],e=[],f=0,g;g=d[f];f++)e.push(g.toString());a.push(b+": "+e.join("\n"+c))}return a.join("\n")};
+sre.SemanticNodeCollator.prototype.collateMeaning=function(){var a=new sre.SemanticMeaningCollator,b;for(b in this.map_)a.map_[b]=this.map_[b].map(function(c){return c.meaning()});return a};sre.SemanticMeaningCollator=function(){sre.SemanticCollator_.call(this)};goog.inherits(sre.SemanticMeaningCollator,sre.SemanticCollator_);sre.SemanticMeaningCollator.prototype.copyCollator=function(){return new sre.SemanticMeaningCollator};
+sre.SemanticMeaningCollator.prototype.add=function(a,b){var c=this.retrieve(a,b.font);c&&c.find(function(d){return sre.SemanticAttr.equal(d,b)})||sre.SemanticMeaningCollator.superClass_.add.call(this,a,b)};sre.SemanticMeaningCollator.prototype.addNode=function(a){this.add(a.textContent,a.meaning())};
+sre.SemanticMeaningCollator.prototype.toString=function(){var a=[],b;for(b in this.map_){for(var c=Array(b.length+3).join(" "),d=this.map_[b],e=[],f=0,g;g=d[f];f++)e.push("{type: "+g.type+", role: "+g.role+", font: "+g.font+"}");a.push(b+": "+e.join("\n"+c))}return a.join("\n")};sre.SemanticMeaningCollator.prototype.default=function(){var a=new sre.SemanticDefault,b;for(b in this.map_)1===this.map_[b].length&&(a.map_[b]=this.map_[b][0]);return a};
+sre.SemanticMeaningCollator.prototype.newDefault=function(){var a=this.default();this.reduce();var b=this.default();return a.size()!==b.size()?b:null};sre.SemanticNodeFactory=function(){this.idCounter_=-1;this.leafMap=new sre.SemanticNodeCollator;this.defaultMap=new sre.SemanticDefault};sre.SemanticNodeFactory.prototype.createNode_=function(a){"undefined"!==typeof a?this.idCounter_=Math.max(this.idCounter_,a):a=++this.idCounter_;return new sre.SemanticNode(a)};sre.SemanticNodeFactory.prototype.makeNode=function(a){return this.createNode_(a)};sre.SemanticNodeFactory.prototype.makeUnprocessed=function(a){var b=this.createNode_();b.mathml=[a];return b};
+sre.SemanticNodeFactory.prototype.makeEmptyNode=function(){var a=this.createNode_();a.type=sre.SemanticAttr.Type.EMPTY;return a};sre.SemanticNodeFactory.prototype.makeContentNode=function(a){var b=this.createNode_();b.updateContent(a);return b};sre.SemanticNodeFactory.prototype.makeMultipleContentNodes=function(a,b){for(var c=[],d=0;d<a;d++)c.push(this.makeContentNode(b));return c};
+sre.SemanticNodeFactory.prototype.makeLeafNode=function(a,b){if(!a)return this.makeEmptyNode();a=this.makeContentNode(a);a.font=b||a.font;if(b=this.defaultMap.retrieveNode(a))a.type=b.type,a.role=b.role,a.font=b.font;this.leafMap.addNode(a);return a};sre.SemanticNodeFactory.prototype.makeBranchNode=function(a,b,c,d){var e=this.createNode_();d&&e.updateContent(d);e.type=a;e.childNodes=b;e.contentNodes=c;b.concat(c).forEach(function(f){f.parent=e;e.addMathmlNodes(f.mathml)});return e};sre.SemanticParser=function(){};sre.SemanticParser.prototype.parse=function(a){};sre.SemanticParser.prototype.parseList=function(a){};sre.SemanticParser.prototype.getFactory=function(){};sre.SemanticParser.prototype.setFactory=function(a){};sre.SemanticParser.prototype.getType=function(){};sre.SemanticAbstractParser=function(a){this.type_=a;this.factory_=new sre.SemanticNodeFactory};sre.SemanticAbstractParser.prototype.getFactory=function(){return this.factory_};
+sre.SemanticAbstractParser.prototype.setFactory=function(a){this.factory_=a};sre.SemanticAbstractParser.prototype.getType=function(){return this.type_};sre.SemanticAbstractParser.prototype.parse=goog.abstractMethod;sre.SemanticAbstractParser.prototype.parseList=function(a){for(var b=[],c=0,d;d=a[c];c++)b.push(this.parse(d));return b};sre.SemanticPred={};sre.SemanticPred.isAttribute=function(a,b){return function(c){c=c[a];a:switch(a){case "role":var d=sre.SemanticAttr.Role[b];break a;case "font":d=sre.SemanticAttr.Font[b];break a;default:d=sre.SemanticAttr.Type[b]}return c===d}};
 sre.SemanticPred.isAccent=function(a){return sre.SemanticPred.isAttribute("type","FENCE")(a)||sre.SemanticPred.isAttribute("type","PUNCTUATION")(a)||sre.SemanticPred.isAttribute("type","OPERATOR")(a)||sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)&&sre.SemanticPred.isAttribute("role","UNKNOWN")(a)&&!a.textContent.match(new RegExp(sre.SemanticAttr.getInstance().allLetters.join("|")))};
-sre.SemanticPred.isSimpleFunction=function(a){a=a.childNodes;if(0===a.length)return!0;if(1<a.length)return!1;a=a[0];return a.type!==sre.SemanticAttr.Type.INFIXOP||a.role===sre.SemanticAttr.Role.IMPLICIT&&!a.childNodes.some(sre.SemanticPred.isAttribute("type","INFIXOP"))?!0:!1};sre.SemanticPred.isPrefixFunctionBoundary=function(a){return sre.SemanticPred.isOperator(a)||sre.SemanticPred.isGeneralFunctionBoundary(a)};
-sre.SemanticPred.isIntegralDxBoundary=function(a,b){return!!b&&sre.SemanticPred.isAttribute("type","IDENTIFIER")(b)&&sre.SemanticAttr.isCharacterD(a.textContent)};sre.SemanticPred.isIntegralDxBoundarySingle=function(a){if(sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)){var b=a.textContent[0];return b&&a.textContent[1]&&sre.SemanticAttr.isCharacterD(b)}return!1};sre.SemanticPred.isGeneralFunctionBoundary=function(a){return sre.SemanticPred.isRelation(a)||sre.SemanticPred.isPunctuation(a)};
-sre.SemanticPred.isEmbellished=function(a){return a.embellished?a.embellished:sre.SemanticAttr.isEmbellishedType(a.type)?a.type:null};sre.SemanticPred.isOperator=function(a){return sre.SemanticPred.isAttribute("type","OPERATOR")(a)||sre.SemanticPred.isAttribute("embellished","OPERATOR")(a)};sre.SemanticPred.isRelation=function(a){return sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("embellished","RELATION")(a)};
-sre.SemanticPred.isPunctuation=function(a){return sre.SemanticPred.isAttribute("type","PUNCTUATION")(a)||sre.SemanticPred.isAttribute("embellished","PUNCTUATION")(a)};sre.SemanticPred.isFence=function(a){return sre.SemanticPred.isAttribute("type","FENCE")(a)||sre.SemanticPred.isAttribute("embellished","FENCE")(a)};
-sre.SemanticPred.isElligibleEmbellishedFence=function(a){if(!a||!sre.SemanticPred.isFence(a))return!1;if(!a.embellished)return!0;var b=function(a){return a.embellished?!(!sre.SemanticPred.isAttribute("type","TENSOR")(a)||sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[1])&&sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[2])||sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[3])&&sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[4]))||sre.SemanticPred.isAttribute("role",
-"CLOSE")(a)&&sre.SemanticPred.isAttribute("type","TENSOR")(a)||sre.SemanticPred.isAttribute("role","OPEN")(a)&&(sre.SemanticPred.isAttribute("type","SUBSCRIPT")(a)||sre.SemanticPred.isAttribute("type","SUPERSCRIPT")(a))?!1:b(a.childNodes[0]):!0};return b(a)};sre.SemanticPred.isTableOrMultiline=function(a){return!!a&&(sre.SemanticPred.isAttribute("type","TABLE")(a)||sre.SemanticPred.isAttribute("type","MULTILINE")(a))};
-sre.SemanticPred.tableIsMatrixOrVector=function(a){return!!a&&sre.SemanticPred.isAttribute("type","FENCED")(a)&&(sre.SemanticPred.isAttribute("role","LEFTRIGHT")(a)||sre.SemanticPred.isAttribute("role","NEUTRAL")(a))&&1===a.childNodes.length&&sre.SemanticPred.isTableOrMultiline(a.childNodes[0])};sre.SemanticPred.tableIsCases=function(a,b){return 0<b.length&&sre.SemanticPred.isAttribute("role","OPENFENCE")(b[b.length-1])};
-sre.SemanticPred.tableIsMultiline=function(a){return a.childNodes.every(function(a){return 1>=a.childNodes.length})};sre.SemanticPred.isBinomial=function(a){return 2===a.childNodes.length};
+sre.SemanticPred.isSimpleFunctionScope=function(a){a=a.childNodes;if(0===a.length)return!0;if(1<a.length)return!1;a=a[0];return a.type!==sre.SemanticAttr.Type.INFIXOP||a.role===sre.SemanticAttr.Role.IMPLICIT&&!a.childNodes.some(sre.SemanticPred.isAttribute("type","INFIXOP"))?!0:!1};sre.SemanticPred.isPrefixFunctionBoundary=function(a){return sre.SemanticPred.isOperator(a)||sre.SemanticPred.isAttribute("type","APPL")(a)||sre.SemanticPred.isGeneralFunctionBoundary(a)};
+sre.SemanticPred.isBigOpBoundary=function(a){return sre.SemanticPred.isOperator(a)||sre.SemanticPred.isGeneralFunctionBoundary(a)};sre.SemanticPred.isIntegralDxBoundary=function(a,b){return!!b&&sre.SemanticPred.isAttribute("type","IDENTIFIER")(b)&&sre.SemanticAttr.isCharacterD(a.textContent)};sre.SemanticPred.isIntegralDxBoundarySingle=function(a){if(sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)){var b=a.textContent[0];return b&&a.textContent[1]&&sre.SemanticAttr.isCharacterD(b)}return!1};
+sre.SemanticPred.isGeneralFunctionBoundary=function(a){return sre.SemanticPred.isRelation(a)||sre.SemanticPred.isPunctuation(a)};sre.SemanticPred.isEmbellished=function(a){return a.embellished?a.embellished:sre.SemanticAttr.isEmbellishedType(a.type)?a.type:null};sre.SemanticPred.isOperator=function(a){return sre.SemanticPred.isAttribute("type","OPERATOR")(a)||sre.SemanticPred.isAttribute("embellished","OPERATOR")(a)};
+sre.SemanticPred.isRelation=function(a){return sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("embellished","RELATION")(a)};sre.SemanticPred.isPunctuation=function(a){return sre.SemanticPred.isAttribute("type","PUNCTUATION")(a)||sre.SemanticPred.isAttribute("embellished","PUNCTUATION")(a)};sre.SemanticPred.isFence=function(a){return sre.SemanticPred.isAttribute("type","FENCE")(a)||sre.SemanticPred.isAttribute("embellished","FENCE")(a)};
+sre.SemanticPred.isElligibleEmbellishedFence=function(a){if(!a||!sre.SemanticPred.isFence(a))return!1;if(!a.embellished)return!0;var b=function(c){return c.embellished?!(!sre.SemanticPred.isAttribute("type","TENSOR")(c)||sre.SemanticPred.isAttribute("type","EMPTY")(c.childNodes[1])&&sre.SemanticPred.isAttribute("type","EMPTY")(c.childNodes[2])||sre.SemanticPred.isAttribute("type","EMPTY")(c.childNodes[3])&&sre.SemanticPred.isAttribute("type","EMPTY")(c.childNodes[4]))||sre.SemanticPred.isAttribute("role",
+"CLOSE")(c)&&sre.SemanticPred.isAttribute("type","TENSOR")(c)||sre.SemanticPred.isAttribute("role","OPEN")(c)&&(sre.SemanticPred.isAttribute("type","SUBSCRIPT")(c)||sre.SemanticPred.isAttribute("type","SUPERSCRIPT")(c))?!1:b(c.childNodes[0]):!0};return b(a)};sre.SemanticPred.isTableOrMultiline=function(a){return!!a&&(sre.SemanticPred.isAttribute("type","TABLE")(a)||sre.SemanticPred.isAttribute("type","MULTILINE")(a))};
+sre.SemanticPred.tableIsMatrixOrVector=function(a){return!!a&&sre.SemanticPred.isFencedElement(a)&&sre.SemanticPred.isTableOrMultiline(a.childNodes[0])};sre.SemanticPred.isFencedElement=function(a){return!!a&&sre.SemanticPred.isAttribute("type","FENCED")(a)&&(sre.SemanticPred.isAttribute("role","LEFTRIGHT")(a)||sre.SemanticPred.isAttribute("role","NEUTRAL")(a))&&1===a.childNodes.length};
+sre.SemanticPred.tableIsCases=function(a,b){return 0<b.length&&sre.SemanticPred.isAttribute("role","OPENFENCE")(b[b.length-1])};sre.SemanticPred.tableIsMultiline=function(a){return a.childNodes.every(function(b){return 1>=b.childNodes.length})};sre.SemanticPred.isBinomial=function(a){return 2===a.childNodes.length};
 sre.SemanticPred.isLimitBase=function(a){return sre.SemanticPred.isAttribute("type","LARGEOP")(a)||sre.SemanticPred.isAttribute("type","LIMBOTH")(a)||sre.SemanticPred.isAttribute("type","LIMLOWER")(a)||sre.SemanticPred.isAttribute("type","LIMUPPER")(a)||sre.SemanticPred.isAttribute("type","FUNCTION")(a)&&sre.SemanticPred.isAttribute("role","LIMFUNC")(a)};
-sre.SemanticPred.isSimpleFunctionHead=function(a){return a.type===sre.SemanticAttr.Type.IDENTIFIER||a.role===sre.SemanticAttr.Role.LATINLETTER||a.role===sre.SemanticAttr.Role.GREEKLETTER||a.role===sre.SemanticAttr.Role.OTHERLETTER};sre.SemanticPred.singlePunctAtPosition=function(a,b,c){return 1===b.length&&a[c].type===sre.SemanticAttr.Type.PUNCTUATION&&a[c]===b[0]};sre.SemanticProcessor=function(){this.factory_=new sre.SemanticNodeFactory};goog.addSingletonGetter(sre.SemanticProcessor);sre.SemanticProcessor.prototype.setNodeFactory=function(a){this.factory_=a};
+sre.SemanticPred.isSimpleFunctionHead=function(a){return a.type===sre.SemanticAttr.Type.IDENTIFIER||a.role===sre.SemanticAttr.Role.LATINLETTER||a.role===sre.SemanticAttr.Role.GREEKLETTER||a.role===sre.SemanticAttr.Role.OTHERLETTER};sre.SemanticPred.singlePunctAtPosition=function(a,b,c){return 1===b.length&&(a[c].type===sre.SemanticAttr.Type.PUNCTUATION||a[c].embellished===sre.SemanticAttr.Type.PUNCTUATION)&&a[c]===b[0]};
+sre.SemanticPred.isSimpleFunction=function(a){return sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)&&sre.SemanticPred.isAttribute("role","SIMPLEFUNC")(a)};sre.SemanticPred.isLeftBrace=function(a){var b=["{","\ufe5b","\uff5b"];return!!a&&-1!==b.indexOf(a.textContent)};sre.SemanticPred.isRightBrace=function(a){var b=["}","\ufe5c","\uff5d"];return!!a&&-1!==b.indexOf(a.textContent)};sre.SemanticPred.isSetNode=function(a){return sre.SemanticPred.isLeftBrace(a.contentNodes[0])&&sre.SemanticPred.isRightBrace(a.contentNodes[1])};
+sre.SemanticPred.illegalSingleton_=[sre.SemanticAttr.Type.PUNCTUATION,sre.SemanticAttr.Type.PUNCTUATED,sre.SemanticAttr.Type.RELSEQ,sre.SemanticAttr.Type.MULTIREL,sre.SemanticAttr.Type.TABLE,sre.SemanticAttr.Type.MULTILINE,sre.SemanticAttr.Type.CASES,sre.SemanticAttr.Type.INFERENCE];
+sre.SemanticPred.scriptedElement_=[sre.SemanticAttr.Type.LIMUPPER,sre.SemanticAttr.Type.LIMLOWER,sre.SemanticAttr.Type.LIMBOTH,sre.SemanticAttr.Type.SUBSCRIPT,sre.SemanticAttr.Type.SUPERSCRIPT,sre.SemanticAttr.Type.UNDERSCORE,sre.SemanticAttr.Type.OVERSCORE,sre.SemanticAttr.Type.TENSOR];
+sre.SemanticPred.isSingletonSetContent=function(a){var b=a.type;return-1!==sre.SemanticPred.illegalSingleton_.indexOf(b)||b===sre.SemanticAttr.Type.INFIXOP&&a.role!==sre.SemanticAttr.Role.IMPLICIT?!1:b===sre.SemanticAttr.Type.FENCED?a.role===sre.SemanticAttr.Role.LEFTRIGHT?sre.SemanticPred.isSingletonSetContent(a.childNodes[0]):!0:-1!==sre.SemanticPred.scriptedElement_.indexOf(b)?sre.SemanticPred.isSingletonSetContent(a.childNodes[0]):!0};
+sre.SemanticPred.isNumber=function(a){return a.type===sre.SemanticAttr.Type.NUMBER&&(a.role===sre.SemanticAttr.Role.INTEGER||a.role===sre.SemanticAttr.Role.FLOAT)};sre.SemanticPred.isUnitCounter=function(a){return sre.SemanticPred.isNumber(a)||a.role===sre.SemanticAttr.Role.VULGAR||a.role===sre.SemanticAttr.Role.MIXED};sre.SemanticPred.isPureUnit=function(a){var b=a.childNodes;return a.role===sre.SemanticAttr.Role.UNIT&&(!b.length||b[0].role===sre.SemanticAttr.Role.UNIT)};
+sre.SemanticPred.isImplicit=function(a){return a.role===sre.SemanticAttr.Role.IMPLICIT||a.role===sre.SemanticAttr.Role.UNIT&&!!a.contentNodes.length&&a.contentNodes[0].textContent===sre.SemanticAttr.invisibleTimes()};sre.SemanticProcessor=function(){this.factory_=new sre.SemanticNodeFactory};goog.addSingletonGetter(sre.SemanticProcessor);sre.SemanticProcessor.prototype.setNodeFactory=function(a){this.factory_=a};
 sre.SemanticProcessor.prototype.identifierNode=function(a,b,c){a=sre.SemanticProcessor.getInstance().factory_.makeLeafNode(a,b);if("MathML-Unit"===c)a.type=sre.SemanticAttr.Type.IDENTIFIER,a.role=sre.SemanticAttr.Role.UNIT;else if(!b&&1===a.textContent.length&&(a.role===sre.SemanticAttr.Role.INTEGER||a.role===sre.SemanticAttr.Role.LATINLETTER||a.role===sre.SemanticAttr.Role.GREEKLETTER)&&a.font===sre.SemanticAttr.Font.NORMAL)return a.font=sre.SemanticAttr.Font.ITALIC,a;a.type===sre.SemanticAttr.Type.UNKNOWN&&
-(a.type=sre.SemanticAttr.Type.IDENTIFIER);sre.SemanticProcessor.exprFont_(a);return a};
-sre.SemanticProcessor.prototype.implicitNode_=function(a){a=sre.SemanticProcessor.getInstance().getMixedNumbers_(a);a=sre.SemanticProcessor.getInstance().combineUnits_(a);if(1===a.length)return a[0];var b=sre.SemanticProcessor.getInstance().factory_.makeMultipleContentNodes(a.length-1,sre.SemanticAttr.invisibleTimes()),c=sre.SemanticProcessor.getInstance().infixNode_(a,b[0]);c.role=sre.SemanticAttr.Role.IMPLICIT;b.forEach(function(a){a.parent=c});c.contentNodes=b;return c};
-sre.SemanticProcessor.prototype.infixNode_=function(a,b){a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.INFIXOP,a,[b],sre.SemanticProcessor.getEmbellishedInner_(b).textContent);a.role=b.role;return a};
-sre.SemanticProcessor.prototype.concatNode_=function(a,b,c){if(0===b.length)return a;var d=b.map(function(a){return sre.SemanticProcessor.getEmbellishedInner_(a).textContent}).join(" ");a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(c,[a],b,d);1<b.length&&(a.role=sre.SemanticAttr.Role.MULTIOP);return a};
-sre.SemanticProcessor.prototype.prefixNode_=function(a,b){b=sre.SemanticProcessor.partitionNodes_(b,sre.SemanticPred.isAttribute("role","SUBTRACTION"));for(a=sre.SemanticProcessor.getInstance().concatNode_(a,b.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);0<b.rel.length;)a=sre.SemanticProcessor.getInstance().concatNode_(a,[b.rel.pop()],sre.SemanticAttr.Type.PREFIXOP),a.role=sre.SemanticAttr.Role.NEGATIVE,a=sre.SemanticProcessor.getInstance().concatNode_(a,b.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);
-return a};sre.SemanticProcessor.prototype.postfixNode_=function(a,b){return b.length?sre.SemanticProcessor.getInstance().concatNode_(a,b,sre.SemanticAttr.Type.POSTFIXOP):a};sre.SemanticProcessor.prototype.text=function(a,b,c){a=sre.SemanticProcessor.getInstance().factory_.makeLeafNode(a,b);a.type=sre.SemanticAttr.Type.TEXT;"MS"===c&&(a.role=sre.SemanticAttr.Role.STRING);sre.SemanticProcessor.exprFont_(a);return a};
-sre.SemanticProcessor.prototype.row=function(a){a=a.filter(function(a){return!sre.SemanticPred.isAttribute("type","EMPTY")(a)});if(0===a.length)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();a=sre.SemanticProcessor.getInstance().getFencesInRow_(a);a=sre.SemanticProcessor.getInstance().tablesInRow(a);a=sre.SemanticProcessor.getInstance().getPunctuationInRow_(a);a=sre.SemanticProcessor.getInstance().getTextInRow_(a);a=sre.SemanticProcessor.getInstance().getFunctionsInRow_(a);return sre.SemanticProcessor.getInstance().relationsInRow_(a)};
-sre.SemanticProcessor.prototype.combineUnits_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,function(a){return!sre.SemanticPred.isAttribute("role","UNIT")(a)});if(a.length===b.rel.length)return b.rel;a=[];do{var c=b.comp.shift(),d=b.rel.shift();1===c.length&&(a=a.concat(c));if(1<c.length){var e=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.invisibleTimes());c=sre.SemanticProcessor.getInstance().infixNode_(c,e);c.role=sre.SemanticAttr.Role.UNIT;a.push(c)}d&&
-a.push(d)}while(d);return a};
-sre.SemanticProcessor.prototype.getMixedNumbers_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,function(a){return sre.SemanticPred.isAttribute("type","FRACTION")(a)&&sre.SemanticPred.isAttribute("role","VULGAR")(a)});if(!b.rel.length)return a;a=[];for(var c=0,d;d=b.rel[c];c++){var e=b.comp[c],f=e.length-1;e[f]&&sre.SemanticPred.isAttribute("type","NUMBER")(e[f])&&sre.SemanticPred.isAttribute("role","INTEGER")(e[f])?(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.NUMBER,[e[f],
+(a.type=sre.SemanticAttr.Type.IDENTIFIER);sre.SemanticProcessor.exprFont_(a);return a};sre.SemanticProcessor.prototype.implicitNode_=function(a){var b=sre.SemanticProcessor.getInstance().factory_.makeMultipleContentNodes(a.length-1,sre.SemanticAttr.invisibleTimes()),c=sre.SemanticProcessor.getInstance().infixNode_(a,b[0]);c.role=sre.SemanticAttr.Role.IMPLICIT;b.forEach(function(d){d.parent=c});c.contentNodes=b;return c};
+sre.SemanticProcessor.prototype.implicitNode=function(a){a=sre.SemanticProcessor.getInstance().getMixedNumbers_(a);a=sre.SemanticProcessor.getInstance().combineUnits_(a);return 1===a.length?a[0]:sre.SemanticProcessor.getInstance().implicitNode_(a)};
+sre.SemanticProcessor.prototype.infixNode_=function(a,b){a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.INFIXOP,a,[b],sre.SemanticProcessor.getEmbellishedInner_(b).textContent);a.role=b.role;this.propagateSimpleFunction(a);return a};
+sre.SemanticProcessor.prototype.concatNode_=function(a,b,c){if(0===b.length)return a;var d=b.map(function(e){return sre.SemanticProcessor.getEmbellishedInner_(e).textContent}).join(" ");a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(c,[a],b,d);1<b.length&&(a.role=sre.SemanticAttr.Role.MULTIOP);return a};
+sre.SemanticProcessor.prototype.prefixNode_=function(a,b){b=sre.SemanticProcessor.partitionNodes_(b,sre.SemanticPred.isAttribute("role","SUBTRACTION"));a=sre.SemanticProcessor.getInstance().concatNode_(a,b.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);1===a.contentNodes.length&&a.contentNodes[0].role===sre.SemanticAttr.Role.ADDITION&&"+"===a.contentNodes[0].textContent&&(a.role=sre.SemanticAttr.Role.POSITIVE);for(;0<b.rel.length;)a=sre.SemanticProcessor.getInstance().concatNode_(a,[b.rel.pop()],sre.SemanticAttr.Type.PREFIXOP),
+a.role=sre.SemanticAttr.Role.NEGATIVE,a=sre.SemanticProcessor.getInstance().concatNode_(a,b.comp.pop(),sre.SemanticAttr.Type.PREFIXOP);return a};sre.SemanticProcessor.prototype.postfixNode_=function(a,b){return b.length?sre.SemanticProcessor.getInstance().concatNode_(a,b,sre.SemanticAttr.Type.POSTFIXOP):a};
+sre.SemanticProcessor.prototype.text=function(a,b,c){if(!a)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();b=sre.SemanticProcessor.getInstance().factory_.makeLeafNode(a,b);b.updateContent(a,!0);b.type=sre.SemanticAttr.Type.TEXT;"MS"===c&&(b.role=sre.SemanticAttr.Role.STRING);sre.SemanticProcessor.exprFont_(b);return b};
+sre.SemanticProcessor.prototype.row=function(a){a=a.filter(function(b){return!sre.SemanticPred.isAttribute("type","EMPTY")(b)});if(0===a.length)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();a=sre.SemanticProcessor.getInstance().getFencesInRow_(a);a=sre.SemanticProcessor.getInstance().tablesInRow(a);a=sre.SemanticProcessor.getInstance().getPunctuationInRow_(a);a=sre.SemanticProcessor.getInstance().getTextInRow_(a);a=sre.SemanticProcessor.getInstance().getFunctionsInRow_(a);return sre.SemanticProcessor.getInstance().relationsInRow_(a)};
+sre.SemanticProcessor.prototype.combineUnits_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,function(g){return!sre.SemanticPred.isAttribute("role","UNIT")(g)});if(a.length===b.rel.length)return b.rel;a=[];do{var c=b.comp.shift(),d=b.rel.shift(),e=null,f=a.pop();f&&(c.length&&sre.SemanticPred.isUnitCounter(f)?c.unshift(f):a.push(f));1===c.length&&(e=c.pop());1<c.length&&(e=sre.SemanticProcessor.getInstance().implicitNode_(c),e.role=sre.SemanticAttr.Role.UNIT);e&&a.push(e);d&&a.push(d)}while(d);
+return a};
+sre.SemanticProcessor.prototype.getMixedNumbers_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,function(g){return sre.SemanticPred.isAttribute("type","FRACTION")(g)&&sre.SemanticPred.isAttribute("role","VULGAR")(g)});if(!b.rel.length)return a;a=[];for(var c=0,d;d=b.rel[c];c++){var e=b.comp[c],f=e.length-1;e[f]&&sre.SemanticPred.isAttribute("type","NUMBER")(e[f])&&sre.SemanticPred.isAttribute("role","INTEGER")(e[f])?(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.NUMBER,[e[f],
 d],[]),d.role=sre.SemanticAttr.Role.MIXED,a=a.concat(e.slice(0,f)),a.push(d)):(a=a.concat(e),a.push(d))}return a.concat(b.comp[b.comp.length-1])};
 sre.SemanticProcessor.prototype.getTextInRow_=function(a){if(1>=a.length)return a;var b=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isAttribute("type","TEXT"));if(0===b.rel.length)return a;a=[];var c=b.comp[0];0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));for(var d=0;c=b.rel[d];d++)a.push(c),c=b.comp[d+1],0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));return[sre.SemanticProcessor.getInstance().dummyNode_(a)]};
-sre.SemanticProcessor.prototype.relationsInRow_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isRelation),c=b.rel[0];if(!c)return sre.SemanticProcessor.getInstance().operationsInRow_(a);if(1===a.length)return a[0];a=b.comp.map(goog.bind(sre.SemanticProcessor.getInstance().operationsInRow_,this));if(b.rel.some(function(a){return!a.equals(c)}))return a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.MULTIREL,a,b.rel),b.rel.every(function(a){return a.role===
+sre.SemanticProcessor.prototype.relationsInRow_=function(a){var b=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isRelation),c=b.rel[0];if(!c)return sre.SemanticProcessor.getInstance().operationsInRow_(a);if(1===a.length)return a[0];a=b.comp.map(goog.bind(sre.SemanticProcessor.getInstance().operationsInRow_,this));if(b.rel.some(function(d){return!d.equals(c)}))return a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.MULTIREL,a,b.rel),b.rel.every(function(d){return d.role===
 c.role})&&(a.role=c.role),a;a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.RELSEQ,a,b.rel,sre.SemanticProcessor.getEmbellishedInner_(c).textContent);a.role=c.role;return a};
-sre.SemanticProcessor.prototype.operationsInRow_=function(a){if(0===a.length)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();if(1===a.length)return a[0];for(var b=[];0<a.length&&sre.SemanticPred.isOperator(a[0]);)b.push(a.shift());if(0===a.length)return sre.SemanticProcessor.getInstance().prefixNode_(b.pop(),b);if(1===a.length)return sre.SemanticProcessor.getInstance().prefixNode_(a[0],b);a=sre.SemanticProcessor.sliceNodes_(a,sre.SemanticPred.isOperator);b=sre.SemanticProcessor.getInstance().prefixNode_(sre.SemanticProcessor.getInstance().implicitNode_(a.head),
+sre.SemanticProcessor.prototype.operationsInRow_=function(a){if(0===a.length)return sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();if(1===a.length)return a[0];for(var b=[];0<a.length&&sre.SemanticPred.isOperator(a[0]);)b.push(a.shift());if(0===a.length)return sre.SemanticProcessor.getInstance().prefixNode_(b.pop(),b);if(1===a.length)return sre.SemanticProcessor.getInstance().prefixNode_(a[0],b);a=sre.SemanticProcessor.sliceNodes_(a,sre.SemanticPred.isOperator);b=sre.SemanticProcessor.getInstance().prefixNode_(sre.SemanticProcessor.getInstance().implicitNode(a.head),
 b);return a.div?sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,a.div):b};
-sre.SemanticProcessor.prototype.operationsTree_=function(a,b,c,d){d=d||[];if(0===a.length)return d.unshift(c),b.type===sre.SemanticAttr.Type.INFIXOP?(d=sre.SemanticProcessor.getInstance().postfixNode_(b.childNodes.pop(),d),b.appendChild(d),b):sre.SemanticProcessor.getInstance().postfixNode_(b,d);a=sre.SemanticProcessor.sliceNodes_(a,sre.SemanticPred.isOperator);if(0===a.head.length)return d.push(a.div),sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,c,d);d=sre.SemanticProcessor.getInstance().prefixNode_(sre.SemanticProcessor.getInstance().implicitNode_(a.head),
+sre.SemanticProcessor.prototype.operationsTree_=function(a,b,c,d){d=d||[];if(0===a.length)return d.unshift(c),b.type===sre.SemanticAttr.Type.INFIXOP?(d=sre.SemanticProcessor.getInstance().postfixNode_(b.childNodes.pop(),d),b.appendChild(d),b):sre.SemanticProcessor.getInstance().postfixNode_(b,d);a=sre.SemanticProcessor.sliceNodes_(a,sre.SemanticPred.isOperator);if(0===a.head.length)return d.push(a.div),sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,c,d);d=sre.SemanticProcessor.getInstance().prefixNode_(sre.SemanticProcessor.getInstance().implicitNode(a.head),
 d);b=sre.SemanticProcessor.getInstance().appendOperand_(b,c,d);return a.div?sre.SemanticProcessor.getInstance().operationsTree_(a.tail,b,a.div,[]):b};
-sre.SemanticProcessor.prototype.appendOperand_=function(a,b,c){return a.type!==sre.SemanticAttr.Type.INFIXOP?sre.SemanticProcessor.getInstance().infixNode_([a,c],b):sre.SemanticProcessor.getInstance().appendExistingOperator_(a,b,c)?a:b.role===sre.SemanticAttr.Role.MULTIPLICATION?sre.SemanticProcessor.getInstance().appendMultiplicativeOp_(a,b,c):sre.SemanticProcessor.getInstance().appendAdditiveOp_(a,b,c)};
-sre.SemanticProcessor.prototype.appendMultiplicativeOp_=function(a,b,c){if(a.role===sre.SemanticAttr.Role.IMPLICIT)return sre.SemanticProcessor.getInstance().infixNode_([a,c],b);for(var d=a,e=a.childNodes[a.childNodes.length-1];e&&e.type===sre.SemanticAttr.Type.INFIXOP;)d=e,e=d.childNodes[a.childNodes.length-1];b=sre.SemanticProcessor.getInstance().infixNode_([d.childNodes.pop(),c],b);d.appendChild(b);return a};
-sre.SemanticProcessor.prototype.appendAdditiveOp_=function(a,b,c){return sre.SemanticProcessor.getInstance().infixNode_([a,c],b)};sre.SemanticProcessor.prototype.appendExistingOperator_=function(a,b,c){return a&&a.type===sre.SemanticAttr.Type.INFIXOP&&a.role!==sre.SemanticAttr.Role.IMPLICIT?a.contentNodes[0].equals(b)?(a.appendContentNode(b),a.appendChild(c),!0):sre.SemanticProcessor.getInstance().appendExistingOperator_(a.childNodes[a.childNodes.length-1],b,c):!1};
+sre.SemanticProcessor.prototype.appendOperand_=function(a,b,c){if(a.type!==sre.SemanticAttr.Type.INFIXOP)return sre.SemanticProcessor.getInstance().infixNode_([a,c],b);var d=this.appendDivisionOp_(a,b,c);return d?d:sre.SemanticProcessor.getInstance().appendExistingOperator_(a,b,c)?a:b.role===sre.SemanticAttr.Role.MULTIPLICATION?sre.SemanticProcessor.getInstance().appendMultiplicativeOp_(a,b,c):sre.SemanticProcessor.getInstance().appendAdditiveOp_(a,b,c)};
+sre.SemanticProcessor.prototype.appendDivisionOp_=function(a,b,c){return b.role===sre.SemanticAttr.Role.DIVISION?sre.SemanticPred.isImplicit(a)?sre.SemanticProcessor.getInstance().infixNode_([a,c],b):this.appendLastOperand_(a,b,c):a.role===sre.SemanticAttr.Role.DIVISION?this.infixNode_([a,c],b):null};
+sre.SemanticProcessor.prototype.appendLastOperand_=function(a,b,c){for(var d=a,e=a.childNodes[a.childNodes.length-1];e&&e.type===sre.SemanticAttr.Type.INFIXOP&&!sre.SemanticPred.isImplicit(e);)d=e,e=d.childNodes[a.childNodes.length-1];b=sre.SemanticProcessor.getInstance().infixNode_([d.childNodes.pop(),c],b);d.appendChild(b);return a};
+sre.SemanticProcessor.prototype.appendMultiplicativeOp_=function(a,b,c){if(sre.SemanticPred.isImplicit(a))return sre.SemanticProcessor.getInstance().infixNode_([a,c],b);for(var d=a,e=a.childNodes[a.childNodes.length-1];e&&e.type===sre.SemanticAttr.Type.INFIXOP&&!sre.SemanticPred.isImplicit(e);)d=e,e=d.childNodes[a.childNodes.length-1];b=sre.SemanticProcessor.getInstance().infixNode_([d.childNodes.pop(),c],b);d.appendChild(b);return a};
+sre.SemanticProcessor.prototype.appendAdditiveOp_=function(a,b,c){return sre.SemanticProcessor.getInstance().infixNode_([a,c],b)};sre.SemanticProcessor.prototype.appendExistingOperator_=function(a,b,c){return!a||a.type!==sre.SemanticAttr.Type.INFIXOP||sre.SemanticPred.isImplicit(a)?!1:a.contentNodes[0].equals(b)?(a.appendContentNode(b),a.appendChild(c),!0):sre.SemanticProcessor.getInstance().appendExistingOperator_(a.childNodes[a.childNodes.length-1],b,c)};
 sre.SemanticProcessor.prototype.getFencesInRow_=function(a){a=sre.SemanticProcessor.partitionNodes_(a,sre.SemanticPred.isFence);a=sre.SemanticProcessor.purgeFences_(a);var b=a.comp.shift();return sre.SemanticProcessor.getInstance().fences_(a.rel,a.comp,[],[b])};
 sre.SemanticProcessor.prototype.fences_=function(a,b,c,d){if(0===a.length&&0===c.length)return d[0];var e=sre.SemanticPred.isAttribute("role","OPEN");if(0===a.length){for(a=d.shift();0<c.length;){if(e(c[0]))b=c.shift(),sre.SemanticProcessor.fenceToPunct_(b),a.push(b);else{c=sre.SemanticProcessor.sliceNodes_(c,e);var f=c.head.length-1,g=sre.SemanticProcessor.getInstance().neutralFences_(c.head,d.slice(0,f));d=d.slice(f);a.push.apply(a,g);c.div&&c.tail.unshift(c.div);c=c.tail}a.push.apply(a,d.shift())}return a}f=
 c[c.length-1];g=a[0].role;if(g===sre.SemanticAttr.Role.OPEN||g===sre.SemanticAttr.Role.NEUTRAL&&(!f||a[0].textContent!==f.textContent))return c.push(a.shift()),(e=b.shift())&&d.push(e),sre.SemanticProcessor.getInstance().fences_(a,b,c,d);if(f&&(g===sre.SemanticAttr.Role.CLOSE&&f.role===sre.SemanticAttr.Role.OPEN||g===sre.SemanticAttr.Role.NEUTRAL&&a[0].textContent===f.textContent))return e=sre.SemanticProcessor.getInstance().horizontalFencedNode_(c.pop(),a.shift(),d.pop()),d.push(d.pop().concat([e],
 b.shift())),sre.SemanticProcessor.getInstance().fences_(a,b,c,d);if(f&&g===sre.SemanticAttr.Role.CLOSE&&f.role===sre.SemanticAttr.Role.NEUTRAL&&c.some(e))return c=sre.SemanticProcessor.sliceNodes_(c,e,!0),e=d.pop(),f=d.length-c.tail.length+1,g=sre.SemanticProcessor.getInstance().neutralFences_(c.tail,d.slice(f)),d=d.slice(0,f),e=sre.SemanticProcessor.getInstance().horizontalFencedNode_(c.div,a.shift(),d.pop().concat(g,e)),d.push(d.pop().concat([e],b.shift())),sre.SemanticProcessor.getInstance().fences_(a,
 b,c.head,d);e=a.shift();sre.SemanticProcessor.fenceToPunct_(e);d.push(d.pop().concat([e],b.shift()));return sre.SemanticProcessor.getInstance().fences_(a,b,c,d)};
-sre.SemanticProcessor.prototype.neutralFences_=function(a,b){if(0===a.length)return a;if(1===a.length)return sre.SemanticProcessor.fenceToPunct_(a[0]),a;var c=a.shift(),d=sre.SemanticProcessor.sliceNodes_(a,function(a){return sre.SemanticProcessor.getEmbellishedInner_(a).textContent==sre.SemanticProcessor.getEmbellishedInner_(c).textContent});if(!d.div)return sre.SemanticProcessor.fenceToPunct_(c),d=b.shift(),d.unshift(c),d.concat(sre.SemanticProcessor.getInstance().neutralFences_(a,b));b=sre.SemanticProcessor.getInstance().combineFencedContent_(c,
+sre.SemanticProcessor.prototype.neutralFences_=function(a,b){if(0===a.length)return a;if(1===a.length)return sre.SemanticProcessor.fenceToPunct_(a[0]),a;var c=a.shift(),d=sre.SemanticProcessor.sliceNodes_(a,function(e){return sre.SemanticProcessor.getEmbellishedInner_(e).textContent==sre.SemanticProcessor.getEmbellishedInner_(c).textContent});if(!d.div)return sre.SemanticProcessor.fenceToPunct_(c),d=b.shift(),d.unshift(c),d.concat(sre.SemanticProcessor.getInstance().neutralFences_(a,b));b=sre.SemanticProcessor.getInstance().combineFencedContent_(c,
 d.div,d.head,b);return 0<d.tail.length?(a=b.shift(),d=sre.SemanticProcessor.getInstance().neutralFences_(d.tail,b),a.concat(d)):b[0]};
 sre.SemanticProcessor.prototype.combineFencedContent_=function(a,b,c,d){if(0===c.length)return a=sre.SemanticProcessor.getInstance().horizontalFencedNode_(a,b,d.shift()),0<d.length?d[0].unshift(a):d=[[a]],d;var e=d.shift(),f=c.length-1,g=d.slice(0,f);d=d.slice(f);f=d.shift();c=sre.SemanticProcessor.getInstance().neutralFences_(c,g);e.push.apply(e,c);e.push.apply(e,f);a=sre.SemanticProcessor.getInstance().horizontalFencedNode_(a,b,e);0<d.length?d[0].unshift(a):d=[[a]];return d};
 sre.SemanticProcessor.FENCE_TO_PUNCT_={};sre.SemanticProcessor.FENCE_TO_PUNCT_[sre.SemanticAttr.Role.NEUTRAL]=sre.SemanticAttr.Role.VBAR;sre.SemanticProcessor.FENCE_TO_PUNCT_[sre.SemanticAttr.Role.OPEN]=sre.SemanticAttr.Role.OPENFENCE;sre.SemanticProcessor.FENCE_TO_PUNCT_[sre.SemanticAttr.Role.CLOSE]=sre.SemanticAttr.Role.CLOSEFENCE;
 sre.SemanticProcessor.fenceToPunct_=function(a){var b=sre.SemanticProcessor.FENCE_TO_PUNCT_[a.role];if(b){for(;a.embellished;)a.embellished=sre.SemanticAttr.Type.PUNCTUATION,a.role=b,a=a.childNodes[0];a.type=sre.SemanticAttr.Type.PUNCTUATION;a.role=b}};
-sre.SemanticProcessor.prototype.horizontalFencedNode_=function(a,b,c){c=sre.SemanticProcessor.getInstance().row(c);b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.FENCED,[c],[a,b]);b.role=a.role===sre.SemanticAttr.Role.OPEN?sre.SemanticAttr.Role.LEFTRIGHT:a.role;return sre.SemanticProcessor.rewriteFencedNode_(b)};
-sre.SemanticProcessor.prototype.getPunctuationInRow_=function(a){if(1>=a.length)return a;var b=sre.SemanticProcessor.partitionNodes_(a,function(a){return sre.SemanticPred.isPunctuation(a)&&!sre.SemanticPred.isAttribute("role","ELLIPSIS")(a)});if(0===b.rel.length)return a;a=[];var c=b.comp.shift();0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));for(var d=0;0<b.comp.length;)a.push(b.rel[d++]),c=b.comp.shift(),0<c.length&&a.push(sre.SemanticProcessor.getInstance().row(c));return[sre.SemanticProcessor.getInstance().punctuatedNode_(a,
-b.rel)]};
-sre.SemanticProcessor.prototype.punctuatedNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.PUNCTUATED,a,b);if(b.length===a.length){var d=b[0].role;if(d!==sre.SemanticAttr.Role.UNKNOWN&&b.every(function(a){return a.role===d}))return c.role=d,c}sre.SemanticPred.singlePunctAtPosition(a,b,0)?c.role=sre.SemanticAttr.Role.STARTPUNCT:sre.SemanticPred.singlePunctAtPosition(a,b,a.length-1)?c.role=sre.SemanticAttr.Role.ENDPUNCT:b.every(sre.SemanticPred.isAttribute("role","DUMMY"))?
-c.role=sre.SemanticAttr.Role.TEXT:c.role=sre.SemanticAttr.Role.SEQUENCE;return c};sre.SemanticProcessor.prototype.dummyNode_=function(a){var b=sre.SemanticProcessor.getInstance().factory_.makeMultipleContentNodes(a.length-1,sre.SemanticAttr.invisibleComma());b.forEach(function(a){a.role=sre.SemanticAttr.Role.DUMMY});return sre.SemanticProcessor.getInstance().punctuatedNode_(a,b)};
+sre.SemanticProcessor.prototype.horizontalFencedNode_=function(a,b,c){c=sre.SemanticProcessor.getInstance().row(c);b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.FENCED,[c],[a,b]);a.role===sre.SemanticAttr.Role.OPEN?(this.classifyHorizontalFence_(b),this.propagateComposedFunction(b)):b.role=a.role;return sre.SemanticProcessor.rewriteFencedNode_(b)};
+sre.SemanticProcessor.prototype.classifyHorizontalFence_=function(a){a.role=sre.SemanticAttr.Role.LEFTRIGHT;var b=a.childNodes;if(sre.SemanticPred.isSetNode(a)&&!(1<b.length))if(0===b.length||b[0].type===sre.SemanticAttr.Type.EMPTY)a.role=sre.SemanticAttr.Role.SETEMPTY;else{var c=b[0].type;if(1===b.length&&sre.SemanticPred.isSingletonSetContent(b[0]))a.role=sre.SemanticAttr.Role.SETSINGLE;else{var d=b[0].role;c===sre.SemanticAttr.Type.PUNCTUATED&&d===sre.SemanticAttr.Role.SEQUENCE&&(b[0].contentNodes[0].role===
+sre.SemanticAttr.Role.COMMA?a.role=sre.SemanticAttr.Role.SETCOLLECT:1!==b[0].contentNodes.length||b[0].contentNodes[0].role!==sre.SemanticAttr.Role.VBAR&&b[0].contentNodes[0].role!==sre.SemanticAttr.Role.COLON||(a.role=sre.SemanticAttr.Role.SETEXT,this.setExtension_(a)))}}};
+sre.SemanticProcessor.prototype.setExtension_=function(a){(a=a.childNodes[0].childNodes[0])&&a.type===sre.SemanticAttr.Type.INFIXOP&&1===a.contentNodes.length&&a.contentNodes[0].role===sre.SemanticAttr.Role.UNKNOWN&&(a.contentNodes[0].role=sre.SemanticAttr.Role.SETEXT)};
+sre.SemanticProcessor.prototype.getPunctuationInRow_=function(a){if(1>=a.length)return a;var b=function(g){g=g.type;return"punctuation"===g||"text"===g||"operator"===g||"relation"===g},c=sre.SemanticProcessor.partitionNodes_(a,function(g){if(!sre.SemanticPred.isPunctuation(g))return!1;if(sre.SemanticPred.isPunctuation(g)&&!sre.SemanticPred.isAttribute("role","ELLIPSIS")(g))return!0;var h=a.indexOf(g);if(0===h)return a[1]&&b(a[1])?!1:!0;g=a[h-1];if(h===a.length-1)return b(g)?!1:!0;h=a[h+1];return b(g)&&
+b(h)?!1:!0});if(0===c.rel.length)return a;var d=[],e=c.comp.shift();0<e.length&&d.push(sre.SemanticProcessor.getInstance().row(e));for(var f=0;0<c.comp.length;)d.push(c.rel[f++]),e=c.comp.shift(),0<e.length&&d.push(sre.SemanticProcessor.getInstance().row(e));return[sre.SemanticProcessor.getInstance().punctuatedNode_(d,c.rel)]};
+sre.SemanticProcessor.prototype.punctuatedNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.PUNCTUATED,a,b);if(b.length===a.length){var d=b[0].role;if(d!==sre.SemanticAttr.Role.UNKNOWN&&b.every(function(e){return e.role===d}))return c.role=d,c}sre.SemanticPred.singlePunctAtPosition(a,b,0)?c.role=sre.SemanticAttr.Role.STARTPUNCT:sre.SemanticPred.singlePunctAtPosition(a,b,a.length-1)?c.role=sre.SemanticAttr.Role.ENDPUNCT:b.every(sre.SemanticPred.isAttribute("role",
+"DUMMY"))?c.role=sre.SemanticAttr.Role.TEXT:c.role=sre.SemanticAttr.Role.SEQUENCE;return c};sre.SemanticProcessor.prototype.dummyNode_=function(a){var b=sre.SemanticProcessor.getInstance().factory_.makeMultipleContentNodes(a.length-1,sre.SemanticAttr.invisibleComma());b.forEach(function(c){c.role=sre.SemanticAttr.Role.DUMMY});return sre.SemanticProcessor.getInstance().punctuatedNode_(a,b)};
 sre.SemanticProcessor.MML_TO_LIMIT_={MSUB:sre.SemanticAttr.Type.LIMLOWER,MUNDER:sre.SemanticAttr.Type.LIMLOWER,MSUP:sre.SemanticAttr.Type.LIMUPPER,MOVER:sre.SemanticAttr.Type.LIMUPPER,MSUBSUP:sre.SemanticAttr.Type.LIMBOTH,MUNDEROVER:sre.SemanticAttr.Type.LIMBOTH};
 sre.SemanticProcessor.prototype.limitNode=function(a,b){var c=b[0];if(sre.SemanticPred.isLimitBase(c))a=sre.SemanticProcessor.MML_TO_LIMIT_[a];else switch(a){case "MSUB":a=sre.SemanticAttr.Type.SUBSCRIPT;break;case "MSUP":a=sre.SemanticAttr.Type.SUPERSCRIPT;break;case "MSUBSUP":var d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.SUBSCRIPT,[c,b[1]],[]);d.role=sre.SemanticAttr.Role.SUBSUP;b=[d,b[2]];a=sre.SemanticAttr.Type.SUPERSCRIPT;break;case "MOVER":a=sre.SemanticAttr.Type.OVERSCORE;
 sre.SemanticPred.isAccent(b[1])&&(b[1].role=sre.SemanticAttr.Role.OVERACCENT);break;case "MUNDER":a=sre.SemanticAttr.Type.UNDERSCORE;sre.SemanticPred.isAccent(b[1])&&(b[1].role=sre.SemanticAttr.Role.UNDERACCENT);break;default:d=sre.SemanticPred.isAccent(b[1]),a=sre.SemanticPred.isAccent(b[2]),d&&(b[1].role=sre.SemanticAttr.Role.UNDERACCENT),a&&(b[2].role=sre.SemanticAttr.Role.OVERACCENT),a&&!d?(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.OVERSCORE,[c,b[2]],
 []),b=[d,b[1]],a=sre.SemanticAttr.Type.UNDERSCORE):(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.UNDERSCORE,[c,b[1]],[]),b=[d,b[2]],a=sre.SemanticAttr.Type.OVERSCORE),d.role=sre.SemanticAttr.Role.UNDEROVER}b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(a,b,[]);a=sre.SemanticPred.isEmbellished(c);d&&(d.embellished=a);b.embellished=a;b.role=c.role;return b};
 sre.SemanticProcessor.prototype.getFunctionsInRow_=function(a,b){b=b||[];if(0===a.length)return b;var c=a.shift(),d=sre.SemanticProcessor.classifyFunction_(c,a);if(!d)return b.push(c),sre.SemanticProcessor.getInstance().getFunctionsInRow_(a,b);a=sre.SemanticProcessor.getInstance().getFunctionsInRow_(a,[]);a=sre.SemanticProcessor.getInstance().getFunctionArgs_(c,a,d);return b.concat(a)};sre.SemanticProcessor.CLASSIFY_FUNCTION_={};
-sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.INTEGRAL]="integral";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.SUM]="bigop";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.PREFIXFUNC]="prefix";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.LIMFUNC]="prefix";
+sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.INTEGRAL]="integral";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.SUM]="bigop";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.PREFIXFUNC]="prefix";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.LIMFUNC]="prefix";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.SIMPLEFUNC]="prefix";sre.SemanticProcessor.CLASSIFY_FUNCTION_[sre.SemanticAttr.Role.COMPFUNC]="prefix";
 sre.SemanticProcessor.classifyFunction_=function(a,b){if(a.type===sre.SemanticAttr.Type.APPL||a.type===sre.SemanticAttr.Type.BIGOP||a.type===sre.SemanticAttr.Type.INTEGRAL)return"";if(b[0]&&b[0].textContent===sre.SemanticAttr.functionApplication()){b.shift();b=sre.SemanticAttr.Role.SIMPLEFUNC;if(a.role===sre.SemanticAttr.Role.PREFIXFUNC||a.role===sre.SemanticAttr.Role.LIMFUNC)b=a.role;sre.SemanticProcessor.propagateFunctionRole_(a,b);return"prefix"}return(b=sre.SemanticProcessor.CLASSIFY_FUNCTION_[a.role])?
 b:sre.SemanticPred.isSimpleFunctionHead(a)?"simple":""};sre.SemanticProcessor.propagateFunctionRole_=function(a,b){a&&(sre.SemanticPred.isAttribute("role","SUBSUP")(a)||(a.role=b),sre.SemanticProcessor.propagateFunctionRole_(a.childNodes[0],b))};
-sre.SemanticProcessor.prototype.getFunctionArgs_=function(a,b,c){switch(c){case "integral":b=sre.SemanticProcessor.getInstance().getIntegralArgs_(b);var d=sre.SemanticProcessor.getInstance().row(b.integrand);a=sre.SemanticProcessor.getInstance().integralNode_(a,d,b.intvar);b.rest.unshift(a);return b.rest;case "prefix":if(b[0]&&b[0].type===sre.SemanticAttr.Type.FENCED)return a=sre.SemanticProcessor.getInstance().functionNode_(a,b.shift()),b.unshift(a),b;case "bigop":d=sre.SemanticProcessor.sliceNodes_(b,
-sre.SemanticPred.isPrefixFunctionBoundary);if(!d.head.length)return b.unshift(a),b;b=sre.SemanticProcessor.getInstance().row(d.head);a="prefix"===c?sre.SemanticProcessor.getInstance().functionNode_(a,b):sre.SemanticProcessor.getInstance().bigOpNode_(a,b);d.div&&d.tail.unshift(d.div);d.tail.unshift(a);return d.tail;default:if(0===b.length)return[a];d=b[0];if(d.type===sre.SemanticAttr.Type.FENCED&&d.role!==sre.SemanticAttr.Role.NEUTRAL&&sre.SemanticPred.isSimpleFunction(d))return sre.SemanticProcessor.propagateFunctionRole_(a,
-sre.SemanticAttr.Role.SIMPLEFUNC),a=sre.SemanticProcessor.getInstance().functionNode_(a,b.shift()),b.unshift(a),b;b.unshift(a);return b}};
-sre.SemanticProcessor.prototype.getIntegralArgs_=function(a,b){b=b||[];if(0===a.length)return{integrand:b,intvar:null,rest:a};var c=a[0];if(sre.SemanticPred.isGeneralFunctionBoundary(c))return{integrand:b,intvar:null,rest:a};if(sre.SemanticPred.isIntegralDxBoundarySingle(c))return{integrand:b,intvar:c,rest:a.slice(1)};if(a[1]&&sre.SemanticPred.isIntegralDxBoundary(c,a[1])){var d=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.invisibleComma());c=sre.SemanticProcessor.getInstance().punctuatedNode_([c,
-d,a[1]],[d]);c.role=sre.SemanticAttr.Role.INTEGRAL;return{integrand:b,intvar:c,rest:a.slice(2)}}b.push(a.shift());return sre.SemanticProcessor.getInstance().getIntegralArgs_(a,b)};
-sre.SemanticProcessor.prototype.functionNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.functionApplication());c.type=sre.SemanticAttr.Type.PUNCTUATION;c.role=sre.SemanticAttr.Role.APPLICATION;var d=sre.SemanticProcessor.getFunctionOp_(a,function(a){return sre.SemanticPred.isAttribute("type","FUNCTION")(a)||sre.SemanticPred.isAttribute("type","IDENTIFIER")(a)&&sre.SemanticPred.isAttribute("role","SIMPLEFUNC")(a)});return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.APPL,
+sre.SemanticProcessor.prototype.getFunctionArgs_=function(a,b,c){switch(c){case "integral":b=sre.SemanticProcessor.getInstance().getIntegralArgs_(b);if(!b.intvar&&!b.integrand.length)return b.rest.unshift(a),b.rest;c=sre.SemanticProcessor.getInstance().row(b.integrand);a=sre.SemanticProcessor.getInstance().integralNode_(a,c,b.intvar);b.rest.unshift(a);return b.rest;case "prefix":if(b[0]&&b[0].type===sre.SemanticAttr.Type.FENCED){var d=b.shift();d.role!==sre.SemanticAttr.Role.NEUTRAL&&(d.role=sre.SemanticAttr.Role.LEFTRIGHT);
+a=sre.SemanticProcessor.getInstance().functionNode_(a,d);b.unshift(a);return b}c=sre.SemanticProcessor.sliceNodes_(b,sre.SemanticPred.isPrefixFunctionBoundary);if(c.head.length)d=sre.SemanticProcessor.getInstance().row(c.head),c.div&&c.tail.unshift(c.div);else{if(!c.div||!sre.SemanticPred.isAttribute("type","APPL")(c.div))return b.unshift(a),b;d=c.div}a=sre.SemanticProcessor.getInstance().functionNode_(a,d);c.tail.unshift(a);return c.tail;case "bigop":c=sre.SemanticProcessor.sliceNodes_(b,sre.SemanticPred.isBigOpBoundary);
+if(!c.head.length)return b.unshift(a),b;d=sre.SemanticProcessor.getInstance().row(c.head);a=sre.SemanticProcessor.getInstance().bigOpNode_(a,d);c.div&&c.tail.unshift(c.div);c.tail.unshift(a);return c.tail;default:if(0===b.length)return[a];c=b[0];if(c.type===sre.SemanticAttr.Type.FENCED&&c.role!==sre.SemanticAttr.Role.NEUTRAL&&sre.SemanticPred.isSimpleFunctionScope(c))return c.role=sre.SemanticAttr.Role.LEFTRIGHT,sre.SemanticProcessor.propagateFunctionRole_(a,sre.SemanticAttr.Role.SIMPLEFUNC),a=sre.SemanticProcessor.getInstance().functionNode_(a,
+b.shift()),b.unshift(a),b;b.unshift(a);return b}};
+sre.SemanticProcessor.prototype.getIntegralArgs_=function(a,b){b=b||[];if(0===a.length)return{integrand:b,intvar:null,rest:a};var c=a[0];if(sre.SemanticPred.isGeneralFunctionBoundary(c))return{integrand:b,intvar:null,rest:a};if(sre.SemanticPred.isIntegralDxBoundarySingle(c))return{integrand:b,intvar:c,rest:a.slice(1)};if(a[1]&&sre.SemanticPred.isIntegralDxBoundary(c,a[1]))return c=sre.SemanticProcessor.getInstance().prefixNode_(a[1],[c]),c.role=sre.SemanticAttr.Role.INTEGRAL,{integrand:b,intvar:c,
+rest:a.slice(2)};b.push(a.shift());return sre.SemanticProcessor.getInstance().getIntegralArgs_(a,b)};
+sre.SemanticProcessor.prototype.functionNode_=function(a,b){var c=sre.SemanticProcessor.getInstance().factory_.makeContentNode(sre.SemanticAttr.functionApplication());c.type=sre.SemanticAttr.Type.PUNCTUATION;c.role=sre.SemanticAttr.Role.APPLICATION;var d=sre.SemanticProcessor.getFunctionOp_(a,function(e){return sre.SemanticPred.isAttribute("type","FUNCTION")(e)||sre.SemanticPred.isAttribute("type","IDENTIFIER")(e)&&sre.SemanticPred.isAttribute("role","SIMPLEFUNC")(e)});return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.APPL,
 [a,b],d,[c])};sre.SemanticProcessor.prototype.bigOpNode_=function(a,b){var c=sre.SemanticProcessor.getFunctionOp_(a,sre.SemanticPred.isAttribute("type","LARGEOP"));return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.BIGOP,[a,b],c,[])};
 sre.SemanticProcessor.prototype.integralNode_=function(a,b,c){b=b||sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();c=c||sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();var d=sre.SemanticProcessor.getFunctionOp_(a,sre.SemanticPred.isAttribute("type","LARGEOP"));return sre.SemanticProcessor.getInstance().functionalNode_(sre.SemanticAttr.Type.INTEGRAL,[a,b,c],d,[])};
 sre.SemanticProcessor.prototype.functionalNode_=function(a,b,c,d){var e=b[0];if(c){var f=c.parent;d.push(c)}a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(a,b,d);a.role=e.role;f&&(c.parent=f);return a};sre.SemanticProcessor.getFunctionOp_=function(a,b){if(b(a))return a;for(var c=0,d;d=a.childNodes[c];c++)if(d=sre.SemanticProcessor.getFunctionOp_(d,b))return d;return null};
@@ -286,92 +337,201 @@ sre.SemanticProcessor.tableToVector_=function(a){var b=a.childNodes[0];b.type=sr
 sre.SemanticProcessor.tableToMatrix_=function(a){var b=a.childNodes[0];b.type=sre.SemanticAttr.Type.MATRIX;b.childNodes&&0<b.childNodes.length&&b.childNodes[0].childNodes&&b.childNodes.length===b.childNodes[0].childNodes.length?sre.SemanticProcessor.tableToSquare_(a):b.childNodes&&1===b.childNodes.length&&(b.role=sre.SemanticAttr.Role.ROWVECTOR)};
 sre.SemanticProcessor.tableToSquare_=function(a){var b=a.childNodes[0];sre.SemanticPred.isAttribute("role","NEUTRAL")(a)?b.role=sre.SemanticAttr.Role.DETERMINANT:b.role=sre.SemanticAttr.Role.SQUAREMATRIX};sre.SemanticProcessor.getComponentRoles_=function(a){var b=a.role;return b&&b!==sre.SemanticAttr.Role.UNKNOWN?b:sre.SemanticAttr.Role[a.type.toUpperCase()]||sre.SemanticAttr.Role.UNKNOWN};
 sre.SemanticProcessor.tableToCases_=function(a,b){for(var c=0,d;d=a.childNodes[c];c++)sre.SemanticProcessor.assignRoleToRow_(d,sre.SemanticAttr.Role.CASES);a.type=sre.SemanticAttr.Type.CASES;a.appendContentNode(b);sre.SemanticPred.tableIsMultiline(a)&&sre.SemanticProcessor.binomialForm_(a);return a};
-sre.SemanticProcessor.tableToMultiline=function(a){if(sre.SemanticPred.tableIsMultiline(a)){a.type=sre.SemanticAttr.Type.MULTILINE;for(var b=0,c;c=a.childNodes[b];b++)sre.SemanticProcessor.rowToLine_(c,sre.SemanticAttr.Role.MULTILINE);sre.SemanticProcessor.binomialForm_(a);sre.SemanticProcessor.classifyMultiline(a)}else sre.SemanticProcessor.classifyTable(a)};
-sre.SemanticProcessor.rowToLine_=function(a,b){b=b||sre.SemanticAttr.Role.UNKNOWN;sre.SemanticPred.isAttribute("type","ROW")(a)&&(a.type=sre.SemanticAttr.Type.LINE,a.role=b,1===a.childNodes.length&&sre.SemanticPred.isAttribute("type","CELL")(a.childNodes[0])&&(a.childNodes=a.childNodes[0].childNodes,a.childNodes.forEach(function(b){b.parent=a})))};
-sre.SemanticProcessor.assignRoleToRow_=function(a,b){if(sre.SemanticPred.isAttribute("type","LINE")(a))a.role=b;else if(sre.SemanticPred.isAttribute("type","ROW")(a)){a.role=b;var c=sre.SemanticPred.isAttribute("type","CELL");a.childNodes.forEach(function(a){c(a)&&(a.role=b)})}};
+sre.SemanticProcessor.tableToMultiline=function(a){if(sre.SemanticPred.tableIsMultiline(a)){a.type=sre.SemanticAttr.Type.MULTILINE;for(var b=0,c;c=a.childNodes[b];b++)sre.SemanticProcessor.rowToLine_(c,sre.SemanticAttr.Role.MULTILINE);1===a.childNodes.length&&sre.SemanticPred.isFencedElement(a.childNodes[0].childNodes[0])&&sre.SemanticProcessor.tableToMatrixOrVector_(sre.SemanticProcessor.rewriteFencedLine_(a));sre.SemanticProcessor.binomialForm_(a);sre.SemanticProcessor.classifyMultiline(a)}else sre.SemanticProcessor.classifyTable(a)};
+sre.SemanticProcessor.rewriteFencedLine_=function(a){var b=a.childNodes[0],c=a.childNodes[0].childNodes[0],d=a.childNodes[0].childNodes[0].childNodes[0];c.parent=a.parent;a.parent=c;d.parent=b;c.childNodes=[a];b.childNodes=[d];return c};
+sre.SemanticProcessor.rowToLine_=function(a,b){b=b||sre.SemanticAttr.Role.UNKNOWN;sre.SemanticPred.isAttribute("type","ROW")(a)&&(a.type=sre.SemanticAttr.Type.LINE,a.role=b,1===a.childNodes.length&&sre.SemanticPred.isAttribute("type","CELL")(a.childNodes[0])&&(a.childNodes=a.childNodes[0].childNodes,a.childNodes.forEach(function(c){c.parent=a})))};
+sre.SemanticProcessor.assignRoleToRow_=function(a,b){if(sre.SemanticPred.isAttribute("type","LINE")(a))a.role=b;else if(sre.SemanticPred.isAttribute("type","ROW")(a)){a.role=b;var c=sre.SemanticPred.isAttribute("type","CELL");a.childNodes.forEach(function(d){c(d)&&(d.role=b)})}};
 sre.SemanticProcessor.sliceNodes_=function(a,b,c){c&&a.reverse();for(var d=[],e=0,f;f=a[e];e++){if(b(f))return c?{head:a.slice(e+1).reverse(),div:f,tail:d.reverse()}:{head:d,div:f,tail:a.slice(e+1)};d.push(f)}return c?{head:[],div:null,tail:d.reverse()}:{head:d,div:null,tail:[]}};sre.SemanticProcessor.partitionNodes_=function(a,b){var c=[],d=[];do{var e=sre.SemanticProcessor.sliceNodes_(a,b);d.push(e.head);c.push(e.div);a=e.tail}while(e.div);c.pop();return{rel:c,comp:d}};
-sre.SemanticProcessor.prototype.mfenced=function(a,b,c,d){if(c&&0<d.length){var e=sre.MathUtil.nextSeparatorFunction(c),f=[d.shift()];d.forEach(goog.bind(function(a){f.push(sre.SemanticProcessor.getInstance().factory_.makeContentNode(e()));f.push(a)},this));d=f}if(a&&b)return sre.SemanticProcessor.getInstance().horizontalFencedNode_(sre.SemanticProcessor.getInstance().factory_.makeContentNode(a),sre.SemanticProcessor.getInstance().factory_.makeContentNode(b),d);a&&d.unshift(sre.SemanticProcessor.getInstance().factory_.makeContentNode(a));
-b&&d.push(sre.SemanticProcessor.getInstance().factory_.makeContentNode(b));return sre.SemanticProcessor.getInstance().row(d)};sre.SemanticProcessor.number=function(a){if(a.type===sre.SemanticAttr.Type.UNKNOWN||a.type===sre.SemanticAttr.Type.IDENTIFIER)a.type=sre.SemanticAttr.Type.NUMBER;sre.SemanticProcessor.numberRole_(a);sre.SemanticProcessor.exprFont_(a)};
-sre.SemanticProcessor.numberRole_=function(a){if(a.role===sre.SemanticAttr.Role.UNKNOWN){var b=sre.SemanticUtil.splitUnicode(a.textContent).map(sre.SemanticAttr.lookupMeaning);b.every(function(a){return a.type===sre.SemanticAttr.Type.NUMBER&&a.role===sre.SemanticAttr.Role.INTEGER||a.type===sre.SemanticAttr.Type.PUNCTUATION&&a.role===sre.SemanticAttr.Role.COMMA})?a.role=sre.SemanticAttr.Role.INTEGER:b.every(function(a){return a.type===sre.SemanticAttr.Type.NUMBER&&a.role===sre.SemanticAttr.Role.INTEGER||
-a.type===sre.SemanticAttr.Type.PUNCTUATION})?a.role=sre.SemanticAttr.Role.FLOAT:a.role=sre.SemanticAttr.Role.OTHERNUMBER}};sre.SemanticProcessor.exprFont_=function(a){if(a.font===sre.SemanticAttr.Font.UNKNOWN){var b=sre.SemanticUtil.splitUnicode(a.textContent).map(sre.SemanticAttr.lookupMeaning).reduce(function(a,b){return a&&b.font&&b.font!==sre.SemanticAttr.Font.UNKNOWN&&b.font!==a?a===sre.SemanticAttr.Font.UNKNOWN?b.font:null:a},sre.SemanticAttr.Font.UNKNOWN);b&&(a.font=b)}};
-sre.SemanticProcessor.prototype.fractionLikeNode=function(a,b,c){return sre.SemanticUtil.isZeroLength(a)?(a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.LINE,[b],[]),c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.LINE,[c],[]),c=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.MULTILINE,[a,c],[]),sre.SemanticProcessor.binomialForm_(c),sre.SemanticProcessor.classifyMultiline(c),c):sre.SemanticProcessor.getInstance().fractionNode_(b,
-c)};sre.SemanticProcessor.prototype.fractionNode_=function(a,b){a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.FRACTION,[a,b],[]);a.role=a.childNodes.every(function(a){return sre.SemanticPred.isAttribute("role","INTEGER")(a)})?sre.SemanticAttr.Role.VULGAR:a.childNodes.every(function(a){return sre.SemanticPred.isAttribute("role","UNIT")(a)})?sre.SemanticAttr.Role.UNIT:sre.SemanticAttr.Role.DIVISION;return a};
+sre.SemanticProcessor.prototype.mfenced=function(a,b,c,d){if(c&&0<d.length){var e=sre.SemanticProcessor.nextSeparatorFunction_(c),f=[d.shift()];d.forEach(goog.bind(function(g){f.push(sre.SemanticProcessor.getInstance().factory_.makeContentNode(e()));f.push(g)},this));d=f}if(a&&b)return sre.SemanticProcessor.getInstance().horizontalFencedNode_(sre.SemanticProcessor.getInstance().factory_.makeContentNode(a),sre.SemanticProcessor.getInstance().factory_.makeContentNode(b),d);a&&d.unshift(sre.SemanticProcessor.getInstance().factory_.makeContentNode(a));
+b&&d.push(sre.SemanticProcessor.getInstance().factory_.makeContentNode(b));return sre.SemanticProcessor.getInstance().row(d)};sre.SemanticProcessor.nextSeparatorFunction_=function(a){if(a){if(a.match(/^\s+$/))return null;var b=a.replace(/\s/g,"").split("").filter(function(c){return c})}else b=[","];return function(){return 1<b.length?b.shift():b[0]}};
+sre.SemanticProcessor.number=function(a){if(a.type===sre.SemanticAttr.Type.UNKNOWN||a.type===sre.SemanticAttr.Type.IDENTIFIER)a.type=sre.SemanticAttr.Type.NUMBER;sre.SemanticProcessor.numberRole_(a);sre.SemanticProcessor.exprFont_(a)};
+sre.SemanticProcessor.numberRole_=function(a){if(a.role===sre.SemanticAttr.Role.UNKNOWN){var b=sre.SemanticUtil.splitUnicode(a.textContent).map(sre.SemanticAttr.lookupMeaning);b.every(function(c){return c.type===sre.SemanticAttr.Type.NUMBER&&c.role===sre.SemanticAttr.Role.INTEGER||c.type===sre.SemanticAttr.Type.PUNCTUATION&&c.role===sre.SemanticAttr.Role.COMMA})?a.role=sre.SemanticAttr.Role.INTEGER:b.every(function(c){return c.type===sre.SemanticAttr.Type.NUMBER&&c.role===sre.SemanticAttr.Role.INTEGER||
+c.type===sre.SemanticAttr.Type.PUNCTUATION})?a.role=sre.SemanticAttr.Role.FLOAT:a.role=sre.SemanticAttr.Role.OTHERNUMBER}};sre.SemanticProcessor.exprFont_=function(a){if(a.font===sre.SemanticAttr.Font.UNKNOWN){var b=sre.SemanticUtil.splitUnicode(a.textContent).map(sre.SemanticAttr.lookupMeaning).reduce(function(c,d){return c&&d.font&&d.font!==sre.SemanticAttr.Font.UNKNOWN&&d.font!==c?c===sre.SemanticAttr.Font.UNKNOWN?d.font:null:c},sre.SemanticAttr.Font.UNKNOWN);b&&(a.font=b)}};
+sre.SemanticProcessor.prototype.fractionLikeNode=function(a,b,c,d){!d&&sre.SemanticUtil.isZeroLength(c)?(d=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.LINE,[a],[]),b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.LINE,[b],[]),b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.MULTILINE,[d,b],[]),sre.SemanticProcessor.binomialForm_(b),sre.SemanticProcessor.classifyMultiline(b)):(b=sre.SemanticProcessor.getInstance().fractionNode_(a,
+b),d&&b.addAnnotation("general","bevelled"));return b};
+sre.SemanticProcessor.prototype.fractionNode_=function(a,b){a=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.FRACTION,[a,b],[]);a.role=a.childNodes.every(function(c){return sre.SemanticPred.isAttribute("type","NUMBER")(c)&&sre.SemanticPred.isAttribute("role","INTEGER")(c)})?sre.SemanticAttr.Role.VULGAR:a.childNodes.every(sre.SemanticPred.isPureUnit)?sre.SemanticAttr.Role.UNIT:sre.SemanticAttr.Role.DIVISION;this.propagateSimpleFunction(a);return a};
 sre.SemanticProcessor.prototype.tensor=function(a,b,c,d,e){b=sre.SemanticProcessor.getInstance().factory_.makeBranchNode(sre.SemanticAttr.Type.TENSOR,[a,sre.SemanticProcessor.getInstance().scriptNode_(b,sre.SemanticAttr.Role.LEFTSUB),sre.SemanticProcessor.getInstance().scriptNode_(c,sre.SemanticAttr.Role.LEFTSUPER),sre.SemanticProcessor.getInstance().scriptNode_(d,sre.SemanticAttr.Role.RIGHTSUB),sre.SemanticProcessor.getInstance().scriptNode_(e,sre.SemanticAttr.Role.RIGHTSUPER)],[]);b.role=a.role;
 b.embellished=sre.SemanticPred.isEmbellished(a);return b};
-sre.SemanticProcessor.prototype.pseudoTensor=function(a,b,c){var d=function(a){return!sre.SemanticPred.isAttribute("type","EMPTY")(a)},e=b.filter(d).length;d=c.filter(d).length;if(!e&&!d)return a;var f=e?d?"MSUBSUP":"MSUB":"MSUP";a=[a];e&&a.push(sre.SemanticProcessor.getInstance().scriptNode_(b,sre.SemanticAttr.Role.RIGHTSUB,!0));d&&a.push(sre.SemanticProcessor.getInstance().scriptNode_(c,sre.SemanticAttr.Role.RIGHTSUPER,!0));return sre.SemanticProcessor.getInstance().limitNode(f,a)};
+sre.SemanticProcessor.prototype.pseudoTensor=function(a,b,c){var d=function(g){return!sre.SemanticPred.isAttribute("type","EMPTY")(g)},e=b.filter(d).length;d=c.filter(d).length;if(!e&&!d)return a;var f=e?d?"MSUBSUP":"MSUB":"MSUP";a=[a];e&&a.push(sre.SemanticProcessor.getInstance().scriptNode_(b,sre.SemanticAttr.Role.RIGHTSUB,!0));d&&a.push(sre.SemanticProcessor.getInstance().scriptNode_(c,sre.SemanticAttr.Role.RIGHTSUPER,!0));return sre.SemanticProcessor.getInstance().limitNode(f,a)};
 sre.SemanticProcessor.prototype.scriptNode_=function(a,b,c){switch(a.length){case 0:a=sre.SemanticProcessor.getInstance().factory_.makeEmptyNode();break;case 1:a=a[0];if(c)return a;break;default:a=sre.SemanticProcessor.getInstance().dummyNode_(a)}a.role=b;return a};sre.SemanticProcessor.getEmbellishedInner_=function(a){return a&&a.embellished&&0<a.childNodes.length?sre.SemanticProcessor.getEmbellishedInner_(a.childNodes[0]):a};
 sre.SemanticProcessor.purgeFences_=function(a){var b=a.rel;a=a.comp;for(var c=[],d=[];0<b.length;){var e=b.shift(),f=a.shift();sre.SemanticPred.isElligibleEmbellishedFence(e)?(c.push(e),d.push(f)):(sre.SemanticProcessor.fenceToPunct_(e),f.push(e),f=f.concat(a.shift()),a.unshift(f))}d.push(a.shift());return{rel:c,comp:d}};
 sre.SemanticProcessor.rewriteFencedNode_=function(a){var b=a.contentNodes[1],c=sre.SemanticProcessor.rewriteFence_(a,a.contentNodes[0]);a.contentNodes[0]=c.fence;c=sre.SemanticProcessor.rewriteFence_(c.node,b);a.contentNodes[1]=c.fence;a.contentNodes[0].parent=a;a.contentNodes[1].parent=a;c.node.parent=null;return c.node};
 sre.SemanticProcessor.rewriteFence_=function(a,b){if(!b.embellished)return{node:a,fence:b};var c=b.childNodes[0],d=sre.SemanticProcessor.rewriteFence_(a,c);if(sre.SemanticPred.isAttribute("type","SUPERSCRIPT")(b)||sre.SemanticPred.isAttribute("type","SUBSCRIPT")(b)||sre.SemanticPred.isAttribute("type","TENSOR")(b))return sre.SemanticPred.isAttribute("role","SUBSUP")(b)||(b.role=a.role),c!==d.node&&(b.replaceChild(c,d.node),c.parent=a),sre.SemanticProcessor.propagateFencePointer_(b,c),{node:b,fence:d.fence};
 b.replaceChild(c,d.fence);b.mathmlTree&&-1===b.mathml.indexOf(b.mathmlTree)&&b.mathml.push(b.mathmlTree);return{node:d.node,fence:b}};sre.SemanticProcessor.propagateFencePointer_=function(a,b){a.fencePointer=b.fencePointer||b.id.toString();a.embellished=null};
-sre.SemanticProcessor.classifyMultiline=function(a){for(var b=0,c=a.childNodes.length,d;b<c&&(!(d=a.childNodes[b])||!d.childNodes.length);)b++;if(!(b>=c)){var e=d.childNodes[0].role;e!==sre.SemanticAttr.Role.UNKNOWN&&a.childNodes.every(function(a){a=a.childNodes[0];return!a||a.role===e&&(sre.SemanticPred.isAttribute("type","RELATION")(a)||sre.SemanticPred.isAttribute("type","RELSEQ")(a))})&&(a.role=e)}};
+sre.SemanticProcessor.classifyMultiline=function(a){for(var b=0,c=a.childNodes.length,d;b<c&&(!(d=a.childNodes[b])||!d.childNodes.length);)b++;if(!(b>=c)){var e=d.childNodes[0].role;e!==sre.SemanticAttr.Role.UNKNOWN&&a.childNodes.every(function(f){f=f.childNodes[0];return!f||f.role===e&&(sre.SemanticPred.isAttribute("type","RELATION")(f)||sre.SemanticPred.isAttribute("type","RELSEQ")(f))})&&(a.role=e)}};
 sre.SemanticProcessor.classifyTable=function(a){var b=sre.SemanticProcessor.computeColumns_(a);sre.SemanticProcessor.classifyByColumns_(a,b,"EQUALITY")||sre.SemanticProcessor.classifyByColumns_(a,b,"INEQUALITY",["EQUALITY"])||sre.SemanticProcessor.classifyByColumns_(a,b,"ARROW")};
-sre.SemanticProcessor.classifyByColumns_=function(a,b,c,d){d=function(a){return sre.SemanticProcessor.isPureRelation_(a,c)};var e=function(a){return sre.SemanticProcessor.isEndRelation_(a,c)||sre.SemanticProcessor.isPureRelation_(a,c)},f=function(a){return sre.SemanticProcessor.isEndRelation_(a,c,!0)||sre.SemanticProcessor.isPureRelation_(a,c)};return 3===b.length&&sre.SemanticProcessor.testColumns_(b,1,d)||2===b.length&&(sre.SemanticProcessor.testColumns_(b,1,e)||sre.SemanticProcessor.testColumns_(b,
+sre.SemanticProcessor.classifyByColumns_=function(a,b,c,d){d=function(g){return sre.SemanticProcessor.isPureRelation_(g,c)};var e=function(g){return sre.SemanticProcessor.isEndRelation_(g,c)||sre.SemanticProcessor.isPureRelation_(g,c)},f=function(g){return sre.SemanticProcessor.isEndRelation_(g,c,!0)||sre.SemanticProcessor.isPureRelation_(g,c)};return 3===b.length&&sre.SemanticProcessor.testColumns_(b,1,d)||2===b.length&&(sre.SemanticProcessor.testColumns_(b,1,e)||sre.SemanticProcessor.testColumns_(b,
 0,f))?(a.role=sre.SemanticAttr.Role[c],!0):!1};sre.SemanticProcessor.isEndRelation_=function(a,b,c){c=c?a.childNodes.length-1:0;return sre.SemanticPred.isAttribute("type","RELSEQ")(a)&&sre.SemanticPred.isAttribute("role",b)(a)&&sre.SemanticPred.isAttribute("type","EMPTY")(a.childNodes[c])};sre.SemanticProcessor.isPureRelation_=function(a,b){return sre.SemanticPred.isAttribute("type","RELATION")(a)&&sre.SemanticPred.isAttribute("role",b)(a)};
-sre.SemanticProcessor.computeColumns_=function(a){for(var b=[],c=0,d;d=a.childNodes[c];c++)for(var e=0,f;f=d.childNodes[e];e++)b[e]?b[e].push(f):b[e]=[f];return b};sre.SemanticProcessor.testColumns_=function(a,b,c){return(a=a[b])?a.some(function(a){return a.childNodes.length&&c(a.childNodes[0])})&&a.every(function(a){return!a.childNodes.length||c(a.childNodes[0])}):!1};
-sre.SemanticProcessor.MATHJAX_FONTS={"-tex-caligraphic":sre.SemanticAttr.Font.CALIGRAPHIC,"-tex-caligraphic-bold":sre.SemanticAttr.Font.CALIGRAPHICBOLD,"-tex-oldstyle":sre.SemanticAttr.Font.OLDSTYLE,"-tex-oldstyle-bold":sre.SemanticAttr.Font.OLDSTYLEBOLD,"-tex-mathit":sre.SemanticAttr.Font.ITALIC};sre.SemanticProcessor.prototype.font=function(a){var b=sre.SemanticProcessor.MATHJAX_FONTS[a];return b?b:a};sre.SemanticMathml=function(){sre.SemanticAbstractParser.call(this,"MathML");this.parseMap_={SEMANTICS:goog.bind(this.semantics_,this),MATH:goog.bind(this.rows_,this),MROW:goog.bind(this.rows_,this),MPADDED:goog.bind(this.rows_,this),MSTYLE:goog.bind(this.rows_,this),MFRAC:goog.bind(this.fraction_,this),MSUB:goog.bind(this.limits_,this),MSUP:goog.bind(this.limits_,this),MSUBSUP:goog.bind(this.limits_,this),MOVER:goog.bind(this.limits_,this),MUNDER:goog.bind(this.limits_,this),MUNDEROVER:goog.bind(this.limits_,
+sre.SemanticProcessor.computeColumns_=function(a){for(var b=[],c=0,d;d=a.childNodes[c];c++)for(var e=0,f;f=d.childNodes[e];e++)b[e]?b[e].push(f):b[e]=[f];return b};sre.SemanticProcessor.testColumns_=function(a,b,c){return(a=a[b])?a.some(function(d){return d.childNodes.length&&c(d.childNodes[0])})&&a.every(function(d){return!d.childNodes.length||c(d.childNodes[0])}):!1};
+sre.SemanticProcessor.MATHJAX_FONTS={"-tex-caligraphic":sre.SemanticAttr.Font.CALIGRAPHIC,"-tex-caligraphic-bold":sre.SemanticAttr.Font.CALIGRAPHICBOLD,"-tex-calligraphic":sre.SemanticAttr.Font.CALIGRAPHIC,"-tex-calligraphic-bold":sre.SemanticAttr.Font.CALIGRAPHICBOLD,"-tex-oldstyle":sre.SemanticAttr.Font.OLDSTYLE,"-tex-oldstyle-bold":sre.SemanticAttr.Font.OLDSTYLEBOLD,"-tex-mathit":sre.SemanticAttr.Font.ITALIC};
+sre.SemanticProcessor.prototype.font=function(a){var b=sre.SemanticProcessor.MATHJAX_FONTS[a];return b?b:a};sre.SemanticProcessor.prototype.propagateSimpleFunction=function(a){"clearspeak"!==sre.Engine.getInstance().domain||a.type!==sre.SemanticAttr.Type.INFIXOP&&a.type!==sre.SemanticAttr.Type.FRACTION||!a.childNodes.every(sre.SemanticPred.isSimpleFunction)||(a.role=sre.SemanticAttr.Role.COMPFUNC)};
+sre.SemanticProcessor.prototype.propagateComposedFunction=function(a){"clearspeak"===sre.Engine.getInstance().domain&&a.type===sre.SemanticAttr.Type.FENCED&&a.childNodes[0].role===sre.SemanticAttr.Role.COMPFUNC&&(a.role=sre.SemanticAttr.Role.COMPFUNC)};sre.SemanticProcessor.proof=function(a,b,c){b=sre.SemanticProcessor.separateSemantics(b);return sre.SemanticProcessor.getInstance().proof(a,b,c)};
+sre.SemanticProcessor.prototype.proof=function(a,b,c){b.inference||b.axiom||console.log("Noise");if(b.axiom)return b=this.cleanInference(a.childNodes),b=b.length?this.factory_.makeBranchNode(sre.SemanticAttr.Type.INFERENCE,c(b),[]):this.factory_.makeEmptyNode(),b.role=sre.SemanticAttr.Role.AXIOM,b.mathmlTree=a,b;a=this.inference(a,b,c);b.proof&&(a.role=sre.SemanticAttr.Role.PROOF,a.childNodes[0].role=sre.SemanticAttr.Role.FINAL);return a};
+sre.SemanticProcessor.prototype.inference=function(a,b,c){if(b.inferenceRule)return c=this.getFormulas(a,[],c),c=this.factory_.makeBranchNode(sre.SemanticAttr.Type.INFERENCE,[c.conclusion,c.premises],[]);var d=b.labelledRule,e=sre.DomUtil.toArray(a.childNodes);b=[];"left"!==d&&"both"!==d||b.push(this.getLabel(a,e,c,sre.SemanticAttr.Role.LEFT));"right"!==d&&"both"!==d||b.push(this.getLabel(a,e,c,sre.SemanticAttr.Role.RIGHT));c=this.getFormulas(a,e,c);c=this.factory_.makeBranchNode(sre.SemanticAttr.Type.INFERENCE,
+[c.conclusion,c.premises],b);c.mathmlTree=a;return c};sre.SemanticProcessor.prototype.getLabel=function(a,b,c,d){a=this.findNestedRow(b,"prooflabel",d);c=this.factory_.makeBranchNode(sre.SemanticAttr.Type.RULELABEL,c(sre.DomUtil.toArray(a.childNodes)),[]);c.role=d;c.mathmlTree=a;return c};
+sre.SemanticProcessor.prototype.getFormulas=function(a,b,c){b=b.length?this.findNestedRow(b,"inferenceRule"):a;var d="up"===sre.SemanticProcessor.getSemantics(b).inferenceRule;a=d?b.childNodes[0]:b.childNodes[1];b=(d?b.childNodes[1]:b.childNodes[0]).childNodes[0].childNodes[0];var e=sre.DomUtil.toArray(b.childNodes[0].childNodes);d=[];var f=1;e=$jscomp.makeIterator(e);for(var g=e.next();!g.done;g=e.next())g=g.value,f%2&&d.push(g.childNodes[0]),f++;d=c(d);c=c(sre.DomUtil.toArray(a.childNodes[0].childNodes))[0];
+d=this.factory_.makeBranchNode(sre.SemanticAttr.Type.PREMISES,d,[]);d.mathmlTree=b;c=this.factory_.makeBranchNode(sre.SemanticAttr.Type.CONCLUSION,[c],[]);c.mathmlTree=a.childNodes[0].childNodes[0];return{conclusion:c,premises:d}};sre.SemanticProcessor.prototype.findNestedRow=function(a,b,c){return this.findNestedRow_(a,b,0,c)};
+sre.SemanticProcessor.prototype.findNestedRow_=function(a,b,c,d){if(3<c)return null;for(var e=0,f;f=a[e];e++){var g=sre.DomUtil.tagName(f);if("MSPACE"!==g){if("MROW"===g)return this.findNestedRow_(sre.DomUtil.toArray(f.childNodes),b,c+1,d);if(sre.SemanticProcessor.findSemantics(f,b,d))return f}}return null};sre.SemanticProcessor.prototype.cleanInference=function(a){return sre.DomUtil.toArray(a).filter(function(b){return"MSPACE"!==sre.DomUtil.tagName(b)})};
+sre.SemanticProcessor.findSemantics=function(a,b,c){c=null==c?null:c;return(a=sre.SemanticProcessor.getSemantics(a))&&a[b]?null==c?!0:a[b]===c:!1};sre.SemanticProcessor.getSemantics=function(a){return(a=a.getAttribute("semantics"))?sre.SemanticProcessor.separateSemantics(a):null};sre.SemanticProcessor.removePrefix=function(a){a=$jscomp.makeIterator(a.split("_"));a.next();return $jscomp.arrayFromIterator(a).join("_")};
+sre.SemanticProcessor.separateSemantics=function(a){var b={};a.split(";").forEach(function(c){var d=$jscomp.makeIterator(c.split(":"));c=d.next().value;d=d.next().value;b[sre.SemanticProcessor.removePrefix(c)]=d});return b};sre.SemanticMathml=function(){sre.SemanticAbstractParser.call(this,"MathML");this.parseMap_={SEMANTICS:goog.bind(this.semantics_,this),MATH:goog.bind(this.rows_,this),MROW:goog.bind(this.rows_,this),MPADDED:goog.bind(this.rows_,this),MSTYLE:goog.bind(this.rows_,this),MFRAC:goog.bind(this.fraction_,this),MSUB:goog.bind(this.limits_,this),MSUP:goog.bind(this.limits_,this),MSUBSUP:goog.bind(this.limits_,this),MOVER:goog.bind(this.limits_,this),MUNDER:goog.bind(this.limits_,this),MUNDEROVER:goog.bind(this.limits_,
 this),MROOT:goog.bind(this.root_,this),MSQRT:goog.bind(this.sqrt_,this),MTABLE:goog.bind(this.table_,this),MLABELEDTR:goog.bind(this.tableLabeledRow_,this),MTR:goog.bind(this.tableRow_,this),MTD:goog.bind(this.tableCell_,this),MS:goog.bind(this.text_,this),MTEXT:goog.bind(this.text_,this),"ANNOTATION-XML":goog.bind(this.text_,this),MI:goog.bind(this.identifier_,this),MN:goog.bind(this.number_,this),MO:goog.bind(this.operator_,this),MFENCED:goog.bind(this.fenced_,this),MENCLOSE:goog.bind(this.enclosed_,
 this),MMULTISCRIPTS:goog.bind(this.multiscripts_,this),ANNOTATION:goog.bind(this.empty_,this),NONE:goog.bind(this.empty_,this),MACTION:goog.bind(this.action_,this)}};goog.inherits(sre.SemanticMathml,sre.SemanticAbstractParser);
-sre.SemanticMathml.prototype.parse=function(a){sre.SemanticProcessor.getInstance().setNodeFactory(this.getFactory());var b=sre.DomUtil.toArray(a.childNodes),c=sre.DomUtil.tagName(a),d=this.parseMap_[c];b=(d?d:goog.bind(this.dummy_,this))(a,b);if(-1!==["MATH","MROW","MPADDED","MSTYLE","SEMANTICS"].indexOf(c))return b;b.mathml.unshift(a);b.mathmlTree=a;return b};sre.SemanticMathml.prototype.parseNodes_=function(a){for(var b=[],c=0,d;d=a[c];c++)b.push(this.parse(d));return b};
-sre.SemanticMathml.prototype.semantics_=function(a,b){return b.length?this.parse(b[0]):this.getFactory().makeEmptyNode()};sre.SemanticMathml.prototype.rows_=function(a,b){b=sre.SemanticUtil.purgeNodes(b);b=1===b.length?this.parse(b[0]):sre.SemanticProcessor.getInstance().row(this.parseNodes_(b));b.mathml.unshift(a);return b};sre.SemanticMathml.prototype.fraction_=function(a,b){return sre.SemanticProcessor.getInstance().fractionLikeNode(a.getAttribute("linethickness"),this.parse(b[0]),this.parse(b[1]))};
-sre.SemanticMathml.prototype.limits_=function(a,b){return sre.SemanticProcessor.getInstance().limitNode(sre.DomUtil.tagName(a),this.parseNodes_(b))};sre.SemanticMathml.prototype.root_=function(a,b){return this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROOT,[this.parse(b[1]),this.parse(b[0])],[])};
-sre.SemanticMathml.prototype.sqrt_=function(a,b){a=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));return this.getFactory().makeBranchNode(sre.SemanticAttr.Type.SQRT,[sre.SemanticProcessor.getInstance().row(a)],[])};sre.SemanticMathml.prototype.table_=function(a,b){a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.TABLE,this.parseNodes_(b),[]);sre.SemanticProcessor.tableToMultiline(a);return a};
-sre.SemanticMathml.prototype.tableRow_=function(a,b){a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROW,this.parseNodes_(b),[]);a.role=sre.SemanticAttr.Role.TABLE;return a};sre.SemanticMathml.prototype.tableLabeledRow_=function(a,b){if(!b.length)return this.tableRow_(a,b);a=this.parse(b[0]);a.role=sre.SemanticAttr.Role.LABEL;b=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROW,this.parseNodes_(b.slice(1)),[a]);b.role=sre.SemanticAttr.Role.TABLE;return b};
-sre.SemanticMathml.prototype.tableCell_=function(a,b){a=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));a=a.length?1===a.length&&sre.SemanticPred.isAttribute("type","EMPTY")(a[0])?a:[sre.SemanticProcessor.getInstance().row(a)]:[];a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.CELL,a,[]);a.role=sre.SemanticAttr.Role.TABLE;return a};
-sre.SemanticMathml.prototype.text_=function(a,b){return sre.SemanticProcessor.getInstance().text(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")),sre.DomUtil.tagName(a))};sre.SemanticMathml.prototype.identifier_=function(a,b){return sre.SemanticProcessor.getInstance().identifierNode(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")),a.getAttribute("class"))};
-sre.SemanticMathml.prototype.number_=function(a,b){a=this.leaf_(a);sre.SemanticProcessor.number(a);return a};sre.SemanticMathml.prototype.operator_=function(a,b){a=this.leaf_(a);a.type===sre.SemanticAttr.Type.UNKNOWN&&(a.type=sre.SemanticAttr.Type.OPERATOR);return a};
-sre.SemanticMathml.prototype.fenced_=function(a,b){b=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));var c=sre.SemanticMathml.getAttribute_(a,"separators",","),d=sre.SemanticMathml.getAttribute_(a,"open","(");a=sre.SemanticMathml.getAttribute_(a,"close",")");a=sre.SemanticProcessor.getInstance().mfenced(d,a,c,b);return sre.SemanticProcessor.getInstance().tablesInRow([a])[0]};
-sre.SemanticMathml.prototype.enclosed_=function(a,b){b=this.parseNodes_(sre.SemanticUtil.purgeNodes(b));b=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ENCLOSE,[sre.SemanticProcessor.getInstance().row(b)],[]);b.role=a.getAttribute("notation")||sre.SemanticAttr.Role.UNKNOWN;return b};
-sre.SemanticMathml.prototype.multiscripts_=function(a,b){if(!b.length)return this.getFactory().makeEmptyNode();a=this.parse(b.shift());if(!b.length)return a;for(var c=[],d=[],e=[],f=[],g=!1,h=0,k=0,l;l=b[k];k++)"MPRESCRIPTS"===sre.DomUtil.tagName(l)?(g=!0,h=0):(g?h&1?c.push(l):d.push(l):h&1?e.push(l):f.push(l),h++);return sre.SemanticUtil.purgeNodes(c).length||sre.SemanticUtil.purgeNodes(d).length?sre.SemanticProcessor.getInstance().tensor(a,this.parseNodes_(d),this.parseNodes_(c),this.parseNodes_(f),
-this.parseNodes_(e)):sre.SemanticProcessor.getInstance().pseudoTensor(a,this.parseNodes_(f),this.parseNodes_(e))};sre.SemanticMathml.prototype.empty_=function(a,b){return this.getFactory().makeEmptyNode()};sre.SemanticMathml.prototype.action_=function(a,b){return 1<b.length?this.parse(b[1]):this.getFactory().makeUnprocessed(a)};sre.SemanticMathml.prototype.dummy_=function(a,b){return this.getFactory().makeUnprocessed(a)};
-sre.SemanticMathml.prototype.leaf_=function(a){return this.getFactory().makeLeafNode(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")))};sre.SemanticMathml.getAttribute_=function(a,b,c){if(!a.hasAttribute(b))return c;a=a.getAttribute(b);return a.match(/^\s*$/)?null:a};sre.SemanticTree=function(a){this.mathml=a;this.parser=new sre.SemanticMathml;this.root=this.parser.parse(a)};sre.SemanticTree.empty=function(){var a=sre.DomUtil.parseInput("<math/>"),b=new sre.SemanticTree(a);b.mathml=a;return b};sre.SemanticTree.fromNode=function(a,b){var c=sre.SemanticTree.empty();c.root=a;b&&(c.mathml=b);return c};sre.SemanticTree.fromRoot=function(a,b){for(;a.parent;)a=a.parent;a=sre.SemanticTree.fromNode(a);b&&(a.mathml=b);return a};
-sre.SemanticTree.prototype.xml=function(a){var b=sre.DomUtil.parseInput("<stree></stree>");a=this.root.xml(b.ownerDocument,a);b.appendChild(a);return b};sre.SemanticTree.prototype.toString=function(a){return(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(this.xml(a))};sre.SemanticTree.prototype.formatXml=function(a){a=this.toString(a);return sre.DomUtil.formatXml(a)};sre.SemanticTree.prototype.displayTree=function(){this.root.displayTree(0)};
-sre.SemanticTree.prototype.replaceNode=function(a,b){var c=a.parent;c?c.replaceChild(a,b):this.root=b};sre.Semantic={};sre.Semantic.Font=sre.SemanticAttr.Font;sre.Semantic.Role=sre.SemanticAttr.Role;sre.Semantic.Type=sre.SemanticAttr.Type;sre.Semantic.xmlTree=function(a){return sre.Semantic.getTree(a).xml()};sre.Semantic.getTree=function(a){return new sre.SemanticTree(a)};sre.Semantic.getTreeFromString=function(a){a=sre.DomUtil.parseInput(a);return sre.Semantic.getTree(a)};sre.SemanticSkeleton=function(a){this.array=a=0===a?a:a||[];this.levelsMap=this.parents=null};sre.SemanticSkeleton.prototype.populate=function(){this.parents&&this.levelsMap||(this.parents={},this.levelsMap={},this.populate_(this.array,this.array,[]))};
+sre.SemanticMathml.prototype.parse=function(a){sre.SemanticProcessor.getInstance().setNodeFactory(this.getFactory());var b=sre.DomUtil.toArray(a.childNodes),c=sre.DomUtil.tagName(a),d=this.parseMap_[c];b=(d?d:goog.bind(this.dummy_,this))(a,b);this.addAttributes(b,a);if(-1!==["MATH","MROW","MPADDED","MSTYLE","SEMANTICS"].indexOf(c))return b;b.mathml.unshift(a);b.mathmlTree=a;return b};
+sre.SemanticMathml.prototype.addAttributes=function(a,b){if(b.hasAttributes()){b=b.attributes;for(var c=b.length-1;0<=c;c--){var d=b[c].name;d.match(/^ext/)&&(a.attributes[d]=b[c].value)}}};sre.SemanticMathml.prototype.semantics_=function(a,b){return b.length?this.parse(b[0]):this.getFactory().makeEmptyNode()};
+sre.SemanticMathml.prototype.rows_=function(a,b){var c=a.getAttribute("semantics");if(c&&c.match("bspr_"))return sre.SemanticProcessor.proof(a,c,goog.bind(this.parseList,this));b=sre.SemanticUtil.purgeNodes(b);b=1===b.length?this.parse(b[0]):sre.SemanticProcessor.getInstance().row(this.parseList(b));b.mathml.unshift(a);return b};
+sre.SemanticMathml.prototype.fraction_=function(a,b){return sre.SemanticProcessor.getInstance().fractionLikeNode(this.parse(b[0]),this.parse(b[1]),a.getAttribute("linethickness"),"true"===a.getAttribute("bevelled"))};sre.SemanticMathml.prototype.limits_=function(a,b){return sre.SemanticProcessor.getInstance().limitNode(sre.DomUtil.tagName(a),this.parseList(b))};
+sre.SemanticMathml.prototype.root_=function(a,b){return this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROOT,[this.parse(b[1]),this.parse(b[0])],[])};sre.SemanticMathml.prototype.sqrt_=function(a,b){a=this.parseList(sre.SemanticUtil.purgeNodes(b));return this.getFactory().makeBranchNode(sre.SemanticAttr.Type.SQRT,[sre.SemanticProcessor.getInstance().row(a)],[])};
+sre.SemanticMathml.prototype.table_=function(a,b){var c=a.getAttribute("semantics");if(c&&c.match("bspr_"))return sre.SemanticProcessor.proof(a,c,goog.bind(this.parseList,this));a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.TABLE,this.parseList(b),[]);sre.SemanticProcessor.tableToMultiline(a);return a};sre.SemanticMathml.prototype.tableRow_=function(a,b){a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROW,this.parseList(b),[]);a.role=sre.SemanticAttr.Role.TABLE;return a};
+sre.SemanticMathml.prototype.tableLabeledRow_=function(a,b){if(!b.length)return this.tableRow_(a,b);a=this.parse(b[0]);a.role=sre.SemanticAttr.Role.LABEL;b=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ROW,this.parseList(b.slice(1)),[a]);b.role=sre.SemanticAttr.Role.TABLE;return b};
+sre.SemanticMathml.prototype.tableCell_=function(a,b){a=this.parseList(sre.SemanticUtil.purgeNodes(b));a=a.length?1===a.length&&sre.SemanticPred.isAttribute("type","EMPTY")(a[0])?a:[sre.SemanticProcessor.getInstance().row(a)]:[];a=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.CELL,a,[]);a.role=sre.SemanticAttr.Role.TABLE;return a};
+sre.SemanticMathml.prototype.text_=function(a,b){return sre.SemanticProcessor.getInstance().text(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")),sre.DomUtil.tagName(a))};
+sre.SemanticMathml.prototype.identifier_=function(a,b){a=sre.SemanticProcessor.getInstance().identifierNode(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")),a.getAttribute("class"));if("clearspeak"!==sre.Engine.getInstance().domain)return a;-1!=="fghFGH".split("").indexOf(a.textContent)&&(a.role=sre.SemanticAttr.Role.SIMPLEFUNC);return a};sre.SemanticMathml.prototype.number_=function(a,b){a=this.leaf_(a);sre.SemanticProcessor.number(a);return a};
+sre.SemanticMathml.prototype.operator_=function(a,b){a=this.leaf_(a);a.type===sre.SemanticAttr.Type.UNKNOWN&&(a.type=sre.SemanticAttr.Type.OPERATOR);return a};sre.SemanticMathml.prototype.fenced_=function(a,b){b=this.parseList(sre.SemanticUtil.purgeNodes(b));var c=sre.SemanticMathml.getAttribute_(a,"separators",","),d=sre.SemanticMathml.getAttribute_(a,"open","(");a=sre.SemanticMathml.getAttribute_(a,"close",")");a=sre.SemanticProcessor.getInstance().mfenced(d,a,c,b);return sre.SemanticProcessor.getInstance().tablesInRow([a])[0]};
+sre.SemanticMathml.prototype.enclosed_=function(a,b){b=this.parseList(sre.SemanticUtil.purgeNodes(b));b=this.getFactory().makeBranchNode(sre.SemanticAttr.Type.ENCLOSE,[sre.SemanticProcessor.getInstance().row(b)],[]);b.role=a.getAttribute("notation")||sre.SemanticAttr.Role.UNKNOWN;return b};
+sre.SemanticMathml.prototype.multiscripts_=function(a,b){if(!b.length)return this.getFactory().makeEmptyNode();a=this.parse(b.shift());if(!b.length)return a;for(var c=[],d=[],e=[],f=[],g=!1,h=0,k=0,l;l=b[k];k++)"MPRESCRIPTS"===sre.DomUtil.tagName(l)?(g=!0,h=0):(g?h&1?c.push(l):d.push(l):h&1?e.push(l):f.push(l),h++);return sre.SemanticUtil.purgeNodes(c).length||sre.SemanticUtil.purgeNodes(d).length?sre.SemanticProcessor.getInstance().tensor(a,this.parseList(d),this.parseList(c),this.parseList(f),this.parseList(e)):
+sre.SemanticProcessor.getInstance().pseudoTensor(a,this.parseList(f),this.parseList(e))};sre.SemanticMathml.prototype.empty_=function(a,b){return this.getFactory().makeEmptyNode()};sre.SemanticMathml.prototype.action_=function(a,b){return 1<b.length?this.parse(b[1]):this.getFactory().makeUnprocessed(a)};sre.SemanticMathml.prototype.dummy_=function(a,b){return this.getFactory().makeUnprocessed(a)};sre.SemanticMathml.prototype.leaf_=function(a){return this.getFactory().makeLeafNode(a.textContent,sre.SemanticProcessor.getInstance().font(a.getAttribute("mathvariant")))};
+sre.SemanticMathml.getAttribute_=function(a,b,c){if(!a.hasAttribute(b))return c;a=a.getAttribute(b);return a.match(/^\s*$/)?null:a};sre.SemanticTree=function(a){this.mathml=a;this.parser=new sre.SemanticMathml;this.root=this.parser.parse(a);this.collator=this.parser.getFactory().leafMap.collateMeaning();var b=this.collator.newDefault();b&&(this.parser=new sre.SemanticMathml,this.parser.getFactory().defaultMap=b,this.root=this.parser.parse(a));sre.SemanticTree.implicitVisitor_.visit(this.root,{});sre.SemanticTree.unitVisitor_.visit(this.root,{});sre.SemanticAnnotations.getInstance().annotate(this.root)};
+sre.SemanticTree.implicitVisitor_=new sre.SemanticVisitor("general",function(a,b){a.type===sre.SemanticAttr.Type.INFIXOP&&a.role===sre.SemanticAttr.Role.MULTIPLICATION&&a.contentNodes.every(function(c){return!c.embellished&&c.textContent===sre.SemanticAttr.invisibleTimes()})&&(a.role=sre.SemanticAttr.Role.IMPLICIT);return!1});
+sre.SemanticTree.unitVisitor_=new sre.SemanticVisitor("general",function(a,b){a.type===sre.SemanticAttr.Type.INFIXOP&&a.role===sre.SemanticAttr.Role.MULTIPLICATION&&(b=a.childNodes,b.length&&(sre.SemanticPred.isPureUnit(b[0])||sre.SemanticPred.isUnitCounter(b[0]))&&a.childNodes.slice(1).every(sre.SemanticPred.isPureUnit)&&(a.role=sre.SemanticAttr.Role.UNIT));return!1});sre.SemanticTree.empty=function(){var a=sre.DomUtil.parseInput("<math/>"),b=new sre.SemanticTree(a);b.mathml=a;return b};
+sre.SemanticTree.fromNode=function(a,b){var c=sre.SemanticTree.empty();c.root=a;b&&(c.mathml=b);return c};sre.SemanticTree.fromRoot=function(a,b){for(;a.parent;)a=a.parent;a=sre.SemanticTree.fromNode(a);b&&(a.mathml=b);return a};sre.SemanticTree.prototype.xml=function(a){var b=sre.DomUtil.parseInput("<stree></stree>");a=this.root.xml(b.ownerDocument,a);b.appendChild(a);return b};sre.SemanticTree.prototype.toString=function(a){return(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(this.xml(a))};
+sre.SemanticTree.prototype.formatXml=function(a){a=this.toString(a);return sre.DomUtil.formatXml(a)};sre.SemanticTree.prototype.displayTree=function(){this.root.displayTree()};sre.SemanticTree.prototype.replaceNode=function(a,b){var c=a.parent;c?c.replaceChild(a,b):this.root=b};sre.SemanticTree.prototype.toJson=function(){var a={};a.stree=this.root.toJson();return a};sre.Semantic={};sre.Semantic.Font=sre.SemanticAttr.Font;sre.Semantic.Role=sre.SemanticAttr.Role;sre.Semantic.Type=sre.SemanticAttr.Type;sre.Semantic.xmlTree=function(a){return sre.Semantic.getTree(a).xml()};sre.Semantic.getTree=function(a){return new sre.SemanticTree(a)};sre.Semantic.getTreeFromString=function(a){a=sre.DomUtil.parseInput(a);return sre.Semantic.getTree(a)};sre.MathspeakUtil={};sre.MathspeakUtil.spaceoutText=function(a){return a.textContent.split("").join(" ")};sre.MathspeakUtil.spaceoutNodes=function(a,b){var c=a.textContent.split(""),d=[],e=sre.SemanticProcessor.getInstance();a=a.ownerDocument;for(var f=0,g;g=c[f];f++)g=e.identifierNode(g,sre.Semantic.Font.UNKNOWN,""),b(g),d.push(g.xml(a));return d};sre.MathspeakUtil.spaceoutNumber=function(a){return sre.MathspeakUtil.spaceoutNodes(a,function(b){b.textContent.match(/\W/)||(b.type=sre.Semantic.Type.NUMBER)})};
+sre.MathspeakUtil.spaceoutIdentifier=function(a){return sre.MathspeakUtil.spaceoutNodes(a,function(b){b.font=sre.Semantic.Font.UNKNOWN;b.type=sre.Semantic.Type.IDENTIFIER})};
+sre.MathspeakUtil.nestingBarriers=[sre.Semantic.Type.CASES,sre.Semantic.Type.CELL,sre.Semantic.Type.INTEGRAL,sre.Semantic.Type.LINE,sre.Semantic.Type.MATRIX,sre.Semantic.Type.MULTILINE,sre.Semantic.Type.OVERSCORE,sre.Semantic.Type.ROOT,sre.Semantic.Type.ROW,sre.Semantic.Type.SQRT,sre.Semantic.Type.SUBSCRIPT,sre.Semantic.Type.SUPERSCRIPT,sre.Semantic.Type.TABLE,sre.Semantic.Type.UNDERSCORE,sre.Semantic.Type.VECTOR];sre.MathspeakUtil.nestingDepth={};
+sre.MathspeakUtil.resetNestingDepth=function(a){sre.MathspeakUtil.nestingDepth={};return[a]};
+sre.MathspeakUtil.getNestingDepth=function(a,b,c,d,e,f){d=d||sre.MathspeakUtil.nestingBarriers;e=e||{};f=f||function(h){return!1};var g=(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(b);sre.MathspeakUtil.nestingDepth[a]||(sre.MathspeakUtil.nestingDepth[a]={});if(sre.MathspeakUtil.nestingDepth[a][g])return sre.MathspeakUtil.nestingDepth[a][g];if(f(b)||0>c.indexOf(b.tagName))return 0;b=sre.MathspeakUtil.computeNestingDepth_(b,c,sre.BaseUtil.setdifference(d,c),e,f,0);return sre.MathspeakUtil.nestingDepth[a][g]=
+b};sre.MathspeakUtil.containsAttr=function(a,b){if(!a.attributes)return!1;a=sre.DomUtil.toArray(a.attributes);for(var c=0,d;d=a[c];c++)if(b[d.nodeName]===d.nodeValue)return!0;return!1};
+sre.MathspeakUtil.computeNestingDepth_=function(a,b,c,d,e,f){if(e(a)||-1<c.indexOf(a.tagName)||sre.MathspeakUtil.containsAttr(a,d))return f;-1<b.indexOf(a.tagName)&&f++;if(!a.childNodes||0===a.childNodes.length)return f;a=sre.DomUtil.toArray(a.childNodes);return Math.max.apply(null,a.map(function(g){return sre.MathspeakUtil.computeNestingDepth_(g,b,c,d,e,f)}))};
+sre.MathspeakUtil.fractionNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("fraction",a,["fraction"],sre.MathspeakUtil.nestingBarriers,{},sre.Messages.MS_FUNC.FRAC_NEST_DEPTH)};sre.MathspeakUtil.nestedFraction=function(a,b,c){a=sre.MathspeakUtil.fractionNestingDepth(a);a=Array.apply(null,Array(a)).map(function(d){return b});c&&a.push(c);return a.join(sre.Messages.REGEXP.JOINER_FRAC)};
+sre.MathspeakUtil.openingFractionVerbose=function(a){return sre.MathspeakUtil.nestedFraction(a,sre.Messages.MS.START,sre.Messages.MS.FRAC_V)};sre.MathspeakUtil.closingFractionVerbose=function(a){return sre.MathspeakUtil.nestedFraction(a,sre.Messages.MS.END,sre.Messages.MS.FRAC_V)};sre.MathspeakUtil.overFractionVerbose=function(a){return sre.MathspeakUtil.nestedFraction(a,sre.Messages.MS.FRAC_OVER)};
+sre.MathspeakUtil.openingFractionBrief=function(a){return sre.MathspeakUtil.nestedFraction(a,sre.Messages.MS.START,sre.Messages.MS.FRAC_B)};sre.MathspeakUtil.closingFractionBrief=function(a){return sre.MathspeakUtil.nestedFraction(a,sre.Messages.MS.END,sre.Messages.MS.FRAC_B)};
+sre.MathspeakUtil.openingFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.FRAC_S:sre.Messages.MS_FUNC.COMBINE_NESTED_FRACTION(sre.Messages.MS.NEST_FRAC,sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1),sre.Messages.MS.FRAC_S)};
+sre.MathspeakUtil.closingFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.ENDFRAC:sre.Messages.MS_FUNC.COMBINE_NESTED_FRACTION(sre.Messages.MS.NEST_FRAC,sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1),sre.Messages.MS.ENDFRAC)};
+sre.MathspeakUtil.overFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.FRAC_OVER:sre.Messages.MS_FUNC.COMBINE_NESTED_FRACTION(sre.Messages.MS.NEST_FRAC,sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1),sre.Messages.MS.FRAC_OVER)};sre.MathspeakUtil.isSmallVulgarFraction=function(a){return sre.NumbersUtil.vulgarFractionSmall(a,10,100)?[a]:[]};
+sre.MathspeakUtil.nestedSubSuper=function(a,b,c){for(;a.parentNode;){var d=a.parentNode,e=d.parentNode,f=a.getAttribute&&a.getAttribute("role");if(e.tagName===sre.Semantic.Type.SUBSCRIPT&&a===d.childNodes[1]||e.tagName===sre.Semantic.Type.TENSOR&&f&&(f===sre.Semantic.Role.LEFTSUB||f===sre.Semantic.Role.RIGHTSUB))b=c.sub+sre.Messages.REGEXP.JOINER_SUBSUPER+b;if(e.tagName===sre.Semantic.Type.SUPERSCRIPT&&a===d.childNodes[1]||e.tagName===sre.Semantic.Type.TENSOR&&f&&(f===sre.Semantic.Role.LEFTSUPER||
+f===sre.Semantic.Role.RIGHTSUPER))b=c.sup+sre.Messages.REGEXP.JOINER_SUBSUPER+b;a=e}return b.trim()};sre.MathspeakUtil.subscriptVerbose=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUBSCRIPT,{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB})};sre.MathspeakUtil.subscriptBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUB,{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})};
+sre.MathspeakUtil.superscriptVerbose=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUPERSCRIPT,{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB})};sre.MathspeakUtil.superscriptBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUP,{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})};
+sre.MathspeakUtil.baselineVerbose=function(a){return(a=sre.MathspeakUtil.nestedSubSuper(a,"",{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB}))?a.replace(new RegExp(sre.Messages.MS.SUB+"$"),sre.Messages.MS.SUBSCRIPT).replace(new RegExp(sre.Messages.MS.SUPER+"$"),sre.Messages.MS.SUPERSCRIPT):sre.Messages.MS.BASELINE};sre.MathspeakUtil.baselineBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,"",{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})||sre.Messages.MS.BASE};
+sre.MathspeakUtil.radicalNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("radical",a,["sqrt","root"],sre.MathspeakUtil.nestingBarriers,{})};sre.MathspeakUtil.nestedRadical=function(a,b,c){var d=sre.MathspeakUtil.radicalNestingDepth(a);c=(a=sre.MathspeakUtil.getRootIndex(a))?sre.Messages.MS_FUNC.COMBINE_ROOT_INDEX(c,a):c;return 1===d?c:sre.Messages.MS_FUNC.COMBINE_NESTED_RADICAL(b,sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(d-1),c)};
+sre.MathspeakUtil.getRootIndex=function(a){a="sqrt"===a.tagName?"2":sre.XpathUtil.evalXPath("children/*[1]",a)[0].textContent.trim();return sre.Messages.MS_ROOT_INDEX[a]||""};sre.MathspeakUtil.openingRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.STARTROOT)};sre.MathspeakUtil.closingRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.ENDROOT)};
+sre.MathspeakUtil.indexRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.ROOTINDEX)};sre.MathspeakUtil.openingRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.STARTROOT)};sre.MathspeakUtil.closingRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ENDROOT)};
+sre.MathspeakUtil.indexRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ROOTINDEX)};sre.MathspeakUtil.openingRadicalSbrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ROOT)};sre.MathspeakUtil.indexRadicalSbrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.INDEX)};
+sre.MathspeakUtil.underscoreNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("underscore",a,["underscore"],sre.MathspeakUtil.nestingBarriers,{},function(b){return b.tagName&&b.tagName===sre.Semantic.Type.UNDERSCORE&&b.childNodes[0].childNodes[1].getAttribute("role")===sre.Semantic.Role.UNDERACCENT})};sre.MathspeakUtil.nestedUnderscore=function(a){a=sre.MathspeakUtil.underscoreNestingDepth(a);return Array(a).join(sre.Messages.MS.UNDER)+sre.Messages.MS.UNDERSCRIPT};
+sre.MathspeakUtil.overscoreNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("overscore",a,["overscore"],sre.MathspeakUtil.nestingBarriers,{},function(b){return b.tagName&&b.tagName===sre.Semantic.Type.OVERSCORE&&b.childNodes[0].childNodes[1].getAttribute("role")===sre.Semantic.Role.OVERACCENT})};sre.MathspeakUtil.nestedOverscore=function(a){a=sre.MathspeakUtil.overscoreNestingDepth(a);return Array(a).join(sre.Messages.MS.OVER)+sre.Messages.MS.OVERSCRIPT};
+sre.MathspeakUtil.determinantIsSimple=function(a){if(a.tagName!==sre.Semantic.Type.MATRIX||a.getAttribute("role")!==sre.Semantic.Role.DETERMINANT)return[];for(var b=sre.XpathUtil.evalXPath("children/row/children/cell/children/*",a),c=0,d;d=b[c];c++)if(d.tagName!==sre.Semantic.Type.NUMBER){if(d.tagName===sre.Semantic.Type.IDENTIFIER&&(d=d.getAttribute("role"),d===sre.Semantic.Role.LATINLETTER||d===sre.Semantic.Role.GREEKLETTER||d===sre.Semantic.Role.OTHERLETTER))continue;return[]}return[a]};
+sre.MathspeakUtil.generateBaselineConstraint=function(){var a=function(g){return g.map(function(h){return"ancestor::"+h})},b="not("+a(["subscript","superscript","tensor"]).join(" or ")+")",c=a(["relseq","multrel"]);a=a(["fraction","punctuation","fenced","sqrt","root"]);for(var d=[],e=0,f;f=a[e];e++)d=d.concat(c.map(function(g){return f+"/"+g}));c="not("+d.join(" | ")+")";return["ancestor::*/following-sibling::*",b,c].join(" and ")};
+sre.MathspeakUtil.removeParens=function(a){if(!a.childNodes.length||!a.childNodes[0].childNodes.length||!a.childNodes[0].childNodes[0].childNodes.length)return"";a=a.childNodes[0].childNodes[0].childNodes[0].textContent;return a.match(/^\(.+\)$/)?a.slice(1,-1):a};sre.MathspeakUtil.componentString_={3:"CSFleftsuperscript",4:"CSFleftsubscript",2:"CSFbaseline",1:"CSFrightsubscript",0:"CSFrightsuperscript"};sre.MathspeakUtil.childNumber_={4:2,3:3,2:1,1:4,0:5};
+sre.MathspeakUtil.generateTensorRuleStrings_=function(a){var b=[],c="",d="";a=parseInt(a,2);for(var e=0;5>e;e++){var f="children/*["+sre.MathspeakUtil.childNumber_[e]+"]";if(a&1){var g=sre.MathspeakUtil.componentString_[e%5];c="[t] "+g+"Verbose; [n] "+f+";"+c;d="[t] "+g+"Brief; [n] "+f+";"+d}else b.unshift("name("+f+')="empty"');a>>=1}b.push(c);b.push(d);return b};
+sre.MathspeakUtil.generateTensorRules=function(a){var b=goog.bind(a.defineRule,a),c=goog.bind(a.defineRulesAlias,a);a=goog.bind(a.defineSpecialisedRule,a);for(var d="11111 11110 11101 11100 10111 10110 10101 10100 01111 01110 01101 01100".split(" "),e=0,f;f=d[e];e++){var g="tensor"+f;f=sre.MathspeakUtil.generateTensorRuleStrings_(f);var h=f.pop(),k=f.pop(),l=[g,"default",k,"self::tensor"].concat(f),m=[g,"brief",h,"self::tensor"].concat(f);b.apply(null,l);b.apply(null,m);a(g,"brief","sbrief");l=sre.MathspeakUtil.componentString_[2];
+k+="; [t]"+l+"Verbose";h+="; [t]"+l+"Brief";g+="-baseline";l=[g,"default",k,"self::tensor","following-sibling::*"].concat(f);m=[g,"brief",h,"self::tensor","following-sibling::*"].concat(f);b.apply(null,l);b.apply(null,m);a(g,"brief","sbrief");g=[g,"self::tensor","not(following-sibling::*)","ancestor::fraction|ancestor::punctuated|ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::relseq|ancestor::multirel|@embellished"].concat(f);c.apply(null,g)}};sre.Locale={};sre.Locale.nestingToString=function(a){switch(a){case 1:return sre.Messages.MS.ONCE||"";case 2:return sre.Messages.MS.TWICE;default:return a.toString()}};sre.Locale.vulgarNestingDepth=function(a){return!!sre.MathspeakUtil.isSmallVulgarFraction(a).length};sre.Locale.combinePostfixIndex=function(a,b){return a===sre.Messages.MS.ROOTINDEX||a===sre.Messages.MS.INDEX?a:a+" "+b};sre.Locale.localFont=function(a){var b=sre.Messages.FONT[a];void 0===b&&(b=a||"");return"string"===typeof b?b:b[0]};
+sre.Grammar.getInstance().setCorrection("localFont",sre.Locale.localFont);sre.Locale.localRole=function(a){return sre.Messages.ROLE[a]||a};sre.Grammar.getInstance().setCorrection("localRole",sre.Locale.localRole);sre.Locale.localEnclose=function(a){return sre.Messages.ENCLOSE[a]||a};sre.Grammar.getInstance().setCorrection("localEnclose",sre.Locale.localEnclose);sre.Locale.makePlural=function(a){var b=sre.Messages.PLURAL_UNIT[a];return b?b:sre.Messages.PLURAL(a)};
+sre.Grammar.getInstance().setCorrection("plural",sre.Locale.makePlural);sre.Locale.prefixCombiner=function(a,b,c){a=c?c+" "+a:a;return b?b+" "+a:a};sre.Locale.postfixCombiner=function(a,b,c){a=c?c+" "+a:a;return b?a+" "+b:a};sre.Numbers.de={};sre.Numbers.de.onesNumbers_=" eins zwei drei vier f\u00fcnf sechs sieben acht neun zehn elf zw\u00f6lf dreizehn vierzehn f\u00fcnfzehn sechzehn siebzehn achtzehn neunzehn".split(" ");sre.Numbers.de.tensNumbers_="  zwanzig drei\u00dfig vierzig f\u00fcnfzig sechzig siebzig achtzig neunzig".split(" ");sre.Numbers.de.largeNumbers_=" tausend million milliarde billion billiarde trillion trilliard quadrillion quadrilliard quintillion quintilliarde sextillion sextilliarde".split(" ");
+sre.Numbers.de.onePrefix_=function(a){return a===sre.Numbers.de.onesNumbers_[1]?"ein":a};sre.Numbers.de.hundredsToWords_=function(a){a%=1E3;var b=sre.Numbers.de.onesNumbers_[Math.floor(a/100)];var c=b?sre.Numbers.de.onePrefix_(b)+"hundert":"";if(a%=100)if(c+=c?sre.Numbers.de.NUMBERS.numSep:"",b=sre.Numbers.de.onesNumbers_[a])c+=b;else{var d=sre.Numbers.de.tensNumbers_[Math.floor(a/10)];b=sre.Numbers.de.onesNumbers_[a%10];c+=b?sre.Numbers.de.onePrefix_(b)+"und"+d:d}return c};
+sre.Numbers.de.numberToWords=function(a){if(a>=Math.pow(10,36))return a.toString();for(var b=0,c="";0<a;){if(a%1E3){var d=sre.Numbers.de.hundredsToWords_(a%1E3);c=sre.Numbers.de.onePrefix_(d)+(b?sre.Numbers.de.largeNumbers_[b]:"")+c}a=Math.floor(a/1E3);b++}return c.replace(/ein$/,"eins")};sre.Numbers.de.numberToOrdinal=function(a,b){return 1===a?"eintel":2===a?b?"halbe":"halb":sre.Numbers.de.wordOrdinal(a)+"l"};
+sre.Numbers.de.wordOrdinal=function(a){return 1===a?"erste":3===a?"dritte":7===a?"siebte":8===a?"achte":sre.Numbers.de.numberToWords(a)+(19>a?"te":"ste")};sre.Numbers.de.simpleOrdinal=function(a){return a.toString()+"."};sre.Numbers.de.NUMBERS={wordOrdinal:sre.Numbers.de.wordOrdinal,simpleOrdinal:sre.Numbers.de.simpleOrdinal,numberToWords:sre.Numbers.de.numberToWords,numberToOrdinal:sre.Numbers.de.numberToOrdinal,vulgarSep:" ",numSep:""};var germanPrefixCombiner=function(a,b,c){"s"===c&&(b=b.split(" ").map(function(d){return d.replace(/s$/,"")}).join(" "),c="");a=c?c+" "+a:a;return b?b+" "+a:a},germanPostfixCombiner=function(a,b,c){a=c&&"s"!==c?c+" "+a:a;return b?a+" "+b:a};
+sre.Locale.de={MS:{START:"Anfang",FRAC_V:"Bruch",FRAC_B:"Bruch",FRAC_S:"Bruch",END:"Ende",FRAC_OVER:"durch",TWICE:"Twice",NEST_FRAC:"geschachtelt",ENDFRAC:"Ende Bruch",SUPER:"hoch",SUB:"Index",SUP:"hoch",SUPERSCRIPT:"hoch",SUBSCRIPT:"Index",BASELINE:"Grundlinie",BASE:"Grund",NESTED:"geschachtelte",NEST_ROOT:"geschachtelte",STARTROOT:"Anfang Wurzel",ENDROOT:"Ende Wurzel",ROOTINDEX:"Wurzelexponent",ROOT:"Wurzel",INDEX:"Exponent",UNDER:"Unter",UNDERSCRIPT:"Unterschrift",OVER:"\u00dcber",OVERSCRIPT:"\u00dcberschrift"},
+MS_FUNC:{FRAC_NEST_DEPTH:sre.Locale.vulgarNestingDepth,RADICAL_NEST_DEPTH:function(a){return 1<a?sre.Numbers.de.NUMBERS.numberToWords(a)+"fach":""},COMBINE_ROOT_INDEX:function(a,b){return a.replace("Wurzel",b?b+"wurzel":"")},COMBINE_NESTED_FRACTION:function(a,b,c){return a+b+c},COMBINE_NESTED_RADICAL:function(a,b,c){a=c.match(/exponent$/)?a+"r":a;a=(b?b+" ":"")+a;return c.match(/ /)?c.replace(/ /," "+a+" "):a+" "+c},FONT_REGEXP:function(a){a=a.split(" ").map(function(b){return b.replace(/s$/,"(|s)")}).join(" ");
+return new RegExp("((^"+a+" )|( "+a+"$))")}},MS_ROOT_INDEX:{2:"Quadrat",3:"Kubik"},FONT:{bold:"fettes","bold-fraktur":"fettes Fraktur","bold-italic":"fettkursives","bold-script":"fettes Schreibschrift",caligraphic:"kalligrafisches","caligraphic-bold":"fettes kalligrafisches","double-struck":["mit Doppelstrich",germanPostfixCombiner],"double-struck-italic":["kursiv mit Doppelstrich",germanPostfixCombiner],fraktur:"Fraktur",fullwidth:"vollbreites",italic:"kursives",monospace:"nichtproportionales",normal:"normales",
+oldstyle:"antiquiertes","oldstyle-bold":"antiquiertes fettes",script:"Schreibschrift","sans-serif":"serifenloses","sans-serif-italic":"serifenloses kursives","sans-serif-bold":"serifenloses fettes","sans-serif-bold-italic":"serifenloses fettkursives",unknown:"unbekannt"},EMBELLISH:{"super":"hoch",sub:"Index",circled:"eingekreistes",parenthesized:"eingeklammertes",period:["Punkt",germanPostfixCombiner],"negative-circled":"schwarz eingekreistes","double-circled":"doppelt eingekreistes","circled-sans-serif":"eingekreistes serifenloses",
+"negative-circled-sans-serif":"schwarz eingekreistes serifenloses",comma:["Komma",germanPostfixCombiner],squared:"umrahmtes","negative-squared":"schwarz umrahmtes"},ROLE:{addition:"Addition",multiplication:"Multiplikation",subtraction:"Subtraktion",division:"Division",equality:"Gleichung",inequality:"Ungleichung",element:"Element",arrow:"Pfeil",determinant:"Determinante",rowvector:"Zeilenvektor",binomial:"Binomialkoeffizient",squarematrix:"quadratische Matrize",multiline:"mehrzeiligem Ausdruck",matrix:"Matrize",
+vector:"Vektor",cases:"Fallunterscheidung",table:"Tabelle",unknown:"unbekannt"},ENCLOSE:{longdiv:"langer Bruchstrich",actuarial:"Bilanzsumme",radical:"Quadratwurzel",box:"rechteckige Umrandung",roundedbox:"abgerundete rechteckige Umrandung",circle:"kreis\u00e4hnliche Umrandung",left:"senkrechte Linie links",right:"senkrechte Linie rechts",top:"waagerechte Linie oberhalb",bottom:"waagerechte Linie unterhalb",updiagonalstrike:"durchgestrichen",downdiagonalstrike:"durchgestrichen",verticalstrike:"senkrecht durchgestrichen",
+horizontalstrike:"durchgestrichen",madruwb:"arabisches Fakult\u00e4tssymbol",updiagonalarrow:"Pfeil von links unten nach rechts oben",phasorangle:"phasor angle",unknown:"langer Bruchstrich"},NAVIGATE:{COLLAPSIBLE:"kollabierbar",EXPANDABLE:"ausfaltbar",LEVEL:"Niveau"},REGEXP:{TEXT:"a-zA-Z\u00e4\u00f6\u00fc\u00c4\u00d6\u00dc\u00df",NUMBER:"((\\d{1,3})(?=(.| ))((.| )\\d{3})*(\\,\\d+)?)|^\\d*\\,\\d+|^\\d+",DECIMAL_MARK:",",DIGIT_GROUP:"\\.",JOINER_SUBSUPER:" ",JOINER_FRAC:" "},PLURAL_UNIT:{Meile:"Meilen",
+Yard:"Yards",Joule:"Joules",Gallone:"Gallonen",Unze:"Unzen",Tonne:"Tonnen",Minute:"Minuten",Stunde:"Stunden",Sekunde:"Sekunden"},PLURAL:function(a){return a.match(/(B|b)yte$/)?a.replace(/yte$/,"ytes"):a},NUMBERS:sre.Numbers.de.NUMBERS,ALPHABETS:{latinSmall:"abcdefghijklmnopqrstuvwxyz".split(""),latinCap:"ABCDEFGHIJKLMNOPQRSTUVWXYZ".split(""),greekSmall:"nabla;alpha;beta;gamma;delta;epsilon;zeta;eta;theta;iota;kappa;lambda;my;ny;xi;omikron;pi;rho;abschlie\u00dfendes sigma;sigma;tau;ypsilon;phi;chi;psi;omega;partielle Ableitung;epsilon;theta;kappa;phi;rho;pi".split(";"),
+greekCap:"Alpha Beta Gamma Delta Epsilon Zeta Eta Theta Iota Kappa Lambda My Ny Xi Omikron Pi Rho Theta Sigma Tau Ypsilon Phi Chi Psi Omega".split(" ")},ALPHABET_TRANSFORMERS:{digit:{default:function(a){return 0===a?"null":sre.Numbers.de.numberToWords(a)},mathspeak:function(a){return a.toString()},clearspeak:function(a){return a.toString()}},letter:{default:function(a){return a}}},ALPHABET_PREFIXES:{capPrefix:{default:"gro\u00dfes"},smallPrefix:{default:""},digitPrefix:{default:"s"}},ALPHABET_COMBINER:germanPrefixCombiner};
+sre.Grammar.getInstance().setCorrection("correctOne",function(a){return a.replace(/^eins /,"ein ")});sre.Grammar.getInstance().setCorrection("localFontNumber",function(a){var b=sre.Messages.FONT[a];void 0===b&&(b=a||"");b="string"===typeof b?b:b[0];return b.split(" ").map(function(c){return c.replace(/s$/,"")}).join(" ")});sre.Grammar.getInstance().setCorrection("lowercase",function(a){return a.toLowerCase()});
+sre.Grammar.getInstance().setCorrection("article",function(a){return"dative"===sre.Grammar.getInstance().getParameter("case")?{der:"dem",die:"der",das:"dem"}[a]:a});sre.Grammar.getInstance().setCorrection("masculine",function(a){return"dative"===sre.Grammar.getInstance().getParameter("case")?a+"n":a});sre.Numbers.en={};sre.Numbers.en.onesNumbers_=" one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen".split(" ");sre.Numbers.en.tensNumbers_="  twenty thirty forty fifty sixty seventy eighty ninety".split(" ");sre.Numbers.en.largeNumbers_=" thousand million billion trillion quadrillion quintillion sextillion septillion octillion nonillion decillion".split(" ");
+sre.Numbers.en.hundredsToWords_=function(a){a%=1E3;var b=sre.Numbers.en.onesNumbers_[Math.floor(a/100)]?sre.Numbers.en.onesNumbers_[Math.floor(a/100)]+sre.Numbers.en.NUMBERS.numSep+"hundred":"";if(a%=100)b+=b?sre.Numbers.en.NUMBERS.numSep:"",b+=sre.Numbers.en.onesNumbers_[a]||sre.Numbers.en.tensNumbers_[Math.floor(a/10)]+(a%10?sre.Numbers.en.NUMBERS.numSep+sre.Numbers.en.onesNumbers_[a%10]:"");return b};
+sre.Numbers.en.numberToWords=function(a){if(a>=Math.pow(10,36))return a.toString();for(var b=0,c="";0<a;)a%1E3&&(c=sre.Numbers.en.hundredsToWords_(a%1E3)+(b?"-"+sre.Numbers.en.largeNumbers_[b]+"-":"")+c),a=Math.floor(a/1E3),b++;return c.replace(/-$/,"")};sre.Numbers.en.numberToOrdinal=function(a,b){if(1===a)return b?"oneths":"oneth";if(2===a)return b?"halves":"half";a=sre.Numbers.en.wordOrdinal(a);return b?a+"s":a};
+sre.Numbers.en.wordOrdinal=function(a){a=sre.Numbers.en.numberToWords(a);return a=a.match(/one$/)?a.slice(0,-3)+"first":a.match(/two$/)?a.slice(0,-3)+"second":a.match(/three$/)?a.slice(0,-5)+"third":a.match(/five$/)?a.slice(0,-4)+"fifth":a.match(/eight$/)?a.slice(0,-5)+"eighth":a.match(/nine$/)?a.slice(0,-4)+"ninth":a.match(/twelve$/)?a.slice(0,-6)+"twelfth":a.match(/ty$/)?a.slice(0,-2)+"tieth":a+"th"};
+sre.Numbers.en.simpleOrdinal=function(a){var b=a%100,c=a.toString();if(10<b&&20>b)return c+"th";switch(a%10){case 1:return c+"st";case 2:return c+"nd";case 3:return c+"rd";default:return c+"th"}};sre.Numbers.en.NUMBERS={wordOrdinal:sre.Numbers.en.wordOrdinal,simpleOrdinal:sre.Numbers.en.simpleOrdinal,numberToWords:sre.Numbers.en.numberToWords,numberToOrdinal:sre.Numbers.en.numberToOrdinal,vulgarSep:" ",numSep:" "};sre.Locale.en={MS:{START:"Start",FRAC_V:"Fraction",FRAC_B:"Frac",FRAC_S:"Frac",END:"End",FRAC_OVER:"Over",TWICE:"Twice",NEST_FRAC:"Nest",ENDFRAC:"EndFrac",SUPER:"Super",SUB:"Sub",SUP:"Sup",SUPERSCRIPT:"Superscript",SUBSCRIPT:"Subscript",BASELINE:"Baseline",BASE:"Base",NESTED:"Nested",NEST_ROOT:"Nest",STARTROOT:"StartRoot",ENDROOT:"EndRoot",ROOTINDEX:"RootIndex",ROOT:"Root",INDEX:"Index",UNDER:"Under",UNDERSCRIPT:"Underscript",OVER:"Over",OVERSCRIPT:"Overscript"},MS_FUNC:{FRAC_NEST_DEPTH:sre.Locale.vulgarNestingDepth,
+RADICAL_NEST_DEPTH:sre.Locale.nestingToString,COMBINE_ROOT_INDEX:function(a,b){return a},COMBINE_NESTED_FRACTION:function(a,b,c){return a+b+c},COMBINE_NESTED_RADICAL:function(a,b,c){return a+b+c},FONT_REGEXP:function(a){return new RegExp("^"+a.split(/ |-/).join("( |-)")+"( |-)")}},MS_ROOT_INDEX:{},FONT:{bold:"bold","bold-fraktur":"bold fraktur","bold-italic":"bold italic","bold-script":"bold script",caligraphic:"calligraphic","caligraphic-bold":"calligraphic bold","double-struck":"double struck",
+"double-struck-italic":"double struck italic",fraktur:"fraktur",fullwidth:"fullwidth",italic:"italic",monospace:"monospace",normal:"normal",oldstyle:"oldstyle","oldstyle-bold":"oldstyle bold",script:"script","sans-serif":"sans serif","sans-serif-italic":"sans serif italic","sans-serif-bold":"sans serif bold","sans-serif-bold-italic":"sans serif bold italic",unknown:"unknown"},EMBELLISH:{"super":"super",sub:"sub",circled:"circled",parenthesized:"parenthesized",period:["period",sre.Locale.postfixCombiner],
+"negative-circled":"black circled","double-circled":"double circled","circled-sans-serif":"circled sans serif","negative-circled-sans-serif":"black circled sans serif",comma:["comma",sre.Locale.postfixCombiner],squared:"squared","negative-squared":"black squared"},ROLE:{addition:"addition",multiplication:"multiplication",subtraction:"subtraction",division:"division",equality:"equality",inequality:"inequality",element:"element",arrow:"arrow",determinant:"determinant",rowvector:"row vector",binomial:"binomial",
+squarematrix:"square matrix",multiline:"multiple lines",matrix:"matrix",vector:"vector",cases:"case statement",table:"table",unknown:"unknown"},ENCLOSE:{longdiv:"long division",actuarial:"actuarial symbol",radical:"square root",box:"box",roundedbox:"rounded box",circle:"circle",left:"left vertical-line",right:"right vertical-line",top:"overbar",bottom:"underbar",updiagonalstrike:"crossout",downdiagonalstrike:"crossout",verticalstrike:"vertical strikeout",horizontalstrike:"crossout",madruwb:"Arabic factorial symbol",
+updiagonalarrow:"diagonal arrow",phasorangle:"phasor angle",unknown:"long division"},NAVIGATE:{COLLAPSIBLE:"collapsible",EXPANDABLE:"expandable",LEVEL:"Level"},REGEXP:{TEXT:"a-zA-Z",NUMBER:"((\\d{1,3})(?=(,| ))((,| )\\d{3})*(\\.\\d+)?)|^\\d*\\.\\d+|^\\d+",DECIMAL_MARK:"\\.",DIGIT_GROUP:",",JOINER_SUBSUPER:" ",JOINER_FRAC:""},PLURAL_UNIT:{foot:"feet",inch:"inches","square foot":"square feet","square inch":"square inches","cubic foot":"cubic feet","cubic inch":"cubic inches"},NUMBERS:sre.Numbers.en.NUMBERS,
+ALPHABETS:{latinSmall:"abcdefghijklmnopqrstuvwxyz".split(""),latinCap:"ABCDEFGHIJKLMNOPQRSTUVWXYZ".split(""),greekSmall:"nabla;alpha;beta;gamma;delta;epsilon;zeta;eta;theta;iota;kappa;lamda;mu;nu;xi;omicron;pi;rho;final sigma;sigma;tau;upsilon;phi;chi;psi;omega;partial differential;epsilon;theta;kappa;phi;rho;pi".split(";"),greekCap:"Alpha Beta Gamma Delta Epsilon Zeta Eta Theta Iota Kappa Lamda Mu Nu Xi Omicron Pi Rho Theta Sigma Tau Upsilon Phi Chi Psi Omega".split(" ")},ALPHABET_TRANSFORMERS:{digit:{default:function(a){return 0===
+a?"zero":sre.Numbers.en.numberToWords(a)},mathspeak:function(a){return a.toString()},clearspeak:function(a){return a.toString()}},letter:{default:function(a){return a}}},ALPHABET_PREFIXES:{capPrefix:{default:"cap",mathspeak:"upper"},smallPrefix:{default:""},digitPrefix:{default:""}},ALPHABET_COMBINER:sre.Locale.prefixCombiner};sre.Numbers.es={};sre.Numbers.es.onesNumbers_=" uno dos tres cuatro cinco seis siete ocho nueve diez once doce trece catorce quince diecis\u00e9is diecisiete dieciocho diecinueve veinte veintiuno veintid\u00f3s veintitr\u00e9s veinticuatro veinticinco veintis\u00e9is veintisiete veintiocho veintinueve".split(" ");sre.Numbers.es.tensNumbers_="   treinta cuarenta cincuenta sesenta setenta ochenta noventa".split(" ");sre.Numbers.es.hundredsNumbers_=" cien doscientos trescientos cuatrocientos quinientos seiscientos setecientos ochocientos novecientos".split(" ");
+sre.Numbers.es.largeNumbers_=";mil;mill\u00f3n;mil mill\u00f3nes;bill\u00f3n;mil bill\u00f3nes;trill\u00f3n;mil trill\u00f3nes;cuatrill\u00f3;mil cuatrill\u00f3es;quintill\u00f3n;mil quintill\u00f3nes;sextill\u00f3n;mil sextill\u00f3nes;septill\u00f3n;mil septill\u00f3nes;octill\u00f3n;mil octill\u00f3nes;nonill\u00f3n;mil nonill\u00f3nes;decill\u00f3n;mil decill\u00f3nes".split(";");
+sre.Numbers.es.tensToWords_=function(a){var b=a%100;if(30>b)return sre.Numbers.es.onesNumbers_[b];a=sre.Numbers.es.tensNumbers_[Math.floor(b/10)];b=sre.Numbers.es.onesNumbers_[b%10];return a&&b?a+" y "+b:a||b};sre.Numbers.es.hundredsToWords_=function(a){var b=a%1E3;a=Math.floor(b/100);var c=sre.Numbers.es.hundredsNumbers_[a];b=sre.Numbers.es.tensToWords_(b%100);return 1===a?b?c+"to "+b:c:c&&b?c+" "+b:c||b};
+sre.Numbers.es.numberToWords=function(a){if(a>=Math.pow(10,36))return a.toString();for(var b=0,c="";0<a;){var d=a%1E3;if(d){var e=sre.Numbers.es.largeNumbers_[b],f=sre.Numbers.es.hundredsToWords_(d);b?1===d?(e=e.match("/^mil( |$)/")?e:"un "+e,c=e+(c?" "+c:"")):(e=e.replace(/\u00f3n$/,"ones"),c=sre.Numbers.es.hundredsToWords_(d)+" "+e+(c?" "+c:"")):c=f}a=Math.floor(a/1E3);b++}return c};sre.Numbers.es.onesOrdinals_="primera segunda tercera cuarta quinta sexta s\u00e9ptima octava novena d\u00e9cima und\u00e9cima duod\u00e9cima".split(" ");
+sre.Numbers.es.tensOrdinals_="d\u00e9cima vig\u00e9sima trig\u00e9sima cuadrag\u00e9sima quincuag\u00e9sima sexag\u00e9sima septuag\u00e9sima octog\u00e9sima nonag\u00e9sima".split(" ");sre.Numbers.es.hundredsOrdinals_="cent\u00e9sima ducent\u00e9sima tricent\u00e9sima cuadringent\u00e9sima quingent\u00e9sima sexcent\u00e9sima septingent\u00e9sima octingent\u00e9sima noningent\u00e9sima".split(" ");
+sre.Numbers.es.numberToOrdinal=function(a,b){if(1999<a)return a.toString()+"a";if(12>=a)return sre.Numbers.es.onesOrdinals_[a-1];b=[];1E3<=a&&(a-=1E3,b.push("mil\u00e9sima"));if(!a)return b.join(" ");var c=Math.floor(a/100);0<c&&(b.push(sre.Numbers.es.hundredsOrdinals_[c-1]),a%=100);12>=a?b.push(sre.Numbers.es.onesOrdinals_[a-1]):(c=Math.floor(a/10),0<c&&(b.push(sre.Numbers.es.tensOrdinals_[c-1]),a%=10),0<a&&b.push(sre.Numbers.es.onesOrdinals_[a-1]));return b.join(" ")};
+sre.Numbers.es.simpleOrdinal=function(a){var b=sre.Grammar.getInstance().getParameter("gender");return a.toString()+("female"===b?"a":"o")};sre.Numbers.es.NUMBERS={simpleOrdinal:sre.Numbers.es.simpleOrdinal,numberToWords:sre.Numbers.es.numberToWords,numberToOrdinal:sre.Numbers.es.numberToOrdinal,vulgarSep:"-"};var sansserifCombiner=function(a,b,c){a="sans serif "+(c?c+" "+a:a);return b?a+" "+b:a};
+sre.Locale.es={MS:{START:"empezar",FRAC_V:"fracci\u00f3n",FRAC_B:"frac",FRAC_S:"frac",END:"finalizar",FRAC_OVER:"entre",TWICE:"",NEST_FRAC:"",ENDFRAC:"",SUPER:"super",SUB:"sub",SUP:"sup",SUPERSCRIPT:"super\u00edndice",SUBSCRIPT:"sub\u00edndice",BASELINE:"l\u00ednea base",BASE:"",NESTED:"",NEST_ROOT:"",STARTROOT:"empezar ra\u00edz",ENDROOT:"finalizar ra\u00edz",ROOTINDEX:"\u00edndice de ra\u00edz",ROOT:"ra\u00edz",INDEX:"",UNDER:"bajo",UNDERSCRIPT:"bajo\u00edndice",OVER:"sobre",OVERSCRIPT:"sobre\u00edndice"},
+MS_FUNC:{FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:function(a){return""},COMBINE_ROOT_INDEX:sre.Locale.combinePostfixIndex,COMBINE_NESTED_FRACTION:function(a,b,c){return a+b+c},COMBINE_NESTED_RADICAL:function(a,b,c){return a+c},FONT_REGEXP:function(a){return RegExp("^"+a+" ")}},MS_ROOT_INDEX:{2:"cuadrada",3:"c\u00fabica",4:"a la cuarta",5:"a la quinta",6:"a la sexta",7:"a la s\u00e9ptima",8:"a la octava",9:"a la novena",10:"a la d\u00e9cima"},FONT:{bold:"negrita","bold-fraktur":"negrita Fraktur",
+"bold-italic":"negrita cursiva","bold-script":"negrita script",caligraphic:"caligr\u00e1fica","caligraphic-bold":"caligr\u00e1fica negrita","double-struck":"negrita de pizarra","double-struck-italic":"negrita de pizarra cursiva",fraktur:"Fraktur",fullwidth:"ancho completo",italic:"cursiva",monospace:"monoespacio",normal:"normal",oldstyle:"estilo antiguo","oldstyle-bold":"estilo antiguo negrita",script:"script","sans-serif":"sans serif","sans-serif-italic":"sans serif cursiva","sans-serif-bold":"sans serif negrita",
+"sans-serif-bold-italic":"sans serif negrita cursiva",unknown:"desconocida"},ROLE:{addition:"adici\u00f3n",multiplication:"multiplicaci\u00f3n",subtraction:"resta",division:"divisi\u00f3n",equality:"igualdad",inequality:"desigualdad",element:"elemento",arrow:"flecha",determinant:"determinante",rowvector:"fila vector",binomial:"binomial",squarematrix:"matriz cuadrada",multiline:"l\u00edneas m\u00faltiples",matrix:"matriz",vector:"vector",cases:"declaraci\u00f3n de caso",table:"mesa",unknown:"desconocida"},
+ENCLOSE:{longdiv:"divisi\u00f3n larga",actuarial:"s\u00edmbolo actuarial",radical:"ra\u00edz cuadrada",box:"caja",roundedbox:"caja redondeada",circle:"c\u00edrculo",left:"barra vertical izquierda",right:"barra vertical derecha",top:"barra",bottom:"subbarra",updiagonalstrike:"tachadura",downdiagonalstrike:"tachadura",verticalstrike:"ponchado vertical",horizontalstrike:"cruce",madruwb:"s\u00edmbolo factorial \u00e1rabe",updiagonalarrow:"flecha diagonal",phasorangle:"\u00e1ngulo de fasores",unknown:"divisi\u00f3n larga"},
+EMBELLISH:{"super":"super\u00edndice",sub:"sub\u00edndice",circled:["en circulo",sre.Locale.postfixCombiner],parenthesized:["entre par\u00e9ntesis",sre.Locale.postfixCombiner],period:["punto",sre.Locale.postfixCombiner],"negative-circled":["en circulo negro",sre.Locale.postfixCombiner],"double-circled":["en doble circulo",sre.Locale.postfixCombiner],"circled-sans-serif":["en circulo",sansserifCombiner],"negative-circled-sans-serif":["en circulo negro",sansserifCombiner],comma:["coma",sre.Locale.postfixCombiner],
+squared:["en cuadrado",sre.Locale.postfixCombiner],"negative-squared":["en cuadrado negro",sre.Locale.postfixCombiner]},NAVIGATE:{COLLAPSIBLE:"plegable",EXPANDABLE:"ampliable",LEVEL:"nivel"},REGEXP:{TEXT:"a-zA-Z\u00e1\u00e9\u00ed\u00f3\u00fa\u00f1\u00c1\u00c9\u00cd\u00d3\u00da\u00d1",NUMBER:"((\\d{1,3})(?=( ))(( )\\d{3})*(,\\d+)?)|^\\d*,\\d+|^\\d+",DECIMAL_MARK:",",DIGIT_GROUP:"",JOINER_SUBSUPER:" ",JOINER_FRAC:" "},PLURAL_UNIT:{},PLURAL:function(a){return/.*s$/.test(a)?a:a+"s"},NUMBERS:sre.Numbers.es.NUMBERS,
+ALPHABETS:{latinSmall:"abcdefghijklmnopqrstuvwxyz".split(""),latinCap:"ABCDEFGHIJKLMNOPQRSTUVWXYZ".split(""),greekSmall:"nabla;alfa;beta;gamma;delta;\u00e9psilon;zeta;eta;theta;iota;kappa;lambda;mi;ni;xi;\u00f3micron;pi;rho;sigma final;sigma;tau;\u00edpsilon;phi;ji;psi;omega;diferencial parcial;\u00e9psilon;theta;kappa;phi;rho;pi".split(";"),greekCap:"Alfa Beta Gamma Delta \u00c9psilon Zeta Eta Theta Iota Kappa Lambda Mi Ni Xi \u00d3micron Pi Rho Theta Sigma Tau \u00cdpsilon Phi Ji Psi Omega".split(" ")},
+ALPHABET_TRANSFORMERS:{digit:{default:function(a){return 0===a?"cero":sre.Numbers.es.numberToWords(a)},mathspeak:function(a){return a.toString()},clearspeak:function(a){return a.toString()}},letter:{default:function(a){return a}}},ALPHABET_PREFIXES:{capPrefix:{default:"may\u00fascula"},smallPrefix:{default:""},digitPrefix:{default:""}},ALPHABET_COMBINER:sre.Locale.prefixCombiner,UNIT_TIMES:"por"};sre.Numbers.fr={};sre.Numbers.fr.SUB_ISO="fr";sre.Numbers.fr.onesNumbers_=" un deux trois quatre cinq six sept huit neuf dix onze douze treize quatorze quinze seize dix-sept dix-huit dix-neuf".split(" ");sre.Numbers.fr.tensNumbers_={fr:"  vingt trente quarante cinquante soixante soixante-dix quatre-vingts quatre-vingt-dix".split(" "),be:"  vingt trente quarante cinquante soixante septante quatre-vingts nonante".split(" "),sw:"  vingt trente quarante cinquante soixante septante huitante nonante".split(" ")};
+sre.Numbers.fr.largeNumbers_=";mille;millions;milliards;billions;mille billions;trillions;mille trillions;quadrillions;mille quadrillions;quintillions;mille quintillions".split(";");
+sre.Numbers.fr.hundredsToWords_=function(a){var b=a%1E3;a=sre.Numbers.fr.onesNumbers_[Math.floor(b/100)]?sre.Numbers.fr.onesNumbers_[Math.floor(b/100)]+"-cent":"";if(b%=100){a+=a?"-":"";var c=sre.Numbers.fr.onesNumbers_[b];if(c)a+=c;else{var d=sre.Numbers.fr.tensNumbers_[sre.Numbers.fr.SUB_ISO][Math.floor(b/10)];d.match(/\-dix$/)?(c=sre.Numbers.fr.onesNumbers_[b%10+10],a+=d.replace(/\-dix$/,"")+"-"+c):a+=d+(b%10?"-"+sre.Numbers.fr.onesNumbers_[b%10]:"")}}return(b=a.match(/s\-\w+$/))?a.replace(/s\-\w+$/,
+b[0].slice(1)):a.replace(/\-un$/,"-et-un")};
+sre.Numbers.fr.numberToWords=function(a){if(a>=Math.pow(10,36))return a.toString();for(var b=0,c="";0<a;){var d=a%1E3;if(d){var e=sre.Numbers.fr.largeNumbers_[b],f=sre.Numbers.fr.hundredsToWords_(d);e&&e.match(/^mille /)?(d=e.replace(/^mille /,""),c=c.match(RegExp(d))?f+(b?"-mille-":"")+c:c.match(RegExp(d.replace(/s$/,"")))?f+(b?"-mille-":"")+c.replace(d.replace(/s$/,""),d):f+(b?"-"+e+"-":"")+c):(e=1===d&&e?e.replace(/s$/,""):e,c=f+(b?"-"+e+"-":"")+c)}a=Math.floor(a/1E3);b++}return c.replace(/-$/,
+"")};sre.Numbers.fr.SMALL_ORDINAL={1:"uni\u00e8me",2:"demi",3:"tiers",4:"quart"};sre.Numbers.fr.numberToOrdinal=function(a,b){var c=sre.Numbers.fr.SMALL_ORDINAL[a]||sre.Numbers.fr.wordOrdinal(a);return 3===a?c:b?c+"s":c};sre.Numbers.fr.wordOrdinal=function(a){if(1===a)return"premi\u00e8re";a=sre.Numbers.fr.numberToWords(a);a.match(/^neuf$/)?a=a.slice(0,-1)+"v":a.match(/cinq$/)?a+="u":a.match(/trois$/)||!a.match(/e$/)&&!a.match(/s$/)||(a=a.slice(0,-1));return a+"i\u00e8me"};
+sre.Numbers.fr.simpleOrdinal=function(a){var b=sre.Grammar.getInstance().getParameter("gender");return 1===a?a.toString()+("male"===b?"er":"re"):a.toString()+"e"};sre.Numbers.fr.NUMBERS={wordOrdinal:sre.Numbers.fr.wordOrdinal,simpleOrdinal:sre.Numbers.fr.simpleOrdinal,numberToWords:sre.Numbers.fr.numberToWords,numberToOrdinal:sre.Numbers.fr.numberToOrdinal,vulgarSep:"-"};sre.Locale.fr={MS:{START:"d\u00e9but",FRAC_V:"fraction",FRAC_B:"frac",FRAC_S:"frac",END:"fin",FRAC_OVER:"sur",ONCE:"1",TWICE:"2",NEST_FRAC:"imbriqu\u00e9e",ENDFRAC:"fin frac",SUPER:"sup",SUB:"sub",SUP:"sup",SUPERSCRIPT:"exposant",SUBSCRIPT:"indice",BASELINE:"position de base",BASE:"position de base",NESTED:"imbriqu\u00e9e",NEST_ROOT:"imbriqu\u00e9e",STARTROOT:"d\u00e9but racine",ENDROOT:"fin racine",ROOTINDEX:"indice du radical",ROOT:"racine",INDEX:"indice",UNDER:"sous",UNDERSCRIPT:"souscript",OVER:"sus",
+OVERSCRIPT:"suscript"},MS_FUNC:{FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:sre.Locale.nestingToString,COMBINE_ROOT_INDEX:sre.Locale.combinePostfixIndex,COMBINE_NESTED_FRACTION:function(a,b,c){return c.replace(/ $/g,"")+b+a},COMBINE_NESTED_RADICAL:function(a,b,c){return c+" "+a},FONT_REGEXP:function(a){return RegExp(" (en |)"+a+"$")}},MS_ROOT_INDEX:{2:"carr\u00e9e",3:"cubique"},FONT:{bold:"en gras","bold-fraktur":"en gothique gras","bold-italic":"en italique gras","bold-script":"de ronde en gras",
+caligraphic:"en calligraphique","caligraphic-bold":"en calligraphique gras","double-struck":"ajour\u00e9","double-struck-italic":"ajour\u00e9 en italique",fraktur:"en gothique",fullwidth:"en pleine largeur",italic:"en italique",monospace:"en chasse fixe",normal:"en normal",oldstyle:"en ancien","oldstyle-bold":"en ancien gras",script:"de ronde","sans-serif":"sans empattement","sans-serif-italic":"en italique sans empattement","sans-serif-bold":"en gras sans empattement","sans-serif-bold-italic":"en italique gras sans empattement",
+unknown:"inconnu"},EMBELLISH:{"super":["exposant",sre.Locale.prefixCombiner],sub:["indice",sre.Locale.prefixCombiner],circled:"encercl\u00e9",parenthesized:"entre parenth\u00e8ses",period:"un point","negative-circled":"encercl\u00e9 noir","double-circled":"encercl\u00e9 double","circled-sans-serif":"sans empattement encercl\u00e9","negative-circled-sans-serif":"sans empattement encercl\u00e9 noir",comma:"virgule",squared:"encadr\u00e9","negative-squared":"encadr\u00e9 inverse"},ROLE:{addition:"addition",
+multiplication:"multiplication",subtraction:"soustraction",division:"division",equality:"\u00e9galit\u00e9",inequality:"in\u00e9galit\u00e9",element:"\u00e9l\u00e9ment",arrow:"fl\u00e8che",determinant:"d\u00e9terminant",rowvector:"vecteur-rang\u00e9e",binomial:"binomial",squarematrix:"matrice carr\u00e9e","set empty":"ensemble vide","set extended":"extension","set singleton":"singleton","set collection":"collection",label:"\u00e9tiquette",multiline:"multi-ligne",matrix:"matrice",vector:"vecteur",
+cases:"d\u00e9claration de cas",table:"tableau",unknown:"inconnu"},ENCLOSE:{longdiv:"longue division",actuarial:"notation actuarielle",radical:"radical",box:"bo\u00eete",roundedbox:"bo\u00eete arrondie",circle:"cercle",left:"barre verticale gauche",right:"barre verticale droite",top:"trait suscrit",bottom:"trait souscrit",updiagonalstrike:"texte biff\u00e9 diagonal montant",downdiagonalstrike:"texte biff\u00e9 diagonal descendant",verticalstrike:"texte biff\u00e9 vertical",horizontalstrike:"texte biff\u00e9 horizontal",
+madruwb:"symbole factorielle arabe",updiagonalarrow:"fl\u00e8che diagonale montante",phasorangle:"angle de phase",unknown:"division longue"},NAVIGATE:{COLLAPSIBLE:"compressible",EXPANDABLE:"d\u00e9compressible",LEVEL:"niveau"},REGEXP:{TEXT:"a-zA-Z\u00e0\u00e2\u00e6\u00e7\u00e9\u00e8\u00ea\u00eb\u00ee\u00ef\u00f4\u0153\u00f9\u00fb\u00fc\u00ff\u00c0\u00c2\u00c6\u00c7\u00c9\u00c8\u00ca\u00cb\u00ce\u00cf\u00d4\u0152\u00d9\u00db\u00dc\u0178",NUMBER:"((\\d{1,3})(?=( ))(( )\\d{3})*(,\\d+)?)|^\\d*,\\d+|^\\d+",
+DECIMAL_MARK:",",DIGIT_GROUP:"",JOINER_SUBSUPER:"-",JOINER_FRAC:" "},PLURAL_UNIT:{foot:"feet",inch:"inches"},NUMBERS:sre.Numbers.fr.NUMBERS,ALPHABETS:{latinSmall:"abcdefghijklmnopqrstuvwxyz".split(""),latinCap:"ABCDEFGHIJKLMNOPQRSTUVWXYZ".split(""),greekSmall:"nabla;alpha;b\u00eata;gamma;delta;epsilon;z\u00eata;\u00eata;th\u00eata;iota;kappa;lambda;m\u00fb;n\u00fb;xi;omicron;pi;rh\u00f4;sigma final;sigma;tau;upsilon;phi;chi;psi;om\u00e9ga;d\u00e9riv\u00e9e partielle;epsilon;th\u00eata;kappa;phi;rh\u00f4;pi".split(";"),
+greekCap:"Alpha B\u00eata Gamma Delta Epsilon Z\u00eata \u00cata Th\u00eata Iota Kappa Lambda M\u00fb N\u00fb Xi Omicron Pi Rh\u00f4 Th\u00eata Sigma Tau Upsilon Phi Chi Psi Om\u00e9ga".split(" ")},ALPHABET_TRANSFORMERS:{digit:{default:function(a){return 0===a?"zero":sre.Numbers.fr.numberToWords(a)},mathspeak:function(a){return a.toString()},clearspeak:function(a){return a.toString()}},letter:{default:function(a){return a}}},ALPHABET_PREFIXES:{capPrefix:{default:"majuscule"},smallPrefix:{default:""},
+digitPrefix:{default:""}},ALPHABET_COMBINER:function(a,b,c){a=c?a+" "+c:a;return b?a+" "+b:a}};sre.Numbers.nemeth={};sre.Numbers.nemeth.oneNumbers_="\u2834\u2802\u2806\u2812\u2832\u2822\u2816\u2836\u2826\u2814".split("");sre.Numbers.nemeth.numberToWords=function(a){return a.toString().split("").map(function(b){return sre.Numbers.nemeth.oneNumbers_[parseInt(b,10)]}).join("")};sre.Numbers.nemeth.NUMBERS={numberToWords:sre.Numbers.nemeth.numberToWords,simpleOrdinal:sre.Numbers.nemeth.numberToWords};var postfixCombiner=function(a,b,c){return b?a+b:a},embellishCombiner=function(a,b,c){return b+(c?c:"\u2830")+a+"\u283b"},doubleEmbellishCombiner=function(a,b,c){return b+(c?c:"\u2830")+a+"\u283b\u283b"},parensCombiner=function(a,b,c){return b+(c?c:"\u2830")+a+"\u283e"};
+sre.Locale.nemeth={MS:{FRACTION_REPEAT:"\u2820",FRACTION_START:"\u2839",FRAC_V:"\u2839",FRAC_B:"Frac",FRAC_S:"Frac",END:"\u2820",FRACTION_OVER:"\u280c",TWICE:"Twice",NEST_FRAC:"Nest",ENDFRAC:"\u283c",FRACTION_END:"\u283c",SUPER:"\u2818",SUB:"\u2830",SUP:"\u2818",SUPERSCRIPT:"\u2818",SUBSCRIPT:"\u2830",BASELINE:"\u2810",BASE:"\u2810",NESTED:"\u2828",NEST_ROOT:"Nest",STARTROOT:"\u281c",ENDROOT:"\u283b",ROOTINDEX:"\u2823",ROOT:"\u2828",INDEX:"\u2823",UNDER:"\u2829",UNDERSCRIPT:"\u2829",OVER:"\u2823",
+OVERSCRIPT:"\u2823"},MS_FUNC:{FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:function(a){return""},COMBINE_ROOT_INDEX:function(a,b){return a},FONT_REGEXP:function(a){return RegExp("^"+a)}},MS_ROOT_INDEX:{},FONT:{bold:"\u2838","bold-fraktur":"\u2838\u2800\u2838","bold-italic":"\u2838\u2828","bold-script":"\u2838\u2808",caligraphic:"\u2808","caligraphic-bold":"\u2808\u2838","double-struck":"\u2838","double-struck-italic":"\u2838\u2828",fraktur:"\u2838",italic:"\u2828",monospace:"",normal:"",
+oldstyle:"","oldstyle-bold":"\u2838",script:"\u2808","sans-serif":"\u2820\u2828","sans-serif-italic":"\u2820\u2828\u2828","sans-serif-bold":"\u2820\u2828\u2838","sans-serif-bold-italic":"\u2820\u2828\u2838\u2828",unknown:""},EMBELLISH:{"super":"\u2818",sub:"\u2830",circled:["\u282b\u2809\u2838\u282b",embellishCombiner],parenthesized:["\u2837",parensCombiner],period:["\u2838\u2832",postfixCombiner],"negative-circled":["\u282b\u2838\u2809\u2838\u282b",embellishCombiner],"double-circled":["\u282b\u2809\u2838\u282b\u282b\u2809\u2838\u282b",
+doubleEmbellishCombiner],"circled-sans-serif":["\u282b\u2809\u2838\u282b\u2820\u2828",embellishCombiner],"negative-circled-sans-serif":["\u282b\u2838\u2809\u2838\u282b\u2820\u2828",embellishCombiner],comma:["\u2820",postfixCombiner],squared:["\u282b\u2832\u2838\u282b",embellishCombiner],"negative-squared":["\u282b\u2838\u2832\u2838\u282b",embellishCombiner]},ROLE:{addition:"addition",multiplication:"multiplication",subtraction:"subtraction",division:"division",equality:"equality",inequality:"inequality",
+element:"element",arrow:"arrow",determinant:"determinant",rowvector:"row vector",binomial:"binomial",squarematrix:"square matrix",multiline:"multiple lines",matrix:"matrix",vector:"vector",cases:"case statement",table:"table",unknown:"unknown"},ENCLOSE:{longdiv:"long division",actuarial:"actuarial symbol",radical:"square root",box:"box",roundedbox:"rounded box",circle:"circle",left:"left vertical-line",right:"right vertical-line",top:"overbar",bottom:"underbar",updiagonalstrike:"crossout",downdiagonalstrike:"crossout",
+verticalstrike:"vertical strikeout",horizontalstrike:"crossout",madruwb:"Arabic factorial symbol",updiagonalarrow:"diagonal arrow",phasorangle:"phasor angle",unknown:"long division"},REGEXP:{TEXT:"a-zA-Z",NUMBER:"((\\d{1,3})(?=(,| ))((,| )\\d{3})*(\\.\\d+)?)|^\\d*\\.\\d+|^\\d+",DECIMAL_MARK:".",DIGIT_GROUP:",",JOINER_SUBSUPER:"",JOINER_FRAC:""},NAVIGATE:{COLLAPSIBLE:"collapsible",EXPANDABLE:"expandable",LEVEL:"Level"},NUMBERS:sre.Numbers.nemeth.NUMBERS,ALPHABETS:{latinSmall:"\u2801\u2803\u2809\u2819\u2811\u280b\u281b\u2813\u280a\u281a\u2805\u2807\u280d\u281d\u2815\u280f\u281f\u2817\u280e\u281e\u2825\u2827\u283a\u282d\u283d\u2835".split(""),
+latinCap:"\u2820\u2801 \u2820\u2803 \u2820\u2809 \u2820\u2819 \u2820\u2811 \u2820\u280b \u2820\u281b \u2820\u2813 \u2820\u280a \u2820\u281a \u2820\u2805 \u2820\u2807 \u2820\u280d \u2820\u281d \u2820\u2815 \u2820\u280f \u2820\u281f \u2820\u2817 \u2820\u280e \u2820\u281e \u2820\u2825 \u2820\u2827 \u2820\u283a \u2820\u282d \u2820\u283d \u2820\u2835".split(" "),greekSmall:"\u2828\u282b \u2828\u2801 \u2828\u2803 \u2828\u281b \u2828\u2819 \u2828\u2811 \u2828\u2831 \u2828\u2826 \u2828\u2839 \u2828\u280a \u2828\u2805 \u2828\u2807 \u2828\u280d \u2828\u281d \u2828\u282d \u2828\u2815 \u2828\u280f \u2828\u2817 \u2828\u2812 \u2828\u280e \u2828\u281e \u2828\u2825 \u2828\u280b \u2828\u282f \u2828\u2813 \u2828\u2815 \u2808\u2819 \u2828\u2811 \u2828\u2839 \u2828\u2805 \u2828\u280b \u2828\u2817 \u2828\u280f".split(" "),
+greekCap:"\u2828\u2820\u2801 \u2828\u2820\u2803 \u2828\u2820\u281b \u2828\u2820\u2819 \u2828\u2820\u2811 \u2828\u2820\u2831 \u2828\u2820\u2823 \u2828\u2820\u2839 \u2828\u2820\u280a \u2828\u2820\u2805 \u2828\u2820\u2807 \u2828\u2820\u280d \u2828\u2820\u281d \u2828\u2820\u282d \u2828\u2820\u2815 \u2828\u2820\u280f \u2828\u2820\u2817 \u2828\u2820\u2839 \u2828\u2820\u280e \u2828\u2820\u2825 \u2828\u2820\u2825 \u2828\u2820\u280b \u2828\u2820\u282f \u2828\u2820\u282b \u2828\u2820\u283a".split(" ")},ALPHABET_TRANSFORMERS:{digit:{default:sre.Numbers.nemeth.numberToWords},
+letter:{default:function(a){return a}}},ALPHABET_PREFIXES:{capPrefix:{default:""},smallPrefix:{default:""},digitPrefix:{default:"\u283c"}},ALPHABET_COMBINER:function(a,b,c){return b?b+a:a}};sre.L10n={};sre.L10n.setLocale=function(){var a=sre.L10n.getLocale();if(a)for(var b in a)sre.Messages[b]=a[b]};sre.L10n.getLocale=function(){var a=sre.Engine.getInstance().locale;-1===sre.Variables.LOCALES.indexOf(a)&&(console.error("Locale "+a+" does not exist! Using en instead."),sre.Engine.getInstance().locale="en");return sre.Locale[sre.Engine.getInstance().locale]||sre.Locale.en};sre.EnrichCase=function(){};sre.EnrichCase.prototype.getMathml=function(){};sre.AbstractEnrichCase=function(a){this.semantic=a};sre.AbstractEnrichCase.prototype.getMathml=goog.abstractMethod;sre.EnrichCaseFactory=function(){};sre.EnrichCaseFactory.cases=[];sre.EnrichCaseFactory.getCase=function(a){for(var b=0,c;c=sre.EnrichCaseFactory.cases[b];b++)if(c.test(a))return new c.constr(a);return null};sre.SemanticSkeleton=function(a){this.array=a=0===a?a:a||[];this.levelsMap=this.parents=null};sre.SemanticSkeleton.prototype.populate=function(){this.parents&&this.levelsMap||(this.parents={},this.levelsMap={},this.populate_(this.array,this.array,[]))};
 sre.SemanticSkeleton.prototype.populate_=function(a,b,c){if(sre.SemanticSkeleton.simpleCollapseStructure(a))this.levelsMap[a]=b,this.parents[a]=a===c[0]?c.slice(1):c;else{b=sre.SemanticSkeleton.contentCollapseStructure(a)?a.slice(1):a;c=[b[0]].concat(c);for(var d=0,e=b.length;d<e;d++)this.populate_(b[d],a,c)}};sre.SemanticSkeleton.prototype.toString=function(){return sre.SemanticSkeleton.makeSexp_(this.array)};
 sre.SemanticSkeleton.makeSexp_=function(a){return sre.SemanticSkeleton.simpleCollapseStructure(a)?a.toString():sre.SemanticSkeleton.contentCollapseStructure(a)?"(c "+a.slice(1).map(sre.SemanticSkeleton.makeSexp_).join(" ")+")":"("+a.map(sre.SemanticSkeleton.makeSexp_).join(" ")+")"};sre.SemanticSkeleton.fromTree=function(a){return sre.SemanticSkeleton.fromNode(a.root)};sre.SemanticSkeleton.fromNode=function(a){return new sre.SemanticSkeleton(sre.SemanticSkeleton.fromNode_(a))};
 sre.SemanticSkeleton.fromString=function(a){return new sre.SemanticSkeleton(sre.SemanticSkeleton.fromString_(a))};sre.SemanticSkeleton.fromString_=function(a){a=a.replace(/\(/g,"[");a=a.replace(/\)/g,"]");a=a.replace(/ /g,",");a=a.replace(/c/g,'"c"');return JSON.parse(a)};
 sre.SemanticSkeleton.fromNode_=function(a){if(!a)return[];var b=a.contentNodes;if(b.length){var c=b.map(sre.SemanticSkeleton.fromNode_);c.unshift("c")}var d=a.childNodes;if(!d.length)return b.length?[a.id,c]:a.id;d=d.map(sre.SemanticSkeleton.fromNode_);b.length&&d.unshift(c);d.unshift(a.id);return d};sre.SemanticSkeleton.simpleCollapseStructure=function(a){return"number"===typeof a};
 sre.SemanticSkeleton.contentCollapseStructure=function(a){return!!a&&!sre.SemanticSkeleton.simpleCollapseStructure(a)&&"c"===a[0]};sre.SemanticSkeleton.interleaveIds=function(a,b){return sre.BaseUtil.interleaveLists(sre.SemanticSkeleton.collapsedLeafs(a),sre.SemanticSkeleton.collapsedLeafs(b))};
-sre.SemanticSkeleton.collapsedLeafs=function(a){var b=function(a){return sre.SemanticSkeleton.simpleCollapseStructure(a)?[a]:sre.SemanticSkeleton.contentCollapseStructure(a[1])?a.slice(2):a.slice(1)};return Array.prototype.slice.call(arguments,0).reduce(function(a,d){return a.concat(b(d))},[])};sre.SemanticSkeleton.fromStructure=function(a){return new sre.SemanticSkeleton(sre.SemanticSkeleton.tree_(a.root))};
-sre.SemanticSkeleton.tree_=function(a){if(!a)return[];if(!a.childNodes.length)return a.id;var b=[a.id];a=sre.SemanticSkeleton.combineContentChildren(a,a.contentNodes.map(function(a){return a}),a.childNodes.map(function(a){return a}));for(var c=0,d;d=a[c];c++)b.push(sre.SemanticSkeleton.tree_(d));return b};
+sre.SemanticSkeleton.collapsedLeafs=function(a){var b=function(c){return sre.SemanticSkeleton.simpleCollapseStructure(c)?[c]:sre.SemanticSkeleton.contentCollapseStructure(c[1])?c.slice(2):c.slice(1)};return Array.prototype.slice.call(arguments,0).reduce(function(c,d){return c.concat(b(d))},[])};sre.SemanticSkeleton.fromStructure=function(a,b){return new sre.SemanticSkeleton(sre.SemanticSkeleton.tree_(a,b.root))};
+sre.SemanticSkeleton.tree_=function(a,b){if(!b)return[];if(!b.childNodes.length)return b.id;var c=b.id,d=[c];c=sre.XpathUtil.evalXPath(".//self::*[@"+sre.EnrichMathml.Attribute.ID+"="+c+"]",a)[0];b=sre.SemanticSkeleton.combineContentChildren(b,b.contentNodes.map(function(f){return f}),b.childNodes.map(function(f){return f}));c&&c.setAttribute(sre.EnrichMathml.Attribute.OWNS,b.map(function(f){return f.id}).join(" "));c=0;for(var e;e=b[c];c++)d.push(sre.SemanticSkeleton.tree_(a,e));return d};
 sre.SemanticSkeleton.combineContentChildren=function(a,b,c){switch(a.type){case sre.Semantic.Type.RELSEQ:case sre.Semantic.Type.INFIXOP:case sre.Semantic.Type.MULTIREL:return sre.BaseUtil.interleaveLists(c,b);case sre.Semantic.Type.PREFIXOP:return b.concat(c);case sre.Semantic.Type.POSTFIXOP:return c.concat(b);case sre.Semantic.Type.FENCED:return c.unshift(b[0]),c.push(b[1]),c;case sre.Semantic.Type.APPL:return[c[0],b[0],c[1]];case sre.Semantic.Type.ROOT:return[c[1],c[0]];case sre.Semantic.Type.ROW:case sre.Semantic.Type.LINE:return b.length&&
 c.unshift(b[0]),c;default:return c}};sre.EnrichMathml={};sre.EnrichMathml.Error=function(a){Error.call(this);this.message=a||"";this.name="MathML Enrichment Error"};goog.inherits(sre.EnrichMathml.Error,Error);sre.EnrichMathml.SETTINGS={collapsed:!0,implicit:!0};sre.EnrichMathml.ATTRIBUTE_PREFIX_="data-semantic-";
 sre.EnrichMathml.Attribute={ADDED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"added",ALTERNATIVE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"alternative",CHILDREN:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"children",COLLAPSED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"collapsed",CONTENT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"content",EMBELLISHED:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"embellished",FENCEPOINTER:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"fencepointer",FONT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"font",ID:sre.EnrichMathml.ATTRIBUTE_PREFIX_+
-"id",OPERATOR:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"operator",PARENT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"parent",PREFIX:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"prefix",ROLE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"role",SPEECH:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"speech",STRUCTURE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"structure",TYPE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"type"};
-sre.EnrichMathml.enrich=function(a,b){var c=a.cloneNode(!0);sre.EnrichMathml.walkTree(b.root);sre.Engine.getInstance().structure&&a.setAttribute(sre.EnrichMathml.Attribute.STRUCTURE,sre.SemanticSkeleton.fromStructure(b).toString());sre.Debugger.getInstance().generateOutput(function(){sre.EnrichMathml.formattedOutput(c,a,b,!0);return[]});return a};
+"id",ANNOTATION:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"annotation",OPERATOR:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"operator",OWNS:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"owns",PARENT:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"parent",PREFIX:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"prefix",ROLE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"role",SPEECH:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"speech",STRUCTURE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"structure",TYPE:sre.EnrichMathml.ATTRIBUTE_PREFIX_+"type"};
+sre.EnrichMathml.enrich=function(a,b){var c=a.cloneNode(!0);sre.EnrichMathml.walkTree(b.root);sre.Engine.getInstance().structure&&a.setAttribute(sre.EnrichMathml.Attribute.STRUCTURE,sre.SemanticSkeleton.fromStructure(a,b).toString());sre.Debugger.getInstance().generateOutput(function(){sre.EnrichMathml.formattedOutput(c,a,b,!0);return[]});return a};
 sre.EnrichMathml.walkTree=function(a){var b=sre.EnrichCaseFactory.getCase(a);if(b)return b=b.getMathml(),sre.EnrichMathml.ascendNewNode(b);if(1===a.mathml.length)return sre.Debugger.getInstance().output("Walktree Case 0"),b=a.mathml[0],sre.EnrichMathml.setAttributes(b,a),sre.EnrichMathml.ascendNewNode(b);b=a.contentNodes.map(sre.EnrichMathml.cloneContentNode);sre.EnrichMathml.setOperatorAttribute_(a,b);var c=a.childNodes.map(sre.EnrichMathml.walkTree);c=sre.SemanticSkeleton.combineContentChildren(a,
 b,c);b=a.mathmlTree;if(null===b)sre.Debugger.getInstance().output("Walktree Case 1"),b=sre.EnrichMathml.introduceNewLayer(c);else{var d=sre.EnrichMathml.attachedElement_(c);sre.Debugger.getInstance().output("Walktree Case 2");d?(sre.Debugger.getInstance().output("Walktree Case 2.1"),b=d.parentNode):(sre.Debugger.getInstance().output("Walktree Case 2.2"),b=sre.EnrichMathml.getInnerNode(b))}b=sre.EnrichMathml.rewriteMfenced(b);sre.EnrichMathml.mergeChildren_(b,c);sre.EnrichMathml.setAttributes(b,a);
 return sre.EnrichMathml.ascendNewNode(b)};
 sre.EnrichMathml.introduceNewLayer=function(a){var b=sre.EnrichMathml.mathmlLca_(a),c=b.node,d=b.type;d===sre.EnrichMathml.lcaType.VALID&&sre.SemanticUtil.hasEmptyTag(c)||(sre.Debugger.getInstance().output("Walktree Case 1.1"),c=sre.DomUtil.createElement("mrow"),d===sre.EnrichMathml.lcaType.PRUNED?(sre.Debugger.getInstance().output("Walktree Case 1.1.0"),c=sre.EnrichMathml.introduceLayerAboveLca(c,b.node,a)):a[0]&&(sre.Debugger.getInstance().output("Walktree Case 1.1.1"),b=sre.EnrichMathml.attachedElement_(a),
-a=sre.EnrichMathml.childrenSubset_(b.parentNode,a),sre.DomUtil.replaceNode(b,c),a.forEach(function(a){c.appendChild(a)})));return c};
-sre.EnrichMathml.introduceLayerAboveLca=function(a,b,c){var d=sre.EnrichMathml.descendNode_(b);if(sre.SemanticUtil.hasMathTag(d)){sre.Debugger.getInstance().output("Walktree Case 1.1.0.0");sre.EnrichMathml.moveSemanticAttributes_(d,a);sre.DomUtil.toArray(d.childNodes).forEach(function(b){a.appendChild(b)});var e=a;a=d;d=e}b=c.indexOf(b);c[b]=d;sre.DomUtil.replaceNode(d,a);a.appendChild(d);c.forEach(function(b){a.appendChild(b)});return a};
-sre.EnrichMathml.moveSemanticAttributes_=function(a,b){for(var c in sre.EnrichMathml.Attribute){var d=sre.EnrichMathml.Attribute[c];a.hasAttribute(d)&&(b.setAttribute(d,a.getAttribute(d)),a.removeAttribute(d))}};sre.EnrichMathml.childrenSubset_=function(a,b){var c=sre.DomUtil.toArray(a.childNodes),d=Infinity,e=-Infinity;b.forEach(function(a){a=c.indexOf(a);-1!==a&&(d=Math.min(d,a),e=Math.max(e,a))});return c.slice(d,e+1)};
-sre.EnrichMathml.mergeChildren_=function(a,b){var c=a.childNodes;if(c.length)for(var d=0;b.length;)c[d]===b[0]||sre.EnrichMathml.functionApplication_(c[d],b[0])?(b.shift(),d++):c[d]&&-1===b.indexOf(c[d])?d++:(sre.EnrichMathml.isDescendant_(b[0],a)||a.insertBefore(b[0],c[d]||null),b.shift());else b.forEach(function(b){a.appendChild(b)})};sre.EnrichMathml.isDescendant_=function(a,b){if(!a)return!1;do if(a=a.parentNode,a===b)return!0;while(a);return!1};
-sre.EnrichMathml.functionApplication_=function(a,b){var c=sre.SemanticAttr.functionApplication();return a&&b&&a.textContent&&b.textContent&&a.textContent===c&&b.textContent===c&&"true"===b.getAttribute(sre.EnrichMathml.Attribute.ADDED)?(sre.DomUtil.replaceNode(a,b),!0):!1};sre.EnrichMathml.lcaType={VALID:"valid",INVALID:"invalid",PRUNED:"pruned"};
-sre.EnrichMathml.mathmlLca_=function(a){var b=sre.EnrichMathml.attachedElement_(a);if(!b)return{type:sre.EnrichMathml.lcaType.INVALID,node:null};var c=sre.EnrichMathml.attachedElement_(a.slice().reverse());if(b===c)return{type:sre.EnrichMathml.lcaType.VALID,node:b};b=sre.EnrichMathml.pathToRoot_(b);var d=sre.EnrichMathml.prunePath_(b,a);a=sre.EnrichMathml.pathToRoot_(c,function(a){return-1!==d.indexOf(a)});c=a[0];var e=d.indexOf(c);return-1===e?{type:sre.EnrichMathml.lcaType.INVALID,node:null}:{type:d.length!==
+a=sre.EnrichMathml.childrenSubset_(b.parentNode,a),sre.DomUtil.replaceNode(b,c),a.forEach(function(e){c.appendChild(e)})));return c};
+sre.EnrichMathml.introduceLayerAboveLca=function(a,b,c){var d=sre.EnrichMathml.descendNode_(b);if(sre.SemanticUtil.hasMathTag(d)){sre.Debugger.getInstance().output("Walktree Case 1.1.0.0");sre.EnrichMathml.moveSemanticAttributes_(d,a);sre.DomUtil.toArray(d.childNodes).forEach(function(f){a.appendChild(f)});var e=a;a=d;d=e}b=c.indexOf(b);c[b]=d;sre.DomUtil.replaceNode(d,a);a.appendChild(d);c.forEach(function(f){a.appendChild(f)});return a};
+sre.EnrichMathml.moveSemanticAttributes_=function(a,b){for(var c in sre.EnrichMathml.Attribute){var d=sre.EnrichMathml.Attribute[c];a.hasAttribute(d)&&(b.setAttribute(d,a.getAttribute(d)),a.removeAttribute(d))}};sre.EnrichMathml.childrenSubset_=function(a,b){var c=sre.DomUtil.toArray(a.childNodes),d=Infinity,e=-Infinity;b.forEach(function(f){f=c.indexOf(f);-1!==f&&(d=Math.min(d,f),e=Math.max(e,f))});return c.slice(d,e+1)};
+sre.EnrichMathml.mergeChildren_=function(a,b){var c=a.childNodes;if(c.length)for(var d=0;b.length;)c[d]===b[0]||sre.EnrichMathml.functionApplication_(c[d],b[0])?(b.shift(),d++):c[d]&&-1===b.indexOf(c[d])?d++:(sre.EnrichMathml.isDescendant_(b[0],a)||a.insertBefore(b[0],c[d]||null),b.shift());else b.forEach(function(e){a.appendChild(e)})};sre.EnrichMathml.isDescendant_=function(a,b){if(!a)return!1;do if(a=a.parentNode,a===b)return!0;while(a);return!1};
+sre.EnrichMathml.functionApplication_=function(a,b){var c=sre.SemanticAttr.functionApplication();if(a&&b&&a.textContent&&b.textContent&&a.textContent===c&&b.textContent===c&&"true"===b.getAttribute(sre.EnrichMathml.Attribute.ADDED)){c=0;for(var d;d=a.attributes[c];c++)b.hasAttribute(d.nodeName)||b.setAttribute(d.nodeName,d.nodeValue);sre.DomUtil.replaceNode(a,b);return!0}return!1};sre.EnrichMathml.lcaType={VALID:"valid",INVALID:"invalid",PRUNED:"pruned"};
+sre.EnrichMathml.mathmlLca_=function(a){var b=sre.EnrichMathml.attachedElement_(a);if(!b)return{type:sre.EnrichMathml.lcaType.INVALID,node:null};var c=sre.EnrichMathml.attachedElement_(a.slice().reverse());if(b===c)return{type:sre.EnrichMathml.lcaType.VALID,node:b};b=sre.EnrichMathml.pathToRoot_(b);var d=sre.EnrichMathml.prunePath_(b,a);a=sre.EnrichMathml.pathToRoot_(c,function(f){return-1!==d.indexOf(f)});c=a[0];var e=d.indexOf(c);return-1===e?{type:sre.EnrichMathml.lcaType.INVALID,node:null}:{type:d.length!==
 b.length?sre.EnrichMathml.lcaType.PRUNED:sre.EnrichMathml.validLca_(d[e+1],a[1])?sre.EnrichMathml.lcaType.VALID:sre.EnrichMathml.lcaType.INVALID,node:c}};sre.EnrichMathml.prunePath_=function(a,b){for(var c=0;a[c]&&-1===b.indexOf(a[c]);)c++;return a.slice(0,c+1)};sre.EnrichMathml.attachedElement_=function(a){for(var b=0,c=null;!c&&b<a.length;)a[b].parentNode&&(c=a[b]),b++;return c};
-sre.EnrichMathml.pathToRoot_=function(a,b){b=b||function(a){return!1};for(var c=[a];!b(a)&&!sre.SemanticUtil.hasMathTag(a)&&a.parentNode;)a=sre.EnrichMathml.parentNode_(a),c.unshift(a);return c};sre.EnrichMathml.validLca_=function(a,b){return!(!a||!b||a.previousSibling||b.nextSibling)};sre.EnrichMathml.ascendNewNode=function(a){for(;!sre.SemanticUtil.hasMathTag(a)&&sre.EnrichMathml.unitChild_(a);)a=sre.EnrichMathml.parentNode_(a);return a};
-sre.EnrichMathml.descendNode_=function(a){var b=sre.DomUtil.toArray(a.childNodes);if(!b)return a;b=b.filter(function(a){return a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE&&!sre.SemanticUtil.hasIgnoreTag(a)});return 1===b.length&&sre.SemanticUtil.hasEmptyTag(b[0])&&!b[0].hasAttribute(sre.EnrichMathml.Attribute.TYPE)?sre.EnrichMathml.descendNode_(b[0]):a};
-sre.EnrichMathml.unitChild_=function(a){var b=sre.EnrichMathml.parentNode_(a);return b&&sre.SemanticUtil.hasEmptyTag(b)?sre.DomUtil.toArray(b.childNodes).every(function(b){return b===a||sre.EnrichMathml.isIgnorable_(b)}):!1};sre.EnrichMathml.isIgnorable_=function(a){if(!a||sre.SemanticUtil.hasIgnoreTag(a))return!0;var b=sre.DomUtil.toArray(a.childNodes);return!sre.SemanticUtil.hasEmptyTag(a)&&b.length?!1:sre.DomUtil.toArray(a.childNodes).every(sre.EnrichMathml.isIgnorable_)};
-sre.EnrichMathml.parentNode_=function(a){return a.parentNode};sre.EnrichMathml.addCollapsedAttribute=function(a,b){b=new sre.SemanticSkeleton(b);a.setAttribute(sre.EnrichMathml.Attribute.COLLAPSED,b.toString())};sre.EnrichMathml.cloneContentNode=function(a){if(a.mathml.length)return sre.EnrichMathml.walkTree(a);var b=sre.EnrichMathml.SETTINGS.implicit?sre.EnrichMathml.createInvisibleOperator_(a):sre.DomUtil.createElement("mrow");a.mathml=[b];return b};sre.EnrichMathml.makeIdList=function(a){return a.map(function(a){return a.id}).join(",")};
-sre.EnrichMathml.setAttributes=function(a,b){a.setAttribute(sre.EnrichMathml.Attribute.TYPE,b.type);a.setAttribute(sre.EnrichMathml.Attribute.ROLE,b.role);b.font!=sre.Semantic.Font.UNKNOWN&&a.setAttribute(sre.EnrichMathml.Attribute.FONT,b.font);a.setAttribute(sre.EnrichMathml.Attribute.ID,b.id);b.childNodes.length&&a.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList(b.childNodes));b.contentNodes.length&&a.setAttribute(sre.EnrichMathml.Attribute.CONTENT,sre.EnrichMathml.makeIdList(b.contentNodes));
-b.parent&&a.setAttribute(sre.EnrichMathml.Attribute.PARENT,b.parent.id);b.embellished&&a.setAttribute(sre.EnrichMathml.Attribute.EMBELLISHED,b.embellished);b.fencePointer&&a.setAttribute(sre.EnrichMathml.Attribute.FENCEPOINTER,b.fencePointer)};
-sre.EnrichMathml.combineContentChildren_=function(a,b,c){switch(a.type){case sre.Semantic.Type.RELSEQ:case sre.Semantic.Type.INFIXOP:case sre.Semantic.Type.MULTIREL:return sre.BaseUtil.interleaveLists(c,b);case sre.Semantic.Type.PREFIXOP:return b.concat(c);case sre.Semantic.Type.POSTFIXOP:return c.concat(b);case sre.Semantic.Type.FENCED:return c.unshift(b[0]),c.push(b[1]),c;case sre.Semantic.Type.APPL:return[c[0],b[0],c[1]];case sre.Semantic.Type.ROOT:return[c[1],c[0]];case sre.Semantic.Type.ROW:case sre.Semantic.Type.LINE:return b.length&&
-c.unshift(b[0]),c;default:return c}};sre.EnrichMathml.rewriteMfenced=function(a){if("MFENCED"!==sre.DomUtil.tagName(a))return a;for(var b=sre.DomUtil.createElement("mrow"),c=0,d;d=a.attributes[c];c++)-1===["open","close","separators"].indexOf(d.name)&&b.setAttribute(d.name,d.value);sre.DomUtil.toArray(a.childNodes).forEach(function(a){b.appendChild(a)});sre.DomUtil.replaceNode(a,b);return b};
-sre.EnrichMathml.createInvisibleOperator_=function(a){var b=sre.DomUtil.createElement("mo"),c=sre.DomUtil.createTextNode(a.textContent);b.appendChild(c);sre.EnrichMathml.setAttributes(b,a);b.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");return b};sre.EnrichMathml.setOperatorAttribute_=function(a,b){var c=a.type+(a.textContent?","+a.textContent:"");b.forEach(function(a){sre.EnrichMathml.getInnerNode(a).setAttribute(sre.EnrichMathml.Attribute.OPERATOR,c)})};
-sre.EnrichMathml.getInnerNode=function(a){var b=sre.DomUtil.toArray(a.childNodes);if(!b)return a;b=b.filter(function(a){return a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE&&!sre.EnrichMathml.isIgnorable_(a)});for(var c=[],d=0,e;e=b[d];d++)if(sre.SemanticUtil.hasEmptyTag(e)){var f=sre.EnrichMathml.getInnerNode(e);f&&f!==e&&c.push(f)}else c.push(e);return 1===c.length?c[0]:a};
-sre.EnrichMathml.formattedOutput=function(a,b,c,d){d=d||!1;sre.EnrichMathml.formattedOutput_(a,"Original MathML",d);sre.EnrichMathml.formattedOutput_(c,"Semantic Tree",d);sre.EnrichMathml.formattedOutput_(b,"Semantically enriched MathML",d)};sre.EnrichMathml.formattedOutput_=function(a,b,c){a=sre.DomUtil.formatXml(a.toString());c?console.log(b+":\n```html\n"+sre.EnrichMathml.removeAttributePrefix(a)+"\n```\n"):console.log(a)};
-sre.EnrichMathml.removeAttributePrefix=function(a){return a.toString().replace(new RegExp(sre.EnrichMathml.ATTRIBUTE_PREFIX_,"g"),"")};sre.EnrichMathml.collapsePunctuated=function(a,b){var c=!!b;b=b||[];var d=a.parent,e=a.contentNodes.map(function(a){return a.id});e.unshift("c");e=[a.id,e];for(var f=0,g;g=a.childNodes[f];f++){var h=sre.EnrichMathml.walkTree(g);b.push(h);h=sre.EnrichMathml.getInnerNode(h);d&&!c&&h.setAttribute(sre.EnrichMathml.Attribute.PARENT,d.id);e.push(g.id)}return e};
-sre.EnrichMathml.printNodeList__=function(a,b){console.log(a);sre.DomUtil.toArray(b).forEach(function(a){console.log(a.toString())});console.log("<<<<<<<<<<<<<<<<<")};sre.CaseBinomial=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseBinomial,sre.AbstractEnrichCase);sre.CaseBinomial.test=function(a){return!a.mathmlTree&&a.type===sre.SemanticAttr.Type.LINE&&a.role===sre.SemanticAttr.Role.BINOMIAL};
+sre.EnrichMathml.pathToRoot_=function(a,b){b=b||function(d){return!1};for(var c=[a];!b(a)&&!sre.SemanticUtil.hasMathTag(a)&&a.parentNode;)a=sre.EnrichMathml.parentNode_(a),c.unshift(a);return c};sre.EnrichMathml.validLca_=function(a,b){return!(!a||!b||a.previousSibling||b.nextSibling)};sre.EnrichMathml.ascendNewNode=function(a){for(;!sre.SemanticUtil.hasMathTag(a)&&sre.EnrichMathml.unitChild_(a);)a=sre.EnrichMathml.parentNode_(a);return a};
+sre.EnrichMathml.descendNode_=function(a){var b=sre.DomUtil.toArray(a.childNodes);if(!b)return a;b=b.filter(function(c){return c.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE&&!sre.SemanticUtil.hasIgnoreTag(c)});return 1===b.length&&sre.SemanticUtil.hasEmptyTag(b[0])&&!b[0].hasAttribute(sre.EnrichMathml.Attribute.TYPE)?sre.EnrichMathml.descendNode_(b[0]):a};
+sre.EnrichMathml.unitChild_=function(a){var b=sre.EnrichMathml.parentNode_(a);return b&&sre.SemanticUtil.hasEmptyTag(b)?sre.DomUtil.toArray(b.childNodes).every(function(c){return c===a||sre.EnrichMathml.isIgnorable_(c)}):!1};sre.EnrichMathml.isIgnorable_=function(a){if(!a||sre.SemanticUtil.hasIgnoreTag(a))return!0;var b=sre.DomUtil.toArray(a.childNodes);return!sre.SemanticUtil.hasEmptyTag(a)&&b.length?!1:sre.DomUtil.toArray(a.childNodes).every(sre.EnrichMathml.isIgnorable_)};
+sre.EnrichMathml.parentNode_=function(a){return a.parentNode};sre.EnrichMathml.addCollapsedAttribute=function(a,b){b=new sre.SemanticSkeleton(b);a.setAttribute(sre.EnrichMathml.Attribute.COLLAPSED,b.toString())};sre.EnrichMathml.cloneContentNode=function(a){if(a.mathml.length)return sre.EnrichMathml.walkTree(a);var b=sre.EnrichMathml.SETTINGS.implicit?sre.EnrichMathml.createInvisibleOperator_(a):sre.DomUtil.createElement("mrow");a.mathml=[b];return b};sre.EnrichMathml.makeIdList=function(a){return a.map(function(b){return b.id}).join(",")};
+sre.EnrichMathml.setAttributes=function(a,b){a.setAttribute(sre.EnrichMathml.Attribute.TYPE,b.type);for(var c=b.allAttributes(),d=0,e;e=c[d];d++)a.setAttribute(sre.EnrichMathml.Attribute[e[0].toUpperCase()],e[1]);b.childNodes.length&&a.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList(b.childNodes));b.contentNodes.length&&a.setAttribute(sre.EnrichMathml.Attribute.CONTENT,sre.EnrichMathml.makeIdList(b.contentNodes));b.parent&&a.setAttribute(sre.EnrichMathml.Attribute.PARENT,
+b.parent.id)};sre.EnrichMathml.rewriteMfenced=function(a){if("MFENCED"!==sre.DomUtil.tagName(a))return a;for(var b=sre.DomUtil.createElement("mrow"),c=0,d;d=a.attributes[c];c++)-1===["open","close","separators"].indexOf(d.name)&&b.setAttribute(d.name,d.value);sre.DomUtil.toArray(a.childNodes).forEach(function(e){b.appendChild(e)});sre.DomUtil.replaceNode(a,b);return b};
+sre.EnrichMathml.createInvisibleOperator_=function(a){var b=sre.DomUtil.createElement("mo"),c=sre.DomUtil.createTextNode(a.textContent);b.appendChild(c);sre.EnrichMathml.setAttributes(b,a);b.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");return b};sre.EnrichMathml.setOperatorAttribute_=function(a,b){var c=a.type+(a.textContent?","+a.textContent:"");b.forEach(function(d){sre.EnrichMathml.getInnerNode(d).setAttribute(sre.EnrichMathml.Attribute.OPERATOR,c)})};
+sre.EnrichMathml.getInnerNode=function(a){var b=sre.DomUtil.toArray(a.childNodes);if(!b)return a;b=b.filter(function(g){return g.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE&&!sre.EnrichMathml.isIgnorable_(g)});for(var c=[],d=0,e;e=b[d];d++)if(sre.SemanticUtil.hasEmptyTag(e)){var f=sre.EnrichMathml.getInnerNode(e);f&&f!==e&&c.push(f)}else c.push(e);return 1===c.length?c[0]:a};
+sre.EnrichMathml.formattedOutput=function(a,b,c,d){d=d||!1;sre.EnrichMathml.formattedOutput_(a,"Original MathML",d);sre.EnrichMathml.formattedOutput_(c,"Semantic Tree",d);sre.EnrichMathml.formattedOutput_(b,"Semantically enriched MathML",d)};sre.EnrichMathml.formattedOutput_=function(a,b,c){a=sre.DomUtil.formatXml(a.toString());c?console.info(b+":\n```html\n"+sre.EnrichMathml.removeAttributePrefix(a)+"\n```\n"):console.info(a)};
+sre.EnrichMathml.removeAttributePrefix=function(a){return a.toString().replace(new RegExp(sre.EnrichMathml.ATTRIBUTE_PREFIX_,"g"),"")};sre.EnrichMathml.addPrefix=function(a){var b=a.toUpperCase();return sre.EnrichMathml.Attribute[b]||sre.EnrichMathml.ATTRIBUTE_PREFIX_+a};
+sre.EnrichMathml.collapsePunctuated=function(a,b){var c=!!b;b=b||[];var d=a.parent,e=a.contentNodes.map(function(k){return k.id});e.unshift("c");e=[a.id,e];for(var f=0,g;g=a.childNodes[f];f++){var h=sre.EnrichMathml.walkTree(g);b.push(h);h=sre.EnrichMathml.getInnerNode(h);d&&!c&&h.setAttribute(sre.EnrichMathml.Attribute.PARENT,d.id);e.push(g.id)}return e};sre.EnrichMathml.printNodeList__=function(a,b){console.info(a);sre.DomUtil.toArray(b).forEach(function(c){console.info(c.toString())});console.info("<<<<<<<<<<<<<<<<<")};sre.CaseBinomial=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseBinomial,sre.AbstractEnrichCase);sre.CaseBinomial.test=function(a){return!a.mathmlTree&&a.type===sre.SemanticAttr.Type.LINE&&a.role===sre.SemanticAttr.Role.BINOMIAL};
 sre.CaseBinomial.prototype.getMathml=function(){if(!this.semantic.childNodes.length)return this.mml;this.mml=sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);if(this.mml.hasAttribute(sre.EnrichMathml.Attribute.TYPE)){var a=sre.DomUtil.createElement("mrow");a.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");sre.DomUtil.replaceNode(this.mml,a);a.appendChild(this.mml);this.mml=a}sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseDoubleScript=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseDoubleScript,sre.AbstractEnrichCase);sre.CaseDoubleScript.test=function(a){if(!a.mathmlTree||!a.childNodes.length)return!1;var b=sre.DomUtil.tagName(a.mathmlTree);a=a.childNodes[0].role;return"MSUBSUP"===b&&a===sre.SemanticAttr.Role.SUBSUP||"MUNDEROVER"===b&&a===sre.SemanticAttr.Role.UNDEROVER};
-sre.CaseDoubleScript.prototype.getMathml=function(){var a=this.semantic.childNodes[0],b=a.childNodes[0],c=this.semantic.childNodes[1],d=a.childNodes[1],e=sre.EnrichMathml.walkTree(c),f=sre.EnrichMathml.walkTree(b),g=sre.EnrichMathml.walkTree(d);sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList([b,d,c]));[f,g,e].forEach(goog.bind(function(a){sre.EnrichMathml.getInnerNode(a).setAttribute(sre.EnrichMathml.Attribute.PARENT,
+sre.CaseDoubleScript.prototype.getMathml=function(){var a=this.semantic.childNodes[0],b=a.childNodes[0],c=this.semantic.childNodes[1],d=a.childNodes[1],e=sre.EnrichMathml.walkTree(c),f=sre.EnrichMathml.walkTree(b),g=sre.EnrichMathml.walkTree(d);sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,sre.EnrichMathml.makeIdList([b,d,c]));[f,g,e].forEach(goog.bind(function(h){sre.EnrichMathml.getInnerNode(h).setAttribute(sre.EnrichMathml.Attribute.PARENT,
 this.mml.getAttribute(sre.EnrichMathml.Attribute.ID))},this));this.mml.setAttribute(sre.EnrichMathml.Attribute.TYPE,a.role);sre.EnrichMathml.addCollapsedAttribute(this.mml,[this.semantic.id,[a.id,b.id,d.id],c.id]);return this.mml};sre.CaseMultiindex=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseMultiindex,sre.AbstractEnrichCase);
-sre.CaseMultiindex.prototype.completeMultiscript=function(a,b){var c=sre.DomUtil.toArray(this.mml.childNodes).slice(1),d=0,e=goog.bind(function(a){for(var b=0,e;e=a[b];b++){var f=c[d];if(f&&e==sre.EnrichMathml.getInnerNode(f).getAttribute(sre.EnrichMathml.Attribute.ID))sre.EnrichMathml.getInnerNode(f).setAttribute(sre.EnrichMathml.Attribute.PARENT,this.semantic.id),d++;else{var l=this.semantic.querySelectorAll(function(a){return a.id===e});this.mml.insertBefore(sre.CaseMultiindex.createNone_(l[0]),
-f||null)}}},this);e(a);c[d]&&"MPRESCRIPTS"!==sre.DomUtil.tagName(c[d])?this.mml.insertBefore(c[d],sre.DomUtil.createElement("mprescripts")):d++;e(b)};sre.CaseMultiindex.createNone_=function(a){var b=sre.DomUtil.createElement("none");a&&sre.EnrichMathml.setAttributes(b,a);b.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");return b};
+sre.CaseMultiindex.prototype.completeMultiscript=function(a,b){var c=sre.DomUtil.toArray(this.mml.childNodes).slice(1),d=0,e=goog.bind(function(f){for(var g=0,h;h=f[g];g++){var k=c[d];if(k&&h==sre.EnrichMathml.getInnerNode(k).getAttribute(sre.EnrichMathml.Attribute.ID))sre.EnrichMathml.getInnerNode(k).setAttribute(sre.EnrichMathml.Attribute.PARENT,this.semantic.id),d++;else{var l=this.semantic.querySelectorAll(function(m){return m.id===h});this.mml.insertBefore(sre.CaseMultiindex.createNone_(l[0]),
+k||null)}}},this);e(a);c[d]&&"MPRESCRIPTS"!==sre.DomUtil.tagName(c[d])?this.mml.insertBefore(c[d],sre.DomUtil.createElement("mprescripts")):d++;e(b)};sre.CaseMultiindex.createNone_=function(a){var b=sre.DomUtil.createElement("none");a&&sre.EnrichMathml.setAttributes(b,a);b.setAttribute(sre.EnrichMathml.Attribute.ADDED,"true");return b};
 sre.CaseMultiindex.multiscriptIndex=function(a){if(a.type===sre.SemanticAttr.Type.PUNCTUATED&&a.contentNodes[0].role===sre.SemanticAttr.Role.DUMMY)return sre.EnrichMathml.collapsePunctuated(a);sre.EnrichMathml.walkTree(a);return a.id};sre.CaseMultiscripts=function(a){sre.CaseMultiindex.call(this,a)};goog.inherits(sre.CaseMultiscripts,sre.CaseMultiindex);sre.CaseMultiscripts.test=function(a){return a.mathmlTree?"MMULTISCRIPTS"===sre.DomUtil.tagName(a.mathmlTree)&&(a.type===sre.SemanticAttr.Type.SUPERSCRIPT||a.type===sre.SemanticAttr.Type.SUBSCRIPT):!1};
 sre.CaseMultiscripts.prototype.getMathml=function(){sre.EnrichMathml.setAttributes(this.mml,this.semantic);if(this.semantic.childNodes[0]&&this.semantic.childNodes[0].role===sre.SemanticAttr.Role.SUBSUP){var a=this.semantic.childNodes[0],b=a.childNodes[0],c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),d=sre.CaseMultiindex.multiscriptIndex(a.childNodes[1]),e=[this.semantic.id,[a.id,b.id,d],c];sre.EnrichMathml.addCollapsedAttribute(this.mml,e);this.mml.setAttribute(sre.EnrichMathml.Attribute.TYPE,
 a.role);this.completeMultiscript(sre.SemanticSkeleton.interleaveIds(d,c),[])}else b=this.semantic.childNodes[0],c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),e=[this.semantic.id,b.id,c],sre.EnrichMathml.addCollapsedAttribute(this.mml,e);a=sre.SemanticSkeleton.collapsedLeafs(d||[],c);c=sre.EnrichMathml.walkTree(b);sre.EnrichMathml.getInnerNode(c).setAttribute(sre.EnrichMathml.Attribute.PARENT,this.semantic.id);a.unshift(b.id);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,
-a.join(","));return this.mml};sre.CaseEmbellished=function(a){sre.AbstractEnrichCase.call(this,a);this.ofenceMml=this.ofence=this.fencedMml=this.fenced=null;this.ofenceMap={};this.cfenceMml=this.cfence=null;this.cfenceMap={};this.parentCleanup=[]};goog.inherits(sre.CaseEmbellished,sre.AbstractEnrichCase);sre.CaseEmbellished.test=function(a){return a.mathmlTree&&a.fencePointer};sre.CaseEmbellished.prototype.getMathml=function(){this.getFenced_();this.fencedMml=sre.EnrichMathml.walkTree(this.fenced);this.getFencesMml_();return this.rewrite_()};
+a.join(","));return this.mml};sre.CaseEmbellished=function(a){sre.AbstractEnrichCase.call(this,a);this.ofenceMml=this.ofence=this.fencedMml=this.fenced=null;this.ofenceMap={};this.cfenceMml=this.cfence=null;this.cfenceMap={};this.parentCleanup=[]};goog.inherits(sre.CaseEmbellished,sre.AbstractEnrichCase);sre.CaseEmbellished.test=function(a){return!(!a.mathmlTree||!a.fencePointer)};sre.CaseEmbellished.prototype.getMathml=function(){this.getFenced_();this.fencedMml=sre.EnrichMathml.walkTree(this.fenced);this.getFencesMml_();return this.rewrite_()};
 sre.CaseEmbellished.prototype.getFenced_=function(){for(var a=this.semantic;a.type!==sre.SemanticAttr.Type.FENCED;)a=a.childNodes[0];this.fenced=a.childNodes[0];this.ofence=a.contentNodes[0];this.cfence=a.contentNodes[1];sre.CaseEmbellished.fencedMap_(this.ofence,this.ofenceMap);sre.CaseEmbellished.fencedMap_(this.cfence,this.cfenceMap)};sre.CaseEmbellished.fencedMap_=function(a,b){b[a.id]=a.mathmlTree;a.embellished&&sre.CaseEmbellished.fencedMap_(a.childNodes[0],b)};
 sre.CaseEmbellished.prototype.getFencesMml_=function(){for(var a=this.semantic,b=Object.keys(this.ofenceMap),c=Object.keys(this.cfenceMap);!(this.ofenceMml&&this.cfenceMml||a===this.fenced);)-1===b.indexOf(a.fencePointer)||this.ofenceMml||(this.ofenceMml=a.mathmlTree),-1===c.indexOf(a.fencePointer)||this.cfenceMml||(this.cfenceMml=a.mathmlTree),a=a.childNodes[0];this.ofenceMml||(this.ofenceMml=this.ofence.mathmlTree);this.cfenceMml||(this.cfenceMml=this.cfence.mathmlTree);this.ofenceMml&&(this.ofenceMml=
 sre.EnrichMathml.ascendNewNode(this.ofenceMml));this.cfenceMml&&(this.cfenceMml=sre.EnrichMathml.ascendNewNode(this.cfenceMml))};
@@ -380,80 +540,83 @@ d);sre.DomUtil.replaceNode(d.childNodes[0],c);sre.DomUtil.replaceNode(e,g);d.par
 sre.CaseEmbellished.prototype.specialCase_=function(a,b){var c=sre.DomUtil.tagName(b),d=null;if("MSUBSUP"===c){d=a.childNodes[0];var e=sre.CaseDoubleScript}else"MMULTISCRIPTS"===c&&(a.type===sre.SemanticAttr.Type.SUPERSCRIPT||a.type===sre.SemanticAttr.Type.SUBSCRIPT?e=sre.CaseMultiscripts:a.type===sre.SemanticAttr.Type.TENSOR&&(e=sre.CaseTensor),d=e&&a.childNodes[0]&&a.childNodes[0].role===sre.SemanticAttr.Role.SUBSUP?a.childNodes[0]:a);if(!d)return null;c=d.childNodes[0];b=sre.CaseEmbellished.makeEmptyNode_(c.id);
 d.childNodes[0]=b;b=(new e(a)).getMathml();d.childNodes[0]=c;this.parentCleanup.push(b);return d.childNodes[0]};sre.CaseEmbellished.makeEmptyNode_=function(a){var b=sre.DomUtil.createElement("mrow");a=new sre.SemanticNode(a);a.type=sre.SemanticAttr.Type.EMPTY;a.mathmlTree=b;return a};
 sre.CaseEmbellished.prototype.introduceNewLayer_=function(){var a=this.fullFence(this.ofenceMml),b=this.fullFence(this.cfenceMml),c=sre.DomUtil.createElement("mrow");sre.DomUtil.replaceNode(this.fencedMml,c);c.appendChild(this.fencedMml);c.insertBefore(a,this.fencedMml);c.appendChild(b);if(!c.parentNode){for(a=sre.DomUtil.createElement("mrow");0<c.childNodes.length;)a.appendChild(c.childNodes[0]);c.appendChild(a);c=a}return c};
-sre.CaseEmbellished.prototype.fullFence=function(a){for(var b=this.fencedMml.parentNode;a.parentNode&&a.parentNode!==b;)a=a.parentNode;return a};sre.CaseEmbellished.prototype.cleanupParents_=function(){this.parentCleanup.forEach(function(a){var b=a.childNodes[1].getAttribute(sre.EnrichMathml.Attribute.PARENT);a.childNodes[0].setAttribute(sre.EnrichMathml.Attribute.PARENT,b)})};sre.CaseLine=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseLine,sre.AbstractEnrichCase);sre.CaseLine.test=function(a){return a.mathmlTree&&a.type===sre.SemanticAttr.Type.LINE};
-sre.CaseLine.prototype.getMathml=function(){this.semantic.contentNodes.length&&sre.EnrichMathml.walkTree(this.semantic.contentNodes[0]);this.semantic.childNodes.length&&sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseTable=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree;this.inner=[]};goog.inherits(sre.CaseTable,sre.AbstractEnrichCase);sre.CaseTable.test=function(a){return a.mathmlTree&&(a.type===sre.SemanticAttr.Type.MATRIX||a.type===sre.SemanticAttr.Type.VECTOR||a.type===sre.SemanticAttr.Type.CASES)};
+sre.CaseEmbellished.prototype.fullFence=function(a){for(var b=this.fencedMml.parentNode;a.parentNode&&a.parentNode!==b;)a=a.parentNode;return a};sre.CaseEmbellished.prototype.cleanupParents_=function(){this.parentCleanup.forEach(function(a){var b=a.childNodes[1].getAttribute(sre.EnrichMathml.Attribute.PARENT);a.childNodes[0].setAttribute(sre.EnrichMathml.Attribute.PARENT,b)})};sre.CaseLine=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseLine,sre.AbstractEnrichCase);sre.CaseLine.test=function(a){return!!a.mathmlTree&&a.type===sre.SemanticAttr.Type.LINE};
+sre.CaseLine.prototype.getMathml=function(){this.semantic.contentNodes.length&&sre.EnrichMathml.walkTree(this.semantic.contentNodes[0]);this.semantic.childNodes.length&&sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseProof=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseProof,sre.AbstractEnrichCase);sre.CaseProof.test=function(a){return!!a.mathmlTree&&(a.type===sre.SemanticAttr.Type.INFERENCE||a.type===sre.SemanticAttr.Type.PREMISES)};
+sre.CaseProof.prototype.getMathml=function(){if(!this.semantic.childNodes.length)return this.mml;this.semantic.contentNodes.forEach(function(a){sre.EnrichMathml.walkTree(a);sre.EnrichMathml.setAttributes(a.mathmlTree,a)});this.semantic.childNodes.forEach(function(a){sre.EnrichMathml.walkTree(a)});sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.getAttribute("data-semantic-id")===this.mml.getAttribute("data-semantic-parent")&&this.mml.removeAttribute("data-semantic-parent");return this.mml};sre.CaseTable=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree;this.inner=[]};goog.inherits(sre.CaseTable,sre.AbstractEnrichCase);sre.CaseTable.test=function(a){return!!a.mathmlTree&&(a.type===sre.SemanticAttr.Type.MATRIX||a.type===sre.SemanticAttr.Type.VECTOR||a.type===sre.SemanticAttr.Type.CASES)};
 sre.CaseTable.prototype.getMathml=function(){var a=sre.EnrichMathml.cloneContentNode(this.semantic.contentNodes[0]),b=this.semantic.contentNodes[1]?sre.EnrichMathml.cloneContentNode(this.semantic.contentNodes[1]):null;this.inner=this.semantic.childNodes.map(sre.EnrichMathml.walkTree);"MFENCED"===sre.DomUtil.tagName(this.mml)?(this.mml.insertBefore(a,this.mml.childNodes[0]||null),b&&this.mml.appendChild(b),this.mml=sre.EnrichMathml.rewriteMfenced(this.mml)):(a=[a,this.mml],b&&a.push(b),this.mml=sre.EnrichMathml.introduceNewLayer(a));
-sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseTensor=function(a){sre.CaseMultiindex.call(this,a)};goog.inherits(sre.CaseTensor,sre.CaseMultiindex);sre.CaseTensor.test=function(a){return a.mathmlTree&&a.type===sre.SemanticAttr.Type.TENSOR};
+sre.EnrichMathml.setAttributes(this.mml,this.semantic);return this.mml};sre.CaseTensor=function(a){sre.CaseMultiindex.call(this,a)};goog.inherits(sre.CaseTensor,sre.CaseMultiindex);sre.CaseTensor.test=function(a){return!!a.mathmlTree&&a.type===sre.SemanticAttr.Type.TENSOR};
 sre.CaseTensor.prototype.getMathml=function(){sre.EnrichMathml.walkTree(this.semantic.childNodes[0]);var a=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[1]),b=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[2]),c=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[3]),d=sre.CaseMultiindex.multiscriptIndex(this.semantic.childNodes[4]);sre.EnrichMathml.setAttributes(this.mml,this.semantic);sre.EnrichMathml.addCollapsedAttribute(this.mml,[this.semantic.id,this.semantic.childNodes[0].id,
-a,b,c,d]);var e=sre.SemanticSkeleton.collapsedLeafs(a,b,c,d);e.unshift(this.semantic.childNodes[0].id);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,e.join(","));this.completeMultiscript(sre.SemanticSkeleton.interleaveIds(c,d),sre.SemanticSkeleton.interleaveIds(a,b));return this.mml};sre.CaseText=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseText,sre.AbstractEnrichCase);sre.CaseText.test=function(a){return a.type===sre.SemanticAttr.Type.PUNCTUATED&&a.role===sre.SemanticAttr.Role.TEXT};
-sre.CaseText.prototype.getMathml=function(){var a=[],b=sre.EnrichMathml.collapsePunctuated(this.semantic,a);this.mml=sre.EnrichMathml.introduceNewLayer(a);sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.removeAttribute(sre.EnrichMathml.Attribute.CONTENT);sre.EnrichMathml.addCollapsedAttribute(this.mml,b);return this.mml};sre.EnrichCases=function(){};sre.EnrichCaseFactory.cases.push({test:sre.CaseEmbellished.test,constr:sre.CaseEmbellished},{test:sre.CaseDoubleScript.test,constr:sre.CaseDoubleScript},{test:sre.CaseTensor.test,constr:sre.CaseTensor},{test:sre.CaseMultiscripts.test,constr:sre.CaseMultiscripts},{test:sre.CaseLine.test,constr:sre.CaseLine},{test:sre.CaseBinomial.test,constr:sre.CaseBinomial},{test:sre.CaseTable.test,constr:sre.CaseTable},{test:sre.CaseText.test,constr:sre.CaseText});sre.Enrich={};sre.Enrich.semanticMathmlNode=function(a){a=a.cloneNode(!0);var b=sre.Semantic.getTree(a);return sre.EnrichMathml.enrich(a,b)};sre.Enrich.semanticMathmlSync=function(a){a=sre.DomUtil.parseInput(a);return sre.Enrich.semanticMathmlNode(a)};sre.Enrich.semanticMathml=function(a,b){if(sre.Engine.isReady()){var c=sre.DomUtil.parseInput(a);b(sre.Enrich.semanticMathmlNode(c))}else setTimeout(function(){sre.Enrich.semanticMathml(a,b)},500)};
+a,b,c,d]);var e=sre.SemanticSkeleton.collapsedLeafs(a,b,c,d);e.unshift(this.semantic.childNodes[0].id);this.mml.setAttribute(sre.EnrichMathml.Attribute.CHILDREN,e.join(","));this.completeMultiscript(sre.SemanticSkeleton.interleaveIds(c,d),sre.SemanticSkeleton.interleaveIds(a,b));return this.mml};sre.CaseText=function(a){sre.AbstractEnrichCase.call(this,a);this.mml=a.mathmlTree};goog.inherits(sre.CaseText,sre.AbstractEnrichCase);sre.CaseText.test=function(a){return a.type===sre.SemanticAttr.Type.PUNCTUATED&&(a.role===sre.SemanticAttr.Role.TEXT||a.contentNodes.every(function(b){return b.role===sre.SemanticAttr.Role.DUMMY}))};
+sre.CaseText.prototype.getMathml=function(){var a=[],b=sre.EnrichMathml.collapsePunctuated(this.semantic,a);this.mml=sre.EnrichMathml.introduceNewLayer(a);sre.EnrichMathml.setAttributes(this.mml,this.semantic);this.mml.removeAttribute(sre.EnrichMathml.Attribute.CONTENT);sre.EnrichMathml.addCollapsedAttribute(this.mml,b);return this.mml};sre.EnrichCases=function(){};
+sre.EnrichCaseFactory.cases.push({test:sre.CaseEmbellished.test,constr:sre.CaseEmbellished},{test:sre.CaseDoubleScript.test,constr:sre.CaseDoubleScript},{test:sre.CaseTensor.test,constr:sre.CaseTensor},{test:sre.CaseMultiscripts.test,constr:sre.CaseMultiscripts},{test:sre.CaseLine.test,constr:sre.CaseLine},{test:sre.CaseBinomial.test,constr:sre.CaseBinomial},{test:sre.CaseProof.test,constr:sre.CaseProof},{test:sre.CaseTable.test,constr:sre.CaseTable},{test:sre.CaseText.test,constr:sre.CaseText});sre.Enrich={};sre.Enrich.semanticMathmlNode=function(a){a=a.cloneNode(!0);var b=sre.Semantic.getTree(a);return sre.EnrichMathml.enrich(a,b)};sre.Enrich.semanticMathmlSync=function(a){a=sre.DomUtil.parseInput(a);return sre.Enrich.semanticMathmlNode(a)};sre.Enrich.semanticMathml=function(a,b){if(sre.Engine.isReady()){var c=sre.DomUtil.parseInput(a);b(sre.Enrich.semanticMathmlNode(c))}else setTimeout(function(){sre.Enrich.semanticMathml(a,b)},500)};
 sre.Enrich.testTranslation__=function(a){new sre.EnrichCases;sre.Debugger.getInstance().init();a=sre.Enrich.semanticMathmlSync(sre.Enrich.prepareMmlString(a)).toString();sre.EnrichMathml.removeAttributePrefix(a);sre.Debugger.getInstance().exit();return a};sre.Enrich.prepareMmlString=function(a){a.match(/^<math/)||(a="<math>"+a);a.match(/\/math>$/)||(a+="</math>");return a};sre.ColorPicker=function(a,b){this.foreground=sre.ColorPicker.getChannelColor_(b,sre.ColorPicker.DEFAULT_FOREGROUND_);this.background=sre.ColorPicker.getChannelColor_(a,sre.ColorPicker.DEFAULT_BACKGROUND_)};sre.ColorPicker.DEFAULT_BACKGROUND_="blue";sre.ColorPicker.DEFAULT_FOREGROUND_="black";
 sre.ColorPicker.namedColors_={red:{red:255,green:0,blue:0},green:{red:0,green:255,blue:0},blue:{red:0,green:0,blue:255},yellow:{red:255,green:255,blue:0},cyan:{red:0,green:255,blue:255},magenta:{red:255,green:0,blue:255},white:{red:255,green:255,blue:255},black:{red:0,green:0,blue:0}};sre.ColorPicker.getChannelColor_=function(a,b){a=a||{color:b};var c=a.color?sre.ColorPicker.namedColors_[a.color]:a;c||(c=sre.ColorPicker.namedColors_[b]);c.alpha=a.hasOwnProperty("alpha")?a.alpha:1;return sre.ColorPicker.normalizeColor_(c)};
-sre.ColorPicker.normalizeColor_=function(a){var b=function(a){a=Math.max(a,0);a=Math.min(255,a);return Math.round(a)};a.red=b(a.red);a.green=b(a.green);a.blue=b(a.blue);a.alpha=Math.max(a.alpha,0);a.alpha=Math.min(1,a.alpha);return a};sre.ColorPicker.prototype.rgba=function(){var a=function(a){return"rgba("+a.red+","+a.green+","+a.blue+","+a.alpha+")"};return{background:a(this.background),foreground:a(this.foreground)}};
-sre.ColorPicker.prototype.rgb=function(){var a=function(a){return"rgb("+a.red+","+a.green+","+a.blue+")"};return{background:a(this.background),alphaback:this.background.alpha.toString(),foreground:a(this.foreground),alphafore:this.foreground.alpha.toString()}};
-sre.ColorPicker.prototype.hex=function(){var a=function(a){return"#"+sre.ColorPicker.toHex_(a.red)+sre.ColorPicker.toHex_(a.green)+sre.ColorPicker.toHex_(a.blue)};return{background:a(this.background),alphaback:this.background.alpha.toString(),foreground:a(this.foreground),alphafore:this.foreground.alpha.toString()}};sre.ColorPicker.toHex_=function(a){a=a.toString(16);return 1===a.length?"0"+a:a};sre.Highlighter=function(){};sre.Highlighter.prototype.highlight=function(a){};sre.Highlighter.prototype.unhighlight=function(){};sre.Highlighter.prototype.highlightAll=function(a){};sre.Highlighter.prototype.unhighlightAll=function(){};sre.Highlighter.prototype.setColor=function(a){};sre.Highlighter.prototype.addEvents=function(a,b){};sre.AbstractHighlighter=function(){this.currentHighlights_=[];this.color=null;this.mactionName="";this.state_={}};sre.AbstractHighlighter.prototype.highlight=function(a){this.currentHighlights_.push(a.map(goog.bind(function(a){return this.highlightNode(a)},this)))};sre.AbstractHighlighter.prototype.highlightNode=goog.abstractMethod;sre.AbstractHighlighter.prototype.highlightAll=function(a){a=this.getMactionNodes(a);for(var b=0,c;c=a[b];b++)this.highlight([c])};
-sre.AbstractHighlighter.prototype.unhighlight=function(){var a=this.currentHighlights_.pop();a&&a.forEach(goog.bind(function(a){return this.unhighlightNode(a)},this))};sre.AbstractHighlighter.prototype.unhighlightNode=goog.abstractMethod;sre.AbstractHighlighter.prototype.unhighlightAll=function(){for(;0<this.currentHighlights_.length;)this.unhighlight()};sre.AbstractHighlighter.prototype.setColor=function(a){this.color=a};sre.AbstractHighlighter.prototype.colorString=function(){return this.color.rgba()};
-sre.AbstractHighlighter.prototype.addEvents=function(a,b){a=this.getMactionNodes(a);for(var c=0,d;d=a[c];c++)for(var e in b)d.addEventListener(e,b[e])};sre.AbstractHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByClassName(this.mactionName)};sre.AbstractHighlighter.prototype.isMactionNode=function(a){return(a=a.className||a.getAttribute("class"))?a.match(new RegExp(this.mactionName)):!1};sre.AbstractHighlighter.prototype.resetState=function(a){delete this.state_[a]};
-sre.AbstractHighlighter.prototype.setState=function(a,b){this.state_[a]=b};sre.AbstractHighlighter.prototype.getState=function(a){return this.state_[a]};sre.CssHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="mjx-maction"};goog.inherits(sre.CssHighlighter,sre.AbstractHighlighter);sre.CssHighlighter.prototype.highlightNode=function(a){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color},c=this.colorString();a.style.backgroundColor=c.background;a.style.color=c.foreground;return b};sre.CssHighlighter.prototype.unhighlightNode=function(a){a.node.style.backgroundColor=a.background;a.node.style.color=a.foreground};sre.HtmlHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.HtmlHighlighter,sre.AbstractHighlighter);sre.HtmlHighlighter.prototype.setMode=function(a){this.mode=a};
-sre.HtmlHighlighter.prototype.highlightNode=function(a){var b={node:a,foreground:a.style.color,position:a.style.position},c=this.color.rgb();a.style.color=c.foreground;a.style.position="relative";var d=a.bbox;if(d&&d.w){var e=document.createElement("span"),f=parseFloat(a.style.paddingLeft||"0");e.style.backgroundColor=c.background;e.style.opacity=c.alphaback.toString();e.style.display="inline-block";e.style.height=d.h+d.d+.1+"em";e.style.verticalAlign=-d.d+"em";e.style.marginTop=e.style.marginBottom=
+sre.ColorPicker.normalizeColor_=function(a){var b=function(c){c=Math.max(c,0);c=Math.min(255,c);return Math.round(c)};a.red=b(a.red);a.green=b(a.green);a.blue=b(a.blue);a.alpha=Math.max(a.alpha,0);a.alpha=Math.min(1,a.alpha);return a};sre.ColorPicker.prototype.rgba=function(){var a=function(b){return"rgba("+b.red+","+b.green+","+b.blue+","+b.alpha+")"};return{background:a(this.background),foreground:a(this.foreground)}};
+sre.ColorPicker.prototype.rgb=function(){var a=function(b){return"rgb("+b.red+","+b.green+","+b.blue+")"};return{background:a(this.background),alphaback:this.background.alpha.toString(),foreground:a(this.foreground),alphafore:this.foreground.alpha.toString()}};
+sre.ColorPicker.prototype.hex=function(){var a=function(b){return"#"+sre.ColorPicker.toHex_(b.red)+sre.ColorPicker.toHex_(b.green)+sre.ColorPicker.toHex_(b.blue)};return{background:a(this.background),alphaback:this.background.alpha.toString(),foreground:a(this.foreground),alphafore:this.foreground.alpha.toString()}};sre.ColorPicker.toHex_=function(a){a=a.toString(16);return 1===a.length?"0"+a:a};sre.ContrastPicker=function(){this.hue=10;this.sat=100;this.incr=this.light=50};
+sre.ContrastPicker.prototype.generate=function(){return sre.ColorPicker.RGB2hex_(sre.ColorPicker.rgb2RGB_(sre.ColorPicker.hsl2rgb_(this.hue,this.sat,this.light)))};sre.ContrastPicker.prototype.increment=function(){this.hue=(this.hue+this.incr)%360};
+sre.ColorPicker.hsl2rgb_=function(a,b,c){c=1<c?c/100:c;var d=(1-Math.abs(2*c-1))*(1<b?b/100:b),e=d*(1-Math.abs(a/60%2-1));c-=d/2;var f=b=0,g=0;0<=a&&60>a?(a=$jscomp.makeIterator([d,e,0]),b=a.next().value,f=a.next().value,g=a.next().value):60<=a&&120>a?(a=$jscomp.makeIterator([e,d,0]),b=a.next().value,f=a.next().value,g=a.next().value):120<=a&&180>a?(a=$jscomp.makeIterator([0,d,e]),b=a.next().value,f=a.next().value,g=a.next().value):180<=a&&240>a?(a=$jscomp.makeIterator([0,e,d]),b=a.next().value,f=
+a.next().value,g=a.next().value):240<=a&&300>a?(a=$jscomp.makeIterator([e,0,d]),b=a.next().value,f=a.next().value,g=a.next().value):300<=a&&360>a&&(a=$jscomp.makeIterator([d,0,e]),b=a.next().value,f=a.next().value,g=a.next().value);return{red:b+c,green:f+c,blue:g+c}};sre.ColorPicker.rgb2RGB_=function(a){return{red:Math.round(255*a.red),green:Math.round(255*a.green),blue:Math.round(255*a.blue)}};sre.ColorPicker.RGB2hex_=function(a){return"rgb("+a.red+","+a.green+","+a.blue+")"};sre.Highlighter=function(){};sre.Highlighter.prototype.highlight=function(a){};sre.Highlighter.prototype.unhighlight=function(){};sre.Highlighter.prototype.highlightAll=function(a){};sre.Highlighter.prototype.unhighlightAll=function(){};sre.Highlighter.prototype.setColor=function(a){};sre.Highlighter.prototype.addEvents=function(a,b){};sre.AbstractHighlighter=function(){this.currentHighlights_=[];this.color=null;this.mactionName=""};sre.AbstractHighlighter.ATTR="sre-highlight";sre.AbstractHighlighter.prototype.highlight=function(a){this.currentHighlights_.push(a.map(goog.bind(function(b){var c=this.highlightNode(b);this.setHighlighted(b);return c},this)))};sre.AbstractHighlighter.prototype.highlightNode=goog.abstractMethod;sre.AbstractHighlighter.prototype.highlightAll=function(a){a=this.getMactionNodes(a);for(var b=0,c;c=a[b];b++)this.highlight([c])};
+sre.AbstractHighlighter.prototype.unhighlight=function(){var a=this.currentHighlights_.pop();a&&a.forEach(goog.bind(function(b){this.isHighlighted(b.node)&&(this.unhighlightNode(b),this.unsetHighlighted(b.node))},this))};sre.AbstractHighlighter.prototype.unhighlightNode=goog.abstractMethod;sre.AbstractHighlighter.prototype.unhighlightAll=function(){for(;0<this.currentHighlights_.length;)this.unhighlight()};sre.AbstractHighlighter.prototype.setColor=function(a){this.color=a};
+sre.AbstractHighlighter.prototype.colorString=function(){return this.color.rgba()};sre.AbstractHighlighter.prototype.addEvents=function(a,b){a=this.getMactionNodes(a);for(var c=0,d;d=a[c];c++)for(var e in b)d.addEventListener(e,b[e])};sre.AbstractHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByClassName(this.mactionName)};sre.AbstractHighlighter.prototype.isMactionNode=function(a){return(a=a.className||a.getAttribute("class"))?a.match(new RegExp(this.mactionName)):!1};
+sre.AbstractHighlighter.prototype.isHighlighted=function(a){return a.hasAttribute(sre.AbstractHighlighter.ATTR)};sre.AbstractHighlighter.prototype.setHighlighted=function(a){a.setAttribute(sre.AbstractHighlighter.ATTR,!0)};sre.AbstractHighlighter.prototype.unsetHighlighted=function(a){a.removeAttribute(sre.AbstractHighlighter.ATTR)};
+sre.AbstractHighlighter.prototype.colorizeAll=function(a){sre.XpathUtil.evalXPath(".//*[@"+sre.EnrichMathml.Attribute.ID+"]",a).forEach(goog.bind(function(b){this.colorize(b)},this))};sre.AbstractHighlighter.prototype.uncolorizeAll=function(a){sre.XpathUtil.evalXPath(".//*[@"+sre.EnrichMathml.Attribute.ID+"]",a).forEach(goog.bind(function(b){this.uncolorize(b)},this))};
+sre.AbstractHighlighter.prototype.colorize=function(a){var b=sre.EnrichMathml.addPrefix("foreground");a.hasAttribute(b)&&(a.setAttribute(b+"-old",a.style.color),a.style.color=a.getAttribute(b))};sre.AbstractHighlighter.prototype.uncolorize=function(a){var b=sre.EnrichMathml.addPrefix("foreground")+"-old";a.hasAttribute(b)&&(a.style.color=a.getAttribute(b))};sre.CssHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="mjx-maction"};goog.inherits(sre.CssHighlighter,sre.AbstractHighlighter);sre.CssHighlighter.prototype.highlightNode=function(a){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color},c=this.colorString();a.style.backgroundColor=c.background;a.style.color=c.foreground;return b};sre.CssHighlighter.prototype.unhighlightNode=function(a){a.node.style.backgroundColor=a.background;a.node.style.color=a.foreground};sre.ChtmlHighlighter=function(){sre.CssHighlighter.call(this)};goog.inherits(sre.ChtmlHighlighter,sre.CssHighlighter);sre.ChtmlHighlighter.prototype.isMactionNode=function(a){return a.tagName.toUpperCase()===this.mactionName.toUpperCase()};sre.ChtmlHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByTagName(this.mactionName)};sre.HtmlHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.HtmlHighlighter,sre.AbstractHighlighter);sre.HtmlHighlighter.prototype.setMode=function(a){this.mode=a};
+sre.HtmlHighlighter.prototype.highlightNode=function(a){var b={node:a,foreground:a.style.color,position:a.style.position},c=this.color.rgb();a.style.color=c.foreground;a.style.position="relative";var d=a.bbox;if(d&&d.w){var e=sre.DomUtil.createElement("span"),f=parseFloat(a.style.paddingLeft||"0");e.style.backgroundColor=c.background;e.style.opacity=c.alphaback.toString();e.style.display="inline-block";e.style.height=d.h+d.d+.1+"em";e.style.verticalAlign=-d.d+"em";e.style.marginTop=e.style.marginBottom=
 "-0.05em";e.style.width=d.w+0+"em";e.style.marginLeft=f-0+"em";e.style.marginRight=-d.w-f+"em";a.parentNode.insertBefore(e,a);b.box=e}return b};sre.HtmlHighlighter.prototype.unhighlightNode=function(a){var b=a.node;b.style.color=a.foreground;b.style.position=a.position;a.box&&a.box.parentNode.removeChild(a.box)};sre.MmlCssHighlighter=function(){sre.CssHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.MmlCssHighlighter,sre.CssHighlighter);sre.MmlCssHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByTagName(this.mactionName)};sre.MmlCssHighlighter.prototype.isMactionNode=function(a){return a.tagName===this.mactionName};sre.MmlHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.MmlHighlighter,sre.AbstractHighlighter);sre.MmlHighlighter.prototype.highlightNode=function(a){var b=a.getAttribute("style");b+=";background-color: "+this.colorString().background;b+=";color: "+this.colorString().foreground;a.setAttribute("style",b);return{node:a}};
 sre.MmlHighlighter.prototype.unhighlightNode=function(a){var b=a.node.getAttribute("style");b=b.replace(";background-color: "+this.colorString().background,"");b=b.replace(";color: "+this.colorString().foreground,"");a.node.setAttribute("style",b)};sre.MmlHighlighter.prototype.colorString=function(){return this.color.rgba()};sre.MmlHighlighter.prototype.getMactionNodes=function(a){return a.getElementsByTagName(this.mactionName)};
 sre.MmlHighlighter.prototype.isMactionNode=function(a){return a.tagName===this.mactionName};sre.SvgHighlighter=function(){sre.AbstractHighlighter.call(this);this.mactionName="mjx-svg-maction"};goog.inherits(sre.SvgHighlighter,sre.AbstractHighlighter);
-sre.SvgHighlighter.prototype.highlightNode=function(a){if("svg"===a.tagName){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color};a.style.backgroundColor=this.colorString().background;a.style.color=this.colorString().foreground;return b}b=document.createElementNS("http://www.w3.org/2000/svg","rect");if("use"===a.nodeName){var c=document.createElementNS("http://www.w3.org/2000/svg","g");a.parentNode.insertBefore(c,a);c.appendChild(a);var d=c.getBBox();c.parentNode.replaceChild(a,
-c)}else d=a.getBBox();b.setAttribute("x",d.x-40);b.setAttribute("y",d.y-40);b.setAttribute("width",d.width+80);b.setAttribute("height",d.height+80);(d=a.getAttribute("transform"))&&b.setAttribute("transform",d);b.setAttribute("fill",this.colorString().background);a.parentNode.insertBefore(b,a);b={node:b,foreground:a.getAttribute("fill")};a.setAttribute("fill",this.colorString().foreground);return b};
-sre.SvgHighlighter.prototype.unhighlightNode=function(a){"background"in a?(a.node.style.backgroundColor=a.background,a.node.style.color=a.foreground):(a.foreground?a.node.nextSibling.setAttribute("fill",a.foreground):a.node.nextSibling.removeAttribute("fill"),a.node.parentNode.removeChild(a.node))};sre.SvgHighlighter.prototype.isMactionNode=function(a){a=a.className||a.getAttribute("class");return(a=a.baseVal?a.baseVal:a)?a.match(new RegExp(this.mactionName)):!1};sre.HighlighterFactory={};sre.HighlighterFactory.highlighter=function(a,b,c){a=new sre.ColorPicker(a,b);c=sre.HighlighterFactory.highlighterMapping_["NativeMML"===c.renderer&&"Safari"===c.browser?"MML-CSS":c.renderer];if(!c)return null;c.setColor(a);return c};sre.HighlighterFactory.addEvents=function(a,b,c){(c=sre.HighlighterFactory.highlighterMapping_[c.renderer])&&c.addEvents(a,b)};
-sre.HighlighterFactory.highlighterMapping_={SVG:new sre.SvgHighlighter,NativeMML:new sre.MmlHighlighter,"HTML-CSS":new sre.HtmlHighlighter,"MML-CSS":new sre.MmlCssHighlighter,CommonHTML:new sre.CssHighlighter};sre.Grammar=function(){this.parameters_={};this.corrections_={};this.preprocessors_={};this.stateStack_=[]};goog.addSingletonGetter(sre.Grammar);sre.Grammar.ATTRIBUTE="grammar";sre.Grammar.prototype.clear=function(){this.parameters_={};this.stateStack_=[]};sre.Grammar.prototype.setParameter=function(a,b){var c=this.parameters_[a];b?this.parameters_[a]=b:delete this.parameters_[a];return c};sre.Grammar.prototype.getParameter=function(a){return this.parameters_[a]};
-sre.Grammar.prototype.setCorrection=function(a,b){this.corrections_[a]=b};sre.Grammar.prototype.setPreprocessor=function(a,b){this.preprocessors_[a]=b};sre.Grammar.prototype.getCorrection=function(a){return this.corrections_[a]};sre.Grammar.prototype.getState=function(){var a=[],b;for(b in this.parameters_){var c=this.parameters_[b];a.push("string"===typeof c?b+":"+c:b)}return a.join(" ")};sre.Grammar.prototype.pushState=function(a){for(var b in a)a[b]=this.setParameter(b,a[b]);this.stateStack_.push(a)};
-sre.Grammar.prototype.popState=function(){var a=this.stateStack_.pop(),b;for(b in a)this.setParameter(b,a[b])};sre.Grammar.prototype.setAttribute=function(a){if(a&&a.nodeType===sre.DomUtil.NodeType.ELEMENT_NODE){var b=this.getState();b&&a.setAttribute(sre.Grammar.ATTRIBUTE,b)}};sre.Grammar.prototype.preprocess=function(a){return this.runProcessors_(a,this.preprocessors_)};sre.Grammar.prototype.correct=function(a){return this.runProcessors_(a,this.corrections_)};
-sre.Grammar.prototype.runProcessors_=function(a,b){for(var c in this.parameters_){var d=b[c];if(d){var e=this.parameters_[c];a=!0===e?d(a):d(a,e)}}return a};sre.Grammar.translateString_=function(a){var b=sre.Engine.getInstance();return b.evaluator(a,b.dynamicCstr)||a};
-sre.Grammar.prototype.apply=function(a,b){b=b||{};a=b.adjust||b.preprocess?sre.Grammar.getInstance().preprocess(a):a;if(this.parameters_.translate||b.translate)a=sre.Grammar.translateString_(a);return a=b.adjust||b.correct?sre.Grammar.getInstance().correct(a):a};sre.Grammar.parseState=function(a){var b={};a=a.split(" ");for(var c=0,d=a.length;c<d;c++){var e=a[c].split(":"),f=e[1];b[e[0]]=f?f:!0}return b};
-sre.Grammar.parseInput=function(a){var b={};a=a.split(":");for(var c=0,d=a.length;c<d;c++){var e=a[c].split("="),f=e[0].trim();e[1]?b[f]=e[1].trim():f.match(/^!/)?b[f.slice(1)]=!1:b[f]=!0}return b};sre.Grammar.correctFont_=function(a,b){if(!b||!a)return a;b=sre.L10n.getLocale().FONT[b]||b;b=b.split(/ |-/);b=new RegExp("^"+b.join("( |-)")+"( |-)");return a.replace(b,"")};sre.Grammar.addAnnotation_=function(a,b){return a+":"+b};sre.Grammar.getInstance().setCorrection("ignoreFont",sre.Grammar.correctFont_);
-sre.Grammar.getInstance().setPreprocessor("annotation",sre.Grammar.addAnnotation_);sre.Messages={};sre.Messages.MS={START:"",FRAC_V:"",FRAC_B:"",FRAC_S:"",END:"",FRAC_OVER:"",TWICE:"",NEST_FRAC:"",ENDFRAC:"",SUPER:"",SUB:"",SUP:"",SUPERSCRIPT:"",SUBSCRIPT:"",BASELINE:"",BASE:"",NESTED:"",NEST_ROOT:"",STARTROOT:"",ENDROOT:"",ROOTINDEX:"",ROOT:"",INDEX:"",UNDER:"",UNDERSCRIPT:"",OVER:"",OVERSCRIPT:""};sre.Messages.MS_FUNC={FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:function(a){return""},COMBINE_ROOT_INDEX:function(a,b){return a}};sre.Messages.MS_ROOT_INDEX={};
-sre.Messages.FONT={bold:"","bold-fraktur":"","bold-italic":"","bold-script":"",caligraphic:"","caligraphic-bold":"","double-struck":"","double-struck-italic":"",fraktur:"",italic:"",monospace:"",normal:"",oldstyle:"","oldstyle-bold":"",script:"","sans-serif":"","sans-serif-italic":"","sans-serif-bold":"","sans-serif-bold-italic":"",unknown:""};
-sre.Messages.ROLE={addition:"",multiplication:"",subtraction:"",division:"",equality:"",inequality:"",element:"",arrow:"",determinant:"",rowvector:"",binomial:"",squarematrix:"",multiline:"",matrix:"",vector:"",cases:"",table:"",unknown:""};sre.Messages.ENCLOSE={longdiv:"",actuarial:"",radical:"",box:"",roundedbox:"",circle:"",left:"",right:"",top:"",bottom:"",updiagonalstrike:"",downdiagonalstrike:"",verticalstrike:"",horizontalstrike:"",madruwb:"",updiagonalarrow:"",phasorangle:"",unknown:""};
-sre.Messages.NAVIGATE={COLLAPSIBLE:"",EXPANDABLE:"",LEVEL:""};sre.MathspeakUtil={};sre.MathspeakUtil.spaceoutText=function(a){return a.textContent.split("").join(" ")};sre.MathspeakUtil.spaceoutNumber=function(a){a=a.textContent.split("");for(var b=[],c=new sre.SystemExternal.xmldom.DOMParser,d=0,e;e=a[d];d++){var f=sre.Semantic.Type.NUMBER,g=e.match(/\W/)?sre.Semantic.Role.UNKNOWN:sre.Semantic.Role.PROTECTED;e=c.parseFromString("<"+f+' role="'+g+'">'+e+"</"+f+">","text/xml");b.push(e.documentElement)}return b};
-sre.MathspeakUtil.spaceoutIdentifier=function(a){var b=a.textContent;if(!b.match(/[a-zA-Z]+/))return a.setAttribute("role",sre.SemanticAttr.Role.PROTECTED),[a];a=b.split("");b=[];for(var c=new sre.SystemExternal.xmldom.DOMParser,d=0,e;e=a[d];d++){var f=sre.Semantic.Type.IDENTIFIER;e=c.parseFromString("<"+f+' role="'+sre.Semantic.Role.UNKNOWN+'">'+e+"</"+f+">","text/xml");b.push(e.documentElement)}return b};
-sre.MathspeakUtil.nestingBarriers=[sre.Semantic.Type.CASES,sre.Semantic.Type.CELL,sre.Semantic.Type.INTEGRAL,sre.Semantic.Type.LINE,sre.Semantic.Type.MATRIX,sre.Semantic.Type.MULTILINE,sre.Semantic.Type.OVERSCORE,sre.Semantic.Type.ROOT,sre.Semantic.Type.ROW,sre.Semantic.Type.SQRT,sre.Semantic.Type.SUBSCRIPT,sre.Semantic.Type.SUPERSCRIPT,sre.Semantic.Type.TABLE,sre.Semantic.Type.UNDERSCORE,sre.Semantic.Type.VECTOR];sre.MathspeakUtil.nestingDepth={};
-sre.MathspeakUtil.resetNestingDepth=function(a){sre.MathspeakUtil.nestingDepth={};return[a]};
-sre.MathspeakUtil.getNestingDepth=function(a,b,c,d,e,f){d=d||sre.MathspeakUtil.nestingBarriers;e=e||{};f=f||function(a){return!1};var g=(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(b);sre.MathspeakUtil.nestingDepth[a]||(sre.MathspeakUtil.nestingDepth[a]={});if(sre.MathspeakUtil.nestingDepth[a][g])return sre.MathspeakUtil.nestingDepth[a][g];if(f(b)||0>c.indexOf(b.tagName))return 0;b=sre.MathspeakUtil.computeNestingDepth_(b,c,sre.BaseUtil.setdifference(d,c),e,f,0);return sre.MathspeakUtil.nestingDepth[a][g]=
-b};sre.MathspeakUtil.containsAttr=function(a,b){if(!a.attributes)return!1;a=sre.DomUtil.toArray(a.attributes);for(var c=0,d;d=a[c];c++)if(b[d.nodeName]===d.nodeValue)return!0;return!1};
-sre.MathspeakUtil.computeNestingDepth_=function(a,b,c,d,e,f){if(e(a)||-1<c.indexOf(a.tagName)||sre.MathspeakUtil.containsAttr(a,d))return f;-1<b.indexOf(a.tagName)&&f++;if(!a.childNodes||0===a.childNodes.length)return f;a=sre.DomUtil.toArray(a.childNodes);return Math.max.apply(null,a.map(function(a){return sre.MathspeakUtil.computeNestingDepth_(a,b,c,d,e,f)}))};
-sre.MathspeakUtil.fractionNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("fraction",a,["fraction"],sre.MathspeakUtil.nestingBarriers,{},sre.Messages.MS_FUNC.FRAC_NEST_DEPTH)};sre.MathspeakUtil.openingFractionVerbose=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.START)+sre.Messages.MS.FRAC_V};
-sre.MathspeakUtil.closingFractionVerbose=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.END)+sre.Messages.MS.FRAC_V};sre.MathspeakUtil.overFractionVerbose=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.FRAC_OVER).trim()};sre.MathspeakUtil.openingFractionBrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.START)+sre.Messages.MS.FRAC_B};
-sre.MathspeakUtil.closingFractionBrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a+1).join(sre.Messages.MS.END)+sre.Messages.MS.FRAC_B};sre.MathspeakUtil.openingFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.FRAC_S:sre.Messages.MS.NEST_FRAC+sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1)+sre.Messages.MS.FRAC_S};
-sre.MathspeakUtil.closingFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.ENDFRAC:sre.Messages.MS.NEST_FRAC+sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1)+sre.Messages.MS.ENDFRAC};sre.MathspeakUtil.overFractionSbrief=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return 1===a?sre.Messages.MS.FRAC_OVER:sre.Messages.MS.NEST_FRAC+sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(a-1)+sre.Messages.MS.OVER};sre.MathspeakUtil.onesNumbers=" one two three four five six seven eight nine ten eleven twelve thirteen fourteen fifteen sixteen seventeen eighteen nineteen".split(" ");
-sre.MathspeakUtil.tensNumbers="  twenty thirty forty fifty sixty seventy eighty ninety".split(" ");sre.MathspeakUtil.largeNumbers=" thousand million billion trillion quadrillion quintillion sextillion septillion octillion nonillion decillion".split(" ");
-sre.MathspeakUtil.hundredsToWords=function(a){a%=1E3;var b=sre.MathspeakUtil.onesNumbers[Math.floor(a/100)]?sre.MathspeakUtil.onesNumbers[Math.floor(a/100)]+"-hundred":"";(a%=100)&&(b=b+(b?"-":"")+(sre.MathspeakUtil.onesNumbers[a]||sre.MathspeakUtil.tensNumbers[Math.floor(a/10)]+"-"+sre.MathspeakUtil.onesNumbers[a%10]));return b};
-sre.MathspeakUtil.numberToWords=function(a){if(a>=Math.pow(10,36))return a.toString();for(var b=0,c="";0<a;)a%1E3&&(c=sre.MathspeakUtil.hundredsToWords(a%1E3)+(b?"-"+sre.MathspeakUtil.largeNumbers[b]+"-":"")+c),a=Math.floor(a/1E3),b++;return c};
-sre.MathspeakUtil.numberToOrdinal=function(a,b){if(2===a)return b?"halves":"half";a=sre.MathspeakUtil.numberToWords(a);a=a.match(/one$/)?a.slice(0,-3)+"first":a.match(/two$/)?a.slice(0,-3)+"second":a.match(/three$/)?a.slice(0,-5)+"third":a.match(/five$/)?a.slice(0,-4)+"fifth":a.match(/eight$/)?a.slice(0,-5)+"eighth":a.match(/nine$/)?a.slice(0,-4)+"ninth":a.match(/twelve$/)?a.slice(0,-6)+"twelfth":a.match(/ty$/)?a.slice(0,-2)+"tieth":a+"th";return b?a+"s":a};
-sre.MathspeakUtil.simpleOrdinal=function(a){var b=a%100,c=a.toString();if(10<b&&20>b)return c+"th";switch(a%10){case 1:return c+"st";case 2:return c+"nd";case 3:return c+"rd";default:return c+"th"}};sre.MathspeakUtil.ordinalCounter=function(a,b){var c=0;return function(){return sre.MathspeakUtil.simpleOrdinal(++c)+" "+b}};
-sre.MathspeakUtil.convertVulgarFraction_=function(a){if(!a.childNodes||!a.childNodes[0]||!a.childNodes[0].childNodes||2>a.childNodes[0].childNodes.length||a.childNodes[0].childNodes[0].tagName!==sre.SemanticAttr.Type.NUMBER||a.childNodes[0].childNodes[0].getAttribute("role")!==sre.SemanticAttr.Role.INTEGER||a.childNodes[0].childNodes[1].tagName!==sre.SemanticAttr.Type.NUMBER||a.childNodes[0].childNodes[1].getAttribute("role")!==sre.SemanticAttr.Role.INTEGER)return{convertible:!1,content:a.textContent};
-var b=a.childNodes[0].childNodes[1].textContent;a=a.childNodes[0].childNodes[0].textContent;var c=Number(b),d=Number(a);return isNaN(c)||isNaN(d)?{convertible:!1,content:a+" "+sre.Messages.MS.FRAC_OVER+" "+b}:{convertible:!0,enumerator:d,denominator:c}};
-sre.MathspeakUtil.vulgarFraction=function(a){a=sre.MathspeakUtil.convertVulgarFraction_(a);return a.convertible&&a.enumerator&&a.denominator?sre.MathspeakUtil.numberToWords(a.enumerator)+"-"+sre.MathspeakUtil.numberToOrdinal(a.denominator,1!==a.enumerator):a.content||""};sre.MathspeakUtil.vulgarFractionSmall=function(a){var b=sre.MathspeakUtil.convertVulgarFraction_(a);return b.convertible?(a=b.enumerator,b=b.denominator,0<a&&10>a&&0<b&&100>b):!1};
-sre.MathspeakUtil.isSmallVulgarFraction=function(a){return sre.MathspeakUtil.vulgarFractionSmall(a)?[a]:[]};
-sre.MathspeakUtil.nestedSubSuper=function(a,b,c){for(;a.parentNode;){var d=a.parentNode,e=d.parentNode,f=a.getAttribute&&a.getAttribute("role");if(e.tagName===sre.Semantic.Type.SUBSCRIPT&&a===d.childNodes[1]||e.tagName===sre.Semantic.Type.TENSOR&&f&&(f===sre.Semantic.Role.LEFTSUB||f===sre.Semantic.Role.RIGHTSUB))b=c.sub+" "+b;if(e.tagName===sre.Semantic.Type.SUPERSCRIPT&&a===d.childNodes[1]||e.tagName===sre.Semantic.Type.TENSOR&&f&&(f===sre.Semantic.Role.LEFTSUPER||f===sre.Semantic.Role.RIGHTSUPER))b=
-c.sup+" "+b;a=e}return b.trim()};sre.MathspeakUtil.subscriptVerbose=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUBSCRIPT,{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB})};sre.MathspeakUtil.subscriptBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUB,{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})};
-sre.MathspeakUtil.superscriptVerbose=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUPERSCRIPT,{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB})};sre.MathspeakUtil.superscriptBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,sre.Messages.MS.SUP,{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})};
-sre.MathspeakUtil.baselineVerbose=function(a){return(a=sre.MathspeakUtil.nestedSubSuper(a,"",{sup:sre.Messages.MS.SUPER,sub:sre.Messages.MS.SUB}))?a.replace(new RegExp(sre.Messages.MS.SUB+"$"),sre.Messages.MS.SUBSCRIPT).replace(new RegExp(sre.Messages.MS.SUPER+"$"),sre.Messages.MS.SUPERSCRIPT):sre.Messages.MS.BASELINE};sre.MathspeakUtil.baselineBrief=function(a){return sre.MathspeakUtil.nestedSubSuper(a,"",{sup:sre.Messages.MS.SUP,sub:sre.Messages.MS.SUB})||sre.Messages.MS.BASE};
-sre.MathspeakUtil.radicalNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("radical",a,["sqrt","root"],sre.MathspeakUtil.nestingBarriers,{})};sre.MathspeakUtil.nestedRadical=function(a,b,c){var d=sre.MathspeakUtil.radicalNestingDepth(a);c=(a=sre.MathspeakUtil.getRootIndex(a))?sre.Messages.MS_FUNC.COMBINE_ROOT_INDEX(c,a):c;return 1===d?c:b+sre.Messages.MS_FUNC.RADICAL_NEST_DEPTH(d-1)+c};
-sre.MathspeakUtil.getRootIndex=function(a){a="sqrt"===a.tagName?"2":sre.XpathUtil.evalXPath("children/*[1]",a)[0].textContent.trim();return sre.Messages.MS_ROOT_INDEX[a]||""};sre.MathspeakUtil.openingRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.STARTROOT)};sre.MathspeakUtil.closingRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.ENDROOT)};
-sre.MathspeakUtil.indexRadicalVerbose=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NESTED,sre.Messages.MS.ROOTINDEX)};sre.MathspeakUtil.openingRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.STARTROOT)};sre.MathspeakUtil.closingRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ENDROOT)};
-sre.MathspeakUtil.indexRadicalBrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ROOTINDEX)};sre.MathspeakUtil.openingRadicalSbrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.ROOT)};sre.MathspeakUtil.indexRadicalSbrief=function(a){return sre.MathspeakUtil.nestedRadical(a,sre.Messages.MS.NEST_ROOT,sre.Messages.MS.INDEX)};
-sre.MathspeakUtil.underscoreNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("underscore",a,["underscore"],sre.MathspeakUtil.nestingBarriers,{},function(a){return a.tagName&&a.tagName===sre.Semantic.Type.UNDERSCORE&&a.childNodes[0].childNodes[1].getAttribute("role")===sre.Semantic.Role.UNDERACCENT})};sre.MathspeakUtil.nestedUnderscore=function(a){a=sre.MathspeakUtil.underscoreNestingDepth(a);return Array(a).join(sre.Messages.MS.UNDER)+sre.Messages.MS.UNDERSCRIPT};
-sre.MathspeakUtil.overscoreNestingDepth=function(a){return sre.MathspeakUtil.getNestingDepth("overscore",a,["overscore"],sre.MathspeakUtil.nestingBarriers,{},function(a){return a.tagName&&a.tagName===sre.Semantic.Type.OVERSCORE&&a.childNodes[0].childNodes[1].getAttribute("role")===sre.Semantic.Role.OVERACCENT})};sre.MathspeakUtil.nestedOverscore=function(a){a=sre.MathspeakUtil.overscoreNestingDepth(a);return Array(a).join(sre.Messages.MS.OVER)+sre.Messages.MS.OVERSCRIPT};
-sre.MathspeakUtil.determinantIsSimple=function(a){if(a.tagName!==sre.Semantic.Type.MATRIX||a.getAttribute("role")!==sre.Semantic.Role.DETERMINANT)return[];for(var b=sre.XpathUtil.evalXPath("children/row/children/cell/children/*",a),c=0,d;d=b[c];c++)if(d.tagName!==sre.Semantic.Type.NUMBER){if(d.tagName===sre.Semantic.Type.IDENTIFIER&&(d=d.getAttribute("role"),d===sre.Semantic.Role.LATINLETTER||d===sre.Semantic.Role.GREEKLETTER||d===sre.Semantic.Role.OTHERLETTER))continue;return[]}return[a]};
-sre.MathspeakUtil.generateBaselineConstraint=function(){var a=function(a){return a.map(function(a){return"ancestor::"+a})},b="not("+a(["subscript","superscript","tensor"]).join(" or ")+")",c=a(["relseq","multrel"]);a=a(["fraction","punctuation","fenced","sqrt","root"]);for(var d=[],e=0,f;f=a[e];e++)d=d.concat(c.map(function(a){return f+"/"+a}));c="not("+d.join(" | ")+")";return["ancestor::*/following-sibling::*",b,c].join(" and ")};
-sre.MathspeakUtil.removeParens=function(a){if(!a.childNodes.length||!a.childNodes[0].childNodes.length||!a.childNodes[0].childNodes[0].childNodes.length)return"";a=a.childNodes[0].childNodes[0].childNodes[0].textContent;return a.match(/^\(.+\)$/)?a.slice(1,-1):a};sre.Locale={};sre.Locale.nestingToString=function(a){switch(a){case 1:return"";case 2:return sre.Messages.MS.TWICE;default:return a.toString()}};sre.Locale.vulgarNestingDepth=function(a){return sre.MathspeakUtil.vulgarFractionSmall(a)};sre.Locale.combinePostfixIndex=function(a,b){return a===sre.Messages.MS.ROOTINDEX||a===sre.Messages.MS.INDEX?a:a+" "+b};sre.Locale.localFont=function(a){return sre.Messages.FONT[a]||a};sre.Grammar.getInstance().setCorrection("localFont",sre.Locale.localFont);
-sre.Locale.localRole=function(a){return sre.Messages.ROLE[a]||a};sre.Grammar.getInstance().setCorrection("localRole",sre.Locale.localRole);sre.Locale.localEnclose=function(a){return sre.Messages.ENCLOSE[a]||a};sre.Grammar.getInstance().setCorrection("localEnclose",sre.Locale.localEnclose);sre.Locale.en={MS:{START:"Start",FRAC_V:"Fraction",FRAC_B:"Frac",FRAC_S:"Frac",END:"End",FRAC_OVER:"Over",TWICE:"Twice",NEST_FRAC:"Nest",ENDFRAC:"EndFrac",SUPER:"Super",SUB:"Sub",SUP:"Sup",SUPERSCRIPT:"Superscript",SUBSCRIPT:"Subscript",BASELINE:"Baseline",BASE:"Base",NESTED:"Nested",NEST_ROOT:"Nest",STARTROOT:"StartRoot",ENDROOT:"EndRoot",ROOTINDEX:"RootIndex",ROOT:"Root",INDEX:"Index",UNDER:"Under",UNDERSCRIPT:"Underscript",OVER:"Over",OVERSCRIPT:"Overscript"},MS_FUNC:{FRAC_NEST_DEPTH:sre.Locale.vulgarNestingDepth,
-RADICAL_NEST_DEPTH:sre.Locale.nestingToString,COMBINE_ROOT_INDEX:function(a,b){return a}},MS_ROOT_INDEX:{},FONT:{},ROLE:{addition:"addition",multiplication:"multiplication",subtraction:"subtraction",division:"division",equality:"equality",inequality:"inequality",element:"element",arrow:"arrow",determinant:"determinant",rowvector:"row vector",binomial:"binomial",squarematrix:"square matrix",multiline:"multiple lines",matrix:"matrix",vector:"vector",cases:"case statement",table:"table",unknown:"unknown"},
-ENCLOSE:{longdiv:"long division",actuarial:"actuarial symbol",radical:"square root",box:"box",roundedbox:"rounded box",circle:"circle",left:"left vertical-line",right:"right vertical-line",top:"overbar",bottom:"underbar",updiagonalstrike:"crossout",downdiagonalstrike:"crossout",verticalstrike:"vertical strikeout",horizontalstrike:"crossout",madruwb:"Arabic factorial symbol",updiagonalarrow:"diagonal arrow",phasorangle:"phasor angle",unknown:"long division"},NAVIGATE:{COLLAPSIBLE:"collapsible",EXPANDABLE:"expandable",
-LEVEL:"Level"}};sre.Locale.es={MS:{START:"empezar ",FRAC_V:"fracci\u00f3n",FRAC_B:"frac",FRAC_S:"frac",END:"finalizar ",FRAC_OVER:"entre ",TWICE:"",NEST_FRAC:"",ENDFRAC:"",SUPER:"super",SUB:"sub",SUP:"sup",SUPERSCRIPT:"super\u00edndice",SUBSCRIPT:"sub\u00edndice",BASELINE:"l\u00ednea base",BASE:"",NESTED:"",NEST_ROOT:"",STARTROOT:"empezar ra\u00edz",ENDROOT:"finalizar ra\u00edz",ROOTINDEX:"\u00edndice de ra\u00edz",ROOT:"ra\u00edz",INDEX:"",UNDER:"bajo",UNDERSCRIPT:"bajo\u00edndice",OVER:"sobre",OVERSCRIPT:"sobre\u00edndice"},
-MS_FUNC:{FRAC_NEST_DEPTH:function(a){return!1},RADICAL_NEST_DEPTH:function(a){return""},COMBINE_ROOT_INDEX:sre.Locale.combinePostfixIndex},MS_ROOT_INDEX:{2:"cuadrada",3:"c\u00fabica",4:"a la cuarta",5:"a la quinta",6:"a la sexta",7:"a la s\u00e9ptima",8:"a la octava",9:"a la novena",10:"a la d\u00e9cima"},FONT:{bold:"negrita","bold-fraktur":"negrita Fraktur","bold-italic":"negrita cursiva","bold-script":"negrita script",caligraphic:"caligr\u00e1fica","caligraphic-bold":"caligr\u00e1fica negrita",
-"double-struck":"negrita de pizarra","double-struck-italic":"negrita de pizarra cursiva",fraktur:"Fraktur",italic:"cursiva",monospace:"monoespacio",normal:"normal",oldstyle:"estilo antiguo","oldstyle-bold":"estilo antiguo negrita",script:"script","sans-serif":"sans-serif","sans-serif-italic":"sans-serif cursiva","sans-serif-bold":"sans-serif negrita","sans-serif-bold-italic":"sans-serif negrita cursiva",unknown:"desconocida"},ROLE:{addition:"adici\u00f3n",multiplication:"multiplicaci\u00f3n",subtraction:"resta",
-division:"divisi\u00f3n",equality:"igualdad",inequality:"desigualdad",element:"elemento",arrow:"flecha",determinant:"determinante",rowvector:"fila vector",binomial:"binomial",squarematrix:"matriz cuadrada",multiline:"l\u00edneas m\u00faltiples",matrix:"matriz",vector:"vector",cases:"declaraci\u00f3n de caso",table:"mesa",unknown:"desconocida"},ENCLOSE:{longdiv:"divisi\u00f3n larga",actuarial:"s\u00edmbolo actuarial",radical:"ra\u00edz cuadrada",box:"caja",roundedbox:"caja redondeada",circle:"c\u00edrculo",
-left:"barra vertical izquierda",right:"barra vertical derecha",top:"barra",bottom:"subbarra",updiagonalstrike:"tachadura",downdiagonalstrike:"tachadura",verticalstrike:"ponchado vertical",horizontalstrike:"cruce",madruwb:"s\u00edmbolo factorial \u00e1rabe",updiagonalarrow:"flecha diagonal",phasorangle:"\u00e1ngulo de fasores",unknown:"divisi\u00f3n larga"},NAVIGATE:{COLLAPSIBLE:"plegable",EXPANDABLE:"ampliable",LEVEL:"nivel"}};sre.L10n={};sre.L10n.setLocale=function(){var a=sre.L10n.getLocale();if(a)for(var b in a)sre.Messages[b]=a[b]};sre.L10n.getLocale=function(){return sre.Locale[sre.Engine.getInstance().locale]||sre.Locale.en};sre.AuditoryDescription=function(a){this.context=a.context||"";this.text=a.text||"";this.userValue=a.userValue||"";this.annotation=a.annotation||"";this.personality=a.personality||{}};sre.AuditoryDescription.create=function(a,b){a.text=sre.Grammar.getInstance().apply(a.text,b||{});return new sre.AuditoryDescription(a)};sre.AuditoryDescription.prototype.isEmpty=function(){return 0==this.context.length&&0==this.text.length&&0==this.userValue.length&&0==this.annotation.length};
-sre.AuditoryDescription.prototype.clone=function(){if(this.personality){var a={};for(var b in this.personality)a=this.personality[b]}return new sre.AuditoryDescription({context:this.context,text:this.text,userValue:this.userValue,annotation:this.annotation,personality:a})};sre.AuditoryDescription.prototype.toString=function(){return'AuditoryDescription(context="'+this.context+'"  text="'+this.text+'"  userValue="'+this.userValue+'"  annotation="'+this.annotation+'")'};
-sre.AuditoryDescription.prototype.descriptionString=function(){return this.context&&this.text?this.context+" "+this.text:this.context||this.text};sre.AuditoryDescription.prototype.equals=function(a){return this.context==a.context&&this.text==a.text&&this.userValue==a.userValue&&this.annotation==a.annotation};sre.SpeechRule=function(a,b,c,d){this.name=a;this.dynamicCstr=b;this.precondition=c;this.action=d};sre.SpeechRule.prototype.toString=function(){return this.name+" | "+this.dynamicCstr.toString()+" | "+this.precondition.toString()+" ==> "+this.action.toString()};sre.SpeechRule.Type={NODE:"NODE",MULTI:"MULTI",TEXT:"TEXT",PERSONALITY:"PERSONALITY"};
+sre.SvgHighlighter.prototype.highlightNode=function(a){if(this.isHighlighted(a))return{node:a.previousSibling||a,background:a.style.backgroundColor,foreground:a.style.color};if("svg"===a.tagName){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color};a.style.backgroundColor=this.colorString().background;a.style.color=this.colorString().foreground;return b}b=sre.DomUtil.createElementNS("http://www.w3.org/2000/svg","rect");if("use"===a.nodeName){var c=sre.DomUtil.createElementNS("http://www.w3.org/2000/svg",
+"g");a.parentNode.insertBefore(c,a);c.appendChild(a);var d=c.getBBox();c.parentNode.replaceChild(a,c)}else d=a.getBBox();b.setAttribute("x",d.x-40);b.setAttribute("y",d.y-40);b.setAttribute("width",d.width+80);b.setAttribute("height",d.height+80);(d=a.getAttribute("transform"))&&b.setAttribute("transform",d);b.setAttribute("fill",this.colorString().background);b.setAttribute(sre.AbstractHighlighter.ATTR,!0);a.parentNode.insertBefore(b,a);b={node:b,foreground:a.getAttribute("fill")};a.setAttribute("fill",
+this.colorString().foreground);return b};sre.SvgHighlighter.prototype.setHighlighted=function(a){"svg"===a.tagName&&sre.SvgHighlighter.superClass_.setHighlighted.call(this,a)};sre.SvgHighlighter.prototype.unhighlightNode=function(a){"background"in a?(a.node.style.backgroundColor=a.background,a.node.style.color=a.foreground):(a.foreground?a.node.nextSibling.setAttribute("fill",a.foreground):a.node.nextSibling.removeAttribute("fill"),a.node.parentNode.removeChild(a.node))};
+sre.SvgHighlighter.prototype.isMactionNode=function(a){a=a.className||a.getAttribute("class");return(a=void 0!==a.baseVal?a.baseVal:a)?a.match(new RegExp(this.mactionName)):!1};sre.SvgV3Highlighter=function(){sre.SvgHighlighter.call(this);this.mactionName="maction"};goog.inherits(sre.SvgV3Highlighter,sre.SvgHighlighter);
+sre.SvgV3Highlighter.prototype.highlightNode=function(a){if(this.isHighlighted(a))return{node:a,background:this.colorString().background,foreground:this.colorString().foreground};if("svg"===a.tagName||"MJX-CONTAINER"===a.tagName){var b={node:a,background:a.style.backgroundColor,foreground:a.style.color};a.style.backgroundColor=this.colorString().background;a.style.color=this.colorString().foreground;return b}b=sre.DomUtil.createElementNS("http://www.w3.org/2000/svg","rect");b.setAttribute("sre-highlighter-added",
+!0);var c=a.getBBox();b.setAttribute("x",c.x-40);b.setAttribute("y",c.y-40);b.setAttribute("width",c.width+80);b.setAttribute("height",c.height+80);(c=a.getAttribute("transform"))&&b.setAttribute("transform",c);b.setAttribute("fill",this.colorString().background);a.parentNode.insertBefore(b,a);b={node:a,foreground:a.getAttribute("fill")};"rect"===a.nodeName?(c=new sre.ColorPicker({alpha:0,color:"black"}),a.setAttribute("fill",c.rgba().foreground)):a.setAttribute("fill",this.colorString().foreground);
+return b};sre.SvgV3Highlighter.prototype.unhighlightNode=function(a){var b=a.node.previousSibling;b&&b.hasAttribute("sre-highlighter-added")?(a.foreground?a.node.setAttribute("fill",a.foreground):a.node.removeAttribute("fill"),a.node.parentNode.removeChild(b)):(a.node.style.backgroundColor=a.background,a.node.style.color=a.foreground)};sre.SvgV3Highlighter.prototype.isMactionNode=function(a){return a.getAttribute("data-mml-node")===this.mactionName};
+sre.SvgV3Highlighter.prototype.getMactionNodes=function(a){return sre.XpathUtil.evalXPath('.//*[@data-mml-node="'+this.mactionName+'"]',a)};sre.HighlighterFactory={};sre.HighlighterFactory.highlighter=function(a,b,c){a=new sre.ColorPicker(a,b);c=new (sre.HighlighterFactory.highlighterMapping_["NativeMML"===c.renderer&&"Safari"===c.browser?"MML-CSS":"SVG"===c.renderer&&"v3"===c.browser?"SVG-V3":c.renderer]||sre.HighlighterFactory.highlighterMapping_.NativeMML);c.setColor(a);return c};sre.HighlighterFactory.addEvents=function(a,b,c){(c=sre.HighlighterFactory.highlighterMapping_[c.renderer])&&(new c).addEvents(a,b)};
+sre.HighlighterFactory.highlighterMapping_={SVG:sre.SvgHighlighter,"SVG-V3":sre.SvgV3Highlighter,NativeMML:sre.MmlHighlighter,"HTML-CSS":sre.HtmlHighlighter,"MML-CSS":sre.MmlCssHighlighter,CommonHTML:sre.CssHighlighter,CHTML:sre.ChtmlHighlighter};sre.Span=function(a,b){this.string=a;this.attributes=b};sre.AudioUtil={};sre.AudioUtil.mergePause=function(a,b,c){return a?{pause:sre.AudioUtil.mergePause_(a.pause,b.pause,c)}:b};sre.AudioUtil.mergePause_=function(a,b,c){return(c||function(d,e){return"number"===typeof d||"number"===typeof e?d+e:"number"===typeof d?e:"number"===typeof e?d:[a,b].sort()[0]}).call(null,a,b)};sre.AudioUtil.mergeMarkup=function(a,b){delete a.open;b.close.forEach(function(d){delete a[d]});b.open.forEach(function(d){a[d]=b[d]});var c=Object.keys(a);a.open=c};
+sre.AudioUtil.sortClose=function(a,b){if(1>=a.length)return a;for(var c=[],d=0,e;e=b[d],a.length;d++)e.close&&e.close.length&&e.close.forEach(function(f){var g=a.indexOf(f);-1!==g&&(c.unshift(f),a.splice(g,1))});return c};sre.AudioUtil.PersonalityRanges_={};sre.AudioUtil.LastOpen_=[];
+sre.AudioUtil.personalityMarkup=function(a){sre.AudioUtil.PersonalityRanges_={};sre.AudioUtil.LastOpen_=[];for(var b=[],c={},d=0,e;e=a[d];d++){var f=null,g=e.descriptionSpan(),h=e.personality;e=h[sre.Engine.personalityProps.JOIN];delete h[sre.Engine.personalityProps.JOIN];"undefined"!==typeof h[sre.Engine.personalityProps.PAUSE]&&(f={},f[sre.Engine.personalityProps.PAUSE]=h[sre.Engine.personalityProps.PAUSE],delete h[sre.Engine.personalityProps.PAUSE]);h=sre.AudioUtil.personalityDiff_(h,c);sre.AudioUtil.appendMarkup_(b,
+g,h,e,f,!0)}b=b.concat(sre.AudioUtil.finaliseMarkup_());return b=sre.AudioUtil.simplifyMarkup_(b)};
+sre.AudioUtil.appendElement_=function(a,b){var c=a[a.length-1];if(c)if(sre.AudioUtil.isSpanElement(b)&&sre.AudioUtil.isSpanElement(c))if("undefined"===typeof c.join)c.span=c.span.concat(b.span);else{a=c.span.pop();var d=b.span.shift();c.span.push(a+c.join+d);c.span=c.span.concat(b.span);c.join=b.join}else sre.AudioUtil.isPauseElement(b)&&sre.AudioUtil.isPauseElement(c)?c.pause=sre.AudioUtil.mergePause_(c.pause,b.pause):a.push(b);else a.push(b)};
+sre.AudioUtil.simplifyMarkup_=function(a){for(var b={},c=[],d=0,e;e=a[d];d++)if(sre.AudioUtil.isMarkupElement(e))if(!e.close||1!==e.close.length||e.open.length)sre.AudioUtil.copyValues_(e,b),c.push(e);else{var f=a[d+1];if(!f||sre.AudioUtil.isSpanElement(f))sre.AudioUtil.copyValues_(e,b),c.push(e);else{var g=sre.AudioUtil.isPauseElement(f)?f:null;g&&(f=a[d+2]);f&&sre.AudioUtil.isMarkupElement(f)&&f.open[0]===e.close[0]&&!f.close.length&&f[f.open[0]]===b[f.open[0]]?g?(sre.AudioUtil.appendElement_(c,
+g),d+=2):d+=1:(sre.AudioUtil.copyValues_(e,b),c.push(e))}}else sre.AudioUtil.appendElement_(c,e);return c};sre.AudioUtil.copyValues_=function(a,b){a.rate&&(b.rate=a.rate);a.pitch&&(b.pitch=a.pitch);a.volume&&(b.volume=a.volume)};sre.AudioUtil.finaliseMarkup_=function(){for(var a=[],b=sre.AudioUtil.LastOpen_.length-1;0<=b;b--){var c=sre.AudioUtil.LastOpen_[b];if(c.length){for(var d={open:[],close:[]},e=0;e<c.length;e++){var f=c[e];d.close.push(f);d[f]=0}a.push(d)}}return a};
+sre.AudioUtil.isMarkupElement=function(a){return"object"===typeof a&&a.open};sre.AudioUtil.isPauseElement=function(a){return"object"===typeof a&&1===Object.keys(a).length&&Object.keys(a)[0]===sre.Engine.personalityProps.PAUSE};sre.AudioUtil.isSpanElement=function(a){var b=Object.keys(a);return"object"===typeof a&&(1===b.length&&"span"===b[0]||2===b.length&&("span"===b[0]&&"join"===b[1]||"span"===b[1]&&"join"===b[0]))};
+sre.AudioUtil.appendMarkup_=function(a,b,c,d,e,f){if(f){if(f=a[a.length-1])var g=f[sre.Engine.personalityProps.JOIN];if(f&&!b.string&&e&&sre.AudioUtil.isPauseElement(f)){var h=sre.Engine.personalityProps.PAUSE;f[h]=sre.AudioUtil.mergePause_(f[h],e[h]);e=null}f&&b.string&&0===Object.keys(c).length&&sre.AudioUtil.isSpanElement(f)&&("undefined"!==typeof g&&(h=f.span.pop(),b=new sre.Span(h.string+g+b.string,h.attributes)),f.span.push(b),b=new sre.Span("",{}),f[sre.Engine.personalityProps.JOIN]=d)}0!==
+Object.keys(c).length&&a.push(c);b.string&&a.push({span:[b],join:d});e&&a.push(e)};
+sre.AudioUtil.personalityDiff_=function(a,b){if(!b)return a;var c={};for(h in sre.Engine.personalityProps){var d=sre.Engine.personalityProps[h],e=a[d],f=b[d];if(!(!e&&!f||e&&f&&e===f)){var g=e||0;sre.AudioUtil.isMarkupElement(c)||(c.open=[],c.close=[]);e||c.close.push(d);f||c.open.push(d);f&&e&&(c.close.push(d),c.open.push(d));b[d]=g;c[d]=g;sre.AudioUtil.PersonalityRanges_[d]?sre.AudioUtil.PersonalityRanges_[d].push(g):sre.AudioUtil.PersonalityRanges_[d]=[g]}}if(sre.AudioUtil.isMarkupElement(c)){for(a=
+c.close.slice();0<a.length;){var h=sre.AudioUtil.LastOpen_.pop();d=sre.BaseUtil.setdifference(h,a);a=sre.BaseUtil.setdifference(a,h);h=d;if(0===a.length)0!==h.length&&sre.AudioUtil.LastOpen_.push(h);else if(0!==h.length)for(c.close=c.close.concat(h),c.open=c.open.concat(h),d=0;e=h[d];d++)c[e]=b[e]}sre.AudioUtil.LastOpen_.push(c.open)}return c};sre.AudioRenderer=function(){};sre.AudioRenderer.prototype.setSeparator=function(a){};sre.AudioRenderer.prototype.getSeparator=function(){};sre.AudioRenderer.prototype.markup=function(a){};sre.AudioRenderer.prototype.error=function(a){};sre.AudioRenderer.prototype.merge=function(a){};sre.AudioRenderer.prototype.finalize=function(a){};sre.AbstractAudioRenderer=function(){this.separator_=" "};sre.AbstractAudioRenderer.prototype.setSeparator=function(a){this.separator_=a};sre.AbstractAudioRenderer.prototype.getSeparator=function(){return this.separator_};sre.AbstractAudioRenderer.prototype.markup=goog.abstractMethod;sre.AbstractAudioRenderer.prototype.error=function(a){return null};sre.AbstractAudioRenderer.prototype.merge=function(a){return a.map(function(b){return b.string}).join(this.getSeparator())};
+sre.AbstractAudioRenderer.prototype.finalize=function(a){return a};sre.AbstractAudioRenderer.prototype.pauseValue=function(a){switch(a){case "long":a=750;break;case "medium":a=500;break;case "short":a=250;break;default:a=parseInt(a,10)}return Math.floor(a*parseInt(sre.Engine.getInstance().getRate(),10)/100)};sre.MarkupRenderer=function(){sre.AbstractAudioRenderer.call(this);this.scaleFunction_=null};goog.inherits(sre.MarkupRenderer,sre.AbstractAudioRenderer);sre.MarkupRenderer.prototype.setScaleFunction=function(a,b,c,d,e){var f=e||0;this.scaleFunction_=function(g){g=(g-a)/(b-a);return+(Math.round(c*(1-g)+d*g+"e+"+f)+"e-"+f)}};sre.MarkupRenderer.prototype.applyScaleFunction=function(a){return this.scaleFunction_?this.scaleFunction_(a):a};sre.MarkupRenderer.prototype.pause=goog.abstractMethod;
+sre.MarkupRenderer.prototype.prosodyElement=goog.abstractMethod;sre.AcssRenderer=function(){sre.MarkupRenderer.call(this)};goog.inherits(sre.AcssRenderer,sre.MarkupRenderer);
+sre.AcssRenderer.prototype.markup=function(a){this.setScaleFunction(-2,2,0,10,0);a=sre.AudioUtil.personalityMarkup(a);for(var b=[],c={open:[]},d=null,e=!1,f=0,g;g=a[f];f++)if(sre.AudioUtil.isMarkupElement(g))sre.AudioUtil.mergeMarkup(c,g);else if(sre.AudioUtil.isPauseElement(g))e&&(d=sre.AudioUtil.mergePause(d,g,Math.max));else{g='"'+this.merge(g.span)+'"';e=!0;d&&(b.push(this.pause(d)),d=null);var h=this.prosody_(c);b.push(h?"(text ("+h+") "+g+")":g)}return"(exp "+b.join(" ")+")"};
+sre.AcssRenderer.prototype.error=function(a){return'(error "'+sre.EventUtil.Move[a.toString()]+'")'};sre.AcssRenderer.prototype.prosody_=function(a){for(var b=a.open,c=[],d=0,e;e=b[d];d++)c.push(this.prosodyElement(e,a[e]));return c.join(" ")};
+sre.AcssRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);switch(a){case sre.Engine.personalityProps.RATE:return"(richness . "+b+")";case sre.Engine.personalityProps.PITCH:return"(average-pitch . "+b+")";case sre.Engine.personalityProps.VOLUME:return"(stress . "+b+")"}return"(value . "+b+")"};sre.AcssRenderer.prototype.pause=function(a){return"(pause . "+this.pauseValue(a[sre.Engine.personalityProps.PAUSE])+")"};sre.PunctuationRenderer=function(){sre.AbstractAudioRenderer.call(this)};goog.inherits(sre.PunctuationRenderer,sre.AbstractAudioRenderer);
+sre.PunctuationRenderer.prototype.markup=function(a){a=sre.AudioUtil.personalityMarkup(a);for(var b="",c=null,d=!1,e=0,f;f=a[e];e++)sre.AudioUtil.isMarkupElement(f)||(sre.AudioUtil.isPauseElement(f)?d&&(c=sre.AudioUtil.mergePause(c,f,Math.max)):(c&&(b+=this.pause(c[sre.Engine.personalityProps.PAUSE]),c=null),b+=(d?this.getSeparator():"")+this.merge(f.span),d=!0));return b};sre.PunctuationRenderer.PAUSE_PUNCTUATION_={"short":",",medium:";","long":"."};
+sre.PunctuationRenderer.prototype.pause=function(a){return sre.PunctuationRenderer.PAUSE_PUNCTUATION_["number"===typeof a?250>=a?"short":500>=a?"medium":"long":a]||""};sre.XmlRenderer=function(){sre.MarkupRenderer.call(this)};goog.inherits(sre.XmlRenderer,sre.MarkupRenderer);
+sre.XmlRenderer.prototype.markup=function(a){this.setScaleFunction(-2,2,-100,100,2);a=sre.AudioUtil.personalityMarkup(a);for(var b=[],c=[],d=0,e;e=a[d];d++)if(e.span)b.push(this.merge(e.span));else if(sre.AudioUtil.isPauseElement(e))b.push(this.pause(e));else{if(e.close.length)for(var f=0;f<e.close.length;f++){var g=c.pop();if(-1===e.close.indexOf(g))throw new sre.Engine.Error("Unknown closing markup element: "+g);b.push(this.closeTag(g))}e.open.length&&sre.AudioUtil.sortClose(e.open.slice(),a.slice(d+
+1)).forEach(goog.bind(function(h){b.push(this.prosodyElement(h,e[h]));c.push(h)},this))}return b.join(" ")};sre.XmlRenderer.prototype.closeTag=goog.abstractMethod;sre.SableRenderer=function(){sre.XmlRenderer.call(this)};goog.inherits(sre.SableRenderer,sre.XmlRenderer);sre.SableRenderer.prototype.finalize=function(a){return'<?xml version="1.0"?><!DOCTYPE SABLE PUBLIC "-//SABLE//DTD SABLE speech mark up//EN" "Sable.v0_2.dtd" []><SABLE>'+this.getSeparator()+a+this.getSeparator()+"</SABLE>"};sre.SableRenderer.prototype.pause=function(a){return'<BREAK MSEC="'+this.pauseValue(a[sre.Engine.personalityProps.PAUSE])+'"/>'};
+sre.SableRenderer.prototype.prosodyElement=function(a,b){b=this.applyScaleFunction(b);switch(a){case sre.Engine.personalityProps.PITCH:return'<PITCH RANGE="'+b+'%">';case sre.Engine.personalityProps.RATE:return'<RATE SPEED="'+b+'%">';case sre.Engine.personalityProps.VOLUME:return'<VOLUME LEVEL="'+b+'%">';default:return"<"+a.toUpperCase()+' VALUE="'+b+'">'}};sre.SableRenderer.prototype.closeTag=function(a){return"</"+a.toUpperCase()+">"};sre.SsmlRenderer=function(){sre.XmlRenderer.call(this)};goog.inherits(sre.SsmlRenderer,sre.XmlRenderer);sre.SsmlRenderer.prototype.finalize=function(a){return'<?xml version="1.0"?><speak version="1.1" xmlns="http://www.w3.org/2001/10/synthesis"><prosody rate="'+sre.Engine.getInstance().getRate()+'%">'+this.getSeparator()+a+this.getSeparator()+"</prosody></speak>"};sre.SsmlRenderer.prototype.pause=function(a){return'<break time="'+this.pauseValue(a[sre.Engine.personalityProps.PAUSE])+'ms"/>'};
+sre.SsmlRenderer.prototype.prosodyElement=function(a,b){b=Math.floor(this.applyScaleFunction(b));b=0>b?b.toString():"+"+b.toString();return"<prosody "+a.toLowerCase()+'="'+b+(a===sre.Engine.personalityProps.VOLUME?">":'%">')};sre.SsmlRenderer.prototype.closeTag=function(a){return"</prosody>"};sre.SsmlStepRenderer=function(){sre.SsmlRenderer.call(this)};goog.inherits(sre.SsmlStepRenderer,sre.SsmlRenderer);sre.SsmlStepRenderer.prototype.markup=function(a){sre.SsmlStepRenderer.MARKS={};return sre.SsmlStepRenderer.superClass_.markup.call(this,a)};sre.SsmlStepRenderer.CHARACTER_ATTR_="character";sre.SsmlStepRenderer.MARKS={};
+sre.SsmlStepRenderer.prototype.merge=function(a){for(var b=[],c=0;c<a.length;c++){var d=a[c],e=d.attributes.extid;e&&!sre.SsmlStepRenderer.MARKS[e]&&(b.push('<mark name="'+e+'"/>'),sre.SsmlStepRenderer.MARKS[e]=!0);1===d.string.length&&d.string.match(/[a-zA-Z]/)?b.push('<say-as interpret-as="'+sre.SsmlStepRenderer.CHARACTER_ATTR_+'">'+d.string+"</say-as>"):b.push(d.string)}return b.join(this.getSeparator())};sre.StringRenderer=function(){sre.AbstractAudioRenderer.call(this)};goog.inherits(sre.StringRenderer,sre.AbstractAudioRenderer);sre.StringRenderer.prototype.markup=function(a){var b="";a=a.filter(function(g){return g.descriptionString()});if(!a.length)return b;for(var c=0;c<a.length-1;c++){var d=a[c],e=d.personality[sre.Engine.personalityProps.JOIN],f="nemeth"===sre.Engine.getInstance().locale?"":this.getSeparator();e="undefined"===typeof e?f:e;b+=d.descriptionString()+e}return b+=a[c].descriptionString()};sre.AuralRendering=function(){};goog.addSingletonGetter(sre.AuralRendering);sre.AuralRendering.prototype.setSeparator=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];b&&b.setSeparator(a)};sre.AuralRendering.prototype.getSeparator=function(){var a=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return a?a.getSeparator():""};
+sre.AuralRendering.prototype.markup=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.markup(a):""};sre.AuralRendering.prototype.merge=function(a){var b=a.map(function(d){return{string:d,attributes:{}}}),c=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return c?c.merge(b):a.join()};
+sre.AuralRendering.prototype.finalize=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.finalize(a):a};sre.AuralRendering.prototype.error=function(a){var b=sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup];return b?b.error(a):""};sre.AuralRendering.registerRenderer=function(a,b){sre.AuralRendering.rendererMapping_[a]=b};
+sre.AuralRendering.ofType=function(a){return sre.AuralRendering.rendererMapping_[sre.Engine.getInstance().markup]instanceof a};sre.AuralRendering.rendererMapping_={};sre.AuralRendering.registerRenderer(sre.Engine.Markup.NONE,new sre.StringRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.PUNCTUATION,new sre.PunctuationRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.ACSS,new sre.AcssRenderer);sre.AuralRendering.registerRenderer(sre.Engine.Markup.SABLE,new sre.SableRenderer);
+sre.AuralRendering.xmlInstance=new sre.SsmlRenderer;sre.AuralRendering.registerRenderer(sre.Engine.Markup.VOICEXML,sre.AuralRendering.xmlInstance);sre.AuralRendering.registerRenderer(sre.Engine.Markup.SSML,sre.AuralRendering.xmlInstance);sre.AuralRendering.registerRenderer(sre.Engine.Markup.SSML_STEP,new sre.SsmlStepRenderer);sre.WalkerUtil={};sre.WalkerUtil.splitAttribute=function(a){return a?a.split(/,/):[]};sre.WalkerUtil.getAttribute=function(a,b){return sre.DomUtil.getDataAttribute(a,b)};sre.WalkerUtil.getSemanticRoot=function(a){if(a.hasAttribute(sre.EnrichMathml.Attribute.TYPE)&&!a.hasAttribute(sre.EnrichMathml.Attribute.PARENT))return a;for(var b=sre.DomUtil.querySelectorAllByAttr(a,sre.EnrichMathml.Attribute.TYPE),c=0,d;d=b[c];c++)if(!d.hasAttribute(sre.EnrichMathml.Attribute.PARENT))return d;return a};
+sre.WalkerUtil.getBySemanticId=function(a,b){return a.getAttribute(sre.EnrichMathml.Attribute.ID)===b?a:sre.DomUtil.querySelectorAllByAttrValue(a,sre.EnrichMathml.Attribute.ID,b)[0]};sre.RebuildStree=function(a){this.factory=new sre.SemanticNodeFactory;this.nodeDict={};this.mathml=a;this.mmlRoot=sre.WalkerUtil.getSemanticRoot(a);this.streeRoot=this.assembleTree(this.mmlRoot);this.stree=sre.SemanticTree.fromNode(this.streeRoot,this.mathml);this.xml=this.stree.xml();sre.SemanticProcessor.getInstance().setNodeFactory(this.factory)};sre.RebuildStree.prototype.getTree=function(){return this.stree};
+sre.RebuildStree.prototype.assembleTree=function(a){var b=this.makeNode(a),c=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CHILDREN)),d=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CONTENT));if(0===d.length&&0===c.length)return b.textContent=a.textContent,b;if(0<d.length){var e=sre.WalkerUtil.getBySemanticId(a,d[0]);e&&(e=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(e,sre.EnrichMathml.Attribute.OPERATOR)),
+1<e.length&&(b.textContent=e[1]))}e=function(f){f=sre.WalkerUtil.getBySemanticId(a,f);f=this.assembleTree(f);f.parent=b;return f};b.contentNodes=d.map(goog.bind(e,this));b.childNodes=c.map(goog.bind(e,this));return(c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.COLLAPSED))?this.postProcess(b,c):b};
+sre.RebuildStree.prototype.makeNode=function(a){var b=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.TYPE),c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ROLE),d=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.FONT),e=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ANNOTATION)||"",f=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ID),g=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.EMBELLISHED);a=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.FENCEPOINTER);
+f=this.createNode(parseInt(f,10));f.type=b;f.role=c;f.font=d?d:sre.SemanticAttr.Font.UNKNOWN;f.parseAnnotation(e);a&&(f.fencePointer=a);g&&(f.embellished=g);return f};sre.RebuildStree.isPunctuated=function(a){return!sre.SemanticSkeleton.simpleCollapseStructure(a)&&a[1]&&sre.SemanticSkeleton.contentCollapseStructure(a[1])};sre.RebuildStree.prototype.makePunctuation=function(a){a=this.createNode(a);a.updateContent(sre.SemanticAttr.invisibleComma());a.role=sre.SemanticAttr.Role.DUMMY;return a};
+sre.RebuildStree.prototype.makePunctuated=function(a,b,c){var d=this.createNode(b[0]);d.type=sre.SemanticAttr.Type.PUNCTUATED;d.embellished=a.embellished;d.fencePointer=a.fencePointer;d.role=c;a=b.splice(1,1)[0].slice(1);d.contentNodes=a.map(goog.bind(this.makePunctuation,this));this.collapsedChildren_(b)};sre.RebuildStree.prototype.makeEmpty=function(a,b,c){b=this.createNode(b);b.type=sre.SemanticAttr.Type.EMPTY;b.embellished=a.embellished;b.fencePointer=a.fencePointer;b.role=c};
+sre.RebuildStree.prototype.makeIndex=function(a,b,c){sre.RebuildStree.isPunctuated(b)?this.makePunctuated(a,b,c):sre.SemanticSkeleton.simpleCollapseStructure(b)&&!this.nodeDict[b.toString()]&&this.makeEmpty(a,b,c)};
+sre.RebuildStree.prototype.postProcess=function(a,b){b=sre.SemanticSkeleton.fromString(b).array;if(a.type===sre.SemanticAttr.Role.SUBSUP){var c=this.createNode(b[1][0]);c.type=sre.SemanticAttr.Type.SUBSCRIPT;c.role=sre.SemanticAttr.Role.SUBSUP;a.type=sre.SemanticAttr.Type.SUPERSCRIPT;c.embellished=a.embellished;c.fencePointer=a.fencePointer;this.makeIndex(a,b[1][2],sre.SemanticAttr.Role.RIGHTSUB);this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUPER);this.collapsedChildren_(b);return a}if(a.type===
+sre.SemanticAttr.Type.SUBSCRIPT)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUB),this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.SUPERSCRIPT)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUPER),this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.TENSOR)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.LEFTSUB),this.makeIndex(a,b[3],sre.SemanticAttr.Role.LEFTSUPER),this.makeIndex(a,b[4],sre.SemanticAttr.Role.RIGHTSUB),this.makeIndex(a,b[5],sre.SemanticAttr.Role.RIGHTSUPER),
+this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.PUNCTUATED)return sre.RebuildStree.isPunctuated(b)&&(b=b.splice(1,1)[0].slice(1),a.contentNodes=b.map(goog.bind(this.makePunctuation,this))),a;a.type===sre.SemanticAttr.Role.UNDEROVER&&(c=this.createNode(b[1][0]),a.childNodes[1].role===sre.SemanticAttr.Role.OVERACCENT?(c.type=sre.SemanticAttr.Type.OVERSCORE,a.type=sre.SemanticAttr.Type.UNDERSCORE):(c.type=sre.SemanticAttr.Type.UNDERSCORE,a.type=sre.SemanticAttr.Type.OVERSCORE),c.role=
+sre.SemanticAttr.Role.UNDEROVER,c.embellished=a.embellished,c.fencePointer=a.fencePointer,this.collapsedChildren_(b));return a};sre.RebuildStree.prototype.createNode=function(a){var b=this.factory.makeNode(a);return this.nodeDict[a.toString()]=b};
+sre.RebuildStree.prototype.collapsedChildren_=function(a){var b=goog.bind(function(c){var d=this.nodeDict[c[0]];d.childNodes=[];for(var e=1,f=c.length;e<f;e++){var g=c[e];d.childNodes.push(sre.SemanticSkeleton.simpleCollapseStructure(g)?this.nodeDict[g]:b(g))}return d},this);b(a)};sre.SpeechGenerator=function(){};sre.SpeechGenerator.prototype.getSpeech=function(a,b){};sre.SpeechGenerator.prototype.getRebuilt=function(){};sre.SpeechGenerator.prototype.setRebuilt=function(a){};sre.SpeechGenerator.prototype.setOptions=function(a){};sre.SpeechGenerator.prototype.getOptions=function(){};sre.SpeechGenerator.prototype.start=function(){};sre.SpeechGenerator.prototype.end=function(){};sre.AuditoryDescription=function(a){this.context=a.context||"";this.text=a.text||"";this.userValue=a.userValue||"";this.annotation=a.annotation||"";this.attributes=a.attributes||{};this.personality=a.personality||{}};sre.AuditoryDescription.create=function(a,b){a.text=sre.Grammar.getInstance().apply(a.text,b||{});return new sre.AuditoryDescription(a)};sre.AuditoryDescription.prototype.isEmpty=function(){return 0==this.context.length&&0==this.text.length&&0==this.userValue.length&&0==this.annotation.length};
+sre.AuditoryDescription.prototype.clone=function(){if(this.personality){var a={};for(var b in this.personality)a=this.personality[b]}if(this.attributes){var c={};for(b in this.attributes)c=this.attributes[b]}return new sre.AuditoryDescription({context:this.context,text:this.text,userValue:this.userValue,annotation:this.annotation,personality:a,attributes:c})};
+sre.AuditoryDescription.prototype.toString=function(){return'AuditoryDescription(context="'+this.context+'"  text="'+this.text+'"  userValue="'+this.userValue+'"  annotation="'+this.annotation+'")'};sre.AuditoryDescription.prototype.descriptionString=function(){return this.context&&this.text?this.context+" "+this.text:this.context||this.text};sre.AuditoryDescription.prototype.descriptionSpan=function(){return new sre.Span(this.descriptionString(),this.attributes)};
+sre.AuditoryDescription.prototype.equals=function(a){return this.context==a.context&&this.text==a.text&&this.userValue==a.userValue&&this.annotation==a.annotation};sre.SpeechRule=function(a,b,c,d){this.name=a;this.dynamicCstr=b;this.precondition=c;this.action=d;this.context=null};sre.SpeechRule.prototype.toString=function(){return this.name+" | "+this.dynamicCstr.toString()+" | "+this.precondition.toString()+" ==> "+this.action.toString()};sre.SpeechRule.Type={NODE:"NODE",MULTI:"MULTI",TEXT:"TEXT",PERSONALITY:"PERSONALITY"};
 sre.SpeechRule.Type.fromString=function(a){switch(a){case "[n]":return sre.SpeechRule.Type.NODE;case "[m]":return sre.SpeechRule.Type.MULTI;case "[t]":return sre.SpeechRule.Type.TEXT;case "[p]":return sre.SpeechRule.Type.PERSONALITY;default:throw"Parse error: "+a;}};
 sre.SpeechRule.Type.toString=function(a){switch(a){case sre.SpeechRule.Type.NODE:return"[n]";case sre.SpeechRule.Type.MULTI:return"[m]";case sre.SpeechRule.Type.TEXT:return"[t]";case sre.SpeechRule.Type.PERSONALITY:return"[p]";default:throw"Unknown type error: "+a;}};sre.SpeechRule.Component=function(a){this.type=a.type;this.content=a.content;this.attributes=a.attributes;this.grammar=a.grammar};
 sre.SpeechRule.Component.fromString=function(a){var b={};b.type=sre.SpeechRule.Type.fromString(a.substring(0,3));a=a.slice(3).trim();if(!a)throw new sre.SpeechRule.OutputError("Missing content.");switch(b.type){case sre.SpeechRule.Type.TEXT:if('"'==a[0]){var c=sre.SpeechRule.splitString_(a,"\\(")[0].trim();if('"'!=c.slice(-1))throw new sre.SpeechRule.OutputError("Invalid string syntax.");b.content=c;a=a.slice(c.length).trim();-1==a.indexOf("(")&&(a="");break}case sre.SpeechRule.Type.NODE:case sre.SpeechRule.Type.MULTI:c=
@@ -461,525 +624,1008 @@ a.indexOf(" ("),-1==c?(b.content=a.trim(),a=""):(b.content=a.substring(0,c).trim
 sre.SpeechRule.Component.grammarFromString=function(a){return sre.Grammar.parseInput(a)};sre.SpeechRule.Component.prototype.grammarToString=function(){return this.getGrammar().join(":")};sre.SpeechRule.Component.prototype.getGrammar=function(){var a=[],b;for(b in this.grammar)!0===this.grammar[b]?a.push(b):!1===this.grammar[b]?a.push("!"+b):a.push(b+"="+this.grammar[b]);return a};
 sre.SpeechRule.Component.attributesFromString=function(a){if("("!=a[0]||")"!=a.slice(-1))throw new sre.SpeechRule.OutputError("Invalid attribute expression: "+a);var b={};a=sre.SpeechRule.splitString_(a.slice(1,-1),",");for(var c=0,d=a.length;c<d;c++){var e=a[c],f=e.indexOf(":");if(-1==f)b[e.trim()]="true";else{var g=e.substring(0,f).trim();e=e.slice(f+1).trim();b[g]="grammar"===g?sre.SpeechRule.Component.grammarFromString(e):b[g]=e}}return b};
 sre.SpeechRule.Component.prototype.attributesToString=function(){var a=this.getAttributes(),b=this.grammarToString();b&&a.push("grammar:"+b);return 0<a.length?"("+a.join(", ")+")":""};sre.SpeechRule.Component.prototype.getAttributes=function(){var a=[],b;for(b in this.attributes){var c=this.attributes[b];"true"===c?a.push(b):a.push(b+":"+c)}return a};sre.SpeechRule.Action=function(a){this.components=a};
-sre.SpeechRule.Action.fromString=function(a){a=sre.SpeechRule.splitString_(a,";").filter(function(a){return a.match(/\S/)}).map(function(a){return a.trim()});for(var b=[],c=0,d=a.length;c<d;c++){var e=sre.SpeechRule.Component.fromString(a[c]);e&&b.push(e)}return new sre.SpeechRule.Action(b)};sre.SpeechRule.Action.prototype.toString=function(){return this.components.map(function(a){return a.toString()}).join("; ")};sre.SpeechRule.Precondition=function(a,b){this.query=a;this.constraints=b||[]};
+sre.SpeechRule.Action.fromString=function(a){a=sre.SpeechRule.splitString_(a,";").filter(function(f){return f.match(/\S/)}).map(function(f){return f.trim()});for(var b=[],c=0,d=a.length;c<d;c++){var e=sre.SpeechRule.Component.fromString(a[c]);e&&b.push(e)}return new sre.SpeechRule.Action(b)};sre.SpeechRule.Action.prototype.toString=function(){return this.components.map(function(a){return a.toString()}).join("; ")};sre.SpeechRule.Precondition=function(a,b){this.query=a;this.constraints=b||[]};
 sre.SpeechRule.Precondition.prototype.toString=function(){var a=this.constraints.join(", ");return this.query+", "+a};
 sre.SpeechRule.splitString_=function(a,b){for(var c=[],d="";""!=a;){var e=a.search(b);if(-1==e){if(0!=(a.match(/"/g)||[]).length%2)throw new sre.SpeechRule.OutputError("Invalid string in expression: "+a);c.push(d+a);a=d=""}else if(0==(a.substring(0,e).match(/"/g)||[]).length%2)c.push(d+a.substring(0,e)),d="",a=a.substring(e+1);else{var f=a.substring(e).search('"');if(-1==f)throw new sre.SpeechRule.OutputError("Invalid string in expression: "+a);d+=a.substring(0,e+f+1);a=a.substring(e+f+1)}}d&&c.push(d);
-return c};sre.SpeechRule.OutputError=function(a){Error.call(this);this.message=a||"";this.name="RuleError"};goog.inherits(sre.SpeechRule.OutputError,Error);sre.SpeechRuleEvaluator=function(){};sre.SpeechRuleEvaluator.prototype.evaluateDefault=goog.abstractMethod;sre.SpeechRuleFunctions=function(){};sre.SpeechRuleFunctions.Store_=function(a,b){this.prefix_=a;this.store_=b};sre.SpeechRuleFunctions.Store_.prototype.add=function(a,b){this.checkCustomFunctionSyntax_(a)&&(this.store_[a]=b)};sre.SpeechRuleFunctions.Store_.prototype.addStore=function(a){for(var b=Object.keys(a.store_),c=0,d;d=b[c];c++)this.add(d,a.store_[d])};sre.SpeechRuleFunctions.Store_.prototype.lookup=function(a){return this.store_[a]};
+return c};sre.SpeechRule.OutputError=function(a){sre.Engine.Error.call(this,a);this.name="RuleError"};goog.inherits(sre.SpeechRule.OutputError,sre.Engine.Error);sre.SpeechRuleFunctions=function(){};sre.SpeechRuleFunctions.Store_=function(a,b){this.prefix_=a;this.store_=b};sre.SpeechRuleFunctions.Store_.prototype.add=function(a,b){this.checkCustomFunctionSyntax_(a)&&(this.store_[a]=b)};sre.SpeechRuleFunctions.Store_.prototype.addStore=function(a){for(var b=Object.keys(a.store_),c=0,d;d=b[c];c++)this.add(d,a.store_[d])};sre.SpeechRuleFunctions.Store_.prototype.lookup=function(a){return this.store_[a]};
 sre.SpeechRuleFunctions.CustomQueries=function(){sre.SpeechRuleFunctions.Store_.call(this,"CQF",{})};goog.inherits(sre.SpeechRuleFunctions.CustomQueries,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.CustomStrings=function(){sre.SpeechRuleFunctions.Store_.call(this,"CSF",{})};goog.inherits(sre.SpeechRuleFunctions.CustomStrings,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.ContextFunctions=function(){sre.SpeechRuleFunctions.Store_.call(this,"CTXF",{})};
-goog.inherits(sre.SpeechRuleFunctions.ContextFunctions,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.Store_.prototype.checkCustomFunctionSyntax_=function(a){return a.match(new RegExp("^"+this.prefix_))?!0:(console.log("FunctionError: Invalid function name. Expected prefix "+this.prefix_),!1)};sre.SpeechRuleStore=function(){};sre.SpeechRuleStore.prototype.addRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.deleteRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.findRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.findAllRules=goog.abstractMethod;sre.SpeechRuleStore.prototype.lookupRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.defineRule=goog.abstractMethod;sre.TrieNode=function(){};sre.TrieNode.prototype.getConstraint=function(){};sre.TrieNode.prototype.getKind=function(){};sre.TrieNode.prototype.applyTest=function(a){};sre.TrieNode.prototype.addChild=function(a){};sre.TrieNode.prototype.getChild=function(a){};sre.TrieNode.prototype.getChildren=function(){};sre.TrieNode.prototype.findChildren=function(a){};sre.TrieNode.Kind={ROOT:"root",DYNAMIC:"dynamic",QUERY:"query",BOOLEAN:"boolean",STATIC:"static"};sre.AbstractTrieNode=function(a,b){this.constraint=a;this.test=b;this.children_={};this.kind=sre.TrieNode.Kind.ROOT};sre.AbstractTrieNode.prototype.getConstraint=function(){return this.constraint};sre.AbstractTrieNode.prototype.getKind=function(){return this.kind};sre.AbstractTrieNode.prototype.applyTest=function(a){return this.test(a)};sre.AbstractTrieNode.prototype.addChild=function(a){var b=a.getConstraint(),c=this.children_[b];this.children_[b]=a;return c};
+goog.inherits(sre.SpeechRuleFunctions.ContextFunctions,sre.SpeechRuleFunctions.Store_);sre.SpeechRuleFunctions.Store_.prototype.checkCustomFunctionSyntax_=function(a){return a.match(new RegExp("^"+this.prefix_))?!0:(console.error("FunctionError: Invalid function name. Expected prefix "+this.prefix_),!1)};sre.SpeechRuleContext=function(){this.customQueries=new sre.SpeechRuleFunctions.CustomQueries;this.customStrings=new sre.SpeechRuleFunctions.CustomStrings;this.contextFunctions=new sre.SpeechRuleFunctions.ContextFunctions};sre.SpeechRuleContext.prototype.applyCustomQuery=function(a,b){return(b=this.customQueries.lookup(b))?b(a):null};sre.SpeechRuleContext.prototype.applySelector=function(a,b){return this.applyCustomQuery(a,b)||sre.XpathUtil.evalXPath(b,a)};
+sre.SpeechRuleContext.prototype.applyQuery=function(a,b){a=this.applySelector(a,b);return 0<a.length?a[0]:null};sre.SpeechRuleContext.prototype.applyConstraint=function(a,b){return!!this.applyQuery(a,b)||sre.XpathUtil.evaluateBoolean(b,a)};sre.SpeechRuleContext.prototype.constructString=function(a,b){if(!b)return"";if('"'==b.charAt(0))return b.slice(1,-1);var c=this.customStrings.lookup(b);return c?c(a):sre.XpathUtil.evaluateString(b,a)};
+sre.SpeechRuleContext.prototype.parse=function(a){for(var b=0,c;c=a[b];b++)({CQF:this.customQueries,CSF:this.customStrings,CTXF:this.contextFunctions})[c[0]].add(c[1],c[2])};sre.SpeechRuleEvaluator=function(){};sre.SpeechRuleEvaluator.prototype.evaluateDefault=goog.abstractMethod;sre.SpeechRuleStore=function(){};sre.SpeechRuleStore.prototype.addRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.deleteRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.findRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.findAllRules=goog.abstractMethod;sre.SpeechRuleStore.prototype.lookupRule=goog.abstractMethod;sre.SpeechRuleStore.prototype.defineRule=goog.abstractMethod;sre.TrieNode=function(){};sre.TrieNode.prototype.getConstraint=function(){};sre.TrieNode.prototype.getKind=function(){};sre.TrieNode.prototype.applyTest=function(a){};sre.TrieNode.prototype.addChild=function(a){};sre.TrieNode.prototype.getChild=function(a){};sre.TrieNode.prototype.getChildren=function(){};sre.TrieNode.prototype.findChildren=function(a){};sre.TrieNode.Kind={ROOT:"root",DYNAMIC:"dynamic",QUERY:"query",BOOLEAN:"boolean",STATIC:"static"};sre.AbstractTrieNode=function(a,b){this.constraint=a;this.test=b;this.children_={};this.kind=sre.TrieNode.Kind.ROOT};sre.AbstractTrieNode.prototype.getConstraint=function(){return this.constraint};sre.AbstractTrieNode.prototype.getKind=function(){return this.kind};sre.AbstractTrieNode.prototype.applyTest=function(a){return this.test(a)};sre.AbstractTrieNode.prototype.addChild=function(a){var b=a.getConstraint(),c=this.children_[b];this.children_[b]=a;return c};
 sre.AbstractTrieNode.prototype.getChild=function(a){return this.children_[a]};sre.AbstractTrieNode.prototype.getChildren=function(){var a=[],b;for(b in this.children_)a.push(this.children_[b]);return a};sre.AbstractTrieNode.prototype.findChildren=function(a){var b=[],c;for(c in this.children_){var d=this.children_[c];d.applyTest(a)&&b.push(d)}return b};sre.AbstractTrieNode.prototype.toString=function(){return this.constraint};
 sre.StaticTrieNode=function(a,b){sre.AbstractTrieNode.call(this,a,b);this.kind=sre.TrieNode.Kind.STATIC;this.rule_=null};goog.inherits(sre.StaticTrieNode,sre.AbstractTrieNode);sre.StaticTrieNode.prototype.getRule=function(){return this.rule_};sre.StaticTrieNode.prototype.setRule=function(a){this.rule_&&sre.Debugger.getInstance().output("Replacing rule "+this.rule_+" with "+a);this.rule_=a};
 sre.StaticTrieNode.prototype.toString=function(){return this.getRule()?this.constraint+"\n==> "+this.getRule().action:this.constraint};sre.TrieNodeFactory={};sre.TrieNodeFactory.getNode=function(a,b,c){switch(a){case sre.TrieNode.Kind.ROOT:return new sre.RootTrieNode;case sre.TrieNode.Kind.DYNAMIC:return new sre.DynamicTrieNode(b);case sre.TrieNode.Kind.QUERY:return new sre.QueryTrieNode(b,c);case sre.TrieNode.Kind.BOOLEAN:return new sre.BooleanTrieNode(b,c);default:return null}};sre.RootTrieNode=function(){sre.AbstractTrieNode.call(this,"",function(){return!0});this.kind=sre.TrieNode.Kind.ROOT};goog.inherits(sre.RootTrieNode,sre.AbstractTrieNode);
 sre.DynamicTrieNode=function(a){sre.AbstractTrieNode.call(this,a,function(b){return b===a});this.kind=sre.TrieNode.Kind.DYNAMIC};goog.inherits(sre.DynamicTrieNode,sre.AbstractTrieNode);
-sre.TrieNodeFactory.constraintTest_=function(a){if(a.match(/^self::\*$/))return function(a){return!0};if(a.match(/^self::\w+$/)){var b=a.slice(6).toUpperCase();return function(a){return a.tagName&&sre.DomUtil.tagName(a)===b}}if(a.match(/^self::\w+:\w+$/)){a=a.split(":");var c=sre.XpathUtil.resolveNameSpace(a[2]);if(!c)return null;b=a[3].toUpperCase();return function(a){return a.localName&&a.localName.toUpperCase()===b&&a.namespaceURI===c}}if(a.match(/^@\w+$/)){var d=a.slice(1);return function(a){return a.hasAttribute&&
-a.hasAttribute(d)}}if(a.match(/^@\w+="[\w\d ]+"$/)){a=a.split("=");d=a[0].slice(1);var e=a[1].slice(1,-1);return function(a){return a.hasAttribute&&a.hasAttribute(d)&&a.getAttribute(d)===e}}return a.match(/^@\w+!="[\w\d ]+"$/)?(a=a.split("!="),d=a[0].slice(1),e=a[1].slice(1,-1),function(a){return!a.hasAttribute||!a.hasAttribute(d)||a.getAttribute(d)!==e}):a.match(/^contains\(\s*@grammar\s*,\s*"[\w\d ]+"\s*\)$/)?(a=a.split('"'),e=a[1],function(a){return sre.Grammar.getInstance().getParameter(e)}):
-a.match(/^not\(\s*contains\(\s*@grammar\s*,\s*"[\w\d ]+"\s*\)\s*\)$/)?(a=a.split('"'),e=a[1],function(a){return!sre.Grammar.getInstance().getParameter(e)}):null};sre.QueryTrieNode=function(a,b){this.store_=b;sre.StaticTrieNode.call(this,a,sre.TrieNodeFactory.constraintTest_(a));this.kind=sre.TrieNode.Kind.QUERY};goog.inherits(sre.QueryTrieNode,sre.StaticTrieNode);sre.QueryTrieNode.prototype.applyTest=function(a){return this.test?this.test(a):this.store_.applyQuery(a,this.constraint)===a};
-sre.BooleanTrieNode=function(a,b){this.store_=b;sre.StaticTrieNode.call(this,a,sre.TrieNodeFactory.constraintTest_(a));this.kind=sre.TrieNode.Kind.BOOLEAN};goog.inherits(sre.BooleanTrieNode,sre.StaticTrieNode);sre.BooleanTrieNode.prototype.applyTest=function(a){return this.test?this.test(a):this.store_.applyConstraint(a,this.constraint)};sre.Trie=function(a){this.store=a;this.root=sre.TrieNodeFactory.getNode(sre.TrieNode.Kind.ROOT,"",this.store)};sre.Trie.prototype.addRule=function(a){for(var b=this.root,c=a.dynamicCstr.getValues(),d=0,e=c.length;d<e;d++)b=this.addNode_(b,c[d],sre.TrieNode.Kind.DYNAMIC);b=this.addNode_(b,a.precondition.query,sre.TrieNode.Kind.QUERY);c=a.precondition.constraints;d=0;for(e=c.length;d<e;d++)b=this.addNode_(b,c[d],sre.TrieNode.Kind.BOOLEAN);b.setRule(a)};
-sre.Trie.prototype.addNode_=function(a,b,c){var d=a.getChild(b);d||(d=sre.TrieNodeFactory.getNode(c,b,this.store),a.addChild(d));return d};
-sre.Trie.prototype.lookupRules=function(a,b){for(var c=[this.root],d=[];b.length;){for(var e=b.shift(),f=[];c.length;){var g=c.shift();g=g.getChildren();g.forEach(function(a){a.getKind()===sre.TrieNode.Kind.DYNAMIC&&-1===e.indexOf(a.getConstraint())||f.push(a)})}c=f.slice()}for(;c.length;)g=c.shift(),g.getRule&&(b=g.getRule())&&d.push(b),g=g.findChildren(a),c=c.concat(g);return d};
+sre.TrieNodeFactory.constraintTest_=function(a){if(a.match(/^self::\*$/))return function(f){return!0};if(a.match(/^self::\w+$/)){var b=a.slice(6).toUpperCase();return function(f){return f.tagName&&sre.DomUtil.tagName(f)===b}}if(a.match(/^self::\w+:\w+$/)){a=a.split(":");var c=sre.XpathUtil.resolveNameSpace(a[2]);if(!c)return null;b=a[3].toUpperCase();return function(f){return f.localName&&f.localName.toUpperCase()===b&&f.namespaceURI===c}}if(a.match(/^@\w+$/)){var d=a.slice(1);return function(f){return f.hasAttribute&&
+f.hasAttribute(d)}}if(a.match(/^@\w+="[\w\d ]+"$/)){a=a.split("=");d=a[0].slice(1);var e=a[1].slice(1,-1);return function(f){return f.hasAttribute&&f.hasAttribute(d)&&f.getAttribute(d)===e}}return a.match(/^@\w+!="[\w\d ]+"$/)?(a=a.split("!="),d=a[0].slice(1),e=a[1].slice(1,-1),function(f){return!f.hasAttribute||!f.hasAttribute(d)||f.getAttribute(d)!==e}):a.match(/^contains\(\s*@grammar\s*,\s*"[\w\d ]+"\s*\)$/)?(a=a.split('"'),e=a[1],function(f){return sre.Grammar.getInstance().getParameter(e)}):
+a.match(/^not\(\s*contains\(\s*@grammar\s*,\s*"[\w\d ]+"\s*\)\s*\)$/)?(a=a.split('"'),e=a[1],function(f){return!sre.Grammar.getInstance().getParameter(e)}):null};sre.QueryTrieNode=function(a,b){this.context_=b;sre.StaticTrieNode.call(this,a,sre.TrieNodeFactory.constraintTest_(a));this.kind=sre.TrieNode.Kind.QUERY};goog.inherits(sre.QueryTrieNode,sre.StaticTrieNode);sre.QueryTrieNode.prototype.applyTest=function(a){return this.test?this.test(a):this.context_.applyQuery(a,this.constraint)===a};
+sre.BooleanTrieNode=function(a,b){this.context_=b;sre.StaticTrieNode.call(this,a,sre.TrieNodeFactory.constraintTest_(a));this.kind=sre.TrieNode.Kind.BOOLEAN};goog.inherits(sre.BooleanTrieNode,sre.StaticTrieNode);sre.BooleanTrieNode.prototype.applyTest=function(a){return this.test?this.test(a):this.context_.applyConstraint(a,this.constraint)};sre.Trie=function(a){this.store=a;this.root=sre.TrieNodeFactory.getNode(sre.TrieNode.Kind.ROOT,"",this.store.context)};sre.Trie.prototype.addRule=function(a){for(var b=this.root,c=a.context,d=a.dynamicCstr.getValues(),e=0,f=d.length;e<f;e++)b=this.addNode_(b,d[e],sre.TrieNode.Kind.DYNAMIC,c);b=this.addNode_(b,a.precondition.query,sre.TrieNode.Kind.QUERY,c);d=a.precondition.constraints;e=0;for(f=d.length;e<f;e++)b=this.addNode_(b,d[e],sre.TrieNode.Kind.BOOLEAN,c);b.setRule(a)};
+sre.Trie.prototype.addNode_=function(a,b,c,d){var e=a.getChild(b);e||(e=sre.TrieNodeFactory.getNode(c,b,d),a.addChild(e));return e};
+sre.Trie.prototype.lookupRules=function(a,b){for(var c=[this.root],d=[];b.length;){for(var e=b.shift(),f=[];c.length;){var g=c.shift();g=g.getChildren();g.forEach(function(h){h.getKind()===sre.TrieNode.Kind.DYNAMIC&&-1===e.indexOf(h.getConstraint())||f.push(h)})}c=f.slice()}for(;c.length;)g=c.shift(),g.getRule&&(b=g.getRule())&&d.push(b),g=g.findChildren(a),c=c.concat(g);return d};
 sre.Trie.prototype.hasSubtrie=function(a){for(var b=this.root,c=0,d=a.length;c<d;c++)if(b=b.getChild(a[c]),!b)return!1;return!0};sre.Trie.prototype.toString=function(){return sre.Trie.printWithDepth_(this.root,0,"")};sre.Trie.prototype.collectRules=function(){return sre.Trie.collectRules_(this.root)};sre.Trie.prototype.order=function(){return sre.Trie.order_(this.root)};
 sre.Trie.printWithDepth_=function(a,b,c){var d=Array(b+2).join(b)+": ";c+=d+a.toString()+"\n";a=a.getChildren();d=0;for(var e;e=a[d];d++)c=sre.Trie.printWithDepth_(e,b+1,c);return c};sre.Trie.order_=function(a){a=a.getChildren();if(!a.length)return 0;var b=Math.max.apply(null,a.map(sre.Trie.order_));return Math.max(a.length,b)};
-sre.Trie.collectRules_=function(a){var b=[];for(a=[a];a.length;){var c=a.shift();if(c.getKind()===sre.TrieNode.Kind.QUERY||c.getKind()===sre.TrieNode.Kind.BOOLEAN){var d=c.getRule();d&&b.unshift(d)}a=a.concat(c.getChildren())}return b};sre.BaseRuleStore=function(){this.customQueries=new sre.SpeechRuleFunctions.CustomQueries;this.customStrings=new sre.SpeechRuleFunctions.CustomStrings;this.contextFunctions=new sre.SpeechRuleFunctions.ContextFunctions;this.speechRules_=[];this.trie=new sre.Trie(this);this.parseOrder=sre.DynamicCstr.DEFAULT_ORDER;this.parser=new sre.DynamicCstr.Parser(this.parseOrder);this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE];this.initialized=!1};
-sre.BaseRuleStore.prototype.lookupRule=function(a,b){if(!a||a.nodeType!=sre.DomUtil.NodeType.ELEMENT_NODE&&a.nodeType!=sre.DomUtil.NodeType.TEXT_NODE)return null;a=this.trie.lookupRules(a,b.allProperties());return 0<a.length?this.pickMostConstraint_(b,a):null};
-sre.BaseRuleStore.prototype.defineRule=function(a,b,c,d,e){try{var f=sre.SpeechRule.Action.fromString(c),g=Array.prototype.slice.call(arguments,4),h=new sre.SpeechRule.Precondition(d,g),k=this.parseCstr(b);var l=new sre.SpeechRule(a,k,h,f)}catch(m){if("RuleError"==m.name)return console.log("Rule Error ",d,"("+b+"):",m.message),null;throw m;}this.addRule(l);return l};sre.BaseRuleStore.prototype.addRule=function(a){this.trie.addRule(a);this.speechRules_.unshift(a)};
+sre.Trie.collectRules_=function(a){var b=[];for(a=[a];a.length;){var c=a.shift();if(c.getKind()===sre.TrieNode.Kind.QUERY||c.getKind()===sre.TrieNode.Kind.BOOLEAN){var d=c.getRule();d&&b.unshift(d)}a=a.concat(c.getChildren())}return b};sre.Trie.prototype.enumerate=function(a){return this.enumerate_(this.root,a)};
+sre.Trie.prototype.enumerate_=function(a,b){b=b||{};a=a.getChildren();for(var c=0,d;d=a[c];c++)d.kind===sre.TrieNode.Kind.DYNAMIC&&(b[d.getConstraint()]=this.enumerate_(d,b[d.getConstraint()]));return b};sre.BaseRuleStore=function(){this.context=new sre.SpeechRuleContext;this.customQueries=this.context.customQueries;this.customStrings=this.context.customStrings;this.contextFunctions=this.context.contextFunctions;this.speechRules_=[];this.trie=new sre.Trie(this);this.parseOrder=sre.DynamicCstr.DEFAULT_ORDER;this.parser=new sre.DynamicCstr.Parser(this.parseOrder);this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE];this.modality=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY];
+this.domain=null;this.initialized=!1;this.parseMethods={Rule:goog.bind(this.defineRule,this)}};sre.BaseRuleStore.prototype.lookupRule=function(a,b){if(!a||a.nodeType!=sre.DomUtil.NodeType.ELEMENT_NODE&&a.nodeType!=sre.DomUtil.NodeType.TEXT_NODE)return null;a=this.trie.lookupRules(a,b.allProperties());return 0<a.length?this.pickMostConstraint_(b,a):null};
+sre.BaseRuleStore.prototype.defineRule=function(a,b,c,d,e){try{var f=sre.SpeechRule.Action.fromString(c),g=Array.prototype.slice.call(arguments,4),h=new sre.SpeechRule.Precondition(d,g),k=this.parseCstr(b);var l=new sre.SpeechRule(a,k,h,f)}catch(m){if("RuleError"==m.name)return console.error("Rule Error ",d,"("+b+"):",m.message),null;throw m;}this.addRule(l);return l};sre.BaseRuleStore.prototype.addRule=function(a){a.context=this.context;this.trie.addRule(a);this.speechRules_.unshift(a)};
 sre.BaseRuleStore.prototype.deleteRule=function(a){a=this.speechRules_.indexOf(a);-1!=a&&this.speechRules_.splice(a,1)};sre.BaseRuleStore.prototype.findRule=function(a){for(var b=0,c;c=this.speechRules_[b];b++)if(a(c))return c;return null};sre.BaseRuleStore.prototype.findAllRules=function(a){return this.speechRules_.filter(a)};sre.BaseRuleStore.prototype.evaluateDefault=function(a){return[sre.AuditoryDescription.create({text:a.textContent})]};
-sre.BaseRuleStore.prototype.debugSpeechRule=function(a,b){a=a.precondition;var c=this.applyQuery(b,a.query);sre.Debugger.getInstance().output(a.query,c?c.toString():c);a.constraints.forEach(goog.bind(function(a){sre.Debugger.getInstance().output(a,this.applyConstraint(b,a))},this))};sre.BaseRuleStore.prototype.initialize=goog.abstractMethod;
-sre.BaseRuleStore.prototype.removeDuplicates=function(a){for(var b=this.speechRules_.length-1,c;c=this.speechRules_[b];b--)c!=a&&a.dynamicCstr.equal(c.dynamicCstr)&&sre.BaseRuleStore.comparePreconditions_(c,a)&&this.speechRules_.splice(b,1)};sre.BaseRuleStore.prototype.applyCustomQuery=function(a,b){return(b=this.customQueries.lookup(b))?b(a):null};sre.BaseRuleStore.prototype.applySelector=function(a,b){return this.applyCustomQuery(a,b)||sre.XpathUtil.evalXPath(b,a)};
-sre.BaseRuleStore.prototype.applyQuery=function(a,b){a=this.applySelector(a,b);return 0<a.length?a[0]:null};sre.BaseRuleStore.prototype.applyConstraint=function(a,b){return!!this.applyQuery(a,b)||sre.XpathUtil.evaluateBoolean(b,a)};
-sre.BaseRuleStore.prototype.pickMostConstraint_=function(a,b){var c=sre.Engine.getInstance().comparator;b.sort(function(a,b){return c.compare(a.dynamicCstr,b.dynamicCstr)||b.precondition.constraints.length-a.precondition.constraints.length});sre.Debugger.getInstance().generateOutput(goog.bind(function(){return b.map(function(a){return a.name+"("+a.dynamicCstr.toString()+")"})},this));return b[0]};
+sre.BaseRuleStore.prototype.debugSpeechRule=function(a,b){var c=a.precondition,d=a.context.applyQuery(b,c.query);sre.Debugger.getInstance().output(c.query,d?d.toString():d);c.constraints.forEach(goog.bind(function(e){sre.Debugger.getInstance().output(e,a.context.applyConstraint(b,e))},this))};sre.BaseRuleStore.prototype.initialize=goog.abstractMethod;
+sre.BaseRuleStore.prototype.removeDuplicates=function(a){for(var b=this.speechRules_.length-1,c;c=this.speechRules_[b];b--)c!=a&&a.dynamicCstr.equal(c.dynamicCstr)&&sre.BaseRuleStore.comparePreconditions_(c,a)&&this.speechRules_.splice(b,1)};
+sre.BaseRuleStore.prototype.pickMostConstraint_=function(a,b){var c=sre.Engine.getInstance().comparator;b.sort(function(d,e){return c.compare(d.dynamicCstr,e.dynamicCstr)||e.precondition.constraints.length-d.precondition.constraints.length});sre.Debugger.getInstance().generateOutput(goog.bind(function(){return b.map(function(d){return d.name+"("+d.dynamicCstr.toString()+")"})},this));return b[0]};
 sre.BaseRuleStore.compareStaticConstraints_=function(a,b){if(a.length!=b.length)return!1;for(var c=0,d;d=a[c];c++)if(-1==b.indexOf(d))return!1;return!0};sre.BaseRuleStore.comparePreconditions_=function(a,b){a=a.precondition;b=b.precondition;return a.query!=b.query?!1:sre.BaseRuleStore.compareStaticConstraints_(a.constraints,b.constraints)};sre.BaseRuleStore.prototype.getSpeechRules=function(){return this.speechRules_};sre.BaseRuleStore.prototype.setSpeechRules=function(a){this.speechRules_=a};
-sre.BaseRuleStore.prototype.parseCstr=function(a){return this.parser.parse(this.locale+"."+a)};sre.MathStore=function(){sre.BaseRuleStore.call(this);this.initializer=[]};goog.inherits(sre.MathStore,sre.BaseRuleStore);sre.MathStore.prototype.initialize=function(){if(!this.initialized){for(var a=0,b;b=this.initializer[a];a++)b();this.setSpeechRules(this.trie.collectRules());this.initialized=!0}};
-sre.MathStore.prototype.defineUniqueRuleAlias=function(a,b,c,d){var e=this.parseCstr(b),f=this.findRule(goog.bind(function(b){return b.name==a&&e.equal(b.dynamicCstr)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");this.addAlias_(f,c,Array.prototype.slice.call(arguments,3))};
-sre.MathStore.prototype.defineRuleAlias=function(a,b,c){var d=this.findRule(function(b){return b.name==a});if(!d)throw new sre.SpeechRule.OutputError("Rule with named "+a+" does not exist.");this.addAlias_(d,b,Array.prototype.slice.call(arguments,2))};
-sre.MathStore.prototype.defineRulesAlias=function(a,b,c){var d=this.findAllRules(function(b){return b.name==a});if(0==d.length)throw new sre.SpeechRule.OutputError("Rule with name "+a+" does not exist.");var e=Array.prototype.slice.call(arguments,2);d.forEach(goog.bind(function(a){this.addAlias_(a,b,e)},this))};sre.MathStore.prototype.addAlias_=function(a,b,c){b=new sre.SpeechRule.Precondition(b,c);b=new sre.SpeechRule(a.name,a.dynamicCstr,b,a.action);b.name=a.name;this.addRule(b)};
-sre.MathStore.prototype.defineSpecialisedRule=function(a,b,c,d){var e=this.parseCstr(b),f=this.findRule(goog.bind(function(b){return b.name==a&&e.equal(b.dynamicCstr)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");b=this.parseCstr(c);d=d?sre.SpeechRule.Action.fromString(d):f.action;f=new sre.SpeechRule(f.name,b,f.precondition,d);this.addRule(f)};sre.MathStore.prototype.evaluateDefault=function(a){return this.evaluateString_(a.textContent)};
-sre.MathStore.prototype.evaluateString_=function(a){var b=[];if(a.match(/^\s+$/))return b;a=sre.BaseUtil.removeEmpty(a.replace(/\s/g," ").split(" "));for(var c=0,d;d=a[c];c++)if(1==d.length)b.push(this.evaluate_(d));else if(d.match(/^[a-zA-Z]+$/))b.push(this.evaluate_(d));else for(;d;){var e=d.match(/^((\d{1,3})(?=,)(,\d{3})*(\.\d+)?)|^\d*\.\d+|^\d+/),f=d.match(/^[a-zA-Z]+/);e?(b.push(this.evaluate_(e[0])),d=d.substring(e[0].length)):f?(b.push(this.evaluate_(f[0])),d=d.substring(f[0].length)):(e=
-d[0].charCodeAt(0),55296<=e&&56319>=e&&1<d.length&&!isNaN(d.charCodeAt(1))?(b.push(this.evaluate_(d.slice(0,2))),d=d.substring(2)):(b.push(this.evaluate_(d[0])),d=d.substring(1)))}return b};sre.MathStore.prototype.evaluate_=function(a){return sre.AuditoryDescription.create({text:a},{adjust:!0,translate:!0})};sre.WalkerUtil={};sre.WalkerUtil.splitAttribute=function(a){return a?a.split(/,/):[]};sre.WalkerUtil.getAttribute=function(a,b){return sre.DomUtil.getDataAttribute(a,b)};sre.WalkerUtil.getSemanticRoot=function(a){if(a.hasAttribute(sre.EnrichMathml.Attribute.TYPE)&&!a.hasAttribute(sre.EnrichMathml.Attribute.PARENT))return a;for(var b=sre.DomUtil.querySelectorAllByAttr(a,sre.EnrichMathml.Attribute.TYPE),c=0,d;d=b[c];c++)if(!d.hasAttribute(sre.EnrichMathml.Attribute.PARENT))return d;return a};
-sre.WalkerUtil.getBySemanticId=function(a,b){return a.getAttribute(sre.EnrichMathml.Attribute.ID)===b?a:sre.DomUtil.querySelectorAllByAttrValue(a,sre.EnrichMathml.Attribute.ID,b)[0]};sre.RebuildStree=function(a){this.nodeDict={};this.mathml=a;this.mmlRoot=sre.WalkerUtil.getSemanticRoot(a);this.streeRoot=this.assembleTree(this.mmlRoot);this.stree=sre.SemanticTree.fromNode(this.streeRoot,this.mathml);this.xml=this.stree.xml()};sre.RebuildStree.prototype.getTree=function(){return this.stree};
-sre.RebuildStree.prototype.assembleTree=function(a){var b=this.makeNode(a),c=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CHILDREN)),d=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CONTENT));if(0===d.length&&0===c.length)return b.textContent=a.textContent,b;if(0<d.length){var e=sre.WalkerUtil.getBySemanticId(a,d[0]);e&&(e=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(e,sre.EnrichMathml.Attribute.OPERATOR)),
-1<e.length&&(b.textContent=e[1]))}e=function(c){c=sre.WalkerUtil.getBySemanticId(a,c);c=this.assembleTree(c);c.parent=b;return c};b.contentNodes=d.map(goog.bind(e,this));b.childNodes=c.map(goog.bind(e,this));return(c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.COLLAPSED))?this.postProcess(b,c):b};
-sre.RebuildStree.prototype.makeNode=function(a){var b=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.TYPE),c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ROLE),d=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.FONT),e=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ID),f=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.EMBELLISHED);a=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.FENCEPOINTER);e=this.createNode(parseInt(e,10));e.type=b;e.role=
-c;e.font=d?d:sre.SemanticAttr.Font.UNKNOWN;a&&(e.fencePointer=a);f&&(e.embellished=f);return e};sre.RebuildStree.isPunctuated=function(a){return!sre.SemanticSkeleton.simpleCollapseStructure(a)&&a[1]&&sre.SemanticSkeleton.contentCollapseStructure(a[1])};sre.RebuildStree.prototype.makePunctuation=function(a){a=this.createNode(a);a.updateContent(sre.SemanticAttr.invisibleComma());a.role=sre.SemanticAttr.Role.DUMMY;return a};
-sre.RebuildStree.prototype.makePunctuated=function(a,b,c){var d=this.createNode(b[0]);d.type=sre.SemanticAttr.Type.PUNCTUATED;d.embellished=a.embellished;d.fencePointer=a.fencePointer;d.role=c;a=b.splice(1,1)[0].slice(1);d.contentNodes=a.map(goog.bind(this.makePunctuation,this));this.collapsedChildren_(b)};sre.RebuildStree.prototype.makeEmpty=function(a,b,c){b=this.createNode(b);b.type=sre.SemanticAttr.Type.EMPTY;b.embellished=a.embellished;b.fencePointer=a.fencePointer;b.role=c};
-sre.RebuildStree.prototype.makeIndex=function(a,b,c){sre.RebuildStree.isPunctuated(b)?this.makePunctuated(a,b,c):sre.SemanticSkeleton.simpleCollapseStructure(b)&&!this.nodeDict[b.toString()]&&this.makeEmpty(a,b,c)};
-sre.RebuildStree.prototype.postProcess=function(a,b){b=sre.SemanticSkeleton.fromString(b).array;if(a.type===sre.SemanticAttr.Role.SUBSUP){var c=this.createNode(b[1][0]);c.type=sre.SemanticAttr.Type.SUBSCRIPT;c.role=sre.SemanticAttr.Role.SUBSUP;a.type=sre.SemanticAttr.Type.SUPERSCRIPT;c.embellished=a.embellished;c.fencePointer=a.fencePointer;this.makeIndex(a,b[1][2],sre.SemanticAttr.Role.RIGHTSUB);this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUPER);this.collapsedChildren_(b);return a}if(a.type===
-sre.SemanticAttr.Type.SUBSCRIPT)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUB),this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.SUPERSCRIPT)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.RIGHTSUPER),this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.TENSOR)return this.makeIndex(a,b[2],sre.SemanticAttr.Role.LEFTSUB),this.makeIndex(a,b[3],sre.SemanticAttr.Role.LEFTSUPER),this.makeIndex(a,b[4],sre.SemanticAttr.Role.RIGHTSUB),this.makeIndex(a,b[5],sre.SemanticAttr.Role.RIGHTSUPER),
-this.collapsedChildren_(b),a;if(a.type===sre.SemanticAttr.Type.PUNCTUATED)return sre.RebuildStree.isPunctuated(b)&&(b=b.splice(1,1)[0].slice(1),a.contentNodes=b.map(goog.bind(this.makePunctuation,this))),a;a.type===sre.SemanticAttr.Role.UNDEROVER&&(c=this.createNode(b[1][0]),a.childNodes[1].role===sre.SemanticAttr.Role.OVERACCENT?(c.type=sre.SemanticAttr.Type.OVERSCORE,a.type=sre.SemanticAttr.Type.UNDERSCORE):(c.type=sre.SemanticAttr.Type.UNDERSCORE,a.type=sre.SemanticAttr.Type.OVERSCORE),c.role=
-sre.SemanticAttr.Role.UNDEROVER,c.embellished=a.embellished,c.fencePointer=a.fencePointer,this.collapsedChildren_(b));return a};sre.RebuildStree.prototype.createNode=function(a){var b=new sre.SemanticNode(a);return this.nodeDict[a.toString()]=b};
-sre.RebuildStree.prototype.collapsedChildren_=function(a){var b=goog.bind(function(a){var c=this.nodeDict[a[0]];c.childNodes=[];for(var e=1,f=a.length;e<f;e++){var g=a[e];c.childNodes.push(sre.SemanticSkeleton.simpleCollapseStructure(g)?this.nodeDict[g]:b(g))}return c},this);b(a)};sre.SpeechGenerator=function(){};sre.SpeechGenerator.prototype.getSpeech=function(a,b){};sre.SpeechGenerator.prototype.getRebuilt=function(){};sre.SpeechGenerator.prototype.setRebuilt=function(a){};sre.SpeechGenerator.prototype.start=function(){};sre.SpeechGenerator.prototype.end=function(){};sre.MathSimpleStore=function(){sre.MathStore.call(this)};goog.inherits(sre.MathSimpleStore,sre.MathStore);sre.MathSimpleStore.prototype.defineRulesFromMappings=function(a,b,c){for(var d in c)for(var e in c[d])this.defineRule(a,d+"."+e,'[t] "'+c[d][e]+'"',"self::text()",'"'===b?"self::text() = '"+b+"'":'self::text() = "'+b+'"')};
-sre.MathSimpleStore.prototype.lookupRule=function(a,b){a=this.getSpeechRules().filter(function(a){return sre.MathSimpleStore.testDynamicConstraints_(b,a)});return a.length?a.sort(function(a,b){return sre.Engine.getInstance().comparator.compare(a.dynamicCstr,b.dynamicCstr)})[0]:null};sre.MathSimpleStore.testDynamicConstraints_=function(a,b){return sre.Engine.getInstance().strict?b.dynamicCstr.equal(a):sre.Engine.getInstance().comparator.match(b.dynamicCstr)};
-sre.MathCompoundStore=function(){this.subStores_={};this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]};goog.addSingletonGetter(sre.MathCompoundStore);sre.MathCompoundStore.prototype.defineRules=function(a,b,c){var d=this.subStores_[b];d?sre.Debugger.getInstance().output("Store exists! "+b):(d=new sre.MathSimpleStore,this.subStores_[b]=d);d.locale=this.locale;d.defineRulesFromMappings(a,b,c)};
-sre.MathCompoundStore.prototype.changeLocale_=function(a){if(!a.locale)return!1;this.locale=a.locale;return!0};sre.MathCompoundStore.prototype.addSymbolRules=function(a){if(!this.changeLocale_(a)){var b=sre.MathSimpleStore.parseUnicode_(a.key);this.defineRules(a.key,b,a.mappings)}};sre.MathCompoundStore.prototype.addFunctionRules=function(a){if(!this.changeLocale_(a)){var b=a.names;a=a.mappings;for(var c=0,d;d=b[c];c++)this.defineRules(d,d,a)}};
-sre.MathCompoundStore.prototype.addUnitRules=function(a){if(!this.changeLocale_(a)){var b=a.names;b&&(a.names=b.map(function(a){return a+":unit"}));this.addFunctionRules(a)}};sre.MathCompoundStore.prototype.lookupRule=function(a,b){return(a=this.subStores_[a])?a.lookupRule(null,b):null};sre.MathCompoundStore.prototype.lookupString=function(a,b){return(a=this.lookupRule(a,b))?a.action.components.map(function(a){return a.content.slice(1,-1)}).join(" "):""};
-sre.MathSimpleStore.parseUnicode_=function(a){a=parseInt(a,16);if(65536>a)return String.fromCharCode(a);a-=65536;return String.fromCharCode((a>>10)+55296,(a&1023)+56320)};sre.MathMap=function(){this.store=sre.MathCompoundStore.getInstance();this.retrieveMaps()};goog.addSingletonGetter(sre.MathMap);sre.MathMap.toFetch_=0;sre.Engine.registerTest(function(){return sre.MathMap.getInstance()&&!sre.MathMap.toFetch_});sre.MathMap.prototype.stringify=function(){return JSON.stringify(this)};sre.MathMap.SYMBOLS_PATH_="symbols";sre.MathMap.FUNCTIONS_PATH_="functions";sre.MathMap.UNITS_PATH_="units";sre.MathMap.SYMBOLS_FILES_="greek-capital.js greek-small.js greek-scripts.js greek-symbols.js greek-mathfonts-bold.js greek-mathfonts-italic.js greek-mathfonts-sans-serif-bold.js hebrew_letters.js latin-lower-double-accent.js latin-lower-normal.js latin-lower-phonetic.js latin-lower-single-accent.js latin-rest.js latin-upper-double-accent.js latin-upper-normal.js latin-upper-single-accent.js latin-mathfonts-bold-fraktur.js latin-mathfonts-bold.js latin-mathfonts-bold-script.js latin-mathfonts-double-struck.js latin-mathfonts-fraktur.js latin-mathfonts-italic.js latin-mathfonts-monospace.js latin-mathfonts-sans-serif-bold.js latin-mathfonts-sans-serif-italic.js latin-mathfonts-sans-serif.js latin-mathfonts-script.js math_angles.js math_arrows.js math_characters.js math_delimiters.js math_digits.js math_geometry.js math_harpoons.js math_non_characters.js math_symbols.js math_whitespace.js other_stars.js".split(" ");
-sre.MathMap.FUNCTIONS_FILES_=["algebra.js","elementary.js","hyperbolic.js","trigonometry.js"];sre.MathMap.UNITS_FILES_="energy.js length.js memory.js other.js speed.js temperature.js time.js volume.js weight.js".split(" ");
-sre.MathMap.retrieveFiles=function(a,b,c){b=sre.BaseUtil.makePath(sre.SystemExternal.jsonPath+b);switch(sre.Engine.getInstance().mode){case sre.Engine.Mode.ASYNC:sre.MathMap.toFetch_+=a.length;for(var d=0,e;e=a[d];d++)sre.MathMap.fromFile_(b+e,function(a,b){sre.MathMap.toFetch_--;a||JSON.parse(b).forEach(function(a){c(a)})});break;case sre.Engine.Mode.HTTP:var f=sre.Engine.getInstance().isIE;sre.MathMap.toFetch_+=a.length;for(d=0;e=a[d];d++)f?sre.MathMap.getJsonIE_(e,c):sre.MathMap.getJsonAjax_(b+
-e,c);break;default:sre.MathMap.parseFiles(a.map(function(a){return b+a})).forEach(function(a){c(a)})}};
-sre.MathMap.prototype.retrieveMaps=function(){for(var a=0;a<sre.Variables.LOCALES.length;a++){var b=sre.Variables.LOCALES[a];sre.MathMap.retrieveFiles(sre.MathMap.FUNCTIONS_FILES_,b+"/"+sre.MathMap.FUNCTIONS_PATH_,goog.bind(this.store.addFunctionRules,this.store));sre.MathMap.retrieveFiles(sre.MathMap.SYMBOLS_FILES_,b+"/"+sre.MathMap.SYMBOLS_PATH_,goog.bind(this.store.addSymbolRules,this.store));sre.MathMap.retrieveFiles(sre.MathMap.UNITS_FILES_,b+"/"+sre.MathMap.UNITS_PATH_,goog.bind(this.store.addUnitRules,
-this.store))}};sre.MathMap.getJsonIE_=function(a,b,c){var d=c||1;if(sre.BrowserUtil.mapsForIE){for(c=0;c<sre.Variables.LOCALES.length;c++){var e=sre.BrowserUtil.mapsForIE[sre.Variables.LOCALES[c]+"/"+a];e&&e.forEach(function(a){b(a)})}sre.MathMap.toFetch_--}else 5>=d?setTimeout(function(){sre.MathMap.getJsonIE_(a,b,d++)},300):sre.MathMap.toFetch_--};sre.MathMap.fromFile_=function(a,b){return sre.SystemExternal.fs.readFile(a,"utf8",b)};
-sre.MathMap.loadFile=function(a){try{return sre.MathMap.readJSON_(a)}catch(b){console.log("Unable to load file: "+a+", error: "+b)}};sre.MathMap.loadFiles=function(a){return a.map(sre.MathMap.loadFile)};sre.MathMap.parseFiles=function(a){a=sre.MathMap.loadFiles(a);return[].concat.apply([],a.map(function(a){return JSON.parse(a)}))};sre.MathMap.readJSON_=function(a){return sre.SystemExternal.fs.readFileSync(a)};
-sre.MathMap.getJsonAjax_=function(a,b){var c=new XMLHttpRequest;c.onreadystatechange=function(){4===c.readyState&&(sre.MathMap.toFetch_--,200===c.status&&JSON.parse(c.responseText).forEach(function(a){b(a)}))};c.open("GET",a,!0);c.send()};sre.AbstractionRules=function(){sre.MathStore.call(this)};goog.inherits(sre.AbstractionRules,sre.MathStore);goog.addSingletonGetter(sre.AbstractionRules);sre.AbstractionRules.mathStore=sre.AbstractionRules.getInstance();sre.AbstractionRules.defineRule_=goog.bind(sre.AbstractionRules.mathStore.defineRule,sre.AbstractionRules.mathStore);sre.AbstractionRules.defineRuleAlias_=goog.bind(sre.AbstractionRules.mathStore.defineRulesAlias,sre.AbstractionRules.mathStore);
-sre.AbstractionRules.defineSpecialisedRule_=goog.bind(sre.AbstractionRules.mathStore.defineSpecialisedRule,sre.AbstractionRules.mathStore);sre.AbstractionRules.defineUniqueRuleAlias_=goog.bind(sre.AbstractionRules.mathStore.defineUniqueRuleAlias,sre.AbstractionRules.mathStore);
-sre.AbstractionRules.initAbstractionRules_=function(){(0,sre.AbstractionRules.defineRule_)("abstr-collapsed","mathspeak.default",'[t] "collapsed"; [n] . (grammar:collapsed)',"self::*","@alternative",'not(@alternative="summary")','not(contains(@grammar, "collapsed"))');(0,sre.AbstractionRules.defineRule_)("abstr-identifier","mathspeak.default",'[t] "long identifier"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-identifier","mathspeak.default",
-'[t] "identifier"',"self::identifier",'@alternative="summary"',"@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-identifier","mathspeak.brief",'[t] "identifier"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-identifier","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-number","mathspeak.default",'[t] "long number"',"self::number","@alternative");
-(0,sre.AbstractionRules.defineRule_)("abstr-number","mathspeak.default",'[t] "number"',"self::number","@alternative",'@alternative="summary"');(0,sre.AbstractionRules.defineRule_)("abstr-number","mathspeak.brief",'[t] "number"',"self::number","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-mixed-number","mathspeak.default",'[t] "long mixed number"',"self::number","@alternative",'@role="mixed"');
-(0,sre.AbstractionRules.defineRule_)("abstr-mixed-number","mathspeak.brief",'[t] "mixed number"',"self::number","@alternative",'@role="mixed"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-mixed-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-text","mathspeak.default",'[t] "text"',"self::text","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-function","mathspeak.default",'[t] "functional expression"',"self::function","@alternative","self::*");
-(0,sre.AbstractionRules.defineRule_)("abstr-function","mathspeak.brief",'[t] "function"',"self::function","@alternative","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-function","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-lim","mathspeak.default",'[t] "limit function"',"self::function","@alternative",'@role="limit function"');(0,sre.AbstractionRules.defineRule_)("abstr-lim","mathspeak.brief",'[t] "lim"',"self::function","@alternative",'@role="limit function"');
-(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-lim","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-fraction","mathspeak.default",'[t] "fraction"',"self::fraction","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-fraction","mathspeak.brief",'[t] "frac"',"self::fraction","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-fraction","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-continued-fraction",
-"mathspeak.default",'[t] "continued fraction"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-continued-fraction","mathspeak.brief",'[t] "continued frac"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-continued-fraction","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-sqrt",
-"mathspeak.default",'[t] "square root"',"self::sqrt","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-sqrt-nested","mathspeak.default",'[t] "nested square root"',"self::sqrt","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt-nested",
-"mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-sqrt-nested","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-root","mathspeak.default",'[t] "root of index"; [n] children/*[1]; [t] "endindex"',"self::root","@alternative","following-sibling::* or ancestor::*/following-sibling::*");(0,sre.AbstractionRules.defineRule_)("abstr-root","mathspeak.brief",'[t] "root"',"self::root","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-root",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-root-nested","mathspeak.default",'[t] "nested root of index"; [n] children/*[1]',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionRules.defineRule_)("abstr-root-nested","mathspeak.default",'[t] "nested root of index"; [n] children/*[1]; [t] "endindex"',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root",
-"following-sibling::* or ancestor::*/following-sibling::*");(0,sre.AbstractionRules.defineRule_)("abstr-root-nested","mathspeak.brief",'[t] "nested root"',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-root-nested","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-superscript","mathspeak.default",'[t] "power"',"self::superscript","@alternative","self::*",
-"self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-superscript","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-subscript","mathspeak.default",'[t] "subscript"',"self::subscript","@alternative","self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subscript","mathspeak.default","mathspeak.brief");
-(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-subsup","mathspeak.default",'[t] "power with subscript"',"self::superscript","@alternative",'name(children/*[1])="subscript"',"self::*","self::*","self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subsup","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-subsup","mathspeak.brief","mathspeak.sbrief");
-(0,sre.AbstractionRules.defineRule_)("abstr-infixop","mathspeak.default",'[t] @role (grammar:localRole); [t] "with"; [t] count(./children/*); [t] "elements"',"self::infixop","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-infixop","mathspeak.default",'[t] @role (grammar:localRole); [t] "with variable number of elements"',"self::infixop","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-infixop","mathspeak.brief",
-"[t] @role (grammar:localRole)","self::infixop","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-infixop","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-addition","mathspeak.default",'[t] "sum with"; [t] count(./children/*); [t] "summands"',"self::infixop","@alternative",'@role="addition"');(0,sre.AbstractionRules.defineRule_)("abstr-addition","mathspeak.brief",'[t] "sum"',"self::infixop","@alternative",'@role="addition"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-addition",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-addition","mathspeak.default",'[t] "sum with variable number of summands"',"self::infixop","@alternative",'@role="addition"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-multiplication","mathspeak.default",'[t] "product with"; [t] count(./children/*); [t] "factors"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionRules.defineRule_)("abstr-multiplication",
-"mathspeak.brief",'[t] "product"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-multiplication","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRuleAlias_)("abstr-multiplication","self::infixop","@alternative",'@role="implicit"');(0,sre.AbstractionRules.defineRule_)("abstr-var-multiplication","mathspeak.default",'[t] "product with variable number of factors"',"self::infixop","@alternative",'@role="multiplication"',
-"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRuleAlias_)("abstr-var-multiplication","self::infixop","@alternative",'@role="implicit"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-vector","mathspeak.default",'[t] count(./children/*) ; [t] "dimensional vector"',"self::vector","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-vector","mathspeak.brief",'[t] "vector"',"self::vector",
-"@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-vector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-vector","mathspeak.default",'[t] "n dimensional vector"',"self::vector","@alternative",'./children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-binomial","mathspeak.default",'[t] "binomial"',"self::vector","@alternative",'@role="binomial"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-binomial",
-"mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-binomial","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-determinant","mathspeak.default",'[t] count(./children/*); [t] "dimensional determinant"',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionRules.defineRule_)("abstr-determinant","mathspeak.brief",'[t] "determinant"',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-determinant",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-determinant","mathspeak.default",'[t] "n dimensional determinant"',"self::matrix","@alternative",'@role="determinant"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-squarematrix","mathspeak.default",'[t] count(./children/*); [t] "dimensional square matrix"',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionRules.defineRule_)("abstr-squarematrix",
-"mathspeak.brief",'[t] "square matrix"',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-squarematrix","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-rowvector","mathspeak.default",'[t] count(./children/row/children/*); [t] "dimensional row vector"',"self::matrix","@alternative",'@role="rowvector"');(0,sre.AbstractionRules.defineRule_)("abstr-rowvector","mathspeak.brief",'[t] "row vector"',"self::matrix",
-"@alternative",'@role="rowvector"');(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-rowvector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-matrix","mathspeak.default",'[t] "n dimensional row vector"',"self::matrix","@alternative",'@role="rowvector"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-matrix","mathspeak.default",'[t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"',
-"self::matrix","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-matrix","mathspeak.brief",'[t] "matrix"',"self::matrix","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-matrix","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-matrix","mathspeak.default",'[t] "n by m dimensional matrix"',"self::matrix","@alternative",'./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-cases",
-"mathspeak.default",'[t] "case statement";[t] "with"; [t] count(children/*); [t] "cases"',"self::cases","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-cases","mathspeak.brief",'[t] "case statement"',"self::cases","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-cases","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-cases","mathspeak.default",'[t] "case statement with variable number of cases"',"self::cases","@alternative",'./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]');
-(0,sre.AbstractionRules.defineRule_)("abstr-punctuated","mathspeak.default",'[n] content/*[1]; [t] "separated list";[t] "of length"; [t] count(children/*) - count(content/*)',"self::punctuated","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-punctuated","mathspeak.brief",'[n] content/*[1]; [t] "separated list"',"self::punctuated","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-punctuated","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-punctuated",
-"mathspeak.default",'[n] content/*[1]; [t] "separated list";[t] "of variable length"',"self::punctuated","@alternative",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-bigop","mathspeak.default","[n] content/*[1]","self::bigop","@alternative","self::*");(0,sre.AbstractionRules.defineRule_)("abstr-integral","mathspeak.default",'[t] "integral"',"self::*","@alternative",'@role="integral"');(0,sre.AbstractionRules.defineRule_)("abstr-relation","mathspeak.default",
-"[t] @role (grammar:localRole);","self::relseq","@alternative","count(./children/*)=2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-relation","mathspeak.default",'[t] @role (grammar:localRole); [t] "sequence"; [t] "with"; [t] count(./children/*); [t] "elements"',"self::relseq","@alternative","count(./children/*)>2");
-(0,sre.AbstractionRules.defineRule_)("abstr-relation","mathspeak.brief",'[t] @role (grammar:localRole); [t] "sequence"',"self::relseq","@alternative","count(./children/*)>2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-relation","mathspeak.default",'[t] @role (grammar:localRole); [t] "sequence"; [t] "with variable number of elements"',"self::relseq","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');
-(0,sre.AbstractionRules.defineUniqueRuleAlias_)("abstr-relation","mathspeak.default","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionRules.defineUniqueRuleAlias_)("abstr-relation","mathspeak.brief","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRuleAlias_)("abstr-var-relation","self::multirel",
-"@alternative",'@role!="unknown"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-multirel","mathspeak.default",'[t] "relation sequence"; [t] "with"; [t] count(./children/*); [t] "elements"',"self::multirel","@alternative","count(./children/*)>2");(0,sre.AbstractionRules.defineRule_)("abstr-multirel","mathspeak.brief",'[t] "relation sequence"',"self::multirel","@alternative","count(./children/*)>2");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-multirel",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-var-multirel","mathspeak.default",'[t] "relation sequence with variable number of elements"',"self::multirel","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionRules.defineRule_)("abstr-table","mathspeak.default",'[t] "table with"; [t] count(children/*); [t] "rows and";[t] count(children/*[1]/children/*); [t] "columns"',"self::table","@alternative");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-table",
-"mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-table","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-line","mathspeak.default",'[t] "in"; [t] @role (grammar:localRole);',"self::line","@alternative");(0,sre.AbstractionRules.defineRule_)("abstr-row","mathspeak.default",'[t] "in"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "with";[t] count(children/*); [t] "columns"',"self::row","@alternative",
-"*");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-row","mathspeak.default","mathspeak.brief");(0,sre.AbstractionRules.defineSpecialisedRule_)("abstr-row","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionRules.defineRule_)("abstr-cell","mathspeak.default",'[t] "in"; [t] @role (grammar:localRole);',"self::cell","@alternative")};sre.AbstractionRules.getInstance().initializer=[sre.AbstractionRules.initAbstractionRules_];sre.AbstractionSpanish=function(){sre.MathStore.call(this);this.locale="es"};goog.inherits(sre.AbstractionSpanish,sre.MathStore);goog.addSingletonGetter(sre.AbstractionSpanish);sre.AbstractionSpanish.mathStore=sre.AbstractionSpanish.getInstance();sre.AbstractionSpanish.defineRule_=goog.bind(sre.AbstractionSpanish.mathStore.defineRule,sre.AbstractionSpanish.mathStore);sre.AbstractionSpanish.defineRuleAlias_=goog.bind(sre.AbstractionSpanish.mathStore.defineRulesAlias,sre.AbstractionSpanish.mathStore);
-sre.AbstractionSpanish.defineSpecialisedRule_=goog.bind(sre.AbstractionSpanish.mathStore.defineSpecialisedRule,sre.AbstractionSpanish.mathStore);sre.AbstractionSpanish.defineUniqueRuleAlias_=goog.bind(sre.AbstractionSpanish.mathStore.defineUniqueRuleAlias,sre.AbstractionSpanish.mathStore);
-sre.AbstractionSpanish.initAbstractionSpanish_=function(){(0,sre.AbstractionSpanish.defineRule_)("abstr-collapsed","mathspeak.default",'[n] . (grammar:collapsed); [t] "plegado"',"self::*","@alternative",'not(@alternative="summary")','not(contains(@grammar, "collapsed"))');(0,sre.AbstractionSpanish.defineRule_)("abstr-identifier","mathspeak.default",'[t] "identificador largo"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-identifier",
-"mathspeak.default",'[t] "identificador"',"self::identifier",'@alternative="summary"',"@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-identifier","mathspeak.brief",'[t] "identificador"',"self::identifier","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-identifier","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-number","mathspeak.default",'[t] "n\u00famero largo"',
-"self::number","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-number","mathspeak.default",'[t] "n\u00famero"',"self::number","@alternative",'@alternative="summary"');(0,sre.AbstractionSpanish.defineRule_)("abstr-number","mathspeak.brief",'[t] "n\u00famero"',"self::number","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-mixed-number","mathspeak.default",'[t] "n\u00famero largo mixto"',
-"self::number","@alternative",'@role="mixed"');(0,sre.AbstractionSpanish.defineRule_)("abstr-mixed-number","mathspeak.brief",'[t] "numero mixto"',"self::number","@alternative",'@role="mixed"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-mixed-number","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-text","mathspeak.default",'[t] "texto"',"self::text","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-function","mathspeak.default",'[t] "expresi\u00f3n funcional"',
-"self::function","@alternative","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-function","mathspeak.brief",'[t] "funci\u00f3n"',"self::function","@alternative","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-function","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-lim","mathspeak.default",'[t] "funci\u00f3n de l\u00edmite"',"self::function","@alternative",'@role="limit function"');(0,sre.AbstractionSpanish.defineRule_)("abstr-lim",
-"mathspeak.brief",'[t] "l\u00edmite"',"self::function","@alternative",'@role="limit function"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-lim","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-fraction","mathspeak.default",'[t] "fracci\u00f3n"',"self::fraction","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-fraction","mathspeak.brief",'[t] "frac"',"self::fraction","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-fraction",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-continued-fraction","mathspeak.default",'[t] "fracci\u00f3n continua"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-continued-fraction","mathspeak.brief",'[t] "frac continua"',"self::fraction","@alternative",'children/*[2]/descendant-or-self::*[@role="ellipsis"]',"self::*","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-continued-fraction",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-sqrt","mathspeak.default",'[t] "ra\u00edz cuadrada"',"self::sqrt","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-sqrt","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-sqrt","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-sqrt-nested","mathspeak.default",'[t] "ra\u00edz cuadrada anidada"',"self::sqrt","@alternative",
-"children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-sqrt-nested","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-sqrt-nested","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-root","mathspeak.default",'[t] "ra\u00edz del \u00edndice"; [n] children/*[1]; [t] "finalizar de \u00edndice"',"self::root","@alternative","following-sibling::* or ancestor::*/following-sibling::*");
-(0,sre.AbstractionSpanish.defineRule_)("abstr-root","mathspeak.brief",'[t] "ra\u00edz"',"self::root","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-root","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-root-nested","mathspeak.default",'[t] "ra\u00edz anidada del \u00edndice"; [n] children/*[1]',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionSpanish.defineRule_)("abstr-root-nested",
-"mathspeak.default",'[t] "ra\u00edz anidada del \u00edndice"; [n] children/*[1]; [t] "finalizar de \u00edndice"',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root","following-sibling::* or ancestor::*/following-sibling::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-root-nested","mathspeak.brief",'[t] "ra\u00edz anidada"',"self::root","@alternative","children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-root-nested",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-superscript","mathspeak.default",'[t] "potencia"',"self::superscript","@alternative","self::*","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-superscript","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-subscript","mathspeak.default",
-'[t] "sub\u00edndice"',"self::subscript","@alternative","self::*","self::*","self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-subscript","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-subsup","mathspeak.default",'[t] "potencia con sub\u00edndice"',"self::superscript","@alternative",'name(children/*[1])="subscript"',"self::*","self::*","self::*");
-(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-subsup","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-subsup","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-infixop","mathspeak.default",'[t] @role (grammar:localRole); [t] "con"; [t] count(./children/*); [t] "elementos"',"self::infixop","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-infixop","mathspeak.default",'[t] @role (grammar:localRole); [t] "con una cantidad variable de elementos"',
-"self::infixop","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-infixop","mathspeak.brief","[t] @role (grammar:localRole)","self::infixop","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-infixop","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-addition","mathspeak.default",'[t] "suma con"; [t] count(./children/*); [t] "sumandos"',"self::infixop","@alternative",
-'@role="addition"');(0,sre.AbstractionSpanish.defineRule_)("abstr-addition","mathspeak.brief",'[t] "suma"',"self::infixop","@alternative",'@role="addition"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-addition","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-addition","mathspeak.default",'[t] "suma con n\u00famero variable de sumandos"',"self::infixop","@alternative",'@role="addition"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');
-(0,sre.AbstractionSpanish.defineRule_)("abstr-multiplication","mathspeak.default",'[t] "producto con"; [t] count(./children/*); [t] "factores"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionSpanish.defineRule_)("abstr-multiplication","mathspeak.brief",'[t] "producto"',"self::infixop","@alternative",'@role="multiplication"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-multiplication","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRuleAlias_)("abstr-multiplication",
-"self::infixop","@alternative",'@role="implicit"');(0,sre.AbstractionSpanish.defineRule_)("abstr-var-multiplication","mathspeak.default",'[t] "producto con una cantidad variable de factores"',"self::infixop","@alternative",'@role="multiplication"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRuleAlias_)("abstr-var-multiplication","self::infixop","@alternative",'@role="implicit"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');
-(0,sre.AbstractionSpanish.defineRule_)("abstr-vector","mathspeak.default",'[t] "vector de dimensi\u00f3n"; [t] count(./children/*)',"self::vector","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-vector","mathspeak.brief",'[t] "vector"',"self::vector","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-vector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-vector","mathspeak.default",'[t] "vector de dimensi\u00f3n n"',"self::vector",
-"@alternative",'./children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-binomial","mathspeak.default",'[t] "binomio"',"self::vector","@alternative",'@role="binomial"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-binomial","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-binomial","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-determinant","mathspeak.default",
-'[t] "determinante de dimensi\u00f3n"; [t] count(./children/*)',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-determinant","mathspeak.brief",'[t] "determinante"',"self::matrix","@alternative",'@role="determinant"',"self::*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-determinant","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-determinant","mathspeak.default",'[t] "determinante de dimensi\u00f3n n"',
-"self::matrix","@alternative",'@role="determinant"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-squarematrix","mathspeak.default",'[t] "matriz cuadrada de dimensi\u00f3n"; [t] count(./children/*)',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionSpanish.defineRule_)("abstr-squarematrix","mathspeak.brief",'[t] "matriz cuadrada"',"self::matrix","@alternative",'@role="squarematrix"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-squarematrix",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-rowvector","mathspeak.default",'[t] "vector fila de dimensi\u00f3n"; [t] count(./children/row/children/*) ',"self::matrix","@alternative",'@role="rowvector"');(0,sre.AbstractionSpanish.defineRule_)("abstr-rowvector","mathspeak.brief",'[t] "vector fila"',"self::matrix","@alternative",'@role="rowvector"');(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-rowvector","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-matrix",
-"mathspeak.default",'[t] "vector fila de dimensi\u00f3n n"',"self::matrix","@alternative",'@role="rowvector"','./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-matrix","mathspeak.default",'[t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [t] "matriz"',"self::matrix","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-matrix","mathspeak.brief",'[t] "matriz"',"self::matrix","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-matrix",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-matrix","mathspeak.default",'[t] "matriz de dimensi\u00f3n n por m"',"self::matrix","@alternative",'./children/*/children/*/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-cases","mathspeak.default",'[t] "declaraci\u00f3n de caso";[t] "con"; [t] count(children/*); [t] "casos"',"self::cases","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-cases","mathspeak.brief",
-'[t] "declaraci\u00f3n de caso"',"self::cases","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-cases","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-cases","mathspeak.default",'[t] "declaraci\u00f3n de caso con n\u00famero variable de casos"',"self::cases","@alternative",'./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-punctuated",
-"mathspeak.default",'[t] "lista separada por"; [n] content/*[1]; [t] "de longitud"; [t] count(children/*) - count(content/*)',"self::punctuated","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-punctuated","mathspeak.brief",'[t] "lista separada por"; [n] content/*[1]',"self::punctuated","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-punctuated","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-punctuated","mathspeak.default",
-'[t] "lista separada por"; [n] content/*[1]','[t] "de longitud variable"',"self::punctuated","@alternative",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-bigop","mathspeak.default","[n] content/*[1]","self::bigop","@alternative","self::*");(0,sre.AbstractionSpanish.defineRule_)("abstr-integral","mathspeak.default",'[t] "integral"',"self::*","@alternative",'@role="integral"');(0,sre.AbstractionSpanish.defineRule_)("abstr-relation","mathspeak.default","[t] @role (grammar:localRole);",
-"self::relseq","@alternative","count(./children/*)=2");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-relation","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-relation","mathspeak.default",'[t] "secuencia de"; [t] @role (grammar:localRole); [t] "con"; [t] count(./children/*); [t] "elementos"',"self::relseq","@alternative","count(./children/*)>2");
-(0,sre.AbstractionSpanish.defineRule_)("abstr-relation","mathspeak.brief",'[t] "secuencia de"; [t] @role (grammar:localRole)',"self::relseq","@alternative","count(./children/*)>2");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-relation","mathspeak.default",'[t] "secuencia de"; [t] @role (grammar:localRole); [t] "con una cantidad variable de elementos"',"self::relseq","@alternative","count(./children/*)>2",
-'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineUniqueRuleAlias_)("abstr-relation","mathspeak.default","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionSpanish.defineUniqueRuleAlias_)("abstr-relation","mathspeak.brief","self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-relation","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRuleAlias_)("abstr-var-relation",
-"self::multirel","@alternative",'@role!="unknown"',"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-multirel","mathspeak.default",'[t] "secuencia de relaci\u00f3n"; [t] "con"; [t] count(./children/*); [t] "elementos"',"self::multirel","@alternative","count(./children/*)>2");(0,sre.AbstractionSpanish.defineRule_)("abstr-multirel","mathspeak.brief",'[t] "secuencia de relaci\u00f3n"',"self::multirel","@alternative","count(./children/*)>2");
-(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-multirel","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-var-multirel","mathspeak.default",'[t] "secuencia de relaci\u00f3n con n\u00famero variable de elementos"',"self::multirel","@alternative","count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.AbstractionSpanish.defineRule_)("abstr-table","mathspeak.default",'[t] "mesa con"; [t] count(children/*); [t] "filas y";[t] count(children/*[1]/children/*); [t] "columnas"',
-"self::table","@alternative");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-table","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-table","mathspeak.brief","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-line","mathspeak.default",'[t] "en"; [t] @role (grammar:localRole);',"self::line","@alternative");(0,sre.AbstractionSpanish.defineRule_)("abstr-row","mathspeak.default",'[t] "en"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "con";[t] count(children/*); [t] "columnas"',
-"self::row","@alternative","*");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-row","mathspeak.default","mathspeak.brief");(0,sre.AbstractionSpanish.defineSpecialisedRule_)("abstr-row","mathspeak.default","mathspeak.sbrief");(0,sre.AbstractionSpanish.defineRule_)("abstr-cell","mathspeak.default",'[t] "en"; [t] @role (grammar:localRole);',"self::cell","@alternative")};sre.AbstractionSpanish.getInstance().initializer=[sre.AbstractionSpanish.initAbstractionSpanish_];sre.ClearspeakRules=function(){sre.MathStore.call(this)};goog.inherits(sre.ClearspeakRules,sre.MathStore);goog.addSingletonGetter(sre.ClearspeakRules);sre.ClearspeakRules.mathStore=sre.ClearspeakRules.getInstance();sre.ClearspeakRules.defineRule_=goog.bind(sre.ClearspeakRules.mathStore.defineRule,sre.ClearspeakRules.mathStore);
-sre.ClearspeakRules.initClearspeakRules_=function(){(0,sre.ClearspeakRules.defineRule_)("fraction","mathspeak.clearspeak",'[t] "the fraction with numerator"; [n] children/*[1]; [p] (pause:300); [t] "and denominator"; [n] children/*[2]; [p] (pause:500)',"self::fraction");(0,sre.ClearspeakRules.defineRule_)("sqrt","mathspeak.clearspeak",'[t] "the square root of"; [n] children/*[1]; [p] (pause:500)',"self::sqrt")};sre.ClearspeakRules.getInstance().initializer=[sre.ClearspeakRules.initClearspeakRules_];sre.MathmlStoreUtil={};sre.MathmlStoreUtil.matchMathjaxToMathml=function(a){return sre.Engine.getInstance().alternativeHost.querySelector("#"+a.id)};sre.MathmlStoreUtil.retrieveMathjaxExtender=function(a){return(a=sre.MathmlStoreUtil.matchMathjaxToMathml(a))?[a]:[]};sre.MathmlStoreUtil.retrieveMathjaxLeaf=function(a){return(a=sre.MathmlStoreUtil.matchMathjaxToMathml(a))?[a]:[]};
-sre.MathmlStoreUtil.checkMathjaxTag=function(a,b){return(a=sre.MathmlStoreUtil.matchMathjaxToMathml(a))&&a.tagName.toUpperCase()==b?[a]:[]};sre.MathmlStoreUtil.checkMathjaxMunder=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MUNDER")};sre.MathmlStoreUtil.checkMathjaxMover=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MOVER")};sre.MathmlStoreUtil.checkMathjaxMsub=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MSUB")};
-sre.MathmlStoreUtil.checkMathjaxMsup=function(a){return sre.MathmlStoreUtil.checkMathjaxTag(a,"MSUP")};sre.MathmlStoreUtil.mfencedSeparators=function(a,b){var c=sre.MathUtil.nextSeparatorFunction(b);return function(){return c?[sre.AuditoryDescription.create({text:c()},{translate:!0})]:[]}};
-sre.MathmlStoreUtil.contentIterator=function(a,b){var c=0<a.length?sre.XpathUtil.evalXPath("../../content/*",a[0]):[];return function(){var a=c.shift(),e=b?[sre.AuditoryDescription.create({text:b},{translate:!0})]:[];if(!a)return e;a=sre.SpeechRuleEngine.getInstance().evaluateNode(a);return e.concat(a)}};sre.StoreUtil={};sre.StoreUtil.nodeCounter=function(a,b){var c=a.length,d=0,e=b;b||(e="");return function(){d<c&&(d+=1);return e+" "+d}};sre.EmacspeakRules=function(){sre.MathStore.call(this)};goog.inherits(sre.EmacspeakRules,sre.MathStore);goog.addSingletonGetter(sre.EmacspeakRules);sre.EmacspeakRules.mathStore=sre.EmacspeakRules.getInstance();sre.EmacspeakRules.defineRule_=goog.bind(sre.EmacspeakRules.mathStore.defineRule,sre.EmacspeakRules.mathStore);sre.EmacspeakRules.defineRuleAlias_=goog.bind(sre.EmacspeakRules.mathStore.defineRuleAlias,sre.EmacspeakRules.mathStore);
-sre.EmacspeakRules.addContextFunction_=goog.bind(sre.EmacspeakRules.mathStore.contextFunctions.add,sre.EmacspeakRules.mathStore.contextFunctions);sre.EmacspeakRules.addCustomQuery_=goog.bind(sre.EmacspeakRules.mathStore.customQueries.add,sre.EmacspeakRules.mathStore.customQueries);sre.EmacspeakRules.addCustomString_=goog.bind(sre.EmacspeakRules.mathStore.customStrings.add,sre.EmacspeakRules.mathStore.customStrings);
-sre.EmacspeakRules.initCustomFunctions_=function(){(0,sre.EmacspeakRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.EmacspeakRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator);(0,sre.EmacspeakRules.addCustomQuery_)("CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction);(0,sre.EmacspeakRules.addCustomString_)("CSFvulgarFraction",sre.MathspeakUtil.vulgarFraction)};
-sre.EmacspeakRules.initSemanticRules_=function(){(0,sre.EmacspeakRules.defineRule_)("stree","emacspeak.default","[n] ./*[1]","self::stree");(0,sre.EmacspeakRules.defineRule_)("multrel","emacspeak.default",'[t] "multirelation"; [m] children/* (sepFunc:CTXFcontentIterator)',"self::multirel");(0,sre.EmacspeakRules.defineRule_)("variable-equality","emacspeak.default",'[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',
-"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.EmacspeakRules.defineRule_)("multi-equality","emacspeak.default",'[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");(0,sre.EmacspeakRules.defineRule_)("multi-equality","emacspeak.short",'[t] "equation sequence"; [m] children/* (sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");
-(0,sre.EmacspeakRules.defineRule_)("equality","emacspeak.default",'[t] "equation"; [t] "left hand side"; [n] children/*[1];[p] (pause:200); [n] content/*[1] (pause:200);[t] "right hand side"; [n] children/*[2]','self::relseq[@role="equality"]',"count(./children/*)=2");(0,sre.EmacspeakRules.defineRule_)("simple-equality","emacspeak.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/identifier or ./children/number");
-(0,sre.EmacspeakRules.defineRule_)("simple-equality2","emacspeak.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/function or ./children/appl");(0,sre.EmacspeakRules.defineRule_)("relseq","emacspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.EmacspeakRules.defineRule_)("implicit","emacspeak.default","[m] children/*","self::infixop",'@role="implicit"',
-'children/*[1][@role="latinletter"] or children/*[1][@role="greekletter"] or children/*[1][@role="otherletter"] or name(children/*[1])="number"','children/*[2][@role="latinletter"] or children/*[2][@role="greekletter"] or children/*[2][@role="otherletter"] or name(children/*[2])="number"');(0,sre.EmacspeakRules.defineRule_)("binary-operation","emacspeak.default","[p] (pause:100); [m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:100);","self::infixop");(0,sre.EmacspeakRules.defineRule_)("variable-addition",
-"emacspeak.default",'[t] "sum with variable number of summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator)','self::infixop[@role="addition"]',"count(children/*)>2",'children/punctuation[@role="ellipsis"]');(0,sre.EmacspeakRules.defineRule_)("prefix","emacspeak.default",'[t] "prefix"; [n] text(); [t] "of" (pause 150);[n] children/*[1]',"self::prefixop");(0,sre.EmacspeakRules.defineRule_)("negative","emacspeak.default",'[t] "negative"; [n] children/*[1]',"self::prefixop",'self::prefixop[@role="negative"]');
-(0,sre.EmacspeakRules.defineRule_)("postfix","emacspeak.default",'[n] children/*[1]; [t] "postfix"; [n] text() (pause 300)',"self::postfixop");(0,sre.EmacspeakRules.defineRule_)("identifier","emacspeak.default","[n] text()","self::identifier");(0,sre.EmacspeakRules.defineRule_)("number","emacspeak.default","[n] text()","self::number");(0,sre.EmacspeakRules.defineRule_)("font","mathspeak.default","[t] @font; [n] . (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))',
-'@font!="normal"');(0,sre.EmacspeakRules.defineRule_)("font-identifier-short","emacspeak.default","[t] @font; [n] CQFhideFont; [t] CSFshowFont","self::identifier","string-length(text())=1","@font",'@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")',
-'@role!="unit"');(0,sre.EmacspeakRules.defineRule_)("font-identifier","mathspeak.default","[t] @font; [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.EmacspeakRules.defineRule_)("omit-font","mathspeak.default","[n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.EmacspeakRules.defineRule_)("simple-fraction",
-"emacspeak.default",'[p] (pause:100); [n] children/*[1] (rate:0.35); [t] "over";  [n] children/*[2] (rate:-0.35); [p] (pause:100)',"self::fraction",'name(children/*[1])="number" or name(children/*[1])="identifier"','name(children/*[2])="number" or name(children/*[2])="identifier"');(0,sre.EmacspeakRules.defineRule_)("vulgar-fraction","emacspeak.default","[t] CSFvulgarFraction","self::fraction",'@role="vulgar"',"CQFvulgarFractionSmall");(0,sre.EmacspeakRules.defineRule_)("fraction","emacspeak.default",
-'[p] (pause:250); [n] children/*[1] (rate:0.35); [p] (pause:250); [t] "divided by"; [p] (pause:250);  [n] children/*[2] (rate:-0.35); [p] (pause:250)',"self::fraction");(0,sre.EmacspeakRules.defineRule_)("superscript","emacspeak.default",'[n] children/*[1]; [t] "super"; [n] children/*[2] (pitch:0.35);[p] (pause:300)',"self::superscript");(0,sre.EmacspeakRules.defineRule_)("subscript","emacspeak.default",'[n] children/*[1]; [t] "sub"; [n] children/*[2] (pitch:-0.35);[p] (pause:300)',"self::subscript");
-(0,sre.EmacspeakRules.defineRule_)("ellipsis","emacspeak.default",'[p] (pause:200); [t] "ellipsis"; [p] (pause:300)',"self::punctuation",'self::punctuation[@role="ellipsis"]');(0,sre.EmacspeakRules.defineRule_)("fence-single","emacspeak.default","[n] text()","self::punctuation",'self::punctuation[@role="openfence"]');(0,sre.EmacspeakRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="closefence"]');(0,sre.EmacspeakRules.defineRuleAlias_)("fence-single","self::punctuation",
-'self::punctuation[@role="vbar"]');(0,sre.EmacspeakRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="application"]');(0,sre.EmacspeakRules.defineRule_)("omit-empty","emacspeak.default","[p] (pause:100)","self::empty");(0,sre.EmacspeakRules.defineRule_)("fences-open-close","emacspeak.default","[p] (pause:200); [n] children/*[1] (rate:0.35); [p] (pause:200)","self::fenced",'@role="leftright"');(0,sre.EmacspeakRules.defineRule_)("fences-open-close-in-appl","emacspeak.default",
-"[p] (pause:200); [n] children/*[1]; [p] (pause:200);",'self::fenced[@role="leftright"]',"./parent::children/parent::appl");(0,sre.EmacspeakRules.defineRule_)("fences-neutral","emacspeak.default",'[p] (pause:100); [t] "absolute value of"; [n] children/*[1];[p] (pause:350);',"self::fenced",'self::fenced[@role="neutral"]');(0,sre.EmacspeakRules.defineRule_)("omit-fences","emacspeak.default","[p] (pause:500); [n] children/*[1]; [p] (pause:200);","self::fenced");(0,sre.EmacspeakRules.defineRule_)("matrix",
-"emacspeak.default",'[t] "matrix"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::matrix");(0,sre.EmacspeakRules.defineRule_)("matrix-row","emacspeak.default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)','self::row[@role="matrix"]');(0,sre.EmacspeakRules.defineRule_)("matrix-cell","emacspeak.default","[n] children/*[1]",'self::cell[@role="matrix"]');(0,sre.EmacspeakRules.defineRule_)("vector","emacspeak.default",'[t] "vector"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"element",pause:100)',
-"self::vector");(0,sre.EmacspeakRules.defineRule_)("cases","emacspeak.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100)',"self::cases");(0,sre.EmacspeakRules.defineRule_)("cases-row","emacspeak.default","[m] children/*",'self::row[@role="cases"]');(0,sre.EmacspeakRules.defineRule_)("cases-cell","emacspeak.default","[n] children/*[1]",'self::cell[@role="cases"]');(0,sre.EmacspeakRules.defineRule_)("row","emacspeak.default",'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',
-"self::row");(0,sre.EmacspeakRules.defineRule_)("cases-end","emacspeak.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100);[t] "end cases"',"self::cases","following-sibling::*");(0,sre.EmacspeakRules.defineRule_)("multiline","emacspeak.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"line",pause:100)',"self::multiline");(0,sre.EmacspeakRules.defineRule_)("line","emacspeak.default","[m] children/*","self::line");(0,sre.EmacspeakRules.defineRule_)("table",
-"emacspeak.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table");(0,sre.EmacspeakRules.defineRule_)("table-row","emacspeak.default","[m] children/* (pause:100)",'self::row[@role="table"]');(0,sre.EmacspeakRules.defineRuleAlias_)("cases-cell",'self::cell[@role="table"]');(0,sre.EmacspeakRules.defineRule_)("end-punct","emacspeak.default","[m] children/*; [p] (pause:300)","self::punctuated",'@role="endpunct"');(0,sre.EmacspeakRules.defineRule_)("start-punct",
-"emacspeak.default","[n] content/*[1]; [p] (pause:200); [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.EmacspeakRules.defineRule_)("integral-punct","emacspeak.default","[n] children/*[1] (rate:0.2); [n] children/*[3] (rate:0.2)","self::punctuated",'@role="integral"');(0,sre.EmacspeakRules.defineRule_)("punctuated","emacspeak.default","[m] children/* (pause:100)","self::punctuated");(0,sre.EmacspeakRules.defineRule_)("function","emacspeak.default","[n] text()","self::function");
-(0,sre.EmacspeakRules.defineRule_)("appl","emacspeak.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::appl");(0,sre.EmacspeakRules.defineRule_)("sum-only","emacspeak.default",'[n] children/*[1]; [t] "from"; [n] children/*[2]; [t] "to";[n] children/*[3]',"self::limboth",'@role="sum" or @role="integral"');(0,sre.EmacspeakRules.defineRule_)("limboth","emacspeak.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[t] "under"; [n] children/*[3]; [p] (pause 250);',
-"self::limboth");(0,sre.EmacspeakRules.defineRule_)("limlower","emacspeak.default",'[n] children/*[1]; [t] "over"; [n] children/*[2];',"self::limlower");(0,sre.EmacspeakRules.defineRule_)("limupper","emacspeak.default",'[n] children/*[1]; [t] "under"; [n] children/*[2];',"self::limupper");(0,sre.EmacspeakRules.defineRule_)("largeop","emacspeak.default","[n] text()","self::largeop");(0,sre.EmacspeakRules.defineRule_)("bigop","emacspeak.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[p] (pause 250);',
-"self::bigop");(0,sre.EmacspeakRules.defineRule_)("integral","emacspeak.default","[n] children/*[1]; [p] (pause 100); [n] children/*[2];[p] (pause 200); [n] children/*[3] (rate:0.35);","self::integral");(0,sre.EmacspeakRules.defineRule_)("sqrt","emacspeak.default",'[t] "Square root of"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::sqrt");(0,sre.EmacspeakRules.defineRule_)("square","emacspeak.default",'[n] children/*[1]; [t] "squared" (pitch:0.35); [p] (pause:200)',"self::superscript","children/*[2][text()=2]",
-'name(./children/*[1])!="text"');(0,sre.EmacspeakRules.defineRule_)("cube","emacspeak.default",'[n] children/*[1]; [t] "cubed" (pitch:0.35); [p] (pause:200)',"self::superscript","children/*[2][text()=3]",'name(./children/*[1])!="text"');(0,sre.EmacspeakRules.defineRule_)("root","emacspeak.default",'[t] "root of order"; [n] children/*[1];[t] "over"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::root");(0,sre.EmacspeakRules.defineRule_)("text-no-mult","emacspeak.default","[n] children/*[1]; [p] (pause:200); [n] children/*[2]",
-"self::infixop","children/text");(0,sre.EmacspeakRules.defineRule_)("text","emacspeak.default","[n] text(); [p] (pause:200)","self::text");(0,sre.EmacspeakRules.defineRule_)("unit","emacspeak.default","[t] text() (annotation:unit, preprocess)","self::identifier",'@role="unit"');(0,sre.EmacspeakRules.defineRule_)("unit-square","emacspeak.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.EmacspeakRules.defineRule_)("unit-cubic",
-"emacspeak.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.EmacspeakRules.defineRule_)("reciprocal","emacspeak.default",'[t] "reciprocal"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');
-(0,sre.EmacspeakRules.defineRule_)("reciprocal","emacspeak.default",'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'preceding-sibling::*[@role="unit"]');(0,sre.EmacspeakRules.defineRule_)("unit-combine","emacspeak.default","[m] children/*","self::infixop",'@role="unit"');(0,sre.EmacspeakRules.defineRule_)("unit-divide","emacspeak.default",
-'[n] children/*[1] (pitch:0.3); [t] "per"; [n] children/*[2] (pitch:-0.3)',"self::fraction",'@role="unit"')};sre.EmacspeakRules.getInstance().initializer=[sre.EmacspeakRules.initCustomFunctions_,sre.EmacspeakRules.initSemanticRules_];sre.MathmlStore=function(){sre.MathStore.call(this)};goog.inherits(sre.MathmlStore,sre.MathStore);goog.addSingletonGetter(sre.MathmlStore);sre.MathmlStore.prototype.defineMathmlRule=function(a,b,c){this.defineRule(a,b,c,"self::mathml:"+a)};sre.MathmlStore.prototype.defineDefaultMathmlRule=function(a,b){this.defineRule(a,"default.default",b,"self::mathml:"+a)};sre.MathmlStoreRules=function(){sre.MathmlStore.call(this)};goog.inherits(sre.MathmlStoreRules,sre.MathmlStore);goog.addSingletonGetter(sre.MathmlStoreRules);sre.MathmlStoreRules.mathStore=sre.MathmlStoreRules.getInstance();sre.MathmlStoreRules.defineDefaultMathmlRule_=goog.bind(sre.MathmlStoreRules.mathStore.defineDefaultMathmlRule,sre.MathmlStoreRules.mathStore);sre.MathmlStoreRules.defineRule_=goog.bind(sre.MathmlStoreRules.mathStore.defineRule,sre.MathmlStoreRules.mathStore);
-sre.MathmlStoreRules.defineRuleAlias_=goog.bind(sre.MathmlStoreRules.mathStore.defineRuleAlias,sre.MathmlStoreRules.mathStore);sre.MathmlStoreRules.addContextFunction_=goog.bind(sre.MathmlStoreRules.mathStore.contextFunctions.add,sre.MathmlStoreRules.mathStore.contextFunctions);sre.MathmlStoreRules.addCustomQuery_=goog.bind(sre.MathmlStoreRules.mathStore.customQueries.add,sre.MathmlStoreRules.mathStore.customQueries);
-sre.MathmlStoreRules.initCustomFunctions_=function(){(0,sre.MathmlStoreRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.MathmlStoreRules.addContextFunction_)("CTXFmfSeparators",sre.MathmlStoreUtil.mfencedSeparators);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFextender",sre.MathmlStoreUtil.retrieveMathjaxExtender);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmunder",sre.MathmlStoreUtil.checkMathjaxMunder);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmover",
-sre.MathmlStoreUtil.checkMathjaxMover);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmsub",sre.MathmlStoreUtil.checkMathjaxMsub);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFmathmlmsup",sre.MathmlStoreUtil.checkMathjaxMsup);(0,sre.MathmlStoreRules.addCustomQuery_)("CQFlookupleaf",sre.MathmlStoreUtil.retrieveMathjaxLeaf)};
-sre.MathmlStoreRules.initDefaultRules_=function(){(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("math","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("semantics","[n] ./*[1]");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mspace","[p] (pause:250)");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mstyle","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mpadded","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("merror","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mphantom",
-"[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mtext","[t] text(); [p] (pause:200)");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mi","[n] text()");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mo","[n] text() (rate:-0.1)");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mn","[n] text()");(0,sre.MathmlStoreRules.defineRule_)("mtext-variant","default.default",'[t] "begin"; [t] @mathvariant (pause:150);[t] text() (pause:150); [t] "end"; [t] @mathvariant (pause:200)',"self::mathml:mtext",
-"@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineRule_)("mi-variant","default.default","[t] @mathvariant; [n] text()","self::mathml:mi","@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineRuleAlias_)("mi-variant","self::mathml:mn","@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineRule_)("mo-variant","default.default","[t] @mathvariant; [n] text() (rate:-0.1)","self::mathml:mo","@mathvariant",'@mathvariant!="normal"');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("ms",
-'[t] "string" (pitch:0.5, rate:0.5); [t] text()');(0,sre.MathmlStoreRules.defineRule_)("unit","default.default",'[t] text() (grammar:annotation="unit":translate)',"self::mathml:mi",'@class="MathML-Unit"');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msup",'[n] ./*[1]; [t] "super";[n] ./*[2] (pitch:0.35); [p] (pause:300)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msubsup",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "super"; [n] ./*[3] (pitch:0.35); [p] (pause:300)');
-(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msub",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:300)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mover",'[n] ./*[2] (pitch:0.35); [p] (pause:200); [t] "over"; [n] ./*[1]; [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("munder",'[n] ./*[2] (pitch:-0.35); [t] "under"; [n] ./*[1]; [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("munderover",'[n] ./*[2] (pitch:-0.35); [t] "under and"; [n] ./*[3] (pitch:0.35); [t] "over"; [n] ./*[1]; [p] (pause:400)');
-(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mrow","[m] ./*");(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("msqrt",'[t] "Square root of"; [m] ./* (rate:0.2); [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mroot",'[t] "root of order"; [n] ./*[2]; [t] "of";[n] ./*[1] (rate:0.2); [p] (pause:400)');(0,sre.MathmlStoreRules.defineDefaultMathmlRule_)("mfrac",' [p] (pause:400); [n] ./*[1] (pitch:0.3); [t] "divided by"; [n] ./*[2] (pitch:-0.3); [p] (pause:400)');(0,sre.MathmlStoreRules.defineRule_)("mfrac",
-"default.short",'[p] (pause:200); [t] "start frac";[n] ./*[1] (pitch:0.3); [t] "over"; [n] ./*[2] (pitch:-0.3); [p] (pause:400); [t] "end frac"',"self::mathml:mfrac");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default","[n] @open; [m] ./* (separator:@separators); [n] @close","self::mathml:mfenced","@open","@close","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:@separators); [n] @close',
-"self::mathml:mfenced","not(@open)","@close","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced","not(@open)","not(@close)","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-single","default.default",'[n] @open; [m] ./* (separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced",
-"@open","not(@close)","string-length(string(@separators))=1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default","[n] @open; [m] ./*; [n] @close","self::mathml:mfenced","@separators","@open","@close",'string(@separators)="" or string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[t] "(" (grammar:translate); [m] ./*; [n] @close',"self::mathml:mfenced","@separators","not(@open)","@close",'string(@separators)="" or string(@separators)=" "');
-(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[n] @open; [m] ./*; [t] ")" (grammar:translate)',"self::mathml:mfenced","@separators","@open","not(@close)",'string(@separators)="" or string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-omit","default.default",'[t] "(" (grammar:translate); [m] ./*; [t] ")" (grammar:translate)',"self::mathml:mfenced","@separators","not(@open)","not(@close)",'string(@separators)="" or string(@separators)=" "');(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma",
-"default.default",'[n] @open; [m] ./* (separator:"comma"); [n] @close',"self::mathml:mfenced","@open","@close","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:"comma"); [n] @close',"self::mathml:mfenced","not(@open)","@close","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[n] @open; [m] ./* (separator:"comma"); [t] ")" (grammar:translate)',"self::mathml:mfenced",
-"@open","not(@close)","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-comma","default.default",'[t] "(" (grammar:translate); [m] ./* (separator:"comma"); [t] ")" (grammar:translate)',"self::mathml:mfenced","not(@open)","not(@close)","not(@separators)");(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default","[n] @open; [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [n] @close","self::mathml:mfenced","@open","@close","string-length(string(@separators))>1");
-(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[t] "(" (grammar:translate); [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [n] @close',"self::mathml:mfenced","not(@open)","@close","string-length(string(@separators))>1");(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[n] @open; [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced","@open","not(@close)","string-length(string(@separators))>1");
-(0,sre.MathmlStoreRules.defineRule_)("mfenced-multi","default.default",'[t] "(" (grammar:translate); [m] ./* (sepFunc:CTXFmfSeparators, separator:@separators); [t] ")" (grammar:translate)',"self::mathml:mfenced","not(@open)","not(@close)","string-length(string(@separators))>1");(0,sre.MathmlStoreRules.defineRule_)("mtable","default.default",'[t] "matrix"; [m] ./* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::mathml:mtable");(0,sre.MathmlStoreRules.defineRule_)("mtr","default.default",
-'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',"self::mathml:mtr");(0,sre.MathmlStoreRules.defineRule_)("mtd","default.default","[m] ./*","self::mathml:mtd");(0,sre.MathmlStoreRules.defineRule_)("mtable","default.superbrief",'[t] count(child::mathml:mtr);  [t] "by";[t] count(child::mathml:mtr[1]/mathml:mtd); [t] "matrix";',"self::mathml:mtable");(0,sre.MathmlStoreRules.defineRule_)("mtable","default.short",'[t] "matrix"; [m] ./*',"self::mathml:mtable");(0,sre.MathmlStoreRules.defineRule_)("mtr",
-"default.short","[m] ./*","self::mathml:mtr");(0,sre.MathmlStoreRules.defineRule_)("mtd","default.short",'[t] "Element"; [t] count(./preceding-sibling::mathml:mtd)+1;[t] count(./parent::mathml:mtr/preceding-sibling::mathml:mtr)+1;[p] (pause:500); [m] ./*',"self::mathml:mtd");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-4","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',
-"self::mathml:mmultiscripts");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-1","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-2","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);',
-"self::mathml:mmultiscripts","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-3","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[5]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-3-4",
-"default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "right sub"; [n] ./*[2] (pitch:-0.35); [p] (pause:200);[t] "right super"; [n] ./*[3] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[6]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-2-1","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:300);',
-"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-1-1","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left super"; [n] ./*[6] (pitch:0.35); [p] (pause:300);',"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]","./mathml:none=./*[5]");(0,sre.MathmlStoreRules.defineRule_)("mmultiscripts-1-2","default.default",'[n] ./*[1]; [p] (pause:200);[t] "left sub"; [n] ./*[5] (pitch:-0.35); [p] (pause:200);',
-"self::mathml:mmultiscripts","./mathml:none=./*[2]","./mathml:none=./*[3]","./mathml:mprescripts=./*[4]","./mathml:none=./*[6]")};
-sre.MathmlStoreRules.initMathjaxRules_=function(){(0,sre.MathmlStoreRules.defineRule_)("mj-math","default.default","[n] ./*[1]/*[1]/*[1]",'self::span[@class="math"]');(0,sre.MathmlStoreRules.defineRule_)("mj-leaf","default.default","[n] CQFlookupleaf",'self::span[@class="mi"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mo"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mn"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mtext"]');
-(0,sre.MathmlStoreRules.defineRule_)("mj-mo-ext","default.default","[n] CQFextender",'self::span[@class="mo"]',"./*[1]/*[1]/text()","./*[1]/*[2]/text()");(0,sre.MathmlStoreRules.defineRule_)("mj-texatom","default.default","[n] ./*[1]",'self::span[@class="texatom"]');(0,sre.MathmlStoreRules.defineRule_)("mj-msubsup","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub"; [n] ./*[1]/*[3]/*[1] (pitch:-0.35);[p] (pause:200); [t] "super"; [n] ./*[1]/*[2]/*[1] (pitch:0.35);[p] (pause:300)','self::span[@class="msubsup"]');
-(0,sre.MathmlStoreRules.defineRule_)("mj-msub","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub";[n] ./*[1]/*[2]/*[1] (pitch:-0.35); [p] (pause:300)','self::span[@class="msub"]');(0,sre.MathmlStoreRules.defineRule_)("mj-msup","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "super";[n] ./*[1]/*[2]/*[1] (pitch:0.35); [p] (pause:300)','self::span[@class="msup"]');(0,sre.MathmlStoreRules.defineRule_)("mj-munderover","default.default",'[n] ./*[1]/*[2]/*[1] (pitch:0.35); [t] "under and";[n] ./*[1]/*[3]/*[1] (pitch:-0.35); [t] "over";[n] ./*[1]/*[1]/*[1]; [p] (pause:400)',
-'self::span[@class="munderover"]');(0,sre.MathmlStoreRules.defineRule_)("mj-munder","default.default",'[n] ./*[1]/*[2]/*[1] (pitch:0.35); [t] "under";[n] ./*[1]/*[1]/*[1]; [p] (pause:400)','self::span[@class="munder"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mover","default.default",'[n] ./*[1]/*[2]/*[1] (pitch:0.35); [t] "over";[n] ./*[1]/*[1]/*[1]; [p] (pause:400)','self::span[@class="mover"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mfrac","default.default",'[p] (pause:250); [n] ./*[1]/*[1]/*[1] (pitch:0.3); [p] (pause:250); [t] "divided by"; [n] ./*[1]/*[2]/*[1] (pitch:-0.3);[p] (pause:400)',
-'self::span[@class="mfrac"]');(0,sre.MathmlStoreRules.defineRule_)("mj-msqrt","default.default",'[t] "Square root of";[n] ./*[1]/*[1]/*[1] (rate:0.2); [p] (pause:400)','self::span[@class="msqrt"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mroot","default.default",'[t] "root of order"; [n] ./*[1]/*[4]/*[1]; [t] "of";[n] ./*[1]/*[1]/*[1] (rate:0.2); [p] (pause:400)','self::span[@class="mroot"]');(0,sre.MathmlStoreRules.defineRule_)("mj-mfenced","default.default",'[t] "opening"; [n] ./*[1]; [m] ./*[position()>1 and position()<last()]; [t] "closing"; [n] ./*[last()]',
-'self::span[@class="mfenced"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mtable"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-leaf",'self::span[@class="mmultiscripts"]')};
-sre.MathmlStoreRules.initAliases_=function(){(0,sre.MathmlStoreRules.defineRuleAlias_)("mspace",'self::span[@class="mspace"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mstyle",'self::span[@class="mstyle"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mpadded",'self::span[@class="mpadded"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("merror",'self::span[@class="merror"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mphantom",'self::span[@class="mphantom"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("ms",
-'self::span[@class="ms"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mrow",'self::span[@class="mrow"]');(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-msub",'self::span[@class="msubsup"]',"CQFmathmlmsub");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-msup",'self::span[@class="msubsup"]',"CQFmathmlmsup");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-munder",'self::span[@class="munderover"]',"CQFmathmlmunder");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-mover",'self::span[@class="munderover"]',"CQFmathmlmover")};
-sre.MathmlStoreRules.initSpecializationRules_=function(){(0,sre.MathmlStoreRules.defineRule_)("square","default.default",'[n] ./*[1]; [t] "square" (pitch:0.35); [p] (pause:300)',"self::mathml:msup","./*[2][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("square","self::mathml:msup","./mathml:mrow=./*[2]","count(./*[2]/*)=1","./*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRule_)("cube","default.default",'[n] ./*[1]; [t] "cube" (pitch:0.35); [p] (pause:300)',"self::mathml:msup","./*[2][text()=3]");
-(0,sre.MathmlStoreRules.defineRuleAlias_)("cube","self::mathml:msup","./mathml:mrow=./*[2]","count(./*[2]/*)=1","./*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRule_)("square-sub","default.default",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35);[p] (pause:300); [t] "square" (pitch:0.35); [p] (pause:400)',"self::mathml:msubsup","./*[3][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("square-sub","self::mathml:msubsup","./mathml:mrow=./*[3]","count(./*[3]/*)=1","./*[3]/*[1][text()=2]");
-(0,sre.MathmlStoreRules.defineRule_)("cube-sub","default.default",'[n] ./*[1]; [t] "sub"; [n] ./*[2] (pitch:-0.35);[p] (pause:300); [t] "cube" (pitch:0.35); [p] (pause:400)',"self::mathml:msubsup","./*[3][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("cube-sub","self::mathml:msubsup","./mathml:mrow=./*[3]","count(./*[3]/*)=1","./*[3]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRule_)("mj-square","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "square" (pitch:0.35); [p] (pause:300)','self::span[@class="msup"]',
-"./*[1]/*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square",'self::span[@class="msup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square",'self::span[@class="msubsup"]',"CQFmathmlmsup","./*[1]/*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square",'self::span[@class="msubsup"]',"CQFmathmlmsup",'./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',
-"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRule_)("mj-cube","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "cube" (pitch:0.35); [p] (pause:300)','self::span[@class="msup"]',"./*[1]/*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube",'self::span[@class="msup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube",
-'self::span[@class="msubsup"]',"CQFmathmlmsup","./*[1]/*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube",'self::span[@class="msubsup"]',"CQFmathmlmsup",'./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRule_)("mj-square-sub","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub"; [n] ./*[1]/*[3]/*[1] (pitch:-0.35); [p] (pause:300); [t] "square" (pitch:0.35); [p] (pause:400)','self::span[@class="msubsup"]',
-"./*[1]/*[2]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-square-sub",'self::span[@class="msubsup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=2]");(0,sre.MathmlStoreRules.defineRule_)("mj-cube-sub","default.default",'[n] ./*[1]/*[1]/*[1]; [t] "sub"; [n] ./*[1]/*[3]/*[1] (pitch:-0.35); [p] (pause:300); [t] "cube" (pitch:0.35); [p] (pause:400)','self::span[@class="msubsup"]',"./*[1]/*[2]/*[1][text()=3]");(0,sre.MathmlStoreRules.defineRuleAlias_)("mj-cube-sub",
-'self::span[@class="msubsup"]','./*[1]/*[2]/*[1]=./*[1]/*[2]/span[@class="mrow"]',"count(./*[1]/*[2]/*[1]/*)=1","./*[1]/*[2]/*[1]/*[1][text()=3]")};sre.MathmlStoreRules.getInstance().initializer=[sre.MathmlStoreRules.initCustomFunctions_,sre.MathmlStoreRules.initDefaultRules_,sre.MathmlStoreRules.initMathjaxRules_,sre.MathmlStoreRules.initAliases_,sre.MathmlStoreRules.initSpecializationRules_];sre.MathspeakRules=function(){sre.MathStore.call(this)};goog.inherits(sre.MathspeakRules,sre.MathStore);goog.addSingletonGetter(sre.MathspeakRules);sre.MathspeakRules.mathStore=sre.MathspeakRules.getInstance();sre.MathspeakRules.defineRule_=goog.bind(sre.MathspeakRules.mathStore.defineRule,sre.MathspeakRules.mathStore);sre.MathspeakRules.defineRuleAlias_=goog.bind(sre.MathspeakRules.mathStore.defineRulesAlias,sre.MathspeakRules.mathStore);
-sre.MathspeakRules.defineSpecialisedRule_=goog.bind(sre.MathspeakRules.mathStore.defineSpecialisedRule,sre.MathspeakRules.mathStore);sre.MathspeakRules.addContextFunction_=goog.bind(sre.MathspeakRules.mathStore.contextFunctions.add,sre.MathspeakRules.mathStore.contextFunctions);sre.MathspeakRules.addCustomQuery_=goog.bind(sre.MathspeakRules.mathStore.customQueries.add,sre.MathspeakRules.mathStore.customQueries);
-sre.MathspeakRules.addCustomString_=goog.bind(sre.MathspeakRules.mathStore.customStrings.add,sre.MathspeakRules.mathStore.customStrings);
-sre.MathspeakRules.initCustomFunctions_=function(){(0,sre.MathspeakRules.addCustomQuery_)("CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber);(0,sre.MathspeakRules.addCustomQuery_)("CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier);(0,sre.MathspeakRules.addCustomString_)("CSFspaceoutText",sre.MathspeakUtil.spaceoutText);(0,sre.MathspeakRules.addCustomString_)("CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFcloseFracVerbose",sre.MathspeakUtil.closingFractionVerbose);
-(0,sre.MathspeakRules.addCustomString_)("CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief);(0,sre.MathspeakRules.addCustomString_)("CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief);(0,sre.MathspeakRules.addCustomString_)("CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief);(0,sre.MathspeakRules.addCustomString_)("CSFcloseFracSbrief",sre.MathspeakUtil.closingFractionSbrief);
-(0,sre.MathspeakRules.addCustomString_)("CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief);(0,sre.MathspeakRules.addCustomString_)("CSFvulgarFraction",sre.MathspeakUtil.vulgarFraction);(0,sre.MathspeakRules.addCustomQuery_)("CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction);(0,sre.MathspeakRules.addCustomString_)("CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFcloseRadicalVerbose",sre.MathspeakUtil.closingRadicalVerbose);
-(0,sre.MathspeakRules.addCustomString_)("CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFopenRadicalBrief",sre.MathspeakUtil.openingRadicalBrief);(0,sre.MathspeakRules.addCustomString_)("CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief);(0,sre.MathspeakRules.addCustomString_)("CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief);(0,sre.MathspeakRules.addCustomString_)("CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief);
-(0,sre.MathspeakRules.addCustomString_)("CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief);(0,sre.MathspeakRules.addCustomString_)("CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief);(0,sre.MathspeakRules.addCustomString_)("CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief);(0,sre.MathspeakRules.addCustomString_)("CSFbaselineVerbose",
-sre.MathspeakUtil.baselineVerbose);(0,sre.MathspeakRules.addCustomString_)("CSFbaselineBrief",sre.MathspeakUtil.baselineBrief);(0,sre.MathspeakRules.addCustomString_)("CSFunderscript",sre.MathspeakUtil.nestedUnderscore);(0,sre.MathspeakRules.addCustomString_)("CSFoverscript",sre.MathspeakUtil.nestedOverscore);(0,sre.MathspeakRules.addContextFunction_)("CTXFordinalCounter",sre.MathspeakUtil.ordinalCounter);(0,sre.MathspeakRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator);
-(0,sre.MathspeakRules.addCustomQuery_)("CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple);(0,sre.MathspeakRules.addCustomString_)("CSFRemoveParens",sre.MathspeakUtil.removeParens);(0,sre.MathspeakRules.addCustomQuery_)("CQFresetNesting",sre.MathspeakUtil.resetNestingDepth)};
-sre.MathspeakRules.initMathspeakRules_=function(){(0,sre.MathspeakRules.defineRule_)("stree","mathspeak.default","[n] ./*[1]","self::stree","CQFresetNesting");(0,sre.MathspeakRules.defineRule_)("unknown","mathspeak.default","[n] text()","self::unknown");(0,sre.MathspeakRules.defineRule_)("protected","mathspeak.default","[t] text()","self::*",'@role="protected"');(0,sre.MathspeakRules.defineRule_)("omit-empty","mathspeak.default","[p] (pause:100)","self::empty");(0,sre.MathspeakRules.defineRule_)("blank-empty",
-"mathspeak.default",'[t] "Blank"',"self::empty","count(../*)=1",'name(../..)="cell" or name(../..)="line"');(0,sre.MathspeakRules.defineRule_)("font","mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"');(0,sre.MathspeakRules.defineRule_)("font-identifier-short","mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1",
-"@font",'not(contains(@grammar, "ignoreFont"))','@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")','@role!="unit"');(0,sre.MathspeakRules.defineRule_)("font-identifier",
-"mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.MathspeakRules.defineRule_)("omit-font","mathspeak.default","[n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.MathspeakRules.defineRule_)("german-font","mathspeak.default",'[t] "German"; [n] . (grammar:ignoreFont=@font)',
-"self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font="fraktur"');(0,sre.MathspeakRules.defineRule_)("german-font","mathspeak.default",'[t] "bold German"; [n] . (grammar:ignoreFont=@font)',"self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font="bold-fraktur"');(0,sre.MathspeakRules.defineRule_)("number","mathspeak.default","[n] text()","self::number");(0,sre.MathspeakRules.defineRule_)("mixed-number","mathspeak.default",'[n] children/*[1]; [t] "and"; [n] children/*[2]; ',"self::number",
-'@role="mixed"');(0,sre.MathspeakRules.defineRule_)("number-with-chars","mathspeak.default",'[t] "Number"; [m] CQFspaceoutNumber',"self::number",'"" != translate(text(), "0123456789.,", "")','text() != translate(text(), "0123456789.,", "")');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-with-chars","mathspeak.default","mathspeak.brief",'[t] "Num"; [m] CQFspaceoutNumber');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-with-chars","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("number-as-upper-word",
-"mathspeak.default",'[t] "UpperWord"; [t] CSFspaceoutText',"self::number","string-length(text())>1",'text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9")','""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")');
-(0,sre.MathspeakRules.defineRule_)("number-baseline","mathspeak.default",'[t] "Baseline"; [n] text()',"self::number",'not(contains(@grammar, "ignoreFont"))',"preceding-sibling::identifier",'preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline","mathspeak.default","mathspeak.brief",'[t] "Base"; [n] text()');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("number-baseline-font","mathspeak.default",'[t] "Baseline"; [t] @font; [n] . (grammar:ignoreFont=@font)',"self::number","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"',"preceding-sibling::identifier",'preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline-font","mathspeak.default",
-"mathspeak.brief",'[t] "Base"; [n] text()');(0,sre.MathspeakRules.defineSpecialisedRule_)("number-baseline-font","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("identifier","mathspeak.default","[m] CQFspaceoutIdentifier","self::identifier","string-length(text())>1",'@role!="unit"','@role!="protected"','not(@font) or @font="normal" or contains(@grammar, "ignoreFont")');(0,sre.MathspeakRules.defineRule_)("identifier","mathspeak.default","[n] text()","self::identifier",'@role="protected"');
-(0,sre.MathspeakRules.defineRule_)("negative","mathspeak.default",'[t] "negative"; [n] children/*[1]',"self::prefixop",'@role="negative"',"children/identifier");(0,sre.MathspeakRules.defineRuleAlias_)("negative","self::prefixop",'@role="negative"',"children/number");(0,sre.MathspeakRules.defineRuleAlias_)("negative","self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]');(0,sre.MathspeakRules.defineRule_)("negative","mathspeak.default",'[t] "minus"; [n] children/*[1]',"self::prefixop",
-'@role="negative"');(0,sre.MathspeakRules.defineRule_)("prefix","mathspeak.default","[n] text(); [n] children/*[1]","self::prefixop");(0,sre.MathspeakRules.defineRule_)("postfix","mathspeak.default","[n] children/*[1]; [n] text()","self::postfixop");(0,sre.MathspeakRules.defineRule_)("binary-operation","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop");(0,sre.MathspeakRules.defineRule_)("implicit","mathspeak.default","[m] children/*","self::infixop",'@role="implicit"');
-(0,sre.MathspeakRules.defineRuleAlias_)("implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"');(0,sre.MathspeakRules.defineRule_)("subtraction","mathspeak.default",'[m] children/* (separator:"minus");',"self::infixop",'@role="subtraction"');(0,sre.MathspeakRules.defineRule_)("function-unknown","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::appl");(0,sre.MathspeakRules.defineRule_)("function-prefix","mathspeak.default","[n] children/*[1]; [n] children/*[2]",
-"self::appl",'children/*[1][@role="prefix function"]');(0,sre.MathspeakRules.defineRule_)("fences-open-close","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced",'@role="leftright"');(0,sre.MathspeakRules.defineRule_)("fences-neutral","mathspeak.default",'[t] "StartAbsoluteValue"; [n] children/*[1]; [t] "EndAbsoluteValue"',"self::fenced",'@role="neutral"','content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"');(0,sre.MathspeakRules.defineSpecialisedRule_)("fences-neutral",
-"mathspeak.default","mathspeak.sbrief",'[t] "AbsoluteValue"; [n] children/*[1]; [t] "EndAbsoluteValue"');(0,sre.MathspeakRules.defineRule_)("fences-neutral","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced",'@role="neutral"');(0,sre.MathspeakRules.defineRule_)("fences-set","mathspeak.default",'[t] "StartSet"; [n] children/*[1]; [t] "EndSet"',"self::fenced",'@role="leftright"','content/*[1][text()]="{"','content/*[2][text()]="}"',"count(children/*)=1",'not(name(../..)="appl")');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("fences-set","mathspeak.default","mathspeak.sbrief",'[t] "Set"; [n] children/*[1]; [t] "EndSet"');(0,sre.MathspeakRules.defineRule_)("text","mathspeak.default","[n] text()","self::text");(0,sre.MathspeakRules.defineRule_)("factorial","mathspeak.default",'[t] "factorial"',"self::punctuation",'text()="!"','name(preceding-sibling::*[1])!="text"');(0,sre.MathspeakRules.defineRule_)("minus","mathspeak.default",'[t] "minus"',"self::operator",'text()="-"');(0,sre.MathspeakRules.defineRule_)("single-prime",
-"mathspeak.default",'[t] "prime"',"self::punctuated",'@role="prime"',"count(children/*)=1");(0,sre.MathspeakRules.defineRule_)("double-prime","mathspeak.default",'[t] "double-prime"',"self::punctuated",'@role="prime"',"count(children/*)=2");(0,sre.MathspeakRules.defineRule_)("triple-prime","mathspeak.default",'[t] "triple-prime"',"self::punctuated",'@role="prime"',"count(children/*)=3");(0,sre.MathspeakRules.defineRule_)("quadruple-prime","mathspeak.default",'[t] "quadruple-prime"',"self::punctuated",
-'@role="prime"',"count(children/*)=4");(0,sre.MathspeakRules.defineRule_)("counted-prime","mathspeak.default",'[t] count(children/*); [t] "prime"',"self::punctuated",'@role="prime"');(0,sre.MathspeakRules.defineRule_)("fraction","mathspeak.default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction");(0,sre.MathspeakRules.defineRule_)("fraction","mathspeak.brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief",
-"self::fraction");(0,sre.MathspeakRules.defineRule_)("fraction","mathspeak.sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief","self::fraction");(0,sre.MathspeakRules.defineRule_)("vulgar-fraction","mathspeak.default","[t] CSFvulgarFraction","self::fraction",'@role="vulgar"',"CQFvulgarFractionSmall");(0,sre.MathspeakRules.defineSpecialisedRule_)("vulgar-fraction","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("vulgar-fraction",
-"mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("continued-fraction-outer","mathspeak.default",'[t] "ContinuedFraction"; [n] children/*[1];[t] "Over"; [n] children/*[2]',"self::fraction","not(ancestor::fraction)",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-outer","mathspeak.default","mathspeak.brief",'[t] "ContinuedFrac"; [n] children/*[1];[t] "Over"; [n] children/*[2]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-outer","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("continued-fraction-inner","mathspeak.default",'[t] "StartFraction"; [n] children/*[1];[t] "Over"; [n] children/*[2]',"self::fraction","ancestor::fraction",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.default","mathspeak.brief",'[t] "StartFrac"; [n] children/*[1];[t] "Over"; [n] children/*[2]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.brief","mathspeak.sbrief",'[t] "Frac"; [n] children/*[1];[t] "Over"; [n] children/*[2]');(0,sre.MathspeakRules.defineRule_)("sqrt","mathspeak.default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt");(0,sre.MathspeakRules.defineRule_)("sqrt","mathspeak.brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakRules.defineRule_)("sqrt",
-"mathspeak.sbrief","[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakRules.defineRule_)("root","mathspeak.default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root");(0,sre.MathspeakRules.defineRule_)("root","mathspeak.brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");(0,sre.MathspeakRules.defineRule_)("root",
-"mathspeak.sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");(0,sre.MathspeakRules.defineRule_)("limboth","mathspeak.default","[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]","self::limboth",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRule_)("limlower","mathspeak.default",
-"[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];","self::limlower",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRule_)("limupper","mathspeak.default","[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];","self::limupper",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRuleAlias_)("limlower",
-"self::underscore",'@role="limit function"','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRuleAlias_)("limlower","self::underscore",'children/*[2][@role!="underaccent"]','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRuleAlias_)("limupper","self::overscore",'children/*[2][@role!="overaccent"]',
-'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakRules.defineRule_)("limboth-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "Endscripts"',"self::limboth");(0,sre.MathspeakRules.defineRule_)("limlower-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "Endscripts"',"self::limlower");(0,sre.MathspeakRules.defineRule_)("limupper-end",
-"mathspeak.default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "Endscripts"',"self::limupper");(0,sre.MathspeakRules.defineRuleAlias_)("limlower-end","self::underscore",'@role="limit function"');(0,sre.MathspeakRules.defineRuleAlias_)("limlower-end","self::underscore");(0,sre.MathspeakRules.defineRuleAlias_)("limupper-end","self::overscore");(0,sre.MathspeakRules.defineRule_)("integral","mathspeak.default","[n] children/*[1]; [n] children/*[2]; [n] children/*[3];","self::integral");
-(0,sre.MathspeakRules.defineRule_)("integral","mathspeak.default",'[n] children/*[1]; [t] "Subscript"; [n] children/*[2];[t] "Superscript"; [n] children/*[3]; [t] "Baseline";',"self::limboth",'@role="integral"');(0,sre.MathspeakRules.defineSpecialisedRule_)("integral","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "Sub"; [n] children/*[2];[t] "Sup"; [n] children/*[3]; [t] "Base";');(0,sre.MathspeakRules.defineSpecialisedRule_)("integral","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("bigop",
-"mathspeak.default","[n] children/*[1]; [n] children/*[2];","self::bigop");(0,sre.MathspeakRules.defineRule_)("relseq","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.MathspeakRules.defineRule_)("equality","mathspeak.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::relseq",'@role="equality"',"count(./children/*)=2");(0,sre.MathspeakRules.defineRule_)("multi-equality","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)",
-"self::relseq",'@role="equality"',"count(./children/*)>2");(0,sre.MathspeakRules.defineRule_)("multrel","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel");(0,sre.MathspeakRules.defineRule_)("subscript","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript");(0,sre.MathspeakRules.defineRule_)("subscript","mathspeak.brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("subscript-simple","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::subscript",'name(./children/*[1])="identifier"','name(./children/*[2])="number"','./children/*[2][@role!="mixed"]','./children/*[2][@role!="othernumber"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-simple","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-simple","mathspeak.default",
-"mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("subscript-baseline","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose","self::subscript","following-sibling::*",'not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup"','not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBrief");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction",'not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])');
-(0,sre.MathspeakRules.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakRules.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","@embellished");(0,sre.MathspeakRules.defineRule_)("subscript-empty-sup","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::subscript",'name(children/*[2])="infixop"','name(children/*[2][@role="implicit"]/children/*[1])="superscript"',
-'name(children/*[2]/children/*[1]/children/*[1])="empty"');(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-empty-sup","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("subscript-empty-sup","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"');(0,sre.MathspeakRules.defineRule_)("superscript","mathspeak.default",
-"[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript");(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]");(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("superscript-baseline","mathspeak.default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose",
-"self::superscript","following-sibling::*",'not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])');(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBrief");
-(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::punctuated",'ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])');(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt");
-(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakRules.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","@embellished",'not(children/*[2][@role="prime"])');(0,sre.MathspeakRules.defineRule_)("superscript-empty-sub","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::superscript",
-'name(children/*[2])="infixop"','name(children/*[2][@role="implicit"]/children/*[1])="subscript"','name(children/*[2]/children/*[1]/children/*[1])="empty"');(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-empty-sub","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("superscript-empty-sub","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"');
-(0,sre.MathspeakRules.defineRule_)("square","mathspeak.default",'[n] children/*[1]; [t] "squared"',"self::superscript","children/*[2]","children/*[2][text()=2]",'name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree"))','name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"])',
-"not(@embellished)");(0,sre.MathspeakRules.defineSpecialisedRule_)("square","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("square","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("cube","mathspeak.default",'[n] children/*[1]; [t] "cubed"',"self::superscript","children/*[2]","children/*[2][text()=3]",'name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree"))',
-'name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"])',"not(@embellished)");(0,sre.MathspeakRules.defineSpecialisedRule_)("cube","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("cube","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("prime",
-"mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::superscript","children/*[2]",'children/*[2][@role="prime"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("prime","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("prime-subscript","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]","self::superscript",
-'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"not(following-sibling::*)");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript","mathspeak.default","mathspeak.brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("prime-subscript-baseline","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose",
-"self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"following-sibling::*");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBrief");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("prime-subscript-baseline",
-"self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"not(following-sibling::*)","@embellished");(0,sre.MathspeakRules.defineRule_)("prime-subscript-simple","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2];[n] children/*[1]/children/*[2]","self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"','name(children/*[1]/children/*[1])="identifier"','name(children/*[1]/children/*[2])="number"','children/*[1]/children/*[2][@role!="mixed"]',
-'children/*[1]/children/*[2][@role!="othernumber"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-simple","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("prime-subscript-simple","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("overscore","mathspeak.default",'[t] "ModifyingAbove"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::overscore",'children/*[2][@role="overaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("overscore",
-"mathspeak.default","mathspeak.brief",'[t] "ModAbove"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("overscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("double-overscore","mathspeak.default",'[t] "ModifyingAbove Above"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::overscore",'children/*[2][@role="overaccent"]','name(children/*[1])="overscore"','children/*[1]/children/*[2][@role="overaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-overscore",
-"mathspeak.default","mathspeak.brief",'[t] "ModAbove Above"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-overscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("underscore","mathspeak.default",'[t] "ModifyingBelow"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::underscore",'children/*[2][@role="underaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("underscore","mathspeak.default","mathspeak.brief",
-'[t] "ModBelow"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("underscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("double-underscore","mathspeak.default",'[t] "ModifyingBelow Below"; [n] children/*[1]; [t] "With"; [n] children/*[2]',"self::underscore",'children/*[2][@role="underaccent"]','name(children/*[1])="underscore"','children/*[1]/children/*[2][@role="underaccent"]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-underscore",
-"mathspeak.default","mathspeak.brief",'[t] "ModBelow Below"; [n] children/*[1]; [t] "With"; [n] children/*[2]');(0,sre.MathspeakRules.defineSpecialisedRule_)("double-underscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("overbar","mathspeak.default",'[n] children/*[1]; [t] "overbar"',"self::overscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="overaccent"]','children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("overbar","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "overBar"');(0,sre.MathspeakRules.defineSpecialisedRule_)("overbar","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("underbar","mathspeak.default",'[n] children/*[1]; [t] "underbar"',"self::underscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="underaccent"]','children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("underbar","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "underBar"');(0,sre.MathspeakRules.defineSpecialisedRule_)("underbar","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("overtilde","mathspeak.default",'[n] children/*[1]; [t] "overTilde"',"self::overscore",'children/*[2][@role="overaccent"]','@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("overtilde","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "overtilde"');(0,sre.MathspeakRules.defineSpecialisedRule_)("overtilde","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("undertilde","mathspeak.default",'[n] children/*[1]; [t] "underTilde"',"self::underscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="underaccent"]','children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("undertilde","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "undertilde"');(0,sre.MathspeakRules.defineSpecialisedRule_)("undertilde","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("matrix-fence","mathspeak.default","[n] children/*[1];","self::fenced","count(children/*)=1",'name(children/*[1])="matrix"');(0,sre.MathspeakRules.defineRule_)("matrix","mathspeak.default",'[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Matrix"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndMatrix"',
-"self::matrix");(0,sre.MathspeakRules.defineRule_)("matrix","mathspeak.sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Matrix"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndMatrix"',"self::matrix");(0,sre.MathspeakRules.defineRuleAlias_)("matrix","self::vector");(0,sre.MathspeakRules.defineRule_)("matrix-row","mathspeak.default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column");[p] (pause: 200)',"self::row");(0,sre.MathspeakRules.defineRule_)("row-with-label",
-"mathspeak.default",'[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column")',"self::row","content");(0,sre.MathspeakRules.defineRule_)("row-with-label","mathspeak.brief",'[t] "Label"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column")',"self::row","content");(0,sre.MathspeakRules.defineSpecialisedRule_)("row-with-label","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("row-with-text-label",
-"mathspeak.sbrief",'[t] "Label"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column")',"self::row","content",'name(content/cell/children/*[1])="text"');(0,sre.MathspeakRules.defineRule_)("empty-row","mathspeak.default",'[t] "Blank"',"self::row","count(children/*)=0");(0,sre.MathspeakRules.defineRule_)("matrix-cell","mathspeak.default","[n] children/*[1]; [p] (pause: 300)","self::cell");(0,sre.MathspeakRules.defineRule_)("empty-cell","mathspeak.default",'[t] "Blank"; [p] (pause: 300)',
-"self::cell","count(children/*)=0");(0,sre.MathspeakRules.defineRule_)("determinant","mathspeak.default",'[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndDeterminant"',"self::matrix",'@role="determinant"');(0,sre.MathspeakRules.defineSpecialisedRule_)("determinant","mathspeak.default","mathspeak.sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndDeterminant"');
-(0,sre.MathspeakRules.defineRule_)("determinant-simple","mathspeak.default",'[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row",grammar:simpleDet); [t] "EndDeterminant"',"self::matrix",'@role="determinant"',"CQFdetIsSimple");(0,sre.MathspeakRules.defineSpecialisedRule_)("determinant-simple","mathspeak.default","mathspeak.sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row",grammar:simpleDet); [t] "EndDeterminant"');
-(0,sre.MathspeakRules.defineRule_)("row-simple","mathspeak.default","[m] children/*;","self::row",'@role="determinant"','contains(@grammar, "simpleDet")');(0,sre.MathspeakRules.defineRule_)("layout","mathspeak.default",'[t] "StartLayout"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::table");(0,sre.MathspeakRules.defineRule_)("layout","mathspeak.sbrief",'[t] "Layout"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::table");
-(0,sre.MathspeakRules.defineRule_)("binomial","mathspeak.default",'[t] "StartBinomialOrMatrix"; [n] children/*[1]/children/*[1]; [t] "Choose"; [n] children/*[2]/children/*[1];  [t] "EndBinomialOrMatrix"',"self::vector",'@role="binomial"');(0,sre.MathspeakRules.defineRule_)("binomial","mathspeak.sbrief",'[t] "BinomialOrMatrix"; [n] children/*[1]/children/*[1]; [t] "Choose"; [n] children/*[2]/children/*[1];  [t] "EndBinomialOrMatrix"',"self::vector",'@role="binomial"');(0,sre.MathspeakRules.defineRule_)("cases",
-"mathspeak.default",'[t] "StartLayout"; [t] "Enlarged"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::cases");(0,sre.MathspeakRules.defineRule_)("cases","mathspeak.sbrief",'[t] "Layout"; [t] "Enlarged"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::cases");(0,sre.MathspeakRules.defineRuleAlias_)("layout","self::multiline");(0,sre.MathspeakRules.defineRule_)("line","mathspeak.default","[m] children/*",
-"self::line");(0,sre.MathspeakRules.defineRule_)("line-with-label","mathspeak.default",'[t] "with Label"; [n] content/*[1]; [t] "EndLabel" (pause: 200); [m] children/*',"self::line","content");(0,sre.MathspeakRules.defineSpecialisedRule_)("line-with-label","mathspeak.default","mathspeak.brief",'[t] "Label"; [n] content/*[1] (pause: 200); [m] children/*');(0,sre.MathspeakRules.defineSpecialisedRule_)("line-with-label","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("line-with-text-label",
-"mathspeak.sbrief",'[t] "Label"; [t] CSFRemoveParens; [m] children/*',"self::line","content",'name(content/cell/children/*[1])="text"');(0,sre.MathspeakRules.defineRule_)("empty-line","mathspeak.default",'[t] "Blank"',"self::line","count(children/*)=0","not(content)");(0,sre.MathspeakRules.defineSpecialisedRule_)("empty-line","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("empty-line","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("empty-line-with-label",
-"mathspeak.default",'[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [t] "Blank"',"self::line","count(children/*)=0","content");(0,sre.MathspeakRules.defineSpecialisedRule_)("empty-line-with-label","mathspeak.default","mathspeak.brief",'[t] "Label"; [n] content/*[1] (pause: 200); [t] "Blank"');(0,sre.MathspeakRules.defineSpecialisedRule_)("empty-line-with-label","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakRules.defineRule_)("enclose","mathspeak.default",'[t] "StartEnclose"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "EndEnclose"',
-"self::enclose");(0,sre.MathspeakRules.defineRuleAlias_)("overbar","self::enclose",'@role="top"');(0,sre.MathspeakRules.defineRuleAlias_)("underbar","self::enclose",'@role="bottom"');(0,sre.MathspeakRules.defineRule_)("leftbar","mathspeak.default",'[t] "vertical-bar"; [n] children/*[1]',"self::enclose",'@role="left"');(0,sre.MathspeakRules.defineRule_)("rightbar","mathspeak.default",'[n] children/*[1]; [t] "vertical-bar"',"self::enclose",'@role="right"');(0,sre.MathspeakRules.defineRule_)("crossout",
-"mathspeak.default",'[t] "CrossOut"; [n] children/*[1]; [t] "EndCrossOut"',"self::enclose",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakRules.defineRule_)("cancel","mathspeak.default",'[t] "CrossOut"; [n] children/*[1]/children/*[1]; [t] "With"; [n] children/*[2]; [t] "EndCrossOut"',"self::overscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel","mathspeak.default",
-"mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakRules.defineRule_)("cancel-reverse","mathspeak.default",'[t] "CrossOut"; [n] children/*[2]/children/*[1]; [t] "With"; [n] children/*[1]; [t] "EndCrossOut"',"self::overscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');
-(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.brief");(0,sre.MathspeakRules.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakRules.defineRuleAlias_)("cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');(0,sre.MathspeakRules.defineRule_)("end-punct","mathspeak.default","[m] children/*","self::punctuated",
-'@role="endpunct"');(0,sre.MathspeakRules.defineRule_)("start-punct","mathspeak.default","[n] content/*[1]; [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.MathspeakRules.defineRule_)("integral-punct","mathspeak.default","[n] children/*[1]; [n] children/*[3]","self::punctuated",'@role="integral"');(0,sre.MathspeakRules.defineRule_)("punctuated","mathspeak.default","[m] children/*","self::punctuated");(0,sre.MathspeakRules.defineRule_)("unit","mathspeak.default",'[t] text() (grammar:annotation="unit":translate)',
-"self::identifier",'@role="unit"');(0,sre.MathspeakRules.defineRule_)("unit-square","mathspeak.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.MathspeakRules.defineRule_)("unit-cubic","mathspeak.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.MathspeakRules.defineRule_)("reciprocal","mathspeak.default",
-'[t] "reciprocal"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');(0,sre.MathspeakRules.defineRule_)("reciprocal","mathspeak.default",'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',
-"children/*[2]/children/*[1][text()=1]",'preceding-sibling::*[@role="unit"]');(0,sre.MathspeakRules.defineRule_)("unit-combine","mathspeak.default","[m] children/*","self::infixop",'@role="unit"');(0,sre.MathspeakRules.defineRule_)("unit-divide","mathspeak.default",'[n] children/*[1]; [t] "per"; [n] children/*[2]',"self::fraction",'@role="unit"')};sre.MathspeakRules.componentString_={2:"CSFbaseline",1:"CSFsubscript",0:"CSFsuperscript"};sre.MathspeakRules.childNumber_={4:2,3:3,2:1,1:4,0:5};
-sre.MathspeakRules.generateTensorRuleStrings_=function(a){var b=[],c="",d="";a=parseInt(a,2);for(var e=0;5>e;e++){var f="children/*["+sre.MathspeakRules.childNumber_[e]+"]";if(a&1){var g=sre.MathspeakRules.componentString_[e%3];c="[t] "+g+"Verbose; [n] "+f+";"+c;d="[t] "+g+"Brief; [n] "+f+";"+d}else b.unshift("name("+f+')="empty"');a>>=1}b.push(c);b.push(d);return b};
-sre.MathspeakRules.generateMathspeakTensorRules_=function(){for(var a="11111 11110 11101 11100 10111 10110 10101 10100 01111 01110 01101 01100".split(" "),b=0,c;c=a[b];b++){var d="tensor"+c;c=sre.MathspeakRules.generateTensorRuleStrings_(c);var e=c.pop(),f=c.pop(),g=[d,"mathspeak.default",f,"self::tensor"].concat(c),h=[d,"mathspeak.brief",e,"self::tensor"].concat(c);sre.MathspeakRules.defineRule_.apply(null,g);sre.MathspeakRules.defineRule_.apply(null,h);(0,sre.MathspeakRules.defineSpecialisedRule_)(d,
-"mathspeak.brief","mathspeak.sbrief");g=sre.MathspeakRules.componentString_[2];f+="; [t]"+g+"Verbose";e+="; [t]"+g+"Brief";d+="-baseline";g=[d,"mathspeak.default",f,"self::tensor","following-sibling::*"].concat(c);h=[d,"mathspeak.brief",e,"self::tensor","following-sibling::*"].concat(c);sre.MathspeakRules.defineRule_.apply(null,g);sre.MathspeakRules.defineRule_.apply(null,h);(0,sre.MathspeakRules.defineSpecialisedRule_)(d,"mathspeak.brief","mathspeak.sbrief");d=[d,"self::tensor","not(following-sibling::*)",
-"ancestor::fraction|ancestor::punctuated|ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::relseq|ancestor::multirel|@embellished"].concat(c);sre.MathspeakRules.defineRuleAlias_.apply(null,d)}};sre.MathspeakRules.getInstance().initializer=[sre.MathspeakRules.initCustomFunctions_,sre.MathspeakRules.initMathspeakRules_,sre.MathspeakRules.generateMathspeakTensorRules_];sre.MathspeakSpanishUtil={};sre.MathspeakSpanishUtil.europeanNumber=function(a){return a=a.replace(/,/g,"").replace(/\./g,",")};sre.Grammar.getInstance().setCorrection("euroNum",sre.MathspeakSpanishUtil.europeanNumber);sre.MathspeakSpanishUtil.onesOrdinals="primera segunda tercera cuarta quinta sexta s\u00e9ptima octava novena d\u00e9cima und\u00e9cima duod\u00e9cima".split(" ");sre.MathspeakSpanishUtil.tensOrdinals="d\u00e9cima vig\u00e9sima trig\u00e9sima cuadrag\u00e9sima quincuag\u00e9sima sexag\u00e9sima septuag\u00e9sima octog\u00e9sima nonag\u00e9sima".split(" ");
-sre.MathspeakSpanishUtil.hundredsOrdinals="cent\u00e9sima ducent\u00e9sima tricent\u00e9sima cuadringent\u00e9sima quingent\u00e9sima sexcent\u00e9sima septingent\u00e9sima octingent\u00e9sima noningent\u00e9sima".split(" ");
-sre.MathspeakSpanishUtil.numberToOrdinal=function(a){if(1999<a)return a.toString()+"a";if(12>=a)return sre.MathspeakSpanishUtil.onesOrdinals[a-1];var b=[];1E3<a&&(a-=1E3,b.push("mil\u00e9sima"));var c=Math.floor(a/100);0<c&&(b.push(sre.MathspeakSpanishUtil.hundredsOrdinals[c-1]),a%=100);12>=a?b.push(sre.MathspeakSpanishUtil.onesOrdinals[a-1]):(c=Math.floor(a/10),0<c&&(b.push(sre.MathspeakSpanishUtil.tensOrdinals[c-1]),a%=10),0<a&&b.push(sre.MathspeakSpanishUtil.onesOrdinals[a-1]));return b.join(" ")};
-sre.MathspeakSpanishUtil.ordinalCounter=function(a,b){var c=0;return function(){return sre.MathspeakSpanishUtil.numberToOrdinal(++c)+" "+b}};sre.MathspeakSpanishUtil.smallRoot=function(a){if(!a.childNodes||0===a.childNodes.length||!a.childNodes[0].childNodes)return[];var b=a.childNodes[0].childNodes[0].textContent;if(!/^\d+$/.test(b))return[];b=parseInt(b,10);return 1<b&&10>=b?[a]:[]};
-sre.MathspeakSpanishUtil.unitMultipliers=function(a,b){var c=0;return function(){var b=sre.AuditoryDescription.create({text:sre.MathspeakSpanishUtil.rightMostUnit(a[c])&&sre.MathspeakSpanishUtil.leftMostUnit(a[c+1])?"por":""},{});c++;return[b]}};sre.MathspeakSpanishUtil.SCRIPT_ELEMENTS=[sre.SemanticAttr.Type.SUPERSCRIPT,sre.SemanticAttr.Type.SUBSCRIPT,sre.SemanticAttr.Type.OVERSCORE,sre.SemanticAttr.Type.UNDERSCORE];
-sre.MathspeakSpanishUtil.rightMostUnit=function(a){for(;a;){if("unit"===a.getAttribute("role"))return!0;var b=a.tagName;a=sre.XpathUtil.evalXPath("children/*",a);a=-1!==sre.MathspeakSpanishUtil.SCRIPT_ELEMENTS.indexOf(b)?a[0]:a[a.length-1]}return!1};sre.MathspeakSpanishUtil.leftMostUnit=function(a){for(;a;){if("unit"===a.getAttribute("role"))return!0;a=sre.XpathUtil.evalXPath("children/*",a)[0]}return!1};sre.MathspeakSpanishUtil.makePlural=function(a){return/.*s$/.test(a)?a:a+"s"};
-sre.Grammar.getInstance().setCorrection("plural",sre.MathspeakSpanishUtil.makePlural);sre.MathspeakSpanishUtil.oneLeft=function(a){for(;a;){if("number"===a.tagName&&"1"===a.textContent)return[a];if("infixop"!==a.tagName||"multiplication"!==a.getAttribute("role")&&"implicit"!==a.getAttribute("role"))break;a=sre.XpathUtil.evalXPath("children/*",a)[0]}return[]};sre.MathspeakSpanish=function(){sre.MathStore.call(this);this.locale="es"};goog.inherits(sre.MathspeakSpanish,sre.MathStore);goog.addSingletonGetter(sre.MathspeakSpanish);sre.MathspeakSpanish.prototype.evaluateDefault=function(a){return[sre.AuditoryDescription.create({text:a.textContent})]};sre.MathspeakSpanish.SPANISH_REGEXP="a-zA-Z\u00e1\u00e9\u00ed\u00f3\u00fa\u00f1\u00c1\u00c9\u00cd\u00d3\u00da\u00d1";
-sre.MathspeakSpanish.evaluateDefault=function(a){a=a.textContent;for(var b=[],c=new sre.SystemExternal.xmldom.DOMParser,d=new RegExp("^["+sre.MathspeakSpanish.SPANISH_REGEXP+"]+"),e=new RegExp("^[^"+sre.MathspeakSpanish.SPANISH_REGEXP+"]+");a;){var f=d.exec(a);if(f)var g=sre.Semantic.Type.TEXT,h=sre.Semantic.Role.PROTECTED;else f=e.exec(a),g=sre.Semantic.Type.UNKNOWN,h=sre.Semantic.Role.TEXT;g=c.parseFromString("<"+g+' role="'+h+'">'+f[0]+"</"+g+">","text/xml");b.push(g.documentElement);a=a.slice(f[0].length).trimLeft()}return b};
-sre.MathspeakSpanish.mathStore=sre.MathspeakSpanish.getInstance();sre.MathspeakSpanish.defineRule_=goog.bind(sre.MathspeakSpanish.mathStore.defineRule,sre.MathspeakSpanish.mathStore);sre.MathspeakSpanish.defineRuleAlias_=goog.bind(sre.MathspeakSpanish.mathStore.defineRulesAlias,sre.MathspeakSpanish.mathStore);sre.MathspeakSpanish.defineSpecialisedRule_=goog.bind(sre.MathspeakSpanish.mathStore.defineSpecialisedRule,sre.MathspeakSpanish.mathStore);
-sre.MathspeakSpanish.addContextFunction_=goog.bind(sre.MathspeakSpanish.mathStore.contextFunctions.add,sre.MathspeakSpanish.mathStore.contextFunctions);sre.MathspeakSpanish.addCustomQuery_=goog.bind(sre.MathspeakSpanish.mathStore.customQueries.add,sre.MathspeakSpanish.mathStore.customQueries);sre.MathspeakSpanish.addCustomString_=goog.bind(sre.MathspeakSpanish.mathStore.customStrings.add,sre.MathspeakSpanish.mathStore.customStrings);
-sre.MathspeakSpanish.initCustomFunctions_=function(){(0,sre.MathspeakSpanish.addCustomQuery_)("CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier);(0,sre.MathspeakSpanish.addCustomString_)("CSFspaceoutText",sre.MathspeakUtil.spaceoutText);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseFracVerbose",
-sre.MathspeakUtil.closingFractionVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseFracSbrief",
-sre.MathspeakUtil.closingFractionSbrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseRadicalVerbose",sre.MathspeakUtil.closingRadicalVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenRadicalBrief",
-sre.MathspeakUtil.openingRadicalBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFisSmallRoot",
-sre.MathspeakSpanishUtil.smallRoot);(0,sre.MathspeakSpanish.addCustomString_)("CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose);(0,sre.MathspeakSpanish.addCustomString_)("CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFbaselineVerbose",sre.MathspeakUtil.baselineVerbose);
-(0,sre.MathspeakSpanish.addCustomString_)("CSFbaselineBrief",sre.MathspeakUtil.baselineBrief);(0,sre.MathspeakSpanish.addCustomString_)("CSFunderscript",sre.MathspeakUtil.nestedUnderscore);(0,sre.MathspeakSpanish.addCustomString_)("CSFoverscript",sre.MathspeakUtil.nestedOverscore);(0,sre.MathspeakSpanish.addContextFunction_)("CTXFordinalCounterEs",sre.MathspeakSpanishUtil.ordinalCounter);(0,sre.MathspeakSpanish.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator);(0,sre.MathspeakSpanish.addContextFunction_)("CTXFunitMultipliers",
-sre.MathspeakSpanishUtil.unitMultipliers);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple);(0,sre.MathspeakSpanish.addCustomString_)("CSFRemoveParens",sre.MathspeakUtil.removeParens);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFoneLeft",sre.MathspeakSpanishUtil.oneLeft);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFresetNesting",sre.MathspeakUtil.resetNestingDepth);(0,sre.MathspeakSpanish.addCustomQuery_)("CQFtextEvaluator",sre.MathspeakSpanish.evaluateDefault)};
-sre.MathspeakSpanish.initMathspeakSpanish_=function(){(0,sre.MathspeakSpanish.defineRule_)("stree","mathspeak.default","[n] ./*[1]","self::stree","CQFresetNesting");(0,sre.MathspeakSpanish.defineRule_)("unknown","mathspeak.default","[n] text()","self::unknown");(0,sre.MathspeakSpanish.defineRule_)("protected","mathspeak.default","[t] text()","self::*",'@role="protected"');(0,sre.MathspeakSpanish.defineRule_)("omit-empty","mathspeak.default","[p] (pause:100)","self::empty");(0,sre.MathspeakSpanish.defineRule_)("blank-empty",
-"mathspeak.default",'[t] "espacio"',"self::empty","count(../*)=1",'name(../..)="cell" or name(../..)="line"');(0,sre.MathspeakSpanish.defineRule_)("font","mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"');(0,sre.MathspeakSpanish.defineRule_)("font-identifier-short","mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1",
-"@font",'not(contains(@grammar, "ignoreFont"))','@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")','@role!="unit"');(0,sre.MathspeakSpanish.defineRule_)("font-identifier",
-"mathspeak.default","[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.MathspeakSpanish.defineRule_)("omit-font","mathspeak.default","[n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.MathspeakSpanish.defineRule_)("number","mathspeak.default","[n] text() (grammar:euroNum)",
-"self::number");(0,sre.MathspeakSpanish.defineRule_)("mixed-number","mathspeak.default",'[n] children/*[1]; [t] "m\u00e1s"; [n] children/*[2]; ',"self::number",'@role="mixed"');(0,sre.MathspeakSpanish.defineRule_)("number-with-chars","mathspeak.default",'[t] "n\u00famero"; [m] CQFspaceoutNumber',"self::number",'"" != translate(text(), "0123456789.,", "")','text() != translate(text(), "0123456789.,", "")');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-with-chars","mathspeak.default","mathspeak.brief",
-'[t] "n\u00fam"; [m] CQFspaceoutNumber');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-with-chars","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("number-as-upper-word","mathspeak.default",'[t] "may\u00fascula"; [t] CSFspaceoutText',"self::number","string-length(text())>1",'text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9")',
-'""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")');(0,sre.MathspeakSpanish.defineRule_)("number-baseline","mathspeak.default",'[t] "l\u00ednea base"; [n] text()',"self::number",'not(contains(@grammar, "ignoreFont"))',"preceding-sibling::identifier",'preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');
-(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-baseline","mathspeak.default","mathspeak.brief",'[t] "base"; [n] text()');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("number-baseline-font","mathspeak.default",'[t] "l\u00ednea base"; [t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)',"self::number","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"',"preceding-sibling::identifier",
-'preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]','parent::*/parent::infixop[@role="implicit"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-baseline-font","mathspeak.default","mathspeak.brief",'[t] "base"; [n] text()');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("number-baseline-font","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("identifier","mathspeak.default","[m] CQFspaceoutIdentifier","self::identifier","string-length(text())>1",
-'@role!="unit"','@role!="protected"','not(@font) or @font="normal" or contains(@grammar, "ignoreFont")');(0,sre.MathspeakSpanish.defineRule_)("identifier","mathspeak.default","[n] text()","self::identifier",'@role="protected"');(0,sre.MathspeakSpanish.defineRule_)("negative","mathspeak.default",'[t] "menos"; [n] children/*[1]',"self::prefixop",'@role="negative"',"children/identifier");(0,sre.MathspeakSpanish.defineRuleAlias_)("negative","self::prefixop",'@role="negative"',"children/number");(0,sre.MathspeakSpanish.defineRuleAlias_)("negative",
-"self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]');(0,sre.MathspeakSpanish.defineRule_)("negative","mathspeak.default",'[t] "menos"; [n] children/*[1]',"self::prefixop",'@role="negative"');(0,sre.MathspeakSpanish.defineRule_)("prefix","mathspeak.default","[n] text(); [n] children/*[1]","self::prefixop");(0,sre.MathspeakSpanish.defineRule_)("postfix","mathspeak.default","[n] children/*[1]; [n] text()","self::postfixop");(0,sre.MathspeakSpanish.defineRule_)("binary-operation",
-"mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop");(0,sre.MathspeakSpanish.defineRule_)("implicit","mathspeak.default","[m] children/*","self::infixop",'@role="implicit"');(0,sre.MathspeakSpanish.defineRuleAlias_)("implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"');(0,sre.MathspeakSpanish.defineRule_)("subtraction","mathspeak.default",'[m] children/* (separator:"menos");',"self::infixop",'@role="subtraction"');
-(0,sre.MathspeakSpanish.defineRule_)("function-unknown","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::appl");(0,sre.MathspeakSpanish.defineRule_)("function-prefix","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::appl",'children/*[1][@role="prefix function"]');(0,sre.MathspeakSpanish.defineRule_)("fences-open-close","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced",'@role="leftright"');(0,sre.MathspeakSpanish.defineRule_)("fences-neutral",
-"mathspeak.default",'[t] "empezar valor absoluto"; [n] children/*[1]; [t] "finalizar valor absoluto"',"self::fenced",'@role="neutral"','content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("fences-neutral","mathspeak.default","mathspeak.sbrief",'[t] "valor absoluto"; [n] children/*[1]; [t] "finalizar valor absoluto"');(0,sre.MathspeakSpanish.defineRule_)("fences-neutral","mathspeak.default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]",
-"self::fenced",'@role="neutral"');(0,sre.MathspeakSpanish.defineRule_)("fences-set","mathspeak.default",'[t] "empezar llave"; [n] children/*[1]; [t] "finalizar llave"',"self::fenced",'@role="leftright"','content/*[1][text()]="{"','content/*[2][text()]="}"',"count(children/*)=1",'not(name(../..)="appl")');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("fences-set","mathspeak.default","mathspeak.sbrief",'[t] "llave"; [n] children/*[1]; [t] "finalizar llave"');(0,sre.MathspeakSpanish.defineRule_)("text",
-"mathspeak.default","[m] CQFtextEvaluator","self::text");(0,sre.MathspeakSpanish.defineRule_)("factorial","mathspeak.default",'[t] "factorial"',"self::punctuation",'text()="!"','name(preceding-sibling::*[1])!="text"');(0,sre.MathspeakSpanish.defineRule_)("minus","mathspeak.default",'[t] "menos"',"self::operator",'text()="-"');(0,sre.MathspeakSpanish.defineRule_)("single-prime","mathspeak.default",'[t] "prima"',"self::punctuated",'@role="prime"',"count(children/*)=1");(0,sre.MathspeakSpanish.defineRule_)("double-prime",
-"mathspeak.default",'[t] "doble prima"',"self::punctuated",'@role="prime"',"count(children/*)=2");(0,sre.MathspeakSpanish.defineRule_)("triple-prime","mathspeak.default",'[t] "triple prima"',"self::punctuated",'@role="prime"',"count(children/*)=3");(0,sre.MathspeakSpanish.defineRule_)("quadruple-prime","mathspeak.default",'[t] "cuadruplicar prima"',"self::punctuated",'@role="prime"',"count(children/*)=4");(0,sre.MathspeakSpanish.defineRule_)("counted-prime","mathspeak.default",'[t] count(children/*); [t] "prime"',
-"self::punctuated",'@role="prime"');(0,sre.MathspeakSpanish.defineRule_)("fraction","mathspeak.default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction");(0,sre.MathspeakSpanish.defineRule_)("fraction","mathspeak.brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief","self::fraction");(0,sre.MathspeakSpanish.defineRule_)("fraction","mathspeak.sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief",
-"self::fraction");(0,sre.MathspeakSpanish.defineRule_)("continued-fraction-outer","mathspeak.default",'[t] "fracci\u00f3n continua"; [n] children/*[1];[t] "entre"; [n] children/*[2]',"self::fraction","not(ancestor::fraction)",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("continued-fraction-outer","mathspeak.default","mathspeak.brief",'[t] "frac continua"; [n] children/*[1];[t] "entre"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("continued-fraction-outer",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("continued-fraction-inner","mathspeak.default",'[t] "empezar fracci\u00f3n"; [n] children/*[1];[t] "entre"; [n] children/*[2]',"self::fraction","ancestor::fraction",'children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.default","mathspeak.brief",'[t] "empezar frac"; [n] children/*[1];[t] "entre"; [n] children/*[2]');
-(0,sre.MathspeakSpanish.defineSpecialisedRule_)("continued-fraction-inner","mathspeak.brief","mathspeak.sbrief",'[t] "frac"; [n] children/*[1];[t] "entre"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineRule_)("sqrt","mathspeak.default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt");(0,sre.MathspeakSpanish.defineRule_)("sqrt","mathspeak.brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakSpanish.defineRule_)("sqrt",
-"mathspeak.sbrief","[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt");(0,sre.MathspeakSpanish.defineRule_)("root-small","mathspeak.default","[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root","CQFisSmallRoot");(0,sre.MathspeakSpanish.defineRule_)("root-small","mathspeak.brief","[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root","CQFisSmallRoot");(0,sre.MathspeakSpanish.defineRule_)("root-small",
-"mathspeak.sbrief","[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root","CQFisSmallRoot");(0,sre.MathspeakSpanish.defineRule_)("root","mathspeak.default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root");(0,sre.MathspeakSpanish.defineRule_)("root","mathspeak.brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");
-(0,sre.MathspeakSpanish.defineRule_)("root","mathspeak.sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root");(0,sre.MathspeakSpanish.defineRule_)("limboth","mathspeak.default","[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]","self::limboth",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRule_)("limlower",
-"mathspeak.default","[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];","self::limlower",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRule_)("limupper","mathspeak.default","[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];","self::limupper",'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRuleAlias_)("limlower",
-"self::underscore",'@role="limit function"','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRuleAlias_)("limlower","self::underscore",'children/*[2][@role!="underaccent"]','name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRuleAlias_)("limupper","self::overscore",'children/*[2][@role!="overaccent"]',
-'name(../..)="underscore" or name(../..)="overscore"','following-sibling::*[@role!="underaccent" and @role!="overaccent"]');(0,sre.MathspeakSpanish.defineRule_)("limboth-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "finalizar \u00edndices"',"self::limboth");(0,sre.MathspeakSpanish.defineRule_)("limlower-end","mathspeak.default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "finalizar \u00edndices"',"self::limlower");
-(0,sre.MathspeakSpanish.defineRule_)("limupper-end","mathspeak.default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "finalizar \u00edndices"',"self::limupper");(0,sre.MathspeakSpanish.defineRuleAlias_)("limlower-end","self::underscore",'@role="limit function"');(0,sre.MathspeakSpanish.defineRuleAlias_)("limlower-end","self::underscore");(0,sre.MathspeakSpanish.defineRuleAlias_)("limupper-end","self::overscore");(0,sre.MathspeakSpanish.defineRule_)("integral","mathspeak.default",
-"[n] children/*[1]; [n] children/*[2]; [n] children/*[3];","self::integral");(0,sre.MathspeakSpanish.defineRule_)("integral","mathspeak.default",'[n] children/*[1]; [t] "definida"; [t] "sub\u00edndice"; [n] children/*[2];[t] "super\u00edndice"; [n] children/*[3]; [t] "l\u00ednea base";',"self::limboth",'@role="integral"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("integral","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "Sub"; [n] children/*[2];[t] "Sup"; [n] children/*[3]; [t] "Base";');
-(0,sre.MathspeakSpanish.defineSpecialisedRule_)("integral","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("bigop","mathspeak.default","[n] children/*[1]; [n] children/*[2];","self::bigop");(0,sre.MathspeakSpanish.defineRule_)("relseq","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.MathspeakSpanish.defineRule_)("equality","mathspeak.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::relseq",'@role="equality"',
-"count(./children/*)=2");(0,sre.MathspeakSpanish.defineRule_)("multi-equality","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq",'@role="equality"',"count(./children/*)>2");(0,sre.MathspeakSpanish.defineRule_)("multrel","mathspeak.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel");(0,sre.MathspeakSpanish.defineRule_)("subscript","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript");(0,sre.MathspeakSpanish.defineRule_)("subscript",
-"mathspeak.brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("subscript-baseline","mathspeak.default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose","self::subscript","following-sibling::*",'not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup"',
-'not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("subscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBriefS");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("subscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)",
-"ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction",'not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])');(0,sre.MathspeakSpanish.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakSpanish.defineRuleAlias_)("subscript-baseline","self::subscript","not(following-sibling::*)",
-"@embellished");(0,sre.MathspeakSpanish.defineRule_)("subscript-empty-sup","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::subscript",'name(children/*[2])="infixop"','name(children/*[2][@role="implicit"]/children/*[1])="superscript"','name(children/*[2]/children/*[1]/children/*[1])="empty"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("subscript-empty-sup","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("subscript-empty-sup","mathspeak.brief",
-"mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"');(0,sre.MathspeakSpanish.defineRule_)("superscript","mathspeak.default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("superscript","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]");
-(0,sre.MathspeakSpanish.defineSpecialisedRule_)("superscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("superscript-baseline","mathspeak.default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose","self::superscript","following-sibling::*",'not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])');
-(0,sre.MathspeakSpanish.defineSpecialisedRule_)("superscript-baseline","mathspeak.default","mathspeak.brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBriefS");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("superscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::punctuated",'ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])');
-(0,sre.MathspeakSpanish.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt");(0,sre.MathspeakSpanish.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint());(0,sre.MathspeakSpanish.defineRuleAlias_)("superscript-baseline","self::superscript","not(following-sibling::*)",
-"@embellished",'not(children/*[2][@role="prime"])');(0,sre.MathspeakSpanish.defineRule_)("superscript-empty-sub","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::superscript",'name(children/*[2])="infixop"','name(children/*[2][@role="implicit"]/children/*[1])="subscript"','name(children/*[2]/children/*[1]/children/*[1])="empty"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("superscript-empty-sub","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("superscript-empty-sub",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"');(0,sre.MathspeakSpanish.defineRule_)("square","mathspeak.default",'[n] children/*[1]; [t] "al cuadrado"',"self::superscript","children/*[2]","children/*[2][text()=2]",'name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree"))',
-'name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"])',"not(@embellished)");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("square","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("square","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("cube",
-"mathspeak.default",'[n] children/*[1]; [t] "al cubo"',"self::superscript","children/*[2]","children/*[2][text()=3]",'name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree"))','name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"])',
-"not(@embellished)");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cube","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cube","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("prime","mathspeak.default","[n] children/*[1]; [n] children/*[2]","self::superscript","children/*[2]",'children/*[2][@role="prime"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("prime","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("prime",
-"mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("prime-subscript","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]","self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"not(following-sibling::*)");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("prime-subscript","mathspeak.default","mathspeak.brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]");
-(0,sre.MathspeakSpanish.defineSpecialisedRule_)("prime-subscript","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("prime-subscript-baseline","mathspeak.default","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose","self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"following-sibling::*");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("prime-subscript-baseline",
-"mathspeak.default","mathspeak.brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBriefS");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("prime-subscript-baseline","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("prime-subscript-baseline","self::superscript",'children/*[2][@role="prime"]','name(children/*[1])="subscript"',"not(following-sibling::*)","@embellished");(0,sre.MathspeakSpanish.defineRule_)("overscore",
-"mathspeak.default",'[t] "modificando superior"; [n] children/*[1]; [t] "con"; [n] children/*[2]',"self::overscore",'children/*[2][@role="overaccent"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("overscore","mathspeak.default","mathspeak.brief",'[t] "mod superior"; [n] children/*[1]; [t] "con"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("overscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("double-overscore","mathspeak.default",'[t] "modificando superior superior"; [n] children/*[1]; [t] "con"; [n] children/*[2]',
-"self::overscore",'children/*[2][@role="overaccent"]','name(children/*[1])="overscore"','children/*[1]/children/*[2][@role="overaccent"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("double-overscore","mathspeak.default","mathspeak.brief",'[t] "mod superior superior"; [n] children/*[1]; [t] "con"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("double-overscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("underscore","mathspeak.default",'[t] "modificando inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2]',
-"self::underscore",'children/*[2][@role="underaccent"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("underscore","mathspeak.default","mathspeak.brief",'[t] "mod inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("underscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("double-underscore","mathspeak.default",'[t] "modificando inferior inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2]',"self::underscore",
-'children/*[2][@role="underaccent"]','name(children/*[1])="underscore"','children/*[1]/children/*[2][@role="underaccent"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("double-underscore","mathspeak.default","mathspeak.brief",'[t] "mod inferior inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("double-underscore","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("overbar","mathspeak.default",'[n] children/*[1]; [t] "barra"',
-"self::overscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="overaccent"]','children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("overbar","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "barra"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("overbar","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("underbar",
-"mathspeak.default",'[n] children/*[1]; [t] "subbarra"',"self::underscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="underaccent"]','children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("underbar","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "subbarra"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("underbar","mathspeak.brief","mathspeak.sbrief");
-(0,sre.MathspeakSpanish.defineRule_)("overtilde","mathspeak.default",'[n] children/*[1]; [t] "tilde"',"self::overscore",'children/*[2][@role="overaccent"]','@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("overtilde","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "tilde"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("overtilde",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("undertilde","mathspeak.default",'[n] children/*[1]; [t] "subtilde"',"self::underscore",'@role="latinletter" or @role="greekletter" or @role="otherletter"','children/*[2][@role="underaccent"]','children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("undertilde","mathspeak.default","mathspeak.brief",'[n] children/*[1]; [t] "subtilde"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("undertilde",
-"mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("matrix-fence","mathspeak.default","[n] children/*[1];","self::fenced","count(children/*)=1",'name(children/*[1])="matrix"');(0,sre.MathspeakSpanish.defineRule_)("matrix","mathspeak.default",'[t] "empezar matriz"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar matriz"',"self::matrix");(0,sre.MathspeakSpanish.defineRule_)("matrix",
-"mathspeak.sbrief",'[t] "matriz"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:" "); [t] "finalizar matriz"',"self::matrix");(0,sre.MathspeakSpanish.defineRuleAlias_)("matrix","self::vector");(0,sre.MathspeakSpanish.defineRule_)("matrix-row","mathspeak.default",'[m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"columna");[p] (pause: 200)',"self::row");(0,sre.MathspeakSpanish.defineRule_)("row-with-label","mathspeak.default",
-'[t] "con etiqueta"; [n] content/*[1]; [t] "finalizar etiqueta" (pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"columna")',"self::row","content");(0,sre.MathspeakSpanish.defineRule_)("row-with-label","mathspeak.brief",'[t] "etiqueta"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"columna")',"self::row","content");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("row-with-label","mathspeak.brief","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("row-with-text-label",
-"mathspeak.sbrief",'[t] "etiqueta"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"columna")',"self::row","content",'name(content/cell/children/*[1])="text"');(0,sre.MathspeakSpanish.defineRule_)("empty-row","mathspeak.default",'[t] "espacio"',"self::row","count(children/*)=0");(0,sre.MathspeakSpanish.defineRule_)("matrix-cell","mathspeak.default","[n] children/*[1]; [p] (pause: 300)","self::cell");(0,sre.MathspeakSpanish.defineRule_)("empty-cell","mathspeak.default",'[t] "espacio"; [p] (pause: 300)',
-"self::cell","count(children/*)=0");(0,sre.MathspeakSpanish.defineRule_)("determinant","mathspeak.default",'[t] "empezar determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar determinante"',"self::matrix",'@role="determinant"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("determinant","mathspeak.default","mathspeak.sbrief",'[t] "determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar determinante"');
-(0,sre.MathspeakSpanish.defineRule_)("determinant-simple","mathspeak.default",'[t] "empezar determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila",grammar:simpleDet); [t] "finalizar determinante"',"self::matrix",'@role="determinant"',"CQFdetIsSimple");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("determinant-simple","mathspeak.default","mathspeak.sbrief",'[t] "determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila",grammar:simpleDet); [t] "finalizar determinante"');
-(0,sre.MathspeakSpanish.defineRule_)("row-simple","mathspeak.default","[m] children/*;","self::row",'@role="determinant"','contains(@grammar, "simpleDet")');(0,sre.MathspeakSpanish.defineRule_)("layout","mathspeak.default",'[t] "empezar esquema"; [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar esquema"',"self::table");(0,sre.MathspeakSpanish.defineRule_)("layout","mathspeak.sbrief",'[t] "esquema"; [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar esquema"',
-"self::table");(0,sre.MathspeakSpanish.defineRule_)("binomial","mathspeak.default",'[t] "empezar binomial"; [n] children/*[1]/children/*[1]; [t] "en"; [n] children/*[2]/children/*[1];  [t] "finalizar binomial"',"self::vector",'@role="binomial"');(0,sre.MathspeakSpanish.defineRule_)("binomial","mathspeak.sbrief",'[t] "binomial"; [n] children/*[1]/children/*[1]; [t] "en"; [n] children/*[2]/children/*[1];  [t] "finalizar binomial"',"self::vector",'@role="binomial"');(0,sre.MathspeakSpanish.defineRule_)("cases",
-"mathspeak.default",'[t] "empezar esquema"; [n] content/*[1]; [t] "alargada"; [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar esquema"',"self::cases");(0,sre.MathspeakSpanish.defineRule_)("cases","mathspeak.sbrief",'[t] "esquema"; [n] content/*[1]; [t] "alargada"; [m] children/* (ctxtFunc:CTXFordinalCounterEs,context:"fila "); [t] "finalizar esquema"',"self::cases");(0,sre.MathspeakSpanish.defineRuleAlias_)("layout","self::multiline");(0,sre.MathspeakSpanish.defineRule_)("line",
-"mathspeak.default","[m] children/*","self::line");(0,sre.MathspeakSpanish.defineRule_)("line-with-label","mathspeak.default",'[t] "con etiqueta"; [n] content/*[1]; [t] "finalizar etiqueta" (pause: 200); [m] children/*',"self::line","content");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("line-with-label","mathspeak.default","mathspeak.brief",'[t] "etiqueta"; [n] content/*[1] (pause: 200); [m] children/*');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("line-with-label","mathspeak.brief","mathspeak.sbrief");
-(0,sre.MathspeakSpanish.defineRule_)("line-with-text-label","mathspeak.sbrief",'[t] "etiqueta"; [t] CSFRemoveParens; [m] children/*',"self::line","content",'name(content/cell/children/*[1])="text"');(0,sre.MathspeakSpanish.defineRule_)("empty-line","mathspeak.default",'[t] "espacio"',"self::line","count(children/*)=0","not(content)");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("empty-line","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("empty-line","mathspeak.brief",
-"mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("empty-line-with-label","mathspeak.default",'[t] "con etiqueta"; [n] content/*[1]; [t] "finalizar etiqueta" (pause: 200); [t] "espacio"',"self::line","count(children/*)=0","content");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("empty-line-with-label","mathspeak.default","mathspeak.brief",'[t] "etiqueta"; [n] content/*[1] (pause: 200); [t] "espacio"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("empty-line-with-label","mathspeak.brief",
-"mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRule_)("enclose","mathspeak.default",'[t] "empezar rodear"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "finalizar rodear"',"self::enclose");(0,sre.MathspeakSpanish.defineRuleAlias_)("overbar","self::enclose",'@role="top"');(0,sre.MathspeakSpanish.defineRuleAlias_)("underbar","self::enclose",'@role="bottom"');(0,sre.MathspeakSpanish.defineRule_)("leftbar","mathspeak.default",'[t] "barra vertical"; [n] children/*[1]',"self::enclose",'@role="left"');
-(0,sre.MathspeakSpanish.defineRule_)("rightbar","mathspeak.default",'[n] children/*[1]; [t] "barra vertical"',"self::enclose",'@role="right"');(0,sre.MathspeakSpanish.defineRule_)("crossout","mathspeak.default",'[t] "tachado"; [n] children/*[1]; [t] "finalizar tachado"',"self::enclose",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakSpanish.defineRule_)("cancel","mathspeak.default",'[t] "tachado"; [n] children/*[1]/children/*[1]; [t] "con"; [n] children/*[2]; [t] "finalizar tachado"',
-"self::overscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cancel","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cancel","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"');(0,sre.MathspeakSpanish.defineRule_)("cancel-reverse",
-"mathspeak.default",'[t] "tachado"; [n] children/*[2]/children/*[1]; [t] "con"; [n] children/*[1]; [t] "finalizar tachado"',"self::overscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.brief");(0,sre.MathspeakSpanish.defineSpecialisedRule_)("cancel-reverse","mathspeak.default","mathspeak.sbrief");(0,sre.MathspeakSpanish.defineRuleAlias_)("cancel-reverse",
-"self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]');(0,sre.MathspeakSpanish.defineRule_)("end-punct","mathspeak.default","[m] children/*","self::punctuated",'@role="endpunct"');(0,sre.MathspeakSpanish.defineRule_)("start-punct","mathspeak.default","[n] content/*[1]; [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.MathspeakSpanish.defineRule_)("integral-punct","mathspeak.default",
-"[n] children/*[1]; [n] children/*[3]","self::punctuated",'@role="integral"');(0,sre.MathspeakSpanish.defineRule_)("punctuated","mathspeak.default","[m] children/*","self::punctuated");(0,sre.MathspeakSpanish.defineRule_)("unit","mathspeak.default",'[t] text() (grammar:annotation="unit":translate)',"self::identifier",'@role="unit"');(0,sre.MathspeakSpanish.defineRule_)("unit","mathspeak.default",'[t] text() (grammar:annotation="unit":translate:plural)',"self::identifier",'@role="unit"','not(contains(@grammar, "singularUnit"))');
-(0,sre.MathspeakSpanish.defineRule_)("unit-square","mathspeak.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.MathspeakSpanish.defineRule_)("unit-cubic","mathspeak.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.MathspeakSpanish.defineRule_)("reciprocal","mathspeak.default",'[t] "reciprocal"; [n] children/*[1]',
-"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');(0,sre.MathspeakSpanish.defineRule_)("reciprocal","mathspeak.default",'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",
-'preceding-sibling::*[@role="unit"]');(0,sre.MathspeakSpanish.defineRule_)("unit-combine","mathspeak.default","[m] children/* (sepFunc:CTXFunitMultipliers)","self::infixop",'@role="unit"');(0,sre.MathspeakSpanish.defineRule_)("unit-combine","mathspeak.default","[m] children/* (sepFunc:CTXFunitMultipliers);","self::infixop",'@role="multiplication" or @role="implicit"','children/*[@role="unit"]');(0,sre.MathspeakSpanish.defineRule_)("unit-combine","mathspeak.default","[n] . (grammar:singularUnit);",
-"self::infixop",'@role="multiplication" or @role="implicit"','children/*[@role="unit"]','not(contains(@grammar, "singularUnit"))',"CQFoneLeft");(0,sre.MathspeakSpanish.defineRule_)("unit-divide","mathspeak.default",'[n] children/*[1]; [t] "per"; [n] children/*[2]',"self::fraction",'@role="unit"')};sre.MathspeakSpanish.componentString_={2:"CSFbaseline",1:"CSFsubscript",0:"CSFsuperscript"};sre.MathspeakSpanish.childNumber_={4:2,3:3,2:1,1:4,0:5};
-sre.MathspeakSpanish.generateTensorRuleStrings_=function(a){var b=[],c="",d="";a=parseInt(a,2);for(var e=0;5>e;e++){var f="children/*["+sre.MathspeakSpanish.childNumber_[e]+"]";if(a&1){var g=sre.MathspeakSpanish.componentString_[e%3];c="[t] "+g+"Verbose; [n] "+f+";"+c;d="[t] "+g+"Brief; [n] "+f+";"+d}else b.unshift("name("+f+')="empty"');a>>=1}b.push(c);b.push(d);return b};
-sre.MathspeakSpanish.generateMathspeakTensorRules_=function(){for(var a="11111 11110 11101 11100 10111 10110 10101 10100 01111 01110 01101 01100".split(" "),b=0,c;c=a[b];b++){var d="tensor"+c;c=sre.MathspeakSpanish.generateTensorRuleStrings_(c);var e=c.pop(),f=c.pop(),g=[d,"mathspeak.default",f,"self::tensor"].concat(c),h=[d,"mathspeak.brief",e,"self::tensor"].concat(c);sre.MathspeakSpanish.defineRule_.apply(null,g);sre.MathspeakSpanish.defineRule_.apply(null,h);(0,sre.MathspeakSpanish.defineSpecialisedRule_)(d,
-"mathspeak.brief","mathspeak.sbrief");g=sre.MathspeakSpanish.componentString_[2];f+="; [t]"+g+"Verbose";e+="; [t]"+g+"Brief";d+="-baseline";g=[d,"mathspeak.default",f,"self::tensor","following-sibling::*"].concat(c);h=[d,"mathspeak.brief",e,"self::tensor","following-sibling::*"].concat(c);sre.MathspeakSpanish.defineRule_.apply(null,g);sre.MathspeakSpanish.defineRule_.apply(null,h);(0,sre.MathspeakSpanish.defineSpecialisedRule_)(d,"mathspeak.brief","mathspeak.sbrief");d=[d,"self::tensor","not(following-sibling::*)",
-"ancestor::fraction|ancestor::punctuated|ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::relseq|ancestor::multirel|@embellished"].concat(c);sre.MathspeakSpanish.defineRuleAlias_.apply(null,d)}};sre.MathspeakSpanish.getInstance().initializer=[sre.MathspeakSpanish.initCustomFunctions_,sre.MathspeakSpanish.initMathspeakSpanish_,sre.MathspeakSpanish.generateMathspeakTensorRules_];sre.PrefixRules=function(){sre.MathStore.call(this)};goog.inherits(sre.PrefixRules,sre.MathStore);goog.addSingletonGetter(sre.PrefixRules);sre.PrefixRules.mathStore=sre.PrefixRules.getInstance();sre.PrefixRules.defineRule_=goog.bind(sre.PrefixRules.mathStore.defineRule,sre.PrefixRules.mathStore);sre.PrefixRules.defineRuleAlias_=goog.bind(sre.PrefixRules.mathStore.defineRulesAlias,sre.PrefixRules.mathStore);sre.PrefixRules.addCustomString_=goog.bind(sre.PrefixRules.mathStore.customStrings.add,sre.PrefixRules.mathStore.customStrings);
-sre.PrefixRules.ordinalPosition=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes);return sre.MathspeakUtil.simpleOrdinal(b.indexOf(a)+1).toString()};sre.PrefixRules.initCustomFunctions_=function(){(0,sre.PrefixRules.addCustomString_)("CSFordinalPosition",sre.PrefixRules.ordinalPosition)};
-sre.PrefixRules.initPrefixRules_=function(){(0,sre.PrefixRules.defineRule_)("numerator","prefix.default",'[t] "Numerator"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("denominator","prefix.default",'[t] "Denominator"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("base","prefix.default",'[t] "Base"; [p] (pause:200)',"self::*",'name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor"',
-"count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("exponent","prefix.default",'[t] "Exponent"; [p] (pause:200)',"self::*",'name(../..)="superscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("subscript","prefix.default",'[t] "Subscript"; [p] (pause:200)',"self::*",'name(../..)="subscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("overscript","prefix.default",'[t] "Overscript"; [p] (pause:200)',"self::*",'name(../..)="overscore"',"count(preceding-sibling::*)=1");
-(0,sre.PrefixRules.defineRule_)("underscript","prefix.default",'[t] "Underscript"; [p] (pause:200)',"self::*",'name(../..)="underscore"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("radicand","prefix.default",'[t] "Radicand"; [p] (pause:200)',"self::*",'name(../..)="sqrt"');(0,sre.PrefixRules.defineRule_)("radicand","prefix.default",'[t] "Radicand"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("index","prefix.default",
-'[t] "Index"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("leftsub","prefix.default",'[t] "Left Subscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsub"');(0,sre.PrefixRules.defineRule_)("leftsub","prefix.default",'[t] CSFordinalPosition; [t] "Left Subscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsub"');(0,sre.PrefixRules.defineRule_)("leftsuper",
-"prefix.default",'[t] "Left Superscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsuper"');(0,sre.PrefixRules.defineRule_)("leftsuper","prefix.default",'[t] CSFordinalPosition; [t] "Left Superscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsuper"');(0,sre.PrefixRules.defineRule_)("rightsub","prefix.default",'[t] "Right Subscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="rightsub"');(0,sre.PrefixRules.defineRule_)("rightsub",
-"prefix.default",'[t] CSFordinalPosition; [t] "Right Subscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="rightsub"');(0,sre.PrefixRules.defineRule_)("rightsuper","prefix.default",'[t] "Right Superscript"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="rightsuper"');(0,sre.PrefixRules.defineRule_)("rightsuper","prefix.default",'[t] CSFordinalPosition; [t] "Right Superscript"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"',
-'../../@role="rightsuper"');(0,sre.PrefixRules.defineRule_)("choice","prefix.default",'[t] "Choice Quantity"; [p] (pause:200)',"self::line",'@role="binomial"',"parent::*/parent::vector","count(preceding-sibling::*)=0");(0,sre.PrefixRules.defineRule_)("select","prefix.default",'[t] "Selection Quantity"; [p] (pause:200)',"self::line",'@role="binomial"',"parent::*/parent::vector","count(preceding-sibling::*)=1");(0,sre.PrefixRules.defineRule_)("row","prefix.default",'[t] CSFordinalPosition; [t] "Row"; [p] (pause:200)',
-"self::row");(0,sre.PrefixRules.defineRuleAlias_)("row","self::line");(0,sre.PrefixRules.defineRule_)("cell","prefix.default",'[n] ../..; [t] CSFordinalPosition; [t] "Column"; [p] (pause:200)',"self::cell",'contains(@grammar,"depth")');(0,sre.PrefixRules.defineRule_)("cell","prefix.default",'[t] CSFordinalPosition; [t] "Column"; [p] (pause:200)',"self::cell")};sre.PrefixRules.getInstance().initializer=[sre.PrefixRules.initCustomFunctions_,sre.PrefixRules.initPrefixRules_];sre.PrefixSpanish=function(){sre.MathStore.call(this);this.locale="es"};goog.inherits(sre.PrefixSpanish,sre.MathStore);goog.addSingletonGetter(sre.PrefixSpanish);sre.PrefixSpanish.mathStore=sre.PrefixSpanish.getInstance();sre.PrefixSpanish.defineRule_=goog.bind(sre.PrefixSpanish.mathStore.defineRule,sre.PrefixSpanish.mathStore);sre.PrefixSpanish.defineRuleAlias_=goog.bind(sre.PrefixSpanish.mathStore.defineRulesAlias,sre.PrefixSpanish.mathStore);
-sre.PrefixSpanish.addCustomString_=goog.bind(sre.PrefixSpanish.mathStore.customStrings.add,sre.PrefixSpanish.mathStore.customStrings);sre.PrefixSpanish.ordinalPosition=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes);return sre.MathspeakUtil.simpleOrdinal(b.indexOf(a)+1).toString()};sre.PrefixSpanish.initCustomFunctions_=function(){(0,sre.PrefixSpanish.addCustomString_)("CSFordinalPosition",sre.PrefixSpanish.ordinalPosition)};
-sre.PrefixSpanish.initPrefixSpanish_=function(){(0,sre.PrefixSpanish.defineRule_)("numerator","prefix.default",'[t] "numerador"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=0");(0,sre.PrefixSpanish.defineRule_)("denominator","prefix.default",'[t] "denominador"; [p] (pause:200)',"self::*",'name(../..)="fraction"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("base","prefix.default",'[t] "base"; [p] (pause:200)',"self::*",'name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor"',
-"count(preceding-sibling::*)=0");(0,sre.PrefixSpanish.defineRule_)("exponent","prefix.default",'[t] "exponente"; [p] (pause:200)',"self::*",'name(../..)="superscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("subscript","prefix.default",'[t] "sub\u00edndice"; [p] (pause:200)',"self::*",'name(../..)="subscript"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("overscript","prefix.default",'[t] "overscript"; [p] (pause:200)',"self::*",'name(../..)="overscore"',
-"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("underscript","prefix.default",'[t] "underscript"; [p] (pause:200)',"self::*",'name(../..)="underscore"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("radicand","prefix.default",'[t] "radicand"; [p] (pause:200)',"self::*",'name(../..)="sqrt"');(0,sre.PrefixSpanish.defineRule_)("radicand","prefix.default",'[t] "radicand"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("index",
-"prefix.default",'[t] "\u00edndice"; [p] (pause:200)',"self::*",'name(../..)="root"',"count(preceding-sibling::*)=0");(0,sre.PrefixSpanish.defineRule_)("leftsub","prefix.default",'[t] "sub\u00edndice izquierdo"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsub"');(0,sre.PrefixSpanish.defineRule_)("leftsub","prefix.default",'[t] CSFordinalPosition; [t] "sub\u00edndice izquierdo"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsub"');
-(0,sre.PrefixSpanish.defineRule_)("leftsuper","prefix.default",'[t] "super\u00edndice izquierdo"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="leftsuper"');(0,sre.PrefixSpanish.defineRule_)("leftsuper","prefix.default",'[t] CSFordinalPosition; [t] "super\u00edndice izquierdo"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="leftsuper"');(0,sre.PrefixSpanish.defineRule_)("rightsub","prefix.default",'[t] "derecha sub\u00edndice"; [p] (pause:200)',
-"self::*",'name(../..)="tensor"','@role="rightsub"');(0,sre.PrefixSpanish.defineRule_)("rightsub","prefix.default",'[t] CSFordinalPosition; [t] "derecha sub\u00edndice"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="rightsub"');(0,sre.PrefixSpanish.defineRule_)("rightsuper","prefix.default",'[t] "super\u00edndice derecho"; [p] (pause:200)',"self::*",'name(../..)="tensor"','@role="rightsuper"');(0,sre.PrefixSpanish.defineRule_)("rightsuper","prefix.default",
-'[t] CSFordinalPosition; [t] "super\u00edndice derecho"; [p] (pause:200)',"self::*",'name(../..)="punctuated"','name(../../../..)="tensor"','../../@role="rightsuper"');(0,sre.PrefixSpanish.defineRule_)("choice","prefix.default",'[t] "cantidad de elecci\u00f3n"; [p] (pause:200)',"self::line",'@role="binomial"',"parent::*/parent::vector","count(preceding-sibling::*)=0");(0,sre.PrefixSpanish.defineRule_)("select","prefix.default",'[t] "cantidad de selecci\u00f3n"; [p] (pause:200)',"self::line",'@role="binomial"',
-"parent::*/parent::vector","count(preceding-sibling::*)=1");(0,sre.PrefixSpanish.defineRule_)("row","prefix.default",'[t] CSFordinalPosition; [t] "fila"; [p] (pause:200)',"self::row");(0,sre.PrefixSpanish.defineRuleAlias_)("row","self::line");(0,sre.PrefixSpanish.defineRule_)("cell","prefix.default",'[n] ../..; [t] CSFordinalPosition; [t] "columna"; [p] (pause:200)',"self::cell",'contains(@grammar,"depth")');(0,sre.PrefixSpanish.defineRule_)("cell","prefix.default",'[t] CSFordinalPosition; [t] "columna"; [p] (pause:200)',
-"self::cell")};sre.PrefixSpanish.getInstance().initializer=[sre.PrefixSpanish.initCustomFunctions_,sre.PrefixSpanish.initPrefixSpanish_];sre.SemanticTreeRules=function(){sre.MathStore.call(this)};goog.inherits(sre.SemanticTreeRules,sre.MathStore);goog.addSingletonGetter(sre.SemanticTreeRules);sre.SemanticTreeRules.mathStore=sre.SemanticTreeRules.getInstance();sre.SemanticTreeRules.defineRule_=goog.bind(sre.SemanticTreeRules.mathStore.defineRule,sre.SemanticTreeRules.mathStore);sre.SemanticTreeRules.defineRuleAlias_=goog.bind(sre.SemanticTreeRules.mathStore.defineRuleAlias,sre.SemanticTreeRules.mathStore);
-sre.SemanticTreeRules.addContextFunction_=goog.bind(sre.SemanticTreeRules.mathStore.contextFunctions.add,sre.SemanticTreeRules.mathStore.contextFunctions);sre.SemanticTreeRules.initCustomFunctions_=function(){(0,sre.SemanticTreeRules.addContextFunction_)("CTXFnodeCounter",sre.StoreUtil.nodeCounter);(0,sre.SemanticTreeRules.addContextFunction_)("CTXFcontentIterator",sre.MathmlStoreUtil.contentIterator)};
-sre.SemanticTreeRules.initSemanticRules_=function(){(0,sre.SemanticTreeRules.defineRule_)("stree","default.default","[n] ./*[1]","self::stree");(0,sre.SemanticTreeRules.defineRule_)("multrel","default.default",'[t] "multirelation"; [m] children/* (sepFunc:CTXFcontentIterator)',"self::multirel");(0,sre.SemanticTreeRules.defineRule_)("variable-equality","default.default",'[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',
-"count(./children/*)>2",'./children/punctuation[@role="ellipsis"]');(0,sre.SemanticTreeRules.defineRule_)("multi-equality","default.default",'[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");(0,sre.SemanticTreeRules.defineRule_)("multi-equality","default.short",'[t] "equation sequence"; [m] children/* (sepFunc:CTXFcontentIterator)','self::relseq[@role="equality"]',"count(./children/*)>2");
-(0,sre.SemanticTreeRules.defineRule_)("equality","default.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2");(0,sre.SemanticTreeRules.defineRule_)("simple-equality","default.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/identifier or ./children/number");(0,sre.SemanticTreeRules.defineRule_)("simple-equality2",
-"default.default","[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2]",'self::relseq[@role="equality"]',"count(./children/*)=2","./children/function or ./children/appl");(0,sre.SemanticTreeRules.defineRule_)("relseq","default.default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq");(0,sre.SemanticTreeRules.defineRule_)("binary-operation","default.default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop");(0,sre.SemanticTreeRules.defineRule_)("variable-addition",
-"default.default",'[t] "sum with variable number of summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator)','self::infixop[@role="addition"]',"count(children/*)>2",'children/punctuation[@role="ellipsis"]');(0,sre.SemanticTreeRules.defineRule_)("multi-addition","default.default",'[t] "sum with"; [t] count(./children/*); [t] "summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator)','self::infixop[@role="addition"]',"count(./children/*)>2");(0,sre.SemanticTreeRules.defineRule_)("prefix",
-"default.default",'[t] "prefix"; [n] text(); [t] "of" (pause 150);[n] children/*[1]',"self::prefixop");(0,sre.SemanticTreeRules.defineRule_)("negative","default.default",'[t] "negative"; [n] children/*[1]',"self::prefixop",'self::prefixop[@role="negative"]');(0,sre.SemanticTreeRules.defineRule_)("postfix","default.default",'[n] children/*[1]; [t] "postfix"; [n] text() (pause 300)',"self::postfixop");(0,sre.SemanticTreeRules.defineRule_)("identifier","default.default","[n] text()","self::identifier");
-(0,sre.SemanticTreeRules.defineRule_)("number","default.default","[n] text()","self::number");(0,sre.SemanticTreeRules.defineRule_)("mixed-number","default.default",'[n] children/*[1]; [t] "and"; [n] children/*[2]; ',"self::number",'@role="mixed"');(0,sre.SemanticTreeRules.defineRule_)("font","default.default","[t] @font; [n] . (grammar:ignoreFont=@font)","self::*","@font",'not(contains(@grammar, "ignoreFont"))','@font!="normal"');(0,sre.SemanticTreeRules.defineRule_)("font-identifier-short","default.default",
-"[t] @font; [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="normal"','""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")',
-'@role!="unit"');(0,sre.SemanticTreeRules.defineRule_)("font-identifier","default.default","[t] @font; [n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'@font="normal"','not(contains(@grammar, "ignoreFont"))','@role!="unit"');(0,sre.SemanticTreeRules.defineRule_)("omit-font","default.default","[n] . (grammar:ignoreFont=@font)","self::identifier","string-length(text())=1","@font",'not(contains(@grammar, "ignoreFont"))','@font="italic"');(0,sre.SemanticTreeRules.defineRule_)("fraction",
-"default.default",'[p] (pause:250); [n] children/*[1] (rate:0.35); [p] (pause:250); [t] "divided by"; [n] children/*[2] (rate:-0.35); [p] (pause:400)',"self::fraction");(0,sre.SemanticTreeRules.defineRule_)("superscript","default.default",'[n] children/*[1]; [t] "super"; [n] children/*[2] (pitch:0.35);[p] (pause:300)',"self::superscript");(0,sre.SemanticTreeRules.defineRule_)("subscript","default.default",'[n] children/*[1]; [t] "sub"; [n] children/*[2] (pitch:-0.35);[p] (pause:300)',"self::subscript");
-(0,sre.SemanticTreeRules.defineRule_)("ellipsis","default.default",'[p] (pause:200); [t] "ellipsis"; [p] (pause:300)',"self::punctuation",'self::punctuation[@role="ellipsis"]');(0,sre.SemanticTreeRules.defineRule_)("fence-single","default.default","[n] text()","self::punctuation",'self::punctuation[@role="openfence"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="closefence"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punctuation",
-'self::punctuation[@role="vbar"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("fence-single","self::punctuation",'self::punctuation[@role="application"]');(0,sre.SemanticTreeRules.defineRule_)("omit-empty","default.default","[p] (pause:100)","self::empty");(0,sre.SemanticTreeRules.defineRule_)("fences-open-close","default.default","[p] (pause:100); [n] content/*[1]; [n] children/*[1]; [n] content/*[2]; [p] (pause:100)","self::fenced",'@role="leftright"');(0,sre.SemanticTreeRules.defineRule_)("fences-open-close-in-appl",
-"default.default","[p] (pause:200); [n] children/*[1]; [p] (pause:200);",'self::fenced[@role="leftright"]',"./parent::children/parent::appl");(0,sre.SemanticTreeRules.defineRule_)("fences-neutral","default.default",'[p] (pause:100); [t] "absolute value of"; [n] children/*[1];[p] (pause:350);',"self::fenced",'self::fenced[@role="neutral"]');(0,sre.SemanticTreeRules.defineRule_)("omit-fences","default.default","[p] (pause:500); [n] children/*[1]; [p] (pause:200);","self::fenced");(0,sre.SemanticTreeRules.defineRule_)("matrix",
-"default.default",'[t] "matrix"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::matrix");(0,sre.SemanticTreeRules.defineRule_)("matrix-row","default.default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)','self::row[@role="matrix"]');(0,sre.SemanticTreeRules.defineRule_)("matrix-cell","default.default","[n] children/*[1]",'self::cell[@role="matrix"]');(0,sre.SemanticTreeRules.defineRule_)("vector","default.default",'[t] "vector"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"element",pause:100)',
-"self::vector");(0,sre.SemanticTreeRules.defineRule_)("cases","default.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100)',"self::cases");(0,sre.SemanticTreeRules.defineRule_)("cases-row","default.default","[m] children/*",'self::row[@role="cases"]');(0,sre.SemanticTreeRules.defineRule_)("cases-cell","default.default","[n] children/*[1]",'self::cell[@role="cases"]');(0,sre.SemanticTreeRules.defineRule_)("row","default.default",'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',
-"self::row");(0,sre.SemanticTreeRules.defineRule_)("cases-end","default.default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100);[t] "end cases"',"self::cases","following-sibling::*");(0,sre.SemanticTreeRules.defineRule_)("multiline","default.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"line",pause:100)',"self::multiline");(0,sre.SemanticTreeRules.defineRule_)("multiline-ineq","default.default",'[t] "multiline inequality";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',
-"self::multiline",'@role="inequality"');(0,sre.SemanticTreeRules.defineRule_)("line","default.default","[m] children/*","self::line");(0,sre.SemanticTreeRules.defineRule_)("table","default.default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table");(0,sre.SemanticTreeRules.defineRule_)("table-ineq","default.default",'[t] "multiline inequality";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table",'@role="inequality"');
-(0,sre.SemanticTreeRules.defineRule_)("table-row","default.default","[m] children/* (pause:100)",'self::row[@role="table"]');(0,sre.SemanticTreeRules.defineRuleAlias_)("cases-cell",'self::cell[@role="table"]');(0,sre.SemanticTreeRules.defineRule_)("empty-cell","mathspeak.default",'[t] "Blank"',"self::cell","count(children/*)=0");(0,sre.SemanticTreeRules.defineRule_)("end-punct","default.default","[m] children/*; [p] (pause:300)","self::punctuated",'@role="endpunct"');(0,sre.SemanticTreeRules.defineRule_)("start-punct",
-"default.default","[n] content/*[1]; [p] (pause:200); [m] children/*[position()>1]","self::punctuated",'@role="startpunct"');(0,sre.SemanticTreeRules.defineRule_)("integral-punct","default.default","[n] children/*[1] (rate:0.2); [n] children/*[3] (rate:0.2)","self::punctuated",'@role="integral"');(0,sre.SemanticTreeRules.defineRule_)("punctuated","default.default","[m] children/* (pause:100)","self::punctuated");(0,sre.SemanticTreeRules.defineRule_)("function","default.default","[n] text()","self::function");
-(0,sre.SemanticTreeRules.defineRule_)("appl","default.default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::appl");(0,sre.SemanticTreeRules.defineRule_)("sum-only","default.default",'[n] children/*[1]; [t] "from"; [n] children/*[2]; [t] "to";[n] children/*[3]',"self::limboth",'self::limboth[@role="sum"]');(0,sre.SemanticTreeRules.defineRule_)("limboth","default.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[t] "under"; [n] children/*[3]; [p] (pause 250);',
-"self::limboth");(0,sre.SemanticTreeRules.defineRule_)("limlower","default.default",'[n] children/*[1]; [t] "over"; [n] children/*[2];',"self::limlower");(0,sre.SemanticTreeRules.defineRule_)("limupper","default.default",'[n] children/*[1]; [t] "under"; [n] children/*[2];',"self::limupper");(0,sre.SemanticTreeRules.defineRule_)("largeop","default.default","[n] text()","self::largeop");(0,sre.SemanticTreeRules.defineRule_)("bigop","default.default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[p] (pause 250);',
-"self::bigop");(0,sre.SemanticTreeRules.defineRule_)("integral","default.default","[n] children/*[1]; [p] (pause 100); [n] children/*[2];[p] (pause 200); [n] children/*[3] (rate:0.35);","self::integral");(0,sre.SemanticTreeRules.defineRule_)("sqrt","default.default",'[t] "Square root of"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::sqrt");(0,sre.SemanticTreeRules.defineRule_)("square","default.default",'[n] children/*[1]; [t] "squared" (pitch:0.35); [p] (pause:300)',"self::superscript",
-"children/*[2][text()=2]",'name(./children/*[1])!="text"');(0,sre.SemanticTreeRules.defineRule_)("cube","default.default",'[n] children/*[1]; [t] "cubed" (pitch:0.35); [p] (pause:300)',"self::superscript","children/*[2][text()=3]",'name(./children/*[1])!="text"');(0,sre.SemanticTreeRules.defineRule_)("root","default.default",'[t] "root of order"; [n] children/*[1];[t] "over"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::root");(0,sre.SemanticTreeRules.defineRule_)("text","default.default",
-"[n] text(); [p] (pause:200)","self::text");(0,sre.SemanticTreeRules.defineRule_)("unit","default.default",'[t] text() (grammar:annotation="unit":translate)',"self::identifier",'@role="unit"');(0,sre.SemanticTreeRules.defineRule_)("unit-square","default.default",'[t] "square"; [n] children/*[1]',"self::superscript",'@role="unit"',"children/*[2][text()=2]",'name(children/*[1])="identifier"');(0,sre.SemanticTreeRules.defineRule_)("unit-cubic","default.default",'[t] "cubic"; [n] children/*[1]',"self::superscript",
-'@role="unit"',"children/*[2][text()=3]",'name(children/*[1])="identifier"');(0,sre.SemanticTreeRules.defineRule_)("reciprocal","default.default",'[t] "reciprocal"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]');(0,sre.SemanticTreeRules.defineRule_)("reciprocal","default.default",
-'[t] "per"; [n] children/*[1]',"self::superscript",'@role="unit"','name(children/*[1])="identifier"','name(children/*[2])="prefixop"','children/*[2][@role="negative"]',"children/*[2]/children/*[1][text()=1]",'preceding-sibling::*[@role="unit"]');(0,sre.SemanticTreeRules.defineRule_)("unit-combine","default.default","[m] children/*","self::infixop",'@role="unit"');(0,sre.SemanticTreeRules.defineRule_)("unit-divide","default.default",'[n] children/*[1] (pitch:0.3); [t] "per"; [n] children/*[2] (pitch:-0.3)',
-"self::fraction",'@role="unit"')};sre.SemanticTreeRules.getInstance().initializer=[sre.SemanticTreeRules.initCustomFunctions_,sre.SemanticTreeRules.initSemanticRules_];sre.SpeechRuleStores={};sre.SpeechRuleStores.RULE_SETS_={MathmlStoreRules:sre.MathmlStoreRules,SemanticTreeRules:sre.SemanticTreeRules,MathspeakRules:sre.MathspeakRules,MathspeakSpanish:sre.MathspeakSpanish,ClearspeakRules:sre.ClearspeakRules,EmacspeakRules:sre.EmacspeakRules,AbstractionRules:sre.AbstractionRules,AbstractionSpanish:sre.AbstractionSpanish,PrefixRules:sre.PrefixRules,PrefixSpanish:sre.PrefixSpanish};sre.SpeechRuleStores.availableSets=function(){return Object.keys(sre.SpeechRuleStores.RULE_SETS_)};
-sre.SpeechRuleStores.getConstructor=function(a){return(a=sre.SpeechRuleStores.RULE_SETS_[a])?a:null};sre.SpeechRuleEngine=function(){this.activeStore_=null;this.cache_={};this.ready_=!0;this.combinedStores_={};sre.Engine.registerTest(goog.bind(function(a){return this.ready_},this))};goog.addSingletonGetter(sre.SpeechRuleEngine);sre.SpeechRuleEngine.prototype.parameterize=function(a){for(var b={},c=0,d=a.length;c<d;c++){var e=a[c],f=sre.SpeechRuleStores.getConstructor(e);f&&f.getInstance&&(b[e]=f.getInstance())}this.parameterize_(b)};
-sre.SpeechRuleEngine.prototype.parameterize_=function(a){try{this.activeStore_=this.combineStores_(a)}catch(b){if("StoreError"==b.name)console.log("Store Error:",b.message);else throw b;}this.updateEngine()};sre.SpeechRuleEngine.prototype.constructString=function(a,b){if(!b)return"";if('"'==b.charAt(0))return b.slice(1,-1);var c=this.activeStore_.customStrings.lookup(b);return c?c(a):sre.XpathUtil.evaluateString(b,a)};sre.SpeechRuleEngine.prototype.clearCache=function(){this.cache_={}};
-sre.SpeechRuleEngine.prototype.forCache=function(a){for(var b in this.cache_)a(b,this.cache_[b])};sre.SpeechRuleEngine.prototype.getCacheForNode_=function(a){if(!a||!a.getAttribute)return null;a=a.getAttribute("id");return"undefined"===a||""===a?null:this.getCache(a)};sre.SpeechRuleEngine.prototype.getCache=function(a){return(a=this.cache_[a])?this.cloneCache(a):a};sre.SpeechRuleEngine.prototype.cloneCache=function(a){return a.map(function(a){return a.clone()})};
+sre.BaseRuleStore.prototype.parseCstr=function(a){return this.parser.parse(this.locale+"."+this.modality+(this.domain?"."+this.domain:"")+"."+a)};sre.BaseRuleStore.prototype.parse=function(a){this.modality=a.modality||this.modality;this.locale=a.locale||this.locale;this.domain=a.domain||this.domain;this.context.parse(a.functions||[]);this.parseRules(a.rules||[])};sre.BaseRuleStore.prototype.parseRules=function(a){for(var b=0,c;c=a[b];b++){var d=c[0],e=this.parseMethods[d];d&&e&&e.apply(this,c.slice(1))}};sre.MathStore=function(){sre.BaseRuleStore.call(this);this.initializer=[];this.parseMethods.Alias=goog.bind(this.defineRuleAlias,this);this.parseMethods.Aliases=goog.bind(this.defineRulesAlias,this);this.parseMethods.UniqueAlias=goog.bind(this.defineUniqueRuleAlias,this);this.parseMethods.SpecializedRule=goog.bind(this.defineSpecialisedRule,this)};goog.inherits(sre.MathStore,sre.BaseRuleStore);
+sre.MathStore.prototype.initialize=function(){if(!this.initialized){for(var a=0,b;b=this.initializer[a];a++)b(this);this.setSpeechRules(this.trie.collectRules());this.initialized=!0}};
+sre.MathStore.prototype.defineUniqueRuleAlias=function(a,b,c,d){var e=this.parseCstr(b),f=this.findRule(goog.bind(function(g){return g.name==a&&e.equal(g.dynamicCstr)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");this.addAlias_(f,c,Array.prototype.slice.call(arguments,3))};
+sre.MathStore.prototype.defineRuleAlias=function(a,b,c){var d=this.findRule(function(e){return e.name==a});if(!d)throw new sre.SpeechRule.OutputError("Rule with named "+a+" does not exist.");this.addAlias_(d,b,Array.prototype.slice.call(arguments,2))};
+sre.MathStore.prototype.defineRulesAlias=function(a,b,c){var d=this.findAllRules(function(g){return g.name==a});if(0==d.length)throw new sre.SpeechRule.OutputError("Rule with name "+a+" does not exist.");var e=Array.prototype.slice.call(arguments,2),f=[];d.forEach(goog.bind(function(g){a:{var h=g.dynamicCstr.toString();for(var k=g.action.toString(),l=0,m;m=f[l];l++)if(m.action===k&&m.cstr===h){h=!1;break a}f.push({cstr:h,action:k});h=!0}h&&this.addAlias_(g,b,e)},this))};
+sre.MathStore.prototype.addAlias_=function(a,b,c){b=new sre.SpeechRule.Precondition(b,c);b=new sre.SpeechRule(a.name,a.dynamicCstr,b,a.action);b.name=a.name;this.addRule(b)};
+sre.MathStore.prototype.defineSpecialisedRule=function(a,b,c,d){var e=this.parseCstr(b),f=this.findRule(goog.bind(function(g){return g.name==a&&e.equal(g.dynamicCstr)},this));if(!f)throw new sre.SpeechRule.OutputError("Rule named "+a+" with style "+b+" does not exist.");b=this.parseCstr(c);d=d?sre.SpeechRule.Action.fromString(d):f.action;f=new sre.SpeechRule(f.name,b,f.precondition,d);this.addRule(f)};sre.MathStore.prototype.evaluateDefault=function(a){return this.evaluateString_(a.textContent)};
+sre.MathStore.prototype.evaluateString_=function(a){var b=[];if(a.match(/^\s+$/))return b;var c=this.matchNumber_(a);if(c&&c.length===a.length)return b.push(this.evaluate_(c.number)),b;a=sre.BaseUtil.removeEmpty(a.replace(/\s/g," ").split(" "));for(var d=0;c=a[d];d++)if(1==c.length)b.push(this.evaluate_(c));else if(c.match(new RegExp("^["+sre.Messages.REGEXP.TEXT+"]+$")))b.push(this.evaluate_(c));else for(var e=c;e;){c=this.matchNumber_(e);var f=e.match(new RegExp("^["+sre.Messages.REGEXP.TEXT+"]+"));
+c?(b.push(this.evaluate_(c.number)),e=e.substring(c.length)):f?(b.push(this.evaluate_(f[0])),e=e.substring(f[0].length)):(c=e[0].charCodeAt(0),55296<=c&&56319>=c&&1<e.length&&!isNaN(e.charCodeAt(1))?(b.push(this.evaluate_(e.slice(0,2))),e=e.substring(2)):(b.push(this.evaluate_(e[0])),e=e.substring(1)))}return b};
+sre.MathStore.prototype.matchNumber_=function(a){var b=a.match(new RegExp("^"+sre.Messages.REGEXP.NUMBER)),c=a.match(new RegExp("^"+sre.Locale.en.REGEXP.NUMBER));if(!b&&!c)return null;var d=c&&c[0]===a;return b&&b[0]===a||!d?{number:b[0],length:b[0].length}:{number:c[0].replace(new RegExp(sre.Locale.en.REGEXP.DIGIT_GROUP,"g"),"X").replace(new RegExp(sre.Locale.en.REGEXP.DECIMAL_MARK,"g"),sre.Messages.REGEXP.DECIMAL_MARK).replace(/X/g,sre.Messages.REGEXP.DIGIT_GROUP.replace(/\\/g,"")),length:c[0].length}};
+sre.MathStore.prototype.evaluate_=function(a){return sre.AuditoryDescription.create({text:a},{adjust:!0,translate:!0})};sre.MathStore.prototype.parse=function(a){sre.MathStore.superClass_.parse.call(this,a);this.initializer=a.initialize||[]};sre.BrailleStore=function(){sre.MathStore.call(this);this.modality="braille"};goog.inherits(sre.BrailleStore,sre.MathStore);
+sre.BrailleStore.prototype.evaluateDefault=function(a){a=a.textContent.slice(0);var b=[];if(a.match(/^\s+$/))return b;for(;a;){var c=a[0],d=c.charCodeAt(0);55296<=d&&56319>=d&&1<a.length&&!isNaN(a.charCodeAt(1))?(b.push(sre.AuditoryDescription.create({text:a.slice(0,2)},{adjust:!0,translate:!0})),a=a.substring(2)):(b.push(sre.AuditoryDescription.create({text:c},{adjust:!0,translate:!0})),a=a.substring(1))}return b};sre.ClearspeakPreferences=function(a,b){sre.DynamicCstr.call(this,a);this.preference=b};goog.inherits(sre.ClearspeakPreferences,sre.DynamicCstr);sre.ClearspeakPreferences.prototype.equal=function(a){if(!sre.ClearspeakPreferences.superClass_.equal.call(this,a))return!1;var b=Object.keys(this.preference);a=a.preference;if(b.length!==Object.keys(a).length)return!1;for(var c=0,d;d=b[c];c++)if(this.preference[d]!==a[d])return!1;return!0};sre.ClearspeakPreferences.AUTO="Auto";
+sre.ClearspeakPreferences.PREFERENCES=new sre.DynamicProperties({AbsoluteValue:["Auto","AbsEnd","Cardinality","Determinant"],Bar:["Auto","Conjugate"],Caps:["Auto","SayCaps"],CombinationPermutation:["Auto","ChoosePermute"],Currency:["Auto","Position","Prefix"],Ellipses:["Auto","AndSoOn"],Exponent:["Auto","AfterPower","Ordinal","OrdinalPower","Exponent"],Fraction:"Auto EndFrac FracOver General GeneralEndFrac Ordinal Over OverEndFrac Per".split(" "),Functions:["Auto","None","Reciprocal"],ImpliedTimes:["Auto",
+"MoreImpliedTimes","None"],Log:["Auto","LnAsNaturalLog"],Matrix:"Auto Combinatoric EndMatrix EndVector SilentColNum SpeakColNum Vector".split(" "),MultiLineLabel:"Auto Case Constraint Equation Line None Row Step".split(" "),MultiLineOverview:["Auto","None"],MultiLinePausesBetweenColumns:["Auto","Long","Short"],MultsymbolDot:["Auto","Dot"],MultsymbolX:["Auto","By","Cross"],Paren:"Auto CoordPoint Interval Silent Speak SpeakNestingLevel".split(" "),Prime:["Auto","Angle","Length"],Roots:["Auto","PosNegSqRoot",
+"PosNegSqRootEnd","RootEnd"],SetMemberSymbol:["Auto","Belongs","Element","Member"],Sets:["Auto","SilentBracket","woAll"],TriangleSymbol:["Auto","Delta"],Trig:["Auto","ArcTrig","TrigInverse","Reciprocal"],VerticalLine:["Auto","Divides","Given","SuchThat"]});
+sre.ClearspeakPreferences.comparator=function(){return new sre.ClearspeakPreferences.Comparator(sre.Engine.getInstance().dynamicCstr,sre.DynamicProperties.create([sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE]]))};
+sre.ClearspeakPreferences.Comparator=function(a,b){sre.DynamicCstr.DefaultComparator.call(this,a,b);this.preference=a.preference||{}};goog.inherits(sre.ClearspeakPreferences.Comparator,sre.DynamicCstr.DefaultComparator);sre.ClearspeakPreferences.Comparator.prototype.match=function(a){if(!sre.ClearspeakPreferences.Comparator.superClass_.match.call(this,a))return!1;if(!a.preference)return!0;for(var b=Object.keys(a.preference),c=0,d;d=b[c];c++)if(this.preference[d]!==a.preference[d])return!1;return!0};
+sre.ClearspeakPreferences.Comparator.prototype.compare=function(a,b){var c=sre.ClearspeakPreferences.Comparator.superClass_.compare.call(this,a,b);if(0!==c)return c;if(!a.preference&&b.preference)return 1;if(a.preference&&!b.preference)return-1;if(!a.preference&&!b.preference)return 0;a=Object.keys(a.preference).length;b=Object.keys(b.preference).length;return a>b?-1:a<b?1:0};
+sre.ClearspeakPreferences.Parser=function(){sre.DynamicCstr.Parser.call(this,[sre.DynamicCstr.Axis.LOCALE,sre.DynamicCstr.Axis.MODALITY,sre.DynamicCstr.Axis.DOMAIN,sre.DynamicCstr.Axis.STYLE])};goog.inherits(sre.ClearspeakPreferences.Parser,sre.DynamicCstr.Parser);
+sre.ClearspeakPreferences.Parser.prototype.parse=function(a){var b=sre.ClearspeakPreferences.Parser.superClass_.parse.call(this,a);a=b.getValue(sre.DynamicCstr.Axis.STYLE);b=b.getValue(sre.DynamicCstr.Axis.LOCALE);var c={};a!==sre.DynamicCstr.DEFAULT_VALUE&&(c=this.fromPreference(a),a=this.toPreference(c));return new sre.ClearspeakPreferences({locale:b,modality:sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY],domain:"clearspeak",style:a},c)};
+sre.ClearspeakPreferences.Parser.prototype.fromPreference=function(a){return sre.ClearspeakPreferences.fromPreference(a)};sre.ClearspeakPreferences.fromPreference=function(a){a=a.split(":");for(var b={},c=sre.ClearspeakPreferences.PREFERENCES.getProperties(),d=Object.keys(c),e=0,f;f=a[e];e++)if(f=f.split("_"),-1!==d.indexOf(f[0])){var g=f[1];g&&g!==sre.ClearspeakPreferences.AUTO&&-1!==c[f[0]].indexOf(g)&&(b[f[0]]=f[1])}return b};sre.ClearspeakPreferences.Parser.prototype.toPreference=function(a){return sre.ClearspeakPreferences.toPreference(a)};
+sre.ClearspeakPreferences.toPreference=function(a){for(var b=Object.keys(a),c=[],d=0;d<b.length;d++)c.push(b[d]+"_"+a[b[d]]);return c.length?c.join(":"):sre.DynamicCstr.DEFAULT_VALUE};sre.ClearspeakPreferences.LOCALE_PREFERENCES=null;
+sre.ClearspeakPreferences.getLocalePreferences=function(a){sre.ClearspeakPreferences.LOCALE_PREFERENCES||(a=a||sre.MathCompoundStore.getInstance().enumerate(sre.SpeechRuleEngine.getInstance().enumerate()),sre.ClearspeakPreferences.LOCALE_PREFERENCES=sre.ClearspeakPreferences.getLocalePreferences_(a));return sre.ClearspeakPreferences.LOCALE_PREFERENCES};
+sre.ClearspeakPreferences.getLocalePreferences_=function(a){var b={},c;for(c in a)if(a[c].speech&&a[c].speech.clearspeak){var d=Object.keys(a[c].speech.clearspeak),e=b[c]={},f;for(f in sre.ClearspeakPreferences.PREFERENCES.getProperties()){var g=sre.ClearspeakPreferences.PREFERENCES.getProperties()[f],h=[f+"_Auto"];if(g){g=$jscomp.makeIterator(g);for(var k=g.next();!k.done;k=g.next())k=k.value,-1!==d.indexOf(f+"_"+k)&&h.push(f+"_"+k)}e[f]=h}}return b};
+sre.ClearspeakPreferences.getSpeechExplorer=function(a){return(a=a.attached)&&a.length?a.find(function(b){return b.speechGenerator&&"speech"===b.speechGenerator.getOptions().modality}):null};
+sre.ClearspeakPreferences.smartPreferences=function(a,b){b=sre.ClearspeakPreferences.getLocalePreferences()[b];if(!b)return[];a=sre.ClearspeakPreferences.getSpeechExplorer(a);if(!a)return[{type:"radio",content:"Standard",id:"clearspeak-default",variable:"speechRules"}];a=sre.ClearspeakPreferences.relevantPreferences(a.walker.getFocus().getSemanticPrimary());var c=sre.Engine.DOMAIN_TO_STYLES.clearspeak;return[{type:"radio",content:"No Preferences",id:"clearspeak-default",variable:"speechRules"},{type:"radio",
+content:"Current Preferences",id:"clearspeak-"+c,variable:"speechRules"},{type:"rule"},{type:"label",content:"Preferences for "+a},{type:"rule"}].concat(b[a].map(function(d){d=d.split("_");return{type:"radio",content:d[1],id:"clearspeak-"+sre.ClearspeakPreferences.addPreference(c,d[0],d[1]),variable:"speechRules"}}))};sre.ClearspeakPreferences.relevantPreferences=function(a){var b=sre.ClearspeakPreferences.SEMANTIC_MAPPING_[a.type];return b?b[a.role]||b[""]||"ImpliedTimes":"ImpliedTimes"};
+sre.ClearspeakPreferences.REVERSE_MAPPING_=[["AbsoluteValue",sre.SemanticAttr.Type.FENCED,sre.SemanticAttr.Role.NEUTRAL],["Bar",sre.SemanticAttr.Type.OVERSCORE,sre.SemanticAttr.Role.OVERACCENT],["Caps",sre.SemanticAttr.Type.IDENTIFIER,sre.SemanticAttr.Role.LATINLETTER],["CombinationPermutation",sre.SemanticAttr.Type.APPL,sre.SemanticAttr.Role.UNKNOWN],["Ellipses",sre.SemanticAttr.Type.PUNCTUATION,sre.SemanticAttr.Role.ELLIPSIS],["Exponent",sre.SemanticAttr.Type.SUPERSCRIPT,""],["Fraction",sre.SemanticAttr.Type.FRACTION,
+""],["Functions",sre.SemanticAttr.Type.APPL,sre.SemanticAttr.Role.SIMPLEFUNC],["ImpliedTimes",sre.SemanticAttr.Type.OPERATOR,sre.SemanticAttr.Role.IMPLICIT],["Log",sre.SemanticAttr.Type.APPL,sre.SemanticAttr.Role.PREFIXFUNC],["Matrix",sre.SemanticAttr.Type.MATRIX,""],["Matrix",sre.SemanticAttr.Type.VECTOR,""],["MultiLineLabel",sre.SemanticAttr.Type.MULTILINE,sre.SemanticAttr.Role.LABEL],["MultiLineOverview",sre.SemanticAttr.Type.MULTILINE,sre.SemanticAttr.Role.TABLE],["MultiLinePausesBetweenColumns",
+sre.SemanticAttr.Type.MULTILINE,sre.SemanticAttr.Role.TABLE],["MultiLineLabel",sre.SemanticAttr.Type.TABLE,sre.SemanticAttr.Role.LABEL],["MultiLineOverview",sre.SemanticAttr.Type.TABLE,sre.SemanticAttr.Role.TABLE],["MultiLinePausesBetweenColumns",sre.SemanticAttr.Type.TABLE,sre.SemanticAttr.Role.TABLE],["MultiLineLabel",sre.SemanticAttr.Type.CASES,sre.SemanticAttr.Role.LABEL],["MultiLineOverview",sre.SemanticAttr.Type.CASES,sre.SemanticAttr.Role.TABLE],["MultiLinePausesBetweenColumns",sre.SemanticAttr.Type.CASES,
+sre.SemanticAttr.Role.TABLE],["MultsymbolDot",sre.SemanticAttr.Type.OPERATOR,sre.SemanticAttr.Role.MULTIPLICATION],["MultsymbolX",sre.SemanticAttr.Type.OPERATOR,sre.SemanticAttr.Role.MULTIPLICATION],["Paren",sre.SemanticAttr.Type.FENCED,sre.SemanticAttr.Role.LEFTRIGHT],["Prime",sre.SemanticAttr.Type.SUPERSCRIPT,sre.SemanticAttr.Role.PRIME],["Roots",sre.SemanticAttr.Type.ROOT,""],["Roots",sre.SemanticAttr.Type.SQRT,""],["SetMemberSymbol",sre.SemanticAttr.Type.RELATION,sre.SemanticAttr.Role.ELEMENT],
+["Sets",sre.SemanticAttr.Type.FENCED,sre.SemanticAttr.Role.SETEXT],["TriangleSymbol",sre.SemanticAttr.Type.IDENTIFIER,sre.SemanticAttr.Role.GREEKLETTER],["Trig",sre.SemanticAttr.Type.APPL,sre.SemanticAttr.Role.PREFIXFUNC],["VerticalLine",sre.SemanticAttr.Type.PUNCTUATED,sre.SemanticAttr.Role.VBAR]];sre.ClearspeakPreferences.SEMANTIC_MAPPING_=function(){for(var a={},b=0,c;c=sre.ClearspeakPreferences.REVERSE_MAPPING_[b];b++){var d=c[0],e=a[c[1]];e||(e={},a[c[1]]=e);e[c[2]]=d}return a}();
+sre.ClearspeakPreferences.findPreference=function(a,b){return"default"===a?sre.ClearspeakPreferences.AUTO:sre.ClearspeakPreferences.fromPreference(a)[b]||sre.ClearspeakPreferences.AUTO};sre.ClearspeakPreferences.addPreference=function(a,b,c){if("default"===a)return b+"_"+c;a=sre.ClearspeakPreferences.fromPreference(a);a[b]=c;return sre.ClearspeakPreferences.toPreference(a)};sre.Engine.getInstance().comparators.clearspeak=sre.ClearspeakPreferences.comparator;
+sre.Engine.getInstance().parsers.clearspeak=new sre.ClearspeakPreferences.Parser;sre.AlphabetGenerator={};sre.AlphabetGenerator.Font={BOLD:"bold",BOLDFRAKTUR:"bold-fraktur",BOLDITALIC:"bold-italic",BOLDSCRIPT:"bold-script",DOUBLESTRUCK:"double-struck",FULLWIDTH:"fullwidth",FRAKTUR:"fraktur",ITALIC:"italic",MONOSPACE:"monospace",NORMAL:"normal",SCRIPT:"script",SANSSERIF:"sans-serif",SANSSERIFITALIC:"sans-serif-italic",SANSSERIFBOLD:"sans-serif-bold",SANSSERIFBOLDITALIC:"sans-serif-bold-italic"};
+sre.AlphabetGenerator.Embellish={SUPER:"super",SUB:"sub",CIRCLED:"circled",PARENTHESIZED:"parenthesized",PERIOD:"period",NEGATIVECIRCLED:"negative-circled",DOUBLECIRCLED:"double-circled",CIRCLEDSANSSERIF:"circled-sans-serif",NEGATIVECIRCLEDSANSSERIF:"negative-circled-sans-serif",COMMA:"comma",SQUARED:"squared",NEGATIVESQUARED:"negative-squared"};sre.AlphabetGenerator.Base={LATINCAP:"latinCap",LATINSMALL:"latinSmall",GREEKCAP:"greekCap",GREEKSMALL:"greekSmall",DIGIT:"digit"};
+sre.AlphabetGenerator.Domains_={small:["default"],capital:["default"],digit:["default"]};
+sre.AlphabetGenerator.makeDomains_=function(){var a=sre.Messages.ALPHABET_PREFIXES,b=sre.Messages.ALPHABET_TRANSFORMERS,c=function(d,e){var f={};Object.keys(d).forEach(function(g){f[g]=!0});Object.keys(e).forEach(function(g){f[g]=!0});return Object.keys(f)};sre.AlphabetGenerator.Domains_.small=c(a.smallPrefix,b.letter);sre.AlphabetGenerator.Domains_.capital=c(a.capPrefix,b.letter);sre.AlphabetGenerator.Domains_.digit=c(a.digitPrefix,b.digit)};
+sre.AlphabetGenerator.generate=function(a,b){var c=sre.Engine.getInstance().locale;sre.Engine.getInstance().locale=a;sre.L10n.setLocale();b.addSymbolRules({locale:a});sre.AlphabetGenerator.makeDomains_();a=sre.AlphabetGenerator.INTERVALS;for(var d=0,e;e=a[d];d++){var f=sre.AlphabetGenerator.makeInterval(e.interval,e.subst),g=f.map(function(h){return sre.SemanticUtil.numberToUnicode(parseInt(h,16))});"offset"in e?sre.AlphabetGenerator.numberRules(b,f,g,e.font,e.category,e.offset||0):sre.AlphabetGenerator.alphabetRules(b,
+f,g,sre.Messages.ALPHABETS[e.base],e.font,e.category,!!e.capital)}sre.Engine.getInstance().locale=c;sre.L10n.setLocale()};sre.AlphabetGenerator.makeInterval=function(a,b){var c=parseInt(a[0],16);a=parseInt(a[1],16);for(var d=[];c<=a;c++){var e=c.toString(16).toUpperCase();e=3<e.length?e:("000"+e).slice(-4);!1!==b[e]&&(e=b[e]||e,d.push(e))}return d};
+sre.AlphabetGenerator.getFont=function(a){a="normal"===a||"fullwidth"===a?"":sre.Messages.FONT[a]||sre.Messages.EMBELLISH[a]||"";return"string"===typeof a?{font:a,combiner:sre.Messages.ALPHABET_COMBINER}:{font:a[0],combiner:a[1]}};
+sre.AlphabetGenerator.alphabetRules=function(a,b,c,d,e,f,g){e=sre.AlphabetGenerator.getFont(e);for(var h=0,k,l,m;k=b[h],l=c[h],m=d[h];h++)sre.AlphabetGenerator.makeLetter(a,e.combiner,k,l,m,e.font,g?sre.Messages.ALPHABET_PREFIXES.capPrefix:sre.Messages.ALPHABET_PREFIXES.smallPrefix,f,sre.Messages.ALPHABET_TRANSFORMERS.letter,g?sre.AlphabetGenerator.Domains_.capital:sre.AlphabetGenerator.Domains_.small)};
+sre.AlphabetGenerator.numberRules=function(a,b,c,d,e,f){d=sre.AlphabetGenerator.getFont(d);for(var g=0,h,k;h=b[g],k=c[g];g++)sre.AlphabetGenerator.makeLetter(a,d.combiner,h,k,g+f,d.font,sre.Messages.ALPHABET_PREFIXES.digitPrefix,e,sre.Messages.ALPHABET_TRANSFORMERS.digit,sre.AlphabetGenerator.Domains_.digit)};
+sre.AlphabetGenerator.makeLetter=function(a,b,c,d,e,f,g,h,k,l){for(var m=0,n;n=l[m];m++){var p=n in g?g[n]:g["default"];a.defineRule(c.toString(),n,"default",h,d,b((n in k?k[n]:k["default"])(e),f,p))}};
+sre.AlphabetGenerator.INTERVALS=[{interval:["1D400","1D419"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.BOLD},{interval:["1D41A","1D433"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.BOLD},{interval:["1D56C","1D585"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.BOLDFRAKTUR},{interval:["1D586","1D59F"],base:sre.AlphabetGenerator.Base.LATINSMALL,
+subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.BOLDFRAKTUR},{interval:["1D468","1D481"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.BOLDITALIC},{interval:["1D482","1D49B"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.BOLDITALIC},{interval:["1D4D0","1D4E9"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.BOLDSCRIPT},
+{interval:["1D4EA","1D503"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.BOLDSCRIPT},{interval:["1D538","1D551"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{"1D53A":"2102","1D53F":"210D","1D545":"2115","1D547":"2119","1D548":"211A","1D549":"211D","1D551":"2124"},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.DOUBLESTRUCK},{interval:["1D552","1D56B"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",
+font:sre.AlphabetGenerator.Font.DOUBLESTRUCK},{interval:["1D504","1D51D"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{"1D506":"212D","1D50B":"210C","1D50C":"2111","1D515":"211C","1D51D":"2128"},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.FRAKTUR},{interval:["1D51E","1D537"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.FRAKTUR},{interval:["FF21","FF3A"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",
+font:sre.AlphabetGenerator.Font.FULLWIDTH},{interval:["FF41","FF5A"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.FULLWIDTH},{interval:["1D434","1D44D"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.ITALIC},{interval:["1D44E","1D467"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{"1D455":"210E"},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.ITALIC},{interval:["1D670",
+"1D689"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.MONOSPACE},{interval:["1D68A","1D6A3"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.MONOSPACE},{interval:["0041","005A"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.NORMAL},{interval:["0061","007A"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,
+category:"Ll",font:sre.AlphabetGenerator.Font.NORMAL},{interval:["1D49C","1D4B5"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{"1D49D":"212C","1D4A0":"2130","1D4A1":"2131","1D4A3":"210B","1D4A4":"2110","1D4A7":"2112","1D4A8":"2133","1D4AD":"211B"},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.SCRIPT},{interval:["1D4B6","1D4CF"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{"1D4BA":"212F","1D4BC":"210A","1D4C4":"2134"},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SCRIPT},
+{interval:["1D5A0","1D5B9"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.SANSSERIF},{interval:["1D5BA","1D5D3"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SANSSERIF},{interval:["1D608","1D621"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.SANSSERIFITALIC},{interval:["1D622","1D63B"],base:sre.AlphabetGenerator.Base.LATINSMALL,
+subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SANSSERIFITALIC},{interval:["1D5D4","1D5ED"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.SANSSERIFBOLD},{interval:["1D5EE","1D607"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SANSSERIFBOLD},{interval:["1D63C","1D655"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.SANSSERIFBOLDITALIC},
+{interval:["1D656","1D66F"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SANSSERIFBOLDITALIC},{interval:["0391","03A9"],base:sre.AlphabetGenerator.Base.GREEKCAP,subst:{"03A2":"03F4"},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.NORMAL},{interval:["03B0","03D0"],base:sre.AlphabetGenerator.Base.GREEKSMALL,subst:{"03B0":"2207","03CA":"2202","03CB":"03F5","03CC":"03D1","03CD":"03F0","03CE":"03D5","03CF":"03F1","03D0":"03D6"},
+capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.NORMAL},{interval:["1D6A8","1D6C0"],base:sre.AlphabetGenerator.Base.GREEKCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.BOLD},{interval:["1D6C1","1D6E1"],base:sre.AlphabetGenerator.Base.GREEKSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.BOLD},{interval:["1D6E2","1D6FA"],base:sre.AlphabetGenerator.Base.GREEKCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.ITALIC},{interval:["1D6FB",
+"1D71B"],base:sre.AlphabetGenerator.Base.GREEKSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.ITALIC},{interval:["1D71C","1D734"],base:sre.AlphabetGenerator.Base.GREEKCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.BOLDITALIC},{interval:["1D735","1D755"],base:sre.AlphabetGenerator.Base.GREEKSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.BOLDITALIC},{interval:["1D756","1D76E"],base:sre.AlphabetGenerator.Base.GREEKCAP,subst:{},capital:!0,
+category:"Lu",font:sre.AlphabetGenerator.Font.SANSSERIFBOLD},{interval:["1D76F","1D78F"],base:sre.AlphabetGenerator.Base.GREEKSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SANSSERIFBOLD},{interval:["1D790","1D7A8"],base:sre.AlphabetGenerator.Base.GREEKCAP,subst:{},capital:!0,category:"Lu",font:sre.AlphabetGenerator.Font.SANSSERIFBOLDITALIC},{interval:["1D7A9","1D7C9"],base:sre.AlphabetGenerator.Base.GREEKSMALL,subst:{},capital:!1,category:"Ll",font:sre.AlphabetGenerator.Font.SANSSERIFBOLDITALIC},
+{interval:["0030","0039"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"Nd",font:sre.AlphabetGenerator.Font.NORMAL},{interval:["2070","2079"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{2071:"00B9",2072:"00B2",2073:"00B3"},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.SUPER},{interval:["2080","2089"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.SUB},{interval:["245F","2473"],base:sre.AlphabetGenerator.Base.DIGIT,
+subst:{"245F":"24EA"},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.CIRCLED},{interval:["3251","325F"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:21,category:"No",font:sre.AlphabetGenerator.Embellish.CIRCLED},{interval:["32B1","32BF"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:36,category:"No",font:sre.AlphabetGenerator.Embellish.CIRCLED},{interval:["2474","2487"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:1,category:"No",font:sre.AlphabetGenerator.Embellish.PARENTHESIZED},
+{interval:["2487","249B"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{2487:"1F100"},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.PERIOD},{interval:["2775","277F"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{2775:"24FF"},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.NEGATIVECIRCLED},{interval:["24EB","24F4"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:11,category:"No",font:sre.AlphabetGenerator.Embellish.NEGATIVECIRCLED},{interval:["24F5","24FE"],base:sre.AlphabetGenerator.Base.DIGIT,
+subst:{},offset:1,category:"No",font:sre.AlphabetGenerator.Embellish.DOUBLECIRCLED},{interval:["277F","2789"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{"277F":"1F10B"},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.CIRCLEDSANSSERIF},{interval:["2789","2793"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{2789:"1F10C"},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.NEGATIVECIRCLEDSANSSERIF},{interval:["FF10","FF19"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,
+category:"Nd",font:sre.AlphabetGenerator.Font.FULLWIDTH},{interval:["1D7CE","1D7D7"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"Nd",font:sre.AlphabetGenerator.Font.BOLD},{interval:["1D7D8","1D7E1"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"Nd",font:sre.AlphabetGenerator.Font.DOUBLESTRUCK},{interval:["1D7E2","1D7EB"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"Nd",font:sre.AlphabetGenerator.Font.SANSSERIF},{interval:["1D7EC","1D7F5"],
+base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"Nd",font:sre.AlphabetGenerator.Font.SANSSERIFBOLD},{interval:["1D7F6","1D7FF"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"Nd",font:sre.AlphabetGenerator.Font.MONOSPACE},{interval:["1F101","1F10A"],base:sre.AlphabetGenerator.Base.DIGIT,subst:{},offset:0,category:"No",font:sre.AlphabetGenerator.Embellish.COMMA},{interval:["24B6","24CF"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"So",
+font:sre.AlphabetGenerator.Embellish.CIRCLED},{interval:["24D0","24E9"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"So",font:sre.AlphabetGenerator.Embellish.CIRCLED},{interval:["1F110","1F129"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"So",font:sre.AlphabetGenerator.Embellish.PARENTHESIZED},{interval:["249C","24B5"],base:sre.AlphabetGenerator.Base.LATINSMALL,subst:{},capital:!1,category:"So",font:sre.AlphabetGenerator.Embellish.PARENTHESIZED},
+{interval:["1F130","1F149"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"So",font:sre.AlphabetGenerator.Embellish.SQUARED},{interval:["1F170","1F189"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"So",font:sre.AlphabetGenerator.Embellish.NEGATIVESQUARED},{interval:["1F150","1F169"],base:sre.AlphabetGenerator.Base.LATINCAP,subst:{},capital:!0,category:"So",font:sre.AlphabetGenerator.Embellish.NEGATIVECIRCLED}];sre.MathSimpleStore=function(){sre.MathStore.call(this);this.category=""};goog.inherits(sre.MathSimpleStore,sre.MathStore);sre.MathSimpleStore.prototype.defineRulesFromMappings=function(a,b,c){for(var d in c)for(var e in c[d])this.defineRuleFromStrings(a,d,e,b,c[d][e])};sre.MathSimpleStore.prototype.defineRuleFromStrings=function(a,b,c,d,e){this.defineRule(a,b+"."+c,'[t] "'+e+'"',"self::text()",'"'===d?"self::text() = '"+d+"'":'self::text() = "'+d+'"')};
+sre.MathSimpleStore.prototype.lookupRule=function(a,b){a=this.getSpeechRules().filter(function(c){return sre.MathSimpleStore.testDynamicConstraints_(b,c)});return a.length?a.sort(function(c,d){return sre.Engine.getInstance().comparator.compare(c.dynamicCstr,d.dynamicCstr)})[0]:null};sre.MathSimpleStore.testDynamicConstraints_=function(a,b){return sre.Engine.getInstance().strict?b.dynamicCstr.equal(a):sre.Engine.getInstance().comparator.match(b.dynamicCstr)};
+sre.MathCompoundStore=function(){this.subStores_={};this.locale=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE];this.modality=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]};goog.addSingletonGetter(sre.MathCompoundStore);sre.MathCompoundStore.prototype.getSubStore_=function(a){var b=this.subStores_[a];if(b)return sre.Debugger.getInstance().output("Store exists! "+a),b;b=new sre.MathSimpleStore;return this.subStores_[a]=b};
+sre.MathCompoundStore.prototype.setupStore_=function(a,b){a.locale=this.locale;a.modality=this.modality;b&&(a.category=b)};sre.MathCompoundStore.prototype.defineRules=function(a,b,c,d){var e=this.getSubStore_(b);this.setupStore_(e,c);e.defineRulesFromMappings(a,b,d)};sre.MathCompoundStore.prototype.defineRule=function(a,b,c,d,e,f){var g=this.getSubStore_(e);this.setupStore_(g,d);g.defineRuleFromStrings(a,b,c,e,f)};
+sre.MathCompoundStore.prototype.changeLocale_=function(a){if(!a.locale&&!a.modality)return!1;this.locale=a.locale||this.locale;this.modality=a.modality||this.modality;return!0};sre.MathCompoundStore.prototype.addSymbolRules=function(a){if(!this.changeLocale_(a)){var b=sre.MathSimpleStore.parseUnicode_(a.key);this.defineRules(a.key,b,a.category,a.mappings)}};
+sre.MathCompoundStore.prototype.addFunctionRules=function(a){if(!this.changeLocale_(a)){var b=a.names,c=a.mappings;a=a.category;for(var d=0,e;e=b[d];d++)this.defineRules(e,e,a,c)}};sre.MathCompoundStore.prototype.addUnitRules=function(a){if(!this.changeLocale_(a)){var b=a.names;b&&(a.names=b.map(function(c){return c+":unit"}));this.addFunctionRules(a)}};sre.MathCompoundStore.prototype.lookupRule=function(a,b){return(a=this.subStores_[a])?a.lookupRule(null,b):null};
+sre.MathCompoundStore.prototype.lookupCategory=function(a){return(a=this.subStores_[a])?a.category:""};sre.MathCompoundStore.prototype.lookupString=function(a,b){return(a=this.lookupRule(a,b))?a.action.components.map(function(c){return c.content.slice(1,-1)}).join(" "):""};sre.MathCompoundStore.prototype.enumerate=function(a){a=a||{};for(var b in this.subStores_)a=this.subStores_[b].trie.enumerate(a);return a};
+sre.MathSimpleStore.parseUnicode_=function(a){a=parseInt(a,16);if(65536>a)return String.fromCharCode(a);a-=65536;return String.fromCharCode((a>>10)+55296,(a&1023)+56320)};sre.MathMap=function(){this.store=sre.MathCompoundStore.getInstance();this.loaded_=[];this.addRules={functions:goog.bind(this.store.addFunctionRules,this.store),symbols:goog.bind(this.store.addSymbolRules,this.store),units:goog.bind(this.store.addUnitRules,this.store)}};goog.addSingletonGetter(sre.MathMap);sre.MathMap.oldInst_=sre.MathMap.getInstance;sre.MathMap.getInstance=function(){var a=sre.MathMap.oldInst_();a.loadLocale();return a};
+sre.MathMap.prototype.loadLocale=function(){var a=sre.Engine.getInstance().locale;if(-1===this.loaded_.indexOf(a)){var b=sre.Engine.getInstance().mode===sre.Engine.Mode.ASYNC;b&&(sre.Engine.getInstance().mode=sre.Engine.Mode.SYNC);this.loaded_.push(a);this.retrieveMaps(a);b&&(sre.Engine.getInstance().mode=sre.Engine.Mode.ASYNC)}};sre.MathMap.toFetch_=0;sre.Engine.registerTest(function(){return sre.MathMap.getInstance()&&!sre.MathMap.toFetch_});
+sre.MathMap.prototype.retrieveFiles=function(a){a=sre.BaseUtil.makePath(sre.SystemExternal.jsonPath)+a+".js";switch(sre.Engine.getInstance().mode){case sre.Engine.Mode.ASYNC:sre.MathMap.toFetch_++;var b=goog.bind(this.parseMaps,this);sre.MathMap.fromFile_(a,function(c,d){sre.MathMap.toFetch_--;c||b(d)});break;case sre.Engine.Mode.HTTP:sre.MathMap.toFetch_++;this.getJsonAjax_(a);break;default:a=sre.MathMap.loadFile(a),this.parseMaps(a)}};
+sre.MathMap.prototype.parseMaps=function(a){a=JSON.parse(a);this.addMaps(a)};sre.MathMap.prototype.addMaps=function(a,b){for(var c=0,d;d=Object.keys(a)[c];c++){var e=d.split("/");b&&b!==e[0]||a[d].forEach(this.addRules[e[1]])}};sre.MathMap.prototype.retrieveMaps=function(a){sre.AlphabetGenerator.generate(a,this.store);sre.Engine.getInstance().isIE&&sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP?this.getJsonIE_(a):this.retrieveFiles(a)};
+sre.MathMap.prototype.getJsonIE_=function(a,b){var c=b||1;sre.BrowserUtil.mapsForIE?this.addMaps(sre.BrowserUtil.mapsForIE,a):5>=c&&setTimeout(goog.bind(function(){this.getJsonIE_(a,c++)},this),300)};sre.MathMap.fromFile_=function(a,b){return sre.SystemExternal.fs.readFile(a,"utf8",b)};sre.MathMap.loadFile=function(a){try{return sre.MathMap.readJSON_(a)}catch(b){console.error("Unable to load file: "+a+"\n"+b)}return"{}"};sre.MathMap.readJSON_=function(a){return sre.SystemExternal.fs.readFileSync(a)};
+sre.MathMap.prototype.getJsonAjax_=function(a){var b=new XMLHttpRequest,c=goog.bind(this.parseMaps,this);b.onreadystatechange=function(){4===b.readyState&&(sre.MathMap.toFetch_--,200===b.status&&c(b.responseText))};b.open("GET",a,!0);b.send()};sre.StoreUtil={};sre.StoreUtil.nodeCounter=function(a,b){var c=a.length,d=0,e=b;b||(e="");return function(){d<c&&(d+=1);return e+" "+d}};sre.StoreUtil.pauseSeparator=function(a,b){a=parseFloat(b);var c=isNaN(a)?b:a;return function(){return[sre.AuditoryDescription.create({text:"",personality:{pause:c}})]}};
+sre.StoreUtil.contentIterator=function(a,b){var c=0<a.length?sre.XpathUtil.evalXPath("../../content/*",a[0]):[];return function(){var d=c.shift(),e=b?[sre.AuditoryDescription.create({text:b},{translate:!0})]:[];if(!d)return e;d=sre.SpeechRuleEngine.getInstance().evaluateNode(d);return e.concat(d)}};sre.ClearspeakUtil={};sre.ClearspeakUtil.numbersToAlpha=function(a){return a.match(/\d+/)?sre.Messages.NUMBERS.numberToWords(parseInt(a,10)):a};sre.ClearspeakUtil.nodeCounter=function(a,b){b=b.split("-");var c=sre.StoreUtil.nodeCounter(a,b[0]||""),d=b[1]||"",e=b[2]||"",f=!0;return function(){var g=c();return f?(f=!1,e+g+d):g+d}};
+sre.ClearspeakUtil.isSimpleExpression=function(a){return sre.ClearspeakUtil.isSimpleNumber_(a)||sre.ClearspeakUtil.isSimpleLetters_(a)||sre.ClearspeakUtil.isSimpleDegree_(a)||sre.ClearspeakUtil.isSimpleNegative_(a)||sre.ClearspeakUtil.isSimpleFunction_(a)};
+sre.ClearspeakUtil.isSimpleFunction_=function(a){return a.type===sre.SemanticAttr.Type.APPL&&(a.childNodes[0].role===sre.SemanticAttr.Role.PREFIXFUNC||a.childNodes[0].role===sre.SemanticAttr.Role.SIMPLEFUNC)&&(sre.ClearspeakUtil.isSimple_(a.childNodes[1])||a.childNodes[1].type===sre.SemanticAttr.Type.FENCED&&sre.ClearspeakUtil.isSimple_(a.childNodes[1].childNodes[0]))};
+sre.ClearspeakUtil.isSimpleNegative_=function(a){return a.type===sre.SemanticAttr.Type.PREFIXOP&&a.role===sre.SemanticAttr.Role.NEGATIVE&&sre.ClearspeakUtil.isSimple_(a.childNodes[0])&&a.childNodes[0].type!==sre.SemanticAttr.Type.PREFIXOP&&a.childNodes[0].type!==sre.SemanticAttr.Type.APPL&&a.childNodes[0].type!==sre.SemanticAttr.Type.PUNCTUATED};
+sre.ClearspeakUtil.isSimpleDegree_=function(a){return a.type===sre.SemanticAttr.Type.PUNCTUATED&&a.role===sre.SemanticAttr.Role.ENDPUNCT&&2===a.childNodes.length&&a.childNodes[1].role===sre.SemanticAttr.Role.DEGREE&&(sre.ClearspeakUtil.isLetter_(a.childNodes[0])||sre.ClearspeakUtil.isNumber_(a.childNodes[0])||a.childNodes[0].type===sre.SemanticAttr.Type.PREFIXOP&&a.childNodes[0].role===sre.SemanticAttr.Role.NEGATIVE&&(sre.ClearspeakUtil.isLetter_(a.childNodes[0].childNodes[0])||sre.ClearspeakUtil.isNumber_(a.childNodes[0].childNodes[0])))};
+sre.ClearspeakUtil.isSimpleLetters_=function(a){return sre.ClearspeakUtil.isLetter_(a)||a.type===sre.SemanticAttr.Type.INFIXOP&&a.role===sre.SemanticAttr.Role.IMPLICIT&&(2===a.childNodes.length&&(sre.ClearspeakUtil.isLetter_(a.childNodes[0])||sre.ClearspeakUtil.isSimpleNumber_(a.childNodes[0]))&&sre.ClearspeakUtil.isLetter_(a.childNodes[1])||3===a.childNodes.length&&sre.ClearspeakUtil.isSimpleNumber_(a.childNodes[0])&&sre.ClearspeakUtil.isLetter_(a.childNodes[1])&&sre.ClearspeakUtil.isLetter_(a.childNodes[2]))};
+sre.ClearspeakUtil.isSimple_=function(a){return a.hasAnnotation("clearspeak","simple")};sre.ClearspeakUtil.isLetter_=function(a){return a.type===sre.SemanticAttr.Type.IDENTIFIER&&(a.role===sre.SemanticAttr.Role.LATINLETTER||a.role===sre.SemanticAttr.Role.GREEKLETTER||a.role===sre.SemanticAttr.Role.OTHERLETTER||a.role===sre.SemanticAttr.Role.SIMPLEFUNC)};sre.ClearspeakUtil.isNumber_=function(a){return a.type===sre.SemanticAttr.Type.NUMBER&&(a.role===sre.SemanticAttr.Role.INTEGER||a.role===sre.SemanticAttr.Role.FLOAT)};
+sre.ClearspeakUtil.isSimpleNumber_=function(a){return sre.ClearspeakUtil.isNumber_(a)||sre.ClearspeakUtil.isSimpleFraction_(a)};
+sre.ClearspeakUtil.isSimpleFraction_=function(a){if(sre.ClearspeakUtil.hasPreference("Fraction_Over")||sre.ClearspeakUtil.hasPreference("Fraction_FracOver")||a.type!==sre.SemanticAttr.Type.FRACTION||a.role!==sre.SemanticAttr.Role.VULGAR)return!1;if(sre.ClearspeakUtil.hasPreference("Fraction_Ordinal"))return!0;var b=parseInt(a.childNodes[0].textContent,10);a=parseInt(a.childNodes[1].textContent,10);return 0<b&&20>b&&0<a&&11>a};
+sre.ClearspeakUtil.hasPreference=function(a){return sre.Engine.getInstance().style===a};sre.ClearspeakUtil.simpleExpression=function(){return new sre.SemanticAnnotator("clearspeak",function(a){return sre.ClearspeakUtil.isSimpleExpression(a)?"simple":""})};sre.ClearspeakUtil.simpleNode=function(a){if(!a.hasAttribute("annotation"))return!1;a=a.getAttribute("annotation");return!!/clearspeak:simple$|clearspeak:simple;/.exec(a)};
+sre.ClearspeakUtil.simpleCell_=function(a){if(sre.ClearspeakUtil.simpleNode(a))return!0;if(a.tagName!==sre.SemanticAttr.Type.SUBSCRIPT)return!1;a=a.childNodes[0].childNodes;var b=a[1];return a[0].tagName===sre.SemanticAttr.Type.IDENTIFIER&&(sre.ClearspeakUtil.isInteger_(b)||b.tagName===sre.SemanticAttr.Type.INFIXOP&&b.hasAttribute("role")&&b.getAttribute("role")===sre.SemanticAttr.Role.IMPLICIT&&sre.ClearspeakUtil.allIndices_(b))};
+sre.ClearspeakUtil.isInteger_=function(a){return a.tagName===sre.SemanticAttr.Type.NUMBER&&a.hasAttribute("role")&&a.getAttribute("role")===sre.SemanticAttr.Role.INTEGER};sre.ClearspeakUtil.allIndices_=function(a){return sre.XpathUtil.evalXPath("children/*",a).every(function(b){return sre.ClearspeakUtil.isInteger_(b)||b.tagName===sre.SemanticAttr.Type.IDENTIFIER})};
+sre.ClearspeakUtil.allCellsSimple=function(a){return sre.XpathUtil.evalXPath(a.tagName===sre.SemanticAttr.Type.MATRIX?"children/row/children/cell/children/*":"children/line/children/*",a).every(sre.ClearspeakUtil.simpleCell_)?[a]:[]};sre.ClearspeakUtil.isSmallVulgarFraction=function(a){return sre.NumbersUtil.vulgarFractionSmall(a,20,11)?[a]:[]};
+sre.ClearspeakUtil.isUnitExpression=function(a){return a.type===sre.SemanticAttr.Type.TEXT||a.type===sre.SemanticAttr.Type.PUNCTUATED&&a.role===sre.SemanticAttr.Role.TEXT&&sre.ClearspeakUtil.isNumber_(a.childNodes[0])&&sre.ClearspeakUtil.allTextLastContent_(a.childNodes.slice(1))||a.type===sre.SemanticAttr.Type.IDENTIFIER&&a.role===sre.SemanticAttr.Role.UNIT||a.type===sre.SemanticAttr.Type.INFIXOP&&(a.role===sre.SemanticAttr.Role.IMPLICIT||a.role===sre.SemanticAttr.Role.UNIT)};
+sre.ClearspeakUtil.allTextLastContent_=function(a){for(var b=0;b<a.length-1;b++)if(a[b].type!==sre.SemanticAttr.Type.TEXT||""!==a[b].textContent)return!1;return a[a.length-1].type===sre.SemanticAttr.Type.TEXT};sre.ClearspeakUtil.unitExpression=function(){return new sre.SemanticAnnotator("clearspeak",function(a){return sre.ClearspeakUtil.isUnitExpression(a)?"unit":""})};
+sre.ClearspeakUtil.ordinalExponent=function(a){var b=parseInt(a.textContent,10);return isNaN(b)?a.textContent:10<b?sre.Messages.NUMBERS.simpleOrdinal(b):sre.Messages.NUMBERS.wordOrdinal(b)};sre.ClearspeakUtil.isCapitalLetter=function(a){return"Lu"===sre.MathCompoundStore.getInstance().lookupCategory(a.textContent)?[a]:[]};sre.ClearspeakUtil.NESTING_DEPTH=null;
+sre.ClearspeakUtil.nestingDepth=function(a){var b=0,c=a.textContent,d="open"===a.getAttribute("role")?0:1;for(a=a.parentNode;a;)a.tagName===sre.SemanticAttr.Type.FENCED&&a.childNodes[0].childNodes[d].textContent===c&&b++,a=a.parentNode;sre.ClearspeakUtil.NESTING_DEPTH=1<b?sre.Messages.NUMBERS.wordOrdinal(b):"";return sre.ClearspeakUtil.NESTING_DEPTH};
+sre.ClearspeakUtil.matchingFences=function(a){var b=a.previousSibling;if(b)var c=a;else b=a,c=a.nextSibling;return c?sre.SemanticAttr.isMatchingFence(b.textContent,c.textContent)?[a]:[]:[]};sre.ClearspeakUtil.insertNesting=function(a,b){if(!b||!a)return a;var c=a.match(/^(open|close) /);return c?c[0]+b+" "+a.substring(c[0].length):b+" "+a};sre.Grammar.getInstance().setCorrection("insertNesting",sre.ClearspeakUtil.insertNesting);
+sre.ClearspeakUtil.fencedArguments=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes),c=sre.XpathUtil.evalXPath("../../children/*",a);b=b.indexOf(a);return sre.ClearspeakUtil.fencedFactor_(c[b])||sre.ClearspeakUtil.fencedFactor_(c[b+1])?[a]:[]};
+sre.ClearspeakUtil.simpleArguments=function(a){var b=sre.DomUtil.toArray(a.parentNode.childNodes),c=sre.XpathUtil.evalXPath("../../children/*",a);b=b.indexOf(a);return sre.ClearspeakUtil.simpleFactor_(c[b])&&c[b+1]&&(sre.ClearspeakUtil.simpleFactor_(c[b+1])||c[b+1].tagName===sre.SemanticAttr.Type.ROOT||c[b+1].tagName===sre.SemanticAttr.Type.SQRT||c[b+1].tagName===sre.SemanticAttr.Type.SUPERSCRIPT&&c[b+1].childNodes[0].childNodes[0]&&(c[b+1].childNodes[0].childNodes[0].tagName===sre.SemanticAttr.Type.NUMBER||
+c[b+1].childNodes[0].childNodes[0].tagName===sre.SemanticAttr.Type.IDENTIFIER)&&("2"===c[b+1].childNodes[0].childNodes[1].textContent||"3"===c[b+1].childNodes[0].childNodes[1].textContent))?[a]:[]};sre.ClearspeakUtil.simpleFactor_=function(a){return!!a&&(a.tagName===sre.SemanticAttr.Type.NUMBER||a.tagName===sre.SemanticAttr.Type.IDENTIFIER||a.tagName===sre.SemanticAttr.Type.FUNCTION||a.tagName===sre.SemanticAttr.Type.APPL||a.tagName===sre.SemanticAttr.Type.FRACTION)};
+sre.ClearspeakUtil.fencedFactor_=function(a){return a&&(a.tagName===sre.SemanticAttr.Type.FENCED||a.hasAttribute("role")&&a.getAttribute("role")===sre.SemanticAttr.Role.LEFTRIGHT||sre.ClearspeakUtil.layoutFactor_(a))};sre.ClearspeakUtil.layoutFactor_=function(a){return!!a&&(a.tagName===sre.SemanticAttr.Type.MATRIX||a.tagName===sre.SemanticAttr.Type.VECTOR)};
+sre.ClearspeakUtil.isHyperbolic=function(a){if(a.tagName===sre.SemanticAttr.Type.APPL){var b=sre.XpathUtil.evalXPath("children/*[1]",a)[0];if(b&&b.tagName===sre.SemanticAttr.Type.FUNCTION&&"Hyperbolic"===sre.MathCompoundStore.getInstance().lookupCategory(b.textContent))return[a]}return[]};
+sre.ClearspeakUtil.isLogarithmWithBase=function(a){if(a.tagName===sre.SemanticAttr.Type.SUBSCRIPT){var b=sre.XpathUtil.evalXPath("children/*[1]",a)[0];if(b&&b.tagName===sre.SemanticAttr.Type.FUNCTION&&"Logarithm"===sre.MathCompoundStore.getInstance().lookupCategory(b.textContent))return[a]}return[]};sre.ClearspeakUtil.wordOrdinal=function(a){return sre.Messages.NUMBERS.wordOrdinal(parseInt(a.textContent,10))};
+sre.ClearspeakUtil.firstCurrency=function(a){var b=sre.XpathUtil.evalXPath("children/*[1]",a)[0];return b&&"currency"===sre.MathCompoundStore.getInstance().lookupCategory(b.textContent+":unit")?[a]:[]};sre.ClearspeakUtil.lastCurrency=function(a){var b=sre.XpathUtil.evalXPath("children/*[last()]",a)[0];return b&&"currency"===sre.MathCompoundStore.getInstance().lookupCategory(b.textContent+":unit")?[a]:[]};
+sre.ClearspeakUtil.addAnnotators=function(){sre.SemanticAnnotations.getInstance().register(sre.ClearspeakUtil.simpleExpression());sre.SemanticAnnotations.getInstance().register(sre.ClearspeakUtil.unitExpression())};sre.ClearspeakFrench={locale:"fr",domain:"clearspeak",functions:[["CTXF","CTXFpauseSeparator",sre.StoreUtil.pauseSeparator],["CTXF","CTXFnodeCounter",sre.ClearspeakUtil.nodeCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CSF","CSFvulgarFraction",sre.NumbersUtil.vulgarFraction],["CQF","CQFvulgarFractionSmall",sre.ClearspeakUtil.isSmallVulgarFraction],["CQF","CQFcellsSimple",sre.ClearspeakUtil.allCellsSimple],["CSF","CSFordinalExponent",sre.ClearspeakUtil.ordinalExponent],["CSF",
+"CSFwordOrdinal",sre.Messages.NUMBERS.wordOrdinal],["CQF","CQFisCapital",sre.ClearspeakUtil.isCapitalLetter],["CQF","CQFmatchingFences",sre.ClearspeakUtil.matchingFences],["CSF","CSFnestingDepth",sre.ClearspeakUtil.nestingDepth],["CQF","CQFfencedArguments",sre.ClearspeakUtil.fencedArguments],["CQF","CQFsimpleArguments",sre.ClearspeakUtil.simpleArguments],["CQF","CQFisHyperbolic",sre.ClearspeakUtil.isHyperbolic],["CQF","CQFisLogarithm",sre.ClearspeakUtil.isLogarithmWithBase],["CQF","CQFspaceoutNumber",
+sre.MathspeakUtil.spaceoutNumber]],rules:['Rule{collapsed{default{[t] "compress\u00e9e"; [n] . (engine:modality=summary,grammar:collapsed){self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),["Rule","stree","default","[n] ./*[1]","self::stree"],["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::number;contains(@grammar, "protected")'.split(";"),["Rule","omit-empty","default",'[p] (pause:"short")',
+"self::empty"],'Rule{font{default{[n] . (grammar:ignoreFont=@font);  [t] @font (grammar:localFont,pause:"short"){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier{default{[n] . (grammar:ignoreFont=@font);  [t] @font (grammar:localFont,pause:"short"){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] self::* (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),
+["Rule","text","default","[n] text()","self::text"],'Rule;capital;default;[n] text() (pitch:0.6,grammar:ignoreCaps="majuscule");self::identifier;@role="latinletter" or @role="greekletter" or @role="simple function";CQFisCapital'.split(";"),'Rule;capital;Caps_SayCaps;[n] text();self::identifier;@role="latinletter" or @role="greekletter";CQFisCapital'.split(";"),'Rule{capital{Caps_SayCaps{[p] (pause:"short"); [n] text(){self::identifier{@role="latinletter" or @role="greekletter"{CQFisCapital{preceding-sibling::*[1]{not(name(preceding-sibling::*[1])="function"){not(contains(@grammar, "angle"))'.split("{"),
+'Rule;capital;Caps_SayCaps;[n] text() (pause:"short");self::identifier;@role="latinletter" or @role="greekletter";CQFisCapital;following-sibling::*[1]'.split(";"),'Rule{capital{Caps_SayCaps{[p] (pause:"short"); [n] text() (pause:"short"){self::identifier{@role="latinletter" or @role="greekletter"{CQFisCapital{preceding-sibling::*[1]{following-sibling::*[1]{not(name(preceding-sibling::*[1])="function"){not(contains(@grammar, "angle"))'.split("{"),'Rule,punctuation-lr,default,[p] (pause:"short"); [n] text() (pause:"short"),self::punctuation,@role="comma"'.split(","),
+'Rule;punctuation;default;[n] text();self::punctuation;@role="comma";not(preceding-sibling::*[1]/children);not(following-sibling::*[1]/children)'.split(";"),'Rule,punctuation-l,default,[p] (pause:"short"); [n] text(),self::punctuation,@role="comma",not(following-sibling::*[1]/children)'.split(","),'Rule;punctuation-r;default;[n] text() (pause:"short");self::punctuation;@role="comma";not(preceding-sibling::*[1]/children)'.split(";"),'Rule;ellipsis;Ellipses_AndSoOn;[t] "et ainsi de suite";self::punctuation;@role="ellipsis";not(following-sibling::*[1]);not(preceding-sibling::*[last()][@role="ellipsis"])'.split(";"),
+'Rule;ellipsis;Ellipses_AndSoOn;[t] "et ainsi de suite jusqu\'\u00e0";self::punctuation;@role="ellipsis";preceding-sibling::*[1];following-sibling::*[1]'.split(";"),'Rule,vbar-evaluated,default,[n] children/*[1]; [p] (pause:"short"); [t] "\u00e9valu\u00e9 \u00e0"; [n] content/*[1]/children/*[2]; [p] (pause:"short"),self::punctuated,@role="endpunct",content/*[1][@role="vbar"],content/*[1][@embellished],name(content/*[1])="subscript"'.split(","),'Rule,vbar-evaluated,default,[n] children/*[1]; [p] (pause:"short"); [t] "\u00e9valu\u00e9 \u00e0"; [n] content/*[1]/children/*[2]; [p] (pause:"short"); [t] "moins la m\u00eame expression \u00e9valu\u00e9e \u00e0"; [n] content/*[1]/children/*[1]/children/*[2]; [p] (pause:"short"),self::punctuated,@role="endpunct",content/*[1][@role="vbar"],content/*[1][@embellished],name(content/*[1])="superscript",name(content/*[1]/children/*[1])="subscript"'.split(","),
+'Rule;vbar-such-that;VerticalLine_SuchThat;[t] "tel que";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;vbar-such-that;VerticalLine_Divides;[t] "diviseur de";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;vbar-such-that;VerticalLine_Given;[t] "sachant";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;set-member;default;[t] "est un";self::operator;@role="set extended";text()="\u2208" or text()="\u220a"'.split(";"),
+["SpecializedRule","set-member","default","SetMemberSymbol_Member",'[t] "appartient \u00e0"'],["SpecializedRule","set-member","default","SetMemberSymbol_Element",'[t] "est un \u00e9l\u00e9ment de"'],["SpecializedRule","set-member","default","SetMemberSymbol_Belongs",'[t] "est dans"'],'Rule;set-not-member;default;[t] "n\'est pas un";self::operator;@role="set extended";text()="\u2209"'.split(";"),["SpecializedRule","set-not-member","default","SetMemberSymbol_Member",'[t] "n\'appartient pas \u00e0"'],
+["SpecializedRule","set-not-member","default","SetMemberSymbol_Element",'[t] "n\'est pas un \u00e9l\u00e9ment de"'],["SpecializedRule","set-not-member","default","SetMemberSymbol_Belongs",'[t] "n\'est pas dans"'],'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"],self::*'.split(","),'Rule,feet,default,[n] children/*[1]; [t] "feet",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2032"],not(preceding-sibling::*[@role="degree"])'.split(","),
+'Rule,foot,default,[n] children/*[1]; [t] "foot",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2032"],children/*[1][text()="1"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,inches,default,[n] children/*[1]; [t] "inches",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2033"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,inch,default,[n] children/*[1]; [t] "inch",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2033"],children/*[1][text()="1"],not(preceding-sibling::*[@role="degree"])'.split(","),
+'Rule,minutes,default,[p] (pause:short); [n] children/*[1]; [t] "minutes",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2032"]'.split(","),'Rule,minute,default,[p] (pause:short); [n] children/*[1]; [t] "minute",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),'Rule,seconds,default,[p] (pause:short); [n] children/*[1]; [t] "seconds",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2033"]'.split(","),
+'Rule,second,default,[p] (pause:short); [n] children/*[1]; [t] "second",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),'Rule,degrees-angle,Prime_Angle,[n] children/*[1]; [t] "degrees"; [p] (pause:short),self::punctuation,@role="degree"'.split(","),'Rule,degree-angle,Prime_Angle,[n] children/*[1]; [t] "degree"; [p] (pause:short),self::punctuation,@role="degree",children/*[1][text()="1"]'.split(","),
+'Rule{minutes-angle{Prime_Angle{[n] children/*[1]; [t] "minutes"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2032"]'.split("{"),'Rule,minute-angle,Prime_Angle,[n] children/*[1]; [t] "minute"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),
+'Rule{seconds-angle{Prime_Angle{[n] children/*[1]; [t] "seconds"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2033"]'.split("{"),'Rule,second-angle,Prime_Angle,[n] children/*[1]; [t] "second"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),
+'Rule{feet-length{Prime_Length{[n] children/*[1]; [t] "feet"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2032"]'.split("{"),'Rule,foot-length,Prime_Length,[n] children/*[1]; [t] "foot"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),
+'Rule{inches-length{Prime_Length{[n] children/*[1]; [t] "inches"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2033"]'.split("{"),'Rule,inch-length,Prime_Length,[n] children/*[1]; [t] "inch"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),
+["Rule","punctuated","default","[m] children/*","self::punctuated"],["Rule","function","default","[n] text()","self::function"],["Rule","appl","default",'[n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:"short")',"self::appl"],'Rule,appl-simple,default,[n] children/*[1]; [t] "de"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="simple function",name(children/*[2])="appl"'.split(","),'Rule,appl-simple,default,[n] children/*[1]; [t] "de"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="simple function",name(children/*[2])="fenced",name(children/*[2]/children/*[1])="appl"'.split(","),
+["Rule","appl","Functions_None",'[p] (pause:"short"); [n] children/*[1]; [t] "fois"; [n] children/*[2]; [p] (pause:"short")',"self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,@role="prefix function"'.split(","),'Rule{binary-operation{ImpliedTimes_MoreImpliedTimes{[n] . (grammar:impliedTimes); [p] (pause:"short"){self::appl{@role="prefix function"{parent::*/parent::infixop[@role="implicit"]{following-sibling::*{not(contains(@grammar, "impliedTimes"))'.split("{"),
+'Rule{function-prefix-simple-arg{default{[n] children/*[1]; [n] children/*[2]{self::appl{@role="prefix function"{name(children/*[2])="fenced"{contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){name(children/*[2]/children/*[1])!="number"{name(children/*[2]/children/*[1])!="identifier"{name(children/*[2]/children/*[1])!="appl"'.split("{"),'Rule,function-prefix-embell,default,[p] (pause:"short"); [n] children/*[1]; [n] children/*[2]; [p] (pause:"short"); ,self::appl,@role="prefix function",name(children/*[1])!="function"'.split(","),
+'Rule{function-prefix-fenced-or-frac-arg{default{[p] (pause:"short"); [n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or name(children/*[2])="fraction" or (name(children/*[2])!="fenced" and not(contains(children/*[2]/@annotation, "clearspeak:simple"))){self::*'.split("{"),'Rule,function-prefix-subscript,default,[p] (pause:"short"); [n] children/*[1]; [t] "de"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",name(children/*[1])="subscript",self::*'.split(","),
+'Rule{function-ln{default{[n] children/*[1]; [n] children/*[2]{self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(following-sibling::*){not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-ln{default{[n] children/*[1]; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-ln{default{[n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{name(children/*[2])="fenced"{not(contains(@grammar, "NatLog"))'.split("{"),
+'Rule;function-ln;Log_LnAsNaturalLog;[n] . (grammar:NatLog);self::appl;@role="prefix function";content/*[2][text()="ln"];not(following-sibling::*);not(contains(@grammar, "NatLog"))'.split(";"),'Rule{function-ln{Log_LnAsNaturalLog{[n] . (grammar:NatLog); [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-prefix-as-exp{default{[n] children/*[1]; [t] "de"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(parent::*/parent::*)="superscript"{not(following-sibling::*){(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or name(children/*[2])="fraction" or (name(children/*[2])!="fenced" and not(contains(children/*[2]/@annotation, "clearspeak:simple")))'.split("{"),
+'Rule,function-prefix-subscript-as-exp,default,[n] children/*[1]; [t] "de"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",name(parent::*/parent::*)="superscript",not(following-sibling::*),name(children/*[1])="subscript"'.split(","),'Rule,function-prefix-hyper,default,[p] (pause:"short"); [n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",CQFisHyperbolic'.split(","),'Rule{function-prefix-inverse{default{[p] (pause:"short");  [n] children/*[1]/children/*[1]; [t] "inverse de"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule{function-prefix-inverse{Trig_Reciprocal{[p] (pause:"short"); [t] "la reciproque de"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule{function-prefix-inverse{Trig_Reciprocal{[p] (pause:"short"); [t] "la reciproque de"; [n] children/*[1]/children/*[1];[n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{contains(children/*[2]/@annotation, "clearspeak:simple"){children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule,appl-triginverse,Trig_TrigInverse,[p] (pause:"short"); [n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",name(children/*[1])="superscript",name(children/*[1]/children/*[2])="prefixop",children/*[1]/children/*[2][@role="negative"],children/*[1]/children/*[2]/children/*[1][text()="1"]'.split(","),'Rule{function-prefix-arc-simple{Trig_ArcTrig{[p] (pause:"short"); [t] "arc"; [n] children/*[1]/children/*[1]; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule{function-prefix-arc-simple{Trig_ArcTrig{[p] (pause:"short"); [t] "arc"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{name(children/*[2])="fenced"{children/*[2]/children/*[1][@role="prefix function"]{contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule{function-prefix-arc{Trig_ArcTrig{[p] (pause:"short"); [t] "arc"; [n] children/*[1]/children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none")){(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or (name(children/*[2])="fraction" and children/*[2][@role!="vulgar"])'.split("{"),
+'Rule{function-inverse{default{[n] children/*[1]; [t] "inverse"{self::superscript{@role="prefix function" or @role="simple function"{name(children/*[2])="prefixop"{children/*[2][@role="negative"]{children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule{function-inverse{Functions_Reciprocal{[t] "la reciproque de"; [n] children/*[1]{self::superscript{@role="prefix function" or @role="simple function"{name(children/*[2])="prefixop"{children/*[2][@role="negative"]{children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule;function-inverse;Functions_None;[n] . (grammar:functions_none);self::superscript;@role="prefix function" or @role="simple function";name(children/*[2])="prefixop";children/*[2][@role="negative"];children/*[2]/children/*[1][text()="1"];not(contains(@grammar, "functions_none"))'.split(";"),["Rule","superscript","default",'[n] children/*[1]; [t] "\u00e0 l\'exposant" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "fin exposant" (pause:"short")',"self::superscript"],'Rule,superscript-simple-exponent,default,[n] children/*[1]; [t] "\u00e0 la puissance"; [n] children/*[2]; [p] (pause:"medium"),self::superscript,not(descendant::superscript)'.split(","),
+'Rule,superscript-simple-exponent,default,[n] children/*[1]; [t] "\u00e0 la puissance"; [n] children/*[2]; [p] (pause:"medium") ,self::superscript,not(descendant::superscript),not(following-sibling::*)'.split(","),'Aliases;superscript-simple-exponent;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="number";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),
+'Aliases;superscript-simple-exponent;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="fraction";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),["Aliases","superscript-simple-exponent","self::superscript",'children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"]','name(children/superscript/children/*[1])="identifier"'],
+'Aliases;superscript-simple-exponent;self::superscript;children/*[2][@role="implicit"];count(children/*[2]/children/*)=2;contains(children/*[2]/children/*[1]/@annotation, "simple");name(children/*[2]/children/*[2])="superscript";(name(children/*[2]/children/*[2]/children/*[1])="number" and contains(children/*[2]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple")) or name(children/*[2]/children/*[2]/children/*[1])="identifier";children/*[2]/children/*[2]/children/*[2][text()="2"] or children/*[2]/children/*[2]/children/*[2][text()="3"]'.split(";"),
+'Rule;superscript-simple-function;Functions_None;[n] . (grammar:functions_none);self::superscript;name(children/*[1])="identifier";children/*[1][@role="simple function"];not(contains(@grammar, "functions_none"))'.split(";"),'Rule,superscript-ordinal,Exponent_Ordinal,[n] children/*[1]; [t] "\u00e0 la"; [n] children/*[2] (grammar:ordinal); [t] "puissance" (pause:"medium"),self::superscript,name(children/*[2])="identifier",children/*[2][@role="latinletter"]'.split(","),'Rule,superscript-ordinal,Exponent_Ordinal,[n] children/*[1]; [t] "\u00e0 la puissance"; [n] children/*[2]; [p] (pause:"medium"),self::superscript,name(children/*[2])="identifier",children/*[2][@role="latinletter"],CQFisCaptial'.split(","),
+'Rule{exponent{default{[n] text() (join:"-"); [t] "i\u00e8me"{self::identifier{contains(@grammar, "ordinal")'.split("{"),'Rule;exponent;default;[t] CSFordinalExponent;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),'Rule;exponent;Exponent_Ordinal;[t] CSFwordOrdinal;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),'Rule;exponent;Exponent_Ordinal;[t] "zero";self::number;@role="integer";contains(@grammar, "ordinal");text()="0"'.split(";"),
+'Rule;exponent;Exponent_OrdinalPower;[t] CSFwordOrdinal;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),'Rule;exponent;Exponent_OrdinalPower;[t] "zero";self::number;@role="integer";contains(@grammar, "ordinal");text()="0"'.split(";"),'Rule,square,default,[n] children/*[1]; [t] "au carr\u00e9",self::superscript,children/*[2][text()="2"],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),self::*,self::*'.split(","),
+'Rule,cube,default,[n] children/*[1]; [t] "au cube",self::superscript,children/*[2][text()="3"],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),self::*,self::*'.split(","),'Rule;paren-simple;default;[n] children/*[1];self::fenced;@role="leftright";contains(children/*[1]/@annotation, "clearspeak:simple");name(../..)!="superscript" and name(../..)!="subscript"'.split(";"),'Rule;paren-simple-exp;default;[n] children/*[1];self::fenced;@role="leftright";name(../..)="superscript";children/*[1][@role="integer"] or children/*[1][@role="float"] or (children/*[1][@role="vulgar"] and contains(children/*[1]/@annotation, "clearspeak:simple")) or children/*[1][@role="latinletter"] or children/*[1][@role="greekletter"] or children/*[1][@role="otherletter"]'.split(";"),
+'Rule;paren-simple-nested-func;default;[n] children/*[1];self::fenced;@role="leftright";name(../*[1])="identifier" or name(../*[1])="function";parent::*/parent::*[@role="simple function" or @role="prefix function"];children/*[1][@role="simple function" or @role="prefix function"];contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple") or name(children/*[1]/children/*[2]/children/*[1])="subscript" or name(children/*[1]/children/*[2]/children/*[1])="superscript" or children/*[1]/children/*[2]/children/*[1][@role="vulgar"] '.split(";"),
+'Rule{paren-simple-nested-func-no-bracket{Functions_None{[n] children/*[1];{self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{children/*[1][@role="simple function" or @role="prefix function"]{name(children/*[1]/children/*[1])="identifier" or name(children/*[1]/children/*[1])="function"{contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){name(children/*[1]/children/*[2]/children/*[1])="identifier" or name(children/*[1]/children/*[2]/children/*[1])="number"'.split("{"),
+'Rule,fences-open-close,default,[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"),self::fenced,@role="leftright"'.split(","),'Rule{paren-simple-nested-func{default{[p] (pause:"short"); [n] content/*[1]; [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2]; [p] (pause:"short"){self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{not(contains(children/*[1]/@annotation, "clearspeak:simple"))'.split("{"),
+'Rule{paren-simple-nested-func{Functions_None{[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"){self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{children/*[1][@role="simple function" or @role="prefix function"]{contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple") or name(children/*[1]/children/*[2]/children/*[1])="subscript" or name(children/*[1]/children/*[2]/children/*[1])="superscript" or children/*[1]/children/*[2]/children/*[1][@role="vulgar"] '.split("{"),
+["SpecializedRule","fences-open-close","default","Paren_Speak"],["Aliases","fences-open-close","self::fenced",'@role="composed function"'],["Rule","fence-silent","Paren_Silent",'[p] (pause:"short"); [n] children/*[1]; [p] (pause:"short")',"self::fenced"],'Rule,fences-open-close,ImpliedTimes_None,[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"),self::fenced,@role="leftright",parent::*/parent::*[@role!="simple function"],parent::*/parent::*[@role!="prefix function"]'.split(","),
+'Rule;fence-nesting;Paren_SpeakNestingLevel;[n] text() (grammar:insertNesting=CSFnestingDepth);self::fence;contains(@grammar, "spokenFence");CQFmatchingFences'.split(";"),["Rule","fence-no-nesting","Paren_SpeakNestingLevel","[n] text()","self::fence"],'Rule,fences-points,Paren_CoordPoint,[t] "le point avec coordon\u00e9es"; [n] children/*[1],self::fenced,name(children/*[1])="punctuated",children/*[1][@role="sequence"]'.split(","),'Rule{fences-interval{Paren_Interval{[t] "un intervalle de"; [n] children/*[1]/children/*[1]; [t] "\u00e0"; [n] children/*[1]/children/*[3]; [p] (pause:"short"); [n] . (grammar:interval){self::fenced{not(contains(@grammar, "interval")){name(children/*[1])="punctuated"{children/*[1][@role="sequence"]{count(./children/*[1]/content/*)=1{children/*[1]/content/*[1][@role="comma"]'.split("{"),
+'Rule{interval-open{Paren_Interval{[t] "sans inclure"; [n] children/*[1]/children/*[1]; [t] "ni"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"'.split("{"),'Rule{interval-closed-open{Paren_Interval{[t] "avec"; [n] children/*[1]/children/*[1]; [t] "inclus"; [p] (pause:"short"); [t] "mais sans inclure"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()=")"'.split("{"),
+'Rule{interval-open-closed{Paren_Interval{[t] "sans inclure"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [t] "mais avec"; [n] children/*[1]/children/*[3]; [t] "inclus"{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()="]"'.split("{"),'Rule{interval-closed{Paren_Interval{[t] "avec"; [n] children/*[1]/children/*[1]; [t] "et"; [n] children/*[1]/children/*[3]; [t] "inclus"{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()="]"'.split("{"),
+'Rule{interval-open-inf-r{Paren_Interval{[t] "sans inclure"; [n] children/*[1]/children/*[1]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"{children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e")'.split("{"),'Rule{interval-open-inf-l{Paren_Interval{[t] "sans inclure"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"{children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split("{"),
+'Rule;interval-open-inf-lr;Paren_Interval;;self::fenced;contains(@grammar, "interval");content/*[1]/text()="(";content/*[2]/text()=")";children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e");children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split(";"),'Rule{interval-closed-open-inf{Paren_Interval{[t] "avec"; [n] children/*[1]/children/*[1]; [t] "inclus"{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()=")"{children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e")'.split("{"),
+'Rule{interval-open-closed-inf{Paren_Interval{[t] "avec"; [n] children/*[1]/children/*[3]; [t] "inclus"{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()="]"{children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split("{"),'Rule,paren-nested-embellished-funcs,Functions_None,[p] (pause:"short"); [n] content/*[1]; [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2]; [p] (pause:"short"),self::fenced,@role="leftright",name(../..)="appl",name(children/*[1]) = "appl",preceding-sibling::*/descendant-or-self::*[@role="subsup"] or children/*[1]/descendant-or-self::*[@role="subsup"]'.split(","),
+'Rule;set-empty;default;[t] "ensemble vide";self::fenced;@role="set empty"'.split(";"),'Rule,set-extended,default,[t] "ensemble des"; [n] children/*[1]/children/*[1]; [t] "tel que"; [n] children/*[1]/children/*[3],self::fenced,@role="set extended"'.split(","),'Rule,set-collection,default,[t] "ensemble"; [n] children/*[1],self::fenced,@role="set collection"'.split(","),["Aliases","set-collection","self::fenced",'@role="set singleton"'],'Rule,set-extended,Sets_woAll,[t] "ensemble de"; [n] children/*[1]/children/*[1]; [t] "tel que"; [n] children/*[1]/children/*[3],self::fenced,@role="set extended"'.split(","),
+'Rule;set-collection;Sets_SilentBracket;[n] children/*[1];self::fenced;@role="set collection"'.split(";"),["Rule","subscript","default",'[p] (pause:short); [n] children/*[1]; [t] "sub"; [n] children/*[2]; [p] (pause:short)',"self::subscript"],'Rule,subscript-base,default,[n] children/*[1]; [t] "base"; [n] children/*[2],self::subscript,CQFisLogarithm'.split(","),'Rule{subscript-index{default{[n] children/*[1]; [t] "sub"; [n] children/*[2]{self::subscript{contains(@grammar, "simpleDet")'.split("{"),
+["Rule","fraction","default",'[p] (pause:short); [t] "fraction avec num\u00e9rateur"; [n] children/*[1]; [p] (pause:short); [t] "et d\u00e9nominateur"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],'Rule,fraction,Functions_None,[p] (pause:short); [t] "fraction avec num\u00e9rateur"; [n] children/*[1]; [p] (pause:short); [t] "et d\u00e9nominateur"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="appl" or name(children/*[2])="appl"'.split(","),'Rule{simple-fraction{default{[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short){self::fraction{contains(children/*[1]/@annotation, "clearspeak:simple") or contains(children/*[1]/@annotation, "clearspeak:unit"){contains(children/*[2]/@annotation, "clearspeak:simple") or contains(children/*[2]/@annotation, "clearspeak:unit")'.split("{"),
+'Rule,simple-vulgar-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short),self::fraction,@role="vulgar"'.split(","),'Rule,simple-text-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="text",name(children/*[2])="text"'.split(","),'Rule,simple-text-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="infixop",children/*[1][@role="unit"],name(children/*[2])="text"'.split(","),
+'Rule;vulgar-fraction;default;[t] CSFvulgarFraction;self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["Rule","fraction","Fraction_Over",'[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_OverEndFrac",'[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short); [t] "fin fraction"; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_FracOver",'[p] (pause:short); [t] "fraction"; [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short)',
+"self::fraction"],["Rule","fraction","Fraction_Per",'[p] (pause:short); [n] children/*[1]; [t] "par"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_GeneralEndFrac",'[p] (pause:short); [t] "fraction avec num\u00e9rateur"; [n] children/*[1]; [p] (pause:short); [t] "et d\u00e9nominateur"; [n] children/*[2]; [p] (pause:short); [t] "fin fraction"; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_General",'[p] (pause:short); [t] "fraction avec num\u00e9rateur"; [n] children/*[1]; [p] (pause:short); [t] "et d\u00e9nominateur"; [n] children/*[2]; [p] (pause:short)',
+"self::fraction"],'Rule;simple-vulgar-fraction;Fraction_Ordinal;[t] CSFvulgarFraction;self::fraction;@role="vulgar"'.split(";"),'Rule{fraction{Fraction_EndFrac{[p] (pause:short); [n] . (grammar:endfrac); [t] "fin fraction"; [p] (pause:short){self::fraction{not(contains(@grammar, "endfrac")){not(contains(children/*[1]/@annotation, "clearspeak:unit")){not(contains(children/*[2]/@annotation, "clearspeak:unit"))'.split("{"),'Rule{vulgar-fraction{Fraction_EndFrac{[p] (pause:short); [n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short){self::fraction{name(children/*[1])="fraction"{name(children/*[2])="fraction"{contains(children/*[1]/@annotation, "clearspeak:simple"){contains(children/*[2]/@annotation, "clearspeak:simple")'.split("{"),
+'Rule;simple-vulgar-fraction;Fraction_EndFrac;[t] CSFvulgarFraction;self::fraction;@role="vulgar";contains(@annotation, "clearspeak:simple");self::*'.split(";"),["Rule","sqrt","default",'[t] "la racine carr\u00e9e de"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short)',"self::sqrt"],'Rule,sqrt-nested,default,[p] (pause: "short"); [t] "la racine carr\u00e9e de"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),
+'Rule,negative-sqrt,default,[t] "la racine carr\u00e9e n\u00e9gative de"; [n] children/*[1]/children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::prefixop,@role="negative",name(children/*[1])="sqrt"'.split(","),'Rule,negative-sqrt,default,[p] (pause: "short"); [t] "la racine carr\u00e9e n\u00e9gative de"; [n] children/*[1]/children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::prefixop,@role="negative",name(children/*[1])="sqrt",not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),
+'Rule,sqrt-plus-minus,Roots_PosNegSqRoot,[t] "la racine carr\u00e9e positive de"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),'Rule,sqrt-nested-plus-minus,Roots_PosNegSqRoot,[p] (pause: "short"); [t] "la racine carr\u00e9e positive de"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),
+'Rule,sqrt-plus-minus,Roots_PosNegSqRootEnd,[t] "la racine carr\u00e9e positive de"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),'Rule,sqrt-nested-plus-minus,Roots_PosNegSqRootEnd,[p] (pause: "short"); [t] "la racine carr\u00e9e positive de"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),
+'Rule{sqrt-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "fin racine"; [p] (pause:short){self::sqrt{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{negative-sqrt-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "fin racine"; [p] (pause:short){self::prefixop{@role="negative"{name(children/*[1])="sqrt"{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{sqrt-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "fin racine"; [p] (pause:short){self::sqrt{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule{negative-sqrt-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "fin racine"; [p] (pause:short){self::prefixop{@role="negative"{name(children/*[1])="sqrt"{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule,cube,default,[t] "la racine cubique de"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,children/*[1][text()="3"]'.split(","),'Rule,cube-nested,default,[p] (pause:short); [t] "la racine cubique de"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,children/*[1][text()="3"],not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),
+["Rule","root","default",'[t] "la"; [n] children/*[1] (grammar:ordinal); [t] "racine de"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short)',"self::root"],'Rule,root-nested,default,[p] (pause:short); [t] "la"; [n] children/*[1] (grammar:ordinal); [t] "racine de"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),'Rule{root-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "fin racine"; [p] (pause:short){self::root{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule{root-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "fin racine"; [p] (pause:short){self::root{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule,negative,default,[t] "n\u00e9gatif"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),'Rule,positive,default,[t] "positif"; [n] children/*[1],self::prefixop,@role="positive"'.split(","),'Rule,angle-measure,default,[t] "la mesure de l\'" (join:""); [n] content/*[1]; [n] children/*[2] (grammar:angle),self::infixop,content/*[1]/text()="\u2220",children/*[1][text()="m"]'.split(","),
+["Rule","prefix","default","[m] content/* (grammar:prefix); [n] children/*[1]","self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [m] content/* (grammar:postfix)","self::postfixop"],'Rule{set-prefix-operators{default{[t] "le"; [n] self::* (grammar:!prefix); [t] "de"{self::*{contains(@grammar,"prefix"){descendant-or-self::*/text()="\u2229" or descendant-or-self::*/text()="\u222a"{self::*{self::*{self::*'.split("{"),["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);",
+"self::infixop"],'Rule,binary-operation,ImpliedTimes_MoreImpliedTimes,[m] children/* (sepFunc:CTXFcontentIterator);,self::infixop,@role="implicit"'.split(","),'Rule,binary-operation-pause,default,[p] (pause:short); [m] children/* (sepFunc:CTXFcontentIterator);,self::infixop,@role="implicit",name(children/*[1])="appl"'.split(","),'Rule,binary-operation-pause,default,[m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:short),self::infixop,@role="implicit",name(children/*[last()])="appl"'.split(","),
+'Rule,binary-operation-pause,default,[p] (pause:short); [m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:short),self::infixop,@role="implicit",name(children/*[1])="appl",name(children/*[last()])="appl"'.split(","),'Rule;implicit-times;default;[p] (pause:short);self::operator;@role="multiplication";text()="\u2062"'.split(";"),'Rule implicit-times default  self::operator @role="multiplication" text()="\u2062" CQFsimpleArguments'.split(" "),'Rule;implicit-times;default;[n] text();self::operator;@role="multiplication";text()="\u2062";CQFfencedArguments'.split(";"),
+'Rule;implicit-times;ImpliedTimes_MoreImpliedTimes;[n] text();self::operator;@role="multiplication";text()="\u2062"'.split(";"),'Rule implicit-times ImpliedTimes_None  self::operator @role="multiplication" text()="\u2062"'.split(" "),'Rule{binary-operation-simple{default{[m] children/* (rate:"0.5"); [p] (pause:short){self::infixop{@role="implicit"{contains(@annotation, "clearspeak:simple"){not(contains(@grammar, "inFrac"))'.split("{"),'Rule;simple-in-fraction;default;[n] . (rate:"0.5",grammar:inFrac);self::*;contains(@annotation, "clearspeak:simple");not(contains(@grammar, "inFrac"));name(.)!="identifier";name(.)!="function";name(.)!="number";name(parent::*/parent::*)="fraction";not(preceding-sibling::*)'.split(";"),
+'Rule;operators-after-power;Exponent_AfterPower;[m] children/* (rate:"0.5");self::infixop;@role="implicit";contains(@grammar, "afterPower")'.split(";"),["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],'Rule;natural-numbers;default;[t] "les nombres entier naturel";self::identifier;text()="\u2115" or (text()="N" and @font="double-struck");self::*;self::*;self::*'.split(";"),
+'Rule;integers;default;[t] "les nombres entiers";self::identifier;text()="\u2124" or (text()="Z" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule;rational-numbers;default;[t] "les Nombres rationnels";self::identifier;text()="\u211a" or (text()="Q" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule;real-numbers;default;[t] "les nombres r\u00e9els";self::identifier;text()="\u211d" or (text()="R" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule;complex-numbers;default;[t] "les nombres complexes";self::identifier;text()="\u2102" or (text()="C" and @font="double-struck");self::*;self::*;self::*'.split(";"),
+'Rule,natural-numbers-super,default,[t] "n" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2115" or (children/*[1]/text()="N" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule,integers-super,default,[t] "z" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule,rational-numbers-super,default,[t] "q" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck"),self::*,self::*,self::*'.split(","),
+'Rule,real-numbers-super,default,[t] "r" (join:"-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u211d" or (children/*[1]/text()="R" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule,complex-numbers-super,default,[t] "c" (join:"-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2102" or (children/*[1]/text()="C" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule;natural-numbers-with-zero;default;[t] "les nombres entiers naturel avec zero";self::subscript;children/*[1]/text()="\u2115" or (children/*[1]/text()="N" and @font="double-struck");children/*[2]/text()="0"'.split(";"),
+'Rule;positive-integers;default;[t] "les nombres entiers positif";self::superscript;children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck");children/*[2]/text()="+";self::*;self::*;self::*'.split(";"),'Rule;positive-integers;default;[t] "les nombres entiers n\u00e9gatif";self::superscript;children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck");children/*[2]/text()="-";self::*;self::*;self::*'.split(";"),'Rule;positive-rational-numbers;default;[t] "les nombres rationnels positif";self::superscript;children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck");children/*[2]/text()="+";self::*;self::*;self::*'.split(";"),
+'Rule;negative-rational-numbers;default;[t] "les nombres rationnels n\u00e9gatif";self::superscript;children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck");children/*[2]/text()="-";self::*;self::*;self::*'.split(";"),'Rule,fences-neutral,default,[p] (pause:short); [t] "la valeur absolue de"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),'Rule,fences-neutral,AbsoluteValue_AbsEnd,[p] (pause:short); [t] "la valeur absolue de"; [n] children/*[1]; [p] (pause: short); [t] "fin de valeur absolue"; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+'Rule,fences-neutral,AbsoluteValue_Cardinality,[p] (pause:short); [t] "la cardinalit\u00e9 de"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),'Rule,fences-neutral,AbsoluteValue_Determinant,[p] (pause:short); [t] "le d\u00e9terminant de"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["Rule","matrix","default",'[t] "la matrice de dimension"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:"); [p] (pause:long)',"self::matrix"],'Rule{matrix-simple{default{[t] "la matrice de dimension"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*);  [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:",grammar:simpleDet); [p] (pause:long){self::matrix{count(children/*)<4{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+'Rule,matrix-trivial,default,[t] "la matrice de dimension 1 par 1 avec \u00e9l\u00e9ment"; [n] children/*[1]; [p] (pause:long),self::vector,@role="squarematrix"'.split(","),'Rule{determinant{default{[t] "le d\u00e9terminant de la matrice de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="determinant"{count(children/*)<4{CQFcellsSimple'.split("{"),
+'Rule{determinant-simple{default{[t] "le d\u00e9terminant de la matrice de dimension"; [t] count(children/*);  [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:"); [p] (pause:long){self::matrix{@role="determinant"'.split("{"),["Rule","matrix-vector","default",'[t] "la matrice colonne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:",grammar:simpleDet); [p] (pause:long)',
+"self::vector"],["SpecializedRule","matrix-vector","default","Matrix_SpeakColNum"],'Rule{matrix-vector-simple{default{[t] "la matrice colonne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::vector{count(children/*)<4{CQFcellsSimple{@role!="squarematrix"'.split("{"),["Rule","matrix-vector-simple","Matrix_SilentColNum",'[t] "la matrice colonne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long)',
+"self::vector"],'Rule{matrix-row-vector{default{[t] "la matrice ligne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/*[1]/children/* (ctxtFunc:CTXFnodeCounter,context:"colonne-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),["SpecializedRule","matrix-row-vector","default","Matrix_SpeakColNum"],'Rule{matrix-row-vector-simple{default{[t] "la matrice ligne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+'Rule{matrix-row-vector-simple{Matrix_SilentColNum{[t] "la matrice ligne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),'Rule;matrix-row-simple;default;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short");self::row;contains(@grammar, "simpleDet")'.split(";"),["Rule","matrix-row-simple",
+"Matrix_SilentColNum",'[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short")',"self::row"],'Rule;line-simple;default;[n] children/*[1];self::line;contains(@grammar, "simpleDet")'.split(";"),["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"colonne-,- ",sepFunc:CTXFpauseSeparator,separator:"medium"); [p] (pause:long)',"self::row"],["SpecializedRule","matrix-row","default","Matrix_SpeakColNum"],["Rule","matrix-cell","default","[n] children/*[1]","self::cell"],
+'Rule{matrix-end-matrix{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "fin matrice"{self::matrix{not(contains(@grammar, "EndMatrix"))'.split("{"),'Rule{matrix-end-vector{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "fin matrice"{self::vector{not(contains(@grammar, "EndMatrix"))'.split("{"),'Rule{matrix-end-determinant{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "fin d\u00e9terminant"{self::matrix{@role="determinant"{not(contains(@grammar, "EndMatrix"))'.split("{"),["Rule","vector","Matrix_Vector",
+'[t] "le vecteur colonne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:",grammar:simpleDet); [p] (pause:long)',"self::vector"],["SpecializedRule","vector","Matrix_Vector","Matrix_EndVector"],'Rule{vector-simple{Matrix_Vector{[t] "le vecteur colonne de dimension"; [t] count(children/*); [t] "par";  [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::vector{count(children/*)<4{CQFcellsSimple'.split("{"),
+["SpecializedRule","vector-simple","Matrix_Vector","Matrix_EndVector"],'Rule{row-vector{Matrix_Vector{[t] "le vecteur ligne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/*[1]/children/* (ctxtFunc:CTXFnodeCounter,context:"colonne-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),["SpecializedRule","row-vector","Matrix_Vector","Matrix_EndVector"],'Rule{row-vector-simple{Matrix_Vector{[t] "le vecteur ligne de dimension"; [t] count(children/*); [t] "par"; [t] count(children/*[1]/children/*); [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+["SpecializedRule","row-vector-simple","Matrix_Vector","Matrix_EndVector"],'Rule{vector-end-matrix{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "fin matrice"{self::matrix{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule{vector-end-vector{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "fin vecteur"{self::vector{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule{vector-end-vector{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "fin vecteur"{self::matrix{@role="rowvector"{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),
+'Rule{vector-end-determinant{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "fin d\u00e9terminant"{self::matrix{@role="determinant"{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule,binomial,Matrix_Combinatoric,[n] children/*[2]/children/*[1]; [t] "parmi"; [n] children/*[1]/children/*[1]; ,self::vector,@role="binomial"'.split(","),'Rule{lines-summary{default{[p] (pause:short); [t] count(children/*); [t] "lignes";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary")){self::*'.split("{"),
+'Rule;lines-summary;MultiLineOverview_None;[n] . (grammar:layoutSummary);self::multiline;not(contains(@grammar, "layoutSummary"));self::*'.split(";"),["Aliases","lines-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],'Rule{cases-summary{default{[p] (pause:short); [t] count(children/*); [t] "cas";  [n] . (grammar:layoutSummary){self::cases{not(contains(@grammar, "layoutSummary"))'.split("{"),'Rule;cases-summary;MultiLineOverview_None;[n] . (grammar:layoutSummary);self::cases;not(contains(@grammar, "layoutSummary"));self::*'.split(";"),
+["Rule","lines","default",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Ligne-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',"self::table"],["Aliases","lines","self::multiline"],["Rule","line","default","[n] children/*[1]","self::line"],'Rule;row-medium;default;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"medium");self::row;@role="table"'.split(";"),["Aliases","row-medium","self::row",'@role="cases"'],'Rule;row-long;MultiLinePausesBetweenColumns_Long;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"long");self::row;@role="table"'.split(";"),
+["Aliases","row-long","self::row",'@role="cases"'],'Rule;row-short;MultiLinePausesBetweenColumns_Short;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short");self::row;@role="table"'.split(";"),["Aliases","row-short","self::row",'@role="cases"'],'Rule;blank-cell;default;[t] "vide";self::cell;count(children/*)=0'.split(";"),'Rule;blank-empty;default;[t] "vide";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),["Rule","cases","default",'[p] (pause:short);  [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Cas-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::cases"],'Rule{lines-cases-summary{MultiLineLabel_Case{[p] (pause:short); [t] count(children/*); [t] "cas";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-cases-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-cases","MultiLineLabel_Case",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Cas-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',"self::table"],
+["Aliases","lines-cases","self::multiline"],'Rule{lines-equations-summary{MultiLineLabel_Equation{[p] (pause:short); [t] count(children/*); [t] "\u00e9quations";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-equations-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-equations","MultiLineLabel_Equation",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"\u00c9quation-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-equations","self::multiline"],'Rule{lines-steps-summary{MultiLineLabel_Step{[p] (pause:short); [t] count(children/*); [t] " \u00e9tapes";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-steps-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-steps","MultiLineLabel_Step",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:" \u00c9tape-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-steps","self::multiline"],'Rule{lines-rows-summary{MultiLineLabel_Row{[p] (pause:short); [t] count(children/*); [t] "colonnes";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-rows-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-rows","MultiLineLabel_Row",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"rang\u00e9e-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-rows","self::multiline"],'Rule{lines-constraints-summary{MultiLineLabel_Constraint{[p] (pause:short); [t] count(children/*); [t] "contraintes";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-constraints-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-constraints","MultiLineLabel_Constraint",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Contrainte-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-constraints","self::multiline"],'Rule{lines-none{MultiLineLabel_None{[p] (pause:short); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long){self::table{contains(@grammar, "layoutSummary")'.split("{"),["Aliases","lines-none","self::multiline",'contains(@grammar, "layoutSummary")'],["Aliases","lines-none","self::cases",'contains(@grammar, "layoutSummary")'],["Rule","bigop","default",'[t] "le"; [n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:short)',
+"self::bigop"],["Rule","limboth","default",'[n] children/*[1]; [t] "de"; [n] children/*[2];[t] "\u00e0"; [n] children/*[3];',"self::limboth"],["Rule","limlower","default",'[n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short)',"self::limlower"],["Rule","limupper","default",'[n] children/*[1]; [t] "sous"; [n] children/*[2]; [p] (pause:short)',"self::limupper"],["Rule","integral","default",'[t] "le"; [n] children/*[1]; [t] "de"; [n] children/*[2]; [p] (pause:short)',"self::integral"],["Rule",
+"overscript","default",'[n] children/*[1]; [t] "sous"; [n] children/*[2]; [p] (pause:short)',"self::overscore"],'Rule,overscript,default,[n] children/*[1]; [n] children/*[2];,self::overscore,children/*[2][@role="overaccent"]'.split(","),'Rule,overscript-limits,default,[n] children/*[1]; [t] "\u00e0"; [n] children/*[2],self::overscore,children/*[2][@role!="overaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role!="underaccent"]'.split(","),["Rule","underscript","default",'[n] children/*[1]; [t] "sur"; [n] children/*[2]; [p] (pause:short)',
+"self::underscore"],'Rule,underscript-limits,default,[n] children/*[1]; [t] "de"; [n] children/*[2],self::underscore,@role="underover",children/*[2][@role!="underaccent"]'.split(","),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "et"; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),'Rule{number-with-chars{default{[t] "nombre"; [m] CQFspaceoutNumber (grammar:protected){self::number{@role="othernumber"{"" != translate(text(), "0123456789.,", ""){not(contains(@grammar, "protected"))'.split("{"),
+'Rule,decimal-period,default,[t] "la d\u00e9cimale"; [n] children/*[1] (grammar:spaceout); [t] "virgule suivi par les chiffres r\u00e9p\u00e9t\u00e9s";  [n] children/*[3]/children/*[1] (grammar:spaceout),self::punctuated,@role="sequence",count(./content/*)=1,./content/*[1][@role="fullstop"],name(children/*[1])="number",children/*[1][@role="integer"],name(children/*[3])="overscore",children/*[3][@role="integer"],children/*[3]/children/*[2][@role="overaccent"],children/*[3]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,decimal-period,default,[t] "la d\u00e9cimale"; [n] children/*[1] (grammar:spaceout); [t] "suivi par les chiffres r\u00e9p\u00e9t\u00e9s";  [n] children/*[2]/children/*[1] (grammar:spaceout);,self::infixop,@role="implicit",count(./children/*)=2,name(children/*[1])="number",children/*[1][@role="float"],name(children/*[2])="overscore",children/*[2][@role="integer"],children/*[2]/children/*[2][@role="overaccent"],children/*[2]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,decimal-period-singular,default,[t] "la d\u00e9cimale"; [n] children/*[1] (grammar:spaceout); [t] "virgule suivi par le chiffre r\u00e9p\u00e9t\u00e9";  [n] children/*[3]/children/*[1] (grammar:spaceout),self::punctuated,@role="sequence",count(./content/*)=1,./content/*[1][@role="fullstop"],name(children/*[1])="number",children/*[1][@role="integer"],name(children/*[3])="overscore",children/*[3][@role="integer"],children/*[3]/children/*[2][@role="overaccent"],children/*[3]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],string-length(./children/*[3]/children/*[1]/text())=1'.split(","),
+'Rule,decimal-period-singular,default,[t] "la d\u00e9cimale"; [n] children/*[1] (grammar:spaceout); [t] "suivi par le chiffre r\u00e9p\u00e9t\u00e9";  [n] children/*[2]/children/*[1] (grammar:spaceout);,self::infixop,@role="implicit",count(./children/*)=2,name(children/*[1])="number",children/*[1][@role="float"],name(children/*[2])="overscore",children/*[2][@role="integer"],children/*[2]/children/*[2][@role="overaccent"],children/*[2]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],string-length(./children/*[2]/children/*[1]/text())=1'.split(","),
+'Rule;number-with-spaces;default;[m] CQFspaceoutNumber (grammar:!spaceout:number);self::number;contains(@grammar, "spaceout")'.split(";"),'Rule;decimal-point;default;[t] "point";self::punctuation;@role="fullstop";contains(@grammar,"number")'.split(";"),'Rule,line-segment,default,[t] "le segment"; [n] children/*[1]/children/*[1]; [n] children/*[1]/children/*[2]; [p] (pause:short),self::overscore,@role="implicit",children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],name(children/*[1])="infixop",count(./children/*[1]/children/*)=2'.split(","),
+'Rule,conjugate,Bar_Conjugate,[t] "le complexe conjugu\u00e9 de"; [n] children/*[1],self::overscore,children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),'Rule;defined-by;default;[t] "est d\u00e9fini par" (pause:short);self::overscore;@role="equality";@embellished="relation";name(children/*[2])="text";children/*[2][text()]="def"'.split(";"),'Rule,adorned-sign,default,[t] "signe"; [n] children/*[1] ; [t] "avec"; [n] children/*[2]; [t] "dessus",self::overscore,@embellished,name(children/*[1])="operator" or name(children/*[1])="relation"'.split(","),
+'Rule;factorial;default;[t] "factorielle";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),["Rule","tensor-base","default","[n] children/*[2]; [n] children/*[3]; [n] children/*[1]; [n] children/*[4]; [n] children/*[5]","self::tensor"],'Rule{left-super{default{[t] "exposant gauche"; [n] text(){self::*[@role="leftsuper"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{left-super{default{[t] "exposant gauche"; [m] children/*{self::punctuated{@role="leftsuper"{not(contains(@grammar,"combinatorics"))'.split("{"),
+'Rule{left-sub{default{[t] "indice gauche"; [n] text(){self::*[@role="leftsub"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{left-sub{default{[t] "indice gauche"; [m] children/*{self::punctuated{@role="leftsub"{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-super{default{[t] "exposant droite"; [n] text(){self::*[@role="rightsuper"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-super{default{[t] "exposant droite"; [m] children/*{self::punctuated{@role="rightsuper"{not(contains(@grammar,"combinatorics"))'.split("{"),
+'Rule{right-sub{default{[t] "indice droite"; [n] text(){self::*[@role="rightsub"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-sub{default{[t] "indice droite"; [m] children/*{self::punctuated{@role="rightsub"{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule;empty-index;default;[p] (pause:medium);self::empty;@role="rightsub" or @role="rightsuper" or @role="leftsub" or @role="leftsuper"'.split(";"),'Rule,combinatorics,default,[n] children/*[2] (grammar:combinatorics); [n] children/*[1]; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="P" or text()="C"]'.split(","),
+'Rule,choose,CombinationPermutation_ChoosePermute,[t] "combinaison de"; [n] children/*[3] (grammar:combinatorics); [t] "parmi"; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="C"]'.split(","),'Rule,permute,CombinationPermutation_ChoosePermute,[t] "permutation de"; [n] children/*[2] (grammar:combinatorics); [t] "parmi"; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="P"]'.split(",")]};
+sre.Grammar.getInstance().setPreprocessor("numbers2alpha",sre.ClearspeakUtil.numbersToAlpha);sre.ClearspeakGerman={locale:"de",domain:"clearspeak",functions:[["CTXF","CTXFpauseSeparator",sre.StoreUtil.pauseSeparator],["CTXF","CTXFnodeCounter",sre.ClearspeakUtil.nodeCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CSF","CSFvulgarFraction",sre.NumbersUtil.vulgarFraction],["CQF","CQFvulgarFractionSmall",sre.ClearspeakUtil.isSmallVulgarFraction],["CQF","CQFcellsSimple",sre.ClearspeakUtil.allCellsSimple],["CSF","CSFwordOrdinal",sre.ClearspeakUtil.wordOrdinal],["CQF","CQFisCapital",
+sre.ClearspeakUtil.isCapitalLetter],["CQF","CQFmatchingFences",sre.ClearspeakUtil.matchingFences],["CSF","CSFnestingDepth",sre.ClearspeakUtil.nestingDepth],["CQF","CQFfencedArguments",sre.ClearspeakUtil.fencedArguments],["CQF","CQFsimpleArguments",sre.ClearspeakUtil.simpleArguments],["CQF","CQFisHyperbolic",sre.ClearspeakUtil.isHyperbolic],["CQF","CQFisLogarithm",sre.ClearspeakUtil.isLogarithmWithBase],["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber]],rules:['Rule{collapsed{default{[t] "kollapiert"; [n] . (engine:modality=summary,grammar:collapsed){self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),
+["Rule","stree","default","[n] ./*[1]","self::stree"],["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::number;contains(@grammar, "protected")'.split(";"),["Rule","omit-empty","default",'[p] (pause:"short")',"self::empty"],'Rule{font{default{[t] @font (grammar:localFont); [n] self::* (grammar:ignoreFont=@font,pause:"short"){self::*{name(self::*)!="number"{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),["SpecializedRule","font",
+"default","Caps_SayCaps"],'Rule{font-number{default{[t] @font (grammar:localFontNumber); [n] . (grammar:ignoreFont=@font){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] self::* (grammar:ignoreFont=@font,pause:"short"){self::identifier{string-length(text())=1 or string-length(text())=2{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),["SpecializedRule","font-identifier",
+"default","Caps_SayCaps"],'Rule;omit-font;default;[n] self::* (grammar:ignoreFont=@font);self::identifier;string-length(text())=1 or string-length(text())=2;@font;not(contains(@grammar, "ignoreFont"));@font="italic";self::*'.split(";"),["SpecializedRule","omit-font","default","Caps_SayCaps"],'Rule{font-double-struck{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont){self::*{name(self::*)!="number"{string-length(text())=1 or string-length(text())=2{@font{not(contains(@grammar, "ignoreFont")){@font="double-struck"'.split("{"),
+["SpecializedRule","font-double-struck","default","Caps_SayCaps"],'Rule{font-number-double-struck{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFontNumber){self::number{string-length(text())=1 or string-length(text())=2{@font{not(contains(@grammar, "ignoreFont")){@font="double-struck"'.split("{"),["Rule","text","default","[n] text()","self::text"],'Rule;capital;default;[n] text() (pitch:0.6,grammar:ignoreCaps="gro\u00dfes");self::identifier;@role="latinletter" or @role="greekletter" or @role="simple function";CQFisCapital'.split(";"),
+'Rule;capital;Caps_SayCaps;[n] text();self::identifier;@role="latinletter" or @role="greekletter";CQFisCapital'.split(";"),'Rule{capital{Caps_SayCaps{[p] (pause:"short"); [n] text(){self::identifier{@role="latinletter" or @role="greekletter"{CQFisCapital{preceding-sibling::*[1]{not(name(preceding-sibling::*[1])="function"){not(contains(@grammar, "angle"))'.split("{"),'Rule;capital;Caps_SayCaps;[n] text() (pause:"short");self::identifier;@role="latinletter" or @role="greekletter";CQFisCapital;following-sibling::*[1]'.split(";"),
+'Rule{capital{Caps_SayCaps{[p] (pause:"short"); [n] text() (pause:"short"){self::identifier{@role="latinletter" or @role="greekletter"{CQFisCapital{preceding-sibling::*[1]{following-sibling::*[1]{not(name(preceding-sibling::*[1])="function"){not(contains(@grammar, "angle"))'.split("{"),'Rule,punctuation-lr,default,[p] (pause:"short"); [n] text() (pause:"short"),self::punctuation,@role="comma"'.split(","),'Rule;punctuation;default;[n] text();self::punctuation;@role="comma";not(preceding-sibling::*[1]/children);not(following-sibling::*[1]/children)'.split(";"),
+'Rule,punctuation-l,default,[p] (pause:"short"); [n] text(),self::punctuation,@role="comma",not(following-sibling::*[1]/children)'.split(","),'Rule;punctuation-r;default;[n] text() (pause:"short");self::punctuation;@role="comma";not(preceding-sibling::*[1]/children)'.split(";"),'Rule;ellipsis;Ellipses_AndSoOn;[t] "und so weiter";self::punctuation;@role="ellipsis";not(following-sibling::*[1]);not(preceding-sibling::*[last()][@role="ellipsis"])'.split(";"),'Rule;ellipsis;Ellipses_AndSoOn;[t] "und so weiter bis";self::punctuation;@role="ellipsis";preceding-sibling::*[1];following-sibling::*[1]'.split(";"),
+'Rule,vbar-evaluated,default,[n] children/*[1]; [p] (pause:"short"); [t] "ausgewertet f\u00fcr"; [n] content/*[1]/children/*[2]; [p] (pause:"short"),self::punctuated,@role="endpunct",content/*[1][@role="vbar"],content/*[1][@embellished],name(content/*[1])="subscript"'.split(","),'Rule,vbar-evaluated,default,[n] children/*[1]; [p] (pause:"short"); [t] "ausgewertet f\u00fcr"; [n] content/*[1]/children/*[2]; [p] (pause:"short"); [t] "minus des gleichen Ausdrucks ausgewertet f\u00fcr"; [n] content/*[1]/children/*[1]/children/*[2]; [p] (pause:"short"),self::punctuated,@role="endpunct",content/*[1][@role="vbar"],content/*[1][@embellished],name(content/*[1])="superscript",name(content/*[1]/children/*[1])="subscript"'.split(","),
+'Rule;vbar-such-that;VerticalLine_SuchThat;[t] "so dass";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;vbar-such-that;VerticalLine_Divides;[t] "teilt";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;vbar-such-that;VerticalLine_Given;[t] "f\u00fcr die gilt";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;set-member;default;[t] "in";self::operator;@role="set extended";text()="\u2208" or text()="\u220a"'.split(";"),
+["SpecializedRule","set-member","default","SetMemberSymbol_Element",'[t] "Element von"'],["SpecializedRule","set-member","default","SetMemberSymbol_Belongs",'[t] "geh\u00f6rt zu"'],'Rule;set-not-member;default;[t] "nicht in";self::operator;@role="set extended";text()="\u2209"'.split(";"),["SpecializedRule","set-not-member","default","SetMemberSymbol_Element",'[t] "kein Element von"'],["SpecializedRule","set-not-member","default","SetMemberSymbol_Belongs",'[t] "geh\u00f6rt nicht zu"'],'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"],self::*'.split(","),
+'Rule,feet,default,[n] children/*[1]; [t] "Fu\u00df",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2032"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,inches,default,[n] children/*[1]; [t] "Zoll",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2033"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,minutes,default,[p] (pause:short); [n] children/*[1]; [t] "Minuten",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2032"]'.split(","),
+'Rule,minute,default,[p] (pause:short); [n] children/*[1]; [t] "Minute",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),'Rule,seconds,default,[p] (pause:short); [n] children/*[1]; [t] "Sekunden",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2033"]'.split(","),'Rule,second,default,[p] (pause:short); [n] children/*[1]; [t] "Sekunde",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),
+'Rule,degrees-angle,Prime_Angle,[n] children/*[1]; [t] "Grad"; [p] (pause:short),self::punctuation,@role="degree"'.split(","),'Rule{minutes-angle{Prime_Angle{[n] children/*[1]; [t] "Minuten"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2032"]'.split("{"),'Rule,minute-angle,Prime_Angle,[n] children/*[1]; [t] "Minute"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),
+'Rule{seconds-angle{Prime_Angle{[n] children/*[1]; [t] "Sekunden"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2033"]'.split("{"),'Rule,second-angle,Prime_Angle,[n] children/*[1]; [t] "Sekunde"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),
+'Rule{feet-length{Prime_Length{[n] children/*[1]; [t] "Fu\u00df"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2032"]'.split("{"),'Rule{inches-length{Prime_Length{[n] children/*[1]; [t] "Zoll"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2033"]'.split("{"),
+["Rule","punctuated","default","[m] children/*","self::punctuated"],["Rule","function","default","[n] text()","self::function"],'Rule{function-article{default{[t] "der" (grammar:article); [n] text(){self::function{@role="prefix function"{contains(@grammar, "addArticle")'.split("{"),'Rule{function-article-fem{default{[t] "die" (grammar:article); [n] text(){self::function{@role="prefix function"{contains(@grammar, "addArticle"){text()="det" or text()="dim" or text()="tr"'.split("{"),["Rule","appl",
+"default",'[n] children/*[1]; [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short")',"self::appl"],'Rule,appl-simple,default,[n] children/*[1]; [t] "von"; [p] (pause:"short"); [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"),self::appl,@role="simple function",name(children/*[2])="appl"'.split(","),'Rule,appl-simple,default,[n] children/*[1]; [t] "von"; [p] (pause:"short"); [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"),self::appl,@role="simple function",name(children/*[2])="fenced",name(children/*[2]/children/*[1])="appl"'.split(","),
+["Rule","appl","Functions_None",'[p] (pause:"short"); [n] children/*[1]; [t] "mal"; [n] children/*[2]; [p] (pause:"short")',"self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,@role="prefix function"'.split(","),'Rule{binary-operation{ImpliedTimes_MoreImpliedTimes{[n] . (grammar:impliedTimes); [p] (pause:"short"){self::appl{@role="prefix function"{parent::*/parent::infixop[@role="implicit"]{following-sibling::*{not(contains(@grammar, "impliedTimes"))'.split("{"),
+'Rule{function-prefix-simple-arg{default{[n] children/*[1]; [n] children/*[2]{self::appl{@role="prefix function"{name(children/*[2])="fenced"{contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){name(children/*[2]/children/*[1])!="number"{name(children/*[2]/children/*[1])!="identifier"{name(children/*[2]/children/*[1])!="appl"'.split("{"),'Rule,function-prefix-embell,default,[p] (pause:"short"); [n] children/*[1]; [n] children/*[2]; [p] (pause:"short"); ,self::appl,@role="prefix function",name(children/*[1])!="function"'.split(","),
+'Rule{function-prefix-fenced-or-frac-arg{default{[p] (pause:"short"); [n] children/*[1] (grammar:addArticle); [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"){self::appl{@role="prefix function"{(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or name(children/*[2])="fraction" or (name(children/*[2])!="fenced" and not(contains(children/*[2]/@annotation, "clearspeak:simple"))){self::*'.split("{"),'Rule,function-prefix-subscript,default,[p] (pause:"short"); [n] children/*[1] (grammar:addArticle); [t] "von"; [p] (pause:"short"); [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"),self::appl,@role="prefix function",name(children/*[1])="subscript",self::*'.split(","),
+'Rule{function-ln{default{[n] children/*[1]; [n] children/*[2]{self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(following-sibling::*){not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-ln{default{[n] children/*[1]; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-ln{default{[n] children/*[1]; [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{name(children/*[2])="fenced"{not(contains(@grammar, "NatLog"))'.split("{"),
+'Rule;function-ln;Log_LnAsNaturalLog;[n] . (grammar:NatLog);self::appl;@role="prefix function";content/*[2][text()="ln"];not(following-sibling::*);not(contains(@grammar, "NatLog"))'.split(";"),'Rule{function-ln{Log_LnAsNaturalLog{[n] . (grammar:NatLog); [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-prefix-as-exp{default{[n] children/*[1]; [t] "von"; [p] (pause:"short"); [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"){self::appl{@role="prefix function"{name(parent::*/parent::*)="superscript"{not(following-sibling::*){(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or name(children/*[2])="fraction" or (name(children/*[2])!="fenced" and not(contains(children/*[2]/@annotation, "clearspeak:simple")))'.split("{"),
+'Rule,function-prefix-subscript-as-exp,default,[n] children/*[1]; [t] "von"; [p] (pause:"short"); [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"),self::appl,@role="prefix function",name(parent::*/parent::*)="superscript",not(following-sibling::*),name(children/*[1])="subscript"'.split(","),'Rule,function-prefix-hyper,default,[p] (pause:"short"); [n] children/*[1]; [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"),self::appl,@role="prefix function",CQFisHyperbolic'.split(","),
+'Rule{function-prefix-inverse{default{[p] (pause:"short"); [t] "der" (grammar:article); [t] "inverse" (grammar:masculine); [n] children/*[1]/children/*[1]; [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule,appl-triginverse,Trig_TrigInverse,[p] (pause:"short"); [n] children/*[1]; [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"),self::appl,@role="prefix function",name(children/*[1])="superscript",name(children/*[1]/children/*[2])="prefixop",children/*[1]/children/*[2][@role="negative"],children/*[1]/children/*[2]/children/*[1][text()="1"]'.split(","),
+'Rule{function-prefix-arc-simple{Trig_ArcTrig{[p] (pause:"short"); [t] "Arkus" (join:""); [n] children/*[1]/children/*[1] (grammar:lowercase); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule{function-prefix-arc-simple{Trig_ArcTrig{[p] (pause:"short"); [t] "Arkus" (join:""); [n] children/*[1]/children/*[1] (grammar:lowercase); [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{name(children/*[2])="fenced"{children/*[2]/children/*[1][@role="prefix function"]{contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule{function-prefix-arc{Trig_ArcTrig{[p] (pause:"short"); [t] "Arkus" (join:""); [n] children/*[1]/children/*[1] (grammar:lowercase); [t] "von"; [n] children/*[2] (grammar:case="dative"); [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none")){(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or (name(children/*[2])="fraction" and children/*[2][@role!="vulgar"])'.split("{"),
+'Rule{function-inverse{default{[n] children/*[1]; [t] "invers"{self::superscript{@role="prefix function" or @role="simple function"{name(children/*[2])="prefixop"{children/*[2][@role="negative"]{children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule,superscript-prefix-function,default,[t] "die" (grammar:article); [n] children/*[2] (grammar:ordinal); [t] "Potenz von"; [n] children/*[1],self::superscript,@role="prefix function",name(children/*[2])="number",children/*[2][@role="integer"]'.split(","),
+'Rule,superscript-prefix-function,default,[t] "die" (grammar:article); [n] children/*[2] (grammar:ordinal); [t] "Potenz von"; [n] children/*[1],self::superscript,@role="prefix function",name(children/*[2])="identifier"'.split(","),'Rule;function-inverse;Functions_None;[n] . (grammar:functions_none);self::superscript;@role="prefix function" or @role="simple function";name(children/*[2])="prefixop";children/*[2][@role="negative"];children/*[2]/children/*[1][text()="1"];not(contains(@grammar, "functions_none"))'.split(";"),
+["Rule","superscript","default",'[n] children/*[1]; [t] "mit Exponent" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "Ende Exponent" (pause:"short")',"self::superscript"],'Rule,superscript-ordinal,default,[n] children/*[1]; [t] "hoch"; [n] children/*[2]; [p] (pause:"short"),self::superscript,name(children/*[2])="number",children/*[2][@role="integer"]'.split(","),'Rule,superscript-ordinal,default,[n] children/*[1]; [t] "hoch"; [n] children/*[2]; [p] (pause:"short"),self::superscript,name(children/*[2])="prefixop",children/*[2][@role="negative"],name(children/*[2]/children/*[1])="number",children/*[2]/children/*[1][@role="integer"]'.split(","),
+'Rule,superscript-ordinal,default,[n] children/*[1]; [t] "hoch"; [n] children/*[2]; [p] (pause:"short"),self::superscript,name(children/*[2])="identifier",children/*[2][@role="latinletter" or @role="greekletter" or @role="otherletter"]'.split(","),'Rule,superscript-ordinal-default,default,[n] children/*[1]; [t] "mit Exponent" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "Ende Exponent" (pause:"short"),self::superscript,children//superscript'.split(","),'Rule,superscript-simple-exponent,default,[n] children/*[1]; [t] "hoch"; [n] children/*[2]; [p] (pause:"short"),self::superscript,not(descendant::superscript)'.split(","),
+'Rule,superscript-simple-exponent-end,default,[n] children/*[1]; [t] "hoch"; [n] children/*[2]; ,self::superscript,not(descendant::superscript),not(following-sibling::*)'.split(","),'Aliases;superscript-simple-exponent;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="number";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),'Aliases;superscript-simple-exponent;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="fraction";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),
+["Aliases","superscript-simple-exponent","self::superscript",'children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"]','name(children/superscript/children/*[1])="identifier"'],'Aliases;superscript-simple-exponent;self::superscript;children/*[2][@role="implicit"];count(children/*[2]/children/*)=2;contains(children/*[2]/children/*[1]/@annotation, "simple");name(children/*[2]/children/*[2])="superscript";(name(children/*[2]/children/*[2]/children/*[1])="number" and contains(children/*[2]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple")) or name(children/*[2]/children/*[2]/children/*[1])="identifier";children/*[2]/children/*[2]/children/*[2][text()="2"] or children/*[2]/children/*[2]/children/*[2][text()="3"]'.split(";"),
+'Rule,superscript-simple-power,Exponent_OrdinalPower,[n] children/*[1]; [t] "potenziert mit"; [n] children/*[2]; [p] (pause:"short"),self::superscript,not(descendant::superscript)'.split(","),'Rule,superscript-simple-power-end,Exponent_OrdinalPower,[n] children/*[1]; [t] "potenziert mit"; [n] children/*[2]; ,self::superscript,not(descendant::superscript),not(following-sibling::*)'.split(","),'Aliases;superscript-simple-power;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="number";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),
+'Aliases;superscript-simple-power;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="fraction";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),["Aliases","superscript-simple-power","self::superscript",'children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"]','name(children/superscript/children/*[1])="identifier"'],
+'Aliases;superscript-simple-power;self::superscript;children/*[2][@role="implicit"];count(children/*[2]/children/*)=2;contains(children/*[2]/children/*[1]/@annotation, "simple");name(children/*[2]/children/*[2])="superscript";(name(children/*[2]/children/*[2]/children/*[1])="number" and contains(children/*[2]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple")) or name(children/*[2]/children/*[2]/children/*[1])="identifier";children/*[2]/children/*[2]/children/*[2][text()="2"] or children/*[2]/children/*[2]/children/*[2][text()="3"]'.split(";"),
+'Rule{superscript-ordinal-power{Exponent_OrdinalPower{[n] children/*[1]; [t] "zur"; [n] children/*[2] (grammar:ordinal,join:""); [t] "n Potenz" (pause:"short"){self::superscript{name(children/*[2])="number"{children/*[2][@role="integer"]'.split("{"),["Aliases","superscript-ordinal-power","self::superscript",'name(children/*[2])="identifier"','children/*[2][@role="latinletter" or @role="greekletter" or @role="otherletter"]'],'Rule{superscript-non-ordinal{Exponent_OrdinalPower{[n] children/*[1]; [t] "zur negativ"; [n] children/*[2]/children/*[1] (grammar:ordinal, join:""); [t] "n Potenz" (pause:"short"){self::superscript{children/*[2][@role="negative"]{name(children/*[2]/children/*[1])="number"{children/*[2]/children/*[1][@role="integer"]'.split("{"),
+'Rule{superscript-simple-function{Exponent_OrdinalPower{[t] "die" (grammar:article); [n] children/*[2] (grammar:ordinal); [t] "Potenz von" (pause:"short"); [n] children/*[1]{self::superscript{name(children/*[1])="identifier"{children/*[1][@role="simple function"]{children/*[2][@role!="prime"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule{exponent{default{[n] text() (join:""); [t] "te"{self::identifier{contains(@grammar, "ordinal")'.split("{"),'Rule;exponent;default;[t] CSFwordOrdinal;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),
+'Rule;exponent;default;[t] "nullte";self::number;@role="integer";contains(@grammar, "ordinal");text()="0"'.split(";"),'Rule,superscript-simple-exp,Exponent_Exponent,[n] children/*[1]; [t] "mit Exponent"; [n] children/*[2]; [p] (pause:"short"),self::superscript,not(descendant::superscript)'.split(","),'Rule,superscript-simple-exp-end,Exponent_Exponent,[n] children/*[1]; [t] "mit Exponent"; [n] children/*[2]; ,self::superscript,not(descendant::superscript),not(following-sibling::*)'.split(","),'Aliases;superscript-simple-exp;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="number";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),
+'Aliases;superscript-simple-exp;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="fraction";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),["Aliases","superscript-simple-exp","self::superscript",'children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"]','name(children/superscript/children/*[1])="identifier"'],
+'Aliases;superscript-simple-exp;self::superscript;children/*[2][@role="implicit"];count(children/*[2]/children/*)=2;contains(children/*[2]/children/*[1]/@annotation, "simple");name(children/*[2]/children/*[2])="superscript";(name(children/*[2]/children/*[2]/children/*[1])="number" and contains(children/*[2]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple")) or name(children/*[2]/children/*[2]/children/*[1])="identifier";children/*[2]/children/*[2]/children/*[2][text()="2"] or children/*[2]/children/*[2]/children/*[2][text()="3"]'.split(";"),
+'Rule;superscript-simple-function;Functions_None;[n] . (grammar:functions_none);self::superscript;name(children/*[1])="identifier";children/*[1][@role="simple function"];not(contains(@grammar, "functions_none"))'.split(";"),'Rule,square,default,[n] children/*[1]; [t] "Quadrat",self::superscript,children/*[2][text()="2"],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),self::*,self::*'.split(","),'Rule,cube,default,[n] children/*[1]; [t] "Kubik",self::superscript,children/*[2][text()="3"],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),self::*,self::*'.split(","),
+'Rule;paren-simple;default;[n] children/*[1];self::fenced;@role="leftright";contains(children/*[1]/@annotation, "clearspeak:simple");name(../..)!="superscript" and name(../..)!="subscript"'.split(";"),'Rule;paren-simple-exp;default;[n] children/*[1];self::fenced;@role="leftright";name(../..)="superscript";children/*[1][@role="integer"] or children/*[1][@role="float"] or (children/*[1][@role="vulgar"] and contains(children/*[1]/@annotation, "clearspeak:simple")) or children/*[1][@role="latinletter"] or children/*[1][@role="greekletter"] or children/*[1][@role="otherletter"]'.split(";"),
+'Rule;paren-simple-nested-func;default;[n] children/*[1];self::fenced;@role="leftright";name(../*[1])="identifier" or name(../*[1])="function";parent::*/parent::*[@role="simple function" or @role="prefix function"];children/*[1][@role="simple function" or @role="prefix function"];contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple") or name(children/*[1]/children/*[2]/children/*[1])="subscript" or name(children/*[1]/children/*[2]/children/*[1])="superscript" or children/*[1]/children/*[2]/children/*[1][@role="vulgar"] '.split(";"),
+'Rule{paren-simple-nested-func-no-bracket{Functions_None{[n] children/*[1];{self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{children/*[1][@role="simple function" or @role="prefix function"]{name(children/*[1]/children/*[1])="identifier" or name(children/*[1]/children/*[1])="function"{contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){name(children/*[1]/children/*[2]/children/*[1])="identifier" or name(children/*[1]/children/*[2]/children/*[1])="number"'.split("{"),
+'Rule,fences-open-close,default,[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"),self::fenced,@role="leftright"'.split(","),'Rule{paren-simple-nested-func{default{[p] (pause:"short"); [n] content/*[1]; [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2]; [p] (pause:"short"){self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{not(contains(children/*[1]/@annotation, "clearspeak:simple"))'.split("{"),
+'Rule{paren-simple-nested-func{Functions_None{[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"){self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{children/*[1][@role="simple function" or @role="prefix function"]{contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple") or name(children/*[1]/children/*[2]/children/*[1])="subscript" or name(children/*[1]/children/*[2]/children/*[1])="superscript" or children/*[1]/children/*[2]/children/*[1][@role="vulgar"] '.split("{"),
+["SpecializedRule","fences-open-close","default","Paren_Speak"],["Aliases","fences-open-close","self::fenced",'@role="composed function"'],["Rule","fence-silent","Paren_Silent",'[p] (pause:"short"); [n] children/*[1]; [p] (pause:"short")',"self::fenced"],'Rule,fences-open-close,ImpliedTimes_None,[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"),self::fenced,@role="leftright",parent::*/parent::*[@role!="simple function"],parent::*/parent::*[@role!="prefix function"]'.split(","),
+'Rule;fence-nesting;Paren_SpeakNestingLevel;[n] text() (grammar:insertNesting=CSFnestingDepth);self::fence;contains(@grammar, "spokenFence");CQFmatchingFences'.split(";"),["Rule","fence-no-nesting","Paren_SpeakNestingLevel","[n] text()","self::fence"],'Rule,fences-points,Paren_CoordPoint,[t] "der Punkt mit Koordinaten"; [n] children/*[1],self::fenced,name(children/*[1])="punctuated",children/*[1][@role="sequence"]'.split(","),'Rule{fences-interval{Paren_Interval{[t] "das Interval von"; [n] children/*[1]/children/*[1]; [t] "bis"; [n] children/*[1]/children/*[3]; [p] (pause:"short"); [n] . (grammar:interval){self::fenced{not(contains(@grammar, "interval")){name(children/*[1])="punctuated"{children/*[1][@role="sequence"]{count(./children/*[1]/content/*)=1{children/*[1]/content/*[1][@role="comma"]'.split("{"),
+'Rule{interval-open{Paren_Interval{[t] "ohne"; [n] children/*[1]/children/*[1]; [t] "und"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"'.split("{"),'Rule{interval-closed-open{Paren_Interval{[t] "einschlie\u00dflich"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [t] "aber ohne"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()=")"'.split("{"),
+'Rule{interval-open-closed{Paren_Interval{[t] "ohne"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [t] "aber einschlie\u00dflich"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()="]"'.split("{"),'Rule{interval-closed{Paren_Interval{[t] "einschlie\u00dflich"; [n] children/*[1]/children/*[1]; [t] "und"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()="]"'.split("{"),
+'Rule{interval-open-inf-r{Paren_Interval{[t] "ohne"; [n] children/*[1]/children/*[1]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"{children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e")'.split("{"),'Rule{interval-open-inf-l{Paren_Interval{[t] "ohne"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"{children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split("{"),
+'Rule;interval-open-inf-lr;Paren_Interval;;self::fenced;contains(@grammar, "interval");content/*[1]/text()="(";content/*[2]/text()=")";children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e");children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split(";"),'Rule{interval-closed-open-inf{Paren_Interval{[t] "einschlie\u00dflich"; [n] children/*[1]/children/*[1]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()=")"{children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e")'.split("{"),
+'Rule{interval-open-closed-inf{Paren_Interval{[t] "einschlie\u00dflich"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()="]"{children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split("{"),'Rule,paren-nested-embellished-funcs,Functions_None,[p] (pause:"short"); [n] content/*[1]; [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2]; [p] (pause:"short"),self::fenced,@role="leftright",name(../..)="appl",name(children/*[1]) = "appl",preceding-sibling::*/descendant-or-self::*[@role="subsup"] or children/*[1]/descendant-or-self::*[@role="subsup"]'.split(","),
+'Rule;set-empty;default;[t]  "die leere Menge";self::fenced;@role="set empty"'.split(";"),'Rule,set-extended,default,[t] "die Menge aller"; [n] children/*[1]/children/*[1]; [t] "mit"; [n] children/*[1]/children/*[3],self::fenced,@role="set extended"'.split(","),'Rule,set-collection,default,[t] "die Menge"; [n] children/*[1],self::fenced,@role="set collection"'.split(","),["Aliases","set-collection","self::fenced",'@role="set singleton"'],'Rule,set-extended,Sets_woAll,[t] "die Menge von"; [n] children/*[1]/children/*[1]; [t] "mit"; [n] children/*[1]/children/*[3],self::fenced,@role="set extended"'.split(","),
+'Rule;set-collection;Sets_SilentBracket;[n] children/*[1];self::fenced;@role="set collection"'.split(";"),["Rule","subscript","default",'[p] (pause:short); [n] children/*[1]; [t] "Index"; [n] children/*[2]; [p] (pause:short)',"self::subscript"],'Rule,subscript-base,default,[n] children/*[1]; [t] "Basis"; [n] children/*[2],self::subscript,CQFisLogarithm'.split(","),'Rule{subscript-index{default{[n] children/*[1]; [t] "Index"; [n] children/*[2]{self::subscript{contains(@grammar, "simpleDet")'.split("{"),
+["Rule","fraction","default",'[p] (pause:short); [t] "Bruch mit Z\u00e4hler"; [n] children/*[1]; [p] (pause:short); [t] "und Nenner"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],'Rule,fraction,Functions_None,[p] (pause:short); [t] "Bruch mit Z\u00e4hler"; [n] children/*[1]; [p] (pause:short); [t] "und Nenner"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="appl" or name(children/*[2])="appl"'.split(","),'Rule{simple-fraction{default{[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short){self::fraction{contains(children/*[1]/@annotation, "clearspeak:simple") or contains(children/*[1]/@annotation, "clearspeak:unit"){contains(children/*[2]/@annotation, "clearspeak:simple") or contains(children/*[2]/@annotation, "clearspeak:unit")'.split("{"),
+'Rule,simple-vulgar-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short),self::fraction,@role="vulgar"'.split(","),'Rule,simple-text-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="text",name(children/*[2])="text"'.split(","),'Rule,simple-text-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="infixop",children/*[1][@role="unit"],name(children/*[2])="text"'.split(","),
+'Rule;vulgar-fraction;default;[t] CSFvulgarFraction (grammar:correctOne);self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["Rule","fraction","Fraction_Over",'[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_OverEndFrac",'[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short); [t] "Ende Bruch"; [p] (pause:short)',"self::fraction"],["Rule","fraction",
+"Fraction_FracOver",'[p] (pause:short); [t] "Bruch"; [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_Per",'[p] (pause:short); [n] children/*[1]; [t] "per"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_GeneralEndFrac",'[p] (pause:short); [t] "Bruch mit Z\u00e4hler"; [n] children/*[1]; [p] (pause:short); [t] "und Nenner"; [n] children/*[2]; [p] (pause:short); [t] "Ende Bruch"; [p] (pause:short)',
+"self::fraction"],["Rule","fraction","Fraction_General",'[p] (pause:short); [t] "Bruch mit Z\u00e4hler"; [n] children/*[1]; [p] (pause:short); [t] "und Nenner"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],'Rule;simple-vulgar-fraction;Fraction_Ordinal;[t] CSFvulgarFraction (grammar:correctOne);self::fraction;@role="vulgar"'.split(";"),'Rule{fraction{Fraction_EndFrac{[p] (pause:short); [n] . (grammar:endfrac); [t] "Ende Bruch"; [p] (pause:short){self::fraction{not(contains(@grammar, "endfrac")){not(contains(children/*[1]/@annotation, "clearspeak:unit")){not(contains(children/*[2]/@annotation, "clearspeak:unit"))'.split("{"),
+'Rule{vulgar-fraction{Fraction_EndFrac{[p] (pause:short); [n] children/*[1]; [t] "geteilt durch"; [n] children/*[2]; [p] (pause:short){self::fraction{name(children/*[1])="fraction"{name(children/*[2])="fraction"{contains(children/*[1]/@annotation, "clearspeak:simple"){contains(children/*[2]/@annotation, "clearspeak:simple")'.split("{"),'Rule;simple-vulgar-fraction;Fraction_EndFrac;[t] CSFvulgarFraction (grammar:correctOne);self::fraction;@role="vulgar";contains(@annotation, "clearspeak:simple");self::*'.split(";"),
+["Rule","sqrt","default",'[t] "Quadratwurzel aus"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short)',"self::sqrt"],'Rule,sqrt-nested,default,[p] (pause: "short"); [t] "Quadratwurzel aus"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),'Rule,negative-sqrt,default,[t] "negative Quadratwurzel aus"; [n] children/*[1]/children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::prefixop,@role="negative",name(children/*[1])="sqrt"'.split(","),
+'Rule,negative-sqrt,default,[p] (pause: "short"); [t] "negative Quadratwurzel aus"; [n] children/*[1]/children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::prefixop,@role="negative",name(children/*[1])="sqrt",not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),'Rule,sqrt-plus-minus,Roots_PosNegSqRoot,[t] "positive Quadratwurzel aus"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),
+'Rule,sqrt-nested-plus-minus,Roots_PosNegSqRoot,[p] (pause: "short"); [t] "positive Quadratwurzel aus"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),'Rule,sqrt-plus-minus,Roots_PosNegSqRootEnd,[t] "positive Quadratwurzel aus"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),
+'Rule,sqrt-nested-plus-minus,Roots_PosNegSqRootEnd,[p] (pause: "short"); [t] "positive Quadratwurzel aus"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),'Rule{sqrt-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "Wurzel Ende"; [p] (pause:short){self::sqrt{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule{negative-sqrt-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "Wurzel Ende"; [p] (pause:short){self::prefixop{@role="negative"{name(children/*[1])="sqrt"{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{sqrt-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "Wurzel Ende"; [p] (pause:short){self::sqrt{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{negative-sqrt-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "Wurzel Ende"; [p] (pause:short){self::prefixop{@role="negative"{name(children/*[1])="sqrt"{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule,cube,default,[t] "Kubikwurzel aus"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,children/*[1][text()="3"]'.split(","),'Rule,cube-nested,default,[p] (pause:short); [t] "Kubikwurzel aus"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,children/*[1][text()="3"],not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),["Rule","root","default",'[t] "die" (grammar:article); [n] children/*[1] (grammar:ordinal); [t] "Wurzel aus"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short)',
+"self::root"],'Rule,root-nested,default,[p] (pause:short); [t] "die" (grammar:article); [n] children/*[1] (grammar:ordinal); [t] "Wurzel aus"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),'Rule{root-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "Wurzel Ende"; [p] (pause:short){self::root{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{root-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "Wurzel Ende"; [p] (pause:short){self::root{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule,negative,default,[t] "minus"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),'Rule,positive,default,[t] "plus"; [n] children/*[1],self::prefixop,@role="positive"'.split(","),'Rule,angle-measure,default,[t] "das Ma\u00df des Winkels"; [n] children/*[2] (grammar:angle),self::infixop,content/*[1]/text()="\u2220",children/*[1][text()="m"]'.split(","),["Rule","prefix","default","[m] content/* (grammar:prefix); [n] children/*[1]","self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [m] content/* (grammar:postfix)",
+"self::postfixop"],'Rule{set-prefix-operators{default{[t] "der" (grammar:article); [n] self::* (grammar:!prefix); [t] "von"{self::*{contains(@grammar,"prefix"){descendant-or-self::*/text()="\u2229"{self::*{self::*{self::*'.split("{"),'Rule{set-prefix-operators{default{[t] "die" (grammar:article); [n] self::* (grammar:!prefix); [t] "von"{self::*{contains(@grammar,"prefix"){descendant-or-self::*/text()="\u222a"{self::*{self::*{self::*'.split("{"),["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);",
+"self::infixop"],'Rule,binary-operation,ImpliedTimes_MoreImpliedTimes,[m] children/* (sepFunc:CTXFcontentIterator);,self::infixop,@role="implicit"'.split(","),'Rule,binary-operation-pause,default,[p] (pause:short); [m] children/* (sepFunc:CTXFcontentIterator);,self::infixop,@role="implicit",name(children/*[1])="appl"'.split(","),'Rule,binary-operation-pause,default,[m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:short),self::infixop,@role="implicit",name(children/*[last()])="appl"'.split(","),
+'Rule,binary-operation-pause,default,[p] (pause:short); [m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:short),self::infixop,@role="implicit",name(children/*[1])="appl",name(children/*[last()])="appl"'.split(","),'Rule;implicit-times;default;[p] (pause:short);self::operator;@role="multiplication";text()="\u2062"'.split(";"),'Rule implicit-times default  self::operator @role="multiplication" text()="\u2062" CQFsimpleArguments'.split(" "),'Rule;implicit-times;default;[n] text();self::operator;@role="multiplication";text()="\u2062";CQFfencedArguments'.split(";"),
+'Rule;implicit-times;ImpliedTimes_MoreImpliedTimes;[n] text();self::operator;@role="multiplication";text()="\u2062"'.split(";"),'Rule implicit-times ImpliedTimes_None  self::operator @role="multiplication" text()="\u2062"'.split(" "),'Rule{binary-operation-simple{default{[m] children/* (rate:"0.5"); [p] (pause:short){self::infixop{@role="implicit"{contains(@annotation, "clearspeak:simple"){not(contains(@grammar, "inFrac"))'.split("{"),'Rule;simple-in-fraction;default;[n] . (rate:"0.5",grammar:inFrac);self::*;contains(@annotation, "clearspeak:simple");not(contains(@grammar, "inFrac"));name(.)!="identifier";name(.)!="function";name(.)!="number";name(parent::*/parent::*)="fraction";not(preceding-sibling::*)'.split(";"),
+'Rule;operators-after-power;Exponent_AfterPower;[m] children/* (rate:"0.5");self::infixop;@role="implicit";contains(@grammar, "afterPower")'.split(";"),["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],'Rule;natural-numbers;default;[t] "die nat\u00fcrlichen Zahlen";self::identifier;text()="\u2115" or (text()="N" and @font="double-struck");self::*;self::*;self::*;self::*;self::*'.split(";"),
+'Rule;integers;default;[t] "die ganzen Zahlen";self::identifier;text()="\u2124" or (text()="Z" and @font="double-struck");self::*;self::*;self::*;self::*;self::*'.split(";"),'Rule;rational-numbers;default;[t] "die rationalen Zahlen";self::identifier;text()="\u211a" or (text()="Q" and @font="double-struck");self::*;self::*;self::*;self::*;self::*'.split(";"),'Rule;real-numbers;default;[t] "die reellen Zahlen";self::identifier;text()="\u211d" or (text()="R" and @font="double-struck");self::*;self::*;self::*;self::*;self::*'.split(";"),
+'Rule;complex-numbers;default;[t] "die komplexen Zahlen";self::identifier;text()="\u2102" or (text()="C" and @font="double-struck");self::*;self::*;self::*;self::*;self::*'.split(";"),'Rule,natural-numbers-super,default,[t] "n" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2115" or (children/*[1]/text()="N" and @font="double-struck"),self::*,self::*,self::*,self::*,self::*'.split(","),'Rule,integers-super,default,[t] "z" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck"),self::*,self::*,self::*,self::*,self::*'.split(","),
+'Rule,rational-numbers-super,default,[t] "q" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck"),self::*,self::*,self::*,self::*,self::*'.split(","),'Rule,real-numbers-super,default,[t] "r" (join:"-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u211d" or (children/*[1]/text()="R" and @font="double-struck"),self::*,self::*,self::*,self::*,self::*'.split(","),
+'Rule,complex-numbers-super,default,[t] "c" (join:"-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2102" or (children/*[1]/text()="C" and @font="double-struck"),self::*,self::*,self::*,self::*,self::*'.split(","),'Rule;natural-numbers-with-zero;default;[t] "die nat\u00fcrlichen Zahlen mit Null";self::subscript;children/*[1]/text()="\u2115" or (children/*[1]/text()="N" and @font="double-struck");children/*[2]/text()="0";self::*;self::*;self::*;self::*;self::*'.split(";"),
+'Rule;positive-integers;default;[t] "die positiven ganzen Zahlen";self::superscript;children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck");children/*[2]/text()="+";self::*;self::*;self::*;self::*;self::*'.split(";"),'Rule;positive-integers;default;[t] "die negativen ganzen Zahlen";self::superscript;children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck");children/*[2]/text()="-";self::*;self::*;self::*;self::*;self::*'.split(";"),'Rule;positive-rational-numbers;default;[t] "die positiven rationalen Zahlen";self::superscript;children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck");children/*[2]/text()="+";self::*;self::*;self::*;self::*;self::*'.split(";"),
+'Rule;negative-rational-numbers;default;[t] "die negativen rationalen Zahlen";self::superscript;children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck");children/*[2]/text()="-";self::*;self::*;self::*;self::*;self::*'.split(";"),'Rule,fences-neutral,default,[p] (pause:short); [t] "der Betrag von"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),'Rule,fences-neutral,AbsoluteValue_AbsEnd,[p] (pause:short); [t] "der Betrag von"; [n] children/*[1]; [p] (pause: short); [t] "Ende Betrag"; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+'Rule,fences-neutral,AbsoluteValue_Cardinality,[p] (pause:short); [t] "die M\u00e4chtigkeit der Menge"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),'Rule,fences-neutral,AbsoluteValue_Determinant,[p] (pause:short); [t] "die Determinante von"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["Rule","matrix","default",'[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Matrize"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:"); [p] (pause:long)',"self::matrix"],'Rule{matrix-simple{default{[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Matrize"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:",grammar:simpleDet); [p] (pause:long){self::matrix{count(children/*)<4{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+'Rule,matrix-trivial,default,[t] "die 1 mal 1 Matrize mit Element"; [n] children/*[1]; [p] (pause:long),self::vector,@role="squarematrix"'.split(","),'Rule{determinant{default{[t] "die" (grammar:article); [t] "Determinante der"; [t] count(children/*); [t] "mal"; [t] count(children/*[1]/children/*); [t] "Matrize"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="determinant"{count(children/*)<4{CQFcellsSimple'.split("{"),
+'Rule{determinant-simple{default{[t] "die" (grammar:article); [t] "Determinante der"; [t] count(children/*); [t] "mal"; [t] count(children/*[1]/children/*); [t] "Matrize"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:"); [p] (pause:long){self::matrix{@role="determinant"'.split("{"),["Rule","matrix-vector","default",'[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Spaltenmatrize"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:",grammar:simpleDet); [p] (pause:long)',
+"self::vector"],["SpecializedRule","matrix-vector","default","Matrix_SpeakColNum"],'Rule{matrix-vector-simple{default{[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Spaltenmatrize"; [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::vector{count(children/*)<4{CQFcellsSimple{@role!="squarematrix"'.split("{"),["Rule","matrix-vector-simple","Matrix_SilentColNum",'[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Spaltenmatrize"; [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long)',
+"self::vector"],'Rule{matrix-row-vector{default{[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Zeilenmatrize"; [p] (pause:long); [m] children/*[1]/children/* (ctxtFunc:CTXFnodeCounter,context:"Spalte-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),["SpecializedRule","matrix-row-vector","default","Matrix_SpeakColNum"],'Rule{matrix-row-vector-simple{default{[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Zeilenmatrize"; [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+'Rule{matrix-row-vector-simple{Matrix_SilentColNum{[t] "die" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Zeilenmatrize"; [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),'Rule;matrix-row-simple;default;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short");self::row;contains(@grammar, "simpleDet")'.split(";"),["Rule",
+"matrix-row-simple","Matrix_SilentColNum",'[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short")',"self::row"],'Rule;line-simple;default;[n] children/*[1];self::line;contains(@grammar, "simpleDet")'.split(";"),["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"Spalte-,- ",sepFunc:CTXFpauseSeparator,separator:"medium"); [p] (pause:long)',"self::row"],["SpecializedRule","matrix-row","default","Matrix_SpeakColNum"],["Rule","matrix-cell","default","[n] children/*[1]",
+"self::cell"],'Rule{matrix-end-matrix{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "Ende Matrize"{self::matrix{not(contains(@grammar, "EndMatrix"))'.split("{"),'Rule{matrix-end-vector{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "Ende Matrize"{self::vector{not(contains(@grammar, "EndMatrix"))'.split("{"),'Rule{matrix-end-determinant{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "Ende Determinante"{self::matrix{@role="determinant"{not(contains(@grammar, "EndMatrix"))'.split("{"),["Rule","vector",
+"Matrix_Vector",'[t] "der" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Spaltenvektor"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:",grammar:simpleDet); [p] (pause:long)',"self::vector"],["SpecializedRule","vector","Matrix_Vector","Matrix_EndVector"],'Rule{vector-simple{Matrix_Vector{[t] "der" (grammar:article); [t] count(children/*);  [t] "mal"; [t] count(children/*[1]/children/*); [t] "Spaltenvektor"; [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::vector{count(children/*)<4{CQFcellsSimple'.split("{"),
+["SpecializedRule","vector-simple","Matrix_Vector","Matrix_EndVector"],'Rule{row-vector{Matrix_Vector{[t] "der" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Zeilenvektor"; [p] (pause:long); [m] children/*[1]/children/* (ctxtFunc:CTXFnodeCounter,context:"Spalte-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),["SpecializedRule","row-vector","Matrix_Vector","Matrix_EndVector"],'Rule{row-vector-simple{Matrix_Vector{[t] "der" (grammar:article); [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Zeilenvektor"; [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+["SpecializedRule","row-vector-simple","Matrix_Vector","Matrix_EndVector"],'Rule{vector-end-matrix{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "Ende Matrize"{self::matrix{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule{vector-end-vector{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "Ende Vektor"{self::vector{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule{vector-end-vector{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "Ende Vektor"{self::matrix{@role="rowvector"{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),
+'Rule{vector-end-determinant{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "Ende Determinante"{self::matrix{@role="determinant"{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule,binomial,Matrix_Combinatoric,[n] children/*[1]/children/*[1]; [t] "\u00fcber"; [n] children/*[2]/children/*[1]; ,self::vector,@role="binomial"'.split(","),'Rule{lines-summary{default{[p] (pause:short); [t] count(children/*); [t] "Zeilen";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary")){self::*'.split("{"),
+'Rule;lines-summary;MultiLineOverview_None;[n] . (grammar:layoutSummary);self::multiline;not(contains(@grammar, "layoutSummary"));self::*'.split(";"),["Aliases","lines-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],'Rule{cases-summary{default{[p] (pause:short); [t] count(children/*); [t] "F\u00e4lle";  [n] . (grammar:layoutSummary){self::cases{not(contains(@grammar, "layoutSummary"))'.split("{"),'Rule;cases-summary;MultiLineOverview_None;[n] . (grammar:layoutSummary);self::cases;not(contains(@grammar, "layoutSummary"));self::*'.split(";"),
+["Rule","lines","default",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',"self::table"],["Aliases","lines","self::multiline"],["Rule","line","default","[n] children/*[1]","self::line"],'Rule;row-medium;default;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"medium");self::row;@role="table"'.split(";"),["Aliases","row-medium","self::row",'@role="cases"'],'Rule;row-long;MultiLinePausesBetweenColumns_Long;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"long");self::row;@role="table"'.split(";"),
+["Aliases","row-long","self::row",'@role="cases"'],'Rule;row-short;MultiLinePausesBetweenColumns_Short;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short");self::row;@role="table"'.split(";"),["Aliases","row-short","self::row",'@role="cases"'],'Rule;blank-cell;default;[t] "leer";self::cell;count(children/*)=0'.split(";"),'Rule;blank-empty;default;[t] "leer";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),["Rule","cases","default",'[p] (pause:short);  [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Fall-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::cases"],'Rule{lines-cases-summary{MultiLineLabel_Case{[p] (pause:short); [t] count(children/*); [t] "F\u00e4lle";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-cases-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-cases","MultiLineLabel_Case",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Fall-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',"self::table"],
+["Aliases","lines-cases","self::multiline"],'Rule{lines-equations-summary{MultiLineLabel_Equation{[p] (pause:short); [t] count(children/*); [t] "Gleichungen";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-equations-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-equations","MultiLineLabel_Equation",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Gleichung-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-equations","self::multiline"],'Rule{lines-steps-summary{MultiLineLabel_Step{[p] (pause:short); [t] count(children/*); [t] "Rechenschritte";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-steps-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-steps","MultiLineLabel_Step",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Schritt-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-steps","self::multiline"],'Rule{lines-rows-summary{MultiLineLabel_Row{[p] (pause:short); [t] count(children/*); [t] "Zeilen";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-rows-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-rows","MultiLineLabel_Row",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Zeile-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-rows","self::multiline"],'Rule{lines-constraints-summary{MultiLineLabel_Constraint{[p] (pause:short); [t] count(children/*); [t] "Bedingungen";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-constraints-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-constraints","MultiLineLabel_Constraint",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Bedingung-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-constraints","self::multiline"],'Rule{lines-none{MultiLineLabel_None{[p] (pause:short); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long){self::table{contains(@grammar, "layoutSummary")'.split("{"),["Aliases","lines-none","self::multiline",'contains(@grammar, "layoutSummary")'],["Aliases","lines-none","self::cases",'contains(@grammar, "layoutSummary")'],["Rule","bigop","default",'[n] children/*[1]; [t] "\u00fcber"; [n] children/*[2]; [p] (pause:short)',
+"self::bigop"],["Rule","limboth","default",'[n] children/*[1]; [t] "von"; [n] children/*[2];[t] "bis"; [n] children/*[3];',"self::limboth"],["Rule","limlower","default",'[n] children/*[1]; [t] "\u00fcber"; [n] children/*[2]; [p] (pause:short)',"self::limlower"],["Rule","limupper","default",'[n] children/*[1]; [t] "unter"; [n] children/*[2]; [p] (pause:short)',"self::limupper"],["Rule","integral","default",'[t] "das"; [n] children/*[1]; [t] "\u00fcber"; [n] children/*[2]; [p] (pause:short)',"self::integral"],
+["Rule","overscript","default",'[n] children/*[1]; [t] "unter"; [n] children/*[2]; [p] (pause:short)',"self::overscore"],'Rule,overscript,default,[n] children/*[1]; [n] children/*[2];,self::overscore,children/*[2][@role="overaccent"]'.split(","),'Rule,overscript-limits,default,[n] children/*[1]; [t] "bis"; [n] children/*[2],self::overscore,children/*[2][@role!="overaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role!="underaccent"]'.split(","),["Rule","underscript","default",
+'[n] children/*[1]; [t] "\u00fcber"; [n] children/*[2]; [p] (pause:short)',"self::underscore"],'Rule,underscript-limits,default,[n] children/*[1]; [t] "von"; [n] children/*[2],self::underscore,@role="underover",children/*[2][@role!="underaccent"]'.split(","),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),'Rule{number-with-chars{default{[t] "Zahl"; [m] CQFspaceoutNumber (grammar:protected){self::number{@role="othernumber"{"" != translate(text(), "0123456789.,", ""){not(contains(@grammar, "protected"))'.split("{"),
+'Rule,decimal-period,default,[t] "Dezimalbruch"; [n] children/*[1] (grammar:spaceout); [t] "Komma mit Periode";  [n] children/*[3]/children/*[1] (grammar:spaceout),self::punctuated,@role="sequence",count(./content/*)=1,./content/*[1][@role="fullstop"],name(children/*[1])="number",children/*[1][@role="integer"],name(children/*[3])="overscore",children/*[3][@role="integer"],children/*[3]/children/*[2][@role="overaccent"],children/*[3]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,decimal-period,default,[t] "Dezimalbruch"; [n] children/*[1] (grammar:spaceout); [t] "mit Periode";  [n] children/*[2]/children/*[1] (grammar:spaceout);,self::infixop,@role="implicit",count(./children/*)=2,name(children/*[1])="number",children/*[1][@role="float"],name(children/*[2])="overscore",children/*[2][@role="integer"],children/*[2]/children/*[2][@role="overaccent"],children/*[2]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,decimal-period-singular,default,[t] "Dezimalbruch"; [n] children/*[1] (grammar:spaceout); [t] "Komma mit Periode";  [n] children/*[3]/children/*[1] (grammar:spaceout),self::punctuated,@role="sequence",count(./content/*)=1,./content/*[1][@role="fullstop"],name(children/*[1])="number",children/*[1][@role="integer"],name(children/*[3])="overscore",children/*[3][@role="integer"],children/*[3]/children/*[2][@role="overaccent"],children/*[3]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],string-length(./children/*[3]/children/*[1]/text())=1'.split(","),
+'Rule,decimal-period-singular,default,[t] "Dezimalbruch"; [n] children/*[1] (grammar:spaceout); [t] "mit Periode";  [n] children/*[2]/children/*[1] (grammar:spaceout);,self::infixop,@role="implicit",count(./children/*)=2,name(children/*[1])="number",children/*[1][@role="float"],name(children/*[2])="overscore",children/*[2][@role="integer"],children/*[2]/children/*[2][@role="overaccent"],children/*[2]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],string-length(./children/*[2]/children/*[1]/text())=1'.split(","),
+'Rule;number-with-spaces;default;[m] CQFspaceoutNumber (grammar:!spaceout:number);self::number;contains(@grammar, "spaceout")'.split(";"),'Rule;decimal-point;default;[t] "Komma";self::punctuation;@role="fullstop";contains(@grammar,"number")'.split(";"),'Rule,line-segment,default,[t] "die Strecke"; [n] children/*[1]/children/*[1]; [n] children/*[1]/children/*[2]; [p] (pause:short),self::overscore,@role="implicit",children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],name(children/*[1])="infixop",count(./children/*[1]/children/*)=2'.split(","),
+'Rule,conjugate,Bar_Conjugate,[t] "die komplexe Konjugation von"; [n] children/*[1],self::overscore,children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),'Rule;defined-by;default;[t] "ist definiert als" (pause:short);self::overscore;@role="equality";@embellished="relation";name(children/*[2])="text";children/*[2][text()]="def"'.split(";"),'Rule,adorned-sign,default,[n] children/*[1] ; [t] "Zeichen mit dar\u00fcberstehendem"; [n] children/*[2],self::overscore,@embellished,name(children/*[1])="operator" or name(children/*[1])="relation"'.split(","),
+'Rule;factorial;default;[t] "Fakult\u00e4t";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),["Rule","tensor-base","default","[n] children/*[2]; [n] children/*[3]; [n] children/*[1]; [n] children/*[4]; [n] children/*[5]","self::tensor"],'Rule{left-super{default{[t] "linker oberer Index"; [n] text(){self::*[@role="leftsuper"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{left-super{default{[t] "linker oberer Index"; [m] children/*{self::punctuated{@role="leftsuper"{not(contains(@grammar,"combinatorics"))'.split("{"),
+'Rule{left-sub{default{[t] "linker unterer Index"; [n] text(){self::*[@role="leftsub"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{left-sub{default{[t] "linker unterer Index"; [m] children/*{self::punctuated{@role="leftsub"{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-super{default{[t] "rechter oberer Index"; [n] text(){self::*[@role="rightsuper"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-super{default{[t] "rechter oberer Index"; [m] children/*{self::punctuated{@role="rightsuper"{not(contains(@grammar,"combinatorics"))'.split("{"),
+'Rule{right-sub{default{[t] "rechter unterer Index"; [n] text(){self::*[@role="rightsub"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-sub{default{[t] "rechter unterer Index"; [m] children/*{self::punctuated{@role="rightsub"{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule;empty-index;default;[p] (pause:medium);self::empty;@role="rightsub" or @role="rightsuper" or @role="leftsub" or @role="leftsuper"'.split(";"),'Rule,combinatorics,default,[n] children/*[2] (grammar:combinatorics); [n] children/*[1]; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="P" or text()="C"]'.split(","),
+'Rule,choose,CombinationPermutation_ChoosePermute,[n] children/*[4] (grammar:combinatorics); [t] "aus"; [n] children/*[2] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="C"]'.split(","),'Rule,permute,CombinationPermutation_ChoosePermute,[n] children/*[4] (grammar:combinatorics); [t] "Permutionen von"; [n] children/*[2] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="P"]'.split(",")]};
+sre.Grammar.getInstance().setPreprocessor("numbers2alpha",sre.ClearspeakUtil.numbersToAlpha);sre.ClearspeakRules={domain:"clearspeak",functions:[["CTXF","CTXFpauseSeparator",sre.StoreUtil.pauseSeparator],["CTXF","CTXFnodeCounter",sre.ClearspeakUtil.nodeCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CSF","CSFvulgarFraction",sre.NumbersUtil.vulgarFraction],["CQF","CQFvulgarFractionSmall",sre.ClearspeakUtil.isSmallVulgarFraction],["CQF","CQFcellsSimple",sre.ClearspeakUtil.allCellsSimple],["CSF","CSFordinalExponent",sre.ClearspeakUtil.ordinalExponent],["CSF","CSFwordOrdinal",
+sre.ClearspeakUtil.wordOrdinal],["CQF","CQFisCapital",sre.ClearspeakUtil.isCapitalLetter],["CQF","CQFmatchingFences",sre.ClearspeakUtil.matchingFences],["CSF","CSFnestingDepth",sre.ClearspeakUtil.nestingDepth],["CQF","CQFfencedArguments",sre.ClearspeakUtil.fencedArguments],["CQF","CQFsimpleArguments",sre.ClearspeakUtil.simpleArguments],["CQF","CQFisHyperbolic",sre.ClearspeakUtil.isHyperbolic],["CQF","CQFisLogarithm",sre.ClearspeakUtil.isLogarithmWithBase],["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber],
+["CQF","CQFfirstCurrency",sre.ClearspeakUtil.firstCurrency],["CQF","CQFlastCurrency",sre.ClearspeakUtil.lastCurrency]],rules:['Rule{collapsed{default{[t] "collapsed"; [n] . (engine:modality=summary,grammar:collapsed){self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),["Rule","stree","default","[n] ./*[1]","self::stree"],["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::number;contains(@grammar, "protected")'.split(";"),
+["Rule","omit-empty","default",'[p] (pause:"short")',"self::empty"],'Rule{font{default{[t] @font (grammar:localFont); [n] self::* (grammar:ignoreFont=@font,pause:"short"){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] self::* (grammar:ignoreFont=@font,pause:"short"){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] self::* (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),
+'Rule{german-font{default{[t] "German"; [n] self::* (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font="fraktur"'.split("{"),'Rule{german-font{default{[t] "bold German"; [n] self::* (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font="bold-fraktur"'.split("{"),["Rule","text","default","[n] text()","self::text"],'Rule;capital;default;[n] text() (pitch:0.6,grammar:ignoreCaps="cap");self::identifier;@role="latinletter" or @role="greekletter" or @role="simple function";CQFisCapital'.split(";"),
+'Rule;capital;Caps_SayCaps;[n] text();self::identifier;@role="latinletter" or @role="greekletter";CQFisCapital'.split(";"),'Rule{capital{Caps_SayCaps{[p] (pause:"short"); [n] text(){self::identifier{@role="latinletter" or @role="greekletter"{CQFisCapital{preceding-sibling::*[1]{not(name(preceding-sibling::*[1])="function"){not(contains(@grammar, "angle"))'.split("{"),'Rule;capital;Caps_SayCaps;[n] text() (pause:"short");self::identifier;@role="latinletter" or @role="greekletter";CQFisCapital;following-sibling::*[1]'.split(";"),
+'Rule{capital{Caps_SayCaps{[p] (pause:"short"); [n] text() (pause:"short"){self::identifier{@role="latinletter" or @role="greekletter"{CQFisCapital{preceding-sibling::*[1]{following-sibling::*[1]{not(name(preceding-sibling::*[1])="function"){not(contains(@grammar, "angle"))'.split("{"),'Rule,punctuation-lr,default,[p] (pause:"short"); [n] text() (pause:"short"),self::punctuation,@role="comma"'.split(","),'Rule;punctuation;default;[n] text();self::punctuation;@role="comma";not(preceding-sibling::*[1]/children);not(following-sibling::*[1]/children)'.split(";"),
+'Rule,punctuation-l,default,[p] (pause:"short"); [n] text(),self::punctuation,@role="comma",not(following-sibling::*[1]/children)'.split(","),'Rule;punctuation-r;default;[n] text() (pause:"short");self::punctuation;@role="comma";not(preceding-sibling::*[1]/children)'.split(";"),'Rule;ellipsis;Ellipses_AndSoOn;[t] "and so on";self::punctuation;@role="ellipsis";not(following-sibling::*[1]);not(preceding-sibling::*[last()][@role="ellipsis"])'.split(";"),'Rule;ellipsis;Ellipses_AndSoOn;[t] "and so on up to";self::punctuation;@role="ellipsis";preceding-sibling::*[1];following-sibling::*[1]'.split(";"),
+'Rule,vbar-evaluated,default,[n] children/*[1]; [p] (pause:"short"); [t] "evaluated at"; [n] content/*[1]/children/*[2]; [p] (pause:"short"),self::punctuated,@role="endpunct",content/*[1][@role="vbar"],content/*[1][@embellished],name(content/*[1])="subscript"'.split(","),'Rule,vbar-evaluated,default,[n] children/*[1]; [p] (pause:"short"); [t] "evaluated at"; [n] content/*[1]/children/*[2]; [p] (pause:"short"); [t] "minus the same expression evaluated at"; [n] content/*[1]/children/*[1]/children/*[2]; [p] (pause:"short"),self::punctuated,@role="endpunct",content/*[1][@role="vbar"],content/*[1][@embellished],name(content/*[1])="superscript",name(content/*[1]/children/*[1])="subscript"'.split(","),
+'Rule;vbar-such-that;VerticalLine_SuchThat;[t] "such that";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;vbar-such-that;VerticalLine_Divides;[t] "divides";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;vbar-such-that;VerticalLine_Given;[t] "given";self::punctuation;@role="vbar";not(parent::*/parent::*[@embellished="punctuation"])'.split(";"),'Rule;set-member;default;[t] "in";self::operator;@role="set extended";text()="\u2208" or text()="\u220a"'.split(";"),
+["SpecializedRule","set-member","default","SetMemberSymbol_Member",'[t] "member of"'],["SpecializedRule","set-member","default","SetMemberSymbol_Element",'[t] "element of"'],["SpecializedRule","set-member","default","SetMemberSymbol_Belongs",'[t] "belonging to"'],'Rule;set-not-member;default;[t] "not in";self::operator;@role="set extended";text()="\u2209"'.split(";"),["SpecializedRule","set-not-member","default","SetMemberSymbol_Member",'[t] "not member of"'],["SpecializedRule","set-not-member","default",
+"SetMemberSymbol_Element",'[t] "not element of"'],["SpecializedRule","set-not-member","default","SetMemberSymbol_Belongs",'[t] "not belonging to"'],'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"],self::*'.split(","),'Rule,feet,default,[n] children/*[1]; [t] "feet",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2032"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,foot,default,[n] children/*[1]; [t] "foot",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2032"],children/*[1][text()="1"],not(preceding-sibling::*[@role="degree"])'.split(","),
+'Rule,inches,default,[n] children/*[1]; [t] "inches",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2033"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,inch,default,[n] children/*[1]; [t] "inch",self::superscript,children/*[2][@role="prime"],name(children/*[1])="number",children/*[2][text()="\u2033"],children/*[1][text()="1"],not(preceding-sibling::*[@role="degree"])'.split(","),'Rule,minutes,default,[p] (pause:short); [n] children/*[1]; [t] "minutes",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2032"]'.split(","),
+'Rule,minute,default,[p] (pause:short); [n] children/*[1]; [t] "minute",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),'Rule,seconds,default,[p] (pause:short); [n] children/*[1]; [t] "seconds",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2033"]'.split(","),'Rule,second,default,[p] (pause:short); [n] children/*[1]; [t] "second",self::superscript,children/*[2][@role="prime"],preceding-sibling::*[@role="degree"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),
+'Rule,degrees-angle,Prime_Angle,[n] children/*[1]; [t] "degrees"; [p] (pause:short),self::punctuation,@role="degree"'.split(","),'Rule,degree-angle,Prime_Angle,[n] children/*[1]; [t] "degree"; [p] (pause:short),self::punctuation,@role="degree",children/*[1][text()="1"]'.split(","),'Rule{minutes-angle{Prime_Angle{[n] children/*[1]; [t] "minutes"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2032"]'.split("{"),
+'Rule,minute-angle,Prime_Angle,[n] children/*[1]; [t] "minute"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),'Rule{seconds-angle{Prime_Angle{[n] children/*[1]; [t] "seconds"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2033"]'.split("{"),
+'Rule,second-angle,Prime_Angle,[n] children/*[1]; [t] "second"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),'Rule{feet-length{Prime_Length{[n] children/*[1]; [t] "feet"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2032"]'.split("{"),
+'Rule,foot-length,Prime_Length,[n] children/*[1]; [t] "foot"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2032"],children/*[1][text()="1"]'.split(","),'Rule{inches-length{Prime_Length{[n] children/*[1]; [t] "inches"; [p] (pause:short){self::superscript{children/*[2][@role="prime"]{name(children/*[1])="number" or (children/*[1][@role="latinletter"] and ""=translate(children/*[1]/text(),"abcdefghijklmnopqrstuvwxyz", "")){children/*[2][text()="\u2033"]'.split("{"),
+'Rule,inch-length,Prime_Length,[n] children/*[1]; [t] "inch"; [p] (pause:short),self::superscript,children/*[2][@role="prime"],children/*[2][text()="\u2033"],children/*[1][text()="1"]'.split(","),["Rule","punctuated","default","[m] children/*","self::punctuated"],["Rule","function","default","[n] text()","self::function"],'Rule{function-article{default{[t] "the"; [n] text(){self::function{@role="prefix function"{contains(@grammar, "addArticle")'.split("{"),["Rule","appl","default",'[n] children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:"short")',
+"self::appl"],'Rule,appl-simple,default,[n] children/*[1]; [t] "of"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="simple function",name(children/*[2])="appl"'.split(","),'Rule,appl-simple,default,[n] children/*[1]; [t] "of"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="simple function",name(children/*[2])="fenced",name(children/*[2]/children/*[1])="appl"'.split(","),["Rule","appl","Functions_None",'[p] (pause:"short"); [n] children/*[1]; [t] "times"; [n] children/*[2]; [p] (pause:"short")',
+"self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,@role="prefix function"'.split(","),'Rule{binary-operation{ImpliedTimes_MoreImpliedTimes{[n] . (grammar:impliedTimes); [p] (pause:"short"){self::appl{@role="prefix function"{parent::*/parent::infixop[@role="implicit"]{following-sibling::*{not(contains(@grammar, "impliedTimes"))'.split("{"),'Rule{function-prefix-simple-arg{default{[n] children/*[1]; [n] children/*[2]{self::appl{@role="prefix function"{name(children/*[2])="fenced"{contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){name(children/*[2]/children/*[1])!="number"{name(children/*[2]/children/*[1])!="identifier"{name(children/*[2]/children/*[1])!="appl"'.split("{"),
+'Rule,function-prefix-embell,default,[p] (pause:"short"); [n] children/*[1]; [n] children/*[2]; [p] (pause:"short"); ,self::appl,@role="prefix function",name(children/*[1])!="function"'.split(","),'Rule{function-prefix-fenced-or-frac-arg{default{[p] (pause:"short"); [n] children/*[1] (grammar:addArticle); [t] "of"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or name(children/*[2])="fraction" or (name(children/*[2])!="fenced" and not(contains(children/*[2]/@annotation, "clearspeak:simple"))){self::*'.split("{"),
+'Rule,function-prefix-subscript,default,[p] (pause:"short"); [n] children/*[1] (grammar:addArticle); [t] "of"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",name(children/*[1])="subscript",self::*'.split(","),'Rule{function-ln{default{[n] children/*[1]; [n] children/*[2]{self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(following-sibling::*){not(contains(@grammar, "NatLog"))'.split("{"),'Rule{function-ln{default{[n] children/*[1]; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(contains(@grammar, "NatLog"))'.split("{"),
+'Rule{function-ln{default{[n] children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{name(children/*[2])="fenced"{not(contains(@grammar, "NatLog"))'.split("{"),'Rule;function-ln;Log_LnAsNaturalLog;[n] . (grammar:NatLog);self::appl;@role="prefix function";content/*[2][text()="ln"];not(following-sibling::*);not(contains(@grammar, "NatLog"))'.split(";"),'Rule{function-ln{Log_LnAsNaturalLog{[n] . (grammar:NatLog); [p] (pause:"short"){self::appl{@role="prefix function"{content/*[2][text()="ln"]{not(contains(@grammar, "NatLog"))'.split("{"),
+'Rule{function-prefix-as-exp{default{[n] children/*[1]; [t] "of"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(parent::*/parent::*)="superscript"{not(following-sibling::*){(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or name(children/*[2])="fraction" or (name(children/*[2])!="fenced" and not(contains(children/*[2]/@annotation, "clearspeak:simple")))'.split("{"),'Rule,function-prefix-subscript-as-exp,default,[n] children/*[1]; [t] "of"; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",name(parent::*/parent::*)="superscript",not(following-sibling::*),name(children/*[1])="subscript"'.split(","),
+'Rule,function-prefix-hyper,default,[p] (pause:"short"); [n] children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",CQFisHyperbolic'.split(","),'Rule{function-prefix-inverse{default{[p] (pause:"short"); [t] "the inverse"; [n] children/*[1]/children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule,appl-triginverse,Trig_TrigInverse,[p] (pause:"short"); [n] children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:"short"),self::appl,@role="prefix function",name(children/*[1])="superscript",name(children/*[1]/children/*[2])="prefixop",children/*[1]/children/*[2][@role="negative"],children/*[1]/children/*[2]/children/*[1][text()="1"]'.split(","),'Rule{function-prefix-arc-simple{Trig_ArcTrig{[p] (pause:"short"); [t] "arc"; [n] children/*[1]/children/*[1]; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule{function-prefix-arc-simple{Trig_ArcTrig{[p] (pause:"short"); [t] "arc"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{name(children/*[2])="fenced"{children/*[2]/children/*[1][@role="prefix function"]{contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){not(contains(@grammar, "functions_none"))'.split("{"),
+'Rule{function-prefix-arc{Trig_ArcTrig{[p] (pause:"short"); [t] "arc"; [n] children/*[1]/children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:"short"){self::appl{@role="prefix function"{name(children/*[1])="superscript"{name(children/*[1]/children/*[2])="prefixop"{children/*[1]/children/*[2][@role="negative"]{children/*[1]/children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none")){(name(children/*[2])="fenced" and not(contains(children/*[2]/children/*[1]/@annotation, "clearspeak:simple"))) or (name(children/*[2])="fraction" and children/*[2][@role!="vulgar"])'.split("{"),
+'Rule{function-inverse{default{[n] children/*[1]; [t] "inverse"{self::superscript{@role="prefix function" or @role="simple function"{name(children/*[2])="prefixop"{children/*[2][@role="negative"]{children/*[2]/children/*[1][text()="1"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule,superscript-prefix-function,default,[t] "the"; [n] children/*[2] (grammar:ordinal); [t] "power of"; [n] children/*[1],self::superscript,@role="prefix function",name(children/*[2])="number",children/*[2][@role="integer"]'.split(","),
+'Rule,superscript-prefix-function,default,[t] "the"; [n] children/*[2] (grammar:ordinal); [t] "power of"; [n] children/*[1],self::superscript,@role="prefix function",name(children/*[2])="identifier"'.split(","),'Rule;function-inverse;Functions_None;[n] . (grammar:functions_none);self::superscript;@role="prefix function" or @role="simple function";name(children/*[2])="prefixop";children/*[2][@role="negative"];children/*[2]/children/*[1][text()="1"];not(contains(@grammar, "functions_none"))'.split(";"),
+["Rule","superscript","default",'[n] children/*[1]; [t] "raised to the exponent" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "end exponent" (pause:"short")',"self::superscript"],'Rule,superscript-simple-exponent,default,[n] children/*[1]; [t] "raised to the"; [n] children/*[2]; [t] "power" (pause:"short"),self::superscript,not(descendant::superscript)'.split(","),'Rule,superscript-simple-exponent-end,default,[n] children/*[1]; [t] "raised to the"; [n] children/*[2]; [t] "power",self::superscript,not(descendant::superscript),not(following-sibling::*)'.split(","),
+'Aliases;superscript-simple-exponent;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="number";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),'Aliases;superscript-simple-exponent;self::superscript;children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"];name(children/superscript/children/*[1])="fraction";contains(children/superscript/children/*[1]/@annotation, "clearspeak:simple")'.split(";"),
+["Aliases","superscript-simple-exponent","self::superscript",'children/superscript/children/*[2][text()="2"] or children/superscript/children/*[2][text()="3"]','name(children/superscript/children/*[1])="identifier"'],'Aliases;superscript-simple-exponent;self::superscript;children/*[2][@role="implicit"];count(children/*[2]/children/*)=2;contains(children/*[2]/children/*[1]/@annotation, "simple");name(children/*[2]/children/*[2])="superscript";(name(children/*[2]/children/*[2]/children/*[1])="number" and contains(children/*[2]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple")) or name(children/*[2]/children/*[2]/children/*[1])="identifier";children/*[2]/children/*[2]/children/*[2][text()="2"] or children/*[2]/children/*[2]/children/*[2][text()="3"]'.split(";"),
+'Rule,superscript-ordinal,default,[n] children/*[1]; [t] "to the"; [n] children/*[2] (grammar:ordinal); [t] "power" (pause:"short"),self::superscript,name(children/*[2])="number",children/*[2][@role="integer"]'.split(","),["Aliases","superscript-ordinal","self::superscript",'name(children/*[2])="identifier"','children/*[2][@role="latinletter" or @role="greekletter" or @role="otherletter"]'],'Rule,superscript-non-ordinal,default,[n] children/*[1]; [t] "to the"; [n] children/*[2]; [t] "power" (pause:"short"),self::superscript,children/*[2][@role="negative"],name(children/*[2]/children/*[1])="number",children/*[2]/children/*[1][@role="integer"]'.split(","),
+'Rule{superscript-simple-function{default{[t] "the"; [n] children/*[2] (grammar:ordinal); [t] "power of" (pause:"short"); [n] children/*[1]{self::superscript{name(children/*[1])="identifier"{children/*[1][@role="simple function"]{children/*[2][@role!="prime"]{not(contains(@grammar, "functions_none"))'.split("{"),'Rule;superscript-simple-function;Functions_None;[n] . (grammar:functions_none);self::superscript;name(children/*[1])="identifier";children/*[1][@role="simple function"];not(contains(@grammar, "functions_none"))'.split(";"),
+'Rule,superscript-ordinal,Exponent_Ordinal,[n] children/*[1]; [t] "to the"; [n] children/*[2] (grammar:ordinal); [p] (pause:"short"),self::superscript,name(children/*[2])="number",children/*[2][@role="integer"]'.split(","),'Rule,superscript-ordinal,Exponent_Ordinal,[n] children/*[1]; [t] "to the"; [n] children/*[2]; [p] (pause:"short"),self::superscript,name(children/*[2])="prefixop",children/*[2][@role="negative"],name(children/*[2]/children/*[1])="number",children/*[2]/children/*[1][@role="integer"]'.split(","),
+'Rule,superscript-ordinal,Exponent_Ordinal,[n] children/*[1]; [t] "to the"; [n] children/*[2] (grammar:ordinal); [p] (pause:"short"),self::superscript,name(children/*[2])="identifier",children/*[2][@role="latinletter" or @role="greekletter" or @role="otherletter"]'.split(","),'Rule,superscript-ordinal-default,Exponent_Ordinal,[n] children/*[1]; [t] "raised to the exponent" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "end exponent" (pause:"short"),self::superscript,children//superscript'.split(","),
+'Rule,superscript-ordinal,Exponent_OrdinalPower,[n] children/*[1]; [t] "to the"; [n] children/*[2] (grammar:ordinal); [t] "power"; [p] (pause:"short"),self::superscript,name(children/*[2])="number",children/*[2][@role="integer"]'.split(","),'Rule,superscript-ordinal,Exponent_OrdinalPower,[n] children/*[1]; [t] "to the"; [n] children/*[2]; [t] "power"; [p] (pause:"short"),self::superscript,name(children/*[2])="prefixop",children/*[2][@role="negative"],name(children/*[2]/children/*[1])="number",children/*[2]/children/*[1][@role="integer"]'.split(","),
+'Rule,superscript-ordinal,Exponent_OrdinalPower,[n] children/*[1]; [t] "to the"; [n] children/*[2] (grammar:ordinal); [t] "power"; [p] (pause:"short"),self::superscript,name(children/*[2])="identifier",children/*[2][@role="latinletter" or @role="greekletter" or @role="otherletter"]'.split(","),'Rule,superscript-ordinal-default,Exponent_OrdinalPower,[n] children/*[1]; [t] "raised to the exponent" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "end exponent" (pause:"short"),self::superscript,children//superscript'.split(","),
+["Rule","superscript-power","Exponent_AfterPower",'[n] children/*[1]; [t] "raised to the power"; [n] children/*[2] (grammar:afterPower); [p] (pause:"short")',"self::superscript"],'Rule,superscript-power-default,Exponent_AfterPower,[n] children/*[1]; [t] "raised to the exponent" (pause:"short"); [n] children/*[2]; [p] (pause:"short"); [t] "end exponent" (pause:"short"),self::superscript,children//superscript'.split(","),'Rule{exponent{default{[n] text() (join:"-"); [t] "th"{self::identifier{contains(@grammar, "ordinal")'.split("{"),
+'Rule;exponent;default;[t] CSFordinalExponent;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),'Rule;exponent;Exponent_Ordinal;[t] CSFwordOrdinal;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),'Rule;exponent;Exponent_Ordinal;[t] "zero";self::number;@role="integer";contains(@grammar, "ordinal");text()="0"'.split(";"),'Rule;exponent;Exponent_OrdinalPower;[t] CSFwordOrdinal;self::number;@role="integer";contains(@grammar, "ordinal");text()!="0"'.split(";"),
+'Rule;exponent;Exponent_OrdinalPower;[t] "zero";self::number;@role="integer";contains(@grammar, "ordinal");text()="0"'.split(";"),'Rule,square,default,[n] children/*[1]; [t] "squared",self::superscript,@role!="unit",children/*[2][text()="2"],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),self::*'.split(","),'Rule,cube,default,[n] children/*[1]; [t] "cubed",self::superscript,@role!="unit",children/*[2][text()="3"],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),self::*'.split(","),
+'Rule;paren-simple;default;[n] children/*[1];self::fenced;@role="leftright";contains(children/*[1]/@annotation, "clearspeak:simple");name(../..)!="superscript" and name(../..)!="subscript"'.split(";"),'Rule;paren-simple-exp;default;[n] children/*[1];self::fenced;@role="leftright";name(../..)="superscript";children/*[1][@role="integer"] or children/*[1][@role="float"] or (children/*[1][@role="vulgar"] and contains(children/*[1]/@annotation, "clearspeak:simple")) or children/*[1][@role="latinletter"] or children/*[1][@role="greekletter"] or children/*[1][@role="otherletter"]'.split(";"),
+'Rule;paren-simple-nested-func;default;[n] children/*[1];self::fenced;@role="leftright";name(../*[1])="identifier" or name(../*[1])="function";parent::*/parent::*[@role="simple function" or @role="prefix function"];children/*[1][@role="simple function" or @role="prefix function"];contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple") or name(children/*[1]/children/*[2]/children/*[1])="subscript" or name(children/*[1]/children/*[2]/children/*[1])="superscript" or children/*[1]/children/*[2]/children/*[1][@role="vulgar"] '.split(";"),
+'Rule{paren-simple-nested-func-no-bracket{Functions_None{[n] children/*[1];{self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{children/*[1][@role="simple function" or @role="prefix function"]{name(children/*[1]/children/*[1])="identifier" or name(children/*[1]/children/*[1])="function"{contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple"){name(children/*[1]/children/*[2]/children/*[1])="identifier" or name(children/*[1]/children/*[2]/children/*[1])="number"'.split("{"),
+'Rule,fences-open-close,default,[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"),self::fenced,@role="leftright"'.split(","),'Rule{paren-simple-nested-func{default{[p] (pause:"short"); [n] content/*[1]; [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2]; [p] (pause:"short"){self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{not(contains(children/*[1]/@annotation, "clearspeak:simple"))'.split("{"),
+'Rule{paren-simple-nested-func{Functions_None{[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"){self::fenced{@role="leftright"{name(../*[1])="identifier" or name(../*[1])="function"{parent::*/parent::*[@role="simple function" or @role="prefix function"]{children/*[1][@role="simple function" or @role="prefix function"]{contains(children/*[1]/children/*[2]/children/*[1]/@annotation, "clearspeak:simple") or name(children/*[1]/children/*[2]/children/*[1])="subscript" or name(children/*[1]/children/*[2]/children/*[1])="superscript" or children/*[1]/children/*[2]/children/*[1][@role="vulgar"] '.split("{"),
+["SpecializedRule","fences-open-close","default","Paren_Speak"],["Aliases","fences-open-close","self::fenced",'@role="composed function"'],["Rule","fence-silent","Paren_Silent",'[p] (pause:"short"); [n] children/*[1]; [p] (pause:"short")',"self::fenced"],'Rule,fences-open-close,ImpliedTimes_None,[p] (pause:"short"); [n] content/*[1] (grammar:spokenFence); [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2] (grammar:spokenFence); [p] (pause:"short"),self::fenced,@role="leftright",parent::*/parent::*[@role!="simple function"],parent::*/parent::*[@role!="prefix function"]'.split(","),
+'Rule;fence-nesting;Paren_SpeakNestingLevel;[n] text() (grammar:insertNesting=CSFnestingDepth);self::fence;contains(@grammar, "spokenFence");CQFmatchingFences'.split(";"),["Rule","fence-no-nesting","Paren_SpeakNestingLevel","[n] text()","self::fence"],'Rule,fences-points,Paren_CoordPoint,[t] "the point with coordinates"; [n] children/*[1],self::fenced,name(children/*[1])="punctuated",children/*[1][@role="sequence"]'.split(","),'Rule{fences-interval{Paren_Interval{[t] "the interval from"; [n] children/*[1]/children/*[1]; [t] "to"; [n] children/*[1]/children/*[3]; [p] (pause:"short"); [n] . (grammar:interval){self::fenced{not(contains(@grammar, "interval")){name(children/*[1])="punctuated"{children/*[1][@role="sequence"]{count(./children/*[1]/content/*)=1{children/*[1]/content/*[1][@role="comma"]'.split("{"),
+'Rule{interval-open{Paren_Interval{[t] "not including"; [n] children/*[1]/children/*[1]; [t] "or"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"'.split("{"),'Rule{interval-closed-open{Paren_Interval{[t] "including"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [t] "but not including"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()=")"'.split("{"),
+'Rule{interval-open-closed{Paren_Interval{[t] "not including"; [n] children/*[1]/children/*[1]; [p] (pause:"short"); [t] "but including"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()="]"'.split("{"),'Rule{interval-closed{Paren_Interval{[t] "including"; [n] children/*[1]/children/*[1]; [t] "and"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()="]"'.split("{"),
+'Rule{interval-open-inf-r{Paren_Interval{[t] "not including"; [n] children/*[1]/children/*[1]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"{children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e")'.split("{"),'Rule{interval-open-inf-l{Paren_Interval{[t] "not including"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()=")"{children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split("{"),
+'Rule;interval-open-inf-lr;Paren_Interval;;self::fenced;contains(@grammar, "interval");content/*[1]/text()="(";content/*[2]/text()=")";children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e");children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split(";"),'Rule{interval-closed-open-inf{Paren_Interval{[t] "including"; [n] children/*[1]/children/*[1]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="["{content/*[2]/text()=")"{children/*[1]/children/*[3]/text()="\u221e" or (name(children/*[1]/children/*[3])="prefixop" and children/*[1]/children/*[3]/children/*[1]/text()="\u221e")'.split("{"),
+'Rule{interval-open-closed-inf{Paren_Interval{[t] "including"; [n] children/*[1]/children/*[3]{self::fenced{contains(@grammar, "interval"){content/*[1]/text()="("{content/*[2]/text()="]"{children/*[1]/children/*[1]/text()="\u221e" or (name(children/*[1]/children/*[1])="prefixop" and children/*[1]/children/*[1]/children/*[1]/text()="\u221e")'.split("{"),'Rule,paren-nested-embellished-funcs,Functions_None,[p] (pause:"short"); [n] content/*[1]; [p] (pause:"short"); [n] children/*[1]; [p] (pause:"short"); [n] content/*[2]; [p] (pause:"short"),self::fenced,@role="leftright",name(../..)="appl",name(children/*[1]) = "appl",preceding-sibling::*/descendant-or-self::*[@role="subsup"] or children/*[1]/descendant-or-self::*[@role="subsup"]'.split(","),
+'Rule;set-empty;default;[t] "the empty set";self::fenced;@role="set empty"'.split(";"),'Rule,set-extended,default,[t] "the set of all"; [n] children/*[1]/children/*[1]; [t] "such that"; [n] children/*[1]/children/*[3],self::fenced,@role="set extended"'.split(","),'Rule,set-collection,default,[t] "the set"; [n] children/*[1],self::fenced,@role="set collection"'.split(","),["Aliases","set-collection","self::fenced",'@role="set singleton"'],'Rule,set-extended,Sets_woAll,[t] "the set of"; [n] children/*[1]/children/*[1]; [t] "such that"; [n] children/*[1]/children/*[3],self::fenced,@role="set extended"'.split(","),
+'Rule;set-collection;Sets_SilentBracket;[n] children/*[1];self::fenced;@role="set collection"'.split(";"),["Rule","subscript","default",'[p] (pause:short); [n] children/*[1]; [t] "sub"; [n] children/*[2]; [p] (pause:short)',"self::subscript"],'Rule,subscript-base,default,[n] children/*[1]; [t] "base"; [n] children/*[2],self::subscript,CQFisLogarithm'.split(","),'Rule{subscript-index{default{[n] children/*[1]; [t] "sub"; [n] children/*[2]{self::subscript{contains(@grammar, "simpleDet")'.split("{"),
+["Rule","fraction","default",'[p] (pause:short); [t] "the fraction with numerator"; [n] children/*[1]; [p] (pause:short); [t] "and denominator"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],'Rule,fraction,Functions_None,[p] (pause:short); [t] "the fraction with numerator"; [n] children/*[1]; [p] (pause:short); [t] "and denominator"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="appl" or name(children/*[2])="appl"'.split(","),'Rule{simple-fraction{default{[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short){self::fraction{contains(children/*[1]/@annotation, "clearspeak:simple") or contains(children/*[1]/@annotation, "clearspeak:unit"){contains(children/*[2]/@annotation, "clearspeak:simple") or contains(children/*[2]/@annotation, "clearspeak:unit")'.split("{"),
+'Rule,simple-vulgar-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short),self::fraction,@role="vulgar"'.split(","),'Rule,simple-text-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="text",name(children/*[2])="text"'.split(","),'Rule,simple-text-fraction,default,[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short),self::fraction,name(children/*[1])="infixop",children/*[1][@role="unit"],name(children/*[2])="text"'.split(","),
+'Rule;vulgar-fraction;default;[t] CSFvulgarFraction;self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["Rule","fraction","Fraction_Over",'[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_OverEndFrac",'[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short); [t] "end fraction"; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_FracOver",'[p] (pause:short); [t] "the fraction"; [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short)',
+"self::fraction"],["Rule","fraction","Fraction_Per",'[p] (pause:short); [n] children/*[1]; [t] "per"; [n] children/*[2]; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_GeneralEndFrac",'[p] (pause:short); [t] "the fraction with numerator"; [n] children/*[1]; [p] (pause:short); [t] "and denominator"; [n] children/*[2]; [p] (pause:short); [t] "end fraction"; [p] (pause:short)',"self::fraction"],["Rule","fraction","Fraction_General",'[p] (pause:short); [t] "the fraction with numerator"; [n] children/*[1]; [p] (pause:short); [t] "and denominator"; [n] children/*[2]; [p] (pause:short)',
+"self::fraction"],'Rule;simple-vulgar-fraction;Fraction_Ordinal;[t] CSFvulgarFraction;self::fraction;@role="vulgar"'.split(";"),'Rule{fraction{Fraction_EndFrac{[p] (pause:short); [n] . (grammar:endfrac); [t] "end fraction"; [p] (pause:short){self::fraction{not(contains(@grammar, "endfrac")){not(contains(children/*[1]/@annotation, "clearspeak:unit")){not(contains(children/*[2]/@annotation, "clearspeak:unit"))'.split("{"),'Rule{vulgar-fraction{Fraction_EndFrac{[p] (pause:short); [n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short){self::fraction{name(children/*[1])="fraction"{name(children/*[2])="fraction"{contains(children/*[1]/@annotation, "clearspeak:simple"){contains(children/*[2]/@annotation, "clearspeak:simple")'.split("{"),
+'Rule;simple-vulgar-fraction;Fraction_EndFrac;[t] CSFvulgarFraction;self::fraction;@role="vulgar";contains(@annotation, "clearspeak:simple");self::*'.split(";"),["Rule","sqrt","default",'[t] "the square root of"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short)',"self::sqrt"],'Rule,sqrt-nested,default,[p] (pause: "short"); [t] "the square root of"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),
+'Rule,negative-sqrt,default,[t] "the negative square root of"; [n] children/*[1]/children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::prefixop,@role="negative",name(children/*[1])="sqrt"'.split(","),'Rule,negative-sqrt,default,[p] (pause: "short"); [t] "the negative square root of"; [n] children/*[1]/children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::prefixop,@role="negative",name(children/*[1])="sqrt",not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),'Rule,sqrt-plus-minus,Roots_PosNegSqRoot,[t] "the positive square root of"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),
+'Rule,sqrt-nested-plus-minus,Roots_PosNegSqRoot,[p] (pause: "short"); [t] "the positive square root of"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),'Rule,sqrt-plus-minus,Roots_PosNegSqRootEnd,[t] "the positive square root of"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),
+'Rule,sqrt-nested-plus-minus,Roots_PosNegSqRootEnd,[p] (pause: "short"); [t] "the positive square root of"; [n] children/*[1] (grammar:EndRoot=false); [p] (pause:short),self::sqrt,not(preceding-sibling::*),ancestor::sqrt|ancestor::root,parent::stree or not(parent::*/parent::infixop[@role="addition"]) or (parent::*/parent::*[1]/text()!="\u00b1" and parent::*/parent::*/text()!="\u2213")'.split(","),'Rule{sqrt-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "end root"; [p] (pause:short){self::sqrt{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule{negative-sqrt-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "end root"; [p] (pause:short){self::prefixop{@role="negative"{name(children/*[1])="sqrt"{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{sqrt-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "end root"; [p] (pause:short){self::sqrt{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{negative-sqrt-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "end root"; [p] (pause:short){self::prefixop{@role="negative"{name(children/*[1])="sqrt"{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule,cube,default,[t] "the cube root of"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,children/*[1][text()="3"]'.split(","),'Rule,cube-nested,default,[p] (pause:short); [t] "the cube root of"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,children/*[1][text()="3"],not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),["Rule","root","default",'[t] "the"; [n] children/*[1] (grammar:ordinal); [t] "root of"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short)',
+"self::root"],'Rule,root-nested,default,[p] (pause:short); [t] "the"; [n] children/*[1] (grammar:ordinal); [t] "root of"; [n] children/*[2] (grammar:EndRoot=false); [p] (pause:short),self::root,not(preceding-sibling::*),ancestor::sqrt|ancestor::root'.split(","),'Rule{root-endroot{Roots_RootEnd{[n] . (grammar:EndRoot); [t] "end root"; [p] (pause:short){self::root{not(contains(@grammar, "EndRoot"))'.split("{"),'Rule{root-endroot{Roots_PosNegSqRootEnd{[n] . (grammar:EndRoot); [t] "end root"; [p] (pause:short){self::root{not(contains(@grammar, "EndRoot"))'.split("{"),
+'Rule,negative,default,[t] "negative"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),'Rule,positive,default,[t] "positive"; [n] children/*[1],self::prefixop,@role="positive"'.split(","),'Rule,angle-measure,default,[t] "the measure of"; [n] content/*[1]; [n] children/*[2] (grammar:angle),self::infixop,content/*[1]/text()="\u2220",children/*[1][text()="m"]'.split(","),["Rule","prefix","default","[m] content/* (grammar:prefix); [n] children/*[1]","self::prefixop"],["Rule","postfix","default",
+"[n] children/*[1]; [m] content/* (grammar:postfix)","self::postfixop"],'Rule{set-prefix-operators{default{[t] "the"; [n] self::* (grammar:!prefix); [t] "of"{self::*{contains(@grammar,"prefix"){descendant-or-self::*/text()="\u2229" or descendant-or-self::*/text()="\u222a"{self::*{self::*{self::*'.split("{"),["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule,binary-operation,ImpliedTimes_MoreImpliedTimes,[m] children/* (sepFunc:CTXFcontentIterator);,self::infixop,@role="implicit"'.split(","),
+'Rule,binary-operation-pause,default,[p] (pause:short); [m] children/* (sepFunc:CTXFcontentIterator);,self::infixop,@role="implicit",name(children/*[1])="appl"'.split(","),'Rule,binary-operation-pause,default,[m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:short),self::infixop,@role="implicit",name(children/*[last()])="appl"'.split(","),'Rule,binary-operation-pause,default,[p] (pause:short); [m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:short),self::infixop,@role="implicit",name(children/*[1])="appl",name(children/*[last()])="appl"'.split(","),
+'Rule;implicit-times;default;[p] (pause:short);self::operator;@role="multiplication";text()="\u2062"'.split(";"),'Rule implicit-times default  self::operator @role="multiplication" text()="\u2062" CQFsimpleArguments'.split(" "),'Rule;implicit-times;default;[n] text();self::operator;@role="multiplication";text()="\u2062";CQFfencedArguments'.split(";"),'Rule;implicit-times;ImpliedTimes_MoreImpliedTimes;[n] text();self::operator;@role="multiplication";text()="\u2062"'.split(";"),'Rule implicit-times ImpliedTimes_None  self::operator @role="multiplication" text()="\u2062"'.split(" "),
+'Rule{binary-operation-simple{default{[m] children/* (rate:"0.5"); [p] (pause:short){self::infixop{@role="implicit"{contains(@annotation, "clearspeak:simple"){not(contains(@grammar, "inFrac"))'.split("{"),'Rule;simple-in-fraction;default;[n] . (rate:"0.5",grammar:inFrac);self::*;contains(@annotation, "clearspeak:simple");not(contains(@grammar, "inFrac"));name(.)!="identifier";name(.)!="function";name(.)!="number";name(parent::*/parent::*)="fraction";not(preceding-sibling::*)'.split(";"),'Rule;operators-after-power;Exponent_AfterPower;[m] children/* (rate:"0.5");self::infixop;@role="implicit";contains(@grammar, "afterPower")'.split(";"),
+["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],'Rule;natural-numbers;default;[t] "the natural numbers";self::identifier;text()="\u2115" or (text()="N" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule;integers;default;[t] "the integers";self::identifier;text()="\u2124" or (text()="Z" and @font="double-struck");self::*;self::*;self::*'.split(";"),
+'Rule;rational-numbers;default;[t] "the rational numbers";self::identifier;text()="\u211a" or (text()="Q" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule;real-numbers;default;[t] "the real numbers";self::identifier;text()="\u211d" or (text()="R" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule;complex-numbers;default;[t] "the complex numbers";self::identifier;text()="\u2102" or (text()="C" and @font="double-struck");self::*;self::*;self::*'.split(";"),'Rule,natural-numbers-super,default,[t] "n" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2115" or (children/*[1]/text()="N" and @font="double-struck"),self::*,self::*,self::*'.split(","),
+'Rule,integers-super,default,[t] "z" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule,rational-numbers-super,default,[t] "q" (join: "-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule,real-numbers-super,default,[t] "r" (join:"-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u211d" or (children/*[1]/text()="R" and @font="double-struck"),self::*,self::*,self::*'.split(","),
+'Rule,complex-numbers-super,default,[t] "c" (join:"-"); [n] children/*[2] (grammar:numbers2alpha),self::superscript,children/*[1]/text()="\u2102" or (children/*[1]/text()="C" and @font="double-struck"),self::*,self::*,self::*'.split(","),'Rule;natural-numbers-with-zero;default;[t] "the natural numbers with zero";self::subscript;children/*[1]/text()="\u2115" or (children/*[1]/text()="N" and @font="double-struck");children/*[2]/text()="0"'.split(";"),'Rule;positive-integers;default;[t] "the positive integers";self::superscript;children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck");children/*[2]/text()="+";self::*;self::*;self::*'.split(";"),
+'Rule;positive-integers;default;[t] "the negative integers";self::superscript;children/*[1]/text()="\u2124" or (children/*[1]/text()="Z" and @font="double-struck");children/*[2]/text()="-";self::*;self::*;self::*'.split(";"),'Rule;positive-rational-numbers;default;[t] "the positive rational numbers";self::superscript;children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck");children/*[2]/text()="+";self::*;self::*;self::*'.split(";"),'Rule;negative-rational-numbers;default;[t] "the negative rational numbers";self::superscript;children/*[1]/text()="\u211a" or (children/*[1]/text()="Q" and @font="double-struck");children/*[2]/text()="-";self::*;self::*;self::*'.split(";"),
+'Rule,fences-neutral,default,[p] (pause:short); [t] "the absolute value of"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),'Rule,fences-neutral,AbsoluteValue_AbsEnd,[p] (pause:short); [t] "the absolute value of"; [n] children/*[1]; [p] (pause: short); [t] "end absolute value"; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+'Rule,fences-neutral,AbsoluteValue_Cardinality,[p] (pause:short); [t] "the cardinality of"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),'Rule,fences-neutral,AbsoluteValue_Determinant,[p] (pause:short); [t] "the determinant of"; [n] children/*[1]; [p] (pause: short),self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["Rule","matrix","default",'[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:"); [p] (pause:long)',"self::matrix"],'Rule{matrix-simple{default{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:",grammar:simpleDet); [p] (pause:long){self::matrix{count(children/*)<4{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+'Rule,matrix-trivial,default,[t] "the 1 by 1 matrix with entry"; [n] children/*[1]; [p] (pause:long),self::vector,@role="squarematrix"'.split(","),'Rule{determinant{default{[t] "the determinant of the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="determinant"{count(children/*)<4{CQFcellsSimple'.split("{"),'Rule{determinant-simple{default{[t] "the determinant of the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:"); [p] (pause:long){self::matrix{@role="determinant"'.split("{"),
+["Rule","matrix-vector","default",'[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "column matrix"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:",grammar:simpleDet); [p] (pause:long)',"self::vector"],["SpecializedRule","matrix-vector","default","Matrix_SpeakColNum"],'Rule{matrix-vector-simple{default{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "column matrix"; [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::vector{count(children/*)<4{CQFcellsSimple{@role!="squarematrix"'.split("{"),
+["Rule","matrix-vector-simple","Matrix_SilentColNum",'[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "column matrix"; [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long)',"self::vector"],'Rule{matrix-row-vector{default{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "row matrix"; [p] (pause:long); [m] children/*[1]/children/* (ctxtFunc:CTXFnodeCounter,context:"Column-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),
+["SpecializedRule","matrix-row-vector","default","Matrix_SpeakColNum"],'Rule{matrix-row-vector-simple{default{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "row matrix"; [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),'Rule{matrix-row-vector-simple{Matrix_SilentColNum{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "row matrix"; [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),
+'Rule;matrix-row-simple;default;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short");self::row;contains(@grammar, "simpleDet")'.split(";"),["Rule","matrix-row-simple","Matrix_SilentColNum",'[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short")',"self::row"],'Rule;line-simple;default;[n] children/*[1];self::line;contains(@grammar, "simpleDet")'.split(";"),["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"Column-,- ",sepFunc:CTXFpauseSeparator,separator:"medium"); [p] (pause:long)',
+"self::row"],["SpecializedRule","matrix-row","default","Matrix_SpeakColNum"],["Rule","matrix-cell","default","[n] children/*[1]","self::cell"],'Rule{matrix-end-matrix{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "end matrix"{self::matrix{not(contains(@grammar, "EndMatrix"))'.split("{"),'Rule{matrix-end-vector{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "end matrix"{self::vector{not(contains(@grammar, "EndMatrix"))'.split("{"),'Rule{matrix-end-determinant{Matrix_EndMatrix{[n] . (grammar:EndMatrix); [t] "end determinant"{self::matrix{@role="determinant"{not(contains(@grammar, "EndMatrix"))'.split("{"),
+["Rule","vector","Matrix_Vector",'[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "column vector"; [p] (pause:long); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:",grammar:simpleDet); [p] (pause:long)',"self::vector"],["SpecializedRule","vector","Matrix_Vector","Matrix_EndVector"],'Rule{vector-simple{Matrix_Vector{[t] "the"; [t] count(children/*);  [t] "by"; [t] count(children/*[1]/children/*); [t] "column vector"; [p] (pause:long); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::vector{count(children/*)<4{CQFcellsSimple'.split("{"),
+["SpecializedRule","vector-simple","Matrix_Vector","Matrix_EndVector"],'Rule{row-vector{Matrix_Vector{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "row vector"; [p] (pause:long); [m] children/*[1]/children/* (ctxtFunc:CTXFnodeCounter,context:"Column-:",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"'.split("{"),["SpecializedRule","row-vector","Matrix_Vector","Matrix_EndVector"],'Rule{row-vector-simple{Matrix_Vector{[t] "the"; [t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "row vector"; [p] (pause:long); [m] children/*[1]/children/* (sepFunc:CTXFpauseSeparator,separator:"short",grammar:simpleDet); [p] (pause:long){self::matrix{@role="rowvector"{count(children/*[1]/children/*)<4{CQFcellsSimple'.split("{"),
+["SpecializedRule","row-vector-simple","Matrix_Vector","Matrix_EndVector"],'Rule{vector-end-matrix{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "end matrix"{self::matrix{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule{vector-end-vector{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "end vector"{self::vector{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule{vector-end-vector{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "end vector"{self::matrix{@role="rowvector"{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),
+'Rule{vector-end-determinant{Matrix_EndVector{[n] . (grammar:EndMatrix); [t] "end determinant"{self::matrix{@role="determinant"{not(contains(@grammar, "EndMatrix")){self::*'.split("{"),'Rule,binomial,Matrix_Combinatoric,[n] children/*[1]/children/*[1]; [t] "choose"; [n] children/*[2]/children/*[1]; ,self::vector,@role="binomial"'.split(","),'Rule{lines-summary{default{[p] (pause:short); [t] count(children/*); [t] "lines";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary")){self::*'.split("{"),
+'Rule;lines-summary;MultiLineOverview_None;[n] . (grammar:layoutSummary);self::multiline;not(contains(@grammar, "layoutSummary"));self::*'.split(";"),["Aliases","lines-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],'Rule{cases-summary{default{[p] (pause:short); [t] count(children/*); [t] "cases";  [n] . (grammar:layoutSummary){self::cases{not(contains(@grammar, "layoutSummary"))'.split("{"),'Rule;cases-summary;MultiLineOverview_None;[n] . (grammar:layoutSummary);self::cases;not(contains(@grammar, "layoutSummary"));self::*'.split(";"),
+["Rule","lines","default",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Line-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',"self::table"],["Aliases","lines","self::multiline"],["Rule","line","default","[n] children/*[1]","self::line"],'Rule;row-medium;default;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"medium");self::row;@role="table"'.split(";"),["Aliases","row-medium","self::row",'@role="cases"'],'Rule;row-long;MultiLinePausesBetweenColumns_Long;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"long");self::row;@role="table"'.split(";"),
+["Aliases","row-long","self::row",'@role="cases"'],'Rule;row-short;MultiLinePausesBetweenColumns_Short;[m] children/* (sepFunc:CTXFpauseSeparator,separator:"short");self::row;@role="table"'.split(";"),["Aliases","row-short","self::row",'@role="cases"'],'Rule;blank-cell;default;[t] "blank";self::cell;count(children/*)=0'.split(";"),'Rule;blank-empty;default;[t] "blank";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),["Rule","cases","default",'[p] (pause:short);  [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Case-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::cases"],'Rule{lines-cases-summary{MultiLineLabel_Case{[p] (pause:short); [t] count(children/*); [t] "cases";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-cases-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-cases","MultiLineLabel_Case",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Case-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',"self::table"],
+["Aliases","lines-cases","self::multiline"],'Rule{lines-equations-summary{MultiLineLabel_Equation{[p] (pause:short); [t] count(children/*); [t] "equations";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-equations-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-equations","MultiLineLabel_Equation",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Equation-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-equations","self::multiline"],'Rule{lines-steps-summary{MultiLineLabel_Step{[p] (pause:short); [t] count(children/*); [t] "steps";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-steps-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-steps","MultiLineLabel_Step",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Step-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-steps","self::multiline"],'Rule{lines-rows-summary{MultiLineLabel_Row{[p] (pause:short); [t] count(children/*); [t] "rows";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-rows-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-rows","MultiLineLabel_Row",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Row-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-rows","self::multiline"],'Rule{lines-constraints-summary{MultiLineLabel_Constraint{[p] (pause:short); [t] count(children/*); [t] "constraints";  [n] . (grammar:layoutSummary){self::multiline{not(contains(@grammar, "layoutSummary"))'.split("{"),["Aliases","lines-constraints-summary","self::table",'not(contains(@grammar, "layoutSummary"))'],["Rule","lines-constraints","MultiLineLabel_Constraint",'[p] (pause:short); [m] children/* (ctxtFunc:CTXFnodeCounter,context:"Constraint-:",sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long)',
+"self::table"],["Aliases","lines-constraints","self::multiline"],'Rule{lines-none{MultiLineLabel_None{[p] (pause:short); [m] children/* (sepFunc:CTXFpauseSeparator,separator:"long"); [p] (pause:long){self::table{contains(@grammar, "layoutSummary")'.split("{"),["Aliases","lines-none","self::multiline",'contains(@grammar, "layoutSummary")'],["Aliases","lines-none","self::cases",'contains(@grammar, "layoutSummary")'],["Rule","bigop","default",'[t] "the"; [n] children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:short)',
+"self::bigop"],["Rule","limboth","default",'[n] children/*[1]; [t] "from"; [n] children/*[2];[t] "to"; [n] children/*[3];',"self::limboth"],["Rule","limlower","default",'[n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short)',"self::limlower"],["Rule","limupper","default",'[n] children/*[1]; [t] "under"; [n] children/*[2]; [p] (pause:short)',"self::limupper"],["Rule","integral","default",'[t] "the"; [n] children/*[1]; [t] "of"; [n] children/*[2]; [p] (pause:short)',"self::integral"],
+["Rule","overscript","default",'[n] children/*[1]; [t] "under"; [n] children/*[2]; [p] (pause:short)',"self::overscore"],'Rule,overscript,default,[n] children/*[1]; [n] children/*[2];,self::overscore,children/*[2][@role="overaccent"]'.split(","),'Rule,overscript-limits,default,[n] children/*[1]; [t] "to"; [n] children/*[2],self::overscore,children/*[2][@role!="overaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role!="underaccent"]'.split(","),["Rule","underscript","default",
+'[n] children/*[1]; [t] "over"; [n] children/*[2]; [p] (pause:short)',"self::underscore"],'Rule,underscript-limits,default,[n] children/*[1]; [t] "from"; [n] children/*[2],self::underscore,@role="underover",children/*[2][@role!="underaccent"]'.split(","),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "and"; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),'Rule{number-with-chars{default{[t] "number"; [m] CQFspaceoutNumber (grammar:protected){self::number{@role="othernumber"{"" != translate(text(), "0123456789.,", ""){not(contains(@grammar, "protected"))'.split("{"),
+'Rule,decimal-period,default,[t] "the repeating decimal"; [n] children/*[1] (grammar:spaceout); [t] "point followed by repeating digits";  [n] children/*[3]/children/*[1] (grammar:spaceout),self::punctuated,@role="sequence",count(./content/*)=1,./content/*[1][@role="fullstop"],name(children/*[1])="number",children/*[1][@role="integer"],name(children/*[3])="overscore",children/*[3][@role="integer"],children/*[3]/children/*[2][@role="overaccent"],children/*[3]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,decimal-period,default,[t] "the repeating decimal"; [n] children/*[1] (grammar:spaceout); [t] "followed by repeating digits";  [n] children/*[2]/children/*[1] (grammar:spaceout);,self::infixop,@role="implicit",count(./children/*)=2,name(children/*[1])="number",children/*[1][@role="float"],name(children/*[2])="overscore",children/*[2][@role="integer"],children/*[2]/children/*[2][@role="overaccent"],children/*[2]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,decimal-period-singular,default,[t] "the repeating decimal"; [n] children/*[1] (grammar:spaceout); [t] "point followed by repeating digit";  [n] children/*[3]/children/*[1] (grammar:spaceout),self::punctuated,@role="sequence",count(./content/*)=1,./content/*[1][@role="fullstop"],name(children/*[1])="number",children/*[1][@role="integer"],name(children/*[3])="overscore",children/*[3][@role="integer"],children/*[3]/children/*[2][@role="overaccent"],children/*[3]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],string-length(./children/*[3]/children/*[1]/text())=1'.split(","),
+'Rule,decimal-period-singular,default,[t] "the repeating decimal"; [n] children/*[1] (grammar:spaceout); [t] "followed by repeating digit";  [n] children/*[2]/children/*[1] (grammar:spaceout);,self::infixop,@role="implicit",count(./children/*)=2,name(children/*[1])="number",children/*[1][@role="float"],name(children/*[2])="overscore",children/*[2][@role="integer"],children/*[2]/children/*[2][@role="overaccent"],children/*[2]/children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],string-length(./children/*[2]/children/*[1]/text())=1'.split(","),
+'Rule;number-with-spaces;default;[m] CQFspaceoutNumber (grammar:!spaceout:number);self::number;contains(@grammar, "spaceout")'.split(";"),'Rule;decimal-point;default;[t] "point";self::punctuation;@role="fullstop";contains(@grammar,"number")'.split(";"),'Rule,line-segment,default,[t] "the line segment"; [n] children/*[1]/children/*[1]; [n] children/*[1]/children/*[2]; [p] (pause:short),self::overscore,@role="implicit",children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"],name(children/*[1])="infixop",count(./children/*[1]/children/*)=2'.split(","),
+'Rule,conjugate,Bar_Conjugate,[t] "the complex conjugate of"; [n] children/*[1],self::overscore,children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),'Rule;defined-by;default;[t] "is defined to be" (pause:short);self::overscore;@role="equality";@embellished="relation";name(children/*[2])="text";children/*[2][text()]="def"'.split(";"),'Rule,adorned-sign,default,[n] children/*[1] ; [t] "sign with"; [n] children/*[2]; [t] "over it",self::overscore,@embellished,name(children/*[1])="operator" or name(children/*[1])="relation"'.split(","),
+'Rule;factorial;default;[t] "factorial";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),["Rule","tensor-base","default","[n] children/*[2]; [n] children/*[3]; [n] children/*[1]; [n] children/*[4]; [n] children/*[5]","self::tensor"],'Rule{left-super{default{[t] "left super"; [n] text(){self::*[@role="leftsuper"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{left-super{default{[t] "left super"; [m] children/*{self::punctuated{@role="leftsuper"{not(contains(@grammar,"combinatorics"))'.split("{"),
+'Rule{left-sub{default{[t] "left sub"; [n] text(){self::*[@role="leftsub"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{left-sub{default{[t] "left sub"; [m] children/*{self::punctuated{@role="leftsub"{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-super{default{[t] "right super"; [n] text(){self::*[@role="rightsuper"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-super{default{[t] "right super"; [m] children/*{self::punctuated{@role="rightsuper"{not(contains(@grammar,"combinatorics"))'.split("{"),
+'Rule{right-sub{default{[t] "right sub"; [n] text(){self::*[@role="rightsub"]{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule{right-sub{default{[t] "right sub"; [m] children/*{self::punctuated{@role="rightsub"{not(contains(@grammar,"combinatorics"))'.split("{"),'Rule;empty-index;default;[p] (pause:medium);self::empty;@role="rightsub" or @role="rightsuper" or @role="leftsub" or @role="leftsuper"'.split(";"),'Rule,combinatorics,default,[n] children/*[2] (grammar:combinatorics); [n] children/*[1]; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="P" or text()="C"]'.split(","),
+'Rule,choose,CombinationPermutation_ChoosePermute,[n] children/*[2] (grammar:combinatorics); [t] "choose"; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="C"]'.split(","),'Rule,permute,CombinationPermutation_ChoosePermute,[n] children/*[2] (grammar:combinatorics); [t] "permute"; [n] children/*[4] (grammar:combinatorics),self::tensor,name(children/*[3])="empty",name(children/*[5])="empty",children/*[1][text()="P"]'.split(","),
+'Rule;unit-singular;default;[t] text() (grammar:annotation="unit":translate);self::identifier;@role="unit"'.split(";"),'Rule;unit-plural;default;[t] text() (grammar:annotation="unit":translate:plural);self::identifier;@role="unit";not(contains(@grammar, "singularUnit"))'.split(";"),'Rule,unit-square,default,[t] "square"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=2],name(children/*[1])="identifier"'.split(","),'Rule,unit-cubic,default,[t] "cubic"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=3],name(children/*[1])="identifier"'.split(","),
+'Rule,unit-reciprocal,default,[t] "reciprocal"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]'.split(","),'Rule,unit-reciprocal,default,[t] "per"; [n] children/*[1] (grammar:singularUnit),self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],preceding-sibling::*[@role="unit"]'.split(","),
+'Rule;unit-combine;default;[m] children/*;self::infixop;@role="unit"'.split(";"),'Rule,unit-combine-singular,default,[n] children/*[1]; [n] children/*[2] (grammar:singularUnit); [m] children/*[position()>2],self::infixop,@role="unit",name(children/*[1])="number",children/*[1][text()=1]'.split(","),'Rule,unit-divide,default,[n] children/*[1]; [t] "per"; [n] children/*[2] (grammar:singularUnit),self::fraction,@role="unit"'.split(","),'Rule{currency{default{[m] children/*[position()>1]; [n] children/*[1];{self::infixop{contains(@annotation, "clearspeak:unit"){children/*[1][@role="unit"]{CQFfirstCurrency'.split("{"),
+'Rule;currency;Currency_Position;[m] children/*;self::infixop;contains(@annotation, "clearspeak:unit")'.split(";"),["SpecializedRule","currency","Currency_Position","Currency_Prefix"],'Rule{currency{Currency_Prefix{[n] children/*[last()]; [m] children/*[position()<last()]; {self::infixop{contains(@annotation, "clearspeak:unit"){children/*[last()][@role="unit"]{CQFlastCurrency'.split("{")],initialize:[sre.ClearspeakUtil.addAnnotators]};sre.Grammar.getInstance().setPreprocessor("numbers2alpha",sre.ClearspeakUtil.numbersToAlpha);sre.EmacspeakRules={domain:"emacspeak",functions:[["CTXF","CTXFnodeCounter",sre.StoreUtil.nodeCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CQF","CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction],["CSF","CSFvulgarFraction",sre.NumbersUtil.vulgarFraction]],rules:[["Rule","stree","default","[n] ./*[1]","self::stree"],["Rule","multrel","default",'[t] "multirelation"; [m] children/* (sepFunc:CTXFcontentIterator)',"self::multirel"],'Rule{variable-equality{default{[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator){self::relseq[@role="equality"]{count(./children/*)>2{./children/punctuation[@role="ellipsis"]'.split("{"),
+'Rule{multi-equality{default{[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator){self::relseq[@role="equality"]{count(./children/*)>2'.split("{"),'Rule,equality,default,[t] "equation"; [t] "left hand side"; [n] children/*[1];[p] (pause:200); [n] content/*[1] (pause:200);[t] "right hand side"; [n] children/*[2],self::relseq[@role="equality"],count(./children/*)=2'.split(","),'Rule,simple-equality,default,[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2],self::relseq[@role="equality"],count(./children/*)=2,./children/identifier or ./children/number'.split(","),
+'Rule,simple-equality2,default,[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2],self::relseq[@role="equality"],count(./children/*)=2,./children/function or ./children/appl'.split(","),["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],'Rule;implicit;default;[m] children/*;self::infixop;@role="implicit";children/*[1][@role="latinletter"] or children/*[1][@role="greekletter"] or children/*[1][@role="otherletter"] or name(children/*[1])="number";children/*[2][@role="latinletter"] or children/*[2][@role="greekletter"] or children/*[2][@role="otherletter"] or name(children/*[2])="number"'.split(";"),
+["Rule","binary-operation","default","[p] (pause:100); [m] children/* (sepFunc:CTXFcontentIterator); [p] (pause:100);","self::infixop"],'Rule,variable-addition,default,[t] "sum with variable number of summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator),self::infixop[@role="addition"],count(children/*)>2,children/punctuation[@role="ellipsis"]'.split(","),["Rule","prefix","default",'[t] "prefix"; [n] text(); [t] "of" (pause 150);[n] children/*[1]',"self::prefixop"],'Rule,negative,default,[t] "negative"; [n] children/*[1],self::prefixop,self::prefixop[@role="negative"]'.split(","),
+["Rule","postfix","default",'[n] children/*[1]; [t] "postfix"; [n] text() (pause 300)',"self::postfixop"],["Rule","identifier","default","[n] text()","self::identifier"],["Rule","number","default","[n] text()","self::number"],'Rule{font{default{[t] @font; [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier-short{default{[t] @font; [n] CQFhideFont; [t] CSFshowFont{self::identifier{string-length(text())=1{@font{@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[t] @font; [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),'Rule,simple-fraction,default,[p] (pause:100); [n] children/*[1] (rate:0.35); [t] "over";  [n] children/*[2] (rate:0.35); [p] (pause:100),self::fraction,name(children/*[1])="number" or name(children/*[1])="identifier",name(children/*[2])="number" or name(children/*[2])="identifier"'.split(","),
+'Rule;vulgar-fraction;default;[t] CSFvulgarFraction;self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["Rule","fraction","default",'[p] (pause:250); [n] children/*[1] (rate:0.35); [p] (pause:250); [t] "divided by"; [p] (pause:250);  [n] children/*[2] (rate:0.35); [p] (pause:250)',"self::fraction"],["Rule","superscript","default",'[n] children/*[1]; [t] "super"; [n] children/*[2] (pitch:0.35);[p] (pause:300)',"self::superscript"],["Rule","subscript","default",'[n] children/*[1]; [t] "sub"; [n] children/*[2] (pitch:-0.35);[p] (pause:300)',
+"self::subscript"],'Rule,ellipsis,default,[p] (pause:200); [t] "ellipsis"; [p] (pause:300),self::punctuation,self::punctuation[@role="ellipsis"]'.split(","),'Rule;fence-single;default;[n] text();self::punctuation;self::punctuation[@role="openfence"]'.split(";"),["Alias","fence-single","self::punctuation",'self::punctuation[@role="closefence"]'],["Alias","fence-single","self::punctuation",'self::punctuation[@role="vbar"]'],["Alias","fence-single","self::punctuation",'self::punctuation[@role="application"]'],
+["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule,fences-open-close,default,[p] (pause:200); [n] children/*[1] (rate:0.35); [p] (pause:200),self::fenced,@role="leftright"'.split(","),'Rule,fences-open-close-in-appl,default,[p] (pause:200); [n] children/*[1]; [p] (pause:200);,self::fenced[@role="leftright"],./parent::children/parent::appl'.split(","),'Rule,fences-neutral,default,[p] (pause:100); [t] "absolute value of"; [n] children/*[1];[p] (pause:350);,self::fenced,self::fenced[@role="neutral"]'.split(","),
+["Rule","omit-fences","default","[p] (pause:500); [n] children/*[1]; [p] (pause:200);","self::fenced"],["Rule","matrix","default",'[t] "matrix"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::matrix"],["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)','self::row[@role="matrix"]'],["Rule","matrix-cell","default","[n] children/*[1]",'self::cell[@role="matrix"]'],["Rule","vector","default",'[t] "vector"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"element",pause:100)',
+"self::vector"],["Rule","cases","default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100)',"self::cases"],["Rule","cases-row","default","[m] children/*",'self::row[@role="cases"]'],["Rule","cases-cell","default","[n] children/*[1]",'self::cell[@role="cases"]'],["Rule","row","default",'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',"self::row"],'Rule{cases-end{default{[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100);[t] "end cases"{self::cases{following-sibling::*'.split("{"),
+["Rule","multiline","default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"line",pause:100)',"self::multiline"],["Rule","line","default","[m] children/*","self::line"],["Rule","table","default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table"],["Rule","table-row","default","[m] children/* (pause:100)",'self::row[@role="table"]'],["Alias","cases-cell",'self::cell[@role="table"]'],'Rule,end-punct,default,[m] children/*; [p] (pause:300),self::punctuated,@role="endpunct"'.split(","),
+'Rule,start-punct,default,[n] content/*[1]; [p] (pause:200); [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule,integral-punct,default,[n] children/*[1] (rate:0.2); [n] children/*[3] (rate:0.2),self::punctuated,@role="integral"'.split(","),["Rule","punctuated","default","[m] children/* (pause:100)","self::punctuated"],["Rule","function","default","[n] text()","self::function"],["Rule","appl","default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::appl"],
+'Rule,sum-only,default,[n] children/*[1]; [t] "from"; [n] children/*[2]; [t] "to";[n] children/*[3],self::limboth,@role="sum" or @role="integral"'.split(","),["Rule","limboth","default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[t] "under"; [n] children/*[3]; [p] (pause 250);',"self::limboth"],["Rule","limlower","default",'[n] children/*[1]; [t] "over"; [n] children/*[2];',"self::limlower"],["Rule","limupper","default",'[n] children/*[1]; [t] "under"; [n] children/*[2];',
+"self::limupper"],["Rule","largeop","default","[n] text()","self::largeop"],["Rule","bigop","default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[p] (pause 250);',"self::bigop"],["Rule","integral","default","[n] children/*[1]; [p] (pause 100); [n] children/*[2];[p] (pause 200); [n] children/*[3] (rate:0.35);","self::integral"],["Rule","sqrt","default",'[t] "Square root of"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::sqrt"],'Rule,square,default,[n] children/*[1]; [t] "squared" (pitch:0.35); [p] (pause:200),self::superscript,children/*[2][text()=2],name(./children/*[1])!="text"'.split(","),
+'Rule,cube,default,[n] children/*[1]; [t] "cubed" (pitch:0.35); [p] (pause:200),self::superscript,children/*[2][text()=3],name(./children/*[1])!="text"'.split(","),["Rule","root","default",'[t] "root of order"; [n] children/*[1];[t] "over"; [n] children/*[1] (rate:0.35); [p] (pause:400)',"self::root"],"Rule,text-no-mult,default,[n] children/*[1]; [p] (pause:200); [n] children/*[2],self::infixop,children/text".split(","),["Rule","text","default","[n] text(); [p] (pause:200)","self::text"],'Rule;unit;default;[t] text() (annotation:unit, preprocess);self::identifier;@role="unit"'.split(";"),
+'Rule,unit-square,default,[t] "square"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=2],name(children/*[1])="identifier"'.split(","),'Rule,unit-cubic,default,[t] "cubic"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=3],name(children/*[1])="identifier"'.split(","),'Rule,reciprocal,default,[t] "reciprocal"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]'.split(","),
+'Rule,reciprocal,default,[t] "per"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],preceding-sibling::*[@role="unit"]'.split(","),'Rule;unit-combine;default;[m] children/*;self::infixop;@role="unit"'.split(";"),'Rule,unit-divide,default,[n] children/*[1] (pitch:0.3); [t] "per"; [n] children/*[2] (pitch:-0.3),self::fraction,@role="unit"'.split(",")]};sre.MathspeakFrenchUtil={};sre.MathspeakFrenchUtil.smallRoot=function(a){if(!a.childNodes||0===a.childNodes.length||!a.childNodes[0].childNodes)return[];var b=a.childNodes[0].childNodes[0].textContent;if(!/^\d+$/.test(b))return[];b=parseInt(b,10);return 1<b&&3>=b?[a]:[]};sre.MathspeakFrenchUtil.baselineVerbose=function(a){return sre.MathspeakUtil.baselineVerbose(a).replace(/\-$/,"")};sre.MathspeakFrenchUtil.baselineBrief=function(a){return sre.MathspeakUtil.baselineBrief(a).replace(/\-$/,"")};
+sre.MathspeakFrenchUtil.leftSuperscriptVerbose=function(a){return sre.MathspeakUtil.superscriptVerbose(a).replace(/^exposant/,"exposant gauche")};sre.MathspeakFrenchUtil.leftSubscriptVerbose=function(a){return sre.MathspeakUtil.subscriptVerbose(a).replace(/^indice/,"indice gauche")};sre.MathspeakFrenchUtil.leftSuperscriptBrief=function(a){return sre.MathspeakUtil.superscriptBrief(a).replace(/^sup/,"sup gauche")};
+sre.MathspeakFrenchUtil.leftSubscriptBrief=function(a){return sre.MathspeakUtil.subscriptBrief(a).replace(/^sub/,"sub gauche")};sre.MathspeakFrench={locale:"fr",domain:"mathspeak",functions:[["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber],["CQF","CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier],["CSF","CSFspaceoutText",sre.MathspeakUtil.spaceoutText],["CSF","CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose],["CSF","CSFcloseFracVerbose",sre.MathspeakUtil.closingFractionVerbose],["CSF","CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose],["CSF","CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief],
+["CSF","CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief],["CSF","CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief],["CSF","CSFcloseFracSbrief",sre.MathspeakUtil.closingFractionSbrief],["CSF","CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief],["CSF","CSFvulgarFrFraction",sre.NumbersUtil.vulgarFraction],["CQF","CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction],["CSF","CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose],["CSF","CSFcloseRadicalVerbose",
+sre.MathspeakUtil.closingRadicalVerbose],["CSF","CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose],["CSF","CSFopenRadicalBrief",sre.MathspeakUtil.openingRadicalBrief],["CSF","CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief],["CSF","CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief],["CSF","CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief],["CSF","CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief],["CQF","CQFisSmallRoot",sre.MathspeakFrenchUtil.smallRoot],
+["CSF","CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFbaselineVerbose",sre.MathspeakFrenchUtil.baselineVerbose],["CSF","CSFbaselineBrief",sre.MathspeakFrenchUtil.baselineBrief],["CSF","CSFleftsuperscriptVerbose",sre.MathspeakFrenchUtil.leftSuperscriptVerbose],["CSF","CSFleftsubscriptVerbose",
+sre.MathspeakFrenchUtil.leftSubscriptVerbose],["CSF","CSFrightsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFrightsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFleftsuperscriptBrief",sre.MathspeakFrenchUtil.leftSuperscriptBrief],["CSF","CSFleftsubscriptBrief",sre.MathspeakFrenchUtil.leftSubscriptBrief],["CSF","CSFrightsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFrightsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFunderscript",
+sre.MathspeakUtil.nestedUnderscore],["CSF","CSFoverscript",sre.MathspeakUtil.nestedOverscore],["CTXF","CTXFordinalCounter",sre.NumbersUtil.ordinalCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CQF","CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple],["CSF","CSFRemoveParens",sre.MathspeakUtil.removeParens],["CQF","CQFresetNesting",sre.MathspeakUtil.resetNestingDepth],["CQF","CQFisLogarithm",sre.ClearspeakUtil.isLogarithmWithBase]],rules:['Rule;collapsed;default;[n] . (engine:modality=summary,grammar:collapsed);self::*;@alternative;not(contains(@grammar, "collapsed"));self::*;self::*;self::*;self::*;self::*'.split(";"),
+["SpecializedRule","collapsed","default","brief"],["SpecializedRule","collapsed","brief","sbrief"],"Rule;stree;default;[n] ./*[1];self::stree;CQFresetNesting".split(";"),["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::*;@role="protected"'.split(";"),["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule;blank-empty;default;[t] "vide";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),'Rule{font{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),
+'Rule{font-identifier-short{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont);{self::identifier{string-length(text())=1{@font{not(contains(@grammar, "ignoreFont")){@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "et"; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),
+'Rule{number-with-chars{default{[t] "nombre"; [m] CQFspaceoutNumber{self::number{"" != translate(text(), "0123456789.,", ""){text() != translate(text(), "0123456789.,", "")'.split("{"),'Rule{number-as-upper-word{default{[t] "MotMajuscule"; [t] CSFspaceoutText{self::number{string-length(text())>1{text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9"){""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")'.split("{"),
+'Rule{number-baseline{default{[t] "position de base"; [n] . (grammar:baseline){self::number{not(contains(@grammar, "ignoreFont")){preceding-sibling::identifier{not(contains(@grammar, "baseline")){preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline","default","brief",'[t] "base"; [n] . (grammar:baseline)'],["SpecializedRule","number-baseline","brief","sbrief"],'Rule{number-baseline-font{default{[t] "position de base"; [n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"{preceding-sibling::identifier{preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),
+["SpecializedRule","number-baseline-font","default","brief",'[t] "base"; [n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont)'],["SpecializedRule","number-baseline-font","brief","sbrief"],'Rule;identifier;default;[m] CQFspaceoutIdentifier;self::identifier;string-length(text())>1;@role!="unit";@role!="protected";not(@font) or @font="normal" or contains(@grammar, "ignoreFont");text()!=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")'.split(";"),
+["Rule","identifier","default","[n] text()","self::identifier"],'Rule,negative,default,[t] "n\u00e9gatif"; [n] children/*[1],self::prefixop,@role="negative",children/identifier'.split(","),["Aliases","negative","self::prefixop",'@role="negative"',"children/number"],["Aliases","negative","self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]'],'Rule,negative,default,[t] "n\u00e9gatif"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),["Rule","prefix","default","[m] content/*; [n] children/*[1]",
+"self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [m] content/*","self::postfixop"],["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule;implicit;default;[m] children/*;self::infixop;@role="implicit"'.split(";"),["Aliases","implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"'],'Rule,subtraction,default,[m] children/* (separator:"moins");,self::infixop,@role="subtraction"'.split(","),
+["Rule","function-unknown","default","[n] children/*[1]; [n] children/*[2]","self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,children/*[1][@role="prefix function"]'.split(","),'Rule,fences-open-close,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="leftright"'.split(","),'Rule,fences-neutral,default,[t] "d\u00e9but valeur absolue"; [n] children/*[1]; [t] "fin valeur absolue",self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["SpecializedRule","fences-neutral","default","sbrief",'[t] "valeur absolue"; [n] children/*[1]; [t] "fin valeur absolue"'],'Rule,fences-neutral,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="neutral"'.split(","),'Rule,fences-set,default,[t] "d\u00e9but ensemble"; [n] children/*[1]; [t] "fin ensemble",self::fenced,@role="set empty" or @role="set extended" or @role="set singleton" or @role="set collection",not(name(../..)="appl")'.split(","),["SpecializedRule","fences-set",
+"default","sbrief",'[t] "ensemble"; [n] children/*[1]; [t] "fin ensemble"'],["Rule","text","default","[n] text()","self::text"],'Rule;factorial;default;[t] "factorielle";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),'Rule;minus;default;[t] "moins";self::operator;text()="-"'.split(";"),'Rule;single-prime;default;[t] "prime";self::punctuated;@role="prime";count(children/*)=1'.split(";"),'Rule;double-prime;default;[t] "double prime";self::punctuated;@role="prime";count(children/*)=2'.split(";"),
+'Rule;triple-prime;default;[t] "triple prime";self::punctuated;@role="prime";count(children/*)=3'.split(";"),'Rule;quadruple-prime;default;[t] "quadruple prime";self::punctuated;@role="prime";count(children/*)=4'.split(";"),'Rule,counted-prime,default,[t] count(children/*); [t] "prime",self::punctuated,@role="prime"'.split(","),["Rule","fraction","default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction"],["Rule","fraction",
+"brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief","self::fraction"],["Rule","fraction","sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief","self::fraction"],'Rule;vulgar-fraction;default;[t] CSFvulgarFrFraction;self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["SpecializedRule","vulgar-fraction","default","brief"],["SpecializedRule","vulgar-fraction",
+"default","sbrief"],'Rule,continued-fraction-outer,default,[t] "fraction continue"; [n] children/*[1];[t] "sur"; [n] children/*[2],self::fraction,not(ancestor::fraction),children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),["SpecializedRule","continued-fraction-outer","default","brief",'[t] "frac continue"; [n] children/*[1];[t] "sur"; [n] children/*[2]'],["SpecializedRule","continued-fraction-outer","brief","sbrief"],'Rule,continued-fraction-inner,default,[t] "d\u00e9but fraction"; [n] children/*[1];[t] "sur"; [n] children/*[2],self::fraction,ancestor::fraction,children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),
+["SpecializedRule","continued-fraction-inner","default","brief",'[t] "d\u00e9but frac"; [n] children/*[1];[t] "sur"; [n] children/*[2]'],["SpecializedRule","continued-fraction-inner","brief","sbrief",'[t] "frac"; [n] children/*[1];[t] "sur"; [n] children/*[2]'],["Rule","sqrt","default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt"],["Rule","sqrt","brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],["Rule","sqrt","sbrief",
+"[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],"Rule,root-small,default,[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose,self::root,CQFisSmallRoot".split(","),"Rule,root-small,brief,[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief,self::root,CQFisSmallRoot".split(","),"Rule,root-small,sbrief,[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief,self::root,CQFisSmallRoot".split(","),["Rule","root","default",
+"[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root"],["Rule","root","brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root"],["Rule","root","sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root"],'Rule,limboth,default,[n] children/*[1]; [t] "d\u00e9but"; [t] CSFunderscript; [n] children/*[2];[t] "d\u00e9but"; [t] CSFoverscript; [n] children/*[3],self::limboth,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),
+'Rule,limlower,default,[n] children/*[1]; [t] "d\u00e9but"; [t] CSFunderscript; [n] children/*[2];,self::limlower,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Rule,limupper,default,[n] children/*[1]; [t] "d\u00e9but"; [t] CSFoverscript; [n] children/*[2];,self::limupper,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Aliases;limlower;self::underscore;@role="limit function";name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),
+'Aliases;limlower;self::underscore;children/*[2][@role!="underaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),'Aliases;limupper;self::overscore;children/*[2][@role!="overaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),["Rule","limboth-end","default",'[n] children/*[1]; [t] "d\u00e9but"; [t] CSFunderscript; [n] children/*[2];[t] "d\u00e9but"; [t] CSFoverscript; [n] children/*[3]; [t] "fin scripts"',
+"self::limboth"],["Rule","limlower-end","default",'[n] children/*[1]; [t] "d\u00e9but"; [t] CSFunderscript; [n] children/*[2]; [t] "fin scripts"',"self::limlower"],["Rule","limupper-end","default",'[n] children/*[1]; [t] "d\u00e9but"; [t] CSFoverscript; [n] children/*[2]; [t] "fin scripts"',"self::limupper"],["Aliases","limlower-end","self::underscore",'@role="limit function"'],["Aliases","limlower-end","self::underscore"],["Aliases","limupper-end","self::overscore"],["Rule","integral","default",
+"[n] children/*[1]; [n] children/*[2]; [n] children/*[3];","self::integral"],'Rule,integral,default,[n] children/*[1]; [t] "indice inf\u00e9rieur"; [n] children/*[2];[t] "indice sup\u00e9rieur"; [n] children/*[3]; [t] "position de base";,self::limboth,@role="integral"'.split(","),["SpecializedRule","integral","default","brief",'[n] children/*[1]; [t] "inf"; [n] children/*[2];[t] "sup"; [n] children/*[3]; [t] "position de base";'],["SpecializedRule","integral","brief","sbrief"],["Rule","bigop","default",
+"[n] children/*[1]; [n] children/*[2];","self::bigop"],["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],'Rule,equality,default,[n] children/*[1]; [n] content/*[1]; [n] children/*[2],self::relseq,@role="equality",count(./children/*)=2'.split(","),'Rule;multi-equality;default;[m] children/* (sepFunc:CTXFcontentIterator);self::relseq;@role="equality";count(./children/*)>2'.split(";"),["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],
+["Rule","subscript","default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript"],["Rule","subscript","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript"],["SpecializedRule","subscript","brief","sbrief"],'Rule,subscript-base,default,[n] children/*[1]; [t] "base"; [n] children/*[2],self::subscript,CQFisLogarithm,self::*,self::*,self::*'.split(","),["SpecializedRule","subscript-base","default","brief"],["SpecializedRule","subscript-base",
+"default","sbrief"],'Rule,subscript-simple,brief,[n] children/*[1]; [n] children/*[2],self::subscript,name(./children/*[1])="identifier",name(./children/*[2])="number",./children/*[2][@role!="mixed"],./children/*[2][@role!="othernumber"]'.split(","),["SpecializedRule","subscript-simple","brief","sbrief"],'Rule,subscript-baseline,default,[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose,self::subscript,following-sibling::*,not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup",not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","subscript-baseline","default","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBrief"],["SpecializedRule","subscript-baseline","brief","sbrief"],'Aliases;subscript-baseline;self::subscript;not(following-sibling::*);ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction;not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","subscript-baseline",
+"self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint()],["Aliases","subscript-baseline","self::subscript","not(following-sibling::*)","@embellished"],'Rule,subscript-empty-sup,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="superscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),["SpecializedRule","subscript-empty-sup",
+"default","brief"],["SpecializedRule","subscript-empty-sup","brief","sbrief"],["Aliases","subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"'],["Rule","superscript","default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript"],["SpecializedRule","superscript","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]"],["SpecializedRule","superscript","brief","sbrief"],'Rule,superscript-baseline,default,[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose,self::superscript,following-sibling::*,not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","superscript-baseline","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBrief"],["SpecializedRule","superscript-baseline","brief","sbrief"],'Aliases;superscript-baseline;self::superscript;not(following-sibling::*);ancestor::punctuated;ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","superscript-baseline","self::superscript",
+"not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt"],["Aliases","superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint()],'Aliases superscript-baseline self::superscript not(following-sibling::*) @embellished not(children/*[2][@role="prime"])'.split(" "),'Rule,superscript-empty-sub,default,[n] children/*[1]; [n] children/*[2],self::superscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="subscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),
+["SpecializedRule","superscript-empty-sub","default","brief"],["SpecializedRule","superscript-empty-sub","brief","sbrief"],["Aliases","superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"'],'Rule,square,default,[n] children/*[1]; [t] "au carr\u00e9",self::superscript,children/*[2],children/*[2][text()=2],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","square","default","brief"],["SpecializedRule","square","default","sbrief"],'Aliases;square;self::superscript;children/*[2];children/*[2][text()=2];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,cube,default,[n] children/*[1]; [t] "cubique",self::superscript,children/*[2],children/*[2][text()=3],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","cube","default","brief"],["SpecializedRule","cube","default","sbrief"],'Aliases;cube;self::superscript;children/*[2];children/*[2][text()=3];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"]'.split(","),["SpecializedRule","prime","default","brief"],["SpecializedRule","prime","default","sbrief"],'Rule,prime-subscript,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",not(following-sibling::*)'.split(","),
+["SpecializedRule","prime-subscript","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]"],["SpecializedRule","prime-subscript","brief","sbrief"],'Rule,prime-subscript-baseline,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose,self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",following-sibling::*'.split(","),
+["SpecializedRule","prime-subscript-baseline","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBrief"],["SpecializedRule","prime-subscript-baseline","brief","sbrief"],'Aliases prime-subscript-baseline self::superscript children/*[2][@role="prime"] name(children/*[1])="subscript" not(following-sibling::*) @embellished'.split(" "),'Rule,prime-subscript-simple,brief,[n] children/*[1]/children/*[1]; [n] children/*[2];[n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",name(children/*[1]/children/*[1])="identifier",name(children/*[1]/children/*[2])="number",children/*[1]/children/*[2][@role!="mixed"],children/*[1]/children/*[2][@role!="othernumber"]'.split(","),
+["SpecializedRule","prime-subscript-simple","brief","sbrief"],'Rule,overscore,default,[t] "suscrire"; [n] children/*[1]; [t] "avec"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"]'.split(","),'Rule,double-overscore,default,[t] "sus-suscrire"; [n] children/*[1]; [t] "avec"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"],name(children/*[1])="overscore",children/*[1]/children/*[2][@role="overaccent"]'.split(","),'Rule,underscore,default,[t] "souscrire"; [n] children/*[1]; [t] "avec"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"]'.split(","),
+'Rule,double-underscore,default,[t] "sous-souscrire"; [n] children/*[1]; [t] "avec"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role="underaccent"]'.split(","),'Rule,matrix-fence,default,[n] children/*[1];,self::fenced,count(children/*)=1,name(children/*[1])="matrix"'.split(","),["Rule","matrix","default",'[t] "d\u00e9but matrice"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin matrice"',
+"self::matrix"],["Rule","matrix","sbrief",'[t] "matrice"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin matrice"',"self::matrix"],["Aliases","matrix","self::vector"],["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"colonne");[p] (pause: 200)',"self::row"],'Rule{row-with-label{default{[t] "avec \u00e9tiquette"; [n] content/*[1]; [t] "fin \u00e9tiquette"(pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"colonne"){self::row{content'.split("{"),
+'Rule{row-with-label{brief{[t] "\u00e9tiquette"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"colonne"){self::row{content'.split("{"),["SpecializedRule","row-with-label","brief","sbrief"],'Rule{row-with-text-label{sbrief{[t] "\u00e9tiquette"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounter,context:"colonne"){self::row{content{name(content/cell/children/*[1])="text"'.split("{"),'Rule;empty-row;default;[t] "vide";self::row;count(children/*)=0'.split(";"),["Rule",
+"matrix-cell","default","[n] children/*[1]; [p] (pause: 300)","self::cell"],'Rule,empty-cell,default,[t] "vide"; [p] (pause: 300),self::cell,count(children/*)=0'.split(","),'Rule{determinant{default{[t] "d\u00e9but d\u00e9terminant"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [t] ""; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin d\u00e9terminant"{self::matrix{@role="determinant"'.split("{"),["SpecializedRule","determinant","default","sbrief",
+'[t] "d\u00e9terminant"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin d\u00e9terminant"'],'Rule{determinant-simple{default{[t] "d\u00e9but d\u00e9terminant"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e",grammar:simpleDet); [t] "fin d\u00e9terminant"{self::matrix{@role="determinant"{CQFdetIsSimple'.split("{"),
+["SpecializedRule","determinant-simple","default","sbrief",'[t] "d\u00e9terminant"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e",grammar:simpleDet); [t] "fin d\u00e9terminant"'],'Rule{row-simple{default{[m] children/*;{self::row{@role="determinant"{contains(@grammar, "simpleDet")'.split("{"),["Rule","layout","default",'[t] "d\u00e9but tableau"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin tableau"',
+"self::table"],["Rule","layout","sbrief",'[t] "tableau"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin tableau"',"self::table"],'Rule,binomial,default,[t] "d\u00e9but binomiale"; [n] children/*[2]/children/*[1]; [t] "parmi"; [n] children/*[1]/children/*[1];  [t] "fin binomiale",self::vector,@role="binomial"'.split(","),'Rule,binomial,sbrief,[t] "binomiale"; [n] children/*[1]/children/*[1]; [t] "parmi"; [n] children/*[2]/children/*[1];  [t] "fin binomiale",self::vector,@role="binomial"'.split(","),
+["Rule","cases","default",'[t] "d\u00e9but tableau"; [n] content/*[1]; [t] "\u00e9largie";[m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin tableau"',"self::cases"],["Rule","cases","sbrief",'[t] "tableau"; [n] content/*[1]; [t] "\u00e9largie"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"rang\u00e9e "); [t] "fin tableau"',"self::cases"],["Aliases","layout","self::multiline"],["Rule","line","default","[m] children/*","self::line"],'Rule,line-with-label,default,[t] "avec etiquette"; [n] content/*[1]; [t] "fin etiquette" (pause: 200); [m] children/*,self::line,content'.split(","),
+["SpecializedRule","line-with-label","default","brief",'[t] "etiquette"; [n] content/*[1] (pause: 200); [m] children/*'],["SpecializedRule","line-with-label","brief","sbrief"],'Rule,line-with-text-label,sbrief,[t] "etiquette"; [t] CSFRemoveParens; [m] children/*,self::line,content,name(content/cell/children/*[1])="text"'.split(","),'Rule;empty-line;default;[t] "vide";self::line;count(children/*)=0;not(content)'.split(";"),["SpecializedRule","empty-line","default","brief"],["SpecializedRule","empty-line",
+"brief","sbrief"],'Rule,empty-line-with-label,default,[t] "avec etiquette"; [n] content/*[1]; [t] "fin etiquette" (pause: 200); [t] "vide",self::line,count(children/*)=0,content'.split(","),["SpecializedRule","empty-line-with-label","default","brief",'[t] "etiquette"; [n] content/*[1] (pause: 200); [t] "vide"'],["SpecializedRule","empty-line-with-label","brief","sbrief"],["Rule","enclose","default",'[t] "d\u00e9but enfermer en"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "fin enfermer"',
+"self::enclose"],'Rule,overbar,default,[t] "d\u00e9but trait suscrit"; [n] children/*[1]; [t] "fin trait suscrit",self::enclose,@role="top"'.split(","),'Rule,underbar,default,[t] "d\u00e9but trait souscrit"; [n] children/*[1]; [t] "fin trait souscrit",self::enclose,@role="bottom"'.split(","),'Rule,leftbar,default,[t] "barre verticale"; [n] children/*[1],self::enclose,@role="left"'.split(","),'Rule,rightbar,default,[n] children/*[1]; [t] "barre verticale",self::enclose,@role="right"'.split(","),'Rule,crossout,default,[t] "d\u00e9but biff\u00e9"; [n] children/*[1]; [t] "fin biff\u00e9",self::enclose,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),
+'Rule,cancel,default,[t] "d\u00e9but biff\u00e9"; [n] children/*[1]/children/*[1]; [t] "avec"; [n] children/*[2]; [t] "fin biff\u00e9",self::overscore,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),["SpecializedRule","cancel","default","brief"],["SpecializedRule","cancel","default","sbrief"],["Aliases","cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'],'Rule,cancel-reverse,default,[t] "d\u00e9but biff\u00e9"; [n] children/*[2]/children/*[1]; [t] "avec"; [n] children/*[1]; [t] "fin biff\u00e9",self::overscore,name(children/*[2])="enclose",children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'.split(","),
+["SpecializedRule","cancel-reverse","default","brief"],["SpecializedRule","cancel-reverse","default","sbrief"],["Aliases","cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'],'Rule;end-punct;default;[m] children/*;self::punctuated;@role="endpunct"'.split(";"),'Rule,start-punct,default,[n] content/*[1]; [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule,integral-punct,default,[n] children/*[1]; [n] children/*[3],self::punctuated,@role="integral"'.split(","),
+["Rule","punctuated","default","[m] children/*","self::punctuated"],'Rule;unit;default;[t] text() (grammar:annotation="unit":translate);self::identifier;@role="unit"'.split(";"),'Rule,unit-square,default,[n] children/*[1]; [t] "carr\u00e9",self::superscript,@role="unit",children/*[2][text()=2],name(children/*[1])="identifier"'.split(","),'Rule,unit-cubic,default,[n] children/*[1]; [t] "cubique",self::superscript,@role="unit",children/*[2][text()=3],name(children/*[1])="identifier"'.split(","),'Rule,reciprocal,default,[t] "r\u00e9ciproque"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]'.split(","),
+'Rule,reciprocal,default,[t] "par"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],preceding-sibling::*[@role="unit"]'.split(","),'Rule;unit-combine;default;[m] children/*;self::infixop;@role="unit"'.split(";"),'Rule,unit-divide,default,[n] children/*[1]; [t] "par"; [n] children/*[2],self::fraction,@role="unit"'.split(",")],initialize:[sre.MathspeakUtil.generateTensorRules]};sre.MathspeakGerman={locale:"de",domain:"mathspeak",functions:[["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber],["CQF","CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier],["CSF","CSFspaceoutText",sre.MathspeakUtil.spaceoutText],["CSF","CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose],["CSF","CSFcloseFracVerbose",sre.MathspeakUtil.closingFractionVerbose],["CSF","CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose],["CSF","CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief],
+["CSF","CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief],["CSF","CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief],["CSF","CSFcloseFracSbrief",sre.MathspeakUtil.closingFractionSbrief],["CSF","CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief],["CSF","CSFvulgarFraction",sre.NumbersUtil.vulgarFraction],["CQF","CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction],["CSF","CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose],["CSF","CSFcloseRadicalVerbose",
+sre.MathspeakUtil.closingRadicalVerbose],["CSF","CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose],["CSF","CSFopenRadicalBrief",sre.MathspeakUtil.openingRadicalBrief],["CSF","CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief],["CSF","CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief],["CSF","CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief],["CSF","CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief],["CSF","CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],
+["CSF","CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFbaselineVerbose",sre.MathspeakUtil.baselineVerbose],["CSF","CSFbaselineBrief",sre.MathspeakUtil.baselineBrief],["CSF","CSFleftsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFleftsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFrightsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],
+["CSF","CSFrightsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFleftsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFleftsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFrightsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFrightsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFunderscript",sre.MathspeakUtil.nestedUnderscore],["CSF","CSFoverscript",sre.MathspeakUtil.nestedOverscore],["CTXF","CTXFordinalCounter",sre.NumbersUtil.ordinalCounter],
+["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CQF","CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple],["CSF","CSFRemoveParens",sre.MathspeakUtil.removeParens],["CQF","CQFresetNesting",sre.MathspeakUtil.resetNestingDepth]],rules:['Rule{collapsed{default{[n] . (engine:modality=summary,grammar:collapsed); [t] "kollabiert"{self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),["SpecializedRule","collapsed","default","brief"],
+["SpecializedRule","collapsed","brief","sbrief"],"Rule;stree;default;[n] ./*[1];self::stree;CQFresetNesting".split(";"),["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::number;contains(@grammar, "protected")'.split(";"),["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule;blank-empty;default;[t] "leer";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),'Rule{font{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::*{name(self::*)!="number"{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),
+'Rule{font-number{default{[t] @font (grammar:localFontNumber); [n] . (grammar:ignoreFont=@font){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier-short{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{not(contains(@grammar, "ignoreFont")){@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1 or string-length(text())=2{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1 or string-length(text())=2;@font;not(contains(@grammar, "ignoreFont"));@font="italic";self::*'.split(";"),'Rule{font-double-struck{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFont){self::*{name(self::*)!="number"{string-length(text())=1 or string-length(text())=2{@font{not(contains(@grammar, "ignoreFont")){@font="double-struck"'.split("{"),
+'Rule{font-number-double-struck{default{[n] . (grammar:ignoreFont=@font); [t] @font (grammar:localFontNumber){self::number{string-length(text())=1 or string-length(text())=2{@font{not(contains(@grammar, "ignoreFont")){@font="double-struck"'.split("{"),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),'Rule{number-with-chars{default{[t] "Zahl"; [m] CQFspaceoutNumber (grammar:protected){self::number{@role="othernumber"{"" != translate(text(), "0123456789.,", ""){not(contains(@grammar, "protected"))'.split("{"),
+'Rule{number-as-upper-word{default{[t] "Wort gro\u00df"; [t] CSFspaceoutText{self::number{string-length(text())>1{text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9"){""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")'.split("{"),
+["SpecializedRule","number-as-upper-word","default","brief"],["SpecializedRule","number-as-upper-word","default","sbrief"],'Rule{number-baseline{default{[t] "Grundlinie"; [n] . (grammar:baseline){self::number{not(contains(@grammar, "ignoreFont")){preceding-sibling::identifier{not(contains(@grammar, "baseline")){preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline","default",
+"brief",'[t] "Grund"; [n] . (grammar:baseline)'],["SpecializedRule","number-baseline","brief","sbrief"],'Rule{number-baseline-font{default{[t] "Grundlinie"; [t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"{preceding-sibling::identifier{preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline-font",
+"default","brief",'[t] "Grund"; [t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)'],["SpecializedRule","number-baseline-font","brief","sbrief"],'Rule;identifier;default;[m] CQFspaceoutIdentifier;self::identifier;string-length(text())>1;@role!="unit";not(@font) or @font="normal" or contains(@grammar, "ignoreFont");text()!=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")'.split(";"),
+["Rule","identifier","default","[n] text()","self::identifier"],'Rule,negative,default,[t] "minus"; [n] children/*[1],self::prefixop,@role="negative",children/identifier'.split(","),["Aliases","negative","self::prefixop",'@role="negative"',"children/number"],["Aliases","negative","self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]'],'Rule,negative,default,[t] "minus"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),["Rule","prefix","default","[m] content/*; [n] children/*[1]",
+"self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [m] content/*","self::postfixop"],["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule;implicit;default;[m] children/*;self::infixop;@role="implicit"'.split(";"),["Aliases","implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"'],'Rule,subtraction,default,[m] children/* (separator:"minus");,self::infixop,@role="subtraction"'.split(","),
+["Rule","function-unknown","default","[n] children/*[1]; [n] children/*[2]","self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,children/*[1][@role="prefix function"]'.split(","),'Rule,fences-open-close,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="leftright"'.split(","),'Rule,fences-neutral,default,[t] "Anfang Betrag"; [n] children/*[1]; [t] "Ende Betrag",self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["SpecializedRule","fences-neutral","default","sbrief",'[t] "Betrag"; [n] children/*[1]; [t] "Ende Betrag"'],'Rule,fences-neutral,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="neutral"'.split(","),'Rule,fences-set,default,[t] "Anfang Menge"; [n] children/*[1]; [t] "Ende Menge",self::fenced,@role="set empty" or @role="set extended" or @role="set singleton" or @role="set collection",not(name(../..)="appl")'.split(","),["SpecializedRule","fences-set","default","sbrief",
+'[t] "Menge"; [n] children/*[1]; [t] "Ende Menge"'],["Rule","text","default","[n] text()","self::text"],'Rule;factorial;default;[t] "Fakult\u00e4t";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),'Rule;minus;default;[t] "minus";self::operator;text()="-"'.split(";"),'Rule;single-prime;default;[t] "Strich";self::punctuated;@role="prime";count(children/*)=1'.split(";"),'Rule;double-prime;default;[t] "zwei Strich";self::punctuated;@role="prime";count(children/*)=2'.split(";"),
+'Rule;triple-prime;default;[t] "drei Strich";self::punctuated;@role="prime";count(children/*)=3'.split(";"),'Rule;quadruple-prime;default;[t] "vier Strich";self::punctuated;@role="prime";count(children/*)=4'.split(";"),'Rule,counted-prime,default,[t] count(children/*); [t] "Strich",self::punctuated,@role="prime"'.split(","),["Rule","fraction","default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction"],["Rule","fraction",
+"brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief","self::fraction"],["Rule","fraction","sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief","self::fraction"],'Rule;vulgar-fraction;default;[t] CSFvulgarFraction (grammar:correctOne);self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["SpecializedRule","vulgar-fraction","default","brief"],["SpecializedRule",
+"vulgar-fraction","default","sbrief"],'Rule,continued-fraction-outer,default,[t] "Kettenbruch"; [n] children/*[1];[t] "durch"; [n] children/*[2],self::fraction,not(ancestor::fraction),children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),'Rule,continued-fraction-inner,default,[t] "Anfang Bruch"; [n] children/*[1];[t] "durch"; [n] children/*[2],self::fraction,ancestor::fraction,children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),
+["SpecializedRule","continued-fraction-inner","default","sbrief",'[t] "Bruch"; [n] children/*[1];[t] "durch"; [n] children/*[2]'],["Rule","sqrt","default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt"],["Rule","sqrt","brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],["Rule","sqrt","sbrief","[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],"Rule,root-small,default,[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose,self::root,children/*[1][text()=3 or text()=2]".split(","),
+"Rule,root-small,brief,[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief,self::root,children/*[1][text()=3 or text()=2]".split(","),"Rule,root-small,sbrief,[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief,self::root,children/*[1][text()=3 or text()=2]".split(","),["Rule","root","default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root"],["Rule","root","brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief",
+"self::root"],["Rule","root","sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root"],'Rule,limboth,default,[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3],self::limboth,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Rule,limlower,default,[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];,self::limlower,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),
+'Rule,limupper,default,[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];,self::limupper,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Aliases;limlower;self::underscore;@role="limit function";name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),'Aliases;limlower;self::underscore;children/*[2][@role!="underaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),
+'Aliases;limupper;self::overscore;children/*[2][@role!="overaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),["Rule","limboth-end","default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "Ende \u00dcberschrift"',"self::limboth"],["Rule","limlower-end","default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "Ende Unterschrift"',"self::limlower"],
+["Rule","limupper-end","default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "Ende \u00dcberschrift"',"self::limupper"],["Aliases","limlower-end","self::underscore",'@role="limit function"'],["Aliases","limlower-end","self::underscore"],["Aliases","limupper-end","self::overscore"],["Rule","integral","default","[n] children/*[1]; [n] children/*[2]; [n] children/*[3];","self::integral"],'Rule,integral,default,[n] children/*[1]; [t] "Index"; [n] children/*[2];[t] "Hoch"; [n] children/*[3]; [t] "Grundlinie";,self::limboth,@role="integral"'.split(","),
+["SpecializedRule","integral","default","brief",'[n] children/*[1]; [t] "Index"; [n] children/*[2];[t] "Hoch"; [n] children/*[3]; [t] "Base";'],["SpecializedRule","integral","brief","sbrief"],["Rule","bigop","default","[n] children/*[1]; [n] children/*[2];","self::bigop"],["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],'Rule,equality,default,[n] children/*[1]; [n] content/*[1]; [n] children/*[2],self::relseq,@role="equality",count(./children/*)=2'.split(","),
+'Rule;multi-equality;default;[m] children/* (sepFunc:CTXFcontentIterator);self::relseq;@role="equality";count(./children/*)>2'.split(";"),["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],["Rule","subscript","default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript"],["Rule","subscript","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript"],["SpecializedRule","subscript","brief","sbrief"],
+'Rule,subscript-simple,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(./children/*[1])="identifier",name(./children/*[2])="number",./children/*[2][@role!="mixed"],./children/*[2][@role!="othernumber"]'.split(","),["SpecializedRule","subscript-simple","default","brief"],["SpecializedRule","subscript-simple","default","sbrief"],'Rule,subscript-baseline,default,[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose,self::subscript,following-sibling::*,not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup",not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","subscript-baseline","default","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBrief"],["SpecializedRule","subscript-baseline","brief","sbrief"],'Aliases;subscript-baseline;self::subscript;not(following-sibling::*);ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction;not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","subscript-baseline",
+"self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint()],["Aliases","subscript-baseline","self::subscript","not(following-sibling::*)","@embellished"],'Rule,subscript-empty-sup,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="superscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),["SpecializedRule","subscript-empty-sup",
+"default","brief"],["SpecializedRule","subscript-empty-sup","brief","sbrief"],["Aliases","subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"'],["Rule","superscript","default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript"],["SpecializedRule","superscript","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]"],["SpecializedRule","superscript","brief","sbrief"],'Rule,superscript-baseline,default,[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose,self::superscript,following-sibling::*,not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","superscript-baseline","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBrief"],["SpecializedRule","superscript-baseline","brief","sbrief"],'Aliases;superscript-baseline;self::superscript;not(following-sibling::*);ancestor::punctuated;ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","superscript-baseline","self::superscript",
+"not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt"],["Aliases","superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint()],'Aliases superscript-baseline self::superscript not(following-sibling::*) @embellished not(children/*[2][@role="prime"])'.split(" "),'Rule,superscript-empty-sub,default,[n] children/*[1]; [n] children/*[2],self::superscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="subscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),
+["SpecializedRule","superscript-empty-sub","default","brief"],["SpecializedRule","superscript-empty-sub","brief","sbrief"],["Aliases","superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"'],'Rule,square,default,[n] children/*[1]; [t] "Quadrat",self::superscript,children/*[2],children/*[2][text()=2],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","square","default","brief"],["SpecializedRule","square","default","sbrief"],'Aliases;square;self::superscript;children/*[2];children/*[2][text()=2];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,cube,default,[n] children/*[1]; [t] "Kubik",self::superscript,children/*[2],children/*[2][text()=3],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","cube","default","brief"],["SpecializedRule","cube","default","sbrief"],'Aliases;cube;self::superscript;children/*[2];children/*[2][text()=3];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"]'.split(","),["SpecializedRule","prime","default","brief"],["SpecializedRule","prime","default","sbrief"],'Rule,prime-subscript,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",not(following-sibling::*)'.split(","),
+["SpecializedRule","prime-subscript","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]"],["SpecializedRule","prime-subscript","brief","sbrief"],'Rule,prime-subscript-baseline,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose,self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",following-sibling::*'.split(","),
+["SpecializedRule","prime-subscript-baseline","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBrief"],["SpecializedRule","prime-subscript-baseline","brief","sbrief"],'Aliases prime-subscript-baseline self::superscript children/*[2][@role="prime"] name(children/*[1])="subscript" not(following-sibling::*) @embellished'.split(" "),'Rule,prime-subscript-simple,default,[n] children/*[1]/children/*[1]; [n] children/*[2];[n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",name(children/*[1]/children/*[1])="identifier",name(children/*[1]/children/*[2])="number",children/*[1]/children/*[2][@role!="mixed"],children/*[1]/children/*[2][@role!="othernumber"]'.split(","),
+["SpecializedRule","prime-subscript-simple","default","brief"],["SpecializedRule","prime-subscript-simple","default","sbrief"],'Rule,overscore,default,[t] "modifiziert oben"; [n] children/*[1]; [t] "mit"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"]'.split(","),["SpecializedRule","overscore","default","brief",'[t] "mod oben"; [n] children/*[1]; [t] "mit"; [n] children/*[2]'],["SpecializedRule","overscore","brief","sbrief"],'Rule,double-overscore,default,[t] "modifiziert oben oben"; [n] children/*[1]; [t] "mit"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"],name(children/*[1])="overscore",children/*[1]/children/*[2][@role="overaccent"]'.split(","),
+["SpecializedRule","double-overscore","default","brief",'[t] "mod oben oben"; [n] children/*[1]; [t] "mit"; [n] children/*[2]'],["SpecializedRule","double-overscore","brief","sbrief"],'Rule,underscore,default,[t] "modifiziert unten"; [n] children/*[1]; [t] "mit"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"]'.split(","),["SpecializedRule","underscore","default","brief",'[t] "mod unten"; [n] children/*[1]; [t] "mit"; [n] children/*[2]'],["SpecializedRule","underscore","brief",
+"sbrief"],'Rule,double-underscore,default,[t] "modifiziert unten unten"; [n] children/*[1]; [t] "mit"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role="underaccent"]'.split(","),["SpecializedRule","double-underscore","default","brief",'[t] "mod unten unten"; [n] children/*[1]; [t] "mit"; [n] children/*[2]'],["SpecializedRule","double-underscore","brief","sbrief"],'Rule,overbar,default,[n] children/*[1]; [t] "\u00dcberstrich",self::overscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+'Rule,underbar,default,[n] children/*[1]; [t] "Unterstrich",self::underscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="underaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),'Rule,overtilde,default,[n] children/*[1]; [t] "Tilde oben",self::overscore,children/*[2][@role="overaccent"],@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]'.split(","),
+'Rule,undertilde,default,[n] children/*[1]; [t] "Tilde unten",self::underscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="underaccent"],children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]'.split(","),'Rule,matrix-fence,default,[n] children/*[1];,self::fenced,count(children/*)=1,name(children/*[1])="matrix"'.split(","),["Rule","matrix","default",'[t] "Anfang"; [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Matrize"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Matrize"',
+"self::matrix"],["Rule","matrix","sbrief",'[t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Matrize"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Matrize"',"self::matrix"],["Aliases","matrix","self::vector"],["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Spalte");[p] (pause: 200)',"self::row"],'Rule{row-with-label{default{[t] "mit Bezeichner"; [n] content/*[1]; [t] "Ende Bezeichner"(pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Spalte"){self::row{content'.split("{"),
+'Rule{row-with-label{brief{[t] "Bezeichner"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Spalte"){self::row{content'.split("{"),["SpecializedRule","row-with-label","brief","sbrief"],'Rule{row-with-text-label{sbrief{[t] "Bezeichner"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Spalte"){self::row{content{name(content/cell/children/*[1])="text"'.split("{"),'Rule;empty-row;default;[t] "Blank";self::row;count(children/*)=0'.split(";"),["Rule","matrix-cell",
+"default","[n] children/*[1]; [p] (pause: 300)","self::cell"],'Rule,empty-cell,default,[t] "leer"; [p] (pause: 300),self::cell,count(children/*)=0'.split(","),'Rule{determinant{default{[t] "Anfang"; [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Determinante"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Determinante"{self::matrix{@role="determinant"'.split("{"),["SpecializedRule","determinant","default","sbrief",'[t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Determinante"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Determinante"'],
+'Rule{determinant-simple{default{[t] "Anfang"; [t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Determinante"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile",grammar:simpleDet); [t] "Ende Determinante"{self::matrix{@role="determinant"{CQFdetIsSimple'.split("{"),["SpecializedRule","determinant-simple","default","sbrief",'[t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Determinante"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile",grammar:simpleDet); [t] "Ende Determinante"'],
+'Rule{row-simple{default{[m] children/*;{self::row{@role="determinant"{contains(@grammar, "simpleDet")'.split("{"),["Rule","layout","default",'[t] "Anfang Anordnung"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Anordnung"',"self::table"],["Rule","layout","sbrief",'[t] "Anordnung"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Anordnung"',"self::table"],'Rule,binomial,default,[t] "Anfang Binomialkoeffizient"; [n] children/*[2]/children/*[1]; [t] "aus";  [n] children/*[1]/children/*[1]; [t] "Ende Binomialkoeffizient",self::vector,@role="binomial"'.split(","),
+'Rule,binomial,brief,[t] "Anfang Binomial"; [n] children/*[2]/children/*[1]; [t] "aus";  [n] children/*[1]/children/*[1]; [t] "Ende Binomial",self::vector,@role="binomial"'.split(","),'Rule,binomial,sbrief,[t] "Binomial"; [n] children/*[2]/children/*[1]; [t] "aus";  [n] children/*[1]/children/*[1]; [t] "Ende Binomial",self::vector,@role="binomial"'.split(","),["Rule","cases","default",'[t] "Anfang Fallunterscheidung"; [t] "gro\u00dfe"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende Fallunterscheidung"',
+"self::cases"],["Rule","cases","brief",'[t] "Anfang F\u00e4lle"; [t] "gro\u00dfe"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende F\u00e4lle"',"self::cases"],["Rule","cases","sbrief",'[t] "F\u00e4lle"; [t] "gro\u00dfe"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Zeile "); [t] "Ende F\u00e4lle"',"self::cases"],["Aliases","layout","self::multiline"],["Rule","line","default","[m] children/*","self::line"],'Rule,line-with-label,default,[t] "mit Bezeichner"; [n] content/*[1]; [t] "Ende Bezeichner" (pause: 200); [m] children/*,self::line,content'.split(","),
+["SpecializedRule","line-with-label","default","brief",'[t] "Bezeichner"; [n] content/*[1] (pause: 200); [m] children/*'],["SpecializedRule","line-with-label","brief","sbrief"],'Rule,line-with-text-label,sbrief,[t] "Bezeichner"; [t] CSFRemoveParens; [m] children/*,self::line,content,name(content/cell/children/*[1])="text"'.split(","),'Rule;empty-line;default;[t] "leer";self::line;count(children/*)=0;not(content)'.split(";"),["SpecializedRule","empty-line","default","brief"],["SpecializedRule","empty-line",
+"brief","sbrief"],'Rule,empty-line-with-label,default,[t] "mit Bezeichner"; [n] content/*[1]; [t] "Ende Bezeichner"(pause: 200); [t] "leer",self::line,count(children/*)=0,content'.split(","),["SpecializedRule","empty-line-with-label","default","brief",'[t] "Bezeichner"; [n] content/*[1] (pause: 200); [t] "leer"'],["SpecializedRule","empty-line-with-label","brief","sbrief"],["Rule","enclose","default",'[t] "Anfang Umschlie\u00dfung"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "Ende Umschlie\u00dfung"',
+"self::enclose"],["Aliases","overbar","self::enclose",'@role="top"'],["Aliases","underbar","self::enclose",'@role="bottom"'],'Rule,leftbar,default,[t] "senkrechter Strich"; [n] children/*[1],self::enclose,@role="left"'.split(","),'Rule,rightbar,default,[n] children/*[1]; [t] "senkrechter Strich",self::enclose,@role="right"'.split(","),'Rule,crossout,default,[t] "durchgestrichen"; [n] children/*[1]; [t] "Ende duchgestrichen",self::enclose,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),
+'Rule,cancel,default,[t] "durchgestrichen"; [n] children/*[1]/children/*[1]; [t] "mit"; [n] children/*[2]; [t] "Ende duchgestrichen",self::overscore,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),["SpecializedRule","cancel","default","brief"],["SpecializedRule","cancel","default","sbrief"],["Aliases","cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'],'Rule,cancel-reverse,default,[t] "durchgestrichen"; [n] children/*[2]/children/*[1]; [t] "mit"; [n] children/*[1]; [t] "Ende duchgestrichen",self::overscore,name(children/*[2])="enclose",children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'.split(","),
+["SpecializedRule","cancel-reverse","default","brief"],["SpecializedRule","cancel-reverse","default","sbrief"],["Aliases","cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'],'Rule;end-punct;default;[m] children/*;self::punctuated;@role="endpunct"'.split(";"),'Rule,start-punct,default,[n] content/*[1]; [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule,integral-punct,default,[n] children/*[1]; [n] children/*[3],self::punctuated,@role="integral"'.split(","),
+["Rule","punctuated","default","[m] children/*","self::punctuated"],'Rule;unit;default;[t] text() (grammar:annotation="unit":translate:plural);self::identifier;@role="unit"'.split(";"),'Rule,unit-square,default,[t] "Quadrat"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=2],name(children/*[1])="identifier"'.split(","),'Rule,unit-cubic,default,[t] "Kubik"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=3],name(children/*[1])="identifier"'.split(","),'Rule,reciprocal,default,[n] children/*[1]; [t] "invers",self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]'.split(","),
+'Rule,reciprocal,default,[t] "pro"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],preceding-sibling::*[@role="unit"]'.split(","),'Rule;unit-combine;default;[m] children/*;self::infixop;@role="unit"'.split(";"),'Rule,unit-divide,default,[n] children/*[1]; [t] "pro"; [n] children/*[2],self::fraction,@role="unit"'.split(","),["Rule","inference","default",'[t] "Schlussregel"; [m] content/*; [t] "mit Folgerung"; [n] children/*[1]; [t] "aus"; [t] count(children/*[2]/children/*); [t] "Pr\u00e4missen"',
+"self::inference"],'Rule,inference,default,[t] "Schlussregel"; ; [m] content/*; [t] "mit Folgerung"; [n] children/*[1]; [t] "aus"; [t] count(children/*[2]/children/*); [t] "Pr\u00e4misse",self::inference,count(children/*[2]/children/*)<2'.split(","),["Rule","premise","default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Pr\u00e4misse ");',"self::premises"],["Rule","conclusion","default","[n] children/*[1]","self::conclusion"],["Rule","label","default",'[t] "Regel"; [n] children/*[1]',"self::rulelabel"],
+'Rule,axiom,default,[t] "Axiom"; [m] children/*[1];,self::inference,@role="axiom"'.split(","),'Rule,axiom,default,[t] "leeres Axiom";,self::empty,@role="axiom"'.split(",")],initialize:[sre.MathspeakUtil.generateTensorRules]};sre.MathspeakRules={domain:"mathspeak",functions:[["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber],["CQF","CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier],["CSF","CSFspaceoutText",sre.MathspeakUtil.spaceoutText],["CSF","CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose],["CSF","CSFcloseFracVerbose",sre.MathspeakUtil.closingFractionVerbose],["CSF","CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose],["CSF","CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief],
+["CSF","CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief],["CSF","CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief],["CSF","CSFcloseFracSbrief",sre.MathspeakUtil.closingFractionSbrief],["CSF","CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief],["CSF","CSFvulgarFraction",sre.NumbersUtil.vulgarFraction],["CQF","CQFvulgarFractionSmall",sre.MathspeakUtil.isSmallVulgarFraction],["CSF","CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose],["CSF","CSFcloseRadicalVerbose",
+sre.MathspeakUtil.closingRadicalVerbose],["CSF","CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose],["CSF","CSFopenRadicalBrief",sre.MathspeakUtil.openingRadicalBrief],["CSF","CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief],["CSF","CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief],["CSF","CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief],["CSF","CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief],["CSF","CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],
+["CSF","CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFbaselineVerbose",sre.MathspeakUtil.baselineVerbose],["CSF","CSFbaselineBrief",sre.MathspeakUtil.baselineBrief],["CSF","CSFleftsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFleftsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFrightsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],
+["CSF","CSFrightsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFleftsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFleftsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFrightsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFrightsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFunderscript",sre.MathspeakUtil.nestedUnderscore],["CSF","CSFoverscript",sre.MathspeakUtil.nestedOverscore],["CTXF","CTXFordinalCounter",sre.NumbersUtil.ordinalCounter],
+["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CQF","CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple],["CSF","CSFRemoveParens",sre.MathspeakUtil.removeParens],["CQF","CQFresetNesting",sre.MathspeakUtil.resetNestingDepth]],rules:['Rule{collapsed{default{[t] "collapsed"; [n] . (engine:modality=summary,grammar:collapsed){self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),["SpecializedRule","collapsed","default","brief"],
+["SpecializedRule","collapsed","brief","sbrief"],"Rule;stree;default;[n] ./*[1];self::stree;CQFresetNesting".split(";"),["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::number;contains(@grammar, "protected")'.split(";"),["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule;blank-empty;default;[t] "Blank";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),'Rule{font{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),
+'Rule{font-identifier-short{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{not(contains(@grammar, "ignoreFont")){@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),'Rule{german-font{default{[t] "German"; [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font="fraktur"'.split("{"),
+'Rule{german-font{default{[t] "bold German"; [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font="bold-fraktur"'.split("{"),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "and"; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),'Rule{number-with-chars{default{[t] "Number"; [m] CQFspaceoutNumber (grammar:protected){self::number{@role="othernumber"{"" != translate(text(), "0123456789.,", ""){not(contains(@grammar, "protected"))'.split("{"),
+["SpecializedRule","number-with-chars","default","brief",'[t] "Num"; [m] CQFspaceoutNumber (grammar:protected)'],["SpecializedRule","number-with-chars","brief","sbrief"],'Rule{number-as-upper-word{default{[t] "UpperWord"; [t] CSFspaceoutText{self::number{string-length(text())>1{text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9"){""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")'.split("{"),
+["SpecializedRule","number-as-upper-word","default","brief"],["SpecializedRule","number-as-upper-word","default","sbrief"],'Rule{number-baseline{default{[t] "Baseline"; [n] . (grammar:baseline){self::number{not(contains(@grammar, "ignoreFont")){preceding-sibling::identifier{not(contains(@grammar, "baseline")){preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline","default",
+"brief",'[t] "Base"; [n] . (grammar:baseline)'],["SpecializedRule","number-baseline","brief","sbrief"],'Rule{number-baseline-font{default{[t] "Baseline"; [t] @font; [n] . (grammar:ignoreFont=@font){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"{preceding-sibling::identifier{preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline-font","default","brief",
+'[t] "Base"; [t] @font; [n] . (grammar:ignoreFont=@font)'],["SpecializedRule","number-baseline-font","brief","sbrief"],'Rule;identifier;default;[m] CQFspaceoutIdentifier;self::identifier;string-length(text())>1;@role!="unit";not(@font) or @font="normal" or contains(@grammar, "ignoreFont");text()!=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")'.split(";"),
+["Rule","identifier","default","[n] text()","self::identifier"],'Rule,negative,default,[t] "negative"; [n] children/*[1],self::prefixop,@role="negative",children/identifier'.split(","),["Aliases","negative","self::prefixop",'@role="negative"',"children/number"],["Aliases","negative","self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]'],'Rule,negative,default,[t] "minus"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),["Rule","prefix","default","[m] content/*; [n] children/*[1]",
+"self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [m] content/*","self::postfixop"],["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule;implicit;default;[m] children/*;self::infixop;@role="implicit"'.split(";"),["Aliases","implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"'],'Rule,subtraction,default,[m] children/* (separator:"minus");,self::infixop,@role="subtraction"'.split(","),
+["Rule","function-unknown","default","[n] children/*[1]; [n] children/*[2]","self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,children/*[1][@role="prefix function"]'.split(","),'Rule,fences-open-close,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="leftright"'.split(","),'Rule,fences-neutral,default,[t] "StartAbsoluteValue"; [n] children/*[1]; [t] "EndAbsoluteValue",self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["SpecializedRule","fences-neutral","default","sbrief",'[t] "AbsoluteValue"; [n] children/*[1]; [t] "EndAbsoluteValue"'],'Rule,fences-neutral,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="neutral"'.split(","),'Rule,fences-set,default,[t] "StartSet"; [n] children/*[1]; [t] "EndSet",self::fenced,@role="set empty" or @role="set extended" or @role="set singleton" or @role="set collection",not(name(../..)="appl")'.split(","),["SpecializedRule","fences-set","default",
+"sbrief",'[t] "Set"; [n] children/*[1]; [t] "EndSet"'],["Rule","text","default","[n] text()","self::text"],'Rule;factorial;default;[t] "factorial";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),'Rule;minus;default;[t] "minus";self::operator;text()="-"'.split(";"),'Rule;single-prime;default;[t] "prime";self::punctuated;@role="prime";count(children/*)=1'.split(";"),'Rule;double-prime;default;[t] "double prime";self::punctuated;@role="prime";count(children/*)=2'.split(";"),
+'Rule;triple-prime;default;[t] "triple prime";self::punctuated;@role="prime";count(children/*)=3'.split(";"),'Rule;quadruple-prime;default;[t] "quadruple prime";self::punctuated;@role="prime";count(children/*)=4'.split(";"),'Rule,counted-prime,default,[t] count(children/*); [t] "prime",self::punctuated,@role="prime"'.split(","),["Rule","fraction","default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction"],["Rule","fraction",
+"brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief","self::fraction"],["Rule","fraction","sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief","self::fraction"],'Rule;vulgar-fraction;default;[t] CSFvulgarFraction;self::fraction;@role="vulgar";CQFvulgarFractionSmall'.split(";"),["SpecializedRule","vulgar-fraction","default","brief"],["SpecializedRule","vulgar-fraction","default",
+"sbrief"],'Rule,continued-fraction-outer,default,[t] "ContinuedFraction"; [n] children/*[1];[t] "Over"; [n] children/*[2],self::fraction,not(ancestor::fraction),children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),["SpecializedRule","continued-fraction-outer","default","brief",'[t] "ContinuedFrac"; [n] children/*[1];[t] "Over"; [n] children/*[2]'],["SpecializedRule","continued-fraction-outer","brief","sbrief"],'Rule,continued-fraction-inner,default,[t] "StartFraction"; [n] children/*[1];[t] "Over"; [n] children/*[2],self::fraction,ancestor::fraction,children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),
+["SpecializedRule","continued-fraction-inner","default","brief",'[t] "StartFrac"; [n] children/*[1];[t] "Over"; [n] children/*[2]'],["SpecializedRule","continued-fraction-inner","brief","sbrief",'[t] "Frac"; [n] children/*[1];[t] "Over"; [n] children/*[2]'],["Rule","sqrt","default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt"],["Rule","sqrt","brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],["Rule","sqrt","sbrief",
+"[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],["Rule","root","default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose","self::root"],["Rule","root","brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root"],["Rule","root","sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief",
+"self::root"],'Rule,limboth,default,[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3],self::limboth,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Rule,limlower,default,[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];,self::limlower,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),
+'Rule,limupper,default,[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];,self::limupper,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Aliases;limlower;self::underscore;@role="limit function";name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),'Aliases;limlower;self::underscore;children/*[2][@role!="underaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),
+'Aliases;limupper;self::overscore;children/*[2][@role!="overaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),["Rule","limboth-end","default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "Endscripts"',"self::limboth"],["Rule","limlower-end","default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "Endscripts"',"self::limlower"],["Rule","limupper-end",
+"default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "Endscripts"',"self::limupper"],["Aliases","limlower-end","self::underscore",'@role="limit function"'],["Aliases","limlower-end","self::underscore"],["Aliases","limupper-end","self::overscore"],["Rule","integral","default","[n] children/*[1]; [n] children/*[2]; [n] children/*[3];","self::integral"],'Rule,integral,default,[n] children/*[1]; [t] "Subscript"; [n] children/*[2];[t] "Superscript"; [n] children/*[3]; [t] "Baseline";,self::limboth,@role="integral"'.split(","),
+["SpecializedRule","integral","default","brief",'[n] children/*[1]; [t] "Sub"; [n] children/*[2];[t] "Sup"; [n] children/*[3]; [t] "Base";'],["SpecializedRule","integral","brief","sbrief"],["Rule","bigop","default","[n] children/*[1]; [n] children/*[2];","self::bigop"],["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],'Rule,equality,default,[n] children/*[1]; [n] content/*[1]; [n] children/*[2],self::relseq,@role="equality",count(./children/*)=2'.split(","),
+'Rule;multi-equality;default;[m] children/* (sepFunc:CTXFcontentIterator);self::relseq;@role="equality";count(./children/*)>2'.split(";"),["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],["Rule","subscript","default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript"],["Rule","subscript","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript"],["SpecializedRule","subscript","brief","sbrief"],
+'Rule,subscript-simple,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(./children/*[1])="identifier",name(./children/*[2])="number",./children/*[2][@role!="mixed"],./children/*[2][@role!="othernumber"]'.split(","),["SpecializedRule","subscript-simple","default","brief"],["SpecializedRule","subscript-simple","default","sbrief"],'Rule,subscript-baseline,default,[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose,self::subscript,following-sibling::*,not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup",not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","subscript-baseline","default","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBrief"],["SpecializedRule","subscript-baseline","brief","sbrief"],'Aliases;subscript-baseline;self::subscript;not(following-sibling::*);ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction;not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","subscript-baseline",
+"self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint()],["Aliases","subscript-baseline","self::subscript","not(following-sibling::*)","@embellished"],'Rule,subscript-empty-sup,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="superscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),["SpecializedRule","subscript-empty-sup",
+"default","brief"],["SpecializedRule","subscript-empty-sup","brief","sbrief"],["Aliases","subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"'],["Rule","superscript","default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript"],["SpecializedRule","superscript","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]"],["SpecializedRule","superscript","brief","sbrief"],'Rule,superscript-baseline,default,[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose,self::superscript,following-sibling::*,not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","superscript-baseline","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBrief"],["SpecializedRule","superscript-baseline","brief","sbrief"],'Aliases;superscript-baseline;self::superscript;not(following-sibling::*);ancestor::punctuated;ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","superscript-baseline","self::superscript",
+"not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt"],["Aliases","superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint()],'Aliases superscript-baseline self::superscript not(following-sibling::*) @embellished not(children/*[2][@role="prime"])'.split(" "),'Rule,superscript-empty-sub,default,[n] children/*[1]; [n] children/*[2],self::superscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="subscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),
+["SpecializedRule","superscript-empty-sub","default","brief"],["SpecializedRule","superscript-empty-sub","brief","sbrief"],["Aliases","superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"'],'Rule,square,default,[n] children/*[1]; [t] "squared",self::superscript,children/*[2],children/*[2][text()=2],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","square","default","brief"],["SpecializedRule","square","default","sbrief"],'Aliases;square;self::superscript;children/*[2];children/*[2][text()=2];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,cube,default,[n] children/*[1]; [t] "cubed",self::superscript,children/*[2],children/*[2][text()=3],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","cube","default","brief"],["SpecializedRule","cube","default","sbrief"],'Aliases;cube;self::superscript;children/*[2];children/*[2][text()=3];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"]'.split(","),["SpecializedRule","prime","default","brief"],["SpecializedRule","prime","default","sbrief"],'Rule,prime-subscript,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",not(following-sibling::*)'.split(","),
+["SpecializedRule","prime-subscript","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]"],["SpecializedRule","prime-subscript","brief","sbrief"],'Rule,prime-subscript-baseline,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose,self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",following-sibling::*'.split(","),
+["SpecializedRule","prime-subscript-baseline","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBrief"],["SpecializedRule","prime-subscript-baseline","brief","sbrief"],'Aliases prime-subscript-baseline self::superscript children/*[2][@role="prime"] name(children/*[1])="subscript" not(following-sibling::*) @embellished'.split(" "),'Rule,prime-subscript-simple,default,[n] children/*[1]/children/*[1]; [n] children/*[2];[n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",name(children/*[1]/children/*[1])="identifier",name(children/*[1]/children/*[2])="number",children/*[1]/children/*[2][@role!="mixed"],children/*[1]/children/*[2][@role!="othernumber"]'.split(","),
+["SpecializedRule","prime-subscript-simple","default","brief"],["SpecializedRule","prime-subscript-simple","default","sbrief"],'Rule,overscore,default,[t] "ModifyingAbove"; [n] children/*[1]; [t] "With"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"]'.split(","),["SpecializedRule","overscore","default","brief",'[t] "ModAbove"; [n] children/*[1]; [t] "With"; [n] children/*[2]'],["SpecializedRule","overscore","brief","sbrief"],'Rule,double-overscore,default,[t] "ModifyingAbove Above"; [n] children/*[1]; [t] "With"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"],name(children/*[1])="overscore",children/*[1]/children/*[2][@role="overaccent"]'.split(","),
+["SpecializedRule","double-overscore","default","brief",'[t] "ModAbove Above"; [n] children/*[1]; [t] "With"; [n] children/*[2]'],["SpecializedRule","double-overscore","brief","sbrief"],'Rule,underscore,default,[t] "ModifyingBelow"; [n] children/*[1]; [t] "With"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"]'.split(","),["SpecializedRule","underscore","default","brief",'[t] "ModBelow"; [n] children/*[1]; [t] "With"; [n] children/*[2]'],["SpecializedRule","underscore","brief",
+"sbrief"],'Rule,double-underscore,default,[t] "ModifyingBelow Below"; [n] children/*[1]; [t] "With"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role="underaccent"]'.split(","),["SpecializedRule","double-underscore","default","brief",'[t] "ModBelow Below"; [n] children/*[1]; [t] "With"; [n] children/*[2]'],["SpecializedRule","double-underscore","brief","sbrief"],'Rule,overbar,default,[n] children/*[1]; [t] "overbar",self::overscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),
+["SpecializedRule","overbar","default","brief",'[n] children/*[1]; [t] "overBar"'],["SpecializedRule","overbar","brief","sbrief"],'Rule,underbar,default,[n] children/*[1]; [t] "underbar",self::underscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="underaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),["SpecializedRule","underbar","default","brief",'[n] children/*[1]; [t] "underBar"'],
+["SpecializedRule","underbar","brief","sbrief"],'Rule,overtilde,default,[n] children/*[1]; [t] "overTilde",self::overscore,children/*[2][@role="overaccent"],@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]'.split(","),["SpecializedRule","overtilde","default","brief",'[n] children/*[1]; [t] "overtilde"'],["SpecializedRule","overtilde","brief","sbrief"],'Rule,undertilde,default,[n] children/*[1]; [t] "underTilde",self::underscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="underaccent"],children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]'.split(","),
+["SpecializedRule","undertilde","default","brief",'[n] children/*[1]; [t] "undertilde"'],["SpecializedRule","undertilde","brief","sbrief"],'Rule,matrix-fence,default,[n] children/*[1];,self::fenced,count(children/*)=1,name(children/*[1])="matrix"'.split(","),["Rule","matrix","default",'[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Matrix"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndMatrix"',"self::matrix"],["Rule","matrix","sbrief",
+'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Matrix"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndMatrix"',"self::matrix"],["Aliases","matrix","self::vector"],["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column");[p] (pause: 200)',"self::row"],'Rule{row-with-label{default{[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column"){self::row{content'.split("{"),
+'Rule{row-with-label{brief{[t] "Label"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column"){self::row{content'.split("{"),["SpecializedRule","row-with-label","brief","sbrief"],'Rule{row-with-text-label{sbrief{[t] "Label"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column"){self::row{content{name(content/cell/children/*[1])="text"'.split("{"),'Rule;empty-row;default;[t] "Blank";self::row;count(children/*)=0'.split(";"),["Rule","matrix-cell",
+"default","[n] children/*[1]; [p] (pause: 300)","self::cell"],'Rule,empty-cell,default,[t] "Blank"; [p] (pause: 300),self::cell,count(children/*)=0'.split(","),'Rule{determinant{default{[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndDeterminant"{self::matrix{@role="determinant"'.split("{"),["SpecializedRule","determinant","default","sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndDeterminant"'],
+'Rule{determinant-simple{default{[t] "Start"; [t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row",grammar:simpleDet); [t] "EndDeterminant"{self::matrix{@role="determinant"{CQFdetIsSimple'.split("{"),["SpecializedRule","determinant-simple","default","sbrief",'[t] count(children/*);  [t] "By";[t] count(children/*[1]/children/*); [t] "Determinant"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row",grammar:simpleDet); [t] "EndDeterminant"'],
+'Rule{row-simple{default{[m] children/*;{self::row{@role="determinant"{contains(@grammar, "simpleDet")'.split("{"),["Rule","layout","default",'[t] "StartLayout"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::table"],["Rule","layout","sbrief",'[t] "Layout"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::table"],'Rule,binomial,default,[t] "StartBinomialOrMatrix"; [n] children/*[1]/children/*[1]; [t] "Choose"; [n] children/*[2]/children/*[1];  [t] "EndBinomialOrMatrix",self::vector,@role="binomial"'.split(","),
+'Rule,binomial,sbrief,[t] "BinomialOrMatrix"; [n] children/*[1]/children/*[1]; [t] "Choose"; [n] children/*[2]/children/*[1];  [t] "EndBinomialOrMatrix",self::vector,@role="binomial"'.split(","),["Rule","cases","default",'[t] "StartLayout"; [t] "Enlarged"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',"self::cases"],["Rule","cases","sbrief",'[t] "Layout"; [t] "Enlarged"; [n] content/*[1];[m] children/* (ctxtFunc:CTXFordinalCounter,context:"Row "); [t] "EndLayout"',
+"self::cases"],["Aliases","layout","self::multiline"],["Rule","line","default","[m] children/*","self::line"],'Rule,line-with-label,default,[t] "with Label"; [n] content/*[1]; [t] "EndLabel" (pause: 200); [m] children/*,self::line,content'.split(","),["SpecializedRule","line-with-label","default","brief",'[t] "Label"; [n] content/*[1] (pause: 200); [m] children/*'],["SpecializedRule","line-with-label","brief","sbrief"],'Rule,line-with-text-label,sbrief,[t] "Label"; [t] CSFRemoveParens; [m] children/*,self::line,content,name(content/cell/children/*[1])="text"'.split(","),
+'Rule;empty-line;default;[t] "Blank";self::line;count(children/*)=0;not(content)'.split(";"),["SpecializedRule","empty-line","default","brief"],["SpecializedRule","empty-line","brief","sbrief"],'Rule,empty-line-with-label,default,[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [t] "Blank",self::line,count(children/*)=0,content'.split(","),["SpecializedRule","empty-line-with-label","default","brief",'[t] "Label"; [n] content/*[1] (pause: 200); [t] "Blank"'],["SpecializedRule","empty-line-with-label",
+"brief","sbrief"],["Rule","enclose","default",'[t] "StartEnclose"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "EndEnclose"',"self::enclose"],["Aliases","overbar","self::enclose",'@role="top"'],["Aliases","underbar","self::enclose",'@role="bottom"'],'Rule,leftbar,default,[t] "vertical bar"; [n] children/*[1],self::enclose,@role="left"'.split(","),'Rule,rightbar,default,[n] children/*[1]; [t] "vertical bar",self::enclose,@role="right"'.split(","),'Rule,crossout,default,[t] "CrossOut"; [n] children/*[1]; [t] "EndCrossOut",self::enclose,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),
+'Rule,cancel,default,[t] "CrossOut"; [n] children/*[1]/children/*[1]; [t] "With"; [n] children/*[2]; [t] "EndCrossOut",self::overscore,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),["SpecializedRule","cancel","default","brief"],["SpecializedRule","cancel","default","sbrief"],["Aliases","cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'],'Rule,cancel-reverse,default,[t] "CrossOut"; [n] children/*[2]/children/*[1]; [t] "With"; [n] children/*[1]; [t] "EndCrossOut",self::overscore,name(children/*[2])="enclose",children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'.split(","),
+["SpecializedRule","cancel-reverse","default","brief"],["SpecializedRule","cancel-reverse","default","sbrief"],["Aliases","cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'],'Rule;end-punct;default;[m] children/*;self::punctuated;@role="endpunct"'.split(";"),'Rule,start-punct,default,[n] content/*[1]; [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule,integral-punct,default,[n] children/*[1]; [n] children/*[3],self::punctuated,@role="integral"'.split(","),
+["Rule","punctuated","default","[m] children/*","self::punctuated"],'Rule;unit;default;[t] text() (grammar:annotation="unit":translate:plural);self::identifier;@role="unit"'.split(";"),'Rule;unit-combine;default;[m] children/*;self::infixop;@role="unit"'.split(";"),'Rule,unit-divide,default,[n] children/*[1]; [t] "per"; [n] children/*[2],self::fraction,@role="unit"'.split(","),["Rule","inference","default",'[t] "inference rule"; [m] content/*; [t] "with conclusion"; [n] children/*[1]; [t] "and"; [t] count(children/*[2]/children/*); [t] "premises"',
+"self::inference"],'Rule,inference,default,[t] "inference rule"; ; [m] content/*; [t] "with conclusion"; [n] children/*[1]; [t] "and"; [t] count(children/*[2]/children/*); [t] "premise",self::inference,count(children/*[2]/children/*)<2'.split(","),["Rule","premise","default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"premise ");',"self::premises"],["Rule","conclusion","default","[n] children/*[1]","self::conclusion"],["Rule","label","default",'[t] "label"; [n] children/*[1]',"self::rulelabel"],
+'Rule,axiom,default,[t] "axiom"; [m] children/*[1];,self::inference,@role="axiom"'.split(","),'Rule,axiom,default,[t] "empty axiom";,self::empty,@role="axiom"'.split(",")],initialize:[sre.MathspeakUtil.generateTensorRules]};sre.MathspeakSpanishUtil={};sre.MathspeakSpanishUtil.ordinalCounter=function(a,b){var c=0;return function(){return sre.Messages.NUMBERS.numberToOrdinal(++c,!1)+" "+b}};sre.MathspeakSpanishUtil.smallRoot=function(a){if(!a.childNodes||0===a.childNodes.length||!a.childNodes[0].childNodes)return[];var b=a.childNodes[0].childNodes[0].textContent;if(!/^\d+$/.test(b))return[];b=parseInt(b,10);return 1<b&&10>=b?[a]:[]};sre.UnitUtil={};sre.UnitUtil.unitMultipliers=function(a,b){var c=0;return function(){var d=sre.AuditoryDescription.create({text:sre.UnitUtil.rightMostUnit(a[c])&&sre.UnitUtil.leftMostUnit(a[c+1])?sre.Messages.UNIT_TIMES:""},{});c++;return[d]}};sre.UnitUtil.SCRIPT_ELEMENTS=[sre.SemanticAttr.Type.SUPERSCRIPT,sre.SemanticAttr.Type.SUBSCRIPT,sre.SemanticAttr.Type.OVERSCORE,sre.SemanticAttr.Type.UNDERSCORE];
+sre.UnitUtil.rightMostUnit=function(a){for(;a;){if("unit"===a.getAttribute("role"))return!0;var b=a.tagName;a=sre.XpathUtil.evalXPath("children/*",a);a=-1!==sre.UnitUtil.SCRIPT_ELEMENTS.indexOf(b)?a[0]:a[a.length-1]}return!1};sre.UnitUtil.leftMostUnit=function(a){for(;a;){if("unit"===a.getAttribute("role"))return!0;a=sre.XpathUtil.evalXPath("children/*",a)[0]}return!1};
+sre.UnitUtil.oneLeft=function(a){for(;a;){if("number"===a.tagName&&"1"===a.textContent)return[a];if("infixop"!==a.tagName||"multiplication"!==a.getAttribute("role")&&"implicit"!==a.getAttribute("role"))break;a=sre.XpathUtil.evalXPath("children/*",a)[0]}return[]};sre.MathspeakSpanish={locale:"es",domain:"mathspeak",functions:[["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber],["CQF","CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier],["CSF","CSFspaceoutText",sre.MathspeakUtil.spaceoutText],["CSF","CSFopenFracVerbose",sre.MathspeakUtil.openingFractionVerbose],["CSF","CSFcloseFracVerbose",sre.MathspeakUtil.closingFractionVerbose],["CSF","CSFoverFracVerbose",sre.MathspeakUtil.overFractionVerbose],["CSF","CSFopenFracBrief",sre.MathspeakUtil.openingFractionBrief],
+["CSF","CSFcloseFracBrief",sre.MathspeakUtil.closingFractionBrief],["CSF","CSFopenFracSbrief",sre.MathspeakUtil.openingFractionSbrief],["CSF","CSFcloseFracSbrief",sre.MathspeakUtil.closingFractionSbrief],["CSF","CSFoverFracSbrief",sre.MathspeakUtil.overFractionSbrief],["CSF","CSFopenRadicalVerbose",sre.MathspeakUtil.openingRadicalVerbose],["CSF","CSFcloseRadicalVerbose",sre.MathspeakUtil.closingRadicalVerbose],["CSF","CSFindexRadicalVerbose",sre.MathspeakUtil.indexRadicalVerbose],["CSF","CSFopenRadicalBrief",
+sre.MathspeakUtil.openingRadicalBrief],["CSF","CSFcloseRadicalBrief",sre.MathspeakUtil.closingRadicalBrief],["CSF","CSFindexRadicalBrief",sre.MathspeakUtil.indexRadicalBrief],["CSF","CSFopenRadicalSbrief",sre.MathspeakUtil.openingRadicalSbrief],["CSF","CSFindexRadicalSbrief",sre.MathspeakUtil.indexRadicalSbrief],["CQF","CQFisSmallRoot",sre.MathspeakSpanishUtil.smallRoot],["CSF","CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],
+["CSF","CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFbaselineVerbose",sre.MathspeakUtil.baselineVerbose],["CSF","CSFbaselineBrief",sre.MathspeakUtil.baselineBrief],["CSF","CSFleftsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFleftsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFrightsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFrightsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],
+["CSF","CSFleftsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFleftsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFrightsuperscriptBrief",sre.MathspeakUtil.superscriptBrief],["CSF","CSFrightsubscriptBrief",sre.MathspeakUtil.subscriptBrief],["CSF","CSFunderscript",sre.MathspeakUtil.nestedUnderscore],["CSF","CSFoverscript",sre.MathspeakUtil.nestedOverscore],["CTXF","CTXFordinalCounter",sre.MathspeakSpanishUtil.ordinalCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],
+["CTXF","CTXFunitMultipliers",sre.UnitUtil.unitMultipliers],["CQF","CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple],["CSF","CSFRemoveParens",sre.MathspeakUtil.removeParens],["CQF","CQFoneLeft",sre.UnitUtil.oneLeft],["CQF","CQFresetNesting",sre.MathspeakUtil.resetNestingDepth]],rules:['Rule{collapsed{default{[n] . (engine:modality=summary,grammar:collapsed); [t] "plegado";{self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),["SpecializedRule",
+"collapsed","default","brief"],["SpecializedRule","collapsed","brief","sbrief"],"Rule;stree;default;[n] ./*[1];self::stree;CQFresetNesting".split(";"),["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::number;contains(@grammar, "protected")'.split(";"),["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule;blank-empty;default;[t] "espacio";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),'Rule{font{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),
+'Rule{font-identifier-short{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{not(contains(@grammar, "ignoreFont")){@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "m\u00e1s"; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),
+'Rule{number-with-chars{default{[t] "n\u00famero"; [m] CQFspaceoutNumber (grammar:protected){self::number{@role="othernumber"{"" != translate(text(), "0123456789.,", ""){not(contains(@grammar, "protected"))'.split("{"),["SpecializedRule","number-with-chars","default","brief",'[t] "n\u00fam"; [m] CQFspaceoutNumber (grammar:protected)'],["SpecializedRule","number-with-chars","brief","sbrief"],'Rule{number-as-upper-word{default{[t] "may\u00fascula"; [t] CSFspaceoutText{self::number{string-length(text())>1{text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9"){""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")'.split("{"),
+["SpecializedRule","number-as-upper-word","default","brief"],["SpecializedRule","number-as-upper-word","default","sbrief"],'Rule{number-baseline{default{[t] "l\u00ednea base"; [n] . (grammar:baseline){self::number{not(contains(@grammar, "ignoreFont")){preceding-sibling::identifier{not(contains(@grammar, "baseline")){preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline",
+"default","brief",'[t] "base"; [n] text()'],["SpecializedRule","number-baseline","brief","sbrief"],'Rule{number-baseline-font{default{[t] "l\u00ednea base"; [t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"{preceding-sibling::identifier{preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),["SpecializedRule","number-baseline-font",
+"default","brief",'[t] "base"; [t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font)'],["SpecializedRule","number-baseline-font","brief","sbrief"],'Rule;identifier;default;[m] CQFspaceoutIdentifier;self::identifier;string-length(text())>1;@role!="unit";not(@font) or @font="normal" or contains(@grammar, "ignoreFont");text()!=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", "")'.split(";"),
+["Rule","identifier","default","[n] text()","self::identifier"],'Rule,negative,default,[t] "menos"; [n] children/*[1],self::prefixop,@role="negative",children/identifier'.split(","),["Aliases","negative","self::prefixop",'@role="negative"',"children/number"],["Aliases","negative","self::prefixop",'@role="negative"','children/fraction[@role="vulgar"]'],'Rule,negative,default,[t] "menos"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),["Rule","prefix","default","[m] content/*; [n] children/*[1]",
+"self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [m] content/*","self::postfixop"],["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule;implicit;default;[m] children/*;self::infixop;@role="implicit"'.split(";"),["Aliases","implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"'],'Rule,subtraction,default,[m] children/* (separator:"menos");,self::infixop,@role="subtraction"'.split(","),
+["Rule","function-unknown","default","[n] children/*[1]; [n] children/*[2]","self::appl"],'Rule,function-prefix,default,[n] children/*[1]; [n] children/*[2],self::appl,children/*[1][@role="prefix function"]'.split(","),'Rule,fences-open-close,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="leftright"'.split(","),'Rule,fences-neutral,default,[t] "empezar valor absoluto"; [n] children/*[1]; [t] "finalizar valor absoluto",self::fenced,@role="neutral",content/*[1][text()]="|" or content/*[1][text()]="\u2758" or content/*[1][text()]="\uff5c"'.split(","),
+["SpecializedRule","fences-neutral","default","sbrief",'[t] "valor absoluto"; [n] children/*[1]; [t] "finalizar valor absoluto"'],'Rule,fences-neutral,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="neutral"'.split(","),'Rule,fences-set,default,[t] "empezar llave"; [n] children/*[1]; [t] "finalizar llave",self::fenced,@role="set empty" or @role="set extended" or @role="set singleton" or @role="set collection",not(name(../..)="appl")'.split(","),["SpecializedRule",
+"fences-set","default","sbrief",'[t] "llave"; [n] children/*[1]; [t] "finalizar llave"'],["Rule","text","default","[n] text() (grammar:noTranslateText)","self::text"],'Rule;factorial;default;[t] "factorial";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),'Rule;minus;default;[t] "menos";self::operator;text()="-"'.split(";"),'Rule;single-prime;default;[t] "prima";self::punctuated;@role="prime";count(children/*)=1'.split(";"),'Rule;double-prime;default;[t] "doble prima";self::punctuated;@role="prime";count(children/*)=2'.split(";"),
+'Rule;triple-prime;default;[t] "triple prima";self::punctuated;@role="prime";count(children/*)=3'.split(";"),'Rule;quadruple-prime;default;[t] "cuadruplicar prima";self::punctuated;@role="prime";count(children/*)=4'.split(";"),'Rule,counted-prime,default,[t] count(children/*); [t] "prime",self::punctuated,@role="prime"'.split(","),["Rule","fraction","default","[t] CSFopenFracVerbose; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracVerbose","self::fraction"],["Rule","fraction",
+"brief","[t] CSFopenFracBrief; [n] children/*[1]; [t] CSFoverFracVerbose; [n] children/*[2]; [t] CSFcloseFracBrief","self::fraction"],["Rule","fraction","sbrief","[t] CSFopenFracSbrief; [n] children/*[1]; [t] CSFoverFracSbrief; [n] children/*[2]; [t] CSFcloseFracSbrief","self::fraction"],'Rule,continued-fraction-outer,default,[t] "fracci\u00f3n continua"; [n] children/*[1];[t] "entre"; [n] children/*[2],self::fraction,not(ancestor::fraction),children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),
+["SpecializedRule","continued-fraction-outer","default","brief",'[t] "frac continua"; [n] children/*[1];[t] "entre"; [n] children/*[2]'],["SpecializedRule","continued-fraction-outer","brief","sbrief"],'Rule,continued-fraction-inner,default,[t] "empezar fracci\u00f3n"; [n] children/*[1];[t] "entre"; [n] children/*[2],self::fraction,ancestor::fraction,children/*[2]/descendant-or-self::*[@role="ellipsis" and not(following-sibling::*)]'.split(","),["SpecializedRule","continued-fraction-inner","default",
+"brief",'[t] "empezar frac"; [n] children/*[1];[t] "entre"; [n] children/*[2]'],["SpecializedRule","continued-fraction-inner","brief","sbrief",'[t] "frac"; [n] children/*[1];[t] "entre"; [n] children/*[2]'],["Rule","sqrt","default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt"],["Rule","sqrt","brief","[t] CSFopenRadicalBrief; [n] children/*[1]; [t] CSFcloseRadicalBrief","self::sqrt"],["Rule","sqrt","sbrief","[t] CSFopenRadicalSbrief; [n] children/*[1]; [t] CSFcloseRadicalBrief",
+"self::sqrt"],"Rule,root-small,default,[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose,self::root,CQFisSmallRoot".split(","),"Rule,root-small,brief,[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief,self::root,CQFisSmallRoot".split(","),"Rule,root-small,sbrief,[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief,self::root,CQFisSmallRoot".split(","),["Rule","root","default","[t] CSFindexRadicalVerbose; [n] children/*[1];[t] CSFopenRadicalVerbose; [n] children/*[2]; [t] CSFcloseRadicalVerbose",
+"self::root"],["Rule","root","brief","[t] CSFindexRadicalBrief; [n] children/*[1];[t] CSFopenRadicalBrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root"],["Rule","root","sbrief","[t] CSFindexRadicalSbrief; [n] children/*[1];[t] CSFopenRadicalSbrief; [n] children/*[2]; [t] CSFcloseRadicalBrief","self::root"],'Rule,limboth,default,[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3],self::limboth,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),
+'Rule,limlower,default,[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];,self::limlower,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Rule,limupper,default,[n] children/*[1]; [t] CSFoverscript; [n] children/*[2];,self::limupper,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Aliases;limlower;self::underscore;@role="limit function";name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),
+'Aliases;limlower;self::underscore;children/*[2][@role!="underaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),'Aliases;limupper;self::overscore;children/*[2][@role!="overaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),["Rule","limboth-end","default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "finalizar \u00edndices"',
+"self::limboth"],["Rule","limlower-end","default",'[n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "finalizar \u00edndices"',"self::limlower"],["Rule","limupper-end","default",'[n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "finalizar \u00edndices"',"self::limupper"],["Aliases","limlower-end","self::underscore",'@role="limit function"'],["Aliases","limlower-end","self::underscore"],["Aliases","limupper-end","self::overscore"],["Rule","integral","default","[n] children/*[1]; [n] children/*[2]; [n] children/*[3];",
+"self::integral"],'Rule,integral,default,[n] children/*[1]; [t] "definida"; [t] "sub\u00edndice"; [n] children/*[2];[t] "super\u00edndice"; [n] children/*[3]; [t] "l\u00ednea base";,self::limboth,@role="integral"'.split(","),["SpecializedRule","integral","default","brief",'[n] children/*[1]; [t] "Sub"; [n] children/*[2];[t] "Sup"; [n] children/*[3]; [t] "Base";'],["SpecializedRule","integral","brief","sbrief"],["Rule","bigop","default","[n] children/*[1]; [n] children/*[2];","self::bigop"],["Rule",
+"relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],'Rule,equality,default,[n] children/*[1]; [n] content/*[1]; [n] children/*[2],self::relseq,@role="equality",count(./children/*)=2'.split(","),'Rule;multi-equality;default;[m] children/* (sepFunc:CTXFcontentIterator);self::relseq;@role="equality";count(./children/*)>2'.split(";"),["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],["Rule","subscript","default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]",
+"self::subscript"],["Rule","subscript","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]","self::subscript"],["SpecializedRule","subscript","brief","sbrief"],'Rule,subscript-baseline,default,[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose,self::subscript,following-sibling::*,not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup",not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","subscript-baseline","default","brief","[n] children/*[1]; [t] CSFsubscriptBrief; [n] children/*[2]; [t] CSFbaselineBriefS"],["SpecializedRule","subscript-baseline","brief","sbrief"],'Aliases;subscript-baseline;self::subscript;not(following-sibling::*);ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction;not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","subscript-baseline",
+"self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint()],["Aliases","subscript-baseline","self::subscript","not(following-sibling::*)","@embellished"],'Rule,subscript-empty-sup,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="superscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),["SpecializedRule","subscript-empty-sup",
+"default","brief"],["SpecializedRule","subscript-empty-sup","brief","sbrief"],["Aliases","subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"'],["Rule","superscript","default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript"],["SpecializedRule","superscript","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2]"],["SpecializedRule","superscript","brief","sbrief"],'Rule,superscript-baseline,default,[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose,self::superscript,following-sibling::*,not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+["SpecializedRule","superscript-baseline","default","brief","[n] children/*[1]; [t] CSFsuperscriptBrief; [n] children/*[2];[t] CSFbaselineBriefS"],["SpecializedRule","superscript-baseline","brief","sbrief"],'Aliases;superscript-baseline;self::superscript;not(following-sibling::*);ancestor::punctuated;ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","superscript-baseline","self::superscript",
+"not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt"],["Aliases","superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel","not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint()],'Aliases superscript-baseline self::superscript not(following-sibling::*) @embellished not(children/*[2][@role="prime"])'.split(" "),'Rule,superscript-empty-sub,default,[n] children/*[1]; [n] children/*[2],self::superscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="subscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),
+["SpecializedRule","superscript-empty-sub","default","brief"],["SpecializedRule","superscript-empty-sub","brief","sbrief"],["Aliases","superscript-empty-sub","self::superscript",'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"'],'Rule,square,default,[n] children/*[1]; [t] "al cuadrado",self::superscript,children/*[2],children/*[2][text()=2],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","square","default","brief"],["SpecializedRule","square","default","sbrief"],'Aliases;square;self::superscript;children/*[2];children/*[2][text()=2];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,cube,default,[n] children/*[1]; [t] "al cubo",self::superscript,children/*[2],children/*[2][text()=3],name(children/*[1])!="text" or not(name(children/*[1])="text" and (name(../../../punctuated[@role="text"]/..)="stree" or name(..)="stree")),name(children/*[1])!="subscript" or (name(children/*[1])="subscript" and name(children/*[1]/children/*[1])="identifier" and name(children/*[1]/children/*[2])="number" and children/*[1]/children/*[2][@role!="mixed"] and children/*[1]/children/*[2][@role!="othernumber"]),not(@embellished)'.split(","),
+["SpecializedRule","cube","default","brief"],["SpecializedRule","cube","default","sbrief"],'Aliases;cube;self::superscript;children/*[2];children/*[2][text()=3];@embellished;children/*[1][@role="prefix operator"]'.split(";"),'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"]'.split(","),["SpecializedRule","prime","default","brief"],["SpecializedRule","prime","default","sbrief"],'Rule,prime-subscript,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",not(following-sibling::*)'.split(","),
+["SpecializedRule","prime-subscript","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]"],["SpecializedRule","prime-subscript","brief","sbrief"],'Rule,prime-subscript-baseline,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose,self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",following-sibling::*'.split(","),
+["SpecializedRule","prime-subscript-baseline","default","brief","[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptBrief; [n] children/*[1]/children/*[2]; [t] CSFbaselineBriefS"],["SpecializedRule","prime-subscript-baseline","brief","sbrief"],'Aliases prime-subscript-baseline self::superscript children/*[2][@role="prime"] name(children/*[1])="subscript" not(following-sibling::*) @embellished'.split(" "),'Rule,overscore,default,[t] "modificando superior"; [n] children/*[1]; [t] "con"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"]'.split(","),
+["SpecializedRule","overscore","default","brief",'[t] "mod superior"; [n] children/*[1]; [t] "con"; [n] children/*[2]'],["SpecializedRule","overscore","brief","sbrief"],'Rule,double-overscore,default,[t] "modificando superior superior"; [n] children/*[1]; [t] "con"; [n] children/*[2],self::overscore,children/*[2][@role="overaccent"],name(children/*[1])="overscore",children/*[1]/children/*[2][@role="overaccent"]'.split(","),["SpecializedRule","double-overscore","default","brief",'[t] "mod superior superior"; [n] children/*[1]; [t] "con"; [n] children/*[2]'],
+["SpecializedRule","double-overscore","brief","sbrief"],'Rule,underscore,default,[t] "modificando inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"]'.split(","),["SpecializedRule","underscore","default","brief",'[t] "mod inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2]'],["SpecializedRule","underscore","brief","sbrief"],'Rule,double-underscore,default,[t] "modificando inferior inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2],self::underscore,children/*[2][@role="underaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role="underaccent"]'.split(","),
+["SpecializedRule","double-underscore","default","brief",'[t] "mod inferior inferior"; [n] children/*[1]; [t] "con"; [n] children/*[2]'],["SpecializedRule","double-underscore","brief","sbrief"],'Rule,overbar,default,[n] children/*[1]; [t] "barra",self::overscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="overaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),["SpecializedRule","overbar",
+"default","brief",'[n] children/*[1]; [t] "barra"'],["SpecializedRule","overbar","brief","sbrief"],'Rule,underbar,default,[n] children/*[1]; [t] "subbarra",self::underscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="underaccent"],children/*[2][text()="\u00af" or text()="\uffe3" or text()="\uff3f" or text()="_" or text()="\u203e"]'.split(","),["SpecializedRule","underbar","default","brief",'[n] children/*[1]; [t] "subbarra"'],["SpecializedRule","underbar",
+"brief","sbrief"],'Rule,overtilde,default,[n] children/*[1]; [t] "tilde",self::overscore,children/*[2][@role="overaccent"],@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]'.split(","),["SpecializedRule","overtilde","default","brief",'[n] children/*[1]; [t] "tilde"'],["SpecializedRule","overtilde","brief","sbrief"],'Rule,undertilde,default,[n] children/*[1]; [t] "subtilde",self::underscore,@role="latinletter" or @role="greekletter" or @role="otherletter",children/*[2][@role="underaccent"],children/*[2][text()="~" or text()="\u02dc" or text()="\u223c" or text()="\uff5e"]'.split(","),
+["SpecializedRule","undertilde","default","brief",'[n] children/*[1]; [t] "subtilde"'],["SpecializedRule","undertilde","brief","sbrief"],'Rule,matrix-fence,default,[n] children/*[1];,self::fenced,count(children/*)=1,name(children/*[1])="matrix"'.split(","),["Rule","matrix","default",'[t] "empezar matriz"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar matriz"',"self::matrix"],["Rule","matrix","sbrief",
+'[t] "matriz"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:" "); [t] "finalizar matriz"',"self::matrix"],["Aliases","matrix","self::vector"],["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFordinalCounter,context:"columna");[p] (pause: 200)',"self::row"],'Rule{row-with-label{default{[t] "con etiqueta"; [n] content/*[1]; [t] "finalizar etiqueta" (pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"columna"){self::row{content'.split("{"),
+'Rule{row-with-label{brief{[t] "etiqueta"; [n] content/*[1]; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"columna"){self::row{content'.split("{"),["SpecializedRule","row-with-label","brief","sbrief"],'Rule{row-with-text-label{sbrief{[t] "etiqueta"; [t] CSFRemoveParens;[m] children/* (ctxtFunc:CTXFordinalCounter,context:"columna"){self::row{content{name(content/cell/children/*[1])="text"'.split("{"),'Rule;empty-row;default;[t] "espacio";self::row;count(children/*)=0'.split(";"),["Rule","matrix-cell",
+"default","[n] children/*[1]; [p] (pause: 300)","self::cell"],'Rule,empty-cell,default,[t] "espacio"; [p] (pause: 300),self::cell,count(children/*)=0'.split(","),'Rule{determinant{default{[t] "empezar determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar determinante"{self::matrix{@role="determinant"'.split("{"),["SpecializedRule","determinant","default","sbrief",'[t] "determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar determinante"'],
+'Rule{determinant-simple{default{[t] "empezar determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila",grammar:simpleDet); [t] "finalizar determinante"{self::matrix{@role="determinant"{CQFdetIsSimple'.split("{"),["SpecializedRule","determinant-simple","default","sbrief",'[t] "determinante"; [t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila",grammar:simpleDet); [t] "finalizar determinante"'],
+'Rule{row-simple{default{[m] children/*;{self::row{@role="determinant"{contains(@grammar, "simpleDet")'.split("{"),["Rule","layout","default",'[t] "empezar esquema"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar esquema"',"self::table"],["Rule","layout","sbrief",'[t] "esquema"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar esquema"',"self::table"],'Rule,binomial,default,[t] "empezar binomial"; [n] children/*[1]/children/*[1]; [t] "en"; [n] children/*[2]/children/*[1];  [t] "finalizar binomial",self::vector,@role="binomial"'.split(","),
+'Rule,binomial,sbrief,[t] "binomial"; [n] children/*[1]/children/*[1]; [t] "en"; [n] children/*[2]/children/*[1];  [t] "finalizar binomial",self::vector,@role="binomial"'.split(","),["Rule","cases","default",'[t] "empezar esquema"; [n] content/*[1]; [t] "alargada"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar esquema"',"self::cases"],["Rule","cases","sbrief",'[t] "esquema"; [n] content/*[1]; [t] "alargada"; [m] children/* (ctxtFunc:CTXFordinalCounter,context:"fila "); [t] "finalizar esquema"',
+"self::cases"],["Aliases","layout","self::multiline"],["Rule","line","default","[m] children/*","self::line"],'Rule,line-with-label,default,[t] "con etiqueta"; [n] content/*[1]; [t] "finalizar etiqueta" (pause: 200); [m] children/*,self::line,content'.split(","),["SpecializedRule","line-with-label","default","brief",'[t] "etiqueta"; [n] content/*[1] (pause: 200); [m] children/*'],["SpecializedRule","line-with-label","brief","sbrief"],'Rule,line-with-text-label,sbrief,[t] "etiqueta"; [t] CSFRemoveParens; [m] children/*,self::line,content,name(content/cell/children/*[1])="text"'.split(","),
+'Rule;empty-line;default;[t] "espacio";self::line;count(children/*)=0;not(content)'.split(";"),["SpecializedRule","empty-line","default","brief"],["SpecializedRule","empty-line","brief","sbrief"],'Rule,empty-line-with-label,default,[t] "con etiqueta"; [n] content/*[1]; [t] "finalizar etiqueta" (pause: 200); [t] "espacio",self::line,count(children/*)=0,content'.split(","),["SpecializedRule","empty-line-with-label","default","brief",'[t] "etiqueta"; [n] content/*[1] (pause: 200); [t] "espacio"'],["SpecializedRule",
+"empty-line-with-label","brief","sbrief"],["Rule","enclose","default",'[t] "empezar rodear"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "finalizar rodear"',"self::enclose"],["Aliases","overbar","self::enclose",'@role="top"'],["Aliases","underbar","self::enclose",'@role="bottom"'],'Rule,leftbar,default,[t] "barra vertical"; [n] children/*[1],self::enclose,@role="left"'.split(","),'Rule,rightbar,default,[n] children/*[1]; [t] "barra vertical",self::enclose,@role="right"'.split(","),'Rule,crossout,default,[t] "tachado"; [n] children/*[1]; [t] "finalizar tachado",self::enclose,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),
+'Rule,cancel,default,[t] "tachado"; [n] children/*[1]/children/*[1]; [t] "con"; [n] children/*[2]; [t] "finalizar tachado",self::overscore,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),["SpecializedRule","cancel","default","brief"],["SpecializedRule","cancel","default","sbrief"],["Aliases","cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'],'Rule,cancel-reverse,default,[t] "tachado"; [n] children/*[2]/children/*[1]; [t] "con"; [n] children/*[1]; [t] "finalizar tachado",self::overscore,name(children/*[2])="enclose",children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'.split(","),
+["SpecializedRule","cancel-reverse","default","brief"],["SpecializedRule","cancel-reverse","default","sbrief"],["Aliases","cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'],'Rule;end-punct;default;[m] children/*;self::punctuated;@role="endpunct"'.split(";"),'Rule,start-punct,default,[n] content/*[1]; [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule,integral-punct,default,[n] children/*[1]; [n] children/*[3],self::punctuated,@role="integral"'.split(","),
+["Rule","punctuated","default","[m] children/*","self::punctuated"],'Rule;unit-singular;default;[t] text() (grammar:annotation="unit":translate);self::identifier;@role="unit"'.split(";"),'Rule;unit-plural;default;[t] text() (grammar:annotation="unit":translate:plural);self::identifier;@role="unit";not(contains(@grammar, "singularUnit"))'.split(";"),'Rule,unit-square,default,[n] children/*[1]; [t] "cuadrado",self::superscript,@role="unit",children/*[2][text()=2],name(children/*[1])="identifier"'.split(","),
+'Rule,unit-cubic,default,[n] children/*[1]; [t] "c\u00fabico",self::superscript,@role="unit",children/*[2][text()=3],name(children/*[1])="identifier"'.split(","),'Rule,reciprocal,default,[t] "rec\u00edproco"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]'.split(","),'Rule,reciprocal,default,[t] "por"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],preceding-sibling::*[@role="unit"]'.split(","),
+'Rule;unit-combine;default;[m] children/* (sepFunc:CTXFunitMultipliers);self::infixop;@role="unit"'.split(";"),'Rule,unit-combine-mult,default,[m] children/* (sepFunc:CTXFunitMultipliers);,self::infixop,@role="multiplication" or @role="implicit",children/*[@role="unit"]'.split(","),'Rule{unit-combiner-singular{default{[n] children/*[1]; [t] "por"; [m] children/*[position()>1] (grammar:!singularUnit, sepFunc:CTXFunitMultipliers){self::infixop{@role="unit"{name(children/*[1])!="number"{contains(@grammar, "singularUnit"){count(children/*)>1'.split("{"),
+'Rule,unit-combine-singular-first,default,[n] children/*[1]; [n] children/*[2] (grammar:singularUnit); [t] "por"; [m] children/*[position()>2] (sepFunc:CTXFunitMultipliers),self::infixop,@role="unit",name(children/*[1])="number",children/*[1][text()=1]'.split(","),'Rule,unit-combine-singular-first,default,[n] children/*[1]; [n] children/*[2] (grammar:singularUnit); ,self::infixop,@role="unit",name(children/*[1])="number",children/*[1][text()=1],count(children/*)=2'.split(","),'Rule,unit-divide,default,[n] children/*[1]; [t] "por"; [n] children/*[2] (grammar:singularUnit),self::fraction,@role="unit"'.split(",")],
+initialize:[sre.MathspeakUtil.generateTensorRules]};sre.NemethUtil={};sre.NemethUtil.openingFraction=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a).join(sre.Messages.MS.FRACTION_REPEAT)+sre.Messages.MS.FRACTION_START};sre.NemethUtil.closingFraction=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a).join(sre.Messages.MS.FRACTION_REPEAT)+sre.Messages.MS.FRACTION_END};sre.NemethUtil.overFraction=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a).join(sre.Messages.MS.FRACTION_REPEAT)+sre.Messages.MS.FRACTION_OVER};
+sre.NemethUtil.overBevelledFraction=function(a){a=sre.MathspeakUtil.fractionNestingDepth(a);return Array(a).join(sre.Messages.MS.FRACTION_REPEAT)+"\u2838"+sre.Messages.MS.FRACTION_OVER};sre.NemethUtil.nestedRadical=function(a,b){a=sre.NemethUtil.radicalNestingDepth(a);return 1===a?b:Array(a).join(sre.Messages.MS.NESTED)+b};sre.NemethUtil.radicalNestingDepth=function(a,b){b=b||0;return a.parentNode?sre.NemethUtil.radicalNestingDepth(a.parentNode,"root"===a.tagName||"sqrt"===a.tagName?b+1:b):b};
+sre.NemethUtil.openingRadical=function(a){return sre.NemethUtil.nestedRadical(a,sre.Messages.MS.STARTROOT)};sre.NemethUtil.closingRadical=function(a){return sre.NemethUtil.nestedRadical(a,sre.Messages.MS.ENDROOT)};sre.NemethUtil.indexRadical=function(a){return sre.NemethUtil.nestedRadical(a,sre.Messages.MS.ROOTINDEX)};
+sre.NemethUtil.enlargeFence=function(a){if(1===a.length)return"\u2820"+a;var b=a.split("");return b.every(function(c){return"\u2833"===c})?"\u2820"+b.join("\u2820"):a.slice(0,1)+"\u2820"+a.slice(1)};sre.Grammar.getInstance().setCorrection("enlargeFence",sre.NemethUtil.enlargeFence);sre.NemethUtil.NUMBER_PROPAGATORS_=[sre.SemanticAttr.Type.MULTIREL,sre.SemanticAttr.Type.RELSEQ,sre.SemanticAttr.Type.PUNCTUATED,sre.SemanticAttr.Type.APPL];
+sre.NemethUtil.checkParent_=function(a){a=a.parent;if(!a)return!1;var b=a.type;return-1!==sre.NemethUtil.NUMBER_PROPAGATORS_.indexOf(b)||b===sre.SemanticAttr.Type.PREFIXOP&&a.role===sre.SemanticAttr.Role.NEGATIVE?!0:!1};sre.NemethUtil.propagateNumber=function(a,b){if(!a.childNodes.length)return sre.NemethUtil.checkParent_(a)&&(b.number=!0),[b.number?"number":"",{number:!1}];sre.NemethUtil.checkParent_(a)&&(b.number=!0);return["",b]};
+sre.NemethUtil.numberIndicator=function(){return new sre.SemanticVisitor("nemeth",sre.NemethUtil.propagateNumber,{number:!0})};sre.NemethUtil.addAnnotators=function(){sre.SemanticAnnotations.getInstance().register(sre.NemethUtil.numberIndicator())};sre.NemethUtil.componentString_={2:"CSFbaseline",1:"CSFsubscript",0:"CSFsuperscript"};sre.NemethUtil.childNumber_={4:2,3:3,2:1,1:4,0:5};
+sre.NemethUtil.generateTensorRuleStrings_=function(a){var b=[],c="";a=parseInt(a,2);for(var d=0;5>d;d++){var e="children/*["+sre.NemethUtil.childNumber_[d]+"]";a&1?c="[t] "+sre.NemethUtil.componentString_[d%3]+"Verbose; [n] "+e+";"+c:b.unshift("name("+e+')="empty"');a>>=1}b.push(c);return b};
+sre.NemethUtil.generateTensorRules=function(a){var b=goog.bind(a.defineRule,a);a=goog.bind(a.defineRulesAlias,a);for(var c="11111 11110 11101 11100 10111 10110 10101 10100 01111 01110 01101 01100".split(" "),d=0,e;e=c[d];d++){var f="tensor"+e;e=sre.NemethUtil.generateTensorRuleStrings_(e);var g=e.pop(),h=[f,"default.default",g,"self::tensor"].concat(e);b.apply(null,h);g+="; [t]"+sre.NemethUtil.componentString_[2]+"Verbose";f+="-baseline";h=[f,"default.default",g,"self::tensor","following-sibling::*"].concat(e);
+b.apply(null,h);f=[f,"self::tensor","not(following-sibling::*)","ancestor::fraction|ancestor::punctuated|ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::relseq|ancestor::multirel|@embellished"].concat(e);a.apply(null,f)}};sre.NemethRules={locale:"nemeth",modality:"braille",domain:"default",functions:[["CQF","CQFspaceoutNumber",sre.MathspeakUtil.spaceoutNumber],["CQF","CQFspaceoutIdentifier",sre.MathspeakUtil.spaceoutIdentifier],["CSF","CSFspaceoutText",sre.MathspeakUtil.spaceoutText],["CSF","CSFopenFraction",sre.NemethUtil.openingFraction],["CSF","CSFcloseFraction",sre.NemethUtil.closingFraction],["CSF","CSFoverFraction",sre.NemethUtil.overFraction],["CSF","CSFoverBevFraction",sre.NemethUtil.overBevelledFraction],
+["CSF","CSFopenRadicalVerbose",sre.NemethUtil.openingRadical],["CSF","CSFcloseRadicalVerbose",sre.NemethUtil.closingRadical],["CSF","CSFindexRadicalVerbose",sre.NemethUtil.indexRadical],["CSF","CSFsuperscriptVerbose",sre.MathspeakUtil.superscriptVerbose],["CSF","CSFsubscriptVerbose",sre.MathspeakUtil.subscriptVerbose],["CSF","CSFbaselineVerbose",sre.MathspeakUtil.baselineVerbose],["CSF","CSFunderscript",sre.MathspeakUtil.nestedUnderscore],["CSF","CSFoverscript",sre.MathspeakUtil.nestedOverscore],
+["CTXF","CTXFordinalCounter",sre.NumbersUtil.ordinalCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator],["CQF","CQFdetIsSimple",sre.MathspeakUtil.determinantIsSimple],["CSF","CSFRemoveParens",sre.MathspeakUtil.removeParens],["CQF","CQFresetNesting",sre.MathspeakUtil.resetNestingDepth]],rules:["Rule;stree;default;[n] ./*[1];self::stree;CQFresetNesting".split(";"),["Rule","unknown","default","[n] text()","self::unknown"],'Rule;protected;default;[t] text();self::*;@role="protected"'.split(";"),
+["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule;blank-empty;default;[t] "\u2800";self::empty;count(../*)=1;name(../..)="cell" or name(../..)="line"'.split(";"),'Rule{font{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier-short{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{not(contains(@grammar, "ignoreFont")){@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;@role!="greekletter";not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),'Rule{number-indicator{default{[t] "\u283c"; [n] text() (pause:10){self::number{contains(@annotation, "nemeth:number"){not(ancestor::sqrt){not(ancestor::root){not(ancestor::fraction)'.split("{"),
+["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "\u2838\u2839"; [n] children/*[2]/children/*[1]; [t] "\u280c"; [n] children/*[2]/children/*[2]; [t] "\u2838\u283c",self::number,@role="mixed"'.split(","),'Rule{number-with-chars{default{[t] "\u283c"; [m] CQFspaceoutNumber{self::number{"" != translate(text(), "0123456789.,", ""){text() != translate(text(), "0123456789.,", "")'.split("{"),'Rule{number-as-upper-word{default{[t] "UpperWord"; [t] CSFspaceoutText{self::number{string-length(text())>1{text()=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9", "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9"){""=translate(text(), "ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9","")'.split("{"),
+'Rule{number-baseline{default{[t] "\u2810"; [n] text(){self::number{not(contains(@grammar, "ignoreFont")){preceding-sibling::identifier{preceding-sibling::*[1][@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),'Rule{number-baseline-font{default{[t] "\u2810"; [t] @font; [n] . (grammar:ignoreFont=@font){self::number{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"{preceding-sibling::identifier{preceding-sibling::*[@role="latinletter" or @role="greekletter" or @role="otherletter"]{parent::*/parent::infixop[@role="implicit"]'.split("{"),
+'Rule;identifier;default;[n] text();self::identifier;@role="protected"'.split(";"),'Rule,negative,default,[t] "\u2824"; [n] children/*[1],self::prefixop,@role="negative"'.split(","),["Rule","prefix","default","[n] text(); [n] children/*[1]","self::prefixop"],["Rule","postfix","default","[n] children/*[1]; [n] text()","self::postfixop"],["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule;implicit;default;[m] children/*;self::infixop;@role="implicit"'.split(";"),
+["Aliases","implicit","self::infixop",'@role="leftsuper" or @role="leftsub" or @role="rightsuper" or @role="rightsub"'],["Rule","function-named","default",'[n] children/*[1]; [t] "\u2800"; [n] children/*[2]',"self::appl"],'Rule,function-prefix,default,[n] content/*[1]; [t] "\u2800"; [n] children/*[1],self::prefixop,content/*[1][@role="infix function"]'.split(","),'Rule,function-infix,default,[n] children/*[1]; [n] content/*[1]; [t] "\u2800"; [n] children/*[2],self::infixop,@role="infix function"'.split(","),
+'Rule,function-simple,default,[n] children/*[1]; [n] children/*[2],self::appl,children/*[1][@role="simple function"]'.split(","),["Rule","fences-open-close","default","[n] content/*[1]; [n] children/*[1]; [n] content/*[2]","self::fenced"],'Rule,fences-neutral,default,[n] content/*[1]; [n] children/*[1]; [n] content/*[2],self::fenced,@role="neutral"'.split(","),["Rule","text","default","[n] text()","self::text"],'Rule;factorial;default;[t] "\u282f";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),
+'Rule;single-prime;default;[t] "\u2804";self::punctuated;@role="prime";count(children/*)=1'.split(";"),'Rule;double-prime;default;[t] "\u2804\u2804";self::punctuated;@role="prime";count(children/*)=2'.split(";"),'Rule;triple-prime;default;[t] "\u2804\u2804\u2804";self::punctuated;@role="prime";count(children/*)=3'.split(";"),'Rule;quadruple-prime;default;[t] "\u2804\u2804\u2804\u2804";self::punctuated;@role="prime";count(children/*)=4'.split(";"),["Rule","fraction","default","[t] CSFopenFraction; [n] children/*[1]; [t] CSFoverFraction; [n] children/*[2]; [t] CSFcloseFraction",
+"self::fraction"],'Rule{bevelled-fraction{default{[t] CSFopenFraction; [n] children/*[1]; [t] CSFoverBevFraction; [n] children/*[2]; [t] CSFcloseFraction{self::fraction{contains(@annotation, "general:bevelled")'.split("{"),["Rule","sqrt","default","[t] CSFopenRadicalVerbose; [n] children/*[1]; [t] CSFcloseRadicalVerbose","self::sqrt"],["Rule","root","default",'[t] CSFindexRadicalVerbose; [n] children/*[1];[t] "\u281c"; [n] children/*[2]; [t] CSFcloseRadicalVerbose',"self::root"],'Rule,limboth,default,[t] "\u2810"; [n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3],self::limboth,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),
+'Rule,limlower,default,[t] "\u2810"; [n] children/*[1]; [t] CSFunderscript; [n] children/*[2];,self::limlower,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Rule,limupper,default,[t] "\u2810"; [n] children/*[1]; [t] CSFoverscript; [n] children/*[2];,self::limupper,name(../..)="underscore" or name(../..)="overscore",following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(","),'Aliases;limlower;self::underscore;@role="limit function";name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),
+'Aliases;limlower;self::underscore;children/*[2][@role!="underaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),'Aliases;limupper;self::overscore;children/*[2][@role!="overaccent"];name(../..)="underscore" or name(../..)="overscore";following-sibling::*[@role!="underaccent" and @role!="overaccent"]'.split(";"),["Rule","limboth-end","default",'[t] "\u2810"; [n] children/*[1]; [t] CSFunderscript; [n] children/*[2];[t] CSFoverscript; [n] children/*[3]; [t] "\u283b"',
+"self::limboth"],["Rule","limlower-end","default",'[t] "\u2810"; [n] children/*[1]; [t] CSFunderscript; [n] children/*[2]; [t] "\u283b"',"self::limlower"],["Rule","limupper-end","default",'[t] "\u2810"; [n] children/*[1]; [t] CSFoverscript; [n] children/*[2]; [t] "\u283b"',"self::limupper"],["Aliases","limlower-end","self::underscore",'@role="limit function"'],["Aliases","limlower-end","self::underscore"],["Aliases","limupper-end","self::overscore"],["Rule","integral","default","[n] children/*[1]; [n] children/*[2]; [n] children/*[3];",
+"self::integral"],'Rule,integral,default,[n] children/*[1]; [t] "\u2830"; [n] children/*[2];[t] "\u2818"; [n] children/*[3]; [t] "\u2810",self::limboth,@role="integral"'.split(","),["Rule","bigop","default","[n] children/*[1]; [n] children/*[2];","self::bigop"],["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],'Rule,equality,default,[n] children/*[1]; [n] content/*[1]; [n] children/*[2],self::relseq,@role="equality",count(./children/*)=2'.split(","),'Rule;multi-equality;default;[m] children/* (sepFunc:CTXFcontentIterator);self::relseq;@role="equality";count(./children/*)>2'.split(";"),
+["Rule","multrel","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::multirel"],["Rule","subscript","default","[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]","self::subscript"],'Rule,subscript-simple,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(./children/*[1])="identifier",name(./children/*[2])="number",./children/*[2][@role!="mixed"],./children/*[2][@role!="othernumber"],self::*'.split(","),'Rule,subscript-baseline,default,[n] children/*[1]; [t] CSFsubscriptVerbose; [n] children/*[2]; [t] CSFbaselineVerbose,self::subscript,following-sibling::*,@role!="prefix function",not(name(following-sibling::subscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="subscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and @role!="subsup",not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+'Aliases;subscript-baseline;self::subscript;not(following-sibling::*);ancestor::fenced|ancestor::root|ancestor::sqrt|ancestor::punctuated|ancestor::fraction;not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","subscript-baseline","self::subscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",sre.MathspeakUtil.generateBaselineConstraint()],["Aliases","subscript-baseline","self::subscript","not(following-sibling::*)",
+"@embellished"],'Rule,subscript-empty-sup,default,[n] children/*[1]; [n] children/*[2],self::subscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="superscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),["Aliases","subscript-empty-sup","self::subscript",'name(children/*[2])="superscript"','name(children/*[2]/children/*[1])="empty"'],["Rule","superscript","default","[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2]","self::superscript"],
+'Rule,superscript-baseline,default,[n] children/*[1]; [t] CSFsuperscriptVerbose; [n] children/*[2];[t] CSFbaselineVerbose,self::superscript,following-sibling::*,@role!="prefix function",not(name(following-sibling::superscript/children/*[1])="empty" or (name(following-sibling::infixop[@role="implicit"]/children/*[1])="superscript" and name(following-sibling::*/children/*[1]/children/*[1])="empty")) and not(following-sibling::*[@role="rightsuper" or @role="rightsub" or @role="leftsub" or @role="leftsub"])'.split(","),
+'Aliases;superscript-baseline;self::superscript;not(following-sibling::*);ancestor::punctuated;ancestor::*/following-sibling::* and not(ancestor::punctuated[@role="leftsuper" or @role="rightsub" or @role="rightsuper" or @role="rightsub"])'.split(";"),["Aliases","superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::fraction|ancestor::fenced|ancestor::root|ancestor::sqrt"],["Aliases","superscript-baseline","self::superscript","not(following-sibling::*)","ancestor::relseq|ancestor::multirel",
+"not(@embellished)",sre.MathspeakUtil.generateBaselineConstraint()],'Aliases superscript-baseline self::superscript not(following-sibling::*) @embellished not(children/*[2][@role="prime"])'.split(" "),'Rule,superscript-empty-sub,default,[n] children/*[1]; [n] children/*[2],self::superscript,name(children/*[2])="infixop",name(children/*[2][@role="implicit"]/children/*[1])="subscript",name(children/*[2]/children/*[1]/children/*[1])="empty"'.split(","),["Aliases","superscript-empty-sub","self::superscript",
+'name(children/*[2])="subscript"','name(children/*[2]/children/*[1])="empty"'],'Rule,prime,default,[n] children/*[1]; [n] children/*[2],self::superscript,children/*[2],children/*[2][@role="prime"]'.split(","),'Rule,prime-subscript,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",not(following-sibling::*)'.split(","),'Rule,prime-subscript-baseline,default,[n] children/*[1]/children/*[1]; [n] children/*[2]; [t] CSFsubscriptVerbose; [n] children/*[1]/children/*[2]; [t] CSFbaselineVerbose,self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",following-sibling::*'.split(","),
+'Aliases prime-subscript-baseline self::superscript children/*[2][@role="prime"] name(children/*[1])="subscript" not(following-sibling::*) @embellished'.split(" "),'Rule,prime-subscript-simple,default,[n] children/*[1]/children/*[1]; [n] children/*[2];[n] children/*[1]/children/*[2],self::superscript,children/*[2][@role="prime"],name(children/*[1])="subscript",name(children/*[1]/children/*[1])="identifier",name(children/*[1]/children/*[2])="number",children/*[1]/children/*[2][@role!="mixed"],children/*[1]/children/*[2][@role!="othernumber"]'.split(","),
+'Rule,overscore,default,[t] "\u2810"; [n] children/*[1]; [t] "\u2823"; [n] children/*[2]; [t] "\u283b",self::overscore,children/*[2][@role="overaccent"]'.split(","),'Rule{overscore{default{[n] children/*[1]; [t] "\u2823"; [n] children/*[2]{self::overscore{children/*[2][@role="overaccent"]{contains(@grammar, "modified")'.split("{"),'Rule,double-overscore,default,[t] "\u2810"; [n] children/*[1] (grammar:"modified"); [t] "\u2823"; [n] children/*[2]; [t] "\u283b",self::overscore,children/*[2][@role="overaccent"],name(children/*[1])="overscore",children/*[1]/children/*[2][@role="overaccent"]'.split(","),
+'Rule,underscore,default,[t] "\u2810"; [n] children/*[1]; [t] "\u2829"; [n] children/*[2]; [t] "\u283b",self::underscore,children/*[2][@role="underaccent"]'.split(","),'Rule{underscore{default{[n] children/*[1]; [t] "\u2829"; [n] children/*[2]{self::underscore{children/*[2][@role="underaccent"]{contains(@grammar, "modified")'.split("{"),'Rule,double-underscore,default,[t] "\u2810"; [n] children/*[1] (grammar:"modified"); [t] "\u2829"; [n] children/*[2]; [t] "\u283b",self::underscore,children/*[2][@role="underaccent"],name(children/*[1])="underscore",children/*[1]/children/*[2][@role="underaccent"]'.split(","),
+'Rule,matrix-fence,default,[n] children/*[1];,self::fenced,count(children/*)=1,name(children/*[1])="matrix"'.split(","),["Rule","matrix","default",'[m] children/* (separator:"\u2800", join:"");',"self::matrix"],["Aliases","matrix","self::vector"],["Rule","matrix-row","default",'[n] ../../content/*[1] (grammar:enlargeFence); [m] children/* (separator:"\u2800"); [n] ../../content/*[2] (grammar:enlargeFence); ',"self::row"],["Aliases","matrix-row","self::line",'@role="vector"'],["Aliases","matrix-row",
+"self::line",'@role="binomial"'],'Rule{row-with-label{default{[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [m] children/* (ctxtFunc:CTXFordinalCounter,context:"Column"){self::row{content'.split("{"),'Rule;empty-row;default;[t] "\u2800" (pause:300);self::row;count(children/*)=0'.split(";"),["Rule","matrix-cell","default","[n] children/*[1]","self::cell"],'Rule;empty-cell;default;[t] "\u2800" (pause: 300);self::cell;count(children/*)=0'.split(";"),["Rule","layout","default",'[m] children/* (separator:"\u2800", join:"");',
+"self::table"],["Rule","cases","default",'[n] ../../content/*[1] (grammar:enlargeFence); [m] children/* (separator:"\u2800"); [t] "\u2810"',"self::cases"],["Aliases","layout","self::multiline"],["Rule","line","default","[m] children/*","self::line"],'Rule,line-with-label,default,[t] "with Label"; [n] content/*[1]; [t] "EndLabel" (pause: 200); [m] children/*,self::line,content'.split(","),'Rule;empty-line;default;[t] "\u2800";self::line;count(children/*)=0;not(content)'.split(";"),'Rule,empty-line-with-label,default,[t] "with Label"; [n] content/*[1]; [t] "EndLabel"(pause: 200); [t] "Blank",self::line,count(children/*)=0,content'.split(","),
+["Rule","enclose","default",'[t] "StartEnclose"; [t] @role (grammar:localEnclose); [n] children/*[1]; [t] "EndEnclose"',"self::enclose"],'Rule,overbar,default,[t] "\u2810"; [n] children/*[1]; [t] "\u2823\u2831\u283b",self::enclose,@role="top"'.split(","),'Rule,underbar,default,[t] "\u2810"; [n] children/*[1]; [t] "\u2829\u2831\u283b",self::enclose,@role="bottom"'.split(","),'Rule,leftbar,default,[t] "\u2833"; [n] children/*[1],self::enclose,@role="left"'.split(","),'Rule,rightbar,default,[n] children/*[1]; [t] "\u2833",self::enclose,@role="right"'.split(","),
+'Rule,crossout,default,[t] "\u282a"; [n] children/*[1]; [t] "\u283b",self::enclose,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),'Rule,cancel,default,[t] "\u282a"; [n] children/*[1]/children/*[1]; [t] "\u282a"; [n] children/*[2]; [t] "\u283b",self::overscore,@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'.split(","),["Aliases","cancel","self::underscore",'@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"'],
+'Rule,cancel-reverse,default,[t] "\u282a"; [n] children/*[2]/children/*[1]; [t] "\u282a"; [n] children/*[1]; [t] "\u283b",self::overscore,name(children/*[2])="enclose",children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'.split(","),["Aliases","cancel-reverse","self::underscore",'name(children/*[2])="enclose"','children/*[2][@role="updiagonalstrike" or @role="downdiagonalstrike" or @role="horizontalstrike"]'],'Rule;end-punct;default;[m] children/*;self::punctuated;@role="endpunct"'.split(";"),
+'Rule,start-punct,default,[n] content/*[1]; [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule{punctuation{default{[n] text(); [t] "\u2810"{self::punctuation{@role="fullstop"{contains(@annotation, "nemeth:number")'.split("{"),'Rule,integral-punct,default,[n] children/*[1]; [n] children/*[3],self::punctuated,@role="integral"'.split(","),["Rule","punctuated","default","[m] children/*","self::punctuated"],'Rule,punctuation-comma,default,[n] text(); [t] "\u2800",self::punctuation,parent::*/parent::punctuated,following-sibling::*,@role!="fullstop"'.split(","),
+'Rule,punctuation-ellipses,default,[t] "\u2800"; [n] text(); [t] "\u2800",self::punctuation,parent::*/parent::punctuated,following-sibling::*,@role="ellipsis",name(preceding-sibling::*[1])!="punctuation"'.split(","),'Rule,punctuation-ellipses,default,[t] "\u2800"; [n] text();,self::punctuation,parent::*/parent::punctuated,@role="ellipsis",name(preceding-sibling::*[1])!="punctuation"'.split(","),'Rule,reference-sign,default,[n] children/*[1]; [n] children/*[2],self::superscript,name(children/*[1])="text" or (name(children/*[1])="punctuated" and children/*[1][@role="text"]),name(children/*[2])="operator" or name(children/*[2])="punctuation"'.split(","),
+'Rule,reference-number,default,[n] children/*[1]; [t] "\u2808\u283b"; [n] children/*[2]; [t] "\u2810",self::superscript,name(children/*[1])="text" or (name(children/*[1])="punctuated" and children/*[1][@role="text"]),name(children/*[2])="number",children/*[2][@role="integer"]'.split(",")],initialize:[sre.NemethUtil.generateTensorRules,sre.NemethUtil.addAnnotators]};sre.PrefixFrench={locale:"fr",modality:"prefix",domain:"default",functions:[["CSF","CSFordinalPosition",sre.NumbersUtil.ordinalPosition]],rules:['Rule,numerator,default,[t] "num\u00e9rateur"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=0'.split(","),'Rule,denominator,default,[t] "d\u00e9nominateur"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=1'.split(","),'Rule,base,default,[t] "base"; [p] (pause:200),self::*,name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor" or name(../..)="limlower" or name(../..)="limupper",count(preceding-sibling::*)=0'.split(","),
+'Rule,base-limit,default,[t] "base"; [p] (pause:200),self::*,name(../..)="limboth"'.split(","),'Rule,exponent,default,[t] "exposant"; [p] (pause:200),self::*,name(../..)="superscript",count(preceding-sibling::*)=1'.split(","),'Rule,subscript,default,[t] "indice"; [p] (pause:200),self::*,name(../..)="subscript",count(preceding-sibling::*)=1'.split(","),'Rule,overscript,default,[t] "indice suscrit"; [p] (pause:200),self::*,name(../..)="overscore" or name(../..)="limupper" or name(../..)="limboth",count(preceding-sibling::*)=1 or count(preceding-sibling::*)=2'.split(","),
+'Rule,underscript,default,[t] "indice souscrit"; [p] (pause:200),self::*,name(../..)="underscore" or name(../..)="limlower" or name(../..)="limboth",count(preceding-sibling::*)=1'.split(","),'Rule,radicand,default,[t] "radicande"; [p] (pause:200),self::*,name(../..)="sqrt"'.split(","),'Rule,radicand,default,[t] "radicande"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=1'.split(","),'Rule,index,default,[t] "indice"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=0'.split(","),
+'Rule,leftsub,default,[t] "indice inf\u00e9rieur gauche"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsub"'.split(","),'Rule,leftsub,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "indice inf\u00e9rieur gauche"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsub"'.split(","),'Rule,leftsuper,default,[t] "indice sup\u00e9rieur gauche"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsuper"'.split(","),'Rule,leftsuper,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "indice sup\u00e9rieur gauche"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsuper"'.split(","),
+'Rule,rightsub,default,[t] "indice inf\u00e9rieur droite"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsub"'.split(","),'Rule,rightsub,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "indice inf\u00e9rieur droite"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsub"'.split(","),'Rule,rightsuper,default,[t] "indice sup\u00e9rieur droite"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsuper"'.split(","),'Rule,rightsuper,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "indice sup\u00e9rieur droite"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsuper"'.split(","),
+'Rule,choice,default,[t] "nombre d\'\u00e9l\u00e9ments choisis"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=1'.split(","),'Rule,select,default,[t] "nombre d\'\u00e9l\u00e9ments disponibles"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=0'.split(","),["Rule","row","default",'[t] CSFordinalPosition (grammar:gender="female"); [t] "rang\u00e9e"; [p] (pause:200)',"self::row"],["Aliases","row","self::line"],
+'Rule{cell{default{[n] ../..; [t] CSFordinalPosition (grammar:gender="female"); [t] "colonne"; [p] (pause:200){self::cell{contains(@grammar,"depth")'.split("{"),["Rule","cell","default",'[t] CSFordinalPosition (grammar:gender="female"); [t] "colonne"; [p] (pause:200)',"self::cell"]]};sre.PrefixGerman={modality:"prefix",locale:"de",domain:"default",functions:[["CSF","CSFordinalPosition",sre.NumbersUtil.ordinalPosition]],rules:['Rule,numerator,default,[t] "Z\u00e4hler"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=0'.split(","),'Rule,denominator,default,[t] "Nenner"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=1'.split(","),'Rule,base,default,[t] "Basis"; [p] (pause:200),self::*,name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor",count(preceding-sibling::*)=0'.split(","),
+'Rule,exponent,default,[t] "Exponent"; [p] (pause:200),self::*,name(../..)="superscript",count(preceding-sibling::*)=1'.split(","),'Rule,subscript,default,[t] "Index"; [p] (pause:200),self::*,name(../..)="subscript",count(preceding-sibling::*)=1'.split(","),'Rule,overscript,default,[t] "Oberer Grenzwert"; [p] (pause:200),self::*,name(../..)="overscore",count(preceding-sibling::*)=1'.split(","),'Rule,underscript,default,[t] "Unterer Grenzwert"; [p] (pause:200),self::*,name(../..)="underscore",count(preceding-sibling::*)=1'.split(","),
+'Rule,radicand,default,[t] "Radikand"; [p] (pause:200),self::*,name(../..)="sqrt"'.split(","),'Rule,radicand,default,[t] "Radikand"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=1'.split(","),'Rule,index,default,[t] "Wurzelexponent"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=0'.split(","),'Rule,leftsub,default,[t] "linker unterer Index"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsub"'.split(","),'Rule,leftsub,default,[t] CSFordinalPosition; [t] "linker unterer Index"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsub"'.split(","),
+'Rule,leftsuper,default,[t] "linker oberer Index"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsuper"'.split(","),'Rule,leftsuper,default,[t] CSFordinalPosition; [t] "linker oberer Index"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsuper"'.split(","),'Rule,rightsub,default,[t] "rechter unterer Index"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsub"'.split(","),'Rule,rightsub,default,[t] CSFordinalPosition; [t] "rechter unterer Index"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsub"'.split(","),
+'Rule,rightsuper,default,[t] "rechter oberer Index"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsuper"'.split(","),'Rule,rightsuper,default,[t] CSFordinalPosition; [t] "rechter oberer Index"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsuper"'.split(","),'Rule,choice,default,[t] "Grundgesamtheit"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=0'.split(","),'Rule,select,default,[t] "Stichprobengr\u00f6\u00dfe"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=1'.split(","),
+["Rule","row","default",'[t] CSFordinalPosition; [t] "Zeile"; [p] (pause:200)',"self::row"],["Aliases","row","self::line"],'Rule{cell{default{[n] ../..; [t] CSFordinalPosition; [t] "Spalte"; [p] (pause:200){self::cell{contains(@grammar,"depth")'.split("{"),["Rule","cell","default",'[t] CSFordinalPosition; [t] "Spalte"; [p] (pause:200)',"self::cell"]]};sre.PrefixRules={modality:"prefix",domain:"default",functions:[["CSF","CSFordinalPosition",sre.NumbersUtil.ordinalPosition]],rules:['Rule,numerator,default,[t] "Numerator"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=0'.split(","),'Rule,denominator,default,[t] "Denominator"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=1'.split(","),'Rule,base,default,[t] "Base"; [p] (pause:200),self::*,name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor",count(preceding-sibling::*)=0'.split(","),
+'Rule,exponent,default,[t] "Exponent"; [p] (pause:200),self::*,name(../..)="superscript",count(preceding-sibling::*)=1'.split(","),'Rule,subscript,default,[t] "Subscript"; [p] (pause:200),self::*,name(../..)="subscript",count(preceding-sibling::*)=1'.split(","),'Rule,overscript,default,[t] "Overscript"; [p] (pause:200),self::*,name(../..)="overscore",count(preceding-sibling::*)=1'.split(","),'Rule,underscript,default,[t] "Underscript"; [p] (pause:200),self::*,name(../..)="underscore",count(preceding-sibling::*)=1'.split(","),
+'Rule,radicand,default,[t] "Radicand"; [p] (pause:200),self::*,name(../..)="sqrt"'.split(","),'Rule,radicand,default,[t] "Radicand"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=1'.split(","),'Rule,index,default,[t] "Index"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=0'.split(","),'Rule,leftsub,default,[t] "Left Subscript"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsub"'.split(","),'Rule,leftsub,default,[t] CSFordinalPosition; [t] "Left Subscript"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsub"'.split(","),
+'Rule,leftsuper,default,[t] "Left Superscript"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsuper"'.split(","),'Rule,leftsuper,default,[t] CSFordinalPosition; [t] "Left Superscript"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsuper"'.split(","),'Rule,rightsub,default,[t] "Right Subscript"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsub"'.split(","),'Rule,rightsub,default,[t] CSFordinalPosition; [t] "Right Subscript"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsub"'.split(","),
+'Rule,rightsuper,default,[t] "Right Superscript"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsuper"'.split(","),'Rule,rightsuper,default,[t] CSFordinalPosition; [t] "Right Superscript"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsuper"'.split(","),'Rule,choice,default,[t] "Choice Quantity"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=0'.split(","),'Rule,select,default,[t] "Selection Quantity"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=1'.split(","),
+["Rule","row","default",'[t] CSFordinalPosition; [t] "Row"; [p] (pause:200)',"self::row"],["Aliases","row","self::line"],'Rule{cell{default{[n] ../..; [t] CSFordinalPosition; [t] "Column"; [p] (pause:200){self::cell{contains(@grammar,"depth")'.split("{"),["Rule","cell","default",'[t] CSFordinalPosition; [t] "Column"; [p] (pause:200)',"self::cell"]]};sre.PrefixSpanish={locale:"es",modality:"prefix",domain:"default",functions:[["CSF","CSFordinalPosition",sre.NumbersUtil.ordinalPosition]],rules:['Rule,numerator,default,[t] "numerador"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=0'.split(","),'Rule,denominator,default,[t] "denominador"; [p] (pause:200),self::*,name(../..)="fraction",count(preceding-sibling::*)=1'.split(","),'Rule,base,default,[t] "base"; [p] (pause:200),self::*,name(../..)="superscript" or name(../..)="subscript" or name(../..)="overscore" or name(../..)="underscore" or name(../..)="tensor",count(preceding-sibling::*)=0'.split(","),
+'Rule,exponent,default,[t] "exponente"; [p] (pause:200),self::*,name(../..)="superscript",count(preceding-sibling::*)=1'.split(","),'Rule,subscript,default,[t] "sub\u00edndice"; [p] (pause:200),self::*,name(../..)="subscript",count(preceding-sibling::*)=1'.split(","),'Rule,overscript,default,[t] "sobre\u00edndice"; [p] (pause:200),self::*,name(../..)="overscore",count(preceding-sibling::*)=1'.split(","),'Rule,underscript,default,[t] "bajo\u00edndice"; [p] (pause:200),self::*,name(../..)="underscore",count(preceding-sibling::*)=1'.split(","),
+'Rule,radicand,default,[t] "radicand"; [p] (pause:200),self::*,name(../..)="sqrt"'.split(","),'Rule,radicand,default,[t] "radicand"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=1'.split(","),'Rule,index,default,[t] "\u00edndice"; [p] (pause:200),self::*,name(../..)="root",count(preceding-sibling::*)=0'.split(","),'Rule,leftsub,default,[t] "sub\u00edndice izquierdo"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsub"'.split(","),'Rule,leftsub,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "sub\u00edndice izquierdo"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsub"'.split(","),
+'Rule,leftsuper,default,[t] "super\u00edndice izquierdo"; [p] (pause:200),self::*,name(../..)="tensor",@role="leftsuper"'.split(","),'Rule,leftsuper,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "super\u00edndice izquierdo"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="leftsuper"'.split(","),'Rule,rightsub,default,[t] "sub\u00edndice derecho"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsub"'.split(","),'Rule,rightsub,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "sub\u00edndice derecho"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsub"'.split(","),
+'Rule,rightsuper,default,[t] "super\u00edndice derecho"; [p] (pause:200),self::*,name(../..)="tensor",@role="rightsuper"'.split(","),'Rule,rightsuper,default,[t] CSFordinalPosition (grammar:gender="male"); [t] "super\u00edndice derecho"; [p] (pause:200),self::*,name(../..)="punctuated",name(../../../..)="tensor",../../@role="rightsuper"'.split(","),'Rule,choice,default,[t] "cantidad de elecci\u00f3n"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=0'.split(","),
+'Rule,select,default,[t] "cantidad de selecci\u00f3n"; [p] (pause:200),self::line,@role="binomial",parent::*/parent::vector,count(preceding-sibling::*)=1'.split(","),["Rule","row","default",'[t] CSFordinalPosition (grammar:gender="female"); [t] "fila"; [p] (pause:200)',"self::row"],["Aliases","row","self::line"],'Rule{cell{default{[n] ../..; [t] CSFordinalPosition (grammar:gender="female"); [t] "columna"; [p] (pause:200){self::cell{contains(@grammar,"depth")'.split("{"),["Rule","cell","default",'[t] CSFordinalPosition (grammar:gender="female"); [t] "columna"; [p] (pause:200)',
+"self::cell"]]};sre.SemanticTreeRules={domain:"default",functions:[["CTXF","CTXFnodeCounter",sre.StoreUtil.nodeCounter],["CTXF","CTXFcontentIterator",sre.StoreUtil.contentIterator]],rules:['Rule{collapsed{default{[t] "collapsed"; [n] . (engine:modality=summary,grammar:collapsed){self::*{@alternative{not(contains(@grammar, "collapsed")){self::*{self::*{self::*{self::*{self::*'.split("{"),["Rule","stree","default","[n] ./*[1]","self::stree"],'Rule;factorial;default;[t] "factorial";self::punctuation;text()="!";name(preceding-sibling::*[1])!="text"'.split(";"),
+["Rule","multrel","default",'[t] "multirelation"; [m] children/* (sepFunc:CTXFcontentIterator)',"self::multirel"],'Rule{variable-equality{default{[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator){self::relseq[@role="equality"]{count(./children/*)>2{./children/punctuation[@role="ellipsis"]'.split("{"),'Rule{multi-equality{default{[t] "equation sequence"; [m] children/* (context:"part",ctxtFunc:CTXFnodeCounter,sepFunc:CTXFcontentIterator){self::relseq[@role="equality"]{count(./children/*)>2'.split("{"),
+'Rule,equality,default,[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2],self::relseq[@role="equality"],count(./children/*)=2'.split(","),'Rule,simple-equality,default,[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2],self::relseq[@role="equality"],count(./children/*)=2,./children/identifier or ./children/number'.split(","),'Rule,simple-equality2,default,[n] children/*[1]; [p] (pause:200); [n] content/*[1] (pause:200);[n] children/*[2],self::relseq[@role="equality"],count(./children/*)=2,./children/function or ./children/appl'.split(","),
+["Rule","relseq","default","[m] children/* (sepFunc:CTXFcontentIterator)","self::relseq"],["Rule","binary-operation","default","[m] children/* (sepFunc:CTXFcontentIterator);","self::infixop"],'Rule,variable-addition,default,[t] "sum with variable number of summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator),self::infixop[@role="addition"],count(children/*)>2,children/punctuation[@role="ellipsis"]'.split(","),'Rule,multi-addition,default,[t] "sum with"; [t] count(./children/*); [t] "summands";[p] (pause:400); [m] children/* (sepFunc:CTXFcontentIterator),self::infixop[@role="addition"],count(./children/*)>2'.split(","),
+["Rule","prefix","default",'[t] "prefix"; [m] content/* (pause 150);[n] children/*[1]',"self::prefixop"],'Rule,negative,default,[t] "negative"; [n] children/*[1],self::prefixop,self::prefixop[@role="negative"]'.split(","),["Rule","postfix","default",'[n] children/*[1]; [t] "postfix"; [m] content/* (pause 300)',"self::postfixop"],["Rule","identifier","default","[n] text()","self::identifier"],["Rule","number","default","[n] text()","self::number"],'Rule,mixed-number,default,[n] children/*[1]; [t] "and"; [n] children/*[2]; ,self::number,@role="mixed"'.split(","),
+'Rule{font{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::*{@font{not(contains(@grammar, "ignoreFont")){@font!="normal"'.split("{"),'Rule{font-identifier-short{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{not(contains(@grammar, "ignoreFont")){@font="normal"{""=translate(text(), "abcdefghijklmnopqrstuvwxyz\u03b1\u03b2\u03b3\u03b4\u03b5\u03b6\u03b7\u03b8\u03b9\u03ba\u03bb\u03bc\u03bd\u03be\u03bf\u03c0\u03c1\u03c2\u03c3\u03c4\u03c5\u03c6\u03c7\u03c8\u03c9ABCDEFGHIJKLMNOPQRSTUVWXYZ\u0391\u0392\u0393\u0394\u0395\u0396\u0397\u0398\u0399\u039a\u039b\u039c\u039d\u039e\u039f\u03a0\u03a1\u03a3\u03a3\u03a4\u03a5\u03a6\u03a7\u03a8\u03a9", ""){@role!="unit"'.split("{"),
+'Rule{font-identifier{default{[t] @font (grammar:localFont); [n] . (grammar:ignoreFont=@font){self::identifier{string-length(text())=1{@font{@font="normal"{not(contains(@grammar, "ignoreFont")){@role!="unit"'.split("{"),'Rule;omit-font;default;[n] . (grammar:ignoreFont=@font);self::identifier;string-length(text())=1;@font;not(contains(@grammar, "ignoreFont"));@font="italic"'.split(";"),["Rule","fraction","default",'[p] (pause:250); [n] children/*[1] (rate:0.35); [p] (pause:250); [t] "divided by"; [n] children/*[2] (rate:-0.35); [p] (pause:400)',
+"self::fraction"],["Rule","superscript","default",'[n] children/*[1]; [t] "super"; [n] children/*[2] (pitch:0.35);[p] (pause:300)',"self::superscript"],["Rule","subscript","default",'[n] children/*[1]; [t] "sub"; [n] children/*[2] (pitch:-0.35);[p] (pause:300)',"self::subscript"],'Rule,ellipsis,default,[p] (pause:200); [t] "ellipsis"; [p] (pause:300),self::punctuation,self::punctuation[@role="ellipsis"]'.split(","),'Rule;fence-single;default;[n] text();self::punctuation;self::punctuation[@role="openfence"]'.split(";"),
+["Aliases","fence-single","self::punctuation",'self::punctuation[@role="closefence"]'],["Aliases","fence-single","self::punctuation",'self::punctuation[@role="vbar"]'],["Aliases","fence-single","self::punctuation",'self::punctuation[@role="application"]'],["Rule","omit-empty","default","[p] (pause:100)","self::empty"],'Rule,fences-open-close,default,[p] (pause:100); [n] content/*[1]; [n] children/*[1]; [n] content/*[2]; [p] (pause:100),self::fenced,@role="leftright"'.split(","),'Rule,fences-open-close-in-appl,default,[p] (pause:200); [n] children/*[1]; [p] (pause:200);,self::fenced[@role="leftright"],./parent::children/parent::appl'.split(","),
+'Rule,fences-neutral,default,[p] (pause:100); [t] "absolute value of"; [n] children/*[1];[p] (pause:350);,self::fenced,self::fenced[@role="neutral"]'.split(","),["Rule","omit-fences","default","[p] (pause:500); [n] children/*[1]; [p] (pause:200);","self::fenced"],["Rule","matrix","default",'[t] "matrix"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100)',"self::matrix"],["Rule","matrix-row","default",'[m] children/* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)','self::row[@role="matrix"]'],
+["Rule","matrix-cell","default","[n] children/*[1]",'self::cell[@role="matrix"]'],["Rule","vector","default",'[t] "vector"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"element",pause:100)',"self::vector"],["Rule","cases","default",'[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100)',"self::cases"],["Rule","cases-row","default","[m] children/*",'self::row[@role="cases"]'],["Rule","cases-cell","default","[n] children/*[1]",'self::cell[@role="cases"]'],["Rule",
+"row","default",'[m] ./* (ctxtFunc:CTXFnodeCounter,context:"column",pause:100)',"self::row"],'Rule{cases-end{default{[t] "case statement"; [m] children/* (ctxtFunc:CTXFnodeCounter,context:"case",pause:100);[t] "end cases"{self::cases{following-sibling::*'.split("{"),["Rule","multiline","default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"line",pause:100)',"self::multiline"],'Rule{multiline-ineq{default{[t] "multiline inequality";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:100){self::multiline{@role="inequality"'.split("{"),
+["Rule","line","default","[m] children/*","self::line"],["Rule","table","default",'[t] "multiline equation";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200)',"self::table"],'Rule{table-ineq{default{[t] "multiline inequality";[m] children/* (ctxtFunc:CTXFnodeCounter,context:"row",pause:200){self::table{@role="inequality"'.split("{"),["Rule","table-row","default","[m] children/* (pause:100)",'self::row[@role="table"]'],["Aliases","cases-cell",'self::cell[@role="table"]'],'Rule;empty-cell;default;[t] "Blank";self::cell;count(children/*)=0'.split(";"),
+'Rule,end-punct,default,[m] children/*; [p] (pause:300),self::punctuated,@role="endpunct"'.split(","),'Rule,start-punct,default,[n] content/*[1]; [p] (pause:200); [m] children/*[position()>1],self::punctuated,@role="startpunct"'.split(","),'Rule,integral-punct,default,[n] children/*[1] (rate:0.2); [n] children/*[3] (rate:0.2),self::punctuated,@role="integral"'.split(","),["Rule","punctuated","default","[m] children/* (pause:100)","self::punctuated"],["Rule","function","default","[n] text()","self::function"],
+["Rule","appl","default","[n] children/*[1]; [n] content/*[1]; [n] children/*[2]","self::appl"],'Rule,sum-only,default,[n] children/*[1]; [t] "from"; [n] children/*[2]; [t] "to";[n] children/*[3],self::limboth,self::limboth[@role="sum"]'.split(","),["Rule","limboth","default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[t] "under"; [n] children/*[3]; [p] (pause 250);',"self::limboth"],["Rule","limlower","default",'[n] children/*[1]; [t] "over"; [n] children/*[2];',"self::limlower"],
+["Rule","limupper","default",'[n] children/*[1]; [t] "under"; [n] children/*[2];',"self::limupper"],["Rule","largeop","default","[n] text()","self::largeop"],["Rule","bigop","default",'[n] children/*[1]; [p] (pause 100); [t] "over"; [n] children/*[2];[p] (pause 250);',"self::bigop"],["Rule","integral","default","[n] children/*[1]; [p] (pause 100); [n] children/*[2];[p] (pause 200); [n] children/*[3] (rate:0.35);","self::integral"],["Rule","sqrt","default",'[t] "Square root of"; [n] children/*[1] (rate:0.35); [p] (pause:400)',
+"self::sqrt"],'Rule,square,default,[n] children/*[1]; [t] "squared" (pitch:0.35); [p] (pause:300),self::superscript,children/*[2][text()=2],name(./children/*[1])!="text"'.split(","),'Rule,cube,default,[n] children/*[1]; [t] "cubed" (pitch:0.35); [p] (pause:300),self::superscript,children/*[2][text()=3],name(./children/*[1])!="text"'.split(","),["Rule","root","default",'[t] "root of order"; [n] children/*[1];[t] "over"; [n] children/*[2] (rate:0.35); [p] (pause:400)',"self::root"],["Rule","text","default",
+"[n] text(); [p] (pause:200)","self::text"],'Rule;unit;default;[t] text() (grammar:annotation="unit":translate:plural);self::identifier;@role="unit"'.split(";"),'Rule,unit-square,default,[t] "square"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=2],name(children/*[1])="identifier"'.split(","),'Rule,unit-cubic,default,[t] "cubic"; [n] children/*[1],self::superscript,@role="unit",children/*[2][text()=3],name(children/*[1])="identifier"'.split(","),'Rule,reciprocal,default,[t] "reciprocal"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],count(preceding-sibling::*)=0 or preceding-sibling::*[@role!="unit"]'.split(","),
+'Rule,reciprocal,default,[t] "per"; [n] children/*[1],self::superscript,@role="unit",name(children/*[1])="identifier",name(children/*[2])="prefixop",children/*[2][@role="negative"],children/*[2]/children/*[1][text()=1],preceding-sibling::*[@role="unit"]'.split(","),'Rule;unit-combine;default;[m] children/*;self::infixop;@role="unit"'.split(";"),'Rule,unit-divide,default,[n] children/*[1] (pitch:0.3); [t] "per"; [n] children/*[2] (pitch:-0.3),self::fraction,@role="unit"'.split(",")]};sre.SummaryFrench={locale:"fr",modality:"summary",rules:[["Rule","collapsed-masculine","default.masculine",'[t] "compress\u00e9"','contains(@grammar, "collapsed")'],["Rule","collapsed-feminine","default.feminine",'[t] "compress\u00e9e"','contains(@grammar, "collapsed")'],["Rule","no-collapsed","default.masculine",'[t] ""','not(contains(@grammar, "collapsed"))'],["Rule","no-collapsed","default.feminine",'[t] ""','not(contains(@grammar, "collapsed"))'],["Rule","stree","default.default","[n] ./*[1]",
+"self::stree"],'Rule{abstr-identifier{default.default{[t] "identifiant long"; [n] . (engine:style=masculine){self::identifier{contains(@grammar, "collapsed")'.split("{"),["Rule","abstr-identifier","default.default",'[t] "identifiant"; [n] . (engine:style=masculine)',"self::identifier"],'Rule{abstr-number{default.default{[t] "nombre long"; [n] . (engine:style=masculine){self::number{contains(@grammar, "collapsed")'.split("{"),["Rule","abstr-number","default.default",'[t] "nombre"; [n] . (engine:style=masculine)',
+"self::number"],'Rule{abstr-mixed-number{default.default{[t] "nombre fractionnaire long"; [n] . (engine:style=masculine){self::number{@role="mixed"{contains(@grammar, "collapsed")'.split("{"),'Rule,abstr-mixed-number,default.default,[t] "nombre fractionnaire"; [n] . (engine:style=masculine),self::number,@role="mixed"'.split(","),["Rule","abstr-text","default.default",'[t] "texte"; [n] . (engine:style=masculine)',"self::text"],["Rule","abstr-function","default.default",'[t] "expression fonctionnelle"; [n] . (engine:style=feminine)',
+"self::function"],["Rule","abstr-function","mathspeak.brief",'[t] "fonction"; [n] . (engine:style=feminine)',"self::function"],["SpecializedRule","abstr-function","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-lim,default.default,[t] "fonction de limitation"; [n] . (engine:style=feminine),self::function,@role="limit function"'.split(","),'Rule,abstr-lim,mathspeak.brief,[t] "lim"; [n] . (engine:style=feminine),self::function,@role="limit function"'.split(","),["SpecializedRule","abstr-lim","mathspeak.brief",
+"mathspeak.sbrief"],["Rule","abstr-fraction","default.default",'[t] "fraction"; [n] . (engine:style=feminine)',"self::fraction"],["Rule","abstr-fraction","mathspeak.brief",'[t] "frac"; [n] . (engine:style=feminine)',"self::fraction"],["SpecializedRule","abstr-fraction","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-continued-fraction,default.default,[t] "fraction continue"; [n] . (engine:style=feminine),self::fraction,children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(","),'Rule,abstr-continued-fraction,mathspeak.brief,[t] "frac continue"; [n] . (engine:style=feminine),self::fraction,children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(","),
+["SpecializedRule","abstr-continued-fraction","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-sqrt","default.default",'[t] "racine carr\u00e9e"; [n] . (engine:style=feminine)',"self::sqrt"],'Rule,abstr-sqrt-nested,default.default,[t] "racine carr\u00e9e imbriqu\u00e9e"; [n] . (engine:style=feminine),self::sqrt,children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(","),'Rule{abstr-root{default.default{[t] "racine d\'indice"; [n] children/*[1] (engine:modality="speech"); [t] "fin indice"; [n] . (engine:style=feminine);{self::root{contains(@grammar, "collapsed"){following-sibling::* or ancestor::*/following-sibling::*'.split("{"),
+["Rule","abstr-root","default.default",'[t] "racine d\'indice"; [n] children/*[1] (engine:modality=speech); [n] . (engine:style=feminine)',"self::root"],["Rule","abstr-root","mathspeak.brief",'[t] "racine"; [n] . (engine:style=feminine)',"self::root"],["SpecializedRule","abstr-root","mathspeak.brief","mathspeak.sbrief"],'Rule{abstr-root-nested{default.default{[t] "racine imbriqu\u00e9e d\'indice"; [n] children/*[1] (engine:modality=speech); [t] "fin indice"; [n] . (engine:style=feminine);{self::root{contains(@grammar, "collapsed"){children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root{following-sibling::* or ancestor::*/following-sibling::*'.split("{"),
+'Rule,abstr-root-nested,default.default,[t] "racine imbriqu\u00e9e d\'indice"; [n] children/*[1] (engine:modality=speech); [n] . (engine:style=feminine),self::root,children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(","),'Rule,abstr-root-nested,mathspeak.brief,[t] "racine imbriqu\u00e9e"; [n] . (engine:style=feminine),self::root,children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(","),["SpecializedRule","abstr-root-nested","mathspeak.brief",
+"mathspeak.sbrief"],["Rule","abstr-superscript","default.default",'[t] "puissance"; [n] . (engine:style=feminine)',"self::superscript"],["Rule","abstr-subscript","default.default",'[t] "indice"; [n] . (engine:style=masculine)',"self::subscript"],'Rule,abstr-subsup,default.default,[t] "puissance avec index"; [n] . (engine:style=feminine),self::superscript,name(children/*[1])="subscript"'.split(","),["Rule","abstr-infixop","default.default",'[t] @role (grammar:localRole); [t] "avec"; [t] count(./children/*); [t] "\u00e9l\u00e9ments"; [n] . (engine:style=masculine)',
+"self::infixop"],'Rule,abstr-infixop,default.default,[t] @role (grammar:localRole); [t] "avec un nombre d\'\u00e9l\u00e9ments variable"; [n] . (engine:style=masculine),self::infixop,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),["Rule","abstr-infixop","mathspeak.brief","[t] @role (grammar:localRole); [n] . (engine:style=masculine)","self::infixop"],["SpecializedRule","abstr-infixop","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-addition,default.default,[t] "somme avec"; [t] count(./children/*); [t] "op\u00e9randes"; [n] . (engine:style=feminine),self::infixop,@role="addition"'.split(","),
+'Rule,abstr-addition,mathspeak.brief,[t] "somme"; [n] . (engine:style=feminine),self::infixop,@role="addition"'.split(","),["SpecializedRule","abstr-addition","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-addition,default.default,[t] "somme avec un nombre variable d\'op\u00e9randes"; [n] . (engine:style=feminine),self::infixop,@role="addition",count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),'Rule,abstr-multiplication,default.default,[t] "produit avec"; [t] count(./children/*); [t] "facteurs"; [n] . (engine:style=masculine);,self::infixop,@role="multiplication"'.split(","),
+'Rule,abstr-multiplication,mathspeak.brief,[t] "produit"; [n] . (engine:style=masculine),self::infixop,@role="multiplication"'.split(","),["SpecializedRule","abstr-multiplication","mathspeak.brief","mathspeak.sbrief"],["Aliases","abstr-multiplication","self::infixop",'@role="implicit"'],'Rule,abstr-var-multiplication,default.default,[t] "produit avec un nombre de facteurs variable"; [n] . (engine:style=masculine),self::infixop,@role="multiplication",count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),
+'Aliases abstr-var-multiplication self::infixop @role="implicit" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),["Rule","abstr-vector","default.default",'[t] "vecteur de dimension"; [t] count(./children/*); [n] . (engine:style=masculine)',"self::vector"],["Rule","abstr-vector","mathspeak.brief",'[t] "vecteur"; [n] . (engine:style=masculine)',"self::vector"],["SpecializedRule","abstr-vector","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-vector,default.default,[t] "vecteur colonne de dimension n"; [n] . (engine:style=masculine),self::vector,./children/*/children/punctuation[@role="ellipsis"]'.split(","),
+'Rule,abstr-binomial,default.default,[t] "binomial"; [n] . (engine:style=masculine),self::vector,@role="binomial"'.split(","),["SpecializedRule","abstr-binomial","default.default","mathspeak.brief"],["SpecializedRule","abstr-binomial","default.default","mathspeak.sbrief"],'Rule,abstr-determinant,default.default,[t] "d\u00e9terminant de dimension"; [t] count(./children/*); [n] . (engine:style=masculine),self::matrix,@role="determinant"'.split(","),'Rule,abstr-determinant,mathspeak.brief,[t] "d\u00e9terminant"; [n] . (engine:style=masculine),self::matrix,@role="determinant"'.split(","),
+["SpecializedRule","abstr-determinant","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-determinant,default.default,[t] "d\u00e9terminant de dimension n"; [n] . (engine:style=masculine),self::matrix,@role="determinant",./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(","),'Rule,abstr-squarematrix,default.default,[t] "matrice carr\u00e9e de dimension"; [t] count(./children/*); [n] . (engine:style=feminine),self::matrix,@role="squarematrix"'.split(","),'Rule,abstr-squarematrix,mathspeak.brief,[t] "matrice carr\u00e9e"; [n] . (engine:style=feminine),self::matrix,@role="squarematrix"'.split(","),
+["SpecializedRule","abstr-squarematrix","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-rowvector,default.default,[t] "vecteur ligne de dimension"; [t] count(./children/row/children/*); [n] . (engine:style=masculine),self::matrix,@role="rowvector"'.split(","),'Rule,abstr-rowvector,mathspeak.brief,[t] "vecteur ligne"; [n] . (engine:style=masculine),self::matrix,@role="rowvector"'.split(","),["SpecializedRule","abstr-rowvector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "vecteur ligne de dimension n";self::matrix;@role="rowvector";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+["Rule","abstr-matrix","default.default",'[t] "matrice"; [t] count(children/*);  [t] "par";[t] count(children/*[1]/children/*); [n] . (engine:style=feminine)',"self::matrix"],["Rule","abstr-matrix","mathspeak.brief",'[t] "matrice"; [n] . (engine:style=feminine)',"self::matrix"],["SpecializedRule","abstr-matrix","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-matrix,default.default,[t] "matrice de dimension n par m"; [n] . (engine:style=feminine),self::matrix,./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(","),
+["Rule","abstr-cases","default.default",'[t] "d\u00e9claration de cas";[t] "avec"; [t] count(children/*); [t] "cas"; [n] . (engine:style=feminine)',"self::cases"],["Rule","abstr-cases","mathspeak.brief",'[t] "d\u00e9claration de cas"; [n] . (engine:style=feminine)',"self::cases"],["SpecializedRule","abstr-cases","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-cases,default.default,[t] "d\u00e9claration de cas variable"; [n] . (engine:style=feminine),self::cases,./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]'.split(","),
+["Rule","abstr-punctuated","default.default",'[t] "liste de longueur"; [t] count(children/*) - count(content/*); [t] "s\u00e9par\u00e9e par des"; [n] content/*[1] (join:""); [t] "s"; [n] . (engine:style=feminine)',"self::punctuated"],["Rule","abstr-punctuated","mathspeak.brief",'[t] "liste s\u00e9par\u00e9e par des"; [n] content/*[1] (join:""); [t] "s"; [n] . (engine:style=feminine)',"self::punctuated"],["SpecializedRule","abstr-punctuated","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-punctuated,default.default,[t] "liste de longueur variable s\u00e9par\u00e9e par des"; [n] content/*[1] (join:""); [t] "s"; [n] . (engine:style=feminine),self::punctuated,./children/punctuation[@role="ellipsis"]'.split(","),
+["Rule","abstr-bigop","default.default","[n] content/*[1]; [n] . (engine:style=masculine)","self::bigop"],["Rule","abstr-integral","default.default",'[t] "int\u00e9grale"; [n] . (engine:style=feminine)','@role="integral"'],"Rule,abstr-relation,default.default,[t] @role (grammar:localRole); [n] . (engine:style=masculine);,self::relseq,count(./children/*)=2".split(","),'Rule,abstr-relation-seq,default.default,[t] @role (grammar:localRole); [t] "s\u00e9quence"; [t] "avec"; [t] count(./children/*); [t] "\u00e9l\u00e9ments"; [n] . (engine:style=feminine),self::relseq,count(./children/*)>2'.split(","),
+'Rule,abstr-relation-seq,mathspeak.brief,[t] @role (grammar:localRole); [t] "s\u00e9quence"; [n] . (engine:style=feminine),self::relseq,count(./children/*)>2'.split(","),["SpecializedRule","abstr-relation-seq","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-relation,default.default,[t] @role (grammar:localRole); [t] "s\u00e9quence"; [t] "avec un nombre de \u00e9l\u00e9ments variable"; [n] . (engine:style=feminine),self::relseq,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),
+'UniqueAlias abstr-relation default.default self::multirel @role!="unknown" count(./children/*)>2'.split(" "),'Aliases abstr-var-relation self::multirel @role!="unknown" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),'Rule,abstr-multirel,default.default,[t] "s\u00e9quence de relation"; [t] "avec"; [t] count(./children/*); [t] "\u00e9l\u00e9ments"; [n] . (engine:style=feminine),self::multirel,count(./children/*)>2'.split(","),'Rule,abstr-multirel,mathspeak.brief,[t] "s\u00e9quence de relation"; [n] . (engine:style=feminine),self::multirel,count(./children/*)>2'.split(","),
+["SpecializedRule","abstr-multirel","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-multirel,default.default,[t] "s\u00e9quence de relation avec un nombre de \u00e9l\u00e9ments variable"; [n] . (engine:style=feminine),self::multirel,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),["Rule","abstr-table","default.default",'[t] "table avec"; [t] count(children/*); [t] "lignes et";[t] count(children/*[1]/children/*); [t] "colonnes"; [n] . (engine:style=feminine);',"self::table"],
+["Rule","abstr-line","default.default",'[t] "dans"; [t] @role (grammar:localRole); [n] . (engine:style=masculine)',"self::line"],["Rule","abstr-row","default.default",'[t] "dans"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "avec";[t] count(children/*); [t] "colonnes"; [n] . (engine:style=feminine)',"self::row"],["Rule","abstr-cell","default.default",'[t] "dans"; [t] @role (grammar:localRole); [n] . (engine:style=feminine);',"self::cell"]]};sre.SummaryGerman={modality:"summary",locale:"de",rules:['Rule;abstr-identifier;default.default;[t] "langer Bezeichner";self::identifier;contains(@grammar, "collapsed")'.split(";"),["Rule","abstr-identifier","default.default",'[t] "Bezeichner"',"self::identifier"],'Rule;abstr-number;default.default;[t] "lange Zahl";self::number;contains(@grammar, "collapsed")'.split(";"),["Rule","abstr-number","default.default",'[t] "Zahl"',"self::number"],'Rule;abstr-mixed-number;default.default;[t] "langer gemischter Bruch";self::number;@role="mixed";contains(@grammar, "collapsed")'.split(";"),
+'Rule;abstr-mixed-number;default.default;[t] "gemischter Bruch";self::number;@role="mixed"'.split(";"),["Rule","abstr-text","default.default",'[t] "Text"',"self::text"],["Rule","abstr-function","default.default",'[t] "Funktionsausdruck"',"self::function"],["Rule","abstr-function","mathspeak.brief",'[t] "Funktion"',"self::function"],["SpecializedRule","abstr-function","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-lim;default.default;[t] "Grenzwertfunktion";self::function;@role="limit function"'.split(";"),
+'Rule;abstr-lim;mathspeak.brief;[t] "Grenzwert";self::function;@role="limit function"'.split(";"),["SpecializedRule","abstr-lim","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-fraction","default.default",'[t] "Bruch"',"self::fraction"],'Rule;abstr-continued-fraction;default.default;[t] "Kettenbruch";self::fraction;children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(";"),["Rule","abstr-sqrt","default.default",'[t] "Quadratwurzel"',"self::sqrt"],'Rule;abstr-sqrt-nested;default.default;[t] "verschachtelte Quadratwurzel";self::sqrt;children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(";"),
+'Rule{abstr-root{default.default{[t] "Wurzel mit Exponent"; [n] children/*[1] (engine:modality=speech); [t] "Exponentende"{self::root{contains(@grammar, "collapsed"){following-sibling::* or ancestor::*/following-sibling::*'.split("{"),["Rule","abstr-root","default.default",'[t] "Wurzel mit Exponent"; [n] children/*[1] (engine:modality=speech)',"self::root"],["Rule","abstr-root","mathspeak.brief",'[t] "Wurzel"',"self::root"],["SpecializedRule","abstr-root","mathspeak.brief","mathspeak.sbrief"],'Rule{abstr-root-nested{default.default{[t] "verschachtelte Wurzel mit Wurzelexponent"; [n] children/*[1] (engine:modality="speech"); [t] "Ende Wurzelexponent"{self::root{contains(@grammar, "collapsed"){children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root{following-sibling::* or ancestor::*/following-sibling::*'.split("{"),
+'Rule,abstr-root-nested,default.default,[t] "verschachtelte Wurzel mit Exponent"; [n] children/*[1] (engine:modality="speech"),self::root,children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(","),'Rule;abstr-root-nested;mathspeak.brief;[t] "verschachtelte Wurzel";self::root;children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(";"),["SpecializedRule","abstr-root-nested","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-superscript","default.default",
+'[t] "Potenz"',"self::superscript"],["Rule","abstr-subscript","default.default",'[t] "Index"',"self::subscript"],'Rule;abstr-subsup;default.default;[t] "Potenz mit Index";self::superscript;name(children/*[1])="subscript"'.split(";"),["Rule","abstr-infixop","default.default",'[t] @role (grammar:localRole); [t] "mit"; [t] count(./children/*); [t] "Elementen"',"self::infixop"],'Rule,abstr-infixop,default.default,[t] @role (grammar:localRole); [t] "mit ver\u00e4nderlicher Anzahl an Elementen",self::infixop,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),
+["Rule","abstr-infixop","mathspeak.brief","[t] @role (grammar:localRole)","self::infixop"],["SpecializedRule","abstr-infixop","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-addition,default.default,[t] "Summe mit"; [t] count(./children/*); [t] "Summanden",self::infixop,@role="addition"'.split(","),'Rule;abstr-addition;mathspeak.brief;[t] "Summe";self::infixop;@role="addition"'.split(";"),["SpecializedRule","abstr-addition","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-addition;default.default;[t] "Summe mit ver\u00e4nderlicher Anzahl an Summanden";self::infixop;@role="addition";count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+'Rule,abstr-multiplication,default.default,[t] "Produkt mit"; [t] count(./children/*); [t] "Faktoren",self::infixop,@role="multiplication"'.split(","),'Rule;abstr-multiplication;mathspeak.brief;[t] "Produkt";self::infixop;@role="multiplication"'.split(";"),["SpecializedRule","abstr-multiplication","mathspeak.brief","mathspeak.sbrief"],["Aliases","abstr-multiplication","self::infixop",'@role="implicit"'],'Rule;abstr-var-multiplication;default.default;[t] "Produkt mit ver\u00e4nderlicher Anzahl an Faktoren";self::infixop;@role="multiplication";count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+'Aliases abstr-var-multiplication self::infixop @role="implicit" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),["Rule","abstr-vector","default.default",'[t] count(./children/*) ; [t] "dimensionaler Vektor"',"self::vector"],["Rule","abstr-vector","mathspeak.brief",'[t] "Vektor"',"self::vector"],["SpecializedRule","abstr-vector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-vector;default.default;[t] "n dimensionaler Vektor";self::vector;./children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+'Rule;abstr-binomial;default.default;[t] "Binomialkoeffizient";self::vector;@role="binomial"'.split(";"),["SpecializedRule","abstr-binomial","default.default","mathspeak.brief"],["SpecializedRule","abstr-binomial","default.default","mathspeak.sbrief"],'Rule,abstr-determinant,default.default,[t] count(./children/*); [t] "dimensionale Determinante",self::matrix,@role="determinant"'.split(","),'Rule;abstr-determinant;mathspeak.brief;[t] "Determinante";self::matrix;@role="determinant"'.split(";"),["SpecializedRule",
+"abstr-determinant","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-determinant;default.default;[t] "n dimensionale Determinante";self::matrix;@role="determinant";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),'Rule,abstr-squarematrix,default.default,[t] count(./children/*); [t] "dimensionale quadratische Matrize",self::matrix,@role="squarematrix"'.split(","),'Rule;abstr-squarematrix;mathspeak.brief;[t] "quadratische Matrize";self::matrix;@role="squarematrix"'.split(";"),
+["SpecializedRule","abstr-squarematrix","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-rowvector,default.default,[t] count(./children/row/children/*); [t] "dimensionaler Zeilenvektor",self::matrix,@role="rowvector"'.split(","),'Rule;abstr-rowvector;mathspeak.brief;[t] "Zeilenvektor";self::matrix;@role="rowvector"'.split(";"),["SpecializedRule","abstr-rowvector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "n dimensionaler Zeilenvektor";self::matrix;@role="rowvector";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+["Rule","abstr-matrix","default.default",'[t] count(children/*);  [t] "mal";[t] count(children/*[1]/children/*); [t] "Matrize"',"self::matrix"],["Rule","abstr-matrix","mathspeak.brief",'[t] "Matrize"',"self::matrix"],["SpecializedRule","abstr-matrix","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "n mal m dimensionale Matrize";self::matrix;./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-cases","default.default",'[t] "Fallunterscheidung";[t] "mit"; [t] count(children/*); [t] "F\u00e4llen"',
+"self::cases"],["Rule","abstr-cases","mathspeak.brief",'[t] "Fallunterscheidung"',"self::cases"],["SpecializedRule","abstr-cases","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-cases;default.default;[t] "Fallunterscheidung mit ver\u00e4nderlicher Anzahl an F\u00e4llen";self::cases;./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-punctuated","default.default",'[t] "mit"; [n] content/*[1]; [t] "getrennte Liste der L\u00e4nge"; [t] count(children/*) - count(content/*)',
+"self::punctuated"],["Rule","abstr-punctuated","mathspeak.brief",'[t] "mit"; [n] content/*[1]; [t] "getrennte Liste";',"self::punctuated"],["SpecializedRule","abstr-punctuated","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-punctuated,default.default,[t] "mit"; [n] content/*[1]; [t] "getrennte Liste";[t] "ver\u00e4nderlicher L\u00e4nge",self::punctuated,./children/punctuation[@role="ellipsis"]'.split(","),["Rule","abstr-bigop","default.default","[n] content/*[1]","self::bigop"],["Rule","abstr-integral",
+"default.default",'[t] "Integral"','@role="integral"'],"Rule,abstr-relation,default.default,[t] @role (grammar:localRole);,self::relseq,count(./children/*)=2".split(","),'Rule{abstr-relation-seq{default.default{[t] @role (grammar:localRole, join:""); [t] "ssequenz"; [t] "mit"; [t] count(./children/*); [t] "Elementen"{self::relseq{count(./children/*)>2'.split("{"),'Rule{abstr-relation-seq{mathspeak.brief{[t] @role (grammar:localRole, join:""); [t] "ssequenz"{self::relseq{count(./children/*)>2'.split("{"),
+["SpecializedRule","abstr-relation-seq","mathspeak.brief","mathspeak.sbrief"],'Rule{abstr-var-relation{default.default{[t] @role (grammar:localRole, join:""); [t] "ssequenz";[t] "mit ver\u00e4nderlicher Anzahl an Elementen"{self::relseq{count(./children/*)>2{./children/punctuation[@role="ellipsis"]'.split("{"),'UniqueAlias abstr-relation default.default self::multirel @role!="unknown" count(./children/*)>2'.split(" "),'Aliases abstr-var-relation self::multirel @role!="unknown" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),
+'Rule,abstr-multirel,default.default,[t] "Relationsequenz"; [t] "mit"; [t] count(./children/*); [t] "Elementen",self::multirel,count(./children/*)>2'.split(","),'Rule;abstr-multirel;mathspeak.brief;[t] "Relationsequenz";self::multirel;count(./children/*)>2'.split(";"),["SpecializedRule","abstr-multirel","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-multirel;default.default;[t] "Relationsequenz mit ver\u00e4nderlicher Anzahl an Elementen";self::multirel;count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+["Rule","abstr-table","default.default",'[t] "Tabelle mit"; [t] count(children/*); [t] "Zeilen und";[t] count(children/*[1]/children/*); [t] "Spalten"',"self::table"],["Rule","abstr-line","default.default",'[t] "in"; [t] @role (grammar:localRole);',"self::line"],["Rule","abstr-row","default.default",'[t] "in"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "mit";[t] count(children/*); [t] "Spalten"',"self::row"],["Rule","abstr-cell","default.default",'[t] "in"; [t] @role (grammar:localRole);',
+"self::cell"]]};sre.SummaryRules={modality:"summary",rules:['Rule;abstr-identifier;default.default;[t] "long identifier";self::identifier;contains(@grammar, "collapsed")'.split(";"),["Rule","abstr-identifier","default.default",'[t] "identifier"',"self::identifier"],'Rule;abstr-number;default.default;[t] "long number";self::number;contains(@grammar, "collapsed")'.split(";"),["Rule","abstr-number","default.default",'[t] "number"',"self::number"],'Rule;abstr-mixed-number;default.default;[t] "long mixed number";self::number;@role="mixed";contains(@grammar, "collapsed")'.split(";"),
+'Rule;abstr-mixed-number;default.default;[t] "mixed number";self::number;@role="mixed"'.split(";"),["Rule","abstr-text","default.default",'[t] "text"',"self::text"],["Rule","abstr-function","default.default",'[t] "functional expression"',"self::function"],["Rule","abstr-function","mathspeak.brief",'[t] "function"',"self::function"],["SpecializedRule","abstr-function","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-lim;default.default;[t] "limit function";self::function;@role="limit function"'.split(";"),
+'Rule;abstr-lim;mathspeak.brief;[t] "lim";self::function;@role="limit function"'.split(";"),["SpecializedRule","abstr-lim","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-fraction","default.default",'[t] "fraction"',"self::fraction"],["Rule","abstr-fraction","mathspeak.brief",'[t] "frac"',"self::fraction"],["SpecializedRule","abstr-fraction","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-continued-fraction;default.default;[t] "continued fraction";self::fraction;children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(";"),
+'Rule;abstr-continued-fraction;mathspeak.brief;[t] "continued frac";self::fraction;children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(";"),["SpecializedRule","abstr-continued-fraction","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-sqrt","default.default",'[t] "square root"',"self::sqrt"],'Rule;abstr-sqrt-nested;default.default;[t] "nested square root";self::sqrt;children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(";"),'Rule{abstr-root{default.default{[t] "root of index"; [n] children/*[1] (engine:modality="speech"); [t] "endindex"{self::root{contains(@grammar, "collapsed"){following-sibling::* or ancestor::*/following-sibling::*'.split("{"),
+["Rule","abstr-root","default.default",'[t] "root of index"; [n] children/*[1] (engine:modality=speech)',"self::root"],["Rule","abstr-root","mathspeak.brief",'[t] "root"',"self::root"],["SpecializedRule","abstr-root","mathspeak.brief","mathspeak.sbrief"],'Rule{abstr-root-nested{default.default{[t] "nested root of index"; [n] children/*[1] (engine:modality="speech"); [t] "endindex"{self::root{contains(@grammar, "collapsed"){children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root{following-sibling::* or ancestor::*/following-sibling::*'.split("{"),
+'Rule,abstr-root-nested,default.default,[t] "nested root of index"; [n] children/*[1] (engine:modality="speech"),self::root,children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(","),'Rule;abstr-root-nested;mathspeak.brief;[t] "nested root";self::root;children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(";"),["SpecializedRule","abstr-root-nested","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-superscript","default.default",'[t] "power"',
+"self::superscript"],["Rule","abstr-subscript","default.default",'[t] "subscript"',"self::subscript"],'Rule;abstr-subsup;default.default;[t] "power with subscript";self::superscript;name(children/*[1])="subscript"'.split(";"),["Rule","abstr-infixop","default.default",'[t] @role (grammar:localRole); [t] "with"; [t] count(./children/*); [t] "elements"',"self::infixop"],'Rule,abstr-infixop,default.default,[t] @role (grammar:localRole); [t] "with variable number of elements",self::infixop,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),
+["Rule","abstr-infixop","mathspeak.brief","[t] @role (grammar:localRole)","self::infixop"],["SpecializedRule","abstr-infixop","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-addition,default.default,[t] "sum with"; [t] count(./children/*); [t] "summands",self::infixop,@role="addition"'.split(","),'Rule;abstr-addition;mathspeak.brief;[t] "sum";self::infixop;@role="addition"'.split(";"),["SpecializedRule","abstr-addition","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-addition;default.default;[t] "sum with variable number of summands";self::infixop;@role="addition";count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+'Rule,abstr-multiplication,default.default,[t] "product with"; [t] count(./children/*); [t] "factors",self::infixop,@role="multiplication"'.split(","),'Rule;abstr-multiplication;mathspeak.brief;[t] "product";self::infixop;@role="multiplication"'.split(";"),["SpecializedRule","abstr-multiplication","mathspeak.brief","mathspeak.sbrief"],["Aliases","abstr-multiplication","self::infixop",'@role="implicit"'],'Rule;abstr-var-multiplication;default.default;[t] "product with variable number of factors";self::infixop;@role="multiplication";count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+'Aliases abstr-var-multiplication self::infixop @role="implicit" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),["Rule","abstr-vector","default.default",'[t] count(./children/*) ; [t] "dimensional vector"',"self::vector"],["Rule","abstr-vector","mathspeak.brief",'[t] "vector"',"self::vector"],["SpecializedRule","abstr-vector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-vector;default.default;[t] "n dimensional vector";self::vector;./children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+'Rule;abstr-binomial;default.default;[t] "binomial";self::vector;@role="binomial"'.split(";"),["SpecializedRule","abstr-binomial","default.default","mathspeak.brief"],["SpecializedRule","abstr-binomial","default.default","mathspeak.sbrief"],'Rule,abstr-determinant,default.default,[t] count(./children/*); [t] "dimensional determinant",self::matrix,@role="determinant"'.split(","),'Rule;abstr-determinant;mathspeak.brief;[t] "determinant";self::matrix;@role="determinant"'.split(";"),["SpecializedRule",
+"abstr-determinant","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-determinant;default.default;[t] "n dimensional determinant";self::matrix;@role="determinant";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),'Rule,abstr-squarematrix,default.default,[t] count(./children/*); [t] "dimensional square matrix",self::matrix,@role="squarematrix"'.split(","),'Rule;abstr-squarematrix;mathspeak.brief;[t] "square matrix";self::matrix;@role="squarematrix"'.split(";"),["SpecializedRule",
+"abstr-squarematrix","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-rowvector,default.default,[t] count(./children/row/children/*); [t] "dimensional row vector",self::matrix,@role="rowvector"'.split(","),'Rule;abstr-rowvector;mathspeak.brief;[t] "row vector";self::matrix;@role="rowvector"'.split(";"),["SpecializedRule","abstr-rowvector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "n dimensional row vector";self::matrix;@role="rowvector";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+["Rule","abstr-matrix","default.default",'[t] count(children/*);  [t] "by";[t] count(children/*[1]/children/*); [t] "matrix"',"self::matrix"],["Rule","abstr-matrix","mathspeak.brief",'[t] "matrix"',"self::matrix"],["SpecializedRule","abstr-matrix","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "n by m dimensional matrix";self::matrix;./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-cases","default.default",'[t] "case statement";[t] "with"; [t] count(children/*); [t] "cases"',
+"self::cases"],["Rule","abstr-cases","mathspeak.brief",'[t] "case statement"',"self::cases"],["SpecializedRule","abstr-cases","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-cases;default.default;[t] "case statement with variable number of cases";self::cases;./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-punctuated","default.default",'[n] content/*[1]; [t] "separated list"; [t] "of length"; [t] count(children/*) - count(content/*)',
+"self::punctuated"],["Rule","abstr-punctuated","mathspeak.brief",'[n] content/*[1]; [t] "separated list"',"self::punctuated"],["SpecializedRule","abstr-punctuated","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-punctuated,default.default,[n] content/*[1]; [t] "separated list";[t] "of variable length",self::punctuated,./children/punctuation[@role="ellipsis"]'.split(","),["Rule","abstr-bigop","default.default","[n] content/*[1]","self::bigop"],["Rule","abstr-integral","default.default",'[t] "integral"',
+'@role="integral"'],"Rule,abstr-relation,default.default,[t] @role (grammar:localRole);,self::relseq,count(./children/*)=2".split(","),'Rule,abstr-relation-seq,default.default,[t] @role (grammar:localRole); [t] "sequence"; [t] "with"; [t] count(./children/*); [t] "elements",self::relseq,count(./children/*)>2'.split(","),'Rule,abstr-relation-seq,mathspeak.brief,[t] @role (grammar:localRole); [t] "sequence",self::relseq,count(./children/*)>2'.split(","),["SpecializedRule","abstr-relation-seq","mathspeak.brief",
+"mathspeak.sbrief"],'Rule,abstr-var-relation,default.default,[t] @role (grammar:localRole); [t] "sequence"; [t] "with variable number of elements",self::relseq,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),'UniqueAlias abstr-relation default.default self::multirel @role!="unknown" count(./children/*)>2'.split(" "),'Aliases abstr-var-relation self::multirel @role!="unknown" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),'Rule,abstr-multirel,default.default,[t] "relation sequence"; [t] "with"; [t] count(./children/*); [t] "elements",self::multirel,count(./children/*)>2'.split(","),
+'Rule;abstr-multirel;mathspeak.brief;[t] "relation sequence";self::multirel;count(./children/*)>2'.split(";"),["SpecializedRule","abstr-multirel","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-multirel;default.default;[t] "relation sequence with variable number of elements";self::multirel;count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-table","default.default",'[t] "table with"; [t] count(children/*); [t] "rows and";[t] count(children/*[1]/children/*); [t] "columns"',
+"self::table"],["Rule","abstr-line","default.default",'[t] "in"; [t] @role (grammar:localRole);',"self::line"],["Rule","abstr-row","default.default",'[t] "in"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "with";[t] count(children/*); [t] "columns"',"self::row"],["Rule","abstr-cell","default.default",'[t] "in"; [t] @role (grammar:localRole);',"self::cell"]]};sre.SummarySpanish={locale:"es",modality:"summary",rules:[["Rule","stree","default.default","[n] ./*[1]","self::stree"],'Rule;abstr-identifier;default.default;[t] "identificador largo";self::identifier;contains(@grammar, "collapsed")'.split(";"),["Rule","abstr-identifier","default.default",'[t] "identificador"',"self::identifier"],'Rule;abstr-number;default.default;[t] "n\u00famero largo";self::number;contains(@grammar, "collapsed")'.split(";"),["Rule","abstr-number","default.default",'[t] "n\u00famero"',
+"self::number"],'Rule;abstr-mixed-number;default.default;[t] "n\u00famero largo mixto";self::number;@role="mixed";contains(@grammar, "collapsed")'.split(";"),'Rule;abstr-mixed-number;default.default;[t] "n\u00famero mixto";self::number;@role="mixed"'.split(";"),["Rule","abstr-text","default.default",'[t] "texto"',"self::text"],["Rule","abstr-function","default.default",'[t] "expresi\u00f3n funcional"',"self::function"],["Rule","abstr-function","mathspeak.brief",'[t] "funci\u00f3n"',"self::function"],
+["SpecializedRule","abstr-function","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-lim;default.default;[t] "funci\u00f3n de l\u00edmite";self::function;@role="limit function"'.split(";"),'Rule;abstr-lim;mathspeak.brief;[t] "l\u00edmite";self::function;@role="limit function"'.split(";"),["SpecializedRule","abstr-lim","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-fraction","default.default",'[t] "fracci\u00f3n"',"self::fraction"],["Rule","abstr-fraction","mathspeak.brief",'[t] "frac"',"self::fraction"],
+["SpecializedRule","abstr-fraction","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-continued-fraction;default.default;[t] "fracci\u00f3n continua";self::fraction;children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(";"),'Rule;abstr-continued-fraction;mathspeak.brief;[t] "frac continua";self::fraction;children/*[2]/descendant-or-self::*[@role="ellipsis"]'.split(";"),["SpecializedRule","abstr-continued-fraction","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-sqrt","default.default",
+'[t] "ra\u00edz cuadrada"',"self::sqrt"],'Rule;abstr-sqrt-nested;default.default;[t] "ra\u00edz cuadrada anidada";self::sqrt;children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(";"),'Rule{abstr-root{default.default{[t] "ra\u00edz del \u00edndice"; [n] children/*[1] (engine:modality="speech"); [t] "finalizar de \u00edndice"{self::root{contains(@grammar, "collapsed"){following-sibling::* or ancestor::*/following-sibling::*'.split("{"),["Rule","abstr-root","default.default",
+'[t] "ra\u00edz del \u00edndice"; [n] children/*[1] (engine:modality=speech)',"self::root"],["Rule","abstr-root","mathspeak.brief",'[t] "ra\u00edz"',"self::root"],["SpecializedRule","abstr-root","mathspeak.brief","mathspeak.sbrief"],'Rule{abstr-root-nested{default.default{[t] "ra\u00edz anidada del \u00edndice"; [n] children/*[1] (engine:modality="speech"); [t] "finalizar de \u00edndice"{self::root{contains(@grammar, "collapsed"){children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root{following-sibling::* or ancestor::*/following-sibling::*'.split("{"),
+'Rule,abstr-root-nested,default.default,[t] "ra\u00edz anidada del \u00edndice"; [n] children/*[1] (engine:modality="speech"),self::root,children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(","),'Rule;abstr-root-nested;mathspeak.brief;[t] "ra\u00edz anidada";self::root;children/*/descendant-or-self::sqrt or children/*/descendant-or-self::root'.split(";"),["SpecializedRule","abstr-root-nested","mathspeak.brief","mathspeak.sbrief"],["Rule","abstr-superscript","default.default",
+'[t] "potencia"',"self::superscript"],["Rule","abstr-subscript","default.default",'[t] "sub\u00edndice"',"self::subscript"],'Rule;abstr-subsup;default.default;[t] "potencia con sub\u00edndice";self::superscript;name(children/*[1])="subscript"'.split(";"),["Rule","abstr-infixop","default.default",'[t] @role (grammar:localRole); [t] "con"; [t] count(./children/*); [t] "elementos"',"self::infixop"],'Rule,abstr-infixop,default.default,[t] @role (grammar:localRole); [t] "con una cantidad variable de elementos",self::infixop,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),
+["Rule","abstr-infixop","mathspeak.brief","[t] @role (grammar:localRole)","self::infixop"],["SpecializedRule","abstr-infixop","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-addition,default.default,[t] "suma con"; [t] count(./children/*); [t] "sumandos",self::infixop,@role="addition"'.split(","),'Rule;abstr-addition;mathspeak.brief;[t] "suma";self::infixop;@role="addition"'.split(";"),["SpecializedRule","abstr-addition","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-addition;default.default;[t] "suma con n\u00famero variable de sumandos";self::infixop;@role="addition";count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+'Rule,abstr-multiplication,default.default,[t] "producto con"; [t] count(./children/*); [t] "factores",self::infixop,@role="multiplication"'.split(","),'Rule;abstr-multiplication;mathspeak.brief;[t] "producto";self::infixop;@role="multiplication"'.split(";"),["SpecializedRule","abstr-multiplication","mathspeak.brief","mathspeak.sbrief"],["Aliases","abstr-multiplication","self::infixop",'@role="implicit"'],'Rule;abstr-var-multiplication;default.default;[t] "producto con una cantidad variable de factores";self::infixop;@role="multiplication";count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+'Aliases abstr-var-multiplication self::infixop @role="implicit" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),["Rule","abstr-vector","default.default",'[t] "vector de dimensi\u00f3n"; [t] count(./children/*)',"self::vector"],["Rule","abstr-vector","mathspeak.brief",'[t] "vector"',"self::vector"],["SpecializedRule","abstr-vector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-vector;default.default;[t] "vector de dimensi\u00f3n n";self::vector;./children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+'Rule;abstr-binomial;default.default;[t] "binomio";self::vector;@role="binomial"'.split(";"),["SpecializedRule","abstr-binomial","default.default","mathspeak.brief"],["SpecializedRule","abstr-binomial","default.default","mathspeak.sbrief"],'Rule,abstr-determinant,default.default,[t] "determinante de dimensi\u00f3n"; [t] count(./children/*),self::matrix,@role="determinant"'.split(","),'Rule;abstr-determinant;mathspeak.brief;[t] "determinante";self::matrix;@role="determinant"'.split(";"),["SpecializedRule",
+"abstr-determinant","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-determinant;default.default;[t] "determinante de dimensi\u00f3n n";self::matrix;@role="determinant";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),'Rule,abstr-squarematrix,default.default,[t] "matriz cuadrada de dimensi\u00f3n"; [t] count(./children/*),self::matrix,@role="squarematrix"'.split(","),'Rule;abstr-squarematrix;mathspeak.brief;[t] "matriz cuadrada";self::matrix;@role="squarematrix"'.split(";"),
+["SpecializedRule","abstr-squarematrix","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-rowvector,default.default,[t] "vector fila de dimensi\u00f3n"; [t] count(./children/row/children/*),self::matrix,@role="rowvector"'.split(","),'Rule;abstr-rowvector;mathspeak.brief;[t] "vector fila";self::matrix;@role="rowvector"'.split(";"),["SpecializedRule","abstr-rowvector","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "vector fila de dimensi\u00f3n n";self::matrix;@role="rowvector";./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),
+["Rule","abstr-matrix","default.default",'[t] count(children/*);  [t] "por";[t] count(children/*[1]/children/*); [t] "matriz"',"self::matrix"],["Rule","abstr-matrix","mathspeak.brief",'[t] "matriz"',"self::matrix"],["SpecializedRule","abstr-matrix","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-matrix;default.default;[t] "matriz de dimensi\u00f3n n por m";self::matrix;./children/*/children/*/children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-cases","default.default",'[t] "declaraci\u00f3n de caso";[t] "con"; [t] count(children/*); [t] "casos"',
+"self::cases"],["Rule","abstr-cases","mathspeak.brief",'[t] "declaraci\u00f3n de caso"',"self::cases"],["SpecializedRule","abstr-cases","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-cases;default.default;[t] "declaraci\u00f3n de caso con n\u00famero variable de casos";self::cases;./children/row/children/cell/children/punctuation[@role="ellipsis"]or ./children/line/children/punctuation[@role="ellipsis"]'.split(";"),["Rule","abstr-punctuated","default.default",'[t] "lista separada por"; [n] content/*[1]; [t] "de longitud"; [t] count(children/*) - count(content/*)',
+"self::punctuated"],["Rule","abstr-punctuated","mathspeak.brief",'[t] "lista separada por"; [n] content/*[1]',"self::punctuated"],["SpecializedRule","abstr-punctuated","mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-punctuated,default.default,[t] "lista separada por"; [n] content/*[1],[t] "de longitud variable",self::punctuated,./children/punctuation[@role="ellipsis"]'.split(","),["Rule","abstr-bigop","default.default","[n] content/*[1]","self::bigop"],["Rule","abstr-integral","default.default",
+'[t] "integral"','@role="integral"'],"Rule,abstr-relation,default.default,[t] @role (grammar:localRole);,self::relseq,count(./children/*)=2".split(","),'Rule,abstr-relation-seq,default.default,[t] "secuencia de"; [t] @role (grammar:localRole); [t] "con"; [t] count(./children/*); [t] "elementos",self::relseq,count(./children/*)>2'.split(","),'Rule,abstr-relation-seq,mathspeak.brief,[t] "secuencia de"; [t] @role (grammar:localRole),self::relseq,count(./children/*)>2'.split(","),["SpecializedRule","abstr-relation-seq",
+"mathspeak.brief","mathspeak.sbrief"],'Rule,abstr-var-relation,default.default,[t] "secuencia de"; [t] @role (grammar:localRole); [t] "con una cantidad variable de elementos",self::relseq,count(./children/*)>2,./children/punctuation[@role="ellipsis"]'.split(","),'UniqueAlias abstr-relation default.default self::multirel @role!="unknown" count(./children/*)>2'.split(" "),'Aliases abstr-var-relation self::multirel @role!="unknown" count(./children/*)>2 ./children/punctuation[@role="ellipsis"]'.split(" "),
+'Rule,abstr-multirel,default.default,[t] "secuencia de relaci\u00f3n"; [t] "con"; [t] count(./children/*); [t] "elementos",self::multirel,count(./children/*)>2'.split(","),'Rule;abstr-multirel;mathspeak.brief;[t] "secuencia de relaci\u00f3n";self::multirel;count(./children/*)>2'.split(";"),["SpecializedRule","abstr-multirel","mathspeak.brief","mathspeak.sbrief"],'Rule;abstr-var-multirel;default.default;[t] "secuencia de relaci\u00f3n con n\u00famero variable de elementos";self::multirel;count(./children/*)>2;./children/punctuation[@role="ellipsis"]'.split(";"),
+["Rule","abstr-table","default.default",'[t] "mesa con"; [t] count(children/*); [t] "filas y";[t] count(children/*[1]/children/*); [t] "columnas"',"self::table"],["Rule","abstr-line","default.default",'[t] "en"; [t] @role (grammar:localRole);',"self::line"],["Rule","abstr-row","default.default",'[t] "en"; [t] @role (grammar:localRole);[t] count(preceding-sibling::..); [t] "con";[t] count(children/*); [t] "columnas"',"self::row"],["Rule","abstr-cell","default.default",'[t] "en"; [t] @role (grammar:localRole);',
+"self::cell"]]};sre.SpeechRuleStores={};
+sre.SpeechRuleStores.RULE_SETS_={SemanticTreeRules:sre.SemanticTreeRules,MathspeakFrench:sre.MathspeakFrench,MathspeakGerman:sre.MathspeakGerman,MathspeakRules:sre.MathspeakRules,MathspeakSpanish:sre.MathspeakSpanish,NemethRules:sre.NemethRules,ClearspeakFrench:sre.ClearspeakFrench,ClearspeakGerman:sre.ClearspeakGerman,ClearspeakRules:sre.ClearspeakRules,EmacspeakRules:sre.EmacspeakRules,SummaryFrench:sre.SummaryFrench,SummaryGerman:sre.SummaryGerman,SummaryRules:sre.SummaryRules,SummarySpanish:sre.SummarySpanish,
+PrefixFrench:sre.PrefixFrench,PrefixGerman:sre.PrefixGerman,PrefixRules:sre.PrefixRules,PrefixSpanish:sre.PrefixSpanish};sre.SpeechRuleStores.availableSets=function(){return Object.keys(sre.SpeechRuleStores.RULE_SETS_)};sre.SpeechRuleStores.getConstructor=function(a){return(a=sre.SpeechRuleStores.RULE_SETS_[a])?a:null};sre.SpeechRuleEngine=function(){this.activeStore_=null;this.cache_={};this.ready_=!0;this.combinedStores_={};this.evaluators_={};this.ruleSets_={};sre.Engine.registerTest(goog.bind(function(a){return this.ready_},this))};goog.addSingletonGetter(sre.SpeechRuleEngine);
+sre.SpeechRuleEngine.prototype.parameterize=function(a){for(var b={},c=0,d=a.length;c<d;c++){var e=a[c];if(this.ruleSets_[e])b[e]=this.ruleSets_[e];else{var f=sre.SpeechRuleStores.getConstructor(e);if(f&&f.getInstance)b[e]=f.getInstance(),this.ruleSets_[e]=f.getInstance();else if(f){var g=this.storeFactory_(f.modality);g.parse(f);this.ruleSets_[e]=g;b[e]=g}}}this.parameterize_(b)};
+sre.SpeechRuleEngine.prototype.storeFactory_=function(a){return new ({braille:sre.BrailleStore,speech:sre.MathStore}[a]||sre.MathStore)};sre.SpeechRuleEngine.prototype.parameterize_=function(a){try{this.activeStore_=this.combineStores_(a)}catch(b){if("StoreError"==b.name)console.error("Store Error:",b.message);else throw b;}this.updateEngine()};sre.SpeechRuleEngine.prototype.clearCache=function(){this.cache_={}};sre.SpeechRuleEngine.prototype.forCache=function(a){for(var b in this.cache_)a(b,this.cache_[b])};
+sre.SpeechRuleEngine.prototype.getCacheForNode_=function(a){if(!a||!a.getAttribute)return null;a=a.getAttribute("id");return"undefined"===a||""===a?null:this.getCache(a)};sre.SpeechRuleEngine.prototype.getCache=function(a){return(a=this.cache_[a])?this.cloneCache(a):a};sre.SpeechRuleEngine.prototype.cloneCache=function(a){return a.map(function(b){return b.clone()})};
 sre.SpeechRuleEngine.prototype.pushCache_=function(a,b){sre.Engine.getInstance().cache&&a.getAttribute&&(a=a.getAttribute("id"))&&(this.cache_[a]=this.cloneCache(b))};sre.SpeechRuleEngine.prototype.evaluateNode=function(a){var b=(new Date).getTime();a=this.evaluateNode_(a);var c=(new Date).getTime();sre.Debugger.getInstance().output("Time:",c-b);return a};sre.SpeechRuleEngine.prototype.evaluateNode_=function(a){if(!a)return[];this.updateConstraint_();return this.evaluateTree_(a)};
-sre.SpeechRuleEngine.prototype.evaluateTree_=function(a){var b=sre.Engine.getInstance();if(b.cache){var c=this.getCacheForNode_(a);if(c)return c}sre.Grammar.getInstance().setAttribute(a);var d=this.activeStore_.lookupRule(a,b.dynamicCstr);if(!d){if(b.strict)return[];c=this.activeStore_.evaluateDefault(a);this.pushCache_(a,c);return c}sre.Debugger.getInstance().generateOutput(goog.bind(function(){return[d.name,d.dynamicCstr.toString(),a.toString()]},this));b=d.action.components;c=[];for(var e=0,f;f=
-b[e];e++){var g=[],h=f.content||"",k=f.attributes||{};f.grammar&&this.processGrammar(a,f.grammar);switch(f.type){case sre.SpeechRule.Type.NODE:(h=this.activeStore_.applyQuery(a,h))&&(g=this.evaluateTree_(h));break;case sre.SpeechRule.Type.MULTI:h=this.activeStore_.applySelector(a,h);0<h.length&&(g=this.evaluateNodeList_(h,k.sepFunc,this.constructString(a,k.separator),k.ctxtFunc,this.constructString(a,k.context)));break;case sre.SpeechRule.Type.TEXT:(h=this.constructString(a,h))&&(g=[sre.AuditoryDescription.create({text:h},
-{adjust:!0})]);break;default:g=[sre.AuditoryDescription.create({text:h})]}g[0]&&f.type!=sre.SpeechRule.Type.MULTI&&(k.context&&(g[0].context=this.constructString(a,k.context)+(g[0].context||"")),k.annotation&&(g[0].annotation=k.annotation));f.grammar&&sre.Grammar.getInstance().popState();c=c.concat(this.addPersonality_(g,k))}this.pushCache_(a,c);return c};
-sre.SpeechRuleEngine.prototype.evaluateNodeList_=function(a,b,c,d,e){if(a==[])return[];var f=c||"",g=e||"";c=(c=this.activeStore_.contextFunctions.lookup(d))?c(a,g):function(){return g};b=(b=this.activeStore_.contextFunctions.lookup(b))?b(a,f):function(){return sre.AuditoryDescription.create({text:f},{translate:!0})};d=[];e=0;for(var h;h=a[e];e++)h=this.evaluateTree_(h),0<h.length&&(h[0].context=c()+(h[0].context||""),d=d.concat(h),e<a.length-1&&(h=b(),d=d.concat(h)));return d};
-sre.SpeechRuleEngine.prototype.addPersonality_=function(a,b){var c={},d;for(d in sre.Engine.personalityProps){var e=parseFloat(b[sre.Engine.personalityProps[d]]);isNaN(e)||(c[sre.Engine.personalityProps[d]]=e)}for(b=0;d=a[b];b++)this.addRelativePersonality_(d,c);return a};sre.SpeechRuleEngine.prototype.addRelativePersonality_=function(a,b){if(!a.personality)return a.personality=b,a;var c=a.personality,d;for(d in b)c[d]=c[d]&&"number"==typeof c[d]?c[d]+b[d]:b[d];return a};
-sre.SpeechRuleEngine.prototype.toString=function(){return this.activeStore_.findAllRules(function(a){return!0}).map(function(a){return a.toString()}).join("\n")};sre.SpeechRuleEngine.debugSpeechRule=function(a,b){var c=sre.SpeechRuleEngine.getInstance().activeStore_;c&&c.debugSpeechRule(a,b)};
-sre.SpeechRuleEngine.debugNamedSpeechRule=function(a,b){var c=sre.SpeechRuleEngine.getInstance().activeStore_;if(c)for(var d=c.findAllRules(function(b){return b.name==a}),e=0,f;f=d[e];e++)sre.Debugger.getInstance().output("Rule",a,"DynamicCstr:",f.dynamicCstr.toString(),"number",e),c.debugSpeechRule(f,b)};
-sre.SpeechRuleEngine.prototype.runInSetting=function(a,b){var c=sre.Engine.getInstance(),d={},e=null,f;for(f in a)"rules"===f?(e=this.activeStore_,c.ruleSets=a[f],this.parameterize(c.ruleSets)):(d[f]=c[f],c[f]=a[f]);c.dynamicCstr=sre.DynamicCstr.create(c.locale,c.domain,c.style);a=b();for(f in d)c[f]=d[f];e&&(this.activeStore_=e);c.dynamicCstr=sre.DynamicCstr.create(c.locale,c.domain,c.style);return a};
-sre.SpeechRuleEngine.prototype.combineStores_=function(a){var b=this.cachedStore_(a);if(b)return b;b=new sre.MathStore;for(var c in a){var d=a[c];d.initialize();d.getSpeechRules().forEach(function(a){b.trie.addRule(a)});b.contextFunctions.addStore(d.contextFunctions);b.customQueries.addStore(d.customQueries);b.customStrings.addStore(d.customStrings)}b.setSpeechRules(b.trie.collectRules());return this.combinedStores_[this.combinedStoreName_(Object.keys(a))]=b};
-sre.SpeechRuleEngine.prototype.combinedStoreName_=function(a){return a.sort().join("-")};sre.SpeechRuleEngine.prototype.cachedStore_=function(a){var b=Object.keys(a);return b.some(function(b){return!a[b].initialized})?null:this.combinedStores_[this.combinedStoreName_(b)]};
-sre.SpeechRuleEngine.prototype.updateEngine=function(){this.ready_=!0;var a=sre.MathMap.getInstance();sre.Engine.isReady()?sre.Engine.getInstance().evaluator=goog.bind(a.store.lookupString,a.store):(this.ready_=!1,setTimeout(goog.bind(this.updateEngine,this),250))};sre.SpeechRuleEngine.prototype.processGrammar=function(a,b){var c={},d;for(d in b){var e=b[d];c[d]="string"===typeof e?this.constructString(a,e):e}sre.Grammar.getInstance().pushState(c)};
-sre.SpeechRuleEngine.prototype.updateConstraint_=function(){var a=sre.Engine.getInstance().dynamicCstr,b=sre.Engine.getInstance().strict,c={},d=[a.getValue(sre.DynamicCstr.Axis.LOCALE),a.getValue(sre.DynamicCstr.Axis.DOMAIN)],e=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE],f=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN],g=this.activeStore_.trie.hasSubtrie(d);c[sre.DynamicCstr.Axis.LOCALE]=[g?d[0]:e];g=g?g:this.activeStore_.trie.hasSubtrie([e,d[1]]);c[sre.DynamicCstr.Axis.DOMAIN]=
-[g?d[1]:f];a.getOrder().forEach(function(d){if(!c[d]){var e=a.getValue(d),f=sre.DynamicCstr.DEFAULT_VALUES[d];c[d]=b||e===f?[e]:[e,f]}});a.updateProperties(c)};sre.SpeechGeneratorUtil={};sre.SpeechGeneratorUtil.computeSpeech=function(a){var b=sre.SpeechRuleEngine.getInstance();b.clearCache();return b.evaluateNode(a)};sre.SpeechGeneratorUtil.recomputeSpeech=function(a){a=sre.SemanticTree.fromNode(a);return sre.SpeechRuleEngine.getInstance().evaluateNode(a.xml())};
+sre.SpeechRuleEngine.prototype.evaluateTree_=function(a){var b=sre.Engine.getInstance();sre.Debugger.getInstance().output(b.mode!==sre.Engine.Mode.HTTP?a.toString():a);if(b.cache){var c=this.getCacheForNode_(a);if(c)return a.attributes&&this.addPersonality_(c,{},!1,a),c}sre.Grammar.getInstance().setAttribute(a);var d=this.activeStore_.lookupRule(a,b.dynamicCstr);if(!d){if(b.strict)return[];c=this.getEvaluator(b.locale,b.modality)(a);a.attributes&&this.addPersonality_(c,{},!1,a);this.pushCache_(a,
+c);return c}sre.Debugger.getInstance().generateOutput(goog.bind(function(){return["Apply Rule:",d.name,d.dynamicCstr.toString(),b.mode!==sre.Engine.Mode.HTTP?a.toString():a]},this));var e=d.context||this.activeStore_.context,f=d.action.components;c=[];for(var g=0,h;h=f[g];g++){var k=[],l=h.content||"",m=h.attributes||{},n=!1;h.grammar&&this.processGrammar(e,a,h.grammar);var p=null,q=null;if(m.engine){p=sre.Engine.getInstance().dynamicCstr.getComponents();var r=sre.Grammar.parseInput(m.engine);q=this.cache_;
+this.clearCache();sre.Engine.getInstance().setDynamicCstr(r)}switch(h.type){case sre.SpeechRule.Type.NODE:(l=e.applyQuery(a,l))&&(k=this.evaluateTree_(l));break;case sre.SpeechRule.Type.MULTI:n=!0;l=e.applySelector(a,l);0<l.length&&(k=this.evaluateNodeList_(e,l,m.sepFunc,e.constructString(a,m.separator),m.ctxtFunc,e.constructString(a,m.context)));break;case sre.SpeechRule.Type.TEXT:(l=e.constructString(a,l))&&(k=[sre.AuditoryDescription.create({text:l},{adjust:!0})]);break;default:k=[sre.AuditoryDescription.create({text:l})]}k[0]&&
+!n&&(m.context&&(k[0].context=e.constructString(a,m.context)+(k[0].context||"")),m.annotation&&(k[0].annotation=m.annotation));h.grammar&&sre.Grammar.getInstance().popState();c=c.concat(this.addPersonality_(k,m,n,a));p&&(this.cache_=q,sre.Engine.getInstance().setDynamicCstr(p))}this.pushCache_(a,c);return c};
+sre.SpeechRuleEngine.prototype.evaluateNodeList_=function(a,b,c,d,e,f){if(b==[])return[];var g=d||"",h=f||"";d=(d=a.contextFunctions.lookup(e))?d(b,h):function(){return h};a=(a=a.contextFunctions.lookup(c))?a(b,g):function(){return sre.AuditoryDescription.create({text:g},{translate:!0})};c=[];for(e=0;f=b[e];e++)f=this.evaluateTree_(f),0<f.length&&(f[0].context=d()+(f[0].context||""),c=c.concat(f),e<b.length-1&&(f=a(),c=c.concat(f)));return c};
+sre.SpeechRuleEngine.prototype.addPersonality_=function(a,b,c,d){var e={},f;for(f in sre.Engine.personalityProps){var g=b[sre.Engine.personalityProps[f]];if("undefined"!==typeof g){var h=parseFloat(g);e[sre.Engine.personalityProps[f]]=isNaN(h)?'"'==g.charAt(0)?g.slice(1,-1):g:h}}for(b=0;f=a[b];b++)this.addRelativePersonality_(f,e),this.addExternalAttributes_(f,d);c&&a.length&&delete a[a.length-1].personality[sre.Engine.personalityProps.JOIN];return a};
+sre.SpeechRuleEngine.prototype.addExternalAttributes_=function(a,b){if(b.hasAttributes()){b=b.attributes;for(var c=b.length-1;0<=c;c--){var d=b[c].name;!a.attributes[d]&&d.match(/^ext/)&&(a.attributes[d]=b[c].value)}}};sre.SpeechRuleEngine.prototype.addRelativePersonality_=function(a,b){if(!a.personality)return a.personality=b,a;var c=a.personality,d;for(d in b)c[d]=c[d]&&"number"==typeof c[d]&&"number"==typeof b[d]?c[d]+b[d]:b[d];return a};sre.SpeechRuleEngine.prototype.toString=function(){return this.activeStore_.findAllRules(function(a){return!0}).map(function(a){return a.toString()}).join("\n")};
+sre.SpeechRuleEngine.debugSpeechRule=function(a,b){var c=sre.SpeechRuleEngine.getInstance().activeStore_;c&&c.debugSpeechRule(a,b)};sre.SpeechRuleEngine.debugNamedSpeechRule=function(a,b){var c=sre.SpeechRuleEngine.getInstance().activeStore_;if(c)for(var d=c.findAllRules(function(g){return g.name==a}),e=0,f;f=d[e];e++)sre.Debugger.getInstance().output("Rule",a,"DynamicCstr:",f.dynamicCstr.toString(),"number",e),c.debugSpeechRule(f,b)};
+sre.SpeechRuleEngine.prototype.runInSetting=function(a,b){var c=sre.Engine.getInstance(),d={},e=null,f;for(f in a)"rules"===f?(e=this.activeStore_,c.ruleSets=a[f],this.parameterize(c.ruleSets)):(d[f]=c[f],c[f]=a[f]);c.setDynamicCstr();a=b();for(f in d)c[f]=d[f];e&&(this.activeStore_=e);c.setDynamicCstr();return a};
+sre.SpeechRuleEngine.prototype.combineStores_=function(a){var b=this.cachedStore_(a);if(b)return b;b=new sre.MathStore;for(var c in a){var d=a[c];d.initialize();d.getSpeechRules().forEach(function(e){b.trie.addRule(e)});this.addEvaluator(d)}b.setSpeechRules(b.trie.collectRules());return this.combinedStores_[this.combinedStoreName_(Object.keys(a))]=b};sre.SpeechRuleEngine.prototype.combinedStoreName_=function(a){return a.sort().join("-")};
+sre.SpeechRuleEngine.prototype.cachedStore_=function(a){var b=Object.keys(a);return b.some(function(c){return!a[c].initialized})?null:this.combinedStores_[this.combinedStoreName_(b)]};sre.SpeechRuleEngine.prototype.updateEngine=function(){this.ready_=!0;var a=sre.MathMap.getInstance();sre.Engine.isReady()?sre.Engine.getInstance().evaluator=goog.bind(a.store.lookupString,a.store):(this.ready_=!1,setTimeout(goog.bind(this.updateEngine,this),250))};
+sre.SpeechRuleEngine.prototype.processGrammar=function(a,b,c){var d={},e;for(e in c){var f=c[e];d[e]="string"===typeof f?a.constructString(b,f):f}sre.Grammar.getInstance().pushState(d)};
+sre.SpeechRuleEngine.prototype.updateConstraint_=function(){var a=sre.Engine.getInstance().dynamicCstr,b=sre.Engine.getInstance().strict,c=this.activeStore_.trie,d={},e=a.getValue(sre.DynamicCstr.Axis.LOCALE),f=a.getValue(sre.DynamicCstr.Axis.MODALITY),g=a.getValue(sre.DynamicCstr.Axis.DOMAIN);c.hasSubtrie([e,f,g])||(e=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE],c.hasSubtrie([e,f,g])||(f=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY],c.hasSubtrie([e,f,g])||(g=sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN])));
+d[sre.DynamicCstr.Axis.LOCALE]=[e];d[sre.DynamicCstr.Axis.MODALITY]=["summary"!==f?f:sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.MODALITY]];d[sre.DynamicCstr.Axis.DOMAIN]=["speech"!==f?sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]:g];c=a.getOrder();for(e=0;f=c[e];e++)if(!d[f]){g=a.getValue(f);var h=this.makeSet_(g,a.preference),k=sre.DynamicCstr.DEFAULT_VALUES[f];b||g===k||h.push(k);d[f]=h}a.updateProperties(d)};
+sre.SpeechRuleEngine.prototype.makeSet_=function(a,b){return b&&Object.keys(b).length?a.split(":"):[a]};sre.SpeechRuleEngine.prototype.addEvaluator=function(a){var b=goog.bind(a.evaluateDefault,a),c=this.evaluators_[a.locale];c?c[a.modality]=b:(c={},c[a.modality]=b,this.evaluators_[a.locale]=c)};sre.SpeechRuleEngine.prototype.getEvaluator=function(a,b){return(b=(a=this.evaluators_[a])?a[b]:null)?b:goog.bind(this.activeStore_.evaluateDefault,this.activeStore_)};
+sre.SpeechRuleEngine.prototype.enumerate=function(a){return this.activeStore_.trie.enumerate(a)};sre.SpeechGeneratorUtil={};sre.SpeechGeneratorUtil.computeSpeech=function(a){var b=sre.SpeechRuleEngine.getInstance();b.clearCache();return b.evaluateNode(a)};sre.SpeechGeneratorUtil.recomputeSpeech=function(a){a=sre.SemanticTree.fromNode(a);return sre.SpeechRuleEngine.getInstance().evaluateNode(a.xml())};
 sre.SpeechGeneratorUtil.computeSpeechWithoutCache=function(a){var b=sre.Engine.getInstance().cache;sre.Engine.getInstance().cache=!1;a=sre.SpeechRuleEngine.getInstance().evaluateNode(a);sre.Engine.getInstance().cache=b;return a};sre.SpeechGeneratorUtil.retrieveSpeech=function(a){var b=null;sre.Engine.getInstance().cache&&(b=sre.SpeechRuleEngine.getInstance().getCache(a.id.toString()));b||(b=sre.SpeechGeneratorUtil.recomputeSpeech(a));return sre.AuralRendering.getInstance().markup(b)};
-sre.SpeechGeneratorUtil.addSpeech=function(a,b){b=sre.SpeechGeneratorUtil.retrieveSpeech(b);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,b)};sre.SpeechGeneratorUtil.addPrefix=function(a,b){(b=sre.SpeechGeneratorUtil.retrievePrefix(b))&&a.setAttribute(sre.EnrichMathml.Attribute.PREFIX,b)};sre.SpeechGeneratorUtil.retrievePrefix=function(a){a=sre.SpeechGeneratorUtil.computePrefix_(a);return sre.AuralRendering.getInstance().markup(a)};
-sre.SpeechGeneratorUtil.computePrefix_=function(a){var b=sre.SemanticTree.fromRoot(a),c=sre.XpathUtil.evalXPath('.//*[@id="'+a.id+'"]',b.xml())[0];return c?sre.SpeechRuleEngine.getInstance().runInSetting({domain:"prefix",style:"default",strict:!0,cache:!1,speech:!0,rules:["PrefixRules","PrefixSpanish"]},function(){return sre.SpeechRuleEngine.getInstance().evaluateNode(c)}):[]};
-sre.SpeechGeneratorUtil.connectMactions=function(a,b,c){b=sre.DomUtil.querySelectorAll(b,"maction");for(var d=0,e;e=b[d];d++){var f=e.getAttribute("id");if(f=sre.DomUtil.querySelectorAllByAttrValue(a,"id",f)[0]){var g=e.childNodes[1];e=g.getAttribute(sre.EnrichMathml.Attribute.ID);var h=sre.WalkerUtil.getBySemanticId(a,e);h&&"dummy"!==h.getAttribute(sre.EnrichMathml.Attribute.TYPE)||(h=f.childNodes[0],(f=g.getAttribute(sre.EnrichMathml.Attribute.PARENT))&&h.setAttribute(sre.EnrichMathml.Attribute.PARENT,
-f),h.setAttribute(sre.EnrichMathml.Attribute.TYPE,"dummy"),h.setAttribute(sre.EnrichMathml.Attribute.ID,e),sre.DomUtil.querySelectorAllByAttrValue(c,"id",e)[0].setAttribute("alternative",e))}}};sre.SpeechGeneratorUtil.connectAllMactions=function(a,b){a=sre.DomUtil.querySelectorAll(a,"maction");for(var c=0,d;d=a[c];c++)d=d.childNodes[1].getAttribute(sre.EnrichMathml.Attribute.ID),sre.DomUtil.querySelectorAllByAttrValue(b,"id",d)[0].setAttribute("alternative",d)};sre.AbstractSpeechGenerator=function(){this.rebuilt_=null};sre.AbstractSpeechGenerator.prototype.getRebuilt=function(){return this.rebuilt_};sre.AbstractSpeechGenerator.prototype.setRebuilt=function(a){this.rebuilt_=a};sre.AbstractSpeechGenerator.prototype.getSpeech=goog.abstractMethod;sre.AbstractSpeechGenerator.prototype.start=function(){};sre.AbstractSpeechGenerator.prototype.end=function(){};
-sre.AbstractSpeechGenerator.prototype.generateSpeech=function(a,b){this.rebuilt_||(this.rebuilt_=new sre.RebuildStree(b));a=sre.SpeechGeneratorUtil.computeSpeech(this.getRebuilt().xml);return sre.AuralRendering.getInstance().markup(a)};sre.AdhocSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.AdhocSpeechGenerator,sre.AbstractSpeechGenerator);sre.AdhocSpeechGenerator.prototype.getSpeech=function(a,b){b=this.generateSpeech(a,b);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,b);return b};sre.DirectSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.DirectSpeechGenerator,sre.AbstractSpeechGenerator);sre.DirectSpeechGenerator.prototype.getSpeech=function(a,b){return sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.SPEECH)};sre.DummySpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.DummySpeechGenerator,sre.AbstractSpeechGenerator);sre.DummySpeechGenerator.prototype.getSpeech=function(a,b){return""};sre.TreeSpeechGenerator=function(){};goog.inherits(sre.TreeSpeechGenerator,sre.AbstractSpeechGenerator);sre.TreeSpeechGenerator.prototype.getSpeech=function(a,b){var c=this.generateSpeech(a,b);a.setAttribute(sre.EnrichMathml.Attribute.SPEECH,c);var d=this.getRebuilt().nodeDict,e;for(e in d){var f=d[e],g=sre.WalkerUtil.getBySemanticId(b,e),h=sre.WalkerUtil.getBySemanticId(a,e);g&&h&&(sre.SpeechGeneratorUtil.addSpeech(h,f),sre.SpeechGeneratorUtil.addPrefix(h,f))}return c};sre.NodeSpeechGenerator=function(){sre.TreeSpeechGenerator.call(this)};goog.inherits(sre.NodeSpeechGenerator,sre.TreeSpeechGenerator);sre.NodeSpeechGenerator.prototype.getSpeech=function(a,b){var c=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.SPEECH);return c?c:sre.NodeSpeechGenerator.superClass_.getSpeech.call(this,a,b)};sre.SummarySpeechGenerator=function(){};goog.inherits(sre.SummarySpeechGenerator,sre.AbstractSpeechGenerator);sre.SummarySpeechGenerator.prototype.getSpeech=function(a,b){sre.SpeechGeneratorUtil.connectAllMactions(b,this.getRebuilt().xml);return this.generateSpeech(a,b)};sre.SpeechGeneratorFactory={};sre.SpeechGeneratorFactory.generator=function(a){return new (sre.SpeechGeneratorFactory.generatorMapping_[a]||sre.SpeechGeneratorFactory.generatorMapping_.Direct)};sre.SpeechGeneratorFactory.generatorMapping_={Adhoc:sre.AdhocSpeechGenerator,Direct:sre.DirectSpeechGenerator,Dummy:sre.DummySpeechGenerator,Node:sre.NodeSpeechGenerator,Summary:sre.SummarySpeechGenerator,Tree:sre.TreeSpeechGenerator};sre.EventUtil={};sre.EventUtil.KeyCode={ENTER:13,ESC:27,SPACE:32,PAGE_UP:33,PAGE_DOWN:34,END:35,HOME:36,LEFT:37,UP:38,RIGHT:39,DOWN:40,TAB:9,0:48,1:49,2:50,3:51,4:52,5:53,6:54,7:55,8:56,9:57,A:65,B:66,C:67,D:68,E:69,F:70,G:71,H:72,I:73,J:74,K:75,L:76,M:77,N:78,O:79,P:80,Q:81,R:82,S:83,T:84,U:85,V:86,W:87,X:88,Y:89,Z:90};
+sre.SpeechGeneratorUtil.addSpeech=function(a,b,c){b=sre.SpeechGeneratorUtil.retrieveSpeech(b);a.setAttribute(c||sre.EnrichMathml.Attribute.SPEECH,b)};sre.SpeechGeneratorUtil.addPrefix=function(a,b){(b=sre.SpeechGeneratorUtil.retrievePrefix(b))&&a.setAttribute(sre.EnrichMathml.Attribute.PREFIX,b)};sre.SpeechGeneratorUtil.retrievePrefix=function(a){a=sre.SpeechGeneratorUtil.computePrefix_(a);return sre.AuralRendering.getInstance().markup(a)};
+sre.SpeechGeneratorUtil.computePrefix_=function(a){var b=sre.SemanticTree.fromRoot(a),c=sre.XpathUtil.evalXPath('.//*[@id="'+a.id+'"]',b.xml())[0];return c?sre.SpeechRuleEngine.getInstance().runInSetting({modality:"prefix",domain:"default",style:"default",strict:!0,cache:!1,speech:!0},function(){return sre.SpeechRuleEngine.getInstance().evaluateNode(c)}):[]};
+sre.SpeechGeneratorUtil.connectMactions=function(a,b,c){b=sre.DomUtil.querySelectorAll(b,"maction");for(var d=0,e;e=b[d];d++){var f=e.getAttribute("id");if(f=sre.DomUtil.querySelectorAllByAttrValue(a,"id",f)[0]){var g=e.childNodes[1];e=g.getAttribute(sre.EnrichMathml.Attribute.ID);var h=sre.WalkerUtil.getBySemanticId(a,e);h&&"dummy"!==h.getAttribute(sre.EnrichMathml.Attribute.TYPE)||(h=f.childNodes[0],h.getAttribute("sre-highlighter-added")||((f=g.getAttribute(sre.EnrichMathml.Attribute.PARENT))&&
+h.setAttribute(sre.EnrichMathml.Attribute.PARENT,f),h.setAttribute(sre.EnrichMathml.Attribute.TYPE,"dummy"),h.setAttribute(sre.EnrichMathml.Attribute.ID,e),sre.DomUtil.querySelectorAllByAttrValue(c,"id",e)[0].setAttribute("alternative",e)))}}};
+sre.SpeechGeneratorUtil.connectAllMactions=function(a,b){a=sre.DomUtil.querySelectorAll(a,"maction");for(var c=0,d;d=a[c];c++)d=d.childNodes[1].getAttribute(sre.EnrichMathml.Attribute.ID),sre.DomUtil.querySelectorAllByAttrValue(b,"id",d)[0].setAttribute("alternative",d)};sre.SpeechGeneratorUtil.retrieveSummary=function(a){a=sre.SpeechGeneratorUtil.computeSummary_(a);return sre.AuralRendering.getInstance().markup(a)};
+sre.SpeechGeneratorUtil.computeSummary_=function(a){return a?sre.SpeechRuleEngine.getInstance().runInSetting({modality:"summary",strict:!1,cache:!1,speech:!0},function(){return sre.SpeechRuleEngine.getInstance().evaluateNode(a)}):[]};sre.AbstractSpeechGenerator=function(){this.rebuilt_=null;this.options_={};this.modality=sre.EnrichMathml.addPrefix("speech")};sre.AbstractSpeechGenerator.prototype.getRebuilt=function(){return this.rebuilt_};sre.AbstractSpeechGenerator.prototype.setRebuilt=function(a){this.rebuilt_=a};sre.AbstractSpeechGenerator.prototype.setOptions=function(a){this.options_=a||{};this.modality=sre.EnrichMathml.addPrefix(this.options_.modality||"speech")};sre.AbstractSpeechGenerator.prototype.getOptions=function(){return this.options_};
+sre.AbstractSpeechGenerator.prototype.getSpeech=goog.abstractMethod;sre.AbstractSpeechGenerator.prototype.start=function(){};sre.AbstractSpeechGenerator.prototype.end=function(){};sre.AbstractSpeechGenerator.prototype.generateSpeech=function(a,b){this.rebuilt_||(this.rebuilt_=new sre.RebuildStree(b));sre.System.getInstance().setupEngine(this.options_);a=sre.SpeechGeneratorUtil.computeSpeech(this.getRebuilt().xml);return sre.AuralRendering.getInstance().markup(a)};sre.AdhocSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.AdhocSpeechGenerator,sre.AbstractSpeechGenerator);sre.AdhocSpeechGenerator.prototype.getSpeech=function(a,b){b=this.generateSpeech(a,b);a.setAttribute(this.modality,b);return b};sre.ColorGenerator=function(){sre.AbstractSpeechGenerator.call(this);this.modality=sre.EnrichMathml.addPrefix("foreground");this.contrast=new sre.ContrastPicker};goog.inherits(sre.ColorGenerator,sre.AbstractSpeechGenerator);sre.ColorGenerator.prototype.getSpeech=function(a,b){return sre.WalkerUtil.getAttribute(a,this.modality)};
+sre.ColorGenerator.prototype.generateSpeech=function(a,b){this.getRebuilt()||this.setRebuilt(new sre.RebuildStree(a));this.colorLeaves_(a);return sre.WalkerUtil.getAttribute(a,this.modality)};
+sre.ColorGenerator.prototype.colorLeaves_=function(a){var b=this,c=[];sre.ColorGenerator.visitStree_(this.getRebuilt().streeRoot,c,{});var d={};c=$jscomp.makeIterator(c);for(var e=c.next();!e.done;d={$jscomp$loop$prop$color$5:d.$jscomp$loop$prop$color$5},e=c.next()){e=e.value;d.$jscomp$loop$prop$color$5=this.contrast.generate();var f=!1;(f=Array.isArray(e)?e.map(function(g){return function(h){return b.colorLeave_(a,h,g.$jscomp$loop$prop$color$5)}}(d)).reduce(function(g,h){return g||h},!1):this.colorLeave_(a,
+e,d.$jscomp$loop$prop$color$5))&&this.contrast.increment()}};sre.ColorGenerator.prototype.colorLeave_=function(a,b,c){return(a=sre.WalkerUtil.getBySemanticId(a,b))?(a.setAttribute(this.modality,c),!0):!1};
+sre.ColorGenerator.visitStree_=function(a,b,c){if(a.childNodes.length){if(a.contentNodes.length&&("punctuated"===a.type&&a.contentNodes.forEach(function(h){return c[h.id]=!0}),"implicit"!==a.role&&b.push(a.contentNodes.map(function(h){return h.id}))),a.childNodes.length)if("implicit"===a.role){var d=[],e=[];a=$jscomp.makeIterator(a.childNodes);for(var f=a.next();!f.done;f=a.next()){var g=[];sre.ColorGenerator.visitStree_(f.value,g,c);2>=g.length&&d.push(g.shift());e=e.concat(g)}b.push(d);e.forEach(function(h){return b.push(h)})}else a.childNodes.forEach(function(h){return sre.ColorGenerator.visitStree_(h,
+b,c)})}else c[a.id]||b.push(a.id)};sre.DirectSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.DirectSpeechGenerator,sre.AbstractSpeechGenerator);sre.DirectSpeechGenerator.prototype.getSpeech=function(a,b){return sre.WalkerUtil.getAttribute(a,this.modality)};sre.DummySpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.DummySpeechGenerator,sre.AbstractSpeechGenerator);sre.DummySpeechGenerator.prototype.getSpeech=function(a,b){return""};sre.TreeSpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.TreeSpeechGenerator,sre.AbstractSpeechGenerator);
+sre.TreeSpeechGenerator.prototype.getSpeech=function(a,b){var c=this.generateSpeech(a,b);a.setAttribute(this.modality,c);var d=this.getRebuilt().nodeDict,e;for(e in d){var f=d[e],g=sre.WalkerUtil.getBySemanticId(b,e),h=sre.WalkerUtil.getBySemanticId(a,e);g&&h&&(sre.SpeechGeneratorUtil.addSpeech(h,f,this.modality),this.modality===sre.EnrichMathml.Attribute.SPEECH&&sre.SpeechGeneratorUtil.addPrefix(h,f))}return c};sre.NodeSpeechGenerator=function(){sre.TreeSpeechGenerator.call(this)};goog.inherits(sre.NodeSpeechGenerator,sre.TreeSpeechGenerator);sre.NodeSpeechGenerator.prototype.getSpeech=function(a,b){var c=sre.WalkerUtil.getAttribute(a,this.modality);return c?c:sre.NodeSpeechGenerator.superClass_.getSpeech.call(this,a,b)};sre.SummarySpeechGenerator=function(){sre.AbstractSpeechGenerator.call(this)};goog.inherits(sre.SummarySpeechGenerator,sre.AbstractSpeechGenerator);sre.SummarySpeechGenerator.prototype.getSpeech=function(a,b){sre.SpeechGeneratorUtil.connectAllMactions(b,this.getRebuilt().xml);return this.generateSpeech(a,b)};sre.SpeechGeneratorFactory={};sre.SpeechGeneratorFactory.generator=function(a){return new (sre.SpeechGeneratorFactory.generatorMapping_[a]||sre.SpeechGeneratorFactory.generatorMapping_.Direct)};sre.SpeechGeneratorFactory.generatorMapping_={Adhoc:sre.AdhocSpeechGenerator,Color:sre.ColorGenerator,Direct:sre.DirectSpeechGenerator,Dummy:sre.DummySpeechGenerator,Node:sre.NodeSpeechGenerator,Summary:sre.SummarySpeechGenerator,Tree:sre.TreeSpeechGenerator};sre.EventUtil={};sre.EventUtil.KeyCode={ENTER:13,ESC:27,SPACE:32,PAGE_UP:33,PAGE_DOWN:34,END:35,HOME:36,LEFT:37,UP:38,RIGHT:39,DOWN:40,TAB:9,LESS:188,GREATER:190,DASH:189,0:48,1:49,2:50,3:51,4:52,5:53,6:54,7:55,8:56,9:57,A:65,B:66,C:67,D:68,E:69,F:70,G:71,H:72,I:73,J:74,K:75,L:76,M:77,N:78,O:79,P:80,Q:81,R:82,S:83,T:84,U:85,V:86,W:87,X:88,Y:89,Z:90};sre.EventUtil.Move=function(){var a={},b;for(b in sre.EventUtil.KeyCode)a[sre.EventUtil.KeyCode[b]]=b;return a}();
 sre.EventUtil.EventType={CLICK:"click",DBLCLICK:"dblclick",MOUSEDOWN:"mousedown",MOUSEUP:"mouseup",MOUSEOVER:"mouseover",MOUSEOUT:"mouseout",MOUSEMOVE:"mousemove",SELECTSTART:"selectstart",KEYPRESS:"keypress",KEYDOWN:"keydown",KEYUP:"keyup",TOUCHSTART:"touchstart",TOUCHMOVE:"touchmove",TOUCHEND:"touchend",TOUCHCANCEL:"touchcancel"};sre.EventUtil.Event=function(a,b,c){this.src=a;this.type=b;this.callback=c};sre.EventUtil.Event.prototype.add=function(){this.src.addEventListener(this.type,this.callback)};
 sre.EventUtil.Event.prototype.remove=function(){this.src.removeEventListener(this.type,this.callback)};sre.Focus=function(a,b){this.semanticNodes_=a;this.semanticPrimary_=b;this.domNodes_=[];this.domPrimary_=null;this.allNodes_=[]};sre.Focus.prototype.getSemanticPrimary=function(){return this.semanticPrimary_};sre.Focus.prototype.getSemanticNodes=function(){return this.semanticNodes_};sre.Focus.prototype.getNodes=function(){return this.allNodes_};sre.Focus.prototype.getDomNodes=function(){return this.domNodes_};sre.Focus.prototype.getDomPrimary=function(){return this.domPrimary_};
 sre.Focus.prototype.toString=function(){return"Primary:"+this.domPrimary_+" Nodes:"+this.domNodes_};sre.Focus.prototype.clone=function(){var a=new sre.Focus(this.semanticNodes_,this.semanticPrimary_);a.domNodes_=this.domNodes_;a.domPrimary_=this.domPrimary_;a.allNodes_=this.allNodes_;return a};
-sre.Focus.factory=function(a,b,c,d){var e=function(a){return sre.WalkerUtil.getBySemanticId(d,a)},f=c.nodeDict;c=e(a);e=b.map(e);var g=b.map(function(a){return f[a]});a=new sre.Focus(g,f[a]);a.domNodes_=e;a.domPrimary_=c;a.allNodes_=sre.Focus.generateAllVisibleNodes_(b,e,f,d);return a};
-sre.Focus.generateAllVisibleNodes_=function(a,b,c,d){for(var e=function(a){return sre.WalkerUtil.getBySemanticId(d,a)},f=[],g=0,h=a.length;g<h;g++)if(b[g])f.push(b[g]);else{var k=c[a[g]];if(k){k=k.childNodes.map(function(a){return a.id.toString()});var l=k.map(e);f=f.concat(sre.Focus.generateAllVisibleNodes_(k,l,c,d))}}return f};sre.Levels=function(){this.level_=[]};sre.Levels.prototype.push=function(a){this.level_.push(a)};sre.Levels.prototype.pop=function(){return this.level_.pop()};sre.Levels.prototype.peek=function(){return this.level_[this.level_.length-1]||null};sre.Levels.prototype.indexOf=function(a){var b=this.peek();return b?b.indexOf(a):null};sre.Levels.prototype.find=function(a){var b=this.peek();if(!b)return null;for(var c=0,d=b.length;c<d;c++)if(a(b[c]))return b[c];return null};
-sre.Levels.prototype.get=function(a){var b=this.peek();return!b||0>a||a>=b.length?null:b[a]};sre.Levels.prototype.depth=function(){return this.level_.length};sre.Levels.prototype.clone=function(){var a=new sre.Levels;a.level_=this.level_.slice(0);return a};sre.Levels.prototype.toString=function(){for(var a="",b=0,c;c=this.level_[b];b++)a+="\n"+c.map(function(a){return a.toString()});return a};sre.Walker=function(){};sre.Walker.prototype.isActive=function(){};sre.Walker.prototype.activate=function(){};sre.Walker.prototype.deactivate=function(){};sre.Walker.prototype.speech=function(){};sre.Walker.prototype.getFocus=function(){};sre.Walker.prototype.setFocus=function(a){};sre.Walker.prototype.getDepth=function(){};sre.Walker.prototype.move=function(a){};
-sre.Walker.move={UP:"up",DOWN:"down",LEFT:"left",RIGHT:"right",REPEAT:"repeat",DEPTH:"depth",ENTER:"enter",EXPAND:"expand",HOME:"home",SUMMARY:"summary",DETAIL:"detail",ROW:"row",CELL:"cell"};sre.AbstractWalker=function(a,b,c,d){this.node=a;this.xml=sre.DomUtil.parseInput(d);this.generator=b;this.rebuilt=this.rebuildStree_();this.generator.setRebuilt(this.rebuilt);this.highlighter=c;this.active_=!1;this.keyMapping={};this.keyMapping[sre.EventUtil.KeyCode.UP]=goog.bind(this.up,this);this.keyMapping[sre.EventUtil.KeyCode.DOWN]=goog.bind(this.down,this);this.keyMapping[sre.EventUtil.KeyCode.RIGHT]=goog.bind(this.right,this);this.keyMapping[sre.EventUtil.KeyCode.LEFT]=goog.bind(this.left,
-this);this.keyMapping[sre.EventUtil.KeyCode.TAB]=goog.bind(this.repeat,this);this.keyMapping[sre.EventUtil.KeyCode.ENTER]=goog.bind(this.expand,this);this.keyMapping[sre.EventUtil.KeyCode.SPACE]=goog.bind(this.depth,this);this.keyMapping[sre.EventUtil.KeyCode.HOME]=goog.bind(this.home,this);this.keyMapping[sre.EventUtil.KeyCode.X]=goog.bind(this.summary,this);this.keyMapping[sre.EventUtil.KeyCode.Z]=goog.bind(this.detail,this);this.keyMapping[sre.EventUtil.KeyCode.V]=goog.bind(this.virtualize,this);
-this.keyMapping[sre.EventUtil.KeyCode.P]=goog.bind(this.previous,this);this.keyMapping[sre.EventUtil.KeyCode.U]=goog.bind(this.undo,this);this.dummy_=function(){};this.rootNode=sre.WalkerUtil.getSemanticRoot(a);this.rootId=this.rebuilt.stree.root.id.toString();this.focus_=sre.Focus.factory(this.rootId,[this.rootId],this.rebuilt,this.node);this.moved=sre.Walker.move.ENTER;this.cursors=[]};sre.AbstractWalker.prototype.isActive=function(){return this.active_};
-sre.AbstractWalker.prototype.toggleActive_=function(){this.active_=!this.active_};sre.AbstractWalker.prototype.activate=function(){this.isActive()||(this.generator.start(),this.toggleActive_())};sre.AbstractWalker.prototype.deactivate=function(){this.isActive()&&(this.highlighter.setState(this.node.id,this.primaryId()),this.generator.end(),this.toggleActive_())};sre.AbstractWalker.prototype.getFocus=function(){return this.focus_};sre.AbstractWalker.prototype.setFocus=function(a){this.focus_=a};
-sre.AbstractWalker.prototype.getDepth=function(){return this.levels.depth()-1};
-sre.AbstractWalker.prototype.speech=function(){var a=this.focus_.getDomNodes();if(!a.length)return"";var b=this.specialMove();if(null!==b)return b;switch(this.moved){case sre.Walker.move.DEPTH:return this.depth_();case sre.Walker.move.SUMMARY:return this.summary_();case sre.Walker.move.DETAIL:return this.detail_();default:b=[];for(var c=this.focus_.getSemanticNodes(),d=0,e=a.length;d<e;d++){var f=a[d],g=c[d];b.push(f?this.generator.getSpeech(f,this.xml):sre.SpeechGeneratorUtil.retrieveSpeech(g))}return this.mergePrefix_(b)}};
-sre.AbstractWalker.prototype.mergePrefix_=function(a,b){b=b||[];var c=this.prefix_();c&&a.unshift(c);return sre.AuralRendering.getInstance().merge(b.concat(a))};sre.AbstractWalker.prototype.prefix_=function(){var a=this.focus_.getDomNodes(),b=this.focus_.getSemanticNodes();return a[0]?sre.WalkerUtil.getAttribute(a[0],sre.EnrichMathml.Attribute.PREFIX):sre.SpeechGeneratorUtil.retrievePrefix(b[0])};
-sre.AbstractWalker.prototype.move=function(a){a=this.keyMapping[a];if(!a)return null;a=a();if(!a||a===this.focus_)return!1;this.focus_=a;this.moved===sre.Walker.move.HOME&&(this.levels=this.initLevels());return!0};sre.AbstractWalker.prototype.up=function(){this.moved=sre.Walker.move.UP;return this.focus_};sre.AbstractWalker.prototype.down=function(){this.moved=sre.Walker.move.DOWN;return this.focus_};sre.AbstractWalker.prototype.left=function(){this.moved=sre.Walker.move.LEFT;return this.focus_};
-sre.AbstractWalker.prototype.right=function(){this.moved=sre.Walker.move.RIGHT;return this.focus_};sre.AbstractWalker.prototype.repeat=function(){this.moved=sre.Walker.move.REPEAT;return this.focus_.clone()};sre.AbstractWalker.prototype.depth=function(){this.moved=sre.Walker.move.DEPTH;return this.focus_.clone()};
-sre.AbstractWalker.prototype.depth_=function(){var a=sre.Grammar.getInstance().getParameter("depth");sre.Grammar.getInstance().setParameter("depth",!0);var b=this.focus_.getDomPrimary();b=this.expandable(b)&&[sre.Messages.NAVIGATE.EXPANDABLE]||this.collapsible(b)&&[sre.Messages.NAVIGATE.COLLAPSIBLE]||[];var c=[sre.AuralRendering.getInstance().markup([new sre.AuditoryDescription({text:sre.Messages.NAVIGATE.LEVEL+" "+this.getDepth(),personality:{}})])],d=this.focus_.getSemanticNodes();(d=sre.SpeechGeneratorUtil.retrievePrefix(d[0]))&&
-c.push(d);sre.Grammar.getInstance().setParameter("depth",a);return sre.AuralRendering.getInstance().merge(c.concat(b))};sre.AbstractWalker.prototype.home=function(){this.moved=sre.Walker.move.HOME;return sre.Focus.factory(this.rootId,[this.rootId],this.rebuilt,this.node)};sre.AbstractWalker.prototype.getBySemanticId=function(a){return sre.WalkerUtil.getBySemanticId(this.node,a)};sre.AbstractWalker.prototype.primaryId=function(){return this.focus_.getSemanticPrimary().id.toString()};
-sre.AbstractWalker.prototype.expand=function(){var a=this.focus_.getDomPrimary();a=this.actionable_(a);if(!a)return this.focus_;this.moved=sre.Walker.move.EXPAND;a.onclick();return this.focus_.clone()};sre.AbstractWalker.prototype.actionable_=function(a){return a&&a.parentNode&&this.highlighter.isMactionNode(a.parentNode)?a.parentNode:null};sre.AbstractWalker.prototype.expandable=function(a){return!!this.actionable_(a)&&0===a.childNodes.length};
-sre.AbstractWalker.prototype.collapsible=function(a){return!!this.actionable_(a)&&0<a.childNodes.length};sre.AbstractWalker.prototype.restoreState=function(){if(this.highlighter){var a=this.highlighter.getState(this.node.id);if(a){var b=this.rebuilt.nodeDict[a];for(a=[];b;)a.push(b.id),b=b.parent;for(a.pop();0<a.length;){this.down();b=a.pop();b=this.findFocusOnLevel(b);if(!b)break;this.focus_=b}this.moved=sre.Walker.move.ENTER}}};sre.AbstractWalker.prototype.findFocusOnLevel=goog.abstractMethod;
-sre.AbstractWalker.prototype.initLevels=goog.abstractMethod;sre.AbstractWalker.prototype.rebuildStree_=function(){var a=new sre.RebuildStree(this.xml);sre.SpeechGeneratorUtil.connectMactions(this.node,this.xml,a.xml);return a};sre.AbstractWalker.prototype.previousLevel=function(){var a=this.focus_.getDomPrimary();return a?sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.PARENT):this.focus_.getSemanticPrimary().parent.id.toString()};
-sre.AbstractWalker.prototype.nextLevel=function(){var a=this.focus_.getDomPrimary();if(a){var b=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CHILDREN)),c=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CONTENT)),d=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.TYPE);a=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ROLE);return this.combineContentChildren(d,a,c,b)}c=function(a){return a.id.toString()};
-d=this.rebuilt.nodeDict[this.primaryId()];b=d.childNodes.map(c);c=d.contentNodes.map(c);return 0===b.length?[]:this.combineContentChildren(d.type,d.role,c,b)};sre.AbstractWalker.prototype.combineContentChildren=goog.abstractMethod;sre.AbstractWalker.prototype.singletonFocus=function(a){return this.focusFromId(a,[a])};sre.AbstractWalker.prototype.focusFromId=function(a,b){return sre.Focus.factory(a,b,this.rebuilt,this.node)};
-sre.AbstractWalker.prototype.summary=function(){this.moved=sre.Walker.move.SUMMARY;return this.focus_.clone()};
-sre.AbstractWalker.prototype.summary_=function(){var a=this.focus_.getSemanticPrimary().id.toString();a=this.rebuilt.xml.getAttribute("id")===a?this.rebuilt.xml:sre.DomUtil.querySelectorAllByAttrValue(this.rebuilt.xml,"id",a)[0];var b=a.getAttribute("alternative");a.setAttribute("alternative","summary");var c=sre.SpeechGeneratorUtil.computeSpeechWithoutCache(a);c=sre.AuralRendering.getInstance().markup(c);c=this.mergePrefix_([c]);b?a.setAttribute("alternative",b):a.removeAttribute("alternative");
-return c};sre.AbstractWalker.prototype.detail=function(){this.moved=sre.Walker.move.DETAIL;return this.focus_.clone()};
-sre.AbstractWalker.prototype.detail_=function(){var a=this.focus_.getSemanticPrimary().id.toString();a=this.rebuilt.xml.getAttribute("id")===a?this.rebuilt.xml:sre.DomUtil.querySelectorAllByAttrValue(this.rebuilt.xml,"id",a)[0];var b=a.getAttribute("alternative");a.removeAttribute("alternative");var c=sre.SpeechGeneratorUtil.computeSpeechWithoutCache(a);c=sre.AuralRendering.getInstance().markup(c);c=this.mergePrefix_([c]);a.setAttribute("alternative",b);return c};
-sre.AbstractWalker.prototype.specialMove=function(){return null};sre.AbstractWalker.prototype.virtualize=function(a){this.cursors.push({focus:this.focus_,levels:this.levels,undo:a||!this.cursors.length});this.levels=this.levels.clone();return this.focus_.clone()};sre.AbstractWalker.prototype.previous=function(){var a=this.cursors.pop();if(!a)return this.focus_;this.levels=a.levels;return a.focus};
-sre.AbstractWalker.prototype.undo=function(){do var a=this.cursors.pop();while(a&&!a.undo);if(!a)return this.focus_;this.levels=a.levels;return a.focus};sre.DummyWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d)};goog.inherits(sre.DummyWalker,sre.AbstractWalker);sre.DummyWalker.prototype.up=function(){};sre.DummyWalker.prototype.down=function(){};sre.DummyWalker.prototype.left=function(){};sre.DummyWalker.prototype.right=function(){};sre.DummyWalker.prototype.repeat=function(){};sre.DummyWalker.prototype.depth=function(){};sre.DummyWalker.prototype.home=function(){};sre.DummyWalker.prototype.getDepth=function(){return 0};sre.SemanticWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d);this.levels=this.initLevels();this.restoreState()};goog.inherits(sre.SemanticWalker,sre.AbstractWalker);sre.SemanticWalker.prototype.initLevels=function(){var a=new sre.Levels;a.push([this.getFocus()]);return a};
-sre.SemanticWalker.prototype.up=function(){sre.SemanticWalker.superClass_.up.call(this);var a=this.previousLevel();if(!a)return null;this.levels.pop();return this.levels.find(function(b){return b.getSemanticNodes().some(function(b){return b.id.toString()===a})})};sre.SemanticWalker.prototype.down=function(){sre.SemanticWalker.superClass_.down.call(this);var a=this.nextLevel();if(0===a.length)return null;this.levels.push(a);return a[0]};
+sre.Focus.factory=function(a,b,c,d){var e=function(h){return sre.WalkerUtil.getBySemanticId(d,h)},f=c.nodeDict;c=e(a);e=b.map(e);var g=b.map(function(h){return f[h]});a=new sre.Focus(g,f[a]);a.domNodes_=e;a.domPrimary_=c;a.allNodes_=sre.Focus.generateAllVisibleNodes_(b,e,f,d);return a};
+sre.Focus.generateAllVisibleNodes_=function(a,b,c,d){for(var e=function(m){return sre.WalkerUtil.getBySemanticId(d,m)},f=[],g=0,h=a.length;g<h;g++)if(b[g])f.push(b[g]);else{var k=c[a[g]];if(k){k=k.childNodes.map(function(m){return m.id.toString()});var l=k.map(e);f=f.concat(sre.Focus.generateAllVisibleNodes_(k,l,c,d))}}return f};sre.Levels=function(){this.level_=[]};sre.Levels.prototype.push=function(a){this.level_.push(a)};sre.Levels.prototype.pop=function(){return this.level_.pop()};sre.Levels.prototype.peek=function(){return this.level_[this.level_.length-1]||null};sre.Levels.prototype.indexOf=function(a){var b=this.peek();return b?b.indexOf(a):null};sre.Levels.prototype.find=function(a){var b=this.peek();if(!b)return null;for(var c=0,d=b.length;c<d;c++)if(a(b[c]))return b[c];return null};
+sre.Levels.prototype.get=function(a){var b=this.peek();return!b||0>a||a>=b.length?null:b[a]};sre.Levels.prototype.depth=function(){return this.level_.length};sre.Levels.prototype.clone=function(){var a=new sre.Levels;a.level_=this.level_.slice(0);return a};sre.Levels.prototype.toString=function(){for(var a="",b=0,c;c=this.level_[b];b++)a+="\n"+c.map(function(d){return d.toString()});return a};sre.Walker=function(){};sre.Walker.prototype.isActive=function(){};sre.Walker.prototype.activate=function(){};sre.Walker.prototype.deactivate=function(){};sre.Walker.prototype.speech=function(){};sre.Walker.prototype.getXml=function(){};sre.Walker.prototype.getRebuilt=function(){};sre.Walker.prototype.getFocus=function(a){};sre.Walker.prototype.setFocus=function(a){};sre.Walker.prototype.getDepth=function(){};sre.Walker.prototype.move=function(a){};sre.Walker.prototype.update=function(a){};
+sre.Walker.move={UP:"up",DOWN:"down",LEFT:"left",RIGHT:"right",REPEAT:"repeat",DEPTH:"depth",ENTER:"enter",EXPAND:"expand",HOME:"home",SUMMARY:"summary",DETAIL:"detail",ROW:"row",CELL:"cell"};sre.Walker.STATE_={};sre.Walker.resetState=function(a){delete sre.Walker.STATE_[a]};sre.Walker.setState=function(a,b){sre.Walker.STATE_[a]=b};sre.Walker.getState=function(a){return sre.Walker.STATE_[a]};sre.AbstractWalker=function(a,b,c,d){this.node=a;this.node.id?this.id=this.node.id:this.node.hasAttribute(sre.AbstractWalker.SRE_ID_ATTR)?this.id=this.node.getAttribute(sre.AbstractWalker.SRE_ID_ATTR):(this.node.setAttribute(sre.AbstractWalker.SRE_ID_ATTR,sre.AbstractWalker.ID_COUNTER),this.id=sre.AbstractWalker.ID_COUNTER++);this.generator=b;this.highlighter=c;this.rootNode=sre.WalkerUtil.getSemanticRoot(a);this.rootId=this.rootNode.getAttribute(sre.EnrichMathml.Attribute.ID);this.xmlString_=d;this.focus_=
+this.rebuilt_=this.xml_=null;this.keyMapping={};this.keyMapping[sre.EventUtil.KeyCode.UP]=goog.bind(this.up,this);this.keyMapping[sre.EventUtil.KeyCode.DOWN]=goog.bind(this.down,this);this.keyMapping[sre.EventUtil.KeyCode.RIGHT]=goog.bind(this.right,this);this.keyMapping[sre.EventUtil.KeyCode.LEFT]=goog.bind(this.left,this);this.keyMapping[sre.EventUtil.KeyCode.TAB]=goog.bind(this.repeat,this);this.keyMapping[sre.EventUtil.KeyCode.DASH]=goog.bind(this.expand,this);this.keyMapping[sre.EventUtil.KeyCode.SPACE]=
+goog.bind(this.depth,this);this.keyMapping[sre.EventUtil.KeyCode.HOME]=goog.bind(this.home,this);this.keyMapping[sre.EventUtil.KeyCode.X]=goog.bind(this.summary,this);this.keyMapping[sre.EventUtil.KeyCode.Z]=goog.bind(this.detail,this);this.keyMapping[sre.EventUtil.KeyCode.V]=goog.bind(this.virtualize,this);this.keyMapping[sre.EventUtil.KeyCode.P]=goog.bind(this.previous,this);this.keyMapping[sre.EventUtil.KeyCode.U]=goog.bind(this.undo,this);this.keyMapping[sre.EventUtil.KeyCode.LESS]=goog.bind(this.previousRules,
+this);this.keyMapping[sre.EventUtil.KeyCode.GREATER]=goog.bind(this.nextRules,this);this.active_=!1;this.moved=sre.Walker.move.ENTER;this.cursors=[]};sre.AbstractWalker.prototype.getXml=function(){this.xml_||(this.xml_=sre.DomUtil.parseInput(this.xmlString_));return this.xml_};sre.AbstractWalker.prototype.getRebuilt=function(){this.rebuilt_||(this.rebuilt_=this.rebuildStree());return this.rebuilt_};sre.AbstractWalker.ID_COUNTER=0;sre.AbstractWalker.SRE_ID_ATTR="sre-explorer-id";
+sre.AbstractWalker.prototype.isActive=function(){return this.active_};sre.AbstractWalker.prototype.toggleActive_=function(){this.active_=!this.active_};sre.AbstractWalker.prototype.activate=function(){this.isActive()||(this.generator.start(),this.toggleActive_())};sre.AbstractWalker.prototype.deactivate=function(){this.isActive()&&(sre.Walker.setState(this.id,this.primaryId()),this.generator.end(),this.toggleActive_())};
+sre.AbstractWalker.prototype.getFocus=function(a){this.focus_||(this.focus_=sre.Focus.factory(this.rootId,[this.rootId],this.getRebuilt(),this.node));a&&this.updateFocus();return this.focus_};sre.AbstractWalker.prototype.setFocus=function(a){this.focus_=a};sre.AbstractWalker.prototype.getDepth=function(){return this.levels.depth()-1};sre.AbstractWalker.prototype.isSpeech=function(){return this.generator.modality===sre.EnrichMathml.Attribute.SPEECH};
+sre.AbstractWalker.prototype.speech=function(){var a=this.getFocus().getDomNodes();if(!a.length)return"";var b=this.specialMove();if(null!==b)return b;switch(this.moved){case sre.Walker.move.DEPTH:return this.depth_();case sre.Walker.move.SUMMARY:return this.summary_();case sre.Walker.move.DETAIL:return this.detail_();default:b=[];for(var c=this.getFocus().getSemanticNodes(),d=0,e=a.length;d<e;d++){var f=a[d],g=c[d];b.push(f?this.generator.getSpeech(f,this.getXml()):sre.SpeechGeneratorUtil.retrieveSpeech(g))}return this.mergePrefix_(b)}};
+sre.AbstractWalker.prototype.mergePrefix_=function(a,b){b=b||[];var c=this.isSpeech()?this.prefix_():"",d=sre.AuralRendering.getInstance();c&&a.unshift(c);return d.finalize(d.merge(b.concat(a)))};sre.AbstractWalker.prototype.prefix_=function(){var a=this.getFocus().getDomNodes(),b=this.getFocus().getSemanticNodes();return a[0]?sre.WalkerUtil.getAttribute(a[0],sre.EnrichMathml.Attribute.PREFIX):sre.SpeechGeneratorUtil.retrievePrefix(b[0])};
+sre.AbstractWalker.prototype.move=function(a){a=this.keyMapping[a];if(!a)return null;a=a();if(!a||a===this.getFocus())return!1;this.setFocus(a);this.moved===sre.Walker.move.HOME&&(this.levels=this.initLevels());return!0};sre.AbstractWalker.prototype.up=function(){this.moved=sre.Walker.move.UP;return this.getFocus()};sre.AbstractWalker.prototype.down=function(){this.moved=sre.Walker.move.DOWN;return this.getFocus()};sre.AbstractWalker.prototype.left=function(){this.moved=sre.Walker.move.LEFT;return this.getFocus()};
+sre.AbstractWalker.prototype.right=function(){this.moved=sre.Walker.move.RIGHT;return this.getFocus()};sre.AbstractWalker.prototype.repeat=function(){this.moved=sre.Walker.move.REPEAT;return this.getFocus().clone()};sre.AbstractWalker.prototype.depth=function(){this.moved=this.isSpeech()?sre.Walker.move.DEPTH:sre.Walker.move.REPEAT;return this.getFocus().clone()};
+sre.AbstractWalker.prototype.depth_=function(){var a=sre.Grammar.getInstance().getParameter("depth");sre.Grammar.getInstance().setParameter("depth",!0);var b=this.getFocus().getDomPrimary();b=this.expandable(b)&&[sre.Messages.NAVIGATE.EXPANDABLE]||this.collapsible(b)&&[sre.Messages.NAVIGATE.COLLAPSIBLE]||[];var c=[sre.AuralRendering.getInstance().markup([new sre.AuditoryDescription({text:sre.Messages.NAVIGATE.LEVEL+" "+this.getDepth(),personality:{}})])],d=this.getFocus().getSemanticNodes();d=sre.SpeechGeneratorUtil.retrievePrefix(d[0]);
+var e=sre.AuralRendering.getInstance();d&&c.push(d);sre.Grammar.getInstance().setParameter("depth",a);return e.finalize(e.merge(c.concat(b)))};sre.AbstractWalker.prototype.home=function(){this.moved=sre.Walker.move.HOME;return sre.Focus.factory(this.rootId,[this.rootId],this.getRebuilt(),this.node)};sre.AbstractWalker.prototype.getBySemanticId=function(a){return sre.WalkerUtil.getBySemanticId(this.node,a)};sre.AbstractWalker.prototype.primaryId=function(){return this.getFocus().getSemanticPrimary().id.toString()};
+sre.AbstractWalker.prototype.expand=function(){var a=this.getFocus().getDomPrimary();a=this.actionable_(a);if(!a)return this.getFocus();this.moved=sre.Walker.move.EXPAND;a.dispatchEvent(new Event("click"));return this.getFocus().clone()};sre.AbstractWalker.prototype.actionable_=function(a){return a&&a.parentNode&&this.highlighter.isMactionNode(a.parentNode)?a.parentNode:null};sre.AbstractWalker.prototype.expandable=function(a){return!!this.actionable_(a)&&0===a.childNodes.length};
+sre.AbstractWalker.prototype.collapsible=function(a){return!!this.actionable_(a)&&0<a.childNodes.length};sre.AbstractWalker.prototype.restoreState=function(){if(this.highlighter){var a=sre.Walker.getState(this.id);if(a){var b=this.getRebuilt().nodeDict[a];for(a=[];b;)a.push(b.id),b=b.parent;for(a.pop();0<a.length;){this.down();b=a.pop();b=this.findFocusOnLevel(b);if(!b)break;this.setFocus(b)}this.moved=sre.Walker.move.ENTER}}};
+sre.AbstractWalker.prototype.updateFocus=function(){this.setFocus(sre.Focus.factory(this.getFocus().getSemanticPrimary().id.toString(),this.getFocus().getSemanticNodes().map(function(a){return a.id}),this.getRebuilt(),this.node))};sre.AbstractWalker.prototype.findFocusOnLevel=goog.abstractMethod;sre.AbstractWalker.prototype.initLevels=goog.abstractMethod;
+sre.AbstractWalker.prototype.rebuildStree=function(){var a=new sre.RebuildStree(this.getXml());this.rootId=a.stree.root.id.toString();this.generator.setRebuilt(a);this.focus_=sre.Focus.factory(this.rootId,[this.rootId],a,this.node);this.levels=this.initLevels();sre.SpeechGeneratorUtil.connectMactions(this.node,this.getXml(),a.xml);return a};
+sre.AbstractWalker.prototype.previousLevel=function(){var a=this.getFocus().getDomPrimary();return a?sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.PARENT):this.getFocus().getSemanticPrimary().parent.id.toString()};
+sre.AbstractWalker.prototype.nextLevel=function(){var a=this.getFocus().getDomPrimary();if(a){var b=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CHILDREN)),c=sre.WalkerUtil.splitAttribute(sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.CONTENT)),d=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.TYPE);a=sre.WalkerUtil.getAttribute(a,sre.EnrichMathml.Attribute.ROLE);return this.combineContentChildren(d,a,c,b)}c=function(e){return e.id.toString()};
+d=this.getRebuilt().nodeDict[this.primaryId()];b=d.childNodes.map(c);c=d.contentNodes.map(c);return 0===b.length?[]:this.combineContentChildren(d.type,d.role,c,b)};sre.AbstractWalker.prototype.combineContentChildren=goog.abstractMethod;sre.AbstractWalker.prototype.singletonFocus=function(a){return this.focusFromId(a,[a])};sre.AbstractWalker.prototype.focusFromId=function(a,b){return sre.Focus.factory(a,b,this.getRebuilt(),this.node)};
+sre.AbstractWalker.prototype.summary=function(){this.moved=this.isSpeech()?sre.Walker.move.SUMMARY:sre.Walker.move.REPEAT;return this.getFocus().clone()};sre.AbstractWalker.prototype.summary_=function(){var a=this.getFocus().getSemanticPrimary().id.toString();a=this.getRebuilt().xml.getAttribute("id")===a?this.getRebuilt().xml:sre.DomUtil.querySelectorAllByAttrValue(this.getRebuilt().xml,"id",a)[0];a=sre.SpeechGeneratorUtil.retrieveSummary(a);return this.mergePrefix_([a])};
+sre.AbstractWalker.prototype.detail=function(){this.moved=this.isSpeech()?sre.Walker.move.DETAIL:sre.Walker.move.REPEAT;return this.getFocus().clone()};
+sre.AbstractWalker.prototype.detail_=function(){var a=this.getFocus().getSemanticPrimary().id.toString();a=this.getRebuilt().xml.getAttribute("id")===a?this.getRebuilt().xml:sre.DomUtil.querySelectorAllByAttrValue(this.getRebuilt().xml,"id",a)[0];var b=a.getAttribute("alternative");a.removeAttribute("alternative");var c=sre.SpeechGeneratorUtil.computeSpeechWithoutCache(a);c=sre.AuralRendering.getInstance().markup(c);c=this.mergePrefix_([c]);a.setAttribute("alternative",b);return c};
+sre.AbstractWalker.prototype.specialMove=function(){return null};sre.AbstractWalker.prototype.virtualize=function(a){this.cursors.push({focus:this.getFocus(),levels:this.levels,undo:a||!this.cursors.length});this.levels=this.levels.clone();return this.getFocus().clone()};sre.AbstractWalker.prototype.previous=function(){var a=this.cursors.pop();if(!a)return this.getFocus();this.levels=a.levels;return a.focus};
+sre.AbstractWalker.prototype.undo=function(){do var a=this.cursors.pop();while(a&&!a.undo);if(!a)return this.getFocus();this.levels=a.levels;return a.focus};sre.AbstractWalker.prototype.update=function(a){this.generator.setOptions(a);sre.System.getInstance().setupEngine(a);sre.SpeechGeneratorFactory.generator("Tree").getSpeech(this.node,this.getXml())};
+sre.AbstractWalker.prototype.nextRules=function(){var a=this.generator.getOptions();if("speech"!==a.modality)return this.getFocus();sre.Engine.DOMAIN_TO_STYLES[a.domain]=a.style;a.domain="mathspeak"===a.domain?"clearspeak":"mathspeak";a.style=sre.Engine.DOMAIN_TO_STYLES[a.domain];this.update(a);this.moved=sre.Walker.move.REPEAT;return this.getFocus().clone()};
+sre.AbstractWalker.prototype.nextStyle=function(a,b){if("mathspeak"===a){a=["default","brief","sbrief"];var c=a.indexOf(b);return-1===c?b:c>=a.length-1?a[0]:a[c+1]}if("clearspeak"===a){var d=sre.ClearspeakPreferences.getLocalePreferences().en;if(!d)return"default";a=sre.ClearspeakPreferences.relevantPreferences(this.getFocus().getSemanticPrimary());c=sre.ClearspeakPreferences.findPreference(b,a);d=d[a].map(function(e){return e.split("_")[1]});c=d.indexOf(c);return-1===c?b:sre.ClearspeakPreferences.addPreference(b,
+a,c>=d.length-1?d[0]:d[c+1])}return b};sre.AbstractWalker.prototype.previousRules=function(){var a=this.generator.getOptions();if("speech"!==a.modality)return this.getFocus();a.style=this.nextStyle(a.domain,a.style);this.update(a);this.moved=sre.Walker.move.REPEAT;return this.getFocus().clone()};sre.DummyWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d)};goog.inherits(sre.DummyWalker,sre.AbstractWalker);sre.DummyWalker.prototype.up=function(){};sre.DummyWalker.prototype.down=function(){};sre.DummyWalker.prototype.left=function(){};sre.DummyWalker.prototype.right=function(){};sre.DummyWalker.prototype.repeat=function(){};sre.DummyWalker.prototype.depth=function(){};sre.DummyWalker.prototype.home=function(){};sre.DummyWalker.prototype.getDepth=function(){return 0};
+sre.DummyWalker.prototype.initLevels=function(){};sre.SemanticWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d);this.levels=null;this.restoreState()};goog.inherits(sre.SemanticWalker,sre.AbstractWalker);sre.SemanticWalker.prototype.initLevels=function(){var a=new sre.Levels;a.push([this.getFocus()]);return a};
+sre.SemanticWalker.prototype.up=function(){sre.SemanticWalker.superClass_.up.call(this);var a=this.previousLevel();if(!a)return null;this.levels.pop();return this.levels.find(function(b){return b.getSemanticNodes().some(function(c){return c.id.toString()===a})})};sre.SemanticWalker.prototype.down=function(){sre.SemanticWalker.superClass_.down.call(this);var a=this.nextLevel();if(0===a.length)return null;this.levels.push(a);return a[0]};
 sre.SemanticWalker.prototype.combineContentChildren=function(a,b,c,d){switch(a){case sre.SemanticAttr.Type.RELSEQ:case sre.SemanticAttr.Type.INFIXOP:case sre.SemanticAttr.Type.MULTIREL:return this.makePairList(d,c);case sre.SemanticAttr.Type.PREFIXOP:return[this.focusFromId(d[0],c.concat(d))];case sre.SemanticAttr.Type.POSTFIXOP:return[this.focusFromId(d[0],d.concat(c))];case sre.SemanticAttr.Type.MATRIX:case sre.SemanticAttr.Type.VECTOR:case sre.SemanticAttr.Type.FENCED:return[this.focusFromId(d[0],
 [c[0],d[0],c[1]])];case sre.SemanticAttr.Type.CASES:return[this.focusFromId(d[0],[c[0],d[0]])];case sre.SemanticAttr.Type.PUNCTUATED:return b===sre.SemanticAttr.Role.TEXT?d.map(goog.bind(this.singletonFocus,this)):d.length===c.length?c.map(goog.bind(this.singletonFocus,this)):this.combinePunctuations(d,c,[],[]);case sre.SemanticAttr.Type.APPL:return[this.focusFromId(d[0],[d[0],c[0]]),this.singletonFocus(d[1])];case sre.SemanticAttr.Type.ROOT:return[this.singletonFocus(d[1]),this.singletonFocus(d[0])];
 default:return d.map(goog.bind(this.singletonFocus,this))}};sre.SemanticWalker.prototype.combinePunctuations=function(a,b,c,d){if(0===a.length)return d;var e=a.shift(),f=b.shift();if(e===f)return c.push(f),this.combinePunctuations(a,b,c,d);b.unshift(f);c.push(e);if(a.length===b.length)return d.push(this.focusFromId(e,c.concat(b))),d;d.push(this.focusFromId(e,c));return this.combinePunctuations(a,b,[],d)};
-sre.SemanticWalker.prototype.makePairList=function(a,b){if(0===a.length)return[];if(1===a.length)return[this.singletonFocus(a[0])];for(var c=[this.singletonFocus(a.shift())],d=0,e=a.length;d<e;d++)c.push(this.focusFromId(a[d],[b[d],a[d]]));return c};sre.SemanticWalker.prototype.left=function(){sre.SemanticWalker.superClass_.left.call(this);var a=this.levels.indexOf(this.getFocus())-1;return(a=this.levels.get(a))?a:null};
-sre.SemanticWalker.prototype.right=function(){sre.SemanticWalker.superClass_.right.call(this);var a=this.levels.indexOf(this.getFocus())+1;return(a=this.levels.get(a))?a:null};sre.SemanticWalker.prototype.findFocusOnLevel=function(a){return this.levels.find(function(b){return b.getSemanticPrimary().id===a})};sre.SyntaxWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d);this.levels=this.initLevels();this.restoreState()};goog.inherits(sre.SyntaxWalker,sre.AbstractWalker);sre.SyntaxWalker.prototype.initLevels=function(){var a=new sre.Levels;a.push([this.primaryId()]);return a};sre.SyntaxWalker.prototype.up=function(){sre.SyntaxWalker.superClass_.up.call(this);var a=this.previousLevel();if(!a)return null;this.levels.pop();return this.singletonFocus(a)};
+sre.SemanticWalker.prototype.makePairList=function(a,b){if(0===a.length)return[];if(1===a.length)return[this.singletonFocus(a[0])];for(var c=[this.singletonFocus(a.shift())],d=0,e=a.length;d<e;d++)c.push(this.focusFromId(a[d],[b[d],a[d]]));return c};sre.SemanticWalker.prototype.left=function(){sre.SemanticWalker.superClass_.left.call(this);var a=this.levels.indexOf(this.getFocus());return null===a?null:(a=this.levels.get(a-1))?a:null};
+sre.SemanticWalker.prototype.right=function(){sre.SemanticWalker.superClass_.right.call(this);var a=this.levels.indexOf(this.getFocus());return null===a?null:(a=this.levels.get(a+1))?a:null};sre.SemanticWalker.prototype.findFocusOnLevel=function(a){return this.levels.find(function(b){return b.getSemanticPrimary().id===a})};sre.SyntaxWalker=function(a,b,c,d){sre.AbstractWalker.call(this,a,b,c,d);this.levels=null;this.restoreState()};goog.inherits(sre.SyntaxWalker,sre.AbstractWalker);sre.SyntaxWalker.prototype.initLevels=function(){var a=new sre.Levels;a.push([this.primaryId()]);return a};sre.SyntaxWalker.prototype.up=function(){sre.SyntaxWalker.superClass_.up.call(this);var a=this.previousLevel();if(!a)return null;this.levels.pop();return this.singletonFocus(a)};
 sre.SyntaxWalker.prototype.down=function(){sre.SyntaxWalker.superClass_.down.call(this);var a=this.nextLevel();if(0===a.length)return null;var b=this.singletonFocus(a[0]);b&&this.levels.push(a);return b};
 sre.SyntaxWalker.prototype.combineContentChildren=function(a,b,c,d){switch(a){case sre.SemanticAttr.Type.RELSEQ:case sre.SemanticAttr.Type.INFIXOP:case sre.SemanticAttr.Type.MULTIREL:return sre.BaseUtil.interleaveLists(d,c);case sre.SemanticAttr.Type.PREFIXOP:return c.concat(d);case sre.SemanticAttr.Type.POSTFIXOP:return d.concat(c);case sre.SemanticAttr.Type.MATRIX:case sre.SemanticAttr.Type.VECTOR:case sre.SemanticAttr.Type.FENCED:return d.unshift(c[0]),d.push(c[1]),d;case sre.SemanticAttr.Type.CASES:return d.unshift(c[0]),
-d;case sre.SemanticAttr.Type.PUNCTUATED:return b===sre.SemanticAttr.Role.TEXT?sre.BaseUtil.interleaveLists(d,c):d;case sre.SemanticAttr.Type.APPL:return[d[0],c[0],d[1]];case sre.SemanticAttr.Type.ROOT:return[d[1],d[0]];default:return d}};sre.SyntaxWalker.prototype.left=function(){sre.SyntaxWalker.superClass_.left.call(this);var a=this.levels.indexOf(this.primaryId())-1;return(a=this.levels.get(a))?this.singletonFocus(a):null};
-sre.SyntaxWalker.prototype.right=function(){sre.SyntaxWalker.superClass_.right.call(this);var a=this.levels.indexOf(this.primaryId())+1;return(a=this.levels.get(a))?this.singletonFocus(a):null};sre.SyntaxWalker.prototype.findFocusOnLevel=function(a){return this.singletonFocus(a.toString())};sre.TableWalker=function(a,b,c,d){sre.SyntaxWalker.call(this,a,b,c,d);this.modifier=!1;this.keyMapping[sre.EventUtil.KeyCode["0"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["1"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["2"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["3"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["4"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["5"]]=
+d;case sre.SemanticAttr.Type.PUNCTUATED:return b===sre.SemanticAttr.Role.TEXT?sre.BaseUtil.interleaveLists(d,c):d;case sre.SemanticAttr.Type.APPL:return[d[0],c[0],d[1]];case sre.SemanticAttr.Type.ROOT:return[d[1],d[0]];default:return d}};sre.SyntaxWalker.prototype.left=function(){sre.SyntaxWalker.superClass_.left.call(this);var a=this.levels.indexOf(this.primaryId());return null===a?null:(a=this.levels.get(a-1))?this.singletonFocus(a):null};
+sre.SyntaxWalker.prototype.right=function(){sre.SyntaxWalker.superClass_.right.call(this);var a=this.levels.indexOf(this.primaryId());return null===a?null:(a=this.levels.get(a+1))?this.singletonFocus(a):null};sre.SyntaxWalker.prototype.findFocusOnLevel=function(a){return this.singletonFocus(a.toString())};sre.TableWalker=function(a,b,c,d){sre.SyntaxWalker.call(this,a,b,c,d);this.modifier=!1;this.keyMapping[sre.EventUtil.KeyCode["0"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["1"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["2"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["3"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["4"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["5"]]=
 goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["6"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["7"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["8"]]=goog.bind(this.jumpCell,this);this.keyMapping[sre.EventUtil.KeyCode["9"]]=goog.bind(this.jumpCell,this);this.key_=null;this.row_=0;this.firstJump=this.currentTable_=null};goog.inherits(sre.TableWalker,sre.SyntaxWalker);
 sre.TableWalker.prototype.move=function(a){this.key_=a;a=sre.TableWalker.superClass_.move.call(this,a);this.modifier=!1;return a};sre.TableWalker.prototype.up=function(){this.moved=sre.Walker.move.UP;return this.eligibleCell_()?this.verticalMove_(!1):sre.TableWalker.superClass_.up.call(this)};sre.TableWalker.prototype.down=function(){this.moved=sre.Walker.move.DOWN;return this.eligibleCell_()?this.verticalMove_(!0):sre.TableWalker.superClass_.down.call(this)};
 sre.TableWalker.ELIGIBLE_CELL_ROLES=[sre.SemanticAttr.Role.DETERMINANT,sre.SemanticAttr.Role.ROWVECTOR,sre.SemanticAttr.Role.BINOMIAL,sre.SemanticAttr.Role.SQUAREMATRIX,sre.SemanticAttr.Role.MULTILINE,sre.SemanticAttr.Role.MATRIX,sre.SemanticAttr.Role.VECTOR,sre.SemanticAttr.Role.CASES,sre.SemanticAttr.Role.TABLE];sre.TableWalker.ELIGIBLE_TABLE_TYPES=[sre.SemanticAttr.Type.MULTILINE,sre.SemanticAttr.Type.MATRIX,sre.SemanticAttr.Type.VECTOR,sre.SemanticAttr.Type.CASES,sre.SemanticAttr.Type.TABLE];
 sre.TableWalker.prototype.eligibleCell_=function(){var a=this.getFocus().getSemanticPrimary();return this.modifier&&a.type===sre.SemanticAttr.Type.CELL&&-1!==sre.TableWalker.ELIGIBLE_CELL_ROLES.indexOf(a.role)};
 sre.TableWalker.prototype.verticalMove_=function(a){var b=this.previousLevel();if(!b)return null;var c=this.getFocus(),d=this.levels.indexOf(this.primaryId()),e=this.levels.pop();b=this.levels.indexOf(b);a=this.levels.get(a?b+1:b-1);if(!a)return this.levels.push(e),null;this.setFocus(this.singletonFocus(a));a=this.nextLevel();if(!a[d])return this.setFocus(c),this.levels.push(e),null;this.levels.push(a);return this.singletonFocus(a[d])};
-sre.TableWalker.prototype.jumpCell=function(){if(!this.isInTable_())return this.getFocus();if(this.moved===sre.Walker.move.ROW){this.moved=sre.Walker.move.CELL;var a=this.key_-sre.EventUtil.KeyCode["0"];return this.isLegalJump_(this.row_,a)?this.jumpCell_(this.row_,a):this.getFocus()}a=this.key_-sre.EventUtil.KeyCode["0"];if(a>this.currentTable_.childNodes.length)return this.getFocus();this.row_=a;this.moved=sre.Walker.move.ROW;return this.getFocus().clone()};
+sre.TableWalker.prototype.jumpCell=function(){if(!this.isInTable_()||null===this.key_)return this.getFocus();if(this.moved===sre.Walker.move.ROW){this.moved=sre.Walker.move.CELL;var a=this.key_-sre.EventUtil.KeyCode["0"];return this.isLegalJump_(this.row_,a)?this.jumpCell_(this.row_,a):this.getFocus()}a=this.key_-sre.EventUtil.KeyCode["0"];if(a>this.currentTable_.childNodes.length)return this.getFocus();this.row_=a;this.moved=sre.Walker.move.ROW;return this.getFocus().clone()};
 sre.TableWalker.prototype.jumpCell_=function(a,b){this.firstJump?this.virtualize(!1):(this.firstJump=this.getFocus(),this.virtualize(!0));var c=this.currentTable_.id.toString();do var d=this.levels.pop();while(-1===d.indexOf(c));this.levels.push(d);this.setFocus(this.singletonFocus(c));this.levels.push(this.nextLevel());a=this.currentTable_.childNodes[a-1];this.setFocus(this.singletonFocus(a.id.toString()));this.levels.push(this.nextLevel());return this.singletonFocus(a.childNodes[b-1].id.toString())};
-sre.TableWalker.prototype.isLegalJump_=function(a,b){var c=sre.DomUtil.querySelectorAllByAttrValue(this.rebuilt.xml,"id",this.currentTable_.id.toString())[0];if(!c||c.hasAttribute("alternative"))return!1;a=this.currentTable_.childNodes[a-1];if(!a)return!1;c=sre.DomUtil.querySelectorAllByAttrValue(c,"id",a.id.toString())[0];return!c||c.hasAttribute("alternative")?!1:!(!a||!a.childNodes[b-1])};
-sre.TableWalker.prototype.isInTable_=function(){for(var a=this.getFocus().getSemanticPrimary();a;){if(-1!==sre.TableWalker.ELIGIBLE_TABLE_TYPES.indexOf(a.type))return this.currentTable_=a,!0;a=a.parent}return!1};sre.TableWalker.prototype.undo=function(){var a=sre.TableWalker.superClass_.undo.call(this);a===this.firstJump&&(this.firstJump=null);return a};sre.WalkerFactory={};sre.WalkerFactory.walker=function(a,b,c,d,e){return new (sre.WalkerFactory.walkerMapping_[a]||sre.WalkerFactory.walkerMapping_.Dummy)(b,c,d,e)};sre.WalkerFactory.walkerMapping_={Dummy:sre.DummyWalker,Semantic:sre.SemanticWalker,Syntax:sre.SyntaxWalker,Table:sre.TableWalker};sre.System=function(){this.version=sre.Variables.VERSION};goog.addSingletonGetter(sre.System);sre.System.Error=function(a){Error.call(this);this.message=a||"";this.name="System Error"};goog.inherits(sre.System.Error,Error);sre.System.LocalStorage_=function(){this.speechGenerator=this.walker=null};goog.addSingletonGetter(sre.System.LocalStorage_);
-sre.System.prototype.setupEngine=function(a){var b=sre.Engine.getInstance(),c=function(c){b[c]=a[c]||b[c]};c("mode");sre.System.prototype.configBlocks_(a);["strict","cache","semantics","structure"].forEach(function(c){void 0!==a[c]&&(b[c]=!!a[c])});"markup style domain speech walker locale".split(" ").forEach(c);a.json&&(sre.SystemExternal.jsonPath=sre.BaseUtil.makePath(a.json));a.xpath&&(sre.SystemExternal.WGXpath=a.xpath);b.setupBrowsers();b.ruleSets=a.rules?a.rules:sre.SpeechRuleStores.availableSets();
-sre.SpeechRuleEngine.getInstance().parameterize(b.ruleSets);b.dynamicCstr=sre.DynamicCstr.create(b.locale,b.domain,b.style);b.comparator=new sre.DynamicCstr.DefaultComparator(b.dynamicCstr,sre.DynamicProperties.create([sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.LOCALE]],[sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.DOMAIN]],["short",sre.DynamicCstr.DEFAULT_VALUES[sre.DynamicCstr.Axis.STYLE]]));sre.L10n.setLocale()};
-sre.System.prototype.configBlocks_=function(a){if(sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP)for(var b=document.documentElement.querySelectorAll('script[type="text/x-sre-config"]'),c=0,d=b.length;c<d;c++)try{var e=b[c].innerHTML,f=JSON.parse(e),g;for(g in f)a[g]=f[g]}catch(h){sre.Debugger.getInstance().output("Illegal configuration ",e)}};
-sre.System.prototype.toSpeech=function(a){return(a=sre.System.getInstance().parseExpression_(a,sre.Engine.getInstance().semantics))?sre.System.getInstance().processXml(a):""};sre.System.prototype.processExpression=sre.System.prototype.toSpeech;sre.System.prototype.toSemantic=function(a){return sre.System.getInstance().parseExpression_(a,!0)};
-sre.System.prototype.toJson=function(a){if(sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP)throw new sre.System.Error("JSON translation not possible in browser.");return(a=sre.System.getInstance().parseExpression_(a,!0))?sre.SystemExternal.xm.tojson(a.toString()):{}};sre.System.prototype.toDescription=function(a){return(a=sre.System.getInstance().parseExpression_(a,sre.Engine.getInstance().semantics))?sre.SpeechGeneratorUtil.computeSpeech(a):[]};
-sre.System.prototype.toEnriched=function(a){a=sre.Enrich.semanticMathmlSync(a);var b=sre.WalkerUtil.getSemanticRoot(a);switch(sre.Engine.getInstance().speech){case sre.Engine.Speech.SHALLOW:var c=sre.SpeechGeneratorFactory.generator("Adhoc");c.getSpeech(b,a);break;case sre.Engine.Speech.DEEP:c=sre.SpeechGeneratorFactory.generator("Tree"),c.getSpeech(b,a)}return a};sre.System.prototype.fileToSpeech=function(a,b){sre.System.getInstance().processFile_(sre.System.getInstance().toSpeech,a,b)};
-sre.System.prototype.processFile=sre.System.prototype.fileToSpeech;sre.System.prototype.fileToSemantic=function(a,b){sre.System.getInstance().processFile_(function(a){return sre.System.getInstance().toSemantic(a).toString()},a,b)};sre.System.prototype.fileToJson=function(a,b){sre.System.getInstance().processFile_(function(a){return JSON.stringify(sre.System.getInstance().toJson(a))},a,b)};
-sre.System.prototype.fileToDescription=function(a,b){sre.System.getInstance().processFile_(function(a){return JSON.stringify(sre.System.getInstance().toDescription(a))},a,b)};sre.System.prototype.fileToEnriched=function(a,b){sre.System.getInstance().processFile_(function(a){return sre.System.getInstance().toEnriched(a).toString()},a,b)};sre.System.prototype.processXml=function(a){a=sre.SpeechGeneratorUtil.computeSpeech(a);return sre.AuralRendering.getInstance().markup(a)};
-sre.System.prototype.parseExpression_=function(a,b){var c=null;try{c=sre.DomUtil.parseInput(a,sre.System.Error),b&&(c=sre.System.getInstance().getSemanticTree(c)),sre.Debugger.getInstance().generateOutput(goog.bind(function(){return c.toString()},this))}catch(d){console.log("Parse Error: "+d.message)}return c};sre.System.prototype.getSemanticTree=function(a){return sre.Semantic.xmlTree(a)};
-sre.System.prototype.processFile_=function(a,b,c){sre.Engine.isReady()?sre.Engine.getInstance().mode===sre.Engine.Mode.SYNC?this.processFileSync_(a,b,c):this.processFileAsync_(a,b,c):setTimeout(goog.bind(function(){this.processFile_(a,b,c)},this),100)};sre.System.prototype.inputFileSync_=function(a){try{var b=sre.SystemExternal.fs.readFileSync(a,{encoding:"utf8"})}catch(c){throw new sre.System.Error("Can not open file: "+a);}return b};
-sre.System.prototype.processFileSync_=function(a,b,c){b=sre.System.getInstance().inputFileSync_(b);a=a(b);if(c)try{sre.SystemExternal.fs.writeFileSync(c,a,function(){})}catch(d){throw new sre.System.Error("Can not write to file: "+c);}else console.log(a)};sre.System.prototype.inputFileAsync_=function(a,b){sre.SystemExternal.fs.readFile(a,{encoding:"utf8"},goog.bind(function(c,d){if(c)throw new sre.System.Error("Can not open file: "+a);b(d)},this))};
-sre.System.prototype.processFileAsync_=function(a,b,c){sre.System.getInstance().inputFileAsync_(b,goog.bind(function(b){b=a(b);c?sre.SystemExternal.fs.writeFile(c,b,function(a){if(a)throw new sre.System.Error("Can not write to file: "+c);}):console.log(b)},this))};
-sre.System.prototype.walk=function(a){var b=sre.SpeechGeneratorFactory.generator("Node");sre.System.LocalStorage_.getInstance().speechGenerator=b;var c=sre.HighlighterFactory.highlighter({color:"black"},{color:"white"},{renderer:"NativeMML"});a=sre.System.getInstance().toEnriched(a);var d=(new sre.SystemExternal.xmldom.XMLSerializer).serializeToString(a);sre.System.LocalStorage_.getInstance().walker=sre.WalkerFactory.walker(sre.Engine.getInstance().walker,a,b,c,d);return sre.System.LocalStorage_.getInstance().walker.speech()};
-sre.System.prototype.move=function(a){if(!sre.System.LocalStorage_.getInstance().walker)return null;var b="string"===typeof a?sre.EventUtil.KeyCode[a.toUpperCase()]:a;return!1===sre.System.LocalStorage_.getInstance().walker.move(b)?sre.AuralRendering.getInstance().error(a):sre.System.LocalStorage_.getInstance().walker.speech()};sre.Mathjax={};
+sre.TableWalker.prototype.isLegalJump_=function(a,b){var c=sre.DomUtil.querySelectorAllByAttrValue(this.getRebuilt().xml,"id",this.currentTable_.id.toString())[0];if(!c||c.hasAttribute("alternative"))return!1;a=this.currentTable_.childNodes[a-1];if(!a)return!1;c=sre.DomUtil.querySelectorAllByAttrValue(c,"id",a.id.toString())[0];return!c||c.hasAttribute("alternative")?!1:!(!a||!a.childNodes[b-1])};
+sre.TableWalker.prototype.isInTable_=function(){for(var a=this.getFocus().getSemanticPrimary();a;){if(-1!==sre.TableWalker.ELIGIBLE_TABLE_TYPES.indexOf(a.type))return this.currentTable_=a,!0;a=a.parent}return!1};sre.TableWalker.prototype.undo=function(){var a=sre.TableWalker.superClass_.undo.call(this);a===this.firstJump&&(this.firstJump=null);return a};sre.WalkerFactory={};sre.WalkerFactory.walker=function(a,b,c,d,e){return new (sre.WalkerFactory.walkerMapping_[a.toLowerCase()]||sre.WalkerFactory.walkerMapping_.dummy)(b,c,d,e)};sre.WalkerFactory.walkerMapping_={dummy:sre.DummyWalker,semantic:sre.SemanticWalker,syntax:sre.SyntaxWalker,table:sre.TableWalker};sre.ProcessorFactory={};sre.ProcessorFactory.PROCESSORS_={};sre.ProcessorFactory.get_=function(a){var b=sre.ProcessorFactory.PROCESSORS_[a.toLowerCase()];if(!b)throw new sre.Engine.Error("Unknown processor "+a);return b};sre.ProcessorFactory.process=function(a,b){return sre.ProcessorFactory.get_(a).processor(b)};sre.ProcessorFactory.print=function(a,b){a=sre.ProcessorFactory.get_(a);return sre.Engine.getInstance().pprint?a.pprint(b):a.print(b)};
+sre.ProcessorFactory.output=function(a,b){a=sre.ProcessorFactory.get_(a);b=a.processor(b);return sre.Engine.getInstance().pprint?a.pprint(b):a.print(b)};sre.ProcessorFactory.keypress=function(a,b){a=sre.ProcessorFactory.get_(a);b=a.key?a.key(b):b;b=a.processor(b);return sre.Engine.getInstance().pprint?a.pprint(b):a.print(b)};
+sre.Processor=function(a,b){this.name=a;this.processor=b.processor;this.print=b.print||sre.Processor.stringify_;this.pprint=b.pprint||this.print;sre.ProcessorFactory.PROCESSORS_[this.name]=this};sre.KeyProcessor=function(a,b){sre.Processor.call(this,a,b);this.key=b.key||sre.KeyProcessor.getKey_};goog.inherits(sre.KeyProcessor,sre.Processor);sre.KeyProcessor.getKey_=function(a){return"string"===typeof a?sre.EventUtil.KeyCode[a.toUpperCase()]:a};
+sre.Processor.LocalState_={walker:null,speechGenerator:null,highlighter:null};sre.Processor.stringify_=function(a){return a?a.toString():a};new sre.Processor("semantic",{processor:function(a){a=sre.DomUtil.parseInput(a);return sre.Semantic.xmlTree(a)},pprint:function(a){return sre.DomUtil.formatXml(a.toString())}});
+new sre.Processor("speech",{processor:function(a){a=sre.DomUtil.parseInput(a);a=sre.Semantic.xmlTree(a);a=sre.SpeechGeneratorUtil.computeSpeech(a);var b=sre.AuralRendering.getInstance();return b.finalize(b.markup(a))},pprint:function(a){a=a.toString();return sre.AuralRendering.ofType(sre.XmlRenderer)?sre.DomUtil.formatXml(a):a}});
+new sre.Processor("json",{processor:function(a){a=sre.DomUtil.parseInput(a,sre.Engine.Error);return sre.Semantic.getTree(a).toJson()},print:function(a){return JSON.stringify(a)},pprint:function(a){return JSON.stringify(a,null,2)}});new sre.Processor("description",{processor:function(a){a=sre.DomUtil.parseInput(a);a=sre.Semantic.xmlTree(a);return sre.SpeechGeneratorUtil.computeSpeech(a)},print:function(a){return JSON.stringify(a)},pprint:function(a){return JSON.stringify(a,null,2)}});
+new sre.Processor("enriched",{processor:function(a){a=sre.Enrich.semanticMathmlSync(a);var b=sre.WalkerUtil.getSemanticRoot(a);switch(sre.Engine.getInstance().speech){case sre.Engine.Speech.SHALLOW:var c=sre.SpeechGeneratorFactory.generator("Adhoc");c.getSpeech(b,a);break;case sre.Engine.Speech.DEEP:c=sre.SpeechGeneratorFactory.generator("Tree"),c.getSpeech(b,a)}return a},pprint:function(a){return sre.DomUtil.formatXml(a.toString())}});
+new sre.Processor("walker",{processor:function(a){var b=sre.SpeechGeneratorFactory.generator("Node");sre.Processor.LocalState_.speechGenerator=b;sre.Processor.LocalState_.highlighter=sre.HighlighterFactory.highlighter({color:"black"},{color:"white"},{renderer:"NativeMML"});a=sre.ProcessorFactory.process("enriched",a);var c=sre.ProcessorFactory.print("enriched",a);sre.Processor.LocalState_.walker=sre.WalkerFactory.walker(sre.Engine.getInstance().walker,a,b,sre.Processor.LocalState_.highlighter,c);
+return sre.Processor.LocalState_.walker},print:function(a){return sre.Processor.LocalState_.walker.speech()}});new sre.KeyProcessor("move",{processor:function(a){return sre.Processor.LocalState_.walker?!1===sre.Processor.LocalState_.walker.move(a)?sre.AuralRendering.getInstance().error(a):sre.Processor.LocalState_.walker.speech():null}});sre.System=function(){this.version=sre.Variables.VERSION};goog.addSingletonGetter(sre.System);
+sre.System.prototype.setupEngine=function(a){var b=sre.Engine.getInstance(),c=function(d){b[d]=a[d]||b[d]};c("mode");sre.System.prototype.configBlocks_(a);sre.Engine.BINARY_FEATURES.forEach(function(d){"undefined"!==typeof a[d]&&(b[d]=!!a[d])});sre.Engine.STRING_FEATURES.forEach(c);a.json&&(sre.SystemExternal.jsonPath=sre.BaseUtil.makePath(a.json));a.xpath&&(sre.SystemExternal.WGXpath=a.xpath);b.setupBrowsers();b.ruleSets=a.rules?a.rules:sre.SpeechRuleStores.availableSets();sre.SpeechRuleEngine.getInstance().parameterize(b.ruleSets);
+b.setDynamicCstr();sre.L10n.setLocale()};sre.System.prototype.configBlocks_=function(a){if(!sre.Engine.getInstance().config&&sre.Engine.getInstance().mode===sre.Engine.Mode.HTTP){sre.Engine.getInstance().config=!0;for(var b=document.documentElement.querySelectorAll('script[type="text/x-sre-config"]'),c=0,d=b.length;c<d;c++)try{var e=b[c].innerHTML,f=JSON.parse(e),g;for(g in f)a[g]=f[g]}catch(h){sre.Debugger.getInstance().output("Illegal configuration ",e)}}};
+sre.System.setAsync=function(){sre.Engine.isReady()||setTimeout(sre.System.setAsync,500);sre.System.getInstance().setupEngine({mode:sre.Engine.Mode.ASYNC})};sre.System.prototype.engineSetup=function(){var a=["mode"].concat(sre.Engine.STRING_FEATURES,sre.Engine.BINARY_FEATURES),b=sre.Engine.getInstance(),c={};a.forEach(function(d){c[d]=b[d]});c.json=sre.SystemExternal.jsonPath;c.xpath=sre.SystemExternal.WGXpath;c.rules=b.ruleSets.slice();return c};sre.System.prototype.engineReady=function(){return sre.Engine.isReady()};
+sre.System.prototype.toSpeech=function(a){return sre.System.getInstance().processString("speech",a)};sre.System.prototype.toSemantic=function(a){return sre.System.getInstance().processString("semantic",a)};sre.System.prototype.toJson=function(a){return sre.System.getInstance().processString("json",a)};sre.System.prototype.toDescription=function(a){return sre.System.getInstance().processString("description",a)};
+sre.System.prototype.toEnriched=function(a){return sre.System.getInstance().processString("enriched",a)};sre.System.prototype.processString=function(a,b){return sre.ProcessorFactory.process(a,b)};sre.System.prototype.fileToSpeech=function(a,b){sre.System.getInstance().processFile("speech",a,b)};sre.System.prototype.fileToSemantic=function(a,b){sre.System.getInstance().processFile("semantic",a,b)};sre.System.prototype.fileToJson=function(a,b){sre.System.getInstance().processFile("json",a,b)};
+sre.System.prototype.fileToDescription=function(a,b){sre.System.getInstance().processFile("description",a,b)};sre.System.prototype.fileToEnriched=function(a,b){sre.System.getInstance().processFile("enriched",a,b)};sre.System.prototype.processFile=function(a,b,c){sre.Engine.isReady()?sre.Engine.getInstance().mode===sre.Engine.Mode.SYNC?this.processFileSync_(a,b,c):this.processFileAsync_(a,b,c):setTimeout(goog.bind(function(){this.processFile(a,b,c)},this),100)};
+sre.System.prototype.inputFileSync_=function(a){try{var b=sre.SystemExternal.fs.readFileSync(a,{encoding:"utf8"})}catch(c){throw new sre.Engine.Error("Can not open file: "+a);}return b};sre.System.prototype.processFileSync_=function(a,b,c){b=sre.System.getInstance().inputFileSync_(b);a=sre.ProcessorFactory.output(a,b);if(c)try{sre.SystemExternal.fs.writeFileSync(c,a)}catch(d){throw new sre.Engine.Error("Can not write to file: "+c);}else console.info(a)};
+sre.System.prototype.inputFileAsync_=function(a,b){sre.SystemExternal.fs.readFile(a,{encoding:"utf8"},goog.bind(function(c,d){if(c)throw new sre.Engine.Error("Can not open file: "+a);b(d)},this))};sre.System.prototype.processFileAsync_=function(a,b,c){sre.System.getInstance().inputFileAsync_(b,goog.bind(function(d){d=sre.ProcessorFactory.output(a,d);c?sre.SystemExternal.fs.writeFile(c,d,function(e){if(e)throw new sre.Engine.Error("Can not write to file: "+c);}):console.info(d)},this))};
+sre.System.prototype.walk=function(a){return sre.ProcessorFactory.output("walker",a)};sre.System.prototype.move=function(a){return sre.ProcessorFactory.keypress("move",a)};sre.Mathjax={};
 (function(){var a=sre.System.getInstance(),b=MathJax.Callback.Signal("Sre");MathJax.Extension.Sre={version:a.version,signal:b,ConfigSre:function(){sre.Engine.isReady()?MathJax.Callback.Queue(MathJax.Hub.Register.StartupHook("mml Jax Ready",{}),["Post",MathJax.Hub.Startup.signal,"Sre Ready"]):setTimeout(MathJax.Extension.Sre.ConfigSre,500)}};sre.System.getInstance().setupEngine({mode:sre.Engine.Mode.HTTP,json:MathJax.Ajax.config.path.SRE+"/mathmaps",xpath:MathJax.Ajax.config.path.SRE+"/wgxpath.install.js",
 semantics:!0});MathJax.Extension.Sre.ConfigSre()})();
 
diff --git a/unpacked/extensions/a11y/mathmaps/de.js b/unpacked/extensions/a11y/mathmaps/de.js
new file mode 100644
index 0000000000..6411397842
--- /dev/null
+++ b/unpacked/extensions/a11y/mathmaps/de.js
@@ -0,0 +1,104 @@
+{
+"de/functions/algebra.js": 
+[{"locale":"de"},{"category":"Algebra","mappings":{"default":{"default":"Grad"}},"key":"deg","names":["deg"]},{"key":"det","mappings":{"default":{"default":"Determinante"}},"category":"Algebra","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"Dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"Homomorphismus"},"mathspeak":{"default":"hom"},"clearspeak":{"default":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"Kern"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"Spur"}},"key":"Tr","names":["Tr","tr"]}]
+,
+"de/functions/elementary.js": 
+[{"locale":"de"},{"key":"log","mappings":{"default":{"default":"Logarithmus"}},"category":"Logarithm","names":["log"]},{"key":"ln","mappings":{"default":{"default":"natürlicher Logarithmus"}},"category":"Logarithm","names":["ln"]},{"category":"Logarithm","mappings":{"default":{"default":"Logarithmus zur Basis 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"Exponent"},"mathspeak":{"default":"exp"},"clearspeak":{"default":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"größter gemeinsamer Teiler"},"mathspeak":{"default":"ggt"},"clearspeak":{"default":"ggt"}},"key":"gcd","names":["gcd","ggt","ggT"]},{"category":"Elementary","mappings":{"default":{"default":"kleinstes gemeinsames Vielfaches"},"mathspeak":{"default":"kgv"},"clearspeak":{"default":"kgv"}},"key":"lcm","names":["lcm","kgv","kgV"]},{"category":"Complex","mappings":{"default":{"default":"Argument"}},"key":"arg","names":["arg"]},{"key":"im","mappings":{"default":{"default":"der Imaginärteil der komplexen Zahl"}},"category":"Complex","names":["im"]},{"key":"re","mappings":{"default":{"default":"der Realteil der komplexen Zahl"}},"category":"Complex","names":["re"]},{"key":"mod","mappings":{"default":{"default":"modulo"}},"category":"Elementary","names":["mod"]},{"category":"Limits","mappings":{"default":{"default":"Infimum"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"Limes"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"Limes inferior"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"Limes superior"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"Maximum"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"Minimum"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"Supremum"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"Colimes"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projektiver Limes"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Probability","mappings":{"default":{"default":"Wahrscheinlichkeit"}},"key":"Pr","names":["Pr"]}]
+,
+"de/functions/hyperbolic.js": 
+[{"locale":"de"},{"key":"cosh","mappings":{"default":{"default":"Kosinus hyperbolicus"}},"category":"Hyperbolic","names":["cosh"]},{"key":"coth","mappings":{"default":{"default":"Kotangens hyperbolicus"}},"category":"Hyperbolic","names":["coth"]},{"key":"csch","mappings":{"default":{"default":"Kosekans hyperbolicus"}},"category":"Hyperbolic","names":["csch"]},{"key":"sech","mappings":{"default":{"default":"Sekans hyperbolicus"}},"category":"Hyperbolic","names":["sech"]},{"key":"sinh","mappings":{"default":{"default":"Sinus hyperbolicus"}},"category":"Hyperbolic","names":["sinh"]},{"key":"tanh","mappings":{"default":{"default":"Tangens hyperbolicus"}},"category":"Hyperbolic","names":["tanh"]},{"key":"arcosh","mappings":{"default":{"default":"Areakosinus hyperbolicus"}},"category":"Area","names":["arcosh","arccosh"]},{"key":"arcoth","mappings":{"default":{"default":"Areakotangens hyperbolicus"}},"category":"Area","names":["arcoth","arccoth"]},{"key":"arcsch","mappings":{"default":{"default":"Areakosekans hyperbolicus"}},"category":"Area","names":["arcsch","arccsch"]},{"key":"arsech","mappings":{"default":{"default":"Areasekans hyperbolicus"}},"category":"Area","names":["arsech","arcsech"]},{"key":"arsinh","mappings":{"default":{"default":"Areasinus hyperbolicus"}},"category":"Area","names":["arsinh","arcsinh"]},{"key":"artanh","mappings":{"default":{"default":"Areatangens hyperbolicus "}},"category":"Area","names":["artanh","arctanh"]}]
+,
+"de/functions/trigonometry.js": 
+[{"locale":"de"},{"key":"cos","mappings":{"default":{"default":"Kosinus"}},"category":"Trigonometric","names":["cos","cosine"]},{"key":"cot","mappings":{"default":{"default":"Kotangens"}},"category":"Trigonometric","names":["cot"]},{"key":"csc","mappings":{"default":{"default":"Kosekans"}},"category":"Trigonometric","names":["csc"]},{"key":"sec","mappings":{"default":{"default":"Sekans"}},"category":"Trigonometric","names":["sec"]},{"key":"sin","mappings":{"default":{"default":"Sinus"}},"category":"Trigonometric","names":["sin","sine"]},{"key":"tan","mappings":{"default":{"default":"Tangens"}},"category":"Trigonometric","names":["tan"]},{"key":"arccos","mappings":{"default":{"default":"Arkuskosinus"},"clearspeak":{"Trig_TrigInverse":"inverser Kosinus"}},"category":"Cyclometric","names":["arccos"]},{"key":"arccot","mappings":{"default":{"default":"Arkuskotangens"},"clearspeak":{"Trig_TrigInverse":"inverser Kotangens"}},"category":"Cyclometric","names":["arccot"]},{"key":"arccsc","mappings":{"default":{"default":"Arkuskosekans"},"clearspeak":{"Trig_TrigInverse":"inverser Kosekans"}},"category":"Cyclometric","names":["arccsc"]},{"key":"arcsec","mappings":{"default":{"default":"Arkussekans"},"clearspeak":{"Trig_TrigInverse":"inverser Sekans"}},"category":"Cyclometric","names":["arcsec"]},{"key":"arcsin","mappings":{"default":{"default":"Arkussinus"},"clearspeak":{"Trig_TrigInverse":"inverser Sinus"}},"category":"Cyclometric","names":["arcsin"]},{"key":"arctan","mappings":{"default":{"default":"Arkustangens"},"clearspeak":{"Trig_TrigInverse":"inverser Tangens"}},"category":"Cyclometric","names":["arctan"]}]
+,
+"de/symbols/digits_rest.js": 
+[{"locale":"de"},{"key":"00B2","mappings":{"default":{"default":"Quadrat"},"clearspeak":{"Exponent_Exponent":"mit Exponent 2","Exponent_OrdinalPower":"zur zweiten Potenz"}},"category":"No"},{"key":"00B3","mappings":{"default":{"default":"Kubik"},"clearspeak":{"Exponent_Exponent":"mit Exponent 3","Exponent_OrdinalPower":"zur dritten Potenz"}},"category":"No"},{"key":"00BC","mappings":{"default":{"default":"ein Viertel"}},"category":"No"},{"key":"00BD","mappings":{"default":{"default":"ein Halb"}},"category":"No"},{"key":"00BE","mappings":{"default":{"default":"drei Viertel"}},"category":"No"},{"category":"No","key":"2150","mappings":{"default":{"default":"ein siebtel"}}},{"category":"No","key":"2151","mappings":{"default":{"default":"ein neuntel"}}},{"category":"No","key":"2152","mappings":{"default":{"default":"ein zehntel"}}},{"category":"No","key":"2153","mappings":{"default":{"default":"ein drittel"}}},{"category":"No","key":"2154","mappings":{"default":{"default":"zwei drittel"}}},{"category":"No","key":"2155","mappings":{"default":{"default":"ein fünftel"}}},{"category":"No","key":"2156","mappings":{"default":{"default":"zwei fünftel"}}},{"category":"No","key":"2157","mappings":{"default":{"default":"drei fünftel"}}},{"category":"No","key":"2158","mappings":{"default":{"default":"vier fünftel"}}},{"category":"No","key":"2159","mappings":{"default":{"default":"ein sechstel"}}},{"category":"No","key":"215A","mappings":{"default":{"default":"fünf sechstel"}}},{"category":"No","key":"215B","mappings":{"default":{"default":"ein achtel"}}},{"category":"No","key":"215C","mappings":{"default":{"default":"drei achtel"}}},{"category":"No","key":"215D","mappings":{"default":{"default":"fünf achtel"}}},{"category":"No","key":"215E","mappings":{"default":{"default":"sieben achtel"}}},{"category":"No","key":"215F","mappings":{"default":{"default":"Bruchzähler eins"}}},{"category":"No","key":"2189","mappings":{"default":{"default":"null drittel"}}},{"category":"No","key":"3248","mappings":{"default":{"default":"eingekreiste Zehn auf schwarzem Quadrat"}}},{"category":"No","key":"3249","mappings":{"default":{"default":"eingekreiste Zwanzig auf schwarzem Quadrat"}}},{"category":"No","key":"324A","mappings":{"default":{"default":"eingekreiste Dreißig auf schwarzem Quadrat"}}},{"category":"No","key":"324B","mappings":{"default":{"default":"eingekreiste Vierzig auf schwarzem Quadrat"}}},{"category":"No","key":"324C","mappings":{"default":{"default":"eingekreiste Fünfzig auf schwarzem Quadrat"}}},{"category":"No","key":"324D","mappings":{"default":{"default":"eingekreiste Sechzig auf schwarzem Quadrat"}}},{"category":"No","key":"324E","mappings":{"default":{"default":"eingekreiste Siebzig auf schwarzem Quadrat"}}},{"category":"No","key":"324F","mappings":{"default":{"default":"eingekreiste Achtzig auf schwarzem Quadrat"}}}]
+,
+"de/symbols/greek-rest.js": 
+[{"locale":"de"},{"key":"0394","mappings":{"clearspeak":{"default":"Dreieck","TriangleSymbol_Delta":"großes Delta"}},"category":"Lu"}]
+,
+"de/symbols/greek-scripts.js": 
+[{"locale":"de"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"Kapitälchen Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"Kapitälchen Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"Kapitälchen Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"Kapitälchen Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"Kapitälchen Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"hochgestelltes gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"hochgestelltes phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"tiefgestelltes beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"tiefgestelltes gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"tiefgestelltes rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"tiefgestelltes phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"tiefgestelltes chi"}}}]
+,
+"de/symbols/greek-symbols.js": 
+[{"locale":"de"},{"category":"Ll","key":"03D0","mappings":{"default":{"default":"beta"}}},{"category":"Ll","key":"03D7","mappings":{"default":{"default":"kai"}}},{"category":"Sm","key":"03F6","mappings":{"default":{"default":"umgekehrtes epsilon"}}},{"category":"Lu","key":"1D7CA","mappings":{"default":{"default":"fettes großes Digamma"}}},{"category":"Ll","key":"1D7CB","mappings":{"default":{"default":"fettes digamma"}}}]
+,
+"de/symbols/hebrew_letters.js": 
+[{"locale":"de"},{"category":"Lo","key":"2135","mappings":{"default":{"default":"Alef-Symbol"}}},{"category":"Lo","key":"2136","mappings":{"default":{"default":"Bet-Symbol"}}},{"category":"Lo","key":"2137","mappings":{"default":{"default":"Gimel-Symbol"}}},{"category":"Lo","key":"2138","mappings":{"default":{"default":"Dalet-Symbol"}}}]
+,
+"de/symbols/latin-lower-double-accent.js": 
+[{"locale":"de"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u mit Diärese und Makron"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u mit Diärese und Akut"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u mit Diärese und Caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u mit Diärese und Grab"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a mit Diärese und Makron"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a mit Dot Above und Makron"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o mit Ogonek und Makron"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a mit Ring oben und akut"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o mit Diärese und Makron"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o mit Tilde und Makron"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o mit Punkt oben und Makron"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"c mit Cedilla und Akut"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"e mit Makron und Grab"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"e mit Makron und Akut"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"e mit Cedilla und Breve"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"i mit Diärese und Akut"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"l mit Punkt unten und Makron"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"o mit Tilde und Akut"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"o mit Tilde und Diärese"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"o mit Makron und Grab"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"o mit Makron und Akut"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"r mit Punkt unten und Makron"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"s mit Akute und Punkt oben"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"s mit Caron und Punkt oben"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"s mit Punkt unten und Punkt oben"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"u mit Tilde und Akut"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"u mit Makron und Diärese"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"a mit Zirkumflex und Akut"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"a mit Zirkumflex und Grab"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"a mit Zirkumflex und Haken oben"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"a mit Zirkumflex und Tilde"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"a mit Zirkumflex und Punkt darunter"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"a mit Breve und Akut"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"a mit Breve und Grab"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"a mit Breve und Haken oben"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"a mit Breve und Tilde"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"a mit Breve und Dot Below"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"e mit Zirkumflex und Akut"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"e mit Zirkumflex und Grab"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"e mit Zirkumflex und Haken oben"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"e mit Zirkumflex und Tilde"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"e mit Zirkumflex und Punkt darunter"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"o mit Zirkumflex und Akut"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"o mit Zirkumflex und Grab"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"o mit Zirkumflex und Haken oben"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"o mit Zirkumflex und Tilde"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"o mit Zirkumflex und Punkt darunter"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"o mit Horn und Akut"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"o mit Horn und Grab"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"o mit Horn und Haken oben"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"o mit Horn und Tilde"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"o mit Horn und Punkt"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"u mit Horn und Akut"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"u mit Horn und Grab"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"u mit Horn und Haken oben"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"u mit Horn und Tilde"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"u mit Horn und Punkt"}}}]
+,
+"de/symbols/latin-lower-phonetic.js": 
+[{"locale":"de"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"o mit Strich"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"d mit Strich"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"h mit Strich"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"l mit Strich"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"t mit Strich"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b mit Strich"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"lambda mit Strich"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z mit Strich"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"umgekehrter Glottalanschlag mit Strich"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g mit Strich"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o mit Strich und Akut"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c mit Strich"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"e mit Strich"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j mit Strich"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"r mit Strich"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y mit Strich"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"punktloses j mit Strich"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i mit Strich"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"punktloses j mit Strich und Haken"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"Glottalanschlag mit Strich"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"umgekehrter Glottalanschlag mit Strich"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"liegendes O mit Strich"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota mit Strich"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p mit Strich"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon mit Strich"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"lang mit diagonalem Anschlag"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"lang S mit hohem Hub"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"wurde Delta gedreht"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"lang mit Punkt oben"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta"}}},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"category":"Ll","key":"017F","mappings":{"default":{"default":"lang S"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b mit Oberleiste"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"ton sechs"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c mit Haken"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d mit Oberleiste"}}},{"key":"0192","mappings":{"default":{"default":"f mit Haken"}},"category":"Ll"},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k mit Haken"}}},{"key":"019A","mappings":{"default":{"default":"l mit Strich"}},"category":"Ll"},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n mit langem rechtem Bein"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o mit Horn"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p mit Haken"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"ton zwei"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"umgedrehte esh Schleife"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t mit palatal Haken"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t mit Haken"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u mit Horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y mit Haken"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"umgekehrtes ezh"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ezh mit Schwanz"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"ton fünf"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz mit Caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae mit Makron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ezh mit Caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lezh"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"ezh mit Kringel"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"dezh Digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"gedreht E"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae mit Akut"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d mit Kringel"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z mit Haken"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l mit Kringel"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n mit Kringel"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t mit Kringel"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"db"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"qp Digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s mit Swash Tail"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z mit Swash Tail"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"Glottalanschlag"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q mit Hakenschwanz"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"gedreht A"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"gedrehtes Alpha"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b mit Haken"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"open O"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c mit Kringel"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d mit Schwanz"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d mit Haken"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"umgedreht E"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"schwa mit Haken"}}},{"key":"025B","mappings":{"default":{"default":"offenes e"}},"category":"Ll"},{"category":"Ll","key":"025C","mappings":{"default":{"default":"umgedrehtes offenes e"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"umgekehrtes offenes e mit Haken"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"umgekehrtes geschlossenes epsilon"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g mit Haken"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"g"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"mini gamma"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"gedrehtes h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h mit Haken"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"h mit Haken"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l mit mittlerer Tilde"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l mit Gurt"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"l mit Retroflexhaken"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"gedreht M"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"gedrehtes M mit langem Bein"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m mit Haken"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n mit linkem Haken"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n mit Retroflexhaken"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"o mit balken"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"geschlossenes omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"gedrehtes r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"gedrehtes r mit langem Bein"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"gedrehtes r mit langem Bein und Haken"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"r mit langem Bein"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"r mit Endstück"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"r mit Angelhaken"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"umgedrehtes R mit Angelhaken"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"s mit Haken"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"squat umgekehrt"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"esh mit Kringel"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"gedreht T"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"t mit Retroflexhaken"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"u Bar"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"v mit Haken"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"gedrehtes v"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"gedrehtes w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"gedrehtes y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"z mit Retroflexhaken"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z mit Kringel"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"pharyngales stimmhaft Frikativ"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"invertierter Glottalanschlag"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"gestrecktes C"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"bilabialer Klick"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"geschlossenes offenes e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"gedrehtes k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q mit Haken"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"dz Digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"dz Digraph mit Kringel"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"ts Digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"tesh Digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"tc Digraph mit Kringel"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"feng Digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"ls Digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"lz Digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"bilabiales Perkussiv"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"bidentales Perkussiv"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"gedrehtes h mit Angelhaken"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"gedrehtes h mit Angelhaken und Schwanz"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"gedrehtes ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"gedrehtes e"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"gedrehtes i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"liegendes O"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"liegendes geöffnet O"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"gedreht Oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"obere Hälfte O"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"untere Hälfte O"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"liegendes U"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"liegendes u Umlaut"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"liegendes m"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"stimmhaft laryngaler Frikativ"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"Ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"b mit mittlerer Tilde"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"d mit mittlerer Tilde"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"f mit mittlerer Tilde"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"m mit mittlerer Tilde"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"n mit mittlerer Tilde"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"p mit mittlerer Tilde"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"r mit mittlerer Tilde"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"r mit Angelhaken und mittlerer Tilde"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"s mit mittlerer Tilde"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"t mit mittlerer Tilde"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z mit mittlerer Tilde"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"gedreht G"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"insular G"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th mit Durchgestrichen"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"b mit Palatalhaken"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"d mit Palatalhaken"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"f mit Palatalhaken"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"g mit Palatalhaken"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"k mit Palatalhaken"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"l mit Palatalhaken"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"m mit Palatalhaken"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"n mit Palatalhaken"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"p mit Palatalhaken"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"r mit Palatalhaken"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"s mit Palatalhaken"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"esh mit Palatalhaken"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"v mit Palatalhaken"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"x mit Palatalhaken"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"z mit Palatalhaken"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a mit Retroflexhaken"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"alpha mit Retroflexhaken"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"d mit Haken und Schwanz"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"e mit Retroflexhaken"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"offenes e mit Retroflexhaken"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"umgedrehtes offenes e mit Retroflexhaken"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"schwa mit Retroflexhaken"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"i mit Retroflexhaken"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"offenes o mit Retroflexhaken"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"esh mit Retroflexhaken"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"u mit Retroflexhaken"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"ezh mit Retroflexhaken"}}},{"key":"0149","mappings":{"default":{"default":"n mit Apostroph davor"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
+,
+"de/symbols/latin-lower-single-accent.js": 
+[{"locale":"de"},{"key":"00E0","mappings":{"default":{"default":"a mit Grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a mit Aigu"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a mit Zirkumflex"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a mit Tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a mit Diärese"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a mit Ring darüber"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c mit Cedille"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e mit Grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e mit Aigu"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e mit Zirkumflex"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e mit Diärese"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i mit Grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i mit Aigu"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i mit Zirkumflex"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i mit Diärese"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"n mit Tilde"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o mit Grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o mit Aigu"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o mit Zirkumflex"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o mit Tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o mit Diärese"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u mit Grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u mit Aigu"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u mit Zirkumflex"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u mit Diärese"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"y mit Aigu"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y mit Diärese"}},"category":"Ll"},{"category":"Ll","key":"0101","mappings":{"default":{"default":"a mit Makron"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"a mit Breve"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"a mit Ogonek"}}},{"key":"0107","mappings":{"default":{"default":"c mit Aigu"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c mit Zirkumflex"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"010D","mappings":{"default":{"default":"c mit Caron"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"d mit Caron"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"e mit Makron"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e mit Breve"}}},{"key":"0117","mappings":{"default":{"default":"e mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"0119","mappings":{"default":{"default":"e mit Ogonek"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"e mit Caron"}}},{"key":"011D","mappings":{"default":{"default":"g mit Zirkumflex"}},"category":"Ll"},{"category":"Ll","key":"011F","mappings":{"default":{"default":"g mit Breve"}}},{"key":"0121","mappings":{"default":{"default":"g mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g mit Cedilla"}}},{"key":"0125","mappings":{"default":{"default":"h mit Zirkumflex"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i mit Tilde"}},"category":"Ll"},{"category":"Ll","key":"012B","mappings":{"default":{"default":"i mit Makron"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i mit Breve"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"i mit Ogonek"}}},{"key":"0131","mappings":{"default":{"default":"i ohne punkt"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j mit Zirkumflex"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k mit Cedille"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l mit Aigu"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"013E","mappings":{"default":{"default":"l mit Caron"}}},{"key":"0140","mappings":{"default":{"default":"l mit Punkt in der Mitte"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n mit Aigu"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0148","mappings":{"default":{"default":"n mit Caron"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"o mit Makron"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o mit Breve"}}},{"key":"0151","mappings":{"default":{"default":"o mit doppeltem Aigu"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r mit Aigu"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0159","mappings":{"default":{"default":"r mit Caron"}}},{"key":"015B","mappings":{"default":{"default":"s mit Aigu"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s mit Zirkumflex"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0161","mappings":{"default":{"default":"s mit Caron"}}},{"key":"0163","mappings":{"default":{"default":"t mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0165","mappings":{"default":{"default":"t mit Caron"}}},{"key":"0169","mappings":{"default":{"default":"u mit Tilde"}},"category":"Ll"},{"category":"Ll","key":"016B","mappings":{"default":{"default":"u mit Makron"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"u mit Breve"}}},{"key":"016F","mappings":{"default":{"default":"u mit Ring darüber"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u mit doppeltem Aigu"}},"category":"Ll"},{"category":"Ll","key":"0173","mappings":{"default":{"default":"u mit Ogonek"}}},{"key":"0175","mappings":{"default":{"default":"w mit Zirkumflex"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y mit Zirkumflex"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z mit Aigu"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"017E","mappings":{"default":{"default":"z mit Caron"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a mit Caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i mit Caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o mit Caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u mit Caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g mit Caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k mit Caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o mit Ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j mit Caron"}}},{"key":"01F5","mappings":{"default":{"default":"g mit Aigu"}},"category":"Ll"},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n mit Grab"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a mit Doppelgrab"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a mit umgekehrter Breve"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e mit Doppelgrab"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e mit umgekehrter Breve"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i mit Doppelgrab"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i mit umgekehrter Breve"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o mit Doppelgrab"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o mit umgekehrter Breve"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r mit Doppelgrab"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r mit umgekehrter Breve"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u mit Doppelgrab"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u mit umgekehrter Breve"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s mit untenstehendem Komma"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t mit untenstehendem Komma"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h mit Caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"a mit Punkt oben"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e mit Cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o mit Punkt oben"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y mit Makron"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"dotless J"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"a mit Ring unten"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"b mit Punkt oben"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"b mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"b mit Zeile darunter"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"d mit Punkt oben"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"d mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"d mit Zeile darunter"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"d mit Cedilla"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"d mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"e mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"e mit darunterliegender Tilde"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"f mit Punkt oben"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"g mit Makron"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"h mit Punkt oben"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"h mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"h mit Diärese"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"h mit Cedilla"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"h mit Breve unten"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"i mit darunterliegender Tilde"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"k mit Akut"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"k mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"k mit Zeile darunter"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"l mit Punkt unten"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"l mit Zeile darunter"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"l mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"m mit Akut"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"m mit Punkt oben"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"m mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"n mit Punkt oben"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"n mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"n mit Zeile darunter"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"n mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"p mit Akut"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"p mit Punkt oben"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"r mit Punkt oben"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"r mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"r mit Zeile darunter"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"s mit Punkt oben"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"s mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"t mit Punkt oben"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"t mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"t mit Zeile darunter"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"t mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"u mit untenstehender Diärese"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"u mit darunterliegender Tilde"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"u mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"v mit Tilde"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"v mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"w mit Grab"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"w mit Akut"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"w mit Diärese"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"w mit Punkt oben"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"w mit Punkt unten"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"x mit Punkt oben"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"x mit Diärese"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"y mit Punkt oben"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"z mit Zirkumflex"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"z mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"z mit Zeile darunter"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"h mit Zeile darunter"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"t mit Diärese"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"w mit Ring oben"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"y mit Ring oben"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"a mit rechtem Halbring"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"a mit Punkt unten"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"a mit Haken oben"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"e mit untenstehendem Punkt"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"e mit Haken oben"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"e mit Tilde"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"i mit Haken oben"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"i mit untenstehendem Punkt"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"o mit untenstehendem Punkt"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"o mit Haken oben"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"u mit untenstehendem Punkt"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"u mit Haken oben"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"y mit Grab"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"y mit untenstehendem Punkt"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"y mit Haken oben"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"y mit Tilde"}}}]
+,
+"de/symbols/latin-rest.js": 
+[{"locale":"de"},{"category":"Ll","key":"210E","mappings":{"default":{"default":"Planck-Konstante"}}},{"category":"Mn","key":"0363","mappings":{"default":{"default":"kombinierendes a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"kombinierendes e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"kombinierendes i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"kombinierendes o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"kombinierendes u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"kombinierendes c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"kombinierendes d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"kombinierendes h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"kombinierendes m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"kombinierendes r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"kombinierendes t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"kombinierendes v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"kombinierendes x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"tiefgestelltes i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"tiefgestelltes r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"tiefgestelltes u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"tiefgestelltes v"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"tiefgestelltes r"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"kombinierendes oberes w"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"kombinierendes ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"kombinierendes ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"kombinierendes av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"kombinierendes c mit Cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"kombinierendes insulares d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"kombinierendes eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"kombinierendes g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"kombinierendes Kapitälchen g"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"kombinierendes k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"kombinierendes l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"kombinierendes Kapitälchen L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"kombinierendes Kapitälchen M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"kombinierendes n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"kombinierendes Kapitälchen N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"kombinierendes lateinisches Kapitälchen R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"kombinierendes r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"kombinierendes s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"kombinierendes langes s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"kombinierendes z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"hochgestelltes i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"hochgestelltes n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"tiefgestelltes a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"tiefgestelltes e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"tiefgestelltes o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"tiefgestelltes x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"tiefgestelltes schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"tiefgestelltes h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"tiefgestelltes k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"tiefgestelltes l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"tiefgestelltes m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"tiefgestelltes n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"tiefgestelltes p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"tiefgestelltes s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"tiefgestelltes t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"tiefgestelltes j"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"groß S in stumpfen Klammern"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"eingekreistes kursives groß C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"eingekreistes kursives groß R"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"durchgestrichenes P auf schwarzen Quadrat"}}}]
+,
+"de/symbols/latin-upper-double-accent.js": 
+[{"locale":"de"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"groß U mit Diärese und Makron"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"groß U mit Diärese und Akut"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"groß U mit Diärese und Caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"groß U mit Diärese und Grab"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"groß A mit Diärese und Makron"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"groß A mit Dot Above und Makron"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"groß O mit Ogonek und Makron"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"groß A mit Ring oben und akut"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"groß O mit Diärese und Makron"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"groß O mit Tilde und Makron"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"groß O mit Punkt oben und Makron"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"groß C mit Cedilla und Akut"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"groß E mit Makron und Grab"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"groß E mit Makron und Akut"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"groß E mit Cedilla und Breve"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"groß I mit Diärese und Akut"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"groß L mit Dot Below und Makron"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"groß O mit Tilde und Akut"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"groß O mit Tilde und Diärese"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"groß O mit Makron und Grab"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"groß O mit Makron und Akut"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"groß R mit Punkt unten und Makron"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"groß S mit Akute und Punkt oben"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"groß S mit Caron und Punkt oben"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"groß S mit untenstehendem Punkt und oben stehendem Punkt"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"groß U mit Tilde und Akut"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"groß U mit Makron und Diärese"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"groß A mit Zirkumflex und Akut"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"groß A mit Zirkumflex und Grab"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"groß A mit Zirkumflex und Haken oben"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"groß A mit Circumflex und Tilde"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"groß A mit Zirkumflex und Punkt darunter"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"groß A mit Breve und Akut"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"groß A mit Breve und Grab"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"groß A mit Breve und Hook oben"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"groß A mit Breve und Tilde"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"groß A mit Breve und Dot Below"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"groß E mit Zirkumflex und Akut"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"groß E mit Zirkumflex und Grab"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"groß E mit Zirkumflex und Haken oben"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"groß E mit Zirkumflex und Tilde"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"groß E mit Zirkumflex und Punkt darunter"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"groß O mit Circumflex und Akut"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"groß O mit Zirkumflex und Grab"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"groß O mit Zirkumflex und Haken oben"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"groß O mit Zirkumflex und Tilde"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"groß O mit Zirkumflex und Punkt darunter"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"groß O mit Horn und Akut"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"groß O mit Horn und Grab"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"groß O mit Horn und Haken oben"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"groß O mit Horn und Tilde"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"groß O mit Horn und Punkt"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"groß U mit Horn und Akut"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"groß U mit Horn und Grab"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"groß U mit Horn und Haken oben"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"groß U mit Horn und Tilde"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"groß U mit Horn und Punkt"}}}]
+,
+"de/symbols/latin-upper-single-accent.js": 
+[{"locale":"de"},{"key":"00C0","mappings":{"default":{"default":"groß A mit Gravis"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"groß A mit Aigu"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"groß A mit Zirkumflex"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"groß A mit Tilde"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"groß A mit Diärese"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"groß A mit Ring darüber"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"groß C mit Cedille"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"groß E mit Gravis"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"groß E mit Aigu"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"groß E mit Zirkumflex"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"groß E mit Diärese"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"groß I mit Gravis"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"groß I mit Aigu"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"groß I mit Zirkumflex"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"groß I mit Diärese"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"großes n mit Tilde"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"großes o mit Gravis"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"groß O mit Aigu"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"groß O mit Zirkumflex"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"groß O mit Tilde"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"groß O mit Diärese"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"groß U mit Gravis"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"groß U mit Aigu"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"groß U mit Zirkumflex"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"groß U mit Diärese"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"groß Y mit Aigu"}},"category":"Lu"},{"category":"Lu","key":"0100","mappings":{"default":{"default":"groß A mit Makron"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"groß A mit Breve"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"groß A mit Ogonek"}}},{"key":"0106","mappings":{"default":{"default":"groß C mit Aigu"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"groß C mit Zirkumflex"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"groß C mit Punkt darüber"}},"category":"Lu"},{"category":"Lu","key":"010C","mappings":{"default":{"default":"groß C mit Caron"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"groß D mit Caron"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"groß E mit Makron"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"groß E mit Breve"}}},{"key":"0116","mappings":{"default":{"default":"groß E mit Punkt darüber"}},"category":"Lu"},{"category":"Lu","key":"0118","mappings":{"default":{"default":"groß E mit Ogonek"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"groß E mit Caron"}}},{"key":"011C","mappings":{"default":{"default":"groß G mit Zirkumflex"}},"category":"Lu"},{"category":"Lu","key":"011E","mappings":{"default":{"default":"groß G mit Breve"}}},{"key":"0120","mappings":{"default":{"default":"groß G mit Punkt darüber"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"groß G mit Cedille"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"groß H mit Zirkumflex"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"groß I mit Tilde"}},"category":"Lu"},{"category":"Lu","key":"012A","mappings":{"default":{"default":"groß I mit Makron"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"groß I mit Breve"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"groß I mit Ogonek"}}},{"key":"0130","mappings":{"default":{"default":"groß I mit Punkt darüber"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"groß J mit Zirkumflex"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"groß K mit Cedille"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"groß L mit Aigu"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"groß L mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"013D","mappings":{"default":{"default":"groß L mit Caron"}}},{"key":"013F","mappings":{"default":{"default":"groß L mit Punkt in der Mitte"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"groß N mit Aigu"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"groß N mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0147","mappings":{"default":{"default":"groß N mit Caron"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"groß O mit Makron"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"groß O mit Breve"}}},{"key":"0150","mappings":{"default":{"default":"groß O mit doppeltem Aigu"}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"groß R mit Aigu"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"groß R mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0158","mappings":{"default":{"default":"groß R mit Caron"}}},{"key":"015A","mappings":{"default":{"default":"groß S mit Aigu"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"groß S mit Zirkumflex"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"groß S mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0160","mappings":{"default":{"default":"groß S mit Caron"}}},{"key":"0162","mappings":{"default":{"default":"groß T mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0164","mappings":{"default":{"default":"groß T mit Caron"}}},{"key":"0168","mappings":{"default":{"default":"groß U mit Tilde"}},"category":"Lu"},{"category":"Lu","key":"016A","mappings":{"default":{"default":"groß U mit Makron"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"groß U mit Breve"}}},{"key":"016E","mappings":{"default":{"default":"groß U mit Ring darüber"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"groß U mit dopppeltem Aigu"}},"category":"Lu"},{"category":"Lu","key":"0172","mappings":{"default":{"default":"groß U mit Ogonek"}}},{"key":"0174","mappings":{"default":{"default":"groß W mit Zirkumflex"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"groß Y mit Zirkumflex"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"groß Y mit Diärese"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"groß Z mit Aigu"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"groß Z mit Punkt darüber"}},"category":"Lu"},{"category":"Lu","key":"017D","mappings":{"default":{"default":"groß Z mit Caron"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"groß A mit Caron"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"groß I mit Caron"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"groß O mit Caron"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"groß U mit Caron"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"groß G mit Caron"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"groß K mit Caron"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"groß O mit Ogonek"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"groß G mit Akut"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"groß N mit Gravis"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"groß A mit Doppelgravis"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"groß A mit umgekehrter Breve"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"groß E mit Doppelgravis"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"groß E mit umgekehrter Breve"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"groß I mit Doppelgravis"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"groß I mit umgekehrter Breve"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"groß O mit Doppelgravis"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"groß O mit umgekehrter Breve"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"groß R mit Doppelgravis"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"groß R mit umgekehrter Breve"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"groß U mit Doppelgravis"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"groß U mit umgekehrter Breve"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"groß S mit untenstehendem Komma"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"groß T mit untenstehendem Komma"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"groß H mit Caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"groß A mit Punkt oben"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"groß E mit Cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"groß O mit Punkt oben"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"groß Y mit Makron"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"groß A mit Ring unten"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"groß B mit Punkt oben"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"groß B mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"groß B mit Zeile darunter"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"groß D mit Punkt oben"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"groß D mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"groß D mit Zeile darunter"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"groß D mit Cedilla"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"groß D mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"groß E mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"groß E mit darunterliegender Tilde"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"groß F mit Punkt oben"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"groß G mit Makron"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"groß H mit Punkt oben"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"groß H mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"groß H mit Diärese"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"groß H mit Cedilla"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"groß H mit Breve unten"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"groß I mit unten stehender Tilde"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"groß K mit Akut"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"groß K mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"groß K mit Zeile"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"groß L mit Punkt unten"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"groß L mit Zeile darunter"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"groß L mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"groß M mit Akut"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"groß M mit Punkt oben"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"groß M mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"groß N mit Punkt oben"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"groß N mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"groß N mit Zeile darunter"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"groß N mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"groß P mit Akut"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"groß P mit Punkt oben"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"groß R mit Punkt oben"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"groß R mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"groß R mit Zeile darunter"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"groß S mit Punkt oben"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"groß S mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"groß T mit Punkt oben"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"groß T mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"groß T mit Zeile darunter"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"groß T mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"groß U mit untenstehender Diärese"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"groß U mit darunterliegender Tilde"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"groß U mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"groß V mit Tilde"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"groß V mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"groß W mit Gravis"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"groß W mit Akut"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"groß W mit Diärese"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"groß W mit Punkt oben"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"groß W mit Punkt unten"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"groß X mit Punkt oben"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"groß X mit Diärese"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"groß Y mit Punkt oben"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"groß Z mit Zirkumflex"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"groß Z mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"groß Z mit Zeile darunter"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"groß A mit Punkt unten"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"groß A mit Haken oben"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"groß E mit untenstehendem Punkt"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"groß E mit Haken oben"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"groß E mit Tilde"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"groß I mit Haken oben"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"groß I mit untenstehendem Punkt"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"groß O mit untenstehendem Punkt"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"groß O mit Haken oben"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"groß U mit untenstehendem Punkt"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"groß U mit Haken oben"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"groß Y mit Gravis"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"groß Y mit untenstehendem Punkt"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"groß Y mit Haken oben"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"groß Y mit Tilde"}}}]
+,
+"de/symbols/math_angles.js": 
+[{"locale":"de"},{"category":"Sm","key":"22BE","mappings":{"default":{"default":"rechter Winkel mit Bogen"}}},{"category":"Sm","key":"237C","mappings":{"default":{"default":"rechter Winkel mit nach unten gerichtetem Zickzackpfeil"}}},{"category":"Sm","key":"27C0","mappings":{"default":{"default":"Dreidimensionaler Winkel"}}},{"category":"Sm","key":"299B","mappings":{"default":{"default":"Gemessene Winkelöffnung links"}}},{"category":"Sm","key":"299C","mappings":{"default":{"default":"Rechtwinklige Variante mit Quadrat"}}},{"category":"Sm","key":"299D","mappings":{"default":{"default":"rechter Winkel mit Punkt gemessen"}}},{"category":"Sm","key":"299E","mappings":{"default":{"default":"Winkel mit S nach innen"}}},{"category":"Sm","key":"299F","mappings":{"default":{"default":"Spitzer Winkel"}}},{"category":"Sm","key":"29A0","mappings":{"default":{"default":"Sphärischer Öffnungswinkel nach links"}}},{"category":"Sm","key":"29A1","mappings":{"default":{"default":"Sphärischer Winkel, der sich öffnet"}}},{"category":"Sm","key":"29A2","mappings":{"default":{"default":"Gedrehter Winkel"}}},{"category":"Sm","key":"29A3","mappings":{"default":{"default":"Umgekehrter Winkel"}}},{"category":"Sm","key":"29A4","mappings":{"default":{"default":"Winkel mit Underbar"}}},{"category":"Sm","key":"29A5","mappings":{"default":{"default":"Umgekehrter Winkel mit Unterleiste"}}},{"category":"Sm","key":"29A6","mappings":{"default":{"default":"Schräger Winkel, der sich öffnet"}}},{"category":"Sm","key":"29A7","mappings":{"default":{"default":"Schräger Winkel, der sich nach unten öffnet"}}},{"category":"Sm","key":"29A8","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im Pfeil nach oben und rechts"}}},{"category":"Sm","key":"29A9","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm und Pfeil nach oben und links"}}},{"category":"Sm","key":"29AA","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im nach unten zeigenden Pfeil und rechts"}}},{"category":"Sm","key":"29AB","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im nach unten zeigenden Pfeil"}}},{"category":"Sm","key":"29AC","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im Pfeil nach rechts und oben"}}},{"category":"Sm","key":"29AD","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im Pfeil nach links und oben"}}},{"category":"Sm","key":"29AE","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im nach rechts und unten zeigenden Pfeil"}}},{"category":"Sm","key":"29AF","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm und Pfeil nach links und unten"}}}]
+,
+"de/symbols/math_arrows.js": 
+[{"locale":"de"},{"category":"Sm","key":"2190","mappings":{"default":{"default":"Pfeil nach links"}}},{"category":"Sm","key":"2191","mappings":{"default":{"default":"Aufwärtspfeil"}}},{"category":"Sm","key":"2192","mappings":{"default":{"default":"Pfeil nach rechts"}}},{"category":"Sm","key":"2193","mappings":{"default":{"default":"Pfeil nach unten"}}},{"category":"Sm","key":"2194","mappings":{"default":{"default":"Linker rechter Pfeil"}}},{"category":"So","key":"2195","mappings":{"default":{"default":"Pfeil nach oben"}}},{"category":"So","key":"2196","mappings":{"default":{"default":"Nordwestpfeil"}}},{"category":"So","key":"2197","mappings":{"default":{"default":"Nordostpfeil"}}},{"category":"So","key":"2198","mappings":{"default":{"default":"Südostpfeil"}}},{"category":"So","key":"2199","mappings":{"default":{"default":"Südwestpfeil"}}},{"category":"Sm","key":"219A","mappings":{"default":{"default":"Pfeil nach links mit Strich"}}},{"category":"Sm","key":"219B","mappings":{"default":{"default":"Pfeil nach rechts mit Strich"}}},{"category":"So","key":"219C","mappings":{"default":{"default":"Wellenpfeil nach links"}}},{"category":"So","key":"219D","mappings":{"default":{"default":"Wellenpfeil nach rechts"}}},{"category":"So","key":"219E","mappings":{"default":{"default":"Pfeil nach links mit zwei Spitzen"}}},{"category":"So","key":"219F","mappings":{"default":{"default":"Aufwärts zwei Pfeil nach unten"}}},{"category":"Sm","key":"21A0","mappings":{"default":{"default":"Pfeil nach rechts mit zwei Köpfen"}}},{"category":"So","key":"21A1","mappings":{"default":{"default":"Abwärts zwei Pfeil nach unten"}}},{"category":"So","key":"21A2","mappings":{"default":{"default":"Pfeil nach links mit Schwanz"}}},{"category":"Sm","key":"21A3","mappings":{"default":{"default":"Pfeil nach rechts mit Schwanz"}}},{"category":"So","key":"21A4","mappings":{"default":{"default":"Pfeil nach links von der Bar"}}},{"category":"So","key":"21A5","mappings":{"default":{"default":"Pfeil von der Bar nach oben"}}},{"category":"Sm","key":"21A6","mappings":{"default":{"default":"Pfeil nach rechts von der Bar"}}},{"category":"So","key":"21A7","mappings":{"default":{"default":"Pfeil von der Bar nach unten"}}},{"category":"So","key":"21A8","mappings":{"default":{"default":"Pfeil nach unten mit Basis"}}},{"category":"So","key":"21A9","mappings":{"default":{"default":"Pfeil nach links mit Haken"}}},{"category":"So","key":"21AA","mappings":{"default":{"default":"Pfeil nach rechts mit Haken"}}},{"category":"So","key":"21AB","mappings":{"default":{"default":"Pfeil nach links mit Schleife"}}},{"category":"So","key":"21AC","mappings":{"default":{"default":"Pfeil nach rechts mit Schleife"}}},{"category":"So","key":"21AD","mappings":{"default":{"default":"Linker rechter Wellenpfeil"}}},{"category":"Sm","key":"21AE","mappings":{"default":{"default":"Linker rechter Pfeil mit Strich"}}},{"category":"So","key":"21AF","mappings":{"default":{"default":"Zickzack-Pfeil nach unten"}}},{"category":"So","key":"21B0","mappings":{"default":{"default":"Aufwärtspfeil mit Spitze nach links"}}},{"category":"So","key":"21B1","mappings":{"default":{"default":"Aufwärtspfeil mit Spitze nach rechts"}}},{"category":"So","key":"21B2","mappings":{"default":{"default":"Pfeil nach unten mit Spitze nach links"}}},{"category":"So","key":"21B3","mappings":{"default":{"default":"Abwärtspfeil mit Spitze nach rechts"}}},{"category":"So","key":"21B4","mappings":{"default":{"default":"Pfeil nach rechts mit Ecke nach unten"}}},{"category":"So","key":"21B5","mappings":{"default":{"default":"Pfeil nach unten mit Ecke nach links"}}},{"category":"So","key":"21B6","mappings":{"default":{"default":"Gegen den Uhrzeigersinn oberer halbkreisförmiger Pfeil"}}},{"category":"So","key":"21B7","mappings":{"default":{"default":"Halbkreis im Uhrzeigersinn"}}},{"category":"So","key":"21B8","mappings":{"default":{"default":"Nordwestpfeil zur langen Bar"}}},{"category":"So","key":"21B9","mappings":{"default":{"default":"Pfeil nach links zum Überfahren Pfeil nach rechts zum Überfahren"}}},{"category":"So","key":"21BA","mappings":{"default":{"default":"Offener Kreispfeil gegen den Uhrzeigersinn"}}},{"category":"So","key":"21BB","mappings":{"default":{"default":"Kreispfeil im Uhrzeigersinn öffnen"}}},{"category":"So","key":"21C4","mappings":{"default":{"default":"Pfeil nach rechts über Pfeil nach links"}}},{"category":"So","key":"21C5","mappings":{"default":{"default":"Aufwärtspfeil nach links von Abwärtspfeil"}}},{"category":"So","key":"21C6","mappings":{"default":{"default":"Pfeil nach links über Pfeil nach rechts"}}},{"category":"So","key":"21C7","mappings":{"default":{"default":"Links gepaarte Pfeile"}}},{"category":"So","key":"21C8","mappings":{"default":{"default":"Aufwärts gepaarte Pfeile"}}},{"category":"So","key":"21C9","mappings":{"default":{"default":"Rechts gepaarte Pfeile"}}},{"category":"So","key":"21CA","mappings":{"default":{"default":"Abwärts gepaarte Pfeile"}}},{"category":"So","key":"21CD","mappings":{"default":{"default":"Doppelpfeil nach links mit Strich"}}},{"category":"Sm","key":"21CE","mappings":{"default":{"default":"Links Rechts Doppelpfeil mit Strich"}}},{"category":"Sm","key":"21CF","mappings":{"default":{"default":"Doppelpfeil nach rechts mit Strich"}}},{"category":"So","key":"21D0","mappings":{"default":{"default":"Doppelpfeil nach links"}}},{"category":"So","key":"21D1","mappings":{"default":{"default":"Doppelpfeil nach oben"}}},{"category":"Sm","key":"21D2","mappings":{"default":{"default":"Doppelpfeil nach rechts"}}},{"category":"So","key":"21D3","mappings":{"default":{"default":"Doppelpfeil nach unten"}}},{"category":"Sm","key":"21D4","mappings":{"default":{"default":"Linker rechter Doppelpfeil"}}},{"category":"So","key":"21D5","mappings":{"default":{"default":"Doppelpfeil nach unten"}}},{"category":"So","key":"21D6","mappings":{"default":{"default":"Nordwest-Doppelpfeil"}}},{"category":"So","key":"21D7","mappings":{"default":{"default":"Nordost-Doppelpfeil"}}},{"category":"So","key":"21D8","mappings":{"default":{"default":"Südost Doppelpfeil"}}},{"category":"So","key":"21D9","mappings":{"default":{"default":"Südwest-Doppelpfeil"}}},{"category":"So","key":"21DA","mappings":{"default":{"default":"Dreifacher Pfeil nach links"}}},{"category":"So","key":"21DB","mappings":{"default":{"default":"Dreifacher Pfeil nach rechts"}}},{"category":"So","key":"21DC","mappings":{"default":{"default":"Linker Squiggle-Pfeil"}}},{"category":"So","key":"21DD","mappings":{"default":{"default":"Nach rechts gekrümmter Pfeil"}}},{"category":"So","key":"21DE","mappings":{"default":{"default":"Aufwärtspfeil mit Doppelstrich"}}},{"category":"So","key":"21DF","mappings":{"default":{"default":"Abwärtspfeil mit Doppelstrich"}}},{"category":"So","key":"21E0","mappings":{"default":{"default":"Pfeil nach links nach links"}}},{"category":"So","key":"21E1","mappings":{"default":{"default":"Pfeil nach oben gestrichen"}}},{"category":"So","key":"21E2","mappings":{"default":{"default":"Rechts gestrichener Pfeil"}}},{"category":"So","key":"21E3","mappings":{"default":{"default":"Abwärts gestrichelter Pfeil"}}},{"category":"So","key":"21E4","mappings":{"default":{"default":"Pfeil nach links zur Bar"}}},{"category":"So","key":"21E5","mappings":{"default":{"default":"Pfeil nach rechts zur Bar"}}},{"category":"So","key":"21E6","mappings":{"default":{"default":"Weißer Pfeil nach links"}}},{"category":"So","key":"21E7","mappings":{"default":{"default":"Aufwärts weißer Pfeil"}}},{"category":"So","key":"21E8","mappings":{"default":{"default":"Rechts weißer Pfeil"}}},{"category":"So","key":"21E9","mappings":{"default":{"default":"Abwärts weißer Pfeil"}}},{"category":"So","key":"21EA","mappings":{"default":{"default":"Aufwärts weißer Pfeil von der Stange"}}},{"category":"So","key":"21EB","mappings":{"default":{"default":"Aufwärts weißer Pfeil auf Sockel"}}},{"category":"So","key":"21EC","mappings":{"default":{"default":"Aufwärts weißer Pfeil auf Sockel mit horizontaler Stange"}}},{"category":"So","key":"21ED","mappings":{"default":{"default":"Aufwärts weißer Pfeil auf Sockel mit vertikaler Stange"}}},{"category":"So","key":"21EE","mappings":{"default":{"default":"Aufwärts weißer Doppelpfeil"}}},{"category":"So","key":"21EF","mappings":{"default":{"default":"Aufwärts weißer doppelter Pfeil auf Sockel"}}},{"category":"So","key":"21F0","mappings":{"default":{"default":"Rechts weißer Pfeil von der Wand"}}},{"category":"So","key":"21F1","mappings":{"default":{"default":"Nordwestpfeil zur Ecke"}}},{"category":"So","key":"21F2","mappings":{"default":{"default":"Südostpfeil zur Ecke"}}},{"category":"So","key":"21F3","mappings":{"default":{"default":"Weißer Pfeil nach unten"}}},{"category":"Sm","key":"21F4","mappings":{"default":{"default":"rechter Pfeil mit kleinem Kreis"}}},{"category":"Sm","key":"21F5","mappings":{"default":{"default":"Abwärtspfeil nach links von Aufwärtspfeil"}}},{"category":"Sm","key":"21F6","mappings":{"default":{"default":"Drei nach rechts gerichtete Pfeile"}}},{"category":"Sm","key":"21F7","mappings":{"default":{"default":"Pfeil nach links mit vertikalem Strich"}}},{"category":"Sm","key":"21F8","mappings":{"default":{"default":"Pfeil nach rechts mit vertikalem Strich"}}},{"category":"Sm","key":"21F9","mappings":{"default":{"default":"Linker rechter Pfeil mit vertikalem Strich"}}},{"category":"Sm","key":"21FA","mappings":{"default":{"default":"Pfeil nach links mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"21FB","mappings":{"default":{"default":"Pfeil nach rechts mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"21FC","mappings":{"default":{"default":"Linker rechter Pfeil mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"21FD","mappings":{"default":{"default":"Pfeil nach links mit offenem Kopf"}}},{"category":"Sm","key":"21FE","mappings":{"default":{"default":"Pfeil nach rechts mit offenem Kopf"}}},{"category":"Sm","key":"21FF","mappings":{"default":{"default":"Linker rechter Pfeil mit offenem Kopf"}}},{"category":"So","key":"2301","mappings":{"default":{"default":"Elektrischer Pfeil"}}},{"category":"So","key":"2303","mappings":{"default":{"default":"Pfeil nach oben"}}},{"category":"So","key":"2304","mappings":{"default":{"default":"Pfeil nach unten"}}},{"category":"So","key":"2324","mappings":{"default":{"default":"Pfeilspitze zwischen zwei horizontalen Balken"}}},{"category":"So","key":"238B","mappings":{"default":{"default":"Gebrochener Kreis mit Nordwestpfeil"}}},{"category":"So","key":"2794","mappings":{"default":{"default":"Schwerer, nach rechts gerichteter Pfeil nach rechts"}}},{"category":"So","key":"2798","mappings":{"default":{"default":"Schwerer Südostpfeil"}}},{"category":"So","key":"2799","mappings":{"default":{"default":"Schwerer Pfeil nach rechts"}}},{"category":"So","key":"279A","mappings":{"default":{"default":"Schwerer Nordostpfeil"}}},{"category":"So","key":"279B","mappings":{"default":{"default":"Zeichnungspunkt Pfeil nach rechts"}}},{"category":"So","key":"279C","mappings":{"default":{"default":"Schwerer runder Pfeil nach rechts"}}},{"category":"So","key":"279D","mappings":{"default":{"default":"Dreieckköpfiger Pfeil nach rechts"}}},{"category":"So","key":"279E","mappings":{"default":{"default":"Schwerer Dreieckspfeil nach rechts"}}},{"category":"So","key":"279F","mappings":{"default":{"default":"Dreieckköpfiger Pfeil nach rechts"}}},{"category":"So","key":"27A0","mappings":{"default":{"default":"Schwerer, gestrichelter Dreieckspfeil nach rechts"}}},{"category":"So","key":"27A1","mappings":{"default":{"default":"Schwarzer Pfeil nach rechts"}}},{"category":"So","key":"27A2","mappings":{"default":{"default":"Dreidimensionale, nach oben beleuchtete Pfeilspitze"}}},{"category":"So","key":"27A3","mappings":{"default":{"default":"Dreidimensionale, von unten beleuchtete Pfeilspitze nach rechts"}}},{"category":"So","key":"27A4","mappings":{"default":{"default":"Schwarze Pfeilspitze nach rechts"}}},{"category":"So","key":"27A5","mappings":{"default":{"default":"Schwerer schwarzer Pfeil nach unten und rechts gebogen"}}},{"category":"So","key":"27A6","mappings":{"default":{"default":"Schwerer schwarzer Pfeil nach oben und rechts gebogen"}}},{"category":"So","key":"27A7","mappings":{"default":{"default":"Schwarzer nach rechts gerichteter Pfeil"}}},{"category":"So","key":"27A8","mappings":{"default":{"default":"Schwerer konkaver Spitze-Pfeil nach rechts"}}},{"category":"So","key":"27A9","mappings":{"default":{"default":"Rechts geschatteter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AA","mappings":{"default":{"default":"Links schattierter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AB","mappings":{"default":{"default":"Zurückgekippter, beschatteter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AC","mappings":{"default":{"default":"Vorne geneigter, beschatteter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AD","mappings":{"default":{"default":"Schwerer unterer rechter Schatten mit weißem Pfeil nach rechts"}}},{"category":"So","key":"27AE","mappings":{"default":{"default":"Schwerer oberer rechter Schatten mit weißem Pfeil nach rechts"}}},{"category":"So","key":"27AF","mappings":{"default":{"default":"Gekerbter Pfeil nach rechts unten rechts"}}},{"category":"So","key":"27B1","mappings":{"default":{"default":"Weißer Pfeil nach rechts oben gekerbt"}}},{"category":"So","key":"27B2","mappings":{"default":{"default":"Eingekreister schwerer weißer Pfeil nach rechts"}}},{"category":"So","key":"27B3","mappings":{"default":{"default":"Pfeil mit weißer Feder nach rechts"}}},{"category":"So","key":"27B4","mappings":{"default":{"default":"Schwarz-gefiederter Südostpfeil"}}},{"category":"So","key":"27B5","mappings":{"default":{"default":"Pfeil mit schwarzer Feder nach rechts"}}},{"category":"So","key":"27B6","mappings":{"default":{"default":"Schwarzgefiederter Nordostpfeil"}}},{"category":"So","key":"27B7","mappings":{"default":{"default":"Schwerer schwarzgefiederter Südostpfeil"}}},{"category":"So","key":"27B8","mappings":{"default":{"default":"Schwerer schwarzgefiederter Pfeil nach rechts"}}},{"category":"So","key":"27B9","mappings":{"default":{"default":"Schwerer schwarzgefiederter Nordostpfeil"}}},{"category":"So","key":"27BA","mappings":{"default":{"default":"Teardrop-Barbed-Pfeil nach rechts"}}},{"category":"So","key":"27BB","mappings":{"default":{"default":"Schwerer Tropfen-Pfeil nach rechts"}}},{"category":"So","key":"27BC","mappings":{"default":{"default":"Keil-Schwanz nach rechts Pfeil"}}},{"category":"So","key":"27BD","mappings":{"default":{"default":"Schwerer, nach rechts gekeilter Pfeil"}}},{"category":"So","key":"27BE","mappings":{"default":{"default":"Offener Pfeil nach rechts"}}},{"category":"Sm","key":"27F0","mappings":{"default":{"default":"Vierfachpfeil nach oben"}}},{"category":"Sm","key":"27F1","mappings":{"default":{"default":"Vierfacher Pfeil nach unten"}}},{"category":"Sm","key":"27F2","mappings":{"default":{"default":"Kreispfeil gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"27F3","mappings":{"default":{"default":"Kreispfeil im Uhrzeigersinn"}}},{"category":"Sm","key":"27F4","mappings":{"default":{"default":"rechter Pfeil mit Circled Plus"}}},{"category":"Sm","key":"27F5","mappings":{"default":{"default":"Langer Pfeil nach links"}}},{"category":"Sm","key":"27F6","mappings":{"default":{"default":"Langer Pfeil nach rechts"}}},{"category":"Sm","key":"27F7","mappings":{"default":{"default":"Langer linker rechter Pfeil"}}},{"category":"Sm","key":"27F8","mappings":{"default":{"default":"Langer Doppelpfeil nach links"}}},{"category":"Sm","key":"27F9","mappings":{"default":{"default":"Langer Doppelpfeil nach rechts"}}},{"category":"Sm","key":"27FA","mappings":{"default":{"default":"Langer linker rechter Doppelpfeil"}}},{"category":"Sm","key":"27FB","mappings":{"default":{"default":"Langer Pfeil nach links von der Bar"}}},{"category":"Sm","key":"27FC","mappings":{"default":{"default":"Langer Rechtspfeil von der Bar"}}},{"category":"Sm","key":"27FD","mappings":{"default":{"default":"Langer Doppelpfeil nach links von der Bar"}}},{"category":"Sm","key":"27FE","mappings":{"default":{"default":"Langer Doppelpfeil nach rechts von der Bar"}}},{"category":"Sm","key":"27FF","mappings":{"default":{"default":"Langer nach rechts gerichteter Squiggle-Pfeil"}}},{"category":"Sm","key":"2900","mappings":{"default":{"default":"Pfeil nach rechts mit senkrechtem Strich"}}},{"category":"Sm","key":"2901","mappings":{"default":{"default":"Zwei Pfeil nach rechts mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2902","mappings":{"default":{"default":"Doppelpfeil nach links mit vertikalem Strich"}}},{"category":"Sm","key":"2903","mappings":{"default":{"default":"Doppelpfeil nach rechts mit vertikalem Strich"}}},{"category":"Sm","key":"2904","mappings":{"default":{"default":"Linker rechter Doppelpfeil mit vertikalem Strich"}}},{"category":"Sm","key":"2905","mappings":{"default":{"default":"Zwei Pfeil nach rechts von der Bar"}}},{"category":"Sm","key":"2906","mappings":{"default":{"default":"Doppelpfeil nach links von der Bar"}}},{"category":"Sm","key":"2907","mappings":{"default":{"default":"Doppelter Pfeil nach rechts von der Bar"}}},{"category":"Sm","key":"2908","mappings":{"default":{"default":"Abwärtspfeil mit horizontalem Strich"}}},{"category":"Sm","key":"2909","mappings":{"default":{"default":"Aufwärtspfeil mit horizontalem Anschlag"}}},{"category":"Sm","key":"290A","mappings":{"default":{"default":"Dreifachpfeil nach oben"}}},{"category":"Sm","key":"290B","mappings":{"default":{"default":"Dreifacher Pfeil nach unten"}}},{"category":"Sm","key":"290C","mappings":{"default":{"default":"Doppelpfeil nach links"}}},{"category":"Sm","key":"290D","mappings":{"default":{"default":"Doppelpfeil nach rechts"}}},{"category":"Sm","key":"290E","mappings":{"default":{"default":"Dreifacher Strichpfeil nach links"}}},{"category":"Sm","key":"290F","mappings":{"default":{"default":"Dreifacher Bindestrich nach rechts"}}},{"category":"Sm","key":"2910","mappings":{"default":{"default":"Dreipoliger Pfeil nach rechts"}}},{"category":"Sm","key":"2911","mappings":{"default":{"default":"Pfeil nach rechts mit gepunktetem Stamm"}}},{"category":"Sm","key":"2912","mappings":{"default":{"default":"Aufwärtspfeil zur Bar"}}},{"category":"Sm","key":"2913","mappings":{"default":{"default":"Abwärtspfeil zur Bar"}}},{"category":"Sm","key":"2914","mappings":{"default":{"default":"Pfeil nach rechts mit Schwanz mit senkrechtem Anschlag"}}},{"category":"Sm","key":"2915","mappings":{"default":{"default":"Pfeil nach rechts mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2916","mappings":{"default":{"default":"Nach rechts gerichteter zweiköpfiger Pfeil mit Schwanz"}}},{"category":"Sm","key":"2917","mappings":{"default":{"default":"Nach rechts gerichteter Doppelpfeil mit Schwanz mit senkrechtem Anschlag"}}},{"category":"Sm","key":"2918","mappings":{"default":{"default":"Nach rechts gerichteter Doppelpfeil mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2919","mappings":{"default":{"default":"Pfeil nach links nach links"}}},{"category":"Sm","key":"291A","mappings":{"default":{"default":"Pfeil nach rechts nach rechts"}}},{"category":"Sm","key":"291B","mappings":{"default":{"default":"Doppelter Pfeilschwanz nach links"}}},{"category":"Sm","key":"291C","mappings":{"default":{"default":"Doppelter Pfeilschwanz nach rechts"}}},{"category":"Sm","key":"291D","mappings":{"default":{"default":"Pfeil nach links zu Black Diamond"}}},{"category":"Sm","key":"291E","mappings":{"default":{"default":"Pfeil nach rechts zu Black Diamond"}}},{"category":"Sm","key":"291F","mappings":{"default":{"default":"Pfeil nach links von Bar zu Black Diamond"}}},{"category":"Sm","key":"2920","mappings":{"default":{"default":"Pfeil nach rechts von Bar zu Black Diamond"}}},{"category":"Sm","key":"2921","mappings":{"default":{"default":"Nordwest- und Südostpfeil"}}},{"category":"Sm","key":"2922","mappings":{"default":{"default":"Nordost- und Südwestpfeil"}}},{"category":"Sm","key":"2923","mappings":{"default":{"default":"Nordwestpfeil mit Haken"}}},{"category":"Sm","key":"2924","mappings":{"default":{"default":"Nordostpfeil mit Haken"}}},{"category":"Sm","key":"2925","mappings":{"default":{"default":"Südostpfeil mit Haken"}}},{"category":"Sm","key":"2926","mappings":{"default":{"default":"Südwestpfeil mit Haken"}}},{"category":"Sm","key":"2927","mappings":{"default":{"default":"Nordwestpfeil und Nordostpfeil"}}},{"category":"Sm","key":"2928","mappings":{"default":{"default":"Nordostpfeil und Südostpfeil"}}},{"category":"Sm","key":"2929","mappings":{"default":{"default":"Südostpfeil und Südwestpfeil"}}},{"category":"Sm","key":"292A","mappings":{"default":{"default":"Südwestpfeil und Nordwestpfeil"}}},{"category":"Sm","key":"292D","mappings":{"default":{"default":"Südostpfeil Kreuzung Nordostpfeil"}}},{"category":"Sm","key":"292E","mappings":{"default":{"default":"Nordostpfeil Kreuzung Südostpfeil"}}},{"category":"Sm","key":"292F","mappings":{"default":{"default":"Fallende Diagonale, die Nordostpfeil kreuzt"}}},{"category":"Sm","key":"2930","mappings":{"default":{"default":"Steigende Diagonale, die Südostpfeil kreuzt"}}},{"category":"Sm","key":"2931","mappings":{"default":{"default":"Nordostpfeilüberquerung Nordwestpfeil"}}},{"category":"Sm","key":"2932","mappings":{"default":{"default":"Nordwestpfeilüberquerung Nordostpfeil"}}},{"category":"Sm","key":"2933","mappings":{"default":{"default":"Wellenpfeil, der direkt nach rechts zeigt"}}},{"category":"Sm","key":"2934","mappings":{"default":{"default":"Pfeil nach rechts, dann nach oben gekrümmt"}}},{"category":"Sm","key":"2935","mappings":{"default":{"default":"Pfeil nach rechts, dann nach unten gekrümmt"}}},{"category":"Sm","key":"2936","mappings":{"default":{"default":"Pfeil nach unten, dann nach links gekrümmt"}}},{"category":"Sm","key":"2937","mappings":{"default":{"default":"Pfeil nach unten, dann nach rechts gekrümmt"}}},{"category":"Sm","key":"2938","mappings":{"default":{"default":"Rechtsseitiger Bogen im Uhrzeigersinn"}}},{"category":"Sm","key":"2939","mappings":{"default":{"default":"Bogen der linken Seite gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"293A","mappings":{"default":{"default":"Pfeil oben gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"293B","mappings":{"default":{"default":"Pfeil unten gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"293C","mappings":{"default":{"default":"Pfeil oben im Uhrzeigersinn mit Minus"}}},{"category":"Sm","key":"293D","mappings":{"default":{"default":"Pfeil oben gegen den Uhrzeigersinn mit Plus"}}},{"category":"Sm","key":"293E","mappings":{"default":{"default":"Rechts unten halbkreisförmig im Uhrzeigersinn"}}},{"category":"Sm","key":"293F","mappings":{"default":{"default":"Linker halbkreisförmiger Pfeil gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"2940","mappings":{"default":{"default":"Geschlossener Kreispfeil gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"2941","mappings":{"default":{"default":"Geschlossener Kreispfeil im Uhrzeigersinn"}}},{"category":"Sm","key":"2942","mappings":{"default":{"default":"Pfeil nach rechts über Kurzer Pfeil nach links"}}},{"category":"Sm","key":"2943","mappings":{"default":{"default":"Pfeil nach links über Kurzer Pfeil nach rechts"}}},{"category":"Sm","key":"2944","mappings":{"default":{"default":"Kurzer Pfeil nach rechts Über Pfeil nach links"}}},{"category":"Sm","key":"2945","mappings":{"default":{"default":"Pfeil nach rechts mit Plus unten"}}},{"category":"Sm","key":"2946","mappings":{"default":{"default":"Pfeil nach links mit Plus unten"}}},{"category":"Sm","key":"2947","mappings":{"default":{"default":"Pfeil nach rechts durch X"}}},{"category":"Sm","key":"2948","mappings":{"default":{"default":"Linker rechter Pfeil durch kleinen Kreis"}}},{"category":"Sm","key":"2949","mappings":{"default":{"default":"Aufwärts zweiköpfiger Pfeil vom kleinen Kreis"}}},{"key":"2970","mappings":{"default":{"default":"round implies"}},"category":"Sm"},{"category":"Sm","key":"2971","mappings":{"default":{"default":"Gleichheitszeichen über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2972","mappings":{"default":{"default":"Tilde-Operator über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2973","mappings":{"default":{"default":"Pfeil nach links über Tilde-Operator"}}},{"category":"Sm","key":"2974","mappings":{"default":{"default":"Pfeil nach rechts über Tilde-Operator"}}},{"category":"Sm","key":"2975","mappings":{"default":{"default":"Pfeil nach rechts fast gleich"}}},{"category":"Sm","key":"2976","mappings":{"default":{"default":"Weniger als oben Pfeil nach links"}}},{"category":"Sm","key":"2977","mappings":{"default":{"default":"Pfeil nach links durch weniger als"}}},{"category":"Sm","key":"2978","mappings":{"default":{"default":"Größer als über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2979","mappings":{"default":{"default":"Untersatz über dem Pfeil nach rechts"}}},{"category":"Sm","key":"297A","mappings":{"default":{"default":"Pfeil nach links durch Teilmenge"}}},{"category":"Sm","key":"297B","mappings":{"default":{"default":"Superset über dem Pfeil nach links"}}},{"category":"Sm","key":"29B3","mappings":{"default":{"default":"Leeres Set mit Pfeil rechts oben"}}},{"category":"Sm","key":"29B4","mappings":{"default":{"default":"Leeres Set mit linkem Pfeil oben"}}},{"category":"Sm","key":"29BD","mappings":{"default":{"default":"Pfeil nach oben durch Kreis"}}},{"category":"Sm","key":"29EA","mappings":{"default":{"default":"Schwarzer Diamant mit Pfeil nach unten"}}},{"category":"Sm","key":"29EC","mappings":{"default":{"default":"Weißer Kreis mit Pfeil nach unten"}}},{"category":"Sm","key":"29ED","mappings":{"default":{"default":"Schwarzer Kreis mit Pfeil nach unten"}}},{"category":"Sm","key":"2A17","mappings":{"default":{"default":"Integral mit Pfeil nach links mit Haken"}}},{"category":"So","key":"2B00","mappings":{"default":{"default":"North East White Arrow"}}},{"category":"So","key":"2B01","mappings":{"default":{"default":"Nordwestlicher weißer Pfeil"}}},{"category":"So","key":"2B02","mappings":{"default":{"default":"Südostweißer Pfeil"}}},{"category":"So","key":"2B03","mappings":{"default":{"default":"Südwestweißer Pfeil"}}},{"category":"So","key":"2B04","mappings":{"default":{"default":"Linker rechter weißer Pfeil"}}},{"category":"So","key":"2B05","mappings":{"default":{"default":"Schwarzer Pfeil nach links"}}},{"category":"So","key":"2B06","mappings":{"default":{"default":"Aufwärts schwarzer Pfeil"}}},{"category":"So","key":"2B07","mappings":{"default":{"default":"Abwärts schwarzer Pfeil"}}},{"category":"So","key":"2B08","mappings":{"default":{"default":"Schwarzer Nordostpfeil"}}},{"category":"So","key":"2B09","mappings":{"default":{"default":"Nordwestlicher schwarzer Pfeil"}}},{"category":"So","key":"2B0A","mappings":{"default":{"default":"Schwarzer Südostpfeil"}}},{"category":"So","key":"2B0B","mappings":{"default":{"default":"Südwestlicher schwarzer Pfeil"}}},{"category":"So","key":"2B0C","mappings":{"default":{"default":"Linker rechter schwarzer Pfeil"}}},{"category":"So","key":"2B0D","mappings":{"default":{"default":"Schwarzer Pfeil nach unten"}}},{"category":"So","key":"2B0E","mappings":{"default":{"default":"Pfeil nach rechts mit Spitze nach unten"}}},{"category":"So","key":"2B0F","mappings":{"default":{"default":"Pfeil nach rechts mit Spitze nach oben"}}},{"category":"So","key":"2B10","mappings":{"default":{"default":"Pfeil nach links mit Spitze nach unten"}}},{"category":"So","key":"2B11","mappings":{"default":{"default":"Pfeil nach links mit Spitze nach oben"}}},{"category":"Sm","key":"2B30","mappings":{"default":{"default":"Linker Pfeil mit kleinem Kreis"}}},{"category":"Sm","key":"2B31","mappings":{"default":{"default":"Drei nach links gerichtete Pfeile"}}},{"category":"Sm","key":"2B32","mappings":{"default":{"default":"Linker Pfeil mit Circled Plus"}}},{"category":"Sm","key":"2B33","mappings":{"default":{"default":"Langer nach links gerichteter Squiggle-Pfeil"}}},{"category":"Sm","key":"2B34","mappings":{"default":{"default":"Pfeil nach links mit senkrechtem Strich"}}},{"category":"Sm","key":"2B35","mappings":{"default":{"default":"Doppelpfeil nach links mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2B36","mappings":{"default":{"default":"Doppelpfeil nach links von der Bar"}}},{"category":"Sm","key":"2B37","mappings":{"default":{"default":"Pfeil nach links mit zwei Köpfen"}}},{"category":"Sm","key":"2B38","mappings":{"default":{"default":"Pfeil nach links mit gepunktetem Stamm"}}},{"category":"Sm","key":"2B39","mappings":{"default":{"default":"Pfeil nach links mit Schwanz mit vertikalem Strich"}}},{"category":"Sm","key":"2B3A","mappings":{"default":{"default":"Pfeil nach links mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2B3B","mappings":{"default":{"default":"Nach links gerichteter zweiköpfiger Pfeil mit Schwanz"}}},{"category":"Sm","key":"2B3C","mappings":{"default":{"default":"Nach links gerichteter zweiköpfiger Pfeil mit Schwanz mit vertikalem Strich"}}},{"category":"Sm","key":"2B3D","mappings":{"default":{"default":"Nach links gerichteter zweiköpfiger Pfeil mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2B3E","mappings":{"default":{"default":"Pfeil nach links durch X"}}},{"category":"Sm","key":"2B3F","mappings":{"default":{"default":"Wellenpfeil, der direkt nach links zeigt"}}},{"category":"Sm","key":"2B40","mappings":{"default":{"default":"Gleichheitszeichen über dem Pfeil nach links"}}},{"category":"Sm","key":"2B41","mappings":{"default":{"default":"Reverse-Tilde-Operator Über Linkspfeil"}}},{"category":"Sm","key":"2B42","mappings":{"default":{"default":"Pfeil nach links über der Rückseite fast gleich"}}},{"category":"Sm","key":"2B43","mappings":{"default":{"default":"Pfeil nach rechts durch mehr als"}}},{"category":"Sm","key":"2B44","mappings":{"default":{"default":"Pfeil nach rechts durch Superset"}}},{"category":"So","key":"2B45","mappings":{"default":{"default":"Vierfachpfeil nach links"}}},{"category":"So","key":"2B46","mappings":{"default":{"default":"Vierfachpfeil nach rechts"}}},{"category":"Sm","key":"2B47","mappings":{"default":{"default":"Reverse-Tilde-Operator über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2B48","mappings":{"default":{"default":"Pfeil nach rechts oben fast gleich"}}},{"category":"Sm","key":"2B49","mappings":{"default":{"default":"Tilde-Operator über dem Pfeil nach links"}}},{"category":"Sm","key":"2B4A","mappings":{"default":{"default":"Pfeil nach links oben fast gleich"}}},{"category":"Sm","key":"2B4B","mappings":{"default":{"default":"Pfeil nach links über Reverse-Tilde-Operator"}}},{"category":"Sm","key":"2B4C","mappings":{"default":{"default":"Pfeil nach rechts über Reverse-Tilde-Operator"}}},{"category":"Sm","key":"FFE9","mappings":{"default":{"default":"Halbbreiter Pfeil nach links"}}},{"category":"Sm","key":"FFEA","mappings":{"default":{"default":"Halbbreiter Pfeil nach oben"}}},{"category":"Sm","key":"FFEB","mappings":{"default":{"default":"Halbbreiter Pfeil nach rechts"}}},{"category":"Sm","key":"FFEC","mappings":{"default":{"default":"Halbbreiter Pfeil nach unten"}}}]
+,
+"de/symbols/math_characters.js": 
+[{"locale":"de"},{"category":"Ll","key":"2113","mappings":{"default":{"default":"Skript klein L"}}},{"category":"Sm","key":"2118","mappings":{"default":{"default":"Skript groß P"}}},{"category":"Ll","key":"213C","mappings":{"default":{"default":"pi mit Doppelstrich"}}},{"category":"Ll","key":"213D","mappings":{"default":{"default":"gamma mit Doppelstrich"}}},{"category":"Lu","key":"213E","mappings":{"default":{"default":"groß Gamma mit Doppelstrich"}}},{"category":"Lu","key":"213F","mappings":{"default":{"default":"groß Pi mit Doppelstrich"}}},{"category":"Sm","key":"2140","mappings":{"default":{"default":"Summenzeichen mit Doppelstrich"}}},{"category":"Lu","key":"2145","mappings":{"default":{"default":"groß D kursiv mit Doppelstrich"}}},{"category":"Ll","mappings":{"default":{"default":"d kursiv mit Doppelstrich"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"e kursiv mit Doppelstrich"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"i kursiv mit Doppelstrich"}},"key":"2148"},{"category":"Ll","key":"2149","mappings":{"default":{"default":"j kursiv mit Doppelstrich"}}},{"category":"Ll","key":"1D6A4","mappings":{"default":{"default":"punktloses i kursiv"}}},{"category":"Ll","key":"1D6A5","mappings":{"default":{"default":"punktloses j kursiv"}}}]
+,
+"de/symbols/math_delimiters.js": 
+[{"locale":"de"},{"key":"0028","mappings":{"default":{"default":"Klammer auf"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"Klammer zu"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"eckige Klammer auf"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"eckige Klammer zu"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"geschwungene Klammer auf"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"geschwungene Klammer zu"}},"category":"Pe"},{"category":"Ps","key":"2045","mappings":{"default":{"default":"Linke eckige Klammer mit Stachel"}}},{"category":"Pe","key":"2046","mappings":{"default":{"default":"Rechte eckige Klammer mit Stachel"}}},{"category":"Sm","key":"2308","mappings":{"default":{"default":"linke Aufrundungsklammer"}}},{"category":"Sm","key":"2309","mappings":{"default":{"default":"rechte Aufrundungsklammer"}}},{"category":"Sm","key":"230A","mappings":{"default":{"default":"linke Abrundungsklammer"}}},{"category":"Sm","key":"230B","mappings":{"default":{"default":"rechter Abrundungsklammer"}}},{"category":"So","key":"230C","mappings":{"default":{"default":"unterer rechter Abschnitt"}}},{"category":"So","key":"230D","mappings":{"default":{"default":"Unterer linker Abschnitt"}}},{"category":"So","key":"230E","mappings":{"default":{"default":"Oberer rechter Abschnitt"}}},{"category":"So","key":"230F","mappings":{"default":{"default":"Oberer linker Abschnitt"}}},{"category":"So","key":"231C","mappings":{"default":{"default":"Obere linke Ecke"}}},{"category":"So","key":"231D","mappings":{"default":{"default":"Obere rechte Ecke"}}},{"category":"So","key":"231E","mappings":{"default":{"default":"Untere linke Ecke"}}},{"category":"So","key":"231F","mappings":{"default":{"default":"Rechte untere Ecke"}}},{"category":"Sm","key":"2320","mappings":{"default":{"default":"Obere Hälfte eines Integrals"}}},{"category":"Sm","key":"2321","mappings":{"default":{"default":"Untere Hälfte eines Integrals"}}},{"category":"Ps","key":"2329","mappings":{"default":{"default":"Linke spitze Klammer"}}},{"category":"Pe","key":"232A","mappings":{"default":{"default":"Rechte spitze Klammer"}}},{"category":"Sm","key":"239B","mappings":{"default":{"default":"Oberer Teil der linken Klammer"}}},{"category":"Sm","key":"239C","mappings":{"default":{"default":"Linke Klammerverlängerung"}}},{"category":"Sm","key":"239D","mappings":{"default":{"default":"Unterer Teil der linken Klammer"}}},{"category":"Sm","key":"239E","mappings":{"default":{"default":"Oberer Teil der rechten Klammer"}}},{"category":"Sm","key":"239F","mappings":{"default":{"default":"Rechte Klammerverlängerung"}}},{"category":"Sm","key":"23A0","mappings":{"default":{"default":"Unterer Teil der rechten Klammer"}}},{"category":"Sm","key":"23A1","mappings":{"default":{"default":"Oberer Teil der linken eckigen Klammer"}}},{"category":"Sm","key":"23A2","mappings":{"default":{"default":"Linke eckige Klammerverlängerung"}}},{"category":"Sm","key":"23A3","mappings":{"default":{"default":"unterer Teil der linken eckigen Klammer"}}},{"category":"Sm","key":"23A4","mappings":{"default":{"default":"Oberer Teil der rechten eckigen Klammer"}}},{"category":"Sm","key":"23A5","mappings":{"default":{"default":"Rechte eckige Klammerverlängerung"}}},{"category":"Sm","key":"23A6","mappings":{"default":{"default":"unterer Teil der rechten eckigen Klammer"}}},{"category":"Sm","key":"23A7","mappings":{"default":{"default":"oberer Teil der linken geschweiften Klammer"}}},{"category":"Sm","key":"23A8","mappings":{"default":{"default":"Mittelstück der linken geschweiften Klammer"}}},{"category":"Sm","key":"23A9","mappings":{"default":{"default":"unterer Teil der linken geschweiften Klammer"}}},{"category":"Sm","key":"23AA","mappings":{"default":{"default":"Zwischenteil einer geschweiften Klammer"}}},{"category":"Sm","key":"23AB","mappings":{"default":{"default":"oberer Teil der rechten geschweiften Klammer"}}},{"category":"Sm","key":"23AC","mappings":{"default":{"default":"Mittelstück der rechten geschweiften Klammer"}}},{"category":"Sm","key":"23AD","mappings":{"default":{"default":"unterer Teil der rechten geschweiften Klammer"}}},{"category":"Sm","key":"23AE","mappings":{"default":{"default":"Mittelteil eines Integrals"}}},{"category":"Sm","key":"23AF","mappings":{"default":{"default":"Erweiterung einer Querlinie"}}},{"category":"Sm","key":"23B0","mappings":{"default":{"default":"Geschweiftes Klammerteil oben links oder rechts unten"}}},{"category":"Sm","key":"23B1","mappings":{"default":{"default":"Geschweiftes Klammerteil oben rechts oder unten links"}}},{"category":"Sm","key":"23B2","mappings":{"default":{"default":"Oberer Teil einer Summe"}}},{"category":"Sm","key":"23B3","mappings":{"default":{"default":"Unterer Teil einer Summe"}}},{"key":"23B4","mappings":{"default":{"default":"Obere eckige Klammer"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"Untere eckige Klammer"}},"category":"So"},{"category":"So","key":"23B6","mappings":{"default":{"default":"Untere eckige Klammer auf oberer eckiger Klammer"}}},{"category":"So","key":"23B7","mappings":{"default":{"default":"Unterer Teil des Radikalsymbols"}}},{"category":"So","key":"23B8","mappings":{"default":{"default":"Linke vertikale Boxlinie"}}},{"category":"So","key":"23B9","mappings":{"default":{"default":"Rechte vertikale Boxlinie"}}},{"category":"Sm","key":"23DC","mappings":{"default":{"default":"Obere Klammer"}}},{"category":"Sm","key":"23DD","mappings":{"default":{"default":"Untere Klammer"}}},{"category":"Sm","key":"23DE","mappings":{"default":{"default":"Obere geschweifte Klammer"}}},{"category":"Sm","key":"23DF","mappings":{"default":{"default":"Untere geschweifte Klammer"}}},{"category":"Sm","key":"23E0","mappings":{"default":{"default":"Obere eckige Klammer"}}},{"category":"Sm","key":"23E1","mappings":{"default":{"default":"Untere eckige Klammer"}}},{"category":"Ps","key":"2768","mappings":{"default":{"default":"Mittlere linke Klammerverzierung"}}},{"category":"Pe","key":"2769","mappings":{"default":{"default":"Mittlere rechte Klammerverzierung"}}},{"category":"Ps","key":"276A","mappings":{"default":{"default":"Mittlere abgeflachte linke Klammerverzierung"}}},{"category":"Pe","key":"276B","mappings":{"default":{"default":"Mittlere abgeflachte rechte Klammerverzierung"}}},{"category":"Ps","key":"276C","mappings":{"default":{"default":"Mittlere nach links weisende Winkelhalterung"}}},{"category":"Pe","key":"276D","mappings":{"default":{"default":"Mittlere, rechtwinklige Winkelhalterung"}}},{"category":"Ps","key":"276E","mappings":{"default":{"default":"Schwere nach links weisende Anführungszeichen-Verzierung"}}},{"category":"Pe","key":"276F","mappings":{"default":{"default":"Schwere nach rechts zeigenden Winkel-Anführungszeichen-Verzierung"}}},{"category":"Ps","key":"2770","mappings":{"default":{"default":"Schwere nach links weisende Winkelhalterung"}}},{"category":"Pe","key":"2771","mappings":{"default":{"default":"Schwere, nach rechts weisende Winkelhalterung"}}},{"category":"Ps","key":"2772","mappings":{"default":{"default":"Leichte linke Schildpatt Bracket Ornament"}}},{"category":"Pe","key":"2773","mappings":{"default":{"default":"Leichte rechte Schildpatt-Klammerverzierung"}}},{"category":"Ps","key":"2774","mappings":{"default":{"default":"Mittlere linke geschweifte Klammerverzierung"}}},{"category":"Pe","key":"2775","mappings":{"default":{"default":"Mittlere rechte geschweifte Klammerverzierung"}}},{"category":"Ps","key":"27C5","mappings":{"default":{"default":"Linker S-förmiger Taschenbegrenzer"}}},{"category":"Pe","key":"27C6","mappings":{"default":{"default":"rechter S-förmiger Taschenbegrenzer"}}},{"category":"Ps","key":"27E6","mappings":{"default":{"default":"Mathematische linke weiße eckige Klammer"}}},{"category":"Pe","key":"27E7","mappings":{"default":{"default":"Mathematische rechte weiße eckige Klammer"}}},{"category":"Ps","key":"27E8","mappings":{"default":{"default":"Mathematische linke Winkelklammer"}}},{"category":"Pe","key":"27E9","mappings":{"default":{"default":"Mathematische rechtwinklige Klammer"}}},{"category":"Ps","key":"27EA","mappings":{"default":{"default":"Mathematische linke doppelte Winkelklammer"}}},{"category":"Pe","key":"27EB","mappings":{"default":{"default":"Mathematische rechtwinklige eckige Klammer"}}},{"category":"Ps","key":"27EC","mappings":{"default":{"default":"Mathematische linke Schildkrötenpanzerhalterung"}}},{"category":"Pe","key":"27ED","mappings":{"default":{"default":"Mathematische rechte weiße Schildpatt-Klammer"}}},{"category":"Ps","key":"27EE","mappings":{"default":{"default":"Mathematische linke abgeflachte Klammer"}}},{"category":"Pe","key":"27EF","mappings":{"default":{"default":"Mathematische rechte abgeflachte Klammer"}}},{"category":"Ps","key":"2983","mappings":{"default":{"default":"Linke weiße geschweifte Klammer"}}},{"category":"Pe","key":"2984","mappings":{"default":{"default":"Rechte weiße geschweifte Klammer"}}},{"category":"Ps","key":"2985","mappings":{"default":{"default":"Linke weiße Klammer"}}},{"category":"Pe","key":"2986","mappings":{"default":{"default":"Rechte weiße Klammer"}}},{"category":"Ps","key":"2987","mappings":{"default":{"default":"Z-Notation Linke Bildklammer"}}},{"category":"Pe","key":"2988","mappings":{"default":{"default":"Z-Notation rechte Bildklammer"}}},{"category":"Ps","key":"2989","mappings":{"default":{"default":"Z-Notation Linke Klammer"}}},{"category":"Pe","key":"298A","mappings":{"default":{"default":"Z Notation Right Binding Bracket"}}},{"category":"Ps","key":"298B","mappings":{"default":{"default":"Linke eckige Klammer mit Unterlenker"}}},{"category":"Pe","key":"298C","mappings":{"default":{"default":"Rechte eckige Klammer mit Unterlenker"}}},{"category":"Ps","key":"298D","mappings":{"default":{"default":"Linke eckige Klammer mit Häkchen in der oberen Ecke"}}},{"category":"Pe","key":"298E","mappings":{"default":{"default":"Rechte eckige Klammer mit Tick in der unteren Ecke"}}},{"category":"Ps","key":"298F","mappings":{"default":{"default":"Linke eckige Klammer mit Tick in der unteren Ecke"}}},{"category":"Pe","key":"2990","mappings":{"default":{"default":"Rechte eckige Klammer mit Tick in der oberen Ecke"}}},{"category":"Ps","key":"2991","mappings":{"default":{"default":"Linke Winkelklammer mit Punkt"}}},{"category":"Pe","key":"2992","mappings":{"default":{"default":"Rechtwinklige Klammer mit Punkt"}}},{"category":"Ps","key":"2993","mappings":{"default":{"default":"Linker Bogen weniger als Halterung"}}},{"category":"Pe","key":"2994","mappings":{"default":{"default":"rechter Bogen größer als Halterung"}}},{"category":"Ps","key":"2995","mappings":{"default":{"default":"Doppelter linker Bogen größer als Halterung"}}},{"category":"Pe","key":"2996","mappings":{"default":{"default":"Doppelter rechter Bogen weniger als Halterung"}}},{"category":"Ps","key":"2997","mappings":{"default":{"default":"Linke schwarze Schildkrötenhalterung"}}},{"category":"Pe","key":"2998","mappings":{"default":{"default":"Rechte schwarze Schildpatt-Klammer"}}},{"category":"Ps","key":"29D8","mappings":{"default":{"default":"Linker wackeliger Zaun"}}},{"category":"Pe","key":"29D9","mappings":{"default":{"default":"rechter wackeliger Zaun"}}},{"category":"Ps","key":"29DA","mappings":{"default":{"default":"Linker doppelter wackeliger Zaun"}}},{"category":"Pe","key":"29DB","mappings":{"default":{"default":"rechter doppelter wackeliger Zaun"}}},{"category":"Ps","key":"29FC","mappings":{"default":{"default":"Nach links zeigender gebogener Winkelhalter"}}},{"category":"Pe","key":"29FD","mappings":{"default":{"default":"Nach rechts zeigender gebogener Winkelhalter"}}},{"category":"Ps","key":"2E22","mappings":{"default":{"default":"Obere linke halbe Halterung"}}},{"category":"Pe","key":"2E23","mappings":{"default":{"default":"Obere rechte halbe Klammer"}}},{"category":"Ps","key":"2E24","mappings":{"default":{"default":"Linke halbe halterung unten"}}},{"category":"Pe","key":"2E25","mappings":{"default":{"default":"Untere rechte halbe Halterung"}}},{"category":"Ps","key":"2E26","mappings":{"default":{"default":"U-Halterung links seitlich"}}},{"category":"Pe","key":"2E27","mappings":{"default":{"default":"U-Halterung rechts seitlich"}}},{"category":"Ps","key":"2E28","mappings":{"default":{"default":"Linke doppelte Klammer"}}},{"category":"Pe","key":"2E29","mappings":{"default":{"default":"Rechte doppelte Klammer"}}},{"category":"Ps","key":"3008","mappings":{"default":{"default":"Linke Winkelklammer"}}},{"category":"Pe","key":"3009","mappings":{"default":{"default":"Rechtwinklige Halterung"}}},{"category":"Ps","key":"300A","mappings":{"default":{"default":"Linke Doppelwinkelhalterung"}}},{"category":"Pe","key":"300B","mappings":{"default":{"default":"Rechte Doppelwinkelhalterung"}}},{"category":"Ps","key":"300C","mappings":{"default":{"default":"Linke Eckklammer"}}},{"category":"Pe","key":"300D","mappings":{"default":{"default":"Rechte Eckhalterung"}}},{"category":"Ps","key":"300E","mappings":{"default":{"default":"Linke weiße Eckhalterung"}}},{"category":"Pe","key":"300F","mappings":{"default":{"default":"Rechte weiße Eckhalterung"}}},{"category":"Ps","key":"3010","mappings":{"default":{"default":"Linke schwarze linsenförmige Halterung"}}},{"category":"Pe","key":"3011","mappings":{"default":{"default":"Rechte schwarze linsenförmige Halterung"}}},{"category":"Ps","key":"3014","mappings":{"default":{"default":"Linke Schildpatt-Klammer"}}},{"category":"Pe","key":"3015","mappings":{"default":{"default":"Rechte Schildpattlasche"}}},{"category":"Ps","key":"3016","mappings":{"default":{"default":"Linke weiße linsenförmige Halterung"}}},{"category":"Pe","key":"3017","mappings":{"default":{"default":"Rechte weiße linsenförmige Halterung"}}},{"category":"Ps","key":"3018","mappings":{"default":{"default":"Linke weiße Schildpatt-Klammer"}}},{"category":"Pe","key":"3019","mappings":{"default":{"default":"Rechte weiße Schildpatt-Klammer"}}},{"category":"Ps","key":"301A","mappings":{"default":{"default":"Linke weiße eckige Klammer"}}},{"category":"Pe","key":"301B","mappings":{"default":{"default":"Rechte weiße eckige Klammer"}}},{"category":"Ps","key":"301D","mappings":{"default":{"default":"Doppelte Anführungszeichen in umgekehrter Reihenfolge"}}},{"category":"Pe","key":"301E","mappings":{"default":{"default":"Doppelte Anführungszeichen"}}},{"category":"Pe","key":"301F","mappings":{"default":{"default":"Niedriges doppeltes Prime-Anführungszeichen"}}},{"category":"Ps","key":"FD3E","mappings":{"default":{"default":"Verzierte linke Klammer"}}},{"category":"Pe","key":"FD3F","mappings":{"default":{"default":"Verzierte rechte Klammer"}}},{"category":"Ps","key":"FE17","mappings":{"default":{"default":"Präsentationsformular für vertikale linke weiße linsenförmige Halterung"}}},{"category":"Pe","key":"FE18","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige linsenförmige Halterung"}}},{"category":"Ps","key":"FE35","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Klammer"}}},{"category":"Pe","key":"FE36","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte Klammer"}}},{"category":"Ps","key":"FE37","mappings":{"default":{"default":"Präsentationsformular für vertikale linke geschweifte Klammer"}}},{"category":"Pe","key":"FE38","mappings":{"default":{"default":"Präsentationsformular für vertikale, recht geschweifte Klammer"}}},{"category":"Ps","key":"FE39","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Schildpattklammer"}}},{"category":"Pe","key":"FE3A","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte Schildpatt-Klammer"}}},{"category":"Ps","key":"FE3B","mappings":{"default":{"default":"Präsentationsformular für vertikale linke schwarze linsenförmige Halterung"}}},{"category":"Pe","key":"FE3C","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige schwarze linsenförmige Halterung"}}},{"category":"Ps","key":"FE3D","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Doppelwinkelhalterung"}}},{"category":"Pe","key":"FE3E","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige, rechtwinklige Halterung"}}},{"category":"Ps","key":"FE3F","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Winkelhalterung"}}},{"category":"Pe","key":"FE40","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige Halterung"}}},{"category":"Ps","key":"FE41","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Eckhalterung"}}},{"category":"Pe","key":"FE42","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte Eckhalterung"}}},{"category":"Ps","key":"FE43","mappings":{"default":{"default":"Präsentationsformular für vertikale linke weiße Eckhalterung"}}},{"category":"Pe","key":"FE44","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte weiße Eckhalterung"}}},{"category":"Ps","key":"FE47","mappings":{"default":{"default":"Präsentationsformular für vertikale linke eckige Klammer"}}},{"category":"Pe","key":"FE48","mappings":{"default":{"default":"Präsentationsformular für vertikale eckige Klammer"}}},{"category":"Ps","key":"FE59","mappings":{"default":{"default":"Kleine linke Klammer"}}},{"category":"Pe","key":"FE5A","mappings":{"default":{"default":"Kleine rechte Klammer"}}},{"category":"Ps","key":"FE5B","mappings":{"default":{"default":"Kleine linke geschweifte Klammer"}}},{"category":"Pe","key":"FE5C","mappings":{"default":{"default":"Kleine rechte geschweifte Klammer"}}},{"category":"Ps","key":"FE5D","mappings":{"default":{"default":"Kleine linke Schildpatt-Klammer"}}},{"category":"Pe","key":"FE5E","mappings":{"default":{"default":"Kleine rechte Schildpatt-Klammer"}}},{"category":"Ps","key":"FF08","mappings":{"default":{"default":"Linke Klammer in voller Breite"}}},{"category":"Pe","key":"FF09","mappings":{"default":{"default":"Rechte Klammer mit voller Breite"}}},{"category":"Ps","key":"FF3B","mappings":{"default":{"default":"Linke eckige Klammer mit voller Breite"}}},{"category":"Pe","key":"FF3D","mappings":{"default":{"default":"Rechteckige Klammer mit voller Breite"}}},{"category":"Ps","key":"FF5B","mappings":{"default":{"default":"Linke geschweifte Klammer mit voller Breite"}}},{"category":"Pe","key":"FF5D","mappings":{"default":{"default":"Rechtwinklige Klammer mit voller Breite"}}},{"category":"Ps","key":"FF5F","mappings":{"default":{"default":"Linke weiße Klammer mit voller Breite"}}},{"category":"Pe","key":"FF60","mappings":{"default":{"default":"Rechte breite weiße Klammer"}}},{"category":"Ps","key":"FF62","mappings":{"default":{"default":"Halbe breite linke eckklammer"}}},{"category":"Pe","key":"FF63","mappings":{"default":{"default":"Halbe breite rechte eckklammer"}}}]
+,
+"de/symbols/math_geometry.js": 
+[{"locale":"de"},{"category":"So","key":"2500","mappings":{"default":{"default":"Box Drawings Light Horizontal"}}},{"category":"So","key":"2501","mappings":{"default":{"default":"Box Drawings Schwere Horizontale"}}},{"category":"So","key":"2502","mappings":{"default":{"default":"Box Drawings Light Vertical"}}},{"category":"So","key":"2503","mappings":{"default":{"default":"Box Drawings Schwere Vertikale"}}},{"category":"So","key":"2504","mappings":{"default":{"default":"Box-Zeichnungen Licht Triple Dash Horizontal"}}},{"category":"So","key":"2505","mappings":{"default":{"default":"Box Drawings Heavy Triple Dash Horizontal"}}},{"category":"So","key":"2506","mappings":{"default":{"default":"Box Drawings Light Triple Dash Vertical"}}},{"category":"So","key":"2507","mappings":{"default":{"default":"Box Drawings Heavy Triple Dash Vertical"}}},{"category":"So","key":"2508","mappings":{"default":{"default":"Box Drawings Light Quadruple Dash Horizontal"}}},{"category":"So","key":"2509","mappings":{"default":{"default":"Box Drawings Heavy Quadruple Dash Horizontal"}}},{"category":"So","key":"250A","mappings":{"default":{"default":"Box Drawings Light Quadruple Dash Vertical"}}},{"category":"So","key":"250B","mappings":{"default":{"default":"Box Drawings Heavy Quadruple Dash Vertical"}}},{"category":"So","key":"250C","mappings":{"default":{"default":"Box Drawings Light Down und Right"}}},{"category":"So","key":"250D","mappings":{"default":{"default":"Box Drawings Down Light und Right Heavy"}}},{"category":"So","key":"250E","mappings":{"default":{"default":"Box Drawings Down Heavy und Right Light"}}},{"category":"So","key":"250F","mappings":{"default":{"default":"Box Drawings Heavy Down und Right"}}},{"category":"So","key":"2510","mappings":{"default":{"default":"Box Drawings Light Down und Links"}}},{"category":"So","key":"2511","mappings":{"default":{"default":"Box Drawings Down Light und Left Heavy"}}},{"category":"So","key":"2512","mappings":{"default":{"default":"Box Drawings Down Heavy und Left Light"}}},{"category":"So","key":"2513","mappings":{"default":{"default":"Box Drawings Heavy Down und Left"}}},{"category":"So","key":"2514","mappings":{"default":{"default":"Box-Zeichnungen leuchten auf und richtig"}}},{"category":"So","key":"2515","mappings":{"default":{"default":"Box Drawings Up Light und Right Heavy"}}},{"category":"So","key":"2516","mappings":{"default":{"default":"Box Drawings Up Heavy und Right Light"}}},{"category":"So","key":"2517","mappings":{"default":{"default":"Box Drawings Heavy Up und Right"}}},{"category":"So","key":"2518","mappings":{"default":{"default":"Box-Zeichnungen leuchten und links"}}},{"category":"So","key":"2519","mappings":{"default":{"default":"Box Drawings Up Light und Left Heavy"}}},{"category":"So","key":"251A","mappings":{"default":{"default":"Box Drawings Up Heavy und Left Light"}}},{"category":"So","key":"251B","mappings":{"default":{"default":"Box Drawings Heavy Up und Links"}}},{"category":"So","key":"251C","mappings":{"default":{"default":"Box Drawings Light Vertical und Right"}}},{"category":"So","key":"251D","mappings":{"default":{"default":"Box Drawings Vertical Light und Right Heavy"}}},{"category":"So","key":"251E","mappings":{"default":{"default":"Box Drawings Up Heavy und Right Down Light"}}},{"category":"So","key":"251F","mappings":{"default":{"default":"Box Drawings Down Heavy und Right Up Light"}}},{"category":"So","key":"2520","mappings":{"default":{"default":"Box Drawings Vertical Heavy und Right Light"}}},{"category":"So","key":"2521","mappings":{"default":{"default":"Box Drawings Down Light und Right Up Heavy"}}},{"category":"So","key":"2522","mappings":{"default":{"default":"Box Drawings Up Light und Right Down Heavy"}}},{"category":"So","key":"2523","mappings":{"default":{"default":"Box Drawings Heavy Vertical und Right"}}},{"category":"So","key":"2524","mappings":{"default":{"default":"Box Drawings Light Vertical und Left"}}},{"category":"So","key":"2525","mappings":{"default":{"default":"Box Drawings Vertical Light und Left Heavy"}}},{"category":"So","key":"2526","mappings":{"default":{"default":"Box Drawings Up Heavy und Left Down Light"}}},{"category":"So","key":"2527","mappings":{"default":{"default":"Box Drawings Down Heavy und Left Up Light"}}},{"category":"So","key":"2528","mappings":{"default":{"default":"Box Drawings Vertical Heavy und Left Light"}}},{"category":"So","key":"2529","mappings":{"default":{"default":"Box Drawings Down Light und Left Up Heavy"}}},{"category":"So","key":"252A","mappings":{"default":{"default":"Box Drawings Up Light und Left Down Heavy"}}},{"category":"So","key":"252B","mappings":{"default":{"default":"Box Drawings Heavy Vertical und Left"}}},{"category":"So","key":"252C","mappings":{"default":{"default":"Box-Zeichnungen leicht und horizontal"}}},{"category":"So","key":"252D","mappings":{"default":{"default":"Box Drawings Left Heavy und Right Down Light"}}},{"category":"So","key":"252E","mappings":{"default":{"default":"Box Drawings Right Heavy und Left Down Light"}}},{"category":"So","key":"252F","mappings":{"default":{"default":"Box Drawings Down Light und Horizontal Heavy"}}},{"category":"So","key":"2530","mappings":{"default":{"default":"Box-Zeichnungen für schweres und horizontales Licht"}}},{"category":"So","key":"2531","mappings":{"default":{"default":"Box Drawings Right Light und Left Down Heavy"}}},{"category":"So","key":"2532","mappings":{"default":{"default":"Box Drawings Left Light und Right Down Heavy"}}},{"category":"So","key":"2533","mappings":{"default":{"default":"Box-Zeichnungen nach unten und horizontal"}}},{"category":"So","key":"2534","mappings":{"default":{"default":"Box-Zeichnungen leuchten und horizontal"}}},{"category":"So","key":"2535","mappings":{"default":{"default":"Box Drawings Left Heavy und Right Up Light"}}},{"category":"So","key":"2536","mappings":{"default":{"default":"Box Drawings Right Heavy und Left Up Light"}}},{"category":"So","key":"2537","mappings":{"default":{"default":"Box Drawings Up Light und Horizontal Heavy"}}},{"category":"So","key":"2538","mappings":{"default":{"default":"Box-Zeichnungen für schweres und horizontales Licht"}}},{"category":"So","key":"2539","mappings":{"default":{"default":"Box Drawings Right Light und Left Up Heavy"}}},{"category":"So","key":"253A","mappings":{"default":{"default":"Box Drawings Left Light und Right Up Heavy"}}},{"category":"So","key":"253B","mappings":{"default":{"default":"Box-Zeichnungen schwer und horizontal"}}},{"category":"So","key":"253C","mappings":{"default":{"default":"Box Drawings Light vertikal und horizontal"}}},{"category":"So","key":"253D","mappings":{"default":{"default":"Kastenzeichnungen links schweres und rechtes vertikales Licht"}}},{"category":"So","key":"253E","mappings":{"default":{"default":"Box Drawings Right Heavy und Left Vertical Light"}}},{"category":"So","key":"253F","mappings":{"default":{"default":"Box Drawings Vertical Light und Horizontal Heavy"}}},{"category":"So","key":"2540","mappings":{"default":{"default":"Box Drawings Up Heavy und Down Horizontal Light"}}},{"category":"So","key":"2541","mappings":{"default":{"default":"Box Drawings Down Heavy und Up Horizontal Light"}}},{"category":"So","key":"2542","mappings":{"default":{"default":"Kastenzeichnungen Vertikales schweres und horizontales Licht"}}},{"category":"So","key":"2543","mappings":{"default":{"default":"Box Drawings Left Up Heavy und Right Down Light"}}},{"category":"So","key":"2544","mappings":{"default":{"default":"Box Drawings Right Up Heavy und Left Down Light"}}},{"category":"So","key":"2545","mappings":{"default":{"default":"Box Drawings Left Down Heavy und Right Up Light"}}},{"category":"So","key":"2546","mappings":{"default":{"default":"Box Drawings Right Down Heavy und Left Up Light"}}},{"category":"So","key":"2547","mappings":{"default":{"default":"Box Drawings Down Light und Up Horizontal Heavy"}}},{"category":"So","key":"2548","mappings":{"default":{"default":"Box Drawings Up Light und Down Horizontal Heavy"}}},{"category":"So","key":"2549","mappings":{"default":{"default":"Box Drawings Right Light und Left Vertical Heavy"}}},{"category":"So","key":"254A","mappings":{"default":{"default":"Box Drawings Left Light und Right Vertical Heavy"}}},{"category":"So","key":"254B","mappings":{"default":{"default":"Box Drawings Heavy vertikal und horizontal"}}},{"category":"So","key":"254C","mappings":{"default":{"default":"Box Drawings Light Double Dash Horizontal"}}},{"category":"So","key":"254D","mappings":{"default":{"default":"Box Drawings Heavy Double Dash Horizontal"}}},{"category":"So","key":"254E","mappings":{"default":{"default":"Box Drawings Light Double Dash Vertical"}}},{"category":"So","key":"254F","mappings":{"default":{"default":"Box Drawings Heavy Double Dash Vertical"}}},{"category":"So","key":"2550","mappings":{"default":{"default":"Box-Zeichnungen doppelt horizontal"}}},{"category":"So","key":"2551","mappings":{"default":{"default":"Box Drawings Double Vertical"}}},{"category":"So","key":"2552","mappings":{"default":{"default":"Box Drawings Down Single und Right Double"}}},{"category":"So","key":"2553","mappings":{"default":{"default":"Box Drawings Down Double und Right Single"}}},{"category":"So","key":"2554","mappings":{"default":{"default":"Box Drawings Double Down und Right"}}},{"category":"So","key":"2555","mappings":{"default":{"default":"Box Drawings Down Single und Left Double"}}},{"category":"So","key":"2556","mappings":{"default":{"default":"Box Drawings Down Double und Left Single"}}},{"category":"So","key":"2557","mappings":{"default":{"default":"Box Drawings Double Down und Links"}}},{"category":"So","key":"2558","mappings":{"default":{"default":"Box Drawings Up Single und Right Double"}}},{"category":"So","key":"2559","mappings":{"default":{"default":"Box Drawings Up Double und Right Single"}}},{"category":"So","key":"255A","mappings":{"default":{"default":"Box-Zeichnungen verdoppeln und rechts"}}},{"category":"So","key":"255B","mappings":{"default":{"default":"Box Drawings Up Single und Left Double"}}},{"category":"So","key":"255C","mappings":{"default":{"default":"Box Drawings Up Double und Left Single"}}},{"category":"So","key":"255D","mappings":{"default":{"default":"Box-Zeichnungen verdoppeln und links"}}},{"category":"So","key":"255E","mappings":{"default":{"default":"Box Drawings Vertical Single und Right Double"}}},{"category":"So","key":"255F","mappings":{"default":{"default":"Box Drawings Vertical Double und Right Single"}}},{"category":"So","key":"2560","mappings":{"default":{"default":"Box Drawings Double Vertical und Right"}}},{"category":"So","key":"2561","mappings":{"default":{"default":"Box Drawings Vertical Single und Left Double"}}},{"category":"So","key":"2562","mappings":{"default":{"default":"Box Drawings Vertical Double und Left Single"}}},{"category":"So","key":"2563","mappings":{"default":{"default":"Box Drawings Double Vertical und Left"}}},{"category":"So","key":"2564","mappings":{"default":{"default":"Box Drawings Down Single und Horizontal Double"}}},{"category":"So","key":"2565","mappings":{"default":{"default":"Box Drawings Down Double und Horizontal Single"}}},{"category":"So","key":"2566","mappings":{"default":{"default":"Box Drawings Double Down und Horizontal"}}},{"category":"So","key":"2567","mappings":{"default":{"default":"Box Drawings Up Single und Horizontal Double"}}},{"category":"So","key":"2568","mappings":{"default":{"default":"Box Drawings Up Double und Horizontal Single"}}},{"category":"So","key":"2569","mappings":{"default":{"default":"Box-Zeichnungen verdoppeln und horizontal"}}},{"category":"So","key":"256A","mappings":{"default":{"default":"Box Drawings Vertical Single und Horizontal Double"}}},{"category":"So","key":"256B","mappings":{"default":{"default":"Box Drawings Vertical Double und Horizontal Single"}}},{"category":"So","key":"256C","mappings":{"default":{"default":"Box-Zeichnungen doppelt vertikal und horizontal"}}},{"category":"So","key":"256D","mappings":{"default":{"default":"Box Drawings Light Arc Down und Right"}}},{"category":"So","key":"256E","mappings":{"default":{"default":"Box Drawings Light Arc Down und Links"}}},{"category":"So","key":"256F","mappings":{"default":{"default":"Box Drawings Light Arc Up und links"}}},{"category":"So","key":"2570","mappings":{"default":{"default":"Box Drawings Light Arc Up und rechts"}}},{"category":"So","key":"2571","mappings":{"default":{"default":"Box Drawings Light Diagonal Oben Rechts Nach Unten Links"}}},{"category":"So","key":"2572","mappings":{"default":{"default":"Box Drawings Light Diagonal von oben links nach rechts unten"}}},{"category":"So","key":"2573","mappings":{"default":{"default":"Box Zeichnungen Light Diagonal Cross"}}},{"category":"So","key":"2574","mappings":{"default":{"default":"Box-Zeichnungen Light Left"}}},{"category":"So","key":"2575","mappings":{"default":{"default":"Box-Zeichnungen leuchten auf"}}},{"category":"So","key":"2576","mappings":{"default":{"default":"Box-Zeichnungen Light Right"}}},{"category":"So","key":"2577","mappings":{"default":{"default":"Box Drawings Light Down"}}},{"category":"So","key":"2578","mappings":{"default":{"default":"Box Drawings Heavy Left"}}},{"category":"So","key":"2579","mappings":{"default":{"default":"Box Drawings Heavy Up"}}},{"category":"So","key":"257A","mappings":{"default":{"default":"Box Drawings Heavy Right"}}},{"category":"So","key":"257B","mappings":{"default":{"default":"Box Drawings Heavy Down"}}},{"category":"So","key":"257C","mappings":{"default":{"default":"Box Drawings Light Left und Heavy Right"}}},{"category":"So","key":"257D","mappings":{"default":{"default":"Box Drawings Light Up und Heavy Down"}}},{"category":"So","key":"257E","mappings":{"default":{"default":"Box Drawings Heavy Left und Light Right"}}},{"category":"So","key":"257F","mappings":{"default":{"default":"Box Drawings Heavy Up und Light Down"}}},{"category":"So","key":"2580","mappings":{"default":{"default":"Block der oberen Hälfte"}}},{"category":"So","key":"2581","mappings":{"default":{"default":"Unterer achter Block"}}},{"category":"So","key":"2582","mappings":{"default":{"default":"Unterer Viertelblock"}}},{"category":"So","key":"2583","mappings":{"default":{"default":"Drei Achtel-Block senken"}}},{"category":"So","key":"2584","mappings":{"default":{"default":"Block der unteren Hälfte"}}},{"category":"So","key":"2585","mappings":{"default":{"default":"Fünf Achtel Block"}}},{"category":"So","key":"2586","mappings":{"default":{"default":"Unterer Dreiviertelblock"}}},{"category":"So","key":"2587","mappings":{"default":{"default":"Unterer Sieben Achtel-Block"}}},{"category":"So","key":"2588","mappings":{"default":{"default":"Voller Block"}}},{"category":"So","key":"2589","mappings":{"default":{"default":"Linker Sieben Achtel Block"}}},{"category":"So","key":"258A","mappings":{"default":{"default":"Linker Dreiviertelblock"}}},{"category":"So","key":"258B","mappings":{"default":{"default":"Linker Block mit fünf Achteln"}}},{"category":"So","key":"258C","mappings":{"default":{"default":"Linke halbe Block"}}},{"category":"So","key":"258D","mappings":{"default":{"default":"Block drei Achtel"}}},{"category":"So","key":"258E","mappings":{"default":{"default":"Linke einen Viertelblock"}}},{"category":"So","key":"258F","mappings":{"default":{"default":"Linker achter Block"}}},{"category":"So","key":"2590","mappings":{"default":{"default":"Rechte halbe Block"}}},{"category":"So","key":"2591","mappings":{"default":{"default":"Lichtschatten"}}},{"category":"So","key":"2592","mappings":{"default":{"default":"Mittlere Schatten"}}},{"category":"So","key":"2593","mappings":{"default":{"default":"Dunkler Schatten"}}},{"category":"So","key":"2594","mappings":{"default":{"default":"Oberer achter Block"}}},{"category":"So","key":"2595","mappings":{"default":{"default":"rechter achter Block"}}},{"category":"So","key":"2596","mappings":{"default":{"default":"Quadrant unten links"}}},{"category":"So","key":"2597","mappings":{"default":{"default":"Quadrant rechts unten"}}},{"category":"So","key":"2598","mappings":{"default":{"default":"Quadrant oben links"}}},{"category":"So","key":"2599","mappings":{"default":{"default":"Quadrant oben links und unten links und rechts unten"}}},{"category":"So","key":"259A","mappings":{"default":{"default":"Quadrant oben links und rechts unten"}}},{"category":"So","key":"259B","mappings":{"default":{"default":"Quadrant oben links und oben rechts und unten links"}}},{"category":"So","key":"259C","mappings":{"default":{"default":"Quadrant oben links und oben rechts und unten rechts"}}},{"category":"So","key":"259D","mappings":{"default":{"default":"Quadrant oben rechts"}}},{"category":"So","key":"259E","mappings":{"default":{"default":"Quadrant oben rechts und unten links"}}},{"category":"So","key":"259F","mappings":{"default":{"default":"Quadrant oben rechts und unten links und unten rechts"}}},{"category":"So","key":"25A0","mappings":{"default":{"default":"Schwarzes Quadrat"}}},{"category":"So","key":"25A1","mappings":{"default":{"default":"Weißes Quadrat"}}},{"category":"So","key":"25A2","mappings":{"default":{"default":"Weißes Quadrat mit abgerundeten Ecken"}}},{"category":"So","key":"25A3","mappings":{"default":{"default":"Weißes Quadrat, das schwarzes kleines Quadrat enthält"}}},{"category":"So","key":"25A4","mappings":{"default":{"default":"Quadrat mit horizontaler Füllung"}}},{"category":"So","key":"25A5","mappings":{"default":{"default":"Quadrat mit vertikaler Füllung"}}},{"category":"So","key":"25A6","mappings":{"default":{"default":"Quadrat mit orthogonaler Schraffurfüllung"}}},{"category":"So","key":"25A7","mappings":{"default":{"default":"Quadrat mit Oben links nach rechts unten füllen"}}},{"category":"So","key":"25A8","mappings":{"default":{"default":"Quadrat mit oberer rechter bis unterer linker Füllung"}}},{"category":"So","key":"25A9","mappings":{"default":{"default":"Quadrat mit diagonaler Schraffurfüllung"}}},{"category":"So","key":"25AA","mappings":{"default":{"default":"Schwarzes kleines Quadrat"}}},{"category":"So","key":"25AB","mappings":{"default":{"default":"Weißes kleines Quadrat"}}},{"category":"So","key":"25AC","mappings":{"default":{"default":"Schwarzes Rechteck"}}},{"category":"So","key":"25AD","mappings":{"default":{"default":"Weißes Rechteck"}}},{"category":"So","key":"25AE","mappings":{"default":{"default":"Schwarzes vertikales Rechteck"}}},{"category":"So","key":"25AF","mappings":{"default":{"default":"Weißes vertikales Rechteck"}}},{"category":"So","key":"25B0","mappings":{"default":{"default":"Schwarzes Parallelogramm"}}},{"category":"So","key":"25B1","mappings":{"default":{"default":"Weißes Parallelogramm"}}},{"category":"So","key":"25B2","mappings":{"default":{"default":"Schwarzes nach oben zeigendes Dreieck"}}},{"category":"So","key":"25B3","mappings":{"default":{"default":"Weißes nach oben zeigendes Dreieck"}}},{"category":"So","key":"25B4","mappings":{"default":{"default":"Schwarzes nach oben zeigendes kleines Dreieck"}}},{"category":"So","key":"25B5","mappings":{"default":{"default":"Weißes nach oben zeigendes kleines Dreieck"}}},{"category":"So","key":"25B6","mappings":{"default":{"default":"Schwarzes rechtwinkliges Dreieck"}}},{"category":"Sm","key":"25B7","mappings":{"default":{"default":"Weißes rechtwinkliges Dreieck"}}},{"category":"So","key":"25B8","mappings":{"default":{"default":"Schwarzes nach rechts zeigendes kleines Dreieck"}}},{"category":"So","key":"25B9","mappings":{"default":{"default":"Weißes nach rechts zeigendes kleines Dreieck"}}},{"category":"So","key":"25BA","mappings":{"default":{"default":"Schwarzer nach rechts zeigender Zeiger"}}},{"category":"So","key":"25BB","mappings":{"default":{"default":"Weißer nach rechts zeigender Zeiger"}}},{"category":"So","key":"25BC","mappings":{"default":{"default":"Schwarzes Abwärtsdreieck"}}},{"category":"So","key":"25BD","mappings":{"default":{"default":"Weißes nach unten zeigendes Dreieck"}}},{"category":"So","key":"25BE","mappings":{"default":{"default":"Schwarzes, nach unten zeigendes kleines Dreieck"}}},{"category":"So","key":"25BF","mappings":{"default":{"default":"Weißes kleines Dreieck"}}},{"category":"So","key":"25C0","mappings":{"default":{"default":"Schwarzes nach links zeigendes Dreieck"}}},{"category":"Sm","key":"25C1","mappings":{"default":{"default":"Weißes nach links zeigendes Dreieck"}}},{"category":"So","key":"25C2","mappings":{"default":{"default":"Schwarzes nach links zeigendes kleines Dreieck"}}},{"category":"So","key":"25C3","mappings":{"default":{"default":"Weißes nach links zeigendes kleines Dreieck"}}},{"category":"So","key":"25C4","mappings":{"default":{"default":"Schwarzer nach links zeigender Zeiger"}}},{"category":"So","key":"25C5","mappings":{"default":{"default":"Weißer nach links zeigender Zeiger"}}},{"category":"So","key":"25C6","mappings":{"default":{"default":"Schwarzer Diamant"}}},{"category":"So","key":"25C7","mappings":{"default":{"default":"Weißer Diamant"}}},{"category":"So","key":"25C8","mappings":{"default":{"default":"Weißer Diamant mit schwarzem kleinem Diamant"}}},{"category":"So","key":"25C9","mappings":{"default":{"default":"Fischauge"}}},{"category":"So","key":"25CA","mappings":{"default":{"default":"Raute"}}},{"category":"So","key":"25CB","mappings":{"default":{"default":"Weißer Kreis"}}},{"category":"So","key":"25CC","mappings":{"default":{"default":"Gepunkteter Kreis"}}},{"category":"So","key":"25CD","mappings":{"default":{"default":"Kreis mit vertikaler Füllung"}}},{"category":"So","key":"25CE","mappings":{"default":{"default":"Bullseye"}}},{"category":"So","key":"25CF","mappings":{"default":{"default":"Schwarzer Kreis"}}},{"category":"So","key":"25D0","mappings":{"default":{"default":"Kreis mit linker Hälfte schwarz"}}},{"category":"So","key":"25D1","mappings":{"default":{"default":"Kreis mit rechter Hälfte schwarz"}}},{"category":"So","key":"25D2","mappings":{"default":{"default":"Kreis mit unterer Hälfte Schwarz"}}},{"category":"So","key":"25D3","mappings":{"default":{"default":"Kreis mit oberer Hälfte schwarz"}}},{"category":"So","key":"25D4","mappings":{"default":{"default":"Kreis mit oberem rechten Quadranten schwarz"}}},{"category":"So","key":"25D5","mappings":{"default":{"default":"Kreis mit ganzem oberen linken Quadranten schwarz"}}},{"category":"So","key":"25D6","mappings":{"default":{"default":"Linker halber schwarzer Kreis"}}},{"category":"So","key":"25D7","mappings":{"default":{"default":"rechter halber schwarzer Kreis"}}},{"category":"So","key":"25D8","mappings":{"default":{"default":"Inverse Kugel"}}},{"category":"So","key":"25D9","mappings":{"default":{"default":"Inverse weißer Kreis"}}},{"category":"So","key":"25DA","mappings":{"default":{"default":"Umgekehrter weißer Kreis der oberen Hälfte"}}},{"category":"So","key":"25DB","mappings":{"default":{"default":"Inverser weißer Kreis der unteren Hälfte"}}},{"category":"So","key":"25DC","mappings":{"default":{"default":"Kreisbogen des oberen linken Quadranten"}}},{"category":"So","key":"25DD","mappings":{"default":{"default":"Kreisbogen im oberen rechten Quadranten"}}},{"category":"So","key":"25DE","mappings":{"default":{"default":"Kreisbogen des rechten unteren Quadranten"}}},{"category":"So","key":"25DF","mappings":{"default":{"default":"Kreisbogen des unteren linken Quadranten"}}},{"category":"So","key":"25E0","mappings":{"default":{"default":"Oberer Halbkreis"}}},{"category":"So","key":"25E1","mappings":{"default":{"default":"Unterer Halbkreis"}}},{"category":"So","key":"25E2","mappings":{"default":{"default":"Schwarzes rechtes Dreieck"}}},{"category":"So","key":"25E3","mappings":{"default":{"default":"Schwarzes unteres linkes Dreieck"}}},{"category":"So","key":"25E4","mappings":{"default":{"default":"Schwarzes oberes linkes Dreieck"}}},{"category":"So","key":"25E5","mappings":{"default":{"default":"Schwarzes rechtes Dreieck"}}},{"category":"So","key":"25E6","mappings":{"default":{"default":"Weiße Kugel"}}},{"category":"So","key":"25E7","mappings":{"default":{"default":"Quadrat mit linker Hälfte schwarz"}}},{"category":"So","key":"25E8","mappings":{"default":{"default":"Quadrat mit rechter Hälfte schwarz"}}},{"category":"So","key":"25E9","mappings":{"default":{"default":"Quadrat mit der oberen linken Diagonalenhälfte schwarz"}}},{"category":"So","key":"25EA","mappings":{"default":{"default":"Quadrat mit unterer rechter diagonaler Hälfte schwarz"}}},{"category":"So","key":"25EB","mappings":{"default":{"default":"Weißes Quadrat mit senkrechter Linie"}}},{"category":"So","key":"25EC","mappings":{"default":{"default":"Weißes nach oben zeigendes Dreieck mit Punkt"}}},{"category":"So","key":"25ED","mappings":{"default":{"default":"Aufwärtszeigendes Dreieck mit linker Hälfte schwarz"}}},{"category":"So","key":"25EE","mappings":{"default":{"default":"Aufwärtszeigendes Dreieck mit rechter Hälfte schwarz"}}},{"category":"So","key":"25EF","mappings":{"default":{"default":"Großer Kreis"}}},{"category":"So","key":"25F0","mappings":{"default":{"default":"Weißes Quadrat mit oberem linken Quadranten"}}},{"category":"So","key":"25F1","mappings":{"default":{"default":"Weißes Quadrat mit unterem linken Quadranten"}}},{"category":"So","key":"25F2","mappings":{"default":{"default":"Weißes Quadrat mit unterem rechten Quadranten"}}},{"category":"So","key":"25F3","mappings":{"default":{"default":"Weißes Quadrat mit rechtem oberen Quadranten"}}},{"category":"So","key":"25F4","mappings":{"default":{"default":"Weißer Kreis mit oberem linkem Quadranten"}}},{"category":"So","key":"25F5","mappings":{"default":{"default":"Weißer Kreis mit unterem linken Quadranten"}}},{"category":"So","key":"25F6","mappings":{"default":{"default":"Weißer Kreis mit unterem rechten Quadranten"}}},{"category":"So","key":"25F7","mappings":{"default":{"default":"Weißer Kreis mit rechtem oberen Quadranten"}}},{"category":"Sm","key":"25F8","mappings":{"default":{"default":"Oberes linkes Dreieck"}}},{"category":"Sm","key":"25F9","mappings":{"default":{"default":"Oberes rechtes Dreieck"}}},{"category":"Sm","key":"25FA","mappings":{"default":{"default":"Unteres linkes Dreieck"}}},{"category":"Sm","key":"25FB","mappings":{"default":{"default":"Weißes mittleres Quadrat"}}},{"category":"Sm","key":"25FC","mappings":{"default":{"default":"Schwarzes mittleres Quadrat"}}},{"category":"Sm","key":"25FD","mappings":{"default":{"default":"Weißes mittleres kleines Quadrat"}}},{"category":"Sm","key":"25FE","mappings":{"default":{"default":"Schwarzes mittleres kleines Quadrat"}}},{"category":"Sm","key":"25FF","mappings":{"default":{"default":"Unteres rechtes Dreieck"}}},{"category":"So","key":"2B12","mappings":{"default":{"default":"Quadrat mit oberer Hälfte schwarz"}}},{"category":"So","key":"2B13","mappings":{"default":{"default":"Quadrat mit unterer Hälfte schwarz"}}},{"category":"So","key":"2B14","mappings":{"default":{"default":"Quadrat mit oberer rechter diagonaler Hälfte schwarz"}}},{"category":"So","key":"2B15","mappings":{"default":{"default":"Quadrat mit unterer linker diagonaler Hälfte schwarz"}}},{"category":"So","key":"2B16","mappings":{"default":{"default":"Diamant mit linker Hälfte schwarz"}}},{"category":"So","key":"2B17","mappings":{"default":{"default":"Diamant mit rechter Hälfte schwarz"}}},{"category":"So","key":"2B18","mappings":{"default":{"default":"Diamant mit oberer Hälfte schwarz"}}},{"category":"So","key":"2B19","mappings":{"default":{"default":"Diamant mit unterer Hälfte schwarz"}}},{"category":"So","key":"2B1A","mappings":{"default":{"default":"Gepunktetes Quadrat"}}},{"category":"So","key":"2B1B","mappings":{"default":{"default":"Schwarzes großes Quadrat"}}},{"category":"So","key":"2B1C","mappings":{"default":{"default":"Weißes großes Quadrat"}}},{"category":"So","key":"2B1D","mappings":{"default":{"default":"Schwarzes sehr kleines Quadrat"}}},{"category":"So","key":"2B1E","mappings":{"default":{"default":"Weißes sehr kleines Quadrat"}}},{"category":"So","key":"2B1F","mappings":{"default":{"default":"Schwarzes Pentagon"}}},{"category":"So","key":"2B20","mappings":{"default":{"default":"Weißes Pentagon"}}},{"category":"So","key":"2B21","mappings":{"default":{"default":"Weißes Sechseck"}}},{"category":"So","key":"2B22","mappings":{"default":{"default":"Schwarzes Sechseck"}}},{"category":"So","key":"2B23","mappings":{"default":{"default":"Horizontales schwarzes Sechseck"}}},{"category":"So","key":"2B24","mappings":{"default":{"default":"Schwarzer großer Kreis"}}},{"category":"So","key":"2B25","mappings":{"default":{"default":"Schwarzer mittlerer Diamant"}}},{"category":"So","key":"2B26","mappings":{"default":{"default":"Weißer mittlerer Diamant"}}},{"category":"So","key":"2B27","mappings":{"default":{"default":"Schwarze mittlere Raute"}}},{"category":"So","key":"2B28","mappings":{"default":{"default":"Weiße mittlere Raute"}}},{"category":"So","key":"2B29","mappings":{"default":{"default":"Schwarzer kleiner Diamant"}}},{"category":"So","key":"2B2A","mappings":{"default":{"default":"Schwarze kleine Raute"}}},{"category":"So","key":"2B2B","mappings":{"default":{"default":"Weiße kleine Raute"}}},{"category":"So","key":"2B2C","mappings":{"default":{"default":"Schwarze horizontale Ellipse"}}},{"category":"So","key":"2B2D","mappings":{"default":{"default":"Weiße horizontale Ellipse"}}},{"category":"So","key":"2B2E","mappings":{"default":{"default":"Schwarze vertikale Ellipse"}}},{"category":"So","key":"2B2F","mappings":{"default":{"default":"Weiße vertikale Ellipse"}}},{"category":"So","key":"2B50","mappings":{"default":{"default":"Weißer mittlerer Stern"}}},{"category":"So","key":"2B51","mappings":{"default":{"default":"Schwarzer kleiner Stern"}}},{"category":"So","key":"2B52","mappings":{"default":{"default":"Weißer kleiner Stern"}}},{"category":"So","key":"2B53","mappings":{"default":{"default":"Schwarzes nach rechts zeigendes Pentagon"}}},{"category":"So","key":"2B54","mappings":{"default":{"default":"Weißes nach rechts zeigendes Pentagon"}}},{"category":"So","key":"2B55","mappings":{"default":{"default":"Schwerer großer Kreis"}}},{"category":"So","key":"2B56","mappings":{"default":{"default":"Schweres Oval mit innenliegendem Oval"}}},{"category":"So","key":"2B57","mappings":{"default":{"default":"Schwerer Kreis mit Kreis nach innen"}}},{"category":"So","key":"2B58","mappings":{"default":{"default":"Schwerer Kreis"}}},{"category":"So","key":"2B59","mappings":{"default":{"default":"Schwerer eingekreister Saltire"}}}]
+,
+"de/symbols/math_harpoons.js": 
+[{"locale":"de"},{"category":"So","key":"21BC","mappings":{"default":{"default":"Linke Harpune mit Barb nach oben"}}},{"category":"So","key":"21BD","mappings":{"default":{"default":"Harpune nach links mit Barb nach unten"}}},{"category":"So","key":"21BE","mappings":{"default":{"default":"Harpune nach oben mit Barb nach rechts"}}},{"category":"So","key":"21BF","mappings":{"default":{"default":"Harpune nach oben mit Barb nach links"}}},{"category":"So","key":"21C0","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach oben"}}},{"category":"So","key":"21C1","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach unten"}}},{"category":"So","key":"21C2","mappings":{"default":{"default":"Harpune nach unten mit Barb nach rechts"}}},{"category":"So","key":"21C3","mappings":{"default":{"default":"Harpune nach unten mit Barb nach links"}}},{"category":"So","key":"21CB","mappings":{"default":{"default":"Harpune nach links über Harpune nach rechts"}}},{"category":"So","key":"21CC","mappings":{"default":{"default":"Harpune nach rechts über Harpune nach links"}}},{"category":"Sm","key":"294A","mappings":{"default":{"default":"Linke Barb Up Rechte Barb Down Harpoon"}}},{"category":"Sm","key":"294B","mappings":{"default":{"default":"Linke Barb Down Rechte Barb Up Harpoon"}}},{"category":"Sm","key":"294C","mappings":{"default":{"default":"Nach oben Barb Rechts Nach links Barb Harpoon"}}},{"category":"Sm","key":"294D","mappings":{"default":{"default":"Up Barb Left Abwärts Barb Right Harpoon"}}},{"category":"Sm","key":"294E","mappings":{"default":{"default":"Linke Barb Up Rechte Barb Up Harpoon"}}},{"category":"Sm","key":"294F","mappings":{"default":{"default":"Barb nach rechts Barb nach rechts Harpoon"}}},{"category":"Sm","key":"2950","mappings":{"default":{"default":"Linke Barb Down Rechte Barb Down Harpoon"}}},{"category":"Sm","key":"2951","mappings":{"default":{"default":"Up Barb Left Abwärts Barb Left Harpoon"}}},{"category":"Sm","key":"2952","mappings":{"default":{"default":"Linke Harpune mit Barb Up To Bar"}}},{"category":"Sm","key":"2953","mappings":{"default":{"default":"Harpune nach rechts mit Barb bis zur Bar"}}},{"category":"Sm","key":"2954","mappings":{"default":{"default":"Harpune nach oben mit Widerhaken rechts"}}},{"category":"Sm","key":"2955","mappings":{"default":{"default":"Harpune nach unten mit Barb Right to Bar"}}},{"category":"Sm","key":"2956","mappings":{"default":{"default":"Linke Harpune mit Widerhaken nach unten"}}},{"category":"Sm","key":"2957","mappings":{"default":{"default":"Harpune nach rechts mit Widerhaken nach unten"}}},{"category":"Sm","key":"2958","mappings":{"default":{"default":"Harpune nach oben mit Barb nach links"}}},{"category":"Sm","key":"2959","mappings":{"default":{"default":"Harpune nach unten mit Barb nach links"}}},{"category":"Sm","key":"295A","mappings":{"default":{"default":"Linke Harpune mit Barb Up von der Bar"}}},{"category":"Sm","key":"295B","mappings":{"default":{"default":"Harpune nach rechts mit Barb Up von der Bar"}}},{"category":"Sm","key":"295C","mappings":{"default":{"default":"Harpune nach oben mit Barb rechts von der Bar"}}},{"category":"Sm","key":"295D","mappings":{"default":{"default":"Harpune nach unten mit Barb rechts von der Bar"}}},{"category":"Sm","key":"295E","mappings":{"default":{"default":"Linke Harpune mit Barb Down von der Bar"}}},{"category":"Sm","key":"295F","mappings":{"default":{"default":"Rechts Harpoon mit Barb Down von der Bar"}}},{"category":"Sm","key":"2960","mappings":{"default":{"default":"Harpune nach oben mit Barb links von der Bar"}}},{"category":"Sm","key":"2961","mappings":{"default":{"default":"Harpune nach unten mit Barb links von der Bar"}}},{"category":"Sm","key":"2962","mappings":{"default":{"default":"Harpune nach links mit Barb nach oben Harpune nach links mit Barb nach unten"}}},{"category":"Sm","key":"2963","mappings":{"default":{"default":"Harpune nach oben mit Barb links neben Harpune nach oben mit Barb rechts"}}},{"category":"Sm","key":"2964","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach oben Harpoon nach rechts mit Barb nach unten"}}},{"category":"Sm","key":"2965","mappings":{"default":{"default":"Harpune nach unten mit Barb nach unten Harpune nach unten mit Barb nach rechts"}}},{"category":"Sm","key":"2966","mappings":{"default":{"default":"Linke Harpune mit Barb Up Oben Rechts Harpoon mit Barb Up"}}},{"category":"Sm","key":"2967","mappings":{"default":{"default":"Linke Harpune mit Widerhaken nach unten Rechts Harpune mit Widerhaken nach unten"}}},{"category":"Sm","key":"2968","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach oben Harpune nach links mit Barb nach oben"}}},{"category":"Sm","key":"2969","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach unten Harpune nach links mit Barb nach unten"}}},{"category":"Sm","key":"296A","mappings":{"default":{"default":"Linke Harpune mit Barb Up Above Long Dash"}}},{"category":"Sm","key":"296B","mappings":{"default":{"default":"Linke Harpune mit Barb Down Under Long Dash"}}},{"category":"Sm","key":"296C","mappings":{"default":{"default":"Harpune nach rechts mit Barb Up Long Long Dash"}}},{"category":"Sm","key":"296D","mappings":{"default":{"default":"Harpune nach rechts mit Widerhaken nach unten"}}},{"category":"Sm","key":"296E","mappings":{"default":{"default":"Harpune nach oben mit Barb links neben Harpune nach unten mit Barb rechts"}}},{"category":"Sm","key":"296F","mappings":{"default":{"default":"Harpune nach unten mit Barb links neben Harpune nach oben mit Barb rechts"}}},{"category":"Sm","key":"297C","mappings":{"default":{"default":"linker Fischschwanz"}}},{"category":"Sm","key":"297D","mappings":{"default":{"default":"rechter Fischschwanz"}}},{"category":"Sm","key":"297E","mappings":{"default":{"default":"Fischschwanz"}}},{"category":"Sm","key":"297F","mappings":{"default":{"default":"Fischschwanz"}}}]
+,
+"de/symbols/math_non_characters.js": 
+[{"locale":"de"},{"category":"Ll","key":"210F","mappings":{"default":{"default":"Planck-Konstante über zwei Pi"}}},{"category":"So","key":"2114","mappings":{"default":{"default":"L B Balkensymbol"}}},{"category":"So","key":"2116","mappings":{"default":{"default":"Numero-Zeichen"}}},{"category":"So","key":"2117","mappings":{"default":{"default":"Tonaufnahme Copyright"}}},{"category":"So","key":"211E","mappings":{"default":{"default":"Rezept nehmen"}}},{"category":"So","key":"211F","mappings":{"default":{"default":"Antwort"}}},{"category":"So","key":"2120","mappings":{"default":{"default":"Dienstleistungsmarke"}}},{"category":"So","key":"2121","mappings":{"default":{"default":"Telefon Zeichen"}}},{"category":"So","key":"2122","mappings":{"default":{"default":"Markenzeichen"}}},{"category":"So","key":"2123","mappings":{"default":{"default":"Versicle"}}},{"category":"So","key":"2125","mappings":{"default":{"default":"Unze-Zeichen"}}},{"category":"Lu","key":"2126","mappings":{"default":{"default":"Ohm-Zeichen"}}},{"category":"So","key":"2127","mappings":{"default":{"default":"Umgekehrtes Ohm-Zeichen"}}},{"category":"Lu","key":"212A","mappings":{"default":{"default":"Kelvin-Zeichen"}}},{"category":"Lu","key":"212B","mappings":{"default":{"default":"Angstrom-Zeichen"}}},{"category":"So","key":"212E","mappings":{"default":{"default":"Geschätztes Symbol"}}},{"category":"Lu","key":"2132","mappings":{"default":{"default":"Umgeschlagenes Kapital F"}}},{"category":"Ll","key":"2139","mappings":{"default":{"default":"Informationsquelle"}}},{"category":"So","key":"213A","mappings":{"default":{"default":"Gedrehtes Kapital Q"}}},{"category":"So","key":"213B","mappings":{"default":{"default":"Faksimile-Zeichen"}}},{"category":"Sm","key":"2141","mappings":{"default":{"default":"Sans-Serif Capital G"}}},{"category":"Sm","key":"2142","mappings":{"default":{"default":"Sans-Serif Capital L"}}},{"category":"Sm","key":"2143","mappings":{"default":{"default":"Aufgehobenes Sans-Serif-Kapital L"}}},{"category":"Sm","key":"2144","mappings":{"default":{"default":"Sans-Serif Capital Y"}}}]
+,
+"de/symbols/math_symbols.js": 
+[{"locale":"de"},{"key":"0021","mappings":{"default":{"default":"Fakultät"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"Anführungszeichen"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"Nummernzeichen"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"Dollar"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"Prozent"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"und"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"Hochkomma"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"times"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"plus"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"Komma"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"minus"}},"category":"Pd"},{"category":"Po","key":"002E","mappings":{"default":{"default":"Punkt"}}},{"key":"002F","mappings":{"default":{"default":"Schrägstrich"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"Doppelpunkt"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"Strichpunkt"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"kleiner als"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"ist gleich"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"größer als"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"Fragezeichen"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"Klammeraffe"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"Umgekehrter Schrägstrich"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circumflex"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"Unterstrich"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"Gravis Akzent"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"senkrechter Strich"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"Umgekehrtes Ausrufezeichen"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"Cent"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"Pfund"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"währungszeichen"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"gebrochene Linie"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"Abschnitt"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"diaeresis"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"Copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"weibliches Ordnungszeichen"}},"category":"Lo"},{"category":"Pi","key":"00AB","mappings":{"default":{"default":"Nach links zeigendes doppeltes spitzes Anführungszeichen"}}},{"key":"00AC","mappings":{"default":{"default":"nicht"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"registered sign"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"Überstrich","alternative":"Makron"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"Grad"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"plus minus"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"acute accent"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"micro sign"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"Paragraf"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"mal","alternative":"Punkt mittig"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"Cedille"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"Männliches Ordnungszeichen"}},"category":"Lo"},{"category":"Pf","key":"00BB","mappings":{"default":{"default":"Nach rechts zeigendes doppeltes spitzes Anführungszeichen"}}},{"key":"00BF","mappings":{"default":{"default":"umgekehrtes Fragezeichen"}},"category":"Po"},{"category":"Sm","key":"00D7","mappings":{"default":{"default":"mal"}}},{"category":"Sm","key":"00F7","mappings":{"default":{"default":"geteilt durch"}}},{"key":"02D8","mappings":{"default":{"default":"Breve"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"Überpunkt"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"Überring"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"Ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"Tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"Doppleakutakzent"}},"category":"Sk"},{"category":"Pd","key":"2010","mappings":{"default":{"default":"Bindestrich"}}},{"category":"Pd","key":"2011","mappings":{"default":{"default":"Nicht brechender Bindestrich"}}},{"category":"Pd","key":"2012","mappings":{"default":{"default":"Abbildung Bindestrich"}}},{"category":"Pd","key":"2013","mappings":{"default":{"default":"En Dash"}}},{"category":"Pd","key":"2014","mappings":{"default":{"default":"EM Dash"}}},{"category":"Pd","key":"2015","mappings":{"default":{"default":"Horizontale Linie"}}},{"category":"Po","key":"2016","mappings":{"default":{"default":"Doppelte vertikale Linie"}}},{"category":"Po","key":"2017","mappings":{"default":{"default":"Doppelter Unterstrich"}}},{"category":"Pi","key":"2018","mappings":{"default":{"default":"Linkes einfaches Anführungszeichen"}}},{"category":"Pf","key":"2019","mappings":{"default":{"default":"Rechtes einfaches Anführungszeichen"}}},{"category":"Ps","key":"201A","mappings":{"default":{"default":"Einzelnes rechtes Anführungszeichen"}}},{"category":"Pi","key":"201B","mappings":{"default":{"default":"Einzelnes linkes Anführungszeichen"}}},{"category":"Pi","key":"201C","mappings":{"default":{"default":"Linkes doppeltes Anführungszeichen"}}},{"category":"Pf","key":"201D","mappings":{"default":{"default":"Rechtes doppeltes Anführungszeichen"}}},{"category":"Ps","key":"201E","mappings":{"default":{"default":"Doppeltes rechtes Anführungszeichen"}}},{"category":"Pi","key":"201F","mappings":{"default":{"default":"Doppeltes linkes Anführungszeichen"}}},{"category":"Po","key":"2020","mappings":{"default":{"default":"Dolch"}}},{"category":"Po","key":"2021","mappings":{"default":{"default":"Doppelter Dolch"}}},{"category":"Po","key":"2022","mappings":{"default":{"default":"Kugel"}}},{"category":"Po","key":"2023","mappings":{"default":{"default":"Dreieckige Kugel"}}},{"category":"Po","key":"2024","mappings":{"default":{"default":"Einzelpunkt"}}},{"category":"Po","key":"2025","mappings":{"default":{"default":"zwei Punkte"}}},{"category":"Po","key":"2026","mappings":{"default":{"default":"horizontale Ellipsis"}}},{"category":"Po","key":"2027","mappings":{"default":{"default":"Trennungspunkt"}}},{"category":"Po","key":"2030","mappings":{"default":{"default":"promille"}}},{"category":"Po","key":"2031","mappings":{"default":{"default":"pro Zehntausend"}}},{"key":"2032","mappings":{"default":{"default":"Strich"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"zwei Strich"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"drei Strich"}},"category":"Po"},{"category":"Po","key":"2035","mappings":{"default":{"default":"strich invertiert"}}},{"category":"Po","key":"2036","mappings":{"default":{"default":"zwei Strich invertiert"}}},{"category":"Po","key":"2037","mappings":{"default":{"default":"drei Strich invertiert"}}},{"category":"Po","key":"2038","mappings":{"default":{"default":"Caret"}}},{"category":"Pi","key":"2039","mappings":{"default":{"default":"Einfacher nach links zeigender Winkel Anführungszeichen"}}},{"category":"Pf","key":"203A","mappings":{"default":{"default":"Einzelne Nach-rechts-Winkel-Anführungszeichen"}}},{"category":"Po","key":"203B","mappings":{"default":{"default":"Referenzmarke"}}},{"category":"Po","key":"203C","mappings":{"default":{"default":"Doppelausrufezeichen"}}},{"category":"Po","key":"203D","mappings":{"default":{"default":"Interrobang"}}},{"category":"Po","key":"203E","mappings":{"default":{"default":"Überschrift"}}},{"category":"Pc","key":"203F","mappings":{"default":{"default":"Undertie"}}},{"category":"Pc","key":"2040","mappings":{"default":{"default":"Zeichen Krawatte"}}},{"category":"Po","key":"2041","mappings":{"default":{"default":"Caret-Einfügungspunkt"}}},{"category":"Po","key":"2042","mappings":{"default":{"default":"Asterism"}}},{"category":"Po","key":"2043","mappings":{"default":{"default":"Bindestrich Kugel"}}},{"category":"Sm","key":"2044","mappings":{"default":{"default":"Fraktions-Schrägstrich"}}},{"category":"Po","key":"2047","mappings":{"default":{"default":"Doppel-Fragezeichen"}}},{"category":"Po","key":"2048","mappings":{"default":{"default":"Fragezeichen für Ausrufezeichen"}}},{"category":"Po","key":"2049","mappings":{"default":{"default":"Ausrufezeichen"}}},{"category":"Po","key":"204B","mappings":{"default":{"default":"Umgekehrtes Pilcrow-Zeichen"}}},{"category":"Po","key":"204C","mappings":{"default":{"default":"Schwarze Kugel nach links"}}},{"category":"Po","key":"204D","mappings":{"default":{"default":"Schwarze Kugel nach rechts"}}},{"category":"Po","key":"204E","mappings":{"default":{"default":"Niedriges Sternchen"}}},{"category":"Po","key":"204F","mappings":{"default":{"default":"Umgekehrtes Semikolon"}}},{"category":"Po","key":"2050","mappings":{"default":{"default":"Nahansicht"}}},{"category":"Po","key":"2051","mappings":{"default":{"default":"Zwei Sternchen vertikal ausgerichtet"}}},{"category":"Sm","key":"2052","mappings":{"default":{"default":"Kommerzielles Minuszeichen"}}},{"category":"Po","key":"2053","mappings":{"default":{"default":"Swing Dash"}}},{"category":"Pc","key":"2054","mappings":{"default":{"default":"Inverted Undertie"}}},{"category":"Po","key":"2055","mappings":{"default":{"default":"Blume Interpunktionszeichen"}}},{"category":"Po","key":"2056","mappings":{"default":{"default":"Drei Punkt-Interpunktion"}}},{"key":"2057","mappings":{"default":{"default":"quadruple prime"}},"category":"Po"},{"category":"Po","key":"2058","mappings":{"default":{"default":"Vierpunkt-Interpunktion"}}},{"category":"Po","key":"2059","mappings":{"default":{"default":"Fünf Punkt-Interpunktion"}}},{"category":"Po","key":"205A","mappings":{"default":{"default":"Zwei Punkt-Interpunktion"}}},{"category":"Po","key":"205B","mappings":{"default":{"default":"Vier-Punkt-Markierung"}}},{"category":"Po","key":"205C","mappings":{"default":{"default":"Gepunktetes Kreuz"}}},{"category":"Po","key":"205D","mappings":{"default":{"default":"Tricolon"}}},{"category":"Po","key":"205E","mappings":{"default":{"default":"Vertikale vier Punkte"}}},{"category":"Sm","key":"207A","mappings":{"default":{"default":"Hochgestelltes Pluszeichen"}}},{"category":"Sm","key":"207B","mappings":{"default":{"default":"Hochgestelltes Minus"}}},{"category":"Sm","key":"207C","mappings":{"default":{"default":"Hochgestelltes Gleichheitszeichen"}}},{"category":"Ps","key":"207D","mappings":{"default":{"default":"Hochgestellte linke Klammer"}}},{"category":"Pe","key":"207E","mappings":{"default":{"default":"Hochgestellte rechte Klammer"}}},{"category":"Sm","key":"208A","mappings":{"default":{"default":"Index Pluszeichen"}}},{"category":"Sm","key":"208B","mappings":{"default":{"default":"Tiefgestelltes Minus"}}},{"category":"Sm","key":"208C","mappings":{"default":{"default":"Tiefgestelltes Gleichheitszeichen"}}},{"category":"Ps","key":"208D","mappings":{"default":{"default":"Tiefgestellte linke Klammer"}}},{"category":"Pe","key":"208E","mappings":{"default":{"default":"Tiefgestellte rechte Klammer"}}},{"category":"So","key":"214A","mappings":{"default":{"default":"Grundstücksgrenze"}}},{"category":"Sm","key":"214B","mappings":{"default":{"default":"Ampersand gedreht"}}},{"category":"So","key":"214C","mappings":{"default":{"default":"Pro Zeichen"}}},{"category":"So","key":"214D","mappings":{"default":{"default":"Aktieselskab"}}},{"category":"Ll","key":"214E","mappings":{"default":{"default":"Gedreht klein F"}}},{"key":"2200","mappings":{"default":{"default":"für alle"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"Komplement"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"es gibt"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"es gibt nicht"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"leere Menge"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"Differenz"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"Element von"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"nicht Element von"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"Element von"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"hat als Element"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"hat nicht als Element"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"hat als Element"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"Ende Beweis"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"Produkt"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"Koprodukt"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"Summe"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"minus"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"minus plus"}},"category":"Sm"},{"category":"Sm","key":"2214","mappings":{"default":{"default":"Plus mit Punkt"}}},{"key":"2215","mappings":{"default":{"default":"Division"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"Mengendifferenz"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"Sternoperator"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"verknüpft mit"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"Kreisoperator"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"Quadratwurzelzeichen"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"Kubikwurzelzeichen"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"vierte Wurzel"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proportional zu"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"unendlich"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"rechter Winkel"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"Winkel"}},"category":"Sm"},{"category":"Sm","key":"2221","mappings":{"default":{"default":"gerichteter Winkel"}}},{"category":"Sm","key":"2222","mappings":{"default":{"default":"Raumwinkel"}}},{"key":"2223","mappings":{"default":{"default":"teilt"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"teilt nicht"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"parallel zu"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"nicht parallel zu"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"und"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"oder"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"Durchschnitt"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"Vereinigung"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"Integral"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"Doppelintegral"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"Dreifachintegral"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"Randintegral"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"Oberflächenintegral"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"Volumenintegral"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"Integral im Uhrzeigersinn"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"Kurvenintegral im Uhrzeigersinn"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"Kurvenintegral im Gegenuhrzeigersinn"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"folglich"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"weil"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"Verhältnis"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"Proportion"}},"category":"Sm"},{"category":"Sm","key":"2238","mappings":{"default":{"default":"Minus mit Punkt"}}},{"category":"Sm","key":"2239","mappings":{"default":{"default":"Überschuss"}}},{"key":"223A","mappings":{"default":{"default":"geometrische Proportion"}},"category":"Sm"},{"category":"Sm","key":"223B","mappings":{"default":{"default":"homothetisch"}}},{"category":"Sm","key":"223C","mappings":{"default":{"default":"Tildeoperator"}}},{"category":"Sm","key":"223D","mappings":{"default":{"default":"Umgekehrte Tilde"}}},{"category":"Sm","key":"223E","mappings":{"default":{"default":"Umgekehrtes stummes S"}}},{"category":"Sm","key":"223F","mappings":{"default":{"default":"Sinuswelle"}}},{"category":"Sm","key":"2240","mappings":{"default":{"default":"Kranzprodukt"}}},{"category":"Sm","key":"2241","mappings":{"default":{"default":"durchgestrichene Tilde"}}},{"category":"Sm","key":"2242","mappings":{"default":{"default":"Minus über Tilde"}}},{"key":"2243","mappings":{"default":{"default":"asymptotisch gleich"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"nicht asymptotisch gleich"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"ungefähr gleich"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"ungefähr, aber nicht ganz gleich"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"weder ungefähr noch ganz gleich"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"beinahe gleich"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"nicht beinahe gleich"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"beinahe gleich oder gleich"}},"category":"Sm"},{"category":"Sm","key":"224B","mappings":{"default":{"default":"dreifache Tilde"}}},{"category":"Sm","key":"224C","mappings":{"default":{"default":"alles gleich"}}},{"key":"224D","mappings":{"default":{"default":"äquivalent zu"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"geometrisch äquivalent zu"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"Differenz zwischen"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"nähert sich der Grenze"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"geometrisch gleich"}},"category":"Sm"},{"category":"Sm","key":"2252","mappings":{"default":{"default":"Ungefähr gleich oder das Bild von"}}},{"category":"Sm","key":"2253","mappings":{"default":{"default":"Bild von oder ungefähr gleich"}}},{"key":"2254","mappings":{"default":{"default":"definiert als"}},"category":"Sm"},{"category":"Sm","key":"2255","mappings":{"default":{"default":"definiert als von rechts"}}},{"category":"Sm","key":"2256","mappings":{"default":{"default":"ungefähr gleich"}}},{"category":"Sm","key":"2257","mappings":{"default":{"default":"ungefähr gleich"}}},{"key":"2258","mappings":{"default":{"default":"entspricht"}},"category":"Sm"},{"category":"Sm","key":"2259","mappings":{"default":{"default":"entspricht"}}},{"category":"Sm","key":"225A","mappings":{"default":{"default":"gleichwinklig zu"}}},{"category":"Sm","key":"225B","mappings":{"default":{"default":"gleich mit Stern"}}},{"category":"Sm","key":"225C","mappings":{"default":{"default":"gleich mit Delta"}}},{"key":"225D","mappings":{"default":{"default":"definitionsgemäß gleich"}},"category":"Sm"},{"category":"Sm","key":"225E","mappings":{"default":{"default":"gemessen mit"}}},{"category":"Sm","key":"225F","mappings":{"default":{"default":"vielleicht gleich"}}},{"key":"2260","mappings":{"default":{"default":"ungleich"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"kongruent mit"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"nicht kongruent mit"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"genau äquivalent mit"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"kleiner oder gleich"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"größer oder gleich"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"kleiner als über gleich"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"größer als über gleich"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"kleiner als, aber nicht gleich"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"größer als, aber nicht gleich"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"viel kleiner als"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"viel größer als"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"zwischen"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"nicht äquivalent mit"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"nicht kleiner als"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"nicht größer als"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"weder kleiner als noch gleich"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"weder größer als noch gleich"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"kleiner als oder äquivalent"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"größer als oder äquivalent"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"weder kleiner als noch äquivalent"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"weder größer als noch äquivalent"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"kleiner oder größer als"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"größer oder kleiner als"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"weder kleiner noch größer als"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"weder größer noch kleiner als"}},"category":"Sm"},{"category":"Sm","key":"227A","mappings":{"default":{"default":"vorangehend"}}},{"category":"Sm","key":"227B","mappings":{"default":{"default":"nachfolgend"}}},{"category":"Sm","key":"227C","mappings":{"default":{"default":"vorangehend oder gleich"}}},{"category":"Sm","key":"227D","mappings":{"default":{"default":"nachfolgend oder gleich"}}},{"category":"Sm","key":"227E","mappings":{"default":{"default":"vorangehend oder äquivalent"}}},{"category":"Sm","key":"227F","mappings":{"default":{"default":"nachfolgend oder äquivalent"}}},{"category":"Sm","key":"2280","mappings":{"default":{"default":"nicht vorangehend"}}},{"category":"Sm","key":"2281","mappings":{"default":{"default":"nicht nachfolgend"}}},{"category":"Sm","key":"2282","mappings":{"default":{"default":"echte Teilmenge von"}}},{"category":"Sm","key":"2283","mappings":{"default":{"default":"echte Obermenge von"}}},{"category":"Sm","key":"2284","mappings":{"default":{"default":"keine echte Teilmenge von"}}},{"category":"Sm","key":"2285","mappings":{"default":{"default":"kein echte Obermenge von"}}},{"category":"Sm","key":"2286","mappings":{"default":{"default":"Teilmenge oder gleich"}}},{"category":"Sm","key":"2287","mappings":{"default":{"default":"Obermenge oder gleich"}}},{"category":"Sm","key":"2288","mappings":{"default":{"default":"weder Teilmenge noch gleich"}}},{"category":"Sm","key":"2289","mappings":{"default":{"default":"weder Obermenge noch gleich"}}},{"category":"Sm","key":"228A","mappings":{"default":{"default":"Teilmenge aber nicht gleich"}}},{"category":"Sm","key":"228B","mappings":{"default":{"default":"Obermenge aber nicht gleich"}}},{"category":"Sm","key":"228C","mappings":{"default":{"default":"Multimenge"}}},{"category":"Sm","key":"228D","mappings":{"default":{"default":"Multimengenmultiplikation"}}},{"category":"Sm","key":"228E","mappings":{"default":{"default":"Multimengenvereinigung"}}},{"category":"Sm","key":"228F","mappings":{"default":{"default":"quadratisches Bild von"}}},{"category":"Sm","key":"2290","mappings":{"default":{"default":"quadratisches Original von"}}},{"category":"Sm","key":"2291","mappings":{"default":{"default":"quadratisches Bild oder gleich"}}},{"category":"Sm","key":"2292","mappings":{"default":{"default":"quadratisches Original oder gleich"}}},{"category":"Sm","key":"2293","mappings":{"default":{"default":"quadratische Schnittmenge"}}},{"category":"Sm","key":"2294","mappings":{"default":{"default":"quadratische VereinigungTasse"}}},{"category":"Sm","key":"2295","mappings":{"default":{"default":"eingekreistes Plus"}}},{"category":"Sm","key":"2296","mappings":{"default":{"default":"eingekreistes Minus"}}},{"category":"Sm","key":"2297","mappings":{"default":{"default":"eingekreiste Multiplikation"}}},{"category":"Sm","key":"2298","mappings":{"default":{"default":"eingekreiste Division"}}},{"category":"Sm","key":"2299","mappings":{"default":{"default":"eingekreister Punktoperator"}}},{"category":"Sm","key":"229A","mappings":{"default":{"default":"eingekreister Ringoperator"}}},{"category":"Sm","key":"229B","mappings":{"default":{"default":"eingekreister Sternoperator"}}},{"category":"Sm","key":"229C","mappings":{"default":{"default":"eingekreistes Gleich"}}},{"category":"Sm","key":"229D","mappings":{"default":{"default":"eingekreister Gedankenstrich"}}},{"category":"Sm","key":"229E","mappings":{"default":{"default":"eingerahmtes Plus"}}},{"category":"Sm","key":"229F","mappings":{"default":{"default":"eingerahmtes Minus"}}},{"category":"Sm","key":"22A0","mappings":{"default":{"default":"eingerahmte Multiplikation"}}},{"category":"Sm","key":"22A1","mappings":{"default":{"default":"eingerahmter Punktoperator"}}},{"category":"Sm","key":"22A2","mappings":{"default":{"default":"ergibt"}}},{"category":"Sm","key":"22A3","mappings":{"default":{"default":"ergibt nicht"}}},{"category":"Sm","key":"22A4","mappings":{"default":{"default":"senkrecht von"}}},{"category":"Sm","key":"22A5","mappings":{"default":{"default":"senkrecht auf"}}},{"category":"Sm","key":"22A6","mappings":{"default":{"default":"Behauptung"}}},{"category":"Sm","key":"22A7","mappings":{"default":{"default":"Model"}}},{"category":"Sm","key":"22A8","mappings":{"default":{"default":"wahr"}}},{"category":"Sm","key":"22A9","mappings":{"default":{"default":"erzwingen"}}},{"category":"Sm","key":"22AA","mappings":{"default":{"default":"dreifache vertikale Leiste mit rechtem Drehkreuz"}}},{"category":"Sm","key":"22AB","mappings":{"default":{"default":"doppelte vertikale Leiste mit doppeltem rechtem Drehkreuz"}}},{"category":"Sm","key":"22AC","mappings":{"default":{"default":"beweist nicht"}}},{"category":"Sm","key":"22AD","mappings":{"default":{"default":"nicht wahr"}}},{"category":"Sm","key":"22AE","mappings":{"default":{"default":"nicht erzwingen"}}},{"category":"Sm","key":"22AF","mappings":{"default":{"default":"negierte doppelte vertikale Leiste mit doppeltem rechten Drehkreuz"}}},{"category":"Sm","key":"22B0","mappings":{"default":{"default":"vorangehend in Relation"}}},{"category":"Sm","key":"22B1","mappings":{"default":{"default":"nachfolgend in Relation"}}},{"category":"Sm","key":"22B2","mappings":{"default":{"default":"normale Untergruppe"}}},{"category":"Sm","key":"22B3","mappings":{"default":{"default":"enthält normale Untergruppe"}}},{"category":"Sm","key":"22B4","mappings":{"default":{"default":"normale Untergruppe von oder gleich"}}},{"category":"Sm","key":"22B5","mappings":{"default":{"default":"enthält normale Untergruppe oder gleich"}}},{"category":"Sm","key":"22B6","mappings":{"default":{"default":"Original von"}}},{"category":"Sm","key":"22B7","mappings":{"default":{"default":"Bild von"}}},{"category":"Sm","key":"22B8","mappings":{"default":{"default":"Mehrfachzuordnung"}}},{"category":"Sm","key":"22B9","mappings":{"default":{"default":"hermitesch konjugierte Matrix"}}},{"category":"Sm","key":"22BA","mappings":{"default":{"default":"einschalten"}}},{"category":"Sm","key":"22BB","mappings":{"default":{"default":"Ausschließendes Oder"}}},{"category":"Sm","key":"22BC","mappings":{"default":{"default":"Nand verknüpft mit"}}},{"category":"Sm","key":"22BD","mappings":{"default":{"default":"Nor verknüpft mit"}}},{"category":"Sm","key":"22BF","mappings":{"default":{"default":"rechtwinkliges Dreieck"}}},{"category":"Sm","key":"22C0","mappings":{"default":{"default":"N-stufiges logisches Und"}}},{"category":"Sm","key":"22C1","mappings":{"default":{"default":"N-stufiges logisches Oder"}}},{"category":"Sm","key":"22C2","mappings":{"default":{"default":"N-stufiger Durchschnitt"}}},{"category":"Sm","key":"22C3","mappings":{"default":{"default":"N-stufige Vereinigung"}}},{"category":"Sm","key":"22C4","mappings":{"default":{"default":"Rautenoperator"}}},{"category":"Sm","key":"22C5","mappings":{"default":{"default":"mal","alternative":"Multiplikationspunkt"}}},{"category":"Sm","key":"22C6","mappings":{"default":{"default":"Sternoperator"}}},{"category":"Sm","key":"22C7","mappings":{"default":{"default":"Divisionsanzahl"}}},{"category":"Sm","key":"22C8","mappings":{"default":{"default":"Schleife"}}},{"category":"Sm","key":"22C9","mappings":{"default":{"default":"linkes halbdirektes Produkt"}}},{"category":"Sm","key":"22CA","mappings":{"default":{"default":"rechtes halbdirektes Produkt"}}},{"category":"Sm","key":"22CB","mappings":{"default":{"default":"linkes halbdirektes Produkt"}}},{"category":"Sm","key":"22CC","mappings":{"default":{"default":"rechtes halbdirektes Produkt"}}},{"category":"Sm","key":"22CD","mappings":{"default":{"default":"umgekehrte Tilde gleich"}}},{"category":"Sm","key":"22CE","mappings":{"default":{"default":"geschweiftes logisches Oder"}}},{"category":"Sm","key":"22CF","mappings":{"default":{"default":"geschweiftes logisches Und"}}},{"category":"Sm","key":"22D0","mappings":{"default":{"default":"doppelte Teilmenge"}}},{"category":"Sm","key":"22D1","mappings":{"default":{"default":"doppelte Obermenge"}}},{"category":"Sm","key":"22D2","mappings":{"default":{"default":"doppelter Durchschnitt"}}},{"category":"Sm","key":"22D3","mappings":{"default":{"default":"doppelte Vereinigung"}}},{"category":"Sm","key":"22D4","mappings":{"default":{"default":"echter Durchschnitt"}}},{"category":"Sm","key":"22D5","mappings":{"default":{"default":"gleich und parallel"}}},{"category":"Sm","key":"22D6","mappings":{"default":{"default":"kleiner als mit Punkt"}}},{"category":"Sm","key":"22D7","mappings":{"default":{"default":"größer als mit Punkt"}}},{"category":"Sm","key":"22D8","mappings":{"default":{"default":"sehr viel kleiner als"}}},{"category":"Sm","key":"22D9","mappings":{"default":{"default":"sehr viel größer als"}}},{"category":"Sm","key":"22DA","mappings":{"default":{"default":"kleiner als, gleich oder größer als"}}},{"category":"Sm","key":"22DB","mappings":{"default":{"default":"größer als, gleich oder kleiner als"}}},{"category":"Sm","key":"22DC","mappings":{"default":{"default":"gleich oder kleiner als"}}},{"category":"Sm","key":"22DD","mappings":{"default":{"default":"gleich oder größer als"}}},{"category":"Sm","key":"22DE","mappings":{"default":{"default":"gleich oder vorangehend"}}},{"category":"Sm","key":"22DF","mappings":{"default":{"default":"gleich oder nachfolgend"}}},{"category":"Sm","key":"22E0","mappings":{"default":{"default":"weder vorangehend oder gleich"}}},{"category":"Sm","key":"22E1","mappings":{"default":{"default":"weder nachfolgend oder gleich"}}},{"category":"Sm","key":"22E2","mappings":{"default":{"default":"kein quadratisches Bild oder gleich"}}},{"category":"Sm","key":"22E3","mappings":{"default":{"default":"kein quadratisches Original oder gleich"}}},{"category":"Sm","key":"22E4","mappings":{"default":{"default":"quadratisches Bild oder nicht gleich"}}},{"category":"Sm","key":"22E5","mappings":{"default":{"default":"quadratisches Original oder nicht gleich"}}},{"category":"Sm","key":"22E6","mappings":{"default":{"default":"kleiner als, aber nicht äquivalent"}}},{"category":"Sm","key":"22E7","mappings":{"default":{"default":"größer als, aber nicht äquivalent"}}},{"category":"Sm","key":"22E8","mappings":{"default":{"default":"vorangehend, aber nicht äquivalent"}}},{"category":"Sm","key":"22E9","mappings":{"default":{"default":"nachfolgend, aber nicht äquivalent"}}},{"category":"Sm","key":"22EA","mappings":{"default":{"default":"nicht normale Untergruppe von"}}},{"category":"Sm","key":"22EB","mappings":{"default":{"default":"enthält keine normale Untergruppe"}}},{"category":"Sm","key":"22EC","mappings":{"default":{"default":"keine normale Untergruppe von oder gleich"}}},{"category":"Sm","key":"22ED","mappings":{"default":{"default":"enthält nicht als normale Untergruppe oder gleich"}}},{"category":"Sm","key":"22EE","mappings":{"default":{"default":"Vertikale Ellipsis"}}},{"category":"Sm","key":"22EF","mappings":{"default":{"default":"Zentrierte horizontale Ellipse"}}},{"category":"Sm","key":"22F0","mappings":{"default":{"default":"Diagonale Ellipse unten links nach oben rechts"}}},{"category":"Sm","key":"22F1","mappings":{"default":{"default":"Diagonale Ellipse, oben links nach unten rechts"}}},{"category":"Sm","key":"22F2","mappings":{"default":{"default":"Element mit langem horizontalen Strich"}}},{"category":"Sm","key":"22F3","mappings":{"default":{"default":"Element mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"category":"Sm","key":"22F4","mappings":{"default":{"default":"kleines Element mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"category":"Sm","key":"22F5","mappings":{"default":{"default":"Element mit Punkt"}}},{"category":"Sm","key":"22F6","mappings":{"default":{"default":"Element mit Überstrich"}}},{"key":"22F7","mappings":{"default":{"default":"kleines Element mit Überstrich"}},"category":"Sm"},{"category":"Sm","key":"22F8","mappings":{"default":{"default":"Element mit Unterstrich"}}},{"category":"Sm","key":"22F9","mappings":{"default":{"default":"Element mit 2 horizontalen Strichen"}}},{"category":"Sm","key":"22FA","mappings":{"default":{"default":"umgekehrtes Elementzeichen mit langem horizontalen Strich"}}},{"category":"Sm","key":"22FB","mappings":{"default":{"default":"umgekehrtes Elementzeichen mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"category":"Sm","key":"22FC","mappings":{"default":{"default":"kleines umgekehrtes Elementzeichen mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"key":"22FD","mappings":{"default":{"default":"umgekehrtes Elementzeichen mit Überstrich"}},"category":"Sm"},{"category":"Sm","key":"22FE","mappings":{"default":{"default":"kleines umgekehrtes Elementzeichen mit Überstrich"}}},{"category":"Sm","key":"22FF","mappings":{"default":{"default":"Z-Notation-Bag-Mitgliedschaft"}}},{"category":"So","key":"2300","mappings":{"default":{"default":"Durchmesser-Zeichen"}}},{"category":"So","key":"2302","mappings":{"default":{"default":"Haus"}}},{"category":"So","key":"2305","mappings":{"default":{"default":"Projektiv"}}},{"category":"So","key":"2306","mappings":{"default":{"default":"Perspektive"}}},{"category":"So","key":"2307","mappings":{"default":{"default":"Schlangenlinie"}}},{"category":"So","key":"2310","mappings":{"default":{"default":"Umgekehrtes Nichtzeichen"}}},{"category":"So","key":"2311","mappings":{"default":{"default":"Quadratische Raute"}}},{"category":"So","key":"2312","mappings":{"default":{"default":"Bogen"}}},{"category":"So","key":"2313","mappings":{"default":{"default":"Segment"}}},{"category":"So","key":"2314","mappings":{"default":{"default":"Sektor"}}},{"category":"So","key":"2795","mappings":{"default":{"default":"Schweres Pluszeichen"}}},{"category":"So","key":"2796","mappings":{"default":{"default":"Schweres Minuszeichen"}}},{"category":"So","key":"2797","mappings":{"default":{"default":"Heavy Division Sign"}}},{"category":"So","key":"27B0","mappings":{"default":{"default":"Curly Loop"}}},{"category":"So","key":"27BF","mappings":{"default":{"default":"Doppelte geschweifte Schleife"}}},{"category":"Sm","key":"27C1","mappings":{"default":{"default":"Weißes Dreieck, das kleines weißes Dreieck enthält"}}},{"category":"Sm","key":"27C2","mappings":{"default":{"default":"Aufrecht"}}},{"category":"Sm","key":"27C3","mappings":{"default":{"default":"Subset öffnen"}}},{"category":"Sm","key":"27C4","mappings":{"default":{"default":"Superset öffnen"}}},{"category":"Sm","key":"27C7","mappings":{"default":{"default":"Oder mit innerem Punkt"}}},{"category":"Sm","key":"27C8","mappings":{"default":{"default":"Umgekehrter Schrägstrich Vorhergehender Teilsatz"}}},{"category":"Sm","key":"27C9","mappings":{"default":{"default":"Superset Vorgänger Schrägstrich"}}},{"category":"Sm","key":"27CA","mappings":{"default":{"default":"Vertikaler Balken mit horizontalem Hub"}}},{"category":"Sm","key":"27CB","mappings":{"default":{"default":"Mathematische aufsteigende Diagonale"}}},{"category":"Sm","key":"27CC","mappings":{"default":{"default":"Lange Abteilung"}}},{"category":"Sm","key":"27CD","mappings":{"default":{"default":"Mathematische fallende Diagonale"}}},{"category":"Sm","key":"27CE","mappings":{"default":{"default":"quadratisches und"}}},{"category":"Sm","key":"27CF","mappings":{"default":{"default":"quadratisches oder"}}},{"category":"Sm","key":"27D0","mappings":{"default":{"default":"Weißer Diamant mit zentriertem Punkt"}}},{"category":"Sm","key":"27D1","mappings":{"default":{"default":"Und mit Dot"}}},{"category":"Sm","key":"27D2","mappings":{"default":{"default":"Element der Öffnung nach oben"}}},{"category":"Sm","key":"27D3","mappings":{"default":{"default":"Untere rechte Ecke mit Punkt"}}},{"category":"Sm","key":"27D4","mappings":{"default":{"default":"Obere linke Ecke mit Punkt"}}},{"category":"Sm","key":"27D5","mappings":{"default":{"default":"Linke äußere Verbindung"}}},{"category":"Sm","key":"27D6","mappings":{"default":{"default":"rechter äußerer Join"}}},{"category":"Sm","key":"27D7","mappings":{"default":{"default":"Volle äußere Verbindung"}}},{"category":"Sm","key":"27D8","mappings":{"default":{"default":"Große Up Tack"}}},{"category":"Sm","key":"27D9","mappings":{"default":{"default":"Großes Down Tack"}}},{"category":"Sm","key":"27DA","mappings":{"default":{"default":"Linkes und rechtes doppeltes Drehkreuz"}}},{"category":"Sm","key":"27DB","mappings":{"default":{"default":"Linker und rechter Tack"}}},{"category":"Sm","key":"27DC","mappings":{"default":{"default":"Linke Multimap"}}},{"category":"Sm","key":"27DD","mappings":{"default":{"default":"Long Right Tack"}}},{"category":"Sm","key":"27DE","mappings":{"default":{"default":"Langer linker Tack"}}},{"category":"Sm","key":"27DF","mappings":{"default":{"default":"Up Tack mit Kreis oben"}}},{"category":"Sm","key":"27E0","mappings":{"default":{"default":"Raute durch horizontale Regel geteilt"}}},{"category":"Sm","key":"27E1","mappings":{"default":{"default":"Weißer konkavseitiger Diamant"}}},{"category":"Sm","key":"27E2","mappings":{"default":{"default":"Weißer konkavseitiger Diamant mit Zecke nach links"}}},{"category":"Sm","key":"27E3","mappings":{"default":{"default":"Weißer konkavseitiger Diamant mit Zecke nach rechts"}}},{"category":"Sm","key":"27E4","mappings":{"default":{"default":"Weißes Quadrat mit Zecke nach links"}}},{"category":"Sm","key":"27E5","mappings":{"default":{"default":"Weißes Quadrat mit Tick nach rechts"}}},{"category":"Sm","key":"292B","mappings":{"default":{"default":"Steigende diagonale Kreuzung fallende Diagonale"}}},{"category":"Sm","key":"292C","mappings":{"default":{"default":"Fallende diagonale Kreuzung steigende Diagonale"}}},{"category":"Sm","key":"2980","mappings":{"default":{"default":"Dreifacher vertikaler Balkenbegrenzer"}}},{"category":"Sm","key":"2981","mappings":{"default":{"default":"Z Notationspunkt"}}},{"category":"Sm","key":"2982","mappings":{"default":{"default":"Z Notationstyp Doppelpunkt"}}},{"category":"Sm","key":"2999","mappings":{"default":{"default":"Gepunkteter Zaun"}}},{"category":"Sm","key":"299A","mappings":{"default":{"default":"Vertikale Zickzacklinie"}}},{"category":"Sm","key":"29B0","mappings":{"default":{"default":"Umgekehrter leerer Satz"}}},{"category":"Sm","key":"29B1","mappings":{"default":{"default":"Leeres Set mit Overbar"}}},{"category":"Sm","key":"29B2","mappings":{"default":{"default":"Leeres Set mit kleinem Kreis oben"}}},{"category":"Sm","key":"29B5","mappings":{"default":{"default":"Kreis mit horizontaler Leiste"}}},{"key":"29B6","mappings":{"default":{"default":"circled vertical bar"}},"category":"Sm"},{"category":"Sm","key":"29B7","mappings":{"default":{"default":"eingekreiste Parallele"}}},{"category":"Sm","key":"29B8","mappings":{"default":{"default":"eingekreister umgekehrter Schrägstrich"}}},{"category":"Sm","key":"29B9","mappings":{"default":{"default":"eingekreistes Senkrecht"}}},{"category":"Sm","key":"29BA","mappings":{"default":{"default":"Kreis geteilt durch horizontale Leiste und obere Hälfte geteilt durch vertikale Leiste"}}},{"category":"Sm","key":"29BB","mappings":{"default":{"default":"Kreis mit überlagertem X"}}},{"category":"Sm","key":"29BC","mappings":{"default":{"default":"eingekreistes, gegen den Uhrzeigersinn gedrehtes Divisionszeichen"}}},{"category":"Sm","key":"29BE","mappings":{"default":{"default":"eingekreiste weiße Kugel"}}},{"category":"Sm","key":"29BF","mappings":{"default":{"default":"eingekreiste Kugel"}}},{"category":"Sm","key":"29C0","mappings":{"default":{"default":"eingekreist weniger als"}}},{"category":"Sm","key":"29C1","mappings":{"default":{"default":"eingekreist größer als"}}},{"category":"Sm","key":"29C2","mappings":{"default":{"default":"Kreis mit kleinem Kreis nach rechts"}}},{"category":"Sm","key":"29C3","mappings":{"default":{"default":"Kreis mit zwei horizontalen Strichen nach rechts"}}},{"category":"Sm","key":"29C4","mappings":{"default":{"default":"Quadrat mit Diagonale links unten nach rechts oben"}}},{"category":"Sm","key":"29C5","mappings":{"default":{"default":"Quadrat mit Diagonale links oben nach rechts unten"}}},{"category":"Sm","key":"29C6","mappings":{"default":{"default":"Quadrat Sternchen"}}},{"category":"Sm","key":"29C7","mappings":{"default":{"default":"Quadratischer kleiner Kreis"}}},{"category":"Sm","key":"29C8","mappings":{"default":{"default":"Doppelquadrat"}}},{"category":"Sm","key":"29C9","mappings":{"default":{"default":"Zwei verbundene Quadrate"}}},{"category":"Sm","key":"29CA","mappings":{"default":{"default":"Dreieck mit Punkt oben"}}},{"category":"Sm","key":"29CB","mappings":{"default":{"default":"Dreieck mit Unterleiste"}}},{"category":"Sm","key":"29CC","mappings":{"default":{"default":"S im Dreieck"}}},{"category":"Sm","key":"29CD","mappings":{"default":{"default":"Dreieck mit Serifen unten"}}},{"category":"Sm","key":"29CE","mappings":{"default":{"default":"Rechtes Dreieck über linkem Dreieck"}}},{"category":"Sm","key":"29CF","mappings":{"default":{"default":"Linkes Dreieck neben vertikaler Leiste"}}},{"category":"Sm","key":"29D0","mappings":{"default":{"default":"Vertikaler Balken neben dem rechten Dreieck"}}},{"category":"Sm","key":"29D1","mappings":{"default":{"default":"Fliege mit linker Hälfte schwarz"}}},{"category":"Sm","key":"29D2","mappings":{"default":{"default":"Fliege mit rechter Hälfte schwarz"}}},{"category":"Sm","key":"29D3","mappings":{"default":{"default":"Schwarze Fliege"}}},{"category":"Sm","key":"29D4","mappings":{"default":{"default":"Zeiten mit linker Hälfte schwarz"}}},{"category":"Sm","key":"29D5","mappings":{"default":{"default":"Mal mit rechter Hälfte Schwarz"}}},{"category":"Sm","key":"29D6","mappings":{"default":{"default":"Weiße Sanduhr"}}},{"category":"Sm","key":"29D7","mappings":{"default":{"default":"Schwarze Sanduhr"}}},{"category":"Sm","key":"29DC","mappings":{"default":{"default":"Unvollständige Unendlichkeit"}}},{"category":"Sm","key":"29DD","mappings":{"default":{"default":"Krawatte über Unendlichkeit"}}},{"category":"Sm","key":"29DE","mappings":{"default":{"default":"Unendlichkeit mit vertikaler Leiste negiert"}}},{"category":"Sm","key":"29DF","mappings":{"default":{"default":"Doppelter Multimap"}}},{"category":"Sm","key":"29E0","mappings":{"default":{"default":"Quadrat mit konturierter Kontur"}}},{"category":"Sm","key":"29E1","mappings":{"default":{"default":"Erhöht als"}}},{"category":"Sm","key":"29E2","mappings":{"default":{"default":"Produkt mischen"}}},{"category":"Sm","key":"29E3","mappings":{"default":{"default":"Gleichheitszeichen und geneigte Parallele"}}},{"category":"Sm","key":"29E4","mappings":{"default":{"default":"Gleichheitszeichen und schräge Parallele zu Tilde oben"}}},{"category":"Sm","key":"29E5","mappings":{"default":{"default":"Identisch und schräg parallel"}}},{"category":"Sm","key":"29E6","mappings":{"default":{"default":"Gleich Stark"}}},{"category":"Sm","key":"29E7","mappings":{"default":{"default":"Thermodynamisch"}}},{"category":"Sm","key":"29E8","mappings":{"default":{"default":"Abwärtszeigendes Dreieck mit linker Hälfte schwarz"}}},{"category":"Sm","key":"29E9","mappings":{"default":{"default":"Abwärtsdreieck mit rechter Hälfte schwarz"}}},{"category":"Sm","key":"29EB","mappings":{"default":{"default":"Schwarze Raute"}}},{"category":"Sm","key":"29EE","mappings":{"default":{"default":"Fehlergesperrtes weißes Quadrat"}}},{"category":"Sm","key":"29EF","mappings":{"default":{"default":"Fehlerfreies schwarzes Quadrat"}}},{"category":"Sm","key":"29F0","mappings":{"default":{"default":"Fehlergesperrter weißer Diamant"}}},{"category":"Sm","key":"29F1","mappings":{"default":{"default":"Error-Barred Black Diamond"}}},{"category":"Sm","key":"29F2","mappings":{"default":{"default":"Fehlergesperrter weißer Kreis"}}},{"category":"Sm","key":"29F3","mappings":{"default":{"default":"Fehlergesperrter schwarzer Kreis"}}},{"key":"29F4","mappings":{"default":{"default":"rule delayed"}},"category":"Sm"},{"category":"Sm","key":"29F5","mappings":{"default":{"default":"Umgekehrter Schrägstrich Operator"}}},{"category":"Sm","key":"29F6","mappings":{"default":{"default":"Schrägstrich mit Overbar"}}},{"category":"Sm","key":"29F7","mappings":{"default":{"default":"Umgekehrter Schrägstrich mit horizontalem Hub"}}},{"category":"Sm","key":"29F8","mappings":{"default":{"default":"Großer Schrägstrich"}}},{"category":"Sm","key":"29F9","mappings":{"default":{"default":"Großer umgekehrter Schrägstrich"}}},{"category":"Sm","key":"29FA","mappings":{"default":{"default":"Doppel plus"}}},{"category":"Sm","key":"29FB","mappings":{"default":{"default":"Triple Plus"}}},{"category":"Sm","key":"29FE","mappings":{"default":{"default":"Winzig"}}},{"category":"Sm","key":"29FF","mappings":{"default":{"default":"Miny"}}},{"category":"Sm","key":"2A00","mappings":{"default":{"default":"N-Ary Circled-Punkt-Operator"}}},{"category":"Sm","key":"2A01","mappings":{"default":{"default":"N-Ary Circled Plus Operator"}}},{"category":"Sm","key":"2A02","mappings":{"default":{"default":"N-Ary Circled-Times-Operator"}}},{"category":"Sm","key":"2A03","mappings":{"default":{"default":"N-Ary Union-Operator mit Punkt"}}},{"category":"Sm","key":"2A04","mappings":{"default":{"default":"N-Ary Union-Operator mit Plus"}}},{"category":"Sm","key":"2A05","mappings":{"default":{"default":"N-Ary Square-Kreuzungsoperator"}}},{"category":"Sm","key":"2A06","mappings":{"default":{"default":"N-Ary Square Union-Betreiber"}}},{"category":"Sm","key":"2A07","mappings":{"default":{"default":"Zwei logische und Operator"}}},{"category":"Sm","key":"2A08","mappings":{"default":{"default":"Zwei logisch oder Operator"}}},{"category":"Sm","key":"2A09","mappings":{"default":{"default":"N-Ary Times-Operator"}}},{"category":"Sm","key":"2A0A","mappings":{"default":{"default":"Modulo Zwei Summe"}}},{"category":"Sm","key":"2A0B","mappings":{"default":{"default":"Summation mit Integral"}}},{"category":"Sm","key":"2A0C","mappings":{"default":{"default":"Vierfach-Integral-Operator"}}},{"category":"Sm","key":"2A0D","mappings":{"default":{"default":"Finite Part Integral"}}},{"category":"Sm","key":"2A0E","mappings":{"default":{"default":"Integral mit Doppelhub"}}},{"category":"Sm","key":"2A0F","mappings":{"default":{"default":"Integraler Durchschnitt mit Schrägstrich"}}},{"category":"Sm","key":"2A10","mappings":{"default":{"default":"Zirkulationsfunktion"}}},{"category":"Sm","key":"2A11","mappings":{"default":{"default":"Integration gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"2A12","mappings":{"default":{"default":"Linienintegration mit rechteckigem Pfad um die Pole"}}},{"category":"Sm","key":"2A13","mappings":{"default":{"default":"Linienintegration mit halbkreisförmigem Pfad um den Pol"}}},{"category":"Sm","key":"2A14","mappings":{"default":{"default":"Leitungsintegration ohne Pole"}}},{"category":"Sm","key":"2A15","mappings":{"default":{"default":"Integral um einen Punktoperator"}}},{"category":"Sm","key":"2A16","mappings":{"default":{"default":"Quaternion Integral Operator"}}},{"category":"Sm","key":"2A18","mappings":{"default":{"default":"Integriert mit Times Sign"}}},{"category":"Sm","key":"2A19","mappings":{"default":{"default":"Integral mit der Kreuzung"}}},{"category":"Sm","key":"2A1A","mappings":{"default":{"default":"Integral mit Union"}}},{"category":"Sm","key":"2A1B","mappings":{"default":{"default":"Integral mit Overbar"}}},{"category":"Sm","key":"2A1C","mappings":{"default":{"default":"Integral mit Underbar"}}},{"category":"Sm","key":"2A1D","mappings":{"default":{"default":"Beitreten"}}},{"category":"Sm","key":"2A1E","mappings":{"default":{"default":"Großes linkes Dreieckbediener"}}},{"category":"Sm","key":"2A1F","mappings":{"default":{"default":"Z-Notationsschema-Zusammensetzung"}}},{"category":"Sm","key":"2A20","mappings":{"default":{"default":"Z-Notationsschema-Piping"}}},{"category":"Sm","key":"2A21","mappings":{"default":{"default":"Z-Notationsschema-Projektion"}}},{"category":"Sm","key":"2A22","mappings":{"default":{"default":"Pluszeichen mit kleinem Kreis oben"}}},{"category":"Sm","key":"2A23","mappings":{"default":{"default":"Pluszeichen mit Zirkumflex-Akzent oben"}}},{"category":"Sm","key":"2A24","mappings":{"default":{"default":"Pluszeichen mit Tilde oben"}}},{"category":"Sm","key":"2A25","mappings":{"default":{"default":"Pluszeichen mit Punkt unten"}}},{"category":"Sm","key":"2A26","mappings":{"default":{"default":"Pluszeichen mit Tilde unter"}}},{"category":"Sm","key":"2A27","mappings":{"default":{"default":"Pluszeichen mit Index Zwei"}}},{"category":"Sm","key":"2A28","mappings":{"default":{"default":"Pluszeichen mit schwarzem Dreieck"}}},{"category":"Sm","key":"2A29","mappings":{"default":{"default":"Minuszeichen mit Komma oben"}}},{"category":"Sm","key":"2A2A","mappings":{"default":{"default":"Minuszeichen mit Punkt unten"}}},{"category":"Sm","key":"2A2B","mappings":{"default":{"default":"Minuszeichen mit fallenden Punkten"}}},{"category":"Sm","key":"2A2C","mappings":{"default":{"default":"Minuszeichen mit steigenden Punkten"}}},{"category":"Sm","key":"2A2D","mappings":{"default":{"default":"Pluszeichen Im linken Halbkreis"}}},{"category":"Sm","key":"2A2E","mappings":{"default":{"default":"Pluszeichen Im rechten Halbkreis"}}},{"category":"Sm","key":"2A2F","mappings":{"default":{"default":"Vektor- oder Kreuzprodukt"}}},{"category":"Sm","key":"2A30","mappings":{"default":{"default":"Multiplikationszeichen mit Punkt oben"}}},{"category":"Sm","key":"2A31","mappings":{"default":{"default":"Multiplikationszeichen mit Unterleiste"}}},{"category":"Sm","key":"2A32","mappings":{"default":{"default":"Semidirektprodukt mit geschlossenem Boden"}}},{"key":"2A33","mappings":{"default":{"default":"smash product"}},"category":"Sm"},{"category":"Sm","key":"2A34","mappings":{"default":{"default":"Multiplikationszeichen im linken Halbkreis"}}},{"category":"Sm","key":"2A35","mappings":{"default":{"default":"Multiplikationszeichen im rechten Halbkreis"}}},{"category":"Sm","key":"2A36","mappings":{"default":{"default":"eingekreistes Multiplikationszeichen mit Circumflex-Akzent"}}},{"category":"Sm","key":"2A37","mappings":{"default":{"default":"Multiplikationszeichen im doppelten Kreis"}}},{"key":"2A38","mappings":{"default":{"default":"circled division sign"}},"category":"Sm"},{"category":"Sm","key":"2A39","mappings":{"default":{"default":"Pluszeichen im Dreieck"}}},{"category":"Sm","key":"2A3A","mappings":{"default":{"default":"Minuszeichen im Dreieck"}}},{"category":"Sm","key":"2A3B","mappings":{"default":{"default":"Multiplikationszeichen im Dreieck"}}},{"category":"Sm","key":"2A3C","mappings":{"default":{"default":"Innenprodukt"}}},{"category":"Sm","key":"2A3D","mappings":{"default":{"default":"Produkt für den rechten Innenraum"}}},{"category":"Sm","key":"2A3E","mappings":{"default":{"default":"Z-Notation relationaler Aufbau"}}},{"category":"Sm","key":"2A3F","mappings":{"default":{"default":"Verschmelzung oder Koprodukt"}}},{"category":"Sm","key":"2A40","mappings":{"default":{"default":"Schnittpunkt mit Punkt"}}},{"category":"Sm","key":"2A41","mappings":{"default":{"default":"Union mit Minuszeichen"}}},{"category":"Sm","key":"2A42","mappings":{"default":{"default":"Union mit Overbar"}}},{"category":"Sm","key":"2A43","mappings":{"default":{"default":"Kreuzung mit Overbar"}}},{"category":"Sm","key":"2A44","mappings":{"default":{"default":"Überschneidung mit logischem und"}}},{"category":"Sm","key":"2A45","mappings":{"default":{"default":"Vereinigung mit logischem Or"}}},{"category":"Sm","key":"2A46","mappings":{"default":{"default":"Vereinigung über dem Schnittpunkt"}}},{"category":"Sm","key":"2A47","mappings":{"default":{"default":"Schnittpunkt über Union"}}},{"category":"Sm","key":"2A48","mappings":{"default":{"default":"Vereinigung über Stab über Kreuzung"}}},{"category":"Sm","key":"2A49","mappings":{"default":{"default":"Schnittpunkt oberhalb der Stange oberhalb der Union"}}},{"category":"Sm","key":"2A4A","mappings":{"default":{"default":"Union daneben und mit Union verbunden"}}},{"category":"Sm","key":"2A4B","mappings":{"default":{"default":"Kreuzung neben und mit Kreuzung verbunden"}}},{"category":"Sm","key":"2A4C","mappings":{"default":{"default":"Geschlossene Vereinigung mit Serifen"}}},{"category":"Sm","key":"2A4D","mappings":{"default":{"default":"Geschlossener Schnittpunkt mit Serifen"}}},{"category":"Sm","key":"2A4E","mappings":{"default":{"default":"Doppelter Quadratschnitt"}}},{"category":"Sm","key":"2A4F","mappings":{"default":{"default":"Double Square Union"}}},{"category":"Sm","key":"2A50","mappings":{"default":{"default":"Closed Union mit Serifen und Smash-Produkten"}}},{"category":"Sm","key":"2A51","mappings":{"default":{"default":"Logisch und mit Punkt oben"}}},{"category":"Sm","key":"2A52","mappings":{"default":{"default":"Logisch oder mit Punkt oben"}}},{"key":"2A53","mappings":{"default":{"default":"double logical and"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"double logical or"}},"category":"Sm"},{"category":"Sm","key":"2A55","mappings":{"default":{"default":"Zwei durchschneiden logisch und"}}},{"category":"Sm","key":"2A56","mappings":{"default":{"default":"Zwei sich überschneidende logische Oder"}}},{"category":"Sm","key":"2A57","mappings":{"default":{"default":"Abfallend groß oder"}}},{"category":"Sm","key":"2A58","mappings":{"default":{"default":"Abfallend groß und"}}},{"category":"Sm","key":"2A59","mappings":{"default":{"default":"Logisch oder Überlappend Logisch Und"}}},{"category":"Sm","key":"2A5A","mappings":{"default":{"default":"Logisch und mit Middle Stem"}}},{"category":"Sm","key":"2A5B","mappings":{"default":{"default":"Logisch oder mit Middle Stem"}}},{"category":"Sm","key":"2A5C","mappings":{"default":{"default":"Logisch und mit Horizontalstrich"}}},{"category":"Sm","key":"2A5D","mappings":{"default":{"default":"Logisch oder mit Horizontalstrich"}}},{"category":"Sm","key":"2A5E","mappings":{"default":{"default":"Logisch und mit Double Overbar"}}},{"category":"Sm","key":"2A5F","mappings":{"default":{"default":"Logisch und mit Underbar"}}},{"category":"Sm","key":"2A60","mappings":{"default":{"default":"Logisch und mit Double Underbar"}}},{"category":"Sm","key":"2A61","mappings":{"default":{"default":"kleines Vee mit Underbar"}}},{"category":"Sm","key":"2A62","mappings":{"default":{"default":"Logisch oder mit Double Overbar"}}},{"category":"Sm","key":"2A63","mappings":{"default":{"default":"Logisch oder mit doppelter Unterleiste"}}},{"category":"Sm","key":"2A64","mappings":{"default":{"default":"Z-Notation Domain Antirestriction"}}},{"category":"Sm","key":"2A65","mappings":{"default":{"default":"Z Notationsbereich Antirestriction"}}},{"category":"Sm","key":"2A66","mappings":{"default":{"default":"Gleichheitszeichen mit Punkt unten"}}},{"category":"Sm","key":"2A67","mappings":{"default":{"default":"Identisch mit dem obigen Punkt"}}},{"category":"Sm","key":"2A68","mappings":{"default":{"default":"Dreifacher Horizontalbalken mit doppeltem vertikalem Hub"}}},{"category":"Sm","key":"2A69","mappings":{"default":{"default":"Dreifacher Horizontalbalken mit dreifachem vertikalem Hub"}}},{"category":"Sm","key":"2A6A","mappings":{"default":{"default":"Tilde-Operator mit Punkt oben"}}},{"category":"Sm","key":"2A6B","mappings":{"default":{"default":"Tilde-Operator mit steigenden Punkten"}}},{"category":"Sm","key":"2A6C","mappings":{"default":{"default":"Ähnlich Minus Ähnlich"}}},{"category":"Sm","key":"2A6D","mappings":{"default":{"default":"Kongruent mit Punkt oben"}}},{"category":"Sm","key":"2A6E","mappings":{"default":{"default":"Entspricht Asterisk"}}},{"category":"Sm","key":"2A6F","mappings":{"default":{"default":"Fast gleichwertig mit dem Circumflex Accent"}}},{"category":"Sm","key":"2A70","mappings":{"default":{"default":"Ungefähr gleich oder gleich zu"}}},{"category":"Sm","key":"2A71","mappings":{"default":{"default":"Gleichheitszeichen über Pluszeichen"}}},{"category":"Sm","key":"2A72","mappings":{"default":{"default":"Pluszeichen über Gleichheitszeichen"}}},{"category":"Sm","key":"2A73","mappings":{"default":{"default":"Gleichheitszeichen über Tilde-Operator"}}},{"category":"Sm","key":"2A74","mappings":{"default":{"default":"Doppelpunkt gleich"}}},{"key":"2A75","mappings":{"default":{"default":"double equal"}},"category":"Sm"},{"category":"Sm","key":"2A76","mappings":{"default":{"default":"Drei aufeinander folgende Gleichheitszeichen"}}},{"category":"Sm","key":"2A77","mappings":{"default":{"default":"Gleichheitszeichen mit zwei Punkten oben und zwei Punkten unten"}}},{"category":"Sm","key":"2A78","mappings":{"default":{"default":"Gleichwertig mit vier Punkten oben"}}},{"category":"Sm","key":"2A79","mappings":{"default":{"default":"Weniger als mit Circle Inside"}}},{"category":"Sm","key":"2A7A","mappings":{"default":{"default":"Größer als mit Kreis nach innen"}}},{"category":"Sm","key":"2A7B","mappings":{"default":{"default":"Weniger als mit Fragezeichen oben"}}},{"category":"Sm","key":"2A7C","mappings":{"default":{"default":"Größer als mit Fragezeichen oben"}}},{"category":"Sm","key":"2A7D","mappings":{"default":{"default":"Weniger als oder schräg gleich"}}},{"category":"Sm","key":"2A7E","mappings":{"default":{"default":"Größer als oder schräg gleich"}}},{"category":"Sm","key":"2A7F","mappings":{"default":{"default":"Weniger als oder schräg gleich mit Punkt nach innen"}}},{"category":"Sm","key":"2A80","mappings":{"default":{"default":"Größer als oder schräg gleich mit Punkt nach innen"}}},{"category":"Sm","key":"2A81","mappings":{"default":{"default":"Weniger als oder schräg gleich mit Punkt oben"}}},{"category":"Sm","key":"2A82","mappings":{"default":{"default":"Größer als oder schräg gleich mit Punkt oben"}}},{"category":"Sm","key":"2A83","mappings":{"default":{"default":"Weniger als oder schräg gleich mit Punkt oben rechts"}}},{"category":"Sm","key":"2A84","mappings":{"default":{"default":"Größer als oder schräg gleich mit Punkt oben links"}}},{"category":"Sm","key":"2A85","mappings":{"default":{"default":"Weniger als oder ungefähr"}}},{"category":"Sm","key":"2A86","mappings":{"default":{"default":"Größer als oder ungefähr"}}},{"category":"Sm","key":"2A87","mappings":{"default":{"default":"Kleiner als aber nicht gleich"}}},{"category":"Sm","key":"2A88","mappings":{"default":{"default":"Größer als aber nicht gleich"}}},{"key":"2A89","mappings":{"default":{"default":"Kleiner als aber nicht ungefähr gleich"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"Größer als aber nicht ungefähr gleich"}},"category":"Sm"},{"category":"Sm","key":"2A8B","mappings":{"default":{"default":"Weniger als aber größer als oben"}}},{"category":"Sm","key":"2A8C","mappings":{"default":{"default":"Größer als aber weniger als unten und größer als oben"}}},{"category":"Sm","key":"2A8D","mappings":{"default":{"default":"Weniger als oben ähnlich oder gleich"}}},{"category":"Sm","key":"2A8E","mappings":{"default":{"default":"Größer als oben ähnlich oder gleich"}}},{"category":"Sm","key":"2A8F","mappings":{"default":{"default":"Weniger als oben ähnlich oben größer als"}}},{"category":"Sm","key":"2A90","mappings":{"default":{"default":"Größer als oben Ähnlich oben"}}},{"key":"2A91","mappings":{"default":{"default":"less than greater than or equal to"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"greater than less than or equal to"}},"category":"Sm"},{"category":"Sm","key":"2A93","mappings":{"default":{"default":"Weniger als oben schräg gleich oben Größer als oben schräg gleich"}}},{"category":"Sm","key":"2A94","mappings":{"default":{"default":"Größer als oben schräg gleich oben kleiner als oben schräg gleich groß"}}},{"category":"Sm","key":"2A95","mappings":{"default":{"default":"Schräg gleich oder kleiner als"}}},{"category":"Sm","key":"2A96","mappings":{"default":{"default":"Schräg gleich oder größer als"}}},{"category":"Sm","key":"2A97","mappings":{"default":{"default":"Schräg gleich oder kleiner als mit innenliegendem Punkt"}}},{"category":"Sm","key":"2A98","mappings":{"default":{"default":"Schräg gleich oder größer als mit Punkt nach innen"}}},{"key":"2A99","mappings":{"default":{"default":"Gleich oder kleiner als"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"Gleich oder größer als"}},"category":"Sm"},{"category":"Sm","key":"2A9B","mappings":{"default":{"default":"Doppelte Linie schräg gleich oder kleiner als"}}},{"category":"Sm","key":"2A9C","mappings":{"default":{"default":"Doppelte Linie schräg gleich oder größer als"}}},{"key":"2A9D","mappings":{"default":{"default":"Äquivalent oder kleiner als"}},"category":"Sm"},{"category":"Sm","key":"2A9E","mappings":{"default":{"default":"Ähnlich oder größer als"}}},{"category":"Sm","key":"2A9F","mappings":{"default":{"default":"Ähnlich oben Weniger als Gleiches Gleichheitszeichen"}}},{"category":"Sm","key":"2AA0","mappings":{"default":{"default":"Ähnlich oben größer als oben Gleichheitszeichen"}}},{"key":"2AA1","mappings":{"default":{"default":"Verschachteltes kleiner als"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"Verschachteltes größer als"}},"category":"Sm"},{"category":"Sm","key":"2AA3","mappings":{"default":{"default":"Doppelt verschachtelt, weniger als mit Unterleiste"}}},{"key":"2AA4","mappings":{"default":{"default":"less than greater than overlay"}},"category":"Sm"},{"category":"Sm","key":"2AA5","mappings":{"default":{"default":"Größer als weniger als"}}},{"category":"Sm","key":"2AA6","mappings":{"default":{"default":"Weniger als durch Kurve geschlossen"}}},{"category":"Sm","key":"2AA7","mappings":{"default":{"default":"Größer als durch Kurve geschlossen"}}},{"category":"Sm","key":"2AA8","mappings":{"default":{"default":"Weniger als dann geschlossen durch Kurve oberhalb der gleichen Neigung"}}},{"category":"Sm","key":"2AA9","mappings":{"default":{"default":"Größer als geschlossen durch Kurve oberhalb der gleichen Neigung"}}},{"category":"Sm","key":"2AAA","mappings":{"default":{"default":"kleiner als"}}},{"category":"Sm","key":"2AAB","mappings":{"default":{"default":"Größer als"}}},{"category":"Sm","key":"2AAC","mappings":{"default":{"default":"kleiner als oder gleich"}}},{"category":"Sm","key":"2AAD","mappings":{"default":{"default":"Größer als oder gleich"}}},{"key":"2AAE","mappings":{"default":{"default":"difference between (variant"}},"category":"Sm"},{"category":"Sm","key":"2AAF","mappings":{"default":{"default":"Stellt über dem einzeiligen Gleichheitszeichen ein"}}},{"category":"Sm","key":"2AB0","mappings":{"default":{"default":"Erfolg über dem einzeiligen Gleichheitszeichen"}}},{"category":"Sm","key":"2AB1","mappings":{"default":{"default":"Vorangehende Single-Line ist nicht gleich"}}},{"category":"Sm","key":"2AB2","mappings":{"default":{"default":"Erfolg über Single-Line nicht gleich"}}},{"category":"Sm","key":"2AB3","mappings":{"default":{"default":"Vorangegangenes Gleichheitszeichen"}}},{"category":"Sm","key":"2AB4","mappings":{"default":{"default":"Erfolgreich über Gleichheitszeichen"}}},{"key":"2AB5","mappings":{"default":{"default":"precedes but not equal to"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"succeeds but not equal to"}},"category":"Sm"},{"category":"Sm","key":"2AB7","mappings":{"default":{"default":"Vorangegangenes fast gleich zu"}}},{"category":"Sm","key":"2AB8","mappings":{"default":{"default":"Erreicht über fast gleich viel"}}},{"category":"Sm","key":"2AB9","mappings":{"default":{"default":"Vorangegangene nicht annähernd gleich"}}},{"category":"Sm","key":"2ABA","mappings":{"default":{"default":"Erreicht oben nicht annähernd gleich"}}},{"category":"Sm","key":"2ABB","mappings":{"default":{"default":"Doppelter Vorgänger"}}},{"category":"Sm","key":"2ABC","mappings":{"default":{"default":"Doppelter Erfolg"}}},{"category":"Sm","key":"2ABD","mappings":{"default":{"default":"Teilmenge mit Punkt"}}},{"category":"Sm","key":"2ABE","mappings":{"default":{"default":"Superset mit Punkt"}}},{"category":"Sm","key":"2ABF","mappings":{"default":{"default":"Teilmenge mit Pluszeichen unten"}}},{"category":"Sm","key":"2AC0","mappings":{"default":{"default":"Superset mit Pluszeichen unten"}}},{"category":"Sm","key":"2AC1","mappings":{"default":{"default":"Teilmenge mit Multiplikationszeichen unten"}}},{"category":"Sm","key":"2AC2","mappings":{"default":{"default":"Superset mit Multiplikationszeichen unten"}}},{"category":"Sm","key":"2AC3","mappings":{"default":{"default":"Teilmenge oder gleich mit dem obigen Punkt"}}},{"category":"Sm","key":"2AC4","mappings":{"default":{"default":"Superset von oder gleich mit Punkt oben"}}},{"category":"Sm","key":"2AC5","mappings":{"default":{"default":"Teilmenge des obigen Gleichheitszeichens"}}},{"category":"Sm","key":"2AC6","mappings":{"default":{"default":"Superset des obigen Gleichheitszeichens"}}},{"key":"2AC7","mappings":{"default":{"default":"approximate subset of"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"approximate superset of"}},"category":"Sm"},{"category":"Sm","key":"2AC9","mappings":{"default":{"default":"Teilmenge von oben fast gleich"}}},{"category":"Sm","key":"2ACA","mappings":{"default":{"default":"Superset von oben fast gleichwertig"}}},{"category":"Sm","key":"2ACB","mappings":{"default":{"default":"Teilmenge von oben nicht gleich"}}},{"category":"Sm","key":"2ACC","mappings":{"default":{"default":"Superset von oben nicht gleich"}}},{"category":"Sm","key":"2ACD","mappings":{"default":{"default":"Platz links Feldbetreiber geöffnet"}}},{"category":"Sm","key":"2ACE","mappings":{"default":{"default":"Rechteckige Box mit offener Box"}}},{"category":"Sm","key":"2ACF","mappings":{"default":{"default":"Geschlossener Teilsatz"}}},{"category":"Sm","key":"2AD0","mappings":{"default":{"default":"Superset geschlossen"}}},{"category":"Sm","key":"2AD1","mappings":{"default":{"default":"Geschlossene Untermenge oder gleich"}}},{"category":"Sm","key":"2AD2","mappings":{"default":{"default":"Superset geschlossen oder gleich"}}},{"key":"2AD3","mappings":{"default":{"default":"subset over superset"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"superset over subset"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"subset over subset"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"superset over superset"}},"category":"Sm"},{"category":"Sm","key":"2AD7","mappings":{"default":{"default":"Superset neben dem Subset"}}},{"category":"Sm","key":"2AD8","mappings":{"default":{"default":"Superset Neben und Joined von Dash mit Subset"}}},{"category":"Sm","key":"2AD9","mappings":{"default":{"default":"Element der Öffnung nach unten"}}},{"category":"Sm","key":"2ADA","mappings":{"default":{"default":"Heugabel mit T-Stück"}}},{"category":"Sm","key":"2ADB","mappings":{"default":{"default":"Transversalschnitt"}}},{"category":"Sm","key":"2ADC","mappings":{"default":{"default":"Gabelung"}}},{"category":"Sm","key":"2ADD","mappings":{"default":{"default":"Nicht Gabeln"}}},{"category":"Sm","key":"2ADE","mappings":{"default":{"default":"Kurzer Linker Tack"}}},{"category":"Sm","key":"2ADF","mappings":{"default":{"default":"Kurzer Down Tack"}}},{"category":"Sm","key":"2AE0","mappings":{"default":{"default":"Short Up Tack"}}},{"category":"Sm","key":"2AE1","mappings":{"default":{"default":"Rechtwinklig zu S"}}},{"category":"Sm","key":"2AE2","mappings":{"default":{"default":"Vertikales Dreifach-Drehkreuz"}}},{"category":"Sm","key":"2AE3","mappings":{"default":{"default":"Doppelter vertikaler Balken linkes Drehkreuz"}}},{"key":"2AE4","mappings":{"default":{"default":"double left turnstile vertical bar"}},"category":"Sm"},{"category":"Sm","key":"2AE5","mappings":{"default":{"default":"Doppelter vertikaler Balken Doppelter linker Drehkreuz"}}},{"category":"Sm","key":"2AE6","mappings":{"default":{"default":"Long Dash von Left Member von Double Vertical"}}},{"category":"Sm","key":"2AE7","mappings":{"default":{"default":"Short Down Tack mit Overbar"}}},{"key":"2AE8","mappings":{"default":{"default":"perpendicular over bar"}},"category":"Sm"},{"category":"Sm","key":"2AE9","mappings":{"default":{"default":"Short Up Tack Über Short Down Tack"}}},{"category":"Sm","key":"2AEA","mappings":{"default":{"default":"Double Down Tack"}}},{"category":"Sm","key":"2AEB","mappings":{"default":{"default":"Verdoppeln Sie Tack"}}},{"category":"Sm","key":"2AEC","mappings":{"default":{"default":"Doppelstrich nicht unterschreiben"}}},{"category":"Sm","key":"2AED","mappings":{"default":{"default":"Umgekehrter Doppelstrich nicht unterschrieben"}}},{"category":"Sm","key":"2AEE","mappings":{"default":{"default":"Teilt sich nicht mit umgekehrten Negationsschrägstrich"}}},{"category":"Sm","key":"2AEF","mappings":{"default":{"default":"Vertikale Linie mit Kreis oben"}}},{"category":"Sm","key":"2AF0","mappings":{"default":{"default":"Vertikale Linie mit Kreis unten"}}},{"category":"Sm","key":"2AF1","mappings":{"default":{"default":"Down Tack mit Kreis unten"}}},{"category":"Sm","key":"2AF2","mappings":{"default":{"default":"Parallel zum horizontalen Anschlag"}}},{"category":"Sm","key":"2AF3","mappings":{"default":{"default":"Parallel zu Tilde Operator"}}},{"category":"Sm","key":"2AF4","mappings":{"default":{"default":"Dreifache vertikale Balken-Binärbeziehung"}}},{"category":"Sm","key":"2AF5","mappings":{"default":{"default":"Dreifacher vertikaler Strich mit horizontalem Hub"}}},{"category":"Sm","key":"2AF6","mappings":{"default":{"default":"Triple Colon Operator"}}},{"category":"Sm","key":"2AF7","mappings":{"default":{"default":"Dreifach verschachtelt weniger als"}}},{"category":"Sm","key":"2AF8","mappings":{"default":{"default":"Dreifach verschachteltes Größeres als"}}},{"category":"Sm","key":"2AF9","mappings":{"default":{"default":"Doppellinie schräg, weniger als oder gleich"}}},{"category":"Sm","key":"2AFA","mappings":{"default":{"default":"Doppelte Linie schräg größer als oder gleich"}}},{"category":"Sm","key":"2AFB","mappings":{"default":{"default":"Dreifache Schrägstrich-Binärbeziehung"}}},{"category":"Sm","key":"2AFC","mappings":{"default":{"default":"Großer dreifacher vertikaler Barbediener"}}},{"category":"Sm","key":"2AFD","mappings":{"default":{"default":"Doppelter Schrägstrich-Operator"}}},{"category":"Sm","key":"2AFE","mappings":{"default":{"default":"Weiße vertikale Leiste"}}},{"category":"Sm","key":"2AFF","mappings":{"default":{"default":"N-Ary White Vertical Bar"}}},{"category":"Pd","key":"301C","mappings":{"default":{"default":"Wave Dash"}}},{"category":"Po","key":"FE10","mappings":{"default":{"default":"Präsentationsformular für vertikales Komma"}}},{"category":"Po","key":"FE13","mappings":{"default":{"default":"Präsentationsformular für vertikalen Doppelpunkt"}}},{"category":"Po","key":"FE14","mappings":{"default":{"default":"Präsentationsformular für vertikales Semikolon"}}},{"category":"Po","key":"FE15","mappings":{"default":{"default":"Präsentationsformular für vertikales Ausrufezeichen"}}},{"category":"Po","key":"FE16","mappings":{"default":{"default":"Präsentationsformular für vertikales Fragezeichen"}}},{"category":"Po","key":"FE19","mappings":{"default":{"default":"Präsentationsformular für vertikale horizontale Ellipsen"}}},{"category":"Po","key":"FE30","mappings":{"default":{"default":"Präsentationsformular für vertikalen Zwei-Punkt-Leader"}}},{"category":"Pd","key":"FE31","mappings":{"default":{"default":"Präsentationsformular für Vertical Em Dash"}}},{"category":"Pd","key":"FE32","mappings":{"default":{"default":"Präsentationsformular für Vertical En Dash"}}},{"category":"Pc","key":"FE33","mappings":{"default":{"default":"Präsentationsformular für Vertical Low Line"}}},{"category":"Pc","key":"FE34","mappings":{"default":{"default":"Präsentationsformular für Vertical Wavy Low Line"}}},{"category":"Po","key":"FE45","mappings":{"default":{"default":"Sesampunkt"}}},{"category":"Po","key":"FE46","mappings":{"default":{"default":"Weißer Sesam Punkt"}}},{"category":"Po","key":"FE49","mappings":{"default":{"default":"Gestrichelte Überlänge"}}},{"category":"Po","key":"FE4A","mappings":{"default":{"default":"Centreline Overline"}}},{"category":"Po","key":"FE4B","mappings":{"default":{"default":"Wellenförmige Überlänge"}}},{"category":"Po","key":"FE4C","mappings":{"default":{"default":"Doppelte Wellenlinie"}}},{"category":"Pc","key":"FE4D","mappings":{"default":{"default":"Gestrichelte Low Line"}}},{"category":"Pc","key":"FE4E","mappings":{"default":{"default":"Mittellinie Low Line"}}},{"category":"Pc","key":"FE4F","mappings":{"default":{"default":"Wellenförmige Low Line"}}},{"category":"Po","key":"FE50","mappings":{"default":{"default":"kleines Komma"}}},{"category":"Po","key":"FE52","mappings":{"default":{"default":"kleiner Punkt"}}},{"category":"Po","key":"FE54","mappings":{"default":{"default":"kleines Semikolon"}}},{"category":"Po","key":"FE55","mappings":{"default":{"default":"kleiner Doppelpunkt"}}},{"category":"Po","key":"FE56","mappings":{"default":{"default":"kleines Fragezeichen"}}},{"category":"Po","key":"FE57","mappings":{"default":{"default":"kleines Ausrufezeichen"}}},{"category":"Pd","key":"FE58","mappings":{"default":{"default":"kleiner Em Dash"}}},{"category":"Po","key":"FE5F","mappings":{"default":{"default":"kleines Nummernzeichen"}}},{"category":"Po","key":"FE60","mappings":{"default":{"default":"kleines kaufmännisches"}}},{"category":"Po","key":"FE61","mappings":{"default":{"default":"kleines Sternchen"}}},{"category":"Sm","key":"FE62","mappings":{"default":{"default":"kleines Pluszeichen"}}},{"category":"Pd","key":"FE63","mappings":{"default":{"default":"kleiner Bindestrich-Minus"}}},{"category":"Sm","key":"FE64","mappings":{"default":{"default":"kleines weniger als Zeichen"}}},{"category":"Sm","key":"FE65","mappings":{"default":{"default":"kleines Größeres als Zeichen"}}},{"category":"Sm","key":"FE66","mappings":{"default":{"default":"kleines Gleichheitszeichen"}}},{"category":"Po","key":"FE68","mappings":{"default":{"default":"kleiner umgekehrter Schrägstrich"}}},{"category":"Sc","key":"FE69","mappings":{"default":{"default":"kleines Dollarzeichen"}}},{"category":"Po","key":"FE6A","mappings":{"default":{"default":"kleines Prozentzeichen"}}},{"category":"Po","key":"FE6B","mappings":{"default":{"default":"kleine kommerzielle bei"}}},{"category":"Po","key":"FF01","mappings":{"default":{"default":"vollbreites Ausrufezeichen"}}},{"category":"Po","key":"FF02","mappings":{"default":{"default":"vollbreites Anführungszeichen"}}},{"category":"Po","key":"FF03","mappings":{"default":{"default":"vollbreites Nummernzeichen"}}},{"category":"Sc","key":"FF04","mappings":{"default":{"default":"vollbreites Dollarzeichen"}}},{"category":"Po","key":"FF05","mappings":{"default":{"default":"vollbreites Prozentzeichen"}}},{"category":"Po","key":"FF06","mappings":{"default":{"default":"vollbreites kaufmännisches und"}}},{"category":"Po","key":"FF07","mappings":{"default":{"default":"vollbreites Apostroph"}}},{"category":"Po","key":"FF0A","mappings":{"default":{"default":"vollbreiter Stern"}}},{"category":"Sm","key":"FF0B","mappings":{"default":{"default":"vollbreites Plus"}}},{"category":"Po","key":"FF0C","mappings":{"default":{"default":"vollbreites Komma"}}},{"category":"Pd","key":"FF0D","mappings":{"default":{"default":"vollbreites Minus"}}},{"category":"Po","key":"FF0E","mappings":{"default":{"default":"vollbreiter Punkt"}}},{"category":"Po","key":"FF0F","mappings":{"default":{"default":"Schrägstrich mit voller Breite"}}},{"category":"Po","key":"FF1A","mappings":{"default":{"default":"vollbreiter Doppelpunkt"}}},{"category":"Po","key":"FF1B","mappings":{"default":{"default":"vollbreites Semikolon"}}},{"category":"Sm","key":"FF1C","mappings":{"default":{"default":"Weniger als das gesamte Zeichen"}}},{"category":"Sm","key":"FF1D","mappings":{"default":{"default":"vollbreites Gleichspannungszeichen"}}},{"category":"Sm","key":"FF1E","mappings":{"default":{"default":"Fullwidth Mehr als Zeichen"}}},{"category":"Po","key":"FF1F","mappings":{"default":{"default":"vollbreites Fragezeichen"}}},{"category":"Po","key":"FF20","mappings":{"default":{"default":"Fullwidth Commercial at"}}},{"category":"Po","key":"FF3C","mappings":{"default":{"default":"Umgekehrter Schrägstrich mit voller Breite"}}},{"category":"Sk","key":"FF3E","mappings":{"default":{"default":"Circumflex-Akzent mit voller Breite"}}},{"category":"Pc","key":"FF3F","mappings":{"default":{"default":"vollbreites Low Line"}}},{"category":"Sk","key":"FF40","mappings":{"default":{"default":"vollbreiter Gravis Akzent"}}},{"category":"Sm","key":"FF5C","mappings":{"default":{"default":"vollbreites Vertikale Linie"}}},{"category":"Sm","key":"FF5E","mappings":{"default":{"default":"vollbreite Tilde"}}},{"category":"Sc","key":"FFE0","mappings":{"default":{"default":"vollbreites Cent-Zeichen"}}},{"category":"Sc","key":"FFE1","mappings":{"default":{"default":"vollbreites Pfundzeichen"}}},{"category":"Sm","key":"FFE2","mappings":{"default":{"default":"vollbreite nicht Symbol"}}},{"category":"Sk","key":"FFE3","mappings":{"default":{"default":"vollbreiter Überstrich","alternative":"vollbreites Makron"}}},{"category":"So","key":"FFE4","mappings":{"default":{"default":"vollbreite gestrichelte Linie"}}},{"category":"Sc","key":"FFE5","mappings":{"default":{"default":"vollbreites Yen-Zeichen"}}},{"category":"Sc","key":"FFE6","mappings":{"default":{"default":"vollbreites Won-Zeichen"}}},{"category":"So","key":"FFE8","mappings":{"default":{"default":"Halbbreite bildet leicht vertikal"}}},{"category":"So","key":"FFED","mappings":{"default":{"default":"Schwarzes Quadrat mit halber Breite"}}},{"category":"So","key":"FFEE","mappings":{"default":{"default":"Weißer Kreis mit halber Breite"}}}]
+,
+"de/symbols/math_whitespace.js": 
+[{"locale":"de"},{"category":"Zs","key":"0020","mappings":{"default":{"default":"Leerzeichen"}}},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"weicher Trennstrich"}},"category":"Cf"},{"category":"Zs","key":"2000","mappings":{"default":{"default":"En Quad"}}},{"category":"Zs","key":"2001","mappings":{"default":{"default":"Em Quad"}}},{"category":"Zs","key":"2002","mappings":{"default":{"default":"En Space"}}},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Zs","key":"2004","mappings":{"default":{"default":"Raum für drei Per-Em"}}},{"category":"Zs","key":"2005","mappings":{"default":{"default":"Raum für vier pro Em"}}},{"category":"Zs","key":"2006","mappings":{"default":{"default":"Six-Per-Em Space"}}},{"category":"Zs","key":"2007","mappings":{"default":{"default":"Raum darstellen"}}},{"category":"Zs","key":"2008","mappings":{"default":{"default":"Interpunktionsraum"}}},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"200C","mappings":{"default":{"default":"Nullbreite ohne Joiner"}}},{"category":"Cf","key":"200D","mappings":{"default":{"default":"Zero Width Joiner"}}},{"category":"Cf","key":"200E","mappings":{"default":{"default":"Markierung von links nach rechts"}}},{"category":"Cf","key":"200F","mappings":{"default":{"default":"Markierung von rechts nach links"}}},{"category":"Zl","key":"2028","mappings":{"default":{"default":"Trennzeichen"}}},{"category":"Zp","key":"2029","mappings":{"default":{"default":"Absatztrennzeichen"}}},{"category":"Cf","key":"202A","mappings":{"default":{"default":"Einbetten von links nach rechts"}}},{"category":"Cf","key":"202B","mappings":{"default":{"default":"Einbetten von rechts nach links"}}},{"category":"Cf","key":"202C","mappings":{"default":{"default":"Pop Richtungsformatierung"}}},{"category":"Cf","key":"202D","mappings":{"default":{"default":"Von links nach rechts überschreiben"}}},{"category":"Cf","key":"202E","mappings":{"default":{"default":"Von rechts nach links überschreiben"}}},{"category":"Zs","key":"202F","mappings":{"default":{"default":"Schmaler No-Break-Bereich"}}},{"key":"205F","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Cf","key":"2060","mappings":{"default":{"default":"Word Joiner"}}},{"key":"2061","mappings":{"default":{"default":"von"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":" "}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"2064","mappings":{"default":{"default":"Unsichtbares Plus"}}},{"category":"Cf","key":"206A","mappings":{"default":{"default":"Symmetrisches Austauschen verhindern"}}},{"category":"Cf","key":"206B","mappings":{"default":{"default":"Aktivieren Sie das symmetrische Austauschen"}}},{"category":"Cf","key":"206E","mappings":{"default":{"default":"Nationale Ziffernformen"}}},{"category":"Cf","key":"206F","mappings":{"default":{"default":"Nominale Ziffernformen"}}},{"category":"Cf","key":"FEFF","mappings":{"default":{"default":"Nullbreite Leerzeichen"}}},{"category":"Cf","key":"FFF9","mappings":{"default":{"default":"Interlinearer Anmerkungsanker"}}},{"category":"Cf","key":"FFFA","mappings":{"default":{"default":"Separator für interlineare Anmerkungen"}}},{"category":"Cf","key":"FFFB","mappings":{"default":{"default":"Interlinear Annotation Terminator"}}}]
+,
+"de/symbols/other_stars.js": 
+[{"locale":"de"},{"category":"So","key":"23E8","mappings":{"default":{"default":"Dezimalexponentensymbol"}}},{"category":"So","key":"2605","mappings":{"default":{"default":"Schwarzer Stern"}}},{"category":"So","key":"2606","mappings":{"default":{"default":"weißer Stern"}}},{"category":"So","key":"26AA","mappings":{"default":{"default":"Mittlerer weißer Kreis"}}},{"category":"So","key":"26AB","mappings":{"default":{"default":"Mittlerer schwarzer Kreis"}}},{"category":"So","key":"2705","mappings":{"default":{"default":"Weißes schweres Häkchen"}}},{"category":"So","key":"2713","mappings":{"default":{"default":"Häkchen"}}},{"category":"So","key":"2714","mappings":{"default":{"default":"Schweres Häkchen"}}},{"category":"So","key":"2715","mappings":{"default":{"default":"Multiplikation X"}}},{"category":"So","key":"2716","mappings":{"default":{"default":"Schwere Multiplikation X"}}},{"category":"So","key":"2717","mappings":{"default":{"default":"Stimmzettel X"}}},{"category":"So","key":"2718","mappings":{"default":{"default":"Schwerer Stimmzettel X"}}},{"category":"So","key":"271B","mappings":{"default":{"default":"Center Cross öffnen"}}},{"category":"So","key":"271C","mappings":{"default":{"default":"Schweres offenes Mittelkreuz"}}},{"category":"So","key":"2720","mappings":{"default":{"default":"Malteserkreuz"}}},{"category":"So","key":"2721","mappings":{"default":{"default":"Davidstern"}}},{"category":"So","key":"2722","mappings":{"default":{"default":"Vier Teardrop-Spoked Asterisk"}}},{"category":"So","key":"2723","mappings":{"default":{"default":"Vier Ballon-Speichen-Sternchen"}}},{"category":"So","key":"2724","mappings":{"default":{"default":"Schwere Vier-Ballon-Speichen-Sternchen"}}},{"category":"So","key":"2725","mappings":{"default":{"default":"Vier Club-Spoked Asterisk"}}},{"category":"So","key":"2726","mappings":{"default":{"default":"Schwarzer vierzackiger Stern"}}},{"category":"So","key":"2727","mappings":{"default":{"default":"Weißer vierzackiger Stern"}}},{"category":"So","key":"2728","mappings":{"default":{"default":"Funkelt"}}},{"category":"So","key":"2729","mappings":{"default":{"default":"Stress umrissener weißer Stern"}}},{"category":"So","key":"272A","mappings":{"default":{"default":"Eingekreister weißer Stern"}}},{"category":"So","key":"272B","mappings":{"default":{"default":"Open Center Black Star"}}},{"category":"So","key":"272C","mappings":{"default":{"default":"Schwarzer Center White Star"}}},{"category":"So","key":"272D","mappings":{"default":{"default":"Schwarzer Stern umrissen"}}},{"category":"So","key":"272E","mappings":{"default":{"default":"Schwerer umrissener schwarzer Stern"}}},{"category":"So","key":"272F","mappings":{"default":{"default":"Sternrad Stern"}}},{"category":"So","key":"2730","mappings":{"default":{"default":"Beschatteter weißer Stern"}}},{"category":"So","key":"2731","mappings":{"default":{"default":"Schwerer Stern"}}},{"category":"So","key":"2732","mappings":{"default":{"default":"Öffnen Sie Center Asterisk"}}},{"category":"So","key":"2733","mappings":{"default":{"default":"Acht Speichen-Sternchen"}}},{"category":"So","key":"2734","mappings":{"default":{"default":"Achtzackiger schwarzer Stern"}}},{"category":"So","key":"2735","mappings":{"default":{"default":"Achtzackiger Sternradstern"}}},{"category":"So","key":"2736","mappings":{"default":{"default":"Sechszackiger schwarzer Stern"}}},{"category":"So","key":"2739","mappings":{"default":{"default":"Zwölf schwarzer Stern"}}},{"category":"So","key":"273A","mappings":{"default":{"default":"Sechzehn Spitzen Sternchen"}}},{"category":"So","key":"273B","mappings":{"default":{"default":"Teardrop-Spoked Sternchen"}}},{"category":"So","key":"273C","mappings":{"default":{"default":"Open Center Teardrop-Spoked Sternchen"}}},{"category":"So","key":"273D","mappings":{"default":{"default":"Schwerer Tropfen-Speichen-Sternchen"}}},{"category":"So","key":"273E","mappings":{"default":{"default":"Sechs Petalled Schwarzweiss-Florette"}}},{"category":"So","key":"273F","mappings":{"default":{"default":"Schwarze Florette"}}},{"category":"So","key":"2740","mappings":{"default":{"default":"Weiße Florette"}}},{"category":"So","key":"2741","mappings":{"default":{"default":"Acht Petalled umrissene schwarze Florette"}}},{"category":"So","key":"2742","mappings":{"default":{"default":"Eingekreistes offenes Zentrum Achtstern"}}},{"category":"So","key":"2743","mappings":{"default":{"default":"Schweres, tropfenbesetztes Nadelrad-Sternchen"}}},{"category":"So","key":"2744","mappings":{"default":{"default":"Schneeflocke"}}},{"category":"So","key":"2745","mappings":{"default":{"default":"Feste Trifoliate-Schneeflocke"}}},{"category":"So","key":"2746","mappings":{"default":{"default":"Schwere Chevron-Schneeflocke"}}},{"category":"So","key":"2747","mappings":{"default":{"default":"Funkeln"}}},{"category":"So","key":"2748","mappings":{"default":{"default":"Schweres Funkeln"}}},{"category":"So","key":"2749","mappings":{"default":{"default":"Ballon-Speichen-Sternchen"}}},{"category":"So","key":"274A","mappings":{"default":{"default":"Acht Teardrop-Spoked Propeller Sternchen"}}},{"category":"So","key":"274B","mappings":{"default":{"default":"Schwere Acht Teardrop-Spoked Propeller Sternchen"}}},{"category":"So","key":"274C","mappings":{"default":{"default":"Cross Mark"}}},{"category":"So","key":"274D","mappings":{"default":{"default":"Beschatteter weißer Kreis"}}}]
+,
+"de/units/energy.js": 
+[{"locale":"de"},{"key":"W","mappings":{"default":{"default":"Watt"}},"category":"energy","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"Kilowatt"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"Milliwatt"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"Kilowattstunde"}},"key":"kwh","names":["kwh","kWh"]},{"key":"J","mappings":{"default":{"default":"Joule","plural":"Joules"}},"category":"energy","names":["J"]},{"key":"N","mappings":{"default":{"default":"Newton"}},"category":"energy","names":["N"]},{"key":"A","mappings":{"default":{"default":"Ampere"}},"category":"energy","names":["A"]},{"key":"V","mappings":{"default":{"default":"Volt"}},"category":"energy","names":["V"]},{"category":"energy","mappings":{"default":{"default":"Mikroohm"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"Milliohm"}},"key":"mΩ","names":["mΩ"]},{"key":"Ω","mappings":{"default":{"default":"Ohm"}},"category":"energy","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"Kiloohm"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"Megaohm"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"Gigaohm"}},"key":"GΩ","names":["GΩ"]}]
+,
+"de/units/length.js": 
+[{"locale":"de"},{"key":"mm","names":["mm"],"mappings":{"default":{"default":"Millimeter"}},"category":"length"},{"key":"cm","names":["cm"],"mappings":{"default":{"default":"Zentimeter"}},"category":"length"},{"key":"m","mappings":{"default":{"default":"Meter"}},"category":"length","names":["m"]},{"category":"length","mappings":{"default":{"default":"Kilometer"}},"key":"km","names":["km"]},{"key":"ft","mappings":{"default":{"default":"Fuß"}},"category":"length","names":["ft","ft."]},{"key":"in","mappings":{"default":{"default":"Zoll"}},"category":"length","names":["in","in."]},{"key":"mi","mappings":{"default":{"plural":"Meilen","default":"Meile"}},"category":"length","names":["mi","mi."]},{"key":"yd","mappings":{"default":{"plural":"Yards","default":"Yard"}},"category":"length","names":["yd","yd."]},{"key":"n.m.","names":["n.m."],"mappings":{"default":{"default":"nautische Meile"}},"category":"length"}]
+,
+"de/units/memory.js": 
+[{"locale":"de"},{"key":"b","mappings":{"default":{"plural":"Bits","default":"Bit"}},"category":"memory","names":["b"]},{"key":"B","mappings":{"default":{"plural":"Bytes","default":"Byte"}},"category":"memory","names":["B"]},{"key":"KB","mappings":{"default":{"plural":"Kilobytes","default":"Kilobyte"}},"category":"memory","names":["KB"]},{"key":"MB","mappings":{"default":{"plural":"Megabytes","default":"Megabyte"}},"category":"memory","names":["MB"]},{"key":"GB","mappings":{"default":{"plural":"Gigabytes","default":"Gigabyte"}},"category":"memory","names":["GB"]},{"key":"TB","mappings":{"default":{"plural":"Terabytes","default":"Terabyte"}},"category":"memory","names":["TB"]}]
+,
+"de/units/other.js": 
+[{"locale":"de"},{"key":"ha","mappings":{"default":{"default":"Hektar"}},"category":"other","names":["ha"]},{"category":"other","mappings":{"default":{"default":"Dutzend"}},"key":"doz","names":["doz","doz.","dz","dz."]}]
+,
+"de/units/speed.js": 
+[{"locale":"de"},{"category":"speed","mappings":{"default":{"default":"Knoten"}},"key":"kt","names":["kt","kt."]},{"key":"mph","mappings":{"default":{"default":"Meilen pro Stunde","singular":"Meile pro Stunde"}},"category":"speed","names":["mph"]},{"key":"kmh","mappings":{"default":{"default":"Kilometer pro Stunde"}},"category":"speed","names":["kmh"]},{"key":"rpm","mappings":{"default":{"default":"Umdrehungen pro Minute","singular":"Umdrehung pro Minute"}},"category":"speed","names":["rpm"]}]
+,
+"de/units/temperature.js": 
+[{"locale":"de"},{"key":"F","mappings":{"default":{"default":"Farad"}},"category":"temperature","names":["F","F.","°F"]},{"key":"C","mappings":{"default":{"default":"Celsius"}},"category":"temperature","names":["C","°C"]},{"key":"K","mappings":{"default":{"default":"Kelvin"}},"category":"temperature","names":["K","°K"]}]
+,
+"de/units/time.js": 
+[{"locale":"de"},{"category":"time","mappings":{"default":{"default":"Nanosekunde"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"Microsekunde"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"Millisekunde"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"Sekunde"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"Minute"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"Stunde"}},"key":"h","names":["h","hr"]}]
+,
+"de/units/volume.js": 
+[{"locale":"de"},{"category":"volume","mappings":{"default":{"default":"Kubik"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"Kubikinch"}},"key":"cu inch","names":["cu in","cu. in."]},{"category":"volume","mappings":{"default":{"default":"Kubikfuß"}},"key":"cu ft","names":["cu ft","cu. ft."]},{"category":"volume","mappings":{"default":{"default":"Kubikyard"}},"key":"cu yd","names":["cu yd","cu. yd."]},{"key":"bbl","mappings":{"default":{"default":"Fass"}},"category":"volume","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"Fluid ounce"}},"key":"fl. oz.","names":["fl. oz.","fl oz"]},{"key":"gal","mappings":{"default":{"plural":"Gallonen","default":"Gallone"}},"category":"volume","names":["gal","gal."]},{"key":"pt","mappings":{"default":{"default":"Pint"}},"category":"volume","names":["pt","pt."]},{"key":"qt","mappings":{"default":{"plural":"Quarts","default":"Quart"}},"category":"volume","names":["qt","qt."]},{"key":"tbsp","mappings":{"default":{"default":"Esslöffel"}},"category":"volume","names":["tbsp","tbsp.","Tbsp","Tbsp."]},{"key":"tsp","mappings":{"default":{"default":"Teelöffel"}},"category":"volume","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"Kubikzentimeter"}},"key":"cc","names":["cc","ccm"]},{"category":"volume","mappings":{"default":{"default":"Kiloliter"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"Liter"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"Milliliter"}},"key":"ml","names":["ml"]}]
+,
+"de/units/weight.js": 
+[{"locale":"de"},{"key":"lb","mappings":{"default":{"default":"Pfund"}},"category":"weight","names":["lb","lb."]},{"key":"oz","mappings":{"default":{"plural":"Unzen","default":"Unze"}},"category":"weight","names":["oz","oz."]},{"category":"weight","mappings":{"default":{"default":"Long ton"}},"key":"LT","names":["LT","L.T."]},{"key":"gr","mappings":{"default":{"default":"Gramm"}},"category":"weight","names":["g","gr"]},{"category":"weight","mappings":{"default":{"default":"Kilogramm"}},"key":"kg","names":["kg"]},{"category":"weight","mappings":{"default":{"default":"Mikrogramm"}},"key":"mcg","names":["mcg","µg"]},{"category":"weight","mappings":{"default":{"default":"Milligramm"}},"key":"mg","names":["mg"]},{"key":"t","mappings":{"default":{"plural":"Tonnen","default":"Tonne"}},"category":"weight","names":["t","T"]}]
+}
+
diff --git a/unpacked/extensions/a11y/mathmaps/en.js b/unpacked/extensions/a11y/mathmaps/en.js
new file mode 100644
index 0000000000..2cf742889b
--- /dev/null
+++ b/unpacked/extensions/a11y/mathmaps/en.js
@@ -0,0 +1,110 @@
+{
+"en/functions/algebra.js": 
+[{"locale":"en"},{"category":"Algebra","mappings":{"default":{"default":"degree"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"determinant"},"mathspeak":{"default":"det"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphism"},"mathspeak":{"default":"hom"},"clearspeak":{"default":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"kernel"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]
+,
+"en/functions/elementary.js": 
+[{"locale":"en"},{"category":"Logarithm","mappings":{"default":{"default":"log"}},"key":"log","names":["log"]},{"category":"Logarithm","mappings":{"default":{"default":"natural log"},"mathspeak":{"default":"ln"},"clearspeak":{"default":"l n","Log_LnAsNaturalLog":"natural log"}},"key":"ln","names":["ln"]},{"category":"Logarithm","mappings":{"default":{"default":"log base 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"exponential"},"mathspeak":{"default":"exp"},"clearspeak":{"default":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"greatest common divisor"},"mathspeak":{"default":"gcd"},"clearspeak":{"default":"gcd"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"least common multiple"},"mathspeak":{"default":"lcm"},"clearspeak":{"default":"lcm"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"argument"},"mathspeak":{"default":"arg"},"clearspeak":{"default":"arg"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"imaginary part"},"mathspeak":{"default":"im"},"clearspeak":{"default":"imaginary"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"real part"},"mathspeak":{"default":"re"},"clearspeak":{"default":"real"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"infimum"},"mathspeak":{"default":"inf"},"clearspeak":{"default":"inf"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"limit"},"mathspeak":{"default":"limit"},"clearspeak":{"default":"lim"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"limit inferior"},"mathspeak":{"default":"liminf"},"clearspeak":{"default":"liminf"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"limit superior"},"mathspeak":{"default":"limsup"},"clearspeak":{"default":"limsup"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"maximum"},"mathspeak":{"default":"max"},"clearspeak":{"default":"max"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"minimum"},"mathspeak":{"default":"min"},"clearspeak":{"default":"min"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"supremum"},"mathspeak":{"default":"sup"},"clearspeak":{"default":"sup"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"colimit"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projective limit"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"modulo"},"mathspeak":{"default":"mod"},"clearspeak":{"default":"mod"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"probability"}},"key":"Pr","names":["Pr"]}]
+,
+"en/functions/hyperbolic.js": 
+[{"locale":"en"},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosine"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cotangent"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosecant"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic secant"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic sine"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic tangent"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic cosine"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic cotangent"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic cosecant"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic secant"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic sine"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic tangent"}},"key":"artanh","names":["artanh","arctanh"]}]
+,
+"en/functions/trigonometry.js": 
+[{"locale":"en"},{"category":"Trigonometric","mappings":{"default":{"default":"cosine"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"cotangent"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"cosecant"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"secant"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"sine"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"tangent"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosine"},"clearspeak":{"Trig_TrigInverse":"cosine inverse"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cotangent"},"clearspeak":{"Trig_TrigInverse":"cotangent inverse"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosecant"},"clearspeak":{"Trig_TrigInverse":"cosecant inverse"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc secant"},"clearspeak":{"Trig_TrigInverse":"secant inverse"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc sine"},"clearspeak":{"Trig_TrigInverse":"sine inverse"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc tangent"},"clearspeak":{"Trig_TrigInverse":"tangent inverse"}},"key":"arctan","names":["arctan"]}]
+,
+"en/symbols/digits_rest.js": 
+[{"locale":"en"},{"category":"No","mappings":{"default":{"default":"squared"},"mathspeak":{"default":"squared"},"clearspeak":{"default":"squared"}},"key":"00B2"},{"category":"No","mappings":{"default":{"default":"cubed"},"mathspeak":{"default":"cubed"},"clearspeak":{"default":"cubed"}},"key":"00B3"},{"category":"No","mappings":{"default":{"default":"one quarter"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"one half"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"three quarters"}},"key":"00BE"},{"category":"No","mappings":{"default":{"default":"one seventh"}},"key":"2150"},{"category":"No","mappings":{"default":{"default":"one ninth"}},"key":"2151"},{"category":"No","mappings":{"default":{"default":"one tenth"}},"key":"2152"},{"category":"No","mappings":{"default":{"default":"one third"}},"key":"2153"},{"category":"No","mappings":{"default":{"default":"two thirds"}},"key":"2154"},{"category":"No","mappings":{"default":{"default":"one fifth"}},"key":"2155"},{"category":"No","mappings":{"default":{"default":"two fifths"}},"key":"2156"},{"category":"No","mappings":{"default":{"default":"three fifths"}},"key":"2157"},{"category":"No","mappings":{"default":{"default":"four fifths"}},"key":"2158"},{"category":"No","mappings":{"default":{"default":"one sixth"}},"key":"2159"},{"category":"No","mappings":{"default":{"default":"five sixths"}},"key":"215A"},{"category":"No","mappings":{"default":{"default":"one eighth"}},"key":"215B"},{"category":"No","mappings":{"default":{"default":"three eighths"}},"key":"215C"},{"category":"No","mappings":{"default":{"default":"five eighths"}},"key":"215D"},{"category":"No","mappings":{"default":{"default":"seven eighths"}},"key":"215E"},{"category":"No","mappings":{"default":{"default":"numerator one"}},"key":"215F"},{"category":"No","mappings":{"default":{"default":"zero thirds"}},"key":"2189"},{"category":"No","mappings":{"default":{"default":"circled ten on black square"}},"key":"3248"},{"category":"No","mappings":{"default":{"default":"circled twenty on black square"}},"key":"3249"},{"category":"No","mappings":{"default":{"default":"circled thirty on black square"}},"key":"324A"},{"category":"No","mappings":{"default":{"default":"circled forty on black square"}},"key":"324B"},{"category":"No","mappings":{"default":{"default":"circled fifty on black square"}},"key":"324C"},{"category":"No","mappings":{"default":{"default":"circled sixty on black square"}},"key":"324D"},{"category":"No","mappings":{"default":{"default":"circled seventy on black square"}},"key":"324E"},{"category":"No","mappings":{"default":{"default":"circled eighty on black square"}},"key":"324F"}]
+,
+"en/symbols/greek-rest.js": 
+[{"locale":"en"},{"category":"Lu","key":"0394","mappings":{"clearspeak":{"default":"triangle","TriangleSymbol_Delta":"cap Delta"}}}]
+,
+"en/symbols/greek-scripts.js": 
+[{"locale":"en"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"small cap Gamma"},"mathspeak":{"default":"small upper Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"small cap Lamda"},"mathspeak":{"default":"small upper Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"small cap Pi"},"mathspeak":{"default":"small upper Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"small cap Rho"},"mathspeak":{"default":"small upper Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"small cap Psi"},"mathspeak":{"default":"small upper Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"superscript gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"superscript phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"subscript beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"subscript gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"subscript rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"subscript phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"subscript chi"}}}]
+,
+"en/symbols/greek-symbols.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"beta"}},"key":"03D0"},{"category":"Ll","mappings":{"default":{"default":"kai"}},"key":"03D7"},{"category":"Sm","mappings":{"default":{"default":"reversed epsilon"}},"key":"03F6"},{"category":"Lu","mappings":{"default":{"default":"bold cap Digamma"},"mathspeak":{"default":"bold upper Digamma"}},"key":"1D7CA"},{"category":"Ll","mappings":{"default":{"default":"bold digamma"}},"key":"1D7CB"}]
+,
+"en/symbols/hebrew_letters.js": 
+[{"locale":"en"},{"category":"Lo","mappings":{"default":{"default":"first transfinite cardinal","alternative":"alef"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"second transfinite cardinal","alternative":"bet"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"third transfinite cardinal","alternative":"gimel"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"fourth transfinite cardinal","alternative":"dalet"}},"key":"2138"}]
+,
+"en/symbols/latin-lower-double-accent.js": 
+[{"locale":"en"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u double overdot overbar"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u double overdot acute"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u double overdot caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u double overdot grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a double overdot overbar"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a overdot overbar"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o ogonek overbar"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a ring above acute"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o double overdot overbar"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o tilde overbar"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o overdot overbar"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"c cedilla acute"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"e overbar grave"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"e overbar acute"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"e cedilla breve"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"i double overdot acute"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"l underdot overbar"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"o tilde acute"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"o tilde double overdot"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"o overbar grave"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"o overbar acute"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"r underdot overbar"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"s acute overdot"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"s caron overdot"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"s underdot overdot"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"u tilde acute"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"u overbar double overdot"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"a hat acute"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"a hat grave"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"a hat hook above"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"a hat tilde"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"a hat underdot"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"a breve acute"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"a breve grave"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"a breve hook above"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"a breve tilde"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"a breve underdot"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"e hat acute"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"e hat grave"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"e hat hook above"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"e hat tilde"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"e hat underdot"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"o hat acute"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"o hat grave"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"o hat hook above"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"o hat tilde"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"o hat underdot"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"o acute prime"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"o grave prime"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"o hook above prime"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"o tilde prime"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"o underdot prime"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"u acute prime"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"u grave prime"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"u hook above prime"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"u tilde prime"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"u underdot prime"}}}]
+,
+"en/symbols/latin-lower-phonetic.js": 
+[{"locale":"en"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"o with stroke"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"d with stroke"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"h with stroke"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"l with stroke"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"t with stroke"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b with stroke"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"lambda with stroke"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z with stroke"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"latin letter inverted glottal stop with stroke"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g with stroke"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o with stroke and acute"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c with stroke"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"e with stroke"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j with stroke"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"r with stroke"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y with stroke"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"dotless j with stroke"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i with stroke"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"dotless j with stroke and hook"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"latin letter glottal stop with stroke"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"latin letter reversed glottal stop with stroke"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"sideways o with stroke"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota with stroke"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p with stroke"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon with stroke"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"long s with diagonal stroke"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"long s with high stroke"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"turned delta"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"long s with dot above"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta"}}},{"category":"Ll","key":"0138","mappings":{"default":{"default":"kra"}}},{"category":"Ll","key":"017F","mappings":{"default":{"default":"long s"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b with topbar"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"tone six"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c with hook"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d with topbar"}}},{"category":"Ll","key":"0192","mappings":{"default":{"default":"f with hook"}}},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k with hook"}}},{"category":"Ll","key":"019A","mappings":{"default":{"default":"l with bar"}}},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n with long right leg"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o with horn"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p with hook"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"tone two"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"latin letter reversed esh loop"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t with palatal hook"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t with hook"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u with horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y with hook"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"ezh reversed"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ezh with tail"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"tone five"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"latin letter wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz with caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae with macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ezh with caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lezh"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"ezh with curl"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"dezh digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"turned e"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae with acute"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d with curl"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z with hook"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l with curl"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n with curl"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t with curl"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"db digraph"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"qp digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s with swash tail"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z with swash tail"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"glottal stop"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q with hook tail"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"turned a"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"turned alpha"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b with hook"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"open o"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c with curl"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d with tail"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d with hook"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"reversed e"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"schwa with hook"}}},{"category":"Ll","key":"025B","mappings":{"default":{"default":"open e"}}},{"category":"Ll","key":"025C","mappings":{"default":{"default":"reversed open e"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"reversed open e with hook"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"closed reversed open e"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g with hook"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"script g"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"rams horn"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"turned h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h with hook"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"heng with hook"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l with middle tilde"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l with belt"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"l with retroflex hook"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"turned m"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"turned m with long leg"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m with hook"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n with left hook"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n with retroflex hook"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"barred o"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"closed omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"turned r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"turned r with long leg"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"turned r with hook"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"r with long leg"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"r with tail"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"r with fishhook"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"reversed r with fishhook"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"s with hook"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"squat reversed esh"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"esh with curl"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"turned t"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"t with retroflex hook"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"u bar"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"v with hook"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"turned v"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"turned w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"turned y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"z with retroflex hook"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z with curl"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"latin letter pharyngeal voiced fricative"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"latin letter inverted glottal stop"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"latin letter stretched c"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"latin letter bilabial click"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"closed open e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"turned k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q with hook"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"dz digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"dz digraph with curl"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"ts digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"tesh digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"tc digraph with curl"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"feng digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"ls digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"lz digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"latin letter bilabial percussive"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"latin letter bidental percussive"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"turned h with fishhook"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"turned h with fishhook and tail"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"turned ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"turned open e"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"turned i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"sideways o"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"sideways open o"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"turned oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"top half o"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"bottom half o"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"sideways u"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"sideways diaeresized u"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"sideways turned m"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"latin letter voiced laryngeal spirant"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"latin letter ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"b with middle tilde"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"d with middle tilde"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"f with middle tilde"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"m with middle tilde"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"n with middle tilde"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"p with middle tilde"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"r with middle tilde"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"r with fishhook and middle tilde"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"s with middle tilde"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"t with middle tilde"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z with middle tilde"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"turned g"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"insular g"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th with strikethrough"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"b with palatal hook"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"d with palatal hook"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"f with palatal hook"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"g with palatal hook"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"k with palatal hook"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"l with palatal hook"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"m with palatal hook"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"n with palatal hook"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"p with palatal hook"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"r with palatal hook"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"s with palatal hook"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"esh with palatal hook"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"v with palatal hook"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"x with palatal hook"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"z with palatal hook"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a with retroflex hook"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"alpha with retroflex hook"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"d with hook and tail"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"e with retroflex hook"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"open e with retroflex hook"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"reversed open e with retroflex hook"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"schwa with retroflex hook"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"i with retroflex hook"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"open o with retroflex hook"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"esh with retroflex hook"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"u with retroflex hook"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"ezh with retroflex hook"}}},{"category":"Ll","key":"0149","mappings":{"default":{"default":"n preceded by apostrophe"}}},{"category":"Ll","key":"014B","mappings":{"default":{"default":"eng"}}}]
+,
+"en/symbols/latin-lower-single-accent.js": 
+[{"locale":"en"},{"category":"Ll","key":"00E0","mappings":{"default":{"default":"a grave"},"mathspeak":{"default":"modifying above a with grave","brief":"mod above a with grave","sbrief":"mod above a with grave"}}},{"category":"Ll","key":"00E1","mappings":{"default":{"default":"a acute"},"mathspeak":{"default":"modifying above a with acute","brief":"mod above a with acute","sbrief":"mod above a with acute"}}},{"category":"Ll","key":"00E2","mappings":{"default":{"default":"a hat"},"mathspeak":{"default":"modifying above a with caret","brief":"mod above a with caret","sbrief":"mod above a with caret"}}},{"category":"Ll","key":"00E3","mappings":{"default":{"default":"a tilde"},"mathspeak":{"default":"a overtilde","brief":"a overtilde","sbrief":"a overtilde"}}},{"category":"Ll","key":"00E4","mappings":{"default":{"default":"a double overdot"},"mathspeak":{"default":"modifying above a with double dot","brief":"mod above a with double dot","sbrief":"mod above a with double dot"}}},{"category":"Ll","key":"00E5","mappings":{"default":{"default":"a ring"},"mathspeak":{"default":"modifying above a with ring","brief":"mod above a with ring","sbrief":"mod above a with ring"}}},{"category":"Ll","key":"00E7","mappings":{"default":{"default":"c cedilla"},"mathspeak":{"default":"modifying above c with cedilla","brief":"mod above c with cedilla","sbrief":"mod above c with cedilla"}}},{"category":"Ll","key":"00E8","mappings":{"default":{"default":"e grave"},"mathspeak":{"default":"modifying above e with grave","brief":"mod above e with grave","sbrief":"mod above e with grave"}}},{"category":"Ll","key":"00E9","mappings":{"default":{"default":"e acute"},"mathspeak":{"default":"modifying above e with acute","brief":"mod above e with acute","sbrief":"mod above e with acute"}}},{"category":"Ll","key":"00EA","mappings":{"default":{"default":"e hat"},"mathspeak":{"default":"modifying above e with caret","brief":"mod above e with caret","sbrief":"mod above e with caret"}}},{"category":"Ll","key":"00EB","mappings":{"default":{"default":"e double overdot"},"mathspeak":{"default":"modifying above e with double dot","brief":"mod above e with double dot","sbrief":"mod above e with double dot"}}},{"category":"Ll","key":"00EC","mappings":{"default":{"default":"i grave"},"mathspeak":{"default":"modifying above i with grave","brief":"mod above i with grave","sbrief":"mod above i with grave"}}},{"category":"Ll","key":"00ED","mappings":{"default":{"default":"i acute"},"mathspeak":{"default":"modifying above i with acute","brief":"mod above i with acute","sbrief":"mod above i with acute"}}},{"category":"Ll","key":"00EE","mappings":{"default":{"default":"i hat"},"mathspeak":{"default":"modifying above i with caret","brief":"mod above i with caret","sbrief":"mod above i with caret"}}},{"category":"Ll","key":"00EF","mappings":{"default":{"default":"i double overdot"},"mathspeak":{"default":"modifying above i with double dot","brief":"mod above i with double dot","sbrief":"mod above i with double dot"}}},{"category":"Ll","key":"00F1","mappings":{"default":{"default":"n tilde"},"mathspeak":{"default":"n overtilde","brief":"n overtilde","sbrief":"n overtilde"}}},{"category":"Ll","key":"00F2","mappings":{"default":{"default":"o grave"},"mathspeak":{"default":"modifying above o with grave","brief":"mod above o with grave","sbrief":"mod above o with grave"}}},{"category":"Ll","key":"00F3","mappings":{"default":{"default":"o acute"},"mathspeak":{"default":"modifying above o with acute","brief":"mod above o with acute","sbrief":"mod above o with acute"}}},{"category":"Ll","key":"00F4","mappings":{"default":{"default":"o hat"},"mathspeak":{"default":"modifying above o with caret","brief":"mod above o with caret","sbrief":"mod above o with caret"}}},{"category":"Ll","key":"00F5","mappings":{"default":{"default":"o tilde"},"mathspeak":{"default":"o overtilde","brief":"o overtilde","sbrief":"o overtilde"}}},{"category":"Ll","key":"00F6","mappings":{"default":{"default":"o double overdot"},"mathspeak":{"default":"modifying above o with double dot","brief":"mod above o with double dot","sbrief":"mod above o with double dot"}}},{"category":"Ll","key":"00F9","mappings":{"default":{"default":"u grave"},"mathspeak":{"default":"modifying above u with grave","brief":"mod above u with grave","sbrief":"mod above u with grave"}}},{"category":"Ll","key":"00FA","mappings":{"default":{"default":"u acute"},"mathspeak":{"default":"modifying above u with acute","brief":"mod above u with acute","sbrief":"mod above u with acute"}}},{"category":"Ll","key":"00FB","mappings":{"default":{"default":"u hat"},"mathspeak":{"default":"modifying above u with caret","brief":"mod above u with caret","sbrief":"mod above u with caret"}}},{"category":"Ll","key":"00FC","mappings":{"default":{"default":"u double overdot"},"mathspeak":{"default":"modifying above u with double dot","brief":"mod above u with double dot","sbrief":"mod above u with double dot"}}},{"category":"Ll","key":"00FD","mappings":{"default":{"default":"y acute"},"mathspeak":{"default":"modifying above y with acute","brief":"mod above y with acute","sbrief":"mod above y with acute"}}},{"category":"Ll","key":"00FF","mappings":{"default":{"default":"y double overdot"},"mathspeak":{"default":"modifying above y with double dot","brief":"mod above y with double dot","sbrief":"mod above y with double dot"}}},{"category":"Ll","key":"0101","mappings":{"default":{"default":"a overbar"},"mathspeak":{"default":"a overbar","brief":"a overbar","sbrief":"a overbar"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"a breve"},"mathspeak":{"default":"modifying above a with breve","brief":"mod above a with breve","sbrief":"mod above a with breve"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"a ogonek"},"mathspeak":{"default":"modifying above a with ogonek","brief":"mod above a with ogonek","sbrief":"mod above a with ogonek"}}},{"category":"Ll","key":"0107","mappings":{"default":{"default":"c acute"},"mathspeak":{"default":"modifying above c with acute","brief":"mod above c with acute","sbrief":"mod above c with acute"}}},{"category":"Ll","key":"0109","mappings":{"default":{"default":"c hat"},"mathspeak":{"default":"modifying above c with caret","brief":"mod above c with caret","sbrief":"mod above c with caret"}}},{"category":"Ll","key":"010B","mappings":{"default":{"default":"c overdot"},"mathspeak":{"default":"modifying above c with dot","brief":"mod above c with dot","sbrief":"mod above c with dot"}}},{"category":"Ll","key":"010D","mappings":{"default":{"default":"c caron"},"mathspeak":{"default":"modifying above c with caron","brief":"mod above c with caron","sbrief":"mod above c with caron"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"d caron"},"mathspeak":{"default":"modifying above d with caron","brief":"mod above d with caron","sbrief":"mod above d with caron"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"e overbar"},"mathspeak":{"default":"e overbar","brief":"e overbar","sbrief":"e overbar"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e breve"},"mathspeak":{"default":"modifying above e with breve","brief":"mod above e with breve","sbrief":"mod above e with breve"}}},{"category":"Ll","key":"0117","mappings":{"default":{"default":"e overdot"},"mathspeak":{"default":"modifying above e with dot","brief":"mod above e with dot","sbrief":"mod above e with dot"}}},{"category":"Ll","key":"0119","mappings":{"default":{"default":"e ogonek"},"mathspeak":{"default":"modifying above e with ogonek","brief":"mod above e with ogonek","sbrief":"mod above e with ogonek"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"e caron"},"mathspeak":{"default":"modifying above e with caron","brief":"mod above e with caron","sbrief":"mod above e with caron"}}},{"category":"Ll","key":"011D","mappings":{"default":{"default":"g hat"},"mathspeak":{"default":"modifying above g with caret","brief":"mod above g with caret","sbrief":"mod above g with caret"}}},{"category":"Ll","key":"011F","mappings":{"default":{"default":"g breve"},"mathspeak":{"default":"modifying above g with breve","brief":"mod above g with breve","sbrief":"mod above g with breve"}}},{"category":"Ll","key":"0121","mappings":{"default":{"default":"g overdot"},"mathspeak":{"default":"modifying above g with dot","brief":"mod above g with dot","sbrief":"mod above g with dot"}}},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g cedilla"},"mathspeak":{"default":"modifying above g with cedilla","brief":"mod above g with cedilla","sbrief":"mod above g with cedilla"}}},{"category":"Ll","key":"0125","mappings":{"default":{"default":"h hat"},"mathspeak":{"default":"modifying above h with caret","brief":"mod above h with caret","sbrief":"mod above h with caret"}}},{"category":"Ll","key":"0129","mappings":{"default":{"default":"i tilde"},"mathspeak":{"default":"i overtilde","brief":"i overtilde","sbrief":"i overtilde"}}},{"category":"Ll","key":"012B","mappings":{"default":{"default":"i overbar"},"mathspeak":{"default":"i overbar","brief":"i overbar","sbrief":"i overbar"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i breve"},"mathspeak":{"default":"modifying above i with breve","brief":"mod above i with breve","sbrief":"mod above i with breve"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"i ogonek"},"mathspeak":{"default":"modifying above i with ogonek","brief":"mod above i with ogonek","sbrief":"mod above i with ogonek"}}},{"category":"Ll","key":"0131","mappings":{"default":{"default":"dotless i"},"mathspeak":{"default":"modifying above dotless i","brief":"mod above dotless i","sbrief":"mod above dotless i"}}},{"category":"Ll","key":"0135","mappings":{"default":{"default":"j hat"},"mathspeak":{"default":"modifying above j with caret","brief":"mod above j with caret","sbrief":"mod above j with caret"}}},{"category":"Ll","key":"0137","mappings":{"default":{"default":"k cedilla"},"mathspeak":{"default":"modifying above k with cedilla","brief":"mod above k with cedilla","sbrief":"mod above k with cedilla"}}},{"category":"Ll","key":"013A","mappings":{"default":{"default":"l acute"},"mathspeak":{"default":"modifying above l with acute","brief":"mod above l with acute","sbrief":"mod above l with acute"}}},{"category":"Ll","key":"013C","mappings":{"default":{"default":"l cedilla"},"mathspeak":{"default":"modifying above l with cedilla","brief":"mod above l with cedilla","sbrief":"mod above l with cedilla"}}},{"category":"Ll","key":"013E","mappings":{"default":{"default":"l caron"},"mathspeak":{"default":"modifying above l with caron","brief":"mod above l with caron","sbrief":"mod above l with caron"}}},{"category":"Ll","key":"0140","mappings":{"default":{"default":"l middle dot"},"mathspeak":{"default":"modifying above l with middle dot","brief":"mod above l with middle dot","sbrief":"mod above l with middle dot"}}},{"category":"Ll","key":"0144","mappings":{"default":{"default":"n acute"},"mathspeak":{"default":"modifying above n with acute","brief":"mod above n with acute","sbrief":"mod above n with acute"}}},{"category":"Ll","key":"0146","mappings":{"default":{"default":"n cedilla"},"mathspeak":{"default":"modifying above n with cedilla","brief":"mod above n with cedilla","sbrief":"mod above n with cedilla"}}},{"category":"Ll","key":"0148","mappings":{"default":{"default":"n caron"},"mathspeak":{"default":"modifying above n with caron","brief":"mod above n with caron","sbrief":"mod above n with caron"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"o overbar"},"mathspeak":{"default":"o overbar","brief":"o overbar","sbrief":"o overbar"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o breve"},"mathspeak":{"default":"modifying above o with breve","brief":"mod above o with breve","sbrief":"mod above o with breve"}}},{"category":"Ll","key":"0151","mappings":{"default":{"default":"o double acute"},"mathspeak":{"default":"modifying above o with double acute","brief":"mod above o with double acute","sbrief":"mod above o with double acute"}}},{"category":"Ll","key":"0155","mappings":{"default":{"default":"r acute"},"mathspeak":{"default":"modifying above r with acute","brief":"mod above r with acute","sbrief":"mod above r with acute"}}},{"category":"Ll","key":"0157","mappings":{"default":{"default":"r cedilla"},"mathspeak":{"default":"modifying above r with cedilla","brief":"mod above r with cedilla","sbrief":"mod above r with cedilla"}}},{"category":"Ll","key":"0159","mappings":{"default":{"default":"r caron"},"mathspeak":{"default":"modifying above r with caron","brief":"mod above r with caron","sbrief":"mod above r with caron"}}},{"category":"Ll","key":"015B","mappings":{"default":{"default":"s acute"},"mathspeak":{"default":"modifying above s with acute","brief":"mod above s with acute","sbrief":"mod above s with acute"}}},{"category":"Ll","key":"015D","mappings":{"default":{"default":"s hat"},"mathspeak":{"default":"modifying above s with caret","brief":"mod above s with caret","sbrief":"mod above s with caret"}}},{"category":"Ll","key":"015F","mappings":{"default":{"default":"s cedilla"},"mathspeak":{"default":"modifying above s with cedilla","brief":"mod above s with cedilla","sbrief":"mod above s with cedilla"}}},{"category":"Ll","key":"0161","mappings":{"default":{"default":"s caron"},"mathspeak":{"default":"modifying above s with caron","brief":"mod above s with caron","sbrief":"mod above s with caron"}}},{"category":"Ll","key":"0163","mappings":{"default":{"default":"t cedilla"},"mathspeak":{"default":"modifying above t with cedilla","brief":"mod above t with cedilla","sbrief":"mod above t with cedilla"}}},{"category":"Ll","key":"0165","mappings":{"default":{"default":"t caron"},"mathspeak":{"default":"modifying above t with caron","brief":"mod above t with caron","sbrief":"mod above t with caron"}}},{"category":"Ll","key":"0169","mappings":{"default":{"default":"u tilde"},"mathspeak":{"default":"u overtilde","brief":"u overtilde","sbrief":"u overtilde"}}},{"category":"Ll","key":"016B","mappings":{"default":{"default":"u overbar"},"mathspeak":{"default":"u overbar","brief":"u overbar","sbrief":"u overbar"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"u breve"},"mathspeak":{"default":"modifying above u with breve","brief":"mod above u with breve","sbrief":"mod above u with breve"}}},{"category":"Ll","key":"016F","mappings":{"default":{"default":"u ring"},"mathspeak":{"default":"modifying above u with ring","brief":"mod above u with ring","sbrief":"mod above u with ring"}}},{"category":"Ll","key":"0171","mappings":{"default":{"default":"u double acute"},"mathspeak":{"default":"modifying above u with double acute","brief":"mod above u with double acute","sbrief":"mod above u with double acute"}}},{"category":"Ll","key":"0173","mappings":{"default":{"default":"u ogonek"},"mathspeak":{"default":"modifying above u with ogonek","brief":"mod above u with ogonek","sbrief":"mod above u with ogonek"}}},{"category":"Ll","key":"0175","mappings":{"default":{"default":"w hat"},"mathspeak":{"default":"modifying above w with caret","brief":"mod above w with caret","sbrief":"mod above w with caret"}}},{"category":"Ll","key":"0177","mappings":{"default":{"default":"y hat"},"mathspeak":{"default":"modifying above y with caret","brief":"mod above y with caret","sbrief":"mod above y with caret"}}},{"category":"Ll","key":"017A","mappings":{"default":{"default":"z acute"},"mathspeak":{"default":"modifying above z with acute","brief":"mod above z with acute","sbrief":"mod above z with acute"}}},{"category":"Ll","key":"017C","mappings":{"default":{"default":"z overdot"},"mathspeak":{"default":"modifying above z with dot","brief":"mod above z with dot","sbrief":"mod above z with dot"}}},{"category":"Ll","key":"017E","mappings":{"default":{"default":"z caron"},"mathspeak":{"default":"modifying above z with caron","brief":"mod above z with caron","sbrief":"mod above z with caron"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a caron"},"mathspeak":{"default":"modifying above a with caron","brief":"mod above a with caron","sbrief":"mod above a with caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i caron"},"mathspeak":{"default":"modifying above i with caron","brief":"mod above i with caron","sbrief":"mod above i with caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o caron"},"mathspeak":{"default":"modifying above o with caron","brief":"mod above o with caron","sbrief":"mod above o with caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u caron"},"mathspeak":{"default":"modifying above u with caron","brief":"mod above u with caron","sbrief":"mod above u with caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g caron"},"mathspeak":{"default":"modifying above g with caron","brief":"mod above g with caron","sbrief":"mod above g with caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k caron"},"mathspeak":{"default":"modifying above k with caron","brief":"mod above k with caron","sbrief":"mod above k with caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o ogonek"},"mathspeak":{"default":"modifying above o with ogonek","brief":"mod above o with ogonek","sbrief":"mod above o with ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j caron"},"mathspeak":{"default":"modifying above j with caron","brief":"mod above j with caron","sbrief":"mod above j with caron"}}},{"category":"Ll","key":"01F5","mappings":{"default":{"default":"g acute"},"mathspeak":{"default":"modifying above g with acute","brief":"mod above g with acute","sbrief":"mod above g with acute"}}},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n grave"},"mathspeak":{"default":"modifying above n with grave","brief":"mod above n with grave","sbrief":"mod above n with grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a double grave"},"mathspeak":{"default":"modifying above a with double grave","brief":"mod above a with double grave","sbrief":"mod above a with double grave"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a inverted breve"},"mathspeak":{"default":"modifying above a with inverted breve","brief":"mod above a with inverted breve","sbrief":"mod above a with inverted breve"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e double grave"},"mathspeak":{"default":"modifying above e with double grave","brief":"mod above e with double grave","sbrief":"mod above e with double grave"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e inverted breve"},"mathspeak":{"default":"modifying above e with inverted breve","brief":"mod above e with inverted breve","sbrief":"mod above e with inverted breve"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i double grave"},"mathspeak":{"default":"modifying above i with double grave","brief":"mod above i with double grave","sbrief":"mod above i with double grave"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i inverted breve"},"mathspeak":{"default":"modifying above i with inverted breve","brief":"mod above i with inverted breve","sbrief":"mod above i with inverted breve"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o double grave"},"mathspeak":{"default":"modifying above o with double grave","brief":"mod above o with double grave","sbrief":"mod above o with double grave"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o inverted breve"},"mathspeak":{"default":"modifying above o with inverted breve","brief":"mod above o with inverted breve","sbrief":"mod above o with inverted breve"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r double grave"},"mathspeak":{"default":"modifying above r with double grave","brief":"mod above r with double grave","sbrief":"mod above r with double grave"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r inverted breve"},"mathspeak":{"default":"modifying above r with inverted breve","brief":"mod above r with inverted breve","sbrief":"mod above r with inverted breve"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u double grave"},"mathspeak":{"default":"modifying above u with double grave","brief":"mod above u with double grave","sbrief":"mod above u with double grave"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u inverted breve"},"mathspeak":{"default":"modifying above u with inverted breve","brief":"mod above u with inverted breve","sbrief":"mod above u with inverted breve"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s comma below"},"mathspeak":{"default":"modifying below s with comma below","brief":"mod below s with comma below","sbrief":"mod below s with comma below"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t comma below"},"mathspeak":{"default":"modifying below t with comma below","brief":"mod below t with comma below","sbrief":"mod below t with comma below"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h caron"},"mathspeak":{"default":"modifying above h with caron","brief":"mod above h with caron","sbrief":"mod above h with caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"a overdot"},"mathspeak":{"default":"modifying above a with dot","brief":"mod above a with dot","sbrief":"mod above a with dot"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e cedilla"},"mathspeak":{"default":"modifying above e with cedilla","brief":"mod above e with cedilla","sbrief":"mod above e with cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o overdot"},"mathspeak":{"default":"modifying above o with dot","brief":"mod above o with dot","sbrief":"mod above o with dot"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y overbar"},"mathspeak":{"default":"y overbar","brief":"y overbar","sbrief":"y overbar"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"dotless j"},"mathspeak":{"default":"modifying above dotless j","brief":"mod above dotless j","sbrief":"mod above dotless j"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"a ring below"},"mathspeak":{"default":"modifying below a with ring below","brief":"mod below a with ring below","sbrief":"mod below a with ring below"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"b overdot"},"mathspeak":{"default":"modifying above b with dot","brief":"mod above b with dot","sbrief":"mod above b with dot"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"b underdot"},"mathspeak":{"default":"modifying below b with dot","brief":"mod below b with dot","sbrief":"mod below b with dot"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"b underbar"},"mathspeak":{"default":"b underbar","brief":"b underbar","sbrief":"b underbar"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"d overdot"},"mathspeak":{"default":"modifying above d with dot","brief":"mod above d with dot","sbrief":"mod above d with dot"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"d underdot"},"mathspeak":{"default":"modifying below d with dot","brief":"mod below d with dot","sbrief":"mod below d with dot"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"d underbar"},"mathspeak":{"default":"d underbar","brief":"d underbar","sbrief":"d underbar"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"d cedilla"},"mathspeak":{"default":"modifying above d with cedilla","brief":"mod above d with cedilla","sbrief":"mod above d with cedilla"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"d underhat"},"mathspeak":{"default":"modifying below d with caret","brief":"mod below d with caret","sbrief":"mod below d with caret"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"e underhat"},"mathspeak":{"default":"modifying below e with caret","brief":"mod below e with caret","sbrief":"mod below e with caret"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"e tilde below"},"mathspeak":{"default":"e undertilde","brief":"e undertilde","sbrief":"e undertilde"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"f overdot"},"mathspeak":{"default":"modifying above f with dot","brief":"mod above f with dot","sbrief":"mod above f with dot"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"g overbar"},"mathspeak":{"default":"g overbar","brief":"g overbar","sbrief":"g overbar"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"h overdot"},"mathspeak":{"default":"modifying above h with dot","brief":"mod above h with dot","sbrief":"mod above h with dot"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"h underdot"},"mathspeak":{"default":"modifying below h with dot","brief":"mod below h with dot","sbrief":"mod below h with dot"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"h double overdot"},"mathspeak":{"default":"modifying above h with double dot","brief":"mod above h with double dot","sbrief":"mod above h with double dot"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"h cedilla"},"mathspeak":{"default":"modifying above h with cedilla","brief":"mod above h with cedilla","sbrief":"mod above h with cedilla"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"h breve below"},"mathspeak":{"default":"modifying below h with breve below","brief":"mod below h with breve below","sbrief":"mod below h with breve below"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"i tilde below"},"mathspeak":{"default":"i undertilde","brief":"i undertilde","sbrief":"i undertilde"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"k acute"},"mathspeak":{"default":"modifying above k with acute","brief":"mod above k with acute","sbrief":"mod above k with acute"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"k underdot"},"mathspeak":{"default":"modifying below k with dot","brief":"mod below k with dot","sbrief":"mod below k with dot"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"k underbar"},"mathspeak":{"default":"k underbar","brief":"k underbar","sbrief":"k underbar"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"l underdot"},"mathspeak":{"default":"modifying below l with dot","brief":"mod below l with dot","sbrief":"mod below l with dot"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"l underbar"},"mathspeak":{"default":"l underbar","brief":"l underbar","sbrief":"l underbar"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"l underhat"},"mathspeak":{"default":"modifying below l with caret","brief":"mod below l with caret","sbrief":"mod below l with caret"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"m acute"},"mathspeak":{"default":"modifying above m with acute","brief":"mod above m with acute","sbrief":"mod above m with acute"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"m overdot"},"mathspeak":{"default":"modifying above m with dot","brief":"mod above m with dot","sbrief":"mod above m with dot"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"m underdot"},"mathspeak":{"default":"modifying below m with dot","brief":"mod below m with dot","sbrief":"mod below m with dot"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"n overdot"},"mathspeak":{"default":"modifying above n with dot","brief":"mod above n with dot","sbrief":"mod above n with dot"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"n underdot"},"mathspeak":{"default":"modifying below n with dot","brief":"mod below n with dot","sbrief":"mod below n with dot"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"n underbar"},"mathspeak":{"default":"n underbar","brief":"n underbar","sbrief":"n underbar"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"n underhat"},"mathspeak":{"default":"modifying below n with caret","brief":"mod below n with caret","sbrief":"mod below n with caret"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"p acute"},"mathspeak":{"default":"modifying above p with acute","brief":"mod above p with acute","sbrief":"mod above p with acute"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"p overdot"},"mathspeak":{"default":"modifying above p with dot","brief":"mod above p with dot","sbrief":"mod above p with dot"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"r overdot"},"mathspeak":{"default":"modifying above r with dot","brief":"mod above r with dot","sbrief":"mod above r with dot"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"r underdot"},"mathspeak":{"default":"modifying below r with dot","brief":"mod below r with dot","sbrief":"mod below r with dot"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"r underbar"},"mathspeak":{"default":"r underbar","brief":"r underbar","sbrief":"r underbar"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"s overdot"},"mathspeak":{"default":"modifying above s with dot","brief":"mod above s with dot","sbrief":"mod above s with dot"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"s underdot"},"mathspeak":{"default":"modifying below s with dot","brief":"mod below s with dot","sbrief":"mod below s with dot"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"t overdot"},"mathspeak":{"default":"modifying above t with dot","brief":"mod above t with dot","sbrief":"mod above t with dot"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"t underdot"},"mathspeak":{"default":"modifying below t with dot","brief":"mod below t with dot","sbrief":"mod below t with dot"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"t underbar"},"mathspeak":{"default":"t underbar","brief":"t underbar","sbrief":"t underbar"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"t underhat"},"mathspeak":{"default":"modifying below t with caret","brief":"mod below t with caret","sbrief":"mod below t with caret"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"u double underdot"},"mathspeak":{"default":"modifying below u with double dot","brief":"mod below u with double dot","sbrief":"mod below u with double dot"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"u tilde below"},"mathspeak":{"default":"u undertilde","brief":"u undertilde","sbrief":"u undertilde"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"u underhat"},"mathspeak":{"default":"modifying below u with caret","brief":"mod below u with caret","sbrief":"mod below u with caret"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"v tilde"},"mathspeak":{"default":"v overtilde","brief":"v overtilde","sbrief":"v overtilde"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"v underdot"},"mathspeak":{"default":"modifying below v with dot","brief":"mod below v with dot","sbrief":"mod below v with dot"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"w grave"},"mathspeak":{"default":"modifying above w with grave","brief":"mod above w with grave","sbrief":"mod above w with grave"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"w acute"},"mathspeak":{"default":"modifying above w with acute","brief":"mod above w with acute","sbrief":"mod above w with acute"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"w double overdot"},"mathspeak":{"default":"modifying above w with double dot","brief":"mod above w with double dot","sbrief":"mod above w with double dot"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"w overdot"},"mathspeak":{"default":"modifying above w with dot","brief":"mod above w with dot","sbrief":"mod above w with dot"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"w underdot"},"mathspeak":{"default":"modifying below w with dot","brief":"mod below w with dot","sbrief":"mod below w with dot"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"x overdot"},"mathspeak":{"default":"modifying above x with dot","brief":"mod above x with dot","sbrief":"mod above x with dot"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"x double overdot"},"mathspeak":{"default":"modifying above x with double dot","brief":"mod above x with double dot","sbrief":"mod above x with double dot"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"y overdot"},"mathspeak":{"default":"modifying above y with dot","brief":"mod above y with dot","sbrief":"mod above y with dot"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"z hat"},"mathspeak":{"default":"modifying above z with caret","brief":"mod above z with caret","sbrief":"mod above z with caret"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"z underdot"},"mathspeak":{"default":"modifying below z with dot","brief":"mod below z with dot","sbrief":"mod below z with dot"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"z underbar"},"mathspeak":{"default":"z underbar","brief":"z underbar","sbrief":"z underbar"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"h underbar"},"mathspeak":{"default":"h underbar","brief":"h underbar","sbrief":"h underbar"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"t double overdot"},"mathspeak":{"default":"modifying above t with double dot","brief":"mod above t with double dot","sbrief":"mod above t with double dot"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"w ring"},"mathspeak":{"default":"modifying above w with ring","brief":"mod above w with ring","sbrief":"mod above w with ring"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"y ring"},"mathspeak":{"default":"modifying above y with ring","brief":"mod above y with ring","sbrief":"mod above y with ring"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"a right half ring"},"mathspeak":{"default":"modifying above a with right half ring","brief":"mod above a with right half ring","sbrief":"mod above a with right half ring"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"a underdot"},"mathspeak":{"default":"modifying below a with dot","brief":"mod below a with dot","sbrief":"mod below a with dot"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"a hook"},"mathspeak":{"default":"modifying above a with hook","brief":"mod above a with hook","sbrief":"mod above a with hook"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"e underdot"},"mathspeak":{"default":"modifying below e with dot","brief":"mod below e with dot","sbrief":"mod below e with dot"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"e hook"},"mathspeak":{"default":"modifying above e with hook","brief":"mod above e with hook","sbrief":"mod above e with hook"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"e tilde"},"mathspeak":{"default":"e overtilde","brief":"e overtilde","sbrief":"e overtilde"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"i hook"},"mathspeak":{"default":"modifying above i with hook","brief":"mod above i with hook","sbrief":"mod above i with hook"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"i underdot"},"mathspeak":{"default":"modifying below i with dot","brief":"mod below i with dot","sbrief":"mod below i with dot"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"o underdot"},"mathspeak":{"default":"modifying below o with dot","brief":"mod below o with dot","sbrief":"mod below o with dot"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"o hook"},"mathspeak":{"default":"modifying above o with hook","brief":"mod above o with hook","sbrief":"mod above o with hook"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"u underdot"},"mathspeak":{"default":"modifying below u with dot","brief":"mod below u with dot","sbrief":"mod below u with dot"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"u hook"},"mathspeak":{"default":"modifying above u with hook","brief":"mod above u with hook","sbrief":"mod above u with hook"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"y grave"},"mathspeak":{"default":"modifying above y with grave","brief":"mod above y with grave","sbrief":"mod above y with grave"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"y underdot"},"mathspeak":{"default":"modifying below y with dot","brief":"mod below y with dot","sbrief":"mod below y with dot"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"y hook"},"mathspeak":{"default":"modifying above y with hook","brief":"mod above y with hook","sbrief":"mod above y with hook"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"y tilde"},"mathspeak":{"default":"y overtilde","brief":"y overtilde","sbrief":"y overtilde"}}}]
+,
+"en/symbols/latin-rest.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"italic h","physics":"planck constant"}},"key":"210E"},{"category":"Mn","key":"0363","mappings":{"default":{"default":"combining a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"combining e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"combining i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"combining o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"combining u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"combining c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"combining d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"combining h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"combining m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"combining r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"combining t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"combining v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"combining x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"subscript i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"subscript r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"subscript u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"subscript v"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"combining r below"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"combining flattened open a above"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"combining ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"combining ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"combining av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"combining c cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"combining insular d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"combining eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"combining g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"combining small cap G"},"mathspeak":{"default":"combining small upper G"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"combining k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"combining l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"combining small cap L"},"mathspeak":{"default":"combining small upper L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"combining small cap M"},"mathspeak":{"default":"combining small upper M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"combining n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"combining small cap N"},"mathspeak":{"default":"combining small upper N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"combining small cap R"},"mathspeak":{"default":"combining small upper R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"combining r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"combining s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"combining long s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"combining z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"superscript i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"superscript n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"subscript a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"subscript e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"subscript o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"subscript x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"subscript schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"subscript h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"subscript k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"subscript l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"subscript m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"subscript n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"subscript p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"subscript s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"subscript t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"subscript j"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"tortoise shell bracketed cap S"},"mathspeak":{"default":"tortoise shell bracketed upper S"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"circled italic cap C"},"mathspeak":{"default":"circled italic upper C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"circled italic cap R"},"mathspeak":{"default":"circled italic upper R"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"crossed negative squared cap P"},"mathspeak":{"default":"crossed negative squared upper P"}}}]
+,
+"en/symbols/latin-upper-double-accent.js": 
+[{"locale":"en"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"cap U double overdot overbar"},"mathspeak":{"default":"upper U double overdot overbar"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"cap U double overdot acute"},"mathspeak":{"default":"upper U double overdot acute"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"cap U double overdot caron"},"mathspeak":{"default":"upper U double overdot caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"cap U double overdot grave"},"mathspeak":{"default":"upper U double overdot grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"cap A double overdot overbar"},"mathspeak":{"default":"upper A double overdot overbar"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"cap A overdot overbar"},"mathspeak":{"default":"upper A overdot overbar"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"cap O ogonek overbar"},"mathspeak":{"default":"upper O ogonek overbar"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"cap A ring acute"},"mathspeak":{"default":"upper A ring acute"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"cap O double overdot overbar"},"mathspeak":{"default":"upper O double overdot overbar"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"cap O tilde overbar"},"mathspeak":{"default":"upper O tilde overbar"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"cap O overdot overbar"},"mathspeak":{"default":"upper O overdot overbar"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"cap C cedilla acute"},"mathspeak":{"default":"upper C cedilla acute"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"cap E overbar grave"},"mathspeak":{"default":"upper E overbar grave"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"cap E overbar acute"},"mathspeak":{"default":"upper E overbar acute"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"cap E cedilla breve"},"mathspeak":{"default":"upper E cedilla breve"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"cap I double overdot acute"},"mathspeak":{"default":"upper I double overdot acute"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"cap L underdot overbar"},"mathspeak":{"default":"upper L underdot overbar"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"cap O tilde acute"},"mathspeak":{"default":"upper O tilde acute"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"cap O tilde double overdot"},"mathspeak":{"default":"upper O tilde double overdot"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"cap O overbar grave"},"mathspeak":{"default":"upper O overbar grave"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"cap O overbar acute"},"mathspeak":{"default":"upper O overbar acute"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"cap R overbar underdot"},"mathspeak":{"default":"upper R overbar underdot"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"cap S acute overdot"},"mathspeak":{"default":"upper S acute overdot"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"cap S caron overdot"},"mathspeak":{"default":"upper S caron overdot"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"cap S underdot overdot"},"mathspeak":{"default":"upper S underdot overdot"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"cap U tilde acute"},"mathspeak":{"default":"upper U tilde acute"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"cap U overbar double overdot"},"mathspeak":{"default":"upper U overbar double overdot"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"cap A hat acute"},"mathspeak":{"default":"upper A hat acute"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"cap A hat grave"},"mathspeak":{"default":"upper A hat grave"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"cap A hat hook"},"mathspeak":{"default":"upper A hat hook"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"cap A hat tilde"},"mathspeak":{"default":"upper A hat tilde"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"cap A hat underdot"},"mathspeak":{"default":"upper A hat underdot"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"cap A breve acute"},"mathspeak":{"default":"upper A breve acute"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"cap A breve grave"},"mathspeak":{"default":"upper A breve grave"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"cap A breve hook"},"mathspeak":{"default":"upper A breve hook"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"cap A breve tilde"},"mathspeak":{"default":"upper A breve tilde"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"cap A breve underdot"},"mathspeak":{"default":"upper A breve underdot"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"cap E hat acute"},"mathspeak":{"default":"upper E hat acute"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"cap E hat grave"},"mathspeak":{"default":"upper E hat grave"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"cap E hat hook"},"mathspeak":{"default":"upper E hat hook"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"cap E hat tilde"},"mathspeak":{"default":"upper E hat tilde"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"cap E hat underdot"},"mathspeak":{"default":"upper E hat underdot"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"cap O hat acute"},"mathspeak":{"default":"upper O hat acute"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"cap O hat grave"},"mathspeak":{"default":"upper O hat grave"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"cap O hat hook"},"mathspeak":{"default":"upper O hat hook"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"cap O hat tilde"},"mathspeak":{"default":"upper O hat tilde"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"cap O hat underdot"},"mathspeak":{"default":"upper O hat underdot"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"cap O acute prime"},"mathspeak":{"default":"upper O acute prime"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"cap O grave prime"},"mathspeak":{"default":"upper O grave prime"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"cap O hook prime"},"mathspeak":{"default":"upper O hook prime"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"cap O tilde prime"},"mathspeak":{"default":"upper O tilde prime"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"cap O underdot prime"},"mathspeak":{"default":"upper O underdot prime"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"cap U acute prime"},"mathspeak":{"default":"upper U acute prime"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"cap U grave prime"},"mathspeak":{"default":"upper U grave prime"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"cap U hook prime"},"mathspeak":{"default":"upper U hook prime"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"cap U tilde prime"},"mathspeak":{"default":"upper U tilde prime"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"cap U underdot prime"},"mathspeak":{"default":"upper U underdot prime"}}}]
+,
+"en/symbols/latin-upper-single-accent.js": 
+[{"locale":"en"},{"category":"Lu","key":"00C0","mappings":{"default":{"default":"cap A grave"},"mathspeak":{"default":"modifying above upper A with grave","brief":"mod above upper A with grave","sbrief":"mod above upper A with grave"}}},{"category":"Lu","key":"00C1","mappings":{"default":{"default":"cap A acute"},"mathspeak":{"default":"modifying above upper A with acute","brief":"mod above upper A with acute","sbrief":"mod above upper A with acute"}}},{"category":"Lu","key":"00C2","mappings":{"default":{"default":"cap A hat"},"mathspeak":{"default":"modifying above upper A with caret","brief":"mod above upper A with caret","sbrief":"mod above upper A with caret"}}},{"category":"Lu","key":"00C3","mappings":{"default":{"default":"cap A tilde"},"mathspeak":{"default":"upper A overtilde","brief":"upper A overtilde","sbrief":"upper A overtilde"}}},{"category":"Lu","key":"00C4","mappings":{"default":{"default":"cap A double overdot"},"mathspeak":{"default":"modifying above upper A with double dot","brief":"mod above upper A with double dot","sbrief":"mod above upper A with double dot"}}},{"category":"Lu","key":"00C5","mappings":{"default":{"default":"cap A ring"},"mathspeak":{"default":"modifying above upper A with ring","brief":"mod above upper A with ring","sbrief":"mod above upper A with ring"}}},{"category":"Lu","key":"00C7","mappings":{"default":{"default":"cap C cedilla"},"mathspeak":{"default":"modifying above upper C with cedilla","brief":"mod above upper C with cedilla","sbrief":"mod above upper C with cedilla"}}},{"category":"Lu","key":"00C8","mappings":{"default":{"default":"cap E grave"},"mathspeak":{"default":"modifying above upper E with grave","brief":"mod above upper E with grave","sbrief":"mod above upper E with grave"}}},{"category":"Lu","key":"00C9","mappings":{"default":{"default":"cap E acute"},"mathspeak":{"default":"modifying above upper E with acute","brief":"mod above upper E with acute","sbrief":"mod above upper E with acute"}}},{"category":"Lu","key":"00CA","mappings":{"default":{"default":"cap E hat"},"mathspeak":{"default":"modifying above upper E with caret","brief":"mod above upper E with caret","sbrief":"mod above upper E with caret"}}},{"category":"Lu","key":"00CB","mappings":{"default":{"default":"cap E double overdot"},"mathspeak":{"default":"modifying above upper E with double dot","brief":"mod above upper E with double dot","sbrief":"mod above upper E with double dot"}}},{"category":"Lu","key":"00CC","mappings":{"default":{"default":"cap I grave"},"mathspeak":{"default":"modifying above upper I with grave","brief":"mod above upper I with grave","sbrief":"mod above upper I with grave"}}},{"category":"Lu","key":"00CD","mappings":{"default":{"default":"cap I acute"},"mathspeak":{"default":"modifying above upper I with acute","brief":"mod above upper I with acute","sbrief":"mod above upper I with acute"}}},{"category":"Lu","key":"00CE","mappings":{"default":{"default":"cap I hat"},"mathspeak":{"default":"modifying above upper I with caret","brief":"mod above upper I with caret","sbrief":"mod above upper I with caret"}}},{"category":"Lu","key":"00CF","mappings":{"default":{"default":"cap I double overdot"},"mathspeak":{"default":"modifying above upper I with double dot","brief":"mod above upper I with double dot","sbrief":"mod above upper I with double dot"}}},{"category":"Lu","key":"00D1","mappings":{"default":{"default":"cap N tilde"},"mathspeak":{"default":"upper N overtilde","brief":"upper N overtilde","sbrief":"upper N overtilde"}}},{"category":"Lu","key":"00D2","mappings":{"default":{"default":"cap O grave"},"mathspeak":{"default":"modifying above upper O with grave","brief":"mod above upper O with grave","sbrief":"mod above upper O with grave"}}},{"category":"Lu","key":"00D3","mappings":{"default":{"default":"cap O acute"},"mathspeak":{"default":"modifying above upper O with acute","brief":"mod above upper O with acute","sbrief":"mod above upper O with acute"}}},{"category":"Lu","key":"00D4","mappings":{"default":{"default":"cap O hat"},"mathspeak":{"default":"modifying above upper O with caret","brief":"mod above upper O with caret","sbrief":"mod above upper O with caret"}}},{"category":"Lu","key":"00D5","mappings":{"default":{"default":"cap O tilde"},"mathspeak":{"default":"upper O overtilde","brief":"upper O overtilde","sbrief":"upper O overtilde"}}},{"category":"Lu","key":"00D6","mappings":{"default":{"default":"cap O double overdot"},"mathspeak":{"default":"modifying above upper O with double dot","brief":"mod above upper O with double dot","sbrief":"mod above upper O with double dot"}}},{"category":"Lu","key":"00D9","mappings":{"default":{"default":"cap U grave"},"mathspeak":{"default":"modifying above upper U with grave","brief":"mod above upper U with grave","sbrief":"mod above upper U with grave"}}},{"category":"Lu","key":"00DA","mappings":{"default":{"default":"cap U acute"},"mathspeak":{"default":"modifying above upper U with acute","brief":"mod above upper U with acute","sbrief":"mod above upper U with acute"}}},{"category":"Lu","key":"00DB","mappings":{"default":{"default":"cap U hat"},"mathspeak":{"default":"modifying above upper U with caret","brief":"mod above upper U with caret","sbrief":"mod above upper U with caret"}}},{"category":"Lu","key":"00DC","mappings":{"default":{"default":"cap U double overdot"},"mathspeak":{"default":"modifying above upper U with double dot","brief":"mod above upper U with double dot","sbrief":"mod above upper U with double dot"}}},{"category":"Lu","key":"00DD","mappings":{"default":{"default":"cap Y acute"},"mathspeak":{"default":"modifying above upper Y with acute","brief":"mod above upper Y with acute","sbrief":"mod above upper Y with acute"}}},{"category":"Lu","key":"0100","mappings":{"default":{"default":"cap A overbar"},"mathspeak":{"default":"upper A overbar","brief":"upper A overbar","sbrief":"upper A overbar"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"cap A breve"},"mathspeak":{"default":"modifying above upper A with breve","brief":"mod above upper A with breve","sbrief":"mod above upper A with breve"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"cap A ogonek"},"mathspeak":{"default":"modifying above upper A with ogonek","brief":"mod above upper A with ogonek","sbrief":"mod above upper A with ogonek"}}},{"category":"Lu","key":"0106","mappings":{"default":{"default":"cap C acute"},"mathspeak":{"default":"modifying above upper C with acute","brief":"mod above upper C with acute","sbrief":"mod above upper C with acute"}}},{"category":"Lu","key":"0108","mappings":{"default":{"default":"cap C hat"},"mathspeak":{"default":"modifying above upper C with caret","brief":"mod above upper C with caret","sbrief":"mod above upper C with caret"}}},{"category":"Lu","key":"010A","mappings":{"default":{"default":"cap C overdot"},"mathspeak":{"default":"modifying above upper C with dot","brief":"mod above upper C with dot","sbrief":"mod above upper C with dot"}}},{"category":"Lu","key":"010C","mappings":{"default":{"default":"cap C caron"},"mathspeak":{"default":"modifying above upper C with caron","brief":"mod above upper C with caron","sbrief":"mod above upper C with caron"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"cap D caron"},"mathspeak":{"default":"modifying above upper D with caron","brief":"mod above upper D with caron","sbrief":"mod above upper D with caron"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"cap E overbar"},"mathspeak":{"default":"upper E overbar","brief":"upper E overbar","sbrief":"upper E overbar"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"cap E breve"},"mathspeak":{"default":"modifying above upper E with breve","brief":"mod above upper E with breve","sbrief":"mod above upper E with breve"}}},{"category":"Lu","key":"0116","mappings":{"default":{"default":"cap E overdot"},"mathspeak":{"default":"modifying above upper E with dot","brief":"mod above upper E with dot","sbrief":"mod above upper E with dot"}}},{"category":"Lu","key":"0118","mappings":{"default":{"default":"cap E ogonek"},"mathspeak":{"default":"modifying above upper E with ogonek","brief":"mod above upper E with ogonek","sbrief":"mod above upper E with ogonek"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"cap E caron"},"mathspeak":{"default":"modifying above upper E with caron","brief":"mod above upper E with caron","sbrief":"mod above upper E with caron"}}},{"category":"Lu","key":"011C","mappings":{"default":{"default":"cap G hat"},"mathspeak":{"default":"modifying above upper G with caret","brief":"mod above upper G with caret","sbrief":"mod above upper G with caret"}}},{"category":"Lu","key":"011E","mappings":{"default":{"default":"cap G breve"},"mathspeak":{"default":"modifying above upper G with breve","brief":"mod above upper G with breve","sbrief":"mod above upper G with breve"}}},{"category":"Lu","key":"0120","mappings":{"default":{"default":"cap G overdot"},"mathspeak":{"default":"modifying above upper G with dot","brief":"mod above upper G with dot","sbrief":"mod above upper G with dot"}}},{"category":"Lu","key":"0122","mappings":{"default":{"default":"cap G cedilla"},"mathspeak":{"default":"modifying above upper G with cedilla","brief":"mod above upper G with cedilla","sbrief":"mod above upper G with cedilla"}}},{"category":"Lu","key":"0124","mappings":{"default":{"default":"cap H hat"},"mathspeak":{"default":"modifying above upper H with caret","brief":"mod above upper H with caret","sbrief":"mod above upper H with caret"}}},{"category":"Lu","key":"0128","mappings":{"default":{"default":"cap I tilde"},"mathspeak":{"default":"upper I overtilde","brief":"upper I overtilde","sbrief":"upper I overtilde"}}},{"category":"Lu","key":"012A","mappings":{"default":{"default":"cap I overbar"},"mathspeak":{"default":"upper I overbar","brief":"upper I overbar","sbrief":"upper I overbar"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"cap I breve"},"mathspeak":{"default":"modifying above upper I with breve","brief":"mod above upper I with breve","sbrief":"mod above upper I with breve"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"cap I ogonek"},"mathspeak":{"default":"modifying above upper I with ogonek","brief":"mod above upper I with ogonek","sbrief":"mod above upper I with ogonek"}}},{"category":"Lu","key":"0130","mappings":{"default":{"default":"cap I overdot"},"mathspeak":{"default":"modifying above upper I with dot","brief":"mod above upper I with dot","sbrief":"mod above upper I with dot"}}},{"category":"Lu","key":"0134","mappings":{"default":{"default":"cap J hat"},"mathspeak":{"default":"modifying above upper J with caret","brief":"mod above upper J with caret","sbrief":"mod above upper J with caret"}}},{"category":"Lu","key":"0136","mappings":{"default":{"default":"cap K cedilla"},"mathspeak":{"default":"modifying above upper K with cedilla","brief":"mod above upper K with cedilla","sbrief":"mod above upper K with cedilla"}}},{"category":"Lu","key":"0139","mappings":{"default":{"default":"cap L acute"},"mathspeak":{"default":"modifying above upper L with acute","brief":"mod above upper L with acute","sbrief":"mod above upper L with acute"}}},{"category":"Lu","key":"013B","mappings":{"default":{"default":"cap L cedilla"},"mathspeak":{"default":"modifying above upper L with cedilla","brief":"mod above upper L with cedilla","sbrief":"mod above upper L with cedilla"}}},{"category":"Lu","key":"013D","mappings":{"default":{"default":"cap L caron"},"mathspeak":{"default":"modifying above upper L with caron","brief":"mod above upper L with caron","sbrief":"mod above upper L with caron"}}},{"category":"Lu","key":"013F","mappings":{"default":{"default":"cap L middle dot"},"mathspeak":{"default":"modifying above upper L with middle dot","brief":"mod above upper L with middle dot","sbrief":"mod above upper L with middle dot"}}},{"category":"Lu","key":"0143","mappings":{"default":{"default":"cap N acute"},"mathspeak":{"default":"modifying above upper N with acute","brief":"mod above upper N with acute","sbrief":"mod above upper N with acute"}}},{"category":"Lu","key":"0145","mappings":{"default":{"default":"cap N cedilla"},"mathspeak":{"default":"modifying above upper N with cedilla","brief":"mod above upper N with cedilla","sbrief":"mod above upper N with cedilla"}}},{"category":"Lu","key":"0147","mappings":{"default":{"default":"cap N caron"},"mathspeak":{"default":"modifying above upper N with caron","brief":"mod above upper N with caron","sbrief":"mod above upper N with caron"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"cap O overbar"},"mathspeak":{"default":"upper O overbar","brief":"upper O overbar","sbrief":"upper O overbar"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"cap O breve"},"mathspeak":{"default":"modifying above upper O with breve","brief":"mod above upper O with breve","sbrief":"mod above upper O with breve"}}},{"category":"Lu","key":"0150","mappings":{"default":{"default":"cap O double acute"},"mathspeak":{"default":"modifying above upper O with double acute","brief":"mod above upper O with double acute","sbrief":"mod above upper O with double acute"}}},{"category":"Lu","key":"0154","mappings":{"default":{"default":"cap R acute"},"mathspeak":{"default":"modifying above upper R with acute","brief":"mod above upper R with acute","sbrief":"mod above upper R with acute"}}},{"category":"Lu","key":"0156","mappings":{"default":{"default":"cap R cedilla"},"mathspeak":{"default":"modifying above upper R with cedilla","brief":"mod above upper R with cedilla","sbrief":"mod above upper R with cedilla"}}},{"category":"Lu","key":"0158","mappings":{"default":{"default":"cap R caron"},"mathspeak":{"default":"modifying above upper R with caron","brief":"mod above upper R with caron","sbrief":"mod above upper R with caron"}}},{"category":"Lu","key":"015A","mappings":{"default":{"default":"cap S acute"},"mathspeak":{"default":"modifying above upper S with acute","brief":"mod above upper S with acute","sbrief":"mod above upper S with acute"}}},{"category":"Lu","key":"015C","mappings":{"default":{"default":"cap S hat"},"mathspeak":{"default":"modifying above upper S with caret","brief":"mod above upper S with caret","sbrief":"mod above upper S with caret"}}},{"category":"Lu","key":"015E","mappings":{"default":{"default":"cap S cedilla"},"mathspeak":{"default":"modifying above upper S with cedilla","brief":"mod above upper S with cedilla","sbrief":"mod above upper S with cedilla"}}},{"category":"Lu","key":"0160","mappings":{"default":{"default":"cap S caron"},"mathspeak":{"default":"modifying above upper S with caron","brief":"mod above upper S with caron","sbrief":"mod above upper S with caron"}}},{"category":"Lu","key":"0162","mappings":{"default":{"default":"cap T cedilla"},"mathspeak":{"default":"modifying above upper T with cedilla","brief":"mod above upper T with cedilla","sbrief":"mod above upper T with cedilla"}}},{"category":"Lu","key":"0164","mappings":{"default":{"default":"cap T caron"},"mathspeak":{"default":"modifying above upper T with caron","brief":"mod above upper T with caron","sbrief":"mod above upper T with caron"}}},{"category":"Lu","key":"0168","mappings":{"default":{"default":"cap U tilde"},"mathspeak":{"default":"upper U overtilde","brief":"upper U overtilde","sbrief":"upper U overtilde"}}},{"category":"Lu","key":"016A","mappings":{"default":{"default":"cap U overbar"},"mathspeak":{"default":"upper U overbar","brief":"upper U overbar","sbrief":"upper U overbar"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"cap U breve"},"mathspeak":{"default":"modifying above upper U with breve","brief":"mod above upper U with breve","sbrief":"mod above upper U with breve"}}},{"category":"Lu","key":"016E","mappings":{"default":{"default":"cap U ring"},"mathspeak":{"default":"modifying above upper U with ring","brief":"mod above upper U with ring","sbrief":"mod above upper U with ring"}}},{"category":"Lu","key":"0170","mappings":{"default":{"default":"cap U double acute"},"mathspeak":{"default":"modifying above upper U with double acute","brief":"mod above upper U with double acute","sbrief":"mod above upper U with double acute"}}},{"category":"Lu","key":"0172","mappings":{"default":{"default":"cap U ogonek"},"mathspeak":{"default":"modifying above upper U with ogonek","brief":"mod above upper U with ogonek","sbrief":"mod above upper U with ogonek"}}},{"category":"Lu","key":"0174","mappings":{"default":{"default":"cap W hat"},"mathspeak":{"default":"modifying above upper W with caret","brief":"mod above upper W with caret","sbrief":"mod above upper W with caret"}}},{"category":"Lu","key":"0176","mappings":{"default":{"default":"cap Y hat"},"mathspeak":{"default":"modifying above upper Y with caret","brief":"mod above upper Y with caret","sbrief":"mod above upper Y with caret"}}},{"category":"Lu","key":"0178","mappings":{"default":{"default":"cap Y double overdot"},"mathspeak":{"default":"modifying above upper Y with double dot","brief":"mod above upper Y with double dot","sbrief":"mod above upper Y with double dot"}}},{"category":"Lu","key":"0179","mappings":{"default":{"default":"cap Z acute"},"mathspeak":{"default":"modifying above upper Z with acute","brief":"mod above upper Z with acute","sbrief":"mod above upper Z with acute"}}},{"category":"Lu","key":"017B","mappings":{"default":{"default":"cap Z overdot"},"mathspeak":{"default":"modifying above upper Z with dot","brief":"mod above upper Z with dot","sbrief":"mod above upper Z with dot"}}},{"category":"Lu","key":"017D","mappings":{"default":{"default":"cap Z caron"},"mathspeak":{"default":"modifying above upper Z with caron","brief":"mod above upper Z with caron","sbrief":"mod above upper Z with caron"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"cap A caron"},"mathspeak":{"default":"modifying above upper A with caron","brief":"mod above upper A with caron","sbrief":"mod above upper A with caron"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"cap I caron"},"mathspeak":{"default":"modifying above upper I with caron","brief":"mod above upper I with caron","sbrief":"mod above upper I with caron"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"cap O caron"},"mathspeak":{"default":"modifying above upper O with caron","brief":"mod above upper O with caron","sbrief":"mod above upper O with caron"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"cap U caron"},"mathspeak":{"default":"modifying above upper U with caron","brief":"mod above upper U with caron","sbrief":"mod above upper U with caron"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"cap G caron"},"mathspeak":{"default":"modifying above upper G with caron","brief":"mod above upper G with caron","sbrief":"mod above upper G with caron"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"cap K caron"},"mathspeak":{"default":"modifying above upper K with caron","brief":"mod above upper K with caron","sbrief":"mod above upper K with caron"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"cap O ogonek"},"mathspeak":{"default":"modifying above upper O with ogonek","brief":"mod above upper O with ogonek","sbrief":"mod above upper O with ogonek"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"cap G acute"},"mathspeak":{"default":"modifying above upper G with acute","brief":"mod above upper G with acute","sbrief":"mod above upper G with acute"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"cap N grave"},"mathspeak":{"default":"modifying above upper N with grave","brief":"mod above upper N with grave","sbrief":"mod above upper N with grave"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"cap A double grave"},"mathspeak":{"default":"modifying above upper A with double grave","brief":"mod above upper A with double grave","sbrief":"mod above upper A with double grave"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"cap A inverted breve"},"mathspeak":{"default":"modifying above upper A with inverted breve","brief":"mod above upper A with inverted breve","sbrief":"mod above upper A with inverted breve"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"cap E double grave"},"mathspeak":{"default":"modifying above upper E with double grave","brief":"mod above upper E with double grave","sbrief":"mod above upper E with double grave"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"cap E inverted breve"},"mathspeak":{"default":"modifying above upper E with inverted breve","brief":"mod above upper E with inverted breve","sbrief":"mod above upper E with inverted breve"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"cap I double grave"},"mathspeak":{"default":"modifying above upper I with double grave","brief":"mod above upper I with double grave","sbrief":"mod above upper I with double grave"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"cap I inverted breve"},"mathspeak":{"default":"modifying above upper I with inverted breve","brief":"mod above upper I with inverted breve","sbrief":"mod above upper I with inverted breve"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"cap O double grave"},"mathspeak":{"default":"modifying above upper O with double grave","brief":"mod above upper O with double grave","sbrief":"mod above upper O with double grave"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"cap O inverted breve"},"mathspeak":{"default":"modifying above upper O with inverted breve","brief":"mod above upper O with inverted breve","sbrief":"mod above upper O with inverted breve"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"cap R double grave"},"mathspeak":{"default":"modifying above upper R with double grave","brief":"mod above upper R with double grave","sbrief":"mod above upper R with double grave"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"cap R inverted breve"},"mathspeak":{"default":"modifying above upper R with inverted breve","brief":"mod above upper R with inverted breve","sbrief":"mod above upper R with inverted breve"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"cap U double grave"},"mathspeak":{"default":"modifying above upper U with double grave","brief":"mod above upper U with double grave","sbrief":"mod above upper U with double grave"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"cap U inverted breve"},"mathspeak":{"default":"modifying above upper U with inverted breve","brief":"mod above upper U with inverted breve","sbrief":"mod above upper U with inverted breve"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"cap S comma below"},"mathspeak":{"default":"modifying below upper S with comma below","brief":"mod below upper S with comma below","sbrief":"mod below upper S with comma below"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"cap T comma below"},"mathspeak":{"default":"modifying below upper T with comma below","brief":"mod below upper T with comma below","sbrief":"mod below upper T with comma below"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"cap H caron"},"mathspeak":{"default":"modifying above upper H with caron","brief":"mod above upper H with caron","sbrief":"mod above upper H with caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"cap A overdot"},"mathspeak":{"default":"modifying above upper A with dot","brief":"mod above upper A with dot","sbrief":"mod above upper A with dot"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"cap E cedilla"},"mathspeak":{"default":"modifying above upper E with cedilla","brief":"mod above upper E with cedilla","sbrief":"mod above upper E with cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"cap O overdot"},"mathspeak":{"default":"modifying above upper O with dot","brief":"mod above upper O with dot","sbrief":"mod above upper O with dot"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"cap Y overbar"},"mathspeak":{"default":"upper Y overbar","brief":"upper Y overbar","sbrief":"upper Y overbar"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"cap A ring below"},"mathspeak":{"default":"modifying below upper A with ring below","brief":"mod below upper A with ring below","sbrief":"mod below upper A with ring below"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"cap B overdot"},"mathspeak":{"default":"modifying above upper B with dot","brief":"mod above upper B with dot","sbrief":"mod above upper B with dot"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"cap B underdot"},"mathspeak":{"default":"modifying below upper B with dot","brief":"mod below upper B with dot","sbrief":"mod below upper B with dot"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"cap B underbar"},"mathspeak":{"default":"upper B underbar","brief":"upper B underbar","sbrief":"upper B underbar"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"cap D overdot"},"mathspeak":{"default":"modifying above upper D with dot","brief":"mod above upper D with dot","sbrief":"mod above upper D with dot"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"cap D underdot"},"mathspeak":{"default":"modifying below upper D with dot","brief":"mod below upper D with dot","sbrief":"mod below upper D with dot"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"cap D underbar"},"mathspeak":{"default":"upper D underbar","brief":"upper D underbar","sbrief":"upper D underbar"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"cap D cedilla"},"mathspeak":{"default":"modifying above upper D with cedilla","brief":"mod above upper D with cedilla","sbrief":"mod above upper D with cedilla"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"cap D underhat"},"mathspeak":{"default":"modifying below upper D with caret","brief":"mod below upper D with caret","sbrief":"mod below upper D with caret"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"cap E underhat"},"mathspeak":{"default":"modifying below upper E with caret","brief":"mod below upper E with caret","sbrief":"mod below upper E with caret"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"cap E tilde below"},"mathspeak":{"default":"upper E undertilde","brief":"upper E undertilde","sbrief":"upper E undertilde"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"cap F overdot"},"mathspeak":{"default":"modifying above upper F with dot","brief":"mod above upper F with dot","sbrief":"mod above upper F with dot"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"cap G overbar"},"mathspeak":{"default":"upper G overbar","brief":"upper G overbar","sbrief":"upper G overbar"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"cap H overdot"},"mathspeak":{"default":"modifying above upper H with dot","brief":"mod above upper H with dot","sbrief":"mod above upper H with dot"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"cap H underdot"},"mathspeak":{"default":"modifying below upper H with dot","brief":"mod below upper H with dot","sbrief":"mod below upper H with dot"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"cap H double overdot"},"mathspeak":{"default":"modifying above upper H with double dot","brief":"mod above upper H with double dot","sbrief":"mod above upper H with double dot"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"cap H cedilla"},"mathspeak":{"default":"modifying above upper H with cedilla","brief":"mod above upper H with cedilla","sbrief":"mod above upper H with cedilla"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"cap H breve below"},"mathspeak":{"default":"modifying below upper H with breve below","brief":"mod below upper H with breve below","sbrief":"mod below upper H with breve below"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"cap I tilde below"},"mathspeak":{"default":"upper I undertilde","brief":"upper I undertilde","sbrief":"upper I undertilde"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"cap K acute"},"mathspeak":{"default":"modifying above upper K with acute","brief":"mod above upper K with acute","sbrief":"mod above upper K with acute"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"cap K underdot"},"mathspeak":{"default":"modifying below upper K with dot","brief":"mod below upper K with dot","sbrief":"mod below upper K with dot"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"cap K underbar"},"mathspeak":{"default":"upper K underbar","brief":"upper K underbar","sbrief":"upper K underbar"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"cap L underdot"},"mathspeak":{"default":"modifying below upper L with dot","brief":"mod below upper L with dot","sbrief":"mod below upper L with dot"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"cap L underbar"},"mathspeak":{"default":"upper L underbar","brief":"upper L underbar","sbrief":"upper L underbar"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"cap L underhat"},"mathspeak":{"default":"modifying below upper L with caret","brief":"mod below upper L with caret","sbrief":"mod below upper L with caret"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"cap M acute"},"mathspeak":{"default":"modifying above upper M with acute","brief":"mod above upper M with acute","sbrief":"mod above upper M with acute"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"cap M overdot"},"mathspeak":{"default":"modifying above upper M with dot","brief":"mod above upper M with dot","sbrief":"mod above upper M with dot"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"cap M underdot"},"mathspeak":{"default":"modifying below upper M with dot","brief":"mod below upper M with dot","sbrief":"mod below upper M with dot"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"cap N overdot"},"mathspeak":{"default":"modifying above upper N with dot","brief":"mod above upper N with dot","sbrief":"mod above upper N with dot"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"cap N underdot"},"mathspeak":{"default":"modifying below upper N with dot","brief":"mod below upper N with dot","sbrief":"mod below upper N with dot"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"cap N underbar"},"mathspeak":{"default":"upper N underbar","brief":"upper N underbar","sbrief":"upper N underbar"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"cap N underhat"},"mathspeak":{"default":"modifying below upper N with caret","brief":"mod below upper N with caret","sbrief":"mod below upper N with caret"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"cap P acute"},"mathspeak":{"default":"modifying above upper P with acute","brief":"mod above upper P with acute","sbrief":"mod above upper P with acute"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"cap P overdot"},"mathspeak":{"default":"modifying above upper P with dot","brief":"mod above upper P with dot","sbrief":"mod above upper P with dot"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"cap R overdot"},"mathspeak":{"default":"modifying above upper R with dot","brief":"mod above upper R with dot","sbrief":"mod above upper R with dot"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"cap R underdot"},"mathspeak":{"default":"modifying below upper R with dot","brief":"mod below upper R with dot","sbrief":"mod below upper R with dot"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"cap R underbar"},"mathspeak":{"default":"upper R underbar","brief":"upper R underbar","sbrief":"upper R underbar"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"cap S overdot"},"mathspeak":{"default":"modifying above upper S with dot","brief":"mod above upper S with dot","sbrief":"mod above upper S with dot"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"cap S underdot"},"mathspeak":{"default":"modifying below upper S with dot","brief":"mod below upper S with dot","sbrief":"mod below upper S with dot"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"cap T overdot"},"mathspeak":{"default":"modifying above upper T with dot","brief":"mod above upper T with dot","sbrief":"mod above upper T with dot"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"cap T underdot"},"mathspeak":{"default":"modifying below upper T with dot","brief":"mod below upper T with dot","sbrief":"mod below upper T with dot"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"cap T underbar"},"mathspeak":{"default":"upper T underbar","brief":"upper T underbar","sbrief":"upper T underbar"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"cap T underhat"},"mathspeak":{"default":"modifying below upper T with caret","brief":"mod below upper T with caret","sbrief":"mod below upper T with caret"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"cap U double underdot"},"mathspeak":{"default":"modifying below upper U with double dot","brief":"mod below upper U with double dot","sbrief":"mod below upper U with double dot"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"cap U tilde below"},"mathspeak":{"default":"upper U undertilde","brief":"upper U undertilde","sbrief":"upper U undertilde"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"cap U underhat"},"mathspeak":{"default":"modifying below upper U with caret","brief":"mod below upper U with caret","sbrief":"mod below upper U with caret"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"cap V tilde"},"mathspeak":{"default":"upper V overtilde","brief":"upper V overtilde","sbrief":"upper V overtilde"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"cap V underdot"},"mathspeak":{"default":"modifying below upper V with dot","brief":"mod below upper V with dot","sbrief":"mod below upper V with dot"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"cap W grave"},"mathspeak":{"default":"modifying above upper W with grave","brief":"mod above upper W with grave","sbrief":"mod above upper W with grave"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"cap W acute"},"mathspeak":{"default":"modifying above upper W with acute","brief":"mod above upper W with acute","sbrief":"mod above upper W with acute"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"cap W double overdot"},"mathspeak":{"default":"modifying above upper W with double dot","brief":"mod above upper W with double dot","sbrief":"mod above upper W with double dot"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"cap W overdot"},"mathspeak":{"default":"modifying above upper W with dot","brief":"mod above upper W with dot","sbrief":"mod above upper W with dot"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"cap W underdot"},"mathspeak":{"default":"modifying below upper W with dot","brief":"mod below upper W with dot","sbrief":"mod below upper W with dot"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"cap X overdot"},"mathspeak":{"default":"modifying above upper X with dot","brief":"mod above upper X with dot","sbrief":"mod above upper X with dot"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"cap X double overdot"},"mathspeak":{"default":"modifying above upper X with double dot","brief":"mod above upper X with double dot","sbrief":"mod above upper X with double dot"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"cap Y overdot"},"mathspeak":{"default":"modifying above upper Y with dot","brief":"mod above upper Y with dot","sbrief":"mod above upper Y with dot"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"cap Z circumflex"},"mathspeak":{"default":"modifying above upper Z with circumflex","brief":"mod above upper Z with circumflex","sbrief":"mod above upper Z with circumflex"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"cap Z underdot"},"mathspeak":{"default":"modifying below upper Z with dot","brief":"mod below upper Z with dot","sbrief":"mod below upper Z with dot"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"cap Z underbar"},"mathspeak":{"default":"upper Z underbar","brief":"upper Z underbar","sbrief":"upper Z underbar"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"cap A underdot"},"mathspeak":{"default":"modifying below upper A with dot","brief":"mod below upper A with dot","sbrief":"mod below upper A with dot"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"cap A hook"},"mathspeak":{"default":"modifying above upper A with hook","brief":"mod above upper A with hook","sbrief":"mod above upper A with hook"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"cap E underdot"},"mathspeak":{"default":"modifying below upper E with dot","brief":"mod below upper E with dot","sbrief":"mod below upper E with dot"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"cap E hook"},"mathspeak":{"default":"modifying above upper E with hook","brief":"mod above upper E with hook","sbrief":"mod above upper E with hook"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"cap E tilde"},"mathspeak":{"default":"upper E overtilde","brief":"upper E overtilde","sbrief":"upper E overtilde"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"cap I hook"},"mathspeak":{"default":"modifying above upper I with hook","brief":"mod above upper I with hook","sbrief":"mod above upper I with hook"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"cap I underdot"},"mathspeak":{"default":"modifying below upper I with dot","brief":"mod below upper I with dot","sbrief":"mod below upper I with dot"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"cap O underdot"},"mathspeak":{"default":"modifying below upper O with dot","brief":"mod below upper O with dot","sbrief":"mod below upper O with dot"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"cap O hook"},"mathspeak":{"default":"modifying above upper O with hook","brief":"mod above upper O with hook","sbrief":"mod above upper O with hook"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"cap U underdot"},"mathspeak":{"default":"modifying below upper U with dot","brief":"mod below upper U with dot","sbrief":"mod below upper U with dot"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"cap U hook"},"mathspeak":{"default":"modifying above upper U with hook","brief":"mod above upper U with hook","sbrief":"mod above upper U with hook"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"cap Y grave"},"mathspeak":{"default":"modifying above upper Y with grave","brief":"mod above upper Y with grave","sbrief":"mod above upper Y with grave"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"cap Y underdot"},"mathspeak":{"default":"modifying below upper Y with dot","brief":"mod below upper Y with dot","sbrief":"mod below upper Y with dot"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"cap Y hook"},"mathspeak":{"default":"modifying above upper Y with hook","brief":"mod above upper Y with hook","sbrief":"mod above upper Y with hook"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"cap Y tilde"},"mathspeak":{"default":"upper Y overtilde","brief":"upper Y overtilde","sbrief":"upper Y overtilde"}}}]
+,
+"en/symbols/math_angles.js": 
+[{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"right angle with arc"}},"key":"22BE"},{"category":"Sm","mappings":{"default":{"default":"right angle with downwards zigzag arrow"}},"key":"237C"},{"category":"Sm","mappings":{"default":{"default":"three dimensional angle"}},"key":"27C0"},{"category":"Sm","mappings":{"default":{"default":"measured angle opening left"}},"key":"299B"},{"category":"Sm","mappings":{"default":{"default":"right angle variant with square"}},"key":"299C"},{"category":"Sm","mappings":{"default":{"default":"measured right angle with dot"}},"key":"299D"},{"category":"Sm","mappings":{"default":{"default":"angle with s inside"}},"key":"299E"},{"category":"Sm","mappings":{"default":{"default":"acute angle"}},"key":"299F"},{"category":"Sm","mappings":{"default":{"default":"spherical angle opening left"}},"key":"29A0"},{"category":"Sm","mappings":{"default":{"default":"spherical angle opening up"}},"key":"29A1"},{"category":"Sm","mappings":{"default":{"default":"turned angle"}},"key":"29A2"},{"category":"Sm","mappings":{"default":{"default":"reversed angle"}},"key":"29A3"},{"category":"Sm","mappings":{"default":{"default":"angle with underbar"}},"key":"29A4"},{"category":"Sm","mappings":{"default":{"default":"reversed angle with underbar"}},"key":"29A5"},{"category":"Sm","mappings":{"default":{"default":"oblique angle opening up"}},"key":"29A6"},{"category":"Sm","mappings":{"default":{"default":"oblique angle opening down"}},"key":"29A7"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and right"}},"key":"29A8"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and left"}},"key":"29A9"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and right"}},"key":"29AA"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and left"}},"key":"29AB"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"key":"29AC"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"key":"29AD"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"key":"29AE"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"key":"29AF"}]
+,
+"en/symbols/math_arrows.js": 
+[{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"left arrow"},"mathspeak":{"sbrief":"L arrow"}},"key":"2190"},{"category":"Sm","mappings":{"default":{"default":"up arrow"},"mathspeak":{"sbrief":"U arrow"}},"key":"2191"},{"category":"Sm","mappings":{"default":{"default":"right arrow"},"mathspeak":{"sbrief":"R arrow"}},"key":"2192"},{"category":"Sm","mappings":{"default":{"default":"down arrow"},"mathspeak":{"sbrief":"D arrow"}},"key":"2193"},{"category":"Sm","mappings":{"default":{"default":"left right arrow"},"mathspeak":{"sbrief":"L R arrow"}},"key":"2194"},{"category":"So","mappings":{"default":{"default":"up down arrow"},"mathspeak":{"sbrief":"U D arrow"}},"key":"2195"},{"category":"So","mappings":{"default":{"default":"up left arrow"},"mathspeak":{"sbrief":"U L arrow"}},"key":"2196"},{"category":"So","mappings":{"default":{"default":"up right arrow"},"mathspeak":{"sbrief":"U R arrow"}},"key":"2197"},{"category":"So","mappings":{"default":{"default":"down right arrow"},"mathspeak":{"sbrief":"D R arrow"}},"key":"2198"},{"category":"So","mappings":{"default":{"default":"down left arrow"},"mathspeak":{"sbrief":"D L arrow"}},"key":"2199"},{"category":"Sm","mappings":{"default":{"default":"left arrow with stroke"},"mathspeak":{"sbrief":"L arrow with stroke"}},"key":"219A"},{"category":"Sm","mappings":{"default":{"default":"right arrow with stroke"},"mathspeak":{"sbrief":"R arrow with stroke"}},"key":"219B"},{"category":"So","mappings":{"default":{"default":"left wave arrow"},"mathspeak":{"sbrief":"L wave arrow"}},"key":"219C"},{"category":"So","mappings":{"default":{"default":"right wave arrow"},"mathspeak":{"sbrief":"R wave arrow"}},"key":"219D"},{"category":"So","mappings":{"default":{"default":"two headed left arrow"},"mathspeak":{"sbrief":"two headed L arrow"}},"key":"219E"},{"category":"So","mappings":{"default":{"default":"two headed up arrow"},"mathspeak":{"sbrief":"two headed U arrow"}},"key":"219F"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow"},"mathspeak":{"sbrief":"two headed R arrow"}},"key":"21A0"},{"category":"So","mappings":{"default":{"default":"two headed down arrow"},"mathspeak":{"sbrief":"two headed D arrow"}},"key":"21A1"},{"category":"So","mappings":{"default":{"default":"left arrow with tail"},"mathspeak":{"sbrief":"L arrow with tail"}},"key":"21A2"},{"category":"Sm","mappings":{"default":{"default":"right arrow with tail"},"mathspeak":{"sbrief":"R arrow with tail"}},"key":"21A3"},{"category":"So","mappings":{"default":{"default":"left arrow from bar"},"mathspeak":{"sbrief":"L arrow from bar"}},"key":"21A4"},{"category":"So","mappings":{"default":{"default":"up arrow from bar"},"mathspeak":{"sbrief":"U arrow from bar"}},"key":"21A5"},{"category":"Sm","mappings":{"default":{"default":"right arrow from bar"},"mathspeak":{"sbrief":"R arrow from bar"}},"key":"21A6"},{"category":"So","mappings":{"default":{"default":"down arrow from bar"},"mathspeak":{"sbrief":"D arrow from bar"}},"key":"21A7"},{"category":"So","mappings":{"default":{"default":"up down arrow with base"},"mathspeak":{"sbrief":"U D arrow with base"}},"key":"21A8"},{"category":"So","mappings":{"default":{"default":"left arrow with hook"},"mathspeak":{"sbrief":"L arrow with hook"}},"key":"21A9"},{"category":"So","mappings":{"default":{"default":"right arrow with hook"},"mathspeak":{"sbrief":"R arrow with hook"}},"key":"21AA"},{"category":"So","mappings":{"default":{"default":"left arrow with loop"},"mathspeak":{"sbrief":"L arrow with loop"}},"key":"21AB"},{"category":"So","mappings":{"default":{"default":"right arrow with loop"},"mathspeak":{"sbrief":"R arrow with loop"}},"key":"21AC"},{"category":"So","mappings":{"default":{"default":"left right wave arrow"},"mathspeak":{"sbrief":"L R wave arrow"}},"key":"21AD"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with stroke"},"mathspeak":{"sbrief":"L R arrow with stroke"}},"key":"21AE"},{"category":"So","mappings":{"default":{"default":"down zigzag arrow"},"mathspeak":{"sbrief":"d zigzag arrow"}},"key":"21AF"},{"category":"So","mappings":{"default":{"default":"up arrow with tip left"},"mathspeak":{"sbrief":"U arrow with tip left"}},"key":"21B0"},{"category":"So","mappings":{"default":{"default":"up arrow with tip right"},"mathspeak":{"sbrief":"U arrow with tip right"}},"key":"21B1"},{"category":"So","mappings":{"default":{"default":"down arrow with tip left"},"mathspeak":{"sbrief":"D arrow with tip left"}},"key":"21B2"},{"category":"So","mappings":{"default":{"default":"down arrow with tip right"},"mathspeak":{"sbrief":"D arrow with tip right"}},"key":"21B3"},{"category":"So","mappings":{"default":{"default":"right arrow with corner down"},"mathspeak":{"sbrief":"R arrow with corner down"}},"key":"21B4"},{"category":"So","mappings":{"default":{"default":"down arrow with corner left"},"mathspeak":{"sbrief":"D arrow with corner left"}},"key":"21B5"},{"category":"So","mappings":{"default":{"default":"anticlockwise top semicircle arrow"}},"key":"21B6"},{"category":"So","mappings":{"default":{"default":"clockwise top semicircle arrow"}},"key":"21B7"},{"category":"So","mappings":{"default":{"default":"up left arrow to long bar"},"mathspeak":{"sbrief":"U L arrow to long bar"}},"key":"21B8"},{"category":"So","mappings":{"default":{"default":"left arrow to bar over right arrow to bar"},"mathspeak":{"sbrief":"L arrow to bar over R arrow to bar"}},"key":"21B9"},{"category":"So","mappings":{"default":{"default":"anticlockwise open circle arrow"}},"key":"21BA"},{"category":"So","mappings":{"default":{"default":"clockwise open circle arrow"}},"key":"21BB"},{"category":"So","mappings":{"default":{"default":"right arrow over left arrow"},"mathspeak":{"sbrief":"R arrow over L arrow"}},"key":"21C4"},{"category":"So","mappings":{"default":{"default":"up arrow left of down arrow"},"mathspeak":{"sbrief":"U arrow L of D arrow"}},"key":"21C5"},{"category":"So","mappings":{"default":{"default":"left arrow over right arrow"},"mathspeak":{"sbrief":"L arrow over R arrow"}},"key":"21C6"},{"category":"So","mappings":{"default":{"default":"left paired arrows"},"mathspeak":{"sbrief":"L paired arrows"}},"key":"21C7"},{"category":"So","mappings":{"default":{"default":"up paired arrows"},"mathspeak":{"sbrief":"U paired arrows"}},"key":"21C8"},{"category":"So","mappings":{"default":{"default":"right paired arrows"},"mathspeak":{"sbrief":"R paired arrows"}},"key":"21C9"},{"category":"So","mappings":{"default":{"default":"down paired arrows"},"mathspeak":{"sbrief":"D paired arrows"}},"key":"21CA"},{"category":"So","mappings":{"default":{"default":"left double arrow with stroke"},"mathspeak":{"sbrief":"L double arrow with stroke"}},"key":"21CD"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow with stroke"},"mathspeak":{"sbrief":"L R double arrow with stroke"}},"key":"21CE"},{"category":"Sm","mappings":{"default":{"default":"right double arrow with stroke"},"mathspeak":{"sbrief":"R double arrow with stroke"}},"key":"21CF"},{"category":"So","mappings":{"default":{"default":"left double arrow"},"mathspeak":{"sbrief":"L double arrow"}},"key":"21D0"},{"category":"So","mappings":{"default":{"default":"up double arrow"},"mathspeak":{"sbrief":"U double arrow"}},"key":"21D1"},{"category":"Sm","mappings":{"default":{"default":"right double arrow"},"mathspeak":{"sbrief":"R double arrow"}},"key":"21D2"},{"category":"So","mappings":{"default":{"default":"down double arrow"},"mathspeak":{"sbrief":"d double arrow"}},"key":"21D3"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow"},"mathspeak":{"sbrief":"L R double arrow"}},"key":"21D4"},{"category":"So","mappings":{"default":{"default":"up down double arrow"},"mathspeak":{"sbrief":"U d double arrow"}},"key":"21D5"},{"category":"So","mappings":{"default":{"default":"up left double arrow"},"mathspeak":{"sbrief":"U L double arrow"}},"key":"21D6"},{"category":"So","mappings":{"default":{"default":"up right double arrow"},"mathspeak":{"sbrief":"U R double arrow"}},"key":"21D7"},{"category":"So","mappings":{"default":{"default":"down right double arrow"},"mathspeak":{"sbrief":"d R double arrow"}},"key":"21D8"},{"category":"So","mappings":{"default":{"default":"down left double arrow"},"mathspeak":{"sbrief":"d L double arrow"}},"key":"21D9"},{"category":"So","mappings":{"default":{"default":"left triple arrow"},"mathspeak":{"sbrief":"L triple arrow"}},"key":"21DA"},{"category":"So","mappings":{"default":{"default":"right triple arrow"},"mathspeak":{"sbrief":"r triple arrow"}},"key":"21DB"},{"category":"So","mappings":{"default":{"default":"left squiggle arrow"},"mathspeak":{"sbrief":"L squiggle arrow"}},"key":"21DC"},{"category":"So","mappings":{"default":{"default":"right squiggle arrow"},"mathspeak":{"sbrief":"r squiggle arrow"}},"key":"21DD"},{"category":"So","mappings":{"default":{"default":"up arrow with double stroke"},"mathspeak":{"sbrief":"U arrow with double stroke"}},"key":"21DE"},{"category":"So","mappings":{"default":{"default":"down arrow with double stroke"},"mathspeak":{"sbrief":"D arrow with double stroke"}},"key":"21DF"},{"category":"So","mappings":{"default":{"default":"left dasheD arrow"},"mathspeak":{"sbrief":"L dasheD arrow"}},"key":"21E0"},{"category":"So","mappings":{"default":{"default":"up dasheD arrow"},"mathspeak":{"sbrief":"U dasheD arrow"}},"key":"21E1"},{"category":"So","mappings":{"default":{"default":"right dasheD arrow"},"mathspeak":{"sbrief":"r dasheD arrow"}},"key":"21E2"},{"category":"So","mappings":{"default":{"default":"down dasheD arrow"},"mathspeak":{"sbrief":"d dasheD arrow"}},"key":"21E3"},{"category":"So","mappings":{"default":{"default":"left arrow to bar"},"mathspeak":{"sbrief":"L arrow to bar"}},"key":"21E4"},{"category":"So","mappings":{"default":{"default":"right arrow to bar"},"mathspeak":{"sbrief":"R arrow to bar"}},"key":"21E5"},{"category":"So","mappings":{"default":{"default":"white left arrow"},"mathspeak":{"sbrief":"white L arrow"}},"key":"21E6"},{"category":"So","mappings":{"default":{"default":"white up arrow"},"mathspeak":{"sbrief":"white U arrow"}},"key":"21E7"},{"category":"So","mappings":{"default":{"default":"white right arrow"},"mathspeak":{"sbrief":"white R arrow"}},"key":"21E8"},{"category":"So","mappings":{"default":{"default":"white down arrow"},"mathspeak":{"sbrief":"white D arrow"}},"key":"21E9"},{"category":"So","mappings":{"default":{"default":"white up arrow from bar"},"mathspeak":{"sbrief":"white U arrow from bar"}},"key":"21EA"},{"category":"So","mappings":{"default":{"default":"white up arrow on pedestal"},"mathspeak":{"sbrief":"white U arrow on pedestal"}},"key":"21EB"},{"category":"So","mappings":{"default":{"default":"white up arrow on pedestal with horizontal bar"},"mathspeak":{"sbrief":"white U arrow on pedestal with horizontal bar"}},"key":"21EC"},{"category":"So","mappings":{"default":{"default":"white up arrow on pedestal with vertical bar"},"mathspeak":{"sbrief":"white U arrow on pedestal with vertical bar"}},"key":"21ED"},{"category":"So","mappings":{"default":{"default":"white double up arrow"},"mathspeak":{"sbrief":"white double U arrow"}},"key":"21EE"},{"category":"So","mappings":{"default":{"default":"white double up arrow on pedestal"},"mathspeak":{"sbrief":"white double U arrow on pedestal"}},"key":"21EF"},{"category":"So","mappings":{"default":{"default":"white right arrow from wall"},"mathspeak":{"sbrief":"white R arrow from wall"}},"key":"21F0"},{"category":"So","mappings":{"default":{"default":"north west arrow to corner"}},"key":"21F1"},{"category":"So","mappings":{"default":{"default":"south east arrow to corner"}},"key":"21F2"},{"category":"So","mappings":{"default":{"default":"up down white arrow"},"mathspeak":{"sbrief":"U d white arrow"}},"key":"21F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with small circle"},"mathspeak":{"sbrief":"R arrow with small circle"}},"key":"21F4"},{"category":"Sm","mappings":{"default":{"default":"down arrow left of up arrow"},"mathspeak":{"sbrief":"D arrow l of U arrow"}},"key":"21F5"},{"category":"Sm","mappings":{"default":{"default":"three right arrows"},"mathspeak":{"sbrief":"three R arrows"}},"key":"21F6"},{"category":"Sm","mappings":{"default":{"default":"left arrow with vertical stroke"},"mathspeak":{"sbrief":"L arrow with vertical stroke"}},"key":"21F7"},{"category":"Sm","mappings":{"default":{"default":"right arrow with vertical stroke"},"mathspeak":{"sbrief":"R arrow with vertical stroke"}},"key":"21F8"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with vertical stroke"},"mathspeak":{"sbrief":"L R arrow with vertical stroke"}},"key":"21F9"},{"category":"Sm","mappings":{"default":{"default":"left arrow with double vertical stroke"},"mathspeak":{"sbrief":"L arrow with double vertical stroke"}},"key":"21FA"},{"category":"Sm","mappings":{"default":{"default":"right arrow with double vertical stroke"},"mathspeak":{"sbrief":"R arrow with double vertical stroke"}},"key":"21FB"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with double vertical stroke"},"mathspeak":{"sbrief":"L R arrow with double vertical stroke"}},"key":"21FC"},{"category":"Sm","mappings":{"default":{"default":"left open headed arrow"},"mathspeak":{"sbrief":"l open headed arrow"}},"key":"21FD"},{"category":"Sm","mappings":{"default":{"default":"right open headed arrow"},"mathspeak":{"sbrief":"r open headed arrow"}},"key":"21FE"},{"category":"Sm","mappings":{"default":{"default":"left right open headed arrow"},"mathspeak":{"sbrief":"L R open headed arrow"}},"key":"21FF"},{"category":"So","mappings":{"default":{"default":"electric arrow"}},"key":"2301"},{"category":"So","mappings":{"default":{"default":"up arrowhead"},"mathspeak":{"sbrief":"U arrowhead"}},"key":"2303"},{"category":"So","mappings":{"default":{"default":"down arrowhead"},"mathspeak":{"sbrief":"D arrowhead"}},"key":"2304"},{"category":"So","mappings":{"default":{"default":"up arrowhead between two horizontal bars","alternative":"enter key"},"mathspeak":{"sbrief":"U arrowhead between two horizontal bars"}},"key":"2324"},{"category":"So","mappings":{"default":{"default":"broken circle with northwest arrow"}},"key":"238B"},{"category":"So","mappings":{"default":{"default":"heavy wide headed right arrow"},"mathspeak":{"sbrief":"heavy wide headed R arrow"}},"key":"2794"},{"category":"So","mappings":{"default":{"default":"heavy down right arrow"},"mathspeak":{"sbrief":"heavy d R arrow"}},"key":"2798"},{"category":"So","mappings":{"default":{"default":"heavy right arrow"},"mathspeak":{"sbrief":"heavy R arrow"}},"key":"2799"},{"category":"So","mappings":{"default":{"default":"heavy up right arrow"},"mathspeak":{"sbrief":"heavy U R arrow"}},"key":"279A"},{"category":"So","mappings":{"default":{"default":"drafting point right arrow"},"mathspeak":{"sbrief":"drafting point R arrow"}},"key":"279B"},{"category":"So","mappings":{"default":{"default":"heavy round tipped right arrow"},"mathspeak":{"sbrief":"heavy round tipped R arrow"}},"key":"279C"},{"category":"So","mappings":{"default":{"default":"triangle headed right arrow"},"mathspeak":{"sbrief":"triangle headed R arrow"}},"key":"279D"},{"category":"So","mappings":{"default":{"default":"heavy triangle headed right arrow"},"mathspeak":{"sbrief":"heavy triangle headed R arrow"}},"key":"279E"},{"category":"So","mappings":{"default":{"default":"dashed triangle headed right arrow"},"mathspeak":{"sbrief":"dashed triangle headed R arrow"}},"key":"279F"},{"category":"So","mappings":{"default":{"default":"heavy dashed triangle headed right arrow"},"mathspeak":{"sbrief":"heavy dashed triangle headed R arrow"}},"key":"27A0"},{"category":"So","mappings":{"default":{"default":"black right arrow"},"mathspeak":{"sbrief":"black R arrow"}},"key":"27A1"},{"category":"So","mappings":{"default":{"default":"three d top lighted right arrowhead"},"mathspeak":{"sbrief":"three d top lighted R arrowhead"}},"key":"27A2"},{"category":"So","mappings":{"default":{"default":"three d bottom lighted right arrowhead"},"mathspeak":{"sbrief":"three d bottom lighted R arrowhead"}},"key":"27A3"},{"category":"So","mappings":{"default":{"default":"black right arrowhead"},"mathspeak":{"sbrief":"black R arrowhead"}},"key":"27A4"},{"category":"So","mappings":{"default":{"default":"heavy black curved down and right arrow"},"mathspeak":{"sbrief":"heavy black curved d and R arrow"}},"key":"27A5"},{"category":"So","mappings":{"default":{"default":"heavy black curved up and right arrow"},"mathspeak":{"sbrief":"heavy black curved U and R arrow"}},"key":"27A6"},{"category":"So","mappings":{"default":{"default":"squat black right arrow"},"mathspeak":{"sbrief":"squat black R arrow"}},"key":"27A7"},{"category":"So","mappings":{"default":{"default":"heavy concave pointed black right arrow"},"mathspeak":{"sbrief":"heavy concave pointed black R arrow"}},"key":"27A8"},{"category":"So","mappings":{"default":{"default":"right shaded white right arrow"},"mathspeak":{"sbrief":"right shaded white R arrow"}},"key":"27A9"},{"category":"So","mappings":{"default":{"default":"left shaded white right arrow"},"mathspeak":{"sbrief":"left shaded white R arrow"}},"key":"27AA"},{"category":"So","mappings":{"default":{"default":"back tilted shadowed white right arrow"},"mathspeak":{"sbrief":"back tilted shadowed white R arrow"}},"key":"27AB"},{"category":"So","mappings":{"default":{"default":"front tilted shadowed white right arrow"},"mathspeak":{"sbrief":"front tilted shadowed white R arrow"}},"key":"27AC"},{"category":"So","mappings":{"default":{"default":"heavy lower right shadowed white right arrow"},"mathspeak":{"sbrief":"heavy lower right shadowed white R arrow"}},"key":"27AD"},{"category":"So","mappings":{"default":{"default":"heavy upper right shadowed white right arrow"},"mathspeak":{"sbrief":"heavy upper right shadowed white R arrow"}},"key":"27AE"},{"category":"So","mappings":{"default":{"default":"notched lower right shadowed white right arrow"},"mathspeak":{"sbrief":"notched lower right shadowed white R arrow"}},"key":"27AF"},{"category":"So","mappings":{"default":{"default":"notched upper right shadowed white right arrow"},"mathspeak":{"sbrief":"notched upper right shadowed white R arrow"}},"key":"27B1"},{"category":"So","mappings":{"default":{"default":"circled heavy white right arrow"},"mathspeak":{"sbrief":"circled heavy white R arrow"}},"key":"27B2"},{"category":"So","mappings":{"default":{"default":"white feathered right arrow"},"mathspeak":{"sbrief":"white feathered R arrow"}},"key":"27B3"},{"category":"So","mappings":{"default":{"default":"black feathered down right arrow"},"mathspeak":{"sbrief":"black feathered d R arrow"}},"key":"27B4"},{"category":"So","mappings":{"default":{"default":"black feathered right arrow"},"mathspeak":{"sbrief":"black feathered R arrow"}},"key":"27B5"},{"category":"So","mappings":{"default":{"default":"black feathered up right arrow"},"mathspeak":{"sbrief":"black feathered U R arrow"}},"key":"27B6"},{"category":"So","mappings":{"default":{"default":"heavy black feathered down right arrow"},"mathspeak":{"sbrief":"heavy black feathered d R arrow"}},"key":"27B7"},{"category":"So","mappings":{"default":{"default":"heavy black feathered right arrow"},"mathspeak":{"sbrief":"heavy black feathered R arrow"}},"key":"27B8"},{"category":"So","mappings":{"default":{"default":"heavy black feathered up right arrow"},"mathspeak":{"sbrief":"heavy black feathered U R arrow"}},"key":"27B9"},{"category":"So","mappings":{"default":{"default":"teardrop barbed right arrow"},"mathspeak":{"sbrief":"teardrop barbed R arrow"}},"key":"27BA"},{"category":"So","mappings":{"default":{"default":"heavy teardrop shanked right arrow"},"mathspeak":{"sbrief":"heavy teardrop shanked R arrow"}},"key":"27BB"},{"category":"So","mappings":{"default":{"default":"wedge tailed right arrow"},"mathspeak":{"sbrief":"wedge tailed R arrow"}},"key":"27BC"},{"category":"So","mappings":{"default":{"default":"heavy wedge tailed right arrow"},"mathspeak":{"sbrief":"heavy wedge tailed R arrow"}},"key":"27BD"},{"category":"So","mappings":{"default":{"default":"open outlined right arrow"},"mathspeak":{"sbrief":"open outlined R arrow"}},"key":"27BE"},{"category":"Sm","mappings":{"default":{"default":"up quadruple arrow"},"mathspeak":{"sbrief":"U quadruple arrow"}},"key":"27F0"},{"category":"Sm","mappings":{"default":{"default":"down quadruple arrow"},"mathspeak":{"sbrief":"d quadrule arrow"}},"key":"27F1"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise gapped circle arrow"}},"key":"27F2"},{"category":"Sm","mappings":{"default":{"default":"clockwise gapped circle arrow"}},"key":"27F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with circled plus"},"mathspeak":{"sbrief":"R arrow with circled plus"}},"key":"27F4"},{"category":"Sm","mappings":{"default":{"default":"long left arrow"},"mathspeak":{"sbrief":"long L arrow"}},"key":"27F5"},{"category":"Sm","mappings":{"default":{"default":"long right arrow"},"mathspeak":{"sbrief":"long R arrow"}},"key":"27F6"},{"category":"Sm","mappings":{"default":{"default":"long left right arrow"},"mathspeak":{"sbrief":"long L R arrow"}},"key":"27F7"},{"category":"Sm","mappings":{"default":{"default":"long left double arrow"},"mathspeak":{"sbrief":"long l double arrow"}},"key":"27F8"},{"category":"Sm","mappings":{"default":{"default":"long right double arrow"},"mathspeak":{"sbrief":"long R double arrow"}},"key":"27F9"},{"category":"Sm","mappings":{"default":{"default":"long left right double arrow"},"mathspeak":{"sbrief":"long L R double arrow"}},"key":"27FA"},{"category":"Sm","mappings":{"default":{"default":"long left arrow from bar"},"mathspeak":{"sbrief":"long L arrow from bar"}},"key":"27FB"},{"category":"Sm","mappings":{"default":{"default":"long right arrow from bar"},"mathspeak":{"sbrief":"long R arrow from bar"}},"key":"27FC"},{"category":"Sm","mappings":{"default":{"default":"long left double arrow from bar"},"mathspeak":{"sbrief":"long l double arrow from bar"}},"key":"27FD"},{"category":"Sm","mappings":{"default":{"default":"long right double arrow from bar"},"mathspeak":{"sbrief":"long R double arrow from bar"}},"key":"27FE"},{"category":"Sm","mappings":{"default":{"default":"long right squiggle arrow"},"mathspeak":{"sbrief":"long r squiggle arrow"}},"key":"27FF"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow with vertical stroke"},"mathspeak":{"sbrief":"two headed R arrow with vertical stroke"}},"key":"2900"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow with double vertical stroke"},"mathspeak":{"sbrief":"two headed R arrow with double vertical stroke"}},"key":"2901"},{"category":"Sm","mappings":{"default":{"default":"double left arrow with vertical stroke"},"mathspeak":{"sbrief":"double L arrow with vertical stroke"}},"key":"2902"},{"category":"Sm","mappings":{"default":{"default":"double right arrow with vertical stroke"},"mathspeak":{"sbrief":"double R arrow with vertical stroke"}},"key":"2903"},{"category":"Sm","mappings":{"default":{"default":"double left right arrow with vertical stroke"},"mathspeak":{"sbrief":"double L R arrow with vertical stroke"}},"key":"2904"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow from bar"},"mathspeak":{"sbrief":"two headed R arrow from bar"}},"key":"2905"},{"category":"Sm","mappings":{"default":{"default":"double left arrow from bar"},"mathspeak":{"sbrief":"double L arrow from bar"}},"key":"2906"},{"category":"Sm","mappings":{"default":{"default":"double right arrow from bar"},"mathspeak":{"sbrief":"double R arrow from bar"}},"key":"2907"},{"category":"Sm","mappings":{"default":{"default":"arrow down with horizontal stroke"}},"key":"2908"},{"category":"Sm","mappings":{"default":{"default":"up arrow with horizontal stroke"},"mathspeak":{"sbrief":"U arrow with horizontal stroke"}},"key":"2909"},{"category":"Sm","mappings":{"default":{"default":"up triple arrow"},"mathspeak":{"sbrief":"U triple arrow"}},"key":"290A"},{"category":"Sm","mappings":{"default":{"default":"down triple arrow"},"mathspeak":{"sbrief":"d triple arrow"}},"key":"290B"},{"category":"Sm","mappings":{"default":{"default":"left double dash arrow"},"mathspeak":{"sbrief":"l double dash arrow"}},"key":"290C"},{"category":"Sm","mappings":{"default":{"default":"right double dash arrow"},"mathspeak":{"sbrief":"R double dash arrow"}},"key":"290D"},{"category":"Sm","mappings":{"default":{"default":"left triple dash arrow"},"mathspeak":{"sbrief":"l triple dash arrow"}},"key":"290E"},{"category":"Sm","mappings":{"default":{"default":"right triple dash arrow"},"mathspeak":{"sbrief":"r triple dash arrow"}},"key":"290F"},{"category":"Sm","mappings":{"default":{"default":"right two headed triple dash arrow"},"mathspeak":{"sbrief":"r two headed triple dash arrow"}},"key":"2910"},{"category":"Sm","mappings":{"default":{"default":"right arrow with dotted stem"},"mathspeak":{"sbrief":"R arrow with dotted stem"}},"key":"2911"},{"category":"Sm","mappings":{"default":{"default":"up arrow to bar"},"mathspeak":{"sbrief":"U arrow to bar"}},"key":"2912"},{"category":"Sm","mappings":{"default":{"default":"down arrow to bar"},"mathspeak":{"sbrief":"D arrow to bar"}},"key":"2913"},{"category":"Sm","mappings":{"default":{"default":"right arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"R arrow with tail with vertical stroke"}},"key":"2914"},{"category":"Sm","mappings":{"default":{"default":"right arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"R arrow with tail with double vertical stroke"}},"key":"2915"},{"category":"Sm","mappings":{"default":{"default":"right two headed arrow with tail"},"mathspeak":{"sbrief":"r two headed arrow with tail"}},"key":"2916"},{"category":"Sm","mappings":{"default":{"default":"right two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with vertical stroke"}},"key":"2917"},{"category":"Sm","mappings":{"default":{"default":"right two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with double vertical stroke"}},"key":"2918"},{"category":"Sm","mappings":{"default":{"default":"left arrow tail"},"mathspeak":{"sbrief":"L arrow tail"}},"key":"2919"},{"category":"Sm","mappings":{"default":{"default":"right arrow tail"},"mathspeak":{"sbrief":"R arrow tail"}},"key":"291A"},{"category":"Sm","mappings":{"default":{"default":"left double arrow tail"},"mathspeak":{"sbrief":"l double arrow tail"}},"key":"291B"},{"category":"Sm","mappings":{"default":{"default":"right double arrow tail"},"mathspeak":{"sbrief":"R double arrow tail"}},"key":"291C"},{"category":"Sm","mappings":{"default":{"default":"left arrow to black diamond"},"mathspeak":{"sbrief":"L arrow to black diamond"}},"key":"291D"},{"category":"Sm","mappings":{"default":{"default":"right arrow to black diamond"},"mathspeak":{"sbrief":"R arrow to black diamond"}},"key":"291E"},{"category":"Sm","mappings":{"default":{"default":"left arrow from bar to black diamond"},"mathspeak":{"sbrief":"L arrow from bar to black diamond"}},"key":"291F"},{"category":"Sm","mappings":{"default":{"default":"right arrow from bar to black diamond"},"mathspeak":{"sbrief":"R arrow from bar to black diamond"}},"key":"2920"},{"category":"Sm","mappings":{"default":{"default":"north west and south east arrow"}},"key":"2921"},{"category":"Sm","mappings":{"default":{"default":"north east and south west arrow"}},"key":"2922"},{"category":"Sm","mappings":{"default":{"default":"north west arrow with hook"}},"key":"2923"},{"category":"Sm","mappings":{"default":{"default":"north east arrow with hook"}},"key":"2924"},{"category":"Sm","mappings":{"default":{"default":"south east arrow with hook"}},"key":"2925"},{"category":"Sm","mappings":{"default":{"default":"south west arrow with hook"}},"key":"2926"},{"category":"Sm","mappings":{"default":{"default":"north west arrow and north east arrow"}},"key":"2927"},{"category":"Sm","mappings":{"default":{"default":"north east arrow and south east arrow"}},"key":"2928"},{"category":"Sm","mappings":{"default":{"default":"south east arrow and south west arrow"}},"key":"2929"},{"category":"Sm","mappings":{"default":{"default":"south west arrow and north west arrow"}},"key":"292A"},{"category":"Sm","mappings":{"default":{"default":"south east arrow crossing north east arrow"}},"key":"292D"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing south east arrow"}},"key":"292E"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing north east arrow"}},"key":"292F"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing south east arrow"}},"key":"2930"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing north west arrow"}},"key":"2931"},{"category":"Sm","mappings":{"default":{"default":"north west arrow crossing north east arrow"}},"key":"2932"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly right"}},"key":"2933"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing right then curving up"}},"key":"2934"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing right then curving down"}},"key":"2935"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing down then curving left"}},"key":"2936"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing down then curving right"}},"key":"2937"},{"category":"Sm","mappings":{"default":{"default":"right side arc clockwise arrow"},"mathspeak":{"sbrief":"r side arc clockwise arrow"}},"key":"2938"},{"category":"Sm","mappings":{"default":{"default":"left side arc anticlockwise arrow"},"mathspeak":{"sbrief":"l side arc anticlockwise arrow"}},"key":"2939"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow"}},"key":"293A"},{"category":"Sm","mappings":{"default":{"default":"bottom arc anticlockwise arrow"}},"key":"293B"},{"category":"Sm","mappings":{"default":{"default":"top arc clockwise arrow with minus"}},"key":"293C"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow with plus"}},"key":"293D"},{"category":"Sm","mappings":{"default":{"default":"down right semicircular clockwise arrow"},"mathspeak":{"sbrief":"d r semicircular clockwise arrow"}},"key":"293E"},{"category":"Sm","mappings":{"default":{"default":"down left semicircular anticlockwise arrow"},"mathspeak":{"sbrief":"d l semicircular anticlockwise arrow"}},"key":"293F"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise closed circle arrow"}},"key":"2940"},{"category":"Sm","mappings":{"default":{"default":"clockwise closed circle arrow"}},"key":"2941"},{"category":"Sm","mappings":{"default":{"default":"right arrow above short left arrow"},"mathspeak":{"sbrief":"R arrow above short L arrow"}},"key":"2942"},{"category":"Sm","mappings":{"default":{"default":"left arrow above short right arrow"},"mathspeak":{"sbrief":"L arrow above short R arrow"}},"key":"2943"},{"category":"Sm","mappings":{"default":{"default":"short right arrow above left arrow"},"mathspeak":{"sbrief":"short R arrow above L arrow"}},"key":"2944"},{"category":"Sm","mappings":{"default":{"default":"right arrow with plus below"},"mathspeak":{"sbrief":"R arrow with plus below"}},"key":"2945"},{"category":"Sm","mappings":{"default":{"default":"left arrow with plus below"},"mathspeak":{"sbrief":"L arrow with plus below"}},"key":"2946"},{"category":"Sm","mappings":{"default":{"default":"right arrow through x"},"mathspeak":{"sbrief":"R arrow through x"}},"key":"2947"},{"category":"Sm","mappings":{"default":{"default":"left right arrow through small circle"},"mathspeak":{"sbrief":"L R arrow through small circle"}},"key":"2948"},{"category":"Sm","mappings":{"default":{"default":"up two headed arrow from small circle"},"mathspeak":{"sbrief":"U two headed arrow from small circle"}},"key":"2949"},{"category":"Sm","mappings":{"default":{"default":"right double arrow with rounded head"},"mathspeak":{"sbrief":"R double arrow with rounded head"}},"key":"2970"},{"category":"Sm","mappings":{"default":{"default":"equals sign above right arrow"},"mathspeak":{"sbrief":"equals sign above R arrow"}},"key":"2971"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above right arrow"},"mathspeak":{"sbrief":"tilde operator above R arrow"}},"key":"2972"},{"category":"Sm","mappings":{"default":{"default":"left arrow above tilde operator"},"mathspeak":{"sbrief":"L arrow above tilde operator"}},"key":"2973"},{"category":"Sm","mappings":{"default":{"default":"right arrow above tilde operator"},"mathspeak":{"sbrief":"R arrow above tilde operator"}},"key":"2974"},{"category":"Sm","mappings":{"default":{"default":"right arrow above almost equals"},"mathspeak":{"sbrief":"R arrow above almost equals"}},"key":"2975"},{"category":"Sm","mappings":{"default":{"default":"less than above left arrow"},"mathspeak":{"sbrief":"less than above L arrow"}},"key":"2976"},{"category":"Sm","mappings":{"default":{"default":"left arrow through less than"},"mathspeak":{"sbrief":"L arrow through less than"}},"key":"2977"},{"category":"Sm","mappings":{"default":{"default":"greater than above right arrow"},"mathspeak":{"sbrief":"greater than above R arrow"}},"key":"2978"},{"category":"Sm","mappings":{"default":{"default":"subset above right arrow"},"mathspeak":{"sbrief":"subset above R arrow"}},"key":"2979"},{"category":"Sm","mappings":{"default":{"default":"left arrow through subset"},"mathspeak":{"sbrief":"L arrow through subset"}},"key":"297A"},{"category":"Sm","mappings":{"default":{"default":"superset above left arrow"},"mathspeak":{"sbrief":"suerset above L arrow"}},"key":"297B"},{"category":"Sm","mappings":{"default":{"default":"empty set with right arrow above"},"mathspeak":{"sbrief":"empty set with R arrow above"}},"key":"29B3"},{"category":"Sm","mappings":{"default":{"default":"empty set with left arrow above"},"mathspeak":{"sbrief":"empty set with L arrow above"}},"key":"29B4"},{"category":"Sm","mappings":{"default":{"default":"up arrow through circle"},"mathspeak":{"sbrief":"U arrow through circle"}},"key":"29BD"},{"category":"Sm","mappings":{"default":{"default":"black diamond with down arrow"},"mathspeak":{"sbrief":"black diamond with D arrow"}},"key":"29EA"},{"category":"Sm","mappings":{"default":{"default":"white circle with down arrow"},"mathspeak":{"sbrief":"white circle with D arrow"}},"key":"29EC"},{"category":"Sm","mappings":{"default":{"default":"black circle with down arrow"},"mathspeak":{"sbrief":"black circle with D arrow"}},"key":"29ED"},{"category":"Sm","mappings":{"default":{"default":"integral with left arrow with hook"},"mathspeak":{"sbrief":"integral with L arrow with hook"}},"key":"2A17"},{"category":"So","mappings":{"default":{"default":"north east white arrow"}},"key":"2B00"},{"category":"So","mappings":{"default":{"default":"north west white arrow"}},"key":"2B01"},{"category":"So","mappings":{"default":{"default":"south east white arrow"}},"key":"2B02"},{"category":"So","mappings":{"default":{"default":"south west white arrow"}},"key":"2B03"},{"category":"So","mappings":{"default":{"default":"left right white arrow"},"mathspeak":{"sbrief":"L R white arrow"}},"key":"2B04"},{"category":"So","mappings":{"default":{"default":"left black arrow"},"mathspeak":{"sbrief":"L black arrow"}},"key":"2B05"},{"category":"So","mappings":{"default":{"default":"up black arrow"},"mathspeak":{"sbrief":"U black arrow"}},"key":"2B06"},{"category":"So","mappings":{"default":{"default":"down black arrow"},"mathspeak":{"sbrief":"D black arrow"}},"key":"2B07"},{"category":"So","mappings":{"default":{"default":"north east black arrow"}},"key":"2B08"},{"category":"So","mappings":{"default":{"default":"north west black arrow"}},"key":"2B09"},{"category":"So","mappings":{"default":{"default":"south east black arrow"}},"key":"2B0A"},{"category":"So","mappings":{"default":{"default":"south west black arrow"}},"key":"2B0B"},{"category":"So","mappings":{"default":{"default":"left right black arrow"},"mathspeak":{"sbrief":"L R black arrow"}},"key":"2B0C"},{"category":"So","mappings":{"default":{"default":"up down black arrow"},"mathspeak":{"sbrief":"U D black arrow"}},"key":"2B0D"},{"category":"So","mappings":{"default":{"default":"right arrow with tip down"},"mathspeak":{"sbrief":"R arrow with tip down"}},"key":"2B0E"},{"category":"So","mappings":{"default":{"default":"right arrow with tip up"},"mathspeak":{"sbrief":"R arrow with tip up"}},"key":"2B0F"},{"category":"So","mappings":{"default":{"default":"left arrow with tip down"},"mathspeak":{"sbrief":"L arrow with tip down"}},"key":"2B10"},{"category":"So","mappings":{"default":{"default":"left arrow with tip up"},"mathspeak":{"sbrief":"L arrow with tip up"}},"key":"2B11"},{"category":"Sm","mappings":{"default":{"default":"left arrow with small circle"},"mathspeak":{"sbrief":"L arrow with small circle"}},"key":"2B30"},{"category":"Sm","mappings":{"default":{"default":"three left arrows"},"mathspeak":{"sbrief":"three L arrows"}},"key":"2B31"},{"category":"Sm","mappings":{"default":{"default":"left arrow with circled plus"},"mathspeak":{"sbrief":"L arrow with circled plus"}},"key":"2B32"},{"category":"Sm","mappings":{"default":{"default":"long left squiggle arrow"},"mathspeak":{"sbrief":"long l squiggle arrow"}},"key":"2B33"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with vertical stroke"}},"key":"2B34"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with double vertical stroke"}},"key":"2B35"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow from bar"},"mathspeak":{"sbrief":"l two headed arrow from bar"}},"key":"2B36"},{"category":"Sm","mappings":{"default":{"default":"left two headed triple dash arrow"},"mathspeak":{"sbrief":"l two headed triple dash arrow"}},"key":"2B37"},{"category":"Sm","mappings":{"default":{"default":"left arrow with dotted stem"},"mathspeak":{"sbrief":"L arrow with dotted stem"}},"key":"2B38"},{"category":"Sm","mappings":{"default":{"default":"left arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"L arrow with tail with vertical stroke"}},"key":"2B39"},{"category":"Sm","mappings":{"default":{"default":"left arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"L arrow with tail with double vertical stroke"}},"key":"2B3A"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with tail"},"mathspeak":{"sbrief":"l two headed arrow with tail"}},"key":"2B3B"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with vertical stroke"}},"key":"2B3C"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with double vertical stroke"}},"key":"2B3D"},{"category":"Sm","mappings":{"default":{"default":"left arrow through x"},"mathspeak":{"sbrief":"L arrow through x"}},"key":"2B3E"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly left"}},"key":"2B3F"},{"category":"Sm","mappings":{"default":{"default":"equals sign above left arrow"},"mathspeak":{"sbrief":"equals sign above L arrow"}},"key":"2B40"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above left arrow"},"mathspeak":{"sbrief":"reverse tilde operator above L arrow"}},"key":"2B41"},{"category":"Sm","mappings":{"default":{"default":"left arrow above reverse almost equals"},"mathspeak":{"sbrief":"L arrow above reverse almost equals"}},"key":"2B42"},{"category":"Sm","mappings":{"default":{"default":"right arrow through greater than"},"mathspeak":{"sbrief":"R arrow through greater than"}},"key":"2B43"},{"category":"Sm","mappings":{"default":{"default":"right arrow through superset"},"mathspeak":{"sbrief":"R arrow through superset"}},"key":"2B44"},{"category":"So","mappings":{"default":{"default":"left quadruple arrow"},"mathspeak":{"sbrief":"l quadrule arrow"}},"key":"2B45"},{"category":"So","mappings":{"default":{"default":"right quadruple arrow"},"mathspeak":{"sbrief":"r quadrule arrow"}},"key":"2B46"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above right arrow"},"mathspeak":{"sbrief":"reverse tilde operator above R arrow"}},"key":"2B47"},{"category":"Sm","mappings":{"default":{"default":"right arrow above reverse almost equals"},"mathspeak":{"sbrief":"R arrow above reverse almost equals"}},"key":"2B48"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above left arrow"},"mathspeak":{"sbrief":"tilde operator above L arrow"}},"key":"2B49"},{"category":"Sm","mappings":{"default":{"default":"left arrow above almost equals"},"mathspeak":{"sbrief":"L arrow above almost equals"}},"key":"2B4A"},{"category":"Sm","mappings":{"default":{"default":"left arrow above reverse tilde operator"},"mathspeak":{"sbrief":"L arrow above reverse tilde operator"}},"key":"2B4B"},{"category":"Sm","mappings":{"default":{"default":"right arrow above reverse tilde operator"},"mathspeak":{"sbrief":"R arrow above reverse tilde operator"}},"key":"2B4C"},{"category":"Sm","mappings":{"default":{"default":"halfwidth left arrow"},"mathspeak":{"sbrief":"halfwidth L arrow"}},"key":"FFE9"},{"category":"Sm","mappings":{"default":{"default":"halfwidth up arrow"},"mathspeak":{"sbrief":"halfwidth U arrow"}},"key":"FFEA"},{"category":"Sm","mappings":{"default":{"default":"halfwidth right arrow"},"mathspeak":{"sbrief":"halfwidth R arrow"}},"key":"FFEB"},{"category":"Sm","mappings":{"default":{"default":"halfwidth down arrow"},"mathspeak":{"sbrief":"halfwidth D arrow"}},"key":"FFEC"}]
+,
+"en/symbols/math_characters.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"script l"}},"key":"2113"},{"category":"Sm","mappings":{"default":{"default":"script cap P"},"mathspeak":{"default":"script upper P"}},"key":"2118"},{"category":"Ll","mappings":{"default":{"default":"double struck pi"}},"key":"213C"},{"category":"Ll","mappings":{"default":{"default":"double struck gamma"}},"key":"213D"},{"category":"Lu","mappings":{"default":{"default":"double struck cap Gamma"},"mathspeak":{"default":"double struck upper Gamma"}},"key":"213E"},{"category":"Lu","mappings":{"default":{"default":"double struck cap Pi"},"mathspeak":{"default":"double struck upper Pi"}},"key":"213F"},{"category":"Sm","mappings":{"default":{"default":"double struck sum"},"mathspeak":{"default":"double struck sigma summation"}},"key":"2140"},{"category":"Lu","mappings":{"default":{"default":"double struck italic cap D"},"mathspeak":{"default":"double struck italic upper D"}},"key":"2145"},{"category":"Ll","mappings":{"default":{"default":"double struck italic d"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"double struck italic e"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"double struck italic i"}},"key":"2148"},{"category":"Ll","mappings":{"default":{"default":"double struck italic j"}},"key":"2149"},{"category":"Ll","mappings":{"default":{"default":"italic dotless i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"italic dotless j"}},"key":"1D6A5"}]
+,
+"en/symbols/math_delimiters.js": 
+[{"locale":"en"},{"category":"Ps","mappings":{"default":{"default":"left parenthesis"},"mathspeak":{"brief":"left p'ren","sbrief":"L p'ren"},"clearspeak":{"default":"open paren"}},"key":"0028"},{"category":"Pe","mappings":{"default":{"default":"right parenthesis"},"mathspeak":{"brief":"right p'ren","sbrief":"R p'ren"},"clearspeak":{"default":"close paren"}},"key":"0029"},{"category":"Ps","mappings":{"default":{"default":"left bracket"},"mathspeak":{"brief":"left brack","sbrief":"L brack"},"clearspeak":{"default":"open bracket"}},"key":"005B"},{"category":"Pe","mappings":{"default":{"default":"right bracket"},"mathspeak":{"brief":"right brack","sbrief":"R brack"},"clearspeak":{"default":"close bracket"}},"key":"005D"},{"category":"Ps","mappings":{"default":{"default":"left brace"},"mathspeak":{"sbrief":"L brace"},"clearspeak":{"default":"open brace"}},"key":"007B"},{"category":"Pe","mappings":{"default":{"default":"right brace"},"mathspeak":{"sbrief":"R brace"},"clearspeak":{"default":"close brace"}},"key":"007D"},{"category":"Ps","mappings":{"default":{"default":"left bracket with quill"},"mathspeak":{"brief":"left brack with quill","sbrief":"L brack with quill"}},"key":"2045"},{"category":"Pe","mappings":{"default":{"default":"right bracket with quill"},"mathspeak":{"brief":"right brack with quill","sbrief":"R brack with quill"}},"key":"2046"},{"category":"Sm","mappings":{"default":{"default":"left ceiling"}},"key":"2308"},{"category":"Sm","mappings":{"default":{"default":"right ceiling"}},"key":"2309"},{"category":"Sm","mappings":{"default":{"default":"left floor"}},"key":"230A"},{"category":"Sm","mappings":{"default":{"default":"right floor"}},"key":"230B"},{"category":"So","mappings":{"default":{"default":"bottom right crop"}},"key":"230C"},{"category":"So","mappings":{"default":{"default":"bottom left crop"}},"key":"230D"},{"category":"So","mappings":{"default":{"default":"top right crop"}},"key":"230E"},{"category":"So","mappings":{"default":{"default":"top left crop"}},"key":"230F"},{"category":"So","mappings":{"default":{"default":"top left corner"}},"key":"231C"},{"category":"So","mappings":{"default":{"default":"top right corner"}},"key":"231D"},{"category":"So","mappings":{"default":{"default":"bottom left corner"}},"key":"231E"},{"category":"So","mappings":{"default":{"default":"bottom right corner"}},"key":"231F"},{"category":"Sm","mappings":{"default":{"default":"top half integral"}},"key":"2320"},{"category":"Sm","mappings":{"default":{"default":"bottom half integral"}},"key":"2321"},{"category":"Ps","mappings":{"default":{"default":"left pointing angle bracket","physics":"bra"}},"key":"2329"},{"category":"Pe","mappings":{"default":{"default":"right pointing angle bracket","physics":"ket"}},"key":"232A"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis upper hook"},"mathspeak":{"brief":"left p'ren upper hook","sbrief":"L p'ren upper hook"}},"key":"239B"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis extension"},"mathspeak":{"brief":"left p'ren extension","sbrief":"L p'ren extension"}},"key":"239C"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis lower hook"},"mathspeak":{"brief":"left p'ren lower hook","sbrief":"L p'ren lower hook"}},"key":"239D"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis upper hook"},"mathspeak":{"brief":"right p'ren upper hook","sbrief":"R p'ren upper hook"}},"key":"239E"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis extension"},"mathspeak":{"brief":"right p'ren extension","sbrief":"R p'ren extension"}},"key":"239F"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis lower hook"},"mathspeak":{"brief":"right p'ren lower hook","sbrief":"R p'ren lower hook"}},"key":"23A0"},{"category":"Sm","mappings":{"default":{"default":"left bracket upper corner"},"mathspeak":{"brief":"left brack upper corner","sbrief":"L brack upper corner"}},"key":"23A1"},{"category":"Sm","mappings":{"default":{"default":"left bracket extension"},"mathspeak":{"brief":"left brack extension","sbrief":"L brack extension"}},"key":"23A2"},{"category":"Sm","mappings":{"default":{"default":"left bracket lower corner"},"mathspeak":{"brief":"left brack lower corner","sbrief":"L brack lower corner"}},"key":"23A3"},{"category":"Sm","mappings":{"default":{"default":"right bracket upper corner"},"mathspeak":{"brief":"right brack upper corner","sbrief":"R brack upper corner"}},"key":"23A4"},{"category":"Sm","mappings":{"default":{"default":"right bracket extension"},"mathspeak":{"brief":"right brack extension","sbrief":"R brack extension"}},"key":"23A5"},{"category":"Sm","mappings":{"default":{"default":"right bracket lower corner"},"mathspeak":{"brief":"right brack lower corner","sbrief":"R brack lower corner"}},"key":"23A6"},{"category":"Sm","mappings":{"default":{"default":"left brace upper hook"},"mathspeak":{"sbrief":"L brace upper hook"}},"key":"23A7"},{"category":"Sm","mappings":{"default":{"default":"left brace middle piece"},"mathspeak":{"sbrief":"L brace middle piece"}},"key":"23A8"},{"category":"Sm","mappings":{"default":{"default":"left brace lower hook"},"mathspeak":{"sbrief":"L brace lower hook"}},"key":"23A9"},{"category":"Sm","mappings":{"default":{"default":"brace extension"}},"key":"23AA"},{"category":"Sm","mappings":{"default":{"default":"right brace upper hook"},"mathspeak":{"sbrief":"R brace upper hook"}},"key":"23AB"},{"category":"Sm","mappings":{"default":{"default":"right brace middle piece"},"mathspeak":{"sbrief":"R brace middle piece"}},"key":"23AC"},{"category":"Sm","mappings":{"default":{"default":"right brace lower hook"},"mathspeak":{"sbrief":"R brace lower hook"}},"key":"23AD"},{"category":"Sm","mappings":{"default":{"default":"integral extension"}},"key":"23AE"},{"category":"Sm","mappings":{"default":{"default":"horizontal line extension"}},"key":"23AF"},{"category":"Sm","mappings":{"default":{"default":"upper left or lower right brace section"}},"key":"23B0"},{"category":"Sm","mappings":{"default":{"default":"upper right or lower left brace section"}},"key":"23B1"},{"category":"Sm","mappings":{"default":{"default":"summation top"}},"key":"23B2"},{"category":"Sm","mappings":{"default":{"default":"summation bottom"}},"key":"23B3"},{"category":"So","mappings":{"default":{"default":"top bracket"},"mathspeak":{"brief":"top brack","sbrief":"T brack"}},"key":"23B4"},{"category":"So","mappings":{"default":{"default":"bottom bracket"},"mathspeak":{"brief":"bottom brack","sbrief":"B brack"}},"key":"23B5"},{"category":"So","mappings":{"default":{"default":"bottom bracket over top bracket"},"mathspeak":{"brief":"bottom brack over top brack","sbrief":"B brack over T brack"}},"key":"23B6"},{"category":"So","mappings":{"default":{"default":"radical symbol bottom"}},"key":"23B7"},{"category":"So","mappings":{"default":{"default":"left vertical box line"}},"key":"23B8"},{"category":"So","mappings":{"default":{"default":"right vertical box line"}},"key":"23B9"},{"category":"Sm","mappings":{"default":{"default":"top parenthesis"},"mathspeak":{"brief":"top p'ren","sbrief":"t p'ren"}},"key":"23DC"},{"category":"Sm","mappings":{"default":{"default":"bottom parenthesis"},"mathspeak":{"brief":"bottom p'ren","sbrief":"b p'ren"}},"key":"23DD"},{"category":"Sm","mappings":{"default":{"default":"top brace"},"mathspeak":{"sbrief":"T brace"}},"key":"23DE"},{"category":"Sm","mappings":{"default":{"default":"bottom brace"},"mathspeak":{"sbrief":"B brace"}},"key":"23DF"},{"category":"Sm","mappings":{"default":{"default":"top tortoise shell bracket"}},"key":"23E0"},{"category":"Sm","mappings":{"default":{"default":"bottom tortoise shell bracket"}},"key":"23E1"},{"category":"Ps","mappings":{"default":{"default":"medium left parenthesis ornament"},"mathspeak":{"brief":"medium left p'ren ornament","sbrief":"medium L p'ren ornament"}},"key":"2768"},{"category":"Pe","mappings":{"default":{"default":"medium right parenthesis ornament"},"mathspeak":{"brief":"medium right p'ren ornament","sbrief":"medium R p'ren ornament"}},"key":"2769"},{"category":"Ps","mappings":{"default":{"default":"medium flattened left parenthesis ornament"},"mathspeak":{"brief":"medium flattened left p'ren ornament","sbrief":"medium flattened L p'ren ornament"}},"key":"276A"},{"category":"Pe","mappings":{"default":{"default":"medium flattened right parenthesis ornament"},"mathspeak":{"brief":"medium flattened right p'ren ornament","sbrief":"medium flattened R p'ren ornament"}},"key":"276B"},{"category":"Ps","mappings":{"default":{"default":"medium left pointing angle bracket ornament"}},"key":"276C"},{"category":"Pe","mappings":{"default":{"default":"medium right pointing angle bracket ornament"}},"key":"276D"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle quotation mark ornament"}},"key":"276E"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle quotation mark ornament"}},"key":"276F"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle bracket ornament"}},"key":"2770"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle bracket ornament"}},"key":"2771"},{"category":"Ps","mappings":{"default":{"default":"light left tortoise shell bracket ornament"}},"key":"2772"},{"category":"Pe","mappings":{"default":{"default":"light right tortoise shell bracket ornament"}},"key":"2773"},{"category":"Ps","mappings":{"default":{"default":"medium left brace ornament"},"mathspeak":{"sbrief":"medium L brace ornament"}},"key":"2774"},{"category":"Pe","mappings":{"default":{"default":"medium right brace ornament"},"mathspeak":{"sbrief":"medium R brace ornament"}},"key":"2775"},{"category":"Ps","mappings":{"default":{"default":"left s shaped bag delimiter"}},"key":"27C5"},{"category":"Pe","mappings":{"default":{"default":"right s shaped bag delimiter"}},"key":"27C6"},{"category":"Ps","mappings":{"default":{"default":"left white bracket"}},"key":"27E6"},{"category":"Pe","mappings":{"default":{"default":"right white bracket"}},"key":"27E7"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket"},"mathspeak":{"sbrief":"l angle bracket"}},"key":"27E8"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket"},"mathspeak":{"sbrief":"r angle bracket"}},"key":"27E9"},{"category":"Ps","mappings":{"default":{"default":"left double angle bracket"}},"key":"27EA"},{"category":"Pe","mappings":{"default":{"default":"right double angle bracket"}},"key":"27EB"},{"category":"Ps","mappings":{"default":{"default":"left white tortoise shell bracket"}},"key":"27EC"},{"category":"Pe","mappings":{"default":{"default":"right white tortoise shell bracket"}},"key":"27ED"},{"category":"Ps","mappings":{"default":{"default":"flattened left parenthesis"},"mathspeak":{"brief":"flattened left p'ren","sbrief":"flattened L p'ren"}},"key":"27EE"},{"category":"Pe","mappings":{"default":{"default":"flattened right parenthesis"},"mathspeak":{"brief":"flattened right p'ren","sbrief":"flattened R p'ren"}},"key":"27EF"},{"category":"Ps","mappings":{"default":{"default":"left white brace"}},"key":"2983"},{"category":"Pe","mappings":{"default":{"default":"right white brace"}},"key":"2984"},{"category":"Ps","mappings":{"default":{"default":"white left parenthesis"},"mathspeak":{"brief":"white left p'ren","sbrief":"white L p'ren"}},"key":"2985"},{"category":"Pe","mappings":{"default":{"default":"white right parenthesis"},"mathspeak":{"brief":"white right p'ren","sbrief":"white R p'ren"}},"key":"2986"},{"category":"Ps","mappings":{"default":{"default":"z notation left image bracket"}},"key":"2987"},{"category":"Pe","mappings":{"default":{"default":"z notation right image bracket"}},"key":"2988"},{"category":"Ps","mappings":{"default":{"default":"z notation left binding bracket"}},"key":"2989"},{"category":"Pe","mappings":{"default":{"default":"z notation right binding bracket"}},"key":"298A"},{"category":"Ps","mappings":{"default":{"default":"left bracket with underbar"},"mathspeak":{"brief":"left brack with underbar","sbrief":"L brack with underbar"}},"key":"298B"},{"category":"Pe","mappings":{"default":{"default":"right bracket with underbar"},"mathspeak":{"brief":"right brack with underbar","sbrief":"R brack with underbar"}},"key":"298C"},{"category":"Ps","mappings":{"default":{"default":"left bracket with tick in top corner"},"mathspeak":{"brief":"left brack with tick in top corner","sbrief":"L brack with tick in top corner"}},"key":"298D"},{"category":"Pe","mappings":{"default":{"default":"right bracket with tick in bottom corner"},"mathspeak":{"brief":"right brack with tick in bottom corner","sbrief":"R brack with tick in bottom corner"}},"key":"298E"},{"category":"Ps","mappings":{"default":{"default":"left bracket with tick in bottom corner"},"mathspeak":{"brief":"left brack with tick in bottom corner","sbrief":"L brack with tick in bottom corner"}},"key":"298F"},{"category":"Pe","mappings":{"default":{"default":"right bracket with tick in top corner"},"mathspeak":{"brief":"right brack with tick in top corner","sbrief":"R brack with tick in top corner"}},"key":"2990"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket with dot"},"mathspeak":{"sbrief":"l angle bracket with dot"}},"key":"2991"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket with dot"},"mathspeak":{"sbrief":"r angle bracket with dot"}},"key":"2992"},{"category":"Ps","mappings":{"default":{"default":"left arc less than bracket"}},"key":"2993"},{"category":"Pe","mappings":{"default":{"default":"right arc greater than bracket"}},"key":"2994"},{"category":"Ps","mappings":{"default":{"default":"double left arc greater than bracket"}},"key":"2995"},{"category":"Pe","mappings":{"default":{"default":"double right arc less than bracket"}},"key":"2996"},{"category":"Ps","mappings":{"default":{"default":"left black tortoise shell bracket"}},"key":"2997"},{"category":"Pe","mappings":{"default":{"default":"right black tortoise shell bracket"}},"key":"2998"},{"category":"Ps","mappings":{"default":{"default":"left wiggly fence"}},"key":"29D8"},{"category":"Pe","mappings":{"default":{"default":"right wiggly fence"}},"key":"29D9"},{"category":"Ps","mappings":{"default":{"default":"left double wiggly fence"}},"key":"29DA"},{"category":"Pe","mappings":{"default":{"default":"right double wiggly fence"}},"key":"29DB"},{"category":"Ps","mappings":{"default":{"default":"left pointing curved angle bracket"}},"key":"29FC"},{"category":"Pe","mappings":{"default":{"default":"right pointing curved angle bracket"}},"key":"29FD"},{"category":"Ps","mappings":{"default":{"default":"top half left bracket"},"mathspeak":{"brief":"top half left brack","sbrief":"top half L brack"}},"key":"2E22"},{"category":"Pe","mappings":{"default":{"default":"top half right bracket"},"mathspeak":{"brief":"top half right brack","sbrief":"top half R brack"}},"key":"2E23"},{"category":"Ps","mappings":{"default":{"default":"bottom half left bracket"},"mathspeak":{"brief":"bottom half left brack","sbrief":"bottom half L brack"}},"key":"2E24"},{"category":"Pe","mappings":{"default":{"default":"bottom half right bracket"},"mathspeak":{"brief":"bottom half right brack","sbrief":"bottom half R brack"}},"key":"2E25"},{"category":"Ps","mappings":{"default":{"default":"left sideways U bracket"}},"key":"2E26"},{"category":"Pe","mappings":{"default":{"default":"right sideways U bracket"}},"key":"2E27"},{"category":"Ps","mappings":{"default":{"default":"double left parenthesis"},"mathspeak":{"brief":"double left p'ren","sbrief":"double L p'ren"}},"key":"2E28"},{"category":"Pe","mappings":{"default":{"default":"double right parenthesis"},"mathspeak":{"brief":"double right p'ren","sbrief":"double R p'ren"}},"key":"2E29"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket"},"mathspeak":{"sbrief":"l angle bracket"}},"key":"3008"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket"},"mathspeak":{"sbrief":"r angle bracket"}},"key":"3009"},{"category":"Ps","mappings":{"default":{"default":"left double angle bracket"}},"key":"300A"},{"category":"Pe","mappings":{"default":{"default":"right double angle bracket"}},"key":"300B"},{"category":"Ps","mappings":{"default":{"default":"left corner bracket"}},"key":"300C"},{"category":"Pe","mappings":{"default":{"default":"right corner bracket"}},"key":"300D"},{"category":"Ps","mappings":{"default":{"default":"left white corner bracket"}},"key":"300E"},{"category":"Pe","mappings":{"default":{"default":"right white corner bracket"}},"key":"300F"},{"category":"Ps","mappings":{"default":{"default":"left black lenticular bracket"}},"key":"3010"},{"category":"Pe","mappings":{"default":{"default":"right black lenticular bracket"}},"key":"3011"},{"category":"Ps","mappings":{"default":{"default":"left tortoise shell bracket"}},"key":"3014"},{"category":"Pe","mappings":{"default":{"default":"right tortoise shell bracket"}},"key":"3015"},{"category":"Ps","mappings":{"default":{"default":"left white lenticular bracket"}},"key":"3016"},{"category":"Pe","mappings":{"default":{"default":"right white lenticular bracket"}},"key":"3017"},{"category":"Ps","mappings":{"default":{"default":"left white tortoise shell bracket"}},"key":"3018"},{"category":"Pe","mappings":{"default":{"default":"right white tortoise shell bracket"}},"key":"3019"},{"category":"Ps","mappings":{"default":{"default":"left white bracket"}},"key":"301A"},{"category":"Pe","mappings":{"default":{"default":"right white bracket"}},"key":"301B"},{"category":"Ps","mappings":{"default":{"default":"reversed double prime quotation mark"}},"key":"301D"},{"category":"Pe","mappings":{"default":{"default":"double prime quotation mark"}},"key":"301E"},{"category":"Pe","mappings":{"default":{"default":"low double prime quotation mark"}},"key":"301F"},{"category":"Ps","mappings":{"default":{"default":"ornate left parenthesis"},"mathspeak":{"brief":"ornate left p'ren","sbrief":"ornate L p'ren"}},"key":"FD3E"},{"category":"Pe","mappings":{"default":{"default":"ornate right parenthesis"},"mathspeak":{"brief":"ornate right p'ren","sbrief":"ornate R p'ren"}},"key":"FD3F"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white lenticular bracket"}},"key":"FE17"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white lenticular brakcet"}},"key":"FE18"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left parenthesis"},"mathspeak":{"brief":"presentation form for vertical left p'ren","sbrief":"presentation form for vertical L p'ren"}},"key":"FE35"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right parenthesis"},"mathspeak":{"brief":"presentation form for vertical right p'ren","sbrief":"presentation form for vertical R p'ren"}},"key":"FE36"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left brace"},"mathspeak":{"sbrief":"presentation form for vertical L brace"}},"key":"FE37"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right brace"},"mathspeak":{"sbrief":"presentation form for vertical r brace"}},"key":"FE38"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left tortoise shell bracket"}},"key":"FE39"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right tortoise shell bracket"}},"key":"FE3A"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left black lenticular bracket"}},"key":"FE3B"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right black lenticular bracket"}},"key":"FE3C"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left double angle bracket"}},"key":"FE3D"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right double angle bracket"}},"key":"FE3E"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left angle bracket"},"mathspeak":{"sbrief":"presentation form for vertical l angle bracket"}},"key":"FE3F"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right angle bracket"},"mathspeak":{"sbrief":"presentation form for vertical r angle bracket"}},"key":"FE40"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left corner bracket"}},"key":"FE41"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right corner bracket"}},"key":"FE42"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white corner bracket"}},"key":"FE43"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white corner bracket"}},"key":"FE44"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left bracket"},"mathspeak":{"brief":"presentation form for vertical left brack","sbrief":"presentation form for vertical L brack"}},"key":"FE47"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right bracket"},"mathspeak":{"brief":"presentation form for vertical right brack","sbrief":"presentation form for vertical r brack"}},"key":"FE48"},{"category":"Ps","mappings":{"default":{"default":"small left parenthesis"},"mathspeak":{"brief":"small left p'ren","sbrief":"small L p'ren"}},"key":"FE59"},{"category":"Pe","mappings":{"default":{"default":"small right parenthesis"},"mathspeak":{"brief":"small right p'ren","sbrief":"small R p'ren"}},"key":"FE5A"},{"category":"Ps","mappings":{"default":{"default":"small left brace"},"mathspeak":{"sbrief":"small L brace"}},"key":"FE5B"},{"category":"Pe","mappings":{"default":{"default":"small right brace"},"mathspeak":{"sbrief":"small r brace"}},"key":"FE5C"},{"category":"Ps","mappings":{"default":{"default":"small left tortoise shell bracket"}},"key":"FE5D"},{"category":"Pe","mappings":{"default":{"default":"small right tortoise shell bracket"}},"key":"FE5E"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left parenthesis"},"mathspeak":{"brief":"fullwidth left p'ren","sbrief":"fullwidth L p'ren"}},"key":"FF08"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right parenthesis"},"mathspeak":{"brief":"fullwidth right p'ren","sbrief":"fullwidth R p'ren"}},"key":"FF09"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left bracket"},"mathspeak":{"brief":"fullwidth left brack","sbrief":"fullwidth L brack"}},"key":"FF3B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right bracket"},"mathspeak":{"brief":"fullwidth right brack","sbrief":"fullwidth r brack"}},"key":"FF3D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left brace"},"mathspeak":{"sbrief":"fullwidth L brace"}},"key":"FF5B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right brace"},"mathspeak":{"sbrief":"fullwidth r brace"}},"key":"FF5D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth white left parenthesis"},"mathspeak":{"brief":"fullwidth white left p'ren","sbrief":"fullwidth white L p'ren"}},"key":"FF5F"},{"category":"Pe","mappings":{"default":{"default":"fullwidth white right parenthesis"},"mathspeak":{"brief":"fullwidth white right p'ren","sbrief":"fullwidth white R p'ren"}},"key":"FF60"},{"category":"Ps","mappings":{"default":{"default":"halfwidth left corner bracket"}},"key":"FF62"},{"category":"Pe","mappings":{"default":{"default":"halfwidth right corner bracket"}},"key":"FF63"}]
+,
+"en/symbols/math_geometry.js": 
+[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"box drawings light horizontal"}},"key":"2500"},{"category":"So","mappings":{"default":{"default":"box drawings heavy horizontal"}},"key":"2501"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical"}},"key":"2502"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical"}},"key":"2503"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash horizontal"}},"key":"2504"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash horizontal"}},"key":"2505"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash vertical"}},"key":"2506"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash vertical"}},"key":"2507"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash horizontal"}},"key":"2508"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash horizontal"}},"key":"2509"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash vertical"}},"key":"250A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash vertical"}},"key":"250B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and right"}},"key":"250C"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right heavy"}},"key":"250D"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right light"}},"key":"250E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and right"}},"key":"250F"},{"category":"So","mappings":{"default":{"default":"box drawings light down and left"}},"key":"2510"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left heavy"}},"key":"2511"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left light"}},"key":"2512"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and left"}},"key":"2513"},{"category":"So","mappings":{"default":{"default":"box drawings light up and right"}},"key":"2514"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right heavy"}},"key":"2515"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right light"}},"key":"2516"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and right"}},"key":"2517"},{"category":"So","mappings":{"default":{"default":"box drawings light up and left"}},"key":"2518"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left heavy"}},"key":"2519"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left light"}},"key":"251A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and left"}},"key":"251B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and right"}},"key":"251C"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and right heavy"}},"key":"251D"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right down light"}},"key":"251E"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right up light"}},"key":"251F"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and right light"}},"key":"2520"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right up heavy"}},"key":"2521"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right down heavy"}},"key":"2522"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and right"}},"key":"2523"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and left"}},"key":"2524"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and left heavy"}},"key":"2525"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left down light"}},"key":"2526"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left up light"}},"key":"2527"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and left light"}},"key":"2528"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left up heavy"}},"key":"2529"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left down heavy"}},"key":"252A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and left"}},"key":"252B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and horizontal"}},"key":"252C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right down light"}},"key":"252D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left down light"}},"key":"252E"},{"category":"So","mappings":{"default":{"default":"box drawings down light and horizontal heavy"}},"key":"252F"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and horizontal light"}},"key":"2530"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left down heavy"}},"key":"2531"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right down heavy"}},"key":"2532"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and horizontal"}},"key":"2533"},{"category":"So","mappings":{"default":{"default":"box drawings light up and horizontal"}},"key":"2534"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right up light"}},"key":"2535"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left up light"}},"key":"2536"},{"category":"So","mappings":{"default":{"default":"box drawings up light and horizontal heavy"}},"key":"2537"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and horizontal light"}},"key":"2538"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left up heavy"}},"key":"2539"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right up heavy"}},"key":"253A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and horizontal"}},"key":"253B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and horizontal"}},"key":"253C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right vertical light"}},"key":"253D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left vertical light"}},"key":"253E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and horizontal heavy"}},"key":"253F"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and down horizontal light"}},"key":"2540"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and up horizontal light"}},"key":"2541"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and horizontal light"}},"key":"2542"},{"category":"So","mappings":{"default":{"default":"box drawings left up heavy and right down light"}},"key":"2543"},{"category":"So","mappings":{"default":{"default":"box drawings right up heavy and left down light"}},"key":"2544"},{"category":"So","mappings":{"default":{"default":"box drawings left down heavy and right up light"}},"key":"2545"},{"category":"So","mappings":{"default":{"default":"box drawings right down heavy and left up light"}},"key":"2546"},{"category":"So","mappings":{"default":{"default":"box drawings down light and up horizontal heavy"}},"key":"2547"},{"category":"So","mappings":{"default":{"default":"box drawings up light and down horizontal heavy"}},"key":"2548"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left vertical heavy"}},"key":"2549"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right vertical heavy"}},"key":"254A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and horizontal"}},"key":"254B"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash horizontal"}},"key":"254C"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash horizontal"}},"key":"254D"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash vertical"}},"key":"254E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash vertical"}},"key":"254F"},{"category":"So","mappings":{"default":{"default":"box drawings double horizontal"}},"key":"2550"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical"}},"key":"2551"},{"category":"So","mappings":{"default":{"default":"box drawings down single and right double"}},"key":"2552"},{"category":"So","mappings":{"default":{"default":"box drawings down double and right single"}},"key":"2553"},{"category":"So","mappings":{"default":{"default":"box drawings double down and right"}},"key":"2554"},{"category":"So","mappings":{"default":{"default":"box drawings down single and left double"}},"key":"2555"},{"category":"So","mappings":{"default":{"default":"box drawings down double and left single"}},"key":"2556"},{"category":"So","mappings":{"default":{"default":"box drawings double down and left"}},"key":"2557"},{"category":"So","mappings":{"default":{"default":"box drawings up single and right double"}},"key":"2558"},{"category":"So","mappings":{"default":{"default":"box drawings up double and right single"}},"key":"2559"},{"category":"So","mappings":{"default":{"default":"box drawings double up and right"}},"key":"255A"},{"category":"So","mappings":{"default":{"default":"box drawings up single and left double"}},"key":"255B"},{"category":"So","mappings":{"default":{"default":"box drawings up double and left single"}},"key":"255C"},{"category":"So","mappings":{"default":{"default":"box drawings double up and left"}},"key":"255D"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and right double"}},"key":"255E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and right single"}},"key":"255F"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and right"}},"key":"2560"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and left double"}},"key":"2561"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and left single"}},"key":"2562"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and left"}},"key":"2563"},{"category":"So","mappings":{"default":{"default":"box drawings down single and horizontal double"}},"key":"2564"},{"category":"So","mappings":{"default":{"default":"box drawings down double and horizontal single"}},"key":"2565"},{"category":"So","mappings":{"default":{"default":"box drawings double down and horizontal"}},"key":"2566"},{"category":"So","mappings":{"default":{"default":"box drawings up single and horizontal double"}},"key":"2567"},{"category":"So","mappings":{"default":{"default":"box drawings up double and horizontal single"}},"key":"2568"},{"category":"So","mappings":{"default":{"default":"box drawings double up and horizontal"}},"key":"2569"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and horizontal double"}},"key":"256A"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and horizontal single"}},"key":"256B"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and horizontal"}},"key":"256C"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and right"}},"key":"256D"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and left"}},"key":"256E"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and left"}},"key":"256F"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and right"}},"key":"2570"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper right to lower left"}},"key":"2571"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper left to lower right"}},"key":"2572"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal cross"}},"key":"2573"},{"category":"So","mappings":{"default":{"default":"box drawings light left"}},"key":"2574"},{"category":"So","mappings":{"default":{"default":"box drawings light up"}},"key":"2575"},{"category":"So","mappings":{"default":{"default":"box drawings light right"}},"key":"2576"},{"category":"So","mappings":{"default":{"default":"box drawings light down"}},"key":"2577"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left"}},"key":"2578"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up"}},"key":"2579"},{"category":"So","mappings":{"default":{"default":"box drawings heavy right"}},"key":"257A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down"}},"key":"257B"},{"category":"So","mappings":{"default":{"default":"box drawings light left and heavy right"}},"key":"257C"},{"category":"So","mappings":{"default":{"default":"box drawings light up and heavy down"}},"key":"257D"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left and light right"}},"key":"257E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and light down"}},"key":"257F"},{"category":"So","mappings":{"default":{"default":"upper half block"}},"key":"2580"},{"category":"So","mappings":{"default":{"default":"lower one eighth block"}},"key":"2581"},{"category":"So","mappings":{"default":{"default":"lower one quarter block"}},"key":"2582"},{"category":"So","mappings":{"default":{"default":"lower three eighths block"}},"key":"2583"},{"category":"So","mappings":{"default":{"default":"lower half block"}},"key":"2584"},{"category":"So","mappings":{"default":{"default":"lower five eighths block"}},"key":"2585"},{"category":"So","mappings":{"default":{"default":"lower three quarters block"}},"key":"2586"},{"category":"So","mappings":{"default":{"default":"lower seven eighths block"}},"key":"2587"},{"category":"So","mappings":{"default":{"default":"full block"}},"key":"2588"},{"category":"So","mappings":{"default":{"default":"left seven eighths block"}},"key":"2589"},{"category":"So","mappings":{"default":{"default":"left three quarters block"}},"key":"258A"},{"category":"So","mappings":{"default":{"default":"left five eighths block"}},"key":"258B"},{"category":"So","mappings":{"default":{"default":"left half block"}},"key":"258C"},{"category":"So","mappings":{"default":{"default":"left three eighths block"}},"key":"258D"},{"category":"So","mappings":{"default":{"default":"left one quarter block"}},"key":"258E"},{"category":"So","mappings":{"default":{"default":"left one eighth block"}},"key":"258F"},{"category":"So","mappings":{"default":{"default":"right half block"}},"key":"2590"},{"category":"So","mappings":{"default":{"default":"light shade"}},"key":"2591"},{"category":"So","mappings":{"default":{"default":"medium shade"}},"key":"2592"},{"category":"So","mappings":{"default":{"default":"dark shade"}},"key":"2593"},{"category":"So","mappings":{"default":{"default":"upper one eighth block"}},"key":"2594"},{"category":"So","mappings":{"default":{"default":"right one eighth block"}},"key":"2595"},{"category":"So","mappings":{"default":{"default":"quadrant lower left"}},"key":"2596"},{"category":"So","mappings":{"default":{"default":"quadrant lower right"}},"key":"2597"},{"category":"So","mappings":{"default":{"default":"quadrant upper left"}},"key":"2598"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower left and lower right"}},"key":"2599"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower right"}},"key":"259A"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower left"}},"key":"259B"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower right"}},"key":"259C"},{"category":"So","mappings":{"default":{"default":"quadrant upper right"}},"key":"259D"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left"}},"key":"259E"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left and lower right"}},"key":"259F"},{"category":"So","mappings":{"default":{"default":"black square"}},"key":"25A0"},{"category":"So","mappings":{"default":{"default":"white square"}},"key":"25A1"},{"category":"So","mappings":{"default":{"default":"white square with rounded corners"}},"key":"25A2"},{"category":"So","mappings":{"default":{"default":"white square containing black small square"}},"key":"25A3"},{"category":"So","mappings":{"default":{"default":"square with horizontal fill"}},"key":"25A4"},{"category":"So","mappings":{"default":{"default":"square with vertical fill"}},"key":"25A5"},{"category":"So","mappings":{"default":{"default":"square with orthogonal crosshatch fill"}},"key":"25A6"},{"category":"So","mappings":{"default":{"default":"square with upper left to lower right fill"}},"key":"25A7"},{"category":"So","mappings":{"default":{"default":"square with upper right to lower left fill"}},"key":"25A8"},{"category":"So","mappings":{"default":{"default":"square with diagonal crosshatch fill"}},"key":"25A9"},{"category":"So","mappings":{"default":{"default":"black small square"}},"key":"25AA"},{"category":"So","mappings":{"default":{"default":"white small square"}},"key":"25AB"},{"category":"So","mappings":{"default":{"default":"black rectangle"}},"key":"25AC"},{"category":"So","mappings":{"default":{"default":"white rectangle"}},"key":"25AD"},{"category":"So","mappings":{"default":{"default":"black vertical rectangle"}},"key":"25AE"},{"category":"So","mappings":{"default":{"default":"white vertical rectangle"}},"key":"25AF"},{"category":"So","mappings":{"default":{"default":"black parallelogram"}},"key":"25B0"},{"category":"So","mappings":{"default":{"default":"white parallelogram"}},"key":"25B1"},{"category":"So","mappings":{"default":{"default":"black up pointing triangle"}},"key":"25B2"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle"}},"key":"25B3"},{"category":"So","mappings":{"default":{"default":"black up pointing small triangle"}},"key":"25B4"},{"category":"So","mappings":{"default":{"default":"white up pointing small triangle"}},"key":"25B5"},{"category":"So","mappings":{"default":{"default":"black right pointing triangle"}},"key":"25B6"},{"category":"Sm","mappings":{"default":{"default":"white right pointing triangle"}},"key":"25B7"},{"category":"So","mappings":{"default":{"default":"black right pointing small triangle"}},"key":"25B8"},{"category":"So","mappings":{"default":{"default":"white right pointing small triangle"}},"key":"25B9"},{"category":"So","mappings":{"default":{"default":"black right pointing pointer"}},"key":"25BA"},{"category":"So","mappings":{"default":{"default":"white right pointing pointer"}},"key":"25BB"},{"category":"So","mappings":{"default":{"default":"black down pointing triangle"}},"key":"25BC"},{"category":"So","mappings":{"default":{"default":"white down pointing triangle"}},"key":"25BD"},{"category":"So","mappings":{"default":{"default":"black down pointing small triangle"}},"key":"25BE"},{"category":"So","mappings":{"default":{"default":"white down pointing small triangle"}},"key":"25BF"},{"category":"So","mappings":{"default":{"default":"black left pointing triangle"}},"key":"25C0"},{"category":"Sm","mappings":{"default":{"default":"white left pointing triangle"}},"key":"25C1"},{"category":"So","mappings":{"default":{"default":"black left pointing small triangle"}},"key":"25C2"},{"category":"So","mappings":{"default":{"default":"white left pointing small triangle"}},"key":"25C3"},{"category":"So","mappings":{"default":{"default":"black left pointing pointer"}},"key":"25C4"},{"category":"So","mappings":{"default":{"default":"white left pointing pointer"}},"key":"25C5"},{"category":"So","mappings":{"default":{"default":"black diamond"}},"key":"25C6"},{"category":"So","mappings":{"default":{"default":"white diamond"}},"key":"25C7"},{"category":"So","mappings":{"default":{"default":"white diamond containing black small diamond"}},"key":"25C8"},{"category":"So","mappings":{"default":{"default":"fisheye"}},"key":"25C9"},{"category":"So","mappings":{"default":{"default":"lozenge"}},"key":"25CA"},{"category":"So","mappings":{"default":{"default":"white circle"}},"key":"25CB"},{"category":"So","mappings":{"default":{"default":"dotted circle"}},"key":"25CC"},{"category":"So","mappings":{"default":{"default":"circle with vertical fill"}},"key":"25CD"},{"category":"So","mappings":{"default":{"default":"bullseye"}},"key":"25CE"},{"category":"So","mappings":{"default":{"default":"black circle"}},"key":"25CF"},{"category":"So","mappings":{"default":{"default":"circle with left half black"}},"key":"25D0"},{"category":"So","mappings":{"default":{"default":"circle with right half black"}},"key":"25D1"},{"category":"So","mappings":{"default":{"default":"circle with lower half black"}},"key":"25D2"},{"category":"So","mappings":{"default":{"default":"circle with upper half black"}},"key":"25D3"},{"category":"So","mappings":{"default":{"default":"circle with upper right quadrant black"}},"key":"25D4"},{"category":"So","mappings":{"default":{"default":"circle with all but upper left quadrant black"}},"key":"25D5"},{"category":"So","mappings":{"default":{"default":"left half black circle"}},"key":"25D6"},{"category":"So","mappings":{"default":{"default":"right half black circle"}},"key":"25D7"},{"category":"So","mappings":{"default":{"default":"inverse bullet"}},"key":"25D8"},{"category":"So","mappings":{"default":{"default":"inverse white circle"}},"key":"25D9"},{"category":"So","mappings":{"default":{"default":"upper half inverse white circle"}},"key":"25DA"},{"category":"So","mappings":{"default":{"default":"lower half inverse white circle"}},"key":"25DB"},{"category":"So","mappings":{"default":{"default":"upper left quadrant circular arc"}},"key":"25DC"},{"category":"So","mappings":{"default":{"default":"upper right quadrant circular arc"}},"key":"25DD"},{"category":"So","mappings":{"default":{"default":"lower right quadrant circular arc"}},"key":"25DE"},{"category":"So","mappings":{"default":{"default":"lower left quadrant circular arc"}},"key":"25DF"},{"category":"So","mappings":{"default":{"default":"upper half circle"}},"key":"25E0"},{"category":"So","mappings":{"default":{"default":"lower half circle"}},"key":"25E1"},{"category":"So","mappings":{"default":{"default":"black lower right triangle"}},"key":"25E2"},{"category":"So","mappings":{"default":{"default":"black lower left triangle"}},"key":"25E3"},{"category":"So","mappings":{"default":{"default":"black upper left triangle"}},"key":"25E4"},{"category":"So","mappings":{"default":{"default":"black upper right triangle"}},"key":"25E5"},{"category":"So","mappings":{"default":{"default":"white bullet"}},"key":"25E6"},{"category":"So","mappings":{"default":{"default":"square with left half black"}},"key":"25E7"},{"category":"So","mappings":{"default":{"default":"square with right half black"}},"key":"25E8"},{"category":"So","mappings":{"default":{"default":"square with upper left diagonal half black"}},"key":"25E9"},{"category":"So","mappings":{"default":{"default":"square with lower right diagonal half black"}},"key":"25EA"},{"category":"So","mappings":{"default":{"default":"white square with vertical bisecting line"}},"key":"25EB"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle with dot"}},"key":"25EC"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with left half black"}},"key":"25ED"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with right half black"}},"key":"25EE"},{"category":"So","mappings":{"default":{"default":"large circle"}},"key":"25EF"},{"category":"So","mappings":{"default":{"default":"white square with upper left quadrant"}},"key":"25F0"},{"category":"So","mappings":{"default":{"default":"white square with lower left quadrant"}},"key":"25F1"},{"category":"So","mappings":{"default":{"default":"white square with lower right quadrant"}},"key":"25F2"},{"category":"So","mappings":{"default":{"default":"white square with upper right quadrant"}},"key":"25F3"},{"category":"So","mappings":{"default":{"default":"white circle with upper left quadrant"}},"key":"25F4"},{"category":"So","mappings":{"default":{"default":"white circle with lower left quadrant"}},"key":"25F5"},{"category":"So","mappings":{"default":{"default":"white circle with lower right quadrant"}},"key":"25F6"},{"category":"So","mappings":{"default":{"default":"white circle with upper right quadrant"}},"key":"25F7"},{"category":"Sm","mappings":{"default":{"default":"upper left triangle"}},"key":"25F8"},{"category":"Sm","mappings":{"default":{"default":"upper right triangle"}},"key":"25F9"},{"category":"Sm","mappings":{"default":{"default":"lower left triangle"}},"key":"25FA"},{"category":"Sm","mappings":{"default":{"default":"white medium square"}},"key":"25FB"},{"category":"Sm","mappings":{"default":{"default":"black medium square"}},"key":"25FC"},{"category":"Sm","mappings":{"default":{"default":"white medium small square"}},"key":"25FD"},{"category":"Sm","mappings":{"default":{"default":"black medium small square"}},"key":"25FE"},{"category":"Sm","mappings":{"default":{"default":"lower right triangle"}},"key":"25FF"},{"category":"So","mappings":{"default":{"default":"square with top half black"}},"key":"2B12"},{"category":"So","mappings":{"default":{"default":"square with bottom half black"}},"key":"2B13"},{"category":"So","mappings":{"default":{"default":"square with upper right diagonal half black"}},"key":"2B14"},{"category":"So","mappings":{"default":{"default":"square with lower left diagonal half black"}},"key":"2B15"},{"category":"So","mappings":{"default":{"default":"diamond with left half black"}},"key":"2B16"},{"category":"So","mappings":{"default":{"default":"diamond with right half black"}},"key":"2B17"},{"category":"So","mappings":{"default":{"default":"diamond with top half black"}},"key":"2B18"},{"category":"So","mappings":{"default":{"default":"diamond with bottom half black"}},"key":"2B19"},{"category":"So","mappings":{"default":{"default":"dotted square"}},"key":"2B1A"},{"category":"So","mappings":{"default":{"default":"black large square"}},"key":"2B1B"},{"category":"So","mappings":{"default":{"default":"white large square"}},"key":"2B1C"},{"category":"So","mappings":{"default":{"default":"black very small square"}},"key":"2B1D"},{"category":"So","mappings":{"default":{"default":"white very small square"}},"key":"2B1E"},{"category":"So","mappings":{"default":{"default":"black pentagon"}},"key":"2B1F"},{"category":"So","mappings":{"default":{"default":"white pentagon"}},"key":"2B20"},{"category":"So","mappings":{"default":{"default":"white hexagon"}},"key":"2B21"},{"category":"So","mappings":{"default":{"default":"black hexagon"}},"key":"2B22"},{"category":"So","mappings":{"default":{"default":"horizontal black hexagon"}},"key":"2B23"},{"category":"So","mappings":{"default":{"default":"black large circle"}},"key":"2B24"},{"category":"So","mappings":{"default":{"default":"black medium diamond"}},"key":"2B25"},{"category":"So","mappings":{"default":{"default":"white medium diamond"}},"key":"2B26"},{"category":"So","mappings":{"default":{"default":"black medium lozenge"}},"key":"2B27"},{"category":"So","mappings":{"default":{"default":"white medium lozenge"}},"key":"2B28"},{"category":"So","mappings":{"default":{"default":"black small diamond"}},"key":"2B29"},{"category":"So","mappings":{"default":{"default":"black small lozenge"}},"key":"2B2A"},{"category":"So","mappings":{"default":{"default":"white small lozenge"}},"key":"2B2B"},{"category":"So","mappings":{"default":{"default":"black horizontal ellipse"}},"key":"2B2C"},{"category":"So","mappings":{"default":{"default":"white horizontal ellipse"}},"key":"2B2D"},{"category":"So","mappings":{"default":{"default":"black vertical ellipse"}},"key":"2B2E"},{"category":"So","mappings":{"default":{"default":"white vertical ellipse"}},"key":"2B2F"},{"category":"So","mappings":{"default":{"default":"white medium star"}},"key":"2B50"},{"category":"So","mappings":{"default":{"default":"black small star"}},"key":"2B51"},{"category":"So","mappings":{"default":{"default":"white small star"}},"key":"2B52"},{"category":"So","mappings":{"default":{"default":"black right pointing pentagon"}},"key":"2B53"},{"category":"So","mappings":{"default":{"default":"white right pointing pentagon"}},"key":"2B54"},{"category":"So","mappings":{"default":{"default":"heavy large circle"}},"key":"2B55"},{"category":"So","mappings":{"default":{"default":"heavy oval with oval inside"}},"key":"2B56"},{"category":"So","mappings":{"default":{"default":"heavy circle with circle inside"}},"key":"2B57"},{"category":"So","mappings":{"default":{"default":"heavy circle"}},"key":"2B58"},{"category":"So","mappings":{"default":{"default":"heavy circled saltire"}},"key":"2B59"}]
+,
+"en/symbols/math_harpoons.js": 
+[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"left harpoon with barb up"}},"key":"21BC"},{"category":"So","mappings":{"default":{"default":"left harpoon with barb down"}},"key":"21BD"},{"category":"So","mappings":{"default":{"default":"up harpoon with barb right"}},"key":"21BE"},{"category":"So","mappings":{"default":{"default":"up harpoon with barb left"}},"key":"21BF"},{"category":"So","mappings":{"default":{"default":"right harpoon with barb up"}},"key":"21C0"},{"category":"So","mappings":{"default":{"default":"right harpoon with barb down"}},"key":"21C1"},{"category":"So","mappings":{"default":{"default":"down harpoon with barb right"}},"key":"21C2"},{"category":"So","mappings":{"default":{"default":"down harpoon with barb left"}},"key":"21C3"},{"category":"So","mappings":{"default":{"default":"left harpoon over right harpoon"}},"key":"21CB"},{"category":"So","mappings":{"default":{"default":"right harpoon over left harpoon"}},"key":"21CC"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb down harpoon"}},"key":"294A"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb up harpoon"}},"key":"294B"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb left harpoon"}},"key":"294C"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb right harpoon"}},"key":"294D"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb up harpoon"}},"key":"294E"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb right harpoon"}},"key":"294F"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb down harpoon"}},"key":"2950"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb left harpoon"}},"key":"2951"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up to bar"}},"key":"2952"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up to bar"}},"key":"2953"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb right to bar"}},"key":"2954"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb right to bar"}},"key":"2955"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down to bar"}},"key":"2956"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down to bar"}},"key":"2957"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left to bar"}},"key":"2958"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left to bar"}},"key":"2959"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up from bar"}},"key":"295A"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up from bar"}},"key":"295B"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb right from bar"}},"key":"295C"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb right from bar"}},"key":"295D"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down from bar"}},"key":"295E"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down from bar"}},"key":"295F"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left from bar"}},"key":"2960"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left from bar"}},"key":"2961"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up above left harpoon with barb down"}},"key":"2962"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left beside up harpoon with barb right"}},"key":"2963"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up above right harpoon with barb down"}},"key":"2964"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left beside down harpoon with barb right"}},"key":"2965"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up above right harpoon with barb up"}},"key":"2966"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down above right harpoon with barb down"}},"key":"2967"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up above left harpoon with barb up"}},"key":"2968"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down above left harpoon with barb down"}},"key":"2969"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up above long dash"}},"key":"296A"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down below long dash"}},"key":"296B"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up above long dash"}},"key":"296C"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down below long dash"}},"key":"296D"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left beside down harpoon with barb right"}},"key":"296E"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left beside up harpoon with barb right"}},"key":"296F"},{"category":"Sm","mappings":{"default":{"default":"left fish tail"}},"key":"297C"},{"category":"Sm","mappings":{"default":{"default":"right fish tail"}},"key":"297D"},{"category":"Sm","mappings":{"default":{"default":"up fish tail"}},"key":"297E"},{"category":"Sm","mappings":{"default":{"default":"down fish tail"}},"key":"297F"}]
+,
+"en/symbols/math_non_characters.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"italic h over two pi","physics":"planck constant over two pi"}},"key":"210F"},{"category":"So","mappings":{"default":{"default":"l b bar"}},"key":"2114"},{"category":"So","mappings":{"default":{"default":"numero"}},"key":"2116"},{"category":"So","mappings":{"default":{"default":"sound recording copyright"}},"key":"2117"},{"category":"So","mappings":{"default":{"default":"prescription take"}},"key":"211E"},{"category":"So","mappings":{"default":{"default":"response"}},"key":"211F"},{"category":"So","mappings":{"default":{"default":"service mark"}},"key":"2120"},{"category":"So","mappings":{"default":{"default":"telephone sign","alternative":"t e l symbol"}},"key":"2121"},{"category":"So","mappings":{"default":{"default":"trade mark"}},"key":"2122"},{"category":"So","mappings":{"default":{"default":"versicle"}},"key":"2123"},{"category":"So","mappings":{"default":{"default":"ounce"}},"key":"2125"},{"category":"Lu","mappings":{"default":{"default":"ohm"}},"key":"2126"},{"category":"So","mappings":{"default":{"default":"inverted ohm"}},"key":"2127"},{"category":"Lu","mappings":{"default":{"default":"kelvin"}},"key":"212A"},{"category":"Lu","mappings":{"default":{"default":"angstrom"}},"key":"212B"},{"category":"So","mappings":{"default":{"default":"estimated"}},"key":"212E"},{"category":"Lu","mappings":{"default":{"default":"turned cap F"},"mathspeak":{"default":"turned upper F"}},"key":"2132"},{"category":"Ll","mappings":{"default":{"default":"information source"}},"key":"2139"},{"category":"So","mappings":{"default":{"default":"rotated cap Q"},"mathspeak":{"default":"rotated upper Q"}},"key":"213A"},{"category":"So","mappings":{"default":{"default":"facsimile sign"}},"key":"213B"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif cap G"},"mathspeak":{"default":"turned sans serif upper G"}},"key":"2141"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif cap L"},"mathspeak":{"default":"turned sans serif upper L"}},"key":"2142"},{"category":"Sm","mappings":{"default":{"default":"reversed sans serif cap L"},"mathspeak":{"default":"reversed sans serif upper L"}},"key":"2143"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif cap Y"},"mathspeak":{"default":"turned sans serif upper Y"}},"key":"2144"}]
+,
+"en/symbols/math_symbols.js": 
+[{"locale":"en"},{"category":"Po","mappings":{"default":{"default":"exclamation mark"}},"key":"0021"},{"category":"Po","mappings":{"default":{"default":"quotation mark"}},"key":"0022"},{"category":"Po","mappings":{"default":{"default":"number sign","alternative":"hash"},"mathspeak":{"brief":"num sign","sbrief":"num sign"}},"key":"0023"},{"category":"Sc","mappings":{"default":{"default":"dollar sign"}},"key":"0024"},{"category":"Po","mappings":{"default":{"default":"percent sign"}},"key":"0025"},{"category":"Po","mappings":{"default":{"default":"ampersand"}},"key":"0026"},{"category":"Po","mappings":{"default":{"default":"prime"}},"key":"0027"},{"category":"Po","mappings":{"default":{"default":"asterisk"}},"key":"002A"},{"category":"Sm","mappings":{"default":{"default":"plus"}},"key":"002B"},{"category":"Po","mappings":{"default":{"default":"comma"}},"key":"002C"},{"category":"Pd","mappings":{"default":{"default":"minus"},"mathspeak":{"default":"hyphen"}},"key":"002D"},{"category":"Po","mappings":{"default":{"default":"period"}},"key":"002E"},{"category":"Po","mappings":{"default":{"default":"slash","alternative":"solidus"},"emacspeak":{"default":"slash"}},"key":"002F"},{"category":"Po","mappings":{"default":{"default":"colon"}},"key":"003A"},{"category":"Po","mappings":{"default":{"default":"semicolon"}},"key":"003B"},{"category":"Sm","mappings":{"default":{"default":"less than"},"clearspeak":{"default":"is less than"}},"key":"003C"},{"category":"Sm","mappings":{"default":{"default":"equals"}},"key":"003D"},{"category":"Sm","mappings":{"default":{"default":"greater than"},"clearspeak":{"default":"is greater than"}},"key":"003E"},{"category":"Po","mappings":{"default":{"default":"question mark"}},"key":"003F"},{"category":"Po","mappings":{"default":{"default":"at"}},"key":"0040"},{"category":"Po","mappings":{"default":{"default":"backslash"}},"key":"005C"},{"category":"Sk","mappings":{"default":{"default":"hat"},"mathspeak":{"default":"caret"}},"key":"005E"},{"category":"Pc","mappings":{"default":{"default":"bar","alternative":"underline"}},"key":"005F"},{"category":"Sk","mappings":{"default":{"default":"grave"},"mathspeak":{"default":"grave"}},"key":"0060"},{"category":"Sm","mappings":{"default":{"default":"vertical bar"},"clearspeak":{"default":"divides"}},"key":"007C"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"007E"},{"category":"Po","mappings":{"default":{"default":"inverted exclamation mark"}},"key":"00A1"},{"category":"Sc","mappings":{"default":{"default":"cent sign"}},"key":"00A2"},{"category":"Sc","mappings":{"default":{"default":"pound sign"}},"key":"00A3"},{"category":"Sc","mappings":{"default":{"default":"currency sign"}},"key":"00A4"},{"category":"Sc","mappings":{"default":{"default":"yen sign"}},"key":"00A5"},{"category":"So","mappings":{"default":{"default":"broken vertical bar"}},"key":"00A6"},{"category":"Po","mappings":{"default":{"default":"section sign"}},"key":"00A7"},{"category":"Sk","mappings":{"default":{"default":"two dots"}},"key":"00A8"},{"category":"So","mappings":{"default":{"default":"copyright sign"}},"key":"00A9"},{"category":"Lo","mappings":{"default":{"default":"feminine ordinal indicator"}},"key":"00AA"},{"category":"Pi","mappings":{"default":{"default":"left pointing guillemet"}},"key":"00AB"},{"category":"Sm","mappings":{"default":{"default":"not sign"}},"key":"00AC"},{"category":"So","mappings":{"default":{"default":"registered sign"},"mathspeak":{"default":"registered trade mark sign"},"clearspeak":{"default":"trade mark sign"}},"key":"00AE"},{"category":"Sk","mappings":{"default":{"default":"bar"}},"key":"00AF"},{"category":"So","mappings":{"default":{"default":"degree"},"clearspeak":{"default":"degrees"}},"key":"00B0"},{"category":"Sm","mappings":{"default":{"default":"plus or minus"}},"key":"00B1"},{"category":"Sk","mappings":{"default":{"default":"acute"}},"key":"00B4"},{"category":"Ll","mappings":{"default":{"default":"micro sign"}},"key":"00B5"},{"category":"Po","mappings":{"default":{"default":"paragraph sign"}},"key":"00B6"},{"category":"Po","mappings":{"default":{"default":"dot"},"clearspeak":{"default":"times"}},"key":"00B7"},{"category":"Sk","mappings":{"default":{"default":"cedilla"}},"key":"00B8"},{"category":"Lo","mappings":{"default":{"default":"masculine ordinal indicator"}},"key":"00BA"},{"category":"Pf","mappings":{"default":{"default":"right pointing guillemet"}},"key":"00BB"},{"category":"Po","mappings":{"default":{"default":"inverted question mark"}},"key":"00BF"},{"category":"Sm","mappings":{"default":{"default":"times"},"clearspeak":{"MultsymbolX_By":"by","MultsymbolX_Cross":"cross"}},"key":"00D7"},{"category":"Sm","mappings":{"default":{"default":"division sign"}},"key":"00F7"},{"category":"Sk","mappings":{"default":{"default":"breve"}},"key":"02D8"},{"category":"Sk","mappings":{"default":{"default":"dot above"},"mathspeak":{"default":"dot"}},"key":"02D9"},{"category":"Sk","mappings":{"default":{"default":"ring above"}},"key":"02DA"},{"category":"Sk","mappings":{"default":{"default":"ogonek"}},"key":"02DB"},{"category":"Sk","mappings":{"default":{"default":"tilde"}},"key":"02DC"},{"category":"Sk","mappings":{"default":{"default":"double acute"}},"key":"02DD"},{"category":"Pd","mappings":{"default":{"default":"hyphen"}},"key":"2010"},{"category":"Pd","mappings":{"default":{"default":"non breaking hyphen"}},"key":"2011"},{"category":"Pd","mappings":{"default":{"default":"figure dash"}},"key":"2012"},{"category":"Pd","mappings":{"default":{"default":"en dash"}},"key":"2013"},{"category":"Pd","mappings":{"default":{"default":"em dash"}},"key":"2014"},{"category":"Pd","mappings":{"default":{"default":"horizontal bar"},"mathspeak":{"default":"quotation dash"}},"key":"2015"},{"category":"Po","mappings":{"default":{"default":"double vertical bar"}},"key":"2016"},{"category":"Po","mappings":{"default":{"default":"double underline"}},"key":"2017"},{"category":"Pi","mappings":{"default":{"default":"left single quotation mark"}},"key":"2018"},{"category":"Pf","mappings":{"default":{"default":"right single quotation mark"}},"key":"2019"},{"category":"Ps","mappings":{"default":{"default":"low right single quotation mark"}},"key":"201A"},{"category":"Pi","mappings":{"default":{"default":"left reversed single quotation mark"}},"key":"201B"},{"category":"Pi","mappings":{"default":{"default":"left double quotation mark"}},"key":"201C"},{"category":"Pf","mappings":{"default":{"default":"right double quotation mark"}},"key":"201D"},{"category":"Ps","mappings":{"default":{"default":"low right double quotation mark"}},"key":"201E"},{"category":"Pi","mappings":{"default":{"default":"left reversed double quotation mark"}},"key":"201F"},{"category":"Po","mappings":{"default":{"default":"dagger"}},"key":"2020"},{"category":"Po","mappings":{"default":{"default":"double dagger"}},"key":"2021"},{"category":"Po","mappings":{"default":{"default":"bullet"}},"key":"2022"},{"category":"Po","mappings":{"default":{"default":"triangular bullet"}},"key":"2023"},{"category":"Po","mappings":{"default":{"default":"one dot leader"}},"key":"2024"},{"category":"Po","mappings":{"default":{"default":"two dot leader"}},"key":"2025"},{"category":"Po","mappings":{"default":{"default":"ellipsis"},"clearspeak":{"default":"dot dot dot"}},"key":"2026"},{"category":"Po","mappings":{"default":{"default":"hyphenation point"}},"key":"2027"},{"category":"Po","mappings":{"default":{"default":"per mille"}},"key":"2030"},{"category":"Po","mappings":{"default":{"default":"per ten thousand"}},"key":"2031"},{"category":"Po","mappings":{"default":{"default":"prime"}},"key":"2032"},{"category":"Po","mappings":{"default":{"default":"double prime"}},"key":"2033"},{"category":"Po","mappings":{"default":{"default":"triple prime"}},"key":"2034"},{"category":"Po","mappings":{"default":{"default":"reversed prime"}},"key":"2035"},{"category":"Po","mappings":{"default":{"default":"reversed double prime"}},"key":"2036"},{"category":"Po","mappings":{"default":{"default":"reversed triple prime"}},"key":"2037"},{"category":"Po","mappings":{"default":{"default":"caret"}},"key":"2038"},{"category":"Pi","mappings":{"default":{"default":"left pointing single guillemet"}},"key":"2039"},{"category":"Pf","mappings":{"default":{"default":"right pointing single guillemet"}},"key":"203A"},{"category":"Po","mappings":{"default":{"default":"reference mark"}},"key":"203B"},{"category":"Po","mappings":{"default":{"default":"double exclamation mark"}},"key":"203C"},{"category":"Po","mappings":{"default":{"default":"interrobang"}},"key":"203D"},{"category":"Po","mappings":{"default":{"default":"overline"},"mathspeak":{"default":"bar"}},"key":"203E"},{"category":"Pc","mappings":{"default":{"default":"undertie"}},"key":"203F"},{"category":"Pc","mappings":{"default":{"default":"character tie"}},"key":"2040"},{"category":"Po","mappings":{"default":{"default":"caret insertion point"}},"key":"2041"},{"category":"Po","mappings":{"default":{"default":"asterism"}},"key":"2042"},{"category":"Po","mappings":{"default":{"default":"hyphen bullet"}},"key":"2043"},{"category":"Sm","mappings":{"default":{"default":"fraction slash"}},"key":"2044"},{"category":"Po","mappings":{"default":{"default":"double question mark"}},"key":"2047"},{"category":"Po","mappings":{"default":{"default":"question exclamation mark"}},"key":"2048"},{"category":"Po","mappings":{"default":{"default":"exclamation question mark"}},"key":"2049"},{"category":"Po","mappings":{"default":{"default":"reversed pilcrow"}},"key":"204B"},{"category":"Po","mappings":{"default":{"default":"black leftwards bullet"}},"key":"204C"},{"category":"Po","mappings":{"default":{"default":"black rightwards bullet"}},"key":"204D"},{"category":"Po","mappings":{"default":{"default":"low asterisk"}},"key":"204E"},{"category":"Po","mappings":{"default":{"default":"reversed semicolon"}},"key":"204F"},{"category":"Po","mappings":{"default":{"default":"close up"}},"key":"2050"},{"category":"Po","mappings":{"default":{"default":"two asterisks aligned vertically"}},"key":"2051"},{"category":"Sm","mappings":{"default":{"default":"commercial minus"}},"key":"2052"},{"category":"Po","mappings":{"default":{"default":"swung dash"}},"key":"2053"},{"category":"Pc","mappings":{"default":{"default":"inverted undertie"}},"key":"2054"},{"category":"Po","mappings":{"default":{"default":"flower punctuation mark"}},"key":"2055"},{"category":"Po","mappings":{"default":{"default":"three dot punctuation"}},"key":"2056"},{"category":"Po","mappings":{"default":{"default":"quadruple prime"}},"key":"2057"},{"category":"Po","mappings":{"default":{"default":"four dot punctuation"}},"key":"2058"},{"category":"Po","mappings":{"default":{"default":"five dot punctuation"}},"key":"2059"},{"category":"Po","mappings":{"default":{"default":"two dot punctuation"}},"key":"205A"},{"category":"Po","mappings":{"default":{"default":"four dot mark"}},"key":"205B"},{"category":"Po","mappings":{"default":{"default":"dotted cross"}},"key":"205C"},{"category":"Po","mappings":{"default":{"default":"tricolon"}},"key":"205D"},{"category":"Po","mappings":{"default":{"default":"vertical four dots"}},"key":"205E"},{"category":"Sm","mappings":{"default":{"default":"superscript plus"}},"key":"207A"},{"category":"Sm","mappings":{"default":{"default":"superscript minus"}},"key":"207B"},{"category":"Sm","mappings":{"default":{"default":"superscript equals"}},"key":"207C"},{"category":"Ps","mappings":{"default":{"default":"superscript left parenthesis"}},"key":"207D"},{"category":"Pe","mappings":{"default":{"default":"superscript right parenthesis"}},"key":"207E"},{"category":"Sm","mappings":{"default":{"default":"subscript plus"}},"key":"208A"},{"category":"Sm","mappings":{"default":{"default":"subscript minus"}},"key":"208B"},{"category":"Sm","mappings":{"default":{"default":"subscript equals"}},"key":"208C"},{"category":"Ps","mappings":{"default":{"default":"subscript left parenthesis"}},"key":"208D"},{"category":"Pe","mappings":{"default":{"default":"subscript right parenthesis"}},"key":"208E"},{"category":"So","mappings":{"default":{"default":"property line"}},"key":"214A"},{"category":"Sm","mappings":{"default":{"default":"turned ampersand"}},"key":"214B"},{"category":"So","mappings":{"default":{"default":"per"}},"key":"214C"},{"category":"So","mappings":{"default":{"default":"aktieselskab"}},"key":"214D"},{"category":"Ll","mappings":{"default":{"default":"turned small f"}},"key":"214E"},{"category":"Sm","mappings":{"default":{"default":"for all"}},"key":"2200"},{"category":"Sm","mappings":{"default":{"default":"complement"}},"key":"2201"},{"category":"Sm","mappings":{"default":{"default":"there exists"}},"key":"2203"},{"category":"Sm","mappings":{"default":{"default":"there does not exist"}},"key":"2204"},{"category":"Sm","mappings":{"default":{"default":"empty set"}},"key":"2205"},{"category":"Sm","mappings":{"default":{"default":"increment"}},"key":"2206"},{"category":"Sm","mappings":{"default":{"default":"element of"},"clearspeak":{"default":"is a member of","SetMemberSymbol_Member":"is a member of","SetMemberSymbol_Element":"is an element of","SetMemberSymbol_In":"is in","SetMemberSymbol_Belongs":"belongs to"}},"key":"2208"},{"category":"Sm","mappings":{"default":{"default":"not an element of"},"clearspeak":{"default":"is not a member of","SetMemberSymbol_Member":"is not a member of","SetMemberSymbol_Element":"is not an element of","SetMemberSymbol_In":"is not in","SetMemberSymbol_Belongs":"does not belong to"}},"key":"2209"},{"category":"Sm","mappings":{"default":{"default":"small element of"},"clearspeak":{"default":"is a member of","SetMemberSymbol_Member":"is a member of","SetMemberSymbol_Element":"is an element of","SetMemberSymbol_In":"is in","SetMemberSymbol_Belongs":"belongs to"}},"key":"220A"},{"category":"Sm","mappings":{"default":{"default":"contains as member"}},"key":"220B"},{"category":"Sm","mappings":{"default":{"default":"does not contain as member"}},"key":"220C"},{"category":"Sm","mappings":{"default":{"default":"small contains as member"}},"key":"220D"},{"category":"Sm","mappings":{"default":{"default":"end of proof"}},"key":"220E"},{"category":"Sm","mappings":{"default":{"default":"product"}},"key":"220F"},{"category":"Sm","mappings":{"default":{"default":"coproduct"}},"key":"2210"},{"category":"Sm","mappings":{"default":{"default":"sum"},"mathspeak":{"default":"sigma summation"}},"key":"2211"},{"category":"Sm","mappings":{"default":{"default":"minus"}},"key":"2212"},{"category":"Sm","mappings":{"default":{"default":"minus or plus"}},"key":"2213"},{"category":"Sm","mappings":{"default":{"default":"dot plus"}},"key":"2214"},{"category":"Sm","mappings":{"default":{"default":"division slash"}},"key":"2215"},{"category":"Sm","mappings":{"default":{"default":"set minus"}},"key":"2216"},{"category":"Sm","mappings":{"default":{"default":"asterisk"}},"key":"2217"},{"category":"Sm","mappings":{"default":{"default":"ring"},"clearspeak":{"default":"composed with"}},"key":"2218"},{"category":"Sm","mappings":{"default":{"default":"bullet"}},"key":"2219"},{"category":"Sm","mappings":{"default":{"default":"square root"}},"key":"221A"},{"category":"Sm","mappings":{"default":{"default":"cube root"}},"key":"221B"},{"category":"Sm","mappings":{"default":{"default":"fourth root"}},"key":"221C"},{"category":"Sm","mappings":{"default":{"default":"proportional to"}},"key":"221D"},{"category":"Sm","mappings":{"default":{"default":"infinity"}},"key":"221E"},{"category":"Sm","mappings":{"default":{"default":"right angle"}},"key":"221F"},{"category":"Sm","mappings":{"default":{"default":"angle"}},"key":"2220"},{"category":"Sm","mappings":{"default":{"default":"measured angle"}},"key":"2221"},{"category":"Sm","mappings":{"default":{"default":"spherical angle"}},"key":"2222"},{"category":"Sm","mappings":{"default":{"default":"bar","alternative":"divides"}},"key":"2223"},{"category":"Sm","mappings":{"default":{"default":"does not divide"}},"key":"2224"},{"category":"Sm","mappings":{"default":{"default":"parallel to"}},"key":"2225"},{"category":"Sm","mappings":{"default":{"default":"not parallel to"}},"key":"2226"},{"category":"Sm","mappings":{"default":{"default":"and"}},"key":"2227"},{"category":"Sm","mappings":{"default":{"default":"or"}},"key":"2228"},{"category":"Sm","mappings":{"default":{"default":"intersection"}},"key":"2229"},{"category":"Sm","mappings":{"default":{"default":"union"}},"key":"222A"},{"category":"Sm","mappings":{"default":{"default":"integral"}},"key":"222B"},{"category":"Sm","mappings":{"default":{"default":"double integral"}},"key":"222C"},{"category":"Sm","mappings":{"default":{"default":"triple integral"}},"key":"222D"},{"category":"Sm","mappings":{"default":{"default":"contour integral"}},"key":"222E"},{"category":"Sm","mappings":{"default":{"default":"surface integral"}},"key":"222F"},{"category":"Sm","mappings":{"default":{"default":"volume integral"}},"key":"2230"},{"category":"Sm","mappings":{"default":{"default":"clockwise integral"}},"key":"2231"},{"category":"Sm","mappings":{"default":{"default":"clockwise contour integral"}},"key":"2232"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise contour integral"}},"key":"2233"},{"category":"Sm","mappings":{"default":{"default":"therefore"}},"key":"2234"},{"category":"Sm","mappings":{"default":{"default":"because"}},"key":"2235"},{"category":"Sm","mappings":{"default":{"default":"ratio"}},"key":"2236"},{"category":"Sm","mappings":{"default":{"default":"proportion"}},"key":"2237"},{"category":"Sm","mappings":{"default":{"default":"dot minus"}},"key":"2238"},{"category":"Sm","mappings":{"default":{"default":"excess"}},"key":"2239"},{"category":"Sm","mappings":{"default":{"default":"geometric proportion"}},"key":"223A"},{"category":"Sm","mappings":{"default":{"default":"homothetic"}},"key":"223B"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"223C"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde"}},"key":"223D"},{"category":"Sm","mappings":{"default":{"default":"inverted lazy s"}},"key":"223E"},{"category":"Sm","mappings":{"default":{"default":"sine wave"}},"key":"223F"},{"category":"Sm","mappings":{"default":{"default":"wreath product"}},"key":"2240"},{"category":"Sm","mappings":{"default":{"default":"not tilde"}},"key":"2241"},{"category":"Sm","mappings":{"default":{"default":"minus tilde"}},"key":"2242"},{"category":"Sm","mappings":{"default":{"default":"asymptotically equals"}},"key":"2243"},{"category":"Sm","mappings":{"default":{"default":"not asymptotically equals"}},"key":"2244"},{"category":"Sm","mappings":{"default":{"default":"approximately equals"}},"key":"2245"},{"category":"Sm","mappings":{"default":{"default":"approximately but not actually equals"}},"key":"2246"},{"category":"Sm","mappings":{"default":{"default":"neither approximately nor actually equals"}},"key":"2247"},{"category":"Sm","mappings":{"default":{"default":"almost equals"}},"key":"2248"},{"category":"Sm","mappings":{"default":{"default":"not almost equals"}},"key":"2249"},{"category":"Sm","mappings":{"default":{"default":"almost equal or equals"}},"key":"224A"},{"category":"Sm","mappings":{"default":{"default":"triple tilde"}},"key":"224B"},{"category":"Sm","mappings":{"default":{"default":"all equals"}},"key":"224C"},{"category":"Sm","mappings":{"default":{"default":"equivalent to"}},"key":"224D"},{"category":"Sm","mappings":{"default":{"default":"geometrically equivalent to"}},"key":"224E"},{"category":"Sm","mappings":{"default":{"default":"difference between"}},"key":"224F"},{"category":"Sm","mappings":{"default":{"default":"approaches the limit"}},"key":"2250"},{"category":"Sm","mappings":{"default":{"default":"geometrically equals"}},"key":"2251"},{"category":"Sm","mappings":{"default":{"default":"approximately equals or the image of"}},"key":"2252"},{"category":"Sm","mappings":{"default":{"default":"image of or approximately equals"}},"key":"2253"},{"category":"Sm","mappings":{"default":{"default":"colon equals"}},"key":"2254"},{"category":"Sm","mappings":{"default":{"default":"equals colon"}},"key":"2255"},{"category":"Sm","mappings":{"default":{"default":"ring in equals"}},"key":"2256"},{"category":"Sm","mappings":{"default":{"default":"ring equals"}},"key":"2257"},{"category":"Sm","mappings":{"default":{"default":"corresponds to"}},"key":"2258"},{"category":"Sm","mappings":{"default":{"default":"estimates"}},"key":"2259"},{"category":"Sm","mappings":{"default":{"default":"equiangular to"},"clearspeak":{"default":"is equiangular to"}},"key":"225A"},{"category":"Sm","mappings":{"default":{"default":"star equals"}},"key":"225B"},{"category":"Sm","mappings":{"default":{"default":"delta equals"}},"key":"225C"},{"category":"Sm","mappings":{"default":{"default":"equals by definition"},"clearspeak":{"default":"is defined to be"}},"key":"225D"},{"category":"Sm","mappings":{"default":{"default":"measured by"},"clearspeak":{"default":"is measured by"}},"key":"225E"},{"category":"Sm","mappings":{"default":{"default":"questioned equals"}},"key":"225F"},{"category":"Sm","mappings":{"default":{"default":"not equals"},"clearspeak":{"default":"is not equal to"}},"key":"2260"},{"category":"Sm","mappings":{"default":{"default":"identical to"},"clearspeak":{"default":"is identical to"}},"key":"2261"},{"category":"Sm","mappings":{"default":{"default":"not identical to"},"clearspeak":{"default":"is not identical to"}},"key":"2262"},{"category":"Sm","mappings":{"default":{"default":"strictly equivalent to"},"clearspeak":{"default":"is strictly equivalent to"}},"key":"2263"},{"category":"Sm","mappings":{"default":{"default":"less than or equals"},"clearspeak":{"default":"is less than or equal to"}},"key":"2264"},{"category":"Sm","mappings":{"default":{"default":"greater than or equals"},"clearspeak":{"default":"is greater than or equal to"}},"key":"2265"},{"category":"Sm","mappings":{"default":{"default":"less than over equals"},"clearspeak":{"default":"is less than over equals"}},"key":"2266"},{"category":"Sm","mappings":{"default":{"default":"greater than over equals"},"clearspeak":{"default":"is greater than over equals"}},"key":"2267"},{"category":"Sm","mappings":{"default":{"default":"less than but not equals"},"clearspeak":{"default":"is less than but not equal to"}},"key":"2268"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equals"},"clearspeak":{"default":"is greater than but not equal to"}},"key":"2269"},{"category":"Sm","mappings":{"default":{"default":"much less than"},"clearspeak":{"default":"is much less than"}},"key":"226A"},{"category":"Sm","mappings":{"default":{"default":"much greater than"},"clearspeak":{"default":"is much greater than"}},"key":"226B"},{"category":"Sm","mappings":{"default":{"default":"between"}},"key":"226C"},{"category":"Sm","mappings":{"default":{"default":"not equivalent to"},"clearspeak":{"default":"is not equivalent to"}},"key":"226D"},{"category":"Sm","mappings":{"default":{"default":"not less than"},"clearspeak":{"default":"is not less than"}},"key":"226E"},{"category":"Sm","mappings":{"default":{"default":"not greater than"},"clearspeak":{"default":"is not greater than"}},"key":"226F"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equals"},"clearspeak":{"default":"is neither less than nor equal to"}},"key":"2270"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equals"},"clearspeak":{"default":"is neither greater than nor equal to"}},"key":"2271"},{"category":"Sm","mappings":{"default":{"default":"less than or equivalent to"},"clearspeak":{"default":"is less than or equivalent to"}},"key":"2272"},{"category":"Sm","mappings":{"default":{"default":"greater than or equivalent to"},"clearspeak":{"default":"is greater than or equivalent to"}},"key":"2273"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equivalent to"},"clearspeak":{"default":"is neither less than nor equivalent to"}},"key":"2274"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equivalent to"},"clearspeak":{"default":"is neither greater than nor equivalent to"}},"key":"2275"},{"category":"Sm","mappings":{"default":{"default":"less than or greater than"},"clearspeak":{"default":"is less than or greater than"}},"key":"2276"},{"category":"Sm","mappings":{"default":{"default":"greater than or less than"},"clearspeak":{"default":"is greater than or less than"}},"key":"2277"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor greater than"},"clearspeak":{"default":"is neither less than nor greater than"}},"key":"2278"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor less than"},"clearspeak":{"default":"is neither greater than nor less than"}},"key":"2279"},{"category":"Sm","mappings":{"default":{"default":"precedes"}},"key":"227A"},{"category":"Sm","mappings":{"default":{"default":"succeeds"}},"key":"227B"},{"category":"Sm","mappings":{"default":{"default":"precedes or equal to"}},"key":"227C"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equal to"}},"key":"227D"},{"category":"Sm","mappings":{"default":{"default":"precedes or equivalent to"}},"key":"227E"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equivalent to"}},"key":"227F"},{"category":"Sm","mappings":{"default":{"default":"does not precede"}},"key":"2280"},{"category":"Sm","mappings":{"default":{"default":"does not succeed"}},"key":"2281"},{"category":"Sm","mappings":{"default":{"default":"subset of"}},"key":"2282"},{"category":"Sm","mappings":{"default":{"default":"superset of"}},"key":"2283"},{"category":"Sm","mappings":{"default":{"default":"not a subset of"}},"key":"2284"},{"category":"Sm","mappings":{"default":{"default":"not a superset of"}},"key":"2285"},{"category":"Sm","mappings":{"default":{"default":"subset of or equal to"}},"key":"2286"},{"category":"Sm","mappings":{"default":{"default":"superset of or equal to"}},"key":"2287"},{"category":"Sm","mappings":{"default":{"default":"neither a subset of nor equal to"}},"key":"2288"},{"category":"Sm","mappings":{"default":{"default":"neither a superset of nor equal to"}},"key":"2289"},{"category":"Sm","mappings":{"default":{"default":"subset of or not equals"}},"key":"228A"},{"category":"Sm","mappings":{"default":{"default":"superset of or not equals"}},"key":"228B"},{"category":"Sm","mappings":{"default":{"default":"multiset"}},"key":"228C"},{"category":"Sm","mappings":{"default":{"default":"multiset multiplication"}},"key":"228D"},{"category":"Sm","mappings":{"default":{"default":"multiset union"}},"key":"228E"},{"category":"Sm","mappings":{"default":{"default":"square image of"}},"key":"228F"},{"category":"Sm","mappings":{"default":{"default":"square original of"}},"key":"2290"},{"category":"Sm","mappings":{"default":{"default":"square image of or equal to"}},"key":"2291"},{"category":"Sm","mappings":{"default":{"default":"square original of or equal to"}},"key":"2292"},{"category":"Sm","mappings":{"default":{"default":"square cap"}},"key":"2293"},{"category":"Sm","mappings":{"default":{"default":"square cup"}},"key":"2294"},{"category":"Sm","mappings":{"default":{"default":"circled plus"}},"key":"2295"},{"category":"Sm","mappings":{"default":{"default":"circled minus"}},"key":"2296"},{"category":"Sm","mappings":{"default":{"default":"circled times"}},"key":"2297"},{"category":"Sm","mappings":{"default":{"default":"circled division slash"}},"key":"2298"},{"category":"Sm","mappings":{"default":{"default":"circled dot"}},"key":"2299"},{"category":"Sm","mappings":{"default":{"default":"circled ring"}},"key":"229A"},{"category":"Sm","mappings":{"default":{"default":"circled asterisk"}},"key":"229B"},{"category":"Sm","mappings":{"default":{"default":"circled equals"}},"key":"229C"},{"category":"Sm","mappings":{"default":{"default":"circled dash"}},"key":"229D"},{"category":"Sm","mappings":{"default":{"default":"squared plus"}},"key":"229E"},{"category":"Sm","mappings":{"default":{"default":"squared minus"}},"key":"229F"},{"category":"Sm","mappings":{"default":{"default":"squared times"}},"key":"22A0"},{"category":"Sm","mappings":{"default":{"default":"squared dot"}},"key":"22A1"},{"category":"Sm","mappings":{"default":{"default":"right tack"}},"key":"22A2"},{"category":"Sm","mappings":{"default":{"default":"left tack"}},"key":"22A3"},{"category":"Sm","mappings":{"default":{"default":"down tack"}},"key":"22A4"},{"category":"Sm","mappings":{"default":{"default":"up tack"}},"key":"22A5"},{"category":"Sm","mappings":{"default":{"default":"assertion"}},"key":"22A6"},{"category":"Sm","mappings":{"default":{"default":"models"}},"key":"22A7"},{"category":"Sm","mappings":{"default":{"default":"true"}},"key":"22A8"},{"category":"Sm","mappings":{"default":{"default":"forces"}},"key":"22A9"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar right turnstile"}},"key":"22AA"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double right turnstile"}},"key":"22AB"},{"category":"Sm","mappings":{"default":{"default":"does not prove"}},"key":"22AC"},{"category":"Sm","mappings":{"default":{"default":"not true"}},"key":"22AD"},{"category":"Sm","mappings":{"default":{"default":"does not force"}},"key":"22AE"},{"category":"Sm","mappings":{"default":{"default":"negated double vertical bar double right turnstile"}},"key":"22AF"},{"category":"Sm","mappings":{"default":{"default":"precedes under relation"}},"key":"22B0"},{"category":"Sm","mappings":{"default":{"default":"succeeds under relation"}},"key":"22B1"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of"}},"key":"22B2"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup"}},"key":"22B3"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of or equal to"}},"key":"22B4"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup or equal to"}},"key":"22B5"},{"category":"Sm","mappings":{"default":{"default":"original of"}},"key":"22B6"},{"category":"Sm","mappings":{"default":{"default":"image of"}},"key":"22B7"},{"category":"Sm","mappings":{"default":{"default":"multimap"}},"key":"22B8"},{"category":"Sm","mappings":{"default":{"default":"hermitian conjugate matrix"}},"key":"22B9"},{"category":"Sm","mappings":{"default":{"default":"intercalate"}},"key":"22BA"},{"category":"Sm","mappings":{"default":{"default":"xor"}},"key":"22BB"},{"category":"Sm","mappings":{"default":{"default":"nand"}},"key":"22BC"},{"category":"Sm","mappings":{"default":{"default":"nor"}},"key":"22BD"},{"category":"Sm","mappings":{"default":{"default":"right triangle"}},"key":"22BF"},{"category":"Sm","mappings":{"default":{"default":"n ary and"},"mathspeak":{"default":"and"}},"key":"22C0"},{"category":"Sm","mappings":{"default":{"default":"n ary or"},"mathspeak":{"default":"or"}},"key":"22C1"},{"category":"Sm","mappings":{"default":{"default":"n ary intersection"},"mathspeak":{"default":"intersection"}},"key":"22C2"},{"category":"Sm","mappings":{"default":{"default":"n ary union"},"mathspeak":{"default":"union"}},"key":"22C3"},{"category":"Sm","mappings":{"default":{"default":"diamond"}},"key":"22C4"},{"category":"Sm","mappings":{"default":{"default":"dot"},"clearspeak":{"default":"times","MultsymbolDot_Dot":"dot"}},"key":"22C5"},{"category":"Sm","mappings":{"default":{"default":"star"}},"key":"22C6"},{"category":"Sm","mappings":{"default":{"default":"division times"}},"key":"22C7"},{"category":"Sm","mappings":{"default":{"default":"bowtie"}},"key":"22C8"},{"category":"Sm","mappings":{"default":{"default":"left normal factor semidirect product"}},"key":"22C9"},{"category":"Sm","mappings":{"default":{"default":"right normal factor semidirect product"}},"key":"22CA"},{"category":"Sm","mappings":{"default":{"default":"left semidirect product"}},"key":"22CB"},{"category":"Sm","mappings":{"default":{"default":"right semidirect product"}},"key":"22CC"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde equals"}},"key":"22CD"},{"category":"Sm","mappings":{"default":{"default":"curly or"}},"key":"22CE"},{"category":"Sm","mappings":{"default":{"default":"curly and"}},"key":"22CF"},{"category":"Sm","mappings":{"default":{"default":"double subset"}},"key":"22D0"},{"category":"Sm","mappings":{"default":{"default":"double superset"}},"key":"22D1"},{"category":"Sm","mappings":{"default":{"default":"double intersection"}},"key":"22D2"},{"category":"Sm","mappings":{"default":{"default":"double union"}},"key":"22D3"},{"category":"Sm","mappings":{"default":{"default":"pitchfork"}},"key":"22D4"},{"category":"Sm","mappings":{"default":{"default":"equal and parallel to"},"clearspeak":{"default":"is equal and parallel to"}},"key":"22D5"},{"category":"Sm","mappings":{"default":{"default":"less than dot"},"clearspeak":{"default":"is less than dot"}},"key":"22D6"},{"category":"Sm","mappings":{"default":{"default":"greater than dot"},"clearspeak":{"default":"is greater than dot"}},"key":"22D7"},{"category":"Sm","mappings":{"default":{"default":"very much less than"},"clearspeak":{"default":"is very much less than"}},"key":"22D8"},{"category":"Sm","mappings":{"default":{"default":"very much greater than"},"clearspeak":{"default":"is very much greater than"}},"key":"22D9"},{"category":"Sm","mappings":{"default":{"default":"less than equals or greater than"},"clearspeak":{"default":"is less than equal to or greater than"}},"key":"22DA"},{"category":"Sm","mappings":{"default":{"default":"greater than equals or less than"},"clearspeak":{"default":"is greater than equal to or less than"}},"key":"22DB"},{"category":"Sm","mappings":{"default":{"default":"equals or less than"},"clearspeak":{"default":"is equal to or less than"}},"key":"22DC"},{"category":"Sm","mappings":{"default":{"default":"equals or greater than"},"clearspeak":{"default":"is equal to or greater than"}},"key":"22DD"},{"category":"Sm","mappings":{"default":{"default":"equals or precedes"},"clearspeak":{"default":"is equal to or precedes"}},"key":"22DE"},{"category":"Sm","mappings":{"default":{"default":"equals or succeeds"},"clearspeak":{"default":"is equal to or succeeds"}},"key":"22DF"},{"category":"Sm","mappings":{"default":{"default":"does not precede or equal"}},"key":"22E0"},{"category":"Sm","mappings":{"default":{"default":"does not succeed or equal"}},"key":"22E1"},{"category":"Sm","mappings":{"default":{"default":"not square image of or equals"},"clearspeak":{"default":"is not square image of or equal to"}},"key":"22E2"},{"category":"Sm","mappings":{"default":{"default":"not square original of or equals"},"clearspeak":{"default":"is not square original of or equal to"}},"key":"22E3"},{"category":"Sm","mappings":{"default":{"default":"square image of or not equals"},"clearspeak":{"default":"is square image of or not equal to"}},"key":"22E4"},{"category":"Sm","mappings":{"default":{"default":"square original of or not equals"},"clearspeak":{"default":"is square original of or not equal to"}},"key":"22E5"},{"category":"Sm","mappings":{"default":{"default":"less than but not equivalent to"},"clearspeak":{"default":"is less than but not equivalent to"}},"key":"22E6"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equivalent to"},"clearspeak":{"default":"is greater than but not equivalent to"}},"key":"22E7"},{"category":"Sm","mappings":{"default":{"default":"precedes but not equivalent to"}},"key":"22E8"},{"category":"Sm","mappings":{"default":{"default":"succeeds but not equivalent to"}},"key":"22E9"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of"},"clearspeak":{"default":"is not normal subgroup of"}},"key":"22EA"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup"}},"key":"22EB"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of or equals"},"clearspeak":{"default":"is not normal subgroup of or equal to"}},"key":"22EC"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup or equal"}},"key":"22ED"},{"category":"Sm","mappings":{"default":{"default":"vertical ellipsis"}},"key":"22EE"},{"category":"Sm","mappings":{"default":{"default":"midline horizontal ellipsis"},"clearspeak":{"default":"dot dot dot"}},"key":"22EF"},{"category":"Sm","mappings":{"default":{"default":"up right diagonal ellipsis"}},"key":"22F0"},{"category":"Sm","mappings":{"default":{"default":"down right diagonal ellipsis"}},"key":"22F1"},{"category":"Sm","mappings":{"default":{"default":"element of with long horizontal stroke"}},"key":"22F2"},{"category":"Sm","mappings":{"default":{"default":"element of with vertical bar at end of horizontal stroke"}},"key":"22F3"},{"category":"Sm","mappings":{"default":{"default":"small element of with vertical bar at end of horizontal stroke"}},"key":"22F4"},{"category":"Sm","mappings":{"default":{"default":"element of with dot above"}},"key":"22F5"},{"category":"Sm","mappings":{"default":{"default":"element of with overbar"}},"key":"22F6"},{"category":"Sm","mappings":{"default":{"default":"small element of with overbar"}},"key":"22F7"},{"category":"Sm","mappings":{"default":{"default":"element of with underbar"}},"key":"22F8"},{"category":"Sm","mappings":{"default":{"default":"element of with two horizontal strokes"}},"key":"22F9"},{"category":"Sm","mappings":{"default":{"default":"contains with long horizontal stroke"}},"key":"22FA"},{"category":"Sm","mappings":{"default":{"default":"contains with vertical bar at end of horizontal stroke"}},"key":"22FB"},{"category":"Sm","mappings":{"default":{"default":"small contains with vertical bar at end of horizontal stroke"}},"key":"22FC"},{"category":"Sm","mappings":{"default":{"default":"contains with overbar"}},"key":"22FD"},{"category":"Sm","mappings":{"default":{"default":"small contains with overbar"}},"key":"22FE"},{"category":"Sm","mappings":{"default":{"default":"z notation bag membership"}},"key":"22FF"},{"category":"So","mappings":{"default":{"default":"diameter sign"}},"key":"2300"},{"category":"So","mappings":{"default":{"default":"house"}},"key":"2302"},{"category":"So","mappings":{"default":{"default":"projective"}},"key":"2305"},{"category":"So","mappings":{"default":{"default":"perspective"}},"key":"2306"},{"category":"So","mappings":{"default":{"default":"wavy line"}},"key":"2307"},{"category":"So","mappings":{"default":{"default":"reversed not"}},"key":"2310"},{"category":"So","mappings":{"default":{"default":"square lozenge"}},"key":"2311"},{"category":"So","mappings":{"default":{"default":"arc"}},"key":"2312"},{"category":"So","mappings":{"default":{"default":"segment"}},"key":"2313"},{"category":"So","mappings":{"default":{"default":"sector"}},"key":"2314"},{"category":"So","mappings":{"default":{"default":"bold plus"}},"key":"2795"},{"category":"So","mappings":{"default":{"default":"bold minus"}},"key":"2796"},{"category":"So","mappings":{"default":{"default":"bold division"}},"key":"2797"},{"category":"So","mappings":{"default":{"default":"curly loop"}},"key":"27B0"},{"category":"So","mappings":{"default":{"default":"double curly loop"}},"key":"27BF"},{"category":"Sm","mappings":{"default":{"default":"white triangle containing small white triangle"}},"key":"27C1"},{"category":"Sm","mappings":{"default":{"default":"perpendicular"}},"key":"27C2"},{"category":"Sm","mappings":{"default":{"default":"open subset"}},"key":"27C3"},{"category":"Sm","mappings":{"default":{"default":"open superset"}},"key":"27C4"},{"category":"Sm","mappings":{"default":{"default":"or with dot inside"}},"key":"27C7"},{"category":"Sm","mappings":{"default":{"default":"backslash preceding subset"}},"key":"27C8"},{"category":"Sm","mappings":{"default":{"default":"superset preceding solidus"}},"key":"27C9"},{"category":"Sm","mappings":{"default":{"default":"vertical bar with horizontal stroke"}},"key":"27CA"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal"}},"key":"27CB"},{"category":"Sm","mappings":{"default":{"default":"long division"}},"key":"27CC"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal"}},"key":"27CD"},{"category":"Sm","mappings":{"default":{"default":"squared and"}},"key":"27CE"},{"category":"Sm","mappings":{"default":{"default":"squared or"}},"key":"27CF"},{"category":"Sm","mappings":{"default":{"default":"white diamond with centered dot"}},"key":"27D0"},{"category":"Sm","mappings":{"default":{"default":"and with dot"}},"key":"27D1"},{"category":"Sm","mappings":{"default":{"default":"element of opening upwards"}},"key":"27D2"},{"category":"Sm","mappings":{"default":{"default":"lower right corner with dot"}},"key":"27D3"},{"category":"Sm","mappings":{"default":{"default":"upper left corner with dot"}},"key":"27D4"},{"category":"Sm","mappings":{"default":{"default":"left outer join"}},"key":"27D5"},{"category":"Sm","mappings":{"default":{"default":"right outer join"}},"key":"27D6"},{"category":"Sm","mappings":{"default":{"default":"full outer join"}},"key":"27D7"},{"category":"Sm","mappings":{"default":{"default":"large up tack"}},"key":"27D8"},{"category":"Sm","mappings":{"default":{"default":"large down tack"}},"key":"27D9"},{"category":"Sm","mappings":{"default":{"default":"left and right double turnstile"}},"key":"27DA"},{"category":"Sm","mappings":{"default":{"default":"left and right tack"}},"key":"27DB"},{"category":"Sm","mappings":{"default":{"default":"left multimap"}},"key":"27DC"},{"category":"Sm","mappings":{"default":{"default":"long right tack"}},"key":"27DD"},{"category":"Sm","mappings":{"default":{"default":"long left tack"}},"key":"27DE"},{"category":"Sm","mappings":{"default":{"default":"up tack with circle above"}},"key":"27DF"},{"category":"Sm","mappings":{"default":{"default":"lozenge divided by horizontal rule"}},"key":"27E0"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond"}},"key":"27E1"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with leftwards tick"}},"key":"27E2"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with rightwards tick"}},"key":"27E3"},{"category":"Sm","mappings":{"default":{"default":"white square with leftwards tick"}},"key":"27E4"},{"category":"Sm","mappings":{"default":{"default":"white square with rightwards tick"}},"key":"27E5"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing falling diagonal"}},"key":"292B"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing rising diagonal"}},"key":"292C"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar delimiter"}},"key":"2980"},{"category":"Sm","mappings":{"default":{"default":"z notation spot"}},"key":"2981"},{"category":"Sm","mappings":{"default":{"default":"z notation type colon"}},"key":"2982"},{"category":"Sm","mappings":{"default":{"default":"dotted fence"}},"key":"2999"},{"category":"Sm","mappings":{"default":{"default":"vertical zigzag line"}},"key":"299A"},{"category":"Sm","mappings":{"default":{"default":"reversed empty set"}},"key":"29B0"},{"category":"Sm","mappings":{"default":{"default":"empty set with overbar"}},"key":"29B1"},{"category":"Sm","mappings":{"default":{"default":"empty set with small circle above"}},"key":"29B2"},{"category":"Sm","mappings":{"default":{"default":"circle with horizontal bar"}},"key":"29B5"},{"category":"Sm","mappings":{"default":{"default":"circled vertical bar"}},"key":"29B6"},{"category":"Sm","mappings":{"default":{"default":"circled parallel"}},"key":"29B7"},{"category":"Sm","mappings":{"default":{"default":"circled backslash"}},"key":"29B8"},{"category":"Sm","mappings":{"default":{"default":"circled perpendicular"}},"key":"29B9"},{"category":"Sm","mappings":{"default":{"default":"circle divided by horizontal bar and top half divided by vertical bar"}},"key":"29BA"},{"category":"Sm","mappings":{"default":{"default":"circle with superimposed x"}},"key":"29BB"},{"category":"Sm","mappings":{"default":{"default":"circled anticlockwise rotated division"}},"key":"29BC"},{"category":"Sm","mappings":{"default":{"default":"circled white bullet"}},"key":"29BE"},{"category":"Sm","mappings":{"default":{"default":"circled bullet"}},"key":"29BF"},{"category":"Sm","mappings":{"default":{"default":"circled less than"}},"key":"29C0"},{"category":"Sm","mappings":{"default":{"default":"circled greater than"}},"key":"29C1"},{"category":"Sm","mappings":{"default":{"default":"circle with small circle to the right"}},"key":"29C2"},{"category":"Sm","mappings":{"default":{"default":"circle with two horizontal strokes to the right"}},"key":"29C3"},{"category":"Sm","mappings":{"default":{"default":"squared rising diagonal slash"}},"key":"29C4"},{"category":"Sm","mappings":{"default":{"default":"squared falling diagonal slash"}},"key":"29C5"},{"category":"Sm","mappings":{"default":{"default":"squared asterisk"}},"key":"29C6"},{"category":"Sm","mappings":{"default":{"default":"squared small circle"}},"key":"29C7"},{"category":"Sm","mappings":{"default":{"default":"squared square"}},"key":"29C8"},{"category":"Sm","mappings":{"default":{"default":"two joined squares"}},"key":"29C9"},{"category":"Sm","mappings":{"default":{"default":"triangle with dot above"}},"key":"29CA"},{"category":"Sm","mappings":{"default":{"default":"triangle with underbar"}},"key":"29CB"},{"category":"Sm","mappings":{"default":{"default":"s in triangle"}},"key":"29CC"},{"category":"Sm","mappings":{"default":{"default":"triangle with serifs at bottom"}},"key":"29CD"},{"category":"Sm","mappings":{"default":{"default":"right triangle above left triangle"}},"key":"29CE"},{"category":"Sm","mappings":{"default":{"default":"left triangle beside vertical bar"}},"key":"29CF"},{"category":"Sm","mappings":{"default":{"default":"vertical bar beside right triangle"}},"key":"29D0"},{"category":"Sm","mappings":{"default":{"default":"bowtie with left half black"}},"key":"29D1"},{"category":"Sm","mappings":{"default":{"default":"bowtie with right half black"}},"key":"29D2"},{"category":"Sm","mappings":{"default":{"default":"black bowtie"}},"key":"29D3"},{"category":"Sm","mappings":{"default":{"default":"times with left half black"}},"key":"29D4"},{"category":"Sm","mappings":{"default":{"default":"times with right half black"}},"key":"29D5"},{"category":"Sm","mappings":{"default":{"default":"white hourglass"}},"key":"29D6"},{"category":"Sm","mappings":{"default":{"default":"black hourglass"}},"key":"29D7"},{"category":"Sm","mappings":{"default":{"default":"incomplete infinity"}},"key":"29DC"},{"category":"Sm","mappings":{"default":{"default":"tie over infinity"}},"key":"29DD"},{"category":"Sm","mappings":{"default":{"default":"infinity negated with vertical bar"}},"key":"29DE"},{"category":"Sm","mappings":{"default":{"default":"double ended multimap"}},"key":"29DF"},{"category":"Sm","mappings":{"default":{"default":"square with contoured outline"}},"key":"29E0"},{"category":"Sm","mappings":{"default":{"default":"increases as"}},"key":"29E1"},{"category":"Sm","mappings":{"default":{"default":"shuffle product"}},"key":"29E2"},{"category":"Sm","mappings":{"default":{"default":"equals and slanted parallel"}},"key":"29E3"},{"category":"Sm","mappings":{"default":{"default":"equals and slanted parallel with tilde above"}},"key":"29E4"},{"category":"Sm","mappings":{"default":{"default":"identical to and slanted parallel"}},"key":"29E5"},{"category":"Sm","mappings":{"default":{"default":"gleich stark"}},"key":"29E6"},{"category":"Sm","mappings":{"default":{"default":"thermodynamic"}},"key":"29E7"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with left half black"}},"key":"29E8"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with right half black"}},"key":"29E9"},{"category":"Sm","mappings":{"default":{"default":"black lozenge"}},"key":"29EB"},{"category":"Sm","mappings":{"default":{"default":"error barred white square"}},"key":"29EE"},{"category":"Sm","mappings":{"default":{"default":"error barred black square"}},"key":"29EF"},{"category":"Sm","mappings":{"default":{"default":"error barred white diamond"}},"key":"29F0"},{"category":"Sm","mappings":{"default":{"default":"error barred black diamond"}},"key":"29F1"},{"category":"Sm","mappings":{"default":{"default":"error barred white circle"}},"key":"29F2"},{"category":"Sm","mappings":{"default":{"default":"error barred black circle"}},"key":"29F3"},{"category":"Sm","mappings":{"default":{"default":"rule delayed"}},"key":"29F4"},{"category":"Sm","mappings":{"default":{"default":"backslash"}},"key":"29F5"},{"category":"Sm","mappings":{"default":{"default":"solidus with overbar"}},"key":"29F6"},{"category":"Sm","mappings":{"default":{"default":"backslash with horizontal stroke"}},"key":"29F7"},{"category":"Sm","mappings":{"default":{"default":"big solidus"},"mathspeak":{"default":"solidus"}},"key":"29F8"},{"category":"Sm","mappings":{"default":{"default":"big backslash"},"mathspeak":{"default":"backslash"}},"key":"29F9"},{"category":"Sm","mappings":{"default":{"default":"double plus"}},"key":"29FA"},{"category":"Sm","mappings":{"default":{"default":"triple plus"}},"key":"29FB"},{"category":"Sm","mappings":{"default":{"default":"tiny"}},"key":"29FE"},{"category":"Sm","mappings":{"default":{"default":"miny"}},"key":"29FF"},{"category":"Sm","mappings":{"default":{"default":"n ary circled dot"},"mathspeak":{"default":"circled dot"}},"key":"2A00"},{"category":"Sm","mappings":{"default":{"default":"n ary circled plus"},"mathspeak":{"default":"circled plus"}},"key":"2A01"},{"category":"Sm","mappings":{"default":{"default":"n ary circled times"},"mathspeak":{"default":"circled times"}},"key":"2A02"},{"category":"Sm","mappings":{"default":{"default":"n ary union with dot"},"mathspeak":{"default":"union with dot"}},"key":"2A03"},{"category":"Sm","mappings":{"default":{"default":"n ary union operator with plus"},"mathspeak":{"default":"union with plus"}},"key":"2A04"},{"category":"Sm","mappings":{"default":{"default":"n ary square intersection"},"mathspeak":{"default":"square intersection"}},"key":"2A05"},{"category":"Sm","mappings":{"default":{"default":"n ary square union"},"mathspeak":{"default":"square union"}},"key":"2A06"},{"category":"Sm","mappings":{"default":{"default":"two and"}},"key":"2A07"},{"category":"Sm","mappings":{"default":{"default":"two or"}},"key":"2A08"},{"category":"Sm","mappings":{"default":{"default":"n ary times"},"mathspeak":{"default":"times"}},"key":"2A09"},{"category":"Sm","mappings":{"default":{"default":"modulo two sum"}},"key":"2A0A"},{"category":"Sm","mappings":{"default":{"default":"summation with integral"}},"key":"2A0B"},{"category":"Sm","mappings":{"default":{"default":"quadruple integral"}},"key":"2A0C"},{"category":"Sm","mappings":{"default":{"default":"finite part integral"}},"key":"2A0D"},{"category":"Sm","mappings":{"default":{"default":"integral with double stroke"}},"key":"2A0E"},{"category":"Sm","mappings":{"default":{"default":"integral average with slash"}},"key":"2A0F"},{"category":"Sm","mappings":{"default":{"default":"circulation function"}},"key":"2A10"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise integration"}},"key":"2A11"},{"category":"Sm","mappings":{"default":{"default":"line integration with rectangular path around pole"}},"key":"2A12"},{"category":"Sm","mappings":{"default":{"default":"line integration with semicircular path around pole"}},"key":"2A13"},{"category":"Sm","mappings":{"default":{"default":"line integration not including the pole"}},"key":"2A14"},{"category":"Sm","mappings":{"default":{"default":"integral around a point"}},"key":"2A15"},{"category":"Sm","mappings":{"default":{"default":"quaternion integral"}},"key":"2A16"},{"category":"Sm","mappings":{"default":{"default":"integral with times"}},"key":"2A18"},{"category":"Sm","mappings":{"default":{"default":"integral with intersection"}},"key":"2A19"},{"category":"Sm","mappings":{"default":{"default":"integral with union"}},"key":"2A1A"},{"category":"Sm","mappings":{"default":{"default":"integral with overbar"}},"key":"2A1B"},{"category":"Sm","mappings":{"default":{"default":"integral with underbar"}},"key":"2A1C"},{"category":"Sm","mappings":{"default":{"default":"join"}},"key":"2A1D"},{"category":"Sm","mappings":{"default":{"default":"large left triangle"}},"key":"2A1E"},{"category":"Sm","mappings":{"default":{"default":"z notation schema composition"}},"key":"2A1F"},{"category":"Sm","mappings":{"default":{"default":"z notation schema piping"}},"key":"2A20"},{"category":"Sm","mappings":{"default":{"default":"z notation schema projection"}},"key":"2A21"},{"category":"Sm","mappings":{"default":{"default":"plus with circle above"}},"key":"2A22"},{"category":"Sm","mappings":{"default":{"default":"plus hat"}},"key":"2A23"},{"category":"Sm","mappings":{"default":{"default":"plus tilde"}},"key":"2A24"},{"category":"Sm","mappings":{"default":{"default":"plus underdot"}},"key":"2A25"},{"category":"Sm","mappings":{"default":{"default":"plus sign with tilde below"}},"key":"2A26"},{"category":"Sm","mappings":{"default":{"default":"plus sign with subscript two"}},"key":"2A27"},{"category":"Sm","mappings":{"default":{"default":"plus sign with black triangle"}},"key":"2A28"},{"category":"Sm","mappings":{"default":{"default":"minus sign with comma above"}},"key":"2A29"},{"category":"Sm","mappings":{"default":{"default":"minus sign with dot below"}},"key":"2A2A"},{"category":"Sm","mappings":{"default":{"default":"minus sign with falling dots"}},"key":"2A2B"},{"category":"Sm","mappings":{"default":{"default":"minus sign with rising dots"}},"key":"2A2C"},{"category":"Sm","mappings":{"default":{"default":"plus sign in left half circle"}},"key":"2A2D"},{"category":"Sm","mappings":{"default":{"default":"plus sign in right half circle"}},"key":"2A2E"},{"category":"Sm","mappings":{"default":{"default":"vector or cross product"}},"key":"2A2F"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with dot above"}},"key":"2A30"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with underbar"}},"key":"2A31"},{"category":"Sm","mappings":{"default":{"default":"semidirect product with bottom closed"}},"key":"2A32"},{"category":"Sm","mappings":{"default":{"default":"smash product"}},"key":"2A33"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in left half circle"}},"key":"2A34"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in right half circle"}},"key":"2A35"},{"category":"Sm","mappings":{"default":{"default":"circled multiplication sign with circumflex accent"}},"key":"2A36"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in double circle"}},"key":"2A37"},{"category":"Sm","mappings":{"default":{"default":"circled division"}},"key":"2A38"},{"category":"Sm","mappings":{"default":{"default":"plus sign in triangle"}},"key":"2A39"},{"category":"Sm","mappings":{"default":{"default":"minus sign in triangle"}},"key":"2A3A"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in triangle"}},"key":"2A3B"},{"category":"Sm","mappings":{"default":{"default":"interior product"}},"key":"2A3C"},{"category":"Sm","mappings":{"default":{"default":"righthand interior product"}},"key":"2A3D"},{"category":"Sm","mappings":{"default":{"default":"z notation relational composition"}},"key":"2A3E"},{"category":"Sm","mappings":{"default":{"default":"amalgamation or coproduct"}},"key":"2A3F"},{"category":"Sm","mappings":{"default":{"default":"intersection with dot"}},"key":"2A40"},{"category":"Sm","mappings":{"default":{"default":"union with minus"}},"key":"2A41"},{"category":"Sm","mappings":{"default":{"default":"union with overbar"}},"key":"2A42"},{"category":"Sm","mappings":{"default":{"default":"intersection with overbar"}},"key":"2A43"},{"category":"Sm","mappings":{"default":{"default":"intersection with and"}},"key":"2A44"},{"category":"Sm","mappings":{"default":{"default":"union with or"}},"key":"2A45"},{"category":"Sm","mappings":{"default":{"default":"union above intersection"}},"key":"2A46"},{"category":"Sm","mappings":{"default":{"default":"intersection above union"}},"key":"2A47"},{"category":"Sm","mappings":{"default":{"default":"union above bar above intersection"}},"key":"2A48"},{"category":"Sm","mappings":{"default":{"default":"intersection above bar above union"}},"key":"2A49"},{"category":"Sm","mappings":{"default":{"default":"union beside and joined with union"}},"key":"2A4A"},{"category":"Sm","mappings":{"default":{"default":"intersection beside and joined with intersection"}},"key":"2A4B"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs"}},"key":"2A4C"},{"category":"Sm","mappings":{"default":{"default":"closed intersection with serifs"}},"key":"2A4D"},{"category":"Sm","mappings":{"default":{"default":"double square intersection"}},"key":"2A4E"},{"category":"Sm","mappings":{"default":{"default":"double square union"}},"key":"2A4F"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs and smash product"}},"key":"2A50"},{"category":"Sm","mappings":{"default":{"default":"and with dot above"}},"key":"2A51"},{"category":"Sm","mappings":{"default":{"default":"or with dot above"}},"key":"2A52"},{"category":"Sm","mappings":{"default":{"default":"double and"}},"key":"2A53"},{"category":"Sm","mappings":{"default":{"default":"double or"}},"key":"2A54"},{"category":"Sm","mappings":{"default":{"default":"two intersecting and"}},"key":"2A55"},{"category":"Sm","mappings":{"default":{"default":"two intersecting or"}},"key":"2A56"},{"category":"Sm","mappings":{"default":{"default":"sloping large or"}},"key":"2A57"},{"category":"Sm","mappings":{"default":{"default":"sloping large and"}},"key":"2A58"},{"category":"Sm","mappings":{"default":{"default":"or overlapping and"}},"key":"2A59"},{"category":"Sm","mappings":{"default":{"default":"and with middle stem"}},"key":"2A5A"},{"category":"Sm","mappings":{"default":{"default":"or with middle stem"}},"key":"2A5B"},{"category":"Sm","mappings":{"default":{"default":"and with horizontal dash"}},"key":"2A5C"},{"category":"Sm","mappings":{"default":{"default":"or with horizontal dash"}},"key":"2A5D"},{"category":"Sm","mappings":{"default":{"default":"and with double overbar"}},"key":"2A5E"},{"category":"Sm","mappings":{"default":{"default":"and with underbar"}},"key":"2A5F"},{"category":"Sm","mappings":{"default":{"default":"and with double underbar"}},"key":"2A60"},{"category":"Sm","mappings":{"default":{"default":"small vee with underbar"}},"key":"2A61"},{"category":"Sm","mappings":{"default":{"default":"or with double overbar"}},"key":"2A62"},{"category":"Sm","mappings":{"default":{"default":"or with double underbar"}},"key":"2A63"},{"category":"Sm","mappings":{"default":{"default":"z notation domain antirestriction"}},"key":"2A64"},{"category":"Sm","mappings":{"default":{"default":"z notation range antirestriction"}},"key":"2A65"},{"category":"Sm","mappings":{"default":{"default":"equals sign with dot below"}},"key":"2A66"},{"category":"Sm","mappings":{"default":{"default":"identical with dot above"}},"key":"2A67"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with double vertical stroke"}},"key":"2A68"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with triple vertical stroke"}},"key":"2A69"},{"category":"Sm","mappings":{"default":{"default":"tilde with dot above"}},"key":"2A6A"},{"category":"Sm","mappings":{"default":{"default":"tilde with rising dots"}},"key":"2A6B"},{"category":"Sm","mappings":{"default":{"default":"similar minus similar"}},"key":"2A6C"},{"category":"Sm","mappings":{"default":{"default":"congruent with dot above"}},"key":"2A6D"},{"category":"Sm","mappings":{"default":{"default":"equals with asterisk"}},"key":"2A6E"},{"category":"Sm","mappings":{"default":{"default":"almost equal hat"}},"key":"2A6F"},{"category":"Sm","mappings":{"default":{"default":"approximately equal or equal to"}},"key":"2A70"},{"category":"Sm","mappings":{"default":{"default":"equals above plus"}},"key":"2A71"},{"category":"Sm","mappings":{"default":{"default":"plus above equals"}},"key":"2A72"},{"category":"Sm","mappings":{"default":{"default":"equals above tilde"}},"key":"2A73"},{"category":"Sm","mappings":{"default":{"default":"double colon equal"}},"key":"2A74"},{"category":"Sm","mappings":{"default":{"default":"two consecutive equals"}},"key":"2A75"},{"category":"Sm","mappings":{"default":{"default":"three consecutive equals"}},"key":"2A76"},{"category":"Sm","mappings":{"default":{"default":"equals sign with two dots above and two dots below"}},"key":"2A77"},{"category":"Sm","mappings":{"default":{"default":"equivalent with four dots above"}},"key":"2A78"},{"category":"Sm","mappings":{"default":{"default":"less than with circle inside"}},"key":"2A79"},{"category":"Sm","mappings":{"default":{"default":"greater than with circle inside"}},"key":"2A7A"},{"category":"Sm","mappings":{"default":{"default":"less than with question mark above"}},"key":"2A7B"},{"category":"Sm","mappings":{"default":{"default":"greater than with question mark above"}},"key":"2A7C"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals"}},"key":"2A7D"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals"}},"key":"2A7E"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot inside"}},"key":"2A7F"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot inside"}},"key":"2A80"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above"}},"key":"2A81"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above"}},"key":"2A82"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above right"}},"key":"2A83"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above left"}},"key":"2A84"},{"category":"Sm","mappings":{"default":{"default":"less than or approximate"}},"key":"2A85"},{"category":"Sm","mappings":{"default":{"default":"greater than or approximate"}},"key":"2A86"},{"category":"Sm","mappings":{"default":{"default":"less than and single line not equals"}},"key":"2A87"},{"category":"Sm","mappings":{"default":{"default":"greater than and single line not equals"}},"key":"2A88"},{"category":"Sm","mappings":{"default":{"default":"less than and not approximate"}},"key":"2A89"},{"category":"Sm","mappings":{"default":{"default":"greater than and not approximate"}},"key":"2A8A"},{"category":"Sm","mappings":{"default":{"default":"less than above double line equal above greater than"}},"key":"2A8B"},{"category":"Sm","mappings":{"default":{"default":"greater than above double line equal above less than"}},"key":"2A8C"},{"category":"Sm","mappings":{"default":{"default":"less than above similar or equal"}},"key":"2A8D"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar or equal"}},"key":"2A8E"},{"category":"Sm","mappings":{"default":{"default":"less than above similar above greater than"}},"key":"2A8F"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar above less than"}},"key":"2A90"},{"category":"Sm","mappings":{"default":{"default":"less than above greater than above double line equal"}},"key":"2A91"},{"category":"Sm","mappings":{"default":{"default":"greater than above less than above double line equal"}},"key":"2A92"},{"category":"Sm","mappings":{"default":{"default":"less than above slanted equal above greater than above slanted equal"}},"key":"2A93"},{"category":"Sm","mappings":{"default":{"default":"greater than above slanted equal above less than above slanted equal"}},"key":"2A94"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than"}},"key":"2A95"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than"}},"key":"2A96"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than with dot inside"}},"key":"2A97"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than with dot inside"}},"key":"2A98"},{"category":"Sm","mappings":{"default":{"default":"double line equals or less than"}},"key":"2A99"},{"category":"Sm","mappings":{"default":{"default":"double line equals or greater than"}},"key":"2A9A"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or less than"}},"key":"2A9B"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or greater than"}},"key":"2A9C"},{"category":"Sm","mappings":{"default":{"default":"similar or less than"}},"key":"2A9D"},{"category":"Sm","mappings":{"default":{"default":"similar or greater than"}},"key":"2A9E"},{"category":"Sm","mappings":{"default":{"default":"similar above less than above equals sign"}},"key":"2A9F"},{"category":"Sm","mappings":{"default":{"default":"similar above greater than above equals sign"}},"key":"2AA0"},{"category":"Sm","mappings":{"default":{"default":"double nested less than"}},"key":"2AA1"},{"category":"Sm","mappings":{"default":{"default":"double nested greater than"}},"key":"2AA2"},{"category":"Sm","mappings":{"default":{"default":"double nested less than with underbar"}},"key":"2AA3"},{"category":"Sm","mappings":{"default":{"default":"greater than overlapping less than"}},"key":"2AA4"},{"category":"Sm","mappings":{"default":{"default":"greater than beside less than"}},"key":"2AA5"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve"}},"key":"2AA6"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve"}},"key":"2AA7"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve above slanted equal"}},"key":"2AA8"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve above slanted equal"}},"key":"2AA9"},{"category":"Sm","mappings":{"default":{"default":"smaller than"},"clearspeak":{"default":"is smaller than"}},"key":"2AAA"},{"category":"Sm","mappings":{"default":{"default":"larger than"},"clearspeak":{"default":"is larger than"}},"key":"2AAB"},{"category":"Sm","mappings":{"default":{"default":"smaller than or equals"},"clearspeak":{"default":"is smaller than or equal to"}},"key":"2AAC"},{"category":"Sm","mappings":{"default":{"default":"larger than or equal"},"clearspeak":{"default":"is larger than or equal to"}},"key":"2AAD"},{"category":"Sm","mappings":{"default":{"default":"equals with bumpy above"}},"key":"2AAE"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line equals sign"}},"key":"2AAF"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line equals sign"}},"key":"2AB0"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line not equals"}},"key":"2AB1"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line not equals"}},"key":"2AB2"},{"category":"Sm","mappings":{"default":{"default":"precedes above equals"}},"key":"2AB3"},{"category":"Sm","mappings":{"default":{"default":"succeeds above equals"}},"key":"2AB4"},{"category":"Sm","mappings":{"default":{"default":"precedes above not equals"}},"key":"2AB5"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not equals"}},"key":"2AB6"},{"category":"Sm","mappings":{"default":{"default":"precedes above almost equals"}},"key":"2AB7"},{"category":"Sm","mappings":{"default":{"default":"succeeds above almost equals"}},"key":"2AB8"},{"category":"Sm","mappings":{"default":{"default":"precedes above not almost equals"}},"key":"2AB9"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not almost equals"}},"key":"2ABA"},{"category":"Sm","mappings":{"default":{"default":"double precedes"}},"key":"2ABB"},{"category":"Sm","mappings":{"default":{"default":"double succeeds"}},"key":"2ABC"},{"category":"Sm","mappings":{"default":{"default":"subset with dot"}},"key":"2ABD"},{"category":"Sm","mappings":{"default":{"default":"superset with dot"}},"key":"2ABE"},{"category":"Sm","mappings":{"default":{"default":"subset with plus sign below"}},"key":"2ABF"},{"category":"Sm","mappings":{"default":{"default":"superset with plus sign below"}},"key":"2AC0"},{"category":"Sm","mappings":{"default":{"default":"subset with multiplication sign below"}},"key":"2AC1"},{"category":"Sm","mappings":{"default":{"default":"superset with multiplication sign below"}},"key":"2AC2"},{"category":"Sm","mappings":{"default":{"default":"subset of or equals with dot above"}},"key":"2AC3"},{"category":"Sm","mappings":{"default":{"default":"superset of or equals with dot above"}},"key":"2AC4"},{"category":"Sm","mappings":{"default":{"default":"subset of above equals sign"}},"key":"2AC5"},{"category":"Sm","mappings":{"default":{"default":"superset of above equals sign"}},"key":"2AC6"},{"category":"Sm","mappings":{"default":{"default":"subset of above tilde"}},"key":"2AC7"},{"category":"Sm","mappings":{"default":{"default":"superset of above tilde"}},"key":"2AC8"},{"category":"Sm","mappings":{"default":{"default":"subset of above almost equals"}},"key":"2AC9"},{"category":"Sm","mappings":{"default":{"default":"superset of above almost equals"}},"key":"2ACA"},{"category":"Sm","mappings":{"default":{"default":"subset of above not equals"}},"key":"2ACB"},{"category":"Sm","mappings":{"default":{"default":"superset of above not equals"}},"key":"2ACC"},{"category":"Sm","mappings":{"default":{"default":"square left open box"}},"key":"2ACD"},{"category":"Sm","mappings":{"default":{"default":"square right open box"}},"key":"2ACE"},{"category":"Sm","mappings":{"default":{"default":"closed subset"}},"key":"2ACF"},{"category":"Sm","mappings":{"default":{"default":"closed superset"}},"key":"2AD0"},{"category":"Sm","mappings":{"default":{"default":"closed subset or equals"}},"key":"2AD1"},{"category":"Sm","mappings":{"default":{"default":"closed superset or equals"}},"key":"2AD2"},{"category":"Sm","mappings":{"default":{"default":"subset above superset"}},"key":"2AD3"},{"category":"Sm","mappings":{"default":{"default":"superset above subset"}},"key":"2AD4"},{"category":"Sm","mappings":{"default":{"default":"subset above subset"}},"key":"2AD5"},{"category":"Sm","mappings":{"default":{"default":"superset above superset"}},"key":"2AD6"},{"category":"Sm","mappings":{"default":{"default":"superset beside subset"}},"key":"2AD7"},{"category":"Sm","mappings":{"default":{"default":"superset beside and joined by dash with subset"}},"key":"2AD8"},{"category":"Sm","mappings":{"default":{"default":"element of opening downwards"}},"key":"2AD9"},{"category":"Sm","mappings":{"default":{"default":"pitchfork with tee top"}},"key":"2ADA"},{"category":"Sm","mappings":{"default":{"default":"transversal intersection"}},"key":"2ADB"},{"category":"Sm","mappings":{"default":{"default":"forking"}},"key":"2ADC"},{"category":"Sm","mappings":{"default":{"default":"nonforking"}},"key":"2ADD"},{"category":"Sm","mappings":{"default":{"default":"short left tack"}},"key":"2ADE"},{"category":"Sm","mappings":{"default":{"default":"short down tack"}},"key":"2ADF"},{"category":"Sm","mappings":{"default":{"default":"short up tack"}},"key":"2AE0"},{"category":"Sm","mappings":{"default":{"default":"perpendicular with s"}},"key":"2AE1"},{"category":"Sm","mappings":{"default":{"default":"vertical bar triple right turnstile"}},"key":"2AE2"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar left turnstile"}},"key":"2AE3"},{"category":"Sm","mappings":{"default":{"default":"vertical bar double left turnstile"}},"key":"2AE4"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double left turnstile"}},"key":"2AE5"},{"category":"Sm","mappings":{"default":{"default":"long dash from left member of double vertical"}},"key":"2AE6"},{"category":"Sm","mappings":{"default":{"default":"short down tack with overbar"}},"key":"2AE7"},{"category":"Sm","mappings":{"default":{"default":"short up tack with underbar"}},"key":"2AE8"},{"category":"Sm","mappings":{"default":{"default":"short up tack above short down tack"}},"key":"2AE9"},{"category":"Sm","mappings":{"default":{"default":"double down tack"}},"key":"2AEA"},{"category":"Sm","mappings":{"default":{"default":"double up tack"}},"key":"2AEB"},{"category":"Sm","mappings":{"default":{"default":"double stroke not sign"}},"key":"2AEC"},{"category":"Sm","mappings":{"default":{"default":"reversed double stroke not sign"}},"key":"2AED"},{"category":"Sm","mappings":{"default":{"default":"does not divide with reversed negation slash"}},"key":"2AEE"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle above"}},"key":"2AEF"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle below"}},"key":"2AF0"},{"category":"Sm","mappings":{"default":{"default":"down tack with circle below"}},"key":"2AF1"},{"category":"Sm","mappings":{"default":{"default":"parallel with horizontal stroke"}},"key":"2AF2"},{"category":"Sm","mappings":{"default":{"default":"parallel with tilde"}},"key":"2AF3"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar binary relation"}},"key":"2AF4"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar with horizontal stroke"}},"key":"2AF5"},{"category":"Sm","mappings":{"default":{"default":"triple colon"}},"key":"2AF6"},{"category":"Sm","mappings":{"default":{"default":"triple nested less than"}},"key":"2AF7"},{"category":"Sm","mappings":{"default":{"default":"triple nested greater than"}},"key":"2AF8"},{"category":"Sm","mappings":{"default":{"default":"double line slanted less than or equals"}},"key":"2AF9"},{"category":"Sm","mappings":{"default":{"default":"double line slanted greater than or equals"}},"key":"2AFA"},{"category":"Sm","mappings":{"default":{"default":"triple solidus binary relation"}},"key":"2AFB"},{"category":"Sm","mappings":{"default":{"default":"large triple vertical bar"}},"key":"2AFC"},{"category":"Sm","mappings":{"default":{"default":"double solidus"}},"key":"2AFD"},{"category":"Sm","mappings":{"default":{"default":"white vertical bar"}},"key":"2AFE"},{"category":"Sm","mappings":{"default":{"default":"n ary white vertical bar"},"mathspeak":{"default":"white vertical bar"}},"key":"2AFF"},{"category":"Pd","mappings":{"default":{"default":"wave dash"}},"key":"301C"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical comma"}},"key":"FE10"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical colon"}},"key":"FE13"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical semicolon"}},"key":"FE14"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical exclamation mark"}},"key":"FE15"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical question mark"}},"key":"FE16"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical horizontal ellipsis"}},"key":"FE19"},{"category":"Po","mappings":{"default":{"default":"glyph for vertical two dot leader"}},"key":"FE30"},{"category":"Pd","mappings":{"default":{"default":"glyph for vertical em dash"}},"key":"FE31"},{"category":"Pd","mappings":{"default":{"default":"glyph for vertical en dash"}},"key":"FE32"},{"category":"Pc","mappings":{"default":{"default":"glyph for vertical underline"}},"key":"FE33"},{"category":"Pc","mappings":{"default":{"default":"glyph for vertical wavy underline"}},"key":"FE34"},{"category":"Po","mappings":{"default":{"default":"sesame dot"}},"key":"FE45"},{"category":"Po","mappings":{"default":{"default":"white sesame dot"}},"key":"FE46"},{"category":"Po","mappings":{"default":{"default":"dashed overline"}},"key":"FE49"},{"category":"Po","mappings":{"default":{"default":"dash dot overline"}},"key":"FE4A"},{"category":"Po","mappings":{"default":{"default":"wavy overline"}},"key":"FE4B"},{"category":"Po","mappings":{"default":{"default":"double wavy overline"}},"key":"FE4C"},{"category":"Pc","mappings":{"default":{"default":"dashed underline"}},"key":"FE4D"},{"category":"Pc","mappings":{"default":{"default":"dash dot underline"}},"key":"FE4E"},{"category":"Pc","mappings":{"default":{"default":"wavy underline"}},"key":"FE4F"},{"category":"Po","mappings":{"default":{"default":"small comma"}},"key":"FE50"},{"category":"Po","mappings":{"default":{"default":"small period"}},"key":"FE52"},{"category":"Po","mappings":{"default":{"default":"small semicolon"}},"key":"FE54"},{"category":"Po","mappings":{"default":{"default":"small colon"}},"key":"FE55"},{"category":"Po","mappings":{"default":{"default":"small question mark"}},"key":"FE56"},{"category":"Po","mappings":{"default":{"default":"small exclamation mark"}},"key":"FE57"},{"category":"Pd","mappings":{"default":{"default":"small em dash"}},"key":"FE58"},{"category":"Po","mappings":{"default":{"default":"small number sign"}},"key":"FE5F"},{"category":"Po","mappings":{"default":{"default":"small ampersand"}},"key":"FE60"},{"category":"Po","mappings":{"default":{"default":"small asterisk"}},"key":"FE61"},{"category":"Sm","mappings":{"default":{"default":"small plus sign"}},"key":"FE62"},{"category":"Pd","mappings":{"default":{"default":"small hyphen minus"}},"key":"FE63"},{"category":"Sm","mappings":{"default":{"default":"small less than sign"}},"key":"FE64"},{"category":"Sm","mappings":{"default":{"default":"small greater than sign"}},"key":"FE65"},{"category":"Sm","mappings":{"default":{"default":"small equals"}},"key":"FE66"},{"category":"Po","mappings":{"default":{"default":"small backslash","alternative":"small reverse solidus"}},"key":"FE68"},{"category":"Sc","mappings":{"default":{"default":"small dollar sign"}},"key":"FE69"},{"category":"Po","mappings":{"default":{"default":"small percent sign"}},"key":"FE6A"},{"category":"Po","mappings":{"default":{"default":"small commercial at"}},"key":"FE6B"},{"category":"Po","mappings":{"default":{"default":"exclamation mark"}},"key":"FF01"},{"category":"Po","mappings":{"default":{"default":"quotation mark"}},"key":"FF02"},{"category":"Po","mappings":{"default":{"default":"number sign"}},"key":"FF03"},{"category":"Sc","mappings":{"default":{"default":"dollar sign"}},"key":"FF04"},{"category":"Po","mappings":{"default":{"default":"percent sign"}},"key":"FF05"},{"category":"Po","mappings":{"default":{"default":"ampersand"}},"key":"FF06"},{"category":"Po","mappings":{"default":{"default":"apostrophe"}},"key":"FF07"},{"category":"Po","mappings":{"default":{"default":"asterisk"}},"key":"FF0A"},{"category":"Sm","mappings":{"default":{"default":"plus sign"}},"key":"FF0B"},{"category":"Po","mappings":{"default":{"default":"comma"}},"key":"FF0C"},{"category":"Pd","mappings":{"default":{"default":"hyphen minus"}},"key":"FF0D"},{"category":"Po","mappings":{"default":{"default":"period"}},"key":"FF0E"},{"category":"Po","mappings":{"default":{"default":"slash","alternative":"solidus"}},"key":"FF0F"},{"category":"Po","mappings":{"default":{"default":"colon"}},"key":"FF1A"},{"category":"Po","mappings":{"default":{"default":"semicolon"}},"key":"FF1B"},{"category":"Sm","mappings":{"default":{"default":"less than"}},"key":"FF1C"},{"category":"Sm","mappings":{"default":{"default":"equals"}},"key":"FF1D"},{"category":"Sm","mappings":{"default":{"default":"greater than"}},"key":"FF1E"},{"category":"Po","mappings":{"default":{"default":"question mark"}},"key":"FF1F"},{"category":"Po","mappings":{"default":{"default":"commercial at"}},"key":"FF20"},{"category":"Po","mappings":{"default":{"default":"backslash","alternative":"reverse solidus"}},"key":"FF3C"},{"category":"Sk","mappings":{"default":{"default":"caret","alternative":"circumflex"}},"key":"FF3E"},{"category":"Pc","mappings":{"default":{"default":"bar","alternative":"underline"}},"key":"FF3F"},{"category":"Sk","mappings":{"default":{"default":"grave"}},"key":"FF40"},{"category":"Sm","mappings":{"default":{"default":"vertical bar"}},"key":"FF5C"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"FF5E"},{"category":"Sc","mappings":{"default":{"default":"cent sign"}},"key":"FFE0"},{"category":"Sc","mappings":{"default":{"default":"pound sign"}},"key":"FFE1"},{"category":"Sm","mappings":{"default":{"default":"not sign"}},"key":"FFE2"},{"category":"Sk","mappings":{"default":{"default":"macron"},"mathspeak":{"default":"bar"}},"key":"FFE3"},{"category":"So","mappings":{"default":{"default":"broken vertical bar"}},"key":"FFE4"},{"category":"Sc","mappings":{"default":{"default":"yen sign"}},"key":"FFE5"},{"category":"Sc","mappings":{"default":{"default":"won sign"}},"key":"FFE6"},{"category":"So","mappings":{"default":{"default":"halfwidth forms light vertical"}},"key":"FFE8"},{"category":"So","mappings":{"default":{"default":"halfwidth black square"}},"key":"FFED"},{"category":"So","mappings":{"default":{"default":"halfwidth white circle"}},"key":"FFEE"}]
+,
+"en/symbols/math_whitespace.js": 
+[{"locale":"en"},{"category":"Zs","mappings":{"default":{"default":"space"}},"key":"0020"},{"category":"Zs","mappings":{"default":{"default":"no break space","alternative":"non breaking space"}},"key":"00A0"},{"category":"Cf","mappings":{"default":{"default":"soft hyphen"}},"key":"00AD"},{"category":"Zs","mappings":{"default":{"default":"en quad"}},"key":"2000"},{"category":"Zs","mappings":{"default":{"default":"em quad"}},"key":"2001"},{"category":"Zs","mappings":{"default":{"default":"en space"}},"key":"2002"},{"category":"Zs","mappings":{"default":{"default":"em space"}},"key":"2003"},{"category":"Zs","mappings":{"default":{"default":"three per em space"}},"key":"2004"},{"category":"Zs","mappings":{"default":{"default":"four per em space"}},"key":"2005"},{"category":"Zs","mappings":{"default":{"default":"six per em space"}},"key":"2006"},{"category":"Zs","mappings":{"default":{"default":"figure space"}},"key":"2007"},{"category":"Zs","mappings":{"default":{"default":"punctuation space"}},"key":"2008"},{"category":"Zs","mappings":{"default":{"default":"thin space"}},"key":"2009"},{"category":"Zs","mappings":{"default":{"default":"hair space"}},"key":"200A"},{"category":"Cf","mappings":{"default":{"default":"zero width space"}},"key":"200B"},{"category":"Cf","mappings":{"default":{"default":"zero width non joiner"}},"key":"200C"},{"category":"Cf","mappings":{"default":{"default":"zero width joiner"}},"key":"200D"},{"category":"Cf","mappings":{"default":{"default":"left to right mark"}},"key":"200E"},{"category":"Cf","mappings":{"default":{"default":"right to left mark"}},"key":"200F"},{"category":"Zl","mappings":{"default":{"default":"line separator"}},"key":"2028"},{"category":"Zp","mappings":{"default":{"default":"paragraph separator"}},"key":"2029"},{"category":"Cf","mappings":{"default":{"default":"left to right embedding"}},"key":"202A"},{"category":"Cf","mappings":{"default":{"default":"right to left embedding"}},"key":"202B"},{"category":"Cf","mappings":{"default":{"default":"pop directional formatting"}},"key":"202C"},{"category":"Cf","mappings":{"default":{"default":"left to right override"}},"key":"202D"},{"category":"Cf","mappings":{"default":{"default":"right to left override"}},"key":"202E"},{"category":"Zs","mappings":{"default":{"default":"narrow no break space"}},"key":"202F"},{"category":"Zs","mappings":{"default":{"default":"medium mathematical space"}},"key":"205F"},{"category":"Cf","mappings":{"default":{"default":"word joiner"}},"key":"2060"},{"category":"Cf","mappings":{"default":{"default":"of","alternative":"function application"}},"key":"2061"},{"category":"Cf","mappings":{"default":{"default":"times","alternative":"invisible times"}},"key":"2062"},{"category":"Cf","mappings":{"default":{"default":"separator","alternative":"invisible separator"}},"key":"2063"},{"category":"Cf","mappings":{"default":{"default":"plus","alternative":"invisible plus"}},"key":"2064"},{"category":"Cf","mappings":{"default":{"default":"inhibit symmetric swapping"}},"key":"206A"},{"category":"Cf","mappings":{"default":{"default":"activate symmetric swapping"}},"key":"206B"},{"category":"Cf","mappings":{"default":{"default":"national digit shapes"}},"key":"206E"},{"category":"Cf","mappings":{"default":{"default":"nominal digit shapes"}},"key":"206F"},{"category":"Cf","mappings":{"default":{"default":"zero width no break space","alternative":"byte order mark"}},"key":"FEFF"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation anchor"}},"key":"FFF9"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation separator"}},"key":"FFFA"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation terminator"}},"key":"FFFB"}]
+,
+"en/symbols/other_stars.js": 
+[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"decimal exponent symbol"}},"key":"23E8"},{"category":"So","mappings":{"default":{"default":"black star"}},"key":"2605"},{"category":"So","mappings":{"default":{"default":"white star"}},"key":"2606"},{"category":"So","mappings":{"default":{"default":"white circle","alternative":"medium white circle"}},"key":"26AA"},{"category":"So","mappings":{"default":{"default":"black circle","alternative":"medium black circle"}},"key":"26AB"},{"category":"So","mappings":{"default":{"default":"white check mark","alternative":"white heavy check mark"}},"key":"2705"},{"category":"So","mappings":{"default":{"default":"check mark"}},"key":"2713"},{"category":"So","mappings":{"default":{"default":"heavy check mark"}},"key":"2714"},{"category":"So","mappings":{"default":{"default":"multiplication x"}},"key":"2715"},{"category":"So","mappings":{"default":{"default":"heavy multiplication x"}},"key":"2716"},{"category":"So","mappings":{"default":{"default":"ballot x"}},"key":"2717"},{"category":"So","mappings":{"default":{"default":"heavy ballot x"}},"key":"2718"},{"category":"So","mappings":{"default":{"default":"open center cross"}},"key":"271B"},{"category":"So","mappings":{"default":{"default":"heavy open center cross"}},"key":"271C"},{"category":"So","mappings":{"default":{"default":"maltese cross"}},"key":"2720"},{"category":"So","mappings":{"default":{"default":"star of david"}},"key":"2721"},{"category":"So","mappings":{"default":{"default":"four teardrop spoked asterisk"}},"key":"2722"},{"category":"So","mappings":{"default":{"default":"four balloon spoked asterisk"}},"key":"2723"},{"category":"So","mappings":{"default":{"default":"heavy four balloon spoked asterisk"}},"key":"2724"},{"category":"So","mappings":{"default":{"default":"four club spoked asterisk"}},"key":"2725"},{"category":"So","mappings":{"default":{"default":"black four pointed star"}},"key":"2726"},{"category":"So","mappings":{"default":{"default":"white four pointed star"}},"key":"2727"},{"category":"So","mappings":{"default":{"default":"sparkles"}},"key":"2728"},{"category":"So","mappings":{"default":{"default":"stress outlined white star"}},"key":"2729"},{"category":"So","mappings":{"default":{"default":"circled white star"}},"key":"272A"},{"category":"So","mappings":{"default":{"default":"open center black star"}},"key":"272B"},{"category":"So","mappings":{"default":{"default":"black center white star"}},"key":"272C"},{"category":"So","mappings":{"default":{"default":"outlined black star"}},"key":"272D"},{"category":"So","mappings":{"default":{"default":"heavy outlined black star"}},"key":"272E"},{"category":"So","mappings":{"default":{"default":"pinwheel star"}},"key":"272F"},{"category":"So","mappings":{"default":{"default":"shadowed white star"}},"key":"2730"},{"category":"So","mappings":{"default":{"default":"heavy asterisk"}},"key":"2731"},{"category":"So","mappings":{"default":{"default":"open center asterisk"}},"key":"2732"},{"category":"So","mappings":{"default":{"default":"eight spoked asterisk"}},"key":"2733"},{"category":"So","mappings":{"default":{"default":"eight pointed black star"}},"key":"2734"},{"category":"So","mappings":{"default":{"default":"eight pointed pinwheel star"}},"key":"2735"},{"category":"So","mappings":{"default":{"default":"six pointed black star"}},"key":"2736"},{"category":"So","mappings":{"default":{"default":"twelve pointed black star"}},"key":"2739"},{"category":"So","mappings":{"default":{"default":"sixteen pointed asterisk"}},"key":"273A"},{"category":"So","mappings":{"default":{"default":"teardrop spoked asterisk"}},"key":"273B"},{"category":"So","mappings":{"default":{"default":"open center teardrop spoked asterisk"}},"key":"273C"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"key":"273D"},{"category":"So","mappings":{"default":{"default":"six petalled black and white florette"}},"key":"273E"},{"category":"So","mappings":{"default":{"default":"black florette"}},"key":"273F"},{"category":"So","mappings":{"default":{"default":"white florette"}},"key":"2740"},{"category":"So","mappings":{"default":{"default":"eight petalled outlined black florette"}},"key":"2741"},{"category":"So","mappings":{"default":{"default":"circled open center eight pointed star"}},"key":"2742"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked pinwheel asterisk"}},"key":"2743"},{"category":"So","mappings":{"default":{"default":"snowflake"}},"key":"2744"},{"category":"So","mappings":{"default":{"default":"tight trifoliate snowflake"}},"key":"2745"},{"category":"So","mappings":{"default":{"default":"heavy chevron snowflake"}},"key":"2746"},{"category":"So","mappings":{"default":{"default":"sparkle"}},"key":"2747"},{"category":"So","mappings":{"default":{"default":"heavy sparkle"}},"key":"2748"},{"category":"So","mappings":{"default":{"default":"balloon spoked asterisk"}},"key":"2749"},{"category":"So","mappings":{"default":{"default":"eight teardrop spoked propeller asterisk"}},"key":"274A"},{"category":"So","mappings":{"default":{"default":"heavy eight teardrop spoked propeller asterisk"}},"key":"274B"},{"category":"So","mappings":{"default":{"default":"cross mark"}},"key":"274C"},{"category":"So","mappings":{"default":{"default":"shadowed white circle"}},"key":"274D"}]
+,
+"en/units/area.js": 
+[{"locale":"en"},{"category":"other","mappings":{"default":{"default":"square"}},"key":"sq","names":["sq","sq."]},{"category":"area","mappings":{"default":{"default":"square inch"}},"key":"sq inch","names":["sq inch","sq. inch."]},{"category":"area","mappings":{"default":{"default":"square rod"}},"key":"sq rd","names":["sq rd","sq. rd."]},{"category":"area","mappings":{"default":{"default":"square foot","plural":"square feet"}},"key":"sq ft","names":["sq ft","sq. ft."]},{"category":"area","mappings":{"default":{"default":"square yard"}},"key":"sq yd","names":["sq yd","sq. yd."]},{"category":"area","mappings":{"default":{"default":"square mile"}},"key":"sq mi","names":["sq mi","sq. mi."]},{"category":"area","mappings":{"default":{"default":"acre"}},"key":"acr","names":["ac","ac.","acr","acr."]},{"category":"area","mappings":{"default":{"default":"hectare"}},"key":"ha","names":["ha"]}]
+,
+"en/units/currency.js": 
+[{"locale":"en"},{"category":"currency","key":"$","mappings":{"default":{"default":"dollar"}},"names":["$","💲","＄","﹩","USD"]},{"category":"currency","key":"£","mappings":{"default":{"default":"pound"}},"names":["£","￡","GBP"]},{"category":"currency","key":"¥","mappings":{"default":{"default":"yen"}},"names":["¥","￥","JPY"]},{"category":"currency","key":"€","mappings":{"default":{"default":"euro"}},"names":["€","EUR"]},{"category":"currency","key":"₡","mappings":{"default":{"default":"colon"}},"names":["₡","CRC"]},{"category":"currency","key":"₢","mappings":{"default":{"default":"cruzeiro"}},"names":["₢"]},{"category":"currency","key":"₣","mappings":{"default":{"default":"franc"}},"names":["₣"]},{"category":"currency","key":"₤","mappings":{"default":{"default":"lira"}},"names":["₤"]},{"category":"currency","key":"₥","mappings":{"default":{"default":"mill"}},"names":["₥"]},{"category":"currency","key":"₦","mappings":{"default":{"default":"naira"}},"names":["₦","NGN"]},{"category":"currency","key":"₧","mappings":{"default":{"default":"peseta"}},"names":["₧"]},{"category":"currency","key":"₨","mappings":{"default":{"default":"rupee"}},"names":["₨","₹","INR","NPR","PKR","LKR"]},{"category":"currency","key":"₩","mappings":{"default":{"default":"won"}},"names":["₩","￦","KRW"]},{"category":"currency","key":"₪","mappings":{"default":{"default":"sheqel"}},"names":["₪"]},{"category":"currency","key":"₫","mappings":{"default":{"default":"dong"}},"names":["₫"]},{"category":"currency","key":"₭","mappings":{"default":{"default":"kip"}},"names":["₭"]},{"category":"currency","key":"₮","mappings":{"default":{"default":"tugrik"}},"names":["₮"]},{"category":"currency","key":"₯","mappings":{"default":{"default":"drachma"}},"names":["₯"]},{"category":"currency","key":"₰","mappings":{"default":{"default":"Pfennig"}},"names":["₰"]},{"category":"currency","key":"₱","mappings":{"default":{"default":"peso"}},"names":["₱"]},{"category":"currency","key":"₲","mappings":{"default":{"default":"guaranis"}},"names":["₲"]},{"category":"currency","key":"₳","mappings":{"default":{"default":"austral"}},"names":["₳"]},{"category":"currency","key":"₴","mappings":{"default":{"default":"hryvnia"}},"names":["₴","UAH"]},{"category":"currency","key":"₵","mappings":{"default":{"default":"cedis"}},"names":["₵","GHS"]},{"category":"currency","key":"₶","mappings":{"default":{"default":"livre tournois"}},"names":["₶"]},{"category":"currency","key":"₷","mappings":{"default":{"default":"spesmilo"}},"names":["₷"]},{"category":"currency","key":"₸","mappings":{"default":{"default":"tenge"}},"names":["₸","KZT"]},{"category":"currency","key":"₺","mappings":{"default":{"default":"turkish lira"}},"names":["₺","TRY"]},{"category":"currency","key":"元","mappings":{"default":{"default":"yuan"}},"names":["元"]},{"category":"currency","key":"¢","mappings":{"default":{"default":"cent"}},"names":["￠","¢"]}]
+,
+"en/units/energy.js": 
+[{"locale":"en"},{"category":"energy","mappings":{"default":{"default":"watt"}},"key":"W","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"kilowatt"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"milliwatt"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"kilowatt hour"}},"key":"kwh","names":["kwh","kWh"]},{"category":"energy","mappings":{"default":{"default":"joule"}},"key":"J","names":["J"]},{"category":"energy","mappings":{"default":{"default":"Newton"}},"key":"N","names":["N"]},{"category":"energy","mappings":{"default":{"default":"ampere"}},"key":"A","names":["A"]},{"category":"energy","mappings":{"default":{"default":"volt"}},"key":"V","names":["V"]},{"category":"energy","mappings":{"default":{"default":"microohm"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"milliohm"}},"key":"mΩ","names":["mΩ"]},{"category":"energy","mappings":{"default":{"default":"ohm"}},"key":"Ω","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"kilohm"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"megaohm"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"gigaohm"}},"key":"GΩ","names":["GΩ"]}]
+,
+"en/units/length.js": 
+[{"locale":"en"},{"category":"length","mappings":{"default":{"default":"foot"}},"key":"ft","names":["ft","ft."]},{"category":"length","mappings":{"default":{"default":"inch"}},"key":"in","names":["in","in."]},{"category":"length","mappings":{"default":{"default":"mile"}},"key":"mi","names":["mi","mi."]},{"category":"length","mappings":{"default":{"default":"yard"}},"key":"yd","names":["yd","yd."]},{"category":"length","mappings":{"default":{"default":"link"}},"key":"link","names":["li","li."]},{"category":"length","mappings":{"default":{"default":"rod"}},"key":"rod","names":["rd","rd."]},{"category":"length","mappings":{"default":{"default":"chain"}},"key":"chain","names":["ch","ch."]},{"category":"length","mappings":{"default":{"default":"furlong"}},"key":"furlong","names":["fur","fur."]},{"category":"length","mappings":{"default":{"default":"nautical mile"}},"key":"n.m.","names":["n.m."]},{"category":"length","mappings":{"default":{"default":"millimeter"}},"key":"mm","names":["mm"]},{"category":"length","mappings":{"default":{"default":"centimeter"}},"key":"cm","names":["cm"]},{"category":"length","mappings":{"default":{"default":"meter"}},"key":"m","names":["m"]},{"category":"length","mappings":{"default":{"default":"kilometer"}},"key":"km","names":["km"]}]
+,
+"en/units/memory.js": 
+[{"locale":"en"},{"category":"memory","mappings":{"default":{"default":"bit"}},"key":"b","names":["b"]},{"category":"memory","mappings":{"default":{"default":"byte"}},"key":"B","names":["B"]},{"category":"memory","mappings":{"default":{"default":"kilobyte"}},"key":"KB","names":["KB"]},{"category":"memory","mappings":{"default":{"default":"megabyte"}},"key":"MB","names":["MB"]},{"category":"memory","mappings":{"default":{"default":"gigabyte"}},"key":"GB","names":["GB"]},{"category":"memory","mappings":{"default":{"default":"terabyte"}},"key":"TB","names":["TB"]}]
+,
+"en/units/other.js": 
+[{"locale":"en"},{"category":"other","mappings":{"default":{"default":"dozen"}},"key":"doz","names":["doz","doz.","dz","dz."]}]
+,
+"en/units/speed.js": 
+[{"locale":"en"},{"category":"speed","mappings":{"default":{"default":"knot"}},"key":"kt","names":["kt","kt."]},{"category":"speed","mappings":{"default":{"default":"miles per hour"}},"key":"mph","names":["mph"]},{"category":"speed","mappings":{"default":{"default":"revolutions per minute"}},"key":"rpm","names":["rpm"]},{"category":"speed","mappings":{"default":{"default":"kilometers per hour"}},"key":"kmh","names":["kmh"]}]
+,
+"en/units/temperature.js": 
+[{"locale":"en"},{"category":"temperature","mappings":{"default":{"default":"Fahrenheit"}},"key":"F","names":["F","F.","°F"]},{"category":"temperature","mappings":{"default":{"default":"Celsius","alternative":"Centigrade"}},"key":"C","names":["C","°C"]},{"category":"temperature","mappings":{"default":{"default":"Kelvin"}},"key":"K","names":["K","°K"]}]
+,
+"en/units/time.js": 
+[{"locale":"en"},{"category":"time","mappings":{"default":{"default":"nanosecond"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"microsecond"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"millisecond"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"second"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"minute"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"hour"}},"key":"h","names":["h","hr"]}]
+,
+"en/units/volume.js": 
+[{"locale":"en"},{"category":"volume","mappings":{"default":{"default":"cubic"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"cubic inch"}},"key":"cu inch","names":["cu in","cu. in."]},{"category":"volume","mappings":{"default":{"default":"cubic foot","plural":"cubic feet"}},"key":"cu ft","names":["cu ft","cu. ft."]},{"category":"volume","mappings":{"default":{"default":"cubic yard"}},"key":"cu yd","names":["cu yd","cu. yd."]},{"category":"volume","mappings":{"default":{"default":"barrel"}},"key":"bbl","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"fluid ounce"}},"key":"fl. oz.","names":["fl. oz.","fl oz"]},{"category":"volume","mappings":{"default":{"default":"gallon"}},"key":"gal","names":["gal","gal."]},{"category":"volume","mappings":{"default":{"default":"pint"}},"key":"pt","names":["pt","pt."]},{"category":"volume","mappings":{"default":{"default":"quart"}},"key":"qt","names":["qt","qt."]},{"category":"volume","mappings":{"default":{"default":"fluid dram"}},"key":"fluid dram","names":["fl dr","fl. dr."]},{"category":"volume","mappings":{"default":{"default":"tablespoon"}},"key":"tbsp","names":["tbsp","tbsp.","Tbsp","Tbsp."]},{"category":"volume","mappings":{"default":{"default":"teaspoon"}},"key":"tsp","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"cup"}},"key":"cup","names":["cp","cp."]},{"category":"volume","mappings":{"default":{"default":"cubic centimeter"}},"key":"cc","names":["cc","ccm"]},{"category":"volume","mappings":{"default":{"default":"kiloliter"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"liter"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"milliliter"}},"key":"ml","names":["ml"]}]
+,
+"en/units/weight.js": 
+[{"locale":"en"},{"category":"weight","mappings":{"default":{"default":"dram"}},"key":"dram","names":["dr","dr."]},{"category":"weight","mappings":{"default":{"default":"ounce"}},"key":"oz","names":["oz","oz."]},{"category":"weight","mappings":{"default":{"default":"pound"}},"key":"lb","names":["lb","lb."]},{"category":"weight","mappings":{"default":{"default":"stone"}},"key":"st","names":["st","st."]},{"category":"weight","mappings":{"default":{"default":"quarter"}},"key":"qtr","names":["qtr","qtr."]},{"category":"weight","mappings":{"default":{"default":"hundredweight"}},"key":"cwt","names":["cwt","cwt."]},{"category":"weight","mappings":{"default":{"default":"long ton"}},"key":"LT","names":["LT","L.T."]},{"category":"weight","mappings":{"default":{"default":"gram"}},"key":"gr","names":["g","gr"]},{"category":"weight","mappings":{"default":{"default":"kilogram"}},"key":"kg","names":["kg"]},{"category":"weight","mappings":{"default":{"default":"microgram"}},"key":"mcg","names":["mcg","µg"]},{"category":"weight","mappings":{"default":{"default":"milligram"}},"key":"mg","names":["mg"]},{"category":"weight","mappings":{"default":{"default":"ton"}},"key":"t","names":["t","T"]}]
+}
+
diff --git a/unpacked/extensions/a11y/mathmaps/en/functions/algebra.js b/unpacked/extensions/a11y/mathmaps/en/functions/algebra.js
deleted file mode 100644
index a458317014..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/functions/algebra.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Algebra","mappings":{"default":{"default":"degree"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"determinant","short":"det"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphism","short":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"kernel"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/functions/elementary.js b/unpacked/extensions/a11y/mathmaps/en/functions/elementary.js
deleted file mode 100644
index 8751c76bd5..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/functions/elementary.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Elementary","mappings":{"default":{"default":"logarithm","alternative":"logarithm function","short":"log"}},"key":"log","names":["log"]},{"category":"Elementary","mappings":{"default":{"default":"natural logarithm","alternative":"natural logarithm function","short":"natural log"},"mathspeak":{"default":"ln"}},"key":"ln","names":["ln"]},{"category":"Elementary","mappings":{"default":{"default":"logarithm base 10","short":"log base 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"exponential","alternative":"exponential function","short":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"greatest common divisor","short":"gcd"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"least common multiple","short":"lcm"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"argument","short":"arg"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"imaginary part","short":"imaginary"},"mathspeak":{"default":"im"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"real part","short":"real"},"mathspeak":{"default":"re"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"infimum","short":"inf"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"limit","short":"lim"},"mathspeak":{"default":"limit"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"infimum default","alternative":"inferior limit","short":"liminf"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"supremum limit","alternative":"superior limit","short":"limsup"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"maximum","short":"max"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"minimum","short":"min"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"supremum","short":"sup"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"injective limit","alternative":"direct limit","short":"colimit"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projective limit","alternative":"inverse limit","short":"limit"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"modulo","short":"mod"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"probability"}},"key":"Pr","names":["Pr"]}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/functions/hyperbolic.js b/unpacked/extensions/a11y/mathmaps/en/functions/hyperbolic.js
deleted file mode 100644
index cd9f3d36c4..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/functions/hyperbolic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosine function","short":"hyperbolic cosine"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cotangent function","short":"hyperbolic cotangent"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosecant function","short":"hyperbolic cosecant"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic secant function","short":"hyperbolic secant"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic sine function","short":"hyperbolic sine"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic tangent function","short":"hyperbolic tangent"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cosine function","alternative":"area hyperbolic cosine function","short":"area hyperbolic cosine"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cotangent function","alternative":"area hyperbolic cotangent function","short":"area hyperbolic cotangent"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cosecant function","alternative":"area hyperbolic cosecant function","short":"area hyperbolic cosecant"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic secant function","alternative":"area hyperbolic secant function","short":"area hyperbolic secant"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic sine function","alternative":"area hyperbolic sine function","short":"area hyperbolic sine"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic tangent function","alternative":"area hyperbolic tangent function","short":"area hyperbolic tangent"}},"key":"artanh","names":["artanh","arctanh"]}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/functions/trigonometry.js b/unpacked/extensions/a11y/mathmaps/en/functions/trigonometry.js
deleted file mode 100644
index be6b3dd9c4..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/functions/trigonometry.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Trigonometric","mappings":{"default":{"default":"cosine function","short":"cosine"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"cotangent function","short":"cotangent"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"cosecant function","short":"cosecant"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"secant function","short":"secant"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"sine function","alternative":"sine function","short":"sine"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"tangent function","short":"tangent"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cosine function","alternative":"arc cosine function","short":"arc cosine"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cotangent function","alternative":"arc cotangent function","short":"arc cotangent"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cosecant function","alternative":"arc cosecant function","short":"arc cosecant"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse secant function","alternative":"arc secant function","short":"arc secant"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse sine function","alternative":"arc sine function","short":"arc sine"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse tangent function","alternative":"arc tangent function","short":"arc tangent"}},"key":"arctan","names":["arctan"]}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-capital.js b/unpacked/extensions/a11y/mathmaps/en/symbols/greek-capital.js
deleted file mode 100644
index d85e8630a8..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-capital.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","key":"0391","mappings":{"default":{"default":"greek capital letter alpha","short":"cap alpha"},"mathspeak":{"default":"upper Alpha"}}},{"category":"Lu","key":"0392","mappings":{"default":{"default":"greek capital letter beta","short":"cap beta"},"mathspeak":{"default":"upper Beta"}}},{"category":"Lu","key":"0393","mappings":{"default":{"default":"greek capital letter gamma","short":"cap gamma"},"mathspeak":{"default":"upper Gamma"}}},{"category":"Lu","key":"0394","mappings":{"default":{"default":"greek capital letter delta","short":"cap delta"},"mathspeak":{"default":"upper Delta"}}},{"category":"Lu","key":"0395","mappings":{"default":{"default":"greek capital letter epsilon","short":"cap epsilon"},"mathspeak":{"default":"upper Epsilon"}}},{"category":"Lu","key":"0396","mappings":{"default":{"default":"greek capital letter zeta","short":"cap zeta"},"mathspeak":{"default":"upper Zeta"}}},{"category":"Lu","key":"0397","mappings":{"default":{"default":"greek capital letter eta","short":"cap eta"},"mathspeak":{"default":"upper Eta"}}},{"category":"Lu","key":"0398","mappings":{"default":{"default":"greek capital letter theta","short":"cap theta"},"mathspeak":{"default":"upper Theta"}}},{"category":"Lu","key":"0399","mappings":{"default":{"default":"greek capital letter iota","short":"cap iota"},"mathspeak":{"default":"upper Iota"}}},{"category":"Lu","key":"039A","mappings":{"default":{"default":"greek capital letter kappa","short":"cap kappa"},"mathspeak":{"default":"upper Kappa"}}},{"category":"Lu","key":"039B","mappings":{"default":{"default":"greek capital letter lamda","alternative":"greek capital letter lambda","short":"cap lamda"},"mathspeak":{"default":"upper Lamda"}}},{"category":"Lu","key":"039C","mappings":{"default":{"default":"greek capital letter mu","short":"cap mu"},"mathspeak":{"default":"upper Mu"}}},{"category":"Lu","key":"039D","mappings":{"default":{"default":"greek capital letter nu","short":"cap nu"},"mathspeak":{"default":"upper Nu"}}},{"category":"Lu","key":"039E","mappings":{"default":{"default":"greek capital letter xi","short":"cap xi"},"mathspeak":{"default":"upper Xi"}}},{"category":"Lu","key":"039F","mappings":{"default":{"default":"greek capital letter omicron","short":"cap omicron"},"mathspeak":{"default":"upper Omicron"}}},{"category":"Lu","key":"03A0","mappings":{"default":{"default":"greek capital letter pi","short":"cap pi"},"mathspeak":{"default":"upper Pi"}}},{"category":"Lu","key":"03A1","mappings":{"default":{"default":"greek capital letter rho","short":"cap rho"},"mathspeak":{"default":"upper Rho"}}},{"category":"Lu","key":"03A3","mappings":{"default":{"default":"greek capital letter sigma","short":"cap sigma"},"mathspeak":{"default":"upper Sigma"}}},{"category":"Lu","key":"03A4","mappings":{"default":{"default":"greek capital letter tau","short":"cap tau"},"mathspeak":{"default":"upper Tau"}}},{"category":"Lu","key":"03A5","mappings":{"default":{"default":"greek capital letter upsilon","short":"cap upsilon"},"mathspeak":{"default":"upper Upsilon"}}},{"category":"Lu","key":"03A6","mappings":{"default":{"default":"greek capital letter phi","short":"cap phi"},"mathspeak":{"default":"upper Phi"}}},{"category":"Lu","key":"03A7","mappings":{"default":{"default":"greek capital letter chi","short":"cap chi"},"mathspeak":{"default":"upper Chi"}}},{"category":"Lu","key":"03A8","mappings":{"default":{"default":"greek capital letter psi","short":"cap psi"},"mathspeak":{"default":"upper Psi"}}},{"category":"Lu","key":"03A9","mappings":{"default":{"default":"greek capital letter omega","short":"cap omega"},"mathspeak":{"default":"upper Omega"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-bold.js b/unpacked/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-bold.js
deleted file mode 100644
index 8dd48e1ec9..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital alpha","alternative":"bold capital alpha","short":"bold cap alpha"},"mathspeak":{"default":"bold upper Alpha"}},"key":"1D6A8"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital beta","alternative":"bold capital beta","short":"bold cap beta"},"mathspeak":{"default":"bold upper Beta"}},"key":"1D6A9"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital gamma","alternative":"bold capital gamma","short":"bold cap gamma"},"mathspeak":{"default":"bold upper Gamma"}},"key":"1D6AA"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital delta","alternative":"bold capital delta","short":"bold cap delta"},"mathspeak":{"default":"bold upper Delta"}},"key":"1D6AB"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital epsilon","alternative":"bold capital epsilon","short":"bold cap epsilon"},"mathspeak":{"default":"bold upper Epsilon"}},"key":"1D6AC"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital zeta","alternative":"bold capital zeta","short":"bold cap zeta"},"mathspeak":{"default":"bold upper Zeta"}},"key":"1D6AD"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital eta","alternative":"bold capital eta","short":"bold cap eta"},"mathspeak":{"default":"bold upper Eta"}},"key":"1D6AE"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital theta","alternative":"bold capital theta","short":"bold cap theta"},"mathspeak":{"default":"bold upper Theta"}},"key":"1D6AF"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital iota","alternative":"bold capital iota","short":"bold cap iota"},"mathspeak":{"default":"bold upper Iota"}},"key":"1D6B0"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital kappa","alternative":"bold capital kappa","short":"bold cap kappa"},"mathspeak":{"default":"bold upper Kappa"}},"key":"1D6B1"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital lamda","alternative":"bold capital lamda","short":"bold cap lamda"},"mathspeak":{"default":"bold upper Lamda"}},"key":"1D6B2"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital mu","alternative":"bold capital mu","short":"bold cap mu"},"mathspeak":{"default":"bold upper Mu"}},"key":"1D6B3"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital nu","alternative":"bold capital nu","short":"bold cap nu"},"mathspeak":{"default":"bold upper Nu"}},"key":"1D6B4"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital xi","alternative":"bold capital xi","short":"bold cap xi"},"mathspeak":{"default":"bold upper Xi"}},"key":"1D6B5"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital omicron","alternative":"bold capital omicron","short":"bold cap omicron"},"mathspeak":{"default":"bold upper Omicron"}},"key":"1D6B6"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital pi","alternative":"bold capital pi","short":"bold cap pi"},"mathspeak":{"default":"bold upper Pi"}},"key":"1D6B7"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital rho","alternative":"bold capital rho","short":"bold cap rho"},"mathspeak":{"default":"bold upper Rho"}},"key":"1D6B8"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital sigma","alternative":"bold capital sigma","short":"bold cap sigma"},"mathspeak":{"default":"bold upper Sigma"}},"key":"1D6BA"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital tau","alternative":"bold capital tau","short":"bold cap tau"},"mathspeak":{"default":"bold upper Tau"}},"key":"1D6BB"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital upsilon","alternative":"bold capital upsilon","short":"bold cap upsilon"},"mathspeak":{"default":"bold upper Upsilon"}},"key":"1D6BC"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital phi","alternative":"bold capital phi","short":"bold cap phi"},"mathspeak":{"default":"bold upper Phi"}},"key":"1D6BD"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital chi","alternative":"bold capital chi","short":"bold cap chi"},"mathspeak":{"default":"bold upper Chi"}},"key":"1D6BE"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital psi","alternative":"bold capital psi","short":"bold cap psi"},"mathspeak":{"default":"bold upper Psi"}},"key":"1D6BF"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital omega","alternative":"bold capital omega","short":"bold cap omega"},"mathspeak":{"default":"bold upper Omega"}},"key":"1D6C0"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small alpha","alternative":"bold small alpha","short":"bold alpha"}},"key":"1D6C2"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small beta","alternative":"bold small beta","short":"bold beta"}},"key":"1D6C3"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small gamma","alternative":"bold small gamma","short":"bold gamma"}},"key":"1D6C4"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small delta","alternative":"bold small delta","short":"bold delta"}},"key":"1D6C5"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small epsilon","alternative":"bold small epsilon","short":"bold epsilon"}},"key":"1D6C6"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small zeta","alternative":"bold small zeta","short":"bold zeta"}},"key":"1D6C7"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small eta","alternative":"bold small eta","short":"bold eta"}},"key":"1D6C8"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small theta","alternative":"bold small theta","short":"bold theta"}},"key":"1D6C9"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small iota","alternative":"bold small iota","short":"bold iota"}},"key":"1D6CA"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small kappa","alternative":"bold small kappa","short":"bold kappa"}},"key":"1D6CB"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small lamda","alternative":"bold small lamda","short":"bold lamda"}},"key":"1D6CC"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small mu","alternative":"bold small mu","short":"bold mu"}},"key":"1D6CD"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small nu","alternative":"bold small nu","short":"bold nu"}},"key":"1D6CE"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small xi","alternative":"bold small xi","short":"bold xi"}},"key":"1D6CF"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small omicron","alternative":"bold small omicron","short":"bold omicron"}},"key":"1D6D0"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small pi","alternative":"bold small pi","short":"bold pi"}},"key":"1D6D1"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small rho","alternative":"bold small rho","short":"bold rho"}},"key":"1D6D2"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small final sigma","alternative":"bold small final sigma","short":"bold final sigma"}},"key":"1D6D3"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small sigma","alternative":"bold small sigma","short":"bold sigma"}},"key":"1D6D4"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small tau","alternative":"bold small tau","short":"bold tau"}},"key":"1D6D5"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small upsilon","alternative":"bold small upsilon","short":"bold upsilon"}},"key":"1D6D6"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small phi","alternative":"bold small phi","short":"bold phi"}},"key":"1D6D7"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small chi","alternative":"bold small chi","short":"bold chi"}},"key":"1D6D8"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small psi","alternative":"bold small psi","short":"bold psi"}},"key":"1D6D9"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small omega","alternative":"bold small omega","short":"bold omega"}},"key":"1D6DA"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-italic.js b/unpacked/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-italic.js
deleted file mode 100644
index 6bbe64454b..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-italic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital alpha","alternative":"italic capital alpha","short":"italic cap alpha"},"mathspeak":{"default":"italic upper Alpha"}},"key":"1D6E2"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital beta","alternative":"italic capital beta","short":"italic cap beta"},"mathspeak":{"default":"italic upper Beta"}},"key":"1D6E3"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital gamma","alternative":"italic capital gamma","short":"italic cap gamma"},"mathspeak":{"default":"italic upper Gamma"}},"key":"1D6E4"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital delta","alternative":"italic capital delta","short":"italic cap delta"},"mathspeak":{"default":"italic upper Delta"}},"key":"1D6E5"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital epsilon","alternative":"italic capital epsilon","short":"italic cap epsilon"},"mathspeak":{"default":"italic upper Epsilon"}},"key":"1D6E6"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital zeta","alternative":"italic capital zeta","short":"italic cap zeta"},"mathspeak":{"default":"italic upper Zeta"}},"key":"1D6E7"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital eta","alternative":"italic capital eta","short":"italic cap eta"},"mathspeak":{"default":"italic upper Eta"}},"key":"1D6E8"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital theta","alternative":"italic capital theta","short":"italic cap theta"},"mathspeak":{"default":"italic upper Theta"}},"key":"1D6E9"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital iota","alternative":"italic capital iota","short":"italic cap iota"},"mathspeak":{"default":"italic upper Iota"}},"key":"1D6EA"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital kappa","alternative":"italic capital kappa","short":"italic cap kappa"},"mathspeak":{"default":"italic upper Kappa"}},"key":"1D6EB"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital lamda","alternative":"italic capital lamda","short":"italic cap lamda"},"mathspeak":{"default":"italic upper Lamda"}},"key":"1D6EC"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital mu","alternative":"italic capital mu","short":"italic cap mu"},"mathspeak":{"default":"italic upper Mu"}},"key":"1D6ED"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital nu","alternative":"italic capital nu","short":"italic cap nu"},"mathspeak":{"default":"italic upper Nu"}},"key":"1D6EE"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital xi","alternative":"italic capital xi","short":"italic cap xi"},"mathspeak":{"default":"italic upper Xi"}},"key":"1D6EF"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital omicron","alternative":"italic capital omicron","short":"italic cap omicron"},"mathspeak":{"default":"italic upper Omicron"}},"key":"1D6F0"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital pi","alternative":"italic capital pi","short":"italic cap pi"},"mathspeak":{"default":"italic upper Pi"}},"key":"1D6F1"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital rho","alternative":"italic capital rho","short":"italic cap rho"},"mathspeak":{"default":"italic upper Rho"}},"key":"1D6F2"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital sigma","alternative":"italic capital sigma","short":"italic cap sigma"},"mathspeak":{"default":"italic upper Sigma"}},"key":"1D6F4"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital tau","alternative":"italic capital tau","short":"italic cap tau"},"mathspeak":{"default":"italic upper Tau"}},"key":"1D6F5"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital upsilon","alternative":"italic capital upsilon","short":"italic cap upsilon"},"mathspeak":{"default":"italic upper Upsilon"}},"key":"1D6F6"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital phi","alternative":"italic capital phi","short":"italic cap phi"},"mathspeak":{"default":"italic upper Phi"}},"key":"1D6F7"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital chi","alternative":"italic capital chi","short":"italic cap chi"},"mathspeak":{"default":"italic upper Chi"}},"key":"1D6F8"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital psi","alternative":"italic capital psi","short":"italic cap psi"},"mathspeak":{"default":"italic upper Psi"}},"key":"1D6F9"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital omega","alternative":"italic capital omega","short":"italic cap omega"},"mathspeak":{"default":"italic upper Omega"}},"key":"1D6FA"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small alpha","alternative":"italic small alpha","short":"italic alpha"}},"key":"1D6FC"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small beta","alternative":"italic small beta","short":"italic beta"}},"key":"1D6FD"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small gamma","alternative":"italic small gamma","short":"italic gamma"}},"key":"1D6FE"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small delta","alternative":"italic small delta","short":"italic delta"}},"key":"1D6FF"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small epsilon","alternative":"italic small epsilon","short":"italic epsilon"}},"key":"1D700"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small zeta","alternative":"italic small zeta","short":"italic zeta"}},"key":"1D701"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small eta","alternative":"italic small eta","short":"italic eta"}},"key":"1D702"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small theta","alternative":"italic small theta","short":"italic theta"}},"key":"1D703"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small iota","alternative":"italic small iota","short":"italic iota"}},"key":"1D704"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small kappa","alternative":"italic small kappa","short":"italic kappa"}},"key":"1D705"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small lamda","alternative":"italic small lamda","short":"italic lamda"}},"key":"1D706"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small mu","alternative":"italic small mu","short":"italic mu"}},"key":"1D707"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small nu","alternative":"italic small nu","short":"italic nu"}},"key":"1D708"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small xi","alternative":"italic small xi","short":"italic xi"}},"key":"1D709"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small omicron","alternative":"italic small omicron","short":"italic omicron"}},"key":"1D70A"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small pi","alternative":"italic small pi","short":"italic pi"}},"key":"1D70B"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small rho","alternative":"italic small rho","short":"italic rho"}},"key":"1D70C"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small final sigma","alternative":"italic small final sigma","short":"italic final sigma"}},"key":"1D70D"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small sigma","alternative":"italic small sigma","short":"italic sigma"}},"key":"1D70E"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small tau","alternative":"italic small tau","short":"italic tau"}},"key":"1D70F"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small upsilon","alternative":"italic small upsilon","short":"italic upsilon"}},"key":"1D710"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small phi","alternative":"italic small phi","short":"italic phi"}},"key":"1D711"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small chi","alternative":"italic small chi","short":"italic chi"}},"key":"1D712"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small psi","alternative":"italic small psi","short":"italic psi"}},"key":"1D713"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small omega","alternative":"italic small omega","short":"italic omega"}},"key":"1D714"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-sans-serif-bold.js b/unpacked/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-sans-serif-bold.js
deleted file mode 100644
index aeca8bf0d0..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-mathfonts-sans-serif-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital alpha","alternative":"sans serif bold capital alpha","short":"sans serif bold cap alpha"},"mathspeak":{"default":"sans serif bold upper Alpha"}},"key":"1D756"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital beta","alternative":"sans serif bold capital beta","short":"sans serif bold cap beta"},"mathspeak":{"default":"sans serif bold upper Beta"}},"key":"1D757"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital gamma","alternative":"sans serif bold capital gamma","short":"sans serif bold cap gamma"},"mathspeak":{"default":"sans serif bold upper Gamma"}},"key":"1D758"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital delta","alternative":"sans serif bold capital delta","short":"sans serif bold cap delta"},"mathspeak":{"default":"sans serif bold upper Delta"}},"key":"1D759"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital epsilon","alternative":"sans serif bold capital epsilon","short":"sans serif bold cap epsilon"},"mathspeak":{"default":"sans serif bold upper Epsilon"}},"key":"1D75A"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital zeta","alternative":"sans serif bold capital zeta","short":"sans serif bold cap zeta"},"mathspeak":{"default":"sans serif bold upper Zeta"}},"key":"1D75B"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital eta","alternative":"sans serif bold capital eta","short":"sans serif bold cap eta"},"mathspeak":{"default":"sans serif bold upper Eta"}},"key":"1D75C"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital theta","alternative":"sans serif bold capital theta","short":"sans serif bold cap theta"},"mathspeak":{"default":"sans serif bold upper Theta"}},"key":"1D75D"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital iota","alternative":"sans serif bold capital iota","short":"sans serif bold cap iota"},"mathspeak":{"default":"sans serif bold upper Iota"}},"key":"1D75E"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital kappa","alternative":"sans serif bold capital kappa","short":"sans serif bold cap kappa"},"mathspeak":{"default":"sans serif bold upper Kappa"}},"key":"1D75F"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital lamda","alternative":"sans serif bold capital lamda","short":"sans serif bold cap lamda"},"mathspeak":{"default":"sans serif bold upper Lamda"}},"key":"1D760"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital mu","alternative":"sans serif bold capital mu","short":"sans serif bold cap mu"},"mathspeak":{"default":"sans serif bold upper Mu"}},"key":"1D761"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital nu","alternative":"sans serif bold capital nu","short":"sans serif bold cap nu"},"mathspeak":{"default":"sans serif bold upper Nu"}},"key":"1D762"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital xi","alternative":"sans serif bold capital xi","short":"sans serif bold cap xi"},"mathspeak":{"default":"sans serif bold upper Xi"}},"key":"1D763"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital omicron","alternative":"sans serif bold capital omicron","short":"sans serif bold cap omicron"},"mathspeak":{"default":"sans serif bold upper Omicron"}},"key":"1D764"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital pi","alternative":"sans serif bold capital pi","short":"sans serif bold cap pi"},"mathspeak":{"default":"sans serif bold upper Pi"}},"key":"1D765"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital rho","alternative":"sans serif bold capital rho","short":"sans serif bold cap rho"},"mathspeak":{"default":"sans serif bold upper Rho"}},"key":"1D766"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital sigma","alternative":"sans serif bold capital sigma","short":"sans serif bold cap sigma"},"mathspeak":{"default":"sans serif bold upper Sigma"}},"key":"1D768"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital tau","alternative":"sans serif bold capital tau","short":"sans serif bold cap tau"},"mathspeak":{"default":"sans serif bold upper Tau"}},"key":"1D769"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital upsilon","alternative":"sans serif bold capital upsilon","short":"sans serif bold cap upsilon"},"mathspeak":{"default":"sans serif bold upper Upsilon"}},"key":"1D76A"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital phi","alternative":"sans serif bold capital phi","short":"sans serif bold cap phi"},"mathspeak":{"default":"sans serif bold upper Phi"}},"key":"1D76B"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital chi","alternative":"sans serif bold capital chi","short":"sans serif bold cap chi"},"mathspeak":{"default":"sans serif bold upper Chi"}},"key":"1D76C"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital psi","alternative":"sans serif bold capital psi","short":"sans serif bold cap psi"},"mathspeak":{"default":"sans serif bold upper Psi"}},"key":"1D76D"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital omega","alternative":"sans serif bold capital omega","short":"sans serif bold cap omega"},"mathspeak":{"default":"sans serif bold upper Omega"}},"key":"1D76E"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small alpha","alternative":"sans serif bold small alpha","short":"sans serif bold alpha"}},"key":"1D770"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small beta","alternative":"sans serif bold small beta","short":"sans serif bold beta"}},"key":"1D771"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small gamma","alternative":"sans serif bold small gamma","short":"sans serif bold gamma"}},"key":"1D772"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small delta","alternative":"sans serif bold small delta","short":"sans serif bold delta"}},"key":"1D773"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small epsilon","alternative":"sans serif bold small epsilon","short":"sans serif bold epsilon"}},"key":"1D774"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small zeta","alternative":"sans serif bold small zeta","short":"sans serif bold zeta"}},"key":"1D775"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small eta","alternative":"sans serif bold small eta","short":"sans serif bold eta"}},"key":"1D776"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small theta","alternative":"sans serif bold small theta","short":"sans serif bold theta"}},"key":"1D777"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small iota","alternative":"sans serif bold small iota","short":"sans serif bold iota"}},"key":"1D778"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small kappa","alternative":"sans serif bold small kappa","short":"sans serif bold kappa"}},"key":"1D779"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small lamda","alternative":"sans serif bold small lamda","short":"sans serif bold lamda"}},"key":"1D77A"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small mu","alternative":"sans serif bold small mu","short":"sans serif bold mu"}},"key":"1D77B"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small nu","alternative":"sans serif bold small nu","short":"sans serif bold nu"}},"key":"1D77C"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small xi","alternative":"sans serif bold small xi","short":"sans serif bold xi"}},"key":"1D77D"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small omicron","alternative":"sans serif bold small omicron","short":"sans serif bold omicron"}},"key":"1D77E"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small pi","alternative":"sans serif bold small pi","short":"sans serif bold pi"}},"key":"1D77F"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small rho","alternative":"sans serif bold small rho","short":"sans serif bold rho"}},"key":"1D780"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small final sigma","alternative":"sans serif bold small final sigma","short":"sans serif bold final sigma"}},"key":"1D781"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small sigma","alternative":"sans serif bold small sigma","short":"sans serif bold sigma"}},"key":"1D782"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small tau","alternative":"sans serif bold small tau","short":"sans serif bold tau"}},"key":"1D783"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small upsilon","alternative":"sans serif bold small upsilon","short":"sans serif bold upsilon"}},"key":"1D784"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small phi","alternative":"sans serif bold small phi","short":"sans serif bold phi"}},"key":"1D785"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small chi","alternative":"sans serif bold small chi","short":"sans serif bold chi"}},"key":"1D786"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small psi","alternative":"sans serif bold small psi","short":"sans serif bold psi"}},"key":"1D787"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small omega","alternative":"sans serif bold small omega","short":"sans serif bold omega"}},"key":"1D788"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-scripts.js b/unpacked/extensions/a11y/mathmaps/en/symbols/greek-scripts.js
deleted file mode 100644
index e702297929..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-scripts.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"greek letter small capital gamma","alternative":"greek letter gamma","short":"small cap gamma"},"mathspeak":{"default":"small upper Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"greek letter small capital lamda","alternative":"greek letter lamda","short":"small cap lamda"},"mathspeak":{"default":"small upper Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"greek letter small capital pi","alternative":"greek letter pi","short":"small cap pi"},"mathspeak":{"default":"small upper Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"greek letter small capital rho","alternative":"greek letter rho","short":"small cap rho"},"mathspeak":{"default":"small upper Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"greek letter small capital psi","alternative":"greek letter psi","short":"small cap psi"},"mathspeak":{"default":"small upper Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"modifier letter small greek gamma","alternative":"greek letter superscript gamma","short":"superscript gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"modifier letter small greek phi","alternative":"greek letter superscript phi","short":"superscript phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"greek subscript small letter beta","short":"subscript beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"greek subscript small letter gamma","alternative":"greek letter gamma","short":"subscript gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"greek subscript small letter rho","alternative":"greek letter rho","short":"subscript rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"greek subscript small letter phi","alternative":"greek letter phi","short":"subscript phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"greek subscript small letter chi","alternative":"greek letter chi","short":"subscript chi"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-small.js b/unpacked/extensions/a11y/mathmaps/en/symbols/greek-small.js
deleted file mode 100644
index 758435380a..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-small.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","key":"03B1","mappings":{"default":{"default":"greek small letter alpha","short":"alpha"}}},{"category":"Ll","key":"03B2","mappings":{"default":{"default":"greek small letter beta","short":"beta"}}},{"category":"Ll","key":"03B3","mappings":{"default":{"default":"greek small letter gamma","short":"gamma"}}},{"category":"Ll","key":"03B4","mappings":{"default":{"default":"greek small letter delta","short":"delta"}}},{"category":"Ll","key":"03B5","mappings":{"default":{"default":"greek small letter epsilon","short":"epsilon"}}},{"category":"Ll","key":"03B6","mappings":{"default":{"default":"greek small letter zeta","short":"zeta"}}},{"category":"Ll","key":"03B7","mappings":{"default":{"default":"greek small letter eta","short":"eta"}}},{"category":"Ll","key":"03B8","mappings":{"default":{"default":"greek small letter theta","short":"theta"}}},{"category":"Ll","key":"03B9","mappings":{"default":{"default":"greek small letter iota","short":"iota"}}},{"category":"Ll","key":"03BA","mappings":{"default":{"default":"greek small letter kappa","short":"kappa"}}},{"category":"Ll","key":"03BB","mappings":{"default":{"default":"greek small letter lamda","alternative":"greek small letter lambda","short":"lamda"}}},{"category":"Ll","key":"03BC","mappings":{"default":{"default":"greek small letter mu","short":"mu"}}},{"category":"Ll","key":"03BD","mappings":{"default":{"default":"greek small letter nu","short":"nu"}}},{"category":"Ll","key":"03BE","mappings":{"default":{"default":"greek small letter xi","short":"xi"}}},{"category":"Ll","key":"03BF","mappings":{"default":{"default":"greek small letter omicron","short":"omicron"}}},{"category":"Ll","key":"03C0","mappings":{"default":{"default":"greek small letter pi","short":"pi"}}},{"category":"Ll","key":"03C1","mappings":{"default":{"default":"greek small letter rho","short":"rho"}}},{"category":"Ll","key":"03C2","mappings":{"default":{"default":"greek small letter final sigma","short":"final sigma"}}},{"category":"Ll","key":"03C3","mappings":{"default":{"default":"greek small letter sigma","short":"sigma"}}},{"category":"Ll","key":"03C4","mappings":{"default":{"default":"greek small letter tau","short":"tau"}}},{"category":"Ll","key":"03C5","mappings":{"default":{"default":"greek small letter upsilon","short":"upsilon"}}},{"category":"Ll","key":"03C6","mappings":{"default":{"default":"greek small letter phi","short":"phi"}}},{"category":"Ll","key":"03C7","mappings":{"default":{"default":"greek small letter chi","short":"chi"}}},{"category":"Ll","key":"03C8","mappings":{"default":{"default":"greek small letter psi","short":"psi"}}},{"category":"Ll","key":"03C9","mappings":{"default":{"default":"greek small letter omega","short":"omega"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-symbols.js b/unpacked/extensions/a11y/mathmaps/en/symbols/greek-symbols.js
deleted file mode 100644
index 6c1b569e81..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/greek-symbols.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"greek beta symbol","alternative":"greek small letter curled beta","short":"beta"}},"key":"03D0"},{"category":"Ll","mappings":{"default":{"default":"greek theta symbol","alternative":"greek small letter script theta","short":"theta"}},"key":"03D1"},{"category":"Ll","mappings":{"default":{"default":"greek phi symbol","alternative":"greek small letter script phi","short":"phi"}},"key":"03D5"},{"category":"Ll","mappings":{"default":{"default":"greek pi symbol","alternative":"greek small letter omega pi","short":"pi"}},"key":"03D6"},{"category":"Ll","mappings":{"default":{"default":"greek kai symbol","short":"kai"}},"key":"03D7"},{"category":"Ll","mappings":{"default":{"default":"greek kappa symbol","alternative":"greek small letter script kappa","short":"kappa"}},"key":"03F0"},{"category":"Ll","mappings":{"default":{"default":"greek rho symbol","alternative":"greek small letter tailed rho","short":"rho"}},"key":"03F1"},{"category":"Ll","mappings":{"default":{"default":"greek lunate epsilon symbol","short":"epsilon"}},"key":"03F5"},{"category":"Sm","mappings":{"default":{"default":"greek reversed lunate epsilon symbol","short":"reversed epsilon"}},"key":"03F6"},{"category":"Lu","mappings":{"default":{"default":"greek capital theta symbol","short":"cap theta"},"mathspeak":{"default":"upper Theta"}},"key":"03F4"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital theta symbol","alternative":"bold capital theta","short":"bold cap theta"},"mathspeak":{"default":"bold upper Theta"}},"key":"1D6B9"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital theta symbol","alternative":"italic capital theta","short":"italic cap theta"},"mathspeak":{"default":"italic upper Theta"}},"key":"1D6F3"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital theta symbol","alternative":"sans serif bold capital theta","short":"sans serif bold cap theta"},"mathspeak":{"default":"sans serif bold upper Theta"}},"key":"1D767"},{"category":"Sm","mappings":{"default":{"default":"mathematical bold nabla","alternative":"bold nabla"}},"key":"1D6C1"},{"category":"Sm","mappings":{"default":{"default":"mathematical bold partial differential","alternative":"bold partial differential","short":"bold partial differential"}},"key":"1D6DB"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold epsilon symbol","alternative":"bold epsilon","short":"bold epsilon"}},"key":"1D6DC"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold theta symbol","alternative":"bold theta","short":"bold theta"}},"key":"1D6DD"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold kappa symbol","alternative":"bold kappa","short":"bold kappa"}},"key":"1D6DE"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold phi symbol","alternative":"bold phi","short":"bold phi"}},"key":"1D6DF"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold rho symbol","alternative":"bold rho","short":"bold rho"}},"key":"1D6E0"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold pi symbol","alternative":"bold pi","short":"bold pi"}},"key":"1D6E1"},{"category":"Sm","mappings":{"default":{"default":"mathematical italic nabla","alternative":"italic nabla","short":"italic nabla"}},"key":"1D6FB"},{"category":"Sm","mappings":{"default":{"default":"mathematical italic partial differential","alternative":"italic partial differential","short":"italic partial differential"}},"key":"1D715"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic epsilon symbol","alternative":"italic epsilon","short":"italic epsilon"}},"key":"1D716"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic theta symbol","alternative":"italic theta","short":"italic theta"}},"key":"1D717"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic kappa symbol","alternative":"italic kappa","short":"italic kappa"}},"key":"1D718"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic phi symbol","alternative":"italic phi","short":"italic phi"}},"key":"1D719"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic rho symbol","alternative":"italic rho","short":"italic rho"}},"key":"1D71A"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic pi symbol","alternative":"italic pi","short":"italic pi"}},"key":"1D71B"},{"category":"Sm","mappings":{"default":{"default":"mathematical sans serif bold nabla","alternative":"sans serif bold nabla","short":"sans serif bold nabla"}},"key":"1D76F"},{"category":"Sm","mappings":{"default":{"default":"mathematical sans serif bold partial differential","alternative":"sans serif bold partial differential","short":"sans serif bold partial differential"}},"key":"1D789"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold epsilon symbol","alternative":"sans serif bold epsilon","short":"sans serif bold epsilon"}},"key":"1D78A"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold theta symbol","alternative":"sans serif bold theta","short":"sans serif bold theta"}},"key":"1D78B"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold kappa symbol","alternative":"sans serif bold kappa","short":"sans serif bold kappa"}},"key":"1D78C"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold phi symbol","alternative":"sans serif bold phi","short":"sans serif bold phi"}},"key":"1D78D"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold rho symbol","alternative":"sans serif bold rho","short":"sans serif bold rho"}},"key":"1D78E"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold pi symbol","alternative":"sans serif bold pi","short":"sans serif bold pi"}},"key":"1D78F"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital digamma","alternative":"bold capital digamma","short":"bold cap digamma"},"mathspeak":{"default":"bold upper Digamma"}},"key":"1D7CA"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small digamma","alternative":"bold small digamma","short":"bold digamma"}},"key":"1D7CB"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/hebrew_letters.js b/unpacked/extensions/a11y/mathmaps/en/symbols/hebrew_letters.js
deleted file mode 100644
index 7805a7da72..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/hebrew_letters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lo","mappings":{"default":{"default":"alef symbol","alternative":"first transfinite cardinal","short":"alef"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"bet symbol","alternative":"second transfinite cardinal","short":"bet"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"gimel symbol","alternative":"third transfinite cardinal","short":"gimel"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"dalet symbol","alternative":"fourth transfinite cardinal","short":"dalet"}},"key":"2138"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-lower-double-accent.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-lower-double-accent.js
deleted file mode 100644
index e547c4a6b0..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-lower-double-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"latin small letter u with diaeresis and macron","alternative":"latin small letter u double overdot overbar","short":"u double overdot overbar"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"latin small letter u with diaeresis and acute","alternative":"latin small letter u double overdot acute","short":"u double overdot acute"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"latin small letter u with diaeresis and caron","alternative":"latin small letter u double overdot hacek","short":"u double overdot caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"latin small letter u with diaeresis and grave","alternative":"latin small letter u double overdot grave","short":"u double overdot grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"latin small letter a with diaeresis and macron","alternative":"latin small letter a double overdot overbar","short":"a double overdot overbar"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"latin small letter a with dot above and macron","alternative":"latin small letter a dot overbar","short":"a overdot overbar"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"latin small letter o with ogonek and macron","alternative":"latin small letter o ogonek overbar","short":"o ogonek overbar"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"latin small letter a with ring above and acute","alternative":"latin small letter a ring above acute","short":"a ring above acute"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"latin small letter o with diaeresis and macron","alternative":"latin small letter o double overdot overbar","short":"o double overdot overbar"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"latin small letter o with tilde and macron","alternative":"latin small letter o tilde overbar","short":"o tilde overbar"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"latin small letter o with dot above and macron","alternative":"latin small letter o overdot overbar","short":"o overdot overbar"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"latin small letter c with cedilla and acute","alternative":"latin small letter c cedilla acute","short":"c cedilla acute"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"latin small letter e with macron and grave","alternative":"latin small letter e overbar grave","short":"e overbar grave"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"latin small letter e with macron and acute","alternative":"latin small letter e overbar acute","short":"e overbar acute"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"latin small letter e with cedilla and breve","alternative":"latin small letter e cedilla breve","short":"e cedilla breve"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"latin small letter i with diaeresis and acute","alternative":"latin small letter i double overdot acute","short":"i double overdot acute"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"latin small letter l with dot below and macron","alternative":"latin small letter l underdot overbar","short":"l underdot overbar"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"latin small letter o with tilde and acute","alternative":"latin small letter o tilde acute","short":"o tilde acute"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"latin small letter o with tilde and diaeresis","alternative":"latin small letter o tilde double overdot","short":"o tilde double overdot"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"latin small letter o with macron and grave","alternative":"latin small letter o overbar grave","short":"o overbar grave"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"latin small letter o with macron and acute","alternative":"latin small letter o overbar acute","short":"o overbar acute"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"latin small letter r with dot below and macron","alternative":"latin small letter r underdot overbar","short":"r underdot overbar"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"latin small letter s with acute and dot above","alternative":"latin small letter s acute overdot","short":"s acute overdot"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"latin small letter s with caron and dot above","alternative":"latin small letter s caron overdot","short":"s caron overdot"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"latin small letter s with dot below and dot above","alternative":"latin small letter s underdot overdot","short":"s underdot overdot"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"latin small letter u with tilde and acute","alternative":"latin small letter u tilde acute","short":"u tilde acute"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"latin small letter u with macron and diaeresis","alternative":"latin small letter u overbar double overdot","short":"u overbar double overdot"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"latin small letter a with circumflex and acute","alternative":"latin small letter a hat acute","short":"a hat acute"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"latin small letter a with circumflex and grave","alternative":"latin small letter a hat grave","short":"a hat grave"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"latin small letter a with circumflex and hook above","alternative":"latin small letter a hat hook above","short":"a hat hook above"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"latin small letter a with circumflex and tilde","alternative":"latin small letter a hat tilde","short":"a hat tilde"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"latin small letter a with circumflex and dot below","alternative":"latin small letter a hat underdot","short":"a hat underdot"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"latin small letter a with breve and acute","alternative":"latin small letter a breve acute","short":"a breve acute"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"latin small letter a with breve and grave","alternative":"latin small letter a breve grave","short":"a breve grave"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"latin small letter a with breve and hook above","alternative":"latin small letter a breve hook above","short":"a breve hook above"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"latin small letter a with breve and tilde","alternative":"latin small letter a breve tilde","short":"a breve tilde"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"latin small letter a with breve and dot below","alternative":"latin small letter a breve underdot","short":"a breve underdot"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"latin small letter e with circumflex and acute","alternative":"latin small letter e hat acute","short":"e hat acute"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"latin small letter e with circumflex and grave","alternative":"latin small letter e hat grave","short":"e hat grave"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"latin small letter e with circumflex and hook above","alternative":"latin small letter e hat hook above","short":"e hat hook above"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"latin small letter e with circumflex and tilde","alternative":"latin small letter e hat tilde","short":"e hat tilde"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"latin small letter e with circumflex and dot below","alternative":"latin small letter e hat underdot","short":"e hat underdot"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"latin small letter o with circumflex and acute","alternative":"latin small letter o hat acute","short":"o hat acute"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"latin small letter o with circumflex and grave","alternative":"latin small letter o hat grave","short":"o hat grave"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"latin small letter o with circumflex and hook above","alternative":"latin small letter o hat hook above","short":"o hat hook above"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"latin small letter o with circumflex and tilde","alternative":"latin small letter o hat tilde","short":"o hat tilde"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"latin small letter o with circumflex and dot below","alternative":"latin small letter o hat underdot","short":"o hat underdot"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"latin small letter o with horn and acute","alternative":"latin small letter o acute prime","short":"o acute prime"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"latin small letter o with horn and grave","alternative":"latin small letter o grave prime","short":"o grave prime"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"latin small letter o with horn and hook above","alternative":"latin small letter o hook above prime","short":"o hook above prime"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"latin small letter o with horn and tilde","alternative":"latin small letter o tilde prime","short":"o tilde prime"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"latin small letter o with horn and dot below","alternative":"latin small letter o underdot prime","short":"o underdot prime"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"latin small letter u with horn and acute","alternative":"latin small letter u acute prime","short":"u acute prime"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"latin small letter u with horn and grave","alternative":"latin small letter u grave prime","short":"u grave prime"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"latin small letter u with horn and hook above","alternative":"latin small letter u hook above prime","short":"u hook above prime"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"latin small letter u with horn and tilde","alternative":"latin small letter u tilde prime","short":"u tilde prime"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"latin small letter u with horn and dot below","alternative":"latin small letter u underdot prime","short":"u underdot prime"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-lower-normal.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-lower-normal.js
deleted file mode 100644
index 22eb17334a..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-lower-normal.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","key":"0061","mappings":{"default":{"default":"latin small letter a","short":"a"}}},{"category":"Ll","key":"0062","mappings":{"default":{"default":"latin small letter b","short":"b"}}},{"category":"Ll","key":"0063","mappings":{"default":{"default":"latin small letter c","short":"c"}}},{"category":"Ll","key":"0064","mappings":{"default":{"default":"latin small letter d","short":"d"}}},{"category":"Ll","key":"0065","mappings":{"default":{"default":"latin small letter e","short":"e"}}},{"category":"Ll","key":"0066","mappings":{"default":{"default":"latin small letter f","short":"f"}}},{"category":"Ll","key":"0067","mappings":{"default":{"default":"latin small letter g","short":"g"}}},{"category":"Ll","key":"0068","mappings":{"default":{"default":"latin small letter h","short":"h"}}},{"category":"Ll","key":"0069","mappings":{"default":{"default":"latin small letter i","short":"i"}}},{"category":"Ll","key":"006A","mappings":{"default":{"default":"latin small letter j","short":"j"}}},{"category":"Ll","key":"006B","mappings":{"default":{"default":"latin small letter k","short":"k"}}},{"category":"Ll","key":"006C","mappings":{"default":{"default":"latin small letter l","short":"l"}}},{"category":"Ll","key":"006D","mappings":{"default":{"default":"latin small letter m","short":"m"}}},{"category":"Ll","key":"006E","mappings":{"default":{"default":"latin small letter n","short":"n"}}},{"category":"Ll","key":"006F","mappings":{"default":{"default":"latin small letter o","short":"o"}}},{"category":"Ll","key":"0070","mappings":{"default":{"default":"latin small letter p","short":"p"}}},{"category":"Ll","key":"0071","mappings":{"default":{"default":"latin small letter q","short":"q"}}},{"category":"Ll","key":"0072","mappings":{"default":{"default":"latin small letter r","short":"r"}}},{"category":"Ll","key":"0073","mappings":{"default":{"default":"latin small letter s","short":"s"}}},{"category":"Ll","key":"0074","mappings":{"default":{"default":"latin small letter t","short":"t"}}},{"category":"Ll","key":"0075","mappings":{"default":{"default":"latin small letter u","short":"u"}}},{"category":"Ll","key":"0076","mappings":{"default":{"default":"latin small letter v","short":"v"}}},{"category":"Ll","key":"0077","mappings":{"default":{"default":"latin small letter w","short":"w"}}},{"category":"Ll","key":"0078","mappings":{"default":{"default":"latin small letter x","short":"x"}}},{"category":"Ll","key":"0079","mappings":{"default":{"default":"latin small letter y","short":"y"}}},{"category":"Ll","key":"007A","mappings":{"default":{"default":"latin small letter z","short":"z"}}},{"category":"Ll","key":"FF41","mappings":{"default":{"default":"fullwidth latin small letter a","short":"a"}}},{"category":"Ll","key":"FF42","mappings":{"default":{"default":"fullwidth latin small letter b","short":"b"}}},{"category":"Ll","key":"FF43","mappings":{"default":{"default":"fullwidth latin small letter c","short":"c"}}},{"category":"Ll","key":"FF44","mappings":{"default":{"default":"fullwidth latin small letter d","short":"d"}}},{"category":"Ll","key":"FF45","mappings":{"default":{"default":"fullwidth latin small letter e","short":"e"}}},{"category":"Ll","key":"FF46","mappings":{"default":{"default":"fullwidth latin small letter f","short":"f"}}},{"category":"Ll","key":"FF47","mappings":{"default":{"default":"fullwidth latin small letter g","short":"g"}}},{"category":"Ll","key":"FF48","mappings":{"default":{"default":"fullwidth latin small letter h","short":"h"}}},{"category":"Ll","key":"FF49","mappings":{"default":{"default":"fullwidth latin small letter i","short":"i"}}},{"category":"Ll","key":"FF4A","mappings":{"default":{"default":"fullwidth latin small letter j","short":"j"}}},{"category":"Ll","key":"FF4B","mappings":{"default":{"default":"fullwidth latin small letter k","short":"k"}}},{"category":"Ll","key":"FF4C","mappings":{"default":{"default":"fullwidth latin small letter l","short":"l"}}},{"category":"Ll","key":"FF4D","mappings":{"default":{"default":"fullwidth latin small letter m","short":"m"}}},{"category":"Ll","key":"FF4E","mappings":{"default":{"default":"fullwidth latin small letter n","short":"n"}}},{"category":"Ll","key":"FF4F","mappings":{"default":{"default":"fullwidth latin small letter o","short":"o"}}},{"category":"Ll","key":"FF50","mappings":{"default":{"default":"fullwidth latin small letter p","short":"p"}}},{"category":"Ll","key":"FF51","mappings":{"default":{"default":"fullwidth latin small letter q","short":"q"}}},{"category":"Ll","key":"FF52","mappings":{"default":{"default":"fullwidth latin small letter r","short":"r"}}},{"category":"Ll","key":"FF53","mappings":{"default":{"default":"fullwidth latin small letter s","short":"s"}}},{"category":"Ll","key":"FF54","mappings":{"default":{"default":"fullwidth latin small letter t","short":"t"}}},{"category":"Ll","key":"FF55","mappings":{"default":{"default":"fullwidth latin small letter u","short":"u"}}},{"category":"Ll","key":"FF56","mappings":{"default":{"default":"fullwidth latin small letter v","short":"v"}}},{"category":"Ll","key":"FF57","mappings":{"default":{"default":"fullwidth latin small letter w","short":"w"}}},{"category":"Ll","key":"FF58","mappings":{"default":{"default":"fullwidth latin small letter x","short":"x"}}},{"category":"Ll","key":"FF59","mappings":{"default":{"default":"fullwidth latin small letter y","short":"y"}}},{"category":"Ll","key":"FF5A","mappings":{"default":{"default":"fullwidth latin small letter z","short":"z"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-lower-phonetic.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-lower-phonetic.js
deleted file mode 100644
index 17e8e55b9d..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-lower-phonetic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"latin small letter o with stroke","alternative":"latin small letter o slash","short":"o with stroke"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"latin small letter d with stroke","alternative":"latin small letter d bar","short":"d with stroke"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"latin small letter h with stroke","alternative":"latin small letter h bar","short":"h with stroke"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"latin small letter l with stroke","alternative":"latin small letter l slash","short":"l with stroke"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"latin small letter t with stroke","alternative":"latin small letter t bar","short":"t with stroke"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"latin small letter b with stroke","alternative":"latin small letter b bar","short":"b with stroke"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"latin small letter lambda with stroke","alternative":"latin small letter barred lambda","short":"lambda with stroke"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"latin small letter z with stroke","alternative":"latin small letter z bar","short":"z with stroke"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"latin letter inverted glottal stop with stroke","alternative":"latin letter inverted glottal stop bar","short":"latin letter inverted glottal stop with stroke"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"latin small letter g with stroke","alternative":"latin small letter g bar","short":"g with stroke"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"latin small letter o with stroke and acute","short":"o with stroke and acute"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"latin small letter c with stroke","short":"c with stroke"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"latin small letter e with stroke","short":"e with stroke"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"latin small letter j with stroke","short":"j with stroke"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"latin small letter r with stroke","short":"r with stroke"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"latin small letter y with stroke","short":"y with stroke"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"latin small letter dotless j with stroke","alternative":"latin small letter dotless j bar","short":"dotless j with stroke"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"latin small letter i with stroke","alternative":"latin small letter barred i","short":"i with stroke"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"latin small letter dotless j with stroke and hook","alternative":"latin small letter dotless j bar hook","short":"dotless j with stroke and hook"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"latin letter glottal stop with stroke","alternative":"latin letter glottal stop bar","short":"latin letter glottal stop with stroke"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"latin letter reversed glottal stop with stroke","alternative":"latin letter reversed glottal stop bar","short":"latin letter reversed glottal stop with stroke"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"latin small letter sideways o with stroke","short":"sideways o with stroke"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"latin small letter iota with stroke","short":"iota with stroke"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"latin small letter p with stroke","short":"p with stroke"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"latin small letter upsilon with stroke","short":"upsilon with stroke"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"latin small letter long s with diagonal stroke","short":"long s with diagonal stroke"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"latin small letter long s with high stroke","short":"long s with high stroke"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"latin small letter turned delta","short":"turned delta"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"latin small letter long s with dot above","short":"long s with dot above"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"latin small letter delta","short":"delta"}}},{"category":"Ll","key":"0138","mappings":{"default":{"default":"latin small letter kra","short":"kra"}}},{"category":"Ll","key":"017F","mappings":{"default":{"default":"latin small letter long s","short":"long s"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"latin small letter b with topbar","alternative":"latin small letter b topbar","short":"b with topbar"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"latin small letter tone six","short":"tone six"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"latin small letter c with hook","alternative":"latin small letter c hook","short":"c with hook"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"latin small letter d with topbar","alternative":"latin small letter d topbar","short":"d with topbar"}}},{"category":"Ll","key":"0192","mappings":{"default":{"default":"latin small letter f with hook","alternative":"latin small letter script f","short":"f with hook"}}},{"category":"Ll","key":"0195","mappings":{"default":{"default":"latin small letter hv","alternative":"latin small letter h v","short":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"latin small letter k with hook","alternative":"latin small letter k hook","short":"k with hook"}}},{"category":"Ll","key":"019A","mappings":{"default":{"default":"latin small letter l with bar","alternative":"latin small letter barred l","short":"l with bar"}}},{"category":"Ll","key":"019E","mappings":{"default":{"default":"latin small letter n with long right leg","short":"n with long right leg"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"latin small letter o with horn","alternative":"latin small letter o horn","short":"o with horn"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"latin small letter oi","alternative":"latin small letter o i","short":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"latin small letter p with hook","alternative":"latin small letter p hook","short":"p with hook"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"latin small letter tone two","short":"tone two"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"latin letter reversed esh loop","short":"latin letter reversed esh loop"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"latin small letter t with palatal hook","alternative":"latin small letter t palatal hook","short":"t with palatal hook"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"latin small letter t with hook","alternative":"latin small letter t hook","short":"t with hook"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"latin small letter u with horn","alternative":"latin small letter u horn","short":"u with horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"latin small letter y with hook","alternative":"latin small letter y hook","short":"y with hook"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"latin small letter ezh reversed","alternative":"latin small letter reversed yogh","short":"ezh reversed"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"latin small letter ezh with tail","alternative":"latin small letter yogh with tail","short":"ezh with tail"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"latin small letter tone five","short":"tone five"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"latin letter wynn","short":"latin letter wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"latin small letter dz with caron","alternative":"latin small letter d z hacek","short":"dz with caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"latin small letter lj","alternative":"latin small letter l j","short":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"latin small letter nj","alternative":"latin small letter n j","short":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"latin small letter ae with macron","alternative":"latin small letter a e macron","short":"ae with macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"latin small letter ezh with caron","alternative":"latin small letter yogh hacek","short":"ezh with caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"latin small letter dz","short":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"latin small letter yogh","short":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"latin small letter lezh","alternative":"latin small letter l yogh","short":"lezh"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"latin small letter ezh","alternative":"latin small letter yogh","short":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"latin small letter ezh with curl","alternative":"latin small letter yogh curl","short":"ezh with curl"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"latin small letter dezh digraph","alternative":"latin small letter d yogh","short":"dezh digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"latin small letter turned e","short":"turned e"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"latin small letter ae with acute","short":"ae with acute"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"latin small letter yogh","short":"yogh"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"latin small letter d with curl","short":"d with curl"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"latin small letter ou","short":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"latin small letter z with hook","short":"z with hook"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"latin small letter l with curl","short":"l with curl"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"latin small letter n with curl","short":"n with curl"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"latin small letter t with curl","short":"t with curl"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"latin small letter db digraph","short":"db digraph"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"latin small letter qp digraph","short":"qp digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"latin small letter s with swash tail","short":"s with swash tail"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"latin small letter z with swash tail","short":"z with swash tail"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"latin small letter glottal stop","short":"glottal stop"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"latin small letter q with hook tail","short":"q with hook tail"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"latin small letter turned a","short":"turned a"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"latin small letter alpha","alternative":"latin small letter script a","short":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"latin small letter turned alpha","alternative":"latin small letter turned script a","short":"turned alpha"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"latin small letter b with hook","alternative":"latin small letter b hook","short":"b with hook"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"latin small letter open o","short":"open o"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"latin small letter c with curl","alternative":"latin small letter c curl","short":"c with curl"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"latin small letter d with tail","alternative":"latin small letter d retroflex hook","short":"d with tail"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"latin small letter d with hook","alternative":"latin small letter d hook","short":"d with hook"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"latin small letter reversed e","short":"reversed e"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"latin small letter schwa","short":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"latin small letter schwa with hook","alternative":"latin small letter schwa hook","short":"schwa with hook"}}},{"category":"Ll","key":"025B","mappings":{"default":{"default":"latin small letter open e","alternative":"latin small letter epsilon","short":"open e"}}},{"category":"Ll","key":"025C","mappings":{"default":{"default":"latin small letter reversed open e","alternative":"latin small letter reversed epsilon","short":"reversed open e"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"latin small letter reversed open e with hook","alternative":"latin small letter reversed epsilon hook","short":"reversed open e with hook"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"latin small letter closed reversed open e","alternative":"latin small letter closed reversed epsilon","short":"closed reversed open e"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"latin small letter g with hook","alternative":"latin small letter g hook","short":"g with hook"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"latin small letter script g","short":"script g"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"latin small letter gamma","short":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"latin small letter rams horn","alternative":"latin small letter baby gamma","short":"rams horn"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"latin small letter turned h","short":"turned h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"latin small letter h with hook","alternative":"latin small letter h hook","short":"h with hook"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"latin small letter heng with hook","alternative":"latin small letter heng hook","short":"heng with hook"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"latin small letter iota","short":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"latin small letter l with middle tilde","short":"l with middle tilde"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"latin small letter l with belt","alternative":"latin small letter l belt","short":"l with belt"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"latin small letter l with retroflex hook","alternative":"latin small letter l retroflex hook","short":"l with retroflex hook"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"latin small letter lezh","alternative":"latin small letter l yogh","short":"lezh"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"latin small letter turned m","short":"turned m"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"latin small letter turned m with long leg","short":"turned m with long leg"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"latin small letter m with hook","alternative":"latin small letter m hook","short":"m with hook"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"latin small letter n with left hook","alternative":"latin small letter n hook","short":"n with left hook"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"latin small letter n with retroflex hook","alternative":"latin small letter n retroflex hook","short":"n with retroflex hook"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"latin small letter barred o","short":"barred o"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"latin small letter closed omega","short":"closed omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"latin small letter phi","short":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"latin small letter turned r","short":"turned r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"latin small letter turned r with long leg","short":"turned r with long leg"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"latin small letter turned r with hook","alternative":"latin small letter turned r hook","short":"turned r with hook"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"latin small letter r with long leg","short":"r with long leg"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"latin small letter r with tail","alternative":"latin small letter r hook","short":"r with tail"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"latin small letter r with fishhook","alternative":"latin small letter fishhook r","short":"r with fishhook"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"latin small letter reversed r with fishhook","alternative":"latin small letter reversed fishhook r","short":"reversed r with fishhook"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"latin small letter s with hook","alternative":"latin small letter s hook","short":"s with hook"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"latin small letter esh","short":"esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"latin small letter squat reversed esh","short":"squat reversed esh"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"latin small letter esh with curl","alternative":"latin small letter esh curl","short":"esh with curl"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"latin small letter turned t","short":"turned t"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"latin small letter t with retroflex hook","alternative":"latin small letter t retroflex hook","short":"t with retroflex hook"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"latin small letter u bar","short":"u bar"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"latin small letter upsilon","short":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"latin small letter v with hook","alternative":"latin small letter script v","short":"v with hook"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"latin small letter turned v","short":"turned v"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"latin small letter turned w","short":"turned w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"latin small letter turned y","short":"turned y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"latin small letter z with retroflex hook","alternative":"latin small letter z retroflex hook","short":"z with retroflex hook"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"latin small letter z with curl","alternative":"latin small letter z curl","short":"z with curl"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"latin small letter ezh","alternative":"latin small letter yogh","short":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"latin small letter ezh with curl","alternative":"latin small letter yogh curl","short":"ezh with curl"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"latin letter pharyngeal voiced fricative","alternative":"latin letter reversed glottal stop","short":"latin letter pharyngeal voiced fricative"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"latin letter inverted glottal stop","short":"latin letter inverted glottal stop"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"latin letter stretched c","short":"latin letter stretched c"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"latin letter bilabial click","alternative":"latin letter bullseye","short":"latin letter bilabial click"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"latin small letter closed open e","alternative":"latin small letter closed epsilon","short":"closed open e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"latin small letter turned k","short":"turned k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"latin small letter q with hook","alternative":"latin small letter q hook","short":"q with hook"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"latin small letter dz digraph","alternative":"latin small letter d z","short":"dz digraph"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"latin small letter dezh digraph","alternative":"latin small letter d yogh","short":"dezh digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"latin small letter dz digraph with curl","alternative":"latin small letter d z curl","short":"dz digraph with curl"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"latin small letter ts digraph","alternative":"latin small letter t s","short":"ts digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"latin small letter tesh digraph","alternative":"latin small letter t esh","short":"tesh digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"latin small letter tc digraph with curl","alternative":"latin small letter t c curl","short":"tc digraph with curl"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"latin small letter feng digraph","short":"feng digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"latin small letter ls digraph","short":"ls digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"latin small letter lz digraph","short":"lz digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"latin letter bilabial percussive","short":"latin letter bilabial percussive"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"latin letter bidental percussive","short":"latin letter bidental percussive"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"latin small letter turned h with fishhook","short":"turned h with fishhook"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"latin small letter turned h with fishhook and tail","short":"turned h with fishhook and tail"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"latin small letter turned ae","short":"turned ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"latin small letter turned open e","short":"turned open e"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"latin small letter turned i","short":"turned i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"latin small letter sideways o","short":"sideways o"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"latin small letter sideways open o","short":"sideways open o"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"latin small letter turned oe","short":"turned oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"latin small letter top half o","short":"top half o"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"latin small letter bottom half o","short":"bottom half o"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"latin small letter sideways u","short":"sideways u"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"latin small letter sideways diaeresized u","short":"sideways diaeresized u"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"latin small letter sideways turned m","short":"sideways turned m"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"latin letter voiced laryngeal spirant","short":"latin letter voiced laryngeal spirant"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"latin letter ain","short":"latin letter ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"latin small letter ue","short":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"latin small letter b with middle tilde","short":"b with middle tilde"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"latin small letter d with middle tilde","short":"d with middle tilde"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"latin small letter f with middle tilde","short":"f with middle tilde"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"latin small letter m with middle tilde","short":"m with middle tilde"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"latin small letter n with middle tilde","short":"n with middle tilde"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"latin small letter p with middle tilde","short":"p with middle tilde"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"latin small letter r with middle tilde","short":"r with middle tilde"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"latin small letter r with fishhook and middle tilde","short":"r with fishhook and middle tilde"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"latin small letter s with middle tilde","short":"s with middle tilde"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"latin small letter t with middle tilde","short":"t with middle tilde"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"latin small letter z with middle tilde","short":"z with middle tilde"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"latin small letter turned g","short":"turned g"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"latin small letter insular g","short":"insular g"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"latin small letter th with strikethrough","short":"th with strikethrough"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"latin small letter b with palatal hook","short":"b with palatal hook"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"latin small letter d with palatal hook","short":"d with palatal hook"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"latin small letter f with palatal hook","short":"f with palatal hook"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"latin small letter g with palatal hook","short":"g with palatal hook"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"latin small letter k with palatal hook","short":"k with palatal hook"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"latin small letter l with palatal hook","short":"l with palatal hook"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"latin small letter m with palatal hook","short":"m with palatal hook"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"latin small letter n with palatal hook","short":"n with palatal hook"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"latin small letter p with palatal hook","short":"p with palatal hook"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"latin small letter r with palatal hook","short":"r with palatal hook"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"latin small letter s with palatal hook","short":"s with palatal hook"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"latin small letter esh with palatal hook","short":"esh with palatal hook"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"latin small letter v with palatal hook","short":"v with palatal hook"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"latin small letter x with palatal hook","short":"x with palatal hook"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"latin small letter z with palatal hook","short":"z with palatal hook"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"latin small letter a with retroflex hook","short":"a with retroflex hook"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"latin small letter alpha with retroflex hook","short":"alpha with retroflex hook"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"latin small letter d with hook and tail","short":"d with hook and tail"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"latin small letter e with retroflex hook","short":"e with retroflex hook"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"latin small letter open e with retroflex hook","short":"open e with retroflex hook"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"latin small letter reversed open e with retroflex hook","short":"reversed open e with retroflex hook"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"latin small letter schwa with retroflex hook","short":"schwa with retroflex hook"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"latin small letter i with retroflex hook","short":"i with retroflex hook"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"latin small letter open o with retroflex hook","short":"open o with retroflex hook"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"latin small letter esh with retroflex hook","short":"esh with retroflex hook"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"latin small letter u with retroflex hook","short":"u with retroflex hook"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"latin small letter ezh with retroflex hook","short":"ezh with retroflex hook"}}},{"category":"Ll","key":"0149","mappings":{"default":{"default":"latin small letter n preceded by apostrophe","alternative":"latin small letter apostrophe n","short":"n preceded by apostrophe"}}},{"category":"Ll","key":"014B","mappings":{"default":{"default":"latin small letter eng","short":"eng"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-lower-single-accent.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-lower-single-accent.js
deleted file mode 100644
index 2630b67758..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-lower-single-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","key":"00E0","mappings":{"default":{"default":"latin small letter a with grave","alternative":"latin small letter a grave","short":"a grave"},"mathspeak":{"default":"modifying above a with grave","brief":"mod above a with grave","sbrief":"mod above a with grave"}}},{"category":"Ll","key":"00E1","mappings":{"default":{"default":"latin small letter a with acute","alternative":"latin small letter a acute","short":"a acute"},"mathspeak":{"default":"modifying above a with acute","brief":"mod above a with acute","sbrief":"mod above a with acute"}}},{"category":"Ll","key":"00E2","mappings":{"default":{"default":"latin small letter a with circumflex","alternative":"latin small letter a hat","short":"a hat"},"mathspeak":{"default":"modifying above a with caret","brief":"mod above a with caret","sbrief":"mod above a with caret"}}},{"category":"Ll","key":"00E3","mappings":{"default":{"default":"latin small letter a with tilde","alternative":"latin small letter a tilde","short":"a tilde"},"mathspeak":{"default":"a overtilde","brief":"a overtilde","sbrief":"a overtilde"}}},{"category":"Ll","key":"00E4","mappings":{"default":{"default":"latin small letter a with diaeresis","alternative":"latin small letter a double overdot","short":"a double overdot"},"mathspeak":{"default":"modifying above a with double dot","brief":"mod above a with double dot","sbrief":"mod above a with double dot"}}},{"category":"Ll","key":"00E5","mappings":{"default":{"default":"latin small letter a with ring above","alternative":"latin small letter a ring","short":"a ring"},"mathspeak":{"default":"modifying above a with ring","brief":"mod above a with ring","sbrief":"mod above a with ring"}}},{"category":"Ll","key":"00E7","mappings":{"default":{"default":"latin small letter c with cedilla","alternative":"latin small letter c cedilla","short":"c cedilla"},"mathspeak":{"default":"modifying above c with cedilla","brief":"mod above c with cedilla","sbrief":"mod above c with cedilla"}}},{"category":"Ll","key":"00E8","mappings":{"default":{"default":"latin small letter e with grave","alternative":"latin small letter e grave","short":"e grave"},"mathspeak":{"default":"modifying above e with grave","brief":"mod above e with grave","sbrief":"mod above e with grave"}}},{"category":"Ll","key":"00E9","mappings":{"default":{"default":"latin small letter e with acute","alternative":"latin small letter e acute","short":"e acute"},"mathspeak":{"default":"modifying above e with acute","brief":"mod above e with acute","sbrief":"mod above e with acute"}}},{"category":"Ll","key":"00EA","mappings":{"default":{"default":"latin small letter e with circumflex","alternative":"latin small letter e hat","short":"e hat"},"mathspeak":{"default":"modifying above e with caret","brief":"mod above e with caret","sbrief":"mod above e with caret"}}},{"category":"Ll","key":"00EB","mappings":{"default":{"default":"latin small letter e with diaeresis","alternative":"latin small letter e double overdot","short":"e double overdot"},"mathspeak":{"default":"modifying above e with double dot","brief":"mod above e with double dot","sbrief":"mod above e with double dot"}}},{"category":"Ll","key":"00EC","mappings":{"default":{"default":"latin small letter i with grave","alternative":"latin small letter i grave","short":"i grave"},"mathspeak":{"default":"modifying above i with grave","brief":"mod above i with grave","sbrief":"mod above i with grave"}}},{"category":"Ll","key":"00ED","mappings":{"default":{"default":"latin small letter i with acute","alternative":"latin small letter i acute","short":"i acute"},"mathspeak":{"default":"modifying above i with acute","brief":"mod above i with acute","sbrief":"mod above i with acute"}}},{"category":"Ll","key":"00EE","mappings":{"default":{"default":"latin small letter i with circumflex","alternative":"latin small letter i hat","short":"i hat"},"mathspeak":{"default":"modifying above i with caret","brief":"mod above i with caret","sbrief":"mod above i with caret"}}},{"category":"Ll","key":"00EF","mappings":{"default":{"default":"latin small letter i with diaeresis","alternative":"latin small letter i double overdot","short":"i double overdot"},"mathspeak":{"default":"modifying above i with double dot","brief":"mod above i with double dot","sbrief":"mod above i with double dot"}}},{"category":"Ll","key":"00F1","mappings":{"default":{"default":"latin small letter n with tilde","alternative":"latin small letter n tilde","short":"n tilde"},"mathspeak":{"default":"n overtilde","brief":"n overtilde","sbrief":"n overtilde"}}},{"category":"Ll","key":"00F2","mappings":{"default":{"default":"latin small letter o with grave","alternative":"latin small letter o grave","short":"o grave"},"mathspeak":{"default":"modifying above o with grave","brief":"mod above o with grave","sbrief":"mod above o with grave"}}},{"category":"Ll","key":"00F3","mappings":{"default":{"default":"latin small letter o with acute","alternative":"latin small letter o acute","short":"o acute"},"mathspeak":{"default":"modifying above o with acute","brief":"mod above o with acute","sbrief":"mod above o with acute"}}},{"category":"Ll","key":"00F4","mappings":{"default":{"default":"latin small letter o with circumflex","alternative":"latin small letter o hat","short":"o hat"},"mathspeak":{"default":"modifying above o with caret","brief":"mod above o with caret","sbrief":"mod above o with caret"}}},{"category":"Ll","key":"00F5","mappings":{"default":{"default":"latin small letter o with tilde","alternative":"latin small letter o tilde","short":"o tilde"},"mathspeak":{"default":"o overtilde","brief":"o overtilde","sbrief":"o overtilde"}}},{"category":"Ll","key":"00F6","mappings":{"default":{"default":"latin small letter o with diaeresis","alternative":"latin small letter o double overdot","short":"o double overdot"},"mathspeak":{"default":"modifying above o with double dot","brief":"mod above o with double dot","sbrief":"mod above o with double dot"}}},{"category":"Ll","key":"00F9","mappings":{"default":{"default":"latin small letter u with grave","alternative":"latin small letter u grave","short":"u grave"},"mathspeak":{"default":"modifying above u with grave","brief":"mod above u with grave","sbrief":"mod above u with grave"}}},{"category":"Ll","key":"00FA","mappings":{"default":{"default":"latin small letter u with acute","alternative":"latin small letter u acute","short":"u acute"},"mathspeak":{"default":"modifying above u with acute","brief":"mod above u with acute","sbrief":"mod above u with acute"}}},{"category":"Ll","key":"00FB","mappings":{"default":{"default":"latin small letter u with circumflex","alternative":"latin small letter u hat","short":"u hat"},"mathspeak":{"default":"modifying above u with caret","brief":"mod above u with caret","sbrief":"mod above u with caret"}}},{"category":"Ll","key":"00FC","mappings":{"default":{"default":"latin small letter u with diaeresis","alternative":"latin small letter u double overdot","short":"u double overdot"},"mathspeak":{"default":"modifying above u with double dot","brief":"mod above u with double dot","sbrief":"mod above u with double dot"}}},{"category":"Ll","key":"00FD","mappings":{"default":{"default":"latin small letter y with acute","alternative":"latin small letter y acute","short":"y acute"},"mathspeak":{"default":"modifying above y with acute","brief":"mod above y with acute","sbrief":"mod above y with acute"}}},{"category":"Ll","key":"00FF","mappings":{"default":{"default":"latin small letter y with diaeresis","alternative":"latin small letter y double overdot","short":"y double overdot"},"mathspeak":{"default":"modifying above y with double dot","brief":"mod above y with double dot","sbrief":"mod above y with double dot"}}},{"category":"Ll","key":"0101","mappings":{"default":{"default":"latin small letter a with macron","alternative":"latin small letter a overbar","short":"a overbar"},"mathspeak":{"default":"a overbar","brief":"a overbar","sbrief":"a overbar"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"latin small letter a with breve","alternative":"latin small letter a breve","short":"a breve"},"mathspeak":{"default":"modifying above a with breve","brief":"mod above a with breve","sbrief":"mod above a with breve"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"latin small letter a with ogonek","alternative":"latin small letter a ogonek","short":"a ogonek"},"mathspeak":{"default":"modifying above a with ogonek","brief":"mod above a with ogonek","sbrief":"mod above a with ogonek"}}},{"category":"Ll","key":"0107","mappings":{"default":{"default":"latin small letter c with acute","alternative":"latin small letter c acute","short":"c acute"},"mathspeak":{"default":"modifying above c with acute","brief":"mod above c with acute","sbrief":"mod above c with acute"}}},{"category":"Ll","key":"0109","mappings":{"default":{"default":"latin small letter c with circumflex","alternative":"latin small letter c hat","short":"c hat"},"mathspeak":{"default":"modifying above c with caret","brief":"mod above c with caret","sbrief":"mod above c with caret"}}},{"category":"Ll","key":"010B","mappings":{"default":{"default":"latin small letter c with dot above","alternative":"latin small letter c dot","short":"c overdot"},"mathspeak":{"default":"modifying above c with dot","brief":"mod above c with dot","sbrief":"mod above c with dot"}}},{"category":"Ll","key":"010D","mappings":{"default":{"default":"latin small letter c with caron","alternative":"latin small letter c hacek","short":"c caron"},"mathspeak":{"default":"modifying above c with caron","brief":"mod above c with caron","sbrief":"mod above c with caron"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"latin small letter d with caron","alternative":"latin small letter d hacek","short":"d caron"},"mathspeak":{"default":"modifying above d with caron","brief":"mod above d with caron","sbrief":"mod above d with caron"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"latin small letter e with macron","alternative":"latin small letter e overbar","short":"e overbar"},"mathspeak":{"default":"e overbar","brief":"e overbar","sbrief":"e overbar"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"latin small letter e with breve","alternative":"latin small letter e breve","short":"e breve"},"mathspeak":{"default":"modifying above e with breve","brief":"mod above e with breve","sbrief":"mod above e with breve"}}},{"category":"Ll","key":"0117","mappings":{"default":{"default":"latin small letter e with dot above","alternative":"latin small letter e dot","short":"e overdot"},"mathspeak":{"default":"modifying above e with dot","brief":"mod above e with dot","sbrief":"mod above e with dot"}}},{"category":"Ll","key":"0119","mappings":{"default":{"default":"latin small letter e with ogonek","alternative":"latin small letter e ogonek","short":"e ogonek"},"mathspeak":{"default":"modifying above e with ogonek","brief":"mod above e with ogonek","sbrief":"mod above e with ogonek"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"latin small letter e with caron","alternative":"latin small letter e hacek","short":"e caron"},"mathspeak":{"default":"modifying above e with caron","brief":"mod above e with caron","sbrief":"mod above e with caron"}}},{"category":"Ll","key":"011D","mappings":{"default":{"default":"latin small letter g with circumflex","alternative":"latin small letter g hat","short":"g hat"},"mathspeak":{"default":"modifying above g with caret","brief":"mod above g with caret","sbrief":"mod above g with caret"}}},{"category":"Ll","key":"011F","mappings":{"default":{"default":"latin small letter g with breve","alternative":"latin small letter g breve","short":"g breve"},"mathspeak":{"default":"modifying above g with breve","brief":"mod above g with breve","sbrief":"mod above g with breve"}}},{"category":"Ll","key":"0121","mappings":{"default":{"default":"latin small letter g with dot above","alternative":"latin small letter g dot","short":"g overdot"},"mathspeak":{"default":"modifying above g with dot","brief":"mod above g with dot","sbrief":"mod above g with dot"}}},{"category":"Ll","key":"0123","mappings":{"default":{"default":"latin small letter g with cedilla","alternative":"latin small letter g cedilla","short":"g cedilla"},"mathspeak":{"default":"modifying above g with cedilla","brief":"mod above g with cedilla","sbrief":"mod above g with cedilla"}}},{"category":"Ll","key":"0125","mappings":{"default":{"default":"latin small letter h with circumflex","alternative":"latin small letter h hat","short":"h hat"},"mathspeak":{"default":"modifying above h with caret","brief":"mod above h with caret","sbrief":"mod above h with caret"}}},{"category":"Ll","key":"0129","mappings":{"default":{"default":"latin small letter i with tilde","alternative":"latin small letter i tilde","short":"i tilde"},"mathspeak":{"default":"i overtilde","brief":"i overtilde","sbrief":"i overtilde"}}},{"category":"Ll","key":"012B","mappings":{"default":{"default":"latin small letter i with macron","alternative":"latin small letter i overbar","short":"i overbar"},"mathspeak":{"default":"i overbar","brief":"i overbar","sbrief":"i overbar"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"latin small letter i with breve","alternative":"latin small letter i breve","short":"i breve"},"mathspeak":{"default":"modifying above i with breve","brief":"mod above i with breve","sbrief":"mod above i with breve"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"latin small letter i with ogonek","alternative":"latin small letter i ogonek","short":"i ogonek"},"mathspeak":{"default":"modifying above i with ogonek","brief":"mod above i with ogonek","sbrief":"mod above i with ogonek"}}},{"category":"Ll","key":"0131","mappings":{"default":{"default":"latin small letter dotless i","alternative":"latin small letter dotless i","short":"dotless i"},"mathspeak":{"default":"modifying above d with tless i","brief":"mod above d with tless i","sbrief":"mod above d with tless i"}}},{"category":"Ll","key":"0135","mappings":{"default":{"default":"latin small letter j circumflex","alternative":"latin small letter j hat","short":"j hat"},"mathspeak":{"default":"modifying above j with caret","brief":"mod above j with caret","sbrief":"mod above j with caret"}}},{"category":"Ll","key":"0137","mappings":{"default":{"default":"latin small letter k with cedilla","alternative":"latin small letter k cedilla","short":"k cedilla"},"mathspeak":{"default":"modifying above k with cedilla","brief":"mod above k with cedilla","sbrief":"mod above k with cedilla"}}},{"category":"Ll","key":"013A","mappings":{"default":{"default":"latin small letter l with acute","alternative":"latin small letter l acute","short":"l acute"},"mathspeak":{"default":"modifying above l with acute","brief":"mod above l with acute","sbrief":"mod above l with acute"}}},{"category":"Ll","key":"013C","mappings":{"default":{"default":"latin small letter l with cedilla","alternative":"latin small letter l cedilla","short":"l cedilla"},"mathspeak":{"default":"modifying above l with cedilla","brief":"mod above l with cedilla","sbrief":"mod above l with cedilla"}}},{"category":"Ll","key":"013E","mappings":{"default":{"default":"latin small letter l with caron","alternative":"latin small letter l hacek","short":"l caron"},"mathspeak":{"default":"modifying above l with caron","brief":"mod above l with caron","sbrief":"mod above l with caron"}}},{"category":"Ll","key":"0140","mappings":{"default":{"default":"latin small letter l with middle dot","alternative":"latin small letter l middle dot","short":"l middle dot"},"mathspeak":{"default":"modifying above l with middle dot","brief":"mod above l with middle dot","sbrief":"mod above l with middle dot"}}},{"category":"Ll","key":"0144","mappings":{"default":{"default":"latin small letter n with acute","alternative":"latin small letter n acute","short":"n acute"},"mathspeak":{"default":"modifying above n with acute","brief":"mod above n with acute","sbrief":"mod above n with acute"}}},{"category":"Ll","key":"0146","mappings":{"default":{"default":"latin small letter n with cedilla","alternative":"latin small letter n cedilla","short":"n cedilla"},"mathspeak":{"default":"modifying above n with cedilla","brief":"mod above n with cedilla","sbrief":"mod above n with cedilla"}}},{"category":"Ll","key":"0148","mappings":{"default":{"default":"latin small letter n with caron","alternative":"latin small letter n hacek","short":"n caron"},"mathspeak":{"default":"modifying above n with caron","brief":"mod above n with caron","sbrief":"mod above n with caron"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"latin small letter o macron","alternative":"latin small letter o overbar","short":"o overbar"},"mathspeak":{"default":"o overbar","brief":"o overbar","sbrief":"o overbar"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"latin small letter o with breve","alternative":"latin small letter o breve","short":"o breve"},"mathspeak":{"default":"modifying above o with breve","brief":"mod above o with breve","sbrief":"mod above o with breve"}}},{"category":"Ll","key":"0151","mappings":{"default":{"default":"latin small letter o with double acute","alternative":"latin small letter o double acute","short":"o double acute"},"mathspeak":{"default":"modifying above o with double acute","brief":"mod above o with double acute","sbrief":"mod above o with double acute"}}},{"category":"Ll","key":"0155","mappings":{"default":{"default":"latin small letter r with acute","alternative":"latin small letter r acute","short":"r acute"},"mathspeak":{"default":"modifying above r with acute","brief":"mod above r with acute","sbrief":"mod above r with acute"}}},{"category":"Ll","key":"0157","mappings":{"default":{"default":"latin small letter r with cedilla","alternative":"latin small letter r cedilla","short":"r cedilla"},"mathspeak":{"default":"modifying above r with cedilla","brief":"mod above r with cedilla","sbrief":"mod above r with cedilla"}}},{"category":"Ll","key":"0159","mappings":{"default":{"default":"latin small letter r with caron","alternative":"latin small letter r hacek","short":"r caron"},"mathspeak":{"default":"modifying above r with caron","brief":"mod above r with caron","sbrief":"mod above r with caron"}}},{"category":"Ll","key":"015B","mappings":{"default":{"default":"latin small letter s with acute","alternative":"latin small letter s acute","short":"s acute"},"mathspeak":{"default":"modifying above s with acute","brief":"mod above s with acute","sbrief":"mod above s with acute"}}},{"category":"Ll","key":"015D","mappings":{"default":{"default":"latin small letter s with circumflex","alternative":"latin small letter s hat","short":"s hat"},"mathspeak":{"default":"modifying above s with caret","brief":"mod above s with caret","sbrief":"mod above s with caret"}}},{"category":"Ll","key":"015F","mappings":{"default":{"default":"latin small letter s with cedilla","alternative":"latin small letter s cedilla","short":"s cedilla"},"mathspeak":{"default":"modifying above s with cedilla","brief":"mod above s with cedilla","sbrief":"mod above s with cedilla"}}},{"category":"Ll","key":"0161","mappings":{"default":{"default":"latin small letter s with caron","alternative":"latin small letter s hacek","short":"s caron"},"mathspeak":{"default":"modifying above s with caron","brief":"mod above s with caron","sbrief":"mod above s with caron"}}},{"category":"Ll","key":"0163","mappings":{"default":{"default":"latin small letter t with cedilla","alternative":"latin small letter t cedilla","short":"t cedilla"},"mathspeak":{"default":"modifying above t with cedilla","brief":"mod above t with cedilla","sbrief":"mod above t with cedilla"}}},{"category":"Ll","key":"0165","mappings":{"default":{"default":"latin small letter t with caron","alternative":"latin small letter t hacek","short":"t caron"},"mathspeak":{"default":"modifying above t with caron","brief":"mod above t with caron","sbrief":"mod above t with caron"}}},{"category":"Ll","key":"0169","mappings":{"default":{"default":"latin small letter u with tilde","alternative":"latin small letter u tilde","short":"u tilde"},"mathspeak":{"default":"u overtilde","brief":"u overtilde","sbrief":"u overtilde"}}},{"category":"Ll","key":"016B","mappings":{"default":{"default":"latin small letter u with macron","alternative":"latin small letter u overbar","short":"u overbar"},"mathspeak":{"default":"u overbar","brief":"u overbar","sbrief":"u overbar"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"latin small letter u with breve","alternative":"latin small letter u breve","short":"u breve"},"mathspeak":{"default":"modifying above u with breve","brief":"mod above u with breve","sbrief":"mod above u with breve"}}},{"category":"Ll","key":"016F","mappings":{"default":{"default":"latin small letter u with ring above","alternative":"latin small letter u ring","short":"u ring"},"mathspeak":{"default":"modifying above u with ring","brief":"mod above u with ring","sbrief":"mod above u with ring"}}},{"category":"Ll","key":"0171","mappings":{"default":{"default":"latin small letter u with double acute","alternative":"latin small letter u double acute","short":"u double acute"},"mathspeak":{"default":"modifying above u with double acute","brief":"mod above u with double acute","sbrief":"mod above u with double acute"}}},{"category":"Ll","key":"0173","mappings":{"default":{"default":"latin small letter u with ogonek","alternative":"latin small letter u ogonek","short":"u ogonek"},"mathspeak":{"default":"modifying above u with ogonek","brief":"mod above u with ogonek","sbrief":"mod above u with ogonek"}}},{"category":"Ll","key":"0175","mappings":{"default":{"default":"latin small letter w with circumflex","alternative":"latin small letter w hat","short":"w hat"},"mathspeak":{"default":"modifying above w with caret","brief":"mod above w with caret","sbrief":"mod above w with caret"}}},{"category":"Ll","key":"0177","mappings":{"default":{"default":"latin small letter y with circumflex","alternative":"latin small letter y hat","short":"y hat"},"mathspeak":{"default":"modifying above y with caret","brief":"mod above y with caret","sbrief":"mod above y with caret"}}},{"category":"Ll","key":"017A","mappings":{"default":{"default":"latin small letter z with acute","alternative":"latin small letter z acute","short":"z acute"},"mathspeak":{"default":"modifying above z with acute","brief":"mod above z with acute","sbrief":"mod above z with acute"}}},{"category":"Ll","key":"017C","mappings":{"default":{"default":"latin small letter z with dot above","alternative":"latin small letter z dot","short":"z overdot"},"mathspeak":{"default":"modifying above z with dot","brief":"mod above z with dot","sbrief":"mod above z with dot"}}},{"category":"Ll","key":"017E","mappings":{"default":{"default":"latin small letter z with caron","alternative":"latin small letter z hacek","short":"z caron"},"mathspeak":{"default":"modifying above z with caron","brief":"mod above z with caron","sbrief":"mod above z with caron"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"latin small letter a with caron","alternative":"latin small letter a hacek","short":"a caron"},"mathspeak":{"default":"modifying above a with caron","brief":"mod above a with caron","sbrief":"mod above a with caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"latin small letter i with caron","alternative":"latin small letter i hacek","short":"i caron"},"mathspeak":{"default":"modifying above i with caron","brief":"mod above i with caron","sbrief":"mod above i with caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"latin small letter o with caron","alternative":"latin small letter o hacek","short":"o caron"},"mathspeak":{"default":"modifying above o with caron","brief":"mod above o with caron","sbrief":"mod above o with caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"latin small letter u with caron","alternative":"latin small letter u hacek","short":"u caron"},"mathspeak":{"default":"modifying above u with caron","brief":"mod above u with caron","sbrief":"mod above u with caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"latin small letter g with caron","alternative":"latin small letter g hacek","short":"g caron"},"mathspeak":{"default":"modifying above g with caron","brief":"mod above g with caron","sbrief":"mod above g with caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"latin small letter k with caron","alternative":"latin small letter k hacek","short":"k caron"},"mathspeak":{"default":"modifying above k with caron","brief":"mod above k with caron","sbrief":"mod above k with caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"latin small letter o with ogonek","alternative":"latin small letter o ogonek","short":"o ogonek"},"mathspeak":{"default":"modifying above o with ogonek","brief":"mod above o with ogonek","sbrief":"mod above o with ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"latin small letter j with caron","alternative":"latin small letter j hacek","short":"j caron"},"mathspeak":{"default":"modifying above j with caron","brief":"mod above j with caron","sbrief":"mod above j with caron"}}},{"category":"Ll","key":"01F5","mappings":{"default":{"default":"latin small letter g with acute","alternative":"latin small letter g acute","short":"g acute"},"mathspeak":{"default":"modifying above g with acute","brief":"mod above g with acute","sbrief":"mod above g with acute"}}},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"latin small letter n with grave","alternative":"latin small letter n grave","short":"n grave"},"mathspeak":{"default":"modifying above n with grave","brief":"mod above n with grave","sbrief":"mod above n with grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"latin small letter a with double grave","alternative":"latin small letter a double grave","short":"a double grave"},"mathspeak":{"default":"modifying above a with double grave","brief":"mod above a with double grave","sbrief":"mod above a with double grave"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"latin small letter a with inverted breve","alternative":"latin small letter a inverted breve","short":"a inverted breve"},"mathspeak":{"default":"modifying above a with inverted breve","brief":"mod above a with inverted breve","sbrief":"mod above a with inverted breve"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"latin small letter e with double grave","alternative":"latin small letter e double grave","short":"e double grave"},"mathspeak":{"default":"modifying above e with double grave","brief":"mod above e with double grave","sbrief":"mod above e with double grave"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"latin small letter e with inverted breve","alternative":"latin small letter e inverted breve","short":"e inverted breve"},"mathspeak":{"default":"modifying above e with inverted breve","brief":"mod above e with inverted breve","sbrief":"mod above e with inverted breve"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"latin small letter i with double grave","alternative":"latin small letter i double grave","short":"i double grave"},"mathspeak":{"default":"modifying above i with double grave","brief":"mod above i with double grave","sbrief":"mod above i with double grave"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"latin small letter i with inverted breve","alternative":"latin small letter i inverted breve","short":"i inverted breve"},"mathspeak":{"default":"modifying above i with inverted breve","brief":"mod above i with inverted breve","sbrief":"mod above i with inverted breve"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"latin small letter o with double grave","alternative":"latin small letter o double grave","short":"o double grave"},"mathspeak":{"default":"modifying above o with double grave","brief":"mod above o with double grave","sbrief":"mod above o with double grave"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"latin small letter o with inverted breve","alternative":"latin small letter o inverted breve","short":"o inverted breve"},"mathspeak":{"default":"modifying above o with inverted breve","brief":"mod above o with inverted breve","sbrief":"mod above o with inverted breve"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"latin small letter r with double grave","alternative":"latin small letter r double grave","short":"r double grave"},"mathspeak":{"default":"modifying above r with double grave","brief":"mod above r with double grave","sbrief":"mod above r with double grave"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"latin small letter r with inverted breve","alternative":"latin small letter r inverted breve","short":"r inverted breve"},"mathspeak":{"default":"modifying above r with inverted breve","brief":"mod above r with inverted breve","sbrief":"mod above r with inverted breve"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"latin small letter u with double grave","alternative":"latin small letter u double grave","short":"u double grave"},"mathspeak":{"default":"modifying above u with double grave","brief":"mod above u with double grave","sbrief":"mod above u with double grave"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"latin small letter u with inverted breve","alternative":"latin small letter u inverted breve","short":"u inverted breve"},"mathspeak":{"default":"modifying above u with inverted breve","brief":"mod above u with inverted breve","sbrief":"mod above u with inverted breve"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"latin small letter s with comma below","alternative":"latin small letter s comma below","short":"s comma below"},"mathspeak":{"default":"modifying below s with comma below","brief":"mod below s with comma below","sbrief":"mod below s with comma below"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"latin small letter t with comma below","alternative":"latin small letter t comma below","short":"t comma below"},"mathspeak":{"default":"modifying below t with comma below","brief":"mod below t with comma below","sbrief":"mod below t with comma below"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"latin small letter h with caron","alternative":"latin small letter h caron","short":"h caron"},"mathspeak":{"default":"modifying above h with caron","brief":"mod above h with caron","sbrief":"mod above h with caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"latin small letter a with dot above","alternative":"latin small letter a overdot","short":"a overdot"},"mathspeak":{"default":"modifying above a with dot","brief":"mod above a with dot","sbrief":"mod above a with dot"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"latin small letter e with cedilla","alternative":"latin small letter e cedilla","short":"e cedilla"},"mathspeak":{"default":"modifying above e with cedilla","brief":"mod above e with cedilla","sbrief":"mod above e with cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"latin small letter o with dot above","alternative":"latin small letter o overdot","short":"o overdot"},"mathspeak":{"default":"modifying above o with dot","brief":"mod above o with dot","sbrief":"mod above o with dot"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"latin small letter y with macron","alternative":"latin small letter y overbar","short":"y overbar"},"mathspeak":{"default":"y overbar","brief":"y overbar","sbrief":"y overbar"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"latin small letter dotless j","alternative":"latin small letter dotless j","short":"dotless j"},"mathspeak":{"default":"modifying above d with tless j","brief":"mod above d with tless j","sbrief":"mod above d with tless j"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"latin small letter a ring below","alternative":"latin small letter a ring below","short":"a ring below"},"mathspeak":{"default":"modifying below a with ring below","brief":"mod below a with ring below","sbrief":"mod below a with ring below"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"latin small letter b with dot above","alternative":"latin small letter b overdot","short":"b overdot"},"mathspeak":{"default":"modifying above b with dot","brief":"mod above b with dot","sbrief":"mod above b with dot"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"latin small letter b with dot below","alternative":"latin small letter b underdot","short":"b underdot"},"mathspeak":{"default":"modifying below b with dot","brief":"mod below b with dot","sbrief":"mod below b with dot"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"latin small letter b with line below","alternative":"latin small letter b underbar","short":"b underbar"},"mathspeak":{"default":"b underbar","brief":"b underbar","sbrief":"b underbar"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"latin small letter d with dot above","alternative":"latin small letter d overdot","short":"d overdot"},"mathspeak":{"default":"modifying above d with dot","brief":"mod above d with dot","sbrief":"mod above d with dot"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"latin small letter d with dot below","alternative":"latin small letter d underdot","short":"d underdot"},"mathspeak":{"default":"modifying below d with dot","brief":"mod below d with dot","sbrief":"mod below d with dot"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"latin small letter d with line below","alternative":"latin small letter d underbar","short":"d underbar"},"mathspeak":{"default":"d underbar","brief":"d underbar","sbrief":"d underbar"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"latin small letter d with cedilla","alternative":"latin small letter d cedilla","short":"d cedilla"},"mathspeak":{"default":"modifying above d with cedilla","brief":"mod above d with cedilla","sbrief":"mod above d with cedilla"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"latin small letter d with circumflex below","alternative":"latin small letter d underhat","short":"d underhat"},"mathspeak":{"default":"modifying below d with caret","brief":"mod below d with caret","sbrief":"mod below d with caret"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"latin small letter e with circumflex below","alternative":"latin small letter e underhat","short":"e underhat"},"mathspeak":{"default":"modifying below e with caret","brief":"mod below e with caret","sbrief":"mod below e with caret"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"latin small letter e with tilde below","alternative":"latin small letter e tilde below","short":"e tilde below"},"mathspeak":{"default":"e undertilde","brief":"e undertilde","sbrief":"e undertilde"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"latin small letter f with dot above","alternative":"latin small letter f overdot","short":"f overdot"},"mathspeak":{"default":"modifying above f with dot","brief":"mod above f with dot","sbrief":"mod above f with dot"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"latin small letter g with macron","alternative":"latin small letter g overbar","short":"g overbar"},"mathspeak":{"default":"g overbar","brief":"g overbar","sbrief":"g overbar"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"latin small letter h with dot above","alternative":"latin small letter h overdot","short":"h overdot"},"mathspeak":{"default":"modifying above h with dot","brief":"mod above h with dot","sbrief":"mod above h with dot"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"latin small letter h with dot below","alternative":"latin small letter h underdot","short":"h underdot"},"mathspeak":{"default":"modifying below h with dot","brief":"mod below h with dot","sbrief":"mod below h with dot"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"latin small letter h with diaeresis","alternative":"latin small letter h double overdot","short":"h double overdot"},"mathspeak":{"default":"modifying above h with double dot","brief":"mod above h with double dot","sbrief":"mod above h with double dot"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"latin small letter h with cedilla","alternative":"latin small letter h cedilla","short":"h cedilla"},"mathspeak":{"default":"modifying above h with cedilla","brief":"mod above h with cedilla","sbrief":"mod above h with cedilla"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"latin small letter h with breve below","alternative":"latin small letter h breve below","short":"h breve below"},"mathspeak":{"default":"modifying below h with breve below","brief":"mod below h with breve below","sbrief":"mod below h with breve below"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"latin small letter i with tilde below","alternative":"latin small letter i tilde below","short":"i tilde below"},"mathspeak":{"default":"i undertilde","brief":"i undertilde","sbrief":"i undertilde"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"latin small letter k with acute","alternative":"latin small letter k acute","short":"k acute"},"mathspeak":{"default":"modifying above k with acute","brief":"mod above k with acute","sbrief":"mod above k with acute"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"latin small letter k with dot below","alternative":"latin small letter k underdot","short":"k underdot"},"mathspeak":{"default":"modifying below k with dot","brief":"mod below k with dot","sbrief":"mod below k with dot"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"latin small letter k with line below","alternative":"latin small letter k underbar","short":"k underbar"},"mathspeak":{"default":"k underbar","brief":"k underbar","sbrief":"k underbar"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"latin small letter l with dot below","alternative":"latin small letter l underdot","short":"l underdot"},"mathspeak":{"default":"modifying below l with dot","brief":"mod below l with dot","sbrief":"mod below l with dot"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"latin small letter l with line below","alternative":"latin small letter l underbar","short":"l underbar"},"mathspeak":{"default":"l underbar","brief":"l underbar","sbrief":"l underbar"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"latin small letter l with circumflex below","alternative":"latin small letter l underhat","short":"l underhat"},"mathspeak":{"default":"modifying below l with caret","brief":"mod below l with caret","sbrief":"mod below l with caret"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"latin small letter m with acute","alternative":"latin small letter m acute","short":"m acute"},"mathspeak":{"default":"modifying above m with acute","brief":"mod above m with acute","sbrief":"mod above m with acute"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"latin small letter m with dot above","alternative":"latin small letter m overdot","short":"m overdot"},"mathspeak":{"default":"modifying above m with dot","brief":"mod above m with dot","sbrief":"mod above m with dot"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"latin small letter m with dot below","alternative":"latin small letter m underdot","short":"m underdot"},"mathspeak":{"default":"modifying below m with dot","brief":"mod below m with dot","sbrief":"mod below m with dot"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"latin small letter n with dot above","alternative":"latin small letter n overdot","short":"n overdot"},"mathspeak":{"default":"modifying above n with dot","brief":"mod above n with dot","sbrief":"mod above n with dot"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"latin small letter n with dot below","alternative":"latin small letter n underdot","short":"n underdot"},"mathspeak":{"default":"modifying below n with dot","brief":"mod below n with dot","sbrief":"mod below n with dot"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"latin small letter n with line below","alternative":"latin small letter n underbar","short":"n underbar"},"mathspeak":{"default":"n underbar","brief":"n underbar","sbrief":"n underbar"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"latin small letter n with circumflex below","alternative":"latin small letter n underhat","short":"n underhat"},"mathspeak":{"default":"modifying below n with caret","brief":"mod below n with caret","sbrief":"mod below n with caret"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"latin small letter p with acute","alternative":"latin small letter p acute","short":"p acute"},"mathspeak":{"default":"modifying above p with acute","brief":"mod above p with acute","sbrief":"mod above p with acute"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"latin small letter p with dot above","alternative":"latin small letter p overdot","short":"p overdot"},"mathspeak":{"default":"modifying above p with dot","brief":"mod above p with dot","sbrief":"mod above p with dot"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"latin small letter r with dot above","alternative":"latin small letter r overdot","short":"r overdot"},"mathspeak":{"default":"modifying above r with dot","brief":"mod above r with dot","sbrief":"mod above r with dot"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"latin small letter r with dot below","alternative":"latin small letter r underdot","short":"r underdot"},"mathspeak":{"default":"modifying below r with dot","brief":"mod below r with dot","sbrief":"mod below r with dot"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"latin small letter r with line below","alternative":"latin small letter r underbar","short":"r underbar"},"mathspeak":{"default":"r underbar","brief":"r underbar","sbrief":"r underbar"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"latin small letter s with dot above","alternative":"latin small letter s overdot","short":"s overdot"},"mathspeak":{"default":"modifying above s with dot","brief":"mod above s with dot","sbrief":"mod above s with dot"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"latin small letter s with dot below","alternative":"latin small letter s underdot","short":"s underdot"},"mathspeak":{"default":"modifying below s with dot","brief":"mod below s with dot","sbrief":"mod below s with dot"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"latin small letter t with dot above","alternative":"latin small letter t overdot","short":"t overdot"},"mathspeak":{"default":"modifying above t with dot","brief":"mod above t with dot","sbrief":"mod above t with dot"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"latin small letter t with dot below","alternative":"latin small letter t underdot","short":"t underdot"},"mathspeak":{"default":"modifying below t with dot","brief":"mod below t with dot","sbrief":"mod below t with dot"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"latin small letter t with line below","alternative":"latin small letter t underbar","short":"t underbar"},"mathspeak":{"default":"t underbar","brief":"t underbar","sbrief":"t underbar"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"latin small letter t with circumflex below","alternative":"latin small letter t underhat","short":"t underhat"},"mathspeak":{"default":"modifying below t with caret","brief":"mod below t with caret","sbrief":"mod below t with caret"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"latin small letter u with diaeresis below","alternative":"latin small letter u double underdot","short":"u double underdot"},"mathspeak":{"default":"modifying below u with double dot","brief":"mod below u with double dot","sbrief":"mod below u with double dot"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"latin small letter u with tilde below","alternative":"latin small letter u tilde below","short":"u tilde below"},"mathspeak":{"default":"u undertilde","brief":"u undertilde","sbrief":"u undertilde"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"latin small letter u with circumflex below","alternative":"latin small letter u underhat","short":"u underhat"},"mathspeak":{"default":"modifying below u with caret","brief":"mod below u with caret","sbrief":"mod below u with caret"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"latin small letter v with tilde","alternative":"latin small letter v tilde","short":"v tilde"},"mathspeak":{"default":"v overtilde","brief":"v overtilde","sbrief":"v overtilde"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"latin small letter v with dot below","alternative":"latin small letter v underdot","short":"v underdot"},"mathspeak":{"default":"modifying below v with dot","brief":"mod below v with dot","sbrief":"mod below v with dot"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"latin small letter w with grave","alternative":"latin small letter w grave","short":"w grave"},"mathspeak":{"default":"modifying above w with grave","brief":"mod above w with grave","sbrief":"mod above w with grave"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"latin small letter w with acute","alternative":"latin small letter w acute","short":"w acute"},"mathspeak":{"default":"modifying above w with acute","brief":"mod above w with acute","sbrief":"mod above w with acute"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"latin small letter w with diaeresis","alternative":"latin small letter w double overdot","short":"w double overdot"},"mathspeak":{"default":"modifying above w with double dot","brief":"mod above w with double dot","sbrief":"mod above w with double dot"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"latin small letter w with dot above","alternative":"latin small letter w overdot","short":"w overdot"},"mathspeak":{"default":"modifying above w with dot","brief":"mod above w with dot","sbrief":"mod above w with dot"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"latin small letter w with dot below","alternative":"latin small letter w underdot","short":"w underdot"},"mathspeak":{"default":"modifying below w with dot","brief":"mod below w with dot","sbrief":"mod below w with dot"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"latin small letter x with dot above","alternative":"latin small letter x overdot","short":"x overdot"},"mathspeak":{"default":"modifying above x with dot","brief":"mod above x with dot","sbrief":"mod above x with dot"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"latin small letter x with diaeresis","alternative":"latin small letter x double overdot","short":"x double overdot"},"mathspeak":{"default":"modifying above x with double dot","brief":"mod above x with double dot","sbrief":"mod above x with double dot"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"latin small letter y with dot above","alternative":"latin small letter y overdot","short":"y overdot"},"mathspeak":{"default":"modifying above y with dot","brief":"mod above y with dot","sbrief":"mod above y with dot"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"latin small letter z with circumflex","alternative":"latin small letter z hat","short":"z hat"},"mathspeak":{"default":"modifying above z with caret","brief":"mod above z with caret","sbrief":"mod above z with caret"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"latin small letter z with dot below","alternative":"latin small letter z underdot","short":"z underdot"},"mathspeak":{"default":"modifying below z with dot","brief":"mod below z with dot","sbrief":"mod below z with dot"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"latin small letter z with line below","alternative":"latin small letter z underbar","short":"z underbar"},"mathspeak":{"default":"z underbar","brief":"z underbar","sbrief":"z underbar"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"latin small letter h with line below","alternative":"latin small letter h underbar","short":"h underbar"},"mathspeak":{"default":"h underbar","brief":"h underbar","sbrief":"h underbar"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"latin small letter t with diaeresis","alternative":"latin small letter t double overdot","short":"t double overdot"},"mathspeak":{"default":"modifying above t with double dot","brief":"mod above t with double dot","sbrief":"mod above t with double dot"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"latin small letter w with ring above","alternative":"latin small letter w ring","short":"w ring"},"mathspeak":{"default":"modifying above w with ring","brief":"mod above w with ring","sbrief":"mod above w with ring"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"latin small letter y with ring above","alternative":"latin small letter y ring","short":"y ring"},"mathspeak":{"default":"modifying above y with ring","brief":"mod above y with ring","sbrief":"mod above y with ring"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"latin small letter a with right half ring","alternative":"latin small letter a right half ring","short":"a right half ring"},"mathspeak":{"default":"modifying above a with right half ring","brief":"mod above a with right half ring","sbrief":"mod above a with right half ring"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"latin small letter a with dot below","alternative":"latin small letter a underdot","short":"a underdot"},"mathspeak":{"default":"modifying below a with dot","brief":"mod below a with dot","sbrief":"mod below a with dot"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"latin small letter a with hook above","alternative":"latin small letter a hook","short":"a hook"},"mathspeak":{"default":"modifying above a with hook","brief":"mod above a with hook","sbrief":"mod above a with hook"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"latin small letter e with dot below","alternative":"latin small letter e underdot","short":"e underdot"},"mathspeak":{"default":"modifying below e with dot","brief":"mod below e with dot","sbrief":"mod below e with dot"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"latin small letter e with hook above","alternative":"latin small letter e hook","short":"e hook"},"mathspeak":{"default":"modifying above e with hook","brief":"mod above e with hook","sbrief":"mod above e with hook"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"latin small letter e with tilde","alternative":"latin small letter e tilde","short":"e tilde"},"mathspeak":{"default":"e overtilde","brief":"e overtilde","sbrief":"e overtilde"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"latin small letter i with hook above","alternative":"latin small letter i hook","short":"i hook"},"mathspeak":{"default":"modifying above i with hook","brief":"mod above i with hook","sbrief":"mod above i with hook"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"latin small letter i with dot below","alternative":"latin small letter i underdot","short":"i underdot"},"mathspeak":{"default":"modifying below i with dot","brief":"mod below i with dot","sbrief":"mod below i with dot"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"latin small letter o with dot below","alternative":"latin small letter o underdot","short":"o underdot"},"mathspeak":{"default":"modifying below o with dot","brief":"mod below o with dot","sbrief":"mod below o with dot"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"latin small letter o with hook above","alternative":"latin small letter o hook","short":"o hook"},"mathspeak":{"default":"modifying above o with hook","brief":"mod above o with hook","sbrief":"mod above o with hook"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"latin small letter u with dot below","alternative":"latin small letter u underdot","short":"u underdot"},"mathspeak":{"default":"modifying below u with dot","brief":"mod below u with dot","sbrief":"mod below u with dot"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"latin small letter u with hook above","alternative":"latin small letter u hook","short":"u hook"},"mathspeak":{"default":"modifying above u with hook","brief":"mod above u with hook","sbrief":"mod above u with hook"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"latin small letter y with grave","alternative":"latin small letter y grave","short":"y grave"},"mathspeak":{"default":"modifying above y with grave","brief":"mod above y with grave","sbrief":"mod above y with grave"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"latin small letter y with dot below","alternative":"latin small letter y underdot","short":"y underdot"},"mathspeak":{"default":"modifying below y with dot","brief":"mod below y with dot","sbrief":"mod below y with dot"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"latin small letter y with hook above","alternative":"latin small letter y hook","short":"y hook"},"mathspeak":{"default":"modifying above y with hook","brief":"mod above y with hook","sbrief":"mod above y with hook"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"latin small letter y with tilde","alternative":"latin small letter y tilde","short":"y tilde"},"mathspeak":{"default":"y overtilde","brief":"y overtilde","sbrief":"y overtilde"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold-fraktur.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold-fraktur.js
deleted file mode 100644
index 4de56831ac..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold-fraktur.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital a","short":"bold fraktur cap a"},"mathspeak":{"default":"bold fraktur upper A"}},"key":"1D56C"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital b","short":"bold fraktur cap b"},"mathspeak":{"default":"bold fraktur upper B"}},"key":"1D56D"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital c","short":"bold fraktur cap c"},"mathspeak":{"default":"bold fraktur upper C"}},"key":"1D56E"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital d","short":"bold fraktur cap d"},"mathspeak":{"default":"bold fraktur upper D"}},"key":"1D56F"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital e","short":"bold fraktur cap e"},"mathspeak":{"default":"bold fraktur upper E"}},"key":"1D570"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital f","short":"bold fraktur cap f"},"mathspeak":{"default":"bold fraktur upper F"}},"key":"1D571"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital g","short":"bold fraktur cap g"},"mathspeak":{"default":"bold fraktur upper G"}},"key":"1D572"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital h","short":"bold fraktur cap h"},"mathspeak":{"default":"bold fraktur upper H"}},"key":"1D573"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital i","short":"bold fraktur cap i"},"mathspeak":{"default":"bold fraktur upper I"}},"key":"1D574"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital j","short":"bold fraktur cap j"},"mathspeak":{"default":"bold fraktur upper J"}},"key":"1D575"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital k","short":"bold fraktur cap k"},"mathspeak":{"default":"bold fraktur upper K"}},"key":"1D576"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital l","short":"bold fraktur cap l"},"mathspeak":{"default":"bold fraktur upper L"}},"key":"1D577"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital m","short":"bold fraktur cap m"},"mathspeak":{"default":"bold fraktur upper M"}},"key":"1D578"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital n","short":"bold fraktur cap n"},"mathspeak":{"default":"bold fraktur upper N"}},"key":"1D579"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital o","short":"bold fraktur cap o"},"mathspeak":{"default":"bold fraktur upper O"}},"key":"1D57A"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital p","short":"bold fraktur cap p"},"mathspeak":{"default":"bold fraktur upper P"}},"key":"1D57B"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital q","short":"bold fraktur cap q"},"mathspeak":{"default":"bold fraktur upper Q"}},"key":"1D57C"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital r","short":"bold fraktur cap r"},"mathspeak":{"default":"bold fraktur upper R"}},"key":"1D57D"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital s","short":"bold fraktur cap s"},"mathspeak":{"default":"bold fraktur upper S"}},"key":"1D57E"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital t","short":"bold fraktur cap t"},"mathspeak":{"default":"bold fraktur upper T"}},"key":"1D57F"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital u","short":"bold fraktur cap u"},"mathspeak":{"default":"bold fraktur upper U"}},"key":"1D580"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital v","short":"bold fraktur cap v"},"mathspeak":{"default":"bold fraktur upper V"}},"key":"1D581"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital w","short":"bold fraktur cap w"},"mathspeak":{"default":"bold fraktur upper W"}},"key":"1D582"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital x","short":"bold fraktur cap x"},"mathspeak":{"default":"bold fraktur upper X"}},"key":"1D583"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital y","short":"bold fraktur cap y"},"mathspeak":{"default":"bold fraktur upper Y"}},"key":"1D584"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital z","short":"bold fraktur cap z"},"mathspeak":{"default":"bold fraktur upper Z"}},"key":"1D585"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small a","short":"bold fraktur a"}},"key":"1D586"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small b","short":"bold fraktur b"}},"key":"1D587"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small c","short":"bold fraktur c"}},"key":"1D588"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small d","short":"bold fraktur d"}},"key":"1D589"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small e","short":"bold fraktur e"}},"key":"1D58A"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small f","short":"bold fraktur f"}},"key":"1D58B"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small g","short":"bold fraktur g"}},"key":"1D58C"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small h","short":"bold fraktur h"}},"key":"1D58D"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small i","short":"bold fraktur i"}},"key":"1D58E"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small j","short":"bold fraktur j"}},"key":"1D58F"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small k","short":"bold fraktur k"}},"key":"1D590"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small l","short":"bold fraktur l"}},"key":"1D591"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small m","short":"bold fraktur m"}},"key":"1D592"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small n","short":"bold fraktur n"}},"key":"1D593"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small o","short":"bold fraktur o"}},"key":"1D594"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small p","short":"bold fraktur p"}},"key":"1D595"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small q","short":"bold fraktur q"}},"key":"1D596"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small r","short":"bold fraktur r"}},"key":"1D597"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small s","short":"bold fraktur s"}},"key":"1D598"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small t","short":"bold fraktur t"}},"key":"1D599"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small u","short":"bold fraktur u"}},"key":"1D59A"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small v","short":"bold fraktur v"}},"key":"1D59B"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small w","short":"bold fraktur w"}},"key":"1D59C"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small x","short":"bold fraktur x"}},"key":"1D59D"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small y","short":"bold fraktur y"}},"key":"1D59E"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small z","short":"bold fraktur z"}},"key":"1D59F"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold-script.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold-script.js
deleted file mode 100644
index 5f818c2db8..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold-script.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"bold script capital a","short":"bold script cap a"},"mathspeak":{"default":"bold script upper A"}},"key":"1D4D0"},{"category":"Lu","mappings":{"default":{"default":"bold script capital b","short":"bold script cap b"},"mathspeak":{"default":"bold script upper B"}},"key":"1D4D1"},{"category":"Lu","mappings":{"default":{"default":"bold script capital c","short":"bold script cap c"},"mathspeak":{"default":"bold script upper C"}},"key":"1D4D2"},{"category":"Lu","mappings":{"default":{"default":"bold script capital d","short":"bold script cap d"},"mathspeak":{"default":"bold script upper D"}},"key":"1D4D3"},{"category":"Lu","mappings":{"default":{"default":"bold script capital e","short":"bold script cap e"},"mathspeak":{"default":"bold script upper E"}},"key":"1D4D4"},{"category":"Lu","mappings":{"default":{"default":"bold script capital f","short":"bold script cap f"},"mathspeak":{"default":"bold script upper F"}},"key":"1D4D5"},{"category":"Lu","mappings":{"default":{"default":"bold script capital g","short":"bold script cap g"},"mathspeak":{"default":"bold script upper G"}},"key":"1D4D6"},{"category":"Lu","mappings":{"default":{"default":"bold script capital h","short":"bold script cap h"},"mathspeak":{"default":"bold script upper H"}},"key":"1D4D7"},{"category":"Lu","mappings":{"default":{"default":"bold script capital i","short":"bold script cap i"},"mathspeak":{"default":"bold script upper I"}},"key":"1D4D8"},{"category":"Lu","mappings":{"default":{"default":"bold script capital j","short":"bold script cap j"},"mathspeak":{"default":"bold script upper J"}},"key":"1D4D9"},{"category":"Lu","mappings":{"default":{"default":"bold script capital k","short":"bold script cap k"},"mathspeak":{"default":"bold script upper K"}},"key":"1D4DA"},{"category":"Lu","mappings":{"default":{"default":"bold script capital l","short":"bold script cap l"},"mathspeak":{"default":"bold script upper L"}},"key":"1D4DB"},{"category":"Lu","mappings":{"default":{"default":"bold script capital m","short":"bold script cap m"},"mathspeak":{"default":"bold script upper M"}},"key":"1D4DC"},{"category":"Lu","mappings":{"default":{"default":"bold script capital n","short":"bold script cap n"},"mathspeak":{"default":"bold script upper N"}},"key":"1D4DD"},{"category":"Lu","mappings":{"default":{"default":"bold script capital o","short":"bold script cap o"},"mathspeak":{"default":"bold script upper O"}},"key":"1D4DE"},{"category":"Lu","mappings":{"default":{"default":"bold script capital p","short":"bold script cap p"},"mathspeak":{"default":"bold script upper P"}},"key":"1D4DF"},{"category":"Lu","mappings":{"default":{"default":"bold script capital q","short":"bold script cap q"},"mathspeak":{"default":"bold script upper Q"}},"key":"1D4E0"},{"category":"Lu","mappings":{"default":{"default":"bold script capital r","short":"bold script cap r"},"mathspeak":{"default":"bold script upper R"}},"key":"1D4E1"},{"category":"Lu","mappings":{"default":{"default":"bold script capital s","short":"bold script cap s"},"mathspeak":{"default":"bold script upper S"}},"key":"1D4E2"},{"category":"Lu","mappings":{"default":{"default":"bold script capital t","short":"bold script cap t"},"mathspeak":{"default":"bold script upper T"}},"key":"1D4E3"},{"category":"Lu","mappings":{"default":{"default":"bold script capital u","short":"bold script cap u"},"mathspeak":{"default":"bold script upper U"}},"key":"1D4E4"},{"category":"Lu","mappings":{"default":{"default":"bold script capital v","short":"bold script cap v"},"mathspeak":{"default":"bold script upper V"}},"key":"1D4E5"},{"category":"Lu","mappings":{"default":{"default":"bold script capital w","short":"bold script cap w"},"mathspeak":{"default":"bold script upper W"}},"key":"1D4E6"},{"category":"Lu","mappings":{"default":{"default":"bold script capital x","short":"bold script cap x"},"mathspeak":{"default":"bold script upper X"}},"key":"1D4E7"},{"category":"Lu","mappings":{"default":{"default":"bold script capital y","short":"bold script cap y"},"mathspeak":{"default":"bold script upper Y"}},"key":"1D4E8"},{"category":"Lu","mappings":{"default":{"default":"bold script capital z","short":"bold script cap z"},"mathspeak":{"default":"bold script upper Z"}},"key":"1D4E9"},{"category":"Ll","mappings":{"default":{"default":"bold script small a","short":"bold script a"}},"key":"1D4EA"},{"category":"Ll","mappings":{"default":{"default":"bold script small b","short":"bold script b"}},"key":"1D4EB"},{"category":"Ll","mappings":{"default":{"default":"bold script small c","short":"bold script c"}},"key":"1D4EC"},{"category":"Ll","mappings":{"default":{"default":"bold script small d","short":"bold script d"}},"key":"1D4ED"},{"category":"Ll","mappings":{"default":{"default":"bold script small e","short":"bold script e"}},"key":"1D4EE"},{"category":"Ll","mappings":{"default":{"default":"bold script small f","short":"bold script f"}},"key":"1D4EF"},{"category":"Ll","mappings":{"default":{"default":"bold script small g","short":"bold script g"}},"key":"1D4F0"},{"category":"Ll","mappings":{"default":{"default":"bold script small h","short":"bold script h"}},"key":"1D4F1"},{"category":"Ll","mappings":{"default":{"default":"bold script small i","short":"bold script i"}},"key":"1D4F2"},{"category":"Ll","mappings":{"default":{"default":"bold script small j","short":"bold script j"}},"key":"1D4F3"},{"category":"Ll","mappings":{"default":{"default":"bold script small k","short":"bold script k"}},"key":"1D4F4"},{"category":"Ll","mappings":{"default":{"default":"bold script small l","short":"bold script l"}},"key":"1D4F5"},{"category":"Ll","mappings":{"default":{"default":"bold script small m","short":"bold script m"}},"key":"1D4F6"},{"category":"Ll","mappings":{"default":{"default":"bold script small n","short":"bold script n"}},"key":"1D4F7"},{"category":"Ll","mappings":{"default":{"default":"bold script small o","short":"bold script o"}},"key":"1D4F8"},{"category":"Ll","mappings":{"default":{"default":"bold script small p","short":"bold script p"}},"key":"1D4F9"},{"category":"Ll","mappings":{"default":{"default":"bold script small q","short":"bold script q"}},"key":"1D4FA"},{"category":"Ll","mappings":{"default":{"default":"bold script small r","short":"bold script r"}},"key":"1D4FB"},{"category":"Ll","mappings":{"default":{"default":"bold script small s","short":"bold script s"}},"key":"1D4FC"},{"category":"Ll","mappings":{"default":{"default":"bold script small t","short":"bold script t"}},"key":"1D4FD"},{"category":"Ll","mappings":{"default":{"default":"bold script small u","short":"bold script u"}},"key":"1D4FE"},{"category":"Ll","mappings":{"default":{"default":"bold script small v","short":"bold script v"}},"key":"1D4FF"},{"category":"Ll","mappings":{"default":{"default":"bold script small w","short":"bold script w"}},"key":"1D500"},{"category":"Ll","mappings":{"default":{"default":"bold script small x","short":"bold script x"}},"key":"1D501"},{"category":"Ll","mappings":{"default":{"default":"bold script small y","short":"bold script y"}},"key":"1D502"},{"category":"Ll","mappings":{"default":{"default":"bold script small z","short":"bold script z"}},"key":"1D503"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold.js
deleted file mode 100644
index 37992baae3..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"bold capital a","short":"bold cap a"},"mathspeak":{"default":"bold upper A"}},"key":"1D400"},{"category":"Lu","mappings":{"default":{"default":"bold capital b","short":"bold cap b"},"mathspeak":{"default":"bold upper B"}},"key":"1D401"},{"category":"Lu","mappings":{"default":{"default":"bold capital c","short":"bold cap c"},"mathspeak":{"default":"bold upper C"}},"key":"1D402"},{"category":"Lu","mappings":{"default":{"default":"bold capital d","short":"bold cap d"},"mathspeak":{"default":"bold upper D"}},"key":"1D403"},{"category":"Lu","mappings":{"default":{"default":"bold capital e","short":"bold cap e"},"mathspeak":{"default":"bold upper E"}},"key":"1D404"},{"category":"Lu","mappings":{"default":{"default":"bold capital f","short":"bold cap f"},"mathspeak":{"default":"bold upper F"}},"key":"1D405"},{"category":"Lu","mappings":{"default":{"default":"bold capital g","short":"bold cap g"},"mathspeak":{"default":"bold upper G"}},"key":"1D406"},{"category":"Lu","mappings":{"default":{"default":"bold capital h","short":"bold cap h"},"mathspeak":{"default":"bold upper H"}},"key":"1D407"},{"category":"Lu","mappings":{"default":{"default":"bold capital i","short":"bold cap i"},"mathspeak":{"default":"bold upper I"}},"key":"1D408"},{"category":"Lu","mappings":{"default":{"default":"bold capital j","short":"bold cap j"},"mathspeak":{"default":"bold upper J"}},"key":"1D409"},{"category":"Lu","mappings":{"default":{"default":"bold capital k","short":"bold cap k"},"mathspeak":{"default":"bold upper K"}},"key":"1D40A"},{"category":"Lu","mappings":{"default":{"default":"bold capital l","short":"bold cap l"},"mathspeak":{"default":"bold upper L"}},"key":"1D40B"},{"category":"Lu","mappings":{"default":{"default":"bold capital m","short":"bold cap m"},"mathspeak":{"default":"bold upper M"}},"key":"1D40C"},{"category":"Lu","mappings":{"default":{"default":"bold capital n","short":"bold cap n"},"mathspeak":{"default":"bold upper N"}},"key":"1D40D"},{"category":"Lu","mappings":{"default":{"default":"bold capital o","short":"bold cap o"},"mathspeak":{"default":"bold upper O"}},"key":"1D40E"},{"category":"Lu","mappings":{"default":{"default":"bold capital p","short":"bold cap p"},"mathspeak":{"default":"bold upper P"}},"key":"1D40F"},{"category":"Lu","mappings":{"default":{"default":"bold capital q","short":"bold cap q"},"mathspeak":{"default":"bold upper Q"}},"key":"1D410"},{"category":"Lu","mappings":{"default":{"default":"bold capital r","short":"bold cap r"},"mathspeak":{"default":"bold upper R"}},"key":"1D411"},{"category":"Lu","mappings":{"default":{"default":"bold capital s","short":"bold cap s"},"mathspeak":{"default":"bold upper S"}},"key":"1D412"},{"category":"Lu","mappings":{"default":{"default":"bold capital t","short":"bold cap t"},"mathspeak":{"default":"bold upper T"}},"key":"1D413"},{"category":"Lu","mappings":{"default":{"default":"bold capital u","short":"bold cap u"},"mathspeak":{"default":"bold upper U"}},"key":"1D414"},{"category":"Lu","mappings":{"default":{"default":"bold capital v","short":"bold cap v"},"mathspeak":{"default":"bold upper V"}},"key":"1D415"},{"category":"Lu","mappings":{"default":{"default":"bold capital w","short":"bold cap w"},"mathspeak":{"default":"bold upper W"}},"key":"1D416"},{"category":"Lu","mappings":{"default":{"default":"bold capital x","short":"bold cap x"},"mathspeak":{"default":"bold upper X"}},"key":"1D417"},{"category":"Lu","mappings":{"default":{"default":"bold capital y","short":"bold cap y"},"mathspeak":{"default":"bold upper Y"}},"key":"1D418"},{"category":"Lu","mappings":{"default":{"default":"bold capital z","short":"bold cap z"},"mathspeak":{"default":"bold upper Z"}},"key":"1D419"},{"category":"Ll","mappings":{"default":{"default":"bold small a","short":"bold a"}},"key":"1D41A"},{"category":"Ll","mappings":{"default":{"default":"bold small b","short":"bold b"}},"key":"1D41B"},{"category":"Ll","mappings":{"default":{"default":"bold small c","short":"bold c"}},"key":"1D41C"},{"category":"Ll","mappings":{"default":{"default":"bold small d","short":"bold d"}},"key":"1D41D"},{"category":"Ll","mappings":{"default":{"default":"bold small e","short":"bold e"}},"key":"1D41E"},{"category":"Ll","mappings":{"default":{"default":"bold small f","short":"bold f"}},"key":"1D41F"},{"category":"Ll","mappings":{"default":{"default":"bold small g","short":"bold g"}},"key":"1D420"},{"category":"Ll","mappings":{"default":{"default":"bold small h","short":"bold h"}},"key":"1D421"},{"category":"Ll","mappings":{"default":{"default":"bold small i","short":"bold i"}},"key":"1D422"},{"category":"Ll","mappings":{"default":{"default":"bold small j","short":"bold j"}},"key":"1D423"},{"category":"Ll","mappings":{"default":{"default":"bold small k","short":"bold k"}},"key":"1D424"},{"category":"Ll","mappings":{"default":{"default":"bold small l","short":"bold l"}},"key":"1D425"},{"category":"Ll","mappings":{"default":{"default":"bold small m","short":"bold m"}},"key":"1D426"},{"category":"Ll","mappings":{"default":{"default":"bold small n","short":"bold n"}},"key":"1D427"},{"category":"Ll","mappings":{"default":{"default":"bold small o","short":"bold o"}},"key":"1D428"},{"category":"Ll","mappings":{"default":{"default":"bold small p","short":"bold p"}},"key":"1D429"},{"category":"Ll","mappings":{"default":{"default":"bold small q","short":"bold q"}},"key":"1D42A"},{"category":"Ll","mappings":{"default":{"default":"bold small r","short":"bold r"}},"key":"1D42B"},{"category":"Ll","mappings":{"default":{"default":"bold small s","short":"bold s"}},"key":"1D42C"},{"category":"Ll","mappings":{"default":{"default":"bold small t","short":"bold t"}},"key":"1D42D"},{"category":"Ll","mappings":{"default":{"default":"bold small u","short":"bold u"}},"key":"1D42E"},{"category":"Ll","mappings":{"default":{"default":"bold small v","short":"bold v"}},"key":"1D42F"},{"category":"Ll","mappings":{"default":{"default":"bold small w","short":"bold w"}},"key":"1D430"},{"category":"Ll","mappings":{"default":{"default":"bold small x","short":"bold x"}},"key":"1D431"},{"category":"Ll","mappings":{"default":{"default":"bold small y","short":"bold y"}},"key":"1D432"},{"category":"Ll","mappings":{"default":{"default":"bold small z","short":"bold z"}},"key":"1D433"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-double-struck.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-double-struck.js
deleted file mode 100644
index a7d1238611..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-double-struck.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"double struck capital a","short":"double struck cap a"},"mathspeak":{"default":"double struck upper A"}},"key":"1D538"},{"category":"Lu","mappings":{"default":{"default":"double struck capital b","short":"double struck cap b"},"mathspeak":{"default":"double struck upper B"}},"key":"1D539"},{"category":"Lu","mappings":{"default":{"default":"double struck capital c","short":"double struck cap c"},"mathspeak":{"default":"double struck upper C"}},"key":"2102"},{"category":"Lu","mappings":{"default":{"default":"double struck capital d","short":"double struck cap d"},"mathspeak":{"default":"double struck upper D"}},"key":"1D53B"},{"category":"Lu","mappings":{"default":{"default":"double struck capital e","short":"double struck cap e"},"mathspeak":{"default":"double struck upper E"}},"key":"1D53C"},{"category":"Lu","mappings":{"default":{"default":"double struck capital f","short":"double struck cap f"},"mathspeak":{"default":"double struck upper F"}},"key":"1D53D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital g","short":"double struck cap g"},"mathspeak":{"default":"double struck upper G"}},"key":"1D53E"},{"category":"Lu","mappings":{"default":{"default":"double struck capital h","short":"double struck cap h"},"mathspeak":{"default":"double struck upper H"}},"key":"210D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital i","short":"double struck cap i"},"mathspeak":{"default":"double struck upper I"}},"key":"1D540"},{"category":"Lu","mappings":{"default":{"default":"double struck capital j","short":"double struck cap j"},"mathspeak":{"default":"double struck upper J"}},"key":"1D541"},{"category":"Lu","mappings":{"default":{"default":"double struck capital k","short":"double struck cap k"},"mathspeak":{"default":"double struck upper K"}},"key":"1D542"},{"category":"Lu","mappings":{"default":{"default":"double struck capital l","short":"double struck cap l"},"mathspeak":{"default":"double struck upper L"}},"key":"1D543"},{"category":"Lu","mappings":{"default":{"default":"double struck capital m","short":"double struck cap m"},"mathspeak":{"default":"double struck upper M"}},"key":"1D544"},{"category":"Lu","mappings":{"default":{"default":"double struck capital n","short":"double struck cap n"},"mathspeak":{"default":"double struck upper N"}},"key":"2115"},{"category":"Lu","mappings":{"default":{"default":"double struck capital o","short":"double struck cap o"},"mathspeak":{"default":"double struck upper O"}},"key":"1D546"},{"category":"Lu","mappings":{"default":{"default":"double struck capital p","short":"double struck cap p"},"mathspeak":{"default":"double struck upper P"}},"key":"2119"},{"category":"Lu","mappings":{"default":{"default":"double struck capital q","short":"double struck cap q"},"mathspeak":{"default":"double struck upper Q"}},"key":"211A"},{"category":"Lu","mappings":{"default":{"default":"double struck capital r","short":"double struck cap r"},"mathspeak":{"default":"double struck upper R"}},"key":"211D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital s","short":"double struck cap s"},"mathspeak":{"default":"double struck upper S"}},"key":"1D54A"},{"category":"Lu","mappings":{"default":{"default":"double struck capital t","short":"double struck cap t"},"mathspeak":{"default":"double struck upper T"}},"key":"1D54B"},{"category":"Lu","mappings":{"default":{"default":"double struck capital u","short":"double struck cap u"},"mathspeak":{"default":"double struck upper U"}},"key":"1D54C"},{"category":"Lu","mappings":{"default":{"default":"double struck capital v","short":"double struck cap v"},"mathspeak":{"default":"double struck upper V"}},"key":"1D54D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital w","short":"double struck cap w"},"mathspeak":{"default":"double struck upper W"}},"key":"1D54E"},{"category":"Lu","mappings":{"default":{"default":"double struck capital x","short":"double struck cap x"},"mathspeak":{"default":"double struck upper X"}},"key":"1D54F"},{"category":"Lu","mappings":{"default":{"default":"double struck capital y","short":"double struck cap y"},"mathspeak":{"default":"double struck upper Y"}},"key":"1D550"},{"category":"Lu","mappings":{"default":{"default":"double struck capital z","short":"double struck cap z"},"mathspeak":{"default":"double struck upper Z"}},"key":"2124"},{"category":"Ll","mappings":{"default":{"default":"double struck small a","short":"double struck a"}},"key":"1D552"},{"category":"Ll","mappings":{"default":{"default":"double struck small b","short":"double struck b"}},"key":"1D553"},{"category":"Ll","mappings":{"default":{"default":"double struck small c","short":"double struck c"}},"key":"1D554"},{"category":"Ll","mappings":{"default":{"default":"double struck small d","short":"double struck d"}},"key":"1D555"},{"category":"Ll","mappings":{"default":{"default":"double struck small e","short":"double struck e"}},"key":"1D556"},{"category":"Ll","mappings":{"default":{"default":"double struck small f","short":"double struck f"}},"key":"1D557"},{"category":"Ll","mappings":{"default":{"default":"double struck small g","short":"double struck g"}},"key":"1D558"},{"category":"Ll","mappings":{"default":{"default":"double struck small h","short":"double struck h"}},"key":"1D559"},{"category":"Ll","mappings":{"default":{"default":"double struck small i","short":"double struck i"}},"key":"1D55A"},{"category":"Ll","mappings":{"default":{"default":"double struck small j","short":"double struck j"}},"key":"1D55B"},{"category":"Ll","mappings":{"default":{"default":"double struck small k","short":"double struck k"}},"key":"1D55C"},{"category":"Ll","mappings":{"default":{"default":"double struck small l","short":"double struck l"}},"key":"1D55D"},{"category":"Ll","mappings":{"default":{"default":"double struck small m","short":"double struck m"}},"key":"1D55E"},{"category":"Ll","mappings":{"default":{"default":"double struck small n","short":"double struck n"}},"key":"1D55F"},{"category":"Ll","mappings":{"default":{"default":"double struck small o","short":"double struck o"}},"key":"1D560"},{"category":"Ll","mappings":{"default":{"default":"double struck small p","short":"double struck p"}},"key":"1D561"},{"category":"Ll","mappings":{"default":{"default":"double struck small q","short":"double struck q"}},"key":"1D562"},{"category":"Ll","mappings":{"default":{"default":"double struck small r","short":"double struck r"}},"key":"1D563"},{"category":"Ll","mappings":{"default":{"default":"double struck small s","short":"double struck s"}},"key":"1D564"},{"category":"Ll","mappings":{"default":{"default":"double struck small t","short":"double struck t"}},"key":"1D565"},{"category":"Ll","mappings":{"default":{"default":"double struck small u","short":"double struck u"}},"key":"1D566"},{"category":"Ll","mappings":{"default":{"default":"double struck small v","short":"double struck v"}},"key":"1D567"},{"category":"Ll","mappings":{"default":{"default":"double struck small w","short":"double struck w"}},"key":"1D568"},{"category":"Ll","mappings":{"default":{"default":"double struck small x","short":"double struck x"}},"key":"1D569"},{"category":"Ll","mappings":{"default":{"default":"double struck small y","short":"double struck y"}},"key":"1D56A"},{"category":"Ll","mappings":{"default":{"default":"double struck small z","short":"double struck z"}},"key":"1D56B"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-fraktur.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-fraktur.js
deleted file mode 100644
index 6cef78aab3..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-fraktur.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital a","short":"fraktur cap a"},"mathspeak":{"default":"fraktur upper A"}},"key":"1D504"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital b","short":"fraktur cap b"},"mathspeak":{"default":"fraktur upper B"}},"key":"1D505"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital c","short":"fraktur cap c"},"mathspeak":{"default":"fraktur upper C"}},"key":"212D"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital d","short":"fraktur cap d"},"mathspeak":{"default":"fraktur upper D"}},"key":"1D507"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital e","short":"fraktur cap e"},"mathspeak":{"default":"fraktur upper E"}},"key":"1D508"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital f","short":"fraktur cap f"},"mathspeak":{"default":"fraktur upper F"}},"key":"1D509"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital g","short":"fraktur cap g"},"mathspeak":{"default":"fraktur upper G"}},"key":"1D50A"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital h","short":"fraktur cap h"},"mathspeak":{"default":"fraktur upper H"}},"key":"210C"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital i","short":"fraktur cap i"},"mathspeak":{"default":"fraktur upper I"}},"key":"2111"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital j","short":"fraktur cap j"},"mathspeak":{"default":"fraktur upper J"}},"key":"1D50D"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital k","short":"fraktur cap k"},"mathspeak":{"default":"fraktur upper K"}},"key":"1D50E"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital l","short":"fraktur cap l"},"mathspeak":{"default":"fraktur upper L"}},"key":"1D50F"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital m","short":"fraktur cap m"},"mathspeak":{"default":"fraktur upper M"}},"key":"1D510"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital n","short":"fraktur cap n"},"mathspeak":{"default":"fraktur upper N"}},"key":"1D511"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital o","short":"fraktur cap o"},"mathspeak":{"default":"fraktur upper O"}},"key":"1D512"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital p","short":"fraktur cap p"},"mathspeak":{"default":"fraktur upper P"}},"key":"1D513"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital q","short":"fraktur cap q"},"mathspeak":{"default":"fraktur upper Q"}},"key":"1D514"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital r","short":"fraktur cap r"},"mathspeak":{"default":"fraktur upper R"}},"key":"211C"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital s","short":"fraktur cap s"},"mathspeak":{"default":"fraktur upper S"}},"key":"1D516"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital t","short":"fraktur cap t"},"mathspeak":{"default":"fraktur upper T"}},"key":"1D517"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital u","short":"fraktur cap u"},"mathspeak":{"default":"fraktur upper U"}},"key":"1D518"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital v","short":"fraktur cap v"},"mathspeak":{"default":"fraktur upper V"}},"key":"1D519"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital w","short":"fraktur cap w"},"mathspeak":{"default":"fraktur upper W"}},"key":"1D51A"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital x","short":"fraktur cap x"},"mathspeak":{"default":"fraktur upper X"}},"key":"1D51B"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital y","short":"fraktur cap y"},"mathspeak":{"default":"fraktur upper Y"}},"key":"1D51C"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital z","short":"fraktur cap z"},"mathspeak":{"default":"fraktur upper Z"}},"key":"2128"},{"category":"Ll","mappings":{"default":{"default":"fraktur small a","short":"fraktur a"}},"key":"1D51E"},{"category":"Ll","mappings":{"default":{"default":"fraktur small b","short":"fraktur b"}},"key":"1D51F"},{"category":"Ll","mappings":{"default":{"default":"fraktur small c","short":"fraktur c"}},"key":"1D520"},{"category":"Ll","mappings":{"default":{"default":"fraktur small d","short":"fraktur d"}},"key":"1D521"},{"category":"Ll","mappings":{"default":{"default":"fraktur small e","short":"fraktur e"}},"key":"1D522"},{"category":"Ll","mappings":{"default":{"default":"fraktur small f","short":"fraktur f"}},"key":"1D523"},{"category":"Ll","mappings":{"default":{"default":"fraktur small g","short":"fraktur g"}},"key":"1D524"},{"category":"Ll","mappings":{"default":{"default":"fraktur small h","short":"fraktur h"}},"key":"1D525"},{"category":"Ll","mappings":{"default":{"default":"fraktur small i","short":"fraktur i"}},"key":"1D526"},{"category":"Ll","mappings":{"default":{"default":"fraktur small j","short":"fraktur j"}},"key":"1D527"},{"category":"Ll","mappings":{"default":{"default":"fraktur small k","short":"fraktur k"}},"key":"1D528"},{"category":"Ll","mappings":{"default":{"default":"fraktur small l","short":"fraktur l"}},"key":"1D529"},{"category":"Ll","mappings":{"default":{"default":"fraktur small m","short":"fraktur m"}},"key":"1D52A"},{"category":"Ll","mappings":{"default":{"default":"fraktur small n","short":"fraktur n"}},"key":"1D52B"},{"category":"Ll","mappings":{"default":{"default":"fraktur small o","short":"fraktur o"}},"key":"1D52C"},{"category":"Ll","mappings":{"default":{"default":"fraktur small p","short":"fraktur p"}},"key":"1D52D"},{"category":"Ll","mappings":{"default":{"default":"fraktur small q","short":"fraktur q"}},"key":"1D52E"},{"category":"Ll","mappings":{"default":{"default":"fraktur small r","short":"fraktur r"}},"key":"1D52F"},{"category":"Ll","mappings":{"default":{"default":"fraktur small s","short":"fraktur s"}},"key":"1D530"},{"category":"Ll","mappings":{"default":{"default":"fraktur small t","short":"fraktur t"}},"key":"1D531"},{"category":"Ll","mappings":{"default":{"default":"fraktur small u","short":"fraktur u"}},"key":"1D532"},{"category":"Ll","mappings":{"default":{"default":"fraktur small v","short":"fraktur v"}},"key":"1D533"},{"category":"Ll","mappings":{"default":{"default":"fraktur small w","short":"fraktur w"}},"key":"1D534"},{"category":"Ll","mappings":{"default":{"default":"fraktur small x","short":"fraktur x"}},"key":"1D535"},{"category":"Ll","mappings":{"default":{"default":"fraktur small y","short":"fraktur y"}},"key":"1D536"},{"category":"Ll","mappings":{"default":{"default":"fraktur small z","short":"fraktur z"}},"key":"1D537"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-italic.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-italic.js
deleted file mode 100644
index 944b57ee15..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-italic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"italic capital a","short":"italic cap a"},"mathspeak":{"default":"italic upper A"}},"key":"1D434"},{"category":"Lu","mappings":{"default":{"default":"italic capital b","short":"italic cap b"},"mathspeak":{"default":"italic upper B"}},"key":"1D435"},{"category":"Lu","mappings":{"default":{"default":"italic capital c","short":"italic cap c"},"mathspeak":{"default":"italic upper C"}},"key":"1D436"},{"category":"Lu","mappings":{"default":{"default":"italic capital d","short":"italic cap d"},"mathspeak":{"default":"italic upper D"}},"key":"1D437"},{"category":"Lu","mappings":{"default":{"default":"italic capital e","short":"italic cap e"},"mathspeak":{"default":"italic upper E"}},"key":"1D438"},{"category":"Lu","mappings":{"default":{"default":"italic capital f","short":"italic cap f"},"mathspeak":{"default":"italic upper F"}},"key":"1D439"},{"category":"Lu","mappings":{"default":{"default":"italic capital g","short":"italic cap g"},"mathspeak":{"default":"italic upper G"}},"key":"1D43A"},{"category":"Lu","mappings":{"default":{"default":"italic capital h","short":"italic cap h"},"mathspeak":{"default":"italic upper H"}},"key":"1D43B"},{"category":"Lu","mappings":{"default":{"default":"italic capital i","short":"italic cap i"},"mathspeak":{"default":"italic upper I"}},"key":"1D43C"},{"category":"Lu","mappings":{"default":{"default":"italic capital j","short":"italic cap j"},"mathspeak":{"default":"italic upper J"}},"key":"1D43D"},{"category":"Lu","mappings":{"default":{"default":"italic capital k","short":"italic cap k"},"mathspeak":{"default":"italic upper K"}},"key":"1D43E"},{"category":"Lu","mappings":{"default":{"default":"italic capital l","short":"italic cap l"},"mathspeak":{"default":"italic upper L"}},"key":"1D43F"},{"category":"Lu","mappings":{"default":{"default":"italic capital m","short":"italic cap m"},"mathspeak":{"default":"italic upper M"}},"key":"1D440"},{"category":"Lu","mappings":{"default":{"default":"italic capital n","short":"italic cap n"},"mathspeak":{"default":"italic upper N"}},"key":"1D441"},{"category":"Lu","mappings":{"default":{"default":"italic capital o","short":"italic cap o"},"mathspeak":{"default":"italic upper O"}},"key":"1D442"},{"category":"Lu","mappings":{"default":{"default":"italic capital p","short":"italic cap p"},"mathspeak":{"default":"italic upper P"}},"key":"1D443"},{"category":"Lu","mappings":{"default":{"default":"italic capital q","short":"italic cap q"},"mathspeak":{"default":"italic upper Q"}},"key":"1D444"},{"category":"Lu","mappings":{"default":{"default":"italic capital r","short":"italic cap r"},"mathspeak":{"default":"italic upper R"}},"key":"1D445"},{"category":"Lu","mappings":{"default":{"default":"italic capital s","short":"italic cap s"},"mathspeak":{"default":"italic upper S"}},"key":"1D446"},{"category":"Lu","mappings":{"default":{"default":"italic capital t","short":"italic cap t"},"mathspeak":{"default":"italic upper T"}},"key":"1D447"},{"category":"Lu","mappings":{"default":{"default":"italic capital u","short":"italic cap u"},"mathspeak":{"default":"italic upper U"}},"key":"1D448"},{"category":"Lu","mappings":{"default":{"default":"italic capital v","short":"italic cap v"},"mathspeak":{"default":"italic upper V"}},"key":"1D449"},{"category":"Lu","mappings":{"default":{"default":"italic capital w","short":"italic cap w"},"mathspeak":{"default":"italic upper W"}},"key":"1D44A"},{"category":"Lu","mappings":{"default":{"default":"italic capital x","short":"italic cap x"},"mathspeak":{"default":"italic upper X"}},"key":"1D44B"},{"category":"Lu","mappings":{"default":{"default":"italic capital y","short":"italic cap y"},"mathspeak":{"default":"italic upper Y"}},"key":"1D44C"},{"category":"Lu","mappings":{"default":{"default":"italic capital z","short":"italic cap z"},"mathspeak":{"default":"italic upper Z"}},"key":"1D44D"},{"category":"Ll","mappings":{"default":{"default":"italic small a","short":"italic a"}},"key":"1D44E"},{"category":"Ll","mappings":{"default":{"default":"italic small b","short":"italic b"}},"key":"1D44F"},{"category":"Ll","mappings":{"default":{"default":"italic small c","short":"italic c"}},"key":"1D450"},{"category":"Ll","mappings":{"default":{"default":"italic small d","short":"italic d"}},"key":"1D451"},{"category":"Ll","mappings":{"default":{"default":"italic small e","short":"italic e"}},"key":"1D452"},{"category":"Ll","mappings":{"default":{"default":"italic small f","short":"italic f"}},"key":"1D453"},{"category":"Ll","mappings":{"default":{"default":"italic small g","short":"italic g"}},"key":"1D454"},{"category":"Ll","mappings":{"default":{"default":"italic small h","short":"italic h"},"physics":{"default":"planck constant"}},"key":"210E"},{"category":"Ll","mappings":{"default":{"default":"italic small i","short":"italic i"}},"key":"1D456"},{"category":"Ll","mappings":{"default":{"default":"italic small j","short":"italic j"}},"key":"1D457"},{"category":"Ll","mappings":{"default":{"default":"italic small k","short":"italic k"}},"key":"1D458"},{"category":"Ll","mappings":{"default":{"default":"italic small l","short":"italic l"}},"key":"1D459"},{"category":"Ll","mappings":{"default":{"default":"italic small m","short":"italic m"}},"key":"1D45A"},{"category":"Ll","mappings":{"default":{"default":"italic small n","short":"italic n"}},"key":"1D45B"},{"category":"Ll","mappings":{"default":{"default":"italic small o","short":"italic o"}},"key":"1D45C"},{"category":"Ll","mappings":{"default":{"default":"italic small p","short":"italic p"}},"key":"1D45D"},{"category":"Ll","mappings":{"default":{"default":"italic small q","short":"italic q"}},"key":"1D45E"},{"category":"Ll","mappings":{"default":{"default":"italic small r","short":"italic r"}},"key":"1D45F"},{"category":"Ll","mappings":{"default":{"default":"italic small s","short":"italic s"}},"key":"1D460"},{"category":"Ll","mappings":{"default":{"default":"italic small t","short":"italic t"}},"key":"1D461"},{"category":"Ll","mappings":{"default":{"default":"italic small u","short":"italic u"}},"key":"1D462"},{"category":"Ll","mappings":{"default":{"default":"italic small v","short":"italic v"}},"key":"1D463"},{"category":"Ll","mappings":{"default":{"default":"italic small w","short":"italic w"}},"key":"1D464"},{"category":"Ll","mappings":{"default":{"default":"italic small x","short":"italic x"}},"key":"1D465"},{"category":"Ll","mappings":{"default":{"default":"italic small y","short":"italic y"}},"key":"1D466"},{"category":"Ll","mappings":{"default":{"default":"italic small z","short":"italic z"}},"key":"1D467"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-monospace.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-monospace.js
deleted file mode 100644
index 1be5eb2c18..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-monospace.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"monospace capital a","short":"monospace cap a"},"mathspeak":{"default":"monospace upper A"}},"key":"1D670"},{"category":"Lu","mappings":{"default":{"default":"monospace capital b","short":"monospace cap b"},"mathspeak":{"default":"monospace upper B"}},"key":"1D671"},{"category":"Lu","mappings":{"default":{"default":"monospace capital c","short":"monospace cap c"},"mathspeak":{"default":"monospace upper C"}},"key":"1D672"},{"category":"Lu","mappings":{"default":{"default":"monospace capital d","short":"monospace cap d"},"mathspeak":{"default":"monospace upper D"}},"key":"1D673"},{"category":"Lu","mappings":{"default":{"default":"monospace capital e","short":"monospace cap e"},"mathspeak":{"default":"monospace upper E"}},"key":"1D674"},{"category":"Lu","mappings":{"default":{"default":"monospace capital f","short":"monospace cap f"},"mathspeak":{"default":"monospace upper F"}},"key":"1D675"},{"category":"Lu","mappings":{"default":{"default":"monospace capital g","short":"monospace cap g"},"mathspeak":{"default":"monospace upper G"}},"key":"1D676"},{"category":"Lu","mappings":{"default":{"default":"monospace capital h","short":"monospace cap h"},"mathspeak":{"default":"monospace upper H"}},"key":"1D677"},{"category":"Lu","mappings":{"default":{"default":"monospace capital i","short":"monospace cap i"},"mathspeak":{"default":"monospace upper I"}},"key":"1D678"},{"category":"Lu","mappings":{"default":{"default":"monospace capital j","short":"monospace cap j"},"mathspeak":{"default":"monospace upper J"}},"key":"1D679"},{"category":"Lu","mappings":{"default":{"default":"monospace capital k","short":"monospace cap k"},"mathspeak":{"default":"monospace upper K"}},"key":"1D67A"},{"category":"Lu","mappings":{"default":{"default":"monospace capital l","short":"monospace cap l"},"mathspeak":{"default":"monospace upper L"}},"key":"1D67B"},{"category":"Lu","mappings":{"default":{"default":"monospace capital m","short":"monospace cap m"},"mathspeak":{"default":"monospace upper M"}},"key":"1D67C"},{"category":"Lu","mappings":{"default":{"default":"monospace capital n","short":"monospace cap n"},"mathspeak":{"default":"monospace upper N"}},"key":"1D67D"},{"category":"Lu","mappings":{"default":{"default":"monospace capital o","short":"monospace cap o"},"mathspeak":{"default":"monospace upper O"}},"key":"1D67E"},{"category":"Lu","mappings":{"default":{"default":"monospace capital p","short":"monospace cap p"},"mathspeak":{"default":"monospace upper P"}},"key":"1D67F"},{"category":"Lu","mappings":{"default":{"default":"monospace capital q","short":"monospace cap q"},"mathspeak":{"default":"monospace upper Q"}},"key":"1D680"},{"category":"Lu","mappings":{"default":{"default":"monospace capital r","short":"monospace cap r"},"mathspeak":{"default":"monospace upper R"}},"key":"1D681"},{"category":"Lu","mappings":{"default":{"default":"monospace capital s","short":"monospace cap s"},"mathspeak":{"default":"monospace upper S"}},"key":"1D682"},{"category":"Lu","mappings":{"default":{"default":"monospace capital t","short":"monospace cap t"},"mathspeak":{"default":"monospace upper T"}},"key":"1D683"},{"category":"Lu","mappings":{"default":{"default":"monospace capital u","short":"monospace cap u"},"mathspeak":{"default":"monospace upper U"}},"key":"1D684"},{"category":"Lu","mappings":{"default":{"default":"monospace capital v","short":"monospace cap v"},"mathspeak":{"default":"monospace upper V"}},"key":"1D685"},{"category":"Lu","mappings":{"default":{"default":"monospace capital w","short":"monospace cap w"},"mathspeak":{"default":"monospace upper W"}},"key":"1D686"},{"category":"Lu","mappings":{"default":{"default":"monospace capital x","short":"monospace cap x"},"mathspeak":{"default":"monospace upper X"}},"key":"1D687"},{"category":"Lu","mappings":{"default":{"default":"monospace capital y","short":"monospace cap y"},"mathspeak":{"default":"monospace upper Y"}},"key":"1D688"},{"category":"Lu","mappings":{"default":{"default":"monospace capital z","short":"monospace cap z"},"mathspeak":{"default":"monospace upper Z"}},"key":"1D689"},{"category":"Ll","mappings":{"default":{"default":"monospace small a","short":"monospace a"}},"key":"1D68A"},{"category":"Ll","mappings":{"default":{"default":"monospace small b","short":"monospace b"}},"key":"1D68B"},{"category":"Ll","mappings":{"default":{"default":"monospace small c","short":"monospace c"}},"key":"1D68C"},{"category":"Ll","mappings":{"default":{"default":"monospace small d","short":"monospace d"}},"key":"1D68D"},{"category":"Ll","mappings":{"default":{"default":"monospace small e","short":"monospace e"}},"key":"1D68E"},{"category":"Ll","mappings":{"default":{"default":"monospace small f","short":"monospace f"}},"key":"1D68F"},{"category":"Ll","mappings":{"default":{"default":"monospace small g","short":"monospace g"}},"key":"1D690"},{"category":"Ll","mappings":{"default":{"default":"monospace small h","short":"monospace h"}},"key":"1D691"},{"category":"Ll","mappings":{"default":{"default":"monospace small i","short":"monospace i"}},"key":"1D692"},{"category":"Ll","mappings":{"default":{"default":"monospace small j","short":"monospace j"}},"key":"1D693"},{"category":"Ll","mappings":{"default":{"default":"monospace small k","short":"monospace k"}},"key":"1D694"},{"category":"Ll","mappings":{"default":{"default":"monospace small l","short":"monospace l"}},"key":"1D695"},{"category":"Ll","mappings":{"default":{"default":"monospace small m","short":"monospace m"}},"key":"1D696"},{"category":"Ll","mappings":{"default":{"default":"monospace small n","short":"monospace n"}},"key":"1D697"},{"category":"Ll","mappings":{"default":{"default":"monospace small o","short":"monospace o"}},"key":"1D698"},{"category":"Ll","mappings":{"default":{"default":"monospace small p","short":"monospace p"}},"key":"1D699"},{"category":"Ll","mappings":{"default":{"default":"monospace small q","short":"monospace q"}},"key":"1D69A"},{"category":"Ll","mappings":{"default":{"default":"monospace small r","short":"monospace r"}},"key":"1D69B"},{"category":"Ll","mappings":{"default":{"default":"monospace small s","short":"monospace s"}},"key":"1D69C"},{"category":"Ll","mappings":{"default":{"default":"monospace small t","short":"monospace t"}},"key":"1D69D"},{"category":"Ll","mappings":{"default":{"default":"monospace small u","short":"monospace u"}},"key":"1D69E"},{"category":"Ll","mappings":{"default":{"default":"monospace small v","short":"monospace v"}},"key":"1D69F"},{"category":"Ll","mappings":{"default":{"default":"monospace small w","short":"monospace w"}},"key":"1D6A0"},{"category":"Ll","mappings":{"default":{"default":"monospace small x","short":"monospace x"}},"key":"1D6A1"},{"category":"Ll","mappings":{"default":{"default":"monospace small y","short":"monospace y"}},"key":"1D6A2"},{"category":"Ll","mappings":{"default":{"default":"monospace small z","short":"monospace z"}},"key":"1D6A3"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif-bold.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif-bold.js
deleted file mode 100644
index d5b39fc79a..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital a","short":"sans serif bold cap a"},"mathspeak":{"default":"sans serif bold upper A"}},"key":"1D5D4"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital b","short":"sans serif bold cap b"},"mathspeak":{"default":"sans serif bold upper B"}},"key":"1D5D5"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital c","short":"sans serif bold cap c"},"mathspeak":{"default":"sans serif bold upper C"}},"key":"1D5D6"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital d","short":"sans serif bold cap d"},"mathspeak":{"default":"sans serif bold upper D"}},"key":"1D5D7"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital e","short":"sans serif bold cap e"},"mathspeak":{"default":"sans serif bold upper E"}},"key":"1D5D8"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital f","short":"sans serif bold cap f"},"mathspeak":{"default":"sans serif bold upper F"}},"key":"1D5D9"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital g","short":"sans serif bold cap g"},"mathspeak":{"default":"sans serif bold upper G"}},"key":"1D5DA"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital h","short":"sans serif bold cap h"},"mathspeak":{"default":"sans serif bold upper H"}},"key":"1D5DB"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital i","short":"sans serif bold cap i"},"mathspeak":{"default":"sans serif bold upper I"}},"key":"1D5DC"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital j","short":"sans serif bold cap j"},"mathspeak":{"default":"sans serif bold upper J"}},"key":"1D5DD"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital k","short":"sans serif bold cap k"},"mathspeak":{"default":"sans serif bold upper K"}},"key":"1D5DE"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital l","short":"sans serif bold cap l"},"mathspeak":{"default":"sans serif bold upper L"}},"key":"1D5DF"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital m","short":"sans serif bold cap m"},"mathspeak":{"default":"sans serif bold upper M"}},"key":"1D5E0"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital n","short":"sans serif bold cap n"},"mathspeak":{"default":"sans serif bold upper N"}},"key":"1D5E1"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital o","short":"sans serif bold cap o"},"mathspeak":{"default":"sans serif bold upper O"}},"key":"1D5E2"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital p","short":"sans serif bold cap p"},"mathspeak":{"default":"sans serif bold upper P"}},"key":"1D5E3"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital q","short":"sans serif bold cap q"},"mathspeak":{"default":"sans serif bold upper Q"}},"key":"1D5E4"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital r","short":"sans serif bold cap r"},"mathspeak":{"default":"sans serif bold upper R"}},"key":"1D5E5"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital s","short":"sans serif bold cap s"},"mathspeak":{"default":"sans serif bold upper S"}},"key":"1D5E6"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital t","short":"sans serif bold cap t"},"mathspeak":{"default":"sans serif bold upper T"}},"key":"1D5E7"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital u","short":"sans serif bold cap u"},"mathspeak":{"default":"sans serif bold upper U"}},"key":"1D5E8"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital v","short":"sans serif bold cap v"},"mathspeak":{"default":"sans serif bold upper V"}},"key":"1D5E9"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital w","short":"sans serif bold cap w"},"mathspeak":{"default":"sans serif bold upper W"}},"key":"1D5EA"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital x","short":"sans serif bold cap x"},"mathspeak":{"default":"sans serif bold upper X"}},"key":"1D5EB"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital y","short":"sans serif bold cap y"},"mathspeak":{"default":"sans serif bold upper Y"}},"key":"1D5EC"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital z","short":"sans serif bold cap z"},"mathspeak":{"default":"sans serif bold upper Z"}},"key":"1D5ED"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small a","short":"sans serif bold a"}},"key":"1D5EE"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small b","short":"sans serif bold b"}},"key":"1D5EF"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small c","short":"sans serif bold c"}},"key":"1D5F0"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small d","short":"sans serif bold d"}},"key":"1D5F1"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small e","short":"sans serif bold e"}},"key":"1D5F2"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small f","short":"sans serif bold f"}},"key":"1D5F3"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small g","short":"sans serif bold g"}},"key":"1D5F4"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small h","short":"sans serif bold h"}},"key":"1D5F5"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small i","short":"sans serif bold i"}},"key":"1D5F6"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small j","short":"sans serif bold j"}},"key":"1D5F7"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small k","short":"sans serif bold k"}},"key":"1D5F8"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small l","short":"sans serif bold l"}},"key":"1D5F9"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small m","short":"sans serif bold m"}},"key":"1D5FA"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small n","short":"sans serif bold n"}},"key":"1D5FB"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small o","short":"sans serif bold o"}},"key":"1D5FC"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small p","short":"sans serif bold p"}},"key":"1D5FD"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small q","short":"sans serif bold q"}},"key":"1D5FE"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small r","short":"sans serif bold r"}},"key":"1D5FF"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small s","short":"sans serif bold s"}},"key":"1D600"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small t","short":"sans serif bold t"}},"key":"1D601"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small u","short":"sans serif bold u"}},"key":"1D602"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small v","short":"sans serif bold v"}},"key":"1D603"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small w","short":"sans serif bold w"}},"key":"1D604"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small x","short":"sans serif bold x"}},"key":"1D605"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small y","short":"sans serif bold y"}},"key":"1D606"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small z","short":"sans serif bold z"}},"key":"1D607"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif-italic.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif-italic.js
deleted file mode 100644
index c12c5c14cf..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif-italic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital a","short":"sans serif italic cap a"},"mathspeak":{"default":"sans serif italic upper A"}},"key":"1D608"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital b","short":"sans serif italic cap b"},"mathspeak":{"default":"sans serif italic upper B"}},"key":"1D609"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital c","short":"sans serif italic cap c"},"mathspeak":{"default":"sans serif italic upper C"}},"key":"1D60A"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital d","short":"sans serif italic cap d"},"mathspeak":{"default":"sans serif italic upper D"}},"key":"1D60B"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital e","short":"sans serif italic cap e"},"mathspeak":{"default":"sans serif italic upper E"}},"key":"1D60C"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital f","short":"sans serif italic cap f"},"mathspeak":{"default":"sans serif italic upper F"}},"key":"1D60D"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital g","short":"sans serif italic cap g"},"mathspeak":{"default":"sans serif italic upper G"}},"key":"1D60E"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital h","short":"sans serif italic cap h"},"mathspeak":{"default":"sans serif italic upper H"}},"key":"1D60F"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital i","short":"sans serif italic cap i"},"mathspeak":{"default":"sans serif italic upper I"}},"key":"1D610"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital j","short":"sans serif italic cap j"},"mathspeak":{"default":"sans serif italic upper J"}},"key":"1D611"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital k","short":"sans serif italic cap k"},"mathspeak":{"default":"sans serif italic upper K"}},"key":"1D612"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital l","short":"sans serif italic cap l"},"mathspeak":{"default":"sans serif italic upper L"}},"key":"1D613"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital m","short":"sans serif italic cap m"},"mathspeak":{"default":"sans serif italic upper M"}},"key":"1D614"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital n","short":"sans serif italic cap n"},"mathspeak":{"default":"sans serif italic upper N"}},"key":"1D615"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital o","short":"sans serif italic cap o"},"mathspeak":{"default":"sans serif italic upper O"}},"key":"1D616"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital p","short":"sans serif italic cap p"},"mathspeak":{"default":"sans serif italic upper P"}},"key":"1D617"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital q","short":"sans serif italic cap q"},"mathspeak":{"default":"sans serif italic upper Q"}},"key":"1D618"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital r","short":"sans serif italic cap r"},"mathspeak":{"default":"sans serif italic upper R"}},"key":"1D619"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital s","short":"sans serif italic cap s"},"mathspeak":{"default":"sans serif italic upper S"}},"key":"1D61A"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital t","short":"sans serif italic cap t"},"mathspeak":{"default":"sans serif italic upper T"}},"key":"1D61B"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital u","short":"sans serif italic cap u"},"mathspeak":{"default":"sans serif italic upper U"}},"key":"1D61C"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital v","short":"sans serif italic cap v"},"mathspeak":{"default":"sans serif italic upper V"}},"key":"1D61D"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital w","short":"sans serif italic cap w"},"mathspeak":{"default":"sans serif italic upper W"}},"key":"1D61E"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital x","short":"sans serif italic cap x"},"mathspeak":{"default":"sans serif italic upper X"}},"key":"1D61F"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital y","short":"sans serif italic cap y"},"mathspeak":{"default":"sans serif italic upper Y"}},"key":"1D620"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital z","short":"sans serif italic cap z"},"mathspeak":{"default":"sans serif italic upper Z"}},"key":"1D621"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small a","short":"sans serif italic a"}},"key":"1D622"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small b","short":"sans serif italic b"}},"key":"1D623"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small c","short":"sans serif italic c"}},"key":"1D624"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small d","short":"sans serif italic d"}},"key":"1D625"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small e","short":"sans serif italic e"}},"key":"1D626"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small f","short":"sans serif italic f"}},"key":"1D627"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small g","short":"sans serif italic g"}},"key":"1D628"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small h","short":"sans serif italic h"}},"key":"1D629"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small i","short":"sans serif italic i"}},"key":"1D62A"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small j","short":"sans serif italic j"}},"key":"1D62B"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small k","short":"sans serif italic k"}},"key":"1D62C"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small l","short":"sans serif italic l"}},"key":"1D62D"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small m","short":"sans serif italic m"}},"key":"1D62E"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small n","short":"sans serif italic n"}},"key":"1D62F"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small o","short":"sans serif italic o"}},"key":"1D630"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small p","short":"sans serif italic p"}},"key":"1D631"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small q","short":"sans serif italic q"}},"key":"1D632"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small r","short":"sans serif italic r"}},"key":"1D633"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small s","short":"sans serif italic s"}},"key":"1D634"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small t","short":"sans serif italic t"}},"key":"1D635"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small u","short":"sans serif italic u"}},"key":"1D636"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small v","short":"sans serif italic v"}},"key":"1D637"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small w","short":"sans serif italic w"}},"key":"1D638"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small x","short":"sans serif italic x"}},"key":"1D639"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small y","short":"sans serif italic y"}},"key":"1D63A"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small z","short":"sans serif italic z"}},"key":"1D63B"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif.js
deleted file mode 100644
index f3b69ce8dc..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-sans-serif.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital a","short":"sans serif cap a"},"mathspeak":{"default":"sans serif upper A"}},"key":"1D5A0"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital b","short":"sans serif cap b"},"mathspeak":{"default":"sans serif upper B"}},"key":"1D5A1"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital c","short":"sans serif cap c"},"mathspeak":{"default":"sans serif upper C"}},"key":"1D5A2"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital d","short":"sans serif cap d"},"mathspeak":{"default":"sans serif upper D"}},"key":"1D5A3"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital e","short":"sans serif cap e"},"mathspeak":{"default":"sans serif upper E"}},"key":"1D5A4"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital f","short":"sans serif cap f"},"mathspeak":{"default":"sans serif upper F"}},"key":"1D5A5"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital g","short":"sans serif cap g"},"mathspeak":{"default":"sans serif upper G"}},"key":"1D5A6"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital h","short":"sans serif cap h"},"mathspeak":{"default":"sans serif upper H"}},"key":"1D5A7"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital i","short":"sans serif cap i"},"mathspeak":{"default":"sans serif upper I"}},"key":"1D5A8"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital j","short":"sans serif cap j"},"mathspeak":{"default":"sans serif upper J"}},"key":"1D5A9"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital k","short":"sans serif cap k"},"mathspeak":{"default":"sans serif upper K"}},"key":"1D5AA"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital l","short":"sans serif cap l"},"mathspeak":{"default":"sans serif upper L"}},"key":"1D5AB"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital m","short":"sans serif cap m"},"mathspeak":{"default":"sans serif upper M"}},"key":"1D5AC"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital n","short":"sans serif cap n"},"mathspeak":{"default":"sans serif upper N"}},"key":"1D5AD"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital o","short":"sans serif cap o"},"mathspeak":{"default":"sans serif upper O"}},"key":"1D5AE"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital p","short":"sans serif cap p"},"mathspeak":{"default":"sans serif upper P"}},"key":"1D5AF"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital q","short":"sans serif cap q"},"mathspeak":{"default":"sans serif upper Q"}},"key":"1D5B0"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital r","short":"sans serif cap r"},"mathspeak":{"default":"sans serif upper R"}},"key":"1D5B1"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital s","short":"sans serif cap s"},"mathspeak":{"default":"sans serif upper S"}},"key":"1D5B2"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital t","short":"sans serif cap t"},"mathspeak":{"default":"sans serif upper T"}},"key":"1D5B3"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital u","short":"sans serif cap u"},"mathspeak":{"default":"sans serif upper U"}},"key":"1D5B4"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital v","short":"sans serif cap v"},"mathspeak":{"default":"sans serif upper V"}},"key":"1D5B5"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital w","short":"sans serif cap w"},"mathspeak":{"default":"sans serif upper W"}},"key":"1D5B6"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital x","short":"sans serif cap x"},"mathspeak":{"default":"sans serif upper X"}},"key":"1D5B7"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital y","short":"sans serif cap y"},"mathspeak":{"default":"sans serif upper Y"}},"key":"1D5B8"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital z","short":"sans serif cap z"},"mathspeak":{"default":"sans serif upper Z"}},"key":"1D5B9"},{"category":"Ll","mappings":{"default":{"default":"sans serif small a","short":"sans serif a"}},"key":"1D5BA"},{"category":"Ll","mappings":{"default":{"default":"sans serif small b","short":"sans serif b"}},"key":"1D5BB"},{"category":"Ll","mappings":{"default":{"default":"sans serif small c","short":"sans serif c"}},"key":"1D5BC"},{"category":"Ll","mappings":{"default":{"default":"sans serif small d","short":"sans serif d"}},"key":"1D5BD"},{"category":"Ll","mappings":{"default":{"default":"sans serif small e","short":"sans serif e"}},"key":"1D5BE"},{"category":"Ll","mappings":{"default":{"default":"sans serif small f","short":"sans serif f"}},"key":"1D5BF"},{"category":"Ll","mappings":{"default":{"default":"sans serif small g","short":"sans serif g"}},"key":"1D5C0"},{"category":"Ll","mappings":{"default":{"default":"sans serif small h","short":"sans serif h"}},"key":"1D5C1"},{"category":"Ll","mappings":{"default":{"default":"sans serif small i","short":"sans serif i"}},"key":"1D5C2"},{"category":"Ll","mappings":{"default":{"default":"sans serif small j","short":"sans serif j"}},"key":"1D5C3"},{"category":"Ll","mappings":{"default":{"default":"sans serif small k","short":"sans serif k"}},"key":"1D5C4"},{"category":"Ll","mappings":{"default":{"default":"sans serif small l","short":"sans serif l"}},"key":"1D5C5"},{"category":"Ll","mappings":{"default":{"default":"sans serif small m","short":"sans serif m"}},"key":"1D5C6"},{"category":"Ll","mappings":{"default":{"default":"sans serif small n","short":"sans serif n"}},"key":"1D5C7"},{"category":"Ll","mappings":{"default":{"default":"sans serif small o","short":"sans serif o"}},"key":"1D5C8"},{"category":"Ll","mappings":{"default":{"default":"sans serif small p","short":"sans serif p"}},"key":"1D5C9"},{"category":"Ll","mappings":{"default":{"default":"sans serif small q","short":"sans serif q"}},"key":"1D5CA"},{"category":"Ll","mappings":{"default":{"default":"sans serif small r","short":"sans serif r"}},"key":"1D5CB"},{"category":"Ll","mappings":{"default":{"default":"sans serif small s","short":"sans serif s"}},"key":"1D5CC"},{"category":"Ll","mappings":{"default":{"default":"sans serif small t","short":"sans serif t"}},"key":"1D5CD"},{"category":"Ll","mappings":{"default":{"default":"sans serif small u","short":"sans serif u"}},"key":"1D5CE"},{"category":"Ll","mappings":{"default":{"default":"sans serif small v","short":"sans serif v"}},"key":"1D5CF"},{"category":"Ll","mappings":{"default":{"default":"sans serif small w","short":"sans serif w"}},"key":"1D5D0"},{"category":"Ll","mappings":{"default":{"default":"sans serif small x","short":"sans serif x"}},"key":"1D5D1"},{"category":"Ll","mappings":{"default":{"default":"sans serif small y","short":"sans serif y"}},"key":"1D5D2"},{"category":"Ll","mappings":{"default":{"default":"sans serif small z","short":"sans serif z"}},"key":"1D5D3"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-script.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-script.js
deleted file mode 100644
index 277aae7aaa..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-mathfonts-script.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"script capital a","short":"script cap a"},"mathspeak":{"default":"script upper A"}},"key":"1D49C"},{"category":"Lu","mappings":{"default":{"default":"script capital b","short":"script cap b"},"mathspeak":{"default":"script upper B"}},"key":"212C"},{"category":"Lu","mappings":{"default":{"default":"script capital c","short":"script cap c"},"mathspeak":{"default":"script upper C"}},"key":"1D49E"},{"category":"Lu","mappings":{"default":{"default":"script capital d","short":"script cap d"},"mathspeak":{"default":"script upper D"}},"key":"1D49F"},{"category":"Lu","mappings":{"default":{"default":"script capital e","short":"script cap e"},"mathspeak":{"default":"script upper E"}},"key":"2130"},{"category":"Lu","mappings":{"default":{"default":"script capital f","short":"script cap f"},"mathspeak":{"default":"script upper F"}},"key":"2131"},{"category":"Lu","mappings":{"default":{"default":"script capital g","short":"script cap g"},"mathspeak":{"default":"script upper G"}},"key":"1D4A2"},{"category":"Lu","mappings":{"default":{"default":"script capital h","short":"script cap h"},"mathspeak":{"default":"script upper H"}},"key":"210B"},{"category":"Lu","mappings":{"default":{"default":"script capital i","short":"script cap i"},"mathspeak":{"default":"script upper I"}},"key":"2110"},{"category":"Lu","mappings":{"default":{"default":"script capital j","short":"script cap j"},"mathspeak":{"default":"script upper J"}},"key":"1D4A5"},{"category":"Lu","mappings":{"default":{"default":"script capital k","short":"script cap k"},"mathspeak":{"default":"script upper K"}},"key":"1D4A6"},{"category":"Lu","mappings":{"default":{"default":"script capital l","short":"script cap l"},"mathspeak":{"default":"script upper L"}},"key":"2112"},{"category":"Lu","mappings":{"default":{"default":"script capital m","short":"script cap m"},"mathspeak":{"default":"script upper M"}},"key":"2133"},{"category":"Lu","mappings":{"default":{"default":"script capital n","short":"script cap n"},"mathspeak":{"default":"script upper N"}},"key":"1D4A9"},{"category":"Lu","mappings":{"default":{"default":"script capital o","short":"script cap o"},"mathspeak":{"default":"script upper O"}},"key":"1D4AA"},{"category":"Lu","mappings":{"default":{"default":"script capital p","short":"script cap p"},"mathspeak":{"default":"script upper P"}},"key":"1D4AB"},{"category":"Lu","mappings":{"default":{"default":"script capital q","short":"script cap q"},"mathspeak":{"default":"script upper Q"}},"key":"1D4AC"},{"category":"Lu","mappings":{"default":{"default":"script capital r","short":"script cap r"},"mathspeak":{"default":"script upper R"}},"key":"211B"},{"category":"Lu","mappings":{"default":{"default":"script capital s","short":"script cap s"},"mathspeak":{"default":"script upper S"}},"key":"1D4AE"},{"category":"Lu","mappings":{"default":{"default":"script capital t","short":"script cap t"},"mathspeak":{"default":"script upper T"}},"key":"1D4AF"},{"category":"Lu","mappings":{"default":{"default":"script capital u","short":"script cap u"},"mathspeak":{"default":"script upper U"}},"key":"1D4B0"},{"category":"Lu","mappings":{"default":{"default":"script capital v","short":"script cap v"},"mathspeak":{"default":"script upper V"}},"key":"1D4B1"},{"category":"Lu","mappings":{"default":{"default":"script capital w","short":"script cap w"},"mathspeak":{"default":"script upper W"}},"key":"1D4B2"},{"category":"Lu","mappings":{"default":{"default":"script capital x","short":"script cap x"},"mathspeak":{"default":"script upper X"}},"key":"1D4B3"},{"category":"Lu","mappings":{"default":{"default":"script capital y","short":"script cap y"},"mathspeak":{"default":"script upper Y"}},"key":"1D4B4"},{"category":"Lu","mappings":{"default":{"default":"script capital z","short":"script cap z"},"mathspeak":{"default":"script upper Z"}},"key":"1D4B5"},{"category":"Ll","mappings":{"default":{"default":"script small a","short":"script a"}},"key":"1D4B6"},{"category":"Ll","mappings":{"default":{"default":"script small b","short":"script b"}},"key":"1D4B7"},{"category":"Ll","mappings":{"default":{"default":"script small c","short":"script c"}},"key":"1D4B8"},{"category":"Ll","mappings":{"default":{"default":"script small d","short":"script d"}},"key":"1D4B9"},{"category":"Ll","mappings":{"default":{"default":"script small e","short":"script e"}},"key":"212F"},{"category":"Ll","mappings":{"default":{"default":"script small f","short":"script f"}},"key":"1D4BB"},{"category":"Ll","mappings":{"default":{"default":"script small g","short":"script g"}},"key":"210A"},{"category":"Ll","mappings":{"default":{"default":"script small h","short":"script h"}},"key":"1D4BD"},{"category":"Ll","mappings":{"default":{"default":"script small i","short":"script i"}},"key":"1D4BE"},{"category":"Ll","mappings":{"default":{"default":"script small j","short":"script j"}},"key":"1D4BF"},{"category":"Ll","mappings":{"default":{"default":"script small k","short":"script k"}},"key":"1D4C0"},{"category":"Ll","mappings":{"default":{"default":"script small l","short":"script l"}},"key":"1D4C1"},{"category":"Ll","mappings":{"default":{"default":"script small m","short":"script m"}},"key":"1D4C2"},{"category":"Ll","mappings":{"default":{"default":"script small n","short":"script n"}},"key":"1D4C3"},{"category":"Ll","mappings":{"default":{"default":"script small o","short":"script o"}},"key":"2134"},{"category":"Ll","mappings":{"default":{"default":"script small p","short":"script p"}},"key":"1D4C5"},{"category":"Ll","mappings":{"default":{"default":"script small q","short":"script q"}},"key":"1D4C6"},{"category":"Ll","mappings":{"default":{"default":"script small r","short":"script r"}},"key":"1D4C7"},{"category":"Ll","mappings":{"default":{"default":"script small s","short":"script s"}},"key":"1D4C8"},{"category":"Ll","mappings":{"default":{"default":"script small t","short":"script t"}},"key":"1D4C9"},{"category":"Ll","mappings":{"default":{"default":"script small u","short":"script u"}},"key":"1D4CA"},{"category":"Ll","mappings":{"default":{"default":"script small v","short":"script v"}},"key":"1D4CB"},{"category":"Ll","mappings":{"default":{"default":"script small w","short":"script w"}},"key":"1D4CC"},{"category":"Ll","mappings":{"default":{"default":"script small x","short":"script x"}},"key":"1D4CD"},{"category":"Ll","mappings":{"default":{"default":"script small y","short":"script y"}},"key":"1D4CE"},{"category":"Ll","mappings":{"default":{"default":"script small z","short":"script z"}},"key":"1D4CF"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-rest.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-rest.js
deleted file mode 100644
index a1f47f6a2c..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-rest.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Mn","key":"0363","mappings":{"default":{"default":"combining latin small letter a","short":"combining a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"combining latin small letter e","short":"combining e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"combining latin small letter i","short":"combining i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"combining latin small letter o","short":"combining o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"combining latin small letter u","short":"combining u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"combining latin small letter c","short":"combining c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"combining latin small letter d","short":"combining d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"combining latin small letter h","short":"combining h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"combining latin small letter m","short":"combining m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"combining latin small letter r","short":"combining r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"combining latin small letter t","short":"combining t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"combining latin small letter v","short":"combining v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"combining latin small letter x","short":"combining x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"latin subscript small letter i","short":"subscript i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"latin subscript small letter r","short":"subscript r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"latin subscript small letter u","short":"subscript u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"latin subscript small letter v","short":"subscript v"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"combining latin small letter r below","short":"combining r below"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"combining latin small letter flattened open a above","short":"combining flattened open a above"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"combining latin small letter ae","short":"combining ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"combining latin small letter ao","short":"combining ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"combining latin small letter av","short":"combining av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"combining latin small letter c cedilla","short":"combining c cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"combining latin small letter insular d","short":"combining insular d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"combining latin small letter eth","short":"combining eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"combining latin small letter g","short":"combining g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"combining latin letter small capital g","short":"combining small cap g"},"mathspeak":{"default":"combining small upper G"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"combining latin small letter k","short":"combining k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"combining latin small letter l","short":"combining l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"combining latin letter small capital l","short":"combining small cap l"},"mathspeak":{"default":"combining small upper L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"combining latin letter small capital m","short":"combining small cap m"},"mathspeak":{"default":"combining small upper M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"combining latin small letter n","short":"combining n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"combining latin letter small capital n","short":"combining small cap n"},"mathspeak":{"default":"combining small upper N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"combining latin letter small capital r","short":"combining small cap r"},"mathspeak":{"default":"combining small upper R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"combining latin small letter r rotunda","short":"combining r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"combining latin small letter s","short":"combining s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"combining latin small letter long s","short":"combining long s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"combining latin small letter z","short":"combining z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"superscript latin small letter i","short":"superscript i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"superscript latin small letter n","short":"superscript n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"latin subscript small letter a","short":"subscript a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"latin subscript small letter e","short":"subscript e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"latin subscript small letter o","short":"subscript o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"latin subscript small letter x","short":"subscript x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"latin subscript small letter schwa","short":"subscript schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"latin subscript small letter h","short":"subscript h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"latin subscript small letter k","short":"subscript k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"latin subscript small letter l","short":"subscript l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"latin subscript small letter m","short":"subscript m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"latin subscript small letter n","short":"subscript n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"latin subscript small letter p","short":"subscript p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"latin subscript small letter s","short":"subscript s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"latin subscript small letter t","short":"subscript t"}}},{"category":"So","key":"249C","mappings":{"default":{"default":"parenthesized latin small letter a","short":"parenthesized a"}}},{"category":"So","key":"249D","mappings":{"default":{"default":"parenthesized latin small letter b","short":"parenthesized b"}}},{"category":"So","key":"249E","mappings":{"default":{"default":"parenthesized latin small letter c","short":"parenthesized c"}}},{"category":"So","key":"249F","mappings":{"default":{"default":"parenthesized latin small letter d","short":"parenthesized d"}}},{"category":"So","key":"24A0","mappings":{"default":{"default":"parenthesized latin small letter e","short":"parenthesized e"}}},{"category":"So","key":"24A1","mappings":{"default":{"default":"parenthesized latin small letter f","short":"parenthesized f"}}},{"category":"So","key":"24A2","mappings":{"default":{"default":"parenthesized latin small letter g","short":"parenthesized g"}}},{"category":"So","key":"24A3","mappings":{"default":{"default":"parenthesized latin small letter h","short":"parenthesized h"}}},{"category":"So","key":"24A4","mappings":{"default":{"default":"parenthesized latin small letter i","short":"parenthesized i"}}},{"category":"So","key":"24A5","mappings":{"default":{"default":"parenthesized latin small letter j","short":"parenthesized j"}}},{"category":"So","key":"24A6","mappings":{"default":{"default":"parenthesized latin small letter k","short":"parenthesized k"}}},{"category":"So","key":"24A7","mappings":{"default":{"default":"parenthesized latin small letter l","short":"parenthesized l"}}},{"category":"So","key":"24A8","mappings":{"default":{"default":"parenthesized latin small letter m","short":"parenthesized m"}}},{"category":"So","key":"24A9","mappings":{"default":{"default":"parenthesized latin small letter n","short":"parenthesized n"}}},{"category":"So","key":"24AA","mappings":{"default":{"default":"parenthesized latin small letter o","short":"parenthesized o"}}},{"category":"So","key":"24AB","mappings":{"default":{"default":"parenthesized latin small letter p","short":"parenthesized p"}}},{"category":"So","key":"24AC","mappings":{"default":{"default":"parenthesized latin small letter q","short":"parenthesized q"}}},{"category":"So","key":"24AD","mappings":{"default":{"default":"parenthesized latin small letter r","short":"parenthesized r"}}},{"category":"So","key":"24AE","mappings":{"default":{"default":"parenthesized latin small letter s","short":"parenthesized s"}}},{"category":"So","key":"24AF","mappings":{"default":{"default":"parenthesized latin small letter t","short":"parenthesized t"}}},{"category":"So","key":"24B0","mappings":{"default":{"default":"parenthesized latin small letter u","short":"parenthesized u"}}},{"category":"So","key":"24B1","mappings":{"default":{"default":"parenthesized latin small letter v","short":"parenthesized v"}}},{"category":"So","key":"24B2","mappings":{"default":{"default":"parenthesized latin small letter w","short":"parenthesized w"}}},{"category":"So","key":"24B3","mappings":{"default":{"default":"parenthesized latin small letter x","short":"parenthesized x"}}},{"category":"So","key":"24B4","mappings":{"default":{"default":"parenthesized latin small letter y","short":"parenthesized y"}}},{"category":"So","key":"24B5","mappings":{"default":{"default":"parenthesized latin small letter z","short":"parenthesized z"}}},{"category":"So","key":"24B6","mappings":{"default":{"default":"circled latin capital letter a","short":"circled cap a"},"mathspeak":{"default":"circled upper A"}}},{"category":"So","key":"24B7","mappings":{"default":{"default":"circled latin capital letter b","short":"circled cap b"},"mathspeak":{"default":"circled upper B"}}},{"category":"So","key":"24B8","mappings":{"default":{"default":"circled latin capital letter c","short":"circled cap c"},"mathspeak":{"default":"circled upper C"}}},{"category":"So","key":"24B9","mappings":{"default":{"default":"circled latin capital letter d","short":"circled cap d"},"mathspeak":{"default":"circled upper D"}}},{"category":"So","key":"24BA","mappings":{"default":{"default":"circled latin capital letter e","short":"circled cap e"},"mathspeak":{"default":"circled upper E"}}},{"category":"So","key":"24BB","mappings":{"default":{"default":"circled latin capital letter f","short":"circled cap f"},"mathspeak":{"default":"circled upper F"}}},{"category":"So","key":"24BC","mappings":{"default":{"default":"circled latin capital letter g","short":"circled cap g"},"mathspeak":{"default":"circled upper G"}}},{"category":"So","key":"24BD","mappings":{"default":{"default":"circled latin capital letter h","short":"circled cap h"},"mathspeak":{"default":"circled upper H"}}},{"category":"So","key":"24BE","mappings":{"default":{"default":"circled latin capital letter i","short":"circled cap i"},"mathspeak":{"default":"circled upper I"}}},{"category":"So","key":"24BF","mappings":{"default":{"default":"circled latin capital letter j","short":"circled cap j"},"mathspeak":{"default":"circled upper J"}}},{"category":"So","key":"24C0","mappings":{"default":{"default":"circled latin capital letter k","short":"circled cap k"},"mathspeak":{"default":"circled upper K"}}},{"category":"So","key":"24C1","mappings":{"default":{"default":"circled latin capital letter l","short":"circled cap l"},"mathspeak":{"default":"circled upper L"}}},{"category":"So","key":"24C2","mappings":{"default":{"default":"circled latin capital letter m","short":"circled cap m"},"mathspeak":{"default":"circled upper M"}}},{"category":"So","key":"24C3","mappings":{"default":{"default":"circled latin capital letter n","short":"circled cap n"},"mathspeak":{"default":"circled upper N"}}},{"category":"So","key":"24C4","mappings":{"default":{"default":"circled latin capital letter o","short":"circled cap o"},"mathspeak":{"default":"circled upper O"}}},{"category":"So","key":"24C5","mappings":{"default":{"default":"circled latin capital letter p","short":"circled cap p"},"mathspeak":{"default":"circled upper P"}}},{"category":"So","key":"24C6","mappings":{"default":{"default":"circled latin capital letter q","short":"circled cap q"},"mathspeak":{"default":"circled upper Q"}}},{"category":"So","key":"24C7","mappings":{"default":{"default":"circled latin capital letter r","short":"circled cap r"},"mathspeak":{"default":"circled upper R"}}},{"category":"So","key":"24C8","mappings":{"default":{"default":"circled latin capital letter s","short":"circled cap s"},"mathspeak":{"default":"circled upper S"}}},{"category":"So","key":"24C9","mappings":{"default":{"default":"circled latin capital letter t","short":"circled cap t"},"mathspeak":{"default":"circled upper T"}}},{"category":"So","key":"24CA","mappings":{"default":{"default":"circled latin capital letter u","short":"circled cap u"},"mathspeak":{"default":"circled upper U"}}},{"category":"So","key":"24CB","mappings":{"default":{"default":"circled latin capital letter v","short":"circled cap v"},"mathspeak":{"default":"circled upper V"}}},{"category":"So","key":"24CC","mappings":{"default":{"default":"circled latin capital letter w","short":"circled cap w"},"mathspeak":{"default":"circled upper W"}}},{"category":"So","key":"24CD","mappings":{"default":{"default":"circled latin capital letter x","short":"circled cap x"},"mathspeak":{"default":"circled upper X"}}},{"category":"So","key":"24CE","mappings":{"default":{"default":"circled latin capital letter y","short":"circled cap y"},"mathspeak":{"default":"circled upper Y"}}},{"category":"So","key":"24CF","mappings":{"default":{"default":"circled latin capital letter z","short":"circled cap z"},"mathspeak":{"default":"circled upper Z"}}},{"category":"So","key":"24D0","mappings":{"default":{"default":"circled latin small letter a","short":"circled a"}}},{"category":"So","key":"24D1","mappings":{"default":{"default":"circled latin small letter b","short":"circled b"}}},{"category":"So","key":"24D2","mappings":{"default":{"default":"circled latin small letter c","short":"circled c"}}},{"category":"So","key":"24D3","mappings":{"default":{"default":"circled latin small letter d","short":"circled d"}}},{"category":"So","key":"24D4","mappings":{"default":{"default":"circled latin small letter e","short":"circled e"}}},{"category":"So","key":"24D5","mappings":{"default":{"default":"circled latin small letter f","short":"circled f"}}},{"category":"So","key":"24D6","mappings":{"default":{"default":"circled latin small letter g","short":"circled g"}}},{"category":"So","key":"24D7","mappings":{"default":{"default":"circled latin small letter h","short":"circled h"}}},{"category":"So","key":"24D8","mappings":{"default":{"default":"circled latin small letter i","short":"circled i"}}},{"category":"So","key":"24D9","mappings":{"default":{"default":"circled latin small letter j","short":"circled j"}}},{"category":"So","key":"24DA","mappings":{"default":{"default":"circled latin small letter k","short":"circled k"}}},{"category":"So","key":"24DB","mappings":{"default":{"default":"circled latin small letter l","short":"circled l"}}},{"category":"So","key":"24DC","mappings":{"default":{"default":"circled latin small letter m","short":"circled m"}}},{"category":"So","key":"24DD","mappings":{"default":{"default":"circled latin small letter n","short":"circled n"}}},{"category":"So","key":"24DE","mappings":{"default":{"default":"circled latin small letter o","short":"circled o"}}},{"category":"So","key":"24DF","mappings":{"default":{"default":"circled latin small letter p","short":"circled p"}}},{"category":"So","key":"24E0","mappings":{"default":{"default":"circled latin small letter q","short":"circled q"}}},{"category":"So","key":"24E1","mappings":{"default":{"default":"circled latin small letter r","short":"circled r"}}},{"category":"So","key":"24E2","mappings":{"default":{"default":"circled latin small letter s","short":"circled s"}}},{"category":"So","key":"24E3","mappings":{"default":{"default":"circled latin small letter t","short":"circled t"}}},{"category":"So","key":"24E4","mappings":{"default":{"default":"circled latin small letter u","short":"circled u"}}},{"category":"So","key":"24E5","mappings":{"default":{"default":"circled latin small letter v","short":"circled v"}}},{"category":"So","key":"24E6","mappings":{"default":{"default":"circled latin small letter w","short":"circled w"}}},{"category":"So","key":"24E7","mappings":{"default":{"default":"circled latin small letter x","short":"circled x"}}},{"category":"So","key":"24E8","mappings":{"default":{"default":"circled latin small letter y","short":"circled y"}}},{"category":"So","key":"24E9","mappings":{"default":{"default":"circled latin small letter z","short":"circled z"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"latin subscript small letter j","short":"subscript j"}}},{"category":"So","key":"1F110","mappings":{"default":{"default":"parenthesized latin capital letter a","short":"parenthesized cap a"},"mathspeak":{"default":"parenthesized upper A"}}},{"category":"So","key":"1F111","mappings":{"default":{"default":"parenthesized latin capital letter b","short":"parenthesized cap b"},"mathspeak":{"default":"parenthesized upper B"}}},{"category":"So","key":"1F112","mappings":{"default":{"default":"parenthesized latin capital letter c","short":"parenthesized cap c"},"mathspeak":{"default":"parenthesized upper C"}}},{"category":"So","key":"1F113","mappings":{"default":{"default":"parenthesized latin capital letter d","short":"parenthesized cap d"},"mathspeak":{"default":"parenthesized upper D"}}},{"category":"So","key":"1F114","mappings":{"default":{"default":"parenthesized latin capital letter e","short":"parenthesized cap e"},"mathspeak":{"default":"parenthesized upper E"}}},{"category":"So","key":"1F115","mappings":{"default":{"default":"parenthesized latin capital letter f","short":"parenthesized cap f"},"mathspeak":{"default":"parenthesized upper F"}}},{"category":"So","key":"1F116","mappings":{"default":{"default":"parenthesized latin capital letter g","short":"parenthesized cap g"},"mathspeak":{"default":"parenthesized upper G"}}},{"category":"So","key":"1F117","mappings":{"default":{"default":"parenthesized latin capital letter h","short":"parenthesized cap h"},"mathspeak":{"default":"parenthesized upper H"}}},{"category":"So","key":"1F118","mappings":{"default":{"default":"parenthesized latin capital letter i","short":"parenthesized cap i"},"mathspeak":{"default":"parenthesized upper I"}}},{"category":"So","key":"1F119","mappings":{"default":{"default":"parenthesized latin capital letter j","short":"parenthesized cap j"},"mathspeak":{"default":"parenthesized upper J"}}},{"category":"So","key":"1F11A","mappings":{"default":{"default":"parenthesized latin capital letter k","short":"parenthesized cap k"},"mathspeak":{"default":"parenthesized upper K"}}},{"category":"So","key":"1F11B","mappings":{"default":{"default":"parenthesized latin capital letter l","short":"parenthesized cap l"},"mathspeak":{"default":"parenthesized upper L"}}},{"category":"So","key":"1F11C","mappings":{"default":{"default":"parenthesized latin capital letter m","short":"parenthesized cap m"},"mathspeak":{"default":"parenthesized upper M"}}},{"category":"So","key":"1F11D","mappings":{"default":{"default":"parenthesized latin capital letter n","short":"parenthesized cap n"},"mathspeak":{"default":"parenthesized upper N"}}},{"category":"So","key":"1F11E","mappings":{"default":{"default":"parenthesized latin capital letter o","short":"parenthesized cap o"},"mathspeak":{"default":"parenthesized upper O"}}},{"category":"So","key":"1F11F","mappings":{"default":{"default":"parenthesized latin capital letter p","short":"parenthesized cap p"},"mathspeak":{"default":"parenthesized upper P"}}},{"category":"So","key":"1F120","mappings":{"default":{"default":"parenthesized latin capital letter q","short":"parenthesized cap q"},"mathspeak":{"default":"parenthesized upper Q"}}},{"category":"So","key":"1F121","mappings":{"default":{"default":"parenthesized latin capital letter r","short":"parenthesized cap r"},"mathspeak":{"default":"parenthesized upper R"}}},{"category":"So","key":"1F122","mappings":{"default":{"default":"parenthesized latin capital letter s","short":"parenthesized cap s"},"mathspeak":{"default":"parenthesized upper S"}}},{"category":"So","key":"1F123","mappings":{"default":{"default":"parenthesized latin capital letter t","short":"parenthesized cap t"},"mathspeak":{"default":"parenthesized upper T"}}},{"category":"So","key":"1F124","mappings":{"default":{"default":"parenthesized latin capital letter u","short":"parenthesized cap u"},"mathspeak":{"default":"parenthesized upper U"}}},{"category":"So","key":"1F125","mappings":{"default":{"default":"parenthesized latin capital letter v","short":"parenthesized cap v"},"mathspeak":{"default":"parenthesized upper V"}}},{"category":"So","key":"1F126","mappings":{"default":{"default":"parenthesized latin capital letter w","short":"parenthesized cap w"},"mathspeak":{"default":"parenthesized upper W"}}},{"category":"So","key":"1F127","mappings":{"default":{"default":"parenthesized latin capital letter x","short":"parenthesized cap x"},"mathspeak":{"default":"parenthesized upper X"}}},{"category":"So","key":"1F128","mappings":{"default":{"default":"parenthesized latin capital letter y","short":"parenthesized cap y"},"mathspeak":{"default":"parenthesized upper Y"}}},{"category":"So","key":"1F129","mappings":{"default":{"default":"parenthesized latin capital letter z","short":"parenthesized cap z"},"mathspeak":{"default":"parenthesized upper Z"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"tortoise shell bracketed latin capital letter s","short":"tortoise shell bracketed cap s"},"mathspeak":{"default":"tortoise shell bracketed upper S"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"circled italic latin capital letter c","short":"circled italic cap c"},"mathspeak":{"default":"circled italic upper C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"circled italic latin capital letter r","short":"circled italic cap r"},"mathspeak":{"default":"circled italic upper R"}}},{"category":"So","key":"1F130","mappings":{"default":{"default":"squared latin capital letter a","short":"squared cap a"},"mathspeak":{"default":"squared upper A"}}},{"category":"So","key":"1F131","mappings":{"default":{"default":"squared latin capital letter b","short":"squared cap b"},"mathspeak":{"default":"squared upper B"}}},{"category":"So","key":"1F132","mappings":{"default":{"default":"squared latin capital letter c","short":"squared cap c"},"mathspeak":{"default":"squared upper C"}}},{"category":"So","key":"1F133","mappings":{"default":{"default":"squared latin capital letter d","short":"squared cap d"},"mathspeak":{"default":"squared upper D"}}},{"category":"So","key":"1F134","mappings":{"default":{"default":"squared latin capital letter e","short":"squared cap e"},"mathspeak":{"default":"squared upper E"}}},{"category":"So","key":"1F135","mappings":{"default":{"default":"squared latin capital letter f","short":"squared cap f"},"mathspeak":{"default":"squared upper F"}}},{"category":"So","key":"1F136","mappings":{"default":{"default":"squared latin capital letter g","short":"squared cap g"},"mathspeak":{"default":"squared upper G"}}},{"category":"So","key":"1F137","mappings":{"default":{"default":"squared latin capital letter h","short":"squared cap h"},"mathspeak":{"default":"squared upper H"}}},{"category":"So","key":"1F138","mappings":{"default":{"default":"squared latin capital letter i","short":"squared cap i"},"mathspeak":{"default":"squared upper I"}}},{"category":"So","key":"1F139","mappings":{"default":{"default":"squared latin capital letter j","short":"squared cap j"},"mathspeak":{"default":"squared upper J"}}},{"category":"So","key":"1F13A","mappings":{"default":{"default":"squared latin capital letter k","short":"squared cap k"},"mathspeak":{"default":"squared upper K"}}},{"category":"So","key":"1F13B","mappings":{"default":{"default":"squared latin capital letter l","short":"squared cap l"},"mathspeak":{"default":"squared upper L"}}},{"category":"So","key":"1F13C","mappings":{"default":{"default":"squared latin capital letter m","short":"squared cap m"},"mathspeak":{"default":"squared upper M"}}},{"category":"So","key":"1F13D","mappings":{"default":{"default":"squared latin capital letter n","short":"squared cap n"},"mathspeak":{"default":"squared upper N"}}},{"category":"So","key":"1F13E","mappings":{"default":{"default":"squared latin capital letter o","short":"squared cap o"},"mathspeak":{"default":"squared upper O"}}},{"category":"So","key":"1F13F","mappings":{"default":{"default":"squared latin capital letter p","short":"squared cap p"},"mathspeak":{"default":"squared upper P"}}},{"category":"So","key":"1F140","mappings":{"default":{"default":"squared latin capital letter q","short":"squared cap q"},"mathspeak":{"default":"squared upper Q"}}},{"category":"So","key":"1F141","mappings":{"default":{"default":"squared latin capital letter r","short":"squared cap r"},"mathspeak":{"default":"squared upper R"}}},{"category":"So","key":"1F142","mappings":{"default":{"default":"squared latin capital letter s","short":"squared cap s"},"mathspeak":{"default":"squared upper S"}}},{"category":"So","key":"1F143","mappings":{"default":{"default":"squared latin capital letter t","short":"squared cap t"},"mathspeak":{"default":"squared upper T"}}},{"category":"So","key":"1F144","mappings":{"default":{"default":"squared latin capital letter u","short":"squared cap u"},"mathspeak":{"default":"squared upper U"}}},{"category":"So","key":"1F145","mappings":{"default":{"default":"squared latin capital letter v","short":"squared cap v"},"mathspeak":{"default":"squared upper V"}}},{"category":"So","key":"1F146","mappings":{"default":{"default":"squared latin capital letter w","short":"squared cap w"},"mathspeak":{"default":"squared upper W"}}},{"category":"So","key":"1F147","mappings":{"default":{"default":"squared latin capital letter x","short":"squared cap x"},"mathspeak":{"default":"squared upper X"}}},{"category":"So","key":"1F148","mappings":{"default":{"default":"squared latin capital letter y","short":"squared cap y"},"mathspeak":{"default":"squared upper Y"}}},{"category":"So","key":"1F149","mappings":{"default":{"default":"squared latin capital letter z","short":"squared cap z"},"mathspeak":{"default":"squared upper Z"}}},{"category":"So","key":"1F150","mappings":{"default":{"default":"negative circled latin capital letter a","short":"negative circled cap a"},"mathspeak":{"default":"negative circled upper A"}}},{"category":"So","key":"1F151","mappings":{"default":{"default":"negative circled latin capital letter b","short":"negative circled cap b"},"mathspeak":{"default":"negative circled upper B"}}},{"category":"So","key":"1F152","mappings":{"default":{"default":"negative circled latin capital letter c","short":"negative circled cap c"},"mathspeak":{"default":"negative circled upper C"}}},{"category":"So","key":"1F153","mappings":{"default":{"default":"negative circled latin capital letter d","short":"negative circled cap d"},"mathspeak":{"default":"negative circled upper D"}}},{"category":"So","key":"1F154","mappings":{"default":{"default":"negative circled latin capital letter e","short":"negative circled cap e"},"mathspeak":{"default":"negative circled upper E"}}},{"category":"So","key":"1F155","mappings":{"default":{"default":"negative circled latin capital letter f","short":"negative circled cap f"},"mathspeak":{"default":"negative circled upper F"}}},{"category":"So","key":"1F156","mappings":{"default":{"default":"negative circled latin capital letter g","short":"negative circled cap g"},"mathspeak":{"default":"negative circled upper G"}}},{"category":"So","key":"1F157","mappings":{"default":{"default":"negative circled latin capital letter h","short":"negative circled cap h"},"mathspeak":{"default":"negative circled upper H"}}},{"category":"So","key":"1F158","mappings":{"default":{"default":"negative circled latin capital letter i","short":"negative circled cap i"},"mathspeak":{"default":"negative circled upper I"}}},{"category":"So","key":"1F159","mappings":{"default":{"default":"negative circled latin capital letter j","short":"negative circled cap j"},"mathspeak":{"default":"negative circled upper J"}}},{"category":"So","key":"1F15A","mappings":{"default":{"default":"negative circled latin capital letter k","short":"negative circled cap k"},"mathspeak":{"default":"negative circled upper K"}}},{"category":"So","key":"1F15B","mappings":{"default":{"default":"negative circled latin capital letter l","short":"negative circled cap l"},"mathspeak":{"default":"negative circled upper L"}}},{"category":"So","key":"1F15C","mappings":{"default":{"default":"negative circled latin capital letter m","short":"negative circled cap m"},"mathspeak":{"default":"negative circled upper M"}}},{"category":"So","key":"1F15D","mappings":{"default":{"default":"negative circled latin capital letter n","short":"negative circled cap n"},"mathspeak":{"default":"negative circled upper N"}}},{"category":"So","key":"1F15E","mappings":{"default":{"default":"negative circled latin capital letter o","short":"negative circled cap o"},"mathspeak":{"default":"negative circled upper O"}}},{"category":"So","key":"1F15F","mappings":{"default":{"default":"negative circled latin capital letter p","short":"negative circled cap p"},"mathspeak":{"default":"negative circled upper P"}}},{"category":"So","key":"1F160","mappings":{"default":{"default":"negative circled latin capital letter q","short":"negative circled cap q"},"mathspeak":{"default":"negative circled upper Q"}}},{"category":"So","key":"1F161","mappings":{"default":{"default":"negative circled latin capital letter r","short":"negative circled cap r"},"mathspeak":{"default":"negative circled upper R"}}},{"category":"So","key":"1F162","mappings":{"default":{"default":"negative circled latin capital letter s","short":"negative circled cap s"},"mathspeak":{"default":"negative circled upper S"}}},{"category":"So","key":"1F163","mappings":{"default":{"default":"negative circled latin capital letter t","short":"negative circled cap t"},"mathspeak":{"default":"negative circled upper T"}}},{"category":"So","key":"1F164","mappings":{"default":{"default":"negative circled latin capital letter u","short":"negative circled cap u"},"mathspeak":{"default":"negative circled upper U"}}},{"category":"So","key":"1F165","mappings":{"default":{"default":"negative circled latin capital letter v","short":"negative circled cap v"},"mathspeak":{"default":"negative circled upper V"}}},{"category":"So","key":"1F166","mappings":{"default":{"default":"negative circled latin capital letter w","short":"negative circled cap w"},"mathspeak":{"default":"negative circled upper W"}}},{"category":"So","key":"1F167","mappings":{"default":{"default":"negative circled latin capital letter x","short":"negative circled cap x"},"mathspeak":{"default":"negative circled upper X"}}},{"category":"So","key":"1F168","mappings":{"default":{"default":"negative circled latin capital letter y","short":"negative circled cap y"},"mathspeak":{"default":"negative circled upper Y"}}},{"category":"So","key":"1F169","mappings":{"default":{"default":"negative circled latin capital letter z","short":"negative circled cap z"},"mathspeak":{"default":"negative circled upper Z"}}},{"category":"So","key":"1F170","mappings":{"default":{"default":"negative squared latin capital letter a","short":"negative squared cap a"},"mathspeak":{"default":"negative squared upper A"}}},{"category":"So","key":"1F171","mappings":{"default":{"default":"negative squared latin capital letter b","short":"negative squared cap b"},"mathspeak":{"default":"negative squared upper B"}}},{"category":"So","key":"1F172","mappings":{"default":{"default":"negative squared latin capital letter c","short":"negative squared cap c"},"mathspeak":{"default":"negative squared upper C"}}},{"category":"So","key":"1F173","mappings":{"default":{"default":"negative squared latin capital letter d","short":"negative squared cap d"},"mathspeak":{"default":"negative squared upper D"}}},{"category":"So","key":"1F174","mappings":{"default":{"default":"negative squared latin capital letter e","short":"negative squared cap e"},"mathspeak":{"default":"negative squared upper E"}}},{"category":"So","key":"1F175","mappings":{"default":{"default":"negative squared latin capital letter f","short":"negative squared cap f"},"mathspeak":{"default":"negative squared upper F"}}},{"category":"So","key":"1F176","mappings":{"default":{"default":"negative squared latin capital letter g","short":"negative squared cap g"},"mathspeak":{"default":"negative squared upper G"}}},{"category":"So","key":"1F177","mappings":{"default":{"default":"negative squared latin capital letter h","short":"negative squared cap h"},"mathspeak":{"default":"negative squared upper H"}}},{"category":"So","key":"1F178","mappings":{"default":{"default":"negative squared latin capital letter i","short":"negative squared cap i"},"mathspeak":{"default":"negative squared upper I"}}},{"category":"So","key":"1F179","mappings":{"default":{"default":"negative squared latin capital letter j","short":"negative squared cap j"},"mathspeak":{"default":"negative squared upper J"}}},{"category":"So","key":"1F17A","mappings":{"default":{"default":"negative squared latin capital letter k","short":"negative squared cap k"},"mathspeak":{"default":"negative squared upper K"}}},{"category":"So","key":"1F17B","mappings":{"default":{"default":"negative squared latin capital letter l","short":"negative squared cap l"},"mathspeak":{"default":"negative squared upper L"}}},{"category":"So","key":"1F17C","mappings":{"default":{"default":"negative squared latin capital letter m","short":"negative squared cap m"},"mathspeak":{"default":"negative squared upper M"}}},{"category":"So","key":"1F17D","mappings":{"default":{"default":"negative squared latin capital letter n","short":"negative squared cap n"},"mathspeak":{"default":"negative squared upper N"}}},{"category":"So","key":"1F17E","mappings":{"default":{"default":"negative squared latin capital letter o","short":"negative squared cap o"},"mathspeak":{"default":"negative squared upper O"}}},{"category":"So","key":"1F17F","mappings":{"default":{"default":"negative squared latin capital letter p","short":"negative squared cap p"},"mathspeak":{"default":"negative squared upper P"}}},{"category":"So","key":"1F180","mappings":{"default":{"default":"negative squared latin capital letter q","short":"negative squared cap q"},"mathspeak":{"default":"negative squared upper Q"}}},{"category":"So","key":"1F181","mappings":{"default":{"default":"negative squared latin capital letter r","short":"negative squared cap r"},"mathspeak":{"default":"negative squared upper R"}}},{"category":"So","key":"1F182","mappings":{"default":{"default":"negative squared latin capital letter s","short":"negative squared cap s"},"mathspeak":{"default":"negative squared upper S"}}},{"category":"So","key":"1F183","mappings":{"default":{"default":"negative squared latin capital letter t","short":"negative squared cap t"},"mathspeak":{"default":"negative squared upper T"}}},{"category":"So","key":"1F184","mappings":{"default":{"default":"negative squared latin capital letter u","short":"negative squared cap u"},"mathspeak":{"default":"negative squared upper U"}}},{"category":"So","key":"1F185","mappings":{"default":{"default":"negative squared latin capital letter v","short":"negative squared cap v"},"mathspeak":{"default":"negative squared upper V"}}},{"category":"So","key":"1F186","mappings":{"default":{"default":"negative squared latin capital letter w","short":"negative squared cap w"},"mathspeak":{"default":"negative squared upper W"}}},{"category":"So","key":"1F187","mappings":{"default":{"default":"negative squared latin capital letter x","short":"negative squared cap x"},"mathspeak":{"default":"negative squared upper X"}}},{"category":"So","key":"1F188","mappings":{"default":{"default":"negative squared latin capital letter y","short":"negative squared cap y"},"mathspeak":{"default":"negative squared upper Y"}}},{"category":"So","key":"1F189","mappings":{"default":{"default":"negative squared latin capital letter z","short":"negative squared cap z"},"mathspeak":{"default":"negative squared upper Z"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"crossed negative squared latin capital letter p","short":"crossed negative squared cap p"},"mathspeak":{"default":"crossed negative squared upper P"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-upper-double-accent.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-upper-double-accent.js
deleted file mode 100644
index f145bd037c..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-upper-double-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"latin capital letter u with diaeresis and macron","alternative":"latin capital letter u double overdot overbar","short":"cap u double overdot overbar"},"mathspeak":{"default":"upper U double overdot overbar"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"latin capital letter u with diaeresis and acute","alternative":"latin capital letter u double overdot acute","short":"cap u double overdot acute"},"mathspeak":{"default":"upper U double overdot acute"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"latin capital letter u with diaeresis and caron","alternative":"latin capital letter u double overdot hacek","short":"cap u double overdot caron"},"mathspeak":{"default":"upper U double overdot caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"latin capital letter u with diaeresis and grave","alternative":"latin capital letter u double overdot grave","short":"cap u double overdot grave"},"mathspeak":{"default":"upper U double overdot grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"latin capital letter a with diaeresis and macron","alternative":"latin capital letter a double overdot overbar","short":"cap a double overdot overbar"},"mathspeak":{"default":"upper A double overdot overbar"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"latin capital letter a with dot above and macron","alternative":"latin capital letter a dot overbar","short":"cap a overdot overbar"},"mathspeak":{"default":"upper A overdot overbar"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"latin capital letter o with ogonek and macron","alternative":"latin capital letter o ogonek overbar","short":"cap o ogonek overbar"},"mathspeak":{"default":"upper O ogonek overbar"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"latin capital letter a with ring above and acute","alternative":"latin capital letter a ring acute","short":"cap a ring acute"},"mathspeak":{"default":"upper A ring acute"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"latin capital letter o with diaeresis and macron","alternative":"latin capital letter o double overdot overbar","short":"cap o double overdot overbar"},"mathspeak":{"default":"upper O double overdot overbar"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"latin capital letter o with tilde and macron","alternative":"latin capital letter o tilde overbar","short":"cap o tilde overbar"},"mathspeak":{"default":"upper O tilde overbar"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"latin capital letter o with dot above and macron","alternative":"latin capital letter o overdot overbar","short":"cap o overdot overbar"},"mathspeak":{"default":"upper O overdot overbar"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"latin capital letter c with cedilla and acute","alternative":"latin capital letter c cedilla acute","short":"cap c cedilla acute"},"mathspeak":{"default":"upper C cedilla acute"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"latin capital letter e with macron and grave","alternative":"latin capital letter e overbar grave","short":"cap e overbar grave"},"mathspeak":{"default":"upper E overbar grave"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"latin capital letter e with macron and acute","alternative":"latin capital letter e overbar acute","short":"cap e overbar acute"},"mathspeak":{"default":"upper E overbar acute"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"latin capital letter e with cedilla and breve","alternative":"latin capital letter e cedilla breve","short":"cap e cedilla breve"},"mathspeak":{"default":"upper E cedilla breve"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"latin capital letter i with diaeresis and acute","alternative":"latin capital letter i double overdot acute","short":"cap i double overdot acute"},"mathspeak":{"default":"upper I double overdot acute"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"latin capital letter l with dot below and macron","alternative":"latin capital letter l underdot overbar","short":"cap l underdot overbar"},"mathspeak":{"default":"upper L underdot overbar"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"latin capital letter o with tilde and acute","alternative":"latin capital letter o tilde acute","short":"cap o tilde acute"},"mathspeak":{"default":"upper O tilde acute"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"latin capital letter o with tilde and diaeresis","alternative":"latin capital letter o tilde double overdot","short":"cap o tilde double overdot"},"mathspeak":{"default":"upper O tilde double overdot"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"latin capital letter o with macron and grave","alternative":"latin capital letter o overbar grave","short":"cap o overbar grave"},"mathspeak":{"default":"upper O overbar grave"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"latin capital letter o with macron and acute","alternative":"latin capital letter o overbar acute","short":"cap o overbar acute"},"mathspeak":{"default":"upper O overbar acute"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"latin capital letter r with dot below and macron","alternative":"cap r underdot and overbar","short":"cap r overbar underdot"},"mathspeak":{"default":"upper R overbar underdot"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"latin capital letter s with acute dot above","alternative":"latin capital letter s acute overdot","short":"cap s acute overdot"},"mathspeak":{"default":"upper S acute overdot"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"latin capital letter s with caron and dot above","alternative":"latin capital letter s caron overdot","short":"cap s caron overdot"},"mathspeak":{"default":"upper S caron overdot"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"latin capital letter s with dot below and dot above","alternative":"latin capital letter s underdot overdot","short":"cap s underdot overdot"},"mathspeak":{"default":"upper S underdot overdot"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"latin capital letter u with tilde and acute","alternative":"latin capital letter u tilde acute","short":"cap u tilde acute"},"mathspeak":{"default":"upper U tilde acute"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"latin capital letter u with macron and diaeresis","alternative":"latin capital letter u overbar double overdot","short":"cap u overbar double overdot"},"mathspeak":{"default":"upper U overbar double overdot"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"latin capital letter a with circumflex and acute","alternative":"latin capital letter a hat acute","short":"cap a hat acute"},"mathspeak":{"default":"upper A hat acute"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"latin capital letter a with circumflex and grave","alternative":"latin capital letter a hat grave","short":"cap a hat grave"},"mathspeak":{"default":"upper A hat grave"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"latin capital letter a with circumflex and hook above","alternative":"latin capital letter a hat hook","short":"cap a hat hook"},"mathspeak":{"default":"upper A hat hook"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"latin capital letter a with circumflex and tilde","alternative":"latin capital letter a hat tilde","short":"cap a hat tilde"},"mathspeak":{"default":"upper A hat tilde"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"latin capital letter a with circumflex and dot below","alternative":"latin capital letter a hat underdot","short":"cap a hat underdot"},"mathspeak":{"default":"upper A hat underdot"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"latin capital letter a with breve and acute","alternative":"latin capital letter a breve acute","short":"cap a breve acute"},"mathspeak":{"default":"upper A breve acute"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"latin capital letter a with breve and grave","alternative":"latin capital letter a breve grave","short":"cap a breve grave"},"mathspeak":{"default":"upper A breve grave"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"latin capital letter a with breve and hook above","alternative":"latin capital letter a breve hook","short":"cap a breve hook"},"mathspeak":{"default":"upper A breve hook"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"latin capital letter a with breve and tilde","alternative":"latin capital letter a breve tilde","short":"cap a breve tilde"},"mathspeak":{"default":"upper A breve tilde"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"latin capital letter a with breve and dot below","alternative":"latin capital letter a breve underdot","short":"cap a breve underdot"},"mathspeak":{"default":"upper A breve underdot"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"latin capital letter e with circumflex and acute","alternative":"latin capital letter e hat acute","short":"cap e hat acute"},"mathspeak":{"default":"upper E hat acute"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"latin capital letter e with circumflex and grave","alternative":"latin capital letter e hat grave","short":"cap e hat grave"},"mathspeak":{"default":"upper E hat grave"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"latin capital letter e with circumflex and hook above","alternative":"latin capital letter e hat hook","short":"cap e hat hook"},"mathspeak":{"default":"upper E hat hook"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"latin capital letter e with circumflex and tilde","alternative":"latin capital letter e hat tilde","short":"cap e hat tilde"},"mathspeak":{"default":"upper E hat tilde"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"latin capital letter e with circumflex and dot below","alternative":"latin capital letter e hat underdot","short":"cap e hat underdot"},"mathspeak":{"default":"upper E hat underdot"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"latin capital letter o with circumflex and acute","alternative":"latin capital letter o hat acute","short":"cap o hat acute"},"mathspeak":{"default":"upper O hat acute"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"latin capital letter o with circumflex and grave","alternative":"latin capital letter o hat grave","short":"cap o hat grave"},"mathspeak":{"default":"upper O hat grave"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"latin capital letter o with circumflex and hook above","alternative":"latin capital letter o hat hook","short":"cap o hat hook"},"mathspeak":{"default":"upper O hat hook"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"latin capital letter o with circumflex and tilde","alternative":"latin capital letter o hat tilde","short":"cap o hat tilde"},"mathspeak":{"default":"upper O hat tilde"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"latin capital letter o with circumflex and dot below","alternative":"latin capital letter o hat underdot","short":"cap o hat underdot"},"mathspeak":{"default":"upper O hat underdot"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"latin capital letter o with horn and acute","alternative":"latin capital letter o acute prime","short":"cap o acute prime"},"mathspeak":{"default":"upper O acute prime"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"latin capital letter o with horn and grave","alternative":"latin capital letter o grave prime","short":"cap o grave prime"},"mathspeak":{"default":"upper O grave prime"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"latin capital letter o with horn and hook above","alternative":"latin capital letter o hook prime","short":"cap o hook prime"},"mathspeak":{"default":"upper O hook prime"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"latin capital letter o with horn and tilde","alternative":"latin capital letter o tilde prime","short":"cap o tilde prime"},"mathspeak":{"default":"upper O tilde prime"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"latin capital letter o with horn and dot below","alternative":"latin capital letter o underdot prime","short":"cap o underdot prime"},"mathspeak":{"default":"upper O underdot prime"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"latin capital letter u with horn and acute","alternative":"latin capital letter u acute prime","short":"cap u acute prime"},"mathspeak":{"default":"upper U acute prime"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"latin capital letter u with horn and grave","alternative":"latin capital letter u grave prime","short":"cap u grave prime"},"mathspeak":{"default":"upper U grave prime"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"latin capital letter u with horn and hook above","alternative":"latin capital letter u hook prime","short":"cap u hook prime"},"mathspeak":{"default":"upper U hook prime"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"latin capital letter u with horn and tilde","alternative":"latin capital letter u tilde prime","short":"cap u tilde prime"},"mathspeak":{"default":"upper U tilde prime"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"latin capital letter u with horn and dot below","alternative":"latin capital letter u underdot prime","short":"cap u underdot prime"},"mathspeak":{"default":"upper U underdot prime"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-upper-normal.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-upper-normal.js
deleted file mode 100644
index d628a6addf..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-upper-normal.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","key":"0041","mappings":{"default":{"default":"latin capital letter a","short":"cap a"},"mathspeak":{"default":"upper A"}}},{"category":"Lu","key":"0042","mappings":{"default":{"default":"latin capital letter b","short":"cap b"},"mathspeak":{"default":"upper B"}}},{"category":"Lu","key":"0043","mappings":{"default":{"default":"latin capital letter c","short":"cap c"},"mathspeak":{"default":"upper C"}}},{"category":"Lu","key":"0044","mappings":{"default":{"default":"latin capital letter d","short":"cap d"},"mathspeak":{"default":"upper D"}}},{"category":"Lu","key":"0045","mappings":{"default":{"default":"latin capital letter e","short":"cap e"},"mathspeak":{"default":"upper E"}}},{"category":"Lu","key":"0046","mappings":{"default":{"default":"latin capital letter f","short":"cap f"},"mathspeak":{"default":"upper F"}}},{"category":"Lu","key":"0047","mappings":{"default":{"default":"latin capital letter g","short":"cap g"},"mathspeak":{"default":"upper G"}}},{"category":"Lu","key":"0048","mappings":{"default":{"default":"latin capital letter h","short":"cap h"},"mathspeak":{"default":"upper H"}}},{"category":"Lu","key":"0049","mappings":{"default":{"default":"latin capital letter i","short":"cap i"},"mathspeak":{"default":"upper I"}}},{"category":"Lu","key":"004A","mappings":{"default":{"default":"latin capital letter j","short":"cap j"},"mathspeak":{"default":"upper J"}}},{"category":"Lu","key":"004B","mappings":{"default":{"default":"latin capital letter k","short":"cap k"},"mathspeak":{"default":"upper K"}}},{"category":"Lu","key":"004C","mappings":{"default":{"default":"latin capital letter l","short":"cap l"},"mathspeak":{"default":"upper L"}}},{"category":"Lu","key":"004D","mappings":{"default":{"default":"latin capital letter m","short":"cap m"},"mathspeak":{"default":"upper M"}}},{"category":"Lu","key":"004E","mappings":{"default":{"default":"latin capital letter n","short":"cap n"},"mathspeak":{"default":"upper N"}}},{"category":"Lu","key":"004F","mappings":{"default":{"default":"latin capital letter o","short":"cap o"},"mathspeak":{"default":"upper O"}}},{"category":"Lu","key":"0050","mappings":{"default":{"default":"latin capital letter p","short":"cap p"},"mathspeak":{"default":"upper P"}}},{"category":"Lu","key":"0051","mappings":{"default":{"default":"latin capital letter q","short":"cap q"},"mathspeak":{"default":"upper Q"}}},{"category":"Lu","key":"0052","mappings":{"default":{"default":"latin capital letter r","short":"cap r"},"mathspeak":{"default":"upper R"}}},{"category":"Lu","key":"0053","mappings":{"default":{"default":"latin capital letter s","short":"cap s"},"mathspeak":{"default":"upper S"}}},{"category":"Lu","key":"0054","mappings":{"default":{"default":"latin capital letter t","short":"cap t"},"mathspeak":{"default":"upper T"}}},{"category":"Lu","key":"0055","mappings":{"default":{"default":"latin capital letter u","short":"cap u"},"mathspeak":{"default":"upper U"}}},{"category":"Lu","key":"0056","mappings":{"default":{"default":"latin capital letter v","short":"cap v"},"mathspeak":{"default":"upper V"}}},{"category":"Lu","key":"0057","mappings":{"default":{"default":"latin capital letter w","short":"cap w"},"mathspeak":{"default":"upper W"}}},{"category":"Lu","key":"0058","mappings":{"default":{"default":"latin capital letter x","short":"cap x"},"mathspeak":{"default":"upper X"}}},{"category":"Lu","key":"0059","mappings":{"default":{"default":"latin capital letter y","short":"cap y"},"mathspeak":{"default":"upper Y"}}},{"category":"Lu","key":"005A","mappings":{"default":{"default":"latin capital letter z","short":"cap z"},"mathspeak":{"default":"upper Z"}}},{"category":"Lu","key":"FF21","mappings":{"default":{"default":"fullwidth latin capital letter a","alternative":"fullwidth latin cap a","short":"cap a"},"mathspeak":{"default":"upper A"}}},{"category":"Lu","key":"FF22","mappings":{"default":{"default":"fullwidth latin capital letter b","alternative":"fullwidth latin cap b","short":"cap b"},"mathspeak":{"default":"upper B"}}},{"category":"Lu","key":"FF23","mappings":{"default":{"default":"fullwidth latin capital letter c","alternative":"fullwidth latin cap c","short":"cap c"},"mathspeak":{"default":"upper C"}}},{"category":"Lu","key":"FF24","mappings":{"default":{"default":"fullwidth latin capital letter d","alternative":"fullwidth latin cap d","short":"cap d"},"mathspeak":{"default":"upper D"}}},{"category":"Lu","key":"FF25","mappings":{"default":{"default":"fullwidth latin capital letter e","alternative":"fullwidth latin cap e","short":"cap e"},"mathspeak":{"default":"upper E"}}},{"category":"Lu","key":"FF26","mappings":{"default":{"default":"fullwidth latin capital letter f","alternative":"fullwidth latin cap f","short":"cap f"},"mathspeak":{"default":"upper F"}}},{"category":"Lu","key":"FF27","mappings":{"default":{"default":"fullwidth latin capital letter g","alternative":"fullwidth latin cap g","short":"cap g"},"mathspeak":{"default":"upper G"}}},{"category":"Lu","key":"FF28","mappings":{"default":{"default":"fullwidth latin capital letter h","alternative":"fullwidth latin cap h","short":"cap h"},"mathspeak":{"default":"upper H"}}},{"category":"Lu","key":"FF29","mappings":{"default":{"default":"fullwidth latin capital letter i","alternative":"fullwidth latin cap i","short":"cap i"},"mathspeak":{"default":"upper I"}}},{"category":"Lu","key":"FF2A","mappings":{"default":{"default":"fullwidth latin capital letter j","alternative":"fullwidth latin cap j","short":"cap j"},"mathspeak":{"default":"upper J"}}},{"category":"Lu","key":"FF2B","mappings":{"default":{"default":"fullwidth latin capital letter k","alternative":"fullwidth latin cap k","short":"cap k"},"mathspeak":{"default":"upper K"}}},{"category":"Lu","key":"FF2C","mappings":{"default":{"default":"fullwidth latin capital letter l","alternative":"fullwidth latin cap l","short":"cap l"},"mathspeak":{"default":"upper L"}}},{"category":"Lu","key":"FF2D","mappings":{"default":{"default":"fullwidth latin capital letter m","alternative":"fullwidth latin cap m","short":"cap m"},"mathspeak":{"default":"upper M"}}},{"category":"Lu","key":"FF2E","mappings":{"default":{"default":"fullwidth latin capital letter n","alternative":"fullwidth latin cap n","short":"cap n"},"mathspeak":{"default":"upper N"}}},{"category":"Lu","key":"FF2F","mappings":{"default":{"default":"fullwidth latin capital letter o","alternative":"fullwidth latin cap o","short":"cap o"},"mathspeak":{"default":"upper O"}}},{"category":"Lu","key":"FF30","mappings":{"default":{"default":"fullwidth latin capital letter p","alternative":"fullwidth latin cap p","short":"cap p"},"mathspeak":{"default":"upper P"}}},{"category":"Lu","key":"FF31","mappings":{"default":{"default":"fullwidth latin capital letter q","alternative":"fullwidth latin cap q","short":"cap q"},"mathspeak":{"default":"upper Q"}}},{"category":"Lu","key":"FF32","mappings":{"default":{"default":"fullwidth latin capital letter r","alternative":"fullwidth latin cap r","short":"cap r"},"mathspeak":{"default":"upper R"}}},{"category":"Lu","key":"FF33","mappings":{"default":{"default":"fullwidth latin capital letter s","alternative":"fullwidth latin cap s","short":"cap s"},"mathspeak":{"default":"upper S"}}},{"category":"Lu","key":"FF34","mappings":{"default":{"default":"fullwidth latin capital letter t","alternative":"fullwidth latin cap t","short":"cap t"},"mathspeak":{"default":"upper T"}}},{"category":"Lu","key":"FF35","mappings":{"default":{"default":"fullwidth latin capital letter u","alternative":"fullwidth latin cap u","short":"cap u"},"mathspeak":{"default":"upper U"}}},{"category":"Lu","key":"FF36","mappings":{"default":{"default":"fullwidth latin capital letter v","alternative":"fullwidth latin cap v","short":"cap v"},"mathspeak":{"default":"upper V"}}},{"category":"Lu","key":"FF37","mappings":{"default":{"default":"fullwidth latin capital letter w","alternative":"fullwidth latin cap w","short":"cap w"},"mathspeak":{"default":"upper W"}}},{"category":"Lu","key":"FF38","mappings":{"default":{"default":"fullwidth latin capital letter x","alternative":"fullwidth latin cap x","short":"cap x"},"mathspeak":{"default":"upper X"}}},{"category":"Lu","key":"FF39","mappings":{"default":{"default":"fullwidth latin capital letter y","alternative":"fullwidth latin cap y","short":"cap y"},"mathspeak":{"default":"upper Y"}}},{"category":"Lu","key":"FF3A","mappings":{"default":{"default":"fullwidth latin capital letter z","alternative":"fullwidth latin cap z","short":"cap z"},"mathspeak":{"default":"upper Z"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-upper-single-accent.js b/unpacked/extensions/a11y/mathmaps/en/symbols/latin-upper-single-accent.js
deleted file mode 100644
index a9b587470f..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/latin-upper-single-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Lu","key":"00C0","mappings":{"default":{"default":"latin capital letter a with grave","alternative":"latin capital letter a grave","short":"cap a grave"},"mathspeak":{"default":"modifying above upper A with grave","brief":"mod above upper A with grave","sbrief":"mod above upper A with grave"}}},{"category":"Lu","key":"00C1","mappings":{"default":{"default":"latin capital letter a with acute","alternative":"latin capital letter a acute","short":"cap a acute"},"mathspeak":{"default":"modifying above upper A with acute","brief":"mod above upper A with acute","sbrief":"mod above upper A with acute"}}},{"category":"Lu","key":"00C2","mappings":{"default":{"default":"latin capital letter a with circumflex","alternative":"latin capital letter a hat","short":"cap a hat"},"mathspeak":{"default":"modifying above upper A with caret","brief":"mod above upper A with caret","sbrief":"mod above upper A with caret"}}},{"category":"Lu","key":"00C3","mappings":{"default":{"default":"latin capital letter a with tilde","alternative":"latin capital letter a tilde","short":"cap a tilde"},"mathspeak":{"default":"upper A overtilde","brief":"upper A overtilde","sbrief":"upper A overtilde"}}},{"category":"Lu","key":"00C4","mappings":{"default":{"default":"latin capital letter a with diaeresis","alternative":"latin capital letter a double overdot","short":"cap a double overdot"},"mathspeak":{"default":"modifying above upper A with double dot","brief":"mod above upper A with double dot","sbrief":"mod above upper A with double dot"}}},{"category":"Lu","key":"00C5","mappings":{"default":{"default":"latin capital letter a with ring above","alternative":"latin capital letter a ring","short":"cap a ring"},"mathspeak":{"default":"modifying above upper A with ring","brief":"mod above upper A with ring","sbrief":"mod above upper A with ring"}}},{"category":"Lu","key":"00C7","mappings":{"default":{"default":"latin capital letter c cedilla","alternative":"latin capital letter c cedilla","short":"cap c cedilla"},"mathspeak":{"default":"modifying above upper C with cedilla","brief":"mod above upper C with cedilla","sbrief":"mod above upper C with cedilla"}}},{"category":"Lu","key":"00C8","mappings":{"default":{"default":"latin capital letter e with grave","alternative":"latin capital letter e grave","short":"cap e grave"},"mathspeak":{"default":"modifying above upper E with grave","brief":"mod above upper E with grave","sbrief":"mod above upper E with grave"}}},{"category":"Lu","key":"00C9","mappings":{"default":{"default":"latin capital letter e with acute","alternative":"latin capital letter e acute","short":"cap e acute"},"mathspeak":{"default":"modifying above upper E with acute","brief":"mod above upper E with acute","sbrief":"mod above upper E with acute"}}},{"category":"Lu","key":"00CA","mappings":{"default":{"default":"latin capital letter e with circumflex","alternative":"latin capital letter e hat","short":"cap e hat"},"mathspeak":{"default":"modifying above upper E with caret","brief":"mod above upper E with caret","sbrief":"mod above upper E with caret"}}},{"category":"Lu","key":"00CB","mappings":{"default":{"default":"latin capital letter e with diaeresis","alternative":"latin capital letter e double overdot","short":"cap e double overdot"},"mathspeak":{"default":"modifying above upper E with double dot","brief":"mod above upper E with double dot","sbrief":"mod above upper E with double dot"}}},{"category":"Lu","key":"00CC","mappings":{"default":{"default":"latin capital letter i with grave","alternative":"latin capital letter i grave","short":"cap i grave"},"mathspeak":{"default":"modifying above upper I with grave","brief":"mod above upper I with grave","sbrief":"mod above upper I with grave"}}},{"category":"Lu","key":"00CD","mappings":{"default":{"default":"latin capital letter i with acute","alternative":"latin capital letter i acute","short":"cap i acute"},"mathspeak":{"default":"modifying above upper I with acute","brief":"mod above upper I with acute","sbrief":"mod above upper I with acute"}}},{"category":"Lu","key":"00CE","mappings":{"default":{"default":"latin capital letter i with circumflex","alternative":"latin capital letter i hat","short":"cap i hat"},"mathspeak":{"default":"modifying above upper I with caret","brief":"mod above upper I with caret","sbrief":"mod above upper I with caret"}}},{"category":"Lu","key":"00CF","mappings":{"default":{"default":"latin capital letter i with diaeresis","alternative":"latin capital letter i double overdot","short":"cap i double overdot"},"mathspeak":{"default":"modifying above upper I with double dot","brief":"mod above upper I with double dot","sbrief":"mod above upper I with double dot"}}},{"category":"Lu","key":"00D1","mappings":{"default":{"default":"latin capital letter n tilde","alternative":"latin capital letter n tilde","short":"cap n tilde"},"mathspeak":{"default":"upper N overtilde","brief":"upper N overtilde","sbrief":"upper N overtilde"}}},{"category":"Lu","key":"00D2","mappings":{"default":{"default":"latin capital letter o with grave","alternative":"latin capital letter o grave","short":"cap o grave"},"mathspeak":{"default":"modifying above upper O with grave","brief":"mod above upper O with grave","sbrief":"mod above upper O with grave"}}},{"category":"Lu","key":"00D3","mappings":{"default":{"default":"latin capital letter o with acute","alternative":"latin capital letter o acute","short":"cap o acute"},"mathspeak":{"default":"modifying above upper O with acute","brief":"mod above upper O with acute","sbrief":"mod above upper O with acute"}}},{"category":"Lu","key":"00D4","mappings":{"default":{"default":"latin capital letter o with circumflex","alternative":"latin capital letter o hat","short":"cap o hat"},"mathspeak":{"default":"modifying above upper O with caret","brief":"mod above upper O with caret","sbrief":"mod above upper O with caret"}}},{"category":"Lu","key":"00D5","mappings":{"default":{"default":"latin capital letter o with tilde","alternative":"latin capital letter o tilde","short":"cap o tilde"},"mathspeak":{"default":"upper O overtilde","brief":"upper O overtilde","sbrief":"upper O overtilde"}}},{"category":"Lu","key":"00D6","mappings":{"default":{"default":"latin capital letter o with diaeresis","alternative":"latin capital letter o double overdot","short":"cap o double overdot"},"mathspeak":{"default":"modifying above upper O with double dot","brief":"mod above upper O with double dot","sbrief":"mod above upper O with double dot"}}},{"category":"Lu","key":"00D9","mappings":{"default":{"default":"latin capital letter u with grave","alternative":"latin capital letter u grave","short":"cap u grave"},"mathspeak":{"default":"modifying above upper U with grave","brief":"mod above upper U with grave","sbrief":"mod above upper U with grave"}}},{"category":"Lu","key":"00DA","mappings":{"default":{"default":"latin capital letter u with acute","alternative":"latin capital letter u acute","short":"cap u acute"},"mathspeak":{"default":"modifying above upper U with acute","brief":"mod above upper U with acute","sbrief":"mod above upper U with acute"}}},{"category":"Lu","key":"00DB","mappings":{"default":{"default":"latin capital letter u with circumflex","alternative":"latin capital letter u hat","short":"cap u hat"},"mathspeak":{"default":"modifying above upper U with caret","brief":"mod above upper U with caret","sbrief":"mod above upper U with caret"}}},{"category":"Lu","key":"00DC","mappings":{"default":{"default":"latin capital letter u with diaeresis","alternative":"latin capital letter u double overdot","short":"cap u double overdot"},"mathspeak":{"default":"modifying above upper U with double dot","brief":"mod above upper U with double dot","sbrief":"mod above upper U with double dot"}}},{"category":"Lu","key":"00DD","mappings":{"default":{"default":"latin capital letter y with acute","alternative":"latin capital letter y acute","short":"cap y acute"},"mathspeak":{"default":"modifying above upper Y with acute","brief":"mod above upper Y with acute","sbrief":"mod above upper Y with acute"}}},{"category":"Lu","key":"0100","mappings":{"default":{"default":"latin capital letter a macron","alternative":"latin capital letter a overbar","short":"cap a overbar"},"mathspeak":{"default":"upper A overbar","brief":"upper A overbar","sbrief":"upper A overbar"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"latin capital letter a with breve","alternative":"latin capital letter a breve","short":"cap a breve"},"mathspeak":{"default":"modifying above upper A with breve","brief":"mod above upper A with breve","sbrief":"mod above upper A with breve"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"latin capital letter a with ogonek","alternative":"latin capital letter a ogonek","short":"cap a ogonek"},"mathspeak":{"default":"modifying above upper A with ogonek","brief":"mod above upper A with ogonek","sbrief":"mod above upper A with ogonek"}}},{"category":"Lu","key":"0106","mappings":{"default":{"default":"latin capital letter c with acute","alternative":"latin capital letter c acute","short":"cap c acute"},"mathspeak":{"default":"modifying above upper C with acute","brief":"mod above upper C with acute","sbrief":"mod above upper C with acute"}}},{"category":"Lu","key":"0108","mappings":{"default":{"default":"latin capital letter c with circumflex","alternative":"latin capital letter c hat","short":"cap c hat"},"mathspeak":{"default":"modifying above upper C with caret","brief":"mod above upper C with caret","sbrief":"mod above upper C with caret"}}},{"category":"Lu","key":"010A","mappings":{"default":{"default":"latin capital letter c with dot above","alternative":"latin capital letter c overdot","short":"cap c overdot"},"mathspeak":{"default":"modifying above upper C with dot","brief":"mod above upper C with dot","sbrief":"mod above upper C with dot"}}},{"category":"Lu","key":"010C","mappings":{"default":{"default":"latin capital letter c with caron","alternative":"latin capital letter c hacek","short":"cap c caron"},"mathspeak":{"default":"modifying above upper C with caron","brief":"mod above upper C with caron","sbrief":"mod above upper C with caron"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"latin capital letter d with caron","alternative":"latin capital letter d hacek","short":"cap d caron"},"mathspeak":{"default":"modifying above upper D with caron","brief":"mod above upper D with caron","sbrief":"mod above upper D with caron"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"latin capital letter e with macron","alternative":"latin capital letter e overbar","short":"cap e overbar"},"mathspeak":{"default":"upper E overbar","brief":"upper E overbar","sbrief":"upper E overbar"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"latin capital letter e with breve","alternative":"latin capital letter e breve","short":"cap e breve"},"mathspeak":{"default":"modifying above upper E with breve","brief":"mod above upper E with breve","sbrief":"mod above upper E with breve"}}},{"category":"Lu","key":"0116","mappings":{"default":{"default":"latin capital letter e with dot above","alternative":"latin capital letter e overdot","short":"cap e overdot"},"mathspeak":{"default":"modifying above upper E with dot","brief":"mod above upper E with dot","sbrief":"mod above upper E with dot"}}},{"category":"Lu","key":"0118","mappings":{"default":{"default":"latin capital letter e with ogonek","alternative":"latin capital letter e ogonek","short":"cap e ogonek"},"mathspeak":{"default":"modifying above upper E with ogonek","brief":"mod above upper E with ogonek","sbrief":"mod above upper E with ogonek"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"latin capital letter e with caron","alternative":"latin capital letter e hacek","short":"cap e caron"},"mathspeak":{"default":"modifying above upper E with caron","brief":"mod above upper E with caron","sbrief":"mod above upper E with caron"}}},{"category":"Lu","key":"011C","mappings":{"default":{"default":"latin capital letter g with circumflex","alternative":"latin capital letter g hat","short":"cap g hat"},"mathspeak":{"default":"modifying above upper G with caret","brief":"mod above upper G with caret","sbrief":"mod above upper G with caret"}}},{"category":"Lu","key":"011E","mappings":{"default":{"default":"latin capital letter g with breve","alternative":"latin capital letter g breve","short":"cap g breve"},"mathspeak":{"default":"modifying above upper G with breve","brief":"mod above upper G with breve","sbrief":"mod above upper G with breve"}}},{"category":"Lu","key":"0120","mappings":{"default":{"default":"latin capital letter g with dot above","alternative":"latin capital letter g overdot","short":"cap g overdot"},"mathspeak":{"default":"modifying above upper G with dot","brief":"mod above upper G with dot","sbrief":"mod above upper G with dot"}}},{"category":"Lu","key":"0122","mappings":{"default":{"default":"latin capital letter g with cedilla","alternative":"latin capital letter g cedilla","short":"cap g cedilla"},"mathspeak":{"default":"modifying above upper G with cedilla","brief":"mod above upper G with cedilla","sbrief":"mod above upper G with cedilla"}}},{"category":"Lu","key":"0124","mappings":{"default":{"default":"latin capital letter h with circumflex","alternative":"latin capital letter h hat","short":"cap h hat"},"mathspeak":{"default":"modifying above upper H with caret","brief":"mod above upper H with caret","sbrief":"mod above upper H with caret"}}},{"category":"Lu","key":"0128","mappings":{"default":{"default":"latin capital letter i with tilde","alternative":"latin capital letter i tilde","short":"cap i tilde"},"mathspeak":{"default":"upper I overtilde","brief":"upper I overtilde","sbrief":"upper I overtilde"}}},{"category":"Lu","key":"012A","mappings":{"default":{"default":"latin capital letter i with macron","alternative":"latin capital letter i overbar","short":"cap i overbar"},"mathspeak":{"default":"upper I overbar","brief":"upper I overbar","sbrief":"upper I overbar"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"latin capital letter i with breve","alternative":"latin capital letter i breve","short":"cap i breve"},"mathspeak":{"default":"modifying above upper I with breve","brief":"mod above upper I with breve","sbrief":"mod above upper I with breve"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"latin capital letter i with ogonek","alternative":"latin capital letter i ogonek","short":"cap i ogonek"},"mathspeak":{"default":"modifying above upper I with ogonek","brief":"mod above upper I with ogonek","sbrief":"mod above upper I with ogonek"}}},{"category":"Lu","key":"0130","mappings":{"default":{"default":"latin capital letter i with dot above","alternative":"latin capital letter i overdot","short":"cap i overdot"},"mathspeak":{"default":"modifying above upper I with dot","brief":"mod above upper I with dot","sbrief":"mod above upper I with dot"}}},{"category":"Lu","key":"0134","mappings":{"default":{"default":"latin capital letter j circumflex","alternative":"latin capital letter j hat","short":"cap j hat"},"mathspeak":{"default":"modifying above upper J with caret","brief":"mod above upper J with caret","sbrief":"mod above upper J with caret"}}},{"category":"Lu","key":"0136","mappings":{"default":{"default":"latin capital letter k with cedilla","alternative":"latin capital letter k cedilla","short":"cap k cedilla"},"mathspeak":{"default":"modifying above upper K with cedilla","brief":"mod above upper K with cedilla","sbrief":"mod above upper K with cedilla"}}},{"category":"Lu","key":"0139","mappings":{"default":{"default":"latin capital letter l with acute","alternative":"latin capital letter l acute","short":"cap l acute"},"mathspeak":{"default":"modifying above upper L with acute","brief":"mod above upper L with acute","sbrief":"mod above upper L with acute"}}},{"category":"Lu","key":"013B","mappings":{"default":{"default":"latin capital letter l with cedilla","alternative":"latin capital letter l cedilla","short":"cap l cedilla"},"mathspeak":{"default":"modifying above upper L with cedilla","brief":"mod above upper L with cedilla","sbrief":"mod above upper L with cedilla"}}},{"category":"Lu","key":"013D","mappings":{"default":{"default":"latin capital letter l with caron","alternative":"latin capital letter l hacek","short":"cap l caron"},"mathspeak":{"default":"modifying above upper L with caron","brief":"mod above upper L with caron","sbrief":"mod above upper L with caron"}}},{"category":"Lu","key":"013F","mappings":{"default":{"default":"latin capital letter l with middle dot","alternative":"latin capital letter l middle dot","short":"cap l middle dot"},"mathspeak":{"default":"modifying above upper L with middle dot","brief":"mod above upper L with middle dot","sbrief":"mod above upper L with middle dot"}}},{"category":"Lu","key":"0143","mappings":{"default":{"default":"latin capital letter n with acute","alternative":"latin capital letter n acute","short":"cap n acute"},"mathspeak":{"default":"modifying above upper N with acute","brief":"mod above upper N with acute","sbrief":"mod above upper N with acute"}}},{"category":"Lu","key":"0145","mappings":{"default":{"default":"latin capital letter n with cedilla","alternative":"latin capital letter n cedilla","short":"cap n cedilla"},"mathspeak":{"default":"modifying above upper N with cedilla","brief":"mod above upper N with cedilla","sbrief":"mod above upper N with cedilla"}}},{"category":"Lu","key":"0147","mappings":{"default":{"default":"latin capital letter n with caron","alternative":"latin capital letter n hacek","short":"cap n caron"},"mathspeak":{"default":"modifying above upper N with caron","brief":"mod above upper N with caron","sbrief":"mod above upper N with caron"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"latin capital letter o macron","alternative":"latin capital letter o overbar","short":"cap o overbar"},"mathspeak":{"default":"upper O overbar","brief":"upper O overbar","sbrief":"upper O overbar"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"latin capital letter o with breve","alternative":"latin capital letter o breve","short":"cap o breve"},"mathspeak":{"default":"modifying above upper O with breve","brief":"mod above upper O with breve","sbrief":"mod above upper O with breve"}}},{"category":"Lu","key":"0150","mappings":{"default":{"default":"latin capital letter o with double acute","alternative":"latin capital letter o double acute","short":"cap o double acute"},"mathspeak":{"default":"modifying above upper O with double acute","brief":"mod above upper O with double acute","sbrief":"mod above upper O with double acute"}}},{"category":"Lu","key":"0154","mappings":{"default":{"default":"latin capital letter r acute","alternative":"latin capital letter r acute","short":"cap r acute"},"mathspeak":{"default":"modifying above upper R with acute","brief":"mod above upper R with acute","sbrief":"mod above upper R with acute"}}},{"category":"Lu","key":"0156","mappings":{"default":{"default":"latin capital letter r with cedilla","alternative":"latin capital letter r cedilla","short":"cap r cedilla"},"mathspeak":{"default":"modifying above upper R with cedilla","brief":"mod above upper R with cedilla","sbrief":"mod above upper R with cedilla"}}},{"category":"Lu","key":"0158","mappings":{"default":{"default":"latin capital letter r with caron","alternative":"latin capital letter r hacek","short":"cap r caron"},"mathspeak":{"default":"modifying above upper R with caron","brief":"mod above upper R with caron","sbrief":"mod above upper R with caron"}}},{"category":"Lu","key":"015A","mappings":{"default":{"default":"latin capital letter s with acute","alternative":"latin capital letter s acute","short":"cap s acute"},"mathspeak":{"default":"modifying above upper S with acute","brief":"mod above upper S with acute","sbrief":"mod above upper S with acute"}}},{"category":"Lu","key":"015C","mappings":{"default":{"default":"latin capital letter s with circumflex","alternative":"latin capital letter s hat","short":"cap s hat"},"mathspeak":{"default":"modifying above upper S with caret","brief":"mod above upper S with caret","sbrief":"mod above upper S with caret"}}},{"category":"Lu","key":"015E","mappings":{"default":{"default":"latin capital letter s with cedilla","alternative":"latin capital letter s cedilla","short":"cap s cedilla"},"mathspeak":{"default":"modifying above upper S with cedilla","brief":"mod above upper S with cedilla","sbrief":"mod above upper S with cedilla"}}},{"category":"Lu","key":"0160","mappings":{"default":{"default":"latin capital letter s with caron","alternative":"latin capital letter s hacek","short":"cap s caron"},"mathspeak":{"default":"modifying above upper S with caron","brief":"mod above upper S with caron","sbrief":"mod above upper S with caron"}}},{"category":"Lu","key":"0162","mappings":{"default":{"default":"latin capital letter t with cedilla","alternative":"latin capital letter t cedilla","short":"cap t cedilla"},"mathspeak":{"default":"modifying above upper T with cedilla","brief":"mod above upper T with cedilla","sbrief":"mod above upper T with cedilla"}}},{"category":"Lu","key":"0164","mappings":{"default":{"default":"latin capital letter t with caron","alternative":"latin capital letter t hacek","short":"cap t caron"},"mathspeak":{"default":"modifying above upper T with caron","brief":"mod above upper T with caron","sbrief":"mod above upper T with caron"}}},{"category":"Lu","key":"0168","mappings":{"default":{"default":"latin capital letter u with tilde","alternative":"latin capital letter u tilde","short":"cap u tilde"},"mathspeak":{"default":"upper U overtilde","brief":"upper U overtilde","sbrief":"upper U overtilde"}}},{"category":"Lu","key":"016A","mappings":{"default":{"default":"latin capital letter u with macron","alternative":"latin capital letter u overbar","short":"cap u overbar"},"mathspeak":{"default":"upper U overbar","brief":"upper U overbar","sbrief":"upper U overbar"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"latin capital letter u with breve","alternative":"latin capital letter u breve","short":"cap u breve"},"mathspeak":{"default":"modifying above upper U with breve","brief":"mod above upper U with breve","sbrief":"mod above upper U with breve"}}},{"category":"Lu","key":"016E","mappings":{"default":{"default":"latin capital letter u with ring above","alternative":"latin capital letter u ring","short":"cap u ring"},"mathspeak":{"default":"modifying above upper U with ring","brief":"mod above upper U with ring","sbrief":"mod above upper U with ring"}}},{"category":"Lu","key":"0170","mappings":{"default":{"default":"latin capital letter u with double acute","alternative":"latin capital letter u double acute","short":"cap u double acute"},"mathspeak":{"default":"modifying above upper U with double acute","brief":"mod above upper U with double acute","sbrief":"mod above upper U with double acute"}}},{"category":"Lu","key":"0172","mappings":{"default":{"default":"latin capital letter u with ogonek","alternative":"latin capital letter u ogonek","short":"cap u ogonek"},"mathspeak":{"default":"modifying above upper U with ogonek","brief":"mod above upper U with ogonek","sbrief":"mod above upper U with ogonek"}}},{"category":"Lu","key":"0174","mappings":{"default":{"default":"latin capital letter w with circumflex","alternative":"latin capital letter w hat","short":"cap w hat"},"mathspeak":{"default":"modifying above upper W with caret","brief":"mod above upper W with caret","sbrief":"mod above upper W with caret"}}},{"category":"Lu","key":"0176","mappings":{"default":{"default":"latin capital letter y with circumflex","alternative":"latin capital letter y hat","short":"cap y hat"},"mathspeak":{"default":"modifying above upper Y with caret","brief":"mod above upper Y with caret","sbrief":"mod above upper Y with caret"}}},{"category":"Lu","key":"0178","mappings":{"default":{"default":"latin capital letter y with diaeresis","alternative":"latin capital letter y double overdot","short":"cap y double overdot"},"mathspeak":{"default":"modifying above upper Y with double dot","brief":"mod above upper Y with double dot","sbrief":"mod above upper Y with double dot"}}},{"category":"Lu","key":"0179","mappings":{"default":{"default":"latin capital letter z with acute","alternative":"latin capital letter z acute","short":"cap z acute"},"mathspeak":{"default":"modifying above upper Z with acute","brief":"mod above upper Z with acute","sbrief":"mod above upper Z with acute"}}},{"category":"Lu","key":"017B","mappings":{"default":{"default":"latin capital letter z with dot above","alternative":"latin capital letter z overdot","short":"cap z overdot"},"mathspeak":{"default":"modifying above upper Z with dot","brief":"mod above upper Z with dot","sbrief":"mod above upper Z with dot"}}},{"category":"Lu","key":"017D","mappings":{"default":{"default":"latin capital letter z with caron","alternative":"latin capital letter z hacek","short":"cap z caron"},"mathspeak":{"default":"modifying above upper Z with caron","brief":"mod above upper Z with caron","sbrief":"mod above upper Z with caron"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"latin capital letter a with caron","alternative":"latin capital letter a hacek","short":"cap a caron"},"mathspeak":{"default":"modifying above upper A with caron","brief":"mod above upper A with caron","sbrief":"mod above upper A with caron"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"latin capital letter i with caron","alternative":"latin capital letter i hacek","short":"cap i caron"},"mathspeak":{"default":"modifying above upper I with caron","brief":"mod above upper I with caron","sbrief":"mod above upper I with caron"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"latin capital letter o with caron","alternative":"latin capital letter o hacek","short":"cap o caron"},"mathspeak":{"default":"modifying above upper O with caron","brief":"mod above upper O with caron","sbrief":"mod above upper O with caron"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"latin capital letter u with caron","alternative":"latin capital letter u hacek","short":"cap u caron"},"mathspeak":{"default":"modifying above upper U with caron","brief":"mod above upper U with caron","sbrief":"mod above upper U with caron"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"latin capital letter g with caron","alternative":"latin capital letter g hacek","short":"cap g caron"},"mathspeak":{"default":"modifying above upper G with caron","brief":"mod above upper G with caron","sbrief":"mod above upper G with caron"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"latin capital letter k with caron","alternative":"latin capital letter k hacek","short":"cap k caron"},"mathspeak":{"default":"modifying above upper K with caron","brief":"mod above upper K with caron","sbrief":"mod above upper K with caron"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"latin capital letter o with ogonek","alternative":"latin capital letter o ogonek","short":"cap o ogonek"},"mathspeak":{"default":"modifying above upper O with ogonek","brief":"mod above upper O with ogonek","sbrief":"mod above upper O with ogonek"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"latin capital letter g with acute","alternative":"latin capital letter g acute","short":"cap g acute"},"mathspeak":{"default":"modifying above upper G with acute","brief":"mod above upper G with acute","sbrief":"mod above upper G with acute"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"latin capital letter n with grave","alternative":"latin capital letter n grave","short":"cap n grave"},"mathspeak":{"default":"modifying above upper N with grave","brief":"mod above upper N with grave","sbrief":"mod above upper N with grave"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"latin capital letter a with double grave","alternative":"latin capital letter a double grave","short":"cap a double grave"},"mathspeak":{"default":"modifying above upper A with double grave","brief":"mod above upper A with double grave","sbrief":"mod above upper A with double grave"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"latin capital letter a with inverted breve","alternative":"latin capital letter a inverted breve","short":"cap a inverted breve"},"mathspeak":{"default":"modifying above upper A with inverted breve","brief":"mod above upper A with inverted breve","sbrief":"mod above upper A with inverted breve"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"latin capital letter e with double grave","alternative":"latin capital letter e double grave","short":"cap e double grave"},"mathspeak":{"default":"modifying above upper E with double grave","brief":"mod above upper E with double grave","sbrief":"mod above upper E with double grave"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"latin capital letter e with inverted breve","alternative":"latin capital letter e inverted breve","short":"cap e inverted breve"},"mathspeak":{"default":"modifying above upper E with inverted breve","brief":"mod above upper E with inverted breve","sbrief":"mod above upper E with inverted breve"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"latin capital letter i with double grave","alternative":"latin capital letter i double grave","short":"cap i double grave"},"mathspeak":{"default":"modifying above upper I with double grave","brief":"mod above upper I with double grave","sbrief":"mod above upper I with double grave"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"latin capital letter i with inverted breve","alternative":"latin capital letter i inverted breve","short":"cap i inverted breve"},"mathspeak":{"default":"modifying above upper I with inverted breve","brief":"mod above upper I with inverted breve","sbrief":"mod above upper I with inverted breve"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"latin capital letter o with double grave","alternative":"latin capital letter o double grave","short":"cap o double grave"},"mathspeak":{"default":"modifying above upper O with double grave","brief":"mod above upper O with double grave","sbrief":"mod above upper O with double grave"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"latin capital letter o with inverted breve","alternative":"latin capital letter o inverted breve","short":"cap o inverted breve"},"mathspeak":{"default":"modifying above upper O with inverted breve","brief":"mod above upper O with inverted breve","sbrief":"mod above upper O with inverted breve"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"latin capital letter r with double grave","alternative":"latin capital letter r double grave","short":"cap r double grave"},"mathspeak":{"default":"modifying above upper R with double grave","brief":"mod above upper R with double grave","sbrief":"mod above upper R with double grave"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"latin capital letter r with inverted breve","alternative":"latin capital letter r inverted breve","short":"cap r inverted breve"},"mathspeak":{"default":"modifying above upper R with inverted breve","brief":"mod above upper R with inverted breve","sbrief":"mod above upper R with inverted breve"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"latin capital letter u with double grave","alternative":"latin capital letter u double grave","short":"cap u double grave"},"mathspeak":{"default":"modifying above upper U with double grave","brief":"mod above upper U with double grave","sbrief":"mod above upper U with double grave"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"latin capital letter u with inverted breve","alternative":"latin capital letter u inverted breve","short":"cap u inverted breve"},"mathspeak":{"default":"modifying above upper U with inverted breve","brief":"mod above upper U with inverted breve","sbrief":"mod above upper U with inverted breve"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"latin capital letter s with comma below","alternative":"latin capital letter s comma below","short":"cap s comma below"},"mathspeak":{"default":"modifying below upper S with comma below","brief":"mod below upper S with comma below","sbrief":"mod below upper S with comma below"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"latin capital letter t with comma below","alternative":"latin capital letter t comma below","short":"cap t comma below"},"mathspeak":{"default":"modifying below upper T with comma below","brief":"mod below upper T with comma below","sbrief":"mod below upper T with comma below"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"latin capital letter h caron","short":"cap h caron"},"mathspeak":{"default":"modifying above upper H with caron","brief":"mod above upper H with caron","sbrief":"mod above upper H with caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"latin capital letter a with dot above","alternative":"latin capital letter a overdot","short":"cap a overdot"},"mathspeak":{"default":"modifying above upper A with dot","brief":"mod above upper A with dot","sbrief":"mod above upper A with dot"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"latin capital letter e with cedilla","alternative":"latin capital letter e cedilla","short":"cap e cedilla"},"mathspeak":{"default":"modifying above upper E with cedilla","brief":"mod above upper E with cedilla","sbrief":"mod above upper E with cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"latin capital letter o with dot above","alternative":"latin capital letter o overdot","short":"cap o overdot"},"mathspeak":{"default":"modifying above upper O with dot","brief":"mod above upper O with dot","sbrief":"mod above upper O with dot"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"latin capital letter y with macron","alternative":"latin capital letter y overbar","short":"cap y overbar"},"mathspeak":{"default":"upper Y overbar","brief":"upper Y overbar","sbrief":"upper Y overbar"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"latin capital letter a with ring below","alternative":"latin capital letter a ring below","short":"cap a ring below"},"mathspeak":{"default":"modifying below upper A with ring below","brief":"mod below upper A with ring below","sbrief":"mod below upper A with ring below"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"latin capital letter b with dot above","alternative":"latin capital letter b overdot","short":"cap b overdot"},"mathspeak":{"default":"modifying above upper B with dot","brief":"mod above upper B with dot","sbrief":"mod above upper B with dot"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"latin capital letter b with dot below","alternative":"latin capital letter b underdot","short":"cap b underdot"},"mathspeak":{"default":"modifying below upper B with dot","brief":"mod below upper B with dot","sbrief":"mod below upper B with dot"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"latin capital letter b with line below","alternative":"latin capital letter b underbar","short":"cap b underbar"},"mathspeak":{"default":"upper B underbar","brief":"upper B underbar","sbrief":"upper B underbar"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"latin capital letter d with dot above","alternative":"latin capital letter d overdot","short":"cap d overdot"},"mathspeak":{"default":"modifying above upper D with dot","brief":"mod above upper D with dot","sbrief":"mod above upper D with dot"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"latin capital letter d with dot below","alternative":"latin capital letter d underdot","short":"cap d underdot"},"mathspeak":{"default":"modifying below upper D with dot","brief":"mod below upper D with dot","sbrief":"mod below upper D with dot"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"latin capital letter d with line below","alternative":"latin capital letter d underbar","short":"cap d underbar"},"mathspeak":{"default":"upper D underbar","brief":"upper D underbar","sbrief":"upper D underbar"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"latin capital letter d with cedilla","alternative":"latin capital letter d cedilla","short":"cap d cedilla"},"mathspeak":{"default":"modifying above upper D with cedilla","brief":"mod above upper D with cedilla","sbrief":"mod above upper D with cedilla"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"latin capital letter d with circumflex below","alternative":"latin capital letter d underhat","short":"cap d underhat"},"mathspeak":{"default":"modifying below upper D with caret","brief":"mod below upper D with caret","sbrief":"mod below upper D with caret"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"latin capital letter e with circumflex below","alternative":"latin capital letter e underhat","short":"cap e underhat"},"mathspeak":{"default":"modifying below upper E with caret","brief":"mod below upper E with caret","sbrief":"mod below upper E with caret"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"latin capital letter e with tilde below","alternative":"latin capital letter e tilde below","short":"cap e tilde below"},"mathspeak":{"default":"upper E undertilde","brief":"upper E undertilde","sbrief":"upper E undertilde"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"latin capital letter f with dot above","alternative":"latin capital letter f overdot","short":"cap f overdot"},"mathspeak":{"default":"modifying above upper F with dot","brief":"mod above upper F with dot","sbrief":"mod above upper F with dot"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"latin capital letter g with macron","alternative":"latin capital letter g overbar","short":"cap g overbar"},"mathspeak":{"default":"upper G overbar","brief":"upper G overbar","sbrief":"upper G overbar"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"latin capital letter h with dot above","alternative":"latin capital letter h overdot","short":"cap h overdot"},"mathspeak":{"default":"modifying above upper H with dot","brief":"mod above upper H with dot","sbrief":"mod above upper H with dot"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"latin capital letter h with dot below","alternative":"latin capital letter h underdot","short":"cap h underdot"},"mathspeak":{"default":"modifying below upper H with dot","brief":"mod below upper H with dot","sbrief":"mod below upper H with dot"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"latin capital letter h with diaeresis","alternative":"latin capital letter h double overdot","short":"cap h double overdot"},"mathspeak":{"default":"modifying above upper H with double dot","brief":"mod above upper H with double dot","sbrief":"mod above upper H with double dot"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"latin capital letter h with cedilla","alternative":"latin capital letter h cedilla","short":"cap h cedilla"},"mathspeak":{"default":"modifying above upper H with cedilla","brief":"mod above upper H with cedilla","sbrief":"mod above upper H with cedilla"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"latin capital letter h with breve below","alternative":"latin capital letter h breve below","short":"cap h breve below"},"mathspeak":{"default":"modifying below upper H with breve below","brief":"mod below upper H with breve below","sbrief":"mod below upper H with breve below"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"latin capital letter i with tilde below","alternative":"latin capital letter i tilde below","short":"cap i tilde below"},"mathspeak":{"default":"upper I undertilde","brief":"upper I undertilde","sbrief":"upper I undertilde"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"latin capital letter k with acute","alternative":"latin capital letter k acute","short":"cap k acute"},"mathspeak":{"default":"modifying above upper K with acute","brief":"mod above upper K with acute","sbrief":"mod above upper K with acute"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"latin capital letter k with dot below","alternative":"latin capital letter k underdot","short":"cap k underdot"},"mathspeak":{"default":"modifying below upper K with dot","brief":"mod below upper K with dot","sbrief":"mod below upper K with dot"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"latin capital letter k with line below","alternative":"latin capital letter k underbar","short":"cap k underbar"},"mathspeak":{"default":"upper K underbar","brief":"upper K underbar","sbrief":"upper K underbar"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"latin capital letter l with dot below","alternative":"latin capital letter l underdot","short":"cap l underdot"},"mathspeak":{"default":"modifying below upper L with dot","brief":"mod below upper L with dot","sbrief":"mod below upper L with dot"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"latin capital letter l with line below","alternative":"latin capital letter l underbar","short":"cap l underbar"},"mathspeak":{"default":"upper L underbar","brief":"upper L underbar","sbrief":"upper L underbar"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"latin capital letter l with circumflex below","alternative":"latin capital letter l underhat","short":"cap l underhat"},"mathspeak":{"default":"modifying below upper L with caret","brief":"mod below upper L with caret","sbrief":"mod below upper L with caret"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"latin capital letter m with acute","alternative":"latin capital letter m acute","short":"cap m acute"},"mathspeak":{"default":"modifying above upper M with acute","brief":"mod above upper M with acute","sbrief":"mod above upper M with acute"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"latin capital letter m with dot above","alternative":"latin capital letter m overdot","short":"cap m overdot"},"mathspeak":{"default":"modifying above upper M with dot","brief":"mod above upper M with dot","sbrief":"mod above upper M with dot"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"latin capital letter m with dot below","alternative":"latin capital letter m underdot","short":"cap m underdot"},"mathspeak":{"default":"modifying below upper M with dot","brief":"mod below upper M with dot","sbrief":"mod below upper M with dot"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"latin capital letter n with dot above","alternative":"latin capital letter n overdot","short":"cap n overdot"},"mathspeak":{"default":"modifying above upper N with dot","brief":"mod above upper N with dot","sbrief":"mod above upper N with dot"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"latin capital letter n with dot below","alternative":"latin capital letter n underdot","short":"cap n underdot"},"mathspeak":{"default":"modifying below upper N with dot","brief":"mod below upper N with dot","sbrief":"mod below upper N with dot"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"latin capital letter n with line below","alternative":"latin capital letter n underbar","short":"cap n underbar"},"mathspeak":{"default":"upper N underbar","brief":"upper N underbar","sbrief":"upper N underbar"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"latin capital letter n with circumflex below","alternative":"latin capital letter n underhat","short":"cap n underhat"},"mathspeak":{"default":"modifying below upper N with caret","brief":"mod below upper N with caret","sbrief":"mod below upper N with caret"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"latin capital letter p with acute","alternative":"latin capital letter p acute","short":"cap p acute"},"mathspeak":{"default":"modifying above upper P with acute","brief":"mod above upper P with acute","sbrief":"mod above upper P with acute"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"latin capital letter p with dot above","alternative":"latin capital letter p overdot","short":"cap p overdot"},"mathspeak":{"default":"modifying above upper P with dot","brief":"mod above upper P with dot","sbrief":"mod above upper P with dot"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"latin capital letter r with dot above","alternative":"latin capital letter r overdot","short":"cap r overdot"},"mathspeak":{"default":"modifying above upper R with dot","brief":"mod above upper R with dot","sbrief":"mod above upper R with dot"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"latin capital letter r with dot below","alternative":"latin capital letter r underdot","short":"cap r underdot"},"mathspeak":{"default":"modifying below upper R with dot","brief":"mod below upper R with dot","sbrief":"mod below upper R with dot"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"latin capital letter r with line below","alternative":"latin capital letter r underbar","short":"cap r underbar"},"mathspeak":{"default":"upper R underbar","brief":"upper R underbar","sbrief":"upper R underbar"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"latin capital letter s with dot above","alternative":"latin capital letter s overdot","short":"cap s overdot"},"mathspeak":{"default":"modifying above upper S with dot","brief":"mod above upper S with dot","sbrief":"mod above upper S with dot"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"latin capital letter s with dot below","alternative":"latin capital letter s underdot","short":"cap s underdot"},"mathspeak":{"default":"modifying below upper S with dot","brief":"mod below upper S with dot","sbrief":"mod below upper S with dot"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"latin capital letter t with dot above","alternative":"latin capital letter t overdot","short":"cap t overdot"},"mathspeak":{"default":"modifying above upper T with dot","brief":"mod above upper T with dot","sbrief":"mod above upper T with dot"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"latin capital letter t with dot below","alternative":"latin capital letter t underdot","short":"cap t underdot"},"mathspeak":{"default":"modifying below upper T with dot","brief":"mod below upper T with dot","sbrief":"mod below upper T with dot"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"latin capital letter t with line below","alternative":"latin capital letter t underbar","short":"cap t underbar"},"mathspeak":{"default":"upper T underbar","brief":"upper T underbar","sbrief":"upper T underbar"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"latin capital letter t with circumflex below","alternative":"latin capital letter t underhat","short":"cap t underhat"},"mathspeak":{"default":"modifying below upper T with caret","brief":"mod below upper T with caret","sbrief":"mod below upper T with caret"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"latin capital letter u with diaeresis below","alternative":"latin capital letter u double underdot","short":"cap u double underdot"},"mathspeak":{"default":"modifying below upper U with double dot","brief":"mod below upper U with double dot","sbrief":"mod below upper U with double dot"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"latin capital letter u with tilde below","alternative":"latin capital letter u tilde below","short":"cap u tilde below"},"mathspeak":{"default":"upper U undertilde","brief":"upper U undertilde","sbrief":"upper U undertilde"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"latin capital letter u with circumflex below","alternative":"latin capital letter u underhat","short":"cap u underhat"},"mathspeak":{"default":"modifying below upper U with caret","brief":"mod below upper U with caret","sbrief":"mod below upper U with caret"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"latin capital letter v with tilde","alternative":"latin capital letter v tilde","short":"cap v tilde"},"mathspeak":{"default":"upper V overtilde","brief":"upper V overtilde","sbrief":"upper V overtilde"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"latin capital letter v with dot below","alternative":"latin capital letter v underdot","short":"cap v underdot"},"mathspeak":{"default":"modifying below upper V with dot","brief":"mod below upper V with dot","sbrief":"mod below upper V with dot"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"latin capital letter w with grave","alternative":"latin capital letter w grave","short":"cap w grave"},"mathspeak":{"default":"modifying above upper W with grave","brief":"mod above upper W with grave","sbrief":"mod above upper W with grave"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"latin capital letter w with acute","alternative":"latin capital letter w acute","short":"cap w acute"},"mathspeak":{"default":"modifying above upper W with acute","brief":"mod above upper W with acute","sbrief":"mod above upper W with acute"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"latin capital letter w with diaeresis","alternative":"latin capital letter w double overdot","short":"cap w double overdot"},"mathspeak":{"default":"modifying above upper W with double dot","brief":"mod above upper W with double dot","sbrief":"mod above upper W with double dot"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"latin capital letter w with dot above","alternative":"latin capital letter w overdot","short":"cap w overdot"},"mathspeak":{"default":"modifying above upper W with dot","brief":"mod above upper W with dot","sbrief":"mod above upper W with dot"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"latin capital letter w with dot below","alternative":"latin capital letter w underdot","short":"cap w underdot"},"mathspeak":{"default":"modifying below upper W with dot","brief":"mod below upper W with dot","sbrief":"mod below upper W with dot"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"latin capital letter x with dot above","alternative":"latin capital letter x overdot","short":"cap x overdot"},"mathspeak":{"default":"modifying above upper X with dot","brief":"mod above upper X with dot","sbrief":"mod above upper X with dot"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"latin capital letter x with diaeresis","alternative":"latin capital letter x double overdot","short":"cap x double overdot"},"mathspeak":{"default":"modifying above upper X with double dot","brief":"mod above upper X with double dot","sbrief":"mod above upper X with double dot"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"latin capital letter y with dot above","alternative":"latin capital letter y overdot","short":"cap y overdot"},"mathspeak":{"default":"modifying above upper Y with dot","brief":"mod above upper Y with dot","sbrief":"mod above upper Y with dot"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"latin capital letter z with circumflex","alternative":"latin capital letter z circumflex","short":"cap z circumflex"},"mathspeak":{"default":"modifying above upper Z with circumflex","brief":"mod above upper Z with circumflex","sbrief":"mod above upper Z with circumflex"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"latin capital letter z with dot below","alternative":"latin capital letter z underdot","short":"cap z underdot"},"mathspeak":{"default":"modifying below upper Z with dot","brief":"mod below upper Z with dot","sbrief":"mod below upper Z with dot"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"latin capital letter z with line below","alternative":"latin capital letter z underbar","short":"cap z underbar"},"mathspeak":{"default":"upper Z underbar","brief":"upper Z underbar","sbrief":"upper Z underbar"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"latin capital letter with a dot below","alternative":"latin capital letter with a underdot","short":"cap a underdot"},"mathspeak":{"default":"modifying below upper A with dot","brief":"mod below upper A with dot","sbrief":"mod below upper A with dot"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"latin capital letter a with hook above","alternative":"latin capital letter a hook","short":"cap a hook"},"mathspeak":{"default":"modifying above upper A with hook","brief":"mod above upper A with hook","sbrief":"mod above upper A with hook"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"latin capital letter e with dot below","alternative":"latin capital letter e underdot","short":"cap e underdot"},"mathspeak":{"default":"modifying below upper E with dot","brief":"mod below upper E with dot","sbrief":"mod below upper E with dot"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"latin capital letter e with hook above","alternative":"latin capital letter e hook","short":"cap e hook"},"mathspeak":{"default":"modifying above upper E with hook","brief":"mod above upper E with hook","sbrief":"mod above upper E with hook"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"latin capital letter e with tilde","alternative":"latin capital letter e tilde","short":"cap e tilde"},"mathspeak":{"default":"upper E overtilde","brief":"upper E overtilde","sbrief":"upper E overtilde"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"latin capital letter i with hook above","alternative":"latin capital letter i hook","short":"cap i hook"},"mathspeak":{"default":"modifying above upper I with hook","brief":"mod above upper I with hook","sbrief":"mod above upper I with hook"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"latin capital letter i with dot below","alternative":"latin capital letter i underdot","short":"cap i underdot"},"mathspeak":{"default":"modifying below upper I with dot","brief":"mod below upper I with dot","sbrief":"mod below upper I with dot"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"latin capital letter o with dot below","alternative":"latin capital letter o underdot","short":"cap o underdot"},"mathspeak":{"default":"modifying below upper O with dot","brief":"mod below upper O with dot","sbrief":"mod below upper O with dot"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"latin capital letter o with hook above","alternative":"latin capital letter o hook","short":"cap o hook"},"mathspeak":{"default":"modifying above upper O with hook","brief":"mod above upper O with hook","sbrief":"mod above upper O with hook"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"latin capital letter u with dot below","alternative":"latin capital letter u underdot","short":"cap u underdot"},"mathspeak":{"default":"modifying below upper U with dot","brief":"mod below upper U with dot","sbrief":"mod below upper U with dot"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"latin capital letter u with hook above","alternative":"latin capital letter u hook","short":"cap u hook"},"mathspeak":{"default":"modifying above upper U with hook","brief":"mod above upper U with hook","sbrief":"mod above upper U with hook"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"latin capital letter y with grave","alternative":"latin capital letter y grave","short":"cap y grave"},"mathspeak":{"default":"modifying above upper Y with grave","brief":"mod above upper Y with grave","sbrief":"mod above upper Y with grave"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"latin capital letter y with dot below","alternative":"latin capital letter y underdot","short":"cap y underdot"},"mathspeak":{"default":"modifying below upper Y with dot","brief":"mod below upper Y with dot","sbrief":"mod below upper Y with dot"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"latin capital letter y with hook above","alternative":"latin capital letter y hook","short":"cap y hook"},"mathspeak":{"default":"modifying above upper Y with hook","brief":"mod above upper Y with hook","sbrief":"mod above upper Y with hook"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"latin capital letter y with tilde","alternative":"latin capital letter y tilde","short":"cap y tilde"},"mathspeak":{"default":"upper Y overtilde","brief":"upper Y overtilde","sbrief":"upper Y overtilde"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/math_angles.js b/unpacked/extensions/a11y/mathmaps/en/symbols/math_angles.js
deleted file mode 100644
index 047454fe67..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/math_angles.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"right angle with arc"}},"key":"22BE"},{"category":"Sm","mappings":{"default":{"default":"right angle with downwards zigzag arrow"}},"key":"237C"},{"category":"Sm","mappings":{"default":{"default":"three dimensional angle"}},"key":"27C0"},{"category":"Sm","mappings":{"default":{"default":"measured angle opening left"}},"key":"299B"},{"category":"Sm","mappings":{"default":{"default":"right angle variant with square"}},"key":"299C"},{"category":"Sm","mappings":{"default":{"default":"measured right angle with dot"}},"key":"299D"},{"category":"Sm","mappings":{"default":{"default":"angle with s inside"}},"key":"299E"},{"category":"Sm","mappings":{"default":{"default":"acute angle"}},"key":"299F"},{"category":"Sm","mappings":{"default":{"default":"spherical angle opening left"}},"key":"29A0"},{"category":"Sm","mappings":{"default":{"default":"spherical angle opening up"}},"key":"29A1"},{"category":"Sm","mappings":{"default":{"default":"turned angle"}},"key":"29A2"},{"category":"Sm","mappings":{"default":{"default":"reversed angle"}},"key":"29A3"},{"category":"Sm","mappings":{"default":{"default":"angle with underbar"}},"key":"29A4"},{"category":"Sm","mappings":{"default":{"default":"reversed angle with underbar"}},"key":"29A5"},{"category":"Sm","mappings":{"default":{"default":"oblique angle opening up"}},"key":"29A6"},{"category":"Sm","mappings":{"default":{"default":"oblique angle opening down"}},"key":"29A7"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and right"}},"key":"29A8"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and left"}},"key":"29A9"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and right"}},"key":"29AA"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and left"}},"key":"29AB"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"key":"29AC"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"key":"29AD"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"key":"29AE"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"key":"29AF"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/math_arrows.js b/unpacked/extensions/a11y/mathmaps/en/symbols/math_arrows.js
deleted file mode 100644
index 4199c9606d..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/math_arrows.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow","short":"left arrow"},"mathspeak":{"default":"left-arrow","sbrief":"L arrow"}},"key":"2190"},{"category":"Sm","mappings":{"default":{"default":"upwards arrow","short":"up arrow"},"mathspeak":{"default":"up-arrow","sbrief":"U arrow"}},"key":"2191"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow","short":"right arrow"},"mathspeak":{"default":"right-arrow","sbrief":"R arrow"}},"key":"2192"},{"category":"Sm","mappings":{"default":{"default":"downwards arrow","short":"down arrow"},"mathspeak":{"default":"down-arrow","sbrief":"D arrow"}},"key":"2193"},{"category":"Sm","mappings":{"default":{"default":"left right arrow"},"mathspeak":{"default":"left-right-arrow","sbrief":"L R arrow"}},"key":"2194"},{"category":"So","mappings":{"default":{"default":"up down arrow"},"mathspeak":{"default":"up down-arrow","sbrief":"U D arrow"}},"key":"2195"},{"category":"So","mappings":{"default":{"default":"north west arrow","short":"up left arrow"},"mathspeak":{"default":"up left-arrow","sbrief":"U L arrow"}},"key":"2196"},{"category":"So","mappings":{"default":{"default":"north east arrow","short":"up right arrow"},"mathspeak":{"default":"up right-arrow","sbrief":"U R arrow"}},"key":"2197"},{"category":"So","mappings":{"default":{"default":"south east arrow","short":"down right arrow"},"mathspeak":{"default":"down right-arrow","sbrief":"D R arrow"}},"key":"2198"},{"category":"So","mappings":{"default":{"default":"south west arrow","short":"down left arrow"},"mathspeak":{"default":"down left-arrow","sbrief":"D L arrow"}},"key":"2199"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with stroke","short":"left arrow with stroke"},"mathspeak":{"default":"left-arrow with stroke","sbrief":"L arrow with stroke"}},"key":"219A"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with stroke","short":"right arrow with stroke"},"mathspeak":{"default":"right-arrow with stroke","sbrief":"R arrow with stroke"}},"key":"219B"},{"category":"So","mappings":{"default":{"default":"leftwards wave arrow","short":"left wave arrow"},"mathspeak":{"sbrief":"L wave arrow"}},"key":"219C"},{"category":"So","mappings":{"default":{"default":"rightwards wave arrow","short":"right wave arrow"},"mathspeak":{"sbrief":"R wave arrow"}},"key":"219D"},{"category":"So","mappings":{"default":{"default":"leftwards two headed arrow","alternative":"left two headed arrow","short":"two headed left arrow"},"mathspeak":{"default":"two headed left-arrow","sbrief":"two headed L arrow"}},"key":"219E"},{"category":"So","mappings":{"default":{"default":"upwards two headed arrow","alternative":"up two headed arrow","short":"two headed up arrow"},"mathspeak":{"default":"two headed up-arrow","sbrief":"two headed U arrow"}},"key":"219F"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow","alternative":"right two headed arrow","short":"two headed right arrow"},"mathspeak":{"default":"two headed right-arrow","sbrief":"two headed R arrow"}},"key":"21A0"},{"category":"So","mappings":{"default":{"default":"downwards two headed arrow","alternative":"down two headed arrow","short":"two headed down arrow"},"mathspeak":{"default":"two headed down-arrow","sbrief":"two headed D arrow"}},"key":"21A1"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with tail","short":"left arrow with tail"},"mathspeak":{"default":"left-arrow with tail","sbrief":"L arrow with tail"}},"key":"21A2"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with tail","short":"right arrow with tail"},"mathspeak":{"default":"right-arrow with tail","sbrief":"R arrow with tail"}},"key":"21A3"},{"category":"So","mappings":{"default":{"default":"leftwards arrow from bar","short":"left arrow from bar"},"mathspeak":{"default":"left-arrow from bar","sbrief":"L arrow from bar"}},"key":"21A4"},{"category":"So","mappings":{"default":{"default":"upwards arrow from bar","short":"up arrow from bar"},"mathspeak":{"default":"up-arrow from bar","sbrief":"U arrow from bar"}},"key":"21A5"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow from bar","short":"right arrow from bar"},"mathspeak":{"default":"right-arrow from bar","sbrief":"R arrow from bar"}},"key":"21A6"},{"category":"So","mappings":{"default":{"default":"downwards arrow from bar","short":"down arrow from bar"},"mathspeak":{"default":"down-arrow from bar","sbrief":"D arrow from bar"}},"key":"21A7"},{"category":"So","mappings":{"default":{"default":"up down arrow with base"},"mathspeak":{"default":"up down-arrow with base","sbrief":"U D arrow with base"}},"key":"21A8"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with hook","short":"left arrow with hook"},"mathspeak":{"default":"left-arrow with hook","sbrief":"L arrow with hook"}},"key":"21A9"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with hook","short":"right arrow with hook"},"mathspeak":{"default":"right-arrow with hook","sbrief":"R arrow with hook"}},"key":"21AA"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with loop","short":"left arrow with loop"},"mathspeak":{"default":"left-arrow with loop","sbrief":"L arrow with loop"}},"key":"21AB"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with loop","short":"right arrow with loop"},"mathspeak":{"default":"right-arrow with loop","sbrief":"R arrow with loop"}},"key":"21AC"},{"category":"So","mappings":{"default":{"default":"left right wave arrow"},"mathspeak":{"sbrief":"L R wave arrow"}},"key":"21AD"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with stroke"},"mathspeak":{"default":"left-right-arrow with stroke","sbrief":"L R arrow with stroke"}},"key":"21AE"},{"category":"So","mappings":{"default":{"default":"downwards zigzag arrow","short":"down zigzag arrow"},"mathspeak":{"sbrief":"d zigzag arrow"}},"key":"21AF"},{"category":"So","mappings":{"default":{"default":"upwards arrow with tip leftwards","short":"up arrow with tip left"},"mathspeak":{"default":"up-arrow with tip left","sbrief":"U arrow with tip left"}},"key":"21B0"},{"category":"So","mappings":{"default":{"default":"upwards arrow with tip rightwards","short":"up arrow with tip right"},"mathspeak":{"default":"up-arrow with tip right","sbrief":"U arrow with tip right"}},"key":"21B1"},{"category":"So","mappings":{"default":{"default":"downwards arrow with tip leftwards","short":"down arrow with tip left"},"mathspeak":{"default":"down-arrow with tip left","sbrief":"D arrow with tip left"}},"key":"21B2"},{"category":"So","mappings":{"default":{"default":"downwards arrow with tip rightwards","short":"down arrow with tip right"},"mathspeak":{"default":"down-arrow with tip right","sbrief":"D arrow with tip right"}},"key":"21B3"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with corner downwards","short":"right arrow with corner down"},"mathspeak":{"default":"right-arrow with corner down","sbrief":"R arrow with corner down"}},"key":"21B4"},{"category":"So","mappings":{"default":{"default":"downwards arrow with corner leftwards","short":"down arrow with corner left"},"mathspeak":{"default":"down-arrow with corner left","sbrief":"D arrow with corner left"}},"key":"21B5"},{"category":"So","mappings":{"default":{"default":"anticlockwise top semicircle arrow"}},"key":"21B6"},{"category":"So","mappings":{"default":{"default":"clockwise top semicircle arrow"}},"key":"21B7"},{"category":"So","mappings":{"default":{"default":"north west arrow to long bar","short":"up left arrow to long bar"},"mathspeak":{"default":"up left-arrow to long bar","sbrief":"U L arrow to long bar"}},"key":"21B8"},{"category":"So","mappings":{"default":{"default":"leftwards arrow to bar over rightwards arrow to bar","short":"left arrow to bar over right arrow to bar"},"mathspeak":{"default":"left-arrow to bar over right-arrow to bar","sbrief":"L arrow to bar over R arrow to bar"}},"key":"21B9"},{"category":"So","mappings":{"default":{"default":"anticlockwise open circle arrow"}},"key":"21BA"},{"category":"So","mappings":{"default":{"default":"clockwise open circle arrow"}},"key":"21BB"},{"category":"So","mappings":{"default":{"default":"rightwards arrow over leftwards arrow","short":"right arrow over left arrow"},"mathspeak":{"default":"right-arrow over left-arrow","sbrief":"R arrow over L arrow"}},"key":"21C4"},{"category":"So","mappings":{"default":{"default":"upwards arrow leftwards of downwards arrow","short":"up arrow left of down arrow"},"mathspeak":{"default":"up-arrow left of down-arrow","sbrief":"U arrow L of D arrow"}},"key":"21C5"},{"category":"So","mappings":{"default":{"default":"leftwards arrow over rightwards arrow","short":"left arrow over right arrow"},"mathspeak":{"default":"left-arrow over right-arrow","sbrief":"L arrow over R arrow"}},"key":"21C6"},{"category":"So","mappings":{"default":{"default":"leftwards paired arrows","short":"left paired arrows"},"mathspeak":{"sbrief":"L paired arrows"}},"key":"21C7"},{"category":"So","mappings":{"default":{"default":"upwards paired arrows","short":"up paired arrows"},"mathspeak":{"sbrief":"U paired arrows"}},"key":"21C8"},{"category":"So","mappings":{"default":{"default":"rightwards paired arrows","short":"right paired arrows"},"mathspeak":{"sbrief":"R paired arrows"}},"key":"21C9"},{"category":"So","mappings":{"default":{"default":"downwards paired arrows","short":"down paired arrows"},"mathspeak":{"sbrief":"D paired arrows"}},"key":"21CA"},{"category":"So","mappings":{"default":{"default":"leftwards double arrow with stroke","short":"left double arrow with stroke"},"mathspeak":{"sbrief":"L double arrow with stroke"}},"key":"21CD"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow with stroke"},"mathspeak":{"sbrief":"L R double arrow with stroke"}},"key":"21CE"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow with stroke","short":"right double arrow with stroke"},"mathspeak":{"sbrief":"R double arrow with stroke"}},"key":"21CF"},{"category":"So","mappings":{"default":{"default":"leftwards double arrow","short":"left double arrow"},"mathspeak":{"sbrief":"L double arrow"}},"key":"21D0"},{"category":"So","mappings":{"default":{"default":"upwards double arrow","short":"up double arrow"},"mathspeak":{"sbrief":"U double arrow"}},"key":"21D1"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow","short":"right double arrow"},"mathspeak":{"sbrief":"R double arrow"}},"key":"21D2"},{"category":"So","mappings":{"default":{"default":"downwards double arrow","short":"down double arrow"},"mathspeak":{"sbrief":"d double arrow"}},"key":"21D3"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow"},"mathspeak":{"sbrief":"L R double arrow"}},"key":"21D4"},{"category":"So","mappings":{"default":{"default":"up down double arrow"},"mathspeak":{"sbrief":"U d double arrow"}},"key":"21D5"},{"category":"So","mappings":{"default":{"default":"north west double arrow","short":"up left double arrow"},"mathspeak":{"sbrief":"U L double arrow"}},"key":"21D6"},{"category":"So","mappings":{"default":{"default":"north east double arrow","short":"up right double arrow"},"mathspeak":{"sbrief":"U R double arrow"}},"key":"21D7"},{"category":"So","mappings":{"default":{"default":"south east double arrow","short":"down right double arrow"},"mathspeak":{"sbrief":"d R double arrow"}},"key":"21D8"},{"category":"So","mappings":{"default":{"default":"south west double arrow","short":"down left double arrow"},"mathspeak":{"sbrief":"d L double arrow"}},"key":"21D9"},{"category":"So","mappings":{"default":{"default":"leftwards triple arrow","short":"left triple arrow"},"mathspeak":{"sbrief":"L triple arrow"}},"key":"21DA"},{"category":"So","mappings":{"default":{"default":"rightwards triple arrow","short":"right triple arrow"},"mathspeak":{"sbrief":"r triple arrow"}},"key":"21DB"},{"category":"So","mappings":{"default":{"default":"leftwards squiggle arrow","short":"left squiggle arrow"},"mathspeak":{"sbrief":"L squiggle arrow"}},"key":"21DC"},{"category":"So","mappings":{"default":{"default":"rightwards squiggle arrow","short":"right squiggle arrow"},"mathspeak":{"sbrief":"r squiggle arrow"}},"key":"21DD"},{"category":"So","mappings":{"default":{"default":"upwards arrow with double stroke","short":"up arrow with double stroke"},"mathspeak":{"default":"up-arrow with double stroke","sbrief":"U arrow with double stroke"}},"key":"21DE"},{"category":"So","mappings":{"default":{"default":"downwards arrow with double stroke","short":"down arrow with double stroke"},"mathspeak":{"default":"down-arrow with double stroke","sbrief":"D arrow with double stroke"}},"key":"21DF"},{"category":"So","mappings":{"default":{"default":"leftwards dasheD arrow","short":"left dasheD arrow"},"mathspeak":{"sbrief":"L dasheD arrow"}},"key":"21E0"},{"category":"So","mappings":{"default":{"default":"upwards dasheD arrow","short":"up dasheD arrow"},"mathspeak":{"sbrief":"U dasheD arrow"}},"key":"21E1"},{"category":"So","mappings":{"default":{"default":"rightwards dasheD arrow","short":"right dasheD arrow"},"mathspeak":{"sbrief":"r dasheD arrow"}},"key":"21E2"},{"category":"So","mappings":{"default":{"default":"downwards dasheD arrow","short":"down dasheD arrow"},"mathspeak":{"sbrief":"d dasheD arrow"}},"key":"21E3"},{"category":"So","mappings":{"default":{"default":"leftwards arrow to bar","short":"left arrow to bar"},"mathspeak":{"default":"left-arrow to bar","sbrief":"L arrow to bar"}},"key":"21E4"},{"category":"So","mappings":{"default":{"default":"rightwards arrow to bar","short":"right arrow to bar"},"mathspeak":{"default":"right-arrow to bar","sbrief":"R arrow to bar"}},"key":"21E5"},{"category":"So","mappings":{"default":{"default":"leftwards white arrow","short":"white left arrow"},"mathspeak":{"default":"white left-arrow","sbrief":"white L arrow"}},"key":"21E6"},{"category":"So","mappings":{"default":{"default":"upwards white arrow","short":"white up arrow"},"mathspeak":{"default":"white up-arrow","sbrief":"white U arrow"}},"key":"21E7"},{"category":"So","mappings":{"default":{"default":"rightwards white arrow","short":"white right arrow"},"mathspeak":{"default":"white right-arrow","sbrief":"white R arrow"}},"key":"21E8"},{"category":"So","mappings":{"default":{"default":"downwards white arrow","short":"white down arrow"},"mathspeak":{"default":"white down-arrow","sbrief":"white D arrow"}},"key":"21E9"},{"category":"So","mappings":{"default":{"default":"upwards white arrow from bar","short":"white up arrow from bar"},"mathspeak":{"default":"white up-arrow from bar","sbrief":"white U arrow from bar"}},"key":"21EA"},{"category":"So","mappings":{"default":{"default":"upwards white arrow on pedestal","alternative":"up white arrow on pedestal","short":"white up arrow on pedestal"},"mathspeak":{"default":"white up-arrow on pedestal","sbrief":"white U arrow on pedestal"}},"key":"21EB"},{"category":"So","mappings":{"default":{"default":"upwards white arrow on pedestal with horizontal bar","alternative":"up white arrow on pedestal with horizontal bar","short":"white up arrow on pedestal with horizontal bar"},"mathspeak":{"default":"white up-arrow on pedestal with horizontal bar","sbrief":"white U arrow on pedestal with horizontal bar"}},"key":"21EC"},{"category":"So","mappings":{"default":{"default":"upwards white arrow on pedestal with vertical bar","alternative":"up white arrow on pedestal with vertical bar","short":"white up arrow on pedestal with vertical bar"},"mathspeak":{"default":"white up-arrow on pedestal with vertical bar","sbrief":"white U arrow on pedestal with vertical bar"}},"key":"21ED"},{"category":"So","mappings":{"default":{"default":"upwards white double arrow","alternative":"up white double arrow","short":"white double up arrow"},"mathspeak":{"default":"white double up-arrow","sbrief":"white double U arrow"}},"key":"21EE"},{"category":"So","mappings":{"default":{"default":"upwards white double arrow on pedestal","alternative":"up white double arrow on pedestal","short":"white double up arrow on pedestal"},"mathspeak":{"default":"white double up-arrow on pedestal","sbrief":"white double U arrow on pedestal"}},"key":"21EF"},{"category":"So","mappings":{"default":{"default":"rightwards white arrow from wall","alternative":"right white arrow from wall","short":"white right arrow from wall"},"mathspeak":{"default":"white right-arrow from wall","sbrief":"white R arrow from wall"}},"key":"21F0"},{"category":"So","mappings":{"default":{"default":"north west arrow to corner"}},"key":"21F1"},{"category":"So","mappings":{"default":{"default":"south east arrow to corner"}},"key":"21F2"},{"category":"So","mappings":{"default":{"default":"up down white arrow"},"mathspeak":{"sbrief":"U d white arrow"}},"key":"21F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with small circle"},"mathspeak":{"default":"right-arrow with small circle","sbrief":"R arrow with small circle"}},"key":"21F4"},{"category":"Sm","mappings":{"default":{"default":"down arrow leftwards of upwards arrow","short":"down arrow left of up arrow"},"mathspeak":{"default":"down-arrow left of up-arrow","sbrief":"D arrow l of U arrow"}},"key":"21F5"},{"category":"Sm","mappings":{"default":{"default":"three rightwards arrows","short":"three right arrows"},"mathspeak":{"default":"three right-arrows","sbrief":"three R arrows"}},"key":"21F6"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with vertical stroke","short":"left arrow with vertical stroke"},"mathspeak":{"default":"left-arrow with vertical stroke","sbrief":"L arrow with vertical stroke"}},"key":"21F7"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with vertical stroke","short":"right arrow with vertical stroke"},"mathspeak":{"default":"right-arrow with vertical stroke","sbrief":"R arrow with vertical stroke"}},"key":"21F8"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with vertical stroke"},"mathspeak":{"default":"left-right-arrow with vertical stroke","sbrief":"L R arrow with vertical stroke"}},"key":"21F9"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with double vertical stroke","short":"left arrow with double vertical stroke"},"mathspeak":{"default":"left-arrow with double vertical stroke","sbrief":"L arrow with double vertical stroke"}},"key":"21FA"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with double vertical stroke","short":"right arrow with double vertical stroke"},"mathspeak":{"default":"right-arrow with double vertical stroke","sbrief":"R arrow with double vertical stroke"}},"key":"21FB"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with double vertical stroke"},"mathspeak":{"default":"left-right-arrow with double vertical stroke","sbrief":"L R arrow with double vertical stroke"}},"key":"21FC"},{"category":"Sm","mappings":{"default":{"default":"leftwards open headed arrow","short":"left open headed arrow"},"mathspeak":{"sbrief":"l open headed arrow"}},"key":"21FD"},{"category":"Sm","mappings":{"default":{"default":"rightwards open headed arrow","short":"right open headed arrow"},"mathspeak":{"sbrief":"r open headed arrow"}},"key":"21FE"},{"category":"Sm","mappings":{"default":{"default":"left right open headed arrow"},"mathspeak":{"sbrief":"L R open headed arrow"}},"key":"21FF"},{"category":"So","mappings":{"default":{"default":"electric arrow"}},"key":"2301"},{"category":"So","mappings":{"default":{"default":"up arrowhead"},"mathspeak":{"default":"up-arrowhead","sbrief":"U arrowhead"}},"key":"2303"},{"category":"So","mappings":{"default":{"default":"down arrowhead"},"mathspeak":{"default":"down-arrowhead","sbrief":"D arrowhead"}},"key":"2304"},{"category":"So","mappings":{"default":{"default":"up arrowhead between two horizontal bars","alternative":"enter key"},"mathspeak":{"default":"up-arrowhead between two horizontal bars","sbrief":"U arrowhead between two horizontal bars"}},"key":"2324"},{"category":"So","mappings":{"default":{"default":"broken circle with northwest arrow"}},"key":"238B"},{"category":"So","mappings":{"default":{"default":"heavy wide headed rightwards arrow","short":"heavy wide headed right arrow"},"mathspeak":{"default":"heavy wide headed right-arrow","sbrief":"heavy wide headed R arrow"}},"key":"2794"},{"category":"So","mappings":{"default":{"default":"heavy south east arrow","short":"heavy down right arrow"},"mathspeak":{"default":"heavy down right-arrow","sbrief":"heavy d R arrow"}},"key":"2798"},{"category":"So","mappings":{"default":{"default":"heavy rightwards arrow","short":"heavy right arrow"},"mathspeak":{"default":"heavy right-arrow","sbrief":"heavy R arrow"}},"key":"2799"},{"category":"So","mappings":{"default":{"default":"heavy north east arrow","short":"heavy up right arrow"},"mathspeak":{"default":"heavy up right-arrow","sbrief":"heavy U R arrow"}},"key":"279A"},{"category":"So","mappings":{"default":{"default":"drafting point rightwards arrow","short":"drafting point right arrow"},"mathspeak":{"default":"drafting point right-arrow","sbrief":"drafting point R arrow"}},"key":"279B"},{"category":"So","mappings":{"default":{"default":"heavy round tipped rightwards arrow","short":"heavy round tipped right arrow"},"mathspeak":{"default":"heavy round tipped right-arrow","sbrief":"heavy round tipped R arrow"}},"key":"279C"},{"category":"So","mappings":{"default":{"default":"triangle headed rightwards arrow","short":"triangle headed right arrow"},"mathspeak":{"default":"triangle headed right-arrow","sbrief":"triangle headed R arrow"}},"key":"279D"},{"category":"So","mappings":{"default":{"default":"heavy triangle headed rightwards arrow","short":"heavy triangle headed right arrow"},"mathspeak":{"default":"heavy triangle headed right-arrow","sbrief":"heavy triangle headed R arrow"}},"key":"279E"},{"category":"So","mappings":{"default":{"default":"dashed triangle headed rightwards arrow","short":"dashed triangle headed right arrow"},"mathspeak":{"default":"dashed triangle headed right-arrow","sbrief":"dashed triangle headed R arrow"}},"key":"279F"},{"category":"So","mappings":{"default":{"default":"heavy dashed triangle headed rightwards arrow","short":"heavy dashed triangle headed right arrow"},"mathspeak":{"default":"heavy dashed triangle headed right-arrow","sbrief":"heavy dashed triangle headed R arrow"}},"key":"27A0"},{"category":"So","mappings":{"default":{"default":"black rightwards arrow","short":"black right arrow"},"mathspeak":{"default":"black right-arrow","sbrief":"black R arrow"}},"key":"27A1"},{"category":"So","mappings":{"default":{"default":"three d top lighted rightwards arrowhead","short":"three d top lighted right arrowhead"},"mathspeak":{"default":"three d top lighted right-arrowhead","sbrief":"three d top lighted R arrowhead"}},"key":"27A2"},{"category":"So","mappings":{"default":{"default":"three d bottom lighted rightwards arrowhead","short":"three d bottom lighted right arrowhead"},"mathspeak":{"default":"three d bottom lighted right-arrowhead","sbrief":"three d bottom lighted R arrowhead"}},"key":"27A3"},{"category":"So","mappings":{"default":{"default":"black rightwards arrowhead","short":"black right arrowhead"},"mathspeak":{"default":"black right-arrowhead","sbrief":"black R arrowhead"}},"key":"27A4"},{"category":"So","mappings":{"default":{"default":"heavy black curved downwards and rightwards arrow","short":"heavy black curved down and right arrow"},"mathspeak":{"default":"heavy black curved down and right-arrow","sbrief":"heavy black curved d and R arrow"}},"key":"27A5"},{"category":"So","mappings":{"default":{"default":"heavy black curved upwards and rightwards arrow","short":"heavy black curved up and right arrow"},"mathspeak":{"default":"heavy black curved up and right-arrow","sbrief":"heavy black curved U and R arrow"}},"key":"27A6"},{"category":"So","mappings":{"default":{"default":"squat black rightwards arrow","short":"squat black right arrow"},"mathspeak":{"default":"squat black right-arrow","sbrief":"squat black R arrow"}},"key":"27A7"},{"category":"So","mappings":{"default":{"default":"heavy concave pointed black rightwards arrow","short":"heavy concave pointed black right arrow"},"mathspeak":{"default":"heavy concave pointed black right-arrow","sbrief":"heavy concave pointed black R arrow"}},"key":"27A8"},{"category":"So","mappings":{"default":{"default":"right shaded white rightwards arrow","short":"right shaded white right arrow"},"mathspeak":{"default":"right shaded white right-arrow","sbrief":"right shaded white R arrow"}},"key":"27A9"},{"category":"So","mappings":{"default":{"default":"left shaded white rightwards arrow","short":"left shaded white right arrow"},"mathspeak":{"default":"left shaded white right-arrow","sbrief":"left shaded white R arrow"}},"key":"27AA"},{"category":"So","mappings":{"default":{"default":"back tilted shadowed white rightwards arrow","short":"back tilted shadowed white right arrow"},"mathspeak":{"default":"back tilted shadowed white right-arrow","sbrief":"back tilted shadowed white R arrow"}},"key":"27AB"},{"category":"So","mappings":{"default":{"default":"front tilted shadowed white rightwards arrow","short":"front tilted shadowed white right arrow"},"mathspeak":{"default":"front tilted shadowed white right-arrow","sbrief":"front tilted shadowed white R arrow"}},"key":"27AC"},{"category":"So","mappings":{"default":{"default":"heavy lower right shadowed white rightwards arrow","short":"heavy lower right shadowed white right arrow"},"mathspeak":{"default":"heavy lower right shadowed white right-arrow","sbrief":"heavy lower right shadowed white R arrow"}},"key":"27AD"},{"category":"So","mappings":{"default":{"default":"heavy upper right shadowed white rightwards arrow","short":"heavy upper right shadowed white right arrow"},"mathspeak":{"default":"heavy upper right shadowed white right-arrow","sbrief":"heavy upper right shadowed white R arrow"}},"key":"27AE"},{"category":"So","mappings":{"default":{"default":"notched lower right shadowed white rightwards arrow","short":"notched lower right shadowed white right arrow"},"mathspeak":{"default":"notched lower right shadowed white right-arrow","sbrief":"notched lower right shadowed white R arrow"}},"key":"27AF"},{"category":"So","mappings":{"default":{"default":"notched upper right shadowed white rightwards arrow","short":"notched upper right shadowed white right arrow"},"mathspeak":{"default":"notched upper right shadowed white right-arrow","sbrief":"notched upper right shadowed white R arrow"}},"key":"27B1"},{"category":"So","mappings":{"default":{"default":"circled heavy white rightwards arrow","short":"circled heavy white right arrow"},"mathspeak":{"default":"circled heavy white right-arrow","sbrief":"circled heavy white R arrow"}},"key":"27B2"},{"category":"So","mappings":{"default":{"default":"white feathered rightwards arrow","short":"white feathered right arrow"},"mathspeak":{"default":"white feathered right-arrow","sbrief":"white feathered R arrow"}},"key":"27B3"},{"category":"So","mappings":{"default":{"default":"black feathered south east arrow","short":"black feathered down right arrow"},"mathspeak":{"default":"black feathered down right-arrow","sbrief":"black feathered d R arrow"}},"key":"27B4"},{"category":"So","mappings":{"default":{"default":"black feathered rightwards arrow","short":"black feathered right arrow"},"mathspeak":{"default":"black feathered right-arrow","sbrief":"black feathered R arrow"}},"key":"27B5"},{"category":"So","mappings":{"default":{"default":"black feathered north east arrow","short":"black feathered up right arrow"},"mathspeak":{"default":"black feathered up right-arrow","sbrief":"black feathered U R arrow"}},"key":"27B6"},{"category":"So","mappings":{"default":{"default":"heavy black feathered south east arrow","short":"heavy black feathered down right arrow"},"mathspeak":{"default":"heavy black feathered down right-arrow","sbrief":"heavy black feathered d R arrow"}},"key":"27B7"},{"category":"So","mappings":{"default":{"default":"heavy black feathered rightwards arrow","short":"heavy black feathered right arrow"},"mathspeak":{"default":"heavy black feathered right-arrow","sbrief":"heavy black feathered R arrow"}},"key":"27B8"},{"category":"So","mappings":{"default":{"default":"heavy black feathered north east arrow","short":"heavy black feathered up right arrow"},"mathspeak":{"default":"heavy black feathered up right-arrow","sbrief":"heavy black feathered U R arrow"}},"key":"27B9"},{"category":"So","mappings":{"default":{"default":"teardrop barbed rightwards arrow","short":"teardrop barbed right arrow"},"mathspeak":{"default":"teardrop barbed right-arrow","sbrief":"teardrop barbed R arrow"}},"key":"27BA"},{"category":"So","mappings":{"default":{"default":"heavy teardrop shanked rightwards arrow","short":"heavy teardrop shanked right arrow"},"mathspeak":{"default":"heavy teardrop shanked right-arrow","sbrief":"heavy teardrop shanked R arrow"}},"key":"27BB"},{"category":"So","mappings":{"default":{"default":"wedge tailed rightwards arrow","short":"wedge tailed right arrow"},"mathspeak":{"default":"wedge tailed right-arrow","sbrief":"wedge tailed R arrow"}},"key":"27BC"},{"category":"So","mappings":{"default":{"default":"heavy wedge tailed rightwards arrow","short":"heavy wedge tailed right arrow"},"mathspeak":{"default":"heavy wedge tailed right-arrow","sbrief":"heavy wedge tailed R arrow"}},"key":"27BD"},{"category":"So","mappings":{"default":{"default":"open outlined rightwards arrow","short":"open outlined right arrow"},"mathspeak":{"default":"open outlined right-arrow","sbrief":"open outlined R arrow"}},"key":"27BE"},{"category":"Sm","mappings":{"default":{"default":"upwards quadruple arrow","short":"up quadruple arrow"},"mathspeak":{"sbrief":"U quadruple arrow"}},"key":"27F0"},{"category":"Sm","mappings":{"default":{"default":"downwards quadruple arrow","short":"down quadruple arrow"},"mathspeak":{"sbrief":"d quadrule arrow"}},"key":"27F1"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise gapped circle arrow"}},"key":"27F2"},{"category":"Sm","mappings":{"default":{"default":"clockwise gapped circle arrow"}},"key":"27F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with circled plus"},"mathspeak":{"default":"right-arrow with circled plus","sbrief":"R arrow with circled plus"}},"key":"27F4"},{"category":"Sm","mappings":{"default":{"default":"long leftwards arrow","short":"long left arrow"},"mathspeak":{"default":"long left-arrow","sbrief":"long L arrow"}},"key":"27F5"},{"category":"Sm","mappings":{"default":{"default":"long rightwards arrow","short":"long right arrow"},"mathspeak":{"default":"long right-arrow","sbrief":"long R arrow"}},"key":"27F6"},{"category":"Sm","mappings":{"default":{"default":"long left right arrow"},"mathspeak":{"default":"long left-right-arrow","sbrief":"long L R arrow"}},"key":"27F7"},{"category":"Sm","mappings":{"default":{"default":"long leftwards double arrow","short":"long left double arrow"},"mathspeak":{"sbrief":"long l double arrow"}},"key":"27F8"},{"category":"Sm","mappings":{"default":{"default":"long rightwards double arrow","short":"long right double arrow"},"mathspeak":{"sbrief":"long R double arrow"}},"key":"27F9"},{"category":"Sm","mappings":{"default":{"default":"long left right double arrow"},"mathspeak":{"sbrief":"long L R double arrow"}},"key":"27FA"},{"category":"Sm","mappings":{"default":{"default":"long leftwards arrow from bar","short":"long left arrow from bar"},"mathspeak":{"default":"long left-arrow from bar","sbrief":"long L arrow from bar"}},"key":"27FB"},{"category":"Sm","mappings":{"default":{"default":"long rightwards arrow from bar","short":"long right arrow from bar"},"mathspeak":{"default":"long right-arrow from bar","sbrief":"long R arrow from bar"}},"key":"27FC"},{"category":"Sm","mappings":{"default":{"default":"long leftwards double arrow from bar","short":"long left double arrow from bar"},"mathspeak":{"sbrief":"long l double arrow from bar"}},"key":"27FD"},{"category":"Sm","mappings":{"default":{"default":"long rightwards double arrow from bar","short":"long right double arrow from bar"},"mathspeak":{"sbrief":"long R double arrow from bar"}},"key":"27FE"},{"category":"Sm","mappings":{"default":{"default":"long rightwards squiggle arrow","short":"long right squiggle arrow"},"mathspeak":{"sbrief":"long r squiggle arrow"}},"key":"27FF"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with vertical stroke","alternative":"right two headed arrow with vertical stroke","short":"two headed right arrow with vertical stroke"},"mathspeak":{"default":"two headed right-arrow with vertical stroke","sbrief":"two headed R arrow with vertical stroke"}},"key":"2900"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with double vertical stroke","alternative":"right two headed arrow with double vertical stroke","short":"two headed right arrow with double vertical stroke"},"mathspeak":{"default":"two headed right-arrow with double vertical stroke","sbrief":"two headed R arrow with double vertical stroke"}},"key":"2901"},{"category":"Sm","mappings":{"default":{"default":"leftwards double arrow with vertical stroke","alternative":"left double arrow with vertical stroke","short":"double left arrow with vertical stroke"},"mathspeak":{"default":"double left-arrow with vertical stroke","sbrief":"double L arrow with vertical stroke"}},"key":"2902"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow with vertical stroke","alternative":"right double arrow with vertical stroke","short":"double right arrow with vertical stroke"},"mathspeak":{"default":"double right-arrow with vertical stroke","sbrief":"double R arrow with vertical stroke"}},"key":"2903"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow with vertical stroke","short":"double left right arrow with vertical stroke"},"mathspeak":{"default":"double left-right-arrow with vertical stroke","sbrief":"double L R arrow with vertical stroke"}},"key":"2904"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow from bar","alternative":"right two headed arrow from bar","short":"two headed right arrow from bar"},"mathspeak":{"default":"two headed right-arrow from bar","sbrief":"two headed R arrow from bar"}},"key":"2905"},{"category":"Sm","mappings":{"default":{"default":"leftwards double arrow from bar","alternative":"left double arrow from bar","short":"double left arrow from bar"},"mathspeak":{"default":"double left-arrow from bar","sbrief":"double L arrow from bar"}},"key":"2906"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow from bar","alternative":"right double arrow from bar","short":"double right arrow from bar"},"mathspeak":{"default":"double right-arrow from bar","sbrief":"double R arrow from bar"}},"key":"2907"},{"category":"Sm","mappings":{"default":{"default":"downwards arrow with horizontal stroke","alternative":"down arrow with horizontal stroke","short":"arrow down with horizontal stroke"}},"key":"2908"},{"category":"Sm","mappings":{"default":{"default":"upwards arrow with horizontal stroke","short":"up arrow with horizontal stroke"},"mathspeak":{"default":"up-arrow with horizontal stroke","sbrief":"U arrow with horizontal stroke"}},"key":"2909"},{"category":"Sm","mappings":{"default":{"default":"upwards triple arrow","short":"up triple arrow"},"mathspeak":{"sbrief":"U triple arrow"}},"key":"290A"},{"category":"Sm","mappings":{"default":{"default":"downwards triple arrow","short":"down triple arrow"},"mathspeak":{"sbrief":"d triple arrow"}},"key":"290B"},{"category":"Sm","mappings":{"default":{"default":"leftwards double dash arrow","short":"left double dash arrow"},"mathspeak":{"sbrief":"l double dash arrow"}},"key":"290C"},{"category":"Sm","mappings":{"default":{"default":"rightwards double dash arrow","short":"right double dash arrow"},"mathspeak":{"sbrief":"R double dash arrow"}},"key":"290D"},{"category":"Sm","mappings":{"default":{"default":"leftwards triple dash arrow","short":"left triple dash arrow"},"mathspeak":{"sbrief":"l triple dash arrow"}},"key":"290E"},{"category":"Sm","mappings":{"default":{"default":"rightwards triple dash arrow","short":"right triple dash arrow"},"mathspeak":{"sbrief":"r triple dash arrow"}},"key":"290F"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed triple dash arrow","short":"right two headed triple dash arrow"},"mathspeak":{"sbrief":"r two headed triple dash arrow"}},"key":"2910"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with dotted stem","short":"right arrow with dotted stem"},"mathspeak":{"default":"right-arrow with dotted stem","sbrief":"R arrow with dotted stem"}},"key":"2911"},{"category":"Sm","mappings":{"default":{"default":"upwards arrow to bar","short":"up arrow to bar"},"mathspeak":{"default":"up-arrow to bar","sbrief":"U arrow to bar"}},"key":"2912"},{"category":"Sm","mappings":{"default":{"default":"downwards arrow to bar","short":"down arrow to bar"},"mathspeak":{"default":"down-arrow to bar","sbrief":"D arrow to bar"}},"key":"2913"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with tail with vertical stroke","short":"right arrow with tail with vertical stroke"},"mathspeak":{"default":"right-arrow with tail with vertical stroke","sbrief":"R arrow with tail with vertical stroke"}},"key":"2914"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with tail with double vertical stroke","short":"right arrow with tail with double vertical stroke"},"mathspeak":{"default":"right-arrow with tail with double vertical stroke","sbrief":"R arrow with tail with double vertical stroke"}},"key":"2915"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with tail","short":"right two headed arrow with tail"},"mathspeak":{"sbrief":"r two headed arrow with tail"}},"key":"2916"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with tail with vertical stroke","short":"right two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with vertical stroke"}},"key":"2917"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with tail with double vertical stroke","short":"right two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with double vertical stroke"}},"key":"2918"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow tail","short":"left arrow tail"},"mathspeak":{"default":"left-arrow tail","sbrief":"L arrow tail"}},"key":"2919"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow tail","short":"right arrow tail"},"mathspeak":{"default":"right-arrow tail","sbrief":"R arrow tail"}},"key":"291A"},{"category":"Sm","mappings":{"default":{"default":"leftwards double arrow tail","short":"left double arrow tail"},"mathspeak":{"sbrief":"l double arrow tail"}},"key":"291B"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow tail","short":"right double arrow tail"},"mathspeak":{"sbrief":"R double arrow tail"}},"key":"291C"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow to black diamond","short":"left arrow to black diamond"},"mathspeak":{"default":"left-arrow to black diamond","sbrief":"L arrow to black diamond"}},"key":"291D"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow to black diamond","short":"right arrow to black diamond"},"mathspeak":{"default":"right-arrow to black diamond","sbrief":"R arrow to black diamond"}},"key":"291E"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow from bar to black diamond","short":"left arrow from bar to black diamond"},"mathspeak":{"default":"left-arrow from bar to black diamond","sbrief":"L arrow from bar to black diamond"}},"key":"291F"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow from bar to black diamond","short":"right arrow from bar to black diamond"},"mathspeak":{"default":"right-arrow from bar to black diamond","sbrief":"R arrow from bar to black diamond"}},"key":"2920"},{"category":"Sm","mappings":{"default":{"default":"north west and south east arrow"}},"key":"2921"},{"category":"Sm","mappings":{"default":{"default":"north east and south west arrow"}},"key":"2922"},{"category":"Sm","mappings":{"default":{"default":"north west arrow with hook"}},"key":"2923"},{"category":"Sm","mappings":{"default":{"default":"north east arrow with hook"}},"key":"2924"},{"category":"Sm","mappings":{"default":{"default":"south east arrow with hook"}},"key":"2925"},{"category":"Sm","mappings":{"default":{"default":"south west arrow with hook"}},"key":"2926"},{"category":"Sm","mappings":{"default":{"default":"north west arrow and north east arrow"}},"key":"2927"},{"category":"Sm","mappings":{"default":{"default":"north east arrow and south east arrow"}},"key":"2928"},{"category":"Sm","mappings":{"default":{"default":"south east arrow and south west arrow"}},"key":"2929"},{"category":"Sm","mappings":{"default":{"default":"south west arrow and north west arrow"}},"key":"292A"},{"category":"Sm","mappings":{"default":{"default":"south east arrow crossing north east arrow"}},"key":"292D"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing south east arrow"}},"key":"292E"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing north east arrow"}},"key":"292F"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing south east arrow"}},"key":"2930"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing north west arrow"}},"key":"2931"},{"category":"Sm","mappings":{"default":{"default":"north west arrow crossing north east arrow"}},"key":"2932"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly right"}},"key":"2933"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing rightwards then curving upwards","short":"arrow pointing right then curving up"}},"key":"2934"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing rightwards then curving downwards","short":"arrow pointing right then curving down"}},"key":"2935"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing downwards then curving leftwards","short":"arrow pointing down then curving left"}},"key":"2936"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing downwards then curving rightwards","short":"arrow pointing down then curving right"}},"key":"2937"},{"category":"Sm","mappings":{"default":{"default":"right side arc clockwise arrow"},"mathspeak":{"sbrief":"r side arc clockwise arrow"}},"key":"2938"},{"category":"Sm","mappings":{"default":{"default":"left side arc anticlockwise arrow"},"mathspeak":{"sbrief":"l side arc anticlockwise arrow"}},"key":"2939"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow"}},"key":"293A"},{"category":"Sm","mappings":{"default":{"default":"bottom arc anticlockwise arrow"}},"key":"293B"},{"category":"Sm","mappings":{"default":{"default":"top arc clockwise arrow with minus"}},"key":"293C"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow with plus"}},"key":"293D"},{"category":"Sm","mappings":{"default":{"default":"lower right semicircular clockwise arrow","short":"down right semicircular clockwise arrow"},"mathspeak":{"sbrief":"d r semicircular clockwise arrow"}},"key":"293E"},{"category":"Sm","mappings":{"default":{"default":"lower left semicircular anticlockwise arrow","short":"down left semicircular anticlockwise arrow"},"mathspeak":{"sbrief":"d l semicircular anticlockwise arrow"}},"key":"293F"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise closed circle arrow"}},"key":"2940"},{"category":"Sm","mappings":{"default":{"default":"clockwise closed circle arrow"}},"key":"2941"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above short leftwards arrow","short":"right arrow above short left arrow"},"mathspeak":{"default":"right-arrow above short left-arrow","sbrief":"R arrow above short L arrow"}},"key":"2942"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above short rightwards arrow","short":"left arrow above short right arrow"},"mathspeak":{"default":"left-arrow above short right-arrow","sbrief":"L arrow above short R arrow"}},"key":"2943"},{"category":"Sm","mappings":{"default":{"default":"short rightwards arrow above leftwards arrow","short":"short right arrow above left arrow"},"mathspeak":{"default":"short right-arrow above left-arrow","sbrief":"short R arrow above L arrow"}},"key":"2944"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with plus below","short":"right arrow with plus below"},"mathspeak":{"default":"right-arrow with plus below","sbrief":"R arrow with plus below"}},"key":"2945"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with plus below","short":"left arrow with plus below"},"mathspeak":{"default":"left-arrow with plus below","sbrief":"L arrow with plus below"}},"key":"2946"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow through x","short":"right arrow through x"},"mathspeak":{"default":"right-arrow through x","sbrief":"R arrow through x"}},"key":"2947"},{"category":"Sm","mappings":{"default":{"default":"left right arrow through small circle"},"mathspeak":{"default":"left-right-arrow through small circle","sbrief":"L R arrow through small circle"}},"key":"2948"},{"category":"Sm","mappings":{"default":{"default":"upwards two headed arrow from small circle","short":"up two headed arrow from small circle"},"mathspeak":{"sbrief":"U two headed arrow from small circle"}},"key":"2949"},{"category":"Sm","mappings":{"default":{"default":"right double arrow with rounded head"},"mathspeak":{"sbrief":"R double arrow with rounded head"}},"key":"2970"},{"category":"Sm","mappings":{"default":{"default":"equals sign above rightwards arrow","short":"equals sign above right arrow"},"mathspeak":{"default":"equals sign above right-arrow","sbrief":"equals sign above R arrow"}},"key":"2971"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above rightwards arrow","short":"tilde operator above right arrow"},"mathspeak":{"default":"tilde operator above right-arrow","sbrief":"tilde operator above R arrow"}},"key":"2972"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above tilde operator","short":"left arrow above tilde operator"},"mathspeak":{"default":"left-arrow above tilde operator","sbrief":"L arrow above tilde operator"}},"key":"2973"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above tilde operator","short":"right arrow above tilde operator"},"mathspeak":{"default":"right-arrow above tilde operator","sbrief":"R arrow above tilde operator"}},"key":"2974"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above almost equals","short":"right arrow above almost equals"},"mathspeak":{"default":"right-arrow above almost equals","sbrief":"R arrow above almost equals"}},"key":"2975"},{"category":"Sm","mappings":{"default":{"default":"less than above leftwards arrow","short":"less than above left arrow"},"mathspeak":{"default":"less than above left-arrow","sbrief":"less than above L arrow"}},"key":"2976"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow through less than","short":"left arrow through less than"},"mathspeak":{"default":"left-arrow through less than","sbrief":"L arrow through less than"}},"key":"2977"},{"category":"Sm","mappings":{"default":{"default":"greater than above rightwards arrow","short":"greater than above right arrow"},"mathspeak":{"default":"greater than above right-arrow","sbrief":"greater than above R arrow"}},"key":"2978"},{"category":"Sm","mappings":{"default":{"default":"subset above rightwards arrow","short":"subset above right arrow"},"mathspeak":{"default":"subset above right-arrow","sbrief":"subset above R arrow"}},"key":"2979"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow through subset","short":"left arrow through subset"},"mathspeak":{"default":"left-arrow through subset","sbrief":"L arrow through subset"}},"key":"297A"},{"category":"Sm","mappings":{"default":{"default":"superset above leftwards arrow","short":"superset above left arrow"},"mathspeak":{"default":"superset above left-arrow","sbrief":"suerset above L arrow"}},"key":"297B"},{"category":"Sm","mappings":{"default":{"default":"empty set with right arrow above"},"mathspeak":{"default":"empty set with right-arrow above","sbrief":"empty set with R arrow above"}},"key":"29B3"},{"category":"Sm","mappings":{"default":{"default":"empty set with left arrow above"},"mathspeak":{"default":"empty set with left-arrow above","sbrief":"empty set with L arrow above"}},"key":"29B4"},{"category":"Sm","mappings":{"default":{"default":"up arrow through circle"},"mathspeak":{"default":"up-arrow through circle","sbrief":"U arrow through circle"}},"key":"29BD"},{"category":"Sm","mappings":{"default":{"default":"black diamond with down arrow"},"mathspeak":{"default":"black diamond with down-arrow","sbrief":"black diamond with D arrow"}},"key":"29EA"},{"category":"Sm","mappings":{"default":{"default":"white circle with down arrow"},"mathspeak":{"default":"white circle with down-arrow","sbrief":"white circle with D arrow"}},"key":"29EC"},{"category":"Sm","mappings":{"default":{"default":"black circle with down arrow"},"mathspeak":{"default":"black circle with down-arrow","sbrief":"black circle with D arrow"}},"key":"29ED"},{"category":"Sm","mappings":{"default":{"default":"integral with leftwards arrow with hook","short":"integral with left arrow with hook"},"mathspeak":{"default":"integral with left-arrow with hook","sbrief":"integral with L arrow with hook"}},"key":"2A17"},{"category":"So","mappings":{"default":{"default":"north east white arrow"}},"key":"2B00"},{"category":"So","mappings":{"default":{"default":"north west white arrow"}},"key":"2B01"},{"category":"So","mappings":{"default":{"default":"south east white arrow"}},"key":"2B02"},{"category":"So","mappings":{"default":{"default":"south west white arrow"}},"key":"2B03"},{"category":"So","mappings":{"default":{"default":"left right white arrow"},"mathspeak":{"sbrief":"L R white arrow"}},"key":"2B04"},{"category":"So","mappings":{"default":{"default":"leftwards black arrow","short":"left black arrow"},"mathspeak":{"sbrief":"L black arrow"}},"key":"2B05"},{"category":"So","mappings":{"default":{"default":"upwards black arrow","short":"up black arrow"},"mathspeak":{"sbrief":"U black arrow"}},"key":"2B06"},{"category":"So","mappings":{"default":{"default":"downwards black arrow","short":"down black arrow"},"mathspeak":{"sbrief":"D black arrow"}},"key":"2B07"},{"category":"So","mappings":{"default":{"default":"north east black arrow"}},"key":"2B08"},{"category":"So","mappings":{"default":{"default":"north west black arrow"}},"key":"2B09"},{"category":"So","mappings":{"default":{"default":"south east black arrow"}},"key":"2B0A"},{"category":"So","mappings":{"default":{"default":"south west black arrow"}},"key":"2B0B"},{"category":"So","mappings":{"default":{"default":"left right black arrow"},"mathspeak":{"sbrief":"L R black arrow"}},"key":"2B0C"},{"category":"So","mappings":{"default":{"default":"up down black arrow"},"mathspeak":{"sbrief":"U D black arrow"}},"key":"2B0D"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with tip downwards","short":"right arrow with tip down"},"mathspeak":{"default":"right-arrow with tip down","sbrief":"R arrow with tip down"}},"key":"2B0E"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with tip upwards","short":"right arrow with tip up"},"mathspeak":{"default":"right-arrow with tip up","sbrief":"R arrow with tip up"}},"key":"2B0F"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with tip downwards","short":"left arrow with tip down"},"mathspeak":{"default":"left-arrow with tip down","sbrief":"L arrow with tip down"}},"key":"2B10"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with tip upwards","short":"left arrow with tip up"},"mathspeak":{"default":"left-arrow with tip up","sbrief":"L arrow with tip up"}},"key":"2B11"},{"category":"Sm","mappings":{"default":{"default":"left arrow with small circle"},"mathspeak":{"default":"left-arrow with small circle","sbrief":"L arrow with small circle"}},"key":"2B30"},{"category":"Sm","mappings":{"default":{"default":"three leftwards arrows","short":"three left arrows"},"mathspeak":{"default":"three left-arrows","sbrief":"three L arrows"}},"key":"2B31"},{"category":"Sm","mappings":{"default":{"default":"left arrow with circled plus"},"mathspeak":{"default":"left-arrow with circled plus","sbrief":"L arrow with circled plus"}},"key":"2B32"},{"category":"Sm","mappings":{"default":{"default":"long leftwards squiggle arrow","short":"long left squiggle arrow"},"mathspeak":{"sbrief":"long l squiggle arrow"}},"key":"2B33"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with vertical stroke","short":"left two headed arrow with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with vertical stroke"}},"key":"2B34"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with double vertical stroke","short":"left two headed arrow with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with double vertical stroke"}},"key":"2B35"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow from bar","short":"left two headed arrow from bar"},"mathspeak":{"sbrief":"l two headed arrow from bar"}},"key":"2B36"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed triple dash arrow","short":"left two headed triple dash arrow"},"mathspeak":{"sbrief":"l two headed triple dash arrow"}},"key":"2B37"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with dotted stem","short":"left arrow with dotted stem"},"mathspeak":{"default":"left-arrow with dotted stem","sbrief":"L arrow with dotted stem"}},"key":"2B38"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with tail with vertical stroke","short":"left arrow with tail with vertical stroke"},"mathspeak":{"default":"left-arrow with tail with vertical stroke","sbrief":"L arrow with tail with vertical stroke"}},"key":"2B39"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with tail with double vertical stroke","short":"left arrow with tail with double vertical stroke"},"mathspeak":{"default":"left-arrow with tail with double vertical stroke","sbrief":"L arrow with tail with double vertical stroke"}},"key":"2B3A"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with tail","short":"left two headed arrow with tail"},"mathspeak":{"sbrief":"l two headed arrow with tail"}},"key":"2B3B"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with tail with vertical stroke","short":"left two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with vertical stroke"}},"key":"2B3C"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with tail with double vertical stroke","short":"left two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with double vertical stroke"}},"key":"2B3D"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow through x","short":"left arrow through x"},"mathspeak":{"default":"left-arrow through x","sbrief":"L arrow through x"}},"key":"2B3E"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly left"}},"key":"2B3F"},{"category":"Sm","mappings":{"default":{"default":"equals sign above leftwards arrow","short":"equals sign above left arrow"},"mathspeak":{"default":"equals sign above left-arrow","sbrief":"equals sign above L arrow"}},"key":"2B40"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above leftwards arrow","short":"reverse tilde operator above left arrow"},"mathspeak":{"default":"reverse tilde operator above left-arrow","sbrief":"reverse tilde operator above L arrow"}},"key":"2B41"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above reverse almost equals","short":"left arrow above reverse almost equals"},"mathspeak":{"default":"left-arrow above reverse almost equals","sbrief":"L arrow above reverse almost equals"}},"key":"2B42"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow through greater than","short":"right arrow through greater than"},"mathspeak":{"default":"right-arrow through greater than","sbrief":"R arrow through greater than"}},"key":"2B43"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow through superset","short":"right arrow through superset"},"mathspeak":{"default":"right-arrow through superset","sbrief":"R arrow through superset"}},"key":"2B44"},{"category":"So","mappings":{"default":{"default":"leftwards quadruple arrow","short":"left quadruple arrow"},"mathspeak":{"sbrief":"l quadrule arrow"}},"key":"2B45"},{"category":"So","mappings":{"default":{"default":"rightwards quadruple arrow","short":"right quadruple arrow"},"mathspeak":{"sbrief":"r quadrule arrow"}},"key":"2B46"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above rightwards arrow","short":"reverse tilde operator above right arrow"},"mathspeak":{"default":"reverse tilde operator above right-arrow","sbrief":"reverse tilde operator above R arrow"}},"key":"2B47"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above reverse almost equals","short":"right arrow above reverse almost equals"},"mathspeak":{"default":"right-arrow above reverse almost equals","sbrief":"R arrow above reverse almost equals"}},"key":"2B48"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above leftwards arrow","short":"tilde operator above left arrow"},"mathspeak":{"default":"tilde operator above left-arrow","sbrief":"tilde operator above L arrow"}},"key":"2B49"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above almost equals","short":"left arrow above almost equals"},"mathspeak":{"default":"left-arrow above almost equals","sbrief":"L arrow above almost equals"}},"key":"2B4A"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above reverse tilde operator","short":"left arrow above reverse tilde operator"},"mathspeak":{"default":"left-arrow above reverse tilde operator","sbrief":"L arrow above reverse tilde operator"}},"key":"2B4B"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above reverse tilde operator","short":"right arrow above reverse tilde operator"},"mathspeak":{"default":"right-arrow above reverse tilde operator","sbrief":"R arrow above reverse tilde operator"}},"key":"2B4C"},{"category":"Sm","mappings":{"default":{"default":"halfwidth leftwards arrow","short":"halfwidth left arrow"},"mathspeak":{"default":"halfwidth left-arrow","sbrief":"halfwidth L arrow"}},"key":"FFE9"},{"category":"Sm","mappings":{"default":{"default":"halfwidth upwards arrow","short":"halfwidth up arrow"},"mathspeak":{"default":"halfwidth up-arrow","sbrief":"halfwidth U arrow"}},"key":"FFEA"},{"category":"Sm","mappings":{"default":{"default":"halfwidth rightwards arrow","short":"halfwidth right arrow"},"mathspeak":{"default":"halfwidth right-arrow","sbrief":"halfwidth R arrow"}},"key":"FFEB"},{"category":"Sm","mappings":{"default":{"default":"halfwidth downwards arrow","short":"halfwidth down arrow"},"mathspeak":{"default":"halfwidth down-arrow","sbrief":"halfwidth D arrow"}},"key":"FFEC"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/math_characters.js b/unpacked/extensions/a11y/mathmaps/en/symbols/math_characters.js
deleted file mode 100644
index 29e8a5f5b0..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/math_characters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"script small l","short":"script l"}},"key":"2113"},{"category":"Sm","mappings":{"default":{"default":"script capital p","alternative":"script p","short":"script cap p"},"mathspeak":{"default":"script upper P"}},"key":"2118"},{"category":"Ll","mappings":{"default":{"default":"double struck small pi","short":"double struck pi"}},"key":"213C"},{"category":"Ll","mappings":{"default":{"default":"double struck small gamma","short":"double struck gamma"}},"key":"213D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital gamma","short":"double struck cap gamma"},"mathspeak":{"default":"double struck upper Gamma"}},"key":"213E"},{"category":"Lu","mappings":{"default":{"default":"double struck capital pi","short":"double struck cap pi"},"mathspeak":{"default":"double struck upper Pi"}},"key":"213F"},{"category":"Sm","mappings":{"default":{"default":"double struck n ary summation"}},"key":"2140"},{"category":"Lu","mappings":{"default":{"default":"double struck italic capital d","short":"double struck italic cap d"},"mathspeak":{"default":"double struck italic upper D"}},"key":"2145"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small d","short":"double struck italic d"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small e","short":"double struck italic e"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small i","short":"double struck italic i"}},"key":"2148"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small j","short":"double struck italic j"}},"key":"2149"},{"category":"Ll","mappings":{"default":{"default":"italic small dotless i","short":"italic dotless i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"italic small dotless j","short":"italic dotless j"}},"key":"1D6A5"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/math_delimiters.js b/unpacked/extensions/a11y/mathmaps/en/symbols/math_delimiters.js
deleted file mode 100644
index 37824eac6c..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/math_delimiters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ps","mappings":{"default":{"default":"left parenthesis","alternative":"opening parenthesis"},"mathspeak":{"default":"left-parenthesis","brief":"left-p'ren","sbrief":"L p'ren"}},"key":"0028"},{"category":"Pe","mappings":{"default":{"default":"right parenthesis","alternative":"closing parenthesis"},"mathspeak":{"default":"right-parenthesis","brief":"right-p'ren","sbrief":"R p'ren"}},"key":"0029"},{"category":"Ps","mappings":{"default":{"default":"left square bracket","alternative":"opening square bracket"},"mathspeak":{"default":"left-bracket","brief":"left-brack","sbrief":"L brack"}},"key":"005B"},{"category":"Pe","mappings":{"default":{"default":"right square bracket","alternative":"closing square bracket"},"mathspeak":{"default":"right-bracket","brief":"right-brack","sbrief":"R brack"}},"key":"005D"},{"category":"Ps","mappings":{"default":{"default":"left curly bracket","alternative":"opening curly bracket"},"mathspeak":{"default":"left-brace","sbrief":"L brace"}},"key":"007B"},{"category":"Pe","mappings":{"default":{"default":"right curly bracket","alternative":"closing curly bracket"},"mathspeak":{"default":"right-brace","sbrief":"R brace"}},"key":"007D"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with quill"},"mathspeak":{"default":"left-bracket with quill","brief":"left-brack with quill","sbrief":"L brack with quill"}},"key":"2045"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with quill"},"mathspeak":{"default":"right-bracket with quill","brief":"right-brack with quill","sbrief":"R brack with quill"}},"key":"2046"},{"category":"Sm","mappings":{"default":{"default":"left ceiling"}},"key":"2308"},{"category":"Sm","mappings":{"default":{"default":"right ceiling"}},"key":"2309"},{"category":"Sm","mappings":{"default":{"default":"left floor"}},"key":"230A"},{"category":"Sm","mappings":{"default":{"default":"right floor"}},"key":"230B"},{"category":"So","mappings":{"default":{"default":"bottom right crop"}},"key":"230C"},{"category":"So","mappings":{"default":{"default":"bottom left crop"}},"key":"230D"},{"category":"So","mappings":{"default":{"default":"top right crop"}},"key":"230E"},{"category":"So","mappings":{"default":{"default":"top left crop"}},"key":"230F"},{"category":"So","mappings":{"default":{"default":"top left corner"}},"key":"231C"},{"category":"So","mappings":{"default":{"default":"top right corner"}},"key":"231D"},{"category":"So","mappings":{"default":{"default":"bottom left corner"}},"key":"231E"},{"category":"So","mappings":{"default":{"default":"bottom right corner"}},"key":"231F"},{"category":"Sm","mappings":{"default":{"default":"top half integral"}},"key":"2320"},{"category":"Sm","mappings":{"default":{"default":"bottom half integral"}},"key":"2321"},{"category":"Ps","mappings":{"default":{"default":"left pointing angle bracket","alternative":"bra"},"mathspeak":{"default":"left pointing angle"}},"key":"2329"},{"category":"Pe","mappings":{"default":{"default":"right pointing angle bracket","alternative":"ket"},"mathspeak":{"default":"right pointing angle"}},"key":"232A"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis upper hook"},"mathspeak":{"default":"left-parenthesis upper hook","brief":"left-p'ren upper hook","sbrief":"L p'ren upper hook"}},"key":"239B"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis extension"},"mathspeak":{"default":"left-parenthesis extension","brief":"left-p'ren extension","sbrief":"L p'ren extension"}},"key":"239C"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis lower hook"},"mathspeak":{"default":"left-parenthesis lower hook","brief":"left-p'ren lower hook","sbrief":"L p'ren lower hook"}},"key":"239D"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis upper hook"},"mathspeak":{"default":"right-parenthesis upper hook","brief":"right-p'ren upper hook","sbrief":"R p'ren upper hook"}},"key":"239E"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis extension"},"mathspeak":{"default":"right-parenthesis extension","brief":"right-p'ren extension","sbrief":"R p'ren extension"}},"key":"239F"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis lower hook"},"mathspeak":{"default":"right-parenthesis lower hook","brief":"right-p'ren lower hook","sbrief":"R p'ren lower hook"}},"key":"23A0"},{"category":"Sm","mappings":{"default":{"default":"left square bracket upper corner"},"mathspeak":{"default":"left-bracket upper corner","brief":"left-brack upper corner","sbrief":"L brack upper corner"}},"key":"23A1"},{"category":"Sm","mappings":{"default":{"default":"left square bracket extension"},"mathspeak":{"default":"left-bracket extension","brief":"left-brack extension","sbrief":"L brack extension"}},"key":"23A2"},{"category":"Sm","mappings":{"default":{"default":"left square bracket lower corner"},"mathspeak":{"default":"left-bracket lower corner","brief":"left-brack lower corner","sbrief":"L brack lower corner"}},"key":"23A3"},{"category":"Sm","mappings":{"default":{"default":"right square bracket upper corner"},"mathspeak":{"default":"right-bracket upper corner","brief":"right-brack upper corner","sbrief":"R brack upper corner"}},"key":"23A4"},{"category":"Sm","mappings":{"default":{"default":"right square bracket extension"},"mathspeak":{"default":"right-bracket extension","brief":"right-brack extension","sbrief":"R brack extension"}},"key":"23A5"},{"category":"Sm","mappings":{"default":{"default":"right square bracket lower corner"},"mathspeak":{"default":"right-bracket lower corner","brief":"right-brack lower corner","sbrief":"R brack lower corner"}},"key":"23A6"},{"category":"Sm","mappings":{"default":{"default":"left curly bracket upper hook"},"mathspeak":{"default":"left-brace upper hook","sbrief":"L brace upper hook"}},"key":"23A7"},{"category":"Sm","mappings":{"default":{"default":"left curly bracket middle piece"},"mathspeak":{"default":"left-brace middle piece","sbrief":"L brace middle piece"}},"key":"23A8"},{"category":"Sm","mappings":{"default":{"default":"left curly bracket lower hook"},"mathspeak":{"default":"left-brace lower hook","sbrief":"L brace lower hook"}},"key":"23A9"},{"category":"Sm","mappings":{"default":{"default":"curly bracket extension"},"mathspeak":{"default":"brace extension"}},"key":"23AA"},{"category":"Sm","mappings":{"default":{"default":"right curly bracket upper hook"},"mathspeak":{"default":"right-brace upper hook","sbrief":"R brace upper hook"}},"key":"23AB"},{"category":"Sm","mappings":{"default":{"default":"right curly bracket middle piece"},"mathspeak":{"default":"right-brace middle piece","sbrief":"R brace middle piece"}},"key":"23AC"},{"category":"Sm","mappings":{"default":{"default":"right curly bracket lower hook"},"mathspeak":{"default":"right-brace lower hook","sbrief":"R brace lower hook"}},"key":"23AD"},{"category":"Sm","mappings":{"default":{"default":"integral extension"}},"key":"23AE"},{"category":"Sm","mappings":{"default":{"default":"horizontal line extension"}},"key":"23AF"},{"category":"Sm","mappings":{"default":{"default":"upper left or lower right curly bracket section"},"mathspeak":{"default":"upper left or lower right-brace section"}},"key":"23B0"},{"category":"Sm","mappings":{"default":{"default":"upper right or lower left curly bracket section"},"mathspeak":{"default":"upper right or lower left-brace section"}},"key":"23B1"},{"category":"Sm","mappings":{"default":{"default":"summation top"}},"key":"23B2"},{"category":"Sm","mappings":{"default":{"default":"summation bottom"}},"key":"23B3"},{"category":"So","mappings":{"default":{"default":"top square bracket"},"mathspeak":{"default":"top-bracket","brief":"top-brack","sbrief":"T brack"}},"key":"23B4"},{"category":"So","mappings":{"default":{"default":"bottom square bracket"},"mathspeak":{"default":"bottom-bracket","brief":"bottom-brack","sbrief":"B brack"}},"key":"23B5"},{"category":"So","mappings":{"default":{"default":"bottom square bracket over top square bracket"},"mathspeak":{"default":"bottom-bracket over top-bracket","brief":"bottom-brack over top-brack","sbrief":"B brack over T brack"}},"key":"23B6"},{"category":"So","mappings":{"default":{"default":"radical symbol bottom"}},"key":"23B7"},{"category":"So","mappings":{"default":{"default":"left vertical box line"}},"key":"23B8"},{"category":"So","mappings":{"default":{"default":"right vertical box line"}},"key":"23B9"},{"category":"Sm","mappings":{"default":{"default":"top parenthesis"},"mathspeak":{"default":"top-parenthesis","brief":"top-p'ren","sbrief":"t p'ren"}},"key":"23DC"},{"category":"Sm","mappings":{"default":{"default":"bottom parenthesis"},"mathspeak":{"default":"bottom-parenthesis","brief":"bottom-p'ren","sbrief":"b p'ren"}},"key":"23DD"},{"category":"Sm","mappings":{"default":{"default":"top curly bracket"},"mathspeak":{"default":"top-brace","sbrief":"T brace"}},"key":"23DE"},{"category":"Sm","mappings":{"default":{"default":"bottom curly bracket"},"mathspeak":{"default":"bottom-brace","sbrief":"B brace"}},"key":"23DF"},{"category":"Sm","mappings":{"default":{"default":"top tortoise shell bracket"}},"key":"23E0"},{"category":"Sm","mappings":{"default":{"default":"bottom tortoise shell bracket"}},"key":"23E1"},{"category":"Ps","mappings":{"default":{"default":"medium left parenthesis ornament"},"mathspeak":{"default":"medium left-parenthesis ornament","brief":"medium left-p'ren ornament","sbrief":"medium L p'ren ornament"}},"key":"2768"},{"category":"Pe","mappings":{"default":{"default":"medium right parenthesis ornament"},"mathspeak":{"default":"medium right-parenthesis ornament","brief":"medium right-p'ren ornament","sbrief":"medium R p'ren ornament"}},"key":"2769"},{"category":"Ps","mappings":{"default":{"default":"medium flattened left parenthesis ornament"},"mathspeak":{"default":"medium flattened left-parenthesis ornament","brief":"medium flattened left-p'ren ornament","sbrief":"medium flattened L p'ren ornament"}},"key":"276A"},{"category":"Pe","mappings":{"default":{"default":"medium flattened right parenthesis ornament"},"mathspeak":{"default":"medium flattened right-parenthesis ornament","brief":"medium flattened right-p'ren ornament","sbrief":"medium flattened R p'ren ornament"}},"key":"276B"},{"category":"Ps","mappings":{"default":{"default":"medium left pointing angle bracket ornament"},"mathspeak":{"default":"medium left pointing angle ornament"}},"key":"276C"},{"category":"Pe","mappings":{"default":{"default":"medium right pointing angle bracket ornament"},"mathspeak":{"default":"medium right pointing angle ornament"}},"key":"276D"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle quotation mark ornament"}},"key":"276E"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle quotation mark ornament"}},"key":"276F"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle bracket ornament"},"mathspeak":{"default":"heavy left pointing angle ornament"}},"key":"2770"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle bracket ornament"},"mathspeak":{"default":"heavy right pointing angle ornament"}},"key":"2771"},{"category":"Ps","mappings":{"default":{"default":"light left tortoise shell bracket ornament"}},"key":"2772"},{"category":"Pe","mappings":{"default":{"default":"light right tortoise shell bracket ornament"}},"key":"2773"},{"category":"Ps","mappings":{"default":{"default":"medium left curly bracket ornament"},"mathspeak":{"default":"medium left-brace ornament","sbrief":"medium L brace ornament"}},"key":"2774"},{"category":"Pe","mappings":{"default":{"default":"medium right curly bracket ornament"},"mathspeak":{"default":"medium right-brace ornament","sbrief":"medium R brace ornament"}},"key":"2775"},{"category":"Ps","mappings":{"default":{"default":"left s shaped bag delimiter"}},"key":"27C5"},{"category":"Pe","mappings":{"default":{"default":"right s shaped bag delimiter"}},"key":"27C6"},{"category":"Ps","mappings":{"default":{"default":"mathematical left white square bracket"},"mathspeak":{"default":"mathematical left white bracket"}},"key":"27E6"},{"category":"Pe","mappings":{"default":{"default":"mathematical right white square bracket"},"mathspeak":{"default":"mathematical right white bracket"}},"key":"27E7"},{"category":"Ps","mappings":{"default":{"default":"mathematical left angle bracket"},"mathspeak":{"default":"mathematical left-angle","sbrief":"mathematical l angle"}},"key":"27E8"},{"category":"Pe","mappings":{"default":{"default":"mathematical right angle bracket"},"mathspeak":{"default":"mathematical right-angle","sbrief":"mathematical r angle"}},"key":"27E9"},{"category":"Ps","mappings":{"default":{"default":"mathematical left double angle bracket"},"mathspeak":{"default":"mathematical left double angle"}},"key":"27EA"},{"category":"Pe","mappings":{"default":{"default":"mathematical right double angle bracket"},"mathspeak":{"default":"mathematical right double angle"}},"key":"27EB"},{"category":"Ps","mappings":{"default":{"default":"mathematical left white tortoise shell bracket"}},"key":"27EC"},{"category":"Pe","mappings":{"default":{"default":"mathematical right white tortoise shell bracket"}},"key":"27ED"},{"category":"Ps","mappings":{"default":{"default":"mathematical left flattened parenthesis"},"mathspeak":{"default":"mathematical flattened left-parenthesis","brief":"mathematical flattened left-p'ren","sbrief":"mathematical flattened L p'ren"}},"key":"27EE"},{"category":"Pe","mappings":{"default":{"default":"mathematical right flattened parenthesis"},"mathspeak":{"default":"mathematical flattened right-parenthesis","brief":"mathematical flattened right-p'ren","sbrief":"mathematical flattened R p'ren"}},"key":"27EF"},{"category":"Ps","mappings":{"default":{"default":"left white curly bracket"},"mathspeak":{"default":"left white brace"}},"key":"2983"},{"category":"Pe","mappings":{"default":{"default":"right white curly bracket"},"mathspeak":{"default":"right white brace"}},"key":"2984"},{"category":"Ps","mappings":{"default":{"default":"left white parenthesis"},"mathspeak":{"default":"white left-parenthesis","brief":"white left-p'ren","sbrief":"white L p'ren"}},"key":"2985"},{"category":"Pe","mappings":{"default":{"default":"right white parenthesis"},"mathspeak":{"default":"white right-parenthesis","brief":"white right-p'ren","sbrief":"white R p'ren"}},"key":"2986"},{"category":"Ps","mappings":{"default":{"default":"z notation left image bracket"}},"key":"2987"},{"category":"Pe","mappings":{"default":{"default":"z notation right image bracket"}},"key":"2988"},{"category":"Ps","mappings":{"default":{"default":"z notation left binding bracket"}},"key":"2989"},{"category":"Pe","mappings":{"default":{"default":"z notation right binding bracket"}},"key":"298A"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with underbar"},"mathspeak":{"default":"left-bracket with underbar","brief":"left-brack with underbar","sbrief":"L brack with underbar"}},"key":"298B"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with underbar"},"mathspeak":{"default":"right-bracket with underbar","brief":"right-brack with underbar","sbrief":"R brack with underbar"}},"key":"298C"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with tick in top corner"},"mathspeak":{"default":"left-bracket with tick in top corner","brief":"left-brack with tick in top corner","sbrief":"L brack with tick in top corner"}},"key":"298D"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with tick in bottom corner"},"mathspeak":{"default":"right-bracket with tick in bottom corner","brief":"right-brack with tick in bottom corner","sbrief":"R brack with tick in bottom corner"}},"key":"298E"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with tick in bottom corner"},"mathspeak":{"default":"left-bracket with tick in bottom corner","brief":"left-brack with tick in bottom corner","sbrief":"L brack with tick in bottom corner"}},"key":"298F"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with tick in top corner"},"mathspeak":{"default":"right-bracket with tick in top corner","brief":"right-brack with tick in top corner","sbrief":"R brack with tick in top corner"}},"key":"2990"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket with dot"},"mathspeak":{"default":"left-angle with dot","sbrief":"l angle with dot"}},"key":"2991"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket with dot"},"mathspeak":{"default":"right-angle with dot","sbrief":"r angle with dot"}},"key":"2992"},{"category":"Ps","mappings":{"default":{"default":"left arc less than bracket"}},"key":"2993"},{"category":"Pe","mappings":{"default":{"default":"right arc greater than bracket"}},"key":"2994"},{"category":"Ps","mappings":{"default":{"default":"double left arc greater than bracket"}},"key":"2995"},{"category":"Pe","mappings":{"default":{"default":"double right arc less than bracket"}},"key":"2996"},{"category":"Ps","mappings":{"default":{"default":"left black tortoise shell bracket"}},"key":"2997"},{"category":"Pe","mappings":{"default":{"default":"right black tortoise shell bracket"}},"key":"2998"},{"category":"Ps","mappings":{"default":{"default":"left wiggly fence"}},"key":"29D8"},{"category":"Pe","mappings":{"default":{"default":"right wiggly fence"}},"key":"29D9"},{"category":"Ps","mappings":{"default":{"default":"left double wiggly fence"}},"key":"29DA"},{"category":"Pe","mappings":{"default":{"default":"right double wiggly fence"}},"key":"29DB"},{"category":"Ps","mappings":{"default":{"default":"left pointing curved angle bracket"},"mathspeak":{"default":"left pointing curved angle"}},"key":"29FC"},{"category":"Pe","mappings":{"default":{"default":"right pointing curved angle bracket"},"mathspeak":{"default":"right pointing curved angle"}},"key":"29FD"},{"category":"Ps","mappings":{"default":{"default":"top left half bracket"},"mathspeak":{"default":"top half left-bracket","brief":"top half left-brack","sbrief":"top half L brack"}},"key":"2E22"},{"category":"Pe","mappings":{"default":{"default":"top right half bracket"},"mathspeak":{"default":"top half right-bracket","brief":"top half right-brack","sbrief":"top half R brack"}},"key":"2E23"},{"category":"Ps","mappings":{"default":{"default":"bottom left half bracket"},"mathspeak":{"default":"bottom half left-bracket","brief":"bottom half left-brack","sbrief":"bottom half L brack"}},"key":"2E24"},{"category":"Pe","mappings":{"default":{"default":"bottom right half bracket"},"mathspeak":{"default":"bottom half right-bracket","brief":"bottom half right-brack","sbrief":"bottom half R brack"}},"key":"2E25"},{"category":"Ps","mappings":{"default":{"default":"left sideways U bracket"}},"key":"2E26"},{"category":"Pe","mappings":{"default":{"default":"right sideways U bracket"}},"key":"2E27"},{"category":"Ps","mappings":{"default":{"default":"left double parenthesis"},"mathspeak":{"default":"double left-parenthesis","brief":"double left-p'ren","sbrief":"double L p'ren"}},"key":"2E28"},{"category":"Pe","mappings":{"default":{"default":"right double parenthesis"},"mathspeak":{"default":"double right-parenthesis","brief":"double right-p'ren","sbrief":"double R p'ren"}},"key":"2E29"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket","alternative":"opening angle bracket"},"mathspeak":{"default":"left-angle","sbrief":"l angle"}},"key":"3008"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket","alternative":"closing angle bracket"},"mathspeak":{"default":"right-angle","sbrief":"r angle"}},"key":"3009"},{"category":"Ps","mappings":{"default":{"default":"left double angle bracket","alternative":"opening double angle bracket"},"mathspeak":{"default":"left double angle"}},"key":"300A"},{"category":"Pe","mappings":{"default":{"default":"right double angle bracket","alternative":"closing double angle bracket"},"mathspeak":{"default":"right double angle"}},"key":"300B"},{"category":"Ps","mappings":{"default":{"default":"left corner bracket","alternative":"opening corner bracket"}},"key":"300C"},{"category":"Pe","mappings":{"default":{"default":"right corner bracket","alternative":"closing corner bracket"}},"key":"300D"},{"category":"Ps","mappings":{"default":{"default":"left white corner bracket","alternative":"opening white corner bracket"}},"key":"300E"},{"category":"Pe","mappings":{"default":{"default":"right white corner bracket","alternative":"closing white corner bracket"}},"key":"300F"},{"category":"Ps","mappings":{"default":{"default":"left black lenticular bracket","alternative":"opening black lenticular bracket"}},"key":"3010"},{"category":"Pe","mappings":{"default":{"default":"right black lenticular bracket","alternative":"closing black lenticular bracket"}},"key":"3011"},{"category":"Ps","mappings":{"default":{"default":"left tortoise shell bracket","alternative":"opening tortoise shell bracket"}},"key":"3014"},{"category":"Pe","mappings":{"default":{"default":"right tortoise shell bracket","alternative":"closing tortoise shell bracket"}},"key":"3015"},{"category":"Ps","mappings":{"default":{"default":"left white lenticular bracket","alternative":"opening white lenticular bracket"}},"key":"3016"},{"category":"Pe","mappings":{"default":{"default":"right white lenticular bracket","alternative":"closing white lenticular bracket"}},"key":"3017"},{"category":"Ps","mappings":{"default":{"default":"left white tortoise shell bracket","alternative":"opening white tortoise shell bracket"}},"key":"3018"},{"category":"Pe","mappings":{"default":{"default":"right white tortoise shell bracket","alternative":"closing white tortoise shell bracket"}},"key":"3019"},{"category":"Ps","mappings":{"default":{"default":"left white square bracket","alternative":"opening white square bracket"},"mathspeak":{"default":"left white bracket"}},"key":"301A"},{"category":"Pe","mappings":{"default":{"default":"right white square bracket","alternative":"closing white square bracket"},"mathspeak":{"default":"right white bracket"}},"key":"301B"},{"category":"Ps","mappings":{"default":{"default":"reversed double prime quotation mark"}},"key":"301D"},{"category":"Pe","mappings":{"default":{"default":"double prime quotation mark"}},"key":"301E"},{"category":"Pe","mappings":{"default":{"default":"low double prime quotation mark"}},"key":"301F"},{"category":"Ps","mappings":{"default":{"default":"ornate left parenthesis"},"mathspeak":{"default":"ornate left-parenthesis","brief":"ornate left-p'ren","sbrief":"ornate L p'ren"}},"key":"FD3E"},{"category":"Pe","mappings":{"default":{"default":"ornate right parenthesis"},"mathspeak":{"default":"ornate right-parenthesis","brief":"ornate right-p'ren","sbrief":"ornate R p'ren"}},"key":"FD3F"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white lenticular bracket"}},"key":"FE17"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white lenticular brakcet"}},"key":"FE18"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left parenthesis","alternative":"glyph for vertical opening parenthesis"},"mathspeak":{"default":"presentation form for vertical left-parenthesis","brief":"presentation form for vertical left-p'ren","sbrief":"presentation form for vertical L p'ren"}},"key":"FE35"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right parenthesis","alternative":"glyph for vertical closing parenthesis"},"mathspeak":{"default":"presentation form for vertical right-parenthesis","brief":"presentation form for vertical right-p'ren","sbrief":"presentation form for vertical R p'ren"}},"key":"FE36"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left curly bracket","alternative":"glyph for vertical opening curly bracket"},"mathspeak":{"default":"presentation form for vertical left-brace","sbrief":"presentation form for vertical L brace"}},"key":"FE37"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right curly bracket","alternative":"glyph for vertical closing curly bracket"},"mathspeak":{"default":"presentation form for vertical right-brace","sbrief":"presentation form for vertical r brace"}},"key":"FE38"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left tortoise shell bracket","alternative":"glyph for vertical opening tortoise shell bracket"}},"key":"FE39"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right tortoise shell bracket","alternative":"glyph for vertical closing tortoise shell bracket"}},"key":"FE3A"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left black lenticular bracket","alternative":"glyph for vertical opening black lenticular bracket"}},"key":"FE3B"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right black lenticular bracket","alternative":"glyph for vertical closing black lenticular bracket"}},"key":"FE3C"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left double angle bracket","alternative":"glyph for vertical opening double angle bracket"},"mathspeak":{"default":"presentation form for vertical left double angle"}},"key":"FE3D"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right double angle bracket","alternative":"glyph for vertical closing double angle bracket"},"mathspeak":{"default":"presentation form for vertical right double angle"}},"key":"FE3E"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left angle bracket","alternative":"glyph for vertical opening angle bracket"},"mathspeak":{"default":"presentation form for vertical left-angle","sbrief":"presentation form for vertical l angle"}},"key":"FE3F"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right angle bracket","alternative":"glyph for vertical closing angle bracket"},"mathspeak":{"default":"presentation form for vertical right-angle","sbrief":"presentation form for vertical r angle"}},"key":"FE40"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left corner bracket","alternative":"glyph for vertical opening corner bracket"}},"key":"FE41"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right corner bracket","alternative":"glyph for vertical closing corner bracket"}},"key":"FE42"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white corner bracket","alternative":"glyph for vertical opening white corner bracket"}},"key":"FE43"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white corner bracket","alternative":"glyph for vertical closing white corner bracket"}},"key":"FE44"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left square bracket"},"mathspeak":{"default":"presentation form for vertical left-bracket","brief":"presentation form for vertical left-brack","sbrief":"presentation form for vertical L brack"}},"key":"FE47"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right square bracket"},"mathspeak":{"default":"presentation form for vertical right-bracket","brief":"presentation form for vertical right-brack","sbrief":"presentation form for vertical r brack"}},"key":"FE48"},{"category":"Ps","mappings":{"default":{"default":"small left parenthesis","alternative":"small opening parenthesis"},"mathspeak":{"default":"small left-parenthesis","brief":"small left-p'ren","sbrief":"small L p'ren"}},"key":"FE59"},{"category":"Pe","mappings":{"default":{"default":"small right parenthesis","alternative":"small closing parenthesis"},"mathspeak":{"default":"small right-parenthesis","brief":"small right-p'ren","sbrief":"small R p'ren"}},"key":"FE5A"},{"category":"Ps","mappings":{"default":{"default":"small left curly bracket","alternative":"small opening curly bracket"},"mathspeak":{"default":"small left-brace","sbrief":"small L brace"}},"key":"FE5B"},{"category":"Pe","mappings":{"default":{"default":"small right curly bracket","alternative":"small closing curly bracket"},"mathspeak":{"default":"small right-brace","sbrief":"small r brace"}},"key":"FE5C"},{"category":"Ps","mappings":{"default":{"default":"small left tortoise shell bracket","alternative":"small opening tortoise shell bracket"}},"key":"FE5D"},{"category":"Pe","mappings":{"default":{"default":"small right tortoise shell bracket","alternative":"small closing tortoise shell bracket"}},"key":"FE5E"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left parenthesis","alternative":"fullwidth opening parenthesis"},"mathspeak":{"default":"fullwidth left-parenthesis","brief":"fullwidth left-p'ren","sbrief":"fullwidth L p'ren"}},"key":"FF08"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right parenthesis","alternative":"fullwidth closing parenthesis"},"mathspeak":{"default":"fullwidth right-parenthesis","brief":"fullwidth right-p'ren","sbrief":"fullwidth R p'ren"}},"key":"FF09"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left square bracket","alternative":"fullwidth opening square bracket"},"mathspeak":{"default":"fullwidth left-bracket","brief":"fullwidth left-brack","sbrief":"fullwidth L brack"}},"key":"FF3B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right square bracket","alternative":"fullwidth closing square bracket"},"mathspeak":{"default":"fullwidth right-bracket","brief":"fullwidth right-brack","sbrief":"fullwidth r brack"}},"key":"FF3D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left curly bracket","alternative":"fullwidth opening curly bracket"},"mathspeak":{"default":"fullwidth left-brace","sbrief":"fullwidth L brace"}},"key":"FF5B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right curly bracket","alternative":"fullwidth closing curly bracket"},"mathspeak":{"default":"fullwidth right-brace","sbrief":"fullwidth r brace"}},"key":"FF5D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth white left parenthesis"},"mathspeak":{"default":"fullwidth white left-parenthesis","brief":"fullwidth white left-p'ren","sbrief":"fullwidth white L p'ren"}},"key":"FF5F"},{"category":"Pe","mappings":{"default":{"default":"fullwidth white right parenthesis"},"mathspeak":{"default":"fullwidth white right-parenthesis","brief":"fullwidth white right-p'ren","sbrief":"fullwidth white R p'ren"}},"key":"FF60"},{"category":"Ps","mappings":{"default":{"default":"halfwidth left corner bracket","alternative":"halfwidth opening corner bracket"}},"key":"FF62"},{"category":"Pe","mappings":{"default":{"default":"halfwidth right corner bracket","alternative":"halfwidth closing corner bracket"}},"key":"FF63"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/math_digits.js b/unpacked/extensions/a11y/mathmaps/en/symbols/math_digits.js
deleted file mode 100644
index 771d54b66e..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/math_digits.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Nd","mappings":{"default":{"default":"digit zero","short":"zero"},"mathspeak":{"default":"0"}},"key":"0030"},{"category":"Nd","mappings":{"default":{"default":"digit one","short":"one"},"mathspeak":{"default":"1"}},"key":"0031"},{"category":"Nd","mappings":{"default":{"default":"digit two","short":"two"},"mathspeak":{"default":"2"}},"key":"0032"},{"category":"Nd","mappings":{"default":{"default":"digit three","short":"three"},"mathspeak":{"default":"3"}},"key":"0033"},{"category":"Nd","mappings":{"default":{"default":"digit four","short":"four"},"mathspeak":{"default":"4"}},"key":"0034"},{"category":"Nd","mappings":{"default":{"default":"digit five","short":"five"},"mathspeak":{"default":"5"}},"key":"0035"},{"category":"Nd","mappings":{"default":{"default":"digit six","short":"six"},"mathspeak":{"default":"6"}},"key":"0036"},{"category":"Nd","mappings":{"default":{"default":"digit seven","short":"seven"},"mathspeak":{"default":"7"}},"key":"0037"},{"category":"Nd","mappings":{"default":{"default":"digit eight","short":"eight"},"mathspeak":{"default":"8"}},"key":"0038"},{"category":"Nd","mappings":{"default":{"default":"digit nine","short":"nine"},"mathspeak":{"default":"9"}},"key":"0039"},{"category":"No","mappings":{"default":{"default":"superscript digit two","alternative":"superscript two","short":"square"},"mathspeak":{"default":"9"}},"key":"00B2"},{"category":"No","mappings":{"default":{"default":"superscript digit three","alternative":"superscript three","short":"cube"}},"key":"00B3"},{"category":"No","mappings":{"default":{"default":"superscript digit one","alternative":"superscript one","short":"super one"}},"key":"00B9"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one quarter","alternative":"fraction one quarter","short":"one quarter"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one half","alternative":"fraction one half","short":"one half"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"vulgar fraction three quarters","alternative":"fraction three quarters","short":"three quarters"}},"key":"00BE"},{"category":"No","mappings":{"default":{"default":"superscript zero","short":"super zero"}},"key":"2070"},{"category":"No","mappings":{"default":{"default":"superscript digit four","alternative":"superscript four","short":"super four"}},"key":"2074"},{"category":"No","mappings":{"default":{"default":"superscript digit five","alternative":"superscript five","short":"super five"}},"key":"2075"},{"category":"No","mappings":{"default":{"default":"superscript digit six","alternative":"superscript six","short":"super six"}},"key":"2076"},{"category":"No","mappings":{"default":{"default":"superscript digit seven","alternative":"superscript seven","short":"super seven"}},"key":"2077"},{"category":"No","mappings":{"default":{"default":"superscript digit eight","alternative":"superscript eight","short":"super eight"}},"key":"2078"},{"category":"No","mappings":{"default":{"default":"superscript digit nine","alternative":"superscript nine","short":"super nine"}},"key":"2079"},{"category":"No","mappings":{"default":{"default":"subscript digit zero","alternative":"subscript zero","short":"sub zero"}},"key":"2080"},{"category":"No","mappings":{"default":{"default":"subscript digit one","alternative":"subscript one","short":"sub one"}},"key":"2081"},{"category":"No","mappings":{"default":{"default":"subscript digit two","alternative":"subscript two","short":"sub two"}},"key":"2082"},{"category":"No","mappings":{"default":{"default":"subscript digit three","alternative":"subscript three","short":"sub three"}},"key":"2083"},{"category":"No","mappings":{"default":{"default":"subscript digit four","alternative":"subscript four","short":"sub four"}},"key":"2084"},{"category":"No","mappings":{"default":{"default":"subscript digit five","alternative":"subscript five","short":"sub five"}},"key":"2085"},{"category":"No","mappings":{"default":{"default":"subscript digit six","alternative":"subscript six","short":"sub six"}},"key":"2086"},{"category":"No","mappings":{"default":{"default":"subscript digit seven","alternative":"subscript seven","short":"sub seven"}},"key":"2087"},{"category":"No","mappings":{"default":{"default":"subscript digit eight","alternative":"subscript eight","short":"sub eight"}},"key":"2088"},{"category":"No","mappings":{"default":{"default":"subscript digit nine","alternative":"subscript nine","short":"sub nine"}},"key":"2089"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one seventh","short":"one seventh"}},"key":"2150"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one ninth","short":"one ninth"}},"key":"2151"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one tenth","short":"one tenth"}},"key":"2152"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one third","alternative":"fraction one third","short":"one third"}},"key":"2153"},{"category":"No","mappings":{"default":{"default":"vulgar fraction two thirds","alternative":"fraction two thirds","short":"two thirds"}},"key":"2154"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one fifth","alternative":"fraction one fifth","short":"one fifth"}},"key":"2155"},{"category":"No","mappings":{"default":{"default":"vulgar fraction two fifths","alternative":"fraction two fifths","short":"two fifths"}},"key":"2156"},{"category":"No","mappings":{"default":{"default":"vulgar fraction three fifths","alternative":"fraction three fifths","short":"three fifths"}},"key":"2157"},{"category":"No","mappings":{"default":{"default":"vulgar fraction four fifths","alternative":"fraction four fifths","short":"four fifths"}},"key":"2158"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one sixth","alternative":"fraction one sixth","short":"one sixth"}},"key":"2159"},{"category":"No","mappings":{"default":{"default":"vulgar fraction five sixths","alternative":"fraction five sixths","short":"five sixths"}},"key":"215A"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one eighth","alternative":"fraction one eighth","short":"one eighth"}},"key":"215B"},{"category":"No","mappings":{"default":{"default":"vulgar fraction three eighths","alternative":"fraction three eighths","short":"three eighths"}},"key":"215C"},{"category":"No","mappings":{"default":{"default":"vulgar fraction five eighths","alternative":"fraction five eighths","short":"five eighths"}},"key":"215D"},{"category":"No","mappings":{"default":{"default":"vulgar fraction seven eighths","alternative":"fraction seven eighths","short":"seven eighths"}},"key":"215E"},{"category":"No","mappings":{"default":{"default":"fraction numerator one","short":"numerator one"}},"key":"215F"},{"category":"No","mappings":{"default":{"default":"vulgar fraction zero thirds","short":"zero thirds"}},"key":"2189"},{"category":"No","mappings":{"default":{"default":"circled digit one","short":"circled one"},"mathspeak":{"default":"circled 1"}},"key":"2460"},{"category":"No","mappings":{"default":{"default":"circled digit two","short":"circled two"},"mathspeak":{"default":"circled 2"}},"key":"2461"},{"category":"No","mappings":{"default":{"default":"circled digit three","short":"circled three"},"mathspeak":{"default":"circled 3"}},"key":"2462"},{"category":"No","mappings":{"default":{"default":"circled digit four","short":"circled four"},"mathspeak":{"default":"circled 4"}},"key":"2463"},{"category":"No","mappings":{"default":{"default":"circled digit five","short":"circled five"},"mathspeak":{"default":"circled 5"}},"key":"2464"},{"category":"No","mappings":{"default":{"default":"circled digit six","short":"circled six"},"mathspeak":{"default":"circled 6"}},"key":"2465"},{"category":"No","mappings":{"default":{"default":"circled digit seven","short":"circled seven"},"mathspeak":{"default":"circled 7"}},"key":"2466"},{"category":"No","mappings":{"default":{"default":"circled digit eight","short":"circled eight"},"mathspeak":{"default":"circled 8"}},"key":"2467"},{"category":"No","mappings":{"default":{"default":"circled digit nine","short":"circled nine"},"mathspeak":{"default":"circled 9"}},"key":"2468"},{"category":"No","mappings":{"default":{"default":"circled number ten","short":"circled ten"},"mathspeak":{"default":"circled 10"}},"key":"2469"},{"category":"No","mappings":{"default":{"default":"circled number eleven","short":"circled eleven"},"mathspeak":{"default":"circled 11"}},"key":"246A"},{"category":"No","mappings":{"default":{"default":"circled number twelve","short":"circled twelve"},"mathspeak":{"default":"circled 12"}},"key":"246B"},{"category":"No","mappings":{"default":{"default":"circled number thirteen","short":"circled thirteen"},"mathspeak":{"default":"circled 13"}},"key":"246C"},{"category":"No","mappings":{"default":{"default":"circled number fourteen","short":"circled fourteen"},"mathspeak":{"default":"circled 14"}},"key":"246D"},{"category":"No","mappings":{"default":{"default":"circled number fifteen","short":"circled fifteen"},"mathspeak":{"default":"circled 15"}},"key":"246E"},{"category":"No","mappings":{"default":{"default":"circled number sixteen","short":"circled sixteen"},"mathspeak":{"default":"circled 16"}},"key":"246F"},{"category":"No","mappings":{"default":{"default":"circled number seventeen","short":"circled seventeen"},"mathspeak":{"default":"circled 17"}},"key":"2470"},{"category":"No","mappings":{"default":{"default":"circled number eighteen","short":"circled eighteen"},"mathspeak":{"default":"circled 18"}},"key":"2471"},{"category":"No","mappings":{"default":{"default":"circled number nineteen","short":"circled nineteen"},"mathspeak":{"default":"circled 19"}},"key":"2472"},{"category":"No","mappings":{"default":{"default":"circled number twenty","short":"circled twenty"},"mathspeak":{"default":"circled 20"}},"key":"2473"},{"category":"No","mappings":{"default":{"default":"parenthesized digit one","short":"parenthesized one"},"mathspeak":{"default":"parenthesized 1"}},"key":"2474"},{"category":"No","mappings":{"default":{"default":"parenthesized digit two","short":"parenthesized two"},"mathspeak":{"default":"parenthesized 2"}},"key":"2475"},{"category":"No","mappings":{"default":{"default":"parenthesized digit three","short":"parenthesized three"},"mathspeak":{"default":"parenthesized 3"}},"key":"2476"},{"category":"No","mappings":{"default":{"default":"parenthesized digit four","short":"parenthesized four"},"mathspeak":{"default":"parenthesized 4"}},"key":"2477"},{"category":"No","mappings":{"default":{"default":"parenthesized digit five","short":"parenthesized five"},"mathspeak":{"default":"parenthesized 5"}},"key":"2478"},{"category":"No","mappings":{"default":{"default":"parenthesized digit six","short":"parenthesized six"},"mathspeak":{"default":"parenthesized 6"}},"key":"2479"},{"category":"No","mappings":{"default":{"default":"parenthesized digit seven","short":"parenthesized seven"},"mathspeak":{"default":"parenthesized 7"}},"key":"247A"},{"category":"No","mappings":{"default":{"default":"parenthesized digit eight","short":"parenthesized eight"},"mathspeak":{"default":"parenthesized 8"}},"key":"247B"},{"category":"No","mappings":{"default":{"default":"parenthesized digit nine","short":"parenthesized nine"},"mathspeak":{"default":"parenthesized 9"}},"key":"247C"},{"category":"No","mappings":{"default":{"default":"parenthesized number ten","short":"parenthesized ten"},"mathspeak":{"default":"parenthesized 10"}},"key":"247D"},{"category":"No","mappings":{"default":{"default":"parenthesized number eleven","short":"parenthesized eleven"},"mathspeak":{"default":"parenthesized 11"}},"key":"247E"},{"category":"No","mappings":{"default":{"default":"parenthesized number twelve","short":"parenthesized twelve"},"mathspeak":{"default":"parenthesized 12"}},"key":"247F"},{"category":"No","mappings":{"default":{"default":"parenthesized number thirteen","short":"parenthesized thirteen"},"mathspeak":{"default":"parenthesized 13"}},"key":"2480"},{"category":"No","mappings":{"default":{"default":"parenthesized number fourteen","short":"parenthesized fourteen"},"mathspeak":{"default":"parenthesized 14"}},"key":"2481"},{"category":"No","mappings":{"default":{"default":"parenthesized number fifteen","short":"parenthesized fifteen"},"mathspeak":{"default":"parenthesized 15"}},"key":"2482"},{"category":"No","mappings":{"default":{"default":"parenthesized number sixteen","short":"parenthesized sixteen"},"mathspeak":{"default":"parenthesized 16"}},"key":"2483"},{"category":"No","mappings":{"default":{"default":"parenthesized number seventeen","short":"parenthesized seventeen"},"mathspeak":{"default":"parenthesized 17"}},"key":"2484"},{"category":"No","mappings":{"default":{"default":"parenthesized number eighteen","short":"parenthesized eighteen"},"mathspeak":{"default":"parenthesized 18"}},"key":"2485"},{"category":"No","mappings":{"default":{"default":"parenthesized number nineteen","short":"parenthesized nineteen"},"mathspeak":{"default":"parenthesized 19"}},"key":"2486"},{"category":"No","mappings":{"default":{"default":"parenthesized number twenty","short":"parenthesized twenty"},"mathspeak":{"default":"parenthesized 20"}},"key":"2487"},{"category":"No","mappings":{"default":{"default":"digit one full stop","alternative":"digit one period","short":"one period"},"mathspeak":{"default":"1 period"}},"key":"2488"},{"category":"No","mappings":{"default":{"default":"digit two full stop","alternative":"digit two period","short":"two period"},"mathspeak":{"default":"2 period"}},"key":"2489"},{"category":"No","mappings":{"default":{"default":"digit three full stop","alternative":"digit three period","short":"three period"},"mathspeak":{"default":"3 period"}},"key":"248A"},{"category":"No","mappings":{"default":{"default":"digit four full stop","alternative":"digit four period","short":"four period"},"mathspeak":{"default":"4 period"}},"key":"248B"},{"category":"No","mappings":{"default":{"default":"digit five full stop","alternative":"digit five period","short":"five period"},"mathspeak":{"default":"5 period"}},"key":"248C"},{"category":"No","mappings":{"default":{"default":"digit six full stop","alternative":"digit six period","short":"six period"},"mathspeak":{"default":"6 period"}},"key":"248D"},{"category":"No","mappings":{"default":{"default":"digit seven full stop","alternative":"digit seven period","short":"seven period"},"mathspeak":{"default":"7 period"}},"key":"248E"},{"category":"No","mappings":{"default":{"default":"digit eight full stop","alternative":"digit eight period","short":"eight period"},"mathspeak":{"default":"8 period"}},"key":"248F"},{"category":"No","mappings":{"default":{"default":"digit nine full stop","alternative":"digit nine period","short":"nine period"},"mathspeak":{"default":"9 period"}},"key":"2490"},{"category":"No","mappings":{"default":{"default":"number ten full stop","alternative":"number ten period","short":"ten period"},"mathspeak":{"default":"10 period"}},"key":"2491"},{"category":"No","mappings":{"default":{"default":"number eleven full stop","alternative":"number eleven period","short":"eleven period"},"mathspeak":{"default":"11 period"}},"key":"2492"},{"category":"No","mappings":{"default":{"default":"number twelve full stop","alternative":"number twelve period","short":"twelve period"},"mathspeak":{"default":"12 period"}},"key":"2493"},{"category":"No","mappings":{"default":{"default":"number thirteen full stop","alternative":"number thirteen period","short":"thirteen period"},"mathspeak":{"default":"13 period"}},"key":"2494"},{"category":"No","mappings":{"default":{"default":"number fourteen full stop","alternative":"number fourteen period","short":"fourteen period"},"mathspeak":{"default":"14 period"}},"key":"2495"},{"category":"No","mappings":{"default":{"default":"number fifteen full stop","alternative":"number fifteen period","short":"fifteen period"},"mathspeak":{"default":"15 period"}},"key":"2496"},{"category":"No","mappings":{"default":{"default":"number sixteen full stop","alternative":"number sixteen period","short":"sixteen period"},"mathspeak":{"default":"16 period"}},"key":"2497"},{"category":"No","mappings":{"default":{"default":"number seventeen full stop","alternative":"number seventeen period","short":"seventeen period"},"mathspeak":{"default":"17 period"}},"key":"2498"},{"category":"No","mappings":{"default":{"default":"number eighteen full stop","alternative":"number eighteen period","short":"eighteen period"},"mathspeak":{"default":"18 period"}},"key":"2499"},{"category":"No","mappings":{"default":{"default":"number nineteen full stop","alternative":"number nineteen period","short":"nineteen period"},"mathspeak":{"default":"19 period"}},"key":"249A"},{"category":"No","mappings":{"default":{"default":"number twenty full stop","alternative":"number twenty period","short":"twenty period"},"mathspeak":{"default":"20 period"}},"key":"249B"},{"category":"No","mappings":{"default":{"default":"circled digit zero","short":"circled zero"},"mathspeak":{"default":"circled 0"}},"key":"24EA"},{"category":"No","mappings":{"default":{"default":"negative circled number eleven","short":"negative circled eleven"},"mathspeak":{"default":"negative circled 11"}},"key":"24EB"},{"category":"No","mappings":{"default":{"default":"negative circled number twelve","short":"negative circled twelve"},"mathspeak":{"default":"negative circled 12"}},"key":"24EC"},{"category":"No","mappings":{"default":{"default":"negative circled number thirteen","short":"negative circled thirteen"},"mathspeak":{"default":"negative circled 13"}},"key":"24ED"},{"category":"No","mappings":{"default":{"default":"negative circled number fourteen","short":"negative circled fourteen"},"mathspeak":{"default":"negative circled 14"}},"key":"24EE"},{"category":"No","mappings":{"default":{"default":"negative circled number fifteen","short":"negative circled fifteen"},"mathspeak":{"default":"negative circled 15"}},"key":"24EF"},{"category":"No","mappings":{"default":{"default":"negative circled number sixteen","short":"negative circled sixteen"},"mathspeak":{"default":"negative circled 16"}},"key":"24F0"},{"category":"No","mappings":{"default":{"default":"negative circled number seventeen","short":"negative circled seventeen"},"mathspeak":{"default":"negative circled 17"}},"key":"24F1"},{"category":"No","mappings":{"default":{"default":"negative circled number eighteen","short":"negative circled eighteen"},"mathspeak":{"default":"negative circled 18"}},"key":"24F2"},{"category":"No","mappings":{"default":{"default":"negative circled number nineteen","short":"negative circled nineteen"},"mathspeak":{"default":"negative circled 19"}},"key":"24F3"},{"category":"No","mappings":{"default":{"default":"negative circled number twenty","short":"negative circled twenty"},"mathspeak":{"default":"negative circled 20"}},"key":"24F4"},{"category":"No","mappings":{"default":{"default":"double circled digit one","short":"double circled one"},"mathspeak":{"default":"double circled 1"}},"key":"24F5"},{"category":"No","mappings":{"default":{"default":"double circled digit two","short":"double circled two"},"mathspeak":{"default":"double circled 2"}},"key":"24F6"},{"category":"No","mappings":{"default":{"default":"double circled digit three","short":"double circled three"},"mathspeak":{"default":"double circled 3"}},"key":"24F7"},{"category":"No","mappings":{"default":{"default":"double circled digit four","short":"double circled four"},"mathspeak":{"default":"double circled 4"}},"key":"24F8"},{"category":"No","mappings":{"default":{"default":"double circled digit five","short":"double circled five"},"mathspeak":{"default":"double circled 5"}},"key":"24F9"},{"category":"No","mappings":{"default":{"default":"double circled digit six","short":"double circled six"},"mathspeak":{"default":"double circled 6"}},"key":"24FA"},{"category":"No","mappings":{"default":{"default":"double circled digit seven","short":"double circled seven"},"mathspeak":{"default":"double circled 7"}},"key":"24FB"},{"category":"No","mappings":{"default":{"default":"double circled digit eight","short":"double circled eight"},"mathspeak":{"default":"double circled 8"}},"key":"24FC"},{"category":"No","mappings":{"default":{"default":"double circled digit nine","short":"double circled nine"},"mathspeak":{"default":"double circled 9"}},"key":"24FD"},{"category":"No","mappings":{"default":{"default":"double circled number ten","short":"double circled ten"},"mathspeak":{"default":"double circled 10"}},"key":"24FE"},{"category":"No","mappings":{"default":{"default":"negative circled digit zero","short":"negative circled zero"},"mathspeak":{"default":"negative circled 0"}},"key":"24FF"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit one","alternative":"inverse circled digit one","short":"inverse circled one"},"mathspeak":{"default":"inverse circled 1"}},"key":"2776"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit two","alternative":"inverse circled digit two","short":"inverse circled two"},"mathspeak":{"default":"inverse circled 2"}},"key":"2777"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit three","alternative":"inverse circled digit three","short":"inverse circled three"},"mathspeak":{"default":"inverse circled 3"}},"key":"2778"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit four","alternative":"inverse circled digit four","short":"inverse circled four"},"mathspeak":{"default":"inverse circled 4"}},"key":"2779"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit five","alternative":"inverse circled digit five","short":"inverse circled five"},"mathspeak":{"default":"inverse circled 5"}},"key":"277A"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit six","alternative":"inverse circled digit six","short":"inverse circled six"},"mathspeak":{"default":"inverse circled 6"}},"key":"277B"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit seven","alternative":"inverse circled digit seven","short":"inverse circled seven"},"mathspeak":{"default":"inverse circled 7"}},"key":"277C"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit eight","alternative":"inverse circled digit eight","short":"inverse circled eight"},"mathspeak":{"default":"inverse circled 8"}},"key":"277D"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit nine","alternative":"inverse circled digit nine","short":"inverse circled nine"},"mathspeak":{"default":"inverse circled 9"}},"key":"277E"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled number ten","alternative":"inverse circled number ten","short":"inverse circled ten"},"mathspeak":{"default":"inverse circled 10"}},"key":"277F"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit one","alternative":"circled sans serif digit one","short":"circled one"}},"key":"2780"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit two","alternative":"circled sans serif digit two","short":"circled two"}},"key":"2781"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit three","alternative":"circled sans serif digit three","short":"circled three"}},"key":"2782"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit four","alternative":"circled sans serif digit four","short":"circled four"}},"key":"2783"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit five","alternative":"circled sans serif digit five","short":"circled five"}},"key":"2784"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit six","alternative":"circled sans serif digit six","short":"circled six"}},"key":"2785"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit seven","alternative":"circled sans serif digit seven","short":"circled seven"}},"key":"2786"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit eight","alternative":"circled sans serif digit eight","short":"circled eight"}},"key":"2787"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit nine","alternative":"circled sans serif digit nine","short":"circled nine"}},"key":"2788"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif number ten","alternative":"circled sans serif number ten","short":"circled ten"}},"key":"2789"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit one","alternative":"inverse circled sans serif digit one","short":"inverse circled one"},"mathspeak":{"default":"inverse circled 1"}},"key":"278A"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit two","alternative":"inverse circled sans serif digit two","short":"inverse circled two"},"mathspeak":{"default":"inverse circled 2"}},"key":"278B"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit three","alternative":"inverse circled sans serif digit three","short":"inverse circled three"},"mathspeak":{"default":"inverse circled 3"}},"key":"278C"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit four","alternative":"inverse circled sans serif digit four","short":"inverse circled four"},"mathspeak":{"default":"inverse circled 4"}},"key":"278D"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit five","alternative":"inverse circled sans serif digit five","short":"inverse circled five"},"mathspeak":{"default":"inverse circled 5"}},"key":"278E"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit six","alternative":"inverse circled sans serif digit six","short":"inverse circled six"},"mathspeak":{"default":"inverse circled 6"}},"key":"278F"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit seven","alternative":"inverse circled sans serif digit seven","short":"inverse circled seven"},"mathspeak":{"default":"inverse circled 7"}},"key":"2790"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit eight","alternative":"inverse circled sans serif digit eight","short":"inverse circled eight"},"mathspeak":{"default":"inverse circled 8"}},"key":"2791"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit nine","alternative":"inverse circled sans serif digit nine","short":"inverse circled nine"},"mathspeak":{"default":"inverse circled 9"}},"key":"2792"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif number ten","alternative":"inverse circled sans serif number ten","short":"inverse circled ten"},"mathspeak":{"default":"inverse circled 10"}},"key":"2793"},{"category":"No","mappings":{"default":{"default":"circled number ten on black square","short":"circled ten on black square"}},"key":"3248"},{"category":"No","mappings":{"default":{"default":"circled number twenty on black square","short":"circled twenty on black square"}},"key":"3249"},{"category":"No","mappings":{"default":{"default":"circled number thirty on black square","short":"circled thirty on black square"}},"key":"324A"},{"category":"No","mappings":{"default":{"default":"circled number forty on black square","short":"circled forty on black square"}},"key":"324B"},{"category":"No","mappings":{"default":{"default":"circled number fifty on black square","short":"circled fifty on black square"}},"key":"324C"},{"category":"No","mappings":{"default":{"default":"circled number sixty on black square","short":"circled sixty on black square"}},"key":"324D"},{"category":"No","mappings":{"default":{"default":"circled number seventy on black square","short":"circled seventy on black square"}},"key":"324E"},{"category":"No","mappings":{"default":{"default":"circled number eighty on black square","short":"circled eighty on black square"}},"key":"324F"},{"category":"No","mappings":{"default":{"default":"circled number twenty one","short":"circled twenty one"}},"key":"3251"},{"category":"No","mappings":{"default":{"default":"circled number twenty two","short":"circled twenty two"}},"key":"3252"},{"category":"No","mappings":{"default":{"default":"circled number twenty three","short":"circled twenty three"}},"key":"3253"},{"category":"No","mappings":{"default":{"default":"circled number twenty four","short":"circled twenty four"}},"key":"3254"},{"category":"No","mappings":{"default":{"default":"circled number twenty five","short":"circled twenty five"}},"key":"3255"},{"category":"No","mappings":{"default":{"default":"circled number twenty six","short":"circled twenty six"}},"key":"3256"},{"category":"No","mappings":{"default":{"default":"circled number twenty seven","short":"circled twenty seven"}},"key":"3257"},{"category":"No","mappings":{"default":{"default":"circled number twenty eight","short":"circled twenty eight"}},"key":"3258"},{"category":"No","mappings":{"default":{"default":"circled number twenty nine","short":"circled twenty nine"}},"key":"3259"},{"category":"No","mappings":{"default":{"default":"circled number thirty","short":"circled thirty"}},"key":"325A"},{"category":"No","mappings":{"default":{"default":"circled number thirty one","short":"circled thirty one"}},"key":"325B"},{"category":"No","mappings":{"default":{"default":"circled number thirty two","short":"circled thirty two"}},"key":"325C"},{"category":"No","mappings":{"default":{"default":"circled number thirty three","short":"circled thirty three"}},"key":"325D"},{"category":"No","mappings":{"default":{"default":"circled number thirty four","short":"circled thirty four"}},"key":"325E"},{"category":"No","mappings":{"default":{"default":"circled number thirty five","short":"circled thirty five"}},"key":"325F"},{"category":"No","mappings":{"default":{"default":"circled number thirty six","short":"circled thirty six"}},"key":"32B1"},{"category":"No","mappings":{"default":{"default":"circled number thirty seven","short":"circled thirty seven"}},"key":"32B2"},{"category":"No","mappings":{"default":{"default":"circled number thirty eight","short":"circled thirty eight"}},"key":"32B3"},{"category":"No","mappings":{"default":{"default":"circled number thirty nine","short":"circled thirty nine"}},"key":"32B4"},{"category":"No","mappings":{"default":{"default":"circled number forty","short":"circled forty"}},"key":"32B5"},{"category":"No","mappings":{"default":{"default":"circled number forty one","short":"circled forty one"}},"key":"32B6"},{"category":"No","mappings":{"default":{"default":"circled number forty two","short":"circled forty two"}},"key":"32B7"},{"category":"No","mappings":{"default":{"default":"circled number forty three","short":"circled forty three"}},"key":"32B8"},{"category":"No","mappings":{"default":{"default":"circled number forty four","short":"circled forty four"}},"key":"32B9"},{"category":"No","mappings":{"default":{"default":"circled number forty five","short":"circled forty five"}},"key":"32BA"},{"category":"No","mappings":{"default":{"default":"circled number forty six","short":"circled forty six"}},"key":"32BB"},{"category":"No","mappings":{"default":{"default":"circled number forty seven","short":"circled forty seven"}},"key":"32BC"},{"category":"No","mappings":{"default":{"default":"circled number forty eight","short":"circled forty eight"}},"key":"32BD"},{"category":"No","mappings":{"default":{"default":"circled number forty nine","short":"circled forty nine"}},"key":"32BE"},{"category":"No","mappings":{"default":{"default":"circled number fifty","short":"circled fifty"}},"key":"32BF"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit zero","short":"zero"},"mathspeak":{"default":"0"}},"key":"FF10"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit one","short":"one"},"mathspeak":{"default":"1"}},"key":"FF11"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit two","short":"two"},"mathspeak":{"default":"2"}},"key":"FF12"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit three","short":"three"},"mathspeak":{"default":"3"}},"key":"FF13"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit four","short":"four"},"mathspeak":{"default":"4"}},"key":"FF14"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit five","short":"five"},"mathspeak":{"default":"5"}},"key":"FF15"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit six","short":"six"},"mathspeak":{"default":"6"}},"key":"FF16"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit seven","short":"seven"},"mathspeak":{"default":"7"}},"key":"FF17"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit eight","short":"eight"},"mathspeak":{"default":"8"}},"key":"FF18"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit nine","short":"nine"},"mathspeak":{"default":"9"}},"key":"FF19"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit zero","alternative":"bold digit zero","short":"bold zero"},"mathspeak":{"default":"bold 0"}},"key":"1D7CE"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit one","alternative":"bold digit one","short":"bold one"},"mathspeak":{"default":"bold 1"}},"key":"1D7CF"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit two","alternative":"bold digit two","short":"bold two"},"mathspeak":{"default":"bold 2"}},"key":"1D7D0"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit three","alternative":"bold digit three","short":"bold three"},"mathspeak":{"default":"bold 3"}},"key":"1D7D1"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit four","alternative":"bold digit four","short":"bold four"},"mathspeak":{"default":"bold 4"}},"key":"1D7D2"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit five","alternative":"bold digit five","short":"bold five"},"mathspeak":{"default":"bold 5"}},"key":"1D7D3"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit six","alternative":"bold digit six","short":"bold six"},"mathspeak":{"default":"bold 6"}},"key":"1D7D4"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit seven","alternative":"bold digit seven","short":"bold seven"},"mathspeak":{"default":"bold 7"}},"key":"1D7D5"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit eight","alternative":"bold digit eight","short":"bold eight"},"mathspeak":{"default":"bold 8"}},"key":"1D7D6"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit nine","alternative":"bold digit nine","short":"bold nine"},"mathspeak":{"default":"bold 9"}},"key":"1D7D7"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit zero","alternative":"double struck zero","short":"blackboard zero"},"mathspeak":{"default":"blackboard 0"}},"key":"1D7D8"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit one","alternative":"double struck one","short":"blackboard one"},"mathspeak":{"default":"blackboard 1"}},"key":"1D7D9"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit two","alternative":"double struck two","short":"blackboard two"},"mathspeak":{"default":"blackboard 2"}},"key":"1D7DA"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit three","alternative":"double struck three","short":"blackboard three"},"mathspeak":{"default":"blackboard 3"}},"key":"1D7DB"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit four","alternative":"double struck four","short":"blackboard four"},"mathspeak":{"default":"blackboard 4"}},"key":"1D7DC"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit five","alternative":"double struck five","short":"blackboard five"},"mathspeak":{"default":"blackboard 5"}},"key":"1D7DD"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit six","alternative":"double struck six","short":"blackboard six"},"mathspeak":{"default":"blackboard 6"}},"key":"1D7DE"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit seven","alternative":"double struck seven","short":"blackboard seven"},"mathspeak":{"default":"blackboard 7"}},"key":"1D7DF"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit eight","alternative":"double struck eight","short":"blackboard eight"},"mathspeak":{"default":"blackboard 8"}},"key":"1D7E0"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit nine","alternative":"double struck nine","short":"blackboard nine"},"mathspeak":{"default":"blackboard 9"}},"key":"1D7E1"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit zero","alternative":"sans serif digit zero","short":"sans serif zero"},"mathspeak":{"default":"sans serif 0"}},"key":"1D7E2"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit one","alternative":"sans serif digit one","short":"sans serif one"},"mathspeak":{"default":"sans serif 1"}},"key":"1D7E3"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit two","alternative":"sans serif digit two","short":"sans serif two"},"mathspeak":{"default":"sans serif 2"}},"key":"1D7E4"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit three","alternative":"sans serif digit three","short":"sans serif three"},"mathspeak":{"default":"sans serif 3"}},"key":"1D7E5"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit four","alternative":"sans serif digit four","short":"sans serif four"},"mathspeak":{"default":"sans serif 4"}},"key":"1D7E6"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit five","alternative":"sans serif digit five","short":"sans serif five"},"mathspeak":{"default":"sans serif 5"}},"key":"1D7E7"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit six","alternative":"sans serif digit six","short":"sans serif six"},"mathspeak":{"default":"sans serif 6"}},"key":"1D7E8"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit seven","alternative":"sans serif digit seven","short":"sans serif seven"},"mathspeak":{"default":"sans serif 7"}},"key":"1D7E9"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit eight","alternative":"sans serif digit eight","short":"sans serif eight"},"mathspeak":{"default":"sans serif 8"}},"key":"1D7EA"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit nine","alternative":"sans serif digit nine","short":"sans serif nine"},"mathspeak":{"default":"sans serif 9"}},"key":"1D7EB"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit zero","alternative":"sans serif bold digit zero","short":"sans serif bold zero"},"mathspeak":{"default":"sans serif bold 0"}},"key":"1D7EC"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit one","alternative":"sans serif bold digit one","short":"sans serif bold one"},"mathspeak":{"default":"sans serif bold 1"}},"key":"1D7ED"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit two","alternative":"sans serif bold digit two","short":"sans serif bold two"},"mathspeak":{"default":"sans serif bold 2"}},"key":"1D7EE"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit three","alternative":"sans serif bold digit three","short":"sans serif bold three"},"mathspeak":{"default":"sans serif bold 3"}},"key":"1D7EF"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit four","alternative":"sans serif bold digit four","short":"sans serif bold four"},"mathspeak":{"default":"sans serif bold 4"}},"key":"1D7F0"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit five","alternative":"sans serif bold digit five","short":"sans serif bold five"},"mathspeak":{"default":"sans serif bold 5"}},"key":"1D7F1"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit six","alternative":"sans serif bold digit six","short":"sans serif bold six"},"mathspeak":{"default":"sans serif bold 6"}},"key":"1D7F2"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit seven","alternative":"sans serif bold digit seven","short":"sans serif bold seven"},"mathspeak":{"default":"sans serif bold 7"}},"key":"1D7F3"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit eight","alternative":"sans serif bold digit eight","short":"sans serif bold eight"},"mathspeak":{"default":"sans serif bold 8"}},"key":"1D7F4"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit nine","alternative":"sans serif bold digit nine","short":"sans serif bold nine"},"mathspeak":{"default":"sans serif bold 9"}},"key":"1D7F5"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit zero","alternative":"monospace zero","short":"thin zero"},"mathspeak":{"default":"monospace 0"}},"key":"1D7F6"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit one","alternative":"monospace one","short":"thin one"},"mathspeak":{"default":"monospace 1"}},"key":"1D7F7"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit two","alternative":"monospace two","short":"thin two"},"mathspeak":{"default":"monospace 2"}},"key":"1D7F8"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit three","alternative":"monospace three","short":"thin three"},"mathspeak":{"default":"monospace 3"}},"key":"1D7F9"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit four","alternative":"monospace four","short":"thin four"},"mathspeak":{"default":"monospace 4"}},"key":"1D7FA"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit five","alternative":"monospace five","short":"thin five"},"mathspeak":{"default":"monospace 5"}},"key":"1D7FB"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit six","alternative":"monospace six","short":"thin six"},"mathspeak":{"default":"monospace 6"}},"key":"1D7FC"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit seven","alternative":"monospace seven","short":"thin seven"},"mathspeak":{"default":"monospace 7"}},"key":"1D7FD"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit eight","alternative":"monospace eight","short":"thin eight"},"mathspeak":{"default":"monospace 8"}},"key":"1D7FE"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit nine","alternative":"monospace nine","short":"thin nine"},"mathspeak":{"default":"monospace 9"}},"key":"1D7FF"},{"category":"No","mappings":{"default":{"default":"digit zero full stop","short":"zero period"},"mathspeak":{"default":"0 period"}},"key":"1F100"},{"category":"No","mappings":{"default":{"default":"digit zero comma","short":"zero comma"},"mathspeak":{"default":"0 comma"}},"key":"1F101"},{"category":"No","mappings":{"default":{"default":"digit one comma","short":"one comma"},"mathspeak":{"default":"1 comma"}},"key":"1F102"},{"category":"No","mappings":{"default":{"default":"digit two comma","short":"two comma"},"mathspeak":{"default":"2 comma"}},"key":"1F103"},{"category":"No","mappings":{"default":{"default":"digit three comma","short":"three comma"},"mathspeak":{"default":"3 comma"}},"key":"1F104"},{"category":"No","mappings":{"default":{"default":"digit four comma","short":"four comma"},"mathspeak":{"default":"4 comma"}},"key":"1F105"},{"category":"No","mappings":{"default":{"default":"digit five comma","short":"five comma"},"mathspeak":{"default":"5 comma"}},"key":"1F106"},{"category":"No","mappings":{"default":{"default":"digit six comma","short":"six comma"},"mathspeak":{"default":"6 comma"}},"key":"1F107"},{"category":"No","mappings":{"default":{"default":"digit seven comma","short":"seven comma"},"mathspeak":{"default":"7 comma"}},"key":"1F108"},{"category":"No","mappings":{"default":{"default":"digit eight comma","short":"eight comma"},"mathspeak":{"default":"8 comma"}},"key":"1F109"},{"category":"No","mappings":{"default":{"default":"digit nine comma","short":"nine comma"},"mathspeak":{"default":"9 comma"}},"key":"1F10A"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/math_geometry.js b/unpacked/extensions/a11y/mathmaps/en/symbols/math_geometry.js
deleted file mode 100644
index 80f77bf6c0..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/math_geometry.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"box drawings light horizontal","alternative":"forms light horizontal"}},"key":"2500"},{"category":"So","mappings":{"default":{"default":"box drawings heavy horizontal","alternative":"forms heavy horizontal"}},"key":"2501"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical","alternative":"forms light vertical"}},"key":"2502"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical","alternative":"forms heavy vertical"}},"key":"2503"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash horizontal","alternative":"forms light triple dash horizontal"}},"key":"2504"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash horizontal","alternative":"forms heavy triple dash horizontal"}},"key":"2505"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash vertical","alternative":"forms light triple dash vertical"}},"key":"2506"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash vertical","alternative":"forms heavy triple dash vertical"}},"key":"2507"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash horizontal","alternative":"forms light quadruple dash horizontal"}},"key":"2508"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash horizontal","alternative":"forms heavy quadruple dash horizontal"}},"key":"2509"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash vertical","alternative":"forms light quadruple dash vertical"}},"key":"250A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash vertical","alternative":"forms heavy quadruple dash vertical"}},"key":"250B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and right","alternative":"forms light down and right"}},"key":"250C"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right heavy","alternative":"forms down light and right heavy"}},"key":"250D"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right light","alternative":"forms down heavy and right light"}},"key":"250E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and right","alternative":"forms heavy down and right"}},"key":"250F"},{"category":"So","mappings":{"default":{"default":"box drawings light down and left","alternative":"forms light down and left"}},"key":"2510"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left heavy","alternative":"forms down light and left heavy"}},"key":"2511"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left light","alternative":"forms down heavy and left light"}},"key":"2512"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and left","alternative":"forms heavy down and left"}},"key":"2513"},{"category":"So","mappings":{"default":{"default":"box drawings light up and right","alternative":"forms light up and right"}},"key":"2514"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right heavy","alternative":"forms up light and right heavy"}},"key":"2515"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right light","alternative":"forms up heavy and right light"}},"key":"2516"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and right","alternative":"forms heavy up and right"}},"key":"2517"},{"category":"So","mappings":{"default":{"default":"box drawings light up and left","alternative":"forms light up and left"}},"key":"2518"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left heavy","alternative":"forms up light and left heavy"}},"key":"2519"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left light","alternative":"forms up heavy and left light"}},"key":"251A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and left","alternative":"forms heavy up and left"}},"key":"251B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and right","alternative":"forms light vertical and right"}},"key":"251C"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and right heavy","alternative":"forms vertical light and right heavy"}},"key":"251D"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right down light","alternative":"forms up heavy and right down light"}},"key":"251E"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right up light","alternative":"forms down heavy and right up light"}},"key":"251F"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and right light","alternative":"forms vertical heavy and right light"}},"key":"2520"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right up heavy","alternative":"forms down light and right up heavy"}},"key":"2521"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right down heavy","alternative":"forms up light and right down heavy"}},"key":"2522"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and right","alternative":"forms heavy vertical and right"}},"key":"2523"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and left","alternative":"forms light vertical and left"}},"key":"2524"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and left heavy","alternative":"forms vertical light and left heavy"}},"key":"2525"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left down light","alternative":"forms up heavy and left down light"}},"key":"2526"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left up light","alternative":"forms down heavy and left up light"}},"key":"2527"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and left light","alternative":"forms vertical heavy and left light"}},"key":"2528"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left up heavy","alternative":"forms down light and left up heavy"}},"key":"2529"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left down heavy","alternative":"forms up light and left down heavy"}},"key":"252A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and left","alternative":"forms heavy vertical and left"}},"key":"252B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and horizontal","alternative":"forms light down and horizontal"}},"key":"252C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right down light","alternative":"forms left heavy and right down light"}},"key":"252D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left down light","alternative":"forms right heavy and left down light"}},"key":"252E"},{"category":"So","mappings":{"default":{"default":"box drawings down light and horizontal heavy","alternative":"forms down light and horizontal heavy"}},"key":"252F"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and horizontal light","alternative":"forms down heavy and horizontal light"}},"key":"2530"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left down heavy","alternative":"forms right light and left down heavy"}},"key":"2531"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right down heavy","alternative":"forms left light and right down heavy"}},"key":"2532"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and horizontal","alternative":"forms heavy down and horizontal"}},"key":"2533"},{"category":"So","mappings":{"default":{"default":"box drawings light up and horizontal","alternative":"forms light up and horizontal"}},"key":"2534"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right up light","alternative":"forms left heavy and right up light"}},"key":"2535"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left up light","alternative":"forms right heavy and left up light"}},"key":"2536"},{"category":"So","mappings":{"default":{"default":"box drawings up light and horizontal heavy","alternative":"forms up light and horizontal heavy"}},"key":"2537"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and horizontal light","alternative":"forms up heavy and horizontal light"}},"key":"2538"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left up heavy","alternative":"forms right light and left up heavy"}},"key":"2539"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right up heavy","alternative":"forms left light and right up heavy"}},"key":"253A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and horizontal","alternative":"forms heavy up and horizontal"}},"key":"253B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and horizontal","alternative":"forms light vertical and horizontal"}},"key":"253C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right vertical light","alternative":"forms left heavy and right vertical light"}},"key":"253D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left vertical light","alternative":"forms right heavy and left vertical light"}},"key":"253E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and horizontal heavy","alternative":"forms vertical light and horizontal heavy"}},"key":"253F"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and down horizontal light","alternative":"forms up heavy and down horizontal light"}},"key":"2540"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and up horizontal light","alternative":"forms down heavy and up horizontal light"}},"key":"2541"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and horizontal light","alternative":"forms vertical heavy and horizontal light"}},"key":"2542"},{"category":"So","mappings":{"default":{"default":"box drawings left up heavy and right down light","alternative":"forms left up heavy and right down light"}},"key":"2543"},{"category":"So","mappings":{"default":{"default":"box drawings right up heavy and left down light","alternative":"forms right up heavy and left down light"}},"key":"2544"},{"category":"So","mappings":{"default":{"default":"box drawings left down heavy and right up light","alternative":"forms left down heavy and right up light"}},"key":"2545"},{"category":"So","mappings":{"default":{"default":"box drawings right down heavy and left up light","alternative":"forms right down heavy and left up light"}},"key":"2546"},{"category":"So","mappings":{"default":{"default":"box drawings down light and up horizontal heavy","alternative":"forms down light and up horizontal heavy"}},"key":"2547"},{"category":"So","mappings":{"default":{"default":"box drawings up light and down horizontal heavy","alternative":"forms up light and down horizontal heavy"}},"key":"2548"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left vertical heavy","alternative":"forms right light and left vertical heavy"}},"key":"2549"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right vertical heavy","alternative":"forms left light and right vertical heavy"}},"key":"254A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and horizontal","alternative":"forms heavy vertical and horizontal"}},"key":"254B"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash horizontal","alternative":"forms light double dash horizontal"}},"key":"254C"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash horizontal","alternative":"forms heavy double dash horizontal"}},"key":"254D"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash vertical","alternative":"forms light double dash vertical"}},"key":"254E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash vertical","alternative":"forms heavy double dash vertical"}},"key":"254F"},{"category":"So","mappings":{"default":{"default":"box drawings double horizontal","alternative":"forms double horizontal"}},"key":"2550"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical","alternative":"forms double vertical"}},"key":"2551"},{"category":"So","mappings":{"default":{"default":"box drawings down single and right double","alternative":"forms down single and right double"}},"key":"2552"},{"category":"So","mappings":{"default":{"default":"box drawings down double and right single","alternative":"forms down double and right single"}},"key":"2553"},{"category":"So","mappings":{"default":{"default":"box drawings double down and right","alternative":"forms double down and right"}},"key":"2554"},{"category":"So","mappings":{"default":{"default":"box drawings down single and left double","alternative":"forms down single and left double"}},"key":"2555"},{"category":"So","mappings":{"default":{"default":"box drawings down double and left single","alternative":"forms down double and left single"}},"key":"2556"},{"category":"So","mappings":{"default":{"default":"box drawings double down and left","alternative":"forms double down and left"}},"key":"2557"},{"category":"So","mappings":{"default":{"default":"box drawings up single and right double","alternative":"forms up single and right double"}},"key":"2558"},{"category":"So","mappings":{"default":{"default":"box drawings up double and right single","alternative":"forms up double and right single"}},"key":"2559"},{"category":"So","mappings":{"default":{"default":"box drawings double up and right","alternative":"forms double up and right"}},"key":"255A"},{"category":"So","mappings":{"default":{"default":"box drawings up single and left double","alternative":"forms up single and left double"}},"key":"255B"},{"category":"So","mappings":{"default":{"default":"box drawings up double and left single","alternative":"forms up double and left single"}},"key":"255C"},{"category":"So","mappings":{"default":{"default":"box drawings double up and left","alternative":"forms double up and left"}},"key":"255D"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and right double","alternative":"forms vertical single and right double"}},"key":"255E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and right single","alternative":"forms vertical double and right single"}},"key":"255F"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and right","alternative":"forms double vertical and right"}},"key":"2560"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and left double","alternative":"forms vertical single and left double"}},"key":"2561"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and left single","alternative":"forms vertical double and left single"}},"key":"2562"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and left","alternative":"forms double vertical and left"}},"key":"2563"},{"category":"So","mappings":{"default":{"default":"box drawings down single and horizontal double","alternative":"forms down single and horizontal double"}},"key":"2564"},{"category":"So","mappings":{"default":{"default":"box drawings down double and horizontal single","alternative":"forms down double and horizontal single"}},"key":"2565"},{"category":"So","mappings":{"default":{"default":"box drawings double down and horizontal","alternative":"forms double down and horizontal"}},"key":"2566"},{"category":"So","mappings":{"default":{"default":"box drawings up single and horizontal double","alternative":"forms up single and horizontal double"}},"key":"2567"},{"category":"So","mappings":{"default":{"default":"box drawings up double and horizontal single","alternative":"forms up double and horizontal single"}},"key":"2568"},{"category":"So","mappings":{"default":{"default":"box drawings double up and horizontal","alternative":"forms double up and horizontal"}},"key":"2569"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and horizontal double","alternative":"forms vertical single and horizontal double"}},"key":"256A"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and horizontal single","alternative":"forms vertical double and horizontal single"}},"key":"256B"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and horizontal","alternative":"forms double vertical and horizontal"}},"key":"256C"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and right","alternative":"forms light arc down and right"}},"key":"256D"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and left","alternative":"forms light arc down and left"}},"key":"256E"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and left","alternative":"forms light arc up and left"}},"key":"256F"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and right","alternative":"forms light arc up and right"}},"key":"2570"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper right to lower left","alternative":"forms light diagonal upper right to lower left"}},"key":"2571"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper left to lower right","alternative":"forms light diagonal upper left to lower right"}},"key":"2572"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal cross","alternative":"forms light diagonal cross"}},"key":"2573"},{"category":"So","mappings":{"default":{"default":"box drawings light left","alternative":"forms light left"}},"key":"2574"},{"category":"So","mappings":{"default":{"default":"box drawings light up","alternative":"forms light up"}},"key":"2575"},{"category":"So","mappings":{"default":{"default":"box drawings light right","alternative":"forms light right"}},"key":"2576"},{"category":"So","mappings":{"default":{"default":"box drawings light down","alternative":"forms light down"}},"key":"2577"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left","alternative":"forms heavy left"}},"key":"2578"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up","alternative":"forms heavy up"}},"key":"2579"},{"category":"So","mappings":{"default":{"default":"box drawings heavy right","alternative":"forms heavy right"}},"key":"257A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down","alternative":"forms heavy down"}},"key":"257B"},{"category":"So","mappings":{"default":{"default":"box drawings light left and heavy right","alternative":"forms light left and heavy right"}},"key":"257C"},{"category":"So","mappings":{"default":{"default":"box drawings light up and heavy down","alternative":"forms light up and heavy down"}},"key":"257D"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left and light right","alternative":"forms heavy left and light right"}},"key":"257E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and light down","alternative":"forms heavy up and light down"}},"key":"257F"},{"category":"So","mappings":{"default":{"default":"upper half block"}},"key":"2580"},{"category":"So","mappings":{"default":{"default":"lower one eighth block"}},"key":"2581"},{"category":"So","mappings":{"default":{"default":"lower one quarter block"}},"key":"2582"},{"category":"So","mappings":{"default":{"default":"lower three eighths block"}},"key":"2583"},{"category":"So","mappings":{"default":{"default":"lower half block"}},"key":"2584"},{"category":"So","mappings":{"default":{"default":"lower five eighths block"}},"key":"2585"},{"category":"So","mappings":{"default":{"default":"lower three quarters block","alternative":"lower three quarter block"}},"key":"2586"},{"category":"So","mappings":{"default":{"default":"lower seven eighths block"}},"key":"2587"},{"category":"So","mappings":{"default":{"default":"full block"}},"key":"2588"},{"category":"So","mappings":{"default":{"default":"left seven eighths block"}},"key":"2589"},{"category":"So","mappings":{"default":{"default":"left three quarters block","alternative":"left three quarter block"}},"key":"258A"},{"category":"So","mappings":{"default":{"default":"left five eighths block"}},"key":"258B"},{"category":"So","mappings":{"default":{"default":"left half block"}},"key":"258C"},{"category":"So","mappings":{"default":{"default":"left three eighths block"}},"key":"258D"},{"category":"So","mappings":{"default":{"default":"left one quarter block"}},"key":"258E"},{"category":"So","mappings":{"default":{"default":"left one eighth block"}},"key":"258F"},{"category":"So","mappings":{"default":{"default":"right half block"}},"key":"2590"},{"category":"So","mappings":{"default":{"default":"light shade"}},"key":"2591"},{"category":"So","mappings":{"default":{"default":"medium shade"}},"key":"2592"},{"category":"So","mappings":{"default":{"default":"dark shade"}},"key":"2593"},{"category":"So","mappings":{"default":{"default":"upper one eighth block"}},"key":"2594"},{"category":"So","mappings":{"default":{"default":"right one eighth block"}},"key":"2595"},{"category":"So","mappings":{"default":{"default":"quadrant lower left"}},"key":"2596"},{"category":"So","mappings":{"default":{"default":"quadrant lower right"}},"key":"2597"},{"category":"So","mappings":{"default":{"default":"quadrant upper left"}},"key":"2598"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower left and lower right"}},"key":"2599"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower right"}},"key":"259A"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower left"}},"key":"259B"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower right"}},"key":"259C"},{"category":"So","mappings":{"default":{"default":"quadrant upper right"}},"key":"259D"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left"}},"key":"259E"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left and lower right"}},"key":"259F"},{"category":"So","mappings":{"default":{"default":"black square"}},"key":"25A0"},{"category":"So","mappings":{"default":{"default":"white square"}},"key":"25A1"},{"category":"So","mappings":{"default":{"default":"white square with rounded corners"}},"key":"25A2"},{"category":"So","mappings":{"default":{"default":"white square containing black small square"}},"key":"25A3"},{"category":"So","mappings":{"default":{"default":"square with horizontal fill"}},"key":"25A4"},{"category":"So","mappings":{"default":{"default":"square with vertical fill"}},"key":"25A5"},{"category":"So","mappings":{"default":{"default":"square with orthogonal crosshatch fill"}},"key":"25A6"},{"category":"So","mappings":{"default":{"default":"square with upper left to lower right fill"}},"key":"25A7"},{"category":"So","mappings":{"default":{"default":"square with upper right to lower left fill"}},"key":"25A8"},{"category":"So","mappings":{"default":{"default":"square with diagonal crosshatch fill"}},"key":"25A9"},{"category":"So","mappings":{"default":{"default":"black small square"}},"key":"25AA"},{"category":"So","mappings":{"default":{"default":"white small square"}},"key":"25AB"},{"category":"So","mappings":{"default":{"default":"black rectangle"}},"key":"25AC"},{"category":"So","mappings":{"default":{"default":"white rectangle"}},"key":"25AD"},{"category":"So","mappings":{"default":{"default":"black vertical rectangle"}},"key":"25AE"},{"category":"So","mappings":{"default":{"default":"white vertical rectangle"}},"key":"25AF"},{"category":"So","mappings":{"default":{"default":"black parallelogram"}},"key":"25B0"},{"category":"So","mappings":{"default":{"default":"white parallelogram"}},"key":"25B1"},{"category":"So","mappings":{"default":{"default":"black up pointing triangle","alternative":"black up pointing triangle"}},"key":"25B2"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle","alternative":"white up pointing triangle"}},"key":"25B3"},{"category":"So","mappings":{"default":{"default":"black up pointing small triangle","alternative":"black up pointing small triangle"}},"key":"25B4"},{"category":"So","mappings":{"default":{"default":"white up pointing small triangle","alternative":"white up pointing small triangle"}},"key":"25B5"},{"category":"So","mappings":{"default":{"default":"black right pointing triangle","alternative":"black right pointing triangle"}},"key":"25B6"},{"category":"Sm","mappings":{"default":{"default":"white right pointing triangle","alternative":"white right pointing triangle"}},"key":"25B7"},{"category":"So","mappings":{"default":{"default":"black right pointing small triangle","alternative":"black right pointing small triangle"}},"key":"25B8"},{"category":"So","mappings":{"default":{"default":"white right pointing small triangle","alternative":"white right pointing small triangle"}},"key":"25B9"},{"category":"So","mappings":{"default":{"default":"black right pointing pointer","alternative":"black right pointing pointer"}},"key":"25BA"},{"category":"So","mappings":{"default":{"default":"white right pointing pointer","alternative":"white right pointing pointer"}},"key":"25BB"},{"category":"So","mappings":{"default":{"default":"black down pointing triangle","alternative":"black down pointing triangle"}},"key":"25BC"},{"category":"So","mappings":{"default":{"default":"white down pointing triangle","alternative":"white down pointing triangle"}},"key":"25BD"},{"category":"So","mappings":{"default":{"default":"black down pointing small triangle","alternative":"black down pointing small triangle"}},"key":"25BE"},{"category":"So","mappings":{"default":{"default":"white down pointing small triangle","alternative":"white down pointing small triangle"}},"key":"25BF"},{"category":"So","mappings":{"default":{"default":"black left pointing triangle","alternative":"black left pointing triangle"}},"key":"25C0"},{"category":"Sm","mappings":{"default":{"default":"white left pointing triangle","alternative":"white left pointing triangle"}},"key":"25C1"},{"category":"So","mappings":{"default":{"default":"black left pointing small triangle","alternative":"black left pointing small triangle"}},"key":"25C2"},{"category":"So","mappings":{"default":{"default":"white left pointing small triangle","alternative":"white left pointing small triangle"}},"key":"25C3"},{"category":"So","mappings":{"default":{"default":"black left pointing pointer","alternative":"black left pointing pointer"}},"key":"25C4"},{"category":"So","mappings":{"default":{"default":"white left pointing pointer","alternative":"white left pointing pointer"}},"key":"25C5"},{"category":"So","mappings":{"default":{"default":"black diamond"}},"key":"25C6"},{"category":"So","mappings":{"default":{"default":"white diamond"}},"key":"25C7"},{"category":"So","mappings":{"default":{"default":"white diamond containing black small diamond"}},"key":"25C8"},{"category":"So","mappings":{"default":{"default":"fisheye"}},"key":"25C9"},{"category":"So","mappings":{"default":{"default":"lozenge"}},"key":"25CA"},{"category":"So","mappings":{"default":{"default":"white circle"}},"key":"25CB"},{"category":"So","mappings":{"default":{"default":"dotted circle"}},"key":"25CC"},{"category":"So","mappings":{"default":{"default":"circle with vertical fill"}},"key":"25CD"},{"category":"So","mappings":{"default":{"default":"bullseye"}},"key":"25CE"},{"category":"So","mappings":{"default":{"default":"black circle"}},"key":"25CF"},{"category":"So","mappings":{"default":{"default":"circle with left half black"}},"key":"25D0"},{"category":"So","mappings":{"default":{"default":"circle with right half black"}},"key":"25D1"},{"category":"So","mappings":{"default":{"default":"circle with lower half black"}},"key":"25D2"},{"category":"So","mappings":{"default":{"default":"circle with upper half black"}},"key":"25D3"},{"category":"So","mappings":{"default":{"default":"circle with upper right quadrant black"}},"key":"25D4"},{"category":"So","mappings":{"default":{"default":"circle with all but upper left quadrant black"}},"key":"25D5"},{"category":"So","mappings":{"default":{"default":"left half black circle"}},"key":"25D6"},{"category":"So","mappings":{"default":{"default":"right half black circle"}},"key":"25D7"},{"category":"So","mappings":{"default":{"default":"inverse bullet"}},"key":"25D8"},{"category":"So","mappings":{"default":{"default":"inverse white circle"}},"key":"25D9"},{"category":"So","mappings":{"default":{"default":"upper half inverse white circle"}},"key":"25DA"},{"category":"So","mappings":{"default":{"default":"lower half inverse white circle"}},"key":"25DB"},{"category":"So","mappings":{"default":{"default":"upper left quadrant circular arc"}},"key":"25DC"},{"category":"So","mappings":{"default":{"default":"upper right quadrant circular arc"}},"key":"25DD"},{"category":"So","mappings":{"default":{"default":"lower right quadrant circular arc"}},"key":"25DE"},{"category":"So","mappings":{"default":{"default":"lower left quadrant circular arc"}},"key":"25DF"},{"category":"So","mappings":{"default":{"default":"upper half circle"}},"key":"25E0"},{"category":"So","mappings":{"default":{"default":"lower half circle"}},"key":"25E1"},{"category":"So","mappings":{"default":{"default":"black lower right triangle"}},"key":"25E2"},{"category":"So","mappings":{"default":{"default":"black lower left triangle"}},"key":"25E3"},{"category":"So","mappings":{"default":{"default":"black upper left triangle"}},"key":"25E4"},{"category":"So","mappings":{"default":{"default":"black upper right triangle"}},"key":"25E5"},{"category":"So","mappings":{"default":{"default":"white bullet"}},"key":"25E6"},{"category":"So","mappings":{"default":{"default":"square with left half black"}},"key":"25E7"},{"category":"So","mappings":{"default":{"default":"square with right half black"}},"key":"25E8"},{"category":"So","mappings":{"default":{"default":"square with upper left diagonal half black"}},"key":"25E9"},{"category":"So","mappings":{"default":{"default":"square with lower right diagonal half black"}},"key":"25EA"},{"category":"So","mappings":{"default":{"default":"white square with vertical bisecting line"}},"key":"25EB"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle with dot","alternative":"white up pointing triangle with dot"}},"key":"25EC"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with left half black","alternative":"up pointing triangle with left half black"}},"key":"25ED"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with right half black","alternative":"up pointing triangle with right half black"}},"key":"25EE"},{"category":"So","mappings":{"default":{"default":"large circle"}},"key":"25EF"},{"category":"So","mappings":{"default":{"default":"white square with upper left quadrant"}},"key":"25F0"},{"category":"So","mappings":{"default":{"default":"white square with lower left quadrant"}},"key":"25F1"},{"category":"So","mappings":{"default":{"default":"white square with lower right quadrant"}},"key":"25F2"},{"category":"So","mappings":{"default":{"default":"white square with upper right quadrant"}},"key":"25F3"},{"category":"So","mappings":{"default":{"default":"white circle with upper left quadrant"}},"key":"25F4"},{"category":"So","mappings":{"default":{"default":"white circle with lower left quadrant"}},"key":"25F5"},{"category":"So","mappings":{"default":{"default":"white circle with lower right quadrant"}},"key":"25F6"},{"category":"So","mappings":{"default":{"default":"white circle with upper right quadrant"}},"key":"25F7"},{"category":"Sm","mappings":{"default":{"default":"upper left triangle"}},"key":"25F8"},{"category":"Sm","mappings":{"default":{"default":"upper right triangle"}},"key":"25F9"},{"category":"Sm","mappings":{"default":{"default":"lower left triangle"}},"key":"25FA"},{"category":"Sm","mappings":{"default":{"default":"white medium square"}},"key":"25FB"},{"category":"Sm","mappings":{"default":{"default":"black medium square"}},"key":"25FC"},{"category":"Sm","mappings":{"default":{"default":"white medium small square"}},"key":"25FD"},{"category":"Sm","mappings":{"default":{"default":"black medium small square"}},"key":"25FE"},{"category":"Sm","mappings":{"default":{"default":"lower right triangle"}},"key":"25FF"},{"category":"So","mappings":{"default":{"default":"square with top half black"}},"key":"2B12"},{"category":"So","mappings":{"default":{"default":"square with bottom half black"}},"key":"2B13"},{"category":"So","mappings":{"default":{"default":"square with upper right diagonal half black"}},"key":"2B14"},{"category":"So","mappings":{"default":{"default":"square with lower left diagonal half black"}},"key":"2B15"},{"category":"So","mappings":{"default":{"default":"diamond with left half black"}},"key":"2B16"},{"category":"So","mappings":{"default":{"default":"diamond with right half black"}},"key":"2B17"},{"category":"So","mappings":{"default":{"default":"diamond with top half black"}},"key":"2B18"},{"category":"So","mappings":{"default":{"default":"diamond with bottom half black"}},"key":"2B19"},{"category":"So","mappings":{"default":{"default":"dotted square"}},"key":"2B1A"},{"category":"So","mappings":{"default":{"default":"black large square"}},"key":"2B1B"},{"category":"So","mappings":{"default":{"default":"white large square"}},"key":"2B1C"},{"category":"So","mappings":{"default":{"default":"black very small square"}},"key":"2B1D"},{"category":"So","mappings":{"default":{"default":"white very small square"}},"key":"2B1E"},{"category":"So","mappings":{"default":{"default":"black pentagon"}},"key":"2B1F"},{"category":"So","mappings":{"default":{"default":"white pentagon"}},"key":"2B20"},{"category":"So","mappings":{"default":{"default":"white hexagon"}},"key":"2B21"},{"category":"So","mappings":{"default":{"default":"black hexagon"}},"key":"2B22"},{"category":"So","mappings":{"default":{"default":"horizontal black hexagon"}},"key":"2B23"},{"category":"So","mappings":{"default":{"default":"black large circle"}},"key":"2B24"},{"category":"So","mappings":{"default":{"default":"black medium diamond"}},"key":"2B25"},{"category":"So","mappings":{"default":{"default":"white medium diamond"}},"key":"2B26"},{"category":"So","mappings":{"default":{"default":"black medium lozenge"}},"key":"2B27"},{"category":"So","mappings":{"default":{"default":"white medium lozenge"}},"key":"2B28"},{"category":"So","mappings":{"default":{"default":"black small diamond"}},"key":"2B29"},{"category":"So","mappings":{"default":{"default":"black small lozenge"}},"key":"2B2A"},{"category":"So","mappings":{"default":{"default":"white small lozenge"}},"key":"2B2B"},{"category":"So","mappings":{"default":{"default":"black horizontal ellipse"}},"key":"2B2C"},{"category":"So","mappings":{"default":{"default":"white horizontal ellipse"}},"key":"2B2D"},{"category":"So","mappings":{"default":{"default":"black vertical ellipse"}},"key":"2B2E"},{"category":"So","mappings":{"default":{"default":"white vertical ellipse"}},"key":"2B2F"},{"category":"So","mappings":{"default":{"default":"white medium star"}},"key":"2B50"},{"category":"So","mappings":{"default":{"default":"black small star"}},"key":"2B51"},{"category":"So","mappings":{"default":{"default":"white small star"}},"key":"2B52"},{"category":"So","mappings":{"default":{"default":"black right pointing pentagon"}},"key":"2B53"},{"category":"So","mappings":{"default":{"default":"white right pointing pentagon"}},"key":"2B54"},{"category":"So","mappings":{"default":{"default":"heavy large circle"}},"key":"2B55"},{"category":"So","mappings":{"default":{"default":"heavy oval with oval inside"}},"key":"2B56"},{"category":"So","mappings":{"default":{"default":"heavy circle with circle inside"}},"key":"2B57"},{"category":"So","mappings":{"default":{"default":"heavy circle"}},"key":"2B58"},{"category":"So","mappings":{"default":{"default":"heavy circled saltire"}},"key":"2B59"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/math_harpoons.js b/unpacked/extensions/a11y/mathmaps/en/symbols/math_harpoons.js
deleted file mode 100644
index f74813a0d8..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/math_harpoons.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"leftwards harpoon with barb upwards","short":"left harpoon with barb up"}},"key":"21BC"},{"category":"So","mappings":{"default":{"default":"leftwards harpoon with barb downwards","short":"left harpoon with barb down"}},"key":"21BD"},{"category":"So","mappings":{"default":{"default":"upwards harpoon with barb rightwards","short":"up harpoon with barb right"}},"key":"21BE"},{"category":"So","mappings":{"default":{"default":"upwards harpoon with barb leftwards","short":"up harpoon with barb left"}},"key":"21BF"},{"category":"So","mappings":{"default":{"default":"rightwards harpoon with barb upwards","short":"right harpoon with barb up"}},"key":"21C0"},{"category":"So","mappings":{"default":{"default":"rightwards harpoon with barb downwards","short":"right harpoon with barb down"}},"key":"21C1"},{"category":"So","mappings":{"default":{"default":"downwards harpoon with barb rightwards","short":"down harpoon with barb right"}},"key":"21C2"},{"category":"So","mappings":{"default":{"default":"downwards harpoon with barb leftwards","short":"down harpoon with barb left"}},"key":"21C3"},{"category":"So","mappings":{"default":{"default":"leftwards harpoon over rightwards harpoon","short":"left harpoon over right harpoon"}},"key":"21CB"},{"category":"So","mappings":{"default":{"default":"rightwards harpoon over leftwards harpoon","short":"right harpoon over left harpoon"}},"key":"21CC"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb down harpoon"}},"key":"294A"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb up harpoon"}},"key":"294B"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb left harpoon"}},"key":"294C"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb right harpoon"}},"key":"294D"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb up harpoon"}},"key":"294E"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb right harpoon"}},"key":"294F"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb down harpoon"}},"key":"2950"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb left harpoon"}},"key":"2951"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up to bar","short":"left harpoon with barb up to bar"}},"key":"2952"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up to bar","short":"right harpoon with barb up to bar"}},"key":"2953"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb right to bar","short":"up harpoon with barb right to bar"}},"key":"2954"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb right to bar","short":"down harpoon with barb right to bar"}},"key":"2955"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down to bar","short":"left harpoon with barb down to bar"}},"key":"2956"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down to bar","short":"right harpoon with barb down to bar"}},"key":"2957"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left to bar","short":"up harpoon with barb left to bar"}},"key":"2958"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left to bar","short":"down harpoon with barb left to bar"}},"key":"2959"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up from bar","short":"left harpoon with barb up from bar"}},"key":"295A"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up from bar","short":"right harpoon with barb up from bar"}},"key":"295B"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb right from bar","short":"up harpoon with barb right from bar"}},"key":"295C"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb right from bar","short":"down harpoon with barb right from bar"}},"key":"295D"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down from bar","short":"left harpoon with barb down from bar"}},"key":"295E"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down from bar","short":"right harpoon with barb down from bar"}},"key":"295F"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left from bar","short":"up harpoon with barb left from bar"}},"key":"2960"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left from bar","short":"down harpoon with barb left from bar"}},"key":"2961"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up above leftwards harpoon with barb down","short":"left harpoon with barb up above left harpoon with barb down"}},"key":"2962"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left beside upwards harpoon with barb right","short":"up harpoon with barb left beside up harpoon with barb right"}},"key":"2963"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up above rightwards harpoon with barb down","short":"right harpoon with barb up above right harpoon with barb down"}},"key":"2964"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left beside downwards harpoon with barb right","short":"down harpoon with barb left beside down harpoon with barb right"}},"key":"2965"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up above rightwards harpoon with barb up","short":"left harpoon with barb up above right harpoon with barb up"}},"key":"2966"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down above rightwards harpoon with barb down","short":"left harpoon with barb down above right harpoon with barb down"}},"key":"2967"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up above leftwards harpoon with barb up","short":"right harpoon with barb up above left harpoon with barb up"}},"key":"2968"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down above leftwards harpoon with barb down","short":"right harpoon with barb down above left harpoon with barb down"}},"key":"2969"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up above long dash","short":"left harpoon with barb up above long dash"}},"key":"296A"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down below long dash","short":"left harpoon with barb down below long dash"}},"key":"296B"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up above long dash","short":"right harpoon with barb up above long dash"}},"key":"296C"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down below long dash","short":"right harpoon with barb down below long dash"}},"key":"296D"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left beside downwards harpoon with barb right","short":"up harpoon with barb left beside down harpoon with barb right"}},"key":"296E"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left beside upwards harpoon with barb right","short":"down harpoon with barb left beside up harpoon with barb right"}},"key":"296F"},{"category":"Sm","mappings":{"default":{"default":"left fish tail"}},"key":"297C"},{"category":"Sm","mappings":{"default":{"default":"right fish tail"}},"key":"297D"},{"category":"Sm","mappings":{"default":{"default":"up fish tail"}},"key":"297E"},{"category":"Sm","mappings":{"default":{"default":"down fish tail"}},"key":"297F"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/math_non_characters.js b/unpacked/extensions/a11y/mathmaps/en/symbols/math_non_characters.js
deleted file mode 100644
index fa64c5f718..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/math_non_characters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small h over two time greek letter pi","alternative":"italic small h over two pi","short":"italic h over two pi"},"physics":{"default":"planck constant over two pi","alternative":"planck constant over 2 pi"}},"key":"210F"},{"category":"So","mappings":{"default":{"default":"l b bar symbol","short":"l b bar"}},"key":"2114"},{"category":"So","mappings":{"default":{"default":"numero sign","alternative":"numero","short":"numero"}},"key":"2116"},{"category":"So","mappings":{"default":{"default":"sound recording copyright"}},"key":"2117"},{"category":"So","mappings":{"default":{"default":"prescription take"}},"key":"211E"},{"category":"So","mappings":{"default":{"default":"response"}},"key":"211F"},{"category":"So","mappings":{"default":{"default":"service mark"}},"key":"2120"},{"category":"So","mappings":{"default":{"default":"telephone sign","alternative":"t e l symbol"}},"key":"2121"},{"category":"So","mappings":{"default":{"default":"trade mark sign","alternative":"trademark","short":"trade mark"}},"key":"2122"},{"category":"So","mappings":{"default":{"default":"versicle"}},"key":"2123"},{"category":"So","mappings":{"default":{"default":"ounce sign","alternative":"ounce","short":"ounce"}},"key":"2125"},{"category":"Lu","mappings":{"default":{"default":"ohm sign","alternative":"ohm","short":"ohm"}},"key":"2126"},{"category":"So","mappings":{"default":{"default":"inverted ohm sign","alternative":"mho","short":"inverted ohm"}},"key":"2127"},{"category":"Lu","mappings":{"default":{"default":"kelvin sign","alternative":"degrees kelvin","short":"kelvin"}},"key":"212A"},{"category":"Lu","mappings":{"default":{"default":"angstrom sign","alternative":"angstrom unit","short":"angstrom"}},"key":"212B"},{"category":"So","mappings":{"default":{"default":"estimated symbol","short":"estimated"}},"key":"212E"},{"category":"Lu","mappings":{"default":{"default":"turned capital f","alternative":"turned f","short":"turned cap f"},"mathspeak":{"default":"turned upper F"}},"key":"2132"},{"category":"Ll","mappings":{"default":{"default":"information source"}},"key":"2139"},{"category":"So","mappings":{"default":{"default":"rotated capital q","short":"rotated cap q"},"mathspeak":{"default":"rotated upper Q"}},"key":"213A"},{"category":"So","mappings":{"default":{"default":"facsimile sign"}},"key":"213B"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif capital g","short":"turned sans serif cap g"},"mathspeak":{"default":"turned sans serif upper G"}},"key":"2141"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif capital l","short":"turned sans serif cap l"},"mathspeak":{"default":"turned sans serif upper L"}},"key":"2142"},{"category":"Sm","mappings":{"default":{"default":"reversed sans serif capital l","short":"reversed sans serif cap l"},"mathspeak":{"default":"reversed sans serif upper L"}},"key":"2143"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif capital y","short":"turned sans serif cap y"},"mathspeak":{"default":"turned sans serif upper Y"}},"key":"2144"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/math_symbols.js b/unpacked/extensions/a11y/mathmaps/en/symbols/math_symbols.js
deleted file mode 100644
index b52ead27af..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/math_symbols.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Po","mappings":{"default":{"default":"factorial operator","alternative":"exclamation mark","short":"factorial"},"mathspeak":{"default":"exclamation-mark"}},"key":"0021"},{"category":"Po","mappings":{"default":{"default":"quotation mark"},"mathspeak":{"default":"quotation-mark"}},"key":"0022"},{"category":"Po","mappings":{"default":{"default":"number sign","alternative":"hash","short":"number"},"mathspeak":{"default":"number-sign","brief":"num-sign","sbrief":"num-sign"}},"key":"0023"},{"category":"Sc","mappings":{"default":{"default":"dollar sign","short":"dollar"},"mathspeak":{"default":"dollar-sign"}},"key":"0024"},{"category":"Po","mappings":{"default":{"default":"percent sign","short":"percent"},"mathspeak":{"default":"percent-sign"}},"key":"0025"},{"category":"Po","mappings":{"default":{"default":"ampersand"}},"key":"0026"},{"category":"Po","mappings":{"default":{"default":"apostrophe","alternative":"apostrophe quote"},"mathspeak":{"default":"prime"}},"key":"0027"},{"category":"Po","mappings":{"default":{"default":"asterisk"}},"key":"002A"},{"category":"Sm","mappings":{"default":{"default":"plus sign","short":"plus"}},"key":"002B"},{"category":"Po","mappings":{"default":{"default":"comma"}},"key":"002C"},{"category":"Pd","mappings":{"default":{"default":"hyphen minus","short":"minus"},"mathspeak":{"default":"hyphen"}},"key":"002D"},{"category":"Po","mappings":{"default":{"default":"full stop","alternative":"period"},"mathspeak":{"default":"period"}},"key":"002E"},{"category":"Po","mappings":{"default":{"default":"solidus","alternative":"slash"},"mathspeak":{"default":"slash"},"emacspeak":{"default":"slash"}},"key":"002F"},{"category":"Po","mappings":{"default":{"default":"colon"}},"key":"003A"},{"category":"Po","mappings":{"default":{"default":"semicolon"}},"key":"003B"},{"category":"Sm","mappings":{"default":{"default":"less than sign","short":"less than"},"mathspeak":{"default":"less-than"}},"key":"003C"},{"category":"Sm","mappings":{"default":{"default":"equals sign","short":"equals"}},"key":"003D"},{"category":"Sm","mappings":{"default":{"default":"greater than sign","short":"greater than"},"mathspeak":{"default":"greater-than"}},"key":"003E"},{"category":"Po","mappings":{"default":{"default":"question mark"},"mathspeak":{"default":"question-mark"}},"key":"003F"},{"category":"Po","mappings":{"default":{"default":"commercial at","short":"at"},"mathspeak":{"default":"commercial-at"}},"key":"0040"},{"category":"Po","mappings":{"default":{"default":"reverse solidus","alternative":"backslash"},"mathspeak":{"default":"reverse-solidus"}},"key":"005C"},{"category":"Sk","mappings":{"default":{"default":"circumflex accent","alternative":"spacing circumflex","short":"hat"},"mathspeak":{"default":"caret"}},"key":"005E"},{"category":"Pc","mappings":{"default":{"default":"low line","alternative":"spacing underscore"},"mathspeak":{"default":"bar"}},"key":"005F"},{"category":"Sk","mappings":{"default":{"default":"grave accent","alternative":"spacing grave","short":"grave"},"mathspeak":{"default":"grave"}},"key":"0060"},{"category":"Sm","mappings":{"default":{"default":"vertical line","alternative":"vertical bar"},"mathspeak":{"default":"vertical-bar"}},"key":"007C"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"007E"},{"category":"Po","mappings":{"default":{"default":"inverted exclamation mark"},"mathspeak":{"default":"inverted-exclamation-mark"}},"key":"00A1"},{"category":"Sc","mappings":{"default":{"default":"cent sign","short":"cent"},"mathspeak":{"default":"cent-sign"}},"key":"00A2"},{"category":"Sc","mappings":{"default":{"default":"pound sign","short":"pound"},"mathspeak":{"default":"pound-sign"}},"key":"00A3"},{"category":"Sc","mappings":{"default":{"default":"currency sign","short":"currency"},"mathspeak":{"default":"currency-sign"}},"key":"00A4"},{"category":"Sc","mappings":{"default":{"default":"yen sign","short":"yen"},"mathspeak":{"default":"yen-sign"}},"key":"00A5"},{"category":"So","mappings":{"default":{"default":"broken bar","alternative":"broken vertical bar"},"mathspeak":{"default":"broken-vertical-bar"}},"key":"00A6"},{"category":"Po","mappings":{"default":{"default":"section sign","short":"section"},"mathspeak":{"default":"section-sign"}},"key":"00A7"},{"category":"Sk","mappings":{"default":{"default":"diaeresis","alternative":"spacing diaeresis","short":"double dot"},"mathspeak":{"default":"two-dots"}},"key":"00A8"},{"category":"So","mappings":{"default":{"default":"copyright sign","short":"copyright"},"mathspeak":{"default":"copyright-sign"}},"key":"00A9"},{"category":"Lo","mappings":{"default":{"default":"feminine ordinal indicator"},"mathspeak":{"default":"feminine-ordinal-indicator"}},"key":"00AA"},{"category":"Pi","mappings":{"default":{"default":"left pointing double angle quotation mark","alternative":"left pointing guillemet"},"mathspeak":{"default":"left-pointing-guillemet"}},"key":"00AB"},{"category":"Sm","mappings":{"default":{"default":"not sign","short":"not"},"mathspeak":{"default":"not-sign"}},"key":"00AC"},{"category":"So","mappings":{"default":{"default":"registered sign","alternative":"registered trade mark sign","short":"registered"},"mathspeak":{"default":"registered-trade-mark-sign"}},"key":"00AE"},{"category":"Sk","mappings":{"default":{"default":"macron","alternative":"spacing macron"},"mathspeak":{"default":"bar"}},"key":"00AF"},{"category":"So","mappings":{"default":{"default":"degree sign","short":"degree"},"mathspeak":{"default":"degree"}},"key":"00B0"},{"category":"Sm","mappings":{"default":{"default":"plus minus sign","alternative":"plus or minus sign","short":"plus minus"},"mathspeak":{"default":"plus-or-minus"}},"key":"00B1"},{"category":"Sk","mappings":{"default":{"default":"acute accent","alternative":"spacing acute","short":"acute"},"mathspeak":{"default":"acute"}},"key":"00B4"},{"category":"Ll","mappings":{"default":{"default":"micro sign","short":"micro"},"mathspeak":{"default":"micro-sign"}},"key":"00B5"},{"category":"Po","mappings":{"default":{"default":"pilcrow sign","alternative":"paragraph sign","short":"pilcrow"},"mathspeak":{"default":"paragraph-sign"}},"key":"00B6"},{"category":"Po","mappings":{"default":{"default":"middle dot"},"mathspeak":{"default":"dot"}},"key":"00B7"},{"category":"Sk","mappings":{"default":{"default":"cedilla","alternative":"spacing cedilla"},"mathspeak":{"default":"cedilla"}},"key":"00B8"},{"category":"Lo","mappings":{"default":{"default":"masculine ordinal indicator"},"mathspeak":{"default":"masculine-ordinal-indicator"}},"key":"00BA"},{"category":"Pf","mappings":{"default":{"default":"right pointing double angle quotation mark","alternative":"right pointing guillemet"},"mathspeak":{"default":"right-pointing-guillemet"}},"key":"00BB"},{"category":"Po","mappings":{"default":{"default":"inverted question mark"},"mathspeak":{"default":"inverted-question-mark"}},"key":"00BF"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign","short":"multiplication"},"mathspeak":{"default":"times"}},"key":"00D7"},{"category":"Sm","mappings":{"default":{"default":"division sign","short":"division"},"mathspeak":{"default":"division-sign"}},"key":"00F7"},{"category":"Sk","mappings":{"default":{"default":"breve","alternative":"spacing breve"},"mathspeak":{"default":"breve"}},"key":"02D8"},{"category":"Sk","mappings":{"default":{"default":"dot above","alternative":"spacing dot above"},"mathspeak":{"default":"dot"}},"key":"02D9"},{"category":"Sk","mappings":{"default":{"default":"ring above","alternative":"spacing ring above"},"mathspeak":{"default":"ring-above"}},"key":"02DA"},{"category":"Sk","mappings":{"default":{"default":"ogonek","alternative":"spacing ogonek"},"mathspeak":{"default":"ogonek"}},"key":"02DB"},{"category":"Sk","mappings":{"default":{"default":"small tilde","alternative":"spacing tilde"},"mathspeak":{"default":"tilde"}},"key":"02DC"},{"category":"Sk","mappings":{"default":{"default":"double acute accent","alternative":"spacing double acute"},"mathspeak":{"default":"double-acute"}},"key":"02DD"},{"category":"Pd","mappings":{"default":{"default":"hyphen"}},"key":"2010"},{"category":"Pd","mappings":{"default":{"default":"non breaking hyphen"},"mathspeak":{"default":"non-breaking-hyphen"}},"key":"2011"},{"category":"Pd","mappings":{"default":{"default":"figure dash"},"mathspeak":{"default":"figure-dash"}},"key":"2012"},{"category":"Pd","mappings":{"default":{"default":"en dash"},"mathspeak":{"default":"en-dash"}},"key":"2013"},{"category":"Pd","mappings":{"default":{"default":"em dash"},"mathspeak":{"default":"em-dash"}},"key":"2014"},{"category":"Pd","mappings":{"default":{"default":"horizontal bar","alternative":"quotation dash"},"mathspeak":{"default":"quotation-dash"}},"key":"2015"},{"category":"Po","mappings":{"default":{"default":"double vertical line","alternative":"double vertical bar"},"mathspeak":{"default":"double-vertical-bar"}},"key":"2016"},{"category":"Po","mappings":{"default":{"default":"double low line","alternative":"spacing double underscore"},"mathspeak":{"default":"double-underscore"}},"key":"2017"},{"category":"Pi","mappings":{"default":{"default":"left single quotation mark","alternative":"single turned comma quotation mark"},"mathspeak":{"default":"single-turned-comma-quotation-mark"}},"key":"2018"},{"category":"Pf","mappings":{"default":{"default":"right single quotation mark","alternative":"single comma quotation mark"},"mathspeak":{"default":"single-comma-quotation-mark"}},"key":"2019"},{"category":"Ps","mappings":{"default":{"default":"single low 9 quotation mark","alternative":"low single comma quotation mark"},"mathspeak":{"default":"low-single-comma-quotation-mark"}},"key":"201A"},{"category":"Pi","mappings":{"default":{"default":"single high reversed 9 quotation mark","alternative":"single reversed comma quotation mark"},"mathspeak":{"default":"single-reversed-comma-quotation-mark"}},"key":"201B"},{"category":"Pi","mappings":{"default":{"default":"left double quotation mark","alternative":"double turned comma quotation mark"},"mathspeak":{"default":"double-turned-comma-quotation-mark"}},"key":"201C"},{"category":"Pf","mappings":{"default":{"default":"right double quotation mark","alternative":"double comma quotation mark"},"mathspeak":{"default":"double-comma-quotation-mark"}},"key":"201D"},{"category":"Ps","mappings":{"default":{"default":"double low 9 quotation mark","alternative":"low double comma quotation mark"},"mathspeak":{"default":"low-double-comma-quotation-mark"}},"key":"201E"},{"category":"Pi","mappings":{"default":{"default":"double high reversed 9 quotation mark","alternative":"double reversed comma quotation mark"},"mathspeak":{"default":"double-reversed-comma-quotation-mark"}},"key":"201F"},{"category":"Po","mappings":{"default":{"default":"dagger"}},"key":"2020"},{"category":"Po","mappings":{"default":{"default":"double dagger"},"mathspeak":{"default":"double-dagger"}},"key":"2021"},{"category":"Po","mappings":{"default":{"default":"bullet"}},"key":"2022"},{"category":"Po","mappings":{"default":{"default":"triangular bullet"},"mathspeak":{"default":"triangular-bullet"}},"key":"2023"},{"category":"Po","mappings":{"default":{"default":"one dot leader"},"mathspeak":{"default":"one-dot-leader"}},"key":"2024"},{"category":"Po","mappings":{"default":{"default":"two dot leader"},"mathspeak":{"default":"two-dot-leader"}},"key":"2025"},{"category":"Po","mappings":{"default":{"default":"horizontal ellipsis"},"mathspeak":{"default":"ellipsis"}},"key":"2026"},{"category":"Po","mappings":{"default":{"default":"hyphenation point"},"mathspeak":{"default":"hyphenation-point"}},"key":"2027"},{"category":"Po","mappings":{"default":{"default":"per mille sign","short":"per mille"},"mathspeak":{"default":"per-mille"}},"key":"2030"},{"category":"Po","mappings":{"default":{"default":"per ten thousand sign","short":"per ten thousand"},"mathspeak":{"default":"per-ten-thousand"}},"key":"2031"},{"category":"Po","mappings":{"default":{"default":"prime"}},"key":"2032"},{"category":"Po","mappings":{"default":{"default":"double prime"},"mathspeak":{"default":"double-prime"}},"key":"2033"},{"category":"Po","mappings":{"default":{"default":"triple prime"},"mathspeak":{"default":"triple-prime"}},"key":"2034"},{"category":"Po","mappings":{"default":{"default":"reversed prime"},"mathspeak":{"default":"reversed-prime"}},"key":"2035"},{"category":"Po","mappings":{"default":{"default":"reversed double prime"},"mathspeak":{"default":"reversed-double-prime"}},"key":"2036"},{"category":"Po","mappings":{"default":{"default":"reversed triple prime"},"mathspeak":{"default":"reversed-triple-prime"}},"key":"2037"},{"category":"Po","mappings":{"default":{"default":"caret"}},"key":"2038"},{"category":"Pi","mappings":{"default":{"default":"single left pointing angle quotation mark","alternative":"left pointing single guillemet"},"mathspeak":{"default":"left-pointing-single-guillemet"}},"key":"2039"},{"category":"Pf","mappings":{"default":{"default":"single right pointing angle quotation mark","alternative":"right pointing single guillemet"},"mathspeak":{"default":"right-pointing-single-guillemet"}},"key":"203A"},{"category":"Po","mappings":{"default":{"default":"reference mark"},"mathspeak":{"default":"reference-mark"}},"key":"203B"},{"category":"Po","mappings":{"default":{"default":"double exclamation mark"},"mathspeak":{"default":"double-exclamation-mark"}},"key":"203C"},{"category":"Po","mappings":{"default":{"default":"interrobang"}},"key":"203D"},{"category":"Po","mappings":{"default":{"default":"overline","alternative":"spacing overscore"},"mathspeak":{"default":"bar"}},"key":"203E"},{"category":"Pc","mappings":{"default":{"default":"undertie"}},"key":"203F"},{"category":"Pc","mappings":{"default":{"default":"character tie"},"mathspeak":{"default":"character-tie"}},"key":"2040"},{"category":"Po","mappings":{"default":{"default":"caret insertion point"},"mathspeak":{"default":"caret-insertion-point"}},"key":"2041"},{"category":"Po","mappings":{"default":{"default":"asterism"}},"key":"2042"},{"category":"Po","mappings":{"default":{"default":"hyphen bullet"},"mathspeak":{"default":"hyphen-bullet"}},"key":"2043"},{"category":"Sm","mappings":{"default":{"default":"fraction slash"},"mathspeak":{"default":"fraction-slash"}},"key":"2044"},{"category":"Po","mappings":{"default":{"default":"double question mark"},"mathspeak":{"default":"double-question-mark"}},"key":"2047"},{"category":"Po","mappings":{"default":{"default":"question exclamation mark"},"mathspeak":{"default":"question-exclamation-mark"}},"key":"2048"},{"category":"Po","mappings":{"default":{"default":"exclamation question mark"},"mathspeak":{"default":"exclamation-question-mark"}},"key":"2049"},{"category":"Po","mappings":{"default":{"default":"reversed pilcrow sign","short":"reversed pilcrow"},"mathspeak":{"default":"reversed-pilcrow"}},"key":"204B"},{"category":"Po","mappings":{"default":{"default":"black leftwards bullet"},"mathspeak":{"default":"black-leftwards-bullet"}},"key":"204C"},{"category":"Po","mappings":{"default":{"default":"black rightwards bullet"},"mathspeak":{"default":"black-rightwards-bullet"}},"key":"204D"},{"category":"Po","mappings":{"default":{"default":"low asterisk"},"mathspeak":{"default":"low-asterisk"}},"key":"204E"},{"category":"Po","mappings":{"default":{"default":"reversed semicolon"},"mathspeak":{"default":"reversed-semicolon"}},"key":"204F"},{"category":"Po","mappings":{"default":{"default":"close up"},"mathspeak":{"default":"close-up"}},"key":"2050"},{"category":"Po","mappings":{"default":{"default":"two asterisks aligned vertically"},"mathspeak":{"default":"two-asterisks-aligned-vertically"}},"key":"2051"},{"category":"Sm","mappings":{"default":{"default":"commercial minus sign","short":"commercial minus"},"mathspeak":{"default":"commercial-minus"}},"key":"2052"},{"category":"Po","mappings":{"default":{"default":"swung dash"},"mathspeak":{"default":"swung-dash"}},"key":"2053"},{"category":"Pc","mappings":{"default":{"default":"inverted undertie"},"mathspeak":{"default":"inverted-undertie"}},"key":"2054"},{"category":"Po","mappings":{"default":{"default":"flower punctuation mark"},"mathspeak":{"default":"flower-punctuation-mark"}},"key":"2055"},{"category":"Po","mappings":{"default":{"default":"three dot punctuation"},"mathspeak":{"default":"three-dot-punctuation"}},"key":"2056"},{"category":"Po","mappings":{"default":{"default":"quadruple prime"},"mathspeak":{"default":"quadruple-prime"}},"key":"2057"},{"category":"Po","mappings":{"default":{"default":"four dot punctuation"},"mathspeak":{"default":"four-dot-punctuation"}},"key":"2058"},{"category":"Po","mappings":{"default":{"default":"five dot punctuation"},"mathspeak":{"default":"five-dot-punctuation"}},"key":"2059"},{"category":"Po","mappings":{"default":{"default":"two dot punctuation"},"mathspeak":{"default":"two-dot-punctuation"}},"key":"205A"},{"category":"Po","mappings":{"default":{"default":"four dot mark"},"mathspeak":{"default":"four-dot-mark"}},"key":"205B"},{"category":"Po","mappings":{"default":{"default":"dotted cross"},"mathspeak":{"default":"dotted-cross"}},"key":"205C"},{"category":"Po","mappings":{"default":{"default":"tricolon"}},"key":"205D"},{"category":"Po","mappings":{"default":{"default":"vertical four dots"},"mathspeak":{"default":"vertical-four-dots"}},"key":"205E"},{"category":"Sm","mappings":{"default":{"default":"superscript plus sign","short":"superscript plus"},"mathspeak":{"default":"superscript-plus"}},"key":"207A"},{"category":"Sm","mappings":{"default":{"default":"superscript minus","alternative":"superscript hyphen minus"},"mathspeak":{"default":"superscript-hyphen-minus"}},"key":"207B"},{"category":"Sm","mappings":{"default":{"default":"superscript equals sign","short":"superscript equals"},"mathspeak":{"default":"superscript-equals"}},"key":"207C"},{"category":"Ps","mappings":{"default":{"default":"superscript left parenthesis","alternative":"superscript opening parenthesis"},"mathspeak":{"default":"superscript-opening-parenthesis"}},"key":"207D"},{"category":"Pe","mappings":{"default":{"default":"superscript right parenthesis","alternative":"superscript closing parenthesis"},"mathspeak":{"default":"superscript-closing-parenthesis"}},"key":"207E"},{"category":"Sm","mappings":{"default":{"default":"subscript plus sign","short":"subscript plus"},"mathspeak":{"default":"subscript-plus"}},"key":"208A"},{"category":"Sm","mappings":{"default":{"default":"subscript minus","alternative":"subscript hyphen minus"},"mathspeak":{"default":"subscript-hyphen-minus"}},"key":"208B"},{"category":"Sm","mappings":{"default":{"default":"subscript equals sign","short":"subscript equals"},"mathspeak":{"default":"subscript-equals"}},"key":"208C"},{"category":"Ps","mappings":{"default":{"default":"subscript left parenthesis","alternative":"subscript opening parenthesis"},"mathspeak":{"default":"subscript-opening-parenthesis"}},"key":"208D"},{"category":"Pe","mappings":{"default":{"default":"subscript right parenthesis","alternative":"subscript closing parenthesis"},"mathspeak":{"default":"subscript-closing-parenthesis"}},"key":"208E"},{"category":"So","mappings":{"default":{"default":"property line"},"mathspeak":{"default":"property-line"}},"key":"214A"},{"category":"Sm","mappings":{"default":{"default":"turned ampersand"},"mathspeak":{"default":"turned-ampersand"}},"key":"214B"},{"category":"So","mappings":{"default":{"default":"per sign","short":"per"},"mathspeak":{"default":"per-sign"}},"key":"214C"},{"category":"So","mappings":{"default":{"default":"aktieselskab"}},"key":"214D"},{"category":"Ll","mappings":{"default":{"default":"turned small f"},"mathspeak":{"default":"turned-small-f"}},"key":"214E"},{"category":"Sm","mappings":{"default":{"default":"for all"},"mathspeak":{"default":"for-all"}},"key":"2200"},{"category":"Sm","mappings":{"default":{"default":"complement"}},"key":"2201"},{"category":"Sm","mappings":{"default":{"default":"partial differential"},"mathspeak":{"default":"partial-differential"}},"key":"2202"},{"category":"Sm","mappings":{"default":{"default":"there exists"},"mathspeak":{"default":"there-exists"}},"key":"2203"},{"category":"Sm","mappings":{"default":{"default":"there does not exist"},"mathspeak":{"default":"there-does-not-exist"}},"key":"2204"},{"category":"Sm","mappings":{"default":{"default":"empty set"},"mathspeak":{"default":"empty-set"}},"key":"2205"},{"category":"Sm","mappings":{"default":{"default":"increment"}},"key":"2206"},{"category":"Sm","mappings":{"default":{"default":"nabla"}},"key":"2207"},{"category":"Sm","mappings":{"default":{"default":"element of"},"mathspeak":{"default":"element-of"}},"key":"2208"},{"category":"Sm","mappings":{"default":{"default":"not an element of"},"mathspeak":{"default":"not-an-element-of"}},"key":"2209"},{"category":"Sm","mappings":{"default":{"default":"small element of"},"mathspeak":{"default":"small-element-of"}},"key":"220A"},{"category":"Sm","mappings":{"default":{"default":"contains as member"},"mathspeak":{"default":"contains-as-member"}},"key":"220B"},{"category":"Sm","mappings":{"default":{"default":"does not contain as member"},"mathspeak":{"default":"does-not-contain-as-member"}},"key":"220C"},{"category":"Sm","mappings":{"default":{"default":"small contains as member"},"mathspeak":{"default":"small-contains-as-member"}},"key":"220D"},{"category":"Sm","mappings":{"default":{"default":"end of proof"},"mathspeak":{"default":"end-of-proof"}},"key":"220E"},{"category":"Sm","mappings":{"default":{"default":"n ary product"},"mathspeak":{"default":"product"}},"key":"220F"},{"category":"Sm","mappings":{"default":{"default":"n ary coproduct"},"mathspeak":{"default":"coproduct"}},"key":"2210"},{"category":"Sm","mappings":{"default":{"default":"n ary summation"},"mathspeak":{"default":"sigma-summation"}},"key":"2211"},{"category":"Sm","mappings":{"default":{"default":"minus sign","short":"minus"}},"key":"2212"},{"category":"Sm","mappings":{"default":{"default":"minus or plus sign","short":"minus or plus"},"mathspeak":{"default":"minus-or-plus"}},"key":"2213"},{"category":"Sm","mappings":{"default":{"default":"dot plus"},"mathspeak":{"default":"dot-plus"}},"key":"2214"},{"category":"Sm","mappings":{"default":{"default":"division slash"},"mathspeak":{"default":"division-slash"}},"key":"2215"},{"category":"Sm","mappings":{"default":{"default":"set minus"},"mathspeak":{"default":"set-minus"}},"key":"2216"},{"category":"Sm","mappings":{"default":{"default":"asterisk operator"},"mathspeak":{"default":"asterisk"}},"key":"2217"},{"category":"Sm","mappings":{"default":{"default":"ring operator"},"mathspeak":{"default":"ring"}},"key":"2218"},{"category":"Sm","mappings":{"default":{"default":"bullet operator"},"mathspeak":{"default":"bullet"}},"key":"2219"},{"category":"Sm","mappings":{"default":{"default":"square root"},"mathspeak":{"default":"square-root"}},"key":"221A"},{"category":"Sm","mappings":{"default":{"default":"cube root"},"mathspeak":{"default":"cube-root"}},"key":"221B"},{"category":"Sm","mappings":{"default":{"default":"fourth root"},"mathspeak":{"default":"fourth-root"}},"key":"221C"},{"category":"Sm","mappings":{"default":{"default":"proportional to"},"mathspeak":{"default":"proportional-to"}},"key":"221D"},{"category":"Sm","mappings":{"default":{"default":"infinity"}},"key":"221E"},{"category":"Sm","mappings":{"default":{"default":"right angle"},"mathspeak":{"default":"right-angle"}},"key":"221F"},{"category":"Sm","mappings":{"default":{"default":"angle"}},"key":"2220"},{"category":"Sm","mappings":{"default":{"default":"measured angle"},"mathspeak":{"default":"measured-angle"}},"key":"2221"},{"category":"Sm","mappings":{"default":{"default":"spherical angle"},"mathspeak":{"default":"spherical-angle"}},"key":"2222"},{"category":"Sm","mappings":{"default":{"default":"divides","short":"bar"}},"key":"2223"},{"category":"Sm","mappings":{"default":{"default":"does not divide"},"mathspeak":{"default":"does-not-divide"}},"key":"2224"},{"category":"Sm","mappings":{"default":{"default":"parallel to"},"mathspeak":{"default":"parallel-to"}},"key":"2225"},{"category":"Sm","mappings":{"default":{"default":"not parallel to"},"mathspeak":{"default":"not-parallel-to"}},"key":"2226"},{"category":"Sm","mappings":{"default":{"default":"logical and"},"mathspeak":{"default":"logical-and"}},"key":"2227"},{"category":"Sm","mappings":{"default":{"default":"logical or"},"mathspeak":{"default":"logical-or"}},"key":"2228"},{"category":"Sm","mappings":{"default":{"default":"intersection"}},"key":"2229"},{"category":"Sm","mappings":{"default":{"default":"union"}},"key":"222A"},{"category":"Sm","mappings":{"default":{"default":"integral"}},"key":"222B"},{"category":"Sm","mappings":{"default":{"default":"double integral"},"mathspeak":{"default":"double-integral"}},"key":"222C"},{"category":"Sm","mappings":{"default":{"default":"triple integral"},"mathspeak":{"default":"triple-integral"}},"key":"222D"},{"category":"Sm","mappings":{"default":{"default":"contour integral"},"mathspeak":{"default":"contour-integral"}},"key":"222E"},{"category":"Sm","mappings":{"default":{"default":"surface integral"},"mathspeak":{"default":"surface-integral"}},"key":"222F"},{"category":"Sm","mappings":{"default":{"default":"volume integral"},"mathspeak":{"default":"volume-integral"}},"key":"2230"},{"category":"Sm","mappings":{"default":{"default":"clockwise integral"},"mathspeak":{"default":"clockwise-integral"}},"key":"2231"},{"category":"Sm","mappings":{"default":{"default":"clockwise contour integral"},"mathspeak":{"default":"clockwise-contour-integral"}},"key":"2232"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise contour integral"},"mathspeak":{"default":"anticlockwise-contour-integral"}},"key":"2233"},{"category":"Sm","mappings":{"default":{"default":"therefore"}},"key":"2234"},{"category":"Sm","mappings":{"default":{"default":"because"}},"key":"2235"},{"category":"Sm","mappings":{"default":{"default":"ratio"}},"key":"2236"},{"category":"Sm","mappings":{"default":{"default":"proportion"}},"key":"2237"},{"category":"Sm","mappings":{"default":{"default":"dot minus"},"mathspeak":{"default":"dot-minus"}},"key":"2238"},{"category":"Sm","mappings":{"default":{"default":"excess"}},"key":"2239"},{"category":"Sm","mappings":{"default":{"default":"geometric proportion"},"mathspeak":{"default":"geometric-proportion"}},"key":"223A"},{"category":"Sm","mappings":{"default":{"default":"homothetic"}},"key":"223B"},{"category":"Sm","mappings":{"default":{"default":"tilde operator"},"mathspeak":{"default":"tilde"}},"key":"223C"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde"},"mathspeak":{"default":"reversed-tilde"}},"key":"223D"},{"category":"Sm","mappings":{"default":{"default":"inverted lazy s"},"mathspeak":{"default":"inverted-lazy-s"}},"key":"223E"},{"category":"Sm","mappings":{"default":{"default":"sine wave"},"mathspeak":{"default":"sine-wave"}},"key":"223F"},{"category":"Sm","mappings":{"default":{"default":"wreath product"},"mathspeak":{"default":"wreath-product"}},"key":"2240"},{"category":"Sm","mappings":{"default":{"default":"not tilde"},"mathspeak":{"default":"not-tilde"}},"key":"2241"},{"category":"Sm","mappings":{"default":{"default":"minus tilde"},"mathspeak":{"default":"minus-tilde"}},"key":"2242"},{"category":"Sm","mappings":{"default":{"default":"asymptotically equals"},"mathspeak":{"default":"asymptotically-equals"}},"key":"2243"},{"category":"Sm","mappings":{"default":{"default":"not asymptotically equals"},"mathspeak":{"default":"not-asymptotically-equals"}},"key":"2244"},{"category":"Sm","mappings":{"default":{"default":"approximately equals"},"mathspeak":{"default":"approximately-equals"}},"key":"2245"},{"category":"Sm","mappings":{"default":{"default":"approximately but not actually equals"},"mathspeak":{"default":"approximately-but-not-actually-equals"}},"key":"2246"},{"category":"Sm","mappings":{"default":{"default":"neither approximately nor actually equals"},"mathspeak":{"default":"neither-approximately-nor-actually-equals"}},"key":"2247"},{"category":"Sm","mappings":{"default":{"default":"almost equals"},"mathspeak":{"default":"almost-equals"}},"key":"2248"},{"category":"Sm","mappings":{"default":{"default":"not almost equals"},"mathspeak":{"default":"not-almost-equals"}},"key":"2249"},{"category":"Sm","mappings":{"default":{"default":"almost equal or equals"},"mathspeak":{"default":"almost-equal-or-equal-to"}},"key":"224A"},{"category":"Sm","mappings":{"default":{"default":"triple tilde"},"mathspeak":{"default":"triple-tilde"}},"key":"224B"},{"category":"Sm","mappings":{"default":{"default":"all equals"},"mathspeak":{"default":"all-equals"}},"key":"224C"},{"category":"Sm","mappings":{"default":{"default":"equivalent to"},"mathspeak":{"default":"equivalent-to"}},"key":"224D"},{"category":"Sm","mappings":{"default":{"default":"geometrically equivalent to"},"mathspeak":{"default":"geometrically-equivalent-to"}},"key":"224E"},{"category":"Sm","mappings":{"default":{"default":"difference between"},"mathspeak":{"default":"difference-between"}},"key":"224F"},{"category":"Sm","mappings":{"default":{"default":"approaches the limit"},"mathspeak":{"default":"approaches-the-limit"}},"key":"2250"},{"category":"Sm","mappings":{"default":{"default":"geometrically equals"},"mathspeak":{"default":"geometrically-equals"}},"key":"2251"},{"category":"Sm","mappings":{"default":{"default":"approximately equals or the image of"},"mathspeak":{"default":"approximately-equals-or-the-image-of"}},"key":"2252"},{"category":"Sm","mappings":{"default":{"default":"image of or approximately equals"},"mathspeak":{"default":"image-of-or-approximately-equals"}},"key":"2253"},{"category":"Sm","mappings":{"default":{"default":"colon equals","alternative":"colon equal"},"mathspeak":{"default":"colon-equal"}},"key":"2254"},{"category":"Sm","mappings":{"default":{"default":"equals colon","alternative":"equal colon"},"mathspeak":{"default":"equal-colon"}},"key":"2255"},{"category":"Sm","mappings":{"default":{"default":"ring in equals"},"mathspeak":{"default":"ring-in-equals"}},"key":"2256"},{"category":"Sm","mappings":{"default":{"default":"ring equals"},"mathspeak":{"default":"ring-equals"}},"key":"2257"},{"category":"Sm","mappings":{"default":{"default":"corresponds to"},"mathspeak":{"default":"corresponds-to"}},"key":"2258"},{"category":"Sm","mappings":{"default":{"default":"estimates"}},"key":"2259"},{"category":"Sm","mappings":{"default":{"default":"equiangular to"},"mathspeak":{"default":"equiangular-to"}},"key":"225A"},{"category":"Sm","mappings":{"default":{"default":"star equals"},"mathspeak":{"default":"star-equals"}},"key":"225B"},{"category":"Sm","mappings":{"default":{"default":"delta equals"},"mathspeak":{"default":"delta-equals"}},"key":"225C"},{"category":"Sm","mappings":{"default":{"default":"equals by definition"},"mathspeak":{"default":"equals-by-definition"}},"key":"225D"},{"category":"Sm","mappings":{"default":{"default":"measured by"},"mathspeak":{"default":"measured-by"}},"key":"225E"},{"category":"Sm","mappings":{"default":{"default":"questioned equals"},"mathspeak":{"default":"questioned-equals"}},"key":"225F"},{"category":"Sm","mappings":{"default":{"default":"not equals"},"mathspeak":{"default":"not-equals"}},"key":"2260"},{"category":"Sm","mappings":{"default":{"default":"identical to"},"mathspeak":{"default":"identical-to"}},"key":"2261"},{"category":"Sm","mappings":{"default":{"default":"not identical to"},"mathspeak":{"default":"not-identical-to"}},"key":"2262"},{"category":"Sm","mappings":{"default":{"default":"strictly equivalent to"},"mathspeak":{"default":"strictly-equivalent-to"}},"key":"2263"},{"category":"Sm","mappings":{"default":{"default":"less than or equals","alternative":"less than or equals"},"mathspeak":{"default":"less-than-or-equal-to"}},"key":"2264"},{"category":"Sm","mappings":{"default":{"default":"greater than or equals","alternative":"greater than or equals"},"mathspeak":{"default":"greater-than-or-equal-to"}},"key":"2265"},{"category":"Sm","mappings":{"default":{"default":"less than over equals","alternative":"less than over equals"},"mathspeak":{"default":"less-than-over-equals"}},"key":"2266"},{"category":"Sm","mappings":{"default":{"default":"greater than over equals","alternative":"greater than over equals"},"mathspeak":{"default":"greater-than-over-equals"}},"key":"2267"},{"category":"Sm","mappings":{"default":{"default":"less than but not equals","alternative":"less than but not equals"},"mathspeak":{"default":"less-than-but-not-equals"}},"key":"2268"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equals","alternative":"greater than but not equals"},"mathspeak":{"default":"greater-than-but-not-equals"}},"key":"2269"},{"category":"Sm","mappings":{"default":{"default":"much less than","alternative":"much less than"},"mathspeak":{"default":"much-less-than"}},"key":"226A"},{"category":"Sm","mappings":{"default":{"default":"much greater than","alternative":"much greater than"},"mathspeak":{"default":"much-greater-than"}},"key":"226B"},{"category":"Sm","mappings":{"default":{"default":"between"}},"key":"226C"},{"category":"Sm","mappings":{"default":{"default":"not equivalent to"},"mathspeak":{"default":"not-equivalent-to"}},"key":"226D"},{"category":"Sm","mappings":{"default":{"default":"not less than","alternative":"not less than"},"mathspeak":{"default":"not-less-than"}},"key":"226E"},{"category":"Sm","mappings":{"default":{"default":"not greater than","alternative":"not greater than"},"mathspeak":{"default":"not-greater-than"}},"key":"226F"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equals","alternative":"neither less than nor equals"},"mathspeak":{"default":"neither-less-than-nor-equal-to"}},"key":"2270"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equals","alternative":"neither greater than nor equals"},"mathspeak":{"default":"neither-greater-than-nor-equal-to"}},"key":"2271"},{"category":"Sm","mappings":{"default":{"default":"less than or equivalent to","alternative":"less than or equivalent to"},"mathspeak":{"default":"less-than-or-equivalent-to"}},"key":"2272"},{"category":"Sm","mappings":{"default":{"default":"greater than or equivalent to","alternative":"greater than or equivalent to"},"mathspeak":{"default":"greater-than-or-equivalent-to"}},"key":"2273"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equivalent to","alternative":"neither less than nor equivalent to"},"mathspeak":{"default":"neither-less-than-nor-equivalent-to"}},"key":"2274"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equivalent to","alternative":"neither greater than nor equivalent to"},"mathspeak":{"default":"neither-greater-than-nor-equivalent-to"}},"key":"2275"},{"category":"Sm","mappings":{"default":{"default":"less than or greater than","alternative":"less than or greater than"},"mathspeak":{"default":"less-than-or-greater-than"}},"key":"2276"},{"category":"Sm","mappings":{"default":{"default":"greater than or less than","alternative":"greater than or less than"},"mathspeak":{"default":"greater-than-or-less-than"}},"key":"2277"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor greater than","alternative":"neither less than nor greater than"},"mathspeak":{"default":"neither-less-than-nor-greater-than"}},"key":"2278"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor less than","alternative":"neither greater than nor less than"},"mathspeak":{"default":"neither-greater-than-nor-less-than"}},"key":"2279"},{"category":"Sm","mappings":{"default":{"default":"precedes"}},"key":"227A"},{"category":"Sm","mappings":{"default":{"default":"succeeds"}},"key":"227B"},{"category":"Sm","mappings":{"default":{"default":"precedes or equals"},"mathspeak":{"default":"precedes-or-equal-to"}},"key":"227C"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equals"},"mathspeak":{"default":"succeeds-or-equal-to"}},"key":"227D"},{"category":"Sm","mappings":{"default":{"default":"precedes or equivalent to"},"mathspeak":{"default":"precedes-or-equivalent-to"}},"key":"227E"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equivalent to"},"mathspeak":{"default":"succeeds-or-equivalent-to"}},"key":"227F"},{"category":"Sm","mappings":{"default":{"default":"does not precede"},"mathspeak":{"default":"does-not-precede"}},"key":"2280"},{"category":"Sm","mappings":{"default":{"default":"does not succeed"},"mathspeak":{"default":"does-not-succeed"}},"key":"2281"},{"category":"Sm","mappings":{"default":{"default":"subset of"},"mathspeak":{"default":"subset-of"}},"key":"2282"},{"category":"Sm","mappings":{"default":{"default":"superset of"},"mathspeak":{"default":"superset-of"}},"key":"2283"},{"category":"Sm","mappings":{"default":{"default":"not a subset of"},"mathspeak":{"default":"not-a-subset-of"}},"key":"2284"},{"category":"Sm","mappings":{"default":{"default":"not a superset of"},"mathspeak":{"default":"not-a-superset-of"}},"key":"2285"},{"category":"Sm","mappings":{"default":{"default":"subset of or equals"},"mathspeak":{"default":"subset-of-or-equal-to"}},"key":"2286"},{"category":"Sm","mappings":{"default":{"default":"superset of or equals"},"mathspeak":{"default":"superset-of-or-equal-to"}},"key":"2287"},{"category":"Sm","mappings":{"default":{"default":"neither a subset of nor equals"},"mathspeak":{"default":"neither-a-subset-of-nor-equal-to"}},"key":"2288"},{"category":"Sm","mappings":{"default":{"default":"neither a superset of nor equals"},"mathspeak":{"default":"neither-a-superset-of-nor-equal-to"}},"key":"2289"},{"category":"Sm","mappings":{"default":{"default":"subset of with not equals","alternative":"subset of or not equals","short":"subset of or not equals"},"mathspeak":{"default":"subset-of-or-not-equals"}},"key":"228A"},{"category":"Sm","mappings":{"default":{"default":"superset of with not equals","alternative":"superset of or not equals","short":"superset of or not equals"},"mathspeak":{"default":"superset-of-or-not-equals"}},"key":"228B"},{"category":"Sm","mappings":{"default":{"default":"multiset"}},"key":"228C"},{"category":"Sm","mappings":{"default":{"default":"multiset multiplication"},"mathspeak":{"default":"multiset-multiplication"}},"key":"228D"},{"category":"Sm","mappings":{"default":{"default":"multiset union"},"mathspeak":{"default":"multiset-union"}},"key":"228E"},{"category":"Sm","mappings":{"default":{"default":"square image of"},"mathspeak":{"default":"square-image-of"}},"key":"228F"},{"category":"Sm","mappings":{"default":{"default":"square original of"},"mathspeak":{"default":"square-original-of"}},"key":"2290"},{"category":"Sm","mappings":{"default":{"default":"square image of or equals"},"mathspeak":{"default":"square-image-of-or-equal-to"}},"key":"2291"},{"category":"Sm","mappings":{"default":{"default":"square original of or equals"},"mathspeak":{"default":"square-original-of-or-equal-to"}},"key":"2292"},{"category":"Sm","mappings":{"default":{"default":"square cap"},"mathspeak":{"default":"square-cap"}},"key":"2293"},{"category":"Sm","mappings":{"default":{"default":"square cup"},"mathspeak":{"default":"square-cup"}},"key":"2294"},{"category":"Sm","mappings":{"default":{"default":"circled plus"},"mathspeak":{"default":"circled-plus"}},"key":"2295"},{"category":"Sm","mappings":{"default":{"default":"circled minus"},"mathspeak":{"default":"circled-minus"}},"key":"2296"},{"category":"Sm","mappings":{"default":{"default":"circled times"},"mathspeak":{"default":"circled-times"}},"key":"2297"},{"category":"Sm","mappings":{"default":{"default":"circled division slash"},"mathspeak":{"default":"circled-division-slash"}},"key":"2298"},{"category":"Sm","mappings":{"default":{"default":"circled dot operator"},"mathspeak":{"default":"circled-dot"}},"key":"2299"},{"category":"Sm","mappings":{"default":{"default":"circled ring operator"},"mathspeak":{"default":"circled-ring"}},"key":"229A"},{"category":"Sm","mappings":{"default":{"default":"circled asterisk operator"},"mathspeak":{"default":"circled-asterisk"}},"key":"229B"},{"category":"Sm","mappings":{"default":{"default":"circled equals"},"mathspeak":{"default":"circled-equals"}},"key":"229C"},{"category":"Sm","mappings":{"default":{"default":"circled dash"},"mathspeak":{"default":"circled-dash"}},"key":"229D"},{"category":"Sm","mappings":{"default":{"default":"squared plus"},"mathspeak":{"default":"squared-plus"}},"key":"229E"},{"category":"Sm","mappings":{"default":{"default":"squared minus"},"mathspeak":{"default":"squared-minus"}},"key":"229F"},{"category":"Sm","mappings":{"default":{"default":"squared times"},"mathspeak":{"default":"squared-times"}},"key":"22A0"},{"category":"Sm","mappings":{"default":{"default":"squared dot operator"},"mathspeak":{"default":"squared-dot"}},"key":"22A1"},{"category":"Sm","mappings":{"default":{"default":"right tack"},"mathspeak":{"default":"right-tack"}},"key":"22A2"},{"category":"Sm","mappings":{"default":{"default":"left tack"},"mathspeak":{"default":"left-tack"}},"key":"22A3"},{"category":"Sm","mappings":{"default":{"default":"down tack"},"mathspeak":{"default":"down-tack"}},"key":"22A4"},{"category":"Sm","mappings":{"default":{"default":"up tack"},"mathspeak":{"default":"up-tack"}},"key":"22A5"},{"category":"Sm","mappings":{"default":{"default":"assertion"}},"key":"22A6"},{"category":"Sm","mappings":{"default":{"default":"models"}},"key":"22A7"},{"category":"Sm","mappings":{"default":{"default":"true"}},"key":"22A8"},{"category":"Sm","mappings":{"default":{"default":"forces"}},"key":"22A9"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar right turnstile"},"mathspeak":{"default":"triple-vertical-bar-right-turnstile"}},"key":"22AA"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double right turnstile"},"mathspeak":{"default":"double-vertical-bar-double-right-turnstile"}},"key":"22AB"},{"category":"Sm","mappings":{"default":{"default":"does not prove"},"mathspeak":{"default":"does-not-prove"}},"key":"22AC"},{"category":"Sm","mappings":{"default":{"default":"not true"},"mathspeak":{"default":"not-true"}},"key":"22AD"},{"category":"Sm","mappings":{"default":{"default":"does not force"},"mathspeak":{"default":"does-not-force"}},"key":"22AE"},{"category":"Sm","mappings":{"default":{"default":"negated double vertical bar double right turnstile"},"mathspeak":{"default":"negated-double-vertical-bar-double-right-turnstile"}},"key":"22AF"},{"category":"Sm","mappings":{"default":{"default":"precedes under relation"},"mathspeak":{"default":"precedes-under-relation"}},"key":"22B0"},{"category":"Sm","mappings":{"default":{"default":"succeeds under relation"},"mathspeak":{"default":"succeeds-under-relation"}},"key":"22B1"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of"},"mathspeak":{"default":"normal-subgroup-of"}},"key":"22B2"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup"},"mathspeak":{"default":"contains-as-normal-subgroup"}},"key":"22B3"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of or equals"},"mathspeak":{"default":"normal-subgroup-of-or-equal-to"}},"key":"22B4"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup or equals"},"mathspeak":{"default":"contains-as-normal-subgroup-or-equal-to"}},"key":"22B5"},{"category":"Sm","mappings":{"default":{"default":"original of"},"mathspeak":{"default":"original-of"}},"key":"22B6"},{"category":"Sm","mappings":{"default":{"default":"image of"},"mathspeak":{"default":"image-of"}},"key":"22B7"},{"category":"Sm","mappings":{"default":{"default":"multimap"}},"key":"22B8"},{"category":"Sm","mappings":{"default":{"default":"hermitian conjugate matrix"},"mathspeak":{"default":"hermitian-conjugate-matrix"}},"key":"22B9"},{"category":"Sm","mappings":{"default":{"default":"intercalate"}},"key":"22BA"},{"category":"Sm","mappings":{"default":{"default":"xor"}},"key":"22BB"},{"category":"Sm","mappings":{"default":{"default":"nand"}},"key":"22BC"},{"category":"Sm","mappings":{"default":{"default":"nor"}},"key":"22BD"},{"category":"Sm","mappings":{"default":{"default":"right triangle"},"mathspeak":{"default":"right-triangle"}},"key":"22BF"},{"category":"Sm","mappings":{"default":{"default":"n ary logical and"},"mathspeak":{"default":"logical-and"}},"key":"22C0"},{"category":"Sm","mappings":{"default":{"default":"n ary logical or"},"mathspeak":{"default":"logical-or"}},"key":"22C1"},{"category":"Sm","mappings":{"default":{"default":"n ary intersection"},"mathspeak":{"default":"intersection"}},"key":"22C2"},{"category":"Sm","mappings":{"default":{"default":"n ary union"},"mathspeak":{"default":"union"}},"key":"22C3"},{"category":"Sm","mappings":{"default":{"default":"diamond operator"},"mathspeak":{"default":"diamond"}},"key":"22C4"},{"category":"Sm","mappings":{"default":{"default":"dot operator"},"mathspeak":{"default":"dot"}},"key":"22C5"},{"category":"Sm","mappings":{"default":{"default":"star operator"},"mathspeak":{"default":"star"}},"key":"22C6"},{"category":"Sm","mappings":{"default":{"default":"division times"},"mathspeak":{"default":"division-times"}},"key":"22C7"},{"category":"Sm","mappings":{"default":{"default":"bowtie"}},"key":"22C8"},{"category":"Sm","mappings":{"default":{"default":"left normal factor semidirect product"},"mathspeak":{"default":"left-normal-factor-semidirect-product"}},"key":"22C9"},{"category":"Sm","mappings":{"default":{"default":"right normal factor semidirect product"},"mathspeak":{"default":"right-normal-factor-semidirect-product"}},"key":"22CA"},{"category":"Sm","mappings":{"default":{"default":"left semidirect product"},"mathspeak":{"default":"left-semidirect-product"}},"key":"22CB"},{"category":"Sm","mappings":{"default":{"default":"right semidirect product"},"mathspeak":{"default":"right-semidirect-product"}},"key":"22CC"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde equals"},"mathspeak":{"default":"reversed-tilde-equals"}},"key":"22CD"},{"category":"Sm","mappings":{"default":{"default":"curly logical or"},"mathspeak":{"default":"curly-logical-or"}},"key":"22CE"},{"category":"Sm","mappings":{"default":{"default":"curly logical and"},"mathspeak":{"default":"curly-logical-and"}},"key":"22CF"},{"category":"Sm","mappings":{"default":{"default":"double subset"},"mathspeak":{"default":"double-subset"}},"key":"22D0"},{"category":"Sm","mappings":{"default":{"default":"double superset"},"mathspeak":{"default":"double-superset"}},"key":"22D1"},{"category":"Sm","mappings":{"default":{"default":"double intersection"},"mathspeak":{"default":"double-intersection"}},"key":"22D2"},{"category":"Sm","mappings":{"default":{"default":"double union"},"mathspeak":{"default":"double-union"}},"key":"22D3"},{"category":"Sm","mappings":{"default":{"default":"pitchfork"}},"key":"22D4"},{"category":"Sm","mappings":{"default":{"default":"equal and parallel to"},"mathspeak":{"default":"equal-and-parallel-to"}},"key":"22D5"},{"category":"Sm","mappings":{"default":{"default":"less than with dot","alternative":"less than with dot","short":"less than dot"},"mathspeak":{"default":"less-than-dot"}},"key":"22D6"},{"category":"Sm","mappings":{"default":{"default":"greater than with dot","alternative":"greater than with dot","short":"greater than dot"},"mathspeak":{"default":"greater-than-dot"}},"key":"22D7"},{"category":"Sm","mappings":{"default":{"default":"very much less than","alternative":"very much less than"},"mathspeak":{"default":"very-much-less-than"}},"key":"22D8"},{"category":"Sm","mappings":{"default":{"default":"very much greater than","alternative":"very much greater than"},"mathspeak":{"default":"very-much-greater-than"}},"key":"22D9"},{"category":"Sm","mappings":{"default":{"default":"less than equals or greater than","alternative":"less than equals or greater than"},"mathspeak":{"default":"less-than-equals-or-greater-than"}},"key":"22DA"},{"category":"Sm","mappings":{"default":{"default":"greater than equals or less than","alternative":"greater than equals or less than"},"mathspeak":{"default":"greater-than-equals-or-less-than"}},"key":"22DB"},{"category":"Sm","mappings":{"default":{"default":"equals or less than","alternative":"equals or less than"},"mathspeak":{"default":"equals-or-less-than"}},"key":"22DC"},{"category":"Sm","mappings":{"default":{"default":"equals or greater than","alternative":"equals or greater than"},"mathspeak":{"default":"equals-or-greater-than"}},"key":"22DD"},{"category":"Sm","mappings":{"default":{"default":"equals or precedes"},"mathspeak":{"default":"equals-or-precedes"}},"key":"22DE"},{"category":"Sm","mappings":{"default":{"default":"equals or succeeds"},"mathspeak":{"default":"equals-or-succeeds"}},"key":"22DF"},{"category":"Sm","mappings":{"default":{"default":"does not precede or equal"},"mathspeak":{"default":"does-not-precede-or-equal"}},"key":"22E0"},{"category":"Sm","mappings":{"default":{"default":"does not succeed or equal"},"mathspeak":{"default":"does-not-succeed-or-equal"}},"key":"22E1"},{"category":"Sm","mappings":{"default":{"default":"not square image of or equals"},"mathspeak":{"default":"not-square-image-of-or-equal-to"}},"key":"22E2"},{"category":"Sm","mappings":{"default":{"default":"not square original of or equals"},"mathspeak":{"default":"not-square-original-of-or-equal-to"}},"key":"22E3"},{"category":"Sm","mappings":{"default":{"default":"square image of or not equals"},"mathspeak":{"default":"square-image-of-or-not-equals"}},"key":"22E4"},{"category":"Sm","mappings":{"default":{"default":"square original of or not equals"},"mathspeak":{"default":"square-original-of-or-not-equals"}},"key":"22E5"},{"category":"Sm","mappings":{"default":{"default":"less than but not equivalent to","alternative":"less than but not equivalent to"},"mathspeak":{"default":"less-than-but-not-equivalent-to"}},"key":"22E6"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equivalent to","alternative":"greater than but not equivalent to"},"mathspeak":{"default":"greater-than-but-not-equivalent-to"}},"key":"22E7"},{"category":"Sm","mappings":{"default":{"default":"precedes but not equivalent to"},"mathspeak":{"default":"precedes-but-not-equivalent-to"}},"key":"22E8"},{"category":"Sm","mappings":{"default":{"default":"succeeds but not equivalent to"},"mathspeak":{"default":"succeeds-but-not-equivalent-to"}},"key":"22E9"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of"},"mathspeak":{"default":"not-normal-subgroup-of"}},"key":"22EA"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup"},"mathspeak":{"default":"does-not-contain-as-normal-subgroup"}},"key":"22EB"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of or equals"},"mathspeak":{"default":"not-normal-subgroup-of-or-equal-to"}},"key":"22EC"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup or equal"},"mathspeak":{"default":"does-not-contain-as-normal-subgroup-or-equal"}},"key":"22ED"},{"category":"Sm","mappings":{"default":{"default":"vertical ellipsis"},"mathspeak":{"default":"vertical-ellipsis"}},"key":"22EE"},{"category":"Sm","mappings":{"default":{"default":"midline horizontal ellipsis"},"mathspeak":{"default":"midline-horizontal-ellipsis"}},"key":"22EF"},{"category":"Sm","mappings":{"default":{"default":"up right diagonal ellipsis"},"mathspeak":{"default":"up-right-diagonal-ellipsis"}},"key":"22F0"},{"category":"Sm","mappings":{"default":{"default":"down right diagonal ellipsis"},"mathspeak":{"default":"down-right-diagonal-ellipsis"}},"key":"22F1"},{"category":"Sm","mappings":{"default":{"default":"element of with long horizontal stroke"},"mathspeak":{"default":"element-of-with-long-horizontal-stroke"}},"key":"22F2"},{"category":"Sm","mappings":{"default":{"default":"element of with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"element-of-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22F3"},{"category":"Sm","mappings":{"default":{"default":"small element of with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"small-element-of-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22F4"},{"category":"Sm","mappings":{"default":{"default":"element of with dot above"},"mathspeak":{"default":"element-of-with-dot-above"}},"key":"22F5"},{"category":"Sm","mappings":{"default":{"default":"element of with overbar"},"mathspeak":{"default":"element-of-with-overbar"}},"key":"22F6"},{"category":"Sm","mappings":{"default":{"default":"small element of with overbar"},"mathspeak":{"default":"small-element-of-with-overbar"}},"key":"22F7"},{"category":"Sm","mappings":{"default":{"default":"element of with underbar"},"mathspeak":{"default":"element-of-with-underbar"}},"key":"22F8"},{"category":"Sm","mappings":{"default":{"default":"element of with two horizontal strokes"},"mathspeak":{"default":"element-of-with-two-horizontal-strokes"}},"key":"22F9"},{"category":"Sm","mappings":{"default":{"default":"contains with long horizontal stroke"},"mathspeak":{"default":"contains-with-long-horizontal-stroke"}},"key":"22FA"},{"category":"Sm","mappings":{"default":{"default":"contains with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"contains-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22FB"},{"category":"Sm","mappings":{"default":{"default":"small contains with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"small-contains-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22FC"},{"category":"Sm","mappings":{"default":{"default":"contains with overbar"},"mathspeak":{"default":"contains-with-overbar"}},"key":"22FD"},{"category":"Sm","mappings":{"default":{"default":"small contains with overbar"},"mathspeak":{"default":"small-contains-with-overbar"}},"key":"22FE"},{"category":"Sm","mappings":{"default":{"default":"z notation bag membership"},"mathspeak":{"default":"z-notation-bag-membership"}},"key":"22FF"},{"category":"So","mappings":{"default":{"default":"diameter sign","short":"diameter"},"mathspeak":{"default":"diameter-sign"}},"key":"2300"},{"category":"So","mappings":{"default":{"default":"house"}},"key":"2302"},{"category":"So","mappings":{"default":{"default":"projective"}},"key":"2305"},{"category":"So","mappings":{"default":{"default":"perspective"}},"key":"2306"},{"category":"So","mappings":{"default":{"default":"wavy line"},"mathspeak":{"default":"wavy-line"}},"key":"2307"},{"category":"So","mappings":{"default":{"default":"reversed not sign","short":"reversed not"},"mathspeak":{"default":"reversed-not"}},"key":"2310"},{"category":"So","mappings":{"default":{"default":"square lozenge"},"mathspeak":{"default":"square-lozenge"}},"key":"2311"},{"category":"So","mappings":{"default":{"default":"arc"}},"key":"2312"},{"category":"So","mappings":{"default":{"default":"segment"}},"key":"2313"},{"category":"So","mappings":{"default":{"default":"sector"}},"key":"2314"},{"category":"So","mappings":{"default":{"default":"heavy plus sign","alternative":"heavy plus","short":"bold plus"},"mathspeak":{"default":"bold-plus"}},"key":"2795"},{"category":"So","mappings":{"default":{"default":"heavy minus sign","alternative":"heavy minus","short":"bold minus"},"mathspeak":{"default":"bold-minus"}},"key":"2796"},{"category":"So","mappings":{"default":{"default":"heavy division sign","alternative":"heavy division","short":"bold division"},"mathspeak":{"default":"bold-division"}},"key":"2797"},{"category":"So","mappings":{"default":{"default":"curly loop"},"mathspeak":{"default":"curly-loop"}},"key":"27B0"},{"category":"So","mappings":{"default":{"default":"double curly loop"},"mathspeak":{"default":"double-curly-loop"}},"key":"27BF"},{"category":"Sm","mappings":{"default":{"default":"white triangle containing small white triangle"},"mathspeak":{"default":"white-triangle-containing-small-white-triangle"}},"key":"27C1"},{"category":"Sm","mappings":{"default":{"default":"perpendicular"}},"key":"27C2"},{"category":"Sm","mappings":{"default":{"default":"open subset"},"mathspeak":{"default":"open-subset"}},"key":"27C3"},{"category":"Sm","mappings":{"default":{"default":"open superset"},"mathspeak":{"default":"open-superset"}},"key":"27C4"},{"category":"Sm","mappings":{"default":{"default":"or with dot inside"},"mathspeak":{"default":"or-with-dot-inside"}},"key":"27C7"},{"category":"Sm","mappings":{"default":{"default":"reverse solidus preceding subset"},"mathspeak":{"default":"reverse-solidus-preceding-subset"}},"key":"27C8"},{"category":"Sm","mappings":{"default":{"default":"superset preceding solidus"},"mathspeak":{"default":"superset-preceding-solidus"}},"key":"27C9"},{"category":"Sm","mappings":{"default":{"default":"vertical bar with horizontal stroke"},"mathspeak":{"default":"vertical-bar-with-horizontal-stroke"}},"key":"27CA"},{"category":"Sm","mappings":{"default":{"default":"mathematical rising diagonal"},"mathspeak":{"default":"mathematical-rising-diagonal"}},"key":"27CB"},{"category":"Sm","mappings":{"default":{"default":"long division"},"mathspeak":{"default":"long-division"}},"key":"27CC"},{"category":"Sm","mappings":{"default":{"default":"mathematical falling diagonal"},"mathspeak":{"default":"mathematical-falling-diagonal"}},"key":"27CD"},{"category":"Sm","mappings":{"default":{"default":"squared logical and"},"mathspeak":{"default":"squared-logical-and"}},"key":"27CE"},{"category":"Sm","mappings":{"default":{"default":"squared logical or"},"mathspeak":{"default":"squared-logical-or"}},"key":"27CF"},{"category":"Sm","mappings":{"default":{"default":"white diamond with centered dot"},"mathspeak":{"default":"white-diamond-with-centered-dot"}},"key":"27D0"},{"category":"Sm","mappings":{"default":{"default":"and with dot"},"mathspeak":{"default":"and-with-dot"}},"key":"27D1"},{"category":"Sm","mappings":{"default":{"default":"element of opening upwards"},"mathspeak":{"default":"element-of-opening-upwards"}},"key":"27D2"},{"category":"Sm","mappings":{"default":{"default":"lower right corner with dot"},"mathspeak":{"default":"lower-right-corner-with-dot"}},"key":"27D3"},{"category":"Sm","mappings":{"default":{"default":"upper left corner with dot"},"mathspeak":{"default":"upper-left-corner-with-dot"}},"key":"27D4"},{"category":"Sm","mappings":{"default":{"default":"left outer join"},"mathspeak":{"default":"left-outer-join"}},"key":"27D5"},{"category":"Sm","mappings":{"default":{"default":"right outer join"},"mathspeak":{"default":"right-outer-join"}},"key":"27D6"},{"category":"Sm","mappings":{"default":{"default":"full outer join"},"mathspeak":{"default":"full-outer-join"}},"key":"27D7"},{"category":"Sm","mappings":{"default":{"default":"large up tack"},"mathspeak":{"default":"large-up-tack"}},"key":"27D8"},{"category":"Sm","mappings":{"default":{"default":"large down tack"},"mathspeak":{"default":"large-down-tack"}},"key":"27D9"},{"category":"Sm","mappings":{"default":{"default":"left and right double turnstile"},"mathspeak":{"default":"left-and-right-double-turnstile"}},"key":"27DA"},{"category":"Sm","mappings":{"default":{"default":"left and right tack"},"mathspeak":{"default":"left-and-right-tack"}},"key":"27DB"},{"category":"Sm","mappings":{"default":{"default":"left multimap"},"mathspeak":{"default":"left-multimap"}},"key":"27DC"},{"category":"Sm","mappings":{"default":{"default":"long right tack"},"mathspeak":{"default":"long-right-tack"}},"key":"27DD"},{"category":"Sm","mappings":{"default":{"default":"long left tack"},"mathspeak":{"default":"long-left-tack"}},"key":"27DE"},{"category":"Sm","mappings":{"default":{"default":"up tack with circle above"},"mathspeak":{"default":"up-tack-with-circle-above"}},"key":"27DF"},{"category":"Sm","mappings":{"default":{"default":"lozenge divided by horizontal rule"},"mathspeak":{"default":"lozenge-divided-by-horizontal-rule"}},"key":"27E0"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond"},"mathspeak":{"default":"white-concave-sided-diamond"}},"key":"27E1"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with leftwards tick"},"mathspeak":{"default":"white-concave-sided-diamond-with-leftwards-tick"}},"key":"27E2"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with rightwards tick"},"mathspeak":{"default":"white-concave-sided-diamond-with-rightwards-tick"}},"key":"27E3"},{"category":"Sm","mappings":{"default":{"default":"white square with leftwards tick"},"mathspeak":{"default":"white-square-with-leftwards-tick"}},"key":"27E4"},{"category":"Sm","mappings":{"default":{"default":"white square with rightwards tick"},"mathspeak":{"default":"white-square-with-rightwards-tick"}},"key":"27E5"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing falling diagonal"},"mathspeak":{"default":"rising-diagonal-crossing-falling-diagonal"}},"key":"292B"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing rising diagonal"},"mathspeak":{"default":"falling-diagonal-crossing-rising-diagonal"}},"key":"292C"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar delimiter"},"mathspeak":{"default":"triple-vertical-bar-delimiter"}},"key":"2980"},{"category":"Sm","mappings":{"default":{"default":"z notation spot"},"mathspeak":{"default":"z-notation-spot"}},"key":"2981"},{"category":"Sm","mappings":{"default":{"default":"z notation type colon"},"mathspeak":{"default":"z-notation-type-colon"}},"key":"2982"},{"category":"Sm","mappings":{"default":{"default":"dotted fence"},"mathspeak":{"default":"dotted-fence"}},"key":"2999"},{"category":"Sm","mappings":{"default":{"default":"vertical zigzag line"},"mathspeak":{"default":"vertical-zigzag-line"}},"key":"299A"},{"category":"Sm","mappings":{"default":{"default":"reversed empty set"},"mathspeak":{"default":"reversed-empty-set"}},"key":"29B0"},{"category":"Sm","mappings":{"default":{"default":"empty set with overbar"},"mathspeak":{"default":"empty-set-with-overbar"}},"key":"29B1"},{"category":"Sm","mappings":{"default":{"default":"empty set with small circle above"},"mathspeak":{"default":"empty-set-with-small-circle-above"}},"key":"29B2"},{"category":"Sm","mappings":{"default":{"default":"circle with horizontal bar"},"mathspeak":{"default":"circle-with-horizontal-bar"}},"key":"29B5"},{"category":"Sm","mappings":{"default":{"default":"circled vertical bar"},"mathspeak":{"default":"circled-vertical-bar"}},"key":"29B6"},{"category":"Sm","mappings":{"default":{"default":"circled parallel"},"mathspeak":{"default":"circled-parallel"}},"key":"29B7"},{"category":"Sm","mappings":{"default":{"default":"circled reverse solidus"},"mathspeak":{"default":"circled-reverse-solidus"}},"key":"29B8"},{"category":"Sm","mappings":{"default":{"default":"circled perpendicular"},"mathspeak":{"default":"circled-perpendicular"}},"key":"29B9"},{"category":"Sm","mappings":{"default":{"default":"circle divided by horizontal bar and top half divided by vertical bar"},"mathspeak":{"default":"circle-divided-by-horizontal-bar-and-top-half-divided-by-vertical-bar"}},"key":"29BA"},{"category":"Sm","mappings":{"default":{"default":"circle with superimposed x"},"mathspeak":{"default":"circle-with-superimposed-x"}},"key":"29BB"},{"category":"Sm","mappings":{"default":{"default":"circled anticlockwise rotated division sign","short":"circled anticlockwise rotated division"},"mathspeak":{"default":"circled-anticlockwise-rotated-division"}},"key":"29BC"},{"category":"Sm","mappings":{"default":{"default":"circled white bullet"},"mathspeak":{"default":"circled-white-bullet"}},"key":"29BE"},{"category":"Sm","mappings":{"default":{"default":"circled bullet"},"mathspeak":{"default":"circled-bullet"}},"key":"29BF"},{"category":"Sm","mappings":{"default":{"default":"circled less than"},"mathspeak":{"default":"circled-less-than"}},"key":"29C0"},{"category":"Sm","mappings":{"default":{"default":"circled greater than"},"mathspeak":{"default":"circled-greater-than"}},"key":"29C1"},{"category":"Sm","mappings":{"default":{"default":"circle with small circle to the right"},"mathspeak":{"default":"circle-with-small-circle-to-the-right"}},"key":"29C2"},{"category":"Sm","mappings":{"default":{"default":"circle with two horizontal strokes to the right"},"mathspeak":{"default":"circle-with-two-horizontal-strokes-to-the-right"}},"key":"29C3"},{"category":"Sm","mappings":{"default":{"default":"squared rising diagonal slash"},"mathspeak":{"default":"squared-rising-diagonal-slash"}},"key":"29C4"},{"category":"Sm","mappings":{"default":{"default":"squared falling diagonal slash"},"mathspeak":{"default":"squared-falling-diagonal-slash"}},"key":"29C5"},{"category":"Sm","mappings":{"default":{"default":"squared asterisk"},"mathspeak":{"default":"squared-asterisk"}},"key":"29C6"},{"category":"Sm","mappings":{"default":{"default":"squared small circle"},"mathspeak":{"default":"squared-small-circle"}},"key":"29C7"},{"category":"Sm","mappings":{"default":{"default":"squared square"},"mathspeak":{"default":"squared-square"}},"key":"29C8"},{"category":"Sm","mappings":{"default":{"default":"two joined squares"},"mathspeak":{"default":"two-joined-squares"}},"key":"29C9"},{"category":"Sm","mappings":{"default":{"default":"triangle with dot above"},"mathspeak":{"default":"triangle-with-dot-above"}},"key":"29CA"},{"category":"Sm","mappings":{"default":{"default":"triangle with underbar"},"mathspeak":{"default":"triangle-with-underbar"}},"key":"29CB"},{"category":"Sm","mappings":{"default":{"default":"s in triangle"},"mathspeak":{"default":"s-in-triangle"}},"key":"29CC"},{"category":"Sm","mappings":{"default":{"default":"triangle with serifs at bottom"},"mathspeak":{"default":"triangle-with-serifs-at-bottom"}},"key":"29CD"},{"category":"Sm","mappings":{"default":{"default":"right triangle above left triangle"},"mathspeak":{"default":"right-triangle-above-left-triangle"}},"key":"29CE"},{"category":"Sm","mappings":{"default":{"default":"left triangle beside vertical bar"},"mathspeak":{"default":"left-triangle-beside-vertical-bar"}},"key":"29CF"},{"category":"Sm","mappings":{"default":{"default":"vertical bar beside right triangle"},"mathspeak":{"default":"vertical-bar-beside-right-triangle"}},"key":"29D0"},{"category":"Sm","mappings":{"default":{"default":"bowtie with left half black"},"mathspeak":{"default":"bowtie-with-left-half-black"}},"key":"29D1"},{"category":"Sm","mappings":{"default":{"default":"bowtie with right half black"},"mathspeak":{"default":"bowtie-with-right-half-black"}},"key":"29D2"},{"category":"Sm","mappings":{"default":{"default":"black bowtie"},"mathspeak":{"default":"black-bowtie"}},"key":"29D3"},{"category":"Sm","mappings":{"default":{"default":"times with left half black"},"mathspeak":{"default":"times-with-left-half-black"}},"key":"29D4"},{"category":"Sm","mappings":{"default":{"default":"times with right half black"},"mathspeak":{"default":"times-with-right-half-black"}},"key":"29D5"},{"category":"Sm","mappings":{"default":{"default":"white hourglass"},"mathspeak":{"default":"white-hourglass"}},"key":"29D6"},{"category":"Sm","mappings":{"default":{"default":"black hourglass"},"mathspeak":{"default":"black-hourglass"}},"key":"29D7"},{"category":"Sm","mappings":{"default":{"default":"incomplete infinity"},"mathspeak":{"default":"incomplete-infinity"}},"key":"29DC"},{"category":"Sm","mappings":{"default":{"default":"tie over infinity"},"mathspeak":{"default":"tie-over-infinity"}},"key":"29DD"},{"category":"Sm","mappings":{"default":{"default":"infinity negated with vertical bar"},"mathspeak":{"default":"infinity-negated-with-vertical-bar"}},"key":"29DE"},{"category":"Sm","mappings":{"default":{"default":"double ended multimap"},"mathspeak":{"default":"double-ended-multimap"}},"key":"29DF"},{"category":"Sm","mappings":{"default":{"default":"square with contoured outline"},"mathspeak":{"default":"square-with-contoured-outline"}},"key":"29E0"},{"category":"Sm","mappings":{"default":{"default":"increases as"},"mathspeak":{"default":"increases-as"}},"key":"29E1"},{"category":"Sm","mappings":{"default":{"default":"shuffle product"},"mathspeak":{"default":"shuffle-product"}},"key":"29E2"},{"category":"Sm","mappings":{"default":{"default":"equals sign and slanted parallel"},"mathspeak":{"default":"equals-and-slanted-parallel"}},"key":"29E3"},{"category":"Sm","mappings":{"default":{"default":"equals sign and slanted parallel with tilde above"},"mathspeak":{"default":"equals-and-slanted-parallel-with-tilde-above"}},"key":"29E4"},{"category":"Sm","mappings":{"default":{"default":"identical to and slanted parallel"},"mathspeak":{"default":"identical-to-and-slanted-parallel"}},"key":"29E5"},{"category":"Sm","mappings":{"default":{"default":"gleich stark"},"mathspeak":{"default":"gleich-stark"}},"key":"29E6"},{"category":"Sm","mappings":{"default":{"default":"thermodynamic"}},"key":"29E7"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with left half black"},"mathspeak":{"default":"down-pointing-triangle-with-left-half-black"}},"key":"29E8"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with right half black"},"mathspeak":{"default":"down-pointing-triangle-with-right-half-black"}},"key":"29E9"},{"category":"Sm","mappings":{"default":{"default":"black lozenge"},"mathspeak":{"default":"black-lozenge"}},"key":"29EB"},{"category":"Sm","mappings":{"default":{"default":"error barred white square"},"mathspeak":{"default":"error-barred-white-square"}},"key":"29EE"},{"category":"Sm","mappings":{"default":{"default":"error barred black square"},"mathspeak":{"default":"error-barred-black-square"}},"key":"29EF"},{"category":"Sm","mappings":{"default":{"default":"error barred white diamond"},"mathspeak":{"default":"error-barred-white-diamond"}},"key":"29F0"},{"category":"Sm","mappings":{"default":{"default":"error barred black diamond"},"mathspeak":{"default":"error-barred-black-diamond"}},"key":"29F1"},{"category":"Sm","mappings":{"default":{"default":"error barred white circle"},"mathspeak":{"default":"error-barred-white-circle"}},"key":"29F2"},{"category":"Sm","mappings":{"default":{"default":"error barred black circle"},"mathspeak":{"default":"error-barred-black-circle"}},"key":"29F3"},{"category":"Sm","mappings":{"default":{"default":"rule delayed"},"mathspeak":{"default":"rule-delayed"}},"key":"29F4"},{"category":"Sm","mappings":{"default":{"default":"reverse solidus operator"},"mathspeak":{"default":"reverse-solidus"}},"key":"29F5"},{"category":"Sm","mappings":{"default":{"default":"solidus with overbar"},"mathspeak":{"default":"solidus-with-overbar"}},"key":"29F6"},{"category":"Sm","mappings":{"default":{"default":"reverse solidus with horizontal stroke"},"mathspeak":{"default":"reverse-solidus-with-horizontal-stroke"}},"key":"29F7"},{"category":"Sm","mappings":{"default":{"default":"big solidus"},"mathspeak":{"default":"solidus"}},"key":"29F8"},{"category":"Sm","mappings":{"default":{"default":"big reverse solidus"},"mathspeak":{"default":"reverse-solidus"}},"key":"29F9"},{"category":"Sm","mappings":{"default":{"default":"double plus"},"mathspeak":{"default":"double-plus"}},"key":"29FA"},{"category":"Sm","mappings":{"default":{"default":"triple plus"},"mathspeak":{"default":"triple-plus"}},"key":"29FB"},{"category":"Sm","mappings":{"default":{"default":"tiny"}},"key":"29FE"},{"category":"Sm","mappings":{"default":{"default":"miny"}},"key":"29FF"},{"category":"Sm","mappings":{"default":{"default":"n ary circled dot operator"},"mathspeak":{"default":"circled-dot"}},"key":"2A00"},{"category":"Sm","mappings":{"default":{"default":"n ary circled plus operator"},"mathspeak":{"default":"circled-plus"}},"key":"2A01"},{"category":"Sm","mappings":{"default":{"default":"n ary circled times operator"},"mathspeak":{"default":"circled-times"}},"key":"2A02"},{"category":"Sm","mappings":{"default":{"default":"n ary union operator with dot"},"mathspeak":{"default":"union-with-dot"}},"key":"2A03"},{"category":"Sm","mappings":{"default":{"default":"n ary union operator with plus"},"mathspeak":{"default":"union-with-plus"}},"key":"2A04"},{"category":"Sm","mappings":{"default":{"default":"n ary square intersection operator"},"mathspeak":{"default":"square-intersection"}},"key":"2A05"},{"category":"Sm","mappings":{"default":{"default":"n ary square union operator"},"mathspeak":{"default":"square-union"}},"key":"2A06"},{"category":"Sm","mappings":{"default":{"default":"two logical and operator"},"mathspeak":{"default":"two-logical-and"}},"key":"2A07"},{"category":"Sm","mappings":{"default":{"default":"two logical or operator"},"mathspeak":{"default":"two-logical-or"}},"key":"2A08"},{"category":"Sm","mappings":{"default":{"default":"n ary times operator"},"mathspeak":{"default":"times"}},"key":"2A09"},{"category":"Sm","mappings":{"default":{"default":"modulo two sum"},"mathspeak":{"default":"modulo-two-sum"}},"key":"2A0A"},{"category":"Sm","mappings":{"default":{"default":"summation with integral"},"mathspeak":{"default":"summation-with-integral"}},"key":"2A0B"},{"category":"Sm","mappings":{"default":{"default":"quadruple integral operator"},"mathspeak":{"default":"quadruple-integral"}},"key":"2A0C"},{"category":"Sm","mappings":{"default":{"default":"finite part integral"},"mathspeak":{"default":"finite-part-integral"}},"key":"2A0D"},{"category":"Sm","mappings":{"default":{"default":"integral with double stroke"},"mathspeak":{"default":"integral-with-double-stroke"}},"key":"2A0E"},{"category":"Sm","mappings":{"default":{"default":"integral average with slash"},"mathspeak":{"default":"integral-average-with-slash"}},"key":"2A0F"},{"category":"Sm","mappings":{"default":{"default":"circulation function"},"mathspeak":{"default":"circulation-function"}},"key":"2A10"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise integration"},"mathspeak":{"default":"anticlockwise-integration"}},"key":"2A11"},{"category":"Sm","mappings":{"default":{"default":"line integration with rectangular path around pole"},"mathspeak":{"default":"line-integration-with-rectangular-path-around-pole"}},"key":"2A12"},{"category":"Sm","mappings":{"default":{"default":"line integration with semicircular path around pole"},"mathspeak":{"default":"line-integration-with-semicircular-path-around-pole"}},"key":"2A13"},{"category":"Sm","mappings":{"default":{"default":"line integration not including the pole"},"mathspeak":{"default":"line-integration-not-including-the-pole"}},"key":"2A14"},{"category":"Sm","mappings":{"default":{"default":"integral around a point operator"},"mathspeak":{"default":"integral-around-a-point"}},"key":"2A15"},{"category":"Sm","mappings":{"default":{"default":"quaternion integral operator"},"mathspeak":{"default":"quaternion-integral"}},"key":"2A16"},{"category":"Sm","mappings":{"default":{"default":"integral with times sign","short":"integral with times"},"mathspeak":{"default":"integral-with-times"}},"key":"2A18"},{"category":"Sm","mappings":{"default":{"default":"integral with intersection"},"mathspeak":{"default":"integral-with-intersection"}},"key":"2A19"},{"category":"Sm","mappings":{"default":{"default":"integral with union"},"mathspeak":{"default":"integral-with-union"}},"key":"2A1A"},{"category":"Sm","mappings":{"default":{"default":"integral with overbar"},"mathspeak":{"default":"integral-with-overbar"}},"key":"2A1B"},{"category":"Sm","mappings":{"default":{"default":"integral with underbar"},"mathspeak":{"default":"integral-with-underbar"}},"key":"2A1C"},{"category":"Sm","mappings":{"default":{"default":"join"}},"key":"2A1D"},{"category":"Sm","mappings":{"default":{"default":"large left triangle operator"},"mathspeak":{"default":"large-left-triangle"}},"key":"2A1E"},{"category":"Sm","mappings":{"default":{"default":"z notation schema composition"},"mathspeak":{"default":"z-notation-schema-composition"}},"key":"2A1F"},{"category":"Sm","mappings":{"default":{"default":"z notation schema piping"},"mathspeak":{"default":"z-notation-schema-piping"}},"key":"2A20"},{"category":"Sm","mappings":{"default":{"default":"z notation schema projection"},"mathspeak":{"default":"z-notation-schema-projection"}},"key":"2A21"},{"category":"Sm","mappings":{"default":{"default":"plus sign with small circle above","short":"plus with circle above"},"mathspeak":{"default":"plus-with-circle-above"}},"key":"2A22"},{"category":"Sm","mappings":{"default":{"default":"plus sign with circumflex accent above","short":"plus hat"},"mathspeak":{"default":"plus-hat"}},"key":"2A23"},{"category":"Sm","mappings":{"default":{"default":"plus sign with tilde above","short":"plus tilde"},"mathspeak":{"default":"plus-tilde"}},"key":"2A24"},{"category":"Sm","mappings":{"default":{"default":"plus sign with dot below","short":"plus underdot"},"mathspeak":{"default":"plus-underdot"}},"key":"2A25"},{"category":"Sm","mappings":{"default":{"default":"plus sign with tilde below"},"mathspeak":{"default":"plus-sign-with-tilde-below"}},"key":"2A26"},{"category":"Sm","mappings":{"default":{"default":"plus sign with subscript two"},"mathspeak":{"default":"plus-sign-with-subscript-two"}},"key":"2A27"},{"category":"Sm","mappings":{"default":{"default":"plus sign with black triangle"},"mathspeak":{"default":"plus-sign-with-black-triangle"}},"key":"2A28"},{"category":"Sm","mappings":{"default":{"default":"minus sign with comma above"},"mathspeak":{"default":"minus-sign-with-comma-above"}},"key":"2A29"},{"category":"Sm","mappings":{"default":{"default":"minus sign with dot below"},"mathspeak":{"default":"minus-sign-with-dot-below"}},"key":"2A2A"},{"category":"Sm","mappings":{"default":{"default":"minus sign with falling dots"},"mathspeak":{"default":"minus-sign-with-falling-dots"}},"key":"2A2B"},{"category":"Sm","mappings":{"default":{"default":"minus sign with rising dots"},"mathspeak":{"default":"minus-sign-with-rising-dots"}},"key":"2A2C"},{"category":"Sm","mappings":{"default":{"default":"plus sign in left half circle"},"mathspeak":{"default":"plus-sign-in-left-half-circle"}},"key":"2A2D"},{"category":"Sm","mappings":{"default":{"default":"plus sign in right half circle"},"mathspeak":{"default":"plus-sign-in-right-half-circle"}},"key":"2A2E"},{"category":"Sm","mappings":{"default":{"default":"vector or cross product"},"mathspeak":{"default":"vector-or-cross-product"}},"key":"2A2F"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with dot above"},"mathspeak":{"default":"multiplication-sign-with-dot-above"}},"key":"2A30"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with underbar"},"mathspeak":{"default":"multiplication-sign-with-underbar"}},"key":"2A31"},{"category":"Sm","mappings":{"default":{"default":"semidirect product with bottom closed"},"mathspeak":{"default":"semidirect-product-with-bottom-closed"}},"key":"2A32"},{"category":"Sm","mappings":{"default":{"default":"smash product"},"mathspeak":{"default":"smash-product"}},"key":"2A33"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in left half circle"},"mathspeak":{"default":"multiplication-sign-in-left-half-circle"}},"key":"2A34"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in right half circle"},"mathspeak":{"default":"multiplication-sign-in-right-half-circle"}},"key":"2A35"},{"category":"Sm","mappings":{"default":{"default":"circled multiplication sign with circumflex accent"},"mathspeak":{"default":"circled-multiplication-sign-with-circumflex-accent"}},"key":"2A36"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in double circle"},"mathspeak":{"default":"multiplication-sign-in-double-circle"}},"key":"2A37"},{"category":"Sm","mappings":{"default":{"default":"circled division sign","short":"circled division"},"mathspeak":{"default":"circled-division"}},"key":"2A38"},{"category":"Sm","mappings":{"default":{"default":"plus sign in triangle"},"mathspeak":{"default":"plus-sign-in-triangle"}},"key":"2A39"},{"category":"Sm","mappings":{"default":{"default":"minus sign in triangle"},"mathspeak":{"default":"minus-sign-in-triangle"}},"key":"2A3A"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in triangle"},"mathspeak":{"default":"multiplication-sign-in-triangle"}},"key":"2A3B"},{"category":"Sm","mappings":{"default":{"default":"interior product"},"mathspeak":{"default":"interior-product"}},"key":"2A3C"},{"category":"Sm","mappings":{"default":{"default":"righthand interior product"},"mathspeak":{"default":"righthand-interior-product"}},"key":"2A3D"},{"category":"Sm","mappings":{"default":{"default":"z notation relational composition"},"mathspeak":{"default":"z-notation-relational-composition"}},"key":"2A3E"},{"category":"Sm","mappings":{"default":{"default":"amalgamation or coproduct"},"mathspeak":{"default":"amalgamation-or-coproduct"}},"key":"2A3F"},{"category":"Sm","mappings":{"default":{"default":"intersection with dot"},"mathspeak":{"default":"intersection-with-dot"}},"key":"2A40"},{"category":"Sm","mappings":{"default":{"default":"union with minus sign","short":"union with minus"},"mathspeak":{"default":"union-with-minus"}},"key":"2A41"},{"category":"Sm","mappings":{"default":{"default":"union with overbar"},"mathspeak":{"default":"union-with-overbar"}},"key":"2A42"},{"category":"Sm","mappings":{"default":{"default":"intersection with overbar"},"mathspeak":{"default":"intersection-with-overbar"}},"key":"2A43"},{"category":"Sm","mappings":{"default":{"default":"intersection with logical and"},"mathspeak":{"default":"intersection-with-logical-and"}},"key":"2A44"},{"category":"Sm","mappings":{"default":{"default":"union with logical or"},"mathspeak":{"default":"union-with-logical-or"}},"key":"2A45"},{"category":"Sm","mappings":{"default":{"default":"union above intersection"},"mathspeak":{"default":"union-above-intersection"}},"key":"2A46"},{"category":"Sm","mappings":{"default":{"default":"intersection above union"},"mathspeak":{"default":"intersection-above-union"}},"key":"2A47"},{"category":"Sm","mappings":{"default":{"default":"union above bar above intersection"},"mathspeak":{"default":"union-above-bar-above-intersection"}},"key":"2A48"},{"category":"Sm","mappings":{"default":{"default":"intersection above bar above union"},"mathspeak":{"default":"intersection-above-bar-above-union"}},"key":"2A49"},{"category":"Sm","mappings":{"default":{"default":"union beside and joined with union"},"mathspeak":{"default":"union-beside-and-joined-with-union"}},"key":"2A4A"},{"category":"Sm","mappings":{"default":{"default":"intersection beside and joined with intersection"},"mathspeak":{"default":"intersection-beside-and-joined-with-intersection"}},"key":"2A4B"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs"},"mathspeak":{"default":"closed-union-with-serifs"}},"key":"2A4C"},{"category":"Sm","mappings":{"default":{"default":"closed intersection with serifs"},"mathspeak":{"default":"closed-intersection-with-serifs"}},"key":"2A4D"},{"category":"Sm","mappings":{"default":{"default":"double square intersection"},"mathspeak":{"default":"double-square-intersection"}},"key":"2A4E"},{"category":"Sm","mappings":{"default":{"default":"double square union"},"mathspeak":{"default":"double-square-union"}},"key":"2A4F"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs and smash product"},"mathspeak":{"default":"closed-union-with-serifs-and-smash-product"}},"key":"2A50"},{"category":"Sm","mappings":{"default":{"default":"logical and with dot above"},"mathspeak":{"default":"logical-and-with-dot-above"}},"key":"2A51"},{"category":"Sm","mappings":{"default":{"default":"logical or with dot above"},"mathspeak":{"default":"logical-or-with-dot-above"}},"key":"2A52"},{"category":"Sm","mappings":{"default":{"default":"double logical and"},"mathspeak":{"default":"double-logical-and"}},"key":"2A53"},{"category":"Sm","mappings":{"default":{"default":"double logical or"},"mathspeak":{"default":"double-logical-or"}},"key":"2A54"},{"category":"Sm","mappings":{"default":{"default":"two intersecting logical and"},"mathspeak":{"default":"two-intersecting-logical-and"}},"key":"2A55"},{"category":"Sm","mappings":{"default":{"default":"two intersecting logical or"},"mathspeak":{"default":"two-intersecting-logical-or"}},"key":"2A56"},{"category":"Sm","mappings":{"default":{"default":"sloping large or"},"mathspeak":{"default":"sloping-large-or"}},"key":"2A57"},{"category":"Sm","mappings":{"default":{"default":"sloping large and"},"mathspeak":{"default":"sloping-large-and"}},"key":"2A58"},{"category":"Sm","mappings":{"default":{"default":"logical or overlapping logical and"},"mathspeak":{"default":"logical-or-overlapping-logical-and"}},"key":"2A59"},{"category":"Sm","mappings":{"default":{"default":"logical and with middle stem"},"mathspeak":{"default":"logical-and-with-middle-stem"}},"key":"2A5A"},{"category":"Sm","mappings":{"default":{"default":"logical or with middle stem"},"mathspeak":{"default":"logical-or-with-middle-stem"}},"key":"2A5B"},{"category":"Sm","mappings":{"default":{"default":"logical and with horizontal dash"},"mathspeak":{"default":"logical-and-with-horizontal-dash"}},"key":"2A5C"},{"category":"Sm","mappings":{"default":{"default":"logical or with horizontal dash"},"mathspeak":{"default":"logical-or-with-horizontal-dash"}},"key":"2A5D"},{"category":"Sm","mappings":{"default":{"default":"logical and with double overbar"},"mathspeak":{"default":"logical-and-with-double-overbar"}},"key":"2A5E"},{"category":"Sm","mappings":{"default":{"default":"logical and with underbar"},"mathspeak":{"default":"logical-and-with-underbar"}},"key":"2A5F"},{"category":"Sm","mappings":{"default":{"default":"logical and with double underbar"},"mathspeak":{"default":"logical-and-with-double-underbar"}},"key":"2A60"},{"category":"Sm","mappings":{"default":{"default":"small vee with underbar"},"mathspeak":{"default":"small-vee-with-underbar"}},"key":"2A61"},{"category":"Sm","mappings":{"default":{"default":"logical or with double overbar"},"mathspeak":{"default":"logical-or-with-double-overbar"}},"key":"2A62"},{"category":"Sm","mappings":{"default":{"default":"logical or with double underbar"},"mathspeak":{"default":"logical-or-with-double-underbar"}},"key":"2A63"},{"category":"Sm","mappings":{"default":{"default":"z notation domain antirestriction"},"mathspeak":{"default":"z-notation-domain-antirestriction"}},"key":"2A64"},{"category":"Sm","mappings":{"default":{"default":"z notation range antirestriction"},"mathspeak":{"default":"z-notation-range-antirestriction"}},"key":"2A65"},{"category":"Sm","mappings":{"default":{"default":"equals sign with dot below"},"mathspeak":{"default":"equals-with-dot-below"}},"key":"2A66"},{"category":"Sm","mappings":{"default":{"default":"identical with dot above"},"mathspeak":{"default":"identical-with-dot-above"}},"key":"2A67"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with double vertical stroke"},"mathspeak":{"default":"triple-horizontal-bar-with-double-vertical-stroke"}},"key":"2A68"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with triple vertical stroke"},"mathspeak":{"default":"triple-horizontal-bar-with-triple-vertical-stroke"}},"key":"2A69"},{"category":"Sm","mappings":{"default":{"default":"tilde operator with dot above"},"mathspeak":{"default":"tilde-with-dot-above"}},"key":"2A6A"},{"category":"Sm","mappings":{"default":{"default":"tilde operator with rising dots"},"mathspeak":{"default":"tilde-with-rising-dots"}},"key":"2A6B"},{"category":"Sm","mappings":{"default":{"default":"similar minus similar"},"mathspeak":{"default":"similar-minus-similar"}},"key":"2A6C"},{"category":"Sm","mappings":{"default":{"default":"congruent with dot above"},"mathspeak":{"default":"congruent-with-dot-above"}},"key":"2A6D"},{"category":"Sm","mappings":{"default":{"default":"equals with asterisk"},"mathspeak":{"default":"equals-with-asterisk"}},"key":"2A6E"},{"category":"Sm","mappings":{"default":{"default":"almost equals with circumflex accent","short":"almost equal hat"},"mathspeak":{"default":"almost-equal-hat"}},"key":"2A6F"},{"category":"Sm","mappings":{"default":{"default":"approximately equal or equals"},"mathspeak":{"default":"approximately-equal-or-equal-to"}},"key":"2A70"},{"category":"Sm","mappings":{"default":{"default":"equals sign above plus sign","short":"equals above plus"},"mathspeak":{"default":"equals-above-plus"}},"key":"2A71"},{"category":"Sm","mappings":{"default":{"default":"plus sign above equals sign","short":"plus above equals"},"mathspeak":{"default":"plus-above-equals"}},"key":"2A72"},{"category":"Sm","mappings":{"default":{"default":"equals sign above tilde operator","short":"equals above tilde operator"},"mathspeak":{"default":"equals-above-tilde"}},"key":"2A73"},{"category":"Sm","mappings":{"default":{"default":"double colon equal"},"mathspeak":{"default":"double-colon-equal"}},"key":"2A74"},{"category":"Sm","mappings":{"default":{"default":"two consecutive equals signs","short":"two consecutive equals"},"mathspeak":{"default":"two-consecutive-equals"}},"key":"2A75"},{"category":"Sm","mappings":{"default":{"default":"three consecutive equals signs","short":"three consecutive equals"},"mathspeak":{"default":"three-consecutive-equals"}},"key":"2A76"},{"category":"Sm","mappings":{"default":{"default":"equals sign with two dots above and two dots below"},"mathspeak":{"default":"equals-with-two-dots-above-and-two-dots-below"}},"key":"2A77"},{"category":"Sm","mappings":{"default":{"default":"equivalent with four dots above"},"mathspeak":{"default":"equivalent-with-four-dots-above"}},"key":"2A78"},{"category":"Sm","mappings":{"default":{"default":"less than with circle inside"},"mathspeak":{"default":"less-than-with-circle-inside"}},"key":"2A79"},{"category":"Sm","mappings":{"default":{"default":"greater than with circle inside"},"mathspeak":{"default":"greater-than-with-circle-inside"}},"key":"2A7A"},{"category":"Sm","mappings":{"default":{"default":"less than with question mark above"},"mathspeak":{"default":"less-than-with-question-mark-above"}},"key":"2A7B"},{"category":"Sm","mappings":{"default":{"default":"greater than with question mark above"},"mathspeak":{"default":"greater-than-with-question-mark-above"}},"key":"2A7C"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals"},"mathspeak":{"default":"less-than-or-slanted-equals"}},"key":"2A7D"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals"},"mathspeak":{"default":"greater-than-or-slanted-equals"}},"key":"2A7E"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot inside"},"mathspeak":{"default":"less-than-or-slanted-equals-with-dot-inside"}},"key":"2A7F"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot inside"},"mathspeak":{"default":"greater-than-or-slanted-equals-with-dot-inside"}},"key":"2A80"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above"},"mathspeak":{"default":"less-than-or-slanted-equals-with-dot-above"}},"key":"2A81"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above"},"mathspeak":{"default":"greater-than-or-slanted-equals-with-dot-above"}},"key":"2A82"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above right"},"mathspeak":{"default":"less-than-or-slanted-equals-with-dot-above-right"}},"key":"2A83"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above left"},"mathspeak":{"default":"greater-than-or-slanted-equals-with-dot-above-left"}},"key":"2A84"},{"category":"Sm","mappings":{"default":{"default":"less than or approximate"},"mathspeak":{"default":"less-than-or-approximate"}},"key":"2A85"},{"category":"Sm","mappings":{"default":{"default":"greater than or approximate"},"mathspeak":{"default":"greater-than-or-approximate"}},"key":"2A86"},{"category":"Sm","mappings":{"default":{"default":"less than and single line not equals"},"mathspeak":{"default":"less-than-and-single-line-not-equals"}},"key":"2A87"},{"category":"Sm","mappings":{"default":{"default":"greater than and single line not equals"},"mathspeak":{"default":"greater-than-and-single-line-not-equals"}},"key":"2A88"},{"category":"Sm","mappings":{"default":{"default":"less than and not approximate"},"mathspeak":{"default":"less-than-and-not-approximate"}},"key":"2A89"},{"category":"Sm","mappings":{"default":{"default":"greater than and not approximate"},"mathspeak":{"default":"greater-than-and-not-approximate"}},"key":"2A8A"},{"category":"Sm","mappings":{"default":{"default":"less than above double line equal above greater than"},"mathspeak":{"default":"less-than-above-double-line-equal-above-greater-than"}},"key":"2A8B"},{"category":"Sm","mappings":{"default":{"default":"greater than above double line equal above less than"},"mathspeak":{"default":"greater-than-above-double-line-equal-above-less-than"}},"key":"2A8C"},{"category":"Sm","mappings":{"default":{"default":"less than above similar or equal"},"mathspeak":{"default":"less-than-above-similar-or-equal"}},"key":"2A8D"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar or equal"},"mathspeak":{"default":"greater-than-above-similar-or-equal"}},"key":"2A8E"},{"category":"Sm","mappings":{"default":{"default":"less than above similar above greater than"},"mathspeak":{"default":"less-than-above-similar-above-greater-than"}},"key":"2A8F"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar above less than"},"mathspeak":{"default":"greater-than-above-similar-above-less-than"}},"key":"2A90"},{"category":"Sm","mappings":{"default":{"default":"less than above greater than above double line equal"},"mathspeak":{"default":"less-than-above-greater-than-above-double-line-equal"}},"key":"2A91"},{"category":"Sm","mappings":{"default":{"default":"greater than above less than above double line equal"},"mathspeak":{"default":"greater-than-above-less-than-above-double-line-equal"}},"key":"2A92"},{"category":"Sm","mappings":{"default":{"default":"less than above slanted equal above greater than above slanted equal"},"mathspeak":{"default":"less-than-above-slanted-equal-above-greater-than-above-slanted-equal"}},"key":"2A93"},{"category":"Sm","mappings":{"default":{"default":"greater than above slanted equal above less than above slanted equal"},"mathspeak":{"default":"greater-than-above-slanted-equal-above-less-than-above-slanted-equal"}},"key":"2A94"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than"},"mathspeak":{"default":"slanted-equals-or-less-than"}},"key":"2A95"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than"},"mathspeak":{"default":"slanted-equals-or-greater-than"}},"key":"2A96"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than with dot inside"},"mathspeak":{"default":"slanted-equals-or-less-than-with-dot-inside"}},"key":"2A97"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than with dot inside"},"mathspeak":{"default":"slanted-equals-or-greater-than-with-dot-inside"}},"key":"2A98"},{"category":"Sm","mappings":{"default":{"default":"double line equals or less than"},"mathspeak":{"default":"double-line-equals-or-less-than"}},"key":"2A99"},{"category":"Sm","mappings":{"default":{"default":"double line equals or greater than"},"mathspeak":{"default":"double-line-equals-or-greater-than"}},"key":"2A9A"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or less than"},"mathspeak":{"default":"double-line-slanted-equals-or-less-than"}},"key":"2A9B"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or greater than"},"mathspeak":{"default":"double-line-slanted-equals-or-greater-than"}},"key":"2A9C"},{"category":"Sm","mappings":{"default":{"default":"similar or less than"},"mathspeak":{"default":"similar-or-less-than"}},"key":"2A9D"},{"category":"Sm","mappings":{"default":{"default":"similar or greater than"},"mathspeak":{"default":"similar-or-greater-than"}},"key":"2A9E"},{"category":"Sm","mappings":{"default":{"default":"similar above less than above equals sign"},"mathspeak":{"default":"similar-above-less-than-above-equals"}},"key":"2A9F"},{"category":"Sm","mappings":{"default":{"default":"similar above greater than above equals sign"},"mathspeak":{"default":"similar-above-greater-than-above-equals"}},"key":"2AA0"},{"category":"Sm","mappings":{"default":{"default":"double nested less than"},"mathspeak":{"default":"double-nested-less-than"}},"key":"2AA1"},{"category":"Sm","mappings":{"default":{"default":"double nested greater than"},"mathspeak":{"default":"double-nested-greater-than"}},"key":"2AA2"},{"category":"Sm","mappings":{"default":{"default":"double nested less than with underbar"},"mathspeak":{"default":"double-nested-less-than-with-underbar"}},"key":"2AA3"},{"category":"Sm","mappings":{"default":{"default":"greater than overlapping less than"},"mathspeak":{"default":"greater-than-overlapping-less-than"}},"key":"2AA4"},{"category":"Sm","mappings":{"default":{"default":"greater than beside less than"},"mathspeak":{"default":"greater-than-beside-less-than"}},"key":"2AA5"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve"},"mathspeak":{"default":"less-than-closed-by-curve"}},"key":"2AA6"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve"},"mathspeak":{"default":"greater-than-closed-by-curve"}},"key":"2AA7"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve above slanted equal"},"mathspeak":{"default":"less-than-closed-by-curve-above-slanted-equal"}},"key":"2AA8"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve above slanted equal"},"mathspeak":{"default":"greater-than-closed-by-curve-above-slanted-equal"}},"key":"2AA9"},{"category":"Sm","mappings":{"default":{"default":"smaller than"},"mathspeak":{"default":"smaller-than"}},"key":"2AAA"},{"category":"Sm","mappings":{"default":{"default":"larger than"},"mathspeak":{"default":"larger-than"}},"key":"2AAB"},{"category":"Sm","mappings":{"default":{"default":"smaller than or equals"},"mathspeak":{"default":"smaller-than-or-equal-to"}},"key":"2AAC"},{"category":"Sm","mappings":{"default":{"default":"larger than or equals"},"mathspeak":{"default":"larger-than-or-equal-to"}},"key":"2AAD"},{"category":"Sm","mappings":{"default":{"default":"equals sign with bumpy above"},"mathspeak":{"default":"equals-with-bumpy-above"}},"key":"2AAE"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line equals sign"},"mathspeak":{"default":"precedes-above-single-line-equals"}},"key":"2AAF"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line equals sign"},"mathspeak":{"default":"succeeds-above-single-line-equals"}},"key":"2AB0"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line not equals"},"mathspeak":{"default":"precedes-above-single-line-not-equals"}},"key":"2AB1"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line not equals"},"mathspeak":{"default":"succeeds-above-single-line-not-equals"}},"key":"2AB2"},{"category":"Sm","mappings":{"default":{"default":"precedes above equals sign"},"mathspeak":{"default":"precedes-above-equals"}},"key":"2AB3"},{"category":"Sm","mappings":{"default":{"default":"succeeds above equals sign"},"mathspeak":{"default":"succeeds-above-equals"}},"key":"2AB4"},{"category":"Sm","mappings":{"default":{"default":"precedes above not equals"},"mathspeak":{"default":"precedes-above-not-equals"}},"key":"2AB5"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not equals"},"mathspeak":{"default":"succeeds-above-not-equals"}},"key":"2AB6"},{"category":"Sm","mappings":{"default":{"default":"precedes above almost equals"},"mathspeak":{"default":"precedes-above-almost-equals"}},"key":"2AB7"},{"category":"Sm","mappings":{"default":{"default":"succeeds above almost equals"},"mathspeak":{"default":"succeeds-above-almost-equals"}},"key":"2AB8"},{"category":"Sm","mappings":{"default":{"default":"precedes above not almost equals"},"mathspeak":{"default":"precedes-above-not-almost-equals"}},"key":"2AB9"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not almost equals"},"mathspeak":{"default":"succeeds-above-not-almost-equals"}},"key":"2ABA"},{"category":"Sm","mappings":{"default":{"default":"double precedes"},"mathspeak":{"default":"double-precedes"}},"key":"2ABB"},{"category":"Sm","mappings":{"default":{"default":"double succeeds"},"mathspeak":{"default":"double-succeeds"}},"key":"2ABC"},{"category":"Sm","mappings":{"default":{"default":"subset with dot"},"mathspeak":{"default":"subset-with-dot"}},"key":"2ABD"},{"category":"Sm","mappings":{"default":{"default":"superset with dot"},"mathspeak":{"default":"superset-with-dot"}},"key":"2ABE"},{"category":"Sm","mappings":{"default":{"default":"subset with plus sign below"},"mathspeak":{"default":"subset-with-plus-sign-below"}},"key":"2ABF"},{"category":"Sm","mappings":{"default":{"default":"superset with plus sign below"},"mathspeak":{"default":"superset-with-plus-sign-below"}},"key":"2AC0"},{"category":"Sm","mappings":{"default":{"default":"subset with multiplication sign below"},"mathspeak":{"default":"subset-with-multiplication-sign-below"}},"key":"2AC1"},{"category":"Sm","mappings":{"default":{"default":"superset with multiplication sign below"},"mathspeak":{"default":"superset-with-multiplication-sign-below"}},"key":"2AC2"},{"category":"Sm","mappings":{"default":{"default":"subset of or equals with dot above"},"mathspeak":{"default":"subset-of-or-equal-to-with-dot-above"}},"key":"2AC3"},{"category":"Sm","mappings":{"default":{"default":"superset of or equals with dot above"},"mathspeak":{"default":"superset-of-or-equal-to-with-dot-above"}},"key":"2AC4"},{"category":"Sm","mappings":{"default":{"default":"subset of above equals sign"},"mathspeak":{"default":"subset-of-above-equals"}},"key":"2AC5"},{"category":"Sm","mappings":{"default":{"default":"superset of above equals sign"},"mathspeak":{"default":"superset-of-above-equals"}},"key":"2AC6"},{"category":"Sm","mappings":{"default":{"default":"subset of above tilde operator"},"mathspeak":{"default":"subset-of-above-tilde"}},"key":"2AC7"},{"category":"Sm","mappings":{"default":{"default":"superset of above tilde operator"},"mathspeak":{"default":"superset-of-above-tilde"}},"key":"2AC8"},{"category":"Sm","mappings":{"default":{"default":"subset of above almost equals"},"mathspeak":{"default":"subset-of-above-almost-equals"}},"key":"2AC9"},{"category":"Sm","mappings":{"default":{"default":"superset of above almost equals"},"mathspeak":{"default":"superset-of-above-almost-equals"}},"key":"2ACA"},{"category":"Sm","mappings":{"default":{"default":"subset of above not equals"},"mathspeak":{"default":"subset-of-above-not-equals"}},"key":"2ACB"},{"category":"Sm","mappings":{"default":{"default":"superset of above not equals"},"mathspeak":{"default":"superset-of-above-not-equals"}},"key":"2ACC"},{"category":"Sm","mappings":{"default":{"default":"square left open box operator"},"mathspeak":{"default":"square-left-open-box"}},"key":"2ACD"},{"category":"Sm","mappings":{"default":{"default":"square right open box operator"},"mathspeak":{"default":"square-right-open-box"}},"key":"2ACE"},{"category":"Sm","mappings":{"default":{"default":"closed subset"},"mathspeak":{"default":"closed-subset"}},"key":"2ACF"},{"category":"Sm","mappings":{"default":{"default":"closed superset"},"mathspeak":{"default":"closed-superset"}},"key":"2AD0"},{"category":"Sm","mappings":{"default":{"default":"closed subset or equals"},"mathspeak":{"default":"closed-subset-or-equal-to"}},"key":"2AD1"},{"category":"Sm","mappings":{"default":{"default":"closed superset or equals"},"mathspeak":{"default":"closed-superset-or-equal-to"}},"key":"2AD2"},{"category":"Sm","mappings":{"default":{"default":"subset above superset"},"mathspeak":{"default":"subset-above-superset"}},"key":"2AD3"},{"category":"Sm","mappings":{"default":{"default":"superset above subset"},"mathspeak":{"default":"superset-above-subset"}},"key":"2AD4"},{"category":"Sm","mappings":{"default":{"default":"subset above subset"},"mathspeak":{"default":"subset-above-subset"}},"key":"2AD5"},{"category":"Sm","mappings":{"default":{"default":"superset above superset"},"mathspeak":{"default":"superset-above-superset"}},"key":"2AD6"},{"category":"Sm","mappings":{"default":{"default":"superset beside subset"},"mathspeak":{"default":"superset-beside-subset"}},"key":"2AD7"},{"category":"Sm","mappings":{"default":{"default":"superset beside and joined by dash with subset"},"mathspeak":{"default":"superset-beside-and-joined-by-dash-with-subset"}},"key":"2AD8"},{"category":"Sm","mappings":{"default":{"default":"element of opening downwards"},"mathspeak":{"default":"element-of-opening-downwards"}},"key":"2AD9"},{"category":"Sm","mappings":{"default":{"default":"pitchfork with tee top"},"mathspeak":{"default":"pitchfork-with-tee-top"}},"key":"2ADA"},{"category":"Sm","mappings":{"default":{"default":"transversal intersection"},"mathspeak":{"default":"transversal-intersection"}},"key":"2ADB"},{"category":"Sm","mappings":{"default":{"default":"forking"}},"key":"2ADC"},{"category":"Sm","mappings":{"default":{"default":"nonforking"}},"key":"2ADD"},{"category":"Sm","mappings":{"default":{"default":"short left tack"},"mathspeak":{"default":"short-left-tack"}},"key":"2ADE"},{"category":"Sm","mappings":{"default":{"default":"short down tack"},"mathspeak":{"default":"short-down-tack"}},"key":"2ADF"},{"category":"Sm","mappings":{"default":{"default":"short up tack"},"mathspeak":{"default":"short-up-tack"}},"key":"2AE0"},{"category":"Sm","mappings":{"default":{"default":"perpendicular with s"},"mathspeak":{"default":"perpendicular-with-s"}},"key":"2AE1"},{"category":"Sm","mappings":{"default":{"default":"vertical bar triple right turnstile"},"mathspeak":{"default":"vertical-bar-triple-right-turnstile"}},"key":"2AE2"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar left turnstile"},"mathspeak":{"default":"double-vertical-bar-left-turnstile"}},"key":"2AE3"},{"category":"Sm","mappings":{"default":{"default":"vertical bar double left turnstile"},"mathspeak":{"default":"vertical-bar-double-left-turnstile"}},"key":"2AE4"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double left turnstile"},"mathspeak":{"default":"double-vertical-bar-double-left-turnstile"}},"key":"2AE5"},{"category":"Sm","mappings":{"default":{"default":"long dash from left member of double vertical"},"mathspeak":{"default":"long-dash-from-left-member-of-double-vertical"}},"key":"2AE6"},{"category":"Sm","mappings":{"default":{"default":"short down tack with overbar"},"mathspeak":{"default":"short-down-tack-with-overbar"}},"key":"2AE7"},{"category":"Sm","mappings":{"default":{"default":"short up tack with underbar"},"mathspeak":{"default":"short-up-tack-with-underbar"}},"key":"2AE8"},{"category":"Sm","mappings":{"default":{"default":"short up tack above short down tack"},"mathspeak":{"default":"short-up-tack-above-short-down-tack"}},"key":"2AE9"},{"category":"Sm","mappings":{"default":{"default":"double down tack"},"mathspeak":{"default":"double-down-tack"}},"key":"2AEA"},{"category":"Sm","mappings":{"default":{"default":"double up tack"},"mathspeak":{"default":"double-up-tack"}},"key":"2AEB"},{"category":"Sm","mappings":{"default":{"default":"double stroke not sign"},"mathspeak":{"default":"double-stroke-not-sign"}},"key":"2AEC"},{"category":"Sm","mappings":{"default":{"default":"reversed double stroke not sign"},"mathspeak":{"default":"reversed-double-stroke-not-sign"}},"key":"2AED"},{"category":"Sm","mappings":{"default":{"default":"does not divide with reversed negation slash"},"mathspeak":{"default":"does-not-divide-with-reversed-negation-slash"}},"key":"2AEE"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle above"},"mathspeak":{"default":"vertical-line-with-circle-above"}},"key":"2AEF"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle below"},"mathspeak":{"default":"vertical-line-with-circle-below"}},"key":"2AF0"},{"category":"Sm","mappings":{"default":{"default":"down tack with circle below"},"mathspeak":{"default":"down-tack-with-circle-below"}},"key":"2AF1"},{"category":"Sm","mappings":{"default":{"default":"parallel with horizontal stroke"},"mathspeak":{"default":"parallel-with-horizontal-stroke"}},"key":"2AF2"},{"category":"Sm","mappings":{"default":{"default":"parallel with tilde operator"},"mathspeak":{"default":"parallel-with-tilde"}},"key":"2AF3"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar binary relation"},"mathspeak":{"default":"triple-vertical-bar-binary-relation"}},"key":"2AF4"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar with horizontal stroke"},"mathspeak":{"default":"triple-vertical-bar-with-horizontal-stroke"}},"key":"2AF5"},{"category":"Sm","mappings":{"default":{"default":"triple colon operator"},"mathspeak":{"default":"triple-colon"}},"key":"2AF6"},{"category":"Sm","mappings":{"default":{"default":"triple nested less than"},"mathspeak":{"default":"triple-nested-less-than"}},"key":"2AF7"},{"category":"Sm","mappings":{"default":{"default":"triple nested greater than"},"mathspeak":{"default":"triple-nested-greater-than"}},"key":"2AF8"},{"category":"Sm","mappings":{"default":{"default":"double line slanted less than or equals"},"mathspeak":{"default":"double-line-slanted-less-than-or-equal-to"}},"key":"2AF9"},{"category":"Sm","mappings":{"default":{"default":"double line slanted greater than or equals"},"mathspeak":{"default":"double-line-slanted-greater-than-or-equal-to"}},"key":"2AFA"},{"category":"Sm","mappings":{"default":{"default":"triple solidus binary relation"},"mathspeak":{"default":"triple-solidus-binary-relation"}},"key":"2AFB"},{"category":"Sm","mappings":{"default":{"default":"large triple vertical bar operator"},"mathspeak":{"default":"large-triple-vertical-bar"}},"key":"2AFC"},{"category":"Sm","mappings":{"default":{"default":"double solidus operator"},"mathspeak":{"default":"double-solidus"}},"key":"2AFD"},{"category":"Sm","mappings":{"default":{"default":"white vertical bar"},"mathspeak":{"default":"white-vertical-bar"}},"key":"2AFE"},{"category":"Sm","mappings":{"default":{"default":"n ary white vertical bar"},"mathspeak":{"default":"white-vertical-bar"}},"key":"2AFF"},{"category":"Pd","mappings":{"default":{"default":"wave dash"},"mathspeak":{"default":"wave-dash"}},"key":"301C"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical comma"},"mathspeak":{"default":"presentation-form-for-vertical-comma"}},"key":"FE10"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical colon"},"mathspeak":{"default":"presentation-form-for-vertical-colon"}},"key":"FE13"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical semicolon"},"mathspeak":{"default":"presentation-form-for-vertical-semicolon"}},"key":"FE14"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical exclamation mark"},"mathspeak":{"default":"presentation-form-for-vertical-exclamation-mark"}},"key":"FE15"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical question mark"},"mathspeak":{"default":"presentation-form-for-vertical-question-mark"}},"key":"FE16"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical horizontal ellipsis"},"mathspeak":{"default":"presentation-form-for-vertical-horizontal-ellipsis"}},"key":"FE19"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical two dot leader","alternative":"glyph for vertical two dot leader"},"mathspeak":{"default":"glyph-for-vertical-two-dot-leader"}},"key":"FE30"},{"category":"Pd","mappings":{"default":{"default":"presentation form for vertical em dash","alternative":"glyph for vertical em dash"},"mathspeak":{"default":"glyph-for-vertical-em-dash"}},"key":"FE31"},{"category":"Pd","mappings":{"default":{"default":"presentation form for vertical en dash","alternative":"glyph for vertical en dash"},"mathspeak":{"default":"glyph-for-vertical-en-dash"}},"key":"FE32"},{"category":"Pc","mappings":{"default":{"default":"presentation form for vertical low line","alternative":"glyph for vertical spacing underscore"},"mathspeak":{"default":"glyph-for-vertical-underscore"}},"key":"FE33"},{"category":"Pc","mappings":{"default":{"default":"presentation form for vertical wavy low line","alternative":"glyph for vertical spacing wavy underscore"},"mathspeak":{"default":"glyph-for-vertical-wavy-underscore"}},"key":"FE34"},{"category":"Po","mappings":{"default":{"default":"sesame dot"},"mathspeak":{"default":"sesame-dot"}},"key":"FE45"},{"category":"Po","mappings":{"default":{"default":"white sesame dot"},"mathspeak":{"default":"white-sesame-dot"}},"key":"FE46"},{"category":"Po","mappings":{"default":{"default":"dashed overline","alternative":"spacing dashed overscore"},"mathspeak":{"default":"dashed-overscore"}},"key":"FE49"},{"category":"Po","mappings":{"default":{"default":"centerline overline","alternative":"spacing centerline overscore"},"mathspeak":{"default":"centerline-overscore"}},"key":"FE4A"},{"category":"Po","mappings":{"default":{"default":"wavy overline","alternative":"spacing wavy overscore"},"mathspeak":{"default":"wavy-overscore"}},"key":"FE4B"},{"category":"Po","mappings":{"default":{"default":"double wavy overline","alternative":"spacing double wavy overscore"},"mathspeak":{"default":"double-wavy-overscore"}},"key":"FE4C"},{"category":"Pc","mappings":{"default":{"default":"dashed low line","alternative":"spacing dashed underscore"},"mathspeak":{"default":"dashed-underscore"}},"key":"FE4D"},{"category":"Pc","mappings":{"default":{"default":"centerline low line","alternative":"spacing centerline underscore"},"mathspeak":{"default":"centerline-underscore"}},"key":"FE4E"},{"category":"Pc","mappings":{"default":{"default":"wavy low line","alternative":"spacing wavy underscore"},"mathspeak":{"default":"wavy-underscore"}},"key":"FE4F"},{"category":"Po","mappings":{"default":{"default":"small comma"},"mathspeak":{"default":"small-comma"}},"key":"FE50"},{"category":"Po","mappings":{"default":{"default":"small full stop","alternative":"small period"},"mathspeak":{"default":"small-period"}},"key":"FE52"},{"category":"Po","mappings":{"default":{"default":"small semicolon"},"mathspeak":{"default":"small-semicolon"}},"key":"FE54"},{"category":"Po","mappings":{"default":{"default":"small colon"},"mathspeak":{"default":"small-colon"}},"key":"FE55"},{"category":"Po","mappings":{"default":{"default":"small question mark"},"mathspeak":{"default":"small-question-mark"}},"key":"FE56"},{"category":"Po","mappings":{"default":{"default":"small exclamation mark"},"mathspeak":{"default":"small-exclamation-mark"}},"key":"FE57"},{"category":"Pd","mappings":{"default":{"default":"small em dash"},"mathspeak":{"default":"small-em-dash"}},"key":"FE58"},{"category":"Po","mappings":{"default":{"default":"small number sign"},"mathspeak":{"default":"small-number-sign"}},"key":"FE5F"},{"category":"Po","mappings":{"default":{"default":"small ampersand"},"mathspeak":{"default":"small-ampersand"}},"key":"FE60"},{"category":"Po","mappings":{"default":{"default":"small asterisk"},"mathspeak":{"default":"small-asterisk"}},"key":"FE61"},{"category":"Sm","mappings":{"default":{"default":"small plus sign"},"mathspeak":{"default":"small-plus-sign"}},"key":"FE62"},{"category":"Pd","mappings":{"default":{"default":"small hyphen minus"},"mathspeak":{"default":"small-hyphen-minus"}},"key":"FE63"},{"category":"Sm","mappings":{"default":{"default":"small less than sign"},"mathspeak":{"default":"small-less-than-sign"}},"key":"FE64"},{"category":"Sm","mappings":{"default":{"default":"small greater than sign"},"mathspeak":{"default":"small-greater-than-sign"}},"key":"FE65"},{"category":"Sm","mappings":{"default":{"default":"small equals sign"},"mathspeak":{"default":"small-equals"}},"key":"FE66"},{"category":"Po","mappings":{"default":{"default":"small reverse solidus","alternative":"small backslash"},"mathspeak":{"default":"small-backslash"}},"key":"FE68"},{"category":"Sc","mappings":{"default":{"default":"small dollar sign"},"mathspeak":{"default":"small-dollar-sign"}},"key":"FE69"},{"category":"Po","mappings":{"default":{"default":"small percent sign"},"mathspeak":{"default":"small-percent-sign"}},"key":"FE6A"},{"category":"Po","mappings":{"default":{"default":"small commercial at"},"mathspeak":{"default":"small-commercial-at"}},"key":"FE6B"},{"category":"Po","mappings":{"default":{"default":"fullwidth exclamation mark"},"mathspeak":{"default":"exclamation-mark"}},"key":"FF01"},{"category":"Po","mappings":{"default":{"default":"fullwidth quotation mark"},"mathspeak":{"default":"quotation-mark"}},"key":"FF02"},{"category":"Po","mappings":{"default":{"default":"fullwidth number sign"},"mathspeak":{"default":"number-sign"}},"key":"FF03"},{"category":"Sc","mappings":{"default":{"default":"fullwidth dollar sign"},"mathspeak":{"default":"dollar-sign"}},"key":"FF04"},{"category":"Po","mappings":{"default":{"default":"fullwidth percent sign"},"mathspeak":{"default":"percent-sign"}},"key":"FF05"},{"category":"Po","mappings":{"default":{"default":"fullwidth ampersand"},"mathspeak":{"default":"ampersand"}},"key":"FF06"},{"category":"Po","mappings":{"default":{"default":"fullwidth apostrophe"},"mathspeak":{"default":"apostrophe"}},"key":"FF07"},{"category":"Po","mappings":{"default":{"default":"fullwidth asterisk"},"mathspeak":{"default":"asterisk"}},"key":"FF0A"},{"category":"Sm","mappings":{"default":{"default":"fullwidth plus sign"},"mathspeak":{"default":"plus-sign"}},"key":"FF0B"},{"category":"Po","mappings":{"default":{"default":"fullwidth comma"},"mathspeak":{"default":"comma"}},"key":"FF0C"},{"category":"Pd","mappings":{"default":{"default":"fullwidth hyphen minus"},"mathspeak":{"default":"hyphen-minus"}},"key":"FF0D"},{"category":"Po","mappings":{"default":{"default":"fullwidth full stop","alternative":"fullwidth period"},"mathspeak":{"default":"period"}},"key":"FF0E"},{"category":"Po","mappings":{"default":{"default":"fullwidth solidus","alternative":"fullwidth slash"},"mathspeak":{"default":"slash"}},"key":"FF0F"},{"category":"Po","mappings":{"default":{"default":"fullwidth colon"},"mathspeak":{"default":"colon"}},"key":"FF1A"},{"category":"Po","mappings":{"default":{"default":"fullwidth semicolon"},"mathspeak":{"default":"semicolon"}},"key":"FF1B"},{"category":"Sm","mappings":{"default":{"default":"fullwidth less than sign"},"mathspeak":{"default":"less-than-sign"}},"key":"FF1C"},{"category":"Sm","mappings":{"default":{"default":"fullwidth equals sign"},"mathspeak":{"default":"equals"}},"key":"FF1D"},{"category":"Sm","mappings":{"default":{"default":"fullwidth greater than sign"},"mathspeak":{"default":"greater-than-sign"}},"key":"FF1E"},{"category":"Po","mappings":{"default":{"default":"fullwidth question mark"},"mathspeak":{"default":"question-mark"}},"key":"FF1F"},{"category":"Po","mappings":{"default":{"default":"fullwidth commercial at"},"mathspeak":{"default":"commercial-at"}},"key":"FF20"},{"category":"Po","mappings":{"default":{"default":"fullwidth reverse solidus","alternative":"fullwidth backslash"},"mathspeak":{"default":"backslash"}},"key":"FF3C"},{"category":"Sk","mappings":{"default":{"default":"fullwidth circumflex accent","alternative":"fullwidth spacing circumflex"},"mathspeak":{"default":"caret"}},"key":"FF3E"},{"category":"Pc","mappings":{"default":{"default":"fullwidth low line","alternative":"fullwidth spacing underscore"},"mathspeak":{"default":"bar"}},"key":"FF3F"},{"category":"Sk","mappings":{"default":{"default":"fullwidth grave accent","alternative":"fullwidth spacing grave"},"mathspeak":{"default":"grave"}},"key":"FF40"},{"category":"Sm","mappings":{"default":{"default":"fullwidth vertical line","alternative":"fullwidth vertical bar"},"mathspeak":{"default":"vertical-bar"}},"key":"FF5C"},{"category":"Sm","mappings":{"default":{"default":"fullwidth tilde","alternative":"fullwidth spacing tilde"},"mathspeak":{"default":"tilde"}},"key":"FF5E"},{"category":"Sc","mappings":{"default":{"default":"fullwidth cent sign"},"mathspeak":{"default":"cent-sign"}},"key":"FFE0"},{"category":"Sc","mappings":{"default":{"default":"fullwidth pound sign"},"mathspeak":{"default":"pound-sign"}},"key":"FFE1"},{"category":"Sm","mappings":{"default":{"default":"fullwidth not sign"},"mathspeak":{"default":"not-sign"}},"key":"FFE2"},{"category":"Sk","mappings":{"default":{"default":"fullwidth macron","alternative":"fullwidth spacing macron"},"mathspeak":{"default":"bar"}},"key":"FFE3"},{"category":"So","mappings":{"default":{"default":"fullwidth broken bar","alternative":"fullwidth broken vertical bar"},"mathspeak":{"default":"broken-vertical-bar"}},"key":"FFE4"},{"category":"Sc","mappings":{"default":{"default":"fullwidth yen sign"},"mathspeak":{"default":"yen-sign"}},"key":"FFE5"},{"category":"Sc","mappings":{"default":{"default":"fullwidth won sign"},"mathspeak":{"default":"won-sign"}},"key":"FFE6"},{"category":"So","mappings":{"default":{"default":"halfwidth forms light vertical"},"mathspeak":{"default":"halfwidth-forms-light-vertical"}},"key":"FFE8"},{"category":"So","mappings":{"default":{"default":"halfwidth black square"},"mathspeak":{"default":"halfwidth-black-square"}},"key":"FFED"},{"category":"So","mappings":{"default":{"default":"halfwidth white circle"},"mathspeak":{"default":"halfwidth-white-circle"}},"key":"FFEE"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/math_whitespace.js b/unpacked/extensions/a11y/mathmaps/en/symbols/math_whitespace.js
deleted file mode 100644
index 3bdfe4aa0b..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/math_whitespace.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Zs","mappings":{"default":{"default":"space"}},"key":"0020"},{"category":"Zs","mappings":{"default":{"default":"no break space","alternative":"non breaking space"}},"key":"00A0"},{"category":"Cf","mappings":{"default":{"default":"soft hyphen"}},"key":"00AD"},{"category":"Zs","mappings":{"default":{"default":"en quad"}},"key":"2000"},{"category":"Zs","mappings":{"default":{"default":"em quad"}},"key":"2001"},{"category":"Zs","mappings":{"default":{"default":"en space"}},"key":"2002"},{"category":"Zs","mappings":{"default":{"default":"em space"}},"key":"2003"},{"category":"Zs","mappings":{"default":{"default":"three per em space"}},"key":"2004"},{"category":"Zs","mappings":{"default":{"default":"four per em space"}},"key":"2005"},{"category":"Zs","mappings":{"default":{"default":"six per em space"}},"key":"2006"},{"category":"Zs","mappings":{"default":{"default":"figure space"}},"key":"2007"},{"category":"Zs","mappings":{"default":{"default":"punctuation space"}},"key":"2008"},{"category":"Zs","mappings":{"default":{"default":"thin space"}},"key":"2009"},{"category":"Zs","mappings":{"default":{"default":"hair space"}},"key":"200A"},{"category":"Cf","mappings":{"default":{"default":"zero width space"}},"key":"200B"},{"category":"Cf","mappings":{"default":{"default":"zero width non joiner"}},"key":"200C"},{"category":"Cf","mappings":{"default":{"default":"zero width joiner"}},"key":"200D"},{"category":"Cf","mappings":{"default":{"default":"left to right mark"}},"key":"200E"},{"category":"Cf","mappings":{"default":{"default":"right to left mark"}},"key":"200F"},{"category":"Zl","mappings":{"default":{"default":"line separator"}},"key":"2028"},{"category":"Zp","mappings":{"default":{"default":"paragraph separator"}},"key":"2029"},{"category":"Cf","mappings":{"default":{"default":"left to right embedding"}},"key":"202A"},{"category":"Cf","mappings":{"default":{"default":"right to left embedding"}},"key":"202B"},{"category":"Cf","mappings":{"default":{"default":"pop directional formatting"}},"key":"202C"},{"category":"Cf","mappings":{"default":{"default":"left to right override"}},"key":"202D"},{"category":"Cf","mappings":{"default":{"default":"right to left override"}},"key":"202E"},{"category":"Zs","mappings":{"default":{"default":"narrow no break space"}},"key":"202F"},{"category":"Zs","mappings":{"default":{"default":"medium mathematical space"}},"key":"205F"},{"category":"Cf","mappings":{"default":{"default":"word joiner"}},"key":"2060"},{"category":"Cf","mappings":{"default":{"default":"function application","short":"of"}},"key":"2061"},{"category":"Cf","mappings":{"default":{"default":"invisible times","short":"times"}},"key":"2062"},{"category":"Cf","mappings":{"default":{"default":"invisible separator","short":"separator"}},"key":"2063"},{"category":"Cf","mappings":{"default":{"default":"invisible plus","short":"plus"}},"key":"2064"},{"category":"Cf","mappings":{"default":{"default":"inhibit symmetric swapping"}},"key":"206A"},{"category":"Cf","mappings":{"default":{"default":"activate symmetric swapping"}},"key":"206B"},{"category":"Cf","mappings":{"default":{"default":"national digit shapes"}},"key":"206E"},{"category":"Cf","mappings":{"default":{"default":"nominal digit shapes"}},"key":"206F"},{"category":"Cf","mappings":{"default":{"default":"zero width no break space","alternative":"byte order mark"}},"key":"FEFF"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation anchor"}},"key":"FFF9"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation separator"}},"key":"FFFA"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation terminator"}},"key":"FFFB"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/symbols/other_stars.js b/unpacked/extensions/a11y/mathmaps/en/symbols/other_stars.js
deleted file mode 100644
index ba5d0a4137..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/symbols/other_stars.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"decimal exponent symbol"}},"key":"23E8"},{"category":"So","mappings":{"default":{"default":"black star"}},"key":"2605"},{"category":"So","mappings":{"default":{"default":"white star"}},"key":"2606"},{"category":"So","mappings":{"default":{"default":"medium white circle","short":"white circle"}},"key":"26AA"},{"category":"So","mappings":{"default":{"default":"medium black circle","short":"black circle"}},"key":"26AB"},{"category":"So","mappings":{"default":{"default":"white heavy check mark","short":"white check"}},"key":"2705"},{"category":"So","mappings":{"default":{"default":"check mark","short":"check"}},"key":"2713"},{"category":"So","mappings":{"default":{"default":"heavy check mark","short":"heavy check"}},"key":"2714"},{"category":"So","mappings":{"default":{"default":"multiplication x"}},"key":"2715"},{"category":"So","mappings":{"default":{"default":"heavy multiplication x"}},"key":"2716"},{"category":"So","mappings":{"default":{"default":"ballot x"}},"key":"2717"},{"category":"So","mappings":{"default":{"default":"heavy ballot x"}},"key":"2718"},{"category":"So","mappings":{"default":{"default":"open center cross"}},"key":"271B"},{"category":"So","mappings":{"default":{"default":"heavy open center cross"}},"key":"271C"},{"category":"So","mappings":{"default":{"default":"maltese cross"}},"key":"2720"},{"category":"So","mappings":{"default":{"default":"star of david"}},"key":"2721"},{"category":"So","mappings":{"default":{"default":"four teardrop spoked asterisk"}},"key":"2722"},{"category":"So","mappings":{"default":{"default":"four balloon spoked asterisk"}},"key":"2723"},{"category":"So","mappings":{"default":{"default":"heavy four balloon spoked asterisk"}},"key":"2724"},{"category":"So","mappings":{"default":{"default":"four club spoked asterisk"}},"key":"2725"},{"category":"So","mappings":{"default":{"default":"black four pointed star"}},"key":"2726"},{"category":"So","mappings":{"default":{"default":"white four pointed star"}},"key":"2727"},{"category":"So","mappings":{"default":{"default":"sparkles"}},"key":"2728"},{"category":"So","mappings":{"default":{"default":"stress outlined white star"}},"key":"2729"},{"category":"So","mappings":{"default":{"default":"circled white star"}},"key":"272A"},{"category":"So","mappings":{"default":{"default":"open center black star"}},"key":"272B"},{"category":"So","mappings":{"default":{"default":"black center white star"}},"key":"272C"},{"category":"So","mappings":{"default":{"default":"outlined black star"}},"key":"272D"},{"category":"So","mappings":{"default":{"default":"heavy outlined black star"}},"key":"272E"},{"category":"So","mappings":{"default":{"default":"pinwheel star"}},"key":"272F"},{"category":"So","mappings":{"default":{"default":"shadowed white star"}},"key":"2730"},{"category":"So","mappings":{"default":{"default":"heavy asterisk"}},"key":"2731"},{"category":"So","mappings":{"default":{"default":"open center asterisk"}},"key":"2732"},{"category":"So","mappings":{"default":{"default":"eight spoked asterisk"}},"key":"2733"},{"category":"So","mappings":{"default":{"default":"eight pointed black star"}},"key":"2734"},{"category":"So","mappings":{"default":{"default":"eight pointed pinwheel star"}},"key":"2735"},{"category":"So","mappings":{"default":{"default":"six pointed black star"}},"key":"2736"},{"category":"So","mappings":{"default":{"default":"twelve pointed black star"}},"key":"2739"},{"category":"So","mappings":{"default":{"default":"sixteen pointed asterisk"}},"key":"273A"},{"category":"So","mappings":{"default":{"default":"teardrop spoked asterisk"}},"key":"273B"},{"category":"So","mappings":{"default":{"default":"open center teardrop spoked asterisk"}},"key":"273C"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"key":"273D"},{"category":"So","mappings":{"default":{"default":"six petalled black and white florette"}},"key":"273E"},{"category":"So","mappings":{"default":{"default":"black florette"}},"key":"273F"},{"category":"So","mappings":{"default":{"default":"white florette"}},"key":"2740"},{"category":"So","mappings":{"default":{"default":"eight petalled outlined black florette"}},"key":"2741"},{"category":"So","mappings":{"default":{"default":"circled open center eight pointed star"}},"key":"2742"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked pinwheel asterisk"}},"key":"2743"},{"category":"So","mappings":{"default":{"default":"snowflake"}},"key":"2744"},{"category":"So","mappings":{"default":{"default":"tight trifoliate snowflake"}},"key":"2745"},{"category":"So","mappings":{"default":{"default":"heavy chevron snowflake"}},"key":"2746"},{"category":"So","mappings":{"default":{"default":"sparkle"}},"key":"2747"},{"category":"So","mappings":{"default":{"default":"heavy sparkle"}},"key":"2748"},{"category":"So","mappings":{"default":{"default":"balloon spoked asterisk"}},"key":"2749"},{"category":"So","mappings":{"default":{"default":"eight teardrop spoked propeller asterisk"}},"key":"274A"},{"category":"So","mappings":{"default":{"default":"heavy eight teardrop spoked propeller asterisk"}},"key":"274B"},{"category":"So","mappings":{"default":{"default":"cross mark"}},"key":"274C"},{"category":"So","mappings":{"default":{"default":"shadowed white circle"}},"key":"274D"}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/units/energy.js b/unpacked/extensions/a11y/mathmaps/en/units/energy.js
deleted file mode 100644
index 412da6b38b..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/units/energy.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"energy","mappings":{"default":{"default":"watts"}},"key":"W","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"kilowatts"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"milliwatts"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"kilowatt hours"}},"key":"kwh","names":["kwh","kWh"]},{"category":"energy","mappings":{"default":{"default":"joules"}},"key":"J","names":["J"]},{"category":"energy","mappings":{"default":{"default":"Newton"}},"key":"N","names":["N"]},{"category":"energy","mappings":{"default":{"default":"amperes"}},"key":"A","names":["A"]},{"category":"energy","mappings":{"default":{"default":"volts"}},"key":"V","names":["V"]},{"category":"energy","mappings":{"default":{"default":"microohm"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"milliohm"}},"key":"mΩ","names":["mΩ"]},{"category":"energy","mappings":{"default":{"default":"ohm"}},"key":"Ω","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"kilohm"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"ohm"}},"key":"Ω","names":["Ω"]},{"category":"energy","mappings":{"default":{"default":"megaohm"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"gigaohm"}},"key":"GΩ","names":["GΩ"]}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/units/length.js b/unpacked/extensions/a11y/mathmaps/en/units/length.js
deleted file mode 100644
index b1081024f8..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/units/length.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"Length","mappings":{"default":{"default":"millimeters"}},"key":"mm","names":["mm"]},{"category":"Length","mappings":{"default":{"default":"centimeters"}},"key":"cm","names":["cm"]},{"category":"Length","mappings":{"default":{"default":"meters"}},"key":"m","names":["m"]},{"category":"Length","mappings":{"default":{"default":"kilometers"}},"key":"km","names":["km"]},{"category":"Length","mappings":{"default":{"default":"feet"}},"key":"ft","names":["ft","ft."]},{"category":"Length","mappings":{"default":{"default":"inches"}},"key":"in","names":["in","in."]},{"category":"Length","mappings":{"default":{"default":"miles"}},"key":"mi","names":["mi","mi."]},{"category":"Length","mappings":{"default":{"default":"yards"}},"key":"yd","names":["yd","yd."]},{"category":"","mappings":{"default":{"default":"nautical miles"}},"key":"n.m.","names":["n.m."]}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/units/memory.js b/unpacked/extensions/a11y/mathmaps/en/units/memory.js
deleted file mode 100644
index 1fa748cd0d..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/units/memory.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"bits"}},"key":"b","names":["b"]},{"category":"","mappings":{"default":{"default":"bytes"}},"key":"B","names":["B"]},{"category":"","mappings":{"default":{"default":"kilobytes"}},"key":"KB","names":["KB"]},{"category":"","mappings":{"default":{"default":"megabytes"}},"key":"MB","names":["MB"]},{"category":"","mappings":{"default":{"default":"gigabytes"}},"key":"GB","names":["GB"]},{"category":"","mappings":{"default":{"default":"terabytes"}},"key":"TB","names":["TB"]}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/units/other.js b/unpacked/extensions/a11y/mathmaps/en/units/other.js
deleted file mode 100644
index 1822756e3f..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/units/other.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"dozen"}},"key":"doz","names":["doz","doz.","dz","dz."]},{"category":"","mappings":{"default":{"default":"square"}},"key":"sq","names":["sq","sq."]},{"category":"","mappings":{"default":{"default":"hectare"}},"key":"ha","names":["ha"]}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/units/speed.js b/unpacked/extensions/a11y/mathmaps/en/units/speed.js
deleted file mode 100644
index 30d2f71a6d..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/units/speed.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"knot"}},"key":"kt","names":["kt","kt."]},{"category":"","mappings":{"default":{"default":"miles per hour"}},"key":"mph","names":["mph"]},{"category":"","mappings":{"default":{"default":"revolutions per minute"}},"key":"rpm","names":["rpm"]},{"category":"","mappings":{"default":{"default":"kilometers per hour"}},"key":"kmh","names":["kmh"]}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/units/temperature.js b/unpacked/extensions/a11y/mathmaps/en/units/temperature.js
deleted file mode 100644
index 24aca14095..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/units/temperature.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"Fahrenheit"}},"key":"F","names":["F","F.","°F"]},{"category":"","mappings":{"default":{"default":"Celsius","alternative":"Centigrade"}},"key":"C","names":["C","°C"]},{"category":"","mappings":{"default":{"default":"Kelvin"}},"key":"K","names":["K","°K"]}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/units/time.js b/unpacked/extensions/a11y/mathmaps/en/units/time.js
deleted file mode 100644
index 3eed73c759..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/units/time.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"time","mappings":{"default":{"default":"nanoseconds"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"microseconds"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"milliseconds"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"seconds"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"minutes"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"hours"}},"key":"h","names":["h","hr"]}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/units/volume.js b/unpacked/extensions/a11y/mathmaps/en/units/volume.js
deleted file mode 100644
index 842eb005a5..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/units/volume.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"volume","mappings":{"default":{"default":"barrels"}},"key":"bbl","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"cubics"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"fluid ounces"}},"key":"fl. oz.","names":["fl. oz."]},{"category":"volume","mappings":{"default":{"default":"gallons"}},"key":"gal","names":["gal","gal."]},{"category":"volume","mappings":{"default":{"default":"pints"}},"key":"pt","names":["pt","pt."]},{"category":"volume","mappings":{"default":{"default":"quarts"}},"key":"qt","names":["qt","qt."]},{"category":"volume","mappings":{"default":{"default":"tablespoons"}},"key":"tbsp","names":["tbsp","tbsp."]},{"category":"volume","mappings":{"default":{"default":"teaspoons"}},"key":"tsp","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"cubic centimeters"}},"key":"cc","names":["cc"]},{"category":"volume","mappings":{"default":{"default":"kiloliters"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"liters"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"milliliters"}},"key":"ml","names":["ml"]}]
diff --git a/unpacked/extensions/a11y/mathmaps/en/units/weight.js b/unpacked/extensions/a11y/mathmaps/en/units/weight.js
deleted file mode 100644
index 5eb7af23af..0000000000
--- a/unpacked/extensions/a11y/mathmaps/en/units/weight.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"pounds"}},"key":"lb","names":["lb","lb."]},{"category":"","mappings":{"default":{"default":"long tons"}},"key":"LT","names":["LT","L.T."]},{"category":"","mappings":{"default":{"default":"ounces"}},"key":"oz","names":["oz","oz."]},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"micrograms"}}},{"category":"","mappings":{"default":{"default":"grams"}},"key":"gr","names":["g","gr"]},{"category":"","mappings":{"default":{"default":"kilograms"}},"key":"kg","names":["kg"]},{"category":"","mappings":{"default":{"default":"micrograms"}},"key":"mcg","names":["mg","µg"]},{"category":"","mappings":{"default":{"default":"milligrams"}},"key":"mg","names":["mg"]},{"category":"","mappings":{"default":{"default":"tons"}},"key":"t","names":["t","T"]}]
diff --git a/unpacked/extensions/a11y/mathmaps/es.js b/unpacked/extensions/a11y/mathmaps/es.js
new file mode 100644
index 0000000000..3b6b2182c2
--- /dev/null
+++ b/unpacked/extensions/a11y/mathmaps/es.js
@@ -0,0 +1,104 @@
+{
+"es/functions/algebra.js": 
+[{"locale":"es"},{"key":"deg","names":["deg"],"mappings":{"default":{"default":"grados"}},"category":"Algebra"},{"key":"det","names":["det"],"mappings":{"default":{"default":"determinante"}},"category":"Algebra"},{"key":"dim","names":["dim"],"mappings":{"default":{"default":"dimensión"}},"category":"Algebra"},{"key":"hom","names":["hom","Hom"],"mappings":{"default":{"default":"homomorfismo"}},"category":"Algebra"},{"key":"ker","names":["ker"],"mappings":{"default":{"default":"kernel"}},"category":"Algebra"},{"key":"Tr","names":["Tr","tr"],"mappings":{"default":{"default":"traza"}},"category":"Algebra"}]
+,
+"es/functions/elementary.js": 
+[{"locale":"es"},{"key":"log","names":["log"],"mappings":{"default":{"default":"logaritmo"}},"category":"Logarithm"},{"key":"ln","names":["ln"],"mappings":{"default":{"default":"logaritmo neperiano"}},"category":"Logarithm"},{"key":"lg","names":["lg"],"mappings":{"default":{"default":"logaritmo base 10"}},"category":"Logarithm"},{"key":"exp","names":["exp","expt"],"mappings":{"default":{"default":"exponente"}},"category":"Elementary"},{"key":"gcd","names":["gcd","mcd","MCD"],"mappings":{"default":{"default":"MCD"}},"category":"Elementary"},{"key":"lcm","names":["lcm","mcm","MCM"],"mappings":{"default":{"default":"mcm"}},"category":"Elementary"},{"key":"arg","names":["arg"],"mappings":{"default":{"default":"argumento"}},"category":"Complex"},{"key":"im","names":["im"],"mappings":{"default":{"default":"parte imaginaria"}},"category":"Complex"},{"key":"re","names":["re"],"mappings":{"default":{"default":"residuo"}},"category":"Complex"},{"key":"inf","names":["inf"],"mappings":{"default":{"default":"extremo inferior"}},"category":"Limits"},{"key":"lim","names":["lim"],"mappings":{"default":{"default":"límite"}},"category":"Limits"},{"key":"max","names":["max"],"mappings":{"default":{"default":"máximo"}},"category":"Limits"},{"key":"min","names":["min"],"mappings":{"default":{"default":"mínimo"}},"category":"Limits"},{"key":"sup","names":["sup"],"mappings":{"default":{"default":"superior"}},"category":"Limits"},{"key":"lim inf","names":["lim inf","liminf"],"mappings":{"default":{"default":"límite inferior"}},"category":"Limits"},{"key":"lim sup","names":["lim sup","limsup"],"mappings":{"default":{"default":"límite superior"}},"category":"Limits"},{"key":"injlim","names":["injlim","inj lim"],"mappings":{"default":{"default":"límite directo"}},"category":"Limits"},{"key":"projlim","names":["projlim","proj lim"],"mappings":{"default":{"default":"límite inverso"}},"category":"Limits"},{"key":"mod","names":["mod"],"mappings":{"default":{"default":"módulo"}},"category":"Elementary"},{"key":"Pr","names":["Pr"],"mappings":{"default":{"default":"probabilidad"}},"category":"Probability"}]
+,
+"es/functions/hyperbolic.js": 
+[{"locale":"es"},{"key":"cosh","names":["cosh"],"mappings":{"default":{"default":"coseno hiperbólico"}},"category":"Hyperbolic"},{"key":"coth","names":["coth"],"mappings":{"default":{"default":"cotangente hiperbólica"}},"category":"Hyperbolic"},{"key":"csch","names":["csch"],"mappings":{"default":{"default":"cosecante hiperbólica"}},"category":"Hyperbolic"},{"key":"sech","names":["sech"],"mappings":{"default":{"default":"secante hiperbólica"}},"category":"Hyperbolic"},{"key":"sinh","names":["sinh"],"mappings":{"default":{"default":"seno hiperbólico"}},"category":"Hyperbolic"},{"key":"tanh","names":["tanh"],"mappings":{"default":{"default":"tangente hiperbólica"}},"category":"Hyperbolic"},{"key":"arcosh","names":["arcosh","arccosh"],"mappings":{"default":{"default":"area coseno hiperbólico"}},"category":"Area"},{"key":"arcoth","names":["arcoth","arccoth"],"mappings":{"default":{"default":"area cotangente hiperbólica"}},"category":"Area"},{"key":"arcsch","names":["arcsch","arccsch"],"mappings":{"default":{"default":"area cosecante hiperbólica"}},"category":"Area"},{"key":"arsech","names":["arsech","arcsech"],"mappings":{"default":{"default":"area secante hiperbólica"}},"category":"Area"},{"key":"arsinh","names":["arsinh","arcsinh"],"mappings":{"default":{"default":"area seno hiperbólico"}},"category":"Area"},{"key":"artanh","names":["artanh","arctanh"],"mappings":{"default":{"default":"area tangente hiperbólica"}},"category":"Area"}]
+,
+"es/functions/trigonometry.js": 
+[{"locale":"es"},{"key":"cos","names":["cos","cosine"],"mappings":{"default":{"default":"coseno"}},"category":"Trigonometric"},{"key":"cot","names":["cot"],"mappings":{"default":{"default":"cotangente"}},"category":"Trigonometric"},{"key":"csc","names":["csc"],"mappings":{"default":{"default":"cosecante"}},"category":"Trigonometric"},{"key":"sec","names":["sec"],"mappings":{"default":{"default":"secant"}},"category":"Trigonometric"},{"key":"sin","names":["sin","sine","sen"],"mappings":{"default":{"default":"seno"}},"category":"Trigonometric"},{"key":"tan","names":["tan"],"mappings":{"default":{"default":"tangente"}},"category":"Trigonometric"},{"key":"arccos","names":["arccos"],"mappings":{"default":{"default":"arco coseno"}},"category":"Cyclometric"},{"key":"arccot","names":["arccot"],"mappings":{"default":{"default":"arco cotangente"}},"category":"Cyclometric"},{"key":"arccsc","names":["arccsc"],"mappings":{"default":{"default":"arco cosecante"}},"category":"Cyclometric"},{"key":"arcsec","names":["arcsec"],"mappings":{"default":{"default":"arco secante"}},"category":"Cyclometric"},{"key":"arcsin","names":["arcsin"],"mappings":{"default":{"default":"arco seno"}},"category":"Cyclometric"},{"key":"arctan","names":["arctan"],"mappings":{"default":{"default":"arco tangente"}},"category":"Cyclometric"}]
+,
+"es/symbols/digits_rest.js": 
+[{"locale":"es"},{"category":"No","mappings":{"default":{"default":"al cuadrado"},"mathspeak":{"default":"al cuadrado"},"clearspeak":{"default":"al cuadrado"}},"key":"00B2"},{"category":"No","mappings":{"default":{"default":"al cubo"},"mathspeak":{"default":"al cubo"},"clearspeak":{"default":"al cubo"}},"key":"00B3"},{"category":"No","mappings":{"default":{"default":"un cuarto"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"un medio"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"tres cuartos"}},"key":"00BE"},{"category":"No","key":"2150","mappings":{"default":{"default":"Vulgar Fracción Un Séptimo"}}},{"category":"No","key":"2151","mappings":{"default":{"default":"Vulgar Fracción Un Noveno"}}},{"category":"No","key":"2152","mappings":{"default":{"default":"Vulgar Fracción Un Décimo"}}},{"category":"No","key":"2153","mappings":{"default":{"default":"Vulgar Fracción Un Tercero"}}},{"category":"No","key":"2154","mappings":{"default":{"default":"Fracción vulgar dos tercios"}}},{"category":"No","key":"2155","mappings":{"default":{"default":"Vulgar Fraction One Fifth"}}},{"category":"No","key":"2156","mappings":{"default":{"default":"Fracción vulgar dos quintos"}}},{"category":"No","key":"2157","mappings":{"default":{"default":"Fracción vulgar tres quintos"}}},{"category":"No","key":"2158","mappings":{"default":{"default":"Fracción vulgar cuatro quintos"}}},{"category":"No","key":"2159","mappings":{"default":{"default":"Vulgar Fracción Un Sexto"}}},{"category":"No","key":"215A","mappings":{"default":{"default":"Vulgar fracción cinco sextos"}}},{"category":"No","key":"215B","mappings":{"default":{"default":"Vulgar Fracción Un Octavo"}}},{"category":"No","key":"215C","mappings":{"default":{"default":"Fracción vulgar tres octavos"}}},{"category":"No","key":"215D","mappings":{"default":{"default":"Fracción vulgar cinco octavos"}}},{"category":"No","key":"215E","mappings":{"default":{"default":"Fracción vulgar siete octavos"}}},{"category":"No","key":"215F","mappings":{"default":{"default":"Numerador de fracciones uno"}}},{"category":"No","key":"2189","mappings":{"default":{"default":"Vulgar Fraction Zero Thirds"}}},{"category":"No","key":"3248","mappings":{"default":{"default":"Número diez en un círculo en la Plaza Negra"}}},{"category":"No","key":"3249","mappings":{"default":{"default":"Número veinte en un círculo en la Plaza Negra"}}},{"category":"No","key":"324A","mappings":{"default":{"default":"Número circundado treinta en cuadrado negro"}}},{"category":"No","key":"324B","mappings":{"default":{"default":"Número circundado Cuarenta en cuadrado negro"}}},{"category":"No","key":"324C","mappings":{"default":{"default":"Círculo número cincuenta en la plaza negra"}}},{"category":"No","key":"324D","mappings":{"default":{"default":"Círculo número sesenta en la plaza negra"}}},{"category":"No","key":"324E","mappings":{"default":{"default":"Número setenta en un círculo en la Plaza Negra"}}},{"category":"No","key":"324F","mappings":{"default":{"default":"Círculo número ochenta en cuadrado negro"}}}]
+,
+"es/symbols/greek-rest.js": 
+[{"locale":"es"},{"category":"Lu","key":"0394","mappings":{"clearspeak":{"default":"triangle","TriangleSymbol_Delta":"cap Delta"}}}]
+,
+"es/symbols/greek-scripts.js": 
+[{"locale":"es"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"pequeño mayúscula gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"pequeña mayúscula lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"pequeña mayúscula Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"pequeña mayúscula Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"pequeña mayúscula Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"modificador de pequeño gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"modificador de pequeño phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"subscripción pequeña beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"subíndice pequeña gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"subíndice rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"subíndice phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"subscripción chi"}}}]
+,
+"es/symbols/greek-symbols.js": 
+[{"locale":"es"},{"key":"03D0","mappings":{"default":{"default":"símbolo beta"}},"category":"Ll"},{"key":"03D7","mappings":{"default":{"default":"símbolo kai griego"}},"category":"Ll"},{"key":"03F6","mappings":{"default":{"default":"épsilon invertido"}},"category":"Sm"},{"category":"Lu","key":"1D7CA","mappings":{"default":{"default":"Matemática Bold Capital Digamma"}}},{"category":"Ll","key":"1D7CB","mappings":{"default":{"default":"Matemática negrita pequeño digamma"}}}]
+,
+"es/symbols/hebrew_letters.js": 
+[{"locale":"es"},{"key":"2135","mappings":{"default":{"default":"alef"}},"category":"Lo"},{"key":"2136","mappings":{"default":{"default":"bet"}},"category":"Lo"},{"key":"2137","mappings":{"default":{"default":"guímel"}},"category":"Lo"},{"key":"2138","mappings":{"default":{"default":"dálet"}},"category":"Lo"}]
+,
+"es/symbols/latin-lower-double-accent.js": 
+[{"locale":"es"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u con diéresis y macron"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u con diéresis y acento agudo"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u con diéresis y acento"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u con diéresis y grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a con diéresis y macron"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a con punto arriba y macron"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o con pecíolo y macron"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a con ring above y acento agudo"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o con diéresis y macron"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o con tilde y macron"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o con Dot Above y Macron"}}},{"key":"1E09","mappings":{"default":{"default":"c con cedilla y agudo"}},"category":"Ll"},{"key":"1E15","mappings":{"default":{"default":"e con macrón y grave"}},"category":"Ll"},{"key":"1E17","mappings":{"default":{"default":"e con macrón y agudo"}},"category":"Ll"},{"key":"1E1D","mappings":{"default":{"default":"e con cedilla y breve"}},"category":"Ll"},{"key":"1E2F","mappings":{"default":{"default":"i con diéresis y agudo"}},"category":"Ll"},{"key":"1E39","mappings":{"default":{"default":"l con punto debajo y macrón"}},"category":"Ll"},{"key":"1E4D","mappings":{"default":{"default":"o con tilde y acute"}},"category":"Ll"},{"key":"1E4F","mappings":{"default":{"default":"o con tilde y diéresis"}},"category":"Ll"},{"key":"1E51","mappings":{"default":{"default":"o con macrón y grave"}},"category":"Ll"},{"key":"1E53","mappings":{"default":{"default":"o con macrón y agudo"}},"category":"Ll"},{"key":"1E5D","mappings":{"default":{"default":"r con punto debajo y macrón"}},"category":"Ll"},{"key":"1E65","mappings":{"default":{"default":"s con agudo y punto arriba"}},"category":"Ll"},{"key":"1E67","mappings":{"default":{"default":"s con carón y punto arriba"}},"category":"Ll"},{"key":"1E69","mappings":{"default":{"default":"s con punto debajo y punto arriba"}},"category":"Ll"},{"key":"1E79","mappings":{"default":{"default":"u con tilde y agudo"}},"category":"Ll"},{"key":"1E7B","mappings":{"default":{"default":"u con macrón y diéresis"}},"category":"Ll"},{"key":"1EA5","mappings":{"default":{"default":"a con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EA7","mappings":{"default":{"default":"a con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EA9","mappings":{"default":{"default":"a con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EAB","mappings":{"default":{"default":"a con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EAD","mappings":{"default":{"default":"a con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EAF","mappings":{"default":{"default":"a con breve y agudo"}},"category":"Ll"},{"key":"1EB1","mappings":{"default":{"default":"a con breve y grave"}},"category":"Ll"},{"key":"1EB3","mappings":{"default":{"default":"a con breve y gancho arriba"}},"category":"Ll"},{"key":"1EB5","mappings":{"default":{"default":"a con breve y tilde"}},"category":"Ll"},{"key":"1EB7","mappings":{"default":{"default":"a con breve y punto debajo"}},"category":"Ll"},{"key":"1EBF","mappings":{"default":{"default":"e con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EC1","mappings":{"default":{"default":"e con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EC3","mappings":{"default":{"default":"e con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EC5","mappings":{"default":{"default":"e con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EC7","mappings":{"default":{"default":"e con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1ED1","mappings":{"default":{"default":"o con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1ED3","mappings":{"default":{"default":"o con acento circunflejo y grave"}},"category":"Ll"},{"key":"1ED5","mappings":{"default":{"default":"o con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1ED7","mappings":{"default":{"default":"o con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1ED9","mappings":{"default":{"default":"o con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EDB","mappings":{"default":{"default":"o with horn and acute"}},"category":"Ll"},{"key":"1EDD","mappings":{"default":{"default":"o with horn and grave"}},"category":"Ll"},{"key":"1EDF","mappings":{"default":{"default":"o with horn and hook above"}},"category":"Ll"},{"key":"1EE1","mappings":{"default":{"default":"o with horn and tilde"}},"category":"Ll"},{"key":"1EE3","mappings":{"default":{"default":"o con cuerno y punto debajo"}},"category":"Ll"},{"key":"1EE9","mappings":{"default":{"default":"u con cuerno y agudo"}},"category":"Ll"},{"key":"1EEB","mappings":{"default":{"default":"u con cuerno y grave"}},"category":"Ll"},{"key":"1EED","mappings":{"default":{"default":"u con cuerno y gancho arriba"}},"category":"Ll"},{"key":"1EEF","mappings":{"default":{"default":"u con cuerno y tilde"}},"category":"Ll"},{"key":"1EF1","mappings":{"default":{"default":"u con cuerno y punto debajo"}},"category":"Ll"}]
+,
+"es/symbols/latin-lower-phonetic.js": 
+[{"locale":"es"},{"key":"00F8","mappings":{"default":{"default":"o barrada"}},"category":"Ll"},{"key":"0111","mappings":{"default":{"default":"d con barra"}},"category":"Ll"},{"key":"0127","mappings":{"default":{"default":"h con guión"}},"category":"Ll"},{"key":"0142","mappings":{"default":{"default":"l con guión"}},"category":"Ll"},{"key":"0167","mappings":{"default":{"default":"t con guión"}},"category":"Ll"},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b con línea"}}},{"key":"019B","mappings":{"default":{"default":"lambda tachada"}},"category":"Ll"},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z con línea"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"parada glotal invertida con línea"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g con línea"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o con línea y acento agudo"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c con trazo"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"pequeña e con trazo"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j con trazo"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"con trazo"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y con trazo"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"pequeña sin puntos j con trazo"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i con trazo"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"pequeña sin puntos j con trazo y gancho"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"parada glotal con trazo"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"parada invertida glotal con trazo"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"de lado O con trazo"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota con trazo"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p con trazo"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon con trazo"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"larga s con trazo diagonal"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"pequeña s larga con trazo alto"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"delta convertido"}}},{"key":"1E9B","mappings":{"default":{"default":"s larga con punto arriba"}},"category":"Ll"},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta pequeña latina"}}},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"category":"Ll","key":"017F","mappings":{"default":{"default":"s larga"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b con barra encima"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"tono seis"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c con gancho"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d con barra encima"}}},{"key":"0192","mappings":{"default":{"default":"f con gancho"}},"category":"Ll"},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k con gancho"}}},{"key":"019A","mappings":{"default":{"default":"l con barra"}},"category":"Ll"},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n con pierna derecha larga"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o con cuerno"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p con gancho"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"dos tonos"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"latin letter invertido Esh bucle"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t con palatal gancho"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t con gancho"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u con horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y con gancho"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"ezh invertido"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ezh con cola"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"tono cinco"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz con acento"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae con macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ezh con acento"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"latín letra pequeña yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lezh letra pequeña latina"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"pequeña Ezh con Curl"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"latín letra pequeña Dezh Digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"e convertido"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae con acento agudo"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d con rizo"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z con gancho"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l con rizo"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n con rizo"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t con rizo"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"letra pequeña latina db digraph"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"latín letra pequeña Qp Digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s con cola cruzada"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z con cola swash"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"latín letra pequeña parada glotal"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q con cola de gancho"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"convertida en una"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alfa minúscula latina"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"convertida en alfa"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b con gancho"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"abierta o"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c con rizo"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d con cola"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d con gancho"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"invertida E"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"pequeña Schwa con gancho"}}},{"key":"025B","mappings":{"default":{"default":"e abierta"}},"category":"Ll"},{"category":"Ll","key":"025C","mappings":{"default":{"default":"invertida abierta E"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"letra pequeña latina invertida E abierta con gancho"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"cerrada invertida abierta E"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g con gancho"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"escritura latina de letras pequeñas G"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"latín letra pequeña gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"cuerno de carnero de letra pequeña latina"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"girada h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h con gancho"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"pequeña letra latina Heng con gancho"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"latín letra minúscula Iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l con tilde medio"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l con cinturón"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"letra L latina pequeña con gancho Retroflex"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"girada m"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"vuelta M con pierna larga"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m con gancho"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n con gancho izquierdo"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n con gancho retroflex"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"letra minúscula omega"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"latin Small Letter Closed Omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"Letra pequeña latina"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"vuelta r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"vuelta R con pierna larga"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"vuelta R con gancho"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"R con pierna larga"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"R con cola"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"R con anzuelo"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"invertida R con anzuelo"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"S con gancho"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"Pequeña letra latina esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"Latín letra pequeña en cuclillas invertida Esh"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"Esh minúscula latina con rizo"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"vuelta t"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"T con gancho retroflex"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"Letra de letra pequeña latina U"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"Upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"V con gancho"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"convertida V"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"girada w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"vuelta y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"Z con gancho retroflex"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z con rizo"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"faríngea con voz fricativa"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"invertida parada glotal"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"estirada c"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"Carta Bilabial Click"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"cerrada abierta e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"vuelta k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q con gancho"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"pequeña letra Dz Digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"Letra pequeña latina Dz Digraph con Curl"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"Latín letra pequeña Ts Digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"Letra pequeña latina Tesh Digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"Latín letra pequeña Tc Digraph con Curl"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"Letra pequeña latina Feng Digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"pequeña letra Ls Digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"pequeña letra Lz Digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"percusion bilabial"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"de percusión bidental"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"convertida en H con anzuelo"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"convertida en H con anzuelo y cola"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"vuelta ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"convertida abierta E"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"convertida i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"de lado O"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"de lado abierto O"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"vuelta oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"mitad superior O"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"Letra latina, letra inferior, mitad inferior O"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"hacia los lados U"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"de lado diaeresizada U"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"girada hacia los lados M"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"Carta latina expresada espirante laríngeo"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"B con tilde medio"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"D con tilde medio"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"F con tilde medio"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"M con tilde medio"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"N con tilde medio"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"P con tilde medio"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"R con tilde medio"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"R con anzuelo y tilde medio"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"S con tilde medio"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"T con tilde medio"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z con tilde media"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"girada g"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"insular g"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th con tachado"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"B con gancho palatal"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"D con gancho palatal"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"F con gancho palatino"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"G con gancho palatal"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"K con gancho palatino"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"L con gancho palatino"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"M con gancho palatino"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"N con gancho palatal"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"P con gancho palatino"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"R con gancho palatal"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"S con gancho palatal"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"Pequeña letra latina Esh con gancho palatal"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"V con gancho palatal"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"X con gancho palatal"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"Z con gancho palatal"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a con gancho retroflex"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"Alfa latina pequeña letra con gancho retroflex"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"D con gancho y cola"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"pequeña E con gancho retroflex"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"E Pequeña Open con Gancho Retroflex"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"E abierta invertido con gancho retroflex"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"pequeña Schwa con gancho retroflex"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"I con gancho retroflex"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"pequeña latina Open O con gancho retroflex"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"Esh de letra pequeña latina con gancho retroflex"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"U con gancho retroflex"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"pequeña Ezh con gancho retroflex"}}},{"key":"0149","mappings":{"default":{"default":"n precedida por apóstrofe"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
+,
+"es/symbols/latin-lower-single-accent.js": 
+[{"locale":"es"},{"key":"00E0","mappings":{"default":{"default":"a grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a aguda"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a acento circunflejo"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a con tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a diéresis"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a con anillo"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c cedilla"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e aguda"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e acento circunflejo"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e diéresis"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i aguda"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i acento circunflejo"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i diéresis"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"eñe"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o aguda"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o acento circunflejo"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o con tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o diéresis"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u aguda"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u acento circunflejo"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u diéresis"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"Y aguda","defaultMP":"ye aguda"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y diéresis","defaultMP":"ye diéresis"}},"category":"Ll"},{"key":"0101","mappings":{"default":{"default":"a barra"}},"category":"Ll"},{"key":"0103","mappings":{"default":{"default":"a con breve"}},"category":"Ll"},{"key":"0105","mappings":{"default":{"default":"a con ogonek"}},"category":"Ll"},{"key":"0107","mappings":{"default":{"default":"c con agudo"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c con acento circunflejo"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c con punto arriba"}},"category":"Ll"},{"key":"010D","mappings":{"default":{"default":"c con carón"}},"category":"Ll"},{"key":"010F","mappings":{"default":{"default":"d con carón"}},"category":"Ll"},{"key":"0113","mappings":{"default":{"default":"e barra"}},"category":"Ll"},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e con breve"}}},{"key":"0117","mappings":{"default":{"default":"e con punto arriba"}},"category":"Ll"},{"key":"0119","mappings":{"default":{"default":"e con ogonek"}},"category":"Ll"},{"key":"011B","mappings":{"default":{"default":"e con carón"}},"category":"Ll"},{"key":"011D","mappings":{"default":{"default":"g con acento circunflejo"}},"category":"Ll"},{"key":"011F","mappings":{"default":{"default":"g con breve"}},"category":"Ll"},{"key":"0121","mappings":{"default":{"default":"g con punto arriba"}},"category":"Ll"},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g con cedilla"}}},{"key":"0125","mappings":{"default":{"default":"h con acento circunflejo"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i con tilde"}},"category":"Ll"},{"key":"012B","mappings":{"default":{"default":"i barra"}},"category":"Ll"},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i con breve"}}},{"key":"012F","mappings":{"default":{"default":"i con ogonek"}},"category":"Ll"},{"key":"0131","mappings":{"default":{"default":"i sin punto"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j con acento circunflejo"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k con cedilla"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l con agudo"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l con cedilla"}},"category":"Ll"},{"key":"013E","mappings":{"default":{"default":"l con carón"}},"category":"Ll"},{"key":"0140","mappings":{"default":{"default":"l con punto mediano"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n con agudo"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n con cedilla"}},"category":"Ll"},{"key":"0148","mappings":{"default":{"default":"n con carón"}},"category":"Ll"},{"key":"014D","mappings":{"default":{"default":"o barra"}},"category":"Ll"},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o con breve"}}},{"key":"0151","mappings":{"default":{"default":"o con doble acento agudo"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r con agudo"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r con cedilla"}},"category":"Ll"},{"key":"0159","mappings":{"default":{"default":"r con carón"}},"category":"Ll"},{"key":"015B","mappings":{"default":{"default":"s con agudo"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s con acento circunflejo"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s con cedilla"}},"category":"Ll"},{"key":"0161","mappings":{"default":{"default":"s con carón"}},"category":"Ll"},{"key":"0163","mappings":{"default":{"default":"t con cedilla"}},"category":"Ll"},{"key":"0165","mappings":{"default":{"default":"t con carón"}},"category":"Ll"},{"key":"0169","mappings":{"default":{"default":"u con tilde"}},"category":"Ll"},{"key":"016B","mappings":{"default":{"default":"u barra"}},"category":"Ll"},{"key":"016D","mappings":{"default":{"default":"u con breve"}},"category":"Ll"},{"key":"016F","mappings":{"default":{"default":"u con anillo arriba"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u con doble acento agudo"}},"category":"Ll"},{"key":"0173","mappings":{"default":{"default":"u con ogonek"}},"category":"Ll"},{"key":"0175","mappings":{"default":{"default":"w con circunflejo"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y con circunflejo"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z con agudo"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z con punto"}},"category":"Ll"},{"key":"017E","mappings":{"default":{"default":"z con carón"}},"category":"Ll"},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a con acento"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i con acento"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o con acento"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u con acento"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g con acento"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k con acento"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o con pecíolo"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j con acento"}}},{"key":"01F5","mappings":{"default":{"default":"g con agudo"}},"category":"Ll"},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n con grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a con doble tumba"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a con letras invertidas"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e con doble tumba"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e con letras invertidas"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i con doble tumba"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i con Breve invertida"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o con doble tumba"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o con letras invertidas"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r con doble sepulcro"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r con letras invertidas"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u con doble tumba"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u con letras invertidas"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s con coma debajo"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t con coma debajo"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h con caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"con un punto arriba"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e con cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o con punto arriba"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y con Macron"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"s in punto j"}}},{"key":"1E01","mappings":{"default":{"default":"a con anillo debajo"}},"category":"Ll"},{"key":"1E03","mappings":{"default":{"default":"b con punto arriba"}},"category":"Ll"},{"key":"1E05","mappings":{"default":{"default":"b con punto debajo"}},"category":"Ll"},{"key":"1E07","mappings":{"default":{"default":"b con línea debajo"}},"category":"Ll"},{"key":"1E0B","mappings":{"default":{"default":"d con punto arriba"}},"category":"Ll"},{"key":"1E0D","mappings":{"default":{"default":"d con punto debajo"}},"category":"Ll"},{"key":"1E0F","mappings":{"default":{"default":"d con línea debajo"}},"category":"Ll"},{"key":"1E11","mappings":{"default":{"default":"d con cedilla"}},"category":"Ll"},{"key":"1E13","mappings":{"default":{"default":"d con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E19","mappings":{"default":{"default":"e con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E1B","mappings":{"default":{"default":"e con tilde debajo"}},"category":"Ll"},{"key":"1E1F","mappings":{"default":{"default":"f con punto arriba"}},"category":"Ll"},{"key":"1E21","mappings":{"default":{"default":"g con macrón"}},"category":"Ll"},{"key":"1E23","mappings":{"default":{"default":"h con punto arriba"}},"category":"Ll"},{"key":"1E25","mappings":{"default":{"default":"h con punto debajo"}},"category":"Ll"},{"key":"1E27","mappings":{"default":{"default":"h con diéresis"}},"category":"Ll"},{"key":"1E29","mappings":{"default":{"default":"h con cedilla"}},"category":"Ll"},{"key":"1E2B","mappings":{"default":{"default":"h con breve debajo"}},"category":"Ll"},{"key":"1E2D","mappings":{"default":{"default":"i con tilde debajo"}},"category":"Ll"},{"key":"1E31","mappings":{"default":{"default":"k con agudo"}},"category":"Ll"},{"key":"1E33","mappings":{"default":{"default":"k con punto debajo"}},"category":"Ll"},{"key":"1E35","mappings":{"default":{"default":"k con línea debajo"}},"category":"Ll"},{"key":"1E37","mappings":{"default":{"default":"l con punto debajo"}},"category":"Ll"},{"key":"1E3B","mappings":{"default":{"default":"l con línea debajo"}},"category":"Ll"},{"key":"1E3D","mappings":{"default":{"default":"l con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E3F","mappings":{"default":{"default":"m con agudo"}},"category":"Ll"},{"key":"1E41","mappings":{"default":{"default":"m con punto arriba"}},"category":"Ll"},{"key":"1E43","mappings":{"default":{"default":"m con punto debajo"}},"category":"Ll"},{"key":"1E45","mappings":{"default":{"default":"n con punto arriba"}},"category":"Ll"},{"key":"1E47","mappings":{"default":{"default":"n con punto debajo"}},"category":"Ll"},{"key":"1E49","mappings":{"default":{"default":"n con línea debajo"}},"category":"Ll"},{"key":"1E4B","mappings":{"default":{"default":"n con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E55","mappings":{"default":{"default":"p con agudo"}},"category":"Ll"},{"key":"1E57","mappings":{"default":{"default":"p con punto arriba"}},"category":"Ll"},{"key":"1E59","mappings":{"default":{"default":"r con punto arriba"}},"category":"Ll"},{"key":"1E5B","mappings":{"default":{"default":"r con punto debajo"}},"category":"Ll"},{"key":"1E5F","mappings":{"default":{"default":"r con línea debajo"}},"category":"Ll"},{"key":"1E61","mappings":{"default":{"default":"s con punto arriba"}},"category":"Ll"},{"key":"1E63","mappings":{"default":{"default":"s con punto debajo"}},"category":"Ll"},{"key":"1E6B","mappings":{"default":{"default":"t con punto arriba"}},"category":"Ll"},{"key":"1E6D","mappings":{"default":{"default":"t con punto debajo"}},"category":"Ll"},{"key":"1E6F","mappings":{"default":{"default":"t con línea debajo"}},"category":"Ll"},{"key":"1E71","mappings":{"default":{"default":"t con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E73","mappings":{"default":{"default":"u con diéresis debajo"}},"category":"Ll"},{"key":"1E75","mappings":{"default":{"default":"u con tilde debajo"}},"category":"Ll"},{"key":"1E77","mappings":{"default":{"default":"u con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E7D","mappings":{"default":{"default":"v con tilde"}},"category":"Ll"},{"key":"1E7F","mappings":{"default":{"default":"v con punto debajo"}},"category":"Ll"},{"key":"1E81","mappings":{"default":{"default":"w con grave"}},"category":"Ll"},{"key":"1E83","mappings":{"default":{"default":"w con agudo"}},"category":"Ll"},{"key":"1E85","mappings":{"default":{"default":"w con diéresis"}},"category":"Ll"},{"key":"1E87","mappings":{"default":{"default":"w con punto arriba"}},"category":"Ll"},{"key":"1E89","mappings":{"default":{"default":"w con punto debajo"}},"category":"Ll"},{"key":"1E8B","mappings":{"default":{"default":"x con punto arriba"}},"category":"Ll"},{"key":"1E8D","mappings":{"default":{"default":"x con diéresis"}},"category":"Ll"},{"key":"1E8F","mappings":{"default":{"default":"y con punto arriba"}},"category":"Ll"},{"key":"1E91","mappings":{"default":{"default":"z con acento circunflejo"}},"category":"Ll"},{"key":"1E93","mappings":{"default":{"default":"z con punto debajo"}},"category":"Ll"},{"key":"1E95","mappings":{"default":{"default":"z con línea debajo"}},"category":"Ll"},{"key":"1E96","mappings":{"default":{"default":"h con línea debajo"}},"category":"Ll"},{"key":"1E97","mappings":{"default":{"default":"t con diéresis"}},"category":"Ll"},{"key":"1E98","mappings":{"default":{"default":"w con anillo arriba"}},"category":"Ll"},{"key":"1E99","mappings":{"default":{"default":"y con anillo arriba"}},"category":"Ll"},{"key":"1E9A","mappings":{"default":{"default":"a con medio derecho de anillo"}},"category":"Ll"},{"key":"1EA1","mappings":{"default":{"default":"a con punto debajo"}},"category":"Ll"},{"key":"1EA3","mappings":{"default":{"default":"a con gancho arriba"}},"category":"Ll"},{"key":"1EB9","mappings":{"default":{"default":"e con punto debajo"}},"category":"Ll"},{"key":"1EBB","mappings":{"default":{"default":"e con gancho arriba"}},"category":"Ll"},{"key":"1EBD","mappings":{"default":{"default":"e con tilde"}},"category":"Ll"},{"key":"1EC9","mappings":{"default":{"default":"i con gancho arriba"}},"category":"Ll"},{"key":"1ECB","mappings":{"default":{"default":"i con punto debajo"}},"category":"Ll"},{"key":"1ECD","mappings":{"default":{"default":"o con punto debajo"}},"category":"Ll"},{"key":"1ECF","mappings":{"default":{"default":"o con gancho arriba"}},"category":"Ll"},{"key":"1EE5","mappings":{"default":{"default":"u con punto debajo"}},"category":"Ll"},{"key":"1EE7","mappings":{"default":{"default":"u con gancho arriba"}},"category":"Ll"},{"key":"1EF3","mappings":{"default":{"default":"y con grave"}},"category":"Ll"},{"key":"1EF5","mappings":{"default":{"default":"y con punto debajo"}},"category":"Ll"},{"key":"1EF7","mappings":{"default":{"default":"y con gancho arriba"}},"category":"Ll"},{"key":"1EF9","mappings":{"default":{"default":"y con tilde"}},"category":"Ll"}]
+,
+"es/symbols/latin-rest.js": 
+[{"locale":"es"},{"category":"Ll","key":"210E","mappings":{"default":{"default":"constante de planck"}}},{"category":"Mn","key":"0363","mappings":{"default":{"default":"combinando a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"combinando e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"combinando i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"combinando o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"combinando u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"combinando c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"combinando d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"combinando h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"combinando m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"combinando r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"combinando t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"combinando v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"combinando x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"subíndice i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"subíndice r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"subíndice u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"subíndice latino letra pequeña V"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"combinando r abajo"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"combinando letra minúscula en latín, aplanado, abierto arriba"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"combinando ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"combinando ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"combinando av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"combinando Letra Pequeña Latina C Cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"combinando insular d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"combinando la eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"combinando g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"combinando pequeña mayúscula G"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"combinando k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"combinando l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"combinando pequeña mayúscula L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"combinando pequeña mayúscula M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"combinando n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"combinando pequeña mayúscula N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"combinando pequeña mayúscula R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"combinando pequeña r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"combinando s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"combinando larga s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"combinando z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"superíndice i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"superíndice n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"subíndice a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"subíndice e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"subíndice o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"subíndice x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"subíndice schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"subíndice h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"subíndice k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"subíndice l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"subíndice m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"subíndice n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"subíndice p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"subíndice s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"subíndice t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"subíndice j"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"concha de tortuga con corchetes mayúscula S"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"círculo itálico mayúscula C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"círculo itálico mayúscula R"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"cruzada negativa cuadrada Mayúscula P"}}}]
+,
+"es/symbols/latin-upper-double-accent.js": 
+[{"locale":"es"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"mayúscula U con diéresis y macron"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"mayúscula U con diéresis y acento agudo"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"mayúscula U con diéresis y acento"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"mayúscula U con diéresis y grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"mayúscula A con diéresis y macron"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"mayúscula A con punto arriba y macron"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"mayúscula O con pecíolo y macron"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"mayúscula A con ring above y acento agudo"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"mayúscula O con diaéresis y macron"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"mayúscula O con tilde y macron"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"mayúscula O con dot above y macron"}}},{"key":"1E08","mappings":{"default":{"default":"mayúscula C con cedilla y agudo"}},"category":"Lu"},{"key":"1E14","mappings":{"default":{"default":"mayúscula E con macrón y grave"}},"category":"Lu"},{"key":"1E16","mappings":{"default":{"default":"mayúscula E con macrón y agudo"}},"category":"Lu"},{"key":"1E1C","mappings":{"default":{"default":"mayúscula E with cedilla and breve"}},"category":"Lu"},{"key":"1E2E","mappings":{"default":{"default":"mayúscula I con diéresis y agudo"}},"category":"Lu"},{"key":"1E38","mappings":{"default":{"default":"mayúscula L con punto debajo y macrón"}},"category":"Lu"},{"key":"1E4C","mappings":{"default":{"default":"mayúscula O con tilde y acute"}},"category":"Lu"},{"key":"1E4E","mappings":{"default":{"default":"mayúscula O con tilde y diéresis"}},"category":"Lu"},{"key":"1E50","mappings":{"default":{"default":"mayúscula O con macrón y grave"}},"category":"Lu"},{"key":"1E52","mappings":{"default":{"default":"mayúscula O con macrón y agudo"}},"category":"Lu"},{"key":"1E5C","mappings":{"default":{"default":"mayúscula R con punto debajo y macrón"}},"category":"Lu"},{"key":"1E64","mappings":{"default":{"default":"mayúscula S con agudo y punto arriba"}},"category":"Lu"},{"key":"1E66","mappings":{"default":{"default":"mayúscula S con carón y punto arriba"}},"category":"Lu"},{"key":"1E68","mappings":{"default":{"default":"mayúscula S con punto debajo y punto arriba"}},"category":"Lu"},{"key":"1E78","mappings":{"default":{"default":"mayúscula U con tilde y agudo"}},"category":"Lu"},{"key":"1E7A","mappings":{"default":{"default":"mayúscula U con macrón y diéresis"}},"category":"Lu"},{"key":"1EA4","mappings":{"default":{"default":"mayúscula A con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EA6","mappings":{"default":{"default":"mayúscula A con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EA8","mappings":{"default":{"default":"mayúscula A con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EAA","mappings":{"default":{"default":"mayúscula A con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EAC","mappings":{"default":{"default":"mayúscula A con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EAE","mappings":{"default":{"default":"mayúscula A con breve y agudo"}},"category":"Lu"},{"key":"1EB0","mappings":{"default":{"default":"mayúscula A con breve y grave"}},"category":"Lu"},{"key":"1EB2","mappings":{"default":{"default":"mayúscula A con breve y gancho arriba"}},"category":"Lu"},{"key":"1EB4","mappings":{"default":{"default":"mayúscula A con breve y tilde"}},"category":"Lu"},{"key":"1EB6","mappings":{"default":{"default":"mayúscula A con breve y punto debajo"}},"category":"Lu"},{"key":"1EBE","mappings":{"default":{"default":"mayúscula E con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EC0","mappings":{"default":{"default":"mayúscula E con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EC2","mappings":{"default":{"default":"mayúscula E con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EC4","mappings":{"default":{"default":"mayúscula E con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EC6","mappings":{"default":{"default":"mayúscula E con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1ED0","mappings":{"default":{"default":"mayúscula O con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1ED2","mappings":{"default":{"default":"mayúscula O con acento circunflejo y grave"}},"category":"Lu"},{"key":"1ED4","mappings":{"default":{"default":"mayúscula O con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1ED6","mappings":{"default":{"default":"mayúscula O con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1ED8","mappings":{"default":{"default":"mayúscula O con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EDA","mappings":{"default":{"default":"mayúscula O with horn and acute"}},"category":"Lu"},{"key":"1EDC","mappings":{"default":{"default":"mayúscula O with horn and grave"}},"category":"Lu"},{"key":"1EDE","mappings":{"default":{"default":"mayúscula O with horn and hook above"}},"category":"Lu"},{"key":"1EE0","mappings":{"default":{"default":"mayúscula O with horn and tilde"}},"category":"Lu"},{"key":"1EE2","mappings":{"default":{"default":"mayúscula O con cuerno y punto debajo"}},"category":"Lu"},{"key":"1EE8","mappings":{"default":{"default":"mayúscula U con cuerno y agudo"}},"category":"Lu"},{"key":"1EEA","mappings":{"default":{"default":"mayúscula U con cuerno y grave"}},"category":"Lu"},{"key":"1EEC","mappings":{"default":{"default":"mayúscula U con cuerno y gancho arriba"}},"category":"Lu"},{"key":"1EEE","mappings":{"default":{"default":"mayúscula U con cuerno y tilde"}},"category":"Lu"},{"key":"1EF0","mappings":{"default":{"default":"mayúscula U con cuerno y punto debajo"}},"category":"Lu"}]
+,
+"es/symbols/latin-upper-single-accent.js": 
+[{"locale":"es"},{"key":"00C0","mappings":{"default":{"default":"mayúscula A grave"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"mayúscula A aguda"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"mayúscula A acento circunflejo"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"mayúscula A con tilde"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"mayúscula A diéresis"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"mayúscula A con anillo"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"mayúscula C cedilla"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"mayúscula E grave"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"mayúscula E aguda"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"mayúscula E acento circunflejo"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"mayúscula E diéresis"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"mayúscula I grave"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"mayúscula I aguda"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"mayúscula I acento circumflejo"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"mayúscula I diéresis"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"mayúscula Ñ"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"mayúscula O grave"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"mayúscula O aguda"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"mayúscula O acento circunflejo"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"mayúscula O con tilde"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"mayúscula O diéresis"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"mayúscula U grave"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"mayúscula U aguda"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"mayúscula U acento circunflejo"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"mayúscula U diéresis"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"mayúscula Y aguda"}},"category":"Lu"},{"key":"0100","mappings":{"default":{"default":"mayúscula A barra"}},"category":"Lu"},{"key":"0102","mappings":{"default":{"default":"mayúscula A con breve"}},"category":"Lu"},{"key":"0104","mappings":{"default":{"default":"mayúscula A con ogonek"}},"category":"Lu"},{"key":"0106","mappings":{"default":{"default":"mayúscula C con agudo"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"mayúscula C con acento circunflejo"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"mayúscula C con punto arriba"}},"category":"Lu"},{"key":"010C","mappings":{"default":{"default":"mayúscula C con carón"}},"category":"Lu"},{"key":"010E","mappings":{"default":{"default":"mayúscula D con carón"}},"category":"Lu"},{"key":"0112","mappings":{"default":{"default":"mayúscula E barra"}},"category":"Lu"},{"category":"Lu","key":"0114","mappings":{"default":{"default":"mayúscula E con breve"}}},{"key":"0116","mappings":{"default":{"default":"mayúscula E con punto arriba"}},"category":"Lu"},{"key":"0118","mappings":{"default":{"default":"mayúscula E con ogonek"}},"category":"Lu"},{"key":"011A","mappings":{"default":{"default":"mayúscula E con carón"}},"category":"Lu"},{"key":"011C","mappings":{"default":{"default":"mayúscula G con acento circunflejo"}},"category":"Lu"},{"key":"011E","mappings":{"default":{"default":"mayúscula G con breve"}},"category":"Lu"},{"key":"0120","mappings":{"default":{"default":"mayúscula G con punto arriba"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"mayúscula G con cedilla"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"mayúscula H con acento circunflejo"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"mayúscula I con tilde"}},"category":"Lu"},{"key":"012A","mappings":{"default":{"default":"mayúscula I barra"}},"category":"Lu"},{"category":"Lu","key":"012C","mappings":{"default":{"default":"mayúscula I con breve"}}},{"key":"012E","mappings":{"default":{"default":"mayúscula I con ogonek"}},"category":"Lu"},{"key":"0130","mappings":{"default":{"default":"mayúscula I con punto arriba"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"mayúscula J con acento circunflejo"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"mayúscula K con cedilla"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"mayúscula L con agudo"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"mayúscula L con cedilla"}},"category":"Lu"},{"key":"013D","mappings":{"default":{"default":"mayúscula L con carón"}},"category":"Lu"},{"key":"013F","mappings":{"default":{"default":"mayúscula L con punto mediano"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"mayúscula N con agudo"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"mayúscula N con cedilla"}},"category":"Lu"},{"key":"0147","mappings":{"default":{"default":"mayúscula n con carón"}},"category":"Lu"},{"key":"014C","mappings":{"default":{"default":"mayúscula O barra"}},"category":"Lu"},{"category":"Lu","key":"014E","mappings":{"default":{"default":"mayúscula O con breve"}}},{"key":"0150","mappings":{"default":{"default":"mayúscula O con doble acento agudo "}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"mayúscula R con agudo"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"mayúscula R con cedilla"}},"category":"Lu"},{"key":"0158","mappings":{"default":{"default":"mayúscula R con carón"}},"category":"Lu"},{"key":"015A","mappings":{"default":{"default":"mayúscula S con agudo"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"mayúscula S con acento circunflejo"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"mayúscula S con cedilla"}},"category":"Lu"},{"key":"0160","mappings":{"default":{"default":"mayúscula S con carón"}},"category":"Lu"},{"key":"0162","mappings":{"default":{"default":"mayúscula T con cedilla"}},"category":"Lu"},{"key":"0164","mappings":{"default":{"default":"mayúscula T con carón"}},"category":"Lu"},{"key":"0168","mappings":{"default":{"default":"mayúscula U con tilde"}},"category":"Lu"},{"key":"016A","mappings":{"default":{"default":"mayúscula U barra"}},"category":"Lu"},{"key":"016C","mappings":{"default":{"default":"mayúscula U con breve"}},"category":"Lu"},{"key":"016E","mappings":{"default":{"default":"mayúscula U con anillo arriba"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"mayúscula U con doble acento agudo"}},"category":"Lu"},{"key":"0172","mappings":{"default":{"default":"mayúscula U con ogonek"}},"category":"Lu"},{"key":"0174","mappings":{"default":{"default":"mayúscula W con acento circunflejo"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"mayúscula Y con circunflejo"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"mayúscula Y diéresis"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"mayúscula Z con agudo"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"mayúscula Z con punto"}},"category":"Lu"},{"key":"017D","mappings":{"default":{"default":"mayúscula Z con carón"}},"category":"Lu"},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"mayúscula A con acento"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"mayúscula I con acento"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"mayúscula O con acento"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"mayúscula U con acento"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"mayúscula G con acento"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"mayúscula K con acento"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"mayúscula O con pecíolo"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"mayúscula G con acento agudo"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"mayúscula N con grave"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"mayúscula con doble tumba"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"mayúscula a con breve invertido"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"mayúscula E con doble tumba"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"mayúscula E con Breve invertido"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"mayúscula I con doble tumba"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"mayúscula I con Breve invertido"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"mayúscula O con doble tumba"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"mayúscula O con Breve invertido"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"mayúscula R con doble tumba"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"mayúscula R con breve invertido"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"mayúscula U con doble tumba"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"mayúscula U con breve invertido"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"mayúscula S con coma debajo"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"mayúscula T con coma debajo"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"mayúscula H con Caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"mayúscula con un punto arriba"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"mayúscula E con cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"mayúscula O con punto arriba"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"Mayúscula Y con Macron"}}},{"key":"1E00","mappings":{"default":{"default":"mayúscula A con anillo debajo"}},"category":"Lu"},{"key":"1E02","mappings":{"default":{"default":"mayúscula B con punto arriba"}},"category":"Lu"},{"key":"1E04","mappings":{"default":{"default":"mayúscula B con punto debajo"}},"category":"Lu"},{"key":"1E06","mappings":{"default":{"default":"mayúscula B con línea debajo"}},"category":"Lu"},{"key":"1E0A","mappings":{"default":{"default":"mayúscula D con punto arriba"}},"category":"Lu"},{"key":"1E0C","mappings":{"default":{"default":"mayúscula D con punto debajo"}},"category":"Lu"},{"key":"1E0E","mappings":{"default":{"default":"mayúscula D con línea debajo"}},"category":"Lu"},{"key":"1E10","mappings":{"default":{"default":"mayúscula D con cedilla"}},"category":"Lu"},{"key":"1E12","mappings":{"default":{"default":"mayúscula D con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E18","mappings":{"default":{"default":"mayúscula E con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E1A","mappings":{"default":{"default":"mayúscula E con tilde debajo"}},"category":"Lu"},{"key":"1E1E","mappings":{"default":{"default":"mayúscula F con punto arriba"}},"category":"Lu"},{"key":"1E20","mappings":{"default":{"default":"mayúscula G con macrón"}},"category":"Lu"},{"key":"1E22","mappings":{"default":{"default":"mayúscula H con punto arriba"}},"category":"Lu"},{"key":"1E24","mappings":{"default":{"default":"mayúscula H con punto debajo"}},"category":"Lu"},{"key":"1E26","mappings":{"default":{"default":"mayúscula H con diéresis"}},"category":"Lu"},{"key":"1E28","mappings":{"default":{"default":"mayúscula H con cedilla"}},"category":"Lu"},{"key":"1E2A","mappings":{"default":{"default":"mayúscula H con breve debajo"}},"category":"Lu"},{"key":"1E2C","mappings":{"default":{"default":"mayúscula I con tilde debajo"}},"category":"Lu"},{"key":"1E30","mappings":{"default":{"default":"mayúscula K con agudo"}},"category":"Lu"},{"key":"1E32","mappings":{"default":{"default":"mayúscula K con punto debajo"}},"category":"Lu"},{"key":"1E34","mappings":{"default":{"default":"mayúscula K con línea debajo"}},"category":"Lu"},{"key":"1E36","mappings":{"default":{"default":"mayúscula L con punto debajo"}},"category":"Lu"},{"key":"1E3A","mappings":{"default":{"default":"mayúscula L con línea debajo"}},"category":"Lu"},{"key":"1E3C","mappings":{"default":{"default":"mayúscula L con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E3E","mappings":{"default":{"default":"mayúscula M con agudo"}},"category":"Lu"},{"key":"1E40","mappings":{"default":{"default":"mayúscula M con punto arriba"}},"category":"Lu"},{"key":"1E42","mappings":{"default":{"default":"mayúscula M con punto debajo"}},"category":"Lu"},{"key":"1E44","mappings":{"default":{"default":"mayúscula N con punto arriba"}},"category":"Lu"},{"key":"1E46","mappings":{"default":{"default":"mayúscula N con punto debajo"}},"category":"Lu"},{"key":"1E48","mappings":{"default":{"default":"mayúscula N con línea debajo"}},"category":"Lu"},{"key":"1E4A","mappings":{"default":{"default":"mayúscula N con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E54","mappings":{"default":{"default":"mayúscula P con agudo"}},"category":"Lu"},{"key":"1E56","mappings":{"default":{"default":"mayúscula P con punto arriba"}},"category":"Lu"},{"key":"1E58","mappings":{"default":{"default":"mayúscula R con punto arriba"}},"category":"Lu"},{"key":"1E5A","mappings":{"default":{"default":"mayúscula R con punto debajo"}},"category":"Lu"},{"key":"1E5E","mappings":{"default":{"default":"mayúscula R con línea debajo"}},"category":"Lu"},{"key":"1E60","mappings":{"default":{"default":"mayúscula S con punto arriba"}},"category":"Lu"},{"key":"1E62","mappings":{"default":{"default":"mayúscula S con punto debajo"}},"category":"Lu"},{"key":"1E6A","mappings":{"default":{"default":"mayúscula T con punto arriba"}},"category":"Lu"},{"key":"1E6C","mappings":{"default":{"default":"mayúscula T con punto debajo"}},"category":"Lu"},{"key":"1E6E","mappings":{"default":{"default":"mayúscula T con línea debajo"}},"category":"Lu"},{"key":"1E70","mappings":{"default":{"default":"mayúscula T con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E72","mappings":{"default":{"default":"mayúscula U con diéresis debajo"}},"category":"Lu"},{"key":"1E74","mappings":{"default":{"default":"mayúscula U con tilde debajo"}},"category":"Lu"},{"key":"1E76","mappings":{"default":{"default":"mayúscula U con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E7C","mappings":{"default":{"default":"mayúscula V con tilde"}},"category":"Lu"},{"key":"1E7E","mappings":{"default":{"default":"mayúscula V con punto debajo"}},"category":"Lu"},{"key":"1E80","mappings":{"default":{"default":"mayúscula W con grave"}},"category":"Lu"},{"key":"1E82","mappings":{"default":{"default":"mayúscula W con agudo"}},"category":"Lu"},{"key":"1E84","mappings":{"default":{"default":"mayúscula W con diéresis"}},"category":"Lu"},{"key":"1E86","mappings":{"default":{"default":"mayúscula W con punto arriba"}},"category":"Lu"},{"key":"1E88","mappings":{"default":{"default":"mayúscula W con punto debajo"}},"category":"Lu"},{"key":"1E8A","mappings":{"default":{"default":"mayúscula X con punto arriba"}},"category":"Lu"},{"key":"1E8C","mappings":{"default":{"default":"mayúscula X con diéresis"}},"category":"Lu"},{"key":"1E8E","mappings":{"default":{"default":"mayúscula Y con punto arriba"}},"category":"Lu"},{"key":"1E90","mappings":{"default":{"default":"mayúscula Z con acento circunflejo"}},"category":"Lu"},{"key":"1E92","mappings":{"default":{"default":"mayúscula Z con punto debajo"}},"category":"Lu"},{"key":"1E94","mappings":{"default":{"default":"mayúscula Z with line below"}},"category":"Lu"},{"key":"1EA0","mappings":{"default":{"default":"mayúscula A con punto debajo"}},"category":"Lu"},{"key":"1EA2","mappings":{"default":{"default":"mayúscula A con gancho arriba"}},"category":"Lu"},{"key":"1EB8","mappings":{"default":{"default":"mayúscula E con punto debajo"}},"category":"Lu"},{"key":"1EBA","mappings":{"default":{"default":"mayúscula E con gancho arriba"}},"category":"Lu"},{"key":"1EBC","mappings":{"default":{"default":"mayúscula E con tilde"}},"category":"Lu"},{"key":"1EC8","mappings":{"default":{"default":"mayúscula I con gancho arriba"}},"category":"Lu"},{"key":"1ECA","mappings":{"default":{"default":"mayúscula I con punto debajo"}},"category":"Lu"},{"key":"1ECC","mappings":{"default":{"default":"mayúscula O con punto debajo"}},"category":"Lu"},{"key":"1ECE","mappings":{"default":{"default":"mayúscula O con gancho arriba"}},"category":"Lu"},{"key":"1EE4","mappings":{"default":{"default":"mayúscula U con punto debajo"}},"category":"Lu"},{"key":"1EE6","mappings":{"default":{"default":"mayúscula U con gancho arriba"}},"category":"Lu"},{"key":"1EF2","mappings":{"default":{"default":"mayúscula Y con grave"}},"category":"Lu"},{"key":"1EF4","mappings":{"default":{"default":"mayúscula Y con punto debajo"}},"category":"Lu"},{"key":"1EF6","mappings":{"default":{"default":"mayúscula Y con gancho arriba"}},"category":"Lu"},{"key":"1EF8","mappings":{"default":{"default":"mayúscula Y con tilde"}},"category":"Lu"}]
+,
+"es/symbols/math_angles.js": 
+[{"locale":"es"},{"key":"22BE","mappings":{"default":{"default":"ángulo recto con arco"}},"category":"Sm"},{"key":"237C","mappings":{"default":{"default":"ángulo recto con flecha zigzag hacia abajo"}},"category":"Sm"},{"key":"27C0","mappings":{"default":{"default":"ángulo sólido"}},"category":"Sm"},{"category":"Sm","key":"299B","mappings":{"default":{"default":"Ángulo medido de apertura a la izquierda"}}},{"category":"Sm","key":"299C","mappings":{"default":{"default":"Variante de ángulo recto con cuadrado"}}},{"key":"299D","mappings":{"default":{"default":"ángulo recto medido con punto"}},"category":"Sm"},{"category":"Sm","key":"299E","mappings":{"default":{"default":"Ángulo con S dentro"}}},{"category":"Sm","key":"299F","mappings":{"default":{"default":"Ángulo agudo"}}},{"category":"Sm","key":"29A0","mappings":{"default":{"default":"Ángulo esférico de apertura a la izquierda"}}},{"category":"Sm","key":"29A1","mappings":{"default":{"default":"Apertura de ángulo esférico"}}},{"category":"Sm","key":"29A2","mappings":{"default":{"default":"Ángulo de giro"}}},{"category":"Sm","key":"29A3","mappings":{"default":{"default":"Ángulo invertido"}}},{"key":"29A4","mappings":{"default":{"default":"ángulo con barra inferior"}},"category":"Sm"},{"key":"29A5","mappings":{"default":{"default":"ángulo inverso con barra inferior"}},"category":"Sm"},{"key":"29A6","mappings":{"default":{"default":"ángulo oblicuo hacia arriba"}},"category":"Sm"},{"key":"29A7","mappings":{"default":{"default":"ángulo oblicuo hacia abajo"}},"category":"Sm"},{"key":"29A8","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the right"}},"category":"Sm"},{"key":"29A9","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the left"}},"category":"Sm"},{"key":"29AA","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the right"}},"category":"Sm"},{"key":"29AB","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the left"}},"category":"Sm"},{"key":"29AC","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"category":"Sm"},{"key":"29AD","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"category":"Sm"},{"key":"29AE","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"category":"Sm"},{"key":"29AF","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"category":"Sm"}]
+,
+"es/symbols/math_arrows.js": 
+[{"locale":"es"},{"key":"2190","mappings":{"default":{"default":"flecha izquierda"}},"category":"Sm"},{"key":"2191","mappings":{"default":{"default":"flecha arriba"}},"category":"Sm"},{"key":"2192","mappings":{"default":{"default":"flecha derecha","defaultMP":"flecha"}},"category":"Sm"},{"key":"2193","mappings":{"default":{"default":"flecha abajo"}},"category":"Sm"},{"key":"2194","mappings":{"default":{"default":"flecha izquierda y derecha"}},"category":"Sm"},{"key":"2195","mappings":{"default":{"default":"flecha arriba y abajo"}},"category":"So"},{"key":"2196","mappings":{"default":{"default":"flecha a noroeste"}},"category":"So"},{"key":"2197","mappings":{"default":{"default":"flecha a nordeste"}},"category":"So"},{"key":"2198","mappings":{"default":{"default":"flecha a sureste"}},"category":"So"},{"key":"2199","mappings":{"default":{"default":"flecha a suroeste"}},"category":"So"},{"key":"219A","mappings":{"default":{"default":"flecha izquierda tachada"}},"category":"Sm"},{"key":"219B","mappings":{"default":{"default":"flecha tachada"}},"category":"Sm"},{"key":"219C","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"219D","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"219E","mappings":{"default":{"default":"flecha izquierda con doble punta"}},"category":"So"},{"key":"219F","mappings":{"default":{"default":"flecha con doble punta hacia arriba"}},"category":"So"},{"key":"21A0","mappings":{"default":{"default":"flecha derechaa con doble punta"}},"category":"Sm"},{"key":"21A1","mappings":{"default":{"default":"flecha con doble punta hacia abajo"}},"category":"So"},{"key":"21A2","mappings":{"default":{"default":"flecha izquierda con cola"}},"category":"So"},{"key":"21A3","mappings":{"default":{"default":"flecha derecha con cola"}},"category":"Sm"},{"key":"21A4","mappings":{"default":{"default":"flecha izquierda de barra"}},"category":"So"},{"key":"21A5","mappings":{"default":{"default":"barra con flecha"}},"category":"So"},{"key":"21A6","mappings":{"default":{"default":"flecha derecha de barra"}},"category":"Sm"},{"key":"21A7","mappings":{"default":{"default":"flecha con barra"}},"category":"So"},{"key":"21A8","mappings":{"default":{"default":"flecha arriba y abajo con base"}},"category":"So"},{"key":"21A9","mappings":{"default":{"default":"flecha izquierda con gancho"}},"category":"So"},{"key":"21AA","mappings":{"default":{"default":"flecha con gancho"}},"category":"So"},{"key":"21AB","mappings":{"default":{"default":"flecha izquierda con lazo"}},"category":"So"},{"key":"21AC","mappings":{"default":{"default":"flecha con lazo"}},"category":"So"},{"key":"21AD","mappings":{"default":{"default":"flecha ondulada izquierda y derecha"}},"category":"So"},{"key":"21AE","mappings":{"default":{"default":"flecha izquierda y derecha tachada"}},"category":"Sm"},{"key":"21AF","mappings":{"default":{"default":"flecha zigzag abajo"}},"category":"So"},{"key":"21B0","mappings":{"default":{"default":"flecha arriba con punta izquierda"}},"category":"So"},{"key":"21B1","mappings":{"default":{"default":"flecha arriba con punta derecha"}},"category":"So"},{"key":"21B2","mappings":{"default":{"default":"flecha abajo con punta izquierda"}},"category":"So"},{"key":"21B3","mappings":{"default":{"default":"flecha abajo con punta derecha"}},"category":"So"},{"key":"21B4","mappings":{"default":{"default":"flecha derecha desde esquina inferior"}},"category":"So"},{"key":"21B5","mappings":{"default":{"default":"flecha hacia abajo desde esquina izquierda"}},"category":"So"},{"key":"21B6","mappings":{"default":{"default":"flecha semicircular superior en sentido antihorario"}},"category":"So"},{"key":"21B7","mappings":{"default":{"default":"flecha semicircular superior en sentido horario"}},"category":"So"},{"key":"21B8","mappings":{"default":{"default":"flecha noroeste a barra larga"}},"category":"So"},{"key":"21B9","mappings":{"default":{"default":"flecha izquierda a barra arriba de flecha derecha a barra"}},"category":"So"},{"key":"21BA","mappings":{"default":{"default":"flecha circular abierta en sentido antihorario"}},"category":"So"},{"key":"21BB","mappings":{"default":{"default":"flecha circular abierta en sentido horario"}},"category":"So"},{"key":"21C4","mappings":{"default":{"default":"flecha derecha arriba de flecha izquierda"}},"category":"So"},{"key":"21C5","mappings":{"default":{"default":"flecha arriba a la izquierda de flecha abajo"}},"category":"So"},{"key":"21C6","mappings":{"default":{"default":"flecha izquierda arriba de flecha derecha"}},"category":"So"},{"key":"21C7","mappings":{"default":{"default":"dos flechas hacia la izquierda"}},"category":"So"},{"key":"21C8","mappings":{"default":{"default":"dos flechas hacia arriba"}},"category":"So"},{"key":"21C9","mappings":{"default":{"default":"dos flechas"}},"category":"So"},{"key":"21CA","mappings":{"default":{"default":"dos flechas hacia abajo"}},"category":"So"},{"key":"21CD","mappings":{"default":{"default":"flecha doble izquierda tachada"}},"category":"So"},{"key":"21CE","mappings":{"default":{"default":"flecha doble izquierda y derecha tachada"}},"category":"Sm"},{"key":"21CF","mappings":{"default":{"default":"flecha doble tachada"}},"category":"Sm"},{"key":"21D0","mappings":{"default":{"default":"flecha doble hacia la izquierda"}},"category":"So"},{"key":"21D1","mappings":{"default":{"default":"flecha doble hacia arriba"}},"category":"So"},{"key":"21D2","mappings":{"default":{"default":"flecha doble"}},"category":"Sm"},{"key":"21D3","mappings":{"default":{"default":"flecha doble hacia abajo"}},"category":"So"},{"key":"21D4","mappings":{"default":{"default":"flecha doble izquierda-derecha"}},"category":"Sm"},{"key":"21D5","mappings":{"default":{"default":"flecha doble vertical"}},"category":"So"},{"key":"21D6","mappings":{"default":{"default":"flecha doble hacia noroeste"}},"category":"So"},{"key":"21D7","mappings":{"default":{"default":"flecha doble hacia nordeste"}},"category":"So"},{"key":"21D8","mappings":{"default":{"default":"flecha doble hacia sudeste"}},"category":"So"},{"key":"21D9","mappings":{"default":{"default":"flecha doble hacia sudoeste"}},"category":"So"},{"key":"21DA","mappings":{"default":{"default":"flecha triple izquierda"}},"category":"So"},{"key":"21DB","mappings":{"default":{"default":"flecha triple"}},"category":"So"},{"key":"21DC","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"21DD","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"21DE","mappings":{"default":{"default":"flecha hacia arriba con doble tachado"}},"category":"So"},{"key":"21DF","mappings":{"default":{"default":"flecha hacia abajo con doble tachado"}},"category":"So"},{"key":"21E0","mappings":{"default":{"default":"flecha de puntos hacia la izquierda"}},"category":"So"},{"key":"21E1","mappings":{"default":{"default":"flecha de puntos hacia arriba"}},"category":"So"},{"key":"21E2","mappings":{"default":{"default":"flecha de puntos"}},"category":"So"},{"key":"21E3","mappings":{"default":{"default":"flecha de puntos hacia abajo"}},"category":"So"},{"key":"21E4","mappings":{"default":{"default":"flecha izquierda a barra"}},"category":"So"},{"key":"21E5","mappings":{"default":{"default":"flecha derecha a barra"}},"category":"So"},{"key":"21E6","mappings":{"default":{"default":"flecha vacía hacia la izquierda"}},"category":"So"},{"key":"21E7","mappings":{"default":{"default":"flecha vacía hacia arriba"}},"category":"So"},{"key":"21E8","mappings":{"default":{"default":"flecha vacía"}},"category":"So"},{"key":"21E9","mappings":{"default":{"default":"flecha vacía hacia abajo"}},"category":"So"},{"key":"21EA","mappings":{"default":{"default":"flecha vacía hacia arriba desde barra"}},"category":"So"},{"category":"So","key":"21EB","mappings":{"default":{"default":"flecha blanca hacia arriba en el pedestal"}}},{"category":"So","key":"21EC","mappings":{"default":{"default":"flecha blanca hacia arriba sobre pedestal con barra horizontal"}}},{"category":"So","key":"21ED","mappings":{"default":{"default":"flecha blanca hacia arriba sobre pedestal con barra vertical"}}},{"category":"So","key":"21EE","mappings":{"default":{"default":"flecha doble hacia arriba blanca"}}},{"category":"So","key":"21EF","mappings":{"default":{"default":"flecha doble hacia arriba blanca en pedestal"}}},{"category":"So","key":"21F0","mappings":{"default":{"default":"flecha blanca hacia la derecha de la pared"}}},{"category":"So","key":"21F1","mappings":{"default":{"default":"flecha del noroeste a la esquina"}}},{"category":"So","key":"21F2","mappings":{"default":{"default":"flecha del sudeste a la esquina"}}},{"category":"So","key":"21F3","mappings":{"default":{"default":"arriba abajo flecha blanca"}}},{"category":"Sm","key":"21F4","mappings":{"default":{"default":"flecha derecha con círculo pequeño"}}},{"key":"21F5","mappings":{"default":{"default":"upwards arrow to the right of downwards arrow"}},"category":"Sm"},{"category":"Sm","key":"21F6","mappings":{"default":{"default":"tres flechas a la derecha"}}},{"category":"Sm","key":"21F7","mappings":{"default":{"default":"flecha hacia la izquierda con trazo vertical"}}},{"category":"Sm","key":"21F8","mappings":{"default":{"default":"flecha hacia la derecha con trazo vertical"}}},{"category":"Sm","key":"21F9","mappings":{"default":{"default":"flecha izquierda derecha con trazo vertical"}}},{"category":"Sm","key":"21FA","mappings":{"default":{"default":"flecha hacia la izquierda con doble trazo vertical"}}},{"category":"Sm","key":"21FB","mappings":{"default":{"default":"flecha hacia la derecha con doble trazo vertical"}}},{"category":"Sm","key":"21FC","mappings":{"default":{"default":"flecha izquierda derecha con doble trazo vertical"}}},{"key":"21FD","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FE","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FF","mappings":{"default":{"default":"flecha izquierda derecha con punta vacía"}},"category":"Sm"},{"category":"So","key":"2301","mappings":{"default":{"default":"flecha electrica"}}},{"category":"So","key":"2303","mappings":{"default":{"default":"flecha arriba"}}},{"category":"So","key":"2304","mappings":{"default":{"default":"flecha hacia abajo"}}},{"category":"So","key":"2324","mappings":{"default":{"default":"flecha arriba entre dos barras horizontales"}}},{"category":"So","key":"238B","mappings":{"default":{"default":"círculo roto con la flecha del noroeste"}}},{"category":"So","key":"2794","mappings":{"default":{"default":"flecha hacia la derecha con cabeza ancha"}}},{"category":"So","key":"2798","mappings":{"default":{"default":"flecha Sureste pesada"}}},{"category":"So","key":"2799","mappings":{"default":{"default":"flecha hacia la derecha pesada"}}},{"category":"So","key":"279A","mappings":{"default":{"default":"flecha pesada del noreste"}}},{"category":"So","key":"279B","mappings":{"default":{"default":"punto de dibujo Flecha hacia la derecha"}}},{"category":"So","key":"279C","mappings":{"default":{"default":"flecha hacia la derecha con punta redonda redonda"}}},{"category":"So","key":"279D","mappings":{"default":{"default":"flecha hacia la derecha con forma de triángulo"}}},{"category":"So","key":"279E","mappings":{"default":{"default":"flecha hacia la derecha con forma de triángulo pesado"}}},{"category":"So","key":"279F","mappings":{"default":{"default":"triángulo punteado hacia la flecha hacia la derecha"}}},{"category":"So","key":"27A0","mappings":{"default":{"default":"flecha hacia la derecha con forma de triángulo de trazo pesado"}}},{"category":"So","key":"27A1","mappings":{"default":{"default":"flecha hacia la derecha negra"}}},{"category":"So","key":"27A2","mappings":{"default":{"default":"punta de flecha tridimensional hacia la derecha hacia arriba"}}},{"category":"So","key":"27A3","mappings":{"default":{"default":"punta de flecha hacia la derecha con iluminación inferior en tres dimensiones"}}},{"category":"So","key":"27A4","mappings":{"default":{"default":"punta de flecha negra hacia la derecha"}}},{"category":"So","key":"27A5","mappings":{"default":{"default":"pesado negro curvado hacia abajo y hacia la derecha flecha"}}},{"category":"So","key":"27A6","mappings":{"default":{"default":"pesado negro curvado hacia arriba y hacia la derecha flecha"}}},{"category":"So","key":"27A7","mappings":{"default":{"default":"squat Black Arrow hacia la derecha"}}},{"category":"So","key":"27A8","mappings":{"default":{"default":"flecha hacia la derecha de color negro cóncava puntiaguda pesada"}}},{"category":"So","key":"27A9","mappings":{"default":{"default":"sombra derecha flecha blanca hacia la derecha"}}},{"category":"So","key":"27AA","mappings":{"default":{"default":"sombra hacia la izquierda blanca a la izquierda"}}},{"category":"So","key":"27AB","mappings":{"default":{"default":"back-Tilted Shadowed White Right Arrow"}}},{"category":"So","key":"27AC","mappings":{"default":{"default":"flecha hacia la derecha blanca sombreada inclinada hacia delante"}}},{"category":"So","key":"27AD","mappings":{"default":{"default":"flecha hacia la derecha pesada inferior, sombreada a la derecha, blanca"}}},{"category":"So","key":"27AE","mappings":{"default":{"default":"flecha hacia la derecha blanca superior derecha sombreada pesada"}}},{"category":"So","key":"27AF","mappings":{"default":{"default":"con muesca, flecha derecha hacia abajo, a la derecha, hacia la derecha"}}},{"category":"So","key":"27B1","mappings":{"default":{"default":"con muescas, flecha derecha hacia arriba, a la derecha, hacia la derecha"}}},{"category":"So","key":"27B2","mappings":{"default":{"default":"círculo pesado blanco flecha hacia la derecha"}}},{"category":"So","key":"27B3","mappings":{"default":{"default":"flecha hacia la derecha con plumas blancas"}}},{"category":"So","key":"27B4","mappings":{"default":{"default":"flecha suroriental de plumas negras"}}},{"category":"So","key":"27B5","mappings":{"default":{"default":"flecha hacia la derecha con plumas negras"}}},{"category":"So","key":"27B6","mappings":{"default":{"default":"flecha del noreste con plumas negras"}}},{"category":"So","key":"27B7","mappings":{"default":{"default":"flecha suroriental con plumas negras pesadas"}}},{"category":"So","key":"27B8","mappings":{"default":{"default":"flecha derecha pesada con plumas negras"}}},{"category":"So","key":"27B9","mappings":{"default":{"default":"flecha del noreste con plumas negras pesadas"}}},{"category":"So","key":"27BA","mappings":{"default":{"default":"lágrima-flecha de flecha hacia la derecha"}}},{"category":"So","key":"27BB","mappings":{"default":{"default":"flecha hacia la derecha con forma de lágrima pesada"}}},{"category":"So","key":"27BC","mappings":{"default":{"default":"flecha hacia la derecha de cola de cuña"}}},{"category":"So","key":"27BD","mappings":{"default":{"default":"flecha hacia la derecha de cola de cuña pesada"}}},{"category":"So","key":"27BE","mappings":{"default":{"default":"open-Outlined Outward Arrow"}}},{"key":"27F0","mappings":{"default":{"default":"flecha cuádruple hacia arriba"}},"category":"Sm"},{"key":"27F1","mappings":{"default":{"default":"flecha cuádruple hacia abajo"}},"category":"Sm"},{"key":"27F2","mappings":{"default":{"default":"flecha hacia la izquierda desde círculo"}},"category":"Sm"},{"key":"27F3","mappings":{"default":{"default":"flecha hacia la derecha desde círculo"}},"category":"Sm"},{"key":"27F4","mappings":{"default":{"default":"flecha con más en círculo"}},"category":"Sm"},{"key":"27F5","mappings":{"default":{"default":"flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F6","mappings":{"default":{"default":"flecha larga"}},"category":"Sm"},{"key":"27F7","mappings":{"default":{"default":"flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27F8","mappings":{"default":{"default":"doble flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F9","mappings":{"default":{"default":"doble flecha larga"}},"category":"Sm"},{"key":"27FA","mappings":{"default":{"default":"doble flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27FB","mappings":{"default":{"default":"flecha larga hacia la izquierda, desde barra"}},"category":"Sm"},{"key":"27FC","mappings":{"default":{"default":"flecha larga desde barra"}},"category":"Sm"},{"key":"27FD","mappings":{"default":{"default":"doble flecha larga hacia la izquierda desde barra"}},"category":"Sm"},{"key":"27FE","mappings":{"default":{"default":"doble flecha larga desde barra"}},"category":"Sm"},{"key":"27FF","mappings":{"default":{"default":"flecha larga en zigzag"}},"category":"Sm"},{"category":"Sm","key":"2900","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con trazo vertical"}}},{"category":"Sm","key":"2901","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con doble movimiento vertical"}}},{"category":"Sm","key":"2902","mappings":{"default":{"default":"doble flecha hacia la izquierda con trazo vertical"}}},{"category":"Sm","key":"2903","mappings":{"default":{"default":"doble flecha hacia la derecha con trazo vertical"}}},{"category":"Sm","key":"2904","mappings":{"default":{"default":"izquierda Derecha Doble Flecha con Trazo Vertical"}}},{"key":"2905","mappings":{"default":{"default":"rightwards two headed arrow from bar"}},"category":"Sm"},{"category":"Sm","key":"2906","mappings":{"default":{"default":"doble flecha hacia la izquierda de la barra"}}},{"category":"Sm","key":"2907","mappings":{"default":{"default":"flecha doble hacia la derecha de la barra"}}},{"category":"Sm","key":"2908","mappings":{"default":{"default":"flecha hacia abajo con trazo horizontal"}}},{"category":"Sm","key":"2909","mappings":{"default":{"default":"flecha hacia arriba con trazo horizontal"}}},{"category":"Sm","key":"290A","mappings":{"default":{"default":"flecha triple hacia arriba"}}},{"category":"Sm","key":"290B","mappings":{"default":{"default":"triple flecha hacia abajo"}}},{"key":"290C","mappings":{"default":{"default":"leftwards double dash arrow"}},"category":"Sm"},{"key":"290D","mappings":{"default":{"default":"rightwards double dash arrow"}},"category":"Sm"},{"key":"290E","mappings":{"default":{"default":"leftwards triple dash arrow"}},"category":"Sm"},{"key":"290F","mappings":{"default":{"default":"rightwards triple dash arrow"}},"category":"Sm"},{"key":"2910","mappings":{"default":{"default":"rightwards two headed triple dash arrow"}},"category":"Sm"},{"key":"2911","mappings":{"default":{"default":"rightwards arrow with dotted stem"}},"category":"Sm"},{"key":"2912","mappings":{"default":{"default":"upwards arrow to bar"}},"category":"Sm"},{"key":"2913","mappings":{"default":{"default":"downwards arrow to bar"}},"category":"Sm"},{"category":"Sm","key":"2914","mappings":{"default":{"default":"flecha hacia la derecha con cola con trazo vertical"}}},{"category":"Sm","key":"2915","mappings":{"default":{"default":"flecha hacia la derecha con la cola con doble trazo vertical"}}},{"key":"2916","mappings":{"default":{"default":"rightwards two headed arrow with tail"}},"category":"Sm"},{"category":"Sm","key":"2917","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con cola con trazo vertical"}}},{"category":"Sm","key":"2918","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con cola con doble movimiento vertical"}}},{"key":"2919","mappings":{"default":{"default":"cola de flecha hacia la izquierda"}},"category":"Sm"},{"category":"Sm","key":"291A","mappings":{"default":{"default":"flecha hacia la derecha"}}},{"key":"291B","mappings":{"default":{"default":"cola de doble flecha hacia la izquierda"}},"category":"Sm"},{"key":"291C","mappings":{"default":{"default":"cola de doble flecha hacia la derecha"}},"category":"Sm"},{"key":"291D","mappings":{"default":{"default":"flecha hacia diamante relleno a la izquierda"}},"category":"Sm"},{"key":"291E","mappings":{"default":{"default":"flecha hacia diamante a la derecha"}},"category":"Sm"},{"key":"291F","mappings":{"default":{"default":"flecha desde barra hacia diamante a la izquierda"}},"category":"Sm"},{"key":"2920","mappings":{"default":{"default":"flecha desde barra hacia diamante a la derecha"}},"category":"Sm"},{"category":"Sm","key":"2921","mappings":{"default":{"default":"flechas del noroeste y sureste"}}},{"category":"Sm","key":"2922","mappings":{"default":{"default":"flecha noreste y sudoeste"}}},{"key":"2923","mappings":{"default":{"default":"flecha a noroeste con garfio"}},"category":"Sm"},{"key":"2924","mappings":{"default":{"default":"flecha a nordeste con garfio"}},"category":"Sm"},{"key":"2925","mappings":{"default":{"default":"flecha a sureste con garfio"}},"category":"Sm"},{"key":"2926","mappings":{"default":{"default":"flecha a suroeste con garfio"}},"category":"Sm"},{"key":"2927","mappings":{"default":{"default":"flechas a noroeste y nordeste"}},"category":"Sm"},{"key":"2928","mappings":{"default":{"default":"flechas a nordeste y sudeste"}},"category":"Sm"},{"key":"2929","mappings":{"default":{"default":"flechas a suddeste y sudoeste"}},"category":"Sm"},{"key":"292A","mappings":{"default":{"default":"flechas a sudoeste y noroeste"}},"category":"Sm"},{"category":"Sm","key":"292D","mappings":{"default":{"default":"flecha Sureste Cruzando Flecha Noreste"}}},{"category":"Sm","key":"292E","mappings":{"default":{"default":"north East Arrow Crossing South East Arrow"}}},{"category":"Sm","key":"292F","mappings":{"default":{"default":"caída en diagonal que cruza la flecha noreste"}}},{"category":"Sm","key":"2930","mappings":{"default":{"default":"creciente Cruce de la Cruz del Sureste de la Flecha"}}},{"category":"Sm","key":"2931","mappings":{"default":{"default":"north East Arrow Crossing North West Arrow"}}},{"category":"Sm","key":"2932","mappings":{"default":{"default":"north West Arrow Crossing North East Arrow"}}},{"key":"2933","mappings":{"default":{"default":"flecha ondulada"}},"category":"Sm"},{"category":"Sm","key":"2934","mappings":{"default":{"default":"flecha que apunta hacia la derecha y luego curva hacia arriba"}}},{"key":"2935","mappings":{"default":{"default":"flecha hacia la derecha que gira hacia abajo"}},"category":"Sm"},{"key":"2936","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la izquierda"}},"category":"Sm"},{"key":"2937","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la derecha"}},"category":"Sm"},{"key":"2938","mappings":{"default":{"default":"flecha semicircular a la derecha en sentido horario"}},"category":"Sm"},{"key":"2939","mappings":{"default":{"default":"flecha semicircular a la izquierda en sentido antihorario"}},"category":"Sm"},{"category":"Sm","key":"293A","mappings":{"default":{"default":"arco superior flecha hacia la izquierda"}}},{"category":"Sm","key":"293B","mappings":{"default":{"default":"arco inferior flecha hacia la izquierda"}}},{"key":"293C","mappings":{"default":{"default":"giro negativo"}},"category":"Sm"},{"key":"293D","mappings":{"default":{"default":"giro positivo"}},"category":"Sm"},{"category":"Sm","key":"293E","mappings":{"default":{"default":"flecha hacia la derecha semicircular inferior derecha"}}},{"category":"Sm","key":"293F","mappings":{"default":{"default":"flecha inferior izquierda semicircular en sentido antihorario"}}},{"category":"Sm","key":"2940","mappings":{"default":{"default":"círculo cerrado en sentido contrario a las agujas del reloj"}}},{"category":"Sm","key":"2941","mappings":{"default":{"default":"círculo cerrado en el sentido de las agujas del reloj"}}},{"category":"Sm","key":"2942","mappings":{"default":{"default":"flecha hacia la derecha sobre la flecha corta hacia la izquierda"}}},{"category":"Sm","key":"2943","mappings":{"default":{"default":"flecha hacia la izquierda sobre la flecha corta hacia la derecha"}}},{"category":"Sm","key":"2944","mappings":{"default":{"default":"flecha corta hacia la derecha arriba flecha hacia la izquierda"}}},{"key":"2945","mappings":{"default":{"default":"flecha con más suscrito"}},"category":"Sm"},{"category":"Sm","key":"2946","mappings":{"default":{"default":"flecha hacia la izquierda con más abajo"}}},{"category":"Sm","key":"2947","mappings":{"default":{"default":"flecha hacia la derecha a través de X"}}},{"key":"2948","mappings":{"default":{"default":"flecha hacia la izquierda a través de círculo"}},"category":"Sm"},{"key":"2949","mappings":{"default":{"default":"dos cabezas de flecha hacia arriba desde círculo"}},"category":"Sm"},{"key":"2970","mappings":{"default":{"default":"round implies"}},"category":"Sm"},{"key":"2971","mappings":{"default":{"default":"flecha con igual"}},"category":"Sm"},{"key":"2972","mappings":{"default":{"default":"flecha con tilde"}},"category":"Sm"},{"key":"2973","mappings":{"default":{"default":"tilde con flecha hacia la izquierda"}},"category":"Sm"},{"key":"2974","mappings":{"default":{"default":"tilde con flecha"}},"category":"Sm"},{"key":"2975","mappings":{"default":{"default":"flecha con casi igual a"}},"category":"Sm"},{"key":"2976","mappings":{"default":{"default":"flecha hacia la izquierda con menor que"}},"category":"Sm"},{"category":"Sm","key":"2977","mappings":{"default":{"default":"flecha hacia la izquierda a través de menos de"}}},{"key":"2978","mappings":{"default":{"default":"flecha con mayor que"}},"category":"Sm"},{"key":"2979","mappings":{"default":{"default":"flecha hacia la izquierda con incluido"}},"category":"Sm"},{"category":"Sm","key":"297A","mappings":{"default":{"default":"flecha hacia la izquierda a través del subconjunto"}}},{"key":"297B","mappings":{"default":{"default":"flecha hacia la izquierda con contiene"}},"category":"Sm"},{"key":"29B3","mappings":{"default":{"default":"conjunto vacío con flecha"}},"category":"Sm"},{"key":"29B4","mappings":{"default":{"default":"conjunto vacío con flecha inversa"}},"category":"Sm"},{"category":"Sm","key":"29BD","mappings":{"default":{"default":"flecha arriba a través del círculo"}}},{"category":"Sm","key":"29EA","mappings":{"default":{"default":"diamante negro con flecha hacia abajo"}}},{"category":"Sm","key":"29EC","mappings":{"default":{"default":"círculo blanco con flecha hacia abajo"}}},{"category":"Sm","key":"29ED","mappings":{"default":{"default":"círculo negro con flecha hacia abajo"}}},{"key":"2A17","mappings":{"default":{"default":"integral con flecha hacia la izquierda con garfio"}},"category":"Sm"},{"category":"So","key":"2B00","mappings":{"default":{"default":"flecha blanca del noreste"}}},{"category":"So","key":"2B01","mappings":{"default":{"default":"flecha blanca del noroeste"}}},{"category":"So","key":"2B02","mappings":{"default":{"default":"flecha blanca del sureste"}}},{"category":"So","key":"2B03","mappings":{"default":{"default":"sudoeste flecha blanca"}}},{"category":"So","key":"2B04","mappings":{"default":{"default":"izquierda derecha flecha blanca"}}},{"category":"So","key":"2B05","mappings":{"default":{"default":"flecha negra hacia la izquierda"}}},{"category":"So","key":"2B06","mappings":{"default":{"default":"flecha negra hacia arriba"}}},{"category":"So","key":"2B07","mappings":{"default":{"default":"flecha negra hacia abajo"}}},{"category":"So","key":"2B08","mappings":{"default":{"default":"flecha negra del noreste"}}},{"category":"So","key":"2B09","mappings":{"default":{"default":"flecha negra del noroeste"}}},{"category":"So","key":"2B0A","mappings":{"default":{"default":"flecha negra sur este"}}},{"category":"So","key":"2B0B","mappings":{"default":{"default":"sudoeste flecha negra"}}},{"category":"So","key":"2B0C","mappings":{"default":{"default":"izquierda derecha flecha negra"}}},{"category":"So","key":"2B0D","mappings":{"default":{"default":"arriba abajo flecha negra"}}},{"category":"So","key":"2B0E","mappings":{"default":{"default":"flecha hacia la derecha con la punta hacia abajo"}}},{"category":"So","key":"2B0F","mappings":{"default":{"default":"flecha hacia la derecha con la punta hacia arriba"}}},{"category":"So","key":"2B10","mappings":{"default":{"default":"flecha hacia la izquierda con la punta hacia abajo"}}},{"category":"So","key":"2B11","mappings":{"default":{"default":"flecha hacia la izquierda con la punta hacia arriba"}}},{"category":"Sm","key":"2B30","mappings":{"default":{"default":"flecha izquierda con círculo pequeño"}}},{"category":"Sm","key":"2B31","mappings":{"default":{"default":"tres flechas a la izquierda"}}},{"category":"Sm","key":"2B32","mappings":{"default":{"default":"flecha izquierda con un círculo más"}}},{"category":"Sm","key":"2B33","mappings":{"default":{"default":"flecha de flecha larga hacia la izquierda"}}},{"category":"Sm","key":"2B34","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con trazo vertical"}}},{"category":"Sm","key":"2B35","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con doble movimiento vertical"}}},{"category":"Sm","key":"2B36","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda de la barra"}}},{"category":"Sm","key":"2B37","mappings":{"default":{"default":"flecha triple de dos cabezas hacia la izquierda"}}},{"category":"Sm","key":"2B38","mappings":{"default":{"default":"flecha hacia la izquierda con tallo punteado"}}},{"category":"Sm","key":"2B39","mappings":{"default":{"default":"flecha hacia la izquierda con cola con trazo vertical"}}},{"category":"Sm","key":"2B3A","mappings":{"default":{"default":"flecha hacia la izquierda con cola con doble trazo vertical"}}},{"category":"Sm","key":"2B3B","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con cola"}}},{"category":"Sm","key":"2B3C","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con cola con trazo vertical"}}},{"category":"Sm","key":"2B3D","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con cola con doble movimiento vertical"}}},{"category":"Sm","key":"2B3E","mappings":{"default":{"default":"flecha hacia la izquierda a través de X"}}},{"category":"Sm","key":"2B3F","mappings":{"default":{"default":"ola flecha apuntando directamente a la izquierda"}}},{"category":"Sm","key":"2B40","mappings":{"default":{"default":"signo de igual flecha arriba a la izquierda"}}},{"category":"Sm","key":"2B41","mappings":{"default":{"default":"operador de tilde inverso sobre la flecha hacia la izquierda"}}},{"category":"Sm","key":"2B42","mappings":{"default":{"default":"flecha hacia la izquierda sobre el reverso casi igual a"}}},{"category":"Sm","key":"2B43","mappings":{"default":{"default":"flecha hacia la derecha a través de mayor-que"}}},{"category":"Sm","key":"2B44","mappings":{"default":{"default":"flecha hacia la derecha a través de Superset"}}},{"category":"So","key":"2B45","mappings":{"default":{"default":"flecha cuádruple hacia la izquierda"}}},{"category":"So","key":"2B46","mappings":{"default":{"default":"flecha cuádruple hacia la derecha"}}},{"category":"Sm","key":"2B47","mappings":{"default":{"default":"operador de tilde inverso sobre la flecha hacia la derecha"}}},{"category":"Sm","key":"2B48","mappings":{"default":{"default":"flecha hacia la derecha sobre el reverso casi igual a"}}},{"category":"Sm","key":"2B49","mappings":{"default":{"default":"operador de tilde sobre la flecha hacia la izquierda"}}},{"category":"Sm","key":"2B4A","mappings":{"default":{"default":"flecha hacia la izquierda por encima de casi igual a"}}},{"category":"Sm","key":"2B4B","mappings":{"default":{"default":"flecha hacia la izquierda sobre el operador de tilde inverso"}}},{"category":"Sm","key":"2B4C","mappings":{"default":{"default":"flecha hacia la derecha sobre el operador de tilde inverso"}}},{"category":"Sm","key":"FFE9","mappings":{"default":{"default":"flecha hacia la izquierda de medio ancho"}}},{"category":"Sm","key":"FFEA","mappings":{"default":{"default":"flecha ascendente de medio ancho"}}},{"category":"Sm","key":"FFEB","mappings":{"default":{"default":"flecha de medio ancho hacia la derecha"}}},{"category":"Sm","key":"FFEC","mappings":{"default":{"default":"flecha hacia abajo de medio ancho"}}}]
+,
+"es/symbols/math_characters.js": 
+[{"locale":"es"},{"key":"2113","mappings":{"default":{"default":"script l"}},"category":"Ll"},{"key":"2118","mappings":{"default":{"default":"p de weierstrass"}},"category":"Sm"},{"category":"Ll","key":"213C","mappings":{"default":{"default":"negrita de pizarra pi"}}},{"category":"Ll","key":"213D","mappings":{"default":{"default":"negrita de pizarra gamma"}}},{"category":"Lu","key":"213E","mappings":{"default":{"default":"negrita de pizarra mayúscula Gamma"}}},{"category":"Lu","key":"213F","mappings":{"default":{"default":"negrita de pizarra mayúscula Pi"}}},{"category":"Sm","key":"2140","mappings":{"default":{"default":"negrita de pizarra suma de n-ary"}}},{"key":"2145","mappings":{"default":{"default":"mayúscula D"}},"category":"Lu"},{"key":"2146","mappings":{"default":{"default":"d"}},"category":"Ll"},{"key":"2147","mappings":{"default":{"default":"e"}},"category":"Ll"},{"key":"2148","mappings":{"default":{"default":"i"}},"category":"Ll"},{"category":"Ll","key":"2149","mappings":{"default":{"default":"negrita de pizarra cursiva j"}}},{"category":"Ll","mappings":{"default":{"default":"cursiva sin punto i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"cursiva sin punto j"}},"key":"1D6A5"}]
+,
+"es/symbols/math_delimiters.js": 
+[{"locale":"es"},{"key":"0028","mappings":{"default":{"default":"paréntesis izquierdo","defaultMP":"paréntesis"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"paréntesis derecho","defaultMP":"cierra paréntesis"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"corchete izquierdo","defaultMP":"abre corchetes"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"corchete derecho","defaultMP":"cierra corchetes"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"llave izquierda","defaultMP":"abre llaves"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"llaves derecha","defaultMP":"cierra llaves"}},"category":"Pe"},{"category":"Ps","key":"2045","mappings":{"default":{"default":"soporte cuadrado izquierdo con pluma"}}},{"category":"Pe","key":"2046","mappings":{"default":{"default":"soporte cuadrado derecho con pluma"}}},{"key":"2308","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"Sm"},{"key":"2309","mappings":{"default":{"default":"esquina superior derecha"}},"category":"Sm"},{"key":"230A","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"Sm"},{"key":"230B","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"Sm"},{"key":"230C","mappings":{"default":{"default":"corte inferior derecho"}},"category":"So"},{"key":"230D","mappings":{"default":{"default":"corte inferior izquierdo"}},"category":"So"},{"key":"230E","mappings":{"default":{"default":"corte superior derecho "}},"category":"So"},{"key":"230F","mappings":{"default":{"default":"corte superior izquierdo"}},"category":"So"},{"key":"231C","mappings":{"default":{"default":"ángulo superior izquierdo"}},"category":"So"},{"key":"231D","mappings":{"default":{"default":"ángulo superior derecho"}},"category":"So"},{"key":"231E","mappings":{"default":{"default":"ángulo inferior izquierdo"}},"category":"So"},{"key":"231F","mappings":{"default":{"default":"ángulo inferior derecho"}},"category":"So"},{"key":"2320","mappings":{"default":{"default":"mitad superior de integral"}},"category":"Sm"},{"key":"2321","mappings":{"default":{"default":"mitad inferior de integral"}},"category":"Sm"},{"key":"2329","mappings":{"default":{"default":"paréntesis angular izquierdo"}},"category":"Ps"},{"key":"232A","mappings":{"default":{"default":"paréntesis angular derecho"}},"category":"Pe"},{"category":"Sm","key":"239B","mappings":{"default":{"default":"paréntesis izquierdo gancho superior"}}},{"category":"Sm","key":"239C","mappings":{"default":{"default":"extensión del paréntesis izquierdo"}}},{"category":"Sm","key":"239D","mappings":{"default":{"default":"paréntesis inferior gancho inferior"}}},{"category":"Sm","key":"239E","mappings":{"default":{"default":"paréntesis derecho gancho superior"}}},{"category":"Sm","key":"239F","mappings":{"default":{"default":"extensión del paréntesis derecho"}}},{"category":"Sm","key":"23A0","mappings":{"default":{"default":"paréntesis inferior gancho inferior"}}},{"category":"Sm","key":"23A1","mappings":{"default":{"default":"esquina cuadrada izquierda esquina superior"}}},{"category":"Sm","key":"23A2","mappings":{"default":{"default":"extensión del soporte cuadrado izquierdo"}}},{"category":"Sm","key":"23A3","mappings":{"default":{"default":"esquina cuadrada izquierda esquina inferior"}}},{"category":"Sm","key":"23A4","mappings":{"default":{"default":"esquina cuadrada derecha esquina superior"}}},{"category":"Sm","key":"23A5","mappings":{"default":{"default":"extensión de soporte cuadrado derecho"}}},{"category":"Sm","key":"23A6","mappings":{"default":{"default":"esquina cuadrada derecha esquina inferior"}}},{"category":"Sm","key":"23A7","mappings":{"default":{"default":"gancho superior rizado izquierdo"}}},{"category":"Sm","key":"23A8","mappings":{"default":{"default":"pedazo medio rizado izquierdo"}}},{"category":"Sm","key":"23A9","mappings":{"default":{"default":"soporte izquierdo rizado gancho inferior"}}},{"category":"Sm","key":"23AA","mappings":{"default":{"default":"extensión de soporte rizado"}}},{"category":"Sm","key":"23AB","mappings":{"default":{"default":"gancho superior rizado derecho"}}},{"category":"Sm","key":"23AC","mappings":{"default":{"default":"pedazo medio de soporte rizado derecho"}}},{"category":"Sm","key":"23AD","mappings":{"default":{"default":"abrazadera inferior derecha rizado"}}},{"category":"Sm","key":"23AE","mappings":{"default":{"default":"extensión integral"}}},{"category":"Sm","key":"23AF","mappings":{"default":{"default":"extensión de línea horizontal"}}},{"key":"23B0","mappings":{"default":{"default":"izquierda arriba o derecho debajo sección llave"}},"category":"Sm"},{"key":"23B1","mappings":{"default":{"default":"derecha arriba o izquierdo debajo sección llave"}},"category":"Sm"},{"category":"Sm","key":"23B2","mappings":{"default":{"default":"suma superior"}}},{"category":"Sm","key":"23B3","mappings":{"default":{"default":"parte inferior de la suma"}}},{"key":"23B4","mappings":{"default":{"default":"corchete superior"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"corchete inferior"}},"category":"So"},{"category":"So","key":"23B6","mappings":{"default":{"default":"soporte cuadrado inferior sobre soporte cuadrado superior"}}},{"category":"So","key":"23B7","mappings":{"default":{"default":"parte inferior del símbolo radical"}}},{"category":"So","key":"23B8","mappings":{"default":{"default":"línea de caja vertical izquierda"}}},{"category":"So","key":"23B9","mappings":{"default":{"default":"línea de caja vertical derecha"}}},{"key":"23DC","mappings":{"default":{"default":"paréntesis superior"}},"category":"Sm"},{"key":"23DD","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Sm"},{"key":"23DE","mappings":{"default":{"default":"corchete rizado superior"}},"category":"Sm"},{"key":"23DF","mappings":{"default":{"default":"corchete rizado inferior"}},"category":"Sm"},{"key":"23E0","mappings":{"default":{"default":"corchete superior en tortuga"}},"category":"Sm"},{"key":"23E1","mappings":{"default":{"default":"corchete inferior en tortuga"}},"category":"Sm"},{"category":"Ps","key":"2768","mappings":{"default":{"default":"ornamento de paréntesis izquierdo medio"}}},{"category":"Pe","key":"2769","mappings":{"default":{"default":"adorno de paréntesis medio derecho"}}},{"category":"Ps","key":"276A","mappings":{"default":{"default":"adorno paréntesis izquierdo aplanado medio"}}},{"category":"Pe","key":"276B","mappings":{"default":{"default":"adorno paréntesis derecho medio aplanado"}}},{"category":"Ps","key":"276C","mappings":{"default":{"default":"adorno de soporte de ángulo medio apuntando hacia la izquierda"}}},{"category":"Pe","key":"276D","mappings":{"default":{"default":"adorno de soporte de ángulo medio apuntando hacia la derecha"}}},{"category":"Ps","key":"276E","mappings":{"default":{"default":"ornamento de comillas en el ángulo que apunta hacia la izquierda"}}},{"category":"Pe","key":"276F","mappings":{"default":{"default":"ornamento de comillas en ángulo recto que apunta hacia la derecha"}}},{"category":"Ps","key":"2770","mappings":{"default":{"default":"ornamento pesado del soporte del ángulo que señala a la izquierda"}}},{"category":"Pe","key":"2771","mappings":{"default":{"default":"ornamento pesado del soporte del ángulo que señala hacia la derecha"}}},{"category":"Ps","key":"2772","mappings":{"default":{"default":"ornamento de soporte de concha de tortuga izquierda ligera"}}},{"category":"Pe","key":"2773","mappings":{"default":{"default":"ornamento de corchete derecho tortuga derecha"}}},{"category":"Ps","key":"2774","mappings":{"default":{"default":"ornamento de soporte rizado izquierdo medio"}}},{"category":"Pe","key":"2775","mappings":{"default":{"default":"ornamento de soporte rizado derecho medio"}}},{"key":"27C5","mappings":{"default":{"default":"símbolo delimitador izquierdo de bolsa de s-formó"}},"category":"Ps"},{"key":"27C6","mappings":{"default":{"default":"símbolo delimitador derecho de bolsa de s-formó"}},"category":"Pe"},{"key":"27E6","mappings":{"default":{"default":"corchete vacío izquierdo"}},"category":"Ps"},{"key":"27E7","mappings":{"default":{"default":"corchete vacío derecho"}},"category":"Pe"},{"key":"27E8","mappings":{"default":{"default":"corchete agudo izquierdo"}},"category":"Ps"},{"key":"27E9","mappings":{"default":{"default":"corchete agudo derecho"}},"category":"Pe"},{"key":"27EA","mappings":{"default":{"default":"doble corchete agudo izquierdo"}},"category":"Ps"},{"key":"27EB","mappings":{"default":{"default":"doble corchete agudo derecho"}},"category":"Pe"},{"key":"27EC","mappings":{"default":{"default":"corchete de tortuga vacío izquierdo"}},"category":"Ps"},{"key":"27ED","mappings":{"default":{"default":"corchete de tortuga vacío derecho "}},"category":"Pe"},{"key":"27EE","mappings":{"default":{"default":"paréntesis plano izquierdo"}},"category":"Ps"},{"key":"27EF","mappings":{"default":{"default":"paréntesis plano derecho"}},"category":"Pe"},{"category":"Ps","key":"2983","mappings":{"default":{"default":"soporte rizado blanco izquierdo"}}},{"category":"Pe","key":"2984","mappings":{"default":{"default":"derecha rizado blanco soporte"}}},{"key":"2985","mappings":{"default":{"default":"left white paren"}},"category":"Ps"},{"key":"2986","mappings":{"default":{"default":"right white paren"}},"category":"Pe"},{"category":"Ps","key":"2987","mappings":{"default":{"default":"notación Z izquierda soporte de imagen"}}},{"category":"Pe","key":"2988","mappings":{"default":{"default":"corchete de imagen derecha de notación Z"}}},{"key":"2989","mappings":{"default":{"default":"z notation left binding bracket"}},"category":"Ps"},{"key":"298A","mappings":{"default":{"default":"z notation right binding bracket"}},"category":"Pe"},{"key":"298B","mappings":{"default":{"default":"left bracket with underbar"}},"category":"Ps"},{"key":"298C","mappings":{"default":{"default":"right bracket with underbar"}},"category":"Pe"},{"key":"298D","mappings":{"default":{"default":"left bracket with tick in top corner"}},"category":"Ps"},{"key":"298E","mappings":{"default":{"default":"right bracket with tick in bottom corner"}},"category":"Pe"},{"key":"298F","mappings":{"default":{"default":"left bracket with tick in bottom corner"}},"category":"Ps"},{"key":"2990","mappings":{"default":{"default":"right bracket with tick in top corner"}},"category":"Pe"},{"key":"2991","mappings":{"default":{"default":"left angle bracket with dot"}},"category":"Ps"},{"key":"2992","mappings":{"default":{"default":"right angle bracket with dot"}},"category":"Pe"},{"key":"2993","mappings":{"default":{"default":"left arc less than bracket"}},"category":"Ps"},{"key":"2994","mappings":{"default":{"default":"right arc greater than bracket"}},"category":"Pe"},{"key":"2995","mappings":{"default":{"default":"double left arc greater than bracket"}},"category":"Ps"},{"key":"2996","mappings":{"default":{"default":"double right arc less than bracket"}},"category":"Pe"},{"category":"Ps","key":"2997","mappings":{"default":{"default":"soporte de concha de tortuga negra izquierda"}}},{"category":"Pe","key":"2998","mappings":{"default":{"default":"abrazadera de concha de tortuga negra derecha"}}},{"category":"Ps","key":"29D8","mappings":{"default":{"default":"valla izquierda ondulada"}}},{"category":"Pe","key":"29D9","mappings":{"default":{"default":"valla derecha ondulada"}}},{"key":"29DA","mappings":{"default":{"default":"left double wiggly fence"}},"category":"Ps"},{"key":"29DB","mappings":{"default":{"default":"right double wiggly fence"}},"category":"Pe"},{"category":"Ps","key":"29FC","mappings":{"default":{"default":"abrazadera de ángulo curvo a la izquierda"}}},{"category":"Pe","key":"29FD","mappings":{"default":{"default":"abrazadera de ángulo curvo orientada hacia la derecha"}}},{"category":"Ps","key":"2E22","mappings":{"default":{"default":"soporte superior izquierdo superior"}}},{"category":"Pe","key":"2E23","mappings":{"default":{"default":"medio soporte superior derecho"}}},{"category":"Ps","key":"2E24","mappings":{"default":{"default":"abrazadera inferior izquierda"}}},{"category":"Pe","key":"2E25","mappings":{"default":{"default":"medio soporte inferior derecho"}}},{"category":"Ps","key":"2E26","mappings":{"default":{"default":"soporte U lateral izquierdo"}}},{"category":"Pe","key":"2E27","mappings":{"default":{"default":"lado derecho U soporte"}}},{"category":"Ps","key":"2E28","mappings":{"default":{"default":"doble paréntesis izquierdo"}}},{"category":"Pe","key":"2E29","mappings":{"default":{"default":"paréntesis doble derecho"}}},{"category":"Ps","key":"3008","mappings":{"default":{"default":"soporte de ángulo izquierdo"}}},{"category":"Pe","key":"3009","mappings":{"default":{"default":"soporte de ángulo recto"}}},{"key":"300A","mappings":{"default":{"default":"paréntesis angular doble"}},"category":"Ps"},{"key":"300B","mappings":{"default":{"default":"paréntesis angular doble derecho","defaultMP":"cierra paréntesis angular doble"}},"category":"Pe"},{"category":"Ps","key":"300C","mappings":{"default":{"default":"soporte de la esquina izquierda"}}},{"category":"Pe","key":"300D","mappings":{"default":{"default":"soporte de esquina derecha"}}},{"category":"Ps","key":"300E","mappings":{"default":{"default":"soporte de esquina blanco izquierdo"}}},{"category":"Pe","key":"300F","mappings":{"default":{"default":"soporte de esquina blanco derecho"}}},{"category":"Ps","key":"3010","mappings":{"default":{"default":"soporte Lenticular Izquierdo Negro"}}},{"category":"Pe","key":"3011","mappings":{"default":{"default":"soporte Lenticular Negro Derecho"}}},{"key":"3014","mappings":{"default":{"default":"left tortoise shell bracket"}},"category":"Ps"},{"key":"3015","mappings":{"default":{"default":"right tortoise shell bracket"}},"category":"Pe"},{"category":"Ps","key":"3016","mappings":{"default":{"default":"soporte lenticular blanco izquierdo"}}},{"category":"Pe","key":"3017","mappings":{"default":{"default":"soporte lenticular blanco derecho"}}},{"category":"Ps","key":"3018","mappings":{"default":{"default":"soporte de caparazón de tortuga blanca izquierda"}}},{"category":"Pe","key":"3019","mappings":{"default":{"default":"soporte de concha de tortuga blanca derecha"}}},{"key":"301A","mappings":{"default":{"default":"corchete vacío"}},"category":"Ps"},{"key":"301B","mappings":{"default":{"default":"corchete vacío derecho","defaultMP":"cierra corchete vacío"}},"category":"Pe"},{"category":"Ps","key":"301D","mappings":{"default":{"default":"comilla doble invertida"}}},{"key":"301E","mappings":{"default":{"default":"segunda"}},"category":"Pe"},{"category":"Pe","key":"301F","mappings":{"default":{"default":"comillas bajas dobles"}}},{"category":"Ps","key":"FD3E","mappings":{"default":{"default":"paréntesis izquierdo adornado"}}},{"category":"Pe","key":"FD3F","mappings":{"default":{"default":"paréntesis derecho adornado"}}},{"category":"Ps","key":"FE17","mappings":{"default":{"default":"formulario de presentación para soporte lenticular blanco izquierdo vertical"}}},{"category":"Pe","key":"FE18","mappings":{"default":{"default":"formulario de presentación para soporte lenticular blanco vertical derecho"}}},{"key":"FE35","mappings":{"default":{"default":"paréntesis superior"}},"category":"Ps"},{"key":"FE36","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Pe"},{"key":"FE37","mappings":{"default":{"default":"llave superior"}},"category":"Ps"},{"key":"FE38","mappings":{"default":{"default":"llave inferior"}},"category":"Pe"},{"category":"Ps","key":"FE39","mappings":{"default":{"default":"formulario de presentación para el soporte vertical de concha de tortuga izquierda"}}},{"category":"Pe","key":"FE3A","mappings":{"default":{"default":"formulario de presentación para el soporte vertical de concha de tortuga derecha"}}},{"category":"Ps","key":"FE3B","mappings":{"default":{"default":"formulario de presentación para el soporte lenticular negro izquierdo vertical"}}},{"category":"Pe","key":"FE3C","mappings":{"default":{"default":"formulario de presentación para el soporte lenticular negro derecho vertical"}}},{"category":"Ps","key":"FE3D","mappings":{"default":{"default":"formulario de presentación para soporte vertical doble ángulo izquierdo"}}},{"category":"Pe","key":"FE3E","mappings":{"default":{"default":"formulario de presentación para el soporte de ángulo recto doble vertical"}}},{"key":"FE3F","mappings":{"default":{"default":"paréntesis angular superior"}},"category":"Ps"},{"key":"FE40","mappings":{"default":{"default":"paréntesis angular inferior"}},"category":"Pe"},{"category":"Ps","key":"FE41","mappings":{"default":{"default":"formulario de presentación para soporte de esquina vertical izquierda"}}},{"category":"Pe","key":"FE42","mappings":{"default":{"default":"formulario de presentación para soporte de esquina vertical derecha"}}},{"category":"Ps","key":"FE43","mappings":{"default":{"default":"formulario de presentación para soporte de esquina blanco vertical izquierdo"}}},{"category":"Pe","key":"FE44","mappings":{"default":{"default":"formulario de presentación para soporte de esquina vertical derecha blanca"}}},{"category":"Ps","key":"FE47","mappings":{"default":{"default":"formulario de presentación para soporte cuadrado vertical izquierdo"}}},{"category":"Pe","key":"FE48","mappings":{"default":{"default":"formulario de presentación para soporte cuadrado vertical derecho"}}},{"category":"Ps","key":"FE59","mappings":{"default":{"default":"pequeño paréntesis izquierdo"}}},{"category":"Pe","key":"FE5A","mappings":{"default":{"default":"paréntesis derecho pequeño"}}},{"category":"Ps","key":"FE5B","mappings":{"default":{"default":"corchete Rizado Izquierdo Pequeño"}}},{"category":"Pe","key":"FE5C","mappings":{"default":{"default":"corchete derecho rizado pequeño"}}},{"category":"Ps","key":"FE5D","mappings":{"default":{"default":"soporte de concha pequeña tortuga izquierda"}}},{"category":"Pe","key":"FE5E","mappings":{"default":{"default":"pequeño corchete derecho de concha de tortuga"}}},{"category":"Ps","key":"FF08","mappings":{"default":{"default":"paréntesis izquierdo de ancho completo"}}},{"category":"Pe","key":"FF09","mappings":{"default":{"default":"paréntesis derecho de ancho completo"}}},{"category":"Ps","key":"FF3B","mappings":{"default":{"default":"soporte cuadrado izquierdo de ancho completo"}}},{"category":"Pe","key":"FF3D","mappings":{"default":{"default":"soporte cuadrado derecho de ancho completo"}}},{"category":"Ps","key":"FF5B","mappings":{"default":{"default":"corchete rizado izquierdo de ancho completo"}}},{"category":"Pe","key":"FF5D","mappings":{"default":{"default":"corchete derecho de ancho completo"}}},{"category":"Ps","key":"FF5F","mappings":{"default":{"default":"paréntesis blanco izquierdo de ancho completo"}}},{"category":"Pe","key":"FF60","mappings":{"default":{"default":"paréntesis blanco derecho de ancho completo"}}},{"category":"Ps","key":"FF62","mappings":{"default":{"default":"corchete de esquina izquierda de medio ancho"}}},{"category":"Pe","key":"FF63","mappings":{"default":{"default":"soporte de esquina derecha de medio ancho"}}}]
+,
+"es/symbols/math_geometry.js": 
+[{"locale":"es"},{"key":"2500","mappings":{"default":{"default":"delimitador horizontal"}},"category":"So"},{"category":"So","key":"2501","mappings":{"default":{"default":"dibujos de cajas pesadas horizontales"}}},{"key":"2502","mappings":{"default":{"default":"delimitador vertical"}},"category":"So"},{"category":"So","key":"2503","mappings":{"default":{"default":"dibujos de cajas Pesado Vertical"}}},{"category":"So","key":"2504","mappings":{"default":{"default":"dibujos de cajas Light Triple Dash Horizontal"}}},{"category":"So","key":"2505","mappings":{"default":{"default":"dibujos de cajas Heavy Triple Dash Horizontal"}}},{"category":"So","key":"2506","mappings":{"default":{"default":"dibujos de cajas Light Triple Dash Vertical"}}},{"category":"So","key":"2507","mappings":{"default":{"default":"dibujos de cajas Heavy Triple Dash Vertical"}}},{"category":"So","key":"2508","mappings":{"default":{"default":"caja Dibujos Ligero Cuadruple Dash Horizontal"}}},{"category":"So","key":"2509","mappings":{"default":{"default":"dibujos de cajas Heavy Quadruple Dash Horizontal"}}},{"category":"So","key":"250A","mappings":{"default":{"default":"caja Dibujos Luz Cuadruple Tablero Vertical"}}},{"category":"So","key":"250B","mappings":{"default":{"default":"dibujos de cajas Heavy Quadruple Dash Vertical"}}},{"key":"250C","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"So"},{"category":"So","key":"250D","mappings":{"default":{"default":"dibujos de cajas Abajo Ligero y Derecho Pesado"}}},{"category":"So","key":"250E","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y rectos ligeros"}}},{"category":"So","key":"250F","mappings":{"default":{"default":"dibujos de cajas pesados ​​abajo y derecha"}}},{"key":"2510","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"So"},{"category":"So","key":"2511","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y pesados ​​a la izquierda"}}},{"category":"So","key":"2512","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y luz izquierda"}}},{"category":"So","key":"2513","mappings":{"default":{"default":"dibujos de cajas pesados ​​hacia abajo y hacia la izquierda"}}},{"key":"2514","mappings":{"default":{"default":"esquina superior derecha"}},"category":"So"},{"category":"So","key":"2515","mappings":{"default":{"default":"dibujos de cajas hasta ligero y derecho pesado"}}},{"category":"So","key":"2516","mappings":{"default":{"default":"dibujos de cajas hasta Pesadas y Ligeras"}}},{"category":"So","key":"2517","mappings":{"default":{"default":"dibujos de cajas pesados ​​y derechos"}}},{"key":"2518","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"So"},{"category":"So","key":"2519","mappings":{"default":{"default":"dibujos de cajas hasta livianos y pesados ​​a la izquierda"}}},{"category":"So","key":"251A","mappings":{"default":{"default":"dibujos de cajas hasta pesado y luz izquierda"}}},{"category":"So","key":"251B","mappings":{"default":{"default":"dibujos de cajas pesados ​​hacia arriba y hacia la izquierda"}}},{"key":"251C","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal"}},"category":"So"},{"category":"So","key":"251D","mappings":{"default":{"default":"cuadros de caja Vertical ligero y derecho pesado"}}},{"category":"So","key":"251E","mappings":{"default":{"default":"dibujos de cajas hasta pesados ​​y rectos hacia abajo"}}},{"category":"So","key":"251F","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y rectos arriba ligeros"}}},{"category":"So","key":"2520","mappings":{"default":{"default":"dibujos de cajas verticales pesadas y rectas ligeras"}}},{"category":"So","key":"2521","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y rectos arriba pesados"}}},{"category":"So","key":"2522","mappings":{"default":{"default":"dibujos de cajas para arriba livianos y rectos para abajo pesados"}}},{"category":"So","key":"2523","mappings":{"default":{"default":"dibujos de cajas pesadas verticales y derechas"}}},{"key":"2524","mappings":{"default":{"default":"delimitador derecho y separador horizontal"}},"category":"So"},{"category":"So","key":"2525","mappings":{"default":{"default":"cuadros de caja Vertical ligero y izquierdo pesado"}}},{"category":"So","key":"2526","mappings":{"default":{"default":"dibujos de cajas para arriba Pesado y Izquierda Abajo Luz"}}},{"category":"So","key":"2527","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y luz izquierda arriba"}}},{"category":"So","key":"2528","mappings":{"default":{"default":"dibujos de cajas verticales pesadas y luz izquierda"}}},{"category":"So","key":"2529","mappings":{"default":{"default":"dibujos de cajas abajo ligeros e izquierdos arriba pesados"}}},{"category":"So","key":"252A","mappings":{"default":{"default":"dibujos de cajas para arriba Ligero y Izquierda Abajo Pesado"}}},{"category":"So","key":"252B","mappings":{"default":{"default":"dibujos de cajas pesadas verticales e izquierdas"}}},{"key":"252C","mappings":{"default":{"default":"delimitador superior y separador vertical"}},"category":"So"},{"category":"So","key":"252D","mappings":{"default":{"default":"dibujos de cajas izquierda pesados ​​y derecha abajo luz"}}},{"category":"So","key":"252E","mappings":{"default":{"default":"dibujos de cajas, derecha, pesada y izquierda abajo, luz"}}},{"category":"So","key":"252F","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y horizontales pesados"}}},{"category":"So","key":"2530","mappings":{"default":{"default":"dibujos de cajas de luz pesada y horizontal"}}},{"category":"So","key":"2531","mappings":{"default":{"default":"dibujos de la caja de luz derecha y izquierda abajo pesado"}}},{"category":"So","key":"2532","mappings":{"default":{"default":"cuadros de caja izquierda ligera y derecha abajo pesada"}}},{"category":"So","key":"2533","mappings":{"default":{"default":"dibujos de cajas pesados ​​y horizontales"}}},{"key":"2534","mappings":{"default":{"default":"delimitador inferior y separador vertical"}},"category":"So"},{"category":"So","key":"2535","mappings":{"default":{"default":"dibujos de cajas izquierda pesada y derecha arriba ligera"}}},{"category":"So","key":"2536","mappings":{"default":{"default":"dibujos de caja derecha pesada y luz izquierda arriba"}}},{"category":"So","key":"2537","mappings":{"default":{"default":"dibujos de cajas hasta ligero y horizontal pesado"}}},{"category":"So","key":"2538","mappings":{"default":{"default":"dibujos de cajas hasta luz pesada y horizontal"}}},{"category":"So","key":"2539","mappings":{"default":{"default":"dibujos de cajas a la derecha, livianos y a la izquierda, pesados"}}},{"category":"So","key":"253A","mappings":{"default":{"default":"dibujos de cajas Izquierda Ligera y Derecha Arriba Pesada"}}},{"category":"So","key":"253B","mappings":{"default":{"default":"dibujos de cajas pesados ​​y horizontales"}}},{"key":"253C","mappings":{"default":{"default":"cruce de separadores sencillos"}},"category":"So"},{"category":"So","key":"253D","mappings":{"default":{"default":"dibujos de cajas Izquierda Pesada y Derecha Vertical Luz"}}},{"category":"So","key":"253E","mappings":{"default":{"default":"dibujos de caja derecha pesada y luz vertical izquierda"}}},{"category":"So","key":"253F","mappings":{"default":{"default":"dibujos de cajas Vertical Ligera y Horizontal Pesada"}}},{"category":"So","key":"2540","mappings":{"default":{"default":"dibujos de cajas para arriba pesados ​​y abajo luz horizontal"}}},{"category":"So","key":"2541","mappings":{"default":{"default":"dibujos de cajas hacia abajo pesados ​​y hacia arriba luz horizontal"}}},{"category":"So","key":"2542","mappings":{"default":{"default":"dibujos de cajas verticales pesadas y horizontales ligeras"}}},{"category":"So","key":"2543","mappings":{"default":{"default":"dibujos de cajas Izquierda Arriba Pesada y Derecha abajo Luz"}}},{"category":"So","key":"2544","mappings":{"default":{"default":"dibujos de caja derecha arriba pesada y izquierda abajo luz"}}},{"category":"So","key":"2545","mappings":{"default":{"default":"dibujos de cajas, izquierda abajo, pesada y derecha arriba, ligera"}}},{"category":"So","key":"2546","mappings":{"default":{"default":"dibujos de la caja derecha abajo pesada y izquierda arriba ligera"}}},{"category":"So","key":"2547","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y ascendentes horizontales pesados"}}},{"category":"So","key":"2548","mappings":{"default":{"default":"dibujos de cajas para arriba Ligero y para abajo horizontal pesado"}}},{"category":"So","key":"2549","mappings":{"default":{"default":"dibujos de cajas a la derecha, ligeros y a la izquierda, verticales, pesados"}}},{"category":"So","key":"254A","mappings":{"default":{"default":"dibujos de cajas Izquierda Ligera y Derecha Vertical Pesada"}}},{"category":"So","key":"254B","mappings":{"default":{"default":"dibujos de cajas pesadas verticales y horizontales"}}},{"category":"So","key":"254C","mappings":{"default":{"default":"dibujos de cajas Light Double Dash Horizontal"}}},{"category":"So","key":"254D","mappings":{"default":{"default":"dibujos de cajas Heavy Double Dash Horizontal"}}},{"category":"So","key":"254E","mappings":{"default":{"default":"dibujos de cajas Light Double Dash Vertical"}}},{"category":"So","key":"254F","mappings":{"default":{"default":"dibujos de cajas Heavy Double Dash Vertical"}}},{"key":"2550","mappings":{"default":{"default":"delimitador horizontal doble"}},"category":"So"},{"key":"2551","mappings":{"default":{"default":"delimitador vertical doble"}},"category":"So"},{"key":"2552","mappings":{"default":{"default":"esquina inferior derecha, vertical doble"}},"category":"So"},{"key":"2553","mappings":{"default":{"default":"esquina inferior derecha, horizontal doble"}},"category":"So"},{"key":"2554","mappings":{"default":{"default":"esquina inferior derecha doble"}},"category":"So"},{"key":"2555","mappings":{"default":{"default":"esquina inferior izquierda, vertical doble"}},"category":"So"},{"key":"2556","mappings":{"default":{"default":"esquina inferior izquierda, horizontal doble"}},"category":"So"},{"key":"2557","mappings":{"default":{"default":"esquina inferior izquierda doble"}},"category":"So"},{"key":"2558","mappings":{"default":{"default":"esquina superior derecha, vertical doble"}},"category":"So"},{"key":"2559","mappings":{"default":{"default":"esquina superior derecha, horizontal doble"}},"category":"So"},{"key":"255A","mappings":{"default":{"default":"esquina superior derecha doble"}},"category":"So"},{"key":"255B","mappings":{"default":{"default":"esquina superior izquierda, vertical doble"}},"category":"So"},{"key":"255C","mappings":{"default":{"default":"esquina superior izquierda, horizontal doble"}},"category":"So"},{"key":"255D","mappings":{"default":{"default":"esquina superior izquierda doble"}},"category":"So"},{"key":"255E","mappings":{"default":{"default":"delimitador izquierdo con separador doble"}},"category":"So"},{"key":"255F","mappings":{"default":{"default":"delimitador izquierdo doble con separador horizontal"}},"category":"So"},{"key":"2560","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal dobles"}},"category":"So"},{"key":"2561","mappings":{"default":{"default":"delimitador derecho con separador doble"}},"category":"So"},{"key":"2562","mappings":{"default":{"default":"delimitador derecho doble con separador horizontal"}},"category":"So"},{"key":"2563","mappings":{"default":{"default":"delimitador derecho y separador horizontal dobles"}},"category":"So"},{"key":"2564","mappings":{"default":{"default":"delimitador superior doble con separador vertical"}},"category":"So"},{"key":"2565","mappings":{"default":{"default":"delimitador superior con separador vertical doble"}},"category":"So"},{"key":"2566","mappings":{"default":{"default":"delimitador superior y separador vertical dobles"}},"category":"So"},{"key":"2567","mappings":{"default":{"default":"delimitador inferior doble con separador vertical"}},"category":"So"},{"key":"2568","mappings":{"default":{"default":"delimitador inferior con separador vertical doble"}},"category":"So"},{"key":"2569","mappings":{"default":{"default":"delimitador inferior y separador vertical dobles"}},"category":"So"},{"key":"256A","mappings":{"default":{"default":"cruce de separadores, vertical sencillo y horizontal doble"}},"category":"So"},{"key":"256B","mappings":{"default":{"default":"cruce de separadores, vertical doble y horizontal sencillo"}},"category":"So"},{"key":"256C","mappings":{"default":{"default":"cruce de separadores dobles"}},"category":"So"},{"category":"So","key":"256D","mappings":{"default":{"default":"dibujos de cajas de luz arco abajo y derecha"}}},{"category":"So","key":"256E","mappings":{"default":{"default":"dibujos de cajas de luz arco hacia abajo y hacia la izquierda"}}},{"category":"So","key":"256F","mappings":{"default":{"default":"dibujos de cajas de luz arco arriba y a la izquierda"}}},{"category":"So","key":"2570","mappings":{"default":{"default":"caja de dibujos de luz arco arriba y derecha"}}},{"category":"So","key":"2571","mappings":{"default":{"default":"dibujos de cajas Luz Diagonal Superior derecha a inferior izquierda"}}},{"category":"So","key":"2572","mappings":{"default":{"default":"dibujos de cajas Luz Diagonal Superior izquierda a inferior derecha"}}},{"category":"So","key":"2573","mappings":{"default":{"default":"dibujos de cajas de luz diagonal cruz"}}},{"category":"So","key":"2574","mappings":{"default":{"default":"dibujos de cajas luz izquierda"}}},{"category":"So","key":"2575","mappings":{"default":{"default":"dibujos de cajas se iluminan"}}},{"category":"So","key":"2576","mappings":{"default":{"default":"dibujos de cajas a la derecha"}}},{"category":"So","key":"2577","mappings":{"default":{"default":"dibujos de cajas de luz hacia abajo"}}},{"category":"So","key":"2578","mappings":{"default":{"default":"dibujos de cajas pesados ​​a la izquierda"}}},{"category":"So","key":"2579","mappings":{"default":{"default":"dibujos de cajas pesados"}}},{"category":"So","key":"257A","mappings":{"default":{"default":"caja de dibujos pesado derecho"}}},{"category":"So","key":"257B","mappings":{"default":{"default":"dibujos de cajas pesados"}}},{"category":"So","key":"257C","mappings":{"default":{"default":"dibujos de cajas Ligero Izquierda y Pesada Derecha"}}},{"category":"So","key":"257D","mappings":{"default":{"default":"dibujos de cajas iluminados y pesados"}}},{"category":"So","key":"257E","mappings":{"default":{"default":"dibujos de cajas Pesado Izquierda y Luz Derecha"}}},{"category":"So","key":"257F","mappings":{"default":{"default":"dibujos de cajas pesados ​​y ligeros"}}},{"key":"2580","mappings":{"default":{"default":"bloque mitad superior"}},"category":"So"},{"category":"So","key":"2581","mappings":{"default":{"default":"bajar un octavo bloque"}}},{"category":"So","key":"2582","mappings":{"default":{"default":"bloque de un cuarto inferior"}}},{"category":"So","key":"2583","mappings":{"default":{"default":"bloque de tres octavos más bajo"}}},{"key":"2584","mappings":{"default":{"default":"bloque mitad inferior"}},"category":"So"},{"category":"So","key":"2585","mappings":{"default":{"default":"bloque inferior de cinco octavos"}}},{"category":"So","key":"2586","mappings":{"default":{"default":"bloque de tres cuartos más bajo"}}},{"category":"So","key":"2587","mappings":{"default":{"default":"lower Seven Eighths Block"}}},{"key":"2588","mappings":{"default":{"default":"bloque"}},"category":"So"},{"category":"So","key":"2589","mappings":{"default":{"default":"bloque de siete octavos a la izquierda"}}},{"category":"So","key":"258A","mappings":{"default":{"default":"bloque de tres cuartos a la izquierda"}}},{"category":"So","key":"258B","mappings":{"default":{"default":"bloque de cinco octavos a la izquierda"}}},{"category":"So","key":"258C","mappings":{"default":{"default":"media cuadra izquierda"}}},{"category":"So","key":"258D","mappings":{"default":{"default":"bloque de tres octavos a la izquierda"}}},{"category":"So","key":"258E","mappings":{"default":{"default":"bloque de un cuarto a la izquierda"}}},{"category":"So","key":"258F","mappings":{"default":{"default":"izquierda un octavo bloque"}}},{"category":"So","key":"2590","mappings":{"default":{"default":"media cuadra derecha"}}},{"key":"2591","mappings":{"default":{"default":"sombra ligera"}},"category":"So"},{"key":"2592","mappings":{"default":{"default":"sombra media"}},"category":"So"},{"key":"2593","mappings":{"default":{"default":"sombra intensa"}},"category":"So"},{"category":"So","key":"2594","mappings":{"default":{"default":"upper One Eighth Block"}}},{"category":"So","key":"2595","mappings":{"default":{"default":"a la derecha un octavo bloque"}}},{"category":"So","key":"2596","mappings":{"default":{"default":"cuadrante inferior izquierdo"}}},{"category":"So","key":"2597","mappings":{"default":{"default":"cuadrante inferior derecho"}}},{"category":"So","key":"2598","mappings":{"default":{"default":"cuadrante superior izquierdo"}}},{"category":"So","key":"2599","mappings":{"default":{"default":"cuadrante superior izquierdo e inferior izquierdo e inferior derecho"}}},{"category":"So","key":"259A","mappings":{"default":{"default":"cuadrante superior izquierdo e inferior derecho"}}},{"category":"So","key":"259B","mappings":{"default":{"default":"cuadrante superior izquierdo y superior derecho e inferior izquierdo"}}},{"category":"So","key":"259C","mappings":{"default":{"default":"cuadrante superior izquierdo y superior derecho e inferior derecho"}}},{"category":"So","key":"259D","mappings":{"default":{"default":"cuadrante superior derecho"}}},{"category":"So","key":"259E","mappings":{"default":{"default":"cuadrante superior derecho e inferior izquierdo"}}},{"category":"So","key":"259F","mappings":{"default":{"default":"cuadrante superior derecho e inferior izquierdo e inferior derecho"}}},{"key":"25A0","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25A1","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"category":"So","key":"25A2","mappings":{"default":{"default":"cuadrado blanco con esquinas redondeadas"}}},{"category":"So","key":"25A3","mappings":{"default":{"default":"cuadrado blanco que contiene cuadrado pequeño negro"}}},{"category":"So","key":"25A4","mappings":{"default":{"default":"cuadrado con relleno horizontal"}}},{"category":"So","key":"25A5","mappings":{"default":{"default":"cuadrado con relleno vertical"}}},{"category":"So","key":"25A6","mappings":{"default":{"default":"cuadrado con relleno de rayado ortogonal"}}},{"category":"So","key":"25A7","mappings":{"default":{"default":"cuadrado con la esquina superior izquierda a la derecha inferior"}}},{"category":"So","key":"25A8","mappings":{"default":{"default":"cuadrado con la parte superior derecha hacia abajo izquierda Relleno"}}},{"category":"So","key":"25A9","mappings":{"default":{"default":"cuadrado con relleno de rayado diagonal"}}},{"key":"25AA","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25AB","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"category":"So","key":"25AC","mappings":{"default":{"default":"rectángulo negro"}}},{"key":"25AD","mappings":{"default":{"default":"rectángulo"}},"category":"So"},{"key":"25AE","mappings":{"default":{"default":"rectángulo relleno vertical"}},"category":"So"},{"key":"25AF","mappings":{"default":{"default":"rectángulo vertical"}},"category":"So"},{"category":"So","key":"25B0","mappings":{"default":{"default":"paralelogramo negro"}}},{"key":"25B1","mappings":{"default":{"default":"paralelogramo"}},"category":"So"},{"key":"25B2","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B3","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B4","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B5","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B6","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B7","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"Sm"},{"key":"25B8","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B9","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"So"},{"category":"So","key":"25BA","mappings":{"default":{"default":"indicador de apuntar hacia la derecha negro"}}},{"category":"So","key":"25BB","mappings":{"default":{"default":"puntero de apuntar hacia la derecha blanco"}}},{"key":"25BC","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BD","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25BE","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BF","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25C0","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C1","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"Sm"},{"key":"25C2","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C3","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"So"},{"key":"25C4","mappings":{"default":{"default":"puntero relleno señala izquierda"}},"category":"So"},{"key":"25C5","mappings":{"default":{"default":"puntero señala izquierda"}},"category":"So"},{"key":"25C6","mappings":{"default":{"default":"diamante relleno"}},"category":"So"},{"key":"25C7","mappings":{"default":{"default":"diamante"}},"category":"So"},{"key":"25C8","mappings":{"default":{"default":"diamante vacío contiene diamante relleno"}},"category":"So"},{"key":"25C9","mappings":{"default":{"default":"ojo de pez"}},"category":"So"},{"key":"25CA","mappings":{"default":{"default":"rombo"}},"category":"So"},{"key":"25CB","mappings":{"default":{"default":"círculo vacío"}},"category":"So"},{"key":"25CC","mappings":{"default":{"default":"círculo punteado"}},"category":"So"},{"key":"25CD","mappings":{"default":{"default":"círculo con relleno vertical"}},"category":"So"},{"key":"25CE","mappings":{"default":{"default":"blanco"}},"category":"So"},{"key":"25CF","mappings":{"default":{"default":"círculo relleno"}},"category":"So"},{"key":"25D0","mappings":{"default":{"default":"círculo con mitad izquierda rellena"}},"category":"So"},{"key":"25D1","mappings":{"default":{"default":"círculo con mitad derecha rellena"}},"category":"So"},{"key":"25D2","mappings":{"default":{"default":"círculo con mitad inferior rellena"}},"category":"So"},{"key":"25D3","mappings":{"default":{"default":"círculo con mitad superior rellena"}},"category":"So"},{"key":"25D4","mappings":{"default":{"default":"círculo con cuadrante superior derecho relleno"}},"category":"So"},{"key":"25D5","mappings":{"default":{"default":"círculo con cuadrante superior izquierdo relleno"}},"category":"So"},{"key":"25D6","mappings":{"default":{"default":"semicírculo izquierdo relleno"}},"category":"So"},{"key":"25D7","mappings":{"default":{"default":"semicírculo derecho relleno"}},"category":"So"},{"key":"25D8","mappings":{"default":{"default":"bullet inversa"}},"category":"So"},{"key":"25D9","mappings":{"default":{"default":"círculo vacío inverso"}},"category":"So"},{"key":"25DA","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DB","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DC","mappings":{"default":{"default":"arco superior izquierda"}},"category":"So"},{"key":"25DD","mappings":{"default":{"default":"arco superior derecha"}},"category":"So"},{"key":"25DE","mappings":{"default":{"default":"arco inferior derecha"}},"category":"So"},{"key":"25DF","mappings":{"default":{"default":"arco inferior izquierda"}},"category":"So"},{"key":"25E0","mappings":{"default":{"default":"semicírculo superior"}},"category":"So"},{"key":"25E1","mappings":{"default":{"default":"semicírculo inferior"}},"category":"So"},{"key":"25E2","mappings":{"default":{"default":"triángulo inferior derecha relleno"}},"category":"So"},{"key":"25E3","mappings":{"default":{"default":"triángulo inferior izquierda relleno"}},"category":"So"},{"key":"25E4","mappings":{"default":{"default":"triángulo superior izquierda relleno"}},"category":"So"},{"key":"25E5","mappings":{"default":{"default":"triángulo superior derecha relleno"}},"category":"So"},{"key":"25E6","mappings":{"default":{"default":"composición"}},"category":"So"},{"key":"25E7","mappings":{"default":{"default":"cuadrado con mitad izquierda rellena"}},"category":"So"},{"key":"25E8","mappings":{"default":{"default":"cuadrado con mitad derecha rellena"}},"category":"So"},{"key":"25E9","mappings":{"default":{"default":"cuadrado con mitad superior izquierda rellena"}},"category":"So"},{"key":"25EA","mappings":{"default":{"default":"cuadrado con mitad inferior derecha rellena"}},"category":"So"},{"key":"25EB","mappings":{"default":{"default":"cuadrado con bisectriz"}},"category":"So"},{"key":"25EC","mappings":{"default":{"default":"triángulo vacío con punto"}},"category":"So"},{"key":"25ED","mappings":{"default":{"default":"triángulo apuntando arriba con mitad izquierda rellena"}},"category":"So"},{"key":"25EE","mappings":{"default":{"default":"triángulo apuntando arriba con mitad derecha rellena"}},"category":"So"},{"key":"25EF","mappings":{"default":{"default":"círculo grande"}},"category":"So"},{"category":"So","key":"25F0","mappings":{"default":{"default":"cuadrado blanco con cuadrante superior izquierdo"}}},{"category":"So","key":"25F1","mappings":{"default":{"default":"cuadrado blanco con cuadrante inferior izquierdo"}}},{"category":"So","key":"25F2","mappings":{"default":{"default":"cuadrado blanco con cuadrante inferior derecho"}}},{"category":"So","key":"25F3","mappings":{"default":{"default":"cuadrado blanco con cuadrante superior derecho"}}},{"category":"So","key":"25F4","mappings":{"default":{"default":"círculo blanco con cuadrante superior izquierdo"}}},{"category":"So","key":"25F5","mappings":{"default":{"default":"círculo blanco con cuadrante inferior izquierdo"}}},{"category":"So","key":"25F6","mappings":{"default":{"default":"círculo blanco con cuadrante inferior derecho"}}},{"category":"So","key":"25F7","mappings":{"default":{"default":"círculo blanco con cuadrante superior derecho"}}},{"key":"25F8","mappings":{"default":{"default":"triángulo superior izquierda"}},"category":"Sm"},{"key":"25F9","mappings":{"default":{"default":"triángulo superior derecha"}},"category":"Sm"},{"key":"25FA","mappings":{"default":{"default":"triángulo inferior izquierda"}},"category":"Sm"},{"key":"25FB","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FC","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FD","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FE","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FF","mappings":{"default":{"default":"triángulo inferior derecha"}},"category":"Sm"},{"category":"So","key":"2B12","mappings":{"default":{"default":"cuadrado con mitad superior negra"}}},{"category":"So","key":"2B13","mappings":{"default":{"default":"cuadrado con mitad inferior negra"}}},{"category":"So","key":"2B14","mappings":{"default":{"default":"cuadrado con mitad derecha superior diagonal negra"}}},{"category":"So","key":"2B15","mappings":{"default":{"default":"cuadrado con mitad diagonal izquierda inferior negra"}}},{"category":"So","key":"2B16","mappings":{"default":{"default":"diamante con Mitad Izquierda Negro"}}},{"category":"So","key":"2B17","mappings":{"default":{"default":"diamante con mitad derecha negra"}}},{"category":"So","key":"2B18","mappings":{"default":{"default":"diamante con mitad superior negra"}}},{"category":"So","key":"2B19","mappings":{"default":{"default":"diamante con mitad inferior negra"}}},{"category":"So","key":"2B1A","mappings":{"default":{"default":"cuadrado punteado"}}},{"category":"So","key":"2B1B","mappings":{"default":{"default":"cuadrado grande negro"}}},{"category":"So","key":"2B1C","mappings":{"default":{"default":"gran Plaza Blanca"}}},{"category":"So","key":"2B1D","mappings":{"default":{"default":"cuadrado muy pequeño negro"}}},{"category":"So","key":"2B1E","mappings":{"default":{"default":"cuadrado muy pequeño blanco"}}},{"category":"So","key":"2B1F","mappings":{"default":{"default":"pentágono negro"}}},{"category":"So","key":"2B20","mappings":{"default":{"default":"pentágono blanco"}}},{"category":"So","key":"2B21","mappings":{"default":{"default":"hexágono blanco"}}},{"category":"So","key":"2B22","mappings":{"default":{"default":"hexágono negro"}}},{"category":"So","key":"2B23","mappings":{"default":{"default":"hexagonal negro horizontal"}}},{"category":"So","key":"2B24","mappings":{"default":{"default":"circulo grande negro"}}},{"category":"So","key":"2B25","mappings":{"default":{"default":"diamante Mediano Negro"}}},{"category":"So","key":"2B26","mappings":{"default":{"default":"diamante blanco medio"}}},{"category":"So","key":"2B27","mappings":{"default":{"default":"lozenge Mediano Negro"}}},{"category":"So","key":"2B28","mappings":{"default":{"default":"pastilla blanca mediana"}}},{"category":"So","key":"2B29","mappings":{"default":{"default":"pequeño diamante negro"}}},{"category":"So","key":"2B2A","mappings":{"default":{"default":"lozenge pequeño negro"}}},{"category":"So","key":"2B2B","mappings":{"default":{"default":"lozenge pequeño blanco"}}},{"category":"So","key":"2B2C","mappings":{"default":{"default":"elipse horizontal negro"}}},{"category":"So","key":"2B2D","mappings":{"default":{"default":"elipse horizontal blanco"}}},{"category":"So","key":"2B2E","mappings":{"default":{"default":"elipse Vertical Negro"}}},{"category":"So","key":"2B2F","mappings":{"default":{"default":"elipse Vertical Blanco"}}},{"key":"2B50","mappings":{"default":{"default":"estrella media vacía"}},"category":"So"},{"key":"2B51","mappings":{"default":{"default":"estrella pequeña rellena"}},"category":"So"},{"key":"2B52","mappings":{"default":{"default":"estrella pequeña vacía"}},"category":"So"},{"category":"So","key":"2B53","mappings":{"default":{"default":"pentágono negro que señala hacia la derecha"}}},{"category":"So","key":"2B54","mappings":{"default":{"default":"pentágono blanco que señala hacia la derecha"}}},{"category":"So","key":"2B55","mappings":{"default":{"default":"círculo grande pesado"}}},{"category":"So","key":"2B56","mappings":{"default":{"default":"óvalo pesado con interior oval"}}},{"category":"So","key":"2B57","mappings":{"default":{"default":"círculo pesado con círculo dentro"}}},{"category":"So","key":"2B58","mappings":{"default":{"default":"círculo pesado"}}},{"category":"So","key":"2B59","mappings":{"default":{"default":"saltire en círculo pesado"}}}]
+,
+"es/symbols/math_harpoons.js": 
+[{"locale":"es"},{"key":"21BC","mappings":{"default":{"default":"flecha izquierda con arpón arriba"}},"category":"So"},{"key":"21BD","mappings":{"default":{"default":"flecha izquierda con arpón debajo"}},"category":"So"},{"key":"21BE","mappings":{"default":{"default":"flecha arriba con arpón derecho"}},"category":"So"},{"key":"21BF","mappings":{"default":{"default":"flecha arriba con arpón izquierdo"}},"category":"So"},{"key":"21C0","mappings":{"default":{"default":"flecha derecha con arpón arriba"}},"category":"So"},{"key":"21C1","mappings":{"default":{"default":"flecha derecha con arpón debajo"}},"category":"So"},{"key":"21C2","mappings":{"default":{"default":"flecha abajo con arpón derecho"}},"category":"So"},{"key":"21C3","mappings":{"default":{"default":"flecha abajo con arpón izquierdo"}},"category":"So"},{"key":"21CB","mappings":{"default":{"default":"arpón izquierdo arriba de arpón derecho"}},"category":"So"},{"key":"21CC","mappings":{"default":{"default":"arpón derecho arriba de arpón izquierdo"}},"category":"So"},{"category":"Sm","key":"294A","mappings":{"default":{"default":"barra izquierda arriba barra derecha abajo arpón"}}},{"category":"Sm","key":"294B","mappings":{"default":{"default":"barra izquierda abajo barra derecha arriba arpón"}}},{"category":"Sm","key":"294C","mappings":{"default":{"default":"up barb right down barb left harpoon"}}},{"category":"Sm","key":"294D","mappings":{"default":{"default":"arriba barb izquierda abajo barb derecha arpón"}}},{"category":"Sm","key":"294E","mappings":{"default":{"default":"barra izquierda arriba barra derecha arriba arpón"}}},{"key":"294F","mappings":{"default":{"default":"arpón a la derecha hacia arriba y abajo"}},"category":"Sm"},{"category":"Sm","key":"2950","mappings":{"default":{"default":"barra izquierda abajo barra derecha abajo arpón"}}},{"key":"2951","mappings":{"default":{"default":"arpón a la izquierda hacia arriba y abajo"}},"category":"Sm"},{"category":"Sm","key":"2952","mappings":{"default":{"default":"arpón a la izquierda con púa hasta la barra"}}},{"category":"Sm","key":"2953","mappings":{"default":{"default":"arpón a la derecha con púa hasta la barra"}}},{"category":"Sm","key":"2954","mappings":{"default":{"default":"arpón ascendente con púa derecha a barra"}}},{"category":"Sm","key":"2955","mappings":{"default":{"default":"arpón hacia abajo con púa derecha a barra"}}},{"category":"Sm","key":"2956","mappings":{"default":{"default":"arpón a la izquierda con púas abajo a la barra"}}},{"category":"Sm","key":"2957","mappings":{"default":{"default":"arpón a la derecha con púa abajo a la barra"}}},{"category":"Sm","key":"2958","mappings":{"default":{"default":"arpón ascendente con púa izquierda a barra"}}},{"category":"Sm","key":"2959","mappings":{"default":{"default":"arpón hacia abajo con la barra izquierda a la barra"}}},{"category":"Sm","key":"295A","mappings":{"default":{"default":"arpón a la izquierda con púa arriba de la barra"}}},{"category":"Sm","key":"295B","mappings":{"default":{"default":"arpón a la derecha con púa arriba del bar"}}},{"category":"Sm","key":"295C","mappings":{"default":{"default":"arpón ascendente con púa derecha de barra"}}},{"category":"Sm","key":"295D","mappings":{"default":{"default":"arpón hacia abajo con púa derecha de barra"}}},{"category":"Sm","key":"295E","mappings":{"default":{"default":"arpón a la izquierda con púa abajo de barra"}}},{"category":"Sm","key":"295F","mappings":{"default":{"default":"arpón a la derecha con púa abajo de barra"}}},{"category":"Sm","key":"2960","mappings":{"default":{"default":"arpón ascendente con púa izquierda de barra"}}},{"category":"Sm","key":"2961","mappings":{"default":{"default":"arpón hacia abajo con barra izquierda de barra"}}},{"category":"Sm","key":"2962","mappings":{"default":{"default":"arpón a la izquierda con púas arriba arriba arpón a la izquierda con púas abajo"}}},{"category":"Sm","key":"2963","mappings":{"default":{"default":"arpón ascendente con púa izquierda al lado arpón ascendente con púa derecha"}}},{"category":"Sm","key":"2964","mappings":{"default":{"default":"arpón a la derecha con púas arriba arriba arpón a la derecha con púas abajo"}}},{"category":"Sm","key":"2965","mappings":{"default":{"default":"arpón hacia abajo con lengüeta a la izquierda al lado arpón hacia abajo con lengüeta a la derecha"}}},{"category":"Sm","key":"2966","mappings":{"default":{"default":"arpón a la izquierda con púa arriba arriba arpón a la derecha con púa arriba"}}},{"category":"Sm","key":"2967","mappings":{"default":{"default":"arpón a la izquierda con púa abajo arriba arpón a la derecha con púa abajo"}}},{"category":"Sm","key":"2968","mappings":{"default":{"default":"arpón a la derecha con púas arriba arriba arpón a la izquierda con púas arriba"}}},{"category":"Sm","key":"2969","mappings":{"default":{"default":"arpón a la derecha con púa abajo arriba arpón a la izquierda con púa abajo"}}},{"key":"296A","mappings":{"default":{"default":"barra con arpón hacia la izquierda"}},"category":"Sm"},{"key":"296B","mappings":{"default":{"default":"arpón hacia la izquierda con barra"}},"category":"Sm"},{"key":"296C","mappings":{"default":{"default":"barra con arpón hacia la derecha"}},"category":"Sm"},{"key":"296D","mappings":{"default":{"default":"arpón hacia la derecha con barra"}},"category":"Sm"},{"category":"Sm","key":"296E","mappings":{"default":{"default":"arpón ascendente con púa izquierda al lado arpón hacia abajo con púa derecha"}}},{"category":"Sm","key":"296F","mappings":{"default":{"default":"arpón hacia abajo con lengüeta a la izquierda al lado arpón hacia arriba con pica a la derecha"}}},{"category":"Sm","key":"297C","mappings":{"default":{"default":"cola de pescado izquierda"}}},{"category":"Sm","key":"297D","mappings":{"default":{"default":"cola de pescado derecha"}}},{"key":"297E","mappings":{"default":{"default":"barra con doble gancho"}},"category":"Sm"},{"category":"Sm","key":"297F","mappings":{"default":{"default":"cola de pez abajo"}}}]
+,
+"es/symbols/math_non_characters.js": 
+[{"locale":"es"},{"key":"210F","mappings":{"default":{"default":"h barra"}},"category":"Ll"},{"category":"So","key":"2114","mappings":{"default":{"default":"L B símbolo de barra"}}},{"key":"2116","mappings":{"default":{"default":"signo de número"}},"category":"So"},{"key":"2117","mappings":{"default":{"default":"derechos de autor de sonido"}},"category":"So"},{"key":"211E","mappings":{"default":{"default":"receta"}},"category":"So"},{"category":"So","key":"211F","mappings":{"default":{"default":"respuesta"}}},{"category":"So","key":"2120","mappings":{"default":{"default":"marca de servicio"}}},{"category":"So","key":"2121","mappings":{"default":{"default":"señal de telefono"}}},{"key":"2122","mappings":{"default":{"default":"registrado"}},"category":"So"},{"category":"So","key":"2123","mappings":{"default":{"default":"versículo"}}},{"key":"2125","mappings":{"default":{"default":"onza"}},"category":"So"},{"key":"2126","mappings":{"default":{"default":"ohmio"}},"category":"Lu"},{"key":"2127","mappings":{"default":{"default":"ohmio invertido"}},"category":"So"},{"key":"212A","mappings":{"default":{"default":"grados kelvin"}},"category":"Lu"},{"key":"212B","mappings":{"default":{"default":"angstrom"}},"category":"Lu"},{"category":"So","key":"212E","mappings":{"default":{"default":"Símbolo estimado"}}},{"key":"2132","mappings":{"default":{"default":"mayúscula F invertida"}},"category":"Lu"},{"category":"Ll","key":"2139","mappings":{"default":{"default":"fuente de información"}}},{"category":"So","key":"213A","mappings":{"default":{"default":"capital rotado Q"}}},{"category":"So","key":"213B","mappings":{"default":{"default":"signo de fax"}}},{"category":"Sm","key":"2141","mappings":{"default":{"default":"convertido sans serif mayúscula G"}}},{"category":"Sm","key":"2142","mappings":{"default":{"default":"convertido sans serif mayúscula L"}}},{"category":"Sm","key":"2143","mappings":{"default":{"default":"invertido sans serif mayúscula L"}}},{"category":"Sm","key":"2144","mappings":{"default":{"default":"convertido en sans serif mayúscula Y"}}}]
+,
+"es/symbols/math_symbols.js": 
+[{"locale":"es"},{"key":"0021","mappings":{"default":{"default":"factorial"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"comillas"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"almuhadilla","defaultMP":"signo de número"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"dólar"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"porciento"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"ampersand"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"prima","defaultMP":"apóstrofo"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"por"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"más"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"coma"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"key":"002E","mappings":{"default":{"default":"punto"}},"category":"Po"},{"key":"002F","mappings":{"default":{"default":"barra oblicua"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"dos puntos"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"punto y coma"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"menor que"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"igual"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"mayor que"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"interrogación derecho","defaultMP":"cierra interrogación"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"arroba"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"barra inversa"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circunflejo"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"subrayado"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"acento grave"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"admiración izquierdo","defaultMP":"abre admiración"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"centavo"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"libra esterlina"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"moneda"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"barra vertical partida"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"sección"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"diéresis"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"ordinal femenino"}},"category":"Lo"},{"key":"00AB","mappings":{"default":{"default":"comillas angulares izquierda","defaultMP":"abre comillas angulares"}},"category":"Pi"},{"key":"00AC","mappings":{"default":{"default":"negación"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"registrado"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"barra"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"grado"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"más menos"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"acento agudo"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"micro"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"párrafo"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"punto medio"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"cedilla"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"ordinal masculino"}},"category":"Lo"},{"key":"00BB","mappings":{"default":{"default":"comillas angulares derecha","defaultMP":"cierra comillas angulares"}},"category":"Pf"},{"key":"00BF","mappings":{"default":{"default":"interrogación izquierdo","defaultMP":"abre interrogación"}},"category":"Po"},{"key":"00D7","mappings":{"default":{"default":"por"}},"category":"Sm"},{"key":"00F7","mappings":{"default":{"default":"dividido"}},"category":"Sm"},{"key":"02D8","mappings":{"default":{"default":"breve"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"punto en superescrito"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"anillo en superescrito"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"doble acento agudo"}},"category":"Sk"},{"key":"2010","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"category":"Pd","key":"2011","mappings":{"default":{"default":"guión no rompible"}}},{"category":"Pd","key":"2012","mappings":{"default":{"default":"figura Dash"}}},{"key":"2013","mappings":{"default":{"default":"en raya"}},"category":"Pd"},{"key":"2014","mappings":{"default":{"default":"em raya"}},"category":"Pd"},{"key":"2015","mappings":{"default":{"default":"barra horizontal"}},"category":"Pd"},{"key":"2016","mappings":{"default":{"default":"doble barra vertical"}},"category":"Po"},{"category":"Po","key":"2017","mappings":{"default":{"default":"línea baja doble"}}},{"key":"2018","mappings":{"default":{"default":"comilla izquierda"}},"category":"Pi"},{"key":"2019","mappings":{"default":{"default":"comilla derecha"}},"category":"Pf"},{"key":"201A","mappings":{"default":{"default":"comilla bajo 9"}},"category":"Ps"},{"category":"Pi","key":"201B","mappings":{"default":{"default":"marca de comillas simple con inversión alta-9"}}},{"key":"201C","mappings":{"default":{"default":"doble comilla"}},"category":"Pi"},{"key":"201D","mappings":{"default":{"default":"doble comilla derecha"}},"category":"Pf"},{"key":"201E","mappings":{"default":{"default":"doble comilla bajo 9"}},"category":"Ps"},{"category":"Pi","key":"201F","mappings":{"default":{"default":"doble alto-invertido-9 comillas"}}},{"key":"2020","mappings":{"default":{"default":"daga"}},"category":"Po"},{"key":"2021","mappings":{"default":{"default":"doble daga"}},"category":"Po"},{"key":"2022","mappings":{"default":{"default":"bala"}},"category":"Po"},{"category":"Po","key":"2023","mappings":{"default":{"default":"bala triangular"}}},{"category":"Po","key":"2024","mappings":{"default":{"default":"líder de un punto"}}},{"key":"2025","mappings":{"default":{"default":"dos puntos líder"}},"category":"Po"},{"key":"2026","mappings":{"default":{"default":"puntos suspensivos"}},"category":"Po"},{"category":"Po","key":"2027","mappings":{"default":{"default":"punto de separación"}}},{"key":"2030","mappings":{"default":{"default":"tanto por millar"}},"category":"Po"},{"key":"2031","mappings":{"default":{"default":"tanto por diez mil"}},"category":"Po"},{"key":"2032","mappings":{"default":{"default":"prima"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"segunda"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"tercera"}},"category":"Po"},{"key":"2035","mappings":{"default":{"default":"acento grave"}},"category":"Po"},{"key":"2036","mappings":{"default":{"default":"doble acento grave"}},"category":"Po"},{"category":"Po","key":"2037","mappings":{"default":{"default":"prime Prime invertido"}}},{"category":"Po","key":"2038","mappings":{"default":{"default":"signo de intercalación"}}},{"key":"2039","mappings":{"default":{"default":"comillas izquierda","defaultMP":"abre comillas"}},"category":"Pi"},{"key":"203A","mappings":{"default":{"default":"comillas derecha","defaultMP":"cierra comillas"}},"category":"Pf"},{"category":"Po","key":"203B","mappings":{"default":{"default":"marca de referencia"}}},{"category":"Po","key":"203C","mappings":{"default":{"default":"doble signo de exclamación"}}},{"category":"Po","key":"203D","mappings":{"default":{"default":"interrobang"}}},{"key":"203E","mappings":{"default":{"default":"barra superior"}},"category":"Po"},{"category":"Pc","key":"203F","mappings":{"default":{"default":"undertie"}}},{"key":"2040","mappings":{"default":{"default":"ligadura"}},"category":"Pc"},{"key":"2041","mappings":{"default":{"default":"punto de inserción"}},"category":"Po"},{"category":"Po","key":"2042","mappings":{"default":{"default":"asterismo"}}},{"key":"2043","mappings":{"default":{"default":"guión bala"}},"category":"Po"},{"key":"2044","mappings":{"default":{"default":"barra de fracción"}},"category":"Sm"},{"category":"Po","key":"2047","mappings":{"default":{"default":"doble signo de interrogación"}}},{"category":"Po","key":"2048","mappings":{"default":{"default":"pregunta Signo de exclamación"}}},{"category":"Po","key":"2049","mappings":{"default":{"default":"signo de interrogación de exclamación"}}},{"category":"Po","key":"204B","mappings":{"default":{"default":"signo de Pilcrow invertido"}}},{"category":"Po","key":"204C","mappings":{"default":{"default":"bala negra hacia la izquierda"}}},{"category":"Po","key":"204D","mappings":{"default":{"default":"bala negra hacia la derecha"}}},{"category":"Po","key":"204E","mappings":{"default":{"default":"bajo asterisco"}}},{"key":"204F","mappings":{"default":{"default":"punto y coma invertido"}},"category":"Po"},{"key":"2050","mappings":{"default":{"default":"cierre superior"}},"category":"Po"},{"category":"Po","key":"2051","mappings":{"default":{"default":"dos asteriscos alineados verticalmente"}}},{"category":"Sm","key":"2052","mappings":{"default":{"default":"signo de menos comercial"}}},{"category":"Po","key":"2053","mappings":{"default":{"default":"swung Dash"}}},{"category":"Pc","key":"2054","mappings":{"default":{"default":"ropa interior invertida"}}},{"category":"Po","key":"2055","mappings":{"default":{"default":"signo de puntuación de la flor"}}},{"category":"Po","key":"2056","mappings":{"default":{"default":"puntuación de tres puntos"}}},{"key":"2057","mappings":{"default":{"default":"cuarta"}},"category":"Po"},{"category":"Po","key":"2058","mappings":{"default":{"default":"puntuación de cuatro puntos"}}},{"category":"Po","key":"2059","mappings":{"default":{"default":"puntuación de cinco puntos"}}},{"category":"Po","key":"205A","mappings":{"default":{"default":"puntuación de dos puntos"}}},{"category":"Po","key":"205B","mappings":{"default":{"default":"marca de cuatro puntos"}}},{"category":"Po","key":"205C","mappings":{"default":{"default":"cruz punteada"}}},{"category":"Po","key":"205D","mappings":{"default":{"default":"tricolon"}}},{"category":"Po","key":"205E","mappings":{"default":{"default":"cuatro puntos verticales"}}},{"category":"Sm","key":"207A","mappings":{"default":{"default":"superscript Plus Sign"}}},{"category":"Sm","key":"207B","mappings":{"default":{"default":"superíndice menos"}}},{"category":"Sm","key":"207C","mappings":{"default":{"default":"superscript Equals Sign"}}},{"category":"Ps","key":"207D","mappings":{"default":{"default":"paréntesis izquierdo superíndice"}}},{"category":"Pe","key":"207E","mappings":{"default":{"default":"paréntesis derecho superíndice"}}},{"category":"Sm","key":"208A","mappings":{"default":{"default":"signo de subíndice más"}}},{"category":"Sm","key":"208B","mappings":{"default":{"default":"subíndice menos"}}},{"category":"Sm","key":"208C","mappings":{"default":{"default":"signo de subíndice es igual"}}},{"category":"Ps","key":"208D","mappings":{"default":{"default":"subíndice paréntesis izquierdo"}}},{"category":"Pe","key":"208E","mappings":{"default":{"default":"subíndice de paréntesis derecho"}}},{"category":"So","key":"214A","mappings":{"default":{"default":"línea de propiedad"}}},{"category":"Sm","key":"214B","mappings":{"default":{"default":"ampersand convertido"}}},{"category":"So","key":"214C","mappings":{"default":{"default":"por signo"}}},{"category":"So","key":"214D","mappings":{"default":{"default":"aktieselskab"}}},{"category":"Ll","key":"214E","mappings":{"default":{"default":"torneado pequeño f"}}},{"key":"2200","mappings":{"default":{"default":"para todo"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"complementario"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"existe"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"no existe"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"conjunto vacío"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"incremento"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"no perteneciente a"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"no comprende a"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"fin de demostración"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"producto"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"sumatorio"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"menos más"}},"category":"Sm"},{"key":"2214","mappings":{"default":{"default":"punto más"}},"category":"Sm"},{"key":"2215","mappings":{"default":{"default":"barra de división"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"asterisco"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"composición"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"bala"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"raíz"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"raíz cúbica"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"raíz cuarta"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proporcional a"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"infinito"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"ángulo recto"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"ángulo"}},"category":"Sm"},{"key":"2221","mappings":{"default":{"default":"ángulo medido"}},"category":"Sm"},{"key":"2222","mappings":{"default":{"default":"ángulo esférico"}},"category":"Sm"},{"key":"2223","mappings":{"default":{"default":"divide a"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"no divide a"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"paralela a"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"no paralela a"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"integral"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"integral doble"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"integral triple"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"integral de contorno"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"integral de superficie"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"integral de volumen"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"integral de contorno en sentido antihorario"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"por lo tanto"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"porque"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"razón"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"proporción"}},"category":"Sm"},{"key":"2238","mappings":{"default":{"default":"punto menos"}},"category":"Sm"},{"key":"2239","mappings":{"default":{"default":"exceso"}},"category":"Sm"},{"key":"223A","mappings":{"default":{"default":"proporción geométrica"}},"category":"Sm"},{"key":"223B","mappings":{"default":{"default":"homotecia"}},"category":"Sm"},{"key":"223C","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"223D","mappings":{"default":{"default":"tilde invertido"}},"category":"Sm"},{"key":"223E","mappings":{"default":{"default":"s horizontal invertida"}},"category":"Sm"},{"key":"223F","mappings":{"default":{"default":"sinusoide"}},"category":"Sm"},{"key":"2240","mappings":{"default":{"default":"producto de guirnalda"}},"category":"Sm"},{"key":"2241","mappings":{"default":{"default":"no tilde"}},"category":"Sm"},{"key":"2242","mappings":{"default":{"default":"menos tilde"}},"category":"Sm"},{"key":"2243","mappings":{"default":{"default":"asintóticamente igual a"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"no asintóticamente igual a"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"aproximadamente igual a"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"aproximado pero no igual a"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"no aproximado a"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"aproximado","defaultMP":"casi igual a"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"no es casi igual a"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"igual o casi igual a"}},"category":"Sm"},{"key":"224B","mappings":{"default":{"default":"triple tilde"}},"category":"Sm"},{"key":"224C","mappings":{"default":{"default":"todo igual a"}},"category":"Sm"},{"key":"224D","mappings":{"default":{"default":"equivalente a"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"geométricamente equivalente a"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"se acerca al límite"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"geométricamente igual a"}},"category":"Sm"},{"key":"2252","mappings":{"default":{"default":"aproximadamente igual a o imagen de"}},"category":"Sm"},{"key":"2253","mappings":{"default":{"default":"imagen de o aproximadamente igual a"}},"category":"Sm"},{"key":"2254","mappings":{"default":{"default":"dos puntos igual"}},"category":"Sm"},{"key":"2255","mappings":{"default":{"default":"igual dos puntos"}},"category":"Sm"},{"key":"2256","mappings":{"default":{"default":"igual incluyendo anillo"}},"category":"Sm"},{"key":"2257","mappings":{"default":{"default":"igual anillo a"}},"category":"Sm"},{"key":"2258","mappings":{"default":{"default":"corresponde a"}},"category":"Sm"},{"key":"2259","mappings":{"default":{"default":"estima a"}},"category":"Sm"},{"key":"225A","mappings":{"default":{"default":"equiangular con"}},"category":"Sm"},{"key":"225B","mappings":{"default":{"default":"igual con estrella"}},"category":"Sm"},{"key":"225C","mappings":{"default":{"default":"igual con delta"}},"category":"Sm"},{"key":"225D","mappings":{"default":{"default":"igual por definición a"}},"category":"Sm"},{"key":"225E","mappings":{"default":{"default":"medido por"}},"category":"Sm"},{"key":"225F","mappings":{"default":{"default":"igual con interrogante"}},"category":"Sm"},{"key":"2260","mappings":{"default":{"default":"no es igual a","defaultMP":"distinto de"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"idéntico a"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"no es idéntico a"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"estrictamente equivalente a"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"entre"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"no equivalente a"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"no menor que"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"no mayor que"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"no menor ni igual a"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"no mayor ni igual a"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"menor o equivalente a"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"mayor o equivalente a"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"no menor ni equivalente a"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"no mayor ni equivalente a"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"menor o mayor que"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"no menor ni mayor que"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"no mayor ni menor que"}},"category":"Sm"},{"key":"227A","mappings":{"default":{"default":"precede a"}},"category":"Sm"},{"key":"227B","mappings":{"default":{"default":"sigue a"}},"category":"Sm"},{"key":"227C","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"227D","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"227E","mappings":{"default":{"default":"precede o es equivalente a"}},"category":"Sm"},{"key":"227F","mappings":{"default":{"default":"sigue o es equivalente a"}},"category":"Sm"},{"key":"2280","mappings":{"default":{"default":"no precede a"}},"category":"Sm"},{"key":"2281","mappings":{"default":{"default":"no sigue a"}},"category":"Sm"},{"key":"2282","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"2283","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"2284","mappings":{"default":{"default":"no incluido en"}},"category":"Sm"},{"key":"2285","mappings":{"default":{"default":"no contiene a"}},"category":"Sm"},{"key":"2286","mappings":{"default":{"default":"incluido o igual a"}},"category":"Sm"},{"key":"2287","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"2288","mappings":{"default":{"default":"no incluido ni igual a"}},"category":"Sm"},{"key":"2289","mappings":{"default":{"default":"no contiene ni es igual a"}},"category":"Sm"},{"key":"228A","mappings":{"default":{"default":"incluido estrictamente en"}},"category":"Sm"},{"key":"228B","mappings":{"default":{"default":"contiene estrictamente a"}},"category":"Sm"},{"key":"228C","mappings":{"default":{"default":"familia de conjuntos"}},"category":"Sm"},{"key":"228D","mappings":{"default":{"default":"producto de familia de conjuntos"}},"category":"Sm"},{"key":"228E","mappings":{"default":{"default":"unión de familia de conjuntos"}},"category":"Sm"},{"key":"228F","mappings":{"default":{"default":"imagen cuadrada de"}},"category":"Sm"},{"key":"2290","mappings":{"default":{"default":"original cuadrado de"}},"category":"Sm"},{"key":"2291","mappings":{"default":{"default":"imagen cuadrada de o igual a"}},"category":"Sm"},{"key":"2292","mappings":{"default":{"default":"original cuadrado de o igual a"}},"category":"Sm"},{"key":"2293","mappings":{"default":{"default":"intersección cuadrada"}},"category":"Sm"},{"key":"2294","mappings":{"default":{"default":"unión cuadrada"}},"category":"Sm"},{"key":"2295","mappings":{"default":{"default":"más en círculo"}},"category":"Sm"},{"key":"2296","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"2297","mappings":{"default":{"default":"por en círculo"}},"category":"Sm"},{"key":"2298","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"2299","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"229A","mappings":{"default":{"default":"anillo en círculo"}},"category":"Sm"},{"key":"229B","mappings":{"default":{"default":"asterisco en círculo"}},"category":"Sm"},{"key":"229C","mappings":{"default":{"default":"igual en círculo"}},"category":"Sm"},{"key":"229D","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"229E","mappings":{"default":{"default":"más en cuadrado"}},"category":"Sm"},{"key":"229F","mappings":{"default":{"default":"menos en cuadrado"}},"category":"Sm"},{"key":"22A0","mappings":{"default":{"default":"veces en cuadrado"}},"category":"Sm"},{"key":"22A1","mappings":{"default":{"default":"punto en cuadrado"}},"category":"Sm"},{"key":"22A2","mappings":{"default":{"default":"t horizontal hacia la izquierda"}},"category":"Sm"},{"key":"22A3","mappings":{"default":{"default":"t horizontal hacia la derecha"}},"category":"Sm"},{"key":"22A4","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"22A5","mappings":{"default":{"default":"perpendicular invertida"}},"category":"Sm"},{"key":"22A6","mappings":{"default":{"default":"afirmación"}},"category":"Sm"},{"key":"22A7","mappings":{"default":{"default":"modela"}},"category":"Sm"},{"key":"22A8","mappings":{"default":{"default":"verdadero"}},"category":"Sm"},{"key":"22A9","mappings":{"default":{"default":"obliga"}},"category":"Sm"},{"key":"22AA","mappings":{"default":{"default":"triple barra vertical torniquete derecho"}},"category":"Sm"},{"key":"22AB","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho"}},"category":"Sm"},{"key":"22AC","mappings":{"default":{"default":"no prueba"}},"category":"Sm"},{"key":"22AD","mappings":{"default":{"default":"falso"}},"category":"Sm"},{"key":"22AE","mappings":{"default":{"default":"no obliga"}},"category":"Sm"},{"key":"22AF","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho negada"}},"category":"Sm"},{"key":"22B0","mappings":{"default":{"default":"precede respecto de"}},"category":"Sm"},{"key":"22B1","mappings":{"default":{"default":"sigue respecto de"}},"category":"Sm"},{"key":"22B2","mappings":{"default":{"default":"subgrupo normal de"}},"category":"Sm"},{"key":"22B3","mappings":{"default":{"default":"contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22B4","mappings":{"default":{"default":"subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B5","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B6","mappings":{"default":{"default":"original de"}},"category":"Sm"},{"key":"22B7","mappings":{"default":{"default":"imagen de"}},"category":"Sm"},{"key":"22B8","mappings":{"default":{"default":"multifunción"}},"category":"Sm"},{"key":"22B9","mappings":{"default":{"default":"matriz hermitiana conjugada"}},"category":"Sm"},{"key":"22BA","mappings":{"default":{"default":"interpola"}},"category":"Sm"},{"key":"22BB","mappings":{"default":{"default":"o excluyente"}},"category":"Sm"},{"key":"22BC","mappings":{"default":{"default":"no y"}},"category":"Sm"},{"key":"22BD","mappings":{"default":{"default":"no o"}},"category":"Sm"},{"key":"22BF","mappings":{"default":{"default":"triángulo rectángulo"}},"category":"Sm"},{"key":"22C0","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"22C1","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"22C2","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"22C3","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"22C4","mappings":{"default":{"default":"operador diamante"}},"category":"Sm"},{"key":"22C5","mappings":{"default":{"default":"punto"}},"category":"Sm"},{"key":"22C6","mappings":{"default":{"default":"estrella"}},"category":"Sm"},{"key":"22C7","mappings":{"default":{"default":"dividido por"}},"category":"Sm"},{"key":"22C8","mappings":{"default":{"default":"moño"}},"category":"Sm"},{"key":"22C9","mappings":{"default":{"default":"factor normal izquierdo producto semidirecto"}},"category":"Sm"},{"key":"22CA","mappings":{"default":{"default":"factor normal derecho producto semidirecto"}},"category":"Sm"},{"key":"22CB","mappings":{"default":{"default":"producto semidirecto izquierdo"}},"category":"Sm"},{"key":"22CC","mappings":{"default":{"default":"producto semidirecto derecho"}},"category":"Sm"},{"key":"22CD","mappings":{"default":{"default":"tilde invertida igual a"}},"category":"Sm"},{"key":"22CE","mappings":{"default":{"default":"o rizada"}},"category":"Sm"},{"key":"22CF","mappings":{"default":{"default":"y rizada"}},"category":"Sm"},{"key":"22D0","mappings":{"default":{"default":"doble incluido"}},"category":"Sm"},{"key":"22D1","mappings":{"default":{"default":"doble contiene"}},"category":"Sm"},{"key":"22D2","mappings":{"default":{"default":"doble intersección"}},"category":"Sm"},{"key":"22D3","mappings":{"default":{"default":"doble unión"}},"category":"Sm"},{"key":"22D4","mappings":{"default":{"default":"bieldo"}},"category":"Sm"},{"key":"22D5","mappings":{"default":{"default":"paralela o igual a"}},"category":"Sm"},{"key":"22D6","mappings":{"default":{"default":"menor que con punto"}},"category":"Sm"},{"key":"22D7","mappings":{"default":{"default":"mayor que con punto"}},"category":"Sm"},{"key":"22D8","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"22D9","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"22DA","mappings":{"default":{"default":"menor igual o mayor que"}},"category":"Sm"},{"key":"22DB","mappings":{"default":{"default":"mayor igual o menor que"}},"category":"Sm"},{"key":"22DC","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"22DD","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"22DE","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"22DF","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"22E0","mappings":{"default":{"default":"no precede ni es igual a"}},"category":"Sm"},{"key":"22E1","mappings":{"default":{"default":"no sigue ni es igual a"}},"category":"Sm"},{"key":"22E2","mappings":{"default":{"default":"no es imagen cuadrada ni igual a"}},"category":"Sm"},{"key":"22E3","mappings":{"default":{"default":"no es original cuadrada ni igual a"}},"category":"Sm"},{"key":"22E4","mappings":{"default":{"default":"imagen cuadrada estricta"}},"category":"Sm"},{"key":"22E5","mappings":{"default":{"default":"original cuadrada estricta"}},"category":"Sm"},{"key":"22E6","mappings":{"default":{"default":"menor que no equivalente a"}},"category":"Sm"},{"key":"22E7","mappings":{"default":{"default":"mayor que no equivalente a"}},"category":"Sm"},{"key":"22E8","mappings":{"default":{"default":"precede no equivalente a"}},"category":"Sm"},{"key":"22E9","mappings":{"default":{"default":"sigue no equivalente a"}},"category":"Sm"},{"key":"22EA","mappings":{"default":{"default":"no subgrupo normal de"}},"category":"Sm"},{"key":"22EB","mappings":{"default":{"default":"no contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22EC","mappings":{"default":{"default":"no es subgrupo normal ni igual a"}},"category":"Sm"},{"key":"22ED","mappings":{"default":{"default":"no contiene como subgrupo normal ni es igual a"}},"category":"Sm"},{"key":"22EE","mappings":{"default":{"default":"puntos suspensivos verticales"}},"category":"Sm"},{"key":"22EF","mappings":{"default":{"default":"puntos suspensivos altos"}},"category":"Sm"},{"key":"22F0","mappings":{"default":{"default":"puntos suspensivos diagonales subiendo"}},"category":"Sm"},{"key":"22F1","mappings":{"default":{"default":"puntos suspensivos diagonales bajando"}},"category":"Sm"},{"key":"22F2","mappings":{"default":{"default":"pertenece con trazo horizontal"}},"category":"Sm"},{"key":"22F3","mappings":{"default":{"default":"pertenece con barra vertical al fin de raya horizontal"}},"category":"Sm"},{"key":"22F4","mappings":{"default":{"default":"pertenece en pequeño con trazo vertical"}},"category":"Sm"},{"key":"22F5","mappings":{"default":{"default":"pertenece con punto arriba"}},"category":"Sm"},{"key":"22F6","mappings":{"default":{"default":"pertenece con barra arriba"}},"category":"Sm"},{"key":"22F7","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F8","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F9","mappings":{"default":{"default":"pertenece con dos trazos horizontales"}},"category":"Sm"},{"key":"22FA","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"22FB","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FC","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FD","mappings":{"default":{"default":"contiene con barra"}},"category":"Sm"},{"key":"22FE","mappings":{"default":{"default":"perteneciente con barra"}},"category":"Sm"},{"key":"22FF","mappings":{"default":{"default":"z anotación asociación de bolsa"}},"category":"Sm"},{"key":"2300","mappings":{"default":{"default":"diámetro"}},"category":"So"},{"key":"2302","mappings":{"default":{"default":"casa"}},"category":"So"},{"key":"2305","mappings":{"default":{"default":"en proyectividad con"}},"category":"So"},{"key":"2306","mappings":{"default":{"default":"en perspectividad con"}},"category":"So"},{"category":"So","key":"2307","mappings":{"default":{"default":"línea ondulada"}}},{"key":"2310","mappings":{"default":{"default":"no invertido"}},"category":"So"},{"category":"So","key":"2311","mappings":{"default":{"default":"pastillas cuadradas"}}},{"key":"2312","mappings":{"default":{"default":"arco"}},"category":"So"},{"key":"2313","mappings":{"default":{"default":"segmento"}},"category":"So"},{"category":"So","key":"2314","mappings":{"default":{"default":"sector"}}},{"category":"So","key":"2795","mappings":{"default":{"default":"signo más pesado"}}},{"category":"So","key":"2796","mappings":{"default":{"default":"signo menos pesado"}}},{"category":"So","key":"2797","mappings":{"default":{"default":"signo de la división pesada"}}},{"category":"So","key":"27B0","mappings":{"default":{"default":"bucle rizado"}}},{"category":"So","key":"27BF","mappings":{"default":{"default":"doble bucle rizado"}}},{"key":"27C1","mappings":{"default":{"default":"triángulo encerrando triángulo"}},"category":"Sm"},{"key":"27C2","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27C3","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"27C4","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"27C7","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"27C8","mappings":{"default":{"default":"atrás tajo antes de subconjunto"}},"category":"Sm"},{"key":"27C9","mappings":{"default":{"default":"sobreconjunto antes de tajo"}},"category":"Sm"},{"key":"27CA","mappings":{"default":{"default":"barra vertical con golpe horizontal"}},"category":"Sm"},{"category":"Sm","key":"27CB","mappings":{"default":{"default":"diagonal matemático de levantamiento"}}},{"key":"27CC","mappings":{"default":{"default":"división larga"}},"category":"Sm"},{"category":"Sm","key":"27CD","mappings":{"default":{"default":"diagonal descendente matemática"}}},{"category":"Sm","key":"27CE","mappings":{"default":{"default":"cuadrado Lógico Y"}}},{"category":"Sm","key":"27CF","mappings":{"default":{"default":"cuadrado Lógico O"}}},{"category":"Sm","key":"27D0","mappings":{"default":{"default":"diamante blanco con punto centrado"}}},{"key":"27D1","mappings":{"default":{"default":"y con punto interior"}},"category":"Sm"},{"key":"27D2","mappings":{"default":{"default":"elemento de apertura hacia arriba"}},"category":"Sm"},{"key":"27D3","mappings":{"default":{"default":"ángulo inferior derecho con punto"}},"category":"Sm"},{"key":"27D4","mappings":{"default":{"default":"ángulo inferior izquierdo con punto"}},"category":"Sm"},{"key":"27D5","mappings":{"default":{"default":"izquierdo exterior une"}},"category":"Sm"},{"key":"27D6","mappings":{"default":{"default":"derecho exterior une"}},"category":"Sm"},{"key":"27D7","mappings":{"default":{"default":"lleno exterior une"}},"category":"Sm"},{"key":"27D8","mappings":{"default":{"default":"perpendicular inversa"}},"category":"Sm"},{"key":"27D9","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27DA","mappings":{"default":{"default":"izquierdo y derecho doble torniquete"}},"category":"Sm"},{"key":"27DB","mappings":{"default":{"default":"doble T horizontal"}},"category":"Sm"},{"key":"27DC","mappings":{"default":{"default":"multifunción por la izquierda"}},"category":"Sm"},{"key":"27DD","mappings":{"default":{"default":"t horizontal derecha larga"}},"category":"Sm"},{"key":"27DE","mappings":{"default":{"default":"t horizontal izquierda larga"}},"category":"Sm"},{"key":"27DF","mappings":{"default":{"default":"perpendicular inversa con círculo arriba"}},"category":"Sm"},{"key":"27E0","mappings":{"default":{"default":"pastilla dividida por regla horizontal"}},"category":"Sm"},{"key":"27E1","mappings":{"default":{"default":"diamante cóncavo vacío"}},"category":"Sm"},{"key":"27E2","mappings":{"default":{"default":"diamante cóncavo con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E3","mappings":{"default":{"default":"diamante cóncavo con tictac hacia derecha"}},"category":"Sm"},{"key":"27E4","mappings":{"default":{"default":"cuadrado con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E5","mappings":{"default":{"default":"cuadrado con tictac hacia derecha"}},"category":"Sm"},{"category":"Sm","key":"292B","mappings":{"default":{"default":"cruce en diagonal Cruce en diagonal Caída en diagonal"}}},{"category":"Sm","key":"292C","mappings":{"default":{"default":"diagonal descendente Cruce diagonal ascendente"}}},{"category":"Sm","key":"2980","mappings":{"default":{"default":"delimitador de barra vertical triple"}}},{"category":"Sm","key":"2981","mappings":{"default":{"default":"punto de notación Z"}}},{"category":"Sm","key":"2982","mappings":{"default":{"default":"tipo de notación Z Colon"}}},{"category":"Sm","key":"2999","mappings":{"default":{"default":"valla punteada"}}},{"key":"299A","mappings":{"default":{"default":"zigzag en vertical"}},"category":"Sm"},{"key":"29B0","mappings":{"default":{"default":"conjunto vacío invertido"}},"category":"Sm"},{"key":"29B1","mappings":{"default":{"default":"conjunto vacío con barra"}},"category":"Sm"},{"key":"29B2","mappings":{"default":{"default":"conjunto vacío con círculo"}},"category":"Sm"},{"key":"29B5","mappings":{"default":{"default":"círculo con barra"}},"category":"Sm"},{"key":"29B6","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"29B7","mappings":{"default":{"default":"paralelas en círculo"}},"category":"Sm"},{"category":"Sm","key":"29B8","mappings":{"default":{"default":"círculo inverso solidus"}}},{"key":"29B9","mappings":{"default":{"default":"perpendicular en círculo"}},"category":"Sm"},{"category":"Sm","key":"29BA","mappings":{"default":{"default":"círculo dividido por barra horizontal y mitad superior dividido por barra vertical"}}},{"key":"29BB","mappings":{"default":{"default":"x superimpresa en círculo"}},"category":"Sm"},{"key":"29BC","mappings":{"default":{"default":"circled anticlockwise rotated division"}},"category":"Sm"},{"key":"29BE","mappings":{"default":{"default":"bullet vacía en círculo"}},"category":"Sm"},{"key":"29BF","mappings":{"default":{"default":"bullet en círculo"}},"category":"Sm"},{"key":"29C0","mappings":{"default":{"default":"menor que en círculo"}},"category":"Sm"},{"key":"29C1","mappings":{"default":{"default":"mayor que en círculo"}},"category":"Sm"},{"key":"29C2","mappings":{"default":{"default":"círculo con círculo a la derecha"}},"category":"Sm"},{"key":"29C3","mappings":{"default":{"default":"circle with two horizontal strokes to the right"}},"category":"Sm"},{"key":"29C4","mappings":{"default":{"default":"cuadrado con diagonal ascendente"}},"category":"Sm"},{"key":"29C5","mappings":{"default":{"default":"cuadrado con diagonal descendente"}},"category":"Sm"},{"category":"Sm","key":"29C6","mappings":{"default":{"default":"asterisco cuadrado"}}},{"category":"Sm","key":"29C7","mappings":{"default":{"default":"pequeño círculo cuadrado"}}},{"category":"Sm","key":"29C8","mappings":{"default":{"default":"cuadrado cuadrado"}}},{"key":"29C9","mappings":{"default":{"default":"dos cuadrados unidos"}},"category":"Sm"},{"category":"Sm","key":"29CA","mappings":{"default":{"default":"triángulo con punto arriba"}}},{"category":"Sm","key":"29CB","mappings":{"default":{"default":"triángulo con barra inferior"}}},{"category":"Sm","key":"29CC","mappings":{"default":{"default":"s en triangulo"}}},{"key":"29CD","mappings":{"default":{"default":"triangle with serifs at bottom"}},"category":"Sm"},{"key":"29CE","mappings":{"default":{"default":"triángulo hacia la derecha sobre triángulo hacia la izquierda"}},"category":"Sm"},{"key":"29CF","mappings":{"default":{"default":"subgrupo normal o igual a"}},"category":"Sm"},{"key":"29D0","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"category":"Sm","key":"29D1","mappings":{"default":{"default":"pajarita Con Mitad Izquierda Negra"}}},{"category":"Sm","key":"29D2","mappings":{"default":{"default":"pajarita Con Mitad Derecha Negra"}}},{"category":"Sm","key":"29D3","mappings":{"default":{"default":"pajarita Negra"}}},{"category":"Sm","key":"29D4","mappings":{"default":{"default":"tiempos con Mitad Izquierda Negra"}}},{"category":"Sm","key":"29D5","mappings":{"default":{"default":"tiempos con la mitad derecha negra"}}},{"category":"Sm","key":"29D6","mappings":{"default":{"default":"reloj de arena blanco"}}},{"category":"Sm","key":"29D7","mappings":{"default":{"default":"reloj de arena negro"}}},{"key":"29DC","mappings":{"default":{"default":"infinito incompleto"}},"category":"Sm"},{"category":"Sm","key":"29DD","mappings":{"default":{"default":"empate sobre el infinito"}}},{"key":"29DE","mappings":{"default":{"default":"no infinito"}},"category":"Sm"},{"category":"Sm","key":"29DF","mappings":{"default":{"default":"multimapa de doble extremo"}}},{"category":"Sm","key":"29E0","mappings":{"default":{"default":"cuadrado con contorno contorneado"}}},{"category":"Sm","key":"29E1","mappings":{"default":{"default":"aumenta como"}}},{"category":"Sm","key":"29E2","mappings":{"default":{"default":"shuffle Product"}}},{"key":"29E3","mappings":{"default":{"default":"igual tachado doble "}},"category":"Sm"},{"key":"29E4","mappings":{"default":{"default":"igual con tilde, con doble tachado"}},"category":"Sm"},{"key":"29E5","mappings":{"default":{"default":"idéntico a con doble tachado"}},"category":"Sm"},{"category":"Sm","key":"29E6","mappings":{"default":{"default":"gleich Stark"}}},{"category":"Sm","key":"29E7","mappings":{"default":{"default":"termodinamica"}}},{"category":"Sm","key":"29E8","mappings":{"default":{"default":"triángulo que apunta hacia abajo con la mitad izquierda negra"}}},{"category":"Sm","key":"29E9","mappings":{"default":{"default":"triángulo que apunta hacia abajo con la mitad derecha negra"}}},{"key":"29EB","mappings":{"default":{"default":"rombo relleno"}},"category":"Sm"},{"category":"Sm","key":"29EE","mappings":{"default":{"default":"plaza blanca con error"}}},{"category":"Sm","key":"29EF","mappings":{"default":{"default":"error en la Plaza Negra"}}},{"category":"Sm","key":"29F0","mappings":{"default":{"default":"error White Barred Diamond"}}},{"category":"Sm","key":"29F1","mappings":{"default":{"default":"error Black Barred Diamond"}}},{"category":"Sm","key":"29F2","mappings":{"default":{"default":"círculo blanco con error"}}},{"category":"Sm","key":"29F3","mappings":{"default":{"default":"círculo negro con barras de error"}}},{"key":"29F4","mappings":{"default":{"default":"rule delayed"}},"category":"Sm"},{"category":"Sm","key":"29F5","mappings":{"default":{"default":"operador de Solidus Inverso"}}},{"key":"29F6","mappings":{"default":{"default":"solidus with overbar"}},"category":"Sm"},{"category":"Sm","key":"29F7","mappings":{"default":{"default":"solidus inverso con trazo horizontal"}}},{"category":"Sm","key":"29F8","mappings":{"default":{"default":"sólido grande"}}},{"category":"Sm","key":"29F9","mappings":{"default":{"default":"sólido inverso grande"}}},{"category":"Sm","key":"29FA","mappings":{"default":{"default":"doble Plus"}}},{"category":"Sm","key":"29FB","mappings":{"default":{"default":"triple Plus"}}},{"category":"Sm","key":"29FE","mappings":{"default":{"default":"minúsculo"}}},{"category":"Sm","key":"29FF","mappings":{"default":{"default":"miny"}}},{"category":"Sm","key":"2A00","mappings":{"default":{"default":"operador de puntos circulares N-Ary"}}},{"category":"Sm","key":"2A01","mappings":{"default":{"default":"operador N-Ary Circled Plus"}}},{"category":"Sm","key":"2A02","mappings":{"default":{"default":"operador de los tiempos en círculo de N-Ary"}}},{"category":"Sm","key":"2A03","mappings":{"default":{"default":"operador de la unión N-Ary con punto"}}},{"category":"Sm","key":"2A04","mappings":{"default":{"default":"n-Ary Union Operator con Plus"}}},{"category":"Sm","key":"2A05","mappings":{"default":{"default":"operador de intersecciones cuadradas N-Ary"}}},{"category":"Sm","key":"2A06","mappings":{"default":{"default":"n-Ary Square Union Operator"}}},{"category":"Sm","key":"2A07","mappings":{"default":{"default":"dos lógico y operador"}}},{"category":"Sm","key":"2A08","mappings":{"default":{"default":"dos lógico u operador"}}},{"category":"Sm","key":"2A09","mappings":{"default":{"default":"operador de N-Ary Times"}}},{"category":"Sm","key":"2A0A","mappings":{"default":{"default":"modulo dos sumas"}}},{"category":"Sm","key":"2A0B","mappings":{"default":{"default":"suma con Integral"}}},{"key":"2A0C","mappings":{"default":{"default":"operador integral cuádruple"}},"category":"Sm"},{"key":"2A0D","mappings":{"default":{"default":"finite part integral"}},"category":"Sm"},{"category":"Sm","key":"2A0E","mappings":{"default":{"default":"integral con Doble Trazo"}}},{"category":"Sm","key":"2A0F","mappings":{"default":{"default":"promedio Integral con Slash"}}},{"key":"2A10","mappings":{"default":{"default":"circulation function"}},"category":"Sm"},{"key":"2A11","mappings":{"default":{"default":"integral en sentido antihorario"}},"category":"Sm"},{"key":"2A12","mappings":{"default":{"default":"integral lineal para rectángulo en polo"}},"category":"Sm"},{"key":"2A13","mappings":{"default":{"default":"integral lineal para semicírculo en polo"}},"category":"Sm"},{"key":"2A14","mappings":{"default":{"default":"integral lineal excluyendo el polo"}},"category":"Sm"},{"key":"2A15","mappings":{"default":{"default":"integral en torno de un punto operador"}},"category":"Sm"},{"key":"2A16","mappings":{"default":{"default":"operador integral para cuaterniones"}},"category":"Sm"},{"category":"Sm","key":"2A18","mappings":{"default":{"default":"integral con Times Sign"}}},{"category":"Sm","key":"2A19","mappings":{"default":{"default":"integral con Intersección"}}},{"category":"Sm","key":"2A1A","mappings":{"default":{"default":"integral con union"}}},{"category":"Sm","key":"2A1B","mappings":{"default":{"default":"integral con Overbar"}}},{"category":"Sm","key":"2A1C","mappings":{"default":{"default":"integral con barra inferior"}}},{"category":"Sm","key":"2A1D","mappings":{"default":{"default":"unirse"}}},{"category":"Sm","key":"2A1E","mappings":{"default":{"default":"operador de triángulo izquierdo grande"}}},{"category":"Sm","key":"2A1F","mappings":{"default":{"default":"composición de esquemas de notación Z"}}},{"category":"Sm","key":"2A20","mappings":{"default":{"default":"esquema de notación Z"}}},{"category":"Sm","key":"2A21","mappings":{"default":{"default":"proyección del esquema de notación Z"}}},{"key":"2A22","mappings":{"default":{"default":"más con círculo"}},"category":"Sm"},{"key":"2A23","mappings":{"default":{"default":"más con ángulo"}},"category":"Sm"},{"key":"2A24","mappings":{"default":{"default":"tilde con más suscrito"}},"category":"Sm"},{"key":"2A25","mappings":{"default":{"default":"más con punto inferior"}},"category":"Sm"},{"key":"2A26","mappings":{"default":{"default":"tilde con más"}},"category":"Sm"},{"key":"2A27","mappings":{"default":{"default":"más con 2 suscrito"}},"category":"Sm"},{"category":"Sm","key":"2A28","mappings":{"default":{"default":"signo más con triángulo negro"}}},{"key":"2A29","mappings":{"default":{"default":"menos con coma"}},"category":"Sm"},{"key":"2A2A","mappings":{"default":{"default":"menos con punto inferior"}},"category":"Sm"},{"category":"Sm","key":"2A2B","mappings":{"default":{"default":"signo menos con puntos que caen"}}},{"category":"Sm","key":"2A2C","mappings":{"default":{"default":"signo menos con puntos crecientes"}}},{"key":"2A2D","mappings":{"default":{"default":"más en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A2E","mappings":{"default":{"default":"más en semicírculo derecho"}},"category":"Sm"},{"key":"2A2F","mappings":{"default":{"default":"producto vectorial"}},"category":"Sm"},{"key":"2A30","mappings":{"default":{"default":"por con punto"}},"category":"Sm"},{"key":"2A31","mappings":{"default":{"default":"por con subrayado"}},"category":"Sm"},{"category":"Sm","key":"2A32","mappings":{"default":{"default":"producto semidirecto con fondo cerrado"}}},{"key":"2A33","mappings":{"default":{"default":"smash product"}},"category":"Sm"},{"key":"2A34","mappings":{"default":{"default":"por en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A35","mappings":{"default":{"default":"por en semicírculo derecho"}},"category":"Sm"},{"key":"2A36","mappings":{"default":{"default":"por en círculo con ángulo"}},"category":"Sm"},{"key":"2A37","mappings":{"default":{"default":"por en anillo"}},"category":"Sm"},{"key":"2A38","mappings":{"default":{"default":"división en círculo"}},"category":"Sm"},{"key":"2A39","mappings":{"default":{"default":"más en triángulo"}},"category":"Sm"},{"key":"2A3A","mappings":{"default":{"default":"menos en triángulo"}},"category":"Sm"},{"key":"2A3B","mappings":{"default":{"default":"por en triángulo"}},"category":"Sm"},{"key":"2A3C","mappings":{"default":{"default":"producto interior"}},"category":"Sm"},{"category":"Sm","key":"2A3D","mappings":{"default":{"default":"producto interior derecho"}}},{"category":"Sm","key":"2A3E","mappings":{"default":{"default":"notación Z Composición Relacional"}}},{"key":"2A3F","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2A40","mappings":{"default":{"default":"intersección con punto"}},"category":"Sm"},{"category":"Sm","key":"2A41","mappings":{"default":{"default":"unión con signo de menos"}}},{"key":"2A42","mappings":{"default":{"default":"unión con barra"}},"category":"Sm"},{"key":"2A43","mappings":{"default":{"default":"intersección con barra"}},"category":"Sm"},{"key":"2A44","mappings":{"default":{"default":"intersección con and"}},"category":"Sm"},{"key":"2A45","mappings":{"default":{"default":"unión con or"}},"category":"Sm"},{"key":"2A46","mappings":{"default":{"default":"unión sobre intersección"}},"category":"Sm"},{"key":"2A47","mappings":{"default":{"default":"intersección sobre unión"}},"category":"Sm"},{"key":"2A48","mappings":{"default":{"default":"unión sobre barra, sobre intersección"}},"category":"Sm"},{"key":"2A49","mappings":{"default":{"default":"intersección sobre barra, sobre unión "}},"category":"Sm"},{"key":"2A4A","mappings":{"default":{"default":"unión y unión"}},"category":"Sm"},{"key":"2A4B","mappings":{"default":{"default":"intersección e intersección"}},"category":"Sm"},{"key":"2A4C","mappings":{"default":{"default":"unión cerrada"}},"category":"Sm"},{"key":"2A4D","mappings":{"default":{"default":"intersección cerrada"}},"category":"Sm"},{"category":"Sm","key":"2A4E","mappings":{"default":{"default":"intersección cuadrada doble"}}},{"category":"Sm","key":"2A4F","mappings":{"default":{"default":"unión cuadrada doble"}}},{"key":"2A50","mappings":{"default":{"default":"unión cerrada con por"}},"category":"Sm"},{"category":"Sm","key":"2A51","mappings":{"default":{"default":"lógico y con punto arriba."}}},{"category":"Sm","key":"2A52","mappings":{"default":{"default":"lógico o con punto arriba"}}},{"key":"2A53","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2A55","mappings":{"default":{"default":"two intersecting logical and"}},"category":"Sm"},{"key":"2A56","mappings":{"default":{"default":"two intersecting logical or"}},"category":"Sm"},{"key":"2A57","mappings":{"default":{"default":"sloping large or"}},"category":"Sm"},{"key":"2A58","mappings":{"default":{"default":"sloping large and"}},"category":"Sm"},{"category":"Sm","key":"2A59","mappings":{"default":{"default":"lógica o superpuesta, lógica y"}}},{"key":"2A5A","mappings":{"default":{"default":"logical and with middle stem"}},"category":"Sm"},{"key":"2A5B","mappings":{"default":{"default":"logical or with middle stem"}},"category":"Sm"},{"key":"2A5C","mappings":{"default":{"default":"logical and with horizontal dash"}},"category":"Sm"},{"key":"2A5D","mappings":{"default":{"default":"logical or with horizontal dash"}},"category":"Sm"},{"category":"Sm","key":"2A5E","mappings":{"default":{"default":"lógica y con doble Overbar"}}},{"key":"2A5F","mappings":{"default":{"default":"logical and with underbar"}},"category":"Sm"},{"category":"Sm","key":"2A60","mappings":{"default":{"default":"lógica y con doble barra inferior."}}},{"category":"Sm","key":"2A61","mappings":{"default":{"default":"pequeño Vee con Underbar"}}},{"category":"Sm","key":"2A62","mappings":{"default":{"default":"lógica o con doble barra."}}},{"category":"Sm","key":"2A63","mappings":{"default":{"default":"lógica o con doble barra inferior"}}},{"category":"Sm","key":"2A64","mappings":{"default":{"default":"notación Z Dominio Antirestricción"}}},{"category":"Sm","key":"2A65","mappings":{"default":{"default":"rango de notación Z Antirestricción"}}},{"key":"2A66","mappings":{"default":{"default":"igual con punto suscrito"}},"category":"Sm"},{"category":"Sm","key":"2A67","mappings":{"default":{"default":"idéntico con punto arriba"}}},{"category":"Sm","key":"2A68","mappings":{"default":{"default":"triple barra horizontal con doble movimiento vertical"}}},{"category":"Sm","key":"2A69","mappings":{"default":{"default":"triple barra horizontal con triple movimiento vertical"}}},{"key":"2A6A","mappings":{"default":{"default":"tilde con punto"}},"category":"Sm"},{"category":"Sm","key":"2A6B","mappings":{"default":{"default":"operador de tilde con puntos crecientes"}}},{"category":"Sm","key":"2A6C","mappings":{"default":{"default":"similares menos similares"}}},{"key":"2A6D","mappings":{"default":{"default":"congruente con punto"}},"category":"Sm"},{"category":"Sm","key":"2A6E","mappings":{"default":{"default":"igual a Asterisco"}}},{"key":"2A6F","mappings":{"default":{"default":"casi igual con ángulo"}},"category":"Sm"},{"category":"Sm","key":"2A70","mappings":{"default":{"default":"aproximadamente igual o igual a"}}},{"key":"2A71","mappings":{"default":{"default":"igual con más suscrito"}},"category":"Sm"},{"key":"2A72","mappings":{"default":{"default":"igual con más"}},"category":"Sm"},{"key":"2A73","mappings":{"default":{"default":"igual con operador tilde"}},"category":"Sm"},{"key":"2A74","mappings":{"default":{"default":"igual con dos puntos"}},"category":"Sm"},{"key":"2A75","mappings":{"default":{"default":"igual doble"}},"category":"Sm"},{"category":"Sm","key":"2A76","mappings":{"default":{"default":"tres signos de igualdad consecutivos"}}},{"key":"2A77","mappings":{"default":{"default":"igual entre cuatro puntos"}},"category":"Sm"},{"key":"2A78","mappings":{"default":{"default":"equivalente con cuatro puntos"}},"category":"Sm"},{"key":"2A79","mappings":{"default":{"default":"menor que con círculo interior"}},"category":"Sm"},{"key":"2A7A","mappings":{"default":{"default":"mayor que con círculo interior"}},"category":"Sm"},{"key":"2A7B","mappings":{"default":{"default":"menor que con interrogante"}},"category":"Sm"},{"key":"2A7C","mappings":{"default":{"default":"mayor que con interrogante"}},"category":"Sm"},{"key":"2A7D","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2A7E","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"2A7F","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A80","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A81","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A82","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"key":"2A83","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A84","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"category":"Sm","key":"2A85","mappings":{"default":{"default":"menor que o aproximado"}}},{"category":"Sm","key":"2A86","mappings":{"default":{"default":"mayor que o aproximado"}}},{"category":"Sm","key":"2A87","mappings":{"default":{"default":"menor que una línea no es igual a"}}},{"category":"Sm","key":"2A88","mappings":{"default":{"default":"mayores y una sola línea no son iguales a"}}},{"key":"2A89","mappings":{"default":{"default":"menor que, pero no aproximado a"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"mayor que, pero no aproximado a"}},"category":"Sm"},{"category":"Sm","key":"2A8B","mappings":{"default":{"default":"menos que arriba de la doble línea igual por encima de mayor que"}}},{"category":"Sm","key":"2A8C","mappings":{"default":{"default":"más que arriba de la línea doble igual sobre menos que"}}},{"key":"2A8D","mappings":{"default":{"default":"menor, similar o igual a"}},"category":"Sm"},{"key":"2A8E","mappings":{"default":{"default":"mayor, similar o igual a"}},"category":"Sm"},{"key":"2A8F","mappings":{"default":{"default":"menor, similar o mayor que"}},"category":"Sm"},{"key":"2A90","mappings":{"default":{"default":"mayor, similar o menor que"}},"category":"Sm"},{"key":"2A91","mappings":{"default":{"default":"menor, mayor o igual a"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"mayor, menor o igual a"}},"category":"Sm"},{"key":"2A93","mappings":{"default":{"default":"estrictamente menor o mayor que"}},"category":"Sm"},{"key":"2A94","mappings":{"default":{"default":"estrictamente mayor o menor que"}},"category":"Sm"},{"category":"Sm","key":"2A95","mappings":{"default":{"default":"inclinado igual o menor que"}}},{"category":"Sm","key":"2A96","mappings":{"default":{"default":"inclinado igual o mayor que"}}},{"key":"2A97","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A98","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A99","mappings":{"default":{"default":"menor o igual a"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"mayor o igual a"}},"category":"Sm"},{"category":"Sm","key":"2A9B","mappings":{"default":{"default":"doble línea inclinada igual o menor que"}}},{"category":"Sm","key":"2A9C","mappings":{"default":{"default":"doble línea inclinada igual o mayor que"}}},{"key":"2A9D","mappings":{"default":{"default":"equivalente o menor que"}},"category":"Sm"},{"key":"2A9E","mappings":{"default":{"default":"mayor o similar a"}},"category":"Sm"},{"key":"2A9F","mappings":{"default":{"default":"similar, menor o igual a"}},"category":"Sm"},{"key":"2AA0","mappings":{"default":{"default":"similar, mayor o igual a"}},"category":"Sm"},{"key":"2AA1","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"category":"Sm","key":"2AA3","mappings":{"default":{"default":"doble anidada menor que con barra inferior"}}},{"key":"2AA4","mappings":{"default":{"default":"menor que, mayor que"}},"category":"Sm"},{"key":"2AA5","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2AA6","mappings":{"default":{"default":"menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA7","mappings":{"default":{"default":"mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AA8","mappings":{"default":{"default":"estrictamente menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA9","mappings":{"default":{"default":"estrictamente mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AAA","mappings":{"default":{"default":"más reducido que"}},"category":"Sm"},{"key":"2AAB","mappings":{"default":{"default":"más amplio que"}},"category":"Sm"},{"key":"2AAC","mappings":{"default":{"default":"más reducido o igual a"}},"category":"Sm"},{"key":"2AAD","mappings":{"default":{"default":"más amplio o igual a"}},"category":"Sm"},{"key":"2AAE","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2AAF","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"category":"Sm","key":"2AB0","mappings":{"default":{"default":"sucede por encima de la línea de igual signo"}}},{"category":"Sm","key":"2AB1","mappings":{"default":{"default":"precede por encima de una línea no es igual a"}}},{"category":"Sm","key":"2AB2","mappings":{"default":{"default":"tiene éxito por encima de una línea no es igual a"}}},{"category":"Sm","key":"2AB3","mappings":{"default":{"default":"precede arriba del signo igual"}}},{"category":"Sm","key":"2AB4","mappings":{"default":{"default":"sucede por encima del signo igual"}}},{"key":"2AB5","mappings":{"default":{"default":"precede estrictamente a"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"sigue estrictamente a"}},"category":"Sm"},{"category":"Sm","key":"2AB7","mappings":{"default":{"default":"precede por encima de casi igual a"}}},{"category":"Sm","key":"2AB8","mappings":{"default":{"default":"tiene éxito por encima de casi igual a"}}},{"category":"Sm","key":"2AB9","mappings":{"default":{"default":"precede arriba no es igual a"}}},{"category":"Sm","key":"2ABA","mappings":{"default":{"default":"tiene éxito por encima de no casi igual a"}}},{"key":"2ABB","mappings":{"default":{"default":"precede mucho antes"}},"category":"Sm"},{"key":"2ABC","mappings":{"default":{"default":"sigue mucho después"}},"category":"Sm"},{"key":"2ABD","mappings":{"default":{"default":"subrelación de"}},"category":"Sm"},{"key":"2ABE","mappings":{"default":{"default":"contiene como subrelación a"}},"category":"Sm"},{"key":"2ABF","mappings":{"default":{"default":"incluido con más suscrito"}},"category":"Sm"},{"key":"2AC0","mappings":{"default":{"default":"contiene con más suscrito"}},"category":"Sm"},{"key":"2AC1","mappings":{"default":{"default":"incluido con por suscrito"}},"category":"Sm"},{"key":"2AC2","mappings":{"default":{"default":"contiene con por suscrito"}},"category":"Sm"},{"key":"2AC3","mappings":{"default":{"default":"incluido con punto o es igual a"}},"category":"Sm"},{"key":"2AC4","mappings":{"default":{"default":"contiene con punto o es igual a"}},"category":"Sm"},{"category":"Sm","key":"2AC5","mappings":{"default":{"default":"subconjunto de signo igual arriba"}}},{"category":"Sm","key":"2AC6","mappings":{"default":{"default":"superconjunto de signo igual arriba"}}},{"key":"2AC7","mappings":{"default":{"default":"incluido aproximadamente en"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"contiene aproximadamente a"}},"category":"Sm"},{"category":"Sm","key":"2AC9","mappings":{"default":{"default":"subconjunto de Arriba Casi Igual a"}}},{"category":"Sm","key":"2ACA","mappings":{"default":{"default":"superconjunto de arriba casi igual a"}}},{"category":"Sm","key":"2ACB","mappings":{"default":{"default":"subconjunto de lo anterior no es igual a"}}},{"category":"Sm","key":"2ACC","mappings":{"default":{"default":"superconjunto de arriba no es igual a"}}},{"category":"Sm","key":"2ACD","mappings":{"default":{"default":"operador de caja abierta a la izquierda cuadrada"}}},{"category":"Sm","key":"2ACE","mappings":{"default":{"default":"operador de caja abierta a la derecha cuadrada"}}},{"key":"2ACF","mappings":{"default":{"default":"incluido con cierre en"}},"category":"Sm"},{"key":"2AD0","mappings":{"default":{"default":"contiene al cierre del subconjunto"}},"category":"Sm"},{"key":"2AD1","mappings":{"default":{"default":"incluido el cierre o es igual a"}},"category":"Sm"},{"key":"2AD2","mappings":{"default":{"default":"contiene al cierre del subconjunto o es igual a"}},"category":"Sm"},{"key":"2AD3","mappings":{"default":{"default":"está incluido o contiene a"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"incluido doblemente en"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"contiene doblemente a"}},"category":"Sm"},{"key":"2AD7","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD8","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD9","mappings":{"default":{"default":"perteneciente dirigido hacia abajo"}},"category":"Sm"},{"key":"2ADA","mappings":{"default":{"default":"pitchfork with tee top"}},"category":"Sm"},{"key":"2ADB","mappings":{"default":{"default":"transversal intersection"}},"category":"Sm"},{"category":"Sm","key":"2ADC","mappings":{"default":{"default":"bifurcación"}}},{"category":"Sm","key":"2ADD","mappings":{"default":{"default":"nonforking"}}},{"category":"Sm","key":"2ADE","mappings":{"default":{"default":"tachuela Izquierda Corta"}}},{"category":"Sm","key":"2ADF","mappings":{"default":{"default":"tachuela corta hacia abajo"}}},{"category":"Sm","key":"2AE0","mappings":{"default":{"default":"short Up Tack"}}},{"category":"Sm","key":"2AE1","mappings":{"default":{"default":"perpendicular con s"}}},{"category":"Sm","key":"2AE2","mappings":{"default":{"default":"barra vertical Torniquete a la derecha"}}},{"category":"Sm","key":"2AE3","mappings":{"default":{"default":"barra vertical doble Torniquete izquierdo"}}},{"key":"2AE4","mappings":{"default":{"default":"double left turnstile vertical bar"}},"category":"Sm"},{"category":"Sm","key":"2AE5","mappings":{"default":{"default":"doble barra vertical doble torniquete izquierdo"}}},{"key":"2AE6","mappings":{"default":{"default":"long dash from left member of double vertical"}},"category":"Sm"},{"key":"2AE7","mappings":{"default":{"default":"short down tack with overbar"}},"category":"Sm"},{"key":"2AE8","mappings":{"default":{"default":"barra con perpendicular"}},"category":"Sm"},{"key":"2AE9","mappings":{"default":{"default":"short up tack above short down tack"}},"category":"Sm"},{"category":"Sm","key":"2AEA","mappings":{"default":{"default":"tachuela doble"}}},{"key":"2AEB","mappings":{"default":{"default":"double up tack"}},"category":"Sm"},{"key":"2AEC","mappings":{"default":{"default":"double stroke not sign"}},"category":"Sm"},{"key":"2AED","mappings":{"default":{"default":"reversed double stroke not sign"}},"category":"Sm"},{"key":"2AEE","mappings":{"default":{"default":"does not divide with reversed negation slash"}},"category":"Sm"},{"key":"2AEF","mappings":{"default":{"default":"barra vertical con círculo"}},"category":"Sm"},{"key":"2AF0","mappings":{"default":{"default":"barra con círculo inferior"}},"category":"Sm"},{"key":"2AF1","mappings":{"default":{"default":"down tack with circle below"}},"category":"Sm"},{"key":"2AF2","mappings":{"default":{"default":"paralela con marca"}},"category":"Sm"},{"key":"2AF3","mappings":{"default":{"default":"paralela con tilde"}},"category":"Sm"},{"category":"Sm","key":"2AF4","mappings":{"default":{"default":"relación binaria de barra vertical triple"}}},{"category":"Sm","key":"2AF5","mappings":{"default":{"default":"barra vertical triple con trazo horizontal"}}},{"category":"Sm","key":"2AF6","mappings":{"default":{"default":"operador Triple Colon"}}},{"category":"Sm","key":"2AF7","mappings":{"default":{"default":"triple anidada menos que"}}},{"category":"Sm","key":"2AF8","mappings":{"default":{"default":"triple anidado mayor que"}}},{"category":"Sm","key":"2AF9","mappings":{"default":{"default":"doble línea inclinada menor o igual a"}}},{"category":"Sm","key":"2AFA","mappings":{"default":{"default":"doble línea inclinada mayor o igual a"}}},{"category":"Sm","key":"2AFB","mappings":{"default":{"default":"relación Binaria Triple Sólida"}}},{"category":"Sm","key":"2AFC","mappings":{"default":{"default":"operador de barra vertical triple grande"}}},{"category":"Sm","key":"2AFD","mappings":{"default":{"default":"operador Doble Sólido"}}},{"category":"Sm","key":"2AFE","mappings":{"default":{"default":"barra vertical blanca"}}},{"category":"Sm","key":"2AFF","mappings":{"default":{"default":"barra vertical blanca N-Ary"}}},{"category":"Pd","key":"301C","mappings":{"default":{"default":"wave Dash"}}},{"category":"Po","key":"FE10","mappings":{"default":{"default":"formulario de presentación para coma vertical"}}},{"category":"Po","key":"FE13","mappings":{"default":{"default":"formulario de presentación para colon vertical"}}},{"category":"Po","key":"FE14","mappings":{"default":{"default":"formulario de presentación para punto y coma vertical"}}},{"category":"Po","key":"FE15","mappings":{"default":{"default":"formulario de presentación para el signo de exclamación vertical"}}},{"category":"Po","key":"FE16","mappings":{"default":{"default":"formulario de presentación para el signo de interrogación vertical"}}},{"category":"Po","key":"FE19","mappings":{"default":{"default":"formulario de presentación para elipsis horizontal vertical"}}},{"category":"Po","key":"FE30","mappings":{"default":{"default":"formulario de presentación para líder vertical de dos puntos"}}},{"category":"Pd","key":"FE31","mappings":{"default":{"default":"formulario de presentación para Vertical Em Dash"}}},{"category":"Pd","key":"FE32","mappings":{"default":{"default":"formulario de presentación para Vertical En Dash"}}},{"category":"Pc","key":"FE33","mappings":{"default":{"default":"formulario de presentación para línea vertical baja"}}},{"category":"Pc","key":"FE34","mappings":{"default":{"default":"formulario de presentación para línea baja ondulada vertical"}}},{"category":"Po","key":"FE45","mappings":{"default":{"default":"punto de sésamo"}}},{"category":"Po","key":"FE46","mappings":{"default":{"default":"punto de sésamo blanco"}}},{"category":"Po","key":"FE49","mappings":{"default":{"default":"línea discontinua"}}},{"category":"Po","key":"FE4A","mappings":{"default":{"default":"centinela Overline"}}},{"category":"Po","key":"FE4B","mappings":{"default":{"default":"ondulado Overline"}}},{"category":"Po","key":"FE4C","mappings":{"default":{"default":"doble Ondulado Ondulado"}}},{"category":"Pc","key":"FE4D","mappings":{"default":{"default":"línea baja discontinua"}}},{"category":"Pc","key":"FE4E","mappings":{"default":{"default":"línea baja de línea central"}}},{"category":"Pc","key":"FE4F","mappings":{"default":{"default":"línea baja ondulada"}}},{"category":"Po","key":"FE50","mappings":{"default":{"default":"comas pequeñas"}}},{"category":"Po","key":"FE52","mappings":{"default":{"default":"parada completa pequeña"}}},{"category":"Po","key":"FE54","mappings":{"default":{"default":"pequeño punto y coma"}}},{"category":"Po","key":"FE55","mappings":{"default":{"default":"pequeño colon"}}},{"category":"Po","key":"FE56","mappings":{"default":{"default":"pequeño signo de interrogación"}}},{"category":"Po","key":"FE57","mappings":{"default":{"default":"pequeño signo de exclamación"}}},{"category":"Pd","key":"FE58","mappings":{"default":{"default":"pequeño Em Dash"}}},{"category":"Po","key":"FE5F","mappings":{"default":{"default":"signo de número pequeño"}}},{"category":"Po","key":"FE60","mappings":{"default":{"default":"ampersand pequeño"}}},{"category":"Po","key":"FE61","mappings":{"default":{"default":"pequeño asterisco"}}},{"category":"Sm","key":"FE62","mappings":{"default":{"default":"signo más pequeño"}}},{"category":"Pd","key":"FE63","mappings":{"default":{"default":"pequeño guión-menos"}}},{"category":"Sm","key":"FE64","mappings":{"default":{"default":"signo menor que pequeño"}}},{"category":"Sm","key":"FE65","mappings":{"default":{"default":"signo mayor que pequeño"}}},{"category":"Sm","key":"FE66","mappings":{"default":{"default":"signo pequeño igual"}}},{"key":"FE68","mappings":{"default":{"default":"división entera"}},"category":"Po"},{"category":"Sc","key":"FE69","mappings":{"default":{"default":"pequeño signo de dólar"}}},{"category":"Po","key":"FE6A","mappings":{"default":{"default":"signo de porcentaje pequeño"}}},{"category":"Po","key":"FE6B","mappings":{"default":{"default":"pequeño comercial en"}}},{"category":"Po","key":"FF01","mappings":{"default":{"default":"signo de exclamación de ancho completo"}}},{"category":"Po","key":"FF02","mappings":{"default":{"default":"comillas de ancho completo"}}},{"category":"Po","key":"FF03","mappings":{"default":{"default":"número de signo de ancho completo"}}},{"category":"Sc","key":"FF04","mappings":{"default":{"default":"signo de dólar de ancho completo"}}},{"category":"Po","key":"FF05","mappings":{"default":{"default":"signo de porcentaje de ancho completo"}}},{"category":"Po","key":"FF06","mappings":{"default":{"default":"ampersand de ancho completo"}}},{"category":"Po","key":"FF07","mappings":{"default":{"default":"apóstrofe de ancho completo"}}},{"category":"Po","key":"FF0A","mappings":{"default":{"default":"asterisco de ancho completo"}}},{"category":"Sm","key":"FF0B","mappings":{"default":{"default":"signo de ancho completo"}}},{"category":"Po","key":"FF0C","mappings":{"default":{"default":"coma de ancho completo"}}},{"category":"Pd","key":"FF0D","mappings":{"default":{"default":"ancho de ancho completo"}}},{"category":"Po","key":"FF0E","mappings":{"default":{"default":"fullwidth Full Stop"}}},{"category":"Po","key":"FF0F","mappings":{"default":{"default":"sólido de ancho completo"}}},{"category":"Po","key":"FF1A","mappings":{"default":{"default":"ancho completo de colon"}}},{"category":"Po","key":"FF1B","mappings":{"default":{"default":"punto y coma de ancho completo"}}},{"category":"Sm","key":"FF1C","mappings":{"default":{"default":"ancho completo menos de la señal"}}},{"category":"Sm","key":"FF1D","mappings":{"default":{"default":"signo de igual ancho completo"}}},{"category":"Sm","key":"FF1E","mappings":{"default":{"default":"ancho completo mayor que el signo"}}},{"category":"Po","key":"FF1F","mappings":{"default":{"default":"signo de interrogación de ancho completo"}}},{"category":"Po","key":"FF20","mappings":{"default":{"default":"comercial de ancho completo en"}}},{"category":"Po","key":"FF3C","mappings":{"default":{"default":"sólido inverso de ancho completo"}}},{"category":"Sk","key":"FF3E","mappings":{"default":{"default":"acento circunflejo de ancho completo"}}},{"category":"Pc","key":"FF3F","mappings":{"default":{"default":"línea baja de ancho completo"}}},{"category":"Sk","key":"FF40","mappings":{"default":{"default":"acento grave de ancho completo"}}},{"key":"FF5C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"},{"category":"Sm","key":"FF5E","mappings":{"default":{"default":"tilde de ancho completo"}}},{"category":"Sc","key":"FFE0","mappings":{"default":{"default":"signo de centavo de ancho completo"}}},{"category":"Sc","key":"FFE1","mappings":{"default":{"default":"signo de libra de ancho completo"}}},{"category":"Sm","key":"FFE2","mappings":{"default":{"default":"fullwidth no firmar"}}},{"category":"Sk","key":"FFE3","mappings":{"default":{"default":"ancho completo macron"}}},{"category":"So","key":"FFE4","mappings":{"default":{"default":"barra rota de ancho completo"}}},{"category":"Sc","key":"FFE5","mappings":{"default":{"default":"signo de yen de ancho completo"}}},{"category":"Sc","key":"FFE6","mappings":{"default":{"default":"signo de ancho completo ganado"}}},{"category":"So","key":"FFE8","mappings":{"default":{"default":"formas de ancho medio luz vertical"}}},{"category":"So","key":"FFED","mappings":{"default":{"default":"medio ancho cuadrado negro"}}},{"category":"So","key":"FFEE","mappings":{"default":{"default":"círculo blanco de medio ancho"}}}]
+,
+"es/symbols/math_whitespace.js": 
+[{"locale":"es"},{"category":"Zs","key":"0020","mappings":{"default":{"default":"espacio"}}},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"guión corto"}},"category":"Cf"},{"category":"Zs","key":"2000","mappings":{"default":{"default":"en quad"}}},{"category":"Zs","key":"2001","mappings":{"default":{"default":"em Quad"}}},{"key":"2002","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2004","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2005","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Zs","key":"2006","mappings":{"default":{"default":"espacio Six-Per-Em"}}},{"key":"2007","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2008","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"200C","mappings":{"default":{"default":"ancho de cero no ensamblador"}},"category":"Cf"},{"key":"200D","mappings":{"default":{"default":"ancho de cero ensamblador"}},"category":"Cf"},{"key":"200E","mappings":{"default":{"default":"marca de izquierda a derecha"}},"category":"Cf"},{"key":"200F","mappings":{"default":{"default":"marca de derecha a izquierda"}},"category":"Cf"},{"category":"Zl","key":"2028","mappings":{"default":{"default":"separador de linea"}}},{"category":"Zp","key":"2029","mappings":{"default":{"default":"separador de párrafo"}}},{"category":"Cf","key":"202A","mappings":{"default":{"default":"incrustación de izquierda a derecha"}}},{"category":"Cf","key":"202B","mappings":{"default":{"default":"incrustación de derecha a izquierda"}}},{"category":"Cf","key":"202C","mappings":{"default":{"default":"formato direccional pop"}}},{"category":"Cf","key":"202D","mappings":{"default":{"default":"anulación de izquierda a derecha"}}},{"category":"Cf","key":"202E","mappings":{"default":{"default":"anulación de derecha a izquierda"}}},{"category":"Zs","key":"202F","mappings":{"default":{"default":"espacio estrecho sin descanso"}}},{"key":"205F","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2060","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"2061","mappings":{"default":{"default":"de"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":"por"}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":"coma"}},"category":"Cf"},{"key":"2064","mappings":{"default":{"default":"más"}},"category":"Cf"},{"category":"Cf","key":"206A","mappings":{"default":{"default":"inhibir el intercambio simétrico"}}},{"category":"Cf","key":"206B","mappings":{"default":{"default":"activar el intercambio simétrico"}}},{"category":"Cf","key":"206E","mappings":{"default":{"default":"formas de dígitos nacionales"}}},{"category":"Cf","key":"206F","mappings":{"default":{"default":"formas de dígitos nominales"}}},{"key":"FEFF","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"FFF9","mappings":{"default":{"default":"ancla de anotación interlinear"}}},{"category":"Cf","key":"FFFA","mappings":{"default":{"default":"separador de anotación interlinear"}}},{"category":"Cf","key":"FFFB","mappings":{"default":{"default":"terminador de anotación interlinear"}}}]
+,
+"es/symbols/other_stars.js": 
+[{"locale":"es"},{"category":"So","key":"23E8","mappings":{"default":{"default":"símbolo exponente decimal"}}},{"key":"2605","mappings":{"default":{"default":"estrella rellena"}},"category":"So"},{"key":"2606","mappings":{"default":{"default":"estrella vacía"}},"category":"So"},{"category":"So","key":"26AA","mappings":{"default":{"default":"círculo blanco medio"}}},{"category":"So","key":"26AB","mappings":{"default":{"default":"círculo negro medio"}}},{"category":"So","key":"2705","mappings":{"default":{"default":"marca de verificación pesada blanca"}}},{"key":"2713","mappings":{"default":{"default":"check mark"}},"category":"So"},{"category":"So","key":"2714","mappings":{"default":{"default":"marca de verificación pesada"}}},{"category":"So","key":"2715","mappings":{"default":{"default":"multiplicación x"}}},{"category":"So","key":"2716","mappings":{"default":{"default":"multiplicación pesada X"}}},{"key":"2717","mappings":{"default":{"default":"ballot x"}},"category":"So"},{"category":"So","key":"2718","mappings":{"default":{"default":"boleta pesada X"}}},{"category":"So","key":"271B","mappings":{"default":{"default":"centro abierto de la cruz"}}},{"category":"So","key":"271C","mappings":{"default":{"default":"pesado centro abierto cruz"}}},{"key":"2720","mappings":{"default":{"default":"cruz de Malta"}},"category":"So"},{"category":"So","key":"2721","mappings":{"default":{"default":"estrella de David"}}},{"category":"So","key":"2722","mappings":{"default":{"default":"cuatro asterisco de lágrima"}}},{"category":"So","key":"2723","mappings":{"default":{"default":"cuatro asterisco de globo"}}},{"category":"So","key":"2724","mappings":{"default":{"default":"pesado Cuatro asterisco impulsado por globo"}}},{"category":"So","key":"2725","mappings":{"default":{"default":"cuatro asterisco de club-spoked"}}},{"category":"So","key":"2726","mappings":{"default":{"default":"estrella de cuatro puntas negra"}}},{"category":"So","key":"2727","mappings":{"default":{"default":"estrella blanca de cuatro puntas"}}},{"category":"So","key":"2728","mappings":{"default":{"default":"destellos"}}},{"category":"So","key":"2729","mappings":{"default":{"default":"estrés subrayado estrella blanca"}}},{"category":"So","key":"272A","mappings":{"default":{"default":"estrella blanca circulada"}}},{"category":"So","key":"272B","mappings":{"default":{"default":"centro Abierto Estrella Negra"}}},{"category":"So","key":"272C","mappings":{"default":{"default":"centro negro estrella blanca"}}},{"category":"So","key":"272D","mappings":{"default":{"default":"contorneado negro estrella"}}},{"category":"So","key":"272E","mappings":{"default":{"default":"estrella negra contorneada pesada"}}},{"category":"So","key":"272F","mappings":{"default":{"default":"pinwheel Star"}}},{"category":"So","key":"2730","mappings":{"default":{"default":"estrella blanca sombreada"}}},{"category":"So","key":"2731","mappings":{"default":{"default":"asterisco pesado"}}},{"category":"So","key":"2732","mappings":{"default":{"default":"centro abierto de asterisco"}}},{"category":"So","key":"2733","mappings":{"default":{"default":"ocho asterisco hablado"}}},{"category":"So","key":"2734","mappings":{"default":{"default":"ocho estrellas negras puntiagudas"}}},{"category":"So","key":"2735","mappings":{"default":{"default":"ocho estrellas de molinete en punta"}}},{"key":"2736","mappings":{"default":{"default":"estrella rellena de seis puntas"}},"category":"So"},{"category":"So","key":"2739","mappings":{"default":{"default":"doce estrellas negras puntiagudas"}}},{"category":"So","key":"273A","mappings":{"default":{"default":"dieciséis asteriscos en punta"}}},{"category":"So","key":"273B","mappings":{"default":{"default":"asterisco con efecto de lágrima"}}},{"category":"So","key":"273C","mappings":{"default":{"default":"centro abierto con asterisco con forma de lágrima"}}},{"key":"273D","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"category":"So"},{"category":"So","key":"273E","mappings":{"default":{"default":"seis pétalos de florette en blanco y negro"}}},{"category":"So","key":"273F","mappings":{"default":{"default":"florette negro"}}},{"category":"So","key":"2740","mappings":{"default":{"default":"florette blanco"}}},{"category":"So","key":"2741","mappings":{"default":{"default":"ocho Petalled Outlined Black Florette"}}},{"category":"So","key":"2742","mappings":{"default":{"default":"círculo abierto centro ocho estrellas señaladas"}}},{"category":"So","key":"2743","mappings":{"default":{"default":"asterisco pesado del molinillo de viento"}}},{"category":"So","key":"2744","mappings":{"default":{"default":"copo de nieve"}}},{"category":"So","key":"2745","mappings":{"default":{"default":"copo de nieve trifolio apretado"}}},{"category":"So","key":"2746","mappings":{"default":{"default":"copo de nieve pesado de Chevron"}}},{"category":"So","key":"2747","mappings":{"default":{"default":"brillar"}}},{"category":"So","key":"2748","mappings":{"default":{"default":"chispa pesada"}}},{"category":"So","key":"2749","mappings":{"default":{"default":"asterisco de globo"}}},{"category":"So","key":"274A","mappings":{"default":{"default":"ocho asterisco de hélice con efecto de lágrima"}}},{"category":"So","key":"274B","mappings":{"default":{"default":"heavy eight asterisk de hélice en forma de lágrima"}}},{"category":"So","key":"274C","mappings":{"default":{"default":"marca de la cruz"}}},{"category":"So","key":"274D","mappings":{"default":{"default":"círculo blanco sombreado"}}}]
+,
+"es/units/energy.js": 
+[{"locale":"es"},{"key":"W","names":["W","w"],"mappings":{"default":{"default":"watt"}},"category":"energy"},{"key":"kW","names":["kw","kW"],"mappings":{"default":{"default":"kilowatt"}},"category":"energy"},{"key":"mW","names":["mw","mW"],"mappings":{"default":{"default":"miliwatt"}},"category":"energy"},{"key":"kwh","names":["kwh","kWh"],"mappings":{"default":{"default":"kilowatt hora"}},"category":"energy"},{"key":"J","names":["J"],"mappings":{"default":{"default":"Joule"}},"category":"energy"},{"key":"N","names":["N"],"mappings":{"default":{"default":"Newton"}},"category":"energy"},{"key":"A","names":["A"],"mappings":{"default":{"default":"Ampere"}},"category":"energy"},{"key":"V","names":["V"],"mappings":{"default":{"default":"Voltio"}},"category":"energy"},{"key":"µΩ","names":["µΩ"],"mappings":{"default":{"default":"microohmio"}},"category":"energy"},{"key":"mΩ","names":["mΩ"],"mappings":{"default":{"default":"miliohmio"}},"category":"energy"},{"key":"Ω","names":["Ω","Ohm"],"mappings":{"default":{"default":"ohmio"}},"category":"energy"},{"key":"kΩ","names":["kΩ","KΩ"],"mappings":{"default":{"default":"kiloohmio"}},"category":"energy"},{"key":"MΩ","names":["MΩ"],"mappings":{"default":{"default":"megaohmio"}},"category":"energy"},{"key":"GΩ","names":["GΩ"],"mappings":{"default":{"default":"gigaohmio"}},"category":"energy"}]
+,
+"es/units/length.js": 
+[{"locale":"es"},{"key":"mm","names":["mm"],"mappings":{"default":{"default":"milímetro"}},"category":"length"},{"key":"cm","names":["cm"],"mappings":{"default":{"default":"centímetro"}},"category":"length"},{"key":"m","names":["m"],"mappings":{"default":{"default":"metro"}},"category":"length"},{"key":"km","names":["km"],"mappings":{"default":{"default":"kilómetro"}},"category":"length"},{"key":"ft","names":["ft","ft."],"mappings":{"default":{"default":"pies"}},"category":"length"},{"key":"in","names":["in","in."],"mappings":{"default":{"default":"pulgada"}},"category":"length"},{"key":"mi","names":["mi","mi."],"mappings":{"default":{"default":"milla"}},"category":"length"},{"key":"yd","names":["yd","yd."],"mappings":{"default":{"default":"yarda"}},"category":"length"},{"key":"n.m.","names":["n.m."],"mappings":{"default":{"default":"millas náuticas"}},"category":"length"}]
+,
+"es/units/memory.js": 
+[{"locale":"es"},{"key":"b","names":["b"],"mappings":{"default":{"default":"bit"}},"category":"memory"},{"key":"B","names":["B"],"mappings":{"default":{"default":"byte"}},"category":"memory"},{"key":"KB","names":["KB"],"mappings":{"default":{"default":"kilobyte"}},"category":"memory"},{"key":"MB","names":["MB"],"mappings":{"default":{"default":"megabyte"}},"category":"memory"},{"key":"GB","names":["GB"],"mappings":{"default":{"default":"gigabyte"}},"category":"memory"},{"key":"TB","names":["TB"],"mappings":{"default":{"default":"terabyte"}},"category":"memory"}]
+,
+"es/units/other.js": 
+[{"locale":"es"},{"key":"doz","names":["doz","doz.","dz","dz."],"mappings":{"default":{"default":"docena"}},"category":"other"},{"key":"sq","names":["sq","sq."],"mappings":{"default":{"default":"al cuadrado"}},"category":"other"},{"key":"ha","names":["ha"],"mappings":{"default":{"default":"hectarea"}},"category":"other"}]
+,
+"es/units/speed.js": 
+[{"locale":"es"},{"key":"kt","names":["kt","kt."],"mappings":{"default":{"default":"nudo"}},"category":"speed"},{"key":"mph","names":["mph"],"mappings":{"default":{"default":"millas por hora"}},"category":"speed"},{"key":"rpm","names":["rpm"],"mappings":{"default":{"default":"revoluciones por minuto"}},"category":"speed"},{"key":"kmh","names":["kmh"],"mappings":{"default":{"default":"kilómetros por hora"}},"category":"speed"}]
+,
+"es/units/temperature.js": 
+[{"locale":"es"},{"key":"F","names":["F","F.","°F"],"mappings":{"default":{"default":"Fahrenheit"}},"category":"temperature"},{"key":"C","names":["C","°C"],"mappings":{"default":{"default":"centígrados"}},"category":"temperature"},{"key":"K","names":["K","°K"],"mappings":{"default":{"default":"Kelvin"}},"category":"temperature"}]
+,
+"es/units/time.js": 
+[{"locale":"es"},{"key":"ns","names":["ns"],"mappings":{"default":{"default":"nanosegundos"}},"category":"time"},{"key":"µs","names":["µs"],"mappings":{"default":{"default":"microsegundos"}},"category":"time"},{"key":"ms","names":["ms"],"mappings":{"default":{"default":"milisegundos"}},"category":"time"},{"key":"s","names":["s"],"mappings":{"default":{"default":"segundos"}},"category":"time"},{"key":"min","names":["min"],"mappings":{"default":{"default":"minutos"}},"category":"time"},{"key":"h","names":["h","hr"],"mappings":{"default":{"default":"hora"}},"category":"time"}]
+,
+"es/units/volume.js": 
+[{"locale":"es"},{"key":"bbl","names":["bbl.","bbl"],"mappings":{"default":{"default":"barrile"}},"category":"volume"},{"key":"cu","names":["cu","cu."],"mappings":{"default":{"default":"cúbico"}},"category":"volume"},{"key":"fl. oz.","names":["fl. oz."],"mappings":{"default":{"default":"onzas líquidas"}},"category":"volume"},{"key":"gal","names":["gal","gal."],"mappings":{"default":{"default":"galone"}},"category":"volume"},{"key":"pt","names":["pt","pt."],"mappings":{"default":{"default":"pinta"}},"category":"volume"},{"key":"qt","names":["qt","qt."],"mappings":{"default":{"default":"quart"}},"category":"volume"},{"key":"tbsp","names":["tbsp","tbsp."],"mappings":{"default":{"default":"cuchara"}},"category":"volume"},{"key":"tsp","names":["tsp","tsp."],"mappings":{"default":{"default":"cucharilla"}},"category":"volume"},{"key":"cc","names":["cc"],"mappings":{"default":{"default":"centímetros cúbicos"}},"category":"volume"},{"key":"kl","names":["kl"],"mappings":{"default":{"default":"kilolitro"}},"category":"volume"},{"key":"l","names":["l"],"mappings":{"default":{"default":"litro"}},"category":"volume"},{"key":"ml","names":["ml"],"mappings":{"default":{"default":"mililitro"}},"category":"volume"}]
+,
+"es/units/weight.js": 
+[{"locale":"es"},{"key":"lb","names":["lb","lb."],"mappings":{"default":{"default":"libra"}},"category":"weight"},{"key":"LT","names":["LT","L.T."],"mappings":{"default":{"default":"libras imperiales"}},"category":"weight"},{"key":"oz","names":["oz","oz."],"mappings":{"default":{"default":"onza"}},"category":"weight"},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"microgramo"}},"category":"weight"},{"key":"gr","names":["g","gr"],"mappings":{"default":{"default":"gramo"}},"category":"weight"},{"key":"kg","names":["kg"],"mappings":{"default":{"default":"kilogramo"}},"category":"weight"},{"key":"mg","names":["mg"],"mappings":{"default":{"default":"miligramo"}},"category":"weight"},{"key":"t","names":["t","T"],"mappings":{"default":{"default":"tonelada"}},"category":"weight"}]
+}
+
diff --git a/unpacked/extensions/a11y/mathmaps/es/functions/algebra.js b/unpacked/extensions/a11y/mathmaps/es/functions/algebra.js
deleted file mode 100644
index 96cfc372a2..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/functions/algebra.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"deg","names":["deg"],"mappings":{"default":{"default":"grados"}},"category":"Algebra"},{"key":"det","names":["det"],"mappings":{"default":{"default":"determinante"}},"category":"Algebra"},{"key":"dim","names":["dim"],"mappings":{"default":{"default":"dimensión"}},"category":"Algebra"},{"key":"hom","names":["hom","Hom"],"mappings":{"default":{"default":"homomorfismo"}},"category":"Algebra"},{"key":"ker","names":["ker"],"mappings":{"default":{"default":"kernel"}},"category":"Algebra"},{"key":"Tr","names":["Tr","tr"],"mappings":{"default":{"default":"traza"}},"category":"Algebra"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/functions/elementary.js b/unpacked/extensions/a11y/mathmaps/es/functions/elementary.js
deleted file mode 100644
index 30c0978e88..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/functions/elementary.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"log","names":["log"],"mappings":{"default":{"default":"logaritmo"}},"category":"Logarithm"},{"key":"ln","names":["ln"],"mappings":{"default":{"default":"logaritmo neperiano"}},"category":"Logarithm"},{"key":"lg","names":["lg"],"mappings":{"default":{"default":"logaritmo base 10"}},"category":"Logarithm"},{"key":"exp","names":["exp","expt"],"mappings":{"default":{"default":"exponente"}},"category":"Elementary"},{"key":"gcd","names":["gcd"],"mappings":{"default":{"default":"MCD"}},"category":"Elementary"},{"key":"lcm","names":["lcm"],"mappings":{"default":{"default":"mcm"}},"category":"Elementary"},{"key":"arg","names":["arg"],"mappings":{"default":{"default":"argumento"}},"category":"Complex"},{"key":"im","names":["im"],"mappings":{"default":{"default":"parte imaginaria"}},"category":"Complex"},{"key":"re","names":["re"],"mappings":{"default":{"default":"residuo"}},"category":"Complex"},{"key":"inf","names":["inf"],"mappings":{"default":{"default":"extremo inferior"}},"category":"Limits"},{"key":"lim","names":["lim"],"mappings":{"default":{"default":"límite"}},"category":"Limits"},{"key":"max","names":["max"],"mappings":{"default":{"default":"máximo"}},"category":"Limits"},{"key":"min","names":["min"],"mappings":{"default":{"default":"mínimo"}},"category":"Limits"},{"key":"sup","names":["sup"],"mappings":{"default":{"default":"superior"}},"category":"Limits"},{"key":"lim inf","names":["lim inf","liminf"],"mappings":{"default":{"default":"límite inferior"}},"category":"Limits"},{"key":"lim sup","names":["lim sup","limsup"],"mappings":{"default":{"default":"límite superior"}},"category":"Limits"},{"key":"injlim","names":["injlim","inj lim"],"mappings":{"default":{"default":"límite directo"}},"category":"Limits"},{"key":"projlim","names":["projlim","proj lim"],"mappings":{"default":{"default":"límite inverso"}},"category":"Limits"},{"key":"mod","names":["mod"],"mappings":{"default":{"default":"módulo"}},"category":"Elementary"},{"key":"Pr","names":["Pr"],"mappings":{"default":{"default":"probabilidad"}},"category":"Probability"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/functions/hyperbolic.js b/unpacked/extensions/a11y/mathmaps/es/functions/hyperbolic.js
deleted file mode 100644
index eaac560c21..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/functions/hyperbolic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"cosh","names":["cosh"],"mappings":{"default":{"default":"coseno hiperbólico"}},"category":"Hyperbolic"},{"key":"coth","names":["coth"],"mappings":{"default":{"default":"cotangente hiperbólica"}},"category":"Hyperbolic"},{"key":"csch","names":["csch"],"mappings":{"default":{"default":"cosecante hiperbólica"}},"category":"Hyperbolic"},{"key":"sech","names":["sech"],"mappings":{"default":{"default":"secante hiperbólica"}},"category":"Hyperbolic"},{"key":"sinh","names":["sinh"],"mappings":{"default":{"default":"seno hiperbólico"}},"category":"Hyperbolic"},{"key":"tanh","names":["tanh"],"mappings":{"default":{"default":"tangente hiperbólica"}},"category":"Hyperbolic"},{"key":"arcosh","names":["arcosh","arccosh"],"mappings":{"default":{"default":"area coseno hiperbólico"}},"category":"Area"},{"key":"arcoth","names":["arcoth","arccoth"],"mappings":{"default":{"default":"area cotangente hiperbólica"}},"category":"Area"},{"key":"arcsch","names":["arcsch","arccsch"],"mappings":{"default":{"default":"area cosecante hiperbólica"}},"category":"Area"},{"key":"arsech","names":["arsech","arcsech"],"mappings":{"default":{"default":"area secante hiperbólica"}},"category":"Area"},{"key":"arsinh","names":["arsinh","arcsinh"],"mappings":{"default":{"default":"area seno hiperbólico"}},"category":"Area"},{"key":"artanh","names":["artanh","arctanh"],"mappings":{"default":{"default":"area tangente hiperbólica"}},"category":"Area"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/functions/trigonometry.js b/unpacked/extensions/a11y/mathmaps/es/functions/trigonometry.js
deleted file mode 100644
index 0d7550d76b..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/functions/trigonometry.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"cos","names":["cos","cosine"],"mappings":{"default":{"default":"coseno"}},"category":"Trigonometric"},{"key":"cot","names":["cot"],"mappings":{"default":{"default":"cotangente"}},"category":"Trigonometric"},{"key":"csc","names":["csc"],"mappings":{"default":{"default":"cosecante"}},"category":"Trigonometric"},{"key":"sec","names":["sec"],"mappings":{"default":{"default":"secant"}},"category":"Trigonometric"},{"key":"sin","names":["sin","sine","sen"],"mappings":{"default":{"default":"seno"}},"category":"Trigonometric"},{"key":"tan","names":["tan"],"mappings":{"default":{"default":"tangente"}},"category":"Trigonometric"},{"key":"arccos","names":["arccos"],"mappings":{"default":{"default":"arco coseno"}},"category":"Cyclometric"},{"key":"arccot","names":["arccot"],"mappings":{"default":{"default":"arco cotangente"}},"category":"Cyclometric"},{"key":"arccsc","names":["arccsc"],"mappings":{"default":{"default":"arco cosecante"}},"category":"Cyclometric"},{"key":"arcsec","names":["arcsec"],"mappings":{"default":{"default":"arco secante"}},"category":"Cyclometric"},{"key":"arcsin","names":["arcsin"],"mappings":{"default":{"default":"arco seno"}},"category":"Cyclometric"},{"key":"arctan","names":["arctan"],"mappings":{"default":{"default":"arco tangente"}},"category":"Cyclometric"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-capital.js b/unpacked/extensions/a11y/mathmaps/es/symbols/greek-capital.js
deleted file mode 100644
index dc41c695ef..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-capital.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"0391","mappings":{"default":{"default":"mayúscula Alfa"}},"category":"Lu"},{"key":"0392","mappings":{"default":{"default":"mayúscula Beta"}},"category":"Lu"},{"key":"0393","mappings":{"default":{"default":"mayúscula Gamma"}},"category":"Lu"},{"key":"0394","mappings":{"default":{"default":"mayúscula Delta"}},"category":"Lu"},{"key":"0395","mappings":{"default":{"default":"mayúscula Épsilon"}},"category":"Lu"},{"key":"0396","mappings":{"default":{"default":"mayúscula Zeta"}},"category":"Lu"},{"key":"0397","mappings":{"default":{"default":"mayúscula Eta"}},"category":"Lu"},{"key":"0398","mappings":{"default":{"default":"mayúscula Theta"}},"category":"Lu"},{"key":"0399","mappings":{"default":{"default":"mayúscula Iota"}},"category":"Lu"},{"key":"039A","mappings":{"default":{"default":"mayúscula Kappa"}},"category":"Lu"},{"key":"039B","mappings":{"default":{"default":"mayúscula Lambda"}},"category":"Lu"},{"key":"039C","mappings":{"default":{"default":"mayúscula Mi"}},"category":"Lu"},{"key":"039D","mappings":{"default":{"default":"mayúscula Ni"}},"category":"Lu"},{"key":"039E","mappings":{"default":{"default":"mayúscula Xi"}},"category":"Lu"},{"key":"039F","mappings":{"default":{"default":"mayúscula Ómicron"}},"category":"Lu"},{"key":"03A0","mappings":{"default":{"default":"mayúscula Pi"}},"category":"Lu"},{"key":"03A1","mappings":{"default":{"default":"mayúscula Rho"}},"category":"Lu"},{"key":"03A3","mappings":{"default":{"default":"mayúscula Sigma"}},"category":"Lu"},{"key":"03A4","mappings":{"default":{"default":"mayúscula Tau"}},"category":"Lu"},{"key":"03A5","mappings":{"default":{"default":"mayúscula Ípsilon"}},"category":"Lu"},{"key":"03A6","mappings":{"default":{"default":"mayúscula Phi"}},"category":"Lu"},{"key":"03A7","mappings":{"default":{"default":"mayúscula Ji"}},"category":"Lu"},{"key":"03A8","mappings":{"default":{"default":"mayúscula Psi"}},"category":"Lu"},{"key":"03A9","mappings":{"default":{"default":"mayúscula Omega"}},"category":"Lu"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-bold.js b/unpacked/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-bold.js
deleted file mode 100644
index ce70461d81..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Alfa"}},"key":"1D6A8"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Beta"}},"key":"1D6A9"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Gamma"}},"key":"1D6AA"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Delta"}},"key":"1D6AB"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Épsilon"}},"key":"1D6AC"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Zeta"}},"key":"1D6AD"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Eta"}},"key":"1D6AE"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Theta"}},"key":"1D6AF"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Iota"}},"key":"1D6B0"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Kappa"}},"key":"1D6B1"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Lambda"}},"key":"1D6B2"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Mi"}},"key":"1D6B3"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ni"}},"key":"1D6B4"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Xi"}},"key":"1D6B5"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ómicron"}},"key":"1D6B6"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Pi"}},"key":"1D6B7"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Rho"}},"key":"1D6B8"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Sigma"}},"key":"1D6BA"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Tau"}},"key":"1D6BB"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ípsilon"}},"key":"1D6BC"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Phi"}},"key":"1D6BD"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ji"}},"key":"1D6BE"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Psi"}},"key":"1D6BF"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Omega"}},"key":"1D6C0"},{"category":"Ll","mappings":{"default":{"default":"negrita alfa"}},"key":"1D6C2"},{"category":"Ll","mappings":{"default":{"default":"negrita beta"}},"key":"1D6C3"},{"category":"Ll","mappings":{"default":{"default":"negrita gamma"}},"key":"1D6C4"},{"category":"Ll","mappings":{"default":{"default":"negrita delta"}},"key":"1D6C5"},{"category":"Ll","mappings":{"default":{"default":"negrita épsilon"}},"key":"1D6C6"},{"category":"Ll","mappings":{"default":{"default":"negrita zeta"}},"key":"1D6C7"},{"category":"Ll","mappings":{"default":{"default":"negrita eta"}},"key":"1D6C8"},{"category":"Ll","mappings":{"default":{"default":"negrita theta"}},"key":"1D6C9"},{"category":"Ll","mappings":{"default":{"default":"negrita iota"}},"key":"1D6CA"},{"category":"Ll","mappings":{"default":{"default":"negrita kappa"}},"key":"1D6CB"},{"category":"Ll","mappings":{"default":{"default":"negrita lambda"}},"key":"1D6CC"},{"category":"Ll","mappings":{"default":{"default":"negrita mi"}},"key":"1D6CD"},{"category":"Ll","mappings":{"default":{"default":"negrita ni"}},"key":"1D6CE"},{"category":"Ll","mappings":{"default":{"default":"negrita xi"}},"key":"1D6CF"},{"category":"Ll","mappings":{"default":{"default":"negrita ómicron"}},"key":"1D6D0"},{"category":"Ll","mappings":{"default":{"default":"negrita pi"}},"key":"1D6D1"},{"category":"Ll","mappings":{"default":{"default":"negrita rho"}},"key":"1D6D2"},{"category":"Ll","mappings":{"default":{"default":"negrita final sigma"}},"key":"1D6D3"},{"category":"Ll","mappings":{"default":{"default":"negrita sigma"}},"key":"1D6D4"},{"category":"Ll","mappings":{"default":{"default":"negrita tau"}},"key":"1D6D5"},{"category":"Ll","mappings":{"default":{"default":"negrita ípsilon"}},"key":"1D6D6"},{"category":"Ll","mappings":{"default":{"default":"negrita phi"}},"key":"1D6D7"},{"category":"Ll","mappings":{"default":{"default":"negrita ji"}},"key":"1D6D8"},{"category":"Ll","mappings":{"default":{"default":"negrita psi"}},"key":"1D6D9"},{"category":"Ll","mappings":{"default":{"default":"negrita omega"}},"key":"1D6DA"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-italic.js b/unpacked/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-italic.js
deleted file mode 100644
index d788acc304..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-italic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Alfa"}},"key":"1D6E2"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Beta"}},"key":"1D6E3"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Gamma"}},"key":"1D6E4"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Delta"}},"key":"1D6E5"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Épsilon"}},"key":"1D6E6"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Zeta"}},"key":"1D6E7"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Eta"}},"key":"1D6E8"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Theta"}},"key":"1D6E9"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Iota"}},"key":"1D6EA"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Kappa"}},"key":"1D6EB"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Lambda"}},"key":"1D6EC"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Mi"}},"key":"1D6ED"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ni"}},"key":"1D6EE"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Xi"}},"key":"1D6EF"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ómicron"}},"key":"1D6F0"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Pi"}},"key":"1D6F1"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Rho"}},"key":"1D6F2"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Sigma"}},"key":"1D6F4"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Tau"}},"key":"1D6F5"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ípsilon"}},"key":"1D6F6"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Phi"}},"key":"1D6F7"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ji"}},"key":"1D6F8"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Psi"}},"key":"1D6F9"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Omega"}},"key":"1D6FA"},{"category":"Ll","mappings":{"default":{"default":"cursiva alfa"}},"key":"1D6FC"},{"category":"Ll","mappings":{"default":{"default":"cursiva beta"}},"key":"1D6FD"},{"category":"Ll","mappings":{"default":{"default":"cursiva gamma"}},"key":"1D6FE"},{"category":"Ll","mappings":{"default":{"default":"cursiva delta"}},"key":"1D6FF"},{"category":"Ll","mappings":{"default":{"default":"cursiva épsilon"}},"key":"1D700"},{"category":"Ll","mappings":{"default":{"default":"cursiva zeta"}},"key":"1D701"},{"category":"Ll","mappings":{"default":{"default":"cursiva eta"}},"key":"1D702"},{"category":"Ll","mappings":{"default":{"default":"cursiva theta"}},"key":"1D703"},{"category":"Ll","mappings":{"default":{"default":"cursiva iota"}},"key":"1D704"},{"category":"Ll","mappings":{"default":{"default":"cursiva kappa"}},"key":"1D705"},{"category":"Ll","mappings":{"default":{"default":"cursiva lambda"}},"key":"1D706"},{"category":"Ll","mappings":{"default":{"default":"cursiva mi"}},"key":"1D707"},{"category":"Ll","mappings":{"default":{"default":"cursiva ni"}},"key":"1D708"},{"category":"Ll","mappings":{"default":{"default":"cursiva xi"}},"key":"1D709"},{"category":"Ll","mappings":{"default":{"default":"cursiva ómicron"}},"key":"1D70A"},{"category":"Ll","mappings":{"default":{"default":"cursiva pi"}},"key":"1D70B"},{"category":"Ll","mappings":{"default":{"default":"cursiva rho"}},"key":"1D70C"},{"category":"Ll","mappings":{"default":{"default":"cursiva final sigma"}},"key":"1D70D"},{"category":"Ll","mappings":{"default":{"default":"cursiva sigma"}},"key":"1D70E"},{"category":"Ll","mappings":{"default":{"default":"cursiva tau"}},"key":"1D70F"},{"category":"Ll","mappings":{"default":{"default":"cursiva ípsilon"}},"key":"1D710"},{"category":"Ll","mappings":{"default":{"default":"cursiva phi"}},"key":"1D711"},{"category":"Ll","mappings":{"default":{"default":"cursiva ji"}},"key":"1D712"},{"category":"Ll","mappings":{"default":{"default":"cursiva psi"}},"key":"1D713"},{"category":"Ll","mappings":{"default":{"default":"cursiva omega"}},"key":"1D714"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-sans-serif-bold.js b/unpacked/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-sans-serif-bold.js
deleted file mode 100644
index cb8602989d..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-mathfonts-sans-serif-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Alfa"}},"key":"1D756"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Beta"}},"key":"1D757"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Gamma"}},"key":"1D758"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Delta"}},"key":"1D759"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Épsilon"}},"key":"1D75A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Zeta"}},"key":"1D75B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Eta"}},"key":"1D75C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Theta"}},"key":"1D75D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Iota"}},"key":"1D75E"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Kappa"}},"key":"1D75F"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Lambda"}},"key":"1D760"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Mi"}},"key":"1D761"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ni"}},"key":"1D762"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Xi"}},"key":"1D763"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ómicron"}},"key":"1D764"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Pi"}},"key":"1D765"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Rho"}},"key":"1D766"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Sigma"}},"key":"1D768"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Tau"}},"key":"1D769"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ípsilon"}},"key":"1D76A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Phi"}},"key":"1D76B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ji"}},"key":"1D76C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Psi"}},"key":"1D76D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Omega"}},"key":"1D76E"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita alfa"}},"key":"1D770"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita beta"}},"key":"1D771"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita gamma"}},"key":"1D772"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita delta"}},"key":"1D773"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita épsilon"}},"key":"1D774"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita zeta"}},"key":"1D775"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita eta"}},"key":"1D776"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita theta"}},"key":"1D777"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita iota"}},"key":"1D778"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita kappa"}},"key":"1D779"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita lambda"}},"key":"1D77A"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita mi"}},"key":"1D77B"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ni"}},"key":"1D77C"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita xi"}},"key":"1D77D"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ómicron"}},"key":"1D77E"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita pi"}},"key":"1D77F"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita rho"}},"key":"1D780"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita final sigma"}},"key":"1D781"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita sigma"}},"key":"1D782"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita tau"}},"key":"1D783"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ípsilon"}},"key":"1D784"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita phi"}},"key":"1D785"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ji"}},"key":"1D786"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita psi"}},"key":"1D787"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita omega"}},"key":"1D788"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-scripts.js b/unpacked/extensions/a11y/mathmaps/es/symbols/greek-scripts.js
deleted file mode 100644
index d7eee0e1b7..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-scripts.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-small.js b/unpacked/extensions/a11y/mathmaps/es/symbols/greek-small.js
deleted file mode 100644
index df532758b3..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-small.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"03B1","mappings":{"default":{"default":"alfa"}},"category":"Ll"},{"key":"03B2","mappings":{"default":{"default":"beta"}},"category":"Ll"},{"key":"03B3","mappings":{"default":{"default":"gamma"}},"category":"Ll"},{"key":"03B4","mappings":{"default":{"default":"delta"}},"category":"Ll"},{"key":"03B5","mappings":{"default":{"default":"épsilon"}},"category":"Ll"},{"key":"03B6","mappings":{"default":{"default":"zeta"}},"category":"Ll"},{"key":"03B7","mappings":{"default":{"default":"eta"}},"category":"Ll"},{"key":"03B8","mappings":{"default":{"default":"theta"}},"category":"Ll"},{"key":"03B9","mappings":{"default":{"default":"iota"}},"category":"Ll"},{"key":"03BA","mappings":{"default":{"default":"kappa"}},"category":"Ll"},{"key":"03BB","mappings":{"default":{"default":"lambda"}},"category":"Ll"},{"key":"03BC","mappings":{"default":{"default":"mi"}},"category":"Ll"},{"key":"03BD","mappings":{"default":{"default":"ni"}},"category":"Ll"},{"key":"03BE","mappings":{"default":{"default":"xi"}},"category":"Ll"},{"key":"03BF","mappings":{"default":{"default":"ómicron"}},"category":"Ll"},{"key":"03C0","mappings":{"default":{"default":"pi"}},"category":"Ll"},{"key":"03C1","mappings":{"default":{"default":"rho"}},"category":"Ll"},{"key":"03C2","mappings":{"default":{"default":"sigma final"}},"category":"Ll"},{"key":"03C3","mappings":{"default":{"default":"sigma"}},"category":"Ll"},{"key":"03C4","mappings":{"default":{"default":"tau"}},"category":"Ll"},{"key":"03C5","mappings":{"default":{"default":"ípsilon"}},"category":"Ll"},{"key":"03C6","mappings":{"default":{"default":"phi"}},"category":"Ll"},{"key":"03C7","mappings":{"default":{"default":"ji"}},"category":"Ll"},{"key":"03C8","mappings":{"default":{"default":"psi"}},"category":"Ll"},{"key":"03C9","mappings":{"default":{"default":"omega"}},"category":"Ll"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-symbols.js b/unpacked/extensions/a11y/mathmaps/es/symbols/greek-symbols.js
deleted file mode 100644
index f8c9a2095e..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/greek-symbols.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"03D0","mappings":{"default":{"default":"símbolo beta"}},"category":"Ll"},{"key":"03D1","mappings":{"default":{"default":"variante de theta"}},"category":"Ll"},{"key":"03D5","mappings":{"default":{"default":"phi recta"}},"category":"Ll"},{"key":"03D6","mappings":{"default":{"default":"pi","defaultMP":"variante de pi"}},"category":"Ll"},{"key":"03D7","mappings":{"default":{"default":"símbolo kai griego"}},"category":"Ll"},{"key":"03F0","mappings":{"default":{"default":"kappa","defaultMP":"variante de kappa"}},"category":"Ll"},{"key":"03F1","mappings":{"default":{"default":"rho","defaultMP":"variante de rho"}},"category":"Ll"},{"key":"03F5","mappings":{"default":{"default":"épsilon","defaultMP":"variante de épsilon"}},"category":"Ll"},{"key":"03F6","mappings":{"default":{"default":"épsilon invertido"}},"category":"Sm"},{"key":"03F4","mappings":{"default":{"default":"mayúscula variante de Theta"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula variante de Theta"}},"key":"1D6B9"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula variante de Theta"}},"key":"1D6F3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula variante de Theta"}},"key":"1D767"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/hebrew_letters.js b/unpacked/extensions/a11y/mathmaps/es/symbols/hebrew_letters.js
deleted file mode 100644
index 6961fb1e5f..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/hebrew_letters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"2135","mappings":{"default":{"default":"alef"}},"category":"Lo"},{"key":"2136","mappings":{"default":{"default":"bet"}},"category":"Lo"},{"key":"2137","mappings":{"default":{"default":"guímel"}},"category":"Lo"},{"key":"2138","mappings":{"default":{"default":"dálet"}},"category":"Lo"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-lower-double-accent.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-lower-double-accent.js
deleted file mode 100644
index 06f94ba14f..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-lower-double-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"1E09","mappings":{"default":{"default":"c con cedilla y agudo"}},"category":"Ll"},{"key":"1E15","mappings":{"default":{"default":"e con macrón y grave"}},"category":"Ll"},{"key":"1E17","mappings":{"default":{"default":"e con macrón y agudo"}},"category":"Ll"},{"key":"1E1D","mappings":{"default":{"default":"e con cedilla y breve"}},"category":"Ll"},{"key":"1E2F","mappings":{"default":{"default":"i con diéresis y agudo"}},"category":"Ll"},{"key":"1E39","mappings":{"default":{"default":"l con punto debajo y macrón"}},"category":"Ll"},{"key":"1E4D","mappings":{"default":{"default":"o con tilde y acute"}},"category":"Ll"},{"key":"1E4F","mappings":{"default":{"default":"o con tilde y diéresis"}},"category":"Ll"},{"key":"1E51","mappings":{"default":{"default":"o con macrón y grave"}},"category":"Ll"},{"key":"1E53","mappings":{"default":{"default":"o con macrón y agudo"}},"category":"Ll"},{"key":"1E5D","mappings":{"default":{"default":"r con punto debajo y macrón"}},"category":"Ll"},{"key":"1E65","mappings":{"default":{"default":"s con agudo y punto arriba"}},"category":"Ll"},{"key":"1E67","mappings":{"default":{"default":"s con carón y punto arriba"}},"category":"Ll"},{"key":"1E69","mappings":{"default":{"default":"s con punto debajo y punto arriba"}},"category":"Ll"},{"key":"1E79","mappings":{"default":{"default":"u con tilde y agudo"}},"category":"Ll"},{"key":"1E7B","mappings":{"default":{"default":"u con macrón y diéresis"}},"category":"Ll"},{"key":"1EA5","mappings":{"default":{"default":"a con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EA7","mappings":{"default":{"default":"a con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EA9","mappings":{"default":{"default":"a con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EAB","mappings":{"default":{"default":"a con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EAD","mappings":{"default":{"default":"a con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EAF","mappings":{"default":{"default":"a con breve y agudo"}},"category":"Ll"},{"key":"1EB1","mappings":{"default":{"default":"a con breve y grave"}},"category":"Ll"},{"key":"1EB3","mappings":{"default":{"default":"a con breve y gancho arriba"}},"category":"Ll"},{"key":"1EB5","mappings":{"default":{"default":"a con breve y tilde"}},"category":"Ll"},{"key":"1EB7","mappings":{"default":{"default":"a con breve y punto debajo"}},"category":"Ll"},{"key":"1EBF","mappings":{"default":{"default":"e con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EC1","mappings":{"default":{"default":"e con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EC3","mappings":{"default":{"default":"e con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EC5","mappings":{"default":{"default":"e con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EC7","mappings":{"default":{"default":"e con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1ED1","mappings":{"default":{"default":"o con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1ED3","mappings":{"default":{"default":"o con acento circunflejo y grave"}},"category":"Ll"},{"key":"1ED5","mappings":{"default":{"default":"o con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1ED7","mappings":{"default":{"default":"o con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1ED9","mappings":{"default":{"default":"o con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EDB","mappings":{"default":{"default":"o with horn and acute"}},"category":"Ll"},{"key":"1EDD","mappings":{"default":{"default":"o with horn and grave"}},"category":"Ll"},{"key":"1EDF","mappings":{"default":{"default":"o with horn and hook above"}},"category":"Ll"},{"key":"1EE1","mappings":{"default":{"default":"o with horn and tilde"}},"category":"Ll"},{"key":"1EE3","mappings":{"default":{"default":"o con cuerno y punto debajo"}},"category":"Ll"},{"key":"1EE9","mappings":{"default":{"default":"u con cuerno y agudo"}},"category":"Ll"},{"key":"1EEB","mappings":{"default":{"default":"u con cuerno y grave"}},"category":"Ll"},{"key":"1EED","mappings":{"default":{"default":"u con cuerno y gancho arriba"}},"category":"Ll"},{"key":"1EEF","mappings":{"default":{"default":"u con cuerno y tilde"}},"category":"Ll"},{"key":"1EF1","mappings":{"default":{"default":"u con cuerno y punto debajo"}},"category":"Ll"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-lower-normal.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-lower-normal.js
deleted file mode 100644
index e9d632e18b..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-lower-normal.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"0061","mappings":{"default":{"default":"a"}},"category":"Ll"},{"key":"0062","mappings":{"default":{"default":"b"}},"category":"Ll"},{"key":"0063","mappings":{"default":{"default":"c"}},"category":"Ll"},{"key":"0064","mappings":{"default":{"default":"d"}},"category":"Ll"},{"key":"0065","mappings":{"default":{"default":"e"}},"category":"Ll"},{"key":"0066","mappings":{"default":{"default":"f"}},"category":"Ll"},{"key":"0067","mappings":{"default":{"default":"g"}},"category":"Ll"},{"key":"0068","mappings":{"default":{"default":"h"}},"category":"Ll"},{"key":"0069","mappings":{"default":{"default":"i"}},"category":"Ll"},{"key":"006A","mappings":{"default":{"default":"j"}},"category":"Ll"},{"key":"006B","mappings":{"default":{"default":"k"}},"category":"Ll"},{"key":"006C","mappings":{"default":{"default":"l"}},"category":"Ll"},{"key":"006D","mappings":{"default":{"default":"m"}},"category":"Ll"},{"key":"006E","mappings":{"default":{"default":"n"}},"category":"Ll"},{"key":"006F","mappings":{"default":{"default":"o"}},"category":"Ll"},{"key":"0070","mappings":{"default":{"default":"p"}},"category":"Ll"},{"key":"0071","mappings":{"default":{"default":"q"}},"category":"Ll"},{"key":"0072","mappings":{"default":{"default":"r"}},"category":"Ll"},{"key":"0073","mappings":{"default":{"default":"s"}},"category":"Ll"},{"key":"0074","mappings":{"default":{"default":"t"}},"category":"Ll"},{"key":"0075","mappings":{"default":{"default":"u"}},"category":"Ll"},{"key":"0076","mappings":{"default":{"default":"v"}},"category":"Ll"},{"key":"0077","mappings":{"default":{"default":"w"}},"category":"Ll"},{"key":"0078","mappings":{"default":{"default":"x"}},"category":"Ll"},{"key":"0079","mappings":{"default":{"default":"y","defaultMP":"ye"}},"category":"Ll"},{"key":"007A","mappings":{"default":{"default":"z"}},"category":"Ll"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-lower-phonetic.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-lower-phonetic.js
deleted file mode 100644
index 0deaaf7da6..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-lower-phonetic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"00F8","mappings":{"default":{"default":"o barrada"}},"category":"Ll"},{"key":"0111","mappings":{"default":{"default":"d con barra"}},"category":"Ll"},{"key":"0127","mappings":{"default":{"default":"h con guión"}},"category":"Ll"},{"key":"0142","mappings":{"default":{"default":"l con guión"}},"category":"Ll"},{"key":"0167","mappings":{"default":{"default":"t con guión"}},"category":"Ll"},{"key":"019B","mappings":{"default":{"default":"lambda tachada"}},"category":"Ll"},{"key":"1E9B","mappings":{"default":{"default":"s larga con punto arriba"}},"category":"Ll"},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"key":"0192","mappings":{"default":{"default":"f con gancho"}},"category":"Ll"},{"key":"019A","mappings":{"default":{"default":"l con barra"}},"category":"Ll"},{"key":"025B","mappings":{"default":{"default":"e abierta"}},"category":"Ll"},{"key":"0149","mappings":{"default":{"default":"n precedida por apóstrofe"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-lower-single-accent.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-lower-single-accent.js
deleted file mode 100644
index 7d48b03677..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-lower-single-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"00E0","mappings":{"default":{"default":"a grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a aguda"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a acento circunflejo"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a con tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a diéresis"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a con anillo"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c cedilla"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e aguda"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e acento circunflejo"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e diéresis"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i aguda"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i acento circunflejo"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i diéresis"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"eñe"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o aguda"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o acento circunflejo"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o con tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o diéresis"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u aguda"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u acento circunflejo"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u diéresis"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"Y aguda","defaultMP":"ye aguda"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y diéresis","defaultMP":"ye diéresis"}},"category":"Ll"},{"key":"0101","mappings":{"default":{"default":"a barra"}},"category":"Ll"},{"key":"0103","mappings":{"default":{"default":"a con breve"}},"category":"Ll"},{"key":"0105","mappings":{"default":{"default":"a con ogonek"}},"category":"Ll"},{"key":"0107","mappings":{"default":{"default":"c con agudo"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c con acento circunflejo"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c con punto arriba"}},"category":"Ll"},{"key":"010D","mappings":{"default":{"default":"c con carón"}},"category":"Ll"},{"key":"010F","mappings":{"default":{"default":"d con carón"}},"category":"Ll"},{"key":"0113","mappings":{"default":{"default":"e barra"}},"category":"Ll"},{"key":"0117","mappings":{"default":{"default":"e con punto arriba"}},"category":"Ll"},{"key":"0119","mappings":{"default":{"default":"e con ogonek"}},"category":"Ll"},{"key":"011B","mappings":{"default":{"default":"e con carón"}},"category":"Ll"},{"key":"011D","mappings":{"default":{"default":"g con acento circunflejo"}},"category":"Ll"},{"key":"011F","mappings":{"default":{"default":"g con breve"}},"category":"Ll"},{"key":"0121","mappings":{"default":{"default":"g con punto arriba"}},"category":"Ll"},{"key":"0125","mappings":{"default":{"default":"h con acento circunflejo"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i con tilde"}},"category":"Ll"},{"key":"012B","mappings":{"default":{"default":"i barra"}},"category":"Ll"},{"key":"012F","mappings":{"default":{"default":"i con ogonek"}},"category":"Ll"},{"key":"0131","mappings":{"default":{"default":"i sin punto"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j con acento circunflejo"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k con cedilla"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l con agudo"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l con cedilla"}},"category":"Ll"},{"key":"013E","mappings":{"default":{"default":"l con carón"}},"category":"Ll"},{"key":"0140","mappings":{"default":{"default":"l con punto mediano"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n con agudo"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n con cedilla"}},"category":"Ll"},{"key":"0148","mappings":{"default":{"default":"n con carón"}},"category":"Ll"},{"key":"014D","mappings":{"default":{"default":"o barra"}},"category":"Ll"},{"key":"0151","mappings":{"default":{"default":"o con doble acento agudo"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r con agudo"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r con cedilla"}},"category":"Ll"},{"key":"0159","mappings":{"default":{"default":"r con carón"}},"category":"Ll"},{"key":"015B","mappings":{"default":{"default":"s con agudo"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s con acento circunflejo"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s con cedilla"}},"category":"Ll"},{"key":"0161","mappings":{"default":{"default":"s con carón"}},"category":"Ll"},{"key":"0163","mappings":{"default":{"default":"t con cedilla"}},"category":"Ll"},{"key":"0165","mappings":{"default":{"default":"t con carón"}},"category":"Ll"},{"key":"0169","mappings":{"default":{"default":"u con tilde"}},"category":"Ll"},{"key":"016B","mappings":{"default":{"default":"u barra"}},"category":"Ll"},{"key":"016D","mappings":{"default":{"default":"u con breve"}},"category":"Ll"},{"key":"016F","mappings":{"default":{"default":"u con anillo arriba"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u con doble acento agudo"}},"category":"Ll"},{"key":"0173","mappings":{"default":{"default":"u con ogonek"}},"category":"Ll"},{"key":"0175","mappings":{"default":{"default":"w con circunflejo"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y con circunflejo"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z con agudo"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z con punto"}},"category":"Ll"},{"key":"017E","mappings":{"default":{"default":"z con carón"}},"category":"Ll"},{"key":"01F5","mappings":{"default":{"default":"g con agudo"}},"category":"Ll"},{"key":"1E01","mappings":{"default":{"default":"a con anillo debajo"}},"category":"Ll"},{"key":"1E03","mappings":{"default":{"default":"b con punto arriba"}},"category":"Ll"},{"key":"1E05","mappings":{"default":{"default":"b con punto debajo"}},"category":"Ll"},{"key":"1E07","mappings":{"default":{"default":"b con línea debajo"}},"category":"Ll"},{"key":"1E0B","mappings":{"default":{"default":"d con punto arriba"}},"category":"Ll"},{"key":"1E0D","mappings":{"default":{"default":"d con punto debajo"}},"category":"Ll"},{"key":"1E0F","mappings":{"default":{"default":"d con línea debajo"}},"category":"Ll"},{"key":"1E11","mappings":{"default":{"default":"d con cedilla"}},"category":"Ll"},{"key":"1E13","mappings":{"default":{"default":"d con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E19","mappings":{"default":{"default":"e con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E1B","mappings":{"default":{"default":"e con tilde debajo"}},"category":"Ll"},{"key":"1E1F","mappings":{"default":{"default":"f con punto arriba"}},"category":"Ll"},{"key":"1E21","mappings":{"default":{"default":"g con macrón"}},"category":"Ll"},{"key":"1E23","mappings":{"default":{"default":"h con punto arriba"}},"category":"Ll"},{"key":"1E25","mappings":{"default":{"default":"h con punto debajo"}},"category":"Ll"},{"key":"1E27","mappings":{"default":{"default":"h con diéresis"}},"category":"Ll"},{"key":"1E29","mappings":{"default":{"default":"h con cedilla"}},"category":"Ll"},{"key":"1E2B","mappings":{"default":{"default":"h con breve debajo"}},"category":"Ll"},{"key":"1E2D","mappings":{"default":{"default":"i con tilde debajo"}},"category":"Ll"},{"key":"1E31","mappings":{"default":{"default":"k con agudo"}},"category":"Ll"},{"key":"1E33","mappings":{"default":{"default":"k con punto debajo"}},"category":"Ll"},{"key":"1E35","mappings":{"default":{"default":"k con línea debajo"}},"category":"Ll"},{"key":"1E37","mappings":{"default":{"default":"l con punto debajo"}},"category":"Ll"},{"key":"1E3B","mappings":{"default":{"default":"l con línea debajo"}},"category":"Ll"},{"key":"1E3D","mappings":{"default":{"default":"l con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E3F","mappings":{"default":{"default":"m con agudo"}},"category":"Ll"},{"key":"1E41","mappings":{"default":{"default":"m con punto arriba"}},"category":"Ll"},{"key":"1E43","mappings":{"default":{"default":"m con punto debajo"}},"category":"Ll"},{"key":"1E45","mappings":{"default":{"default":"n con punto arriba"}},"category":"Ll"},{"key":"1E47","mappings":{"default":{"default":"n con punto debajo"}},"category":"Ll"},{"key":"1E49","mappings":{"default":{"default":"n con línea debajo"}},"category":"Ll"},{"key":"1E4B","mappings":{"default":{"default":"n con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E55","mappings":{"default":{"default":"p con agudo"}},"category":"Ll"},{"key":"1E57","mappings":{"default":{"default":"p con punto arriba"}},"category":"Ll"},{"key":"1E59","mappings":{"default":{"default":"r con punto arriba"}},"category":"Ll"},{"key":"1E5B","mappings":{"default":{"default":"r con punto debajo"}},"category":"Ll"},{"key":"1E5F","mappings":{"default":{"default":"r con línea debajo"}},"category":"Ll"},{"key":"1E61","mappings":{"default":{"default":"s con punto arriba"}},"category":"Ll"},{"key":"1E63","mappings":{"default":{"default":"s con punto debajo"}},"category":"Ll"},{"key":"1E6B","mappings":{"default":{"default":"t con punto arriba"}},"category":"Ll"},{"key":"1E6D","mappings":{"default":{"default":"t con punto debajo"}},"category":"Ll"},{"key":"1E6F","mappings":{"default":{"default":"t con línea debajo"}},"category":"Ll"},{"key":"1E71","mappings":{"default":{"default":"t con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E73","mappings":{"default":{"default":"u con diéresis debajo"}},"category":"Ll"},{"key":"1E75","mappings":{"default":{"default":"u con tilde debajo"}},"category":"Ll"},{"key":"1E77","mappings":{"default":{"default":"u con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E7D","mappings":{"default":{"default":"v con tilde"}},"category":"Ll"},{"key":"1E7F","mappings":{"default":{"default":"v con punto debajo"}},"category":"Ll"},{"key":"1E81","mappings":{"default":{"default":"w con grave"}},"category":"Ll"},{"key":"1E83","mappings":{"default":{"default":"w con agudo"}},"category":"Ll"},{"key":"1E85","mappings":{"default":{"default":"w con diéresis"}},"category":"Ll"},{"key":"1E87","mappings":{"default":{"default":"w con punto arriba"}},"category":"Ll"},{"key":"1E89","mappings":{"default":{"default":"w con punto debajo"}},"category":"Ll"},{"key":"1E8B","mappings":{"default":{"default":"x con punto arriba"}},"category":"Ll"},{"key":"1E8D","mappings":{"default":{"default":"x con diéresis"}},"category":"Ll"},{"key":"1E8F","mappings":{"default":{"default":"y con punto arriba"}},"category":"Ll"},{"key":"1E91","mappings":{"default":{"default":"z con acento circunflejo"}},"category":"Ll"},{"key":"1E93","mappings":{"default":{"default":"z con punto debajo"}},"category":"Ll"},{"key":"1E95","mappings":{"default":{"default":"z con línea debajo"}},"category":"Ll"},{"key":"1E96","mappings":{"default":{"default":"h con línea debajo"}},"category":"Ll"},{"key":"1E97","mappings":{"default":{"default":"t con diéresis"}},"category":"Ll"},{"key":"1E98","mappings":{"default":{"default":"w con anillo arriba"}},"category":"Ll"},{"key":"1E99","mappings":{"default":{"default":"y con anillo arriba"}},"category":"Ll"},{"key":"1E9A","mappings":{"default":{"default":"a con medio derecho de anillo"}},"category":"Ll"},{"key":"1EA1","mappings":{"default":{"default":"a con punto debajo"}},"category":"Ll"},{"key":"1EA3","mappings":{"default":{"default":"a con gancho arriba"}},"category":"Ll"},{"key":"1EB9","mappings":{"default":{"default":"e con punto debajo"}},"category":"Ll"},{"key":"1EBB","mappings":{"default":{"default":"e con gancho arriba"}},"category":"Ll"},{"key":"1EBD","mappings":{"default":{"default":"e con tilde"}},"category":"Ll"},{"key":"1EC9","mappings":{"default":{"default":"i con gancho arriba"}},"category":"Ll"},{"key":"1ECB","mappings":{"default":{"default":"i con punto debajo"}},"category":"Ll"},{"key":"1ECD","mappings":{"default":{"default":"o con punto debajo"}},"category":"Ll"},{"key":"1ECF","mappings":{"default":{"default":"o con gancho arriba"}},"category":"Ll"},{"key":"1EE5","mappings":{"default":{"default":"u con punto debajo"}},"category":"Ll"},{"key":"1EE7","mappings":{"default":{"default":"u con gancho arriba"}},"category":"Ll"},{"key":"1EF3","mappings":{"default":{"default":"y con grave"}},"category":"Ll"},{"key":"1EF5","mappings":{"default":{"default":"y con punto debajo"}},"category":"Ll"},{"key":"1EF7","mappings":{"default":{"default":"y con gancho arriba"}},"category":"Ll"},{"key":"1EF9","mappings":{"default":{"default":"y con tilde"}},"category":"Ll"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold-fraktur.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold-fraktur.js
deleted file mode 100644
index 918e9dfd1d..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold-fraktur.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula A"}},"key":"1D56C"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula B"}},"key":"1D56D"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula C"}},"key":"1D56E"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula D"}},"key":"1D56F"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula E"}},"key":"1D570"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula F"}},"key":"1D571"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula G"}},"key":"1D572"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula H"}},"key":"1D573"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula I"}},"key":"1D574"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula J"}},"key":"1D575"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula K"}},"key":"1D576"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula L"}},"key":"1D577"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula M"}},"key":"1D578"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula N"}},"key":"1D579"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula O"}},"key":"1D57A"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula P"}},"key":"1D57B"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula Q"}},"key":"1D57C"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula R"}},"key":"1D57D"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula S"}},"key":"1D57E"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula T"}},"key":"1D57F"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula U"}},"key":"1D580"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula V"}},"key":"1D581"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula W"}},"key":"1D582"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula X"}},"key":"1D583"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula Y"}},"key":"1D584"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula Z"}},"key":"1D585"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur a"}},"key":"1D586"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur b"}},"key":"1D587"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur c"}},"key":"1D588"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur d"}},"key":"1D589"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur e"}},"key":"1D58A"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur f"}},"key":"1D58B"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur g"}},"key":"1D58C"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur h"}},"key":"1D58D"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur i"}},"key":"1D58E"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur j"}},"key":"1D58F"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur k"}},"key":"1D590"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur l"}},"key":"1D591"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur m"}},"key":"1D592"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur n"}},"key":"1D593"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur o"}},"key":"1D594"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur p"}},"key":"1D595"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur q"}},"key":"1D596"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur r"}},"key":"1D597"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur s"}},"key":"1D598"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur t"}},"key":"1D599"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur u"}},"key":"1D59A"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur v"}},"key":"1D59B"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur w"}},"key":"1D59C"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur x"}},"key":"1D59D"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur y"}},"key":"1D59E"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur z"}},"key":"1D59F"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold-script.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold-script.js
deleted file mode 100644
index f3d18cfc8c..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold-script.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula A"}},"key":"1D4D0"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula B"}},"key":"1D4D1"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula C"}},"key":"1D4D2"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula D"}},"key":"1D4D3"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula E"}},"key":"1D4D4"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula F"}},"key":"1D4D5"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula G"}},"key":"1D4D6"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula H"}},"key":"1D4D7"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula I"}},"key":"1D4D8"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula J"}},"key":"1D4D9"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula K"}},"key":"1D4DA"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula L"}},"key":"1D4DB"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula M"}},"key":"1D4DC"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula N"}},"key":"1D4DD"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula O"}},"key":"1D4DE"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula P"}},"key":"1D4DF"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula Q"}},"key":"1D4E0"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula R"}},"key":"1D4E1"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula S"}},"key":"1D4E2"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula T"}},"key":"1D4E3"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula U"}},"key":"1D4E4"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula V"}},"key":"1D4E5"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula W"}},"key":"1D4E6"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula X"}},"key":"1D4E7"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula Y"}},"key":"1D4E8"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula Z"}},"key":"1D4E9"},{"category":"Ll","mappings":{"default":{"default":"negrita script a"}},"key":"1D4EA"},{"category":"Ll","mappings":{"default":{"default":"negrita script b"}},"key":"1D4EB"},{"category":"Ll","mappings":{"default":{"default":"negrita script c"}},"key":"1D4EC"},{"category":"Ll","mappings":{"default":{"default":"negrita script d"}},"key":"1D4ED"},{"category":"Ll","mappings":{"default":{"default":"negrita script e"}},"key":"1D4EE"},{"category":"Ll","mappings":{"default":{"default":"negrita script f"}},"key":"1D4EF"},{"category":"Ll","mappings":{"default":{"default":"negrita script g"}},"key":"1D4F0"},{"category":"Ll","mappings":{"default":{"default":"negrita script h"}},"key":"1D4F1"},{"category":"Ll","mappings":{"default":{"default":"negrita script i"}},"key":"1D4F2"},{"category":"Ll","mappings":{"default":{"default":"negrita script j"}},"key":"1D4F3"},{"category":"Ll","mappings":{"default":{"default":"negrita script k"}},"key":"1D4F4"},{"category":"Ll","mappings":{"default":{"default":"negrita script l"}},"key":"1D4F5"},{"category":"Ll","mappings":{"default":{"default":"negrita script m"}},"key":"1D4F6"},{"category":"Ll","mappings":{"default":{"default":"negrita script n"}},"key":"1D4F7"},{"category":"Ll","mappings":{"default":{"default":"negrita script o"}},"key":"1D4F8"},{"category":"Ll","mappings":{"default":{"default":"negrita script p"}},"key":"1D4F9"},{"category":"Ll","mappings":{"default":{"default":"negrita script q"}},"key":"1D4FA"},{"category":"Ll","mappings":{"default":{"default":"negrita script r"}},"key":"1D4FB"},{"category":"Ll","mappings":{"default":{"default":"negrita script s"}},"key":"1D4FC"},{"category":"Ll","mappings":{"default":{"default":"negrita script t"}},"key":"1D4FD"},{"category":"Ll","mappings":{"default":{"default":"negrita script u"}},"key":"1D4FE"},{"category":"Ll","mappings":{"default":{"default":"negrita script v"}},"key":"1D4FF"},{"category":"Ll","mappings":{"default":{"default":"negrita script w"}},"key":"1D500"},{"category":"Ll","mappings":{"default":{"default":"negrita script x"}},"key":"1D501"},{"category":"Ll","mappings":{"default":{"default":"negrita script y"}},"key":"1D502"},{"category":"Ll","mappings":{"default":{"default":"negrita script z"}},"key":"1D503"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold.js
deleted file mode 100644
index a3a3da38f8..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula A"}},"key":"1D400"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula B"}},"key":"1D401"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula C"}},"key":"1D402"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula D"}},"key":"1D403"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula E"}},"key":"1D404"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula F"}},"key":"1D405"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula G"}},"key":"1D406"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula H"}},"key":"1D407"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula I"}},"key":"1D408"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula J"}},"key":"1D409"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula K"}},"key":"1D40A"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula L"}},"key":"1D40B"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula M"}},"key":"1D40C"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula N"}},"key":"1D40D"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula O"}},"key":"1D40E"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula P"}},"key":"1D40F"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Q"}},"key":"1D410"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula R"}},"key":"1D411"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula S"}},"key":"1D412"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula T"}},"key":"1D413"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula U"}},"key":"1D414"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula V"}},"key":"1D415"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula W"}},"key":"1D416"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula X"}},"key":"1D417"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Y"}},"key":"1D418"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Z"}},"key":"1D419"},{"category":"Ll","mappings":{"default":{"default":"negrita a"}},"key":"1D41A"},{"category":"Ll","mappings":{"default":{"default":"negrita b"}},"key":"1D41B"},{"category":"Ll","mappings":{"default":{"default":"negrita c"}},"key":"1D41C"},{"category":"Ll","mappings":{"default":{"default":"negrita d"}},"key":"1D41D"},{"category":"Ll","mappings":{"default":{"default":"negrita e"}},"key":"1D41E"},{"category":"Ll","mappings":{"default":{"default":"negrita f"}},"key":"1D41F"},{"category":"Ll","mappings":{"default":{"default":"negrita g"}},"key":"1D420"},{"category":"Ll","mappings":{"default":{"default":"negrita h"}},"key":"1D421"},{"category":"Ll","mappings":{"default":{"default":"negrita i"}},"key":"1D422"},{"category":"Ll","mappings":{"default":{"default":"negrita j"}},"key":"1D423"},{"category":"Ll","mappings":{"default":{"default":"negrita k"}},"key":"1D424"},{"category":"Ll","mappings":{"default":{"default":"negrita l"}},"key":"1D425"},{"category":"Ll","mappings":{"default":{"default":"negrita m"}},"key":"1D426"},{"category":"Ll","mappings":{"default":{"default":"negrita n"}},"key":"1D427"},{"category":"Ll","mappings":{"default":{"default":"negrita o"}},"key":"1D428"},{"category":"Ll","mappings":{"default":{"default":"negrita p"}},"key":"1D429"},{"category":"Ll","mappings":{"default":{"default":"negrita q"}},"key":"1D42A"},{"category":"Ll","mappings":{"default":{"default":"negrita r"}},"key":"1D42B"},{"category":"Ll","mappings":{"default":{"default":"negrita s"}},"key":"1D42C"},{"category":"Ll","mappings":{"default":{"default":"negrita t"}},"key":"1D42D"},{"category":"Ll","mappings":{"default":{"default":"negrita u"}},"key":"1D42E"},{"category":"Ll","mappings":{"default":{"default":"negrita v"}},"key":"1D42F"},{"category":"Ll","mappings":{"default":{"default":"negrita w"}},"key":"1D430"},{"category":"Ll","mappings":{"default":{"default":"negrita x"}},"key":"1D431"},{"category":"Ll","mappings":{"default":{"default":"negrita y"}},"key":"1D432"},{"category":"Ll","mappings":{"default":{"default":"negrita z"}},"key":"1D433"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-double-struck.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-double-struck.js
deleted file mode 100644
index 74f9e090d6..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-double-struck.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula A"}},"key":"1D538"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula B"}},"key":"1D539"},{"key":"2102","mappings":{"default":{"default":"negrita de pizarra mayúscula C"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula D"}},"key":"1D53B"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula E"}},"key":"1D53C"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula F"}},"key":"1D53D"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula G"}},"key":"1D53E"},{"key":"210D","mappings":{"default":{"default":"negrita de pizarra mayúscula H"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula I"}},"key":"1D540"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula J"}},"key":"1D541"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula K"}},"key":"1D542"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula L"}},"key":"1D543"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula M"}},"key":"1D544"},{"key":"2115","mappings":{"default":{"default":"negrita de pizarra mayúscula N"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula O"}},"key":"1D546"},{"key":"2119","mappings":{"default":{"default":"negrita de pizarra mayúscula P"}},"category":"Lu"},{"key":"211A","mappings":{"default":{"default":"negrita de pizarra mayúscula Q"}},"category":"Lu"},{"key":"211D","mappings":{"default":{"default":"negrita de pizarra mayúscula R","defaultMP":"R mayúscula negrita"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula S"}},"key":"1D54A"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula T"}},"key":"1D54B"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula U"}},"key":"1D54C"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula V"}},"key":"1D54D"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula W"}},"key":"1D54E"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula X"}},"key":"1D54F"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula Y"}},"key":"1D550"},{"key":"2124","mappings":{"default":{"default":"negrita de pizarra mayúscula Z"}},"category":"Lu"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra a"}},"key":"1D552"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra b"}},"key":"1D553"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra c"}},"key":"1D554"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra d"}},"key":"1D555"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra e"}},"key":"1D556"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra f"}},"key":"1D557"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra g"}},"key":"1D558"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra h"}},"key":"1D559"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra i"}},"key":"1D55A"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra j"}},"key":"1D55B"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra k"}},"key":"1D55C"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra l"}},"key":"1D55D"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra m"}},"key":"1D55E"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra n"}},"key":"1D55F"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra o"}},"key":"1D560"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra p"}},"key":"1D561"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra q"}},"key":"1D562"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra r"}},"key":"1D563"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra s"}},"key":"1D564"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra t"}},"key":"1D565"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra u"}},"key":"1D566"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra v"}},"key":"1D567"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra w"}},"key":"1D568"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra x"}},"key":"1D569"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra y"}},"key":"1D56A"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra z"}},"key":"1D56B"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-fraktur.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-fraktur.js
deleted file mode 100644
index a1d821e74c..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-fraktur.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula A"}},"key":"1D504"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula B"}},"key":"1D505"},{"key":"212D","mappings":{"default":{"default":"Fraktur mayúscula C"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula D"}},"key":"1D507"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula E"}},"key":"1D508"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula F"}},"key":"1D509"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula G"}},"key":"1D50A"},{"key":"210C","mappings":{"default":{"default":"Fraktur mayúscula H"}},"category":"Lu"},{"key":"2111","mappings":{"default":{"default":"Fraktur mayúscula I"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula J"}},"key":"1D50D"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula K"}},"key":"1D50E"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula L"}},"key":"1D50F"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula M"}},"key":"1D510"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula N"}},"key":"1D511"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula O"}},"key":"1D512"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula P"}},"key":"1D513"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula Q"}},"key":"1D514"},{"key":"211C","mappings":{"default":{"default":"Fraktur mayúscula R"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula S"}},"key":"1D516"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula T"}},"key":"1D517"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula U"}},"key":"1D518"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula V"}},"key":"1D519"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula W"}},"key":"1D51A"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula X"}},"key":"1D51B"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula Y"}},"key":"1D51C"},{"key":"2128","mappings":{"default":{"default":"Fraktur mayúscula Z"}},"category":"Lu"},{"category":"Ll","mappings":{"default":{"default":"Fraktur a"}},"key":"1D51E"},{"category":"Ll","mappings":{"default":{"default":"Fraktur b"}},"key":"1D51F"},{"category":"Ll","mappings":{"default":{"default":"Fraktur c"}},"key":"1D520"},{"category":"Ll","mappings":{"default":{"default":"Fraktur d"}},"key":"1D521"},{"category":"Ll","mappings":{"default":{"default":"Fraktur e"}},"key":"1D522"},{"category":"Ll","mappings":{"default":{"default":"Fraktur f"}},"key":"1D523"},{"category":"Ll","mappings":{"default":{"default":"Fraktur g"}},"key":"1D524"},{"category":"Ll","mappings":{"default":{"default":"Fraktur h"}},"key":"1D525"},{"category":"Ll","mappings":{"default":{"default":"Fraktur i"}},"key":"1D526"},{"category":"Ll","mappings":{"default":{"default":"Fraktur j"}},"key":"1D527"},{"category":"Ll","mappings":{"default":{"default":"Fraktur k"}},"key":"1D528"},{"category":"Ll","mappings":{"default":{"default":"Fraktur l"}},"key":"1D529"},{"category":"Ll","mappings":{"default":{"default":"Fraktur m"}},"key":"1D52A"},{"category":"Ll","mappings":{"default":{"default":"Fraktur n"}},"key":"1D52B"},{"category":"Ll","mappings":{"default":{"default":"Fraktur o"}},"key":"1D52C"},{"category":"Ll","mappings":{"default":{"default":"Fraktur p"}},"key":"1D52D"},{"category":"Ll","mappings":{"default":{"default":"Fraktur q"}},"key":"1D52E"},{"category":"Ll","mappings":{"default":{"default":"Fraktur r"}},"key":"1D52F"},{"category":"Ll","mappings":{"default":{"default":"Fraktur s"}},"key":"1D530"},{"category":"Ll","mappings":{"default":{"default":"Fraktur t"}},"key":"1D531"},{"category":"Ll","mappings":{"default":{"default":"Fraktur u"}},"key":"1D532"},{"category":"Ll","mappings":{"default":{"default":"Fraktur v"}},"key":"1D533"},{"category":"Ll","mappings":{"default":{"default":"Fraktur w"}},"key":"1D534"},{"category":"Ll","mappings":{"default":{"default":"Fraktur x"}},"key":"1D535"},{"category":"Ll","mappings":{"default":{"default":"Fraktur y"}},"key":"1D536"},{"category":"Ll","mappings":{"default":{"default":"Fraktur z"}},"key":"1D537"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-italic.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-italic.js
deleted file mode 100644
index a483114fdd..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-italic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula A"}},"key":"1D434"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula B"}},"key":"1D435"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula C"}},"key":"1D436"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula D"}},"key":"1D437"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula E"}},"key":"1D438"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula F"}},"key":"1D439"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula G"}},"key":"1D43A"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula H"}},"key":"1D43B"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula I"}},"key":"1D43C"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula J"}},"key":"1D43D"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula K"}},"key":"1D43E"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula L"}},"key":"1D43F"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula M"}},"key":"1D440"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula N"}},"key":"1D441"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula O"}},"key":"1D442"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula P"}},"key":"1D443"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Q"}},"key":"1D444"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula R"}},"key":"1D445"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula S"}},"key":"1D446"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula T"}},"key":"1D447"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula U"}},"key":"1D448"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula V"}},"key":"1D449"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula W"}},"key":"1D44A"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula X"}},"key":"1D44B"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Y"}},"key":"1D44C"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Z"}},"key":"1D44D"},{"category":"Ll","mappings":{"default":{"default":"cursiva a"}},"key":"1D44E"},{"category":"Ll","mappings":{"default":{"default":"cursiva b"}},"key":"1D44F"},{"category":"Ll","mappings":{"default":{"default":"cursiva c"}},"key":"1D450"},{"category":"Ll","mappings":{"default":{"default":"cursiva d"}},"key":"1D451"},{"category":"Ll","mappings":{"default":{"default":"cursiva e"}},"key":"1D452"},{"category":"Ll","mappings":{"default":{"default":"cursiva f"}},"key":"1D453"},{"category":"Ll","mappings":{"default":{"default":"cursiva g"}},"key":"1D454"},{"key":"210E","mappings":{"default":{"default":"constante de Planck"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"cursiva i"}},"key":"1D456"},{"category":"Ll","mappings":{"default":{"default":"cursiva j"}},"key":"1D457"},{"category":"Ll","mappings":{"default":{"default":"cursiva k"}},"key":"1D458"},{"category":"Ll","mappings":{"default":{"default":"cursiva l"}},"key":"1D459"},{"category":"Ll","mappings":{"default":{"default":"cursiva m"}},"key":"1D45A"},{"category":"Ll","mappings":{"default":{"default":"cursiva n"}},"key":"1D45B"},{"category":"Ll","mappings":{"default":{"default":"cursiva o"}},"key":"1D45C"},{"category":"Ll","mappings":{"default":{"default":"cursiva p"}},"key":"1D45D"},{"category":"Ll","mappings":{"default":{"default":"cursiva q"}},"key":"1D45E"},{"category":"Ll","mappings":{"default":{"default":"cursiva r"}},"key":"1D45F"},{"category":"Ll","mappings":{"default":{"default":"cursiva s"}},"key":"1D460"},{"category":"Ll","mappings":{"default":{"default":"cursiva t"}},"key":"1D461"},{"category":"Ll","mappings":{"default":{"default":"cursiva u"}},"key":"1D462"},{"category":"Ll","mappings":{"default":{"default":"cursiva v"}},"key":"1D463"},{"category":"Ll","mappings":{"default":{"default":"cursiva w"}},"key":"1D464"},{"category":"Ll","mappings":{"default":{"default":"cursiva x"}},"key":"1D465"},{"category":"Ll","mappings":{"default":{"default":"cursiva y"}},"key":"1D466"},{"category":"Ll","mappings":{"default":{"default":"cursiva z"}},"key":"1D467"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-monospace.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-monospace.js
deleted file mode 100644
index c0c63a0dbf..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-monospace.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula A"}},"key":"1D670"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula B"}},"key":"1D671"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula C"}},"key":"1D672"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula D"}},"key":"1D673"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula E"}},"key":"1D674"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula F"}},"key":"1D675"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula G"}},"key":"1D676"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula H"}},"key":"1D677"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula I"}},"key":"1D678"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula J"}},"key":"1D679"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula K"}},"key":"1D67A"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula L"}},"key":"1D67B"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula M"}},"key":"1D67C"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula N"}},"key":"1D67D"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula O"}},"key":"1D67E"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula P"}},"key":"1D67F"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula Q"}},"key":"1D680"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula R"}},"key":"1D681"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula S"}},"key":"1D682"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula T"}},"key":"1D683"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula U"}},"key":"1D684"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula V"}},"key":"1D685"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula W"}},"key":"1D686"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula X"}},"key":"1D687"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula Y"}},"key":"1D688"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula Z"}},"key":"1D689"},{"category":"Ll","mappings":{"default":{"default":"monoespacio a"}},"key":"1D68A"},{"category":"Ll","mappings":{"default":{"default":"monoespacio b"}},"key":"1D68B"},{"category":"Ll","mappings":{"default":{"default":"monoespacio c"}},"key":"1D68C"},{"category":"Ll","mappings":{"default":{"default":"monoespacio d"}},"key":"1D68D"},{"category":"Ll","mappings":{"default":{"default":"monoespacio e"}},"key":"1D68E"},{"category":"Ll","mappings":{"default":{"default":"monoespacio f"}},"key":"1D68F"},{"category":"Ll","mappings":{"default":{"default":"monoespacio g"}},"key":"1D690"},{"category":"Ll","mappings":{"default":{"default":"monoespacio h"}},"key":"1D691"},{"category":"Ll","mappings":{"default":{"default":"monoespacio i"}},"key":"1D692"},{"category":"Ll","mappings":{"default":{"default":"monoespacio j"}},"key":"1D693"},{"category":"Ll","mappings":{"default":{"default":"monoespacio k"}},"key":"1D694"},{"category":"Ll","mappings":{"default":{"default":"monoespacio l"}},"key":"1D695"},{"category":"Ll","mappings":{"default":{"default":"monoespacio m"}},"key":"1D696"},{"category":"Ll","mappings":{"default":{"default":"monoespacio n"}},"key":"1D697"},{"category":"Ll","mappings":{"default":{"default":"monoespacio o"}},"key":"1D698"},{"category":"Ll","mappings":{"default":{"default":"monoespacio p"}},"key":"1D699"},{"category":"Ll","mappings":{"default":{"default":"monoespacio q"}},"key":"1D69A"},{"category":"Ll","mappings":{"default":{"default":"monoespacio r"}},"key":"1D69B"},{"category":"Ll","mappings":{"default":{"default":"monoespacio s"}},"key":"1D69C"},{"category":"Ll","mappings":{"default":{"default":"monoespacio t"}},"key":"1D69D"},{"category":"Ll","mappings":{"default":{"default":"monoespacio u"}},"key":"1D69E"},{"category":"Ll","mappings":{"default":{"default":"monoespacio v"}},"key":"1D69F"},{"category":"Ll","mappings":{"default":{"default":"monoespacio w"}},"key":"1D6A0"},{"category":"Ll","mappings":{"default":{"default":"monoespacio x"}},"key":"1D6A1"},{"category":"Ll","mappings":{"default":{"default":"monoespacio y"}},"key":"1D6A2"},{"category":"Ll","mappings":{"default":{"default":"monoespacio z"}},"key":"1D6A3"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif-bold.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif-bold.js
deleted file mode 100644
index 63dfc12ae6..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif-bold.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula A"}},"key":"1D5D4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula B"}},"key":"1D5D5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula C"}},"key":"1D5D6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula D"}},"key":"1D5D7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula E"}},"key":"1D5D8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula F"}},"key":"1D5D9"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula G"}},"key":"1D5DA"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula H"}},"key":"1D5DB"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula I"}},"key":"1D5DC"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula J"}},"key":"1D5DD"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula K"}},"key":"1D5DE"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula L"}},"key":"1D5DF"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula M"}},"key":"1D5E0"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula N"}},"key":"1D5E1"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula O"}},"key":"1D5E2"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula P"}},"key":"1D5E3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Q"}},"key":"1D5E4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula R"}},"key":"1D5E5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula S"}},"key":"1D5E6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula T"}},"key":"1D5E7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula U"}},"key":"1D5E8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula V"}},"key":"1D5E9"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula W"}},"key":"1D5EA"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula X"}},"key":"1D5EB"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Y"}},"key":"1D5EC"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Z"}},"key":"1D5ED"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita a"}},"key":"1D5EE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita b"}},"key":"1D5EF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita c"}},"key":"1D5F0"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita d"}},"key":"1D5F1"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita e"}},"key":"1D5F2"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita f"}},"key":"1D5F3"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita g"}},"key":"1D5F4"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita h"}},"key":"1D5F5"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita i"}},"key":"1D5F6"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita j"}},"key":"1D5F7"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita k"}},"key":"1D5F8"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita l"}},"key":"1D5F9"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita m"}},"key":"1D5FA"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita n"}},"key":"1D5FB"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita o"}},"key":"1D5FC"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita p"}},"key":"1D5FD"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita q"}},"key":"1D5FE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita r"}},"key":"1D5FF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita s"}},"key":"1D600"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita t"}},"key":"1D601"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita u"}},"key":"1D602"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita v"}},"key":"1D603"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita w"}},"key":"1D604"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita x"}},"key":"1D605"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita y"}},"key":"1D606"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita z"}},"key":"1D607"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif-italic.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif-italic.js
deleted file mode 100644
index 3177f27cde..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif-italic.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula A"}},"key":"1D608"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula B"}},"key":"1D609"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula C"}},"key":"1D60A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula D"}},"key":"1D60B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula E"}},"key":"1D60C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula F"}},"key":"1D60D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula G"}},"key":"1D60E"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula H"}},"key":"1D60F"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula I"}},"key":"1D610"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula J"}},"key":"1D611"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula K"}},"key":"1D612"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula L"}},"key":"1D613"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula M"}},"key":"1D614"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula N"}},"key":"1D615"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula O"}},"key":"1D616"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula P"}},"key":"1D617"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula Q"}},"key":"1D618"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula R"}},"key":"1D619"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula S"}},"key":"1D61A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula T"}},"key":"1D61B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula U"}},"key":"1D61C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula V"}},"key":"1D61D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula W"}},"key":"1D61E"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula X"}},"key":"1D61F"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula Y"}},"key":"1D620"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula Z"}},"key":"1D621"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva a"}},"key":"1D622"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva b"}},"key":"1D623"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva c"}},"key":"1D624"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva d"}},"key":"1D625"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva e"}},"key":"1D626"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva f"}},"key":"1D627"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva g"}},"key":"1D628"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva h"}},"key":"1D629"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva i"}},"key":"1D62A"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva j"}},"key":"1D62B"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva k"}},"key":"1D62C"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva l"}},"key":"1D62D"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva m"}},"key":"1D62E"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva n"}},"key":"1D62F"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva o"}},"key":"1D630"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva p"}},"key":"1D631"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva q"}},"key":"1D632"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva r"}},"key":"1D633"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva s"}},"key":"1D634"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva t"}},"key":"1D635"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva u"}},"key":"1D636"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva v"}},"key":"1D637"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva w"}},"key":"1D638"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva x"}},"key":"1D639"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva y"}},"key":"1D63A"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva z"}},"key":"1D63B"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif.js
deleted file mode 100644
index cf133edd43..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-sans-serif.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula A"}},"key":"1D5A0"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula B"}},"key":"1D5A1"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula C"}},"key":"1D5A2"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula D"}},"key":"1D5A3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula E"}},"key":"1D5A4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula F"}},"key":"1D5A5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula G"}},"key":"1D5A6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula H"}},"key":"1D5A7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula I"}},"key":"1D5A8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula J"}},"key":"1D5A9"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula K"}},"key":"1D5AA"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula L"}},"key":"1D5AB"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula M"}},"key":"1D5AC"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula N"}},"key":"1D5AD"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula O"}},"key":"1D5AE"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula P"}},"key":"1D5AF"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula Q"}},"key":"1D5B0"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula R"}},"key":"1D5B1"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula S"}},"key":"1D5B2"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula T"}},"key":"1D5B3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula U"}},"key":"1D5B4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula V"}},"key":"1D5B5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula W"}},"key":"1D5B6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula X"}},"key":"1D5B7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula Y"}},"key":"1D5B8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula Z"}},"key":"1D5B9"},{"category":"Ll","mappings":{"default":{"default":"sans-serif a"}},"key":"1D5BA"},{"category":"Ll","mappings":{"default":{"default":"sans-serif b"}},"key":"1D5BB"},{"category":"Ll","mappings":{"default":{"default":"sans-serif c"}},"key":"1D5BC"},{"category":"Ll","mappings":{"default":{"default":"sans-serif d"}},"key":"1D5BD"},{"category":"Ll","mappings":{"default":{"default":"sans-serif e"}},"key":"1D5BE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif f"}},"key":"1D5BF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif g"}},"key":"1D5C0"},{"category":"Ll","mappings":{"default":{"default":"sans-serif h"}},"key":"1D5C1"},{"category":"Ll","mappings":{"default":{"default":"sans-serif i"}},"key":"1D5C2"},{"category":"Ll","mappings":{"default":{"default":"sans-serif j"}},"key":"1D5C3"},{"category":"Ll","mappings":{"default":{"default":"sans-serif k"}},"key":"1D5C4"},{"category":"Ll","mappings":{"default":{"default":"sans-serif l"}},"key":"1D5C5"},{"category":"Ll","mappings":{"default":{"default":"sans-serif m"}},"key":"1D5C6"},{"category":"Ll","mappings":{"default":{"default":"sans-serif n"}},"key":"1D5C7"},{"category":"Ll","mappings":{"default":{"default":"sans-serif o"}},"key":"1D5C8"},{"category":"Ll","mappings":{"default":{"default":"sans-serif p"}},"key":"1D5C9"},{"category":"Ll","mappings":{"default":{"default":"sans-serif q"}},"key":"1D5CA"},{"category":"Ll","mappings":{"default":{"default":"sans-serif r"}},"key":"1D5CB"},{"category":"Ll","mappings":{"default":{"default":"sans-serif s"}},"key":"1D5CC"},{"category":"Ll","mappings":{"default":{"default":"sans-serif t"}},"key":"1D5CD"},{"category":"Ll","mappings":{"default":{"default":"sans-serif u"}},"key":"1D5CE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif v"}},"key":"1D5CF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif w"}},"key":"1D5D0"},{"category":"Ll","mappings":{"default":{"default":"sans-serif x"}},"key":"1D5D1"},{"category":"Ll","mappings":{"default":{"default":"sans-serif y"}},"key":"1D5D2"},{"category":"Ll","mappings":{"default":{"default":"sans-serif z"}},"key":"1D5D3"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-script.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-script.js
deleted file mode 100644
index 8a40a97dab..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-mathfonts-script.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula A"}},"key":"1D49C"},{"key":"212C","mappings":{"default":{"default":"script mayúscula B"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula C"}},"key":"1D49E"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula D"}},"key":"1D49F"},{"key":"2130","mappings":{"default":{"default":"script mayúscula E"}},"category":"Lu"},{"key":"2131","mappings":{"default":{"default":"script mayúscula F"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula G"}},"key":"1D4A2"},{"key":"210B","mappings":{"default":{"default":"script mayúscula H"}},"category":"Lu"},{"key":"2110","mappings":{"default":{"default":"script mayúscula I"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula J"}},"key":"1D4A5"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula K"}},"key":"1D4A6"},{"key":"2112","mappings":{"default":{"default":"script mayúscula L"}},"category":"Lu"},{"key":"2133","mappings":{"default":{"default":"script mayúscula M"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula N"}},"key":"1D4A9"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula O"}},"key":"1D4AA"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula P"}},"key":"1D4AB"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula Q"}},"key":"1D4AC"},{"key":"211B","mappings":{"default":{"default":"script mayúscula R"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula S"}},"key":"1D4AE"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula T"}},"key":"1D4AF"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula U"}},"key":"1D4B0"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula V"}},"key":"1D4B1"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula W"}},"key":"1D4B2"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula X"}},"key":"1D4B3"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula Y"}},"key":"1D4B4"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula Z"}},"key":"1D4B5"},{"category":"Ll","mappings":{"default":{"default":"script a"}},"key":"1D4B6"},{"category":"Ll","mappings":{"default":{"default":"script b"}},"key":"1D4B7"},{"category":"Ll","mappings":{"default":{"default":"script c"}},"key":"1D4B8"},{"category":"Ll","mappings":{"default":{"default":"script d"}},"key":"1D4B9"},{"key":"212F","mappings":{"default":{"default":"script e"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"script f"}},"key":"1D4BB"},{"key":"210A","mappings":{"default":{"default":"script g"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"script h"}},"key":"1D4BD"},{"category":"Ll","mappings":{"default":{"default":"script i"}},"key":"1D4BE"},{"category":"Ll","mappings":{"default":{"default":"script j"}},"key":"1D4BF"},{"category":"Ll","mappings":{"default":{"default":"script k"}},"key":"1D4C0"},{"category":"Ll","mappings":{"default":{"default":"script l"}},"key":"1D4C1"},{"category":"Ll","mappings":{"default":{"default":"script m"}},"key":"1D4C2"},{"category":"Ll","mappings":{"default":{"default":"script n"}},"key":"1D4C3"},{"key":"2134","mappings":{"default":{"default":"script o"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"script p"}},"key":"1D4C5"},{"category":"Ll","mappings":{"default":{"default":"script q"}},"key":"1D4C6"},{"category":"Ll","mappings":{"default":{"default":"script r"}},"key":"1D4C7"},{"category":"Ll","mappings":{"default":{"default":"script s"}},"key":"1D4C8"},{"category":"Ll","mappings":{"default":{"default":"script t"}},"key":"1D4C9"},{"category":"Ll","mappings":{"default":{"default":"script u"}},"key":"1D4CA"},{"category":"Ll","mappings":{"default":{"default":"script v"}},"key":"1D4CB"},{"category":"Ll","mappings":{"default":{"default":"script w"}},"key":"1D4CC"},{"category":"Ll","mappings":{"default":{"default":"script x"}},"key":"1D4CD"},{"category":"Ll","mappings":{"default":{"default":"script y"}},"key":"1D4CE"},{"category":"Ll","mappings":{"default":{"default":"script z"}},"key":"1D4CF"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-rest.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-rest.js
deleted file mode 100644
index e740a8010f..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-rest.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"24C8","mappings":{"default":{"default":"S en círculo"}},"category":"So"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-upper-double-accent.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-upper-double-accent.js
deleted file mode 100644
index 1092644d86..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-upper-double-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"1E08","mappings":{"default":{"default":"mayúscula C con cedilla y agudo"}},"category":"Lu"},{"key":"1E14","mappings":{"default":{"default":"mayúscula E con macrón y grave"}},"category":"Lu"},{"key":"1E16","mappings":{"default":{"default":"mayúscula E con macrón y agudo"}},"category":"Lu"},{"key":"1E1C","mappings":{"default":{"default":"mayúscula E with cedilla and breve"}},"category":"Lu"},{"key":"1E2E","mappings":{"default":{"default":"mayúscula I con diéresis y agudo"}},"category":"Lu"},{"key":"1E38","mappings":{"default":{"default":"mayúscula L con punto debajo y macrón"}},"category":"Lu"},{"key":"1E4C","mappings":{"default":{"default":"mayúscula O con tilde y acute"}},"category":"Lu"},{"key":"1E4E","mappings":{"default":{"default":"mayúscula O con tilde y diéresis"}},"category":"Lu"},{"key":"1E50","mappings":{"default":{"default":"mayúscula O con macrón y grave"}},"category":"Lu"},{"key":"1E52","mappings":{"default":{"default":"mayúscula O con macrón y agudo"}},"category":"Lu"},{"key":"1E5C","mappings":{"default":{"default":"mayúscula R con punto debajo y macrón"}},"category":"Lu"},{"key":"1E64","mappings":{"default":{"default":"mayúscula S con agudo y punto arriba"}},"category":"Lu"},{"key":"1E66","mappings":{"default":{"default":"mayúscula S con carón y punto arriba"}},"category":"Lu"},{"key":"1E68","mappings":{"default":{"default":"mayúscula S con punto debajo y punto arriba"}},"category":"Lu"},{"key":"1E78","mappings":{"default":{"default":"mayúscula U con tilde y agudo"}},"category":"Lu"},{"key":"1E7A","mappings":{"default":{"default":"mayúscula U con macrón y diéresis"}},"category":"Lu"},{"key":"1EA4","mappings":{"default":{"default":"mayúscula A con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EA6","mappings":{"default":{"default":"mayúscula A con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EA8","mappings":{"default":{"default":"mayúscula A con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EAA","mappings":{"default":{"default":"mayúscula A con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EAC","mappings":{"default":{"default":"mayúscula A con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EAE","mappings":{"default":{"default":"mayúscula A con breve y agudo"}},"category":"Lu"},{"key":"1EB0","mappings":{"default":{"default":"mayúscula A con breve y grave"}},"category":"Lu"},{"key":"1EB2","mappings":{"default":{"default":"mayúscula A con breve y gancho arriba"}},"category":"Lu"},{"key":"1EB4","mappings":{"default":{"default":"mayúscula A con breve y tilde"}},"category":"Lu"},{"key":"1EB6","mappings":{"default":{"default":"mayúscula A con breve y punto debajo"}},"category":"Lu"},{"key":"1EBE","mappings":{"default":{"default":"mayúscula E con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EC0","mappings":{"default":{"default":"mayúscula E con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EC2","mappings":{"default":{"default":"mayúscula E con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EC4","mappings":{"default":{"default":"mayúscula E con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EC6","mappings":{"default":{"default":"mayúscula E con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1ED0","mappings":{"default":{"default":"mayúscula O con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1ED2","mappings":{"default":{"default":"mayúscula O con acento circunflejo y grave"}},"category":"Lu"},{"key":"1ED4","mappings":{"default":{"default":"mayúscula O con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1ED6","mappings":{"default":{"default":"mayúscula O con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1ED8","mappings":{"default":{"default":"mayúscula O con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EDA","mappings":{"default":{"default":"mayúscula O with horn and acute"}},"category":"Lu"},{"key":"1EDC","mappings":{"default":{"default":"mayúscula O with horn and grave"}},"category":"Lu"},{"key":"1EDE","mappings":{"default":{"default":"mayúscula O with horn and hook above"}},"category":"Lu"},{"key":"1EE0","mappings":{"default":{"default":"mayúscula O with horn and tilde"}},"category":"Lu"},{"key":"1EE2","mappings":{"default":{"default":"mayúscula O con cuerno y punto debajo"}},"category":"Lu"},{"key":"1EE8","mappings":{"default":{"default":"mayúscula U con cuerno y agudo"}},"category":"Lu"},{"key":"1EEA","mappings":{"default":{"default":"mayúscula U con cuerno y grave"}},"category":"Lu"},{"key":"1EEC","mappings":{"default":{"default":"mayúscula U con cuerno y gancho arriba"}},"category":"Lu"},{"key":"1EEE","mappings":{"default":{"default":"mayúscula U con cuerno y tilde"}},"category":"Lu"},{"key":"1EF0","mappings":{"default":{"default":"mayúscula U con cuerno y punto debajo"}},"category":"Lu"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-upper-normal.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-upper-normal.js
deleted file mode 100644
index 0a07dce6d6..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-upper-normal.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"0041","mappings":{"default":{"default":"mayúscula A"}},"category":"Lu"},{"key":"0042","mappings":{"default":{"default":"mayúscula B"}},"category":"Lu"},{"key":"0043","mappings":{"default":{"default":"mayúscula C"}},"category":"Lu"},{"key":"0044","mappings":{"default":{"default":"mayúscula D"}},"category":"Lu"},{"key":"0045","mappings":{"default":{"default":"mayúscula E"}},"category":"Lu"},{"key":"0046","mappings":{"default":{"default":"mayúscula F"}},"category":"Lu"},{"key":"0047","mappings":{"default":{"default":"mayúscula G"}},"category":"Lu"},{"key":"0048","mappings":{"default":{"default":"mayúscula H"}},"category":"Lu"},{"key":"0049","mappings":{"default":{"default":"mayúscula I"}},"category":"Lu"},{"key":"004A","mappings":{"default":{"default":"mayúscula J"}},"category":"Lu"},{"key":"004B","mappings":{"default":{"default":"mayúscula K"}},"category":"Lu"},{"key":"004C","mappings":{"default":{"default":"mayúscula L"}},"category":"Lu"},{"key":"004D","mappings":{"default":{"default":"mayúscula M"}},"category":"Lu"},{"key":"004E","mappings":{"default":{"default":"mayúscula N"}},"category":"Lu"},{"key":"004F","mappings":{"default":{"default":"mayúscula O"}},"category":"Lu"},{"key":"0050","mappings":{"default":{"default":"mayúscula P"}},"category":"Lu"},{"key":"0051","mappings":{"default":{"default":"mayúscula Q"}},"category":"Lu"},{"key":"0052","mappings":{"default":{"default":"mayúscula R"}},"category":"Lu"},{"key":"0053","mappings":{"default":{"default":"mayúscula S"}},"category":"Lu"},{"key":"0054","mappings":{"default":{"default":"mayúscula T"}},"category":"Lu"},{"key":"0055","mappings":{"default":{"default":"mayúscula U"}},"category":"Lu"},{"key":"0056","mappings":{"default":{"default":"mayúscula V"}},"category":"Lu"},{"key":"0057","mappings":{"default":{"default":"mayúscula W"}},"category":"Lu"},{"key":"0058","mappings":{"default":{"default":"mayúscula X"}},"category":"Lu"},{"key":"0059","mappings":{"default":{"default":"mayúscula Y","defaultMP":"Ye"}},"category":"Lu"},{"key":"005A","mappings":{"default":{"default":"mayúscula Z"}},"category":"Lu"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-upper-single-accent.js b/unpacked/extensions/a11y/mathmaps/es/symbols/latin-upper-single-accent.js
deleted file mode 100644
index 29780922da..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/latin-upper-single-accent.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"00C0","mappings":{"default":{"default":"mayúscula A grave"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"mayúscula A aguda"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"mayúscula A acento circunflejo"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"mayúscula A con tilde"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"mayúscula A diéresis"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"mayúscula A con anillo"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"mayúscula C cedilla"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"mayúscula E grave"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"mayúscula E aguda"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"mayúscula E acento circunflejo"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"mayúscula E diéresis"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"mayúscula I grave"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"mayúscula I aguda"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"mayúscula I acento circumflejo"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"mayúscula I diéresis"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"mayúscula Ñ"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"mayúscula O grave"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"mayúscula O aguda"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"mayúscula O acento circunflejo"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"mayúscula O con tilde"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"mayúscula O diéresis"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"mayúscula U grave"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"mayúscula U aguda"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"mayúscula U acento circunflejo"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"mayúscula U diéresis"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"mayúscula Y aguda"}},"category":"Lu"},{"key":"0100","mappings":{"default":{"default":"mayúscula A barra"}},"category":"Lu"},{"key":"0102","mappings":{"default":{"default":"mayúscula A con breve"}},"category":"Lu"},{"key":"0104","mappings":{"default":{"default":"mayúscula A con ogonek"}},"category":"Lu"},{"key":"0106","mappings":{"default":{"default":"mayúscula C con agudo"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"mayúscula C con acento circunflejo"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"mayúscula C con punto arriba"}},"category":"Lu"},{"key":"010C","mappings":{"default":{"default":"mayúscula C con carón"}},"category":"Lu"},{"key":"010E","mappings":{"default":{"default":"mayúscula D con carón"}},"category":"Lu"},{"key":"0112","mappings":{"default":{"default":"mayúscula E barra"}},"category":"Lu"},{"key":"0116","mappings":{"default":{"default":"mayúscula E con punto arriba"}},"category":"Lu"},{"key":"0118","mappings":{"default":{"default":"mayúscula E con ogonek"}},"category":"Lu"},{"key":"011A","mappings":{"default":{"default":"mayúscula E con carón"}},"category":"Lu"},{"key":"011C","mappings":{"default":{"default":"mayúscula G con acento circunflejo"}},"category":"Lu"},{"key":"011E","mappings":{"default":{"default":"mayúscula G con breve"}},"category":"Lu"},{"key":"0120","mappings":{"default":{"default":"mayúscula G con punto arriba"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"mayúscula G con cedilla"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"mayúscula H con acento circunflejo"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"mayúscula I con tilde"}},"category":"Lu"},{"key":"012A","mappings":{"default":{"default":"mayúscula I barra"}},"category":"Lu"},{"key":"012E","mappings":{"default":{"default":"mayúscula I con ogonek"}},"category":"Lu"},{"key":"0130","mappings":{"default":{"default":"mayúscula I con punto arriba"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"mayúscula J con acento circunflejo"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"mayúscula K con cedilla"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"mayúscula L con agudo"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"mayúscula L con cedilla"}},"category":"Lu"},{"key":"013D","mappings":{"default":{"default":"mayúscula L con carón"}},"category":"Lu"},{"key":"013F","mappings":{"default":{"default":"mayúscula L con punto mediano"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"mayúscula N con agudo"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"mayúscula N con cedilla"}},"category":"Lu"},{"key":"0147","mappings":{"default":{"default":"mayúscula n con carón"}},"category":"Lu"},{"key":"014C","mappings":{"default":{"default":"mayúscula O barra"}},"category":"Lu"},{"key":"0150","mappings":{"default":{"default":"mayúscula O con doble acento agudo "}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"mayúscula R con agudo"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"mayúscula R con cedilla"}},"category":"Lu"},{"key":"0158","mappings":{"default":{"default":"mayúscula R con carón"}},"category":"Lu"},{"key":"015A","mappings":{"default":{"default":"mayúscula S con agudo"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"mayúscula S con acento circunflejo"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"mayúscula S con cedilla"}},"category":"Lu"},{"key":"0160","mappings":{"default":{"default":"mayúscula S con carón"}},"category":"Lu"},{"key":"0162","mappings":{"default":{"default":"mayúscula T con cedilla"}},"category":"Lu"},{"key":"0164","mappings":{"default":{"default":"mayúscula T con carón"}},"category":"Lu"},{"key":"0168","mappings":{"default":{"default":"mayúscula U con tilde"}},"category":"Lu"},{"key":"016A","mappings":{"default":{"default":"mayúscula U barra"}},"category":"Lu"},{"key":"016C","mappings":{"default":{"default":"mayúscula U con breve"}},"category":"Lu"},{"key":"016E","mappings":{"default":{"default":"mayúscula U con anillo arriba"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"mayúscula U con doble acento agudo"}},"category":"Lu"},{"key":"0172","mappings":{"default":{"default":"mayúscula U con ogonek"}},"category":"Lu"},{"key":"0174","mappings":{"default":{"default":"mayúscula W con acento circunflejo"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"mayúscula Y con circunflejo"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"mayúscula Y diéresis"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"mayúscula Z con agudo"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"mayúscula Z con punto"}},"category":"Lu"},{"key":"017D","mappings":{"default":{"default":"mayúscula Z con carón"}},"category":"Lu"},{"key":"1E00","mappings":{"default":{"default":"mayúscula A con anillo debajo"}},"category":"Lu"},{"key":"1E02","mappings":{"default":{"default":"mayúscula B con punto arriba"}},"category":"Lu"},{"key":"1E04","mappings":{"default":{"default":"mayúscula B con punto debajo"}},"category":"Lu"},{"key":"1E06","mappings":{"default":{"default":"mayúscula B con línea debajo"}},"category":"Lu"},{"key":"1E0A","mappings":{"default":{"default":"mayúscula D con punto arriba"}},"category":"Lu"},{"key":"1E0C","mappings":{"default":{"default":"mayúscula D con punto debajo"}},"category":"Lu"},{"key":"1E0E","mappings":{"default":{"default":"mayúscula D con línea debajo"}},"category":"Lu"},{"key":"1E10","mappings":{"default":{"default":"mayúscula D con cedilla"}},"category":"Lu"},{"key":"1E12","mappings":{"default":{"default":"mayúscula D con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E18","mappings":{"default":{"default":"mayúscula E con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E1A","mappings":{"default":{"default":"mayúscula E con tilde debajo"}},"category":"Lu"},{"key":"1E1E","mappings":{"default":{"default":"mayúscula F con punto arriba"}},"category":"Lu"},{"key":"1E20","mappings":{"default":{"default":"mayúscula G con macrón"}},"category":"Lu"},{"key":"1E22","mappings":{"default":{"default":"mayúscula H con punto arriba"}},"category":"Lu"},{"key":"1E24","mappings":{"default":{"default":"mayúscula H con punto debajo"}},"category":"Lu"},{"key":"1E26","mappings":{"default":{"default":"mayúscula H con diéresis"}},"category":"Lu"},{"key":"1E28","mappings":{"default":{"default":"mayúscula H con cedilla"}},"category":"Lu"},{"key":"1E2A","mappings":{"default":{"default":"mayúscula H con breve debajo"}},"category":"Lu"},{"key":"1E2C","mappings":{"default":{"default":"mayúscula I con tilde debajo"}},"category":"Lu"},{"key":"1E30","mappings":{"default":{"default":"mayúscula K con agudo"}},"category":"Lu"},{"key":"1E32","mappings":{"default":{"default":"mayúscula K con punto debajo"}},"category":"Lu"},{"key":"1E34","mappings":{"default":{"default":"mayúscula K con línea debajo"}},"category":"Lu"},{"key":"1E36","mappings":{"default":{"default":"mayúscula L con punto debajo"}},"category":"Lu"},{"key":"1E3A","mappings":{"default":{"default":"mayúscula L con línea debajo"}},"category":"Lu"},{"key":"1E3C","mappings":{"default":{"default":"mayúscula L con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E3E","mappings":{"default":{"default":"mayúscula M con agudo"}},"category":"Lu"},{"key":"1E40","mappings":{"default":{"default":"mayúscula M con punto arriba"}},"category":"Lu"},{"key":"1E42","mappings":{"default":{"default":"mayúscula M con punto debajo"}},"category":"Lu"},{"key":"1E44","mappings":{"default":{"default":"mayúscula N con punto arriba"}},"category":"Lu"},{"key":"1E46","mappings":{"default":{"default":"mayúscula N con punto debajo"}},"category":"Lu"},{"key":"1E48","mappings":{"default":{"default":"mayúscula N con línea debajo"}},"category":"Lu"},{"key":"1E4A","mappings":{"default":{"default":"mayúscula N con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E54","mappings":{"default":{"default":"mayúscula P con agudo"}},"category":"Lu"},{"key":"1E56","mappings":{"default":{"default":"mayúscula P con punto arriba"}},"category":"Lu"},{"key":"1E58","mappings":{"default":{"default":"mayúscula R con punto arriba"}},"category":"Lu"},{"key":"1E5A","mappings":{"default":{"default":"mayúscula R con punto debajo"}},"category":"Lu"},{"key":"1E5E","mappings":{"default":{"default":"mayúscula R con línea debajo"}},"category":"Lu"},{"key":"1E60","mappings":{"default":{"default":"mayúscula S con punto arriba"}},"category":"Lu"},{"key":"1E62","mappings":{"default":{"default":"mayúscula S con punto debajo"}},"category":"Lu"},{"key":"1E6A","mappings":{"default":{"default":"mayúscula T con punto arriba"}},"category":"Lu"},{"key":"1E6C","mappings":{"default":{"default":"mayúscula T con punto debajo"}},"category":"Lu"},{"key":"1E6E","mappings":{"default":{"default":"mayúscula T con línea debajo"}},"category":"Lu"},{"key":"1E70","mappings":{"default":{"default":"mayúscula T con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E72","mappings":{"default":{"default":"mayúscula U con diéresis debajo"}},"category":"Lu"},{"key":"1E74","mappings":{"default":{"default":"mayúscula U con tilde debajo"}},"category":"Lu"},{"key":"1E76","mappings":{"default":{"default":"mayúscula U con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E7C","mappings":{"default":{"default":"mayúscula V con tilde"}},"category":"Lu"},{"key":"1E7E","mappings":{"default":{"default":"mayúscula V con punto debajo"}},"category":"Lu"},{"key":"1E80","mappings":{"default":{"default":"mayúscula W con grave"}},"category":"Lu"},{"key":"1E82","mappings":{"default":{"default":"mayúscula W con agudo"}},"category":"Lu"},{"key":"1E84","mappings":{"default":{"default":"mayúscula W con diéresis"}},"category":"Lu"},{"key":"1E86","mappings":{"default":{"default":"mayúscula W con punto arriba"}},"category":"Lu"},{"key":"1E88","mappings":{"default":{"default":"mayúscula W con punto debajo"}},"category":"Lu"},{"key":"1E8A","mappings":{"default":{"default":"mayúscula X con punto arriba"}},"category":"Lu"},{"key":"1E8C","mappings":{"default":{"default":"mayúscula X con diéresis"}},"category":"Lu"},{"key":"1E8E","mappings":{"default":{"default":"mayúscula Y con punto arriba"}},"category":"Lu"},{"key":"1E90","mappings":{"default":{"default":"mayúscula Z con acento circunflejo"}},"category":"Lu"},{"key":"1E92","mappings":{"default":{"default":"mayúscula Z con punto debajo"}},"category":"Lu"},{"key":"1E94","mappings":{"default":{"default":"mayúscula Z with line below"}},"category":"Lu"},{"key":"1EA0","mappings":{"default":{"default":"mayúscula A con punto debajo"}},"category":"Lu"},{"key":"1EA2","mappings":{"default":{"default":"mayúscula A con gancho arriba"}},"category":"Lu"},{"key":"1EB8","mappings":{"default":{"default":"mayúscula E con punto debajo"}},"category":"Lu"},{"key":"1EBA","mappings":{"default":{"default":"mayúscula E con gancho arriba"}},"category":"Lu"},{"key":"1EBC","mappings":{"default":{"default":"mayúscula E con tilde"}},"category":"Lu"},{"key":"1EC8","mappings":{"default":{"default":"mayúscula I con gancho arriba"}},"category":"Lu"},{"key":"1ECA","mappings":{"default":{"default":"mayúscula I con punto debajo"}},"category":"Lu"},{"key":"1ECC","mappings":{"default":{"default":"mayúscula O con punto debajo"}},"category":"Lu"},{"key":"1ECE","mappings":{"default":{"default":"mayúscula O con gancho arriba"}},"category":"Lu"},{"key":"1EE4","mappings":{"default":{"default":"mayúscula U con punto debajo"}},"category":"Lu"},{"key":"1EE6","mappings":{"default":{"default":"mayúscula U con gancho arriba"}},"category":"Lu"},{"key":"1EF2","mappings":{"default":{"default":"mayúscula Y con grave"}},"category":"Lu"},{"key":"1EF4","mappings":{"default":{"default":"mayúscula Y con punto debajo"}},"category":"Lu"},{"key":"1EF6","mappings":{"default":{"default":"mayúscula Y con gancho arriba"}},"category":"Lu"},{"key":"1EF8","mappings":{"default":{"default":"mayúscula Y con tilde"}},"category":"Lu"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/math_angles.js b/unpacked/extensions/a11y/mathmaps/es/symbols/math_angles.js
deleted file mode 100644
index 985759328c..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/math_angles.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"22BE","mappings":{"default":{"default":"ángulo recto con arco"}},"category":"Sm"},{"key":"237C","mappings":{"default":{"default":"ángulo recto con flecha zigzag hacia abajo"}},"category":"Sm"},{"key":"27C0","mappings":{"default":{"default":"ángulo sólido"}},"category":"Sm"},{"key":"299D","mappings":{"default":{"default":"ángulo recto medido con punto"}},"category":"Sm"},{"key":"29A4","mappings":{"default":{"default":"ángulo con barra inferior"}},"category":"Sm"},{"key":"29A5","mappings":{"default":{"default":"ángulo inverso con barra inferior"}},"category":"Sm"},{"key":"29A6","mappings":{"default":{"default":"ángulo oblicuo hacia arriba"}},"category":"Sm"},{"key":"29A7","mappings":{"default":{"default":"ángulo oblicuo hacia abajo"}},"category":"Sm"},{"key":"29A8","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the right"}},"category":"Sm"},{"key":"29A9","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the left"}},"category":"Sm"},{"key":"29AA","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the right"}},"category":"Sm"},{"key":"29AB","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the left"}},"category":"Sm"},{"key":"29AC","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"category":"Sm"},{"key":"29AD","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"category":"Sm"},{"key":"29AE","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"category":"Sm"},{"key":"29AF","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"category":"Sm"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/math_arrows.js b/unpacked/extensions/a11y/mathmaps/es/symbols/math_arrows.js
deleted file mode 100644
index 81a75c27ce..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/math_arrows.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"2190","mappings":{"default":{"default":"flecha izquierda"}},"category":"Sm"},{"key":"2191","mappings":{"default":{"default":"flecha arriba"}},"category":"Sm"},{"key":"2192","mappings":{"default":{"default":"flecha derecha","defaultMP":"flecha"}},"category":"Sm"},{"key":"2193","mappings":{"default":{"default":"flecha abajo"}},"category":"Sm"},{"key":"2194","mappings":{"default":{"default":"flecha izquierda y derecha"}},"category":"Sm"},{"key":"2195","mappings":{"default":{"default":"flecha arriba y abajo"}},"category":"So"},{"key":"2196","mappings":{"default":{"default":"flecha a noroeste"}},"category":"So"},{"key":"2197","mappings":{"default":{"default":"flecha a nordeste"}},"category":"So"},{"key":"2198","mappings":{"default":{"default":"flecha a sureste"}},"category":"So"},{"key":"2199","mappings":{"default":{"default":"flecha a suroeste"}},"category":"So"},{"key":"219A","mappings":{"default":{"default":"flecha izquierda tachada"}},"category":"Sm"},{"key":"219B","mappings":{"default":{"default":"flecha tachada"}},"category":"Sm"},{"key":"219C","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"219D","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"219E","mappings":{"default":{"default":"flecha izquierda con doble punta"}},"category":"So"},{"key":"219F","mappings":{"default":{"default":"flecha con doble punta hacia arriba"}},"category":"So"},{"key":"21A0","mappings":{"default":{"default":"flecha derechaa con doble punta"}},"category":"Sm"},{"key":"21A1","mappings":{"default":{"default":"flecha con doble punta hacia abajo"}},"category":"So"},{"key":"21A2","mappings":{"default":{"default":"flecha izquierda con cola"}},"category":"So"},{"key":"21A3","mappings":{"default":{"default":"flecha derecha con cola"}},"category":"Sm"},{"key":"21A4","mappings":{"default":{"default":"flecha izquierda de barra"}},"category":"So"},{"key":"21A5","mappings":{"default":{"default":"barra con flecha"}},"category":"So"},{"key":"21A6","mappings":{"default":{"default":"flecha derecha de barra"}},"category":"Sm"},{"key":"21A7","mappings":{"default":{"default":"flecha con barra"}},"category":"So"},{"key":"21A8","mappings":{"default":{"default":"flecha arriba y abajo con base"}},"category":"So"},{"key":"21A9","mappings":{"default":{"default":"flecha izquierda con gancho"}},"category":"So"},{"key":"21AA","mappings":{"default":{"default":"flecha con gancho"}},"category":"So"},{"key":"21AB","mappings":{"default":{"default":"flecha izquierda con lazo"}},"category":"So"},{"key":"21AC","mappings":{"default":{"default":"flecha con lazo"}},"category":"So"},{"key":"21AD","mappings":{"default":{"default":"flecha ondulada izquierda y derecha"}},"category":"So"},{"key":"21AE","mappings":{"default":{"default":"flecha izquierda y derecha tachada"}},"category":"Sm"},{"key":"21AF","mappings":{"default":{"default":"flecha zigzag abajo"}},"category":"So"},{"key":"21B0","mappings":{"default":{"default":"flecha arriba con punta izquierda"}},"category":"So"},{"key":"21B1","mappings":{"default":{"default":"flecha arriba con punta derecha"}},"category":"So"},{"key":"21B2","mappings":{"default":{"default":"flecha abajo con punta izquierda"}},"category":"So"},{"key":"21B3","mappings":{"default":{"default":"flecha abajo con punta derecha"}},"category":"So"},{"key":"21B4","mappings":{"default":{"default":"flecha derecha desde esquina inferior"}},"category":"So"},{"key":"21B5","mappings":{"default":{"default":"flecha hacia abajo desde esquina izquierda"}},"category":"So"},{"key":"21B6","mappings":{"default":{"default":"flecha semicircular superior en sentido antihorario"}},"category":"So"},{"key":"21B7","mappings":{"default":{"default":"flecha semicircular superior en sentido horario"}},"category":"So"},{"key":"21B8","mappings":{"default":{"default":"flecha noroeste a barra larga"}},"category":"So"},{"key":"21B9","mappings":{"default":{"default":"flecha izquierda a barra arriba de flecha derecha a barra"}},"category":"So"},{"key":"21BA","mappings":{"default":{"default":"flecha circular abierta en sentido antihorario"}},"category":"So"},{"key":"21BB","mappings":{"default":{"default":"flecha circular abierta en sentido horario"}},"category":"So"},{"key":"21C4","mappings":{"default":{"default":"flecha derecha arriba de flecha izquierda"}},"category":"So"},{"key":"21C5","mappings":{"default":{"default":"flecha arriba a la izquierda de flecha abajo"}},"category":"So"},{"key":"21C6","mappings":{"default":{"default":"flecha izquierda arriba de flecha derecha"}},"category":"So"},{"key":"21C7","mappings":{"default":{"default":"dos flechas hacia la izquierda"}},"category":"So"},{"key":"21C8","mappings":{"default":{"default":"dos flechas hacia arriba"}},"category":"So"},{"key":"21C9","mappings":{"default":{"default":"dos flechas"}},"category":"So"},{"key":"21CA","mappings":{"default":{"default":"dos flechas hacia abajo"}},"category":"So"},{"key":"21CD","mappings":{"default":{"default":"flecha doble izquierda tachada"}},"category":"So"},{"key":"21CE","mappings":{"default":{"default":"flecha doble izquierda y derecha tachada"}},"category":"Sm"},{"key":"21CF","mappings":{"default":{"default":"flecha doble tachada"}},"category":"Sm"},{"key":"21D0","mappings":{"default":{"default":"flecha doble hacia la izquierda"}},"category":"So"},{"key":"21D1","mappings":{"default":{"default":"flecha doble hacia arriba"}},"category":"So"},{"key":"21D2","mappings":{"default":{"default":"flecha doble"}},"category":"Sm"},{"key":"21D3","mappings":{"default":{"default":"flecha doble hacia abajo"}},"category":"So"},{"key":"21D4","mappings":{"default":{"default":"flecha doble izquierda-derecha"}},"category":"Sm"},{"key":"21D5","mappings":{"default":{"default":"flecha doble vertical"}},"category":"So"},{"key":"21D6","mappings":{"default":{"default":"flecha doble hacia noroeste"}},"category":"So"},{"key":"21D7","mappings":{"default":{"default":"flecha doble hacia nordeste"}},"category":"So"},{"key":"21D8","mappings":{"default":{"default":"flecha doble hacia sudeste"}},"category":"So"},{"key":"21D9","mappings":{"default":{"default":"flecha doble hacia sudoeste"}},"category":"So"},{"key":"21DA","mappings":{"default":{"default":"flecha triple izquierda"}},"category":"So"},{"key":"21DB","mappings":{"default":{"default":"flecha triple"}},"category":"So"},{"key":"21DC","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"21DD","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"21DE","mappings":{"default":{"default":"flecha hacia arriba con doble tachado"}},"category":"So"},{"key":"21DF","mappings":{"default":{"default":"flecha hacia abajo con doble tachado"}},"category":"So"},{"key":"21E0","mappings":{"default":{"default":"flecha de puntos hacia la izquierda"}},"category":"So"},{"key":"21E1","mappings":{"default":{"default":"flecha de puntos hacia arriba"}},"category":"So"},{"key":"21E2","mappings":{"default":{"default":"flecha de puntos"}},"category":"So"},{"key":"21E3","mappings":{"default":{"default":"flecha de puntos hacia abajo"}},"category":"So"},{"key":"21E4","mappings":{"default":{"default":"flecha izquierda a barra"}},"category":"So"},{"key":"21E5","mappings":{"default":{"default":"flecha derecha a barra"}},"category":"So"},{"key":"21E6","mappings":{"default":{"default":"flecha vacía hacia la izquierda"}},"category":"So"},{"key":"21E7","mappings":{"default":{"default":"flecha vacía hacia arriba"}},"category":"So"},{"key":"21E8","mappings":{"default":{"default":"flecha vacía"}},"category":"So"},{"key":"21E9","mappings":{"default":{"default":"flecha vacía hacia abajo"}},"category":"So"},{"key":"21EA","mappings":{"default":{"default":"flecha vacía hacia arriba desde barra"}},"category":"So"},{"key":"21F5","mappings":{"default":{"default":"upwards arrow to the right of downwards arrow"}},"category":"Sm"},{"key":"21FD","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FE","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FF","mappings":{"default":{"default":"flecha izquierda derecha con punta vacía"}},"category":"Sm"},{"key":"27F0","mappings":{"default":{"default":"flecha cuádruple hacia arriba"}},"category":"Sm"},{"key":"27F1","mappings":{"default":{"default":"flecha cuádruple hacia abajo"}},"category":"Sm"},{"key":"27F2","mappings":{"default":{"default":"flecha hacia la izquierda desde círculo"}},"category":"Sm"},{"key":"27F3","mappings":{"default":{"default":"flecha hacia la derecha desde círculo"}},"category":"Sm"},{"key":"27F4","mappings":{"default":{"default":"flecha con más en círculo"}},"category":"Sm"},{"key":"27F5","mappings":{"default":{"default":"flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F6","mappings":{"default":{"default":"flecha larga"}},"category":"Sm"},{"key":"27F7","mappings":{"default":{"default":"flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27F8","mappings":{"default":{"default":"doble flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F9","mappings":{"default":{"default":"doble flecha larga"}},"category":"Sm"},{"key":"27FA","mappings":{"default":{"default":"doble flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27FB","mappings":{"default":{"default":"flecha larga hacia la izquierda, desde barra"}},"category":"Sm"},{"key":"27FC","mappings":{"default":{"default":"flecha larga desde barra"}},"category":"Sm"},{"key":"27FD","mappings":{"default":{"default":"doble flecha larga hacia la izquierda desde barra"}},"category":"Sm"},{"key":"27FE","mappings":{"default":{"default":"doble flecha larga desde barra"}},"category":"Sm"},{"key":"27FF","mappings":{"default":{"default":"flecha larga en zigzag"}},"category":"Sm"},{"key":"2905","mappings":{"default":{"default":"rightwards two headed arrow from bar"}},"category":"Sm"},{"key":"290C","mappings":{"default":{"default":"leftwards double dash arrow"}},"category":"Sm"},{"key":"290D","mappings":{"default":{"default":"rightwards double dash arrow"}},"category":"Sm"},{"key":"290E","mappings":{"default":{"default":"leftwards triple dash arrow"}},"category":"Sm"},{"key":"290F","mappings":{"default":{"default":"rightwards triple dash arrow"}},"category":"Sm"},{"key":"2910","mappings":{"default":{"default":"rightwards two headed triple dash arrow"}},"category":"Sm"},{"key":"2911","mappings":{"default":{"default":"rightwards arrow with dotted stem"}},"category":"Sm"},{"key":"2912","mappings":{"default":{"default":"upwards arrow to bar"}},"category":"Sm"},{"key":"2913","mappings":{"default":{"default":"downwards arrow to bar"}},"category":"Sm"},{"key":"2916","mappings":{"default":{"default":"rightwards two headed arrow with tail"}},"category":"Sm"},{"key":"2919","mappings":{"default":{"default":"cola de flecha hacia la izquierda"}},"category":"Sm"},{"key":"291B","mappings":{"default":{"default":"cola de doble flecha hacia la izquierda"}},"category":"Sm"},{"key":"291C","mappings":{"default":{"default":"cola de doble flecha hacia la derecha"}},"category":"Sm"},{"key":"291D","mappings":{"default":{"default":"flecha hacia diamante relleno a la izquierda"}},"category":"Sm"},{"key":"291E","mappings":{"default":{"default":"flecha hacia diamante a la derecha"}},"category":"Sm"},{"key":"291F","mappings":{"default":{"default":"flecha desde barra hacia diamante a la izquierda"}},"category":"Sm"},{"key":"2920","mappings":{"default":{"default":"flecha desde barra hacia diamante a la derecha"}},"category":"Sm"},{"key":"2923","mappings":{"default":{"default":"flecha a noroeste con garfio"}},"category":"Sm"},{"key":"2924","mappings":{"default":{"default":"flecha a nordeste con garfio"}},"category":"Sm"},{"key":"2925","mappings":{"default":{"default":"flecha a sureste con garfio"}},"category":"Sm"},{"key":"2926","mappings":{"default":{"default":"flecha a suroeste con garfio"}},"category":"Sm"},{"key":"2927","mappings":{"default":{"default":"flechas a noroeste y nordeste"}},"category":"Sm"},{"key":"2928","mappings":{"default":{"default":"flechas a nordeste y sudeste"}},"category":"Sm"},{"key":"2929","mappings":{"default":{"default":"flechas a suddeste y sudoeste"}},"category":"Sm"},{"key":"292A","mappings":{"default":{"default":"flechas a sudoeste y noroeste"}},"category":"Sm"},{"key":"2933","mappings":{"default":{"default":"flecha ondulada"}},"category":"Sm"},{"key":"2935","mappings":{"default":{"default":"flecha hacia la derecha que gira hacia abajo"}},"category":"Sm"},{"key":"2936","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la izquierda"}},"category":"Sm"},{"key":"2937","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la derecha"}},"category":"Sm"},{"key":"2938","mappings":{"default":{"default":"flecha semicircular a la derecha en sentido horario"}},"category":"Sm"},{"key":"2939","mappings":{"default":{"default":"flecha semicircular a la izquierda en sentido antihorario"}},"category":"Sm"},{"key":"293C","mappings":{"default":{"default":"giro negativo"}},"category":"Sm"},{"key":"293D","mappings":{"default":{"default":"giro positivo"}},"category":"Sm"},{"key":"2945","mappings":{"default":{"default":"flecha con más suscrito"}},"category":"Sm"},{"key":"2948","mappings":{"default":{"default":"flecha hacia la izquierda a través de círculo"}},"category":"Sm"},{"key":"2949","mappings":{"default":{"default":"dos cabezas de flecha hacia arriba desde círculo"}},"category":"Sm"},{"key":"2970","mappings":{"default":{"default":"round implies"}},"category":"Sm"},{"key":"2971","mappings":{"default":{"default":"flecha con igual"}},"category":"Sm"},{"key":"2972","mappings":{"default":{"default":"flecha con tilde"}},"category":"Sm"},{"key":"2973","mappings":{"default":{"default":"tilde con flecha hacia la izquierda"}},"category":"Sm"},{"key":"2974","mappings":{"default":{"default":"tilde con flecha"}},"category":"Sm"},{"key":"2975","mappings":{"default":{"default":"flecha con casi igual a"}},"category":"Sm"},{"key":"2976","mappings":{"default":{"default":"flecha hacia la izquierda con menor que"}},"category":"Sm"},{"key":"2978","mappings":{"default":{"default":"flecha con mayor que"}},"category":"Sm"},{"key":"2979","mappings":{"default":{"default":"flecha hacia la izquierda con incluido"}},"category":"Sm"},{"key":"297B","mappings":{"default":{"default":"flecha hacia la izquierda con contiene"}},"category":"Sm"},{"key":"29B3","mappings":{"default":{"default":"conjunto vacío con flecha"}},"category":"Sm"},{"key":"29B4","mappings":{"default":{"default":"conjunto vacío con flecha inversa"}},"category":"Sm"},{"key":"2A17","mappings":{"default":{"default":"integral con flecha hacia la izquierda con garfio"}},"category":"Sm"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/math_characters.js b/unpacked/extensions/a11y/mathmaps/es/symbols/math_characters.js
deleted file mode 100644
index 18c6357007..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/math_characters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"2113","mappings":{"default":{"default":"script l"}},"category":"Ll"},{"key":"2118","mappings":{"default":{"default":"p de weierstrass"}},"category":"Sm"},{"key":"2145","mappings":{"default":{"default":"mayúscula D"}},"category":"Lu"},{"key":"2146","mappings":{"default":{"default":"d"}},"category":"Ll"},{"key":"2147","mappings":{"default":{"default":"e"}},"category":"Ll"},{"key":"2148","mappings":{"default":{"default":"i"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"cursiva dotless i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"cursiva dotless j"}},"key":"1D6A5"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/math_delimiters.js b/unpacked/extensions/a11y/mathmaps/es/symbols/math_delimiters.js
deleted file mode 100644
index 6294d37d52..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/math_delimiters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"0028","mappings":{"default":{"default":"paréntesis izquierdo","defaultMP":"paréntesis"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"paréntesis derecho","defaultMP":"cierra paréntesis"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"corchete izquierdo","defaultMP":"abre corchetes"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"corchete derecho","defaultMP":"cierra corchetes"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"llave izquierda","defaultMP":"abre llaves"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"llaves derecha","defaultMP":"cierra llaves"}},"category":"Pe"},{"key":"2308","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"Sm"},{"key":"2309","mappings":{"default":{"default":"esquina superior derecha"}},"category":"Sm"},{"key":"230A","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"Sm"},{"key":"230B","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"Sm"},{"key":"230C","mappings":{"default":{"default":"corte inferior derecho"}},"category":"So"},{"key":"230D","mappings":{"default":{"default":"corte inferior izquierdo"}},"category":"So"},{"key":"230E","mappings":{"default":{"default":"corte superior derecho "}},"category":"So"},{"key":"230F","mappings":{"default":{"default":"corte superior izquierdo"}},"category":"So"},{"key":"231C","mappings":{"default":{"default":"ángulo superior izquierdo"}},"category":"So"},{"key":"231D","mappings":{"default":{"default":"ángulo superior derecho"}},"category":"So"},{"key":"231E","mappings":{"default":{"default":"ángulo inferior izquierdo"}},"category":"So"},{"key":"231F","mappings":{"default":{"default":"ángulo inferior derecho"}},"category":"So"},{"key":"2320","mappings":{"default":{"default":"mitad superior de integral"}},"category":"Sm"},{"key":"2321","mappings":{"default":{"default":"mitad inferior de integral"}},"category":"Sm"},{"key":"2329","mappings":{"default":{"default":"paréntesis angular izquierdo"}},"category":"Ps"},{"key":"232A","mappings":{"default":{"default":"paréntesis angular derecho"}},"category":"Pe"},{"key":"23B0","mappings":{"default":{"default":"izquierda arriba o derecho debajo sección llave"}},"category":"Sm"},{"key":"23B1","mappings":{"default":{"default":"derecha arriba o izquierdo debajo sección llave"}},"category":"Sm"},{"key":"23B4","mappings":{"default":{"default":"corchete superior"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"corchete inferior"}},"category":"So"},{"key":"23DC","mappings":{"default":{"default":"paréntesis superior"}},"category":"Sm"},{"key":"23DD","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Sm"},{"key":"23DE","mappings":{"default":{"default":"corchete rizado superior"}},"category":"Sm"},{"key":"23DF","mappings":{"default":{"default":"corchete rizado inferior"}},"category":"Sm"},{"key":"23E0","mappings":{"default":{"default":"corchete superior en tortuga"}},"category":"Sm"},{"key":"23E1","mappings":{"default":{"default":"corchete inferior en tortuga"}},"category":"Sm"},{"key":"27C5","mappings":{"default":{"default":"símbolo delimitador izquierdo de bolsa de s-formó"}},"category":"Ps"},{"key":"27C6","mappings":{"default":{"default":"símbolo delimitador derecho de bolsa de s-formó"}},"category":"Pe"},{"key":"27E6","mappings":{"default":{"default":"corchete vacío izquierdo"}},"category":"Ps"},{"key":"27E7","mappings":{"default":{"default":"corchete vacío derecho"}},"category":"Pe"},{"key":"27E8","mappings":{"default":{"default":"corchete agudo izquierdo"}},"category":"Ps"},{"key":"27E9","mappings":{"default":{"default":"corchete agudo derecho"}},"category":"Pe"},{"key":"27EA","mappings":{"default":{"default":"doble corchete agudo izquierdo"}},"category":"Ps"},{"key":"27EB","mappings":{"default":{"default":"doble corchete agudo derecho"}},"category":"Pe"},{"key":"27EC","mappings":{"default":{"default":"corchete de tortuga vacío izquierdo"}},"category":"Ps"},{"key":"27ED","mappings":{"default":{"default":"corchete de tortuga vacío derecho "}},"category":"Pe"},{"key":"27EE","mappings":{"default":{"default":"paréntesis plano izquierdo"}},"category":"Ps"},{"key":"27EF","mappings":{"default":{"default":"paréntesis plano derecho"}},"category":"Pe"},{"key":"2985","mappings":{"default":{"default":"left white paren"}},"category":"Ps"},{"key":"2986","mappings":{"default":{"default":"right white paren"}},"category":"Pe"},{"key":"2989","mappings":{"default":{"default":"z notation left binding bracket"}},"category":"Ps"},{"key":"298A","mappings":{"default":{"default":"z notation right binding bracket"}},"category":"Pe"},{"key":"298B","mappings":{"default":{"default":"left bracket with underbar"}},"category":"Ps"},{"key":"298C","mappings":{"default":{"default":"right bracket with underbar"}},"category":"Pe"},{"key":"298D","mappings":{"default":{"default":"left bracket with tick in top corner"}},"category":"Ps"},{"key":"298E","mappings":{"default":{"default":"right bracket with tick in bottom corner"}},"category":"Pe"},{"key":"298F","mappings":{"default":{"default":"left bracket with tick in bottom corner"}},"category":"Ps"},{"key":"2990","mappings":{"default":{"default":"right bracket with tick in top corner"}},"category":"Pe"},{"key":"2991","mappings":{"default":{"default":"left angle bracket with dot"}},"category":"Ps"},{"key":"2992","mappings":{"default":{"default":"right angle bracket with dot"}},"category":"Pe"},{"key":"2993","mappings":{"default":{"default":"left arc less than bracket"}},"category":"Ps"},{"key":"2994","mappings":{"default":{"default":"right arc greater than bracket"}},"category":"Pe"},{"key":"2995","mappings":{"default":{"default":"double left arc greater than bracket"}},"category":"Ps"},{"key":"2996","mappings":{"default":{"default":"double right arc less than bracket"}},"category":"Pe"},{"key":"29DA","mappings":{"default":{"default":"left double wiggly fence"}},"category":"Ps"},{"key":"29DB","mappings":{"default":{"default":"right double wiggly fence"}},"category":"Pe"},{"key":"300A","mappings":{"default":{"default":"paréntesis angular doble"}},"category":"Ps"},{"key":"300B","mappings":{"default":{"default":"paréntesis angular doble derecho","defaultMP":"cierra paréntesis angular doble"}},"category":"Pe"},{"key":"3014","mappings":{"default":{"default":"left tortoise shell bracket"}},"category":"Ps"},{"key":"3015","mappings":{"default":{"default":"right tortoise shell bracket"}},"category":"Pe"},{"key":"301A","mappings":{"default":{"default":"corchete vacío"}},"category":"Ps"},{"key":"301B","mappings":{"default":{"default":"corchete vacío derecho","defaultMP":"cierra corchete vacío"}},"category":"Pe"},{"key":"301E","mappings":{"default":{"default":"segunda"}},"category":"Pe"},{"key":"FE35","mappings":{"default":{"default":"paréntesis superior"}},"category":"Ps"},{"key":"FE36","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Pe"},{"key":"FE37","mappings":{"default":{"default":"llave superior"}},"category":"Ps"},{"key":"FE38","mappings":{"default":{"default":"llave inferior"}},"category":"Pe"},{"key":"FE3F","mappings":{"default":{"default":"paréntesis angular superior"}},"category":"Ps"},{"key":"FE40","mappings":{"default":{"default":"paréntesis angular inferior"}},"category":"Pe"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/math_digits.js b/unpacked/extensions/a11y/mathmaps/es/symbols/math_digits.js
deleted file mode 100644
index ce619b0e6d..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/math_digits.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"00B2","mappings":{"default":{"default":"super 2"}},"category":"No"},{"key":"00B3","mappings":{"default":{"default":"super 3"}},"category":"No"},{"key":"00B9","mappings":{"default":{"default":"super 1"}},"category":"No"},{"key":"00BC","mappings":{"default":{"default":"un cuarto"}},"category":"No"},{"key":"00BD","mappings":{"default":{"default":"un medio"}},"category":"No"},{"key":"00BE","mappings":{"default":{"default":"tres cuartos"}},"category":"No"},{"key":"2153","mappings":{"default":{"default":"un tercio"}},"category":"No"},{"key":"2154","mappings":{"default":{"default":"dos tercios"}},"category":"No"},{"key":"2155","mappings":{"default":{"default":"un quinto"}},"category":"No"},{"key":"2156","mappings":{"default":{"default":"dos quintos"}},"category":"No"},{"key":"2157","mappings":{"default":{"default":"tres quintos"}},"category":"No"},{"key":"2158","mappings":{"default":{"default":"cuatro quintos"}},"category":"No"},{"key":"2159","mappings":{"default":{"default":"un sexto"}},"category":"No"},{"key":"215A","mappings":{"default":{"default":"cinco sextos"}},"category":"No"},{"key":"215B","mappings":{"default":{"default":"un octavo"}},"category":"No"},{"key":"215C","mappings":{"default":{"default":"tres octavos"}},"category":"No"},{"key":"215D","mappings":{"default":{"default":"cinco octavos"}},"category":"No"},{"key":"215E","mappings":{"default":{"default":"siete octavos"}},"category":"No"},{"category":"Nd","mappings":{"default":{"default":"negrita 0"}},"key":"1D7CE"},{"category":"Nd","mappings":{"default":{"default":"negrita 1"}},"key":"1D7CF"},{"category":"Nd","mappings":{"default":{"default":"negrita 2"}},"key":"1D7D0"},{"category":"Nd","mappings":{"default":{"default":"negrita 3"}},"key":"1D7D1"},{"category":"Nd","mappings":{"default":{"default":"negrita 4"}},"key":"1D7D2"},{"category":"Nd","mappings":{"default":{"default":"negrita 5"}},"key":"1D7D3"},{"category":"Nd","mappings":{"default":{"default":"negrita 6"}},"key":"1D7D4"},{"category":"Nd","mappings":{"default":{"default":"negrita 7"}},"key":"1D7D5"},{"category":"Nd","mappings":{"default":{"default":"negrita 8"}},"key":"1D7D6"},{"category":"Nd","mappings":{"default":{"default":"negrita 9"}},"key":"1D7D7"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 0"}},"key":"1D7D8"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 1"}},"key":"1D7D9"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 2"}},"key":"1D7DA"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 3"}},"key":"1D7DB"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 4"}},"key":"1D7DC"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 5"}},"key":"1D7DD"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 6"}},"key":"1D7DE"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 7"}},"key":"1D7DF"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 8"}},"key":"1D7E0"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 9"}},"key":"1D7E1"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 0"}},"key":"1D7E2"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 1"}},"key":"1D7E3"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 2"}},"key":"1D7E4"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 3"}},"key":"1D7E5"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 4"}},"key":"1D7E6"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 5"}},"key":"1D7E7"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 6"}},"key":"1D7E8"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 7"}},"key":"1D7E9"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 8"}},"key":"1D7EA"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 9"}},"key":"1D7EB"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 0"}},"key":"1D7EC"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 1"}},"key":"1D7ED"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 2"}},"key":"1D7EE"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 3"}},"key":"1D7EF"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 4"}},"key":"1D7F0"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 5"}},"key":"1D7F1"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 6"}},"key":"1D7F2"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 7"}},"key":"1D7F3"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 8"}},"key":"1D7F4"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 9"}},"key":"1D7F5"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 0"}},"key":"1D7F6"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 1"}},"key":"1D7F7"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 2"}},"key":"1D7F8"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 3"}},"key":"1D7F9"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 4"}},"key":"1D7FA"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 5"}},"key":"1D7FB"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 6"}},"key":"1D7FC"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 7"}},"key":"1D7FD"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 8"}},"key":"1D7FE"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 9"}},"key":"1D7FF"},{"category":"No","mappings":{"default":{"default":"0 punto"}},"key":"1F100"},{"category":"No","mappings":{"default":{"default":"0 coma"}},"key":"1F101"},{"category":"No","mappings":{"default":{"default":"1 coma"}},"key":"1F102"},{"category":"No","mappings":{"default":{"default":"2 coma"}},"key":"1F103"},{"category":"No","mappings":{"default":{"default":"3 coma"}},"key":"1F104"},{"category":"No","mappings":{"default":{"default":"4 coma"}},"key":"1F105"},{"category":"No","mappings":{"default":{"default":"5 coma"}},"key":"1F106"},{"category":"No","mappings":{"default":{"default":"6 coma"}},"key":"1F107"},{"category":"No","mappings":{"default":{"default":"7 coma"}},"key":"1F108"},{"category":"No","mappings":{"default":{"default":"8 coma"}},"key":"1F109"},{"category":"No","mappings":{"default":{"default":"9 coma"}},"key":"1F10A"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/math_geometry.js b/unpacked/extensions/a11y/mathmaps/es/symbols/math_geometry.js
deleted file mode 100644
index 9c39f275fe..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/math_geometry.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"2500","mappings":{"default":{"default":"delimitador horizontal"}},"category":"So"},{"key":"2502","mappings":{"default":{"default":"delimitador vertical"}},"category":"So"},{"key":"250C","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"So"},{"key":"2510","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"So"},{"key":"2514","mappings":{"default":{"default":"esquina superior derecha"}},"category":"So"},{"key":"2518","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"So"},{"key":"251C","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal"}},"category":"So"},{"key":"2524","mappings":{"default":{"default":"delimitador derecho y separador horizontal"}},"category":"So"},{"key":"252C","mappings":{"default":{"default":"delimitador superior y separador vertical"}},"category":"So"},{"key":"2534","mappings":{"default":{"default":"delimitador inferior y separador vertical"}},"category":"So"},{"key":"253C","mappings":{"default":{"default":"cruce de separadores sencillos"}},"category":"So"},{"key":"2550","mappings":{"default":{"default":"delimitador horizontal doble"}},"category":"So"},{"key":"2551","mappings":{"default":{"default":"delimitador vertical doble"}},"category":"So"},{"key":"2552","mappings":{"default":{"default":"esquina inferior derecha, vertical doble"}},"category":"So"},{"key":"2553","mappings":{"default":{"default":"esquina inferior derecha, horizontal doble"}},"category":"So"},{"key":"2554","mappings":{"default":{"default":"esquina inferior derecha doble"}},"category":"So"},{"key":"2555","mappings":{"default":{"default":"esquina inferior izquierda, vertical doble"}},"category":"So"},{"key":"2556","mappings":{"default":{"default":"esquina inferior izquierda, horizontal doble"}},"category":"So"},{"key":"2557","mappings":{"default":{"default":"esquina inferior izquierda doble"}},"category":"So"},{"key":"2558","mappings":{"default":{"default":"esquina superior derecha, vertical doble"}},"category":"So"},{"key":"2559","mappings":{"default":{"default":"esquina superior derecha, horizontal doble"}},"category":"So"},{"key":"255A","mappings":{"default":{"default":"esquina superior derecha doble"}},"category":"So"},{"key":"255B","mappings":{"default":{"default":"esquina superior izquierda, vertical doble"}},"category":"So"},{"key":"255C","mappings":{"default":{"default":"esquina superior izquierda, horizontal doble"}},"category":"So"},{"key":"255D","mappings":{"default":{"default":"esquina superior izquierda doble"}},"category":"So"},{"key":"255E","mappings":{"default":{"default":"delimitador izquierdo con separador doble"}},"category":"So"},{"key":"255F","mappings":{"default":{"default":"delimitador izquierdo doble con separador horizontal"}},"category":"So"},{"key":"2560","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal dobles"}},"category":"So"},{"key":"2561","mappings":{"default":{"default":"delimitador derecho con separador doble"}},"category":"So"},{"key":"2562","mappings":{"default":{"default":"delimitador derecho doble con separador horizontal"}},"category":"So"},{"key":"2563","mappings":{"default":{"default":"delimitador derecho y separador horizontal dobles"}},"category":"So"},{"key":"2564","mappings":{"default":{"default":"delimitador superior doble con separador vertical"}},"category":"So"},{"key":"2565","mappings":{"default":{"default":"delimitador superior con separador vertical doble"}},"category":"So"},{"key":"2566","mappings":{"default":{"default":"delimitador superior y separador vertical dobles"}},"category":"So"},{"key":"2567","mappings":{"default":{"default":"delimitador inferior doble con separador vertical"}},"category":"So"},{"key":"2568","mappings":{"default":{"default":"delimitador inferior con separador vertical doble"}},"category":"So"},{"key":"2569","mappings":{"default":{"default":"delimitador inferior y separador vertical dobles"}},"category":"So"},{"key":"256A","mappings":{"default":{"default":"cruce de separadores, vertical sencillo y horizontal doble"}},"category":"So"},{"key":"256B","mappings":{"default":{"default":"cruce de separadores, vertical doble y horizontal sencillo"}},"category":"So"},{"key":"256C","mappings":{"default":{"default":"cruce de separadores dobles"}},"category":"So"},{"key":"2580","mappings":{"default":{"default":"bloque mitad superior"}},"category":"So"},{"key":"2584","mappings":{"default":{"default":"bloque mitad inferior"}},"category":"So"},{"key":"2588","mappings":{"default":{"default":"bloque"}},"category":"So"},{"key":"2591","mappings":{"default":{"default":"sombra ligera"}},"category":"So"},{"key":"2592","mappings":{"default":{"default":"sombra media"}},"category":"So"},{"key":"2593","mappings":{"default":{"default":"sombra intensa"}},"category":"So"},{"key":"25A0","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25A1","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"key":"25AA","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25AB","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"key":"25AD","mappings":{"default":{"default":"rectángulo"}},"category":"So"},{"key":"25AE","mappings":{"default":{"default":"rectángulo relleno vertical"}},"category":"So"},{"key":"25AF","mappings":{"default":{"default":"rectángulo vertical"}},"category":"So"},{"key":"25B1","mappings":{"default":{"default":"paralelogramo"}},"category":"So"},{"key":"25B2","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B3","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B4","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B5","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B6","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B7","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"Sm"},{"key":"25B8","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B9","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"So"},{"key":"25BC","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BD","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25BE","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BF","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25C0","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C1","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"Sm"},{"key":"25C2","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C3","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"So"},{"key":"25C4","mappings":{"default":{"default":"puntero relleno señala izquierda"}},"category":"So"},{"key":"25C5","mappings":{"default":{"default":"puntero señala izquierda"}},"category":"So"},{"key":"25C6","mappings":{"default":{"default":"diamante relleno"}},"category":"So"},{"key":"25C7","mappings":{"default":{"default":"diamante"}},"category":"So"},{"key":"25C8","mappings":{"default":{"default":"diamante vacío contiene diamante relleno"}},"category":"So"},{"key":"25C9","mappings":{"default":{"default":"ojo de pez"}},"category":"So"},{"key":"25CA","mappings":{"default":{"default":"rombo"}},"category":"So"},{"key":"25CB","mappings":{"default":{"default":"círculo vacío"}},"category":"So"},{"key":"25CC","mappings":{"default":{"default":"círculo punteado"}},"category":"So"},{"key":"25CD","mappings":{"default":{"default":"círculo con relleno vertical"}},"category":"So"},{"key":"25CE","mappings":{"default":{"default":"blanco"}},"category":"So"},{"key":"25CF","mappings":{"default":{"default":"círculo relleno"}},"category":"So"},{"key":"25D0","mappings":{"default":{"default":"círculo con mitad izquierda rellena"}},"category":"So"},{"key":"25D1","mappings":{"default":{"default":"círculo con mitad derecha rellena"}},"category":"So"},{"key":"25D2","mappings":{"default":{"default":"círculo con mitad inferior rellena"}},"category":"So"},{"key":"25D3","mappings":{"default":{"default":"círculo con mitad superior rellena"}},"category":"So"},{"key":"25D4","mappings":{"default":{"default":"círculo con cuadrante superior derecho relleno"}},"category":"So"},{"key":"25D5","mappings":{"default":{"default":"círculo con cuadrante superior izquierdo relleno"}},"category":"So"},{"key":"25D6","mappings":{"default":{"default":"semicírculo izquierdo relleno"}},"category":"So"},{"key":"25D7","mappings":{"default":{"default":"semicírculo derecho relleno"}},"category":"So"},{"key":"25D8","mappings":{"default":{"default":"bullet inversa"}},"category":"So"},{"key":"25D9","mappings":{"default":{"default":"círculo vacío inverso"}},"category":"So"},{"key":"25DA","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DB","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DC","mappings":{"default":{"default":"arco superior izquierda"}},"category":"So"},{"key":"25DD","mappings":{"default":{"default":"arco superior derecha"}},"category":"So"},{"key":"25DE","mappings":{"default":{"default":"arco inferior derecha"}},"category":"So"},{"key":"25DF","mappings":{"default":{"default":"arco inferior izquierda"}},"category":"So"},{"key":"25E0","mappings":{"default":{"default":"semicírculo superior"}},"category":"So"},{"key":"25E1","mappings":{"default":{"default":"semicírculo inferior"}},"category":"So"},{"key":"25E2","mappings":{"default":{"default":"triángulo inferior derecha relleno"}},"category":"So"},{"key":"25E3","mappings":{"default":{"default":"triángulo inferior izquierda relleno"}},"category":"So"},{"key":"25E4","mappings":{"default":{"default":"triángulo superior izquierda relleno"}},"category":"So"},{"key":"25E5","mappings":{"default":{"default":"triángulo superior derecha relleno"}},"category":"So"},{"key":"25E6","mappings":{"default":{"default":"composición"}},"category":"So"},{"key":"25E7","mappings":{"default":{"default":"cuadrado con mitad izquierda rellena"}},"category":"So"},{"key":"25E8","mappings":{"default":{"default":"cuadrado con mitad derecha rellena"}},"category":"So"},{"key":"25E9","mappings":{"default":{"default":"cuadrado con mitad superior izquierda rellena"}},"category":"So"},{"key":"25EA","mappings":{"default":{"default":"cuadrado con mitad inferior derecha rellena"}},"category":"So"},{"key":"25EB","mappings":{"default":{"default":"cuadrado con bisectriz"}},"category":"So"},{"key":"25EC","mappings":{"default":{"default":"triángulo vacío con punto"}},"category":"So"},{"key":"25ED","mappings":{"default":{"default":"triángulo apuntando arriba con mitad izquierda rellena"}},"category":"So"},{"key":"25EE","mappings":{"default":{"default":"triángulo apuntando arriba con mitad derecha rellena"}},"category":"So"},{"key":"25EF","mappings":{"default":{"default":"círculo grande"}},"category":"So"},{"key":"25F8","mappings":{"default":{"default":"triángulo superior izquierda"}},"category":"Sm"},{"key":"25F9","mappings":{"default":{"default":"triángulo superior derecha"}},"category":"Sm"},{"key":"25FA","mappings":{"default":{"default":"triángulo inferior izquierda"}},"category":"Sm"},{"key":"25FB","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FC","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FD","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FE","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FF","mappings":{"default":{"default":"triángulo inferior derecha"}},"category":"Sm"},{"key":"2B50","mappings":{"default":{"default":"estrella media vacía"}},"category":"So"},{"key":"2B51","mappings":{"default":{"default":"estrella pequeña rellena"}},"category":"So"},{"key":"2B52","mappings":{"default":{"default":"estrella pequeña vacía"}},"category":"So"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/math_harpoons.js b/unpacked/extensions/a11y/mathmaps/es/symbols/math_harpoons.js
deleted file mode 100644
index 89c27eab8a..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/math_harpoons.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"21BC","mappings":{"default":{"default":"flecha izquierda con arpón arriba"}},"category":"So"},{"key":"21BD","mappings":{"default":{"default":"flecha izquierda con arpón debajo"}},"category":"So"},{"key":"21BE","mappings":{"default":{"default":"flecha arriba con arpón derecho"}},"category":"So"},{"key":"21BF","mappings":{"default":{"default":"flecha arriba con arpón izquierdo"}},"category":"So"},{"key":"21C0","mappings":{"default":{"default":"flecha derecha con arpón arriba"}},"category":"So"},{"key":"21C1","mappings":{"default":{"default":"flecha derecha con arpón debajo"}},"category":"So"},{"key":"21C2","mappings":{"default":{"default":"flecha abajo con arpón derecho"}},"category":"So"},{"key":"21C3","mappings":{"default":{"default":"flecha abajo con arpón izquierdo"}},"category":"So"},{"key":"21CB","mappings":{"default":{"default":"arpón izquierdo arriba de arpón derecho"}},"category":"So"},{"key":"21CC","mappings":{"default":{"default":"arpón derecho arriba de arpón izquierdo"}},"category":"So"},{"key":"294A","mappings":{"default":{"default":"left barb up right barb down harpoon"}},"category":"Sm"},{"key":"294B","mappings":{"default":{"default":"left barb down right barb up harpoon"}},"category":"Sm"},{"key":"294E","mappings":{"default":{"default":"left barb up right barb up harpoon"}},"category":"Sm"},{"key":"294F","mappings":{"default":{"default":"arpón a la derecha hacia arriba y abajo"}},"category":"Sm"},{"key":"2950","mappings":{"default":{"default":"left barb down right barb down harpoon"}},"category":"Sm"},{"key":"2951","mappings":{"default":{"default":"arpón a la izquierda hacia arriba y abajo"}},"category":"Sm"},{"key":"2952","mappings":{"default":{"default":"leftwards harpoon to bar with barb upwards"}},"category":"Sm"},{"key":"2953","mappings":{"default":{"default":"rightwards harpoon to bar with barb upwards"}},"category":"Sm"},{"key":"2954","mappings":{"default":{"default":"upwards harpoon to bar with barb rightwards"}},"category":"Sm"},{"key":"2955","mappings":{"default":{"default":"downwards harpoon to bar with barb rightwards"}},"category":"Sm"},{"key":"2956","mappings":{"default":{"default":"leftwards harpoon to bar with barb downwards"}},"category":"Sm"},{"key":"2957","mappings":{"default":{"default":"rightwards harpoon to bar with barb downwards"}},"category":"Sm"},{"key":"2958","mappings":{"default":{"default":"upwards harpoon to bar with barb leftwards"}},"category":"Sm"},{"key":"2959","mappings":{"default":{"default":"downwards harpoon to bar with barb leftwards"}},"category":"Sm"},{"key":"295A","mappings":{"default":{"default":"leftwards harpoon from bar with barb upwards"}},"category":"Sm"},{"key":"295B","mappings":{"default":{"default":"rightwards harpoon from bar with barb upwards"}},"category":"Sm"},{"key":"295C","mappings":{"default":{"default":"upwards harpoon from bar with barb rightwards"}},"category":"Sm"},{"key":"295D","mappings":{"default":{"default":"downwards harpoon from bar with barb rightwards"}},"category":"Sm"},{"key":"295E","mappings":{"default":{"default":"leftwards harpoon from bar with barb downwards"}},"category":"Sm"},{"key":"295F","mappings":{"default":{"default":"rightwards harpoon from bar with barb downwards"}},"category":"Sm"},{"key":"2960","mappings":{"default":{"default":"upwards harpoon from bar with barb leftwards"}},"category":"Sm"},{"key":"2961","mappings":{"default":{"default":"downwards harpoon from bar with barb leftwards"}},"category":"Sm"},{"key":"2962","mappings":{"default":{"default":"leftwards harpoon with barb up above leftwards harpoon with barb down"}},"category":"Sm"},{"key":"2963","mappings":{"default":{"default":"upwards harpoon with barb left beside upwards harpoon with barb right"}},"category":"Sm"},{"key":"2964","mappings":{"default":{"default":"rightwards harpoon with barb up above rightwards harpoon with barb down"}},"category":"Sm"},{"key":"2965","mappings":{"default":{"default":"downwards harpoon with barb left beside downwards harpoon with barb right"}},"category":"Sm"},{"key":"2966","mappings":{"default":{"default":"leftwards harpoon with barb up above rightwards harpoon with barb up"}},"category":"Sm"},{"key":"2967","mappings":{"default":{"default":"leftwards harpoon with barb down above rightwards harpoon with barb down"}},"category":"Sm"},{"key":"2968","mappings":{"default":{"default":"rightwards harpoon with barb up above leftwards harpoon with barb up"}},"category":"Sm"},{"key":"2969","mappings":{"default":{"default":"rightwards harpoon with barb down above leftwards harpoon with barb down"}},"category":"Sm"},{"key":"296A","mappings":{"default":{"default":"barra con arpón hacia la izquierda"}},"category":"Sm"},{"key":"296B","mappings":{"default":{"default":"arpón hacia la izquierda con barra"}},"category":"Sm"},{"key":"296C","mappings":{"default":{"default":"barra con arpón hacia la derecha"}},"category":"Sm"},{"key":"296D","mappings":{"default":{"default":"arpón hacia la derecha con barra"}},"category":"Sm"},{"key":"296E","mappings":{"default":{"default":"upwards harpoon to the left of downwards harpoon"}},"category":"Sm"},{"key":"296F","mappings":{"default":{"default":"upwards harpoon to the right of downwards harpoon"}},"category":"Sm"},{"key":"297C","mappings":{"default":{"default":"left fish tail"}},"category":"Sm"},{"key":"297D","mappings":{"default":{"default":"right fish tail"}},"category":"Sm"},{"key":"297E","mappings":{"default":{"default":"barra con doble gancho"}},"category":"Sm"},{"key":"297F","mappings":{"default":{"default":"down fish tail"}},"category":"Sm"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/math_non_characters.js b/unpacked/extensions/a11y/mathmaps/es/symbols/math_non_characters.js
deleted file mode 100644
index 78d2cf01ac..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/math_non_characters.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"210F","mappings":{"default":{"default":"h barra"}},"category":"Ll"},{"key":"2116","mappings":{"default":{"default":"signo de número"}},"category":"So"},{"key":"2117","mappings":{"default":{"default":"derechos de autor de sonido"}},"category":"So"},{"key":"211E","mappings":{"default":{"default":"receta"}},"category":"So"},{"key":"2122","mappings":{"default":{"default":"registrado"}},"category":"So"},{"key":"2125","mappings":{"default":{"default":"onza"}},"category":"So"},{"key":"2126","mappings":{"default":{"default":"ohmio"}},"category":"Lu"},{"key":"2127","mappings":{"default":{"default":"ohmio invertido"}},"category":"So"},{"key":"212A","mappings":{"default":{"default":"grados kelvin"}},"category":"Lu"},{"key":"212B","mappings":{"default":{"default":"angstrom"}},"category":"Lu"},{"key":"2132","mappings":{"default":{"default":"mayúscula F invertida"}},"category":"Lu"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/math_symbols.js b/unpacked/extensions/a11y/mathmaps/es/symbols/math_symbols.js
deleted file mode 100644
index 47a7095680..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/math_symbols.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"0021","mappings":{"default":{"default":"factorial"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"comillas"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"almuhadilla","defaultMP":"signo de número"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"dólar"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"porciento"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"ampersand"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"prima","defaultMP":"apóstrofo"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"por"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"más"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"coma"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"key":"002E","mappings":{"default":{"default":"punto"}},"category":"Po"},{"key":"002F","mappings":{"default":{"default":"barra oblicua"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"dos puntos"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"punto y coma"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"menor que"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"igual"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"mayor que"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"interrogación derecho","defaultMP":"cierra interrogación"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"arroba"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"barra inversa"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circunflejo"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"subrayado"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"acento grave"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"admiración izquierdo","defaultMP":"abre admiración"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"centavo"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"libra esterlina"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"moneda"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"barra vertical partida"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"sección"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"diéresis"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"ordinal femenino"}},"category":"Lo"},{"key":"00AB","mappings":{"default":{"default":"comillas angulares izquierda","defaultMP":"abre comillas angulares"}},"category":"Pi"},{"key":"00AC","mappings":{"default":{"default":"negación"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"registrado"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"barra"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"grado"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"más menos"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"acento agudo"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"micro"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"párrafo"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"punto medio"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"cedilla"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"ordinal masculino"}},"category":"Lo"},{"key":"00BB","mappings":{"default":{"default":"comillas angulares derecha","defaultMP":"cierra comillas angulares"}},"category":"Pf"},{"key":"00BF","mappings":{"default":{"default":"interrogación izquierdo","defaultMP":"abre interrogación"}},"category":"Po"},{"key":"00D7","mappings":{"default":{"default":"por"}},"category":"Sm"},{"key":"00F7","mappings":{"default":{"default":"dividido"}},"category":"Sm"},{"key":"02D8","mappings":{"default":{"default":"breve"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"punto en superescrito"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"anillo en superescrito"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"doble acento agudo"}},"category":"Sk"},{"key":"2010","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"key":"2013","mappings":{"default":{"default":"en raya"}},"category":"Pd"},{"key":"2014","mappings":{"default":{"default":"em raya"}},"category":"Pd"},{"key":"2015","mappings":{"default":{"default":"barra horizontal"}},"category":"Pd"},{"key":"2016","mappings":{"default":{"default":"doble barra vertical"}},"category":"Po"},{"key":"2018","mappings":{"default":{"default":"comilla izquierda"}},"category":"Pi"},{"key":"2019","mappings":{"default":{"default":"comilla derecha"}},"category":"Pf"},{"key":"201A","mappings":{"default":{"default":"comilla bajo 9"}},"category":"Ps"},{"key":"201C","mappings":{"default":{"default":"doble comilla"}},"category":"Pi"},{"key":"201D","mappings":{"default":{"default":"doble comilla derecha"}},"category":"Pf"},{"key":"201E","mappings":{"default":{"default":"doble comilla bajo 9"}},"category":"Ps"},{"key":"2020","mappings":{"default":{"default":"daga"}},"category":"Po"},{"key":"2021","mappings":{"default":{"default":"doble daga"}},"category":"Po"},{"key":"2022","mappings":{"default":{"default":"bala"}},"category":"Po"},{"key":"2025","mappings":{"default":{"default":"dos puntos líder"}},"category":"Po"},{"key":"2026","mappings":{"default":{"default":"puntos suspensivos"}},"category":"Po"},{"key":"2030","mappings":{"default":{"default":"tanto por millar"}},"category":"Po"},{"key":"2031","mappings":{"default":{"default":"tanto por diez mil"}},"category":"Po"},{"key":"2032","mappings":{"default":{"default":"prima"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"segunda"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"tercera"}},"category":"Po"},{"key":"2035","mappings":{"default":{"default":"acento grave"}},"category":"Po"},{"key":"2036","mappings":{"default":{"default":"doble acento grave"}},"category":"Po"},{"key":"2039","mappings":{"default":{"default":"comillas izquierda","defaultMP":"abre comillas"}},"category":"Pi"},{"key":"203A","mappings":{"default":{"default":"comillas derecha","defaultMP":"cierra comillas"}},"category":"Pf"},{"key":"203E","mappings":{"default":{"default":"barra superior"}},"category":"Po"},{"key":"2040","mappings":{"default":{"default":"ligadura"}},"category":"Pc"},{"key":"2041","mappings":{"default":{"default":"punto de inserción"}},"category":"Po"},{"key":"2043","mappings":{"default":{"default":"guión bala"}},"category":"Po"},{"key":"2044","mappings":{"default":{"default":"barra de fracción"}},"category":"Sm"},{"key":"204F","mappings":{"default":{"default":"punto y coma invertido"}},"category":"Po"},{"key":"2050","mappings":{"default":{"default":"cierre superior"}},"category":"Po"},{"key":"2057","mappings":{"default":{"default":"cuarta"}},"category":"Po"},{"key":"2200","mappings":{"default":{"default":"para todo"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"complementario"}},"category":"Sm"},{"key":"2202","mappings":{"default":{"default":"derivada parcial"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"existe"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"no existe"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"conjunto vacío"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"incremento"}},"category":"Sm"},{"key":"2207","mappings":{"default":{"default":"gradiente"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"no perteneciente a"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"no comprende a"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"fin de demostración"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"producto"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"sumatorio"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"menos más"}},"category":"Sm"},{"key":"2214","mappings":{"default":{"default":"punto más"}},"category":"Sm"},{"key":"2215","mappings":{"default":{"default":"barra de división"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"asterisco"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"composición"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"bala"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"raíz"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"raíz cúbica"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"raíz cuarta"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proporcional a"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"infinito"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"ángulo recto"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"ángulo"}},"category":"Sm"},{"key":"2221","mappings":{"default":{"default":"ángulo medido"}},"category":"Sm"},{"key":"2222","mappings":{"default":{"default":"ángulo esférico"}},"category":"Sm"},{"key":"2223","mappings":{"default":{"default":"divide a"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"no divide a"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"paralela a"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"no paralela a"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"integral"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"integral doble"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"integral triple"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"integral de contorno"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"integral de superficie"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"integral de volumen"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"integral de contorno en sentido antihorario"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"por lo tanto"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"porque"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"razón"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"proporción"}},"category":"Sm"},{"key":"2238","mappings":{"default":{"default":"punto menos"}},"category":"Sm"},{"key":"2239","mappings":{"default":{"default":"exceso"}},"category":"Sm"},{"key":"223A","mappings":{"default":{"default":"proporción geométrica"}},"category":"Sm"},{"key":"223B","mappings":{"default":{"default":"homotecia"}},"category":"Sm"},{"key":"223C","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"223D","mappings":{"default":{"default":"tilde invertido"}},"category":"Sm"},{"key":"223E","mappings":{"default":{"default":"s horizontal invertida"}},"category":"Sm"},{"key":"223F","mappings":{"default":{"default":"sinusoide"}},"category":"Sm"},{"key":"2240","mappings":{"default":{"default":"producto de guirnalda"}},"category":"Sm"},{"key":"2241","mappings":{"default":{"default":"no tilde"}},"category":"Sm"},{"key":"2242","mappings":{"default":{"default":"menos tilde"}},"category":"Sm"},{"key":"2243","mappings":{"default":{"default":"asintóticamente igual a"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"no asintóticamente igual a"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"aproximadamente igual a"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"aproximado pero no igual a"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"no aproximado a"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"aproximado","defaultMP":"casi igual a"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"no es casi igual a"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"igual o casi igual a"}},"category":"Sm"},{"key":"224B","mappings":{"default":{"default":"triple tilde"}},"category":"Sm"},{"key":"224C","mappings":{"default":{"default":"todo igual a"}},"category":"Sm"},{"key":"224D","mappings":{"default":{"default":"equivalente a"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"geométricamente equivalente a"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"se acerca al límite"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"geométricamente igual a"}},"category":"Sm"},{"key":"2252","mappings":{"default":{"default":"aproximadamente igual a o imagen de"}},"category":"Sm"},{"key":"2253","mappings":{"default":{"default":"imagen de o aproximadamente igual a"}},"category":"Sm"},{"key":"2254","mappings":{"default":{"default":"dos puntos igual"}},"category":"Sm"},{"key":"2255","mappings":{"default":{"default":"igual dos puntos"}},"category":"Sm"},{"key":"2256","mappings":{"default":{"default":"igual incluyendo anillo"}},"category":"Sm"},{"key":"2257","mappings":{"default":{"default":"igual anillo a"}},"category":"Sm"},{"key":"2258","mappings":{"default":{"default":"corresponde a"}},"category":"Sm"},{"key":"2259","mappings":{"default":{"default":"estima a"}},"category":"Sm"},{"key":"225A","mappings":{"default":{"default":"equiangular con"}},"category":"Sm"},{"key":"225B","mappings":{"default":{"default":"igual con estrella"}},"category":"Sm"},{"key":"225C","mappings":{"default":{"default":"igual con delta"}},"category":"Sm"},{"key":"225D","mappings":{"default":{"default":"igual por definición a"}},"category":"Sm"},{"key":"225E","mappings":{"default":{"default":"medido por"}},"category":"Sm"},{"key":"225F","mappings":{"default":{"default":"igual con interrogante"}},"category":"Sm"},{"key":"2260","mappings":{"default":{"default":"no es igual a","defaultMP":"distinto de"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"idéntico a"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"no es idéntico a"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"estrictamente equivalente a"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"entre"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"no equivalente a"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"no menor que"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"no mayor que"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"no menor ni igual a"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"no mayor ni igual a"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"menor o equivalente a"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"mayor o equivalente a"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"no menor ni equivalente a"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"no mayor ni equivalente a"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"menor o mayor que"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"no menor ni mayor que"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"no mayor ni menor que"}},"category":"Sm"},{"key":"227A","mappings":{"default":{"default":"precede a"}},"category":"Sm"},{"key":"227B","mappings":{"default":{"default":"sigue a"}},"category":"Sm"},{"key":"227C","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"227D","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"227E","mappings":{"default":{"default":"precede o es equivalente a"}},"category":"Sm"},{"key":"227F","mappings":{"default":{"default":"sigue o es equivalente a"}},"category":"Sm"},{"key":"2280","mappings":{"default":{"default":"no precede a"}},"category":"Sm"},{"key":"2281","mappings":{"default":{"default":"no sigue a"}},"category":"Sm"},{"key":"2282","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"2283","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"2284","mappings":{"default":{"default":"no incluido en"}},"category":"Sm"},{"key":"2285","mappings":{"default":{"default":"no contiene a"}},"category":"Sm"},{"key":"2286","mappings":{"default":{"default":"incluido o igual a"}},"category":"Sm"},{"key":"2287","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"2288","mappings":{"default":{"default":"no incluido ni igual a"}},"category":"Sm"},{"key":"2289","mappings":{"default":{"default":"no contiene ni es igual a"}},"category":"Sm"},{"key":"228A","mappings":{"default":{"default":"incluido estrictamente en"}},"category":"Sm"},{"key":"228B","mappings":{"default":{"default":"contiene estrictamente a"}},"category":"Sm"},{"key":"228C","mappings":{"default":{"default":"familia de conjuntos"}},"category":"Sm"},{"key":"228D","mappings":{"default":{"default":"producto de familia de conjuntos"}},"category":"Sm"},{"key":"228E","mappings":{"default":{"default":"unión de familia de conjuntos"}},"category":"Sm"},{"key":"228F","mappings":{"default":{"default":"imagen cuadrada de"}},"category":"Sm"},{"key":"2290","mappings":{"default":{"default":"original cuadrado de"}},"category":"Sm"},{"key":"2291","mappings":{"default":{"default":"imagen cuadrada de o igual a"}},"category":"Sm"},{"key":"2292","mappings":{"default":{"default":"original cuadrado de o igual a"}},"category":"Sm"},{"key":"2293","mappings":{"default":{"default":"intersección cuadrada"}},"category":"Sm"},{"key":"2294","mappings":{"default":{"default":"unión cuadrada"}},"category":"Sm"},{"key":"2295","mappings":{"default":{"default":"más en círculo"}},"category":"Sm"},{"key":"2296","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"2297","mappings":{"default":{"default":"por en círculo"}},"category":"Sm"},{"key":"2298","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"2299","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"229A","mappings":{"default":{"default":"anillo en círculo"}},"category":"Sm"},{"key":"229B","mappings":{"default":{"default":"asterisco en círculo"}},"category":"Sm"},{"key":"229C","mappings":{"default":{"default":"igual en círculo"}},"category":"Sm"},{"key":"229D","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"229E","mappings":{"default":{"default":"más en cuadrado"}},"category":"Sm"},{"key":"229F","mappings":{"default":{"default":"menos en cuadrado"}},"category":"Sm"},{"key":"22A0","mappings":{"default":{"default":"veces en cuadrado"}},"category":"Sm"},{"key":"22A1","mappings":{"default":{"default":"punto en cuadrado"}},"category":"Sm"},{"key":"22A2","mappings":{"default":{"default":"t horizontal hacia la izquierda"}},"category":"Sm"},{"key":"22A3","mappings":{"default":{"default":"t horizontal hacia la derecha"}},"category":"Sm"},{"key":"22A4","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"22A5","mappings":{"default":{"default":"perpendicular invertida"}},"category":"Sm"},{"key":"22A6","mappings":{"default":{"default":"afirmación"}},"category":"Sm"},{"key":"22A7","mappings":{"default":{"default":"modela"}},"category":"Sm"},{"key":"22A8","mappings":{"default":{"default":"verdadero"}},"category":"Sm"},{"key":"22A9","mappings":{"default":{"default":"obliga"}},"category":"Sm"},{"key":"22AA","mappings":{"default":{"default":"triple barra vertical torniquete derecho"}},"category":"Sm"},{"key":"22AB","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho"}},"category":"Sm"},{"key":"22AC","mappings":{"default":{"default":"no prueba"}},"category":"Sm"},{"key":"22AD","mappings":{"default":{"default":"falso"}},"category":"Sm"},{"key":"22AE","mappings":{"default":{"default":"no obliga"}},"category":"Sm"},{"key":"22AF","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho negada"}},"category":"Sm"},{"key":"22B0","mappings":{"default":{"default":"precede respecto de"}},"category":"Sm"},{"key":"22B1","mappings":{"default":{"default":"sigue respecto de"}},"category":"Sm"},{"key":"22B2","mappings":{"default":{"default":"subgrupo normal de"}},"category":"Sm"},{"key":"22B3","mappings":{"default":{"default":"contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22B4","mappings":{"default":{"default":"subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B5","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B6","mappings":{"default":{"default":"original de"}},"category":"Sm"},{"key":"22B7","mappings":{"default":{"default":"imagen de"}},"category":"Sm"},{"key":"22B8","mappings":{"default":{"default":"multifunción"}},"category":"Sm"},{"key":"22B9","mappings":{"default":{"default":"matriz hermitiana conjugada"}},"category":"Sm"},{"key":"22BA","mappings":{"default":{"default":"interpola"}},"category":"Sm"},{"key":"22BB","mappings":{"default":{"default":"o excluyente"}},"category":"Sm"},{"key":"22BC","mappings":{"default":{"default":"no y"}},"category":"Sm"},{"key":"22BD","mappings":{"default":{"default":"no o"}},"category":"Sm"},{"key":"22BF","mappings":{"default":{"default":"triángulo rectángulo"}},"category":"Sm"},{"key":"22C0","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"22C1","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"22C2","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"22C3","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"22C4","mappings":{"default":{"default":"operador diamante"}},"category":"Sm"},{"key":"22C5","mappings":{"default":{"default":"punto"}},"category":"Sm"},{"key":"22C6","mappings":{"default":{"default":"estrella"}},"category":"Sm"},{"key":"22C7","mappings":{"default":{"default":"dividido por"}},"category":"Sm"},{"key":"22C8","mappings":{"default":{"default":"moño"}},"category":"Sm"},{"key":"22C9","mappings":{"default":{"default":"factor normal izquierdo producto semidirecto"}},"category":"Sm"},{"key":"22CA","mappings":{"default":{"default":"factor normal derecho producto semidirecto"}},"category":"Sm"},{"key":"22CB","mappings":{"default":{"default":"producto semidirecto izquierdo"}},"category":"Sm"},{"key":"22CC","mappings":{"default":{"default":"producto semidirecto derecho"}},"category":"Sm"},{"key":"22CD","mappings":{"default":{"default":"tilde invertida igual a"}},"category":"Sm"},{"key":"22CE","mappings":{"default":{"default":"o rizada"}},"category":"Sm"},{"key":"22CF","mappings":{"default":{"default":"y rizada"}},"category":"Sm"},{"key":"22D0","mappings":{"default":{"default":"doble incluido"}},"category":"Sm"},{"key":"22D1","mappings":{"default":{"default":"doble contiene"}},"category":"Sm"},{"key":"22D2","mappings":{"default":{"default":"doble intersección"}},"category":"Sm"},{"key":"22D3","mappings":{"default":{"default":"doble unión"}},"category":"Sm"},{"key":"22D4","mappings":{"default":{"default":"bieldo"}},"category":"Sm"},{"key":"22D5","mappings":{"default":{"default":"paralela o igual a"}},"category":"Sm"},{"key":"22D6","mappings":{"default":{"default":"menor que con punto"}},"category":"Sm"},{"key":"22D7","mappings":{"default":{"default":"mayor que con punto"}},"category":"Sm"},{"key":"22D8","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"22D9","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"22DA","mappings":{"default":{"default":"menor igual o mayor que"}},"category":"Sm"},{"key":"22DB","mappings":{"default":{"default":"mayor igual o menor que"}},"category":"Sm"},{"key":"22DC","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"22DD","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"22DE","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"22DF","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"22E0","mappings":{"default":{"default":"no precede ni es igual a"}},"category":"Sm"},{"key":"22E1","mappings":{"default":{"default":"no sigue ni es igual a"}},"category":"Sm"},{"key":"22E2","mappings":{"default":{"default":"no es imagen cuadrada ni igual a"}},"category":"Sm"},{"key":"22E3","mappings":{"default":{"default":"no es original cuadrada ni igual a"}},"category":"Sm"},{"key":"22E4","mappings":{"default":{"default":"imagen cuadrada estricta"}},"category":"Sm"},{"key":"22E5","mappings":{"default":{"default":"original cuadrada estricta"}},"category":"Sm"},{"key":"22E6","mappings":{"default":{"default":"menor que no equivalente a"}},"category":"Sm"},{"key":"22E7","mappings":{"default":{"default":"mayor que no equivalente a"}},"category":"Sm"},{"key":"22E8","mappings":{"default":{"default":"precede no equivalente a"}},"category":"Sm"},{"key":"22E9","mappings":{"default":{"default":"sigue no equivalente a"}},"category":"Sm"},{"key":"22EA","mappings":{"default":{"default":"no subgrupo normal de"}},"category":"Sm"},{"key":"22EB","mappings":{"default":{"default":"no contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22EC","mappings":{"default":{"default":"no es subgrupo normal ni igual a"}},"category":"Sm"},{"key":"22ED","mappings":{"default":{"default":"no contiene como subgrupo normal ni es igual a"}},"category":"Sm"},{"key":"22EE","mappings":{"default":{"default":"puntos suspensivos verticales"}},"category":"Sm"},{"key":"22EF","mappings":{"default":{"default":"puntos suspensivos altos"}},"category":"Sm"},{"key":"22F0","mappings":{"default":{"default":"puntos suspensivos diagonales subiendo"}},"category":"Sm"},{"key":"22F1","mappings":{"default":{"default":"puntos suspensivos diagonales bajando"}},"category":"Sm"},{"key":"22F2","mappings":{"default":{"default":"pertenece con trazo horizontal"}},"category":"Sm"},{"key":"22F3","mappings":{"default":{"default":"pertenece con barra vertical al fin de raya horizontal"}},"category":"Sm"},{"key":"22F4","mappings":{"default":{"default":"pertenece en pequeño con trazo vertical"}},"category":"Sm"},{"key":"22F5","mappings":{"default":{"default":"pertenece con punto arriba"}},"category":"Sm"},{"key":"22F6","mappings":{"default":{"default":"pertenece con barra arriba"}},"category":"Sm"},{"key":"22F7","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F8","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F9","mappings":{"default":{"default":"pertenece con dos trazos horizontales"}},"category":"Sm"},{"key":"22FA","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"22FB","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FC","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FD","mappings":{"default":{"default":"contiene con barra"}},"category":"Sm"},{"key":"22FE","mappings":{"default":{"default":"perteneciente con barra"}},"category":"Sm"},{"key":"22FF","mappings":{"default":{"default":"z anotación asociación de bolsa"}},"category":"Sm"},{"key":"2300","mappings":{"default":{"default":"diámetro"}},"category":"So"},{"key":"2302","mappings":{"default":{"default":"casa"}},"category":"So"},{"key":"2305","mappings":{"default":{"default":"en proyectividad con"}},"category":"So"},{"key":"2306","mappings":{"default":{"default":"en perspectividad con"}},"category":"So"},{"key":"2310","mappings":{"default":{"default":"no invertido"}},"category":"So"},{"key":"2312","mappings":{"default":{"default":"arco"}},"category":"So"},{"key":"2313","mappings":{"default":{"default":"segmento"}},"category":"So"},{"key":"27C1","mappings":{"default":{"default":"triángulo encerrando triángulo"}},"category":"Sm"},{"key":"27C2","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27C3","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"27C4","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"27C7","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"27C8","mappings":{"default":{"default":"atrás tajo antes de subconjunto"}},"category":"Sm"},{"key":"27C9","mappings":{"default":{"default":"sobreconjunto antes de tajo"}},"category":"Sm"},{"key":"27CA","mappings":{"default":{"default":"barra vertical con golpe horizontal"}},"category":"Sm"},{"key":"27CC","mappings":{"default":{"default":"división larga"}},"category":"Sm"},{"key":"27D1","mappings":{"default":{"default":"y con punto interior"}},"category":"Sm"},{"key":"27D2","mappings":{"default":{"default":"elemento de apertura hacia arriba"}},"category":"Sm"},{"key":"27D3","mappings":{"default":{"default":"ángulo inferior derecho con punto"}},"category":"Sm"},{"key":"27D4","mappings":{"default":{"default":"ángulo inferior izquierdo con punto"}},"category":"Sm"},{"key":"27D5","mappings":{"default":{"default":"izquierdo exterior une"}},"category":"Sm"},{"key":"27D6","mappings":{"default":{"default":"derecho exterior une"}},"category":"Sm"},{"key":"27D7","mappings":{"default":{"default":"lleno exterior une"}},"category":"Sm"},{"key":"27D8","mappings":{"default":{"default":"perpendicular inversa"}},"category":"Sm"},{"key":"27D9","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27DA","mappings":{"default":{"default":"izquierdo y derecho doble torniquete"}},"category":"Sm"},{"key":"27DB","mappings":{"default":{"default":"doble T horizontal"}},"category":"Sm"},{"key":"27DC","mappings":{"default":{"default":"multifunción por la izquierda"}},"category":"Sm"},{"key":"27DD","mappings":{"default":{"default":"T horizontal derecha larga"}},"category":"Sm"},{"key":"27DE","mappings":{"default":{"default":"T horizontal izquierda larga"}},"category":"Sm"},{"key":"27DF","mappings":{"default":{"default":"perpendicular inversa con círculo arriba"}},"category":"Sm"},{"key":"27E0","mappings":{"default":{"default":"pastilla dividida por regla horizontal"}},"category":"Sm"},{"key":"27E1","mappings":{"default":{"default":"diamante cóncavo vacío"}},"category":"Sm"},{"key":"27E2","mappings":{"default":{"default":"diamante cóncavo con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E3","mappings":{"default":{"default":"diamante cóncavo con tictac hacia derecha"}},"category":"Sm"},{"key":"27E4","mappings":{"default":{"default":"cuadrado con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E5","mappings":{"default":{"default":"cuadrado con tictac hacia derecha"}},"category":"Sm"},{"key":"299A","mappings":{"default":{"default":"zigzag en vertical"}},"category":"Sm"},{"key":"29B0","mappings":{"default":{"default":"conjunto vacío invertido"}},"category":"Sm"},{"key":"29B1","mappings":{"default":{"default":"conjunto vacío con barra"}},"category":"Sm"},{"key":"29B2","mappings":{"default":{"default":"conjunto vacío con círculo"}},"category":"Sm"},{"key":"29B5","mappings":{"default":{"default":"círculo con barra"}},"category":"Sm"},{"key":"29B6","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"29B7","mappings":{"default":{"default":"paralelas en círculo"}},"category":"Sm"},{"key":"29B9","mappings":{"default":{"default":"perpendicular en círculo"}},"category":"Sm"},{"key":"29BB","mappings":{"default":{"default":"x superimpresa en círculo"}},"category":"Sm"},{"key":"29BC","mappings":{"default":{"default":"circled anticlockwise rotated division"}},"category":"Sm"},{"key":"29BE","mappings":{"default":{"default":"bullet vacía en círculo"}},"category":"Sm"},{"key":"29BF","mappings":{"default":{"default":"bullet en círculo"}},"category":"Sm"},{"key":"29C0","mappings":{"default":{"default":"menor que en círculo"}},"category":"Sm"},{"key":"29C1","mappings":{"default":{"default":"mayor que en círculo"}},"category":"Sm"},{"key":"29C2","mappings":{"default":{"default":"círculo con círculo a la derecha"}},"category":"Sm"},{"key":"29C3","mappings":{"default":{"default":"circle with two horizontal strokes to the right"}},"category":"Sm"},{"key":"29C4","mappings":{"default":{"default":"cuadrado con diagonal ascendente"}},"category":"Sm"},{"key":"29C5","mappings":{"default":{"default":"cuadrado con diagonal descendente"}},"category":"Sm"},{"key":"29C9","mappings":{"default":{"default":"dos cuadrados unidos"}},"category":"Sm"},{"key":"29CD","mappings":{"default":{"default":"triangle with serifs at bottom"}},"category":"Sm"},{"key":"29CE","mappings":{"default":{"default":"triángulo hacia la derecha sobre triángulo hacia la izquierda"}},"category":"Sm"},{"key":"29CF","mappings":{"default":{"default":"subgrupo normal o igual a"}},"category":"Sm"},{"key":"29D0","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"key":"29DC","mappings":{"default":{"default":"infinito incompleto"}},"category":"Sm"},{"key":"29DE","mappings":{"default":{"default":"no infinito"}},"category":"Sm"},{"key":"29E3","mappings":{"default":{"default":"igual tachado doble "}},"category":"Sm"},{"key":"29E4","mappings":{"default":{"default":"igual con tilde, con doble tachado"}},"category":"Sm"},{"key":"29E5","mappings":{"default":{"default":"idéntico a con doble tachado"}},"category":"Sm"},{"key":"29EB","mappings":{"default":{"default":"rombo relleno"}},"category":"Sm"},{"key":"29F4","mappings":{"default":{"default":"rule delayed"}},"category":"Sm"},{"key":"29F6","mappings":{"default":{"default":"solidus with overbar"}},"category":"Sm"},{"key":"2A0C","mappings":{"default":{"default":"operador integral cuádruple"}},"category":"Sm"},{"key":"2A0D","mappings":{"default":{"default":"finite part integral"}},"category":"Sm"},{"key":"2A10","mappings":{"default":{"default":"circulation function"}},"category":"Sm"},{"key":"2A11","mappings":{"default":{"default":"integral en sentido antihorario"}},"category":"Sm"},{"key":"2A12","mappings":{"default":{"default":"integral lineal para rectángulo en polo"}},"category":"Sm"},{"key":"2A13","mappings":{"default":{"default":"integral lineal para semicírculo en polo"}},"category":"Sm"},{"key":"2A14","mappings":{"default":{"default":"integral lineal excluyendo el polo"}},"category":"Sm"},{"key":"2A15","mappings":{"default":{"default":"integral en torno de un punto operador"}},"category":"Sm"},{"key":"2A16","mappings":{"default":{"default":"operador integral para cuaterniones"}},"category":"Sm"},{"key":"2A22","mappings":{"default":{"default":"más con círculo"}},"category":"Sm"},{"key":"2A23","mappings":{"default":{"default":"más con ángulo"}},"category":"Sm"},{"key":"2A24","mappings":{"default":{"default":"tilde con más suscrito"}},"category":"Sm"},{"key":"2A25","mappings":{"default":{"default":"más con punto inferior"}},"category":"Sm"},{"key":"2A26","mappings":{"default":{"default":"tilde con más"}},"category":"Sm"},{"key":"2A27","mappings":{"default":{"default":"más con 2 suscrito"}},"category":"Sm"},{"key":"2A29","mappings":{"default":{"default":"menos con coma"}},"category":"Sm"},{"key":"2A2A","mappings":{"default":{"default":"menos con punto inferior"}},"category":"Sm"},{"key":"2A2D","mappings":{"default":{"default":"más en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A2E","mappings":{"default":{"default":"más en semicírculo derecho"}},"category":"Sm"},{"key":"2A2F","mappings":{"default":{"default":"producto vectorial"}},"category":"Sm"},{"key":"2A30","mappings":{"default":{"default":"por con punto"}},"category":"Sm"},{"key":"2A31","mappings":{"default":{"default":"por con subrayado"}},"category":"Sm"},{"key":"2A33","mappings":{"default":{"default":"smash product"}},"category":"Sm"},{"key":"2A34","mappings":{"default":{"default":"por en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A35","mappings":{"default":{"default":"por en semicírculo derecho"}},"category":"Sm"},{"key":"2A36","mappings":{"default":{"default":"por en círculo con ángulo"}},"category":"Sm"},{"key":"2A37","mappings":{"default":{"default":"por en anillo"}},"category":"Sm"},{"key":"2A38","mappings":{"default":{"default":"división en círculo"}},"category":"Sm"},{"key":"2A39","mappings":{"default":{"default":"más en triángulo"}},"category":"Sm"},{"key":"2A3A","mappings":{"default":{"default":"menos en triángulo"}},"category":"Sm"},{"key":"2A3B","mappings":{"default":{"default":"por en triángulo"}},"category":"Sm"},{"key":"2A3C","mappings":{"default":{"default":"producto interior"}},"category":"Sm"},{"key":"2A3F","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2A40","mappings":{"default":{"default":"intersección con punto"}},"category":"Sm"},{"key":"2A42","mappings":{"default":{"default":"unión con barra"}},"category":"Sm"},{"key":"2A43","mappings":{"default":{"default":"intersección con barra"}},"category":"Sm"},{"key":"2A44","mappings":{"default":{"default":"intersección con and"}},"category":"Sm"},{"key":"2A45","mappings":{"default":{"default":"unión con or"}},"category":"Sm"},{"key":"2A46","mappings":{"default":{"default":"unión sobre intersección"}},"category":"Sm"},{"key":"2A47","mappings":{"default":{"default":"intersección sobre unión"}},"category":"Sm"},{"key":"2A48","mappings":{"default":{"default":"unión sobre barra, sobre intersección"}},"category":"Sm"},{"key":"2A49","mappings":{"default":{"default":"intersección sobre barra, sobre unión "}},"category":"Sm"},{"key":"2A4A","mappings":{"default":{"default":"unión y unión"}},"category":"Sm"},{"key":"2A4B","mappings":{"default":{"default":"intersección e intersección"}},"category":"Sm"},{"key":"2A4C","mappings":{"default":{"default":"unión cerrada"}},"category":"Sm"},{"key":"2A4D","mappings":{"default":{"default":"intersección cerrada"}},"category":"Sm"},{"key":"2A50","mappings":{"default":{"default":"unión cerrada con por"}},"category":"Sm"},{"key":"2A53","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2A55","mappings":{"default":{"default":"two intersecting logical and"}},"category":"Sm"},{"key":"2A56","mappings":{"default":{"default":"two intersecting logical or"}},"category":"Sm"},{"key":"2A57","mappings":{"default":{"default":"sloping large or"}},"category":"Sm"},{"key":"2A58","mappings":{"default":{"default":"sloping large and"}},"category":"Sm"},{"key":"2A5A","mappings":{"default":{"default":"logical and with middle stem"}},"category":"Sm"},{"key":"2A5B","mappings":{"default":{"default":"logical or with middle stem"}},"category":"Sm"},{"key":"2A5C","mappings":{"default":{"default":"logical and with horizontal dash"}},"category":"Sm"},{"key":"2A5D","mappings":{"default":{"default":"logical or with horizontal dash"}},"category":"Sm"},{"key":"2A5F","mappings":{"default":{"default":"logical and with underbar"}},"category":"Sm"},{"key":"2A66","mappings":{"default":{"default":"igual con punto suscrito"}},"category":"Sm"},{"key":"2A6A","mappings":{"default":{"default":"tilde con punto"}},"category":"Sm"},{"key":"2A6D","mappings":{"default":{"default":"congruente con punto"}},"category":"Sm"},{"key":"2A6F","mappings":{"default":{"default":"casi igual con ángulo"}},"category":"Sm"},{"key":"2A71","mappings":{"default":{"default":"igual con más suscrito"}},"category":"Sm"},{"key":"2A72","mappings":{"default":{"default":"igual con más"}},"category":"Sm"},{"key":"2A73","mappings":{"default":{"default":"igual con operador tilde"}},"category":"Sm"},{"key":"2A74","mappings":{"default":{"default":"igual con dos puntos"}},"category":"Sm"},{"key":"2A75","mappings":{"default":{"default":"igual doble"}},"category":"Sm"},{"key":"2A77","mappings":{"default":{"default":"igual entre cuatro puntos"}},"category":"Sm"},{"key":"2A78","mappings":{"default":{"default":"equivalente con cuatro puntos"}},"category":"Sm"},{"key":"2A79","mappings":{"default":{"default":"menor que con círculo interior"}},"category":"Sm"},{"key":"2A7A","mappings":{"default":{"default":"mayor que con círculo interior"}},"category":"Sm"},{"key":"2A7B","mappings":{"default":{"default":"menor que con interrogante"}},"category":"Sm"},{"key":"2A7C","mappings":{"default":{"default":"mayor que con interrogante"}},"category":"Sm"},{"key":"2A7D","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2A7E","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"2A7F","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A80","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A81","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A82","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"key":"2A83","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A84","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"key":"2A89","mappings":{"default":{"default":"menor que, pero no aproximado a"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"mayor que, pero no aproximado a"}},"category":"Sm"},{"key":"2A8D","mappings":{"default":{"default":"menor, similar o igual a"}},"category":"Sm"},{"key":"2A8E","mappings":{"default":{"default":"mayor, similar o igual a"}},"category":"Sm"},{"key":"2A8F","mappings":{"default":{"default":"menor, similar o mayor que"}},"category":"Sm"},{"key":"2A90","mappings":{"default":{"default":"mayor, similar o menor que"}},"category":"Sm"},{"key":"2A91","mappings":{"default":{"default":"menor, mayor o igual a"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"mayor, menor o igual a"}},"category":"Sm"},{"key":"2A93","mappings":{"default":{"default":"estrictamente menor o mayor que"}},"category":"Sm"},{"key":"2A94","mappings":{"default":{"default":"estrictamente mayor o menor que"}},"category":"Sm"},{"key":"2A97","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A98","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A99","mappings":{"default":{"default":"menor o igual a"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"mayor o igual a"}},"category":"Sm"},{"key":"2A9D","mappings":{"default":{"default":"equivalente o menor que"}},"category":"Sm"},{"key":"2A9E","mappings":{"default":{"default":"mayor o similar a"}},"category":"Sm"},{"key":"2A9F","mappings":{"default":{"default":"similar, menor o igual a"}},"category":"Sm"},{"key":"2AA0","mappings":{"default":{"default":"similar, mayor o igual a"}},"category":"Sm"},{"key":"2AA1","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"2AA4","mappings":{"default":{"default":"menor que, mayor que"}},"category":"Sm"},{"key":"2AA5","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2AA6","mappings":{"default":{"default":"menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA7","mappings":{"default":{"default":"mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AA8","mappings":{"default":{"default":"estrictamente menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA9","mappings":{"default":{"default":"estrictamente mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AAA","mappings":{"default":{"default":"más reducido que"}},"category":"Sm"},{"key":"2AAB","mappings":{"default":{"default":"más amplio que"}},"category":"Sm"},{"key":"2AAC","mappings":{"default":{"default":"más reducido o igual a"}},"category":"Sm"},{"key":"2AAD","mappings":{"default":{"default":"más amplio o igual a"}},"category":"Sm"},{"key":"2AAE","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2AAF","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"2AB5","mappings":{"default":{"default":"precede estrictamente a"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"sigue estrictamente a"}},"category":"Sm"},{"key":"2ABB","mappings":{"default":{"default":"precede mucho antes"}},"category":"Sm"},{"key":"2ABC","mappings":{"default":{"default":"sigue mucho después"}},"category":"Sm"},{"key":"2ABD","mappings":{"default":{"default":"subrelación de"}},"category":"Sm"},{"key":"2ABE","mappings":{"default":{"default":"contiene como subrelación a"}},"category":"Sm"},{"key":"2ABF","mappings":{"default":{"default":"incluido con más suscrito"}},"category":"Sm"},{"key":"2AC0","mappings":{"default":{"default":"contiene con más suscrito"}},"category":"Sm"},{"key":"2AC1","mappings":{"default":{"default":"incluido con por suscrito"}},"category":"Sm"},{"key":"2AC2","mappings":{"default":{"default":"contiene con por suscrito"}},"category":"Sm"},{"key":"2AC3","mappings":{"default":{"default":"incluido con punto o es igual a"}},"category":"Sm"},{"key":"2AC4","mappings":{"default":{"default":"contiene con punto o es igual a"}},"category":"Sm"},{"key":"2AC7","mappings":{"default":{"default":"incluido aproximadamente en"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"contiene aproximadamente a"}},"category":"Sm"},{"key":"2ACF","mappings":{"default":{"default":"incluido con cierre en"}},"category":"Sm"},{"key":"2AD0","mappings":{"default":{"default":"contiene al cierre del subconjunto"}},"category":"Sm"},{"key":"2AD1","mappings":{"default":{"default":"incluido el cierre o es igual a"}},"category":"Sm"},{"key":"2AD2","mappings":{"default":{"default":"contiene al cierre del subconjunto o es igual a"}},"category":"Sm"},{"key":"2AD3","mappings":{"default":{"default":"está incluido o contiene a"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"incluido doblemente en"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"contiene doblemente a"}},"category":"Sm"},{"key":"2AD7","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD8","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD9","mappings":{"default":{"default":"perteneciente dirigido hacia abajo"}},"category":"Sm"},{"key":"2ADA","mappings":{"default":{"default":"pitchfork with tee top"}},"category":"Sm"},{"key":"2ADB","mappings":{"default":{"default":"transversal intersection"}},"category":"Sm"},{"key":"2AE4","mappings":{"default":{"default":"double left turnstile vertical bar"}},"category":"Sm"},{"key":"2AE6","mappings":{"default":{"default":"long dash from left member of double vertical"}},"category":"Sm"},{"key":"2AE7","mappings":{"default":{"default":"short down tack with overbar"}},"category":"Sm"},{"key":"2AE8","mappings":{"default":{"default":"barra con perpendicular"}},"category":"Sm"},{"key":"2AE9","mappings":{"default":{"default":"short up tack above short down tack"}},"category":"Sm"},{"key":"2AEB","mappings":{"default":{"default":"double up tack"}},"category":"Sm"},{"key":"2AEC","mappings":{"default":{"default":"double stroke not sign"}},"category":"Sm"},{"key":"2AED","mappings":{"default":{"default":"reversed double stroke not sign"}},"category":"Sm"},{"key":"2AEE","mappings":{"default":{"default":"does not divide with reversed negation slash"}},"category":"Sm"},{"key":"2AEF","mappings":{"default":{"default":"barra vertical con círculo"}},"category":"Sm"},{"key":"2AF0","mappings":{"default":{"default":"barra con círculo inferior"}},"category":"Sm"},{"key":"2AF1","mappings":{"default":{"default":"down tack with circle below"}},"category":"Sm"},{"key":"2AF2","mappings":{"default":{"default":"paralela con marca"}},"category":"Sm"},{"key":"2AF3","mappings":{"default":{"default":"paralela con tilde"}},"category":"Sm"},{"key":"FE68","mappings":{"default":{"default":"división entera"}},"category":"Po"},{"key":"FF5C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/math_whitespace.js b/unpacked/extensions/a11y/mathmaps/es/symbols/math_whitespace.js
deleted file mode 100644
index d0a84b548c..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/math_whitespace.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"guión corto"}},"category":"Cf"},{"key":"2002","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2004","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2005","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2007","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2008","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"200C","mappings":{"default":{"default":"ancho de cero no ensamblador"}},"category":"Cf"},{"key":"200D","mappings":{"default":{"default":"ancho de cero ensamblador"}},"category":"Cf"},{"key":"200E","mappings":{"default":{"default":"marca de izquierda a derecha"}},"category":"Cf"},{"key":"200F","mappings":{"default":{"default":"marca de derecha a izquierda"}},"category":"Cf"},{"key":"205F","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2060","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"2061","mappings":{"default":{"default":"de"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":"por"}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":"coma"}},"category":"Cf"},{"key":"2064","mappings":{"default":{"default":"más"}},"category":"Cf"},{"key":"FEFF","mappings":{"default":{"default":""}},"category":"Cf"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/symbols/other_stars.js b/unpacked/extensions/a11y/mathmaps/es/symbols/other_stars.js
deleted file mode 100644
index ef2db11225..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/symbols/other_stars.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"2605","mappings":{"default":{"default":"estrella rellena"}},"category":"So"},{"key":"2606","mappings":{"default":{"default":"estrella vacía"}},"category":"So"},{"key":"2713","mappings":{"default":{"default":"check mark"}},"category":"So"},{"key":"2717","mappings":{"default":{"default":"ballot x"}},"category":"So"},{"key":"2720","mappings":{"default":{"default":"cruz de Malta"}},"category":"So"},{"key":"2736","mappings":{"default":{"default":"estrella rellena de seis puntas"}},"category":"So"},{"key":"273D","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"category":"So"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/units/energy.js b/unpacked/extensions/a11y/mathmaps/es/units/energy.js
deleted file mode 100644
index b48322e465..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/units/energy.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"W","names":["W","w"],"mappings":{"default":{"default":"watt"}},"category":"energy"},{"key":"kW","names":["kw","kW"],"mappings":{"default":{"default":"kilowatt"}},"category":"energy"},{"key":"mW","names":["mw","mW"],"mappings":{"default":{"default":"miliwatt"}},"category":"energy"},{"key":"kwh","names":["kwh","kWh"],"mappings":{"default":{"default":"kilowatt hora"}},"category":"energy"},{"key":"J","names":["J"],"mappings":{"default":{"default":"Joules"}},"category":"energy"},{"key":"N","names":["N"],"mappings":{"default":{"default":"Newton"}},"category":"energy"},{"key":"A","names":["A"],"mappings":{"default":{"default":"Ampere"}},"category":"energy"},{"key":"V","names":["V"],"mappings":{"default":{"default":"Voltio"}},"category":"energy"},{"key":"µΩ","names":["µΩ"],"mappings":{"default":{"default":"microohmio"}},"category":"energy"},{"key":"mΩ","names":["mΩ"],"mappings":{"default":{"default":"miliohmio"}},"category":"energy"},{"key":"Ω","names":["Ω","Ohm"],"mappings":{"default":{"default":"ohmio"}},"category":"energy"},{"key":"kΩ","names":["kΩ","KΩ"],"mappings":{"default":{"default":"kiloohmio"}},"category":"energy"},{"key":"MΩ","names":["MΩ"],"mappings":{"default":{"default":"megaohmio"}},"category":"energy"},{"key":"GΩ","names":["GΩ"],"mappings":{"default":{"default":"gigaohmio"}},"category":"energy"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/units/length.js b/unpacked/extensions/a11y/mathmaps/es/units/length.js
deleted file mode 100644
index 50ed29f34d..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/units/length.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"mm","names":["mm"],"mappings":{"default":{"default":"milímetro"}},"category":"Length"},{"key":"cm","names":["cm"],"mappings":{"default":{"default":"centímetro"}},"category":"Length"},{"key":"m","names":["m"],"mappings":{"default":{"default":"metro"}},"category":"Length"},{"key":"km","names":["km"],"mappings":{"default":{"default":"kilómetro"}},"category":"Length"},{"key":"ft","names":["ft","ft."],"mappings":{"default":{"default":"pies"}},"category":"Length"},{"key":"in","names":["in","in."],"mappings":{"default":{"default":"pulgada"}},"category":"Length"},{"key":"mi","names":["mi","mi."],"mappings":{"default":{"default":"milla"}},"category":"Length"},{"key":"yd","names":["yd","yd."],"mappings":{"default":{"default":"yarda"}},"category":"Length"},{"key":"n.m.","names":["n.m."],"mappings":{"default":{"default":"millas náuticas"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/units/memory.js b/unpacked/extensions/a11y/mathmaps/es/units/memory.js
deleted file mode 100644
index 3c6546d4a6..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/units/memory.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"b","names":["b"],"mappings":{"default":{"default":"bit"}}},{"key":"B","names":["B"],"mappings":{"default":{"default":"byte"}}},{"key":"KB","names":["KB"],"mappings":{"default":{"default":"kilobyte"}}},{"key":"MB","names":["MB"],"mappings":{"default":{"default":"megabyte"}}},{"key":"GB","names":["GB"],"mappings":{"default":{"default":"gigabyte"}}},{"key":"TB","names":["TB"],"mappings":{"default":{"default":"terabyte"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/units/other.js b/unpacked/extensions/a11y/mathmaps/es/units/other.js
deleted file mode 100644
index 39efb2ed4e..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/units/other.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"doz","names":["doz","doz.","dz","dz."],"mappings":{"default":{"default":"docena"}}},{"key":"sq","names":["sq","sq."],"mappings":{"default":{"default":"al cuadrado"}}},{"key":"ha","names":["ha"],"mappings":{"default":{"default":"hectarea"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/units/speed.js b/unpacked/extensions/a11y/mathmaps/es/units/speed.js
deleted file mode 100644
index d129924e89..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/units/speed.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"kt","names":["kt","kt."],"mappings":{"default":{"default":"nudo"}}},{"key":"mph","names":["mph"],"mappings":{"default":{"default":"millas por hora"}}},{"key":"rpm","names":["rpm"],"mappings":{"default":{"default":"revoluciones por minuto"}}},{"key":"kmh","names":["kmh"],"mappings":{"default":{"default":"kilómetros por hora"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/units/temperature.js b/unpacked/extensions/a11y/mathmaps/es/units/temperature.js
deleted file mode 100644
index a9d81c73d7..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/units/temperature.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"F","names":["F","F.","°F"],"mappings":{"default":{"default":"Fahrenheit"}}},{"key":"C","names":["C","°C"],"mappings":{"default":{"default":"centígrados"}}},{"key":"K","names":["K","°K"],"mappings":{"default":{"default":"Kelvin"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/units/time.js b/unpacked/extensions/a11y/mathmaps/es/units/time.js
deleted file mode 100644
index 2cc4ead9c6..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/units/time.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"ns","names":["ns"],"mappings":{"default":{"default":"nanosegundos"}},"category":"time"},{"key":"µs","names":["µs"],"mappings":{"default":{"default":"microsegundos"}},"category":"time"},{"key":"ms","names":["ms"],"mappings":{"default":{"default":"milisegundos"}},"category":"time"},{"key":"s","names":["s"],"mappings":{"default":{"default":"segundos"}},"category":"time"},{"key":"min","names":["min"],"mappings":{"default":{"default":"minutos"}},"category":"time"},{"key":"h","names":["h","hr"],"mappings":{"default":{"default":"hora"}},"category":"time"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/units/volume.js b/unpacked/extensions/a11y/mathmaps/es/units/volume.js
deleted file mode 100644
index 138fb9dba0..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/units/volume.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"bbl","names":["bbl.","bbl"],"mappings":{"default":{"default":"barrile"}},"category":"volume"},{"key":"cu","names":["cu","cu."],"mappings":{"default":{"default":"cúbico"}},"category":"volume"},{"key":"fl. oz.","names":["fl. oz."],"mappings":{"default":{"default":"onzas líquidas"}},"category":"volume"},{"key":"gal","names":["gal","gal."],"mappings":{"default":{"default":"galone"}},"category":"volume"},{"key":"pt","names":["pt","pt."],"mappings":{"default":{"default":"pinta"}},"category":"volume"},{"key":"qt","names":["qt","qt."],"mappings":{"default":{"default":"quart"}},"category":"volume"},{"key":"tbsp","names":["tbsp","tbsp."],"mappings":{"default":{"default":"cuchara"}},"category":"volume"},{"key":"tsp","names":["tsp","tsp."],"mappings":{"default":{"default":"cucharilla"}},"category":"volume"},{"key":"cc","names":["cc"],"mappings":{"default":{"default":"centímetros cúbicos"}},"category":"volume"},{"key":"kl","names":["kl"],"mappings":{"default":{"default":"kilolitro"}},"category":"volume"},{"key":"l","names":["l"],"mappings":{"default":{"default":"litro"}},"category":"volume"},{"key":"ml","names":["ml"],"mappings":{"default":{"default":"mililitro"}},"category":"volume"}]
diff --git a/unpacked/extensions/a11y/mathmaps/es/units/weight.js b/unpacked/extensions/a11y/mathmaps/es/units/weight.js
deleted file mode 100644
index 6048fcf3c5..0000000000
--- a/unpacked/extensions/a11y/mathmaps/es/units/weight.js
+++ /dev/null
@@ -1 +0,0 @@
-[{"locale":"es"},{"key":"lb","names":["lb","lb."],"mappings":{"default":{"default":"libra"}}},{"key":"LT","names":["LT","L.T."],"mappings":{"default":{"default":"libras imperiales"}}},{"key":"oz","names":["oz","oz."],"mappings":{"default":{"default":"onza"}}},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"microgramo"}}},{"key":"gr","names":["g","gr"],"mappings":{"default":{"default":"gramo"}}},{"key":"kg","names":["kg"],"mappings":{"default":{"default":"kilogramo"}}},{"key":"mg","names":["mg"],"mappings":{"default":{"default":"miligramo"}}},{"key":"t","names":["t","T"],"mappings":{"default":{"default":"tonelada"}}}]
diff --git a/unpacked/extensions/a11y/mathmaps/fr.js b/unpacked/extensions/a11y/mathmaps/fr.js
new file mode 100644
index 0000000000..951111252d
--- /dev/null
+++ b/unpacked/extensions/a11y/mathmaps/fr.js
@@ -0,0 +1,104 @@
+{
+"fr/functions/algebra.js": 
+[{"locale":"fr"},{"category":"Algebra","mappings":{"default":{"default":"degré"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"déterminant"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphisme"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"noyau"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]
+,
+"fr/functions/elementary.js": 
+[{"locale":"fr"},{"key":"log","mappings":{"default":{"default":"log"}},"category":"Logarithm","names":["log"]},{"key":"ln","mappings":{"default":{"default":"logarithme népérien"}},"category":"Logarithm","names":["ln"]},{"key":"lg","names":["lg"],"mappings":{"default":{"default":"logarithme décimal"}},"category":"Logarithm"},{"key":"exp","names":["exp","expt"],"mappings":{"default":{"default":"exponentielle"}},"category":"Elementary"},{"key":"gcd","names":["gcd","PGCD","pgcd"],"mappings":{"default":{"default":"plus grand commun diviseur"},"mathspeak":{"default":"pgcd"},"clearspeak":{"default":"pgcd"}},"category":"Elementary"},{"key":"lcm","names":["lcm","ppcm","PPCM","PPMC","ppmc"],"mappings":{"default":{"default":"plus petit commun multiple"},"mathspeak":{"default":"ppcm"},"clearspeak":{"default":"ppcm"}},"category":"Elementary"},{"key":"arg","names":["arg"],"mappings":{"default":{"default":"argument"}},"category":"Complex"},{"key":"im","names":["im"],"mappings":{"default":{"default":"partie imaginaire"}},"category":"Complex"},{"key":"re","names":["re"],"mappings":{"default":{"default":"partie réelle"}},"category":"Complex"},{"key":"inf","names":["inf"],"mappings":{"default":{"default":"borne inférieure"}},"category":"Limits"},{"key":"lim","mappings":{"default":{"default":"limite"}},"category":"Limits","names":["lim"]},{"key":"max","names":["max"],"mappings":{"default":{"default":"maximum"}},"category":"Limits"},{"key":"min","names":["min"],"mappings":{"default":{"default":"minimum"}},"category":"Limits"},{"key":"sup","names":["sup"],"mappings":{"default":{"default":"borne supérieure"}},"category":"Limits"},{"key":"lim inf","names":["lim inf","liminf"],"mappings":{"default":{"default":"limite inferior"}},"category":"Limits"},{"key":"lim sup","names":["lim sup","limsup"],"mappings":{"default":{"default":"limite superior"}},"category":"Limits"},{"key":"injlim","names":["injlim","inj lim"],"mappings":{"default":{"default":"limite inductive"}},"category":"Limits"},{"key":"projlim","names":["projlim","proj lim"],"mappings":{"default":{"default":"limite projective"}},"category":"Limits"},{"key":"mod","names":["mod"],"mappings":{"default":{"default":"modulo"}},"category":"Elementary"},{"key":"Pr","names":["Pr"],"mappings":{"default":{"default":"probabilité"}},"category":"Probability"}]
+,
+"fr/functions/hyperbolic.js": 
+[{"locale":"fr"},{"key":"cosh","mappings":{"default":{"default":"cosinus hyperbolique"}},"category":"Hyperbolic","names":["cosh"]},{"key":"coth","mappings":{"default":{"default":"cotangente hyperbolique"}},"category":"Hyperbolic","names":["coth"]},{"key":"csch","mappings":{"default":{"default":"cosécante hyperbolique"}},"category":"Hyperbolic","names":["csch"]},{"key":"sech","mappings":{"default":{"default":"sécante hyperbolique"}},"category":"Hyperbolic","names":["sech"]},{"key":"sinh","mappings":{"default":{"default":"sinus hyperbolique"}},"category":"Hyperbolic","names":["sinh"]},{"key":"tanh","mappings":{"default":{"default":"tangente hyperbolique"}},"category":"Hyperbolic","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"argument cosinus hyperbolique"}},"key":"arcosh","names":["arcosh","arccosh","argch"]},{"category":"Area","mappings":{"default":{"default":"argument cotangente hyperbolique"}},"key":"arcoth","names":["arcoth","arccoth","argcoth"]},{"category":"Area","mappings":{"default":{"default":"argument cosécante hyperbolique"}},"key":"arcsch","names":["arcsch","arccsch","argcsch"]},{"category":"Area","mappings":{"default":{"default":"argument sécante hyperbolique"}},"key":"arsech","names":["arsech","arcsech","argsech"]},{"category":"Area","mappings":{"default":{"default":"argument sinus hyperbolique"}},"key":"arsinh","names":["arsinh","arcsinh","argsh"]},{"category":"Area","mappings":{"default":{"default":"argument tangente hyperbolique"}},"key":"artanh","names":["artanh","arctanh","argth"]}]
+,
+"fr/functions/trigonometry.js": 
+[{"locale":"fr"},{"key":"cos","mappings":{"default":{"default":"cosinus"}},"category":"Trigonometric","names":["cos","cosine"]},{"key":"cot","mappings":{"default":{"default":"cotangente"}},"category":"Trigonometric","names":["cot"]},{"key":"csc","mappings":{"default":{"default":"cosécante"}},"category":"Trigonometric","names":["csc"]},{"key":"sec","mappings":{"default":{"default":"sécante"}},"category":"Trigonometric","names":["sec"]},{"key":"sin","mappings":{"default":{"default":"sinus"}},"category":"Trigonometric","names":["sin","sine"]},{"key":"tan","mappings":{"default":{"default":"tangente"}},"category":"Trigonometric","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosinus"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cotangente"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosécante"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc sécante"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc sinus"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc tangente"}},"key":"arctan","names":["arctan"]}]
+,
+"fr/symbols/digits_rest.js": 
+[{"locale":"fr"},{"key":"00B2","mappings":{"default":{"default":"au carré"},"mathspeak":{"default":"au carré"},"clearspeak":{"default":"au carré"}},"category":"No"},{"key":"00B3","mappings":{"default":{"default":"cubique"},"mathspeak":{"default":"cubique"},"clearspeak":{"default":"cubique"}},"category":"No"},{"key":"00BC","mappings":{"default":{"default":"un quart"}},"category":"No"},{"key":"00BD","mappings":{"default":{"default":"un demi"}},"category":"No"},{"key":"00BE","mappings":{"default":{"default":"trois quarts"}},"category":"No"},{"key":"2150","mappings":{"default":{"default":"un septième"}},"category":"No"},{"key":"2151","mappings":{"default":{"default":"un neuvième"}},"category":"No"},{"key":"2152","mappings":{"default":{"default":"un dixième"}},"category":"No"},{"key":"2153","mappings":{"default":{"default":"un tiers"}},"category":"No"},{"key":"2154","mappings":{"default":{"default":"deux tiers"}},"category":"No"},{"key":"2155","mappings":{"default":{"default":"un cinquième"}},"category":"No"},{"key":"2156","mappings":{"default":{"default":"deux cinquièmes"}},"category":"No"},{"key":"2157","mappings":{"default":{"default":"trois cinquièmes"}},"category":"No"},{"key":"2158","mappings":{"default":{"default":"quatre cinquièmes"}},"category":"No"},{"key":"2159","mappings":{"default":{"default":"un sixième"}},"category":"No"},{"key":"215A","mappings":{"default":{"default":"cinq sixièmes"}},"category":"No"},{"key":"215B","mappings":{"default":{"default":"un huitième"}},"category":"No"},{"key":"215C","mappings":{"default":{"default":"trois huitièmes"}},"category":"No"},{"key":"215D","mappings":{"default":{"default":"cinq huitièmes"}},"category":"No"},{"key":"215E","mappings":{"default":{"default":"sept huitièmes"}},"category":"No"},{"key":"215F","mappings":{"default":{"default":"numérateur un"}},"category":"No"},{"key":"2189","mappings":{"default":{"default":"zero tiers"}},"category":"No"},{"key":"3248","mappings":{"default":{"default":"dix cerclé sur carré noir"}},"category":"No"},{"key":"3249","mappings":{"default":{"default":"vingt cerclé sur carré noir"}},"category":"No"},{"key":"324A","mappings":{"default":{"default":"trente cerclé sur carré noir"}},"category":"No"},{"key":"324B","mappings":{"default":{"default":"quarante cerclé sur carré noir"}},"category":"No"},{"key":"324C","mappings":{"default":{"default":"cinquante cerclé sur carré noir"}},"category":"No"},{"key":"324D","mappings":{"default":{"default":"soixante cerclé sur carré noir"}},"category":"No"},{"key":"324E","mappings":{"default":{"default":"soixante dix cerclé sur carré noir"}},"category":"No"},{"key":"324F","mappings":{"default":{"default":"quatre vingts cerclé sur carré noir"}},"category":"No"}]
+,
+"fr/symbols/greek-rest.js": 
+[{"locale":"fr"},{"category":"Lu","key":"0394","mappings":{"clearspeak":{"default":"triangle","TriangleSymbol_Delta":"Delta majuscule"}}}]
+,
+"fr/symbols/greek-scripts.js": 
+[{"locale":"fr"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"petite gamma majuscule"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"petite lambda majuscule"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"petite pi majuscule"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"petite rhô majuscule"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"petite psi majuscule"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"gamma suscript"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"phi suscript"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"bêta souscrit"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"gamma souscrit"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"rhô souscrit"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"phi souscrit"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"khi souscrit"}}}]
+,
+"fr/symbols/greek-symbols.js": 
+[{"locale":"fr"},{"key":"03D0","mappings":{"default":{"default":"bêta grec"}},"category":"Ll"},{"key":"03D7","mappings":{"default":{"default":"ligature kai"}},"category":"Ll"},{"key":"03F6","mappings":{"default":{"default":"epsilon lunaire réfléchi"}},"category":"Sm"},{"category":"Lu","key":"1D7CA","mappings":{"default":{"default":"Digamma en gras"}}},{"category":"Ll","key":"1D7CB","mappings":{"default":{"default":"digamma en gras"}}}]
+,
+"fr/symbols/hebrew_letters.js": 
+[{"locale":"fr"},{"key":"2135","mappings":{"default":{"default":"alef"}},"category":"Lo"},{"key":"2136","mappings":{"default":{"default":"bèt"}},"category":"Lo"},{"key":"2137","mappings":{"default":{"default":"guimel"}},"category":"Lo"},{"key":"2138","mappings":{"default":{"default":"dalèt"}},"category":"Lo"}]
+,
+"fr/symbols/latin-lower-double-accent.js": 
+[{"locale":"fr"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u trémaa et macron"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u trémaa et accent aigu"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u trémaa et caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u trémaa et accent grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a trémaa et macron"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a point en chef et macron"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o ogonek et macron"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a rond en chef et accent aigu"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o tréma et macron"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o tilde et macron"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o point en chef et macron"}}},{"key":"1E09","mappings":{"default":{"default":"c cédille et accent aigu"}},"category":"Ll"},{"key":"1E15","mappings":{"default":{"default":"e macron et accent grave"}},"category":"Ll"},{"key":"1E17","mappings":{"default":{"default":"e macron et accent aigu"}},"category":"Ll"},{"key":"1E1D","mappings":{"default":{"default":"e cédille et brève"}},"category":"Ll"},{"key":"1E2F","mappings":{"default":{"default":"i tréma et accent aigu"}},"category":"Ll"},{"key":"1E39","mappings":{"default":{"default":"l point souscrit et macron"}},"category":"Ll"},{"key":"1E4D","mappings":{"default":{"default":"o tilde et accent aigu"}},"category":"Ll"},{"key":"1E4F","mappings":{"default":{"default":"o tilde et tréma"}},"category":"Ll"},{"key":"1E51","mappings":{"default":{"default":"o macron et accent grave"}},"category":"Ll"},{"key":"1E53","mappings":{"default":{"default":"o macron et accent aigu"}},"category":"Ll"},{"key":"1E5D","mappings":{"default":{"default":"r point souscrit et macron"}},"category":"Ll"},{"key":"1E65","mappings":{"default":{"default":"s accent aigu et point en chef"}},"category":"Ll"},{"key":"1E67","mappings":{"default":{"default":"s caron et point en chef"}},"category":"Ll"},{"key":"1E69","mappings":{"default":{"default":"s point souscrit et point en chef"}},"category":"Ll"},{"key":"1E79","mappings":{"default":{"default":"u tilde et accent aigu"}},"category":"Ll"},{"key":"1E7B","mappings":{"default":{"default":"u macron et tréma"}},"category":"Ll"},{"key":"1EA5","mappings":{"default":{"default":"a accent circonflexe et accent aigu"}},"category":"Ll"},{"key":"1EA7","mappings":{"default":{"default":"a accent circonflexe et accent grave"}},"category":"Ll"},{"key":"1EA9","mappings":{"default":{"default":"a accent circonflexe et crochet en chef"}},"category":"Ll"},{"key":"1EAB","mappings":{"default":{"default":"a accent circonflexe et tilde"}},"category":"Ll"},{"key":"1EAD","mappings":{"default":{"default":"a accent circonflexe et point souscrit"}},"category":"Ll"},{"key":"1EAF","mappings":{"default":{"default":"a brève et accent aigu"}},"category":"Ll"},{"key":"1EB1","mappings":{"default":{"default":"a brève et accent grave"}},"category":"Ll"},{"key":"1EB3","mappings":{"default":{"default":"a brève et crochet en chef"}},"category":"Ll"},{"key":"1EB5","mappings":{"default":{"default":"a brève et tilde"}},"category":"Ll"},{"key":"1EB7","mappings":{"default":{"default":"a brève et point souscrit"}},"category":"Ll"},{"key":"1EBF","mappings":{"default":{"default":"e accent circonflexe et accent aigu"}},"category":"Ll"},{"key":"1EC1","mappings":{"default":{"default":"e accent circonflexe et accent grave"}},"category":"Ll"},{"key":"1EC3","mappings":{"default":{"default":"e accent circonflexe et crochet en chef"}},"category":"Ll"},{"key":"1EC5","mappings":{"default":{"default":"e accent circonflexe et tilde"}},"category":"Ll"},{"key":"1EC7","mappings":{"default":{"default":"e accent circonflexe et point souscrit"}},"category":"Ll"},{"key":"1ED1","mappings":{"default":{"default":"o accent circonflexe et accent aigu"}},"category":"Ll"},{"key":"1ED3","mappings":{"default":{"default":"o accent circonflexe et accent grave"}},"category":"Ll"},{"key":"1ED5","mappings":{"default":{"default":"o accent circonflexe et crochet en chef"}},"category":"Ll"},{"key":"1ED7","mappings":{"default":{"default":"o accent circonflexe et tilde"}},"category":"Ll"},{"key":"1ED9","mappings":{"default":{"default":"o accent circonflexe et point souscrit"}},"category":"Ll"},{"key":"1EDB","mappings":{"default":{"default":"o cornu accent aigu"}},"category":"Ll"},{"key":"1EDD","mappings":{"default":{"default":"o cornu accent grave"}},"category":"Ll"},{"key":"1EDF","mappings":{"default":{"default":"o cornu crochet en chef"}},"category":"Ll"},{"key":"1EE1","mappings":{"default":{"default":"o cornu tilde"}},"category":"Ll"},{"key":"1EE3","mappings":{"default":{"default":"o cornu point souscrit"}},"category":"Ll"},{"key":"1EE9","mappings":{"default":{"default":"u cornu accent aigu"}},"category":"Ll"},{"key":"1EEB","mappings":{"default":{"default":"u cornu accent grave"}},"category":"Ll"},{"key":"1EED","mappings":{"default":{"default":"u cornu crochet en chef"}},"category":"Ll"},{"key":"1EEF","mappings":{"default":{"default":"u cornu tilde"}},"category":"Ll"},{"key":"1EF1","mappings":{"default":{"default":"u cornu point souscrit"}},"category":"Ll"}]
+,
+"fr/symbols/latin-lower-phonetic.js": 
+[{"locale":"fr"},{"key":"00F8","mappings":{"default":{"default":"o barré"}},"category":"Ll"},{"key":"0111","mappings":{"default":{"default":"d barré"}},"category":"Ll"},{"key":"0127","mappings":{"default":{"default":"h barré"}},"category":"Ll"},{"key":"0142","mappings":{"default":{"default":"l barré"}},"category":"Ll"},{"key":"0167","mappings":{"default":{"default":"t barré"}},"category":"Ll"},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b barré"}}},{"key":"019B","mappings":{"default":{"default":"lambda barré"}},"category":"Ll"},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z barré"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"coup de glotte barré culbuté"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g barré"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o barré accent aigu"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c barré"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"e barré"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j barré"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"r barré"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y barré"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"j sans point barré"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i barré"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"j sans point barré crosse"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"coup de glotte barré"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"coup de glotte barré réfléchi"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"o couché barré obliquement"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota barré"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p barré"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon barré"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"s long à barre diagonale"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"s long à barre haute"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"delta culbutée"}}},{"key":"1E9B","mappings":{"default":{"default":"s long point en chef"}},"category":"Ll"},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta"}}},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"category":"Ll","key":"017F","mappings":{"default":{"default":"s long"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b potence"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"sixiéme ton"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c crosse"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d potence"}}},{"key":"0192","mappings":{"default":{"default":"f cursif"}},"category":"Ll"},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv (Hwair)"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k crosse"}}},{"key":"019A","mappings":{"default":{"default":"l rayé"}},"category":"Ll"},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n à long jambage de droite"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o cornu"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"gha"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p crosse"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"deuxiéme ton"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"ech réfléchi bouclé"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t hameçon palatal"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t crosse"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u cornu"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y crosse"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"ej réfléchi"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ej hameçon"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"cinquiéme tun"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ej caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lej"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ej"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"ej bouclé"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"digramme Dej"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"e culbuté"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae accent aigu (ash)"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d bouclé"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z crochet"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l bouclé"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n bouclé"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t bouclé"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"Ligature minuscule latine Db"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"Ligature minuscule latine Qp"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s à paraphe"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z à paraphe"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"coup de glotte"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q avec hameçon"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"a culbuté"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"alpha culbuté"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b crosse"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"o ouvert"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c bouclé"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d hameçon rétroflexe"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d crosse"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"e réfléchi"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"schwa crochet"}}},{"key":"025B","mappings":{"default":{"default":"e ouvert"}},"category":"Ll"},{"category":"Ll","key":"025C","mappings":{"default":{"default":"epsilon réfléchi"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"epsilon réfléchi crochet"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"epsilon réfléchi fermé"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g crosse"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"g cursif"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"petit gamma"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"h culbuté"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h crosse"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"eng crosse"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l tilde médian"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l sanglé"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"l hameçon rétroflexe"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"m culbuté"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"m hampé culbuté"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m hameçon"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n hameçon à gauche"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n hameçon rétroflexe"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"o barré"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"oméga fermé"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"r culbuté"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"r prolongé culbuté"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"r crosse culbuté"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"r prolongé"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"r hameçon rétroflexe"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"r sans obit"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"r sans obit réfléchi"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"s hameçon rétroflexe"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"ech"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"r sans obit réfléchi hameçon rétroflexe"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"ech bouclé"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"t culbuté"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"t hameçon rétroflexe"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"u barré"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"v de ronde"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"v culbuté"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"w culbuté"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"y culbuté"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"z hameçon rétroflexe"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z bouclé"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"coup de glotte réfléchi"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"coup de glotte culbuté"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"C étiré"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"clic bilabial"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"epsilon fermé"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"k culbuté"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q crosse"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"digramme Dz"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"digramme Dz bouclé"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"digramme Ts"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"digramme Tech"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"digramme Tc bouclé"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"digramme Feng"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"digramme Ls"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"digramme Lz"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"percussion bilabiale"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"percussion bidentale"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"h culbuté crosse réfléchie"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"h culbuté crosse réfléchie et hameçon rétroflexe"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"ae culbuté"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"epsilon culbuté"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"i culbuté"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"o couché"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"o ouvert couché"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"oe culbuté"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"moitié supérieure de o"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"moitié inférieure de o"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"u couché"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"u tréma couché"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"m couché"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"fricative pharyngale voisée"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"aïn"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"b tilde médian"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"d tilde médian"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"f tilde médian"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"m tilde médian"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"n tilde médian"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"p tilde médian"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"r tilde médian"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"r sans obit tilde médian"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"s tilde médian"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"t tilde médian"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z tilde médian"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"g culbuté"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"g insulaire"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th barré diagonalement"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"b hameçon palatal"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"d hameçon palatal"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"f hameçon palatal"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"g hameçon palatal"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"k hameçon palatal"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"l hameçon palatal"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"m hameçon palatal"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"n hameçon palatal"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"p hameçon palatal"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"r hameçon palatal"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"s hameçon palatal"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"ech hameçon palatal"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"v hameçon palatal"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"x hameçon palatal"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"z hameçon palatal"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a hameçon rétroflexe"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"alpha hameçon rétroflexe"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"d crosse et hameçon rétroflexe"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"e hameçon rétroflexe"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"epsilon hameçon rétroflexe"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"epsilon réfléchi hameçon rétroflexe"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"schwa hameçon rétroflexe"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"i hameçon rétroflexe"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"o ouvert hameçon rétroflexe"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"ech hameçon rétroflexe"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"u hameçon rétroflexe"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"ej hameçon rétroflexe"}}},{"key":"0149","mappings":{"default":{"default":"n précédée d'une apostrophe"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
+,
+"fr/symbols/latin-lower-single-accent.js": 
+[{"locale":"fr"},{"key":"00E0","mappings":{"default":{"default":"a accent grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a accent aigu"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a accent circonflexe"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a tréma"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a rond en chef"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c cédille"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e accent grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e accent aigu"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e accent circonflexe"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e tréma"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i accent grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i accent aigu"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i accent circonflexe"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i tréma"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"n tilde"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o accent grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o accent aigu"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o accent circonflexe"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o tréma"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u accent grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u accent aigu"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u accent circonflexe"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u tréma"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"y accent aigu"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y tréma"}},"category":"Ll"},{"key":"0101","mappings":{"default":{"default":"a macron"}},"category":"Ll"},{"key":"0103","mappings":{"default":{"default":"a brève"}},"category":"Ll"},{"key":"0105","mappings":{"default":{"default":"a ogonek"}},"category":"Ll"},{"key":"0107","mappings":{"default":{"default":"c accent aigu"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c accent circonflexe"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c point en chef"}},"category":"Ll"},{"key":"010D","mappings":{"default":{"default":"c caron"}},"category":"Ll"},{"key":"010F","mappings":{"default":{"default":"d caron"}},"category":"Ll"},{"key":"0113","mappings":{"default":{"default":"e macron"}},"category":"Ll"},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e brève"}}},{"key":"0117","mappings":{"default":{"default":"e point en chef"}},"category":"Ll"},{"key":"0119","mappings":{"default":{"default":"e ogonek"}},"category":"Ll"},{"key":"011B","mappings":{"default":{"default":"e caron"}},"category":"Ll"},{"key":"011D","mappings":{"default":{"default":"g accent circonflexe"}},"category":"Ll"},{"key":"011F","mappings":{"default":{"default":"g brève"}},"category":"Ll"},{"key":"0121","mappings":{"default":{"default":"g point en chef"}},"category":"Ll"},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g cédille"}}},{"key":"0125","mappings":{"default":{"default":"h accent circonflexe"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i tilde"}},"category":"Ll"},{"key":"012B","mappings":{"default":{"default":"i macron"}},"category":"Ll"},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i brève"}}},{"key":"012F","mappings":{"default":{"default":"i ogonek"}},"category":"Ll"},{"key":"0131","mappings":{"default":{"default":"i sans point"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j accent circonflexe"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k cédille"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l accent aigu"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l cédille"}},"category":"Ll"},{"key":"013E","mappings":{"default":{"default":"l caron"}},"category":"Ll"},{"key":"0140","mappings":{"default":{"default":"l point médian"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n accent aigu"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n cédille"}},"category":"Ll"},{"key":"0148","mappings":{"default":{"default":"n caron"}},"category":"Ll"},{"key":"014D","mappings":{"default":{"default":"o macron"}},"category":"Ll"},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o brève"}}},{"key":"0151","mappings":{"default":{"default":"o avec double accent aigu"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r accent aigu"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r cédille"}},"category":"Ll"},{"key":"0159","mappings":{"default":{"default":"r caron"}},"category":"Ll"},{"key":"015B","mappings":{"default":{"default":"s accent aigu"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s accent circonflexe"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s cédille"}},"category":"Ll"},{"key":"0161","mappings":{"default":{"default":"s caron"}},"category":"Ll"},{"key":"0163","mappings":{"default":{"default":"t cédille"}},"category":"Ll"},{"key":"0165","mappings":{"default":{"default":"t caron"}},"category":"Ll"},{"key":"0169","mappings":{"default":{"default":"u tilde"}},"category":"Ll"},{"key":"016B","mappings":{"default":{"default":"u macron"}},"category":"Ll"},{"key":"016D","mappings":{"default":{"default":"u brève"}},"category":"Ll"},{"key":"016F","mappings":{"default":{"default":"u rond en chef"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u avec double accent aigu"}},"category":"Ll"},{"key":"0173","mappings":{"default":{"default":"u ogonek"}},"category":"Ll"},{"key":"0175","mappings":{"default":{"default":"w accent circonflexe"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y accent circonflexe"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z accent aigu"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z point en chef"}},"category":"Ll"},{"key":"017E","mappings":{"default":{"default":"z caron"}},"category":"Ll"},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j caron"}}},{"key":"01F5","mappings":{"default":{"default":"g accent aigu"}},"category":"Ll"},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a double accent grave"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a brève renversée"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e double accent grave"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e brève renversée"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i double accent grave"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i brève renversée"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o double accent grave"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o brève renversée"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r double accent grave"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r brève renversée"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u double accent grave"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u brève renversée"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s virgule souscrite *"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t virgule souscrite *"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"a point en chef"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e cédille"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o point en chef"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y macron"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"j sans point"}}},{"key":"1E01","mappings":{"default":{"default":"a à rond souscrit"}},"category":"Ll"},{"key":"1E03","mappings":{"default":{"default":"b point en chef"}},"category":"Ll"},{"key":"1E05","mappings":{"default":{"default":"b point souscrit"}},"category":"Ll"},{"key":"1E07","mappings":{"default":{"default":"b ligne souscrite"}},"category":"Ll"},{"key":"1E0B","mappings":{"default":{"default":"d point en chef"}},"category":"Ll"},{"key":"1E0D","mappings":{"default":{"default":"d point souscrit"}},"category":"Ll"},{"key":"1E0F","mappings":{"default":{"default":"d ligne souscrite"}},"category":"Ll"},{"key":"1E11","mappings":{"default":{"default":"d cédille"}},"category":"Ll"},{"key":"1E13","mappings":{"default":{"default":"d accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E19","mappings":{"default":{"default":"e accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E1B","mappings":{"default":{"default":"e tilde souscrit"}},"category":"Ll"},{"key":"1E1F","mappings":{"default":{"default":"f point en chef"}},"category":"Ll"},{"key":"1E21","mappings":{"default":{"default":"g macron"}},"category":"Ll"},{"key":"1E23","mappings":{"default":{"default":"h point en chef"}},"category":"Ll"},{"key":"1E25","mappings":{"default":{"default":"h point souscrit"}},"category":"Ll"},{"key":"1E27","mappings":{"default":{"default":"h tréma"}},"category":"Ll"},{"key":"1E29","mappings":{"default":{"default":"h cédille"}},"category":"Ll"},{"key":"1E2B","mappings":{"default":{"default":"h brève souscrit"}},"category":"Ll"},{"key":"1E2D","mappings":{"default":{"default":"i tilde souscrit"}},"category":"Ll"},{"key":"1E31","mappings":{"default":{"default":"k accent aigu"}},"category":"Ll"},{"key":"1E33","mappings":{"default":{"default":"k point souscrit"}},"category":"Ll"},{"key":"1E35","mappings":{"default":{"default":"k ligne souscrite"}},"category":"Ll"},{"key":"1E37","mappings":{"default":{"default":"l point souscrit"}},"category":"Ll"},{"key":"1E3B","mappings":{"default":{"default":"l ligne souscrite"}},"category":"Ll"},{"key":"1E3D","mappings":{"default":{"default":"l accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E3F","mappings":{"default":{"default":"m accent aigu"}},"category":"Ll"},{"key":"1E41","mappings":{"default":{"default":"m point en chef"}},"category":"Ll"},{"key":"1E43","mappings":{"default":{"default":"m point souscrit"}},"category":"Ll"},{"key":"1E45","mappings":{"default":{"default":"n point en chef"}},"category":"Ll"},{"key":"1E47","mappings":{"default":{"default":"n point souscrit"}},"category":"Ll"},{"key":"1E49","mappings":{"default":{"default":"n ligne souscrite"}},"category":"Ll"},{"key":"1E4B","mappings":{"default":{"default":"n accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E55","mappings":{"default":{"default":"p accent aigu"}},"category":"Ll"},{"key":"1E57","mappings":{"default":{"default":"p point en chef"}},"category":"Ll"},{"key":"1E59","mappings":{"default":{"default":"r point en chef"}},"category":"Ll"},{"key":"1E5B","mappings":{"default":{"default":"r point souscrit"}},"category":"Ll"},{"key":"1E5F","mappings":{"default":{"default":"r ligne souscrite"}},"category":"Ll"},{"key":"1E61","mappings":{"default":{"default":"s point en chef"}},"category":"Ll"},{"key":"1E63","mappings":{"default":{"default":"s point souscrit"}},"category":"Ll"},{"key":"1E6B","mappings":{"default":{"default":"t point en chef"}},"category":"Ll"},{"key":"1E6D","mappings":{"default":{"default":"t point souscrit"}},"category":"Ll"},{"key":"1E6F","mappings":{"default":{"default":"t ligne souscrite"}},"category":"Ll"},{"key":"1E71","mappings":{"default":{"default":"t accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E73","mappings":{"default":{"default":"u tréma souscrit"}},"category":"Ll"},{"key":"1E75","mappings":{"default":{"default":"u tilde souscrit"}},"category":"Ll"},{"key":"1E77","mappings":{"default":{"default":"u accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E7D","mappings":{"default":{"default":"v tilde"}},"category":"Ll"},{"key":"1E7F","mappings":{"default":{"default":"v point souscrit"}},"category":"Ll"},{"key":"1E81","mappings":{"default":{"default":"w accent grave"}},"category":"Ll"},{"key":"1E83","mappings":{"default":{"default":"w accent aigu"}},"category":"Ll"},{"key":"1E85","mappings":{"default":{"default":"w tréma"}},"category":"Ll"},{"key":"1E87","mappings":{"default":{"default":"w point en chef"}},"category":"Ll"},{"key":"1E89","mappings":{"default":{"default":"w point souscrit"}},"category":"Ll"},{"key":"1E8B","mappings":{"default":{"default":"x point en chef"}},"category":"Ll"},{"key":"1E8D","mappings":{"default":{"default":"x tréma"}},"category":"Ll"},{"key":"1E8F","mappings":{"default":{"default":"y point en chef"}},"category":"Ll"},{"key":"1E91","mappings":{"default":{"default":"z accent circonflexe"}},"category":"Ll"},{"key":"1E93","mappings":{"default":{"default":"z point souscrit"}},"category":"Ll"},{"key":"1E95","mappings":{"default":{"default":"z ligne souscrite"}},"category":"Ll"},{"key":"1E96","mappings":{"default":{"default":"h ligne souscrite"}},"category":"Ll"},{"key":"1E97","mappings":{"default":{"default":"t tréma"}},"category":"Ll"},{"key":"1E98","mappings":{"default":{"default":"w rond en chef"}},"category":"Ll"},{"key":"1E99","mappings":{"default":{"default":"y rond en chef"}},"category":"Ll"},{"key":"1E9A","mappings":{"default":{"default":"a demi rond à droite"}},"category":"Ll"},{"key":"1EA1","mappings":{"default":{"default":"a point souscrit"}},"category":"Ll"},{"key":"1EA3","mappings":{"default":{"default":"a crochet en chef"}},"category":"Ll"},{"key":"1EB9","mappings":{"default":{"default":"e point souscrit"}},"category":"Ll"},{"key":"1EBB","mappings":{"default":{"default":"e crochet en chef"}},"category":"Ll"},{"key":"1EBD","mappings":{"default":{"default":"e tilde"}},"category":"Ll"},{"key":"1EC9","mappings":{"default":{"default":"i crochet en chef"}},"category":"Ll"},{"key":"1ECB","mappings":{"default":{"default":"i point souscrit"}},"category":"Ll"},{"key":"1ECD","mappings":{"default":{"default":"o point souscrit"}},"category":"Ll"},{"key":"1ECF","mappings":{"default":{"default":"o crochet en chef"}},"category":"Ll"},{"key":"1EE5","mappings":{"default":{"default":"u point souscrit"}},"category":"Ll"},{"key":"1EE7","mappings":{"default":{"default":"u crochet en chef"}},"category":"Ll"},{"key":"1EF3","mappings":{"default":{"default":"y accent grave"}},"category":"Ll"},{"key":"1EF5","mappings":{"default":{"default":"y point souscrit"}},"category":"Ll"},{"key":"1EF7","mappings":{"default":{"default":"y crochet en chef"}},"category":"Ll"},{"key":"1EF9","mappings":{"default":{"default":"y tilde"}},"category":"Ll"}]
+,
+"fr/symbols/latin-rest.js": 
+[{"locale":"fr"},{"category":"Ll","key":"210E","mappings":{"default":{"default":"constante de planck"}}},{"category":"Mn","key":"0363","mappings":{"default":{"default":"diacritique a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"diacritique e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"diacritique i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"diacritique o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"diacritique u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"diacritique c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"diacritique d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"diacritique h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"diacritique m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"diacritique r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"diacritique t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"diacritique v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"diacritique x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"i souscrit"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"r souscrit"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"u souscrit"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"v souscrit"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"diacritique r souscrite"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"diacritique a ouvert aplati suscrit"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"diacritique ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"diacritique ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"diacritique av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"diacritique c cédille"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"diacritique d insulaire"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"diacritique eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"diacritique g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"diacritique petite g majuscule"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"diacritique k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"diacritique l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"diacritique petite l majuscule"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"diacritique petite m majuscule"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"diacritique n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"diacritique petite n majuscule"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"diacritique petite r majuscule"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"diacritique r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"diacritique s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"diacritique s long"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"diacritique z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"exposant i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"exposant n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"indice a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"indice e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"indice o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"indice x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"indice schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"souscrite h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"souscrite k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"souscrite l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"souscrite m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"souscrite n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"souscrite p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"souscrite s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"souscrite t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"j souscrite"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"s majuscule en écaille crochetée"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"c majuscule en italique cerclée"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"r majuscule en italique cerclée"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"P majuscule encadrée et en inversion avec croix"}}}]
+,
+"fr/symbols/latin-upper-double-accent.js": 
+[{"locale":"fr"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"U majuscule trémaa et macron"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"U majuscule trémaa et accent aigu"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"U majuscule trémaa et caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"U majuscule trémaa et accent grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"A majuscule trémaa et macron"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"A majuscule point en chef et macron"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"O majuscule ogonek et macron"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"A majuscule rond en chef et accent aigu"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"O majuscule tréma et macron"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"O majuscule tilde et macron"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"O majuscule point en chef et macron"}}},{"key":"1E08","mappings":{"default":{"default":"C cédille et accent aigu majuscule"}},"category":"Lu"},{"key":"1E14","mappings":{"default":{"default":"E macron et accent grave majuscule"}},"category":"Lu"},{"key":"1E16","mappings":{"default":{"default":"E macron et accent aigu majuscule"}},"category":"Lu"},{"key":"1E1C","mappings":{"default":{"default":"E cédille et brève majuscule"}},"category":"Lu"},{"key":"1E2E","mappings":{"default":{"default":"I tréma et accent aigu majuscule"}},"category":"Lu"},{"key":"1E38","mappings":{"default":{"default":"L point souscrit et macron majuscule"}},"category":"Lu"},{"key":"1E4C","mappings":{"default":{"default":"O tilde et accent aigu majuscule"}},"category":"Lu"},{"key":"1E4E","mappings":{"default":{"default":"O tilde et tréma majuscule"}},"category":"Lu"},{"key":"1E50","mappings":{"default":{"default":"O macron et accent grave majuscule"}},"category":"Lu"},{"key":"1E52","mappings":{"default":{"default":"O macron et accent aigu majuscule"}},"category":"Lu"},{"key":"1E5C","mappings":{"default":{"default":"R point souscrit et macron majuscule"}},"category":"Lu"},{"key":"1E64","mappings":{"default":{"default":"S accent aigu et point en chef majuscule"}},"category":"Lu"},{"key":"1E66","mappings":{"default":{"default":"S caron et point en chef majuscule"}},"category":"Lu"},{"key":"1E68","mappings":{"default":{"default":"S point souscrit et point en chef majuscule"}},"category":"Lu"},{"key":"1E78","mappings":{"default":{"default":"U tilde et accent aigu majuscule"}},"category":"Lu"},{"key":"1E7A","mappings":{"default":{"default":"U macron et tréma majuscule"}},"category":"Lu"},{"key":"1EA4","mappings":{"default":{"default":"A accent circonflexe et accent aigu majuscule"}},"category":"Lu"},{"key":"1EA6","mappings":{"default":{"default":"A accent circonflexe et accent grave majuscule"}},"category":"Lu"},{"key":"1EA8","mappings":{"default":{"default":"A accent circonflexe et crochet en chef majuscule"}},"category":"Lu"},{"key":"1EAA","mappings":{"default":{"default":"A accent circonflexe et tilde majuscule"}},"category":"Lu"},{"key":"1EAC","mappings":{"default":{"default":"A accent circonflexe et point souscrit majuscule"}},"category":"Lu"},{"key":"1EAE","mappings":{"default":{"default":"A brève et accent aigu majuscule"}},"category":"Lu"},{"key":"1EB0","mappings":{"default":{"default":"A brève et accent grave majuscule"}},"category":"Lu"},{"key":"1EB2","mappings":{"default":{"default":"A brève et crochet en chef majuscule"}},"category":"Lu"},{"key":"1EB4","mappings":{"default":{"default":"A brève et tilde majuscule"}},"category":"Lu"},{"key":"1EB6","mappings":{"default":{"default":"A brève et point souscrit majuscule"}},"category":"Lu"},{"key":"1EBE","mappings":{"default":{"default":"E accent circonflexe et accent aigu majuscule"}},"category":"Lu"},{"key":"1EC0","mappings":{"default":{"default":"E accent circonflexe et accent grave majuscule"}},"category":"Lu"},{"key":"1EC2","mappings":{"default":{"default":"E accent circonflexe et crochet en chef majuscule"}},"category":"Lu"},{"key":"1EC4","mappings":{"default":{"default":"E accent circonflexe et tilde majuscule"}},"category":"Lu"},{"key":"1EC6","mappings":{"default":{"default":"E accent circonflexe et point souscrit majuscule"}},"category":"Lu"},{"key":"1ED0","mappings":{"default":{"default":"O accent circonflexe et accent aigu majuscule"}},"category":"Lu"},{"key":"1ED2","mappings":{"default":{"default":"O accent circonflexe et accent grave majuscule"}},"category":"Lu"},{"key":"1ED4","mappings":{"default":{"default":"O accent circonflexe et crochet en chef majuscule"}},"category":"Lu"},{"key":"1ED6","mappings":{"default":{"default":"O accent circonflexe et tilde majuscule"}},"category":"Lu"},{"key":"1ED8","mappings":{"default":{"default":"O accent circonflexe et point souscrit majuscule"}},"category":"Lu"},{"key":"1EDA","mappings":{"default":{"default":"O cornu accent aigu majuscule"}},"category":"Lu"},{"key":"1EDC","mappings":{"default":{"default":"O cornu accent grave majuscule"}},"category":"Lu"},{"key":"1EDE","mappings":{"default":{"default":"O cornu crochet en chef majuscule"}},"category":"Lu"},{"key":"1EE0","mappings":{"default":{"default":"O cornu tilde majuscule"}},"category":"Lu"},{"key":"1EE2","mappings":{"default":{"default":"O cornu point souscrit majuscule"}},"category":"Lu"},{"key":"1EE8","mappings":{"default":{"default":"U cornu accent aigu majuscule"}},"category":"Lu"},{"key":"1EEA","mappings":{"default":{"default":"U cornu accent grave majuscule"}},"category":"Lu"},{"key":"1EEC","mappings":{"default":{"default":"U cornu crochet en chef majuscule"}},"category":"Lu"},{"key":"1EEE","mappings":{"default":{"default":"U cornu tilde majuscule"}},"category":"Lu"},{"key":"1EF0","mappings":{"default":{"default":"U cornu point souscrit majuscule"}},"category":"Lu"}]
+,
+"fr/symbols/latin-upper-single-accent.js": 
+[{"locale":"fr"},{"key":"00C0","mappings":{"default":{"default":"A accent grave majuscule"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"A accent aigu majuscule"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"A accent circonflexe majuscule"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"A tilde majuscule"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"A tréma majuscule"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"angstrom"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"C cédille majuscule"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"E accent grave majuscule"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"E accent aigu majuscule"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"E accent circonflexe majuscule"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"E tréma majuscule"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"I accent grave majuscule"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"I accent aigu majuscule"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"I accent circonflexe majuscule"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"I tréma majuscule"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"N tilde majuscule"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"O accent grave majuscule"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"O accent aigu majuscule"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"O accent circonflexe majuscule"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"O tilde majuscule"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"O tréma majuscule"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"U accent grave majuscule"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"U accent aigu majuscule"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"U accent circonflexe majuscule"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"U tréma majuscule"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"Y accent aigu majuscule"}},"category":"Lu"},{"key":"0100","mappings":{"default":{"default":"A macron majuscule"}},"category":"Lu"},{"key":"0102","mappings":{"default":{"default":"A brève majuscule"}},"category":"Lu"},{"key":"0104","mappings":{"default":{"default":"A ogonek majuscule"}},"category":"Lu"},{"key":"0106","mappings":{"default":{"default":"C accent aigu majuscule"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"C accent circonflexe majuscule"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"C point en chef majuscule"}},"category":"Lu"},{"key":"010C","mappings":{"default":{"default":"C caron majuscule"}},"category":"Lu"},{"key":"010E","mappings":{"default":{"default":"D caron majuscule"}},"category":"Lu"},{"key":"0112","mappings":{"default":{"default":"E macron majuscule"}},"category":"Lu"},{"category":"Lu","key":"0114","mappings":{"default":{"default":"E brève majuscule"}}},{"key":"0116","mappings":{"default":{"default":"E point en chef majuscule"}},"category":"Lu"},{"key":"0118","mappings":{"default":{"default":"E ogonek majuscule"}},"category":"Lu"},{"key":"011A","mappings":{"default":{"default":"E caron majuscule"}},"category":"Lu"},{"key":"011C","mappings":{"default":{"default":"G accent circonflexe majuscule"}},"category":"Lu"},{"key":"011E","mappings":{"default":{"default":"G brève majuscule"}},"category":"Lu"},{"key":"0120","mappings":{"default":{"default":"G point en chef majuscule"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"G cédille majuscule"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"H accent circonflexe majuscule"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"I tilde majuscule"}},"category":"Lu"},{"key":"012A","mappings":{"default":{"default":"I macron majuscule"}},"category":"Lu"},{"category":"Lu","key":"012C","mappings":{"default":{"default":"I brève majuscule"}}},{"key":"012E","mappings":{"default":{"default":"I ogonek majuscule"}},"category":"Lu"},{"key":"0130","mappings":{"default":{"default":"I point en chef majuscule"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"J accent circonflexe majuscule"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"K cédille majuscule"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"L accent aigu majuscule"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"L cédille majuscule"}},"category":"Lu"},{"key":"013D","mappings":{"default":{"default":"L caron majuscule"}},"category":"Lu"},{"key":"013F","mappings":{"default":{"default":"L point médian majuscule"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"N accent aigu majuscule"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"N cédille majuscule"}},"category":"Lu"},{"key":"0147","mappings":{"default":{"default":"N caron majuscule"}},"category":"Lu"},{"key":"014C","mappings":{"default":{"default":"O macron majuscule"}},"category":"Lu"},{"category":"Lu","key":"014E","mappings":{"default":{"default":"O brève majuscule"}}},{"key":"0150","mappings":{"default":{"default":"O avec double accent aigu majuscule"}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"R accent aigu majuscule"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"R cédille majuscule"}},"category":"Lu"},{"key":"0158","mappings":{"default":{"default":"R caron majuscule"}},"category":"Lu"},{"key":"015A","mappings":{"default":{"default":"S accent aigu majuscule"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"S accent circonflexe majuscule"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"S cédille majuscule"}},"category":"Lu"},{"key":"0160","mappings":{"default":{"default":"S caron majuscule"}},"category":"Lu"},{"key":"0162","mappings":{"default":{"default":"T cédille majuscule"}},"category":"Lu"},{"key":"0164","mappings":{"default":{"default":"T caron majuscule"}},"category":"Lu"},{"key":"0168","mappings":{"default":{"default":"U tilde majuscule"}},"category":"Lu"},{"key":"016A","mappings":{"default":{"default":"U macron majuscule"}},"category":"Lu"},{"key":"016C","mappings":{"default":{"default":"U brève majuscule"}},"category":"Lu"},{"key":"016E","mappings":{"default":{"default":"U rond en chef majuscule"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"U avec double accent aigu majuscule"}},"category":"Lu"},{"key":"0172","mappings":{"default":{"default":"U ogonek majuscule"}},"category":"Lu"},{"key":"0174","mappings":{"default":{"default":"W accent circonflexe majuscule"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"Y accent circonflexe majuscule"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"Y tréma majuscule"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"Z accent aigu majuscule"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"Z point en chef majuscule"}},"category":"Lu"},{"key":"017D","mappings":{"default":{"default":"Z caron majuscule"}},"category":"Lu"},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"A caron majuscule"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"I caron majuscule"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"O caron majuscule"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"U caron majuscule"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"G caron majuscule"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"K caron majuscule"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"O ogonek majuscule"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"G accent aigu majuscule"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"N grave majuscule"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"A double accent grave majuscule"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"A brève renversée majuscule"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"E double accent grave majuscule"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"E brève renversée majuscule"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"I double accent grave majuscule"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"I brève renversée majuscule"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"O double accent grave majuscule"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"O brève renversée majuscule"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"R double accent grave majuscule"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"R brève renversée majuscule"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"U double accent grave majuscule"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"U brève renversée majuscule"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"S virgule souscrite * majuscule"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"T virgule souscrite * majuscule"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"H caron majuscule"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"A point en chef majuscule"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"E cédille majuscule"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"O point en chef majuscule"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"Y macron majuscule"}}},{"key":"1E00","mappings":{"default":{"default":"A à rond souscrit majuscule"}},"category":"Lu"},{"key":"1E02","mappings":{"default":{"default":"B point en chef majuscule"}},"category":"Lu"},{"key":"1E04","mappings":{"default":{"default":"B point souscrit majuscule"}},"category":"Lu"},{"key":"1E06","mappings":{"default":{"default":"B ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E0A","mappings":{"default":{"default":"D point en chef majuscule"}},"category":"Lu"},{"key":"1E0C","mappings":{"default":{"default":"D point souscrit majuscule"}},"category":"Lu"},{"key":"1E0E","mappings":{"default":{"default":"D ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E10","mappings":{"default":{"default":"D cédille majuscule"}},"category":"Lu"},{"key":"1E12","mappings":{"default":{"default":"D accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E18","mappings":{"default":{"default":"E accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E1A","mappings":{"default":{"default":"E tilde souscrit majuscule"}},"category":"Lu"},{"key":"1E1E","mappings":{"default":{"default":"F point en chef majuscule"}},"category":"Lu"},{"key":"1E20","mappings":{"default":{"default":"G macron majuscule"}},"category":"Lu"},{"key":"1E22","mappings":{"default":{"default":"H point en chef majuscule"}},"category":"Lu"},{"key":"1E24","mappings":{"default":{"default":"H point souscrit majuscule"}},"category":"Lu"},{"key":"1E26","mappings":{"default":{"default":"H tréma majuscule"}},"category":"Lu"},{"key":"1E28","mappings":{"default":{"default":"H cédille majuscule"}},"category":"Lu"},{"key":"1E2A","mappings":{"default":{"default":"H brève souscrit majuscule"}},"category":"Lu"},{"key":"1E2C","mappings":{"default":{"default":"I tilde souscrit majuscule"}},"category":"Lu"},{"key":"1E30","mappings":{"default":{"default":"K accent aigu majuscule"}},"category":"Lu"},{"key":"1E32","mappings":{"default":{"default":"K point souscrit majuscule"}},"category":"Lu"},{"key":"1E34","mappings":{"default":{"default":"K ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E36","mappings":{"default":{"default":"L point souscrit majuscule"}},"category":"Lu"},{"key":"1E3A","mappings":{"default":{"default":"L ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E3C","mappings":{"default":{"default":"L accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E3E","mappings":{"default":{"default":"M accent aigu majuscule"}},"category":"Lu"},{"key":"1E40","mappings":{"default":{"default":"M point en chef majuscule"}},"category":"Lu"},{"key":"1E42","mappings":{"default":{"default":"M point souscrit majuscule"}},"category":"Lu"},{"key":"1E44","mappings":{"default":{"default":"N point en chef majuscule"}},"category":"Lu"},{"key":"1E46","mappings":{"default":{"default":"N point souscrit majuscule"}},"category":"Lu"},{"key":"1E48","mappings":{"default":{"default":"N ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E4A","mappings":{"default":{"default":"N accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E54","mappings":{"default":{"default":"P accent aigu majuscule"}},"category":"Lu"},{"key":"1E56","mappings":{"default":{"default":"P point en chef majuscule"}},"category":"Lu"},{"key":"1E58","mappings":{"default":{"default":"R point en chef majuscule"}},"category":"Lu"},{"key":"1E5A","mappings":{"default":{"default":"R point souscrit majuscule"}},"category":"Lu"},{"key":"1E5E","mappings":{"default":{"default":"R ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E60","mappings":{"default":{"default":"S point en chef majuscule"}},"category":"Lu"},{"key":"1E62","mappings":{"default":{"default":"S point souscrit majuscule"}},"category":"Lu"},{"key":"1E6A","mappings":{"default":{"default":"T point en chef majuscule"}},"category":"Lu"},{"key":"1E6C","mappings":{"default":{"default":"T point souscrit majuscule"}},"category":"Lu"},{"key":"1E6E","mappings":{"default":{"default":"T ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E70","mappings":{"default":{"default":"T accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E72","mappings":{"default":{"default":"U tréma souscrit majuscule"}},"category":"Lu"},{"key":"1E74","mappings":{"default":{"default":"U tilde souscrit majuscule"}},"category":"Lu"},{"key":"1E76","mappings":{"default":{"default":"U accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E7C","mappings":{"default":{"default":"V tilde majuscule"}},"category":"Lu"},{"key":"1E7E","mappings":{"default":{"default":"V point souscrit majuscule"}},"category":"Lu"},{"key":"1E80","mappings":{"default":{"default":"W accent grave majuscule"}},"category":"Lu"},{"key":"1E82","mappings":{"default":{"default":"W accent aigu majuscule"}},"category":"Lu"},{"key":"1E84","mappings":{"default":{"default":"W tréma majuscule"}},"category":"Lu"},{"key":"1E86","mappings":{"default":{"default":"W point en chef majuscule"}},"category":"Lu"},{"key":"1E88","mappings":{"default":{"default":"W point souscrit majuscule"}},"category":"Lu"},{"key":"1E8A","mappings":{"default":{"default":"X point en chef majuscule"}},"category":"Lu"},{"key":"1E8C","mappings":{"default":{"default":"X tréma majuscule"}},"category":"Lu"},{"key":"1E8E","mappings":{"default":{"default":"Y point en chef majuscule"}},"category":"Lu"},{"key":"1E90","mappings":{"default":{"default":"Z accent circonflexe majuscule"}},"category":"Lu"},{"key":"1E92","mappings":{"default":{"default":"Z point souscrit majuscule"}},"category":"Lu"},{"key":"1E94","mappings":{"default":{"default":"Z ligne souscrite majuscule"}},"category":"Lu"},{"key":"1EA0","mappings":{"default":{"default":"A point souscrit majuscule"}},"category":"Lu"},{"key":"1EA2","mappings":{"default":{"default":"A crochet en chef majuscule"}},"category":"Lu"},{"key":"1EB8","mappings":{"default":{"default":"E point souscrit majuscule"}},"category":"Lu"},{"key":"1EBA","mappings":{"default":{"default":"E crochet en chef majuscule"}},"category":"Lu"},{"key":"1EBC","mappings":{"default":{"default":"E tilde majuscule"}},"category":"Lu"},{"key":"1EC8","mappings":{"default":{"default":"I crochet en chef majuscule"}},"category":"Lu"},{"key":"1ECA","mappings":{"default":{"default":"I point souscrit majuscule"}},"category":"Lu"},{"key":"1ECC","mappings":{"default":{"default":"O point souscrit majuscule"}},"category":"Lu"},{"key":"1ECE","mappings":{"default":{"default":"O crochet en chef majuscule"}},"category":"Lu"},{"key":"1EE4","mappings":{"default":{"default":"U point souscrit majuscule"}},"category":"Lu"},{"key":"1EE6","mappings":{"default":{"default":"U crochet en chef majuscule"}},"category":"Lu"},{"key":"1EF2","mappings":{"default":{"default":"Y accent grave majuscule"}},"category":"Lu"},{"key":"1EF4","mappings":{"default":{"default":"Y point souscrit majuscule"}},"category":"Lu"},{"key":"1EF6","mappings":{"default":{"default":"Y crochet en chef majuscule"}},"category":"Lu"},{"key":"1EF8","mappings":{"default":{"default":"Y tilde majuscule"}},"category":"Lu"}]
+,
+"fr/symbols/math_angles.js": 
+[{"locale":"fr"},{"key":"22BE","mappings":{"default":{"default":"angle droit avec arc"}},"category":"Sm"},{"key":"237C","mappings":{"default":{"default":"angle droit avec flèche en zigzag vers le bas"}},"category":"Sm"},{"key":"27C0","mappings":{"default":{"default":"angle tridimensionnel"}},"category":"Sm"},{"category":"Sm","key":"299B","mappings":{"default":{"default":"angle mesuré s'ouvrant vers la gauche"}}},{"category":"Sm","key":"299C","mappings":{"default":{"default":"variante d'angle avec carré"}}},{"key":"299D","mappings":{"default":{"default":"angle droit mesuré pointé"}},"category":"Sm"},{"category":"Sm","key":"299E","mappings":{"default":{"default":"angle avec s inscrit"}}},{"category":"Sm","key":"299F","mappings":{"default":{"default":"angle aigu"}}},{"category":"Sm","key":"29A0","mappings":{"default":{"default":"angle sphérique s'ouvrant vers la gauche"}}},{"category":"Sm","key":"29A1","mappings":{"default":{"default":"angle sphérique s'ouvrant vers le haut"}}},{"category":"Sm","key":"29A2","mappings":{"default":{"default":"angle culbuté"}}},{"category":"Sm","key":"29A3","mappings":{"default":{"default":"angle réfléchi"}}},{"key":"29A4","mappings":{"default":{"default":"angle à barre souscrite"}},"category":"Sm"},{"key":"29A5","mappings":{"default":{"default":"angle à barre souscrite réfléchie"}},"category":"Sm"},{"key":"29A6","mappings":{"default":{"default":"angle oblique s'ouvrant vers le haut"}},"category":"Sm"},{"key":"29A7","mappings":{"default":{"default":"angle oblique s'ouvrant vers le bas"}},"category":"Sm"},{"key":"29A8","mappings":{"default":{"default":"angle calculé à bras vers l'est et bras fléché vers le nord est"}},"category":"Sm"},{"key":"29A9","mappings":{"default":{"default":"angle calculé à bras vers l'ouest et bras fléché vers le nord ouest"}},"category":"Sm"},{"key":"29AA","mappings":{"default":{"default":"angle calculé à bras vers l'est et bras fléché vers le sud est"}},"category":"Sm"},{"key":"29AB","mappings":{"default":{"default":"angle calculé à bras vers l'ouest et bras fléché vers le sud ouest"}},"category":"Sm"},{"key":"29AC","mappings":{"default":{"default":"angle calculé à bras vers le nord et bras fléché vers le nord est"}},"category":"Sm"},{"key":"29AD","mappings":{"default":{"default":"angle calculé à bras vers le nord et bras fléché vers le nord ouest"}},"category":"Sm"},{"key":"29AE","mappings":{"default":{"default":"angle calculé à bras vers le sud et bras fléché vers le sud est"}},"category":"Sm"},{"key":"29AF","mappings":{"default":{"default":"angle calculé à bras vers le sud et bras fléché vers le sud ouest"}},"category":"Sm"}]
+,
+"fr/symbols/math_arrows.js": 
+[{"locale":"fr"},{"key":"2190","mappings":{"default":{"default":"flèche gauche"}},"category":"Sm"},{"key":"2191","mappings":{"default":{"default":"flèche vers le haut"}},"category":"Sm"},{"key":"2192","mappings":{"default":{"default":"flèche droite"}},"category":"Sm"},{"key":"2193","mappings":{"default":{"default":"flèche vers le bas"}},"category":"Sm"},{"key":"2194","mappings":{"default":{"default":"flèche bilatérale"}},"category":"Sm"},{"key":"2195","mappings":{"default":{"default":"flèche haut et bas"}},"category":"So"},{"key":"2196","mappings":{"default":{"default":"flèche nord ouest"}},"category":"So"},{"key":"2197","mappings":{"default":{"default":"flèche nord est"}},"category":"So"},{"key":"2198","mappings":{"default":{"default":"flèche sud est"}},"category":"So"},{"key":"2199","mappings":{"default":{"default":"flèche sud ouest"}},"category":"So"},{"key":"219A","mappings":{"default":{"default":"flèche barrée gauche"}},"category":"Sm"},{"key":"219B","mappings":{"default":{"default":"flèche barrée droite"}},"category":"Sm"},{"key":"219C","mappings":{"default":{"default":"flèche ondulée gauche"}},"category":"So"},{"key":"219D","mappings":{"default":{"default":"flèche ondulée droite"}},"category":"So"},{"key":"219E","mappings":{"default":{"default":"flèche à deux pointes gauche"}},"category":"So"},{"key":"219F","mappings":{"default":{"default":"flèche à deux pointes vers le haut"}},"category":"So"},{"key":"21A0","mappings":{"default":{"default":"flèche à deux pointes droite"}},"category":"Sm"},{"key":"21A1","mappings":{"default":{"default":"flèche à deux pointes vers le bas"}},"category":"So"},{"key":"21A2","mappings":{"default":{"default":"flèche empennée gauche"}},"category":"So"},{"key":"21A3","mappings":{"default":{"default":"flèche empennée droite"}},"category":"Sm"},{"key":"21A4","mappings":{"default":{"default":"flèche d'un taquet gauche"}},"category":"So"},{"key":"21A5","mappings":{"default":{"default":"flèche d'un taquet vers le haut"}},"category":"So"},{"key":"21A6","mappings":{"default":{"default":"flèche d'un taquet droite"}},"category":"Sm"},{"key":"21A7","mappings":{"default":{"default":"flèche d'un taquet vers le bas"}},"category":"So"},{"key":"21A8","mappings":{"default":{"default":"flèche haut bas sur base"}},"category":"So"},{"key":"21A9","mappings":{"default":{"default":"flèche avec crochet gauche"}},"category":"So"},{"key":"21AA","mappings":{"default":{"default":"flèche avec crochet droite"}},"category":"So"},{"key":"21AB","mappings":{"default":{"default":"flèche avec boucle gauche"}},"category":"So"},{"key":"21AC","mappings":{"default":{"default":"flèche avec boucle droite"}},"category":"So"},{"key":"21AD","mappings":{"default":{"default":"flèche ondulée bilatérale"}},"category":"So"},{"key":"21AE","mappings":{"default":{"default":"flèche barrée bilatérale"}},"category":"Sm"},{"key":"21AF","mappings":{"default":{"default":"flèche vers le bas en zigzag"}},"category":"So"},{"key":"21B0","mappings":{"default":{"default":"flèche vers le haut avec pointe gauche"}},"category":"So"},{"key":"21B1","mappings":{"default":{"default":"flèche vers le haut avec pointe droite"}},"category":"So"},{"key":"21B2","mappings":{"default":{"default":"flèche vers le bas avec pointe gauche"}},"category":"So"},{"key":"21B3","mappings":{"default":{"default":"flèche vers le bas avec pointe droite"}},"category":"So"},{"key":"21B4","mappings":{"default":{"default":"flèche vers le bas avec coin droit"}},"category":"So"},{"key":"21B5","mappings":{"default":{"default":"flèche vers le bas avec coin gauche"}},"category":"So"},{"key":"21B6","mappings":{"default":{"default":"flèche semi circulaire en sens positif"}},"category":"So"},{"key":"21B7","mappings":{"default":{"default":"flèche semi circulaire en sens négatif"}},"category":"So"},{"key":"21B8","mappings":{"default":{"default":"flèche nord ouest vers une barre horizontale longue"}},"category":"So"},{"key":"21B9","mappings":{"default":{"default":"flèche gauche vers un taquet sur flèche droite vers un taquet"}},"category":"So"},{"key":"21BA","mappings":{"default":{"default":"flèche en sens positif à cercle ouvert"}},"category":"So"},{"key":"21BB","mappings":{"default":{"default":"flèche en sens négatif à cercle ouvert"}},"category":"So"},{"key":"21C4","mappings":{"default":{"default":"flèche vers le haut par dessus flèche gauche"}},"category":"So"},{"key":"21C5","mappings":{"default":{"default":"flèche vers le haut à gauche d'une flèche vers le bas"}},"category":"So"},{"key":"21C6","mappings":{"default":{"default":"flèche gauche par dessus flèche droite"}},"category":"So"},{"key":"21C7","mappings":{"default":{"default":"paire de flèches gauche"}},"category":"So"},{"key":"21C8","mappings":{"default":{"default":"paire de flèches vers le haut"}},"category":"So"},{"key":"21C9","mappings":{"default":{"default":"paire de flèches droite"}},"category":"So"},{"key":"21CA","mappings":{"default":{"default":"paire de flèches vers le bas"}},"category":"So"},{"key":"21CD","mappings":{"default":{"default":"double flèche barrée gauche"}},"category":"So"},{"key":"21CE","mappings":{"default":{"default":"double flèche barrée bilatérale"}},"category":"Sm"},{"key":"21CF","mappings":{"default":{"default":"double flèche barrée droite"}},"category":"Sm"},{"key":"21D0","mappings":{"default":{"default":"double flèche gauche"}},"category":"So"},{"key":"21D1","mappings":{"default":{"default":"double flèche vers le haut"}},"category":"So"},{"key":"21D2","mappings":{"default":{"default":"double flèche droite"}},"category":"Sm"},{"key":"21D3","mappings":{"default":{"default":"double flèche vers le bas"}},"category":"So"},{"key":"21D4","mappings":{"default":{"default":"double flèche bilatérale"}},"category":"Sm"},{"key":"21D5","mappings":{"default":{"default":"double flèche haut bas"}},"category":"So"},{"key":"21D6","mappings":{"default":{"default":"double flèche nord ouest"}},"category":"So"},{"key":"21D7","mappings":{"default":{"default":"double flèche nord est"}},"category":"So"},{"key":"21D8","mappings":{"default":{"default":"double flèche sud est"}},"category":"So"},{"key":"21D9","mappings":{"default":{"default":"double flèche sud ouest"}},"category":"So"},{"key":"21DA","mappings":{"default":{"default":"triple flèche gauche"}},"category":"So"},{"key":"21DB","mappings":{"default":{"default":"triple flèche droite"}},"category":"So"},{"key":"21DC","mappings":{"default":{"default":"flèche en tire bouchon gauche"}},"category":"So"},{"key":"21DD","mappings":{"default":{"default":"flèche en tire bouchon droite"}},"category":"So"},{"key":"21DE","mappings":{"default":{"default":"flèche vers le haut avec double barre"}},"category":"So"},{"key":"21DF","mappings":{"default":{"default":"flèche vers le bas avec double barre"}},"category":"So"},{"key":"21E0","mappings":{"default":{"default":"flèche pointillée gauche"}},"category":"So"},{"key":"21E1","mappings":{"default":{"default":"flèche pointillée vers le haut"}},"category":"So"},{"key":"21E2","mappings":{"default":{"default":"flèche pointillée droite"}},"category":"So"},{"key":"21E3","mappings":{"default":{"default":"flèche pointillée vers le bas"}},"category":"So"},{"key":"21E4","mappings":{"default":{"default":"flèche gauche vers un taquet"}},"category":"So"},{"key":"21E5","mappings":{"default":{"default":"flèche droite vers un taquet"}},"category":"So"},{"key":"21E6","mappings":{"default":{"default":"flèche blanche gauche"}},"category":"So"},{"key":"21E7","mappings":{"default":{"default":"flèche blanche vers le haut"}},"category":"So"},{"key":"21E8","mappings":{"default":{"default":"flèche blanche droite"}},"category":"So"},{"key":"21E9","mappings":{"default":{"default":"flèche blanche vers le bas"}},"category":"So"},{"key":"21EA","mappings":{"default":{"default":"flèche blanche vers le haut à partir d'un taquet"}},"category":"So"},{"category":"So","key":"21EB","mappings":{"default":{"default":"flèche blanche vers le haut sur socle"}}},{"category":"So","key":"21EC","mappings":{"default":{"default":"flèche blanche vers le haut sur socle et trait horizontal"}}},{"category":"So","key":"21ED","mappings":{"default":{"default":"flèche blanche vers le haut sur socle et barre verticale"}}},{"category":"So","key":"21EE","mappings":{"default":{"default":"double flèche blanche vers le haut"}}},{"category":"So","key":"21EF","mappings":{"default":{"default":"double flèche blanche vers le haut sur socle"}}},{"category":"So","key":"21F0","mappings":{"default":{"default":"flèche blanche vers la droite appuyée sur mur"}}},{"category":"So","key":"21F1","mappings":{"default":{"default":"flèche nord ouest en encoignure"}}},{"category":"So","key":"21F2","mappings":{"default":{"default":"flèche sud est en encoignure"}}},{"category":"So","key":"21F3","mappings":{"default":{"default":"flèche blanche vers le haut et le bas"}}},{"category":"Sm","key":"21F4","mappings":{"default":{"default":"flèche vers la droite à petit cercle"}}},{"key":"21F5","mappings":{"default":{"default":"flèche descendante à gauche d'une flèche montante"}},"category":"Sm"},{"category":"Sm","key":"21F6","mappings":{"default":{"default":"trois flèches vers la droite"}}},{"category":"Sm","key":"21F7","mappings":{"default":{"default":"flèche vers la gauche barrée verticalement"}}},{"category":"Sm","key":"21F8","mappings":{"default":{"default":"flèche vers la droite barrée verticalement"}}},{"category":"Sm","key":"21F9","mappings":{"default":{"default":"flèche vers la droite et la gauche barrée verticalement"}}},{"category":"Sm","key":"21FA","mappings":{"default":{"default":"flèche vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"21FB","mappings":{"default":{"default":"flèche vers la droite barrée deux fois verticalement"}}},{"category":"Sm","key":"21FC","mappings":{"default":{"default":"flèche bilatérale barrée deux fois verticalement"}}},{"key":"21FD","mappings":{"default":{"default":"flèche à tête creuse gauche"}},"category":"Sm"},{"key":"21FE","mappings":{"default":{"default":"flèche à tête creuse droite"}},"category":"Sm"},{"key":"21FF","mappings":{"default":{"default":"flèche à tête creuse bilatérale"}},"category":"Sm"},{"category":"So","key":"2301","mappings":{"default":{"default":"flèche électrique"}}},{"category":"So","key":"2303","mappings":{"default":{"default":"pointe de flèche vers le haut"}}},{"category":"So","key":"2304","mappings":{"default":{"default":"pointe de flèche vers le bas"}}},{"category":"So","key":"2324","mappings":{"default":{"default":"pointe de flèche vers le haut entre deux traits horizontaux"}}},{"category":"So","key":"238B","mappings":{"default":{"default":"cercle brisé à flèche nord ouest (échappement)"}}},{"category":"So","key":"2794","mappings":{"default":{"default":"flèche grasse vers la droite à pointe large"}}},{"category":"So","key":"2798","mappings":{"default":{"default":"flèche grasse sud est"}}},{"category":"So","key":"2799","mappings":{"default":{"default":"flèche grasse vers la droite grasse"}}},{"category":"So","key":"279A","mappings":{"default":{"default":"flèche grasse nord est"}}},{"category":"So","key":"279B","mappings":{"default":{"default":"flèche de traçage vers la droite"}}},{"category":"So","key":"279C","mappings":{"default":{"default":"flèche grasse à pointe arrondie vers la droite"}}},{"category":"So","key":"279D","mappings":{"default":{"default":"flèche à pointe en triangle vers la droite"}}},{"category":"So","key":"279E","mappings":{"default":{"default":"flèche grasse à pointe en triangle vers la droite"}}},{"category":"So","key":"279F","mappings":{"default":{"default":"flèche avec pointillés à pointe en triangle vers la droite"}}},{"category":"So","key":"27A0","mappings":{"default":{"default":"flèche grasse avec pointillés à pointe en triangle vers la droite"}}},{"category":"So","key":"27A1","mappings":{"default":{"default":"flèche noire vers la droite"}}},{"category":"So","key":"27A2","mappings":{"default":{"default":"pointe de flèche vers la droite en trompe l'œil éclairée par le haut"}}},{"category":"So","key":"27A3","mappings":{"default":{"default":"pointe de flèche vers la droite en trompe l'œil éclairée par le bas"}}},{"category":"So","key":"27A4","mappings":{"default":{"default":"pointe de flèche noire vers la droite"}}},{"category":"So","key":"27A5","mappings":{"default":{"default":"flèche noire grasse courbée vers le bas et vers la droite"}}},{"category":"So","key":"27A6","mappings":{"default":{"default":"flèche noire courbée vers le haut et vers la droite"}}},{"category":"So","key":"27A7","mappings":{"default":{"default":"flèche noire trapue vers la droite"}}},{"category":"So","key":"27A8","mappings":{"default":{"default":"flèche noire grasse à pointe concave vers la droite"}}},{"category":"So","key":"27A9","mappings":{"default":{"default":"flèche blanche vers la droite ombrée à l'avant"}}},{"category":"So","key":"27AA","mappings":{"default":{"default":"flèche blanche vers la droite ombrée à l'arrière"}}},{"category":"So","key":"27AB","mappings":{"default":{"default":"flèche blanche vers la droite penchée vers l'arrière et ombrée"}}},{"category":"So","key":"27AC","mappings":{"default":{"default":"flèche blanche vers la droite penchée vers l'avant et ombrée"}}},{"category":"So","key":"27AD","mappings":{"default":{"default":"flèche blanche grasse vers la droite à ombre inférieure droite"}}},{"category":"So","key":"27AE","mappings":{"default":{"default":"flèche blanche grasse vers la droite à ombre supérieure droite"}}},{"category":"So","key":"27AF","mappings":{"default":{"default":"flèche encochée blanche vers la droite ombrée à l'avant et par dessous"}}},{"category":"So","key":"27B1","mappings":{"default":{"default":"flèche encochée blanche vers la droite ombrée à l'avant et par dessus"}}},{"category":"So","key":"27B2","mappings":{"default":{"default":"flèche blanche grasse vers la droite à contour circulaire"}}},{"category":"So","key":"27B3","mappings":{"default":{"default":"flèche empennée blanche vers la droite"}}},{"category":"So","key":"27B4","mappings":{"default":{"default":"flèche empennée noir sud est"}}},{"category":"So","key":"27B5","mappings":{"default":{"default":"flèche empennée noir vers la droite"}}},{"category":"So","key":"27B6","mappings":{"default":{"default":"flèche empennée noir nord est"}}},{"category":"So","key":"27B7","mappings":{"default":{"default":"flèche empennée gras noire sud est"}}},{"category":"So","key":"27B8","mappings":{"default":{"default":"flèche empennée gras noire vers la droite"}}},{"category":"So","key":"27B9","mappings":{"default":{"default":"flèche empennée gras noire nord est"}}},{"category":"So","key":"27BA","mappings":{"default":{"default":"flèche vers la droite à pointe larmée"}}},{"category":"So","key":"27BB","mappings":{"default":{"default":"flèche vers la droite à hampe larmée"}}},{"category":"So","key":"27BC","mappings":{"default":{"default":"flèche vers la droite à queue en forme de coin"}}},{"category":"So","key":"27BD","mappings":{"default":{"default":"flèche grasse vers la droite à queue en forme de coin"}}},{"category":"So","key":"27BE","mappings":{"default":{"default":"flèche vers la droite à contour ouvert"}}},{"category":"Sm","key":"27F0","mappings":{"default":{"default":"quadruple flèche vers le haut"}}},{"category":"Sm","key":"27F1","mappings":{"default":{"default":"quadruple flèche vers le bas"}}},{"category":"Sm","key":"27F2","mappings":{"default":{"default":"flèche sens antihoraire entrouverte"}}},{"category":"Sm","key":"27F3","mappings":{"default":{"default":"flèche sens horaire entrouverte"}}},{"category":"Sm","key":"27F4","mappings":{"default":{"default":"flèche vers la droite à signe plus cerclé"}}},{"key":"27F5","mappings":{"default":{"default":"longue flèche gauche"}},"category":"Sm"},{"key":"27F6","mappings":{"default":{"default":"longue flèche droite"}},"category":"Sm"},{"key":"27F7","mappings":{"default":{"default":"longue flèche bilatérale"}},"category":"Sm"},{"key":"27F8","mappings":{"default":{"default":"longue double flèche gauche"}},"category":"Sm"},{"key":"27F9","mappings":{"default":{"default":"longue double flèche droite"}},"category":"Sm"},{"key":"27FA","mappings":{"default":{"default":"longue double flèche bilatérale"}},"category":"Sm"},{"category":"Sm","key":"27FB","mappings":{"default":{"default":"longue flèche d'un taquet vers la gauche"}}},{"key":"27FC","mappings":{"default":{"default":"longue flèche d'un taquet droite"}},"category":"Sm"},{"category":"Sm","key":"27FD","mappings":{"default":{"default":"longue double flèche d'un taquet vers la gauche"}}},{"category":"Sm","key":"27FE","mappings":{"default":{"default":"longue double flèche d'un taquet vers la droite"}}},{"key":"27FF","mappings":{"default":{"default":"longue flèche en tire bouchon droite"}},"category":"Sm"},{"category":"Sm","key":"2900","mappings":{"default":{"default":"flèche à deux pointes vers la droite barrée verticalement"}}},{"category":"Sm","key":"2901","mappings":{"default":{"default":"flèche à deux pointes vers la droite barrée deux fois verticalement"}}},{"category":"Sm","key":"2902","mappings":{"default":{"default":"double flèche vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2903","mappings":{"default":{"default":"double flèche vers la droite barrée verticalement"}}},{"category":"Sm","key":"2904","mappings":{"default":{"default":"flèche bilatérale double barrée verticalement"}}},{"key":"2905","mappings":{"default":{"default":"flèche à deux têtes d'un taquet droite"}},"category":"Sm"},{"category":"Sm","key":"2906","mappings":{"default":{"default":"double flèche d'un taquet vers la gauche"}}},{"category":"Sm","key":"2907","mappings":{"default":{"default":"double flèche d'un taquet vers la droite"}}},{"category":"Sm","key":"2908","mappings":{"default":{"default":"flèche vers le bas barrée horizontalement"}}},{"category":"Sm","key":"2909","mappings":{"default":{"default":"flèche vers le haut barrée horizontalement"}}},{"category":"Sm","key":"290A","mappings":{"default":{"default":"triple flèche vers le haut"}}},{"category":"Sm","key":"290B","mappings":{"default":{"default":"triple flèche vers le bas"}}},{"key":"290C","mappings":{"default":{"default":"flèche à deux traits gauche"}},"category":"Sm"},{"key":"290D","mappings":{"default":{"default":"flèche à deux traits droite"}},"category":"Sm"},{"key":"290E","mappings":{"default":{"default":"flèche à trois traits gauche"}},"category":"Sm"},{"key":"290F","mappings":{"default":{"default":"flèche à trois traits droite"}},"category":"Sm"},{"key":"2910","mappings":{"default":{"default":"flèche à trois traits et à deux têtes droite"}},"category":"Sm"},{"key":"2911","mappings":{"default":{"default":"flèche à fût pointillé droite"}},"category":"Sm"},{"key":"2912","mappings":{"default":{"default":"flèche jusqu'à taquet vers le haut"}},"category":"Sm"},{"key":"2913","mappings":{"default":{"default":"flèche jusqu'à taquet vers le bas"}},"category":"Sm"},{"category":"Sm","key":"2914","mappings":{"default":{"default":"flèche empennée vers la droite barrée verticalement"}}},{"category":"Sm","key":"2915","mappings":{"default":{"default":"flèche empennée vers la droite barrée deux fois verticalement"}}},{"key":"2916","mappings":{"default":{"default":"flèche empennée à deux têtes droite"}},"category":"Sm"},{"category":"Sm","key":"2917","mappings":{"default":{"default":"flèche empennée à deux têtes vers la droite barrée verticalement"}}},{"category":"Sm","key":"2918","mappings":{"default":{"default":"flèche empennée à deux têtes vers la droite barrée deux fois verticalement"}}},{"key":"2919","mappings":{"default":{"default":"empenne gauche"}},"category":"Sm"},{"category":"Sm","key":"291A","mappings":{"default":{"default":"empenne vers la droite"}}},{"key":"291B","mappings":{"default":{"default":"double empenne gauche"}},"category":"Sm"},{"key":"291C","mappings":{"default":{"default":"double empenne droite"}},"category":"Sm"},{"key":"291D","mappings":{"default":{"default":"flèche vers un losange noir à gauche"}},"category":"Sm"},{"key":"291E","mappings":{"default":{"default":"flèche vers un losange noir à droite"}},"category":"Sm"},{"key":"291F","mappings":{"default":{"default":"flèche d'un taquet vers un losange noir à gauche"}},"category":"Sm"},{"key":"2920","mappings":{"default":{"default":"flèche d'un taquet vers un losange noir à droite"}},"category":"Sm"},{"category":"Sm","key":"2921","mappings":{"default":{"default":"flèche nord ouest et sud est"}}},{"category":"Sm","key":"2922","mappings":{"default":{"default":"flèche nord est et sud ouest"}}},{"key":"2923","mappings":{"default":{"default":"flèche nord ouest à crochet"}},"category":"Sm"},{"key":"2924","mappings":{"default":{"default":"flèche nord est à crochet"}},"category":"Sm"},{"key":"2925","mappings":{"default":{"default":"flèche sud est à crochet"}},"category":"Sm"},{"key":"2926","mappings":{"default":{"default":"flèche sud ouest à crochet"}},"category":"Sm"},{"key":"2927","mappings":{"default":{"default":"flèches nord ouest et nord est"}},"category":"Sm"},{"key":"2928","mappings":{"default":{"default":"flèches nord est et sud est"}},"category":"Sm"},{"key":"2929","mappings":{"default":{"default":"flèches sud est et sud ouest"}},"category":"Sm"},{"key":"292A","mappings":{"default":{"default":"flèches sud ouest et nord ouest"}},"category":"Sm"},{"category":"Sm","key":"292D","mappings":{"default":{"default":"flèche sud est sur flèche nord est"}}},{"category":"Sm","key":"292E","mappings":{"default":{"default":"flèche nord est sur flèche sud est"}}},{"category":"Sm","key":"292F","mappings":{"default":{"default":"diagonale descendante sur flèche nord est"}}},{"category":"Sm","key":"2930","mappings":{"default":{"default":"diagonale montante sur flèche sud est"}}},{"category":"Sm","key":"2931","mappings":{"default":{"default":"flèche nord est sur flèche nord ouest"}}},{"category":"Sm","key":"2932","mappings":{"default":{"default":"flèche nord ouest sur flèche nord est"}}},{"key":"2933","mappings":{"default":{"default":"flèche bossue droite"}},"category":"Sm"},{"category":"Sm","key":"2934","mappings":{"default":{"default":"flèche courbe vers la droite puis le haut"}}},{"key":"2935","mappings":{"default":{"default":"flèche courbe vers la droite puis le bas"}},"category":"Sm"},{"key":"2936","mappings":{"default":{"default":"flèche courbe vers le bas puis la gauche"}},"category":"Sm"},{"key":"2937","mappings":{"default":{"default":"flèche courbe vers le bas puis la droite"}},"category":"Sm"},{"key":"2938","mappings":{"default":{"default":"côté droit d'arc fléché sens horaire"}},"category":"Sm"},{"key":"2939","mappings":{"default":{"default":"côté gauche d'arc fléché sens antihoraire"}},"category":"Sm"},{"category":"Sm","key":"293A","mappings":{"default":{"default":"arc supérieur fléché sens antihoraire"}}},{"category":"Sm","key":"293B","mappings":{"default":{"default":"arc inférieur fléché sens antihoraire"}}},{"key":"293C","mappings":{"default":{"default":"arc fléché sens horaire et signe moins souscrit"}},"category":"Sm"},{"key":"293D","mappings":{"default":{"default":"arc fléché sens antihoraire et signe plus souscrit"}},"category":"Sm"},{"category":"Sm","key":"293E","mappings":{"default":{"default":"demi cercle fléché inférieur droit sens horaire"}}},{"category":"Sm","key":"293F","mappings":{"default":{"default":"demi cercle fléché inférieur gauche sens antihoraire"}}},{"category":"Sm","key":"2940","mappings":{"default":{"default":"cercle fléché sens antihoraire"}}},{"category":"Sm","key":"2941","mappings":{"default":{"default":"cercle fléché sens horaire"}}},{"category":"Sm","key":"2942","mappings":{"default":{"default":"flèche vers la droite surmontant fléchette vers la gauche"}}},{"category":"Sm","key":"2943","mappings":{"default":{"default":"flèche vers la gauche surmontant fléchette vers la droite"}}},{"category":"Sm","key":"2944","mappings":{"default":{"default":"fléchette vers la droite surmontant flèche vers la gauche"}}},{"key":"2945","mappings":{"default":{"default":"flèche droite surmontant signe moins"}},"category":"Sm"},{"category":"Sm","key":"2946","mappings":{"default":{"default":"flèche vers la gauche surmontant signe plus"}}},{"category":"Sm","key":"2947","mappings":{"default":{"default":"flèche vers la droite au travers un x"}}},{"key":"2948","mappings":{"default":{"default":"petit cercle traversé d'une flèche bilatérale"}},"category":"Sm"},{"key":"2949","mappings":{"default":{"default":"petit cercle surmonté d'une flèche montante à deux têtes"}},"category":"Sm"},{"key":"2970","mappings":{"default":{"default":"flèche en épingle à cheveu droite"}},"category":"Sm"},{"key":"2971","mappings":{"default":{"default":"flèche droite surmontée d'un égal"}},"category":"Sm"},{"key":"2972","mappings":{"default":{"default":"flèche droite surmontée d'un tilde"}},"category":"Sm"},{"key":"2973","mappings":{"default":{"default":"tilde surmonté d'une flèche gauche"}},"category":"Sm"},{"key":"2974","mappings":{"default":{"default":"tilde surmonté d'une flèche droite"}},"category":"Sm"},{"key":"2975","mappings":{"default":{"default":"presque égal à surmonté d'une flèche droite"}},"category":"Sm"},{"key":"2976","mappings":{"default":{"default":"inférieur à surmonté d'une flèche gauche"}},"category":"Sm"},{"category":"Sm","key":"2977","mappings":{"default":{"default":"flèche vers la gauche à travers un inférieur à"}}},{"key":"2978","mappings":{"default":{"default":"flèche droite surmontée d'un supérieur à"}},"category":"Sm"},{"key":"2979","mappings":{"default":{"default":"flèche droite surmontée d'un sous ensemble de"}},"category":"Sm"},{"category":"Sm","key":"297A","mappings":{"default":{"default":"flèche vers la gauche au travers d'un sous ensemble de"}}},{"key":"297B","mappings":{"default":{"default":"flèche gauche surmontée d'un sur ensemble de"}},"category":"Sm"},{"key":"29B3","mappings":{"default":{"default":"ensemble vide flèche droite en chef"}},"category":"Sm"},{"key":"29B4","mappings":{"default":{"default":"ensemble vide flèche gauche en chef"}},"category":"Sm"},{"category":"Sm","key":"29BD","mappings":{"default":{"default":"cercle traversé d'une flèche montante"}}},{"category":"Sm","key":"29EA","mappings":{"default":{"default":"losange noir à flèche vers le bas"}}},{"category":"Sm","key":"29EC","mappings":{"default":{"default":"cercle blanc à flèche vers le bas"}}},{"category":"Sm","key":"29ED","mappings":{"default":{"default":"cercle noir à flèche vers le bas"}}},{"key":"2A17","mappings":{"default":{"default":"intégrale à crosse fléchée gauche"}},"category":"Sm"},{"category":"So","key":"2B00","mappings":{"default":{"default":"flèche blanche nord est"}}},{"category":"So","key":"2B01","mappings":{"default":{"default":"flèche blanche nord ouest"}}},{"category":"So","key":"2B02","mappings":{"default":{"default":"flèche blanche sud est"}}},{"category":"So","key":"2B03","mappings":{"default":{"default":"flèche blanche sud ouest"}}},{"category":"So","key":"2B04","mappings":{"default":{"default":"flèche blanche bilatérale"}}},{"category":"So","key":"2B05","mappings":{"default":{"default":"flèche noire vers la gauche"}}},{"category":"So","key":"2B06","mappings":{"default":{"default":"flèche noire vers le haut"}}},{"category":"So","key":"2B07","mappings":{"default":{"default":"flèche noire vers le bas"}}},{"category":"So","key":"2B08","mappings":{"default":{"default":"flèche noire nord est"}}},{"category":"So","key":"2B09","mappings":{"default":{"default":"flèche noire nord ouest"}}},{"category":"So","key":"2B0A","mappings":{"default":{"default":"flèche noire sud est"}}},{"category":"So","key":"2B0B","mappings":{"default":{"default":"flèche noire sud ouest"}}},{"category":"So","key":"2B0C","mappings":{"default":{"default":"flèche noire bilatérale"}}},{"category":"So","key":"2B0D","mappings":{"default":{"default":"flèche noire haut et bas"}}},{"category":"So","key":"2B0E","mappings":{"default":{"default":"flèche vers la droite à pointe pliée vers le bas"}}},{"category":"So","key":"2B0F","mappings":{"default":{"default":"flèche vers la droite à pointe pliée vers le haut"}}},{"category":"So","key":"2B10","mappings":{"default":{"default":"flèche vers la gauche à pointe pliée vers le bas"}}},{"category":"So","key":"2B11","mappings":{"default":{"default":"flèche vers la gauche à pointe pliée vers le haut"}}},{"category":"Sm","key":"2B30","mappings":{"default":{"default":"flèche vers la gauche à petit cercle"}}},{"category":"Sm","key":"2B31","mappings":{"default":{"default":"trois flèches vers la gauche"}}},{"category":"Sm","key":"2B32","mappings":{"default":{"default":"flèche vers la gauche à signe plus cerclé"}}},{"category":"Sm","key":"2B33","mappings":{"default":{"default":"longue flèche vers la gauche en tire bouchon"}}},{"category":"Sm","key":"2B34","mappings":{"default":{"default":"flèche à deux pointes vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2B35","mappings":{"default":{"default":"flèche à deux pointes vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"2B36","mappings":{"default":{"default":"flèche à deux têtes d'un taquet vers la gauche"}}},{"category":"Sm","key":"2B37","mappings":{"default":{"default":"flèche à trois traits et à deux têtes vers la gauche"}}},{"category":"Sm","key":"2B38","mappings":{"default":{"default":"flèche vers la gauche à fût pointillé"}}},{"category":"Sm","key":"2B39","mappings":{"default":{"default":"flèche empennée vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2B3A","mappings":{"default":{"default":"flèche empennée vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"2B3B","mappings":{"default":{"default":"flèche empennée à deux têtes vers la gauche"}}},{"category":"Sm","key":"2B3C","mappings":{"default":{"default":"flèche empennée à deux têtes vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2B3D","mappings":{"default":{"default":"flèche empennée à deux têtes vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"2B3E","mappings":{"default":{"default":"flèche vers la gauche au travers un x"}}},{"category":"Sm","key":"2B3F","mappings":{"default":{"default":"flèche vers la gauche bossue"}}},{"category":"Sm","key":"2B40","mappings":{"default":{"default":"flèche vers la gauche surmontée d'un égal"}}},{"category":"Sm","key":"2B41","mappings":{"default":{"default":"flèche vers la gauche surmontée d'un tilde"}}},{"category":"Sm","key":"2B42","mappings":{"default":{"default":"presque égal à réfléchi surmonté d'une flèche vers la gauche"}}},{"category":"Sm","key":"2B43","mappings":{"default":{"default":"flèche vers la droite à travers un inférieur à"}}},{"category":"Sm","key":"2B44","mappings":{"default":{"default":"flèche vers la droite au travers d'un sous ensemble de"}}},{"category":"So","key":"2B45","mappings":{"default":{"default":"quadruple flèche vers la gauche"}}},{"category":"So","key":"2B46","mappings":{"default":{"default":"quadruple flèche vers la droite"}}},{"category":"Sm","key":"2B47","mappings":{"default":{"default":"flèche vers la droite surmontée d'un opérateur tilde réfléchi"}}},{"category":"Sm","key":"2B48","mappings":{"default":{"default":"presque égal à réfléchi surmonté d'une flèche vers la droite"}}},{"category":"Sm","key":"2B49","mappings":{"default":{"default":"flèche vers la gauche surmontée de l'opérateur tilde"}}},{"category":"Sm","key":"2B4A","mappings":{"default":{"default":"flèche vers la gauche par dessus presque égal à"}}},{"category":"Sm","key":"2B4B","mappings":{"default":{"default":"tilde réfléchi surmonté d'une flèche vers la gauche"}}},{"category":"Sm","key":"2B4C","mappings":{"default":{"default":"ilde surmonté d'une flèche vers la droite"}}},{"category":"Sm","key":"FFE9","mappings":{"default":{"default":"flèche vers la gauche demi chasse"}}},{"category":"Sm","key":"FFEA","mappings":{"default":{"default":"flèche vers le haut demi chasse"}}},{"category":"Sm","key":"FFEB","mappings":{"default":{"default":"flèche vers la droite demi chasse"}}},{"category":"Sm","key":"FFEC","mappings":{"default":{"default":"flèche vers le bas demi chasse"}}}]
+,
+"fr/symbols/math_characters.js": 
+[{"locale":"fr"},{"key":"2113","mappings":{"default":{"default":"l minuscule en script"}},"category":"Ll"},{"key":"2118","mappings":{"default":{"default":"fonction elliptique de weierstrass"}},"category":"Sm"},{"category":"Ll","key":"213C","mappings":{"default":{"default":"pi ajouré"}}},{"category":"Ll","key":"213D","mappings":{"default":{"default":"gamma ajouré"}}},{"category":"Lu","key":"213E","mappings":{"default":{"default":"Gamma majuscule ajouré"}}},{"category":"Lu","key":"213F","mappings":{"default":{"default":"Pi majuscule ajouré"}}},{"category":"Sm","key":"2140","mappings":{"default":{"default":"sommation de la famille ajouré"}}},{"key":"2145","mappings":{"default":{"default":"D majuscule"}},"category":"Lu"},{"key":"2146","mappings":{"default":{"default":"d ajouré en italique"}},"category":"Ll"},{"key":"2147","mappings":{"default":{"default":"e ajouré en italique"}},"category":"Ll"},{"key":"2148","mappings":{"default":{"default":"i ajouré en italique"}},"category":"Ll"},{"category":"Ll","key":"2149","mappings":{"default":{"default":"j ajouré en italique"}}},{"key":"1D6A4","mappings":{"default":{"default":"dotless i"}},"category":"Ll"},{"key":"1D6A5","mappings":{"default":{"default":"dotless j"}},"category":"Ll"}]
+,
+"fr/symbols/math_delimiters.js": 
+[{"locale":"fr"},{"key":"0028","mappings":{"default":{"default":"parenthèse gauche","alternative":"parenthèse ouvrante"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"parenthèse droite","alternative":"parenthèse fermante"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"crochet gauche","alternative":"crochet ouvrant"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"crochet droit","alternative":"crochet fermant"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"accolade gauche","alternative":"accolade ouvrante"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"accolade droite","alternative":"accolade fermante"}},"category":"Pe"},{"category":"Ps","key":"2045","mappings":{"default":{"default":"crochet gauche avec pique"}}},{"category":"Pe","key":"2046","mappings":{"default":{"default":"crochet droit avec pique"}}},{"key":"2308","mappings":{"default":{"default":"plafond à gauche"}},"category":"Sm"},{"key":"2309","mappings":{"default":{"default":"plafond à droite"}},"category":"Sm"},{"key":"230A","mappings":{"default":{"default":"plancher à gauche"}},"category":"Sm"},{"key":"230B","mappings":{"default":{"default":"plancher à droite"}},"category":"Sm"},{"key":"230C","mappings":{"default":{"default":"repère sud est"}},"category":"So"},{"key":"230D","mappings":{"default":{"default":"repère sud ouest"}},"category":"So"},{"key":"230E","mappings":{"default":{"default":"repère nord est"}},"category":"So"},{"key":"230F","mappings":{"default":{"default":"repère nord ouest"}},"category":"So"},{"key":"231C","mappings":{"default":{"default":"coin nord ouest"}},"category":"So"},{"key":"231D","mappings":{"default":{"default":"coin nord est"}},"category":"So"},{"key":"231E","mappings":{"default":{"default":"coin sud ouest"}},"category":"So"},{"key":"231F","mappings":{"default":{"default":"coin sud est"}},"category":"So"},{"key":"2320","mappings":{"default":{"default":"moitié supérieure d'intégrale"}},"category":"Sm"},{"key":"2321","mappings":{"default":{"default":"moitié inférieure d'intégrale"}},"category":"Sm"},{"key":"2329","mappings":{"default":{"default":"chevron gauche"}},"category":"Ps"},{"key":"232A","mappings":{"default":{"default":"chevron droite"}},"category":"Pe"},{"category":"Sm","key":"239B","mappings":{"default":{"default":"arc supérieur de parenthèse gauche"}}},{"category":"Sm","key":"239C","mappings":{"default":{"default":"rallonge de parenthèse gauche"}}},{"category":"Sm","key":"239D","mappings":{"default":{"default":"arc inférieur de parenthèse gauche"}}},{"category":"Sm","key":"239E","mappings":{"default":{"default":"arc supérieur de parenthèse droite"}}},{"category":"Sm","key":"239F","mappings":{"default":{"default":"rallonge de parenthèse droite"}}},{"category":"Sm","key":"23A0","mappings":{"default":{"default":"arc inférieur de parenthèse droite"}}},{"category":"Sm","key":"23A1","mappings":{"default":{"default":"coin supérieur de crochet gauche"}}},{"category":"Sm","key":"23A2","mappings":{"default":{"default":"rallonge de crochet gauche"}}},{"category":"Sm","key":"23A3","mappings":{"default":{"default":"coin inférieur de crochet gauche"}}},{"category":"Sm","key":"23A4","mappings":{"default":{"default":"coin supérieur de crochet droit"}}},{"category":"Sm","key":"23A5","mappings":{"default":{"default":"rallonge de crochet droit"}}},{"category":"Sm","key":"23A6","mappings":{"default":{"default":"coin inférieur de crochet droit"}}},{"category":"Sm","key":"23A7","mappings":{"default":{"default":"arc supérieur d'accolade gauche"}}},{"category":"Sm","key":"23A8","mappings":{"default":{"default":"milieu d'accolade gauche"}}},{"category":"Sm","key":"23A9","mappings":{"default":{"default":"arc inférieur d'accolade gauche"}}},{"category":"Sm","key":"23AA","mappings":{"default":{"default":"rallonge d'accolade"}}},{"category":"Sm","key":"23AB","mappings":{"default":{"default":"arc supérieur d'accolade droite"}}},{"category":"Sm","key":"23AC","mappings":{"default":{"default":"milieu d'accolade droite"}}},{"category":"Sm","key":"23AD","mappings":{"default":{"default":"arc inférieur d'accolade droite"}}},{"category":"Sm","key":"23AE","mappings":{"default":{"default":"rallonge d'intégrale"}}},{"category":"Sm","key":"23AF","mappings":{"default":{"default":"rallonge de ligne horizontale"}}},{"key":"23B0","mappings":{"default":{"default":"moitié supérieure gauche ou inférieure droite d'accolade"}},"category":"Sm"},{"key":"23B1","mappings":{"default":{"default":"moitié supérieure droite ou inférieure gauche d'accolade"}},"category":"Sm"},{"category":"Sm","key":"23B2","mappings":{"default":{"default":"haut du signe de somme"}}},{"category":"Sm","key":"23B3","mappings":{"default":{"default":"bas du signe de somme"}}},{"key":"23B4","mappings":{"default":{"default":"crochet vertical supérieur"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"crochet vertical inférieur"}},"category":"So"},{"category":"So","key":"23B6","mappings":{"default":{"default":"crochet verticaux en défilé"}}},{"category":"So","key":"23B7","mappings":{"default":{"default":"bas du radical"}}},{"category":"So","key":"23B8","mappings":{"default":{"default":"filet vertical gauche"}}},{"category":"So","key":"23B9","mappings":{"default":{"default":"filet vertical droit"}}},{"key":"23DC","mappings":{"default":{"default":"parenthèse supérieure"}},"category":"Sm"},{"key":"23DD","mappings":{"default":{"default":"parenthèse inférieure"}},"category":"Sm"},{"key":"23DE","mappings":{"default":{"default":"accolade supérieure"}},"category":"Sm"},{"key":"23DF","mappings":{"default":{"default":"accolade inférieure"}},"category":"Sm"},{"key":"23E0","mappings":{"default":{"default":"crochet en écaille supérieur"}},"category":"Sm"},{"key":"23E1","mappings":{"default":{"default":"crochet en écaille inférieur"}},"category":"Sm"},{"category":"Ps","key":"2768","mappings":{"default":{"default":"parenthèse de fantaisie gauche demi grasse"}}},{"category":"Pe","key":"2769","mappings":{"default":{"default":"parenthèse de fantaisie droite demi grasse"}}},{"category":"Ps","key":"276A","mappings":{"default":{"default":"parenthèse de fantaisie gauche demi grasse aplatie"}}},{"category":"Pe","key":"276B","mappings":{"default":{"default":"parenthèse de fantaisie droite demi grasse aplatie"}}},{"category":"Ps","key":"276C","mappings":{"default":{"default":"chevron de fantaisie vers la gauche demi gras"}}},{"category":"Pe","key":"276D","mappings":{"default":{"default":"chevron de fantaisie vers la droite demi gras"}}},{"category":"Ps","key":"276E","mappings":{"default":{"default":"guillemet de fantaisie vers la gauche gras"}}},{"category":"Pe","key":"276F","mappings":{"default":{"default":"guillemet de fantaisie vers la droite gras"}}},{"category":"Ps","key":"2770","mappings":{"default":{"default":"crochet de fantaisie vers la gauche gras"}}},{"category":"Pe","key":"2771","mappings":{"default":{"default":"crochet de fantaisie vers la droite gras"}}},{"category":"Ps","key":"2772","mappings":{"default":{"default":"crochet de fantaisie gauche maigre en écaille"}}},{"category":"Pe","key":"2773","mappings":{"default":{"default":"crochet de fantaisie droit maigre en écaille"}}},{"category":"Ps","key":"2774","mappings":{"default":{"default":"accolade de fantaisie gauche moyenne"}}},{"category":"Pe","key":"2775","mappings":{"default":{"default":"accolade de fantaisie droite moyenne"}}},{"key":"27C5","mappings":{"default":{"default":"délimiteur de sac en s gauche"}},"category":"Ps"},{"key":"27C6","mappings":{"default":{"default":"délimiteur de sac en s droite"}},"category":"Pe"},{"key":"27E6","mappings":{"default":{"default":"crochet blanc gauche"}},"category":"Ps"},{"key":"27E7","mappings":{"default":{"default":"crochet blanc droit"}},"category":"Pe"},{"key":"27E8","mappings":{"default":{"default":"chevron mathématique gauche"}},"category":"Ps"},{"key":"27E9","mappings":{"default":{"default":"chevron droit"}},"category":"Pe"},{"key":"27EA","mappings":{"default":{"default":"double chevron gauche"}},"category":"Ps"},{"key":"27EB","mappings":{"default":{"default":"double chevron droit"}},"category":"Pe"},{"key":"27EC","mappings":{"default":{"default":"crochet gauche en écaille blanche"}},"category":"Ps"},{"key":"27ED","mappings":{"default":{"default":"crochet droit en écaille blanche"}},"category":"Pe"},{"key":"27EE","mappings":{"default":{"default":"parenthèse gauche aplatie"}},"category":"Ps"},{"key":"27EF","mappings":{"default":{"default":"parenthèse droite aplatie"}},"category":"Pe"},{"category":"Ps","key":"2983","mappings":{"default":{"default":"accolade gauche ajourée"}}},{"category":"Pe","key":"2984","mappings":{"default":{"default":"accolade droite ajourée"}}},{"key":"2985","mappings":{"default":{"default":"parenthèse gauche ajourée"}},"category":"Ps"},{"key":"2986","mappings":{"default":{"default":"parenthèse droite ajourée"}},"category":"Pe"},{"category":"Ps","key":"2987","mappings":{"default":{"default":"parenthèse image de gauche en notation z"}}},{"category":"Pe","key":"2988","mappings":{"default":{"default":"parenthèse image de droite en notation z"}}},{"key":"2989","mappings":{"default":{"default":"z notation left binding bracket"}},"category":"Ps"},{"key":"298A","mappings":{"default":{"default":"z notation right binding bracket"}},"category":"Pe"},{"key":"298B","mappings":{"default":{"default":"crochet gauche avec barre souscrite"}},"category":"Ps"},{"key":"298C","mappings":{"default":{"default":"crochet droit avec barre souscrite"}},"category":"Pe"},{"key":"298D","mappings":{"default":{"default":"crochet gauche avec trait dans le coin supérieur"}},"category":"Ps"},{"key":"298E","mappings":{"default":{"default":"crochet droit avec trait dans le coin inférieur"}},"category":"Pe"},{"key":"298F","mappings":{"default":{"default":"crochet gauche avec trait dans le coin inférieur"}},"category":"Ps"},{"key":"2990","mappings":{"default":{"default":"crochet droit avec trait dans le coin supérieur"}},"category":"Pe"},{"key":"2991","mappings":{"default":{"default":"chevron gauche pointé"}},"category":"Ps"},{"key":"2992","mappings":{"default":{"default":"chevron droit pointé"}},"category":"Pe"},{"key":"2993","mappings":{"default":{"default":"parenthèse arc gauche et inférieur à"}},"category":"Ps"},{"key":"2994","mappings":{"default":{"default":"parenthèse arc droite et supérieur à"}},"category":"Pe"},{"key":"2995","mappings":{"default":{"default":"parenthèse double arc droite et supérieur à"}},"category":"Ps"},{"key":"2996","mappings":{"default":{"default":"parenthèse double arc gauche et inférieur à"}},"category":"Pe"},{"category":"Ps","key":"2997","mappings":{"default":{"default":"crochet noir gauche en écaille"}}},{"category":"Pe","key":"2998","mappings":{"default":{"default":"crochet noir droite en écaille"}}},{"category":"Ps","key":"29D8","mappings":{"default":{"default":"clôture dentelée gauche"}}},{"category":"Pe","key":"29D9","mappings":{"default":{"default":"clôture dentelée droite"}}},{"key":"29DA","mappings":{"default":{"default":"double clôture dentelée gauche"}},"category":"Ps"},{"key":"29DB","mappings":{"default":{"default":"right double wiggly fence"}},"category":"Pe"},{"category":"Ps","key":"29FC","mappings":{"default":{"default":"chevron vers la gauche courbé"}}},{"category":"Pe","key":"29FD","mappings":{"default":{"default":"chevron vers la droite courbé"}}},{"category":"Ps","key":"2E22","mappings":{"default":{"default":"anglet supérieur gauche"}}},{"category":"Pe","key":"2E23","mappings":{"default":{"default":"anglet supérieur droit"}}},{"category":"Ps","key":"2E24","mappings":{"default":{"default":"anglet inférieur gauche"}}},{"category":"Pe","key":"2E25","mappings":{"default":{"default":"anglet inférieur droit"}}},{"category":"Ps","key":"2E26","mappings":{"default":{"default":"crampillon couché gauche"}}},{"category":"Pe","key":"2E27","mappings":{"default":{"default":"crampillon couché droit"}}},{"category":"Ps","key":"2E28","mappings":{"default":{"default":"double parenthèse gauche"}}},{"category":"Pe","key":"2E29","mappings":{"default":{"default":"double parenthèse droite"}}},{"category":"Ps","key":"3008","mappings":{"default":{"default":"chevron gauche"}}},{"category":"Pe","key":"3009","mappings":{"default":{"default":"chevron droit"}}},{"key":"300A","mappings":{"default":{"default":"double chevron gauche"}},"category":"Ps"},{"key":"300B","mappings":{"default":{"default":"double chevron droit"}},"category":"Pe"},{"category":"Ps","key":"300C","mappings":{"default":{"default":"anglet gauche"}}},{"category":"Pe","key":"300D","mappings":{"default":{"default":"anglet droit"}}},{"category":"Ps","key":"300E","mappings":{"default":{"default":"anglet ajouré gauche"}}},{"category":"Pe","key":"300F","mappings":{"default":{"default":"anglet ajouré droit"}}},{"category":"Ps","key":"3010","mappings":{"default":{"default":"crochet noir lenticulaire gauche"}}},{"category":"Pe","key":"3011","mappings":{"default":{"default":"crochet noir lenticulaire droit"}}},{"key":"3014","mappings":{"default":{"default":"crochet gauche en écaille"}},"category":"Ps"},{"key":"3015","mappings":{"default":{"default":"crochet droit en écaille"}},"category":"Pe"},{"category":"Ps","key":"3016","mappings":{"default":{"default":"crochet blanc lenticulaire gauche"}}},{"category":"Pe","key":"3017","mappings":{"default":{"default":"crochet blanc lenticulaire droit"}}},{"category":"Ps","key":"3018","mappings":{"default":{"default":"crochet blanc gauche en écaille"}}},{"category":"Pe","key":"3019","mappings":{"default":{"default":"crochet blanc droit en écaille"}}},{"key":"301A","mappings":{"default":{"default":"crochet blanc gauche"}},"category":"Ps"},{"key":"301B","mappings":{"default":{"default":"crochet blanc droit"}},"category":"Pe"},{"category":"Ps","key":"301D","mappings":{"default":{"default":"guillemet double prime réfléchi"}}},{"key":"301E","mappings":{"default":{"default":"guillemet double prime"}},"category":"Pe"},{"category":"Pe","key":"301F","mappings":{"default":{"default":"guillemet double prime inférieur"}}},{"category":"Ps","key":"FD3E","mappings":{"default":{"default":"parenthèse gauche ornée"}}},{"category":"Pe","key":"FD3F","mappings":{"default":{"default":"parenthèse droite ornée"}}},{"category":"Ps","key":"FE17","mappings":{"default":{"default":"forme de présentation de crochet blanc lenticulaire gauche vertical"}}},{"category":"Pe","key":"FE18","mappings":{"default":{"default":"forme de présentation de crochet blanc lenticulaire droit vertical"}}},{"key":"FE35","mappings":{"default":{"default":"forme de présentation de parenthèse gauche verticale"}},"category":"Ps"},{"key":"FE36","mappings":{"default":{"default":"forme de présentation de parenthèse droite verticale"}},"category":"Pe"},{"key":"FE37","mappings":{"default":{"default":"forme de présentation d'accolade gauche verticale"}},"category":"Ps"},{"key":"FE38","mappings":{"default":{"default":"forme de présentation d'accolade droite verticale"}},"category":"Pe"},{"category":"Ps","key":"FE39","mappings":{"default":{"default":"forme de présentation de crochet gauche vertical en écaille"}}},{"category":"Pe","key":"FE3A","mappings":{"default":{"default":"forme de présentation de crochet droit vertical en écaille"}}},{"category":"Ps","key":"FE3B","mappings":{"default":{"default":"forme de présentation de crochet gauche lenticulaire noir vertical"}}},{"category":"Pe","key":"FE3C","mappings":{"default":{"default":"forme de présentation de crochet droit lenticulaire noir vertical"}}},{"category":"Ps","key":"FE3D","mappings":{"default":{"default":"forme de présentation de crochet double gauche vertical"}}},{"category":"Pe","key":"FE3E","mappings":{"default":{"default":"forme de présentation de crochet double droit vertical"}}},{"key":"FE3F","mappings":{"default":{"default":"over angle bracket"}},"category":"Ps"},{"key":"FE40","mappings":{"default":{"default":"under angle bracket"}},"category":"Pe"},{"category":"Ps","key":"FE41","mappings":{"default":{"default":"forme de présentation de crochet vertical gauche en coin"}}},{"category":"Pe","key":"FE42","mappings":{"default":{"default":"forme de présentation de crochet vertical droit en coin"}}},{"category":"Ps","key":"FE43","mappings":{"default":{"default":"forme de présentation de crochet blanc vertical gauche en coin"}}},{"category":"Pe","key":"FE44","mappings":{"default":{"default":"forme de présentation de crochet blanc vertical droit en coin"}}},{"category":"Ps","key":"FE47","mappings":{"default":{"default":"forme de présentation de crochet gauche vertical"}}},{"category":"Pe","key":"FE48","mappings":{"default":{"default":"forme de présentation de crochet droit vertical"}}},{"category":"Ps","key":"FE59","mappings":{"default":{"default":"parenthèse gauche minuscule"}}},{"category":"Pe","key":"FE5A","mappings":{"default":{"default":"parenthèse droite minuscule"}}},{"category":"Ps","key":"FE5B","mappings":{"default":{"default":"accolade gauche minuscule"}}},{"category":"Pe","key":"FE5C","mappings":{"default":{"default":"accolade droite minuscule"}}},{"category":"Ps","key":"FE5D","mappings":{"default":{"default":"crochet gauche en écaille minuscule"}}},{"category":"Pe","key":"FE5E","mappings":{"default":{"default":"crochet droit en écaille minuscule"}}},{"category":"Ps","key":"FF08","mappings":{"default":{"default":"parenthèse gauche pleine chasse"}}},{"category":"Pe","key":"FF09","mappings":{"default":{"default":"parenthèse droite pleine chasse"}}},{"category":"Ps","key":"FF3B","mappings":{"default":{"default":"crochet gauche pleine chasse"}}},{"category":"Pe","key":"FF3D","mappings":{"default":{"default":"crochet droit pleine chasse"}}},{"category":"Ps","key":"FF5B","mappings":{"default":{"default":"accolade gauche pleine chasse"}}},{"category":"Pe","key":"FF5D","mappings":{"default":{"default":"accolade droite pleine chasse"}}},{"category":"Ps","key":"FF5F","mappings":{"default":{"default":"parenthèse gauche ajourée pleine chasse *"}}},{"category":"Pe","key":"FF60","mappings":{"default":{"default":"parenthèse droite ajourée pleine chasse *"}}},{"category":"Ps","key":"FF62","mappings":{"default":{"default":"crochet gauche en coin demi chasse"}}},{"category":"Pe","key":"FF63","mappings":{"default":{"default":"crochet droit en coin demi chasse"}}}]
+,
+"fr/symbols/math_geometry.js": 
+[{"locale":"fr"},{"key":"2500","mappings":{"default":{"default":"filet horizontal fin"}},"category":"So"},{"category":"So","key":"2501","mappings":{"default":{"default":"filet horizontal gras"}}},{"key":"2502","mappings":{"default":{"default":"filet vertical fin"}},"category":"So"},{"category":"So","key":"2503","mappings":{"default":{"default":"filet vertical gras"}}},{"category":"So","key":"2504","mappings":{"default":{"default":"filet brisé triple horizontal fin"}}},{"category":"So","key":"2505","mappings":{"default":{"default":"filet brisé triple horizontal gras"}}},{"category":"So","key":"2506","mappings":{"default":{"default":"filet brisé triple vertical fin"}}},{"category":"So","key":"2507","mappings":{"default":{"default":"filet brisé triple vertical gras"}}},{"category":"So","key":"2508","mappings":{"default":{"default":"filet brisé quadruple horizontal fin"}}},{"category":"So","key":"2509","mappings":{"default":{"default":"filet brisé quadruple horizontal gras"}}},{"category":"So","key":"250A","mappings":{"default":{"default":"filet brisé quadruple vertical fin"}}},{"category":"So","key":"250B","mappings":{"default":{"default":"filet brisé quadruple vertical gras"}}},{"key":"250C","mappings":{"default":{"default":"filet fin vers le bas et vers la droite"}},"category":"So"},{"category":"So","key":"250D","mappings":{"default":{"default":"filet fin vers le bas et gras vers la droite"}}},{"category":"So","key":"250E","mappings":{"default":{"default":"filet gras vers le bas et fin vers la droite"}}},{"category":"So","key":"250F","mappings":{"default":{"default":"filet gras vers le bas et vers la droite"}}},{"key":"2510","mappings":{"default":{"default":"filet fin vers le bas et vers la gauche"}},"category":"So"},{"category":"So","key":"2511","mappings":{"default":{"default":"filet fin vers le bas et gras vers la gauche"}}},{"category":"So","key":"2512","mappings":{"default":{"default":"filet gras vers le bas et fin vers la gauche"}}},{"category":"So","key":"2513","mappings":{"default":{"default":"filet gras vers le bas et vers la gauche"}}},{"key":"2514","mappings":{"default":{"default":"filet fin vers le haut et vers la droite"}},"category":"So"},{"category":"So","key":"2515","mappings":{"default":{"default":"filet fin vers le haut et gras vers la droite"}}},{"category":"So","key":"2516","mappings":{"default":{"default":"filet gras vers le haut et fin vers la droite"}}},{"category":"So","key":"2517","mappings":{"default":{"default":"filet gras vers le haut et vers la droite"}}},{"key":"2518","mappings":{"default":{"default":"filet fin vers le haut et vers la gauche"}},"category":"So"},{"category":"So","key":"2519","mappings":{"default":{"default":"filet fin vers le haut et gras vers la gauche"}}},{"category":"So","key":"251A","mappings":{"default":{"default":"filet gras vers le haut et fin vers la gauche"}}},{"category":"So","key":"251B","mappings":{"default":{"default":"filet gras vers le haut et vers la gauche"}}},{"key":"251C","mappings":{"default":{"default":"filet fin vertical et vers la droite"}},"category":"So"},{"category":"So","key":"251D","mappings":{"default":{"default":"filet fin vertical et gras vers la droite"}}},{"category":"So","key":"251E","mappings":{"default":{"default":"filet gras vers le haut et fin vers la droite et vers le bas"}}},{"category":"So","key":"251F","mappings":{"default":{"default":"filet gras vers le bas et fin vers la droite et vers le haut"}}},{"category":"So","key":"2520","mappings":{"default":{"default":"filet gras vertical et fin vers la droite"}}},{"category":"So","key":"2521","mappings":{"default":{"default":"filet fin vers le bas et gras vers la droite et vers le haut"}}},{"category":"So","key":"2522","mappings":{"default":{"default":"filet fin vers le haut et gras vers la droite et vers le bas"}}},{"category":"So","key":"2523","mappings":{"default":{"default":"filet gras vertical et vers la droite"}}},{"key":"2524","mappings":{"default":{"default":"filet fin vertical et vers la gauche"}},"category":"So"},{"category":"So","key":"2525","mappings":{"default":{"default":"filet fin vertical et gras vers la gauche"}}},{"category":"So","key":"2526","mappings":{"default":{"default":"filet gras vers le haut et fin vers la gauche et vers le bas"}}},{"category":"So","key":"2527","mappings":{"default":{"default":"filet gras vers le bas et fin vers la gauche et vers le haut"}}},{"category":"So","key":"2528","mappings":{"default":{"default":"filet gras vertical et fin vers la gauche"}}},{"category":"So","key":"2529","mappings":{"default":{"default":"filet fin vers le bas et gras vers la gauche et vers le haut"}}},{"category":"So","key":"252A","mappings":{"default":{"default":"filet fin vers le haut et gras vers la gauche et vers le bas"}}},{"category":"So","key":"252B","mappings":{"default":{"default":"filet gras vertical et vers la gauche"}}},{"key":"252C","mappings":{"default":{"default":"filet fin vers le bas et horizontal"}},"category":"So"},{"category":"So","key":"252D","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite et vers le bas"}}},{"category":"So","key":"252E","mappings":{"default":{"default":"filet gras vers la droite et fin vers la gauche et vers le bas"}}},{"category":"So","key":"252F","mappings":{"default":{"default":"filet fin vers le bas et gras horizontal"}}},{"category":"So","key":"2530","mappings":{"default":{"default":"filet gras vers le bas et fin horizontal"}}},{"category":"So","key":"2531","mappings":{"default":{"default":"filet fin vers la droite et gras vers la gauche et vers le bas"}}},{"category":"So","key":"2532","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite et vers le bas"}}},{"category":"So","key":"2533","mappings":{"default":{"default":"filet gras vers le bas et horizontal"}}},{"key":"2534","mappings":{"default":{"default":"filet fin vers le haut et horizontal"}},"category":"So"},{"category":"So","key":"2535","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite et vers le haut"}}},{"category":"So","key":"2536","mappings":{"default":{"default":"filet gras vers la droite et fin vers la gauche et vers le haut"}}},{"category":"So","key":"2537","mappings":{"default":{"default":"filet fin vers le haut et gras horizontal"}}},{"category":"So","key":"2538","mappings":{"default":{"default":"filet gras vers le haut et fin horizontal"}}},{"category":"So","key":"2539","mappings":{"default":{"default":"filet fin vers la droite et gras vers la gauche et vers le haut"}}},{"category":"So","key":"253A","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite et vers le haut"}}},{"category":"So","key":"253B","mappings":{"default":{"default":"filet gras vers le haut et horizontal"}}},{"key":"253C","mappings":{"default":{"default":"filet fin vertical et horizontal"}},"category":"So"},{"category":"So","key":"253D","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite et vertical"}}},{"category":"So","key":"253E","mappings":{"default":{"default":"filet gras vers la droite et fin vers la gauche et vertical"}}},{"category":"So","key":"253F","mappings":{"default":{"default":"filet vertical fin et horizontal gras"}}},{"category":"So","key":"2540","mappings":{"default":{"default":"filet gras vers le haut et fin vers le bas et horizontal"}}},{"category":"So","key":"2541","mappings":{"default":{"default":"filet gras vers le bas et fin vers le haut et horizontal"}}},{"category":"So","key":"2542","mappings":{"default":{"default":"filet vertical gras et horizontal fin"}}},{"category":"So","key":"2543","mappings":{"default":{"default":"filet gras vers la gauche et vers le haut et fin vers la droite et vers le bas"}}},{"category":"So","key":"2544","mappings":{"default":{"default":"filet gras vers la droite et vers le haut et fin vers la gauche et vers le bas"}}},{"category":"So","key":"2545","mappings":{"default":{"default":"filet gras vers la gauche et vers le bas et fin vers la droite et vers le haut"}}},{"category":"So","key":"2546","mappings":{"default":{"default":"filet gras vers la droite et vers le bas et fin vers la gauche et vers le haut"}}},{"category":"So","key":"2547","mappings":{"default":{"default":"filet fin vers le bas et gras vers le haut et horizontal"}}},{"category":"So","key":"2548","mappings":{"default":{"default":"filet fin vers le haut et gras vers le bas et horizontal"}}},{"category":"So","key":"2549","mappings":{"default":{"default":"filet fin vers la droite et gras vers la gauche et vertical"}}},{"category":"So","key":"254A","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite et vertical"}}},{"category":"So","key":"254B","mappings":{"default":{"default":"filet vertical et horizontal gras"}}},{"category":"So","key":"254C","mappings":{"default":{"default":"filet brisé double horizontal fin"}}},{"category":"So","key":"254D","mappings":{"default":{"default":"filet brisé double horizontal gras"}}},{"category":"So","key":"254E","mappings":{"default":{"default":"filet brisé double vertical fin"}}},{"category":"So","key":"254F","mappings":{"default":{"default":"filet brisé double vertical gras"}}},{"key":"2550","mappings":{"default":{"default":"filet double horizontal"}},"category":"So"},{"key":"2551","mappings":{"default":{"default":"filet double vertical"}},"category":"So"},{"key":"2552","mappings":{"default":{"default":"filet simple le bas et double vers la droite"}},"category":"So"},{"key":"2553","mappings":{"default":{"default":"filet double vers le bas et simple vers la droite"}},"category":"So"},{"key":"2554","mappings":{"default":{"default":"filet double vers le bas et vers la droite"}},"category":"So"},{"key":"2555","mappings":{"default":{"default":"filet simple vers le bas et double vers la gauche"}},"category":"So"},{"key":"2556","mappings":{"default":{"default":"filet double vers le bas et simple vers la gauche"}},"category":"So"},{"key":"2557","mappings":{"default":{"default":"filet double vers le bas et vers la gauche"}},"category":"So"},{"key":"2558","mappings":{"default":{"default":"filet simple vers le haut et double vers la droite"}},"category":"So"},{"key":"2559","mappings":{"default":{"default":"filet double vers le haut et simple vers la droite"}},"category":"So"},{"key":"255A","mappings":{"default":{"default":"filet double vers le haut et vers la droite"}},"category":"So"},{"key":"255B","mappings":{"default":{"default":"filet simple vers le haut et double vers la gauche"}},"category":"So"},{"key":"255C","mappings":{"default":{"default":"filet double vers le haut et simple vers la gauche"}},"category":"So"},{"key":"255D","mappings":{"default":{"default":"filet double vers le haut et vers la gauche"}},"category":"So"},{"key":"255E","mappings":{"default":{"default":"filet vertical simple et droit double"}},"category":"So"},{"key":"255F","mappings":{"default":{"default":"filet vertical double et droit simple"}},"category":"So"},{"key":"2560","mappings":{"default":{"default":"filet double vertical et vers la droite"}},"category":"So"},{"key":"2561","mappings":{"default":{"default":"filet vertical simple et gauche double"}},"category":"So"},{"key":"2562","mappings":{"default":{"default":"filet vertical double et gauche simple"}},"category":"So"},{"key":"2563","mappings":{"default":{"default":"filet double vertical et vers la gauche"}},"category":"So"},{"key":"2564","mappings":{"default":{"default":"filet vers le bas simple et horizontal double"}},"category":"So"},{"key":"2565","mappings":{"default":{"default":"filet vers le bas double et horizontal simple"}},"category":"So"},{"key":"2566","mappings":{"default":{"default":"filet double vers le bas et horizontal"}},"category":"So"},{"key":"2567","mappings":{"default":{"default":"filet vers le haut simple et horizontal double"}},"category":"So"},{"key":"2568","mappings":{"default":{"default":"filet vers le haut double et horizontal simple"}},"category":"So"},{"key":"2569","mappings":{"default":{"default":"filet double vers le haut et horizontal"}},"category":"So"},{"key":"256A","mappings":{"default":{"default":"filet vertical simple et horizontal double"}},"category":"So"},{"key":"256B","mappings":{"default":{"default":"filet vertical double et horizontal simple"}},"category":"So"},{"key":"256C","mappings":{"default":{"default":"filet double vertical et horizontall"}},"category":"So"},{"category":"So","key":"256D","mappings":{"default":{"default":"filet fin arc vers le bas et vers la droite"}}},{"category":"So","key":"256E","mappings":{"default":{"default":"filet fin arc vers le bas et vers la gauche"}}},{"category":"So","key":"256F","mappings":{"default":{"default":"filet fin arc vers le haut et vers la gauche"}}},{"category":"So","key":"2570","mappings":{"default":{"default":"filet fin arc vers le haut et vers la droite"}}},{"category":"So","key":"2571","mappings":{"default":{"default":"filet diagonal fin du coin supérieur droit au coin inférieur gauche"}}},{"category":"So","key":"2572","mappings":{"default":{"default":"filet diagonal fin du coin supérieur gauche vers le coin inférieur droit"}}},{"category":"So","key":"2573","mappings":{"default":{"default":"filet diagonal fin en croix"}}},{"category":"So","key":"2574","mappings":{"default":{"default":"filet fin vers la gauche"}}},{"category":"So","key":"2575","mappings":{"default":{"default":"filet fin vers le haut"}}},{"category":"So","key":"2576","mappings":{"default":{"default":"filet fin vers la droite"}}},{"category":"So","key":"2577","mappings":{"default":{"default":"filet fin vers le bas"}}},{"category":"So","key":"2578","mappings":{"default":{"default":"filet gras vers la gauche"}}},{"category":"So","key":"2579","mappings":{"default":{"default":"filet gras vers le haut"}}},{"category":"So","key":"257A","mappings":{"default":{"default":"filet gras vers la droite"}}},{"category":"So","key":"257B","mappings":{"default":{"default":"filet gras vers le bas"}}},{"category":"So","key":"257C","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite"}}},{"category":"So","key":"257D","mappings":{"default":{"default":"filet fin vers le haut et gras vers le bas"}}},{"category":"So","key":"257E","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite"}}},{"category":"So","key":"257F","mappings":{"default":{"default":"filet gras vers le haut et fin vers le bas"}}},{"key":"2580","mappings":{"default":{"default":"moitié supérieure de pavé"}},"category":"So"},{"category":"So","key":"2581","mappings":{"default":{"default":"huitième inférieur de pavé"}}},{"category":"So","key":"2582","mappings":{"default":{"default":"quart inférieur de pavé"}}},{"category":"So","key":"2583","mappings":{"default":{"default":"trois huitièmes inférieurs de pavé"}}},{"key":"2584","mappings":{"default":{"default":"moitié inférieure de pavé"}},"category":"So"},{"category":"So","key":"2585","mappings":{"default":{"default":"cinq huitièmes inférieurs de pavé"}}},{"category":"So","key":"2586","mappings":{"default":{"default":"trois quarts inférieurs de pavé"}}},{"category":"So","key":"2587","mappings":{"default":{"default":"sept huitièmes inférieurs de pavé"}}},{"key":"2588","mappings":{"default":{"default":"pavé plein"}},"category":"So"},{"category":"So","key":"2589","mappings":{"default":{"default":"sept huitièmes gauches de pavé"}}},{"category":"So","key":"258A","mappings":{"default":{"default":"trois quarts gauches de pavé"}}},{"category":"So","key":"258B","mappings":{"default":{"default":"cinq huitièmes gauches de pavé"}}},{"category":"So","key":"258C","mappings":{"default":{"default":"moitié gauche de pavé"}}},{"category":"So","key":"258D","mappings":{"default":{"default":"trois huitièmes gauches de pavé"}}},{"category":"So","key":"258E","mappings":{"default":{"default":"un quart gauche de pavé"}}},{"category":"So","key":"258F","mappings":{"default":{"default":"un huitième gauche de pavé"}}},{"category":"So","key":"2590","mappings":{"default":{"default":"moitié droite de pavé"}}},{"key":"2591","mappings":{"default":{"default":"ombre légère"}},"category":"So"},{"key":"2592","mappings":{"default":{"default":"ombre moyenne"}},"category":"So"},{"key":"2593","mappings":{"default":{"default":"ombre foncée"}},"category":"So"},{"category":"So","key":"2594","mappings":{"default":{"default":"huitième supérieur de pavé"}}},{"category":"So","key":"2595","mappings":{"default":{"default":"huitième droit de pavé"}}},{"category":"So","key":"2596","mappings":{"default":{"default":"quadrant inférieur gauche"}}},{"category":"So","key":"2597","mappings":{"default":{"default":"quadrant inférieur droit"}}},{"category":"So","key":"2598","mappings":{"default":{"default":"quadrant supérieur gauche"}}},{"category":"So","key":"2599","mappings":{"default":{"default":"quadrant supérieur gauche inférieur gauche et inférieur droit"}}},{"category":"So","key":"259A","mappings":{"default":{"default":"quadrant supérieur gauche et inférieur droit"}}},{"category":"So","key":"259B","mappings":{"default":{"default":"quadrant supérieur gauche supérieur droit et inférieur gauche"}}},{"category":"So","key":"259C","mappings":{"default":{"default":"quadrant supérieur gauche supérieur droit et inférieur droit"}}},{"category":"So","key":"259D","mappings":{"default":{"default":"quadrant supérieur droit"}}},{"category":"So","key":"259E","mappings":{"default":{"default":"quadrant supérieur droit et inférieur gauche"}}},{"category":"So","key":"259F","mappings":{"default":{"default":"quadrant supérieur droit inférieur gauche et inférieur droit"}}},{"key":"25A0","mappings":{"default":{"default":"petit carré noir"}},"category":"So"},{"key":"25A1","mappings":{"default":{"default":"carré blanc"}},"category":"So"},{"category":"So","key":"25A2","mappings":{"default":{"default":"carré blanc aux coins arrondis"}}},{"category":"So","key":"25A3","mappings":{"default":{"default":"petit carré noir inscrit dans un carré blanc"}}},{"category":"So","key":"25A4","mappings":{"default":{"default":"carré hachuré horizontalement"}}},{"category":"So","key":"25A5","mappings":{"default":{"default":"carré hachuré verticalement"}}},{"category":"So","key":"25A6","mappings":{"default":{"default":"carré quadrillé"}}},{"category":"So","key":"25A7","mappings":{"default":{"default":"carré hachuré du haut à gauche vers le bas à droite"}}},{"category":"So","key":"25A8","mappings":{"default":{"default":"carré hachuré du haut à droite vers le bas à gauche"}}},{"category":"So","key":"25A9","mappings":{"default":{"default":"carré quadrillé en diagonale"}}},{"key":"25AA","mappings":{"default":{"default":"petit carré noir"}},"category":"So"},{"key":"25AB","mappings":{"default":{"default":"petit carré blanc"}},"category":"So"},{"category":"So","key":"25AC","mappings":{"default":{"default":"rectangle noir"}}},{"key":"25AD","mappings":{"default":{"default":"rectangle blanc"}},"category":"So"},{"key":"25AE","mappings":{"default":{"default":"rectangle vertical noir"}},"category":"So"},{"key":"25AF","mappings":{"default":{"default":"white vertical rectangle"}},"category":"So"},{"category":"So","key":"25B0","mappings":{"default":{"default":"parallélogramme noir"}}},{"key":"25B1","mappings":{"default":{"default":"parallélogramme blanc"}},"category":"So"},{"key":"25B2","mappings":{"default":{"default":"petit triangle noir pointant vers le haut"}},"category":"So"},{"key":"25B3","mappings":{"default":{"default":"triangle blanc pointant vers le haut"}},"category":"So"},{"key":"25B4","mappings":{"default":{"default":"petit triangle noir pointant vers le haut"}},"category":"So"},{"key":"25B5","mappings":{"default":{"default":"petit triangle blanc pointant vers le haut"}},"category":"So"},{"key":"25B6","mappings":{"default":{"default":"petit triangle noir pointant vers la droite"}},"category":"So"},{"key":"25B7","mappings":{"default":{"default":"triangle blanc pointant vers la droite"}},"category":"Sm"},{"key":"25B8","mappings":{"default":{"default":"petit triangle noir pointant vers la droite"}},"category":"So"},{"key":"25B9","mappings":{"default":{"default":"petit triangle blanc pointant vers la droite"}},"category":"So"},{"category":"So","key":"25BA","mappings":{"default":{"default":"pointeur noir vers la droite"}}},{"category":"So","key":"25BB","mappings":{"default":{"default":"pointeur blanc vers la droite"}}},{"key":"25BC","mappings":{"default":{"default":"petit triangle noir pointant vers le bas"}},"category":"So"},{"key":"25BD","mappings":{"default":{"default":"triangle blanc pointant vers le bas"}},"category":"So"},{"key":"25BE","mappings":{"default":{"default":"petit triangle noir pointant vers le bas"}},"category":"So"},{"key":"25BF","mappings":{"default":{"default":"petit triangle blanc pointant vers le bas"}},"category":"So"},{"key":"25C0","mappings":{"default":{"default":"petit triangle noir pointant vers la gauche"}},"category":"So"},{"key":"25C1","mappings":{"default":{"default":"petit triangle blanc pointant vers la gauche"}},"category":"Sm"},{"key":"25C2","mappings":{"default":{"default":"petit triangle noir pointant vers la gauche"}},"category":"So"},{"key":"25C3","mappings":{"default":{"default":"petit triangle blanc pointant vers la gauche"}},"category":"So"},{"key":"25C4","mappings":{"default":{"default":"pointeur noir vers la gauche"}},"category":"So"},{"key":"25C5","mappings":{"default":{"default":"pointeur blanc vers la gauche"}},"category":"So"},{"key":"25C6","mappings":{"default":{"default":"losange noir"}},"category":"So"},{"key":"25C7","mappings":{"default":{"default":"losange blanc"}},"category":"So"},{"key":"25C8","mappings":{"default":{"default":"losange blanc évidé"}},"category":"So"},{"key":"25C9","mappings":{"default":{"default":"cercle blanc évidé"}},"category":"So"},{"key":"25CA","mappings":{"default":{"default":"losange"}},"category":"So"},{"key":"25CB","mappings":{"default":{"default":"cercle blanc"}},"category":"So"},{"key":"25CC","mappings":{"default":{"default":"cercle en pointillés"}},"category":"So"},{"key":"25CD","mappings":{"default":{"default":"cercle hachuré verticalement"}},"category":"So"},{"key":"25CE","mappings":{"default":{"default":"deux cercles concentriques"}},"category":"So"},{"key":"25CF","mappings":{"default":{"default":"cercle noir"}},"category":"So"},{"key":"25D0","mappings":{"default":{"default":"cercle avec moitié gauche noire"}},"category":"So"},{"key":"25D1","mappings":{"default":{"default":"cercle avec moitié droite noire"}},"category":"So"},{"key":"25D2","mappings":{"default":{"default":"cercle avec moitié inférieure"}},"category":"So"},{"key":"25D3","mappings":{"default":{"default":"cercle avec moitié supérieure"}},"category":"So"},{"key":"25D4","mappings":{"default":{"default":"cercle avec quadrant supérieur droit noir"}},"category":"So"},{"key":"25D5","mappings":{"default":{"default":"disque avec quadrant supérieur gauche blanc"}},"category":"So"},{"key":"25D6","mappings":{"default":{"default":"demi disque gauche noir"}},"category":"So"},{"key":"25D7","mappings":{"default":{"default":"demi disque droite noir"}},"category":"So"},{"key":"25D8","mappings":{"default":{"default":"point noir au blanc"}},"category":"So"},{"key":"25D9","mappings":{"default":{"default":"cercle noir au blanc"}},"category":"So"},{"key":"25DA","mappings":{"default":{"default":"demi cercle supérieur noir au  blanc"}},"category":"So"},{"key":"25DB","mappings":{"default":{"default":"demi cercle inférieur noir au  blanc"}},"category":"So"},{"key":"25DC","mappings":{"default":{"default":"arc de cercle dans le quadrant supérieur gauchearc de cercle dans le quadrant supérieur gauche"}},"category":"So"},{"key":"25DD","mappings":{"default":{"default":"arc de cercle dans le quadrant supérieur droit"}},"category":"So"},{"key":"25DE","mappings":{"default":{"default":"arc de cercle dans le quadrant inférieur droit"}},"category":"So"},{"key":"25DF","mappings":{"default":{"default":"arc de cercle dans le quadrant inférieur gauche"}},"category":"So"},{"key":"25E0","mappings":{"default":{"default":"demi cercle supérieur"}},"category":"So"},{"key":"25E1","mappings":{"default":{"default":"demi cercle inférieur"}},"category":"So"},{"key":"25E2","mappings":{"default":{"default":"coin triangulaire noir inférieur droit"}},"category":"So"},{"key":"25E3","mappings":{"default":{"default":"coin triangulaire noir inférieur gauche"}},"category":"So"},{"key":"25E4","mappings":{"default":{"default":"coin triangulaire noir supérieur gauche"}},"category":"So"},{"key":"25E5","mappings":{"default":{"default":"coin triangulaire noir supérieur droit"}},"category":"So"},{"key":"25E6","mappings":{"default":{"default":"opérateur rond"}},"category":"So"},{"key":"25E7","mappings":{"default":{"default":"carré à moitié gauche noire"}},"category":"So"},{"key":"25E8","mappings":{"default":{"default":"carré à moitié droite noire"}},"category":"So"},{"key":"25E9","mappings":{"default":{"default":"carré à moitié supérieure gauche noire"}},"category":"So"},{"key":"25EA","mappings":{"default":{"default":"carré à moitié inférieure droite noire"}},"category":"So"},{"key":"25EB","mappings":{"default":{"default":"carré blanc à ligne bissectrice verticale"}},"category":"So"},{"key":"25EC","mappings":{"default":{"default":"triangle blanc pointant vers le haut pointé"}},"category":"So"},{"key":"25ED","mappings":{"default":{"default":"triangle pointe vers le haut À moitié gauche noire"}},"category":"So"},{"key":"25EE","mappings":{"default":{"default":"triangle pointe vers le haut À moitié droite noire"}},"category":"So"},{"key":"25EF","mappings":{"default":{"default":"grand cercle"}},"category":"So"},{"category":"So","key":"25F0","mappings":{"default":{"default":"carré blanc à quartier supérieur gauche"}}},{"category":"So","key":"25F1","mappings":{"default":{"default":"carré blanc à quartier inférieur gauche"}}},{"category":"So","key":"25F2","mappings":{"default":{"default":"carré blanc à quartier inférieur droit"}}},{"category":"So","key":"25F3","mappings":{"default":{"default":"carré blanc à quartier supérieur droit"}}},{"category":"So","key":"25F4","mappings":{"default":{"default":"cercle blanc à quartier supérieur gauche"}}},{"category":"So","key":"25F5","mappings":{"default":{"default":"cercle blanc à quartier inférieur gauche"}}},{"category":"So","key":"25F6","mappings":{"default":{"default":"cercle blanc à quartier inférieur droit"}}},{"category":"So","key":"25F7","mappings":{"default":{"default":"cercle blanc à quartier supérieur droit"}}},{"key":"25F8","mappings":{"default":{"default":"triangle rectangle supérieur gauche"}},"category":"Sm"},{"key":"25F9","mappings":{"default":{"default":"triangle rectangle supérieur droit"}},"category":"Sm"},{"key":"25FA","mappings":{"default":{"default":"triangle rectangle inférieur gauche"}},"category":"Sm"},{"key":"25FB","mappings":{"default":{"default":"carré moyen blanc"}},"category":"Sm"},{"key":"25FC","mappings":{"default":{"default":"carré moyen noir"}},"category":"Sm"},{"key":"25FD","mappings":{"default":{"default":"carré moyen blanc"}},"category":"Sm"},{"key":"25FE","mappings":{"default":{"default":"carré moyen noir"}},"category":"Sm"},{"key":"25FF","mappings":{"default":{"default":"triangle rectangle inférieur droit"}},"category":"Sm"},{"category":"So","key":"2B12","mappings":{"default":{"default":"carré à moitié supérieure noire"}}},{"category":"So","key":"2B13","mappings":{"default":{"default":"carré à moitié inférieure noire"}}},{"category":"So","key":"2B14","mappings":{"default":{"default":"carré à moitié diagonale supérieure droite noire"}}},{"category":"So","key":"2B15","mappings":{"default":{"default":"carré à moitié diagonale inférieure droite noire"}}},{"category":"So","key":"2B16","mappings":{"default":{"default":"losange à moitié gauche noire"}}},{"category":"So","key":"2B17","mappings":{"default":{"default":"losange à moitié droite noire"}}},{"category":"So","key":"2B18","mappings":{"default":{"default":"losange à moitié supérieure noire"}}},{"category":"So","key":"2B19","mappings":{"default":{"default":"losange à moitié inférieure noire"}}},{"category":"So","key":"2B1A","mappings":{"default":{"default":"carré en pointillés"}}},{"category":"So","key":"2B1B","mappings":{"default":{"default":"grand carré noir"}}},{"category":"So","key":"2B1C","mappings":{"default":{"default":"grand carré blanc"}}},{"category":"So","key":"2B1D","mappings":{"default":{"default":"très petit carré noir"}}},{"category":"So","key":"2B1E","mappings":{"default":{"default":"très petit carré blanc"}}},{"category":"So","key":"2B1F","mappings":{"default":{"default":"pentagone noir"}}},{"category":"So","key":"2B20","mappings":{"default":{"default":"pentagone blanc"}}},{"category":"So","key":"2B21","mappings":{"default":{"default":"hexagone blanc"}}},{"category":"So","key":"2B22","mappings":{"default":{"default":"hexagone noir"}}},{"category":"So","key":"2B23","mappings":{"default":{"default":"hexagone noir posé sur un côté"}}},{"category":"So","key":"2B24","mappings":{"default":{"default":"grand cercle noir"}}},{"category":"So","key":"2B25","mappings":{"default":{"default":"losange moyen noir"}}},{"category":"So","key":"2B26","mappings":{"default":{"default":"losange moyen blanc"}}},{"category":"So","key":"2B27","mappings":{"default":{"default":"rhombe moyen noir"}}},{"category":"So","key":"2B28","mappings":{"default":{"default":"rhombe moyen blanc"}}},{"category":"So","key":"2B29","mappings":{"default":{"default":"petit losange noir"}}},{"category":"So","key":"2B2A","mappings":{"default":{"default":"petit rhombe noir"}}},{"category":"So","key":"2B2B","mappings":{"default":{"default":"petit rhombe blanc"}}},{"category":"So","key":"2B2C","mappings":{"default":{"default":"ellipse horizontale noire"}}},{"category":"So","key":"2B2D","mappings":{"default":{"default":"ellipse horizontale blanche"}}},{"category":"So","key":"2B2E","mappings":{"default":{"default":"ellipse verticale noire"}}},{"category":"So","key":"2B2F","mappings":{"default":{"default":"ellipse verticale blanche"}}},{"key":"2B50","mappings":{"default":{"default":"étoile blanche moyenne"}},"category":"So"},{"key":"2B51","mappings":{"default":{"default":"petite étoile noire"}},"category":"So"},{"key":"2B52","mappings":{"default":{"default":"petite étoile blanche"}},"category":"So"},{"category":"So","key":"2B53","mappings":{"default":{"default":"pentagone noir pointant vers la droite"}}},{"category":"So","key":"2B54","mappings":{"default":{"default":"pentagone blanc pointant vers la droite"}}},{"category":"So","key":"2B55","mappings":{"default":{"default":"grand cercle gras"}}},{"category":"So","key":"2B56","mappings":{"default":{"default":"ovale gras avec ovale inscrit"}}},{"category":"So","key":"2B57","mappings":{"default":{"default":"cercle gras avec cercle inscrit"}}},{"category":"So","key":"2B58","mappings":{"default":{"default":"cercle gras"}}},{"category":"So","key":"2B59","mappings":{"default":{"default":"sautoir cerclé gras"}}}]
+,
+"fr/symbols/math_harpoons.js": 
+[{"locale":"fr"},{"key":"21BC","mappings":{"default":{"default":"harpon gauche avec dent dressée"}},"category":"So"},{"key":"21BD","mappings":{"default":{"default":"harpon gauche avec dent baissée"}},"category":"So"},{"key":"21BE","mappings":{"default":{"default":"harpon vers le haut avec dent droite"}},"category":"So"},{"key":"21BF","mappings":{"default":{"default":"harpon vers le haut avec dent gauche"}},"category":"So"},{"key":"21C0","mappings":{"default":{"default":"harpon droit avec dent dressée"}},"category":"So"},{"key":"21C1","mappings":{"default":{"default":"harpon droit avec dent baissée"}},"category":"So"},{"key":"21C2","mappings":{"default":{"default":"harpon vers le bas avec dent droite"}},"category":"So"},{"key":"21C3","mappings":{"default":{"default":"harpon vers le bas avec dent gauche"}},"category":"So"},{"key":"21CB","mappings":{"default":{"default":"harpon gauche par dessus harpon droit"}},"category":"So"},{"key":"21CC","mappings":{"default":{"default":"harpon droit par dessus harpon gauche"}},"category":"So"},{"key":"294A","mappings":{"default":{"default":"javelot à dents gauche dressée et droite baissée"}},"category":"Sm"},{"key":"294B","mappings":{"default":{"default":"javelot à dents gauche baissée et droite dressée"}},"category":"Sm"},{"category":"Sm","key":"294C","mappings":{"default":{"default":"crampon à dents supérieure droite et inférieure gauche"}}},{"category":"Sm","key":"294D","mappings":{"default":{"default":"crampon à dents supérieure gauche et inférieure droite"}}},{"key":"294E","mappings":{"default":{"default":"javelot à dents droite et gauche dressées"}},"category":"Sm"},{"key":"294F","mappings":{"default":{"default":"javelot à dents supérieure et inférieure droites"}},"category":"Sm"},{"key":"2950","mappings":{"default":{"default":"javelot à dents droite et gauche baissées"}},"category":"Sm"},{"key":"2951","mappings":{"default":{"default":"javelot à dents supérieure et inférieure gauches"}},"category":"Sm"},{"key":"2952","mappings":{"default":{"default":"harpon gauche à dent dressée contre taquet"}},"category":"Sm"},{"key":"2953","mappings":{"default":{"default":"harpon droit à dent dressée contre taquet"}},"category":"Sm"},{"key":"2954","mappings":{"default":{"default":"harpon vers le haut à dent droite contre taquet"}},"category":"Sm"},{"key":"2955","mappings":{"default":{"default":"harpon vers le bas à dent droite contre taquet"}},"category":"Sm"},{"key":"2956","mappings":{"default":{"default":"harpon gauche à dent baissée contre taquet"}},"category":"Sm"},{"key":"2957","mappings":{"default":{"default":"harpon droit à dent baissée contre taquet"}},"category":"Sm"},{"key":"2958","mappings":{"default":{"default":"harpon vers le haut à dent gauche contre taquet"}},"category":"Sm"},{"key":"2959","mappings":{"default":{"default":"harpon vers le bas à dent gauche contre taquet"}},"category":"Sm"},{"key":"295A","mappings":{"default":{"default":"harpon gauche à dent dressée depuis taquet"}},"category":"Sm"},{"key":"295B","mappings":{"default":{"default":"harpon droit à dent dressée depuis taquet"}},"category":"Sm"},{"key":"295C","mappings":{"default":{"default":"harpon vers le haut à dent droite depuis taquet"}},"category":"Sm"},{"key":"295D","mappings":{"default":{"default":"harpon vers le bas à dent droite depuis taquet"}},"category":"Sm"},{"key":"295E","mappings":{"default":{"default":"harpon gauche à dent baissée depuis taquet"}},"category":"Sm"},{"key":"295F","mappings":{"default":{"default":"harpon droit à dent baissée depuis taquet"}},"category":"Sm"},{"key":"2960","mappings":{"default":{"default":"harpon vers le haut à dent gauche depuis taquet"}},"category":"Sm"},{"key":"2961","mappings":{"default":{"default":"harpon vers le bas à dent gauche depuis taquet"}},"category":"Sm"},{"key":"2962","mappings":{"default":{"default":"harpon gauche à dent dressée sur harpon gauche à dent baissée"}},"category":"Sm"},{"key":"2963","mappings":{"default":{"default":"harpon vers le haut à dent gauche à côté de harpon vers le haut à dent droite"}},"category":"Sm"},{"key":"2964","mappings":{"default":{"default":"harpon droit à dent dressée par dessus harpon droit à dent baissée"}},"category":"Sm"},{"key":"2965","mappings":{"default":{"default":"harpon vers le bas à dent gauche à côté de harpon vers le bas à dent droite"}},"category":"Sm"},{"key":"2966","mappings":{"default":{"default":"harpon à dent gauche dressée par dessus harpon à dent droite dressée"}},"category":"Sm"},{"key":"2967","mappings":{"default":{"default":"harpon à dent gauche baissée par dessus harpon à dent droite baissée"}},"category":"Sm"},{"key":"2968","mappings":{"default":{"default":"harpon à dent droite dressée par dessus harpon à dent gauche dressée"}},"category":"Sm"},{"key":"2969","mappings":{"default":{"default":"harpon à dent droite baissée par dessus harpon à dent gauche baissée"}},"category":"Sm"},{"key":"296A","mappings":{"default":{"default":"harpon à dent gauche dressée par dessus long trait"}},"category":"Sm"},{"key":"296B","mappings":{"default":{"default":"long trait par dessus harpon à dent gauche baissée"}},"category":"Sm"},{"key":"296C","mappings":{"default":{"default":"harpon à dent droite dressée par dessus long trait"}},"category":"Sm"},{"key":"296D","mappings":{"default":{"default":"long trait par dessus harpon à dent droite baissée"}},"category":"Sm"},{"key":"296E","mappings":{"default":{"default":"harpon vers le haut à dent gauche à côté de harpon vers le bas à dent droite"}},"category":"Sm"},{"key":"296F","mappings":{"default":{"default":"harpon vers le bas à dent gauche à côté de harpon vers le haut à dent droite"}},"category":"Sm"},{"key":"297C","mappings":{"default":{"default":"ancre gauche"}},"category":"Sm"},{"key":"297D","mappings":{"default":{"default":"ancre droite"}},"category":"Sm"},{"key":"297E","mappings":{"default":{"default":"ancre vers le haut"}},"category":"Sm"},{"key":"297F","mappings":{"default":{"default":"ancre vers le bas"}},"category":"Sm"}]
+,
+"fr/symbols/math_non_characters.js": 
+[{"locale":"fr"},{"key":"210F","mappings":{"default":{"default":"constante de planck sur deux pi"}},"category":"Ll"},{"category":"So","key":"2114","mappings":{"default":{"default":"symbole l b barré"}}},{"key":"2116","mappings":{"default":{"default":"symbole numéro"}},"category":"So"},{"key":"2117","mappings":{"default":{"default":"copyright de programme sonore"}},"category":"So"},{"key":"211E","mappings":{"default":{"default":"ordonnances"}},"category":"So"},{"category":"So","key":"211F","mappings":{"default":{"default":"répons"}}},{"category":"So","key":"2120","mappings":{"default":{"default":"symbole anglais marque de service"}}},{"category":"So","key":"2121","mappings":{"default":{"default":"signe de téléphone"}}},{"key":"2122","mappings":{"default":{"default":"symbole anglais marque de commerce"}},"category":"So"},{"category":"So","key":"2123","mappings":{"default":{"default":"versicule"}}},{"key":"2125","mappings":{"default":{"default":"symbole once"}},"category":"So"},{"key":"2126","mappings":{"default":{"default":"ohm"}},"category":"Lu"},{"key":"2127","mappings":{"default":{"default":"ohm culbuté"}},"category":"So"},{"key":"212A","mappings":{"default":{"default":"degré kelvin"}},"category":"Lu"},{"key":"212B","mappings":{"default":{"default":"angstroms"}},"category":"Lu"},{"category":"So","key":"212E","mappings":{"default":{"default":"symbole estimé"}}},{"key":"2132","mappings":{"default":{"default":"f culbuté majuscule"}},"category":"Lu"},{"category":"Ll","key":"2139","mappings":{"default":{"default":"bureau d'information"}}},{"category":"So","key":"213A","mappings":{"default":{"default":"Q majuscule couché"}}},{"category":"So","key":"213B","mappings":{"default":{"default":"symbole télécopie"}}},{"category":"Sm","key":"2141","mappings":{"default":{"default":"G culbuté majuscule sans empattement"}}},{"category":"Sm","key":"2142","mappings":{"default":{"default":"L culbuté majuscule sans empattement"}}},{"category":"Sm","key":"2143","mappings":{"default":{"default":"L réfléchi majuscule sans empattement"}}},{"category":"Sm","key":"2144","mappings":{"default":{"default":"Y culbuté majuscule sans empattement"}}}]
+,
+"fr/symbols/math_symbols.js": 
+[{"locale":"fr"},{"key":"0021","mappings":{"default":{"default":"factorielle"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"petit guillemet"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"dièse"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"dollars"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"pourcent"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"esperluette"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"prime","alternative":"apostrophe"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"astérisque"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"plus"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"virgule"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"moins"}},"category":"Pd"},{"key":"002E","mappings":{"default":{"default":"point"}},"category":"Po"},{"key":"002F","mappings":{"default":{"default":"barre oblique"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"deux points"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"point virgule"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"inférieur à"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"égale"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"supérieur à"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"point d'interrogation"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"arobase"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"barre oblique inversée"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circonflexe"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"tiret bas"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"accent grave"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"barre verticale"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"point d'exclamation renversé"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"centimes"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"livres"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"symbole monétaire"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"barre déjointe"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"paragraphe"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"tréma"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"indicateur ordinal féminin"}},"category":"Lo"},{"key":"00AB","mappings":{"default":{"default":"guillemet chevron pointant gauche"}},"category":"Pi"},{"key":"00AC","mappings":{"default":{"default":"négation"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"symbole marque déposée"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"macron"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"degrés"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"plus ou moins"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"accent aigu"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"symbole micro"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"fin de paragraphe"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"point médian"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"cédille"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"indicateur ordinal masculin"}},"category":"Lo"},{"key":"00BB","mappings":{"default":{"default":"guillemet chevron pointant droite"}},"category":"Pf"},{"key":"00BF","mappings":{"default":{"default":"point d'interrogation renversé"}},"category":"Po"},{"key":"00D7","mappings":{"default":{"default":"multiplié par"}},"category":"Sm"},{"key":"00F7","mappings":{"default":{"default":"divisé par"}},"category":"Sm"},{"key":"02D8","mappings":{"default":{"default":"brève"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"point en chef"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"rond en chef"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"double accent aigu"}},"category":"Sk"},{"key":"2010","mappings":{"default":{"default":"trait d'union"}},"category":"Pd"},{"category":"Pd","key":"2011","mappings":{"default":{"default":"trait d'union insécable"}}},{"category":"Pd","key":"2012","mappings":{"default":{"default":"tiret numérique"}}},{"key":"2013","mappings":{"default":{"default":"trait d'union insécable"}},"category":"Pd"},{"key":"2014","mappings":{"default":{"default":"tiret numérique"}},"category":"Pd"},{"key":"2015","mappings":{"default":{"default":"barre horizontalle"}},"category":"Pd"},{"key":"2016","mappings":{"default":{"default":"double ligne verticale"}},"category":"Po"},{"category":"Po","key":"2017","mappings":{"default":{"default":"double trait souscrit"}}},{"key":"2018","mappings":{"default":{"default":"guillemet apostrophe culbuté"}},"category":"Pi"},{"key":"2019","mappings":{"default":{"default":"guillemet apostrophe"}},"category":"Pf"},{"key":"201A","mappings":{"default":{"default":"guillemet virgule inférieur"}},"category":"Ps"},{"category":"Pi","key":"201B","mappings":{"default":{"default":"guillemet virgule supérieur culbuté"}}},{"key":"201C","mappings":{"default":{"default":"guillemet apostrophe double culbuté"}},"category":"Pi"},{"key":"201D","mappings":{"default":{"default":"guillemet apostrophe double"}},"category":"Pf"},{"key":"201E","mappings":{"default":{"default":"guillemet double prime"}},"category":"Ps"},{"category":"Pi","key":"201F","mappings":{"default":{"default":"guillemet virgule double supérieur culbuté"}}},{"key":"2020","mappings":{"default":{"default":"obèle"}},"category":"Po"},{"key":"2021","mappings":{"default":{"default":"double obèle"}},"category":"Po"},{"key":"2022","mappings":{"default":{"default":"puce"}},"category":"Po"},{"category":"Po","key":"2023","mappings":{"default":{"default":"puce triangulaire"}}},{"category":"Po","key":"2024","mappings":{"default":{"default":"point de conduite simple"}}},{"key":"2025","mappings":{"default":{"default":"point de conduite double"}},"category":"Po"},{"key":"2026","mappings":{"default":{"default":"points de suspension"}},"category":"Po"},{"category":"Po","key":"2027","mappings":{"default":{"default":"point de coupure de mot"}}},{"key":"2030","mappings":{"default":{"default":"symbole pour mille"}},"category":"Po"},{"key":"2031","mappings":{"default":{"default":"symbole pour dix mille"}},"category":"Po"},{"key":"2032","mappings":{"default":{"default":"prime"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"double prime"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"triple prime"}},"category":"Po"},{"key":"2035","mappings":{"default":{"default":"prime réfléchi"}},"category":"Po"},{"key":"2036","mappings":{"default":{"default":"double prime réfléchi"}},"category":"Po"},{"category":"Po","key":"2037","mappings":{"default":{"default":"triple prime réfléchi"}}},{"category":"Po","key":"2038","mappings":{"default":{"default":"chevron d'insertion"}}},{"key":"2039","mappings":{"default":{"default":"guillemet simple gauche"}},"category":"Pi"},{"key":"203A","mappings":{"default":{"default":"guillemet simple droite"}},"category":"Pf"},{"category":"Po","key":"203B","mappings":{"default":{"default":"marque de référence"}}},{"category":"Po","key":"203C","mappings":{"default":{"default":"double point d'exclamation"}}},{"category":"Po","key":"203D","mappings":{"default":{"default":"point exclarrogatif"}}},{"key":"203E","mappings":{"default":{"default":"tiret en chef"}},"category":"Po"},{"category":"Pc","key":"203F","mappings":{"default":{"default":"tirant souscrit"}}},{"key":"2040","mappings":{"default":{"default":"tirant en chef"}},"category":"Pc"},{"key":"2041","mappings":{"default":{"default":"lambda d'insertion"}},"category":"Po"},{"category":"Po","key":"2042","mappings":{"default":{"default":"astérisme"}}},{"key":"2043","mappings":{"default":{"default":"puce trait d'union"}},"category":"Po"},{"key":"2044","mappings":{"default":{"default":"barre de fraction"}},"category":"Sm"},{"category":"Po","key":"2047","mappings":{"default":{"default":"double point d'interrogation"}}},{"category":"Po","key":"2048","mappings":{"default":{"default":"point d'interrogation exclamation"}}},{"category":"Po","key":"2049","mappings":{"default":{"default":"point d'exclamation interrogation"}}},{"category":"Po","key":"204B","mappings":{"default":{"default":"pied de mouche réfléchi"}}},{"category":"Po","key":"204C","mappings":{"default":{"default":"puce noire tronquée à droite"}}},{"category":"Po","key":"204D","mappings":{"default":{"default":"puce noire tronquée à gauche"}}},{"category":"Po","key":"204E","mappings":{"default":{"default":"astérisque baissé"}}},{"key":"204F","mappings":{"default":{"default":"point virgule réfléchi"}},"category":"Po"},{"key":"2050","mappings":{"default":{"default":"resserrer"}},"category":"Po"},{"category":"Po","key":"2051","mappings":{"default":{"default":"deux astérisques alignés verticalement"}}},{"category":"Sm","key":"2052","mappings":{"default":{"default":"moins commercial"}}},{"category":"Po","key":"2053","mappings":{"default":{"default":"tiret ondé"}}},{"category":"Pc","key":"2054","mappings":{"default":{"default":"dos d'âne souscrit"}}},{"category":"Po","key":"2055","mappings":{"default":{"default":"point fleur"}}},{"category":"Po","key":"2056","mappings":{"default":{"default":"trois points"}}},{"key":"2057","mappings":{"default":{"default":"quadruple prime"}},"category":"Po"},{"category":"Po","key":"2058","mappings":{"default":{"default":"quatre points en losange"}}},{"category":"Po","key":"2059","mappings":{"default":{"default":"cinq points en quinconce"}}},{"category":"Po","key":"205A","mappings":{"default":{"default":"deux points en capitale"}}},{"category":"Po","key":"205B","mappings":{"default":{"default":"quatre points en croix"}}},{"category":"Po","key":"205C","mappings":{"default":{"default":"croix pointée"}}},{"category":"Po","key":"205D","mappings":{"default":{"default":"trois points vertical"}}},{"category":"Po","key":"205E","mappings":{"default":{"default":"quatre points vertical"}}},{"category":"Sm","key":"207A","mappings":{"default":{"default":"exposant signe plus"}}},{"category":"Sm","key":"207B","mappings":{"default":{"default":"exposant signe moins"}}},{"category":"Sm","key":"207C","mappings":{"default":{"default":"exposant signe égal"}}},{"category":"Ps","key":"207D","mappings":{"default":{"default":"exposant parenthèse gauche"}}},{"category":"Pe","key":"207E","mappings":{"default":{"default":"exposant parenthèse droite"}}},{"category":"Sm","key":"208A","mappings":{"default":{"default":"indice signe plus"}}},{"category":"Sm","key":"208B","mappings":{"default":{"default":"indice signe moins"}}},{"category":"Sm","key":"208C","mappings":{"default":{"default":"indice signe égal"}}},{"category":"Ps","key":"208D","mappings":{"default":{"default":"indice parenthèse gauche"}}},{"category":"Pe","key":"208E","mappings":{"default":{"default":"indice parenthèse droite"}}},{"category":"So","key":"214A","mappings":{"default":{"default":"limite de propriété"}}},{"category":"Sm","key":"214B","mappings":{"default":{"default":"perluète culbutée"}}},{"category":"So","key":"214C","mappings":{"default":{"default":"symbole per"}}},{"category":"So","key":"214D","mappings":{"default":{"default":"aktieselskab"}}},{"category":"Ll","key":"214E","mappings":{"default":{"default":"minuscule f culbuté"}}},{"key":"2200","mappings":{"default":{"default":"pour tous"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"complément"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"il existe"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"il n'existe pas"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"ensemble vide"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"incrément"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"appartient à"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"n'appartient pas à"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"appartient à"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"contient comme élément"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"ne contient pas comme élément"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"contient comme élément"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"ce qu'il fallait démontrer"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"produit"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"coproduit"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"sommation"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"moins"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"moins ou plus"}},"category":"Sm"},{"key":"2214","mappings":{"default":{"default":"plus pointé"}},"category":"Sm"},{"key":"2215","mappings":{"default":{"default":"division"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"différence d'ensembles"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"opérateur astérisque"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"opérateur rond"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"point médian"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"racine carrée"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"racine cubique"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"racine quatrième"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proportionnel à"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"infini"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"angle droit"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"angle"}},"category":"Sm"},{"key":"2221","mappings":{"default":{"default":"angle mesuré"}},"category":"Sm"},{"key":"2222","mappings":{"default":{"default":"angle sphérique"}},"category":"Sm"},{"key":"2223","mappings":{"default":{"default":"est un diviseur de"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"n'est pas un diviseur de"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"parallèle à"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"non parallèle à"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"et logique"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"ou logique"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"intersection"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"union"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"intégrale"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"intégrale double"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"intégrale triple"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"intégrale de contour"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"intégrale de surface"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"intégrale de volume"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"intégrale en sens négatif"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"intégrale de contour en sens négatif"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"intégrale de contour en sens positif"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"par conséquent"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"parce que"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"rapport"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"proportion"}},"category":"Sm"},{"key":"2238","mappings":{"default":{"default":"moins pointé"}},"category":"Sm"},{"key":"2239","mappings":{"default":{"default":"excès"}},"category":"Sm"},{"key":"223A","mappings":{"default":{"default":"proportion géométrique"}},"category":"Sm"},{"key":"223B","mappings":{"default":{"default":"homothétique"}},"category":"Sm"},{"key":"223C","mappings":{"default":{"default":"opérateur tilde"}},"category":"Sm"},{"key":"223D","mappings":{"default":{"default":"opérateur tilde renversé"}},"category":"Sm"},{"key":"223E","mappings":{"default":{"default":"s couché renversé"}},"category":"Sm"},{"key":"223F","mappings":{"default":{"default":"sinusoïde"}},"category":"Sm"},{"key":"2240","mappings":{"default":{"default":"produit couronne"}},"category":"Sm"},{"key":"2241","mappings":{"default":{"default":"non tilde"}},"category":"Sm"},{"key":"2242","mappings":{"default":{"default":"moins tilde"}},"category":"Sm"},{"key":"2243","mappings":{"default":{"default":"asymptotiquement égal à"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"non asymptotiquement égal à"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"approximativement égal à"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"approximativement mais non strictement égal à"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"ni approximativement ni strictement égal à"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"presque égal à"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"non presque égal à"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"presque égal ou égal à"}},"category":"Sm"},{"key":"224B","mappings":{"default":{"default":"triple tilde"}},"category":"Sm"},{"key":"224C","mappings":{"default":{"default":"entièrement égal à"}},"category":"Sm"},{"key":"224D","mappings":{"default":{"default":"équivalent à"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"géométriquement équivalent à"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"différence entre"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"tend vers la limite"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"géométriquement égal à"}},"category":"Sm"},{"key":"2252","mappings":{"default":{"default":"approximativement égal à ou image de"}},"category":"Sm"},{"key":"2253","mappings":{"default":{"default":"image de ou approximativement égal à"}},"category":"Sm"},{"key":"2254","mappings":{"default":{"default":"deux points égal"}},"category":"Sm"},{"key":"2255","mappings":{"default":{"default":"égal deux points"}},"category":"Sm"},{"key":"2256","mappings":{"default":{"default":"rond dans égal"}},"category":"Sm"},{"key":"2257","mappings":{"default":{"default":"égal avec rond en chef"}},"category":"Sm"},{"key":"2258","mappings":{"default":{"default":"correspond à"}},"category":"Sm"},{"key":"2259","mappings":{"default":{"default":"estime"}},"category":"Sm"},{"key":"225A","mappings":{"default":{"default":"équiangulaire à"}},"category":"Sm"},{"key":"225B","mappings":{"default":{"default":"égal avec étoile en chef"}},"category":"Sm"},{"key":"225C","mappings":{"default":{"default":"égal delta"}},"category":"Sm"},{"key":"225D","mappings":{"default":{"default":"égal par définition à"}},"category":"Sm"},{"key":"225E","mappings":{"default":{"default":"mesuré par"}},"category":"Sm"},{"key":"225F","mappings":{"default":{"default":"égalité en doute"}},"category":"Sm"},{"key":"2260","mappings":{"default":{"default":"pas égal à"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"identique à"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"non identique à"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"strictement équivalent à"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"plus petit ou égal à"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"plus grand ou égal à"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"plus petit que par dessus égal à"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"plus grand que par dessus égal à"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"plus petit mais pas égal à"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"plus grand mais pas égal à"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"beaucoup plus petit que"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"beaucoup plus grand que"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"entre"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"non équivalent à"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"pas plus petit que"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"pas plus grand que"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"ni plus petit ni égal à"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"ni plus grand ni égal à"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"plus petit ou équivalent à"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"plus grand ou équivalent à"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"ni plus petit ni équivalent à"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"ni plus grand ni équivalent à"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"plus petit ou plus grand que"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"plus grand ou plus petit que"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"ni plus petit ni plus grand que"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"ni plus grand ni plus petit que"}},"category":"Sm"},{"key":"227A","mappings":{"default":{"default":"précède"}},"category":"Sm"},{"key":"227B","mappings":{"default":{"default":"suit"}},"category":"Sm"},{"key":"227C","mappings":{"default":{"default":"précède ou est égal à"}},"category":"Sm"},{"key":"227D","mappings":{"default":{"default":"suit ou est égal à"}},"category":"Sm"},{"key":"227E","mappings":{"default":{"default":"précède ou est équivalent à"}},"category":"Sm"},{"key":"227F","mappings":{"default":{"default":"suit ou est équivalent à"}},"category":"Sm"},{"key":"2280","mappings":{"default":{"default":"ne précède pas"}},"category":"Sm"},{"key":"2281","mappings":{"default":{"default":"ne suit pas"}},"category":"Sm"},{"key":"2282","mappings":{"default":{"default":"sous ensemble de"}},"category":"Sm"},{"key":"2283","mappings":{"default":{"default":"sur ensemble de"}},"category":"Sm"},{"key":"2284","mappings":{"default":{"default":"pas un sous ensemble de"}},"category":"Sm"},{"key":"2285","mappings":{"default":{"default":"pas un sur ensemble de"}},"category":"Sm"},{"key":"2286","mappings":{"default":{"default":"sous ensemble ou égal à"}},"category":"Sm"},{"key":"2287","mappings":{"default":{"default":"sur ensemble ou égal à"}},"category":"Sm"},{"key":"2288","mappings":{"default":{"default":"ni un sous ensemble ni égal à"}},"category":"Sm"},{"key":"2289","mappings":{"default":{"default":"ni un sur ensemble ni égal à"}},"category":"Sm"},{"key":"228A","mappings":{"default":{"default":"sous ensemble mais pas égal à"}},"category":"Sm"},{"key":"228B","mappings":{"default":{"default":"sur ensemble mais pas égal à"}},"category":"Sm"},{"key":"228C","mappings":{"default":{"default":"multiensemble"}},"category":"Sm"},{"key":"228D","mappings":{"default":{"default":"multiplication de multiensemble"}},"category":"Sm"},{"key":"228E","mappings":{"default":{"default":"union de multiensemble"}},"category":"Sm"},{"key":"228F","mappings":{"default":{"default":"image carrée de"}},"category":"Sm"},{"key":"2290","mappings":{"default":{"default":"original carré de"}},"category":"Sm"},{"key":"2291","mappings":{"default":{"default":"image carrée ou égal à"}},"category":"Sm"},{"key":"2292","mappings":{"default":{"default":"original carré ou égal à"}},"category":"Sm"},{"key":"2293","mappings":{"default":{"default":"chapeau carré"}},"category":"Sm"},{"key":"2294","mappings":{"default":{"default":"coupe carrée"}},"category":"Sm"},{"key":"2295","mappings":{"default":{"default":"plus cerclé"}},"category":"Sm"},{"key":"2296","mappings":{"default":{"default":"moins cerclé"}},"category":"Sm"},{"key":"2297","mappings":{"default":{"default":"multiplié par cerclé"}},"category":"Sm"},{"key":"2298","mappings":{"default":{"default":"barre oblique de division cerclée"}},"category":"Sm"},{"key":"2299","mappings":{"default":{"default":"opérateur point cerclé"}},"category":"Sm"},{"key":"229A","mappings":{"default":{"default":"opérateur rond cerclé"}},"category":"Sm"},{"key":"229B","mappings":{"default":{"default":"opérateur astérisque cerclé"}},"category":"Sm"},{"key":"229C","mappings":{"default":{"default":"égal cerclé"}},"category":"Sm"},{"key":"229D","mappings":{"default":{"default":"tiret cerclé"}},"category":"Sm"},{"key":"229E","mappings":{"default":{"default":"plus encadré"}},"category":"Sm"},{"key":"229F","mappings":{"default":{"default":"moins encadré"}},"category":"Sm"},{"key":"22A0","mappings":{"default":{"default":"multiplié par encadré"}},"category":"Sm"},{"key":"22A1","mappings":{"default":{"default":"opérateur point encadré"}},"category":"Sm"},{"key":"22A2","mappings":{"default":{"default":"taquet droit"}},"category":"Sm"},{"key":"22A3","mappings":{"default":{"default":"taquet gauche"}},"category":"Sm"},{"key":"22A4","mappings":{"default":{"default":"taquet vers le bas"}},"category":"Sm"},{"key":"22A5","mappings":{"default":{"default":"taquet vers le haut"}},"category":"Sm"},{"key":"22A6","mappings":{"default":{"default":"assertion"}},"category":"Sm"},{"key":"22A7","mappings":{"default":{"default":"modélise"}},"category":"Sm"},{"key":"22A8","mappings":{"default":{"default":"vrai"}},"category":"Sm"},{"key":"22A9","mappings":{"default":{"default":"oblige"}},"category":"Sm"},{"key":"22AA","mappings":{"default":{"default":"barre verticale triple avec tourniquet à droite"}},"category":"Sm"},{"key":"22AB","mappings":{"default":{"default":"barre verticale double avec tourniquet à droite double"}},"category":"Sm"},{"key":"22AC","mappings":{"default":{"default":"ne prouve pas"}},"category":"Sm"},{"key":"22AD","mappings":{"default":{"default":"pas vrai"}},"category":"Sm"},{"key":"22AE","mappings":{"default":{"default":"n'oblige pas"}},"category":"Sm"},{"key":"22AF","mappings":{"default":{"default":"non barre verticale double avec tourniquet à droite double"}},"category":"Sm"},{"key":"22B0","mappings":{"default":{"default":"précède sous relation"}},"category":"Sm"},{"key":"22B1","mappings":{"default":{"default":"suit sous relation"}},"category":"Sm"},{"key":"22B2","mappings":{"default":{"default":"sous groupe normal de"}},"category":"Sm"},{"key":"22B3","mappings":{"default":{"default":"contient comme sous groupe normal"}},"category":"Sm"},{"key":"22B4","mappings":{"default":{"default":"sous groupe normal ou égal à"}},"category":"Sm"},{"key":"22B5","mappings":{"default":{"default":"contient comme sous groupe normal ou égal à"}},"category":"Sm"},{"key":"22B6","mappings":{"default":{"default":"original de"}},"category":"Sm"},{"key":"22B7","mappings":{"default":{"default":"image de"}},"category":"Sm"},{"key":"22B8","mappings":{"default":{"default":"multijection"}},"category":"Sm"},{"key":"22B9","mappings":{"default":{"default":"matrice hermitienne conjuguée"}},"category":"Sm"},{"key":"22BA","mappings":{"default":{"default":"intercale"}},"category":"Sm"},{"key":"22BB","mappings":{"default":{"default":"ou exclusif"}},"category":"Sm"},{"key":"22BC","mappings":{"default":{"default":"non et"}},"category":"Sm"},{"key":"22BD","mappings":{"default":{"default":"non ou"}},"category":"Sm"},{"key":"22BF","mappings":{"default":{"default":"triangle rectangle"}},"category":"Sm"},{"key":"22C0","mappings":{"default":{"default":"et logique de la famille"}},"category":"Sm"},{"key":"22C1","mappings":{"default":{"default":"ou logique de la famille"}},"category":"Sm"},{"key":"22C2","mappings":{"default":{"default":"intersection de la famille"}},"category":"Sm"},{"key":"22C3","mappings":{"default":{"default":"réunion de la famille"}},"category":"Sm"},{"key":"22C4","mappings":{"default":{"default":"opérateur losange"}},"category":"Sm"},{"key":"22C5","mappings":{"default":{"default":"opérateur point"}},"category":"Sm"},{"key":"22C6","mappings":{"default":{"default":"opérateur étoile"}},"category":"Sm"},{"key":"22C7","mappings":{"default":{"default":"divisé multiplié"}},"category":"Sm"},{"key":"22C8","mappings":{"default":{"default":"nœud papillon"}},"category":"Sm"},{"key":"22C9","mappings":{"default":{"default":"produit semi direct à gauche de facteur normal"}},"category":"Sm"},{"key":"22CA","mappings":{"default":{"default":"produit semi direct à droite de facteur normal"}},"category":"Sm"},{"key":"22CB","mappings":{"default":{"default":"produit semi direct à gauche"}},"category":"Sm"},{"key":"22CC","mappings":{"default":{"default":"produit semi direct à droite"}},"category":"Sm"},{"key":"22CD","mappings":{"default":{"default":"moins tilde renversé"}},"category":"Sm"},{"key":"22CE","mappings":{"default":{"default":"ou logique recourbé"}},"category":"Sm"},{"key":"22CF","mappings":{"default":{"default":"et logique recourbé"}},"category":"Sm"},{"key":"22D0","mappings":{"default":{"default":"sous ensemble double"}},"category":"Sm"},{"key":"22D1","mappings":{"default":{"default":"sur ensemble double"}},"category":"Sm"},{"key":"22D2","mappings":{"default":{"default":"intersection double"}},"category":"Sm"},{"key":"22D3","mappings":{"default":{"default":"union double"}},"category":"Sm"},{"key":"22D4","mappings":{"default":{"default":"fourche"}},"category":"Sm"},{"key":"22D5","mappings":{"default":{"default":"égal et parallèle à"}},"category":"Sm"},{"key":"22D6","mappings":{"default":{"default":"plus petit que pointé"}},"category":"Sm"},{"key":"22D7","mappings":{"default":{"default":"plus grand que pointé"}},"category":"Sm"},{"key":"22D8","mappings":{"default":{"default":"considérablement plus petit que"}},"category":"Sm"},{"key":"22D9","mappings":{"default":{"default":"considérablement plus grand que"}},"category":"Sm"},{"key":"22DA","mappings":{"default":{"default":"plus petit ou égal ou plus grand que"}},"category":"Sm"},{"key":"22DB","mappings":{"default":{"default":"plus grand ou égal ou plus petit que"}},"category":"Sm"},{"key":"22DC","mappings":{"default":{"default":"égal ou plus petit que"}},"category":"Sm"},{"key":"22DD","mappings":{"default":{"default":"égal à deux lignes ou supérieur à"}},"category":"Sm"},{"key":"22DE","mappings":{"default":{"default":"égal ou précède"}},"category":"Sm"},{"key":"22DF","mappings":{"default":{"default":"égal ou suit"}},"category":"Sm"},{"key":"22E0","mappings":{"default":{"default":"ni précédant ni égal à"}},"category":"Sm"},{"key":"22E1","mappings":{"default":{"default":"ni suivant ni égal à"}},"category":"Sm"},{"key":"22E2","mappings":{"default":{"default":"ni image carrée ni égal à"}},"category":"Sm"},{"key":"22E3","mappings":{"default":{"default":"ni original carré ni égal à"}},"category":"Sm"},{"key":"22E4","mappings":{"default":{"default":"image carré ou différent de"}},"category":"Sm"},{"key":"22E5","mappings":{"default":{"default":"original carré ou différent de"}},"category":"Sm"},{"key":"22E6","mappings":{"default":{"default":"plus petit mais non équivalent à"}},"category":"Sm"},{"key":"22E7","mappings":{"default":{"default":"plus grand mais non équivalent à"}},"category":"Sm"},{"key":"22E8","mappings":{"default":{"default":"précédant mais non équivalent à"}},"category":"Sm"},{"key":"22E9","mappings":{"default":{"default":"suivant mais non équivalent à"}},"category":"Sm"},{"key":"22EA","mappings":{"default":{"default":"pas un sous groupe normal de"}},"category":"Sm"},{"key":"22EB","mappings":{"default":{"default":"ne contient pas comme sous groupe normal"}},"category":"Sm"},{"key":"22EC","mappings":{"default":{"default":"ni sous groupe normal ni égal à"}},"category":"Sm"},{"key":"22ED","mappings":{"default":{"default":"ni égal ni contenant comme sous  groupe normal"}},"category":"Sm"},{"key":"22EE","mappings":{"default":{"default":"trois points suspendus"}},"category":"Sm"},{"key":"22EF","mappings":{"default":{"default":"trois points médians"}},"category":"Sm"},{"key":"22F0","mappings":{"default":{"default":"trois points diagonaux vers le coin haut à droite"}},"category":"Sm"},{"key":"22F1","mappings":{"default":{"default":"trois points diagonaux vers le coin bas à droite"}},"category":"Sm"},{"key":"22F2","mappings":{"default":{"default":"appartient à avec long trait horizontal"}},"category":"Sm"},{"key":"22F3","mappings":{"default":{"default":"appartient à avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22F4","mappings":{"default":{"default":"petit appartient à avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22F5","mappings":{"default":{"default":"appartient à avec point en chef"}},"category":"Sm"},{"key":"22F6","mappings":{"default":{"default":"appartient à avec trait en chef"}},"category":"Sm"},{"key":"22F7","mappings":{"default":{"default":"petit appartient à avec trait en chef"}},"category":"Sm"},{"key":"22F8","mappings":{"default":{"default":"appartient à avec trait souscrit"}},"category":"Sm"},{"key":"22F9","mappings":{"default":{"default":"appartient à avec deux traits horizontaux"}},"category":"Sm"},{"key":"22FA","mappings":{"default":{"default":"contient avec long trait horizontal"}},"category":"Sm"},{"key":"22FB","mappings":{"default":{"default":"contient avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22FC","mappings":{"default":{"default":"petit contient avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22FD","mappings":{"default":{"default":"contient avec trait en chef"}},"category":"Sm"},{"key":"22FE","mappings":{"default":{"default":"petit contient avec trait en chef"}},"category":"Sm"},{"key":"22FF","mappings":{"default":{"default":"appartient à un sac en notation z"}},"category":"Sm"},{"key":"2300","mappings":{"default":{"default":"diamètre"}},"category":"So"},{"key":"2302","mappings":{"default":{"default":"maison"}},"category":"So"},{"key":"2305","mappings":{"default":{"default":"projective"}},"category":"So"},{"key":"2306","mappings":{"default":{"default":"perspective"}},"category":"So"},{"category":"So","key":"2307","mappings":{"default":{"default":"ligne ondulée"}}},{"key":"2310","mappings":{"default":{"default":"négation réfléchi"}},"category":"So"},{"category":"So","key":"2311","mappings":{"default":{"default":"pastille carrée"}}},{"key":"2312","mappings":{"default":{"default":"arc"}},"category":"So"},{"key":"2313","mappings":{"default":{"default":"segment"}},"category":"So"},{"category":"So","key":"2314","mappings":{"default":{"default":"secteur"}}},{"category":"So","key":"2795","mappings":{"default":{"default":"plus gras"}}},{"category":"So","key":"2796","mappings":{"default":{"default":"moins gras"}}},{"category":"So","key":"2797","mappings":{"default":{"default":"division gras"}}},{"category":"So","key":"27B0","mappings":{"default":{"default":"boucle recourbée"}}},{"category":"So","key":"27BF","mappings":{"default":{"default":"double boucle recourbée"}}},{"key":"27C1","mappings":{"default":{"default":"petit triangle blanc inscrit dans triangle blanc"}},"category":"Sm"},{"key":"27C2","mappings":{"default":{"default":"perpendiculaire à"}},"category":"Sm"},{"key":"27C3","mappings":{"default":{"default":"sous ensemble ouvert"}},"category":"Sm"},{"key":"27C4","mappings":{"default":{"default":"sur ensemble ouvert"}},"category":"Sm"},{"key":"27C7","mappings":{"default":{"default":"ou avec point inscrit"}},"category":"Sm"},{"key":"27C8","mappings":{"default":{"default":"sous ensemble précédé d'une barre oblique inversée"}},"category":"Sm"},{"key":"27C9","mappings":{"default":{"default":"sur ensemble suivi d'une barre oblique"}},"category":"Sm"},{"key":"27CA","mappings":{"default":{"default":"barre verticale À une traverse"}},"category":"Sm"},{"category":"Sm","key":"27CB","mappings":{"default":{"default":"diagonale mathématique ascendante"}}},{"key":"27CC","mappings":{"default":{"default":"grande division"}},"category":"Sm"},{"category":"Sm","key":"27CD","mappings":{"default":{"default":"diagonale mathématique descendante"}}},{"category":"Sm","key":"27CE","mappings":{"default":{"default":"et logique encadré"}}},{"category":"Sm","key":"27CF","mappings":{"default":{"default":"ou logique encadré"}}},{"category":"Sm","key":"27D0","mappings":{"default":{"default":"losange blanc à point centré"}}},{"key":"27D1","mappings":{"default":{"default":"et pointé"}},"category":"Sm"},{"key":"27D2","mappings":{"default":{"default":"appartient À ouvert vers le haut"}},"category":"Sm"},{"key":"27D3","mappings":{"default":{"default":"coin inférieur droit pointé"}},"category":"Sm"},{"key":"27D4","mappings":{"default":{"default":"coin supérieur gauche pointé"}},"category":"Sm"},{"key":"27D5","mappings":{"default":{"default":"jointure externe gauche"}},"category":"Sm"},{"key":"27D6","mappings":{"default":{"default":"jointure externe droite"}},"category":"Sm"},{"key":"27D7","mappings":{"default":{"default":"jointure externe complète"}},"category":"Sm"},{"key":"27D8","mappings":{"default":{"default":"grand taquet vers le haut"}},"category":"Sm"},{"key":"27D9","mappings":{"default":{"default":"grand taquet vers le bas"}},"category":"Sm"},{"key":"27DA","mappings":{"default":{"default":"double tourniquet bilatéral"}},"category":"Sm"},{"key":"27DB","mappings":{"default":{"default":"tourniquet bilatéral"}},"category":"Sm"},{"key":"27DC","mappings":{"default":{"default":"multijection gauche"}},"category":"Sm"},{"key":"27DD","mappings":{"default":{"default":"long taquet droit"}},"category":"Sm"},{"key":"27DE","mappings":{"default":{"default":"long taquet gauche"}},"category":"Sm"},{"key":"27DF","mappings":{"default":{"default":"taquet vers le haut surmonté d'un cercle"}},"category":"Sm"},{"key":"27E0","mappings":{"default":{"default":"losange coupé"}},"category":"Sm"},{"key":"27E1","mappings":{"default":{"default":"losange concave blanc"}},"category":"Sm"},{"key":"27E2","mappings":{"default":{"default":"losange concave blanc avec trait à gauche"}},"category":"Sm"},{"key":"27E3","mappings":{"default":{"default":"losange concave blanc avec trait à droite"}},"category":"Sm"},{"key":"27E4","mappings":{"default":{"default":"carré blanc avec trait à gauche"}},"category":"Sm"},{"key":"27E5","mappings":{"default":{"default":"carré blanc avec trait à droite"}},"category":"Sm"},{"category":"Sm","key":"292B","mappings":{"default":{"default":"diagonale montante sur diagonale descendante"}}},{"category":"Sm","key":"292C","mappings":{"default":{"default":"diagonale descendante sur diagonale montante"}}},{"category":"Sm","key":"2980","mappings":{"default":{"default":"délimiteur triple barre verticale"}}},{"category":"Sm","key":"2981","mappings":{"default":{"default":"boulet"}}},{"category":"Sm","key":"2982","mappings":{"default":{"default":"deux points de la notation z"}}},{"category":"Sm","key":"2999","mappings":{"default":{"default":"clôture pointillée"}}},{"key":"299A","mappings":{"default":{"default":"ligne verticale en zigzag"}},"category":"Sm"},{"key":"29B0","mappings":{"default":{"default":"ensemble vide réfléchi"}},"category":"Sm"},{"key":"29B1","mappings":{"default":{"default":"ensemble vide barre en chef"}},"category":"Sm"},{"key":"29B2","mappings":{"default":{"default":"ensemble vide petit cercle en chef"}},"category":"Sm"},{"key":"29B5","mappings":{"default":{"default":"cercle à barre horizontale"}},"category":"Sm"},{"key":"29B6","mappings":{"default":{"default":"barre verticale cerclée"}},"category":"Sm"},{"key":"29B7","mappings":{"default":{"default":"parallèles cerclées"}},"category":"Sm"},{"category":"Sm","key":"29B8","mappings":{"default":{"default":"barre oblique inversée cerclée"}}},{"key":"29B9","mappings":{"default":{"default":"perpendiculaire cerclé"}},"category":"Sm"},{"category":"Sm","key":"29BA","mappings":{"default":{"default":"cercle divisé par une barre horizontale et une barre verticale dans la moitié supérieure"}}},{"key":"29BB","mappings":{"default":{"default":"cercle superposé d'un x"}},"category":"Sm"},{"key":"29BC","mappings":{"default":{"default":"division pivoté en sens antihoraire cerclé"}},"category":"Sm"},{"key":"29BE","mappings":{"default":{"default":"puce blanche cerclée"}},"category":"Sm"},{"key":"29BF","mappings":{"default":{"default":"puce cerclée"}},"category":"Sm"},{"key":"29C0","mappings":{"default":{"default":"inférieur à cerclé"}},"category":"Sm"},{"key":"29C1","mappings":{"default":{"default":"supérieur à cerclé"}},"category":"Sm"},{"key":"29C2","mappings":{"default":{"default":"cercle avec petit cercle à droite"}},"category":"Sm"},{"key":"29C3","mappings":{"default":{"default":"cercle avec deux petits traits horizontaux à droite"}},"category":"Sm"},{"key":"29C4","mappings":{"default":{"default":"oblique encadrée"}},"category":"Sm"},{"key":"29C5","mappings":{"default":{"default":"oblique inversée encadrée"}},"category":"Sm"},{"category":"Sm","key":"29C6","mappings":{"default":{"default":"astérisque encadré"}}},{"category":"Sm","key":"29C7","mappings":{"default":{"default":"petite cercle encadré"}}},{"category":"Sm","key":"29C8","mappings":{"default":{"default":"carré encadré"}}},{"key":"29C9","mappings":{"default":{"default":"carrés se chevauchant"}},"category":"Sm"},{"category":"Sm","key":"29CA","mappings":{"default":{"default":"triangle pointé en chef"}}},{"category":"Sm","key":"29CB","mappings":{"default":{"default":"triangle à barre souscrite"}}},{"category":"Sm","key":"29CC","mappings":{"default":{"default":"s inscrit dans triangle"}}},{"key":"29CD","mappings":{"default":{"default":"triangle à empattements inférieurs"}},"category":"Sm"},{"key":"29CE","mappings":{"default":{"default":"triangle droit par dessus triangle gauche"}},"category":"Sm"},{"key":"29CF","mappings":{"default":{"default":"triangle gauche à gauche d'une barre verticale"}},"category":"Sm"},{"key":"29D0","mappings":{"default":{"default":"triangle droit à droite d'une barre verticale"}},"category":"Sm"},{"category":"Sm","key":"29D1","mappings":{"default":{"default":"nœud papillon à aile gauche noire"}}},{"category":"Sm","key":"29D2","mappings":{"default":{"default":"nœud papillon à aile droite noire"}}},{"category":"Sm","key":"29D3","mappings":{"default":{"default":"nœud papillon noir"}}},{"category":"Sm","key":"29D4","mappings":{"default":{"default":"multiplication à moitié gauche noircie"}}},{"category":"Sm","key":"29D5","mappings":{"default":{"default":"multiplication à moitié droite noircie"}}},{"category":"Sm","key":"29D6","mappings":{"default":{"default":"sablier blanc"}}},{"category":"Sm","key":"29D7","mappings":{"default":{"default":"sablier noir"}}},{"key":"29DC","mappings":{"default":{"default":"infini incomplet"}},"category":"Sm"},{"category":"Sm","key":"29DD","mappings":{"default":{"default":"lorgnon"}}},{"key":"29DE","mappings":{"default":{"default":"infini nié par une barre verticale"}},"category":"Sm"},{"category":"Sm","key":"29DF","mappings":{"default":{"default":"multijection à deux têtes"}}},{"category":"Sm","key":"29E0","mappings":{"default":{"default":"carré ombré"}}},{"category":"Sm","key":"29E1","mappings":{"default":{"default":"augmente avec"}}},{"category":"Sm","key":"29E2","mappings":{"default":{"default":"produit de permutation"}}},{"key":"29E3","mappings":{"default":{"default":"égale à et parallèle à incliné"}},"category":"Sm"},{"key":"29E4","mappings":{"default":{"default":"égale à et parallèle à incliné surmontés d'un tilde"}},"category":"Sm"},{"key":"29E5","mappings":{"default":{"default":"identique à et parallèle à incliné"}},"category":"Sm"},{"category":"Sm","key":"29E6","mappings":{"default":{"default":"gleich stark"}}},{"category":"Sm","key":"29E7","mappings":{"default":{"default":"thermodynamique"}}},{"category":"Sm","key":"29E8","mappings":{"default":{"default":"triangle pointe vers le bas à moitié gauche noire"}}},{"category":"Sm","key":"29E9","mappings":{"default":{"default":"triangle pointe vers le bas à moitié droite noire"}}},{"key":"29EB","mappings":{"default":{"default":"losange fuselé noir"}},"category":"Sm"},{"category":"Sm","key":"29EE","mappings":{"default":{"default":"barre d'erreur à carré blanc"}}},{"category":"Sm","key":"29EF","mappings":{"default":{"default":"barre d'erreur à carré noir"}}},{"category":"Sm","key":"29F0","mappings":{"default":{"default":"barre d'erreur à losange blanc"}}},{"category":"Sm","key":"29F1","mappings":{"default":{"default":"barre d'erreur à losange noir"}}},{"category":"Sm","key":"29F2","mappings":{"default":{"default":"barre d'erreur à cercle blanc"}}},{"category":"Sm","key":"29F3","mappings":{"default":{"default":"barre d'erreur à cercle noir"}}},{"key":"29F4","mappings":{"default":{"default":"règle différée"}},"category":"Sm"},{"category":"Sm","key":"29F5","mappings":{"default":{"default":"opérateur barre oblique inversée"}}},{"key":"29F6","mappings":{"default":{"default":"barre oblique avec barre en chef"}},"category":"Sm"},{"category":"Sm","key":"29F7","mappings":{"default":{"default":"barre oblique inversée à traverse horizontale"}}},{"category":"Sm","key":"29F8","mappings":{"default":{"default":"grande barre oblique"}}},{"category":"Sm","key":"29F9","mappings":{"default":{"default":"grande barre oblique inversée"}}},{"category":"Sm","key":"29FA","mappings":{"default":{"default":"double plus"}}},{"category":"Sm","key":"29FB","mappings":{"default":{"default":"triple plus"}}},{"category":"Sm","key":"29FE","mappings":{"default":{"default":"tiny"}}},{"category":"Sm","key":"29FF","mappings":{"default":{"default":"miny"}}},{"category":"Sm","key":"2A00","mappings":{"default":{"default":"opérateur point cerclé n aire"}}},{"category":"Sm","key":"2A01","mappings":{"default":{"default":"opérateur plus cerclé n aire"}}},{"category":"Sm","key":"2A02","mappings":{"default":{"default":"opérateur multiplié par cerclé n aire"}}},{"category":"Sm","key":"2A03","mappings":{"default":{"default":"opérateur union n aire pointé"}}},{"category":"Sm","key":"2A04","mappings":{"default":{"default":"opérateur union n aire avec plus"}}},{"category":"Sm","key":"2A05","mappings":{"default":{"default":"opérateur intersection carré n aire"}}},{"category":"Sm","key":"2A06","mappings":{"default":{"default":"opérateur union carré n aire"}}},{"category":"Sm","key":"2A07","mappings":{"default":{"default":"opérateur deux et logiques"}}},{"category":"Sm","key":"2A08","mappings":{"default":{"default":"opérateur deux ou logiques"}}},{"category":"Sm","key":"2A09","mappings":{"default":{"default":"opérateur multiplié par n aire"}}},{"category":"Sm","key":"2A0A","mappings":{"default":{"default":"sommation modulo deux"}}},{"category":"Sm","key":"2A0B","mappings":{"default":{"default":"sommation avec intégrale"}}},{"key":"2A0C","mappings":{"default":{"default":"intégrale quadruple"}},"category":"Sm"},{"key":"2A0D","mappings":{"default":{"default":"intégrale à partie finie"}},"category":"Sm"},{"category":"Sm","key":"2A0E","mappings":{"default":{"default":"intégrale à deux barres horizontales"}}},{"category":"Sm","key":"2A0F","mappings":{"default":{"default":"moyenne d'intégrale à barre oblique inversée"}}},{"key":"2A10","mappings":{"default":{"default":"fonction de circulation"}},"category":"Sm"},{"key":"2A11","mappings":{"default":{"default":"intégrale en sens positif"}},"category":"Sm"},{"key":"2A12","mappings":{"default":{"default":"intégrale de ligne à chemin rectangulaire autour du pôle"}},"category":"Sm"},{"key":"2A13","mappings":{"default":{"default":"intégrale de ligne à chemin semi circulaire autour du pôle"}},"category":"Sm"},{"key":"2A14","mappings":{"default":{"default":"intégrale de ligne évitant le pôle"}},"category":"Sm"},{"key":"2A15","mappings":{"default":{"default":"intégrale autour d'un opérateur point"}},"category":"Sm"},{"key":"2A16","mappings":{"default":{"default":"intégrale quaternion"}},"category":"Sm"},{"category":"Sm","key":"2A18","mappings":{"default":{"default":"intégrale au signe multiplié par"}}},{"category":"Sm","key":"2A19","mappings":{"default":{"default":"intégrale à signe intersection"}}},{"category":"Sm","key":"2A1A","mappings":{"default":{"default":"intégrale à signe union"}}},{"category":"Sm","key":"2A1B","mappings":{"default":{"default":"intégrale à barre en chef"}}},{"category":"Sm","key":"2A1C","mappings":{"default":{"default":"intégrale à barre souscrite"}}},{"category":"Sm","key":"2A1D","mappings":{"default":{"default":"jointure"}}},{"category":"Sm","key":"2A1E","mappings":{"default":{"default":"gros opérateur triangle gauche"}}},{"category":"Sm","key":"2A1F","mappings":{"default":{"default":"composition de schémas en notation z"}}},{"category":"Sm","key":"2A20","mappings":{"default":{"default":"tubage de schémas en notation z"}}},{"category":"Sm","key":"2A21","mappings":{"default":{"default":"projection de schémas en notation z"}}},{"key":"2A22","mappings":{"default":{"default":"plus surmonté d'un petit cercle"}},"category":"Sm"},{"key":"2A23","mappings":{"default":{"default":"plus surmonté d'un circonflexe"}},"category":"Sm"},{"key":"2A24","mappings":{"default":{"default":"plus surmonté d'un tilde"}},"category":"Sm"},{"key":"2A25","mappings":{"default":{"default":"plus à point souscrit"}},"category":"Sm"},{"key":"2A26","mappings":{"default":{"default":"plus à tilde souscrit"}},"category":"Sm"},{"key":"2A27","mappings":{"default":{"default":"plus à chiffre deux souscrit"}},"category":"Sm"},{"category":"Sm","key":"2A28","mappings":{"default":{"default":"plus à triangle noir"}}},{"key":"2A29","mappings":{"default":{"default":"moins surmonté d'une virgule"}},"category":"Sm"},{"key":"2A2A","mappings":{"default":{"default":"moins à point souscrit"}},"category":"Sm"},{"category":"Sm","key":"2A2B","mappings":{"default":{"default":"moins à points descendants"}}},{"category":"Sm","key":"2A2C","mappings":{"default":{"default":"moins à points ascendants"}}},{"key":"2A2D","mappings":{"default":{"default":"plus dans demi cercle gauche"}},"category":"Sm"},{"key":"2A2E","mappings":{"default":{"default":"plus dans demi cercle droit"}},"category":"Sm"},{"key":"2A2F","mappings":{"default":{"default":"produit vectoriel"}},"category":"Sm"},{"key":"2A30","mappings":{"default":{"default":"multiplication à point en chef"}},"category":"Sm"},{"key":"2A31","mappings":{"default":{"default":"multiplication à barre souscrite"}},"category":"Sm"},{"category":"Sm","key":"2A32","mappings":{"default":{"default":"produit semi direct fermé en bas"}}},{"key":"2A33","mappings":{"default":{"default":"produit fusionné"}},"category":"Sm"},{"key":"2A34","mappings":{"default":{"default":"multiplication dans demi cercle gauche"}},"category":"Sm"},{"key":"2A35","mappings":{"default":{"default":"multiplication dans demi cercle droit"}},"category":"Sm"},{"key":"2A36","mappings":{"default":{"default":"multiplication cerclé circonflexe"}},"category":"Sm"},{"key":"2A37","mappings":{"default":{"default":"multiplication doublement cerclé"}},"category":"Sm"},{"key":"2A38","mappings":{"default":{"default":"division cerclé"}},"category":"Sm"},{"key":"2A39","mappings":{"default":{"default":"plus dans triangle"}},"category":"Sm"},{"key":"2A3A","mappings":{"default":{"default":"moins dans triangle"}},"category":"Sm"},{"key":"2A3B","mappings":{"default":{"default":"multiplication dans triangle"}},"category":"Sm"},{"key":"2A3C","mappings":{"default":{"default":"produit interieur"}},"category":"Sm"},{"category":"Sm","key":"2A3D","mappings":{"default":{"default":"produit intérieur à droite"}}},{"category":"Sm","key":"2A3E","mappings":{"default":{"default":"composition relationnelle en notation z"}}},{"key":"2A3F","mappings":{"default":{"default":"amalgamation ou coproduit"}},"category":"Sm"},{"key":"2A40","mappings":{"default":{"default":"intersection pointée"}},"category":"Sm"},{"category":"Sm","key":"2A41","mappings":{"default":{"default":"union à signe moins"}}},{"key":"2A42","mappings":{"default":{"default":"union à barre en chef"}},"category":"Sm"},{"key":"2A43","mappings":{"default":{"default":"intersection à barre en chef"}},"category":"Sm"},{"key":"2A44","mappings":{"default":{"default":"intersection avec et logique"}},"category":"Sm"},{"key":"2A45","mappings":{"default":{"default":"union avec ou logique"}},"category":"Sm"},{"key":"2A46","mappings":{"default":{"default":"union par dessus intersection"}},"category":"Sm"},{"key":"2A47","mappings":{"default":{"default":"intersection par dessus union"}},"category":"Sm"},{"key":"2A48","mappings":{"default":{"default":"union par dessus bar par dessus intersection"}},"category":"Sm"},{"key":"2A49","mappings":{"default":{"default":"intersection par dessus trait par dessus union"}},"category":"Sm"},{"key":"2A4A","mappings":{"default":{"default":"deux unions soudées côte à côte"}},"category":"Sm"},{"key":"2A4B","mappings":{"default":{"default":"deux intersections soudées côte à côte"}},"category":"Sm"},{"key":"2A4C","mappings":{"default":{"default":"union fermée à empattements"}},"category":"Sm"},{"key":"2A4D","mappings":{"default":{"default":"intersection fermée à empattements"}},"category":"Sm"},{"category":"Sm","key":"2A4E","mappings":{"default":{"default":"deux intersections carrées emboîtées"}}},{"category":"Sm","key":"2A4F","mappings":{"default":{"default":"deux unions carrées emboîtées"}}},{"key":"2A50","mappings":{"default":{"default":"union fermée à empattements et produit fusionné"}},"category":"Sm"},{"category":"Sm","key":"2A51","mappings":{"default":{"default":"et logique à point en chef"}}},{"category":"Sm","key":"2A52","mappings":{"default":{"default":"ou logique à point en chef"}}},{"key":"2A53","mappings":{"default":{"default":"double et logique"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"double ou logique"}},"category":"Sm"},{"key":"2A55","mappings":{"default":{"default":"deux et logiques entrecroisés"}},"category":"Sm"},{"key":"2A56","mappings":{"default":{"default":"deux ou logiques entrecroisés"}},"category":"Sm"},{"key":"2A57","mappings":{"default":{"default":"grand ou pentu"}},"category":"Sm"},{"key":"2A58","mappings":{"default":{"default":"grand et pentu"}},"category":"Sm"},{"category":"Sm","key":"2A59","mappings":{"default":{"default":"et et ou logiques entrecroisés"}}},{"key":"2A5A","mappings":{"default":{"default":"et logique à hampe médiane"}},"category":"Sm"},{"key":"2A5B","mappings":{"default":{"default":"ou logique à hampe médiane"}},"category":"Sm"},{"key":"2A5C","mappings":{"default":{"default":"et logique à tiret horizontal"}},"category":"Sm"},{"key":"2A5D","mappings":{"default":{"default":"ou logique à tiret horizontal"}},"category":"Sm"},{"category":"Sm","key":"2A5E","mappings":{"default":{"default":"et logique à deux barres en chef"}}},{"key":"2A5F","mappings":{"default":{"default":"et logique à barre souscrite"}},"category":"Sm"},{"category":"Sm","key":"2A60","mappings":{"default":{"default":"et logique à deux barres souscrites"}}},{"category":"Sm","key":"2A61","mappings":{"default":{"default":"petit v à barre souscrite"}}},{"category":"Sm","key":"2A62","mappings":{"default":{"default":"ou logique à deux barres en chef"}}},{"category":"Sm","key":"2A63","mappings":{"default":{"default":"ou logique à deux barres souscrites"}}},{"category":"Sm","key":"2A64","mappings":{"default":{"default":"antirestriction de domaine en notation z"}}},{"category":"Sm","key":"2A65","mappings":{"default":{"default":"antirestriction de codomaine en notation z"}}},{"key":"2A66","mappings":{"default":{"default":"égal point souscrit"}},"category":"Sm"},{"category":"Sm","key":"2A67","mappings":{"default":{"default":"identique à surmonté d'un point"}}},{"category":"Sm","key":"2A68","mappings":{"default":{"default":"deux barres verticales à trois traverses"}}},{"category":"Sm","key":"2A69","mappings":{"default":{"default":"trois barres verticales à trois traverses"}}},{"key":"2A6A","mappings":{"default":{"default":"opérateur tilde point en chef"}},"category":"Sm"},{"category":"Sm","key":"2A6B","mappings":{"default":{"default":"opérateur tilde à points ascendants"}}},{"category":"Sm","key":"2A6C","mappings":{"default":{"default":"similaire à moins similaire à"}}},{"key":"2A6D","mappings":{"default":{"default":"congruent point en chef"}},"category":"Sm"},{"category":"Sm","key":"2A6E","mappings":{"default":{"default":"Égal astérisque en chef"}}},{"key":"2A6F","mappings":{"default":{"default":"presque égal à circonflexe"}},"category":"Sm"},{"category":"Sm","key":"2A70","mappings":{"default":{"default":"approximativement égal à ou égal à"}}},{"key":"2A71","mappings":{"default":{"default":"plus signe égal en chef"}},"category":"Sm"},{"key":"2A72","mappings":{"default":{"default":"égal à signe plus en chef"}},"category":"Sm"},{"key":"2A73","mappings":{"default":{"default":"tilde signe égal en chef"}},"category":"Sm"},{"key":"2A74","mappings":{"default":{"default":"double deux points égal à"}},"category":"Sm"},{"key":"2A75","mappings":{"default":{"default":"deux signes égal à consécutifs"}},"category":"Sm"},{"category":"Sm","key":"2A76","mappings":{"default":{"default":"trois signes égal à consécutifs"}}},{"key":"2A77","mappings":{"default":{"default":"égal à deux points en chef deux points souscrits"}},"category":"Sm"},{"key":"2A78","mappings":{"default":{"default":"équivalent quatre points en chef"}},"category":"Sm"},{"key":"2A79","mappings":{"default":{"default":"inférieur à avec cercle inscrit"}},"category":"Sm"},{"key":"2A7A","mappings":{"default":{"default":"supérieur à avec cercle inscrit"}},"category":"Sm"},{"key":"2A7B","mappings":{"default":{"default":"inférieur à point d'interrogation en chef"}},"category":"Sm"},{"key":"2A7C","mappings":{"default":{"default":"supérieur à point d'interrogation en chef"}},"category":"Sm"},{"key":"2A7D","mappings":{"default":{"default":"plus petit ou égal à pentu"}},"category":"Sm"},{"key":"2A7E","mappings":{"default":{"default":"supérieur à ou égal à pentu"}},"category":"Sm"},{"key":"2A7F","mappings":{"default":{"default":"inférieur à ou égal à pentu point inscrit"}},"category":"Sm"},{"key":"2A80","mappings":{"default":{"default":"supérieur à ou égal à pentu point inscrit"}},"category":"Sm"},{"key":"2A81","mappings":{"default":{"default":"inférieur à ou égal à pentu point en chef"}},"category":"Sm"},{"key":"2A82","mappings":{"default":{"default":"supérieur à ou égal à pentu point en chef"}},"category":"Sm"},{"key":"2A83","mappings":{"default":{"default":"inférieur à ou égal à pentu point en chef droit"}},"category":"Sm"},{"key":"2A84","mappings":{"default":{"default":"supérieur à ou égal à pentu point en chef gauche"}},"category":"Sm"},{"category":"Sm","key":"2A85","mappings":{"default":{"default":"inférieur à ou approximatif"}}},{"category":"Sm","key":"2A86","mappings":{"default":{"default":"supérieur à ou approximatif"}}},{"category":"Sm","key":"2A87","mappings":{"default":{"default":"inférieur à et pas égal à une ligne"}}},{"category":"Sm","key":"2A88","mappings":{"default":{"default":"supérieur à et pas égal à une ligne"}}},{"key":"2A89","mappings":{"default":{"default":"inférieur à et non approximatif"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"supérieur à et non approximatif"}},"category":"Sm"},{"category":"Sm","key":"2A8B","mappings":{"default":{"default":"inférieur à par dessus égal à deux lignes par dessus supérieur à"}}},{"category":"Sm","key":"2A8C","mappings":{"default":{"default":"supérieur à par dessus égal à deux lignes par dessus inférieur à"}}},{"key":"2A8D","mappings":{"default":{"default":"inférieur à par dessus similaire à ou égal à"}},"category":"Sm"},{"key":"2A8E","mappings":{"default":{"default":"supérieur à par dessus similaire à ou égal à"}},"category":"Sm"},{"key":"2A8F","mappings":{"default":{"default":"inférieur à par dessus similaire à par dessus supérieur à"}},"category":"Sm"},{"key":"2A90","mappings":{"default":{"default":"supérieur à par dessus similaire à par dessus inférieur à"}},"category":"Sm"},{"key":"2A91","mappings":{"default":{"default":"inférieur à par dessus supérieur à par dessus égal à deux lignes"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"supérieur à par dessus inférieur à par dessus égal à deux lignes"}},"category":"Sm"},{"key":"2A93","mappings":{"default":{"default":"inférieur à par dessus égal à pentu par dessus supérieur à par dessus égal à pentu"}},"category":"Sm"},{"key":"2A94","mappings":{"default":{"default":"supérieur à par dessus égal à pentu par dessus inférieur à par dessus égal à pentu"}},"category":"Sm"},{"category":"Sm","key":"2A95","mappings":{"default":{"default":"Égal à incliné ou inférieur à"}}},{"category":"Sm","key":"2A96","mappings":{"default":{"default":"Égal à incliné ou supérieur à"}}},{"key":"2A97","mappings":{"default":{"default":"égal à pentu ou inférieur à point inscrit"}},"category":"Sm"},{"key":"2A98","mappings":{"default":{"default":"égal à pentu ou supérieur à point inscrit"}},"category":"Sm"},{"key":"2A99","mappings":{"default":{"default":"égal à deux lignes ou inférieur à"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"égal à deux lignes ou supérieur à"}},"category":"Sm"},{"category":"Sm","key":"2A9B","mappings":{"default":{"default":"inférieur à ou égal à à deux lignes inclinées"}}},{"category":"Sm","key":"2A9C","mappings":{"default":{"default":"supérieur à ou égal à à deux lignes inclinées"}}},{"key":"2A9D","mappings":{"default":{"default":"similaire à ou inférieur à"}},"category":"Sm"},{"key":"2A9E","mappings":{"default":{"default":"similaire à ou supérieur à"}},"category":"Sm"},{"key":"2A9F","mappings":{"default":{"default":"similaire à par dessus inférieur à par dessus signe égal"}},"category":"Sm"},{"key":"2AA0","mappings":{"default":{"default":"similaire à par dessus supérieur à par dessus signe égal"}},"category":"Sm"},{"key":"2AA1","mappings":{"default":{"default":"deux inférieur à emboîtés"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"deux supérieur à emboîtés"}},"category":"Sm"},{"category":"Sm","key":"2AA3","mappings":{"default":{"default":"deux inférieur à emboîtés avec barre souscrite"}}},{"key":"2AA4","mappings":{"default":{"default":"deux supérieur à entrecroisés"}},"category":"Sm"},{"key":"2AA5","mappings":{"default":{"default":"supérieur à à côté de inférieur à"}},"category":"Sm"},{"key":"2AA6","mappings":{"default":{"default":"inférieur à fermé d'un arc"}},"category":"Sm"},{"key":"2AA7","mappings":{"default":{"default":"supérieur à fermé d'un arc"}},"category":"Sm"},{"key":"2AA8","mappings":{"default":{"default":"inférieur à fermé d'un arc par dessus égal à pentu"}},"category":"Sm"},{"key":"2AA9","mappings":{"default":{"default":"supérieur à fermé d'un arc par dessus égal à pentu"}},"category":"Sm"},{"key":"2AAA","mappings":{"default":{"default":"plus petit que en fourche"}},"category":"Sm"},{"key":"2AAB","mappings":{"default":{"default":"plus grand que en fourche"}},"category":"Sm"},{"key":"2AAC","mappings":{"default":{"default":"plus petit ou égal que en fourche"}},"category":"Sm"},{"key":"2AAD","mappings":{"default":{"default":"plus grand ou égal que en fourche"}},"category":"Sm"},{"key":"2AAE","mappings":{"default":{"default":"égal et dos d'âne"}},"category":"Sm"},{"key":"2AAF","mappings":{"default":{"default":"précède par dessus signe égal à une ligne"}},"category":"Sm"},{"category":"Sm","key":"2AB0","mappings":{"default":{"default":"suit par dessus signe égal à une ligne"}}},{"category":"Sm","key":"2AB1","mappings":{"default":{"default":"précède par dessus pas égal à une ligne"}}},{"category":"Sm","key":"2AB2","mappings":{"default":{"default":"suit par dessus pas égal à une ligne"}}},{"category":"Sm","key":"2AB3","mappings":{"default":{"default":"précède par dessus signe égal"}}},{"category":"Sm","key":"2AB4","mappings":{"default":{"default":"suit par dessus signe égal"}}},{"key":"2AB5","mappings":{"default":{"default":"précède par dessus pas égal à"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"suit par dessus pas égal à"}},"category":"Sm"},{"category":"Sm","key":"2AB7","mappings":{"default":{"default":"précède par dessus presque égal à"}}},{"category":"Sm","key":"2AB8","mappings":{"default":{"default":"suit par dessus presque égal à"}}},{"category":"Sm","key":"2AB9","mappings":{"default":{"default":"précède par dessus non presque égal à"}}},{"category":"Sm","key":"2ABA","mappings":{"default":{"default":"suit par dessus non presque égal à"}}},{"key":"2ABB","mappings":{"default":{"default":"double précède"}},"category":"Sm"},{"key":"2ABC","mappings":{"default":{"default":"double suit"}},"category":"Sm"},{"key":"2ABD","mappings":{"default":{"default":"sous ensemble pointé"}},"category":"Sm"},{"key":"2ABE","mappings":{"default":{"default":"sur ensemble pointé"}},"category":"Sm"},{"key":"2ABF","mappings":{"default":{"default":"sous ensemble plus souscrit"}},"category":"Sm"},{"key":"2AC0","mappings":{"default":{"default":"sur ensemble plus souscrit"}},"category":"Sm"},{"key":"2AC1","mappings":{"default":{"default":"sous ensemble à signe de multiplication souscrit"}},"category":"Sm"},{"key":"2AC2","mappings":{"default":{"default":"sur ensemble à signe de multiplication souscrit"}},"category":"Sm"},{"key":"2AC3","mappings":{"default":{"default":"sous ensemble de ou égal à point en chef"}},"category":"Sm"},{"key":"2AC4","mappings":{"default":{"default":"sur ensemble de ou égal à point en chef"}},"category":"Sm"},{"category":"Sm","key":"2AC5","mappings":{"default":{"default":"sous ensemble de par dessus signe égal"}}},{"category":"Sm","key":"2AC6","mappings":{"default":{"default":"sur ensemble de par dessus signe égal"}}},{"key":"2AC7","mappings":{"default":{"default":"sous ensemble de par dessus opérateur tilde"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"sur ensemble de par dessus opérateur tilde"}},"category":"Sm"},{"category":"Sm","key":"2AC9","mappings":{"default":{"default":"sous ensemble de par dessus presque égal à"}}},{"category":"Sm","key":"2ACA","mappings":{"default":{"default":"sur ensemble de par dessus presque égal à"}}},{"category":"Sm","key":"2ACB","mappings":{"default":{"default":"sous ensemble de par dessus pas égal à"}}},{"category":"Sm","key":"2ACC","mappings":{"default":{"default":"sur ensemble de par dessus pas égal à"}}},{"category":"Sm","key":"2ACD","mappings":{"default":{"default":"opérateur boîte carrée ouverte gauche"}}},{"category":"Sm","key":"2ACE","mappings":{"default":{"default":"opérateur boîte carrée ouverte droite"}}},{"key":"2ACF","mappings":{"default":{"default":"sous ensemble clos"}},"category":"Sm"},{"key":"2AD0","mappings":{"default":{"default":"sur ensemble clos"}},"category":"Sm"},{"key":"2AD1","mappings":{"default":{"default":"sous ensemble clos ou égal à"}},"category":"Sm"},{"key":"2AD2","mappings":{"default":{"default":"sur ensemble clos ou égal à"}},"category":"Sm"},{"key":"2AD3","mappings":{"default":{"default":"sous ensemble par dessus sur ensemble"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"sur ensemble par dessus sous ensemble"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"sous ensemble par dessus sous ensemble"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"sur ensemble par dessus sur ensemble"}},"category":"Sm"},{"key":"2AD7","mappings":{"default":{"default":"sur ensemble à côté de sous ensemble"}},"category":"Sm"},{"key":"2AD8","mappings":{"default":{"default":"sur ensemble chaîné à sous ensemble"}},"category":"Sm"},{"key":"2AD9","mappings":{"default":{"default":"appartient à ouvert vers le bas"}},"category":"Sm"},{"key":"2ADA","mappings":{"default":{"default":"fourche surmontée d'un t"}},"category":"Sm"},{"key":"2ADB","mappings":{"default":{"default":"intersection transversale"}},"category":"Sm"},{"category":"Sm","key":"2ADC","mappings":{"default":{"default":"bifurcation (non indépendant)"}}},{"category":"Sm","key":"2ADD","mappings":{"default":{"default":"non bifurcation (indépendant)"}}},{"category":"Sm","key":"2ADE","mappings":{"default":{"default":"taquet gauche court"}}},{"category":"Sm","key":"2ADF","mappings":{"default":{"default":"taquet court vers le bas"}}},{"category":"Sm","key":"2AE0","mappings":{"default":{"default":"taquet court vers le haut"}}},{"category":"Sm","key":"2AE1","mappings":{"default":{"default":"perpendiculaire à s"}}},{"category":"Sm","key":"2AE2","mappings":{"default":{"default":"triple tourniquet droit à barre verticale"}}},{"category":"Sm","key":"2AE3","mappings":{"default":{"default":"tourniquet gauche à double barre verticale"}}},{"key":"2AE4","mappings":{"default":{"default":"double tourniquet gauche à barre verticale"}},"category":"Sm"},{"category":"Sm","key":"2AE5","mappings":{"default":{"default":"double tourniquet gauche à double barre verticale"}}},{"key":"2AE6","mappings":{"default":{"default":"double barre verticale gauche à traverse"}},"category":"Sm"},{"key":"2AE7","mappings":{"default":{"default":"taquet court vers le bas avec barre en chef"}},"category":"Sm"},{"key":"2AE8","mappings":{"default":{"default":"taquet court vers le haut avec barre souscrite"}},"category":"Sm"},{"key":"2AE9","mappings":{"default":{"default":"taquet court vers le haut par dessus taquet court vers le bas"}},"category":"Sm"},{"category":"Sm","key":"2AEA","mappings":{"default":{"default":"double taquet vers le bas"}}},{"key":"2AEB","mappings":{"default":{"default":"double taquet vers le haut"}},"category":"Sm"},{"key":"2AEC","mappings":{"default":{"default":"négation à deux traits"}},"category":"Sm"},{"key":"2AED","mappings":{"default":{"default":"négation à deux traits réfléchi"}},"category":"Sm"},{"key":"2AEE","mappings":{"default":{"default":"n'est pas un diviseur de à barre de négation réfléchie"}},"category":"Sm"},{"key":"2AEF","mappings":{"default":{"default":"ligne verticale cercle en chef"}},"category":"Sm"},{"key":"2AF0","mappings":{"default":{"default":"ligne verticale cercle souscrit"}},"category":"Sm"},{"key":"2AF1","mappings":{"default":{"default":"taquet vers le bas surmontant un cercle"}},"category":"Sm"},{"key":"2AF2","mappings":{"default":{"default":"parallèlle à vertical à une traverse"}},"category":"Sm"},{"key":"2AF3","mappings":{"default":{"default":"parallèle à avec opérateur tilde"}},"category":"Sm"},{"category":"Sm","key":"2AF4","mappings":{"default":{"default":"relation binaire triple barre verticale"}}},{"category":"Sm","key":"2AF5","mappings":{"default":{"default":"triple barre verticale à une traverse"}}},{"category":"Sm","key":"2AF6","mappings":{"default":{"default":"opérateur trois points"}}},{"category":"Sm","key":"2AF7","mappings":{"default":{"default":"trois inférieur à emboîtés"}}},{"category":"Sm","key":"2AF8","mappings":{"default":{"default":"trois supérieur à emboîtés"}}},{"category":"Sm","key":"2AF9","mappings":{"default":{"default":"inférieur à ou égal à et deux lignes inclinées"}}},{"category":"Sm","key":"2AFA","mappings":{"default":{"default":"supérieur à ou égal à et deux lignes inclinées"}}},{"category":"Sm","key":"2AFB","mappings":{"default":{"default":"relation binaire triple oblique"}}},{"category":"Sm","key":"2AFC","mappings":{"default":{"default":"grand opérateur à trois barres verticales"}}},{"category":"Sm","key":"2AFD","mappings":{"default":{"default":"opérateur double oblique"}}},{"category":"Sm","key":"2AFE","mappings":{"default":{"default":"barre verticale blanche"}}},{"category":"Sm","key":"2AFF","mappings":{"default":{"default":"barre verticale blanche n aire"}}},{"category":"Pd","key":"301C","mappings":{"default":{"default":"trait d'union en esse"}}},{"category":"Po","key":"FE10","mappings":{"default":{"default":"forme de présentation de virgule verticale"}}},{"category":"Po","key":"FE13","mappings":{"default":{"default":"forme de présentation de deux points vertical"}}},{"category":"Po","key":"FE14","mappings":{"default":{"default":"forme de présentation de point virgule vertical"}}},{"category":"Po","key":"FE15","mappings":{"default":{"default":"forme de présentation de point d'exclamation vertical"}}},{"category":"Po","key":"FE16","mappings":{"default":{"default":"forme de présentation de point d'interrogation vertical"}}},{"category":"Po","key":"FE19","mappings":{"default":{"default":"forme de présentation de points de suspension verticaux"}}},{"category":"Po","key":"FE30","mappings":{"default":{"default":"forme de présentation de point de conduite double vertical"}}},{"category":"Pd","key":"FE31","mappings":{"default":{"default":"forme de présentation de tiret cadratin vertical"}}},{"category":"Pd","key":"FE32","mappings":{"default":{"default":"forme de présentation de tiret demi cadratin vertical"}}},{"category":"Pc","key":"FE33","mappings":{"default":{"default":"forme de présentation de tiret bas vertical"}}},{"category":"Pc","key":"FE34","mappings":{"default":{"default":"forme de présentation de tiret bas ondulé vertical"}}},{"category":"Po","key":"FE45","mappings":{"default":{"default":"point sésame"}}},{"category":"Po","key":"FE46","mappings":{"default":{"default":"point sésame ajouré"}}},{"category":"Po","key":"FE49","mappings":{"default":{"default":"tiret haut en pointillés"}}},{"category":"Po","key":"FE4A","mappings":{"default":{"default":"tiret haut à point central"}}},{"category":"Po","key":"FE4B","mappings":{"default":{"default":"tiret haut ondulé"}}},{"category":"Po","key":"FE4C","mappings":{"default":{"default":"tiret haut double ondulé"}}},{"category":"Pc","key":"FE4D","mappings":{"default":{"default":"tiret bas avec pointillés"}}},{"category":"Pc","key":"FE4E","mappings":{"default":{"default":"tiret bas à point central"}}},{"category":"Pc","key":"FE4F","mappings":{"default":{"default":"tiret bas ondulé"}}},{"category":"Po","key":"FE50","mappings":{"default":{"default":"virgule minuscule"}}},{"category":"Po","key":"FE52","mappings":{"default":{"default":"point minuscule"}}},{"category":"Po","key":"FE54","mappings":{"default":{"default":"point virgule minuscule"}}},{"category":"Po","key":"FE55","mappings":{"default":{"default":"deux points minuscule"}}},{"category":"Po","key":"FE56","mappings":{"default":{"default":"point d'interrogation minuscule"}}},{"category":"Po","key":"FE57","mappings":{"default":{"default":"point d'exclamation minuscule"}}},{"category":"Pd","key":"FE58","mappings":{"default":{"default":"trait d'union cadratin minuscule"}}},{"category":"Po","key":"FE5F","mappings":{"default":{"default":"croisillon minuscule"}}},{"category":"Po","key":"FE60","mappings":{"default":{"default":"perluète minuscule"}}},{"category":"Po","key":"FE61","mappings":{"default":{"default":"astérisque minuscule"}}},{"category":"Sm","key":"FE62","mappings":{"default":{"default":"plus minuscule"}}},{"category":"Pd","key":"FE63","mappings":{"default":{"default":"tiret minuscule"}}},{"category":"Sm","key":"FE64","mappings":{"default":{"default":"inférieur à minuscule"}}},{"category":"Sm","key":"FE65","mappings":{"default":{"default":"supérieur à minuscule"}}},{"category":"Sm","key":"FE66","mappings":{"default":{"default":"égal à minuscule"}}},{"key":"FE68","mappings":{"default":{"default":"integer divide"}},"category":"Po"},{"category":"Sc","key":"FE69","mappings":{"default":{"default":"symbole dollar minuscule"}}},{"category":"Po","key":"FE6A","mappings":{"default":{"default":"symbole pour cent minuscule"}}},{"category":"Po","key":"FE6B","mappings":{"default":{"default":"arrobe minuscule"}}},{"category":"Po","key":"FF01","mappings":{"default":{"default":"point d'exclamation"}}},{"category":"Po","key":"FF02","mappings":{"default":{"default":"guillemet"}}},{"category":"Po","key":"FF03","mappings":{"default":{"default":"croisillon"}}},{"category":"Sc","key":"FF04","mappings":{"default":{"default":"symbole dollar"}}},{"category":"Po","key":"FF05","mappings":{"default":{"default":"symbole pour cent"}}},{"category":"Po","key":"FF06","mappings":{"default":{"default":"perluète"}}},{"category":"Po","key":"FF07","mappings":{"default":{"default":"apostrophe"}}},{"category":"Po","key":"FF0A","mappings":{"default":{"default":"astérisque"}}},{"category":"Sm","key":"FF0B","mappings":{"default":{"default":"plus"}}},{"category":"Po","key":"FF0C","mappings":{"default":{"default":"virgule"}}},{"category":"Pd","key":"FF0D","mappings":{"default":{"default":"tiret"}}},{"category":"Po","key":"FF0E","mappings":{"default":{"default":"point"}}},{"category":"Po","key":"FF0F","mappings":{"default":{"default":"barre oblique"}}},{"category":"Po","key":"FF1A","mappings":{"default":{"default":"deux points colon"}}},{"category":"Po","key":"FF1B","mappings":{"default":{"default":"point virgule"}}},{"category":"Sm","key":"FF1C","mappings":{"default":{"default":"inférieur à"}}},{"category":"Sm","key":"FF1D","mappings":{"default":{"default":"égal à"}}},{"category":"Sm","key":"FF1E","mappings":{"default":{"default":"supérieur à"}}},{"category":"Po","key":"FF1F","mappings":{"default":{"default":"point d'interrogation"}}},{"category":"Po","key":"FF20","mappings":{"default":{"default":"arrobe"}}},{"category":"Po","key":"FF3C","mappings":{"default":{"default":"barre oblique inversée"}}},{"category":"Sk","key":"FF3E","mappings":{"default":{"default":"accent circonflexe"}}},{"category":"Pc","key":"FF3F","mappings":{"default":{"default":"tiret bas"}}},{"category":"Sk","key":"FF40","mappings":{"default":{"default":"accent grave"}}},{"category":"Sm","key":"FF5C","mappings":{"default":{"default":"barre verticale"}}},{"category":"Sm","key":"FF5E","mappings":{"default":{"default":"tilde"}}},{"category":"Sc","key":"FFE0","mappings":{"default":{"default":"symbole centime"}}},{"category":"Sc","key":"FFE1","mappings":{"default":{"default":"symbole livre"}}},{"category":"Sm","key":"FFE2","mappings":{"default":{"default":"négation"}}},{"category":"Sk","key":"FFE3","mappings":{"default":{"default":"macron *"}}},{"category":"So","key":"FFE4","mappings":{"default":{"default":"ligne brisée"}}},{"category":"Sc","key":"FFE5","mappings":{"default":{"default":"symbole yen"}}},{"category":"Sc","key":"FFE6","mappings":{"default":{"default":"symbole won"}}},{"category":"So","key":"FFE8","mappings":{"default":{"default":"ligne verticale mince"}}},{"category":"So","key":"FFED","mappings":{"default":{"default":"carré noir"}}},{"category":"So","key":"FFEE","mappings":{"default":{"default":"cercle blanc"}}}]
+,
+"fr/symbols/math_whitespace.js": 
+[{"locale":"fr"},{"category":"Zs","key":"0020","mappings":{"default":{"default":"espace"}}},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"trait d'union conditionnel"}},"category":"Cf"},{"category":"Zs","key":"2000","mappings":{"default":{"default":"demi cadratin"}}},{"category":"Zs","key":"2001","mappings":{"default":{"default":"cadratin"}}},{"key":"2002","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2004","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2005","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Zs","key":"2006","mappings":{"default":{"default":"sixième de cadratin"}}},{"key":"2007","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2008","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"200C","mappings":{"default":{"default":"antiliant sans chasse"}},"category":"Cf"},{"key":"200D","mappings":{"default":{"default":"liant sans chasse"}},"category":"Cf"},{"key":"200E","mappings":{"default":{"default":"marque gauche à droite"}},"category":"Cf"},{"key":"200F","mappings":{"default":{"default":"marque droite à gauche"}},"category":"Cf"},{"category":"Zl","key":"2028","mappings":{"default":{"default":"séparateur de lignes"}}},{"category":"Zp","key":"2029","mappings":{"default":{"default":"séparateur de paragraphes"}}},{"category":"Cf","key":"202A","mappings":{"default":{"default":"enchâssement gauche à droite"}}},{"category":"Cf","key":"202B","mappings":{"default":{"default":"enchâssement droite à gauche"}}},{"category":"Cf","key":"202C","mappings":{"default":{"default":"dépilement de formatage directionnel"}}},{"category":"Cf","key":"202D","mappings":{"default":{"default":"forçage gauche à droite"}}},{"category":"Cf","key":"202E","mappings":{"default":{"default":"forçage droite à gauche"}}},{"category":"Zs","key":"202F","mappings":{"default":{"default":"espace insécable étroite"}}},{"key":"205F","mappings":{"default":{"default":"espace moyenne mathématique"}},"category":"Zs"},{"key":"2060","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"2061","mappings":{"default":{"default":"de"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":" "}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"2064","mappings":{"default":{"default":"plus invisible"}}},{"category":"Cf","key":"206A","mappings":{"default":{"default":"inhibiteur d'échange symétrique"}}},{"category":"Cf","key":"206B","mappings":{"default":{"default":"activateur d'échange symétrique"}}},{"category":"Cf","key":"206E","mappings":{"default":{"default":"sélecteur de formes numérales nationales"}}},{"category":"Cf","key":"206F","mappings":{"default":{"default":"sélecteur de formes numérales de référence"}}},{"key":"FEFF","mappings":{"default":{"default":"espace ultrafine"}},"category":"Cf"},{"category":"Cf","key":"FFF9","mappings":{"default":{"default":"ancre d'annotation interlinéaire"}}},{"category":"Cf","key":"FFFA","mappings":{"default":{"default":"séparateur d'annotation interlinéaire"}}},{"category":"Cf","key":"FFFB","mappings":{"default":{"default":"terminateur d'annotation interlinéaire"}}}]
+,
+"fr/symbols/other_stars.js": 
+[{"locale":"fr"},{"category":"So","key":"23E8","mappings":{"default":{"default":"symbole exposant décimal"}}},{"key":"2605","mappings":{"default":{"default":"étoile noire"}},"category":"So"},{"key":"2606","mappings":{"default":{"default":"étoile blanche"}},"category":"So"},{"category":"So","key":"26AA","mappings":{"default":{"default":"cercle moyen blanc"}}},{"category":"So","key":"26AB","mappings":{"default":{"default":"cercle moyen noir"}}},{"category":"So","key":"2705","mappings":{"default":{"default":"signe de vérification blanc gras"}}},{"key":"2713","mappings":{"default":{"default":"signe de vérification"}},"category":"So"},{"category":"So","key":"2714","mappings":{"default":{"default":"gros signe de vérification"}}},{"category":"So","key":"2715","mappings":{"default":{"default":"x de multiplication"}}},{"category":"So","key":"2716","mappings":{"default":{"default":"gros x de multiplication"}}},{"key":"2717","mappings":{"default":{"default":"x de bulletin de vote"}},"category":"So"},{"category":"So","key":"2718","mappings":{"default":{"default":"gros x de bulletin de vote"}}},{"category":"So","key":"271B","mappings":{"default":{"default":"croix percée d'un carré"}}},{"category":"So","key":"271C","mappings":{"default":{"default":"grosse croix percée d'un carré"}}},{"key":"2720","mappings":{"default":{"default":"croix de malte"}},"category":"So"},{"category":"So","key":"2721","mappings":{"default":{"default":"Étoile de david"}}},{"category":"So","key":"2722","mappings":{"default":{"default":"croix larmée"}}},{"category":"So","key":"2723","mappings":{"default":{"default":"croix pommetée"}}},{"category":"So","key":"2724","mappings":{"default":{"default":"grosse croix pommetée"}}},{"category":"So","key":"2725","mappings":{"default":{"default":"croix tréflée"}}},{"category":"So","key":"2726","mappings":{"default":{"default":"Étoile noire à quatre branches"}}},{"category":"So","key":"2727","mappings":{"default":{"default":"Étoile blanche à quatre branches"}}},{"category":"So","key":"2728","mappings":{"default":{"default":"scintillements"}}},{"category":"So","key":"2729","mappings":{"default":{"default":"Étoile blanche à contour accentué"}}},{"category":"So","key":"272A","mappings":{"default":{"default":"Étoile blanche cerclée"}}},{"category":"So","key":"272B","mappings":{"default":{"default":"molette noire"}}},{"category":"So","key":"272C","mappings":{"default":{"default":"molette blanche"}}},{"category":"So","key":"272D","mappings":{"default":{"default":"Étoile noire avec contour"}}},{"category":"So","key":"272E","mappings":{"default":{"default":"Étoile noire avec gros contour"}}},{"category":"So","key":"272F","mappings":{"default":{"default":"Étoile rayonnante"}}},{"category":"So","key":"2730","mappings":{"default":{"default":"Étoile blanche ombrée"}}},{"category":"So","key":"2731","mappings":{"default":{"default":"gros astérisque"}}},{"category":"So","key":"2732","mappings":{"default":{"default":"astérisque percé"}}},{"category":"So","key":"2733","mappings":{"default":{"default":"astérisque à huit branches"}}},{"category":"So","key":"2734","mappings":{"default":{"default":"Étoile noire à huit branches"}}},{"category":"So","key":"2735","mappings":{"default":{"default":"Étoile rayonnante à huit branches"}}},{"key":"2736","mappings":{"default":{"default":"étoile noire à six branches"}},"category":"So"},{"category":"So","key":"2739","mappings":{"default":{"default":"Étoile noire à douze branches"}}},{"category":"So","key":"273A","mappings":{"default":{"default":"astérisque à seize branches"}}},{"category":"So","key":"273B","mappings":{"default":{"default":"astérisque larmé"}}},{"category":"So","key":"273C","mappings":{"default":{"default":"astérisque larmé percé"}}},{"key":"273D","mappings":{"default":{"default":"gros astérisque larmé"}},"category":"So"},{"category":"So","key":"273E","mappings":{"default":{"default":"sixtefeuille blanche et noire"}}},{"category":"So","key":"273F","mappings":{"default":{"default":"quintefeuille noire"}}},{"category":"So","key":"2740","mappings":{"default":{"default":"quintefeuille blanche"}}},{"category":"So","key":"2741","mappings":{"default":{"default":"double quartefeuille noire avec contour"}}},{"category":"So","key":"2742","mappings":{"default":{"default":"Étoile cerclée percée à huit branches"}}},{"category":"So","key":"2743","mappings":{"default":{"default":"gros astérisque rayonnant larmé"}}},{"category":"So","key":"2744","mappings":{"default":{"default":"flocon de neige"}}},{"category":"So","key":"2745","mappings":{"default":{"default":"flocon de neige à trois folioles transpercé"}}},{"category":"So","key":"2746","mappings":{"default":{"default":"gros flocon de neige à chevrons"}}},{"category":"So","key":"2747","mappings":{"default":{"default":"Étincellement"}}},{"category":"So","key":"2748","mappings":{"default":{"default":"gros étincellement"}}},{"category":"So","key":"2749","mappings":{"default":{"default":"astérisque pommeté"}}},{"category":"So","key":"274A","mappings":{"default":{"default":"astérisque hélice à huit branches larmées"}}},{"category":"So","key":"274B","mappings":{"default":{"default":"gros astérisque hélice à huit branches larmées"}}},{"category":"So","key":"274C","mappings":{"default":{"default":"croix grasse"}}},{"category":"So","key":"274D","mappings":{"default":{"default":"cercle blanc ombré"}}}]
+,
+"fr/units/energy.js": 
+[{"locale":"fr"},{"key":"W","mappings":{"default":{"default":"watts","singular":"watt","dual":""}},"category":"energy","names":["W","w"]},{"key":"J","mappings":{"default":{"default":"joules","singular":"joule","dual":""}},"category":"energy","names":["J"]},{"key":"N","mappings":{"default":{"default":"newtons","singular":"newton","dual":""}},"category":"energy","names":["N"]},{"key":"A","mappings":{"default":{"default":"ampères","singular":"ampère","dual":""}},"category":"energy","names":["A"]},{"key":"V","mappings":{"default":{"default":"volts","singular":"volt","dual":""}},"category":"energy","names":["V"]},{"key":"Ω","mappings":{"default":{"default":"ohms","singular":"ohm","dual":""}},"category":"energy","names":["Ω","Ohm"]}]
+,
+"fr/units/length.js": 
+[{"locale":"fr"},{"key":"m","mappings":{"default":{"default":"mètres","singular":"mètre","dual":""}},"category":"Length","names":["m"]},{"key":"ft","mappings":{"default":{"default":"pieds","singular":"pied","dual":""}},"category":"Length","names":["ft","ft."]},{"key":"in","mappings":{"default":{"default":"pouces","singular":"pouce","dual":""}},"category":"Length","names":["in","in."]},{"key":"mi","mappings":{"default":{"default":"miles","singular":"mile","dual":""}},"category":"Length","names":["mi","mi."]},{"key":"yd","mappings":{"default":{"default":"yards","singular":"yard","dual":""}},"category":"Length","names":["yd","yd."]}]
+,
+"fr/units/memory.js": 
+[{"locale":"fr"}]
+,
+"fr/units/other.js": 
+[{"locale":"fr"}]
+,
+"fr/units/speed.js": 
+[{"locale":"fr"},{"key":"mph","mappings":{"default":{"default":"miles par heure","singular":"mile par heure","dual":""}},"names":["mph"]}]
+,
+"fr/units/temperature.js": 
+[{"locale":"fr"},{"key":"F","mappings":{"default":{"default":"farads","singular":"farad","dual":""}},"names":["F","F.","°F"]},{"key":"C","mappings":{"default":{"default":"coulombs","singular":"coulomb","dual":""}},"names":["C","°C"]},{"key":"K","mappings":{"default":{"default":"kelvins","singular":"kelvin","dual":""}},"names":["K","°K"]}]
+,
+"fr/units/time.js": 
+[{"locale":"fr"},{"key":"s","mappings":{"default":{"default":"secondes","singular":"seconde","dual":""}},"category":"time","names":["s"]}]
+,
+"fr/units/volume.js": 
+[{"locale":"fr"},{"key":"bbl","mappings":{"default":{"default":"barils","singular":"baril","dual":""}},"category":"volume","names":["bbl.","bbl"]},{"key":"gal","mappings":{"default":{"default":"gallons","singular":"gallon","dual":""}},"category":"volume","names":["gal","gal."]},{"key":"pt","mappings":{"default":{"default":"pintes","singular":"pinte","dual":""}},"category":"volume","names":["pt","pt."]},{"key":"qt","mappings":{"default":{"default":"quarts","singular":"quart","dual":""}},"category":"volume","names":["qt","qt."]},{"key":"tbsp","mappings":{"default":{"default":"cuillères de table","singular":"cuillèe de table","dual":""}},"category":"volume","names":["tbsp","tbsp."]},{"key":"tsp","mappings":{"default":{"default":"cuillèes à thé","singular":"cuillère à thé","dual":""}},"category":"volume","names":["tsp","tsp."]},{"key":"l","mappings":{"default":{"default":"litres","singular":"litre","dual":""}},"category":"volume","names":["l"]}]
+,
+"fr/units/weight.js": 
+[{"locale":"fr"},{"key":"lb","mappings":{"default":{"default":"livres","singular":"livre","dual":""}},"names":["lb","lb."]},{"key":"oz","mappings":{"default":{"default":"onces","singular":"oce","dual":""}},"names":["oz","oz."]},{"key":"gr","mappings":{"default":{"default":"grains","singular":"grain","dual":""}},"names":["g","gr"]},{"key":"t","mappings":{"default":{"default":"tonnes","singular":"tonne","dual":""}},"names":["t","T"]}]
+}
+
diff --git a/unpacked/extensions/a11y/mathmaps/mathmaps_ie.js b/unpacked/extensions/a11y/mathmaps/mathmaps_ie.js
index 76c374818c..51201aa891 100644
--- a/unpacked/extensions/a11y/mathmaps/mathmaps_ie.js
+++ b/unpacked/extensions/a11y/mathmaps/mathmaps_ie.js
@@ -1,308 +1,518 @@
 sre.BrowserUtil.mapsForIE = {
-"en/algebra.js": 
-[{"locale":"en"},{"category":"Algebra","mappings":{"default":{"default":"degree"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"determinant","short":"det"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphism","short":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"kernel"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]
+"de/functions/algebra.js": 
+[{"locale":"de"},{"category":"Algebra","mappings":{"default":{"default":"Grad"}},"key":"deg","names":["deg"]},{"key":"det","mappings":{"default":{"default":"Determinante"}},"category":"Algebra","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"Dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"Homomorphismus"},"mathspeak":{"default":"hom"},"clearspeak":{"default":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"Kern"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"Spur"}},"key":"Tr","names":["Tr","tr"]}]
 ,
-"en/elementary.js": 
-[{"locale":"en"},{"category":"Elementary","mappings":{"default":{"default":"logarithm","alternative":"logarithm function","short":"log"}},"key":"log","names":["log"]},{"category":"Elementary","mappings":{"default":{"default":"natural logarithm","alternative":"natural logarithm function","short":"natural log"},"mathspeak":{"default":"ln"}},"key":"ln","names":["ln"]},{"category":"Elementary","mappings":{"default":{"default":"logarithm base 10","short":"log base 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"exponential","alternative":"exponential function","short":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"greatest common divisor","short":"gcd"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"least common multiple","short":"lcm"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"argument","short":"arg"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"imaginary part","short":"imaginary"},"mathspeak":{"default":"im"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"real part","short":"real"},"mathspeak":{"default":"re"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"infimum","short":"inf"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"limit","short":"lim"},"mathspeak":{"default":"limit"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"infimum default","alternative":"inferior limit","short":"liminf"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"supremum limit","alternative":"superior limit","short":"limsup"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"maximum","short":"max"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"minimum","short":"min"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"supremum","short":"sup"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"injective limit","alternative":"direct limit","short":"colimit"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projective limit","alternative":"inverse limit","short":"limit"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"modulo","short":"mod"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"probability"}},"key":"Pr","names":["Pr"]}]
+"de/functions/elementary.js": 
+[{"locale":"de"},{"key":"log","mappings":{"default":{"default":"Logarithmus"}},"category":"Logarithm","names":["log"]},{"key":"ln","mappings":{"default":{"default":"natürlicher Logarithmus"}},"category":"Logarithm","names":["ln"]},{"category":"Logarithm","mappings":{"default":{"default":"Logarithmus zur Basis 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"Exponent"},"mathspeak":{"default":"exp"},"clearspeak":{"default":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"größter gemeinsamer Teiler"},"mathspeak":{"default":"ggt"},"clearspeak":{"default":"ggt"}},"key":"gcd","names":["gcd","ggt","ggT"]},{"category":"Elementary","mappings":{"default":{"default":"kleinstes gemeinsames Vielfaches"},"mathspeak":{"default":"kgv"},"clearspeak":{"default":"kgv"}},"key":"lcm","names":["lcm","kgv","kgV"]},{"category":"Complex","mappings":{"default":{"default":"Argument"}},"key":"arg","names":["arg"]},{"key":"im","mappings":{"default":{"default":"der Imaginärteil der komplexen Zahl"}},"category":"Complex","names":["im"]},{"key":"re","mappings":{"default":{"default":"der Realteil der komplexen Zahl"}},"category":"Complex","names":["re"]},{"key":"mod","mappings":{"default":{"default":"modulo"}},"category":"Elementary","names":["mod"]},{"category":"Limits","mappings":{"default":{"default":"Infimum"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"Limes"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"Limes inferior"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"Limes superior"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"Maximum"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"Minimum"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"Supremum"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"Colimes"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projektiver Limes"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Probability","mappings":{"default":{"default":"Wahrscheinlichkeit"}},"key":"Pr","names":["Pr"]}]
 ,
-"en/hyperbolic.js": 
-[{"locale":"en"},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosine function","short":"hyperbolic cosine"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cotangent function","short":"hyperbolic cotangent"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosecant function","short":"hyperbolic cosecant"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic secant function","short":"hyperbolic secant"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic sine function","short":"hyperbolic sine"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic tangent function","short":"hyperbolic tangent"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cosine function","alternative":"area hyperbolic cosine function","short":"area hyperbolic cosine"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cotangent function","alternative":"area hyperbolic cotangent function","short":"area hyperbolic cotangent"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic cosecant function","alternative":"area hyperbolic cosecant function","short":"area hyperbolic cosecant"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic secant function","alternative":"area hyperbolic secant function","short":"area hyperbolic secant"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic sine function","alternative":"area hyperbolic sine function","short":"area hyperbolic sine"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"inverse hyperbolic tangent function","alternative":"area hyperbolic tangent function","short":"area hyperbolic tangent"}},"key":"artanh","names":["artanh","arctanh"]}]
+"de/functions/hyperbolic.js": 
+[{"locale":"de"},{"key":"cosh","mappings":{"default":{"default":"Kosinus hyperbolicus"}},"category":"Hyperbolic","names":["cosh"]},{"key":"coth","mappings":{"default":{"default":"Kotangens hyperbolicus"}},"category":"Hyperbolic","names":["coth"]},{"key":"csch","mappings":{"default":{"default":"Kosekans hyperbolicus"}},"category":"Hyperbolic","names":["csch"]},{"key":"sech","mappings":{"default":{"default":"Sekans hyperbolicus"}},"category":"Hyperbolic","names":["sech"]},{"key":"sinh","mappings":{"default":{"default":"Sinus hyperbolicus"}},"category":"Hyperbolic","names":["sinh"]},{"key":"tanh","mappings":{"default":{"default":"Tangens hyperbolicus"}},"category":"Hyperbolic","names":["tanh"]},{"key":"arcosh","mappings":{"default":{"default":"Areakosinus hyperbolicus"}},"category":"Area","names":["arcosh","arccosh"]},{"key":"arcoth","mappings":{"default":{"default":"Areakotangens hyperbolicus"}},"category":"Area","names":["arcoth","arccoth"]},{"key":"arcsch","mappings":{"default":{"default":"Areakosekans hyperbolicus"}},"category":"Area","names":["arcsch","arccsch"]},{"key":"arsech","mappings":{"default":{"default":"Areasekans hyperbolicus"}},"category":"Area","names":["arsech","arcsech"]},{"key":"arsinh","mappings":{"default":{"default":"Areasinus hyperbolicus"}},"category":"Area","names":["arsinh","arcsinh"]},{"key":"artanh","mappings":{"default":{"default":"Areatangens hyperbolicus "}},"category":"Area","names":["artanh","arctanh"]}]
 ,
-"en/trigonometry.js": 
-[{"locale":"en"},{"category":"Trigonometric","mappings":{"default":{"default":"cosine function","short":"cosine"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"cotangent function","short":"cotangent"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"cosecant function","short":"cosecant"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"secant function","short":"secant"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"sine function","alternative":"sine function","short":"sine"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"tangent function","short":"tangent"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cosine function","alternative":"arc cosine function","short":"arc cosine"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cotangent function","alternative":"arc cotangent function","short":"arc cotangent"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse cosecant function","alternative":"arc cosecant function","short":"arc cosecant"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse secant function","alternative":"arc secant function","short":"arc secant"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse sine function","alternative":"arc sine function","short":"arc sine"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"inverse tangent function","alternative":"arc tangent function","short":"arc tangent"}},"key":"arctan","names":["arctan"]}]
+"de/functions/trigonometry.js": 
+[{"locale":"de"},{"key":"cos","mappings":{"default":{"default":"Kosinus"}},"category":"Trigonometric","names":["cos","cosine"]},{"key":"cot","mappings":{"default":{"default":"Kotangens"}},"category":"Trigonometric","names":["cot"]},{"key":"csc","mappings":{"default":{"default":"Kosekans"}},"category":"Trigonometric","names":["csc"]},{"key":"sec","mappings":{"default":{"default":"Sekans"}},"category":"Trigonometric","names":["sec"]},{"key":"sin","mappings":{"default":{"default":"Sinus"}},"category":"Trigonometric","names":["sin","sine"]},{"key":"tan","mappings":{"default":{"default":"Tangens"}},"category":"Trigonometric","names":["tan"]},{"key":"arccos","mappings":{"default":{"default":"Arkuskosinus"},"clearspeak":{"Trig_TrigInverse":"inverser Kosinus"}},"category":"Cyclometric","names":["arccos"]},{"key":"arccot","mappings":{"default":{"default":"Arkuskotangens"},"clearspeak":{"Trig_TrigInverse":"inverser Kotangens"}},"category":"Cyclometric","names":["arccot"]},{"key":"arccsc","mappings":{"default":{"default":"Arkuskosekans"},"clearspeak":{"Trig_TrigInverse":"inverser Kosekans"}},"category":"Cyclometric","names":["arccsc"]},{"key":"arcsec","mappings":{"default":{"default":"Arkussekans"},"clearspeak":{"Trig_TrigInverse":"inverser Sekans"}},"category":"Cyclometric","names":["arcsec"]},{"key":"arcsin","mappings":{"default":{"default":"Arkussinus"},"clearspeak":{"Trig_TrigInverse":"inverser Sinus"}},"category":"Cyclometric","names":["arcsin"]},{"key":"arctan","mappings":{"default":{"default":"Arkustangens"},"clearspeak":{"Trig_TrigInverse":"inverser Tangens"}},"category":"Cyclometric","names":["arctan"]}]
 ,
-"en/greek-capital.js": 
-[{"locale":"en"},{"category":"Lu","key":"0391","mappings":{"default":{"default":"greek capital letter alpha","short":"cap alpha"},"mathspeak":{"default":"upper Alpha"}}},{"category":"Lu","key":"0392","mappings":{"default":{"default":"greek capital letter beta","short":"cap beta"},"mathspeak":{"default":"upper Beta"}}},{"category":"Lu","key":"0393","mappings":{"default":{"default":"greek capital letter gamma","short":"cap gamma"},"mathspeak":{"default":"upper Gamma"}}},{"category":"Lu","key":"0394","mappings":{"default":{"default":"greek capital letter delta","short":"cap delta"},"mathspeak":{"default":"upper Delta"}}},{"category":"Lu","key":"0395","mappings":{"default":{"default":"greek capital letter epsilon","short":"cap epsilon"},"mathspeak":{"default":"upper Epsilon"}}},{"category":"Lu","key":"0396","mappings":{"default":{"default":"greek capital letter zeta","short":"cap zeta"},"mathspeak":{"default":"upper Zeta"}}},{"category":"Lu","key":"0397","mappings":{"default":{"default":"greek capital letter eta","short":"cap eta"},"mathspeak":{"default":"upper Eta"}}},{"category":"Lu","key":"0398","mappings":{"default":{"default":"greek capital letter theta","short":"cap theta"},"mathspeak":{"default":"upper Theta"}}},{"category":"Lu","key":"0399","mappings":{"default":{"default":"greek capital letter iota","short":"cap iota"},"mathspeak":{"default":"upper Iota"}}},{"category":"Lu","key":"039A","mappings":{"default":{"default":"greek capital letter kappa","short":"cap kappa"},"mathspeak":{"default":"upper Kappa"}}},{"category":"Lu","key":"039B","mappings":{"default":{"default":"greek capital letter lamda","alternative":"greek capital letter lambda","short":"cap lamda"},"mathspeak":{"default":"upper Lamda"}}},{"category":"Lu","key":"039C","mappings":{"default":{"default":"greek capital letter mu","short":"cap mu"},"mathspeak":{"default":"upper Mu"}}},{"category":"Lu","key":"039D","mappings":{"default":{"default":"greek capital letter nu","short":"cap nu"},"mathspeak":{"default":"upper Nu"}}},{"category":"Lu","key":"039E","mappings":{"default":{"default":"greek capital letter xi","short":"cap xi"},"mathspeak":{"default":"upper Xi"}}},{"category":"Lu","key":"039F","mappings":{"default":{"default":"greek capital letter omicron","short":"cap omicron"},"mathspeak":{"default":"upper Omicron"}}},{"category":"Lu","key":"03A0","mappings":{"default":{"default":"greek capital letter pi","short":"cap pi"},"mathspeak":{"default":"upper Pi"}}},{"category":"Lu","key":"03A1","mappings":{"default":{"default":"greek capital letter rho","short":"cap rho"},"mathspeak":{"default":"upper Rho"}}},{"category":"Lu","key":"03A3","mappings":{"default":{"default":"greek capital letter sigma","short":"cap sigma"},"mathspeak":{"default":"upper Sigma"}}},{"category":"Lu","key":"03A4","mappings":{"default":{"default":"greek capital letter tau","short":"cap tau"},"mathspeak":{"default":"upper Tau"}}},{"category":"Lu","key":"03A5","mappings":{"default":{"default":"greek capital letter upsilon","short":"cap upsilon"},"mathspeak":{"default":"upper Upsilon"}}},{"category":"Lu","key":"03A6","mappings":{"default":{"default":"greek capital letter phi","short":"cap phi"},"mathspeak":{"default":"upper Phi"}}},{"category":"Lu","key":"03A7","mappings":{"default":{"default":"greek capital letter chi","short":"cap chi"},"mathspeak":{"default":"upper Chi"}}},{"category":"Lu","key":"03A8","mappings":{"default":{"default":"greek capital letter psi","short":"cap psi"},"mathspeak":{"default":"upper Psi"}}},{"category":"Lu","key":"03A9","mappings":{"default":{"default":"greek capital letter omega","short":"cap omega"},"mathspeak":{"default":"upper Omega"}}}]
+"de/symbols/digits_rest.js": 
+[{"locale":"de"},{"key":"00B2","mappings":{"default":{"default":"Quadrat"},"clearspeak":{"Exponent_Exponent":"mit Exponent 2","Exponent_OrdinalPower":"zur zweiten Potenz"}},"category":"No"},{"key":"00B3","mappings":{"default":{"default":"Kubik"},"clearspeak":{"Exponent_Exponent":"mit Exponent 3","Exponent_OrdinalPower":"zur dritten Potenz"}},"category":"No"},{"key":"00BC","mappings":{"default":{"default":"ein Viertel"}},"category":"No"},{"key":"00BD","mappings":{"default":{"default":"ein Halb"}},"category":"No"},{"key":"00BE","mappings":{"default":{"default":"drei Viertel"}},"category":"No"},{"category":"No","key":"2150","mappings":{"default":{"default":"ein siebtel"}}},{"category":"No","key":"2151","mappings":{"default":{"default":"ein neuntel"}}},{"category":"No","key":"2152","mappings":{"default":{"default":"ein zehntel"}}},{"category":"No","key":"2153","mappings":{"default":{"default":"ein drittel"}}},{"category":"No","key":"2154","mappings":{"default":{"default":"zwei drittel"}}},{"category":"No","key":"2155","mappings":{"default":{"default":"ein fünftel"}}},{"category":"No","key":"2156","mappings":{"default":{"default":"zwei fünftel"}}},{"category":"No","key":"2157","mappings":{"default":{"default":"drei fünftel"}}},{"category":"No","key":"2158","mappings":{"default":{"default":"vier fünftel"}}},{"category":"No","key":"2159","mappings":{"default":{"default":"ein sechstel"}}},{"category":"No","key":"215A","mappings":{"default":{"default":"fünf sechstel"}}},{"category":"No","key":"215B","mappings":{"default":{"default":"ein achtel"}}},{"category":"No","key":"215C","mappings":{"default":{"default":"drei achtel"}}},{"category":"No","key":"215D","mappings":{"default":{"default":"fünf achtel"}}},{"category":"No","key":"215E","mappings":{"default":{"default":"sieben achtel"}}},{"category":"No","key":"215F","mappings":{"default":{"default":"Bruchzähler eins"}}},{"category":"No","key":"2189","mappings":{"default":{"default":"null drittel"}}},{"category":"No","key":"3248","mappings":{"default":{"default":"eingekreiste Zehn auf schwarzem Quadrat"}}},{"category":"No","key":"3249","mappings":{"default":{"default":"eingekreiste Zwanzig auf schwarzem Quadrat"}}},{"category":"No","key":"324A","mappings":{"default":{"default":"eingekreiste Dreißig auf schwarzem Quadrat"}}},{"category":"No","key":"324B","mappings":{"default":{"default":"eingekreiste Vierzig auf schwarzem Quadrat"}}},{"category":"No","key":"324C","mappings":{"default":{"default":"eingekreiste Fünfzig auf schwarzem Quadrat"}}},{"category":"No","key":"324D","mappings":{"default":{"default":"eingekreiste Sechzig auf schwarzem Quadrat"}}},{"category":"No","key":"324E","mappings":{"default":{"default":"eingekreiste Siebzig auf schwarzem Quadrat"}}},{"category":"No","key":"324F","mappings":{"default":{"default":"eingekreiste Achtzig auf schwarzem Quadrat"}}}]
 ,
-"en/greek-mathfonts-bold.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital alpha","alternative":"bold capital alpha","short":"bold cap alpha"},"mathspeak":{"default":"bold upper Alpha"}},"key":"1D6A8"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital beta","alternative":"bold capital beta","short":"bold cap beta"},"mathspeak":{"default":"bold upper Beta"}},"key":"1D6A9"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital gamma","alternative":"bold capital gamma","short":"bold cap gamma"},"mathspeak":{"default":"bold upper Gamma"}},"key":"1D6AA"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital delta","alternative":"bold capital delta","short":"bold cap delta"},"mathspeak":{"default":"bold upper Delta"}},"key":"1D6AB"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital epsilon","alternative":"bold capital epsilon","short":"bold cap epsilon"},"mathspeak":{"default":"bold upper Epsilon"}},"key":"1D6AC"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital zeta","alternative":"bold capital zeta","short":"bold cap zeta"},"mathspeak":{"default":"bold upper Zeta"}},"key":"1D6AD"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital eta","alternative":"bold capital eta","short":"bold cap eta"},"mathspeak":{"default":"bold upper Eta"}},"key":"1D6AE"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital theta","alternative":"bold capital theta","short":"bold cap theta"},"mathspeak":{"default":"bold upper Theta"}},"key":"1D6AF"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital iota","alternative":"bold capital iota","short":"bold cap iota"},"mathspeak":{"default":"bold upper Iota"}},"key":"1D6B0"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital kappa","alternative":"bold capital kappa","short":"bold cap kappa"},"mathspeak":{"default":"bold upper Kappa"}},"key":"1D6B1"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital lamda","alternative":"bold capital lamda","short":"bold cap lamda"},"mathspeak":{"default":"bold upper Lamda"}},"key":"1D6B2"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital mu","alternative":"bold capital mu","short":"bold cap mu"},"mathspeak":{"default":"bold upper Mu"}},"key":"1D6B3"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital nu","alternative":"bold capital nu","short":"bold cap nu"},"mathspeak":{"default":"bold upper Nu"}},"key":"1D6B4"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital xi","alternative":"bold capital xi","short":"bold cap xi"},"mathspeak":{"default":"bold upper Xi"}},"key":"1D6B5"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital omicron","alternative":"bold capital omicron","short":"bold cap omicron"},"mathspeak":{"default":"bold upper Omicron"}},"key":"1D6B6"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital pi","alternative":"bold capital pi","short":"bold cap pi"},"mathspeak":{"default":"bold upper Pi"}},"key":"1D6B7"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital rho","alternative":"bold capital rho","short":"bold cap rho"},"mathspeak":{"default":"bold upper Rho"}},"key":"1D6B8"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital sigma","alternative":"bold capital sigma","short":"bold cap sigma"},"mathspeak":{"default":"bold upper Sigma"}},"key":"1D6BA"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital tau","alternative":"bold capital tau","short":"bold cap tau"},"mathspeak":{"default":"bold upper Tau"}},"key":"1D6BB"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital upsilon","alternative":"bold capital upsilon","short":"bold cap upsilon"},"mathspeak":{"default":"bold upper Upsilon"}},"key":"1D6BC"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital phi","alternative":"bold capital phi","short":"bold cap phi"},"mathspeak":{"default":"bold upper Phi"}},"key":"1D6BD"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital chi","alternative":"bold capital chi","short":"bold cap chi"},"mathspeak":{"default":"bold upper Chi"}},"key":"1D6BE"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital psi","alternative":"bold capital psi","short":"bold cap psi"},"mathspeak":{"default":"bold upper Psi"}},"key":"1D6BF"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital omega","alternative":"bold capital omega","short":"bold cap omega"},"mathspeak":{"default":"bold upper Omega"}},"key":"1D6C0"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small alpha","alternative":"bold small alpha","short":"bold alpha"}},"key":"1D6C2"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small beta","alternative":"bold small beta","short":"bold beta"}},"key":"1D6C3"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small gamma","alternative":"bold small gamma","short":"bold gamma"}},"key":"1D6C4"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small delta","alternative":"bold small delta","short":"bold delta"}},"key":"1D6C5"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small epsilon","alternative":"bold small epsilon","short":"bold epsilon"}},"key":"1D6C6"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small zeta","alternative":"bold small zeta","short":"bold zeta"}},"key":"1D6C7"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small eta","alternative":"bold small eta","short":"bold eta"}},"key":"1D6C8"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small theta","alternative":"bold small theta","short":"bold theta"}},"key":"1D6C9"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small iota","alternative":"bold small iota","short":"bold iota"}},"key":"1D6CA"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small kappa","alternative":"bold small kappa","short":"bold kappa"}},"key":"1D6CB"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small lamda","alternative":"bold small lamda","short":"bold lamda"}},"key":"1D6CC"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small mu","alternative":"bold small mu","short":"bold mu"}},"key":"1D6CD"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small nu","alternative":"bold small nu","short":"bold nu"}},"key":"1D6CE"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small xi","alternative":"bold small xi","short":"bold xi"}},"key":"1D6CF"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small omicron","alternative":"bold small omicron","short":"bold omicron"}},"key":"1D6D0"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small pi","alternative":"bold small pi","short":"bold pi"}},"key":"1D6D1"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small rho","alternative":"bold small rho","short":"bold rho"}},"key":"1D6D2"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small final sigma","alternative":"bold small final sigma","short":"bold final sigma"}},"key":"1D6D3"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small sigma","alternative":"bold small sigma","short":"bold sigma"}},"key":"1D6D4"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small tau","alternative":"bold small tau","short":"bold tau"}},"key":"1D6D5"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small upsilon","alternative":"bold small upsilon","short":"bold upsilon"}},"key":"1D6D6"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small phi","alternative":"bold small phi","short":"bold phi"}},"key":"1D6D7"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small chi","alternative":"bold small chi","short":"bold chi"}},"key":"1D6D8"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small psi","alternative":"bold small psi","short":"bold psi"}},"key":"1D6D9"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small omega","alternative":"bold small omega","short":"bold omega"}},"key":"1D6DA"}]
+"de/symbols/greek-rest.js": 
+[{"locale":"de"},{"key":"0394","mappings":{"clearspeak":{"default":"Dreieck","TriangleSymbol_Delta":"großes Delta"}},"category":"Lu"}]
 ,
-"en/greek-mathfonts-italic.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital alpha","alternative":"italic capital alpha","short":"italic cap alpha"},"mathspeak":{"default":"italic upper Alpha"}},"key":"1D6E2"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital beta","alternative":"italic capital beta","short":"italic cap beta"},"mathspeak":{"default":"italic upper Beta"}},"key":"1D6E3"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital gamma","alternative":"italic capital gamma","short":"italic cap gamma"},"mathspeak":{"default":"italic upper Gamma"}},"key":"1D6E4"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital delta","alternative":"italic capital delta","short":"italic cap delta"},"mathspeak":{"default":"italic upper Delta"}},"key":"1D6E5"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital epsilon","alternative":"italic capital epsilon","short":"italic cap epsilon"},"mathspeak":{"default":"italic upper Epsilon"}},"key":"1D6E6"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital zeta","alternative":"italic capital zeta","short":"italic cap zeta"},"mathspeak":{"default":"italic upper Zeta"}},"key":"1D6E7"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital eta","alternative":"italic capital eta","short":"italic cap eta"},"mathspeak":{"default":"italic upper Eta"}},"key":"1D6E8"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital theta","alternative":"italic capital theta","short":"italic cap theta"},"mathspeak":{"default":"italic upper Theta"}},"key":"1D6E9"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital iota","alternative":"italic capital iota","short":"italic cap iota"},"mathspeak":{"default":"italic upper Iota"}},"key":"1D6EA"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital kappa","alternative":"italic capital kappa","short":"italic cap kappa"},"mathspeak":{"default":"italic upper Kappa"}},"key":"1D6EB"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital lamda","alternative":"italic capital lamda","short":"italic cap lamda"},"mathspeak":{"default":"italic upper Lamda"}},"key":"1D6EC"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital mu","alternative":"italic capital mu","short":"italic cap mu"},"mathspeak":{"default":"italic upper Mu"}},"key":"1D6ED"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital nu","alternative":"italic capital nu","short":"italic cap nu"},"mathspeak":{"default":"italic upper Nu"}},"key":"1D6EE"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital xi","alternative":"italic capital xi","short":"italic cap xi"},"mathspeak":{"default":"italic upper Xi"}},"key":"1D6EF"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital omicron","alternative":"italic capital omicron","short":"italic cap omicron"},"mathspeak":{"default":"italic upper Omicron"}},"key":"1D6F0"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital pi","alternative":"italic capital pi","short":"italic cap pi"},"mathspeak":{"default":"italic upper Pi"}},"key":"1D6F1"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital rho","alternative":"italic capital rho","short":"italic cap rho"},"mathspeak":{"default":"italic upper Rho"}},"key":"1D6F2"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital sigma","alternative":"italic capital sigma","short":"italic cap sigma"},"mathspeak":{"default":"italic upper Sigma"}},"key":"1D6F4"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital tau","alternative":"italic capital tau","short":"italic cap tau"},"mathspeak":{"default":"italic upper Tau"}},"key":"1D6F5"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital upsilon","alternative":"italic capital upsilon","short":"italic cap upsilon"},"mathspeak":{"default":"italic upper Upsilon"}},"key":"1D6F6"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital phi","alternative":"italic capital phi","short":"italic cap phi"},"mathspeak":{"default":"italic upper Phi"}},"key":"1D6F7"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital chi","alternative":"italic capital chi","short":"italic cap chi"},"mathspeak":{"default":"italic upper Chi"}},"key":"1D6F8"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital psi","alternative":"italic capital psi","short":"italic cap psi"},"mathspeak":{"default":"italic upper Psi"}},"key":"1D6F9"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital omega","alternative":"italic capital omega","short":"italic cap omega"},"mathspeak":{"default":"italic upper Omega"}},"key":"1D6FA"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small alpha","alternative":"italic small alpha","short":"italic alpha"}},"key":"1D6FC"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small beta","alternative":"italic small beta","short":"italic beta"}},"key":"1D6FD"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small gamma","alternative":"italic small gamma","short":"italic gamma"}},"key":"1D6FE"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small delta","alternative":"italic small delta","short":"italic delta"}},"key":"1D6FF"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small epsilon","alternative":"italic small epsilon","short":"italic epsilon"}},"key":"1D700"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small zeta","alternative":"italic small zeta","short":"italic zeta"}},"key":"1D701"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small eta","alternative":"italic small eta","short":"italic eta"}},"key":"1D702"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small theta","alternative":"italic small theta","short":"italic theta"}},"key":"1D703"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small iota","alternative":"italic small iota","short":"italic iota"}},"key":"1D704"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small kappa","alternative":"italic small kappa","short":"italic kappa"}},"key":"1D705"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small lamda","alternative":"italic small lamda","short":"italic lamda"}},"key":"1D706"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small mu","alternative":"italic small mu","short":"italic mu"}},"key":"1D707"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small nu","alternative":"italic small nu","short":"italic nu"}},"key":"1D708"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small xi","alternative":"italic small xi","short":"italic xi"}},"key":"1D709"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small omicron","alternative":"italic small omicron","short":"italic omicron"}},"key":"1D70A"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small pi","alternative":"italic small pi","short":"italic pi"}},"key":"1D70B"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small rho","alternative":"italic small rho","short":"italic rho"}},"key":"1D70C"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small final sigma","alternative":"italic small final sigma","short":"italic final sigma"}},"key":"1D70D"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small sigma","alternative":"italic small sigma","short":"italic sigma"}},"key":"1D70E"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small tau","alternative":"italic small tau","short":"italic tau"}},"key":"1D70F"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small upsilon","alternative":"italic small upsilon","short":"italic upsilon"}},"key":"1D710"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small phi","alternative":"italic small phi","short":"italic phi"}},"key":"1D711"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small chi","alternative":"italic small chi","short":"italic chi"}},"key":"1D712"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small psi","alternative":"italic small psi","short":"italic psi"}},"key":"1D713"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small omega","alternative":"italic small omega","short":"italic omega"}},"key":"1D714"}]
+"de/symbols/greek-scripts.js": 
+[{"locale":"de"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"Kapitälchen Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"Kapitälchen Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"Kapitälchen Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"Kapitälchen Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"Kapitälchen Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"hochgestelltes gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"hochgestelltes phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"tiefgestelltes beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"tiefgestelltes gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"tiefgestelltes rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"tiefgestelltes phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"tiefgestelltes chi"}}}]
 ,
-"en/greek-mathfonts-sans-serif-bold.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital alpha","alternative":"sans serif bold capital alpha","short":"sans serif bold cap alpha"},"mathspeak":{"default":"sans serif bold upper Alpha"}},"key":"1D756"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital beta","alternative":"sans serif bold capital beta","short":"sans serif bold cap beta"},"mathspeak":{"default":"sans serif bold upper Beta"}},"key":"1D757"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital gamma","alternative":"sans serif bold capital gamma","short":"sans serif bold cap gamma"},"mathspeak":{"default":"sans serif bold upper Gamma"}},"key":"1D758"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital delta","alternative":"sans serif bold capital delta","short":"sans serif bold cap delta"},"mathspeak":{"default":"sans serif bold upper Delta"}},"key":"1D759"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital epsilon","alternative":"sans serif bold capital epsilon","short":"sans serif bold cap epsilon"},"mathspeak":{"default":"sans serif bold upper Epsilon"}},"key":"1D75A"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital zeta","alternative":"sans serif bold capital zeta","short":"sans serif bold cap zeta"},"mathspeak":{"default":"sans serif bold upper Zeta"}},"key":"1D75B"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital eta","alternative":"sans serif bold capital eta","short":"sans serif bold cap eta"},"mathspeak":{"default":"sans serif bold upper Eta"}},"key":"1D75C"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital theta","alternative":"sans serif bold capital theta","short":"sans serif bold cap theta"},"mathspeak":{"default":"sans serif bold upper Theta"}},"key":"1D75D"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital iota","alternative":"sans serif bold capital iota","short":"sans serif bold cap iota"},"mathspeak":{"default":"sans serif bold upper Iota"}},"key":"1D75E"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital kappa","alternative":"sans serif bold capital kappa","short":"sans serif bold cap kappa"},"mathspeak":{"default":"sans serif bold upper Kappa"}},"key":"1D75F"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital lamda","alternative":"sans serif bold capital lamda","short":"sans serif bold cap lamda"},"mathspeak":{"default":"sans serif bold upper Lamda"}},"key":"1D760"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital mu","alternative":"sans serif bold capital mu","short":"sans serif bold cap mu"},"mathspeak":{"default":"sans serif bold upper Mu"}},"key":"1D761"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital nu","alternative":"sans serif bold capital nu","short":"sans serif bold cap nu"},"mathspeak":{"default":"sans serif bold upper Nu"}},"key":"1D762"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital xi","alternative":"sans serif bold capital xi","short":"sans serif bold cap xi"},"mathspeak":{"default":"sans serif bold upper Xi"}},"key":"1D763"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital omicron","alternative":"sans serif bold capital omicron","short":"sans serif bold cap omicron"},"mathspeak":{"default":"sans serif bold upper Omicron"}},"key":"1D764"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital pi","alternative":"sans serif bold capital pi","short":"sans serif bold cap pi"},"mathspeak":{"default":"sans serif bold upper Pi"}},"key":"1D765"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital rho","alternative":"sans serif bold capital rho","short":"sans serif bold cap rho"},"mathspeak":{"default":"sans serif bold upper Rho"}},"key":"1D766"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital sigma","alternative":"sans serif bold capital sigma","short":"sans serif bold cap sigma"},"mathspeak":{"default":"sans serif bold upper Sigma"}},"key":"1D768"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital tau","alternative":"sans serif bold capital tau","short":"sans serif bold cap tau"},"mathspeak":{"default":"sans serif bold upper Tau"}},"key":"1D769"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital upsilon","alternative":"sans serif bold capital upsilon","short":"sans serif bold cap upsilon"},"mathspeak":{"default":"sans serif bold upper Upsilon"}},"key":"1D76A"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital phi","alternative":"sans serif bold capital phi","short":"sans serif bold cap phi"},"mathspeak":{"default":"sans serif bold upper Phi"}},"key":"1D76B"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital chi","alternative":"sans serif bold capital chi","short":"sans serif bold cap chi"},"mathspeak":{"default":"sans serif bold upper Chi"}},"key":"1D76C"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital psi","alternative":"sans serif bold capital psi","short":"sans serif bold cap psi"},"mathspeak":{"default":"sans serif bold upper Psi"}},"key":"1D76D"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital omega","alternative":"sans serif bold capital omega","short":"sans serif bold cap omega"},"mathspeak":{"default":"sans serif bold upper Omega"}},"key":"1D76E"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small alpha","alternative":"sans serif bold small alpha","short":"sans serif bold alpha"}},"key":"1D770"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small beta","alternative":"sans serif bold small beta","short":"sans serif bold beta"}},"key":"1D771"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small gamma","alternative":"sans serif bold small gamma","short":"sans serif bold gamma"}},"key":"1D772"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small delta","alternative":"sans serif bold small delta","short":"sans serif bold delta"}},"key":"1D773"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small epsilon","alternative":"sans serif bold small epsilon","short":"sans serif bold epsilon"}},"key":"1D774"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small zeta","alternative":"sans serif bold small zeta","short":"sans serif bold zeta"}},"key":"1D775"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small eta","alternative":"sans serif bold small eta","short":"sans serif bold eta"}},"key":"1D776"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small theta","alternative":"sans serif bold small theta","short":"sans serif bold theta"}},"key":"1D777"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small iota","alternative":"sans serif bold small iota","short":"sans serif bold iota"}},"key":"1D778"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small kappa","alternative":"sans serif bold small kappa","short":"sans serif bold kappa"}},"key":"1D779"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small lamda","alternative":"sans serif bold small lamda","short":"sans serif bold lamda"}},"key":"1D77A"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small mu","alternative":"sans serif bold small mu","short":"sans serif bold mu"}},"key":"1D77B"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small nu","alternative":"sans serif bold small nu","short":"sans serif bold nu"}},"key":"1D77C"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small xi","alternative":"sans serif bold small xi","short":"sans serif bold xi"}},"key":"1D77D"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small omicron","alternative":"sans serif bold small omicron","short":"sans serif bold omicron"}},"key":"1D77E"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small pi","alternative":"sans serif bold small pi","short":"sans serif bold pi"}},"key":"1D77F"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small rho","alternative":"sans serif bold small rho","short":"sans serif bold rho"}},"key":"1D780"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small final sigma","alternative":"sans serif bold small final sigma","short":"sans serif bold final sigma"}},"key":"1D781"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small sigma","alternative":"sans serif bold small sigma","short":"sans serif bold sigma"}},"key":"1D782"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small tau","alternative":"sans serif bold small tau","short":"sans serif bold tau"}},"key":"1D783"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small upsilon","alternative":"sans serif bold small upsilon","short":"sans serif bold upsilon"}},"key":"1D784"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small phi","alternative":"sans serif bold small phi","short":"sans serif bold phi"}},"key":"1D785"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small chi","alternative":"sans serif bold small chi","short":"sans serif bold chi"}},"key":"1D786"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small psi","alternative":"sans serif bold small psi","short":"sans serif bold psi"}},"key":"1D787"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold small omega","alternative":"sans serif bold small omega","short":"sans serif bold omega"}},"key":"1D788"}]
+"de/symbols/greek-symbols.js": 
+[{"locale":"de"},{"category":"Ll","key":"03D0","mappings":{"default":{"default":"beta"}}},{"category":"Ll","key":"03D7","mappings":{"default":{"default":"kai"}}},{"category":"Sm","key":"03F6","mappings":{"default":{"default":"umgekehrtes epsilon"}}},{"category":"Lu","key":"1D7CA","mappings":{"default":{"default":"fettes großes Digamma"}}},{"category":"Ll","key":"1D7CB","mappings":{"default":{"default":"fettes digamma"}}}]
 ,
-"en/greek-scripts.js": 
-[{"locale":"en"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"greek letter small capital gamma","alternative":"greek letter gamma","short":"small cap gamma"},"mathspeak":{"default":"small upper Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"greek letter small capital lamda","alternative":"greek letter lamda","short":"small cap lamda"},"mathspeak":{"default":"small upper Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"greek letter small capital pi","alternative":"greek letter pi","short":"small cap pi"},"mathspeak":{"default":"small upper Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"greek letter small capital rho","alternative":"greek letter rho","short":"small cap rho"},"mathspeak":{"default":"small upper Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"greek letter small capital psi","alternative":"greek letter psi","short":"small cap psi"},"mathspeak":{"default":"small upper Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"modifier letter small greek gamma","alternative":"greek letter superscript gamma","short":"superscript gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"modifier letter small greek phi","alternative":"greek letter superscript phi","short":"superscript phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"greek subscript small letter beta","short":"subscript beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"greek subscript small letter gamma","alternative":"greek letter gamma","short":"subscript gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"greek subscript small letter rho","alternative":"greek letter rho","short":"subscript rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"greek subscript small letter phi","alternative":"greek letter phi","short":"subscript phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"greek subscript small letter chi","alternative":"greek letter chi","short":"subscript chi"}}}]
+"de/symbols/hebrew_letters.js": 
+[{"locale":"de"},{"category":"Lo","key":"2135","mappings":{"default":{"default":"Alef-Symbol"}}},{"category":"Lo","key":"2136","mappings":{"default":{"default":"Bet-Symbol"}}},{"category":"Lo","key":"2137","mappings":{"default":{"default":"Gimel-Symbol"}}},{"category":"Lo","key":"2138","mappings":{"default":{"default":"Dalet-Symbol"}}}]
 ,
-"en/greek-small.js": 
-[{"locale":"en"},{"category":"Ll","key":"03B1","mappings":{"default":{"default":"greek small letter alpha","short":"alpha"}}},{"category":"Ll","key":"03B2","mappings":{"default":{"default":"greek small letter beta","short":"beta"}}},{"category":"Ll","key":"03B3","mappings":{"default":{"default":"greek small letter gamma","short":"gamma"}}},{"category":"Ll","key":"03B4","mappings":{"default":{"default":"greek small letter delta","short":"delta"}}},{"category":"Ll","key":"03B5","mappings":{"default":{"default":"greek small letter epsilon","short":"epsilon"}}},{"category":"Ll","key":"03B6","mappings":{"default":{"default":"greek small letter zeta","short":"zeta"}}},{"category":"Ll","key":"03B7","mappings":{"default":{"default":"greek small letter eta","short":"eta"}}},{"category":"Ll","key":"03B8","mappings":{"default":{"default":"greek small letter theta","short":"theta"}}},{"category":"Ll","key":"03B9","mappings":{"default":{"default":"greek small letter iota","short":"iota"}}},{"category":"Ll","key":"03BA","mappings":{"default":{"default":"greek small letter kappa","short":"kappa"}}},{"category":"Ll","key":"03BB","mappings":{"default":{"default":"greek small letter lamda","alternative":"greek small letter lambda","short":"lamda"}}},{"category":"Ll","key":"03BC","mappings":{"default":{"default":"greek small letter mu","short":"mu"}}},{"category":"Ll","key":"03BD","mappings":{"default":{"default":"greek small letter nu","short":"nu"}}},{"category":"Ll","key":"03BE","mappings":{"default":{"default":"greek small letter xi","short":"xi"}}},{"category":"Ll","key":"03BF","mappings":{"default":{"default":"greek small letter omicron","short":"omicron"}}},{"category":"Ll","key":"03C0","mappings":{"default":{"default":"greek small letter pi","short":"pi"}}},{"category":"Ll","key":"03C1","mappings":{"default":{"default":"greek small letter rho","short":"rho"}}},{"category":"Ll","key":"03C2","mappings":{"default":{"default":"greek small letter final sigma","short":"final sigma"}}},{"category":"Ll","key":"03C3","mappings":{"default":{"default":"greek small letter sigma","short":"sigma"}}},{"category":"Ll","key":"03C4","mappings":{"default":{"default":"greek small letter tau","short":"tau"}}},{"category":"Ll","key":"03C5","mappings":{"default":{"default":"greek small letter upsilon","short":"upsilon"}}},{"category":"Ll","key":"03C6","mappings":{"default":{"default":"greek small letter phi","short":"phi"}}},{"category":"Ll","key":"03C7","mappings":{"default":{"default":"greek small letter chi","short":"chi"}}},{"category":"Ll","key":"03C8","mappings":{"default":{"default":"greek small letter psi","short":"psi"}}},{"category":"Ll","key":"03C9","mappings":{"default":{"default":"greek small letter omega","short":"omega"}}}]
+"de/symbols/latin-lower-double-accent.js": 
+[{"locale":"de"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u mit Diärese und Makron"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u mit Diärese und Akut"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u mit Diärese und Caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u mit Diärese und Grab"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a mit Diärese und Makron"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a mit Dot Above und Makron"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o mit Ogonek und Makron"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a mit Ring oben und akut"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o mit Diärese und Makron"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o mit Tilde und Makron"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o mit Punkt oben und Makron"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"c mit Cedilla und Akut"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"e mit Makron und Grab"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"e mit Makron und Akut"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"e mit Cedilla und Breve"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"i mit Diärese und Akut"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"l mit Punkt unten und Makron"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"o mit Tilde und Akut"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"o mit Tilde und Diärese"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"o mit Makron und Grab"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"o mit Makron und Akut"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"r mit Punkt unten und Makron"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"s mit Akute und Punkt oben"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"s mit Caron und Punkt oben"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"s mit Punkt unten und Punkt oben"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"u mit Tilde und Akut"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"u mit Makron und Diärese"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"a mit Zirkumflex und Akut"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"a mit Zirkumflex und Grab"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"a mit Zirkumflex und Haken oben"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"a mit Zirkumflex und Tilde"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"a mit Zirkumflex und Punkt darunter"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"a mit Breve und Akut"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"a mit Breve und Grab"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"a mit Breve und Haken oben"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"a mit Breve und Tilde"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"a mit Breve und Dot Below"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"e mit Zirkumflex und Akut"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"e mit Zirkumflex und Grab"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"e mit Zirkumflex und Haken oben"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"e mit Zirkumflex und Tilde"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"e mit Zirkumflex und Punkt darunter"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"o mit Zirkumflex und Akut"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"o mit Zirkumflex und Grab"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"o mit Zirkumflex und Haken oben"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"o mit Zirkumflex und Tilde"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"o mit Zirkumflex und Punkt darunter"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"o mit Horn und Akut"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"o mit Horn und Grab"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"o mit Horn und Haken oben"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"o mit Horn und Tilde"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"o mit Horn und Punkt"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"u mit Horn und Akut"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"u mit Horn und Grab"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"u mit Horn und Haken oben"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"u mit Horn und Tilde"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"u mit Horn und Punkt"}}}]
 ,
-"en/greek-symbols.js": 
-[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"greek beta symbol","alternative":"greek small letter curled beta","short":"beta"}},"key":"03D0"},{"category":"Ll","mappings":{"default":{"default":"greek theta symbol","alternative":"greek small letter script theta","short":"theta"}},"key":"03D1"},{"category":"Ll","mappings":{"default":{"default":"greek phi symbol","alternative":"greek small letter script phi","short":"phi"}},"key":"03D5"},{"category":"Ll","mappings":{"default":{"default":"greek pi symbol","alternative":"greek small letter omega pi","short":"pi"}},"key":"03D6"},{"category":"Ll","mappings":{"default":{"default":"greek kai symbol","short":"kai"}},"key":"03D7"},{"category":"Ll","mappings":{"default":{"default":"greek kappa symbol","alternative":"greek small letter script kappa","short":"kappa"}},"key":"03F0"},{"category":"Ll","mappings":{"default":{"default":"greek rho symbol","alternative":"greek small letter tailed rho","short":"rho"}},"key":"03F1"},{"category":"Ll","mappings":{"default":{"default":"greek lunate epsilon symbol","short":"epsilon"}},"key":"03F5"},{"category":"Sm","mappings":{"default":{"default":"greek reversed lunate epsilon symbol","short":"reversed epsilon"}},"key":"03F6"},{"category":"Lu","mappings":{"default":{"default":"greek capital theta symbol","short":"cap theta"},"mathspeak":{"default":"upper Theta"}},"key":"03F4"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital theta symbol","alternative":"bold capital theta","short":"bold cap theta"},"mathspeak":{"default":"bold upper Theta"}},"key":"1D6B9"},{"category":"Lu","mappings":{"default":{"default":"mathematical italic capital theta symbol","alternative":"italic capital theta","short":"italic cap theta"},"mathspeak":{"default":"italic upper Theta"}},"key":"1D6F3"},{"category":"Lu","mappings":{"default":{"default":"mathematical sans serif bold capital theta symbol","alternative":"sans serif bold capital theta","short":"sans serif bold cap theta"},"mathspeak":{"default":"sans serif bold upper Theta"}},"key":"1D767"},{"category":"Sm","mappings":{"default":{"default":"mathematical bold nabla","alternative":"bold nabla"}},"key":"1D6C1"},{"category":"Sm","mappings":{"default":{"default":"mathematical bold partial differential","alternative":"bold partial differential","short":"bold partial differential"}},"key":"1D6DB"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold epsilon symbol","alternative":"bold epsilon","short":"bold epsilon"}},"key":"1D6DC"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold theta symbol","alternative":"bold theta","short":"bold theta"}},"key":"1D6DD"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold kappa symbol","alternative":"bold kappa","short":"bold kappa"}},"key":"1D6DE"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold phi symbol","alternative":"bold phi","short":"bold phi"}},"key":"1D6DF"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold rho symbol","alternative":"bold rho","short":"bold rho"}},"key":"1D6E0"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold pi symbol","alternative":"bold pi","short":"bold pi"}},"key":"1D6E1"},{"category":"Sm","mappings":{"default":{"default":"mathematical italic nabla","alternative":"italic nabla","short":"italic nabla"}},"key":"1D6FB"},{"category":"Sm","mappings":{"default":{"default":"mathematical italic partial differential","alternative":"italic partial differential","short":"italic partial differential"}},"key":"1D715"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic epsilon symbol","alternative":"italic epsilon","short":"italic epsilon"}},"key":"1D716"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic theta symbol","alternative":"italic theta","short":"italic theta"}},"key":"1D717"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic kappa symbol","alternative":"italic kappa","short":"italic kappa"}},"key":"1D718"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic phi symbol","alternative":"italic phi","short":"italic phi"}},"key":"1D719"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic rho symbol","alternative":"italic rho","short":"italic rho"}},"key":"1D71A"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic pi symbol","alternative":"italic pi","short":"italic pi"}},"key":"1D71B"},{"category":"Sm","mappings":{"default":{"default":"mathematical sans serif bold nabla","alternative":"sans serif bold nabla","short":"sans serif bold nabla"}},"key":"1D76F"},{"category":"Sm","mappings":{"default":{"default":"mathematical sans serif bold partial differential","alternative":"sans serif bold partial differential","short":"sans serif bold partial differential"}},"key":"1D789"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold epsilon symbol","alternative":"sans serif bold epsilon","short":"sans serif bold epsilon"}},"key":"1D78A"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold theta symbol","alternative":"sans serif bold theta","short":"sans serif bold theta"}},"key":"1D78B"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold kappa symbol","alternative":"sans serif bold kappa","short":"sans serif bold kappa"}},"key":"1D78C"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold phi symbol","alternative":"sans serif bold phi","short":"sans serif bold phi"}},"key":"1D78D"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold rho symbol","alternative":"sans serif bold rho","short":"sans serif bold rho"}},"key":"1D78E"},{"category":"Ll","mappings":{"default":{"default":"mathematical sans serif bold pi symbol","alternative":"sans serif bold pi","short":"sans serif bold pi"}},"key":"1D78F"},{"category":"Lu","mappings":{"default":{"default":"mathematical bold capital digamma","alternative":"bold capital digamma","short":"bold cap digamma"},"mathspeak":{"default":"bold upper Digamma"}},"key":"1D7CA"},{"category":"Ll","mappings":{"default":{"default":"mathematical bold small digamma","alternative":"bold small digamma","short":"bold digamma"}},"key":"1D7CB"}]
+"de/symbols/latin-lower-phonetic.js": 
+[{"locale":"de"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"o mit Strich"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"d mit Strich"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"h mit Strich"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"l mit Strich"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"t mit Strich"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b mit Strich"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"lambda mit Strich"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z mit Strich"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"umgekehrter Glottalanschlag mit Strich"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g mit Strich"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o mit Strich und Akut"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c mit Strich"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"e mit Strich"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j mit Strich"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"r mit Strich"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y mit Strich"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"punktloses j mit Strich"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i mit Strich"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"punktloses j mit Strich und Haken"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"Glottalanschlag mit Strich"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"umgekehrter Glottalanschlag mit Strich"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"liegendes O mit Strich"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota mit Strich"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p mit Strich"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon mit Strich"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"lang mit diagonalem Anschlag"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"lang S mit hohem Hub"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"wurde Delta gedreht"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"lang mit Punkt oben"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta"}}},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"category":"Ll","key":"017F","mappings":{"default":{"default":"lang S"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b mit Oberleiste"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"ton sechs"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c mit Haken"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d mit Oberleiste"}}},{"key":"0192","mappings":{"default":{"default":"f mit Haken"}},"category":"Ll"},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k mit Haken"}}},{"key":"019A","mappings":{"default":{"default":"l mit Strich"}},"category":"Ll"},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n mit langem rechtem Bein"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o mit Horn"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p mit Haken"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"ton zwei"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"umgedrehte esh Schleife"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t mit palatal Haken"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t mit Haken"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u mit Horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y mit Haken"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"umgekehrtes ezh"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ezh mit Schwanz"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"ton fünf"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz mit Caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae mit Makron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ezh mit Caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lezh"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"ezh mit Kringel"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"dezh Digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"gedreht E"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae mit Akut"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d mit Kringel"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z mit Haken"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l mit Kringel"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n mit Kringel"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t mit Kringel"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"db"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"qp Digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s mit Swash Tail"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z mit Swash Tail"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"Glottalanschlag"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q mit Hakenschwanz"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"gedreht A"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"gedrehtes Alpha"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b mit Haken"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"open O"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c mit Kringel"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d mit Schwanz"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d mit Haken"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"umgedreht E"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"schwa mit Haken"}}},{"key":"025B","mappings":{"default":{"default":"offenes e"}},"category":"Ll"},{"category":"Ll","key":"025C","mappings":{"default":{"default":"umgedrehtes offenes e"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"umgekehrtes offenes e mit Haken"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"umgekehrtes geschlossenes epsilon"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g mit Haken"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"g"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"mini gamma"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"gedrehtes h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h mit Haken"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"h mit Haken"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l mit mittlerer Tilde"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l mit Gurt"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"l mit Retroflexhaken"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"gedreht M"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"gedrehtes M mit langem Bein"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m mit Haken"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n mit linkem Haken"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n mit Retroflexhaken"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"o mit balken"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"geschlossenes omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"gedrehtes r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"gedrehtes r mit langem Bein"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"gedrehtes r mit langem Bein und Haken"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"r mit langem Bein"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"r mit Endstück"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"r mit Angelhaken"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"umgedrehtes R mit Angelhaken"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"s mit Haken"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"squat umgekehrt"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"esh mit Kringel"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"gedreht T"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"t mit Retroflexhaken"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"u Bar"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"v mit Haken"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"gedrehtes v"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"gedrehtes w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"gedrehtes y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"z mit Retroflexhaken"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z mit Kringel"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"pharyngales stimmhaft Frikativ"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"invertierter Glottalanschlag"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"gestrecktes C"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"bilabialer Klick"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"geschlossenes offenes e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"gedrehtes k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q mit Haken"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"dz Digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"dz Digraph mit Kringel"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"ts Digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"tesh Digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"tc Digraph mit Kringel"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"feng Digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"ls Digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"lz Digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"bilabiales Perkussiv"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"bidentales Perkussiv"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"gedrehtes h mit Angelhaken"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"gedrehtes h mit Angelhaken und Schwanz"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"gedrehtes ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"gedrehtes e"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"gedrehtes i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"liegendes O"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"liegendes geöffnet O"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"gedreht Oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"obere Hälfte O"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"untere Hälfte O"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"liegendes U"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"liegendes u Umlaut"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"liegendes m"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"stimmhaft laryngaler Frikativ"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"Ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"b mit mittlerer Tilde"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"d mit mittlerer Tilde"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"f mit mittlerer Tilde"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"m mit mittlerer Tilde"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"n mit mittlerer Tilde"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"p mit mittlerer Tilde"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"r mit mittlerer Tilde"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"r mit Angelhaken und mittlerer Tilde"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"s mit mittlerer Tilde"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"t mit mittlerer Tilde"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z mit mittlerer Tilde"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"gedreht G"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"insular G"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th mit Durchgestrichen"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"b mit Palatalhaken"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"d mit Palatalhaken"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"f mit Palatalhaken"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"g mit Palatalhaken"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"k mit Palatalhaken"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"l mit Palatalhaken"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"m mit Palatalhaken"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"n mit Palatalhaken"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"p mit Palatalhaken"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"r mit Palatalhaken"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"s mit Palatalhaken"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"esh mit Palatalhaken"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"v mit Palatalhaken"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"x mit Palatalhaken"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"z mit Palatalhaken"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a mit Retroflexhaken"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"alpha mit Retroflexhaken"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"d mit Haken und Schwanz"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"e mit Retroflexhaken"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"offenes e mit Retroflexhaken"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"umgedrehtes offenes e mit Retroflexhaken"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"schwa mit Retroflexhaken"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"i mit Retroflexhaken"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"offenes o mit Retroflexhaken"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"esh mit Retroflexhaken"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"u mit Retroflexhaken"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"ezh mit Retroflexhaken"}}},{"key":"0149","mappings":{"default":{"default":"n mit Apostroph davor"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
 ,
-"en/hebrew_letters.js": 
-[{"locale":"en"},{"category":"Lo","mappings":{"default":{"default":"alef symbol","alternative":"first transfinite cardinal","short":"alef"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"bet symbol","alternative":"second transfinite cardinal","short":"bet"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"gimel symbol","alternative":"third transfinite cardinal","short":"gimel"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"dalet symbol","alternative":"fourth transfinite cardinal","short":"dalet"}},"key":"2138"}]
+"de/symbols/latin-lower-single-accent.js": 
+[{"locale":"de"},{"key":"00E0","mappings":{"default":{"default":"a mit Grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a mit Aigu"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a mit Zirkumflex"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a mit Tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a mit Diärese"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a mit Ring darüber"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c mit Cedille"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e mit Grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e mit Aigu"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e mit Zirkumflex"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e mit Diärese"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i mit Grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i mit Aigu"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i mit Zirkumflex"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i mit Diärese"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"n mit Tilde"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o mit Grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o mit Aigu"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o mit Zirkumflex"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o mit Tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o mit Diärese"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u mit Grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u mit Aigu"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u mit Zirkumflex"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u mit Diärese"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"y mit Aigu"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y mit Diärese"}},"category":"Ll"},{"category":"Ll","key":"0101","mappings":{"default":{"default":"a mit Makron"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"a mit Breve"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"a mit Ogonek"}}},{"key":"0107","mappings":{"default":{"default":"c mit Aigu"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c mit Zirkumflex"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"010D","mappings":{"default":{"default":"c mit Caron"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"d mit Caron"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"e mit Makron"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e mit Breve"}}},{"key":"0117","mappings":{"default":{"default":"e mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"0119","mappings":{"default":{"default":"e mit Ogonek"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"e mit Caron"}}},{"key":"011D","mappings":{"default":{"default":"g mit Zirkumflex"}},"category":"Ll"},{"category":"Ll","key":"011F","mappings":{"default":{"default":"g mit Breve"}}},{"key":"0121","mappings":{"default":{"default":"g mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g mit Cedilla"}}},{"key":"0125","mappings":{"default":{"default":"h mit Zirkumflex"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i mit Tilde"}},"category":"Ll"},{"category":"Ll","key":"012B","mappings":{"default":{"default":"i mit Makron"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i mit Breve"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"i mit Ogonek"}}},{"key":"0131","mappings":{"default":{"default":"i ohne punkt"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j mit Zirkumflex"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k mit Cedille"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l mit Aigu"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"013E","mappings":{"default":{"default":"l mit Caron"}}},{"key":"0140","mappings":{"default":{"default":"l mit Punkt in der Mitte"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n mit Aigu"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0148","mappings":{"default":{"default":"n mit Caron"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"o mit Makron"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o mit Breve"}}},{"key":"0151","mappings":{"default":{"default":"o mit doppeltem Aigu"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r mit Aigu"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0159","mappings":{"default":{"default":"r mit Caron"}}},{"key":"015B","mappings":{"default":{"default":"s mit Aigu"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s mit Zirkumflex"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0161","mappings":{"default":{"default":"s mit Caron"}}},{"key":"0163","mappings":{"default":{"default":"t mit Cedille"}},"category":"Ll"},{"category":"Ll","key":"0165","mappings":{"default":{"default":"t mit Caron"}}},{"key":"0169","mappings":{"default":{"default":"u mit Tilde"}},"category":"Ll"},{"category":"Ll","key":"016B","mappings":{"default":{"default":"u mit Makron"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"u mit Breve"}}},{"key":"016F","mappings":{"default":{"default":"u mit Ring darüber"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u mit doppeltem Aigu"}},"category":"Ll"},{"category":"Ll","key":"0173","mappings":{"default":{"default":"u mit Ogonek"}}},{"key":"0175","mappings":{"default":{"default":"w mit Zirkumflex"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y mit Zirkumflex"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z mit Aigu"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z mit Punkt darüber"}},"category":"Ll"},{"category":"Ll","key":"017E","mappings":{"default":{"default":"z mit Caron"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a mit Caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i mit Caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o mit Caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u mit Caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g mit Caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k mit Caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o mit Ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j mit Caron"}}},{"key":"01F5","mappings":{"default":{"default":"g mit Aigu"}},"category":"Ll"},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n mit Grab"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a mit Doppelgrab"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a mit umgekehrter Breve"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e mit Doppelgrab"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e mit umgekehrter Breve"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i mit Doppelgrab"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i mit umgekehrter Breve"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o mit Doppelgrab"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o mit umgekehrter Breve"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r mit Doppelgrab"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r mit umgekehrter Breve"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u mit Doppelgrab"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u mit umgekehrter Breve"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s mit untenstehendem Komma"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t mit untenstehendem Komma"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h mit Caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"a mit Punkt oben"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e mit Cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o mit Punkt oben"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y mit Makron"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"dotless J"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"a mit Ring unten"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"b mit Punkt oben"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"b mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"b mit Zeile darunter"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"d mit Punkt oben"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"d mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"d mit Zeile darunter"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"d mit Cedilla"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"d mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"e mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"e mit darunterliegender Tilde"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"f mit Punkt oben"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"g mit Makron"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"h mit Punkt oben"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"h mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"h mit Diärese"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"h mit Cedilla"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"h mit Breve unten"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"i mit darunterliegender Tilde"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"k mit Akut"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"k mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"k mit Zeile darunter"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"l mit Punkt unten"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"l mit Zeile darunter"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"l mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"m mit Akut"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"m mit Punkt oben"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"m mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"n mit Punkt oben"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"n mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"n mit Zeile darunter"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"n mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"p mit Akut"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"p mit Punkt oben"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"r mit Punkt oben"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"r mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"r mit Zeile darunter"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"s mit Punkt oben"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"s mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"t mit Punkt oben"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"t mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"t mit Zeile darunter"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"t mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"u mit untenstehender Diärese"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"u mit darunterliegender Tilde"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"u mit darunterem Zirkumflex"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"v mit Tilde"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"v mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"w mit Grab"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"w mit Akut"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"w mit Diärese"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"w mit Punkt oben"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"w mit Punkt unten"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"x mit Punkt oben"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"x mit Diärese"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"y mit Punkt oben"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"z mit Zirkumflex"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"z mit untenstehendem Punkt"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"z mit Zeile darunter"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"h mit Zeile darunter"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"t mit Diärese"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"w mit Ring oben"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"y mit Ring oben"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"a mit rechtem Halbring"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"a mit Punkt unten"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"a mit Haken oben"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"e mit untenstehendem Punkt"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"e mit Haken oben"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"e mit Tilde"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"i mit Haken oben"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"i mit untenstehendem Punkt"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"o mit untenstehendem Punkt"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"o mit Haken oben"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"u mit untenstehendem Punkt"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"u mit Haken oben"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"y mit Grab"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"y mit untenstehendem Punkt"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"y mit Haken oben"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"y mit Tilde"}}}]
 ,
-"en/latin-lower-double-accent.js": 
-[{"locale":"en"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"latin small letter u with diaeresis and macron","alternative":"latin small letter u double overdot overbar","short":"u double overdot overbar"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"latin small letter u with diaeresis and acute","alternative":"latin small letter u double overdot acute","short":"u double overdot acute"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"latin small letter u with diaeresis and caron","alternative":"latin small letter u double overdot hacek","short":"u double overdot caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"latin small letter u with diaeresis and grave","alternative":"latin small letter u double overdot grave","short":"u double overdot grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"latin small letter a with diaeresis and macron","alternative":"latin small letter a double overdot overbar","short":"a double overdot overbar"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"latin small letter a with dot above and macron","alternative":"latin small letter a dot overbar","short":"a overdot overbar"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"latin small letter o with ogonek and macron","alternative":"latin small letter o ogonek overbar","short":"o ogonek overbar"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"latin small letter a with ring above and acute","alternative":"latin small letter a ring above acute","short":"a ring above acute"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"latin small letter o with diaeresis and macron","alternative":"latin small letter o double overdot overbar","short":"o double overdot overbar"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"latin small letter o with tilde and macron","alternative":"latin small letter o tilde overbar","short":"o tilde overbar"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"latin small letter o with dot above and macron","alternative":"latin small letter o overdot overbar","short":"o overdot overbar"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"latin small letter c with cedilla and acute","alternative":"latin small letter c cedilla acute","short":"c cedilla acute"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"latin small letter e with macron and grave","alternative":"latin small letter e overbar grave","short":"e overbar grave"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"latin small letter e with macron and acute","alternative":"latin small letter e overbar acute","short":"e overbar acute"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"latin small letter e with cedilla and breve","alternative":"latin small letter e cedilla breve","short":"e cedilla breve"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"latin small letter i with diaeresis and acute","alternative":"latin small letter i double overdot acute","short":"i double overdot acute"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"latin small letter l with dot below and macron","alternative":"latin small letter l underdot overbar","short":"l underdot overbar"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"latin small letter o with tilde and acute","alternative":"latin small letter o tilde acute","short":"o tilde acute"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"latin small letter o with tilde and diaeresis","alternative":"latin small letter o tilde double overdot","short":"o tilde double overdot"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"latin small letter o with macron and grave","alternative":"latin small letter o overbar grave","short":"o overbar grave"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"latin small letter o with macron and acute","alternative":"latin small letter o overbar acute","short":"o overbar acute"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"latin small letter r with dot below and macron","alternative":"latin small letter r underdot overbar","short":"r underdot overbar"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"latin small letter s with acute and dot above","alternative":"latin small letter s acute overdot","short":"s acute overdot"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"latin small letter s with caron and dot above","alternative":"latin small letter s caron overdot","short":"s caron overdot"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"latin small letter s with dot below and dot above","alternative":"latin small letter s underdot overdot","short":"s underdot overdot"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"latin small letter u with tilde and acute","alternative":"latin small letter u tilde acute","short":"u tilde acute"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"latin small letter u with macron and diaeresis","alternative":"latin small letter u overbar double overdot","short":"u overbar double overdot"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"latin small letter a with circumflex and acute","alternative":"latin small letter a hat acute","short":"a hat acute"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"latin small letter a with circumflex and grave","alternative":"latin small letter a hat grave","short":"a hat grave"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"latin small letter a with circumflex and hook above","alternative":"latin small letter a hat hook above","short":"a hat hook above"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"latin small letter a with circumflex and tilde","alternative":"latin small letter a hat tilde","short":"a hat tilde"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"latin small letter a with circumflex and dot below","alternative":"latin small letter a hat underdot","short":"a hat underdot"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"latin small letter a with breve and acute","alternative":"latin small letter a breve acute","short":"a breve acute"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"latin small letter a with breve and grave","alternative":"latin small letter a breve grave","short":"a breve grave"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"latin small letter a with breve and hook above","alternative":"latin small letter a breve hook above","short":"a breve hook above"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"latin small letter a with breve and tilde","alternative":"latin small letter a breve tilde","short":"a breve tilde"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"latin small letter a with breve and dot below","alternative":"latin small letter a breve underdot","short":"a breve underdot"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"latin small letter e with circumflex and acute","alternative":"latin small letter e hat acute","short":"e hat acute"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"latin small letter e with circumflex and grave","alternative":"latin small letter e hat grave","short":"e hat grave"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"latin small letter e with circumflex and hook above","alternative":"latin small letter e hat hook above","short":"e hat hook above"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"latin small letter e with circumflex and tilde","alternative":"latin small letter e hat tilde","short":"e hat tilde"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"latin small letter e with circumflex and dot below","alternative":"latin small letter e hat underdot","short":"e hat underdot"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"latin small letter o with circumflex and acute","alternative":"latin small letter o hat acute","short":"o hat acute"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"latin small letter o with circumflex and grave","alternative":"latin small letter o hat grave","short":"o hat grave"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"latin small letter o with circumflex and hook above","alternative":"latin small letter o hat hook above","short":"o hat hook above"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"latin small letter o with circumflex and tilde","alternative":"latin small letter o hat tilde","short":"o hat tilde"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"latin small letter o with circumflex and dot below","alternative":"latin small letter o hat underdot","short":"o hat underdot"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"latin small letter o with horn and acute","alternative":"latin small letter o acute prime","short":"o acute prime"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"latin small letter o with horn and grave","alternative":"latin small letter o grave prime","short":"o grave prime"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"latin small letter o with horn and hook above","alternative":"latin small letter o hook above prime","short":"o hook above prime"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"latin small letter o with horn and tilde","alternative":"latin small letter o tilde prime","short":"o tilde prime"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"latin small letter o with horn and dot below","alternative":"latin small letter o underdot prime","short":"o underdot prime"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"latin small letter u with horn and acute","alternative":"latin small letter u acute prime","short":"u acute prime"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"latin small letter u with horn and grave","alternative":"latin small letter u grave prime","short":"u grave prime"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"latin small letter u with horn and hook above","alternative":"latin small letter u hook above prime","short":"u hook above prime"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"latin small letter u with horn and tilde","alternative":"latin small letter u tilde prime","short":"u tilde prime"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"latin small letter u with horn and dot below","alternative":"latin small letter u underdot prime","short":"u underdot prime"}}}]
+"de/symbols/latin-rest.js": 
+[{"locale":"de"},{"category":"Ll","key":"210E","mappings":{"default":{"default":"Planck-Konstante"}}},{"category":"Mn","key":"0363","mappings":{"default":{"default":"kombinierendes a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"kombinierendes e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"kombinierendes i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"kombinierendes o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"kombinierendes u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"kombinierendes c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"kombinierendes d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"kombinierendes h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"kombinierendes m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"kombinierendes r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"kombinierendes t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"kombinierendes v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"kombinierendes x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"tiefgestelltes i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"tiefgestelltes r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"tiefgestelltes u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"tiefgestelltes v"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"tiefgestelltes r"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"kombinierendes oberes w"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"kombinierendes ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"kombinierendes ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"kombinierendes av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"kombinierendes c mit Cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"kombinierendes insulares d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"kombinierendes eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"kombinierendes g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"kombinierendes Kapitälchen g"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"kombinierendes k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"kombinierendes l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"kombinierendes Kapitälchen L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"kombinierendes Kapitälchen M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"kombinierendes n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"kombinierendes Kapitälchen N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"kombinierendes lateinisches Kapitälchen R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"kombinierendes r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"kombinierendes s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"kombinierendes langes s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"kombinierendes z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"hochgestelltes i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"hochgestelltes n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"tiefgestelltes a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"tiefgestelltes e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"tiefgestelltes o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"tiefgestelltes x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"tiefgestelltes schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"tiefgestelltes h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"tiefgestelltes k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"tiefgestelltes l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"tiefgestelltes m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"tiefgestelltes n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"tiefgestelltes p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"tiefgestelltes s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"tiefgestelltes t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"tiefgestelltes j"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"groß S in stumpfen Klammern"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"eingekreistes kursives groß C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"eingekreistes kursives groß R"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"durchgestrichenes P auf schwarzen Quadrat"}}}]
 ,
-"en/latin-lower-normal.js": 
-[{"locale":"en"},{"category":"Ll","key":"0061","mappings":{"default":{"default":"latin small letter a","short":"a"}}},{"category":"Ll","key":"0062","mappings":{"default":{"default":"latin small letter b","short":"b"}}},{"category":"Ll","key":"0063","mappings":{"default":{"default":"latin small letter c","short":"c"}}},{"category":"Ll","key":"0064","mappings":{"default":{"default":"latin small letter d","short":"d"}}},{"category":"Ll","key":"0065","mappings":{"default":{"default":"latin small letter e","short":"e"}}},{"category":"Ll","key":"0066","mappings":{"default":{"default":"latin small letter f","short":"f"}}},{"category":"Ll","key":"0067","mappings":{"default":{"default":"latin small letter g","short":"g"}}},{"category":"Ll","key":"0068","mappings":{"default":{"default":"latin small letter h","short":"h"}}},{"category":"Ll","key":"0069","mappings":{"default":{"default":"latin small letter i","short":"i"}}},{"category":"Ll","key":"006A","mappings":{"default":{"default":"latin small letter j","short":"j"}}},{"category":"Ll","key":"006B","mappings":{"default":{"default":"latin small letter k","short":"k"}}},{"category":"Ll","key":"006C","mappings":{"default":{"default":"latin small letter l","short":"l"}}},{"category":"Ll","key":"006D","mappings":{"default":{"default":"latin small letter m","short":"m"}}},{"category":"Ll","key":"006E","mappings":{"default":{"default":"latin small letter n","short":"n"}}},{"category":"Ll","key":"006F","mappings":{"default":{"default":"latin small letter o","short":"o"}}},{"category":"Ll","key":"0070","mappings":{"default":{"default":"latin small letter p","short":"p"}}},{"category":"Ll","key":"0071","mappings":{"default":{"default":"latin small letter q","short":"q"}}},{"category":"Ll","key":"0072","mappings":{"default":{"default":"latin small letter r","short":"r"}}},{"category":"Ll","key":"0073","mappings":{"default":{"default":"latin small letter s","short":"s"}}},{"category":"Ll","key":"0074","mappings":{"default":{"default":"latin small letter t","short":"t"}}},{"category":"Ll","key":"0075","mappings":{"default":{"default":"latin small letter u","short":"u"}}},{"category":"Ll","key":"0076","mappings":{"default":{"default":"latin small letter v","short":"v"}}},{"category":"Ll","key":"0077","mappings":{"default":{"default":"latin small letter w","short":"w"}}},{"category":"Ll","key":"0078","mappings":{"default":{"default":"latin small letter x","short":"x"}}},{"category":"Ll","key":"0079","mappings":{"default":{"default":"latin small letter y","short":"y"}}},{"category":"Ll","key":"007A","mappings":{"default":{"default":"latin small letter z","short":"z"}}},{"category":"Ll","key":"FF41","mappings":{"default":{"default":"fullwidth latin small letter a","short":"a"}}},{"category":"Ll","key":"FF42","mappings":{"default":{"default":"fullwidth latin small letter b","short":"b"}}},{"category":"Ll","key":"FF43","mappings":{"default":{"default":"fullwidth latin small letter c","short":"c"}}},{"category":"Ll","key":"FF44","mappings":{"default":{"default":"fullwidth latin small letter d","short":"d"}}},{"category":"Ll","key":"FF45","mappings":{"default":{"default":"fullwidth latin small letter e","short":"e"}}},{"category":"Ll","key":"FF46","mappings":{"default":{"default":"fullwidth latin small letter f","short":"f"}}},{"category":"Ll","key":"FF47","mappings":{"default":{"default":"fullwidth latin small letter g","short":"g"}}},{"category":"Ll","key":"FF48","mappings":{"default":{"default":"fullwidth latin small letter h","short":"h"}}},{"category":"Ll","key":"FF49","mappings":{"default":{"default":"fullwidth latin small letter i","short":"i"}}},{"category":"Ll","key":"FF4A","mappings":{"default":{"default":"fullwidth latin small letter j","short":"j"}}},{"category":"Ll","key":"FF4B","mappings":{"default":{"default":"fullwidth latin small letter k","short":"k"}}},{"category":"Ll","key":"FF4C","mappings":{"default":{"default":"fullwidth latin small letter l","short":"l"}}},{"category":"Ll","key":"FF4D","mappings":{"default":{"default":"fullwidth latin small letter m","short":"m"}}},{"category":"Ll","key":"FF4E","mappings":{"default":{"default":"fullwidth latin small letter n","short":"n"}}},{"category":"Ll","key":"FF4F","mappings":{"default":{"default":"fullwidth latin small letter o","short":"o"}}},{"category":"Ll","key":"FF50","mappings":{"default":{"default":"fullwidth latin small letter p","short":"p"}}},{"category":"Ll","key":"FF51","mappings":{"default":{"default":"fullwidth latin small letter q","short":"q"}}},{"category":"Ll","key":"FF52","mappings":{"default":{"default":"fullwidth latin small letter r","short":"r"}}},{"category":"Ll","key":"FF53","mappings":{"default":{"default":"fullwidth latin small letter s","short":"s"}}},{"category":"Ll","key":"FF54","mappings":{"default":{"default":"fullwidth latin small letter t","short":"t"}}},{"category":"Ll","key":"FF55","mappings":{"default":{"default":"fullwidth latin small letter u","short":"u"}}},{"category":"Ll","key":"FF56","mappings":{"default":{"default":"fullwidth latin small letter v","short":"v"}}},{"category":"Ll","key":"FF57","mappings":{"default":{"default":"fullwidth latin small letter w","short":"w"}}},{"category":"Ll","key":"FF58","mappings":{"default":{"default":"fullwidth latin small letter x","short":"x"}}},{"category":"Ll","key":"FF59","mappings":{"default":{"default":"fullwidth latin small letter y","short":"y"}}},{"category":"Ll","key":"FF5A","mappings":{"default":{"default":"fullwidth latin small letter z","short":"z"}}}]
+"de/symbols/latin-upper-double-accent.js": 
+[{"locale":"de"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"groß U mit Diärese und Makron"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"groß U mit Diärese und Akut"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"groß U mit Diärese und Caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"groß U mit Diärese und Grab"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"groß A mit Diärese und Makron"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"groß A mit Dot Above und Makron"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"groß O mit Ogonek und Makron"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"groß A mit Ring oben und akut"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"groß O mit Diärese und Makron"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"groß O mit Tilde und Makron"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"groß O mit Punkt oben und Makron"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"groß C mit Cedilla und Akut"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"groß E mit Makron und Grab"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"groß E mit Makron und Akut"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"groß E mit Cedilla und Breve"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"groß I mit Diärese und Akut"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"groß L mit Dot Below und Makron"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"groß O mit Tilde und Akut"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"groß O mit Tilde und Diärese"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"groß O mit Makron und Grab"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"groß O mit Makron und Akut"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"groß R mit Punkt unten und Makron"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"groß S mit Akute und Punkt oben"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"groß S mit Caron und Punkt oben"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"groß S mit untenstehendem Punkt und oben stehendem Punkt"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"groß U mit Tilde und Akut"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"groß U mit Makron und Diärese"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"groß A mit Zirkumflex und Akut"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"groß A mit Zirkumflex und Grab"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"groß A mit Zirkumflex und Haken oben"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"groß A mit Circumflex und Tilde"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"groß A mit Zirkumflex und Punkt darunter"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"groß A mit Breve und Akut"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"groß A mit Breve und Grab"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"groß A mit Breve und Hook oben"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"groß A mit Breve und Tilde"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"groß A mit Breve und Dot Below"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"groß E mit Zirkumflex und Akut"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"groß E mit Zirkumflex und Grab"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"groß E mit Zirkumflex und Haken oben"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"groß E mit Zirkumflex und Tilde"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"groß E mit Zirkumflex und Punkt darunter"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"groß O mit Circumflex und Akut"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"groß O mit Zirkumflex und Grab"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"groß O mit Zirkumflex und Haken oben"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"groß O mit Zirkumflex und Tilde"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"groß O mit Zirkumflex und Punkt darunter"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"groß O mit Horn und Akut"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"groß O mit Horn und Grab"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"groß O mit Horn und Haken oben"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"groß O mit Horn und Tilde"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"groß O mit Horn und Punkt"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"groß U mit Horn und Akut"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"groß U mit Horn und Grab"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"groß U mit Horn und Haken oben"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"groß U mit Horn und Tilde"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"groß U mit Horn und Punkt"}}}]
 ,
-"en/latin-lower-phonetic.js": 
-[{"locale":"en"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"latin small letter o with stroke","alternative":"latin small letter o slash","short":"o with stroke"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"latin small letter d with stroke","alternative":"latin small letter d bar","short":"d with stroke"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"latin small letter h with stroke","alternative":"latin small letter h bar","short":"h with stroke"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"latin small letter l with stroke","alternative":"latin small letter l slash","short":"l with stroke"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"latin small letter t with stroke","alternative":"latin small letter t bar","short":"t with stroke"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"latin small letter b with stroke","alternative":"latin small letter b bar","short":"b with stroke"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"latin small letter lambda with stroke","alternative":"latin small letter barred lambda","short":"lambda with stroke"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"latin small letter z with stroke","alternative":"latin small letter z bar","short":"z with stroke"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"latin letter inverted glottal stop with stroke","alternative":"latin letter inverted glottal stop bar","short":"latin letter inverted glottal stop with stroke"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"latin small letter g with stroke","alternative":"latin small letter g bar","short":"g with stroke"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"latin small letter o with stroke and acute","short":"o with stroke and acute"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"latin small letter c with stroke","short":"c with stroke"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"latin small letter e with stroke","short":"e with stroke"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"latin small letter j with stroke","short":"j with stroke"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"latin small letter r with stroke","short":"r with stroke"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"latin small letter y with stroke","short":"y with stroke"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"latin small letter dotless j with stroke","alternative":"latin small letter dotless j bar","short":"dotless j with stroke"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"latin small letter i with stroke","alternative":"latin small letter barred i","short":"i with stroke"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"latin small letter dotless j with stroke and hook","alternative":"latin small letter dotless j bar hook","short":"dotless j with stroke and hook"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"latin letter glottal stop with stroke","alternative":"latin letter glottal stop bar","short":"latin letter glottal stop with stroke"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"latin letter reversed glottal stop with stroke","alternative":"latin letter reversed glottal stop bar","short":"latin letter reversed glottal stop with stroke"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"latin small letter sideways o with stroke","short":"sideways o with stroke"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"latin small letter iota with stroke","short":"iota with stroke"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"latin small letter p with stroke","short":"p with stroke"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"latin small letter upsilon with stroke","short":"upsilon with stroke"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"latin small letter long s with diagonal stroke","short":"long s with diagonal stroke"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"latin small letter long s with high stroke","short":"long s with high stroke"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"latin small letter turned delta","short":"turned delta"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"latin small letter long s with dot above","short":"long s with dot above"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"latin small letter delta","short":"delta"}}},{"category":"Ll","key":"0138","mappings":{"default":{"default":"latin small letter kra","short":"kra"}}},{"category":"Ll","key":"017F","mappings":{"default":{"default":"latin small letter long s","short":"long s"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"latin small letter b with topbar","alternative":"latin small letter b topbar","short":"b with topbar"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"latin small letter tone six","short":"tone six"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"latin small letter c with hook","alternative":"latin small letter c hook","short":"c with hook"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"latin small letter d with topbar","alternative":"latin small letter d topbar","short":"d with topbar"}}},{"category":"Ll","key":"0192","mappings":{"default":{"default":"latin small letter f with hook","alternative":"latin small letter script f","short":"f with hook"}}},{"category":"Ll","key":"0195","mappings":{"default":{"default":"latin small letter hv","alternative":"latin small letter h v","short":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"latin small letter k with hook","alternative":"latin small letter k hook","short":"k with hook"}}},{"category":"Ll","key":"019A","mappings":{"default":{"default":"latin small letter l with bar","alternative":"latin small letter barred l","short":"l with bar"}}},{"category":"Ll","key":"019E","mappings":{"default":{"default":"latin small letter n with long right leg","short":"n with long right leg"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"latin small letter o with horn","alternative":"latin small letter o horn","short":"o with horn"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"latin small letter oi","alternative":"latin small letter o i","short":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"latin small letter p with hook","alternative":"latin small letter p hook","short":"p with hook"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"latin small letter tone two","short":"tone two"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"latin letter reversed esh loop","short":"latin letter reversed esh loop"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"latin small letter t with palatal hook","alternative":"latin small letter t palatal hook","short":"t with palatal hook"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"latin small letter t with hook","alternative":"latin small letter t hook","short":"t with hook"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"latin small letter u with horn","alternative":"latin small letter u horn","short":"u with horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"latin small letter y with hook","alternative":"latin small letter y hook","short":"y with hook"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"latin small letter ezh reversed","alternative":"latin small letter reversed yogh","short":"ezh reversed"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"latin small letter ezh with tail","alternative":"latin small letter yogh with tail","short":"ezh with tail"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"latin small letter tone five","short":"tone five"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"latin letter wynn","short":"latin letter wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"latin small letter dz with caron","alternative":"latin small letter d z hacek","short":"dz with caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"latin small letter lj","alternative":"latin small letter l j","short":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"latin small letter nj","alternative":"latin small letter n j","short":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"latin small letter ae with macron","alternative":"latin small letter a e macron","short":"ae with macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"latin small letter ezh with caron","alternative":"latin small letter yogh hacek","short":"ezh with caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"latin small letter dz","short":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"latin small letter yogh","short":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"latin small letter lezh","alternative":"latin small letter l yogh","short":"lezh"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"latin small letter ezh","alternative":"latin small letter yogh","short":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"latin small letter ezh with curl","alternative":"latin small letter yogh curl","short":"ezh with curl"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"latin small letter dezh digraph","alternative":"latin small letter d yogh","short":"dezh digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"latin small letter turned e","short":"turned e"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"latin small letter ae with acute","short":"ae with acute"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"latin small letter yogh","short":"yogh"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"latin small letter d with curl","short":"d with curl"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"latin small letter ou","short":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"latin small letter z with hook","short":"z with hook"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"latin small letter l with curl","short":"l with curl"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"latin small letter n with curl","short":"n with curl"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"latin small letter t with curl","short":"t with curl"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"latin small letter db digraph","short":"db digraph"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"latin small letter qp digraph","short":"qp digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"latin small letter s with swash tail","short":"s with swash tail"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"latin small letter z with swash tail","short":"z with swash tail"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"latin small letter glottal stop","short":"glottal stop"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"latin small letter q with hook tail","short":"q with hook tail"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"latin small letter turned a","short":"turned a"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"latin small letter alpha","alternative":"latin small letter script a","short":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"latin small letter turned alpha","alternative":"latin small letter turned script a","short":"turned alpha"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"latin small letter b with hook","alternative":"latin small letter b hook","short":"b with hook"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"latin small letter open o","short":"open o"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"latin small letter c with curl","alternative":"latin small letter c curl","short":"c with curl"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"latin small letter d with tail","alternative":"latin small letter d retroflex hook","short":"d with tail"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"latin small letter d with hook","alternative":"latin small letter d hook","short":"d with hook"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"latin small letter reversed e","short":"reversed e"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"latin small letter schwa","short":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"latin small letter schwa with hook","alternative":"latin small letter schwa hook","short":"schwa with hook"}}},{"category":"Ll","key":"025B","mappings":{"default":{"default":"latin small letter open e","alternative":"latin small letter epsilon","short":"open e"}}},{"category":"Ll","key":"025C","mappings":{"default":{"default":"latin small letter reversed open e","alternative":"latin small letter reversed epsilon","short":"reversed open e"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"latin small letter reversed open e with hook","alternative":"latin small letter reversed epsilon hook","short":"reversed open e with hook"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"latin small letter closed reversed open e","alternative":"latin small letter closed reversed epsilon","short":"closed reversed open e"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"latin small letter g with hook","alternative":"latin small letter g hook","short":"g with hook"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"latin small letter script g","short":"script g"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"latin small letter gamma","short":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"latin small letter rams horn","alternative":"latin small letter baby gamma","short":"rams horn"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"latin small letter turned h","short":"turned h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"latin small letter h with hook","alternative":"latin small letter h hook","short":"h with hook"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"latin small letter heng with hook","alternative":"latin small letter heng hook","short":"heng with hook"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"latin small letter iota","short":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"latin small letter l with middle tilde","short":"l with middle tilde"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"latin small letter l with belt","alternative":"latin small letter l belt","short":"l with belt"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"latin small letter l with retroflex hook","alternative":"latin small letter l retroflex hook","short":"l with retroflex hook"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"latin small letter lezh","alternative":"latin small letter l yogh","short":"lezh"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"latin small letter turned m","short":"turned m"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"latin small letter turned m with long leg","short":"turned m with long leg"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"latin small letter m with hook","alternative":"latin small letter m hook","short":"m with hook"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"latin small letter n with left hook","alternative":"latin small letter n hook","short":"n with left hook"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"latin small letter n with retroflex hook","alternative":"latin small letter n retroflex hook","short":"n with retroflex hook"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"latin small letter barred o","short":"barred o"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"latin small letter closed omega","short":"closed omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"latin small letter phi","short":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"latin small letter turned r","short":"turned r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"latin small letter turned r with long leg","short":"turned r with long leg"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"latin small letter turned r with hook","alternative":"latin small letter turned r hook","short":"turned r with hook"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"latin small letter r with long leg","short":"r with long leg"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"latin small letter r with tail","alternative":"latin small letter r hook","short":"r with tail"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"latin small letter r with fishhook","alternative":"latin small letter fishhook r","short":"r with fishhook"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"latin small letter reversed r with fishhook","alternative":"latin small letter reversed fishhook r","short":"reversed r with fishhook"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"latin small letter s with hook","alternative":"latin small letter s hook","short":"s with hook"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"latin small letter esh","short":"esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"latin small letter squat reversed esh","short":"squat reversed esh"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"latin small letter esh with curl","alternative":"latin small letter esh curl","short":"esh with curl"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"latin small letter turned t","short":"turned t"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"latin small letter t with retroflex hook","alternative":"latin small letter t retroflex hook","short":"t with retroflex hook"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"latin small letter u bar","short":"u bar"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"latin small letter upsilon","short":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"latin small letter v with hook","alternative":"latin small letter script v","short":"v with hook"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"latin small letter turned v","short":"turned v"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"latin small letter turned w","short":"turned w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"latin small letter turned y","short":"turned y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"latin small letter z with retroflex hook","alternative":"latin small letter z retroflex hook","short":"z with retroflex hook"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"latin small letter z with curl","alternative":"latin small letter z curl","short":"z with curl"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"latin small letter ezh","alternative":"latin small letter yogh","short":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"latin small letter ezh with curl","alternative":"latin small letter yogh curl","short":"ezh with curl"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"latin letter pharyngeal voiced fricative","alternative":"latin letter reversed glottal stop","short":"latin letter pharyngeal voiced fricative"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"latin letter inverted glottal stop","short":"latin letter inverted glottal stop"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"latin letter stretched c","short":"latin letter stretched c"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"latin letter bilabial click","alternative":"latin letter bullseye","short":"latin letter bilabial click"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"latin small letter closed open e","alternative":"latin small letter closed epsilon","short":"closed open e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"latin small letter turned k","short":"turned k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"latin small letter q with hook","alternative":"latin small letter q hook","short":"q with hook"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"latin small letter dz digraph","alternative":"latin small letter d z","short":"dz digraph"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"latin small letter dezh digraph","alternative":"latin small letter d yogh","short":"dezh digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"latin small letter dz digraph with curl","alternative":"latin small letter d z curl","short":"dz digraph with curl"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"latin small letter ts digraph","alternative":"latin small letter t s","short":"ts digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"latin small letter tesh digraph","alternative":"latin small letter t esh","short":"tesh digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"latin small letter tc digraph with curl","alternative":"latin small letter t c curl","short":"tc digraph with curl"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"latin small letter feng digraph","short":"feng digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"latin small letter ls digraph","short":"ls digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"latin small letter lz digraph","short":"lz digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"latin letter bilabial percussive","short":"latin letter bilabial percussive"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"latin letter bidental percussive","short":"latin letter bidental percussive"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"latin small letter turned h with fishhook","short":"turned h with fishhook"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"latin small letter turned h with fishhook and tail","short":"turned h with fishhook and tail"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"latin small letter turned ae","short":"turned ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"latin small letter turned open e","short":"turned open e"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"latin small letter turned i","short":"turned i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"latin small letter sideways o","short":"sideways o"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"latin small letter sideways open o","short":"sideways open o"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"latin small letter turned oe","short":"turned oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"latin small letter top half o","short":"top half o"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"latin small letter bottom half o","short":"bottom half o"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"latin small letter sideways u","short":"sideways u"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"latin small letter sideways diaeresized u","short":"sideways diaeresized u"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"latin small letter sideways turned m","short":"sideways turned m"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"latin letter voiced laryngeal spirant","short":"latin letter voiced laryngeal spirant"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"latin letter ain","short":"latin letter ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"latin small letter ue","short":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"latin small letter b with middle tilde","short":"b with middle tilde"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"latin small letter d with middle tilde","short":"d with middle tilde"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"latin small letter f with middle tilde","short":"f with middle tilde"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"latin small letter m with middle tilde","short":"m with middle tilde"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"latin small letter n with middle tilde","short":"n with middle tilde"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"latin small letter p with middle tilde","short":"p with middle tilde"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"latin small letter r with middle tilde","short":"r with middle tilde"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"latin small letter r with fishhook and middle tilde","short":"r with fishhook and middle tilde"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"latin small letter s with middle tilde","short":"s with middle tilde"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"latin small letter t with middle tilde","short":"t with middle tilde"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"latin small letter z with middle tilde","short":"z with middle tilde"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"latin small letter turned g","short":"turned g"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"latin small letter insular g","short":"insular g"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"latin small letter th with strikethrough","short":"th with strikethrough"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"latin small letter b with palatal hook","short":"b with palatal hook"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"latin small letter d with palatal hook","short":"d with palatal hook"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"latin small letter f with palatal hook","short":"f with palatal hook"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"latin small letter g with palatal hook","short":"g with palatal hook"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"latin small letter k with palatal hook","short":"k with palatal hook"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"latin small letter l with palatal hook","short":"l with palatal hook"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"latin small letter m with palatal hook","short":"m with palatal hook"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"latin small letter n with palatal hook","short":"n with palatal hook"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"latin small letter p with palatal hook","short":"p with palatal hook"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"latin small letter r with palatal hook","short":"r with palatal hook"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"latin small letter s with palatal hook","short":"s with palatal hook"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"latin small letter esh with palatal hook","short":"esh with palatal hook"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"latin small letter v with palatal hook","short":"v with palatal hook"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"latin small letter x with palatal hook","short":"x with palatal hook"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"latin small letter z with palatal hook","short":"z with palatal hook"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"latin small letter a with retroflex hook","short":"a with retroflex hook"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"latin small letter alpha with retroflex hook","short":"alpha with retroflex hook"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"latin small letter d with hook and tail","short":"d with hook and tail"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"latin small letter e with retroflex hook","short":"e with retroflex hook"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"latin small letter open e with retroflex hook","short":"open e with retroflex hook"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"latin small letter reversed open e with retroflex hook","short":"reversed open e with retroflex hook"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"latin small letter schwa with retroflex hook","short":"schwa with retroflex hook"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"latin small letter i with retroflex hook","short":"i with retroflex hook"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"latin small letter open o with retroflex hook","short":"open o with retroflex hook"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"latin small letter esh with retroflex hook","short":"esh with retroflex hook"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"latin small letter u with retroflex hook","short":"u with retroflex hook"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"latin small letter ezh with retroflex hook","short":"ezh with retroflex hook"}}},{"category":"Ll","key":"0149","mappings":{"default":{"default":"latin small letter n preceded by apostrophe","alternative":"latin small letter apostrophe n","short":"n preceded by apostrophe"}}},{"category":"Ll","key":"014B","mappings":{"default":{"default":"latin small letter eng","short":"eng"}}}]
+"de/symbols/latin-upper-single-accent.js": 
+[{"locale":"de"},{"key":"00C0","mappings":{"default":{"default":"groß A mit Gravis"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"groß A mit Aigu"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"groß A mit Zirkumflex"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"groß A mit Tilde"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"groß A mit Diärese"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"groß A mit Ring darüber"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"groß C mit Cedille"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"groß E mit Gravis"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"groß E mit Aigu"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"groß E mit Zirkumflex"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"groß E mit Diärese"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"groß I mit Gravis"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"groß I mit Aigu"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"groß I mit Zirkumflex"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"groß I mit Diärese"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"großes n mit Tilde"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"großes o mit Gravis"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"groß O mit Aigu"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"groß O mit Zirkumflex"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"groß O mit Tilde"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"groß O mit Diärese"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"groß U mit Gravis"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"groß U mit Aigu"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"groß U mit Zirkumflex"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"groß U mit Diärese"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"groß Y mit Aigu"}},"category":"Lu"},{"category":"Lu","key":"0100","mappings":{"default":{"default":"groß A mit Makron"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"groß A mit Breve"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"groß A mit Ogonek"}}},{"key":"0106","mappings":{"default":{"default":"groß C mit Aigu"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"groß C mit Zirkumflex"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"groß C mit Punkt darüber"}},"category":"Lu"},{"category":"Lu","key":"010C","mappings":{"default":{"default":"groß C mit Caron"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"groß D mit Caron"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"groß E mit Makron"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"groß E mit Breve"}}},{"key":"0116","mappings":{"default":{"default":"groß E mit Punkt darüber"}},"category":"Lu"},{"category":"Lu","key":"0118","mappings":{"default":{"default":"groß E mit Ogonek"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"groß E mit Caron"}}},{"key":"011C","mappings":{"default":{"default":"groß G mit Zirkumflex"}},"category":"Lu"},{"category":"Lu","key":"011E","mappings":{"default":{"default":"groß G mit Breve"}}},{"key":"0120","mappings":{"default":{"default":"groß G mit Punkt darüber"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"groß G mit Cedille"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"groß H mit Zirkumflex"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"groß I mit Tilde"}},"category":"Lu"},{"category":"Lu","key":"012A","mappings":{"default":{"default":"groß I mit Makron"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"groß I mit Breve"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"groß I mit Ogonek"}}},{"key":"0130","mappings":{"default":{"default":"groß I mit Punkt darüber"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"groß J mit Zirkumflex"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"groß K mit Cedille"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"groß L mit Aigu"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"groß L mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"013D","mappings":{"default":{"default":"groß L mit Caron"}}},{"key":"013F","mappings":{"default":{"default":"groß L mit Punkt in der Mitte"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"groß N mit Aigu"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"groß N mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0147","mappings":{"default":{"default":"groß N mit Caron"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"groß O mit Makron"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"groß O mit Breve"}}},{"key":"0150","mappings":{"default":{"default":"groß O mit doppeltem Aigu"}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"groß R mit Aigu"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"groß R mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0158","mappings":{"default":{"default":"groß R mit Caron"}}},{"key":"015A","mappings":{"default":{"default":"groß S mit Aigu"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"groß S mit Zirkumflex"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"groß S mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0160","mappings":{"default":{"default":"groß S mit Caron"}}},{"key":"0162","mappings":{"default":{"default":"groß T mit Cedille"}},"category":"Lu"},{"category":"Lu","key":"0164","mappings":{"default":{"default":"groß T mit Caron"}}},{"key":"0168","mappings":{"default":{"default":"groß U mit Tilde"}},"category":"Lu"},{"category":"Lu","key":"016A","mappings":{"default":{"default":"groß U mit Makron"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"groß U mit Breve"}}},{"key":"016E","mappings":{"default":{"default":"groß U mit Ring darüber"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"groß U mit dopppeltem Aigu"}},"category":"Lu"},{"category":"Lu","key":"0172","mappings":{"default":{"default":"groß U mit Ogonek"}}},{"key":"0174","mappings":{"default":{"default":"groß W mit Zirkumflex"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"groß Y mit Zirkumflex"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"groß Y mit Diärese"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"groß Z mit Aigu"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"groß Z mit Punkt darüber"}},"category":"Lu"},{"category":"Lu","key":"017D","mappings":{"default":{"default":"groß Z mit Caron"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"groß A mit Caron"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"groß I mit Caron"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"groß O mit Caron"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"groß U mit Caron"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"groß G mit Caron"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"groß K mit Caron"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"groß O mit Ogonek"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"groß G mit Akut"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"groß N mit Gravis"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"groß A mit Doppelgravis"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"groß A mit umgekehrter Breve"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"groß E mit Doppelgravis"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"groß E mit umgekehrter Breve"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"groß I mit Doppelgravis"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"groß I mit umgekehrter Breve"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"groß O mit Doppelgravis"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"groß O mit umgekehrter Breve"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"groß R mit Doppelgravis"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"groß R mit umgekehrter Breve"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"groß U mit Doppelgravis"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"groß U mit umgekehrter Breve"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"groß S mit untenstehendem Komma"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"groß T mit untenstehendem Komma"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"groß H mit Caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"groß A mit Punkt oben"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"groß E mit Cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"groß O mit Punkt oben"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"groß Y mit Makron"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"groß A mit Ring unten"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"groß B mit Punkt oben"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"groß B mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"groß B mit Zeile darunter"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"groß D mit Punkt oben"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"groß D mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"groß D mit Zeile darunter"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"groß D mit Cedilla"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"groß D mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"groß E mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"groß E mit darunterliegender Tilde"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"groß F mit Punkt oben"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"groß G mit Makron"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"groß H mit Punkt oben"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"groß H mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"groß H mit Diärese"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"groß H mit Cedilla"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"groß H mit Breve unten"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"groß I mit unten stehender Tilde"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"groß K mit Akut"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"groß K mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"groß K mit Zeile"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"groß L mit Punkt unten"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"groß L mit Zeile darunter"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"groß L mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"groß M mit Akut"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"groß M mit Punkt oben"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"groß M mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"groß N mit Punkt oben"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"groß N mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"groß N mit Zeile darunter"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"groß N mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"groß P mit Akut"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"groß P mit Punkt oben"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"groß R mit Punkt oben"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"groß R mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"groß R mit Zeile darunter"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"groß S mit Punkt oben"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"groß S mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"groß T mit Punkt oben"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"groß T mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"groß T mit Zeile darunter"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"groß T mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"groß U mit untenstehender Diärese"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"groß U mit darunterliegender Tilde"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"groß U mit darunterem Zirkumflex"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"groß V mit Tilde"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"groß V mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"groß W mit Gravis"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"groß W mit Akut"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"groß W mit Diärese"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"groß W mit Punkt oben"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"groß W mit Punkt unten"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"groß X mit Punkt oben"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"groß X mit Diärese"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"groß Y mit Punkt oben"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"groß Z mit Zirkumflex"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"groß Z mit untenstehendem Punkt"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"groß Z mit Zeile darunter"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"groß A mit Punkt unten"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"groß A mit Haken oben"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"groß E mit untenstehendem Punkt"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"groß E mit Haken oben"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"groß E mit Tilde"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"groß I mit Haken oben"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"groß I mit untenstehendem Punkt"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"groß O mit untenstehendem Punkt"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"groß O mit Haken oben"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"groß U mit untenstehendem Punkt"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"groß U mit Haken oben"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"groß Y mit Gravis"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"groß Y mit untenstehendem Punkt"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"groß Y mit Haken oben"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"groß Y mit Tilde"}}}]
 ,
-"en/latin-lower-single-accent.js": 
-[{"locale":"en"},{"category":"Ll","key":"00E0","mappings":{"default":{"default":"latin small letter a with grave","alternative":"latin small letter a grave","short":"a grave"},"mathspeak":{"default":"modifying above a with grave","brief":"mod above a with grave","sbrief":"mod above a with grave"}}},{"category":"Ll","key":"00E1","mappings":{"default":{"default":"latin small letter a with acute","alternative":"latin small letter a acute","short":"a acute"},"mathspeak":{"default":"modifying above a with acute","brief":"mod above a with acute","sbrief":"mod above a with acute"}}},{"category":"Ll","key":"00E2","mappings":{"default":{"default":"latin small letter a with circumflex","alternative":"latin small letter a hat","short":"a hat"},"mathspeak":{"default":"modifying above a with caret","brief":"mod above a with caret","sbrief":"mod above a with caret"}}},{"category":"Ll","key":"00E3","mappings":{"default":{"default":"latin small letter a with tilde","alternative":"latin small letter a tilde","short":"a tilde"},"mathspeak":{"default":"a overtilde","brief":"a overtilde","sbrief":"a overtilde"}}},{"category":"Ll","key":"00E4","mappings":{"default":{"default":"latin small letter a with diaeresis","alternative":"latin small letter a double overdot","short":"a double overdot"},"mathspeak":{"default":"modifying above a with double dot","brief":"mod above a with double dot","sbrief":"mod above a with double dot"}}},{"category":"Ll","key":"00E5","mappings":{"default":{"default":"latin small letter a with ring above","alternative":"latin small letter a ring","short":"a ring"},"mathspeak":{"default":"modifying above a with ring","brief":"mod above a with ring","sbrief":"mod above a with ring"}}},{"category":"Ll","key":"00E7","mappings":{"default":{"default":"latin small letter c with cedilla","alternative":"latin small letter c cedilla","short":"c cedilla"},"mathspeak":{"default":"modifying above c with cedilla","brief":"mod above c with cedilla","sbrief":"mod above c with cedilla"}}},{"category":"Ll","key":"00E8","mappings":{"default":{"default":"latin small letter e with grave","alternative":"latin small letter e grave","short":"e grave"},"mathspeak":{"default":"modifying above e with grave","brief":"mod above e with grave","sbrief":"mod above e with grave"}}},{"category":"Ll","key":"00E9","mappings":{"default":{"default":"latin small letter e with acute","alternative":"latin small letter e acute","short":"e acute"},"mathspeak":{"default":"modifying above e with acute","brief":"mod above e with acute","sbrief":"mod above e with acute"}}},{"category":"Ll","key":"00EA","mappings":{"default":{"default":"latin small letter e with circumflex","alternative":"latin small letter e hat","short":"e hat"},"mathspeak":{"default":"modifying above e with caret","brief":"mod above e with caret","sbrief":"mod above e with caret"}}},{"category":"Ll","key":"00EB","mappings":{"default":{"default":"latin small letter e with diaeresis","alternative":"latin small letter e double overdot","short":"e double overdot"},"mathspeak":{"default":"modifying above e with double dot","brief":"mod above e with double dot","sbrief":"mod above e with double dot"}}},{"category":"Ll","key":"00EC","mappings":{"default":{"default":"latin small letter i with grave","alternative":"latin small letter i grave","short":"i grave"},"mathspeak":{"default":"modifying above i with grave","brief":"mod above i with grave","sbrief":"mod above i with grave"}}},{"category":"Ll","key":"00ED","mappings":{"default":{"default":"latin small letter i with acute","alternative":"latin small letter i acute","short":"i acute"},"mathspeak":{"default":"modifying above i with acute","brief":"mod above i with acute","sbrief":"mod above i with acute"}}},{"category":"Ll","key":"00EE","mappings":{"default":{"default":"latin small letter i with circumflex","alternative":"latin small letter i hat","short":"i hat"},"mathspeak":{"default":"modifying above i with caret","brief":"mod above i with caret","sbrief":"mod above i with caret"}}},{"category":"Ll","key":"00EF","mappings":{"default":{"default":"latin small letter i with diaeresis","alternative":"latin small letter i double overdot","short":"i double overdot"},"mathspeak":{"default":"modifying above i with double dot","brief":"mod above i with double dot","sbrief":"mod above i with double dot"}}},{"category":"Ll","key":"00F1","mappings":{"default":{"default":"latin small letter n with tilde","alternative":"latin small letter n tilde","short":"n tilde"},"mathspeak":{"default":"n overtilde","brief":"n overtilde","sbrief":"n overtilde"}}},{"category":"Ll","key":"00F2","mappings":{"default":{"default":"latin small letter o with grave","alternative":"latin small letter o grave","short":"o grave"},"mathspeak":{"default":"modifying above o with grave","brief":"mod above o with grave","sbrief":"mod above o with grave"}}},{"category":"Ll","key":"00F3","mappings":{"default":{"default":"latin small letter o with acute","alternative":"latin small letter o acute","short":"o acute"},"mathspeak":{"default":"modifying above o with acute","brief":"mod above o with acute","sbrief":"mod above o with acute"}}},{"category":"Ll","key":"00F4","mappings":{"default":{"default":"latin small letter o with circumflex","alternative":"latin small letter o hat","short":"o hat"},"mathspeak":{"default":"modifying above o with caret","brief":"mod above o with caret","sbrief":"mod above o with caret"}}},{"category":"Ll","key":"00F5","mappings":{"default":{"default":"latin small letter o with tilde","alternative":"latin small letter o tilde","short":"o tilde"},"mathspeak":{"default":"o overtilde","brief":"o overtilde","sbrief":"o overtilde"}}},{"category":"Ll","key":"00F6","mappings":{"default":{"default":"latin small letter o with diaeresis","alternative":"latin small letter o double overdot","short":"o double overdot"},"mathspeak":{"default":"modifying above o with double dot","brief":"mod above o with double dot","sbrief":"mod above o with double dot"}}},{"category":"Ll","key":"00F9","mappings":{"default":{"default":"latin small letter u with grave","alternative":"latin small letter u grave","short":"u grave"},"mathspeak":{"default":"modifying above u with grave","brief":"mod above u with grave","sbrief":"mod above u with grave"}}},{"category":"Ll","key":"00FA","mappings":{"default":{"default":"latin small letter u with acute","alternative":"latin small letter u acute","short":"u acute"},"mathspeak":{"default":"modifying above u with acute","brief":"mod above u with acute","sbrief":"mod above u with acute"}}},{"category":"Ll","key":"00FB","mappings":{"default":{"default":"latin small letter u with circumflex","alternative":"latin small letter u hat","short":"u hat"},"mathspeak":{"default":"modifying above u with caret","brief":"mod above u with caret","sbrief":"mod above u with caret"}}},{"category":"Ll","key":"00FC","mappings":{"default":{"default":"latin small letter u with diaeresis","alternative":"latin small letter u double overdot","short":"u double overdot"},"mathspeak":{"default":"modifying above u with double dot","brief":"mod above u with double dot","sbrief":"mod above u with double dot"}}},{"category":"Ll","key":"00FD","mappings":{"default":{"default":"latin small letter y with acute","alternative":"latin small letter y acute","short":"y acute"},"mathspeak":{"default":"modifying above y with acute","brief":"mod above y with acute","sbrief":"mod above y with acute"}}},{"category":"Ll","key":"00FF","mappings":{"default":{"default":"latin small letter y with diaeresis","alternative":"latin small letter y double overdot","short":"y double overdot"},"mathspeak":{"default":"modifying above y with double dot","brief":"mod above y with double dot","sbrief":"mod above y with double dot"}}},{"category":"Ll","key":"0101","mappings":{"default":{"default":"latin small letter a with macron","alternative":"latin small letter a overbar","short":"a overbar"},"mathspeak":{"default":"a overbar","brief":"a overbar","sbrief":"a overbar"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"latin small letter a with breve","alternative":"latin small letter a breve","short":"a breve"},"mathspeak":{"default":"modifying above a with breve","brief":"mod above a with breve","sbrief":"mod above a with breve"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"latin small letter a with ogonek","alternative":"latin small letter a ogonek","short":"a ogonek"},"mathspeak":{"default":"modifying above a with ogonek","brief":"mod above a with ogonek","sbrief":"mod above a with ogonek"}}},{"category":"Ll","key":"0107","mappings":{"default":{"default":"latin small letter c with acute","alternative":"latin small letter c acute","short":"c acute"},"mathspeak":{"default":"modifying above c with acute","brief":"mod above c with acute","sbrief":"mod above c with acute"}}},{"category":"Ll","key":"0109","mappings":{"default":{"default":"latin small letter c with circumflex","alternative":"latin small letter c hat","short":"c hat"},"mathspeak":{"default":"modifying above c with caret","brief":"mod above c with caret","sbrief":"mod above c with caret"}}},{"category":"Ll","key":"010B","mappings":{"default":{"default":"latin small letter c with dot above","alternative":"latin small letter c dot","short":"c overdot"},"mathspeak":{"default":"modifying above c with dot","brief":"mod above c with dot","sbrief":"mod above c with dot"}}},{"category":"Ll","key":"010D","mappings":{"default":{"default":"latin small letter c with caron","alternative":"latin small letter c hacek","short":"c caron"},"mathspeak":{"default":"modifying above c with caron","brief":"mod above c with caron","sbrief":"mod above c with caron"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"latin small letter d with caron","alternative":"latin small letter d hacek","short":"d caron"},"mathspeak":{"default":"modifying above d with caron","brief":"mod above d with caron","sbrief":"mod above d with caron"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"latin small letter e with macron","alternative":"latin small letter e overbar","short":"e overbar"},"mathspeak":{"default":"e overbar","brief":"e overbar","sbrief":"e overbar"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"latin small letter e with breve","alternative":"latin small letter e breve","short":"e breve"},"mathspeak":{"default":"modifying above e with breve","brief":"mod above e with breve","sbrief":"mod above e with breve"}}},{"category":"Ll","key":"0117","mappings":{"default":{"default":"latin small letter e with dot above","alternative":"latin small letter e dot","short":"e overdot"},"mathspeak":{"default":"modifying above e with dot","brief":"mod above e with dot","sbrief":"mod above e with dot"}}},{"category":"Ll","key":"0119","mappings":{"default":{"default":"latin small letter e with ogonek","alternative":"latin small letter e ogonek","short":"e ogonek"},"mathspeak":{"default":"modifying above e with ogonek","brief":"mod above e with ogonek","sbrief":"mod above e with ogonek"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"latin small letter e with caron","alternative":"latin small letter e hacek","short":"e caron"},"mathspeak":{"default":"modifying above e with caron","brief":"mod above e with caron","sbrief":"mod above e with caron"}}},{"category":"Ll","key":"011D","mappings":{"default":{"default":"latin small letter g with circumflex","alternative":"latin small letter g hat","short":"g hat"},"mathspeak":{"default":"modifying above g with caret","brief":"mod above g with caret","sbrief":"mod above g with caret"}}},{"category":"Ll","key":"011F","mappings":{"default":{"default":"latin small letter g with breve","alternative":"latin small letter g breve","short":"g breve"},"mathspeak":{"default":"modifying above g with breve","brief":"mod above g with breve","sbrief":"mod above g with breve"}}},{"category":"Ll","key":"0121","mappings":{"default":{"default":"latin small letter g with dot above","alternative":"latin small letter g dot","short":"g overdot"},"mathspeak":{"default":"modifying above g with dot","brief":"mod above g with dot","sbrief":"mod above g with dot"}}},{"category":"Ll","key":"0123","mappings":{"default":{"default":"latin small letter g with cedilla","alternative":"latin small letter g cedilla","short":"g cedilla"},"mathspeak":{"default":"modifying above g with cedilla","brief":"mod above g with cedilla","sbrief":"mod above g with cedilla"}}},{"category":"Ll","key":"0125","mappings":{"default":{"default":"latin small letter h with circumflex","alternative":"latin small letter h hat","short":"h hat"},"mathspeak":{"default":"modifying above h with caret","brief":"mod above h with caret","sbrief":"mod above h with caret"}}},{"category":"Ll","key":"0129","mappings":{"default":{"default":"latin small letter i with tilde","alternative":"latin small letter i tilde","short":"i tilde"},"mathspeak":{"default":"i overtilde","brief":"i overtilde","sbrief":"i overtilde"}}},{"category":"Ll","key":"012B","mappings":{"default":{"default":"latin small letter i with macron","alternative":"latin small letter i overbar","short":"i overbar"},"mathspeak":{"default":"i overbar","brief":"i overbar","sbrief":"i overbar"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"latin small letter i with breve","alternative":"latin small letter i breve","short":"i breve"},"mathspeak":{"default":"modifying above i with breve","brief":"mod above i with breve","sbrief":"mod above i with breve"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"latin small letter i with ogonek","alternative":"latin small letter i ogonek","short":"i ogonek"},"mathspeak":{"default":"modifying above i with ogonek","brief":"mod above i with ogonek","sbrief":"mod above i with ogonek"}}},{"category":"Ll","key":"0131","mappings":{"default":{"default":"latin small letter dotless i","alternative":"latin small letter dotless i","short":"dotless i"},"mathspeak":{"default":"modifying above d with tless i","brief":"mod above d with tless i","sbrief":"mod above d with tless i"}}},{"category":"Ll","key":"0135","mappings":{"default":{"default":"latin small letter j circumflex","alternative":"latin small letter j hat","short":"j hat"},"mathspeak":{"default":"modifying above j with caret","brief":"mod above j with caret","sbrief":"mod above j with caret"}}},{"category":"Ll","key":"0137","mappings":{"default":{"default":"latin small letter k with cedilla","alternative":"latin small letter k cedilla","short":"k cedilla"},"mathspeak":{"default":"modifying above k with cedilla","brief":"mod above k with cedilla","sbrief":"mod above k with cedilla"}}},{"category":"Ll","key":"013A","mappings":{"default":{"default":"latin small letter l with acute","alternative":"latin small letter l acute","short":"l acute"},"mathspeak":{"default":"modifying above l with acute","brief":"mod above l with acute","sbrief":"mod above l with acute"}}},{"category":"Ll","key":"013C","mappings":{"default":{"default":"latin small letter l with cedilla","alternative":"latin small letter l cedilla","short":"l cedilla"},"mathspeak":{"default":"modifying above l with cedilla","brief":"mod above l with cedilla","sbrief":"mod above l with cedilla"}}},{"category":"Ll","key":"013E","mappings":{"default":{"default":"latin small letter l with caron","alternative":"latin small letter l hacek","short":"l caron"},"mathspeak":{"default":"modifying above l with caron","brief":"mod above l with caron","sbrief":"mod above l with caron"}}},{"category":"Ll","key":"0140","mappings":{"default":{"default":"latin small letter l with middle dot","alternative":"latin small letter l middle dot","short":"l middle dot"},"mathspeak":{"default":"modifying above l with middle dot","brief":"mod above l with middle dot","sbrief":"mod above l with middle dot"}}},{"category":"Ll","key":"0144","mappings":{"default":{"default":"latin small letter n with acute","alternative":"latin small letter n acute","short":"n acute"},"mathspeak":{"default":"modifying above n with acute","brief":"mod above n with acute","sbrief":"mod above n with acute"}}},{"category":"Ll","key":"0146","mappings":{"default":{"default":"latin small letter n with cedilla","alternative":"latin small letter n cedilla","short":"n cedilla"},"mathspeak":{"default":"modifying above n with cedilla","brief":"mod above n with cedilla","sbrief":"mod above n with cedilla"}}},{"category":"Ll","key":"0148","mappings":{"default":{"default":"latin small letter n with caron","alternative":"latin small letter n hacek","short":"n caron"},"mathspeak":{"default":"modifying above n with caron","brief":"mod above n with caron","sbrief":"mod above n with caron"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"latin small letter o macron","alternative":"latin small letter o overbar","short":"o overbar"},"mathspeak":{"default":"o overbar","brief":"o overbar","sbrief":"o overbar"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"latin small letter o with breve","alternative":"latin small letter o breve","short":"o breve"},"mathspeak":{"default":"modifying above o with breve","brief":"mod above o with breve","sbrief":"mod above o with breve"}}},{"category":"Ll","key":"0151","mappings":{"default":{"default":"latin small letter o with double acute","alternative":"latin small letter o double acute","short":"o double acute"},"mathspeak":{"default":"modifying above o with double acute","brief":"mod above o with double acute","sbrief":"mod above o with double acute"}}},{"category":"Ll","key":"0155","mappings":{"default":{"default":"latin small letter r with acute","alternative":"latin small letter r acute","short":"r acute"},"mathspeak":{"default":"modifying above r with acute","brief":"mod above r with acute","sbrief":"mod above r with acute"}}},{"category":"Ll","key":"0157","mappings":{"default":{"default":"latin small letter r with cedilla","alternative":"latin small letter r cedilla","short":"r cedilla"},"mathspeak":{"default":"modifying above r with cedilla","brief":"mod above r with cedilla","sbrief":"mod above r with cedilla"}}},{"category":"Ll","key":"0159","mappings":{"default":{"default":"latin small letter r with caron","alternative":"latin small letter r hacek","short":"r caron"},"mathspeak":{"default":"modifying above r with caron","brief":"mod above r with caron","sbrief":"mod above r with caron"}}},{"category":"Ll","key":"015B","mappings":{"default":{"default":"latin small letter s with acute","alternative":"latin small letter s acute","short":"s acute"},"mathspeak":{"default":"modifying above s with acute","brief":"mod above s with acute","sbrief":"mod above s with acute"}}},{"category":"Ll","key":"015D","mappings":{"default":{"default":"latin small letter s with circumflex","alternative":"latin small letter s hat","short":"s hat"},"mathspeak":{"default":"modifying above s with caret","brief":"mod above s with caret","sbrief":"mod above s with caret"}}},{"category":"Ll","key":"015F","mappings":{"default":{"default":"latin small letter s with cedilla","alternative":"latin small letter s cedilla","short":"s cedilla"},"mathspeak":{"default":"modifying above s with cedilla","brief":"mod above s with cedilla","sbrief":"mod above s with cedilla"}}},{"category":"Ll","key":"0161","mappings":{"default":{"default":"latin small letter s with caron","alternative":"latin small letter s hacek","short":"s caron"},"mathspeak":{"default":"modifying above s with caron","brief":"mod above s with caron","sbrief":"mod above s with caron"}}},{"category":"Ll","key":"0163","mappings":{"default":{"default":"latin small letter t with cedilla","alternative":"latin small letter t cedilla","short":"t cedilla"},"mathspeak":{"default":"modifying above t with cedilla","brief":"mod above t with cedilla","sbrief":"mod above t with cedilla"}}},{"category":"Ll","key":"0165","mappings":{"default":{"default":"latin small letter t with caron","alternative":"latin small letter t hacek","short":"t caron"},"mathspeak":{"default":"modifying above t with caron","brief":"mod above t with caron","sbrief":"mod above t with caron"}}},{"category":"Ll","key":"0169","mappings":{"default":{"default":"latin small letter u with tilde","alternative":"latin small letter u tilde","short":"u tilde"},"mathspeak":{"default":"u overtilde","brief":"u overtilde","sbrief":"u overtilde"}}},{"category":"Ll","key":"016B","mappings":{"default":{"default":"latin small letter u with macron","alternative":"latin small letter u overbar","short":"u overbar"},"mathspeak":{"default":"u overbar","brief":"u overbar","sbrief":"u overbar"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"latin small letter u with breve","alternative":"latin small letter u breve","short":"u breve"},"mathspeak":{"default":"modifying above u with breve","brief":"mod above u with breve","sbrief":"mod above u with breve"}}},{"category":"Ll","key":"016F","mappings":{"default":{"default":"latin small letter u with ring above","alternative":"latin small letter u ring","short":"u ring"},"mathspeak":{"default":"modifying above u with ring","brief":"mod above u with ring","sbrief":"mod above u with ring"}}},{"category":"Ll","key":"0171","mappings":{"default":{"default":"latin small letter u with double acute","alternative":"latin small letter u double acute","short":"u double acute"},"mathspeak":{"default":"modifying above u with double acute","brief":"mod above u with double acute","sbrief":"mod above u with double acute"}}},{"category":"Ll","key":"0173","mappings":{"default":{"default":"latin small letter u with ogonek","alternative":"latin small letter u ogonek","short":"u ogonek"},"mathspeak":{"default":"modifying above u with ogonek","brief":"mod above u with ogonek","sbrief":"mod above u with ogonek"}}},{"category":"Ll","key":"0175","mappings":{"default":{"default":"latin small letter w with circumflex","alternative":"latin small letter w hat","short":"w hat"},"mathspeak":{"default":"modifying above w with caret","brief":"mod above w with caret","sbrief":"mod above w with caret"}}},{"category":"Ll","key":"0177","mappings":{"default":{"default":"latin small letter y with circumflex","alternative":"latin small letter y hat","short":"y hat"},"mathspeak":{"default":"modifying above y with caret","brief":"mod above y with caret","sbrief":"mod above y with caret"}}},{"category":"Ll","key":"017A","mappings":{"default":{"default":"latin small letter z with acute","alternative":"latin small letter z acute","short":"z acute"},"mathspeak":{"default":"modifying above z with acute","brief":"mod above z with acute","sbrief":"mod above z with acute"}}},{"category":"Ll","key":"017C","mappings":{"default":{"default":"latin small letter z with dot above","alternative":"latin small letter z dot","short":"z overdot"},"mathspeak":{"default":"modifying above z with dot","brief":"mod above z with dot","sbrief":"mod above z with dot"}}},{"category":"Ll","key":"017E","mappings":{"default":{"default":"latin small letter z with caron","alternative":"latin small letter z hacek","short":"z caron"},"mathspeak":{"default":"modifying above z with caron","brief":"mod above z with caron","sbrief":"mod above z with caron"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"latin small letter a with caron","alternative":"latin small letter a hacek","short":"a caron"},"mathspeak":{"default":"modifying above a with caron","brief":"mod above a with caron","sbrief":"mod above a with caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"latin small letter i with caron","alternative":"latin small letter i hacek","short":"i caron"},"mathspeak":{"default":"modifying above i with caron","brief":"mod above i with caron","sbrief":"mod above i with caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"latin small letter o with caron","alternative":"latin small letter o hacek","short":"o caron"},"mathspeak":{"default":"modifying above o with caron","brief":"mod above o with caron","sbrief":"mod above o with caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"latin small letter u with caron","alternative":"latin small letter u hacek","short":"u caron"},"mathspeak":{"default":"modifying above u with caron","brief":"mod above u with caron","sbrief":"mod above u with caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"latin small letter g with caron","alternative":"latin small letter g hacek","short":"g caron"},"mathspeak":{"default":"modifying above g with caron","brief":"mod above g with caron","sbrief":"mod above g with caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"latin small letter k with caron","alternative":"latin small letter k hacek","short":"k caron"},"mathspeak":{"default":"modifying above k with caron","brief":"mod above k with caron","sbrief":"mod above k with caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"latin small letter o with ogonek","alternative":"latin small letter o ogonek","short":"o ogonek"},"mathspeak":{"default":"modifying above o with ogonek","brief":"mod above o with ogonek","sbrief":"mod above o with ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"latin small letter j with caron","alternative":"latin small letter j hacek","short":"j caron"},"mathspeak":{"default":"modifying above j with caron","brief":"mod above j with caron","sbrief":"mod above j with caron"}}},{"category":"Ll","key":"01F5","mappings":{"default":{"default":"latin small letter g with acute","alternative":"latin small letter g acute","short":"g acute"},"mathspeak":{"default":"modifying above g with acute","brief":"mod above g with acute","sbrief":"mod above g with acute"}}},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"latin small letter n with grave","alternative":"latin small letter n grave","short":"n grave"},"mathspeak":{"default":"modifying above n with grave","brief":"mod above n with grave","sbrief":"mod above n with grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"latin small letter a with double grave","alternative":"latin small letter a double grave","short":"a double grave"},"mathspeak":{"default":"modifying above a with double grave","brief":"mod above a with double grave","sbrief":"mod above a with double grave"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"latin small letter a with inverted breve","alternative":"latin small letter a inverted breve","short":"a inverted breve"},"mathspeak":{"default":"modifying above a with inverted breve","brief":"mod above a with inverted breve","sbrief":"mod above a with inverted breve"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"latin small letter e with double grave","alternative":"latin small letter e double grave","short":"e double grave"},"mathspeak":{"default":"modifying above e with double grave","brief":"mod above e with double grave","sbrief":"mod above e with double grave"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"latin small letter e with inverted breve","alternative":"latin small letter e inverted breve","short":"e inverted breve"},"mathspeak":{"default":"modifying above e with inverted breve","brief":"mod above e with inverted breve","sbrief":"mod above e with inverted breve"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"latin small letter i with double grave","alternative":"latin small letter i double grave","short":"i double grave"},"mathspeak":{"default":"modifying above i with double grave","brief":"mod above i with double grave","sbrief":"mod above i with double grave"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"latin small letter i with inverted breve","alternative":"latin small letter i inverted breve","short":"i inverted breve"},"mathspeak":{"default":"modifying above i with inverted breve","brief":"mod above i with inverted breve","sbrief":"mod above i with inverted breve"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"latin small letter o with double grave","alternative":"latin small letter o double grave","short":"o double grave"},"mathspeak":{"default":"modifying above o with double grave","brief":"mod above o with double grave","sbrief":"mod above o with double grave"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"latin small letter o with inverted breve","alternative":"latin small letter o inverted breve","short":"o inverted breve"},"mathspeak":{"default":"modifying above o with inverted breve","brief":"mod above o with inverted breve","sbrief":"mod above o with inverted breve"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"latin small letter r with double grave","alternative":"latin small letter r double grave","short":"r double grave"},"mathspeak":{"default":"modifying above r with double grave","brief":"mod above r with double grave","sbrief":"mod above r with double grave"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"latin small letter r with inverted breve","alternative":"latin small letter r inverted breve","short":"r inverted breve"},"mathspeak":{"default":"modifying above r with inverted breve","brief":"mod above r with inverted breve","sbrief":"mod above r with inverted breve"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"latin small letter u with double grave","alternative":"latin small letter u double grave","short":"u double grave"},"mathspeak":{"default":"modifying above u with double grave","brief":"mod above u with double grave","sbrief":"mod above u with double grave"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"latin small letter u with inverted breve","alternative":"latin small letter u inverted breve","short":"u inverted breve"},"mathspeak":{"default":"modifying above u with inverted breve","brief":"mod above u with inverted breve","sbrief":"mod above u with inverted breve"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"latin small letter s with comma below","alternative":"latin small letter s comma below","short":"s comma below"},"mathspeak":{"default":"modifying below s with comma below","brief":"mod below s with comma below","sbrief":"mod below s with comma below"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"latin small letter t with comma below","alternative":"latin small letter t comma below","short":"t comma below"},"mathspeak":{"default":"modifying below t with comma below","brief":"mod below t with comma below","sbrief":"mod below t with comma below"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"latin small letter h with caron","alternative":"latin small letter h caron","short":"h caron"},"mathspeak":{"default":"modifying above h with caron","brief":"mod above h with caron","sbrief":"mod above h with caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"latin small letter a with dot above","alternative":"latin small letter a overdot","short":"a overdot"},"mathspeak":{"default":"modifying above a with dot","brief":"mod above a with dot","sbrief":"mod above a with dot"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"latin small letter e with cedilla","alternative":"latin small letter e cedilla","short":"e cedilla"},"mathspeak":{"default":"modifying above e with cedilla","brief":"mod above e with cedilla","sbrief":"mod above e with cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"latin small letter o with dot above","alternative":"latin small letter o overdot","short":"o overdot"},"mathspeak":{"default":"modifying above o with dot","brief":"mod above o with dot","sbrief":"mod above o with dot"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"latin small letter y with macron","alternative":"latin small letter y overbar","short":"y overbar"},"mathspeak":{"default":"y overbar","brief":"y overbar","sbrief":"y overbar"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"latin small letter dotless j","alternative":"latin small letter dotless j","short":"dotless j"},"mathspeak":{"default":"modifying above d with tless j","brief":"mod above d with tless j","sbrief":"mod above d with tless j"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"latin small letter a ring below","alternative":"latin small letter a ring below","short":"a ring below"},"mathspeak":{"default":"modifying below a with ring below","brief":"mod below a with ring below","sbrief":"mod below a with ring below"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"latin small letter b with dot above","alternative":"latin small letter b overdot","short":"b overdot"},"mathspeak":{"default":"modifying above b with dot","brief":"mod above b with dot","sbrief":"mod above b with dot"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"latin small letter b with dot below","alternative":"latin small letter b underdot","short":"b underdot"},"mathspeak":{"default":"modifying below b with dot","brief":"mod below b with dot","sbrief":"mod below b with dot"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"latin small letter b with line below","alternative":"latin small letter b underbar","short":"b underbar"},"mathspeak":{"default":"b underbar","brief":"b underbar","sbrief":"b underbar"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"latin small letter d with dot above","alternative":"latin small letter d overdot","short":"d overdot"},"mathspeak":{"default":"modifying above d with dot","brief":"mod above d with dot","sbrief":"mod above d with dot"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"latin small letter d with dot below","alternative":"latin small letter d underdot","short":"d underdot"},"mathspeak":{"default":"modifying below d with dot","brief":"mod below d with dot","sbrief":"mod below d with dot"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"latin small letter d with line below","alternative":"latin small letter d underbar","short":"d underbar"},"mathspeak":{"default":"d underbar","brief":"d underbar","sbrief":"d underbar"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"latin small letter d with cedilla","alternative":"latin small letter d cedilla","short":"d cedilla"},"mathspeak":{"default":"modifying above d with cedilla","brief":"mod above d with cedilla","sbrief":"mod above d with cedilla"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"latin small letter d with circumflex below","alternative":"latin small letter d underhat","short":"d underhat"},"mathspeak":{"default":"modifying below d with caret","brief":"mod below d with caret","sbrief":"mod below d with caret"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"latin small letter e with circumflex below","alternative":"latin small letter e underhat","short":"e underhat"},"mathspeak":{"default":"modifying below e with caret","brief":"mod below e with caret","sbrief":"mod below e with caret"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"latin small letter e with tilde below","alternative":"latin small letter e tilde below","short":"e tilde below"},"mathspeak":{"default":"e undertilde","brief":"e undertilde","sbrief":"e undertilde"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"latin small letter f with dot above","alternative":"latin small letter f overdot","short":"f overdot"},"mathspeak":{"default":"modifying above f with dot","brief":"mod above f with dot","sbrief":"mod above f with dot"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"latin small letter g with macron","alternative":"latin small letter g overbar","short":"g overbar"},"mathspeak":{"default":"g overbar","brief":"g overbar","sbrief":"g overbar"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"latin small letter h with dot above","alternative":"latin small letter h overdot","short":"h overdot"},"mathspeak":{"default":"modifying above h with dot","brief":"mod above h with dot","sbrief":"mod above h with dot"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"latin small letter h with dot below","alternative":"latin small letter h underdot","short":"h underdot"},"mathspeak":{"default":"modifying below h with dot","brief":"mod below h with dot","sbrief":"mod below h with dot"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"latin small letter h with diaeresis","alternative":"latin small letter h double overdot","short":"h double overdot"},"mathspeak":{"default":"modifying above h with double dot","brief":"mod above h with double dot","sbrief":"mod above h with double dot"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"latin small letter h with cedilla","alternative":"latin small letter h cedilla","short":"h cedilla"},"mathspeak":{"default":"modifying above h with cedilla","brief":"mod above h with cedilla","sbrief":"mod above h with cedilla"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"latin small letter h with breve below","alternative":"latin small letter h breve below","short":"h breve below"},"mathspeak":{"default":"modifying below h with breve below","brief":"mod below h with breve below","sbrief":"mod below h with breve below"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"latin small letter i with tilde below","alternative":"latin small letter i tilde below","short":"i tilde below"},"mathspeak":{"default":"i undertilde","brief":"i undertilde","sbrief":"i undertilde"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"latin small letter k with acute","alternative":"latin small letter k acute","short":"k acute"},"mathspeak":{"default":"modifying above k with acute","brief":"mod above k with acute","sbrief":"mod above k with acute"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"latin small letter k with dot below","alternative":"latin small letter k underdot","short":"k underdot"},"mathspeak":{"default":"modifying below k with dot","brief":"mod below k with dot","sbrief":"mod below k with dot"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"latin small letter k with line below","alternative":"latin small letter k underbar","short":"k underbar"},"mathspeak":{"default":"k underbar","brief":"k underbar","sbrief":"k underbar"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"latin small letter l with dot below","alternative":"latin small letter l underdot","short":"l underdot"},"mathspeak":{"default":"modifying below l with dot","brief":"mod below l with dot","sbrief":"mod below l with dot"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"latin small letter l with line below","alternative":"latin small letter l underbar","short":"l underbar"},"mathspeak":{"default":"l underbar","brief":"l underbar","sbrief":"l underbar"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"latin small letter l with circumflex below","alternative":"latin small letter l underhat","short":"l underhat"},"mathspeak":{"default":"modifying below l with caret","brief":"mod below l with caret","sbrief":"mod below l with caret"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"latin small letter m with acute","alternative":"latin small letter m acute","short":"m acute"},"mathspeak":{"default":"modifying above m with acute","brief":"mod above m with acute","sbrief":"mod above m with acute"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"latin small letter m with dot above","alternative":"latin small letter m overdot","short":"m overdot"},"mathspeak":{"default":"modifying above m with dot","brief":"mod above m with dot","sbrief":"mod above m with dot"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"latin small letter m with dot below","alternative":"latin small letter m underdot","short":"m underdot"},"mathspeak":{"default":"modifying below m with dot","brief":"mod below m with dot","sbrief":"mod below m with dot"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"latin small letter n with dot above","alternative":"latin small letter n overdot","short":"n overdot"},"mathspeak":{"default":"modifying above n with dot","brief":"mod above n with dot","sbrief":"mod above n with dot"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"latin small letter n with dot below","alternative":"latin small letter n underdot","short":"n underdot"},"mathspeak":{"default":"modifying below n with dot","brief":"mod below n with dot","sbrief":"mod below n with dot"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"latin small letter n with line below","alternative":"latin small letter n underbar","short":"n underbar"},"mathspeak":{"default":"n underbar","brief":"n underbar","sbrief":"n underbar"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"latin small letter n with circumflex below","alternative":"latin small letter n underhat","short":"n underhat"},"mathspeak":{"default":"modifying below n with caret","brief":"mod below n with caret","sbrief":"mod below n with caret"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"latin small letter p with acute","alternative":"latin small letter p acute","short":"p acute"},"mathspeak":{"default":"modifying above p with acute","brief":"mod above p with acute","sbrief":"mod above p with acute"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"latin small letter p with dot above","alternative":"latin small letter p overdot","short":"p overdot"},"mathspeak":{"default":"modifying above p with dot","brief":"mod above p with dot","sbrief":"mod above p with dot"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"latin small letter r with dot above","alternative":"latin small letter r overdot","short":"r overdot"},"mathspeak":{"default":"modifying above r with dot","brief":"mod above r with dot","sbrief":"mod above r with dot"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"latin small letter r with dot below","alternative":"latin small letter r underdot","short":"r underdot"},"mathspeak":{"default":"modifying below r with dot","brief":"mod below r with dot","sbrief":"mod below r with dot"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"latin small letter r with line below","alternative":"latin small letter r underbar","short":"r underbar"},"mathspeak":{"default":"r underbar","brief":"r underbar","sbrief":"r underbar"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"latin small letter s with dot above","alternative":"latin small letter s overdot","short":"s overdot"},"mathspeak":{"default":"modifying above s with dot","brief":"mod above s with dot","sbrief":"mod above s with dot"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"latin small letter s with dot below","alternative":"latin small letter s underdot","short":"s underdot"},"mathspeak":{"default":"modifying below s with dot","brief":"mod below s with dot","sbrief":"mod below s with dot"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"latin small letter t with dot above","alternative":"latin small letter t overdot","short":"t overdot"},"mathspeak":{"default":"modifying above t with dot","brief":"mod above t with dot","sbrief":"mod above t with dot"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"latin small letter t with dot below","alternative":"latin small letter t underdot","short":"t underdot"},"mathspeak":{"default":"modifying below t with dot","brief":"mod below t with dot","sbrief":"mod below t with dot"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"latin small letter t with line below","alternative":"latin small letter t underbar","short":"t underbar"},"mathspeak":{"default":"t underbar","brief":"t underbar","sbrief":"t underbar"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"latin small letter t with circumflex below","alternative":"latin small letter t underhat","short":"t underhat"},"mathspeak":{"default":"modifying below t with caret","brief":"mod below t with caret","sbrief":"mod below t with caret"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"latin small letter u with diaeresis below","alternative":"latin small letter u double underdot","short":"u double underdot"},"mathspeak":{"default":"modifying below u with double dot","brief":"mod below u with double dot","sbrief":"mod below u with double dot"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"latin small letter u with tilde below","alternative":"latin small letter u tilde below","short":"u tilde below"},"mathspeak":{"default":"u undertilde","brief":"u undertilde","sbrief":"u undertilde"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"latin small letter u with circumflex below","alternative":"latin small letter u underhat","short":"u underhat"},"mathspeak":{"default":"modifying below u with caret","brief":"mod below u with caret","sbrief":"mod below u with caret"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"latin small letter v with tilde","alternative":"latin small letter v tilde","short":"v tilde"},"mathspeak":{"default":"v overtilde","brief":"v overtilde","sbrief":"v overtilde"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"latin small letter v with dot below","alternative":"latin small letter v underdot","short":"v underdot"},"mathspeak":{"default":"modifying below v with dot","brief":"mod below v with dot","sbrief":"mod below v with dot"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"latin small letter w with grave","alternative":"latin small letter w grave","short":"w grave"},"mathspeak":{"default":"modifying above w with grave","brief":"mod above w with grave","sbrief":"mod above w with grave"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"latin small letter w with acute","alternative":"latin small letter w acute","short":"w acute"},"mathspeak":{"default":"modifying above w with acute","brief":"mod above w with acute","sbrief":"mod above w with acute"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"latin small letter w with diaeresis","alternative":"latin small letter w double overdot","short":"w double overdot"},"mathspeak":{"default":"modifying above w with double dot","brief":"mod above w with double dot","sbrief":"mod above w with double dot"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"latin small letter w with dot above","alternative":"latin small letter w overdot","short":"w overdot"},"mathspeak":{"default":"modifying above w with dot","brief":"mod above w with dot","sbrief":"mod above w with dot"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"latin small letter w with dot below","alternative":"latin small letter w underdot","short":"w underdot"},"mathspeak":{"default":"modifying below w with dot","brief":"mod below w with dot","sbrief":"mod below w with dot"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"latin small letter x with dot above","alternative":"latin small letter x overdot","short":"x overdot"},"mathspeak":{"default":"modifying above x with dot","brief":"mod above x with dot","sbrief":"mod above x with dot"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"latin small letter x with diaeresis","alternative":"latin small letter x double overdot","short":"x double overdot"},"mathspeak":{"default":"modifying above x with double dot","brief":"mod above x with double dot","sbrief":"mod above x with double dot"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"latin small letter y with dot above","alternative":"latin small letter y overdot","short":"y overdot"},"mathspeak":{"default":"modifying above y with dot","brief":"mod above y with dot","sbrief":"mod above y with dot"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"latin small letter z with circumflex","alternative":"latin small letter z hat","short":"z hat"},"mathspeak":{"default":"modifying above z with caret","brief":"mod above z with caret","sbrief":"mod above z with caret"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"latin small letter z with dot below","alternative":"latin small letter z underdot","short":"z underdot"},"mathspeak":{"default":"modifying below z with dot","brief":"mod below z with dot","sbrief":"mod below z with dot"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"latin small letter z with line below","alternative":"latin small letter z underbar","short":"z underbar"},"mathspeak":{"default":"z underbar","brief":"z underbar","sbrief":"z underbar"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"latin small letter h with line below","alternative":"latin small letter h underbar","short":"h underbar"},"mathspeak":{"default":"h underbar","brief":"h underbar","sbrief":"h underbar"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"latin small letter t with diaeresis","alternative":"latin small letter t double overdot","short":"t double overdot"},"mathspeak":{"default":"modifying above t with double dot","brief":"mod above t with double dot","sbrief":"mod above t with double dot"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"latin small letter w with ring above","alternative":"latin small letter w ring","short":"w ring"},"mathspeak":{"default":"modifying above w with ring","brief":"mod above w with ring","sbrief":"mod above w with ring"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"latin small letter y with ring above","alternative":"latin small letter y ring","short":"y ring"},"mathspeak":{"default":"modifying above y with ring","brief":"mod above y with ring","sbrief":"mod above y with ring"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"latin small letter a with right half ring","alternative":"latin small letter a right half ring","short":"a right half ring"},"mathspeak":{"default":"modifying above a with right half ring","brief":"mod above a with right half ring","sbrief":"mod above a with right half ring"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"latin small letter a with dot below","alternative":"latin small letter a underdot","short":"a underdot"},"mathspeak":{"default":"modifying below a with dot","brief":"mod below a with dot","sbrief":"mod below a with dot"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"latin small letter a with hook above","alternative":"latin small letter a hook","short":"a hook"},"mathspeak":{"default":"modifying above a with hook","brief":"mod above a with hook","sbrief":"mod above a with hook"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"latin small letter e with dot below","alternative":"latin small letter e underdot","short":"e underdot"},"mathspeak":{"default":"modifying below e with dot","brief":"mod below e with dot","sbrief":"mod below e with dot"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"latin small letter e with hook above","alternative":"latin small letter e hook","short":"e hook"},"mathspeak":{"default":"modifying above e with hook","brief":"mod above e with hook","sbrief":"mod above e with hook"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"latin small letter e with tilde","alternative":"latin small letter e tilde","short":"e tilde"},"mathspeak":{"default":"e overtilde","brief":"e overtilde","sbrief":"e overtilde"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"latin small letter i with hook above","alternative":"latin small letter i hook","short":"i hook"},"mathspeak":{"default":"modifying above i with hook","brief":"mod above i with hook","sbrief":"mod above i with hook"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"latin small letter i with dot below","alternative":"latin small letter i underdot","short":"i underdot"},"mathspeak":{"default":"modifying below i with dot","brief":"mod below i with dot","sbrief":"mod below i with dot"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"latin small letter o with dot below","alternative":"latin small letter o underdot","short":"o underdot"},"mathspeak":{"default":"modifying below o with dot","brief":"mod below o with dot","sbrief":"mod below o with dot"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"latin small letter o with hook above","alternative":"latin small letter o hook","short":"o hook"},"mathspeak":{"default":"modifying above o with hook","brief":"mod above o with hook","sbrief":"mod above o with hook"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"latin small letter u with dot below","alternative":"latin small letter u underdot","short":"u underdot"},"mathspeak":{"default":"modifying below u with dot","brief":"mod below u with dot","sbrief":"mod below u with dot"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"latin small letter u with hook above","alternative":"latin small letter u hook","short":"u hook"},"mathspeak":{"default":"modifying above u with hook","brief":"mod above u with hook","sbrief":"mod above u with hook"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"latin small letter y with grave","alternative":"latin small letter y grave","short":"y grave"},"mathspeak":{"default":"modifying above y with grave","brief":"mod above y with grave","sbrief":"mod above y with grave"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"latin small letter y with dot below","alternative":"latin small letter y underdot","short":"y underdot"},"mathspeak":{"default":"modifying below y with dot","brief":"mod below y with dot","sbrief":"mod below y with dot"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"latin small letter y with hook above","alternative":"latin small letter y hook","short":"y hook"},"mathspeak":{"default":"modifying above y with hook","brief":"mod above y with hook","sbrief":"mod above y with hook"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"latin small letter y with tilde","alternative":"latin small letter y tilde","short":"y tilde"},"mathspeak":{"default":"y overtilde","brief":"y overtilde","sbrief":"y overtilde"}}}]
+"de/symbols/math_angles.js": 
+[{"locale":"de"},{"category":"Sm","key":"22BE","mappings":{"default":{"default":"rechter Winkel mit Bogen"}}},{"category":"Sm","key":"237C","mappings":{"default":{"default":"rechter Winkel mit nach unten gerichtetem Zickzackpfeil"}}},{"category":"Sm","key":"27C0","mappings":{"default":{"default":"Dreidimensionaler Winkel"}}},{"category":"Sm","key":"299B","mappings":{"default":{"default":"Gemessene Winkelöffnung links"}}},{"category":"Sm","key":"299C","mappings":{"default":{"default":"Rechtwinklige Variante mit Quadrat"}}},{"category":"Sm","key":"299D","mappings":{"default":{"default":"rechter Winkel mit Punkt gemessen"}}},{"category":"Sm","key":"299E","mappings":{"default":{"default":"Winkel mit S nach innen"}}},{"category":"Sm","key":"299F","mappings":{"default":{"default":"Spitzer Winkel"}}},{"category":"Sm","key":"29A0","mappings":{"default":{"default":"Sphärischer Öffnungswinkel nach links"}}},{"category":"Sm","key":"29A1","mappings":{"default":{"default":"Sphärischer Winkel, der sich öffnet"}}},{"category":"Sm","key":"29A2","mappings":{"default":{"default":"Gedrehter Winkel"}}},{"category":"Sm","key":"29A3","mappings":{"default":{"default":"Umgekehrter Winkel"}}},{"category":"Sm","key":"29A4","mappings":{"default":{"default":"Winkel mit Underbar"}}},{"category":"Sm","key":"29A5","mappings":{"default":{"default":"Umgekehrter Winkel mit Unterleiste"}}},{"category":"Sm","key":"29A6","mappings":{"default":{"default":"Schräger Winkel, der sich öffnet"}}},{"category":"Sm","key":"29A7","mappings":{"default":{"default":"Schräger Winkel, der sich nach unten öffnet"}}},{"category":"Sm","key":"29A8","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im Pfeil nach oben und rechts"}}},{"category":"Sm","key":"29A9","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm und Pfeil nach oben und links"}}},{"category":"Sm","key":"29AA","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im nach unten zeigenden Pfeil und rechts"}}},{"category":"Sm","key":"29AB","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im nach unten zeigenden Pfeil"}}},{"category":"Sm","key":"29AC","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im Pfeil nach rechts und oben"}}},{"category":"Sm","key":"29AD","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im Pfeil nach links und oben"}}},{"category":"Sm","key":"29AE","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm endet im nach rechts und unten zeigenden Pfeil"}}},{"category":"Sm","key":"29AF","mappings":{"default":{"default":"Gemessener Winkel mit offenem Arm und Pfeil nach links und unten"}}}]
 ,
-"en/latin-mathfonts-bold-fraktur.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital a","short":"bold fraktur cap a"},"mathspeak":{"default":"bold fraktur upper A"}},"key":"1D56C"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital b","short":"bold fraktur cap b"},"mathspeak":{"default":"bold fraktur upper B"}},"key":"1D56D"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital c","short":"bold fraktur cap c"},"mathspeak":{"default":"bold fraktur upper C"}},"key":"1D56E"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital d","short":"bold fraktur cap d"},"mathspeak":{"default":"bold fraktur upper D"}},"key":"1D56F"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital e","short":"bold fraktur cap e"},"mathspeak":{"default":"bold fraktur upper E"}},"key":"1D570"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital f","short":"bold fraktur cap f"},"mathspeak":{"default":"bold fraktur upper F"}},"key":"1D571"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital g","short":"bold fraktur cap g"},"mathspeak":{"default":"bold fraktur upper G"}},"key":"1D572"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital h","short":"bold fraktur cap h"},"mathspeak":{"default":"bold fraktur upper H"}},"key":"1D573"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital i","short":"bold fraktur cap i"},"mathspeak":{"default":"bold fraktur upper I"}},"key":"1D574"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital j","short":"bold fraktur cap j"},"mathspeak":{"default":"bold fraktur upper J"}},"key":"1D575"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital k","short":"bold fraktur cap k"},"mathspeak":{"default":"bold fraktur upper K"}},"key":"1D576"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital l","short":"bold fraktur cap l"},"mathspeak":{"default":"bold fraktur upper L"}},"key":"1D577"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital m","short":"bold fraktur cap m"},"mathspeak":{"default":"bold fraktur upper M"}},"key":"1D578"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital n","short":"bold fraktur cap n"},"mathspeak":{"default":"bold fraktur upper N"}},"key":"1D579"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital o","short":"bold fraktur cap o"},"mathspeak":{"default":"bold fraktur upper O"}},"key":"1D57A"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital p","short":"bold fraktur cap p"},"mathspeak":{"default":"bold fraktur upper P"}},"key":"1D57B"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital q","short":"bold fraktur cap q"},"mathspeak":{"default":"bold fraktur upper Q"}},"key":"1D57C"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital r","short":"bold fraktur cap r"},"mathspeak":{"default":"bold fraktur upper R"}},"key":"1D57D"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital s","short":"bold fraktur cap s"},"mathspeak":{"default":"bold fraktur upper S"}},"key":"1D57E"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital t","short":"bold fraktur cap t"},"mathspeak":{"default":"bold fraktur upper T"}},"key":"1D57F"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital u","short":"bold fraktur cap u"},"mathspeak":{"default":"bold fraktur upper U"}},"key":"1D580"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital v","short":"bold fraktur cap v"},"mathspeak":{"default":"bold fraktur upper V"}},"key":"1D581"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital w","short":"bold fraktur cap w"},"mathspeak":{"default":"bold fraktur upper W"}},"key":"1D582"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital x","short":"bold fraktur cap x"},"mathspeak":{"default":"bold fraktur upper X"}},"key":"1D583"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital y","short":"bold fraktur cap y"},"mathspeak":{"default":"bold fraktur upper Y"}},"key":"1D584"},{"category":"Lu","mappings":{"default":{"default":"bold fraktur capital z","short":"bold fraktur cap z"},"mathspeak":{"default":"bold fraktur upper Z"}},"key":"1D585"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small a","short":"bold fraktur a"}},"key":"1D586"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small b","short":"bold fraktur b"}},"key":"1D587"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small c","short":"bold fraktur c"}},"key":"1D588"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small d","short":"bold fraktur d"}},"key":"1D589"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small e","short":"bold fraktur e"}},"key":"1D58A"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small f","short":"bold fraktur f"}},"key":"1D58B"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small g","short":"bold fraktur g"}},"key":"1D58C"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small h","short":"bold fraktur h"}},"key":"1D58D"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small i","short":"bold fraktur i"}},"key":"1D58E"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small j","short":"bold fraktur j"}},"key":"1D58F"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small k","short":"bold fraktur k"}},"key":"1D590"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small l","short":"bold fraktur l"}},"key":"1D591"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small m","short":"bold fraktur m"}},"key":"1D592"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small n","short":"bold fraktur n"}},"key":"1D593"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small o","short":"bold fraktur o"}},"key":"1D594"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small p","short":"bold fraktur p"}},"key":"1D595"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small q","short":"bold fraktur q"}},"key":"1D596"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small r","short":"bold fraktur r"}},"key":"1D597"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small s","short":"bold fraktur s"}},"key":"1D598"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small t","short":"bold fraktur t"}},"key":"1D599"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small u","short":"bold fraktur u"}},"key":"1D59A"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small v","short":"bold fraktur v"}},"key":"1D59B"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small w","short":"bold fraktur w"}},"key":"1D59C"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small x","short":"bold fraktur x"}},"key":"1D59D"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small y","short":"bold fraktur y"}},"key":"1D59E"},{"category":"Ll","mappings":{"default":{"default":"bold fraktur small z","short":"bold fraktur z"}},"key":"1D59F"}]
+"de/symbols/math_arrows.js": 
+[{"locale":"de"},{"category":"Sm","key":"2190","mappings":{"default":{"default":"Pfeil nach links"}}},{"category":"Sm","key":"2191","mappings":{"default":{"default":"Aufwärtspfeil"}}},{"category":"Sm","key":"2192","mappings":{"default":{"default":"Pfeil nach rechts"}}},{"category":"Sm","key":"2193","mappings":{"default":{"default":"Pfeil nach unten"}}},{"category":"Sm","key":"2194","mappings":{"default":{"default":"Linker rechter Pfeil"}}},{"category":"So","key":"2195","mappings":{"default":{"default":"Pfeil nach oben"}}},{"category":"So","key":"2196","mappings":{"default":{"default":"Nordwestpfeil"}}},{"category":"So","key":"2197","mappings":{"default":{"default":"Nordostpfeil"}}},{"category":"So","key":"2198","mappings":{"default":{"default":"Südostpfeil"}}},{"category":"So","key":"2199","mappings":{"default":{"default":"Südwestpfeil"}}},{"category":"Sm","key":"219A","mappings":{"default":{"default":"Pfeil nach links mit Strich"}}},{"category":"Sm","key":"219B","mappings":{"default":{"default":"Pfeil nach rechts mit Strich"}}},{"category":"So","key":"219C","mappings":{"default":{"default":"Wellenpfeil nach links"}}},{"category":"So","key":"219D","mappings":{"default":{"default":"Wellenpfeil nach rechts"}}},{"category":"So","key":"219E","mappings":{"default":{"default":"Pfeil nach links mit zwei Spitzen"}}},{"category":"So","key":"219F","mappings":{"default":{"default":"Aufwärts zwei Pfeil nach unten"}}},{"category":"Sm","key":"21A0","mappings":{"default":{"default":"Pfeil nach rechts mit zwei Köpfen"}}},{"category":"So","key":"21A1","mappings":{"default":{"default":"Abwärts zwei Pfeil nach unten"}}},{"category":"So","key":"21A2","mappings":{"default":{"default":"Pfeil nach links mit Schwanz"}}},{"category":"Sm","key":"21A3","mappings":{"default":{"default":"Pfeil nach rechts mit Schwanz"}}},{"category":"So","key":"21A4","mappings":{"default":{"default":"Pfeil nach links von der Bar"}}},{"category":"So","key":"21A5","mappings":{"default":{"default":"Pfeil von der Bar nach oben"}}},{"category":"Sm","key":"21A6","mappings":{"default":{"default":"Pfeil nach rechts von der Bar"}}},{"category":"So","key":"21A7","mappings":{"default":{"default":"Pfeil von der Bar nach unten"}}},{"category":"So","key":"21A8","mappings":{"default":{"default":"Pfeil nach unten mit Basis"}}},{"category":"So","key":"21A9","mappings":{"default":{"default":"Pfeil nach links mit Haken"}}},{"category":"So","key":"21AA","mappings":{"default":{"default":"Pfeil nach rechts mit Haken"}}},{"category":"So","key":"21AB","mappings":{"default":{"default":"Pfeil nach links mit Schleife"}}},{"category":"So","key":"21AC","mappings":{"default":{"default":"Pfeil nach rechts mit Schleife"}}},{"category":"So","key":"21AD","mappings":{"default":{"default":"Linker rechter Wellenpfeil"}}},{"category":"Sm","key":"21AE","mappings":{"default":{"default":"Linker rechter Pfeil mit Strich"}}},{"category":"So","key":"21AF","mappings":{"default":{"default":"Zickzack-Pfeil nach unten"}}},{"category":"So","key":"21B0","mappings":{"default":{"default":"Aufwärtspfeil mit Spitze nach links"}}},{"category":"So","key":"21B1","mappings":{"default":{"default":"Aufwärtspfeil mit Spitze nach rechts"}}},{"category":"So","key":"21B2","mappings":{"default":{"default":"Pfeil nach unten mit Spitze nach links"}}},{"category":"So","key":"21B3","mappings":{"default":{"default":"Abwärtspfeil mit Spitze nach rechts"}}},{"category":"So","key":"21B4","mappings":{"default":{"default":"Pfeil nach rechts mit Ecke nach unten"}}},{"category":"So","key":"21B5","mappings":{"default":{"default":"Pfeil nach unten mit Ecke nach links"}}},{"category":"So","key":"21B6","mappings":{"default":{"default":"Gegen den Uhrzeigersinn oberer halbkreisförmiger Pfeil"}}},{"category":"So","key":"21B7","mappings":{"default":{"default":"Halbkreis im Uhrzeigersinn"}}},{"category":"So","key":"21B8","mappings":{"default":{"default":"Nordwestpfeil zur langen Bar"}}},{"category":"So","key":"21B9","mappings":{"default":{"default":"Pfeil nach links zum Überfahren Pfeil nach rechts zum Überfahren"}}},{"category":"So","key":"21BA","mappings":{"default":{"default":"Offener Kreispfeil gegen den Uhrzeigersinn"}}},{"category":"So","key":"21BB","mappings":{"default":{"default":"Kreispfeil im Uhrzeigersinn öffnen"}}},{"category":"So","key":"21C4","mappings":{"default":{"default":"Pfeil nach rechts über Pfeil nach links"}}},{"category":"So","key":"21C5","mappings":{"default":{"default":"Aufwärtspfeil nach links von Abwärtspfeil"}}},{"category":"So","key":"21C6","mappings":{"default":{"default":"Pfeil nach links über Pfeil nach rechts"}}},{"category":"So","key":"21C7","mappings":{"default":{"default":"Links gepaarte Pfeile"}}},{"category":"So","key":"21C8","mappings":{"default":{"default":"Aufwärts gepaarte Pfeile"}}},{"category":"So","key":"21C9","mappings":{"default":{"default":"Rechts gepaarte Pfeile"}}},{"category":"So","key":"21CA","mappings":{"default":{"default":"Abwärts gepaarte Pfeile"}}},{"category":"So","key":"21CD","mappings":{"default":{"default":"Doppelpfeil nach links mit Strich"}}},{"category":"Sm","key":"21CE","mappings":{"default":{"default":"Links Rechts Doppelpfeil mit Strich"}}},{"category":"Sm","key":"21CF","mappings":{"default":{"default":"Doppelpfeil nach rechts mit Strich"}}},{"category":"So","key":"21D0","mappings":{"default":{"default":"Doppelpfeil nach links"}}},{"category":"So","key":"21D1","mappings":{"default":{"default":"Doppelpfeil nach oben"}}},{"category":"Sm","key":"21D2","mappings":{"default":{"default":"Doppelpfeil nach rechts"}}},{"category":"So","key":"21D3","mappings":{"default":{"default":"Doppelpfeil nach unten"}}},{"category":"Sm","key":"21D4","mappings":{"default":{"default":"Linker rechter Doppelpfeil"}}},{"category":"So","key":"21D5","mappings":{"default":{"default":"Doppelpfeil nach unten"}}},{"category":"So","key":"21D6","mappings":{"default":{"default":"Nordwest-Doppelpfeil"}}},{"category":"So","key":"21D7","mappings":{"default":{"default":"Nordost-Doppelpfeil"}}},{"category":"So","key":"21D8","mappings":{"default":{"default":"Südost Doppelpfeil"}}},{"category":"So","key":"21D9","mappings":{"default":{"default":"Südwest-Doppelpfeil"}}},{"category":"So","key":"21DA","mappings":{"default":{"default":"Dreifacher Pfeil nach links"}}},{"category":"So","key":"21DB","mappings":{"default":{"default":"Dreifacher Pfeil nach rechts"}}},{"category":"So","key":"21DC","mappings":{"default":{"default":"Linker Squiggle-Pfeil"}}},{"category":"So","key":"21DD","mappings":{"default":{"default":"Nach rechts gekrümmter Pfeil"}}},{"category":"So","key":"21DE","mappings":{"default":{"default":"Aufwärtspfeil mit Doppelstrich"}}},{"category":"So","key":"21DF","mappings":{"default":{"default":"Abwärtspfeil mit Doppelstrich"}}},{"category":"So","key":"21E0","mappings":{"default":{"default":"Pfeil nach links nach links"}}},{"category":"So","key":"21E1","mappings":{"default":{"default":"Pfeil nach oben gestrichen"}}},{"category":"So","key":"21E2","mappings":{"default":{"default":"Rechts gestrichener Pfeil"}}},{"category":"So","key":"21E3","mappings":{"default":{"default":"Abwärts gestrichelter Pfeil"}}},{"category":"So","key":"21E4","mappings":{"default":{"default":"Pfeil nach links zur Bar"}}},{"category":"So","key":"21E5","mappings":{"default":{"default":"Pfeil nach rechts zur Bar"}}},{"category":"So","key":"21E6","mappings":{"default":{"default":"Weißer Pfeil nach links"}}},{"category":"So","key":"21E7","mappings":{"default":{"default":"Aufwärts weißer Pfeil"}}},{"category":"So","key":"21E8","mappings":{"default":{"default":"Rechts weißer Pfeil"}}},{"category":"So","key":"21E9","mappings":{"default":{"default":"Abwärts weißer Pfeil"}}},{"category":"So","key":"21EA","mappings":{"default":{"default":"Aufwärts weißer Pfeil von der Stange"}}},{"category":"So","key":"21EB","mappings":{"default":{"default":"Aufwärts weißer Pfeil auf Sockel"}}},{"category":"So","key":"21EC","mappings":{"default":{"default":"Aufwärts weißer Pfeil auf Sockel mit horizontaler Stange"}}},{"category":"So","key":"21ED","mappings":{"default":{"default":"Aufwärts weißer Pfeil auf Sockel mit vertikaler Stange"}}},{"category":"So","key":"21EE","mappings":{"default":{"default":"Aufwärts weißer Doppelpfeil"}}},{"category":"So","key":"21EF","mappings":{"default":{"default":"Aufwärts weißer doppelter Pfeil auf Sockel"}}},{"category":"So","key":"21F0","mappings":{"default":{"default":"Rechts weißer Pfeil von der Wand"}}},{"category":"So","key":"21F1","mappings":{"default":{"default":"Nordwestpfeil zur Ecke"}}},{"category":"So","key":"21F2","mappings":{"default":{"default":"Südostpfeil zur Ecke"}}},{"category":"So","key":"21F3","mappings":{"default":{"default":"Weißer Pfeil nach unten"}}},{"category":"Sm","key":"21F4","mappings":{"default":{"default":"rechter Pfeil mit kleinem Kreis"}}},{"category":"Sm","key":"21F5","mappings":{"default":{"default":"Abwärtspfeil nach links von Aufwärtspfeil"}}},{"category":"Sm","key":"21F6","mappings":{"default":{"default":"Drei nach rechts gerichtete Pfeile"}}},{"category":"Sm","key":"21F7","mappings":{"default":{"default":"Pfeil nach links mit vertikalem Strich"}}},{"category":"Sm","key":"21F8","mappings":{"default":{"default":"Pfeil nach rechts mit vertikalem Strich"}}},{"category":"Sm","key":"21F9","mappings":{"default":{"default":"Linker rechter Pfeil mit vertikalem Strich"}}},{"category":"Sm","key":"21FA","mappings":{"default":{"default":"Pfeil nach links mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"21FB","mappings":{"default":{"default":"Pfeil nach rechts mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"21FC","mappings":{"default":{"default":"Linker rechter Pfeil mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"21FD","mappings":{"default":{"default":"Pfeil nach links mit offenem Kopf"}}},{"category":"Sm","key":"21FE","mappings":{"default":{"default":"Pfeil nach rechts mit offenem Kopf"}}},{"category":"Sm","key":"21FF","mappings":{"default":{"default":"Linker rechter Pfeil mit offenem Kopf"}}},{"category":"So","key":"2301","mappings":{"default":{"default":"Elektrischer Pfeil"}}},{"category":"So","key":"2303","mappings":{"default":{"default":"Pfeil nach oben"}}},{"category":"So","key":"2304","mappings":{"default":{"default":"Pfeil nach unten"}}},{"category":"So","key":"2324","mappings":{"default":{"default":"Pfeilspitze zwischen zwei horizontalen Balken"}}},{"category":"So","key":"238B","mappings":{"default":{"default":"Gebrochener Kreis mit Nordwestpfeil"}}},{"category":"So","key":"2794","mappings":{"default":{"default":"Schwerer, nach rechts gerichteter Pfeil nach rechts"}}},{"category":"So","key":"2798","mappings":{"default":{"default":"Schwerer Südostpfeil"}}},{"category":"So","key":"2799","mappings":{"default":{"default":"Schwerer Pfeil nach rechts"}}},{"category":"So","key":"279A","mappings":{"default":{"default":"Schwerer Nordostpfeil"}}},{"category":"So","key":"279B","mappings":{"default":{"default":"Zeichnungspunkt Pfeil nach rechts"}}},{"category":"So","key":"279C","mappings":{"default":{"default":"Schwerer runder Pfeil nach rechts"}}},{"category":"So","key":"279D","mappings":{"default":{"default":"Dreieckköpfiger Pfeil nach rechts"}}},{"category":"So","key":"279E","mappings":{"default":{"default":"Schwerer Dreieckspfeil nach rechts"}}},{"category":"So","key":"279F","mappings":{"default":{"default":"Dreieckköpfiger Pfeil nach rechts"}}},{"category":"So","key":"27A0","mappings":{"default":{"default":"Schwerer, gestrichelter Dreieckspfeil nach rechts"}}},{"category":"So","key":"27A1","mappings":{"default":{"default":"Schwarzer Pfeil nach rechts"}}},{"category":"So","key":"27A2","mappings":{"default":{"default":"Dreidimensionale, nach oben beleuchtete Pfeilspitze"}}},{"category":"So","key":"27A3","mappings":{"default":{"default":"Dreidimensionale, von unten beleuchtete Pfeilspitze nach rechts"}}},{"category":"So","key":"27A4","mappings":{"default":{"default":"Schwarze Pfeilspitze nach rechts"}}},{"category":"So","key":"27A5","mappings":{"default":{"default":"Schwerer schwarzer Pfeil nach unten und rechts gebogen"}}},{"category":"So","key":"27A6","mappings":{"default":{"default":"Schwerer schwarzer Pfeil nach oben und rechts gebogen"}}},{"category":"So","key":"27A7","mappings":{"default":{"default":"Schwarzer nach rechts gerichteter Pfeil"}}},{"category":"So","key":"27A8","mappings":{"default":{"default":"Schwerer konkaver Spitze-Pfeil nach rechts"}}},{"category":"So","key":"27A9","mappings":{"default":{"default":"Rechts geschatteter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AA","mappings":{"default":{"default":"Links schattierter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AB","mappings":{"default":{"default":"Zurückgekippter, beschatteter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AC","mappings":{"default":{"default":"Vorne geneigter, beschatteter weißer Pfeil nach rechts"}}},{"category":"So","key":"27AD","mappings":{"default":{"default":"Schwerer unterer rechter Schatten mit weißem Pfeil nach rechts"}}},{"category":"So","key":"27AE","mappings":{"default":{"default":"Schwerer oberer rechter Schatten mit weißem Pfeil nach rechts"}}},{"category":"So","key":"27AF","mappings":{"default":{"default":"Gekerbter Pfeil nach rechts unten rechts"}}},{"category":"So","key":"27B1","mappings":{"default":{"default":"Weißer Pfeil nach rechts oben gekerbt"}}},{"category":"So","key":"27B2","mappings":{"default":{"default":"Eingekreister schwerer weißer Pfeil nach rechts"}}},{"category":"So","key":"27B3","mappings":{"default":{"default":"Pfeil mit weißer Feder nach rechts"}}},{"category":"So","key":"27B4","mappings":{"default":{"default":"Schwarz-gefiederter Südostpfeil"}}},{"category":"So","key":"27B5","mappings":{"default":{"default":"Pfeil mit schwarzer Feder nach rechts"}}},{"category":"So","key":"27B6","mappings":{"default":{"default":"Schwarzgefiederter Nordostpfeil"}}},{"category":"So","key":"27B7","mappings":{"default":{"default":"Schwerer schwarzgefiederter Südostpfeil"}}},{"category":"So","key":"27B8","mappings":{"default":{"default":"Schwerer schwarzgefiederter Pfeil nach rechts"}}},{"category":"So","key":"27B9","mappings":{"default":{"default":"Schwerer schwarzgefiederter Nordostpfeil"}}},{"category":"So","key":"27BA","mappings":{"default":{"default":"Teardrop-Barbed-Pfeil nach rechts"}}},{"category":"So","key":"27BB","mappings":{"default":{"default":"Schwerer Tropfen-Pfeil nach rechts"}}},{"category":"So","key":"27BC","mappings":{"default":{"default":"Keil-Schwanz nach rechts Pfeil"}}},{"category":"So","key":"27BD","mappings":{"default":{"default":"Schwerer, nach rechts gekeilter Pfeil"}}},{"category":"So","key":"27BE","mappings":{"default":{"default":"Offener Pfeil nach rechts"}}},{"category":"Sm","key":"27F0","mappings":{"default":{"default":"Vierfachpfeil nach oben"}}},{"category":"Sm","key":"27F1","mappings":{"default":{"default":"Vierfacher Pfeil nach unten"}}},{"category":"Sm","key":"27F2","mappings":{"default":{"default":"Kreispfeil gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"27F3","mappings":{"default":{"default":"Kreispfeil im Uhrzeigersinn"}}},{"category":"Sm","key":"27F4","mappings":{"default":{"default":"rechter Pfeil mit Circled Plus"}}},{"category":"Sm","key":"27F5","mappings":{"default":{"default":"Langer Pfeil nach links"}}},{"category":"Sm","key":"27F6","mappings":{"default":{"default":"Langer Pfeil nach rechts"}}},{"category":"Sm","key":"27F7","mappings":{"default":{"default":"Langer linker rechter Pfeil"}}},{"category":"Sm","key":"27F8","mappings":{"default":{"default":"Langer Doppelpfeil nach links"}}},{"category":"Sm","key":"27F9","mappings":{"default":{"default":"Langer Doppelpfeil nach rechts"}}},{"category":"Sm","key":"27FA","mappings":{"default":{"default":"Langer linker rechter Doppelpfeil"}}},{"category":"Sm","key":"27FB","mappings":{"default":{"default":"Langer Pfeil nach links von der Bar"}}},{"category":"Sm","key":"27FC","mappings":{"default":{"default":"Langer Rechtspfeil von der Bar"}}},{"category":"Sm","key":"27FD","mappings":{"default":{"default":"Langer Doppelpfeil nach links von der Bar"}}},{"category":"Sm","key":"27FE","mappings":{"default":{"default":"Langer Doppelpfeil nach rechts von der Bar"}}},{"category":"Sm","key":"27FF","mappings":{"default":{"default":"Langer nach rechts gerichteter Squiggle-Pfeil"}}},{"category":"Sm","key":"2900","mappings":{"default":{"default":"Pfeil nach rechts mit senkrechtem Strich"}}},{"category":"Sm","key":"2901","mappings":{"default":{"default":"Zwei Pfeil nach rechts mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2902","mappings":{"default":{"default":"Doppelpfeil nach links mit vertikalem Strich"}}},{"category":"Sm","key":"2903","mappings":{"default":{"default":"Doppelpfeil nach rechts mit vertikalem Strich"}}},{"category":"Sm","key":"2904","mappings":{"default":{"default":"Linker rechter Doppelpfeil mit vertikalem Strich"}}},{"category":"Sm","key":"2905","mappings":{"default":{"default":"Zwei Pfeil nach rechts von der Bar"}}},{"category":"Sm","key":"2906","mappings":{"default":{"default":"Doppelpfeil nach links von der Bar"}}},{"category":"Sm","key":"2907","mappings":{"default":{"default":"Doppelter Pfeil nach rechts von der Bar"}}},{"category":"Sm","key":"2908","mappings":{"default":{"default":"Abwärtspfeil mit horizontalem Strich"}}},{"category":"Sm","key":"2909","mappings":{"default":{"default":"Aufwärtspfeil mit horizontalem Anschlag"}}},{"category":"Sm","key":"290A","mappings":{"default":{"default":"Dreifachpfeil nach oben"}}},{"category":"Sm","key":"290B","mappings":{"default":{"default":"Dreifacher Pfeil nach unten"}}},{"category":"Sm","key":"290C","mappings":{"default":{"default":"Doppelpfeil nach links"}}},{"category":"Sm","key":"290D","mappings":{"default":{"default":"Doppelpfeil nach rechts"}}},{"category":"Sm","key":"290E","mappings":{"default":{"default":"Dreifacher Strichpfeil nach links"}}},{"category":"Sm","key":"290F","mappings":{"default":{"default":"Dreifacher Bindestrich nach rechts"}}},{"category":"Sm","key":"2910","mappings":{"default":{"default":"Dreipoliger Pfeil nach rechts"}}},{"category":"Sm","key":"2911","mappings":{"default":{"default":"Pfeil nach rechts mit gepunktetem Stamm"}}},{"category":"Sm","key":"2912","mappings":{"default":{"default":"Aufwärtspfeil zur Bar"}}},{"category":"Sm","key":"2913","mappings":{"default":{"default":"Abwärtspfeil zur Bar"}}},{"category":"Sm","key":"2914","mappings":{"default":{"default":"Pfeil nach rechts mit Schwanz mit senkrechtem Anschlag"}}},{"category":"Sm","key":"2915","mappings":{"default":{"default":"Pfeil nach rechts mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2916","mappings":{"default":{"default":"Nach rechts gerichteter zweiköpfiger Pfeil mit Schwanz"}}},{"category":"Sm","key":"2917","mappings":{"default":{"default":"Nach rechts gerichteter Doppelpfeil mit Schwanz mit senkrechtem Anschlag"}}},{"category":"Sm","key":"2918","mappings":{"default":{"default":"Nach rechts gerichteter Doppelpfeil mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2919","mappings":{"default":{"default":"Pfeil nach links nach links"}}},{"category":"Sm","key":"291A","mappings":{"default":{"default":"Pfeil nach rechts nach rechts"}}},{"category":"Sm","key":"291B","mappings":{"default":{"default":"Doppelter Pfeilschwanz nach links"}}},{"category":"Sm","key":"291C","mappings":{"default":{"default":"Doppelter Pfeilschwanz nach rechts"}}},{"category":"Sm","key":"291D","mappings":{"default":{"default":"Pfeil nach links zu Black Diamond"}}},{"category":"Sm","key":"291E","mappings":{"default":{"default":"Pfeil nach rechts zu Black Diamond"}}},{"category":"Sm","key":"291F","mappings":{"default":{"default":"Pfeil nach links von Bar zu Black Diamond"}}},{"category":"Sm","key":"2920","mappings":{"default":{"default":"Pfeil nach rechts von Bar zu Black Diamond"}}},{"category":"Sm","key":"2921","mappings":{"default":{"default":"Nordwest- und Südostpfeil"}}},{"category":"Sm","key":"2922","mappings":{"default":{"default":"Nordost- und Südwestpfeil"}}},{"category":"Sm","key":"2923","mappings":{"default":{"default":"Nordwestpfeil mit Haken"}}},{"category":"Sm","key":"2924","mappings":{"default":{"default":"Nordostpfeil mit Haken"}}},{"category":"Sm","key":"2925","mappings":{"default":{"default":"Südostpfeil mit Haken"}}},{"category":"Sm","key":"2926","mappings":{"default":{"default":"Südwestpfeil mit Haken"}}},{"category":"Sm","key":"2927","mappings":{"default":{"default":"Nordwestpfeil und Nordostpfeil"}}},{"category":"Sm","key":"2928","mappings":{"default":{"default":"Nordostpfeil und Südostpfeil"}}},{"category":"Sm","key":"2929","mappings":{"default":{"default":"Südostpfeil und Südwestpfeil"}}},{"category":"Sm","key":"292A","mappings":{"default":{"default":"Südwestpfeil und Nordwestpfeil"}}},{"category":"Sm","key":"292D","mappings":{"default":{"default":"Südostpfeil Kreuzung Nordostpfeil"}}},{"category":"Sm","key":"292E","mappings":{"default":{"default":"Nordostpfeil Kreuzung Südostpfeil"}}},{"category":"Sm","key":"292F","mappings":{"default":{"default":"Fallende Diagonale, die Nordostpfeil kreuzt"}}},{"category":"Sm","key":"2930","mappings":{"default":{"default":"Steigende Diagonale, die Südostpfeil kreuzt"}}},{"category":"Sm","key":"2931","mappings":{"default":{"default":"Nordostpfeilüberquerung Nordwestpfeil"}}},{"category":"Sm","key":"2932","mappings":{"default":{"default":"Nordwestpfeilüberquerung Nordostpfeil"}}},{"category":"Sm","key":"2933","mappings":{"default":{"default":"Wellenpfeil, der direkt nach rechts zeigt"}}},{"category":"Sm","key":"2934","mappings":{"default":{"default":"Pfeil nach rechts, dann nach oben gekrümmt"}}},{"category":"Sm","key":"2935","mappings":{"default":{"default":"Pfeil nach rechts, dann nach unten gekrümmt"}}},{"category":"Sm","key":"2936","mappings":{"default":{"default":"Pfeil nach unten, dann nach links gekrümmt"}}},{"category":"Sm","key":"2937","mappings":{"default":{"default":"Pfeil nach unten, dann nach rechts gekrümmt"}}},{"category":"Sm","key":"2938","mappings":{"default":{"default":"Rechtsseitiger Bogen im Uhrzeigersinn"}}},{"category":"Sm","key":"2939","mappings":{"default":{"default":"Bogen der linken Seite gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"293A","mappings":{"default":{"default":"Pfeil oben gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"293B","mappings":{"default":{"default":"Pfeil unten gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"293C","mappings":{"default":{"default":"Pfeil oben im Uhrzeigersinn mit Minus"}}},{"category":"Sm","key":"293D","mappings":{"default":{"default":"Pfeil oben gegen den Uhrzeigersinn mit Plus"}}},{"category":"Sm","key":"293E","mappings":{"default":{"default":"Rechts unten halbkreisförmig im Uhrzeigersinn"}}},{"category":"Sm","key":"293F","mappings":{"default":{"default":"Linker halbkreisförmiger Pfeil gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"2940","mappings":{"default":{"default":"Geschlossener Kreispfeil gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"2941","mappings":{"default":{"default":"Geschlossener Kreispfeil im Uhrzeigersinn"}}},{"category":"Sm","key":"2942","mappings":{"default":{"default":"Pfeil nach rechts über Kurzer Pfeil nach links"}}},{"category":"Sm","key":"2943","mappings":{"default":{"default":"Pfeil nach links über Kurzer Pfeil nach rechts"}}},{"category":"Sm","key":"2944","mappings":{"default":{"default":"Kurzer Pfeil nach rechts Über Pfeil nach links"}}},{"category":"Sm","key":"2945","mappings":{"default":{"default":"Pfeil nach rechts mit Plus unten"}}},{"category":"Sm","key":"2946","mappings":{"default":{"default":"Pfeil nach links mit Plus unten"}}},{"category":"Sm","key":"2947","mappings":{"default":{"default":"Pfeil nach rechts durch X"}}},{"category":"Sm","key":"2948","mappings":{"default":{"default":"Linker rechter Pfeil durch kleinen Kreis"}}},{"category":"Sm","key":"2949","mappings":{"default":{"default":"Aufwärts zweiköpfiger Pfeil vom kleinen Kreis"}}},{"key":"2970","mappings":{"default":{"default":"round implies"}},"category":"Sm"},{"category":"Sm","key":"2971","mappings":{"default":{"default":"Gleichheitszeichen über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2972","mappings":{"default":{"default":"Tilde-Operator über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2973","mappings":{"default":{"default":"Pfeil nach links über Tilde-Operator"}}},{"category":"Sm","key":"2974","mappings":{"default":{"default":"Pfeil nach rechts über Tilde-Operator"}}},{"category":"Sm","key":"2975","mappings":{"default":{"default":"Pfeil nach rechts fast gleich"}}},{"category":"Sm","key":"2976","mappings":{"default":{"default":"Weniger als oben Pfeil nach links"}}},{"category":"Sm","key":"2977","mappings":{"default":{"default":"Pfeil nach links durch weniger als"}}},{"category":"Sm","key":"2978","mappings":{"default":{"default":"Größer als über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2979","mappings":{"default":{"default":"Untersatz über dem Pfeil nach rechts"}}},{"category":"Sm","key":"297A","mappings":{"default":{"default":"Pfeil nach links durch Teilmenge"}}},{"category":"Sm","key":"297B","mappings":{"default":{"default":"Superset über dem Pfeil nach links"}}},{"category":"Sm","key":"29B3","mappings":{"default":{"default":"Leeres Set mit Pfeil rechts oben"}}},{"category":"Sm","key":"29B4","mappings":{"default":{"default":"Leeres Set mit linkem Pfeil oben"}}},{"category":"Sm","key":"29BD","mappings":{"default":{"default":"Pfeil nach oben durch Kreis"}}},{"category":"Sm","key":"29EA","mappings":{"default":{"default":"Schwarzer Diamant mit Pfeil nach unten"}}},{"category":"Sm","key":"29EC","mappings":{"default":{"default":"Weißer Kreis mit Pfeil nach unten"}}},{"category":"Sm","key":"29ED","mappings":{"default":{"default":"Schwarzer Kreis mit Pfeil nach unten"}}},{"category":"Sm","key":"2A17","mappings":{"default":{"default":"Integral mit Pfeil nach links mit Haken"}}},{"category":"So","key":"2B00","mappings":{"default":{"default":"North East White Arrow"}}},{"category":"So","key":"2B01","mappings":{"default":{"default":"Nordwestlicher weißer Pfeil"}}},{"category":"So","key":"2B02","mappings":{"default":{"default":"Südostweißer Pfeil"}}},{"category":"So","key":"2B03","mappings":{"default":{"default":"Südwestweißer Pfeil"}}},{"category":"So","key":"2B04","mappings":{"default":{"default":"Linker rechter weißer Pfeil"}}},{"category":"So","key":"2B05","mappings":{"default":{"default":"Schwarzer Pfeil nach links"}}},{"category":"So","key":"2B06","mappings":{"default":{"default":"Aufwärts schwarzer Pfeil"}}},{"category":"So","key":"2B07","mappings":{"default":{"default":"Abwärts schwarzer Pfeil"}}},{"category":"So","key":"2B08","mappings":{"default":{"default":"Schwarzer Nordostpfeil"}}},{"category":"So","key":"2B09","mappings":{"default":{"default":"Nordwestlicher schwarzer Pfeil"}}},{"category":"So","key":"2B0A","mappings":{"default":{"default":"Schwarzer Südostpfeil"}}},{"category":"So","key":"2B0B","mappings":{"default":{"default":"Südwestlicher schwarzer Pfeil"}}},{"category":"So","key":"2B0C","mappings":{"default":{"default":"Linker rechter schwarzer Pfeil"}}},{"category":"So","key":"2B0D","mappings":{"default":{"default":"Schwarzer Pfeil nach unten"}}},{"category":"So","key":"2B0E","mappings":{"default":{"default":"Pfeil nach rechts mit Spitze nach unten"}}},{"category":"So","key":"2B0F","mappings":{"default":{"default":"Pfeil nach rechts mit Spitze nach oben"}}},{"category":"So","key":"2B10","mappings":{"default":{"default":"Pfeil nach links mit Spitze nach unten"}}},{"category":"So","key":"2B11","mappings":{"default":{"default":"Pfeil nach links mit Spitze nach oben"}}},{"category":"Sm","key":"2B30","mappings":{"default":{"default":"Linker Pfeil mit kleinem Kreis"}}},{"category":"Sm","key":"2B31","mappings":{"default":{"default":"Drei nach links gerichtete Pfeile"}}},{"category":"Sm","key":"2B32","mappings":{"default":{"default":"Linker Pfeil mit Circled Plus"}}},{"category":"Sm","key":"2B33","mappings":{"default":{"default":"Langer nach links gerichteter Squiggle-Pfeil"}}},{"category":"Sm","key":"2B34","mappings":{"default":{"default":"Pfeil nach links mit senkrechtem Strich"}}},{"category":"Sm","key":"2B35","mappings":{"default":{"default":"Doppelpfeil nach links mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2B36","mappings":{"default":{"default":"Doppelpfeil nach links von der Bar"}}},{"category":"Sm","key":"2B37","mappings":{"default":{"default":"Pfeil nach links mit zwei Köpfen"}}},{"category":"Sm","key":"2B38","mappings":{"default":{"default":"Pfeil nach links mit gepunktetem Stamm"}}},{"category":"Sm","key":"2B39","mappings":{"default":{"default":"Pfeil nach links mit Schwanz mit vertikalem Strich"}}},{"category":"Sm","key":"2B3A","mappings":{"default":{"default":"Pfeil nach links mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2B3B","mappings":{"default":{"default":"Nach links gerichteter zweiköpfiger Pfeil mit Schwanz"}}},{"category":"Sm","key":"2B3C","mappings":{"default":{"default":"Nach links gerichteter zweiköpfiger Pfeil mit Schwanz mit vertikalem Strich"}}},{"category":"Sm","key":"2B3D","mappings":{"default":{"default":"Nach links gerichteter zweiköpfiger Pfeil mit Schwanz mit doppeltem vertikalem Strich"}}},{"category":"Sm","key":"2B3E","mappings":{"default":{"default":"Pfeil nach links durch X"}}},{"category":"Sm","key":"2B3F","mappings":{"default":{"default":"Wellenpfeil, der direkt nach links zeigt"}}},{"category":"Sm","key":"2B40","mappings":{"default":{"default":"Gleichheitszeichen über dem Pfeil nach links"}}},{"category":"Sm","key":"2B41","mappings":{"default":{"default":"Reverse-Tilde-Operator Über Linkspfeil"}}},{"category":"Sm","key":"2B42","mappings":{"default":{"default":"Pfeil nach links über der Rückseite fast gleich"}}},{"category":"Sm","key":"2B43","mappings":{"default":{"default":"Pfeil nach rechts durch mehr als"}}},{"category":"Sm","key":"2B44","mappings":{"default":{"default":"Pfeil nach rechts durch Superset"}}},{"category":"So","key":"2B45","mappings":{"default":{"default":"Vierfachpfeil nach links"}}},{"category":"So","key":"2B46","mappings":{"default":{"default":"Vierfachpfeil nach rechts"}}},{"category":"Sm","key":"2B47","mappings":{"default":{"default":"Reverse-Tilde-Operator über dem Pfeil nach rechts"}}},{"category":"Sm","key":"2B48","mappings":{"default":{"default":"Pfeil nach rechts oben fast gleich"}}},{"category":"Sm","key":"2B49","mappings":{"default":{"default":"Tilde-Operator über dem Pfeil nach links"}}},{"category":"Sm","key":"2B4A","mappings":{"default":{"default":"Pfeil nach links oben fast gleich"}}},{"category":"Sm","key":"2B4B","mappings":{"default":{"default":"Pfeil nach links über Reverse-Tilde-Operator"}}},{"category":"Sm","key":"2B4C","mappings":{"default":{"default":"Pfeil nach rechts über Reverse-Tilde-Operator"}}},{"category":"Sm","key":"FFE9","mappings":{"default":{"default":"Halbbreiter Pfeil nach links"}}},{"category":"Sm","key":"FFEA","mappings":{"default":{"default":"Halbbreiter Pfeil nach oben"}}},{"category":"Sm","key":"FFEB","mappings":{"default":{"default":"Halbbreiter Pfeil nach rechts"}}},{"category":"Sm","key":"FFEC","mappings":{"default":{"default":"Halbbreiter Pfeil nach unten"}}}]
 ,
-"en/latin-mathfonts-bold-script.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"bold script capital a","short":"bold script cap a"},"mathspeak":{"default":"bold script upper A"}},"key":"1D4D0"},{"category":"Lu","mappings":{"default":{"default":"bold script capital b","short":"bold script cap b"},"mathspeak":{"default":"bold script upper B"}},"key":"1D4D1"},{"category":"Lu","mappings":{"default":{"default":"bold script capital c","short":"bold script cap c"},"mathspeak":{"default":"bold script upper C"}},"key":"1D4D2"},{"category":"Lu","mappings":{"default":{"default":"bold script capital d","short":"bold script cap d"},"mathspeak":{"default":"bold script upper D"}},"key":"1D4D3"},{"category":"Lu","mappings":{"default":{"default":"bold script capital e","short":"bold script cap e"},"mathspeak":{"default":"bold script upper E"}},"key":"1D4D4"},{"category":"Lu","mappings":{"default":{"default":"bold script capital f","short":"bold script cap f"},"mathspeak":{"default":"bold script upper F"}},"key":"1D4D5"},{"category":"Lu","mappings":{"default":{"default":"bold script capital g","short":"bold script cap g"},"mathspeak":{"default":"bold script upper G"}},"key":"1D4D6"},{"category":"Lu","mappings":{"default":{"default":"bold script capital h","short":"bold script cap h"},"mathspeak":{"default":"bold script upper H"}},"key":"1D4D7"},{"category":"Lu","mappings":{"default":{"default":"bold script capital i","short":"bold script cap i"},"mathspeak":{"default":"bold script upper I"}},"key":"1D4D8"},{"category":"Lu","mappings":{"default":{"default":"bold script capital j","short":"bold script cap j"},"mathspeak":{"default":"bold script upper J"}},"key":"1D4D9"},{"category":"Lu","mappings":{"default":{"default":"bold script capital k","short":"bold script cap k"},"mathspeak":{"default":"bold script upper K"}},"key":"1D4DA"},{"category":"Lu","mappings":{"default":{"default":"bold script capital l","short":"bold script cap l"},"mathspeak":{"default":"bold script upper L"}},"key":"1D4DB"},{"category":"Lu","mappings":{"default":{"default":"bold script capital m","short":"bold script cap m"},"mathspeak":{"default":"bold script upper M"}},"key":"1D4DC"},{"category":"Lu","mappings":{"default":{"default":"bold script capital n","short":"bold script cap n"},"mathspeak":{"default":"bold script upper N"}},"key":"1D4DD"},{"category":"Lu","mappings":{"default":{"default":"bold script capital o","short":"bold script cap o"},"mathspeak":{"default":"bold script upper O"}},"key":"1D4DE"},{"category":"Lu","mappings":{"default":{"default":"bold script capital p","short":"bold script cap p"},"mathspeak":{"default":"bold script upper P"}},"key":"1D4DF"},{"category":"Lu","mappings":{"default":{"default":"bold script capital q","short":"bold script cap q"},"mathspeak":{"default":"bold script upper Q"}},"key":"1D4E0"},{"category":"Lu","mappings":{"default":{"default":"bold script capital r","short":"bold script cap r"},"mathspeak":{"default":"bold script upper R"}},"key":"1D4E1"},{"category":"Lu","mappings":{"default":{"default":"bold script capital s","short":"bold script cap s"},"mathspeak":{"default":"bold script upper S"}},"key":"1D4E2"},{"category":"Lu","mappings":{"default":{"default":"bold script capital t","short":"bold script cap t"},"mathspeak":{"default":"bold script upper T"}},"key":"1D4E3"},{"category":"Lu","mappings":{"default":{"default":"bold script capital u","short":"bold script cap u"},"mathspeak":{"default":"bold script upper U"}},"key":"1D4E4"},{"category":"Lu","mappings":{"default":{"default":"bold script capital v","short":"bold script cap v"},"mathspeak":{"default":"bold script upper V"}},"key":"1D4E5"},{"category":"Lu","mappings":{"default":{"default":"bold script capital w","short":"bold script cap w"},"mathspeak":{"default":"bold script upper W"}},"key":"1D4E6"},{"category":"Lu","mappings":{"default":{"default":"bold script capital x","short":"bold script cap x"},"mathspeak":{"default":"bold script upper X"}},"key":"1D4E7"},{"category":"Lu","mappings":{"default":{"default":"bold script capital y","short":"bold script cap y"},"mathspeak":{"default":"bold script upper Y"}},"key":"1D4E8"},{"category":"Lu","mappings":{"default":{"default":"bold script capital z","short":"bold script cap z"},"mathspeak":{"default":"bold script upper Z"}},"key":"1D4E9"},{"category":"Ll","mappings":{"default":{"default":"bold script small a","short":"bold script a"}},"key":"1D4EA"},{"category":"Ll","mappings":{"default":{"default":"bold script small b","short":"bold script b"}},"key":"1D4EB"},{"category":"Ll","mappings":{"default":{"default":"bold script small c","short":"bold script c"}},"key":"1D4EC"},{"category":"Ll","mappings":{"default":{"default":"bold script small d","short":"bold script d"}},"key":"1D4ED"},{"category":"Ll","mappings":{"default":{"default":"bold script small e","short":"bold script e"}},"key":"1D4EE"},{"category":"Ll","mappings":{"default":{"default":"bold script small f","short":"bold script f"}},"key":"1D4EF"},{"category":"Ll","mappings":{"default":{"default":"bold script small g","short":"bold script g"}},"key":"1D4F0"},{"category":"Ll","mappings":{"default":{"default":"bold script small h","short":"bold script h"}},"key":"1D4F1"},{"category":"Ll","mappings":{"default":{"default":"bold script small i","short":"bold script i"}},"key":"1D4F2"},{"category":"Ll","mappings":{"default":{"default":"bold script small j","short":"bold script j"}},"key":"1D4F3"},{"category":"Ll","mappings":{"default":{"default":"bold script small k","short":"bold script k"}},"key":"1D4F4"},{"category":"Ll","mappings":{"default":{"default":"bold script small l","short":"bold script l"}},"key":"1D4F5"},{"category":"Ll","mappings":{"default":{"default":"bold script small m","short":"bold script m"}},"key":"1D4F6"},{"category":"Ll","mappings":{"default":{"default":"bold script small n","short":"bold script n"}},"key":"1D4F7"},{"category":"Ll","mappings":{"default":{"default":"bold script small o","short":"bold script o"}},"key":"1D4F8"},{"category":"Ll","mappings":{"default":{"default":"bold script small p","short":"bold script p"}},"key":"1D4F9"},{"category":"Ll","mappings":{"default":{"default":"bold script small q","short":"bold script q"}},"key":"1D4FA"},{"category":"Ll","mappings":{"default":{"default":"bold script small r","short":"bold script r"}},"key":"1D4FB"},{"category":"Ll","mappings":{"default":{"default":"bold script small s","short":"bold script s"}},"key":"1D4FC"},{"category":"Ll","mappings":{"default":{"default":"bold script small t","short":"bold script t"}},"key":"1D4FD"},{"category":"Ll","mappings":{"default":{"default":"bold script small u","short":"bold script u"}},"key":"1D4FE"},{"category":"Ll","mappings":{"default":{"default":"bold script small v","short":"bold script v"}},"key":"1D4FF"},{"category":"Ll","mappings":{"default":{"default":"bold script small w","short":"bold script w"}},"key":"1D500"},{"category":"Ll","mappings":{"default":{"default":"bold script small x","short":"bold script x"}},"key":"1D501"},{"category":"Ll","mappings":{"default":{"default":"bold script small y","short":"bold script y"}},"key":"1D502"},{"category":"Ll","mappings":{"default":{"default":"bold script small z","short":"bold script z"}},"key":"1D503"}]
+"de/symbols/math_characters.js": 
+[{"locale":"de"},{"category":"Ll","key":"2113","mappings":{"default":{"default":"Skript klein L"}}},{"category":"Sm","key":"2118","mappings":{"default":{"default":"Skript groß P"}}},{"category":"Ll","key":"213C","mappings":{"default":{"default":"pi mit Doppelstrich"}}},{"category":"Ll","key":"213D","mappings":{"default":{"default":"gamma mit Doppelstrich"}}},{"category":"Lu","key":"213E","mappings":{"default":{"default":"groß Gamma mit Doppelstrich"}}},{"category":"Lu","key":"213F","mappings":{"default":{"default":"groß Pi mit Doppelstrich"}}},{"category":"Sm","key":"2140","mappings":{"default":{"default":"Summenzeichen mit Doppelstrich"}}},{"category":"Lu","key":"2145","mappings":{"default":{"default":"groß D kursiv mit Doppelstrich"}}},{"category":"Ll","mappings":{"default":{"default":"d kursiv mit Doppelstrich"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"e kursiv mit Doppelstrich"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"i kursiv mit Doppelstrich"}},"key":"2148"},{"category":"Ll","key":"2149","mappings":{"default":{"default":"j kursiv mit Doppelstrich"}}},{"category":"Ll","key":"1D6A4","mappings":{"default":{"default":"punktloses i kursiv"}}},{"category":"Ll","key":"1D6A5","mappings":{"default":{"default":"punktloses j kursiv"}}}]
 ,
-"en/latin-mathfonts-bold.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"bold capital a","short":"bold cap a"},"mathspeak":{"default":"bold upper A"}},"key":"1D400"},{"category":"Lu","mappings":{"default":{"default":"bold capital b","short":"bold cap b"},"mathspeak":{"default":"bold upper B"}},"key":"1D401"},{"category":"Lu","mappings":{"default":{"default":"bold capital c","short":"bold cap c"},"mathspeak":{"default":"bold upper C"}},"key":"1D402"},{"category":"Lu","mappings":{"default":{"default":"bold capital d","short":"bold cap d"},"mathspeak":{"default":"bold upper D"}},"key":"1D403"},{"category":"Lu","mappings":{"default":{"default":"bold capital e","short":"bold cap e"},"mathspeak":{"default":"bold upper E"}},"key":"1D404"},{"category":"Lu","mappings":{"default":{"default":"bold capital f","short":"bold cap f"},"mathspeak":{"default":"bold upper F"}},"key":"1D405"},{"category":"Lu","mappings":{"default":{"default":"bold capital g","short":"bold cap g"},"mathspeak":{"default":"bold upper G"}},"key":"1D406"},{"category":"Lu","mappings":{"default":{"default":"bold capital h","short":"bold cap h"},"mathspeak":{"default":"bold upper H"}},"key":"1D407"},{"category":"Lu","mappings":{"default":{"default":"bold capital i","short":"bold cap i"},"mathspeak":{"default":"bold upper I"}},"key":"1D408"},{"category":"Lu","mappings":{"default":{"default":"bold capital j","short":"bold cap j"},"mathspeak":{"default":"bold upper J"}},"key":"1D409"},{"category":"Lu","mappings":{"default":{"default":"bold capital k","short":"bold cap k"},"mathspeak":{"default":"bold upper K"}},"key":"1D40A"},{"category":"Lu","mappings":{"default":{"default":"bold capital l","short":"bold cap l"},"mathspeak":{"default":"bold upper L"}},"key":"1D40B"},{"category":"Lu","mappings":{"default":{"default":"bold capital m","short":"bold cap m"},"mathspeak":{"default":"bold upper M"}},"key":"1D40C"},{"category":"Lu","mappings":{"default":{"default":"bold capital n","short":"bold cap n"},"mathspeak":{"default":"bold upper N"}},"key":"1D40D"},{"category":"Lu","mappings":{"default":{"default":"bold capital o","short":"bold cap o"},"mathspeak":{"default":"bold upper O"}},"key":"1D40E"},{"category":"Lu","mappings":{"default":{"default":"bold capital p","short":"bold cap p"},"mathspeak":{"default":"bold upper P"}},"key":"1D40F"},{"category":"Lu","mappings":{"default":{"default":"bold capital q","short":"bold cap q"},"mathspeak":{"default":"bold upper Q"}},"key":"1D410"},{"category":"Lu","mappings":{"default":{"default":"bold capital r","short":"bold cap r"},"mathspeak":{"default":"bold upper R"}},"key":"1D411"},{"category":"Lu","mappings":{"default":{"default":"bold capital s","short":"bold cap s"},"mathspeak":{"default":"bold upper S"}},"key":"1D412"},{"category":"Lu","mappings":{"default":{"default":"bold capital t","short":"bold cap t"},"mathspeak":{"default":"bold upper T"}},"key":"1D413"},{"category":"Lu","mappings":{"default":{"default":"bold capital u","short":"bold cap u"},"mathspeak":{"default":"bold upper U"}},"key":"1D414"},{"category":"Lu","mappings":{"default":{"default":"bold capital v","short":"bold cap v"},"mathspeak":{"default":"bold upper V"}},"key":"1D415"},{"category":"Lu","mappings":{"default":{"default":"bold capital w","short":"bold cap w"},"mathspeak":{"default":"bold upper W"}},"key":"1D416"},{"category":"Lu","mappings":{"default":{"default":"bold capital x","short":"bold cap x"},"mathspeak":{"default":"bold upper X"}},"key":"1D417"},{"category":"Lu","mappings":{"default":{"default":"bold capital y","short":"bold cap y"},"mathspeak":{"default":"bold upper Y"}},"key":"1D418"},{"category":"Lu","mappings":{"default":{"default":"bold capital z","short":"bold cap z"},"mathspeak":{"default":"bold upper Z"}},"key":"1D419"},{"category":"Ll","mappings":{"default":{"default":"bold small a","short":"bold a"}},"key":"1D41A"},{"category":"Ll","mappings":{"default":{"default":"bold small b","short":"bold b"}},"key":"1D41B"},{"category":"Ll","mappings":{"default":{"default":"bold small c","short":"bold c"}},"key":"1D41C"},{"category":"Ll","mappings":{"default":{"default":"bold small d","short":"bold d"}},"key":"1D41D"},{"category":"Ll","mappings":{"default":{"default":"bold small e","short":"bold e"}},"key":"1D41E"},{"category":"Ll","mappings":{"default":{"default":"bold small f","short":"bold f"}},"key":"1D41F"},{"category":"Ll","mappings":{"default":{"default":"bold small g","short":"bold g"}},"key":"1D420"},{"category":"Ll","mappings":{"default":{"default":"bold small h","short":"bold h"}},"key":"1D421"},{"category":"Ll","mappings":{"default":{"default":"bold small i","short":"bold i"}},"key":"1D422"},{"category":"Ll","mappings":{"default":{"default":"bold small j","short":"bold j"}},"key":"1D423"},{"category":"Ll","mappings":{"default":{"default":"bold small k","short":"bold k"}},"key":"1D424"},{"category":"Ll","mappings":{"default":{"default":"bold small l","short":"bold l"}},"key":"1D425"},{"category":"Ll","mappings":{"default":{"default":"bold small m","short":"bold m"}},"key":"1D426"},{"category":"Ll","mappings":{"default":{"default":"bold small n","short":"bold n"}},"key":"1D427"},{"category":"Ll","mappings":{"default":{"default":"bold small o","short":"bold o"}},"key":"1D428"},{"category":"Ll","mappings":{"default":{"default":"bold small p","short":"bold p"}},"key":"1D429"},{"category":"Ll","mappings":{"default":{"default":"bold small q","short":"bold q"}},"key":"1D42A"},{"category":"Ll","mappings":{"default":{"default":"bold small r","short":"bold r"}},"key":"1D42B"},{"category":"Ll","mappings":{"default":{"default":"bold small s","short":"bold s"}},"key":"1D42C"},{"category":"Ll","mappings":{"default":{"default":"bold small t","short":"bold t"}},"key":"1D42D"},{"category":"Ll","mappings":{"default":{"default":"bold small u","short":"bold u"}},"key":"1D42E"},{"category":"Ll","mappings":{"default":{"default":"bold small v","short":"bold v"}},"key":"1D42F"},{"category":"Ll","mappings":{"default":{"default":"bold small w","short":"bold w"}},"key":"1D430"},{"category":"Ll","mappings":{"default":{"default":"bold small x","short":"bold x"}},"key":"1D431"},{"category":"Ll","mappings":{"default":{"default":"bold small y","short":"bold y"}},"key":"1D432"},{"category":"Ll","mappings":{"default":{"default":"bold small z","short":"bold z"}},"key":"1D433"}]
+"de/symbols/math_delimiters.js": 
+[{"locale":"de"},{"key":"0028","mappings":{"default":{"default":"Klammer auf"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"Klammer zu"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"eckige Klammer auf"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"eckige Klammer zu"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"geschwungene Klammer auf"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"geschwungene Klammer zu"}},"category":"Pe"},{"category":"Ps","key":"2045","mappings":{"default":{"default":"Linke eckige Klammer mit Stachel"}}},{"category":"Pe","key":"2046","mappings":{"default":{"default":"Rechte eckige Klammer mit Stachel"}}},{"category":"Sm","key":"2308","mappings":{"default":{"default":"linke Aufrundungsklammer"}}},{"category":"Sm","key":"2309","mappings":{"default":{"default":"rechte Aufrundungsklammer"}}},{"category":"Sm","key":"230A","mappings":{"default":{"default":"linke Abrundungsklammer"}}},{"category":"Sm","key":"230B","mappings":{"default":{"default":"rechter Abrundungsklammer"}}},{"category":"So","key":"230C","mappings":{"default":{"default":"unterer rechter Abschnitt"}}},{"category":"So","key":"230D","mappings":{"default":{"default":"Unterer linker Abschnitt"}}},{"category":"So","key":"230E","mappings":{"default":{"default":"Oberer rechter Abschnitt"}}},{"category":"So","key":"230F","mappings":{"default":{"default":"Oberer linker Abschnitt"}}},{"category":"So","key":"231C","mappings":{"default":{"default":"Obere linke Ecke"}}},{"category":"So","key":"231D","mappings":{"default":{"default":"Obere rechte Ecke"}}},{"category":"So","key":"231E","mappings":{"default":{"default":"Untere linke Ecke"}}},{"category":"So","key":"231F","mappings":{"default":{"default":"Rechte untere Ecke"}}},{"category":"Sm","key":"2320","mappings":{"default":{"default":"Obere Hälfte eines Integrals"}}},{"category":"Sm","key":"2321","mappings":{"default":{"default":"Untere Hälfte eines Integrals"}}},{"category":"Ps","key":"2329","mappings":{"default":{"default":"Linke spitze Klammer"}}},{"category":"Pe","key":"232A","mappings":{"default":{"default":"Rechte spitze Klammer"}}},{"category":"Sm","key":"239B","mappings":{"default":{"default":"Oberer Teil der linken Klammer"}}},{"category":"Sm","key":"239C","mappings":{"default":{"default":"Linke Klammerverlängerung"}}},{"category":"Sm","key":"239D","mappings":{"default":{"default":"Unterer Teil der linken Klammer"}}},{"category":"Sm","key":"239E","mappings":{"default":{"default":"Oberer Teil der rechten Klammer"}}},{"category":"Sm","key":"239F","mappings":{"default":{"default":"Rechte Klammerverlängerung"}}},{"category":"Sm","key":"23A0","mappings":{"default":{"default":"Unterer Teil der rechten Klammer"}}},{"category":"Sm","key":"23A1","mappings":{"default":{"default":"Oberer Teil der linken eckigen Klammer"}}},{"category":"Sm","key":"23A2","mappings":{"default":{"default":"Linke eckige Klammerverlängerung"}}},{"category":"Sm","key":"23A3","mappings":{"default":{"default":"unterer Teil der linken eckigen Klammer"}}},{"category":"Sm","key":"23A4","mappings":{"default":{"default":"Oberer Teil der rechten eckigen Klammer"}}},{"category":"Sm","key":"23A5","mappings":{"default":{"default":"Rechte eckige Klammerverlängerung"}}},{"category":"Sm","key":"23A6","mappings":{"default":{"default":"unterer Teil der rechten eckigen Klammer"}}},{"category":"Sm","key":"23A7","mappings":{"default":{"default":"oberer Teil der linken geschweiften Klammer"}}},{"category":"Sm","key":"23A8","mappings":{"default":{"default":"Mittelstück der linken geschweiften Klammer"}}},{"category":"Sm","key":"23A9","mappings":{"default":{"default":"unterer Teil der linken geschweiften Klammer"}}},{"category":"Sm","key":"23AA","mappings":{"default":{"default":"Zwischenteil einer geschweiften Klammer"}}},{"category":"Sm","key":"23AB","mappings":{"default":{"default":"oberer Teil der rechten geschweiften Klammer"}}},{"category":"Sm","key":"23AC","mappings":{"default":{"default":"Mittelstück der rechten geschweiften Klammer"}}},{"category":"Sm","key":"23AD","mappings":{"default":{"default":"unterer Teil der rechten geschweiften Klammer"}}},{"category":"Sm","key":"23AE","mappings":{"default":{"default":"Mittelteil eines Integrals"}}},{"category":"Sm","key":"23AF","mappings":{"default":{"default":"Erweiterung einer Querlinie"}}},{"category":"Sm","key":"23B0","mappings":{"default":{"default":"Geschweiftes Klammerteil oben links oder rechts unten"}}},{"category":"Sm","key":"23B1","mappings":{"default":{"default":"Geschweiftes Klammerteil oben rechts oder unten links"}}},{"category":"Sm","key":"23B2","mappings":{"default":{"default":"Oberer Teil einer Summe"}}},{"category":"Sm","key":"23B3","mappings":{"default":{"default":"Unterer Teil einer Summe"}}},{"key":"23B4","mappings":{"default":{"default":"Obere eckige Klammer"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"Untere eckige Klammer"}},"category":"So"},{"category":"So","key":"23B6","mappings":{"default":{"default":"Untere eckige Klammer auf oberer eckiger Klammer"}}},{"category":"So","key":"23B7","mappings":{"default":{"default":"Unterer Teil des Radikalsymbols"}}},{"category":"So","key":"23B8","mappings":{"default":{"default":"Linke vertikale Boxlinie"}}},{"category":"So","key":"23B9","mappings":{"default":{"default":"Rechte vertikale Boxlinie"}}},{"category":"Sm","key":"23DC","mappings":{"default":{"default":"Obere Klammer"}}},{"category":"Sm","key":"23DD","mappings":{"default":{"default":"Untere Klammer"}}},{"category":"Sm","key":"23DE","mappings":{"default":{"default":"Obere geschweifte Klammer"}}},{"category":"Sm","key":"23DF","mappings":{"default":{"default":"Untere geschweifte Klammer"}}},{"category":"Sm","key":"23E0","mappings":{"default":{"default":"Obere eckige Klammer"}}},{"category":"Sm","key":"23E1","mappings":{"default":{"default":"Untere eckige Klammer"}}},{"category":"Ps","key":"2768","mappings":{"default":{"default":"Mittlere linke Klammerverzierung"}}},{"category":"Pe","key":"2769","mappings":{"default":{"default":"Mittlere rechte Klammerverzierung"}}},{"category":"Ps","key":"276A","mappings":{"default":{"default":"Mittlere abgeflachte linke Klammerverzierung"}}},{"category":"Pe","key":"276B","mappings":{"default":{"default":"Mittlere abgeflachte rechte Klammerverzierung"}}},{"category":"Ps","key":"276C","mappings":{"default":{"default":"Mittlere nach links weisende Winkelhalterung"}}},{"category":"Pe","key":"276D","mappings":{"default":{"default":"Mittlere, rechtwinklige Winkelhalterung"}}},{"category":"Ps","key":"276E","mappings":{"default":{"default":"Schwere nach links weisende Anführungszeichen-Verzierung"}}},{"category":"Pe","key":"276F","mappings":{"default":{"default":"Schwere nach rechts zeigenden Winkel-Anführungszeichen-Verzierung"}}},{"category":"Ps","key":"2770","mappings":{"default":{"default":"Schwere nach links weisende Winkelhalterung"}}},{"category":"Pe","key":"2771","mappings":{"default":{"default":"Schwere, nach rechts weisende Winkelhalterung"}}},{"category":"Ps","key":"2772","mappings":{"default":{"default":"Leichte linke Schildpatt Bracket Ornament"}}},{"category":"Pe","key":"2773","mappings":{"default":{"default":"Leichte rechte Schildpatt-Klammerverzierung"}}},{"category":"Ps","key":"2774","mappings":{"default":{"default":"Mittlere linke geschweifte Klammerverzierung"}}},{"category":"Pe","key":"2775","mappings":{"default":{"default":"Mittlere rechte geschweifte Klammerverzierung"}}},{"category":"Ps","key":"27C5","mappings":{"default":{"default":"Linker S-förmiger Taschenbegrenzer"}}},{"category":"Pe","key":"27C6","mappings":{"default":{"default":"rechter S-förmiger Taschenbegrenzer"}}},{"category":"Ps","key":"27E6","mappings":{"default":{"default":"Mathematische linke weiße eckige Klammer"}}},{"category":"Pe","key":"27E7","mappings":{"default":{"default":"Mathematische rechte weiße eckige Klammer"}}},{"category":"Ps","key":"27E8","mappings":{"default":{"default":"Mathematische linke Winkelklammer"}}},{"category":"Pe","key":"27E9","mappings":{"default":{"default":"Mathematische rechtwinklige Klammer"}}},{"category":"Ps","key":"27EA","mappings":{"default":{"default":"Mathematische linke doppelte Winkelklammer"}}},{"category":"Pe","key":"27EB","mappings":{"default":{"default":"Mathematische rechtwinklige eckige Klammer"}}},{"category":"Ps","key":"27EC","mappings":{"default":{"default":"Mathematische linke Schildkrötenpanzerhalterung"}}},{"category":"Pe","key":"27ED","mappings":{"default":{"default":"Mathematische rechte weiße Schildpatt-Klammer"}}},{"category":"Ps","key":"27EE","mappings":{"default":{"default":"Mathematische linke abgeflachte Klammer"}}},{"category":"Pe","key":"27EF","mappings":{"default":{"default":"Mathematische rechte abgeflachte Klammer"}}},{"category":"Ps","key":"2983","mappings":{"default":{"default":"Linke weiße geschweifte Klammer"}}},{"category":"Pe","key":"2984","mappings":{"default":{"default":"Rechte weiße geschweifte Klammer"}}},{"category":"Ps","key":"2985","mappings":{"default":{"default":"Linke weiße Klammer"}}},{"category":"Pe","key":"2986","mappings":{"default":{"default":"Rechte weiße Klammer"}}},{"category":"Ps","key":"2987","mappings":{"default":{"default":"Z-Notation Linke Bildklammer"}}},{"category":"Pe","key":"2988","mappings":{"default":{"default":"Z-Notation rechte Bildklammer"}}},{"category":"Ps","key":"2989","mappings":{"default":{"default":"Z-Notation Linke Klammer"}}},{"category":"Pe","key":"298A","mappings":{"default":{"default":"Z Notation Right Binding Bracket"}}},{"category":"Ps","key":"298B","mappings":{"default":{"default":"Linke eckige Klammer mit Unterlenker"}}},{"category":"Pe","key":"298C","mappings":{"default":{"default":"Rechte eckige Klammer mit Unterlenker"}}},{"category":"Ps","key":"298D","mappings":{"default":{"default":"Linke eckige Klammer mit Häkchen in der oberen Ecke"}}},{"category":"Pe","key":"298E","mappings":{"default":{"default":"Rechte eckige Klammer mit Tick in der unteren Ecke"}}},{"category":"Ps","key":"298F","mappings":{"default":{"default":"Linke eckige Klammer mit Tick in der unteren Ecke"}}},{"category":"Pe","key":"2990","mappings":{"default":{"default":"Rechte eckige Klammer mit Tick in der oberen Ecke"}}},{"category":"Ps","key":"2991","mappings":{"default":{"default":"Linke Winkelklammer mit Punkt"}}},{"category":"Pe","key":"2992","mappings":{"default":{"default":"Rechtwinklige Klammer mit Punkt"}}},{"category":"Ps","key":"2993","mappings":{"default":{"default":"Linker Bogen weniger als Halterung"}}},{"category":"Pe","key":"2994","mappings":{"default":{"default":"rechter Bogen größer als Halterung"}}},{"category":"Ps","key":"2995","mappings":{"default":{"default":"Doppelter linker Bogen größer als Halterung"}}},{"category":"Pe","key":"2996","mappings":{"default":{"default":"Doppelter rechter Bogen weniger als Halterung"}}},{"category":"Ps","key":"2997","mappings":{"default":{"default":"Linke schwarze Schildkrötenhalterung"}}},{"category":"Pe","key":"2998","mappings":{"default":{"default":"Rechte schwarze Schildpatt-Klammer"}}},{"category":"Ps","key":"29D8","mappings":{"default":{"default":"Linker wackeliger Zaun"}}},{"category":"Pe","key":"29D9","mappings":{"default":{"default":"rechter wackeliger Zaun"}}},{"category":"Ps","key":"29DA","mappings":{"default":{"default":"Linker doppelter wackeliger Zaun"}}},{"category":"Pe","key":"29DB","mappings":{"default":{"default":"rechter doppelter wackeliger Zaun"}}},{"category":"Ps","key":"29FC","mappings":{"default":{"default":"Nach links zeigender gebogener Winkelhalter"}}},{"category":"Pe","key":"29FD","mappings":{"default":{"default":"Nach rechts zeigender gebogener Winkelhalter"}}},{"category":"Ps","key":"2E22","mappings":{"default":{"default":"Obere linke halbe Halterung"}}},{"category":"Pe","key":"2E23","mappings":{"default":{"default":"Obere rechte halbe Klammer"}}},{"category":"Ps","key":"2E24","mappings":{"default":{"default":"Linke halbe halterung unten"}}},{"category":"Pe","key":"2E25","mappings":{"default":{"default":"Untere rechte halbe Halterung"}}},{"category":"Ps","key":"2E26","mappings":{"default":{"default":"U-Halterung links seitlich"}}},{"category":"Pe","key":"2E27","mappings":{"default":{"default":"U-Halterung rechts seitlich"}}},{"category":"Ps","key":"2E28","mappings":{"default":{"default":"Linke doppelte Klammer"}}},{"category":"Pe","key":"2E29","mappings":{"default":{"default":"Rechte doppelte Klammer"}}},{"category":"Ps","key":"3008","mappings":{"default":{"default":"Linke Winkelklammer"}}},{"category":"Pe","key":"3009","mappings":{"default":{"default":"Rechtwinklige Halterung"}}},{"category":"Ps","key":"300A","mappings":{"default":{"default":"Linke Doppelwinkelhalterung"}}},{"category":"Pe","key":"300B","mappings":{"default":{"default":"Rechte Doppelwinkelhalterung"}}},{"category":"Ps","key":"300C","mappings":{"default":{"default":"Linke Eckklammer"}}},{"category":"Pe","key":"300D","mappings":{"default":{"default":"Rechte Eckhalterung"}}},{"category":"Ps","key":"300E","mappings":{"default":{"default":"Linke weiße Eckhalterung"}}},{"category":"Pe","key":"300F","mappings":{"default":{"default":"Rechte weiße Eckhalterung"}}},{"category":"Ps","key":"3010","mappings":{"default":{"default":"Linke schwarze linsenförmige Halterung"}}},{"category":"Pe","key":"3011","mappings":{"default":{"default":"Rechte schwarze linsenförmige Halterung"}}},{"category":"Ps","key":"3014","mappings":{"default":{"default":"Linke Schildpatt-Klammer"}}},{"category":"Pe","key":"3015","mappings":{"default":{"default":"Rechte Schildpattlasche"}}},{"category":"Ps","key":"3016","mappings":{"default":{"default":"Linke weiße linsenförmige Halterung"}}},{"category":"Pe","key":"3017","mappings":{"default":{"default":"Rechte weiße linsenförmige Halterung"}}},{"category":"Ps","key":"3018","mappings":{"default":{"default":"Linke weiße Schildpatt-Klammer"}}},{"category":"Pe","key":"3019","mappings":{"default":{"default":"Rechte weiße Schildpatt-Klammer"}}},{"category":"Ps","key":"301A","mappings":{"default":{"default":"Linke weiße eckige Klammer"}}},{"category":"Pe","key":"301B","mappings":{"default":{"default":"Rechte weiße eckige Klammer"}}},{"category":"Ps","key":"301D","mappings":{"default":{"default":"Doppelte Anführungszeichen in umgekehrter Reihenfolge"}}},{"category":"Pe","key":"301E","mappings":{"default":{"default":"Doppelte Anführungszeichen"}}},{"category":"Pe","key":"301F","mappings":{"default":{"default":"Niedriges doppeltes Prime-Anführungszeichen"}}},{"category":"Ps","key":"FD3E","mappings":{"default":{"default":"Verzierte linke Klammer"}}},{"category":"Pe","key":"FD3F","mappings":{"default":{"default":"Verzierte rechte Klammer"}}},{"category":"Ps","key":"FE17","mappings":{"default":{"default":"Präsentationsformular für vertikale linke weiße linsenförmige Halterung"}}},{"category":"Pe","key":"FE18","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige linsenförmige Halterung"}}},{"category":"Ps","key":"FE35","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Klammer"}}},{"category":"Pe","key":"FE36","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte Klammer"}}},{"category":"Ps","key":"FE37","mappings":{"default":{"default":"Präsentationsformular für vertikale linke geschweifte Klammer"}}},{"category":"Pe","key":"FE38","mappings":{"default":{"default":"Präsentationsformular für vertikale, recht geschweifte Klammer"}}},{"category":"Ps","key":"FE39","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Schildpattklammer"}}},{"category":"Pe","key":"FE3A","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte Schildpatt-Klammer"}}},{"category":"Ps","key":"FE3B","mappings":{"default":{"default":"Präsentationsformular für vertikale linke schwarze linsenförmige Halterung"}}},{"category":"Pe","key":"FE3C","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige schwarze linsenförmige Halterung"}}},{"category":"Ps","key":"FE3D","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Doppelwinkelhalterung"}}},{"category":"Pe","key":"FE3E","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige, rechtwinklige Halterung"}}},{"category":"Ps","key":"FE3F","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Winkelhalterung"}}},{"category":"Pe","key":"FE40","mappings":{"default":{"default":"Präsentationsformular für vertikale rechtwinklige Halterung"}}},{"category":"Ps","key":"FE41","mappings":{"default":{"default":"Präsentationsformular für vertikale linke Eckhalterung"}}},{"category":"Pe","key":"FE42","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte Eckhalterung"}}},{"category":"Ps","key":"FE43","mappings":{"default":{"default":"Präsentationsformular für vertikale linke weiße Eckhalterung"}}},{"category":"Pe","key":"FE44","mappings":{"default":{"default":"Präsentationsformular für vertikale rechte weiße Eckhalterung"}}},{"category":"Ps","key":"FE47","mappings":{"default":{"default":"Präsentationsformular für vertikale linke eckige Klammer"}}},{"category":"Pe","key":"FE48","mappings":{"default":{"default":"Präsentationsformular für vertikale eckige Klammer"}}},{"category":"Ps","key":"FE59","mappings":{"default":{"default":"Kleine linke Klammer"}}},{"category":"Pe","key":"FE5A","mappings":{"default":{"default":"Kleine rechte Klammer"}}},{"category":"Ps","key":"FE5B","mappings":{"default":{"default":"Kleine linke geschweifte Klammer"}}},{"category":"Pe","key":"FE5C","mappings":{"default":{"default":"Kleine rechte geschweifte Klammer"}}},{"category":"Ps","key":"FE5D","mappings":{"default":{"default":"Kleine linke Schildpatt-Klammer"}}},{"category":"Pe","key":"FE5E","mappings":{"default":{"default":"Kleine rechte Schildpatt-Klammer"}}},{"category":"Ps","key":"FF08","mappings":{"default":{"default":"Linke Klammer in voller Breite"}}},{"category":"Pe","key":"FF09","mappings":{"default":{"default":"Rechte Klammer mit voller Breite"}}},{"category":"Ps","key":"FF3B","mappings":{"default":{"default":"Linke eckige Klammer mit voller Breite"}}},{"category":"Pe","key":"FF3D","mappings":{"default":{"default":"Rechteckige Klammer mit voller Breite"}}},{"category":"Ps","key":"FF5B","mappings":{"default":{"default":"Linke geschweifte Klammer mit voller Breite"}}},{"category":"Pe","key":"FF5D","mappings":{"default":{"default":"Rechtwinklige Klammer mit voller Breite"}}},{"category":"Ps","key":"FF5F","mappings":{"default":{"default":"Linke weiße Klammer mit voller Breite"}}},{"category":"Pe","key":"FF60","mappings":{"default":{"default":"Rechte breite weiße Klammer"}}},{"category":"Ps","key":"FF62","mappings":{"default":{"default":"Halbe breite linke eckklammer"}}},{"category":"Pe","key":"FF63","mappings":{"default":{"default":"Halbe breite rechte eckklammer"}}}]
 ,
-"en/latin-mathfonts-double-struck.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"double struck capital a","short":"double struck cap a"},"mathspeak":{"default":"double struck upper A"}},"key":"1D538"},{"category":"Lu","mappings":{"default":{"default":"double struck capital b","short":"double struck cap b"},"mathspeak":{"default":"double struck upper B"}},"key":"1D539"},{"category":"Lu","mappings":{"default":{"default":"double struck capital c","short":"double struck cap c"},"mathspeak":{"default":"double struck upper C"}},"key":"2102"},{"category":"Lu","mappings":{"default":{"default":"double struck capital d","short":"double struck cap d"},"mathspeak":{"default":"double struck upper D"}},"key":"1D53B"},{"category":"Lu","mappings":{"default":{"default":"double struck capital e","short":"double struck cap e"},"mathspeak":{"default":"double struck upper E"}},"key":"1D53C"},{"category":"Lu","mappings":{"default":{"default":"double struck capital f","short":"double struck cap f"},"mathspeak":{"default":"double struck upper F"}},"key":"1D53D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital g","short":"double struck cap g"},"mathspeak":{"default":"double struck upper G"}},"key":"1D53E"},{"category":"Lu","mappings":{"default":{"default":"double struck capital h","short":"double struck cap h"},"mathspeak":{"default":"double struck upper H"}},"key":"210D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital i","short":"double struck cap i"},"mathspeak":{"default":"double struck upper I"}},"key":"1D540"},{"category":"Lu","mappings":{"default":{"default":"double struck capital j","short":"double struck cap j"},"mathspeak":{"default":"double struck upper J"}},"key":"1D541"},{"category":"Lu","mappings":{"default":{"default":"double struck capital k","short":"double struck cap k"},"mathspeak":{"default":"double struck upper K"}},"key":"1D542"},{"category":"Lu","mappings":{"default":{"default":"double struck capital l","short":"double struck cap l"},"mathspeak":{"default":"double struck upper L"}},"key":"1D543"},{"category":"Lu","mappings":{"default":{"default":"double struck capital m","short":"double struck cap m"},"mathspeak":{"default":"double struck upper M"}},"key":"1D544"},{"category":"Lu","mappings":{"default":{"default":"double struck capital n","short":"double struck cap n"},"mathspeak":{"default":"double struck upper N"}},"key":"2115"},{"category":"Lu","mappings":{"default":{"default":"double struck capital o","short":"double struck cap o"},"mathspeak":{"default":"double struck upper O"}},"key":"1D546"},{"category":"Lu","mappings":{"default":{"default":"double struck capital p","short":"double struck cap p"},"mathspeak":{"default":"double struck upper P"}},"key":"2119"},{"category":"Lu","mappings":{"default":{"default":"double struck capital q","short":"double struck cap q"},"mathspeak":{"default":"double struck upper Q"}},"key":"211A"},{"category":"Lu","mappings":{"default":{"default":"double struck capital r","short":"double struck cap r"},"mathspeak":{"default":"double struck upper R"}},"key":"211D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital s","short":"double struck cap s"},"mathspeak":{"default":"double struck upper S"}},"key":"1D54A"},{"category":"Lu","mappings":{"default":{"default":"double struck capital t","short":"double struck cap t"},"mathspeak":{"default":"double struck upper T"}},"key":"1D54B"},{"category":"Lu","mappings":{"default":{"default":"double struck capital u","short":"double struck cap u"},"mathspeak":{"default":"double struck upper U"}},"key":"1D54C"},{"category":"Lu","mappings":{"default":{"default":"double struck capital v","short":"double struck cap v"},"mathspeak":{"default":"double struck upper V"}},"key":"1D54D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital w","short":"double struck cap w"},"mathspeak":{"default":"double struck upper W"}},"key":"1D54E"},{"category":"Lu","mappings":{"default":{"default":"double struck capital x","short":"double struck cap x"},"mathspeak":{"default":"double struck upper X"}},"key":"1D54F"},{"category":"Lu","mappings":{"default":{"default":"double struck capital y","short":"double struck cap y"},"mathspeak":{"default":"double struck upper Y"}},"key":"1D550"},{"category":"Lu","mappings":{"default":{"default":"double struck capital z","short":"double struck cap z"},"mathspeak":{"default":"double struck upper Z"}},"key":"2124"},{"category":"Ll","mappings":{"default":{"default":"double struck small a","short":"double struck a"}},"key":"1D552"},{"category":"Ll","mappings":{"default":{"default":"double struck small b","short":"double struck b"}},"key":"1D553"},{"category":"Ll","mappings":{"default":{"default":"double struck small c","short":"double struck c"}},"key":"1D554"},{"category":"Ll","mappings":{"default":{"default":"double struck small d","short":"double struck d"}},"key":"1D555"},{"category":"Ll","mappings":{"default":{"default":"double struck small e","short":"double struck e"}},"key":"1D556"},{"category":"Ll","mappings":{"default":{"default":"double struck small f","short":"double struck f"}},"key":"1D557"},{"category":"Ll","mappings":{"default":{"default":"double struck small g","short":"double struck g"}},"key":"1D558"},{"category":"Ll","mappings":{"default":{"default":"double struck small h","short":"double struck h"}},"key":"1D559"},{"category":"Ll","mappings":{"default":{"default":"double struck small i","short":"double struck i"}},"key":"1D55A"},{"category":"Ll","mappings":{"default":{"default":"double struck small j","short":"double struck j"}},"key":"1D55B"},{"category":"Ll","mappings":{"default":{"default":"double struck small k","short":"double struck k"}},"key":"1D55C"},{"category":"Ll","mappings":{"default":{"default":"double struck small l","short":"double struck l"}},"key":"1D55D"},{"category":"Ll","mappings":{"default":{"default":"double struck small m","short":"double struck m"}},"key":"1D55E"},{"category":"Ll","mappings":{"default":{"default":"double struck small n","short":"double struck n"}},"key":"1D55F"},{"category":"Ll","mappings":{"default":{"default":"double struck small o","short":"double struck o"}},"key":"1D560"},{"category":"Ll","mappings":{"default":{"default":"double struck small p","short":"double struck p"}},"key":"1D561"},{"category":"Ll","mappings":{"default":{"default":"double struck small q","short":"double struck q"}},"key":"1D562"},{"category":"Ll","mappings":{"default":{"default":"double struck small r","short":"double struck r"}},"key":"1D563"},{"category":"Ll","mappings":{"default":{"default":"double struck small s","short":"double struck s"}},"key":"1D564"},{"category":"Ll","mappings":{"default":{"default":"double struck small t","short":"double struck t"}},"key":"1D565"},{"category":"Ll","mappings":{"default":{"default":"double struck small u","short":"double struck u"}},"key":"1D566"},{"category":"Ll","mappings":{"default":{"default":"double struck small v","short":"double struck v"}},"key":"1D567"},{"category":"Ll","mappings":{"default":{"default":"double struck small w","short":"double struck w"}},"key":"1D568"},{"category":"Ll","mappings":{"default":{"default":"double struck small x","short":"double struck x"}},"key":"1D569"},{"category":"Ll","mappings":{"default":{"default":"double struck small y","short":"double struck y"}},"key":"1D56A"},{"category":"Ll","mappings":{"default":{"default":"double struck small z","short":"double struck z"}},"key":"1D56B"}]
+"de/symbols/math_geometry.js": 
+[{"locale":"de"},{"category":"So","key":"2500","mappings":{"default":{"default":"Box Drawings Light Horizontal"}}},{"category":"So","key":"2501","mappings":{"default":{"default":"Box Drawings Schwere Horizontale"}}},{"category":"So","key":"2502","mappings":{"default":{"default":"Box Drawings Light Vertical"}}},{"category":"So","key":"2503","mappings":{"default":{"default":"Box Drawings Schwere Vertikale"}}},{"category":"So","key":"2504","mappings":{"default":{"default":"Box-Zeichnungen Licht Triple Dash Horizontal"}}},{"category":"So","key":"2505","mappings":{"default":{"default":"Box Drawings Heavy Triple Dash Horizontal"}}},{"category":"So","key":"2506","mappings":{"default":{"default":"Box Drawings Light Triple Dash Vertical"}}},{"category":"So","key":"2507","mappings":{"default":{"default":"Box Drawings Heavy Triple Dash Vertical"}}},{"category":"So","key":"2508","mappings":{"default":{"default":"Box Drawings Light Quadruple Dash Horizontal"}}},{"category":"So","key":"2509","mappings":{"default":{"default":"Box Drawings Heavy Quadruple Dash Horizontal"}}},{"category":"So","key":"250A","mappings":{"default":{"default":"Box Drawings Light Quadruple Dash Vertical"}}},{"category":"So","key":"250B","mappings":{"default":{"default":"Box Drawings Heavy Quadruple Dash Vertical"}}},{"category":"So","key":"250C","mappings":{"default":{"default":"Box Drawings Light Down und Right"}}},{"category":"So","key":"250D","mappings":{"default":{"default":"Box Drawings Down Light und Right Heavy"}}},{"category":"So","key":"250E","mappings":{"default":{"default":"Box Drawings Down Heavy und Right Light"}}},{"category":"So","key":"250F","mappings":{"default":{"default":"Box Drawings Heavy Down und Right"}}},{"category":"So","key":"2510","mappings":{"default":{"default":"Box Drawings Light Down und Links"}}},{"category":"So","key":"2511","mappings":{"default":{"default":"Box Drawings Down Light und Left Heavy"}}},{"category":"So","key":"2512","mappings":{"default":{"default":"Box Drawings Down Heavy und Left Light"}}},{"category":"So","key":"2513","mappings":{"default":{"default":"Box Drawings Heavy Down und Left"}}},{"category":"So","key":"2514","mappings":{"default":{"default":"Box-Zeichnungen leuchten auf und richtig"}}},{"category":"So","key":"2515","mappings":{"default":{"default":"Box Drawings Up Light und Right Heavy"}}},{"category":"So","key":"2516","mappings":{"default":{"default":"Box Drawings Up Heavy und Right Light"}}},{"category":"So","key":"2517","mappings":{"default":{"default":"Box Drawings Heavy Up und Right"}}},{"category":"So","key":"2518","mappings":{"default":{"default":"Box-Zeichnungen leuchten und links"}}},{"category":"So","key":"2519","mappings":{"default":{"default":"Box Drawings Up Light und Left Heavy"}}},{"category":"So","key":"251A","mappings":{"default":{"default":"Box Drawings Up Heavy und Left Light"}}},{"category":"So","key":"251B","mappings":{"default":{"default":"Box Drawings Heavy Up und Links"}}},{"category":"So","key":"251C","mappings":{"default":{"default":"Box Drawings Light Vertical und Right"}}},{"category":"So","key":"251D","mappings":{"default":{"default":"Box Drawings Vertical Light und Right Heavy"}}},{"category":"So","key":"251E","mappings":{"default":{"default":"Box Drawings Up Heavy und Right Down Light"}}},{"category":"So","key":"251F","mappings":{"default":{"default":"Box Drawings Down Heavy und Right Up Light"}}},{"category":"So","key":"2520","mappings":{"default":{"default":"Box Drawings Vertical Heavy und Right Light"}}},{"category":"So","key":"2521","mappings":{"default":{"default":"Box Drawings Down Light und Right Up Heavy"}}},{"category":"So","key":"2522","mappings":{"default":{"default":"Box Drawings Up Light und Right Down Heavy"}}},{"category":"So","key":"2523","mappings":{"default":{"default":"Box Drawings Heavy Vertical und Right"}}},{"category":"So","key":"2524","mappings":{"default":{"default":"Box Drawings Light Vertical und Left"}}},{"category":"So","key":"2525","mappings":{"default":{"default":"Box Drawings Vertical Light und Left Heavy"}}},{"category":"So","key":"2526","mappings":{"default":{"default":"Box Drawings Up Heavy und Left Down Light"}}},{"category":"So","key":"2527","mappings":{"default":{"default":"Box Drawings Down Heavy und Left Up Light"}}},{"category":"So","key":"2528","mappings":{"default":{"default":"Box Drawings Vertical Heavy und Left Light"}}},{"category":"So","key":"2529","mappings":{"default":{"default":"Box Drawings Down Light und Left Up Heavy"}}},{"category":"So","key":"252A","mappings":{"default":{"default":"Box Drawings Up Light und Left Down Heavy"}}},{"category":"So","key":"252B","mappings":{"default":{"default":"Box Drawings Heavy Vertical und Left"}}},{"category":"So","key":"252C","mappings":{"default":{"default":"Box-Zeichnungen leicht und horizontal"}}},{"category":"So","key":"252D","mappings":{"default":{"default":"Box Drawings Left Heavy und Right Down Light"}}},{"category":"So","key":"252E","mappings":{"default":{"default":"Box Drawings Right Heavy und Left Down Light"}}},{"category":"So","key":"252F","mappings":{"default":{"default":"Box Drawings Down Light und Horizontal Heavy"}}},{"category":"So","key":"2530","mappings":{"default":{"default":"Box-Zeichnungen für schweres und horizontales Licht"}}},{"category":"So","key":"2531","mappings":{"default":{"default":"Box Drawings Right Light und Left Down Heavy"}}},{"category":"So","key":"2532","mappings":{"default":{"default":"Box Drawings Left Light und Right Down Heavy"}}},{"category":"So","key":"2533","mappings":{"default":{"default":"Box-Zeichnungen nach unten und horizontal"}}},{"category":"So","key":"2534","mappings":{"default":{"default":"Box-Zeichnungen leuchten und horizontal"}}},{"category":"So","key":"2535","mappings":{"default":{"default":"Box Drawings Left Heavy und Right Up Light"}}},{"category":"So","key":"2536","mappings":{"default":{"default":"Box Drawings Right Heavy und Left Up Light"}}},{"category":"So","key":"2537","mappings":{"default":{"default":"Box Drawings Up Light und Horizontal Heavy"}}},{"category":"So","key":"2538","mappings":{"default":{"default":"Box-Zeichnungen für schweres und horizontales Licht"}}},{"category":"So","key":"2539","mappings":{"default":{"default":"Box Drawings Right Light und Left Up Heavy"}}},{"category":"So","key":"253A","mappings":{"default":{"default":"Box Drawings Left Light und Right Up Heavy"}}},{"category":"So","key":"253B","mappings":{"default":{"default":"Box-Zeichnungen schwer und horizontal"}}},{"category":"So","key":"253C","mappings":{"default":{"default":"Box Drawings Light vertikal und horizontal"}}},{"category":"So","key":"253D","mappings":{"default":{"default":"Kastenzeichnungen links schweres und rechtes vertikales Licht"}}},{"category":"So","key":"253E","mappings":{"default":{"default":"Box Drawings Right Heavy und Left Vertical Light"}}},{"category":"So","key":"253F","mappings":{"default":{"default":"Box Drawings Vertical Light und Horizontal Heavy"}}},{"category":"So","key":"2540","mappings":{"default":{"default":"Box Drawings Up Heavy und Down Horizontal Light"}}},{"category":"So","key":"2541","mappings":{"default":{"default":"Box Drawings Down Heavy und Up Horizontal Light"}}},{"category":"So","key":"2542","mappings":{"default":{"default":"Kastenzeichnungen Vertikales schweres und horizontales Licht"}}},{"category":"So","key":"2543","mappings":{"default":{"default":"Box Drawings Left Up Heavy und Right Down Light"}}},{"category":"So","key":"2544","mappings":{"default":{"default":"Box Drawings Right Up Heavy und Left Down Light"}}},{"category":"So","key":"2545","mappings":{"default":{"default":"Box Drawings Left Down Heavy und Right Up Light"}}},{"category":"So","key":"2546","mappings":{"default":{"default":"Box Drawings Right Down Heavy und Left Up Light"}}},{"category":"So","key":"2547","mappings":{"default":{"default":"Box Drawings Down Light und Up Horizontal Heavy"}}},{"category":"So","key":"2548","mappings":{"default":{"default":"Box Drawings Up Light und Down Horizontal Heavy"}}},{"category":"So","key":"2549","mappings":{"default":{"default":"Box Drawings Right Light und Left Vertical Heavy"}}},{"category":"So","key":"254A","mappings":{"default":{"default":"Box Drawings Left Light und Right Vertical Heavy"}}},{"category":"So","key":"254B","mappings":{"default":{"default":"Box Drawings Heavy vertikal und horizontal"}}},{"category":"So","key":"254C","mappings":{"default":{"default":"Box Drawings Light Double Dash Horizontal"}}},{"category":"So","key":"254D","mappings":{"default":{"default":"Box Drawings Heavy Double Dash Horizontal"}}},{"category":"So","key":"254E","mappings":{"default":{"default":"Box Drawings Light Double Dash Vertical"}}},{"category":"So","key":"254F","mappings":{"default":{"default":"Box Drawings Heavy Double Dash Vertical"}}},{"category":"So","key":"2550","mappings":{"default":{"default":"Box-Zeichnungen doppelt horizontal"}}},{"category":"So","key":"2551","mappings":{"default":{"default":"Box Drawings Double Vertical"}}},{"category":"So","key":"2552","mappings":{"default":{"default":"Box Drawings Down Single und Right Double"}}},{"category":"So","key":"2553","mappings":{"default":{"default":"Box Drawings Down Double und Right Single"}}},{"category":"So","key":"2554","mappings":{"default":{"default":"Box Drawings Double Down und Right"}}},{"category":"So","key":"2555","mappings":{"default":{"default":"Box Drawings Down Single und Left Double"}}},{"category":"So","key":"2556","mappings":{"default":{"default":"Box Drawings Down Double und Left Single"}}},{"category":"So","key":"2557","mappings":{"default":{"default":"Box Drawings Double Down und Links"}}},{"category":"So","key":"2558","mappings":{"default":{"default":"Box Drawings Up Single und Right Double"}}},{"category":"So","key":"2559","mappings":{"default":{"default":"Box Drawings Up Double und Right Single"}}},{"category":"So","key":"255A","mappings":{"default":{"default":"Box-Zeichnungen verdoppeln und rechts"}}},{"category":"So","key":"255B","mappings":{"default":{"default":"Box Drawings Up Single und Left Double"}}},{"category":"So","key":"255C","mappings":{"default":{"default":"Box Drawings Up Double und Left Single"}}},{"category":"So","key":"255D","mappings":{"default":{"default":"Box-Zeichnungen verdoppeln und links"}}},{"category":"So","key":"255E","mappings":{"default":{"default":"Box Drawings Vertical Single und Right Double"}}},{"category":"So","key":"255F","mappings":{"default":{"default":"Box Drawings Vertical Double und Right Single"}}},{"category":"So","key":"2560","mappings":{"default":{"default":"Box Drawings Double Vertical und Right"}}},{"category":"So","key":"2561","mappings":{"default":{"default":"Box Drawings Vertical Single und Left Double"}}},{"category":"So","key":"2562","mappings":{"default":{"default":"Box Drawings Vertical Double und Left Single"}}},{"category":"So","key":"2563","mappings":{"default":{"default":"Box Drawings Double Vertical und Left"}}},{"category":"So","key":"2564","mappings":{"default":{"default":"Box Drawings Down Single und Horizontal Double"}}},{"category":"So","key":"2565","mappings":{"default":{"default":"Box Drawings Down Double und Horizontal Single"}}},{"category":"So","key":"2566","mappings":{"default":{"default":"Box Drawings Double Down und Horizontal"}}},{"category":"So","key":"2567","mappings":{"default":{"default":"Box Drawings Up Single und Horizontal Double"}}},{"category":"So","key":"2568","mappings":{"default":{"default":"Box Drawings Up Double und Horizontal Single"}}},{"category":"So","key":"2569","mappings":{"default":{"default":"Box-Zeichnungen verdoppeln und horizontal"}}},{"category":"So","key":"256A","mappings":{"default":{"default":"Box Drawings Vertical Single und Horizontal Double"}}},{"category":"So","key":"256B","mappings":{"default":{"default":"Box Drawings Vertical Double und Horizontal Single"}}},{"category":"So","key":"256C","mappings":{"default":{"default":"Box-Zeichnungen doppelt vertikal und horizontal"}}},{"category":"So","key":"256D","mappings":{"default":{"default":"Box Drawings Light Arc Down und Right"}}},{"category":"So","key":"256E","mappings":{"default":{"default":"Box Drawings Light Arc Down und Links"}}},{"category":"So","key":"256F","mappings":{"default":{"default":"Box Drawings Light Arc Up und links"}}},{"category":"So","key":"2570","mappings":{"default":{"default":"Box Drawings Light Arc Up und rechts"}}},{"category":"So","key":"2571","mappings":{"default":{"default":"Box Drawings Light Diagonal Oben Rechts Nach Unten Links"}}},{"category":"So","key":"2572","mappings":{"default":{"default":"Box Drawings Light Diagonal von oben links nach rechts unten"}}},{"category":"So","key":"2573","mappings":{"default":{"default":"Box Zeichnungen Light Diagonal Cross"}}},{"category":"So","key":"2574","mappings":{"default":{"default":"Box-Zeichnungen Light Left"}}},{"category":"So","key":"2575","mappings":{"default":{"default":"Box-Zeichnungen leuchten auf"}}},{"category":"So","key":"2576","mappings":{"default":{"default":"Box-Zeichnungen Light Right"}}},{"category":"So","key":"2577","mappings":{"default":{"default":"Box Drawings Light Down"}}},{"category":"So","key":"2578","mappings":{"default":{"default":"Box Drawings Heavy Left"}}},{"category":"So","key":"2579","mappings":{"default":{"default":"Box Drawings Heavy Up"}}},{"category":"So","key":"257A","mappings":{"default":{"default":"Box Drawings Heavy Right"}}},{"category":"So","key":"257B","mappings":{"default":{"default":"Box Drawings Heavy Down"}}},{"category":"So","key":"257C","mappings":{"default":{"default":"Box Drawings Light Left und Heavy Right"}}},{"category":"So","key":"257D","mappings":{"default":{"default":"Box Drawings Light Up und Heavy Down"}}},{"category":"So","key":"257E","mappings":{"default":{"default":"Box Drawings Heavy Left und Light Right"}}},{"category":"So","key":"257F","mappings":{"default":{"default":"Box Drawings Heavy Up und Light Down"}}},{"category":"So","key":"2580","mappings":{"default":{"default":"Block der oberen Hälfte"}}},{"category":"So","key":"2581","mappings":{"default":{"default":"Unterer achter Block"}}},{"category":"So","key":"2582","mappings":{"default":{"default":"Unterer Viertelblock"}}},{"category":"So","key":"2583","mappings":{"default":{"default":"Drei Achtel-Block senken"}}},{"category":"So","key":"2584","mappings":{"default":{"default":"Block der unteren Hälfte"}}},{"category":"So","key":"2585","mappings":{"default":{"default":"Fünf Achtel Block"}}},{"category":"So","key":"2586","mappings":{"default":{"default":"Unterer Dreiviertelblock"}}},{"category":"So","key":"2587","mappings":{"default":{"default":"Unterer Sieben Achtel-Block"}}},{"category":"So","key":"2588","mappings":{"default":{"default":"Voller Block"}}},{"category":"So","key":"2589","mappings":{"default":{"default":"Linker Sieben Achtel Block"}}},{"category":"So","key":"258A","mappings":{"default":{"default":"Linker Dreiviertelblock"}}},{"category":"So","key":"258B","mappings":{"default":{"default":"Linker Block mit fünf Achteln"}}},{"category":"So","key":"258C","mappings":{"default":{"default":"Linke halbe Block"}}},{"category":"So","key":"258D","mappings":{"default":{"default":"Block drei Achtel"}}},{"category":"So","key":"258E","mappings":{"default":{"default":"Linke einen Viertelblock"}}},{"category":"So","key":"258F","mappings":{"default":{"default":"Linker achter Block"}}},{"category":"So","key":"2590","mappings":{"default":{"default":"Rechte halbe Block"}}},{"category":"So","key":"2591","mappings":{"default":{"default":"Lichtschatten"}}},{"category":"So","key":"2592","mappings":{"default":{"default":"Mittlere Schatten"}}},{"category":"So","key":"2593","mappings":{"default":{"default":"Dunkler Schatten"}}},{"category":"So","key":"2594","mappings":{"default":{"default":"Oberer achter Block"}}},{"category":"So","key":"2595","mappings":{"default":{"default":"rechter achter Block"}}},{"category":"So","key":"2596","mappings":{"default":{"default":"Quadrant unten links"}}},{"category":"So","key":"2597","mappings":{"default":{"default":"Quadrant rechts unten"}}},{"category":"So","key":"2598","mappings":{"default":{"default":"Quadrant oben links"}}},{"category":"So","key":"2599","mappings":{"default":{"default":"Quadrant oben links und unten links und rechts unten"}}},{"category":"So","key":"259A","mappings":{"default":{"default":"Quadrant oben links und rechts unten"}}},{"category":"So","key":"259B","mappings":{"default":{"default":"Quadrant oben links und oben rechts und unten links"}}},{"category":"So","key":"259C","mappings":{"default":{"default":"Quadrant oben links und oben rechts und unten rechts"}}},{"category":"So","key":"259D","mappings":{"default":{"default":"Quadrant oben rechts"}}},{"category":"So","key":"259E","mappings":{"default":{"default":"Quadrant oben rechts und unten links"}}},{"category":"So","key":"259F","mappings":{"default":{"default":"Quadrant oben rechts und unten links und unten rechts"}}},{"category":"So","key":"25A0","mappings":{"default":{"default":"Schwarzes Quadrat"}}},{"category":"So","key":"25A1","mappings":{"default":{"default":"Weißes Quadrat"}}},{"category":"So","key":"25A2","mappings":{"default":{"default":"Weißes Quadrat mit abgerundeten Ecken"}}},{"category":"So","key":"25A3","mappings":{"default":{"default":"Weißes Quadrat, das schwarzes kleines Quadrat enthält"}}},{"category":"So","key":"25A4","mappings":{"default":{"default":"Quadrat mit horizontaler Füllung"}}},{"category":"So","key":"25A5","mappings":{"default":{"default":"Quadrat mit vertikaler Füllung"}}},{"category":"So","key":"25A6","mappings":{"default":{"default":"Quadrat mit orthogonaler Schraffurfüllung"}}},{"category":"So","key":"25A7","mappings":{"default":{"default":"Quadrat mit Oben links nach rechts unten füllen"}}},{"category":"So","key":"25A8","mappings":{"default":{"default":"Quadrat mit oberer rechter bis unterer linker Füllung"}}},{"category":"So","key":"25A9","mappings":{"default":{"default":"Quadrat mit diagonaler Schraffurfüllung"}}},{"category":"So","key":"25AA","mappings":{"default":{"default":"Schwarzes kleines Quadrat"}}},{"category":"So","key":"25AB","mappings":{"default":{"default":"Weißes kleines Quadrat"}}},{"category":"So","key":"25AC","mappings":{"default":{"default":"Schwarzes Rechteck"}}},{"category":"So","key":"25AD","mappings":{"default":{"default":"Weißes Rechteck"}}},{"category":"So","key":"25AE","mappings":{"default":{"default":"Schwarzes vertikales Rechteck"}}},{"category":"So","key":"25AF","mappings":{"default":{"default":"Weißes vertikales Rechteck"}}},{"category":"So","key":"25B0","mappings":{"default":{"default":"Schwarzes Parallelogramm"}}},{"category":"So","key":"25B1","mappings":{"default":{"default":"Weißes Parallelogramm"}}},{"category":"So","key":"25B2","mappings":{"default":{"default":"Schwarzes nach oben zeigendes Dreieck"}}},{"category":"So","key":"25B3","mappings":{"default":{"default":"Weißes nach oben zeigendes Dreieck"}}},{"category":"So","key":"25B4","mappings":{"default":{"default":"Schwarzes nach oben zeigendes kleines Dreieck"}}},{"category":"So","key":"25B5","mappings":{"default":{"default":"Weißes nach oben zeigendes kleines Dreieck"}}},{"category":"So","key":"25B6","mappings":{"default":{"default":"Schwarzes rechtwinkliges Dreieck"}}},{"category":"Sm","key":"25B7","mappings":{"default":{"default":"Weißes rechtwinkliges Dreieck"}}},{"category":"So","key":"25B8","mappings":{"default":{"default":"Schwarzes nach rechts zeigendes kleines Dreieck"}}},{"category":"So","key":"25B9","mappings":{"default":{"default":"Weißes nach rechts zeigendes kleines Dreieck"}}},{"category":"So","key":"25BA","mappings":{"default":{"default":"Schwarzer nach rechts zeigender Zeiger"}}},{"category":"So","key":"25BB","mappings":{"default":{"default":"Weißer nach rechts zeigender Zeiger"}}},{"category":"So","key":"25BC","mappings":{"default":{"default":"Schwarzes Abwärtsdreieck"}}},{"category":"So","key":"25BD","mappings":{"default":{"default":"Weißes nach unten zeigendes Dreieck"}}},{"category":"So","key":"25BE","mappings":{"default":{"default":"Schwarzes, nach unten zeigendes kleines Dreieck"}}},{"category":"So","key":"25BF","mappings":{"default":{"default":"Weißes kleines Dreieck"}}},{"category":"So","key":"25C0","mappings":{"default":{"default":"Schwarzes nach links zeigendes Dreieck"}}},{"category":"Sm","key":"25C1","mappings":{"default":{"default":"Weißes nach links zeigendes Dreieck"}}},{"category":"So","key":"25C2","mappings":{"default":{"default":"Schwarzes nach links zeigendes kleines Dreieck"}}},{"category":"So","key":"25C3","mappings":{"default":{"default":"Weißes nach links zeigendes kleines Dreieck"}}},{"category":"So","key":"25C4","mappings":{"default":{"default":"Schwarzer nach links zeigender Zeiger"}}},{"category":"So","key":"25C5","mappings":{"default":{"default":"Weißer nach links zeigender Zeiger"}}},{"category":"So","key":"25C6","mappings":{"default":{"default":"Schwarzer Diamant"}}},{"category":"So","key":"25C7","mappings":{"default":{"default":"Weißer Diamant"}}},{"category":"So","key":"25C8","mappings":{"default":{"default":"Weißer Diamant mit schwarzem kleinem Diamant"}}},{"category":"So","key":"25C9","mappings":{"default":{"default":"Fischauge"}}},{"category":"So","key":"25CA","mappings":{"default":{"default":"Raute"}}},{"category":"So","key":"25CB","mappings":{"default":{"default":"Weißer Kreis"}}},{"category":"So","key":"25CC","mappings":{"default":{"default":"Gepunkteter Kreis"}}},{"category":"So","key":"25CD","mappings":{"default":{"default":"Kreis mit vertikaler Füllung"}}},{"category":"So","key":"25CE","mappings":{"default":{"default":"Bullseye"}}},{"category":"So","key":"25CF","mappings":{"default":{"default":"Schwarzer Kreis"}}},{"category":"So","key":"25D0","mappings":{"default":{"default":"Kreis mit linker Hälfte schwarz"}}},{"category":"So","key":"25D1","mappings":{"default":{"default":"Kreis mit rechter Hälfte schwarz"}}},{"category":"So","key":"25D2","mappings":{"default":{"default":"Kreis mit unterer Hälfte Schwarz"}}},{"category":"So","key":"25D3","mappings":{"default":{"default":"Kreis mit oberer Hälfte schwarz"}}},{"category":"So","key":"25D4","mappings":{"default":{"default":"Kreis mit oberem rechten Quadranten schwarz"}}},{"category":"So","key":"25D5","mappings":{"default":{"default":"Kreis mit ganzem oberen linken Quadranten schwarz"}}},{"category":"So","key":"25D6","mappings":{"default":{"default":"Linker halber schwarzer Kreis"}}},{"category":"So","key":"25D7","mappings":{"default":{"default":"rechter halber schwarzer Kreis"}}},{"category":"So","key":"25D8","mappings":{"default":{"default":"Inverse Kugel"}}},{"category":"So","key":"25D9","mappings":{"default":{"default":"Inverse weißer Kreis"}}},{"category":"So","key":"25DA","mappings":{"default":{"default":"Umgekehrter weißer Kreis der oberen Hälfte"}}},{"category":"So","key":"25DB","mappings":{"default":{"default":"Inverser weißer Kreis der unteren Hälfte"}}},{"category":"So","key":"25DC","mappings":{"default":{"default":"Kreisbogen des oberen linken Quadranten"}}},{"category":"So","key":"25DD","mappings":{"default":{"default":"Kreisbogen im oberen rechten Quadranten"}}},{"category":"So","key":"25DE","mappings":{"default":{"default":"Kreisbogen des rechten unteren Quadranten"}}},{"category":"So","key":"25DF","mappings":{"default":{"default":"Kreisbogen des unteren linken Quadranten"}}},{"category":"So","key":"25E0","mappings":{"default":{"default":"Oberer Halbkreis"}}},{"category":"So","key":"25E1","mappings":{"default":{"default":"Unterer Halbkreis"}}},{"category":"So","key":"25E2","mappings":{"default":{"default":"Schwarzes rechtes Dreieck"}}},{"category":"So","key":"25E3","mappings":{"default":{"default":"Schwarzes unteres linkes Dreieck"}}},{"category":"So","key":"25E4","mappings":{"default":{"default":"Schwarzes oberes linkes Dreieck"}}},{"category":"So","key":"25E5","mappings":{"default":{"default":"Schwarzes rechtes Dreieck"}}},{"category":"So","key":"25E6","mappings":{"default":{"default":"Weiße Kugel"}}},{"category":"So","key":"25E7","mappings":{"default":{"default":"Quadrat mit linker Hälfte schwarz"}}},{"category":"So","key":"25E8","mappings":{"default":{"default":"Quadrat mit rechter Hälfte schwarz"}}},{"category":"So","key":"25E9","mappings":{"default":{"default":"Quadrat mit der oberen linken Diagonalenhälfte schwarz"}}},{"category":"So","key":"25EA","mappings":{"default":{"default":"Quadrat mit unterer rechter diagonaler Hälfte schwarz"}}},{"category":"So","key":"25EB","mappings":{"default":{"default":"Weißes Quadrat mit senkrechter Linie"}}},{"category":"So","key":"25EC","mappings":{"default":{"default":"Weißes nach oben zeigendes Dreieck mit Punkt"}}},{"category":"So","key":"25ED","mappings":{"default":{"default":"Aufwärtszeigendes Dreieck mit linker Hälfte schwarz"}}},{"category":"So","key":"25EE","mappings":{"default":{"default":"Aufwärtszeigendes Dreieck mit rechter Hälfte schwarz"}}},{"category":"So","key":"25EF","mappings":{"default":{"default":"Großer Kreis"}}},{"category":"So","key":"25F0","mappings":{"default":{"default":"Weißes Quadrat mit oberem linken Quadranten"}}},{"category":"So","key":"25F1","mappings":{"default":{"default":"Weißes Quadrat mit unterem linken Quadranten"}}},{"category":"So","key":"25F2","mappings":{"default":{"default":"Weißes Quadrat mit unterem rechten Quadranten"}}},{"category":"So","key":"25F3","mappings":{"default":{"default":"Weißes Quadrat mit rechtem oberen Quadranten"}}},{"category":"So","key":"25F4","mappings":{"default":{"default":"Weißer Kreis mit oberem linkem Quadranten"}}},{"category":"So","key":"25F5","mappings":{"default":{"default":"Weißer Kreis mit unterem linken Quadranten"}}},{"category":"So","key":"25F6","mappings":{"default":{"default":"Weißer Kreis mit unterem rechten Quadranten"}}},{"category":"So","key":"25F7","mappings":{"default":{"default":"Weißer Kreis mit rechtem oberen Quadranten"}}},{"category":"Sm","key":"25F8","mappings":{"default":{"default":"Oberes linkes Dreieck"}}},{"category":"Sm","key":"25F9","mappings":{"default":{"default":"Oberes rechtes Dreieck"}}},{"category":"Sm","key":"25FA","mappings":{"default":{"default":"Unteres linkes Dreieck"}}},{"category":"Sm","key":"25FB","mappings":{"default":{"default":"Weißes mittleres Quadrat"}}},{"category":"Sm","key":"25FC","mappings":{"default":{"default":"Schwarzes mittleres Quadrat"}}},{"category":"Sm","key":"25FD","mappings":{"default":{"default":"Weißes mittleres kleines Quadrat"}}},{"category":"Sm","key":"25FE","mappings":{"default":{"default":"Schwarzes mittleres kleines Quadrat"}}},{"category":"Sm","key":"25FF","mappings":{"default":{"default":"Unteres rechtes Dreieck"}}},{"category":"So","key":"2B12","mappings":{"default":{"default":"Quadrat mit oberer Hälfte schwarz"}}},{"category":"So","key":"2B13","mappings":{"default":{"default":"Quadrat mit unterer Hälfte schwarz"}}},{"category":"So","key":"2B14","mappings":{"default":{"default":"Quadrat mit oberer rechter diagonaler Hälfte schwarz"}}},{"category":"So","key":"2B15","mappings":{"default":{"default":"Quadrat mit unterer linker diagonaler Hälfte schwarz"}}},{"category":"So","key":"2B16","mappings":{"default":{"default":"Diamant mit linker Hälfte schwarz"}}},{"category":"So","key":"2B17","mappings":{"default":{"default":"Diamant mit rechter Hälfte schwarz"}}},{"category":"So","key":"2B18","mappings":{"default":{"default":"Diamant mit oberer Hälfte schwarz"}}},{"category":"So","key":"2B19","mappings":{"default":{"default":"Diamant mit unterer Hälfte schwarz"}}},{"category":"So","key":"2B1A","mappings":{"default":{"default":"Gepunktetes Quadrat"}}},{"category":"So","key":"2B1B","mappings":{"default":{"default":"Schwarzes großes Quadrat"}}},{"category":"So","key":"2B1C","mappings":{"default":{"default":"Weißes großes Quadrat"}}},{"category":"So","key":"2B1D","mappings":{"default":{"default":"Schwarzes sehr kleines Quadrat"}}},{"category":"So","key":"2B1E","mappings":{"default":{"default":"Weißes sehr kleines Quadrat"}}},{"category":"So","key":"2B1F","mappings":{"default":{"default":"Schwarzes Pentagon"}}},{"category":"So","key":"2B20","mappings":{"default":{"default":"Weißes Pentagon"}}},{"category":"So","key":"2B21","mappings":{"default":{"default":"Weißes Sechseck"}}},{"category":"So","key":"2B22","mappings":{"default":{"default":"Schwarzes Sechseck"}}},{"category":"So","key":"2B23","mappings":{"default":{"default":"Horizontales schwarzes Sechseck"}}},{"category":"So","key":"2B24","mappings":{"default":{"default":"Schwarzer großer Kreis"}}},{"category":"So","key":"2B25","mappings":{"default":{"default":"Schwarzer mittlerer Diamant"}}},{"category":"So","key":"2B26","mappings":{"default":{"default":"Weißer mittlerer Diamant"}}},{"category":"So","key":"2B27","mappings":{"default":{"default":"Schwarze mittlere Raute"}}},{"category":"So","key":"2B28","mappings":{"default":{"default":"Weiße mittlere Raute"}}},{"category":"So","key":"2B29","mappings":{"default":{"default":"Schwarzer kleiner Diamant"}}},{"category":"So","key":"2B2A","mappings":{"default":{"default":"Schwarze kleine Raute"}}},{"category":"So","key":"2B2B","mappings":{"default":{"default":"Weiße kleine Raute"}}},{"category":"So","key":"2B2C","mappings":{"default":{"default":"Schwarze horizontale Ellipse"}}},{"category":"So","key":"2B2D","mappings":{"default":{"default":"Weiße horizontale Ellipse"}}},{"category":"So","key":"2B2E","mappings":{"default":{"default":"Schwarze vertikale Ellipse"}}},{"category":"So","key":"2B2F","mappings":{"default":{"default":"Weiße vertikale Ellipse"}}},{"category":"So","key":"2B50","mappings":{"default":{"default":"Weißer mittlerer Stern"}}},{"category":"So","key":"2B51","mappings":{"default":{"default":"Schwarzer kleiner Stern"}}},{"category":"So","key":"2B52","mappings":{"default":{"default":"Weißer kleiner Stern"}}},{"category":"So","key":"2B53","mappings":{"default":{"default":"Schwarzes nach rechts zeigendes Pentagon"}}},{"category":"So","key":"2B54","mappings":{"default":{"default":"Weißes nach rechts zeigendes Pentagon"}}},{"category":"So","key":"2B55","mappings":{"default":{"default":"Schwerer großer Kreis"}}},{"category":"So","key":"2B56","mappings":{"default":{"default":"Schweres Oval mit innenliegendem Oval"}}},{"category":"So","key":"2B57","mappings":{"default":{"default":"Schwerer Kreis mit Kreis nach innen"}}},{"category":"So","key":"2B58","mappings":{"default":{"default":"Schwerer Kreis"}}},{"category":"So","key":"2B59","mappings":{"default":{"default":"Schwerer eingekreister Saltire"}}}]
 ,
-"en/latin-mathfonts-fraktur.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital a","short":"fraktur cap a"},"mathspeak":{"default":"fraktur upper A"}},"key":"1D504"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital b","short":"fraktur cap b"},"mathspeak":{"default":"fraktur upper B"}},"key":"1D505"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital c","short":"fraktur cap c"},"mathspeak":{"default":"fraktur upper C"}},"key":"212D"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital d","short":"fraktur cap d"},"mathspeak":{"default":"fraktur upper D"}},"key":"1D507"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital e","short":"fraktur cap e"},"mathspeak":{"default":"fraktur upper E"}},"key":"1D508"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital f","short":"fraktur cap f"},"mathspeak":{"default":"fraktur upper F"}},"key":"1D509"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital g","short":"fraktur cap g"},"mathspeak":{"default":"fraktur upper G"}},"key":"1D50A"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital h","short":"fraktur cap h"},"mathspeak":{"default":"fraktur upper H"}},"key":"210C"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital i","short":"fraktur cap i"},"mathspeak":{"default":"fraktur upper I"}},"key":"2111"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital j","short":"fraktur cap j"},"mathspeak":{"default":"fraktur upper J"}},"key":"1D50D"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital k","short":"fraktur cap k"},"mathspeak":{"default":"fraktur upper K"}},"key":"1D50E"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital l","short":"fraktur cap l"},"mathspeak":{"default":"fraktur upper L"}},"key":"1D50F"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital m","short":"fraktur cap m"},"mathspeak":{"default":"fraktur upper M"}},"key":"1D510"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital n","short":"fraktur cap n"},"mathspeak":{"default":"fraktur upper N"}},"key":"1D511"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital o","short":"fraktur cap o"},"mathspeak":{"default":"fraktur upper O"}},"key":"1D512"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital p","short":"fraktur cap p"},"mathspeak":{"default":"fraktur upper P"}},"key":"1D513"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital q","short":"fraktur cap q"},"mathspeak":{"default":"fraktur upper Q"}},"key":"1D514"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital r","short":"fraktur cap r"},"mathspeak":{"default":"fraktur upper R"}},"key":"211C"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital s","short":"fraktur cap s"},"mathspeak":{"default":"fraktur upper S"}},"key":"1D516"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital t","short":"fraktur cap t"},"mathspeak":{"default":"fraktur upper T"}},"key":"1D517"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital u","short":"fraktur cap u"},"mathspeak":{"default":"fraktur upper U"}},"key":"1D518"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital v","short":"fraktur cap v"},"mathspeak":{"default":"fraktur upper V"}},"key":"1D519"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital w","short":"fraktur cap w"},"mathspeak":{"default":"fraktur upper W"}},"key":"1D51A"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital x","short":"fraktur cap x"},"mathspeak":{"default":"fraktur upper X"}},"key":"1D51B"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital y","short":"fraktur cap y"},"mathspeak":{"default":"fraktur upper Y"}},"key":"1D51C"},{"category":"Lu","mappings":{"default":{"default":"fraktur capital z","short":"fraktur cap z"},"mathspeak":{"default":"fraktur upper Z"}},"key":"2128"},{"category":"Ll","mappings":{"default":{"default":"fraktur small a","short":"fraktur a"}},"key":"1D51E"},{"category":"Ll","mappings":{"default":{"default":"fraktur small b","short":"fraktur b"}},"key":"1D51F"},{"category":"Ll","mappings":{"default":{"default":"fraktur small c","short":"fraktur c"}},"key":"1D520"},{"category":"Ll","mappings":{"default":{"default":"fraktur small d","short":"fraktur d"}},"key":"1D521"},{"category":"Ll","mappings":{"default":{"default":"fraktur small e","short":"fraktur e"}},"key":"1D522"},{"category":"Ll","mappings":{"default":{"default":"fraktur small f","short":"fraktur f"}},"key":"1D523"},{"category":"Ll","mappings":{"default":{"default":"fraktur small g","short":"fraktur g"}},"key":"1D524"},{"category":"Ll","mappings":{"default":{"default":"fraktur small h","short":"fraktur h"}},"key":"1D525"},{"category":"Ll","mappings":{"default":{"default":"fraktur small i","short":"fraktur i"}},"key":"1D526"},{"category":"Ll","mappings":{"default":{"default":"fraktur small j","short":"fraktur j"}},"key":"1D527"},{"category":"Ll","mappings":{"default":{"default":"fraktur small k","short":"fraktur k"}},"key":"1D528"},{"category":"Ll","mappings":{"default":{"default":"fraktur small l","short":"fraktur l"}},"key":"1D529"},{"category":"Ll","mappings":{"default":{"default":"fraktur small m","short":"fraktur m"}},"key":"1D52A"},{"category":"Ll","mappings":{"default":{"default":"fraktur small n","short":"fraktur n"}},"key":"1D52B"},{"category":"Ll","mappings":{"default":{"default":"fraktur small o","short":"fraktur o"}},"key":"1D52C"},{"category":"Ll","mappings":{"default":{"default":"fraktur small p","short":"fraktur p"}},"key":"1D52D"},{"category":"Ll","mappings":{"default":{"default":"fraktur small q","short":"fraktur q"}},"key":"1D52E"},{"category":"Ll","mappings":{"default":{"default":"fraktur small r","short":"fraktur r"}},"key":"1D52F"},{"category":"Ll","mappings":{"default":{"default":"fraktur small s","short":"fraktur s"}},"key":"1D530"},{"category":"Ll","mappings":{"default":{"default":"fraktur small t","short":"fraktur t"}},"key":"1D531"},{"category":"Ll","mappings":{"default":{"default":"fraktur small u","short":"fraktur u"}},"key":"1D532"},{"category":"Ll","mappings":{"default":{"default":"fraktur small v","short":"fraktur v"}},"key":"1D533"},{"category":"Ll","mappings":{"default":{"default":"fraktur small w","short":"fraktur w"}},"key":"1D534"},{"category":"Ll","mappings":{"default":{"default":"fraktur small x","short":"fraktur x"}},"key":"1D535"},{"category":"Ll","mappings":{"default":{"default":"fraktur small y","short":"fraktur y"}},"key":"1D536"},{"category":"Ll","mappings":{"default":{"default":"fraktur small z","short":"fraktur z"}},"key":"1D537"}]
+"de/symbols/math_harpoons.js": 
+[{"locale":"de"},{"category":"So","key":"21BC","mappings":{"default":{"default":"Linke Harpune mit Barb nach oben"}}},{"category":"So","key":"21BD","mappings":{"default":{"default":"Harpune nach links mit Barb nach unten"}}},{"category":"So","key":"21BE","mappings":{"default":{"default":"Harpune nach oben mit Barb nach rechts"}}},{"category":"So","key":"21BF","mappings":{"default":{"default":"Harpune nach oben mit Barb nach links"}}},{"category":"So","key":"21C0","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach oben"}}},{"category":"So","key":"21C1","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach unten"}}},{"category":"So","key":"21C2","mappings":{"default":{"default":"Harpune nach unten mit Barb nach rechts"}}},{"category":"So","key":"21C3","mappings":{"default":{"default":"Harpune nach unten mit Barb nach links"}}},{"category":"So","key":"21CB","mappings":{"default":{"default":"Harpune nach links über Harpune nach rechts"}}},{"category":"So","key":"21CC","mappings":{"default":{"default":"Harpune nach rechts über Harpune nach links"}}},{"category":"Sm","key":"294A","mappings":{"default":{"default":"Linke Barb Up Rechte Barb Down Harpoon"}}},{"category":"Sm","key":"294B","mappings":{"default":{"default":"Linke Barb Down Rechte Barb Up Harpoon"}}},{"category":"Sm","key":"294C","mappings":{"default":{"default":"Nach oben Barb Rechts Nach links Barb Harpoon"}}},{"category":"Sm","key":"294D","mappings":{"default":{"default":"Up Barb Left Abwärts Barb Right Harpoon"}}},{"category":"Sm","key":"294E","mappings":{"default":{"default":"Linke Barb Up Rechte Barb Up Harpoon"}}},{"category":"Sm","key":"294F","mappings":{"default":{"default":"Barb nach rechts Barb nach rechts Harpoon"}}},{"category":"Sm","key":"2950","mappings":{"default":{"default":"Linke Barb Down Rechte Barb Down Harpoon"}}},{"category":"Sm","key":"2951","mappings":{"default":{"default":"Up Barb Left Abwärts Barb Left Harpoon"}}},{"category":"Sm","key":"2952","mappings":{"default":{"default":"Linke Harpune mit Barb Up To Bar"}}},{"category":"Sm","key":"2953","mappings":{"default":{"default":"Harpune nach rechts mit Barb bis zur Bar"}}},{"category":"Sm","key":"2954","mappings":{"default":{"default":"Harpune nach oben mit Widerhaken rechts"}}},{"category":"Sm","key":"2955","mappings":{"default":{"default":"Harpune nach unten mit Barb Right to Bar"}}},{"category":"Sm","key":"2956","mappings":{"default":{"default":"Linke Harpune mit Widerhaken nach unten"}}},{"category":"Sm","key":"2957","mappings":{"default":{"default":"Harpune nach rechts mit Widerhaken nach unten"}}},{"category":"Sm","key":"2958","mappings":{"default":{"default":"Harpune nach oben mit Barb nach links"}}},{"category":"Sm","key":"2959","mappings":{"default":{"default":"Harpune nach unten mit Barb nach links"}}},{"category":"Sm","key":"295A","mappings":{"default":{"default":"Linke Harpune mit Barb Up von der Bar"}}},{"category":"Sm","key":"295B","mappings":{"default":{"default":"Harpune nach rechts mit Barb Up von der Bar"}}},{"category":"Sm","key":"295C","mappings":{"default":{"default":"Harpune nach oben mit Barb rechts von der Bar"}}},{"category":"Sm","key":"295D","mappings":{"default":{"default":"Harpune nach unten mit Barb rechts von der Bar"}}},{"category":"Sm","key":"295E","mappings":{"default":{"default":"Linke Harpune mit Barb Down von der Bar"}}},{"category":"Sm","key":"295F","mappings":{"default":{"default":"Rechts Harpoon mit Barb Down von der Bar"}}},{"category":"Sm","key":"2960","mappings":{"default":{"default":"Harpune nach oben mit Barb links von der Bar"}}},{"category":"Sm","key":"2961","mappings":{"default":{"default":"Harpune nach unten mit Barb links von der Bar"}}},{"category":"Sm","key":"2962","mappings":{"default":{"default":"Harpune nach links mit Barb nach oben Harpune nach links mit Barb nach unten"}}},{"category":"Sm","key":"2963","mappings":{"default":{"default":"Harpune nach oben mit Barb links neben Harpune nach oben mit Barb rechts"}}},{"category":"Sm","key":"2964","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach oben Harpoon nach rechts mit Barb nach unten"}}},{"category":"Sm","key":"2965","mappings":{"default":{"default":"Harpune nach unten mit Barb nach unten Harpune nach unten mit Barb nach rechts"}}},{"category":"Sm","key":"2966","mappings":{"default":{"default":"Linke Harpune mit Barb Up Oben Rechts Harpoon mit Barb Up"}}},{"category":"Sm","key":"2967","mappings":{"default":{"default":"Linke Harpune mit Widerhaken nach unten Rechts Harpune mit Widerhaken nach unten"}}},{"category":"Sm","key":"2968","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach oben Harpune nach links mit Barb nach oben"}}},{"category":"Sm","key":"2969","mappings":{"default":{"default":"Harpune nach rechts mit Barb nach unten Harpune nach links mit Barb nach unten"}}},{"category":"Sm","key":"296A","mappings":{"default":{"default":"Linke Harpune mit Barb Up Above Long Dash"}}},{"category":"Sm","key":"296B","mappings":{"default":{"default":"Linke Harpune mit Barb Down Under Long Dash"}}},{"category":"Sm","key":"296C","mappings":{"default":{"default":"Harpune nach rechts mit Barb Up Long Long Dash"}}},{"category":"Sm","key":"296D","mappings":{"default":{"default":"Harpune nach rechts mit Widerhaken nach unten"}}},{"category":"Sm","key":"296E","mappings":{"default":{"default":"Harpune nach oben mit Barb links neben Harpune nach unten mit Barb rechts"}}},{"category":"Sm","key":"296F","mappings":{"default":{"default":"Harpune nach unten mit Barb links neben Harpune nach oben mit Barb rechts"}}},{"category":"Sm","key":"297C","mappings":{"default":{"default":"linker Fischschwanz"}}},{"category":"Sm","key":"297D","mappings":{"default":{"default":"rechter Fischschwanz"}}},{"category":"Sm","key":"297E","mappings":{"default":{"default":"Fischschwanz"}}},{"category":"Sm","key":"297F","mappings":{"default":{"default":"Fischschwanz"}}}]
 ,
-"en/latin-mathfonts-italic.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"italic capital a","short":"italic cap a"},"mathspeak":{"default":"italic upper A"}},"key":"1D434"},{"category":"Lu","mappings":{"default":{"default":"italic capital b","short":"italic cap b"},"mathspeak":{"default":"italic upper B"}},"key":"1D435"},{"category":"Lu","mappings":{"default":{"default":"italic capital c","short":"italic cap c"},"mathspeak":{"default":"italic upper C"}},"key":"1D436"},{"category":"Lu","mappings":{"default":{"default":"italic capital d","short":"italic cap d"},"mathspeak":{"default":"italic upper D"}},"key":"1D437"},{"category":"Lu","mappings":{"default":{"default":"italic capital e","short":"italic cap e"},"mathspeak":{"default":"italic upper E"}},"key":"1D438"},{"category":"Lu","mappings":{"default":{"default":"italic capital f","short":"italic cap f"},"mathspeak":{"default":"italic upper F"}},"key":"1D439"},{"category":"Lu","mappings":{"default":{"default":"italic capital g","short":"italic cap g"},"mathspeak":{"default":"italic upper G"}},"key":"1D43A"},{"category":"Lu","mappings":{"default":{"default":"italic capital h","short":"italic cap h"},"mathspeak":{"default":"italic upper H"}},"key":"1D43B"},{"category":"Lu","mappings":{"default":{"default":"italic capital i","short":"italic cap i"},"mathspeak":{"default":"italic upper I"}},"key":"1D43C"},{"category":"Lu","mappings":{"default":{"default":"italic capital j","short":"italic cap j"},"mathspeak":{"default":"italic upper J"}},"key":"1D43D"},{"category":"Lu","mappings":{"default":{"default":"italic capital k","short":"italic cap k"},"mathspeak":{"default":"italic upper K"}},"key":"1D43E"},{"category":"Lu","mappings":{"default":{"default":"italic capital l","short":"italic cap l"},"mathspeak":{"default":"italic upper L"}},"key":"1D43F"},{"category":"Lu","mappings":{"default":{"default":"italic capital m","short":"italic cap m"},"mathspeak":{"default":"italic upper M"}},"key":"1D440"},{"category":"Lu","mappings":{"default":{"default":"italic capital n","short":"italic cap n"},"mathspeak":{"default":"italic upper N"}},"key":"1D441"},{"category":"Lu","mappings":{"default":{"default":"italic capital o","short":"italic cap o"},"mathspeak":{"default":"italic upper O"}},"key":"1D442"},{"category":"Lu","mappings":{"default":{"default":"italic capital p","short":"italic cap p"},"mathspeak":{"default":"italic upper P"}},"key":"1D443"},{"category":"Lu","mappings":{"default":{"default":"italic capital q","short":"italic cap q"},"mathspeak":{"default":"italic upper Q"}},"key":"1D444"},{"category":"Lu","mappings":{"default":{"default":"italic capital r","short":"italic cap r"},"mathspeak":{"default":"italic upper R"}},"key":"1D445"},{"category":"Lu","mappings":{"default":{"default":"italic capital s","short":"italic cap s"},"mathspeak":{"default":"italic upper S"}},"key":"1D446"},{"category":"Lu","mappings":{"default":{"default":"italic capital t","short":"italic cap t"},"mathspeak":{"default":"italic upper T"}},"key":"1D447"},{"category":"Lu","mappings":{"default":{"default":"italic capital u","short":"italic cap u"},"mathspeak":{"default":"italic upper U"}},"key":"1D448"},{"category":"Lu","mappings":{"default":{"default":"italic capital v","short":"italic cap v"},"mathspeak":{"default":"italic upper V"}},"key":"1D449"},{"category":"Lu","mappings":{"default":{"default":"italic capital w","short":"italic cap w"},"mathspeak":{"default":"italic upper W"}},"key":"1D44A"},{"category":"Lu","mappings":{"default":{"default":"italic capital x","short":"italic cap x"},"mathspeak":{"default":"italic upper X"}},"key":"1D44B"},{"category":"Lu","mappings":{"default":{"default":"italic capital y","short":"italic cap y"},"mathspeak":{"default":"italic upper Y"}},"key":"1D44C"},{"category":"Lu","mappings":{"default":{"default":"italic capital z","short":"italic cap z"},"mathspeak":{"default":"italic upper Z"}},"key":"1D44D"},{"category":"Ll","mappings":{"default":{"default":"italic small a","short":"italic a"}},"key":"1D44E"},{"category":"Ll","mappings":{"default":{"default":"italic small b","short":"italic b"}},"key":"1D44F"},{"category":"Ll","mappings":{"default":{"default":"italic small c","short":"italic c"}},"key":"1D450"},{"category":"Ll","mappings":{"default":{"default":"italic small d","short":"italic d"}},"key":"1D451"},{"category":"Ll","mappings":{"default":{"default":"italic small e","short":"italic e"}},"key":"1D452"},{"category":"Ll","mappings":{"default":{"default":"italic small f","short":"italic f"}},"key":"1D453"},{"category":"Ll","mappings":{"default":{"default":"italic small g","short":"italic g"}},"key":"1D454"},{"category":"Ll","mappings":{"default":{"default":"italic small h","short":"italic h"},"physics":{"default":"planck constant"}},"key":"210E"},{"category":"Ll","mappings":{"default":{"default":"italic small i","short":"italic i"}},"key":"1D456"},{"category":"Ll","mappings":{"default":{"default":"italic small j","short":"italic j"}},"key":"1D457"},{"category":"Ll","mappings":{"default":{"default":"italic small k","short":"italic k"}},"key":"1D458"},{"category":"Ll","mappings":{"default":{"default":"italic small l","short":"italic l"}},"key":"1D459"},{"category":"Ll","mappings":{"default":{"default":"italic small m","short":"italic m"}},"key":"1D45A"},{"category":"Ll","mappings":{"default":{"default":"italic small n","short":"italic n"}},"key":"1D45B"},{"category":"Ll","mappings":{"default":{"default":"italic small o","short":"italic o"}},"key":"1D45C"},{"category":"Ll","mappings":{"default":{"default":"italic small p","short":"italic p"}},"key":"1D45D"},{"category":"Ll","mappings":{"default":{"default":"italic small q","short":"italic q"}},"key":"1D45E"},{"category":"Ll","mappings":{"default":{"default":"italic small r","short":"italic r"}},"key":"1D45F"},{"category":"Ll","mappings":{"default":{"default":"italic small s","short":"italic s"}},"key":"1D460"},{"category":"Ll","mappings":{"default":{"default":"italic small t","short":"italic t"}},"key":"1D461"},{"category":"Ll","mappings":{"default":{"default":"italic small u","short":"italic u"}},"key":"1D462"},{"category":"Ll","mappings":{"default":{"default":"italic small v","short":"italic v"}},"key":"1D463"},{"category":"Ll","mappings":{"default":{"default":"italic small w","short":"italic w"}},"key":"1D464"},{"category":"Ll","mappings":{"default":{"default":"italic small x","short":"italic x"}},"key":"1D465"},{"category":"Ll","mappings":{"default":{"default":"italic small y","short":"italic y"}},"key":"1D466"},{"category":"Ll","mappings":{"default":{"default":"italic small z","short":"italic z"}},"key":"1D467"}]
+"de/symbols/math_non_characters.js": 
+[{"locale":"de"},{"category":"Ll","key":"210F","mappings":{"default":{"default":"Planck-Konstante über zwei Pi"}}},{"category":"So","key":"2114","mappings":{"default":{"default":"L B Balkensymbol"}}},{"category":"So","key":"2116","mappings":{"default":{"default":"Numero-Zeichen"}}},{"category":"So","key":"2117","mappings":{"default":{"default":"Tonaufnahme Copyright"}}},{"category":"So","key":"211E","mappings":{"default":{"default":"Rezept nehmen"}}},{"category":"So","key":"211F","mappings":{"default":{"default":"Antwort"}}},{"category":"So","key":"2120","mappings":{"default":{"default":"Dienstleistungsmarke"}}},{"category":"So","key":"2121","mappings":{"default":{"default":"Telefon Zeichen"}}},{"category":"So","key":"2122","mappings":{"default":{"default":"Markenzeichen"}}},{"category":"So","key":"2123","mappings":{"default":{"default":"Versicle"}}},{"category":"So","key":"2125","mappings":{"default":{"default":"Unze-Zeichen"}}},{"category":"Lu","key":"2126","mappings":{"default":{"default":"Ohm-Zeichen"}}},{"category":"So","key":"2127","mappings":{"default":{"default":"Umgekehrtes Ohm-Zeichen"}}},{"category":"Lu","key":"212A","mappings":{"default":{"default":"Kelvin-Zeichen"}}},{"category":"Lu","key":"212B","mappings":{"default":{"default":"Angstrom-Zeichen"}}},{"category":"So","key":"212E","mappings":{"default":{"default":"Geschätztes Symbol"}}},{"category":"Lu","key":"2132","mappings":{"default":{"default":"Umgeschlagenes Kapital F"}}},{"category":"Ll","key":"2139","mappings":{"default":{"default":"Informationsquelle"}}},{"category":"So","key":"213A","mappings":{"default":{"default":"Gedrehtes Kapital Q"}}},{"category":"So","key":"213B","mappings":{"default":{"default":"Faksimile-Zeichen"}}},{"category":"Sm","key":"2141","mappings":{"default":{"default":"Sans-Serif Capital G"}}},{"category":"Sm","key":"2142","mappings":{"default":{"default":"Sans-Serif Capital L"}}},{"category":"Sm","key":"2143","mappings":{"default":{"default":"Aufgehobenes Sans-Serif-Kapital L"}}},{"category":"Sm","key":"2144","mappings":{"default":{"default":"Sans-Serif Capital Y"}}}]
 ,
-"en/latin-mathfonts-monospace.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"monospace capital a","short":"monospace cap a"},"mathspeak":{"default":"monospace upper A"}},"key":"1D670"},{"category":"Lu","mappings":{"default":{"default":"monospace capital b","short":"monospace cap b"},"mathspeak":{"default":"monospace upper B"}},"key":"1D671"},{"category":"Lu","mappings":{"default":{"default":"monospace capital c","short":"monospace cap c"},"mathspeak":{"default":"monospace upper C"}},"key":"1D672"},{"category":"Lu","mappings":{"default":{"default":"monospace capital d","short":"monospace cap d"},"mathspeak":{"default":"monospace upper D"}},"key":"1D673"},{"category":"Lu","mappings":{"default":{"default":"monospace capital e","short":"monospace cap e"},"mathspeak":{"default":"monospace upper E"}},"key":"1D674"},{"category":"Lu","mappings":{"default":{"default":"monospace capital f","short":"monospace cap f"},"mathspeak":{"default":"monospace upper F"}},"key":"1D675"},{"category":"Lu","mappings":{"default":{"default":"monospace capital g","short":"monospace cap g"},"mathspeak":{"default":"monospace upper G"}},"key":"1D676"},{"category":"Lu","mappings":{"default":{"default":"monospace capital h","short":"monospace cap h"},"mathspeak":{"default":"monospace upper H"}},"key":"1D677"},{"category":"Lu","mappings":{"default":{"default":"monospace capital i","short":"monospace cap i"},"mathspeak":{"default":"monospace upper I"}},"key":"1D678"},{"category":"Lu","mappings":{"default":{"default":"monospace capital j","short":"monospace cap j"},"mathspeak":{"default":"monospace upper J"}},"key":"1D679"},{"category":"Lu","mappings":{"default":{"default":"monospace capital k","short":"monospace cap k"},"mathspeak":{"default":"monospace upper K"}},"key":"1D67A"},{"category":"Lu","mappings":{"default":{"default":"monospace capital l","short":"monospace cap l"},"mathspeak":{"default":"monospace upper L"}},"key":"1D67B"},{"category":"Lu","mappings":{"default":{"default":"monospace capital m","short":"monospace cap m"},"mathspeak":{"default":"monospace upper M"}},"key":"1D67C"},{"category":"Lu","mappings":{"default":{"default":"monospace capital n","short":"monospace cap n"},"mathspeak":{"default":"monospace upper N"}},"key":"1D67D"},{"category":"Lu","mappings":{"default":{"default":"monospace capital o","short":"monospace cap o"},"mathspeak":{"default":"monospace upper O"}},"key":"1D67E"},{"category":"Lu","mappings":{"default":{"default":"monospace capital p","short":"monospace cap p"},"mathspeak":{"default":"monospace upper P"}},"key":"1D67F"},{"category":"Lu","mappings":{"default":{"default":"monospace capital q","short":"monospace cap q"},"mathspeak":{"default":"monospace upper Q"}},"key":"1D680"},{"category":"Lu","mappings":{"default":{"default":"monospace capital r","short":"monospace cap r"},"mathspeak":{"default":"monospace upper R"}},"key":"1D681"},{"category":"Lu","mappings":{"default":{"default":"monospace capital s","short":"monospace cap s"},"mathspeak":{"default":"monospace upper S"}},"key":"1D682"},{"category":"Lu","mappings":{"default":{"default":"monospace capital t","short":"monospace cap t"},"mathspeak":{"default":"monospace upper T"}},"key":"1D683"},{"category":"Lu","mappings":{"default":{"default":"monospace capital u","short":"monospace cap u"},"mathspeak":{"default":"monospace upper U"}},"key":"1D684"},{"category":"Lu","mappings":{"default":{"default":"monospace capital v","short":"monospace cap v"},"mathspeak":{"default":"monospace upper V"}},"key":"1D685"},{"category":"Lu","mappings":{"default":{"default":"monospace capital w","short":"monospace cap w"},"mathspeak":{"default":"monospace upper W"}},"key":"1D686"},{"category":"Lu","mappings":{"default":{"default":"monospace capital x","short":"monospace cap x"},"mathspeak":{"default":"monospace upper X"}},"key":"1D687"},{"category":"Lu","mappings":{"default":{"default":"monospace capital y","short":"monospace cap y"},"mathspeak":{"default":"monospace upper Y"}},"key":"1D688"},{"category":"Lu","mappings":{"default":{"default":"monospace capital z","short":"monospace cap z"},"mathspeak":{"default":"monospace upper Z"}},"key":"1D689"},{"category":"Ll","mappings":{"default":{"default":"monospace small a","short":"monospace a"}},"key":"1D68A"},{"category":"Ll","mappings":{"default":{"default":"monospace small b","short":"monospace b"}},"key":"1D68B"},{"category":"Ll","mappings":{"default":{"default":"monospace small c","short":"monospace c"}},"key":"1D68C"},{"category":"Ll","mappings":{"default":{"default":"monospace small d","short":"monospace d"}},"key":"1D68D"},{"category":"Ll","mappings":{"default":{"default":"monospace small e","short":"monospace e"}},"key":"1D68E"},{"category":"Ll","mappings":{"default":{"default":"monospace small f","short":"monospace f"}},"key":"1D68F"},{"category":"Ll","mappings":{"default":{"default":"monospace small g","short":"monospace g"}},"key":"1D690"},{"category":"Ll","mappings":{"default":{"default":"monospace small h","short":"monospace h"}},"key":"1D691"},{"category":"Ll","mappings":{"default":{"default":"monospace small i","short":"monospace i"}},"key":"1D692"},{"category":"Ll","mappings":{"default":{"default":"monospace small j","short":"monospace j"}},"key":"1D693"},{"category":"Ll","mappings":{"default":{"default":"monospace small k","short":"monospace k"}},"key":"1D694"},{"category":"Ll","mappings":{"default":{"default":"monospace small l","short":"monospace l"}},"key":"1D695"},{"category":"Ll","mappings":{"default":{"default":"monospace small m","short":"monospace m"}},"key":"1D696"},{"category":"Ll","mappings":{"default":{"default":"monospace small n","short":"monospace n"}},"key":"1D697"},{"category":"Ll","mappings":{"default":{"default":"monospace small o","short":"monospace o"}},"key":"1D698"},{"category":"Ll","mappings":{"default":{"default":"monospace small p","short":"monospace p"}},"key":"1D699"},{"category":"Ll","mappings":{"default":{"default":"monospace small q","short":"monospace q"}},"key":"1D69A"},{"category":"Ll","mappings":{"default":{"default":"monospace small r","short":"monospace r"}},"key":"1D69B"},{"category":"Ll","mappings":{"default":{"default":"monospace small s","short":"monospace s"}},"key":"1D69C"},{"category":"Ll","mappings":{"default":{"default":"monospace small t","short":"monospace t"}},"key":"1D69D"},{"category":"Ll","mappings":{"default":{"default":"monospace small u","short":"monospace u"}},"key":"1D69E"},{"category":"Ll","mappings":{"default":{"default":"monospace small v","short":"monospace v"}},"key":"1D69F"},{"category":"Ll","mappings":{"default":{"default":"monospace small w","short":"monospace w"}},"key":"1D6A0"},{"category":"Ll","mappings":{"default":{"default":"monospace small x","short":"monospace x"}},"key":"1D6A1"},{"category":"Ll","mappings":{"default":{"default":"monospace small y","short":"monospace y"}},"key":"1D6A2"},{"category":"Ll","mappings":{"default":{"default":"monospace small z","short":"monospace z"}},"key":"1D6A3"}]
+"de/symbols/math_symbols.js": 
+[{"locale":"de"},{"key":"0021","mappings":{"default":{"default":"Fakultät"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"Anführungszeichen"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"Nummernzeichen"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"Dollar"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"Prozent"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"und"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"Hochkomma"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"times"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"plus"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"Komma"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"minus"}},"category":"Pd"},{"category":"Po","key":"002E","mappings":{"default":{"default":"Punkt"}}},{"key":"002F","mappings":{"default":{"default":"Schrägstrich"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"Doppelpunkt"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"Strichpunkt"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"kleiner als"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"ist gleich"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"größer als"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"Fragezeichen"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"Klammeraffe"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"Umgekehrter Schrägstrich"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circumflex"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"Unterstrich"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"Gravis Akzent"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"senkrechter Strich"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"Umgekehrtes Ausrufezeichen"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"Cent"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"Pfund"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"währungszeichen"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"gebrochene Linie"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"Abschnitt"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"diaeresis"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"Copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"weibliches Ordnungszeichen"}},"category":"Lo"},{"category":"Pi","key":"00AB","mappings":{"default":{"default":"Nach links zeigendes doppeltes spitzes Anführungszeichen"}}},{"key":"00AC","mappings":{"default":{"default":"nicht"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"registered sign"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"Überstrich","alternative":"Makron"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"Grad"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"plus minus"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"acute accent"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"micro sign"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"Paragraf"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"mal","alternative":"Punkt mittig"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"Cedille"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"Männliches Ordnungszeichen"}},"category":"Lo"},{"category":"Pf","key":"00BB","mappings":{"default":{"default":"Nach rechts zeigendes doppeltes spitzes Anführungszeichen"}}},{"key":"00BF","mappings":{"default":{"default":"umgekehrtes Fragezeichen"}},"category":"Po"},{"category":"Sm","key":"00D7","mappings":{"default":{"default":"mal"}}},{"category":"Sm","key":"00F7","mappings":{"default":{"default":"geteilt durch"}}},{"key":"02D8","mappings":{"default":{"default":"Breve"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"Überpunkt"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"Überring"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"Ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"Tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"Doppleakutakzent"}},"category":"Sk"},{"category":"Pd","key":"2010","mappings":{"default":{"default":"Bindestrich"}}},{"category":"Pd","key":"2011","mappings":{"default":{"default":"Nicht brechender Bindestrich"}}},{"category":"Pd","key":"2012","mappings":{"default":{"default":"Abbildung Bindestrich"}}},{"category":"Pd","key":"2013","mappings":{"default":{"default":"En Dash"}}},{"category":"Pd","key":"2014","mappings":{"default":{"default":"EM Dash"}}},{"category":"Pd","key":"2015","mappings":{"default":{"default":"Horizontale Linie"}}},{"category":"Po","key":"2016","mappings":{"default":{"default":"Doppelte vertikale Linie"}}},{"category":"Po","key":"2017","mappings":{"default":{"default":"Doppelter Unterstrich"}}},{"category":"Pi","key":"2018","mappings":{"default":{"default":"Linkes einfaches Anführungszeichen"}}},{"category":"Pf","key":"2019","mappings":{"default":{"default":"Rechtes einfaches Anführungszeichen"}}},{"category":"Ps","key":"201A","mappings":{"default":{"default":"Einzelnes rechtes Anführungszeichen"}}},{"category":"Pi","key":"201B","mappings":{"default":{"default":"Einzelnes linkes Anführungszeichen"}}},{"category":"Pi","key":"201C","mappings":{"default":{"default":"Linkes doppeltes Anführungszeichen"}}},{"category":"Pf","key":"201D","mappings":{"default":{"default":"Rechtes doppeltes Anführungszeichen"}}},{"category":"Ps","key":"201E","mappings":{"default":{"default":"Doppeltes rechtes Anführungszeichen"}}},{"category":"Pi","key":"201F","mappings":{"default":{"default":"Doppeltes linkes Anführungszeichen"}}},{"category":"Po","key":"2020","mappings":{"default":{"default":"Dolch"}}},{"category":"Po","key":"2021","mappings":{"default":{"default":"Doppelter Dolch"}}},{"category":"Po","key":"2022","mappings":{"default":{"default":"Kugel"}}},{"category":"Po","key":"2023","mappings":{"default":{"default":"Dreieckige Kugel"}}},{"category":"Po","key":"2024","mappings":{"default":{"default":"Einzelpunkt"}}},{"category":"Po","key":"2025","mappings":{"default":{"default":"zwei Punkte"}}},{"category":"Po","key":"2026","mappings":{"default":{"default":"horizontale Ellipsis"}}},{"category":"Po","key":"2027","mappings":{"default":{"default":"Trennungspunkt"}}},{"category":"Po","key":"2030","mappings":{"default":{"default":"promille"}}},{"category":"Po","key":"2031","mappings":{"default":{"default":"pro Zehntausend"}}},{"key":"2032","mappings":{"default":{"default":"Strich"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"zwei Strich"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"drei Strich"}},"category":"Po"},{"category":"Po","key":"2035","mappings":{"default":{"default":"strich invertiert"}}},{"category":"Po","key":"2036","mappings":{"default":{"default":"zwei Strich invertiert"}}},{"category":"Po","key":"2037","mappings":{"default":{"default":"drei Strich invertiert"}}},{"category":"Po","key":"2038","mappings":{"default":{"default":"Caret"}}},{"category":"Pi","key":"2039","mappings":{"default":{"default":"Einfacher nach links zeigender Winkel Anführungszeichen"}}},{"category":"Pf","key":"203A","mappings":{"default":{"default":"Einzelne Nach-rechts-Winkel-Anführungszeichen"}}},{"category":"Po","key":"203B","mappings":{"default":{"default":"Referenzmarke"}}},{"category":"Po","key":"203C","mappings":{"default":{"default":"Doppelausrufezeichen"}}},{"category":"Po","key":"203D","mappings":{"default":{"default":"Interrobang"}}},{"category":"Po","key":"203E","mappings":{"default":{"default":"Überschrift"}}},{"category":"Pc","key":"203F","mappings":{"default":{"default":"Undertie"}}},{"category":"Pc","key":"2040","mappings":{"default":{"default":"Zeichen Krawatte"}}},{"category":"Po","key":"2041","mappings":{"default":{"default":"Caret-Einfügungspunkt"}}},{"category":"Po","key":"2042","mappings":{"default":{"default":"Asterism"}}},{"category":"Po","key":"2043","mappings":{"default":{"default":"Bindestrich Kugel"}}},{"category":"Sm","key":"2044","mappings":{"default":{"default":"Fraktions-Schrägstrich"}}},{"category":"Po","key":"2047","mappings":{"default":{"default":"Doppel-Fragezeichen"}}},{"category":"Po","key":"2048","mappings":{"default":{"default":"Fragezeichen für Ausrufezeichen"}}},{"category":"Po","key":"2049","mappings":{"default":{"default":"Ausrufezeichen"}}},{"category":"Po","key":"204B","mappings":{"default":{"default":"Umgekehrtes Pilcrow-Zeichen"}}},{"category":"Po","key":"204C","mappings":{"default":{"default":"Schwarze Kugel nach links"}}},{"category":"Po","key":"204D","mappings":{"default":{"default":"Schwarze Kugel nach rechts"}}},{"category":"Po","key":"204E","mappings":{"default":{"default":"Niedriges Sternchen"}}},{"category":"Po","key":"204F","mappings":{"default":{"default":"Umgekehrtes Semikolon"}}},{"category":"Po","key":"2050","mappings":{"default":{"default":"Nahansicht"}}},{"category":"Po","key":"2051","mappings":{"default":{"default":"Zwei Sternchen vertikal ausgerichtet"}}},{"category":"Sm","key":"2052","mappings":{"default":{"default":"Kommerzielles Minuszeichen"}}},{"category":"Po","key":"2053","mappings":{"default":{"default":"Swing Dash"}}},{"category":"Pc","key":"2054","mappings":{"default":{"default":"Inverted Undertie"}}},{"category":"Po","key":"2055","mappings":{"default":{"default":"Blume Interpunktionszeichen"}}},{"category":"Po","key":"2056","mappings":{"default":{"default":"Drei Punkt-Interpunktion"}}},{"key":"2057","mappings":{"default":{"default":"quadruple prime"}},"category":"Po"},{"category":"Po","key":"2058","mappings":{"default":{"default":"Vierpunkt-Interpunktion"}}},{"category":"Po","key":"2059","mappings":{"default":{"default":"Fünf Punkt-Interpunktion"}}},{"category":"Po","key":"205A","mappings":{"default":{"default":"Zwei Punkt-Interpunktion"}}},{"category":"Po","key":"205B","mappings":{"default":{"default":"Vier-Punkt-Markierung"}}},{"category":"Po","key":"205C","mappings":{"default":{"default":"Gepunktetes Kreuz"}}},{"category":"Po","key":"205D","mappings":{"default":{"default":"Tricolon"}}},{"category":"Po","key":"205E","mappings":{"default":{"default":"Vertikale vier Punkte"}}},{"category":"Sm","key":"207A","mappings":{"default":{"default":"Hochgestelltes Pluszeichen"}}},{"category":"Sm","key":"207B","mappings":{"default":{"default":"Hochgestelltes Minus"}}},{"category":"Sm","key":"207C","mappings":{"default":{"default":"Hochgestelltes Gleichheitszeichen"}}},{"category":"Ps","key":"207D","mappings":{"default":{"default":"Hochgestellte linke Klammer"}}},{"category":"Pe","key":"207E","mappings":{"default":{"default":"Hochgestellte rechte Klammer"}}},{"category":"Sm","key":"208A","mappings":{"default":{"default":"Index Pluszeichen"}}},{"category":"Sm","key":"208B","mappings":{"default":{"default":"Tiefgestelltes Minus"}}},{"category":"Sm","key":"208C","mappings":{"default":{"default":"Tiefgestelltes Gleichheitszeichen"}}},{"category":"Ps","key":"208D","mappings":{"default":{"default":"Tiefgestellte linke Klammer"}}},{"category":"Pe","key":"208E","mappings":{"default":{"default":"Tiefgestellte rechte Klammer"}}},{"category":"So","key":"214A","mappings":{"default":{"default":"Grundstücksgrenze"}}},{"category":"Sm","key":"214B","mappings":{"default":{"default":"Ampersand gedreht"}}},{"category":"So","key":"214C","mappings":{"default":{"default":"Pro Zeichen"}}},{"category":"So","key":"214D","mappings":{"default":{"default":"Aktieselskab"}}},{"category":"Ll","key":"214E","mappings":{"default":{"default":"Gedreht klein F"}}},{"key":"2200","mappings":{"default":{"default":"für alle"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"Komplement"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"es gibt"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"es gibt nicht"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"leere Menge"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"Differenz"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"Element von"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"nicht Element von"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"Element von"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"hat als Element"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"hat nicht als Element"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"hat als Element"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"Ende Beweis"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"Produkt"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"Koprodukt"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"Summe"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"minus"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"minus plus"}},"category":"Sm"},{"category":"Sm","key":"2214","mappings":{"default":{"default":"Plus mit Punkt"}}},{"key":"2215","mappings":{"default":{"default":"Division"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"Mengendifferenz"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"Sternoperator"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"verknüpft mit"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"Kreisoperator"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"Quadratwurzelzeichen"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"Kubikwurzelzeichen"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"vierte Wurzel"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proportional zu"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"unendlich"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"rechter Winkel"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"Winkel"}},"category":"Sm"},{"category":"Sm","key":"2221","mappings":{"default":{"default":"gerichteter Winkel"}}},{"category":"Sm","key":"2222","mappings":{"default":{"default":"Raumwinkel"}}},{"key":"2223","mappings":{"default":{"default":"teilt"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"teilt nicht"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"parallel zu"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"nicht parallel zu"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"und"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"oder"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"Durchschnitt"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"Vereinigung"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"Integral"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"Doppelintegral"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"Dreifachintegral"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"Randintegral"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"Oberflächenintegral"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"Volumenintegral"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"Integral im Uhrzeigersinn"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"Kurvenintegral im Uhrzeigersinn"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"Kurvenintegral im Gegenuhrzeigersinn"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"folglich"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"weil"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"Verhältnis"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"Proportion"}},"category":"Sm"},{"category":"Sm","key":"2238","mappings":{"default":{"default":"Minus mit Punkt"}}},{"category":"Sm","key":"2239","mappings":{"default":{"default":"Überschuss"}}},{"key":"223A","mappings":{"default":{"default":"geometrische Proportion"}},"category":"Sm"},{"category":"Sm","key":"223B","mappings":{"default":{"default":"homothetisch"}}},{"category":"Sm","key":"223C","mappings":{"default":{"default":"Tildeoperator"}}},{"category":"Sm","key":"223D","mappings":{"default":{"default":"Umgekehrte Tilde"}}},{"category":"Sm","key":"223E","mappings":{"default":{"default":"Umgekehrtes stummes S"}}},{"category":"Sm","key":"223F","mappings":{"default":{"default":"Sinuswelle"}}},{"category":"Sm","key":"2240","mappings":{"default":{"default":"Kranzprodukt"}}},{"category":"Sm","key":"2241","mappings":{"default":{"default":"durchgestrichene Tilde"}}},{"category":"Sm","key":"2242","mappings":{"default":{"default":"Minus über Tilde"}}},{"key":"2243","mappings":{"default":{"default":"asymptotisch gleich"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"nicht asymptotisch gleich"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"ungefähr gleich"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"ungefähr, aber nicht ganz gleich"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"weder ungefähr noch ganz gleich"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"beinahe gleich"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"nicht beinahe gleich"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"beinahe gleich oder gleich"}},"category":"Sm"},{"category":"Sm","key":"224B","mappings":{"default":{"default":"dreifache Tilde"}}},{"category":"Sm","key":"224C","mappings":{"default":{"default":"alles gleich"}}},{"key":"224D","mappings":{"default":{"default":"äquivalent zu"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"geometrisch äquivalent zu"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"Differenz zwischen"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"nähert sich der Grenze"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"geometrisch gleich"}},"category":"Sm"},{"category":"Sm","key":"2252","mappings":{"default":{"default":"Ungefähr gleich oder das Bild von"}}},{"category":"Sm","key":"2253","mappings":{"default":{"default":"Bild von oder ungefähr gleich"}}},{"key":"2254","mappings":{"default":{"default":"definiert als"}},"category":"Sm"},{"category":"Sm","key":"2255","mappings":{"default":{"default":"definiert als von rechts"}}},{"category":"Sm","key":"2256","mappings":{"default":{"default":"ungefähr gleich"}}},{"category":"Sm","key":"2257","mappings":{"default":{"default":"ungefähr gleich"}}},{"key":"2258","mappings":{"default":{"default":"entspricht"}},"category":"Sm"},{"category":"Sm","key":"2259","mappings":{"default":{"default":"entspricht"}}},{"category":"Sm","key":"225A","mappings":{"default":{"default":"gleichwinklig zu"}}},{"category":"Sm","key":"225B","mappings":{"default":{"default":"gleich mit Stern"}}},{"category":"Sm","key":"225C","mappings":{"default":{"default":"gleich mit Delta"}}},{"key":"225D","mappings":{"default":{"default":"definitionsgemäß gleich"}},"category":"Sm"},{"category":"Sm","key":"225E","mappings":{"default":{"default":"gemessen mit"}}},{"category":"Sm","key":"225F","mappings":{"default":{"default":"vielleicht gleich"}}},{"key":"2260","mappings":{"default":{"default":"ungleich"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"kongruent mit"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"nicht kongruent mit"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"genau äquivalent mit"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"kleiner oder gleich"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"größer oder gleich"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"kleiner als über gleich"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"größer als über gleich"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"kleiner als, aber nicht gleich"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"größer als, aber nicht gleich"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"viel kleiner als"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"viel größer als"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"zwischen"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"nicht äquivalent mit"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"nicht kleiner als"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"nicht größer als"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"weder kleiner als noch gleich"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"weder größer als noch gleich"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"kleiner als oder äquivalent"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"größer als oder äquivalent"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"weder kleiner als noch äquivalent"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"weder größer als noch äquivalent"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"kleiner oder größer als"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"größer oder kleiner als"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"weder kleiner noch größer als"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"weder größer noch kleiner als"}},"category":"Sm"},{"category":"Sm","key":"227A","mappings":{"default":{"default":"vorangehend"}}},{"category":"Sm","key":"227B","mappings":{"default":{"default":"nachfolgend"}}},{"category":"Sm","key":"227C","mappings":{"default":{"default":"vorangehend oder gleich"}}},{"category":"Sm","key":"227D","mappings":{"default":{"default":"nachfolgend oder gleich"}}},{"category":"Sm","key":"227E","mappings":{"default":{"default":"vorangehend oder äquivalent"}}},{"category":"Sm","key":"227F","mappings":{"default":{"default":"nachfolgend oder äquivalent"}}},{"category":"Sm","key":"2280","mappings":{"default":{"default":"nicht vorangehend"}}},{"category":"Sm","key":"2281","mappings":{"default":{"default":"nicht nachfolgend"}}},{"category":"Sm","key":"2282","mappings":{"default":{"default":"echte Teilmenge von"}}},{"category":"Sm","key":"2283","mappings":{"default":{"default":"echte Obermenge von"}}},{"category":"Sm","key":"2284","mappings":{"default":{"default":"keine echte Teilmenge von"}}},{"category":"Sm","key":"2285","mappings":{"default":{"default":"kein echte Obermenge von"}}},{"category":"Sm","key":"2286","mappings":{"default":{"default":"Teilmenge oder gleich"}}},{"category":"Sm","key":"2287","mappings":{"default":{"default":"Obermenge oder gleich"}}},{"category":"Sm","key":"2288","mappings":{"default":{"default":"weder Teilmenge noch gleich"}}},{"category":"Sm","key":"2289","mappings":{"default":{"default":"weder Obermenge noch gleich"}}},{"category":"Sm","key":"228A","mappings":{"default":{"default":"Teilmenge aber nicht gleich"}}},{"category":"Sm","key":"228B","mappings":{"default":{"default":"Obermenge aber nicht gleich"}}},{"category":"Sm","key":"228C","mappings":{"default":{"default":"Multimenge"}}},{"category":"Sm","key":"228D","mappings":{"default":{"default":"Multimengenmultiplikation"}}},{"category":"Sm","key":"228E","mappings":{"default":{"default":"Multimengenvereinigung"}}},{"category":"Sm","key":"228F","mappings":{"default":{"default":"quadratisches Bild von"}}},{"category":"Sm","key":"2290","mappings":{"default":{"default":"quadratisches Original von"}}},{"category":"Sm","key":"2291","mappings":{"default":{"default":"quadratisches Bild oder gleich"}}},{"category":"Sm","key":"2292","mappings":{"default":{"default":"quadratisches Original oder gleich"}}},{"category":"Sm","key":"2293","mappings":{"default":{"default":"quadratische Schnittmenge"}}},{"category":"Sm","key":"2294","mappings":{"default":{"default":"quadratische VereinigungTasse"}}},{"category":"Sm","key":"2295","mappings":{"default":{"default":"eingekreistes Plus"}}},{"category":"Sm","key":"2296","mappings":{"default":{"default":"eingekreistes Minus"}}},{"category":"Sm","key":"2297","mappings":{"default":{"default":"eingekreiste Multiplikation"}}},{"category":"Sm","key":"2298","mappings":{"default":{"default":"eingekreiste Division"}}},{"category":"Sm","key":"2299","mappings":{"default":{"default":"eingekreister Punktoperator"}}},{"category":"Sm","key":"229A","mappings":{"default":{"default":"eingekreister Ringoperator"}}},{"category":"Sm","key":"229B","mappings":{"default":{"default":"eingekreister Sternoperator"}}},{"category":"Sm","key":"229C","mappings":{"default":{"default":"eingekreistes Gleich"}}},{"category":"Sm","key":"229D","mappings":{"default":{"default":"eingekreister Gedankenstrich"}}},{"category":"Sm","key":"229E","mappings":{"default":{"default":"eingerahmtes Plus"}}},{"category":"Sm","key":"229F","mappings":{"default":{"default":"eingerahmtes Minus"}}},{"category":"Sm","key":"22A0","mappings":{"default":{"default":"eingerahmte Multiplikation"}}},{"category":"Sm","key":"22A1","mappings":{"default":{"default":"eingerahmter Punktoperator"}}},{"category":"Sm","key":"22A2","mappings":{"default":{"default":"ergibt"}}},{"category":"Sm","key":"22A3","mappings":{"default":{"default":"ergibt nicht"}}},{"category":"Sm","key":"22A4","mappings":{"default":{"default":"senkrecht von"}}},{"category":"Sm","key":"22A5","mappings":{"default":{"default":"senkrecht auf"}}},{"category":"Sm","key":"22A6","mappings":{"default":{"default":"Behauptung"}}},{"category":"Sm","key":"22A7","mappings":{"default":{"default":"Model"}}},{"category":"Sm","key":"22A8","mappings":{"default":{"default":"wahr"}}},{"category":"Sm","key":"22A9","mappings":{"default":{"default":"erzwingen"}}},{"category":"Sm","key":"22AA","mappings":{"default":{"default":"dreifache vertikale Leiste mit rechtem Drehkreuz"}}},{"category":"Sm","key":"22AB","mappings":{"default":{"default":"doppelte vertikale Leiste mit doppeltem rechtem Drehkreuz"}}},{"category":"Sm","key":"22AC","mappings":{"default":{"default":"beweist nicht"}}},{"category":"Sm","key":"22AD","mappings":{"default":{"default":"nicht wahr"}}},{"category":"Sm","key":"22AE","mappings":{"default":{"default":"nicht erzwingen"}}},{"category":"Sm","key":"22AF","mappings":{"default":{"default":"negierte doppelte vertikale Leiste mit doppeltem rechten Drehkreuz"}}},{"category":"Sm","key":"22B0","mappings":{"default":{"default":"vorangehend in Relation"}}},{"category":"Sm","key":"22B1","mappings":{"default":{"default":"nachfolgend in Relation"}}},{"category":"Sm","key":"22B2","mappings":{"default":{"default":"normale Untergruppe"}}},{"category":"Sm","key":"22B3","mappings":{"default":{"default":"enthält normale Untergruppe"}}},{"category":"Sm","key":"22B4","mappings":{"default":{"default":"normale Untergruppe von oder gleich"}}},{"category":"Sm","key":"22B5","mappings":{"default":{"default":"enthält normale Untergruppe oder gleich"}}},{"category":"Sm","key":"22B6","mappings":{"default":{"default":"Original von"}}},{"category":"Sm","key":"22B7","mappings":{"default":{"default":"Bild von"}}},{"category":"Sm","key":"22B8","mappings":{"default":{"default":"Mehrfachzuordnung"}}},{"category":"Sm","key":"22B9","mappings":{"default":{"default":"hermitesch konjugierte Matrix"}}},{"category":"Sm","key":"22BA","mappings":{"default":{"default":"einschalten"}}},{"category":"Sm","key":"22BB","mappings":{"default":{"default":"Ausschließendes Oder"}}},{"category":"Sm","key":"22BC","mappings":{"default":{"default":"Nand verknüpft mit"}}},{"category":"Sm","key":"22BD","mappings":{"default":{"default":"Nor verknüpft mit"}}},{"category":"Sm","key":"22BF","mappings":{"default":{"default":"rechtwinkliges Dreieck"}}},{"category":"Sm","key":"22C0","mappings":{"default":{"default":"N-stufiges logisches Und"}}},{"category":"Sm","key":"22C1","mappings":{"default":{"default":"N-stufiges logisches Oder"}}},{"category":"Sm","key":"22C2","mappings":{"default":{"default":"N-stufiger Durchschnitt"}}},{"category":"Sm","key":"22C3","mappings":{"default":{"default":"N-stufige Vereinigung"}}},{"category":"Sm","key":"22C4","mappings":{"default":{"default":"Rautenoperator"}}},{"category":"Sm","key":"22C5","mappings":{"default":{"default":"mal","alternative":"Multiplikationspunkt"}}},{"category":"Sm","key":"22C6","mappings":{"default":{"default":"Sternoperator"}}},{"category":"Sm","key":"22C7","mappings":{"default":{"default":"Divisionsanzahl"}}},{"category":"Sm","key":"22C8","mappings":{"default":{"default":"Schleife"}}},{"category":"Sm","key":"22C9","mappings":{"default":{"default":"linkes halbdirektes Produkt"}}},{"category":"Sm","key":"22CA","mappings":{"default":{"default":"rechtes halbdirektes Produkt"}}},{"category":"Sm","key":"22CB","mappings":{"default":{"default":"linkes halbdirektes Produkt"}}},{"category":"Sm","key":"22CC","mappings":{"default":{"default":"rechtes halbdirektes Produkt"}}},{"category":"Sm","key":"22CD","mappings":{"default":{"default":"umgekehrte Tilde gleich"}}},{"category":"Sm","key":"22CE","mappings":{"default":{"default":"geschweiftes logisches Oder"}}},{"category":"Sm","key":"22CF","mappings":{"default":{"default":"geschweiftes logisches Und"}}},{"category":"Sm","key":"22D0","mappings":{"default":{"default":"doppelte Teilmenge"}}},{"category":"Sm","key":"22D1","mappings":{"default":{"default":"doppelte Obermenge"}}},{"category":"Sm","key":"22D2","mappings":{"default":{"default":"doppelter Durchschnitt"}}},{"category":"Sm","key":"22D3","mappings":{"default":{"default":"doppelte Vereinigung"}}},{"category":"Sm","key":"22D4","mappings":{"default":{"default":"echter Durchschnitt"}}},{"category":"Sm","key":"22D5","mappings":{"default":{"default":"gleich und parallel"}}},{"category":"Sm","key":"22D6","mappings":{"default":{"default":"kleiner als mit Punkt"}}},{"category":"Sm","key":"22D7","mappings":{"default":{"default":"größer als mit Punkt"}}},{"category":"Sm","key":"22D8","mappings":{"default":{"default":"sehr viel kleiner als"}}},{"category":"Sm","key":"22D9","mappings":{"default":{"default":"sehr viel größer als"}}},{"category":"Sm","key":"22DA","mappings":{"default":{"default":"kleiner als, gleich oder größer als"}}},{"category":"Sm","key":"22DB","mappings":{"default":{"default":"größer als, gleich oder kleiner als"}}},{"category":"Sm","key":"22DC","mappings":{"default":{"default":"gleich oder kleiner als"}}},{"category":"Sm","key":"22DD","mappings":{"default":{"default":"gleich oder größer als"}}},{"category":"Sm","key":"22DE","mappings":{"default":{"default":"gleich oder vorangehend"}}},{"category":"Sm","key":"22DF","mappings":{"default":{"default":"gleich oder nachfolgend"}}},{"category":"Sm","key":"22E0","mappings":{"default":{"default":"weder vorangehend oder gleich"}}},{"category":"Sm","key":"22E1","mappings":{"default":{"default":"weder nachfolgend oder gleich"}}},{"category":"Sm","key":"22E2","mappings":{"default":{"default":"kein quadratisches Bild oder gleich"}}},{"category":"Sm","key":"22E3","mappings":{"default":{"default":"kein quadratisches Original oder gleich"}}},{"category":"Sm","key":"22E4","mappings":{"default":{"default":"quadratisches Bild oder nicht gleich"}}},{"category":"Sm","key":"22E5","mappings":{"default":{"default":"quadratisches Original oder nicht gleich"}}},{"category":"Sm","key":"22E6","mappings":{"default":{"default":"kleiner als, aber nicht äquivalent"}}},{"category":"Sm","key":"22E7","mappings":{"default":{"default":"größer als, aber nicht äquivalent"}}},{"category":"Sm","key":"22E8","mappings":{"default":{"default":"vorangehend, aber nicht äquivalent"}}},{"category":"Sm","key":"22E9","mappings":{"default":{"default":"nachfolgend, aber nicht äquivalent"}}},{"category":"Sm","key":"22EA","mappings":{"default":{"default":"nicht normale Untergruppe von"}}},{"category":"Sm","key":"22EB","mappings":{"default":{"default":"enthält keine normale Untergruppe"}}},{"category":"Sm","key":"22EC","mappings":{"default":{"default":"keine normale Untergruppe von oder gleich"}}},{"category":"Sm","key":"22ED","mappings":{"default":{"default":"enthält nicht als normale Untergruppe oder gleich"}}},{"category":"Sm","key":"22EE","mappings":{"default":{"default":"Vertikale Ellipsis"}}},{"category":"Sm","key":"22EF","mappings":{"default":{"default":"Zentrierte horizontale Ellipse"}}},{"category":"Sm","key":"22F0","mappings":{"default":{"default":"Diagonale Ellipse unten links nach oben rechts"}}},{"category":"Sm","key":"22F1","mappings":{"default":{"default":"Diagonale Ellipse, oben links nach unten rechts"}}},{"category":"Sm","key":"22F2","mappings":{"default":{"default":"Element mit langem horizontalen Strich"}}},{"category":"Sm","key":"22F3","mappings":{"default":{"default":"Element mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"category":"Sm","key":"22F4","mappings":{"default":{"default":"kleines Element mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"category":"Sm","key":"22F5","mappings":{"default":{"default":"Element mit Punkt"}}},{"category":"Sm","key":"22F6","mappings":{"default":{"default":"Element mit Überstrich"}}},{"key":"22F7","mappings":{"default":{"default":"kleines Element mit Überstrich"}},"category":"Sm"},{"category":"Sm","key":"22F8","mappings":{"default":{"default":"Element mit Unterstrich"}}},{"category":"Sm","key":"22F9","mappings":{"default":{"default":"Element mit 2 horizontalen Strichen"}}},{"category":"Sm","key":"22FA","mappings":{"default":{"default":"umgekehrtes Elementzeichen mit langem horizontalen Strich"}}},{"category":"Sm","key":"22FB","mappings":{"default":{"default":"umgekehrtes Elementzeichen mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"category":"Sm","key":"22FC","mappings":{"default":{"default":"kleines umgekehrtes Elementzeichen mit vertikalem Strich am Ende des horizontalen Strichs"}}},{"key":"22FD","mappings":{"default":{"default":"umgekehrtes Elementzeichen mit Überstrich"}},"category":"Sm"},{"category":"Sm","key":"22FE","mappings":{"default":{"default":"kleines umgekehrtes Elementzeichen mit Überstrich"}}},{"category":"Sm","key":"22FF","mappings":{"default":{"default":"Z-Notation-Bag-Mitgliedschaft"}}},{"category":"So","key":"2300","mappings":{"default":{"default":"Durchmesser-Zeichen"}}},{"category":"So","key":"2302","mappings":{"default":{"default":"Haus"}}},{"category":"So","key":"2305","mappings":{"default":{"default":"Projektiv"}}},{"category":"So","key":"2306","mappings":{"default":{"default":"Perspektive"}}},{"category":"So","key":"2307","mappings":{"default":{"default":"Schlangenlinie"}}},{"category":"So","key":"2310","mappings":{"default":{"default":"Umgekehrtes Nichtzeichen"}}},{"category":"So","key":"2311","mappings":{"default":{"default":"Quadratische Raute"}}},{"category":"So","key":"2312","mappings":{"default":{"default":"Bogen"}}},{"category":"So","key":"2313","mappings":{"default":{"default":"Segment"}}},{"category":"So","key":"2314","mappings":{"default":{"default":"Sektor"}}},{"category":"So","key":"2795","mappings":{"default":{"default":"Schweres Pluszeichen"}}},{"category":"So","key":"2796","mappings":{"default":{"default":"Schweres Minuszeichen"}}},{"category":"So","key":"2797","mappings":{"default":{"default":"Heavy Division Sign"}}},{"category":"So","key":"27B0","mappings":{"default":{"default":"Curly Loop"}}},{"category":"So","key":"27BF","mappings":{"default":{"default":"Doppelte geschweifte Schleife"}}},{"category":"Sm","key":"27C1","mappings":{"default":{"default":"Weißes Dreieck, das kleines weißes Dreieck enthält"}}},{"category":"Sm","key":"27C2","mappings":{"default":{"default":"Aufrecht"}}},{"category":"Sm","key":"27C3","mappings":{"default":{"default":"Subset öffnen"}}},{"category":"Sm","key":"27C4","mappings":{"default":{"default":"Superset öffnen"}}},{"category":"Sm","key":"27C7","mappings":{"default":{"default":"Oder mit innerem Punkt"}}},{"category":"Sm","key":"27C8","mappings":{"default":{"default":"Umgekehrter Schrägstrich Vorhergehender Teilsatz"}}},{"category":"Sm","key":"27C9","mappings":{"default":{"default":"Superset Vorgänger Schrägstrich"}}},{"category":"Sm","key":"27CA","mappings":{"default":{"default":"Vertikaler Balken mit horizontalem Hub"}}},{"category":"Sm","key":"27CB","mappings":{"default":{"default":"Mathematische aufsteigende Diagonale"}}},{"category":"Sm","key":"27CC","mappings":{"default":{"default":"Lange Abteilung"}}},{"category":"Sm","key":"27CD","mappings":{"default":{"default":"Mathematische fallende Diagonale"}}},{"category":"Sm","key":"27CE","mappings":{"default":{"default":"quadratisches und"}}},{"category":"Sm","key":"27CF","mappings":{"default":{"default":"quadratisches oder"}}},{"category":"Sm","key":"27D0","mappings":{"default":{"default":"Weißer Diamant mit zentriertem Punkt"}}},{"category":"Sm","key":"27D1","mappings":{"default":{"default":"Und mit Dot"}}},{"category":"Sm","key":"27D2","mappings":{"default":{"default":"Element der Öffnung nach oben"}}},{"category":"Sm","key":"27D3","mappings":{"default":{"default":"Untere rechte Ecke mit Punkt"}}},{"category":"Sm","key":"27D4","mappings":{"default":{"default":"Obere linke Ecke mit Punkt"}}},{"category":"Sm","key":"27D5","mappings":{"default":{"default":"Linke äußere Verbindung"}}},{"category":"Sm","key":"27D6","mappings":{"default":{"default":"rechter äußerer Join"}}},{"category":"Sm","key":"27D7","mappings":{"default":{"default":"Volle äußere Verbindung"}}},{"category":"Sm","key":"27D8","mappings":{"default":{"default":"Große Up Tack"}}},{"category":"Sm","key":"27D9","mappings":{"default":{"default":"Großes Down Tack"}}},{"category":"Sm","key":"27DA","mappings":{"default":{"default":"Linkes und rechtes doppeltes Drehkreuz"}}},{"category":"Sm","key":"27DB","mappings":{"default":{"default":"Linker und rechter Tack"}}},{"category":"Sm","key":"27DC","mappings":{"default":{"default":"Linke Multimap"}}},{"category":"Sm","key":"27DD","mappings":{"default":{"default":"Long Right Tack"}}},{"category":"Sm","key":"27DE","mappings":{"default":{"default":"Langer linker Tack"}}},{"category":"Sm","key":"27DF","mappings":{"default":{"default":"Up Tack mit Kreis oben"}}},{"category":"Sm","key":"27E0","mappings":{"default":{"default":"Raute durch horizontale Regel geteilt"}}},{"category":"Sm","key":"27E1","mappings":{"default":{"default":"Weißer konkavseitiger Diamant"}}},{"category":"Sm","key":"27E2","mappings":{"default":{"default":"Weißer konkavseitiger Diamant mit Zecke nach links"}}},{"category":"Sm","key":"27E3","mappings":{"default":{"default":"Weißer konkavseitiger Diamant mit Zecke nach rechts"}}},{"category":"Sm","key":"27E4","mappings":{"default":{"default":"Weißes Quadrat mit Zecke nach links"}}},{"category":"Sm","key":"27E5","mappings":{"default":{"default":"Weißes Quadrat mit Tick nach rechts"}}},{"category":"Sm","key":"292B","mappings":{"default":{"default":"Steigende diagonale Kreuzung fallende Diagonale"}}},{"category":"Sm","key":"292C","mappings":{"default":{"default":"Fallende diagonale Kreuzung steigende Diagonale"}}},{"category":"Sm","key":"2980","mappings":{"default":{"default":"Dreifacher vertikaler Balkenbegrenzer"}}},{"category":"Sm","key":"2981","mappings":{"default":{"default":"Z Notationspunkt"}}},{"category":"Sm","key":"2982","mappings":{"default":{"default":"Z Notationstyp Doppelpunkt"}}},{"category":"Sm","key":"2999","mappings":{"default":{"default":"Gepunkteter Zaun"}}},{"category":"Sm","key":"299A","mappings":{"default":{"default":"Vertikale Zickzacklinie"}}},{"category":"Sm","key":"29B0","mappings":{"default":{"default":"Umgekehrter leerer Satz"}}},{"category":"Sm","key":"29B1","mappings":{"default":{"default":"Leeres Set mit Overbar"}}},{"category":"Sm","key":"29B2","mappings":{"default":{"default":"Leeres Set mit kleinem Kreis oben"}}},{"category":"Sm","key":"29B5","mappings":{"default":{"default":"Kreis mit horizontaler Leiste"}}},{"key":"29B6","mappings":{"default":{"default":"circled vertical bar"}},"category":"Sm"},{"category":"Sm","key":"29B7","mappings":{"default":{"default":"eingekreiste Parallele"}}},{"category":"Sm","key":"29B8","mappings":{"default":{"default":"eingekreister umgekehrter Schrägstrich"}}},{"category":"Sm","key":"29B9","mappings":{"default":{"default":"eingekreistes Senkrecht"}}},{"category":"Sm","key":"29BA","mappings":{"default":{"default":"Kreis geteilt durch horizontale Leiste und obere Hälfte geteilt durch vertikale Leiste"}}},{"category":"Sm","key":"29BB","mappings":{"default":{"default":"Kreis mit überlagertem X"}}},{"category":"Sm","key":"29BC","mappings":{"default":{"default":"eingekreistes, gegen den Uhrzeigersinn gedrehtes Divisionszeichen"}}},{"category":"Sm","key":"29BE","mappings":{"default":{"default":"eingekreiste weiße Kugel"}}},{"category":"Sm","key":"29BF","mappings":{"default":{"default":"eingekreiste Kugel"}}},{"category":"Sm","key":"29C0","mappings":{"default":{"default":"eingekreist weniger als"}}},{"category":"Sm","key":"29C1","mappings":{"default":{"default":"eingekreist größer als"}}},{"category":"Sm","key":"29C2","mappings":{"default":{"default":"Kreis mit kleinem Kreis nach rechts"}}},{"category":"Sm","key":"29C3","mappings":{"default":{"default":"Kreis mit zwei horizontalen Strichen nach rechts"}}},{"category":"Sm","key":"29C4","mappings":{"default":{"default":"Quadrat mit Diagonale links unten nach rechts oben"}}},{"category":"Sm","key":"29C5","mappings":{"default":{"default":"Quadrat mit Diagonale links oben nach rechts unten"}}},{"category":"Sm","key":"29C6","mappings":{"default":{"default":"Quadrat Sternchen"}}},{"category":"Sm","key":"29C7","mappings":{"default":{"default":"Quadratischer kleiner Kreis"}}},{"category":"Sm","key":"29C8","mappings":{"default":{"default":"Doppelquadrat"}}},{"category":"Sm","key":"29C9","mappings":{"default":{"default":"Zwei verbundene Quadrate"}}},{"category":"Sm","key":"29CA","mappings":{"default":{"default":"Dreieck mit Punkt oben"}}},{"category":"Sm","key":"29CB","mappings":{"default":{"default":"Dreieck mit Unterleiste"}}},{"category":"Sm","key":"29CC","mappings":{"default":{"default":"S im Dreieck"}}},{"category":"Sm","key":"29CD","mappings":{"default":{"default":"Dreieck mit Serifen unten"}}},{"category":"Sm","key":"29CE","mappings":{"default":{"default":"Rechtes Dreieck über linkem Dreieck"}}},{"category":"Sm","key":"29CF","mappings":{"default":{"default":"Linkes Dreieck neben vertikaler Leiste"}}},{"category":"Sm","key":"29D0","mappings":{"default":{"default":"Vertikaler Balken neben dem rechten Dreieck"}}},{"category":"Sm","key":"29D1","mappings":{"default":{"default":"Fliege mit linker Hälfte schwarz"}}},{"category":"Sm","key":"29D2","mappings":{"default":{"default":"Fliege mit rechter Hälfte schwarz"}}},{"category":"Sm","key":"29D3","mappings":{"default":{"default":"Schwarze Fliege"}}},{"category":"Sm","key":"29D4","mappings":{"default":{"default":"Zeiten mit linker Hälfte schwarz"}}},{"category":"Sm","key":"29D5","mappings":{"default":{"default":"Mal mit rechter Hälfte Schwarz"}}},{"category":"Sm","key":"29D6","mappings":{"default":{"default":"Weiße Sanduhr"}}},{"category":"Sm","key":"29D7","mappings":{"default":{"default":"Schwarze Sanduhr"}}},{"category":"Sm","key":"29DC","mappings":{"default":{"default":"Unvollständige Unendlichkeit"}}},{"category":"Sm","key":"29DD","mappings":{"default":{"default":"Krawatte über Unendlichkeit"}}},{"category":"Sm","key":"29DE","mappings":{"default":{"default":"Unendlichkeit mit vertikaler Leiste negiert"}}},{"category":"Sm","key":"29DF","mappings":{"default":{"default":"Doppelter Multimap"}}},{"category":"Sm","key":"29E0","mappings":{"default":{"default":"Quadrat mit konturierter Kontur"}}},{"category":"Sm","key":"29E1","mappings":{"default":{"default":"Erhöht als"}}},{"category":"Sm","key":"29E2","mappings":{"default":{"default":"Produkt mischen"}}},{"category":"Sm","key":"29E3","mappings":{"default":{"default":"Gleichheitszeichen und geneigte Parallele"}}},{"category":"Sm","key":"29E4","mappings":{"default":{"default":"Gleichheitszeichen und schräge Parallele zu Tilde oben"}}},{"category":"Sm","key":"29E5","mappings":{"default":{"default":"Identisch und schräg parallel"}}},{"category":"Sm","key":"29E6","mappings":{"default":{"default":"Gleich Stark"}}},{"category":"Sm","key":"29E7","mappings":{"default":{"default":"Thermodynamisch"}}},{"category":"Sm","key":"29E8","mappings":{"default":{"default":"Abwärtszeigendes Dreieck mit linker Hälfte schwarz"}}},{"category":"Sm","key":"29E9","mappings":{"default":{"default":"Abwärtsdreieck mit rechter Hälfte schwarz"}}},{"category":"Sm","key":"29EB","mappings":{"default":{"default":"Schwarze Raute"}}},{"category":"Sm","key":"29EE","mappings":{"default":{"default":"Fehlergesperrtes weißes Quadrat"}}},{"category":"Sm","key":"29EF","mappings":{"default":{"default":"Fehlerfreies schwarzes Quadrat"}}},{"category":"Sm","key":"29F0","mappings":{"default":{"default":"Fehlergesperrter weißer Diamant"}}},{"category":"Sm","key":"29F1","mappings":{"default":{"default":"Error-Barred Black Diamond"}}},{"category":"Sm","key":"29F2","mappings":{"default":{"default":"Fehlergesperrter weißer Kreis"}}},{"category":"Sm","key":"29F3","mappings":{"default":{"default":"Fehlergesperrter schwarzer Kreis"}}},{"key":"29F4","mappings":{"default":{"default":"rule delayed"}},"category":"Sm"},{"category":"Sm","key":"29F5","mappings":{"default":{"default":"Umgekehrter Schrägstrich Operator"}}},{"category":"Sm","key":"29F6","mappings":{"default":{"default":"Schrägstrich mit Overbar"}}},{"category":"Sm","key":"29F7","mappings":{"default":{"default":"Umgekehrter Schrägstrich mit horizontalem Hub"}}},{"category":"Sm","key":"29F8","mappings":{"default":{"default":"Großer Schrägstrich"}}},{"category":"Sm","key":"29F9","mappings":{"default":{"default":"Großer umgekehrter Schrägstrich"}}},{"category":"Sm","key":"29FA","mappings":{"default":{"default":"Doppel plus"}}},{"category":"Sm","key":"29FB","mappings":{"default":{"default":"Triple Plus"}}},{"category":"Sm","key":"29FE","mappings":{"default":{"default":"Winzig"}}},{"category":"Sm","key":"29FF","mappings":{"default":{"default":"Miny"}}},{"category":"Sm","key":"2A00","mappings":{"default":{"default":"N-Ary Circled-Punkt-Operator"}}},{"category":"Sm","key":"2A01","mappings":{"default":{"default":"N-Ary Circled Plus Operator"}}},{"category":"Sm","key":"2A02","mappings":{"default":{"default":"N-Ary Circled-Times-Operator"}}},{"category":"Sm","key":"2A03","mappings":{"default":{"default":"N-Ary Union-Operator mit Punkt"}}},{"category":"Sm","key":"2A04","mappings":{"default":{"default":"N-Ary Union-Operator mit Plus"}}},{"category":"Sm","key":"2A05","mappings":{"default":{"default":"N-Ary Square-Kreuzungsoperator"}}},{"category":"Sm","key":"2A06","mappings":{"default":{"default":"N-Ary Square Union-Betreiber"}}},{"category":"Sm","key":"2A07","mappings":{"default":{"default":"Zwei logische und Operator"}}},{"category":"Sm","key":"2A08","mappings":{"default":{"default":"Zwei logisch oder Operator"}}},{"category":"Sm","key":"2A09","mappings":{"default":{"default":"N-Ary Times-Operator"}}},{"category":"Sm","key":"2A0A","mappings":{"default":{"default":"Modulo Zwei Summe"}}},{"category":"Sm","key":"2A0B","mappings":{"default":{"default":"Summation mit Integral"}}},{"category":"Sm","key":"2A0C","mappings":{"default":{"default":"Vierfach-Integral-Operator"}}},{"category":"Sm","key":"2A0D","mappings":{"default":{"default":"Finite Part Integral"}}},{"category":"Sm","key":"2A0E","mappings":{"default":{"default":"Integral mit Doppelhub"}}},{"category":"Sm","key":"2A0F","mappings":{"default":{"default":"Integraler Durchschnitt mit Schrägstrich"}}},{"category":"Sm","key":"2A10","mappings":{"default":{"default":"Zirkulationsfunktion"}}},{"category":"Sm","key":"2A11","mappings":{"default":{"default":"Integration gegen den Uhrzeigersinn"}}},{"category":"Sm","key":"2A12","mappings":{"default":{"default":"Linienintegration mit rechteckigem Pfad um die Pole"}}},{"category":"Sm","key":"2A13","mappings":{"default":{"default":"Linienintegration mit halbkreisförmigem Pfad um den Pol"}}},{"category":"Sm","key":"2A14","mappings":{"default":{"default":"Leitungsintegration ohne Pole"}}},{"category":"Sm","key":"2A15","mappings":{"default":{"default":"Integral um einen Punktoperator"}}},{"category":"Sm","key":"2A16","mappings":{"default":{"default":"Quaternion Integral Operator"}}},{"category":"Sm","key":"2A18","mappings":{"default":{"default":"Integriert mit Times Sign"}}},{"category":"Sm","key":"2A19","mappings":{"default":{"default":"Integral mit der Kreuzung"}}},{"category":"Sm","key":"2A1A","mappings":{"default":{"default":"Integral mit Union"}}},{"category":"Sm","key":"2A1B","mappings":{"default":{"default":"Integral mit Overbar"}}},{"category":"Sm","key":"2A1C","mappings":{"default":{"default":"Integral mit Underbar"}}},{"category":"Sm","key":"2A1D","mappings":{"default":{"default":"Beitreten"}}},{"category":"Sm","key":"2A1E","mappings":{"default":{"default":"Großes linkes Dreieckbediener"}}},{"category":"Sm","key":"2A1F","mappings":{"default":{"default":"Z-Notationsschema-Zusammensetzung"}}},{"category":"Sm","key":"2A20","mappings":{"default":{"default":"Z-Notationsschema-Piping"}}},{"category":"Sm","key":"2A21","mappings":{"default":{"default":"Z-Notationsschema-Projektion"}}},{"category":"Sm","key":"2A22","mappings":{"default":{"default":"Pluszeichen mit kleinem Kreis oben"}}},{"category":"Sm","key":"2A23","mappings":{"default":{"default":"Pluszeichen mit Zirkumflex-Akzent oben"}}},{"category":"Sm","key":"2A24","mappings":{"default":{"default":"Pluszeichen mit Tilde oben"}}},{"category":"Sm","key":"2A25","mappings":{"default":{"default":"Pluszeichen mit Punkt unten"}}},{"category":"Sm","key":"2A26","mappings":{"default":{"default":"Pluszeichen mit Tilde unter"}}},{"category":"Sm","key":"2A27","mappings":{"default":{"default":"Pluszeichen mit Index Zwei"}}},{"category":"Sm","key":"2A28","mappings":{"default":{"default":"Pluszeichen mit schwarzem Dreieck"}}},{"category":"Sm","key":"2A29","mappings":{"default":{"default":"Minuszeichen mit Komma oben"}}},{"category":"Sm","key":"2A2A","mappings":{"default":{"default":"Minuszeichen mit Punkt unten"}}},{"category":"Sm","key":"2A2B","mappings":{"default":{"default":"Minuszeichen mit fallenden Punkten"}}},{"category":"Sm","key":"2A2C","mappings":{"default":{"default":"Minuszeichen mit steigenden Punkten"}}},{"category":"Sm","key":"2A2D","mappings":{"default":{"default":"Pluszeichen Im linken Halbkreis"}}},{"category":"Sm","key":"2A2E","mappings":{"default":{"default":"Pluszeichen Im rechten Halbkreis"}}},{"category":"Sm","key":"2A2F","mappings":{"default":{"default":"Vektor- oder Kreuzprodukt"}}},{"category":"Sm","key":"2A30","mappings":{"default":{"default":"Multiplikationszeichen mit Punkt oben"}}},{"category":"Sm","key":"2A31","mappings":{"default":{"default":"Multiplikationszeichen mit Unterleiste"}}},{"category":"Sm","key":"2A32","mappings":{"default":{"default":"Semidirektprodukt mit geschlossenem Boden"}}},{"key":"2A33","mappings":{"default":{"default":"smash product"}},"category":"Sm"},{"category":"Sm","key":"2A34","mappings":{"default":{"default":"Multiplikationszeichen im linken Halbkreis"}}},{"category":"Sm","key":"2A35","mappings":{"default":{"default":"Multiplikationszeichen im rechten Halbkreis"}}},{"category":"Sm","key":"2A36","mappings":{"default":{"default":"eingekreistes Multiplikationszeichen mit Circumflex-Akzent"}}},{"category":"Sm","key":"2A37","mappings":{"default":{"default":"Multiplikationszeichen im doppelten Kreis"}}},{"key":"2A38","mappings":{"default":{"default":"circled division sign"}},"category":"Sm"},{"category":"Sm","key":"2A39","mappings":{"default":{"default":"Pluszeichen im Dreieck"}}},{"category":"Sm","key":"2A3A","mappings":{"default":{"default":"Minuszeichen im Dreieck"}}},{"category":"Sm","key":"2A3B","mappings":{"default":{"default":"Multiplikationszeichen im Dreieck"}}},{"category":"Sm","key":"2A3C","mappings":{"default":{"default":"Innenprodukt"}}},{"category":"Sm","key":"2A3D","mappings":{"default":{"default":"Produkt für den rechten Innenraum"}}},{"category":"Sm","key":"2A3E","mappings":{"default":{"default":"Z-Notation relationaler Aufbau"}}},{"category":"Sm","key":"2A3F","mappings":{"default":{"default":"Verschmelzung oder Koprodukt"}}},{"category":"Sm","key":"2A40","mappings":{"default":{"default":"Schnittpunkt mit Punkt"}}},{"category":"Sm","key":"2A41","mappings":{"default":{"default":"Union mit Minuszeichen"}}},{"category":"Sm","key":"2A42","mappings":{"default":{"default":"Union mit Overbar"}}},{"category":"Sm","key":"2A43","mappings":{"default":{"default":"Kreuzung mit Overbar"}}},{"category":"Sm","key":"2A44","mappings":{"default":{"default":"Überschneidung mit logischem und"}}},{"category":"Sm","key":"2A45","mappings":{"default":{"default":"Vereinigung mit logischem Or"}}},{"category":"Sm","key":"2A46","mappings":{"default":{"default":"Vereinigung über dem Schnittpunkt"}}},{"category":"Sm","key":"2A47","mappings":{"default":{"default":"Schnittpunkt über Union"}}},{"category":"Sm","key":"2A48","mappings":{"default":{"default":"Vereinigung über Stab über Kreuzung"}}},{"category":"Sm","key":"2A49","mappings":{"default":{"default":"Schnittpunkt oberhalb der Stange oberhalb der Union"}}},{"category":"Sm","key":"2A4A","mappings":{"default":{"default":"Union daneben und mit Union verbunden"}}},{"category":"Sm","key":"2A4B","mappings":{"default":{"default":"Kreuzung neben und mit Kreuzung verbunden"}}},{"category":"Sm","key":"2A4C","mappings":{"default":{"default":"Geschlossene Vereinigung mit Serifen"}}},{"category":"Sm","key":"2A4D","mappings":{"default":{"default":"Geschlossener Schnittpunkt mit Serifen"}}},{"category":"Sm","key":"2A4E","mappings":{"default":{"default":"Doppelter Quadratschnitt"}}},{"category":"Sm","key":"2A4F","mappings":{"default":{"default":"Double Square Union"}}},{"category":"Sm","key":"2A50","mappings":{"default":{"default":"Closed Union mit Serifen und Smash-Produkten"}}},{"category":"Sm","key":"2A51","mappings":{"default":{"default":"Logisch und mit Punkt oben"}}},{"category":"Sm","key":"2A52","mappings":{"default":{"default":"Logisch oder mit Punkt oben"}}},{"key":"2A53","mappings":{"default":{"default":"double logical and"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"double logical or"}},"category":"Sm"},{"category":"Sm","key":"2A55","mappings":{"default":{"default":"Zwei durchschneiden logisch und"}}},{"category":"Sm","key":"2A56","mappings":{"default":{"default":"Zwei sich überschneidende logische Oder"}}},{"category":"Sm","key":"2A57","mappings":{"default":{"default":"Abfallend groß oder"}}},{"category":"Sm","key":"2A58","mappings":{"default":{"default":"Abfallend groß und"}}},{"category":"Sm","key":"2A59","mappings":{"default":{"default":"Logisch oder Überlappend Logisch Und"}}},{"category":"Sm","key":"2A5A","mappings":{"default":{"default":"Logisch und mit Middle Stem"}}},{"category":"Sm","key":"2A5B","mappings":{"default":{"default":"Logisch oder mit Middle Stem"}}},{"category":"Sm","key":"2A5C","mappings":{"default":{"default":"Logisch und mit Horizontalstrich"}}},{"category":"Sm","key":"2A5D","mappings":{"default":{"default":"Logisch oder mit Horizontalstrich"}}},{"category":"Sm","key":"2A5E","mappings":{"default":{"default":"Logisch und mit Double Overbar"}}},{"category":"Sm","key":"2A5F","mappings":{"default":{"default":"Logisch und mit Underbar"}}},{"category":"Sm","key":"2A60","mappings":{"default":{"default":"Logisch und mit Double Underbar"}}},{"category":"Sm","key":"2A61","mappings":{"default":{"default":"kleines Vee mit Underbar"}}},{"category":"Sm","key":"2A62","mappings":{"default":{"default":"Logisch oder mit Double Overbar"}}},{"category":"Sm","key":"2A63","mappings":{"default":{"default":"Logisch oder mit doppelter Unterleiste"}}},{"category":"Sm","key":"2A64","mappings":{"default":{"default":"Z-Notation Domain Antirestriction"}}},{"category":"Sm","key":"2A65","mappings":{"default":{"default":"Z Notationsbereich Antirestriction"}}},{"category":"Sm","key":"2A66","mappings":{"default":{"default":"Gleichheitszeichen mit Punkt unten"}}},{"category":"Sm","key":"2A67","mappings":{"default":{"default":"Identisch mit dem obigen Punkt"}}},{"category":"Sm","key":"2A68","mappings":{"default":{"default":"Dreifacher Horizontalbalken mit doppeltem vertikalem Hub"}}},{"category":"Sm","key":"2A69","mappings":{"default":{"default":"Dreifacher Horizontalbalken mit dreifachem vertikalem Hub"}}},{"category":"Sm","key":"2A6A","mappings":{"default":{"default":"Tilde-Operator mit Punkt oben"}}},{"category":"Sm","key":"2A6B","mappings":{"default":{"default":"Tilde-Operator mit steigenden Punkten"}}},{"category":"Sm","key":"2A6C","mappings":{"default":{"default":"Ähnlich Minus Ähnlich"}}},{"category":"Sm","key":"2A6D","mappings":{"default":{"default":"Kongruent mit Punkt oben"}}},{"category":"Sm","key":"2A6E","mappings":{"default":{"default":"Entspricht Asterisk"}}},{"category":"Sm","key":"2A6F","mappings":{"default":{"default":"Fast gleichwertig mit dem Circumflex Accent"}}},{"category":"Sm","key":"2A70","mappings":{"default":{"default":"Ungefähr gleich oder gleich zu"}}},{"category":"Sm","key":"2A71","mappings":{"default":{"default":"Gleichheitszeichen über Pluszeichen"}}},{"category":"Sm","key":"2A72","mappings":{"default":{"default":"Pluszeichen über Gleichheitszeichen"}}},{"category":"Sm","key":"2A73","mappings":{"default":{"default":"Gleichheitszeichen über Tilde-Operator"}}},{"category":"Sm","key":"2A74","mappings":{"default":{"default":"Doppelpunkt gleich"}}},{"key":"2A75","mappings":{"default":{"default":"double equal"}},"category":"Sm"},{"category":"Sm","key":"2A76","mappings":{"default":{"default":"Drei aufeinander folgende Gleichheitszeichen"}}},{"category":"Sm","key":"2A77","mappings":{"default":{"default":"Gleichheitszeichen mit zwei Punkten oben und zwei Punkten unten"}}},{"category":"Sm","key":"2A78","mappings":{"default":{"default":"Gleichwertig mit vier Punkten oben"}}},{"category":"Sm","key":"2A79","mappings":{"default":{"default":"Weniger als mit Circle Inside"}}},{"category":"Sm","key":"2A7A","mappings":{"default":{"default":"Größer als mit Kreis nach innen"}}},{"category":"Sm","key":"2A7B","mappings":{"default":{"default":"Weniger als mit Fragezeichen oben"}}},{"category":"Sm","key":"2A7C","mappings":{"default":{"default":"Größer als mit Fragezeichen oben"}}},{"category":"Sm","key":"2A7D","mappings":{"default":{"default":"Weniger als oder schräg gleich"}}},{"category":"Sm","key":"2A7E","mappings":{"default":{"default":"Größer als oder schräg gleich"}}},{"category":"Sm","key":"2A7F","mappings":{"default":{"default":"Weniger als oder schräg gleich mit Punkt nach innen"}}},{"category":"Sm","key":"2A80","mappings":{"default":{"default":"Größer als oder schräg gleich mit Punkt nach innen"}}},{"category":"Sm","key":"2A81","mappings":{"default":{"default":"Weniger als oder schräg gleich mit Punkt oben"}}},{"category":"Sm","key":"2A82","mappings":{"default":{"default":"Größer als oder schräg gleich mit Punkt oben"}}},{"category":"Sm","key":"2A83","mappings":{"default":{"default":"Weniger als oder schräg gleich mit Punkt oben rechts"}}},{"category":"Sm","key":"2A84","mappings":{"default":{"default":"Größer als oder schräg gleich mit Punkt oben links"}}},{"category":"Sm","key":"2A85","mappings":{"default":{"default":"Weniger als oder ungefähr"}}},{"category":"Sm","key":"2A86","mappings":{"default":{"default":"Größer als oder ungefähr"}}},{"category":"Sm","key":"2A87","mappings":{"default":{"default":"Kleiner als aber nicht gleich"}}},{"category":"Sm","key":"2A88","mappings":{"default":{"default":"Größer als aber nicht gleich"}}},{"key":"2A89","mappings":{"default":{"default":"Kleiner als aber nicht ungefähr gleich"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"Größer als aber nicht ungefähr gleich"}},"category":"Sm"},{"category":"Sm","key":"2A8B","mappings":{"default":{"default":"Weniger als aber größer als oben"}}},{"category":"Sm","key":"2A8C","mappings":{"default":{"default":"Größer als aber weniger als unten und größer als oben"}}},{"category":"Sm","key":"2A8D","mappings":{"default":{"default":"Weniger als oben ähnlich oder gleich"}}},{"category":"Sm","key":"2A8E","mappings":{"default":{"default":"Größer als oben ähnlich oder gleich"}}},{"category":"Sm","key":"2A8F","mappings":{"default":{"default":"Weniger als oben ähnlich oben größer als"}}},{"category":"Sm","key":"2A90","mappings":{"default":{"default":"Größer als oben Ähnlich oben"}}},{"key":"2A91","mappings":{"default":{"default":"less than greater than or equal to"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"greater than less than or equal to"}},"category":"Sm"},{"category":"Sm","key":"2A93","mappings":{"default":{"default":"Weniger als oben schräg gleich oben Größer als oben schräg gleich"}}},{"category":"Sm","key":"2A94","mappings":{"default":{"default":"Größer als oben schräg gleich oben kleiner als oben schräg gleich groß"}}},{"category":"Sm","key":"2A95","mappings":{"default":{"default":"Schräg gleich oder kleiner als"}}},{"category":"Sm","key":"2A96","mappings":{"default":{"default":"Schräg gleich oder größer als"}}},{"category":"Sm","key":"2A97","mappings":{"default":{"default":"Schräg gleich oder kleiner als mit innenliegendem Punkt"}}},{"category":"Sm","key":"2A98","mappings":{"default":{"default":"Schräg gleich oder größer als mit Punkt nach innen"}}},{"key":"2A99","mappings":{"default":{"default":"Gleich oder kleiner als"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"Gleich oder größer als"}},"category":"Sm"},{"category":"Sm","key":"2A9B","mappings":{"default":{"default":"Doppelte Linie schräg gleich oder kleiner als"}}},{"category":"Sm","key":"2A9C","mappings":{"default":{"default":"Doppelte Linie schräg gleich oder größer als"}}},{"key":"2A9D","mappings":{"default":{"default":"Äquivalent oder kleiner als"}},"category":"Sm"},{"category":"Sm","key":"2A9E","mappings":{"default":{"default":"Ähnlich oder größer als"}}},{"category":"Sm","key":"2A9F","mappings":{"default":{"default":"Ähnlich oben Weniger als Gleiches Gleichheitszeichen"}}},{"category":"Sm","key":"2AA0","mappings":{"default":{"default":"Ähnlich oben größer als oben Gleichheitszeichen"}}},{"key":"2AA1","mappings":{"default":{"default":"Verschachteltes kleiner als"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"Verschachteltes größer als"}},"category":"Sm"},{"category":"Sm","key":"2AA3","mappings":{"default":{"default":"Doppelt verschachtelt, weniger als mit Unterleiste"}}},{"key":"2AA4","mappings":{"default":{"default":"less than greater than overlay"}},"category":"Sm"},{"category":"Sm","key":"2AA5","mappings":{"default":{"default":"Größer als weniger als"}}},{"category":"Sm","key":"2AA6","mappings":{"default":{"default":"Weniger als durch Kurve geschlossen"}}},{"category":"Sm","key":"2AA7","mappings":{"default":{"default":"Größer als durch Kurve geschlossen"}}},{"category":"Sm","key":"2AA8","mappings":{"default":{"default":"Weniger als dann geschlossen durch Kurve oberhalb der gleichen Neigung"}}},{"category":"Sm","key":"2AA9","mappings":{"default":{"default":"Größer als geschlossen durch Kurve oberhalb der gleichen Neigung"}}},{"category":"Sm","key":"2AAA","mappings":{"default":{"default":"kleiner als"}}},{"category":"Sm","key":"2AAB","mappings":{"default":{"default":"Größer als"}}},{"category":"Sm","key":"2AAC","mappings":{"default":{"default":"kleiner als oder gleich"}}},{"category":"Sm","key":"2AAD","mappings":{"default":{"default":"Größer als oder gleich"}}},{"key":"2AAE","mappings":{"default":{"default":"difference between (variant"}},"category":"Sm"},{"category":"Sm","key":"2AAF","mappings":{"default":{"default":"Stellt über dem einzeiligen Gleichheitszeichen ein"}}},{"category":"Sm","key":"2AB0","mappings":{"default":{"default":"Erfolg über dem einzeiligen Gleichheitszeichen"}}},{"category":"Sm","key":"2AB1","mappings":{"default":{"default":"Vorangehende Single-Line ist nicht gleich"}}},{"category":"Sm","key":"2AB2","mappings":{"default":{"default":"Erfolg über Single-Line nicht gleich"}}},{"category":"Sm","key":"2AB3","mappings":{"default":{"default":"Vorangegangenes Gleichheitszeichen"}}},{"category":"Sm","key":"2AB4","mappings":{"default":{"default":"Erfolgreich über Gleichheitszeichen"}}},{"key":"2AB5","mappings":{"default":{"default":"precedes but not equal to"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"succeeds but not equal to"}},"category":"Sm"},{"category":"Sm","key":"2AB7","mappings":{"default":{"default":"Vorangegangenes fast gleich zu"}}},{"category":"Sm","key":"2AB8","mappings":{"default":{"default":"Erreicht über fast gleich viel"}}},{"category":"Sm","key":"2AB9","mappings":{"default":{"default":"Vorangegangene nicht annähernd gleich"}}},{"category":"Sm","key":"2ABA","mappings":{"default":{"default":"Erreicht oben nicht annähernd gleich"}}},{"category":"Sm","key":"2ABB","mappings":{"default":{"default":"Doppelter Vorgänger"}}},{"category":"Sm","key":"2ABC","mappings":{"default":{"default":"Doppelter Erfolg"}}},{"category":"Sm","key":"2ABD","mappings":{"default":{"default":"Teilmenge mit Punkt"}}},{"category":"Sm","key":"2ABE","mappings":{"default":{"default":"Superset mit Punkt"}}},{"category":"Sm","key":"2ABF","mappings":{"default":{"default":"Teilmenge mit Pluszeichen unten"}}},{"category":"Sm","key":"2AC0","mappings":{"default":{"default":"Superset mit Pluszeichen unten"}}},{"category":"Sm","key":"2AC1","mappings":{"default":{"default":"Teilmenge mit Multiplikationszeichen unten"}}},{"category":"Sm","key":"2AC2","mappings":{"default":{"default":"Superset mit Multiplikationszeichen unten"}}},{"category":"Sm","key":"2AC3","mappings":{"default":{"default":"Teilmenge oder gleich mit dem obigen Punkt"}}},{"category":"Sm","key":"2AC4","mappings":{"default":{"default":"Superset von oder gleich mit Punkt oben"}}},{"category":"Sm","key":"2AC5","mappings":{"default":{"default":"Teilmenge des obigen Gleichheitszeichens"}}},{"category":"Sm","key":"2AC6","mappings":{"default":{"default":"Superset des obigen Gleichheitszeichens"}}},{"key":"2AC7","mappings":{"default":{"default":"approximate subset of"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"approximate superset of"}},"category":"Sm"},{"category":"Sm","key":"2AC9","mappings":{"default":{"default":"Teilmenge von oben fast gleich"}}},{"category":"Sm","key":"2ACA","mappings":{"default":{"default":"Superset von oben fast gleichwertig"}}},{"category":"Sm","key":"2ACB","mappings":{"default":{"default":"Teilmenge von oben nicht gleich"}}},{"category":"Sm","key":"2ACC","mappings":{"default":{"default":"Superset von oben nicht gleich"}}},{"category":"Sm","key":"2ACD","mappings":{"default":{"default":"Platz links Feldbetreiber geöffnet"}}},{"category":"Sm","key":"2ACE","mappings":{"default":{"default":"Rechteckige Box mit offener Box"}}},{"category":"Sm","key":"2ACF","mappings":{"default":{"default":"Geschlossener Teilsatz"}}},{"category":"Sm","key":"2AD0","mappings":{"default":{"default":"Superset geschlossen"}}},{"category":"Sm","key":"2AD1","mappings":{"default":{"default":"Geschlossene Untermenge oder gleich"}}},{"category":"Sm","key":"2AD2","mappings":{"default":{"default":"Superset geschlossen oder gleich"}}},{"key":"2AD3","mappings":{"default":{"default":"subset over superset"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"superset over subset"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"subset over subset"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"superset over superset"}},"category":"Sm"},{"category":"Sm","key":"2AD7","mappings":{"default":{"default":"Superset neben dem Subset"}}},{"category":"Sm","key":"2AD8","mappings":{"default":{"default":"Superset Neben und Joined von Dash mit Subset"}}},{"category":"Sm","key":"2AD9","mappings":{"default":{"default":"Element der Öffnung nach unten"}}},{"category":"Sm","key":"2ADA","mappings":{"default":{"default":"Heugabel mit T-Stück"}}},{"category":"Sm","key":"2ADB","mappings":{"default":{"default":"Transversalschnitt"}}},{"category":"Sm","key":"2ADC","mappings":{"default":{"default":"Gabelung"}}},{"category":"Sm","key":"2ADD","mappings":{"default":{"default":"Nicht Gabeln"}}},{"category":"Sm","key":"2ADE","mappings":{"default":{"default":"Kurzer Linker Tack"}}},{"category":"Sm","key":"2ADF","mappings":{"default":{"default":"Kurzer Down Tack"}}},{"category":"Sm","key":"2AE0","mappings":{"default":{"default":"Short Up Tack"}}},{"category":"Sm","key":"2AE1","mappings":{"default":{"default":"Rechtwinklig zu S"}}},{"category":"Sm","key":"2AE2","mappings":{"default":{"default":"Vertikales Dreifach-Drehkreuz"}}},{"category":"Sm","key":"2AE3","mappings":{"default":{"default":"Doppelter vertikaler Balken linkes Drehkreuz"}}},{"key":"2AE4","mappings":{"default":{"default":"double left turnstile vertical bar"}},"category":"Sm"},{"category":"Sm","key":"2AE5","mappings":{"default":{"default":"Doppelter vertikaler Balken Doppelter linker Drehkreuz"}}},{"category":"Sm","key":"2AE6","mappings":{"default":{"default":"Long Dash von Left Member von Double Vertical"}}},{"category":"Sm","key":"2AE7","mappings":{"default":{"default":"Short Down Tack mit Overbar"}}},{"key":"2AE8","mappings":{"default":{"default":"perpendicular over bar"}},"category":"Sm"},{"category":"Sm","key":"2AE9","mappings":{"default":{"default":"Short Up Tack Über Short Down Tack"}}},{"category":"Sm","key":"2AEA","mappings":{"default":{"default":"Double Down Tack"}}},{"category":"Sm","key":"2AEB","mappings":{"default":{"default":"Verdoppeln Sie Tack"}}},{"category":"Sm","key":"2AEC","mappings":{"default":{"default":"Doppelstrich nicht unterschreiben"}}},{"category":"Sm","key":"2AED","mappings":{"default":{"default":"Umgekehrter Doppelstrich nicht unterschrieben"}}},{"category":"Sm","key":"2AEE","mappings":{"default":{"default":"Teilt sich nicht mit umgekehrten Negationsschrägstrich"}}},{"category":"Sm","key":"2AEF","mappings":{"default":{"default":"Vertikale Linie mit Kreis oben"}}},{"category":"Sm","key":"2AF0","mappings":{"default":{"default":"Vertikale Linie mit Kreis unten"}}},{"category":"Sm","key":"2AF1","mappings":{"default":{"default":"Down Tack mit Kreis unten"}}},{"category":"Sm","key":"2AF2","mappings":{"default":{"default":"Parallel zum horizontalen Anschlag"}}},{"category":"Sm","key":"2AF3","mappings":{"default":{"default":"Parallel zu Tilde Operator"}}},{"category":"Sm","key":"2AF4","mappings":{"default":{"default":"Dreifache vertikale Balken-Binärbeziehung"}}},{"category":"Sm","key":"2AF5","mappings":{"default":{"default":"Dreifacher vertikaler Strich mit horizontalem Hub"}}},{"category":"Sm","key":"2AF6","mappings":{"default":{"default":"Triple Colon Operator"}}},{"category":"Sm","key":"2AF7","mappings":{"default":{"default":"Dreifach verschachtelt weniger als"}}},{"category":"Sm","key":"2AF8","mappings":{"default":{"default":"Dreifach verschachteltes Größeres als"}}},{"category":"Sm","key":"2AF9","mappings":{"default":{"default":"Doppellinie schräg, weniger als oder gleich"}}},{"category":"Sm","key":"2AFA","mappings":{"default":{"default":"Doppelte Linie schräg größer als oder gleich"}}},{"category":"Sm","key":"2AFB","mappings":{"default":{"default":"Dreifache Schrägstrich-Binärbeziehung"}}},{"category":"Sm","key":"2AFC","mappings":{"default":{"default":"Großer dreifacher vertikaler Barbediener"}}},{"category":"Sm","key":"2AFD","mappings":{"default":{"default":"Doppelter Schrägstrich-Operator"}}},{"category":"Sm","key":"2AFE","mappings":{"default":{"default":"Weiße vertikale Leiste"}}},{"category":"Sm","key":"2AFF","mappings":{"default":{"default":"N-Ary White Vertical Bar"}}},{"category":"Pd","key":"301C","mappings":{"default":{"default":"Wave Dash"}}},{"category":"Po","key":"FE10","mappings":{"default":{"default":"Präsentationsformular für vertikales Komma"}}},{"category":"Po","key":"FE13","mappings":{"default":{"default":"Präsentationsformular für vertikalen Doppelpunkt"}}},{"category":"Po","key":"FE14","mappings":{"default":{"default":"Präsentationsformular für vertikales Semikolon"}}},{"category":"Po","key":"FE15","mappings":{"default":{"default":"Präsentationsformular für vertikales Ausrufezeichen"}}},{"category":"Po","key":"FE16","mappings":{"default":{"default":"Präsentationsformular für vertikales Fragezeichen"}}},{"category":"Po","key":"FE19","mappings":{"default":{"default":"Präsentationsformular für vertikale horizontale Ellipsen"}}},{"category":"Po","key":"FE30","mappings":{"default":{"default":"Präsentationsformular für vertikalen Zwei-Punkt-Leader"}}},{"category":"Pd","key":"FE31","mappings":{"default":{"default":"Präsentationsformular für Vertical Em Dash"}}},{"category":"Pd","key":"FE32","mappings":{"default":{"default":"Präsentationsformular für Vertical En Dash"}}},{"category":"Pc","key":"FE33","mappings":{"default":{"default":"Präsentationsformular für Vertical Low Line"}}},{"category":"Pc","key":"FE34","mappings":{"default":{"default":"Präsentationsformular für Vertical Wavy Low Line"}}},{"category":"Po","key":"FE45","mappings":{"default":{"default":"Sesampunkt"}}},{"category":"Po","key":"FE46","mappings":{"default":{"default":"Weißer Sesam Punkt"}}},{"category":"Po","key":"FE49","mappings":{"default":{"default":"Gestrichelte Überlänge"}}},{"category":"Po","key":"FE4A","mappings":{"default":{"default":"Centreline Overline"}}},{"category":"Po","key":"FE4B","mappings":{"default":{"default":"Wellenförmige Überlänge"}}},{"category":"Po","key":"FE4C","mappings":{"default":{"default":"Doppelte Wellenlinie"}}},{"category":"Pc","key":"FE4D","mappings":{"default":{"default":"Gestrichelte Low Line"}}},{"category":"Pc","key":"FE4E","mappings":{"default":{"default":"Mittellinie Low Line"}}},{"category":"Pc","key":"FE4F","mappings":{"default":{"default":"Wellenförmige Low Line"}}},{"category":"Po","key":"FE50","mappings":{"default":{"default":"kleines Komma"}}},{"category":"Po","key":"FE52","mappings":{"default":{"default":"kleiner Punkt"}}},{"category":"Po","key":"FE54","mappings":{"default":{"default":"kleines Semikolon"}}},{"category":"Po","key":"FE55","mappings":{"default":{"default":"kleiner Doppelpunkt"}}},{"category":"Po","key":"FE56","mappings":{"default":{"default":"kleines Fragezeichen"}}},{"category":"Po","key":"FE57","mappings":{"default":{"default":"kleines Ausrufezeichen"}}},{"category":"Pd","key":"FE58","mappings":{"default":{"default":"kleiner Em Dash"}}},{"category":"Po","key":"FE5F","mappings":{"default":{"default":"kleines Nummernzeichen"}}},{"category":"Po","key":"FE60","mappings":{"default":{"default":"kleines kaufmännisches"}}},{"category":"Po","key":"FE61","mappings":{"default":{"default":"kleines Sternchen"}}},{"category":"Sm","key":"FE62","mappings":{"default":{"default":"kleines Pluszeichen"}}},{"category":"Pd","key":"FE63","mappings":{"default":{"default":"kleiner Bindestrich-Minus"}}},{"category":"Sm","key":"FE64","mappings":{"default":{"default":"kleines weniger als Zeichen"}}},{"category":"Sm","key":"FE65","mappings":{"default":{"default":"kleines Größeres als Zeichen"}}},{"category":"Sm","key":"FE66","mappings":{"default":{"default":"kleines Gleichheitszeichen"}}},{"category":"Po","key":"FE68","mappings":{"default":{"default":"kleiner umgekehrter Schrägstrich"}}},{"category":"Sc","key":"FE69","mappings":{"default":{"default":"kleines Dollarzeichen"}}},{"category":"Po","key":"FE6A","mappings":{"default":{"default":"kleines Prozentzeichen"}}},{"category":"Po","key":"FE6B","mappings":{"default":{"default":"kleine kommerzielle bei"}}},{"category":"Po","key":"FF01","mappings":{"default":{"default":"vollbreites Ausrufezeichen"}}},{"category":"Po","key":"FF02","mappings":{"default":{"default":"vollbreites Anführungszeichen"}}},{"category":"Po","key":"FF03","mappings":{"default":{"default":"vollbreites Nummernzeichen"}}},{"category":"Sc","key":"FF04","mappings":{"default":{"default":"vollbreites Dollarzeichen"}}},{"category":"Po","key":"FF05","mappings":{"default":{"default":"vollbreites Prozentzeichen"}}},{"category":"Po","key":"FF06","mappings":{"default":{"default":"vollbreites kaufmännisches und"}}},{"category":"Po","key":"FF07","mappings":{"default":{"default":"vollbreites Apostroph"}}},{"category":"Po","key":"FF0A","mappings":{"default":{"default":"vollbreiter Stern"}}},{"category":"Sm","key":"FF0B","mappings":{"default":{"default":"vollbreites Plus"}}},{"category":"Po","key":"FF0C","mappings":{"default":{"default":"vollbreites Komma"}}},{"category":"Pd","key":"FF0D","mappings":{"default":{"default":"vollbreites Minus"}}},{"category":"Po","key":"FF0E","mappings":{"default":{"default":"vollbreiter Punkt"}}},{"category":"Po","key":"FF0F","mappings":{"default":{"default":"Schrägstrich mit voller Breite"}}},{"category":"Po","key":"FF1A","mappings":{"default":{"default":"vollbreiter Doppelpunkt"}}},{"category":"Po","key":"FF1B","mappings":{"default":{"default":"vollbreites Semikolon"}}},{"category":"Sm","key":"FF1C","mappings":{"default":{"default":"Weniger als das gesamte Zeichen"}}},{"category":"Sm","key":"FF1D","mappings":{"default":{"default":"vollbreites Gleichspannungszeichen"}}},{"category":"Sm","key":"FF1E","mappings":{"default":{"default":"Fullwidth Mehr als Zeichen"}}},{"category":"Po","key":"FF1F","mappings":{"default":{"default":"vollbreites Fragezeichen"}}},{"category":"Po","key":"FF20","mappings":{"default":{"default":"Fullwidth Commercial at"}}},{"category":"Po","key":"FF3C","mappings":{"default":{"default":"Umgekehrter Schrägstrich mit voller Breite"}}},{"category":"Sk","key":"FF3E","mappings":{"default":{"default":"Circumflex-Akzent mit voller Breite"}}},{"category":"Pc","key":"FF3F","mappings":{"default":{"default":"vollbreites Low Line"}}},{"category":"Sk","key":"FF40","mappings":{"default":{"default":"vollbreiter Gravis Akzent"}}},{"category":"Sm","key":"FF5C","mappings":{"default":{"default":"vollbreites Vertikale Linie"}}},{"category":"Sm","key":"FF5E","mappings":{"default":{"default":"vollbreite Tilde"}}},{"category":"Sc","key":"FFE0","mappings":{"default":{"default":"vollbreites Cent-Zeichen"}}},{"category":"Sc","key":"FFE1","mappings":{"default":{"default":"vollbreites Pfundzeichen"}}},{"category":"Sm","key":"FFE2","mappings":{"default":{"default":"vollbreite nicht Symbol"}}},{"category":"Sk","key":"FFE3","mappings":{"default":{"default":"vollbreiter Überstrich","alternative":"vollbreites Makron"}}},{"category":"So","key":"FFE4","mappings":{"default":{"default":"vollbreite gestrichelte Linie"}}},{"category":"Sc","key":"FFE5","mappings":{"default":{"default":"vollbreites Yen-Zeichen"}}},{"category":"Sc","key":"FFE6","mappings":{"default":{"default":"vollbreites Won-Zeichen"}}},{"category":"So","key":"FFE8","mappings":{"default":{"default":"Halbbreite bildet leicht vertikal"}}},{"category":"So","key":"FFED","mappings":{"default":{"default":"Schwarzes Quadrat mit halber Breite"}}},{"category":"So","key":"FFEE","mappings":{"default":{"default":"Weißer Kreis mit halber Breite"}}}]
 ,
-"en/latin-mathfonts-sans-serif-bold.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital a","short":"sans serif bold cap a"},"mathspeak":{"default":"sans serif bold upper A"}},"key":"1D5D4"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital b","short":"sans serif bold cap b"},"mathspeak":{"default":"sans serif bold upper B"}},"key":"1D5D5"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital c","short":"sans serif bold cap c"},"mathspeak":{"default":"sans serif bold upper C"}},"key":"1D5D6"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital d","short":"sans serif bold cap d"},"mathspeak":{"default":"sans serif bold upper D"}},"key":"1D5D7"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital e","short":"sans serif bold cap e"},"mathspeak":{"default":"sans serif bold upper E"}},"key":"1D5D8"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital f","short":"sans serif bold cap f"},"mathspeak":{"default":"sans serif bold upper F"}},"key":"1D5D9"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital g","short":"sans serif bold cap g"},"mathspeak":{"default":"sans serif bold upper G"}},"key":"1D5DA"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital h","short":"sans serif bold cap h"},"mathspeak":{"default":"sans serif bold upper H"}},"key":"1D5DB"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital i","short":"sans serif bold cap i"},"mathspeak":{"default":"sans serif bold upper I"}},"key":"1D5DC"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital j","short":"sans serif bold cap j"},"mathspeak":{"default":"sans serif bold upper J"}},"key":"1D5DD"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital k","short":"sans serif bold cap k"},"mathspeak":{"default":"sans serif bold upper K"}},"key":"1D5DE"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital l","short":"sans serif bold cap l"},"mathspeak":{"default":"sans serif bold upper L"}},"key":"1D5DF"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital m","short":"sans serif bold cap m"},"mathspeak":{"default":"sans serif bold upper M"}},"key":"1D5E0"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital n","short":"sans serif bold cap n"},"mathspeak":{"default":"sans serif bold upper N"}},"key":"1D5E1"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital o","short":"sans serif bold cap o"},"mathspeak":{"default":"sans serif bold upper O"}},"key":"1D5E2"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital p","short":"sans serif bold cap p"},"mathspeak":{"default":"sans serif bold upper P"}},"key":"1D5E3"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital q","short":"sans serif bold cap q"},"mathspeak":{"default":"sans serif bold upper Q"}},"key":"1D5E4"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital r","short":"sans serif bold cap r"},"mathspeak":{"default":"sans serif bold upper R"}},"key":"1D5E5"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital s","short":"sans serif bold cap s"},"mathspeak":{"default":"sans serif bold upper S"}},"key":"1D5E6"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital t","short":"sans serif bold cap t"},"mathspeak":{"default":"sans serif bold upper T"}},"key":"1D5E7"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital u","short":"sans serif bold cap u"},"mathspeak":{"default":"sans serif bold upper U"}},"key":"1D5E8"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital v","short":"sans serif bold cap v"},"mathspeak":{"default":"sans serif bold upper V"}},"key":"1D5E9"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital w","short":"sans serif bold cap w"},"mathspeak":{"default":"sans serif bold upper W"}},"key":"1D5EA"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital x","short":"sans serif bold cap x"},"mathspeak":{"default":"sans serif bold upper X"}},"key":"1D5EB"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital y","short":"sans serif bold cap y"},"mathspeak":{"default":"sans serif bold upper Y"}},"key":"1D5EC"},{"category":"Lu","mappings":{"default":{"default":"sans serif bold capital z","short":"sans serif bold cap z"},"mathspeak":{"default":"sans serif bold upper Z"}},"key":"1D5ED"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small a","short":"sans serif bold a"}},"key":"1D5EE"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small b","short":"sans serif bold b"}},"key":"1D5EF"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small c","short":"sans serif bold c"}},"key":"1D5F0"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small d","short":"sans serif bold d"}},"key":"1D5F1"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small e","short":"sans serif bold e"}},"key":"1D5F2"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small f","short":"sans serif bold f"}},"key":"1D5F3"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small g","short":"sans serif bold g"}},"key":"1D5F4"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small h","short":"sans serif bold h"}},"key":"1D5F5"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small i","short":"sans serif bold i"}},"key":"1D5F6"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small j","short":"sans serif bold j"}},"key":"1D5F7"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small k","short":"sans serif bold k"}},"key":"1D5F8"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small l","short":"sans serif bold l"}},"key":"1D5F9"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small m","short":"sans serif bold m"}},"key":"1D5FA"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small n","short":"sans serif bold n"}},"key":"1D5FB"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small o","short":"sans serif bold o"}},"key":"1D5FC"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small p","short":"sans serif bold p"}},"key":"1D5FD"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small q","short":"sans serif bold q"}},"key":"1D5FE"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small r","short":"sans serif bold r"}},"key":"1D5FF"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small s","short":"sans serif bold s"}},"key":"1D600"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small t","short":"sans serif bold t"}},"key":"1D601"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small u","short":"sans serif bold u"}},"key":"1D602"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small v","short":"sans serif bold v"}},"key":"1D603"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small w","short":"sans serif bold w"}},"key":"1D604"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small x","short":"sans serif bold x"}},"key":"1D605"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small y","short":"sans serif bold y"}},"key":"1D606"},{"category":"Ll","mappings":{"default":{"default":"sans serif bold small z","short":"sans serif bold z"}},"key":"1D607"}]
+"de/symbols/math_whitespace.js": 
+[{"locale":"de"},{"category":"Zs","key":"0020","mappings":{"default":{"default":"Leerzeichen"}}},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"weicher Trennstrich"}},"category":"Cf"},{"category":"Zs","key":"2000","mappings":{"default":{"default":"En Quad"}}},{"category":"Zs","key":"2001","mappings":{"default":{"default":"Em Quad"}}},{"category":"Zs","key":"2002","mappings":{"default":{"default":"En Space"}}},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Zs","key":"2004","mappings":{"default":{"default":"Raum für drei Per-Em"}}},{"category":"Zs","key":"2005","mappings":{"default":{"default":"Raum für vier pro Em"}}},{"category":"Zs","key":"2006","mappings":{"default":{"default":"Six-Per-Em Space"}}},{"category":"Zs","key":"2007","mappings":{"default":{"default":"Raum darstellen"}}},{"category":"Zs","key":"2008","mappings":{"default":{"default":"Interpunktionsraum"}}},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"200C","mappings":{"default":{"default":"Nullbreite ohne Joiner"}}},{"category":"Cf","key":"200D","mappings":{"default":{"default":"Zero Width Joiner"}}},{"category":"Cf","key":"200E","mappings":{"default":{"default":"Markierung von links nach rechts"}}},{"category":"Cf","key":"200F","mappings":{"default":{"default":"Markierung von rechts nach links"}}},{"category":"Zl","key":"2028","mappings":{"default":{"default":"Trennzeichen"}}},{"category":"Zp","key":"2029","mappings":{"default":{"default":"Absatztrennzeichen"}}},{"category":"Cf","key":"202A","mappings":{"default":{"default":"Einbetten von links nach rechts"}}},{"category":"Cf","key":"202B","mappings":{"default":{"default":"Einbetten von rechts nach links"}}},{"category":"Cf","key":"202C","mappings":{"default":{"default":"Pop Richtungsformatierung"}}},{"category":"Cf","key":"202D","mappings":{"default":{"default":"Von links nach rechts überschreiben"}}},{"category":"Cf","key":"202E","mappings":{"default":{"default":"Von rechts nach links überschreiben"}}},{"category":"Zs","key":"202F","mappings":{"default":{"default":"Schmaler No-Break-Bereich"}}},{"key":"205F","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Cf","key":"2060","mappings":{"default":{"default":"Word Joiner"}}},{"key":"2061","mappings":{"default":{"default":"von"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":" "}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"2064","mappings":{"default":{"default":"Unsichtbares Plus"}}},{"category":"Cf","key":"206A","mappings":{"default":{"default":"Symmetrisches Austauschen verhindern"}}},{"category":"Cf","key":"206B","mappings":{"default":{"default":"Aktivieren Sie das symmetrische Austauschen"}}},{"category":"Cf","key":"206E","mappings":{"default":{"default":"Nationale Ziffernformen"}}},{"category":"Cf","key":"206F","mappings":{"default":{"default":"Nominale Ziffernformen"}}},{"category":"Cf","key":"FEFF","mappings":{"default":{"default":"Nullbreite Leerzeichen"}}},{"category":"Cf","key":"FFF9","mappings":{"default":{"default":"Interlinearer Anmerkungsanker"}}},{"category":"Cf","key":"FFFA","mappings":{"default":{"default":"Separator für interlineare Anmerkungen"}}},{"category":"Cf","key":"FFFB","mappings":{"default":{"default":"Interlinear Annotation Terminator"}}}]
 ,
-"en/latin-mathfonts-sans-serif-italic.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital a","short":"sans serif italic cap a"},"mathspeak":{"default":"sans serif italic upper A"}},"key":"1D608"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital b","short":"sans serif italic cap b"},"mathspeak":{"default":"sans serif italic upper B"}},"key":"1D609"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital c","short":"sans serif italic cap c"},"mathspeak":{"default":"sans serif italic upper C"}},"key":"1D60A"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital d","short":"sans serif italic cap d"},"mathspeak":{"default":"sans serif italic upper D"}},"key":"1D60B"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital e","short":"sans serif italic cap e"},"mathspeak":{"default":"sans serif italic upper E"}},"key":"1D60C"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital f","short":"sans serif italic cap f"},"mathspeak":{"default":"sans serif italic upper F"}},"key":"1D60D"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital g","short":"sans serif italic cap g"},"mathspeak":{"default":"sans serif italic upper G"}},"key":"1D60E"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital h","short":"sans serif italic cap h"},"mathspeak":{"default":"sans serif italic upper H"}},"key":"1D60F"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital i","short":"sans serif italic cap i"},"mathspeak":{"default":"sans serif italic upper I"}},"key":"1D610"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital j","short":"sans serif italic cap j"},"mathspeak":{"default":"sans serif italic upper J"}},"key":"1D611"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital k","short":"sans serif italic cap k"},"mathspeak":{"default":"sans serif italic upper K"}},"key":"1D612"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital l","short":"sans serif italic cap l"},"mathspeak":{"default":"sans serif italic upper L"}},"key":"1D613"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital m","short":"sans serif italic cap m"},"mathspeak":{"default":"sans serif italic upper M"}},"key":"1D614"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital n","short":"sans serif italic cap n"},"mathspeak":{"default":"sans serif italic upper N"}},"key":"1D615"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital o","short":"sans serif italic cap o"},"mathspeak":{"default":"sans serif italic upper O"}},"key":"1D616"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital p","short":"sans serif italic cap p"},"mathspeak":{"default":"sans serif italic upper P"}},"key":"1D617"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital q","short":"sans serif italic cap q"},"mathspeak":{"default":"sans serif italic upper Q"}},"key":"1D618"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital r","short":"sans serif italic cap r"},"mathspeak":{"default":"sans serif italic upper R"}},"key":"1D619"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital s","short":"sans serif italic cap s"},"mathspeak":{"default":"sans serif italic upper S"}},"key":"1D61A"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital t","short":"sans serif italic cap t"},"mathspeak":{"default":"sans serif italic upper T"}},"key":"1D61B"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital u","short":"sans serif italic cap u"},"mathspeak":{"default":"sans serif italic upper U"}},"key":"1D61C"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital v","short":"sans serif italic cap v"},"mathspeak":{"default":"sans serif italic upper V"}},"key":"1D61D"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital w","short":"sans serif italic cap w"},"mathspeak":{"default":"sans serif italic upper W"}},"key":"1D61E"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital x","short":"sans serif italic cap x"},"mathspeak":{"default":"sans serif italic upper X"}},"key":"1D61F"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital y","short":"sans serif italic cap y"},"mathspeak":{"default":"sans serif italic upper Y"}},"key":"1D620"},{"category":"Lu","mappings":{"default":{"default":"sans serif italic capital z","short":"sans serif italic cap z"},"mathspeak":{"default":"sans serif italic upper Z"}},"key":"1D621"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small a","short":"sans serif italic a"}},"key":"1D622"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small b","short":"sans serif italic b"}},"key":"1D623"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small c","short":"sans serif italic c"}},"key":"1D624"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small d","short":"sans serif italic d"}},"key":"1D625"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small e","short":"sans serif italic e"}},"key":"1D626"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small f","short":"sans serif italic f"}},"key":"1D627"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small g","short":"sans serif italic g"}},"key":"1D628"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small h","short":"sans serif italic h"}},"key":"1D629"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small i","short":"sans serif italic i"}},"key":"1D62A"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small j","short":"sans serif italic j"}},"key":"1D62B"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small k","short":"sans serif italic k"}},"key":"1D62C"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small l","short":"sans serif italic l"}},"key":"1D62D"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small m","short":"sans serif italic m"}},"key":"1D62E"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small n","short":"sans serif italic n"}},"key":"1D62F"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small o","short":"sans serif italic o"}},"key":"1D630"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small p","short":"sans serif italic p"}},"key":"1D631"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small q","short":"sans serif italic q"}},"key":"1D632"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small r","short":"sans serif italic r"}},"key":"1D633"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small s","short":"sans serif italic s"}},"key":"1D634"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small t","short":"sans serif italic t"}},"key":"1D635"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small u","short":"sans serif italic u"}},"key":"1D636"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small v","short":"sans serif italic v"}},"key":"1D637"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small w","short":"sans serif italic w"}},"key":"1D638"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small x","short":"sans serif italic x"}},"key":"1D639"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small y","short":"sans serif italic y"}},"key":"1D63A"},{"category":"Ll","mappings":{"default":{"default":"sans serif italic small z","short":"sans serif italic z"}},"key":"1D63B"}]
+"de/symbols/other_stars.js": 
+[{"locale":"de"},{"category":"So","key":"23E8","mappings":{"default":{"default":"Dezimalexponentensymbol"}}},{"category":"So","key":"2605","mappings":{"default":{"default":"Schwarzer Stern"}}},{"category":"So","key":"2606","mappings":{"default":{"default":"weißer Stern"}}},{"category":"So","key":"26AA","mappings":{"default":{"default":"Mittlerer weißer Kreis"}}},{"category":"So","key":"26AB","mappings":{"default":{"default":"Mittlerer schwarzer Kreis"}}},{"category":"So","key":"2705","mappings":{"default":{"default":"Weißes schweres Häkchen"}}},{"category":"So","key":"2713","mappings":{"default":{"default":"Häkchen"}}},{"category":"So","key":"2714","mappings":{"default":{"default":"Schweres Häkchen"}}},{"category":"So","key":"2715","mappings":{"default":{"default":"Multiplikation X"}}},{"category":"So","key":"2716","mappings":{"default":{"default":"Schwere Multiplikation X"}}},{"category":"So","key":"2717","mappings":{"default":{"default":"Stimmzettel X"}}},{"category":"So","key":"2718","mappings":{"default":{"default":"Schwerer Stimmzettel X"}}},{"category":"So","key":"271B","mappings":{"default":{"default":"Center Cross öffnen"}}},{"category":"So","key":"271C","mappings":{"default":{"default":"Schweres offenes Mittelkreuz"}}},{"category":"So","key":"2720","mappings":{"default":{"default":"Malteserkreuz"}}},{"category":"So","key":"2721","mappings":{"default":{"default":"Davidstern"}}},{"category":"So","key":"2722","mappings":{"default":{"default":"Vier Teardrop-Spoked Asterisk"}}},{"category":"So","key":"2723","mappings":{"default":{"default":"Vier Ballon-Speichen-Sternchen"}}},{"category":"So","key":"2724","mappings":{"default":{"default":"Schwere Vier-Ballon-Speichen-Sternchen"}}},{"category":"So","key":"2725","mappings":{"default":{"default":"Vier Club-Spoked Asterisk"}}},{"category":"So","key":"2726","mappings":{"default":{"default":"Schwarzer vierzackiger Stern"}}},{"category":"So","key":"2727","mappings":{"default":{"default":"Weißer vierzackiger Stern"}}},{"category":"So","key":"2728","mappings":{"default":{"default":"Funkelt"}}},{"category":"So","key":"2729","mappings":{"default":{"default":"Stress umrissener weißer Stern"}}},{"category":"So","key":"272A","mappings":{"default":{"default":"Eingekreister weißer Stern"}}},{"category":"So","key":"272B","mappings":{"default":{"default":"Open Center Black Star"}}},{"category":"So","key":"272C","mappings":{"default":{"default":"Schwarzer Center White Star"}}},{"category":"So","key":"272D","mappings":{"default":{"default":"Schwarzer Stern umrissen"}}},{"category":"So","key":"272E","mappings":{"default":{"default":"Schwerer umrissener schwarzer Stern"}}},{"category":"So","key":"272F","mappings":{"default":{"default":"Sternrad Stern"}}},{"category":"So","key":"2730","mappings":{"default":{"default":"Beschatteter weißer Stern"}}},{"category":"So","key":"2731","mappings":{"default":{"default":"Schwerer Stern"}}},{"category":"So","key":"2732","mappings":{"default":{"default":"Öffnen Sie Center Asterisk"}}},{"category":"So","key":"2733","mappings":{"default":{"default":"Acht Speichen-Sternchen"}}},{"category":"So","key":"2734","mappings":{"default":{"default":"Achtzackiger schwarzer Stern"}}},{"category":"So","key":"2735","mappings":{"default":{"default":"Achtzackiger Sternradstern"}}},{"category":"So","key":"2736","mappings":{"default":{"default":"Sechszackiger schwarzer Stern"}}},{"category":"So","key":"2739","mappings":{"default":{"default":"Zwölf schwarzer Stern"}}},{"category":"So","key":"273A","mappings":{"default":{"default":"Sechzehn Spitzen Sternchen"}}},{"category":"So","key":"273B","mappings":{"default":{"default":"Teardrop-Spoked Sternchen"}}},{"category":"So","key":"273C","mappings":{"default":{"default":"Open Center Teardrop-Spoked Sternchen"}}},{"category":"So","key":"273D","mappings":{"default":{"default":"Schwerer Tropfen-Speichen-Sternchen"}}},{"category":"So","key":"273E","mappings":{"default":{"default":"Sechs Petalled Schwarzweiss-Florette"}}},{"category":"So","key":"273F","mappings":{"default":{"default":"Schwarze Florette"}}},{"category":"So","key":"2740","mappings":{"default":{"default":"Weiße Florette"}}},{"category":"So","key":"2741","mappings":{"default":{"default":"Acht Petalled umrissene schwarze Florette"}}},{"category":"So","key":"2742","mappings":{"default":{"default":"Eingekreistes offenes Zentrum Achtstern"}}},{"category":"So","key":"2743","mappings":{"default":{"default":"Schweres, tropfenbesetztes Nadelrad-Sternchen"}}},{"category":"So","key":"2744","mappings":{"default":{"default":"Schneeflocke"}}},{"category":"So","key":"2745","mappings":{"default":{"default":"Feste Trifoliate-Schneeflocke"}}},{"category":"So","key":"2746","mappings":{"default":{"default":"Schwere Chevron-Schneeflocke"}}},{"category":"So","key":"2747","mappings":{"default":{"default":"Funkeln"}}},{"category":"So","key":"2748","mappings":{"default":{"default":"Schweres Funkeln"}}},{"category":"So","key":"2749","mappings":{"default":{"default":"Ballon-Speichen-Sternchen"}}},{"category":"So","key":"274A","mappings":{"default":{"default":"Acht Teardrop-Spoked Propeller Sternchen"}}},{"category":"So","key":"274B","mappings":{"default":{"default":"Schwere Acht Teardrop-Spoked Propeller Sternchen"}}},{"category":"So","key":"274C","mappings":{"default":{"default":"Cross Mark"}}},{"category":"So","key":"274D","mappings":{"default":{"default":"Beschatteter weißer Kreis"}}}]
 ,
-"en/latin-mathfonts-sans-serif.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital a","short":"sans serif cap a"},"mathspeak":{"default":"sans serif upper A"}},"key":"1D5A0"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital b","short":"sans serif cap b"},"mathspeak":{"default":"sans serif upper B"}},"key":"1D5A1"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital c","short":"sans serif cap c"},"mathspeak":{"default":"sans serif upper C"}},"key":"1D5A2"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital d","short":"sans serif cap d"},"mathspeak":{"default":"sans serif upper D"}},"key":"1D5A3"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital e","short":"sans serif cap e"},"mathspeak":{"default":"sans serif upper E"}},"key":"1D5A4"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital f","short":"sans serif cap f"},"mathspeak":{"default":"sans serif upper F"}},"key":"1D5A5"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital g","short":"sans serif cap g"},"mathspeak":{"default":"sans serif upper G"}},"key":"1D5A6"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital h","short":"sans serif cap h"},"mathspeak":{"default":"sans serif upper H"}},"key":"1D5A7"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital i","short":"sans serif cap i"},"mathspeak":{"default":"sans serif upper I"}},"key":"1D5A8"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital j","short":"sans serif cap j"},"mathspeak":{"default":"sans serif upper J"}},"key":"1D5A9"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital k","short":"sans serif cap k"},"mathspeak":{"default":"sans serif upper K"}},"key":"1D5AA"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital l","short":"sans serif cap l"},"mathspeak":{"default":"sans serif upper L"}},"key":"1D5AB"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital m","short":"sans serif cap m"},"mathspeak":{"default":"sans serif upper M"}},"key":"1D5AC"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital n","short":"sans serif cap n"},"mathspeak":{"default":"sans serif upper N"}},"key":"1D5AD"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital o","short":"sans serif cap o"},"mathspeak":{"default":"sans serif upper O"}},"key":"1D5AE"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital p","short":"sans serif cap p"},"mathspeak":{"default":"sans serif upper P"}},"key":"1D5AF"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital q","short":"sans serif cap q"},"mathspeak":{"default":"sans serif upper Q"}},"key":"1D5B0"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital r","short":"sans serif cap r"},"mathspeak":{"default":"sans serif upper R"}},"key":"1D5B1"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital s","short":"sans serif cap s"},"mathspeak":{"default":"sans serif upper S"}},"key":"1D5B2"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital t","short":"sans serif cap t"},"mathspeak":{"default":"sans serif upper T"}},"key":"1D5B3"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital u","short":"sans serif cap u"},"mathspeak":{"default":"sans serif upper U"}},"key":"1D5B4"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital v","short":"sans serif cap v"},"mathspeak":{"default":"sans serif upper V"}},"key":"1D5B5"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital w","short":"sans serif cap w"},"mathspeak":{"default":"sans serif upper W"}},"key":"1D5B6"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital x","short":"sans serif cap x"},"mathspeak":{"default":"sans serif upper X"}},"key":"1D5B7"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital y","short":"sans serif cap y"},"mathspeak":{"default":"sans serif upper Y"}},"key":"1D5B8"},{"category":"Lu","mappings":{"default":{"default":"sans serif capital z","short":"sans serif cap z"},"mathspeak":{"default":"sans serif upper Z"}},"key":"1D5B9"},{"category":"Ll","mappings":{"default":{"default":"sans serif small a","short":"sans serif a"}},"key":"1D5BA"},{"category":"Ll","mappings":{"default":{"default":"sans serif small b","short":"sans serif b"}},"key":"1D5BB"},{"category":"Ll","mappings":{"default":{"default":"sans serif small c","short":"sans serif c"}},"key":"1D5BC"},{"category":"Ll","mappings":{"default":{"default":"sans serif small d","short":"sans serif d"}},"key":"1D5BD"},{"category":"Ll","mappings":{"default":{"default":"sans serif small e","short":"sans serif e"}},"key":"1D5BE"},{"category":"Ll","mappings":{"default":{"default":"sans serif small f","short":"sans serif f"}},"key":"1D5BF"},{"category":"Ll","mappings":{"default":{"default":"sans serif small g","short":"sans serif g"}},"key":"1D5C0"},{"category":"Ll","mappings":{"default":{"default":"sans serif small h","short":"sans serif h"}},"key":"1D5C1"},{"category":"Ll","mappings":{"default":{"default":"sans serif small i","short":"sans serif i"}},"key":"1D5C2"},{"category":"Ll","mappings":{"default":{"default":"sans serif small j","short":"sans serif j"}},"key":"1D5C3"},{"category":"Ll","mappings":{"default":{"default":"sans serif small k","short":"sans serif k"}},"key":"1D5C4"},{"category":"Ll","mappings":{"default":{"default":"sans serif small l","short":"sans serif l"}},"key":"1D5C5"},{"category":"Ll","mappings":{"default":{"default":"sans serif small m","short":"sans serif m"}},"key":"1D5C6"},{"category":"Ll","mappings":{"default":{"default":"sans serif small n","short":"sans serif n"}},"key":"1D5C7"},{"category":"Ll","mappings":{"default":{"default":"sans serif small o","short":"sans serif o"}},"key":"1D5C8"},{"category":"Ll","mappings":{"default":{"default":"sans serif small p","short":"sans serif p"}},"key":"1D5C9"},{"category":"Ll","mappings":{"default":{"default":"sans serif small q","short":"sans serif q"}},"key":"1D5CA"},{"category":"Ll","mappings":{"default":{"default":"sans serif small r","short":"sans serif r"}},"key":"1D5CB"},{"category":"Ll","mappings":{"default":{"default":"sans serif small s","short":"sans serif s"}},"key":"1D5CC"},{"category":"Ll","mappings":{"default":{"default":"sans serif small t","short":"sans serif t"}},"key":"1D5CD"},{"category":"Ll","mappings":{"default":{"default":"sans serif small u","short":"sans serif u"}},"key":"1D5CE"},{"category":"Ll","mappings":{"default":{"default":"sans serif small v","short":"sans serif v"}},"key":"1D5CF"},{"category":"Ll","mappings":{"default":{"default":"sans serif small w","short":"sans serif w"}},"key":"1D5D0"},{"category":"Ll","mappings":{"default":{"default":"sans serif small x","short":"sans serif x"}},"key":"1D5D1"},{"category":"Ll","mappings":{"default":{"default":"sans serif small y","short":"sans serif y"}},"key":"1D5D2"},{"category":"Ll","mappings":{"default":{"default":"sans serif small z","short":"sans serif z"}},"key":"1D5D3"}]
+"de/units/energy.js": 
+[{"locale":"de"},{"key":"W","mappings":{"default":{"default":"Watt"}},"category":"energy","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"Kilowatt"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"Milliwatt"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"Kilowattstunde"}},"key":"kwh","names":["kwh","kWh"]},{"key":"J","mappings":{"default":{"default":"Joule","plural":"Joules"}},"category":"energy","names":["J"]},{"key":"N","mappings":{"default":{"default":"Newton"}},"category":"energy","names":["N"]},{"key":"A","mappings":{"default":{"default":"Ampere"}},"category":"energy","names":["A"]},{"key":"V","mappings":{"default":{"default":"Volt"}},"category":"energy","names":["V"]},{"category":"energy","mappings":{"default":{"default":"Mikroohm"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"Milliohm"}},"key":"mΩ","names":["mΩ"]},{"key":"Ω","mappings":{"default":{"default":"Ohm"}},"category":"energy","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"Kiloohm"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"Megaohm"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"Gigaohm"}},"key":"GΩ","names":["GΩ"]}]
 ,
-"en/latin-mathfonts-script.js": 
-[{"locale":"en"},{"category":"Lu","mappings":{"default":{"default":"script capital a","short":"script cap a"},"mathspeak":{"default":"script upper A"}},"key":"1D49C"},{"category":"Lu","mappings":{"default":{"default":"script capital b","short":"script cap b"},"mathspeak":{"default":"script upper B"}},"key":"212C"},{"category":"Lu","mappings":{"default":{"default":"script capital c","short":"script cap c"},"mathspeak":{"default":"script upper C"}},"key":"1D49E"},{"category":"Lu","mappings":{"default":{"default":"script capital d","short":"script cap d"},"mathspeak":{"default":"script upper D"}},"key":"1D49F"},{"category":"Lu","mappings":{"default":{"default":"script capital e","short":"script cap e"},"mathspeak":{"default":"script upper E"}},"key":"2130"},{"category":"Lu","mappings":{"default":{"default":"script capital f","short":"script cap f"},"mathspeak":{"default":"script upper F"}},"key":"2131"},{"category":"Lu","mappings":{"default":{"default":"script capital g","short":"script cap g"},"mathspeak":{"default":"script upper G"}},"key":"1D4A2"},{"category":"Lu","mappings":{"default":{"default":"script capital h","short":"script cap h"},"mathspeak":{"default":"script upper H"}},"key":"210B"},{"category":"Lu","mappings":{"default":{"default":"script capital i","short":"script cap i"},"mathspeak":{"default":"script upper I"}},"key":"2110"},{"category":"Lu","mappings":{"default":{"default":"script capital j","short":"script cap j"},"mathspeak":{"default":"script upper J"}},"key":"1D4A5"},{"category":"Lu","mappings":{"default":{"default":"script capital k","short":"script cap k"},"mathspeak":{"default":"script upper K"}},"key":"1D4A6"},{"category":"Lu","mappings":{"default":{"default":"script capital l","short":"script cap l"},"mathspeak":{"default":"script upper L"}},"key":"2112"},{"category":"Lu","mappings":{"default":{"default":"script capital m","short":"script cap m"},"mathspeak":{"default":"script upper M"}},"key":"2133"},{"category":"Lu","mappings":{"default":{"default":"script capital n","short":"script cap n"},"mathspeak":{"default":"script upper N"}},"key":"1D4A9"},{"category":"Lu","mappings":{"default":{"default":"script capital o","short":"script cap o"},"mathspeak":{"default":"script upper O"}},"key":"1D4AA"},{"category":"Lu","mappings":{"default":{"default":"script capital p","short":"script cap p"},"mathspeak":{"default":"script upper P"}},"key":"1D4AB"},{"category":"Lu","mappings":{"default":{"default":"script capital q","short":"script cap q"},"mathspeak":{"default":"script upper Q"}},"key":"1D4AC"},{"category":"Lu","mappings":{"default":{"default":"script capital r","short":"script cap r"},"mathspeak":{"default":"script upper R"}},"key":"211B"},{"category":"Lu","mappings":{"default":{"default":"script capital s","short":"script cap s"},"mathspeak":{"default":"script upper S"}},"key":"1D4AE"},{"category":"Lu","mappings":{"default":{"default":"script capital t","short":"script cap t"},"mathspeak":{"default":"script upper T"}},"key":"1D4AF"},{"category":"Lu","mappings":{"default":{"default":"script capital u","short":"script cap u"},"mathspeak":{"default":"script upper U"}},"key":"1D4B0"},{"category":"Lu","mappings":{"default":{"default":"script capital v","short":"script cap v"},"mathspeak":{"default":"script upper V"}},"key":"1D4B1"},{"category":"Lu","mappings":{"default":{"default":"script capital w","short":"script cap w"},"mathspeak":{"default":"script upper W"}},"key":"1D4B2"},{"category":"Lu","mappings":{"default":{"default":"script capital x","short":"script cap x"},"mathspeak":{"default":"script upper X"}},"key":"1D4B3"},{"category":"Lu","mappings":{"default":{"default":"script capital y","short":"script cap y"},"mathspeak":{"default":"script upper Y"}},"key":"1D4B4"},{"category":"Lu","mappings":{"default":{"default":"script capital z","short":"script cap z"},"mathspeak":{"default":"script upper Z"}},"key":"1D4B5"},{"category":"Ll","mappings":{"default":{"default":"script small a","short":"script a"}},"key":"1D4B6"},{"category":"Ll","mappings":{"default":{"default":"script small b","short":"script b"}},"key":"1D4B7"},{"category":"Ll","mappings":{"default":{"default":"script small c","short":"script c"}},"key":"1D4B8"},{"category":"Ll","mappings":{"default":{"default":"script small d","short":"script d"}},"key":"1D4B9"},{"category":"Ll","mappings":{"default":{"default":"script small e","short":"script e"}},"key":"212F"},{"category":"Ll","mappings":{"default":{"default":"script small f","short":"script f"}},"key":"1D4BB"},{"category":"Ll","mappings":{"default":{"default":"script small g","short":"script g"}},"key":"210A"},{"category":"Ll","mappings":{"default":{"default":"script small h","short":"script h"}},"key":"1D4BD"},{"category":"Ll","mappings":{"default":{"default":"script small i","short":"script i"}},"key":"1D4BE"},{"category":"Ll","mappings":{"default":{"default":"script small j","short":"script j"}},"key":"1D4BF"},{"category":"Ll","mappings":{"default":{"default":"script small k","short":"script k"}},"key":"1D4C0"},{"category":"Ll","mappings":{"default":{"default":"script small l","short":"script l"}},"key":"1D4C1"},{"category":"Ll","mappings":{"default":{"default":"script small m","short":"script m"}},"key":"1D4C2"},{"category":"Ll","mappings":{"default":{"default":"script small n","short":"script n"}},"key":"1D4C3"},{"category":"Ll","mappings":{"default":{"default":"script small o","short":"script o"}},"key":"2134"},{"category":"Ll","mappings":{"default":{"default":"script small p","short":"script p"}},"key":"1D4C5"},{"category":"Ll","mappings":{"default":{"default":"script small q","short":"script q"}},"key":"1D4C6"},{"category":"Ll","mappings":{"default":{"default":"script small r","short":"script r"}},"key":"1D4C7"},{"category":"Ll","mappings":{"default":{"default":"script small s","short":"script s"}},"key":"1D4C8"},{"category":"Ll","mappings":{"default":{"default":"script small t","short":"script t"}},"key":"1D4C9"},{"category":"Ll","mappings":{"default":{"default":"script small u","short":"script u"}},"key":"1D4CA"},{"category":"Ll","mappings":{"default":{"default":"script small v","short":"script v"}},"key":"1D4CB"},{"category":"Ll","mappings":{"default":{"default":"script small w","short":"script w"}},"key":"1D4CC"},{"category":"Ll","mappings":{"default":{"default":"script small x","short":"script x"}},"key":"1D4CD"},{"category":"Ll","mappings":{"default":{"default":"script small y","short":"script y"}},"key":"1D4CE"},{"category":"Ll","mappings":{"default":{"default":"script small z","short":"script z"}},"key":"1D4CF"}]
+"de/units/length.js": 
+[{"locale":"de"},{"key":"mm","names":["mm"],"mappings":{"default":{"default":"Millimeter"}},"category":"length"},{"key":"cm","names":["cm"],"mappings":{"default":{"default":"Zentimeter"}},"category":"length"},{"key":"m","mappings":{"default":{"default":"Meter"}},"category":"length","names":["m"]},{"category":"length","mappings":{"default":{"default":"Kilometer"}},"key":"km","names":["km"]},{"key":"ft","mappings":{"default":{"default":"Fuß"}},"category":"length","names":["ft","ft."]},{"key":"in","mappings":{"default":{"default":"Zoll"}},"category":"length","names":["in","in."]},{"key":"mi","mappings":{"default":{"plural":"Meilen","default":"Meile"}},"category":"length","names":["mi","mi."]},{"key":"yd","mappings":{"default":{"plural":"Yards","default":"Yard"}},"category":"length","names":["yd","yd."]},{"key":"n.m.","names":["n.m."],"mappings":{"default":{"default":"nautische Meile"}},"category":"length"}]
 ,
-"en/latin-rest.js": 
-[{"locale":"en"},{"category":"Mn","key":"0363","mappings":{"default":{"default":"combining latin small letter a","short":"combining a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"combining latin small letter e","short":"combining e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"combining latin small letter i","short":"combining i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"combining latin small letter o","short":"combining o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"combining latin small letter u","short":"combining u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"combining latin small letter c","short":"combining c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"combining latin small letter d","short":"combining d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"combining latin small letter h","short":"combining h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"combining latin small letter m","short":"combining m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"combining latin small letter r","short":"combining r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"combining latin small letter t","short":"combining t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"combining latin small letter v","short":"combining v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"combining latin small letter x","short":"combining x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"latin subscript small letter i","short":"subscript i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"latin subscript small letter r","short":"subscript r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"latin subscript small letter u","short":"subscript u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"latin subscript small letter v","short":"subscript v"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"combining latin small letter r below","short":"combining r below"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"combining latin small letter flattened open a above","short":"combining flattened open a above"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"combining latin small letter ae","short":"combining ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"combining latin small letter ao","short":"combining ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"combining latin small letter av","short":"combining av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"combining latin small letter c cedilla","short":"combining c cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"combining latin small letter insular d","short":"combining insular d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"combining latin small letter eth","short":"combining eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"combining latin small letter g","short":"combining g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"combining latin letter small capital g","short":"combining small cap g"},"mathspeak":{"default":"combining small upper G"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"combining latin small letter k","short":"combining k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"combining latin small letter l","short":"combining l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"combining latin letter small capital l","short":"combining small cap l"},"mathspeak":{"default":"combining small upper L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"combining latin letter small capital m","short":"combining small cap m"},"mathspeak":{"default":"combining small upper M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"combining latin small letter n","short":"combining n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"combining latin letter small capital n","short":"combining small cap n"},"mathspeak":{"default":"combining small upper N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"combining latin letter small capital r","short":"combining small cap r"},"mathspeak":{"default":"combining small upper R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"combining latin small letter r rotunda","short":"combining r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"combining latin small letter s","short":"combining s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"combining latin small letter long s","short":"combining long s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"combining latin small letter z","short":"combining z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"superscript latin small letter i","short":"superscript i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"superscript latin small letter n","short":"superscript n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"latin subscript small letter a","short":"subscript a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"latin subscript small letter e","short":"subscript e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"latin subscript small letter o","short":"subscript o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"latin subscript small letter x","short":"subscript x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"latin subscript small letter schwa","short":"subscript schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"latin subscript small letter h","short":"subscript h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"latin subscript small letter k","short":"subscript k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"latin subscript small letter l","short":"subscript l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"latin subscript small letter m","short":"subscript m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"latin subscript small letter n","short":"subscript n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"latin subscript small letter p","short":"subscript p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"latin subscript small letter s","short":"subscript s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"latin subscript small letter t","short":"subscript t"}}},{"category":"So","key":"249C","mappings":{"default":{"default":"parenthesized latin small letter a","short":"parenthesized a"}}},{"category":"So","key":"249D","mappings":{"default":{"default":"parenthesized latin small letter b","short":"parenthesized b"}}},{"category":"So","key":"249E","mappings":{"default":{"default":"parenthesized latin small letter c","short":"parenthesized c"}}},{"category":"So","key":"249F","mappings":{"default":{"default":"parenthesized latin small letter d","short":"parenthesized d"}}},{"category":"So","key":"24A0","mappings":{"default":{"default":"parenthesized latin small letter e","short":"parenthesized e"}}},{"category":"So","key":"24A1","mappings":{"default":{"default":"parenthesized latin small letter f","short":"parenthesized f"}}},{"category":"So","key":"24A2","mappings":{"default":{"default":"parenthesized latin small letter g","short":"parenthesized g"}}},{"category":"So","key":"24A3","mappings":{"default":{"default":"parenthesized latin small letter h","short":"parenthesized h"}}},{"category":"So","key":"24A4","mappings":{"default":{"default":"parenthesized latin small letter i","short":"parenthesized i"}}},{"category":"So","key":"24A5","mappings":{"default":{"default":"parenthesized latin small letter j","short":"parenthesized j"}}},{"category":"So","key":"24A6","mappings":{"default":{"default":"parenthesized latin small letter k","short":"parenthesized k"}}},{"category":"So","key":"24A7","mappings":{"default":{"default":"parenthesized latin small letter l","short":"parenthesized l"}}},{"category":"So","key":"24A8","mappings":{"default":{"default":"parenthesized latin small letter m","short":"parenthesized m"}}},{"category":"So","key":"24A9","mappings":{"default":{"default":"parenthesized latin small letter n","short":"parenthesized n"}}},{"category":"So","key":"24AA","mappings":{"default":{"default":"parenthesized latin small letter o","short":"parenthesized o"}}},{"category":"So","key":"24AB","mappings":{"default":{"default":"parenthesized latin small letter p","short":"parenthesized p"}}},{"category":"So","key":"24AC","mappings":{"default":{"default":"parenthesized latin small letter q","short":"parenthesized q"}}},{"category":"So","key":"24AD","mappings":{"default":{"default":"parenthesized latin small letter r","short":"parenthesized r"}}},{"category":"So","key":"24AE","mappings":{"default":{"default":"parenthesized latin small letter s","short":"parenthesized s"}}},{"category":"So","key":"24AF","mappings":{"default":{"default":"parenthesized latin small letter t","short":"parenthesized t"}}},{"category":"So","key":"24B0","mappings":{"default":{"default":"parenthesized latin small letter u","short":"parenthesized u"}}},{"category":"So","key":"24B1","mappings":{"default":{"default":"parenthesized latin small letter v","short":"parenthesized v"}}},{"category":"So","key":"24B2","mappings":{"default":{"default":"parenthesized latin small letter w","short":"parenthesized w"}}},{"category":"So","key":"24B3","mappings":{"default":{"default":"parenthesized latin small letter x","short":"parenthesized x"}}},{"category":"So","key":"24B4","mappings":{"default":{"default":"parenthesized latin small letter y","short":"parenthesized y"}}},{"category":"So","key":"24B5","mappings":{"default":{"default":"parenthesized latin small letter z","short":"parenthesized z"}}},{"category":"So","key":"24B6","mappings":{"default":{"default":"circled latin capital letter a","short":"circled cap a"},"mathspeak":{"default":"circled upper A"}}},{"category":"So","key":"24B7","mappings":{"default":{"default":"circled latin capital letter b","short":"circled cap b"},"mathspeak":{"default":"circled upper B"}}},{"category":"So","key":"24B8","mappings":{"default":{"default":"circled latin capital letter c","short":"circled cap c"},"mathspeak":{"default":"circled upper C"}}},{"category":"So","key":"24B9","mappings":{"default":{"default":"circled latin capital letter d","short":"circled cap d"},"mathspeak":{"default":"circled upper D"}}},{"category":"So","key":"24BA","mappings":{"default":{"default":"circled latin capital letter e","short":"circled cap e"},"mathspeak":{"default":"circled upper E"}}},{"category":"So","key":"24BB","mappings":{"default":{"default":"circled latin capital letter f","short":"circled cap f"},"mathspeak":{"default":"circled upper F"}}},{"category":"So","key":"24BC","mappings":{"default":{"default":"circled latin capital letter g","short":"circled cap g"},"mathspeak":{"default":"circled upper G"}}},{"category":"So","key":"24BD","mappings":{"default":{"default":"circled latin capital letter h","short":"circled cap h"},"mathspeak":{"default":"circled upper H"}}},{"category":"So","key":"24BE","mappings":{"default":{"default":"circled latin capital letter i","short":"circled cap i"},"mathspeak":{"default":"circled upper I"}}},{"category":"So","key":"24BF","mappings":{"default":{"default":"circled latin capital letter j","short":"circled cap j"},"mathspeak":{"default":"circled upper J"}}},{"category":"So","key":"24C0","mappings":{"default":{"default":"circled latin capital letter k","short":"circled cap k"},"mathspeak":{"default":"circled upper K"}}},{"category":"So","key":"24C1","mappings":{"default":{"default":"circled latin capital letter l","short":"circled cap l"},"mathspeak":{"default":"circled upper L"}}},{"category":"So","key":"24C2","mappings":{"default":{"default":"circled latin capital letter m","short":"circled cap m"},"mathspeak":{"default":"circled upper M"}}},{"category":"So","key":"24C3","mappings":{"default":{"default":"circled latin capital letter n","short":"circled cap n"},"mathspeak":{"default":"circled upper N"}}},{"category":"So","key":"24C4","mappings":{"default":{"default":"circled latin capital letter o","short":"circled cap o"},"mathspeak":{"default":"circled upper O"}}},{"category":"So","key":"24C5","mappings":{"default":{"default":"circled latin capital letter p","short":"circled cap p"},"mathspeak":{"default":"circled upper P"}}},{"category":"So","key":"24C6","mappings":{"default":{"default":"circled latin capital letter q","short":"circled cap q"},"mathspeak":{"default":"circled upper Q"}}},{"category":"So","key":"24C7","mappings":{"default":{"default":"circled latin capital letter r","short":"circled cap r"},"mathspeak":{"default":"circled upper R"}}},{"category":"So","key":"24C8","mappings":{"default":{"default":"circled latin capital letter s","short":"circled cap s"},"mathspeak":{"default":"circled upper S"}}},{"category":"So","key":"24C9","mappings":{"default":{"default":"circled latin capital letter t","short":"circled cap t"},"mathspeak":{"default":"circled upper T"}}},{"category":"So","key":"24CA","mappings":{"default":{"default":"circled latin capital letter u","short":"circled cap u"},"mathspeak":{"default":"circled upper U"}}},{"category":"So","key":"24CB","mappings":{"default":{"default":"circled latin capital letter v","short":"circled cap v"},"mathspeak":{"default":"circled upper V"}}},{"category":"So","key":"24CC","mappings":{"default":{"default":"circled latin capital letter w","short":"circled cap w"},"mathspeak":{"default":"circled upper W"}}},{"category":"So","key":"24CD","mappings":{"default":{"default":"circled latin capital letter x","short":"circled cap x"},"mathspeak":{"default":"circled upper X"}}},{"category":"So","key":"24CE","mappings":{"default":{"default":"circled latin capital letter y","short":"circled cap y"},"mathspeak":{"default":"circled upper Y"}}},{"category":"So","key":"24CF","mappings":{"default":{"default":"circled latin capital letter z","short":"circled cap z"},"mathspeak":{"default":"circled upper Z"}}},{"category":"So","key":"24D0","mappings":{"default":{"default":"circled latin small letter a","short":"circled a"}}},{"category":"So","key":"24D1","mappings":{"default":{"default":"circled latin small letter b","short":"circled b"}}},{"category":"So","key":"24D2","mappings":{"default":{"default":"circled latin small letter c","short":"circled c"}}},{"category":"So","key":"24D3","mappings":{"default":{"default":"circled latin small letter d","short":"circled d"}}},{"category":"So","key":"24D4","mappings":{"default":{"default":"circled latin small letter e","short":"circled e"}}},{"category":"So","key":"24D5","mappings":{"default":{"default":"circled latin small letter f","short":"circled f"}}},{"category":"So","key":"24D6","mappings":{"default":{"default":"circled latin small letter g","short":"circled g"}}},{"category":"So","key":"24D7","mappings":{"default":{"default":"circled latin small letter h","short":"circled h"}}},{"category":"So","key":"24D8","mappings":{"default":{"default":"circled latin small letter i","short":"circled i"}}},{"category":"So","key":"24D9","mappings":{"default":{"default":"circled latin small letter j","short":"circled j"}}},{"category":"So","key":"24DA","mappings":{"default":{"default":"circled latin small letter k","short":"circled k"}}},{"category":"So","key":"24DB","mappings":{"default":{"default":"circled latin small letter l","short":"circled l"}}},{"category":"So","key":"24DC","mappings":{"default":{"default":"circled latin small letter m","short":"circled m"}}},{"category":"So","key":"24DD","mappings":{"default":{"default":"circled latin small letter n","short":"circled n"}}},{"category":"So","key":"24DE","mappings":{"default":{"default":"circled latin small letter o","short":"circled o"}}},{"category":"So","key":"24DF","mappings":{"default":{"default":"circled latin small letter p","short":"circled p"}}},{"category":"So","key":"24E0","mappings":{"default":{"default":"circled latin small letter q","short":"circled q"}}},{"category":"So","key":"24E1","mappings":{"default":{"default":"circled latin small letter r","short":"circled r"}}},{"category":"So","key":"24E2","mappings":{"default":{"default":"circled latin small letter s","short":"circled s"}}},{"category":"So","key":"24E3","mappings":{"default":{"default":"circled latin small letter t","short":"circled t"}}},{"category":"So","key":"24E4","mappings":{"default":{"default":"circled latin small letter u","short":"circled u"}}},{"category":"So","key":"24E5","mappings":{"default":{"default":"circled latin small letter v","short":"circled v"}}},{"category":"So","key":"24E6","mappings":{"default":{"default":"circled latin small letter w","short":"circled w"}}},{"category":"So","key":"24E7","mappings":{"default":{"default":"circled latin small letter x","short":"circled x"}}},{"category":"So","key":"24E8","mappings":{"default":{"default":"circled latin small letter y","short":"circled y"}}},{"category":"So","key":"24E9","mappings":{"default":{"default":"circled latin small letter z","short":"circled z"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"latin subscript small letter j","short":"subscript j"}}},{"category":"So","key":"1F110","mappings":{"default":{"default":"parenthesized latin capital letter a","short":"parenthesized cap a"},"mathspeak":{"default":"parenthesized upper A"}}},{"category":"So","key":"1F111","mappings":{"default":{"default":"parenthesized latin capital letter b","short":"parenthesized cap b"},"mathspeak":{"default":"parenthesized upper B"}}},{"category":"So","key":"1F112","mappings":{"default":{"default":"parenthesized latin capital letter c","short":"parenthesized cap c"},"mathspeak":{"default":"parenthesized upper C"}}},{"category":"So","key":"1F113","mappings":{"default":{"default":"parenthesized latin capital letter d","short":"parenthesized cap d"},"mathspeak":{"default":"parenthesized upper D"}}},{"category":"So","key":"1F114","mappings":{"default":{"default":"parenthesized latin capital letter e","short":"parenthesized cap e"},"mathspeak":{"default":"parenthesized upper E"}}},{"category":"So","key":"1F115","mappings":{"default":{"default":"parenthesized latin capital letter f","short":"parenthesized cap f"},"mathspeak":{"default":"parenthesized upper F"}}},{"category":"So","key":"1F116","mappings":{"default":{"default":"parenthesized latin capital letter g","short":"parenthesized cap g"},"mathspeak":{"default":"parenthesized upper G"}}},{"category":"So","key":"1F117","mappings":{"default":{"default":"parenthesized latin capital letter h","short":"parenthesized cap h"},"mathspeak":{"default":"parenthesized upper H"}}},{"category":"So","key":"1F118","mappings":{"default":{"default":"parenthesized latin capital letter i","short":"parenthesized cap i"},"mathspeak":{"default":"parenthesized upper I"}}},{"category":"So","key":"1F119","mappings":{"default":{"default":"parenthesized latin capital letter j","short":"parenthesized cap j"},"mathspeak":{"default":"parenthesized upper J"}}},{"category":"So","key":"1F11A","mappings":{"default":{"default":"parenthesized latin capital letter k","short":"parenthesized cap k"},"mathspeak":{"default":"parenthesized upper K"}}},{"category":"So","key":"1F11B","mappings":{"default":{"default":"parenthesized latin capital letter l","short":"parenthesized cap l"},"mathspeak":{"default":"parenthesized upper L"}}},{"category":"So","key":"1F11C","mappings":{"default":{"default":"parenthesized latin capital letter m","short":"parenthesized cap m"},"mathspeak":{"default":"parenthesized upper M"}}},{"category":"So","key":"1F11D","mappings":{"default":{"default":"parenthesized latin capital letter n","short":"parenthesized cap n"},"mathspeak":{"default":"parenthesized upper N"}}},{"category":"So","key":"1F11E","mappings":{"default":{"default":"parenthesized latin capital letter o","short":"parenthesized cap o"},"mathspeak":{"default":"parenthesized upper O"}}},{"category":"So","key":"1F11F","mappings":{"default":{"default":"parenthesized latin capital letter p","short":"parenthesized cap p"},"mathspeak":{"default":"parenthesized upper P"}}},{"category":"So","key":"1F120","mappings":{"default":{"default":"parenthesized latin capital letter q","short":"parenthesized cap q"},"mathspeak":{"default":"parenthesized upper Q"}}},{"category":"So","key":"1F121","mappings":{"default":{"default":"parenthesized latin capital letter r","short":"parenthesized cap r"},"mathspeak":{"default":"parenthesized upper R"}}},{"category":"So","key":"1F122","mappings":{"default":{"default":"parenthesized latin capital letter s","short":"parenthesized cap s"},"mathspeak":{"default":"parenthesized upper S"}}},{"category":"So","key":"1F123","mappings":{"default":{"default":"parenthesized latin capital letter t","short":"parenthesized cap t"},"mathspeak":{"default":"parenthesized upper T"}}},{"category":"So","key":"1F124","mappings":{"default":{"default":"parenthesized latin capital letter u","short":"parenthesized cap u"},"mathspeak":{"default":"parenthesized upper U"}}},{"category":"So","key":"1F125","mappings":{"default":{"default":"parenthesized latin capital letter v","short":"parenthesized cap v"},"mathspeak":{"default":"parenthesized upper V"}}},{"category":"So","key":"1F126","mappings":{"default":{"default":"parenthesized latin capital letter w","short":"parenthesized cap w"},"mathspeak":{"default":"parenthesized upper W"}}},{"category":"So","key":"1F127","mappings":{"default":{"default":"parenthesized latin capital letter x","short":"parenthesized cap x"},"mathspeak":{"default":"parenthesized upper X"}}},{"category":"So","key":"1F128","mappings":{"default":{"default":"parenthesized latin capital letter y","short":"parenthesized cap y"},"mathspeak":{"default":"parenthesized upper Y"}}},{"category":"So","key":"1F129","mappings":{"default":{"default":"parenthesized latin capital letter z","short":"parenthesized cap z"},"mathspeak":{"default":"parenthesized upper Z"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"tortoise shell bracketed latin capital letter s","short":"tortoise shell bracketed cap s"},"mathspeak":{"default":"tortoise shell bracketed upper S"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"circled italic latin capital letter c","short":"circled italic cap c"},"mathspeak":{"default":"circled italic upper C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"circled italic latin capital letter r","short":"circled italic cap r"},"mathspeak":{"default":"circled italic upper R"}}},{"category":"So","key":"1F130","mappings":{"default":{"default":"squared latin capital letter a","short":"squared cap a"},"mathspeak":{"default":"squared upper A"}}},{"category":"So","key":"1F131","mappings":{"default":{"default":"squared latin capital letter b","short":"squared cap b"},"mathspeak":{"default":"squared upper B"}}},{"category":"So","key":"1F132","mappings":{"default":{"default":"squared latin capital letter c","short":"squared cap c"},"mathspeak":{"default":"squared upper C"}}},{"category":"So","key":"1F133","mappings":{"default":{"default":"squared latin capital letter d","short":"squared cap d"},"mathspeak":{"default":"squared upper D"}}},{"category":"So","key":"1F134","mappings":{"default":{"default":"squared latin capital letter e","short":"squared cap e"},"mathspeak":{"default":"squared upper E"}}},{"category":"So","key":"1F135","mappings":{"default":{"default":"squared latin capital letter f","short":"squared cap f"},"mathspeak":{"default":"squared upper F"}}},{"category":"So","key":"1F136","mappings":{"default":{"default":"squared latin capital letter g","short":"squared cap g"},"mathspeak":{"default":"squared upper G"}}},{"category":"So","key":"1F137","mappings":{"default":{"default":"squared latin capital letter h","short":"squared cap h"},"mathspeak":{"default":"squared upper H"}}},{"category":"So","key":"1F138","mappings":{"default":{"default":"squared latin capital letter i","short":"squared cap i"},"mathspeak":{"default":"squared upper I"}}},{"category":"So","key":"1F139","mappings":{"default":{"default":"squared latin capital letter j","short":"squared cap j"},"mathspeak":{"default":"squared upper J"}}},{"category":"So","key":"1F13A","mappings":{"default":{"default":"squared latin capital letter k","short":"squared cap k"},"mathspeak":{"default":"squared upper K"}}},{"category":"So","key":"1F13B","mappings":{"default":{"default":"squared latin capital letter l","short":"squared cap l"},"mathspeak":{"default":"squared upper L"}}},{"category":"So","key":"1F13C","mappings":{"default":{"default":"squared latin capital letter m","short":"squared cap m"},"mathspeak":{"default":"squared upper M"}}},{"category":"So","key":"1F13D","mappings":{"default":{"default":"squared latin capital letter n","short":"squared cap n"},"mathspeak":{"default":"squared upper N"}}},{"category":"So","key":"1F13E","mappings":{"default":{"default":"squared latin capital letter o","short":"squared cap o"},"mathspeak":{"default":"squared upper O"}}},{"category":"So","key":"1F13F","mappings":{"default":{"default":"squared latin capital letter p","short":"squared cap p"},"mathspeak":{"default":"squared upper P"}}},{"category":"So","key":"1F140","mappings":{"default":{"default":"squared latin capital letter q","short":"squared cap q"},"mathspeak":{"default":"squared upper Q"}}},{"category":"So","key":"1F141","mappings":{"default":{"default":"squared latin capital letter r","short":"squared cap r"},"mathspeak":{"default":"squared upper R"}}},{"category":"So","key":"1F142","mappings":{"default":{"default":"squared latin capital letter s","short":"squared cap s"},"mathspeak":{"default":"squared upper S"}}},{"category":"So","key":"1F143","mappings":{"default":{"default":"squared latin capital letter t","short":"squared cap t"},"mathspeak":{"default":"squared upper T"}}},{"category":"So","key":"1F144","mappings":{"default":{"default":"squared latin capital letter u","short":"squared cap u"},"mathspeak":{"default":"squared upper U"}}},{"category":"So","key":"1F145","mappings":{"default":{"default":"squared latin capital letter v","short":"squared cap v"},"mathspeak":{"default":"squared upper V"}}},{"category":"So","key":"1F146","mappings":{"default":{"default":"squared latin capital letter w","short":"squared cap w"},"mathspeak":{"default":"squared upper W"}}},{"category":"So","key":"1F147","mappings":{"default":{"default":"squared latin capital letter x","short":"squared cap x"},"mathspeak":{"default":"squared upper X"}}},{"category":"So","key":"1F148","mappings":{"default":{"default":"squared latin capital letter y","short":"squared cap y"},"mathspeak":{"default":"squared upper Y"}}},{"category":"So","key":"1F149","mappings":{"default":{"default":"squared latin capital letter z","short":"squared cap z"},"mathspeak":{"default":"squared upper Z"}}},{"category":"So","key":"1F150","mappings":{"default":{"default":"negative circled latin capital letter a","short":"negative circled cap a"},"mathspeak":{"default":"negative circled upper A"}}},{"category":"So","key":"1F151","mappings":{"default":{"default":"negative circled latin capital letter b","short":"negative circled cap b"},"mathspeak":{"default":"negative circled upper B"}}},{"category":"So","key":"1F152","mappings":{"default":{"default":"negative circled latin capital letter c","short":"negative circled cap c"},"mathspeak":{"default":"negative circled upper C"}}},{"category":"So","key":"1F153","mappings":{"default":{"default":"negative circled latin capital letter d","short":"negative circled cap d"},"mathspeak":{"default":"negative circled upper D"}}},{"category":"So","key":"1F154","mappings":{"default":{"default":"negative circled latin capital letter e","short":"negative circled cap e"},"mathspeak":{"default":"negative circled upper E"}}},{"category":"So","key":"1F155","mappings":{"default":{"default":"negative circled latin capital letter f","short":"negative circled cap f"},"mathspeak":{"default":"negative circled upper F"}}},{"category":"So","key":"1F156","mappings":{"default":{"default":"negative circled latin capital letter g","short":"negative circled cap g"},"mathspeak":{"default":"negative circled upper G"}}},{"category":"So","key":"1F157","mappings":{"default":{"default":"negative circled latin capital letter h","short":"negative circled cap h"},"mathspeak":{"default":"negative circled upper H"}}},{"category":"So","key":"1F158","mappings":{"default":{"default":"negative circled latin capital letter i","short":"negative circled cap i"},"mathspeak":{"default":"negative circled upper I"}}},{"category":"So","key":"1F159","mappings":{"default":{"default":"negative circled latin capital letter j","short":"negative circled cap j"},"mathspeak":{"default":"negative circled upper J"}}},{"category":"So","key":"1F15A","mappings":{"default":{"default":"negative circled latin capital letter k","short":"negative circled cap k"},"mathspeak":{"default":"negative circled upper K"}}},{"category":"So","key":"1F15B","mappings":{"default":{"default":"negative circled latin capital letter l","short":"negative circled cap l"},"mathspeak":{"default":"negative circled upper L"}}},{"category":"So","key":"1F15C","mappings":{"default":{"default":"negative circled latin capital letter m","short":"negative circled cap m"},"mathspeak":{"default":"negative circled upper M"}}},{"category":"So","key":"1F15D","mappings":{"default":{"default":"negative circled latin capital letter n","short":"negative circled cap n"},"mathspeak":{"default":"negative circled upper N"}}},{"category":"So","key":"1F15E","mappings":{"default":{"default":"negative circled latin capital letter o","short":"negative circled cap o"},"mathspeak":{"default":"negative circled upper O"}}},{"category":"So","key":"1F15F","mappings":{"default":{"default":"negative circled latin capital letter p","short":"negative circled cap p"},"mathspeak":{"default":"negative circled upper P"}}},{"category":"So","key":"1F160","mappings":{"default":{"default":"negative circled latin capital letter q","short":"negative circled cap q"},"mathspeak":{"default":"negative circled upper Q"}}},{"category":"So","key":"1F161","mappings":{"default":{"default":"negative circled latin capital letter r","short":"negative circled cap r"},"mathspeak":{"default":"negative circled upper R"}}},{"category":"So","key":"1F162","mappings":{"default":{"default":"negative circled latin capital letter s","short":"negative circled cap s"},"mathspeak":{"default":"negative circled upper S"}}},{"category":"So","key":"1F163","mappings":{"default":{"default":"negative circled latin capital letter t","short":"negative circled cap t"},"mathspeak":{"default":"negative circled upper T"}}},{"category":"So","key":"1F164","mappings":{"default":{"default":"negative circled latin capital letter u","short":"negative circled cap u"},"mathspeak":{"default":"negative circled upper U"}}},{"category":"So","key":"1F165","mappings":{"default":{"default":"negative circled latin capital letter v","short":"negative circled cap v"},"mathspeak":{"default":"negative circled upper V"}}},{"category":"So","key":"1F166","mappings":{"default":{"default":"negative circled latin capital letter w","short":"negative circled cap w"},"mathspeak":{"default":"negative circled upper W"}}},{"category":"So","key":"1F167","mappings":{"default":{"default":"negative circled latin capital letter x","short":"negative circled cap x"},"mathspeak":{"default":"negative circled upper X"}}},{"category":"So","key":"1F168","mappings":{"default":{"default":"negative circled latin capital letter y","short":"negative circled cap y"},"mathspeak":{"default":"negative circled upper Y"}}},{"category":"So","key":"1F169","mappings":{"default":{"default":"negative circled latin capital letter z","short":"negative circled cap z"},"mathspeak":{"default":"negative circled upper Z"}}},{"category":"So","key":"1F170","mappings":{"default":{"default":"negative squared latin capital letter a","short":"negative squared cap a"},"mathspeak":{"default":"negative squared upper A"}}},{"category":"So","key":"1F171","mappings":{"default":{"default":"negative squared latin capital letter b","short":"negative squared cap b"},"mathspeak":{"default":"negative squared upper B"}}},{"category":"So","key":"1F172","mappings":{"default":{"default":"negative squared latin capital letter c","short":"negative squared cap c"},"mathspeak":{"default":"negative squared upper C"}}},{"category":"So","key":"1F173","mappings":{"default":{"default":"negative squared latin capital letter d","short":"negative squared cap d"},"mathspeak":{"default":"negative squared upper D"}}},{"category":"So","key":"1F174","mappings":{"default":{"default":"negative squared latin capital letter e","short":"negative squared cap e"},"mathspeak":{"default":"negative squared upper E"}}},{"category":"So","key":"1F175","mappings":{"default":{"default":"negative squared latin capital letter f","short":"negative squared cap f"},"mathspeak":{"default":"negative squared upper F"}}},{"category":"So","key":"1F176","mappings":{"default":{"default":"negative squared latin capital letter g","short":"negative squared cap g"},"mathspeak":{"default":"negative squared upper G"}}},{"category":"So","key":"1F177","mappings":{"default":{"default":"negative squared latin capital letter h","short":"negative squared cap h"},"mathspeak":{"default":"negative squared upper H"}}},{"category":"So","key":"1F178","mappings":{"default":{"default":"negative squared latin capital letter i","short":"negative squared cap i"},"mathspeak":{"default":"negative squared upper I"}}},{"category":"So","key":"1F179","mappings":{"default":{"default":"negative squared latin capital letter j","short":"negative squared cap j"},"mathspeak":{"default":"negative squared upper J"}}},{"category":"So","key":"1F17A","mappings":{"default":{"default":"negative squared latin capital letter k","short":"negative squared cap k"},"mathspeak":{"default":"negative squared upper K"}}},{"category":"So","key":"1F17B","mappings":{"default":{"default":"negative squared latin capital letter l","short":"negative squared cap l"},"mathspeak":{"default":"negative squared upper L"}}},{"category":"So","key":"1F17C","mappings":{"default":{"default":"negative squared latin capital letter m","short":"negative squared cap m"},"mathspeak":{"default":"negative squared upper M"}}},{"category":"So","key":"1F17D","mappings":{"default":{"default":"negative squared latin capital letter n","short":"negative squared cap n"},"mathspeak":{"default":"negative squared upper N"}}},{"category":"So","key":"1F17E","mappings":{"default":{"default":"negative squared latin capital letter o","short":"negative squared cap o"},"mathspeak":{"default":"negative squared upper O"}}},{"category":"So","key":"1F17F","mappings":{"default":{"default":"negative squared latin capital letter p","short":"negative squared cap p"},"mathspeak":{"default":"negative squared upper P"}}},{"category":"So","key":"1F180","mappings":{"default":{"default":"negative squared latin capital letter q","short":"negative squared cap q"},"mathspeak":{"default":"negative squared upper Q"}}},{"category":"So","key":"1F181","mappings":{"default":{"default":"negative squared latin capital letter r","short":"negative squared cap r"},"mathspeak":{"default":"negative squared upper R"}}},{"category":"So","key":"1F182","mappings":{"default":{"default":"negative squared latin capital letter s","short":"negative squared cap s"},"mathspeak":{"default":"negative squared upper S"}}},{"category":"So","key":"1F183","mappings":{"default":{"default":"negative squared latin capital letter t","short":"negative squared cap t"},"mathspeak":{"default":"negative squared upper T"}}},{"category":"So","key":"1F184","mappings":{"default":{"default":"negative squared latin capital letter u","short":"negative squared cap u"},"mathspeak":{"default":"negative squared upper U"}}},{"category":"So","key":"1F185","mappings":{"default":{"default":"negative squared latin capital letter v","short":"negative squared cap v"},"mathspeak":{"default":"negative squared upper V"}}},{"category":"So","key":"1F186","mappings":{"default":{"default":"negative squared latin capital letter w","short":"negative squared cap w"},"mathspeak":{"default":"negative squared upper W"}}},{"category":"So","key":"1F187","mappings":{"default":{"default":"negative squared latin capital letter x","short":"negative squared cap x"},"mathspeak":{"default":"negative squared upper X"}}},{"category":"So","key":"1F188","mappings":{"default":{"default":"negative squared latin capital letter y","short":"negative squared cap y"},"mathspeak":{"default":"negative squared upper Y"}}},{"category":"So","key":"1F189","mappings":{"default":{"default":"negative squared latin capital letter z","short":"negative squared cap z"},"mathspeak":{"default":"negative squared upper Z"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"crossed negative squared latin capital letter p","short":"crossed negative squared cap p"},"mathspeak":{"default":"crossed negative squared upper P"}}}]
+"de/units/memory.js": 
+[{"locale":"de"},{"key":"b","mappings":{"default":{"plural":"Bits","default":"Bit"}},"category":"memory","names":["b"]},{"key":"B","mappings":{"default":{"plural":"Bytes","default":"Byte"}},"category":"memory","names":["B"]},{"key":"KB","mappings":{"default":{"plural":"Kilobytes","default":"Kilobyte"}},"category":"memory","names":["KB"]},{"key":"MB","mappings":{"default":{"plural":"Megabytes","default":"Megabyte"}},"category":"memory","names":["MB"]},{"key":"GB","mappings":{"default":{"plural":"Gigabytes","default":"Gigabyte"}},"category":"memory","names":["GB"]},{"key":"TB","mappings":{"default":{"plural":"Terabytes","default":"Terabyte"}},"category":"memory","names":["TB"]}]
 ,
-"en/latin-upper-double-accent.js": 
-[{"locale":"en"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"latin capital letter u with diaeresis and macron","alternative":"latin capital letter u double overdot overbar","short":"cap u double overdot overbar"},"mathspeak":{"default":"upper U double overdot overbar"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"latin capital letter u with diaeresis and acute","alternative":"latin capital letter u double overdot acute","short":"cap u double overdot acute"},"mathspeak":{"default":"upper U double overdot acute"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"latin capital letter u with diaeresis and caron","alternative":"latin capital letter u double overdot hacek","short":"cap u double overdot caron"},"mathspeak":{"default":"upper U double overdot caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"latin capital letter u with diaeresis and grave","alternative":"latin capital letter u double overdot grave","short":"cap u double overdot grave"},"mathspeak":{"default":"upper U double overdot grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"latin capital letter a with diaeresis and macron","alternative":"latin capital letter a double overdot overbar","short":"cap a double overdot overbar"},"mathspeak":{"default":"upper A double overdot overbar"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"latin capital letter a with dot above and macron","alternative":"latin capital letter a dot overbar","short":"cap a overdot overbar"},"mathspeak":{"default":"upper A overdot overbar"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"latin capital letter o with ogonek and macron","alternative":"latin capital letter o ogonek overbar","short":"cap o ogonek overbar"},"mathspeak":{"default":"upper O ogonek overbar"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"latin capital letter a with ring above and acute","alternative":"latin capital letter a ring acute","short":"cap a ring acute"},"mathspeak":{"default":"upper A ring acute"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"latin capital letter o with diaeresis and macron","alternative":"latin capital letter o double overdot overbar","short":"cap o double overdot overbar"},"mathspeak":{"default":"upper O double overdot overbar"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"latin capital letter o with tilde and macron","alternative":"latin capital letter o tilde overbar","short":"cap o tilde overbar"},"mathspeak":{"default":"upper O tilde overbar"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"latin capital letter o with dot above and macron","alternative":"latin capital letter o overdot overbar","short":"cap o overdot overbar"},"mathspeak":{"default":"upper O overdot overbar"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"latin capital letter c with cedilla and acute","alternative":"latin capital letter c cedilla acute","short":"cap c cedilla acute"},"mathspeak":{"default":"upper C cedilla acute"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"latin capital letter e with macron and grave","alternative":"latin capital letter e overbar grave","short":"cap e overbar grave"},"mathspeak":{"default":"upper E overbar grave"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"latin capital letter e with macron and acute","alternative":"latin capital letter e overbar acute","short":"cap e overbar acute"},"mathspeak":{"default":"upper E overbar acute"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"latin capital letter e with cedilla and breve","alternative":"latin capital letter e cedilla breve","short":"cap e cedilla breve"},"mathspeak":{"default":"upper E cedilla breve"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"latin capital letter i with diaeresis and acute","alternative":"latin capital letter i double overdot acute","short":"cap i double overdot acute"},"mathspeak":{"default":"upper I double overdot acute"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"latin capital letter l with dot below and macron","alternative":"latin capital letter l underdot overbar","short":"cap l underdot overbar"},"mathspeak":{"default":"upper L underdot overbar"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"latin capital letter o with tilde and acute","alternative":"latin capital letter o tilde acute","short":"cap o tilde acute"},"mathspeak":{"default":"upper O tilde acute"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"latin capital letter o with tilde and diaeresis","alternative":"latin capital letter o tilde double overdot","short":"cap o tilde double overdot"},"mathspeak":{"default":"upper O tilde double overdot"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"latin capital letter o with macron and grave","alternative":"latin capital letter o overbar grave","short":"cap o overbar grave"},"mathspeak":{"default":"upper O overbar grave"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"latin capital letter o with macron and acute","alternative":"latin capital letter o overbar acute","short":"cap o overbar acute"},"mathspeak":{"default":"upper O overbar acute"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"latin capital letter r with dot below and macron","alternative":"cap r underdot and overbar","short":"cap r overbar underdot"},"mathspeak":{"default":"upper R overbar underdot"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"latin capital letter s with acute dot above","alternative":"latin capital letter s acute overdot","short":"cap s acute overdot"},"mathspeak":{"default":"upper S acute overdot"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"latin capital letter s with caron and dot above","alternative":"latin capital letter s caron overdot","short":"cap s caron overdot"},"mathspeak":{"default":"upper S caron overdot"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"latin capital letter s with dot below and dot above","alternative":"latin capital letter s underdot overdot","short":"cap s underdot overdot"},"mathspeak":{"default":"upper S underdot overdot"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"latin capital letter u with tilde and acute","alternative":"latin capital letter u tilde acute","short":"cap u tilde acute"},"mathspeak":{"default":"upper U tilde acute"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"latin capital letter u with macron and diaeresis","alternative":"latin capital letter u overbar double overdot","short":"cap u overbar double overdot"},"mathspeak":{"default":"upper U overbar double overdot"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"latin capital letter a with circumflex and acute","alternative":"latin capital letter a hat acute","short":"cap a hat acute"},"mathspeak":{"default":"upper A hat acute"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"latin capital letter a with circumflex and grave","alternative":"latin capital letter a hat grave","short":"cap a hat grave"},"mathspeak":{"default":"upper A hat grave"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"latin capital letter a with circumflex and hook above","alternative":"latin capital letter a hat hook","short":"cap a hat hook"},"mathspeak":{"default":"upper A hat hook"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"latin capital letter a with circumflex and tilde","alternative":"latin capital letter a hat tilde","short":"cap a hat tilde"},"mathspeak":{"default":"upper A hat tilde"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"latin capital letter a with circumflex and dot below","alternative":"latin capital letter a hat underdot","short":"cap a hat underdot"},"mathspeak":{"default":"upper A hat underdot"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"latin capital letter a with breve and acute","alternative":"latin capital letter a breve acute","short":"cap a breve acute"},"mathspeak":{"default":"upper A breve acute"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"latin capital letter a with breve and grave","alternative":"latin capital letter a breve grave","short":"cap a breve grave"},"mathspeak":{"default":"upper A breve grave"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"latin capital letter a with breve and hook above","alternative":"latin capital letter a breve hook","short":"cap a breve hook"},"mathspeak":{"default":"upper A breve hook"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"latin capital letter a with breve and tilde","alternative":"latin capital letter a breve tilde","short":"cap a breve tilde"},"mathspeak":{"default":"upper A breve tilde"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"latin capital letter a with breve and dot below","alternative":"latin capital letter a breve underdot","short":"cap a breve underdot"},"mathspeak":{"default":"upper A breve underdot"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"latin capital letter e with circumflex and acute","alternative":"latin capital letter e hat acute","short":"cap e hat acute"},"mathspeak":{"default":"upper E hat acute"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"latin capital letter e with circumflex and grave","alternative":"latin capital letter e hat grave","short":"cap e hat grave"},"mathspeak":{"default":"upper E hat grave"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"latin capital letter e with circumflex and hook above","alternative":"latin capital letter e hat hook","short":"cap e hat hook"},"mathspeak":{"default":"upper E hat hook"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"latin capital letter e with circumflex and tilde","alternative":"latin capital letter e hat tilde","short":"cap e hat tilde"},"mathspeak":{"default":"upper E hat tilde"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"latin capital letter e with circumflex and dot below","alternative":"latin capital letter e hat underdot","short":"cap e hat underdot"},"mathspeak":{"default":"upper E hat underdot"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"latin capital letter o with circumflex and acute","alternative":"latin capital letter o hat acute","short":"cap o hat acute"},"mathspeak":{"default":"upper O hat acute"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"latin capital letter o with circumflex and grave","alternative":"latin capital letter o hat grave","short":"cap o hat grave"},"mathspeak":{"default":"upper O hat grave"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"latin capital letter o with circumflex and hook above","alternative":"latin capital letter o hat hook","short":"cap o hat hook"},"mathspeak":{"default":"upper O hat hook"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"latin capital letter o with circumflex and tilde","alternative":"latin capital letter o hat tilde","short":"cap o hat tilde"},"mathspeak":{"default":"upper O hat tilde"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"latin capital letter o with circumflex and dot below","alternative":"latin capital letter o hat underdot","short":"cap o hat underdot"},"mathspeak":{"default":"upper O hat underdot"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"latin capital letter o with horn and acute","alternative":"latin capital letter o acute prime","short":"cap o acute prime"},"mathspeak":{"default":"upper O acute prime"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"latin capital letter o with horn and grave","alternative":"latin capital letter o grave prime","short":"cap o grave prime"},"mathspeak":{"default":"upper O grave prime"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"latin capital letter o with horn and hook above","alternative":"latin capital letter o hook prime","short":"cap o hook prime"},"mathspeak":{"default":"upper O hook prime"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"latin capital letter o with horn and tilde","alternative":"latin capital letter o tilde prime","short":"cap o tilde prime"},"mathspeak":{"default":"upper O tilde prime"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"latin capital letter o with horn and dot below","alternative":"latin capital letter o underdot prime","short":"cap o underdot prime"},"mathspeak":{"default":"upper O underdot prime"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"latin capital letter u with horn and acute","alternative":"latin capital letter u acute prime","short":"cap u acute prime"},"mathspeak":{"default":"upper U acute prime"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"latin capital letter u with horn and grave","alternative":"latin capital letter u grave prime","short":"cap u grave prime"},"mathspeak":{"default":"upper U grave prime"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"latin capital letter u with horn and hook above","alternative":"latin capital letter u hook prime","short":"cap u hook prime"},"mathspeak":{"default":"upper U hook prime"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"latin capital letter u with horn and tilde","alternative":"latin capital letter u tilde prime","short":"cap u tilde prime"},"mathspeak":{"default":"upper U tilde prime"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"latin capital letter u with horn and dot below","alternative":"latin capital letter u underdot prime","short":"cap u underdot prime"},"mathspeak":{"default":"upper U underdot prime"}}}]
+"de/units/other.js": 
+[{"locale":"de"},{"key":"ha","mappings":{"default":{"default":"Hektar"}},"category":"other","names":["ha"]},{"category":"other","mappings":{"default":{"default":"Dutzend"}},"key":"doz","names":["doz","doz.","dz","dz."]}]
 ,
-"en/latin-upper-normal.js": 
-[{"locale":"en"},{"category":"Lu","key":"0041","mappings":{"default":{"default":"latin capital letter a","short":"cap a"},"mathspeak":{"default":"upper A"}}},{"category":"Lu","key":"0042","mappings":{"default":{"default":"latin capital letter b","short":"cap b"},"mathspeak":{"default":"upper B"}}},{"category":"Lu","key":"0043","mappings":{"default":{"default":"latin capital letter c","short":"cap c"},"mathspeak":{"default":"upper C"}}},{"category":"Lu","key":"0044","mappings":{"default":{"default":"latin capital letter d","short":"cap d"},"mathspeak":{"default":"upper D"}}},{"category":"Lu","key":"0045","mappings":{"default":{"default":"latin capital letter e","short":"cap e"},"mathspeak":{"default":"upper E"}}},{"category":"Lu","key":"0046","mappings":{"default":{"default":"latin capital letter f","short":"cap f"},"mathspeak":{"default":"upper F"}}},{"category":"Lu","key":"0047","mappings":{"default":{"default":"latin capital letter g","short":"cap g"},"mathspeak":{"default":"upper G"}}},{"category":"Lu","key":"0048","mappings":{"default":{"default":"latin capital letter h","short":"cap h"},"mathspeak":{"default":"upper H"}}},{"category":"Lu","key":"0049","mappings":{"default":{"default":"latin capital letter i","short":"cap i"},"mathspeak":{"default":"upper I"}}},{"category":"Lu","key":"004A","mappings":{"default":{"default":"latin capital letter j","short":"cap j"},"mathspeak":{"default":"upper J"}}},{"category":"Lu","key":"004B","mappings":{"default":{"default":"latin capital letter k","short":"cap k"},"mathspeak":{"default":"upper K"}}},{"category":"Lu","key":"004C","mappings":{"default":{"default":"latin capital letter l","short":"cap l"},"mathspeak":{"default":"upper L"}}},{"category":"Lu","key":"004D","mappings":{"default":{"default":"latin capital letter m","short":"cap m"},"mathspeak":{"default":"upper M"}}},{"category":"Lu","key":"004E","mappings":{"default":{"default":"latin capital letter n","short":"cap n"},"mathspeak":{"default":"upper N"}}},{"category":"Lu","key":"004F","mappings":{"default":{"default":"latin capital letter o","short":"cap o"},"mathspeak":{"default":"upper O"}}},{"category":"Lu","key":"0050","mappings":{"default":{"default":"latin capital letter p","short":"cap p"},"mathspeak":{"default":"upper P"}}},{"category":"Lu","key":"0051","mappings":{"default":{"default":"latin capital letter q","short":"cap q"},"mathspeak":{"default":"upper Q"}}},{"category":"Lu","key":"0052","mappings":{"default":{"default":"latin capital letter r","short":"cap r"},"mathspeak":{"default":"upper R"}}},{"category":"Lu","key":"0053","mappings":{"default":{"default":"latin capital letter s","short":"cap s"},"mathspeak":{"default":"upper S"}}},{"category":"Lu","key":"0054","mappings":{"default":{"default":"latin capital letter t","short":"cap t"},"mathspeak":{"default":"upper T"}}},{"category":"Lu","key":"0055","mappings":{"default":{"default":"latin capital letter u","short":"cap u"},"mathspeak":{"default":"upper U"}}},{"category":"Lu","key":"0056","mappings":{"default":{"default":"latin capital letter v","short":"cap v"},"mathspeak":{"default":"upper V"}}},{"category":"Lu","key":"0057","mappings":{"default":{"default":"latin capital letter w","short":"cap w"},"mathspeak":{"default":"upper W"}}},{"category":"Lu","key":"0058","mappings":{"default":{"default":"latin capital letter x","short":"cap x"},"mathspeak":{"default":"upper X"}}},{"category":"Lu","key":"0059","mappings":{"default":{"default":"latin capital letter y","short":"cap y"},"mathspeak":{"default":"upper Y"}}},{"category":"Lu","key":"005A","mappings":{"default":{"default":"latin capital letter z","short":"cap z"},"mathspeak":{"default":"upper Z"}}},{"category":"Lu","key":"FF21","mappings":{"default":{"default":"fullwidth latin capital letter a","alternative":"fullwidth latin cap a","short":"cap a"},"mathspeak":{"default":"upper A"}}},{"category":"Lu","key":"FF22","mappings":{"default":{"default":"fullwidth latin capital letter b","alternative":"fullwidth latin cap b","short":"cap b"},"mathspeak":{"default":"upper B"}}},{"category":"Lu","key":"FF23","mappings":{"default":{"default":"fullwidth latin capital letter c","alternative":"fullwidth latin cap c","short":"cap c"},"mathspeak":{"default":"upper C"}}},{"category":"Lu","key":"FF24","mappings":{"default":{"default":"fullwidth latin capital letter d","alternative":"fullwidth latin cap d","short":"cap d"},"mathspeak":{"default":"upper D"}}},{"category":"Lu","key":"FF25","mappings":{"default":{"default":"fullwidth latin capital letter e","alternative":"fullwidth latin cap e","short":"cap e"},"mathspeak":{"default":"upper E"}}},{"category":"Lu","key":"FF26","mappings":{"default":{"default":"fullwidth latin capital letter f","alternative":"fullwidth latin cap f","short":"cap f"},"mathspeak":{"default":"upper F"}}},{"category":"Lu","key":"FF27","mappings":{"default":{"default":"fullwidth latin capital letter g","alternative":"fullwidth latin cap g","short":"cap g"},"mathspeak":{"default":"upper G"}}},{"category":"Lu","key":"FF28","mappings":{"default":{"default":"fullwidth latin capital letter h","alternative":"fullwidth latin cap h","short":"cap h"},"mathspeak":{"default":"upper H"}}},{"category":"Lu","key":"FF29","mappings":{"default":{"default":"fullwidth latin capital letter i","alternative":"fullwidth latin cap i","short":"cap i"},"mathspeak":{"default":"upper I"}}},{"category":"Lu","key":"FF2A","mappings":{"default":{"default":"fullwidth latin capital letter j","alternative":"fullwidth latin cap j","short":"cap j"},"mathspeak":{"default":"upper J"}}},{"category":"Lu","key":"FF2B","mappings":{"default":{"default":"fullwidth latin capital letter k","alternative":"fullwidth latin cap k","short":"cap k"},"mathspeak":{"default":"upper K"}}},{"category":"Lu","key":"FF2C","mappings":{"default":{"default":"fullwidth latin capital letter l","alternative":"fullwidth latin cap l","short":"cap l"},"mathspeak":{"default":"upper L"}}},{"category":"Lu","key":"FF2D","mappings":{"default":{"default":"fullwidth latin capital letter m","alternative":"fullwidth latin cap m","short":"cap m"},"mathspeak":{"default":"upper M"}}},{"category":"Lu","key":"FF2E","mappings":{"default":{"default":"fullwidth latin capital letter n","alternative":"fullwidth latin cap n","short":"cap n"},"mathspeak":{"default":"upper N"}}},{"category":"Lu","key":"FF2F","mappings":{"default":{"default":"fullwidth latin capital letter o","alternative":"fullwidth latin cap o","short":"cap o"},"mathspeak":{"default":"upper O"}}},{"category":"Lu","key":"FF30","mappings":{"default":{"default":"fullwidth latin capital letter p","alternative":"fullwidth latin cap p","short":"cap p"},"mathspeak":{"default":"upper P"}}},{"category":"Lu","key":"FF31","mappings":{"default":{"default":"fullwidth latin capital letter q","alternative":"fullwidth latin cap q","short":"cap q"},"mathspeak":{"default":"upper Q"}}},{"category":"Lu","key":"FF32","mappings":{"default":{"default":"fullwidth latin capital letter r","alternative":"fullwidth latin cap r","short":"cap r"},"mathspeak":{"default":"upper R"}}},{"category":"Lu","key":"FF33","mappings":{"default":{"default":"fullwidth latin capital letter s","alternative":"fullwidth latin cap s","short":"cap s"},"mathspeak":{"default":"upper S"}}},{"category":"Lu","key":"FF34","mappings":{"default":{"default":"fullwidth latin capital letter t","alternative":"fullwidth latin cap t","short":"cap t"},"mathspeak":{"default":"upper T"}}},{"category":"Lu","key":"FF35","mappings":{"default":{"default":"fullwidth latin capital letter u","alternative":"fullwidth latin cap u","short":"cap u"},"mathspeak":{"default":"upper U"}}},{"category":"Lu","key":"FF36","mappings":{"default":{"default":"fullwidth latin capital letter v","alternative":"fullwidth latin cap v","short":"cap v"},"mathspeak":{"default":"upper V"}}},{"category":"Lu","key":"FF37","mappings":{"default":{"default":"fullwidth latin capital letter w","alternative":"fullwidth latin cap w","short":"cap w"},"mathspeak":{"default":"upper W"}}},{"category":"Lu","key":"FF38","mappings":{"default":{"default":"fullwidth latin capital letter x","alternative":"fullwidth latin cap x","short":"cap x"},"mathspeak":{"default":"upper X"}}},{"category":"Lu","key":"FF39","mappings":{"default":{"default":"fullwidth latin capital letter y","alternative":"fullwidth latin cap y","short":"cap y"},"mathspeak":{"default":"upper Y"}}},{"category":"Lu","key":"FF3A","mappings":{"default":{"default":"fullwidth latin capital letter z","alternative":"fullwidth latin cap z","short":"cap z"},"mathspeak":{"default":"upper Z"}}}]
+"de/units/speed.js": 
+[{"locale":"de"},{"category":"speed","mappings":{"default":{"default":"Knoten"}},"key":"kt","names":["kt","kt."]},{"key":"mph","mappings":{"default":{"default":"Meilen pro Stunde","singular":"Meile pro Stunde"}},"category":"speed","names":["mph"]},{"key":"kmh","mappings":{"default":{"default":"Kilometer pro Stunde"}},"category":"speed","names":["kmh"]},{"key":"rpm","mappings":{"default":{"default":"Umdrehungen pro Minute","singular":"Umdrehung pro Minute"}},"category":"speed","names":["rpm"]}]
 ,
-"en/latin-upper-single-accent.js": 
-[{"locale":"en"},{"category":"Lu","key":"00C0","mappings":{"default":{"default":"latin capital letter a with grave","alternative":"latin capital letter a grave","short":"cap a grave"},"mathspeak":{"default":"modifying above upper A with grave","brief":"mod above upper A with grave","sbrief":"mod above upper A with grave"}}},{"category":"Lu","key":"00C1","mappings":{"default":{"default":"latin capital letter a with acute","alternative":"latin capital letter a acute","short":"cap a acute"},"mathspeak":{"default":"modifying above upper A with acute","brief":"mod above upper A with acute","sbrief":"mod above upper A with acute"}}},{"category":"Lu","key":"00C2","mappings":{"default":{"default":"latin capital letter a with circumflex","alternative":"latin capital letter a hat","short":"cap a hat"},"mathspeak":{"default":"modifying above upper A with caret","brief":"mod above upper A with caret","sbrief":"mod above upper A with caret"}}},{"category":"Lu","key":"00C3","mappings":{"default":{"default":"latin capital letter a with tilde","alternative":"latin capital letter a tilde","short":"cap a tilde"},"mathspeak":{"default":"upper A overtilde","brief":"upper A overtilde","sbrief":"upper A overtilde"}}},{"category":"Lu","key":"00C4","mappings":{"default":{"default":"latin capital letter a with diaeresis","alternative":"latin capital letter a double overdot","short":"cap a double overdot"},"mathspeak":{"default":"modifying above upper A with double dot","brief":"mod above upper A with double dot","sbrief":"mod above upper A with double dot"}}},{"category":"Lu","key":"00C5","mappings":{"default":{"default":"latin capital letter a with ring above","alternative":"latin capital letter a ring","short":"cap a ring"},"mathspeak":{"default":"modifying above upper A with ring","brief":"mod above upper A with ring","sbrief":"mod above upper A with ring"}}},{"category":"Lu","key":"00C7","mappings":{"default":{"default":"latin capital letter c cedilla","alternative":"latin capital letter c cedilla","short":"cap c cedilla"},"mathspeak":{"default":"modifying above upper C with cedilla","brief":"mod above upper C with cedilla","sbrief":"mod above upper C with cedilla"}}},{"category":"Lu","key":"00C8","mappings":{"default":{"default":"latin capital letter e with grave","alternative":"latin capital letter e grave","short":"cap e grave"},"mathspeak":{"default":"modifying above upper E with grave","brief":"mod above upper E with grave","sbrief":"mod above upper E with grave"}}},{"category":"Lu","key":"00C9","mappings":{"default":{"default":"latin capital letter e with acute","alternative":"latin capital letter e acute","short":"cap e acute"},"mathspeak":{"default":"modifying above upper E with acute","brief":"mod above upper E with acute","sbrief":"mod above upper E with acute"}}},{"category":"Lu","key":"00CA","mappings":{"default":{"default":"latin capital letter e with circumflex","alternative":"latin capital letter e hat","short":"cap e hat"},"mathspeak":{"default":"modifying above upper E with caret","brief":"mod above upper E with caret","sbrief":"mod above upper E with caret"}}},{"category":"Lu","key":"00CB","mappings":{"default":{"default":"latin capital letter e with diaeresis","alternative":"latin capital letter e double overdot","short":"cap e double overdot"},"mathspeak":{"default":"modifying above upper E with double dot","brief":"mod above upper E with double dot","sbrief":"mod above upper E with double dot"}}},{"category":"Lu","key":"00CC","mappings":{"default":{"default":"latin capital letter i with grave","alternative":"latin capital letter i grave","short":"cap i grave"},"mathspeak":{"default":"modifying above upper I with grave","brief":"mod above upper I with grave","sbrief":"mod above upper I with grave"}}},{"category":"Lu","key":"00CD","mappings":{"default":{"default":"latin capital letter i with acute","alternative":"latin capital letter i acute","short":"cap i acute"},"mathspeak":{"default":"modifying above upper I with acute","brief":"mod above upper I with acute","sbrief":"mod above upper I with acute"}}},{"category":"Lu","key":"00CE","mappings":{"default":{"default":"latin capital letter i with circumflex","alternative":"latin capital letter i hat","short":"cap i hat"},"mathspeak":{"default":"modifying above upper I with caret","brief":"mod above upper I with caret","sbrief":"mod above upper I with caret"}}},{"category":"Lu","key":"00CF","mappings":{"default":{"default":"latin capital letter i with diaeresis","alternative":"latin capital letter i double overdot","short":"cap i double overdot"},"mathspeak":{"default":"modifying above upper I with double dot","brief":"mod above upper I with double dot","sbrief":"mod above upper I with double dot"}}},{"category":"Lu","key":"00D1","mappings":{"default":{"default":"latin capital letter n tilde","alternative":"latin capital letter n tilde","short":"cap n tilde"},"mathspeak":{"default":"upper N overtilde","brief":"upper N overtilde","sbrief":"upper N overtilde"}}},{"category":"Lu","key":"00D2","mappings":{"default":{"default":"latin capital letter o with grave","alternative":"latin capital letter o grave","short":"cap o grave"},"mathspeak":{"default":"modifying above upper O with grave","brief":"mod above upper O with grave","sbrief":"mod above upper O with grave"}}},{"category":"Lu","key":"00D3","mappings":{"default":{"default":"latin capital letter o with acute","alternative":"latin capital letter o acute","short":"cap o acute"},"mathspeak":{"default":"modifying above upper O with acute","brief":"mod above upper O with acute","sbrief":"mod above upper O with acute"}}},{"category":"Lu","key":"00D4","mappings":{"default":{"default":"latin capital letter o with circumflex","alternative":"latin capital letter o hat","short":"cap o hat"},"mathspeak":{"default":"modifying above upper O with caret","brief":"mod above upper O with caret","sbrief":"mod above upper O with caret"}}},{"category":"Lu","key":"00D5","mappings":{"default":{"default":"latin capital letter o with tilde","alternative":"latin capital letter o tilde","short":"cap o tilde"},"mathspeak":{"default":"upper O overtilde","brief":"upper O overtilde","sbrief":"upper O overtilde"}}},{"category":"Lu","key":"00D6","mappings":{"default":{"default":"latin capital letter o with diaeresis","alternative":"latin capital letter o double overdot","short":"cap o double overdot"},"mathspeak":{"default":"modifying above upper O with double dot","brief":"mod above upper O with double dot","sbrief":"mod above upper O with double dot"}}},{"category":"Lu","key":"00D9","mappings":{"default":{"default":"latin capital letter u with grave","alternative":"latin capital letter u grave","short":"cap u grave"},"mathspeak":{"default":"modifying above upper U with grave","brief":"mod above upper U with grave","sbrief":"mod above upper U with grave"}}},{"category":"Lu","key":"00DA","mappings":{"default":{"default":"latin capital letter u with acute","alternative":"latin capital letter u acute","short":"cap u acute"},"mathspeak":{"default":"modifying above upper U with acute","brief":"mod above upper U with acute","sbrief":"mod above upper U with acute"}}},{"category":"Lu","key":"00DB","mappings":{"default":{"default":"latin capital letter u with circumflex","alternative":"latin capital letter u hat","short":"cap u hat"},"mathspeak":{"default":"modifying above upper U with caret","brief":"mod above upper U with caret","sbrief":"mod above upper U with caret"}}},{"category":"Lu","key":"00DC","mappings":{"default":{"default":"latin capital letter u with diaeresis","alternative":"latin capital letter u double overdot","short":"cap u double overdot"},"mathspeak":{"default":"modifying above upper U with double dot","brief":"mod above upper U with double dot","sbrief":"mod above upper U with double dot"}}},{"category":"Lu","key":"00DD","mappings":{"default":{"default":"latin capital letter y with acute","alternative":"latin capital letter y acute","short":"cap y acute"},"mathspeak":{"default":"modifying above upper Y with acute","brief":"mod above upper Y with acute","sbrief":"mod above upper Y with acute"}}},{"category":"Lu","key":"0100","mappings":{"default":{"default":"latin capital letter a macron","alternative":"latin capital letter a overbar","short":"cap a overbar"},"mathspeak":{"default":"upper A overbar","brief":"upper A overbar","sbrief":"upper A overbar"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"latin capital letter a with breve","alternative":"latin capital letter a breve","short":"cap a breve"},"mathspeak":{"default":"modifying above upper A with breve","brief":"mod above upper A with breve","sbrief":"mod above upper A with breve"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"latin capital letter a with ogonek","alternative":"latin capital letter a ogonek","short":"cap a ogonek"},"mathspeak":{"default":"modifying above upper A with ogonek","brief":"mod above upper A with ogonek","sbrief":"mod above upper A with ogonek"}}},{"category":"Lu","key":"0106","mappings":{"default":{"default":"latin capital letter c with acute","alternative":"latin capital letter c acute","short":"cap c acute"},"mathspeak":{"default":"modifying above upper C with acute","brief":"mod above upper C with acute","sbrief":"mod above upper C with acute"}}},{"category":"Lu","key":"0108","mappings":{"default":{"default":"latin capital letter c with circumflex","alternative":"latin capital letter c hat","short":"cap c hat"},"mathspeak":{"default":"modifying above upper C with caret","brief":"mod above upper C with caret","sbrief":"mod above upper C with caret"}}},{"category":"Lu","key":"010A","mappings":{"default":{"default":"latin capital letter c with dot above","alternative":"latin capital letter c overdot","short":"cap c overdot"},"mathspeak":{"default":"modifying above upper C with dot","brief":"mod above upper C with dot","sbrief":"mod above upper C with dot"}}},{"category":"Lu","key":"010C","mappings":{"default":{"default":"latin capital letter c with caron","alternative":"latin capital letter c hacek","short":"cap c caron"},"mathspeak":{"default":"modifying above upper C with caron","brief":"mod above upper C with caron","sbrief":"mod above upper C with caron"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"latin capital letter d with caron","alternative":"latin capital letter d hacek","short":"cap d caron"},"mathspeak":{"default":"modifying above upper D with caron","brief":"mod above upper D with caron","sbrief":"mod above upper D with caron"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"latin capital letter e with macron","alternative":"latin capital letter e overbar","short":"cap e overbar"},"mathspeak":{"default":"upper E overbar","brief":"upper E overbar","sbrief":"upper E overbar"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"latin capital letter e with breve","alternative":"latin capital letter e breve","short":"cap e breve"},"mathspeak":{"default":"modifying above upper E with breve","brief":"mod above upper E with breve","sbrief":"mod above upper E with breve"}}},{"category":"Lu","key":"0116","mappings":{"default":{"default":"latin capital letter e with dot above","alternative":"latin capital letter e overdot","short":"cap e overdot"},"mathspeak":{"default":"modifying above upper E with dot","brief":"mod above upper E with dot","sbrief":"mod above upper E with dot"}}},{"category":"Lu","key":"0118","mappings":{"default":{"default":"latin capital letter e with ogonek","alternative":"latin capital letter e ogonek","short":"cap e ogonek"},"mathspeak":{"default":"modifying above upper E with ogonek","brief":"mod above upper E with ogonek","sbrief":"mod above upper E with ogonek"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"latin capital letter e with caron","alternative":"latin capital letter e hacek","short":"cap e caron"},"mathspeak":{"default":"modifying above upper E with caron","brief":"mod above upper E with caron","sbrief":"mod above upper E with caron"}}},{"category":"Lu","key":"011C","mappings":{"default":{"default":"latin capital letter g with circumflex","alternative":"latin capital letter g hat","short":"cap g hat"},"mathspeak":{"default":"modifying above upper G with caret","brief":"mod above upper G with caret","sbrief":"mod above upper G with caret"}}},{"category":"Lu","key":"011E","mappings":{"default":{"default":"latin capital letter g with breve","alternative":"latin capital letter g breve","short":"cap g breve"},"mathspeak":{"default":"modifying above upper G with breve","brief":"mod above upper G with breve","sbrief":"mod above upper G with breve"}}},{"category":"Lu","key":"0120","mappings":{"default":{"default":"latin capital letter g with dot above","alternative":"latin capital letter g overdot","short":"cap g overdot"},"mathspeak":{"default":"modifying above upper G with dot","brief":"mod above upper G with dot","sbrief":"mod above upper G with dot"}}},{"category":"Lu","key":"0122","mappings":{"default":{"default":"latin capital letter g with cedilla","alternative":"latin capital letter g cedilla","short":"cap g cedilla"},"mathspeak":{"default":"modifying above upper G with cedilla","brief":"mod above upper G with cedilla","sbrief":"mod above upper G with cedilla"}}},{"category":"Lu","key":"0124","mappings":{"default":{"default":"latin capital letter h with circumflex","alternative":"latin capital letter h hat","short":"cap h hat"},"mathspeak":{"default":"modifying above upper H with caret","brief":"mod above upper H with caret","sbrief":"mod above upper H with caret"}}},{"category":"Lu","key":"0128","mappings":{"default":{"default":"latin capital letter i with tilde","alternative":"latin capital letter i tilde","short":"cap i tilde"},"mathspeak":{"default":"upper I overtilde","brief":"upper I overtilde","sbrief":"upper I overtilde"}}},{"category":"Lu","key":"012A","mappings":{"default":{"default":"latin capital letter i with macron","alternative":"latin capital letter i overbar","short":"cap i overbar"},"mathspeak":{"default":"upper I overbar","brief":"upper I overbar","sbrief":"upper I overbar"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"latin capital letter i with breve","alternative":"latin capital letter i breve","short":"cap i breve"},"mathspeak":{"default":"modifying above upper I with breve","brief":"mod above upper I with breve","sbrief":"mod above upper I with breve"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"latin capital letter i with ogonek","alternative":"latin capital letter i ogonek","short":"cap i ogonek"},"mathspeak":{"default":"modifying above upper I with ogonek","brief":"mod above upper I with ogonek","sbrief":"mod above upper I with ogonek"}}},{"category":"Lu","key":"0130","mappings":{"default":{"default":"latin capital letter i with dot above","alternative":"latin capital letter i overdot","short":"cap i overdot"},"mathspeak":{"default":"modifying above upper I with dot","brief":"mod above upper I with dot","sbrief":"mod above upper I with dot"}}},{"category":"Lu","key":"0134","mappings":{"default":{"default":"latin capital letter j circumflex","alternative":"latin capital letter j hat","short":"cap j hat"},"mathspeak":{"default":"modifying above upper J with caret","brief":"mod above upper J with caret","sbrief":"mod above upper J with caret"}}},{"category":"Lu","key":"0136","mappings":{"default":{"default":"latin capital letter k with cedilla","alternative":"latin capital letter k cedilla","short":"cap k cedilla"},"mathspeak":{"default":"modifying above upper K with cedilla","brief":"mod above upper K with cedilla","sbrief":"mod above upper K with cedilla"}}},{"category":"Lu","key":"0139","mappings":{"default":{"default":"latin capital letter l with acute","alternative":"latin capital letter l acute","short":"cap l acute"},"mathspeak":{"default":"modifying above upper L with acute","brief":"mod above upper L with acute","sbrief":"mod above upper L with acute"}}},{"category":"Lu","key":"013B","mappings":{"default":{"default":"latin capital letter l with cedilla","alternative":"latin capital letter l cedilla","short":"cap l cedilla"},"mathspeak":{"default":"modifying above upper L with cedilla","brief":"mod above upper L with cedilla","sbrief":"mod above upper L with cedilla"}}},{"category":"Lu","key":"013D","mappings":{"default":{"default":"latin capital letter l with caron","alternative":"latin capital letter l hacek","short":"cap l caron"},"mathspeak":{"default":"modifying above upper L with caron","brief":"mod above upper L with caron","sbrief":"mod above upper L with caron"}}},{"category":"Lu","key":"013F","mappings":{"default":{"default":"latin capital letter l with middle dot","alternative":"latin capital letter l middle dot","short":"cap l middle dot"},"mathspeak":{"default":"modifying above upper L with middle dot","brief":"mod above upper L with middle dot","sbrief":"mod above upper L with middle dot"}}},{"category":"Lu","key":"0143","mappings":{"default":{"default":"latin capital letter n with acute","alternative":"latin capital letter n acute","short":"cap n acute"},"mathspeak":{"default":"modifying above upper N with acute","brief":"mod above upper N with acute","sbrief":"mod above upper N with acute"}}},{"category":"Lu","key":"0145","mappings":{"default":{"default":"latin capital letter n with cedilla","alternative":"latin capital letter n cedilla","short":"cap n cedilla"},"mathspeak":{"default":"modifying above upper N with cedilla","brief":"mod above upper N with cedilla","sbrief":"mod above upper N with cedilla"}}},{"category":"Lu","key":"0147","mappings":{"default":{"default":"latin capital letter n with caron","alternative":"latin capital letter n hacek","short":"cap n caron"},"mathspeak":{"default":"modifying above upper N with caron","brief":"mod above upper N with caron","sbrief":"mod above upper N with caron"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"latin capital letter o macron","alternative":"latin capital letter o overbar","short":"cap o overbar"},"mathspeak":{"default":"upper O overbar","brief":"upper O overbar","sbrief":"upper O overbar"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"latin capital letter o with breve","alternative":"latin capital letter o breve","short":"cap o breve"},"mathspeak":{"default":"modifying above upper O with breve","brief":"mod above upper O with breve","sbrief":"mod above upper O with breve"}}},{"category":"Lu","key":"0150","mappings":{"default":{"default":"latin capital letter o with double acute","alternative":"latin capital letter o double acute","short":"cap o double acute"},"mathspeak":{"default":"modifying above upper O with double acute","brief":"mod above upper O with double acute","sbrief":"mod above upper O with double acute"}}},{"category":"Lu","key":"0154","mappings":{"default":{"default":"latin capital letter r acute","alternative":"latin capital letter r acute","short":"cap r acute"},"mathspeak":{"default":"modifying above upper R with acute","brief":"mod above upper R with acute","sbrief":"mod above upper R with acute"}}},{"category":"Lu","key":"0156","mappings":{"default":{"default":"latin capital letter r with cedilla","alternative":"latin capital letter r cedilla","short":"cap r cedilla"},"mathspeak":{"default":"modifying above upper R with cedilla","brief":"mod above upper R with cedilla","sbrief":"mod above upper R with cedilla"}}},{"category":"Lu","key":"0158","mappings":{"default":{"default":"latin capital letter r with caron","alternative":"latin capital letter r hacek","short":"cap r caron"},"mathspeak":{"default":"modifying above upper R with caron","brief":"mod above upper R with caron","sbrief":"mod above upper R with caron"}}},{"category":"Lu","key":"015A","mappings":{"default":{"default":"latin capital letter s with acute","alternative":"latin capital letter s acute","short":"cap s acute"},"mathspeak":{"default":"modifying above upper S with acute","brief":"mod above upper S with acute","sbrief":"mod above upper S with acute"}}},{"category":"Lu","key":"015C","mappings":{"default":{"default":"latin capital letter s with circumflex","alternative":"latin capital letter s hat","short":"cap s hat"},"mathspeak":{"default":"modifying above upper S with caret","brief":"mod above upper S with caret","sbrief":"mod above upper S with caret"}}},{"category":"Lu","key":"015E","mappings":{"default":{"default":"latin capital letter s with cedilla","alternative":"latin capital letter s cedilla","short":"cap s cedilla"},"mathspeak":{"default":"modifying above upper S with cedilla","brief":"mod above upper S with cedilla","sbrief":"mod above upper S with cedilla"}}},{"category":"Lu","key":"0160","mappings":{"default":{"default":"latin capital letter s with caron","alternative":"latin capital letter s hacek","short":"cap s caron"},"mathspeak":{"default":"modifying above upper S with caron","brief":"mod above upper S with caron","sbrief":"mod above upper S with caron"}}},{"category":"Lu","key":"0162","mappings":{"default":{"default":"latin capital letter t with cedilla","alternative":"latin capital letter t cedilla","short":"cap t cedilla"},"mathspeak":{"default":"modifying above upper T with cedilla","brief":"mod above upper T with cedilla","sbrief":"mod above upper T with cedilla"}}},{"category":"Lu","key":"0164","mappings":{"default":{"default":"latin capital letter t with caron","alternative":"latin capital letter t hacek","short":"cap t caron"},"mathspeak":{"default":"modifying above upper T with caron","brief":"mod above upper T with caron","sbrief":"mod above upper T with caron"}}},{"category":"Lu","key":"0168","mappings":{"default":{"default":"latin capital letter u with tilde","alternative":"latin capital letter u tilde","short":"cap u tilde"},"mathspeak":{"default":"upper U overtilde","brief":"upper U overtilde","sbrief":"upper U overtilde"}}},{"category":"Lu","key":"016A","mappings":{"default":{"default":"latin capital letter u with macron","alternative":"latin capital letter u overbar","short":"cap u overbar"},"mathspeak":{"default":"upper U overbar","brief":"upper U overbar","sbrief":"upper U overbar"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"latin capital letter u with breve","alternative":"latin capital letter u breve","short":"cap u breve"},"mathspeak":{"default":"modifying above upper U with breve","brief":"mod above upper U with breve","sbrief":"mod above upper U with breve"}}},{"category":"Lu","key":"016E","mappings":{"default":{"default":"latin capital letter u with ring above","alternative":"latin capital letter u ring","short":"cap u ring"},"mathspeak":{"default":"modifying above upper U with ring","brief":"mod above upper U with ring","sbrief":"mod above upper U with ring"}}},{"category":"Lu","key":"0170","mappings":{"default":{"default":"latin capital letter u with double acute","alternative":"latin capital letter u double acute","short":"cap u double acute"},"mathspeak":{"default":"modifying above upper U with double acute","brief":"mod above upper U with double acute","sbrief":"mod above upper U with double acute"}}},{"category":"Lu","key":"0172","mappings":{"default":{"default":"latin capital letter u with ogonek","alternative":"latin capital letter u ogonek","short":"cap u ogonek"},"mathspeak":{"default":"modifying above upper U with ogonek","brief":"mod above upper U with ogonek","sbrief":"mod above upper U with ogonek"}}},{"category":"Lu","key":"0174","mappings":{"default":{"default":"latin capital letter w with circumflex","alternative":"latin capital letter w hat","short":"cap w hat"},"mathspeak":{"default":"modifying above upper W with caret","brief":"mod above upper W with caret","sbrief":"mod above upper W with caret"}}},{"category":"Lu","key":"0176","mappings":{"default":{"default":"latin capital letter y with circumflex","alternative":"latin capital letter y hat","short":"cap y hat"},"mathspeak":{"default":"modifying above upper Y with caret","brief":"mod above upper Y with caret","sbrief":"mod above upper Y with caret"}}},{"category":"Lu","key":"0178","mappings":{"default":{"default":"latin capital letter y with diaeresis","alternative":"latin capital letter y double overdot","short":"cap y double overdot"},"mathspeak":{"default":"modifying above upper Y with double dot","brief":"mod above upper Y with double dot","sbrief":"mod above upper Y with double dot"}}},{"category":"Lu","key":"0179","mappings":{"default":{"default":"latin capital letter z with acute","alternative":"latin capital letter z acute","short":"cap z acute"},"mathspeak":{"default":"modifying above upper Z with acute","brief":"mod above upper Z with acute","sbrief":"mod above upper Z with acute"}}},{"category":"Lu","key":"017B","mappings":{"default":{"default":"latin capital letter z with dot above","alternative":"latin capital letter z overdot","short":"cap z overdot"},"mathspeak":{"default":"modifying above upper Z with dot","brief":"mod above upper Z with dot","sbrief":"mod above upper Z with dot"}}},{"category":"Lu","key":"017D","mappings":{"default":{"default":"latin capital letter z with caron","alternative":"latin capital letter z hacek","short":"cap z caron"},"mathspeak":{"default":"modifying above upper Z with caron","brief":"mod above upper Z with caron","sbrief":"mod above upper Z with caron"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"latin capital letter a with caron","alternative":"latin capital letter a hacek","short":"cap a caron"},"mathspeak":{"default":"modifying above upper A with caron","brief":"mod above upper A with caron","sbrief":"mod above upper A with caron"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"latin capital letter i with caron","alternative":"latin capital letter i hacek","short":"cap i caron"},"mathspeak":{"default":"modifying above upper I with caron","brief":"mod above upper I with caron","sbrief":"mod above upper I with caron"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"latin capital letter o with caron","alternative":"latin capital letter o hacek","short":"cap o caron"},"mathspeak":{"default":"modifying above upper O with caron","brief":"mod above upper O with caron","sbrief":"mod above upper O with caron"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"latin capital letter u with caron","alternative":"latin capital letter u hacek","short":"cap u caron"},"mathspeak":{"default":"modifying above upper U with caron","brief":"mod above upper U with caron","sbrief":"mod above upper U with caron"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"latin capital letter g with caron","alternative":"latin capital letter g hacek","short":"cap g caron"},"mathspeak":{"default":"modifying above upper G with caron","brief":"mod above upper G with caron","sbrief":"mod above upper G with caron"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"latin capital letter k with caron","alternative":"latin capital letter k hacek","short":"cap k caron"},"mathspeak":{"default":"modifying above upper K with caron","brief":"mod above upper K with caron","sbrief":"mod above upper K with caron"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"latin capital letter o with ogonek","alternative":"latin capital letter o ogonek","short":"cap o ogonek"},"mathspeak":{"default":"modifying above upper O with ogonek","brief":"mod above upper O with ogonek","sbrief":"mod above upper O with ogonek"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"latin capital letter g with acute","alternative":"latin capital letter g acute","short":"cap g acute"},"mathspeak":{"default":"modifying above upper G with acute","brief":"mod above upper G with acute","sbrief":"mod above upper G with acute"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"latin capital letter n with grave","alternative":"latin capital letter n grave","short":"cap n grave"},"mathspeak":{"default":"modifying above upper N with grave","brief":"mod above upper N with grave","sbrief":"mod above upper N with grave"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"latin capital letter a with double grave","alternative":"latin capital letter a double grave","short":"cap a double grave"},"mathspeak":{"default":"modifying above upper A with double grave","brief":"mod above upper A with double grave","sbrief":"mod above upper A with double grave"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"latin capital letter a with inverted breve","alternative":"latin capital letter a inverted breve","short":"cap a inverted breve"},"mathspeak":{"default":"modifying above upper A with inverted breve","brief":"mod above upper A with inverted breve","sbrief":"mod above upper A with inverted breve"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"latin capital letter e with double grave","alternative":"latin capital letter e double grave","short":"cap e double grave"},"mathspeak":{"default":"modifying above upper E with double grave","brief":"mod above upper E with double grave","sbrief":"mod above upper E with double grave"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"latin capital letter e with inverted breve","alternative":"latin capital letter e inverted breve","short":"cap e inverted breve"},"mathspeak":{"default":"modifying above upper E with inverted breve","brief":"mod above upper E with inverted breve","sbrief":"mod above upper E with inverted breve"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"latin capital letter i with double grave","alternative":"latin capital letter i double grave","short":"cap i double grave"},"mathspeak":{"default":"modifying above upper I with double grave","brief":"mod above upper I with double grave","sbrief":"mod above upper I with double grave"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"latin capital letter i with inverted breve","alternative":"latin capital letter i inverted breve","short":"cap i inverted breve"},"mathspeak":{"default":"modifying above upper I with inverted breve","brief":"mod above upper I with inverted breve","sbrief":"mod above upper I with inverted breve"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"latin capital letter o with double grave","alternative":"latin capital letter o double grave","short":"cap o double grave"},"mathspeak":{"default":"modifying above upper O with double grave","brief":"mod above upper O with double grave","sbrief":"mod above upper O with double grave"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"latin capital letter o with inverted breve","alternative":"latin capital letter o inverted breve","short":"cap o inverted breve"},"mathspeak":{"default":"modifying above upper O with inverted breve","brief":"mod above upper O with inverted breve","sbrief":"mod above upper O with inverted breve"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"latin capital letter r with double grave","alternative":"latin capital letter r double grave","short":"cap r double grave"},"mathspeak":{"default":"modifying above upper R with double grave","brief":"mod above upper R with double grave","sbrief":"mod above upper R with double grave"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"latin capital letter r with inverted breve","alternative":"latin capital letter r inverted breve","short":"cap r inverted breve"},"mathspeak":{"default":"modifying above upper R with inverted breve","brief":"mod above upper R with inverted breve","sbrief":"mod above upper R with inverted breve"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"latin capital letter u with double grave","alternative":"latin capital letter u double grave","short":"cap u double grave"},"mathspeak":{"default":"modifying above upper U with double grave","brief":"mod above upper U with double grave","sbrief":"mod above upper U with double grave"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"latin capital letter u with inverted breve","alternative":"latin capital letter u inverted breve","short":"cap u inverted breve"},"mathspeak":{"default":"modifying above upper U with inverted breve","brief":"mod above upper U with inverted breve","sbrief":"mod above upper U with inverted breve"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"latin capital letter s with comma below","alternative":"latin capital letter s comma below","short":"cap s comma below"},"mathspeak":{"default":"modifying below upper S with comma below","brief":"mod below upper S with comma below","sbrief":"mod below upper S with comma below"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"latin capital letter t with comma below","alternative":"latin capital letter t comma below","short":"cap t comma below"},"mathspeak":{"default":"modifying below upper T with comma below","brief":"mod below upper T with comma below","sbrief":"mod below upper T with comma below"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"latin capital letter h caron","short":"cap h caron"},"mathspeak":{"default":"modifying above upper H with caron","brief":"mod above upper H with caron","sbrief":"mod above upper H with caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"latin capital letter a with dot above","alternative":"latin capital letter a overdot","short":"cap a overdot"},"mathspeak":{"default":"modifying above upper A with dot","brief":"mod above upper A with dot","sbrief":"mod above upper A with dot"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"latin capital letter e with cedilla","alternative":"latin capital letter e cedilla","short":"cap e cedilla"},"mathspeak":{"default":"modifying above upper E with cedilla","brief":"mod above upper E with cedilla","sbrief":"mod above upper E with cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"latin capital letter o with dot above","alternative":"latin capital letter o overdot","short":"cap o overdot"},"mathspeak":{"default":"modifying above upper O with dot","brief":"mod above upper O with dot","sbrief":"mod above upper O with dot"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"latin capital letter y with macron","alternative":"latin capital letter y overbar","short":"cap y overbar"},"mathspeak":{"default":"upper Y overbar","brief":"upper Y overbar","sbrief":"upper Y overbar"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"latin capital letter a with ring below","alternative":"latin capital letter a ring below","short":"cap a ring below"},"mathspeak":{"default":"modifying below upper A with ring below","brief":"mod below upper A with ring below","sbrief":"mod below upper A with ring below"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"latin capital letter b with dot above","alternative":"latin capital letter b overdot","short":"cap b overdot"},"mathspeak":{"default":"modifying above upper B with dot","brief":"mod above upper B with dot","sbrief":"mod above upper B with dot"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"latin capital letter b with dot below","alternative":"latin capital letter b underdot","short":"cap b underdot"},"mathspeak":{"default":"modifying below upper B with dot","brief":"mod below upper B with dot","sbrief":"mod below upper B with dot"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"latin capital letter b with line below","alternative":"latin capital letter b underbar","short":"cap b underbar"},"mathspeak":{"default":"upper B underbar","brief":"upper B underbar","sbrief":"upper B underbar"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"latin capital letter d with dot above","alternative":"latin capital letter d overdot","short":"cap d overdot"},"mathspeak":{"default":"modifying above upper D with dot","brief":"mod above upper D with dot","sbrief":"mod above upper D with dot"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"latin capital letter d with dot below","alternative":"latin capital letter d underdot","short":"cap d underdot"},"mathspeak":{"default":"modifying below upper D with dot","brief":"mod below upper D with dot","sbrief":"mod below upper D with dot"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"latin capital letter d with line below","alternative":"latin capital letter d underbar","short":"cap d underbar"},"mathspeak":{"default":"upper D underbar","brief":"upper D underbar","sbrief":"upper D underbar"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"latin capital letter d with cedilla","alternative":"latin capital letter d cedilla","short":"cap d cedilla"},"mathspeak":{"default":"modifying above upper D with cedilla","brief":"mod above upper D with cedilla","sbrief":"mod above upper D with cedilla"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"latin capital letter d with circumflex below","alternative":"latin capital letter d underhat","short":"cap d underhat"},"mathspeak":{"default":"modifying below upper D with caret","brief":"mod below upper D with caret","sbrief":"mod below upper D with caret"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"latin capital letter e with circumflex below","alternative":"latin capital letter e underhat","short":"cap e underhat"},"mathspeak":{"default":"modifying below upper E with caret","brief":"mod below upper E with caret","sbrief":"mod below upper E with caret"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"latin capital letter e with tilde below","alternative":"latin capital letter e tilde below","short":"cap e tilde below"},"mathspeak":{"default":"upper E undertilde","brief":"upper E undertilde","sbrief":"upper E undertilde"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"latin capital letter f with dot above","alternative":"latin capital letter f overdot","short":"cap f overdot"},"mathspeak":{"default":"modifying above upper F with dot","brief":"mod above upper F with dot","sbrief":"mod above upper F with dot"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"latin capital letter g with macron","alternative":"latin capital letter g overbar","short":"cap g overbar"},"mathspeak":{"default":"upper G overbar","brief":"upper G overbar","sbrief":"upper G overbar"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"latin capital letter h with dot above","alternative":"latin capital letter h overdot","short":"cap h overdot"},"mathspeak":{"default":"modifying above upper H with dot","brief":"mod above upper H with dot","sbrief":"mod above upper H with dot"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"latin capital letter h with dot below","alternative":"latin capital letter h underdot","short":"cap h underdot"},"mathspeak":{"default":"modifying below upper H with dot","brief":"mod below upper H with dot","sbrief":"mod below upper H with dot"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"latin capital letter h with diaeresis","alternative":"latin capital letter h double overdot","short":"cap h double overdot"},"mathspeak":{"default":"modifying above upper H with double dot","brief":"mod above upper H with double dot","sbrief":"mod above upper H with double dot"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"latin capital letter h with cedilla","alternative":"latin capital letter h cedilla","short":"cap h cedilla"},"mathspeak":{"default":"modifying above upper H with cedilla","brief":"mod above upper H with cedilla","sbrief":"mod above upper H with cedilla"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"latin capital letter h with breve below","alternative":"latin capital letter h breve below","short":"cap h breve below"},"mathspeak":{"default":"modifying below upper H with breve below","brief":"mod below upper H with breve below","sbrief":"mod below upper H with breve below"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"latin capital letter i with tilde below","alternative":"latin capital letter i tilde below","short":"cap i tilde below"},"mathspeak":{"default":"upper I undertilde","brief":"upper I undertilde","sbrief":"upper I undertilde"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"latin capital letter k with acute","alternative":"latin capital letter k acute","short":"cap k acute"},"mathspeak":{"default":"modifying above upper K with acute","brief":"mod above upper K with acute","sbrief":"mod above upper K with acute"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"latin capital letter k with dot below","alternative":"latin capital letter k underdot","short":"cap k underdot"},"mathspeak":{"default":"modifying below upper K with dot","brief":"mod below upper K with dot","sbrief":"mod below upper K with dot"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"latin capital letter k with line below","alternative":"latin capital letter k underbar","short":"cap k underbar"},"mathspeak":{"default":"upper K underbar","brief":"upper K underbar","sbrief":"upper K underbar"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"latin capital letter l with dot below","alternative":"latin capital letter l underdot","short":"cap l underdot"},"mathspeak":{"default":"modifying below upper L with dot","brief":"mod below upper L with dot","sbrief":"mod below upper L with dot"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"latin capital letter l with line below","alternative":"latin capital letter l underbar","short":"cap l underbar"},"mathspeak":{"default":"upper L underbar","brief":"upper L underbar","sbrief":"upper L underbar"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"latin capital letter l with circumflex below","alternative":"latin capital letter l underhat","short":"cap l underhat"},"mathspeak":{"default":"modifying below upper L with caret","brief":"mod below upper L with caret","sbrief":"mod below upper L with caret"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"latin capital letter m with acute","alternative":"latin capital letter m acute","short":"cap m acute"},"mathspeak":{"default":"modifying above upper M with acute","brief":"mod above upper M with acute","sbrief":"mod above upper M with acute"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"latin capital letter m with dot above","alternative":"latin capital letter m overdot","short":"cap m overdot"},"mathspeak":{"default":"modifying above upper M with dot","brief":"mod above upper M with dot","sbrief":"mod above upper M with dot"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"latin capital letter m with dot below","alternative":"latin capital letter m underdot","short":"cap m underdot"},"mathspeak":{"default":"modifying below upper M with dot","brief":"mod below upper M with dot","sbrief":"mod below upper M with dot"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"latin capital letter n with dot above","alternative":"latin capital letter n overdot","short":"cap n overdot"},"mathspeak":{"default":"modifying above upper N with dot","brief":"mod above upper N with dot","sbrief":"mod above upper N with dot"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"latin capital letter n with dot below","alternative":"latin capital letter n underdot","short":"cap n underdot"},"mathspeak":{"default":"modifying below upper N with dot","brief":"mod below upper N with dot","sbrief":"mod below upper N with dot"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"latin capital letter n with line below","alternative":"latin capital letter n underbar","short":"cap n underbar"},"mathspeak":{"default":"upper N underbar","brief":"upper N underbar","sbrief":"upper N underbar"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"latin capital letter n with circumflex below","alternative":"latin capital letter n underhat","short":"cap n underhat"},"mathspeak":{"default":"modifying below upper N with caret","brief":"mod below upper N with caret","sbrief":"mod below upper N with caret"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"latin capital letter p with acute","alternative":"latin capital letter p acute","short":"cap p acute"},"mathspeak":{"default":"modifying above upper P with acute","brief":"mod above upper P with acute","sbrief":"mod above upper P with acute"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"latin capital letter p with dot above","alternative":"latin capital letter p overdot","short":"cap p overdot"},"mathspeak":{"default":"modifying above upper P with dot","brief":"mod above upper P with dot","sbrief":"mod above upper P with dot"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"latin capital letter r with dot above","alternative":"latin capital letter r overdot","short":"cap r overdot"},"mathspeak":{"default":"modifying above upper R with dot","brief":"mod above upper R with dot","sbrief":"mod above upper R with dot"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"latin capital letter r with dot below","alternative":"latin capital letter r underdot","short":"cap r underdot"},"mathspeak":{"default":"modifying below upper R with dot","brief":"mod below upper R with dot","sbrief":"mod below upper R with dot"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"latin capital letter r with line below","alternative":"latin capital letter r underbar","short":"cap r underbar"},"mathspeak":{"default":"upper R underbar","brief":"upper R underbar","sbrief":"upper R underbar"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"latin capital letter s with dot above","alternative":"latin capital letter s overdot","short":"cap s overdot"},"mathspeak":{"default":"modifying above upper S with dot","brief":"mod above upper S with dot","sbrief":"mod above upper S with dot"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"latin capital letter s with dot below","alternative":"latin capital letter s underdot","short":"cap s underdot"},"mathspeak":{"default":"modifying below upper S with dot","brief":"mod below upper S with dot","sbrief":"mod below upper S with dot"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"latin capital letter t with dot above","alternative":"latin capital letter t overdot","short":"cap t overdot"},"mathspeak":{"default":"modifying above upper T with dot","brief":"mod above upper T with dot","sbrief":"mod above upper T with dot"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"latin capital letter t with dot below","alternative":"latin capital letter t underdot","short":"cap t underdot"},"mathspeak":{"default":"modifying below upper T with dot","brief":"mod below upper T with dot","sbrief":"mod below upper T with dot"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"latin capital letter t with line below","alternative":"latin capital letter t underbar","short":"cap t underbar"},"mathspeak":{"default":"upper T underbar","brief":"upper T underbar","sbrief":"upper T underbar"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"latin capital letter t with circumflex below","alternative":"latin capital letter t underhat","short":"cap t underhat"},"mathspeak":{"default":"modifying below upper T with caret","brief":"mod below upper T with caret","sbrief":"mod below upper T with caret"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"latin capital letter u with diaeresis below","alternative":"latin capital letter u double underdot","short":"cap u double underdot"},"mathspeak":{"default":"modifying below upper U with double dot","brief":"mod below upper U with double dot","sbrief":"mod below upper U with double dot"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"latin capital letter u with tilde below","alternative":"latin capital letter u tilde below","short":"cap u tilde below"},"mathspeak":{"default":"upper U undertilde","brief":"upper U undertilde","sbrief":"upper U undertilde"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"latin capital letter u with circumflex below","alternative":"latin capital letter u underhat","short":"cap u underhat"},"mathspeak":{"default":"modifying below upper U with caret","brief":"mod below upper U with caret","sbrief":"mod below upper U with caret"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"latin capital letter v with tilde","alternative":"latin capital letter v tilde","short":"cap v tilde"},"mathspeak":{"default":"upper V overtilde","brief":"upper V overtilde","sbrief":"upper V overtilde"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"latin capital letter v with dot below","alternative":"latin capital letter v underdot","short":"cap v underdot"},"mathspeak":{"default":"modifying below upper V with dot","brief":"mod below upper V with dot","sbrief":"mod below upper V with dot"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"latin capital letter w with grave","alternative":"latin capital letter w grave","short":"cap w grave"},"mathspeak":{"default":"modifying above upper W with grave","brief":"mod above upper W with grave","sbrief":"mod above upper W with grave"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"latin capital letter w with acute","alternative":"latin capital letter w acute","short":"cap w acute"},"mathspeak":{"default":"modifying above upper W with acute","brief":"mod above upper W with acute","sbrief":"mod above upper W with acute"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"latin capital letter w with diaeresis","alternative":"latin capital letter w double overdot","short":"cap w double overdot"},"mathspeak":{"default":"modifying above upper W with double dot","brief":"mod above upper W with double dot","sbrief":"mod above upper W with double dot"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"latin capital letter w with dot above","alternative":"latin capital letter w overdot","short":"cap w overdot"},"mathspeak":{"default":"modifying above upper W with dot","brief":"mod above upper W with dot","sbrief":"mod above upper W with dot"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"latin capital letter w with dot below","alternative":"latin capital letter w underdot","short":"cap w underdot"},"mathspeak":{"default":"modifying below upper W with dot","brief":"mod below upper W with dot","sbrief":"mod below upper W with dot"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"latin capital letter x with dot above","alternative":"latin capital letter x overdot","short":"cap x overdot"},"mathspeak":{"default":"modifying above upper X with dot","brief":"mod above upper X with dot","sbrief":"mod above upper X with dot"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"latin capital letter x with diaeresis","alternative":"latin capital letter x double overdot","short":"cap x double overdot"},"mathspeak":{"default":"modifying above upper X with double dot","brief":"mod above upper X with double dot","sbrief":"mod above upper X with double dot"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"latin capital letter y with dot above","alternative":"latin capital letter y overdot","short":"cap y overdot"},"mathspeak":{"default":"modifying above upper Y with dot","brief":"mod above upper Y with dot","sbrief":"mod above upper Y with dot"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"latin capital letter z with circumflex","alternative":"latin capital letter z circumflex","short":"cap z circumflex"},"mathspeak":{"default":"modifying above upper Z with circumflex","brief":"mod above upper Z with circumflex","sbrief":"mod above upper Z with circumflex"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"latin capital letter z with dot below","alternative":"latin capital letter z underdot","short":"cap z underdot"},"mathspeak":{"default":"modifying below upper Z with dot","brief":"mod below upper Z with dot","sbrief":"mod below upper Z with dot"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"latin capital letter z with line below","alternative":"latin capital letter z underbar","short":"cap z underbar"},"mathspeak":{"default":"upper Z underbar","brief":"upper Z underbar","sbrief":"upper Z underbar"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"latin capital letter with a dot below","alternative":"latin capital letter with a underdot","short":"cap a underdot"},"mathspeak":{"default":"modifying below upper A with dot","brief":"mod below upper A with dot","sbrief":"mod below upper A with dot"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"latin capital letter a with hook above","alternative":"latin capital letter a hook","short":"cap a hook"},"mathspeak":{"default":"modifying above upper A with hook","brief":"mod above upper A with hook","sbrief":"mod above upper A with hook"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"latin capital letter e with dot below","alternative":"latin capital letter e underdot","short":"cap e underdot"},"mathspeak":{"default":"modifying below upper E with dot","brief":"mod below upper E with dot","sbrief":"mod below upper E with dot"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"latin capital letter e with hook above","alternative":"latin capital letter e hook","short":"cap e hook"},"mathspeak":{"default":"modifying above upper E with hook","brief":"mod above upper E with hook","sbrief":"mod above upper E with hook"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"latin capital letter e with tilde","alternative":"latin capital letter e tilde","short":"cap e tilde"},"mathspeak":{"default":"upper E overtilde","brief":"upper E overtilde","sbrief":"upper E overtilde"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"latin capital letter i with hook above","alternative":"latin capital letter i hook","short":"cap i hook"},"mathspeak":{"default":"modifying above upper I with hook","brief":"mod above upper I with hook","sbrief":"mod above upper I with hook"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"latin capital letter i with dot below","alternative":"latin capital letter i underdot","short":"cap i underdot"},"mathspeak":{"default":"modifying below upper I with dot","brief":"mod below upper I with dot","sbrief":"mod below upper I with dot"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"latin capital letter o with dot below","alternative":"latin capital letter o underdot","short":"cap o underdot"},"mathspeak":{"default":"modifying below upper O with dot","brief":"mod below upper O with dot","sbrief":"mod below upper O with dot"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"latin capital letter o with hook above","alternative":"latin capital letter o hook","short":"cap o hook"},"mathspeak":{"default":"modifying above upper O with hook","brief":"mod above upper O with hook","sbrief":"mod above upper O with hook"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"latin capital letter u with dot below","alternative":"latin capital letter u underdot","short":"cap u underdot"},"mathspeak":{"default":"modifying below upper U with dot","brief":"mod below upper U with dot","sbrief":"mod below upper U with dot"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"latin capital letter u with hook above","alternative":"latin capital letter u hook","short":"cap u hook"},"mathspeak":{"default":"modifying above upper U with hook","brief":"mod above upper U with hook","sbrief":"mod above upper U with hook"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"latin capital letter y with grave","alternative":"latin capital letter y grave","short":"cap y grave"},"mathspeak":{"default":"modifying above upper Y with grave","brief":"mod above upper Y with grave","sbrief":"mod above upper Y with grave"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"latin capital letter y with dot below","alternative":"latin capital letter y underdot","short":"cap y underdot"},"mathspeak":{"default":"modifying below upper Y with dot","brief":"mod below upper Y with dot","sbrief":"mod below upper Y with dot"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"latin capital letter y with hook above","alternative":"latin capital letter y hook","short":"cap y hook"},"mathspeak":{"default":"modifying above upper Y with hook","brief":"mod above upper Y with hook","sbrief":"mod above upper Y with hook"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"latin capital letter y with tilde","alternative":"latin capital letter y tilde","short":"cap y tilde"},"mathspeak":{"default":"upper Y overtilde","brief":"upper Y overtilde","sbrief":"upper Y overtilde"}}}]
+"de/units/temperature.js": 
+[{"locale":"de"},{"key":"F","mappings":{"default":{"default":"Farad"}},"category":"temperature","names":["F","F.","°F"]},{"key":"C","mappings":{"default":{"default":"Celsius"}},"category":"temperature","names":["C","°C"]},{"key":"K","mappings":{"default":{"default":"Kelvin"}},"category":"temperature","names":["K","°K"]}]
 ,
-"en/math_angles.js": 
+"de/units/time.js": 
+[{"locale":"de"},{"category":"time","mappings":{"default":{"default":"Nanosekunde"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"Microsekunde"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"Millisekunde"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"Sekunde"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"Minute"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"Stunde"}},"key":"h","names":["h","hr"]}]
+,
+"de/units/volume.js": 
+[{"locale":"de"},{"category":"volume","mappings":{"default":{"default":"Kubik"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"Kubikinch"}},"key":"cu inch","names":["cu in","cu. in."]},{"category":"volume","mappings":{"default":{"default":"Kubikfuß"}},"key":"cu ft","names":["cu ft","cu. ft."]},{"category":"volume","mappings":{"default":{"default":"Kubikyard"}},"key":"cu yd","names":["cu yd","cu. yd."]},{"key":"bbl","mappings":{"default":{"default":"Fass"}},"category":"volume","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"Fluid ounce"}},"key":"fl. oz.","names":["fl. oz.","fl oz"]},{"key":"gal","mappings":{"default":{"plural":"Gallonen","default":"Gallone"}},"category":"volume","names":["gal","gal."]},{"key":"pt","mappings":{"default":{"default":"Pint"}},"category":"volume","names":["pt","pt."]},{"key":"qt","mappings":{"default":{"plural":"Quarts","default":"Quart"}},"category":"volume","names":["qt","qt."]},{"key":"tbsp","mappings":{"default":{"default":"Esslöffel"}},"category":"volume","names":["tbsp","tbsp.","Tbsp","Tbsp."]},{"key":"tsp","mappings":{"default":{"default":"Teelöffel"}},"category":"volume","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"Kubikzentimeter"}},"key":"cc","names":["cc","ccm"]},{"category":"volume","mappings":{"default":{"default":"Kiloliter"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"Liter"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"Milliliter"}},"key":"ml","names":["ml"]}]
+,
+"de/units/weight.js": 
+[{"locale":"de"},{"key":"lb","mappings":{"default":{"default":"Pfund"}},"category":"weight","names":["lb","lb."]},{"key":"oz","mappings":{"default":{"plural":"Unzen","default":"Unze"}},"category":"weight","names":["oz","oz."]},{"category":"weight","mappings":{"default":{"default":"Long ton"}},"key":"LT","names":["LT","L.T."]},{"key":"gr","mappings":{"default":{"default":"Gramm"}},"category":"weight","names":["g","gr"]},{"category":"weight","mappings":{"default":{"default":"Kilogramm"}},"key":"kg","names":["kg"]},{"category":"weight","mappings":{"default":{"default":"Mikrogramm"}},"key":"mcg","names":["mcg","µg"]},{"category":"weight","mappings":{"default":{"default":"Milligramm"}},"key":"mg","names":["mg"]},{"key":"t","mappings":{"default":{"plural":"Tonnen","default":"Tonne"}},"category":"weight","names":["t","T"]}]
+,
+"en/functions/algebra.js": 
+[{"locale":"en"},{"category":"Algebra","mappings":{"default":{"default":"degree"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"determinant"},"mathspeak":{"default":"det"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphism"},"mathspeak":{"default":"hom"},"clearspeak":{"default":"hom"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"kernel"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]
+,
+"en/functions/elementary.js": 
+[{"locale":"en"},{"category":"Logarithm","mappings":{"default":{"default":"log"}},"key":"log","names":["log"]},{"category":"Logarithm","mappings":{"default":{"default":"natural log"},"mathspeak":{"default":"ln"},"clearspeak":{"default":"l n","Log_LnAsNaturalLog":"natural log"}},"key":"ln","names":["ln"]},{"category":"Logarithm","mappings":{"default":{"default":"log base 10"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"exponential"},"mathspeak":{"default":"exp"},"clearspeak":{"default":"exp"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"greatest common divisor"},"mathspeak":{"default":"gcd"},"clearspeak":{"default":"gcd"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"least common multiple"},"mathspeak":{"default":"lcm"},"clearspeak":{"default":"lcm"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"argument"},"mathspeak":{"default":"arg"},"clearspeak":{"default":"arg"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"imaginary part"},"mathspeak":{"default":"im"},"clearspeak":{"default":"imaginary"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"real part"},"mathspeak":{"default":"re"},"clearspeak":{"default":"real"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"infimum"},"mathspeak":{"default":"inf"},"clearspeak":{"default":"inf"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"limit"},"mathspeak":{"default":"limit"},"clearspeak":{"default":"lim"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"limit inferior"},"mathspeak":{"default":"liminf"},"clearspeak":{"default":"liminf"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"limit superior"},"mathspeak":{"default":"limsup"},"clearspeak":{"default":"limsup"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"maximum"},"mathspeak":{"default":"max"},"clearspeak":{"default":"max"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"minimum"},"mathspeak":{"default":"min"},"clearspeak":{"default":"min"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"supremum"},"mathspeak":{"default":"sup"},"clearspeak":{"default":"sup"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"colimit"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"projective limit"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"modulo"},"mathspeak":{"default":"mod"},"clearspeak":{"default":"mod"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"probability"}},"key":"Pr","names":["Pr"]}]
+,
+"en/functions/hyperbolic.js": 
+[{"locale":"en"},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosine"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cotangent"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic cosecant"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic secant"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic sine"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"hyperbolic tangent"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic cosine"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic cotangent"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic cosecant"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic secant"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic sine"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"area hyperbolic tangent"}},"key":"artanh","names":["artanh","arctanh"]}]
+,
+"en/functions/trigonometry.js": 
+[{"locale":"en"},{"category":"Trigonometric","mappings":{"default":{"default":"cosine"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"cotangent"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"cosecant"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"secant"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"sine"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"tangent"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosine"},"clearspeak":{"Trig_TrigInverse":"cosine inverse"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cotangent"},"clearspeak":{"Trig_TrigInverse":"cotangent inverse"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosecant"},"clearspeak":{"Trig_TrigInverse":"cosecant inverse"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc secant"},"clearspeak":{"Trig_TrigInverse":"secant inverse"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc sine"},"clearspeak":{"Trig_TrigInverse":"sine inverse"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc tangent"},"clearspeak":{"Trig_TrigInverse":"tangent inverse"}},"key":"arctan","names":["arctan"]}]
+,
+"en/symbols/digits_rest.js": 
+[{"locale":"en"},{"category":"No","mappings":{"default":{"default":"squared"},"mathspeak":{"default":"squared"},"clearspeak":{"default":"squared"}},"key":"00B2"},{"category":"No","mappings":{"default":{"default":"cubed"},"mathspeak":{"default":"cubed"},"clearspeak":{"default":"cubed"}},"key":"00B3"},{"category":"No","mappings":{"default":{"default":"one quarter"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"one half"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"three quarters"}},"key":"00BE"},{"category":"No","mappings":{"default":{"default":"one seventh"}},"key":"2150"},{"category":"No","mappings":{"default":{"default":"one ninth"}},"key":"2151"},{"category":"No","mappings":{"default":{"default":"one tenth"}},"key":"2152"},{"category":"No","mappings":{"default":{"default":"one third"}},"key":"2153"},{"category":"No","mappings":{"default":{"default":"two thirds"}},"key":"2154"},{"category":"No","mappings":{"default":{"default":"one fifth"}},"key":"2155"},{"category":"No","mappings":{"default":{"default":"two fifths"}},"key":"2156"},{"category":"No","mappings":{"default":{"default":"three fifths"}},"key":"2157"},{"category":"No","mappings":{"default":{"default":"four fifths"}},"key":"2158"},{"category":"No","mappings":{"default":{"default":"one sixth"}},"key":"2159"},{"category":"No","mappings":{"default":{"default":"five sixths"}},"key":"215A"},{"category":"No","mappings":{"default":{"default":"one eighth"}},"key":"215B"},{"category":"No","mappings":{"default":{"default":"three eighths"}},"key":"215C"},{"category":"No","mappings":{"default":{"default":"five eighths"}},"key":"215D"},{"category":"No","mappings":{"default":{"default":"seven eighths"}},"key":"215E"},{"category":"No","mappings":{"default":{"default":"numerator one"}},"key":"215F"},{"category":"No","mappings":{"default":{"default":"zero thirds"}},"key":"2189"},{"category":"No","mappings":{"default":{"default":"circled ten on black square"}},"key":"3248"},{"category":"No","mappings":{"default":{"default":"circled twenty on black square"}},"key":"3249"},{"category":"No","mappings":{"default":{"default":"circled thirty on black square"}},"key":"324A"},{"category":"No","mappings":{"default":{"default":"circled forty on black square"}},"key":"324B"},{"category":"No","mappings":{"default":{"default":"circled fifty on black square"}},"key":"324C"},{"category":"No","mappings":{"default":{"default":"circled sixty on black square"}},"key":"324D"},{"category":"No","mappings":{"default":{"default":"circled seventy on black square"}},"key":"324E"},{"category":"No","mappings":{"default":{"default":"circled eighty on black square"}},"key":"324F"}]
+,
+"en/symbols/greek-rest.js": 
+[{"locale":"en"},{"category":"Lu","key":"0394","mappings":{"clearspeak":{"default":"triangle","TriangleSymbol_Delta":"cap Delta"}}}]
+,
+"en/symbols/greek-scripts.js": 
+[{"locale":"en"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"small cap Gamma"},"mathspeak":{"default":"small upper Gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"small cap Lamda"},"mathspeak":{"default":"small upper Lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"small cap Pi"},"mathspeak":{"default":"small upper Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"small cap Rho"},"mathspeak":{"default":"small upper Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"small cap Psi"},"mathspeak":{"default":"small upper Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"superscript gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"superscript phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"subscript beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"subscript gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"subscript rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"subscript phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"subscript chi"}}}]
+,
+"en/symbols/greek-symbols.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"beta"}},"key":"03D0"},{"category":"Ll","mappings":{"default":{"default":"kai"}},"key":"03D7"},{"category":"Sm","mappings":{"default":{"default":"reversed epsilon"}},"key":"03F6"},{"category":"Lu","mappings":{"default":{"default":"bold cap Digamma"},"mathspeak":{"default":"bold upper Digamma"}},"key":"1D7CA"},{"category":"Ll","mappings":{"default":{"default":"bold digamma"}},"key":"1D7CB"}]
+,
+"en/symbols/hebrew_letters.js": 
+[{"locale":"en"},{"category":"Lo","mappings":{"default":{"default":"first transfinite cardinal","alternative":"alef"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"second transfinite cardinal","alternative":"bet"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"third transfinite cardinal","alternative":"gimel"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"fourth transfinite cardinal","alternative":"dalet"}},"key":"2138"}]
+,
+"en/symbols/latin-lower-double-accent.js": 
+[{"locale":"en"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u double overdot overbar"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u double overdot acute"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u double overdot caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u double overdot grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a double overdot overbar"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a overdot overbar"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o ogonek overbar"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a ring above acute"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o double overdot overbar"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o tilde overbar"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o overdot overbar"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"c cedilla acute"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"e overbar grave"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"e overbar acute"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"e cedilla breve"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"i double overdot acute"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"l underdot overbar"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"o tilde acute"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"o tilde double overdot"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"o overbar grave"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"o overbar acute"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"r underdot overbar"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"s acute overdot"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"s caron overdot"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"s underdot overdot"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"u tilde acute"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"u overbar double overdot"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"a hat acute"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"a hat grave"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"a hat hook above"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"a hat tilde"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"a hat underdot"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"a breve acute"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"a breve grave"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"a breve hook above"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"a breve tilde"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"a breve underdot"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"e hat acute"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"e hat grave"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"e hat hook above"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"e hat tilde"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"e hat underdot"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"o hat acute"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"o hat grave"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"o hat hook above"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"o hat tilde"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"o hat underdot"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"o acute prime"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"o grave prime"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"o hook above prime"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"o tilde prime"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"o underdot prime"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"u acute prime"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"u grave prime"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"u hook above prime"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"u tilde prime"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"u underdot prime"}}}]
+,
+"en/symbols/latin-lower-phonetic.js": 
+[{"locale":"en"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"o with stroke"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"d with stroke"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"h with stroke"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"l with stroke"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"t with stroke"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b with stroke"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"lambda with stroke"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z with stroke"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"latin letter inverted glottal stop with stroke"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g with stroke"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o with stroke and acute"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c with stroke"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"e with stroke"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j with stroke"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"r with stroke"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y with stroke"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"dotless j with stroke"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i with stroke"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"dotless j with stroke and hook"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"latin letter glottal stop with stroke"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"latin letter reversed glottal stop with stroke"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"sideways o with stroke"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota with stroke"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p with stroke"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon with stroke"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"long s with diagonal stroke"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"long s with high stroke"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"turned delta"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"long s with dot above"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta"}}},{"category":"Ll","key":"0138","mappings":{"default":{"default":"kra"}}},{"category":"Ll","key":"017F","mappings":{"default":{"default":"long s"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b with topbar"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"tone six"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c with hook"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d with topbar"}}},{"category":"Ll","key":"0192","mappings":{"default":{"default":"f with hook"}}},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k with hook"}}},{"category":"Ll","key":"019A","mappings":{"default":{"default":"l with bar"}}},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n with long right leg"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o with horn"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p with hook"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"tone two"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"latin letter reversed esh loop"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t with palatal hook"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t with hook"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u with horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y with hook"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"ezh reversed"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ezh with tail"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"tone five"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"latin letter wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz with caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae with macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ezh with caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lezh"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"ezh with curl"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"dezh digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"turned e"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae with acute"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d with curl"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z with hook"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l with curl"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n with curl"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t with curl"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"db digraph"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"qp digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s with swash tail"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z with swash tail"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"glottal stop"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q with hook tail"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"turned a"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"turned alpha"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b with hook"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"open o"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c with curl"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d with tail"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d with hook"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"reversed e"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"schwa with hook"}}},{"category":"Ll","key":"025B","mappings":{"default":{"default":"open e"}}},{"category":"Ll","key":"025C","mappings":{"default":{"default":"reversed open e"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"reversed open e with hook"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"closed reversed open e"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g with hook"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"script g"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"rams horn"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"turned h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h with hook"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"heng with hook"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l with middle tilde"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l with belt"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"l with retroflex hook"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"turned m"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"turned m with long leg"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m with hook"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n with left hook"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n with retroflex hook"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"barred o"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"closed omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"turned r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"turned r with long leg"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"turned r with hook"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"r with long leg"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"r with tail"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"r with fishhook"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"reversed r with fishhook"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"s with hook"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"squat reversed esh"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"esh with curl"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"turned t"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"t with retroflex hook"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"u bar"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"v with hook"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"turned v"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"turned w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"turned y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"z with retroflex hook"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z with curl"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"latin letter pharyngeal voiced fricative"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"latin letter inverted glottal stop"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"latin letter stretched c"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"latin letter bilabial click"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"closed open e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"turned k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q with hook"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"dz digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"dz digraph with curl"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"ts digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"tesh digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"tc digraph with curl"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"feng digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"ls digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"lz digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"latin letter bilabial percussive"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"latin letter bidental percussive"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"turned h with fishhook"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"turned h with fishhook and tail"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"turned ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"turned open e"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"turned i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"sideways o"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"sideways open o"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"turned oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"top half o"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"bottom half o"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"sideways u"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"sideways diaeresized u"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"sideways turned m"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"latin letter voiced laryngeal spirant"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"latin letter ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"b with middle tilde"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"d with middle tilde"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"f with middle tilde"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"m with middle tilde"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"n with middle tilde"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"p with middle tilde"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"r with middle tilde"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"r with fishhook and middle tilde"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"s with middle tilde"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"t with middle tilde"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z with middle tilde"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"turned g"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"insular g"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th with strikethrough"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"b with palatal hook"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"d with palatal hook"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"f with palatal hook"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"g with palatal hook"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"k with palatal hook"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"l with palatal hook"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"m with palatal hook"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"n with palatal hook"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"p with palatal hook"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"r with palatal hook"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"s with palatal hook"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"esh with palatal hook"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"v with palatal hook"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"x with palatal hook"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"z with palatal hook"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a with retroflex hook"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"alpha with retroflex hook"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"d with hook and tail"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"e with retroflex hook"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"open e with retroflex hook"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"reversed open e with retroflex hook"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"schwa with retroflex hook"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"i with retroflex hook"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"open o with retroflex hook"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"esh with retroflex hook"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"u with retroflex hook"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"ezh with retroflex hook"}}},{"category":"Ll","key":"0149","mappings":{"default":{"default":"n preceded by apostrophe"}}},{"category":"Ll","key":"014B","mappings":{"default":{"default":"eng"}}}]
+,
+"en/symbols/latin-lower-single-accent.js": 
+[{"locale":"en"},{"category":"Ll","key":"00E0","mappings":{"default":{"default":"a grave"},"mathspeak":{"default":"modifying above a with grave","brief":"mod above a with grave","sbrief":"mod above a with grave"}}},{"category":"Ll","key":"00E1","mappings":{"default":{"default":"a acute"},"mathspeak":{"default":"modifying above a with acute","brief":"mod above a with acute","sbrief":"mod above a with acute"}}},{"category":"Ll","key":"00E2","mappings":{"default":{"default":"a hat"},"mathspeak":{"default":"modifying above a with caret","brief":"mod above a with caret","sbrief":"mod above a with caret"}}},{"category":"Ll","key":"00E3","mappings":{"default":{"default":"a tilde"},"mathspeak":{"default":"a overtilde","brief":"a overtilde","sbrief":"a overtilde"}}},{"category":"Ll","key":"00E4","mappings":{"default":{"default":"a double overdot"},"mathspeak":{"default":"modifying above a with double dot","brief":"mod above a with double dot","sbrief":"mod above a with double dot"}}},{"category":"Ll","key":"00E5","mappings":{"default":{"default":"a ring"},"mathspeak":{"default":"modifying above a with ring","brief":"mod above a with ring","sbrief":"mod above a with ring"}}},{"category":"Ll","key":"00E7","mappings":{"default":{"default":"c cedilla"},"mathspeak":{"default":"modifying above c with cedilla","brief":"mod above c with cedilla","sbrief":"mod above c with cedilla"}}},{"category":"Ll","key":"00E8","mappings":{"default":{"default":"e grave"},"mathspeak":{"default":"modifying above e with grave","brief":"mod above e with grave","sbrief":"mod above e with grave"}}},{"category":"Ll","key":"00E9","mappings":{"default":{"default":"e acute"},"mathspeak":{"default":"modifying above e with acute","brief":"mod above e with acute","sbrief":"mod above e with acute"}}},{"category":"Ll","key":"00EA","mappings":{"default":{"default":"e hat"},"mathspeak":{"default":"modifying above e with caret","brief":"mod above e with caret","sbrief":"mod above e with caret"}}},{"category":"Ll","key":"00EB","mappings":{"default":{"default":"e double overdot"},"mathspeak":{"default":"modifying above e with double dot","brief":"mod above e with double dot","sbrief":"mod above e with double dot"}}},{"category":"Ll","key":"00EC","mappings":{"default":{"default":"i grave"},"mathspeak":{"default":"modifying above i with grave","brief":"mod above i with grave","sbrief":"mod above i with grave"}}},{"category":"Ll","key":"00ED","mappings":{"default":{"default":"i acute"},"mathspeak":{"default":"modifying above i with acute","brief":"mod above i with acute","sbrief":"mod above i with acute"}}},{"category":"Ll","key":"00EE","mappings":{"default":{"default":"i hat"},"mathspeak":{"default":"modifying above i with caret","brief":"mod above i with caret","sbrief":"mod above i with caret"}}},{"category":"Ll","key":"00EF","mappings":{"default":{"default":"i double overdot"},"mathspeak":{"default":"modifying above i with double dot","brief":"mod above i with double dot","sbrief":"mod above i with double dot"}}},{"category":"Ll","key":"00F1","mappings":{"default":{"default":"n tilde"},"mathspeak":{"default":"n overtilde","brief":"n overtilde","sbrief":"n overtilde"}}},{"category":"Ll","key":"00F2","mappings":{"default":{"default":"o grave"},"mathspeak":{"default":"modifying above o with grave","brief":"mod above o with grave","sbrief":"mod above o with grave"}}},{"category":"Ll","key":"00F3","mappings":{"default":{"default":"o acute"},"mathspeak":{"default":"modifying above o with acute","brief":"mod above o with acute","sbrief":"mod above o with acute"}}},{"category":"Ll","key":"00F4","mappings":{"default":{"default":"o hat"},"mathspeak":{"default":"modifying above o with caret","brief":"mod above o with caret","sbrief":"mod above o with caret"}}},{"category":"Ll","key":"00F5","mappings":{"default":{"default":"o tilde"},"mathspeak":{"default":"o overtilde","brief":"o overtilde","sbrief":"o overtilde"}}},{"category":"Ll","key":"00F6","mappings":{"default":{"default":"o double overdot"},"mathspeak":{"default":"modifying above o with double dot","brief":"mod above o with double dot","sbrief":"mod above o with double dot"}}},{"category":"Ll","key":"00F9","mappings":{"default":{"default":"u grave"},"mathspeak":{"default":"modifying above u with grave","brief":"mod above u with grave","sbrief":"mod above u with grave"}}},{"category":"Ll","key":"00FA","mappings":{"default":{"default":"u acute"},"mathspeak":{"default":"modifying above u with acute","brief":"mod above u with acute","sbrief":"mod above u with acute"}}},{"category":"Ll","key":"00FB","mappings":{"default":{"default":"u hat"},"mathspeak":{"default":"modifying above u with caret","brief":"mod above u with caret","sbrief":"mod above u with caret"}}},{"category":"Ll","key":"00FC","mappings":{"default":{"default":"u double overdot"},"mathspeak":{"default":"modifying above u with double dot","brief":"mod above u with double dot","sbrief":"mod above u with double dot"}}},{"category":"Ll","key":"00FD","mappings":{"default":{"default":"y acute"},"mathspeak":{"default":"modifying above y with acute","brief":"mod above y with acute","sbrief":"mod above y with acute"}}},{"category":"Ll","key":"00FF","mappings":{"default":{"default":"y double overdot"},"mathspeak":{"default":"modifying above y with double dot","brief":"mod above y with double dot","sbrief":"mod above y with double dot"}}},{"category":"Ll","key":"0101","mappings":{"default":{"default":"a overbar"},"mathspeak":{"default":"a overbar","brief":"a overbar","sbrief":"a overbar"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"a breve"},"mathspeak":{"default":"modifying above a with breve","brief":"mod above a with breve","sbrief":"mod above a with breve"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"a ogonek"},"mathspeak":{"default":"modifying above a with ogonek","brief":"mod above a with ogonek","sbrief":"mod above a with ogonek"}}},{"category":"Ll","key":"0107","mappings":{"default":{"default":"c acute"},"mathspeak":{"default":"modifying above c with acute","brief":"mod above c with acute","sbrief":"mod above c with acute"}}},{"category":"Ll","key":"0109","mappings":{"default":{"default":"c hat"},"mathspeak":{"default":"modifying above c with caret","brief":"mod above c with caret","sbrief":"mod above c with caret"}}},{"category":"Ll","key":"010B","mappings":{"default":{"default":"c overdot"},"mathspeak":{"default":"modifying above c with dot","brief":"mod above c with dot","sbrief":"mod above c with dot"}}},{"category":"Ll","key":"010D","mappings":{"default":{"default":"c caron"},"mathspeak":{"default":"modifying above c with caron","brief":"mod above c with caron","sbrief":"mod above c with caron"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"d caron"},"mathspeak":{"default":"modifying above d with caron","brief":"mod above d with caron","sbrief":"mod above d with caron"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"e overbar"},"mathspeak":{"default":"e overbar","brief":"e overbar","sbrief":"e overbar"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e breve"},"mathspeak":{"default":"modifying above e with breve","brief":"mod above e with breve","sbrief":"mod above e with breve"}}},{"category":"Ll","key":"0117","mappings":{"default":{"default":"e overdot"},"mathspeak":{"default":"modifying above e with dot","brief":"mod above e with dot","sbrief":"mod above e with dot"}}},{"category":"Ll","key":"0119","mappings":{"default":{"default":"e ogonek"},"mathspeak":{"default":"modifying above e with ogonek","brief":"mod above e with ogonek","sbrief":"mod above e with ogonek"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"e caron"},"mathspeak":{"default":"modifying above e with caron","brief":"mod above e with caron","sbrief":"mod above e with caron"}}},{"category":"Ll","key":"011D","mappings":{"default":{"default":"g hat"},"mathspeak":{"default":"modifying above g with caret","brief":"mod above g with caret","sbrief":"mod above g with caret"}}},{"category":"Ll","key":"011F","mappings":{"default":{"default":"g breve"},"mathspeak":{"default":"modifying above g with breve","brief":"mod above g with breve","sbrief":"mod above g with breve"}}},{"category":"Ll","key":"0121","mappings":{"default":{"default":"g overdot"},"mathspeak":{"default":"modifying above g with dot","brief":"mod above g with dot","sbrief":"mod above g with dot"}}},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g cedilla"},"mathspeak":{"default":"modifying above g with cedilla","brief":"mod above g with cedilla","sbrief":"mod above g with cedilla"}}},{"category":"Ll","key":"0125","mappings":{"default":{"default":"h hat"},"mathspeak":{"default":"modifying above h with caret","brief":"mod above h with caret","sbrief":"mod above h with caret"}}},{"category":"Ll","key":"0129","mappings":{"default":{"default":"i tilde"},"mathspeak":{"default":"i overtilde","brief":"i overtilde","sbrief":"i overtilde"}}},{"category":"Ll","key":"012B","mappings":{"default":{"default":"i overbar"},"mathspeak":{"default":"i overbar","brief":"i overbar","sbrief":"i overbar"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i breve"},"mathspeak":{"default":"modifying above i with breve","brief":"mod above i with breve","sbrief":"mod above i with breve"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"i ogonek"},"mathspeak":{"default":"modifying above i with ogonek","brief":"mod above i with ogonek","sbrief":"mod above i with ogonek"}}},{"category":"Ll","key":"0131","mappings":{"default":{"default":"dotless i"},"mathspeak":{"default":"modifying above dotless i","brief":"mod above dotless i","sbrief":"mod above dotless i"}}},{"category":"Ll","key":"0135","mappings":{"default":{"default":"j hat"},"mathspeak":{"default":"modifying above j with caret","brief":"mod above j with caret","sbrief":"mod above j with caret"}}},{"category":"Ll","key":"0137","mappings":{"default":{"default":"k cedilla"},"mathspeak":{"default":"modifying above k with cedilla","brief":"mod above k with cedilla","sbrief":"mod above k with cedilla"}}},{"category":"Ll","key":"013A","mappings":{"default":{"default":"l acute"},"mathspeak":{"default":"modifying above l with acute","brief":"mod above l with acute","sbrief":"mod above l with acute"}}},{"category":"Ll","key":"013C","mappings":{"default":{"default":"l cedilla"},"mathspeak":{"default":"modifying above l with cedilla","brief":"mod above l with cedilla","sbrief":"mod above l with cedilla"}}},{"category":"Ll","key":"013E","mappings":{"default":{"default":"l caron"},"mathspeak":{"default":"modifying above l with caron","brief":"mod above l with caron","sbrief":"mod above l with caron"}}},{"category":"Ll","key":"0140","mappings":{"default":{"default":"l middle dot"},"mathspeak":{"default":"modifying above l with middle dot","brief":"mod above l with middle dot","sbrief":"mod above l with middle dot"}}},{"category":"Ll","key":"0144","mappings":{"default":{"default":"n acute"},"mathspeak":{"default":"modifying above n with acute","brief":"mod above n with acute","sbrief":"mod above n with acute"}}},{"category":"Ll","key":"0146","mappings":{"default":{"default":"n cedilla"},"mathspeak":{"default":"modifying above n with cedilla","brief":"mod above n with cedilla","sbrief":"mod above n with cedilla"}}},{"category":"Ll","key":"0148","mappings":{"default":{"default":"n caron"},"mathspeak":{"default":"modifying above n with caron","brief":"mod above n with caron","sbrief":"mod above n with caron"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"o overbar"},"mathspeak":{"default":"o overbar","brief":"o overbar","sbrief":"o overbar"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o breve"},"mathspeak":{"default":"modifying above o with breve","brief":"mod above o with breve","sbrief":"mod above o with breve"}}},{"category":"Ll","key":"0151","mappings":{"default":{"default":"o double acute"},"mathspeak":{"default":"modifying above o with double acute","brief":"mod above o with double acute","sbrief":"mod above o with double acute"}}},{"category":"Ll","key":"0155","mappings":{"default":{"default":"r acute"},"mathspeak":{"default":"modifying above r with acute","brief":"mod above r with acute","sbrief":"mod above r with acute"}}},{"category":"Ll","key":"0157","mappings":{"default":{"default":"r cedilla"},"mathspeak":{"default":"modifying above r with cedilla","brief":"mod above r with cedilla","sbrief":"mod above r with cedilla"}}},{"category":"Ll","key":"0159","mappings":{"default":{"default":"r caron"},"mathspeak":{"default":"modifying above r with caron","brief":"mod above r with caron","sbrief":"mod above r with caron"}}},{"category":"Ll","key":"015B","mappings":{"default":{"default":"s acute"},"mathspeak":{"default":"modifying above s with acute","brief":"mod above s with acute","sbrief":"mod above s with acute"}}},{"category":"Ll","key":"015D","mappings":{"default":{"default":"s hat"},"mathspeak":{"default":"modifying above s with caret","brief":"mod above s with caret","sbrief":"mod above s with caret"}}},{"category":"Ll","key":"015F","mappings":{"default":{"default":"s cedilla"},"mathspeak":{"default":"modifying above s with cedilla","brief":"mod above s with cedilla","sbrief":"mod above s with cedilla"}}},{"category":"Ll","key":"0161","mappings":{"default":{"default":"s caron"},"mathspeak":{"default":"modifying above s with caron","brief":"mod above s with caron","sbrief":"mod above s with caron"}}},{"category":"Ll","key":"0163","mappings":{"default":{"default":"t cedilla"},"mathspeak":{"default":"modifying above t with cedilla","brief":"mod above t with cedilla","sbrief":"mod above t with cedilla"}}},{"category":"Ll","key":"0165","mappings":{"default":{"default":"t caron"},"mathspeak":{"default":"modifying above t with caron","brief":"mod above t with caron","sbrief":"mod above t with caron"}}},{"category":"Ll","key":"0169","mappings":{"default":{"default":"u tilde"},"mathspeak":{"default":"u overtilde","brief":"u overtilde","sbrief":"u overtilde"}}},{"category":"Ll","key":"016B","mappings":{"default":{"default":"u overbar"},"mathspeak":{"default":"u overbar","brief":"u overbar","sbrief":"u overbar"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"u breve"},"mathspeak":{"default":"modifying above u with breve","brief":"mod above u with breve","sbrief":"mod above u with breve"}}},{"category":"Ll","key":"016F","mappings":{"default":{"default":"u ring"},"mathspeak":{"default":"modifying above u with ring","brief":"mod above u with ring","sbrief":"mod above u with ring"}}},{"category":"Ll","key":"0171","mappings":{"default":{"default":"u double acute"},"mathspeak":{"default":"modifying above u with double acute","brief":"mod above u with double acute","sbrief":"mod above u with double acute"}}},{"category":"Ll","key":"0173","mappings":{"default":{"default":"u ogonek"},"mathspeak":{"default":"modifying above u with ogonek","brief":"mod above u with ogonek","sbrief":"mod above u with ogonek"}}},{"category":"Ll","key":"0175","mappings":{"default":{"default":"w hat"},"mathspeak":{"default":"modifying above w with caret","brief":"mod above w with caret","sbrief":"mod above w with caret"}}},{"category":"Ll","key":"0177","mappings":{"default":{"default":"y hat"},"mathspeak":{"default":"modifying above y with caret","brief":"mod above y with caret","sbrief":"mod above y with caret"}}},{"category":"Ll","key":"017A","mappings":{"default":{"default":"z acute"},"mathspeak":{"default":"modifying above z with acute","brief":"mod above z with acute","sbrief":"mod above z with acute"}}},{"category":"Ll","key":"017C","mappings":{"default":{"default":"z overdot"},"mathspeak":{"default":"modifying above z with dot","brief":"mod above z with dot","sbrief":"mod above z with dot"}}},{"category":"Ll","key":"017E","mappings":{"default":{"default":"z caron"},"mathspeak":{"default":"modifying above z with caron","brief":"mod above z with caron","sbrief":"mod above z with caron"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a caron"},"mathspeak":{"default":"modifying above a with caron","brief":"mod above a with caron","sbrief":"mod above a with caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i caron"},"mathspeak":{"default":"modifying above i with caron","brief":"mod above i with caron","sbrief":"mod above i with caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o caron"},"mathspeak":{"default":"modifying above o with caron","brief":"mod above o with caron","sbrief":"mod above o with caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u caron"},"mathspeak":{"default":"modifying above u with caron","brief":"mod above u with caron","sbrief":"mod above u with caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g caron"},"mathspeak":{"default":"modifying above g with caron","brief":"mod above g with caron","sbrief":"mod above g with caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k caron"},"mathspeak":{"default":"modifying above k with caron","brief":"mod above k with caron","sbrief":"mod above k with caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o ogonek"},"mathspeak":{"default":"modifying above o with ogonek","brief":"mod above o with ogonek","sbrief":"mod above o with ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j caron"},"mathspeak":{"default":"modifying above j with caron","brief":"mod above j with caron","sbrief":"mod above j with caron"}}},{"category":"Ll","key":"01F5","mappings":{"default":{"default":"g acute"},"mathspeak":{"default":"modifying above g with acute","brief":"mod above g with acute","sbrief":"mod above g with acute"}}},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n grave"},"mathspeak":{"default":"modifying above n with grave","brief":"mod above n with grave","sbrief":"mod above n with grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a double grave"},"mathspeak":{"default":"modifying above a with double grave","brief":"mod above a with double grave","sbrief":"mod above a with double grave"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a inverted breve"},"mathspeak":{"default":"modifying above a with inverted breve","brief":"mod above a with inverted breve","sbrief":"mod above a with inverted breve"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e double grave"},"mathspeak":{"default":"modifying above e with double grave","brief":"mod above e with double grave","sbrief":"mod above e with double grave"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e inverted breve"},"mathspeak":{"default":"modifying above e with inverted breve","brief":"mod above e with inverted breve","sbrief":"mod above e with inverted breve"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i double grave"},"mathspeak":{"default":"modifying above i with double grave","brief":"mod above i with double grave","sbrief":"mod above i with double grave"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i inverted breve"},"mathspeak":{"default":"modifying above i with inverted breve","brief":"mod above i with inverted breve","sbrief":"mod above i with inverted breve"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o double grave"},"mathspeak":{"default":"modifying above o with double grave","brief":"mod above o with double grave","sbrief":"mod above o with double grave"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o inverted breve"},"mathspeak":{"default":"modifying above o with inverted breve","brief":"mod above o with inverted breve","sbrief":"mod above o with inverted breve"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r double grave"},"mathspeak":{"default":"modifying above r with double grave","brief":"mod above r with double grave","sbrief":"mod above r with double grave"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r inverted breve"},"mathspeak":{"default":"modifying above r with inverted breve","brief":"mod above r with inverted breve","sbrief":"mod above r with inverted breve"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u double grave"},"mathspeak":{"default":"modifying above u with double grave","brief":"mod above u with double grave","sbrief":"mod above u with double grave"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u inverted breve"},"mathspeak":{"default":"modifying above u with inverted breve","brief":"mod above u with inverted breve","sbrief":"mod above u with inverted breve"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s comma below"},"mathspeak":{"default":"modifying below s with comma below","brief":"mod below s with comma below","sbrief":"mod below s with comma below"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t comma below"},"mathspeak":{"default":"modifying below t with comma below","brief":"mod below t with comma below","sbrief":"mod below t with comma below"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h caron"},"mathspeak":{"default":"modifying above h with caron","brief":"mod above h with caron","sbrief":"mod above h with caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"a overdot"},"mathspeak":{"default":"modifying above a with dot","brief":"mod above a with dot","sbrief":"mod above a with dot"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e cedilla"},"mathspeak":{"default":"modifying above e with cedilla","brief":"mod above e with cedilla","sbrief":"mod above e with cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o overdot"},"mathspeak":{"default":"modifying above o with dot","brief":"mod above o with dot","sbrief":"mod above o with dot"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y overbar"},"mathspeak":{"default":"y overbar","brief":"y overbar","sbrief":"y overbar"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"dotless j"},"mathspeak":{"default":"modifying above dotless j","brief":"mod above dotless j","sbrief":"mod above dotless j"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"a ring below"},"mathspeak":{"default":"modifying below a with ring below","brief":"mod below a with ring below","sbrief":"mod below a with ring below"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"b overdot"},"mathspeak":{"default":"modifying above b with dot","brief":"mod above b with dot","sbrief":"mod above b with dot"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"b underdot"},"mathspeak":{"default":"modifying below b with dot","brief":"mod below b with dot","sbrief":"mod below b with dot"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"b underbar"},"mathspeak":{"default":"b underbar","brief":"b underbar","sbrief":"b underbar"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"d overdot"},"mathspeak":{"default":"modifying above d with dot","brief":"mod above d with dot","sbrief":"mod above d with dot"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"d underdot"},"mathspeak":{"default":"modifying below d with dot","brief":"mod below d with dot","sbrief":"mod below d with dot"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"d underbar"},"mathspeak":{"default":"d underbar","brief":"d underbar","sbrief":"d underbar"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"d cedilla"},"mathspeak":{"default":"modifying above d with cedilla","brief":"mod above d with cedilla","sbrief":"mod above d with cedilla"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"d underhat"},"mathspeak":{"default":"modifying below d with caret","brief":"mod below d with caret","sbrief":"mod below d with caret"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"e underhat"},"mathspeak":{"default":"modifying below e with caret","brief":"mod below e with caret","sbrief":"mod below e with caret"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"e tilde below"},"mathspeak":{"default":"e undertilde","brief":"e undertilde","sbrief":"e undertilde"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"f overdot"},"mathspeak":{"default":"modifying above f with dot","brief":"mod above f with dot","sbrief":"mod above f with dot"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"g overbar"},"mathspeak":{"default":"g overbar","brief":"g overbar","sbrief":"g overbar"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"h overdot"},"mathspeak":{"default":"modifying above h with dot","brief":"mod above h with dot","sbrief":"mod above h with dot"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"h underdot"},"mathspeak":{"default":"modifying below h with dot","brief":"mod below h with dot","sbrief":"mod below h with dot"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"h double overdot"},"mathspeak":{"default":"modifying above h with double dot","brief":"mod above h with double dot","sbrief":"mod above h with double dot"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"h cedilla"},"mathspeak":{"default":"modifying above h with cedilla","brief":"mod above h with cedilla","sbrief":"mod above h with cedilla"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"h breve below"},"mathspeak":{"default":"modifying below h with breve below","brief":"mod below h with breve below","sbrief":"mod below h with breve below"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"i tilde below"},"mathspeak":{"default":"i undertilde","brief":"i undertilde","sbrief":"i undertilde"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"k acute"},"mathspeak":{"default":"modifying above k with acute","brief":"mod above k with acute","sbrief":"mod above k with acute"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"k underdot"},"mathspeak":{"default":"modifying below k with dot","brief":"mod below k with dot","sbrief":"mod below k with dot"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"k underbar"},"mathspeak":{"default":"k underbar","brief":"k underbar","sbrief":"k underbar"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"l underdot"},"mathspeak":{"default":"modifying below l with dot","brief":"mod below l with dot","sbrief":"mod below l with dot"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"l underbar"},"mathspeak":{"default":"l underbar","brief":"l underbar","sbrief":"l underbar"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"l underhat"},"mathspeak":{"default":"modifying below l with caret","brief":"mod below l with caret","sbrief":"mod below l with caret"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"m acute"},"mathspeak":{"default":"modifying above m with acute","brief":"mod above m with acute","sbrief":"mod above m with acute"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"m overdot"},"mathspeak":{"default":"modifying above m with dot","brief":"mod above m with dot","sbrief":"mod above m with dot"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"m underdot"},"mathspeak":{"default":"modifying below m with dot","brief":"mod below m with dot","sbrief":"mod below m with dot"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"n overdot"},"mathspeak":{"default":"modifying above n with dot","brief":"mod above n with dot","sbrief":"mod above n with dot"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"n underdot"},"mathspeak":{"default":"modifying below n with dot","brief":"mod below n with dot","sbrief":"mod below n with dot"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"n underbar"},"mathspeak":{"default":"n underbar","brief":"n underbar","sbrief":"n underbar"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"n underhat"},"mathspeak":{"default":"modifying below n with caret","brief":"mod below n with caret","sbrief":"mod below n with caret"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"p acute"},"mathspeak":{"default":"modifying above p with acute","brief":"mod above p with acute","sbrief":"mod above p with acute"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"p overdot"},"mathspeak":{"default":"modifying above p with dot","brief":"mod above p with dot","sbrief":"mod above p with dot"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"r overdot"},"mathspeak":{"default":"modifying above r with dot","brief":"mod above r with dot","sbrief":"mod above r with dot"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"r underdot"},"mathspeak":{"default":"modifying below r with dot","brief":"mod below r with dot","sbrief":"mod below r with dot"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"r underbar"},"mathspeak":{"default":"r underbar","brief":"r underbar","sbrief":"r underbar"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"s overdot"},"mathspeak":{"default":"modifying above s with dot","brief":"mod above s with dot","sbrief":"mod above s with dot"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"s underdot"},"mathspeak":{"default":"modifying below s with dot","brief":"mod below s with dot","sbrief":"mod below s with dot"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"t overdot"},"mathspeak":{"default":"modifying above t with dot","brief":"mod above t with dot","sbrief":"mod above t with dot"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"t underdot"},"mathspeak":{"default":"modifying below t with dot","brief":"mod below t with dot","sbrief":"mod below t with dot"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"t underbar"},"mathspeak":{"default":"t underbar","brief":"t underbar","sbrief":"t underbar"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"t underhat"},"mathspeak":{"default":"modifying below t with caret","brief":"mod below t with caret","sbrief":"mod below t with caret"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"u double underdot"},"mathspeak":{"default":"modifying below u with double dot","brief":"mod below u with double dot","sbrief":"mod below u with double dot"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"u tilde below"},"mathspeak":{"default":"u undertilde","brief":"u undertilde","sbrief":"u undertilde"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"u underhat"},"mathspeak":{"default":"modifying below u with caret","brief":"mod below u with caret","sbrief":"mod below u with caret"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"v tilde"},"mathspeak":{"default":"v overtilde","brief":"v overtilde","sbrief":"v overtilde"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"v underdot"},"mathspeak":{"default":"modifying below v with dot","brief":"mod below v with dot","sbrief":"mod below v with dot"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"w grave"},"mathspeak":{"default":"modifying above w with grave","brief":"mod above w with grave","sbrief":"mod above w with grave"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"w acute"},"mathspeak":{"default":"modifying above w with acute","brief":"mod above w with acute","sbrief":"mod above w with acute"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"w double overdot"},"mathspeak":{"default":"modifying above w with double dot","brief":"mod above w with double dot","sbrief":"mod above w with double dot"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"w overdot"},"mathspeak":{"default":"modifying above w with dot","brief":"mod above w with dot","sbrief":"mod above w with dot"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"w underdot"},"mathspeak":{"default":"modifying below w with dot","brief":"mod below w with dot","sbrief":"mod below w with dot"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"x overdot"},"mathspeak":{"default":"modifying above x with dot","brief":"mod above x with dot","sbrief":"mod above x with dot"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"x double overdot"},"mathspeak":{"default":"modifying above x with double dot","brief":"mod above x with double dot","sbrief":"mod above x with double dot"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"y overdot"},"mathspeak":{"default":"modifying above y with dot","brief":"mod above y with dot","sbrief":"mod above y with dot"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"z hat"},"mathspeak":{"default":"modifying above z with caret","brief":"mod above z with caret","sbrief":"mod above z with caret"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"z underdot"},"mathspeak":{"default":"modifying below z with dot","brief":"mod below z with dot","sbrief":"mod below z with dot"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"z underbar"},"mathspeak":{"default":"z underbar","brief":"z underbar","sbrief":"z underbar"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"h underbar"},"mathspeak":{"default":"h underbar","brief":"h underbar","sbrief":"h underbar"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"t double overdot"},"mathspeak":{"default":"modifying above t with double dot","brief":"mod above t with double dot","sbrief":"mod above t with double dot"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"w ring"},"mathspeak":{"default":"modifying above w with ring","brief":"mod above w with ring","sbrief":"mod above w with ring"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"y ring"},"mathspeak":{"default":"modifying above y with ring","brief":"mod above y with ring","sbrief":"mod above y with ring"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"a right half ring"},"mathspeak":{"default":"modifying above a with right half ring","brief":"mod above a with right half ring","sbrief":"mod above a with right half ring"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"a underdot"},"mathspeak":{"default":"modifying below a with dot","brief":"mod below a with dot","sbrief":"mod below a with dot"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"a hook"},"mathspeak":{"default":"modifying above a with hook","brief":"mod above a with hook","sbrief":"mod above a with hook"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"e underdot"},"mathspeak":{"default":"modifying below e with dot","brief":"mod below e with dot","sbrief":"mod below e with dot"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"e hook"},"mathspeak":{"default":"modifying above e with hook","brief":"mod above e with hook","sbrief":"mod above e with hook"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"e tilde"},"mathspeak":{"default":"e overtilde","brief":"e overtilde","sbrief":"e overtilde"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"i hook"},"mathspeak":{"default":"modifying above i with hook","brief":"mod above i with hook","sbrief":"mod above i with hook"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"i underdot"},"mathspeak":{"default":"modifying below i with dot","brief":"mod below i with dot","sbrief":"mod below i with dot"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"o underdot"},"mathspeak":{"default":"modifying below o with dot","brief":"mod below o with dot","sbrief":"mod below o with dot"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"o hook"},"mathspeak":{"default":"modifying above o with hook","brief":"mod above o with hook","sbrief":"mod above o with hook"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"u underdot"},"mathspeak":{"default":"modifying below u with dot","brief":"mod below u with dot","sbrief":"mod below u with dot"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"u hook"},"mathspeak":{"default":"modifying above u with hook","brief":"mod above u with hook","sbrief":"mod above u with hook"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"y grave"},"mathspeak":{"default":"modifying above y with grave","brief":"mod above y with grave","sbrief":"mod above y with grave"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"y underdot"},"mathspeak":{"default":"modifying below y with dot","brief":"mod below y with dot","sbrief":"mod below y with dot"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"y hook"},"mathspeak":{"default":"modifying above y with hook","brief":"mod above y with hook","sbrief":"mod above y with hook"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"y tilde"},"mathspeak":{"default":"y overtilde","brief":"y overtilde","sbrief":"y overtilde"}}}]
+,
+"en/symbols/latin-rest.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"italic h","physics":"planck constant"}},"key":"210E"},{"category":"Mn","key":"0363","mappings":{"default":{"default":"combining a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"combining e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"combining i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"combining o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"combining u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"combining c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"combining d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"combining h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"combining m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"combining r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"combining t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"combining v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"combining x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"subscript i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"subscript r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"subscript u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"subscript v"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"combining r below"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"combining flattened open a above"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"combining ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"combining ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"combining av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"combining c cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"combining insular d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"combining eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"combining g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"combining small cap G"},"mathspeak":{"default":"combining small upper G"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"combining k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"combining l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"combining small cap L"},"mathspeak":{"default":"combining small upper L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"combining small cap M"},"mathspeak":{"default":"combining small upper M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"combining n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"combining small cap N"},"mathspeak":{"default":"combining small upper N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"combining small cap R"},"mathspeak":{"default":"combining small upper R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"combining r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"combining s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"combining long s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"combining z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"superscript i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"superscript n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"subscript a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"subscript e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"subscript o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"subscript x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"subscript schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"subscript h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"subscript k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"subscript l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"subscript m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"subscript n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"subscript p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"subscript s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"subscript t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"subscript j"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"tortoise shell bracketed cap S"},"mathspeak":{"default":"tortoise shell bracketed upper S"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"circled italic cap C"},"mathspeak":{"default":"circled italic upper C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"circled italic cap R"},"mathspeak":{"default":"circled italic upper R"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"crossed negative squared cap P"},"mathspeak":{"default":"crossed negative squared upper P"}}}]
+,
+"en/symbols/latin-upper-double-accent.js": 
+[{"locale":"en"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"cap U double overdot overbar"},"mathspeak":{"default":"upper U double overdot overbar"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"cap U double overdot acute"},"mathspeak":{"default":"upper U double overdot acute"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"cap U double overdot caron"},"mathspeak":{"default":"upper U double overdot caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"cap U double overdot grave"},"mathspeak":{"default":"upper U double overdot grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"cap A double overdot overbar"},"mathspeak":{"default":"upper A double overdot overbar"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"cap A overdot overbar"},"mathspeak":{"default":"upper A overdot overbar"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"cap O ogonek overbar"},"mathspeak":{"default":"upper O ogonek overbar"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"cap A ring acute"},"mathspeak":{"default":"upper A ring acute"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"cap O double overdot overbar"},"mathspeak":{"default":"upper O double overdot overbar"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"cap O tilde overbar"},"mathspeak":{"default":"upper O tilde overbar"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"cap O overdot overbar"},"mathspeak":{"default":"upper O overdot overbar"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"cap C cedilla acute"},"mathspeak":{"default":"upper C cedilla acute"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"cap E overbar grave"},"mathspeak":{"default":"upper E overbar grave"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"cap E overbar acute"},"mathspeak":{"default":"upper E overbar acute"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"cap E cedilla breve"},"mathspeak":{"default":"upper E cedilla breve"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"cap I double overdot acute"},"mathspeak":{"default":"upper I double overdot acute"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"cap L underdot overbar"},"mathspeak":{"default":"upper L underdot overbar"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"cap O tilde acute"},"mathspeak":{"default":"upper O tilde acute"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"cap O tilde double overdot"},"mathspeak":{"default":"upper O tilde double overdot"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"cap O overbar grave"},"mathspeak":{"default":"upper O overbar grave"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"cap O overbar acute"},"mathspeak":{"default":"upper O overbar acute"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"cap R overbar underdot"},"mathspeak":{"default":"upper R overbar underdot"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"cap S acute overdot"},"mathspeak":{"default":"upper S acute overdot"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"cap S caron overdot"},"mathspeak":{"default":"upper S caron overdot"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"cap S underdot overdot"},"mathspeak":{"default":"upper S underdot overdot"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"cap U tilde acute"},"mathspeak":{"default":"upper U tilde acute"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"cap U overbar double overdot"},"mathspeak":{"default":"upper U overbar double overdot"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"cap A hat acute"},"mathspeak":{"default":"upper A hat acute"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"cap A hat grave"},"mathspeak":{"default":"upper A hat grave"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"cap A hat hook"},"mathspeak":{"default":"upper A hat hook"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"cap A hat tilde"},"mathspeak":{"default":"upper A hat tilde"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"cap A hat underdot"},"mathspeak":{"default":"upper A hat underdot"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"cap A breve acute"},"mathspeak":{"default":"upper A breve acute"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"cap A breve grave"},"mathspeak":{"default":"upper A breve grave"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"cap A breve hook"},"mathspeak":{"default":"upper A breve hook"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"cap A breve tilde"},"mathspeak":{"default":"upper A breve tilde"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"cap A breve underdot"},"mathspeak":{"default":"upper A breve underdot"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"cap E hat acute"},"mathspeak":{"default":"upper E hat acute"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"cap E hat grave"},"mathspeak":{"default":"upper E hat grave"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"cap E hat hook"},"mathspeak":{"default":"upper E hat hook"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"cap E hat tilde"},"mathspeak":{"default":"upper E hat tilde"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"cap E hat underdot"},"mathspeak":{"default":"upper E hat underdot"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"cap O hat acute"},"mathspeak":{"default":"upper O hat acute"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"cap O hat grave"},"mathspeak":{"default":"upper O hat grave"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"cap O hat hook"},"mathspeak":{"default":"upper O hat hook"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"cap O hat tilde"},"mathspeak":{"default":"upper O hat tilde"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"cap O hat underdot"},"mathspeak":{"default":"upper O hat underdot"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"cap O acute prime"},"mathspeak":{"default":"upper O acute prime"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"cap O grave prime"},"mathspeak":{"default":"upper O grave prime"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"cap O hook prime"},"mathspeak":{"default":"upper O hook prime"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"cap O tilde prime"},"mathspeak":{"default":"upper O tilde prime"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"cap O underdot prime"},"mathspeak":{"default":"upper O underdot prime"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"cap U acute prime"},"mathspeak":{"default":"upper U acute prime"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"cap U grave prime"},"mathspeak":{"default":"upper U grave prime"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"cap U hook prime"},"mathspeak":{"default":"upper U hook prime"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"cap U tilde prime"},"mathspeak":{"default":"upper U tilde prime"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"cap U underdot prime"},"mathspeak":{"default":"upper U underdot prime"}}}]
+,
+"en/symbols/latin-upper-single-accent.js": 
+[{"locale":"en"},{"category":"Lu","key":"00C0","mappings":{"default":{"default":"cap A grave"},"mathspeak":{"default":"modifying above upper A with grave","brief":"mod above upper A with grave","sbrief":"mod above upper A with grave"}}},{"category":"Lu","key":"00C1","mappings":{"default":{"default":"cap A acute"},"mathspeak":{"default":"modifying above upper A with acute","brief":"mod above upper A with acute","sbrief":"mod above upper A with acute"}}},{"category":"Lu","key":"00C2","mappings":{"default":{"default":"cap A hat"},"mathspeak":{"default":"modifying above upper A with caret","brief":"mod above upper A with caret","sbrief":"mod above upper A with caret"}}},{"category":"Lu","key":"00C3","mappings":{"default":{"default":"cap A tilde"},"mathspeak":{"default":"upper A overtilde","brief":"upper A overtilde","sbrief":"upper A overtilde"}}},{"category":"Lu","key":"00C4","mappings":{"default":{"default":"cap A double overdot"},"mathspeak":{"default":"modifying above upper A with double dot","brief":"mod above upper A with double dot","sbrief":"mod above upper A with double dot"}}},{"category":"Lu","key":"00C5","mappings":{"default":{"default":"cap A ring"},"mathspeak":{"default":"modifying above upper A with ring","brief":"mod above upper A with ring","sbrief":"mod above upper A with ring"}}},{"category":"Lu","key":"00C7","mappings":{"default":{"default":"cap C cedilla"},"mathspeak":{"default":"modifying above upper C with cedilla","brief":"mod above upper C with cedilla","sbrief":"mod above upper C with cedilla"}}},{"category":"Lu","key":"00C8","mappings":{"default":{"default":"cap E grave"},"mathspeak":{"default":"modifying above upper E with grave","brief":"mod above upper E with grave","sbrief":"mod above upper E with grave"}}},{"category":"Lu","key":"00C9","mappings":{"default":{"default":"cap E acute"},"mathspeak":{"default":"modifying above upper E with acute","brief":"mod above upper E with acute","sbrief":"mod above upper E with acute"}}},{"category":"Lu","key":"00CA","mappings":{"default":{"default":"cap E hat"},"mathspeak":{"default":"modifying above upper E with caret","brief":"mod above upper E with caret","sbrief":"mod above upper E with caret"}}},{"category":"Lu","key":"00CB","mappings":{"default":{"default":"cap E double overdot"},"mathspeak":{"default":"modifying above upper E with double dot","brief":"mod above upper E with double dot","sbrief":"mod above upper E with double dot"}}},{"category":"Lu","key":"00CC","mappings":{"default":{"default":"cap I grave"},"mathspeak":{"default":"modifying above upper I with grave","brief":"mod above upper I with grave","sbrief":"mod above upper I with grave"}}},{"category":"Lu","key":"00CD","mappings":{"default":{"default":"cap I acute"},"mathspeak":{"default":"modifying above upper I with acute","brief":"mod above upper I with acute","sbrief":"mod above upper I with acute"}}},{"category":"Lu","key":"00CE","mappings":{"default":{"default":"cap I hat"},"mathspeak":{"default":"modifying above upper I with caret","brief":"mod above upper I with caret","sbrief":"mod above upper I with caret"}}},{"category":"Lu","key":"00CF","mappings":{"default":{"default":"cap I double overdot"},"mathspeak":{"default":"modifying above upper I with double dot","brief":"mod above upper I with double dot","sbrief":"mod above upper I with double dot"}}},{"category":"Lu","key":"00D1","mappings":{"default":{"default":"cap N tilde"},"mathspeak":{"default":"upper N overtilde","brief":"upper N overtilde","sbrief":"upper N overtilde"}}},{"category":"Lu","key":"00D2","mappings":{"default":{"default":"cap O grave"},"mathspeak":{"default":"modifying above upper O with grave","brief":"mod above upper O with grave","sbrief":"mod above upper O with grave"}}},{"category":"Lu","key":"00D3","mappings":{"default":{"default":"cap O acute"},"mathspeak":{"default":"modifying above upper O with acute","brief":"mod above upper O with acute","sbrief":"mod above upper O with acute"}}},{"category":"Lu","key":"00D4","mappings":{"default":{"default":"cap O hat"},"mathspeak":{"default":"modifying above upper O with caret","brief":"mod above upper O with caret","sbrief":"mod above upper O with caret"}}},{"category":"Lu","key":"00D5","mappings":{"default":{"default":"cap O tilde"},"mathspeak":{"default":"upper O overtilde","brief":"upper O overtilde","sbrief":"upper O overtilde"}}},{"category":"Lu","key":"00D6","mappings":{"default":{"default":"cap O double overdot"},"mathspeak":{"default":"modifying above upper O with double dot","brief":"mod above upper O with double dot","sbrief":"mod above upper O with double dot"}}},{"category":"Lu","key":"00D9","mappings":{"default":{"default":"cap U grave"},"mathspeak":{"default":"modifying above upper U with grave","brief":"mod above upper U with grave","sbrief":"mod above upper U with grave"}}},{"category":"Lu","key":"00DA","mappings":{"default":{"default":"cap U acute"},"mathspeak":{"default":"modifying above upper U with acute","brief":"mod above upper U with acute","sbrief":"mod above upper U with acute"}}},{"category":"Lu","key":"00DB","mappings":{"default":{"default":"cap U hat"},"mathspeak":{"default":"modifying above upper U with caret","brief":"mod above upper U with caret","sbrief":"mod above upper U with caret"}}},{"category":"Lu","key":"00DC","mappings":{"default":{"default":"cap U double overdot"},"mathspeak":{"default":"modifying above upper U with double dot","brief":"mod above upper U with double dot","sbrief":"mod above upper U with double dot"}}},{"category":"Lu","key":"00DD","mappings":{"default":{"default":"cap Y acute"},"mathspeak":{"default":"modifying above upper Y with acute","brief":"mod above upper Y with acute","sbrief":"mod above upper Y with acute"}}},{"category":"Lu","key":"0100","mappings":{"default":{"default":"cap A overbar"},"mathspeak":{"default":"upper A overbar","brief":"upper A overbar","sbrief":"upper A overbar"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"cap A breve"},"mathspeak":{"default":"modifying above upper A with breve","brief":"mod above upper A with breve","sbrief":"mod above upper A with breve"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"cap A ogonek"},"mathspeak":{"default":"modifying above upper A with ogonek","brief":"mod above upper A with ogonek","sbrief":"mod above upper A with ogonek"}}},{"category":"Lu","key":"0106","mappings":{"default":{"default":"cap C acute"},"mathspeak":{"default":"modifying above upper C with acute","brief":"mod above upper C with acute","sbrief":"mod above upper C with acute"}}},{"category":"Lu","key":"0108","mappings":{"default":{"default":"cap C hat"},"mathspeak":{"default":"modifying above upper C with caret","brief":"mod above upper C with caret","sbrief":"mod above upper C with caret"}}},{"category":"Lu","key":"010A","mappings":{"default":{"default":"cap C overdot"},"mathspeak":{"default":"modifying above upper C with dot","brief":"mod above upper C with dot","sbrief":"mod above upper C with dot"}}},{"category":"Lu","key":"010C","mappings":{"default":{"default":"cap C caron"},"mathspeak":{"default":"modifying above upper C with caron","brief":"mod above upper C with caron","sbrief":"mod above upper C with caron"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"cap D caron"},"mathspeak":{"default":"modifying above upper D with caron","brief":"mod above upper D with caron","sbrief":"mod above upper D with caron"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"cap E overbar"},"mathspeak":{"default":"upper E overbar","brief":"upper E overbar","sbrief":"upper E overbar"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"cap E breve"},"mathspeak":{"default":"modifying above upper E with breve","brief":"mod above upper E with breve","sbrief":"mod above upper E with breve"}}},{"category":"Lu","key":"0116","mappings":{"default":{"default":"cap E overdot"},"mathspeak":{"default":"modifying above upper E with dot","brief":"mod above upper E with dot","sbrief":"mod above upper E with dot"}}},{"category":"Lu","key":"0118","mappings":{"default":{"default":"cap E ogonek"},"mathspeak":{"default":"modifying above upper E with ogonek","brief":"mod above upper E with ogonek","sbrief":"mod above upper E with ogonek"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"cap E caron"},"mathspeak":{"default":"modifying above upper E with caron","brief":"mod above upper E with caron","sbrief":"mod above upper E with caron"}}},{"category":"Lu","key":"011C","mappings":{"default":{"default":"cap G hat"},"mathspeak":{"default":"modifying above upper G with caret","brief":"mod above upper G with caret","sbrief":"mod above upper G with caret"}}},{"category":"Lu","key":"011E","mappings":{"default":{"default":"cap G breve"},"mathspeak":{"default":"modifying above upper G with breve","brief":"mod above upper G with breve","sbrief":"mod above upper G with breve"}}},{"category":"Lu","key":"0120","mappings":{"default":{"default":"cap G overdot"},"mathspeak":{"default":"modifying above upper G with dot","brief":"mod above upper G with dot","sbrief":"mod above upper G with dot"}}},{"category":"Lu","key":"0122","mappings":{"default":{"default":"cap G cedilla"},"mathspeak":{"default":"modifying above upper G with cedilla","brief":"mod above upper G with cedilla","sbrief":"mod above upper G with cedilla"}}},{"category":"Lu","key":"0124","mappings":{"default":{"default":"cap H hat"},"mathspeak":{"default":"modifying above upper H with caret","brief":"mod above upper H with caret","sbrief":"mod above upper H with caret"}}},{"category":"Lu","key":"0128","mappings":{"default":{"default":"cap I tilde"},"mathspeak":{"default":"upper I overtilde","brief":"upper I overtilde","sbrief":"upper I overtilde"}}},{"category":"Lu","key":"012A","mappings":{"default":{"default":"cap I overbar"},"mathspeak":{"default":"upper I overbar","brief":"upper I overbar","sbrief":"upper I overbar"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"cap I breve"},"mathspeak":{"default":"modifying above upper I with breve","brief":"mod above upper I with breve","sbrief":"mod above upper I with breve"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"cap I ogonek"},"mathspeak":{"default":"modifying above upper I with ogonek","brief":"mod above upper I with ogonek","sbrief":"mod above upper I with ogonek"}}},{"category":"Lu","key":"0130","mappings":{"default":{"default":"cap I overdot"},"mathspeak":{"default":"modifying above upper I with dot","brief":"mod above upper I with dot","sbrief":"mod above upper I with dot"}}},{"category":"Lu","key":"0134","mappings":{"default":{"default":"cap J hat"},"mathspeak":{"default":"modifying above upper J with caret","brief":"mod above upper J with caret","sbrief":"mod above upper J with caret"}}},{"category":"Lu","key":"0136","mappings":{"default":{"default":"cap K cedilla"},"mathspeak":{"default":"modifying above upper K with cedilla","brief":"mod above upper K with cedilla","sbrief":"mod above upper K with cedilla"}}},{"category":"Lu","key":"0139","mappings":{"default":{"default":"cap L acute"},"mathspeak":{"default":"modifying above upper L with acute","brief":"mod above upper L with acute","sbrief":"mod above upper L with acute"}}},{"category":"Lu","key":"013B","mappings":{"default":{"default":"cap L cedilla"},"mathspeak":{"default":"modifying above upper L with cedilla","brief":"mod above upper L with cedilla","sbrief":"mod above upper L with cedilla"}}},{"category":"Lu","key":"013D","mappings":{"default":{"default":"cap L caron"},"mathspeak":{"default":"modifying above upper L with caron","brief":"mod above upper L with caron","sbrief":"mod above upper L with caron"}}},{"category":"Lu","key":"013F","mappings":{"default":{"default":"cap L middle dot"},"mathspeak":{"default":"modifying above upper L with middle dot","brief":"mod above upper L with middle dot","sbrief":"mod above upper L with middle dot"}}},{"category":"Lu","key":"0143","mappings":{"default":{"default":"cap N acute"},"mathspeak":{"default":"modifying above upper N with acute","brief":"mod above upper N with acute","sbrief":"mod above upper N with acute"}}},{"category":"Lu","key":"0145","mappings":{"default":{"default":"cap N cedilla"},"mathspeak":{"default":"modifying above upper N with cedilla","brief":"mod above upper N with cedilla","sbrief":"mod above upper N with cedilla"}}},{"category":"Lu","key":"0147","mappings":{"default":{"default":"cap N caron"},"mathspeak":{"default":"modifying above upper N with caron","brief":"mod above upper N with caron","sbrief":"mod above upper N with caron"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"cap O overbar"},"mathspeak":{"default":"upper O overbar","brief":"upper O overbar","sbrief":"upper O overbar"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"cap O breve"},"mathspeak":{"default":"modifying above upper O with breve","brief":"mod above upper O with breve","sbrief":"mod above upper O with breve"}}},{"category":"Lu","key":"0150","mappings":{"default":{"default":"cap O double acute"},"mathspeak":{"default":"modifying above upper O with double acute","brief":"mod above upper O with double acute","sbrief":"mod above upper O with double acute"}}},{"category":"Lu","key":"0154","mappings":{"default":{"default":"cap R acute"},"mathspeak":{"default":"modifying above upper R with acute","brief":"mod above upper R with acute","sbrief":"mod above upper R with acute"}}},{"category":"Lu","key":"0156","mappings":{"default":{"default":"cap R cedilla"},"mathspeak":{"default":"modifying above upper R with cedilla","brief":"mod above upper R with cedilla","sbrief":"mod above upper R with cedilla"}}},{"category":"Lu","key":"0158","mappings":{"default":{"default":"cap R caron"},"mathspeak":{"default":"modifying above upper R with caron","brief":"mod above upper R with caron","sbrief":"mod above upper R with caron"}}},{"category":"Lu","key":"015A","mappings":{"default":{"default":"cap S acute"},"mathspeak":{"default":"modifying above upper S with acute","brief":"mod above upper S with acute","sbrief":"mod above upper S with acute"}}},{"category":"Lu","key":"015C","mappings":{"default":{"default":"cap S hat"},"mathspeak":{"default":"modifying above upper S with caret","brief":"mod above upper S with caret","sbrief":"mod above upper S with caret"}}},{"category":"Lu","key":"015E","mappings":{"default":{"default":"cap S cedilla"},"mathspeak":{"default":"modifying above upper S with cedilla","brief":"mod above upper S with cedilla","sbrief":"mod above upper S with cedilla"}}},{"category":"Lu","key":"0160","mappings":{"default":{"default":"cap S caron"},"mathspeak":{"default":"modifying above upper S with caron","brief":"mod above upper S with caron","sbrief":"mod above upper S with caron"}}},{"category":"Lu","key":"0162","mappings":{"default":{"default":"cap T cedilla"},"mathspeak":{"default":"modifying above upper T with cedilla","brief":"mod above upper T with cedilla","sbrief":"mod above upper T with cedilla"}}},{"category":"Lu","key":"0164","mappings":{"default":{"default":"cap T caron"},"mathspeak":{"default":"modifying above upper T with caron","brief":"mod above upper T with caron","sbrief":"mod above upper T with caron"}}},{"category":"Lu","key":"0168","mappings":{"default":{"default":"cap U tilde"},"mathspeak":{"default":"upper U overtilde","brief":"upper U overtilde","sbrief":"upper U overtilde"}}},{"category":"Lu","key":"016A","mappings":{"default":{"default":"cap U overbar"},"mathspeak":{"default":"upper U overbar","brief":"upper U overbar","sbrief":"upper U overbar"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"cap U breve"},"mathspeak":{"default":"modifying above upper U with breve","brief":"mod above upper U with breve","sbrief":"mod above upper U with breve"}}},{"category":"Lu","key":"016E","mappings":{"default":{"default":"cap U ring"},"mathspeak":{"default":"modifying above upper U with ring","brief":"mod above upper U with ring","sbrief":"mod above upper U with ring"}}},{"category":"Lu","key":"0170","mappings":{"default":{"default":"cap U double acute"},"mathspeak":{"default":"modifying above upper U with double acute","brief":"mod above upper U with double acute","sbrief":"mod above upper U with double acute"}}},{"category":"Lu","key":"0172","mappings":{"default":{"default":"cap U ogonek"},"mathspeak":{"default":"modifying above upper U with ogonek","brief":"mod above upper U with ogonek","sbrief":"mod above upper U with ogonek"}}},{"category":"Lu","key":"0174","mappings":{"default":{"default":"cap W hat"},"mathspeak":{"default":"modifying above upper W with caret","brief":"mod above upper W with caret","sbrief":"mod above upper W with caret"}}},{"category":"Lu","key":"0176","mappings":{"default":{"default":"cap Y hat"},"mathspeak":{"default":"modifying above upper Y with caret","brief":"mod above upper Y with caret","sbrief":"mod above upper Y with caret"}}},{"category":"Lu","key":"0178","mappings":{"default":{"default":"cap Y double overdot"},"mathspeak":{"default":"modifying above upper Y with double dot","brief":"mod above upper Y with double dot","sbrief":"mod above upper Y with double dot"}}},{"category":"Lu","key":"0179","mappings":{"default":{"default":"cap Z acute"},"mathspeak":{"default":"modifying above upper Z with acute","brief":"mod above upper Z with acute","sbrief":"mod above upper Z with acute"}}},{"category":"Lu","key":"017B","mappings":{"default":{"default":"cap Z overdot"},"mathspeak":{"default":"modifying above upper Z with dot","brief":"mod above upper Z with dot","sbrief":"mod above upper Z with dot"}}},{"category":"Lu","key":"017D","mappings":{"default":{"default":"cap Z caron"},"mathspeak":{"default":"modifying above upper Z with caron","brief":"mod above upper Z with caron","sbrief":"mod above upper Z with caron"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"cap A caron"},"mathspeak":{"default":"modifying above upper A with caron","brief":"mod above upper A with caron","sbrief":"mod above upper A with caron"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"cap I caron"},"mathspeak":{"default":"modifying above upper I with caron","brief":"mod above upper I with caron","sbrief":"mod above upper I with caron"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"cap O caron"},"mathspeak":{"default":"modifying above upper O with caron","brief":"mod above upper O with caron","sbrief":"mod above upper O with caron"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"cap U caron"},"mathspeak":{"default":"modifying above upper U with caron","brief":"mod above upper U with caron","sbrief":"mod above upper U with caron"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"cap G caron"},"mathspeak":{"default":"modifying above upper G with caron","brief":"mod above upper G with caron","sbrief":"mod above upper G with caron"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"cap K caron"},"mathspeak":{"default":"modifying above upper K with caron","brief":"mod above upper K with caron","sbrief":"mod above upper K with caron"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"cap O ogonek"},"mathspeak":{"default":"modifying above upper O with ogonek","brief":"mod above upper O with ogonek","sbrief":"mod above upper O with ogonek"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"cap G acute"},"mathspeak":{"default":"modifying above upper G with acute","brief":"mod above upper G with acute","sbrief":"mod above upper G with acute"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"cap N grave"},"mathspeak":{"default":"modifying above upper N with grave","brief":"mod above upper N with grave","sbrief":"mod above upper N with grave"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"cap A double grave"},"mathspeak":{"default":"modifying above upper A with double grave","brief":"mod above upper A with double grave","sbrief":"mod above upper A with double grave"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"cap A inverted breve"},"mathspeak":{"default":"modifying above upper A with inverted breve","brief":"mod above upper A with inverted breve","sbrief":"mod above upper A with inverted breve"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"cap E double grave"},"mathspeak":{"default":"modifying above upper E with double grave","brief":"mod above upper E with double grave","sbrief":"mod above upper E with double grave"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"cap E inverted breve"},"mathspeak":{"default":"modifying above upper E with inverted breve","brief":"mod above upper E with inverted breve","sbrief":"mod above upper E with inverted breve"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"cap I double grave"},"mathspeak":{"default":"modifying above upper I with double grave","brief":"mod above upper I with double grave","sbrief":"mod above upper I with double grave"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"cap I inverted breve"},"mathspeak":{"default":"modifying above upper I with inverted breve","brief":"mod above upper I with inverted breve","sbrief":"mod above upper I with inverted breve"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"cap O double grave"},"mathspeak":{"default":"modifying above upper O with double grave","brief":"mod above upper O with double grave","sbrief":"mod above upper O with double grave"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"cap O inverted breve"},"mathspeak":{"default":"modifying above upper O with inverted breve","brief":"mod above upper O with inverted breve","sbrief":"mod above upper O with inverted breve"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"cap R double grave"},"mathspeak":{"default":"modifying above upper R with double grave","brief":"mod above upper R with double grave","sbrief":"mod above upper R with double grave"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"cap R inverted breve"},"mathspeak":{"default":"modifying above upper R with inverted breve","brief":"mod above upper R with inverted breve","sbrief":"mod above upper R with inverted breve"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"cap U double grave"},"mathspeak":{"default":"modifying above upper U with double grave","brief":"mod above upper U with double grave","sbrief":"mod above upper U with double grave"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"cap U inverted breve"},"mathspeak":{"default":"modifying above upper U with inverted breve","brief":"mod above upper U with inverted breve","sbrief":"mod above upper U with inverted breve"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"cap S comma below"},"mathspeak":{"default":"modifying below upper S with comma below","brief":"mod below upper S with comma below","sbrief":"mod below upper S with comma below"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"cap T comma below"},"mathspeak":{"default":"modifying below upper T with comma below","brief":"mod below upper T with comma below","sbrief":"mod below upper T with comma below"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"cap H caron"},"mathspeak":{"default":"modifying above upper H with caron","brief":"mod above upper H with caron","sbrief":"mod above upper H with caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"cap A overdot"},"mathspeak":{"default":"modifying above upper A with dot","brief":"mod above upper A with dot","sbrief":"mod above upper A with dot"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"cap E cedilla"},"mathspeak":{"default":"modifying above upper E with cedilla","brief":"mod above upper E with cedilla","sbrief":"mod above upper E with cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"cap O overdot"},"mathspeak":{"default":"modifying above upper O with dot","brief":"mod above upper O with dot","sbrief":"mod above upper O with dot"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"cap Y overbar"},"mathspeak":{"default":"upper Y overbar","brief":"upper Y overbar","sbrief":"upper Y overbar"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"cap A ring below"},"mathspeak":{"default":"modifying below upper A with ring below","brief":"mod below upper A with ring below","sbrief":"mod below upper A with ring below"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"cap B overdot"},"mathspeak":{"default":"modifying above upper B with dot","brief":"mod above upper B with dot","sbrief":"mod above upper B with dot"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"cap B underdot"},"mathspeak":{"default":"modifying below upper B with dot","brief":"mod below upper B with dot","sbrief":"mod below upper B with dot"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"cap B underbar"},"mathspeak":{"default":"upper B underbar","brief":"upper B underbar","sbrief":"upper B underbar"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"cap D overdot"},"mathspeak":{"default":"modifying above upper D with dot","brief":"mod above upper D with dot","sbrief":"mod above upper D with dot"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"cap D underdot"},"mathspeak":{"default":"modifying below upper D with dot","brief":"mod below upper D with dot","sbrief":"mod below upper D with dot"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"cap D underbar"},"mathspeak":{"default":"upper D underbar","brief":"upper D underbar","sbrief":"upper D underbar"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"cap D cedilla"},"mathspeak":{"default":"modifying above upper D with cedilla","brief":"mod above upper D with cedilla","sbrief":"mod above upper D with cedilla"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"cap D underhat"},"mathspeak":{"default":"modifying below upper D with caret","brief":"mod below upper D with caret","sbrief":"mod below upper D with caret"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"cap E underhat"},"mathspeak":{"default":"modifying below upper E with caret","brief":"mod below upper E with caret","sbrief":"mod below upper E with caret"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"cap E tilde below"},"mathspeak":{"default":"upper E undertilde","brief":"upper E undertilde","sbrief":"upper E undertilde"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"cap F overdot"},"mathspeak":{"default":"modifying above upper F with dot","brief":"mod above upper F with dot","sbrief":"mod above upper F with dot"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"cap G overbar"},"mathspeak":{"default":"upper G overbar","brief":"upper G overbar","sbrief":"upper G overbar"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"cap H overdot"},"mathspeak":{"default":"modifying above upper H with dot","brief":"mod above upper H with dot","sbrief":"mod above upper H with dot"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"cap H underdot"},"mathspeak":{"default":"modifying below upper H with dot","brief":"mod below upper H with dot","sbrief":"mod below upper H with dot"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"cap H double overdot"},"mathspeak":{"default":"modifying above upper H with double dot","brief":"mod above upper H with double dot","sbrief":"mod above upper H with double dot"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"cap H cedilla"},"mathspeak":{"default":"modifying above upper H with cedilla","brief":"mod above upper H with cedilla","sbrief":"mod above upper H with cedilla"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"cap H breve below"},"mathspeak":{"default":"modifying below upper H with breve below","brief":"mod below upper H with breve below","sbrief":"mod below upper H with breve below"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"cap I tilde below"},"mathspeak":{"default":"upper I undertilde","brief":"upper I undertilde","sbrief":"upper I undertilde"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"cap K acute"},"mathspeak":{"default":"modifying above upper K with acute","brief":"mod above upper K with acute","sbrief":"mod above upper K with acute"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"cap K underdot"},"mathspeak":{"default":"modifying below upper K with dot","brief":"mod below upper K with dot","sbrief":"mod below upper K with dot"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"cap K underbar"},"mathspeak":{"default":"upper K underbar","brief":"upper K underbar","sbrief":"upper K underbar"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"cap L underdot"},"mathspeak":{"default":"modifying below upper L with dot","brief":"mod below upper L with dot","sbrief":"mod below upper L with dot"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"cap L underbar"},"mathspeak":{"default":"upper L underbar","brief":"upper L underbar","sbrief":"upper L underbar"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"cap L underhat"},"mathspeak":{"default":"modifying below upper L with caret","brief":"mod below upper L with caret","sbrief":"mod below upper L with caret"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"cap M acute"},"mathspeak":{"default":"modifying above upper M with acute","brief":"mod above upper M with acute","sbrief":"mod above upper M with acute"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"cap M overdot"},"mathspeak":{"default":"modifying above upper M with dot","brief":"mod above upper M with dot","sbrief":"mod above upper M with dot"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"cap M underdot"},"mathspeak":{"default":"modifying below upper M with dot","brief":"mod below upper M with dot","sbrief":"mod below upper M with dot"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"cap N overdot"},"mathspeak":{"default":"modifying above upper N with dot","brief":"mod above upper N with dot","sbrief":"mod above upper N with dot"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"cap N underdot"},"mathspeak":{"default":"modifying below upper N with dot","brief":"mod below upper N with dot","sbrief":"mod below upper N with dot"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"cap N underbar"},"mathspeak":{"default":"upper N underbar","brief":"upper N underbar","sbrief":"upper N underbar"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"cap N underhat"},"mathspeak":{"default":"modifying below upper N with caret","brief":"mod below upper N with caret","sbrief":"mod below upper N with caret"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"cap P acute"},"mathspeak":{"default":"modifying above upper P with acute","brief":"mod above upper P with acute","sbrief":"mod above upper P with acute"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"cap P overdot"},"mathspeak":{"default":"modifying above upper P with dot","brief":"mod above upper P with dot","sbrief":"mod above upper P with dot"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"cap R overdot"},"mathspeak":{"default":"modifying above upper R with dot","brief":"mod above upper R with dot","sbrief":"mod above upper R with dot"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"cap R underdot"},"mathspeak":{"default":"modifying below upper R with dot","brief":"mod below upper R with dot","sbrief":"mod below upper R with dot"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"cap R underbar"},"mathspeak":{"default":"upper R underbar","brief":"upper R underbar","sbrief":"upper R underbar"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"cap S overdot"},"mathspeak":{"default":"modifying above upper S with dot","brief":"mod above upper S with dot","sbrief":"mod above upper S with dot"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"cap S underdot"},"mathspeak":{"default":"modifying below upper S with dot","brief":"mod below upper S with dot","sbrief":"mod below upper S with dot"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"cap T overdot"},"mathspeak":{"default":"modifying above upper T with dot","brief":"mod above upper T with dot","sbrief":"mod above upper T with dot"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"cap T underdot"},"mathspeak":{"default":"modifying below upper T with dot","brief":"mod below upper T with dot","sbrief":"mod below upper T with dot"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"cap T underbar"},"mathspeak":{"default":"upper T underbar","brief":"upper T underbar","sbrief":"upper T underbar"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"cap T underhat"},"mathspeak":{"default":"modifying below upper T with caret","brief":"mod below upper T with caret","sbrief":"mod below upper T with caret"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"cap U double underdot"},"mathspeak":{"default":"modifying below upper U with double dot","brief":"mod below upper U with double dot","sbrief":"mod below upper U with double dot"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"cap U tilde below"},"mathspeak":{"default":"upper U undertilde","brief":"upper U undertilde","sbrief":"upper U undertilde"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"cap U underhat"},"mathspeak":{"default":"modifying below upper U with caret","brief":"mod below upper U with caret","sbrief":"mod below upper U with caret"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"cap V tilde"},"mathspeak":{"default":"upper V overtilde","brief":"upper V overtilde","sbrief":"upper V overtilde"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"cap V underdot"},"mathspeak":{"default":"modifying below upper V with dot","brief":"mod below upper V with dot","sbrief":"mod below upper V with dot"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"cap W grave"},"mathspeak":{"default":"modifying above upper W with grave","brief":"mod above upper W with grave","sbrief":"mod above upper W with grave"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"cap W acute"},"mathspeak":{"default":"modifying above upper W with acute","brief":"mod above upper W with acute","sbrief":"mod above upper W with acute"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"cap W double overdot"},"mathspeak":{"default":"modifying above upper W with double dot","brief":"mod above upper W with double dot","sbrief":"mod above upper W with double dot"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"cap W overdot"},"mathspeak":{"default":"modifying above upper W with dot","brief":"mod above upper W with dot","sbrief":"mod above upper W with dot"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"cap W underdot"},"mathspeak":{"default":"modifying below upper W with dot","brief":"mod below upper W with dot","sbrief":"mod below upper W with dot"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"cap X overdot"},"mathspeak":{"default":"modifying above upper X with dot","brief":"mod above upper X with dot","sbrief":"mod above upper X with dot"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"cap X double overdot"},"mathspeak":{"default":"modifying above upper X with double dot","brief":"mod above upper X with double dot","sbrief":"mod above upper X with double dot"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"cap Y overdot"},"mathspeak":{"default":"modifying above upper Y with dot","brief":"mod above upper Y with dot","sbrief":"mod above upper Y with dot"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"cap Z circumflex"},"mathspeak":{"default":"modifying above upper Z with circumflex","brief":"mod above upper Z with circumflex","sbrief":"mod above upper Z with circumflex"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"cap Z underdot"},"mathspeak":{"default":"modifying below upper Z with dot","brief":"mod below upper Z with dot","sbrief":"mod below upper Z with dot"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"cap Z underbar"},"mathspeak":{"default":"upper Z underbar","brief":"upper Z underbar","sbrief":"upper Z underbar"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"cap A underdot"},"mathspeak":{"default":"modifying below upper A with dot","brief":"mod below upper A with dot","sbrief":"mod below upper A with dot"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"cap A hook"},"mathspeak":{"default":"modifying above upper A with hook","brief":"mod above upper A with hook","sbrief":"mod above upper A with hook"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"cap E underdot"},"mathspeak":{"default":"modifying below upper E with dot","brief":"mod below upper E with dot","sbrief":"mod below upper E with dot"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"cap E hook"},"mathspeak":{"default":"modifying above upper E with hook","brief":"mod above upper E with hook","sbrief":"mod above upper E with hook"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"cap E tilde"},"mathspeak":{"default":"upper E overtilde","brief":"upper E overtilde","sbrief":"upper E overtilde"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"cap I hook"},"mathspeak":{"default":"modifying above upper I with hook","brief":"mod above upper I with hook","sbrief":"mod above upper I with hook"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"cap I underdot"},"mathspeak":{"default":"modifying below upper I with dot","brief":"mod below upper I with dot","sbrief":"mod below upper I with dot"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"cap O underdot"},"mathspeak":{"default":"modifying below upper O with dot","brief":"mod below upper O with dot","sbrief":"mod below upper O with dot"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"cap O hook"},"mathspeak":{"default":"modifying above upper O with hook","brief":"mod above upper O with hook","sbrief":"mod above upper O with hook"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"cap U underdot"},"mathspeak":{"default":"modifying below upper U with dot","brief":"mod below upper U with dot","sbrief":"mod below upper U with dot"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"cap U hook"},"mathspeak":{"default":"modifying above upper U with hook","brief":"mod above upper U with hook","sbrief":"mod above upper U with hook"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"cap Y grave"},"mathspeak":{"default":"modifying above upper Y with grave","brief":"mod above upper Y with grave","sbrief":"mod above upper Y with grave"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"cap Y underdot"},"mathspeak":{"default":"modifying below upper Y with dot","brief":"mod below upper Y with dot","sbrief":"mod below upper Y with dot"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"cap Y hook"},"mathspeak":{"default":"modifying above upper Y with hook","brief":"mod above upper Y with hook","sbrief":"mod above upper Y with hook"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"cap Y tilde"},"mathspeak":{"default":"upper Y overtilde","brief":"upper Y overtilde","sbrief":"upper Y overtilde"}}}]
+,
+"en/symbols/math_angles.js": 
 [{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"right angle with arc"}},"key":"22BE"},{"category":"Sm","mappings":{"default":{"default":"right angle with downwards zigzag arrow"}},"key":"237C"},{"category":"Sm","mappings":{"default":{"default":"three dimensional angle"}},"key":"27C0"},{"category":"Sm","mappings":{"default":{"default":"measured angle opening left"}},"key":"299B"},{"category":"Sm","mappings":{"default":{"default":"right angle variant with square"}},"key":"299C"},{"category":"Sm","mappings":{"default":{"default":"measured right angle with dot"}},"key":"299D"},{"category":"Sm","mappings":{"default":{"default":"angle with s inside"}},"key":"299E"},{"category":"Sm","mappings":{"default":{"default":"acute angle"}},"key":"299F"},{"category":"Sm","mappings":{"default":{"default":"spherical angle opening left"}},"key":"29A0"},{"category":"Sm","mappings":{"default":{"default":"spherical angle opening up"}},"key":"29A1"},{"category":"Sm","mappings":{"default":{"default":"turned angle"}},"key":"29A2"},{"category":"Sm","mappings":{"default":{"default":"reversed angle"}},"key":"29A3"},{"category":"Sm","mappings":{"default":{"default":"angle with underbar"}},"key":"29A4"},{"category":"Sm","mappings":{"default":{"default":"reversed angle with underbar"}},"key":"29A5"},{"category":"Sm","mappings":{"default":{"default":"oblique angle opening up"}},"key":"29A6"},{"category":"Sm","mappings":{"default":{"default":"oblique angle opening down"}},"key":"29A7"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and right"}},"key":"29A8"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and left"}},"key":"29A9"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and right"}},"key":"29AA"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and left"}},"key":"29AB"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"key":"29AC"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"key":"29AD"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"key":"29AE"},{"category":"Sm","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"key":"29AF"}]
 ,
-"en/math_arrows.js": 
-[{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow","short":"left arrow"},"mathspeak":{"default":"left-arrow","sbrief":"L arrow"}},"key":"2190"},{"category":"Sm","mappings":{"default":{"default":"upwards arrow","short":"up arrow"},"mathspeak":{"default":"up-arrow","sbrief":"U arrow"}},"key":"2191"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow","short":"right arrow"},"mathspeak":{"default":"right-arrow","sbrief":"R arrow"}},"key":"2192"},{"category":"Sm","mappings":{"default":{"default":"downwards arrow","short":"down arrow"},"mathspeak":{"default":"down-arrow","sbrief":"D arrow"}},"key":"2193"},{"category":"Sm","mappings":{"default":{"default":"left right arrow"},"mathspeak":{"default":"left-right-arrow","sbrief":"L R arrow"}},"key":"2194"},{"category":"So","mappings":{"default":{"default":"up down arrow"},"mathspeak":{"default":"up down-arrow","sbrief":"U D arrow"}},"key":"2195"},{"category":"So","mappings":{"default":{"default":"north west arrow","short":"up left arrow"},"mathspeak":{"default":"up left-arrow","sbrief":"U L arrow"}},"key":"2196"},{"category":"So","mappings":{"default":{"default":"north east arrow","short":"up right arrow"},"mathspeak":{"default":"up right-arrow","sbrief":"U R arrow"}},"key":"2197"},{"category":"So","mappings":{"default":{"default":"south east arrow","short":"down right arrow"},"mathspeak":{"default":"down right-arrow","sbrief":"D R arrow"}},"key":"2198"},{"category":"So","mappings":{"default":{"default":"south west arrow","short":"down left arrow"},"mathspeak":{"default":"down left-arrow","sbrief":"D L arrow"}},"key":"2199"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with stroke","short":"left arrow with stroke"},"mathspeak":{"default":"left-arrow with stroke","sbrief":"L arrow with stroke"}},"key":"219A"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with stroke","short":"right arrow with stroke"},"mathspeak":{"default":"right-arrow with stroke","sbrief":"R arrow with stroke"}},"key":"219B"},{"category":"So","mappings":{"default":{"default":"leftwards wave arrow","short":"left wave arrow"},"mathspeak":{"sbrief":"L wave arrow"}},"key":"219C"},{"category":"So","mappings":{"default":{"default":"rightwards wave arrow","short":"right wave arrow"},"mathspeak":{"sbrief":"R wave arrow"}},"key":"219D"},{"category":"So","mappings":{"default":{"default":"leftwards two headed arrow","alternative":"left two headed arrow","short":"two headed left arrow"},"mathspeak":{"default":"two headed left-arrow","sbrief":"two headed L arrow"}},"key":"219E"},{"category":"So","mappings":{"default":{"default":"upwards two headed arrow","alternative":"up two headed arrow","short":"two headed up arrow"},"mathspeak":{"default":"two headed up-arrow","sbrief":"two headed U arrow"}},"key":"219F"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow","alternative":"right two headed arrow","short":"two headed right arrow"},"mathspeak":{"default":"two headed right-arrow","sbrief":"two headed R arrow"}},"key":"21A0"},{"category":"So","mappings":{"default":{"default":"downwards two headed arrow","alternative":"down two headed arrow","short":"two headed down arrow"},"mathspeak":{"default":"two headed down-arrow","sbrief":"two headed D arrow"}},"key":"21A1"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with tail","short":"left arrow with tail"},"mathspeak":{"default":"left-arrow with tail","sbrief":"L arrow with tail"}},"key":"21A2"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with tail","short":"right arrow with tail"},"mathspeak":{"default":"right-arrow with tail","sbrief":"R arrow with tail"}},"key":"21A3"},{"category":"So","mappings":{"default":{"default":"leftwards arrow from bar","short":"left arrow from bar"},"mathspeak":{"default":"left-arrow from bar","sbrief":"L arrow from bar"}},"key":"21A4"},{"category":"So","mappings":{"default":{"default":"upwards arrow from bar","short":"up arrow from bar"},"mathspeak":{"default":"up-arrow from bar","sbrief":"U arrow from bar"}},"key":"21A5"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow from bar","short":"right arrow from bar"},"mathspeak":{"default":"right-arrow from bar","sbrief":"R arrow from bar"}},"key":"21A6"},{"category":"So","mappings":{"default":{"default":"downwards arrow from bar","short":"down arrow from bar"},"mathspeak":{"default":"down-arrow from bar","sbrief":"D arrow from bar"}},"key":"21A7"},{"category":"So","mappings":{"default":{"default":"up down arrow with base"},"mathspeak":{"default":"up down-arrow with base","sbrief":"U D arrow with base"}},"key":"21A8"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with hook","short":"left arrow with hook"},"mathspeak":{"default":"left-arrow with hook","sbrief":"L arrow with hook"}},"key":"21A9"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with hook","short":"right arrow with hook"},"mathspeak":{"default":"right-arrow with hook","sbrief":"R arrow with hook"}},"key":"21AA"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with loop","short":"left arrow with loop"},"mathspeak":{"default":"left-arrow with loop","sbrief":"L arrow with loop"}},"key":"21AB"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with loop","short":"right arrow with loop"},"mathspeak":{"default":"right-arrow with loop","sbrief":"R arrow with loop"}},"key":"21AC"},{"category":"So","mappings":{"default":{"default":"left right wave arrow"},"mathspeak":{"sbrief":"L R wave arrow"}},"key":"21AD"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with stroke"},"mathspeak":{"default":"left-right-arrow with stroke","sbrief":"L R arrow with stroke"}},"key":"21AE"},{"category":"So","mappings":{"default":{"default":"downwards zigzag arrow","short":"down zigzag arrow"},"mathspeak":{"sbrief":"d zigzag arrow"}},"key":"21AF"},{"category":"So","mappings":{"default":{"default":"upwards arrow with tip leftwards","short":"up arrow with tip left"},"mathspeak":{"default":"up-arrow with tip left","sbrief":"U arrow with tip left"}},"key":"21B0"},{"category":"So","mappings":{"default":{"default":"upwards arrow with tip rightwards","short":"up arrow with tip right"},"mathspeak":{"default":"up-arrow with tip right","sbrief":"U arrow with tip right"}},"key":"21B1"},{"category":"So","mappings":{"default":{"default":"downwards arrow with tip leftwards","short":"down arrow with tip left"},"mathspeak":{"default":"down-arrow with tip left","sbrief":"D arrow with tip left"}},"key":"21B2"},{"category":"So","mappings":{"default":{"default":"downwards arrow with tip rightwards","short":"down arrow with tip right"},"mathspeak":{"default":"down-arrow with tip right","sbrief":"D arrow with tip right"}},"key":"21B3"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with corner downwards","short":"right arrow with corner down"},"mathspeak":{"default":"right-arrow with corner down","sbrief":"R arrow with corner down"}},"key":"21B4"},{"category":"So","mappings":{"default":{"default":"downwards arrow with corner leftwards","short":"down arrow with corner left"},"mathspeak":{"default":"down-arrow with corner left","sbrief":"D arrow with corner left"}},"key":"21B5"},{"category":"So","mappings":{"default":{"default":"anticlockwise top semicircle arrow"}},"key":"21B6"},{"category":"So","mappings":{"default":{"default":"clockwise top semicircle arrow"}},"key":"21B7"},{"category":"So","mappings":{"default":{"default":"north west arrow to long bar","short":"up left arrow to long bar"},"mathspeak":{"default":"up left-arrow to long bar","sbrief":"U L arrow to long bar"}},"key":"21B8"},{"category":"So","mappings":{"default":{"default":"leftwards arrow to bar over rightwards arrow to bar","short":"left arrow to bar over right arrow to bar"},"mathspeak":{"default":"left-arrow to bar over right-arrow to bar","sbrief":"L arrow to bar over R arrow to bar"}},"key":"21B9"},{"category":"So","mappings":{"default":{"default":"anticlockwise open circle arrow"}},"key":"21BA"},{"category":"So","mappings":{"default":{"default":"clockwise open circle arrow"}},"key":"21BB"},{"category":"So","mappings":{"default":{"default":"rightwards arrow over leftwards arrow","short":"right arrow over left arrow"},"mathspeak":{"default":"right-arrow over left-arrow","sbrief":"R arrow over L arrow"}},"key":"21C4"},{"category":"So","mappings":{"default":{"default":"upwards arrow leftwards of downwards arrow","short":"up arrow left of down arrow"},"mathspeak":{"default":"up-arrow left of down-arrow","sbrief":"U arrow L of D arrow"}},"key":"21C5"},{"category":"So","mappings":{"default":{"default":"leftwards arrow over rightwards arrow","short":"left arrow over right arrow"},"mathspeak":{"default":"left-arrow over right-arrow","sbrief":"L arrow over R arrow"}},"key":"21C6"},{"category":"So","mappings":{"default":{"default":"leftwards paired arrows","short":"left paired arrows"},"mathspeak":{"sbrief":"L paired arrows"}},"key":"21C7"},{"category":"So","mappings":{"default":{"default":"upwards paired arrows","short":"up paired arrows"},"mathspeak":{"sbrief":"U paired arrows"}},"key":"21C8"},{"category":"So","mappings":{"default":{"default":"rightwards paired arrows","short":"right paired arrows"},"mathspeak":{"sbrief":"R paired arrows"}},"key":"21C9"},{"category":"So","mappings":{"default":{"default":"downwards paired arrows","short":"down paired arrows"},"mathspeak":{"sbrief":"D paired arrows"}},"key":"21CA"},{"category":"So","mappings":{"default":{"default":"leftwards double arrow with stroke","short":"left double arrow with stroke"},"mathspeak":{"sbrief":"L double arrow with stroke"}},"key":"21CD"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow with stroke"},"mathspeak":{"sbrief":"L R double arrow with stroke"}},"key":"21CE"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow with stroke","short":"right double arrow with stroke"},"mathspeak":{"sbrief":"R double arrow with stroke"}},"key":"21CF"},{"category":"So","mappings":{"default":{"default":"leftwards double arrow","short":"left double arrow"},"mathspeak":{"sbrief":"L double arrow"}},"key":"21D0"},{"category":"So","mappings":{"default":{"default":"upwards double arrow","short":"up double arrow"},"mathspeak":{"sbrief":"U double arrow"}},"key":"21D1"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow","short":"right double arrow"},"mathspeak":{"sbrief":"R double arrow"}},"key":"21D2"},{"category":"So","mappings":{"default":{"default":"downwards double arrow","short":"down double arrow"},"mathspeak":{"sbrief":"d double arrow"}},"key":"21D3"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow"},"mathspeak":{"sbrief":"L R double arrow"}},"key":"21D4"},{"category":"So","mappings":{"default":{"default":"up down double arrow"},"mathspeak":{"sbrief":"U d double arrow"}},"key":"21D5"},{"category":"So","mappings":{"default":{"default":"north west double arrow","short":"up left double arrow"},"mathspeak":{"sbrief":"U L double arrow"}},"key":"21D6"},{"category":"So","mappings":{"default":{"default":"north east double arrow","short":"up right double arrow"},"mathspeak":{"sbrief":"U R double arrow"}},"key":"21D7"},{"category":"So","mappings":{"default":{"default":"south east double arrow","short":"down right double arrow"},"mathspeak":{"sbrief":"d R double arrow"}},"key":"21D8"},{"category":"So","mappings":{"default":{"default":"south west double arrow","short":"down left double arrow"},"mathspeak":{"sbrief":"d L double arrow"}},"key":"21D9"},{"category":"So","mappings":{"default":{"default":"leftwards triple arrow","short":"left triple arrow"},"mathspeak":{"sbrief":"L triple arrow"}},"key":"21DA"},{"category":"So","mappings":{"default":{"default":"rightwards triple arrow","short":"right triple arrow"},"mathspeak":{"sbrief":"r triple arrow"}},"key":"21DB"},{"category":"So","mappings":{"default":{"default":"leftwards squiggle arrow","short":"left squiggle arrow"},"mathspeak":{"sbrief":"L squiggle arrow"}},"key":"21DC"},{"category":"So","mappings":{"default":{"default":"rightwards squiggle arrow","short":"right squiggle arrow"},"mathspeak":{"sbrief":"r squiggle arrow"}},"key":"21DD"},{"category":"So","mappings":{"default":{"default":"upwards arrow with double stroke","short":"up arrow with double stroke"},"mathspeak":{"default":"up-arrow with double stroke","sbrief":"U arrow with double stroke"}},"key":"21DE"},{"category":"So","mappings":{"default":{"default":"downwards arrow with double stroke","short":"down arrow with double stroke"},"mathspeak":{"default":"down-arrow with double stroke","sbrief":"D arrow with double stroke"}},"key":"21DF"},{"category":"So","mappings":{"default":{"default":"leftwards dasheD arrow","short":"left dasheD arrow"},"mathspeak":{"sbrief":"L dasheD arrow"}},"key":"21E0"},{"category":"So","mappings":{"default":{"default":"upwards dasheD arrow","short":"up dasheD arrow"},"mathspeak":{"sbrief":"U dasheD arrow"}},"key":"21E1"},{"category":"So","mappings":{"default":{"default":"rightwards dasheD arrow","short":"right dasheD arrow"},"mathspeak":{"sbrief":"r dasheD arrow"}},"key":"21E2"},{"category":"So","mappings":{"default":{"default":"downwards dasheD arrow","short":"down dasheD arrow"},"mathspeak":{"sbrief":"d dasheD arrow"}},"key":"21E3"},{"category":"So","mappings":{"default":{"default":"leftwards arrow to bar","short":"left arrow to bar"},"mathspeak":{"default":"left-arrow to bar","sbrief":"L arrow to bar"}},"key":"21E4"},{"category":"So","mappings":{"default":{"default":"rightwards arrow to bar","short":"right arrow to bar"},"mathspeak":{"default":"right-arrow to bar","sbrief":"R arrow to bar"}},"key":"21E5"},{"category":"So","mappings":{"default":{"default":"leftwards white arrow","short":"white left arrow"},"mathspeak":{"default":"white left-arrow","sbrief":"white L arrow"}},"key":"21E6"},{"category":"So","mappings":{"default":{"default":"upwards white arrow","short":"white up arrow"},"mathspeak":{"default":"white up-arrow","sbrief":"white U arrow"}},"key":"21E7"},{"category":"So","mappings":{"default":{"default":"rightwards white arrow","short":"white right arrow"},"mathspeak":{"default":"white right-arrow","sbrief":"white R arrow"}},"key":"21E8"},{"category":"So","mappings":{"default":{"default":"downwards white arrow","short":"white down arrow"},"mathspeak":{"default":"white down-arrow","sbrief":"white D arrow"}},"key":"21E9"},{"category":"So","mappings":{"default":{"default":"upwards white arrow from bar","short":"white up arrow from bar"},"mathspeak":{"default":"white up-arrow from bar","sbrief":"white U arrow from bar"}},"key":"21EA"},{"category":"So","mappings":{"default":{"default":"upwards white arrow on pedestal","alternative":"up white arrow on pedestal","short":"white up arrow on pedestal"},"mathspeak":{"default":"white up-arrow on pedestal","sbrief":"white U arrow on pedestal"}},"key":"21EB"},{"category":"So","mappings":{"default":{"default":"upwards white arrow on pedestal with horizontal bar","alternative":"up white arrow on pedestal with horizontal bar","short":"white up arrow on pedestal with horizontal bar"},"mathspeak":{"default":"white up-arrow on pedestal with horizontal bar","sbrief":"white U arrow on pedestal with horizontal bar"}},"key":"21EC"},{"category":"So","mappings":{"default":{"default":"upwards white arrow on pedestal with vertical bar","alternative":"up white arrow on pedestal with vertical bar","short":"white up arrow on pedestal with vertical bar"},"mathspeak":{"default":"white up-arrow on pedestal with vertical bar","sbrief":"white U arrow on pedestal with vertical bar"}},"key":"21ED"},{"category":"So","mappings":{"default":{"default":"upwards white double arrow","alternative":"up white double arrow","short":"white double up arrow"},"mathspeak":{"default":"white double up-arrow","sbrief":"white double U arrow"}},"key":"21EE"},{"category":"So","mappings":{"default":{"default":"upwards white double arrow on pedestal","alternative":"up white double arrow on pedestal","short":"white double up arrow on pedestal"},"mathspeak":{"default":"white double up-arrow on pedestal","sbrief":"white double U arrow on pedestal"}},"key":"21EF"},{"category":"So","mappings":{"default":{"default":"rightwards white arrow from wall","alternative":"right white arrow from wall","short":"white right arrow from wall"},"mathspeak":{"default":"white right-arrow from wall","sbrief":"white R arrow from wall"}},"key":"21F0"},{"category":"So","mappings":{"default":{"default":"north west arrow to corner"}},"key":"21F1"},{"category":"So","mappings":{"default":{"default":"south east arrow to corner"}},"key":"21F2"},{"category":"So","mappings":{"default":{"default":"up down white arrow"},"mathspeak":{"sbrief":"U d white arrow"}},"key":"21F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with small circle"},"mathspeak":{"default":"right-arrow with small circle","sbrief":"R arrow with small circle"}},"key":"21F4"},{"category":"Sm","mappings":{"default":{"default":"down arrow leftwards of upwards arrow","short":"down arrow left of up arrow"},"mathspeak":{"default":"down-arrow left of up-arrow","sbrief":"D arrow l of U arrow"}},"key":"21F5"},{"category":"Sm","mappings":{"default":{"default":"three rightwards arrows","short":"three right arrows"},"mathspeak":{"default":"three right-arrows","sbrief":"three R arrows"}},"key":"21F6"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with vertical stroke","short":"left arrow with vertical stroke"},"mathspeak":{"default":"left-arrow with vertical stroke","sbrief":"L arrow with vertical stroke"}},"key":"21F7"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with vertical stroke","short":"right arrow with vertical stroke"},"mathspeak":{"default":"right-arrow with vertical stroke","sbrief":"R arrow with vertical stroke"}},"key":"21F8"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with vertical stroke"},"mathspeak":{"default":"left-right-arrow with vertical stroke","sbrief":"L R arrow with vertical stroke"}},"key":"21F9"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with double vertical stroke","short":"left arrow with double vertical stroke"},"mathspeak":{"default":"left-arrow with double vertical stroke","sbrief":"L arrow with double vertical stroke"}},"key":"21FA"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with double vertical stroke","short":"right arrow with double vertical stroke"},"mathspeak":{"default":"right-arrow with double vertical stroke","sbrief":"R arrow with double vertical stroke"}},"key":"21FB"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with double vertical stroke"},"mathspeak":{"default":"left-right-arrow with double vertical stroke","sbrief":"L R arrow with double vertical stroke"}},"key":"21FC"},{"category":"Sm","mappings":{"default":{"default":"leftwards open headed arrow","short":"left open headed arrow"},"mathspeak":{"sbrief":"l open headed arrow"}},"key":"21FD"},{"category":"Sm","mappings":{"default":{"default":"rightwards open headed arrow","short":"right open headed arrow"},"mathspeak":{"sbrief":"r open headed arrow"}},"key":"21FE"},{"category":"Sm","mappings":{"default":{"default":"left right open headed arrow"},"mathspeak":{"sbrief":"L R open headed arrow"}},"key":"21FF"},{"category":"So","mappings":{"default":{"default":"electric arrow"}},"key":"2301"},{"category":"So","mappings":{"default":{"default":"up arrowhead"},"mathspeak":{"default":"up-arrowhead","sbrief":"U arrowhead"}},"key":"2303"},{"category":"So","mappings":{"default":{"default":"down arrowhead"},"mathspeak":{"default":"down-arrowhead","sbrief":"D arrowhead"}},"key":"2304"},{"category":"So","mappings":{"default":{"default":"up arrowhead between two horizontal bars","alternative":"enter key"},"mathspeak":{"default":"up-arrowhead between two horizontal bars","sbrief":"U arrowhead between two horizontal bars"}},"key":"2324"},{"category":"So","mappings":{"default":{"default":"broken circle with northwest arrow"}},"key":"238B"},{"category":"So","mappings":{"default":{"default":"heavy wide headed rightwards arrow","short":"heavy wide headed right arrow"},"mathspeak":{"default":"heavy wide headed right-arrow","sbrief":"heavy wide headed R arrow"}},"key":"2794"},{"category":"So","mappings":{"default":{"default":"heavy south east arrow","short":"heavy down right arrow"},"mathspeak":{"default":"heavy down right-arrow","sbrief":"heavy d R arrow"}},"key":"2798"},{"category":"So","mappings":{"default":{"default":"heavy rightwards arrow","short":"heavy right arrow"},"mathspeak":{"default":"heavy right-arrow","sbrief":"heavy R arrow"}},"key":"2799"},{"category":"So","mappings":{"default":{"default":"heavy north east arrow","short":"heavy up right arrow"},"mathspeak":{"default":"heavy up right-arrow","sbrief":"heavy U R arrow"}},"key":"279A"},{"category":"So","mappings":{"default":{"default":"drafting point rightwards arrow","short":"drafting point right arrow"},"mathspeak":{"default":"drafting point right-arrow","sbrief":"drafting point R arrow"}},"key":"279B"},{"category":"So","mappings":{"default":{"default":"heavy round tipped rightwards arrow","short":"heavy round tipped right arrow"},"mathspeak":{"default":"heavy round tipped right-arrow","sbrief":"heavy round tipped R arrow"}},"key":"279C"},{"category":"So","mappings":{"default":{"default":"triangle headed rightwards arrow","short":"triangle headed right arrow"},"mathspeak":{"default":"triangle headed right-arrow","sbrief":"triangle headed R arrow"}},"key":"279D"},{"category":"So","mappings":{"default":{"default":"heavy triangle headed rightwards arrow","short":"heavy triangle headed right arrow"},"mathspeak":{"default":"heavy triangle headed right-arrow","sbrief":"heavy triangle headed R arrow"}},"key":"279E"},{"category":"So","mappings":{"default":{"default":"dashed triangle headed rightwards arrow","short":"dashed triangle headed right arrow"},"mathspeak":{"default":"dashed triangle headed right-arrow","sbrief":"dashed triangle headed R arrow"}},"key":"279F"},{"category":"So","mappings":{"default":{"default":"heavy dashed triangle headed rightwards arrow","short":"heavy dashed triangle headed right arrow"},"mathspeak":{"default":"heavy dashed triangle headed right-arrow","sbrief":"heavy dashed triangle headed R arrow"}},"key":"27A0"},{"category":"So","mappings":{"default":{"default":"black rightwards arrow","short":"black right arrow"},"mathspeak":{"default":"black right-arrow","sbrief":"black R arrow"}},"key":"27A1"},{"category":"So","mappings":{"default":{"default":"three d top lighted rightwards arrowhead","short":"three d top lighted right arrowhead"},"mathspeak":{"default":"three d top lighted right-arrowhead","sbrief":"three d top lighted R arrowhead"}},"key":"27A2"},{"category":"So","mappings":{"default":{"default":"three d bottom lighted rightwards arrowhead","short":"three d bottom lighted right arrowhead"},"mathspeak":{"default":"three d bottom lighted right-arrowhead","sbrief":"three d bottom lighted R arrowhead"}},"key":"27A3"},{"category":"So","mappings":{"default":{"default":"black rightwards arrowhead","short":"black right arrowhead"},"mathspeak":{"default":"black right-arrowhead","sbrief":"black R arrowhead"}},"key":"27A4"},{"category":"So","mappings":{"default":{"default":"heavy black curved downwards and rightwards arrow","short":"heavy black curved down and right arrow"},"mathspeak":{"default":"heavy black curved down and right-arrow","sbrief":"heavy black curved d and R arrow"}},"key":"27A5"},{"category":"So","mappings":{"default":{"default":"heavy black curved upwards and rightwards arrow","short":"heavy black curved up and right arrow"},"mathspeak":{"default":"heavy black curved up and right-arrow","sbrief":"heavy black curved U and R arrow"}},"key":"27A6"},{"category":"So","mappings":{"default":{"default":"squat black rightwards arrow","short":"squat black right arrow"},"mathspeak":{"default":"squat black right-arrow","sbrief":"squat black R arrow"}},"key":"27A7"},{"category":"So","mappings":{"default":{"default":"heavy concave pointed black rightwards arrow","short":"heavy concave pointed black right arrow"},"mathspeak":{"default":"heavy concave pointed black right-arrow","sbrief":"heavy concave pointed black R arrow"}},"key":"27A8"},{"category":"So","mappings":{"default":{"default":"right shaded white rightwards arrow","short":"right shaded white right arrow"},"mathspeak":{"default":"right shaded white right-arrow","sbrief":"right shaded white R arrow"}},"key":"27A9"},{"category":"So","mappings":{"default":{"default":"left shaded white rightwards arrow","short":"left shaded white right arrow"},"mathspeak":{"default":"left shaded white right-arrow","sbrief":"left shaded white R arrow"}},"key":"27AA"},{"category":"So","mappings":{"default":{"default":"back tilted shadowed white rightwards arrow","short":"back tilted shadowed white right arrow"},"mathspeak":{"default":"back tilted shadowed white right-arrow","sbrief":"back tilted shadowed white R arrow"}},"key":"27AB"},{"category":"So","mappings":{"default":{"default":"front tilted shadowed white rightwards arrow","short":"front tilted shadowed white right arrow"},"mathspeak":{"default":"front tilted shadowed white right-arrow","sbrief":"front tilted shadowed white R arrow"}},"key":"27AC"},{"category":"So","mappings":{"default":{"default":"heavy lower right shadowed white rightwards arrow","short":"heavy lower right shadowed white right arrow"},"mathspeak":{"default":"heavy lower right shadowed white right-arrow","sbrief":"heavy lower right shadowed white R arrow"}},"key":"27AD"},{"category":"So","mappings":{"default":{"default":"heavy upper right shadowed white rightwards arrow","short":"heavy upper right shadowed white right arrow"},"mathspeak":{"default":"heavy upper right shadowed white right-arrow","sbrief":"heavy upper right shadowed white R arrow"}},"key":"27AE"},{"category":"So","mappings":{"default":{"default":"notched lower right shadowed white rightwards arrow","short":"notched lower right shadowed white right arrow"},"mathspeak":{"default":"notched lower right shadowed white right-arrow","sbrief":"notched lower right shadowed white R arrow"}},"key":"27AF"},{"category":"So","mappings":{"default":{"default":"notched upper right shadowed white rightwards arrow","short":"notched upper right shadowed white right arrow"},"mathspeak":{"default":"notched upper right shadowed white right-arrow","sbrief":"notched upper right shadowed white R arrow"}},"key":"27B1"},{"category":"So","mappings":{"default":{"default":"circled heavy white rightwards arrow","short":"circled heavy white right arrow"},"mathspeak":{"default":"circled heavy white right-arrow","sbrief":"circled heavy white R arrow"}},"key":"27B2"},{"category":"So","mappings":{"default":{"default":"white feathered rightwards arrow","short":"white feathered right arrow"},"mathspeak":{"default":"white feathered right-arrow","sbrief":"white feathered R arrow"}},"key":"27B3"},{"category":"So","mappings":{"default":{"default":"black feathered south east arrow","short":"black feathered down right arrow"},"mathspeak":{"default":"black feathered down right-arrow","sbrief":"black feathered d R arrow"}},"key":"27B4"},{"category":"So","mappings":{"default":{"default":"black feathered rightwards arrow","short":"black feathered right arrow"},"mathspeak":{"default":"black feathered right-arrow","sbrief":"black feathered R arrow"}},"key":"27B5"},{"category":"So","mappings":{"default":{"default":"black feathered north east arrow","short":"black feathered up right arrow"},"mathspeak":{"default":"black feathered up right-arrow","sbrief":"black feathered U R arrow"}},"key":"27B6"},{"category":"So","mappings":{"default":{"default":"heavy black feathered south east arrow","short":"heavy black feathered down right arrow"},"mathspeak":{"default":"heavy black feathered down right-arrow","sbrief":"heavy black feathered d R arrow"}},"key":"27B7"},{"category":"So","mappings":{"default":{"default":"heavy black feathered rightwards arrow","short":"heavy black feathered right arrow"},"mathspeak":{"default":"heavy black feathered right-arrow","sbrief":"heavy black feathered R arrow"}},"key":"27B8"},{"category":"So","mappings":{"default":{"default":"heavy black feathered north east arrow","short":"heavy black feathered up right arrow"},"mathspeak":{"default":"heavy black feathered up right-arrow","sbrief":"heavy black feathered U R arrow"}},"key":"27B9"},{"category":"So","mappings":{"default":{"default":"teardrop barbed rightwards arrow","short":"teardrop barbed right arrow"},"mathspeak":{"default":"teardrop barbed right-arrow","sbrief":"teardrop barbed R arrow"}},"key":"27BA"},{"category":"So","mappings":{"default":{"default":"heavy teardrop shanked rightwards arrow","short":"heavy teardrop shanked right arrow"},"mathspeak":{"default":"heavy teardrop shanked right-arrow","sbrief":"heavy teardrop shanked R arrow"}},"key":"27BB"},{"category":"So","mappings":{"default":{"default":"wedge tailed rightwards arrow","short":"wedge tailed right arrow"},"mathspeak":{"default":"wedge tailed right-arrow","sbrief":"wedge tailed R arrow"}},"key":"27BC"},{"category":"So","mappings":{"default":{"default":"heavy wedge tailed rightwards arrow","short":"heavy wedge tailed right arrow"},"mathspeak":{"default":"heavy wedge tailed right-arrow","sbrief":"heavy wedge tailed R arrow"}},"key":"27BD"},{"category":"So","mappings":{"default":{"default":"open outlined rightwards arrow","short":"open outlined right arrow"},"mathspeak":{"default":"open outlined right-arrow","sbrief":"open outlined R arrow"}},"key":"27BE"},{"category":"Sm","mappings":{"default":{"default":"upwards quadruple arrow","short":"up quadruple arrow"},"mathspeak":{"sbrief":"U quadruple arrow"}},"key":"27F0"},{"category":"Sm","mappings":{"default":{"default":"downwards quadruple arrow","short":"down quadruple arrow"},"mathspeak":{"sbrief":"d quadrule arrow"}},"key":"27F1"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise gapped circle arrow"}},"key":"27F2"},{"category":"Sm","mappings":{"default":{"default":"clockwise gapped circle arrow"}},"key":"27F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with circled plus"},"mathspeak":{"default":"right-arrow with circled plus","sbrief":"R arrow with circled plus"}},"key":"27F4"},{"category":"Sm","mappings":{"default":{"default":"long leftwards arrow","short":"long left arrow"},"mathspeak":{"default":"long left-arrow","sbrief":"long L arrow"}},"key":"27F5"},{"category":"Sm","mappings":{"default":{"default":"long rightwards arrow","short":"long right arrow"},"mathspeak":{"default":"long right-arrow","sbrief":"long R arrow"}},"key":"27F6"},{"category":"Sm","mappings":{"default":{"default":"long left right arrow"},"mathspeak":{"default":"long left-right-arrow","sbrief":"long L R arrow"}},"key":"27F7"},{"category":"Sm","mappings":{"default":{"default":"long leftwards double arrow","short":"long left double arrow"},"mathspeak":{"sbrief":"long l double arrow"}},"key":"27F8"},{"category":"Sm","mappings":{"default":{"default":"long rightwards double arrow","short":"long right double arrow"},"mathspeak":{"sbrief":"long R double arrow"}},"key":"27F9"},{"category":"Sm","mappings":{"default":{"default":"long left right double arrow"},"mathspeak":{"sbrief":"long L R double arrow"}},"key":"27FA"},{"category":"Sm","mappings":{"default":{"default":"long leftwards arrow from bar","short":"long left arrow from bar"},"mathspeak":{"default":"long left-arrow from bar","sbrief":"long L arrow from bar"}},"key":"27FB"},{"category":"Sm","mappings":{"default":{"default":"long rightwards arrow from bar","short":"long right arrow from bar"},"mathspeak":{"default":"long right-arrow from bar","sbrief":"long R arrow from bar"}},"key":"27FC"},{"category":"Sm","mappings":{"default":{"default":"long leftwards double arrow from bar","short":"long left double arrow from bar"},"mathspeak":{"sbrief":"long l double arrow from bar"}},"key":"27FD"},{"category":"Sm","mappings":{"default":{"default":"long rightwards double arrow from bar","short":"long right double arrow from bar"},"mathspeak":{"sbrief":"long R double arrow from bar"}},"key":"27FE"},{"category":"Sm","mappings":{"default":{"default":"long rightwards squiggle arrow","short":"long right squiggle arrow"},"mathspeak":{"sbrief":"long r squiggle arrow"}},"key":"27FF"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with vertical stroke","alternative":"right two headed arrow with vertical stroke","short":"two headed right arrow with vertical stroke"},"mathspeak":{"default":"two headed right-arrow with vertical stroke","sbrief":"two headed R arrow with vertical stroke"}},"key":"2900"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with double vertical stroke","alternative":"right two headed arrow with double vertical stroke","short":"two headed right arrow with double vertical stroke"},"mathspeak":{"default":"two headed right-arrow with double vertical stroke","sbrief":"two headed R arrow with double vertical stroke"}},"key":"2901"},{"category":"Sm","mappings":{"default":{"default":"leftwards double arrow with vertical stroke","alternative":"left double arrow with vertical stroke","short":"double left arrow with vertical stroke"},"mathspeak":{"default":"double left-arrow with vertical stroke","sbrief":"double L arrow with vertical stroke"}},"key":"2902"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow with vertical stroke","alternative":"right double arrow with vertical stroke","short":"double right arrow with vertical stroke"},"mathspeak":{"default":"double right-arrow with vertical stroke","sbrief":"double R arrow with vertical stroke"}},"key":"2903"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow with vertical stroke","short":"double left right arrow with vertical stroke"},"mathspeak":{"default":"double left-right-arrow with vertical stroke","sbrief":"double L R arrow with vertical stroke"}},"key":"2904"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow from bar","alternative":"right two headed arrow from bar","short":"two headed right arrow from bar"},"mathspeak":{"default":"two headed right-arrow from bar","sbrief":"two headed R arrow from bar"}},"key":"2905"},{"category":"Sm","mappings":{"default":{"default":"leftwards double arrow from bar","alternative":"left double arrow from bar","short":"double left arrow from bar"},"mathspeak":{"default":"double left-arrow from bar","sbrief":"double L arrow from bar"}},"key":"2906"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow from bar","alternative":"right double arrow from bar","short":"double right arrow from bar"},"mathspeak":{"default":"double right-arrow from bar","sbrief":"double R arrow from bar"}},"key":"2907"},{"category":"Sm","mappings":{"default":{"default":"downwards arrow with horizontal stroke","alternative":"down arrow with horizontal stroke","short":"arrow down with horizontal stroke"}},"key":"2908"},{"category":"Sm","mappings":{"default":{"default":"upwards arrow with horizontal stroke","short":"up arrow with horizontal stroke"},"mathspeak":{"default":"up-arrow with horizontal stroke","sbrief":"U arrow with horizontal stroke"}},"key":"2909"},{"category":"Sm","mappings":{"default":{"default":"upwards triple arrow","short":"up triple arrow"},"mathspeak":{"sbrief":"U triple arrow"}},"key":"290A"},{"category":"Sm","mappings":{"default":{"default":"downwards triple arrow","short":"down triple arrow"},"mathspeak":{"sbrief":"d triple arrow"}},"key":"290B"},{"category":"Sm","mappings":{"default":{"default":"leftwards double dash arrow","short":"left double dash arrow"},"mathspeak":{"sbrief":"l double dash arrow"}},"key":"290C"},{"category":"Sm","mappings":{"default":{"default":"rightwards double dash arrow","short":"right double dash arrow"},"mathspeak":{"sbrief":"R double dash arrow"}},"key":"290D"},{"category":"Sm","mappings":{"default":{"default":"leftwards triple dash arrow","short":"left triple dash arrow"},"mathspeak":{"sbrief":"l triple dash arrow"}},"key":"290E"},{"category":"Sm","mappings":{"default":{"default":"rightwards triple dash arrow","short":"right triple dash arrow"},"mathspeak":{"sbrief":"r triple dash arrow"}},"key":"290F"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed triple dash arrow","short":"right two headed triple dash arrow"},"mathspeak":{"sbrief":"r two headed triple dash arrow"}},"key":"2910"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with dotted stem","short":"right arrow with dotted stem"},"mathspeak":{"default":"right-arrow with dotted stem","sbrief":"R arrow with dotted stem"}},"key":"2911"},{"category":"Sm","mappings":{"default":{"default":"upwards arrow to bar","short":"up arrow to bar"},"mathspeak":{"default":"up-arrow to bar","sbrief":"U arrow to bar"}},"key":"2912"},{"category":"Sm","mappings":{"default":{"default":"downwards arrow to bar","short":"down arrow to bar"},"mathspeak":{"default":"down-arrow to bar","sbrief":"D arrow to bar"}},"key":"2913"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with tail with vertical stroke","short":"right arrow with tail with vertical stroke"},"mathspeak":{"default":"right-arrow with tail with vertical stroke","sbrief":"R arrow with tail with vertical stroke"}},"key":"2914"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with tail with double vertical stroke","short":"right arrow with tail with double vertical stroke"},"mathspeak":{"default":"right-arrow with tail with double vertical stroke","sbrief":"R arrow with tail with double vertical stroke"}},"key":"2915"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with tail","short":"right two headed arrow with tail"},"mathspeak":{"sbrief":"r two headed arrow with tail"}},"key":"2916"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with tail with vertical stroke","short":"right two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with vertical stroke"}},"key":"2917"},{"category":"Sm","mappings":{"default":{"default":"rightwards two headed arrow with tail with double vertical stroke","short":"right two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with double vertical stroke"}},"key":"2918"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow tail","short":"left arrow tail"},"mathspeak":{"default":"left-arrow tail","sbrief":"L arrow tail"}},"key":"2919"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow tail","short":"right arrow tail"},"mathspeak":{"default":"right-arrow tail","sbrief":"R arrow tail"}},"key":"291A"},{"category":"Sm","mappings":{"default":{"default":"leftwards double arrow tail","short":"left double arrow tail"},"mathspeak":{"sbrief":"l double arrow tail"}},"key":"291B"},{"category":"Sm","mappings":{"default":{"default":"rightwards double arrow tail","short":"right double arrow tail"},"mathspeak":{"sbrief":"R double arrow tail"}},"key":"291C"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow to black diamond","short":"left arrow to black diamond"},"mathspeak":{"default":"left-arrow to black diamond","sbrief":"L arrow to black diamond"}},"key":"291D"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow to black diamond","short":"right arrow to black diamond"},"mathspeak":{"default":"right-arrow to black diamond","sbrief":"R arrow to black diamond"}},"key":"291E"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow from bar to black diamond","short":"left arrow from bar to black diamond"},"mathspeak":{"default":"left-arrow from bar to black diamond","sbrief":"L arrow from bar to black diamond"}},"key":"291F"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow from bar to black diamond","short":"right arrow from bar to black diamond"},"mathspeak":{"default":"right-arrow from bar to black diamond","sbrief":"R arrow from bar to black diamond"}},"key":"2920"},{"category":"Sm","mappings":{"default":{"default":"north west and south east arrow"}},"key":"2921"},{"category":"Sm","mappings":{"default":{"default":"north east and south west arrow"}},"key":"2922"},{"category":"Sm","mappings":{"default":{"default":"north west arrow with hook"}},"key":"2923"},{"category":"Sm","mappings":{"default":{"default":"north east arrow with hook"}},"key":"2924"},{"category":"Sm","mappings":{"default":{"default":"south east arrow with hook"}},"key":"2925"},{"category":"Sm","mappings":{"default":{"default":"south west arrow with hook"}},"key":"2926"},{"category":"Sm","mappings":{"default":{"default":"north west arrow and north east arrow"}},"key":"2927"},{"category":"Sm","mappings":{"default":{"default":"north east arrow and south east arrow"}},"key":"2928"},{"category":"Sm","mappings":{"default":{"default":"south east arrow and south west arrow"}},"key":"2929"},{"category":"Sm","mappings":{"default":{"default":"south west arrow and north west arrow"}},"key":"292A"},{"category":"Sm","mappings":{"default":{"default":"south east arrow crossing north east arrow"}},"key":"292D"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing south east arrow"}},"key":"292E"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing north east arrow"}},"key":"292F"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing south east arrow"}},"key":"2930"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing north west arrow"}},"key":"2931"},{"category":"Sm","mappings":{"default":{"default":"north west arrow crossing north east arrow"}},"key":"2932"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly right"}},"key":"2933"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing rightwards then curving upwards","short":"arrow pointing right then curving up"}},"key":"2934"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing rightwards then curving downwards","short":"arrow pointing right then curving down"}},"key":"2935"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing downwards then curving leftwards","short":"arrow pointing down then curving left"}},"key":"2936"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing downwards then curving rightwards","short":"arrow pointing down then curving right"}},"key":"2937"},{"category":"Sm","mappings":{"default":{"default":"right side arc clockwise arrow"},"mathspeak":{"sbrief":"r side arc clockwise arrow"}},"key":"2938"},{"category":"Sm","mappings":{"default":{"default":"left side arc anticlockwise arrow"},"mathspeak":{"sbrief":"l side arc anticlockwise arrow"}},"key":"2939"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow"}},"key":"293A"},{"category":"Sm","mappings":{"default":{"default":"bottom arc anticlockwise arrow"}},"key":"293B"},{"category":"Sm","mappings":{"default":{"default":"top arc clockwise arrow with minus"}},"key":"293C"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow with plus"}},"key":"293D"},{"category":"Sm","mappings":{"default":{"default":"lower right semicircular clockwise arrow","short":"down right semicircular clockwise arrow"},"mathspeak":{"sbrief":"d r semicircular clockwise arrow"}},"key":"293E"},{"category":"Sm","mappings":{"default":{"default":"lower left semicircular anticlockwise arrow","short":"down left semicircular anticlockwise arrow"},"mathspeak":{"sbrief":"d l semicircular anticlockwise arrow"}},"key":"293F"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise closed circle arrow"}},"key":"2940"},{"category":"Sm","mappings":{"default":{"default":"clockwise closed circle arrow"}},"key":"2941"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above short leftwards arrow","short":"right arrow above short left arrow"},"mathspeak":{"default":"right-arrow above short left-arrow","sbrief":"R arrow above short L arrow"}},"key":"2942"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above short rightwards arrow","short":"left arrow above short right arrow"},"mathspeak":{"default":"left-arrow above short right-arrow","sbrief":"L arrow above short R arrow"}},"key":"2943"},{"category":"Sm","mappings":{"default":{"default":"short rightwards arrow above leftwards arrow","short":"short right arrow above left arrow"},"mathspeak":{"default":"short right-arrow above left-arrow","sbrief":"short R arrow above L arrow"}},"key":"2944"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow with plus below","short":"right arrow with plus below"},"mathspeak":{"default":"right-arrow with plus below","sbrief":"R arrow with plus below"}},"key":"2945"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with plus below","short":"left arrow with plus below"},"mathspeak":{"default":"left-arrow with plus below","sbrief":"L arrow with plus below"}},"key":"2946"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow through x","short":"right arrow through x"},"mathspeak":{"default":"right-arrow through x","sbrief":"R arrow through x"}},"key":"2947"},{"category":"Sm","mappings":{"default":{"default":"left right arrow through small circle"},"mathspeak":{"default":"left-right-arrow through small circle","sbrief":"L R arrow through small circle"}},"key":"2948"},{"category":"Sm","mappings":{"default":{"default":"upwards two headed arrow from small circle","short":"up two headed arrow from small circle"},"mathspeak":{"sbrief":"U two headed arrow from small circle"}},"key":"2949"},{"category":"Sm","mappings":{"default":{"default":"right double arrow with rounded head"},"mathspeak":{"sbrief":"R double arrow with rounded head"}},"key":"2970"},{"category":"Sm","mappings":{"default":{"default":"equals sign above rightwards arrow","short":"equals sign above right arrow"},"mathspeak":{"default":"equals sign above right-arrow","sbrief":"equals sign above R arrow"}},"key":"2971"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above rightwards arrow","short":"tilde operator above right arrow"},"mathspeak":{"default":"tilde operator above right-arrow","sbrief":"tilde operator above R arrow"}},"key":"2972"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above tilde operator","short":"left arrow above tilde operator"},"mathspeak":{"default":"left-arrow above tilde operator","sbrief":"L arrow above tilde operator"}},"key":"2973"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above tilde operator","short":"right arrow above tilde operator"},"mathspeak":{"default":"right-arrow above tilde operator","sbrief":"R arrow above tilde operator"}},"key":"2974"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above almost equals","short":"right arrow above almost equals"},"mathspeak":{"default":"right-arrow above almost equals","sbrief":"R arrow above almost equals"}},"key":"2975"},{"category":"Sm","mappings":{"default":{"default":"less than above leftwards arrow","short":"less than above left arrow"},"mathspeak":{"default":"less than above left-arrow","sbrief":"less than above L arrow"}},"key":"2976"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow through less than","short":"left arrow through less than"},"mathspeak":{"default":"left-arrow through less than","sbrief":"L arrow through less than"}},"key":"2977"},{"category":"Sm","mappings":{"default":{"default":"greater than above rightwards arrow","short":"greater than above right arrow"},"mathspeak":{"default":"greater than above right-arrow","sbrief":"greater than above R arrow"}},"key":"2978"},{"category":"Sm","mappings":{"default":{"default":"subset above rightwards arrow","short":"subset above right arrow"},"mathspeak":{"default":"subset above right-arrow","sbrief":"subset above R arrow"}},"key":"2979"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow through subset","short":"left arrow through subset"},"mathspeak":{"default":"left-arrow through subset","sbrief":"L arrow through subset"}},"key":"297A"},{"category":"Sm","mappings":{"default":{"default":"superset above leftwards arrow","short":"superset above left arrow"},"mathspeak":{"default":"superset above left-arrow","sbrief":"suerset above L arrow"}},"key":"297B"},{"category":"Sm","mappings":{"default":{"default":"empty set with right arrow above"},"mathspeak":{"default":"empty set with right-arrow above","sbrief":"empty set with R arrow above"}},"key":"29B3"},{"category":"Sm","mappings":{"default":{"default":"empty set with left arrow above"},"mathspeak":{"default":"empty set with left-arrow above","sbrief":"empty set with L arrow above"}},"key":"29B4"},{"category":"Sm","mappings":{"default":{"default":"up arrow through circle"},"mathspeak":{"default":"up-arrow through circle","sbrief":"U arrow through circle"}},"key":"29BD"},{"category":"Sm","mappings":{"default":{"default":"black diamond with down arrow"},"mathspeak":{"default":"black diamond with down-arrow","sbrief":"black diamond with D arrow"}},"key":"29EA"},{"category":"Sm","mappings":{"default":{"default":"white circle with down arrow"},"mathspeak":{"default":"white circle with down-arrow","sbrief":"white circle with D arrow"}},"key":"29EC"},{"category":"Sm","mappings":{"default":{"default":"black circle with down arrow"},"mathspeak":{"default":"black circle with down-arrow","sbrief":"black circle with D arrow"}},"key":"29ED"},{"category":"Sm","mappings":{"default":{"default":"integral with leftwards arrow with hook","short":"integral with left arrow with hook"},"mathspeak":{"default":"integral with left-arrow with hook","sbrief":"integral with L arrow with hook"}},"key":"2A17"},{"category":"So","mappings":{"default":{"default":"north east white arrow"}},"key":"2B00"},{"category":"So","mappings":{"default":{"default":"north west white arrow"}},"key":"2B01"},{"category":"So","mappings":{"default":{"default":"south east white arrow"}},"key":"2B02"},{"category":"So","mappings":{"default":{"default":"south west white arrow"}},"key":"2B03"},{"category":"So","mappings":{"default":{"default":"left right white arrow"},"mathspeak":{"sbrief":"L R white arrow"}},"key":"2B04"},{"category":"So","mappings":{"default":{"default":"leftwards black arrow","short":"left black arrow"},"mathspeak":{"sbrief":"L black arrow"}},"key":"2B05"},{"category":"So","mappings":{"default":{"default":"upwards black arrow","short":"up black arrow"},"mathspeak":{"sbrief":"U black arrow"}},"key":"2B06"},{"category":"So","mappings":{"default":{"default":"downwards black arrow","short":"down black arrow"},"mathspeak":{"sbrief":"D black arrow"}},"key":"2B07"},{"category":"So","mappings":{"default":{"default":"north east black arrow"}},"key":"2B08"},{"category":"So","mappings":{"default":{"default":"north west black arrow"}},"key":"2B09"},{"category":"So","mappings":{"default":{"default":"south east black arrow"}},"key":"2B0A"},{"category":"So","mappings":{"default":{"default":"south west black arrow"}},"key":"2B0B"},{"category":"So","mappings":{"default":{"default":"left right black arrow"},"mathspeak":{"sbrief":"L R black arrow"}},"key":"2B0C"},{"category":"So","mappings":{"default":{"default":"up down black arrow"},"mathspeak":{"sbrief":"U D black arrow"}},"key":"2B0D"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with tip downwards","short":"right arrow with tip down"},"mathspeak":{"default":"right-arrow with tip down","sbrief":"R arrow with tip down"}},"key":"2B0E"},{"category":"So","mappings":{"default":{"default":"rightwards arrow with tip upwards","short":"right arrow with tip up"},"mathspeak":{"default":"right-arrow with tip up","sbrief":"R arrow with tip up"}},"key":"2B0F"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with tip downwards","short":"left arrow with tip down"},"mathspeak":{"default":"left-arrow with tip down","sbrief":"L arrow with tip down"}},"key":"2B10"},{"category":"So","mappings":{"default":{"default":"leftwards arrow with tip upwards","short":"left arrow with tip up"},"mathspeak":{"default":"left-arrow with tip up","sbrief":"L arrow with tip up"}},"key":"2B11"},{"category":"Sm","mappings":{"default":{"default":"left arrow with small circle"},"mathspeak":{"default":"left-arrow with small circle","sbrief":"L arrow with small circle"}},"key":"2B30"},{"category":"Sm","mappings":{"default":{"default":"three leftwards arrows","short":"three left arrows"},"mathspeak":{"default":"three left-arrows","sbrief":"three L arrows"}},"key":"2B31"},{"category":"Sm","mappings":{"default":{"default":"left arrow with circled plus"},"mathspeak":{"default":"left-arrow with circled plus","sbrief":"L arrow with circled plus"}},"key":"2B32"},{"category":"Sm","mappings":{"default":{"default":"long leftwards squiggle arrow","short":"long left squiggle arrow"},"mathspeak":{"sbrief":"long l squiggle arrow"}},"key":"2B33"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with vertical stroke","short":"left two headed arrow with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with vertical stroke"}},"key":"2B34"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with double vertical stroke","short":"left two headed arrow with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with double vertical stroke"}},"key":"2B35"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow from bar","short":"left two headed arrow from bar"},"mathspeak":{"sbrief":"l two headed arrow from bar"}},"key":"2B36"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed triple dash arrow","short":"left two headed triple dash arrow"},"mathspeak":{"sbrief":"l two headed triple dash arrow"}},"key":"2B37"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with dotted stem","short":"left arrow with dotted stem"},"mathspeak":{"default":"left-arrow with dotted stem","sbrief":"L arrow with dotted stem"}},"key":"2B38"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with tail with vertical stroke","short":"left arrow with tail with vertical stroke"},"mathspeak":{"default":"left-arrow with tail with vertical stroke","sbrief":"L arrow with tail with vertical stroke"}},"key":"2B39"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow with tail with double vertical stroke","short":"left arrow with tail with double vertical stroke"},"mathspeak":{"default":"left-arrow with tail with double vertical stroke","sbrief":"L arrow with tail with double vertical stroke"}},"key":"2B3A"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with tail","short":"left two headed arrow with tail"},"mathspeak":{"sbrief":"l two headed arrow with tail"}},"key":"2B3B"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with tail with vertical stroke","short":"left two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with vertical stroke"}},"key":"2B3C"},{"category":"Sm","mappings":{"default":{"default":"leftwards two headed arrow with tail with double vertical stroke","short":"left two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with double vertical stroke"}},"key":"2B3D"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow through x","short":"left arrow through x"},"mathspeak":{"default":"left-arrow through x","sbrief":"L arrow through x"}},"key":"2B3E"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly left"}},"key":"2B3F"},{"category":"Sm","mappings":{"default":{"default":"equals sign above leftwards arrow","short":"equals sign above left arrow"},"mathspeak":{"default":"equals sign above left-arrow","sbrief":"equals sign above L arrow"}},"key":"2B40"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above leftwards arrow","short":"reverse tilde operator above left arrow"},"mathspeak":{"default":"reverse tilde operator above left-arrow","sbrief":"reverse tilde operator above L arrow"}},"key":"2B41"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above reverse almost equals","short":"left arrow above reverse almost equals"},"mathspeak":{"default":"left-arrow above reverse almost equals","sbrief":"L arrow above reverse almost equals"}},"key":"2B42"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow through greater than","short":"right arrow through greater than"},"mathspeak":{"default":"right-arrow through greater than","sbrief":"R arrow through greater than"}},"key":"2B43"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow through superset","short":"right arrow through superset"},"mathspeak":{"default":"right-arrow through superset","sbrief":"R arrow through superset"}},"key":"2B44"},{"category":"So","mappings":{"default":{"default":"leftwards quadruple arrow","short":"left quadruple arrow"},"mathspeak":{"sbrief":"l quadrule arrow"}},"key":"2B45"},{"category":"So","mappings":{"default":{"default":"rightwards quadruple arrow","short":"right quadruple arrow"},"mathspeak":{"sbrief":"r quadrule arrow"}},"key":"2B46"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above rightwards arrow","short":"reverse tilde operator above right arrow"},"mathspeak":{"default":"reverse tilde operator above right-arrow","sbrief":"reverse tilde operator above R arrow"}},"key":"2B47"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above reverse almost equals","short":"right arrow above reverse almost equals"},"mathspeak":{"default":"right-arrow above reverse almost equals","sbrief":"R arrow above reverse almost equals"}},"key":"2B48"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above leftwards arrow","short":"tilde operator above left arrow"},"mathspeak":{"default":"tilde operator above left-arrow","sbrief":"tilde operator above L arrow"}},"key":"2B49"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above almost equals","short":"left arrow above almost equals"},"mathspeak":{"default":"left-arrow above almost equals","sbrief":"L arrow above almost equals"}},"key":"2B4A"},{"category":"Sm","mappings":{"default":{"default":"leftwards arrow above reverse tilde operator","short":"left arrow above reverse tilde operator"},"mathspeak":{"default":"left-arrow above reverse tilde operator","sbrief":"L arrow above reverse tilde operator"}},"key":"2B4B"},{"category":"Sm","mappings":{"default":{"default":"rightwards arrow above reverse tilde operator","short":"right arrow above reverse tilde operator"},"mathspeak":{"default":"right-arrow above reverse tilde operator","sbrief":"R arrow above reverse tilde operator"}},"key":"2B4C"},{"category":"Sm","mappings":{"default":{"default":"halfwidth leftwards arrow","short":"halfwidth left arrow"},"mathspeak":{"default":"halfwidth left-arrow","sbrief":"halfwidth L arrow"}},"key":"FFE9"},{"category":"Sm","mappings":{"default":{"default":"halfwidth upwards arrow","short":"halfwidth up arrow"},"mathspeak":{"default":"halfwidth up-arrow","sbrief":"halfwidth U arrow"}},"key":"FFEA"},{"category":"Sm","mappings":{"default":{"default":"halfwidth rightwards arrow","short":"halfwidth right arrow"},"mathspeak":{"default":"halfwidth right-arrow","sbrief":"halfwidth R arrow"}},"key":"FFEB"},{"category":"Sm","mappings":{"default":{"default":"halfwidth downwards arrow","short":"halfwidth down arrow"},"mathspeak":{"default":"halfwidth down-arrow","sbrief":"halfwidth D arrow"}},"key":"FFEC"}]
+"en/symbols/math_arrows.js": 
+[{"locale":"en"},{"category":"Sm","mappings":{"default":{"default":"left arrow"},"mathspeak":{"sbrief":"L arrow"}},"key":"2190"},{"category":"Sm","mappings":{"default":{"default":"up arrow"},"mathspeak":{"sbrief":"U arrow"}},"key":"2191"},{"category":"Sm","mappings":{"default":{"default":"right arrow"},"mathspeak":{"sbrief":"R arrow"}},"key":"2192"},{"category":"Sm","mappings":{"default":{"default":"down arrow"},"mathspeak":{"sbrief":"D arrow"}},"key":"2193"},{"category":"Sm","mappings":{"default":{"default":"left right arrow"},"mathspeak":{"sbrief":"L R arrow"}},"key":"2194"},{"category":"So","mappings":{"default":{"default":"up down arrow"},"mathspeak":{"sbrief":"U D arrow"}},"key":"2195"},{"category":"So","mappings":{"default":{"default":"up left arrow"},"mathspeak":{"sbrief":"U L arrow"}},"key":"2196"},{"category":"So","mappings":{"default":{"default":"up right arrow"},"mathspeak":{"sbrief":"U R arrow"}},"key":"2197"},{"category":"So","mappings":{"default":{"default":"down right arrow"},"mathspeak":{"sbrief":"D R arrow"}},"key":"2198"},{"category":"So","mappings":{"default":{"default":"down left arrow"},"mathspeak":{"sbrief":"D L arrow"}},"key":"2199"},{"category":"Sm","mappings":{"default":{"default":"left arrow with stroke"},"mathspeak":{"sbrief":"L arrow with stroke"}},"key":"219A"},{"category":"Sm","mappings":{"default":{"default":"right arrow with stroke"},"mathspeak":{"sbrief":"R arrow with stroke"}},"key":"219B"},{"category":"So","mappings":{"default":{"default":"left wave arrow"},"mathspeak":{"sbrief":"L wave arrow"}},"key":"219C"},{"category":"So","mappings":{"default":{"default":"right wave arrow"},"mathspeak":{"sbrief":"R wave arrow"}},"key":"219D"},{"category":"So","mappings":{"default":{"default":"two headed left arrow"},"mathspeak":{"sbrief":"two headed L arrow"}},"key":"219E"},{"category":"So","mappings":{"default":{"default":"two headed up arrow"},"mathspeak":{"sbrief":"two headed U arrow"}},"key":"219F"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow"},"mathspeak":{"sbrief":"two headed R arrow"}},"key":"21A0"},{"category":"So","mappings":{"default":{"default":"two headed down arrow"},"mathspeak":{"sbrief":"two headed D arrow"}},"key":"21A1"},{"category":"So","mappings":{"default":{"default":"left arrow with tail"},"mathspeak":{"sbrief":"L arrow with tail"}},"key":"21A2"},{"category":"Sm","mappings":{"default":{"default":"right arrow with tail"},"mathspeak":{"sbrief":"R arrow with tail"}},"key":"21A3"},{"category":"So","mappings":{"default":{"default":"left arrow from bar"},"mathspeak":{"sbrief":"L arrow from bar"}},"key":"21A4"},{"category":"So","mappings":{"default":{"default":"up arrow from bar"},"mathspeak":{"sbrief":"U arrow from bar"}},"key":"21A5"},{"category":"Sm","mappings":{"default":{"default":"right arrow from bar"},"mathspeak":{"sbrief":"R arrow from bar"}},"key":"21A6"},{"category":"So","mappings":{"default":{"default":"down arrow from bar"},"mathspeak":{"sbrief":"D arrow from bar"}},"key":"21A7"},{"category":"So","mappings":{"default":{"default":"up down arrow with base"},"mathspeak":{"sbrief":"U D arrow with base"}},"key":"21A8"},{"category":"So","mappings":{"default":{"default":"left arrow with hook"},"mathspeak":{"sbrief":"L arrow with hook"}},"key":"21A9"},{"category":"So","mappings":{"default":{"default":"right arrow with hook"},"mathspeak":{"sbrief":"R arrow with hook"}},"key":"21AA"},{"category":"So","mappings":{"default":{"default":"left arrow with loop"},"mathspeak":{"sbrief":"L arrow with loop"}},"key":"21AB"},{"category":"So","mappings":{"default":{"default":"right arrow with loop"},"mathspeak":{"sbrief":"R arrow with loop"}},"key":"21AC"},{"category":"So","mappings":{"default":{"default":"left right wave arrow"},"mathspeak":{"sbrief":"L R wave arrow"}},"key":"21AD"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with stroke"},"mathspeak":{"sbrief":"L R arrow with stroke"}},"key":"21AE"},{"category":"So","mappings":{"default":{"default":"down zigzag arrow"},"mathspeak":{"sbrief":"d zigzag arrow"}},"key":"21AF"},{"category":"So","mappings":{"default":{"default":"up arrow with tip left"},"mathspeak":{"sbrief":"U arrow with tip left"}},"key":"21B0"},{"category":"So","mappings":{"default":{"default":"up arrow with tip right"},"mathspeak":{"sbrief":"U arrow with tip right"}},"key":"21B1"},{"category":"So","mappings":{"default":{"default":"down arrow with tip left"},"mathspeak":{"sbrief":"D arrow with tip left"}},"key":"21B2"},{"category":"So","mappings":{"default":{"default":"down arrow with tip right"},"mathspeak":{"sbrief":"D arrow with tip right"}},"key":"21B3"},{"category":"So","mappings":{"default":{"default":"right arrow with corner down"},"mathspeak":{"sbrief":"R arrow with corner down"}},"key":"21B4"},{"category":"So","mappings":{"default":{"default":"down arrow with corner left"},"mathspeak":{"sbrief":"D arrow with corner left"}},"key":"21B5"},{"category":"So","mappings":{"default":{"default":"anticlockwise top semicircle arrow"}},"key":"21B6"},{"category":"So","mappings":{"default":{"default":"clockwise top semicircle arrow"}},"key":"21B7"},{"category":"So","mappings":{"default":{"default":"up left arrow to long bar"},"mathspeak":{"sbrief":"U L arrow to long bar"}},"key":"21B8"},{"category":"So","mappings":{"default":{"default":"left arrow to bar over right arrow to bar"},"mathspeak":{"sbrief":"L arrow to bar over R arrow to bar"}},"key":"21B9"},{"category":"So","mappings":{"default":{"default":"anticlockwise open circle arrow"}},"key":"21BA"},{"category":"So","mappings":{"default":{"default":"clockwise open circle arrow"}},"key":"21BB"},{"category":"So","mappings":{"default":{"default":"right arrow over left arrow"},"mathspeak":{"sbrief":"R arrow over L arrow"}},"key":"21C4"},{"category":"So","mappings":{"default":{"default":"up arrow left of down arrow"},"mathspeak":{"sbrief":"U arrow L of D arrow"}},"key":"21C5"},{"category":"So","mappings":{"default":{"default":"left arrow over right arrow"},"mathspeak":{"sbrief":"L arrow over R arrow"}},"key":"21C6"},{"category":"So","mappings":{"default":{"default":"left paired arrows"},"mathspeak":{"sbrief":"L paired arrows"}},"key":"21C7"},{"category":"So","mappings":{"default":{"default":"up paired arrows"},"mathspeak":{"sbrief":"U paired arrows"}},"key":"21C8"},{"category":"So","mappings":{"default":{"default":"right paired arrows"},"mathspeak":{"sbrief":"R paired arrows"}},"key":"21C9"},{"category":"So","mappings":{"default":{"default":"down paired arrows"},"mathspeak":{"sbrief":"D paired arrows"}},"key":"21CA"},{"category":"So","mappings":{"default":{"default":"left double arrow with stroke"},"mathspeak":{"sbrief":"L double arrow with stroke"}},"key":"21CD"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow with stroke"},"mathspeak":{"sbrief":"L R double arrow with stroke"}},"key":"21CE"},{"category":"Sm","mappings":{"default":{"default":"right double arrow with stroke"},"mathspeak":{"sbrief":"R double arrow with stroke"}},"key":"21CF"},{"category":"So","mappings":{"default":{"default":"left double arrow"},"mathspeak":{"sbrief":"L double arrow"}},"key":"21D0"},{"category":"So","mappings":{"default":{"default":"up double arrow"},"mathspeak":{"sbrief":"U double arrow"}},"key":"21D1"},{"category":"Sm","mappings":{"default":{"default":"right double arrow"},"mathspeak":{"sbrief":"R double arrow"}},"key":"21D2"},{"category":"So","mappings":{"default":{"default":"down double arrow"},"mathspeak":{"sbrief":"d double arrow"}},"key":"21D3"},{"category":"Sm","mappings":{"default":{"default":"left right double arrow"},"mathspeak":{"sbrief":"L R double arrow"}},"key":"21D4"},{"category":"So","mappings":{"default":{"default":"up down double arrow"},"mathspeak":{"sbrief":"U d double arrow"}},"key":"21D5"},{"category":"So","mappings":{"default":{"default":"up left double arrow"},"mathspeak":{"sbrief":"U L double arrow"}},"key":"21D6"},{"category":"So","mappings":{"default":{"default":"up right double arrow"},"mathspeak":{"sbrief":"U R double arrow"}},"key":"21D7"},{"category":"So","mappings":{"default":{"default":"down right double arrow"},"mathspeak":{"sbrief":"d R double arrow"}},"key":"21D8"},{"category":"So","mappings":{"default":{"default":"down left double arrow"},"mathspeak":{"sbrief":"d L double arrow"}},"key":"21D9"},{"category":"So","mappings":{"default":{"default":"left triple arrow"},"mathspeak":{"sbrief":"L triple arrow"}},"key":"21DA"},{"category":"So","mappings":{"default":{"default":"right triple arrow"},"mathspeak":{"sbrief":"r triple arrow"}},"key":"21DB"},{"category":"So","mappings":{"default":{"default":"left squiggle arrow"},"mathspeak":{"sbrief":"L squiggle arrow"}},"key":"21DC"},{"category":"So","mappings":{"default":{"default":"right squiggle arrow"},"mathspeak":{"sbrief":"r squiggle arrow"}},"key":"21DD"},{"category":"So","mappings":{"default":{"default":"up arrow with double stroke"},"mathspeak":{"sbrief":"U arrow with double stroke"}},"key":"21DE"},{"category":"So","mappings":{"default":{"default":"down arrow with double stroke"},"mathspeak":{"sbrief":"D arrow with double stroke"}},"key":"21DF"},{"category":"So","mappings":{"default":{"default":"left dasheD arrow"},"mathspeak":{"sbrief":"L dasheD arrow"}},"key":"21E0"},{"category":"So","mappings":{"default":{"default":"up dasheD arrow"},"mathspeak":{"sbrief":"U dasheD arrow"}},"key":"21E1"},{"category":"So","mappings":{"default":{"default":"right dasheD arrow"},"mathspeak":{"sbrief":"r dasheD arrow"}},"key":"21E2"},{"category":"So","mappings":{"default":{"default":"down dasheD arrow"},"mathspeak":{"sbrief":"d dasheD arrow"}},"key":"21E3"},{"category":"So","mappings":{"default":{"default":"left arrow to bar"},"mathspeak":{"sbrief":"L arrow to bar"}},"key":"21E4"},{"category":"So","mappings":{"default":{"default":"right arrow to bar"},"mathspeak":{"sbrief":"R arrow to bar"}},"key":"21E5"},{"category":"So","mappings":{"default":{"default":"white left arrow"},"mathspeak":{"sbrief":"white L arrow"}},"key":"21E6"},{"category":"So","mappings":{"default":{"default":"white up arrow"},"mathspeak":{"sbrief":"white U arrow"}},"key":"21E7"},{"category":"So","mappings":{"default":{"default":"white right arrow"},"mathspeak":{"sbrief":"white R arrow"}},"key":"21E8"},{"category":"So","mappings":{"default":{"default":"white down arrow"},"mathspeak":{"sbrief":"white D arrow"}},"key":"21E9"},{"category":"So","mappings":{"default":{"default":"white up arrow from bar"},"mathspeak":{"sbrief":"white U arrow from bar"}},"key":"21EA"},{"category":"So","mappings":{"default":{"default":"white up arrow on pedestal"},"mathspeak":{"sbrief":"white U arrow on pedestal"}},"key":"21EB"},{"category":"So","mappings":{"default":{"default":"white up arrow on pedestal with horizontal bar"},"mathspeak":{"sbrief":"white U arrow on pedestal with horizontal bar"}},"key":"21EC"},{"category":"So","mappings":{"default":{"default":"white up arrow on pedestal with vertical bar"},"mathspeak":{"sbrief":"white U arrow on pedestal with vertical bar"}},"key":"21ED"},{"category":"So","mappings":{"default":{"default":"white double up arrow"},"mathspeak":{"sbrief":"white double U arrow"}},"key":"21EE"},{"category":"So","mappings":{"default":{"default":"white double up arrow on pedestal"},"mathspeak":{"sbrief":"white double U arrow on pedestal"}},"key":"21EF"},{"category":"So","mappings":{"default":{"default":"white right arrow from wall"},"mathspeak":{"sbrief":"white R arrow from wall"}},"key":"21F0"},{"category":"So","mappings":{"default":{"default":"north west arrow to corner"}},"key":"21F1"},{"category":"So","mappings":{"default":{"default":"south east arrow to corner"}},"key":"21F2"},{"category":"So","mappings":{"default":{"default":"up down white arrow"},"mathspeak":{"sbrief":"U d white arrow"}},"key":"21F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with small circle"},"mathspeak":{"sbrief":"R arrow with small circle"}},"key":"21F4"},{"category":"Sm","mappings":{"default":{"default":"down arrow left of up arrow"},"mathspeak":{"sbrief":"D arrow l of U arrow"}},"key":"21F5"},{"category":"Sm","mappings":{"default":{"default":"three right arrows"},"mathspeak":{"sbrief":"three R arrows"}},"key":"21F6"},{"category":"Sm","mappings":{"default":{"default":"left arrow with vertical stroke"},"mathspeak":{"sbrief":"L arrow with vertical stroke"}},"key":"21F7"},{"category":"Sm","mappings":{"default":{"default":"right arrow with vertical stroke"},"mathspeak":{"sbrief":"R arrow with vertical stroke"}},"key":"21F8"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with vertical stroke"},"mathspeak":{"sbrief":"L R arrow with vertical stroke"}},"key":"21F9"},{"category":"Sm","mappings":{"default":{"default":"left arrow with double vertical stroke"},"mathspeak":{"sbrief":"L arrow with double vertical stroke"}},"key":"21FA"},{"category":"Sm","mappings":{"default":{"default":"right arrow with double vertical stroke"},"mathspeak":{"sbrief":"R arrow with double vertical stroke"}},"key":"21FB"},{"category":"Sm","mappings":{"default":{"default":"left right arrow with double vertical stroke"},"mathspeak":{"sbrief":"L R arrow with double vertical stroke"}},"key":"21FC"},{"category":"Sm","mappings":{"default":{"default":"left open headed arrow"},"mathspeak":{"sbrief":"l open headed arrow"}},"key":"21FD"},{"category":"Sm","mappings":{"default":{"default":"right open headed arrow"},"mathspeak":{"sbrief":"r open headed arrow"}},"key":"21FE"},{"category":"Sm","mappings":{"default":{"default":"left right open headed arrow"},"mathspeak":{"sbrief":"L R open headed arrow"}},"key":"21FF"},{"category":"So","mappings":{"default":{"default":"electric arrow"}},"key":"2301"},{"category":"So","mappings":{"default":{"default":"up arrowhead"},"mathspeak":{"sbrief":"U arrowhead"}},"key":"2303"},{"category":"So","mappings":{"default":{"default":"down arrowhead"},"mathspeak":{"sbrief":"D arrowhead"}},"key":"2304"},{"category":"So","mappings":{"default":{"default":"up arrowhead between two horizontal bars","alternative":"enter key"},"mathspeak":{"sbrief":"U arrowhead between two horizontal bars"}},"key":"2324"},{"category":"So","mappings":{"default":{"default":"broken circle with northwest arrow"}},"key":"238B"},{"category":"So","mappings":{"default":{"default":"heavy wide headed right arrow"},"mathspeak":{"sbrief":"heavy wide headed R arrow"}},"key":"2794"},{"category":"So","mappings":{"default":{"default":"heavy down right arrow"},"mathspeak":{"sbrief":"heavy d R arrow"}},"key":"2798"},{"category":"So","mappings":{"default":{"default":"heavy right arrow"},"mathspeak":{"sbrief":"heavy R arrow"}},"key":"2799"},{"category":"So","mappings":{"default":{"default":"heavy up right arrow"},"mathspeak":{"sbrief":"heavy U R arrow"}},"key":"279A"},{"category":"So","mappings":{"default":{"default":"drafting point right arrow"},"mathspeak":{"sbrief":"drafting point R arrow"}},"key":"279B"},{"category":"So","mappings":{"default":{"default":"heavy round tipped right arrow"},"mathspeak":{"sbrief":"heavy round tipped R arrow"}},"key":"279C"},{"category":"So","mappings":{"default":{"default":"triangle headed right arrow"},"mathspeak":{"sbrief":"triangle headed R arrow"}},"key":"279D"},{"category":"So","mappings":{"default":{"default":"heavy triangle headed right arrow"},"mathspeak":{"sbrief":"heavy triangle headed R arrow"}},"key":"279E"},{"category":"So","mappings":{"default":{"default":"dashed triangle headed right arrow"},"mathspeak":{"sbrief":"dashed triangle headed R arrow"}},"key":"279F"},{"category":"So","mappings":{"default":{"default":"heavy dashed triangle headed right arrow"},"mathspeak":{"sbrief":"heavy dashed triangle headed R arrow"}},"key":"27A0"},{"category":"So","mappings":{"default":{"default":"black right arrow"},"mathspeak":{"sbrief":"black R arrow"}},"key":"27A1"},{"category":"So","mappings":{"default":{"default":"three d top lighted right arrowhead"},"mathspeak":{"sbrief":"three d top lighted R arrowhead"}},"key":"27A2"},{"category":"So","mappings":{"default":{"default":"three d bottom lighted right arrowhead"},"mathspeak":{"sbrief":"three d bottom lighted R arrowhead"}},"key":"27A3"},{"category":"So","mappings":{"default":{"default":"black right arrowhead"},"mathspeak":{"sbrief":"black R arrowhead"}},"key":"27A4"},{"category":"So","mappings":{"default":{"default":"heavy black curved down and right arrow"},"mathspeak":{"sbrief":"heavy black curved d and R arrow"}},"key":"27A5"},{"category":"So","mappings":{"default":{"default":"heavy black curved up and right arrow"},"mathspeak":{"sbrief":"heavy black curved U and R arrow"}},"key":"27A6"},{"category":"So","mappings":{"default":{"default":"squat black right arrow"},"mathspeak":{"sbrief":"squat black R arrow"}},"key":"27A7"},{"category":"So","mappings":{"default":{"default":"heavy concave pointed black right arrow"},"mathspeak":{"sbrief":"heavy concave pointed black R arrow"}},"key":"27A8"},{"category":"So","mappings":{"default":{"default":"right shaded white right arrow"},"mathspeak":{"sbrief":"right shaded white R arrow"}},"key":"27A9"},{"category":"So","mappings":{"default":{"default":"left shaded white right arrow"},"mathspeak":{"sbrief":"left shaded white R arrow"}},"key":"27AA"},{"category":"So","mappings":{"default":{"default":"back tilted shadowed white right arrow"},"mathspeak":{"sbrief":"back tilted shadowed white R arrow"}},"key":"27AB"},{"category":"So","mappings":{"default":{"default":"front tilted shadowed white right arrow"},"mathspeak":{"sbrief":"front tilted shadowed white R arrow"}},"key":"27AC"},{"category":"So","mappings":{"default":{"default":"heavy lower right shadowed white right arrow"},"mathspeak":{"sbrief":"heavy lower right shadowed white R arrow"}},"key":"27AD"},{"category":"So","mappings":{"default":{"default":"heavy upper right shadowed white right arrow"},"mathspeak":{"sbrief":"heavy upper right shadowed white R arrow"}},"key":"27AE"},{"category":"So","mappings":{"default":{"default":"notched lower right shadowed white right arrow"},"mathspeak":{"sbrief":"notched lower right shadowed white R arrow"}},"key":"27AF"},{"category":"So","mappings":{"default":{"default":"notched upper right shadowed white right arrow"},"mathspeak":{"sbrief":"notched upper right shadowed white R arrow"}},"key":"27B1"},{"category":"So","mappings":{"default":{"default":"circled heavy white right arrow"},"mathspeak":{"sbrief":"circled heavy white R arrow"}},"key":"27B2"},{"category":"So","mappings":{"default":{"default":"white feathered right arrow"},"mathspeak":{"sbrief":"white feathered R arrow"}},"key":"27B3"},{"category":"So","mappings":{"default":{"default":"black feathered down right arrow"},"mathspeak":{"sbrief":"black feathered d R arrow"}},"key":"27B4"},{"category":"So","mappings":{"default":{"default":"black feathered right arrow"},"mathspeak":{"sbrief":"black feathered R arrow"}},"key":"27B5"},{"category":"So","mappings":{"default":{"default":"black feathered up right arrow"},"mathspeak":{"sbrief":"black feathered U R arrow"}},"key":"27B6"},{"category":"So","mappings":{"default":{"default":"heavy black feathered down right arrow"},"mathspeak":{"sbrief":"heavy black feathered d R arrow"}},"key":"27B7"},{"category":"So","mappings":{"default":{"default":"heavy black feathered right arrow"},"mathspeak":{"sbrief":"heavy black feathered R arrow"}},"key":"27B8"},{"category":"So","mappings":{"default":{"default":"heavy black feathered up right arrow"},"mathspeak":{"sbrief":"heavy black feathered U R arrow"}},"key":"27B9"},{"category":"So","mappings":{"default":{"default":"teardrop barbed right arrow"},"mathspeak":{"sbrief":"teardrop barbed R arrow"}},"key":"27BA"},{"category":"So","mappings":{"default":{"default":"heavy teardrop shanked right arrow"},"mathspeak":{"sbrief":"heavy teardrop shanked R arrow"}},"key":"27BB"},{"category":"So","mappings":{"default":{"default":"wedge tailed right arrow"},"mathspeak":{"sbrief":"wedge tailed R arrow"}},"key":"27BC"},{"category":"So","mappings":{"default":{"default":"heavy wedge tailed right arrow"},"mathspeak":{"sbrief":"heavy wedge tailed R arrow"}},"key":"27BD"},{"category":"So","mappings":{"default":{"default":"open outlined right arrow"},"mathspeak":{"sbrief":"open outlined R arrow"}},"key":"27BE"},{"category":"Sm","mappings":{"default":{"default":"up quadruple arrow"},"mathspeak":{"sbrief":"U quadruple arrow"}},"key":"27F0"},{"category":"Sm","mappings":{"default":{"default":"down quadruple arrow"},"mathspeak":{"sbrief":"d quadrule arrow"}},"key":"27F1"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise gapped circle arrow"}},"key":"27F2"},{"category":"Sm","mappings":{"default":{"default":"clockwise gapped circle arrow"}},"key":"27F3"},{"category":"Sm","mappings":{"default":{"default":"right arrow with circled plus"},"mathspeak":{"sbrief":"R arrow with circled plus"}},"key":"27F4"},{"category":"Sm","mappings":{"default":{"default":"long left arrow"},"mathspeak":{"sbrief":"long L arrow"}},"key":"27F5"},{"category":"Sm","mappings":{"default":{"default":"long right arrow"},"mathspeak":{"sbrief":"long R arrow"}},"key":"27F6"},{"category":"Sm","mappings":{"default":{"default":"long left right arrow"},"mathspeak":{"sbrief":"long L R arrow"}},"key":"27F7"},{"category":"Sm","mappings":{"default":{"default":"long left double arrow"},"mathspeak":{"sbrief":"long l double arrow"}},"key":"27F8"},{"category":"Sm","mappings":{"default":{"default":"long right double arrow"},"mathspeak":{"sbrief":"long R double arrow"}},"key":"27F9"},{"category":"Sm","mappings":{"default":{"default":"long left right double arrow"},"mathspeak":{"sbrief":"long L R double arrow"}},"key":"27FA"},{"category":"Sm","mappings":{"default":{"default":"long left arrow from bar"},"mathspeak":{"sbrief":"long L arrow from bar"}},"key":"27FB"},{"category":"Sm","mappings":{"default":{"default":"long right arrow from bar"},"mathspeak":{"sbrief":"long R arrow from bar"}},"key":"27FC"},{"category":"Sm","mappings":{"default":{"default":"long left double arrow from bar"},"mathspeak":{"sbrief":"long l double arrow from bar"}},"key":"27FD"},{"category":"Sm","mappings":{"default":{"default":"long right double arrow from bar"},"mathspeak":{"sbrief":"long R double arrow from bar"}},"key":"27FE"},{"category":"Sm","mappings":{"default":{"default":"long right squiggle arrow"},"mathspeak":{"sbrief":"long r squiggle arrow"}},"key":"27FF"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow with vertical stroke"},"mathspeak":{"sbrief":"two headed R arrow with vertical stroke"}},"key":"2900"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow with double vertical stroke"},"mathspeak":{"sbrief":"two headed R arrow with double vertical stroke"}},"key":"2901"},{"category":"Sm","mappings":{"default":{"default":"double left arrow with vertical stroke"},"mathspeak":{"sbrief":"double L arrow with vertical stroke"}},"key":"2902"},{"category":"Sm","mappings":{"default":{"default":"double right arrow with vertical stroke"},"mathspeak":{"sbrief":"double R arrow with vertical stroke"}},"key":"2903"},{"category":"Sm","mappings":{"default":{"default":"double left right arrow with vertical stroke"},"mathspeak":{"sbrief":"double L R arrow with vertical stroke"}},"key":"2904"},{"category":"Sm","mappings":{"default":{"default":"two headed right arrow from bar"},"mathspeak":{"sbrief":"two headed R arrow from bar"}},"key":"2905"},{"category":"Sm","mappings":{"default":{"default":"double left arrow from bar"},"mathspeak":{"sbrief":"double L arrow from bar"}},"key":"2906"},{"category":"Sm","mappings":{"default":{"default":"double right arrow from bar"},"mathspeak":{"sbrief":"double R arrow from bar"}},"key":"2907"},{"category":"Sm","mappings":{"default":{"default":"arrow down with horizontal stroke"}},"key":"2908"},{"category":"Sm","mappings":{"default":{"default":"up arrow with horizontal stroke"},"mathspeak":{"sbrief":"U arrow with horizontal stroke"}},"key":"2909"},{"category":"Sm","mappings":{"default":{"default":"up triple arrow"},"mathspeak":{"sbrief":"U triple arrow"}},"key":"290A"},{"category":"Sm","mappings":{"default":{"default":"down triple arrow"},"mathspeak":{"sbrief":"d triple arrow"}},"key":"290B"},{"category":"Sm","mappings":{"default":{"default":"left double dash arrow"},"mathspeak":{"sbrief":"l double dash arrow"}},"key":"290C"},{"category":"Sm","mappings":{"default":{"default":"right double dash arrow"},"mathspeak":{"sbrief":"R double dash arrow"}},"key":"290D"},{"category":"Sm","mappings":{"default":{"default":"left triple dash arrow"},"mathspeak":{"sbrief":"l triple dash arrow"}},"key":"290E"},{"category":"Sm","mappings":{"default":{"default":"right triple dash arrow"},"mathspeak":{"sbrief":"r triple dash arrow"}},"key":"290F"},{"category":"Sm","mappings":{"default":{"default":"right two headed triple dash arrow"},"mathspeak":{"sbrief":"r two headed triple dash arrow"}},"key":"2910"},{"category":"Sm","mappings":{"default":{"default":"right arrow with dotted stem"},"mathspeak":{"sbrief":"R arrow with dotted stem"}},"key":"2911"},{"category":"Sm","mappings":{"default":{"default":"up arrow to bar"},"mathspeak":{"sbrief":"U arrow to bar"}},"key":"2912"},{"category":"Sm","mappings":{"default":{"default":"down arrow to bar"},"mathspeak":{"sbrief":"D arrow to bar"}},"key":"2913"},{"category":"Sm","mappings":{"default":{"default":"right arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"R arrow with tail with vertical stroke"}},"key":"2914"},{"category":"Sm","mappings":{"default":{"default":"right arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"R arrow with tail with double vertical stroke"}},"key":"2915"},{"category":"Sm","mappings":{"default":{"default":"right two headed arrow with tail"},"mathspeak":{"sbrief":"r two headed arrow with tail"}},"key":"2916"},{"category":"Sm","mappings":{"default":{"default":"right two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with vertical stroke"}},"key":"2917"},{"category":"Sm","mappings":{"default":{"default":"right two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"r two headed arrow with tail with double vertical stroke"}},"key":"2918"},{"category":"Sm","mappings":{"default":{"default":"left arrow tail"},"mathspeak":{"sbrief":"L arrow tail"}},"key":"2919"},{"category":"Sm","mappings":{"default":{"default":"right arrow tail"},"mathspeak":{"sbrief":"R arrow tail"}},"key":"291A"},{"category":"Sm","mappings":{"default":{"default":"left double arrow tail"},"mathspeak":{"sbrief":"l double arrow tail"}},"key":"291B"},{"category":"Sm","mappings":{"default":{"default":"right double arrow tail"},"mathspeak":{"sbrief":"R double arrow tail"}},"key":"291C"},{"category":"Sm","mappings":{"default":{"default":"left arrow to black diamond"},"mathspeak":{"sbrief":"L arrow to black diamond"}},"key":"291D"},{"category":"Sm","mappings":{"default":{"default":"right arrow to black diamond"},"mathspeak":{"sbrief":"R arrow to black diamond"}},"key":"291E"},{"category":"Sm","mappings":{"default":{"default":"left arrow from bar to black diamond"},"mathspeak":{"sbrief":"L arrow from bar to black diamond"}},"key":"291F"},{"category":"Sm","mappings":{"default":{"default":"right arrow from bar to black diamond"},"mathspeak":{"sbrief":"R arrow from bar to black diamond"}},"key":"2920"},{"category":"Sm","mappings":{"default":{"default":"north west and south east arrow"}},"key":"2921"},{"category":"Sm","mappings":{"default":{"default":"north east and south west arrow"}},"key":"2922"},{"category":"Sm","mappings":{"default":{"default":"north west arrow with hook"}},"key":"2923"},{"category":"Sm","mappings":{"default":{"default":"north east arrow with hook"}},"key":"2924"},{"category":"Sm","mappings":{"default":{"default":"south east arrow with hook"}},"key":"2925"},{"category":"Sm","mappings":{"default":{"default":"south west arrow with hook"}},"key":"2926"},{"category":"Sm","mappings":{"default":{"default":"north west arrow and north east arrow"}},"key":"2927"},{"category":"Sm","mappings":{"default":{"default":"north east arrow and south east arrow"}},"key":"2928"},{"category":"Sm","mappings":{"default":{"default":"south east arrow and south west arrow"}},"key":"2929"},{"category":"Sm","mappings":{"default":{"default":"south west arrow and north west arrow"}},"key":"292A"},{"category":"Sm","mappings":{"default":{"default":"south east arrow crossing north east arrow"}},"key":"292D"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing south east arrow"}},"key":"292E"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing north east arrow"}},"key":"292F"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing south east arrow"}},"key":"2930"},{"category":"Sm","mappings":{"default":{"default":"north east arrow crossing north west arrow"}},"key":"2931"},{"category":"Sm","mappings":{"default":{"default":"north west arrow crossing north east arrow"}},"key":"2932"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly right"}},"key":"2933"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing right then curving up"}},"key":"2934"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing right then curving down"}},"key":"2935"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing down then curving left"}},"key":"2936"},{"category":"Sm","mappings":{"default":{"default":"arrow pointing down then curving right"}},"key":"2937"},{"category":"Sm","mappings":{"default":{"default":"right side arc clockwise arrow"},"mathspeak":{"sbrief":"r side arc clockwise arrow"}},"key":"2938"},{"category":"Sm","mappings":{"default":{"default":"left side arc anticlockwise arrow"},"mathspeak":{"sbrief":"l side arc anticlockwise arrow"}},"key":"2939"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow"}},"key":"293A"},{"category":"Sm","mappings":{"default":{"default":"bottom arc anticlockwise arrow"}},"key":"293B"},{"category":"Sm","mappings":{"default":{"default":"top arc clockwise arrow with minus"}},"key":"293C"},{"category":"Sm","mappings":{"default":{"default":"top arc anticlockwise arrow with plus"}},"key":"293D"},{"category":"Sm","mappings":{"default":{"default":"down right semicircular clockwise arrow"},"mathspeak":{"sbrief":"d r semicircular clockwise arrow"}},"key":"293E"},{"category":"Sm","mappings":{"default":{"default":"down left semicircular anticlockwise arrow"},"mathspeak":{"sbrief":"d l semicircular anticlockwise arrow"}},"key":"293F"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise closed circle arrow"}},"key":"2940"},{"category":"Sm","mappings":{"default":{"default":"clockwise closed circle arrow"}},"key":"2941"},{"category":"Sm","mappings":{"default":{"default":"right arrow above short left arrow"},"mathspeak":{"sbrief":"R arrow above short L arrow"}},"key":"2942"},{"category":"Sm","mappings":{"default":{"default":"left arrow above short right arrow"},"mathspeak":{"sbrief":"L arrow above short R arrow"}},"key":"2943"},{"category":"Sm","mappings":{"default":{"default":"short right arrow above left arrow"},"mathspeak":{"sbrief":"short R arrow above L arrow"}},"key":"2944"},{"category":"Sm","mappings":{"default":{"default":"right arrow with plus below"},"mathspeak":{"sbrief":"R arrow with plus below"}},"key":"2945"},{"category":"Sm","mappings":{"default":{"default":"left arrow with plus below"},"mathspeak":{"sbrief":"L arrow with plus below"}},"key":"2946"},{"category":"Sm","mappings":{"default":{"default":"right arrow through x"},"mathspeak":{"sbrief":"R arrow through x"}},"key":"2947"},{"category":"Sm","mappings":{"default":{"default":"left right arrow through small circle"},"mathspeak":{"sbrief":"L R arrow through small circle"}},"key":"2948"},{"category":"Sm","mappings":{"default":{"default":"up two headed arrow from small circle"},"mathspeak":{"sbrief":"U two headed arrow from small circle"}},"key":"2949"},{"category":"Sm","mappings":{"default":{"default":"right double arrow with rounded head"},"mathspeak":{"sbrief":"R double arrow with rounded head"}},"key":"2970"},{"category":"Sm","mappings":{"default":{"default":"equals sign above right arrow"},"mathspeak":{"sbrief":"equals sign above R arrow"}},"key":"2971"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above right arrow"},"mathspeak":{"sbrief":"tilde operator above R arrow"}},"key":"2972"},{"category":"Sm","mappings":{"default":{"default":"left arrow above tilde operator"},"mathspeak":{"sbrief":"L arrow above tilde operator"}},"key":"2973"},{"category":"Sm","mappings":{"default":{"default":"right arrow above tilde operator"},"mathspeak":{"sbrief":"R arrow above tilde operator"}},"key":"2974"},{"category":"Sm","mappings":{"default":{"default":"right arrow above almost equals"},"mathspeak":{"sbrief":"R arrow above almost equals"}},"key":"2975"},{"category":"Sm","mappings":{"default":{"default":"less than above left arrow"},"mathspeak":{"sbrief":"less than above L arrow"}},"key":"2976"},{"category":"Sm","mappings":{"default":{"default":"left arrow through less than"},"mathspeak":{"sbrief":"L arrow through less than"}},"key":"2977"},{"category":"Sm","mappings":{"default":{"default":"greater than above right arrow"},"mathspeak":{"sbrief":"greater than above R arrow"}},"key":"2978"},{"category":"Sm","mappings":{"default":{"default":"subset above right arrow"},"mathspeak":{"sbrief":"subset above R arrow"}},"key":"2979"},{"category":"Sm","mappings":{"default":{"default":"left arrow through subset"},"mathspeak":{"sbrief":"L arrow through subset"}},"key":"297A"},{"category":"Sm","mappings":{"default":{"default":"superset above left arrow"},"mathspeak":{"sbrief":"suerset above L arrow"}},"key":"297B"},{"category":"Sm","mappings":{"default":{"default":"empty set with right arrow above"},"mathspeak":{"sbrief":"empty set with R arrow above"}},"key":"29B3"},{"category":"Sm","mappings":{"default":{"default":"empty set with left arrow above"},"mathspeak":{"sbrief":"empty set with L arrow above"}},"key":"29B4"},{"category":"Sm","mappings":{"default":{"default":"up arrow through circle"},"mathspeak":{"sbrief":"U arrow through circle"}},"key":"29BD"},{"category":"Sm","mappings":{"default":{"default":"black diamond with down arrow"},"mathspeak":{"sbrief":"black diamond with D arrow"}},"key":"29EA"},{"category":"Sm","mappings":{"default":{"default":"white circle with down arrow"},"mathspeak":{"sbrief":"white circle with D arrow"}},"key":"29EC"},{"category":"Sm","mappings":{"default":{"default":"black circle with down arrow"},"mathspeak":{"sbrief":"black circle with D arrow"}},"key":"29ED"},{"category":"Sm","mappings":{"default":{"default":"integral with left arrow with hook"},"mathspeak":{"sbrief":"integral with L arrow with hook"}},"key":"2A17"},{"category":"So","mappings":{"default":{"default":"north east white arrow"}},"key":"2B00"},{"category":"So","mappings":{"default":{"default":"north west white arrow"}},"key":"2B01"},{"category":"So","mappings":{"default":{"default":"south east white arrow"}},"key":"2B02"},{"category":"So","mappings":{"default":{"default":"south west white arrow"}},"key":"2B03"},{"category":"So","mappings":{"default":{"default":"left right white arrow"},"mathspeak":{"sbrief":"L R white arrow"}},"key":"2B04"},{"category":"So","mappings":{"default":{"default":"left black arrow"},"mathspeak":{"sbrief":"L black arrow"}},"key":"2B05"},{"category":"So","mappings":{"default":{"default":"up black arrow"},"mathspeak":{"sbrief":"U black arrow"}},"key":"2B06"},{"category":"So","mappings":{"default":{"default":"down black arrow"},"mathspeak":{"sbrief":"D black arrow"}},"key":"2B07"},{"category":"So","mappings":{"default":{"default":"north east black arrow"}},"key":"2B08"},{"category":"So","mappings":{"default":{"default":"north west black arrow"}},"key":"2B09"},{"category":"So","mappings":{"default":{"default":"south east black arrow"}},"key":"2B0A"},{"category":"So","mappings":{"default":{"default":"south west black arrow"}},"key":"2B0B"},{"category":"So","mappings":{"default":{"default":"left right black arrow"},"mathspeak":{"sbrief":"L R black arrow"}},"key":"2B0C"},{"category":"So","mappings":{"default":{"default":"up down black arrow"},"mathspeak":{"sbrief":"U D black arrow"}},"key":"2B0D"},{"category":"So","mappings":{"default":{"default":"right arrow with tip down"},"mathspeak":{"sbrief":"R arrow with tip down"}},"key":"2B0E"},{"category":"So","mappings":{"default":{"default":"right arrow with tip up"},"mathspeak":{"sbrief":"R arrow with tip up"}},"key":"2B0F"},{"category":"So","mappings":{"default":{"default":"left arrow with tip down"},"mathspeak":{"sbrief":"L arrow with tip down"}},"key":"2B10"},{"category":"So","mappings":{"default":{"default":"left arrow with tip up"},"mathspeak":{"sbrief":"L arrow with tip up"}},"key":"2B11"},{"category":"Sm","mappings":{"default":{"default":"left arrow with small circle"},"mathspeak":{"sbrief":"L arrow with small circle"}},"key":"2B30"},{"category":"Sm","mappings":{"default":{"default":"three left arrows"},"mathspeak":{"sbrief":"three L arrows"}},"key":"2B31"},{"category":"Sm","mappings":{"default":{"default":"left arrow with circled plus"},"mathspeak":{"sbrief":"L arrow with circled plus"}},"key":"2B32"},{"category":"Sm","mappings":{"default":{"default":"long left squiggle arrow"},"mathspeak":{"sbrief":"long l squiggle arrow"}},"key":"2B33"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with vertical stroke"}},"key":"2B34"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with double vertical stroke"}},"key":"2B35"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow from bar"},"mathspeak":{"sbrief":"l two headed arrow from bar"}},"key":"2B36"},{"category":"Sm","mappings":{"default":{"default":"left two headed triple dash arrow"},"mathspeak":{"sbrief":"l two headed triple dash arrow"}},"key":"2B37"},{"category":"Sm","mappings":{"default":{"default":"left arrow with dotted stem"},"mathspeak":{"sbrief":"L arrow with dotted stem"}},"key":"2B38"},{"category":"Sm","mappings":{"default":{"default":"left arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"L arrow with tail with vertical stroke"}},"key":"2B39"},{"category":"Sm","mappings":{"default":{"default":"left arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"L arrow with tail with double vertical stroke"}},"key":"2B3A"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with tail"},"mathspeak":{"sbrief":"l two headed arrow with tail"}},"key":"2B3B"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with tail with vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with vertical stroke"}},"key":"2B3C"},{"category":"Sm","mappings":{"default":{"default":"left two headed arrow with tail with double vertical stroke"},"mathspeak":{"sbrief":"l two headed arrow with tail with double vertical stroke"}},"key":"2B3D"},{"category":"Sm","mappings":{"default":{"default":"left arrow through x"},"mathspeak":{"sbrief":"L arrow through x"}},"key":"2B3E"},{"category":"Sm","mappings":{"default":{"default":"wave arrow pointing directly left"}},"key":"2B3F"},{"category":"Sm","mappings":{"default":{"default":"equals sign above left arrow"},"mathspeak":{"sbrief":"equals sign above L arrow"}},"key":"2B40"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above left arrow"},"mathspeak":{"sbrief":"reverse tilde operator above L arrow"}},"key":"2B41"},{"category":"Sm","mappings":{"default":{"default":"left arrow above reverse almost equals"},"mathspeak":{"sbrief":"L arrow above reverse almost equals"}},"key":"2B42"},{"category":"Sm","mappings":{"default":{"default":"right arrow through greater than"},"mathspeak":{"sbrief":"R arrow through greater than"}},"key":"2B43"},{"category":"Sm","mappings":{"default":{"default":"right arrow through superset"},"mathspeak":{"sbrief":"R arrow through superset"}},"key":"2B44"},{"category":"So","mappings":{"default":{"default":"left quadruple arrow"},"mathspeak":{"sbrief":"l quadrule arrow"}},"key":"2B45"},{"category":"So","mappings":{"default":{"default":"right quadruple arrow"},"mathspeak":{"sbrief":"r quadrule arrow"}},"key":"2B46"},{"category":"Sm","mappings":{"default":{"default":"reverse tilde operator above right arrow"},"mathspeak":{"sbrief":"reverse tilde operator above R arrow"}},"key":"2B47"},{"category":"Sm","mappings":{"default":{"default":"right arrow above reverse almost equals"},"mathspeak":{"sbrief":"R arrow above reverse almost equals"}},"key":"2B48"},{"category":"Sm","mappings":{"default":{"default":"tilde operator above left arrow"},"mathspeak":{"sbrief":"tilde operator above L arrow"}},"key":"2B49"},{"category":"Sm","mappings":{"default":{"default":"left arrow above almost equals"},"mathspeak":{"sbrief":"L arrow above almost equals"}},"key":"2B4A"},{"category":"Sm","mappings":{"default":{"default":"left arrow above reverse tilde operator"},"mathspeak":{"sbrief":"L arrow above reverse tilde operator"}},"key":"2B4B"},{"category":"Sm","mappings":{"default":{"default":"right arrow above reverse tilde operator"},"mathspeak":{"sbrief":"R arrow above reverse tilde operator"}},"key":"2B4C"},{"category":"Sm","mappings":{"default":{"default":"halfwidth left arrow"},"mathspeak":{"sbrief":"halfwidth L arrow"}},"key":"FFE9"},{"category":"Sm","mappings":{"default":{"default":"halfwidth up arrow"},"mathspeak":{"sbrief":"halfwidth U arrow"}},"key":"FFEA"},{"category":"Sm","mappings":{"default":{"default":"halfwidth right arrow"},"mathspeak":{"sbrief":"halfwidth R arrow"}},"key":"FFEB"},{"category":"Sm","mappings":{"default":{"default":"halfwidth down arrow"},"mathspeak":{"sbrief":"halfwidth D arrow"}},"key":"FFEC"}]
+,
+"en/symbols/math_characters.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"script l"}},"key":"2113"},{"category":"Sm","mappings":{"default":{"default":"script cap P"},"mathspeak":{"default":"script upper P"}},"key":"2118"},{"category":"Ll","mappings":{"default":{"default":"double struck pi"}},"key":"213C"},{"category":"Ll","mappings":{"default":{"default":"double struck gamma"}},"key":"213D"},{"category":"Lu","mappings":{"default":{"default":"double struck cap Gamma"},"mathspeak":{"default":"double struck upper Gamma"}},"key":"213E"},{"category":"Lu","mappings":{"default":{"default":"double struck cap Pi"},"mathspeak":{"default":"double struck upper Pi"}},"key":"213F"},{"category":"Sm","mappings":{"default":{"default":"double struck sum"},"mathspeak":{"default":"double struck sigma summation"}},"key":"2140"},{"category":"Lu","mappings":{"default":{"default":"double struck italic cap D"},"mathspeak":{"default":"double struck italic upper D"}},"key":"2145"},{"category":"Ll","mappings":{"default":{"default":"double struck italic d"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"double struck italic e"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"double struck italic i"}},"key":"2148"},{"category":"Ll","mappings":{"default":{"default":"double struck italic j"}},"key":"2149"},{"category":"Ll","mappings":{"default":{"default":"italic dotless i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"italic dotless j"}},"key":"1D6A5"}]
 ,
-"en/math_characters.js": 
-[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"script small l","short":"script l"}},"key":"2113"},{"category":"Sm","mappings":{"default":{"default":"script capital p","alternative":"script p","short":"script cap p"},"mathspeak":{"default":"script upper P"}},"key":"2118"},{"category":"Ll","mappings":{"default":{"default":"double struck small pi","short":"double struck pi"}},"key":"213C"},{"category":"Ll","mappings":{"default":{"default":"double struck small gamma","short":"double struck gamma"}},"key":"213D"},{"category":"Lu","mappings":{"default":{"default":"double struck capital gamma","short":"double struck cap gamma"},"mathspeak":{"default":"double struck upper Gamma"}},"key":"213E"},{"category":"Lu","mappings":{"default":{"default":"double struck capital pi","short":"double struck cap pi"},"mathspeak":{"default":"double struck upper Pi"}},"key":"213F"},{"category":"Sm","mappings":{"default":{"default":"double struck n ary summation"}},"key":"2140"},{"category":"Lu","mappings":{"default":{"default":"double struck italic capital d","short":"double struck italic cap d"},"mathspeak":{"default":"double struck italic upper D"}},"key":"2145"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small d","short":"double struck italic d"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small e","short":"double struck italic e"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small i","short":"double struck italic i"}},"key":"2148"},{"category":"Ll","mappings":{"default":{"default":"double struck italic small j","short":"double struck italic j"}},"key":"2149"},{"category":"Ll","mappings":{"default":{"default":"italic small dotless i","short":"italic dotless i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"italic small dotless j","short":"italic dotless j"}},"key":"1D6A5"}]
+"en/symbols/math_delimiters.js": 
+[{"locale":"en"},{"category":"Ps","mappings":{"default":{"default":"left parenthesis"},"mathspeak":{"brief":"left p'ren","sbrief":"L p'ren"},"clearspeak":{"default":"open paren"}},"key":"0028"},{"category":"Pe","mappings":{"default":{"default":"right parenthesis"},"mathspeak":{"brief":"right p'ren","sbrief":"R p'ren"},"clearspeak":{"default":"close paren"}},"key":"0029"},{"category":"Ps","mappings":{"default":{"default":"left bracket"},"mathspeak":{"brief":"left brack","sbrief":"L brack"},"clearspeak":{"default":"open bracket"}},"key":"005B"},{"category":"Pe","mappings":{"default":{"default":"right bracket"},"mathspeak":{"brief":"right brack","sbrief":"R brack"},"clearspeak":{"default":"close bracket"}},"key":"005D"},{"category":"Ps","mappings":{"default":{"default":"left brace"},"mathspeak":{"sbrief":"L brace"},"clearspeak":{"default":"open brace"}},"key":"007B"},{"category":"Pe","mappings":{"default":{"default":"right brace"},"mathspeak":{"sbrief":"R brace"},"clearspeak":{"default":"close brace"}},"key":"007D"},{"category":"Ps","mappings":{"default":{"default":"left bracket with quill"},"mathspeak":{"brief":"left brack with quill","sbrief":"L brack with quill"}},"key":"2045"},{"category":"Pe","mappings":{"default":{"default":"right bracket with quill"},"mathspeak":{"brief":"right brack with quill","sbrief":"R brack with quill"}},"key":"2046"},{"category":"Sm","mappings":{"default":{"default":"left ceiling"}},"key":"2308"},{"category":"Sm","mappings":{"default":{"default":"right ceiling"}},"key":"2309"},{"category":"Sm","mappings":{"default":{"default":"left floor"}},"key":"230A"},{"category":"Sm","mappings":{"default":{"default":"right floor"}},"key":"230B"},{"category":"So","mappings":{"default":{"default":"bottom right crop"}},"key":"230C"},{"category":"So","mappings":{"default":{"default":"bottom left crop"}},"key":"230D"},{"category":"So","mappings":{"default":{"default":"top right crop"}},"key":"230E"},{"category":"So","mappings":{"default":{"default":"top left crop"}},"key":"230F"},{"category":"So","mappings":{"default":{"default":"top left corner"}},"key":"231C"},{"category":"So","mappings":{"default":{"default":"top right corner"}},"key":"231D"},{"category":"So","mappings":{"default":{"default":"bottom left corner"}},"key":"231E"},{"category":"So","mappings":{"default":{"default":"bottom right corner"}},"key":"231F"},{"category":"Sm","mappings":{"default":{"default":"top half integral"}},"key":"2320"},{"category":"Sm","mappings":{"default":{"default":"bottom half integral"}},"key":"2321"},{"category":"Ps","mappings":{"default":{"default":"left pointing angle bracket","physics":"bra"}},"key":"2329"},{"category":"Pe","mappings":{"default":{"default":"right pointing angle bracket","physics":"ket"}},"key":"232A"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis upper hook"},"mathspeak":{"brief":"left p'ren upper hook","sbrief":"L p'ren upper hook"}},"key":"239B"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis extension"},"mathspeak":{"brief":"left p'ren extension","sbrief":"L p'ren extension"}},"key":"239C"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis lower hook"},"mathspeak":{"brief":"left p'ren lower hook","sbrief":"L p'ren lower hook"}},"key":"239D"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis upper hook"},"mathspeak":{"brief":"right p'ren upper hook","sbrief":"R p'ren upper hook"}},"key":"239E"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis extension"},"mathspeak":{"brief":"right p'ren extension","sbrief":"R p'ren extension"}},"key":"239F"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis lower hook"},"mathspeak":{"brief":"right p'ren lower hook","sbrief":"R p'ren lower hook"}},"key":"23A0"},{"category":"Sm","mappings":{"default":{"default":"left bracket upper corner"},"mathspeak":{"brief":"left brack upper corner","sbrief":"L brack upper corner"}},"key":"23A1"},{"category":"Sm","mappings":{"default":{"default":"left bracket extension"},"mathspeak":{"brief":"left brack extension","sbrief":"L brack extension"}},"key":"23A2"},{"category":"Sm","mappings":{"default":{"default":"left bracket lower corner"},"mathspeak":{"brief":"left brack lower corner","sbrief":"L brack lower corner"}},"key":"23A3"},{"category":"Sm","mappings":{"default":{"default":"right bracket upper corner"},"mathspeak":{"brief":"right brack upper corner","sbrief":"R brack upper corner"}},"key":"23A4"},{"category":"Sm","mappings":{"default":{"default":"right bracket extension"},"mathspeak":{"brief":"right brack extension","sbrief":"R brack extension"}},"key":"23A5"},{"category":"Sm","mappings":{"default":{"default":"right bracket lower corner"},"mathspeak":{"brief":"right brack lower corner","sbrief":"R brack lower corner"}},"key":"23A6"},{"category":"Sm","mappings":{"default":{"default":"left brace upper hook"},"mathspeak":{"sbrief":"L brace upper hook"}},"key":"23A7"},{"category":"Sm","mappings":{"default":{"default":"left brace middle piece"},"mathspeak":{"sbrief":"L brace middle piece"}},"key":"23A8"},{"category":"Sm","mappings":{"default":{"default":"left brace lower hook"},"mathspeak":{"sbrief":"L brace lower hook"}},"key":"23A9"},{"category":"Sm","mappings":{"default":{"default":"brace extension"}},"key":"23AA"},{"category":"Sm","mappings":{"default":{"default":"right brace upper hook"},"mathspeak":{"sbrief":"R brace upper hook"}},"key":"23AB"},{"category":"Sm","mappings":{"default":{"default":"right brace middle piece"},"mathspeak":{"sbrief":"R brace middle piece"}},"key":"23AC"},{"category":"Sm","mappings":{"default":{"default":"right brace lower hook"},"mathspeak":{"sbrief":"R brace lower hook"}},"key":"23AD"},{"category":"Sm","mappings":{"default":{"default":"integral extension"}},"key":"23AE"},{"category":"Sm","mappings":{"default":{"default":"horizontal line extension"}},"key":"23AF"},{"category":"Sm","mappings":{"default":{"default":"upper left or lower right brace section"}},"key":"23B0"},{"category":"Sm","mappings":{"default":{"default":"upper right or lower left brace section"}},"key":"23B1"},{"category":"Sm","mappings":{"default":{"default":"summation top"}},"key":"23B2"},{"category":"Sm","mappings":{"default":{"default":"summation bottom"}},"key":"23B3"},{"category":"So","mappings":{"default":{"default":"top bracket"},"mathspeak":{"brief":"top brack","sbrief":"T brack"}},"key":"23B4"},{"category":"So","mappings":{"default":{"default":"bottom bracket"},"mathspeak":{"brief":"bottom brack","sbrief":"B brack"}},"key":"23B5"},{"category":"So","mappings":{"default":{"default":"bottom bracket over top bracket"},"mathspeak":{"brief":"bottom brack over top brack","sbrief":"B brack over T brack"}},"key":"23B6"},{"category":"So","mappings":{"default":{"default":"radical symbol bottom"}},"key":"23B7"},{"category":"So","mappings":{"default":{"default":"left vertical box line"}},"key":"23B8"},{"category":"So","mappings":{"default":{"default":"right vertical box line"}},"key":"23B9"},{"category":"Sm","mappings":{"default":{"default":"top parenthesis"},"mathspeak":{"brief":"top p'ren","sbrief":"t p'ren"}},"key":"23DC"},{"category":"Sm","mappings":{"default":{"default":"bottom parenthesis"},"mathspeak":{"brief":"bottom p'ren","sbrief":"b p'ren"}},"key":"23DD"},{"category":"Sm","mappings":{"default":{"default":"top brace"},"mathspeak":{"sbrief":"T brace"}},"key":"23DE"},{"category":"Sm","mappings":{"default":{"default":"bottom brace"},"mathspeak":{"sbrief":"B brace"}},"key":"23DF"},{"category":"Sm","mappings":{"default":{"default":"top tortoise shell bracket"}},"key":"23E0"},{"category":"Sm","mappings":{"default":{"default":"bottom tortoise shell bracket"}},"key":"23E1"},{"category":"Ps","mappings":{"default":{"default":"medium left parenthesis ornament"},"mathspeak":{"brief":"medium left p'ren ornament","sbrief":"medium L p'ren ornament"}},"key":"2768"},{"category":"Pe","mappings":{"default":{"default":"medium right parenthesis ornament"},"mathspeak":{"brief":"medium right p'ren ornament","sbrief":"medium R p'ren ornament"}},"key":"2769"},{"category":"Ps","mappings":{"default":{"default":"medium flattened left parenthesis ornament"},"mathspeak":{"brief":"medium flattened left p'ren ornament","sbrief":"medium flattened L p'ren ornament"}},"key":"276A"},{"category":"Pe","mappings":{"default":{"default":"medium flattened right parenthesis ornament"},"mathspeak":{"brief":"medium flattened right p'ren ornament","sbrief":"medium flattened R p'ren ornament"}},"key":"276B"},{"category":"Ps","mappings":{"default":{"default":"medium left pointing angle bracket ornament"}},"key":"276C"},{"category":"Pe","mappings":{"default":{"default":"medium right pointing angle bracket ornament"}},"key":"276D"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle quotation mark ornament"}},"key":"276E"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle quotation mark ornament"}},"key":"276F"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle bracket ornament"}},"key":"2770"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle bracket ornament"}},"key":"2771"},{"category":"Ps","mappings":{"default":{"default":"light left tortoise shell bracket ornament"}},"key":"2772"},{"category":"Pe","mappings":{"default":{"default":"light right tortoise shell bracket ornament"}},"key":"2773"},{"category":"Ps","mappings":{"default":{"default":"medium left brace ornament"},"mathspeak":{"sbrief":"medium L brace ornament"}},"key":"2774"},{"category":"Pe","mappings":{"default":{"default":"medium right brace ornament"},"mathspeak":{"sbrief":"medium R brace ornament"}},"key":"2775"},{"category":"Ps","mappings":{"default":{"default":"left s shaped bag delimiter"}},"key":"27C5"},{"category":"Pe","mappings":{"default":{"default":"right s shaped bag delimiter"}},"key":"27C6"},{"category":"Ps","mappings":{"default":{"default":"left white bracket"}},"key":"27E6"},{"category":"Pe","mappings":{"default":{"default":"right white bracket"}},"key":"27E7"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket"},"mathspeak":{"sbrief":"l angle bracket"}},"key":"27E8"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket"},"mathspeak":{"sbrief":"r angle bracket"}},"key":"27E9"},{"category":"Ps","mappings":{"default":{"default":"left double angle bracket"}},"key":"27EA"},{"category":"Pe","mappings":{"default":{"default":"right double angle bracket"}},"key":"27EB"},{"category":"Ps","mappings":{"default":{"default":"left white tortoise shell bracket"}},"key":"27EC"},{"category":"Pe","mappings":{"default":{"default":"right white tortoise shell bracket"}},"key":"27ED"},{"category":"Ps","mappings":{"default":{"default":"flattened left parenthesis"},"mathspeak":{"brief":"flattened left p'ren","sbrief":"flattened L p'ren"}},"key":"27EE"},{"category":"Pe","mappings":{"default":{"default":"flattened right parenthesis"},"mathspeak":{"brief":"flattened right p'ren","sbrief":"flattened R p'ren"}},"key":"27EF"},{"category":"Ps","mappings":{"default":{"default":"left white brace"}},"key":"2983"},{"category":"Pe","mappings":{"default":{"default":"right white brace"}},"key":"2984"},{"category":"Ps","mappings":{"default":{"default":"white left parenthesis"},"mathspeak":{"brief":"white left p'ren","sbrief":"white L p'ren"}},"key":"2985"},{"category":"Pe","mappings":{"default":{"default":"white right parenthesis"},"mathspeak":{"brief":"white right p'ren","sbrief":"white R p'ren"}},"key":"2986"},{"category":"Ps","mappings":{"default":{"default":"z notation left image bracket"}},"key":"2987"},{"category":"Pe","mappings":{"default":{"default":"z notation right image bracket"}},"key":"2988"},{"category":"Ps","mappings":{"default":{"default":"z notation left binding bracket"}},"key":"2989"},{"category":"Pe","mappings":{"default":{"default":"z notation right binding bracket"}},"key":"298A"},{"category":"Ps","mappings":{"default":{"default":"left bracket with underbar"},"mathspeak":{"brief":"left brack with underbar","sbrief":"L brack with underbar"}},"key":"298B"},{"category":"Pe","mappings":{"default":{"default":"right bracket with underbar"},"mathspeak":{"brief":"right brack with underbar","sbrief":"R brack with underbar"}},"key":"298C"},{"category":"Ps","mappings":{"default":{"default":"left bracket with tick in top corner"},"mathspeak":{"brief":"left brack with tick in top corner","sbrief":"L brack with tick in top corner"}},"key":"298D"},{"category":"Pe","mappings":{"default":{"default":"right bracket with tick in bottom corner"},"mathspeak":{"brief":"right brack with tick in bottom corner","sbrief":"R brack with tick in bottom corner"}},"key":"298E"},{"category":"Ps","mappings":{"default":{"default":"left bracket with tick in bottom corner"},"mathspeak":{"brief":"left brack with tick in bottom corner","sbrief":"L brack with tick in bottom corner"}},"key":"298F"},{"category":"Pe","mappings":{"default":{"default":"right bracket with tick in top corner"},"mathspeak":{"brief":"right brack with tick in top corner","sbrief":"R brack with tick in top corner"}},"key":"2990"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket with dot"},"mathspeak":{"sbrief":"l angle bracket with dot"}},"key":"2991"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket with dot"},"mathspeak":{"sbrief":"r angle bracket with dot"}},"key":"2992"},{"category":"Ps","mappings":{"default":{"default":"left arc less than bracket"}},"key":"2993"},{"category":"Pe","mappings":{"default":{"default":"right arc greater than bracket"}},"key":"2994"},{"category":"Ps","mappings":{"default":{"default":"double left arc greater than bracket"}},"key":"2995"},{"category":"Pe","mappings":{"default":{"default":"double right arc less than bracket"}},"key":"2996"},{"category":"Ps","mappings":{"default":{"default":"left black tortoise shell bracket"}},"key":"2997"},{"category":"Pe","mappings":{"default":{"default":"right black tortoise shell bracket"}},"key":"2998"},{"category":"Ps","mappings":{"default":{"default":"left wiggly fence"}},"key":"29D8"},{"category":"Pe","mappings":{"default":{"default":"right wiggly fence"}},"key":"29D9"},{"category":"Ps","mappings":{"default":{"default":"left double wiggly fence"}},"key":"29DA"},{"category":"Pe","mappings":{"default":{"default":"right double wiggly fence"}},"key":"29DB"},{"category":"Ps","mappings":{"default":{"default":"left pointing curved angle bracket"}},"key":"29FC"},{"category":"Pe","mappings":{"default":{"default":"right pointing curved angle bracket"}},"key":"29FD"},{"category":"Ps","mappings":{"default":{"default":"top half left bracket"},"mathspeak":{"brief":"top half left brack","sbrief":"top half L brack"}},"key":"2E22"},{"category":"Pe","mappings":{"default":{"default":"top half right bracket"},"mathspeak":{"brief":"top half right brack","sbrief":"top half R brack"}},"key":"2E23"},{"category":"Ps","mappings":{"default":{"default":"bottom half left bracket"},"mathspeak":{"brief":"bottom half left brack","sbrief":"bottom half L brack"}},"key":"2E24"},{"category":"Pe","mappings":{"default":{"default":"bottom half right bracket"},"mathspeak":{"brief":"bottom half right brack","sbrief":"bottom half R brack"}},"key":"2E25"},{"category":"Ps","mappings":{"default":{"default":"left sideways U bracket"}},"key":"2E26"},{"category":"Pe","mappings":{"default":{"default":"right sideways U bracket"}},"key":"2E27"},{"category":"Ps","mappings":{"default":{"default":"double left parenthesis"},"mathspeak":{"brief":"double left p'ren","sbrief":"double L p'ren"}},"key":"2E28"},{"category":"Pe","mappings":{"default":{"default":"double right parenthesis"},"mathspeak":{"brief":"double right p'ren","sbrief":"double R p'ren"}},"key":"2E29"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket"},"mathspeak":{"sbrief":"l angle bracket"}},"key":"3008"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket"},"mathspeak":{"sbrief":"r angle bracket"}},"key":"3009"},{"category":"Ps","mappings":{"default":{"default":"left double angle bracket"}},"key":"300A"},{"category":"Pe","mappings":{"default":{"default":"right double angle bracket"}},"key":"300B"},{"category":"Ps","mappings":{"default":{"default":"left corner bracket"}},"key":"300C"},{"category":"Pe","mappings":{"default":{"default":"right corner bracket"}},"key":"300D"},{"category":"Ps","mappings":{"default":{"default":"left white corner bracket"}},"key":"300E"},{"category":"Pe","mappings":{"default":{"default":"right white corner bracket"}},"key":"300F"},{"category":"Ps","mappings":{"default":{"default":"left black lenticular bracket"}},"key":"3010"},{"category":"Pe","mappings":{"default":{"default":"right black lenticular bracket"}},"key":"3011"},{"category":"Ps","mappings":{"default":{"default":"left tortoise shell bracket"}},"key":"3014"},{"category":"Pe","mappings":{"default":{"default":"right tortoise shell bracket"}},"key":"3015"},{"category":"Ps","mappings":{"default":{"default":"left white lenticular bracket"}},"key":"3016"},{"category":"Pe","mappings":{"default":{"default":"right white lenticular bracket"}},"key":"3017"},{"category":"Ps","mappings":{"default":{"default":"left white tortoise shell bracket"}},"key":"3018"},{"category":"Pe","mappings":{"default":{"default":"right white tortoise shell bracket"}},"key":"3019"},{"category":"Ps","mappings":{"default":{"default":"left white bracket"}},"key":"301A"},{"category":"Pe","mappings":{"default":{"default":"right white bracket"}},"key":"301B"},{"category":"Ps","mappings":{"default":{"default":"reversed double prime quotation mark"}},"key":"301D"},{"category":"Pe","mappings":{"default":{"default":"double prime quotation mark"}},"key":"301E"},{"category":"Pe","mappings":{"default":{"default":"low double prime quotation mark"}},"key":"301F"},{"category":"Ps","mappings":{"default":{"default":"ornate left parenthesis"},"mathspeak":{"brief":"ornate left p'ren","sbrief":"ornate L p'ren"}},"key":"FD3E"},{"category":"Pe","mappings":{"default":{"default":"ornate right parenthesis"},"mathspeak":{"brief":"ornate right p'ren","sbrief":"ornate R p'ren"}},"key":"FD3F"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white lenticular bracket"}},"key":"FE17"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white lenticular brakcet"}},"key":"FE18"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left parenthesis"},"mathspeak":{"brief":"presentation form for vertical left p'ren","sbrief":"presentation form for vertical L p'ren"}},"key":"FE35"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right parenthesis"},"mathspeak":{"brief":"presentation form for vertical right p'ren","sbrief":"presentation form for vertical R p'ren"}},"key":"FE36"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left brace"},"mathspeak":{"sbrief":"presentation form for vertical L brace"}},"key":"FE37"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right brace"},"mathspeak":{"sbrief":"presentation form for vertical r brace"}},"key":"FE38"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left tortoise shell bracket"}},"key":"FE39"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right tortoise shell bracket"}},"key":"FE3A"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left black lenticular bracket"}},"key":"FE3B"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right black lenticular bracket"}},"key":"FE3C"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left double angle bracket"}},"key":"FE3D"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right double angle bracket"}},"key":"FE3E"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left angle bracket"},"mathspeak":{"sbrief":"presentation form for vertical l angle bracket"}},"key":"FE3F"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right angle bracket"},"mathspeak":{"sbrief":"presentation form for vertical r angle bracket"}},"key":"FE40"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left corner bracket"}},"key":"FE41"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right corner bracket"}},"key":"FE42"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white corner bracket"}},"key":"FE43"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white corner bracket"}},"key":"FE44"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left bracket"},"mathspeak":{"brief":"presentation form for vertical left brack","sbrief":"presentation form for vertical L brack"}},"key":"FE47"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right bracket"},"mathspeak":{"brief":"presentation form for vertical right brack","sbrief":"presentation form for vertical r brack"}},"key":"FE48"},{"category":"Ps","mappings":{"default":{"default":"small left parenthesis"},"mathspeak":{"brief":"small left p'ren","sbrief":"small L p'ren"}},"key":"FE59"},{"category":"Pe","mappings":{"default":{"default":"small right parenthesis"},"mathspeak":{"brief":"small right p'ren","sbrief":"small R p'ren"}},"key":"FE5A"},{"category":"Ps","mappings":{"default":{"default":"small left brace"},"mathspeak":{"sbrief":"small L brace"}},"key":"FE5B"},{"category":"Pe","mappings":{"default":{"default":"small right brace"},"mathspeak":{"sbrief":"small r brace"}},"key":"FE5C"},{"category":"Ps","mappings":{"default":{"default":"small left tortoise shell bracket"}},"key":"FE5D"},{"category":"Pe","mappings":{"default":{"default":"small right tortoise shell bracket"}},"key":"FE5E"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left parenthesis"},"mathspeak":{"brief":"fullwidth left p'ren","sbrief":"fullwidth L p'ren"}},"key":"FF08"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right parenthesis"},"mathspeak":{"brief":"fullwidth right p'ren","sbrief":"fullwidth R p'ren"}},"key":"FF09"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left bracket"},"mathspeak":{"brief":"fullwidth left brack","sbrief":"fullwidth L brack"}},"key":"FF3B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right bracket"},"mathspeak":{"brief":"fullwidth right brack","sbrief":"fullwidth r brack"}},"key":"FF3D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left brace"},"mathspeak":{"sbrief":"fullwidth L brace"}},"key":"FF5B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right brace"},"mathspeak":{"sbrief":"fullwidth r brace"}},"key":"FF5D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth white left parenthesis"},"mathspeak":{"brief":"fullwidth white left p'ren","sbrief":"fullwidth white L p'ren"}},"key":"FF5F"},{"category":"Pe","mappings":{"default":{"default":"fullwidth white right parenthesis"},"mathspeak":{"brief":"fullwidth white right p'ren","sbrief":"fullwidth white R p'ren"}},"key":"FF60"},{"category":"Ps","mappings":{"default":{"default":"halfwidth left corner bracket"}},"key":"FF62"},{"category":"Pe","mappings":{"default":{"default":"halfwidth right corner bracket"}},"key":"FF63"}]
 ,
-"en/math_delimiters.js": 
-[{"locale":"en"},{"category":"Ps","mappings":{"default":{"default":"left parenthesis","alternative":"opening parenthesis"},"mathspeak":{"default":"left-parenthesis","brief":"left-p'ren","sbrief":"L p'ren"}},"key":"0028"},{"category":"Pe","mappings":{"default":{"default":"right parenthesis","alternative":"closing parenthesis"},"mathspeak":{"default":"right-parenthesis","brief":"right-p'ren","sbrief":"R p'ren"}},"key":"0029"},{"category":"Ps","mappings":{"default":{"default":"left square bracket","alternative":"opening square bracket"},"mathspeak":{"default":"left-bracket","brief":"left-brack","sbrief":"L brack"}},"key":"005B"},{"category":"Pe","mappings":{"default":{"default":"right square bracket","alternative":"closing square bracket"},"mathspeak":{"default":"right-bracket","brief":"right-brack","sbrief":"R brack"}},"key":"005D"},{"category":"Ps","mappings":{"default":{"default":"left curly bracket","alternative":"opening curly bracket"},"mathspeak":{"default":"left-brace","sbrief":"L brace"}},"key":"007B"},{"category":"Pe","mappings":{"default":{"default":"right curly bracket","alternative":"closing curly bracket"},"mathspeak":{"default":"right-brace","sbrief":"R brace"}},"key":"007D"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with quill"},"mathspeak":{"default":"left-bracket with quill","brief":"left-brack with quill","sbrief":"L brack with quill"}},"key":"2045"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with quill"},"mathspeak":{"default":"right-bracket with quill","brief":"right-brack with quill","sbrief":"R brack with quill"}},"key":"2046"},{"category":"Sm","mappings":{"default":{"default":"left ceiling"}},"key":"2308"},{"category":"Sm","mappings":{"default":{"default":"right ceiling"}},"key":"2309"},{"category":"Sm","mappings":{"default":{"default":"left floor"}},"key":"230A"},{"category":"Sm","mappings":{"default":{"default":"right floor"}},"key":"230B"},{"category":"So","mappings":{"default":{"default":"bottom right crop"}},"key":"230C"},{"category":"So","mappings":{"default":{"default":"bottom left crop"}},"key":"230D"},{"category":"So","mappings":{"default":{"default":"top right crop"}},"key":"230E"},{"category":"So","mappings":{"default":{"default":"top left crop"}},"key":"230F"},{"category":"So","mappings":{"default":{"default":"top left corner"}},"key":"231C"},{"category":"So","mappings":{"default":{"default":"top right corner"}},"key":"231D"},{"category":"So","mappings":{"default":{"default":"bottom left corner"}},"key":"231E"},{"category":"So","mappings":{"default":{"default":"bottom right corner"}},"key":"231F"},{"category":"Sm","mappings":{"default":{"default":"top half integral"}},"key":"2320"},{"category":"Sm","mappings":{"default":{"default":"bottom half integral"}},"key":"2321"},{"category":"Ps","mappings":{"default":{"default":"left pointing angle bracket","alternative":"bra"},"mathspeak":{"default":"left pointing angle"}},"key":"2329"},{"category":"Pe","mappings":{"default":{"default":"right pointing angle bracket","alternative":"ket"},"mathspeak":{"default":"right pointing angle"}},"key":"232A"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis upper hook"},"mathspeak":{"default":"left-parenthesis upper hook","brief":"left-p'ren upper hook","sbrief":"L p'ren upper hook"}},"key":"239B"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis extension"},"mathspeak":{"default":"left-parenthesis extension","brief":"left-p'ren extension","sbrief":"L p'ren extension"}},"key":"239C"},{"category":"Sm","mappings":{"default":{"default":"left parenthesis lower hook"},"mathspeak":{"default":"left-parenthesis lower hook","brief":"left-p'ren lower hook","sbrief":"L p'ren lower hook"}},"key":"239D"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis upper hook"},"mathspeak":{"default":"right-parenthesis upper hook","brief":"right-p'ren upper hook","sbrief":"R p'ren upper hook"}},"key":"239E"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis extension"},"mathspeak":{"default":"right-parenthesis extension","brief":"right-p'ren extension","sbrief":"R p'ren extension"}},"key":"239F"},{"category":"Sm","mappings":{"default":{"default":"right parenthesis lower hook"},"mathspeak":{"default":"right-parenthesis lower hook","brief":"right-p'ren lower hook","sbrief":"R p'ren lower hook"}},"key":"23A0"},{"category":"Sm","mappings":{"default":{"default":"left square bracket upper corner"},"mathspeak":{"default":"left-bracket upper corner","brief":"left-brack upper corner","sbrief":"L brack upper corner"}},"key":"23A1"},{"category":"Sm","mappings":{"default":{"default":"left square bracket extension"},"mathspeak":{"default":"left-bracket extension","brief":"left-brack extension","sbrief":"L brack extension"}},"key":"23A2"},{"category":"Sm","mappings":{"default":{"default":"left square bracket lower corner"},"mathspeak":{"default":"left-bracket lower corner","brief":"left-brack lower corner","sbrief":"L brack lower corner"}},"key":"23A3"},{"category":"Sm","mappings":{"default":{"default":"right square bracket upper corner"},"mathspeak":{"default":"right-bracket upper corner","brief":"right-brack upper corner","sbrief":"R brack upper corner"}},"key":"23A4"},{"category":"Sm","mappings":{"default":{"default":"right square bracket extension"},"mathspeak":{"default":"right-bracket extension","brief":"right-brack extension","sbrief":"R brack extension"}},"key":"23A5"},{"category":"Sm","mappings":{"default":{"default":"right square bracket lower corner"},"mathspeak":{"default":"right-bracket lower corner","brief":"right-brack lower corner","sbrief":"R brack lower corner"}},"key":"23A6"},{"category":"Sm","mappings":{"default":{"default":"left curly bracket upper hook"},"mathspeak":{"default":"left-brace upper hook","sbrief":"L brace upper hook"}},"key":"23A7"},{"category":"Sm","mappings":{"default":{"default":"left curly bracket middle piece"},"mathspeak":{"default":"left-brace middle piece","sbrief":"L brace middle piece"}},"key":"23A8"},{"category":"Sm","mappings":{"default":{"default":"left curly bracket lower hook"},"mathspeak":{"default":"left-brace lower hook","sbrief":"L brace lower hook"}},"key":"23A9"},{"category":"Sm","mappings":{"default":{"default":"curly bracket extension"},"mathspeak":{"default":"brace extension"}},"key":"23AA"},{"category":"Sm","mappings":{"default":{"default":"right curly bracket upper hook"},"mathspeak":{"default":"right-brace upper hook","sbrief":"R brace upper hook"}},"key":"23AB"},{"category":"Sm","mappings":{"default":{"default":"right curly bracket middle piece"},"mathspeak":{"default":"right-brace middle piece","sbrief":"R brace middle piece"}},"key":"23AC"},{"category":"Sm","mappings":{"default":{"default":"right curly bracket lower hook"},"mathspeak":{"default":"right-brace lower hook","sbrief":"R brace lower hook"}},"key":"23AD"},{"category":"Sm","mappings":{"default":{"default":"integral extension"}},"key":"23AE"},{"category":"Sm","mappings":{"default":{"default":"horizontal line extension"}},"key":"23AF"},{"category":"Sm","mappings":{"default":{"default":"upper left or lower right curly bracket section"},"mathspeak":{"default":"upper left or lower right-brace section"}},"key":"23B0"},{"category":"Sm","mappings":{"default":{"default":"upper right or lower left curly bracket section"},"mathspeak":{"default":"upper right or lower left-brace section"}},"key":"23B1"},{"category":"Sm","mappings":{"default":{"default":"summation top"}},"key":"23B2"},{"category":"Sm","mappings":{"default":{"default":"summation bottom"}},"key":"23B3"},{"category":"So","mappings":{"default":{"default":"top square bracket"},"mathspeak":{"default":"top-bracket","brief":"top-brack","sbrief":"T brack"}},"key":"23B4"},{"category":"So","mappings":{"default":{"default":"bottom square bracket"},"mathspeak":{"default":"bottom-bracket","brief":"bottom-brack","sbrief":"B brack"}},"key":"23B5"},{"category":"So","mappings":{"default":{"default":"bottom square bracket over top square bracket"},"mathspeak":{"default":"bottom-bracket over top-bracket","brief":"bottom-brack over top-brack","sbrief":"B brack over T brack"}},"key":"23B6"},{"category":"So","mappings":{"default":{"default":"radical symbol bottom"}},"key":"23B7"},{"category":"So","mappings":{"default":{"default":"left vertical box line"}},"key":"23B8"},{"category":"So","mappings":{"default":{"default":"right vertical box line"}},"key":"23B9"},{"category":"Sm","mappings":{"default":{"default":"top parenthesis"},"mathspeak":{"default":"top-parenthesis","brief":"top-p'ren","sbrief":"t p'ren"}},"key":"23DC"},{"category":"Sm","mappings":{"default":{"default":"bottom parenthesis"},"mathspeak":{"default":"bottom-parenthesis","brief":"bottom-p'ren","sbrief":"b p'ren"}},"key":"23DD"},{"category":"Sm","mappings":{"default":{"default":"top curly bracket"},"mathspeak":{"default":"top-brace","sbrief":"T brace"}},"key":"23DE"},{"category":"Sm","mappings":{"default":{"default":"bottom curly bracket"},"mathspeak":{"default":"bottom-brace","sbrief":"B brace"}},"key":"23DF"},{"category":"Sm","mappings":{"default":{"default":"top tortoise shell bracket"}},"key":"23E0"},{"category":"Sm","mappings":{"default":{"default":"bottom tortoise shell bracket"}},"key":"23E1"},{"category":"Ps","mappings":{"default":{"default":"medium left parenthesis ornament"},"mathspeak":{"default":"medium left-parenthesis ornament","brief":"medium left-p'ren ornament","sbrief":"medium L p'ren ornament"}},"key":"2768"},{"category":"Pe","mappings":{"default":{"default":"medium right parenthesis ornament"},"mathspeak":{"default":"medium right-parenthesis ornament","brief":"medium right-p'ren ornament","sbrief":"medium R p'ren ornament"}},"key":"2769"},{"category":"Ps","mappings":{"default":{"default":"medium flattened left parenthesis ornament"},"mathspeak":{"default":"medium flattened left-parenthesis ornament","brief":"medium flattened left-p'ren ornament","sbrief":"medium flattened L p'ren ornament"}},"key":"276A"},{"category":"Pe","mappings":{"default":{"default":"medium flattened right parenthesis ornament"},"mathspeak":{"default":"medium flattened right-parenthesis ornament","brief":"medium flattened right-p'ren ornament","sbrief":"medium flattened R p'ren ornament"}},"key":"276B"},{"category":"Ps","mappings":{"default":{"default":"medium left pointing angle bracket ornament"},"mathspeak":{"default":"medium left pointing angle ornament"}},"key":"276C"},{"category":"Pe","mappings":{"default":{"default":"medium right pointing angle bracket ornament"},"mathspeak":{"default":"medium right pointing angle ornament"}},"key":"276D"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle quotation mark ornament"}},"key":"276E"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle quotation mark ornament"}},"key":"276F"},{"category":"Ps","mappings":{"default":{"default":"heavy left pointing angle bracket ornament"},"mathspeak":{"default":"heavy left pointing angle ornament"}},"key":"2770"},{"category":"Pe","mappings":{"default":{"default":"heavy right pointing angle bracket ornament"},"mathspeak":{"default":"heavy right pointing angle ornament"}},"key":"2771"},{"category":"Ps","mappings":{"default":{"default":"light left tortoise shell bracket ornament"}},"key":"2772"},{"category":"Pe","mappings":{"default":{"default":"light right tortoise shell bracket ornament"}},"key":"2773"},{"category":"Ps","mappings":{"default":{"default":"medium left curly bracket ornament"},"mathspeak":{"default":"medium left-brace ornament","sbrief":"medium L brace ornament"}},"key":"2774"},{"category":"Pe","mappings":{"default":{"default":"medium right curly bracket ornament"},"mathspeak":{"default":"medium right-brace ornament","sbrief":"medium R brace ornament"}},"key":"2775"},{"category":"Ps","mappings":{"default":{"default":"left s shaped bag delimiter"}},"key":"27C5"},{"category":"Pe","mappings":{"default":{"default":"right s shaped bag delimiter"}},"key":"27C6"},{"category":"Ps","mappings":{"default":{"default":"mathematical left white square bracket"},"mathspeak":{"default":"mathematical left white bracket"}},"key":"27E6"},{"category":"Pe","mappings":{"default":{"default":"mathematical right white square bracket"},"mathspeak":{"default":"mathematical right white bracket"}},"key":"27E7"},{"category":"Ps","mappings":{"default":{"default":"mathematical left angle bracket"},"mathspeak":{"default":"mathematical left-angle","sbrief":"mathematical l angle"}},"key":"27E8"},{"category":"Pe","mappings":{"default":{"default":"mathematical right angle bracket"},"mathspeak":{"default":"mathematical right-angle","sbrief":"mathematical r angle"}},"key":"27E9"},{"category":"Ps","mappings":{"default":{"default":"mathematical left double angle bracket"},"mathspeak":{"default":"mathematical left double angle"}},"key":"27EA"},{"category":"Pe","mappings":{"default":{"default":"mathematical right double angle bracket"},"mathspeak":{"default":"mathematical right double angle"}},"key":"27EB"},{"category":"Ps","mappings":{"default":{"default":"mathematical left white tortoise shell bracket"}},"key":"27EC"},{"category":"Pe","mappings":{"default":{"default":"mathematical right white tortoise shell bracket"}},"key":"27ED"},{"category":"Ps","mappings":{"default":{"default":"mathematical left flattened parenthesis"},"mathspeak":{"default":"mathematical flattened left-parenthesis","brief":"mathematical flattened left-p'ren","sbrief":"mathematical flattened L p'ren"}},"key":"27EE"},{"category":"Pe","mappings":{"default":{"default":"mathematical right flattened parenthesis"},"mathspeak":{"default":"mathematical flattened right-parenthesis","brief":"mathematical flattened right-p'ren","sbrief":"mathematical flattened R p'ren"}},"key":"27EF"},{"category":"Ps","mappings":{"default":{"default":"left white curly bracket"},"mathspeak":{"default":"left white brace"}},"key":"2983"},{"category":"Pe","mappings":{"default":{"default":"right white curly bracket"},"mathspeak":{"default":"right white brace"}},"key":"2984"},{"category":"Ps","mappings":{"default":{"default":"left white parenthesis"},"mathspeak":{"default":"white left-parenthesis","brief":"white left-p'ren","sbrief":"white L p'ren"}},"key":"2985"},{"category":"Pe","mappings":{"default":{"default":"right white parenthesis"},"mathspeak":{"default":"white right-parenthesis","brief":"white right-p'ren","sbrief":"white R p'ren"}},"key":"2986"},{"category":"Ps","mappings":{"default":{"default":"z notation left image bracket"}},"key":"2987"},{"category":"Pe","mappings":{"default":{"default":"z notation right image bracket"}},"key":"2988"},{"category":"Ps","mappings":{"default":{"default":"z notation left binding bracket"}},"key":"2989"},{"category":"Pe","mappings":{"default":{"default":"z notation right binding bracket"}},"key":"298A"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with underbar"},"mathspeak":{"default":"left-bracket with underbar","brief":"left-brack with underbar","sbrief":"L brack with underbar"}},"key":"298B"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with underbar"},"mathspeak":{"default":"right-bracket with underbar","brief":"right-brack with underbar","sbrief":"R brack with underbar"}},"key":"298C"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with tick in top corner"},"mathspeak":{"default":"left-bracket with tick in top corner","brief":"left-brack with tick in top corner","sbrief":"L brack with tick in top corner"}},"key":"298D"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with tick in bottom corner"},"mathspeak":{"default":"right-bracket with tick in bottom corner","brief":"right-brack with tick in bottom corner","sbrief":"R brack with tick in bottom corner"}},"key":"298E"},{"category":"Ps","mappings":{"default":{"default":"left square bracket with tick in bottom corner"},"mathspeak":{"default":"left-bracket with tick in bottom corner","brief":"left-brack with tick in bottom corner","sbrief":"L brack with tick in bottom corner"}},"key":"298F"},{"category":"Pe","mappings":{"default":{"default":"right square bracket with tick in top corner"},"mathspeak":{"default":"right-bracket with tick in top corner","brief":"right-brack with tick in top corner","sbrief":"R brack with tick in top corner"}},"key":"2990"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket with dot"},"mathspeak":{"default":"left-angle with dot","sbrief":"l angle with dot"}},"key":"2991"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket with dot"},"mathspeak":{"default":"right-angle with dot","sbrief":"r angle with dot"}},"key":"2992"},{"category":"Ps","mappings":{"default":{"default":"left arc less than bracket"}},"key":"2993"},{"category":"Pe","mappings":{"default":{"default":"right arc greater than bracket"}},"key":"2994"},{"category":"Ps","mappings":{"default":{"default":"double left arc greater than bracket"}},"key":"2995"},{"category":"Pe","mappings":{"default":{"default":"double right arc less than bracket"}},"key":"2996"},{"category":"Ps","mappings":{"default":{"default":"left black tortoise shell bracket"}},"key":"2997"},{"category":"Pe","mappings":{"default":{"default":"right black tortoise shell bracket"}},"key":"2998"},{"category":"Ps","mappings":{"default":{"default":"left wiggly fence"}},"key":"29D8"},{"category":"Pe","mappings":{"default":{"default":"right wiggly fence"}},"key":"29D9"},{"category":"Ps","mappings":{"default":{"default":"left double wiggly fence"}},"key":"29DA"},{"category":"Pe","mappings":{"default":{"default":"right double wiggly fence"}},"key":"29DB"},{"category":"Ps","mappings":{"default":{"default":"left pointing curved angle bracket"},"mathspeak":{"default":"left pointing curved angle"}},"key":"29FC"},{"category":"Pe","mappings":{"default":{"default":"right pointing curved angle bracket"},"mathspeak":{"default":"right pointing curved angle"}},"key":"29FD"},{"category":"Ps","mappings":{"default":{"default":"top left half bracket"},"mathspeak":{"default":"top half left-bracket","brief":"top half left-brack","sbrief":"top half L brack"}},"key":"2E22"},{"category":"Pe","mappings":{"default":{"default":"top right half bracket"},"mathspeak":{"default":"top half right-bracket","brief":"top half right-brack","sbrief":"top half R brack"}},"key":"2E23"},{"category":"Ps","mappings":{"default":{"default":"bottom left half bracket"},"mathspeak":{"default":"bottom half left-bracket","brief":"bottom half left-brack","sbrief":"bottom half L brack"}},"key":"2E24"},{"category":"Pe","mappings":{"default":{"default":"bottom right half bracket"},"mathspeak":{"default":"bottom half right-bracket","brief":"bottom half right-brack","sbrief":"bottom half R brack"}},"key":"2E25"},{"category":"Ps","mappings":{"default":{"default":"left sideways U bracket"}},"key":"2E26"},{"category":"Pe","mappings":{"default":{"default":"right sideways U bracket"}},"key":"2E27"},{"category":"Ps","mappings":{"default":{"default":"left double parenthesis"},"mathspeak":{"default":"double left-parenthesis","brief":"double left-p'ren","sbrief":"double L p'ren"}},"key":"2E28"},{"category":"Pe","mappings":{"default":{"default":"right double parenthesis"},"mathspeak":{"default":"double right-parenthesis","brief":"double right-p'ren","sbrief":"double R p'ren"}},"key":"2E29"},{"category":"Ps","mappings":{"default":{"default":"left angle bracket","alternative":"opening angle bracket"},"mathspeak":{"default":"left-angle","sbrief":"l angle"}},"key":"3008"},{"category":"Pe","mappings":{"default":{"default":"right angle bracket","alternative":"closing angle bracket"},"mathspeak":{"default":"right-angle","sbrief":"r angle"}},"key":"3009"},{"category":"Ps","mappings":{"default":{"default":"left double angle bracket","alternative":"opening double angle bracket"},"mathspeak":{"default":"left double angle"}},"key":"300A"},{"category":"Pe","mappings":{"default":{"default":"right double angle bracket","alternative":"closing double angle bracket"},"mathspeak":{"default":"right double angle"}},"key":"300B"},{"category":"Ps","mappings":{"default":{"default":"left corner bracket","alternative":"opening corner bracket"}},"key":"300C"},{"category":"Pe","mappings":{"default":{"default":"right corner bracket","alternative":"closing corner bracket"}},"key":"300D"},{"category":"Ps","mappings":{"default":{"default":"left white corner bracket","alternative":"opening white corner bracket"}},"key":"300E"},{"category":"Pe","mappings":{"default":{"default":"right white corner bracket","alternative":"closing white corner bracket"}},"key":"300F"},{"category":"Ps","mappings":{"default":{"default":"left black lenticular bracket","alternative":"opening black lenticular bracket"}},"key":"3010"},{"category":"Pe","mappings":{"default":{"default":"right black lenticular bracket","alternative":"closing black lenticular bracket"}},"key":"3011"},{"category":"Ps","mappings":{"default":{"default":"left tortoise shell bracket","alternative":"opening tortoise shell bracket"}},"key":"3014"},{"category":"Pe","mappings":{"default":{"default":"right tortoise shell bracket","alternative":"closing tortoise shell bracket"}},"key":"3015"},{"category":"Ps","mappings":{"default":{"default":"left white lenticular bracket","alternative":"opening white lenticular bracket"}},"key":"3016"},{"category":"Pe","mappings":{"default":{"default":"right white lenticular bracket","alternative":"closing white lenticular bracket"}},"key":"3017"},{"category":"Ps","mappings":{"default":{"default":"left white tortoise shell bracket","alternative":"opening white tortoise shell bracket"}},"key":"3018"},{"category":"Pe","mappings":{"default":{"default":"right white tortoise shell bracket","alternative":"closing white tortoise shell bracket"}},"key":"3019"},{"category":"Ps","mappings":{"default":{"default":"left white square bracket","alternative":"opening white square bracket"},"mathspeak":{"default":"left white bracket"}},"key":"301A"},{"category":"Pe","mappings":{"default":{"default":"right white square bracket","alternative":"closing white square bracket"},"mathspeak":{"default":"right white bracket"}},"key":"301B"},{"category":"Ps","mappings":{"default":{"default":"reversed double prime quotation mark"}},"key":"301D"},{"category":"Pe","mappings":{"default":{"default":"double prime quotation mark"}},"key":"301E"},{"category":"Pe","mappings":{"default":{"default":"low double prime quotation mark"}},"key":"301F"},{"category":"Ps","mappings":{"default":{"default":"ornate left parenthesis"},"mathspeak":{"default":"ornate left-parenthesis","brief":"ornate left-p'ren","sbrief":"ornate L p'ren"}},"key":"FD3E"},{"category":"Pe","mappings":{"default":{"default":"ornate right parenthesis"},"mathspeak":{"default":"ornate right-parenthesis","brief":"ornate right-p'ren","sbrief":"ornate R p'ren"}},"key":"FD3F"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white lenticular bracket"}},"key":"FE17"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white lenticular brakcet"}},"key":"FE18"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left parenthesis","alternative":"glyph for vertical opening parenthesis"},"mathspeak":{"default":"presentation form for vertical left-parenthesis","brief":"presentation form for vertical left-p'ren","sbrief":"presentation form for vertical L p'ren"}},"key":"FE35"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right parenthesis","alternative":"glyph for vertical closing parenthesis"},"mathspeak":{"default":"presentation form for vertical right-parenthesis","brief":"presentation form for vertical right-p'ren","sbrief":"presentation form for vertical R p'ren"}},"key":"FE36"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left curly bracket","alternative":"glyph for vertical opening curly bracket"},"mathspeak":{"default":"presentation form for vertical left-brace","sbrief":"presentation form for vertical L brace"}},"key":"FE37"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right curly bracket","alternative":"glyph for vertical closing curly bracket"},"mathspeak":{"default":"presentation form for vertical right-brace","sbrief":"presentation form for vertical r brace"}},"key":"FE38"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left tortoise shell bracket","alternative":"glyph for vertical opening tortoise shell bracket"}},"key":"FE39"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right tortoise shell bracket","alternative":"glyph for vertical closing tortoise shell bracket"}},"key":"FE3A"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left black lenticular bracket","alternative":"glyph for vertical opening black lenticular bracket"}},"key":"FE3B"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right black lenticular bracket","alternative":"glyph for vertical closing black lenticular bracket"}},"key":"FE3C"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left double angle bracket","alternative":"glyph for vertical opening double angle bracket"},"mathspeak":{"default":"presentation form for vertical left double angle"}},"key":"FE3D"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right double angle bracket","alternative":"glyph for vertical closing double angle bracket"},"mathspeak":{"default":"presentation form for vertical right double angle"}},"key":"FE3E"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left angle bracket","alternative":"glyph for vertical opening angle bracket"},"mathspeak":{"default":"presentation form for vertical left-angle","sbrief":"presentation form for vertical l angle"}},"key":"FE3F"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right angle bracket","alternative":"glyph for vertical closing angle bracket"},"mathspeak":{"default":"presentation form for vertical right-angle","sbrief":"presentation form for vertical r angle"}},"key":"FE40"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left corner bracket","alternative":"glyph for vertical opening corner bracket"}},"key":"FE41"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right corner bracket","alternative":"glyph for vertical closing corner bracket"}},"key":"FE42"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left white corner bracket","alternative":"glyph for vertical opening white corner bracket"}},"key":"FE43"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right white corner bracket","alternative":"glyph for vertical closing white corner bracket"}},"key":"FE44"},{"category":"Ps","mappings":{"default":{"default":"presentation form for vertical left square bracket"},"mathspeak":{"default":"presentation form for vertical left-bracket","brief":"presentation form for vertical left-brack","sbrief":"presentation form for vertical L brack"}},"key":"FE47"},{"category":"Pe","mappings":{"default":{"default":"presentation form for vertical right square bracket"},"mathspeak":{"default":"presentation form for vertical right-bracket","brief":"presentation form for vertical right-brack","sbrief":"presentation form for vertical r brack"}},"key":"FE48"},{"category":"Ps","mappings":{"default":{"default":"small left parenthesis","alternative":"small opening parenthesis"},"mathspeak":{"default":"small left-parenthesis","brief":"small left-p'ren","sbrief":"small L p'ren"}},"key":"FE59"},{"category":"Pe","mappings":{"default":{"default":"small right parenthesis","alternative":"small closing parenthesis"},"mathspeak":{"default":"small right-parenthesis","brief":"small right-p'ren","sbrief":"small R p'ren"}},"key":"FE5A"},{"category":"Ps","mappings":{"default":{"default":"small left curly bracket","alternative":"small opening curly bracket"},"mathspeak":{"default":"small left-brace","sbrief":"small L brace"}},"key":"FE5B"},{"category":"Pe","mappings":{"default":{"default":"small right curly bracket","alternative":"small closing curly bracket"},"mathspeak":{"default":"small right-brace","sbrief":"small r brace"}},"key":"FE5C"},{"category":"Ps","mappings":{"default":{"default":"small left tortoise shell bracket","alternative":"small opening tortoise shell bracket"}},"key":"FE5D"},{"category":"Pe","mappings":{"default":{"default":"small right tortoise shell bracket","alternative":"small closing tortoise shell bracket"}},"key":"FE5E"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left parenthesis","alternative":"fullwidth opening parenthesis"},"mathspeak":{"default":"fullwidth left-parenthesis","brief":"fullwidth left-p'ren","sbrief":"fullwidth L p'ren"}},"key":"FF08"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right parenthesis","alternative":"fullwidth closing parenthesis"},"mathspeak":{"default":"fullwidth right-parenthesis","brief":"fullwidth right-p'ren","sbrief":"fullwidth R p'ren"}},"key":"FF09"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left square bracket","alternative":"fullwidth opening square bracket"},"mathspeak":{"default":"fullwidth left-bracket","brief":"fullwidth left-brack","sbrief":"fullwidth L brack"}},"key":"FF3B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right square bracket","alternative":"fullwidth closing square bracket"},"mathspeak":{"default":"fullwidth right-bracket","brief":"fullwidth right-brack","sbrief":"fullwidth r brack"}},"key":"FF3D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth left curly bracket","alternative":"fullwidth opening curly bracket"},"mathspeak":{"default":"fullwidth left-brace","sbrief":"fullwidth L brace"}},"key":"FF5B"},{"category":"Pe","mappings":{"default":{"default":"fullwidth right curly bracket","alternative":"fullwidth closing curly bracket"},"mathspeak":{"default":"fullwidth right-brace","sbrief":"fullwidth r brace"}},"key":"FF5D"},{"category":"Ps","mappings":{"default":{"default":"fullwidth white left parenthesis"},"mathspeak":{"default":"fullwidth white left-parenthesis","brief":"fullwidth white left-p'ren","sbrief":"fullwidth white L p'ren"}},"key":"FF5F"},{"category":"Pe","mappings":{"default":{"default":"fullwidth white right parenthesis"},"mathspeak":{"default":"fullwidth white right-parenthesis","brief":"fullwidth white right-p'ren","sbrief":"fullwidth white R p'ren"}},"key":"FF60"},{"category":"Ps","mappings":{"default":{"default":"halfwidth left corner bracket","alternative":"halfwidth opening corner bracket"}},"key":"FF62"},{"category":"Pe","mappings":{"default":{"default":"halfwidth right corner bracket","alternative":"halfwidth closing corner bracket"}},"key":"FF63"}]
+"en/symbols/math_geometry.js": 
+[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"box drawings light horizontal"}},"key":"2500"},{"category":"So","mappings":{"default":{"default":"box drawings heavy horizontal"}},"key":"2501"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical"}},"key":"2502"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical"}},"key":"2503"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash horizontal"}},"key":"2504"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash horizontal"}},"key":"2505"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash vertical"}},"key":"2506"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash vertical"}},"key":"2507"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash horizontal"}},"key":"2508"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash horizontal"}},"key":"2509"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash vertical"}},"key":"250A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash vertical"}},"key":"250B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and right"}},"key":"250C"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right heavy"}},"key":"250D"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right light"}},"key":"250E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and right"}},"key":"250F"},{"category":"So","mappings":{"default":{"default":"box drawings light down and left"}},"key":"2510"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left heavy"}},"key":"2511"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left light"}},"key":"2512"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and left"}},"key":"2513"},{"category":"So","mappings":{"default":{"default":"box drawings light up and right"}},"key":"2514"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right heavy"}},"key":"2515"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right light"}},"key":"2516"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and right"}},"key":"2517"},{"category":"So","mappings":{"default":{"default":"box drawings light up and left"}},"key":"2518"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left heavy"}},"key":"2519"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left light"}},"key":"251A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and left"}},"key":"251B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and right"}},"key":"251C"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and right heavy"}},"key":"251D"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right down light"}},"key":"251E"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right up light"}},"key":"251F"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and right light"}},"key":"2520"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right up heavy"}},"key":"2521"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right down heavy"}},"key":"2522"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and right"}},"key":"2523"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and left"}},"key":"2524"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and left heavy"}},"key":"2525"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left down light"}},"key":"2526"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left up light"}},"key":"2527"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and left light"}},"key":"2528"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left up heavy"}},"key":"2529"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left down heavy"}},"key":"252A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and left"}},"key":"252B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and horizontal"}},"key":"252C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right down light"}},"key":"252D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left down light"}},"key":"252E"},{"category":"So","mappings":{"default":{"default":"box drawings down light and horizontal heavy"}},"key":"252F"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and horizontal light"}},"key":"2530"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left down heavy"}},"key":"2531"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right down heavy"}},"key":"2532"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and horizontal"}},"key":"2533"},{"category":"So","mappings":{"default":{"default":"box drawings light up and horizontal"}},"key":"2534"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right up light"}},"key":"2535"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left up light"}},"key":"2536"},{"category":"So","mappings":{"default":{"default":"box drawings up light and horizontal heavy"}},"key":"2537"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and horizontal light"}},"key":"2538"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left up heavy"}},"key":"2539"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right up heavy"}},"key":"253A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and horizontal"}},"key":"253B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and horizontal"}},"key":"253C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right vertical light"}},"key":"253D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left vertical light"}},"key":"253E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and horizontal heavy"}},"key":"253F"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and down horizontal light"}},"key":"2540"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and up horizontal light"}},"key":"2541"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and horizontal light"}},"key":"2542"},{"category":"So","mappings":{"default":{"default":"box drawings left up heavy and right down light"}},"key":"2543"},{"category":"So","mappings":{"default":{"default":"box drawings right up heavy and left down light"}},"key":"2544"},{"category":"So","mappings":{"default":{"default":"box drawings left down heavy and right up light"}},"key":"2545"},{"category":"So","mappings":{"default":{"default":"box drawings right down heavy and left up light"}},"key":"2546"},{"category":"So","mappings":{"default":{"default":"box drawings down light and up horizontal heavy"}},"key":"2547"},{"category":"So","mappings":{"default":{"default":"box drawings up light and down horizontal heavy"}},"key":"2548"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left vertical heavy"}},"key":"2549"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right vertical heavy"}},"key":"254A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and horizontal"}},"key":"254B"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash horizontal"}},"key":"254C"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash horizontal"}},"key":"254D"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash vertical"}},"key":"254E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash vertical"}},"key":"254F"},{"category":"So","mappings":{"default":{"default":"box drawings double horizontal"}},"key":"2550"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical"}},"key":"2551"},{"category":"So","mappings":{"default":{"default":"box drawings down single and right double"}},"key":"2552"},{"category":"So","mappings":{"default":{"default":"box drawings down double and right single"}},"key":"2553"},{"category":"So","mappings":{"default":{"default":"box drawings double down and right"}},"key":"2554"},{"category":"So","mappings":{"default":{"default":"box drawings down single and left double"}},"key":"2555"},{"category":"So","mappings":{"default":{"default":"box drawings down double and left single"}},"key":"2556"},{"category":"So","mappings":{"default":{"default":"box drawings double down and left"}},"key":"2557"},{"category":"So","mappings":{"default":{"default":"box drawings up single and right double"}},"key":"2558"},{"category":"So","mappings":{"default":{"default":"box drawings up double and right single"}},"key":"2559"},{"category":"So","mappings":{"default":{"default":"box drawings double up and right"}},"key":"255A"},{"category":"So","mappings":{"default":{"default":"box drawings up single and left double"}},"key":"255B"},{"category":"So","mappings":{"default":{"default":"box drawings up double and left single"}},"key":"255C"},{"category":"So","mappings":{"default":{"default":"box drawings double up and left"}},"key":"255D"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and right double"}},"key":"255E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and right single"}},"key":"255F"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and right"}},"key":"2560"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and left double"}},"key":"2561"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and left single"}},"key":"2562"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and left"}},"key":"2563"},{"category":"So","mappings":{"default":{"default":"box drawings down single and horizontal double"}},"key":"2564"},{"category":"So","mappings":{"default":{"default":"box drawings down double and horizontal single"}},"key":"2565"},{"category":"So","mappings":{"default":{"default":"box drawings double down and horizontal"}},"key":"2566"},{"category":"So","mappings":{"default":{"default":"box drawings up single and horizontal double"}},"key":"2567"},{"category":"So","mappings":{"default":{"default":"box drawings up double and horizontal single"}},"key":"2568"},{"category":"So","mappings":{"default":{"default":"box drawings double up and horizontal"}},"key":"2569"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and horizontal double"}},"key":"256A"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and horizontal single"}},"key":"256B"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and horizontal"}},"key":"256C"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and right"}},"key":"256D"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and left"}},"key":"256E"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and left"}},"key":"256F"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and right"}},"key":"2570"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper right to lower left"}},"key":"2571"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper left to lower right"}},"key":"2572"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal cross"}},"key":"2573"},{"category":"So","mappings":{"default":{"default":"box drawings light left"}},"key":"2574"},{"category":"So","mappings":{"default":{"default":"box drawings light up"}},"key":"2575"},{"category":"So","mappings":{"default":{"default":"box drawings light right"}},"key":"2576"},{"category":"So","mappings":{"default":{"default":"box drawings light down"}},"key":"2577"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left"}},"key":"2578"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up"}},"key":"2579"},{"category":"So","mappings":{"default":{"default":"box drawings heavy right"}},"key":"257A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down"}},"key":"257B"},{"category":"So","mappings":{"default":{"default":"box drawings light left and heavy right"}},"key":"257C"},{"category":"So","mappings":{"default":{"default":"box drawings light up and heavy down"}},"key":"257D"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left and light right"}},"key":"257E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and light down"}},"key":"257F"},{"category":"So","mappings":{"default":{"default":"upper half block"}},"key":"2580"},{"category":"So","mappings":{"default":{"default":"lower one eighth block"}},"key":"2581"},{"category":"So","mappings":{"default":{"default":"lower one quarter block"}},"key":"2582"},{"category":"So","mappings":{"default":{"default":"lower three eighths block"}},"key":"2583"},{"category":"So","mappings":{"default":{"default":"lower half block"}},"key":"2584"},{"category":"So","mappings":{"default":{"default":"lower five eighths block"}},"key":"2585"},{"category":"So","mappings":{"default":{"default":"lower three quarters block"}},"key":"2586"},{"category":"So","mappings":{"default":{"default":"lower seven eighths block"}},"key":"2587"},{"category":"So","mappings":{"default":{"default":"full block"}},"key":"2588"},{"category":"So","mappings":{"default":{"default":"left seven eighths block"}},"key":"2589"},{"category":"So","mappings":{"default":{"default":"left three quarters block"}},"key":"258A"},{"category":"So","mappings":{"default":{"default":"left five eighths block"}},"key":"258B"},{"category":"So","mappings":{"default":{"default":"left half block"}},"key":"258C"},{"category":"So","mappings":{"default":{"default":"left three eighths block"}},"key":"258D"},{"category":"So","mappings":{"default":{"default":"left one quarter block"}},"key":"258E"},{"category":"So","mappings":{"default":{"default":"left one eighth block"}},"key":"258F"},{"category":"So","mappings":{"default":{"default":"right half block"}},"key":"2590"},{"category":"So","mappings":{"default":{"default":"light shade"}},"key":"2591"},{"category":"So","mappings":{"default":{"default":"medium shade"}},"key":"2592"},{"category":"So","mappings":{"default":{"default":"dark shade"}},"key":"2593"},{"category":"So","mappings":{"default":{"default":"upper one eighth block"}},"key":"2594"},{"category":"So","mappings":{"default":{"default":"right one eighth block"}},"key":"2595"},{"category":"So","mappings":{"default":{"default":"quadrant lower left"}},"key":"2596"},{"category":"So","mappings":{"default":{"default":"quadrant lower right"}},"key":"2597"},{"category":"So","mappings":{"default":{"default":"quadrant upper left"}},"key":"2598"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower left and lower right"}},"key":"2599"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower right"}},"key":"259A"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower left"}},"key":"259B"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower right"}},"key":"259C"},{"category":"So","mappings":{"default":{"default":"quadrant upper right"}},"key":"259D"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left"}},"key":"259E"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left and lower right"}},"key":"259F"},{"category":"So","mappings":{"default":{"default":"black square"}},"key":"25A0"},{"category":"So","mappings":{"default":{"default":"white square"}},"key":"25A1"},{"category":"So","mappings":{"default":{"default":"white square with rounded corners"}},"key":"25A2"},{"category":"So","mappings":{"default":{"default":"white square containing black small square"}},"key":"25A3"},{"category":"So","mappings":{"default":{"default":"square with horizontal fill"}},"key":"25A4"},{"category":"So","mappings":{"default":{"default":"square with vertical fill"}},"key":"25A5"},{"category":"So","mappings":{"default":{"default":"square with orthogonal crosshatch fill"}},"key":"25A6"},{"category":"So","mappings":{"default":{"default":"square with upper left to lower right fill"}},"key":"25A7"},{"category":"So","mappings":{"default":{"default":"square with upper right to lower left fill"}},"key":"25A8"},{"category":"So","mappings":{"default":{"default":"square with diagonal crosshatch fill"}},"key":"25A9"},{"category":"So","mappings":{"default":{"default":"black small square"}},"key":"25AA"},{"category":"So","mappings":{"default":{"default":"white small square"}},"key":"25AB"},{"category":"So","mappings":{"default":{"default":"black rectangle"}},"key":"25AC"},{"category":"So","mappings":{"default":{"default":"white rectangle"}},"key":"25AD"},{"category":"So","mappings":{"default":{"default":"black vertical rectangle"}},"key":"25AE"},{"category":"So","mappings":{"default":{"default":"white vertical rectangle"}},"key":"25AF"},{"category":"So","mappings":{"default":{"default":"black parallelogram"}},"key":"25B0"},{"category":"So","mappings":{"default":{"default":"white parallelogram"}},"key":"25B1"},{"category":"So","mappings":{"default":{"default":"black up pointing triangle"}},"key":"25B2"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle"}},"key":"25B3"},{"category":"So","mappings":{"default":{"default":"black up pointing small triangle"}},"key":"25B4"},{"category":"So","mappings":{"default":{"default":"white up pointing small triangle"}},"key":"25B5"},{"category":"So","mappings":{"default":{"default":"black right pointing triangle"}},"key":"25B6"},{"category":"Sm","mappings":{"default":{"default":"white right pointing triangle"}},"key":"25B7"},{"category":"So","mappings":{"default":{"default":"black right pointing small triangle"}},"key":"25B8"},{"category":"So","mappings":{"default":{"default":"white right pointing small triangle"}},"key":"25B9"},{"category":"So","mappings":{"default":{"default":"black right pointing pointer"}},"key":"25BA"},{"category":"So","mappings":{"default":{"default":"white right pointing pointer"}},"key":"25BB"},{"category":"So","mappings":{"default":{"default":"black down pointing triangle"}},"key":"25BC"},{"category":"So","mappings":{"default":{"default":"white down pointing triangle"}},"key":"25BD"},{"category":"So","mappings":{"default":{"default":"black down pointing small triangle"}},"key":"25BE"},{"category":"So","mappings":{"default":{"default":"white down pointing small triangle"}},"key":"25BF"},{"category":"So","mappings":{"default":{"default":"black left pointing triangle"}},"key":"25C0"},{"category":"Sm","mappings":{"default":{"default":"white left pointing triangle"}},"key":"25C1"},{"category":"So","mappings":{"default":{"default":"black left pointing small triangle"}},"key":"25C2"},{"category":"So","mappings":{"default":{"default":"white left pointing small triangle"}},"key":"25C3"},{"category":"So","mappings":{"default":{"default":"black left pointing pointer"}},"key":"25C4"},{"category":"So","mappings":{"default":{"default":"white left pointing pointer"}},"key":"25C5"},{"category":"So","mappings":{"default":{"default":"black diamond"}},"key":"25C6"},{"category":"So","mappings":{"default":{"default":"white diamond"}},"key":"25C7"},{"category":"So","mappings":{"default":{"default":"white diamond containing black small diamond"}},"key":"25C8"},{"category":"So","mappings":{"default":{"default":"fisheye"}},"key":"25C9"},{"category":"So","mappings":{"default":{"default":"lozenge"}},"key":"25CA"},{"category":"So","mappings":{"default":{"default":"white circle"}},"key":"25CB"},{"category":"So","mappings":{"default":{"default":"dotted circle"}},"key":"25CC"},{"category":"So","mappings":{"default":{"default":"circle with vertical fill"}},"key":"25CD"},{"category":"So","mappings":{"default":{"default":"bullseye"}},"key":"25CE"},{"category":"So","mappings":{"default":{"default":"black circle"}},"key":"25CF"},{"category":"So","mappings":{"default":{"default":"circle with left half black"}},"key":"25D0"},{"category":"So","mappings":{"default":{"default":"circle with right half black"}},"key":"25D1"},{"category":"So","mappings":{"default":{"default":"circle with lower half black"}},"key":"25D2"},{"category":"So","mappings":{"default":{"default":"circle with upper half black"}},"key":"25D3"},{"category":"So","mappings":{"default":{"default":"circle with upper right quadrant black"}},"key":"25D4"},{"category":"So","mappings":{"default":{"default":"circle with all but upper left quadrant black"}},"key":"25D5"},{"category":"So","mappings":{"default":{"default":"left half black circle"}},"key":"25D6"},{"category":"So","mappings":{"default":{"default":"right half black circle"}},"key":"25D7"},{"category":"So","mappings":{"default":{"default":"inverse bullet"}},"key":"25D8"},{"category":"So","mappings":{"default":{"default":"inverse white circle"}},"key":"25D9"},{"category":"So","mappings":{"default":{"default":"upper half inverse white circle"}},"key":"25DA"},{"category":"So","mappings":{"default":{"default":"lower half inverse white circle"}},"key":"25DB"},{"category":"So","mappings":{"default":{"default":"upper left quadrant circular arc"}},"key":"25DC"},{"category":"So","mappings":{"default":{"default":"upper right quadrant circular arc"}},"key":"25DD"},{"category":"So","mappings":{"default":{"default":"lower right quadrant circular arc"}},"key":"25DE"},{"category":"So","mappings":{"default":{"default":"lower left quadrant circular arc"}},"key":"25DF"},{"category":"So","mappings":{"default":{"default":"upper half circle"}},"key":"25E0"},{"category":"So","mappings":{"default":{"default":"lower half circle"}},"key":"25E1"},{"category":"So","mappings":{"default":{"default":"black lower right triangle"}},"key":"25E2"},{"category":"So","mappings":{"default":{"default":"black lower left triangle"}},"key":"25E3"},{"category":"So","mappings":{"default":{"default":"black upper left triangle"}},"key":"25E4"},{"category":"So","mappings":{"default":{"default":"black upper right triangle"}},"key":"25E5"},{"category":"So","mappings":{"default":{"default":"white bullet"}},"key":"25E6"},{"category":"So","mappings":{"default":{"default":"square with left half black"}},"key":"25E7"},{"category":"So","mappings":{"default":{"default":"square with right half black"}},"key":"25E8"},{"category":"So","mappings":{"default":{"default":"square with upper left diagonal half black"}},"key":"25E9"},{"category":"So","mappings":{"default":{"default":"square with lower right diagonal half black"}},"key":"25EA"},{"category":"So","mappings":{"default":{"default":"white square with vertical bisecting line"}},"key":"25EB"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle with dot"}},"key":"25EC"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with left half black"}},"key":"25ED"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with right half black"}},"key":"25EE"},{"category":"So","mappings":{"default":{"default":"large circle"}},"key":"25EF"},{"category":"So","mappings":{"default":{"default":"white square with upper left quadrant"}},"key":"25F0"},{"category":"So","mappings":{"default":{"default":"white square with lower left quadrant"}},"key":"25F1"},{"category":"So","mappings":{"default":{"default":"white square with lower right quadrant"}},"key":"25F2"},{"category":"So","mappings":{"default":{"default":"white square with upper right quadrant"}},"key":"25F3"},{"category":"So","mappings":{"default":{"default":"white circle with upper left quadrant"}},"key":"25F4"},{"category":"So","mappings":{"default":{"default":"white circle with lower left quadrant"}},"key":"25F5"},{"category":"So","mappings":{"default":{"default":"white circle with lower right quadrant"}},"key":"25F6"},{"category":"So","mappings":{"default":{"default":"white circle with upper right quadrant"}},"key":"25F7"},{"category":"Sm","mappings":{"default":{"default":"upper left triangle"}},"key":"25F8"},{"category":"Sm","mappings":{"default":{"default":"upper right triangle"}},"key":"25F9"},{"category":"Sm","mappings":{"default":{"default":"lower left triangle"}},"key":"25FA"},{"category":"Sm","mappings":{"default":{"default":"white medium square"}},"key":"25FB"},{"category":"Sm","mappings":{"default":{"default":"black medium square"}},"key":"25FC"},{"category":"Sm","mappings":{"default":{"default":"white medium small square"}},"key":"25FD"},{"category":"Sm","mappings":{"default":{"default":"black medium small square"}},"key":"25FE"},{"category":"Sm","mappings":{"default":{"default":"lower right triangle"}},"key":"25FF"},{"category":"So","mappings":{"default":{"default":"square with top half black"}},"key":"2B12"},{"category":"So","mappings":{"default":{"default":"square with bottom half black"}},"key":"2B13"},{"category":"So","mappings":{"default":{"default":"square with upper right diagonal half black"}},"key":"2B14"},{"category":"So","mappings":{"default":{"default":"square with lower left diagonal half black"}},"key":"2B15"},{"category":"So","mappings":{"default":{"default":"diamond with left half black"}},"key":"2B16"},{"category":"So","mappings":{"default":{"default":"diamond with right half black"}},"key":"2B17"},{"category":"So","mappings":{"default":{"default":"diamond with top half black"}},"key":"2B18"},{"category":"So","mappings":{"default":{"default":"diamond with bottom half black"}},"key":"2B19"},{"category":"So","mappings":{"default":{"default":"dotted square"}},"key":"2B1A"},{"category":"So","mappings":{"default":{"default":"black large square"}},"key":"2B1B"},{"category":"So","mappings":{"default":{"default":"white large square"}},"key":"2B1C"},{"category":"So","mappings":{"default":{"default":"black very small square"}},"key":"2B1D"},{"category":"So","mappings":{"default":{"default":"white very small square"}},"key":"2B1E"},{"category":"So","mappings":{"default":{"default":"black pentagon"}},"key":"2B1F"},{"category":"So","mappings":{"default":{"default":"white pentagon"}},"key":"2B20"},{"category":"So","mappings":{"default":{"default":"white hexagon"}},"key":"2B21"},{"category":"So","mappings":{"default":{"default":"black hexagon"}},"key":"2B22"},{"category":"So","mappings":{"default":{"default":"horizontal black hexagon"}},"key":"2B23"},{"category":"So","mappings":{"default":{"default":"black large circle"}},"key":"2B24"},{"category":"So","mappings":{"default":{"default":"black medium diamond"}},"key":"2B25"},{"category":"So","mappings":{"default":{"default":"white medium diamond"}},"key":"2B26"},{"category":"So","mappings":{"default":{"default":"black medium lozenge"}},"key":"2B27"},{"category":"So","mappings":{"default":{"default":"white medium lozenge"}},"key":"2B28"},{"category":"So","mappings":{"default":{"default":"black small diamond"}},"key":"2B29"},{"category":"So","mappings":{"default":{"default":"black small lozenge"}},"key":"2B2A"},{"category":"So","mappings":{"default":{"default":"white small lozenge"}},"key":"2B2B"},{"category":"So","mappings":{"default":{"default":"black horizontal ellipse"}},"key":"2B2C"},{"category":"So","mappings":{"default":{"default":"white horizontal ellipse"}},"key":"2B2D"},{"category":"So","mappings":{"default":{"default":"black vertical ellipse"}},"key":"2B2E"},{"category":"So","mappings":{"default":{"default":"white vertical ellipse"}},"key":"2B2F"},{"category":"So","mappings":{"default":{"default":"white medium star"}},"key":"2B50"},{"category":"So","mappings":{"default":{"default":"black small star"}},"key":"2B51"},{"category":"So","mappings":{"default":{"default":"white small star"}},"key":"2B52"},{"category":"So","mappings":{"default":{"default":"black right pointing pentagon"}},"key":"2B53"},{"category":"So","mappings":{"default":{"default":"white right pointing pentagon"}},"key":"2B54"},{"category":"So","mappings":{"default":{"default":"heavy large circle"}},"key":"2B55"},{"category":"So","mappings":{"default":{"default":"heavy oval with oval inside"}},"key":"2B56"},{"category":"So","mappings":{"default":{"default":"heavy circle with circle inside"}},"key":"2B57"},{"category":"So","mappings":{"default":{"default":"heavy circle"}},"key":"2B58"},{"category":"So","mappings":{"default":{"default":"heavy circled saltire"}},"key":"2B59"}]
 ,
-"en/math_digits.js": 
-[{"locale":"en"},{"category":"Nd","mappings":{"default":{"default":"digit zero","short":"zero"},"mathspeak":{"default":"0"}},"key":"0030"},{"category":"Nd","mappings":{"default":{"default":"digit one","short":"one"},"mathspeak":{"default":"1"}},"key":"0031"},{"category":"Nd","mappings":{"default":{"default":"digit two","short":"two"},"mathspeak":{"default":"2"}},"key":"0032"},{"category":"Nd","mappings":{"default":{"default":"digit three","short":"three"},"mathspeak":{"default":"3"}},"key":"0033"},{"category":"Nd","mappings":{"default":{"default":"digit four","short":"four"},"mathspeak":{"default":"4"}},"key":"0034"},{"category":"Nd","mappings":{"default":{"default":"digit five","short":"five"},"mathspeak":{"default":"5"}},"key":"0035"},{"category":"Nd","mappings":{"default":{"default":"digit six","short":"six"},"mathspeak":{"default":"6"}},"key":"0036"},{"category":"Nd","mappings":{"default":{"default":"digit seven","short":"seven"},"mathspeak":{"default":"7"}},"key":"0037"},{"category":"Nd","mappings":{"default":{"default":"digit eight","short":"eight"},"mathspeak":{"default":"8"}},"key":"0038"},{"category":"Nd","mappings":{"default":{"default":"digit nine","short":"nine"},"mathspeak":{"default":"9"}},"key":"0039"},{"category":"No","mappings":{"default":{"default":"superscript digit two","alternative":"superscript two","short":"square"},"mathspeak":{"default":"9"}},"key":"00B2"},{"category":"No","mappings":{"default":{"default":"superscript digit three","alternative":"superscript three","short":"cube"}},"key":"00B3"},{"category":"No","mappings":{"default":{"default":"superscript digit one","alternative":"superscript one","short":"super one"}},"key":"00B9"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one quarter","alternative":"fraction one quarter","short":"one quarter"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one half","alternative":"fraction one half","short":"one half"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"vulgar fraction three quarters","alternative":"fraction three quarters","short":"three quarters"}},"key":"00BE"},{"category":"No","mappings":{"default":{"default":"superscript zero","short":"super zero"}},"key":"2070"},{"category":"No","mappings":{"default":{"default":"superscript digit four","alternative":"superscript four","short":"super four"}},"key":"2074"},{"category":"No","mappings":{"default":{"default":"superscript digit five","alternative":"superscript five","short":"super five"}},"key":"2075"},{"category":"No","mappings":{"default":{"default":"superscript digit six","alternative":"superscript six","short":"super six"}},"key":"2076"},{"category":"No","mappings":{"default":{"default":"superscript digit seven","alternative":"superscript seven","short":"super seven"}},"key":"2077"},{"category":"No","mappings":{"default":{"default":"superscript digit eight","alternative":"superscript eight","short":"super eight"}},"key":"2078"},{"category":"No","mappings":{"default":{"default":"superscript digit nine","alternative":"superscript nine","short":"super nine"}},"key":"2079"},{"category":"No","mappings":{"default":{"default":"subscript digit zero","alternative":"subscript zero","short":"sub zero"}},"key":"2080"},{"category":"No","mappings":{"default":{"default":"subscript digit one","alternative":"subscript one","short":"sub one"}},"key":"2081"},{"category":"No","mappings":{"default":{"default":"subscript digit two","alternative":"subscript two","short":"sub two"}},"key":"2082"},{"category":"No","mappings":{"default":{"default":"subscript digit three","alternative":"subscript three","short":"sub three"}},"key":"2083"},{"category":"No","mappings":{"default":{"default":"subscript digit four","alternative":"subscript four","short":"sub four"}},"key":"2084"},{"category":"No","mappings":{"default":{"default":"subscript digit five","alternative":"subscript five","short":"sub five"}},"key":"2085"},{"category":"No","mappings":{"default":{"default":"subscript digit six","alternative":"subscript six","short":"sub six"}},"key":"2086"},{"category":"No","mappings":{"default":{"default":"subscript digit seven","alternative":"subscript seven","short":"sub seven"}},"key":"2087"},{"category":"No","mappings":{"default":{"default":"subscript digit eight","alternative":"subscript eight","short":"sub eight"}},"key":"2088"},{"category":"No","mappings":{"default":{"default":"subscript digit nine","alternative":"subscript nine","short":"sub nine"}},"key":"2089"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one seventh","short":"one seventh"}},"key":"2150"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one ninth","short":"one ninth"}},"key":"2151"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one tenth","short":"one tenth"}},"key":"2152"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one third","alternative":"fraction one third","short":"one third"}},"key":"2153"},{"category":"No","mappings":{"default":{"default":"vulgar fraction two thirds","alternative":"fraction two thirds","short":"two thirds"}},"key":"2154"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one fifth","alternative":"fraction one fifth","short":"one fifth"}},"key":"2155"},{"category":"No","mappings":{"default":{"default":"vulgar fraction two fifths","alternative":"fraction two fifths","short":"two fifths"}},"key":"2156"},{"category":"No","mappings":{"default":{"default":"vulgar fraction three fifths","alternative":"fraction three fifths","short":"three fifths"}},"key":"2157"},{"category":"No","mappings":{"default":{"default":"vulgar fraction four fifths","alternative":"fraction four fifths","short":"four fifths"}},"key":"2158"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one sixth","alternative":"fraction one sixth","short":"one sixth"}},"key":"2159"},{"category":"No","mappings":{"default":{"default":"vulgar fraction five sixths","alternative":"fraction five sixths","short":"five sixths"}},"key":"215A"},{"category":"No","mappings":{"default":{"default":"vulgar fraction one eighth","alternative":"fraction one eighth","short":"one eighth"}},"key":"215B"},{"category":"No","mappings":{"default":{"default":"vulgar fraction three eighths","alternative":"fraction three eighths","short":"three eighths"}},"key":"215C"},{"category":"No","mappings":{"default":{"default":"vulgar fraction five eighths","alternative":"fraction five eighths","short":"five eighths"}},"key":"215D"},{"category":"No","mappings":{"default":{"default":"vulgar fraction seven eighths","alternative":"fraction seven eighths","short":"seven eighths"}},"key":"215E"},{"category":"No","mappings":{"default":{"default":"fraction numerator one","short":"numerator one"}},"key":"215F"},{"category":"No","mappings":{"default":{"default":"vulgar fraction zero thirds","short":"zero thirds"}},"key":"2189"},{"category":"No","mappings":{"default":{"default":"circled digit one","short":"circled one"},"mathspeak":{"default":"circled 1"}},"key":"2460"},{"category":"No","mappings":{"default":{"default":"circled digit two","short":"circled two"},"mathspeak":{"default":"circled 2"}},"key":"2461"},{"category":"No","mappings":{"default":{"default":"circled digit three","short":"circled three"},"mathspeak":{"default":"circled 3"}},"key":"2462"},{"category":"No","mappings":{"default":{"default":"circled digit four","short":"circled four"},"mathspeak":{"default":"circled 4"}},"key":"2463"},{"category":"No","mappings":{"default":{"default":"circled digit five","short":"circled five"},"mathspeak":{"default":"circled 5"}},"key":"2464"},{"category":"No","mappings":{"default":{"default":"circled digit six","short":"circled six"},"mathspeak":{"default":"circled 6"}},"key":"2465"},{"category":"No","mappings":{"default":{"default":"circled digit seven","short":"circled seven"},"mathspeak":{"default":"circled 7"}},"key":"2466"},{"category":"No","mappings":{"default":{"default":"circled digit eight","short":"circled eight"},"mathspeak":{"default":"circled 8"}},"key":"2467"},{"category":"No","mappings":{"default":{"default":"circled digit nine","short":"circled nine"},"mathspeak":{"default":"circled 9"}},"key":"2468"},{"category":"No","mappings":{"default":{"default":"circled number ten","short":"circled ten"},"mathspeak":{"default":"circled 10"}},"key":"2469"},{"category":"No","mappings":{"default":{"default":"circled number eleven","short":"circled eleven"},"mathspeak":{"default":"circled 11"}},"key":"246A"},{"category":"No","mappings":{"default":{"default":"circled number twelve","short":"circled twelve"},"mathspeak":{"default":"circled 12"}},"key":"246B"},{"category":"No","mappings":{"default":{"default":"circled number thirteen","short":"circled thirteen"},"mathspeak":{"default":"circled 13"}},"key":"246C"},{"category":"No","mappings":{"default":{"default":"circled number fourteen","short":"circled fourteen"},"mathspeak":{"default":"circled 14"}},"key":"246D"},{"category":"No","mappings":{"default":{"default":"circled number fifteen","short":"circled fifteen"},"mathspeak":{"default":"circled 15"}},"key":"246E"},{"category":"No","mappings":{"default":{"default":"circled number sixteen","short":"circled sixteen"},"mathspeak":{"default":"circled 16"}},"key":"246F"},{"category":"No","mappings":{"default":{"default":"circled number seventeen","short":"circled seventeen"},"mathspeak":{"default":"circled 17"}},"key":"2470"},{"category":"No","mappings":{"default":{"default":"circled number eighteen","short":"circled eighteen"},"mathspeak":{"default":"circled 18"}},"key":"2471"},{"category":"No","mappings":{"default":{"default":"circled number nineteen","short":"circled nineteen"},"mathspeak":{"default":"circled 19"}},"key":"2472"},{"category":"No","mappings":{"default":{"default":"circled number twenty","short":"circled twenty"},"mathspeak":{"default":"circled 20"}},"key":"2473"},{"category":"No","mappings":{"default":{"default":"parenthesized digit one","short":"parenthesized one"},"mathspeak":{"default":"parenthesized 1"}},"key":"2474"},{"category":"No","mappings":{"default":{"default":"parenthesized digit two","short":"parenthesized two"},"mathspeak":{"default":"parenthesized 2"}},"key":"2475"},{"category":"No","mappings":{"default":{"default":"parenthesized digit three","short":"parenthesized three"},"mathspeak":{"default":"parenthesized 3"}},"key":"2476"},{"category":"No","mappings":{"default":{"default":"parenthesized digit four","short":"parenthesized four"},"mathspeak":{"default":"parenthesized 4"}},"key":"2477"},{"category":"No","mappings":{"default":{"default":"parenthesized digit five","short":"parenthesized five"},"mathspeak":{"default":"parenthesized 5"}},"key":"2478"},{"category":"No","mappings":{"default":{"default":"parenthesized digit six","short":"parenthesized six"},"mathspeak":{"default":"parenthesized 6"}},"key":"2479"},{"category":"No","mappings":{"default":{"default":"parenthesized digit seven","short":"parenthesized seven"},"mathspeak":{"default":"parenthesized 7"}},"key":"247A"},{"category":"No","mappings":{"default":{"default":"parenthesized digit eight","short":"parenthesized eight"},"mathspeak":{"default":"parenthesized 8"}},"key":"247B"},{"category":"No","mappings":{"default":{"default":"parenthesized digit nine","short":"parenthesized nine"},"mathspeak":{"default":"parenthesized 9"}},"key":"247C"},{"category":"No","mappings":{"default":{"default":"parenthesized number ten","short":"parenthesized ten"},"mathspeak":{"default":"parenthesized 10"}},"key":"247D"},{"category":"No","mappings":{"default":{"default":"parenthesized number eleven","short":"parenthesized eleven"},"mathspeak":{"default":"parenthesized 11"}},"key":"247E"},{"category":"No","mappings":{"default":{"default":"parenthesized number twelve","short":"parenthesized twelve"},"mathspeak":{"default":"parenthesized 12"}},"key":"247F"},{"category":"No","mappings":{"default":{"default":"parenthesized number thirteen","short":"parenthesized thirteen"},"mathspeak":{"default":"parenthesized 13"}},"key":"2480"},{"category":"No","mappings":{"default":{"default":"parenthesized number fourteen","short":"parenthesized fourteen"},"mathspeak":{"default":"parenthesized 14"}},"key":"2481"},{"category":"No","mappings":{"default":{"default":"parenthesized number fifteen","short":"parenthesized fifteen"},"mathspeak":{"default":"parenthesized 15"}},"key":"2482"},{"category":"No","mappings":{"default":{"default":"parenthesized number sixteen","short":"parenthesized sixteen"},"mathspeak":{"default":"parenthesized 16"}},"key":"2483"},{"category":"No","mappings":{"default":{"default":"parenthesized number seventeen","short":"parenthesized seventeen"},"mathspeak":{"default":"parenthesized 17"}},"key":"2484"},{"category":"No","mappings":{"default":{"default":"parenthesized number eighteen","short":"parenthesized eighteen"},"mathspeak":{"default":"parenthesized 18"}},"key":"2485"},{"category":"No","mappings":{"default":{"default":"parenthesized number nineteen","short":"parenthesized nineteen"},"mathspeak":{"default":"parenthesized 19"}},"key":"2486"},{"category":"No","mappings":{"default":{"default":"parenthesized number twenty","short":"parenthesized twenty"},"mathspeak":{"default":"parenthesized 20"}},"key":"2487"},{"category":"No","mappings":{"default":{"default":"digit one full stop","alternative":"digit one period","short":"one period"},"mathspeak":{"default":"1 period"}},"key":"2488"},{"category":"No","mappings":{"default":{"default":"digit two full stop","alternative":"digit two period","short":"two period"},"mathspeak":{"default":"2 period"}},"key":"2489"},{"category":"No","mappings":{"default":{"default":"digit three full stop","alternative":"digit three period","short":"three period"},"mathspeak":{"default":"3 period"}},"key":"248A"},{"category":"No","mappings":{"default":{"default":"digit four full stop","alternative":"digit four period","short":"four period"},"mathspeak":{"default":"4 period"}},"key":"248B"},{"category":"No","mappings":{"default":{"default":"digit five full stop","alternative":"digit five period","short":"five period"},"mathspeak":{"default":"5 period"}},"key":"248C"},{"category":"No","mappings":{"default":{"default":"digit six full stop","alternative":"digit six period","short":"six period"},"mathspeak":{"default":"6 period"}},"key":"248D"},{"category":"No","mappings":{"default":{"default":"digit seven full stop","alternative":"digit seven period","short":"seven period"},"mathspeak":{"default":"7 period"}},"key":"248E"},{"category":"No","mappings":{"default":{"default":"digit eight full stop","alternative":"digit eight period","short":"eight period"},"mathspeak":{"default":"8 period"}},"key":"248F"},{"category":"No","mappings":{"default":{"default":"digit nine full stop","alternative":"digit nine period","short":"nine period"},"mathspeak":{"default":"9 period"}},"key":"2490"},{"category":"No","mappings":{"default":{"default":"number ten full stop","alternative":"number ten period","short":"ten period"},"mathspeak":{"default":"10 period"}},"key":"2491"},{"category":"No","mappings":{"default":{"default":"number eleven full stop","alternative":"number eleven period","short":"eleven period"},"mathspeak":{"default":"11 period"}},"key":"2492"},{"category":"No","mappings":{"default":{"default":"number twelve full stop","alternative":"number twelve period","short":"twelve period"},"mathspeak":{"default":"12 period"}},"key":"2493"},{"category":"No","mappings":{"default":{"default":"number thirteen full stop","alternative":"number thirteen period","short":"thirteen period"},"mathspeak":{"default":"13 period"}},"key":"2494"},{"category":"No","mappings":{"default":{"default":"number fourteen full stop","alternative":"number fourteen period","short":"fourteen period"},"mathspeak":{"default":"14 period"}},"key":"2495"},{"category":"No","mappings":{"default":{"default":"number fifteen full stop","alternative":"number fifteen period","short":"fifteen period"},"mathspeak":{"default":"15 period"}},"key":"2496"},{"category":"No","mappings":{"default":{"default":"number sixteen full stop","alternative":"number sixteen period","short":"sixteen period"},"mathspeak":{"default":"16 period"}},"key":"2497"},{"category":"No","mappings":{"default":{"default":"number seventeen full stop","alternative":"number seventeen period","short":"seventeen period"},"mathspeak":{"default":"17 period"}},"key":"2498"},{"category":"No","mappings":{"default":{"default":"number eighteen full stop","alternative":"number eighteen period","short":"eighteen period"},"mathspeak":{"default":"18 period"}},"key":"2499"},{"category":"No","mappings":{"default":{"default":"number nineteen full stop","alternative":"number nineteen period","short":"nineteen period"},"mathspeak":{"default":"19 period"}},"key":"249A"},{"category":"No","mappings":{"default":{"default":"number twenty full stop","alternative":"number twenty period","short":"twenty period"},"mathspeak":{"default":"20 period"}},"key":"249B"},{"category":"No","mappings":{"default":{"default":"circled digit zero","short":"circled zero"},"mathspeak":{"default":"circled 0"}},"key":"24EA"},{"category":"No","mappings":{"default":{"default":"negative circled number eleven","short":"negative circled eleven"},"mathspeak":{"default":"negative circled 11"}},"key":"24EB"},{"category":"No","mappings":{"default":{"default":"negative circled number twelve","short":"negative circled twelve"},"mathspeak":{"default":"negative circled 12"}},"key":"24EC"},{"category":"No","mappings":{"default":{"default":"negative circled number thirteen","short":"negative circled thirteen"},"mathspeak":{"default":"negative circled 13"}},"key":"24ED"},{"category":"No","mappings":{"default":{"default":"negative circled number fourteen","short":"negative circled fourteen"},"mathspeak":{"default":"negative circled 14"}},"key":"24EE"},{"category":"No","mappings":{"default":{"default":"negative circled number fifteen","short":"negative circled fifteen"},"mathspeak":{"default":"negative circled 15"}},"key":"24EF"},{"category":"No","mappings":{"default":{"default":"negative circled number sixteen","short":"negative circled sixteen"},"mathspeak":{"default":"negative circled 16"}},"key":"24F0"},{"category":"No","mappings":{"default":{"default":"negative circled number seventeen","short":"negative circled seventeen"},"mathspeak":{"default":"negative circled 17"}},"key":"24F1"},{"category":"No","mappings":{"default":{"default":"negative circled number eighteen","short":"negative circled eighteen"},"mathspeak":{"default":"negative circled 18"}},"key":"24F2"},{"category":"No","mappings":{"default":{"default":"negative circled number nineteen","short":"negative circled nineteen"},"mathspeak":{"default":"negative circled 19"}},"key":"24F3"},{"category":"No","mappings":{"default":{"default":"negative circled number twenty","short":"negative circled twenty"},"mathspeak":{"default":"negative circled 20"}},"key":"24F4"},{"category":"No","mappings":{"default":{"default":"double circled digit one","short":"double circled one"},"mathspeak":{"default":"double circled 1"}},"key":"24F5"},{"category":"No","mappings":{"default":{"default":"double circled digit two","short":"double circled two"},"mathspeak":{"default":"double circled 2"}},"key":"24F6"},{"category":"No","mappings":{"default":{"default":"double circled digit three","short":"double circled three"},"mathspeak":{"default":"double circled 3"}},"key":"24F7"},{"category":"No","mappings":{"default":{"default":"double circled digit four","short":"double circled four"},"mathspeak":{"default":"double circled 4"}},"key":"24F8"},{"category":"No","mappings":{"default":{"default":"double circled digit five","short":"double circled five"},"mathspeak":{"default":"double circled 5"}},"key":"24F9"},{"category":"No","mappings":{"default":{"default":"double circled digit six","short":"double circled six"},"mathspeak":{"default":"double circled 6"}},"key":"24FA"},{"category":"No","mappings":{"default":{"default":"double circled digit seven","short":"double circled seven"},"mathspeak":{"default":"double circled 7"}},"key":"24FB"},{"category":"No","mappings":{"default":{"default":"double circled digit eight","short":"double circled eight"},"mathspeak":{"default":"double circled 8"}},"key":"24FC"},{"category":"No","mappings":{"default":{"default":"double circled digit nine","short":"double circled nine"},"mathspeak":{"default":"double circled 9"}},"key":"24FD"},{"category":"No","mappings":{"default":{"default":"double circled number ten","short":"double circled ten"},"mathspeak":{"default":"double circled 10"}},"key":"24FE"},{"category":"No","mappings":{"default":{"default":"negative circled digit zero","short":"negative circled zero"},"mathspeak":{"default":"negative circled 0"}},"key":"24FF"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit one","alternative":"inverse circled digit one","short":"inverse circled one"},"mathspeak":{"default":"inverse circled 1"}},"key":"2776"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit two","alternative":"inverse circled digit two","short":"inverse circled two"},"mathspeak":{"default":"inverse circled 2"}},"key":"2777"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit three","alternative":"inverse circled digit three","short":"inverse circled three"},"mathspeak":{"default":"inverse circled 3"}},"key":"2778"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit four","alternative":"inverse circled digit four","short":"inverse circled four"},"mathspeak":{"default":"inverse circled 4"}},"key":"2779"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit five","alternative":"inverse circled digit five","short":"inverse circled five"},"mathspeak":{"default":"inverse circled 5"}},"key":"277A"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit six","alternative":"inverse circled digit six","short":"inverse circled six"},"mathspeak":{"default":"inverse circled 6"}},"key":"277B"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit seven","alternative":"inverse circled digit seven","short":"inverse circled seven"},"mathspeak":{"default":"inverse circled 7"}},"key":"277C"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit eight","alternative":"inverse circled digit eight","short":"inverse circled eight"},"mathspeak":{"default":"inverse circled 8"}},"key":"277D"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled digit nine","alternative":"inverse circled digit nine","short":"inverse circled nine"},"mathspeak":{"default":"inverse circled 9"}},"key":"277E"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled number ten","alternative":"inverse circled number ten","short":"inverse circled ten"},"mathspeak":{"default":"inverse circled 10"}},"key":"277F"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit one","alternative":"circled sans serif digit one","short":"circled one"}},"key":"2780"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit two","alternative":"circled sans serif digit two","short":"circled two"}},"key":"2781"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit three","alternative":"circled sans serif digit three","short":"circled three"}},"key":"2782"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit four","alternative":"circled sans serif digit four","short":"circled four"}},"key":"2783"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit five","alternative":"circled sans serif digit five","short":"circled five"}},"key":"2784"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit six","alternative":"circled sans serif digit six","short":"circled six"}},"key":"2785"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit seven","alternative":"circled sans serif digit seven","short":"circled seven"}},"key":"2786"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit eight","alternative":"circled sans serif digit eight","short":"circled eight"}},"key":"2787"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif digit nine","alternative":"circled sans serif digit nine","short":"circled nine"}},"key":"2788"},{"category":"No","mappings":{"default":{"default":"dingbat circled sans serif number ten","alternative":"circled sans serif number ten","short":"circled ten"}},"key":"2789"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit one","alternative":"inverse circled sans serif digit one","short":"inverse circled one"},"mathspeak":{"default":"inverse circled 1"}},"key":"278A"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit two","alternative":"inverse circled sans serif digit two","short":"inverse circled two"},"mathspeak":{"default":"inverse circled 2"}},"key":"278B"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit three","alternative":"inverse circled sans serif digit three","short":"inverse circled three"},"mathspeak":{"default":"inverse circled 3"}},"key":"278C"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit four","alternative":"inverse circled sans serif digit four","short":"inverse circled four"},"mathspeak":{"default":"inverse circled 4"}},"key":"278D"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit five","alternative":"inverse circled sans serif digit five","short":"inverse circled five"},"mathspeak":{"default":"inverse circled 5"}},"key":"278E"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit six","alternative":"inverse circled sans serif digit six","short":"inverse circled six"},"mathspeak":{"default":"inverse circled 6"}},"key":"278F"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit seven","alternative":"inverse circled sans serif digit seven","short":"inverse circled seven"},"mathspeak":{"default":"inverse circled 7"}},"key":"2790"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit eight","alternative":"inverse circled sans serif digit eight","short":"inverse circled eight"},"mathspeak":{"default":"inverse circled 8"}},"key":"2791"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif digit nine","alternative":"inverse circled sans serif digit nine","short":"inverse circled nine"},"mathspeak":{"default":"inverse circled 9"}},"key":"2792"},{"category":"No","mappings":{"default":{"default":"dingbat negative circled sans serif number ten","alternative":"inverse circled sans serif number ten","short":"inverse circled ten"},"mathspeak":{"default":"inverse circled 10"}},"key":"2793"},{"category":"No","mappings":{"default":{"default":"circled number ten on black square","short":"circled ten on black square"}},"key":"3248"},{"category":"No","mappings":{"default":{"default":"circled number twenty on black square","short":"circled twenty on black square"}},"key":"3249"},{"category":"No","mappings":{"default":{"default":"circled number thirty on black square","short":"circled thirty on black square"}},"key":"324A"},{"category":"No","mappings":{"default":{"default":"circled number forty on black square","short":"circled forty on black square"}},"key":"324B"},{"category":"No","mappings":{"default":{"default":"circled number fifty on black square","short":"circled fifty on black square"}},"key":"324C"},{"category":"No","mappings":{"default":{"default":"circled number sixty on black square","short":"circled sixty on black square"}},"key":"324D"},{"category":"No","mappings":{"default":{"default":"circled number seventy on black square","short":"circled seventy on black square"}},"key":"324E"},{"category":"No","mappings":{"default":{"default":"circled number eighty on black square","short":"circled eighty on black square"}},"key":"324F"},{"category":"No","mappings":{"default":{"default":"circled number twenty one","short":"circled twenty one"}},"key":"3251"},{"category":"No","mappings":{"default":{"default":"circled number twenty two","short":"circled twenty two"}},"key":"3252"},{"category":"No","mappings":{"default":{"default":"circled number twenty three","short":"circled twenty three"}},"key":"3253"},{"category":"No","mappings":{"default":{"default":"circled number twenty four","short":"circled twenty four"}},"key":"3254"},{"category":"No","mappings":{"default":{"default":"circled number twenty five","short":"circled twenty five"}},"key":"3255"},{"category":"No","mappings":{"default":{"default":"circled number twenty six","short":"circled twenty six"}},"key":"3256"},{"category":"No","mappings":{"default":{"default":"circled number twenty seven","short":"circled twenty seven"}},"key":"3257"},{"category":"No","mappings":{"default":{"default":"circled number twenty eight","short":"circled twenty eight"}},"key":"3258"},{"category":"No","mappings":{"default":{"default":"circled number twenty nine","short":"circled twenty nine"}},"key":"3259"},{"category":"No","mappings":{"default":{"default":"circled number thirty","short":"circled thirty"}},"key":"325A"},{"category":"No","mappings":{"default":{"default":"circled number thirty one","short":"circled thirty one"}},"key":"325B"},{"category":"No","mappings":{"default":{"default":"circled number thirty two","short":"circled thirty two"}},"key":"325C"},{"category":"No","mappings":{"default":{"default":"circled number thirty three","short":"circled thirty three"}},"key":"325D"},{"category":"No","mappings":{"default":{"default":"circled number thirty four","short":"circled thirty four"}},"key":"325E"},{"category":"No","mappings":{"default":{"default":"circled number thirty five","short":"circled thirty five"}},"key":"325F"},{"category":"No","mappings":{"default":{"default":"circled number thirty six","short":"circled thirty six"}},"key":"32B1"},{"category":"No","mappings":{"default":{"default":"circled number thirty seven","short":"circled thirty seven"}},"key":"32B2"},{"category":"No","mappings":{"default":{"default":"circled number thirty eight","short":"circled thirty eight"}},"key":"32B3"},{"category":"No","mappings":{"default":{"default":"circled number thirty nine","short":"circled thirty nine"}},"key":"32B4"},{"category":"No","mappings":{"default":{"default":"circled number forty","short":"circled forty"}},"key":"32B5"},{"category":"No","mappings":{"default":{"default":"circled number forty one","short":"circled forty one"}},"key":"32B6"},{"category":"No","mappings":{"default":{"default":"circled number forty two","short":"circled forty two"}},"key":"32B7"},{"category":"No","mappings":{"default":{"default":"circled number forty three","short":"circled forty three"}},"key":"32B8"},{"category":"No","mappings":{"default":{"default":"circled number forty four","short":"circled forty four"}},"key":"32B9"},{"category":"No","mappings":{"default":{"default":"circled number forty five","short":"circled forty five"}},"key":"32BA"},{"category":"No","mappings":{"default":{"default":"circled number forty six","short":"circled forty six"}},"key":"32BB"},{"category":"No","mappings":{"default":{"default":"circled number forty seven","short":"circled forty seven"}},"key":"32BC"},{"category":"No","mappings":{"default":{"default":"circled number forty eight","short":"circled forty eight"}},"key":"32BD"},{"category":"No","mappings":{"default":{"default":"circled number forty nine","short":"circled forty nine"}},"key":"32BE"},{"category":"No","mappings":{"default":{"default":"circled number fifty","short":"circled fifty"}},"key":"32BF"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit zero","short":"zero"},"mathspeak":{"default":"0"}},"key":"FF10"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit one","short":"one"},"mathspeak":{"default":"1"}},"key":"FF11"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit two","short":"two"},"mathspeak":{"default":"2"}},"key":"FF12"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit three","short":"three"},"mathspeak":{"default":"3"}},"key":"FF13"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit four","short":"four"},"mathspeak":{"default":"4"}},"key":"FF14"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit five","short":"five"},"mathspeak":{"default":"5"}},"key":"FF15"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit six","short":"six"},"mathspeak":{"default":"6"}},"key":"FF16"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit seven","short":"seven"},"mathspeak":{"default":"7"}},"key":"FF17"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit eight","short":"eight"},"mathspeak":{"default":"8"}},"key":"FF18"},{"category":"Nd","mappings":{"default":{"default":"fullwidth digit nine","short":"nine"},"mathspeak":{"default":"9"}},"key":"FF19"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit zero","alternative":"bold digit zero","short":"bold zero"},"mathspeak":{"default":"bold 0"}},"key":"1D7CE"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit one","alternative":"bold digit one","short":"bold one"},"mathspeak":{"default":"bold 1"}},"key":"1D7CF"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit two","alternative":"bold digit two","short":"bold two"},"mathspeak":{"default":"bold 2"}},"key":"1D7D0"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit three","alternative":"bold digit three","short":"bold three"},"mathspeak":{"default":"bold 3"}},"key":"1D7D1"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit four","alternative":"bold digit four","short":"bold four"},"mathspeak":{"default":"bold 4"}},"key":"1D7D2"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit five","alternative":"bold digit five","short":"bold five"},"mathspeak":{"default":"bold 5"}},"key":"1D7D3"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit six","alternative":"bold digit six","short":"bold six"},"mathspeak":{"default":"bold 6"}},"key":"1D7D4"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit seven","alternative":"bold digit seven","short":"bold seven"},"mathspeak":{"default":"bold 7"}},"key":"1D7D5"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit eight","alternative":"bold digit eight","short":"bold eight"},"mathspeak":{"default":"bold 8"}},"key":"1D7D6"},{"category":"Nd","mappings":{"default":{"default":"mathematical bold digit nine","alternative":"bold digit nine","short":"bold nine"},"mathspeak":{"default":"bold 9"}},"key":"1D7D7"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit zero","alternative":"double struck zero","short":"blackboard zero"},"mathspeak":{"default":"blackboard 0"}},"key":"1D7D8"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit one","alternative":"double struck one","short":"blackboard one"},"mathspeak":{"default":"blackboard 1"}},"key":"1D7D9"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit two","alternative":"double struck two","short":"blackboard two"},"mathspeak":{"default":"blackboard 2"}},"key":"1D7DA"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit three","alternative":"double struck three","short":"blackboard three"},"mathspeak":{"default":"blackboard 3"}},"key":"1D7DB"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit four","alternative":"double struck four","short":"blackboard four"},"mathspeak":{"default":"blackboard 4"}},"key":"1D7DC"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit five","alternative":"double struck five","short":"blackboard five"},"mathspeak":{"default":"blackboard 5"}},"key":"1D7DD"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit six","alternative":"double struck six","short":"blackboard six"},"mathspeak":{"default":"blackboard 6"}},"key":"1D7DE"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit seven","alternative":"double struck seven","short":"blackboard seven"},"mathspeak":{"default":"blackboard 7"}},"key":"1D7DF"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit eight","alternative":"double struck eight","short":"blackboard eight"},"mathspeak":{"default":"blackboard 8"}},"key":"1D7E0"},{"category":"Nd","mappings":{"default":{"default":"mathematical double struck digit nine","alternative":"double struck nine","short":"blackboard nine"},"mathspeak":{"default":"blackboard 9"}},"key":"1D7E1"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit zero","alternative":"sans serif digit zero","short":"sans serif zero"},"mathspeak":{"default":"sans serif 0"}},"key":"1D7E2"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit one","alternative":"sans serif digit one","short":"sans serif one"},"mathspeak":{"default":"sans serif 1"}},"key":"1D7E3"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit two","alternative":"sans serif digit two","short":"sans serif two"},"mathspeak":{"default":"sans serif 2"}},"key":"1D7E4"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit three","alternative":"sans serif digit three","short":"sans serif three"},"mathspeak":{"default":"sans serif 3"}},"key":"1D7E5"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit four","alternative":"sans serif digit four","short":"sans serif four"},"mathspeak":{"default":"sans serif 4"}},"key":"1D7E6"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit five","alternative":"sans serif digit five","short":"sans serif five"},"mathspeak":{"default":"sans serif 5"}},"key":"1D7E7"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit six","alternative":"sans serif digit six","short":"sans serif six"},"mathspeak":{"default":"sans serif 6"}},"key":"1D7E8"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit seven","alternative":"sans serif digit seven","short":"sans serif seven"},"mathspeak":{"default":"sans serif 7"}},"key":"1D7E9"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit eight","alternative":"sans serif digit eight","short":"sans serif eight"},"mathspeak":{"default":"sans serif 8"}},"key":"1D7EA"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif digit nine","alternative":"sans serif digit nine","short":"sans serif nine"},"mathspeak":{"default":"sans serif 9"}},"key":"1D7EB"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit zero","alternative":"sans serif bold digit zero","short":"sans serif bold zero"},"mathspeak":{"default":"sans serif bold 0"}},"key":"1D7EC"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit one","alternative":"sans serif bold digit one","short":"sans serif bold one"},"mathspeak":{"default":"sans serif bold 1"}},"key":"1D7ED"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit two","alternative":"sans serif bold digit two","short":"sans serif bold two"},"mathspeak":{"default":"sans serif bold 2"}},"key":"1D7EE"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit three","alternative":"sans serif bold digit three","short":"sans serif bold three"},"mathspeak":{"default":"sans serif bold 3"}},"key":"1D7EF"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit four","alternative":"sans serif bold digit four","short":"sans serif bold four"},"mathspeak":{"default":"sans serif bold 4"}},"key":"1D7F0"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit five","alternative":"sans serif bold digit five","short":"sans serif bold five"},"mathspeak":{"default":"sans serif bold 5"}},"key":"1D7F1"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit six","alternative":"sans serif bold digit six","short":"sans serif bold six"},"mathspeak":{"default":"sans serif bold 6"}},"key":"1D7F2"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit seven","alternative":"sans serif bold digit seven","short":"sans serif bold seven"},"mathspeak":{"default":"sans serif bold 7"}},"key":"1D7F3"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit eight","alternative":"sans serif bold digit eight","short":"sans serif bold eight"},"mathspeak":{"default":"sans serif bold 8"}},"key":"1D7F4"},{"category":"Nd","mappings":{"default":{"default":"mathematical sans serif bold digit nine","alternative":"sans serif bold digit nine","short":"sans serif bold nine"},"mathspeak":{"default":"sans serif bold 9"}},"key":"1D7F5"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit zero","alternative":"monospace zero","short":"thin zero"},"mathspeak":{"default":"monospace 0"}},"key":"1D7F6"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit one","alternative":"monospace one","short":"thin one"},"mathspeak":{"default":"monospace 1"}},"key":"1D7F7"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit two","alternative":"monospace two","short":"thin two"},"mathspeak":{"default":"monospace 2"}},"key":"1D7F8"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit three","alternative":"monospace three","short":"thin three"},"mathspeak":{"default":"monospace 3"}},"key":"1D7F9"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit four","alternative":"monospace four","short":"thin four"},"mathspeak":{"default":"monospace 4"}},"key":"1D7FA"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit five","alternative":"monospace five","short":"thin five"},"mathspeak":{"default":"monospace 5"}},"key":"1D7FB"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit six","alternative":"monospace six","short":"thin six"},"mathspeak":{"default":"monospace 6"}},"key":"1D7FC"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit seven","alternative":"monospace seven","short":"thin seven"},"mathspeak":{"default":"monospace 7"}},"key":"1D7FD"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit eight","alternative":"monospace eight","short":"thin eight"},"mathspeak":{"default":"monospace 8"}},"key":"1D7FE"},{"category":"Nd","mappings":{"default":{"default":"mathematical monospace digit nine","alternative":"monospace nine","short":"thin nine"},"mathspeak":{"default":"monospace 9"}},"key":"1D7FF"},{"category":"No","mappings":{"default":{"default":"digit zero full stop","short":"zero period"},"mathspeak":{"default":"0 period"}},"key":"1F100"},{"category":"No","mappings":{"default":{"default":"digit zero comma","short":"zero comma"},"mathspeak":{"default":"0 comma"}},"key":"1F101"},{"category":"No","mappings":{"default":{"default":"digit one comma","short":"one comma"},"mathspeak":{"default":"1 comma"}},"key":"1F102"},{"category":"No","mappings":{"default":{"default":"digit two comma","short":"two comma"},"mathspeak":{"default":"2 comma"}},"key":"1F103"},{"category":"No","mappings":{"default":{"default":"digit three comma","short":"three comma"},"mathspeak":{"default":"3 comma"}},"key":"1F104"},{"category":"No","mappings":{"default":{"default":"digit four comma","short":"four comma"},"mathspeak":{"default":"4 comma"}},"key":"1F105"},{"category":"No","mappings":{"default":{"default":"digit five comma","short":"five comma"},"mathspeak":{"default":"5 comma"}},"key":"1F106"},{"category":"No","mappings":{"default":{"default":"digit six comma","short":"six comma"},"mathspeak":{"default":"6 comma"}},"key":"1F107"},{"category":"No","mappings":{"default":{"default":"digit seven comma","short":"seven comma"},"mathspeak":{"default":"7 comma"}},"key":"1F108"},{"category":"No","mappings":{"default":{"default":"digit eight comma","short":"eight comma"},"mathspeak":{"default":"8 comma"}},"key":"1F109"},{"category":"No","mappings":{"default":{"default":"digit nine comma","short":"nine comma"},"mathspeak":{"default":"9 comma"}},"key":"1F10A"}]
+"en/symbols/math_harpoons.js": 
+[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"left harpoon with barb up"}},"key":"21BC"},{"category":"So","mappings":{"default":{"default":"left harpoon with barb down"}},"key":"21BD"},{"category":"So","mappings":{"default":{"default":"up harpoon with barb right"}},"key":"21BE"},{"category":"So","mappings":{"default":{"default":"up harpoon with barb left"}},"key":"21BF"},{"category":"So","mappings":{"default":{"default":"right harpoon with barb up"}},"key":"21C0"},{"category":"So","mappings":{"default":{"default":"right harpoon with barb down"}},"key":"21C1"},{"category":"So","mappings":{"default":{"default":"down harpoon with barb right"}},"key":"21C2"},{"category":"So","mappings":{"default":{"default":"down harpoon with barb left"}},"key":"21C3"},{"category":"So","mappings":{"default":{"default":"left harpoon over right harpoon"}},"key":"21CB"},{"category":"So","mappings":{"default":{"default":"right harpoon over left harpoon"}},"key":"21CC"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb down harpoon"}},"key":"294A"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb up harpoon"}},"key":"294B"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb left harpoon"}},"key":"294C"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb right harpoon"}},"key":"294D"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb up harpoon"}},"key":"294E"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb right harpoon"}},"key":"294F"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb down harpoon"}},"key":"2950"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb left harpoon"}},"key":"2951"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up to bar"}},"key":"2952"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up to bar"}},"key":"2953"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb right to bar"}},"key":"2954"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb right to bar"}},"key":"2955"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down to bar"}},"key":"2956"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down to bar"}},"key":"2957"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left to bar"}},"key":"2958"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left to bar"}},"key":"2959"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up from bar"}},"key":"295A"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up from bar"}},"key":"295B"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb right from bar"}},"key":"295C"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb right from bar"}},"key":"295D"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down from bar"}},"key":"295E"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down from bar"}},"key":"295F"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left from bar"}},"key":"2960"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left from bar"}},"key":"2961"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up above left harpoon with barb down"}},"key":"2962"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left beside up harpoon with barb right"}},"key":"2963"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up above right harpoon with barb down"}},"key":"2964"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left beside down harpoon with barb right"}},"key":"2965"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up above right harpoon with barb up"}},"key":"2966"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down above right harpoon with barb down"}},"key":"2967"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up above left harpoon with barb up"}},"key":"2968"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down above left harpoon with barb down"}},"key":"2969"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb up above long dash"}},"key":"296A"},{"category":"Sm","mappings":{"default":{"default":"left harpoon with barb down below long dash"}},"key":"296B"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb up above long dash"}},"key":"296C"},{"category":"Sm","mappings":{"default":{"default":"right harpoon with barb down below long dash"}},"key":"296D"},{"category":"Sm","mappings":{"default":{"default":"up harpoon with barb left beside down harpoon with barb right"}},"key":"296E"},{"category":"Sm","mappings":{"default":{"default":"down harpoon with barb left beside up harpoon with barb right"}},"key":"296F"},{"category":"Sm","mappings":{"default":{"default":"left fish tail"}},"key":"297C"},{"category":"Sm","mappings":{"default":{"default":"right fish tail"}},"key":"297D"},{"category":"Sm","mappings":{"default":{"default":"up fish tail"}},"key":"297E"},{"category":"Sm","mappings":{"default":{"default":"down fish tail"}},"key":"297F"}]
 ,
-"en/math_geometry.js": 
-[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"box drawings light horizontal","alternative":"forms light horizontal"}},"key":"2500"},{"category":"So","mappings":{"default":{"default":"box drawings heavy horizontal","alternative":"forms heavy horizontal"}},"key":"2501"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical","alternative":"forms light vertical"}},"key":"2502"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical","alternative":"forms heavy vertical"}},"key":"2503"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash horizontal","alternative":"forms light triple dash horizontal"}},"key":"2504"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash horizontal","alternative":"forms heavy triple dash horizontal"}},"key":"2505"},{"category":"So","mappings":{"default":{"default":"box drawings light triple dash vertical","alternative":"forms light triple dash vertical"}},"key":"2506"},{"category":"So","mappings":{"default":{"default":"box drawings heavy triple dash vertical","alternative":"forms heavy triple dash vertical"}},"key":"2507"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash horizontal","alternative":"forms light quadruple dash horizontal"}},"key":"2508"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash horizontal","alternative":"forms heavy quadruple dash horizontal"}},"key":"2509"},{"category":"So","mappings":{"default":{"default":"box drawings light quadruple dash vertical","alternative":"forms light quadruple dash vertical"}},"key":"250A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy quadruple dash vertical","alternative":"forms heavy quadruple dash vertical"}},"key":"250B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and right","alternative":"forms light down and right"}},"key":"250C"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right heavy","alternative":"forms down light and right heavy"}},"key":"250D"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right light","alternative":"forms down heavy and right light"}},"key":"250E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and right","alternative":"forms heavy down and right"}},"key":"250F"},{"category":"So","mappings":{"default":{"default":"box drawings light down and left","alternative":"forms light down and left"}},"key":"2510"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left heavy","alternative":"forms down light and left heavy"}},"key":"2511"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left light","alternative":"forms down heavy and left light"}},"key":"2512"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and left","alternative":"forms heavy down and left"}},"key":"2513"},{"category":"So","mappings":{"default":{"default":"box drawings light up and right","alternative":"forms light up and right"}},"key":"2514"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right heavy","alternative":"forms up light and right heavy"}},"key":"2515"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right light","alternative":"forms up heavy and right light"}},"key":"2516"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and right","alternative":"forms heavy up and right"}},"key":"2517"},{"category":"So","mappings":{"default":{"default":"box drawings light up and left","alternative":"forms light up and left"}},"key":"2518"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left heavy","alternative":"forms up light and left heavy"}},"key":"2519"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left light","alternative":"forms up heavy and left light"}},"key":"251A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and left","alternative":"forms heavy up and left"}},"key":"251B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and right","alternative":"forms light vertical and right"}},"key":"251C"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and right heavy","alternative":"forms vertical light and right heavy"}},"key":"251D"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and right down light","alternative":"forms up heavy and right down light"}},"key":"251E"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and right up light","alternative":"forms down heavy and right up light"}},"key":"251F"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and right light","alternative":"forms vertical heavy and right light"}},"key":"2520"},{"category":"So","mappings":{"default":{"default":"box drawings down light and right up heavy","alternative":"forms down light and right up heavy"}},"key":"2521"},{"category":"So","mappings":{"default":{"default":"box drawings up light and right down heavy","alternative":"forms up light and right down heavy"}},"key":"2522"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and right","alternative":"forms heavy vertical and right"}},"key":"2523"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and left","alternative":"forms light vertical and left"}},"key":"2524"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and left heavy","alternative":"forms vertical light and left heavy"}},"key":"2525"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and left down light","alternative":"forms up heavy and left down light"}},"key":"2526"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and left up light","alternative":"forms down heavy and left up light"}},"key":"2527"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and left light","alternative":"forms vertical heavy and left light"}},"key":"2528"},{"category":"So","mappings":{"default":{"default":"box drawings down light and left up heavy","alternative":"forms down light and left up heavy"}},"key":"2529"},{"category":"So","mappings":{"default":{"default":"box drawings up light and left down heavy","alternative":"forms up light and left down heavy"}},"key":"252A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and left","alternative":"forms heavy vertical and left"}},"key":"252B"},{"category":"So","mappings":{"default":{"default":"box drawings light down and horizontal","alternative":"forms light down and horizontal"}},"key":"252C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right down light","alternative":"forms left heavy and right down light"}},"key":"252D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left down light","alternative":"forms right heavy and left down light"}},"key":"252E"},{"category":"So","mappings":{"default":{"default":"box drawings down light and horizontal heavy","alternative":"forms down light and horizontal heavy"}},"key":"252F"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and horizontal light","alternative":"forms down heavy and horizontal light"}},"key":"2530"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left down heavy","alternative":"forms right light and left down heavy"}},"key":"2531"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right down heavy","alternative":"forms left light and right down heavy"}},"key":"2532"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down and horizontal","alternative":"forms heavy down and horizontal"}},"key":"2533"},{"category":"So","mappings":{"default":{"default":"box drawings light up and horizontal","alternative":"forms light up and horizontal"}},"key":"2534"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right up light","alternative":"forms left heavy and right up light"}},"key":"2535"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left up light","alternative":"forms right heavy and left up light"}},"key":"2536"},{"category":"So","mappings":{"default":{"default":"box drawings up light and horizontal heavy","alternative":"forms up light and horizontal heavy"}},"key":"2537"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and horizontal light","alternative":"forms up heavy and horizontal light"}},"key":"2538"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left up heavy","alternative":"forms right light and left up heavy"}},"key":"2539"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right up heavy","alternative":"forms left light and right up heavy"}},"key":"253A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and horizontal","alternative":"forms heavy up and horizontal"}},"key":"253B"},{"category":"So","mappings":{"default":{"default":"box drawings light vertical and horizontal","alternative":"forms light vertical and horizontal"}},"key":"253C"},{"category":"So","mappings":{"default":{"default":"box drawings left heavy and right vertical light","alternative":"forms left heavy and right vertical light"}},"key":"253D"},{"category":"So","mappings":{"default":{"default":"box drawings right heavy and left vertical light","alternative":"forms right heavy and left vertical light"}},"key":"253E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical light and horizontal heavy","alternative":"forms vertical light and horizontal heavy"}},"key":"253F"},{"category":"So","mappings":{"default":{"default":"box drawings up heavy and down horizontal light","alternative":"forms up heavy and down horizontal light"}},"key":"2540"},{"category":"So","mappings":{"default":{"default":"box drawings down heavy and up horizontal light","alternative":"forms down heavy and up horizontal light"}},"key":"2541"},{"category":"So","mappings":{"default":{"default":"box drawings vertical heavy and horizontal light","alternative":"forms vertical heavy and horizontal light"}},"key":"2542"},{"category":"So","mappings":{"default":{"default":"box drawings left up heavy and right down light","alternative":"forms left up heavy and right down light"}},"key":"2543"},{"category":"So","mappings":{"default":{"default":"box drawings right up heavy and left down light","alternative":"forms right up heavy and left down light"}},"key":"2544"},{"category":"So","mappings":{"default":{"default":"box drawings left down heavy and right up light","alternative":"forms left down heavy and right up light"}},"key":"2545"},{"category":"So","mappings":{"default":{"default":"box drawings right down heavy and left up light","alternative":"forms right down heavy and left up light"}},"key":"2546"},{"category":"So","mappings":{"default":{"default":"box drawings down light and up horizontal heavy","alternative":"forms down light and up horizontal heavy"}},"key":"2547"},{"category":"So","mappings":{"default":{"default":"box drawings up light and down horizontal heavy","alternative":"forms up light and down horizontal heavy"}},"key":"2548"},{"category":"So","mappings":{"default":{"default":"box drawings right light and left vertical heavy","alternative":"forms right light and left vertical heavy"}},"key":"2549"},{"category":"So","mappings":{"default":{"default":"box drawings left light and right vertical heavy","alternative":"forms left light and right vertical heavy"}},"key":"254A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy vertical and horizontal","alternative":"forms heavy vertical and horizontal"}},"key":"254B"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash horizontal","alternative":"forms light double dash horizontal"}},"key":"254C"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash horizontal","alternative":"forms heavy double dash horizontal"}},"key":"254D"},{"category":"So","mappings":{"default":{"default":"box drawings light double dash vertical","alternative":"forms light double dash vertical"}},"key":"254E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy double dash vertical","alternative":"forms heavy double dash vertical"}},"key":"254F"},{"category":"So","mappings":{"default":{"default":"box drawings double horizontal","alternative":"forms double horizontal"}},"key":"2550"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical","alternative":"forms double vertical"}},"key":"2551"},{"category":"So","mappings":{"default":{"default":"box drawings down single and right double","alternative":"forms down single and right double"}},"key":"2552"},{"category":"So","mappings":{"default":{"default":"box drawings down double and right single","alternative":"forms down double and right single"}},"key":"2553"},{"category":"So","mappings":{"default":{"default":"box drawings double down and right","alternative":"forms double down and right"}},"key":"2554"},{"category":"So","mappings":{"default":{"default":"box drawings down single and left double","alternative":"forms down single and left double"}},"key":"2555"},{"category":"So","mappings":{"default":{"default":"box drawings down double and left single","alternative":"forms down double and left single"}},"key":"2556"},{"category":"So","mappings":{"default":{"default":"box drawings double down and left","alternative":"forms double down and left"}},"key":"2557"},{"category":"So","mappings":{"default":{"default":"box drawings up single and right double","alternative":"forms up single and right double"}},"key":"2558"},{"category":"So","mappings":{"default":{"default":"box drawings up double and right single","alternative":"forms up double and right single"}},"key":"2559"},{"category":"So","mappings":{"default":{"default":"box drawings double up and right","alternative":"forms double up and right"}},"key":"255A"},{"category":"So","mappings":{"default":{"default":"box drawings up single and left double","alternative":"forms up single and left double"}},"key":"255B"},{"category":"So","mappings":{"default":{"default":"box drawings up double and left single","alternative":"forms up double and left single"}},"key":"255C"},{"category":"So","mappings":{"default":{"default":"box drawings double up and left","alternative":"forms double up and left"}},"key":"255D"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and right double","alternative":"forms vertical single and right double"}},"key":"255E"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and right single","alternative":"forms vertical double and right single"}},"key":"255F"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and right","alternative":"forms double vertical and right"}},"key":"2560"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and left double","alternative":"forms vertical single and left double"}},"key":"2561"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and left single","alternative":"forms vertical double and left single"}},"key":"2562"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and left","alternative":"forms double vertical and left"}},"key":"2563"},{"category":"So","mappings":{"default":{"default":"box drawings down single and horizontal double","alternative":"forms down single and horizontal double"}},"key":"2564"},{"category":"So","mappings":{"default":{"default":"box drawings down double and horizontal single","alternative":"forms down double and horizontal single"}},"key":"2565"},{"category":"So","mappings":{"default":{"default":"box drawings double down and horizontal","alternative":"forms double down and horizontal"}},"key":"2566"},{"category":"So","mappings":{"default":{"default":"box drawings up single and horizontal double","alternative":"forms up single and horizontal double"}},"key":"2567"},{"category":"So","mappings":{"default":{"default":"box drawings up double and horizontal single","alternative":"forms up double and horizontal single"}},"key":"2568"},{"category":"So","mappings":{"default":{"default":"box drawings double up and horizontal","alternative":"forms double up and horizontal"}},"key":"2569"},{"category":"So","mappings":{"default":{"default":"box drawings vertical single and horizontal double","alternative":"forms vertical single and horizontal double"}},"key":"256A"},{"category":"So","mappings":{"default":{"default":"box drawings vertical double and horizontal single","alternative":"forms vertical double and horizontal single"}},"key":"256B"},{"category":"So","mappings":{"default":{"default":"box drawings double vertical and horizontal","alternative":"forms double vertical and horizontal"}},"key":"256C"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and right","alternative":"forms light arc down and right"}},"key":"256D"},{"category":"So","mappings":{"default":{"default":"box drawings light arc down and left","alternative":"forms light arc down and left"}},"key":"256E"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and left","alternative":"forms light arc up and left"}},"key":"256F"},{"category":"So","mappings":{"default":{"default":"box drawings light arc up and right","alternative":"forms light arc up and right"}},"key":"2570"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper right to lower left","alternative":"forms light diagonal upper right to lower left"}},"key":"2571"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal upper left to lower right","alternative":"forms light diagonal upper left to lower right"}},"key":"2572"},{"category":"So","mappings":{"default":{"default":"box drawings light diagonal cross","alternative":"forms light diagonal cross"}},"key":"2573"},{"category":"So","mappings":{"default":{"default":"box drawings light left","alternative":"forms light left"}},"key":"2574"},{"category":"So","mappings":{"default":{"default":"box drawings light up","alternative":"forms light up"}},"key":"2575"},{"category":"So","mappings":{"default":{"default":"box drawings light right","alternative":"forms light right"}},"key":"2576"},{"category":"So","mappings":{"default":{"default":"box drawings light down","alternative":"forms light down"}},"key":"2577"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left","alternative":"forms heavy left"}},"key":"2578"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up","alternative":"forms heavy up"}},"key":"2579"},{"category":"So","mappings":{"default":{"default":"box drawings heavy right","alternative":"forms heavy right"}},"key":"257A"},{"category":"So","mappings":{"default":{"default":"box drawings heavy down","alternative":"forms heavy down"}},"key":"257B"},{"category":"So","mappings":{"default":{"default":"box drawings light left and heavy right","alternative":"forms light left and heavy right"}},"key":"257C"},{"category":"So","mappings":{"default":{"default":"box drawings light up and heavy down","alternative":"forms light up and heavy down"}},"key":"257D"},{"category":"So","mappings":{"default":{"default":"box drawings heavy left and light right","alternative":"forms heavy left and light right"}},"key":"257E"},{"category":"So","mappings":{"default":{"default":"box drawings heavy up and light down","alternative":"forms heavy up and light down"}},"key":"257F"},{"category":"So","mappings":{"default":{"default":"upper half block"}},"key":"2580"},{"category":"So","mappings":{"default":{"default":"lower one eighth block"}},"key":"2581"},{"category":"So","mappings":{"default":{"default":"lower one quarter block"}},"key":"2582"},{"category":"So","mappings":{"default":{"default":"lower three eighths block"}},"key":"2583"},{"category":"So","mappings":{"default":{"default":"lower half block"}},"key":"2584"},{"category":"So","mappings":{"default":{"default":"lower five eighths block"}},"key":"2585"},{"category":"So","mappings":{"default":{"default":"lower three quarters block","alternative":"lower three quarter block"}},"key":"2586"},{"category":"So","mappings":{"default":{"default":"lower seven eighths block"}},"key":"2587"},{"category":"So","mappings":{"default":{"default":"full block"}},"key":"2588"},{"category":"So","mappings":{"default":{"default":"left seven eighths block"}},"key":"2589"},{"category":"So","mappings":{"default":{"default":"left three quarters block","alternative":"left three quarter block"}},"key":"258A"},{"category":"So","mappings":{"default":{"default":"left five eighths block"}},"key":"258B"},{"category":"So","mappings":{"default":{"default":"left half block"}},"key":"258C"},{"category":"So","mappings":{"default":{"default":"left three eighths block"}},"key":"258D"},{"category":"So","mappings":{"default":{"default":"left one quarter block"}},"key":"258E"},{"category":"So","mappings":{"default":{"default":"left one eighth block"}},"key":"258F"},{"category":"So","mappings":{"default":{"default":"right half block"}},"key":"2590"},{"category":"So","mappings":{"default":{"default":"light shade"}},"key":"2591"},{"category":"So","mappings":{"default":{"default":"medium shade"}},"key":"2592"},{"category":"So","mappings":{"default":{"default":"dark shade"}},"key":"2593"},{"category":"So","mappings":{"default":{"default":"upper one eighth block"}},"key":"2594"},{"category":"So","mappings":{"default":{"default":"right one eighth block"}},"key":"2595"},{"category":"So","mappings":{"default":{"default":"quadrant lower left"}},"key":"2596"},{"category":"So","mappings":{"default":{"default":"quadrant lower right"}},"key":"2597"},{"category":"So","mappings":{"default":{"default":"quadrant upper left"}},"key":"2598"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower left and lower right"}},"key":"2599"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and lower right"}},"key":"259A"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower left"}},"key":"259B"},{"category":"So","mappings":{"default":{"default":"quadrant upper left and upper right and lower right"}},"key":"259C"},{"category":"So","mappings":{"default":{"default":"quadrant upper right"}},"key":"259D"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left"}},"key":"259E"},{"category":"So","mappings":{"default":{"default":"quadrant upper right and lower left and lower right"}},"key":"259F"},{"category":"So","mappings":{"default":{"default":"black square"}},"key":"25A0"},{"category":"So","mappings":{"default":{"default":"white square"}},"key":"25A1"},{"category":"So","mappings":{"default":{"default":"white square with rounded corners"}},"key":"25A2"},{"category":"So","mappings":{"default":{"default":"white square containing black small square"}},"key":"25A3"},{"category":"So","mappings":{"default":{"default":"square with horizontal fill"}},"key":"25A4"},{"category":"So","mappings":{"default":{"default":"square with vertical fill"}},"key":"25A5"},{"category":"So","mappings":{"default":{"default":"square with orthogonal crosshatch fill"}},"key":"25A6"},{"category":"So","mappings":{"default":{"default":"square with upper left to lower right fill"}},"key":"25A7"},{"category":"So","mappings":{"default":{"default":"square with upper right to lower left fill"}},"key":"25A8"},{"category":"So","mappings":{"default":{"default":"square with diagonal crosshatch fill"}},"key":"25A9"},{"category":"So","mappings":{"default":{"default":"black small square"}},"key":"25AA"},{"category":"So","mappings":{"default":{"default":"white small square"}},"key":"25AB"},{"category":"So","mappings":{"default":{"default":"black rectangle"}},"key":"25AC"},{"category":"So","mappings":{"default":{"default":"white rectangle"}},"key":"25AD"},{"category":"So","mappings":{"default":{"default":"black vertical rectangle"}},"key":"25AE"},{"category":"So","mappings":{"default":{"default":"white vertical rectangle"}},"key":"25AF"},{"category":"So","mappings":{"default":{"default":"black parallelogram"}},"key":"25B0"},{"category":"So","mappings":{"default":{"default":"white parallelogram"}},"key":"25B1"},{"category":"So","mappings":{"default":{"default":"black up pointing triangle","alternative":"black up pointing triangle"}},"key":"25B2"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle","alternative":"white up pointing triangle"}},"key":"25B3"},{"category":"So","mappings":{"default":{"default":"black up pointing small triangle","alternative":"black up pointing small triangle"}},"key":"25B4"},{"category":"So","mappings":{"default":{"default":"white up pointing small triangle","alternative":"white up pointing small triangle"}},"key":"25B5"},{"category":"So","mappings":{"default":{"default":"black right pointing triangle","alternative":"black right pointing triangle"}},"key":"25B6"},{"category":"Sm","mappings":{"default":{"default":"white right pointing triangle","alternative":"white right pointing triangle"}},"key":"25B7"},{"category":"So","mappings":{"default":{"default":"black right pointing small triangle","alternative":"black right pointing small triangle"}},"key":"25B8"},{"category":"So","mappings":{"default":{"default":"white right pointing small triangle","alternative":"white right pointing small triangle"}},"key":"25B9"},{"category":"So","mappings":{"default":{"default":"black right pointing pointer","alternative":"black right pointing pointer"}},"key":"25BA"},{"category":"So","mappings":{"default":{"default":"white right pointing pointer","alternative":"white right pointing pointer"}},"key":"25BB"},{"category":"So","mappings":{"default":{"default":"black down pointing triangle","alternative":"black down pointing triangle"}},"key":"25BC"},{"category":"So","mappings":{"default":{"default":"white down pointing triangle","alternative":"white down pointing triangle"}},"key":"25BD"},{"category":"So","mappings":{"default":{"default":"black down pointing small triangle","alternative":"black down pointing small triangle"}},"key":"25BE"},{"category":"So","mappings":{"default":{"default":"white down pointing small triangle","alternative":"white down pointing small triangle"}},"key":"25BF"},{"category":"So","mappings":{"default":{"default":"black left pointing triangle","alternative":"black left pointing triangle"}},"key":"25C0"},{"category":"Sm","mappings":{"default":{"default":"white left pointing triangle","alternative":"white left pointing triangle"}},"key":"25C1"},{"category":"So","mappings":{"default":{"default":"black left pointing small triangle","alternative":"black left pointing small triangle"}},"key":"25C2"},{"category":"So","mappings":{"default":{"default":"white left pointing small triangle","alternative":"white left pointing small triangle"}},"key":"25C3"},{"category":"So","mappings":{"default":{"default":"black left pointing pointer","alternative":"black left pointing pointer"}},"key":"25C4"},{"category":"So","mappings":{"default":{"default":"white left pointing pointer","alternative":"white left pointing pointer"}},"key":"25C5"},{"category":"So","mappings":{"default":{"default":"black diamond"}},"key":"25C6"},{"category":"So","mappings":{"default":{"default":"white diamond"}},"key":"25C7"},{"category":"So","mappings":{"default":{"default":"white diamond containing black small diamond"}},"key":"25C8"},{"category":"So","mappings":{"default":{"default":"fisheye"}},"key":"25C9"},{"category":"So","mappings":{"default":{"default":"lozenge"}},"key":"25CA"},{"category":"So","mappings":{"default":{"default":"white circle"}},"key":"25CB"},{"category":"So","mappings":{"default":{"default":"dotted circle"}},"key":"25CC"},{"category":"So","mappings":{"default":{"default":"circle with vertical fill"}},"key":"25CD"},{"category":"So","mappings":{"default":{"default":"bullseye"}},"key":"25CE"},{"category":"So","mappings":{"default":{"default":"black circle"}},"key":"25CF"},{"category":"So","mappings":{"default":{"default":"circle with left half black"}},"key":"25D0"},{"category":"So","mappings":{"default":{"default":"circle with right half black"}},"key":"25D1"},{"category":"So","mappings":{"default":{"default":"circle with lower half black"}},"key":"25D2"},{"category":"So","mappings":{"default":{"default":"circle with upper half black"}},"key":"25D3"},{"category":"So","mappings":{"default":{"default":"circle with upper right quadrant black"}},"key":"25D4"},{"category":"So","mappings":{"default":{"default":"circle with all but upper left quadrant black"}},"key":"25D5"},{"category":"So","mappings":{"default":{"default":"left half black circle"}},"key":"25D6"},{"category":"So","mappings":{"default":{"default":"right half black circle"}},"key":"25D7"},{"category":"So","mappings":{"default":{"default":"inverse bullet"}},"key":"25D8"},{"category":"So","mappings":{"default":{"default":"inverse white circle"}},"key":"25D9"},{"category":"So","mappings":{"default":{"default":"upper half inverse white circle"}},"key":"25DA"},{"category":"So","mappings":{"default":{"default":"lower half inverse white circle"}},"key":"25DB"},{"category":"So","mappings":{"default":{"default":"upper left quadrant circular arc"}},"key":"25DC"},{"category":"So","mappings":{"default":{"default":"upper right quadrant circular arc"}},"key":"25DD"},{"category":"So","mappings":{"default":{"default":"lower right quadrant circular arc"}},"key":"25DE"},{"category":"So","mappings":{"default":{"default":"lower left quadrant circular arc"}},"key":"25DF"},{"category":"So","mappings":{"default":{"default":"upper half circle"}},"key":"25E0"},{"category":"So","mappings":{"default":{"default":"lower half circle"}},"key":"25E1"},{"category":"So","mappings":{"default":{"default":"black lower right triangle"}},"key":"25E2"},{"category":"So","mappings":{"default":{"default":"black lower left triangle"}},"key":"25E3"},{"category":"So","mappings":{"default":{"default":"black upper left triangle"}},"key":"25E4"},{"category":"So","mappings":{"default":{"default":"black upper right triangle"}},"key":"25E5"},{"category":"So","mappings":{"default":{"default":"white bullet"}},"key":"25E6"},{"category":"So","mappings":{"default":{"default":"square with left half black"}},"key":"25E7"},{"category":"So","mappings":{"default":{"default":"square with right half black"}},"key":"25E8"},{"category":"So","mappings":{"default":{"default":"square with upper left diagonal half black"}},"key":"25E9"},{"category":"So","mappings":{"default":{"default":"square with lower right diagonal half black"}},"key":"25EA"},{"category":"So","mappings":{"default":{"default":"white square with vertical bisecting line"}},"key":"25EB"},{"category":"So","mappings":{"default":{"default":"white up pointing triangle with dot","alternative":"white up pointing triangle with dot"}},"key":"25EC"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with left half black","alternative":"up pointing triangle with left half black"}},"key":"25ED"},{"category":"So","mappings":{"default":{"default":"up pointing triangle with right half black","alternative":"up pointing triangle with right half black"}},"key":"25EE"},{"category":"So","mappings":{"default":{"default":"large circle"}},"key":"25EF"},{"category":"So","mappings":{"default":{"default":"white square with upper left quadrant"}},"key":"25F0"},{"category":"So","mappings":{"default":{"default":"white square with lower left quadrant"}},"key":"25F1"},{"category":"So","mappings":{"default":{"default":"white square with lower right quadrant"}},"key":"25F2"},{"category":"So","mappings":{"default":{"default":"white square with upper right quadrant"}},"key":"25F3"},{"category":"So","mappings":{"default":{"default":"white circle with upper left quadrant"}},"key":"25F4"},{"category":"So","mappings":{"default":{"default":"white circle with lower left quadrant"}},"key":"25F5"},{"category":"So","mappings":{"default":{"default":"white circle with lower right quadrant"}},"key":"25F6"},{"category":"So","mappings":{"default":{"default":"white circle with upper right quadrant"}},"key":"25F7"},{"category":"Sm","mappings":{"default":{"default":"upper left triangle"}},"key":"25F8"},{"category":"Sm","mappings":{"default":{"default":"upper right triangle"}},"key":"25F9"},{"category":"Sm","mappings":{"default":{"default":"lower left triangle"}},"key":"25FA"},{"category":"Sm","mappings":{"default":{"default":"white medium square"}},"key":"25FB"},{"category":"Sm","mappings":{"default":{"default":"black medium square"}},"key":"25FC"},{"category":"Sm","mappings":{"default":{"default":"white medium small square"}},"key":"25FD"},{"category":"Sm","mappings":{"default":{"default":"black medium small square"}},"key":"25FE"},{"category":"Sm","mappings":{"default":{"default":"lower right triangle"}},"key":"25FF"},{"category":"So","mappings":{"default":{"default":"square with top half black"}},"key":"2B12"},{"category":"So","mappings":{"default":{"default":"square with bottom half black"}},"key":"2B13"},{"category":"So","mappings":{"default":{"default":"square with upper right diagonal half black"}},"key":"2B14"},{"category":"So","mappings":{"default":{"default":"square with lower left diagonal half black"}},"key":"2B15"},{"category":"So","mappings":{"default":{"default":"diamond with left half black"}},"key":"2B16"},{"category":"So","mappings":{"default":{"default":"diamond with right half black"}},"key":"2B17"},{"category":"So","mappings":{"default":{"default":"diamond with top half black"}},"key":"2B18"},{"category":"So","mappings":{"default":{"default":"diamond with bottom half black"}},"key":"2B19"},{"category":"So","mappings":{"default":{"default":"dotted square"}},"key":"2B1A"},{"category":"So","mappings":{"default":{"default":"black large square"}},"key":"2B1B"},{"category":"So","mappings":{"default":{"default":"white large square"}},"key":"2B1C"},{"category":"So","mappings":{"default":{"default":"black very small square"}},"key":"2B1D"},{"category":"So","mappings":{"default":{"default":"white very small square"}},"key":"2B1E"},{"category":"So","mappings":{"default":{"default":"black pentagon"}},"key":"2B1F"},{"category":"So","mappings":{"default":{"default":"white pentagon"}},"key":"2B20"},{"category":"So","mappings":{"default":{"default":"white hexagon"}},"key":"2B21"},{"category":"So","mappings":{"default":{"default":"black hexagon"}},"key":"2B22"},{"category":"So","mappings":{"default":{"default":"horizontal black hexagon"}},"key":"2B23"},{"category":"So","mappings":{"default":{"default":"black large circle"}},"key":"2B24"},{"category":"So","mappings":{"default":{"default":"black medium diamond"}},"key":"2B25"},{"category":"So","mappings":{"default":{"default":"white medium diamond"}},"key":"2B26"},{"category":"So","mappings":{"default":{"default":"black medium lozenge"}},"key":"2B27"},{"category":"So","mappings":{"default":{"default":"white medium lozenge"}},"key":"2B28"},{"category":"So","mappings":{"default":{"default":"black small diamond"}},"key":"2B29"},{"category":"So","mappings":{"default":{"default":"black small lozenge"}},"key":"2B2A"},{"category":"So","mappings":{"default":{"default":"white small lozenge"}},"key":"2B2B"},{"category":"So","mappings":{"default":{"default":"black horizontal ellipse"}},"key":"2B2C"},{"category":"So","mappings":{"default":{"default":"white horizontal ellipse"}},"key":"2B2D"},{"category":"So","mappings":{"default":{"default":"black vertical ellipse"}},"key":"2B2E"},{"category":"So","mappings":{"default":{"default":"white vertical ellipse"}},"key":"2B2F"},{"category":"So","mappings":{"default":{"default":"white medium star"}},"key":"2B50"},{"category":"So","mappings":{"default":{"default":"black small star"}},"key":"2B51"},{"category":"So","mappings":{"default":{"default":"white small star"}},"key":"2B52"},{"category":"So","mappings":{"default":{"default":"black right pointing pentagon"}},"key":"2B53"},{"category":"So","mappings":{"default":{"default":"white right pointing pentagon"}},"key":"2B54"},{"category":"So","mappings":{"default":{"default":"heavy large circle"}},"key":"2B55"},{"category":"So","mappings":{"default":{"default":"heavy oval with oval inside"}},"key":"2B56"},{"category":"So","mappings":{"default":{"default":"heavy circle with circle inside"}},"key":"2B57"},{"category":"So","mappings":{"default":{"default":"heavy circle"}},"key":"2B58"},{"category":"So","mappings":{"default":{"default":"heavy circled saltire"}},"key":"2B59"}]
+"en/symbols/math_non_characters.js": 
+[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"italic h over two pi","physics":"planck constant over two pi"}},"key":"210F"},{"category":"So","mappings":{"default":{"default":"l b bar"}},"key":"2114"},{"category":"So","mappings":{"default":{"default":"numero"}},"key":"2116"},{"category":"So","mappings":{"default":{"default":"sound recording copyright"}},"key":"2117"},{"category":"So","mappings":{"default":{"default":"prescription take"}},"key":"211E"},{"category":"So","mappings":{"default":{"default":"response"}},"key":"211F"},{"category":"So","mappings":{"default":{"default":"service mark"}},"key":"2120"},{"category":"So","mappings":{"default":{"default":"telephone sign","alternative":"t e l symbol"}},"key":"2121"},{"category":"So","mappings":{"default":{"default":"trade mark"}},"key":"2122"},{"category":"So","mappings":{"default":{"default":"versicle"}},"key":"2123"},{"category":"So","mappings":{"default":{"default":"ounce"}},"key":"2125"},{"category":"Lu","mappings":{"default":{"default":"ohm"}},"key":"2126"},{"category":"So","mappings":{"default":{"default":"inverted ohm"}},"key":"2127"},{"category":"Lu","mappings":{"default":{"default":"kelvin"}},"key":"212A"},{"category":"Lu","mappings":{"default":{"default":"angstrom"}},"key":"212B"},{"category":"So","mappings":{"default":{"default":"estimated"}},"key":"212E"},{"category":"Lu","mappings":{"default":{"default":"turned cap F"},"mathspeak":{"default":"turned upper F"}},"key":"2132"},{"category":"Ll","mappings":{"default":{"default":"information source"}},"key":"2139"},{"category":"So","mappings":{"default":{"default":"rotated cap Q"},"mathspeak":{"default":"rotated upper Q"}},"key":"213A"},{"category":"So","mappings":{"default":{"default":"facsimile sign"}},"key":"213B"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif cap G"},"mathspeak":{"default":"turned sans serif upper G"}},"key":"2141"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif cap L"},"mathspeak":{"default":"turned sans serif upper L"}},"key":"2142"},{"category":"Sm","mappings":{"default":{"default":"reversed sans serif cap L"},"mathspeak":{"default":"reversed sans serif upper L"}},"key":"2143"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif cap Y"},"mathspeak":{"default":"turned sans serif upper Y"}},"key":"2144"}]
 ,
-"en/math_harpoons.js": 
-[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"leftwards harpoon with barb upwards","short":"left harpoon with barb up"}},"key":"21BC"},{"category":"So","mappings":{"default":{"default":"leftwards harpoon with barb downwards","short":"left harpoon with barb down"}},"key":"21BD"},{"category":"So","mappings":{"default":{"default":"upwards harpoon with barb rightwards","short":"up harpoon with barb right"}},"key":"21BE"},{"category":"So","mappings":{"default":{"default":"upwards harpoon with barb leftwards","short":"up harpoon with barb left"}},"key":"21BF"},{"category":"So","mappings":{"default":{"default":"rightwards harpoon with barb upwards","short":"right harpoon with barb up"}},"key":"21C0"},{"category":"So","mappings":{"default":{"default":"rightwards harpoon with barb downwards","short":"right harpoon with barb down"}},"key":"21C1"},{"category":"So","mappings":{"default":{"default":"downwards harpoon with barb rightwards","short":"down harpoon with barb right"}},"key":"21C2"},{"category":"So","mappings":{"default":{"default":"downwards harpoon with barb leftwards","short":"down harpoon with barb left"}},"key":"21C3"},{"category":"So","mappings":{"default":{"default":"leftwards harpoon over rightwards harpoon","short":"left harpoon over right harpoon"}},"key":"21CB"},{"category":"So","mappings":{"default":{"default":"rightwards harpoon over leftwards harpoon","short":"right harpoon over left harpoon"}},"key":"21CC"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb down harpoon"}},"key":"294A"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb up harpoon"}},"key":"294B"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb left harpoon"}},"key":"294C"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb right harpoon"}},"key":"294D"},{"category":"Sm","mappings":{"default":{"default":"left barb up right barb up harpoon"}},"key":"294E"},{"category":"Sm","mappings":{"default":{"default":"up barb right down barb right harpoon"}},"key":"294F"},{"category":"Sm","mappings":{"default":{"default":"left barb down right barb down harpoon"}},"key":"2950"},{"category":"Sm","mappings":{"default":{"default":"up barb left down barb left harpoon"}},"key":"2951"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up to bar","short":"left harpoon with barb up to bar"}},"key":"2952"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up to bar","short":"right harpoon with barb up to bar"}},"key":"2953"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb right to bar","short":"up harpoon with barb right to bar"}},"key":"2954"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb right to bar","short":"down harpoon with barb right to bar"}},"key":"2955"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down to bar","short":"left harpoon with barb down to bar"}},"key":"2956"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down to bar","short":"right harpoon with barb down to bar"}},"key":"2957"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left to bar","short":"up harpoon with barb left to bar"}},"key":"2958"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left to bar","short":"down harpoon with barb left to bar"}},"key":"2959"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up from bar","short":"left harpoon with barb up from bar"}},"key":"295A"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up from bar","short":"right harpoon with barb up from bar"}},"key":"295B"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb right from bar","short":"up harpoon with barb right from bar"}},"key":"295C"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb right from bar","short":"down harpoon with barb right from bar"}},"key":"295D"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down from bar","short":"left harpoon with barb down from bar"}},"key":"295E"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down from bar","short":"right harpoon with barb down from bar"}},"key":"295F"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left from bar","short":"up harpoon with barb left from bar"}},"key":"2960"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left from bar","short":"down harpoon with barb left from bar"}},"key":"2961"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up above leftwards harpoon with barb down","short":"left harpoon with barb up above left harpoon with barb down"}},"key":"2962"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left beside upwards harpoon with barb right","short":"up harpoon with barb left beside up harpoon with barb right"}},"key":"2963"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up above rightwards harpoon with barb down","short":"right harpoon with barb up above right harpoon with barb down"}},"key":"2964"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left beside downwards harpoon with barb right","short":"down harpoon with barb left beside down harpoon with barb right"}},"key":"2965"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up above rightwards harpoon with barb up","short":"left harpoon with barb up above right harpoon with barb up"}},"key":"2966"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down above rightwards harpoon with barb down","short":"left harpoon with barb down above right harpoon with barb down"}},"key":"2967"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up above leftwards harpoon with barb up","short":"right harpoon with barb up above left harpoon with barb up"}},"key":"2968"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down above leftwards harpoon with barb down","short":"right harpoon with barb down above left harpoon with barb down"}},"key":"2969"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb up above long dash","short":"left harpoon with barb up above long dash"}},"key":"296A"},{"category":"Sm","mappings":{"default":{"default":"leftwards harpoon with barb down below long dash","short":"left harpoon with barb down below long dash"}},"key":"296B"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb up above long dash","short":"right harpoon with barb up above long dash"}},"key":"296C"},{"category":"Sm","mappings":{"default":{"default":"rightwards harpoon with barb down below long dash","short":"right harpoon with barb down below long dash"}},"key":"296D"},{"category":"Sm","mappings":{"default":{"default":"upwards harpoon with barb left beside downwards harpoon with barb right","short":"up harpoon with barb left beside down harpoon with barb right"}},"key":"296E"},{"category":"Sm","mappings":{"default":{"default":"downwards harpoon with barb left beside upwards harpoon with barb right","short":"down harpoon with barb left beside up harpoon with barb right"}},"key":"296F"},{"category":"Sm","mappings":{"default":{"default":"left fish tail"}},"key":"297C"},{"category":"Sm","mappings":{"default":{"default":"right fish tail"}},"key":"297D"},{"category":"Sm","mappings":{"default":{"default":"up fish tail"}},"key":"297E"},{"category":"Sm","mappings":{"default":{"default":"down fish tail"}},"key":"297F"}]
+"en/symbols/math_symbols.js": 
+[{"locale":"en"},{"category":"Po","mappings":{"default":{"default":"exclamation mark"}},"key":"0021"},{"category":"Po","mappings":{"default":{"default":"quotation mark"}},"key":"0022"},{"category":"Po","mappings":{"default":{"default":"number sign","alternative":"hash"},"mathspeak":{"brief":"num sign","sbrief":"num sign"}},"key":"0023"},{"category":"Sc","mappings":{"default":{"default":"dollar sign"}},"key":"0024"},{"category":"Po","mappings":{"default":{"default":"percent sign"}},"key":"0025"},{"category":"Po","mappings":{"default":{"default":"ampersand"}},"key":"0026"},{"category":"Po","mappings":{"default":{"default":"prime"}},"key":"0027"},{"category":"Po","mappings":{"default":{"default":"asterisk"}},"key":"002A"},{"category":"Sm","mappings":{"default":{"default":"plus"}},"key":"002B"},{"category":"Po","mappings":{"default":{"default":"comma"}},"key":"002C"},{"category":"Pd","mappings":{"default":{"default":"minus"},"mathspeak":{"default":"hyphen"}},"key":"002D"},{"category":"Po","mappings":{"default":{"default":"period"}},"key":"002E"},{"category":"Po","mappings":{"default":{"default":"slash","alternative":"solidus"},"emacspeak":{"default":"slash"}},"key":"002F"},{"category":"Po","mappings":{"default":{"default":"colon"}},"key":"003A"},{"category":"Po","mappings":{"default":{"default":"semicolon"}},"key":"003B"},{"category":"Sm","mappings":{"default":{"default":"less than"},"clearspeak":{"default":"is less than"}},"key":"003C"},{"category":"Sm","mappings":{"default":{"default":"equals"}},"key":"003D"},{"category":"Sm","mappings":{"default":{"default":"greater than"},"clearspeak":{"default":"is greater than"}},"key":"003E"},{"category":"Po","mappings":{"default":{"default":"question mark"}},"key":"003F"},{"category":"Po","mappings":{"default":{"default":"at"}},"key":"0040"},{"category":"Po","mappings":{"default":{"default":"backslash"}},"key":"005C"},{"category":"Sk","mappings":{"default":{"default":"hat"},"mathspeak":{"default":"caret"}},"key":"005E"},{"category":"Pc","mappings":{"default":{"default":"bar","alternative":"underline"}},"key":"005F"},{"category":"Sk","mappings":{"default":{"default":"grave"},"mathspeak":{"default":"grave"}},"key":"0060"},{"category":"Sm","mappings":{"default":{"default":"vertical bar"},"clearspeak":{"default":"divides"}},"key":"007C"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"007E"},{"category":"Po","mappings":{"default":{"default":"inverted exclamation mark"}},"key":"00A1"},{"category":"Sc","mappings":{"default":{"default":"cent sign"}},"key":"00A2"},{"category":"Sc","mappings":{"default":{"default":"pound sign"}},"key":"00A3"},{"category":"Sc","mappings":{"default":{"default":"currency sign"}},"key":"00A4"},{"category":"Sc","mappings":{"default":{"default":"yen sign"}},"key":"00A5"},{"category":"So","mappings":{"default":{"default":"broken vertical bar"}},"key":"00A6"},{"category":"Po","mappings":{"default":{"default":"section sign"}},"key":"00A7"},{"category":"Sk","mappings":{"default":{"default":"two dots"}},"key":"00A8"},{"category":"So","mappings":{"default":{"default":"copyright sign"}},"key":"00A9"},{"category":"Lo","mappings":{"default":{"default":"feminine ordinal indicator"}},"key":"00AA"},{"category":"Pi","mappings":{"default":{"default":"left pointing guillemet"}},"key":"00AB"},{"category":"Sm","mappings":{"default":{"default":"not sign"}},"key":"00AC"},{"category":"So","mappings":{"default":{"default":"registered sign"},"mathspeak":{"default":"registered trade mark sign"},"clearspeak":{"default":"trade mark sign"}},"key":"00AE"},{"category":"Sk","mappings":{"default":{"default":"bar"}},"key":"00AF"},{"category":"So","mappings":{"default":{"default":"degree"},"clearspeak":{"default":"degrees"}},"key":"00B0"},{"category":"Sm","mappings":{"default":{"default":"plus or minus"}},"key":"00B1"},{"category":"Sk","mappings":{"default":{"default":"acute"}},"key":"00B4"},{"category":"Ll","mappings":{"default":{"default":"micro sign"}},"key":"00B5"},{"category":"Po","mappings":{"default":{"default":"paragraph sign"}},"key":"00B6"},{"category":"Po","mappings":{"default":{"default":"dot"},"clearspeak":{"default":"times"}},"key":"00B7"},{"category":"Sk","mappings":{"default":{"default":"cedilla"}},"key":"00B8"},{"category":"Lo","mappings":{"default":{"default":"masculine ordinal indicator"}},"key":"00BA"},{"category":"Pf","mappings":{"default":{"default":"right pointing guillemet"}},"key":"00BB"},{"category":"Po","mappings":{"default":{"default":"inverted question mark"}},"key":"00BF"},{"category":"Sm","mappings":{"default":{"default":"times"},"clearspeak":{"MultsymbolX_By":"by","MultsymbolX_Cross":"cross"}},"key":"00D7"},{"category":"Sm","mappings":{"default":{"default":"division sign"}},"key":"00F7"},{"category":"Sk","mappings":{"default":{"default":"breve"}},"key":"02D8"},{"category":"Sk","mappings":{"default":{"default":"dot above"},"mathspeak":{"default":"dot"}},"key":"02D9"},{"category":"Sk","mappings":{"default":{"default":"ring above"}},"key":"02DA"},{"category":"Sk","mappings":{"default":{"default":"ogonek"}},"key":"02DB"},{"category":"Sk","mappings":{"default":{"default":"tilde"}},"key":"02DC"},{"category":"Sk","mappings":{"default":{"default":"double acute"}},"key":"02DD"},{"category":"Pd","mappings":{"default":{"default":"hyphen"}},"key":"2010"},{"category":"Pd","mappings":{"default":{"default":"non breaking hyphen"}},"key":"2011"},{"category":"Pd","mappings":{"default":{"default":"figure dash"}},"key":"2012"},{"category":"Pd","mappings":{"default":{"default":"en dash"}},"key":"2013"},{"category":"Pd","mappings":{"default":{"default":"em dash"}},"key":"2014"},{"category":"Pd","mappings":{"default":{"default":"horizontal bar"},"mathspeak":{"default":"quotation dash"}},"key":"2015"},{"category":"Po","mappings":{"default":{"default":"double vertical bar"}},"key":"2016"},{"category":"Po","mappings":{"default":{"default":"double underline"}},"key":"2017"},{"category":"Pi","mappings":{"default":{"default":"left single quotation mark"}},"key":"2018"},{"category":"Pf","mappings":{"default":{"default":"right single quotation mark"}},"key":"2019"},{"category":"Ps","mappings":{"default":{"default":"low right single quotation mark"}},"key":"201A"},{"category":"Pi","mappings":{"default":{"default":"left reversed single quotation mark"}},"key":"201B"},{"category":"Pi","mappings":{"default":{"default":"left double quotation mark"}},"key":"201C"},{"category":"Pf","mappings":{"default":{"default":"right double quotation mark"}},"key":"201D"},{"category":"Ps","mappings":{"default":{"default":"low right double quotation mark"}},"key":"201E"},{"category":"Pi","mappings":{"default":{"default":"left reversed double quotation mark"}},"key":"201F"},{"category":"Po","mappings":{"default":{"default":"dagger"}},"key":"2020"},{"category":"Po","mappings":{"default":{"default":"double dagger"}},"key":"2021"},{"category":"Po","mappings":{"default":{"default":"bullet"}},"key":"2022"},{"category":"Po","mappings":{"default":{"default":"triangular bullet"}},"key":"2023"},{"category":"Po","mappings":{"default":{"default":"one dot leader"}},"key":"2024"},{"category":"Po","mappings":{"default":{"default":"two dot leader"}},"key":"2025"},{"category":"Po","mappings":{"default":{"default":"ellipsis"},"clearspeak":{"default":"dot dot dot"}},"key":"2026"},{"category":"Po","mappings":{"default":{"default":"hyphenation point"}},"key":"2027"},{"category":"Po","mappings":{"default":{"default":"per mille"}},"key":"2030"},{"category":"Po","mappings":{"default":{"default":"per ten thousand"}},"key":"2031"},{"category":"Po","mappings":{"default":{"default":"prime"}},"key":"2032"},{"category":"Po","mappings":{"default":{"default":"double prime"}},"key":"2033"},{"category":"Po","mappings":{"default":{"default":"triple prime"}},"key":"2034"},{"category":"Po","mappings":{"default":{"default":"reversed prime"}},"key":"2035"},{"category":"Po","mappings":{"default":{"default":"reversed double prime"}},"key":"2036"},{"category":"Po","mappings":{"default":{"default":"reversed triple prime"}},"key":"2037"},{"category":"Po","mappings":{"default":{"default":"caret"}},"key":"2038"},{"category":"Pi","mappings":{"default":{"default":"left pointing single guillemet"}},"key":"2039"},{"category":"Pf","mappings":{"default":{"default":"right pointing single guillemet"}},"key":"203A"},{"category":"Po","mappings":{"default":{"default":"reference mark"}},"key":"203B"},{"category":"Po","mappings":{"default":{"default":"double exclamation mark"}},"key":"203C"},{"category":"Po","mappings":{"default":{"default":"interrobang"}},"key":"203D"},{"category":"Po","mappings":{"default":{"default":"overline"},"mathspeak":{"default":"bar"}},"key":"203E"},{"category":"Pc","mappings":{"default":{"default":"undertie"}},"key":"203F"},{"category":"Pc","mappings":{"default":{"default":"character tie"}},"key":"2040"},{"category":"Po","mappings":{"default":{"default":"caret insertion point"}},"key":"2041"},{"category":"Po","mappings":{"default":{"default":"asterism"}},"key":"2042"},{"category":"Po","mappings":{"default":{"default":"hyphen bullet"}},"key":"2043"},{"category":"Sm","mappings":{"default":{"default":"fraction slash"}},"key":"2044"},{"category":"Po","mappings":{"default":{"default":"double question mark"}},"key":"2047"},{"category":"Po","mappings":{"default":{"default":"question exclamation mark"}},"key":"2048"},{"category":"Po","mappings":{"default":{"default":"exclamation question mark"}},"key":"2049"},{"category":"Po","mappings":{"default":{"default":"reversed pilcrow"}},"key":"204B"},{"category":"Po","mappings":{"default":{"default":"black leftwards bullet"}},"key":"204C"},{"category":"Po","mappings":{"default":{"default":"black rightwards bullet"}},"key":"204D"},{"category":"Po","mappings":{"default":{"default":"low asterisk"}},"key":"204E"},{"category":"Po","mappings":{"default":{"default":"reversed semicolon"}},"key":"204F"},{"category":"Po","mappings":{"default":{"default":"close up"}},"key":"2050"},{"category":"Po","mappings":{"default":{"default":"two asterisks aligned vertically"}},"key":"2051"},{"category":"Sm","mappings":{"default":{"default":"commercial minus"}},"key":"2052"},{"category":"Po","mappings":{"default":{"default":"swung dash"}},"key":"2053"},{"category":"Pc","mappings":{"default":{"default":"inverted undertie"}},"key":"2054"},{"category":"Po","mappings":{"default":{"default":"flower punctuation mark"}},"key":"2055"},{"category":"Po","mappings":{"default":{"default":"three dot punctuation"}},"key":"2056"},{"category":"Po","mappings":{"default":{"default":"quadruple prime"}},"key":"2057"},{"category":"Po","mappings":{"default":{"default":"four dot punctuation"}},"key":"2058"},{"category":"Po","mappings":{"default":{"default":"five dot punctuation"}},"key":"2059"},{"category":"Po","mappings":{"default":{"default":"two dot punctuation"}},"key":"205A"},{"category":"Po","mappings":{"default":{"default":"four dot mark"}},"key":"205B"},{"category":"Po","mappings":{"default":{"default":"dotted cross"}},"key":"205C"},{"category":"Po","mappings":{"default":{"default":"tricolon"}},"key":"205D"},{"category":"Po","mappings":{"default":{"default":"vertical four dots"}},"key":"205E"},{"category":"Sm","mappings":{"default":{"default":"superscript plus"}},"key":"207A"},{"category":"Sm","mappings":{"default":{"default":"superscript minus"}},"key":"207B"},{"category":"Sm","mappings":{"default":{"default":"superscript equals"}},"key":"207C"},{"category":"Ps","mappings":{"default":{"default":"superscript left parenthesis"}},"key":"207D"},{"category":"Pe","mappings":{"default":{"default":"superscript right parenthesis"}},"key":"207E"},{"category":"Sm","mappings":{"default":{"default":"subscript plus"}},"key":"208A"},{"category":"Sm","mappings":{"default":{"default":"subscript minus"}},"key":"208B"},{"category":"Sm","mappings":{"default":{"default":"subscript equals"}},"key":"208C"},{"category":"Ps","mappings":{"default":{"default":"subscript left parenthesis"}},"key":"208D"},{"category":"Pe","mappings":{"default":{"default":"subscript right parenthesis"}},"key":"208E"},{"category":"So","mappings":{"default":{"default":"property line"}},"key":"214A"},{"category":"Sm","mappings":{"default":{"default":"turned ampersand"}},"key":"214B"},{"category":"So","mappings":{"default":{"default":"per"}},"key":"214C"},{"category":"So","mappings":{"default":{"default":"aktieselskab"}},"key":"214D"},{"category":"Ll","mappings":{"default":{"default":"turned small f"}},"key":"214E"},{"category":"Sm","mappings":{"default":{"default":"for all"}},"key":"2200"},{"category":"Sm","mappings":{"default":{"default":"complement"}},"key":"2201"},{"category":"Sm","mappings":{"default":{"default":"there exists"}},"key":"2203"},{"category":"Sm","mappings":{"default":{"default":"there does not exist"}},"key":"2204"},{"category":"Sm","mappings":{"default":{"default":"empty set"}},"key":"2205"},{"category":"Sm","mappings":{"default":{"default":"increment"}},"key":"2206"},{"category":"Sm","mappings":{"default":{"default":"element of"},"clearspeak":{"default":"is a member of","SetMemberSymbol_Member":"is a member of","SetMemberSymbol_Element":"is an element of","SetMemberSymbol_In":"is in","SetMemberSymbol_Belongs":"belongs to"}},"key":"2208"},{"category":"Sm","mappings":{"default":{"default":"not an element of"},"clearspeak":{"default":"is not a member of","SetMemberSymbol_Member":"is not a member of","SetMemberSymbol_Element":"is not an element of","SetMemberSymbol_In":"is not in","SetMemberSymbol_Belongs":"does not belong to"}},"key":"2209"},{"category":"Sm","mappings":{"default":{"default":"small element of"},"clearspeak":{"default":"is a member of","SetMemberSymbol_Member":"is a member of","SetMemberSymbol_Element":"is an element of","SetMemberSymbol_In":"is in","SetMemberSymbol_Belongs":"belongs to"}},"key":"220A"},{"category":"Sm","mappings":{"default":{"default":"contains as member"}},"key":"220B"},{"category":"Sm","mappings":{"default":{"default":"does not contain as member"}},"key":"220C"},{"category":"Sm","mappings":{"default":{"default":"small contains as member"}},"key":"220D"},{"category":"Sm","mappings":{"default":{"default":"end of proof"}},"key":"220E"},{"category":"Sm","mappings":{"default":{"default":"product"}},"key":"220F"},{"category":"Sm","mappings":{"default":{"default":"coproduct"}},"key":"2210"},{"category":"Sm","mappings":{"default":{"default":"sum"},"mathspeak":{"default":"sigma summation"}},"key":"2211"},{"category":"Sm","mappings":{"default":{"default":"minus"}},"key":"2212"},{"category":"Sm","mappings":{"default":{"default":"minus or plus"}},"key":"2213"},{"category":"Sm","mappings":{"default":{"default":"dot plus"}},"key":"2214"},{"category":"Sm","mappings":{"default":{"default":"division slash"}},"key":"2215"},{"category":"Sm","mappings":{"default":{"default":"set minus"}},"key":"2216"},{"category":"Sm","mappings":{"default":{"default":"asterisk"}},"key":"2217"},{"category":"Sm","mappings":{"default":{"default":"ring"},"clearspeak":{"default":"composed with"}},"key":"2218"},{"category":"Sm","mappings":{"default":{"default":"bullet"}},"key":"2219"},{"category":"Sm","mappings":{"default":{"default":"square root"}},"key":"221A"},{"category":"Sm","mappings":{"default":{"default":"cube root"}},"key":"221B"},{"category":"Sm","mappings":{"default":{"default":"fourth root"}},"key":"221C"},{"category":"Sm","mappings":{"default":{"default":"proportional to"}},"key":"221D"},{"category":"Sm","mappings":{"default":{"default":"infinity"}},"key":"221E"},{"category":"Sm","mappings":{"default":{"default":"right angle"}},"key":"221F"},{"category":"Sm","mappings":{"default":{"default":"angle"}},"key":"2220"},{"category":"Sm","mappings":{"default":{"default":"measured angle"}},"key":"2221"},{"category":"Sm","mappings":{"default":{"default":"spherical angle"}},"key":"2222"},{"category":"Sm","mappings":{"default":{"default":"bar","alternative":"divides"}},"key":"2223"},{"category":"Sm","mappings":{"default":{"default":"does not divide"}},"key":"2224"},{"category":"Sm","mappings":{"default":{"default":"parallel to"}},"key":"2225"},{"category":"Sm","mappings":{"default":{"default":"not parallel to"}},"key":"2226"},{"category":"Sm","mappings":{"default":{"default":"and"}},"key":"2227"},{"category":"Sm","mappings":{"default":{"default":"or"}},"key":"2228"},{"category":"Sm","mappings":{"default":{"default":"intersection"}},"key":"2229"},{"category":"Sm","mappings":{"default":{"default":"union"}},"key":"222A"},{"category":"Sm","mappings":{"default":{"default":"integral"}},"key":"222B"},{"category":"Sm","mappings":{"default":{"default":"double integral"}},"key":"222C"},{"category":"Sm","mappings":{"default":{"default":"triple integral"}},"key":"222D"},{"category":"Sm","mappings":{"default":{"default":"contour integral"}},"key":"222E"},{"category":"Sm","mappings":{"default":{"default":"surface integral"}},"key":"222F"},{"category":"Sm","mappings":{"default":{"default":"volume integral"}},"key":"2230"},{"category":"Sm","mappings":{"default":{"default":"clockwise integral"}},"key":"2231"},{"category":"Sm","mappings":{"default":{"default":"clockwise contour integral"}},"key":"2232"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise contour integral"}},"key":"2233"},{"category":"Sm","mappings":{"default":{"default":"therefore"}},"key":"2234"},{"category":"Sm","mappings":{"default":{"default":"because"}},"key":"2235"},{"category":"Sm","mappings":{"default":{"default":"ratio"}},"key":"2236"},{"category":"Sm","mappings":{"default":{"default":"proportion"}},"key":"2237"},{"category":"Sm","mappings":{"default":{"default":"dot minus"}},"key":"2238"},{"category":"Sm","mappings":{"default":{"default":"excess"}},"key":"2239"},{"category":"Sm","mappings":{"default":{"default":"geometric proportion"}},"key":"223A"},{"category":"Sm","mappings":{"default":{"default":"homothetic"}},"key":"223B"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"223C"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde"}},"key":"223D"},{"category":"Sm","mappings":{"default":{"default":"inverted lazy s"}},"key":"223E"},{"category":"Sm","mappings":{"default":{"default":"sine wave"}},"key":"223F"},{"category":"Sm","mappings":{"default":{"default":"wreath product"}},"key":"2240"},{"category":"Sm","mappings":{"default":{"default":"not tilde"}},"key":"2241"},{"category":"Sm","mappings":{"default":{"default":"minus tilde"}},"key":"2242"},{"category":"Sm","mappings":{"default":{"default":"asymptotically equals"}},"key":"2243"},{"category":"Sm","mappings":{"default":{"default":"not asymptotically equals"}},"key":"2244"},{"category":"Sm","mappings":{"default":{"default":"approximately equals"}},"key":"2245"},{"category":"Sm","mappings":{"default":{"default":"approximately but not actually equals"}},"key":"2246"},{"category":"Sm","mappings":{"default":{"default":"neither approximately nor actually equals"}},"key":"2247"},{"category":"Sm","mappings":{"default":{"default":"almost equals"}},"key":"2248"},{"category":"Sm","mappings":{"default":{"default":"not almost equals"}},"key":"2249"},{"category":"Sm","mappings":{"default":{"default":"almost equal or equals"}},"key":"224A"},{"category":"Sm","mappings":{"default":{"default":"triple tilde"}},"key":"224B"},{"category":"Sm","mappings":{"default":{"default":"all equals"}},"key":"224C"},{"category":"Sm","mappings":{"default":{"default":"equivalent to"}},"key":"224D"},{"category":"Sm","mappings":{"default":{"default":"geometrically equivalent to"}},"key":"224E"},{"category":"Sm","mappings":{"default":{"default":"difference between"}},"key":"224F"},{"category":"Sm","mappings":{"default":{"default":"approaches the limit"}},"key":"2250"},{"category":"Sm","mappings":{"default":{"default":"geometrically equals"}},"key":"2251"},{"category":"Sm","mappings":{"default":{"default":"approximately equals or the image of"}},"key":"2252"},{"category":"Sm","mappings":{"default":{"default":"image of or approximately equals"}},"key":"2253"},{"category":"Sm","mappings":{"default":{"default":"colon equals"}},"key":"2254"},{"category":"Sm","mappings":{"default":{"default":"equals colon"}},"key":"2255"},{"category":"Sm","mappings":{"default":{"default":"ring in equals"}},"key":"2256"},{"category":"Sm","mappings":{"default":{"default":"ring equals"}},"key":"2257"},{"category":"Sm","mappings":{"default":{"default":"corresponds to"}},"key":"2258"},{"category":"Sm","mappings":{"default":{"default":"estimates"}},"key":"2259"},{"category":"Sm","mappings":{"default":{"default":"equiangular to"},"clearspeak":{"default":"is equiangular to"}},"key":"225A"},{"category":"Sm","mappings":{"default":{"default":"star equals"}},"key":"225B"},{"category":"Sm","mappings":{"default":{"default":"delta equals"}},"key":"225C"},{"category":"Sm","mappings":{"default":{"default":"equals by definition"},"clearspeak":{"default":"is defined to be"}},"key":"225D"},{"category":"Sm","mappings":{"default":{"default":"measured by"},"clearspeak":{"default":"is measured by"}},"key":"225E"},{"category":"Sm","mappings":{"default":{"default":"questioned equals"}},"key":"225F"},{"category":"Sm","mappings":{"default":{"default":"not equals"},"clearspeak":{"default":"is not equal to"}},"key":"2260"},{"category":"Sm","mappings":{"default":{"default":"identical to"},"clearspeak":{"default":"is identical to"}},"key":"2261"},{"category":"Sm","mappings":{"default":{"default":"not identical to"},"clearspeak":{"default":"is not identical to"}},"key":"2262"},{"category":"Sm","mappings":{"default":{"default":"strictly equivalent to"},"clearspeak":{"default":"is strictly equivalent to"}},"key":"2263"},{"category":"Sm","mappings":{"default":{"default":"less than or equals"},"clearspeak":{"default":"is less than or equal to"}},"key":"2264"},{"category":"Sm","mappings":{"default":{"default":"greater than or equals"},"clearspeak":{"default":"is greater than or equal to"}},"key":"2265"},{"category":"Sm","mappings":{"default":{"default":"less than over equals"},"clearspeak":{"default":"is less than over equals"}},"key":"2266"},{"category":"Sm","mappings":{"default":{"default":"greater than over equals"},"clearspeak":{"default":"is greater than over equals"}},"key":"2267"},{"category":"Sm","mappings":{"default":{"default":"less than but not equals"},"clearspeak":{"default":"is less than but not equal to"}},"key":"2268"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equals"},"clearspeak":{"default":"is greater than but not equal to"}},"key":"2269"},{"category":"Sm","mappings":{"default":{"default":"much less than"},"clearspeak":{"default":"is much less than"}},"key":"226A"},{"category":"Sm","mappings":{"default":{"default":"much greater than"},"clearspeak":{"default":"is much greater than"}},"key":"226B"},{"category":"Sm","mappings":{"default":{"default":"between"}},"key":"226C"},{"category":"Sm","mappings":{"default":{"default":"not equivalent to"},"clearspeak":{"default":"is not equivalent to"}},"key":"226D"},{"category":"Sm","mappings":{"default":{"default":"not less than"},"clearspeak":{"default":"is not less than"}},"key":"226E"},{"category":"Sm","mappings":{"default":{"default":"not greater than"},"clearspeak":{"default":"is not greater than"}},"key":"226F"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equals"},"clearspeak":{"default":"is neither less than nor equal to"}},"key":"2270"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equals"},"clearspeak":{"default":"is neither greater than nor equal to"}},"key":"2271"},{"category":"Sm","mappings":{"default":{"default":"less than or equivalent to"},"clearspeak":{"default":"is less than or equivalent to"}},"key":"2272"},{"category":"Sm","mappings":{"default":{"default":"greater than or equivalent to"},"clearspeak":{"default":"is greater than or equivalent to"}},"key":"2273"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equivalent to"},"clearspeak":{"default":"is neither less than nor equivalent to"}},"key":"2274"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equivalent to"},"clearspeak":{"default":"is neither greater than nor equivalent to"}},"key":"2275"},{"category":"Sm","mappings":{"default":{"default":"less than or greater than"},"clearspeak":{"default":"is less than or greater than"}},"key":"2276"},{"category":"Sm","mappings":{"default":{"default":"greater than or less than"},"clearspeak":{"default":"is greater than or less than"}},"key":"2277"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor greater than"},"clearspeak":{"default":"is neither less than nor greater than"}},"key":"2278"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor less than"},"clearspeak":{"default":"is neither greater than nor less than"}},"key":"2279"},{"category":"Sm","mappings":{"default":{"default":"precedes"}},"key":"227A"},{"category":"Sm","mappings":{"default":{"default":"succeeds"}},"key":"227B"},{"category":"Sm","mappings":{"default":{"default":"precedes or equal to"}},"key":"227C"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equal to"}},"key":"227D"},{"category":"Sm","mappings":{"default":{"default":"precedes or equivalent to"}},"key":"227E"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equivalent to"}},"key":"227F"},{"category":"Sm","mappings":{"default":{"default":"does not precede"}},"key":"2280"},{"category":"Sm","mappings":{"default":{"default":"does not succeed"}},"key":"2281"},{"category":"Sm","mappings":{"default":{"default":"subset of"}},"key":"2282"},{"category":"Sm","mappings":{"default":{"default":"superset of"}},"key":"2283"},{"category":"Sm","mappings":{"default":{"default":"not a subset of"}},"key":"2284"},{"category":"Sm","mappings":{"default":{"default":"not a superset of"}},"key":"2285"},{"category":"Sm","mappings":{"default":{"default":"subset of or equal to"}},"key":"2286"},{"category":"Sm","mappings":{"default":{"default":"superset of or equal to"}},"key":"2287"},{"category":"Sm","mappings":{"default":{"default":"neither a subset of nor equal to"}},"key":"2288"},{"category":"Sm","mappings":{"default":{"default":"neither a superset of nor equal to"}},"key":"2289"},{"category":"Sm","mappings":{"default":{"default":"subset of or not equals"}},"key":"228A"},{"category":"Sm","mappings":{"default":{"default":"superset of or not equals"}},"key":"228B"},{"category":"Sm","mappings":{"default":{"default":"multiset"}},"key":"228C"},{"category":"Sm","mappings":{"default":{"default":"multiset multiplication"}},"key":"228D"},{"category":"Sm","mappings":{"default":{"default":"multiset union"}},"key":"228E"},{"category":"Sm","mappings":{"default":{"default":"square image of"}},"key":"228F"},{"category":"Sm","mappings":{"default":{"default":"square original of"}},"key":"2290"},{"category":"Sm","mappings":{"default":{"default":"square image of or equal to"}},"key":"2291"},{"category":"Sm","mappings":{"default":{"default":"square original of or equal to"}},"key":"2292"},{"category":"Sm","mappings":{"default":{"default":"square cap"}},"key":"2293"},{"category":"Sm","mappings":{"default":{"default":"square cup"}},"key":"2294"},{"category":"Sm","mappings":{"default":{"default":"circled plus"}},"key":"2295"},{"category":"Sm","mappings":{"default":{"default":"circled minus"}},"key":"2296"},{"category":"Sm","mappings":{"default":{"default":"circled times"}},"key":"2297"},{"category":"Sm","mappings":{"default":{"default":"circled division slash"}},"key":"2298"},{"category":"Sm","mappings":{"default":{"default":"circled dot"}},"key":"2299"},{"category":"Sm","mappings":{"default":{"default":"circled ring"}},"key":"229A"},{"category":"Sm","mappings":{"default":{"default":"circled asterisk"}},"key":"229B"},{"category":"Sm","mappings":{"default":{"default":"circled equals"}},"key":"229C"},{"category":"Sm","mappings":{"default":{"default":"circled dash"}},"key":"229D"},{"category":"Sm","mappings":{"default":{"default":"squared plus"}},"key":"229E"},{"category":"Sm","mappings":{"default":{"default":"squared minus"}},"key":"229F"},{"category":"Sm","mappings":{"default":{"default":"squared times"}},"key":"22A0"},{"category":"Sm","mappings":{"default":{"default":"squared dot"}},"key":"22A1"},{"category":"Sm","mappings":{"default":{"default":"right tack"}},"key":"22A2"},{"category":"Sm","mappings":{"default":{"default":"left tack"}},"key":"22A3"},{"category":"Sm","mappings":{"default":{"default":"down tack"}},"key":"22A4"},{"category":"Sm","mappings":{"default":{"default":"up tack"}},"key":"22A5"},{"category":"Sm","mappings":{"default":{"default":"assertion"}},"key":"22A6"},{"category":"Sm","mappings":{"default":{"default":"models"}},"key":"22A7"},{"category":"Sm","mappings":{"default":{"default":"true"}},"key":"22A8"},{"category":"Sm","mappings":{"default":{"default":"forces"}},"key":"22A9"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar right turnstile"}},"key":"22AA"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double right turnstile"}},"key":"22AB"},{"category":"Sm","mappings":{"default":{"default":"does not prove"}},"key":"22AC"},{"category":"Sm","mappings":{"default":{"default":"not true"}},"key":"22AD"},{"category":"Sm","mappings":{"default":{"default":"does not force"}},"key":"22AE"},{"category":"Sm","mappings":{"default":{"default":"negated double vertical bar double right turnstile"}},"key":"22AF"},{"category":"Sm","mappings":{"default":{"default":"precedes under relation"}},"key":"22B0"},{"category":"Sm","mappings":{"default":{"default":"succeeds under relation"}},"key":"22B1"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of"}},"key":"22B2"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup"}},"key":"22B3"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of or equal to"}},"key":"22B4"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup or equal to"}},"key":"22B5"},{"category":"Sm","mappings":{"default":{"default":"original of"}},"key":"22B6"},{"category":"Sm","mappings":{"default":{"default":"image of"}},"key":"22B7"},{"category":"Sm","mappings":{"default":{"default":"multimap"}},"key":"22B8"},{"category":"Sm","mappings":{"default":{"default":"hermitian conjugate matrix"}},"key":"22B9"},{"category":"Sm","mappings":{"default":{"default":"intercalate"}},"key":"22BA"},{"category":"Sm","mappings":{"default":{"default":"xor"}},"key":"22BB"},{"category":"Sm","mappings":{"default":{"default":"nand"}},"key":"22BC"},{"category":"Sm","mappings":{"default":{"default":"nor"}},"key":"22BD"},{"category":"Sm","mappings":{"default":{"default":"right triangle"}},"key":"22BF"},{"category":"Sm","mappings":{"default":{"default":"n ary and"},"mathspeak":{"default":"and"}},"key":"22C0"},{"category":"Sm","mappings":{"default":{"default":"n ary or"},"mathspeak":{"default":"or"}},"key":"22C1"},{"category":"Sm","mappings":{"default":{"default":"n ary intersection"},"mathspeak":{"default":"intersection"}},"key":"22C2"},{"category":"Sm","mappings":{"default":{"default":"n ary union"},"mathspeak":{"default":"union"}},"key":"22C3"},{"category":"Sm","mappings":{"default":{"default":"diamond"}},"key":"22C4"},{"category":"Sm","mappings":{"default":{"default":"dot"},"clearspeak":{"default":"times","MultsymbolDot_Dot":"dot"}},"key":"22C5"},{"category":"Sm","mappings":{"default":{"default":"star"}},"key":"22C6"},{"category":"Sm","mappings":{"default":{"default":"division times"}},"key":"22C7"},{"category":"Sm","mappings":{"default":{"default":"bowtie"}},"key":"22C8"},{"category":"Sm","mappings":{"default":{"default":"left normal factor semidirect product"}},"key":"22C9"},{"category":"Sm","mappings":{"default":{"default":"right normal factor semidirect product"}},"key":"22CA"},{"category":"Sm","mappings":{"default":{"default":"left semidirect product"}},"key":"22CB"},{"category":"Sm","mappings":{"default":{"default":"right semidirect product"}},"key":"22CC"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde equals"}},"key":"22CD"},{"category":"Sm","mappings":{"default":{"default":"curly or"}},"key":"22CE"},{"category":"Sm","mappings":{"default":{"default":"curly and"}},"key":"22CF"},{"category":"Sm","mappings":{"default":{"default":"double subset"}},"key":"22D0"},{"category":"Sm","mappings":{"default":{"default":"double superset"}},"key":"22D1"},{"category":"Sm","mappings":{"default":{"default":"double intersection"}},"key":"22D2"},{"category":"Sm","mappings":{"default":{"default":"double union"}},"key":"22D3"},{"category":"Sm","mappings":{"default":{"default":"pitchfork"}},"key":"22D4"},{"category":"Sm","mappings":{"default":{"default":"equal and parallel to"},"clearspeak":{"default":"is equal and parallel to"}},"key":"22D5"},{"category":"Sm","mappings":{"default":{"default":"less than dot"},"clearspeak":{"default":"is less than dot"}},"key":"22D6"},{"category":"Sm","mappings":{"default":{"default":"greater than dot"},"clearspeak":{"default":"is greater than dot"}},"key":"22D7"},{"category":"Sm","mappings":{"default":{"default":"very much less than"},"clearspeak":{"default":"is very much less than"}},"key":"22D8"},{"category":"Sm","mappings":{"default":{"default":"very much greater than"},"clearspeak":{"default":"is very much greater than"}},"key":"22D9"},{"category":"Sm","mappings":{"default":{"default":"less than equals or greater than"},"clearspeak":{"default":"is less than equal to or greater than"}},"key":"22DA"},{"category":"Sm","mappings":{"default":{"default":"greater than equals or less than"},"clearspeak":{"default":"is greater than equal to or less than"}},"key":"22DB"},{"category":"Sm","mappings":{"default":{"default":"equals or less than"},"clearspeak":{"default":"is equal to or less than"}},"key":"22DC"},{"category":"Sm","mappings":{"default":{"default":"equals or greater than"},"clearspeak":{"default":"is equal to or greater than"}},"key":"22DD"},{"category":"Sm","mappings":{"default":{"default":"equals or precedes"},"clearspeak":{"default":"is equal to or precedes"}},"key":"22DE"},{"category":"Sm","mappings":{"default":{"default":"equals or succeeds"},"clearspeak":{"default":"is equal to or succeeds"}},"key":"22DF"},{"category":"Sm","mappings":{"default":{"default":"does not precede or equal"}},"key":"22E0"},{"category":"Sm","mappings":{"default":{"default":"does not succeed or equal"}},"key":"22E1"},{"category":"Sm","mappings":{"default":{"default":"not square image of or equals"},"clearspeak":{"default":"is not square image of or equal to"}},"key":"22E2"},{"category":"Sm","mappings":{"default":{"default":"not square original of or equals"},"clearspeak":{"default":"is not square original of or equal to"}},"key":"22E3"},{"category":"Sm","mappings":{"default":{"default":"square image of or not equals"},"clearspeak":{"default":"is square image of or not equal to"}},"key":"22E4"},{"category":"Sm","mappings":{"default":{"default":"square original of or not equals"},"clearspeak":{"default":"is square original of or not equal to"}},"key":"22E5"},{"category":"Sm","mappings":{"default":{"default":"less than but not equivalent to"},"clearspeak":{"default":"is less than but not equivalent to"}},"key":"22E6"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equivalent to"},"clearspeak":{"default":"is greater than but not equivalent to"}},"key":"22E7"},{"category":"Sm","mappings":{"default":{"default":"precedes but not equivalent to"}},"key":"22E8"},{"category":"Sm","mappings":{"default":{"default":"succeeds but not equivalent to"}},"key":"22E9"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of"},"clearspeak":{"default":"is not normal subgroup of"}},"key":"22EA"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup"}},"key":"22EB"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of or equals"},"clearspeak":{"default":"is not normal subgroup of or equal to"}},"key":"22EC"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup or equal"}},"key":"22ED"},{"category":"Sm","mappings":{"default":{"default":"vertical ellipsis"}},"key":"22EE"},{"category":"Sm","mappings":{"default":{"default":"midline horizontal ellipsis"},"clearspeak":{"default":"dot dot dot"}},"key":"22EF"},{"category":"Sm","mappings":{"default":{"default":"up right diagonal ellipsis"}},"key":"22F0"},{"category":"Sm","mappings":{"default":{"default":"down right diagonal ellipsis"}},"key":"22F1"},{"category":"Sm","mappings":{"default":{"default":"element of with long horizontal stroke"}},"key":"22F2"},{"category":"Sm","mappings":{"default":{"default":"element of with vertical bar at end of horizontal stroke"}},"key":"22F3"},{"category":"Sm","mappings":{"default":{"default":"small element of with vertical bar at end of horizontal stroke"}},"key":"22F4"},{"category":"Sm","mappings":{"default":{"default":"element of with dot above"}},"key":"22F5"},{"category":"Sm","mappings":{"default":{"default":"element of with overbar"}},"key":"22F6"},{"category":"Sm","mappings":{"default":{"default":"small element of with overbar"}},"key":"22F7"},{"category":"Sm","mappings":{"default":{"default":"element of with underbar"}},"key":"22F8"},{"category":"Sm","mappings":{"default":{"default":"element of with two horizontal strokes"}},"key":"22F9"},{"category":"Sm","mappings":{"default":{"default":"contains with long horizontal stroke"}},"key":"22FA"},{"category":"Sm","mappings":{"default":{"default":"contains with vertical bar at end of horizontal stroke"}},"key":"22FB"},{"category":"Sm","mappings":{"default":{"default":"small contains with vertical bar at end of horizontal stroke"}},"key":"22FC"},{"category":"Sm","mappings":{"default":{"default":"contains with overbar"}},"key":"22FD"},{"category":"Sm","mappings":{"default":{"default":"small contains with overbar"}},"key":"22FE"},{"category":"Sm","mappings":{"default":{"default":"z notation bag membership"}},"key":"22FF"},{"category":"So","mappings":{"default":{"default":"diameter sign"}},"key":"2300"},{"category":"So","mappings":{"default":{"default":"house"}},"key":"2302"},{"category":"So","mappings":{"default":{"default":"projective"}},"key":"2305"},{"category":"So","mappings":{"default":{"default":"perspective"}},"key":"2306"},{"category":"So","mappings":{"default":{"default":"wavy line"}},"key":"2307"},{"category":"So","mappings":{"default":{"default":"reversed not"}},"key":"2310"},{"category":"So","mappings":{"default":{"default":"square lozenge"}},"key":"2311"},{"category":"So","mappings":{"default":{"default":"arc"}},"key":"2312"},{"category":"So","mappings":{"default":{"default":"segment"}},"key":"2313"},{"category":"So","mappings":{"default":{"default":"sector"}},"key":"2314"},{"category":"So","mappings":{"default":{"default":"bold plus"}},"key":"2795"},{"category":"So","mappings":{"default":{"default":"bold minus"}},"key":"2796"},{"category":"So","mappings":{"default":{"default":"bold division"}},"key":"2797"},{"category":"So","mappings":{"default":{"default":"curly loop"}},"key":"27B0"},{"category":"So","mappings":{"default":{"default":"double curly loop"}},"key":"27BF"},{"category":"Sm","mappings":{"default":{"default":"white triangle containing small white triangle"}},"key":"27C1"},{"category":"Sm","mappings":{"default":{"default":"perpendicular"}},"key":"27C2"},{"category":"Sm","mappings":{"default":{"default":"open subset"}},"key":"27C3"},{"category":"Sm","mappings":{"default":{"default":"open superset"}},"key":"27C4"},{"category":"Sm","mappings":{"default":{"default":"or with dot inside"}},"key":"27C7"},{"category":"Sm","mappings":{"default":{"default":"backslash preceding subset"}},"key":"27C8"},{"category":"Sm","mappings":{"default":{"default":"superset preceding solidus"}},"key":"27C9"},{"category":"Sm","mappings":{"default":{"default":"vertical bar with horizontal stroke"}},"key":"27CA"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal"}},"key":"27CB"},{"category":"Sm","mappings":{"default":{"default":"long division"}},"key":"27CC"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal"}},"key":"27CD"},{"category":"Sm","mappings":{"default":{"default":"squared and"}},"key":"27CE"},{"category":"Sm","mappings":{"default":{"default":"squared or"}},"key":"27CF"},{"category":"Sm","mappings":{"default":{"default":"white diamond with centered dot"}},"key":"27D0"},{"category":"Sm","mappings":{"default":{"default":"and with dot"}},"key":"27D1"},{"category":"Sm","mappings":{"default":{"default":"element of opening upwards"}},"key":"27D2"},{"category":"Sm","mappings":{"default":{"default":"lower right corner with dot"}},"key":"27D3"},{"category":"Sm","mappings":{"default":{"default":"upper left corner with dot"}},"key":"27D4"},{"category":"Sm","mappings":{"default":{"default":"left outer join"}},"key":"27D5"},{"category":"Sm","mappings":{"default":{"default":"right outer join"}},"key":"27D6"},{"category":"Sm","mappings":{"default":{"default":"full outer join"}},"key":"27D7"},{"category":"Sm","mappings":{"default":{"default":"large up tack"}},"key":"27D8"},{"category":"Sm","mappings":{"default":{"default":"large down tack"}},"key":"27D9"},{"category":"Sm","mappings":{"default":{"default":"left and right double turnstile"}},"key":"27DA"},{"category":"Sm","mappings":{"default":{"default":"left and right tack"}},"key":"27DB"},{"category":"Sm","mappings":{"default":{"default":"left multimap"}},"key":"27DC"},{"category":"Sm","mappings":{"default":{"default":"long right tack"}},"key":"27DD"},{"category":"Sm","mappings":{"default":{"default":"long left tack"}},"key":"27DE"},{"category":"Sm","mappings":{"default":{"default":"up tack with circle above"}},"key":"27DF"},{"category":"Sm","mappings":{"default":{"default":"lozenge divided by horizontal rule"}},"key":"27E0"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond"}},"key":"27E1"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with leftwards tick"}},"key":"27E2"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with rightwards tick"}},"key":"27E3"},{"category":"Sm","mappings":{"default":{"default":"white square with leftwards tick"}},"key":"27E4"},{"category":"Sm","mappings":{"default":{"default":"white square with rightwards tick"}},"key":"27E5"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing falling diagonal"}},"key":"292B"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing rising diagonal"}},"key":"292C"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar delimiter"}},"key":"2980"},{"category":"Sm","mappings":{"default":{"default":"z notation spot"}},"key":"2981"},{"category":"Sm","mappings":{"default":{"default":"z notation type colon"}},"key":"2982"},{"category":"Sm","mappings":{"default":{"default":"dotted fence"}},"key":"2999"},{"category":"Sm","mappings":{"default":{"default":"vertical zigzag line"}},"key":"299A"},{"category":"Sm","mappings":{"default":{"default":"reversed empty set"}},"key":"29B0"},{"category":"Sm","mappings":{"default":{"default":"empty set with overbar"}},"key":"29B1"},{"category":"Sm","mappings":{"default":{"default":"empty set with small circle above"}},"key":"29B2"},{"category":"Sm","mappings":{"default":{"default":"circle with horizontal bar"}},"key":"29B5"},{"category":"Sm","mappings":{"default":{"default":"circled vertical bar"}},"key":"29B6"},{"category":"Sm","mappings":{"default":{"default":"circled parallel"}},"key":"29B7"},{"category":"Sm","mappings":{"default":{"default":"circled backslash"}},"key":"29B8"},{"category":"Sm","mappings":{"default":{"default":"circled perpendicular"}},"key":"29B9"},{"category":"Sm","mappings":{"default":{"default":"circle divided by horizontal bar and top half divided by vertical bar"}},"key":"29BA"},{"category":"Sm","mappings":{"default":{"default":"circle with superimposed x"}},"key":"29BB"},{"category":"Sm","mappings":{"default":{"default":"circled anticlockwise rotated division"}},"key":"29BC"},{"category":"Sm","mappings":{"default":{"default":"circled white bullet"}},"key":"29BE"},{"category":"Sm","mappings":{"default":{"default":"circled bullet"}},"key":"29BF"},{"category":"Sm","mappings":{"default":{"default":"circled less than"}},"key":"29C0"},{"category":"Sm","mappings":{"default":{"default":"circled greater than"}},"key":"29C1"},{"category":"Sm","mappings":{"default":{"default":"circle with small circle to the right"}},"key":"29C2"},{"category":"Sm","mappings":{"default":{"default":"circle with two horizontal strokes to the right"}},"key":"29C3"},{"category":"Sm","mappings":{"default":{"default":"squared rising diagonal slash"}},"key":"29C4"},{"category":"Sm","mappings":{"default":{"default":"squared falling diagonal slash"}},"key":"29C5"},{"category":"Sm","mappings":{"default":{"default":"squared asterisk"}},"key":"29C6"},{"category":"Sm","mappings":{"default":{"default":"squared small circle"}},"key":"29C7"},{"category":"Sm","mappings":{"default":{"default":"squared square"}},"key":"29C8"},{"category":"Sm","mappings":{"default":{"default":"two joined squares"}},"key":"29C9"},{"category":"Sm","mappings":{"default":{"default":"triangle with dot above"}},"key":"29CA"},{"category":"Sm","mappings":{"default":{"default":"triangle with underbar"}},"key":"29CB"},{"category":"Sm","mappings":{"default":{"default":"s in triangle"}},"key":"29CC"},{"category":"Sm","mappings":{"default":{"default":"triangle with serifs at bottom"}},"key":"29CD"},{"category":"Sm","mappings":{"default":{"default":"right triangle above left triangle"}},"key":"29CE"},{"category":"Sm","mappings":{"default":{"default":"left triangle beside vertical bar"}},"key":"29CF"},{"category":"Sm","mappings":{"default":{"default":"vertical bar beside right triangle"}},"key":"29D0"},{"category":"Sm","mappings":{"default":{"default":"bowtie with left half black"}},"key":"29D1"},{"category":"Sm","mappings":{"default":{"default":"bowtie with right half black"}},"key":"29D2"},{"category":"Sm","mappings":{"default":{"default":"black bowtie"}},"key":"29D3"},{"category":"Sm","mappings":{"default":{"default":"times with left half black"}},"key":"29D4"},{"category":"Sm","mappings":{"default":{"default":"times with right half black"}},"key":"29D5"},{"category":"Sm","mappings":{"default":{"default":"white hourglass"}},"key":"29D6"},{"category":"Sm","mappings":{"default":{"default":"black hourglass"}},"key":"29D7"},{"category":"Sm","mappings":{"default":{"default":"incomplete infinity"}},"key":"29DC"},{"category":"Sm","mappings":{"default":{"default":"tie over infinity"}},"key":"29DD"},{"category":"Sm","mappings":{"default":{"default":"infinity negated with vertical bar"}},"key":"29DE"},{"category":"Sm","mappings":{"default":{"default":"double ended multimap"}},"key":"29DF"},{"category":"Sm","mappings":{"default":{"default":"square with contoured outline"}},"key":"29E0"},{"category":"Sm","mappings":{"default":{"default":"increases as"}},"key":"29E1"},{"category":"Sm","mappings":{"default":{"default":"shuffle product"}},"key":"29E2"},{"category":"Sm","mappings":{"default":{"default":"equals and slanted parallel"}},"key":"29E3"},{"category":"Sm","mappings":{"default":{"default":"equals and slanted parallel with tilde above"}},"key":"29E4"},{"category":"Sm","mappings":{"default":{"default":"identical to and slanted parallel"}},"key":"29E5"},{"category":"Sm","mappings":{"default":{"default":"gleich stark"}},"key":"29E6"},{"category":"Sm","mappings":{"default":{"default":"thermodynamic"}},"key":"29E7"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with left half black"}},"key":"29E8"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with right half black"}},"key":"29E9"},{"category":"Sm","mappings":{"default":{"default":"black lozenge"}},"key":"29EB"},{"category":"Sm","mappings":{"default":{"default":"error barred white square"}},"key":"29EE"},{"category":"Sm","mappings":{"default":{"default":"error barred black square"}},"key":"29EF"},{"category":"Sm","mappings":{"default":{"default":"error barred white diamond"}},"key":"29F0"},{"category":"Sm","mappings":{"default":{"default":"error barred black diamond"}},"key":"29F1"},{"category":"Sm","mappings":{"default":{"default":"error barred white circle"}},"key":"29F2"},{"category":"Sm","mappings":{"default":{"default":"error barred black circle"}},"key":"29F3"},{"category":"Sm","mappings":{"default":{"default":"rule delayed"}},"key":"29F4"},{"category":"Sm","mappings":{"default":{"default":"backslash"}},"key":"29F5"},{"category":"Sm","mappings":{"default":{"default":"solidus with overbar"}},"key":"29F6"},{"category":"Sm","mappings":{"default":{"default":"backslash with horizontal stroke"}},"key":"29F7"},{"category":"Sm","mappings":{"default":{"default":"big solidus"},"mathspeak":{"default":"solidus"}},"key":"29F8"},{"category":"Sm","mappings":{"default":{"default":"big backslash"},"mathspeak":{"default":"backslash"}},"key":"29F9"},{"category":"Sm","mappings":{"default":{"default":"double plus"}},"key":"29FA"},{"category":"Sm","mappings":{"default":{"default":"triple plus"}},"key":"29FB"},{"category":"Sm","mappings":{"default":{"default":"tiny"}},"key":"29FE"},{"category":"Sm","mappings":{"default":{"default":"miny"}},"key":"29FF"},{"category":"Sm","mappings":{"default":{"default":"n ary circled dot"},"mathspeak":{"default":"circled dot"}},"key":"2A00"},{"category":"Sm","mappings":{"default":{"default":"n ary circled plus"},"mathspeak":{"default":"circled plus"}},"key":"2A01"},{"category":"Sm","mappings":{"default":{"default":"n ary circled times"},"mathspeak":{"default":"circled times"}},"key":"2A02"},{"category":"Sm","mappings":{"default":{"default":"n ary union with dot"},"mathspeak":{"default":"union with dot"}},"key":"2A03"},{"category":"Sm","mappings":{"default":{"default":"n ary union operator with plus"},"mathspeak":{"default":"union with plus"}},"key":"2A04"},{"category":"Sm","mappings":{"default":{"default":"n ary square intersection"},"mathspeak":{"default":"square intersection"}},"key":"2A05"},{"category":"Sm","mappings":{"default":{"default":"n ary square union"},"mathspeak":{"default":"square union"}},"key":"2A06"},{"category":"Sm","mappings":{"default":{"default":"two and"}},"key":"2A07"},{"category":"Sm","mappings":{"default":{"default":"two or"}},"key":"2A08"},{"category":"Sm","mappings":{"default":{"default":"n ary times"},"mathspeak":{"default":"times"}},"key":"2A09"},{"category":"Sm","mappings":{"default":{"default":"modulo two sum"}},"key":"2A0A"},{"category":"Sm","mappings":{"default":{"default":"summation with integral"}},"key":"2A0B"},{"category":"Sm","mappings":{"default":{"default":"quadruple integral"}},"key":"2A0C"},{"category":"Sm","mappings":{"default":{"default":"finite part integral"}},"key":"2A0D"},{"category":"Sm","mappings":{"default":{"default":"integral with double stroke"}},"key":"2A0E"},{"category":"Sm","mappings":{"default":{"default":"integral average with slash"}},"key":"2A0F"},{"category":"Sm","mappings":{"default":{"default":"circulation function"}},"key":"2A10"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise integration"}},"key":"2A11"},{"category":"Sm","mappings":{"default":{"default":"line integration with rectangular path around pole"}},"key":"2A12"},{"category":"Sm","mappings":{"default":{"default":"line integration with semicircular path around pole"}},"key":"2A13"},{"category":"Sm","mappings":{"default":{"default":"line integration not including the pole"}},"key":"2A14"},{"category":"Sm","mappings":{"default":{"default":"integral around a point"}},"key":"2A15"},{"category":"Sm","mappings":{"default":{"default":"quaternion integral"}},"key":"2A16"},{"category":"Sm","mappings":{"default":{"default":"integral with times"}},"key":"2A18"},{"category":"Sm","mappings":{"default":{"default":"integral with intersection"}},"key":"2A19"},{"category":"Sm","mappings":{"default":{"default":"integral with union"}},"key":"2A1A"},{"category":"Sm","mappings":{"default":{"default":"integral with overbar"}},"key":"2A1B"},{"category":"Sm","mappings":{"default":{"default":"integral with underbar"}},"key":"2A1C"},{"category":"Sm","mappings":{"default":{"default":"join"}},"key":"2A1D"},{"category":"Sm","mappings":{"default":{"default":"large left triangle"}},"key":"2A1E"},{"category":"Sm","mappings":{"default":{"default":"z notation schema composition"}},"key":"2A1F"},{"category":"Sm","mappings":{"default":{"default":"z notation schema piping"}},"key":"2A20"},{"category":"Sm","mappings":{"default":{"default":"z notation schema projection"}},"key":"2A21"},{"category":"Sm","mappings":{"default":{"default":"plus with circle above"}},"key":"2A22"},{"category":"Sm","mappings":{"default":{"default":"plus hat"}},"key":"2A23"},{"category":"Sm","mappings":{"default":{"default":"plus tilde"}},"key":"2A24"},{"category":"Sm","mappings":{"default":{"default":"plus underdot"}},"key":"2A25"},{"category":"Sm","mappings":{"default":{"default":"plus sign with tilde below"}},"key":"2A26"},{"category":"Sm","mappings":{"default":{"default":"plus sign with subscript two"}},"key":"2A27"},{"category":"Sm","mappings":{"default":{"default":"plus sign with black triangle"}},"key":"2A28"},{"category":"Sm","mappings":{"default":{"default":"minus sign with comma above"}},"key":"2A29"},{"category":"Sm","mappings":{"default":{"default":"minus sign with dot below"}},"key":"2A2A"},{"category":"Sm","mappings":{"default":{"default":"minus sign with falling dots"}},"key":"2A2B"},{"category":"Sm","mappings":{"default":{"default":"minus sign with rising dots"}},"key":"2A2C"},{"category":"Sm","mappings":{"default":{"default":"plus sign in left half circle"}},"key":"2A2D"},{"category":"Sm","mappings":{"default":{"default":"plus sign in right half circle"}},"key":"2A2E"},{"category":"Sm","mappings":{"default":{"default":"vector or cross product"}},"key":"2A2F"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with dot above"}},"key":"2A30"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with underbar"}},"key":"2A31"},{"category":"Sm","mappings":{"default":{"default":"semidirect product with bottom closed"}},"key":"2A32"},{"category":"Sm","mappings":{"default":{"default":"smash product"}},"key":"2A33"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in left half circle"}},"key":"2A34"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in right half circle"}},"key":"2A35"},{"category":"Sm","mappings":{"default":{"default":"circled multiplication sign with circumflex accent"}},"key":"2A36"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in double circle"}},"key":"2A37"},{"category":"Sm","mappings":{"default":{"default":"circled division"}},"key":"2A38"},{"category":"Sm","mappings":{"default":{"default":"plus sign in triangle"}},"key":"2A39"},{"category":"Sm","mappings":{"default":{"default":"minus sign in triangle"}},"key":"2A3A"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in triangle"}},"key":"2A3B"},{"category":"Sm","mappings":{"default":{"default":"interior product"}},"key":"2A3C"},{"category":"Sm","mappings":{"default":{"default":"righthand interior product"}},"key":"2A3D"},{"category":"Sm","mappings":{"default":{"default":"z notation relational composition"}},"key":"2A3E"},{"category":"Sm","mappings":{"default":{"default":"amalgamation or coproduct"}},"key":"2A3F"},{"category":"Sm","mappings":{"default":{"default":"intersection with dot"}},"key":"2A40"},{"category":"Sm","mappings":{"default":{"default":"union with minus"}},"key":"2A41"},{"category":"Sm","mappings":{"default":{"default":"union with overbar"}},"key":"2A42"},{"category":"Sm","mappings":{"default":{"default":"intersection with overbar"}},"key":"2A43"},{"category":"Sm","mappings":{"default":{"default":"intersection with and"}},"key":"2A44"},{"category":"Sm","mappings":{"default":{"default":"union with or"}},"key":"2A45"},{"category":"Sm","mappings":{"default":{"default":"union above intersection"}},"key":"2A46"},{"category":"Sm","mappings":{"default":{"default":"intersection above union"}},"key":"2A47"},{"category":"Sm","mappings":{"default":{"default":"union above bar above intersection"}},"key":"2A48"},{"category":"Sm","mappings":{"default":{"default":"intersection above bar above union"}},"key":"2A49"},{"category":"Sm","mappings":{"default":{"default":"union beside and joined with union"}},"key":"2A4A"},{"category":"Sm","mappings":{"default":{"default":"intersection beside and joined with intersection"}},"key":"2A4B"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs"}},"key":"2A4C"},{"category":"Sm","mappings":{"default":{"default":"closed intersection with serifs"}},"key":"2A4D"},{"category":"Sm","mappings":{"default":{"default":"double square intersection"}},"key":"2A4E"},{"category":"Sm","mappings":{"default":{"default":"double square union"}},"key":"2A4F"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs and smash product"}},"key":"2A50"},{"category":"Sm","mappings":{"default":{"default":"and with dot above"}},"key":"2A51"},{"category":"Sm","mappings":{"default":{"default":"or with dot above"}},"key":"2A52"},{"category":"Sm","mappings":{"default":{"default":"double and"}},"key":"2A53"},{"category":"Sm","mappings":{"default":{"default":"double or"}},"key":"2A54"},{"category":"Sm","mappings":{"default":{"default":"two intersecting and"}},"key":"2A55"},{"category":"Sm","mappings":{"default":{"default":"two intersecting or"}},"key":"2A56"},{"category":"Sm","mappings":{"default":{"default":"sloping large or"}},"key":"2A57"},{"category":"Sm","mappings":{"default":{"default":"sloping large and"}},"key":"2A58"},{"category":"Sm","mappings":{"default":{"default":"or overlapping and"}},"key":"2A59"},{"category":"Sm","mappings":{"default":{"default":"and with middle stem"}},"key":"2A5A"},{"category":"Sm","mappings":{"default":{"default":"or with middle stem"}},"key":"2A5B"},{"category":"Sm","mappings":{"default":{"default":"and with horizontal dash"}},"key":"2A5C"},{"category":"Sm","mappings":{"default":{"default":"or with horizontal dash"}},"key":"2A5D"},{"category":"Sm","mappings":{"default":{"default":"and with double overbar"}},"key":"2A5E"},{"category":"Sm","mappings":{"default":{"default":"and with underbar"}},"key":"2A5F"},{"category":"Sm","mappings":{"default":{"default":"and with double underbar"}},"key":"2A60"},{"category":"Sm","mappings":{"default":{"default":"small vee with underbar"}},"key":"2A61"},{"category":"Sm","mappings":{"default":{"default":"or with double overbar"}},"key":"2A62"},{"category":"Sm","mappings":{"default":{"default":"or with double underbar"}},"key":"2A63"},{"category":"Sm","mappings":{"default":{"default":"z notation domain antirestriction"}},"key":"2A64"},{"category":"Sm","mappings":{"default":{"default":"z notation range antirestriction"}},"key":"2A65"},{"category":"Sm","mappings":{"default":{"default":"equals sign with dot below"}},"key":"2A66"},{"category":"Sm","mappings":{"default":{"default":"identical with dot above"}},"key":"2A67"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with double vertical stroke"}},"key":"2A68"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with triple vertical stroke"}},"key":"2A69"},{"category":"Sm","mappings":{"default":{"default":"tilde with dot above"}},"key":"2A6A"},{"category":"Sm","mappings":{"default":{"default":"tilde with rising dots"}},"key":"2A6B"},{"category":"Sm","mappings":{"default":{"default":"similar minus similar"}},"key":"2A6C"},{"category":"Sm","mappings":{"default":{"default":"congruent with dot above"}},"key":"2A6D"},{"category":"Sm","mappings":{"default":{"default":"equals with asterisk"}},"key":"2A6E"},{"category":"Sm","mappings":{"default":{"default":"almost equal hat"}},"key":"2A6F"},{"category":"Sm","mappings":{"default":{"default":"approximately equal or equal to"}},"key":"2A70"},{"category":"Sm","mappings":{"default":{"default":"equals above plus"}},"key":"2A71"},{"category":"Sm","mappings":{"default":{"default":"plus above equals"}},"key":"2A72"},{"category":"Sm","mappings":{"default":{"default":"equals above tilde"}},"key":"2A73"},{"category":"Sm","mappings":{"default":{"default":"double colon equal"}},"key":"2A74"},{"category":"Sm","mappings":{"default":{"default":"two consecutive equals"}},"key":"2A75"},{"category":"Sm","mappings":{"default":{"default":"three consecutive equals"}},"key":"2A76"},{"category":"Sm","mappings":{"default":{"default":"equals sign with two dots above and two dots below"}},"key":"2A77"},{"category":"Sm","mappings":{"default":{"default":"equivalent with four dots above"}},"key":"2A78"},{"category":"Sm","mappings":{"default":{"default":"less than with circle inside"}},"key":"2A79"},{"category":"Sm","mappings":{"default":{"default":"greater than with circle inside"}},"key":"2A7A"},{"category":"Sm","mappings":{"default":{"default":"less than with question mark above"}},"key":"2A7B"},{"category":"Sm","mappings":{"default":{"default":"greater than with question mark above"}},"key":"2A7C"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals"}},"key":"2A7D"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals"}},"key":"2A7E"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot inside"}},"key":"2A7F"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot inside"}},"key":"2A80"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above"}},"key":"2A81"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above"}},"key":"2A82"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above right"}},"key":"2A83"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above left"}},"key":"2A84"},{"category":"Sm","mappings":{"default":{"default":"less than or approximate"}},"key":"2A85"},{"category":"Sm","mappings":{"default":{"default":"greater than or approximate"}},"key":"2A86"},{"category":"Sm","mappings":{"default":{"default":"less than and single line not equals"}},"key":"2A87"},{"category":"Sm","mappings":{"default":{"default":"greater than and single line not equals"}},"key":"2A88"},{"category":"Sm","mappings":{"default":{"default":"less than and not approximate"}},"key":"2A89"},{"category":"Sm","mappings":{"default":{"default":"greater than and not approximate"}},"key":"2A8A"},{"category":"Sm","mappings":{"default":{"default":"less than above double line equal above greater than"}},"key":"2A8B"},{"category":"Sm","mappings":{"default":{"default":"greater than above double line equal above less than"}},"key":"2A8C"},{"category":"Sm","mappings":{"default":{"default":"less than above similar or equal"}},"key":"2A8D"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar or equal"}},"key":"2A8E"},{"category":"Sm","mappings":{"default":{"default":"less than above similar above greater than"}},"key":"2A8F"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar above less than"}},"key":"2A90"},{"category":"Sm","mappings":{"default":{"default":"less than above greater than above double line equal"}},"key":"2A91"},{"category":"Sm","mappings":{"default":{"default":"greater than above less than above double line equal"}},"key":"2A92"},{"category":"Sm","mappings":{"default":{"default":"less than above slanted equal above greater than above slanted equal"}},"key":"2A93"},{"category":"Sm","mappings":{"default":{"default":"greater than above slanted equal above less than above slanted equal"}},"key":"2A94"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than"}},"key":"2A95"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than"}},"key":"2A96"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than with dot inside"}},"key":"2A97"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than with dot inside"}},"key":"2A98"},{"category":"Sm","mappings":{"default":{"default":"double line equals or less than"}},"key":"2A99"},{"category":"Sm","mappings":{"default":{"default":"double line equals or greater than"}},"key":"2A9A"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or less than"}},"key":"2A9B"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or greater than"}},"key":"2A9C"},{"category":"Sm","mappings":{"default":{"default":"similar or less than"}},"key":"2A9D"},{"category":"Sm","mappings":{"default":{"default":"similar or greater than"}},"key":"2A9E"},{"category":"Sm","mappings":{"default":{"default":"similar above less than above equals sign"}},"key":"2A9F"},{"category":"Sm","mappings":{"default":{"default":"similar above greater than above equals sign"}},"key":"2AA0"},{"category":"Sm","mappings":{"default":{"default":"double nested less than"}},"key":"2AA1"},{"category":"Sm","mappings":{"default":{"default":"double nested greater than"}},"key":"2AA2"},{"category":"Sm","mappings":{"default":{"default":"double nested less than with underbar"}},"key":"2AA3"},{"category":"Sm","mappings":{"default":{"default":"greater than overlapping less than"}},"key":"2AA4"},{"category":"Sm","mappings":{"default":{"default":"greater than beside less than"}},"key":"2AA5"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve"}},"key":"2AA6"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve"}},"key":"2AA7"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve above slanted equal"}},"key":"2AA8"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve above slanted equal"}},"key":"2AA9"},{"category":"Sm","mappings":{"default":{"default":"smaller than"},"clearspeak":{"default":"is smaller than"}},"key":"2AAA"},{"category":"Sm","mappings":{"default":{"default":"larger than"},"clearspeak":{"default":"is larger than"}},"key":"2AAB"},{"category":"Sm","mappings":{"default":{"default":"smaller than or equals"},"clearspeak":{"default":"is smaller than or equal to"}},"key":"2AAC"},{"category":"Sm","mappings":{"default":{"default":"larger than or equal"},"clearspeak":{"default":"is larger than or equal to"}},"key":"2AAD"},{"category":"Sm","mappings":{"default":{"default":"equals with bumpy above"}},"key":"2AAE"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line equals sign"}},"key":"2AAF"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line equals sign"}},"key":"2AB0"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line not equals"}},"key":"2AB1"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line not equals"}},"key":"2AB2"},{"category":"Sm","mappings":{"default":{"default":"precedes above equals"}},"key":"2AB3"},{"category":"Sm","mappings":{"default":{"default":"succeeds above equals"}},"key":"2AB4"},{"category":"Sm","mappings":{"default":{"default":"precedes above not equals"}},"key":"2AB5"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not equals"}},"key":"2AB6"},{"category":"Sm","mappings":{"default":{"default":"precedes above almost equals"}},"key":"2AB7"},{"category":"Sm","mappings":{"default":{"default":"succeeds above almost equals"}},"key":"2AB8"},{"category":"Sm","mappings":{"default":{"default":"precedes above not almost equals"}},"key":"2AB9"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not almost equals"}},"key":"2ABA"},{"category":"Sm","mappings":{"default":{"default":"double precedes"}},"key":"2ABB"},{"category":"Sm","mappings":{"default":{"default":"double succeeds"}},"key":"2ABC"},{"category":"Sm","mappings":{"default":{"default":"subset with dot"}},"key":"2ABD"},{"category":"Sm","mappings":{"default":{"default":"superset with dot"}},"key":"2ABE"},{"category":"Sm","mappings":{"default":{"default":"subset with plus sign below"}},"key":"2ABF"},{"category":"Sm","mappings":{"default":{"default":"superset with plus sign below"}},"key":"2AC0"},{"category":"Sm","mappings":{"default":{"default":"subset with multiplication sign below"}},"key":"2AC1"},{"category":"Sm","mappings":{"default":{"default":"superset with multiplication sign below"}},"key":"2AC2"},{"category":"Sm","mappings":{"default":{"default":"subset of or equals with dot above"}},"key":"2AC3"},{"category":"Sm","mappings":{"default":{"default":"superset of or equals with dot above"}},"key":"2AC4"},{"category":"Sm","mappings":{"default":{"default":"subset of above equals sign"}},"key":"2AC5"},{"category":"Sm","mappings":{"default":{"default":"superset of above equals sign"}},"key":"2AC6"},{"category":"Sm","mappings":{"default":{"default":"subset of above tilde"}},"key":"2AC7"},{"category":"Sm","mappings":{"default":{"default":"superset of above tilde"}},"key":"2AC8"},{"category":"Sm","mappings":{"default":{"default":"subset of above almost equals"}},"key":"2AC9"},{"category":"Sm","mappings":{"default":{"default":"superset of above almost equals"}},"key":"2ACA"},{"category":"Sm","mappings":{"default":{"default":"subset of above not equals"}},"key":"2ACB"},{"category":"Sm","mappings":{"default":{"default":"superset of above not equals"}},"key":"2ACC"},{"category":"Sm","mappings":{"default":{"default":"square left open box"}},"key":"2ACD"},{"category":"Sm","mappings":{"default":{"default":"square right open box"}},"key":"2ACE"},{"category":"Sm","mappings":{"default":{"default":"closed subset"}},"key":"2ACF"},{"category":"Sm","mappings":{"default":{"default":"closed superset"}},"key":"2AD0"},{"category":"Sm","mappings":{"default":{"default":"closed subset or equals"}},"key":"2AD1"},{"category":"Sm","mappings":{"default":{"default":"closed superset or equals"}},"key":"2AD2"},{"category":"Sm","mappings":{"default":{"default":"subset above superset"}},"key":"2AD3"},{"category":"Sm","mappings":{"default":{"default":"superset above subset"}},"key":"2AD4"},{"category":"Sm","mappings":{"default":{"default":"subset above subset"}},"key":"2AD5"},{"category":"Sm","mappings":{"default":{"default":"superset above superset"}},"key":"2AD6"},{"category":"Sm","mappings":{"default":{"default":"superset beside subset"}},"key":"2AD7"},{"category":"Sm","mappings":{"default":{"default":"superset beside and joined by dash with subset"}},"key":"2AD8"},{"category":"Sm","mappings":{"default":{"default":"element of opening downwards"}},"key":"2AD9"},{"category":"Sm","mappings":{"default":{"default":"pitchfork with tee top"}},"key":"2ADA"},{"category":"Sm","mappings":{"default":{"default":"transversal intersection"}},"key":"2ADB"},{"category":"Sm","mappings":{"default":{"default":"forking"}},"key":"2ADC"},{"category":"Sm","mappings":{"default":{"default":"nonforking"}},"key":"2ADD"},{"category":"Sm","mappings":{"default":{"default":"short left tack"}},"key":"2ADE"},{"category":"Sm","mappings":{"default":{"default":"short down tack"}},"key":"2ADF"},{"category":"Sm","mappings":{"default":{"default":"short up tack"}},"key":"2AE0"},{"category":"Sm","mappings":{"default":{"default":"perpendicular with s"}},"key":"2AE1"},{"category":"Sm","mappings":{"default":{"default":"vertical bar triple right turnstile"}},"key":"2AE2"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar left turnstile"}},"key":"2AE3"},{"category":"Sm","mappings":{"default":{"default":"vertical bar double left turnstile"}},"key":"2AE4"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double left turnstile"}},"key":"2AE5"},{"category":"Sm","mappings":{"default":{"default":"long dash from left member of double vertical"}},"key":"2AE6"},{"category":"Sm","mappings":{"default":{"default":"short down tack with overbar"}},"key":"2AE7"},{"category":"Sm","mappings":{"default":{"default":"short up tack with underbar"}},"key":"2AE8"},{"category":"Sm","mappings":{"default":{"default":"short up tack above short down tack"}},"key":"2AE9"},{"category":"Sm","mappings":{"default":{"default":"double down tack"}},"key":"2AEA"},{"category":"Sm","mappings":{"default":{"default":"double up tack"}},"key":"2AEB"},{"category":"Sm","mappings":{"default":{"default":"double stroke not sign"}},"key":"2AEC"},{"category":"Sm","mappings":{"default":{"default":"reversed double stroke not sign"}},"key":"2AED"},{"category":"Sm","mappings":{"default":{"default":"does not divide with reversed negation slash"}},"key":"2AEE"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle above"}},"key":"2AEF"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle below"}},"key":"2AF0"},{"category":"Sm","mappings":{"default":{"default":"down tack with circle below"}},"key":"2AF1"},{"category":"Sm","mappings":{"default":{"default":"parallel with horizontal stroke"}},"key":"2AF2"},{"category":"Sm","mappings":{"default":{"default":"parallel with tilde"}},"key":"2AF3"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar binary relation"}},"key":"2AF4"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar with horizontal stroke"}},"key":"2AF5"},{"category":"Sm","mappings":{"default":{"default":"triple colon"}},"key":"2AF6"},{"category":"Sm","mappings":{"default":{"default":"triple nested less than"}},"key":"2AF7"},{"category":"Sm","mappings":{"default":{"default":"triple nested greater than"}},"key":"2AF8"},{"category":"Sm","mappings":{"default":{"default":"double line slanted less than or equals"}},"key":"2AF9"},{"category":"Sm","mappings":{"default":{"default":"double line slanted greater than or equals"}},"key":"2AFA"},{"category":"Sm","mappings":{"default":{"default":"triple solidus binary relation"}},"key":"2AFB"},{"category":"Sm","mappings":{"default":{"default":"large triple vertical bar"}},"key":"2AFC"},{"category":"Sm","mappings":{"default":{"default":"double solidus"}},"key":"2AFD"},{"category":"Sm","mappings":{"default":{"default":"white vertical bar"}},"key":"2AFE"},{"category":"Sm","mappings":{"default":{"default":"n ary white vertical bar"},"mathspeak":{"default":"white vertical bar"}},"key":"2AFF"},{"category":"Pd","mappings":{"default":{"default":"wave dash"}},"key":"301C"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical comma"}},"key":"FE10"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical colon"}},"key":"FE13"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical semicolon"}},"key":"FE14"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical exclamation mark"}},"key":"FE15"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical question mark"}},"key":"FE16"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical horizontal ellipsis"}},"key":"FE19"},{"category":"Po","mappings":{"default":{"default":"glyph for vertical two dot leader"}},"key":"FE30"},{"category":"Pd","mappings":{"default":{"default":"glyph for vertical em dash"}},"key":"FE31"},{"category":"Pd","mappings":{"default":{"default":"glyph for vertical en dash"}},"key":"FE32"},{"category":"Pc","mappings":{"default":{"default":"glyph for vertical underline"}},"key":"FE33"},{"category":"Pc","mappings":{"default":{"default":"glyph for vertical wavy underline"}},"key":"FE34"},{"category":"Po","mappings":{"default":{"default":"sesame dot"}},"key":"FE45"},{"category":"Po","mappings":{"default":{"default":"white sesame dot"}},"key":"FE46"},{"category":"Po","mappings":{"default":{"default":"dashed overline"}},"key":"FE49"},{"category":"Po","mappings":{"default":{"default":"dash dot overline"}},"key":"FE4A"},{"category":"Po","mappings":{"default":{"default":"wavy overline"}},"key":"FE4B"},{"category":"Po","mappings":{"default":{"default":"double wavy overline"}},"key":"FE4C"},{"category":"Pc","mappings":{"default":{"default":"dashed underline"}},"key":"FE4D"},{"category":"Pc","mappings":{"default":{"default":"dash dot underline"}},"key":"FE4E"},{"category":"Pc","mappings":{"default":{"default":"wavy underline"}},"key":"FE4F"},{"category":"Po","mappings":{"default":{"default":"small comma"}},"key":"FE50"},{"category":"Po","mappings":{"default":{"default":"small period"}},"key":"FE52"},{"category":"Po","mappings":{"default":{"default":"small semicolon"}},"key":"FE54"},{"category":"Po","mappings":{"default":{"default":"small colon"}},"key":"FE55"},{"category":"Po","mappings":{"default":{"default":"small question mark"}},"key":"FE56"},{"category":"Po","mappings":{"default":{"default":"small exclamation mark"}},"key":"FE57"},{"category":"Pd","mappings":{"default":{"default":"small em dash"}},"key":"FE58"},{"category":"Po","mappings":{"default":{"default":"small number sign"}},"key":"FE5F"},{"category":"Po","mappings":{"default":{"default":"small ampersand"}},"key":"FE60"},{"category":"Po","mappings":{"default":{"default":"small asterisk"}},"key":"FE61"},{"category":"Sm","mappings":{"default":{"default":"small plus sign"}},"key":"FE62"},{"category":"Pd","mappings":{"default":{"default":"small hyphen minus"}},"key":"FE63"},{"category":"Sm","mappings":{"default":{"default":"small less than sign"}},"key":"FE64"},{"category":"Sm","mappings":{"default":{"default":"small greater than sign"}},"key":"FE65"},{"category":"Sm","mappings":{"default":{"default":"small equals"}},"key":"FE66"},{"category":"Po","mappings":{"default":{"default":"small backslash","alternative":"small reverse solidus"}},"key":"FE68"},{"category":"Sc","mappings":{"default":{"default":"small dollar sign"}},"key":"FE69"},{"category":"Po","mappings":{"default":{"default":"small percent sign"}},"key":"FE6A"},{"category":"Po","mappings":{"default":{"default":"small commercial at"}},"key":"FE6B"},{"category":"Po","mappings":{"default":{"default":"exclamation mark"}},"key":"FF01"},{"category":"Po","mappings":{"default":{"default":"quotation mark"}},"key":"FF02"},{"category":"Po","mappings":{"default":{"default":"number sign"}},"key":"FF03"},{"category":"Sc","mappings":{"default":{"default":"dollar sign"}},"key":"FF04"},{"category":"Po","mappings":{"default":{"default":"percent sign"}},"key":"FF05"},{"category":"Po","mappings":{"default":{"default":"ampersand"}},"key":"FF06"},{"category":"Po","mappings":{"default":{"default":"apostrophe"}},"key":"FF07"},{"category":"Po","mappings":{"default":{"default":"asterisk"}},"key":"FF0A"},{"category":"Sm","mappings":{"default":{"default":"plus sign"}},"key":"FF0B"},{"category":"Po","mappings":{"default":{"default":"comma"}},"key":"FF0C"},{"category":"Pd","mappings":{"default":{"default":"hyphen minus"}},"key":"FF0D"},{"category":"Po","mappings":{"default":{"default":"period"}},"key":"FF0E"},{"category":"Po","mappings":{"default":{"default":"slash","alternative":"solidus"}},"key":"FF0F"},{"category":"Po","mappings":{"default":{"default":"colon"}},"key":"FF1A"},{"category":"Po","mappings":{"default":{"default":"semicolon"}},"key":"FF1B"},{"category":"Sm","mappings":{"default":{"default":"less than"}},"key":"FF1C"},{"category":"Sm","mappings":{"default":{"default":"equals"}},"key":"FF1D"},{"category":"Sm","mappings":{"default":{"default":"greater than"}},"key":"FF1E"},{"category":"Po","mappings":{"default":{"default":"question mark"}},"key":"FF1F"},{"category":"Po","mappings":{"default":{"default":"commercial at"}},"key":"FF20"},{"category":"Po","mappings":{"default":{"default":"backslash","alternative":"reverse solidus"}},"key":"FF3C"},{"category":"Sk","mappings":{"default":{"default":"caret","alternative":"circumflex"}},"key":"FF3E"},{"category":"Pc","mappings":{"default":{"default":"bar","alternative":"underline"}},"key":"FF3F"},{"category":"Sk","mappings":{"default":{"default":"grave"}},"key":"FF40"},{"category":"Sm","mappings":{"default":{"default":"vertical bar"}},"key":"FF5C"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"FF5E"},{"category":"Sc","mappings":{"default":{"default":"cent sign"}},"key":"FFE0"},{"category":"Sc","mappings":{"default":{"default":"pound sign"}},"key":"FFE1"},{"category":"Sm","mappings":{"default":{"default":"not sign"}},"key":"FFE2"},{"category":"Sk","mappings":{"default":{"default":"macron"},"mathspeak":{"default":"bar"}},"key":"FFE3"},{"category":"So","mappings":{"default":{"default":"broken vertical bar"}},"key":"FFE4"},{"category":"Sc","mappings":{"default":{"default":"yen sign"}},"key":"FFE5"},{"category":"Sc","mappings":{"default":{"default":"won sign"}},"key":"FFE6"},{"category":"So","mappings":{"default":{"default":"halfwidth forms light vertical"}},"key":"FFE8"},{"category":"So","mappings":{"default":{"default":"halfwidth black square"}},"key":"FFED"},{"category":"So","mappings":{"default":{"default":"halfwidth white circle"}},"key":"FFEE"}]
 ,
-"en/math_non_characters.js": 
-[{"locale":"en"},{"category":"Ll","mappings":{"default":{"default":"mathematical italic small h over two time greek letter pi","alternative":"italic small h over two pi","short":"italic h over two pi"},"physics":{"default":"planck constant over two pi","alternative":"planck constant over 2 pi"}},"key":"210F"},{"category":"So","mappings":{"default":{"default":"l b bar symbol","short":"l b bar"}},"key":"2114"},{"category":"So","mappings":{"default":{"default":"numero sign","alternative":"numero","short":"numero"}},"key":"2116"},{"category":"So","mappings":{"default":{"default":"sound recording copyright"}},"key":"2117"},{"category":"So","mappings":{"default":{"default":"prescription take"}},"key":"211E"},{"category":"So","mappings":{"default":{"default":"response"}},"key":"211F"},{"category":"So","mappings":{"default":{"default":"service mark"}},"key":"2120"},{"category":"So","mappings":{"default":{"default":"telephone sign","alternative":"t e l symbol"}},"key":"2121"},{"category":"So","mappings":{"default":{"default":"trade mark sign","alternative":"trademark","short":"trade mark"}},"key":"2122"},{"category":"So","mappings":{"default":{"default":"versicle"}},"key":"2123"},{"category":"So","mappings":{"default":{"default":"ounce sign","alternative":"ounce","short":"ounce"}},"key":"2125"},{"category":"Lu","mappings":{"default":{"default":"ohm sign","alternative":"ohm","short":"ohm"}},"key":"2126"},{"category":"So","mappings":{"default":{"default":"inverted ohm sign","alternative":"mho","short":"inverted ohm"}},"key":"2127"},{"category":"Lu","mappings":{"default":{"default":"kelvin sign","alternative":"degrees kelvin","short":"kelvin"}},"key":"212A"},{"category":"Lu","mappings":{"default":{"default":"angstrom sign","alternative":"angstrom unit","short":"angstrom"}},"key":"212B"},{"category":"So","mappings":{"default":{"default":"estimated symbol","short":"estimated"}},"key":"212E"},{"category":"Lu","mappings":{"default":{"default":"turned capital f","alternative":"turned f","short":"turned cap f"},"mathspeak":{"default":"turned upper F"}},"key":"2132"},{"category":"Ll","mappings":{"default":{"default":"information source"}},"key":"2139"},{"category":"So","mappings":{"default":{"default":"rotated capital q","short":"rotated cap q"},"mathspeak":{"default":"rotated upper Q"}},"key":"213A"},{"category":"So","mappings":{"default":{"default":"facsimile sign"}},"key":"213B"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif capital g","short":"turned sans serif cap g"},"mathspeak":{"default":"turned sans serif upper G"}},"key":"2141"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif capital l","short":"turned sans serif cap l"},"mathspeak":{"default":"turned sans serif upper L"}},"key":"2142"},{"category":"Sm","mappings":{"default":{"default":"reversed sans serif capital l","short":"reversed sans serif cap l"},"mathspeak":{"default":"reversed sans serif upper L"}},"key":"2143"},{"category":"Sm","mappings":{"default":{"default":"turned sans serif capital y","short":"turned sans serif cap y"},"mathspeak":{"default":"turned sans serif upper Y"}},"key":"2144"}]
+"en/symbols/math_whitespace.js": 
+[{"locale":"en"},{"category":"Zs","mappings":{"default":{"default":"space"}},"key":"0020"},{"category":"Zs","mappings":{"default":{"default":"no break space","alternative":"non breaking space"}},"key":"00A0"},{"category":"Cf","mappings":{"default":{"default":"soft hyphen"}},"key":"00AD"},{"category":"Zs","mappings":{"default":{"default":"en quad"}},"key":"2000"},{"category":"Zs","mappings":{"default":{"default":"em quad"}},"key":"2001"},{"category":"Zs","mappings":{"default":{"default":"en space"}},"key":"2002"},{"category":"Zs","mappings":{"default":{"default":"em space"}},"key":"2003"},{"category":"Zs","mappings":{"default":{"default":"three per em space"}},"key":"2004"},{"category":"Zs","mappings":{"default":{"default":"four per em space"}},"key":"2005"},{"category":"Zs","mappings":{"default":{"default":"six per em space"}},"key":"2006"},{"category":"Zs","mappings":{"default":{"default":"figure space"}},"key":"2007"},{"category":"Zs","mappings":{"default":{"default":"punctuation space"}},"key":"2008"},{"category":"Zs","mappings":{"default":{"default":"thin space"}},"key":"2009"},{"category":"Zs","mappings":{"default":{"default":"hair space"}},"key":"200A"},{"category":"Cf","mappings":{"default":{"default":"zero width space"}},"key":"200B"},{"category":"Cf","mappings":{"default":{"default":"zero width non joiner"}},"key":"200C"},{"category":"Cf","mappings":{"default":{"default":"zero width joiner"}},"key":"200D"},{"category":"Cf","mappings":{"default":{"default":"left to right mark"}},"key":"200E"},{"category":"Cf","mappings":{"default":{"default":"right to left mark"}},"key":"200F"},{"category":"Zl","mappings":{"default":{"default":"line separator"}},"key":"2028"},{"category":"Zp","mappings":{"default":{"default":"paragraph separator"}},"key":"2029"},{"category":"Cf","mappings":{"default":{"default":"left to right embedding"}},"key":"202A"},{"category":"Cf","mappings":{"default":{"default":"right to left embedding"}},"key":"202B"},{"category":"Cf","mappings":{"default":{"default":"pop directional formatting"}},"key":"202C"},{"category":"Cf","mappings":{"default":{"default":"left to right override"}},"key":"202D"},{"category":"Cf","mappings":{"default":{"default":"right to left override"}},"key":"202E"},{"category":"Zs","mappings":{"default":{"default":"narrow no break space"}},"key":"202F"},{"category":"Zs","mappings":{"default":{"default":"medium mathematical space"}},"key":"205F"},{"category":"Cf","mappings":{"default":{"default":"word joiner"}},"key":"2060"},{"category":"Cf","mappings":{"default":{"default":"of","alternative":"function application"}},"key":"2061"},{"category":"Cf","mappings":{"default":{"default":"times","alternative":"invisible times"}},"key":"2062"},{"category":"Cf","mappings":{"default":{"default":"separator","alternative":"invisible separator"}},"key":"2063"},{"category":"Cf","mappings":{"default":{"default":"plus","alternative":"invisible plus"}},"key":"2064"},{"category":"Cf","mappings":{"default":{"default":"inhibit symmetric swapping"}},"key":"206A"},{"category":"Cf","mappings":{"default":{"default":"activate symmetric swapping"}},"key":"206B"},{"category":"Cf","mappings":{"default":{"default":"national digit shapes"}},"key":"206E"},{"category":"Cf","mappings":{"default":{"default":"nominal digit shapes"}},"key":"206F"},{"category":"Cf","mappings":{"default":{"default":"zero width no break space","alternative":"byte order mark"}},"key":"FEFF"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation anchor"}},"key":"FFF9"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation separator"}},"key":"FFFA"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation terminator"}},"key":"FFFB"}]
 ,
-"en/math_symbols.js": 
-[{"locale":"en"},{"category":"Po","mappings":{"default":{"default":"factorial operator","alternative":"exclamation mark","short":"factorial"},"mathspeak":{"default":"exclamation-mark"}},"key":"0021"},{"category":"Po","mappings":{"default":{"default":"quotation mark"},"mathspeak":{"default":"quotation-mark"}},"key":"0022"},{"category":"Po","mappings":{"default":{"default":"number sign","alternative":"hash","short":"number"},"mathspeak":{"default":"number-sign","brief":"num-sign","sbrief":"num-sign"}},"key":"0023"},{"category":"Sc","mappings":{"default":{"default":"dollar sign","short":"dollar"},"mathspeak":{"default":"dollar-sign"}},"key":"0024"},{"category":"Po","mappings":{"default":{"default":"percent sign","short":"percent"},"mathspeak":{"default":"percent-sign"}},"key":"0025"},{"category":"Po","mappings":{"default":{"default":"ampersand"}},"key":"0026"},{"category":"Po","mappings":{"default":{"default":"apostrophe","alternative":"apostrophe quote"},"mathspeak":{"default":"prime"}},"key":"0027"},{"category":"Po","mappings":{"default":{"default":"asterisk"}},"key":"002A"},{"category":"Sm","mappings":{"default":{"default":"plus sign","short":"plus"}},"key":"002B"},{"category":"Po","mappings":{"default":{"default":"comma"}},"key":"002C"},{"category":"Pd","mappings":{"default":{"default":"hyphen minus","short":"minus"},"mathspeak":{"default":"hyphen"}},"key":"002D"},{"category":"Po","mappings":{"default":{"default":"full stop","alternative":"period"},"mathspeak":{"default":"period"}},"key":"002E"},{"category":"Po","mappings":{"default":{"default":"solidus","alternative":"slash"},"mathspeak":{"default":"slash"},"emacspeak":{"default":"slash"}},"key":"002F"},{"category":"Po","mappings":{"default":{"default":"colon"}},"key":"003A"},{"category":"Po","mappings":{"default":{"default":"semicolon"}},"key":"003B"},{"category":"Sm","mappings":{"default":{"default":"less than sign","short":"less than"},"mathspeak":{"default":"less-than"}},"key":"003C"},{"category":"Sm","mappings":{"default":{"default":"equals sign","short":"equals"}},"key":"003D"},{"category":"Sm","mappings":{"default":{"default":"greater than sign","short":"greater than"},"mathspeak":{"default":"greater-than"}},"key":"003E"},{"category":"Po","mappings":{"default":{"default":"question mark"},"mathspeak":{"default":"question-mark"}},"key":"003F"},{"category":"Po","mappings":{"default":{"default":"commercial at","short":"at"},"mathspeak":{"default":"commercial-at"}},"key":"0040"},{"category":"Po","mappings":{"default":{"default":"reverse solidus","alternative":"backslash"},"mathspeak":{"default":"reverse-solidus"}},"key":"005C"},{"category":"Sk","mappings":{"default":{"default":"circumflex accent","alternative":"spacing circumflex","short":"hat"},"mathspeak":{"default":"caret"}},"key":"005E"},{"category":"Pc","mappings":{"default":{"default":"low line","alternative":"spacing underscore"},"mathspeak":{"default":"bar"}},"key":"005F"},{"category":"Sk","mappings":{"default":{"default":"grave accent","alternative":"spacing grave","short":"grave"},"mathspeak":{"default":"grave"}},"key":"0060"},{"category":"Sm","mappings":{"default":{"default":"vertical line","alternative":"vertical bar"},"mathspeak":{"default":"vertical-bar"}},"key":"007C"},{"category":"Sm","mappings":{"default":{"default":"tilde"}},"key":"007E"},{"category":"Po","mappings":{"default":{"default":"inverted exclamation mark"},"mathspeak":{"default":"inverted-exclamation-mark"}},"key":"00A1"},{"category":"Sc","mappings":{"default":{"default":"cent sign","short":"cent"},"mathspeak":{"default":"cent-sign"}},"key":"00A2"},{"category":"Sc","mappings":{"default":{"default":"pound sign","short":"pound"},"mathspeak":{"default":"pound-sign"}},"key":"00A3"},{"category":"Sc","mappings":{"default":{"default":"currency sign","short":"currency"},"mathspeak":{"default":"currency-sign"}},"key":"00A4"},{"category":"Sc","mappings":{"default":{"default":"yen sign","short":"yen"},"mathspeak":{"default":"yen-sign"}},"key":"00A5"},{"category":"So","mappings":{"default":{"default":"broken bar","alternative":"broken vertical bar"},"mathspeak":{"default":"broken-vertical-bar"}},"key":"00A6"},{"category":"Po","mappings":{"default":{"default":"section sign","short":"section"},"mathspeak":{"default":"section-sign"}},"key":"00A7"},{"category":"Sk","mappings":{"default":{"default":"diaeresis","alternative":"spacing diaeresis","short":"double dot"},"mathspeak":{"default":"two-dots"}},"key":"00A8"},{"category":"So","mappings":{"default":{"default":"copyright sign","short":"copyright"},"mathspeak":{"default":"copyright-sign"}},"key":"00A9"},{"category":"Lo","mappings":{"default":{"default":"feminine ordinal indicator"},"mathspeak":{"default":"feminine-ordinal-indicator"}},"key":"00AA"},{"category":"Pi","mappings":{"default":{"default":"left pointing double angle quotation mark","alternative":"left pointing guillemet"},"mathspeak":{"default":"left-pointing-guillemet"}},"key":"00AB"},{"category":"Sm","mappings":{"default":{"default":"not sign","short":"not"},"mathspeak":{"default":"not-sign"}},"key":"00AC"},{"category":"So","mappings":{"default":{"default":"registered sign","alternative":"registered trade mark sign","short":"registered"},"mathspeak":{"default":"registered-trade-mark-sign"}},"key":"00AE"},{"category":"Sk","mappings":{"default":{"default":"macron","alternative":"spacing macron"},"mathspeak":{"default":"bar"}},"key":"00AF"},{"category":"So","mappings":{"default":{"default":"degree sign","short":"degree"},"mathspeak":{"default":"degree"}},"key":"00B0"},{"category":"Sm","mappings":{"default":{"default":"plus minus sign","alternative":"plus or minus sign","short":"plus minus"},"mathspeak":{"default":"plus-or-minus"}},"key":"00B1"},{"category":"Sk","mappings":{"default":{"default":"acute accent","alternative":"spacing acute","short":"acute"},"mathspeak":{"default":"acute"}},"key":"00B4"},{"category":"Ll","mappings":{"default":{"default":"micro sign","short":"micro"},"mathspeak":{"default":"micro-sign"}},"key":"00B5"},{"category":"Po","mappings":{"default":{"default":"pilcrow sign","alternative":"paragraph sign","short":"pilcrow"},"mathspeak":{"default":"paragraph-sign"}},"key":"00B6"},{"category":"Po","mappings":{"default":{"default":"middle dot"},"mathspeak":{"default":"dot"}},"key":"00B7"},{"category":"Sk","mappings":{"default":{"default":"cedilla","alternative":"spacing cedilla"},"mathspeak":{"default":"cedilla"}},"key":"00B8"},{"category":"Lo","mappings":{"default":{"default":"masculine ordinal indicator"},"mathspeak":{"default":"masculine-ordinal-indicator"}},"key":"00BA"},{"category":"Pf","mappings":{"default":{"default":"right pointing double angle quotation mark","alternative":"right pointing guillemet"},"mathspeak":{"default":"right-pointing-guillemet"}},"key":"00BB"},{"category":"Po","mappings":{"default":{"default":"inverted question mark"},"mathspeak":{"default":"inverted-question-mark"}},"key":"00BF"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign","short":"multiplication"},"mathspeak":{"default":"times"}},"key":"00D7"},{"category":"Sm","mappings":{"default":{"default":"division sign","short":"division"},"mathspeak":{"default":"division-sign"}},"key":"00F7"},{"category":"Sk","mappings":{"default":{"default":"breve","alternative":"spacing breve"},"mathspeak":{"default":"breve"}},"key":"02D8"},{"category":"Sk","mappings":{"default":{"default":"dot above","alternative":"spacing dot above"},"mathspeak":{"default":"dot"}},"key":"02D9"},{"category":"Sk","mappings":{"default":{"default":"ring above","alternative":"spacing ring above"},"mathspeak":{"default":"ring-above"}},"key":"02DA"},{"category":"Sk","mappings":{"default":{"default":"ogonek","alternative":"spacing ogonek"},"mathspeak":{"default":"ogonek"}},"key":"02DB"},{"category":"Sk","mappings":{"default":{"default":"small tilde","alternative":"spacing tilde"},"mathspeak":{"default":"tilde"}},"key":"02DC"},{"category":"Sk","mappings":{"default":{"default":"double acute accent","alternative":"spacing double acute"},"mathspeak":{"default":"double-acute"}},"key":"02DD"},{"category":"Pd","mappings":{"default":{"default":"hyphen"}},"key":"2010"},{"category":"Pd","mappings":{"default":{"default":"non breaking hyphen"},"mathspeak":{"default":"non-breaking-hyphen"}},"key":"2011"},{"category":"Pd","mappings":{"default":{"default":"figure dash"},"mathspeak":{"default":"figure-dash"}},"key":"2012"},{"category":"Pd","mappings":{"default":{"default":"en dash"},"mathspeak":{"default":"en-dash"}},"key":"2013"},{"category":"Pd","mappings":{"default":{"default":"em dash"},"mathspeak":{"default":"em-dash"}},"key":"2014"},{"category":"Pd","mappings":{"default":{"default":"horizontal bar","alternative":"quotation dash"},"mathspeak":{"default":"quotation-dash"}},"key":"2015"},{"category":"Po","mappings":{"default":{"default":"double vertical line","alternative":"double vertical bar"},"mathspeak":{"default":"double-vertical-bar"}},"key":"2016"},{"category":"Po","mappings":{"default":{"default":"double low line","alternative":"spacing double underscore"},"mathspeak":{"default":"double-underscore"}},"key":"2017"},{"category":"Pi","mappings":{"default":{"default":"left single quotation mark","alternative":"single turned comma quotation mark"},"mathspeak":{"default":"single-turned-comma-quotation-mark"}},"key":"2018"},{"category":"Pf","mappings":{"default":{"default":"right single quotation mark","alternative":"single comma quotation mark"},"mathspeak":{"default":"single-comma-quotation-mark"}},"key":"2019"},{"category":"Ps","mappings":{"default":{"default":"single low 9 quotation mark","alternative":"low single comma quotation mark"},"mathspeak":{"default":"low-single-comma-quotation-mark"}},"key":"201A"},{"category":"Pi","mappings":{"default":{"default":"single high reversed 9 quotation mark","alternative":"single reversed comma quotation mark"},"mathspeak":{"default":"single-reversed-comma-quotation-mark"}},"key":"201B"},{"category":"Pi","mappings":{"default":{"default":"left double quotation mark","alternative":"double turned comma quotation mark"},"mathspeak":{"default":"double-turned-comma-quotation-mark"}},"key":"201C"},{"category":"Pf","mappings":{"default":{"default":"right double quotation mark","alternative":"double comma quotation mark"},"mathspeak":{"default":"double-comma-quotation-mark"}},"key":"201D"},{"category":"Ps","mappings":{"default":{"default":"double low 9 quotation mark","alternative":"low double comma quotation mark"},"mathspeak":{"default":"low-double-comma-quotation-mark"}},"key":"201E"},{"category":"Pi","mappings":{"default":{"default":"double high reversed 9 quotation mark","alternative":"double reversed comma quotation mark"},"mathspeak":{"default":"double-reversed-comma-quotation-mark"}},"key":"201F"},{"category":"Po","mappings":{"default":{"default":"dagger"}},"key":"2020"},{"category":"Po","mappings":{"default":{"default":"double dagger"},"mathspeak":{"default":"double-dagger"}},"key":"2021"},{"category":"Po","mappings":{"default":{"default":"bullet"}},"key":"2022"},{"category":"Po","mappings":{"default":{"default":"triangular bullet"},"mathspeak":{"default":"triangular-bullet"}},"key":"2023"},{"category":"Po","mappings":{"default":{"default":"one dot leader"},"mathspeak":{"default":"one-dot-leader"}},"key":"2024"},{"category":"Po","mappings":{"default":{"default":"two dot leader"},"mathspeak":{"default":"two-dot-leader"}},"key":"2025"},{"category":"Po","mappings":{"default":{"default":"horizontal ellipsis"},"mathspeak":{"default":"ellipsis"}},"key":"2026"},{"category":"Po","mappings":{"default":{"default":"hyphenation point"},"mathspeak":{"default":"hyphenation-point"}},"key":"2027"},{"category":"Po","mappings":{"default":{"default":"per mille sign","short":"per mille"},"mathspeak":{"default":"per-mille"}},"key":"2030"},{"category":"Po","mappings":{"default":{"default":"per ten thousand sign","short":"per ten thousand"},"mathspeak":{"default":"per-ten-thousand"}},"key":"2031"},{"category":"Po","mappings":{"default":{"default":"prime"}},"key":"2032"},{"category":"Po","mappings":{"default":{"default":"double prime"},"mathspeak":{"default":"double-prime"}},"key":"2033"},{"category":"Po","mappings":{"default":{"default":"triple prime"},"mathspeak":{"default":"triple-prime"}},"key":"2034"},{"category":"Po","mappings":{"default":{"default":"reversed prime"},"mathspeak":{"default":"reversed-prime"}},"key":"2035"},{"category":"Po","mappings":{"default":{"default":"reversed double prime"},"mathspeak":{"default":"reversed-double-prime"}},"key":"2036"},{"category":"Po","mappings":{"default":{"default":"reversed triple prime"},"mathspeak":{"default":"reversed-triple-prime"}},"key":"2037"},{"category":"Po","mappings":{"default":{"default":"caret"}},"key":"2038"},{"category":"Pi","mappings":{"default":{"default":"single left pointing angle quotation mark","alternative":"left pointing single guillemet"},"mathspeak":{"default":"left-pointing-single-guillemet"}},"key":"2039"},{"category":"Pf","mappings":{"default":{"default":"single right pointing angle quotation mark","alternative":"right pointing single guillemet"},"mathspeak":{"default":"right-pointing-single-guillemet"}},"key":"203A"},{"category":"Po","mappings":{"default":{"default":"reference mark"},"mathspeak":{"default":"reference-mark"}},"key":"203B"},{"category":"Po","mappings":{"default":{"default":"double exclamation mark"},"mathspeak":{"default":"double-exclamation-mark"}},"key":"203C"},{"category":"Po","mappings":{"default":{"default":"interrobang"}},"key":"203D"},{"category":"Po","mappings":{"default":{"default":"overline","alternative":"spacing overscore"},"mathspeak":{"default":"bar"}},"key":"203E"},{"category":"Pc","mappings":{"default":{"default":"undertie"}},"key":"203F"},{"category":"Pc","mappings":{"default":{"default":"character tie"},"mathspeak":{"default":"character-tie"}},"key":"2040"},{"category":"Po","mappings":{"default":{"default":"caret insertion point"},"mathspeak":{"default":"caret-insertion-point"}},"key":"2041"},{"category":"Po","mappings":{"default":{"default":"asterism"}},"key":"2042"},{"category":"Po","mappings":{"default":{"default":"hyphen bullet"},"mathspeak":{"default":"hyphen-bullet"}},"key":"2043"},{"category":"Sm","mappings":{"default":{"default":"fraction slash"},"mathspeak":{"default":"fraction-slash"}},"key":"2044"},{"category":"Po","mappings":{"default":{"default":"double question mark"},"mathspeak":{"default":"double-question-mark"}},"key":"2047"},{"category":"Po","mappings":{"default":{"default":"question exclamation mark"},"mathspeak":{"default":"question-exclamation-mark"}},"key":"2048"},{"category":"Po","mappings":{"default":{"default":"exclamation question mark"},"mathspeak":{"default":"exclamation-question-mark"}},"key":"2049"},{"category":"Po","mappings":{"default":{"default":"reversed pilcrow sign","short":"reversed pilcrow"},"mathspeak":{"default":"reversed-pilcrow"}},"key":"204B"},{"category":"Po","mappings":{"default":{"default":"black leftwards bullet"},"mathspeak":{"default":"black-leftwards-bullet"}},"key":"204C"},{"category":"Po","mappings":{"default":{"default":"black rightwards bullet"},"mathspeak":{"default":"black-rightwards-bullet"}},"key":"204D"},{"category":"Po","mappings":{"default":{"default":"low asterisk"},"mathspeak":{"default":"low-asterisk"}},"key":"204E"},{"category":"Po","mappings":{"default":{"default":"reversed semicolon"},"mathspeak":{"default":"reversed-semicolon"}},"key":"204F"},{"category":"Po","mappings":{"default":{"default":"close up"},"mathspeak":{"default":"close-up"}},"key":"2050"},{"category":"Po","mappings":{"default":{"default":"two asterisks aligned vertically"},"mathspeak":{"default":"two-asterisks-aligned-vertically"}},"key":"2051"},{"category":"Sm","mappings":{"default":{"default":"commercial minus sign","short":"commercial minus"},"mathspeak":{"default":"commercial-minus"}},"key":"2052"},{"category":"Po","mappings":{"default":{"default":"swung dash"},"mathspeak":{"default":"swung-dash"}},"key":"2053"},{"category":"Pc","mappings":{"default":{"default":"inverted undertie"},"mathspeak":{"default":"inverted-undertie"}},"key":"2054"},{"category":"Po","mappings":{"default":{"default":"flower punctuation mark"},"mathspeak":{"default":"flower-punctuation-mark"}},"key":"2055"},{"category":"Po","mappings":{"default":{"default":"three dot punctuation"},"mathspeak":{"default":"three-dot-punctuation"}},"key":"2056"},{"category":"Po","mappings":{"default":{"default":"quadruple prime"},"mathspeak":{"default":"quadruple-prime"}},"key":"2057"},{"category":"Po","mappings":{"default":{"default":"four dot punctuation"},"mathspeak":{"default":"four-dot-punctuation"}},"key":"2058"},{"category":"Po","mappings":{"default":{"default":"five dot punctuation"},"mathspeak":{"default":"five-dot-punctuation"}},"key":"2059"},{"category":"Po","mappings":{"default":{"default":"two dot punctuation"},"mathspeak":{"default":"two-dot-punctuation"}},"key":"205A"},{"category":"Po","mappings":{"default":{"default":"four dot mark"},"mathspeak":{"default":"four-dot-mark"}},"key":"205B"},{"category":"Po","mappings":{"default":{"default":"dotted cross"},"mathspeak":{"default":"dotted-cross"}},"key":"205C"},{"category":"Po","mappings":{"default":{"default":"tricolon"}},"key":"205D"},{"category":"Po","mappings":{"default":{"default":"vertical four dots"},"mathspeak":{"default":"vertical-four-dots"}},"key":"205E"},{"category":"Sm","mappings":{"default":{"default":"superscript plus sign","short":"superscript plus"},"mathspeak":{"default":"superscript-plus"}},"key":"207A"},{"category":"Sm","mappings":{"default":{"default":"superscript minus","alternative":"superscript hyphen minus"},"mathspeak":{"default":"superscript-hyphen-minus"}},"key":"207B"},{"category":"Sm","mappings":{"default":{"default":"superscript equals sign","short":"superscript equals"},"mathspeak":{"default":"superscript-equals"}},"key":"207C"},{"category":"Ps","mappings":{"default":{"default":"superscript left parenthesis","alternative":"superscript opening parenthesis"},"mathspeak":{"default":"superscript-opening-parenthesis"}},"key":"207D"},{"category":"Pe","mappings":{"default":{"default":"superscript right parenthesis","alternative":"superscript closing parenthesis"},"mathspeak":{"default":"superscript-closing-parenthesis"}},"key":"207E"},{"category":"Sm","mappings":{"default":{"default":"subscript plus sign","short":"subscript plus"},"mathspeak":{"default":"subscript-plus"}},"key":"208A"},{"category":"Sm","mappings":{"default":{"default":"subscript minus","alternative":"subscript hyphen minus"},"mathspeak":{"default":"subscript-hyphen-minus"}},"key":"208B"},{"category":"Sm","mappings":{"default":{"default":"subscript equals sign","short":"subscript equals"},"mathspeak":{"default":"subscript-equals"}},"key":"208C"},{"category":"Ps","mappings":{"default":{"default":"subscript left parenthesis","alternative":"subscript opening parenthesis"},"mathspeak":{"default":"subscript-opening-parenthesis"}},"key":"208D"},{"category":"Pe","mappings":{"default":{"default":"subscript right parenthesis","alternative":"subscript closing parenthesis"},"mathspeak":{"default":"subscript-closing-parenthesis"}},"key":"208E"},{"category":"So","mappings":{"default":{"default":"property line"},"mathspeak":{"default":"property-line"}},"key":"214A"},{"category":"Sm","mappings":{"default":{"default":"turned ampersand"},"mathspeak":{"default":"turned-ampersand"}},"key":"214B"},{"category":"So","mappings":{"default":{"default":"per sign","short":"per"},"mathspeak":{"default":"per-sign"}},"key":"214C"},{"category":"So","mappings":{"default":{"default":"aktieselskab"}},"key":"214D"},{"category":"Ll","mappings":{"default":{"default":"turned small f"},"mathspeak":{"default":"turned-small-f"}},"key":"214E"},{"category":"Sm","mappings":{"default":{"default":"for all"},"mathspeak":{"default":"for-all"}},"key":"2200"},{"category":"Sm","mappings":{"default":{"default":"complement"}},"key":"2201"},{"category":"Sm","mappings":{"default":{"default":"partial differential"},"mathspeak":{"default":"partial-differential"}},"key":"2202"},{"category":"Sm","mappings":{"default":{"default":"there exists"},"mathspeak":{"default":"there-exists"}},"key":"2203"},{"category":"Sm","mappings":{"default":{"default":"there does not exist"},"mathspeak":{"default":"there-does-not-exist"}},"key":"2204"},{"category":"Sm","mappings":{"default":{"default":"empty set"},"mathspeak":{"default":"empty-set"}},"key":"2205"},{"category":"Sm","mappings":{"default":{"default":"increment"}},"key":"2206"},{"category":"Sm","mappings":{"default":{"default":"nabla"}},"key":"2207"},{"category":"Sm","mappings":{"default":{"default":"element of"},"mathspeak":{"default":"element-of"}},"key":"2208"},{"category":"Sm","mappings":{"default":{"default":"not an element of"},"mathspeak":{"default":"not-an-element-of"}},"key":"2209"},{"category":"Sm","mappings":{"default":{"default":"small element of"},"mathspeak":{"default":"small-element-of"}},"key":"220A"},{"category":"Sm","mappings":{"default":{"default":"contains as member"},"mathspeak":{"default":"contains-as-member"}},"key":"220B"},{"category":"Sm","mappings":{"default":{"default":"does not contain as member"},"mathspeak":{"default":"does-not-contain-as-member"}},"key":"220C"},{"category":"Sm","mappings":{"default":{"default":"small contains as member"},"mathspeak":{"default":"small-contains-as-member"}},"key":"220D"},{"category":"Sm","mappings":{"default":{"default":"end of proof"},"mathspeak":{"default":"end-of-proof"}},"key":"220E"},{"category":"Sm","mappings":{"default":{"default":"n ary product"},"mathspeak":{"default":"product"}},"key":"220F"},{"category":"Sm","mappings":{"default":{"default":"n ary coproduct"},"mathspeak":{"default":"coproduct"}},"key":"2210"},{"category":"Sm","mappings":{"default":{"default":"n ary summation"},"mathspeak":{"default":"sigma-summation"}},"key":"2211"},{"category":"Sm","mappings":{"default":{"default":"minus sign","short":"minus"}},"key":"2212"},{"category":"Sm","mappings":{"default":{"default":"minus or plus sign","short":"minus or plus"},"mathspeak":{"default":"minus-or-plus"}},"key":"2213"},{"category":"Sm","mappings":{"default":{"default":"dot plus"},"mathspeak":{"default":"dot-plus"}},"key":"2214"},{"category":"Sm","mappings":{"default":{"default":"division slash"},"mathspeak":{"default":"division-slash"}},"key":"2215"},{"category":"Sm","mappings":{"default":{"default":"set minus"},"mathspeak":{"default":"set-minus"}},"key":"2216"},{"category":"Sm","mappings":{"default":{"default":"asterisk operator"},"mathspeak":{"default":"asterisk"}},"key":"2217"},{"category":"Sm","mappings":{"default":{"default":"ring operator"},"mathspeak":{"default":"ring"}},"key":"2218"},{"category":"Sm","mappings":{"default":{"default":"bullet operator"},"mathspeak":{"default":"bullet"}},"key":"2219"},{"category":"Sm","mappings":{"default":{"default":"square root"},"mathspeak":{"default":"square-root"}},"key":"221A"},{"category":"Sm","mappings":{"default":{"default":"cube root"},"mathspeak":{"default":"cube-root"}},"key":"221B"},{"category":"Sm","mappings":{"default":{"default":"fourth root"},"mathspeak":{"default":"fourth-root"}},"key":"221C"},{"category":"Sm","mappings":{"default":{"default":"proportional to"},"mathspeak":{"default":"proportional-to"}},"key":"221D"},{"category":"Sm","mappings":{"default":{"default":"infinity"}},"key":"221E"},{"category":"Sm","mappings":{"default":{"default":"right angle"},"mathspeak":{"default":"right-angle"}},"key":"221F"},{"category":"Sm","mappings":{"default":{"default":"angle"}},"key":"2220"},{"category":"Sm","mappings":{"default":{"default":"measured angle"},"mathspeak":{"default":"measured-angle"}},"key":"2221"},{"category":"Sm","mappings":{"default":{"default":"spherical angle"},"mathspeak":{"default":"spherical-angle"}},"key":"2222"},{"category":"Sm","mappings":{"default":{"default":"divides","short":"bar"}},"key":"2223"},{"category":"Sm","mappings":{"default":{"default":"does not divide"},"mathspeak":{"default":"does-not-divide"}},"key":"2224"},{"category":"Sm","mappings":{"default":{"default":"parallel to"},"mathspeak":{"default":"parallel-to"}},"key":"2225"},{"category":"Sm","mappings":{"default":{"default":"not parallel to"},"mathspeak":{"default":"not-parallel-to"}},"key":"2226"},{"category":"Sm","mappings":{"default":{"default":"logical and"},"mathspeak":{"default":"logical-and"}},"key":"2227"},{"category":"Sm","mappings":{"default":{"default":"logical or"},"mathspeak":{"default":"logical-or"}},"key":"2228"},{"category":"Sm","mappings":{"default":{"default":"intersection"}},"key":"2229"},{"category":"Sm","mappings":{"default":{"default":"union"}},"key":"222A"},{"category":"Sm","mappings":{"default":{"default":"integral"}},"key":"222B"},{"category":"Sm","mappings":{"default":{"default":"double integral"},"mathspeak":{"default":"double-integral"}},"key":"222C"},{"category":"Sm","mappings":{"default":{"default":"triple integral"},"mathspeak":{"default":"triple-integral"}},"key":"222D"},{"category":"Sm","mappings":{"default":{"default":"contour integral"},"mathspeak":{"default":"contour-integral"}},"key":"222E"},{"category":"Sm","mappings":{"default":{"default":"surface integral"},"mathspeak":{"default":"surface-integral"}},"key":"222F"},{"category":"Sm","mappings":{"default":{"default":"volume integral"},"mathspeak":{"default":"volume-integral"}},"key":"2230"},{"category":"Sm","mappings":{"default":{"default":"clockwise integral"},"mathspeak":{"default":"clockwise-integral"}},"key":"2231"},{"category":"Sm","mappings":{"default":{"default":"clockwise contour integral"},"mathspeak":{"default":"clockwise-contour-integral"}},"key":"2232"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise contour integral"},"mathspeak":{"default":"anticlockwise-contour-integral"}},"key":"2233"},{"category":"Sm","mappings":{"default":{"default":"therefore"}},"key":"2234"},{"category":"Sm","mappings":{"default":{"default":"because"}},"key":"2235"},{"category":"Sm","mappings":{"default":{"default":"ratio"}},"key":"2236"},{"category":"Sm","mappings":{"default":{"default":"proportion"}},"key":"2237"},{"category":"Sm","mappings":{"default":{"default":"dot minus"},"mathspeak":{"default":"dot-minus"}},"key":"2238"},{"category":"Sm","mappings":{"default":{"default":"excess"}},"key":"2239"},{"category":"Sm","mappings":{"default":{"default":"geometric proportion"},"mathspeak":{"default":"geometric-proportion"}},"key":"223A"},{"category":"Sm","mappings":{"default":{"default":"homothetic"}},"key":"223B"},{"category":"Sm","mappings":{"default":{"default":"tilde operator"},"mathspeak":{"default":"tilde"}},"key":"223C"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde"},"mathspeak":{"default":"reversed-tilde"}},"key":"223D"},{"category":"Sm","mappings":{"default":{"default":"inverted lazy s"},"mathspeak":{"default":"inverted-lazy-s"}},"key":"223E"},{"category":"Sm","mappings":{"default":{"default":"sine wave"},"mathspeak":{"default":"sine-wave"}},"key":"223F"},{"category":"Sm","mappings":{"default":{"default":"wreath product"},"mathspeak":{"default":"wreath-product"}},"key":"2240"},{"category":"Sm","mappings":{"default":{"default":"not tilde"},"mathspeak":{"default":"not-tilde"}},"key":"2241"},{"category":"Sm","mappings":{"default":{"default":"minus tilde"},"mathspeak":{"default":"minus-tilde"}},"key":"2242"},{"category":"Sm","mappings":{"default":{"default":"asymptotically equals"},"mathspeak":{"default":"asymptotically-equals"}},"key":"2243"},{"category":"Sm","mappings":{"default":{"default":"not asymptotically equals"},"mathspeak":{"default":"not-asymptotically-equals"}},"key":"2244"},{"category":"Sm","mappings":{"default":{"default":"approximately equals"},"mathspeak":{"default":"approximately-equals"}},"key":"2245"},{"category":"Sm","mappings":{"default":{"default":"approximately but not actually equals"},"mathspeak":{"default":"approximately-but-not-actually-equals"}},"key":"2246"},{"category":"Sm","mappings":{"default":{"default":"neither approximately nor actually equals"},"mathspeak":{"default":"neither-approximately-nor-actually-equals"}},"key":"2247"},{"category":"Sm","mappings":{"default":{"default":"almost equals"},"mathspeak":{"default":"almost-equals"}},"key":"2248"},{"category":"Sm","mappings":{"default":{"default":"not almost equals"},"mathspeak":{"default":"not-almost-equals"}},"key":"2249"},{"category":"Sm","mappings":{"default":{"default":"almost equal or equals"},"mathspeak":{"default":"almost-equal-or-equal-to"}},"key":"224A"},{"category":"Sm","mappings":{"default":{"default":"triple tilde"},"mathspeak":{"default":"triple-tilde"}},"key":"224B"},{"category":"Sm","mappings":{"default":{"default":"all equals"},"mathspeak":{"default":"all-equals"}},"key":"224C"},{"category":"Sm","mappings":{"default":{"default":"equivalent to"},"mathspeak":{"default":"equivalent-to"}},"key":"224D"},{"category":"Sm","mappings":{"default":{"default":"geometrically equivalent to"},"mathspeak":{"default":"geometrically-equivalent-to"}},"key":"224E"},{"category":"Sm","mappings":{"default":{"default":"difference between"},"mathspeak":{"default":"difference-between"}},"key":"224F"},{"category":"Sm","mappings":{"default":{"default":"approaches the limit"},"mathspeak":{"default":"approaches-the-limit"}},"key":"2250"},{"category":"Sm","mappings":{"default":{"default":"geometrically equals"},"mathspeak":{"default":"geometrically-equals"}},"key":"2251"},{"category":"Sm","mappings":{"default":{"default":"approximately equals or the image of"},"mathspeak":{"default":"approximately-equals-or-the-image-of"}},"key":"2252"},{"category":"Sm","mappings":{"default":{"default":"image of or approximately equals"},"mathspeak":{"default":"image-of-or-approximately-equals"}},"key":"2253"},{"category":"Sm","mappings":{"default":{"default":"colon equals","alternative":"colon equal"},"mathspeak":{"default":"colon-equal"}},"key":"2254"},{"category":"Sm","mappings":{"default":{"default":"equals colon","alternative":"equal colon"},"mathspeak":{"default":"equal-colon"}},"key":"2255"},{"category":"Sm","mappings":{"default":{"default":"ring in equals"},"mathspeak":{"default":"ring-in-equals"}},"key":"2256"},{"category":"Sm","mappings":{"default":{"default":"ring equals"},"mathspeak":{"default":"ring-equals"}},"key":"2257"},{"category":"Sm","mappings":{"default":{"default":"corresponds to"},"mathspeak":{"default":"corresponds-to"}},"key":"2258"},{"category":"Sm","mappings":{"default":{"default":"estimates"}},"key":"2259"},{"category":"Sm","mappings":{"default":{"default":"equiangular to"},"mathspeak":{"default":"equiangular-to"}},"key":"225A"},{"category":"Sm","mappings":{"default":{"default":"star equals"},"mathspeak":{"default":"star-equals"}},"key":"225B"},{"category":"Sm","mappings":{"default":{"default":"delta equals"},"mathspeak":{"default":"delta-equals"}},"key":"225C"},{"category":"Sm","mappings":{"default":{"default":"equals by definition"},"mathspeak":{"default":"equals-by-definition"}},"key":"225D"},{"category":"Sm","mappings":{"default":{"default":"measured by"},"mathspeak":{"default":"measured-by"}},"key":"225E"},{"category":"Sm","mappings":{"default":{"default":"questioned equals"},"mathspeak":{"default":"questioned-equals"}},"key":"225F"},{"category":"Sm","mappings":{"default":{"default":"not equals"},"mathspeak":{"default":"not-equals"}},"key":"2260"},{"category":"Sm","mappings":{"default":{"default":"identical to"},"mathspeak":{"default":"identical-to"}},"key":"2261"},{"category":"Sm","mappings":{"default":{"default":"not identical to"},"mathspeak":{"default":"not-identical-to"}},"key":"2262"},{"category":"Sm","mappings":{"default":{"default":"strictly equivalent to"},"mathspeak":{"default":"strictly-equivalent-to"}},"key":"2263"},{"category":"Sm","mappings":{"default":{"default":"less than or equals","alternative":"less than or equals"},"mathspeak":{"default":"less-than-or-equal-to"}},"key":"2264"},{"category":"Sm","mappings":{"default":{"default":"greater than or equals","alternative":"greater than or equals"},"mathspeak":{"default":"greater-than-or-equal-to"}},"key":"2265"},{"category":"Sm","mappings":{"default":{"default":"less than over equals","alternative":"less than over equals"},"mathspeak":{"default":"less-than-over-equals"}},"key":"2266"},{"category":"Sm","mappings":{"default":{"default":"greater than over equals","alternative":"greater than over equals"},"mathspeak":{"default":"greater-than-over-equals"}},"key":"2267"},{"category":"Sm","mappings":{"default":{"default":"less than but not equals","alternative":"less than but not equals"},"mathspeak":{"default":"less-than-but-not-equals"}},"key":"2268"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equals","alternative":"greater than but not equals"},"mathspeak":{"default":"greater-than-but-not-equals"}},"key":"2269"},{"category":"Sm","mappings":{"default":{"default":"much less than","alternative":"much less than"},"mathspeak":{"default":"much-less-than"}},"key":"226A"},{"category":"Sm","mappings":{"default":{"default":"much greater than","alternative":"much greater than"},"mathspeak":{"default":"much-greater-than"}},"key":"226B"},{"category":"Sm","mappings":{"default":{"default":"between"}},"key":"226C"},{"category":"Sm","mappings":{"default":{"default":"not equivalent to"},"mathspeak":{"default":"not-equivalent-to"}},"key":"226D"},{"category":"Sm","mappings":{"default":{"default":"not less than","alternative":"not less than"},"mathspeak":{"default":"not-less-than"}},"key":"226E"},{"category":"Sm","mappings":{"default":{"default":"not greater than","alternative":"not greater than"},"mathspeak":{"default":"not-greater-than"}},"key":"226F"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equals","alternative":"neither less than nor equals"},"mathspeak":{"default":"neither-less-than-nor-equal-to"}},"key":"2270"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equals","alternative":"neither greater than nor equals"},"mathspeak":{"default":"neither-greater-than-nor-equal-to"}},"key":"2271"},{"category":"Sm","mappings":{"default":{"default":"less than or equivalent to","alternative":"less than or equivalent to"},"mathspeak":{"default":"less-than-or-equivalent-to"}},"key":"2272"},{"category":"Sm","mappings":{"default":{"default":"greater than or equivalent to","alternative":"greater than or equivalent to"},"mathspeak":{"default":"greater-than-or-equivalent-to"}},"key":"2273"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor equivalent to","alternative":"neither less than nor equivalent to"},"mathspeak":{"default":"neither-less-than-nor-equivalent-to"}},"key":"2274"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor equivalent to","alternative":"neither greater than nor equivalent to"},"mathspeak":{"default":"neither-greater-than-nor-equivalent-to"}},"key":"2275"},{"category":"Sm","mappings":{"default":{"default":"less than or greater than","alternative":"less than or greater than"},"mathspeak":{"default":"less-than-or-greater-than"}},"key":"2276"},{"category":"Sm","mappings":{"default":{"default":"greater than or less than","alternative":"greater than or less than"},"mathspeak":{"default":"greater-than-or-less-than"}},"key":"2277"},{"category":"Sm","mappings":{"default":{"default":"neither less than nor greater than","alternative":"neither less than nor greater than"},"mathspeak":{"default":"neither-less-than-nor-greater-than"}},"key":"2278"},{"category":"Sm","mappings":{"default":{"default":"neither greater than nor less than","alternative":"neither greater than nor less than"},"mathspeak":{"default":"neither-greater-than-nor-less-than"}},"key":"2279"},{"category":"Sm","mappings":{"default":{"default":"precedes"}},"key":"227A"},{"category":"Sm","mappings":{"default":{"default":"succeeds"}},"key":"227B"},{"category":"Sm","mappings":{"default":{"default":"precedes or equals"},"mathspeak":{"default":"precedes-or-equal-to"}},"key":"227C"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equals"},"mathspeak":{"default":"succeeds-or-equal-to"}},"key":"227D"},{"category":"Sm","mappings":{"default":{"default":"precedes or equivalent to"},"mathspeak":{"default":"precedes-or-equivalent-to"}},"key":"227E"},{"category":"Sm","mappings":{"default":{"default":"succeeds or equivalent to"},"mathspeak":{"default":"succeeds-or-equivalent-to"}},"key":"227F"},{"category":"Sm","mappings":{"default":{"default":"does not precede"},"mathspeak":{"default":"does-not-precede"}},"key":"2280"},{"category":"Sm","mappings":{"default":{"default":"does not succeed"},"mathspeak":{"default":"does-not-succeed"}},"key":"2281"},{"category":"Sm","mappings":{"default":{"default":"subset of"},"mathspeak":{"default":"subset-of"}},"key":"2282"},{"category":"Sm","mappings":{"default":{"default":"superset of"},"mathspeak":{"default":"superset-of"}},"key":"2283"},{"category":"Sm","mappings":{"default":{"default":"not a subset of"},"mathspeak":{"default":"not-a-subset-of"}},"key":"2284"},{"category":"Sm","mappings":{"default":{"default":"not a superset of"},"mathspeak":{"default":"not-a-superset-of"}},"key":"2285"},{"category":"Sm","mappings":{"default":{"default":"subset of or equals"},"mathspeak":{"default":"subset-of-or-equal-to"}},"key":"2286"},{"category":"Sm","mappings":{"default":{"default":"superset of or equals"},"mathspeak":{"default":"superset-of-or-equal-to"}},"key":"2287"},{"category":"Sm","mappings":{"default":{"default":"neither a subset of nor equals"},"mathspeak":{"default":"neither-a-subset-of-nor-equal-to"}},"key":"2288"},{"category":"Sm","mappings":{"default":{"default":"neither a superset of nor equals"},"mathspeak":{"default":"neither-a-superset-of-nor-equal-to"}},"key":"2289"},{"category":"Sm","mappings":{"default":{"default":"subset of with not equals","alternative":"subset of or not equals","short":"subset of or not equals"},"mathspeak":{"default":"subset-of-or-not-equals"}},"key":"228A"},{"category":"Sm","mappings":{"default":{"default":"superset of with not equals","alternative":"superset of or not equals","short":"superset of or not equals"},"mathspeak":{"default":"superset-of-or-not-equals"}},"key":"228B"},{"category":"Sm","mappings":{"default":{"default":"multiset"}},"key":"228C"},{"category":"Sm","mappings":{"default":{"default":"multiset multiplication"},"mathspeak":{"default":"multiset-multiplication"}},"key":"228D"},{"category":"Sm","mappings":{"default":{"default":"multiset union"},"mathspeak":{"default":"multiset-union"}},"key":"228E"},{"category":"Sm","mappings":{"default":{"default":"square image of"},"mathspeak":{"default":"square-image-of"}},"key":"228F"},{"category":"Sm","mappings":{"default":{"default":"square original of"},"mathspeak":{"default":"square-original-of"}},"key":"2290"},{"category":"Sm","mappings":{"default":{"default":"square image of or equals"},"mathspeak":{"default":"square-image-of-or-equal-to"}},"key":"2291"},{"category":"Sm","mappings":{"default":{"default":"square original of or equals"},"mathspeak":{"default":"square-original-of-or-equal-to"}},"key":"2292"},{"category":"Sm","mappings":{"default":{"default":"square cap"},"mathspeak":{"default":"square-cap"}},"key":"2293"},{"category":"Sm","mappings":{"default":{"default":"square cup"},"mathspeak":{"default":"square-cup"}},"key":"2294"},{"category":"Sm","mappings":{"default":{"default":"circled plus"},"mathspeak":{"default":"circled-plus"}},"key":"2295"},{"category":"Sm","mappings":{"default":{"default":"circled minus"},"mathspeak":{"default":"circled-minus"}},"key":"2296"},{"category":"Sm","mappings":{"default":{"default":"circled times"},"mathspeak":{"default":"circled-times"}},"key":"2297"},{"category":"Sm","mappings":{"default":{"default":"circled division slash"},"mathspeak":{"default":"circled-division-slash"}},"key":"2298"},{"category":"Sm","mappings":{"default":{"default":"circled dot operator"},"mathspeak":{"default":"circled-dot"}},"key":"2299"},{"category":"Sm","mappings":{"default":{"default":"circled ring operator"},"mathspeak":{"default":"circled-ring"}},"key":"229A"},{"category":"Sm","mappings":{"default":{"default":"circled asterisk operator"},"mathspeak":{"default":"circled-asterisk"}},"key":"229B"},{"category":"Sm","mappings":{"default":{"default":"circled equals"},"mathspeak":{"default":"circled-equals"}},"key":"229C"},{"category":"Sm","mappings":{"default":{"default":"circled dash"},"mathspeak":{"default":"circled-dash"}},"key":"229D"},{"category":"Sm","mappings":{"default":{"default":"squared plus"},"mathspeak":{"default":"squared-plus"}},"key":"229E"},{"category":"Sm","mappings":{"default":{"default":"squared minus"},"mathspeak":{"default":"squared-minus"}},"key":"229F"},{"category":"Sm","mappings":{"default":{"default":"squared times"},"mathspeak":{"default":"squared-times"}},"key":"22A0"},{"category":"Sm","mappings":{"default":{"default":"squared dot operator"},"mathspeak":{"default":"squared-dot"}},"key":"22A1"},{"category":"Sm","mappings":{"default":{"default":"right tack"},"mathspeak":{"default":"right-tack"}},"key":"22A2"},{"category":"Sm","mappings":{"default":{"default":"left tack"},"mathspeak":{"default":"left-tack"}},"key":"22A3"},{"category":"Sm","mappings":{"default":{"default":"down tack"},"mathspeak":{"default":"down-tack"}},"key":"22A4"},{"category":"Sm","mappings":{"default":{"default":"up tack"},"mathspeak":{"default":"up-tack"}},"key":"22A5"},{"category":"Sm","mappings":{"default":{"default":"assertion"}},"key":"22A6"},{"category":"Sm","mappings":{"default":{"default":"models"}},"key":"22A7"},{"category":"Sm","mappings":{"default":{"default":"true"}},"key":"22A8"},{"category":"Sm","mappings":{"default":{"default":"forces"}},"key":"22A9"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar right turnstile"},"mathspeak":{"default":"triple-vertical-bar-right-turnstile"}},"key":"22AA"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double right turnstile"},"mathspeak":{"default":"double-vertical-bar-double-right-turnstile"}},"key":"22AB"},{"category":"Sm","mappings":{"default":{"default":"does not prove"},"mathspeak":{"default":"does-not-prove"}},"key":"22AC"},{"category":"Sm","mappings":{"default":{"default":"not true"},"mathspeak":{"default":"not-true"}},"key":"22AD"},{"category":"Sm","mappings":{"default":{"default":"does not force"},"mathspeak":{"default":"does-not-force"}},"key":"22AE"},{"category":"Sm","mappings":{"default":{"default":"negated double vertical bar double right turnstile"},"mathspeak":{"default":"negated-double-vertical-bar-double-right-turnstile"}},"key":"22AF"},{"category":"Sm","mappings":{"default":{"default":"precedes under relation"},"mathspeak":{"default":"precedes-under-relation"}},"key":"22B0"},{"category":"Sm","mappings":{"default":{"default":"succeeds under relation"},"mathspeak":{"default":"succeeds-under-relation"}},"key":"22B1"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of"},"mathspeak":{"default":"normal-subgroup-of"}},"key":"22B2"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup"},"mathspeak":{"default":"contains-as-normal-subgroup"}},"key":"22B3"},{"category":"Sm","mappings":{"default":{"default":"normal subgroup of or equals"},"mathspeak":{"default":"normal-subgroup-of-or-equal-to"}},"key":"22B4"},{"category":"Sm","mappings":{"default":{"default":"contains as normal subgroup or equals"},"mathspeak":{"default":"contains-as-normal-subgroup-or-equal-to"}},"key":"22B5"},{"category":"Sm","mappings":{"default":{"default":"original of"},"mathspeak":{"default":"original-of"}},"key":"22B6"},{"category":"Sm","mappings":{"default":{"default":"image of"},"mathspeak":{"default":"image-of"}},"key":"22B7"},{"category":"Sm","mappings":{"default":{"default":"multimap"}},"key":"22B8"},{"category":"Sm","mappings":{"default":{"default":"hermitian conjugate matrix"},"mathspeak":{"default":"hermitian-conjugate-matrix"}},"key":"22B9"},{"category":"Sm","mappings":{"default":{"default":"intercalate"}},"key":"22BA"},{"category":"Sm","mappings":{"default":{"default":"xor"}},"key":"22BB"},{"category":"Sm","mappings":{"default":{"default":"nand"}},"key":"22BC"},{"category":"Sm","mappings":{"default":{"default":"nor"}},"key":"22BD"},{"category":"Sm","mappings":{"default":{"default":"right triangle"},"mathspeak":{"default":"right-triangle"}},"key":"22BF"},{"category":"Sm","mappings":{"default":{"default":"n ary logical and"},"mathspeak":{"default":"logical-and"}},"key":"22C0"},{"category":"Sm","mappings":{"default":{"default":"n ary logical or"},"mathspeak":{"default":"logical-or"}},"key":"22C1"},{"category":"Sm","mappings":{"default":{"default":"n ary intersection"},"mathspeak":{"default":"intersection"}},"key":"22C2"},{"category":"Sm","mappings":{"default":{"default":"n ary union"},"mathspeak":{"default":"union"}},"key":"22C3"},{"category":"Sm","mappings":{"default":{"default":"diamond operator"},"mathspeak":{"default":"diamond"}},"key":"22C4"},{"category":"Sm","mappings":{"default":{"default":"dot operator"},"mathspeak":{"default":"dot"}},"key":"22C5"},{"category":"Sm","mappings":{"default":{"default":"star operator"},"mathspeak":{"default":"star"}},"key":"22C6"},{"category":"Sm","mappings":{"default":{"default":"division times"},"mathspeak":{"default":"division-times"}},"key":"22C7"},{"category":"Sm","mappings":{"default":{"default":"bowtie"}},"key":"22C8"},{"category":"Sm","mappings":{"default":{"default":"left normal factor semidirect product"},"mathspeak":{"default":"left-normal-factor-semidirect-product"}},"key":"22C9"},{"category":"Sm","mappings":{"default":{"default":"right normal factor semidirect product"},"mathspeak":{"default":"right-normal-factor-semidirect-product"}},"key":"22CA"},{"category":"Sm","mappings":{"default":{"default":"left semidirect product"},"mathspeak":{"default":"left-semidirect-product"}},"key":"22CB"},{"category":"Sm","mappings":{"default":{"default":"right semidirect product"},"mathspeak":{"default":"right-semidirect-product"}},"key":"22CC"},{"category":"Sm","mappings":{"default":{"default":"reversed tilde equals"},"mathspeak":{"default":"reversed-tilde-equals"}},"key":"22CD"},{"category":"Sm","mappings":{"default":{"default":"curly logical or"},"mathspeak":{"default":"curly-logical-or"}},"key":"22CE"},{"category":"Sm","mappings":{"default":{"default":"curly logical and"},"mathspeak":{"default":"curly-logical-and"}},"key":"22CF"},{"category":"Sm","mappings":{"default":{"default":"double subset"},"mathspeak":{"default":"double-subset"}},"key":"22D0"},{"category":"Sm","mappings":{"default":{"default":"double superset"},"mathspeak":{"default":"double-superset"}},"key":"22D1"},{"category":"Sm","mappings":{"default":{"default":"double intersection"},"mathspeak":{"default":"double-intersection"}},"key":"22D2"},{"category":"Sm","mappings":{"default":{"default":"double union"},"mathspeak":{"default":"double-union"}},"key":"22D3"},{"category":"Sm","mappings":{"default":{"default":"pitchfork"}},"key":"22D4"},{"category":"Sm","mappings":{"default":{"default":"equal and parallel to"},"mathspeak":{"default":"equal-and-parallel-to"}},"key":"22D5"},{"category":"Sm","mappings":{"default":{"default":"less than with dot","alternative":"less than with dot","short":"less than dot"},"mathspeak":{"default":"less-than-dot"}},"key":"22D6"},{"category":"Sm","mappings":{"default":{"default":"greater than with dot","alternative":"greater than with dot","short":"greater than dot"},"mathspeak":{"default":"greater-than-dot"}},"key":"22D7"},{"category":"Sm","mappings":{"default":{"default":"very much less than","alternative":"very much less than"},"mathspeak":{"default":"very-much-less-than"}},"key":"22D8"},{"category":"Sm","mappings":{"default":{"default":"very much greater than","alternative":"very much greater than"},"mathspeak":{"default":"very-much-greater-than"}},"key":"22D9"},{"category":"Sm","mappings":{"default":{"default":"less than equals or greater than","alternative":"less than equals or greater than"},"mathspeak":{"default":"less-than-equals-or-greater-than"}},"key":"22DA"},{"category":"Sm","mappings":{"default":{"default":"greater than equals or less than","alternative":"greater than equals or less than"},"mathspeak":{"default":"greater-than-equals-or-less-than"}},"key":"22DB"},{"category":"Sm","mappings":{"default":{"default":"equals or less than","alternative":"equals or less than"},"mathspeak":{"default":"equals-or-less-than"}},"key":"22DC"},{"category":"Sm","mappings":{"default":{"default":"equals or greater than","alternative":"equals or greater than"},"mathspeak":{"default":"equals-or-greater-than"}},"key":"22DD"},{"category":"Sm","mappings":{"default":{"default":"equals or precedes"},"mathspeak":{"default":"equals-or-precedes"}},"key":"22DE"},{"category":"Sm","mappings":{"default":{"default":"equals or succeeds"},"mathspeak":{"default":"equals-or-succeeds"}},"key":"22DF"},{"category":"Sm","mappings":{"default":{"default":"does not precede or equal"},"mathspeak":{"default":"does-not-precede-or-equal"}},"key":"22E0"},{"category":"Sm","mappings":{"default":{"default":"does not succeed or equal"},"mathspeak":{"default":"does-not-succeed-or-equal"}},"key":"22E1"},{"category":"Sm","mappings":{"default":{"default":"not square image of or equals"},"mathspeak":{"default":"not-square-image-of-or-equal-to"}},"key":"22E2"},{"category":"Sm","mappings":{"default":{"default":"not square original of or equals"},"mathspeak":{"default":"not-square-original-of-or-equal-to"}},"key":"22E3"},{"category":"Sm","mappings":{"default":{"default":"square image of or not equals"},"mathspeak":{"default":"square-image-of-or-not-equals"}},"key":"22E4"},{"category":"Sm","mappings":{"default":{"default":"square original of or not equals"},"mathspeak":{"default":"square-original-of-or-not-equals"}},"key":"22E5"},{"category":"Sm","mappings":{"default":{"default":"less than but not equivalent to","alternative":"less than but not equivalent to"},"mathspeak":{"default":"less-than-but-not-equivalent-to"}},"key":"22E6"},{"category":"Sm","mappings":{"default":{"default":"greater than but not equivalent to","alternative":"greater than but not equivalent to"},"mathspeak":{"default":"greater-than-but-not-equivalent-to"}},"key":"22E7"},{"category":"Sm","mappings":{"default":{"default":"precedes but not equivalent to"},"mathspeak":{"default":"precedes-but-not-equivalent-to"}},"key":"22E8"},{"category":"Sm","mappings":{"default":{"default":"succeeds but not equivalent to"},"mathspeak":{"default":"succeeds-but-not-equivalent-to"}},"key":"22E9"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of"},"mathspeak":{"default":"not-normal-subgroup-of"}},"key":"22EA"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup"},"mathspeak":{"default":"does-not-contain-as-normal-subgroup"}},"key":"22EB"},{"category":"Sm","mappings":{"default":{"default":"not normal subgroup of or equals"},"mathspeak":{"default":"not-normal-subgroup-of-or-equal-to"}},"key":"22EC"},{"category":"Sm","mappings":{"default":{"default":"does not contain as normal subgroup or equal"},"mathspeak":{"default":"does-not-contain-as-normal-subgroup-or-equal"}},"key":"22ED"},{"category":"Sm","mappings":{"default":{"default":"vertical ellipsis"},"mathspeak":{"default":"vertical-ellipsis"}},"key":"22EE"},{"category":"Sm","mappings":{"default":{"default":"midline horizontal ellipsis"},"mathspeak":{"default":"midline-horizontal-ellipsis"}},"key":"22EF"},{"category":"Sm","mappings":{"default":{"default":"up right diagonal ellipsis"},"mathspeak":{"default":"up-right-diagonal-ellipsis"}},"key":"22F0"},{"category":"Sm","mappings":{"default":{"default":"down right diagonal ellipsis"},"mathspeak":{"default":"down-right-diagonal-ellipsis"}},"key":"22F1"},{"category":"Sm","mappings":{"default":{"default":"element of with long horizontal stroke"},"mathspeak":{"default":"element-of-with-long-horizontal-stroke"}},"key":"22F2"},{"category":"Sm","mappings":{"default":{"default":"element of with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"element-of-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22F3"},{"category":"Sm","mappings":{"default":{"default":"small element of with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"small-element-of-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22F4"},{"category":"Sm","mappings":{"default":{"default":"element of with dot above"},"mathspeak":{"default":"element-of-with-dot-above"}},"key":"22F5"},{"category":"Sm","mappings":{"default":{"default":"element of with overbar"},"mathspeak":{"default":"element-of-with-overbar"}},"key":"22F6"},{"category":"Sm","mappings":{"default":{"default":"small element of with overbar"},"mathspeak":{"default":"small-element-of-with-overbar"}},"key":"22F7"},{"category":"Sm","mappings":{"default":{"default":"element of with underbar"},"mathspeak":{"default":"element-of-with-underbar"}},"key":"22F8"},{"category":"Sm","mappings":{"default":{"default":"element of with two horizontal strokes"},"mathspeak":{"default":"element-of-with-two-horizontal-strokes"}},"key":"22F9"},{"category":"Sm","mappings":{"default":{"default":"contains with long horizontal stroke"},"mathspeak":{"default":"contains-with-long-horizontal-stroke"}},"key":"22FA"},{"category":"Sm","mappings":{"default":{"default":"contains with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"contains-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22FB"},{"category":"Sm","mappings":{"default":{"default":"small contains with vertical bar at end of horizontal stroke"},"mathspeak":{"default":"small-contains-with-vertical-bar-at-end-of-horizontal-stroke"}},"key":"22FC"},{"category":"Sm","mappings":{"default":{"default":"contains with overbar"},"mathspeak":{"default":"contains-with-overbar"}},"key":"22FD"},{"category":"Sm","mappings":{"default":{"default":"small contains with overbar"},"mathspeak":{"default":"small-contains-with-overbar"}},"key":"22FE"},{"category":"Sm","mappings":{"default":{"default":"z notation bag membership"},"mathspeak":{"default":"z-notation-bag-membership"}},"key":"22FF"},{"category":"So","mappings":{"default":{"default":"diameter sign","short":"diameter"},"mathspeak":{"default":"diameter-sign"}},"key":"2300"},{"category":"So","mappings":{"default":{"default":"house"}},"key":"2302"},{"category":"So","mappings":{"default":{"default":"projective"}},"key":"2305"},{"category":"So","mappings":{"default":{"default":"perspective"}},"key":"2306"},{"category":"So","mappings":{"default":{"default":"wavy line"},"mathspeak":{"default":"wavy-line"}},"key":"2307"},{"category":"So","mappings":{"default":{"default":"reversed not sign","short":"reversed not"},"mathspeak":{"default":"reversed-not"}},"key":"2310"},{"category":"So","mappings":{"default":{"default":"square lozenge"},"mathspeak":{"default":"square-lozenge"}},"key":"2311"},{"category":"So","mappings":{"default":{"default":"arc"}},"key":"2312"},{"category":"So","mappings":{"default":{"default":"segment"}},"key":"2313"},{"category":"So","mappings":{"default":{"default":"sector"}},"key":"2314"},{"category":"So","mappings":{"default":{"default":"heavy plus sign","alternative":"heavy plus","short":"bold plus"},"mathspeak":{"default":"bold-plus"}},"key":"2795"},{"category":"So","mappings":{"default":{"default":"heavy minus sign","alternative":"heavy minus","short":"bold minus"},"mathspeak":{"default":"bold-minus"}},"key":"2796"},{"category":"So","mappings":{"default":{"default":"heavy division sign","alternative":"heavy division","short":"bold division"},"mathspeak":{"default":"bold-division"}},"key":"2797"},{"category":"So","mappings":{"default":{"default":"curly loop"},"mathspeak":{"default":"curly-loop"}},"key":"27B0"},{"category":"So","mappings":{"default":{"default":"double curly loop"},"mathspeak":{"default":"double-curly-loop"}},"key":"27BF"},{"category":"Sm","mappings":{"default":{"default":"white triangle containing small white triangle"},"mathspeak":{"default":"white-triangle-containing-small-white-triangle"}},"key":"27C1"},{"category":"Sm","mappings":{"default":{"default":"perpendicular"}},"key":"27C2"},{"category":"Sm","mappings":{"default":{"default":"open subset"},"mathspeak":{"default":"open-subset"}},"key":"27C3"},{"category":"Sm","mappings":{"default":{"default":"open superset"},"mathspeak":{"default":"open-superset"}},"key":"27C4"},{"category":"Sm","mappings":{"default":{"default":"or with dot inside"},"mathspeak":{"default":"or-with-dot-inside"}},"key":"27C7"},{"category":"Sm","mappings":{"default":{"default":"reverse solidus preceding subset"},"mathspeak":{"default":"reverse-solidus-preceding-subset"}},"key":"27C8"},{"category":"Sm","mappings":{"default":{"default":"superset preceding solidus"},"mathspeak":{"default":"superset-preceding-solidus"}},"key":"27C9"},{"category":"Sm","mappings":{"default":{"default":"vertical bar with horizontal stroke"},"mathspeak":{"default":"vertical-bar-with-horizontal-stroke"}},"key":"27CA"},{"category":"Sm","mappings":{"default":{"default":"mathematical rising diagonal"},"mathspeak":{"default":"mathematical-rising-diagonal"}},"key":"27CB"},{"category":"Sm","mappings":{"default":{"default":"long division"},"mathspeak":{"default":"long-division"}},"key":"27CC"},{"category":"Sm","mappings":{"default":{"default":"mathematical falling diagonal"},"mathspeak":{"default":"mathematical-falling-diagonal"}},"key":"27CD"},{"category":"Sm","mappings":{"default":{"default":"squared logical and"},"mathspeak":{"default":"squared-logical-and"}},"key":"27CE"},{"category":"Sm","mappings":{"default":{"default":"squared logical or"},"mathspeak":{"default":"squared-logical-or"}},"key":"27CF"},{"category":"Sm","mappings":{"default":{"default":"white diamond with centered dot"},"mathspeak":{"default":"white-diamond-with-centered-dot"}},"key":"27D0"},{"category":"Sm","mappings":{"default":{"default":"and with dot"},"mathspeak":{"default":"and-with-dot"}},"key":"27D1"},{"category":"Sm","mappings":{"default":{"default":"element of opening upwards"},"mathspeak":{"default":"element-of-opening-upwards"}},"key":"27D2"},{"category":"Sm","mappings":{"default":{"default":"lower right corner with dot"},"mathspeak":{"default":"lower-right-corner-with-dot"}},"key":"27D3"},{"category":"Sm","mappings":{"default":{"default":"upper left corner with dot"},"mathspeak":{"default":"upper-left-corner-with-dot"}},"key":"27D4"},{"category":"Sm","mappings":{"default":{"default":"left outer join"},"mathspeak":{"default":"left-outer-join"}},"key":"27D5"},{"category":"Sm","mappings":{"default":{"default":"right outer join"},"mathspeak":{"default":"right-outer-join"}},"key":"27D6"},{"category":"Sm","mappings":{"default":{"default":"full outer join"},"mathspeak":{"default":"full-outer-join"}},"key":"27D7"},{"category":"Sm","mappings":{"default":{"default":"large up tack"},"mathspeak":{"default":"large-up-tack"}},"key":"27D8"},{"category":"Sm","mappings":{"default":{"default":"large down tack"},"mathspeak":{"default":"large-down-tack"}},"key":"27D9"},{"category":"Sm","mappings":{"default":{"default":"left and right double turnstile"},"mathspeak":{"default":"left-and-right-double-turnstile"}},"key":"27DA"},{"category":"Sm","mappings":{"default":{"default":"left and right tack"},"mathspeak":{"default":"left-and-right-tack"}},"key":"27DB"},{"category":"Sm","mappings":{"default":{"default":"left multimap"},"mathspeak":{"default":"left-multimap"}},"key":"27DC"},{"category":"Sm","mappings":{"default":{"default":"long right tack"},"mathspeak":{"default":"long-right-tack"}},"key":"27DD"},{"category":"Sm","mappings":{"default":{"default":"long left tack"},"mathspeak":{"default":"long-left-tack"}},"key":"27DE"},{"category":"Sm","mappings":{"default":{"default":"up tack with circle above"},"mathspeak":{"default":"up-tack-with-circle-above"}},"key":"27DF"},{"category":"Sm","mappings":{"default":{"default":"lozenge divided by horizontal rule"},"mathspeak":{"default":"lozenge-divided-by-horizontal-rule"}},"key":"27E0"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond"},"mathspeak":{"default":"white-concave-sided-diamond"}},"key":"27E1"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with leftwards tick"},"mathspeak":{"default":"white-concave-sided-diamond-with-leftwards-tick"}},"key":"27E2"},{"category":"Sm","mappings":{"default":{"default":"white concave sided diamond with rightwards tick"},"mathspeak":{"default":"white-concave-sided-diamond-with-rightwards-tick"}},"key":"27E3"},{"category":"Sm","mappings":{"default":{"default":"white square with leftwards tick"},"mathspeak":{"default":"white-square-with-leftwards-tick"}},"key":"27E4"},{"category":"Sm","mappings":{"default":{"default":"white square with rightwards tick"},"mathspeak":{"default":"white-square-with-rightwards-tick"}},"key":"27E5"},{"category":"Sm","mappings":{"default":{"default":"rising diagonal crossing falling diagonal"},"mathspeak":{"default":"rising-diagonal-crossing-falling-diagonal"}},"key":"292B"},{"category":"Sm","mappings":{"default":{"default":"falling diagonal crossing rising diagonal"},"mathspeak":{"default":"falling-diagonal-crossing-rising-diagonal"}},"key":"292C"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar delimiter"},"mathspeak":{"default":"triple-vertical-bar-delimiter"}},"key":"2980"},{"category":"Sm","mappings":{"default":{"default":"z notation spot"},"mathspeak":{"default":"z-notation-spot"}},"key":"2981"},{"category":"Sm","mappings":{"default":{"default":"z notation type colon"},"mathspeak":{"default":"z-notation-type-colon"}},"key":"2982"},{"category":"Sm","mappings":{"default":{"default":"dotted fence"},"mathspeak":{"default":"dotted-fence"}},"key":"2999"},{"category":"Sm","mappings":{"default":{"default":"vertical zigzag line"},"mathspeak":{"default":"vertical-zigzag-line"}},"key":"299A"},{"category":"Sm","mappings":{"default":{"default":"reversed empty set"},"mathspeak":{"default":"reversed-empty-set"}},"key":"29B0"},{"category":"Sm","mappings":{"default":{"default":"empty set with overbar"},"mathspeak":{"default":"empty-set-with-overbar"}},"key":"29B1"},{"category":"Sm","mappings":{"default":{"default":"empty set with small circle above"},"mathspeak":{"default":"empty-set-with-small-circle-above"}},"key":"29B2"},{"category":"Sm","mappings":{"default":{"default":"circle with horizontal bar"},"mathspeak":{"default":"circle-with-horizontal-bar"}},"key":"29B5"},{"category":"Sm","mappings":{"default":{"default":"circled vertical bar"},"mathspeak":{"default":"circled-vertical-bar"}},"key":"29B6"},{"category":"Sm","mappings":{"default":{"default":"circled parallel"},"mathspeak":{"default":"circled-parallel"}},"key":"29B7"},{"category":"Sm","mappings":{"default":{"default":"circled reverse solidus"},"mathspeak":{"default":"circled-reverse-solidus"}},"key":"29B8"},{"category":"Sm","mappings":{"default":{"default":"circled perpendicular"},"mathspeak":{"default":"circled-perpendicular"}},"key":"29B9"},{"category":"Sm","mappings":{"default":{"default":"circle divided by horizontal bar and top half divided by vertical bar"},"mathspeak":{"default":"circle-divided-by-horizontal-bar-and-top-half-divided-by-vertical-bar"}},"key":"29BA"},{"category":"Sm","mappings":{"default":{"default":"circle with superimposed x"},"mathspeak":{"default":"circle-with-superimposed-x"}},"key":"29BB"},{"category":"Sm","mappings":{"default":{"default":"circled anticlockwise rotated division sign","short":"circled anticlockwise rotated division"},"mathspeak":{"default":"circled-anticlockwise-rotated-division"}},"key":"29BC"},{"category":"Sm","mappings":{"default":{"default":"circled white bullet"},"mathspeak":{"default":"circled-white-bullet"}},"key":"29BE"},{"category":"Sm","mappings":{"default":{"default":"circled bullet"},"mathspeak":{"default":"circled-bullet"}},"key":"29BF"},{"category":"Sm","mappings":{"default":{"default":"circled less than"},"mathspeak":{"default":"circled-less-than"}},"key":"29C0"},{"category":"Sm","mappings":{"default":{"default":"circled greater than"},"mathspeak":{"default":"circled-greater-than"}},"key":"29C1"},{"category":"Sm","mappings":{"default":{"default":"circle with small circle to the right"},"mathspeak":{"default":"circle-with-small-circle-to-the-right"}},"key":"29C2"},{"category":"Sm","mappings":{"default":{"default":"circle with two horizontal strokes to the right"},"mathspeak":{"default":"circle-with-two-horizontal-strokes-to-the-right"}},"key":"29C3"},{"category":"Sm","mappings":{"default":{"default":"squared rising diagonal slash"},"mathspeak":{"default":"squared-rising-diagonal-slash"}},"key":"29C4"},{"category":"Sm","mappings":{"default":{"default":"squared falling diagonal slash"},"mathspeak":{"default":"squared-falling-diagonal-slash"}},"key":"29C5"},{"category":"Sm","mappings":{"default":{"default":"squared asterisk"},"mathspeak":{"default":"squared-asterisk"}},"key":"29C6"},{"category":"Sm","mappings":{"default":{"default":"squared small circle"},"mathspeak":{"default":"squared-small-circle"}},"key":"29C7"},{"category":"Sm","mappings":{"default":{"default":"squared square"},"mathspeak":{"default":"squared-square"}},"key":"29C8"},{"category":"Sm","mappings":{"default":{"default":"two joined squares"},"mathspeak":{"default":"two-joined-squares"}},"key":"29C9"},{"category":"Sm","mappings":{"default":{"default":"triangle with dot above"},"mathspeak":{"default":"triangle-with-dot-above"}},"key":"29CA"},{"category":"Sm","mappings":{"default":{"default":"triangle with underbar"},"mathspeak":{"default":"triangle-with-underbar"}},"key":"29CB"},{"category":"Sm","mappings":{"default":{"default":"s in triangle"},"mathspeak":{"default":"s-in-triangle"}},"key":"29CC"},{"category":"Sm","mappings":{"default":{"default":"triangle with serifs at bottom"},"mathspeak":{"default":"triangle-with-serifs-at-bottom"}},"key":"29CD"},{"category":"Sm","mappings":{"default":{"default":"right triangle above left triangle"},"mathspeak":{"default":"right-triangle-above-left-triangle"}},"key":"29CE"},{"category":"Sm","mappings":{"default":{"default":"left triangle beside vertical bar"},"mathspeak":{"default":"left-triangle-beside-vertical-bar"}},"key":"29CF"},{"category":"Sm","mappings":{"default":{"default":"vertical bar beside right triangle"},"mathspeak":{"default":"vertical-bar-beside-right-triangle"}},"key":"29D0"},{"category":"Sm","mappings":{"default":{"default":"bowtie with left half black"},"mathspeak":{"default":"bowtie-with-left-half-black"}},"key":"29D1"},{"category":"Sm","mappings":{"default":{"default":"bowtie with right half black"},"mathspeak":{"default":"bowtie-with-right-half-black"}},"key":"29D2"},{"category":"Sm","mappings":{"default":{"default":"black bowtie"},"mathspeak":{"default":"black-bowtie"}},"key":"29D3"},{"category":"Sm","mappings":{"default":{"default":"times with left half black"},"mathspeak":{"default":"times-with-left-half-black"}},"key":"29D4"},{"category":"Sm","mappings":{"default":{"default":"times with right half black"},"mathspeak":{"default":"times-with-right-half-black"}},"key":"29D5"},{"category":"Sm","mappings":{"default":{"default":"white hourglass"},"mathspeak":{"default":"white-hourglass"}},"key":"29D6"},{"category":"Sm","mappings":{"default":{"default":"black hourglass"},"mathspeak":{"default":"black-hourglass"}},"key":"29D7"},{"category":"Sm","mappings":{"default":{"default":"incomplete infinity"},"mathspeak":{"default":"incomplete-infinity"}},"key":"29DC"},{"category":"Sm","mappings":{"default":{"default":"tie over infinity"},"mathspeak":{"default":"tie-over-infinity"}},"key":"29DD"},{"category":"Sm","mappings":{"default":{"default":"infinity negated with vertical bar"},"mathspeak":{"default":"infinity-negated-with-vertical-bar"}},"key":"29DE"},{"category":"Sm","mappings":{"default":{"default":"double ended multimap"},"mathspeak":{"default":"double-ended-multimap"}},"key":"29DF"},{"category":"Sm","mappings":{"default":{"default":"square with contoured outline"},"mathspeak":{"default":"square-with-contoured-outline"}},"key":"29E0"},{"category":"Sm","mappings":{"default":{"default":"increases as"},"mathspeak":{"default":"increases-as"}},"key":"29E1"},{"category":"Sm","mappings":{"default":{"default":"shuffle product"},"mathspeak":{"default":"shuffle-product"}},"key":"29E2"},{"category":"Sm","mappings":{"default":{"default":"equals sign and slanted parallel"},"mathspeak":{"default":"equals-and-slanted-parallel"}},"key":"29E3"},{"category":"Sm","mappings":{"default":{"default":"equals sign and slanted parallel with tilde above"},"mathspeak":{"default":"equals-and-slanted-parallel-with-tilde-above"}},"key":"29E4"},{"category":"Sm","mappings":{"default":{"default":"identical to and slanted parallel"},"mathspeak":{"default":"identical-to-and-slanted-parallel"}},"key":"29E5"},{"category":"Sm","mappings":{"default":{"default":"gleich stark"},"mathspeak":{"default":"gleich-stark"}},"key":"29E6"},{"category":"Sm","mappings":{"default":{"default":"thermodynamic"}},"key":"29E7"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with left half black"},"mathspeak":{"default":"down-pointing-triangle-with-left-half-black"}},"key":"29E8"},{"category":"Sm","mappings":{"default":{"default":"down pointing triangle with right half black"},"mathspeak":{"default":"down-pointing-triangle-with-right-half-black"}},"key":"29E9"},{"category":"Sm","mappings":{"default":{"default":"black lozenge"},"mathspeak":{"default":"black-lozenge"}},"key":"29EB"},{"category":"Sm","mappings":{"default":{"default":"error barred white square"},"mathspeak":{"default":"error-barred-white-square"}},"key":"29EE"},{"category":"Sm","mappings":{"default":{"default":"error barred black square"},"mathspeak":{"default":"error-barred-black-square"}},"key":"29EF"},{"category":"Sm","mappings":{"default":{"default":"error barred white diamond"},"mathspeak":{"default":"error-barred-white-diamond"}},"key":"29F0"},{"category":"Sm","mappings":{"default":{"default":"error barred black diamond"},"mathspeak":{"default":"error-barred-black-diamond"}},"key":"29F1"},{"category":"Sm","mappings":{"default":{"default":"error barred white circle"},"mathspeak":{"default":"error-barred-white-circle"}},"key":"29F2"},{"category":"Sm","mappings":{"default":{"default":"error barred black circle"},"mathspeak":{"default":"error-barred-black-circle"}},"key":"29F3"},{"category":"Sm","mappings":{"default":{"default":"rule delayed"},"mathspeak":{"default":"rule-delayed"}},"key":"29F4"},{"category":"Sm","mappings":{"default":{"default":"reverse solidus operator"},"mathspeak":{"default":"reverse-solidus"}},"key":"29F5"},{"category":"Sm","mappings":{"default":{"default":"solidus with overbar"},"mathspeak":{"default":"solidus-with-overbar"}},"key":"29F6"},{"category":"Sm","mappings":{"default":{"default":"reverse solidus with horizontal stroke"},"mathspeak":{"default":"reverse-solidus-with-horizontal-stroke"}},"key":"29F7"},{"category":"Sm","mappings":{"default":{"default":"big solidus"},"mathspeak":{"default":"solidus"}},"key":"29F8"},{"category":"Sm","mappings":{"default":{"default":"big reverse solidus"},"mathspeak":{"default":"reverse-solidus"}},"key":"29F9"},{"category":"Sm","mappings":{"default":{"default":"double plus"},"mathspeak":{"default":"double-plus"}},"key":"29FA"},{"category":"Sm","mappings":{"default":{"default":"triple plus"},"mathspeak":{"default":"triple-plus"}},"key":"29FB"},{"category":"Sm","mappings":{"default":{"default":"tiny"}},"key":"29FE"},{"category":"Sm","mappings":{"default":{"default":"miny"}},"key":"29FF"},{"category":"Sm","mappings":{"default":{"default":"n ary circled dot operator"},"mathspeak":{"default":"circled-dot"}},"key":"2A00"},{"category":"Sm","mappings":{"default":{"default":"n ary circled plus operator"},"mathspeak":{"default":"circled-plus"}},"key":"2A01"},{"category":"Sm","mappings":{"default":{"default":"n ary circled times operator"},"mathspeak":{"default":"circled-times"}},"key":"2A02"},{"category":"Sm","mappings":{"default":{"default":"n ary union operator with dot"},"mathspeak":{"default":"union-with-dot"}},"key":"2A03"},{"category":"Sm","mappings":{"default":{"default":"n ary union operator with plus"},"mathspeak":{"default":"union-with-plus"}},"key":"2A04"},{"category":"Sm","mappings":{"default":{"default":"n ary square intersection operator"},"mathspeak":{"default":"square-intersection"}},"key":"2A05"},{"category":"Sm","mappings":{"default":{"default":"n ary square union operator"},"mathspeak":{"default":"square-union"}},"key":"2A06"},{"category":"Sm","mappings":{"default":{"default":"two logical and operator"},"mathspeak":{"default":"two-logical-and"}},"key":"2A07"},{"category":"Sm","mappings":{"default":{"default":"two logical or operator"},"mathspeak":{"default":"two-logical-or"}},"key":"2A08"},{"category":"Sm","mappings":{"default":{"default":"n ary times operator"},"mathspeak":{"default":"times"}},"key":"2A09"},{"category":"Sm","mappings":{"default":{"default":"modulo two sum"},"mathspeak":{"default":"modulo-two-sum"}},"key":"2A0A"},{"category":"Sm","mappings":{"default":{"default":"summation with integral"},"mathspeak":{"default":"summation-with-integral"}},"key":"2A0B"},{"category":"Sm","mappings":{"default":{"default":"quadruple integral operator"},"mathspeak":{"default":"quadruple-integral"}},"key":"2A0C"},{"category":"Sm","mappings":{"default":{"default":"finite part integral"},"mathspeak":{"default":"finite-part-integral"}},"key":"2A0D"},{"category":"Sm","mappings":{"default":{"default":"integral with double stroke"},"mathspeak":{"default":"integral-with-double-stroke"}},"key":"2A0E"},{"category":"Sm","mappings":{"default":{"default":"integral average with slash"},"mathspeak":{"default":"integral-average-with-slash"}},"key":"2A0F"},{"category":"Sm","mappings":{"default":{"default":"circulation function"},"mathspeak":{"default":"circulation-function"}},"key":"2A10"},{"category":"Sm","mappings":{"default":{"default":"anticlockwise integration"},"mathspeak":{"default":"anticlockwise-integration"}},"key":"2A11"},{"category":"Sm","mappings":{"default":{"default":"line integration with rectangular path around pole"},"mathspeak":{"default":"line-integration-with-rectangular-path-around-pole"}},"key":"2A12"},{"category":"Sm","mappings":{"default":{"default":"line integration with semicircular path around pole"},"mathspeak":{"default":"line-integration-with-semicircular-path-around-pole"}},"key":"2A13"},{"category":"Sm","mappings":{"default":{"default":"line integration not including the pole"},"mathspeak":{"default":"line-integration-not-including-the-pole"}},"key":"2A14"},{"category":"Sm","mappings":{"default":{"default":"integral around a point operator"},"mathspeak":{"default":"integral-around-a-point"}},"key":"2A15"},{"category":"Sm","mappings":{"default":{"default":"quaternion integral operator"},"mathspeak":{"default":"quaternion-integral"}},"key":"2A16"},{"category":"Sm","mappings":{"default":{"default":"integral with times sign","short":"integral with times"},"mathspeak":{"default":"integral-with-times"}},"key":"2A18"},{"category":"Sm","mappings":{"default":{"default":"integral with intersection"},"mathspeak":{"default":"integral-with-intersection"}},"key":"2A19"},{"category":"Sm","mappings":{"default":{"default":"integral with union"},"mathspeak":{"default":"integral-with-union"}},"key":"2A1A"},{"category":"Sm","mappings":{"default":{"default":"integral with overbar"},"mathspeak":{"default":"integral-with-overbar"}},"key":"2A1B"},{"category":"Sm","mappings":{"default":{"default":"integral with underbar"},"mathspeak":{"default":"integral-with-underbar"}},"key":"2A1C"},{"category":"Sm","mappings":{"default":{"default":"join"}},"key":"2A1D"},{"category":"Sm","mappings":{"default":{"default":"large left triangle operator"},"mathspeak":{"default":"large-left-triangle"}},"key":"2A1E"},{"category":"Sm","mappings":{"default":{"default":"z notation schema composition"},"mathspeak":{"default":"z-notation-schema-composition"}},"key":"2A1F"},{"category":"Sm","mappings":{"default":{"default":"z notation schema piping"},"mathspeak":{"default":"z-notation-schema-piping"}},"key":"2A20"},{"category":"Sm","mappings":{"default":{"default":"z notation schema projection"},"mathspeak":{"default":"z-notation-schema-projection"}},"key":"2A21"},{"category":"Sm","mappings":{"default":{"default":"plus sign with small circle above","short":"plus with circle above"},"mathspeak":{"default":"plus-with-circle-above"}},"key":"2A22"},{"category":"Sm","mappings":{"default":{"default":"plus sign with circumflex accent above","short":"plus hat"},"mathspeak":{"default":"plus-hat"}},"key":"2A23"},{"category":"Sm","mappings":{"default":{"default":"plus sign with tilde above","short":"plus tilde"},"mathspeak":{"default":"plus-tilde"}},"key":"2A24"},{"category":"Sm","mappings":{"default":{"default":"plus sign with dot below","short":"plus underdot"},"mathspeak":{"default":"plus-underdot"}},"key":"2A25"},{"category":"Sm","mappings":{"default":{"default":"plus sign with tilde below"},"mathspeak":{"default":"plus-sign-with-tilde-below"}},"key":"2A26"},{"category":"Sm","mappings":{"default":{"default":"plus sign with subscript two"},"mathspeak":{"default":"plus-sign-with-subscript-two"}},"key":"2A27"},{"category":"Sm","mappings":{"default":{"default":"plus sign with black triangle"},"mathspeak":{"default":"plus-sign-with-black-triangle"}},"key":"2A28"},{"category":"Sm","mappings":{"default":{"default":"minus sign with comma above"},"mathspeak":{"default":"minus-sign-with-comma-above"}},"key":"2A29"},{"category":"Sm","mappings":{"default":{"default":"minus sign with dot below"},"mathspeak":{"default":"minus-sign-with-dot-below"}},"key":"2A2A"},{"category":"Sm","mappings":{"default":{"default":"minus sign with falling dots"},"mathspeak":{"default":"minus-sign-with-falling-dots"}},"key":"2A2B"},{"category":"Sm","mappings":{"default":{"default":"minus sign with rising dots"},"mathspeak":{"default":"minus-sign-with-rising-dots"}},"key":"2A2C"},{"category":"Sm","mappings":{"default":{"default":"plus sign in left half circle"},"mathspeak":{"default":"plus-sign-in-left-half-circle"}},"key":"2A2D"},{"category":"Sm","mappings":{"default":{"default":"plus sign in right half circle"},"mathspeak":{"default":"plus-sign-in-right-half-circle"}},"key":"2A2E"},{"category":"Sm","mappings":{"default":{"default":"vector or cross product"},"mathspeak":{"default":"vector-or-cross-product"}},"key":"2A2F"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with dot above"},"mathspeak":{"default":"multiplication-sign-with-dot-above"}},"key":"2A30"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign with underbar"},"mathspeak":{"default":"multiplication-sign-with-underbar"}},"key":"2A31"},{"category":"Sm","mappings":{"default":{"default":"semidirect product with bottom closed"},"mathspeak":{"default":"semidirect-product-with-bottom-closed"}},"key":"2A32"},{"category":"Sm","mappings":{"default":{"default":"smash product"},"mathspeak":{"default":"smash-product"}},"key":"2A33"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in left half circle"},"mathspeak":{"default":"multiplication-sign-in-left-half-circle"}},"key":"2A34"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in right half circle"},"mathspeak":{"default":"multiplication-sign-in-right-half-circle"}},"key":"2A35"},{"category":"Sm","mappings":{"default":{"default":"circled multiplication sign with circumflex accent"},"mathspeak":{"default":"circled-multiplication-sign-with-circumflex-accent"}},"key":"2A36"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in double circle"},"mathspeak":{"default":"multiplication-sign-in-double-circle"}},"key":"2A37"},{"category":"Sm","mappings":{"default":{"default":"circled division sign","short":"circled division"},"mathspeak":{"default":"circled-division"}},"key":"2A38"},{"category":"Sm","mappings":{"default":{"default":"plus sign in triangle"},"mathspeak":{"default":"plus-sign-in-triangle"}},"key":"2A39"},{"category":"Sm","mappings":{"default":{"default":"minus sign in triangle"},"mathspeak":{"default":"minus-sign-in-triangle"}},"key":"2A3A"},{"category":"Sm","mappings":{"default":{"default":"multiplication sign in triangle"},"mathspeak":{"default":"multiplication-sign-in-triangle"}},"key":"2A3B"},{"category":"Sm","mappings":{"default":{"default":"interior product"},"mathspeak":{"default":"interior-product"}},"key":"2A3C"},{"category":"Sm","mappings":{"default":{"default":"righthand interior product"},"mathspeak":{"default":"righthand-interior-product"}},"key":"2A3D"},{"category":"Sm","mappings":{"default":{"default":"z notation relational composition"},"mathspeak":{"default":"z-notation-relational-composition"}},"key":"2A3E"},{"category":"Sm","mappings":{"default":{"default":"amalgamation or coproduct"},"mathspeak":{"default":"amalgamation-or-coproduct"}},"key":"2A3F"},{"category":"Sm","mappings":{"default":{"default":"intersection with dot"},"mathspeak":{"default":"intersection-with-dot"}},"key":"2A40"},{"category":"Sm","mappings":{"default":{"default":"union with minus sign","short":"union with minus"},"mathspeak":{"default":"union-with-minus"}},"key":"2A41"},{"category":"Sm","mappings":{"default":{"default":"union with overbar"},"mathspeak":{"default":"union-with-overbar"}},"key":"2A42"},{"category":"Sm","mappings":{"default":{"default":"intersection with overbar"},"mathspeak":{"default":"intersection-with-overbar"}},"key":"2A43"},{"category":"Sm","mappings":{"default":{"default":"intersection with logical and"},"mathspeak":{"default":"intersection-with-logical-and"}},"key":"2A44"},{"category":"Sm","mappings":{"default":{"default":"union with logical or"},"mathspeak":{"default":"union-with-logical-or"}},"key":"2A45"},{"category":"Sm","mappings":{"default":{"default":"union above intersection"},"mathspeak":{"default":"union-above-intersection"}},"key":"2A46"},{"category":"Sm","mappings":{"default":{"default":"intersection above union"},"mathspeak":{"default":"intersection-above-union"}},"key":"2A47"},{"category":"Sm","mappings":{"default":{"default":"union above bar above intersection"},"mathspeak":{"default":"union-above-bar-above-intersection"}},"key":"2A48"},{"category":"Sm","mappings":{"default":{"default":"intersection above bar above union"},"mathspeak":{"default":"intersection-above-bar-above-union"}},"key":"2A49"},{"category":"Sm","mappings":{"default":{"default":"union beside and joined with union"},"mathspeak":{"default":"union-beside-and-joined-with-union"}},"key":"2A4A"},{"category":"Sm","mappings":{"default":{"default":"intersection beside and joined with intersection"},"mathspeak":{"default":"intersection-beside-and-joined-with-intersection"}},"key":"2A4B"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs"},"mathspeak":{"default":"closed-union-with-serifs"}},"key":"2A4C"},{"category":"Sm","mappings":{"default":{"default":"closed intersection with serifs"},"mathspeak":{"default":"closed-intersection-with-serifs"}},"key":"2A4D"},{"category":"Sm","mappings":{"default":{"default":"double square intersection"},"mathspeak":{"default":"double-square-intersection"}},"key":"2A4E"},{"category":"Sm","mappings":{"default":{"default":"double square union"},"mathspeak":{"default":"double-square-union"}},"key":"2A4F"},{"category":"Sm","mappings":{"default":{"default":"closed union with serifs and smash product"},"mathspeak":{"default":"closed-union-with-serifs-and-smash-product"}},"key":"2A50"},{"category":"Sm","mappings":{"default":{"default":"logical and with dot above"},"mathspeak":{"default":"logical-and-with-dot-above"}},"key":"2A51"},{"category":"Sm","mappings":{"default":{"default":"logical or with dot above"},"mathspeak":{"default":"logical-or-with-dot-above"}},"key":"2A52"},{"category":"Sm","mappings":{"default":{"default":"double logical and"},"mathspeak":{"default":"double-logical-and"}},"key":"2A53"},{"category":"Sm","mappings":{"default":{"default":"double logical or"},"mathspeak":{"default":"double-logical-or"}},"key":"2A54"},{"category":"Sm","mappings":{"default":{"default":"two intersecting logical and"},"mathspeak":{"default":"two-intersecting-logical-and"}},"key":"2A55"},{"category":"Sm","mappings":{"default":{"default":"two intersecting logical or"},"mathspeak":{"default":"two-intersecting-logical-or"}},"key":"2A56"},{"category":"Sm","mappings":{"default":{"default":"sloping large or"},"mathspeak":{"default":"sloping-large-or"}},"key":"2A57"},{"category":"Sm","mappings":{"default":{"default":"sloping large and"},"mathspeak":{"default":"sloping-large-and"}},"key":"2A58"},{"category":"Sm","mappings":{"default":{"default":"logical or overlapping logical and"},"mathspeak":{"default":"logical-or-overlapping-logical-and"}},"key":"2A59"},{"category":"Sm","mappings":{"default":{"default":"logical and with middle stem"},"mathspeak":{"default":"logical-and-with-middle-stem"}},"key":"2A5A"},{"category":"Sm","mappings":{"default":{"default":"logical or with middle stem"},"mathspeak":{"default":"logical-or-with-middle-stem"}},"key":"2A5B"},{"category":"Sm","mappings":{"default":{"default":"logical and with horizontal dash"},"mathspeak":{"default":"logical-and-with-horizontal-dash"}},"key":"2A5C"},{"category":"Sm","mappings":{"default":{"default":"logical or with horizontal dash"},"mathspeak":{"default":"logical-or-with-horizontal-dash"}},"key":"2A5D"},{"category":"Sm","mappings":{"default":{"default":"logical and with double overbar"},"mathspeak":{"default":"logical-and-with-double-overbar"}},"key":"2A5E"},{"category":"Sm","mappings":{"default":{"default":"logical and with underbar"},"mathspeak":{"default":"logical-and-with-underbar"}},"key":"2A5F"},{"category":"Sm","mappings":{"default":{"default":"logical and with double underbar"},"mathspeak":{"default":"logical-and-with-double-underbar"}},"key":"2A60"},{"category":"Sm","mappings":{"default":{"default":"small vee with underbar"},"mathspeak":{"default":"small-vee-with-underbar"}},"key":"2A61"},{"category":"Sm","mappings":{"default":{"default":"logical or with double overbar"},"mathspeak":{"default":"logical-or-with-double-overbar"}},"key":"2A62"},{"category":"Sm","mappings":{"default":{"default":"logical or with double underbar"},"mathspeak":{"default":"logical-or-with-double-underbar"}},"key":"2A63"},{"category":"Sm","mappings":{"default":{"default":"z notation domain antirestriction"},"mathspeak":{"default":"z-notation-domain-antirestriction"}},"key":"2A64"},{"category":"Sm","mappings":{"default":{"default":"z notation range antirestriction"},"mathspeak":{"default":"z-notation-range-antirestriction"}},"key":"2A65"},{"category":"Sm","mappings":{"default":{"default":"equals sign with dot below"},"mathspeak":{"default":"equals-with-dot-below"}},"key":"2A66"},{"category":"Sm","mappings":{"default":{"default":"identical with dot above"},"mathspeak":{"default":"identical-with-dot-above"}},"key":"2A67"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with double vertical stroke"},"mathspeak":{"default":"triple-horizontal-bar-with-double-vertical-stroke"}},"key":"2A68"},{"category":"Sm","mappings":{"default":{"default":"triple horizontal bar with triple vertical stroke"},"mathspeak":{"default":"triple-horizontal-bar-with-triple-vertical-stroke"}},"key":"2A69"},{"category":"Sm","mappings":{"default":{"default":"tilde operator with dot above"},"mathspeak":{"default":"tilde-with-dot-above"}},"key":"2A6A"},{"category":"Sm","mappings":{"default":{"default":"tilde operator with rising dots"},"mathspeak":{"default":"tilde-with-rising-dots"}},"key":"2A6B"},{"category":"Sm","mappings":{"default":{"default":"similar minus similar"},"mathspeak":{"default":"similar-minus-similar"}},"key":"2A6C"},{"category":"Sm","mappings":{"default":{"default":"congruent with dot above"},"mathspeak":{"default":"congruent-with-dot-above"}},"key":"2A6D"},{"category":"Sm","mappings":{"default":{"default":"equals with asterisk"},"mathspeak":{"default":"equals-with-asterisk"}},"key":"2A6E"},{"category":"Sm","mappings":{"default":{"default":"almost equals with circumflex accent","short":"almost equal hat"},"mathspeak":{"default":"almost-equal-hat"}},"key":"2A6F"},{"category":"Sm","mappings":{"default":{"default":"approximately equal or equals"},"mathspeak":{"default":"approximately-equal-or-equal-to"}},"key":"2A70"},{"category":"Sm","mappings":{"default":{"default":"equals sign above plus sign","short":"equals above plus"},"mathspeak":{"default":"equals-above-plus"}},"key":"2A71"},{"category":"Sm","mappings":{"default":{"default":"plus sign above equals sign","short":"plus above equals"},"mathspeak":{"default":"plus-above-equals"}},"key":"2A72"},{"category":"Sm","mappings":{"default":{"default":"equals sign above tilde operator","short":"equals above tilde operator"},"mathspeak":{"default":"equals-above-tilde"}},"key":"2A73"},{"category":"Sm","mappings":{"default":{"default":"double colon equal"},"mathspeak":{"default":"double-colon-equal"}},"key":"2A74"},{"category":"Sm","mappings":{"default":{"default":"two consecutive equals signs","short":"two consecutive equals"},"mathspeak":{"default":"two-consecutive-equals"}},"key":"2A75"},{"category":"Sm","mappings":{"default":{"default":"three consecutive equals signs","short":"three consecutive equals"},"mathspeak":{"default":"three-consecutive-equals"}},"key":"2A76"},{"category":"Sm","mappings":{"default":{"default":"equals sign with two dots above and two dots below"},"mathspeak":{"default":"equals-with-two-dots-above-and-two-dots-below"}},"key":"2A77"},{"category":"Sm","mappings":{"default":{"default":"equivalent with four dots above"},"mathspeak":{"default":"equivalent-with-four-dots-above"}},"key":"2A78"},{"category":"Sm","mappings":{"default":{"default":"less than with circle inside"},"mathspeak":{"default":"less-than-with-circle-inside"}},"key":"2A79"},{"category":"Sm","mappings":{"default":{"default":"greater than with circle inside"},"mathspeak":{"default":"greater-than-with-circle-inside"}},"key":"2A7A"},{"category":"Sm","mappings":{"default":{"default":"less than with question mark above"},"mathspeak":{"default":"less-than-with-question-mark-above"}},"key":"2A7B"},{"category":"Sm","mappings":{"default":{"default":"greater than with question mark above"},"mathspeak":{"default":"greater-than-with-question-mark-above"}},"key":"2A7C"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals"},"mathspeak":{"default":"less-than-or-slanted-equals"}},"key":"2A7D"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals"},"mathspeak":{"default":"greater-than-or-slanted-equals"}},"key":"2A7E"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot inside"},"mathspeak":{"default":"less-than-or-slanted-equals-with-dot-inside"}},"key":"2A7F"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot inside"},"mathspeak":{"default":"greater-than-or-slanted-equals-with-dot-inside"}},"key":"2A80"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above"},"mathspeak":{"default":"less-than-or-slanted-equals-with-dot-above"}},"key":"2A81"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above"},"mathspeak":{"default":"greater-than-or-slanted-equals-with-dot-above"}},"key":"2A82"},{"category":"Sm","mappings":{"default":{"default":"less than or slanted equals with dot above right"},"mathspeak":{"default":"less-than-or-slanted-equals-with-dot-above-right"}},"key":"2A83"},{"category":"Sm","mappings":{"default":{"default":"greater than or slanted equals with dot above left"},"mathspeak":{"default":"greater-than-or-slanted-equals-with-dot-above-left"}},"key":"2A84"},{"category":"Sm","mappings":{"default":{"default":"less than or approximate"},"mathspeak":{"default":"less-than-or-approximate"}},"key":"2A85"},{"category":"Sm","mappings":{"default":{"default":"greater than or approximate"},"mathspeak":{"default":"greater-than-or-approximate"}},"key":"2A86"},{"category":"Sm","mappings":{"default":{"default":"less than and single line not equals"},"mathspeak":{"default":"less-than-and-single-line-not-equals"}},"key":"2A87"},{"category":"Sm","mappings":{"default":{"default":"greater than and single line not equals"},"mathspeak":{"default":"greater-than-and-single-line-not-equals"}},"key":"2A88"},{"category":"Sm","mappings":{"default":{"default":"less than and not approximate"},"mathspeak":{"default":"less-than-and-not-approximate"}},"key":"2A89"},{"category":"Sm","mappings":{"default":{"default":"greater than and not approximate"},"mathspeak":{"default":"greater-than-and-not-approximate"}},"key":"2A8A"},{"category":"Sm","mappings":{"default":{"default":"less than above double line equal above greater than"},"mathspeak":{"default":"less-than-above-double-line-equal-above-greater-than"}},"key":"2A8B"},{"category":"Sm","mappings":{"default":{"default":"greater than above double line equal above less than"},"mathspeak":{"default":"greater-than-above-double-line-equal-above-less-than"}},"key":"2A8C"},{"category":"Sm","mappings":{"default":{"default":"less than above similar or equal"},"mathspeak":{"default":"less-than-above-similar-or-equal"}},"key":"2A8D"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar or equal"},"mathspeak":{"default":"greater-than-above-similar-or-equal"}},"key":"2A8E"},{"category":"Sm","mappings":{"default":{"default":"less than above similar above greater than"},"mathspeak":{"default":"less-than-above-similar-above-greater-than"}},"key":"2A8F"},{"category":"Sm","mappings":{"default":{"default":"greater than above similar above less than"},"mathspeak":{"default":"greater-than-above-similar-above-less-than"}},"key":"2A90"},{"category":"Sm","mappings":{"default":{"default":"less than above greater than above double line equal"},"mathspeak":{"default":"less-than-above-greater-than-above-double-line-equal"}},"key":"2A91"},{"category":"Sm","mappings":{"default":{"default":"greater than above less than above double line equal"},"mathspeak":{"default":"greater-than-above-less-than-above-double-line-equal"}},"key":"2A92"},{"category":"Sm","mappings":{"default":{"default":"less than above slanted equal above greater than above slanted equal"},"mathspeak":{"default":"less-than-above-slanted-equal-above-greater-than-above-slanted-equal"}},"key":"2A93"},{"category":"Sm","mappings":{"default":{"default":"greater than above slanted equal above less than above slanted equal"},"mathspeak":{"default":"greater-than-above-slanted-equal-above-less-than-above-slanted-equal"}},"key":"2A94"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than"},"mathspeak":{"default":"slanted-equals-or-less-than"}},"key":"2A95"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than"},"mathspeak":{"default":"slanted-equals-or-greater-than"}},"key":"2A96"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or less than with dot inside"},"mathspeak":{"default":"slanted-equals-or-less-than-with-dot-inside"}},"key":"2A97"},{"category":"Sm","mappings":{"default":{"default":"slanted equals or greater than with dot inside"},"mathspeak":{"default":"slanted-equals-or-greater-than-with-dot-inside"}},"key":"2A98"},{"category":"Sm","mappings":{"default":{"default":"double line equals or less than"},"mathspeak":{"default":"double-line-equals-or-less-than"}},"key":"2A99"},{"category":"Sm","mappings":{"default":{"default":"double line equals or greater than"},"mathspeak":{"default":"double-line-equals-or-greater-than"}},"key":"2A9A"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or less than"},"mathspeak":{"default":"double-line-slanted-equals-or-less-than"}},"key":"2A9B"},{"category":"Sm","mappings":{"default":{"default":"double line slanted equals or greater than"},"mathspeak":{"default":"double-line-slanted-equals-or-greater-than"}},"key":"2A9C"},{"category":"Sm","mappings":{"default":{"default":"similar or less than"},"mathspeak":{"default":"similar-or-less-than"}},"key":"2A9D"},{"category":"Sm","mappings":{"default":{"default":"similar or greater than"},"mathspeak":{"default":"similar-or-greater-than"}},"key":"2A9E"},{"category":"Sm","mappings":{"default":{"default":"similar above less than above equals sign"},"mathspeak":{"default":"similar-above-less-than-above-equals"}},"key":"2A9F"},{"category":"Sm","mappings":{"default":{"default":"similar above greater than above equals sign"},"mathspeak":{"default":"similar-above-greater-than-above-equals"}},"key":"2AA0"},{"category":"Sm","mappings":{"default":{"default":"double nested less than"},"mathspeak":{"default":"double-nested-less-than"}},"key":"2AA1"},{"category":"Sm","mappings":{"default":{"default":"double nested greater than"},"mathspeak":{"default":"double-nested-greater-than"}},"key":"2AA2"},{"category":"Sm","mappings":{"default":{"default":"double nested less than with underbar"},"mathspeak":{"default":"double-nested-less-than-with-underbar"}},"key":"2AA3"},{"category":"Sm","mappings":{"default":{"default":"greater than overlapping less than"},"mathspeak":{"default":"greater-than-overlapping-less-than"}},"key":"2AA4"},{"category":"Sm","mappings":{"default":{"default":"greater than beside less than"},"mathspeak":{"default":"greater-than-beside-less-than"}},"key":"2AA5"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve"},"mathspeak":{"default":"less-than-closed-by-curve"}},"key":"2AA6"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve"},"mathspeak":{"default":"greater-than-closed-by-curve"}},"key":"2AA7"},{"category":"Sm","mappings":{"default":{"default":"less than closed by curve above slanted equal"},"mathspeak":{"default":"less-than-closed-by-curve-above-slanted-equal"}},"key":"2AA8"},{"category":"Sm","mappings":{"default":{"default":"greater than closed by curve above slanted equal"},"mathspeak":{"default":"greater-than-closed-by-curve-above-slanted-equal"}},"key":"2AA9"},{"category":"Sm","mappings":{"default":{"default":"smaller than"},"mathspeak":{"default":"smaller-than"}},"key":"2AAA"},{"category":"Sm","mappings":{"default":{"default":"larger than"},"mathspeak":{"default":"larger-than"}},"key":"2AAB"},{"category":"Sm","mappings":{"default":{"default":"smaller than or equals"},"mathspeak":{"default":"smaller-than-or-equal-to"}},"key":"2AAC"},{"category":"Sm","mappings":{"default":{"default":"larger than or equals"},"mathspeak":{"default":"larger-than-or-equal-to"}},"key":"2AAD"},{"category":"Sm","mappings":{"default":{"default":"equals sign with bumpy above"},"mathspeak":{"default":"equals-with-bumpy-above"}},"key":"2AAE"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line equals sign"},"mathspeak":{"default":"precedes-above-single-line-equals"}},"key":"2AAF"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line equals sign"},"mathspeak":{"default":"succeeds-above-single-line-equals"}},"key":"2AB0"},{"category":"Sm","mappings":{"default":{"default":"precedes above single line not equals"},"mathspeak":{"default":"precedes-above-single-line-not-equals"}},"key":"2AB1"},{"category":"Sm","mappings":{"default":{"default":"succeeds above single line not equals"},"mathspeak":{"default":"succeeds-above-single-line-not-equals"}},"key":"2AB2"},{"category":"Sm","mappings":{"default":{"default":"precedes above equals sign"},"mathspeak":{"default":"precedes-above-equals"}},"key":"2AB3"},{"category":"Sm","mappings":{"default":{"default":"succeeds above equals sign"},"mathspeak":{"default":"succeeds-above-equals"}},"key":"2AB4"},{"category":"Sm","mappings":{"default":{"default":"precedes above not equals"},"mathspeak":{"default":"precedes-above-not-equals"}},"key":"2AB5"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not equals"},"mathspeak":{"default":"succeeds-above-not-equals"}},"key":"2AB6"},{"category":"Sm","mappings":{"default":{"default":"precedes above almost equals"},"mathspeak":{"default":"precedes-above-almost-equals"}},"key":"2AB7"},{"category":"Sm","mappings":{"default":{"default":"succeeds above almost equals"},"mathspeak":{"default":"succeeds-above-almost-equals"}},"key":"2AB8"},{"category":"Sm","mappings":{"default":{"default":"precedes above not almost equals"},"mathspeak":{"default":"precedes-above-not-almost-equals"}},"key":"2AB9"},{"category":"Sm","mappings":{"default":{"default":"succeeds above not almost equals"},"mathspeak":{"default":"succeeds-above-not-almost-equals"}},"key":"2ABA"},{"category":"Sm","mappings":{"default":{"default":"double precedes"},"mathspeak":{"default":"double-precedes"}},"key":"2ABB"},{"category":"Sm","mappings":{"default":{"default":"double succeeds"},"mathspeak":{"default":"double-succeeds"}},"key":"2ABC"},{"category":"Sm","mappings":{"default":{"default":"subset with dot"},"mathspeak":{"default":"subset-with-dot"}},"key":"2ABD"},{"category":"Sm","mappings":{"default":{"default":"superset with dot"},"mathspeak":{"default":"superset-with-dot"}},"key":"2ABE"},{"category":"Sm","mappings":{"default":{"default":"subset with plus sign below"},"mathspeak":{"default":"subset-with-plus-sign-below"}},"key":"2ABF"},{"category":"Sm","mappings":{"default":{"default":"superset with plus sign below"},"mathspeak":{"default":"superset-with-plus-sign-below"}},"key":"2AC0"},{"category":"Sm","mappings":{"default":{"default":"subset with multiplication sign below"},"mathspeak":{"default":"subset-with-multiplication-sign-below"}},"key":"2AC1"},{"category":"Sm","mappings":{"default":{"default":"superset with multiplication sign below"},"mathspeak":{"default":"superset-with-multiplication-sign-below"}},"key":"2AC2"},{"category":"Sm","mappings":{"default":{"default":"subset of or equals with dot above"},"mathspeak":{"default":"subset-of-or-equal-to-with-dot-above"}},"key":"2AC3"},{"category":"Sm","mappings":{"default":{"default":"superset of or equals with dot above"},"mathspeak":{"default":"superset-of-or-equal-to-with-dot-above"}},"key":"2AC4"},{"category":"Sm","mappings":{"default":{"default":"subset of above equals sign"},"mathspeak":{"default":"subset-of-above-equals"}},"key":"2AC5"},{"category":"Sm","mappings":{"default":{"default":"superset of above equals sign"},"mathspeak":{"default":"superset-of-above-equals"}},"key":"2AC6"},{"category":"Sm","mappings":{"default":{"default":"subset of above tilde operator"},"mathspeak":{"default":"subset-of-above-tilde"}},"key":"2AC7"},{"category":"Sm","mappings":{"default":{"default":"superset of above tilde operator"},"mathspeak":{"default":"superset-of-above-tilde"}},"key":"2AC8"},{"category":"Sm","mappings":{"default":{"default":"subset of above almost equals"},"mathspeak":{"default":"subset-of-above-almost-equals"}},"key":"2AC9"},{"category":"Sm","mappings":{"default":{"default":"superset of above almost equals"},"mathspeak":{"default":"superset-of-above-almost-equals"}},"key":"2ACA"},{"category":"Sm","mappings":{"default":{"default":"subset of above not equals"},"mathspeak":{"default":"subset-of-above-not-equals"}},"key":"2ACB"},{"category":"Sm","mappings":{"default":{"default":"superset of above not equals"},"mathspeak":{"default":"superset-of-above-not-equals"}},"key":"2ACC"},{"category":"Sm","mappings":{"default":{"default":"square left open box operator"},"mathspeak":{"default":"square-left-open-box"}},"key":"2ACD"},{"category":"Sm","mappings":{"default":{"default":"square right open box operator"},"mathspeak":{"default":"square-right-open-box"}},"key":"2ACE"},{"category":"Sm","mappings":{"default":{"default":"closed subset"},"mathspeak":{"default":"closed-subset"}},"key":"2ACF"},{"category":"Sm","mappings":{"default":{"default":"closed superset"},"mathspeak":{"default":"closed-superset"}},"key":"2AD0"},{"category":"Sm","mappings":{"default":{"default":"closed subset or equals"},"mathspeak":{"default":"closed-subset-or-equal-to"}},"key":"2AD1"},{"category":"Sm","mappings":{"default":{"default":"closed superset or equals"},"mathspeak":{"default":"closed-superset-or-equal-to"}},"key":"2AD2"},{"category":"Sm","mappings":{"default":{"default":"subset above superset"},"mathspeak":{"default":"subset-above-superset"}},"key":"2AD3"},{"category":"Sm","mappings":{"default":{"default":"superset above subset"},"mathspeak":{"default":"superset-above-subset"}},"key":"2AD4"},{"category":"Sm","mappings":{"default":{"default":"subset above subset"},"mathspeak":{"default":"subset-above-subset"}},"key":"2AD5"},{"category":"Sm","mappings":{"default":{"default":"superset above superset"},"mathspeak":{"default":"superset-above-superset"}},"key":"2AD6"},{"category":"Sm","mappings":{"default":{"default":"superset beside subset"},"mathspeak":{"default":"superset-beside-subset"}},"key":"2AD7"},{"category":"Sm","mappings":{"default":{"default":"superset beside and joined by dash with subset"},"mathspeak":{"default":"superset-beside-and-joined-by-dash-with-subset"}},"key":"2AD8"},{"category":"Sm","mappings":{"default":{"default":"element of opening downwards"},"mathspeak":{"default":"element-of-opening-downwards"}},"key":"2AD9"},{"category":"Sm","mappings":{"default":{"default":"pitchfork with tee top"},"mathspeak":{"default":"pitchfork-with-tee-top"}},"key":"2ADA"},{"category":"Sm","mappings":{"default":{"default":"transversal intersection"},"mathspeak":{"default":"transversal-intersection"}},"key":"2ADB"},{"category":"Sm","mappings":{"default":{"default":"forking"}},"key":"2ADC"},{"category":"Sm","mappings":{"default":{"default":"nonforking"}},"key":"2ADD"},{"category":"Sm","mappings":{"default":{"default":"short left tack"},"mathspeak":{"default":"short-left-tack"}},"key":"2ADE"},{"category":"Sm","mappings":{"default":{"default":"short down tack"},"mathspeak":{"default":"short-down-tack"}},"key":"2ADF"},{"category":"Sm","mappings":{"default":{"default":"short up tack"},"mathspeak":{"default":"short-up-tack"}},"key":"2AE0"},{"category":"Sm","mappings":{"default":{"default":"perpendicular with s"},"mathspeak":{"default":"perpendicular-with-s"}},"key":"2AE1"},{"category":"Sm","mappings":{"default":{"default":"vertical bar triple right turnstile"},"mathspeak":{"default":"vertical-bar-triple-right-turnstile"}},"key":"2AE2"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar left turnstile"},"mathspeak":{"default":"double-vertical-bar-left-turnstile"}},"key":"2AE3"},{"category":"Sm","mappings":{"default":{"default":"vertical bar double left turnstile"},"mathspeak":{"default":"vertical-bar-double-left-turnstile"}},"key":"2AE4"},{"category":"Sm","mappings":{"default":{"default":"double vertical bar double left turnstile"},"mathspeak":{"default":"double-vertical-bar-double-left-turnstile"}},"key":"2AE5"},{"category":"Sm","mappings":{"default":{"default":"long dash from left member of double vertical"},"mathspeak":{"default":"long-dash-from-left-member-of-double-vertical"}},"key":"2AE6"},{"category":"Sm","mappings":{"default":{"default":"short down tack with overbar"},"mathspeak":{"default":"short-down-tack-with-overbar"}},"key":"2AE7"},{"category":"Sm","mappings":{"default":{"default":"short up tack with underbar"},"mathspeak":{"default":"short-up-tack-with-underbar"}},"key":"2AE8"},{"category":"Sm","mappings":{"default":{"default":"short up tack above short down tack"},"mathspeak":{"default":"short-up-tack-above-short-down-tack"}},"key":"2AE9"},{"category":"Sm","mappings":{"default":{"default":"double down tack"},"mathspeak":{"default":"double-down-tack"}},"key":"2AEA"},{"category":"Sm","mappings":{"default":{"default":"double up tack"},"mathspeak":{"default":"double-up-tack"}},"key":"2AEB"},{"category":"Sm","mappings":{"default":{"default":"double stroke not sign"},"mathspeak":{"default":"double-stroke-not-sign"}},"key":"2AEC"},{"category":"Sm","mappings":{"default":{"default":"reversed double stroke not sign"},"mathspeak":{"default":"reversed-double-stroke-not-sign"}},"key":"2AED"},{"category":"Sm","mappings":{"default":{"default":"does not divide with reversed negation slash"},"mathspeak":{"default":"does-not-divide-with-reversed-negation-slash"}},"key":"2AEE"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle above"},"mathspeak":{"default":"vertical-line-with-circle-above"}},"key":"2AEF"},{"category":"Sm","mappings":{"default":{"default":"vertical line with circle below"},"mathspeak":{"default":"vertical-line-with-circle-below"}},"key":"2AF0"},{"category":"Sm","mappings":{"default":{"default":"down tack with circle below"},"mathspeak":{"default":"down-tack-with-circle-below"}},"key":"2AF1"},{"category":"Sm","mappings":{"default":{"default":"parallel with horizontal stroke"},"mathspeak":{"default":"parallel-with-horizontal-stroke"}},"key":"2AF2"},{"category":"Sm","mappings":{"default":{"default":"parallel with tilde operator"},"mathspeak":{"default":"parallel-with-tilde"}},"key":"2AF3"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar binary relation"},"mathspeak":{"default":"triple-vertical-bar-binary-relation"}},"key":"2AF4"},{"category":"Sm","mappings":{"default":{"default":"triple vertical bar with horizontal stroke"},"mathspeak":{"default":"triple-vertical-bar-with-horizontal-stroke"}},"key":"2AF5"},{"category":"Sm","mappings":{"default":{"default":"triple colon operator"},"mathspeak":{"default":"triple-colon"}},"key":"2AF6"},{"category":"Sm","mappings":{"default":{"default":"triple nested less than"},"mathspeak":{"default":"triple-nested-less-than"}},"key":"2AF7"},{"category":"Sm","mappings":{"default":{"default":"triple nested greater than"},"mathspeak":{"default":"triple-nested-greater-than"}},"key":"2AF8"},{"category":"Sm","mappings":{"default":{"default":"double line slanted less than or equals"},"mathspeak":{"default":"double-line-slanted-less-than-or-equal-to"}},"key":"2AF9"},{"category":"Sm","mappings":{"default":{"default":"double line slanted greater than or equals"},"mathspeak":{"default":"double-line-slanted-greater-than-or-equal-to"}},"key":"2AFA"},{"category":"Sm","mappings":{"default":{"default":"triple solidus binary relation"},"mathspeak":{"default":"triple-solidus-binary-relation"}},"key":"2AFB"},{"category":"Sm","mappings":{"default":{"default":"large triple vertical bar operator"},"mathspeak":{"default":"large-triple-vertical-bar"}},"key":"2AFC"},{"category":"Sm","mappings":{"default":{"default":"double solidus operator"},"mathspeak":{"default":"double-solidus"}},"key":"2AFD"},{"category":"Sm","mappings":{"default":{"default":"white vertical bar"},"mathspeak":{"default":"white-vertical-bar"}},"key":"2AFE"},{"category":"Sm","mappings":{"default":{"default":"n ary white vertical bar"},"mathspeak":{"default":"white-vertical-bar"}},"key":"2AFF"},{"category":"Pd","mappings":{"default":{"default":"wave dash"},"mathspeak":{"default":"wave-dash"}},"key":"301C"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical comma"},"mathspeak":{"default":"presentation-form-for-vertical-comma"}},"key":"FE10"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical colon"},"mathspeak":{"default":"presentation-form-for-vertical-colon"}},"key":"FE13"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical semicolon"},"mathspeak":{"default":"presentation-form-for-vertical-semicolon"}},"key":"FE14"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical exclamation mark"},"mathspeak":{"default":"presentation-form-for-vertical-exclamation-mark"}},"key":"FE15"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical question mark"},"mathspeak":{"default":"presentation-form-for-vertical-question-mark"}},"key":"FE16"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical horizontal ellipsis"},"mathspeak":{"default":"presentation-form-for-vertical-horizontal-ellipsis"}},"key":"FE19"},{"category":"Po","mappings":{"default":{"default":"presentation form for vertical two dot leader","alternative":"glyph for vertical two dot leader"},"mathspeak":{"default":"glyph-for-vertical-two-dot-leader"}},"key":"FE30"},{"category":"Pd","mappings":{"default":{"default":"presentation form for vertical em dash","alternative":"glyph for vertical em dash"},"mathspeak":{"default":"glyph-for-vertical-em-dash"}},"key":"FE31"},{"category":"Pd","mappings":{"default":{"default":"presentation form for vertical en dash","alternative":"glyph for vertical en dash"},"mathspeak":{"default":"glyph-for-vertical-en-dash"}},"key":"FE32"},{"category":"Pc","mappings":{"default":{"default":"presentation form for vertical low line","alternative":"glyph for vertical spacing underscore"},"mathspeak":{"default":"glyph-for-vertical-underscore"}},"key":"FE33"},{"category":"Pc","mappings":{"default":{"default":"presentation form for vertical wavy low line","alternative":"glyph for vertical spacing wavy underscore"},"mathspeak":{"default":"glyph-for-vertical-wavy-underscore"}},"key":"FE34"},{"category":"Po","mappings":{"default":{"default":"sesame dot"},"mathspeak":{"default":"sesame-dot"}},"key":"FE45"},{"category":"Po","mappings":{"default":{"default":"white sesame dot"},"mathspeak":{"default":"white-sesame-dot"}},"key":"FE46"},{"category":"Po","mappings":{"default":{"default":"dashed overline","alternative":"spacing dashed overscore"},"mathspeak":{"default":"dashed-overscore"}},"key":"FE49"},{"category":"Po","mappings":{"default":{"default":"centerline overline","alternative":"spacing centerline overscore"},"mathspeak":{"default":"centerline-overscore"}},"key":"FE4A"},{"category":"Po","mappings":{"default":{"default":"wavy overline","alternative":"spacing wavy overscore"},"mathspeak":{"default":"wavy-overscore"}},"key":"FE4B"},{"category":"Po","mappings":{"default":{"default":"double wavy overline","alternative":"spacing double wavy overscore"},"mathspeak":{"default":"double-wavy-overscore"}},"key":"FE4C"},{"category":"Pc","mappings":{"default":{"default":"dashed low line","alternative":"spacing dashed underscore"},"mathspeak":{"default":"dashed-underscore"}},"key":"FE4D"},{"category":"Pc","mappings":{"default":{"default":"centerline low line","alternative":"spacing centerline underscore"},"mathspeak":{"default":"centerline-underscore"}},"key":"FE4E"},{"category":"Pc","mappings":{"default":{"default":"wavy low line","alternative":"spacing wavy underscore"},"mathspeak":{"default":"wavy-underscore"}},"key":"FE4F"},{"category":"Po","mappings":{"default":{"default":"small comma"},"mathspeak":{"default":"small-comma"}},"key":"FE50"},{"category":"Po","mappings":{"default":{"default":"small full stop","alternative":"small period"},"mathspeak":{"default":"small-period"}},"key":"FE52"},{"category":"Po","mappings":{"default":{"default":"small semicolon"},"mathspeak":{"default":"small-semicolon"}},"key":"FE54"},{"category":"Po","mappings":{"default":{"default":"small colon"},"mathspeak":{"default":"small-colon"}},"key":"FE55"},{"category":"Po","mappings":{"default":{"default":"small question mark"},"mathspeak":{"default":"small-question-mark"}},"key":"FE56"},{"category":"Po","mappings":{"default":{"default":"small exclamation mark"},"mathspeak":{"default":"small-exclamation-mark"}},"key":"FE57"},{"category":"Pd","mappings":{"default":{"default":"small em dash"},"mathspeak":{"default":"small-em-dash"}},"key":"FE58"},{"category":"Po","mappings":{"default":{"default":"small number sign"},"mathspeak":{"default":"small-number-sign"}},"key":"FE5F"},{"category":"Po","mappings":{"default":{"default":"small ampersand"},"mathspeak":{"default":"small-ampersand"}},"key":"FE60"},{"category":"Po","mappings":{"default":{"default":"small asterisk"},"mathspeak":{"default":"small-asterisk"}},"key":"FE61"},{"category":"Sm","mappings":{"default":{"default":"small plus sign"},"mathspeak":{"default":"small-plus-sign"}},"key":"FE62"},{"category":"Pd","mappings":{"default":{"default":"small hyphen minus"},"mathspeak":{"default":"small-hyphen-minus"}},"key":"FE63"},{"category":"Sm","mappings":{"default":{"default":"small less than sign"},"mathspeak":{"default":"small-less-than-sign"}},"key":"FE64"},{"category":"Sm","mappings":{"default":{"default":"small greater than sign"},"mathspeak":{"default":"small-greater-than-sign"}},"key":"FE65"},{"category":"Sm","mappings":{"default":{"default":"small equals sign"},"mathspeak":{"default":"small-equals"}},"key":"FE66"},{"category":"Po","mappings":{"default":{"default":"small reverse solidus","alternative":"small backslash"},"mathspeak":{"default":"small-backslash"}},"key":"FE68"},{"category":"Sc","mappings":{"default":{"default":"small dollar sign"},"mathspeak":{"default":"small-dollar-sign"}},"key":"FE69"},{"category":"Po","mappings":{"default":{"default":"small percent sign"},"mathspeak":{"default":"small-percent-sign"}},"key":"FE6A"},{"category":"Po","mappings":{"default":{"default":"small commercial at"},"mathspeak":{"default":"small-commercial-at"}},"key":"FE6B"},{"category":"Po","mappings":{"default":{"default":"fullwidth exclamation mark"},"mathspeak":{"default":"exclamation-mark"}},"key":"FF01"},{"category":"Po","mappings":{"default":{"default":"fullwidth quotation mark"},"mathspeak":{"default":"quotation-mark"}},"key":"FF02"},{"category":"Po","mappings":{"default":{"default":"fullwidth number sign"},"mathspeak":{"default":"number-sign"}},"key":"FF03"},{"category":"Sc","mappings":{"default":{"default":"fullwidth dollar sign"},"mathspeak":{"default":"dollar-sign"}},"key":"FF04"},{"category":"Po","mappings":{"default":{"default":"fullwidth percent sign"},"mathspeak":{"default":"percent-sign"}},"key":"FF05"},{"category":"Po","mappings":{"default":{"default":"fullwidth ampersand"},"mathspeak":{"default":"ampersand"}},"key":"FF06"},{"category":"Po","mappings":{"default":{"default":"fullwidth apostrophe"},"mathspeak":{"default":"apostrophe"}},"key":"FF07"},{"category":"Po","mappings":{"default":{"default":"fullwidth asterisk"},"mathspeak":{"default":"asterisk"}},"key":"FF0A"},{"category":"Sm","mappings":{"default":{"default":"fullwidth plus sign"},"mathspeak":{"default":"plus-sign"}},"key":"FF0B"},{"category":"Po","mappings":{"default":{"default":"fullwidth comma"},"mathspeak":{"default":"comma"}},"key":"FF0C"},{"category":"Pd","mappings":{"default":{"default":"fullwidth hyphen minus"},"mathspeak":{"default":"hyphen-minus"}},"key":"FF0D"},{"category":"Po","mappings":{"default":{"default":"fullwidth full stop","alternative":"fullwidth period"},"mathspeak":{"default":"period"}},"key":"FF0E"},{"category":"Po","mappings":{"default":{"default":"fullwidth solidus","alternative":"fullwidth slash"},"mathspeak":{"default":"slash"}},"key":"FF0F"},{"category":"Po","mappings":{"default":{"default":"fullwidth colon"},"mathspeak":{"default":"colon"}},"key":"FF1A"},{"category":"Po","mappings":{"default":{"default":"fullwidth semicolon"},"mathspeak":{"default":"semicolon"}},"key":"FF1B"},{"category":"Sm","mappings":{"default":{"default":"fullwidth less than sign"},"mathspeak":{"default":"less-than-sign"}},"key":"FF1C"},{"category":"Sm","mappings":{"default":{"default":"fullwidth equals sign"},"mathspeak":{"default":"equals"}},"key":"FF1D"},{"category":"Sm","mappings":{"default":{"default":"fullwidth greater than sign"},"mathspeak":{"default":"greater-than-sign"}},"key":"FF1E"},{"category":"Po","mappings":{"default":{"default":"fullwidth question mark"},"mathspeak":{"default":"question-mark"}},"key":"FF1F"},{"category":"Po","mappings":{"default":{"default":"fullwidth commercial at"},"mathspeak":{"default":"commercial-at"}},"key":"FF20"},{"category":"Po","mappings":{"default":{"default":"fullwidth reverse solidus","alternative":"fullwidth backslash"},"mathspeak":{"default":"backslash"}},"key":"FF3C"},{"category":"Sk","mappings":{"default":{"default":"fullwidth circumflex accent","alternative":"fullwidth spacing circumflex"},"mathspeak":{"default":"caret"}},"key":"FF3E"},{"category":"Pc","mappings":{"default":{"default":"fullwidth low line","alternative":"fullwidth spacing underscore"},"mathspeak":{"default":"bar"}},"key":"FF3F"},{"category":"Sk","mappings":{"default":{"default":"fullwidth grave accent","alternative":"fullwidth spacing grave"},"mathspeak":{"default":"grave"}},"key":"FF40"},{"category":"Sm","mappings":{"default":{"default":"fullwidth vertical line","alternative":"fullwidth vertical bar"},"mathspeak":{"default":"vertical-bar"}},"key":"FF5C"},{"category":"Sm","mappings":{"default":{"default":"fullwidth tilde","alternative":"fullwidth spacing tilde"},"mathspeak":{"default":"tilde"}},"key":"FF5E"},{"category":"Sc","mappings":{"default":{"default":"fullwidth cent sign"},"mathspeak":{"default":"cent-sign"}},"key":"FFE0"},{"category":"Sc","mappings":{"default":{"default":"fullwidth pound sign"},"mathspeak":{"default":"pound-sign"}},"key":"FFE1"},{"category":"Sm","mappings":{"default":{"default":"fullwidth not sign"},"mathspeak":{"default":"not-sign"}},"key":"FFE2"},{"category":"Sk","mappings":{"default":{"default":"fullwidth macron","alternative":"fullwidth spacing macron"},"mathspeak":{"default":"bar"}},"key":"FFE3"},{"category":"So","mappings":{"default":{"default":"fullwidth broken bar","alternative":"fullwidth broken vertical bar"},"mathspeak":{"default":"broken-vertical-bar"}},"key":"FFE4"},{"category":"Sc","mappings":{"default":{"default":"fullwidth yen sign"},"mathspeak":{"default":"yen-sign"}},"key":"FFE5"},{"category":"Sc","mappings":{"default":{"default":"fullwidth won sign"},"mathspeak":{"default":"won-sign"}},"key":"FFE6"},{"category":"So","mappings":{"default":{"default":"halfwidth forms light vertical"},"mathspeak":{"default":"halfwidth-forms-light-vertical"}},"key":"FFE8"},{"category":"So","mappings":{"default":{"default":"halfwidth black square"},"mathspeak":{"default":"halfwidth-black-square"}},"key":"FFED"},{"category":"So","mappings":{"default":{"default":"halfwidth white circle"},"mathspeak":{"default":"halfwidth-white-circle"}},"key":"FFEE"}]
+"en/symbols/other_stars.js": 
+[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"decimal exponent symbol"}},"key":"23E8"},{"category":"So","mappings":{"default":{"default":"black star"}},"key":"2605"},{"category":"So","mappings":{"default":{"default":"white star"}},"key":"2606"},{"category":"So","mappings":{"default":{"default":"white circle","alternative":"medium white circle"}},"key":"26AA"},{"category":"So","mappings":{"default":{"default":"black circle","alternative":"medium black circle"}},"key":"26AB"},{"category":"So","mappings":{"default":{"default":"white check mark","alternative":"white heavy check mark"}},"key":"2705"},{"category":"So","mappings":{"default":{"default":"check mark"}},"key":"2713"},{"category":"So","mappings":{"default":{"default":"heavy check mark"}},"key":"2714"},{"category":"So","mappings":{"default":{"default":"multiplication x"}},"key":"2715"},{"category":"So","mappings":{"default":{"default":"heavy multiplication x"}},"key":"2716"},{"category":"So","mappings":{"default":{"default":"ballot x"}},"key":"2717"},{"category":"So","mappings":{"default":{"default":"heavy ballot x"}},"key":"2718"},{"category":"So","mappings":{"default":{"default":"open center cross"}},"key":"271B"},{"category":"So","mappings":{"default":{"default":"heavy open center cross"}},"key":"271C"},{"category":"So","mappings":{"default":{"default":"maltese cross"}},"key":"2720"},{"category":"So","mappings":{"default":{"default":"star of david"}},"key":"2721"},{"category":"So","mappings":{"default":{"default":"four teardrop spoked asterisk"}},"key":"2722"},{"category":"So","mappings":{"default":{"default":"four balloon spoked asterisk"}},"key":"2723"},{"category":"So","mappings":{"default":{"default":"heavy four balloon spoked asterisk"}},"key":"2724"},{"category":"So","mappings":{"default":{"default":"four club spoked asterisk"}},"key":"2725"},{"category":"So","mappings":{"default":{"default":"black four pointed star"}},"key":"2726"},{"category":"So","mappings":{"default":{"default":"white four pointed star"}},"key":"2727"},{"category":"So","mappings":{"default":{"default":"sparkles"}},"key":"2728"},{"category":"So","mappings":{"default":{"default":"stress outlined white star"}},"key":"2729"},{"category":"So","mappings":{"default":{"default":"circled white star"}},"key":"272A"},{"category":"So","mappings":{"default":{"default":"open center black star"}},"key":"272B"},{"category":"So","mappings":{"default":{"default":"black center white star"}},"key":"272C"},{"category":"So","mappings":{"default":{"default":"outlined black star"}},"key":"272D"},{"category":"So","mappings":{"default":{"default":"heavy outlined black star"}},"key":"272E"},{"category":"So","mappings":{"default":{"default":"pinwheel star"}},"key":"272F"},{"category":"So","mappings":{"default":{"default":"shadowed white star"}},"key":"2730"},{"category":"So","mappings":{"default":{"default":"heavy asterisk"}},"key":"2731"},{"category":"So","mappings":{"default":{"default":"open center asterisk"}},"key":"2732"},{"category":"So","mappings":{"default":{"default":"eight spoked asterisk"}},"key":"2733"},{"category":"So","mappings":{"default":{"default":"eight pointed black star"}},"key":"2734"},{"category":"So","mappings":{"default":{"default":"eight pointed pinwheel star"}},"key":"2735"},{"category":"So","mappings":{"default":{"default":"six pointed black star"}},"key":"2736"},{"category":"So","mappings":{"default":{"default":"twelve pointed black star"}},"key":"2739"},{"category":"So","mappings":{"default":{"default":"sixteen pointed asterisk"}},"key":"273A"},{"category":"So","mappings":{"default":{"default":"teardrop spoked asterisk"}},"key":"273B"},{"category":"So","mappings":{"default":{"default":"open center teardrop spoked asterisk"}},"key":"273C"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"key":"273D"},{"category":"So","mappings":{"default":{"default":"six petalled black and white florette"}},"key":"273E"},{"category":"So","mappings":{"default":{"default":"black florette"}},"key":"273F"},{"category":"So","mappings":{"default":{"default":"white florette"}},"key":"2740"},{"category":"So","mappings":{"default":{"default":"eight petalled outlined black florette"}},"key":"2741"},{"category":"So","mappings":{"default":{"default":"circled open center eight pointed star"}},"key":"2742"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked pinwheel asterisk"}},"key":"2743"},{"category":"So","mappings":{"default":{"default":"snowflake"}},"key":"2744"},{"category":"So","mappings":{"default":{"default":"tight trifoliate snowflake"}},"key":"2745"},{"category":"So","mappings":{"default":{"default":"heavy chevron snowflake"}},"key":"2746"},{"category":"So","mappings":{"default":{"default":"sparkle"}},"key":"2747"},{"category":"So","mappings":{"default":{"default":"heavy sparkle"}},"key":"2748"},{"category":"So","mappings":{"default":{"default":"balloon spoked asterisk"}},"key":"2749"},{"category":"So","mappings":{"default":{"default":"eight teardrop spoked propeller asterisk"}},"key":"274A"},{"category":"So","mappings":{"default":{"default":"heavy eight teardrop spoked propeller asterisk"}},"key":"274B"},{"category":"So","mappings":{"default":{"default":"cross mark"}},"key":"274C"},{"category":"So","mappings":{"default":{"default":"shadowed white circle"}},"key":"274D"}]
 ,
-"en/math_whitespace.js": 
-[{"locale":"en"},{"category":"Zs","mappings":{"default":{"default":"space"}},"key":"0020"},{"category":"Zs","mappings":{"default":{"default":"no break space","alternative":"non breaking space"}},"key":"00A0"},{"category":"Cf","mappings":{"default":{"default":"soft hyphen"}},"key":"00AD"},{"category":"Zs","mappings":{"default":{"default":"en quad"}},"key":"2000"},{"category":"Zs","mappings":{"default":{"default":"em quad"}},"key":"2001"},{"category":"Zs","mappings":{"default":{"default":"en space"}},"key":"2002"},{"category":"Zs","mappings":{"default":{"default":"em space"}},"key":"2003"},{"category":"Zs","mappings":{"default":{"default":"three per em space"}},"key":"2004"},{"category":"Zs","mappings":{"default":{"default":"four per em space"}},"key":"2005"},{"category":"Zs","mappings":{"default":{"default":"six per em space"}},"key":"2006"},{"category":"Zs","mappings":{"default":{"default":"figure space"}},"key":"2007"},{"category":"Zs","mappings":{"default":{"default":"punctuation space"}},"key":"2008"},{"category":"Zs","mappings":{"default":{"default":"thin space"}},"key":"2009"},{"category":"Zs","mappings":{"default":{"default":"hair space"}},"key":"200A"},{"category":"Cf","mappings":{"default":{"default":"zero width space"}},"key":"200B"},{"category":"Cf","mappings":{"default":{"default":"zero width non joiner"}},"key":"200C"},{"category":"Cf","mappings":{"default":{"default":"zero width joiner"}},"key":"200D"},{"category":"Cf","mappings":{"default":{"default":"left to right mark"}},"key":"200E"},{"category":"Cf","mappings":{"default":{"default":"right to left mark"}},"key":"200F"},{"category":"Zl","mappings":{"default":{"default":"line separator"}},"key":"2028"},{"category":"Zp","mappings":{"default":{"default":"paragraph separator"}},"key":"2029"},{"category":"Cf","mappings":{"default":{"default":"left to right embedding"}},"key":"202A"},{"category":"Cf","mappings":{"default":{"default":"right to left embedding"}},"key":"202B"},{"category":"Cf","mappings":{"default":{"default":"pop directional formatting"}},"key":"202C"},{"category":"Cf","mappings":{"default":{"default":"left to right override"}},"key":"202D"},{"category":"Cf","mappings":{"default":{"default":"right to left override"}},"key":"202E"},{"category":"Zs","mappings":{"default":{"default":"narrow no break space"}},"key":"202F"},{"category":"Zs","mappings":{"default":{"default":"medium mathematical space"}},"key":"205F"},{"category":"Cf","mappings":{"default":{"default":"word joiner"}},"key":"2060"},{"category":"Cf","mappings":{"default":{"default":"function application","short":"of"}},"key":"2061"},{"category":"Cf","mappings":{"default":{"default":"invisible times","short":"times"}},"key":"2062"},{"category":"Cf","mappings":{"default":{"default":"invisible separator","short":"separator"}},"key":"2063"},{"category":"Cf","mappings":{"default":{"default":"invisible plus","short":"plus"}},"key":"2064"},{"category":"Cf","mappings":{"default":{"default":"inhibit symmetric swapping"}},"key":"206A"},{"category":"Cf","mappings":{"default":{"default":"activate symmetric swapping"}},"key":"206B"},{"category":"Cf","mappings":{"default":{"default":"national digit shapes"}},"key":"206E"},{"category":"Cf","mappings":{"default":{"default":"nominal digit shapes"}},"key":"206F"},{"category":"Cf","mappings":{"default":{"default":"zero width no break space","alternative":"byte order mark"}},"key":"FEFF"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation anchor"}},"key":"FFF9"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation separator"}},"key":"FFFA"},{"category":"Cf","mappings":{"default":{"default":"interlinear annotation terminator"}},"key":"FFFB"}]
+"en/units/area.js": 
+[{"locale":"en"},{"category":"other","mappings":{"default":{"default":"square"}},"key":"sq","names":["sq","sq."]},{"category":"area","mappings":{"default":{"default":"square inch"}},"key":"sq inch","names":["sq inch","sq. inch."]},{"category":"area","mappings":{"default":{"default":"square rod"}},"key":"sq rd","names":["sq rd","sq. rd."]},{"category":"area","mappings":{"default":{"default":"square foot","plural":"square feet"}},"key":"sq ft","names":["sq ft","sq. ft."]},{"category":"area","mappings":{"default":{"default":"square yard"}},"key":"sq yd","names":["sq yd","sq. yd."]},{"category":"area","mappings":{"default":{"default":"square mile"}},"key":"sq mi","names":["sq mi","sq. mi."]},{"category":"area","mappings":{"default":{"default":"acre"}},"key":"acr","names":["ac","ac.","acr","acr."]},{"category":"area","mappings":{"default":{"default":"hectare"}},"key":"ha","names":["ha"]}]
 ,
-"en/other_stars.js": 
-[{"locale":"en"},{"category":"So","mappings":{"default":{"default":"decimal exponent symbol"}},"key":"23E8"},{"category":"So","mappings":{"default":{"default":"black star"}},"key":"2605"},{"category":"So","mappings":{"default":{"default":"white star"}},"key":"2606"},{"category":"So","mappings":{"default":{"default":"medium white circle","short":"white circle"}},"key":"26AA"},{"category":"So","mappings":{"default":{"default":"medium black circle","short":"black circle"}},"key":"26AB"},{"category":"So","mappings":{"default":{"default":"white heavy check mark","short":"white check"}},"key":"2705"},{"category":"So","mappings":{"default":{"default":"check mark","short":"check"}},"key":"2713"},{"category":"So","mappings":{"default":{"default":"heavy check mark","short":"heavy check"}},"key":"2714"},{"category":"So","mappings":{"default":{"default":"multiplication x"}},"key":"2715"},{"category":"So","mappings":{"default":{"default":"heavy multiplication x"}},"key":"2716"},{"category":"So","mappings":{"default":{"default":"ballot x"}},"key":"2717"},{"category":"So","mappings":{"default":{"default":"heavy ballot x"}},"key":"2718"},{"category":"So","mappings":{"default":{"default":"open center cross"}},"key":"271B"},{"category":"So","mappings":{"default":{"default":"heavy open center cross"}},"key":"271C"},{"category":"So","mappings":{"default":{"default":"maltese cross"}},"key":"2720"},{"category":"So","mappings":{"default":{"default":"star of david"}},"key":"2721"},{"category":"So","mappings":{"default":{"default":"four teardrop spoked asterisk"}},"key":"2722"},{"category":"So","mappings":{"default":{"default":"four balloon spoked asterisk"}},"key":"2723"},{"category":"So","mappings":{"default":{"default":"heavy four balloon spoked asterisk"}},"key":"2724"},{"category":"So","mappings":{"default":{"default":"four club spoked asterisk"}},"key":"2725"},{"category":"So","mappings":{"default":{"default":"black four pointed star"}},"key":"2726"},{"category":"So","mappings":{"default":{"default":"white four pointed star"}},"key":"2727"},{"category":"So","mappings":{"default":{"default":"sparkles"}},"key":"2728"},{"category":"So","mappings":{"default":{"default":"stress outlined white star"}},"key":"2729"},{"category":"So","mappings":{"default":{"default":"circled white star"}},"key":"272A"},{"category":"So","mappings":{"default":{"default":"open center black star"}},"key":"272B"},{"category":"So","mappings":{"default":{"default":"black center white star"}},"key":"272C"},{"category":"So","mappings":{"default":{"default":"outlined black star"}},"key":"272D"},{"category":"So","mappings":{"default":{"default":"heavy outlined black star"}},"key":"272E"},{"category":"So","mappings":{"default":{"default":"pinwheel star"}},"key":"272F"},{"category":"So","mappings":{"default":{"default":"shadowed white star"}},"key":"2730"},{"category":"So","mappings":{"default":{"default":"heavy asterisk"}},"key":"2731"},{"category":"So","mappings":{"default":{"default":"open center asterisk"}},"key":"2732"},{"category":"So","mappings":{"default":{"default":"eight spoked asterisk"}},"key":"2733"},{"category":"So","mappings":{"default":{"default":"eight pointed black star"}},"key":"2734"},{"category":"So","mappings":{"default":{"default":"eight pointed pinwheel star"}},"key":"2735"},{"category":"So","mappings":{"default":{"default":"six pointed black star"}},"key":"2736"},{"category":"So","mappings":{"default":{"default":"twelve pointed black star"}},"key":"2739"},{"category":"So","mappings":{"default":{"default":"sixteen pointed asterisk"}},"key":"273A"},{"category":"So","mappings":{"default":{"default":"teardrop spoked asterisk"}},"key":"273B"},{"category":"So","mappings":{"default":{"default":"open center teardrop spoked asterisk"}},"key":"273C"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"key":"273D"},{"category":"So","mappings":{"default":{"default":"six petalled black and white florette"}},"key":"273E"},{"category":"So","mappings":{"default":{"default":"black florette"}},"key":"273F"},{"category":"So","mappings":{"default":{"default":"white florette"}},"key":"2740"},{"category":"So","mappings":{"default":{"default":"eight petalled outlined black florette"}},"key":"2741"},{"category":"So","mappings":{"default":{"default":"circled open center eight pointed star"}},"key":"2742"},{"category":"So","mappings":{"default":{"default":"heavy teardrop spoked pinwheel asterisk"}},"key":"2743"},{"category":"So","mappings":{"default":{"default":"snowflake"}},"key":"2744"},{"category":"So","mappings":{"default":{"default":"tight trifoliate snowflake"}},"key":"2745"},{"category":"So","mappings":{"default":{"default":"heavy chevron snowflake"}},"key":"2746"},{"category":"So","mappings":{"default":{"default":"sparkle"}},"key":"2747"},{"category":"So","mappings":{"default":{"default":"heavy sparkle"}},"key":"2748"},{"category":"So","mappings":{"default":{"default":"balloon spoked asterisk"}},"key":"2749"},{"category":"So","mappings":{"default":{"default":"eight teardrop spoked propeller asterisk"}},"key":"274A"},{"category":"So","mappings":{"default":{"default":"heavy eight teardrop spoked propeller asterisk"}},"key":"274B"},{"category":"So","mappings":{"default":{"default":"cross mark"}},"key":"274C"},{"category":"So","mappings":{"default":{"default":"shadowed white circle"}},"key":"274D"}]
+"en/units/currency.js": 
+[{"locale":"en"},{"category":"currency","key":"$","mappings":{"default":{"default":"dollar"}},"names":["$","💲","＄","﹩","USD"]},{"category":"currency","key":"£","mappings":{"default":{"default":"pound"}},"names":["£","￡","GBP"]},{"category":"currency","key":"¥","mappings":{"default":{"default":"yen"}},"names":["¥","￥","JPY"]},{"category":"currency","key":"€","mappings":{"default":{"default":"euro"}},"names":["€","EUR"]},{"category":"currency","key":"₡","mappings":{"default":{"default":"colon"}},"names":["₡","CRC"]},{"category":"currency","key":"₢","mappings":{"default":{"default":"cruzeiro"}},"names":["₢"]},{"category":"currency","key":"₣","mappings":{"default":{"default":"franc"}},"names":["₣"]},{"category":"currency","key":"₤","mappings":{"default":{"default":"lira"}},"names":["₤"]},{"category":"currency","key":"₥","mappings":{"default":{"default":"mill"}},"names":["₥"]},{"category":"currency","key":"₦","mappings":{"default":{"default":"naira"}},"names":["₦","NGN"]},{"category":"currency","key":"₧","mappings":{"default":{"default":"peseta"}},"names":["₧"]},{"category":"currency","key":"₨","mappings":{"default":{"default":"rupee"}},"names":["₨","₹","INR","NPR","PKR","LKR"]},{"category":"currency","key":"₩","mappings":{"default":{"default":"won"}},"names":["₩","￦","KRW"]},{"category":"currency","key":"₪","mappings":{"default":{"default":"sheqel"}},"names":["₪"]},{"category":"currency","key":"₫","mappings":{"default":{"default":"dong"}},"names":["₫"]},{"category":"currency","key":"₭","mappings":{"default":{"default":"kip"}},"names":["₭"]},{"category":"currency","key":"₮","mappings":{"default":{"default":"tugrik"}},"names":["₮"]},{"category":"currency","key":"₯","mappings":{"default":{"default":"drachma"}},"names":["₯"]},{"category":"currency","key":"₰","mappings":{"default":{"default":"Pfennig"}},"names":["₰"]},{"category":"currency","key":"₱","mappings":{"default":{"default":"peso"}},"names":["₱"]},{"category":"currency","key":"₲","mappings":{"default":{"default":"guaranis"}},"names":["₲"]},{"category":"currency","key":"₳","mappings":{"default":{"default":"austral"}},"names":["₳"]},{"category":"currency","key":"₴","mappings":{"default":{"default":"hryvnia"}},"names":["₴","UAH"]},{"category":"currency","key":"₵","mappings":{"default":{"default":"cedis"}},"names":["₵","GHS"]},{"category":"currency","key":"₶","mappings":{"default":{"default":"livre tournois"}},"names":["₶"]},{"category":"currency","key":"₷","mappings":{"default":{"default":"spesmilo"}},"names":["₷"]},{"category":"currency","key":"₸","mappings":{"default":{"default":"tenge"}},"names":["₸","KZT"]},{"category":"currency","key":"₺","mappings":{"default":{"default":"turkish lira"}},"names":["₺","TRY"]},{"category":"currency","key":"元","mappings":{"default":{"default":"yuan"}},"names":["元"]},{"category":"currency","key":"¢","mappings":{"default":{"default":"cent"}},"names":["￠","¢"]}]
 ,
-"en/energy.js": 
-[{"locale":"en"},{"category":"energy","mappings":{"default":{"default":"watts"}},"key":"W","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"kilowatts"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"milliwatts"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"kilowatt hours"}},"key":"kwh","names":["kwh","kWh"]},{"category":"energy","mappings":{"default":{"default":"joules"}},"key":"J","names":["J"]},{"category":"energy","mappings":{"default":{"default":"Newton"}},"key":"N","names":["N"]},{"category":"energy","mappings":{"default":{"default":"amperes"}},"key":"A","names":["A"]},{"category":"energy","mappings":{"default":{"default":"volts"}},"key":"V","names":["V"]},{"category":"energy","mappings":{"default":{"default":"microohm"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"milliohm"}},"key":"mΩ","names":["mΩ"]},{"category":"energy","mappings":{"default":{"default":"ohm"}},"key":"Ω","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"kilohm"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"ohm"}},"key":"Ω","names":["Ω"]},{"category":"energy","mappings":{"default":{"default":"megaohm"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"gigaohm"}},"key":"GΩ","names":["GΩ"]}]
+"en/units/energy.js": 
+[{"locale":"en"},{"category":"energy","mappings":{"default":{"default":"watt"}},"key":"W","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"kilowatt"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"milliwatt"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"kilowatt hour"}},"key":"kwh","names":["kwh","kWh"]},{"category":"energy","mappings":{"default":{"default":"joule"}},"key":"J","names":["J"]},{"category":"energy","mappings":{"default":{"default":"Newton"}},"key":"N","names":["N"]},{"category":"energy","mappings":{"default":{"default":"ampere"}},"key":"A","names":["A"]},{"category":"energy","mappings":{"default":{"default":"volt"}},"key":"V","names":["V"]},{"category":"energy","mappings":{"default":{"default":"microohm"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"milliohm"}},"key":"mΩ","names":["mΩ"]},{"category":"energy","mappings":{"default":{"default":"ohm"}},"key":"Ω","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"kilohm"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"megaohm"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"gigaohm"}},"key":"GΩ","names":["GΩ"]}]
 ,
-"en/length.js": 
-[{"locale":"en"},{"category":"Length","mappings":{"default":{"default":"millimeters"}},"key":"mm","names":["mm"]},{"category":"Length","mappings":{"default":{"default":"centimeters"}},"key":"cm","names":["cm"]},{"category":"Length","mappings":{"default":{"default":"meters"}},"key":"m","names":["m"]},{"category":"Length","mappings":{"default":{"default":"kilometers"}},"key":"km","names":["km"]},{"category":"Length","mappings":{"default":{"default":"feet"}},"key":"ft","names":["ft","ft."]},{"category":"Length","mappings":{"default":{"default":"inches"}},"key":"in","names":["in","in."]},{"category":"Length","mappings":{"default":{"default":"miles"}},"key":"mi","names":["mi","mi."]},{"category":"Length","mappings":{"default":{"default":"yards"}},"key":"yd","names":["yd","yd."]},{"category":"","mappings":{"default":{"default":"nautical miles"}},"key":"n.m.","names":["n.m."]}]
+"en/units/length.js": 
+[{"locale":"en"},{"category":"length","mappings":{"default":{"default":"foot"}},"key":"ft","names":["ft","ft."]},{"category":"length","mappings":{"default":{"default":"inch"}},"key":"in","names":["in","in."]},{"category":"length","mappings":{"default":{"default":"mile"}},"key":"mi","names":["mi","mi."]},{"category":"length","mappings":{"default":{"default":"yard"}},"key":"yd","names":["yd","yd."]},{"category":"length","mappings":{"default":{"default":"link"}},"key":"link","names":["li","li."]},{"category":"length","mappings":{"default":{"default":"rod"}},"key":"rod","names":["rd","rd."]},{"category":"length","mappings":{"default":{"default":"chain"}},"key":"chain","names":["ch","ch."]},{"category":"length","mappings":{"default":{"default":"furlong"}},"key":"furlong","names":["fur","fur."]},{"category":"length","mappings":{"default":{"default":"nautical mile"}},"key":"n.m.","names":["n.m."]},{"category":"length","mappings":{"default":{"default":"millimeter"}},"key":"mm","names":["mm"]},{"category":"length","mappings":{"default":{"default":"centimeter"}},"key":"cm","names":["cm"]},{"category":"length","mappings":{"default":{"default":"meter"}},"key":"m","names":["m"]},{"category":"length","mappings":{"default":{"default":"kilometer"}},"key":"km","names":["km"]}]
 ,
-"en/memory.js": 
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"bits"}},"key":"b","names":["b"]},{"category":"","mappings":{"default":{"default":"bytes"}},"key":"B","names":["B"]},{"category":"","mappings":{"default":{"default":"kilobytes"}},"key":"KB","names":["KB"]},{"category":"","mappings":{"default":{"default":"megabytes"}},"key":"MB","names":["MB"]},{"category":"","mappings":{"default":{"default":"gigabytes"}},"key":"GB","names":["GB"]},{"category":"","mappings":{"default":{"default":"terabytes"}},"key":"TB","names":["TB"]}]
+"en/units/memory.js": 
+[{"locale":"en"},{"category":"memory","mappings":{"default":{"default":"bit"}},"key":"b","names":["b"]},{"category":"memory","mappings":{"default":{"default":"byte"}},"key":"B","names":["B"]},{"category":"memory","mappings":{"default":{"default":"kilobyte"}},"key":"KB","names":["KB"]},{"category":"memory","mappings":{"default":{"default":"megabyte"}},"key":"MB","names":["MB"]},{"category":"memory","mappings":{"default":{"default":"gigabyte"}},"key":"GB","names":["GB"]},{"category":"memory","mappings":{"default":{"default":"terabyte"}},"key":"TB","names":["TB"]}]
 ,
-"en/other.js": 
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"dozen"}},"key":"doz","names":["doz","doz.","dz","dz."]},{"category":"","mappings":{"default":{"default":"square"}},"key":"sq","names":["sq","sq."]},{"category":"","mappings":{"default":{"default":"hectare"}},"key":"ha","names":["ha"]}]
+"en/units/other.js": 
+[{"locale":"en"},{"category":"other","mappings":{"default":{"default":"dozen"}},"key":"doz","names":["doz","doz.","dz","dz."]}]
 ,
-"en/speed.js": 
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"knot"}},"key":"kt","names":["kt","kt."]},{"category":"","mappings":{"default":{"default":"miles per hour"}},"key":"mph","names":["mph"]},{"category":"","mappings":{"default":{"default":"revolutions per minute"}},"key":"rpm","names":["rpm"]},{"category":"","mappings":{"default":{"default":"kilometers per hour"}},"key":"kmh","names":["kmh"]}]
+"en/units/speed.js": 
+[{"locale":"en"},{"category":"speed","mappings":{"default":{"default":"knot"}},"key":"kt","names":["kt","kt."]},{"category":"speed","mappings":{"default":{"default":"miles per hour"}},"key":"mph","names":["mph"]},{"category":"speed","mappings":{"default":{"default":"revolutions per minute"}},"key":"rpm","names":["rpm"]},{"category":"speed","mappings":{"default":{"default":"kilometers per hour"}},"key":"kmh","names":["kmh"]}]
 ,
-"en/temperature.js": 
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"Fahrenheit"}},"key":"F","names":["F","F.","°F"]},{"category":"","mappings":{"default":{"default":"Celsius","alternative":"Centigrade"}},"key":"C","names":["C","°C"]},{"category":"","mappings":{"default":{"default":"Kelvin"}},"key":"K","names":["K","°K"]}]
+"en/units/temperature.js": 
+[{"locale":"en"},{"category":"temperature","mappings":{"default":{"default":"Fahrenheit"}},"key":"F","names":["F","F.","°F"]},{"category":"temperature","mappings":{"default":{"default":"Celsius","alternative":"Centigrade"}},"key":"C","names":["C","°C"]},{"category":"temperature","mappings":{"default":{"default":"Kelvin"}},"key":"K","names":["K","°K"]}]
 ,
-"en/time.js": 
-[{"locale":"en"},{"category":"time","mappings":{"default":{"default":"nanoseconds"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"microseconds"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"milliseconds"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"seconds"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"minutes"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"hours"}},"key":"h","names":["h","hr"]}]
+"en/units/time.js": 
+[{"locale":"en"},{"category":"time","mappings":{"default":{"default":"nanosecond"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"microsecond"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"millisecond"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"second"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"minute"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"hour"}},"key":"h","names":["h","hr"]}]
 ,
-"en/volume.js": 
-[{"locale":"en"},{"category":"volume","mappings":{"default":{"default":"barrels"}},"key":"bbl","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"cubics"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"fluid ounces"}},"key":"fl. oz.","names":["fl. oz."]},{"category":"volume","mappings":{"default":{"default":"gallons"}},"key":"gal","names":["gal","gal."]},{"category":"volume","mappings":{"default":{"default":"pints"}},"key":"pt","names":["pt","pt."]},{"category":"volume","mappings":{"default":{"default":"quarts"}},"key":"qt","names":["qt","qt."]},{"category":"volume","mappings":{"default":{"default":"tablespoons"}},"key":"tbsp","names":["tbsp","tbsp."]},{"category":"volume","mappings":{"default":{"default":"teaspoons"}},"key":"tsp","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"cubic centimeters"}},"key":"cc","names":["cc"]},{"category":"volume","mappings":{"default":{"default":"kiloliters"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"liters"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"milliliters"}},"key":"ml","names":["ml"]}]
+"en/units/volume.js": 
+[{"locale":"en"},{"category":"volume","mappings":{"default":{"default":"cubic"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"cubic inch"}},"key":"cu inch","names":["cu in","cu. in."]},{"category":"volume","mappings":{"default":{"default":"cubic foot","plural":"cubic feet"}},"key":"cu ft","names":["cu ft","cu. ft."]},{"category":"volume","mappings":{"default":{"default":"cubic yard"}},"key":"cu yd","names":["cu yd","cu. yd."]},{"category":"volume","mappings":{"default":{"default":"barrel"}},"key":"bbl","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"fluid ounce"}},"key":"fl. oz.","names":["fl. oz.","fl oz"]},{"category":"volume","mappings":{"default":{"default":"gallon"}},"key":"gal","names":["gal","gal."]},{"category":"volume","mappings":{"default":{"default":"pint"}},"key":"pt","names":["pt","pt."]},{"category":"volume","mappings":{"default":{"default":"quart"}},"key":"qt","names":["qt","qt."]},{"category":"volume","mappings":{"default":{"default":"fluid dram"}},"key":"fluid dram","names":["fl dr","fl. dr."]},{"category":"volume","mappings":{"default":{"default":"tablespoon"}},"key":"tbsp","names":["tbsp","tbsp.","Tbsp","Tbsp."]},{"category":"volume","mappings":{"default":{"default":"teaspoon"}},"key":"tsp","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"cup"}},"key":"cup","names":["cp","cp."]},{"category":"volume","mappings":{"default":{"default":"cubic centimeter"}},"key":"cc","names":["cc","ccm"]},{"category":"volume","mappings":{"default":{"default":"kiloliter"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"liter"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"milliliter"}},"key":"ml","names":["ml"]}]
 ,
-"en/weight.js": 
-[{"locale":"en"},{"category":"","mappings":{"default":{"default":"pounds"}},"key":"lb","names":["lb","lb."]},{"category":"","mappings":{"default":{"default":"long tons"}},"key":"LT","names":["LT","L.T."]},{"category":"","mappings":{"default":{"default":"ounces"}},"key":"oz","names":["oz","oz."]},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"micrograms"}}},{"category":"","mappings":{"default":{"default":"grams"}},"key":"gr","names":["g","gr"]},{"category":"","mappings":{"default":{"default":"kilograms"}},"key":"kg","names":["kg"]},{"category":"","mappings":{"default":{"default":"micrograms"}},"key":"mcg","names":["mg","µg"]},{"category":"","mappings":{"default":{"default":"milligrams"}},"key":"mg","names":["mg"]},{"category":"","mappings":{"default":{"default":"tons"}},"key":"t","names":["t","T"]}]
+"en/units/weight.js": 
+[{"locale":"en"},{"category":"weight","mappings":{"default":{"default":"dram"}},"key":"dram","names":["dr","dr."]},{"category":"weight","mappings":{"default":{"default":"ounce"}},"key":"oz","names":["oz","oz."]},{"category":"weight","mappings":{"default":{"default":"pound"}},"key":"lb","names":["lb","lb."]},{"category":"weight","mappings":{"default":{"default":"stone"}},"key":"st","names":["st","st."]},{"category":"weight","mappings":{"default":{"default":"quarter"}},"key":"qtr","names":["qtr","qtr."]},{"category":"weight","mappings":{"default":{"default":"hundredweight"}},"key":"cwt","names":["cwt","cwt."]},{"category":"weight","mappings":{"default":{"default":"long ton"}},"key":"LT","names":["LT","L.T."]},{"category":"weight","mappings":{"default":{"default":"gram"}},"key":"gr","names":["g","gr"]},{"category":"weight","mappings":{"default":{"default":"kilogram"}},"key":"kg","names":["kg"]},{"category":"weight","mappings":{"default":{"default":"microgram"}},"key":"mcg","names":["mcg","µg"]},{"category":"weight","mappings":{"default":{"default":"milligram"}},"key":"mg","names":["mg"]},{"category":"weight","mappings":{"default":{"default":"ton"}},"key":"t","names":["t","T"]}]
 ,
-"es/algebra.js": 
+"es/functions/algebra.js": 
 [{"locale":"es"},{"key":"deg","names":["deg"],"mappings":{"default":{"default":"grados"}},"category":"Algebra"},{"key":"det","names":["det"],"mappings":{"default":{"default":"determinante"}},"category":"Algebra"},{"key":"dim","names":["dim"],"mappings":{"default":{"default":"dimensión"}},"category":"Algebra"},{"key":"hom","names":["hom","Hom"],"mappings":{"default":{"default":"homomorfismo"}},"category":"Algebra"},{"key":"ker","names":["ker"],"mappings":{"default":{"default":"kernel"}},"category":"Algebra"},{"key":"Tr","names":["Tr","tr"],"mappings":{"default":{"default":"traza"}},"category":"Algebra"}]
 ,
-"es/elementary.js": 
-[{"locale":"es"},{"key":"log","names":["log"],"mappings":{"default":{"default":"logaritmo"}},"category":"Logarithm"},{"key":"ln","names":["ln"],"mappings":{"default":{"default":"logaritmo neperiano"}},"category":"Logarithm"},{"key":"lg","names":["lg"],"mappings":{"default":{"default":"logaritmo base 10"}},"category":"Logarithm"},{"key":"exp","names":["exp","expt"],"mappings":{"default":{"default":"exponente"}},"category":"Elementary"},{"key":"gcd","names":["gcd"],"mappings":{"default":{"default":"MCD"}},"category":"Elementary"},{"key":"lcm","names":["lcm"],"mappings":{"default":{"default":"mcm"}},"category":"Elementary"},{"key":"arg","names":["arg"],"mappings":{"default":{"default":"argumento"}},"category":"Complex"},{"key":"im","names":["im"],"mappings":{"default":{"default":"parte imaginaria"}},"category":"Complex"},{"key":"re","names":["re"],"mappings":{"default":{"default":"residuo"}},"category":"Complex"},{"key":"inf","names":["inf"],"mappings":{"default":{"default":"extremo inferior"}},"category":"Limits"},{"key":"lim","names":["lim"],"mappings":{"default":{"default":"límite"}},"category":"Limits"},{"key":"max","names":["max"],"mappings":{"default":{"default":"máximo"}},"category":"Limits"},{"key":"min","names":["min"],"mappings":{"default":{"default":"mínimo"}},"category":"Limits"},{"key":"sup","names":["sup"],"mappings":{"default":{"default":"superior"}},"category":"Limits"},{"key":"lim inf","names":["lim inf","liminf"],"mappings":{"default":{"default":"límite inferior"}},"category":"Limits"},{"key":"lim sup","names":["lim sup","limsup"],"mappings":{"default":{"default":"límite superior"}},"category":"Limits"},{"key":"injlim","names":["injlim","inj lim"],"mappings":{"default":{"default":"límite directo"}},"category":"Limits"},{"key":"projlim","names":["projlim","proj lim"],"mappings":{"default":{"default":"límite inverso"}},"category":"Limits"},{"key":"mod","names":["mod"],"mappings":{"default":{"default":"módulo"}},"category":"Elementary"},{"key":"Pr","names":["Pr"],"mappings":{"default":{"default":"probabilidad"}},"category":"Probability"}]
+"es/functions/elementary.js": 
+[{"locale":"es"},{"key":"log","names":["log"],"mappings":{"default":{"default":"logaritmo"}},"category":"Logarithm"},{"key":"ln","names":["ln"],"mappings":{"default":{"default":"logaritmo neperiano"}},"category":"Logarithm"},{"key":"lg","names":["lg"],"mappings":{"default":{"default":"logaritmo base 10"}},"category":"Logarithm"},{"key":"exp","names":["exp","expt"],"mappings":{"default":{"default":"exponente"}},"category":"Elementary"},{"key":"gcd","names":["gcd","mcd","MCD"],"mappings":{"default":{"default":"MCD"}},"category":"Elementary"},{"key":"lcm","names":["lcm","mcm","MCM"],"mappings":{"default":{"default":"mcm"}},"category":"Elementary"},{"key":"arg","names":["arg"],"mappings":{"default":{"default":"argumento"}},"category":"Complex"},{"key":"im","names":["im"],"mappings":{"default":{"default":"parte imaginaria"}},"category":"Complex"},{"key":"re","names":["re"],"mappings":{"default":{"default":"residuo"}},"category":"Complex"},{"key":"inf","names":["inf"],"mappings":{"default":{"default":"extremo inferior"}},"category":"Limits"},{"key":"lim","names":["lim"],"mappings":{"default":{"default":"límite"}},"category":"Limits"},{"key":"max","names":["max"],"mappings":{"default":{"default":"máximo"}},"category":"Limits"},{"key":"min","names":["min"],"mappings":{"default":{"default":"mínimo"}},"category":"Limits"},{"key":"sup","names":["sup"],"mappings":{"default":{"default":"superior"}},"category":"Limits"},{"key":"lim inf","names":["lim inf","liminf"],"mappings":{"default":{"default":"límite inferior"}},"category":"Limits"},{"key":"lim sup","names":["lim sup","limsup"],"mappings":{"default":{"default":"límite superior"}},"category":"Limits"},{"key":"injlim","names":["injlim","inj lim"],"mappings":{"default":{"default":"límite directo"}},"category":"Limits"},{"key":"projlim","names":["projlim","proj lim"],"mappings":{"default":{"default":"límite inverso"}},"category":"Limits"},{"key":"mod","names":["mod"],"mappings":{"default":{"default":"módulo"}},"category":"Elementary"},{"key":"Pr","names":["Pr"],"mappings":{"default":{"default":"probabilidad"}},"category":"Probability"}]
 ,
-"es/hyperbolic.js": 
+"es/functions/hyperbolic.js": 
 [{"locale":"es"},{"key":"cosh","names":["cosh"],"mappings":{"default":{"default":"coseno hiperbólico"}},"category":"Hyperbolic"},{"key":"coth","names":["coth"],"mappings":{"default":{"default":"cotangente hiperbólica"}},"category":"Hyperbolic"},{"key":"csch","names":["csch"],"mappings":{"default":{"default":"cosecante hiperbólica"}},"category":"Hyperbolic"},{"key":"sech","names":["sech"],"mappings":{"default":{"default":"secante hiperbólica"}},"category":"Hyperbolic"},{"key":"sinh","names":["sinh"],"mappings":{"default":{"default":"seno hiperbólico"}},"category":"Hyperbolic"},{"key":"tanh","names":["tanh"],"mappings":{"default":{"default":"tangente hiperbólica"}},"category":"Hyperbolic"},{"key":"arcosh","names":["arcosh","arccosh"],"mappings":{"default":{"default":"area coseno hiperbólico"}},"category":"Area"},{"key":"arcoth","names":["arcoth","arccoth"],"mappings":{"default":{"default":"area cotangente hiperbólica"}},"category":"Area"},{"key":"arcsch","names":["arcsch","arccsch"],"mappings":{"default":{"default":"area cosecante hiperbólica"}},"category":"Area"},{"key":"arsech","names":["arsech","arcsech"],"mappings":{"default":{"default":"area secante hiperbólica"}},"category":"Area"},{"key":"arsinh","names":["arsinh","arcsinh"],"mappings":{"default":{"default":"area seno hiperbólico"}},"category":"Area"},{"key":"artanh","names":["artanh","arctanh"],"mappings":{"default":{"default":"area tangente hiperbólica"}},"category":"Area"}]
 ,
-"es/trigonometry.js": 
+"es/functions/trigonometry.js": 
 [{"locale":"es"},{"key":"cos","names":["cos","cosine"],"mappings":{"default":{"default":"coseno"}},"category":"Trigonometric"},{"key":"cot","names":["cot"],"mappings":{"default":{"default":"cotangente"}},"category":"Trigonometric"},{"key":"csc","names":["csc"],"mappings":{"default":{"default":"cosecante"}},"category":"Trigonometric"},{"key":"sec","names":["sec"],"mappings":{"default":{"default":"secant"}},"category":"Trigonometric"},{"key":"sin","names":["sin","sine","sen"],"mappings":{"default":{"default":"seno"}},"category":"Trigonometric"},{"key":"tan","names":["tan"],"mappings":{"default":{"default":"tangente"}},"category":"Trigonometric"},{"key":"arccos","names":["arccos"],"mappings":{"default":{"default":"arco coseno"}},"category":"Cyclometric"},{"key":"arccot","names":["arccot"],"mappings":{"default":{"default":"arco cotangente"}},"category":"Cyclometric"},{"key":"arccsc","names":["arccsc"],"mappings":{"default":{"default":"arco cosecante"}},"category":"Cyclometric"},{"key":"arcsec","names":["arcsec"],"mappings":{"default":{"default":"arco secante"}},"category":"Cyclometric"},{"key":"arcsin","names":["arcsin"],"mappings":{"default":{"default":"arco seno"}},"category":"Cyclometric"},{"key":"arctan","names":["arctan"],"mappings":{"default":{"default":"arco tangente"}},"category":"Cyclometric"}]
 ,
-"es/greek-capital.js": 
-[{"locale":"es"},{"key":"0391","mappings":{"default":{"default":"mayúscula Alfa"}},"category":"Lu"},{"key":"0392","mappings":{"default":{"default":"mayúscula Beta"}},"category":"Lu"},{"key":"0393","mappings":{"default":{"default":"mayúscula Gamma"}},"category":"Lu"},{"key":"0394","mappings":{"default":{"default":"mayúscula Delta"}},"category":"Lu"},{"key":"0395","mappings":{"default":{"default":"mayúscula Épsilon"}},"category":"Lu"},{"key":"0396","mappings":{"default":{"default":"mayúscula Zeta"}},"category":"Lu"},{"key":"0397","mappings":{"default":{"default":"mayúscula Eta"}},"category":"Lu"},{"key":"0398","mappings":{"default":{"default":"mayúscula Theta"}},"category":"Lu"},{"key":"0399","mappings":{"default":{"default":"mayúscula Iota"}},"category":"Lu"},{"key":"039A","mappings":{"default":{"default":"mayúscula Kappa"}},"category":"Lu"},{"key":"039B","mappings":{"default":{"default":"mayúscula Lambda"}},"category":"Lu"},{"key":"039C","mappings":{"default":{"default":"mayúscula Mi"}},"category":"Lu"},{"key":"039D","mappings":{"default":{"default":"mayúscula Ni"}},"category":"Lu"},{"key":"039E","mappings":{"default":{"default":"mayúscula Xi"}},"category":"Lu"},{"key":"039F","mappings":{"default":{"default":"mayúscula Ómicron"}},"category":"Lu"},{"key":"03A0","mappings":{"default":{"default":"mayúscula Pi"}},"category":"Lu"},{"key":"03A1","mappings":{"default":{"default":"mayúscula Rho"}},"category":"Lu"},{"key":"03A3","mappings":{"default":{"default":"mayúscula Sigma"}},"category":"Lu"},{"key":"03A4","mappings":{"default":{"default":"mayúscula Tau"}},"category":"Lu"},{"key":"03A5","mappings":{"default":{"default":"mayúscula Ípsilon"}},"category":"Lu"},{"key":"03A6","mappings":{"default":{"default":"mayúscula Phi"}},"category":"Lu"},{"key":"03A7","mappings":{"default":{"default":"mayúscula Ji"}},"category":"Lu"},{"key":"03A8","mappings":{"default":{"default":"mayúscula Psi"}},"category":"Lu"},{"key":"03A9","mappings":{"default":{"default":"mayúscula Omega"}},"category":"Lu"}]
+"es/symbols/digits_rest.js": 
+[{"locale":"es"},{"category":"No","mappings":{"default":{"default":"al cuadrado"},"mathspeak":{"default":"al cuadrado"},"clearspeak":{"default":"al cuadrado"}},"key":"00B2"},{"category":"No","mappings":{"default":{"default":"al cubo"},"mathspeak":{"default":"al cubo"},"clearspeak":{"default":"al cubo"}},"key":"00B3"},{"category":"No","mappings":{"default":{"default":"un cuarto"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"un medio"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"tres cuartos"}},"key":"00BE"},{"category":"No","key":"2150","mappings":{"default":{"default":"Vulgar Fracción Un Séptimo"}}},{"category":"No","key":"2151","mappings":{"default":{"default":"Vulgar Fracción Un Noveno"}}},{"category":"No","key":"2152","mappings":{"default":{"default":"Vulgar Fracción Un Décimo"}}},{"category":"No","key":"2153","mappings":{"default":{"default":"Vulgar Fracción Un Tercero"}}},{"category":"No","key":"2154","mappings":{"default":{"default":"Fracción vulgar dos tercios"}}},{"category":"No","key":"2155","mappings":{"default":{"default":"Vulgar Fraction One Fifth"}}},{"category":"No","key":"2156","mappings":{"default":{"default":"Fracción vulgar dos quintos"}}},{"category":"No","key":"2157","mappings":{"default":{"default":"Fracción vulgar tres quintos"}}},{"category":"No","key":"2158","mappings":{"default":{"default":"Fracción vulgar cuatro quintos"}}},{"category":"No","key":"2159","mappings":{"default":{"default":"Vulgar Fracción Un Sexto"}}},{"category":"No","key":"215A","mappings":{"default":{"default":"Vulgar fracción cinco sextos"}}},{"category":"No","key":"215B","mappings":{"default":{"default":"Vulgar Fracción Un Octavo"}}},{"category":"No","key":"215C","mappings":{"default":{"default":"Fracción vulgar tres octavos"}}},{"category":"No","key":"215D","mappings":{"default":{"default":"Fracción vulgar cinco octavos"}}},{"category":"No","key":"215E","mappings":{"default":{"default":"Fracción vulgar siete octavos"}}},{"category":"No","key":"215F","mappings":{"default":{"default":"Numerador de fracciones uno"}}},{"category":"No","key":"2189","mappings":{"default":{"default":"Vulgar Fraction Zero Thirds"}}},{"category":"No","key":"3248","mappings":{"default":{"default":"Número diez en un círculo en la Plaza Negra"}}},{"category":"No","key":"3249","mappings":{"default":{"default":"Número veinte en un círculo en la Plaza Negra"}}},{"category":"No","key":"324A","mappings":{"default":{"default":"Número circundado treinta en cuadrado negro"}}},{"category":"No","key":"324B","mappings":{"default":{"default":"Número circundado Cuarenta en cuadrado negro"}}},{"category":"No","key":"324C","mappings":{"default":{"default":"Círculo número cincuenta en la plaza negra"}}},{"category":"No","key":"324D","mappings":{"default":{"default":"Círculo número sesenta en la plaza negra"}}},{"category":"No","key":"324E","mappings":{"default":{"default":"Número setenta en un círculo en la Plaza Negra"}}},{"category":"No","key":"324F","mappings":{"default":{"default":"Círculo número ochenta en cuadrado negro"}}}]
 ,
-"es/greek-mathfonts-bold.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Alfa"}},"key":"1D6A8"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Beta"}},"key":"1D6A9"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Gamma"}},"key":"1D6AA"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Delta"}},"key":"1D6AB"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Épsilon"}},"key":"1D6AC"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Zeta"}},"key":"1D6AD"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Eta"}},"key":"1D6AE"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Theta"}},"key":"1D6AF"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Iota"}},"key":"1D6B0"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Kappa"}},"key":"1D6B1"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Lambda"}},"key":"1D6B2"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Mi"}},"key":"1D6B3"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ni"}},"key":"1D6B4"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Xi"}},"key":"1D6B5"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ómicron"}},"key":"1D6B6"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Pi"}},"key":"1D6B7"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Rho"}},"key":"1D6B8"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Sigma"}},"key":"1D6BA"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Tau"}},"key":"1D6BB"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ípsilon"}},"key":"1D6BC"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Phi"}},"key":"1D6BD"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Ji"}},"key":"1D6BE"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Psi"}},"key":"1D6BF"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Omega"}},"key":"1D6C0"},{"category":"Ll","mappings":{"default":{"default":"negrita alfa"}},"key":"1D6C2"},{"category":"Ll","mappings":{"default":{"default":"negrita beta"}},"key":"1D6C3"},{"category":"Ll","mappings":{"default":{"default":"negrita gamma"}},"key":"1D6C4"},{"category":"Ll","mappings":{"default":{"default":"negrita delta"}},"key":"1D6C5"},{"category":"Ll","mappings":{"default":{"default":"negrita épsilon"}},"key":"1D6C6"},{"category":"Ll","mappings":{"default":{"default":"negrita zeta"}},"key":"1D6C7"},{"category":"Ll","mappings":{"default":{"default":"negrita eta"}},"key":"1D6C8"},{"category":"Ll","mappings":{"default":{"default":"negrita theta"}},"key":"1D6C9"},{"category":"Ll","mappings":{"default":{"default":"negrita iota"}},"key":"1D6CA"},{"category":"Ll","mappings":{"default":{"default":"negrita kappa"}},"key":"1D6CB"},{"category":"Ll","mappings":{"default":{"default":"negrita lambda"}},"key":"1D6CC"},{"category":"Ll","mappings":{"default":{"default":"negrita mi"}},"key":"1D6CD"},{"category":"Ll","mappings":{"default":{"default":"negrita ni"}},"key":"1D6CE"},{"category":"Ll","mappings":{"default":{"default":"negrita xi"}},"key":"1D6CF"},{"category":"Ll","mappings":{"default":{"default":"negrita ómicron"}},"key":"1D6D0"},{"category":"Ll","mappings":{"default":{"default":"negrita pi"}},"key":"1D6D1"},{"category":"Ll","mappings":{"default":{"default":"negrita rho"}},"key":"1D6D2"},{"category":"Ll","mappings":{"default":{"default":"negrita final sigma"}},"key":"1D6D3"},{"category":"Ll","mappings":{"default":{"default":"negrita sigma"}},"key":"1D6D4"},{"category":"Ll","mappings":{"default":{"default":"negrita tau"}},"key":"1D6D5"},{"category":"Ll","mappings":{"default":{"default":"negrita ípsilon"}},"key":"1D6D6"},{"category":"Ll","mappings":{"default":{"default":"negrita phi"}},"key":"1D6D7"},{"category":"Ll","mappings":{"default":{"default":"negrita ji"}},"key":"1D6D8"},{"category":"Ll","mappings":{"default":{"default":"negrita psi"}},"key":"1D6D9"},{"category":"Ll","mappings":{"default":{"default":"negrita omega"}},"key":"1D6DA"}]
+"es/symbols/greek-rest.js": 
+[{"locale":"es"},{"category":"Lu","key":"0394","mappings":{"clearspeak":{"default":"triangle","TriangleSymbol_Delta":"cap Delta"}}}]
 ,
-"es/greek-mathfonts-italic.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Alfa"}},"key":"1D6E2"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Beta"}},"key":"1D6E3"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Gamma"}},"key":"1D6E4"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Delta"}},"key":"1D6E5"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Épsilon"}},"key":"1D6E6"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Zeta"}},"key":"1D6E7"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Eta"}},"key":"1D6E8"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Theta"}},"key":"1D6E9"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Iota"}},"key":"1D6EA"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Kappa"}},"key":"1D6EB"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Lambda"}},"key":"1D6EC"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Mi"}},"key":"1D6ED"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ni"}},"key":"1D6EE"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Xi"}},"key":"1D6EF"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ómicron"}},"key":"1D6F0"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Pi"}},"key":"1D6F1"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Rho"}},"key":"1D6F2"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Sigma"}},"key":"1D6F4"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Tau"}},"key":"1D6F5"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ípsilon"}},"key":"1D6F6"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Phi"}},"key":"1D6F7"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Ji"}},"key":"1D6F8"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Psi"}},"key":"1D6F9"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Omega"}},"key":"1D6FA"},{"category":"Ll","mappings":{"default":{"default":"cursiva alfa"}},"key":"1D6FC"},{"category":"Ll","mappings":{"default":{"default":"cursiva beta"}},"key":"1D6FD"},{"category":"Ll","mappings":{"default":{"default":"cursiva gamma"}},"key":"1D6FE"},{"category":"Ll","mappings":{"default":{"default":"cursiva delta"}},"key":"1D6FF"},{"category":"Ll","mappings":{"default":{"default":"cursiva épsilon"}},"key":"1D700"},{"category":"Ll","mappings":{"default":{"default":"cursiva zeta"}},"key":"1D701"},{"category":"Ll","mappings":{"default":{"default":"cursiva eta"}},"key":"1D702"},{"category":"Ll","mappings":{"default":{"default":"cursiva theta"}},"key":"1D703"},{"category":"Ll","mappings":{"default":{"default":"cursiva iota"}},"key":"1D704"},{"category":"Ll","mappings":{"default":{"default":"cursiva kappa"}},"key":"1D705"},{"category":"Ll","mappings":{"default":{"default":"cursiva lambda"}},"key":"1D706"},{"category":"Ll","mappings":{"default":{"default":"cursiva mi"}},"key":"1D707"},{"category":"Ll","mappings":{"default":{"default":"cursiva ni"}},"key":"1D708"},{"category":"Ll","mappings":{"default":{"default":"cursiva xi"}},"key":"1D709"},{"category":"Ll","mappings":{"default":{"default":"cursiva ómicron"}},"key":"1D70A"},{"category":"Ll","mappings":{"default":{"default":"cursiva pi"}},"key":"1D70B"},{"category":"Ll","mappings":{"default":{"default":"cursiva rho"}},"key":"1D70C"},{"category":"Ll","mappings":{"default":{"default":"cursiva final sigma"}},"key":"1D70D"},{"category":"Ll","mappings":{"default":{"default":"cursiva sigma"}},"key":"1D70E"},{"category":"Ll","mappings":{"default":{"default":"cursiva tau"}},"key":"1D70F"},{"category":"Ll","mappings":{"default":{"default":"cursiva ípsilon"}},"key":"1D710"},{"category":"Ll","mappings":{"default":{"default":"cursiva phi"}},"key":"1D711"},{"category":"Ll","mappings":{"default":{"default":"cursiva ji"}},"key":"1D712"},{"category":"Ll","mappings":{"default":{"default":"cursiva psi"}},"key":"1D713"},{"category":"Ll","mappings":{"default":{"default":"cursiva omega"}},"key":"1D714"}]
+"es/symbols/greek-scripts.js": 
+[{"locale":"es"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"pequeño mayúscula gamma"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"pequeña mayúscula lamda"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"pequeña mayúscula Pi"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"pequeña mayúscula Rho"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"pequeña mayúscula Psi"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"modificador de pequeño gamma"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"modificador de pequeño phi"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"subscripción pequeña beta"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"subíndice pequeña gamma"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"subíndice rho"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"subíndice phi"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"subscripción chi"}}}]
 ,
-"es/greek-mathfonts-sans-serif-bold.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Alfa"}},"key":"1D756"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Beta"}},"key":"1D757"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Gamma"}},"key":"1D758"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Delta"}},"key":"1D759"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Épsilon"}},"key":"1D75A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Zeta"}},"key":"1D75B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Eta"}},"key":"1D75C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Theta"}},"key":"1D75D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Iota"}},"key":"1D75E"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Kappa"}},"key":"1D75F"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Lambda"}},"key":"1D760"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Mi"}},"key":"1D761"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ni"}},"key":"1D762"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Xi"}},"key":"1D763"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ómicron"}},"key":"1D764"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Pi"}},"key":"1D765"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Rho"}},"key":"1D766"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Sigma"}},"key":"1D768"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Tau"}},"key":"1D769"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ípsilon"}},"key":"1D76A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Phi"}},"key":"1D76B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Ji"}},"key":"1D76C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Psi"}},"key":"1D76D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Omega"}},"key":"1D76E"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita alfa"}},"key":"1D770"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita beta"}},"key":"1D771"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita gamma"}},"key":"1D772"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita delta"}},"key":"1D773"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita épsilon"}},"key":"1D774"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita zeta"}},"key":"1D775"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita eta"}},"key":"1D776"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita theta"}},"key":"1D777"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita iota"}},"key":"1D778"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita kappa"}},"key":"1D779"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita lambda"}},"key":"1D77A"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita mi"}},"key":"1D77B"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ni"}},"key":"1D77C"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita xi"}},"key":"1D77D"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ómicron"}},"key":"1D77E"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita pi"}},"key":"1D77F"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita rho"}},"key":"1D780"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita final sigma"}},"key":"1D781"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita sigma"}},"key":"1D782"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita tau"}},"key":"1D783"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ípsilon"}},"key":"1D784"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita phi"}},"key":"1D785"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita ji"}},"key":"1D786"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita psi"}},"key":"1D787"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita omega"}},"key":"1D788"}]
+"es/symbols/greek-symbols.js": 
+[{"locale":"es"},{"key":"03D0","mappings":{"default":{"default":"símbolo beta"}},"category":"Ll"},{"key":"03D7","mappings":{"default":{"default":"símbolo kai griego"}},"category":"Ll"},{"key":"03F6","mappings":{"default":{"default":"épsilon invertido"}},"category":"Sm"},{"category":"Lu","key":"1D7CA","mappings":{"default":{"default":"Matemática Bold Capital Digamma"}}},{"category":"Ll","key":"1D7CB","mappings":{"default":{"default":"Matemática negrita pequeño digamma"}}}]
 ,
-"es/greek-scripts.js": 
-[{"locale":"es"}]
+"es/symbols/hebrew_letters.js": 
+[{"locale":"es"},{"key":"2135","mappings":{"default":{"default":"alef"}},"category":"Lo"},{"key":"2136","mappings":{"default":{"default":"bet"}},"category":"Lo"},{"key":"2137","mappings":{"default":{"default":"guímel"}},"category":"Lo"},{"key":"2138","mappings":{"default":{"default":"dálet"}},"category":"Lo"}]
 ,
-"es/greek-small.js": 
-[{"locale":"es"},{"key":"03B1","mappings":{"default":{"default":"alfa"}},"category":"Ll"},{"key":"03B2","mappings":{"default":{"default":"beta"}},"category":"Ll"},{"key":"03B3","mappings":{"default":{"default":"gamma"}},"category":"Ll"},{"key":"03B4","mappings":{"default":{"default":"delta"}},"category":"Ll"},{"key":"03B5","mappings":{"default":{"default":"épsilon"}},"category":"Ll"},{"key":"03B6","mappings":{"default":{"default":"zeta"}},"category":"Ll"},{"key":"03B7","mappings":{"default":{"default":"eta"}},"category":"Ll"},{"key":"03B8","mappings":{"default":{"default":"theta"}},"category":"Ll"},{"key":"03B9","mappings":{"default":{"default":"iota"}},"category":"Ll"},{"key":"03BA","mappings":{"default":{"default":"kappa"}},"category":"Ll"},{"key":"03BB","mappings":{"default":{"default":"lambda"}},"category":"Ll"},{"key":"03BC","mappings":{"default":{"default":"mi"}},"category":"Ll"},{"key":"03BD","mappings":{"default":{"default":"ni"}},"category":"Ll"},{"key":"03BE","mappings":{"default":{"default":"xi"}},"category":"Ll"},{"key":"03BF","mappings":{"default":{"default":"ómicron"}},"category":"Ll"},{"key":"03C0","mappings":{"default":{"default":"pi"}},"category":"Ll"},{"key":"03C1","mappings":{"default":{"default":"rho"}},"category":"Ll"},{"key":"03C2","mappings":{"default":{"default":"sigma final"}},"category":"Ll"},{"key":"03C3","mappings":{"default":{"default":"sigma"}},"category":"Ll"},{"key":"03C4","mappings":{"default":{"default":"tau"}},"category":"Ll"},{"key":"03C5","mappings":{"default":{"default":"ípsilon"}},"category":"Ll"},{"key":"03C6","mappings":{"default":{"default":"phi"}},"category":"Ll"},{"key":"03C7","mappings":{"default":{"default":"ji"}},"category":"Ll"},{"key":"03C8","mappings":{"default":{"default":"psi"}},"category":"Ll"},{"key":"03C9","mappings":{"default":{"default":"omega"}},"category":"Ll"}]
+"es/symbols/latin-lower-double-accent.js": 
+[{"locale":"es"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u con diéresis y macron"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u con diéresis y acento agudo"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u con diéresis y acento"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u con diéresis y grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a con diéresis y macron"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a con punto arriba y macron"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o con pecíolo y macron"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a con ring above y acento agudo"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o con diéresis y macron"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o con tilde y macron"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o con Dot Above y Macron"}}},{"key":"1E09","mappings":{"default":{"default":"c con cedilla y agudo"}},"category":"Ll"},{"key":"1E15","mappings":{"default":{"default":"e con macrón y grave"}},"category":"Ll"},{"key":"1E17","mappings":{"default":{"default":"e con macrón y agudo"}},"category":"Ll"},{"key":"1E1D","mappings":{"default":{"default":"e con cedilla y breve"}},"category":"Ll"},{"key":"1E2F","mappings":{"default":{"default":"i con diéresis y agudo"}},"category":"Ll"},{"key":"1E39","mappings":{"default":{"default":"l con punto debajo y macrón"}},"category":"Ll"},{"key":"1E4D","mappings":{"default":{"default":"o con tilde y acute"}},"category":"Ll"},{"key":"1E4F","mappings":{"default":{"default":"o con tilde y diéresis"}},"category":"Ll"},{"key":"1E51","mappings":{"default":{"default":"o con macrón y grave"}},"category":"Ll"},{"key":"1E53","mappings":{"default":{"default":"o con macrón y agudo"}},"category":"Ll"},{"key":"1E5D","mappings":{"default":{"default":"r con punto debajo y macrón"}},"category":"Ll"},{"key":"1E65","mappings":{"default":{"default":"s con agudo y punto arriba"}},"category":"Ll"},{"key":"1E67","mappings":{"default":{"default":"s con carón y punto arriba"}},"category":"Ll"},{"key":"1E69","mappings":{"default":{"default":"s con punto debajo y punto arriba"}},"category":"Ll"},{"key":"1E79","mappings":{"default":{"default":"u con tilde y agudo"}},"category":"Ll"},{"key":"1E7B","mappings":{"default":{"default":"u con macrón y diéresis"}},"category":"Ll"},{"key":"1EA5","mappings":{"default":{"default":"a con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EA7","mappings":{"default":{"default":"a con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EA9","mappings":{"default":{"default":"a con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EAB","mappings":{"default":{"default":"a con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EAD","mappings":{"default":{"default":"a con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EAF","mappings":{"default":{"default":"a con breve y agudo"}},"category":"Ll"},{"key":"1EB1","mappings":{"default":{"default":"a con breve y grave"}},"category":"Ll"},{"key":"1EB3","mappings":{"default":{"default":"a con breve y gancho arriba"}},"category":"Ll"},{"key":"1EB5","mappings":{"default":{"default":"a con breve y tilde"}},"category":"Ll"},{"key":"1EB7","mappings":{"default":{"default":"a con breve y punto debajo"}},"category":"Ll"},{"key":"1EBF","mappings":{"default":{"default":"e con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EC1","mappings":{"default":{"default":"e con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EC3","mappings":{"default":{"default":"e con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EC5","mappings":{"default":{"default":"e con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EC7","mappings":{"default":{"default":"e con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1ED1","mappings":{"default":{"default":"o con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1ED3","mappings":{"default":{"default":"o con acento circunflejo y grave"}},"category":"Ll"},{"key":"1ED5","mappings":{"default":{"default":"o con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1ED7","mappings":{"default":{"default":"o con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1ED9","mappings":{"default":{"default":"o con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EDB","mappings":{"default":{"default":"o with horn and acute"}},"category":"Ll"},{"key":"1EDD","mappings":{"default":{"default":"o with horn and grave"}},"category":"Ll"},{"key":"1EDF","mappings":{"default":{"default":"o with horn and hook above"}},"category":"Ll"},{"key":"1EE1","mappings":{"default":{"default":"o with horn and tilde"}},"category":"Ll"},{"key":"1EE3","mappings":{"default":{"default":"o con cuerno y punto debajo"}},"category":"Ll"},{"key":"1EE9","mappings":{"default":{"default":"u con cuerno y agudo"}},"category":"Ll"},{"key":"1EEB","mappings":{"default":{"default":"u con cuerno y grave"}},"category":"Ll"},{"key":"1EED","mappings":{"default":{"default":"u con cuerno y gancho arriba"}},"category":"Ll"},{"key":"1EEF","mappings":{"default":{"default":"u con cuerno y tilde"}},"category":"Ll"},{"key":"1EF1","mappings":{"default":{"default":"u con cuerno y punto debajo"}},"category":"Ll"}]
 ,
-"es/greek-symbols.js": 
-[{"locale":"es"},{"key":"03D0","mappings":{"default":{"default":"símbolo beta"}},"category":"Ll"},{"key":"03D1","mappings":{"default":{"default":"variante de theta"}},"category":"Ll"},{"key":"03D5","mappings":{"default":{"default":"phi recta"}},"category":"Ll"},{"key":"03D6","mappings":{"default":{"default":"pi","defaultMP":"variante de pi"}},"category":"Ll"},{"key":"03D7","mappings":{"default":{"default":"símbolo kai griego"}},"category":"Ll"},{"key":"03F0","mappings":{"default":{"default":"kappa","defaultMP":"variante de kappa"}},"category":"Ll"},{"key":"03F1","mappings":{"default":{"default":"rho","defaultMP":"variante de rho"}},"category":"Ll"},{"key":"03F5","mappings":{"default":{"default":"épsilon","defaultMP":"variante de épsilon"}},"category":"Ll"},{"key":"03F6","mappings":{"default":{"default":"épsilon invertido"}},"category":"Sm"},{"key":"03F4","mappings":{"default":{"default":"mayúscula variante de Theta"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula variante de Theta"}},"key":"1D6B9"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula variante de Theta"}},"key":"1D6F3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula variante de Theta"}},"key":"1D767"}]
+"es/symbols/latin-lower-phonetic.js": 
+[{"locale":"es"},{"key":"00F8","mappings":{"default":{"default":"o barrada"}},"category":"Ll"},{"key":"0111","mappings":{"default":{"default":"d con barra"}},"category":"Ll"},{"key":"0127","mappings":{"default":{"default":"h con guión"}},"category":"Ll"},{"key":"0142","mappings":{"default":{"default":"l con guión"}},"category":"Ll"},{"key":"0167","mappings":{"default":{"default":"t con guión"}},"category":"Ll"},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b con línea"}}},{"key":"019B","mappings":{"default":{"default":"lambda tachada"}},"category":"Ll"},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z con línea"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"parada glotal invertida con línea"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g con línea"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o con línea y acento agudo"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c con trazo"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"pequeña e con trazo"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j con trazo"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"con trazo"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y con trazo"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"pequeña sin puntos j con trazo"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i con trazo"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"pequeña sin puntos j con trazo y gancho"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"parada glotal con trazo"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"parada invertida glotal con trazo"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"de lado O con trazo"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota con trazo"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p con trazo"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon con trazo"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"larga s con trazo diagonal"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"pequeña s larga con trazo alto"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"delta convertido"}}},{"key":"1E9B","mappings":{"default":{"default":"s larga con punto arriba"}},"category":"Ll"},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta pequeña latina"}}},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"category":"Ll","key":"017F","mappings":{"default":{"default":"s larga"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b con barra encima"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"tono seis"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c con gancho"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d con barra encima"}}},{"key":"0192","mappings":{"default":{"default":"f con gancho"}},"category":"Ll"},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k con gancho"}}},{"key":"019A","mappings":{"default":{"default":"l con barra"}},"category":"Ll"},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n con pierna derecha larga"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o con cuerno"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"oi"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p con gancho"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"dos tonos"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"latin letter invertido Esh bucle"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t con palatal gancho"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t con gancho"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u con horn"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y con gancho"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"ezh invertido"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ezh con cola"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"tono cinco"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz con acento"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae con macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ezh con acento"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"latín letra pequeña yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lezh letra pequeña latina"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ezh"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"pequeña Ezh con Curl"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"latín letra pequeña Dezh Digraph"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"e convertido"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae con acento agudo"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d con rizo"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z con gancho"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l con rizo"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n con rizo"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t con rizo"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"letra pequeña latina db digraph"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"latín letra pequeña Qp Digraph"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s con cola cruzada"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z con cola swash"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"latín letra pequeña parada glotal"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q con cola de gancho"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"convertida en una"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alfa minúscula latina"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"convertida en alfa"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b con gancho"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"abierta o"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c con rizo"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d con cola"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d con gancho"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"invertida E"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"pequeña Schwa con gancho"}}},{"key":"025B","mappings":{"default":{"default":"e abierta"}},"category":"Ll"},{"category":"Ll","key":"025C","mappings":{"default":{"default":"invertida abierta E"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"letra pequeña latina invertida E abierta con gancho"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"cerrada invertida abierta E"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g con gancho"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"escritura latina de letras pequeñas G"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"latín letra pequeña gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"cuerno de carnero de letra pequeña latina"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"girada h"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h con gancho"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"pequeña letra latina Heng con gancho"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"latín letra minúscula Iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l con tilde medio"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l con cinturón"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"letra L latina pequeña con gancho Retroflex"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"girada m"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"vuelta M con pierna larga"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m con gancho"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n con gancho izquierdo"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n con gancho retroflex"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"letra minúscula omega"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"latin Small Letter Closed Omega"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"Letra pequeña latina"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"vuelta r"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"vuelta R con pierna larga"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"vuelta R con gancho"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"R con pierna larga"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"R con cola"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"R con anzuelo"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"invertida R con anzuelo"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"S con gancho"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"Pequeña letra latina esh"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"Latín letra pequeña en cuclillas invertida Esh"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"Esh minúscula latina con rizo"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"vuelta t"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"T con gancho retroflex"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"Letra de letra pequeña latina U"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"Upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"V con gancho"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"convertida V"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"girada w"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"vuelta y"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"Z con gancho retroflex"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z con rizo"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"faríngea con voz fricativa"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"invertida parada glotal"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"estirada c"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"Carta Bilabial Click"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"cerrada abierta e"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"vuelta k"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q con gancho"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"pequeña letra Dz Digraph"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"Letra pequeña latina Dz Digraph con Curl"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"Latín letra pequeña Ts Digraph"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"Letra pequeña latina Tesh Digraph"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"Latín letra pequeña Tc Digraph con Curl"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"Letra pequeña latina Feng Digraph"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"pequeña letra Ls Digraph"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"pequeña letra Lz Digraph"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"percusion bilabial"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"de percusión bidental"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"convertida en H con anzuelo"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"convertida en H con anzuelo y cola"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"vuelta ae"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"convertida abierta E"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"convertida i"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"de lado O"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"de lado abierto O"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"vuelta oe"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"mitad superior O"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"Letra latina, letra inferior, mitad inferior O"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"hacia los lados U"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"de lado diaeresizada U"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"girada hacia los lados M"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"Carta latina expresada espirante laríngeo"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"ain"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"B con tilde medio"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"D con tilde medio"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"F con tilde medio"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"M con tilde medio"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"N con tilde medio"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"P con tilde medio"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"R con tilde medio"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"R con anzuelo y tilde medio"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"S con tilde medio"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"T con tilde medio"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z con tilde media"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"girada g"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"insular g"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th con tachado"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"B con gancho palatal"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"D con gancho palatal"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"F con gancho palatino"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"G con gancho palatal"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"K con gancho palatino"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"L con gancho palatino"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"M con gancho palatino"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"N con gancho palatal"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"P con gancho palatino"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"R con gancho palatal"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"S con gancho palatal"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"Pequeña letra latina Esh con gancho palatal"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"V con gancho palatal"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"X con gancho palatal"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"Z con gancho palatal"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a con gancho retroflex"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"Alfa latina pequeña letra con gancho retroflex"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"D con gancho y cola"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"pequeña E con gancho retroflex"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"E Pequeña Open con Gancho Retroflex"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"E abierta invertido con gancho retroflex"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"pequeña Schwa con gancho retroflex"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"I con gancho retroflex"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"pequeña latina Open O con gancho retroflex"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"Esh de letra pequeña latina con gancho retroflex"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"U con gancho retroflex"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"pequeña Ezh con gancho retroflex"}}},{"key":"0149","mappings":{"default":{"default":"n precedida por apóstrofe"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
 ,
-"es/hebrew_letters.js": 
-[{"locale":"es"},{"key":"2135","mappings":{"default":{"default":"alef"}},"category":"Lo"},{"key":"2136","mappings":{"default":{"default":"bet"}},"category":"Lo"},{"key":"2137","mappings":{"default":{"default":"guímel"}},"category":"Lo"},{"key":"2138","mappings":{"default":{"default":"dálet"}},"category":"Lo"}]
+"es/symbols/latin-lower-single-accent.js": 
+[{"locale":"es"},{"key":"00E0","mappings":{"default":{"default":"a grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a aguda"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a acento circunflejo"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a con tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a diéresis"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a con anillo"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c cedilla"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e aguda"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e acento circunflejo"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e diéresis"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i aguda"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i acento circunflejo"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i diéresis"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"eñe"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o aguda"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o acento circunflejo"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o con tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o diéresis"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u aguda"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u acento circunflejo"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u diéresis"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"Y aguda","defaultMP":"ye aguda"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y diéresis","defaultMP":"ye diéresis"}},"category":"Ll"},{"key":"0101","mappings":{"default":{"default":"a barra"}},"category":"Ll"},{"key":"0103","mappings":{"default":{"default":"a con breve"}},"category":"Ll"},{"key":"0105","mappings":{"default":{"default":"a con ogonek"}},"category":"Ll"},{"key":"0107","mappings":{"default":{"default":"c con agudo"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c con acento circunflejo"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c con punto arriba"}},"category":"Ll"},{"key":"010D","mappings":{"default":{"default":"c con carón"}},"category":"Ll"},{"key":"010F","mappings":{"default":{"default":"d con carón"}},"category":"Ll"},{"key":"0113","mappings":{"default":{"default":"e barra"}},"category":"Ll"},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e con breve"}}},{"key":"0117","mappings":{"default":{"default":"e con punto arriba"}},"category":"Ll"},{"key":"0119","mappings":{"default":{"default":"e con ogonek"}},"category":"Ll"},{"key":"011B","mappings":{"default":{"default":"e con carón"}},"category":"Ll"},{"key":"011D","mappings":{"default":{"default":"g con acento circunflejo"}},"category":"Ll"},{"key":"011F","mappings":{"default":{"default":"g con breve"}},"category":"Ll"},{"key":"0121","mappings":{"default":{"default":"g con punto arriba"}},"category":"Ll"},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g con cedilla"}}},{"key":"0125","mappings":{"default":{"default":"h con acento circunflejo"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i con tilde"}},"category":"Ll"},{"key":"012B","mappings":{"default":{"default":"i barra"}},"category":"Ll"},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i con breve"}}},{"key":"012F","mappings":{"default":{"default":"i con ogonek"}},"category":"Ll"},{"key":"0131","mappings":{"default":{"default":"i sin punto"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j con acento circunflejo"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k con cedilla"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l con agudo"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l con cedilla"}},"category":"Ll"},{"key":"013E","mappings":{"default":{"default":"l con carón"}},"category":"Ll"},{"key":"0140","mappings":{"default":{"default":"l con punto mediano"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n con agudo"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n con cedilla"}},"category":"Ll"},{"key":"0148","mappings":{"default":{"default":"n con carón"}},"category":"Ll"},{"key":"014D","mappings":{"default":{"default":"o barra"}},"category":"Ll"},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o con breve"}}},{"key":"0151","mappings":{"default":{"default":"o con doble acento agudo"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r con agudo"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r con cedilla"}},"category":"Ll"},{"key":"0159","mappings":{"default":{"default":"r con carón"}},"category":"Ll"},{"key":"015B","mappings":{"default":{"default":"s con agudo"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s con acento circunflejo"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s con cedilla"}},"category":"Ll"},{"key":"0161","mappings":{"default":{"default":"s con carón"}},"category":"Ll"},{"key":"0163","mappings":{"default":{"default":"t con cedilla"}},"category":"Ll"},{"key":"0165","mappings":{"default":{"default":"t con carón"}},"category":"Ll"},{"key":"0169","mappings":{"default":{"default":"u con tilde"}},"category":"Ll"},{"key":"016B","mappings":{"default":{"default":"u barra"}},"category":"Ll"},{"key":"016D","mappings":{"default":{"default":"u con breve"}},"category":"Ll"},{"key":"016F","mappings":{"default":{"default":"u con anillo arriba"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u con doble acento agudo"}},"category":"Ll"},{"key":"0173","mappings":{"default":{"default":"u con ogonek"}},"category":"Ll"},{"key":"0175","mappings":{"default":{"default":"w con circunflejo"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y con circunflejo"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z con agudo"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z con punto"}},"category":"Ll"},{"key":"017E","mappings":{"default":{"default":"z con carón"}},"category":"Ll"},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a con acento"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i con acento"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o con acento"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u con acento"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g con acento"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k con acento"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o con pecíolo"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j con acento"}}},{"key":"01F5","mappings":{"default":{"default":"g con agudo"}},"category":"Ll"},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n con grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a con doble tumba"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a con letras invertidas"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e con doble tumba"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e con letras invertidas"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i con doble tumba"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i con Breve invertida"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o con doble tumba"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o con letras invertidas"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r con doble sepulcro"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r con letras invertidas"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u con doble tumba"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u con letras invertidas"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s con coma debajo"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t con coma debajo"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h con caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"con un punto arriba"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e con cedilla"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o con punto arriba"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y con Macron"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"s in punto j"}}},{"key":"1E01","mappings":{"default":{"default":"a con anillo debajo"}},"category":"Ll"},{"key":"1E03","mappings":{"default":{"default":"b con punto arriba"}},"category":"Ll"},{"key":"1E05","mappings":{"default":{"default":"b con punto debajo"}},"category":"Ll"},{"key":"1E07","mappings":{"default":{"default":"b con línea debajo"}},"category":"Ll"},{"key":"1E0B","mappings":{"default":{"default":"d con punto arriba"}},"category":"Ll"},{"key":"1E0D","mappings":{"default":{"default":"d con punto debajo"}},"category":"Ll"},{"key":"1E0F","mappings":{"default":{"default":"d con línea debajo"}},"category":"Ll"},{"key":"1E11","mappings":{"default":{"default":"d con cedilla"}},"category":"Ll"},{"key":"1E13","mappings":{"default":{"default":"d con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E19","mappings":{"default":{"default":"e con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E1B","mappings":{"default":{"default":"e con tilde debajo"}},"category":"Ll"},{"key":"1E1F","mappings":{"default":{"default":"f con punto arriba"}},"category":"Ll"},{"key":"1E21","mappings":{"default":{"default":"g con macrón"}},"category":"Ll"},{"key":"1E23","mappings":{"default":{"default":"h con punto arriba"}},"category":"Ll"},{"key":"1E25","mappings":{"default":{"default":"h con punto debajo"}},"category":"Ll"},{"key":"1E27","mappings":{"default":{"default":"h con diéresis"}},"category":"Ll"},{"key":"1E29","mappings":{"default":{"default":"h con cedilla"}},"category":"Ll"},{"key":"1E2B","mappings":{"default":{"default":"h con breve debajo"}},"category":"Ll"},{"key":"1E2D","mappings":{"default":{"default":"i con tilde debajo"}},"category":"Ll"},{"key":"1E31","mappings":{"default":{"default":"k con agudo"}},"category":"Ll"},{"key":"1E33","mappings":{"default":{"default":"k con punto debajo"}},"category":"Ll"},{"key":"1E35","mappings":{"default":{"default":"k con línea debajo"}},"category":"Ll"},{"key":"1E37","mappings":{"default":{"default":"l con punto debajo"}},"category":"Ll"},{"key":"1E3B","mappings":{"default":{"default":"l con línea debajo"}},"category":"Ll"},{"key":"1E3D","mappings":{"default":{"default":"l con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E3F","mappings":{"default":{"default":"m con agudo"}},"category":"Ll"},{"key":"1E41","mappings":{"default":{"default":"m con punto arriba"}},"category":"Ll"},{"key":"1E43","mappings":{"default":{"default":"m con punto debajo"}},"category":"Ll"},{"key":"1E45","mappings":{"default":{"default":"n con punto arriba"}},"category":"Ll"},{"key":"1E47","mappings":{"default":{"default":"n con punto debajo"}},"category":"Ll"},{"key":"1E49","mappings":{"default":{"default":"n con línea debajo"}},"category":"Ll"},{"key":"1E4B","mappings":{"default":{"default":"n con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E55","mappings":{"default":{"default":"p con agudo"}},"category":"Ll"},{"key":"1E57","mappings":{"default":{"default":"p con punto arriba"}},"category":"Ll"},{"key":"1E59","mappings":{"default":{"default":"r con punto arriba"}},"category":"Ll"},{"key":"1E5B","mappings":{"default":{"default":"r con punto debajo"}},"category":"Ll"},{"key":"1E5F","mappings":{"default":{"default":"r con línea debajo"}},"category":"Ll"},{"key":"1E61","mappings":{"default":{"default":"s con punto arriba"}},"category":"Ll"},{"key":"1E63","mappings":{"default":{"default":"s con punto debajo"}},"category":"Ll"},{"key":"1E6B","mappings":{"default":{"default":"t con punto arriba"}},"category":"Ll"},{"key":"1E6D","mappings":{"default":{"default":"t con punto debajo"}},"category":"Ll"},{"key":"1E6F","mappings":{"default":{"default":"t con línea debajo"}},"category":"Ll"},{"key":"1E71","mappings":{"default":{"default":"t con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E73","mappings":{"default":{"default":"u con diéresis debajo"}},"category":"Ll"},{"key":"1E75","mappings":{"default":{"default":"u con tilde debajo"}},"category":"Ll"},{"key":"1E77","mappings":{"default":{"default":"u con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E7D","mappings":{"default":{"default":"v con tilde"}},"category":"Ll"},{"key":"1E7F","mappings":{"default":{"default":"v con punto debajo"}},"category":"Ll"},{"key":"1E81","mappings":{"default":{"default":"w con grave"}},"category":"Ll"},{"key":"1E83","mappings":{"default":{"default":"w con agudo"}},"category":"Ll"},{"key":"1E85","mappings":{"default":{"default":"w con diéresis"}},"category":"Ll"},{"key":"1E87","mappings":{"default":{"default":"w con punto arriba"}},"category":"Ll"},{"key":"1E89","mappings":{"default":{"default":"w con punto debajo"}},"category":"Ll"},{"key":"1E8B","mappings":{"default":{"default":"x con punto arriba"}},"category":"Ll"},{"key":"1E8D","mappings":{"default":{"default":"x con diéresis"}},"category":"Ll"},{"key":"1E8F","mappings":{"default":{"default":"y con punto arriba"}},"category":"Ll"},{"key":"1E91","mappings":{"default":{"default":"z con acento circunflejo"}},"category":"Ll"},{"key":"1E93","mappings":{"default":{"default":"z con punto debajo"}},"category":"Ll"},{"key":"1E95","mappings":{"default":{"default":"z con línea debajo"}},"category":"Ll"},{"key":"1E96","mappings":{"default":{"default":"h con línea debajo"}},"category":"Ll"},{"key":"1E97","mappings":{"default":{"default":"t con diéresis"}},"category":"Ll"},{"key":"1E98","mappings":{"default":{"default":"w con anillo arriba"}},"category":"Ll"},{"key":"1E99","mappings":{"default":{"default":"y con anillo arriba"}},"category":"Ll"},{"key":"1E9A","mappings":{"default":{"default":"a con medio derecho de anillo"}},"category":"Ll"},{"key":"1EA1","mappings":{"default":{"default":"a con punto debajo"}},"category":"Ll"},{"key":"1EA3","mappings":{"default":{"default":"a con gancho arriba"}},"category":"Ll"},{"key":"1EB9","mappings":{"default":{"default":"e con punto debajo"}},"category":"Ll"},{"key":"1EBB","mappings":{"default":{"default":"e con gancho arriba"}},"category":"Ll"},{"key":"1EBD","mappings":{"default":{"default":"e con tilde"}},"category":"Ll"},{"key":"1EC9","mappings":{"default":{"default":"i con gancho arriba"}},"category":"Ll"},{"key":"1ECB","mappings":{"default":{"default":"i con punto debajo"}},"category":"Ll"},{"key":"1ECD","mappings":{"default":{"default":"o con punto debajo"}},"category":"Ll"},{"key":"1ECF","mappings":{"default":{"default":"o con gancho arriba"}},"category":"Ll"},{"key":"1EE5","mappings":{"default":{"default":"u con punto debajo"}},"category":"Ll"},{"key":"1EE7","mappings":{"default":{"default":"u con gancho arriba"}},"category":"Ll"},{"key":"1EF3","mappings":{"default":{"default":"y con grave"}},"category":"Ll"},{"key":"1EF5","mappings":{"default":{"default":"y con punto debajo"}},"category":"Ll"},{"key":"1EF7","mappings":{"default":{"default":"y con gancho arriba"}},"category":"Ll"},{"key":"1EF9","mappings":{"default":{"default":"y con tilde"}},"category":"Ll"}]
 ,
-"es/latin-lower-double-accent.js": 
-[{"locale":"es"},{"key":"1E09","mappings":{"default":{"default":"c con cedilla y agudo"}},"category":"Ll"},{"key":"1E15","mappings":{"default":{"default":"e con macrón y grave"}},"category":"Ll"},{"key":"1E17","mappings":{"default":{"default":"e con macrón y agudo"}},"category":"Ll"},{"key":"1E1D","mappings":{"default":{"default":"e con cedilla y breve"}},"category":"Ll"},{"key":"1E2F","mappings":{"default":{"default":"i con diéresis y agudo"}},"category":"Ll"},{"key":"1E39","mappings":{"default":{"default":"l con punto debajo y macrón"}},"category":"Ll"},{"key":"1E4D","mappings":{"default":{"default":"o con tilde y acute"}},"category":"Ll"},{"key":"1E4F","mappings":{"default":{"default":"o con tilde y diéresis"}},"category":"Ll"},{"key":"1E51","mappings":{"default":{"default":"o con macrón y grave"}},"category":"Ll"},{"key":"1E53","mappings":{"default":{"default":"o con macrón y agudo"}},"category":"Ll"},{"key":"1E5D","mappings":{"default":{"default":"r con punto debajo y macrón"}},"category":"Ll"},{"key":"1E65","mappings":{"default":{"default":"s con agudo y punto arriba"}},"category":"Ll"},{"key":"1E67","mappings":{"default":{"default":"s con carón y punto arriba"}},"category":"Ll"},{"key":"1E69","mappings":{"default":{"default":"s con punto debajo y punto arriba"}},"category":"Ll"},{"key":"1E79","mappings":{"default":{"default":"u con tilde y agudo"}},"category":"Ll"},{"key":"1E7B","mappings":{"default":{"default":"u con macrón y diéresis"}},"category":"Ll"},{"key":"1EA5","mappings":{"default":{"default":"a con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EA7","mappings":{"default":{"default":"a con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EA9","mappings":{"default":{"default":"a con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EAB","mappings":{"default":{"default":"a con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EAD","mappings":{"default":{"default":"a con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EAF","mappings":{"default":{"default":"a con breve y agudo"}},"category":"Ll"},{"key":"1EB1","mappings":{"default":{"default":"a con breve y grave"}},"category":"Ll"},{"key":"1EB3","mappings":{"default":{"default":"a con breve y gancho arriba"}},"category":"Ll"},{"key":"1EB5","mappings":{"default":{"default":"a con breve y tilde"}},"category":"Ll"},{"key":"1EB7","mappings":{"default":{"default":"a con breve y punto debajo"}},"category":"Ll"},{"key":"1EBF","mappings":{"default":{"default":"e con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1EC1","mappings":{"default":{"default":"e con acento circunflejo y grave"}},"category":"Ll"},{"key":"1EC3","mappings":{"default":{"default":"e con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1EC5","mappings":{"default":{"default":"e con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1EC7","mappings":{"default":{"default":"e con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1ED1","mappings":{"default":{"default":"o con acento circunflejo y agudo"}},"category":"Ll"},{"key":"1ED3","mappings":{"default":{"default":"o con acento circunflejo y grave"}},"category":"Ll"},{"key":"1ED5","mappings":{"default":{"default":"o con acento circunflejo y gancho arriba"}},"category":"Ll"},{"key":"1ED7","mappings":{"default":{"default":"o con acento circunflejo y tilde"}},"category":"Ll"},{"key":"1ED9","mappings":{"default":{"default":"o con acento circunflejo y punto debajo"}},"category":"Ll"},{"key":"1EDB","mappings":{"default":{"default":"o with horn and acute"}},"category":"Ll"},{"key":"1EDD","mappings":{"default":{"default":"o with horn and grave"}},"category":"Ll"},{"key":"1EDF","mappings":{"default":{"default":"o with horn and hook above"}},"category":"Ll"},{"key":"1EE1","mappings":{"default":{"default":"o with horn and tilde"}},"category":"Ll"},{"key":"1EE3","mappings":{"default":{"default":"o con cuerno y punto debajo"}},"category":"Ll"},{"key":"1EE9","mappings":{"default":{"default":"u con cuerno y agudo"}},"category":"Ll"},{"key":"1EEB","mappings":{"default":{"default":"u con cuerno y grave"}},"category":"Ll"},{"key":"1EED","mappings":{"default":{"default":"u con cuerno y gancho arriba"}},"category":"Ll"},{"key":"1EEF","mappings":{"default":{"default":"u con cuerno y tilde"}},"category":"Ll"},{"key":"1EF1","mappings":{"default":{"default":"u con cuerno y punto debajo"}},"category":"Ll"}]
+"es/symbols/latin-rest.js": 
+[{"locale":"es"},{"category":"Ll","key":"210E","mappings":{"default":{"default":"constante de planck"}}},{"category":"Mn","key":"0363","mappings":{"default":{"default":"combinando a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"combinando e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"combinando i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"combinando o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"combinando u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"combinando c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"combinando d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"combinando h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"combinando m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"combinando r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"combinando t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"combinando v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"combinando x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"subíndice i"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"subíndice r"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"subíndice u"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"subíndice latino letra pequeña V"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"combinando r abajo"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"combinando letra minúscula en latín, aplanado, abierto arriba"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"combinando ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"combinando ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"combinando av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"combinando Letra Pequeña Latina C Cedilla"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"combinando insular d"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"combinando la eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"combinando g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"combinando pequeña mayúscula G"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"combinando k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"combinando l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"combinando pequeña mayúscula L"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"combinando pequeña mayúscula M"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"combinando n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"combinando pequeña mayúscula N"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"combinando pequeña mayúscula R"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"combinando pequeña r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"combinando s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"combinando larga s"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"combinando z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"superíndice i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"superíndice n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"subíndice a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"subíndice e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"subíndice o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"subíndice x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"subíndice schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"subíndice h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"subíndice k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"subíndice l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"subíndice m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"subíndice n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"subíndice p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"subíndice s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"subíndice t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"subíndice j"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"concha de tortuga con corchetes mayúscula S"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"círculo itálico mayúscula C"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"círculo itálico mayúscula R"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"cruzada negativa cuadrada Mayúscula P"}}}]
 ,
-"es/latin-lower-normal.js": 
-[{"locale":"es"},{"key":"0061","mappings":{"default":{"default":"a"}},"category":"Ll"},{"key":"0062","mappings":{"default":{"default":"b"}},"category":"Ll"},{"key":"0063","mappings":{"default":{"default":"c"}},"category":"Ll"},{"key":"0064","mappings":{"default":{"default":"d"}},"category":"Ll"},{"key":"0065","mappings":{"default":{"default":"e"}},"category":"Ll"},{"key":"0066","mappings":{"default":{"default":"f"}},"category":"Ll"},{"key":"0067","mappings":{"default":{"default":"g"}},"category":"Ll"},{"key":"0068","mappings":{"default":{"default":"h"}},"category":"Ll"},{"key":"0069","mappings":{"default":{"default":"i"}},"category":"Ll"},{"key":"006A","mappings":{"default":{"default":"j"}},"category":"Ll"},{"key":"006B","mappings":{"default":{"default":"k"}},"category":"Ll"},{"key":"006C","mappings":{"default":{"default":"l"}},"category":"Ll"},{"key":"006D","mappings":{"default":{"default":"m"}},"category":"Ll"},{"key":"006E","mappings":{"default":{"default":"n"}},"category":"Ll"},{"key":"006F","mappings":{"default":{"default":"o"}},"category":"Ll"},{"key":"0070","mappings":{"default":{"default":"p"}},"category":"Ll"},{"key":"0071","mappings":{"default":{"default":"q"}},"category":"Ll"},{"key":"0072","mappings":{"default":{"default":"r"}},"category":"Ll"},{"key":"0073","mappings":{"default":{"default":"s"}},"category":"Ll"},{"key":"0074","mappings":{"default":{"default":"t"}},"category":"Ll"},{"key":"0075","mappings":{"default":{"default":"u"}},"category":"Ll"},{"key":"0076","mappings":{"default":{"default":"v"}},"category":"Ll"},{"key":"0077","mappings":{"default":{"default":"w"}},"category":"Ll"},{"key":"0078","mappings":{"default":{"default":"x"}},"category":"Ll"},{"key":"0079","mappings":{"default":{"default":"y","defaultMP":"ye"}},"category":"Ll"},{"key":"007A","mappings":{"default":{"default":"z"}},"category":"Ll"}]
+"es/symbols/latin-upper-double-accent.js": 
+[{"locale":"es"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"mayúscula U con diéresis y macron"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"mayúscula U con diéresis y acento agudo"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"mayúscula U con diéresis y acento"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"mayúscula U con diéresis y grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"mayúscula A con diéresis y macron"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"mayúscula A con punto arriba y macron"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"mayúscula O con pecíolo y macron"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"mayúscula A con ring above y acento agudo"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"mayúscula O con diaéresis y macron"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"mayúscula O con tilde y macron"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"mayúscula O con dot above y macron"}}},{"key":"1E08","mappings":{"default":{"default":"mayúscula C con cedilla y agudo"}},"category":"Lu"},{"key":"1E14","mappings":{"default":{"default":"mayúscula E con macrón y grave"}},"category":"Lu"},{"key":"1E16","mappings":{"default":{"default":"mayúscula E con macrón y agudo"}},"category":"Lu"},{"key":"1E1C","mappings":{"default":{"default":"mayúscula E with cedilla and breve"}},"category":"Lu"},{"key":"1E2E","mappings":{"default":{"default":"mayúscula I con diéresis y agudo"}},"category":"Lu"},{"key":"1E38","mappings":{"default":{"default":"mayúscula L con punto debajo y macrón"}},"category":"Lu"},{"key":"1E4C","mappings":{"default":{"default":"mayúscula O con tilde y acute"}},"category":"Lu"},{"key":"1E4E","mappings":{"default":{"default":"mayúscula O con tilde y diéresis"}},"category":"Lu"},{"key":"1E50","mappings":{"default":{"default":"mayúscula O con macrón y grave"}},"category":"Lu"},{"key":"1E52","mappings":{"default":{"default":"mayúscula O con macrón y agudo"}},"category":"Lu"},{"key":"1E5C","mappings":{"default":{"default":"mayúscula R con punto debajo y macrón"}},"category":"Lu"},{"key":"1E64","mappings":{"default":{"default":"mayúscula S con agudo y punto arriba"}},"category":"Lu"},{"key":"1E66","mappings":{"default":{"default":"mayúscula S con carón y punto arriba"}},"category":"Lu"},{"key":"1E68","mappings":{"default":{"default":"mayúscula S con punto debajo y punto arriba"}},"category":"Lu"},{"key":"1E78","mappings":{"default":{"default":"mayúscula U con tilde y agudo"}},"category":"Lu"},{"key":"1E7A","mappings":{"default":{"default":"mayúscula U con macrón y diéresis"}},"category":"Lu"},{"key":"1EA4","mappings":{"default":{"default":"mayúscula A con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EA6","mappings":{"default":{"default":"mayúscula A con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EA8","mappings":{"default":{"default":"mayúscula A con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EAA","mappings":{"default":{"default":"mayúscula A con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EAC","mappings":{"default":{"default":"mayúscula A con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EAE","mappings":{"default":{"default":"mayúscula A con breve y agudo"}},"category":"Lu"},{"key":"1EB0","mappings":{"default":{"default":"mayúscula A con breve y grave"}},"category":"Lu"},{"key":"1EB2","mappings":{"default":{"default":"mayúscula A con breve y gancho arriba"}},"category":"Lu"},{"key":"1EB4","mappings":{"default":{"default":"mayúscula A con breve y tilde"}},"category":"Lu"},{"key":"1EB6","mappings":{"default":{"default":"mayúscula A con breve y punto debajo"}},"category":"Lu"},{"key":"1EBE","mappings":{"default":{"default":"mayúscula E con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EC0","mappings":{"default":{"default":"mayúscula E con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EC2","mappings":{"default":{"default":"mayúscula E con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EC4","mappings":{"default":{"default":"mayúscula E con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EC6","mappings":{"default":{"default":"mayúscula E con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1ED0","mappings":{"default":{"default":"mayúscula O con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1ED2","mappings":{"default":{"default":"mayúscula O con acento circunflejo y grave"}},"category":"Lu"},{"key":"1ED4","mappings":{"default":{"default":"mayúscula O con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1ED6","mappings":{"default":{"default":"mayúscula O con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1ED8","mappings":{"default":{"default":"mayúscula O con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EDA","mappings":{"default":{"default":"mayúscula O with horn and acute"}},"category":"Lu"},{"key":"1EDC","mappings":{"default":{"default":"mayúscula O with horn and grave"}},"category":"Lu"},{"key":"1EDE","mappings":{"default":{"default":"mayúscula O with horn and hook above"}},"category":"Lu"},{"key":"1EE0","mappings":{"default":{"default":"mayúscula O with horn and tilde"}},"category":"Lu"},{"key":"1EE2","mappings":{"default":{"default":"mayúscula O con cuerno y punto debajo"}},"category":"Lu"},{"key":"1EE8","mappings":{"default":{"default":"mayúscula U con cuerno y agudo"}},"category":"Lu"},{"key":"1EEA","mappings":{"default":{"default":"mayúscula U con cuerno y grave"}},"category":"Lu"},{"key":"1EEC","mappings":{"default":{"default":"mayúscula U con cuerno y gancho arriba"}},"category":"Lu"},{"key":"1EEE","mappings":{"default":{"default":"mayúscula U con cuerno y tilde"}},"category":"Lu"},{"key":"1EF0","mappings":{"default":{"default":"mayúscula U con cuerno y punto debajo"}},"category":"Lu"}]
 ,
-"es/latin-lower-phonetic.js": 
-[{"locale":"es"},{"key":"00F8","mappings":{"default":{"default":"o barrada"}},"category":"Ll"},{"key":"0111","mappings":{"default":{"default":"d con barra"}},"category":"Ll"},{"key":"0127","mappings":{"default":{"default":"h con guión"}},"category":"Ll"},{"key":"0142","mappings":{"default":{"default":"l con guión"}},"category":"Ll"},{"key":"0167","mappings":{"default":{"default":"t con guión"}},"category":"Ll"},{"key":"019B","mappings":{"default":{"default":"lambda tachada"}},"category":"Ll"},{"key":"1E9B","mappings":{"default":{"default":"s larga con punto arriba"}},"category":"Ll"},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"key":"0192","mappings":{"default":{"default":"f con gancho"}},"category":"Ll"},{"key":"019A","mappings":{"default":{"default":"l con barra"}},"category":"Ll"},{"key":"025B","mappings":{"default":{"default":"e abierta"}},"category":"Ll"},{"key":"0149","mappings":{"default":{"default":"n precedida por apóstrofe"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
+"es/symbols/latin-upper-single-accent.js": 
+[{"locale":"es"},{"key":"00C0","mappings":{"default":{"default":"mayúscula A grave"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"mayúscula A aguda"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"mayúscula A acento circunflejo"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"mayúscula A con tilde"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"mayúscula A diéresis"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"mayúscula A con anillo"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"mayúscula C cedilla"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"mayúscula E grave"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"mayúscula E aguda"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"mayúscula E acento circunflejo"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"mayúscula E diéresis"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"mayúscula I grave"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"mayúscula I aguda"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"mayúscula I acento circumflejo"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"mayúscula I diéresis"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"mayúscula Ñ"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"mayúscula O grave"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"mayúscula O aguda"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"mayúscula O acento circunflejo"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"mayúscula O con tilde"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"mayúscula O diéresis"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"mayúscula U grave"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"mayúscula U aguda"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"mayúscula U acento circunflejo"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"mayúscula U diéresis"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"mayúscula Y aguda"}},"category":"Lu"},{"key":"0100","mappings":{"default":{"default":"mayúscula A barra"}},"category":"Lu"},{"key":"0102","mappings":{"default":{"default":"mayúscula A con breve"}},"category":"Lu"},{"key":"0104","mappings":{"default":{"default":"mayúscula A con ogonek"}},"category":"Lu"},{"key":"0106","mappings":{"default":{"default":"mayúscula C con agudo"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"mayúscula C con acento circunflejo"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"mayúscula C con punto arriba"}},"category":"Lu"},{"key":"010C","mappings":{"default":{"default":"mayúscula C con carón"}},"category":"Lu"},{"key":"010E","mappings":{"default":{"default":"mayúscula D con carón"}},"category":"Lu"},{"key":"0112","mappings":{"default":{"default":"mayúscula E barra"}},"category":"Lu"},{"category":"Lu","key":"0114","mappings":{"default":{"default":"mayúscula E con breve"}}},{"key":"0116","mappings":{"default":{"default":"mayúscula E con punto arriba"}},"category":"Lu"},{"key":"0118","mappings":{"default":{"default":"mayúscula E con ogonek"}},"category":"Lu"},{"key":"011A","mappings":{"default":{"default":"mayúscula E con carón"}},"category":"Lu"},{"key":"011C","mappings":{"default":{"default":"mayúscula G con acento circunflejo"}},"category":"Lu"},{"key":"011E","mappings":{"default":{"default":"mayúscula G con breve"}},"category":"Lu"},{"key":"0120","mappings":{"default":{"default":"mayúscula G con punto arriba"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"mayúscula G con cedilla"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"mayúscula H con acento circunflejo"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"mayúscula I con tilde"}},"category":"Lu"},{"key":"012A","mappings":{"default":{"default":"mayúscula I barra"}},"category":"Lu"},{"category":"Lu","key":"012C","mappings":{"default":{"default":"mayúscula I con breve"}}},{"key":"012E","mappings":{"default":{"default":"mayúscula I con ogonek"}},"category":"Lu"},{"key":"0130","mappings":{"default":{"default":"mayúscula I con punto arriba"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"mayúscula J con acento circunflejo"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"mayúscula K con cedilla"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"mayúscula L con agudo"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"mayúscula L con cedilla"}},"category":"Lu"},{"key":"013D","mappings":{"default":{"default":"mayúscula L con carón"}},"category":"Lu"},{"key":"013F","mappings":{"default":{"default":"mayúscula L con punto mediano"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"mayúscula N con agudo"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"mayúscula N con cedilla"}},"category":"Lu"},{"key":"0147","mappings":{"default":{"default":"mayúscula n con carón"}},"category":"Lu"},{"key":"014C","mappings":{"default":{"default":"mayúscula O barra"}},"category":"Lu"},{"category":"Lu","key":"014E","mappings":{"default":{"default":"mayúscula O con breve"}}},{"key":"0150","mappings":{"default":{"default":"mayúscula O con doble acento agudo "}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"mayúscula R con agudo"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"mayúscula R con cedilla"}},"category":"Lu"},{"key":"0158","mappings":{"default":{"default":"mayúscula R con carón"}},"category":"Lu"},{"key":"015A","mappings":{"default":{"default":"mayúscula S con agudo"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"mayúscula S con acento circunflejo"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"mayúscula S con cedilla"}},"category":"Lu"},{"key":"0160","mappings":{"default":{"default":"mayúscula S con carón"}},"category":"Lu"},{"key":"0162","mappings":{"default":{"default":"mayúscula T con cedilla"}},"category":"Lu"},{"key":"0164","mappings":{"default":{"default":"mayúscula T con carón"}},"category":"Lu"},{"key":"0168","mappings":{"default":{"default":"mayúscula U con tilde"}},"category":"Lu"},{"key":"016A","mappings":{"default":{"default":"mayúscula U barra"}},"category":"Lu"},{"key":"016C","mappings":{"default":{"default":"mayúscula U con breve"}},"category":"Lu"},{"key":"016E","mappings":{"default":{"default":"mayúscula U con anillo arriba"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"mayúscula U con doble acento agudo"}},"category":"Lu"},{"key":"0172","mappings":{"default":{"default":"mayúscula U con ogonek"}},"category":"Lu"},{"key":"0174","mappings":{"default":{"default":"mayúscula W con acento circunflejo"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"mayúscula Y con circunflejo"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"mayúscula Y diéresis"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"mayúscula Z con agudo"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"mayúscula Z con punto"}},"category":"Lu"},{"key":"017D","mappings":{"default":{"default":"mayúscula Z con carón"}},"category":"Lu"},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"mayúscula A con acento"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"mayúscula I con acento"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"mayúscula O con acento"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"mayúscula U con acento"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"mayúscula G con acento"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"mayúscula K con acento"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"mayúscula O con pecíolo"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"mayúscula G con acento agudo"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"mayúscula N con grave"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"mayúscula con doble tumba"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"mayúscula a con breve invertido"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"mayúscula E con doble tumba"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"mayúscula E con Breve invertido"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"mayúscula I con doble tumba"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"mayúscula I con Breve invertido"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"mayúscula O con doble tumba"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"mayúscula O con Breve invertido"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"mayúscula R con doble tumba"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"mayúscula R con breve invertido"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"mayúscula U con doble tumba"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"mayúscula U con breve invertido"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"mayúscula S con coma debajo"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"mayúscula T con coma debajo"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"mayúscula H con Caron"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"mayúscula con un punto arriba"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"mayúscula E con cedilla"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"mayúscula O con punto arriba"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"Mayúscula Y con Macron"}}},{"key":"1E00","mappings":{"default":{"default":"mayúscula A con anillo debajo"}},"category":"Lu"},{"key":"1E02","mappings":{"default":{"default":"mayúscula B con punto arriba"}},"category":"Lu"},{"key":"1E04","mappings":{"default":{"default":"mayúscula B con punto debajo"}},"category":"Lu"},{"key":"1E06","mappings":{"default":{"default":"mayúscula B con línea debajo"}},"category":"Lu"},{"key":"1E0A","mappings":{"default":{"default":"mayúscula D con punto arriba"}},"category":"Lu"},{"key":"1E0C","mappings":{"default":{"default":"mayúscula D con punto debajo"}},"category":"Lu"},{"key":"1E0E","mappings":{"default":{"default":"mayúscula D con línea debajo"}},"category":"Lu"},{"key":"1E10","mappings":{"default":{"default":"mayúscula D con cedilla"}},"category":"Lu"},{"key":"1E12","mappings":{"default":{"default":"mayúscula D con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E18","mappings":{"default":{"default":"mayúscula E con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E1A","mappings":{"default":{"default":"mayúscula E con tilde debajo"}},"category":"Lu"},{"key":"1E1E","mappings":{"default":{"default":"mayúscula F con punto arriba"}},"category":"Lu"},{"key":"1E20","mappings":{"default":{"default":"mayúscula G con macrón"}},"category":"Lu"},{"key":"1E22","mappings":{"default":{"default":"mayúscula H con punto arriba"}},"category":"Lu"},{"key":"1E24","mappings":{"default":{"default":"mayúscula H con punto debajo"}},"category":"Lu"},{"key":"1E26","mappings":{"default":{"default":"mayúscula H con diéresis"}},"category":"Lu"},{"key":"1E28","mappings":{"default":{"default":"mayúscula H con cedilla"}},"category":"Lu"},{"key":"1E2A","mappings":{"default":{"default":"mayúscula H con breve debajo"}},"category":"Lu"},{"key":"1E2C","mappings":{"default":{"default":"mayúscula I con tilde debajo"}},"category":"Lu"},{"key":"1E30","mappings":{"default":{"default":"mayúscula K con agudo"}},"category":"Lu"},{"key":"1E32","mappings":{"default":{"default":"mayúscula K con punto debajo"}},"category":"Lu"},{"key":"1E34","mappings":{"default":{"default":"mayúscula K con línea debajo"}},"category":"Lu"},{"key":"1E36","mappings":{"default":{"default":"mayúscula L con punto debajo"}},"category":"Lu"},{"key":"1E3A","mappings":{"default":{"default":"mayúscula L con línea debajo"}},"category":"Lu"},{"key":"1E3C","mappings":{"default":{"default":"mayúscula L con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E3E","mappings":{"default":{"default":"mayúscula M con agudo"}},"category":"Lu"},{"key":"1E40","mappings":{"default":{"default":"mayúscula M con punto arriba"}},"category":"Lu"},{"key":"1E42","mappings":{"default":{"default":"mayúscula M con punto debajo"}},"category":"Lu"},{"key":"1E44","mappings":{"default":{"default":"mayúscula N con punto arriba"}},"category":"Lu"},{"key":"1E46","mappings":{"default":{"default":"mayúscula N con punto debajo"}},"category":"Lu"},{"key":"1E48","mappings":{"default":{"default":"mayúscula N con línea debajo"}},"category":"Lu"},{"key":"1E4A","mappings":{"default":{"default":"mayúscula N con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E54","mappings":{"default":{"default":"mayúscula P con agudo"}},"category":"Lu"},{"key":"1E56","mappings":{"default":{"default":"mayúscula P con punto arriba"}},"category":"Lu"},{"key":"1E58","mappings":{"default":{"default":"mayúscula R con punto arriba"}},"category":"Lu"},{"key":"1E5A","mappings":{"default":{"default":"mayúscula R con punto debajo"}},"category":"Lu"},{"key":"1E5E","mappings":{"default":{"default":"mayúscula R con línea debajo"}},"category":"Lu"},{"key":"1E60","mappings":{"default":{"default":"mayúscula S con punto arriba"}},"category":"Lu"},{"key":"1E62","mappings":{"default":{"default":"mayúscula S con punto debajo"}},"category":"Lu"},{"key":"1E6A","mappings":{"default":{"default":"mayúscula T con punto arriba"}},"category":"Lu"},{"key":"1E6C","mappings":{"default":{"default":"mayúscula T con punto debajo"}},"category":"Lu"},{"key":"1E6E","mappings":{"default":{"default":"mayúscula T con línea debajo"}},"category":"Lu"},{"key":"1E70","mappings":{"default":{"default":"mayúscula T con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E72","mappings":{"default":{"default":"mayúscula U con diéresis debajo"}},"category":"Lu"},{"key":"1E74","mappings":{"default":{"default":"mayúscula U con tilde debajo"}},"category":"Lu"},{"key":"1E76","mappings":{"default":{"default":"mayúscula U con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E7C","mappings":{"default":{"default":"mayúscula V con tilde"}},"category":"Lu"},{"key":"1E7E","mappings":{"default":{"default":"mayúscula V con punto debajo"}},"category":"Lu"},{"key":"1E80","mappings":{"default":{"default":"mayúscula W con grave"}},"category":"Lu"},{"key":"1E82","mappings":{"default":{"default":"mayúscula W con agudo"}},"category":"Lu"},{"key":"1E84","mappings":{"default":{"default":"mayúscula W con diéresis"}},"category":"Lu"},{"key":"1E86","mappings":{"default":{"default":"mayúscula W con punto arriba"}},"category":"Lu"},{"key":"1E88","mappings":{"default":{"default":"mayúscula W con punto debajo"}},"category":"Lu"},{"key":"1E8A","mappings":{"default":{"default":"mayúscula X con punto arriba"}},"category":"Lu"},{"key":"1E8C","mappings":{"default":{"default":"mayúscula X con diéresis"}},"category":"Lu"},{"key":"1E8E","mappings":{"default":{"default":"mayúscula Y con punto arriba"}},"category":"Lu"},{"key":"1E90","mappings":{"default":{"default":"mayúscula Z con acento circunflejo"}},"category":"Lu"},{"key":"1E92","mappings":{"default":{"default":"mayúscula Z con punto debajo"}},"category":"Lu"},{"key":"1E94","mappings":{"default":{"default":"mayúscula Z with line below"}},"category":"Lu"},{"key":"1EA0","mappings":{"default":{"default":"mayúscula A con punto debajo"}},"category":"Lu"},{"key":"1EA2","mappings":{"default":{"default":"mayúscula A con gancho arriba"}},"category":"Lu"},{"key":"1EB8","mappings":{"default":{"default":"mayúscula E con punto debajo"}},"category":"Lu"},{"key":"1EBA","mappings":{"default":{"default":"mayúscula E con gancho arriba"}},"category":"Lu"},{"key":"1EBC","mappings":{"default":{"default":"mayúscula E con tilde"}},"category":"Lu"},{"key":"1EC8","mappings":{"default":{"default":"mayúscula I con gancho arriba"}},"category":"Lu"},{"key":"1ECA","mappings":{"default":{"default":"mayúscula I con punto debajo"}},"category":"Lu"},{"key":"1ECC","mappings":{"default":{"default":"mayúscula O con punto debajo"}},"category":"Lu"},{"key":"1ECE","mappings":{"default":{"default":"mayúscula O con gancho arriba"}},"category":"Lu"},{"key":"1EE4","mappings":{"default":{"default":"mayúscula U con punto debajo"}},"category":"Lu"},{"key":"1EE6","mappings":{"default":{"default":"mayúscula U con gancho arriba"}},"category":"Lu"},{"key":"1EF2","mappings":{"default":{"default":"mayúscula Y con grave"}},"category":"Lu"},{"key":"1EF4","mappings":{"default":{"default":"mayúscula Y con punto debajo"}},"category":"Lu"},{"key":"1EF6","mappings":{"default":{"default":"mayúscula Y con gancho arriba"}},"category":"Lu"},{"key":"1EF8","mappings":{"default":{"default":"mayúscula Y con tilde"}},"category":"Lu"}]
 ,
-"es/latin-lower-single-accent.js": 
-[{"locale":"es"},{"key":"00E0","mappings":{"default":{"default":"a grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a aguda"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a acento circunflejo"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a con tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a diéresis"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a con anillo"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c cedilla"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e aguda"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e acento circunflejo"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e diéresis"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i aguda"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i acento circunflejo"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i diéresis"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"eñe"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o aguda"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o acento circunflejo"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o con tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o diéresis"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u aguda"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u acento circunflejo"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u diéresis"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"Y aguda","defaultMP":"ye aguda"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y diéresis","defaultMP":"ye diéresis"}},"category":"Ll"},{"key":"0101","mappings":{"default":{"default":"a barra"}},"category":"Ll"},{"key":"0103","mappings":{"default":{"default":"a con breve"}},"category":"Ll"},{"key":"0105","mappings":{"default":{"default":"a con ogonek"}},"category":"Ll"},{"key":"0107","mappings":{"default":{"default":"c con agudo"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c con acento circunflejo"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c con punto arriba"}},"category":"Ll"},{"key":"010D","mappings":{"default":{"default":"c con carón"}},"category":"Ll"},{"key":"010F","mappings":{"default":{"default":"d con carón"}},"category":"Ll"},{"key":"0113","mappings":{"default":{"default":"e barra"}},"category":"Ll"},{"key":"0117","mappings":{"default":{"default":"e con punto arriba"}},"category":"Ll"},{"key":"0119","mappings":{"default":{"default":"e con ogonek"}},"category":"Ll"},{"key":"011B","mappings":{"default":{"default":"e con carón"}},"category":"Ll"},{"key":"011D","mappings":{"default":{"default":"g con acento circunflejo"}},"category":"Ll"},{"key":"011F","mappings":{"default":{"default":"g con breve"}},"category":"Ll"},{"key":"0121","mappings":{"default":{"default":"g con punto arriba"}},"category":"Ll"},{"key":"0125","mappings":{"default":{"default":"h con acento circunflejo"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i con tilde"}},"category":"Ll"},{"key":"012B","mappings":{"default":{"default":"i barra"}},"category":"Ll"},{"key":"012F","mappings":{"default":{"default":"i con ogonek"}},"category":"Ll"},{"key":"0131","mappings":{"default":{"default":"i sin punto"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j con acento circunflejo"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k con cedilla"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l con agudo"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l con cedilla"}},"category":"Ll"},{"key":"013E","mappings":{"default":{"default":"l con carón"}},"category":"Ll"},{"key":"0140","mappings":{"default":{"default":"l con punto mediano"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n con agudo"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n con cedilla"}},"category":"Ll"},{"key":"0148","mappings":{"default":{"default":"n con carón"}},"category":"Ll"},{"key":"014D","mappings":{"default":{"default":"o barra"}},"category":"Ll"},{"key":"0151","mappings":{"default":{"default":"o con doble acento agudo"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r con agudo"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r con cedilla"}},"category":"Ll"},{"key":"0159","mappings":{"default":{"default":"r con carón"}},"category":"Ll"},{"key":"015B","mappings":{"default":{"default":"s con agudo"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s con acento circunflejo"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s con cedilla"}},"category":"Ll"},{"key":"0161","mappings":{"default":{"default":"s con carón"}},"category":"Ll"},{"key":"0163","mappings":{"default":{"default":"t con cedilla"}},"category":"Ll"},{"key":"0165","mappings":{"default":{"default":"t con carón"}},"category":"Ll"},{"key":"0169","mappings":{"default":{"default":"u con tilde"}},"category":"Ll"},{"key":"016B","mappings":{"default":{"default":"u barra"}},"category":"Ll"},{"key":"016D","mappings":{"default":{"default":"u con breve"}},"category":"Ll"},{"key":"016F","mappings":{"default":{"default":"u con anillo arriba"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u con doble acento agudo"}},"category":"Ll"},{"key":"0173","mappings":{"default":{"default":"u con ogonek"}},"category":"Ll"},{"key":"0175","mappings":{"default":{"default":"w con circunflejo"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y con circunflejo"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z con agudo"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z con punto"}},"category":"Ll"},{"key":"017E","mappings":{"default":{"default":"z con carón"}},"category":"Ll"},{"key":"01F5","mappings":{"default":{"default":"g con agudo"}},"category":"Ll"},{"key":"1E01","mappings":{"default":{"default":"a con anillo debajo"}},"category":"Ll"},{"key":"1E03","mappings":{"default":{"default":"b con punto arriba"}},"category":"Ll"},{"key":"1E05","mappings":{"default":{"default":"b con punto debajo"}},"category":"Ll"},{"key":"1E07","mappings":{"default":{"default":"b con línea debajo"}},"category":"Ll"},{"key":"1E0B","mappings":{"default":{"default":"d con punto arriba"}},"category":"Ll"},{"key":"1E0D","mappings":{"default":{"default":"d con punto debajo"}},"category":"Ll"},{"key":"1E0F","mappings":{"default":{"default":"d con línea debajo"}},"category":"Ll"},{"key":"1E11","mappings":{"default":{"default":"d con cedilla"}},"category":"Ll"},{"key":"1E13","mappings":{"default":{"default":"d con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E19","mappings":{"default":{"default":"e con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E1B","mappings":{"default":{"default":"e con tilde debajo"}},"category":"Ll"},{"key":"1E1F","mappings":{"default":{"default":"f con punto arriba"}},"category":"Ll"},{"key":"1E21","mappings":{"default":{"default":"g con macrón"}},"category":"Ll"},{"key":"1E23","mappings":{"default":{"default":"h con punto arriba"}},"category":"Ll"},{"key":"1E25","mappings":{"default":{"default":"h con punto debajo"}},"category":"Ll"},{"key":"1E27","mappings":{"default":{"default":"h con diéresis"}},"category":"Ll"},{"key":"1E29","mappings":{"default":{"default":"h con cedilla"}},"category":"Ll"},{"key":"1E2B","mappings":{"default":{"default":"h con breve debajo"}},"category":"Ll"},{"key":"1E2D","mappings":{"default":{"default":"i con tilde debajo"}},"category":"Ll"},{"key":"1E31","mappings":{"default":{"default":"k con agudo"}},"category":"Ll"},{"key":"1E33","mappings":{"default":{"default":"k con punto debajo"}},"category":"Ll"},{"key":"1E35","mappings":{"default":{"default":"k con línea debajo"}},"category":"Ll"},{"key":"1E37","mappings":{"default":{"default":"l con punto debajo"}},"category":"Ll"},{"key":"1E3B","mappings":{"default":{"default":"l con línea debajo"}},"category":"Ll"},{"key":"1E3D","mappings":{"default":{"default":"l con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E3F","mappings":{"default":{"default":"m con agudo"}},"category":"Ll"},{"key":"1E41","mappings":{"default":{"default":"m con punto arriba"}},"category":"Ll"},{"key":"1E43","mappings":{"default":{"default":"m con punto debajo"}},"category":"Ll"},{"key":"1E45","mappings":{"default":{"default":"n con punto arriba"}},"category":"Ll"},{"key":"1E47","mappings":{"default":{"default":"n con punto debajo"}},"category":"Ll"},{"key":"1E49","mappings":{"default":{"default":"n con línea debajo"}},"category":"Ll"},{"key":"1E4B","mappings":{"default":{"default":"n con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E55","mappings":{"default":{"default":"p con agudo"}},"category":"Ll"},{"key":"1E57","mappings":{"default":{"default":"p con punto arriba"}},"category":"Ll"},{"key":"1E59","mappings":{"default":{"default":"r con punto arriba"}},"category":"Ll"},{"key":"1E5B","mappings":{"default":{"default":"r con punto debajo"}},"category":"Ll"},{"key":"1E5F","mappings":{"default":{"default":"r con línea debajo"}},"category":"Ll"},{"key":"1E61","mappings":{"default":{"default":"s con punto arriba"}},"category":"Ll"},{"key":"1E63","mappings":{"default":{"default":"s con punto debajo"}},"category":"Ll"},{"key":"1E6B","mappings":{"default":{"default":"t con punto arriba"}},"category":"Ll"},{"key":"1E6D","mappings":{"default":{"default":"t con punto debajo"}},"category":"Ll"},{"key":"1E6F","mappings":{"default":{"default":"t con línea debajo"}},"category":"Ll"},{"key":"1E71","mappings":{"default":{"default":"t con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E73","mappings":{"default":{"default":"u con diéresis debajo"}},"category":"Ll"},{"key":"1E75","mappings":{"default":{"default":"u con tilde debajo"}},"category":"Ll"},{"key":"1E77","mappings":{"default":{"default":"u con acento circunflejo debajo"}},"category":"Ll"},{"key":"1E7D","mappings":{"default":{"default":"v con tilde"}},"category":"Ll"},{"key":"1E7F","mappings":{"default":{"default":"v con punto debajo"}},"category":"Ll"},{"key":"1E81","mappings":{"default":{"default":"w con grave"}},"category":"Ll"},{"key":"1E83","mappings":{"default":{"default":"w con agudo"}},"category":"Ll"},{"key":"1E85","mappings":{"default":{"default":"w con diéresis"}},"category":"Ll"},{"key":"1E87","mappings":{"default":{"default":"w con punto arriba"}},"category":"Ll"},{"key":"1E89","mappings":{"default":{"default":"w con punto debajo"}},"category":"Ll"},{"key":"1E8B","mappings":{"default":{"default":"x con punto arriba"}},"category":"Ll"},{"key":"1E8D","mappings":{"default":{"default":"x con diéresis"}},"category":"Ll"},{"key":"1E8F","mappings":{"default":{"default":"y con punto arriba"}},"category":"Ll"},{"key":"1E91","mappings":{"default":{"default":"z con acento circunflejo"}},"category":"Ll"},{"key":"1E93","mappings":{"default":{"default":"z con punto debajo"}},"category":"Ll"},{"key":"1E95","mappings":{"default":{"default":"z con línea debajo"}},"category":"Ll"},{"key":"1E96","mappings":{"default":{"default":"h con línea debajo"}},"category":"Ll"},{"key":"1E97","mappings":{"default":{"default":"t con diéresis"}},"category":"Ll"},{"key":"1E98","mappings":{"default":{"default":"w con anillo arriba"}},"category":"Ll"},{"key":"1E99","mappings":{"default":{"default":"y con anillo arriba"}},"category":"Ll"},{"key":"1E9A","mappings":{"default":{"default":"a con medio derecho de anillo"}},"category":"Ll"},{"key":"1EA1","mappings":{"default":{"default":"a con punto debajo"}},"category":"Ll"},{"key":"1EA3","mappings":{"default":{"default":"a con gancho arriba"}},"category":"Ll"},{"key":"1EB9","mappings":{"default":{"default":"e con punto debajo"}},"category":"Ll"},{"key":"1EBB","mappings":{"default":{"default":"e con gancho arriba"}},"category":"Ll"},{"key":"1EBD","mappings":{"default":{"default":"e con tilde"}},"category":"Ll"},{"key":"1EC9","mappings":{"default":{"default":"i con gancho arriba"}},"category":"Ll"},{"key":"1ECB","mappings":{"default":{"default":"i con punto debajo"}},"category":"Ll"},{"key":"1ECD","mappings":{"default":{"default":"o con punto debajo"}},"category":"Ll"},{"key":"1ECF","mappings":{"default":{"default":"o con gancho arriba"}},"category":"Ll"},{"key":"1EE5","mappings":{"default":{"default":"u con punto debajo"}},"category":"Ll"},{"key":"1EE7","mappings":{"default":{"default":"u con gancho arriba"}},"category":"Ll"},{"key":"1EF3","mappings":{"default":{"default":"y con grave"}},"category":"Ll"},{"key":"1EF5","mappings":{"default":{"default":"y con punto debajo"}},"category":"Ll"},{"key":"1EF7","mappings":{"default":{"default":"y con gancho arriba"}},"category":"Ll"},{"key":"1EF9","mappings":{"default":{"default":"y con tilde"}},"category":"Ll"}]
+"es/symbols/math_angles.js": 
+[{"locale":"es"},{"key":"22BE","mappings":{"default":{"default":"ángulo recto con arco"}},"category":"Sm"},{"key":"237C","mappings":{"default":{"default":"ángulo recto con flecha zigzag hacia abajo"}},"category":"Sm"},{"key":"27C0","mappings":{"default":{"default":"ángulo sólido"}},"category":"Sm"},{"category":"Sm","key":"299B","mappings":{"default":{"default":"Ángulo medido de apertura a la izquierda"}}},{"category":"Sm","key":"299C","mappings":{"default":{"default":"Variante de ángulo recto con cuadrado"}}},{"key":"299D","mappings":{"default":{"default":"ángulo recto medido con punto"}},"category":"Sm"},{"category":"Sm","key":"299E","mappings":{"default":{"default":"Ángulo con S dentro"}}},{"category":"Sm","key":"299F","mappings":{"default":{"default":"Ángulo agudo"}}},{"category":"Sm","key":"29A0","mappings":{"default":{"default":"Ángulo esférico de apertura a la izquierda"}}},{"category":"Sm","key":"29A1","mappings":{"default":{"default":"Apertura de ángulo esférico"}}},{"category":"Sm","key":"29A2","mappings":{"default":{"default":"Ángulo de giro"}}},{"category":"Sm","key":"29A3","mappings":{"default":{"default":"Ángulo invertido"}}},{"key":"29A4","mappings":{"default":{"default":"ángulo con barra inferior"}},"category":"Sm"},{"key":"29A5","mappings":{"default":{"default":"ángulo inverso con barra inferior"}},"category":"Sm"},{"key":"29A6","mappings":{"default":{"default":"ángulo oblicuo hacia arriba"}},"category":"Sm"},{"key":"29A7","mappings":{"default":{"default":"ángulo oblicuo hacia abajo"}},"category":"Sm"},{"key":"29A8","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the right"}},"category":"Sm"},{"key":"29A9","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the left"}},"category":"Sm"},{"key":"29AA","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the right"}},"category":"Sm"},{"key":"29AB","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the left"}},"category":"Sm"},{"key":"29AC","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"category":"Sm"},{"key":"29AD","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"category":"Sm"},{"key":"29AE","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"category":"Sm"},{"key":"29AF","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"category":"Sm"}]
 ,
-"es/latin-mathfonts-bold-fraktur.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula A"}},"key":"1D56C"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula B"}},"key":"1D56D"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula C"}},"key":"1D56E"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula D"}},"key":"1D56F"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula E"}},"key":"1D570"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula F"}},"key":"1D571"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula G"}},"key":"1D572"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula H"}},"key":"1D573"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula I"}},"key":"1D574"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula J"}},"key":"1D575"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula K"}},"key":"1D576"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula L"}},"key":"1D577"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula M"}},"key":"1D578"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula N"}},"key":"1D579"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula O"}},"key":"1D57A"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula P"}},"key":"1D57B"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula Q"}},"key":"1D57C"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula R"}},"key":"1D57D"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula S"}},"key":"1D57E"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula T"}},"key":"1D57F"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula U"}},"key":"1D580"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula V"}},"key":"1D581"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula W"}},"key":"1D582"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula X"}},"key":"1D583"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula Y"}},"key":"1D584"},{"category":"Lu","mappings":{"default":{"default":"negrita Fraktur mayúscula Z"}},"key":"1D585"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur a"}},"key":"1D586"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur b"}},"key":"1D587"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur c"}},"key":"1D588"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur d"}},"key":"1D589"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur e"}},"key":"1D58A"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur f"}},"key":"1D58B"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur g"}},"key":"1D58C"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur h"}},"key":"1D58D"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur i"}},"key":"1D58E"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur j"}},"key":"1D58F"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur k"}},"key":"1D590"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur l"}},"key":"1D591"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur m"}},"key":"1D592"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur n"}},"key":"1D593"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur o"}},"key":"1D594"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur p"}},"key":"1D595"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur q"}},"key":"1D596"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur r"}},"key":"1D597"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur s"}},"key":"1D598"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur t"}},"key":"1D599"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur u"}},"key":"1D59A"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur v"}},"key":"1D59B"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur w"}},"key":"1D59C"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur x"}},"key":"1D59D"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur y"}},"key":"1D59E"},{"category":"Ll","mappings":{"default":{"default":"negrita Fraktur z"}},"key":"1D59F"}]
+"es/symbols/math_arrows.js": 
+[{"locale":"es"},{"key":"2190","mappings":{"default":{"default":"flecha izquierda"}},"category":"Sm"},{"key":"2191","mappings":{"default":{"default":"flecha arriba"}},"category":"Sm"},{"key":"2192","mappings":{"default":{"default":"flecha derecha","defaultMP":"flecha"}},"category":"Sm"},{"key":"2193","mappings":{"default":{"default":"flecha abajo"}},"category":"Sm"},{"key":"2194","mappings":{"default":{"default":"flecha izquierda y derecha"}},"category":"Sm"},{"key":"2195","mappings":{"default":{"default":"flecha arriba y abajo"}},"category":"So"},{"key":"2196","mappings":{"default":{"default":"flecha a noroeste"}},"category":"So"},{"key":"2197","mappings":{"default":{"default":"flecha a nordeste"}},"category":"So"},{"key":"2198","mappings":{"default":{"default":"flecha a sureste"}},"category":"So"},{"key":"2199","mappings":{"default":{"default":"flecha a suroeste"}},"category":"So"},{"key":"219A","mappings":{"default":{"default":"flecha izquierda tachada"}},"category":"Sm"},{"key":"219B","mappings":{"default":{"default":"flecha tachada"}},"category":"Sm"},{"key":"219C","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"219D","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"219E","mappings":{"default":{"default":"flecha izquierda con doble punta"}},"category":"So"},{"key":"219F","mappings":{"default":{"default":"flecha con doble punta hacia arriba"}},"category":"So"},{"key":"21A0","mappings":{"default":{"default":"flecha derechaa con doble punta"}},"category":"Sm"},{"key":"21A1","mappings":{"default":{"default":"flecha con doble punta hacia abajo"}},"category":"So"},{"key":"21A2","mappings":{"default":{"default":"flecha izquierda con cola"}},"category":"So"},{"key":"21A3","mappings":{"default":{"default":"flecha derecha con cola"}},"category":"Sm"},{"key":"21A4","mappings":{"default":{"default":"flecha izquierda de barra"}},"category":"So"},{"key":"21A5","mappings":{"default":{"default":"barra con flecha"}},"category":"So"},{"key":"21A6","mappings":{"default":{"default":"flecha derecha de barra"}},"category":"Sm"},{"key":"21A7","mappings":{"default":{"default":"flecha con barra"}},"category":"So"},{"key":"21A8","mappings":{"default":{"default":"flecha arriba y abajo con base"}},"category":"So"},{"key":"21A9","mappings":{"default":{"default":"flecha izquierda con gancho"}},"category":"So"},{"key":"21AA","mappings":{"default":{"default":"flecha con gancho"}},"category":"So"},{"key":"21AB","mappings":{"default":{"default":"flecha izquierda con lazo"}},"category":"So"},{"key":"21AC","mappings":{"default":{"default":"flecha con lazo"}},"category":"So"},{"key":"21AD","mappings":{"default":{"default":"flecha ondulada izquierda y derecha"}},"category":"So"},{"key":"21AE","mappings":{"default":{"default":"flecha izquierda y derecha tachada"}},"category":"Sm"},{"key":"21AF","mappings":{"default":{"default":"flecha zigzag abajo"}},"category":"So"},{"key":"21B0","mappings":{"default":{"default":"flecha arriba con punta izquierda"}},"category":"So"},{"key":"21B1","mappings":{"default":{"default":"flecha arriba con punta derecha"}},"category":"So"},{"key":"21B2","mappings":{"default":{"default":"flecha abajo con punta izquierda"}},"category":"So"},{"key":"21B3","mappings":{"default":{"default":"flecha abajo con punta derecha"}},"category":"So"},{"key":"21B4","mappings":{"default":{"default":"flecha derecha desde esquina inferior"}},"category":"So"},{"key":"21B5","mappings":{"default":{"default":"flecha hacia abajo desde esquina izquierda"}},"category":"So"},{"key":"21B6","mappings":{"default":{"default":"flecha semicircular superior en sentido antihorario"}},"category":"So"},{"key":"21B7","mappings":{"default":{"default":"flecha semicircular superior en sentido horario"}},"category":"So"},{"key":"21B8","mappings":{"default":{"default":"flecha noroeste a barra larga"}},"category":"So"},{"key":"21B9","mappings":{"default":{"default":"flecha izquierda a barra arriba de flecha derecha a barra"}},"category":"So"},{"key":"21BA","mappings":{"default":{"default":"flecha circular abierta en sentido antihorario"}},"category":"So"},{"key":"21BB","mappings":{"default":{"default":"flecha circular abierta en sentido horario"}},"category":"So"},{"key":"21C4","mappings":{"default":{"default":"flecha derecha arriba de flecha izquierda"}},"category":"So"},{"key":"21C5","mappings":{"default":{"default":"flecha arriba a la izquierda de flecha abajo"}},"category":"So"},{"key":"21C6","mappings":{"default":{"default":"flecha izquierda arriba de flecha derecha"}},"category":"So"},{"key":"21C7","mappings":{"default":{"default":"dos flechas hacia la izquierda"}},"category":"So"},{"key":"21C8","mappings":{"default":{"default":"dos flechas hacia arriba"}},"category":"So"},{"key":"21C9","mappings":{"default":{"default":"dos flechas"}},"category":"So"},{"key":"21CA","mappings":{"default":{"default":"dos flechas hacia abajo"}},"category":"So"},{"key":"21CD","mappings":{"default":{"default":"flecha doble izquierda tachada"}},"category":"So"},{"key":"21CE","mappings":{"default":{"default":"flecha doble izquierda y derecha tachada"}},"category":"Sm"},{"key":"21CF","mappings":{"default":{"default":"flecha doble tachada"}},"category":"Sm"},{"key":"21D0","mappings":{"default":{"default":"flecha doble hacia la izquierda"}},"category":"So"},{"key":"21D1","mappings":{"default":{"default":"flecha doble hacia arriba"}},"category":"So"},{"key":"21D2","mappings":{"default":{"default":"flecha doble"}},"category":"Sm"},{"key":"21D3","mappings":{"default":{"default":"flecha doble hacia abajo"}},"category":"So"},{"key":"21D4","mappings":{"default":{"default":"flecha doble izquierda-derecha"}},"category":"Sm"},{"key":"21D5","mappings":{"default":{"default":"flecha doble vertical"}},"category":"So"},{"key":"21D6","mappings":{"default":{"default":"flecha doble hacia noroeste"}},"category":"So"},{"key":"21D7","mappings":{"default":{"default":"flecha doble hacia nordeste"}},"category":"So"},{"key":"21D8","mappings":{"default":{"default":"flecha doble hacia sudeste"}},"category":"So"},{"key":"21D9","mappings":{"default":{"default":"flecha doble hacia sudoeste"}},"category":"So"},{"key":"21DA","mappings":{"default":{"default":"flecha triple izquierda"}},"category":"So"},{"key":"21DB","mappings":{"default":{"default":"flecha triple"}},"category":"So"},{"key":"21DC","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"21DD","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"21DE","mappings":{"default":{"default":"flecha hacia arriba con doble tachado"}},"category":"So"},{"key":"21DF","mappings":{"default":{"default":"flecha hacia abajo con doble tachado"}},"category":"So"},{"key":"21E0","mappings":{"default":{"default":"flecha de puntos hacia la izquierda"}},"category":"So"},{"key":"21E1","mappings":{"default":{"default":"flecha de puntos hacia arriba"}},"category":"So"},{"key":"21E2","mappings":{"default":{"default":"flecha de puntos"}},"category":"So"},{"key":"21E3","mappings":{"default":{"default":"flecha de puntos hacia abajo"}},"category":"So"},{"key":"21E4","mappings":{"default":{"default":"flecha izquierda a barra"}},"category":"So"},{"key":"21E5","mappings":{"default":{"default":"flecha derecha a barra"}},"category":"So"},{"key":"21E6","mappings":{"default":{"default":"flecha vacía hacia la izquierda"}},"category":"So"},{"key":"21E7","mappings":{"default":{"default":"flecha vacía hacia arriba"}},"category":"So"},{"key":"21E8","mappings":{"default":{"default":"flecha vacía"}},"category":"So"},{"key":"21E9","mappings":{"default":{"default":"flecha vacía hacia abajo"}},"category":"So"},{"key":"21EA","mappings":{"default":{"default":"flecha vacía hacia arriba desde barra"}},"category":"So"},{"category":"So","key":"21EB","mappings":{"default":{"default":"flecha blanca hacia arriba en el pedestal"}}},{"category":"So","key":"21EC","mappings":{"default":{"default":"flecha blanca hacia arriba sobre pedestal con barra horizontal"}}},{"category":"So","key":"21ED","mappings":{"default":{"default":"flecha blanca hacia arriba sobre pedestal con barra vertical"}}},{"category":"So","key":"21EE","mappings":{"default":{"default":"flecha doble hacia arriba blanca"}}},{"category":"So","key":"21EF","mappings":{"default":{"default":"flecha doble hacia arriba blanca en pedestal"}}},{"category":"So","key":"21F0","mappings":{"default":{"default":"flecha blanca hacia la derecha de la pared"}}},{"category":"So","key":"21F1","mappings":{"default":{"default":"flecha del noroeste a la esquina"}}},{"category":"So","key":"21F2","mappings":{"default":{"default":"flecha del sudeste a la esquina"}}},{"category":"So","key":"21F3","mappings":{"default":{"default":"arriba abajo flecha blanca"}}},{"category":"Sm","key":"21F4","mappings":{"default":{"default":"flecha derecha con círculo pequeño"}}},{"key":"21F5","mappings":{"default":{"default":"upwards arrow to the right of downwards arrow"}},"category":"Sm"},{"category":"Sm","key":"21F6","mappings":{"default":{"default":"tres flechas a la derecha"}}},{"category":"Sm","key":"21F7","mappings":{"default":{"default":"flecha hacia la izquierda con trazo vertical"}}},{"category":"Sm","key":"21F8","mappings":{"default":{"default":"flecha hacia la derecha con trazo vertical"}}},{"category":"Sm","key":"21F9","mappings":{"default":{"default":"flecha izquierda derecha con trazo vertical"}}},{"category":"Sm","key":"21FA","mappings":{"default":{"default":"flecha hacia la izquierda con doble trazo vertical"}}},{"category":"Sm","key":"21FB","mappings":{"default":{"default":"flecha hacia la derecha con doble trazo vertical"}}},{"category":"Sm","key":"21FC","mappings":{"default":{"default":"flecha izquierda derecha con doble trazo vertical"}}},{"key":"21FD","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FE","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FF","mappings":{"default":{"default":"flecha izquierda derecha con punta vacía"}},"category":"Sm"},{"category":"So","key":"2301","mappings":{"default":{"default":"flecha electrica"}}},{"category":"So","key":"2303","mappings":{"default":{"default":"flecha arriba"}}},{"category":"So","key":"2304","mappings":{"default":{"default":"flecha hacia abajo"}}},{"category":"So","key":"2324","mappings":{"default":{"default":"flecha arriba entre dos barras horizontales"}}},{"category":"So","key":"238B","mappings":{"default":{"default":"círculo roto con la flecha del noroeste"}}},{"category":"So","key":"2794","mappings":{"default":{"default":"flecha hacia la derecha con cabeza ancha"}}},{"category":"So","key":"2798","mappings":{"default":{"default":"flecha Sureste pesada"}}},{"category":"So","key":"2799","mappings":{"default":{"default":"flecha hacia la derecha pesada"}}},{"category":"So","key":"279A","mappings":{"default":{"default":"flecha pesada del noreste"}}},{"category":"So","key":"279B","mappings":{"default":{"default":"punto de dibujo Flecha hacia la derecha"}}},{"category":"So","key":"279C","mappings":{"default":{"default":"flecha hacia la derecha con punta redonda redonda"}}},{"category":"So","key":"279D","mappings":{"default":{"default":"flecha hacia la derecha con forma de triángulo"}}},{"category":"So","key":"279E","mappings":{"default":{"default":"flecha hacia la derecha con forma de triángulo pesado"}}},{"category":"So","key":"279F","mappings":{"default":{"default":"triángulo punteado hacia la flecha hacia la derecha"}}},{"category":"So","key":"27A0","mappings":{"default":{"default":"flecha hacia la derecha con forma de triángulo de trazo pesado"}}},{"category":"So","key":"27A1","mappings":{"default":{"default":"flecha hacia la derecha negra"}}},{"category":"So","key":"27A2","mappings":{"default":{"default":"punta de flecha tridimensional hacia la derecha hacia arriba"}}},{"category":"So","key":"27A3","mappings":{"default":{"default":"punta de flecha hacia la derecha con iluminación inferior en tres dimensiones"}}},{"category":"So","key":"27A4","mappings":{"default":{"default":"punta de flecha negra hacia la derecha"}}},{"category":"So","key":"27A5","mappings":{"default":{"default":"pesado negro curvado hacia abajo y hacia la derecha flecha"}}},{"category":"So","key":"27A6","mappings":{"default":{"default":"pesado negro curvado hacia arriba y hacia la derecha flecha"}}},{"category":"So","key":"27A7","mappings":{"default":{"default":"squat Black Arrow hacia la derecha"}}},{"category":"So","key":"27A8","mappings":{"default":{"default":"flecha hacia la derecha de color negro cóncava puntiaguda pesada"}}},{"category":"So","key":"27A9","mappings":{"default":{"default":"sombra derecha flecha blanca hacia la derecha"}}},{"category":"So","key":"27AA","mappings":{"default":{"default":"sombra hacia la izquierda blanca a la izquierda"}}},{"category":"So","key":"27AB","mappings":{"default":{"default":"back-Tilted Shadowed White Right Arrow"}}},{"category":"So","key":"27AC","mappings":{"default":{"default":"flecha hacia la derecha blanca sombreada inclinada hacia delante"}}},{"category":"So","key":"27AD","mappings":{"default":{"default":"flecha hacia la derecha pesada inferior, sombreada a la derecha, blanca"}}},{"category":"So","key":"27AE","mappings":{"default":{"default":"flecha hacia la derecha blanca superior derecha sombreada pesada"}}},{"category":"So","key":"27AF","mappings":{"default":{"default":"con muesca, flecha derecha hacia abajo, a la derecha, hacia la derecha"}}},{"category":"So","key":"27B1","mappings":{"default":{"default":"con muescas, flecha derecha hacia arriba, a la derecha, hacia la derecha"}}},{"category":"So","key":"27B2","mappings":{"default":{"default":"círculo pesado blanco flecha hacia la derecha"}}},{"category":"So","key":"27B3","mappings":{"default":{"default":"flecha hacia la derecha con plumas blancas"}}},{"category":"So","key":"27B4","mappings":{"default":{"default":"flecha suroriental de plumas negras"}}},{"category":"So","key":"27B5","mappings":{"default":{"default":"flecha hacia la derecha con plumas negras"}}},{"category":"So","key":"27B6","mappings":{"default":{"default":"flecha del noreste con plumas negras"}}},{"category":"So","key":"27B7","mappings":{"default":{"default":"flecha suroriental con plumas negras pesadas"}}},{"category":"So","key":"27B8","mappings":{"default":{"default":"flecha derecha pesada con plumas negras"}}},{"category":"So","key":"27B9","mappings":{"default":{"default":"flecha del noreste con plumas negras pesadas"}}},{"category":"So","key":"27BA","mappings":{"default":{"default":"lágrima-flecha de flecha hacia la derecha"}}},{"category":"So","key":"27BB","mappings":{"default":{"default":"flecha hacia la derecha con forma de lágrima pesada"}}},{"category":"So","key":"27BC","mappings":{"default":{"default":"flecha hacia la derecha de cola de cuña"}}},{"category":"So","key":"27BD","mappings":{"default":{"default":"flecha hacia la derecha de cola de cuña pesada"}}},{"category":"So","key":"27BE","mappings":{"default":{"default":"open-Outlined Outward Arrow"}}},{"key":"27F0","mappings":{"default":{"default":"flecha cuádruple hacia arriba"}},"category":"Sm"},{"key":"27F1","mappings":{"default":{"default":"flecha cuádruple hacia abajo"}},"category":"Sm"},{"key":"27F2","mappings":{"default":{"default":"flecha hacia la izquierda desde círculo"}},"category":"Sm"},{"key":"27F3","mappings":{"default":{"default":"flecha hacia la derecha desde círculo"}},"category":"Sm"},{"key":"27F4","mappings":{"default":{"default":"flecha con más en círculo"}},"category":"Sm"},{"key":"27F5","mappings":{"default":{"default":"flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F6","mappings":{"default":{"default":"flecha larga"}},"category":"Sm"},{"key":"27F7","mappings":{"default":{"default":"flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27F8","mappings":{"default":{"default":"doble flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F9","mappings":{"default":{"default":"doble flecha larga"}},"category":"Sm"},{"key":"27FA","mappings":{"default":{"default":"doble flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27FB","mappings":{"default":{"default":"flecha larga hacia la izquierda, desde barra"}},"category":"Sm"},{"key":"27FC","mappings":{"default":{"default":"flecha larga desde barra"}},"category":"Sm"},{"key":"27FD","mappings":{"default":{"default":"doble flecha larga hacia la izquierda desde barra"}},"category":"Sm"},{"key":"27FE","mappings":{"default":{"default":"doble flecha larga desde barra"}},"category":"Sm"},{"key":"27FF","mappings":{"default":{"default":"flecha larga en zigzag"}},"category":"Sm"},{"category":"Sm","key":"2900","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con trazo vertical"}}},{"category":"Sm","key":"2901","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con doble movimiento vertical"}}},{"category":"Sm","key":"2902","mappings":{"default":{"default":"doble flecha hacia la izquierda con trazo vertical"}}},{"category":"Sm","key":"2903","mappings":{"default":{"default":"doble flecha hacia la derecha con trazo vertical"}}},{"category":"Sm","key":"2904","mappings":{"default":{"default":"izquierda Derecha Doble Flecha con Trazo Vertical"}}},{"key":"2905","mappings":{"default":{"default":"rightwards two headed arrow from bar"}},"category":"Sm"},{"category":"Sm","key":"2906","mappings":{"default":{"default":"doble flecha hacia la izquierda de la barra"}}},{"category":"Sm","key":"2907","mappings":{"default":{"default":"flecha doble hacia la derecha de la barra"}}},{"category":"Sm","key":"2908","mappings":{"default":{"default":"flecha hacia abajo con trazo horizontal"}}},{"category":"Sm","key":"2909","mappings":{"default":{"default":"flecha hacia arriba con trazo horizontal"}}},{"category":"Sm","key":"290A","mappings":{"default":{"default":"flecha triple hacia arriba"}}},{"category":"Sm","key":"290B","mappings":{"default":{"default":"triple flecha hacia abajo"}}},{"key":"290C","mappings":{"default":{"default":"leftwards double dash arrow"}},"category":"Sm"},{"key":"290D","mappings":{"default":{"default":"rightwards double dash arrow"}},"category":"Sm"},{"key":"290E","mappings":{"default":{"default":"leftwards triple dash arrow"}},"category":"Sm"},{"key":"290F","mappings":{"default":{"default":"rightwards triple dash arrow"}},"category":"Sm"},{"key":"2910","mappings":{"default":{"default":"rightwards two headed triple dash arrow"}},"category":"Sm"},{"key":"2911","mappings":{"default":{"default":"rightwards arrow with dotted stem"}},"category":"Sm"},{"key":"2912","mappings":{"default":{"default":"upwards arrow to bar"}},"category":"Sm"},{"key":"2913","mappings":{"default":{"default":"downwards arrow to bar"}},"category":"Sm"},{"category":"Sm","key":"2914","mappings":{"default":{"default":"flecha hacia la derecha con cola con trazo vertical"}}},{"category":"Sm","key":"2915","mappings":{"default":{"default":"flecha hacia la derecha con la cola con doble trazo vertical"}}},{"key":"2916","mappings":{"default":{"default":"rightwards two headed arrow with tail"}},"category":"Sm"},{"category":"Sm","key":"2917","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con cola con trazo vertical"}}},{"category":"Sm","key":"2918","mappings":{"default":{"default":"flecha de dos cabezas hacia la derecha con cola con doble movimiento vertical"}}},{"key":"2919","mappings":{"default":{"default":"cola de flecha hacia la izquierda"}},"category":"Sm"},{"category":"Sm","key":"291A","mappings":{"default":{"default":"flecha hacia la derecha"}}},{"key":"291B","mappings":{"default":{"default":"cola de doble flecha hacia la izquierda"}},"category":"Sm"},{"key":"291C","mappings":{"default":{"default":"cola de doble flecha hacia la derecha"}},"category":"Sm"},{"key":"291D","mappings":{"default":{"default":"flecha hacia diamante relleno a la izquierda"}},"category":"Sm"},{"key":"291E","mappings":{"default":{"default":"flecha hacia diamante a la derecha"}},"category":"Sm"},{"key":"291F","mappings":{"default":{"default":"flecha desde barra hacia diamante a la izquierda"}},"category":"Sm"},{"key":"2920","mappings":{"default":{"default":"flecha desde barra hacia diamante a la derecha"}},"category":"Sm"},{"category":"Sm","key":"2921","mappings":{"default":{"default":"flechas del noroeste y sureste"}}},{"category":"Sm","key":"2922","mappings":{"default":{"default":"flecha noreste y sudoeste"}}},{"key":"2923","mappings":{"default":{"default":"flecha a noroeste con garfio"}},"category":"Sm"},{"key":"2924","mappings":{"default":{"default":"flecha a nordeste con garfio"}},"category":"Sm"},{"key":"2925","mappings":{"default":{"default":"flecha a sureste con garfio"}},"category":"Sm"},{"key":"2926","mappings":{"default":{"default":"flecha a suroeste con garfio"}},"category":"Sm"},{"key":"2927","mappings":{"default":{"default":"flechas a noroeste y nordeste"}},"category":"Sm"},{"key":"2928","mappings":{"default":{"default":"flechas a nordeste y sudeste"}},"category":"Sm"},{"key":"2929","mappings":{"default":{"default":"flechas a suddeste y sudoeste"}},"category":"Sm"},{"key":"292A","mappings":{"default":{"default":"flechas a sudoeste y noroeste"}},"category":"Sm"},{"category":"Sm","key":"292D","mappings":{"default":{"default":"flecha Sureste Cruzando Flecha Noreste"}}},{"category":"Sm","key":"292E","mappings":{"default":{"default":"north East Arrow Crossing South East Arrow"}}},{"category":"Sm","key":"292F","mappings":{"default":{"default":"caída en diagonal que cruza la flecha noreste"}}},{"category":"Sm","key":"2930","mappings":{"default":{"default":"creciente Cruce de la Cruz del Sureste de la Flecha"}}},{"category":"Sm","key":"2931","mappings":{"default":{"default":"north East Arrow Crossing North West Arrow"}}},{"category":"Sm","key":"2932","mappings":{"default":{"default":"north West Arrow Crossing North East Arrow"}}},{"key":"2933","mappings":{"default":{"default":"flecha ondulada"}},"category":"Sm"},{"category":"Sm","key":"2934","mappings":{"default":{"default":"flecha que apunta hacia la derecha y luego curva hacia arriba"}}},{"key":"2935","mappings":{"default":{"default":"flecha hacia la derecha que gira hacia abajo"}},"category":"Sm"},{"key":"2936","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la izquierda"}},"category":"Sm"},{"key":"2937","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la derecha"}},"category":"Sm"},{"key":"2938","mappings":{"default":{"default":"flecha semicircular a la derecha en sentido horario"}},"category":"Sm"},{"key":"2939","mappings":{"default":{"default":"flecha semicircular a la izquierda en sentido antihorario"}},"category":"Sm"},{"category":"Sm","key":"293A","mappings":{"default":{"default":"arco superior flecha hacia la izquierda"}}},{"category":"Sm","key":"293B","mappings":{"default":{"default":"arco inferior flecha hacia la izquierda"}}},{"key":"293C","mappings":{"default":{"default":"giro negativo"}},"category":"Sm"},{"key":"293D","mappings":{"default":{"default":"giro positivo"}},"category":"Sm"},{"category":"Sm","key":"293E","mappings":{"default":{"default":"flecha hacia la derecha semicircular inferior derecha"}}},{"category":"Sm","key":"293F","mappings":{"default":{"default":"flecha inferior izquierda semicircular en sentido antihorario"}}},{"category":"Sm","key":"2940","mappings":{"default":{"default":"círculo cerrado en sentido contrario a las agujas del reloj"}}},{"category":"Sm","key":"2941","mappings":{"default":{"default":"círculo cerrado en el sentido de las agujas del reloj"}}},{"category":"Sm","key":"2942","mappings":{"default":{"default":"flecha hacia la derecha sobre la flecha corta hacia la izquierda"}}},{"category":"Sm","key":"2943","mappings":{"default":{"default":"flecha hacia la izquierda sobre la flecha corta hacia la derecha"}}},{"category":"Sm","key":"2944","mappings":{"default":{"default":"flecha corta hacia la derecha arriba flecha hacia la izquierda"}}},{"key":"2945","mappings":{"default":{"default":"flecha con más suscrito"}},"category":"Sm"},{"category":"Sm","key":"2946","mappings":{"default":{"default":"flecha hacia la izquierda con más abajo"}}},{"category":"Sm","key":"2947","mappings":{"default":{"default":"flecha hacia la derecha a través de X"}}},{"key":"2948","mappings":{"default":{"default":"flecha hacia la izquierda a través de círculo"}},"category":"Sm"},{"key":"2949","mappings":{"default":{"default":"dos cabezas de flecha hacia arriba desde círculo"}},"category":"Sm"},{"key":"2970","mappings":{"default":{"default":"round implies"}},"category":"Sm"},{"key":"2971","mappings":{"default":{"default":"flecha con igual"}},"category":"Sm"},{"key":"2972","mappings":{"default":{"default":"flecha con tilde"}},"category":"Sm"},{"key":"2973","mappings":{"default":{"default":"tilde con flecha hacia la izquierda"}},"category":"Sm"},{"key":"2974","mappings":{"default":{"default":"tilde con flecha"}},"category":"Sm"},{"key":"2975","mappings":{"default":{"default":"flecha con casi igual a"}},"category":"Sm"},{"key":"2976","mappings":{"default":{"default":"flecha hacia la izquierda con menor que"}},"category":"Sm"},{"category":"Sm","key":"2977","mappings":{"default":{"default":"flecha hacia la izquierda a través de menos de"}}},{"key":"2978","mappings":{"default":{"default":"flecha con mayor que"}},"category":"Sm"},{"key":"2979","mappings":{"default":{"default":"flecha hacia la izquierda con incluido"}},"category":"Sm"},{"category":"Sm","key":"297A","mappings":{"default":{"default":"flecha hacia la izquierda a través del subconjunto"}}},{"key":"297B","mappings":{"default":{"default":"flecha hacia la izquierda con contiene"}},"category":"Sm"},{"key":"29B3","mappings":{"default":{"default":"conjunto vacío con flecha"}},"category":"Sm"},{"key":"29B4","mappings":{"default":{"default":"conjunto vacío con flecha inversa"}},"category":"Sm"},{"category":"Sm","key":"29BD","mappings":{"default":{"default":"flecha arriba a través del círculo"}}},{"category":"Sm","key":"29EA","mappings":{"default":{"default":"diamante negro con flecha hacia abajo"}}},{"category":"Sm","key":"29EC","mappings":{"default":{"default":"círculo blanco con flecha hacia abajo"}}},{"category":"Sm","key":"29ED","mappings":{"default":{"default":"círculo negro con flecha hacia abajo"}}},{"key":"2A17","mappings":{"default":{"default":"integral con flecha hacia la izquierda con garfio"}},"category":"Sm"},{"category":"So","key":"2B00","mappings":{"default":{"default":"flecha blanca del noreste"}}},{"category":"So","key":"2B01","mappings":{"default":{"default":"flecha blanca del noroeste"}}},{"category":"So","key":"2B02","mappings":{"default":{"default":"flecha blanca del sureste"}}},{"category":"So","key":"2B03","mappings":{"default":{"default":"sudoeste flecha blanca"}}},{"category":"So","key":"2B04","mappings":{"default":{"default":"izquierda derecha flecha blanca"}}},{"category":"So","key":"2B05","mappings":{"default":{"default":"flecha negra hacia la izquierda"}}},{"category":"So","key":"2B06","mappings":{"default":{"default":"flecha negra hacia arriba"}}},{"category":"So","key":"2B07","mappings":{"default":{"default":"flecha negra hacia abajo"}}},{"category":"So","key":"2B08","mappings":{"default":{"default":"flecha negra del noreste"}}},{"category":"So","key":"2B09","mappings":{"default":{"default":"flecha negra del noroeste"}}},{"category":"So","key":"2B0A","mappings":{"default":{"default":"flecha negra sur este"}}},{"category":"So","key":"2B0B","mappings":{"default":{"default":"sudoeste flecha negra"}}},{"category":"So","key":"2B0C","mappings":{"default":{"default":"izquierda derecha flecha negra"}}},{"category":"So","key":"2B0D","mappings":{"default":{"default":"arriba abajo flecha negra"}}},{"category":"So","key":"2B0E","mappings":{"default":{"default":"flecha hacia la derecha con la punta hacia abajo"}}},{"category":"So","key":"2B0F","mappings":{"default":{"default":"flecha hacia la derecha con la punta hacia arriba"}}},{"category":"So","key":"2B10","mappings":{"default":{"default":"flecha hacia la izquierda con la punta hacia abajo"}}},{"category":"So","key":"2B11","mappings":{"default":{"default":"flecha hacia la izquierda con la punta hacia arriba"}}},{"category":"Sm","key":"2B30","mappings":{"default":{"default":"flecha izquierda con círculo pequeño"}}},{"category":"Sm","key":"2B31","mappings":{"default":{"default":"tres flechas a la izquierda"}}},{"category":"Sm","key":"2B32","mappings":{"default":{"default":"flecha izquierda con un círculo más"}}},{"category":"Sm","key":"2B33","mappings":{"default":{"default":"flecha de flecha larga hacia la izquierda"}}},{"category":"Sm","key":"2B34","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con trazo vertical"}}},{"category":"Sm","key":"2B35","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con doble movimiento vertical"}}},{"category":"Sm","key":"2B36","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda de la barra"}}},{"category":"Sm","key":"2B37","mappings":{"default":{"default":"flecha triple de dos cabezas hacia la izquierda"}}},{"category":"Sm","key":"2B38","mappings":{"default":{"default":"flecha hacia la izquierda con tallo punteado"}}},{"category":"Sm","key":"2B39","mappings":{"default":{"default":"flecha hacia la izquierda con cola con trazo vertical"}}},{"category":"Sm","key":"2B3A","mappings":{"default":{"default":"flecha hacia la izquierda con cola con doble trazo vertical"}}},{"category":"Sm","key":"2B3B","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con cola"}}},{"category":"Sm","key":"2B3C","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con cola con trazo vertical"}}},{"category":"Sm","key":"2B3D","mappings":{"default":{"default":"flecha de dos cabezas hacia la izquierda con cola con doble movimiento vertical"}}},{"category":"Sm","key":"2B3E","mappings":{"default":{"default":"flecha hacia la izquierda a través de X"}}},{"category":"Sm","key":"2B3F","mappings":{"default":{"default":"ola flecha apuntando directamente a la izquierda"}}},{"category":"Sm","key":"2B40","mappings":{"default":{"default":"signo de igual flecha arriba a la izquierda"}}},{"category":"Sm","key":"2B41","mappings":{"default":{"default":"operador de tilde inverso sobre la flecha hacia la izquierda"}}},{"category":"Sm","key":"2B42","mappings":{"default":{"default":"flecha hacia la izquierda sobre el reverso casi igual a"}}},{"category":"Sm","key":"2B43","mappings":{"default":{"default":"flecha hacia la derecha a través de mayor-que"}}},{"category":"Sm","key":"2B44","mappings":{"default":{"default":"flecha hacia la derecha a través de Superset"}}},{"category":"So","key":"2B45","mappings":{"default":{"default":"flecha cuádruple hacia la izquierda"}}},{"category":"So","key":"2B46","mappings":{"default":{"default":"flecha cuádruple hacia la derecha"}}},{"category":"Sm","key":"2B47","mappings":{"default":{"default":"operador de tilde inverso sobre la flecha hacia la derecha"}}},{"category":"Sm","key":"2B48","mappings":{"default":{"default":"flecha hacia la derecha sobre el reverso casi igual a"}}},{"category":"Sm","key":"2B49","mappings":{"default":{"default":"operador de tilde sobre la flecha hacia la izquierda"}}},{"category":"Sm","key":"2B4A","mappings":{"default":{"default":"flecha hacia la izquierda por encima de casi igual a"}}},{"category":"Sm","key":"2B4B","mappings":{"default":{"default":"flecha hacia la izquierda sobre el operador de tilde inverso"}}},{"category":"Sm","key":"2B4C","mappings":{"default":{"default":"flecha hacia la derecha sobre el operador de tilde inverso"}}},{"category":"Sm","key":"FFE9","mappings":{"default":{"default":"flecha hacia la izquierda de medio ancho"}}},{"category":"Sm","key":"FFEA","mappings":{"default":{"default":"flecha ascendente de medio ancho"}}},{"category":"Sm","key":"FFEB","mappings":{"default":{"default":"flecha de medio ancho hacia la derecha"}}},{"category":"Sm","key":"FFEC","mappings":{"default":{"default":"flecha hacia abajo de medio ancho"}}}]
 ,
-"es/latin-mathfonts-bold-script.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula A"}},"key":"1D4D0"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula B"}},"key":"1D4D1"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula C"}},"key":"1D4D2"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula D"}},"key":"1D4D3"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula E"}},"key":"1D4D4"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula F"}},"key":"1D4D5"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula G"}},"key":"1D4D6"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula H"}},"key":"1D4D7"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula I"}},"key":"1D4D8"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula J"}},"key":"1D4D9"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula K"}},"key":"1D4DA"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula L"}},"key":"1D4DB"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula M"}},"key":"1D4DC"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula N"}},"key":"1D4DD"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula O"}},"key":"1D4DE"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula P"}},"key":"1D4DF"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula Q"}},"key":"1D4E0"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula R"}},"key":"1D4E1"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula S"}},"key":"1D4E2"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula T"}},"key":"1D4E3"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula U"}},"key":"1D4E4"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula V"}},"key":"1D4E5"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula W"}},"key":"1D4E6"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula X"}},"key":"1D4E7"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula Y"}},"key":"1D4E8"},{"category":"Lu","mappings":{"default":{"default":"negrita script mayúscula Z"}},"key":"1D4E9"},{"category":"Ll","mappings":{"default":{"default":"negrita script a"}},"key":"1D4EA"},{"category":"Ll","mappings":{"default":{"default":"negrita script b"}},"key":"1D4EB"},{"category":"Ll","mappings":{"default":{"default":"negrita script c"}},"key":"1D4EC"},{"category":"Ll","mappings":{"default":{"default":"negrita script d"}},"key":"1D4ED"},{"category":"Ll","mappings":{"default":{"default":"negrita script e"}},"key":"1D4EE"},{"category":"Ll","mappings":{"default":{"default":"negrita script f"}},"key":"1D4EF"},{"category":"Ll","mappings":{"default":{"default":"negrita script g"}},"key":"1D4F0"},{"category":"Ll","mappings":{"default":{"default":"negrita script h"}},"key":"1D4F1"},{"category":"Ll","mappings":{"default":{"default":"negrita script i"}},"key":"1D4F2"},{"category":"Ll","mappings":{"default":{"default":"negrita script j"}},"key":"1D4F3"},{"category":"Ll","mappings":{"default":{"default":"negrita script k"}},"key":"1D4F4"},{"category":"Ll","mappings":{"default":{"default":"negrita script l"}},"key":"1D4F5"},{"category":"Ll","mappings":{"default":{"default":"negrita script m"}},"key":"1D4F6"},{"category":"Ll","mappings":{"default":{"default":"negrita script n"}},"key":"1D4F7"},{"category":"Ll","mappings":{"default":{"default":"negrita script o"}},"key":"1D4F8"},{"category":"Ll","mappings":{"default":{"default":"negrita script p"}},"key":"1D4F9"},{"category":"Ll","mappings":{"default":{"default":"negrita script q"}},"key":"1D4FA"},{"category":"Ll","mappings":{"default":{"default":"negrita script r"}},"key":"1D4FB"},{"category":"Ll","mappings":{"default":{"default":"negrita script s"}},"key":"1D4FC"},{"category":"Ll","mappings":{"default":{"default":"negrita script t"}},"key":"1D4FD"},{"category":"Ll","mappings":{"default":{"default":"negrita script u"}},"key":"1D4FE"},{"category":"Ll","mappings":{"default":{"default":"negrita script v"}},"key":"1D4FF"},{"category":"Ll","mappings":{"default":{"default":"negrita script w"}},"key":"1D500"},{"category":"Ll","mappings":{"default":{"default":"negrita script x"}},"key":"1D501"},{"category":"Ll","mappings":{"default":{"default":"negrita script y"}},"key":"1D502"},{"category":"Ll","mappings":{"default":{"default":"negrita script z"}},"key":"1D503"}]
+"es/symbols/math_characters.js": 
+[{"locale":"es"},{"key":"2113","mappings":{"default":{"default":"script l"}},"category":"Ll"},{"key":"2118","mappings":{"default":{"default":"p de weierstrass"}},"category":"Sm"},{"category":"Ll","key":"213C","mappings":{"default":{"default":"negrita de pizarra pi"}}},{"category":"Ll","key":"213D","mappings":{"default":{"default":"negrita de pizarra gamma"}}},{"category":"Lu","key":"213E","mappings":{"default":{"default":"negrita de pizarra mayúscula Gamma"}}},{"category":"Lu","key":"213F","mappings":{"default":{"default":"negrita de pizarra mayúscula Pi"}}},{"category":"Sm","key":"2140","mappings":{"default":{"default":"negrita de pizarra suma de n-ary"}}},{"key":"2145","mappings":{"default":{"default":"mayúscula D"}},"category":"Lu"},{"key":"2146","mappings":{"default":{"default":"d"}},"category":"Ll"},{"key":"2147","mappings":{"default":{"default":"e"}},"category":"Ll"},{"key":"2148","mappings":{"default":{"default":"i"}},"category":"Ll"},{"category":"Ll","key":"2149","mappings":{"default":{"default":"negrita de pizarra cursiva j"}}},{"category":"Ll","mappings":{"default":{"default":"cursiva sin punto i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"cursiva sin punto j"}},"key":"1D6A5"}]
 ,
-"es/latin-mathfonts-bold.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula A"}},"key":"1D400"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula B"}},"key":"1D401"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula C"}},"key":"1D402"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula D"}},"key":"1D403"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula E"}},"key":"1D404"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula F"}},"key":"1D405"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula G"}},"key":"1D406"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula H"}},"key":"1D407"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula I"}},"key":"1D408"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula J"}},"key":"1D409"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula K"}},"key":"1D40A"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula L"}},"key":"1D40B"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula M"}},"key":"1D40C"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula N"}},"key":"1D40D"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula O"}},"key":"1D40E"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula P"}},"key":"1D40F"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Q"}},"key":"1D410"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula R"}},"key":"1D411"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula S"}},"key":"1D412"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula T"}},"key":"1D413"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula U"}},"key":"1D414"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula V"}},"key":"1D415"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula W"}},"key":"1D416"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula X"}},"key":"1D417"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Y"}},"key":"1D418"},{"category":"Lu","mappings":{"default":{"default":"negrita mayúscula Z"}},"key":"1D419"},{"category":"Ll","mappings":{"default":{"default":"negrita a"}},"key":"1D41A"},{"category":"Ll","mappings":{"default":{"default":"negrita b"}},"key":"1D41B"},{"category":"Ll","mappings":{"default":{"default":"negrita c"}},"key":"1D41C"},{"category":"Ll","mappings":{"default":{"default":"negrita d"}},"key":"1D41D"},{"category":"Ll","mappings":{"default":{"default":"negrita e"}},"key":"1D41E"},{"category":"Ll","mappings":{"default":{"default":"negrita f"}},"key":"1D41F"},{"category":"Ll","mappings":{"default":{"default":"negrita g"}},"key":"1D420"},{"category":"Ll","mappings":{"default":{"default":"negrita h"}},"key":"1D421"},{"category":"Ll","mappings":{"default":{"default":"negrita i"}},"key":"1D422"},{"category":"Ll","mappings":{"default":{"default":"negrita j"}},"key":"1D423"},{"category":"Ll","mappings":{"default":{"default":"negrita k"}},"key":"1D424"},{"category":"Ll","mappings":{"default":{"default":"negrita l"}},"key":"1D425"},{"category":"Ll","mappings":{"default":{"default":"negrita m"}},"key":"1D426"},{"category":"Ll","mappings":{"default":{"default":"negrita n"}},"key":"1D427"},{"category":"Ll","mappings":{"default":{"default":"negrita o"}},"key":"1D428"},{"category":"Ll","mappings":{"default":{"default":"negrita p"}},"key":"1D429"},{"category":"Ll","mappings":{"default":{"default":"negrita q"}},"key":"1D42A"},{"category":"Ll","mappings":{"default":{"default":"negrita r"}},"key":"1D42B"},{"category":"Ll","mappings":{"default":{"default":"negrita s"}},"key":"1D42C"},{"category":"Ll","mappings":{"default":{"default":"negrita t"}},"key":"1D42D"},{"category":"Ll","mappings":{"default":{"default":"negrita u"}},"key":"1D42E"},{"category":"Ll","mappings":{"default":{"default":"negrita v"}},"key":"1D42F"},{"category":"Ll","mappings":{"default":{"default":"negrita w"}},"key":"1D430"},{"category":"Ll","mappings":{"default":{"default":"negrita x"}},"key":"1D431"},{"category":"Ll","mappings":{"default":{"default":"negrita y"}},"key":"1D432"},{"category":"Ll","mappings":{"default":{"default":"negrita z"}},"key":"1D433"}]
+"es/symbols/math_delimiters.js": 
+[{"locale":"es"},{"key":"0028","mappings":{"default":{"default":"paréntesis izquierdo","defaultMP":"paréntesis"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"paréntesis derecho","defaultMP":"cierra paréntesis"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"corchete izquierdo","defaultMP":"abre corchetes"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"corchete derecho","defaultMP":"cierra corchetes"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"llave izquierda","defaultMP":"abre llaves"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"llaves derecha","defaultMP":"cierra llaves"}},"category":"Pe"},{"category":"Ps","key":"2045","mappings":{"default":{"default":"soporte cuadrado izquierdo con pluma"}}},{"category":"Pe","key":"2046","mappings":{"default":{"default":"soporte cuadrado derecho con pluma"}}},{"key":"2308","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"Sm"},{"key":"2309","mappings":{"default":{"default":"esquina superior derecha"}},"category":"Sm"},{"key":"230A","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"Sm"},{"key":"230B","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"Sm"},{"key":"230C","mappings":{"default":{"default":"corte inferior derecho"}},"category":"So"},{"key":"230D","mappings":{"default":{"default":"corte inferior izquierdo"}},"category":"So"},{"key":"230E","mappings":{"default":{"default":"corte superior derecho "}},"category":"So"},{"key":"230F","mappings":{"default":{"default":"corte superior izquierdo"}},"category":"So"},{"key":"231C","mappings":{"default":{"default":"ángulo superior izquierdo"}},"category":"So"},{"key":"231D","mappings":{"default":{"default":"ángulo superior derecho"}},"category":"So"},{"key":"231E","mappings":{"default":{"default":"ángulo inferior izquierdo"}},"category":"So"},{"key":"231F","mappings":{"default":{"default":"ángulo inferior derecho"}},"category":"So"},{"key":"2320","mappings":{"default":{"default":"mitad superior de integral"}},"category":"Sm"},{"key":"2321","mappings":{"default":{"default":"mitad inferior de integral"}},"category":"Sm"},{"key":"2329","mappings":{"default":{"default":"paréntesis angular izquierdo"}},"category":"Ps"},{"key":"232A","mappings":{"default":{"default":"paréntesis angular derecho"}},"category":"Pe"},{"category":"Sm","key":"239B","mappings":{"default":{"default":"paréntesis izquierdo gancho superior"}}},{"category":"Sm","key":"239C","mappings":{"default":{"default":"extensión del paréntesis izquierdo"}}},{"category":"Sm","key":"239D","mappings":{"default":{"default":"paréntesis inferior gancho inferior"}}},{"category":"Sm","key":"239E","mappings":{"default":{"default":"paréntesis derecho gancho superior"}}},{"category":"Sm","key":"239F","mappings":{"default":{"default":"extensión del paréntesis derecho"}}},{"category":"Sm","key":"23A0","mappings":{"default":{"default":"paréntesis inferior gancho inferior"}}},{"category":"Sm","key":"23A1","mappings":{"default":{"default":"esquina cuadrada izquierda esquina superior"}}},{"category":"Sm","key":"23A2","mappings":{"default":{"default":"extensión del soporte cuadrado izquierdo"}}},{"category":"Sm","key":"23A3","mappings":{"default":{"default":"esquina cuadrada izquierda esquina inferior"}}},{"category":"Sm","key":"23A4","mappings":{"default":{"default":"esquina cuadrada derecha esquina superior"}}},{"category":"Sm","key":"23A5","mappings":{"default":{"default":"extensión de soporte cuadrado derecho"}}},{"category":"Sm","key":"23A6","mappings":{"default":{"default":"esquina cuadrada derecha esquina inferior"}}},{"category":"Sm","key":"23A7","mappings":{"default":{"default":"gancho superior rizado izquierdo"}}},{"category":"Sm","key":"23A8","mappings":{"default":{"default":"pedazo medio rizado izquierdo"}}},{"category":"Sm","key":"23A9","mappings":{"default":{"default":"soporte izquierdo rizado gancho inferior"}}},{"category":"Sm","key":"23AA","mappings":{"default":{"default":"extensión de soporte rizado"}}},{"category":"Sm","key":"23AB","mappings":{"default":{"default":"gancho superior rizado derecho"}}},{"category":"Sm","key":"23AC","mappings":{"default":{"default":"pedazo medio de soporte rizado derecho"}}},{"category":"Sm","key":"23AD","mappings":{"default":{"default":"abrazadera inferior derecha rizado"}}},{"category":"Sm","key":"23AE","mappings":{"default":{"default":"extensión integral"}}},{"category":"Sm","key":"23AF","mappings":{"default":{"default":"extensión de línea horizontal"}}},{"key":"23B0","mappings":{"default":{"default":"izquierda arriba o derecho debajo sección llave"}},"category":"Sm"},{"key":"23B1","mappings":{"default":{"default":"derecha arriba o izquierdo debajo sección llave"}},"category":"Sm"},{"category":"Sm","key":"23B2","mappings":{"default":{"default":"suma superior"}}},{"category":"Sm","key":"23B3","mappings":{"default":{"default":"parte inferior de la suma"}}},{"key":"23B4","mappings":{"default":{"default":"corchete superior"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"corchete inferior"}},"category":"So"},{"category":"So","key":"23B6","mappings":{"default":{"default":"soporte cuadrado inferior sobre soporte cuadrado superior"}}},{"category":"So","key":"23B7","mappings":{"default":{"default":"parte inferior del símbolo radical"}}},{"category":"So","key":"23B8","mappings":{"default":{"default":"línea de caja vertical izquierda"}}},{"category":"So","key":"23B9","mappings":{"default":{"default":"línea de caja vertical derecha"}}},{"key":"23DC","mappings":{"default":{"default":"paréntesis superior"}},"category":"Sm"},{"key":"23DD","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Sm"},{"key":"23DE","mappings":{"default":{"default":"corchete rizado superior"}},"category":"Sm"},{"key":"23DF","mappings":{"default":{"default":"corchete rizado inferior"}},"category":"Sm"},{"key":"23E0","mappings":{"default":{"default":"corchete superior en tortuga"}},"category":"Sm"},{"key":"23E1","mappings":{"default":{"default":"corchete inferior en tortuga"}},"category":"Sm"},{"category":"Ps","key":"2768","mappings":{"default":{"default":"ornamento de paréntesis izquierdo medio"}}},{"category":"Pe","key":"2769","mappings":{"default":{"default":"adorno de paréntesis medio derecho"}}},{"category":"Ps","key":"276A","mappings":{"default":{"default":"adorno paréntesis izquierdo aplanado medio"}}},{"category":"Pe","key":"276B","mappings":{"default":{"default":"adorno paréntesis derecho medio aplanado"}}},{"category":"Ps","key":"276C","mappings":{"default":{"default":"adorno de soporte de ángulo medio apuntando hacia la izquierda"}}},{"category":"Pe","key":"276D","mappings":{"default":{"default":"adorno de soporte de ángulo medio apuntando hacia la derecha"}}},{"category":"Ps","key":"276E","mappings":{"default":{"default":"ornamento de comillas en el ángulo que apunta hacia la izquierda"}}},{"category":"Pe","key":"276F","mappings":{"default":{"default":"ornamento de comillas en ángulo recto que apunta hacia la derecha"}}},{"category":"Ps","key":"2770","mappings":{"default":{"default":"ornamento pesado del soporte del ángulo que señala a la izquierda"}}},{"category":"Pe","key":"2771","mappings":{"default":{"default":"ornamento pesado del soporte del ángulo que señala hacia la derecha"}}},{"category":"Ps","key":"2772","mappings":{"default":{"default":"ornamento de soporte de concha de tortuga izquierda ligera"}}},{"category":"Pe","key":"2773","mappings":{"default":{"default":"ornamento de corchete derecho tortuga derecha"}}},{"category":"Ps","key":"2774","mappings":{"default":{"default":"ornamento de soporte rizado izquierdo medio"}}},{"category":"Pe","key":"2775","mappings":{"default":{"default":"ornamento de soporte rizado derecho medio"}}},{"key":"27C5","mappings":{"default":{"default":"símbolo delimitador izquierdo de bolsa de s-formó"}},"category":"Ps"},{"key":"27C6","mappings":{"default":{"default":"símbolo delimitador derecho de bolsa de s-formó"}},"category":"Pe"},{"key":"27E6","mappings":{"default":{"default":"corchete vacío izquierdo"}},"category":"Ps"},{"key":"27E7","mappings":{"default":{"default":"corchete vacío derecho"}},"category":"Pe"},{"key":"27E8","mappings":{"default":{"default":"corchete agudo izquierdo"}},"category":"Ps"},{"key":"27E9","mappings":{"default":{"default":"corchete agudo derecho"}},"category":"Pe"},{"key":"27EA","mappings":{"default":{"default":"doble corchete agudo izquierdo"}},"category":"Ps"},{"key":"27EB","mappings":{"default":{"default":"doble corchete agudo derecho"}},"category":"Pe"},{"key":"27EC","mappings":{"default":{"default":"corchete de tortuga vacío izquierdo"}},"category":"Ps"},{"key":"27ED","mappings":{"default":{"default":"corchete de tortuga vacío derecho "}},"category":"Pe"},{"key":"27EE","mappings":{"default":{"default":"paréntesis plano izquierdo"}},"category":"Ps"},{"key":"27EF","mappings":{"default":{"default":"paréntesis plano derecho"}},"category":"Pe"},{"category":"Ps","key":"2983","mappings":{"default":{"default":"soporte rizado blanco izquierdo"}}},{"category":"Pe","key":"2984","mappings":{"default":{"default":"derecha rizado blanco soporte"}}},{"key":"2985","mappings":{"default":{"default":"left white paren"}},"category":"Ps"},{"key":"2986","mappings":{"default":{"default":"right white paren"}},"category":"Pe"},{"category":"Ps","key":"2987","mappings":{"default":{"default":"notación Z izquierda soporte de imagen"}}},{"category":"Pe","key":"2988","mappings":{"default":{"default":"corchete de imagen derecha de notación Z"}}},{"key":"2989","mappings":{"default":{"default":"z notation left binding bracket"}},"category":"Ps"},{"key":"298A","mappings":{"default":{"default":"z notation right binding bracket"}},"category":"Pe"},{"key":"298B","mappings":{"default":{"default":"left bracket with underbar"}},"category":"Ps"},{"key":"298C","mappings":{"default":{"default":"right bracket with underbar"}},"category":"Pe"},{"key":"298D","mappings":{"default":{"default":"left bracket with tick in top corner"}},"category":"Ps"},{"key":"298E","mappings":{"default":{"default":"right bracket with tick in bottom corner"}},"category":"Pe"},{"key":"298F","mappings":{"default":{"default":"left bracket with tick in bottom corner"}},"category":"Ps"},{"key":"2990","mappings":{"default":{"default":"right bracket with tick in top corner"}},"category":"Pe"},{"key":"2991","mappings":{"default":{"default":"left angle bracket with dot"}},"category":"Ps"},{"key":"2992","mappings":{"default":{"default":"right angle bracket with dot"}},"category":"Pe"},{"key":"2993","mappings":{"default":{"default":"left arc less than bracket"}},"category":"Ps"},{"key":"2994","mappings":{"default":{"default":"right arc greater than bracket"}},"category":"Pe"},{"key":"2995","mappings":{"default":{"default":"double left arc greater than bracket"}},"category":"Ps"},{"key":"2996","mappings":{"default":{"default":"double right arc less than bracket"}},"category":"Pe"},{"category":"Ps","key":"2997","mappings":{"default":{"default":"soporte de concha de tortuga negra izquierda"}}},{"category":"Pe","key":"2998","mappings":{"default":{"default":"abrazadera de concha de tortuga negra derecha"}}},{"category":"Ps","key":"29D8","mappings":{"default":{"default":"valla izquierda ondulada"}}},{"category":"Pe","key":"29D9","mappings":{"default":{"default":"valla derecha ondulada"}}},{"key":"29DA","mappings":{"default":{"default":"left double wiggly fence"}},"category":"Ps"},{"key":"29DB","mappings":{"default":{"default":"right double wiggly fence"}},"category":"Pe"},{"category":"Ps","key":"29FC","mappings":{"default":{"default":"abrazadera de ángulo curvo a la izquierda"}}},{"category":"Pe","key":"29FD","mappings":{"default":{"default":"abrazadera de ángulo curvo orientada hacia la derecha"}}},{"category":"Ps","key":"2E22","mappings":{"default":{"default":"soporte superior izquierdo superior"}}},{"category":"Pe","key":"2E23","mappings":{"default":{"default":"medio soporte superior derecho"}}},{"category":"Ps","key":"2E24","mappings":{"default":{"default":"abrazadera inferior izquierda"}}},{"category":"Pe","key":"2E25","mappings":{"default":{"default":"medio soporte inferior derecho"}}},{"category":"Ps","key":"2E26","mappings":{"default":{"default":"soporte U lateral izquierdo"}}},{"category":"Pe","key":"2E27","mappings":{"default":{"default":"lado derecho U soporte"}}},{"category":"Ps","key":"2E28","mappings":{"default":{"default":"doble paréntesis izquierdo"}}},{"category":"Pe","key":"2E29","mappings":{"default":{"default":"paréntesis doble derecho"}}},{"category":"Ps","key":"3008","mappings":{"default":{"default":"soporte de ángulo izquierdo"}}},{"category":"Pe","key":"3009","mappings":{"default":{"default":"soporte de ángulo recto"}}},{"key":"300A","mappings":{"default":{"default":"paréntesis angular doble"}},"category":"Ps"},{"key":"300B","mappings":{"default":{"default":"paréntesis angular doble derecho","defaultMP":"cierra paréntesis angular doble"}},"category":"Pe"},{"category":"Ps","key":"300C","mappings":{"default":{"default":"soporte de la esquina izquierda"}}},{"category":"Pe","key":"300D","mappings":{"default":{"default":"soporte de esquina derecha"}}},{"category":"Ps","key":"300E","mappings":{"default":{"default":"soporte de esquina blanco izquierdo"}}},{"category":"Pe","key":"300F","mappings":{"default":{"default":"soporte de esquina blanco derecho"}}},{"category":"Ps","key":"3010","mappings":{"default":{"default":"soporte Lenticular Izquierdo Negro"}}},{"category":"Pe","key":"3011","mappings":{"default":{"default":"soporte Lenticular Negro Derecho"}}},{"key":"3014","mappings":{"default":{"default":"left tortoise shell bracket"}},"category":"Ps"},{"key":"3015","mappings":{"default":{"default":"right tortoise shell bracket"}},"category":"Pe"},{"category":"Ps","key":"3016","mappings":{"default":{"default":"soporte lenticular blanco izquierdo"}}},{"category":"Pe","key":"3017","mappings":{"default":{"default":"soporte lenticular blanco derecho"}}},{"category":"Ps","key":"3018","mappings":{"default":{"default":"soporte de caparazón de tortuga blanca izquierda"}}},{"category":"Pe","key":"3019","mappings":{"default":{"default":"soporte de concha de tortuga blanca derecha"}}},{"key":"301A","mappings":{"default":{"default":"corchete vacío"}},"category":"Ps"},{"key":"301B","mappings":{"default":{"default":"corchete vacío derecho","defaultMP":"cierra corchete vacío"}},"category":"Pe"},{"category":"Ps","key":"301D","mappings":{"default":{"default":"comilla doble invertida"}}},{"key":"301E","mappings":{"default":{"default":"segunda"}},"category":"Pe"},{"category":"Pe","key":"301F","mappings":{"default":{"default":"comillas bajas dobles"}}},{"category":"Ps","key":"FD3E","mappings":{"default":{"default":"paréntesis izquierdo adornado"}}},{"category":"Pe","key":"FD3F","mappings":{"default":{"default":"paréntesis derecho adornado"}}},{"category":"Ps","key":"FE17","mappings":{"default":{"default":"formulario de presentación para soporte lenticular blanco izquierdo vertical"}}},{"category":"Pe","key":"FE18","mappings":{"default":{"default":"formulario de presentación para soporte lenticular blanco vertical derecho"}}},{"key":"FE35","mappings":{"default":{"default":"paréntesis superior"}},"category":"Ps"},{"key":"FE36","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Pe"},{"key":"FE37","mappings":{"default":{"default":"llave superior"}},"category":"Ps"},{"key":"FE38","mappings":{"default":{"default":"llave inferior"}},"category":"Pe"},{"category":"Ps","key":"FE39","mappings":{"default":{"default":"formulario de presentación para el soporte vertical de concha de tortuga izquierda"}}},{"category":"Pe","key":"FE3A","mappings":{"default":{"default":"formulario de presentación para el soporte vertical de concha de tortuga derecha"}}},{"category":"Ps","key":"FE3B","mappings":{"default":{"default":"formulario de presentación para el soporte lenticular negro izquierdo vertical"}}},{"category":"Pe","key":"FE3C","mappings":{"default":{"default":"formulario de presentación para el soporte lenticular negro derecho vertical"}}},{"category":"Ps","key":"FE3D","mappings":{"default":{"default":"formulario de presentación para soporte vertical doble ángulo izquierdo"}}},{"category":"Pe","key":"FE3E","mappings":{"default":{"default":"formulario de presentación para el soporte de ángulo recto doble vertical"}}},{"key":"FE3F","mappings":{"default":{"default":"paréntesis angular superior"}},"category":"Ps"},{"key":"FE40","mappings":{"default":{"default":"paréntesis angular inferior"}},"category":"Pe"},{"category":"Ps","key":"FE41","mappings":{"default":{"default":"formulario de presentación para soporte de esquina vertical izquierda"}}},{"category":"Pe","key":"FE42","mappings":{"default":{"default":"formulario de presentación para soporte de esquina vertical derecha"}}},{"category":"Ps","key":"FE43","mappings":{"default":{"default":"formulario de presentación para soporte de esquina blanco vertical izquierdo"}}},{"category":"Pe","key":"FE44","mappings":{"default":{"default":"formulario de presentación para soporte de esquina vertical derecha blanca"}}},{"category":"Ps","key":"FE47","mappings":{"default":{"default":"formulario de presentación para soporte cuadrado vertical izquierdo"}}},{"category":"Pe","key":"FE48","mappings":{"default":{"default":"formulario de presentación para soporte cuadrado vertical derecho"}}},{"category":"Ps","key":"FE59","mappings":{"default":{"default":"pequeño paréntesis izquierdo"}}},{"category":"Pe","key":"FE5A","mappings":{"default":{"default":"paréntesis derecho pequeño"}}},{"category":"Ps","key":"FE5B","mappings":{"default":{"default":"corchete Rizado Izquierdo Pequeño"}}},{"category":"Pe","key":"FE5C","mappings":{"default":{"default":"corchete derecho rizado pequeño"}}},{"category":"Ps","key":"FE5D","mappings":{"default":{"default":"soporte de concha pequeña tortuga izquierda"}}},{"category":"Pe","key":"FE5E","mappings":{"default":{"default":"pequeño corchete derecho de concha de tortuga"}}},{"category":"Ps","key":"FF08","mappings":{"default":{"default":"paréntesis izquierdo de ancho completo"}}},{"category":"Pe","key":"FF09","mappings":{"default":{"default":"paréntesis derecho de ancho completo"}}},{"category":"Ps","key":"FF3B","mappings":{"default":{"default":"soporte cuadrado izquierdo de ancho completo"}}},{"category":"Pe","key":"FF3D","mappings":{"default":{"default":"soporte cuadrado derecho de ancho completo"}}},{"category":"Ps","key":"FF5B","mappings":{"default":{"default":"corchete rizado izquierdo de ancho completo"}}},{"category":"Pe","key":"FF5D","mappings":{"default":{"default":"corchete derecho de ancho completo"}}},{"category":"Ps","key":"FF5F","mappings":{"default":{"default":"paréntesis blanco izquierdo de ancho completo"}}},{"category":"Pe","key":"FF60","mappings":{"default":{"default":"paréntesis blanco derecho de ancho completo"}}},{"category":"Ps","key":"FF62","mappings":{"default":{"default":"corchete de esquina izquierda de medio ancho"}}},{"category":"Pe","key":"FF63","mappings":{"default":{"default":"soporte de esquina derecha de medio ancho"}}}]
 ,
-"es/latin-mathfonts-double-struck.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula A"}},"key":"1D538"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula B"}},"key":"1D539"},{"key":"2102","mappings":{"default":{"default":"negrita de pizarra mayúscula C"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula D"}},"key":"1D53B"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula E"}},"key":"1D53C"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula F"}},"key":"1D53D"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula G"}},"key":"1D53E"},{"key":"210D","mappings":{"default":{"default":"negrita de pizarra mayúscula H"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula I"}},"key":"1D540"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula J"}},"key":"1D541"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula K"}},"key":"1D542"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula L"}},"key":"1D543"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula M"}},"key":"1D544"},{"key":"2115","mappings":{"default":{"default":"negrita de pizarra mayúscula N"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula O"}},"key":"1D546"},{"key":"2119","mappings":{"default":{"default":"negrita de pizarra mayúscula P"}},"category":"Lu"},{"key":"211A","mappings":{"default":{"default":"negrita de pizarra mayúscula Q"}},"category":"Lu"},{"key":"211D","mappings":{"default":{"default":"negrita de pizarra mayúscula R","defaultMP":"R mayúscula negrita"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula S"}},"key":"1D54A"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula T"}},"key":"1D54B"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula U"}},"key":"1D54C"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula V"}},"key":"1D54D"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula W"}},"key":"1D54E"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula X"}},"key":"1D54F"},{"category":"Lu","mappings":{"default":{"default":"negrita de pizarra mayúscula Y"}},"key":"1D550"},{"key":"2124","mappings":{"default":{"default":"negrita de pizarra mayúscula Z"}},"category":"Lu"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra a"}},"key":"1D552"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra b"}},"key":"1D553"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra c"}},"key":"1D554"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra d"}},"key":"1D555"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra e"}},"key":"1D556"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra f"}},"key":"1D557"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra g"}},"key":"1D558"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra h"}},"key":"1D559"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra i"}},"key":"1D55A"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra j"}},"key":"1D55B"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra k"}},"key":"1D55C"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra l"}},"key":"1D55D"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra m"}},"key":"1D55E"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra n"}},"key":"1D55F"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra o"}},"key":"1D560"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra p"}},"key":"1D561"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra q"}},"key":"1D562"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra r"}},"key":"1D563"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra s"}},"key":"1D564"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra t"}},"key":"1D565"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra u"}},"key":"1D566"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra v"}},"key":"1D567"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra w"}},"key":"1D568"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra x"}},"key":"1D569"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra y"}},"key":"1D56A"},{"category":"Ll","mappings":{"default":{"default":"negrita de pizarra z"}},"key":"1D56B"}]
+"es/symbols/math_geometry.js": 
+[{"locale":"es"},{"key":"2500","mappings":{"default":{"default":"delimitador horizontal"}},"category":"So"},{"category":"So","key":"2501","mappings":{"default":{"default":"dibujos de cajas pesadas horizontales"}}},{"key":"2502","mappings":{"default":{"default":"delimitador vertical"}},"category":"So"},{"category":"So","key":"2503","mappings":{"default":{"default":"dibujos de cajas Pesado Vertical"}}},{"category":"So","key":"2504","mappings":{"default":{"default":"dibujos de cajas Light Triple Dash Horizontal"}}},{"category":"So","key":"2505","mappings":{"default":{"default":"dibujos de cajas Heavy Triple Dash Horizontal"}}},{"category":"So","key":"2506","mappings":{"default":{"default":"dibujos de cajas Light Triple Dash Vertical"}}},{"category":"So","key":"2507","mappings":{"default":{"default":"dibujos de cajas Heavy Triple Dash Vertical"}}},{"category":"So","key":"2508","mappings":{"default":{"default":"caja Dibujos Ligero Cuadruple Dash Horizontal"}}},{"category":"So","key":"2509","mappings":{"default":{"default":"dibujos de cajas Heavy Quadruple Dash Horizontal"}}},{"category":"So","key":"250A","mappings":{"default":{"default":"caja Dibujos Luz Cuadruple Tablero Vertical"}}},{"category":"So","key":"250B","mappings":{"default":{"default":"dibujos de cajas Heavy Quadruple Dash Vertical"}}},{"key":"250C","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"So"},{"category":"So","key":"250D","mappings":{"default":{"default":"dibujos de cajas Abajo Ligero y Derecho Pesado"}}},{"category":"So","key":"250E","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y rectos ligeros"}}},{"category":"So","key":"250F","mappings":{"default":{"default":"dibujos de cajas pesados ​​abajo y derecha"}}},{"key":"2510","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"So"},{"category":"So","key":"2511","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y pesados ​​a la izquierda"}}},{"category":"So","key":"2512","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y luz izquierda"}}},{"category":"So","key":"2513","mappings":{"default":{"default":"dibujos de cajas pesados ​​hacia abajo y hacia la izquierda"}}},{"key":"2514","mappings":{"default":{"default":"esquina superior derecha"}},"category":"So"},{"category":"So","key":"2515","mappings":{"default":{"default":"dibujos de cajas hasta ligero y derecho pesado"}}},{"category":"So","key":"2516","mappings":{"default":{"default":"dibujos de cajas hasta Pesadas y Ligeras"}}},{"category":"So","key":"2517","mappings":{"default":{"default":"dibujos de cajas pesados ​​y derechos"}}},{"key":"2518","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"So"},{"category":"So","key":"2519","mappings":{"default":{"default":"dibujos de cajas hasta livianos y pesados ​​a la izquierda"}}},{"category":"So","key":"251A","mappings":{"default":{"default":"dibujos de cajas hasta pesado y luz izquierda"}}},{"category":"So","key":"251B","mappings":{"default":{"default":"dibujos de cajas pesados ​​hacia arriba y hacia la izquierda"}}},{"key":"251C","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal"}},"category":"So"},{"category":"So","key":"251D","mappings":{"default":{"default":"cuadros de caja Vertical ligero y derecho pesado"}}},{"category":"So","key":"251E","mappings":{"default":{"default":"dibujos de cajas hasta pesados ​​y rectos hacia abajo"}}},{"category":"So","key":"251F","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y rectos arriba ligeros"}}},{"category":"So","key":"2520","mappings":{"default":{"default":"dibujos de cajas verticales pesadas y rectas ligeras"}}},{"category":"So","key":"2521","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y rectos arriba pesados"}}},{"category":"So","key":"2522","mappings":{"default":{"default":"dibujos de cajas para arriba livianos y rectos para abajo pesados"}}},{"category":"So","key":"2523","mappings":{"default":{"default":"dibujos de cajas pesadas verticales y derechas"}}},{"key":"2524","mappings":{"default":{"default":"delimitador derecho y separador horizontal"}},"category":"So"},{"category":"So","key":"2525","mappings":{"default":{"default":"cuadros de caja Vertical ligero y izquierdo pesado"}}},{"category":"So","key":"2526","mappings":{"default":{"default":"dibujos de cajas para arriba Pesado y Izquierda Abajo Luz"}}},{"category":"So","key":"2527","mappings":{"default":{"default":"dibujos de cajas abajo pesados ​​y luz izquierda arriba"}}},{"category":"So","key":"2528","mappings":{"default":{"default":"dibujos de cajas verticales pesadas y luz izquierda"}}},{"category":"So","key":"2529","mappings":{"default":{"default":"dibujos de cajas abajo ligeros e izquierdos arriba pesados"}}},{"category":"So","key":"252A","mappings":{"default":{"default":"dibujos de cajas para arriba Ligero y Izquierda Abajo Pesado"}}},{"category":"So","key":"252B","mappings":{"default":{"default":"dibujos de cajas pesadas verticales e izquierdas"}}},{"key":"252C","mappings":{"default":{"default":"delimitador superior y separador vertical"}},"category":"So"},{"category":"So","key":"252D","mappings":{"default":{"default":"dibujos de cajas izquierda pesados ​​y derecha abajo luz"}}},{"category":"So","key":"252E","mappings":{"default":{"default":"dibujos de cajas, derecha, pesada y izquierda abajo, luz"}}},{"category":"So","key":"252F","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y horizontales pesados"}}},{"category":"So","key":"2530","mappings":{"default":{"default":"dibujos de cajas de luz pesada y horizontal"}}},{"category":"So","key":"2531","mappings":{"default":{"default":"dibujos de la caja de luz derecha y izquierda abajo pesado"}}},{"category":"So","key":"2532","mappings":{"default":{"default":"cuadros de caja izquierda ligera y derecha abajo pesada"}}},{"category":"So","key":"2533","mappings":{"default":{"default":"dibujos de cajas pesados ​​y horizontales"}}},{"key":"2534","mappings":{"default":{"default":"delimitador inferior y separador vertical"}},"category":"So"},{"category":"So","key":"2535","mappings":{"default":{"default":"dibujos de cajas izquierda pesada y derecha arriba ligera"}}},{"category":"So","key":"2536","mappings":{"default":{"default":"dibujos de caja derecha pesada y luz izquierda arriba"}}},{"category":"So","key":"2537","mappings":{"default":{"default":"dibujos de cajas hasta ligero y horizontal pesado"}}},{"category":"So","key":"2538","mappings":{"default":{"default":"dibujos de cajas hasta luz pesada y horizontal"}}},{"category":"So","key":"2539","mappings":{"default":{"default":"dibujos de cajas a la derecha, livianos y a la izquierda, pesados"}}},{"category":"So","key":"253A","mappings":{"default":{"default":"dibujos de cajas Izquierda Ligera y Derecha Arriba Pesada"}}},{"category":"So","key":"253B","mappings":{"default":{"default":"dibujos de cajas pesados ​​y horizontales"}}},{"key":"253C","mappings":{"default":{"default":"cruce de separadores sencillos"}},"category":"So"},{"category":"So","key":"253D","mappings":{"default":{"default":"dibujos de cajas Izquierda Pesada y Derecha Vertical Luz"}}},{"category":"So","key":"253E","mappings":{"default":{"default":"dibujos de caja derecha pesada y luz vertical izquierda"}}},{"category":"So","key":"253F","mappings":{"default":{"default":"dibujos de cajas Vertical Ligera y Horizontal Pesada"}}},{"category":"So","key":"2540","mappings":{"default":{"default":"dibujos de cajas para arriba pesados ​​y abajo luz horizontal"}}},{"category":"So","key":"2541","mappings":{"default":{"default":"dibujos de cajas hacia abajo pesados ​​y hacia arriba luz horizontal"}}},{"category":"So","key":"2542","mappings":{"default":{"default":"dibujos de cajas verticales pesadas y horizontales ligeras"}}},{"category":"So","key":"2543","mappings":{"default":{"default":"dibujos de cajas Izquierda Arriba Pesada y Derecha abajo Luz"}}},{"category":"So","key":"2544","mappings":{"default":{"default":"dibujos de caja derecha arriba pesada y izquierda abajo luz"}}},{"category":"So","key":"2545","mappings":{"default":{"default":"dibujos de cajas, izquierda abajo, pesada y derecha arriba, ligera"}}},{"category":"So","key":"2546","mappings":{"default":{"default":"dibujos de la caja derecha abajo pesada y izquierda arriba ligera"}}},{"category":"So","key":"2547","mappings":{"default":{"default":"dibujos de cajas abajo ligeros y ascendentes horizontales pesados"}}},{"category":"So","key":"2548","mappings":{"default":{"default":"dibujos de cajas para arriba Ligero y para abajo horizontal pesado"}}},{"category":"So","key":"2549","mappings":{"default":{"default":"dibujos de cajas a la derecha, ligeros y a la izquierda, verticales, pesados"}}},{"category":"So","key":"254A","mappings":{"default":{"default":"dibujos de cajas Izquierda Ligera y Derecha Vertical Pesada"}}},{"category":"So","key":"254B","mappings":{"default":{"default":"dibujos de cajas pesadas verticales y horizontales"}}},{"category":"So","key":"254C","mappings":{"default":{"default":"dibujos de cajas Light Double Dash Horizontal"}}},{"category":"So","key":"254D","mappings":{"default":{"default":"dibujos de cajas Heavy Double Dash Horizontal"}}},{"category":"So","key":"254E","mappings":{"default":{"default":"dibujos de cajas Light Double Dash Vertical"}}},{"category":"So","key":"254F","mappings":{"default":{"default":"dibujos de cajas Heavy Double Dash Vertical"}}},{"key":"2550","mappings":{"default":{"default":"delimitador horizontal doble"}},"category":"So"},{"key":"2551","mappings":{"default":{"default":"delimitador vertical doble"}},"category":"So"},{"key":"2552","mappings":{"default":{"default":"esquina inferior derecha, vertical doble"}},"category":"So"},{"key":"2553","mappings":{"default":{"default":"esquina inferior derecha, horizontal doble"}},"category":"So"},{"key":"2554","mappings":{"default":{"default":"esquina inferior derecha doble"}},"category":"So"},{"key":"2555","mappings":{"default":{"default":"esquina inferior izquierda, vertical doble"}},"category":"So"},{"key":"2556","mappings":{"default":{"default":"esquina inferior izquierda, horizontal doble"}},"category":"So"},{"key":"2557","mappings":{"default":{"default":"esquina inferior izquierda doble"}},"category":"So"},{"key":"2558","mappings":{"default":{"default":"esquina superior derecha, vertical doble"}},"category":"So"},{"key":"2559","mappings":{"default":{"default":"esquina superior derecha, horizontal doble"}},"category":"So"},{"key":"255A","mappings":{"default":{"default":"esquina superior derecha doble"}},"category":"So"},{"key":"255B","mappings":{"default":{"default":"esquina superior izquierda, vertical doble"}},"category":"So"},{"key":"255C","mappings":{"default":{"default":"esquina superior izquierda, horizontal doble"}},"category":"So"},{"key":"255D","mappings":{"default":{"default":"esquina superior izquierda doble"}},"category":"So"},{"key":"255E","mappings":{"default":{"default":"delimitador izquierdo con separador doble"}},"category":"So"},{"key":"255F","mappings":{"default":{"default":"delimitador izquierdo doble con separador horizontal"}},"category":"So"},{"key":"2560","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal dobles"}},"category":"So"},{"key":"2561","mappings":{"default":{"default":"delimitador derecho con separador doble"}},"category":"So"},{"key":"2562","mappings":{"default":{"default":"delimitador derecho doble con separador horizontal"}},"category":"So"},{"key":"2563","mappings":{"default":{"default":"delimitador derecho y separador horizontal dobles"}},"category":"So"},{"key":"2564","mappings":{"default":{"default":"delimitador superior doble con separador vertical"}},"category":"So"},{"key":"2565","mappings":{"default":{"default":"delimitador superior con separador vertical doble"}},"category":"So"},{"key":"2566","mappings":{"default":{"default":"delimitador superior y separador vertical dobles"}},"category":"So"},{"key":"2567","mappings":{"default":{"default":"delimitador inferior doble con separador vertical"}},"category":"So"},{"key":"2568","mappings":{"default":{"default":"delimitador inferior con separador vertical doble"}},"category":"So"},{"key":"2569","mappings":{"default":{"default":"delimitador inferior y separador vertical dobles"}},"category":"So"},{"key":"256A","mappings":{"default":{"default":"cruce de separadores, vertical sencillo y horizontal doble"}},"category":"So"},{"key":"256B","mappings":{"default":{"default":"cruce de separadores, vertical doble y horizontal sencillo"}},"category":"So"},{"key":"256C","mappings":{"default":{"default":"cruce de separadores dobles"}},"category":"So"},{"category":"So","key":"256D","mappings":{"default":{"default":"dibujos de cajas de luz arco abajo y derecha"}}},{"category":"So","key":"256E","mappings":{"default":{"default":"dibujos de cajas de luz arco hacia abajo y hacia la izquierda"}}},{"category":"So","key":"256F","mappings":{"default":{"default":"dibujos de cajas de luz arco arriba y a la izquierda"}}},{"category":"So","key":"2570","mappings":{"default":{"default":"caja de dibujos de luz arco arriba y derecha"}}},{"category":"So","key":"2571","mappings":{"default":{"default":"dibujos de cajas Luz Diagonal Superior derecha a inferior izquierda"}}},{"category":"So","key":"2572","mappings":{"default":{"default":"dibujos de cajas Luz Diagonal Superior izquierda a inferior derecha"}}},{"category":"So","key":"2573","mappings":{"default":{"default":"dibujos de cajas de luz diagonal cruz"}}},{"category":"So","key":"2574","mappings":{"default":{"default":"dibujos de cajas luz izquierda"}}},{"category":"So","key":"2575","mappings":{"default":{"default":"dibujos de cajas se iluminan"}}},{"category":"So","key":"2576","mappings":{"default":{"default":"dibujos de cajas a la derecha"}}},{"category":"So","key":"2577","mappings":{"default":{"default":"dibujos de cajas de luz hacia abajo"}}},{"category":"So","key":"2578","mappings":{"default":{"default":"dibujos de cajas pesados ​​a la izquierda"}}},{"category":"So","key":"2579","mappings":{"default":{"default":"dibujos de cajas pesados"}}},{"category":"So","key":"257A","mappings":{"default":{"default":"caja de dibujos pesado derecho"}}},{"category":"So","key":"257B","mappings":{"default":{"default":"dibujos de cajas pesados"}}},{"category":"So","key":"257C","mappings":{"default":{"default":"dibujos de cajas Ligero Izquierda y Pesada Derecha"}}},{"category":"So","key":"257D","mappings":{"default":{"default":"dibujos de cajas iluminados y pesados"}}},{"category":"So","key":"257E","mappings":{"default":{"default":"dibujos de cajas Pesado Izquierda y Luz Derecha"}}},{"category":"So","key":"257F","mappings":{"default":{"default":"dibujos de cajas pesados ​​y ligeros"}}},{"key":"2580","mappings":{"default":{"default":"bloque mitad superior"}},"category":"So"},{"category":"So","key":"2581","mappings":{"default":{"default":"bajar un octavo bloque"}}},{"category":"So","key":"2582","mappings":{"default":{"default":"bloque de un cuarto inferior"}}},{"category":"So","key":"2583","mappings":{"default":{"default":"bloque de tres octavos más bajo"}}},{"key":"2584","mappings":{"default":{"default":"bloque mitad inferior"}},"category":"So"},{"category":"So","key":"2585","mappings":{"default":{"default":"bloque inferior de cinco octavos"}}},{"category":"So","key":"2586","mappings":{"default":{"default":"bloque de tres cuartos más bajo"}}},{"category":"So","key":"2587","mappings":{"default":{"default":"lower Seven Eighths Block"}}},{"key":"2588","mappings":{"default":{"default":"bloque"}},"category":"So"},{"category":"So","key":"2589","mappings":{"default":{"default":"bloque de siete octavos a la izquierda"}}},{"category":"So","key":"258A","mappings":{"default":{"default":"bloque de tres cuartos a la izquierda"}}},{"category":"So","key":"258B","mappings":{"default":{"default":"bloque de cinco octavos a la izquierda"}}},{"category":"So","key":"258C","mappings":{"default":{"default":"media cuadra izquierda"}}},{"category":"So","key":"258D","mappings":{"default":{"default":"bloque de tres octavos a la izquierda"}}},{"category":"So","key":"258E","mappings":{"default":{"default":"bloque de un cuarto a la izquierda"}}},{"category":"So","key":"258F","mappings":{"default":{"default":"izquierda un octavo bloque"}}},{"category":"So","key":"2590","mappings":{"default":{"default":"media cuadra derecha"}}},{"key":"2591","mappings":{"default":{"default":"sombra ligera"}},"category":"So"},{"key":"2592","mappings":{"default":{"default":"sombra media"}},"category":"So"},{"key":"2593","mappings":{"default":{"default":"sombra intensa"}},"category":"So"},{"category":"So","key":"2594","mappings":{"default":{"default":"upper One Eighth Block"}}},{"category":"So","key":"2595","mappings":{"default":{"default":"a la derecha un octavo bloque"}}},{"category":"So","key":"2596","mappings":{"default":{"default":"cuadrante inferior izquierdo"}}},{"category":"So","key":"2597","mappings":{"default":{"default":"cuadrante inferior derecho"}}},{"category":"So","key":"2598","mappings":{"default":{"default":"cuadrante superior izquierdo"}}},{"category":"So","key":"2599","mappings":{"default":{"default":"cuadrante superior izquierdo e inferior izquierdo e inferior derecho"}}},{"category":"So","key":"259A","mappings":{"default":{"default":"cuadrante superior izquierdo e inferior derecho"}}},{"category":"So","key":"259B","mappings":{"default":{"default":"cuadrante superior izquierdo y superior derecho e inferior izquierdo"}}},{"category":"So","key":"259C","mappings":{"default":{"default":"cuadrante superior izquierdo y superior derecho e inferior derecho"}}},{"category":"So","key":"259D","mappings":{"default":{"default":"cuadrante superior derecho"}}},{"category":"So","key":"259E","mappings":{"default":{"default":"cuadrante superior derecho e inferior izquierdo"}}},{"category":"So","key":"259F","mappings":{"default":{"default":"cuadrante superior derecho e inferior izquierdo e inferior derecho"}}},{"key":"25A0","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25A1","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"category":"So","key":"25A2","mappings":{"default":{"default":"cuadrado blanco con esquinas redondeadas"}}},{"category":"So","key":"25A3","mappings":{"default":{"default":"cuadrado blanco que contiene cuadrado pequeño negro"}}},{"category":"So","key":"25A4","mappings":{"default":{"default":"cuadrado con relleno horizontal"}}},{"category":"So","key":"25A5","mappings":{"default":{"default":"cuadrado con relleno vertical"}}},{"category":"So","key":"25A6","mappings":{"default":{"default":"cuadrado con relleno de rayado ortogonal"}}},{"category":"So","key":"25A7","mappings":{"default":{"default":"cuadrado con la esquina superior izquierda a la derecha inferior"}}},{"category":"So","key":"25A8","mappings":{"default":{"default":"cuadrado con la parte superior derecha hacia abajo izquierda Relleno"}}},{"category":"So","key":"25A9","mappings":{"default":{"default":"cuadrado con relleno de rayado diagonal"}}},{"key":"25AA","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25AB","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"category":"So","key":"25AC","mappings":{"default":{"default":"rectángulo negro"}}},{"key":"25AD","mappings":{"default":{"default":"rectángulo"}},"category":"So"},{"key":"25AE","mappings":{"default":{"default":"rectángulo relleno vertical"}},"category":"So"},{"key":"25AF","mappings":{"default":{"default":"rectángulo vertical"}},"category":"So"},{"category":"So","key":"25B0","mappings":{"default":{"default":"paralelogramo negro"}}},{"key":"25B1","mappings":{"default":{"default":"paralelogramo"}},"category":"So"},{"key":"25B2","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B3","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B4","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B5","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B6","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B7","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"Sm"},{"key":"25B8","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B9","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"So"},{"category":"So","key":"25BA","mappings":{"default":{"default":"indicador de apuntar hacia la derecha negro"}}},{"category":"So","key":"25BB","mappings":{"default":{"default":"puntero de apuntar hacia la derecha blanco"}}},{"key":"25BC","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BD","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25BE","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BF","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25C0","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C1","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"Sm"},{"key":"25C2","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C3","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"So"},{"key":"25C4","mappings":{"default":{"default":"puntero relleno señala izquierda"}},"category":"So"},{"key":"25C5","mappings":{"default":{"default":"puntero señala izquierda"}},"category":"So"},{"key":"25C6","mappings":{"default":{"default":"diamante relleno"}},"category":"So"},{"key":"25C7","mappings":{"default":{"default":"diamante"}},"category":"So"},{"key":"25C8","mappings":{"default":{"default":"diamante vacío contiene diamante relleno"}},"category":"So"},{"key":"25C9","mappings":{"default":{"default":"ojo de pez"}},"category":"So"},{"key":"25CA","mappings":{"default":{"default":"rombo"}},"category":"So"},{"key":"25CB","mappings":{"default":{"default":"círculo vacío"}},"category":"So"},{"key":"25CC","mappings":{"default":{"default":"círculo punteado"}},"category":"So"},{"key":"25CD","mappings":{"default":{"default":"círculo con relleno vertical"}},"category":"So"},{"key":"25CE","mappings":{"default":{"default":"blanco"}},"category":"So"},{"key":"25CF","mappings":{"default":{"default":"círculo relleno"}},"category":"So"},{"key":"25D0","mappings":{"default":{"default":"círculo con mitad izquierda rellena"}},"category":"So"},{"key":"25D1","mappings":{"default":{"default":"círculo con mitad derecha rellena"}},"category":"So"},{"key":"25D2","mappings":{"default":{"default":"círculo con mitad inferior rellena"}},"category":"So"},{"key":"25D3","mappings":{"default":{"default":"círculo con mitad superior rellena"}},"category":"So"},{"key":"25D4","mappings":{"default":{"default":"círculo con cuadrante superior derecho relleno"}},"category":"So"},{"key":"25D5","mappings":{"default":{"default":"círculo con cuadrante superior izquierdo relleno"}},"category":"So"},{"key":"25D6","mappings":{"default":{"default":"semicírculo izquierdo relleno"}},"category":"So"},{"key":"25D7","mappings":{"default":{"default":"semicírculo derecho relleno"}},"category":"So"},{"key":"25D8","mappings":{"default":{"default":"bullet inversa"}},"category":"So"},{"key":"25D9","mappings":{"default":{"default":"círculo vacío inverso"}},"category":"So"},{"key":"25DA","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DB","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DC","mappings":{"default":{"default":"arco superior izquierda"}},"category":"So"},{"key":"25DD","mappings":{"default":{"default":"arco superior derecha"}},"category":"So"},{"key":"25DE","mappings":{"default":{"default":"arco inferior derecha"}},"category":"So"},{"key":"25DF","mappings":{"default":{"default":"arco inferior izquierda"}},"category":"So"},{"key":"25E0","mappings":{"default":{"default":"semicírculo superior"}},"category":"So"},{"key":"25E1","mappings":{"default":{"default":"semicírculo inferior"}},"category":"So"},{"key":"25E2","mappings":{"default":{"default":"triángulo inferior derecha relleno"}},"category":"So"},{"key":"25E3","mappings":{"default":{"default":"triángulo inferior izquierda relleno"}},"category":"So"},{"key":"25E4","mappings":{"default":{"default":"triángulo superior izquierda relleno"}},"category":"So"},{"key":"25E5","mappings":{"default":{"default":"triángulo superior derecha relleno"}},"category":"So"},{"key":"25E6","mappings":{"default":{"default":"composición"}},"category":"So"},{"key":"25E7","mappings":{"default":{"default":"cuadrado con mitad izquierda rellena"}},"category":"So"},{"key":"25E8","mappings":{"default":{"default":"cuadrado con mitad derecha rellena"}},"category":"So"},{"key":"25E9","mappings":{"default":{"default":"cuadrado con mitad superior izquierda rellena"}},"category":"So"},{"key":"25EA","mappings":{"default":{"default":"cuadrado con mitad inferior derecha rellena"}},"category":"So"},{"key":"25EB","mappings":{"default":{"default":"cuadrado con bisectriz"}},"category":"So"},{"key":"25EC","mappings":{"default":{"default":"triángulo vacío con punto"}},"category":"So"},{"key":"25ED","mappings":{"default":{"default":"triángulo apuntando arriba con mitad izquierda rellena"}},"category":"So"},{"key":"25EE","mappings":{"default":{"default":"triángulo apuntando arriba con mitad derecha rellena"}},"category":"So"},{"key":"25EF","mappings":{"default":{"default":"círculo grande"}},"category":"So"},{"category":"So","key":"25F0","mappings":{"default":{"default":"cuadrado blanco con cuadrante superior izquierdo"}}},{"category":"So","key":"25F1","mappings":{"default":{"default":"cuadrado blanco con cuadrante inferior izquierdo"}}},{"category":"So","key":"25F2","mappings":{"default":{"default":"cuadrado blanco con cuadrante inferior derecho"}}},{"category":"So","key":"25F3","mappings":{"default":{"default":"cuadrado blanco con cuadrante superior derecho"}}},{"category":"So","key":"25F4","mappings":{"default":{"default":"círculo blanco con cuadrante superior izquierdo"}}},{"category":"So","key":"25F5","mappings":{"default":{"default":"círculo blanco con cuadrante inferior izquierdo"}}},{"category":"So","key":"25F6","mappings":{"default":{"default":"círculo blanco con cuadrante inferior derecho"}}},{"category":"So","key":"25F7","mappings":{"default":{"default":"círculo blanco con cuadrante superior derecho"}}},{"key":"25F8","mappings":{"default":{"default":"triángulo superior izquierda"}},"category":"Sm"},{"key":"25F9","mappings":{"default":{"default":"triángulo superior derecha"}},"category":"Sm"},{"key":"25FA","mappings":{"default":{"default":"triángulo inferior izquierda"}},"category":"Sm"},{"key":"25FB","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FC","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FD","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FE","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FF","mappings":{"default":{"default":"triángulo inferior derecha"}},"category":"Sm"},{"category":"So","key":"2B12","mappings":{"default":{"default":"cuadrado con mitad superior negra"}}},{"category":"So","key":"2B13","mappings":{"default":{"default":"cuadrado con mitad inferior negra"}}},{"category":"So","key":"2B14","mappings":{"default":{"default":"cuadrado con mitad derecha superior diagonal negra"}}},{"category":"So","key":"2B15","mappings":{"default":{"default":"cuadrado con mitad diagonal izquierda inferior negra"}}},{"category":"So","key":"2B16","mappings":{"default":{"default":"diamante con Mitad Izquierda Negro"}}},{"category":"So","key":"2B17","mappings":{"default":{"default":"diamante con mitad derecha negra"}}},{"category":"So","key":"2B18","mappings":{"default":{"default":"diamante con mitad superior negra"}}},{"category":"So","key":"2B19","mappings":{"default":{"default":"diamante con mitad inferior negra"}}},{"category":"So","key":"2B1A","mappings":{"default":{"default":"cuadrado punteado"}}},{"category":"So","key":"2B1B","mappings":{"default":{"default":"cuadrado grande negro"}}},{"category":"So","key":"2B1C","mappings":{"default":{"default":"gran Plaza Blanca"}}},{"category":"So","key":"2B1D","mappings":{"default":{"default":"cuadrado muy pequeño negro"}}},{"category":"So","key":"2B1E","mappings":{"default":{"default":"cuadrado muy pequeño blanco"}}},{"category":"So","key":"2B1F","mappings":{"default":{"default":"pentágono negro"}}},{"category":"So","key":"2B20","mappings":{"default":{"default":"pentágono blanco"}}},{"category":"So","key":"2B21","mappings":{"default":{"default":"hexágono blanco"}}},{"category":"So","key":"2B22","mappings":{"default":{"default":"hexágono negro"}}},{"category":"So","key":"2B23","mappings":{"default":{"default":"hexagonal negro horizontal"}}},{"category":"So","key":"2B24","mappings":{"default":{"default":"circulo grande negro"}}},{"category":"So","key":"2B25","mappings":{"default":{"default":"diamante Mediano Negro"}}},{"category":"So","key":"2B26","mappings":{"default":{"default":"diamante blanco medio"}}},{"category":"So","key":"2B27","mappings":{"default":{"default":"lozenge Mediano Negro"}}},{"category":"So","key":"2B28","mappings":{"default":{"default":"pastilla blanca mediana"}}},{"category":"So","key":"2B29","mappings":{"default":{"default":"pequeño diamante negro"}}},{"category":"So","key":"2B2A","mappings":{"default":{"default":"lozenge pequeño negro"}}},{"category":"So","key":"2B2B","mappings":{"default":{"default":"lozenge pequeño blanco"}}},{"category":"So","key":"2B2C","mappings":{"default":{"default":"elipse horizontal negro"}}},{"category":"So","key":"2B2D","mappings":{"default":{"default":"elipse horizontal blanco"}}},{"category":"So","key":"2B2E","mappings":{"default":{"default":"elipse Vertical Negro"}}},{"category":"So","key":"2B2F","mappings":{"default":{"default":"elipse Vertical Blanco"}}},{"key":"2B50","mappings":{"default":{"default":"estrella media vacía"}},"category":"So"},{"key":"2B51","mappings":{"default":{"default":"estrella pequeña rellena"}},"category":"So"},{"key":"2B52","mappings":{"default":{"default":"estrella pequeña vacía"}},"category":"So"},{"category":"So","key":"2B53","mappings":{"default":{"default":"pentágono negro que señala hacia la derecha"}}},{"category":"So","key":"2B54","mappings":{"default":{"default":"pentágono blanco que señala hacia la derecha"}}},{"category":"So","key":"2B55","mappings":{"default":{"default":"círculo grande pesado"}}},{"category":"So","key":"2B56","mappings":{"default":{"default":"óvalo pesado con interior oval"}}},{"category":"So","key":"2B57","mappings":{"default":{"default":"círculo pesado con círculo dentro"}}},{"category":"So","key":"2B58","mappings":{"default":{"default":"círculo pesado"}}},{"category":"So","key":"2B59","mappings":{"default":{"default":"saltire en círculo pesado"}}}]
 ,
-"es/latin-mathfonts-fraktur.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula A"}},"key":"1D504"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula B"}},"key":"1D505"},{"key":"212D","mappings":{"default":{"default":"Fraktur mayúscula C"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula D"}},"key":"1D507"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula E"}},"key":"1D508"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula F"}},"key":"1D509"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula G"}},"key":"1D50A"},{"key":"210C","mappings":{"default":{"default":"Fraktur mayúscula H"}},"category":"Lu"},{"key":"2111","mappings":{"default":{"default":"Fraktur mayúscula I"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula J"}},"key":"1D50D"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula K"}},"key":"1D50E"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula L"}},"key":"1D50F"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula M"}},"key":"1D510"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula N"}},"key":"1D511"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula O"}},"key":"1D512"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula P"}},"key":"1D513"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula Q"}},"key":"1D514"},{"key":"211C","mappings":{"default":{"default":"Fraktur mayúscula R"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula S"}},"key":"1D516"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula T"}},"key":"1D517"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula U"}},"key":"1D518"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula V"}},"key":"1D519"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula W"}},"key":"1D51A"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula X"}},"key":"1D51B"},{"category":"Lu","mappings":{"default":{"default":"Fraktur mayúscula Y"}},"key":"1D51C"},{"key":"2128","mappings":{"default":{"default":"Fraktur mayúscula Z"}},"category":"Lu"},{"category":"Ll","mappings":{"default":{"default":"Fraktur a"}},"key":"1D51E"},{"category":"Ll","mappings":{"default":{"default":"Fraktur b"}},"key":"1D51F"},{"category":"Ll","mappings":{"default":{"default":"Fraktur c"}},"key":"1D520"},{"category":"Ll","mappings":{"default":{"default":"Fraktur d"}},"key":"1D521"},{"category":"Ll","mappings":{"default":{"default":"Fraktur e"}},"key":"1D522"},{"category":"Ll","mappings":{"default":{"default":"Fraktur f"}},"key":"1D523"},{"category":"Ll","mappings":{"default":{"default":"Fraktur g"}},"key":"1D524"},{"category":"Ll","mappings":{"default":{"default":"Fraktur h"}},"key":"1D525"},{"category":"Ll","mappings":{"default":{"default":"Fraktur i"}},"key":"1D526"},{"category":"Ll","mappings":{"default":{"default":"Fraktur j"}},"key":"1D527"},{"category":"Ll","mappings":{"default":{"default":"Fraktur k"}},"key":"1D528"},{"category":"Ll","mappings":{"default":{"default":"Fraktur l"}},"key":"1D529"},{"category":"Ll","mappings":{"default":{"default":"Fraktur m"}},"key":"1D52A"},{"category":"Ll","mappings":{"default":{"default":"Fraktur n"}},"key":"1D52B"},{"category":"Ll","mappings":{"default":{"default":"Fraktur o"}},"key":"1D52C"},{"category":"Ll","mappings":{"default":{"default":"Fraktur p"}},"key":"1D52D"},{"category":"Ll","mappings":{"default":{"default":"Fraktur q"}},"key":"1D52E"},{"category":"Ll","mappings":{"default":{"default":"Fraktur r"}},"key":"1D52F"},{"category":"Ll","mappings":{"default":{"default":"Fraktur s"}},"key":"1D530"},{"category":"Ll","mappings":{"default":{"default":"Fraktur t"}},"key":"1D531"},{"category":"Ll","mappings":{"default":{"default":"Fraktur u"}},"key":"1D532"},{"category":"Ll","mappings":{"default":{"default":"Fraktur v"}},"key":"1D533"},{"category":"Ll","mappings":{"default":{"default":"Fraktur w"}},"key":"1D534"},{"category":"Ll","mappings":{"default":{"default":"Fraktur x"}},"key":"1D535"},{"category":"Ll","mappings":{"default":{"default":"Fraktur y"}},"key":"1D536"},{"category":"Ll","mappings":{"default":{"default":"Fraktur z"}},"key":"1D537"}]
+"es/symbols/math_harpoons.js": 
+[{"locale":"es"},{"key":"21BC","mappings":{"default":{"default":"flecha izquierda con arpón arriba"}},"category":"So"},{"key":"21BD","mappings":{"default":{"default":"flecha izquierda con arpón debajo"}},"category":"So"},{"key":"21BE","mappings":{"default":{"default":"flecha arriba con arpón derecho"}},"category":"So"},{"key":"21BF","mappings":{"default":{"default":"flecha arriba con arpón izquierdo"}},"category":"So"},{"key":"21C0","mappings":{"default":{"default":"flecha derecha con arpón arriba"}},"category":"So"},{"key":"21C1","mappings":{"default":{"default":"flecha derecha con arpón debajo"}},"category":"So"},{"key":"21C2","mappings":{"default":{"default":"flecha abajo con arpón derecho"}},"category":"So"},{"key":"21C3","mappings":{"default":{"default":"flecha abajo con arpón izquierdo"}},"category":"So"},{"key":"21CB","mappings":{"default":{"default":"arpón izquierdo arriba de arpón derecho"}},"category":"So"},{"key":"21CC","mappings":{"default":{"default":"arpón derecho arriba de arpón izquierdo"}},"category":"So"},{"category":"Sm","key":"294A","mappings":{"default":{"default":"barra izquierda arriba barra derecha abajo arpón"}}},{"category":"Sm","key":"294B","mappings":{"default":{"default":"barra izquierda abajo barra derecha arriba arpón"}}},{"category":"Sm","key":"294C","mappings":{"default":{"default":"up barb right down barb left harpoon"}}},{"category":"Sm","key":"294D","mappings":{"default":{"default":"arriba barb izquierda abajo barb derecha arpón"}}},{"category":"Sm","key":"294E","mappings":{"default":{"default":"barra izquierda arriba barra derecha arriba arpón"}}},{"key":"294F","mappings":{"default":{"default":"arpón a la derecha hacia arriba y abajo"}},"category":"Sm"},{"category":"Sm","key":"2950","mappings":{"default":{"default":"barra izquierda abajo barra derecha abajo arpón"}}},{"key":"2951","mappings":{"default":{"default":"arpón a la izquierda hacia arriba y abajo"}},"category":"Sm"},{"category":"Sm","key":"2952","mappings":{"default":{"default":"arpón a la izquierda con púa hasta la barra"}}},{"category":"Sm","key":"2953","mappings":{"default":{"default":"arpón a la derecha con púa hasta la barra"}}},{"category":"Sm","key":"2954","mappings":{"default":{"default":"arpón ascendente con púa derecha a barra"}}},{"category":"Sm","key":"2955","mappings":{"default":{"default":"arpón hacia abajo con púa derecha a barra"}}},{"category":"Sm","key":"2956","mappings":{"default":{"default":"arpón a la izquierda con púas abajo a la barra"}}},{"category":"Sm","key":"2957","mappings":{"default":{"default":"arpón a la derecha con púa abajo a la barra"}}},{"category":"Sm","key":"2958","mappings":{"default":{"default":"arpón ascendente con púa izquierda a barra"}}},{"category":"Sm","key":"2959","mappings":{"default":{"default":"arpón hacia abajo con la barra izquierda a la barra"}}},{"category":"Sm","key":"295A","mappings":{"default":{"default":"arpón a la izquierda con púa arriba de la barra"}}},{"category":"Sm","key":"295B","mappings":{"default":{"default":"arpón a la derecha con púa arriba del bar"}}},{"category":"Sm","key":"295C","mappings":{"default":{"default":"arpón ascendente con púa derecha de barra"}}},{"category":"Sm","key":"295D","mappings":{"default":{"default":"arpón hacia abajo con púa derecha de barra"}}},{"category":"Sm","key":"295E","mappings":{"default":{"default":"arpón a la izquierda con púa abajo de barra"}}},{"category":"Sm","key":"295F","mappings":{"default":{"default":"arpón a la derecha con púa abajo de barra"}}},{"category":"Sm","key":"2960","mappings":{"default":{"default":"arpón ascendente con púa izquierda de barra"}}},{"category":"Sm","key":"2961","mappings":{"default":{"default":"arpón hacia abajo con barra izquierda de barra"}}},{"category":"Sm","key":"2962","mappings":{"default":{"default":"arpón a la izquierda con púas arriba arriba arpón a la izquierda con púas abajo"}}},{"category":"Sm","key":"2963","mappings":{"default":{"default":"arpón ascendente con púa izquierda al lado arpón ascendente con púa derecha"}}},{"category":"Sm","key":"2964","mappings":{"default":{"default":"arpón a la derecha con púas arriba arriba arpón a la derecha con púas abajo"}}},{"category":"Sm","key":"2965","mappings":{"default":{"default":"arpón hacia abajo con lengüeta a la izquierda al lado arpón hacia abajo con lengüeta a la derecha"}}},{"category":"Sm","key":"2966","mappings":{"default":{"default":"arpón a la izquierda con púa arriba arriba arpón a la derecha con púa arriba"}}},{"category":"Sm","key":"2967","mappings":{"default":{"default":"arpón a la izquierda con púa abajo arriba arpón a la derecha con púa abajo"}}},{"category":"Sm","key":"2968","mappings":{"default":{"default":"arpón a la derecha con púas arriba arriba arpón a la izquierda con púas arriba"}}},{"category":"Sm","key":"2969","mappings":{"default":{"default":"arpón a la derecha con púa abajo arriba arpón a la izquierda con púa abajo"}}},{"key":"296A","mappings":{"default":{"default":"barra con arpón hacia la izquierda"}},"category":"Sm"},{"key":"296B","mappings":{"default":{"default":"arpón hacia la izquierda con barra"}},"category":"Sm"},{"key":"296C","mappings":{"default":{"default":"barra con arpón hacia la derecha"}},"category":"Sm"},{"key":"296D","mappings":{"default":{"default":"arpón hacia la derecha con barra"}},"category":"Sm"},{"category":"Sm","key":"296E","mappings":{"default":{"default":"arpón ascendente con púa izquierda al lado arpón hacia abajo con púa derecha"}}},{"category":"Sm","key":"296F","mappings":{"default":{"default":"arpón hacia abajo con lengüeta a la izquierda al lado arpón hacia arriba con pica a la derecha"}}},{"category":"Sm","key":"297C","mappings":{"default":{"default":"cola de pescado izquierda"}}},{"category":"Sm","key":"297D","mappings":{"default":{"default":"cola de pescado derecha"}}},{"key":"297E","mappings":{"default":{"default":"barra con doble gancho"}},"category":"Sm"},{"category":"Sm","key":"297F","mappings":{"default":{"default":"cola de pez abajo"}}}]
 ,
-"es/latin-mathfonts-italic.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula A"}},"key":"1D434"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula B"}},"key":"1D435"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula C"}},"key":"1D436"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula D"}},"key":"1D437"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula E"}},"key":"1D438"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula F"}},"key":"1D439"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula G"}},"key":"1D43A"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula H"}},"key":"1D43B"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula I"}},"key":"1D43C"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula J"}},"key":"1D43D"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula K"}},"key":"1D43E"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula L"}},"key":"1D43F"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula M"}},"key":"1D440"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula N"}},"key":"1D441"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula O"}},"key":"1D442"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula P"}},"key":"1D443"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Q"}},"key":"1D444"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula R"}},"key":"1D445"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula S"}},"key":"1D446"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula T"}},"key":"1D447"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula U"}},"key":"1D448"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula V"}},"key":"1D449"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula W"}},"key":"1D44A"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula X"}},"key":"1D44B"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Y"}},"key":"1D44C"},{"category":"Lu","mappings":{"default":{"default":"cursiva mayúscula Z"}},"key":"1D44D"},{"category":"Ll","mappings":{"default":{"default":"cursiva a"}},"key":"1D44E"},{"category":"Ll","mappings":{"default":{"default":"cursiva b"}},"key":"1D44F"},{"category":"Ll","mappings":{"default":{"default":"cursiva c"}},"key":"1D450"},{"category":"Ll","mappings":{"default":{"default":"cursiva d"}},"key":"1D451"},{"category":"Ll","mappings":{"default":{"default":"cursiva e"}},"key":"1D452"},{"category":"Ll","mappings":{"default":{"default":"cursiva f"}},"key":"1D453"},{"category":"Ll","mappings":{"default":{"default":"cursiva g"}},"key":"1D454"},{"key":"210E","mappings":{"default":{"default":"constante de Planck"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"cursiva i"}},"key":"1D456"},{"category":"Ll","mappings":{"default":{"default":"cursiva j"}},"key":"1D457"},{"category":"Ll","mappings":{"default":{"default":"cursiva k"}},"key":"1D458"},{"category":"Ll","mappings":{"default":{"default":"cursiva l"}},"key":"1D459"},{"category":"Ll","mappings":{"default":{"default":"cursiva m"}},"key":"1D45A"},{"category":"Ll","mappings":{"default":{"default":"cursiva n"}},"key":"1D45B"},{"category":"Ll","mappings":{"default":{"default":"cursiva o"}},"key":"1D45C"},{"category":"Ll","mappings":{"default":{"default":"cursiva p"}},"key":"1D45D"},{"category":"Ll","mappings":{"default":{"default":"cursiva q"}},"key":"1D45E"},{"category":"Ll","mappings":{"default":{"default":"cursiva r"}},"key":"1D45F"},{"category":"Ll","mappings":{"default":{"default":"cursiva s"}},"key":"1D460"},{"category":"Ll","mappings":{"default":{"default":"cursiva t"}},"key":"1D461"},{"category":"Ll","mappings":{"default":{"default":"cursiva u"}},"key":"1D462"},{"category":"Ll","mappings":{"default":{"default":"cursiva v"}},"key":"1D463"},{"category":"Ll","mappings":{"default":{"default":"cursiva w"}},"key":"1D464"},{"category":"Ll","mappings":{"default":{"default":"cursiva x"}},"key":"1D465"},{"category":"Ll","mappings":{"default":{"default":"cursiva y"}},"key":"1D466"},{"category":"Ll","mappings":{"default":{"default":"cursiva z"}},"key":"1D467"}]
+"es/symbols/math_non_characters.js": 
+[{"locale":"es"},{"key":"210F","mappings":{"default":{"default":"h barra"}},"category":"Ll"},{"category":"So","key":"2114","mappings":{"default":{"default":"L B símbolo de barra"}}},{"key":"2116","mappings":{"default":{"default":"signo de número"}},"category":"So"},{"key":"2117","mappings":{"default":{"default":"derechos de autor de sonido"}},"category":"So"},{"key":"211E","mappings":{"default":{"default":"receta"}},"category":"So"},{"category":"So","key":"211F","mappings":{"default":{"default":"respuesta"}}},{"category":"So","key":"2120","mappings":{"default":{"default":"marca de servicio"}}},{"category":"So","key":"2121","mappings":{"default":{"default":"señal de telefono"}}},{"key":"2122","mappings":{"default":{"default":"registrado"}},"category":"So"},{"category":"So","key":"2123","mappings":{"default":{"default":"versículo"}}},{"key":"2125","mappings":{"default":{"default":"onza"}},"category":"So"},{"key":"2126","mappings":{"default":{"default":"ohmio"}},"category":"Lu"},{"key":"2127","mappings":{"default":{"default":"ohmio invertido"}},"category":"So"},{"key":"212A","mappings":{"default":{"default":"grados kelvin"}},"category":"Lu"},{"key":"212B","mappings":{"default":{"default":"angstrom"}},"category":"Lu"},{"category":"So","key":"212E","mappings":{"default":{"default":"Símbolo estimado"}}},{"key":"2132","mappings":{"default":{"default":"mayúscula F invertida"}},"category":"Lu"},{"category":"Ll","key":"2139","mappings":{"default":{"default":"fuente de información"}}},{"category":"So","key":"213A","mappings":{"default":{"default":"capital rotado Q"}}},{"category":"So","key":"213B","mappings":{"default":{"default":"signo de fax"}}},{"category":"Sm","key":"2141","mappings":{"default":{"default":"convertido sans serif mayúscula G"}}},{"category":"Sm","key":"2142","mappings":{"default":{"default":"convertido sans serif mayúscula L"}}},{"category":"Sm","key":"2143","mappings":{"default":{"default":"invertido sans serif mayúscula L"}}},{"category":"Sm","key":"2144","mappings":{"default":{"default":"convertido en sans serif mayúscula Y"}}}]
 ,
-"es/latin-mathfonts-monospace.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula A"}},"key":"1D670"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula B"}},"key":"1D671"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula C"}},"key":"1D672"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula D"}},"key":"1D673"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula E"}},"key":"1D674"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula F"}},"key":"1D675"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula G"}},"key":"1D676"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula H"}},"key":"1D677"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula I"}},"key":"1D678"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula J"}},"key":"1D679"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula K"}},"key":"1D67A"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula L"}},"key":"1D67B"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula M"}},"key":"1D67C"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula N"}},"key":"1D67D"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula O"}},"key":"1D67E"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula P"}},"key":"1D67F"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula Q"}},"key":"1D680"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula R"}},"key":"1D681"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula S"}},"key":"1D682"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula T"}},"key":"1D683"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula U"}},"key":"1D684"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula V"}},"key":"1D685"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula W"}},"key":"1D686"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula X"}},"key":"1D687"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula Y"}},"key":"1D688"},{"category":"Lu","mappings":{"default":{"default":"monoespacio mayúscula Z"}},"key":"1D689"},{"category":"Ll","mappings":{"default":{"default":"monoespacio a"}},"key":"1D68A"},{"category":"Ll","mappings":{"default":{"default":"monoespacio b"}},"key":"1D68B"},{"category":"Ll","mappings":{"default":{"default":"monoespacio c"}},"key":"1D68C"},{"category":"Ll","mappings":{"default":{"default":"monoespacio d"}},"key":"1D68D"},{"category":"Ll","mappings":{"default":{"default":"monoespacio e"}},"key":"1D68E"},{"category":"Ll","mappings":{"default":{"default":"monoespacio f"}},"key":"1D68F"},{"category":"Ll","mappings":{"default":{"default":"monoespacio g"}},"key":"1D690"},{"category":"Ll","mappings":{"default":{"default":"monoespacio h"}},"key":"1D691"},{"category":"Ll","mappings":{"default":{"default":"monoespacio i"}},"key":"1D692"},{"category":"Ll","mappings":{"default":{"default":"monoespacio j"}},"key":"1D693"},{"category":"Ll","mappings":{"default":{"default":"monoespacio k"}},"key":"1D694"},{"category":"Ll","mappings":{"default":{"default":"monoespacio l"}},"key":"1D695"},{"category":"Ll","mappings":{"default":{"default":"monoespacio m"}},"key":"1D696"},{"category":"Ll","mappings":{"default":{"default":"monoespacio n"}},"key":"1D697"},{"category":"Ll","mappings":{"default":{"default":"monoespacio o"}},"key":"1D698"},{"category":"Ll","mappings":{"default":{"default":"monoespacio p"}},"key":"1D699"},{"category":"Ll","mappings":{"default":{"default":"monoespacio q"}},"key":"1D69A"},{"category":"Ll","mappings":{"default":{"default":"monoespacio r"}},"key":"1D69B"},{"category":"Ll","mappings":{"default":{"default":"monoespacio s"}},"key":"1D69C"},{"category":"Ll","mappings":{"default":{"default":"monoespacio t"}},"key":"1D69D"},{"category":"Ll","mappings":{"default":{"default":"monoespacio u"}},"key":"1D69E"},{"category":"Ll","mappings":{"default":{"default":"monoespacio v"}},"key":"1D69F"},{"category":"Ll","mappings":{"default":{"default":"monoespacio w"}},"key":"1D6A0"},{"category":"Ll","mappings":{"default":{"default":"monoespacio x"}},"key":"1D6A1"},{"category":"Ll","mappings":{"default":{"default":"monoespacio y"}},"key":"1D6A2"},{"category":"Ll","mappings":{"default":{"default":"monoespacio z"}},"key":"1D6A3"}]
+"es/symbols/math_symbols.js": 
+[{"locale":"es"},{"key":"0021","mappings":{"default":{"default":"factorial"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"comillas"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"almuhadilla","defaultMP":"signo de número"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"dólar"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"porciento"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"ampersand"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"prima","defaultMP":"apóstrofo"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"por"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"más"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"coma"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"key":"002E","mappings":{"default":{"default":"punto"}},"category":"Po"},{"key":"002F","mappings":{"default":{"default":"barra oblicua"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"dos puntos"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"punto y coma"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"menor que"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"igual"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"mayor que"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"interrogación derecho","defaultMP":"cierra interrogación"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"arroba"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"barra inversa"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circunflejo"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"subrayado"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"acento grave"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"admiración izquierdo","defaultMP":"abre admiración"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"centavo"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"libra esterlina"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"moneda"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"barra vertical partida"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"sección"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"diéresis"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"ordinal femenino"}},"category":"Lo"},{"key":"00AB","mappings":{"default":{"default":"comillas angulares izquierda","defaultMP":"abre comillas angulares"}},"category":"Pi"},{"key":"00AC","mappings":{"default":{"default":"negación"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"registrado"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"barra"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"grado"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"más menos"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"acento agudo"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"micro"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"párrafo"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"punto medio"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"cedilla"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"ordinal masculino"}},"category":"Lo"},{"key":"00BB","mappings":{"default":{"default":"comillas angulares derecha","defaultMP":"cierra comillas angulares"}},"category":"Pf"},{"key":"00BF","mappings":{"default":{"default":"interrogación izquierdo","defaultMP":"abre interrogación"}},"category":"Po"},{"key":"00D7","mappings":{"default":{"default":"por"}},"category":"Sm"},{"key":"00F7","mappings":{"default":{"default":"dividido"}},"category":"Sm"},{"key":"02D8","mappings":{"default":{"default":"breve"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"punto en superescrito"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"anillo en superescrito"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"doble acento agudo"}},"category":"Sk"},{"key":"2010","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"category":"Pd","key":"2011","mappings":{"default":{"default":"guión no rompible"}}},{"category":"Pd","key":"2012","mappings":{"default":{"default":"figura Dash"}}},{"key":"2013","mappings":{"default":{"default":"en raya"}},"category":"Pd"},{"key":"2014","mappings":{"default":{"default":"em raya"}},"category":"Pd"},{"key":"2015","mappings":{"default":{"default":"barra horizontal"}},"category":"Pd"},{"key":"2016","mappings":{"default":{"default":"doble barra vertical"}},"category":"Po"},{"category":"Po","key":"2017","mappings":{"default":{"default":"línea baja doble"}}},{"key":"2018","mappings":{"default":{"default":"comilla izquierda"}},"category":"Pi"},{"key":"2019","mappings":{"default":{"default":"comilla derecha"}},"category":"Pf"},{"key":"201A","mappings":{"default":{"default":"comilla bajo 9"}},"category":"Ps"},{"category":"Pi","key":"201B","mappings":{"default":{"default":"marca de comillas simple con inversión alta-9"}}},{"key":"201C","mappings":{"default":{"default":"doble comilla"}},"category":"Pi"},{"key":"201D","mappings":{"default":{"default":"doble comilla derecha"}},"category":"Pf"},{"key":"201E","mappings":{"default":{"default":"doble comilla bajo 9"}},"category":"Ps"},{"category":"Pi","key":"201F","mappings":{"default":{"default":"doble alto-invertido-9 comillas"}}},{"key":"2020","mappings":{"default":{"default":"daga"}},"category":"Po"},{"key":"2021","mappings":{"default":{"default":"doble daga"}},"category":"Po"},{"key":"2022","mappings":{"default":{"default":"bala"}},"category":"Po"},{"category":"Po","key":"2023","mappings":{"default":{"default":"bala triangular"}}},{"category":"Po","key":"2024","mappings":{"default":{"default":"líder de un punto"}}},{"key":"2025","mappings":{"default":{"default":"dos puntos líder"}},"category":"Po"},{"key":"2026","mappings":{"default":{"default":"puntos suspensivos"}},"category":"Po"},{"category":"Po","key":"2027","mappings":{"default":{"default":"punto de separación"}}},{"key":"2030","mappings":{"default":{"default":"tanto por millar"}},"category":"Po"},{"key":"2031","mappings":{"default":{"default":"tanto por diez mil"}},"category":"Po"},{"key":"2032","mappings":{"default":{"default":"prima"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"segunda"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"tercera"}},"category":"Po"},{"key":"2035","mappings":{"default":{"default":"acento grave"}},"category":"Po"},{"key":"2036","mappings":{"default":{"default":"doble acento grave"}},"category":"Po"},{"category":"Po","key":"2037","mappings":{"default":{"default":"prime Prime invertido"}}},{"category":"Po","key":"2038","mappings":{"default":{"default":"signo de intercalación"}}},{"key":"2039","mappings":{"default":{"default":"comillas izquierda","defaultMP":"abre comillas"}},"category":"Pi"},{"key":"203A","mappings":{"default":{"default":"comillas derecha","defaultMP":"cierra comillas"}},"category":"Pf"},{"category":"Po","key":"203B","mappings":{"default":{"default":"marca de referencia"}}},{"category":"Po","key":"203C","mappings":{"default":{"default":"doble signo de exclamación"}}},{"category":"Po","key":"203D","mappings":{"default":{"default":"interrobang"}}},{"key":"203E","mappings":{"default":{"default":"barra superior"}},"category":"Po"},{"category":"Pc","key":"203F","mappings":{"default":{"default":"undertie"}}},{"key":"2040","mappings":{"default":{"default":"ligadura"}},"category":"Pc"},{"key":"2041","mappings":{"default":{"default":"punto de inserción"}},"category":"Po"},{"category":"Po","key":"2042","mappings":{"default":{"default":"asterismo"}}},{"key":"2043","mappings":{"default":{"default":"guión bala"}},"category":"Po"},{"key":"2044","mappings":{"default":{"default":"barra de fracción"}},"category":"Sm"},{"category":"Po","key":"2047","mappings":{"default":{"default":"doble signo de interrogación"}}},{"category":"Po","key":"2048","mappings":{"default":{"default":"pregunta Signo de exclamación"}}},{"category":"Po","key":"2049","mappings":{"default":{"default":"signo de interrogación de exclamación"}}},{"category":"Po","key":"204B","mappings":{"default":{"default":"signo de Pilcrow invertido"}}},{"category":"Po","key":"204C","mappings":{"default":{"default":"bala negra hacia la izquierda"}}},{"category":"Po","key":"204D","mappings":{"default":{"default":"bala negra hacia la derecha"}}},{"category":"Po","key":"204E","mappings":{"default":{"default":"bajo asterisco"}}},{"key":"204F","mappings":{"default":{"default":"punto y coma invertido"}},"category":"Po"},{"key":"2050","mappings":{"default":{"default":"cierre superior"}},"category":"Po"},{"category":"Po","key":"2051","mappings":{"default":{"default":"dos asteriscos alineados verticalmente"}}},{"category":"Sm","key":"2052","mappings":{"default":{"default":"signo de menos comercial"}}},{"category":"Po","key":"2053","mappings":{"default":{"default":"swung Dash"}}},{"category":"Pc","key":"2054","mappings":{"default":{"default":"ropa interior invertida"}}},{"category":"Po","key":"2055","mappings":{"default":{"default":"signo de puntuación de la flor"}}},{"category":"Po","key":"2056","mappings":{"default":{"default":"puntuación de tres puntos"}}},{"key":"2057","mappings":{"default":{"default":"cuarta"}},"category":"Po"},{"category":"Po","key":"2058","mappings":{"default":{"default":"puntuación de cuatro puntos"}}},{"category":"Po","key":"2059","mappings":{"default":{"default":"puntuación de cinco puntos"}}},{"category":"Po","key":"205A","mappings":{"default":{"default":"puntuación de dos puntos"}}},{"category":"Po","key":"205B","mappings":{"default":{"default":"marca de cuatro puntos"}}},{"category":"Po","key":"205C","mappings":{"default":{"default":"cruz punteada"}}},{"category":"Po","key":"205D","mappings":{"default":{"default":"tricolon"}}},{"category":"Po","key":"205E","mappings":{"default":{"default":"cuatro puntos verticales"}}},{"category":"Sm","key":"207A","mappings":{"default":{"default":"superscript Plus Sign"}}},{"category":"Sm","key":"207B","mappings":{"default":{"default":"superíndice menos"}}},{"category":"Sm","key":"207C","mappings":{"default":{"default":"superscript Equals Sign"}}},{"category":"Ps","key":"207D","mappings":{"default":{"default":"paréntesis izquierdo superíndice"}}},{"category":"Pe","key":"207E","mappings":{"default":{"default":"paréntesis derecho superíndice"}}},{"category":"Sm","key":"208A","mappings":{"default":{"default":"signo de subíndice más"}}},{"category":"Sm","key":"208B","mappings":{"default":{"default":"subíndice menos"}}},{"category":"Sm","key":"208C","mappings":{"default":{"default":"signo de subíndice es igual"}}},{"category":"Ps","key":"208D","mappings":{"default":{"default":"subíndice paréntesis izquierdo"}}},{"category":"Pe","key":"208E","mappings":{"default":{"default":"subíndice de paréntesis derecho"}}},{"category":"So","key":"214A","mappings":{"default":{"default":"línea de propiedad"}}},{"category":"Sm","key":"214B","mappings":{"default":{"default":"ampersand convertido"}}},{"category":"So","key":"214C","mappings":{"default":{"default":"por signo"}}},{"category":"So","key":"214D","mappings":{"default":{"default":"aktieselskab"}}},{"category":"Ll","key":"214E","mappings":{"default":{"default":"torneado pequeño f"}}},{"key":"2200","mappings":{"default":{"default":"para todo"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"complementario"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"existe"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"no existe"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"conjunto vacío"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"incremento"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"no perteneciente a"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"no comprende a"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"fin de demostración"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"producto"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"sumatorio"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"menos más"}},"category":"Sm"},{"key":"2214","mappings":{"default":{"default":"punto más"}},"category":"Sm"},{"key":"2215","mappings":{"default":{"default":"barra de división"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"asterisco"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"composición"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"bala"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"raíz"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"raíz cúbica"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"raíz cuarta"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proporcional a"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"infinito"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"ángulo recto"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"ángulo"}},"category":"Sm"},{"key":"2221","mappings":{"default":{"default":"ángulo medido"}},"category":"Sm"},{"key":"2222","mappings":{"default":{"default":"ángulo esférico"}},"category":"Sm"},{"key":"2223","mappings":{"default":{"default":"divide a"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"no divide a"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"paralela a"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"no paralela a"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"integral"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"integral doble"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"integral triple"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"integral de contorno"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"integral de superficie"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"integral de volumen"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"integral de contorno en sentido antihorario"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"por lo tanto"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"porque"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"razón"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"proporción"}},"category":"Sm"},{"key":"2238","mappings":{"default":{"default":"punto menos"}},"category":"Sm"},{"key":"2239","mappings":{"default":{"default":"exceso"}},"category":"Sm"},{"key":"223A","mappings":{"default":{"default":"proporción geométrica"}},"category":"Sm"},{"key":"223B","mappings":{"default":{"default":"homotecia"}},"category":"Sm"},{"key":"223C","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"223D","mappings":{"default":{"default":"tilde invertido"}},"category":"Sm"},{"key":"223E","mappings":{"default":{"default":"s horizontal invertida"}},"category":"Sm"},{"key":"223F","mappings":{"default":{"default":"sinusoide"}},"category":"Sm"},{"key":"2240","mappings":{"default":{"default":"producto de guirnalda"}},"category":"Sm"},{"key":"2241","mappings":{"default":{"default":"no tilde"}},"category":"Sm"},{"key":"2242","mappings":{"default":{"default":"menos tilde"}},"category":"Sm"},{"key":"2243","mappings":{"default":{"default":"asintóticamente igual a"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"no asintóticamente igual a"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"aproximadamente igual a"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"aproximado pero no igual a"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"no aproximado a"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"aproximado","defaultMP":"casi igual a"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"no es casi igual a"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"igual o casi igual a"}},"category":"Sm"},{"key":"224B","mappings":{"default":{"default":"triple tilde"}},"category":"Sm"},{"key":"224C","mappings":{"default":{"default":"todo igual a"}},"category":"Sm"},{"key":"224D","mappings":{"default":{"default":"equivalente a"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"geométricamente equivalente a"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"se acerca al límite"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"geométricamente igual a"}},"category":"Sm"},{"key":"2252","mappings":{"default":{"default":"aproximadamente igual a o imagen de"}},"category":"Sm"},{"key":"2253","mappings":{"default":{"default":"imagen de o aproximadamente igual a"}},"category":"Sm"},{"key":"2254","mappings":{"default":{"default":"dos puntos igual"}},"category":"Sm"},{"key":"2255","mappings":{"default":{"default":"igual dos puntos"}},"category":"Sm"},{"key":"2256","mappings":{"default":{"default":"igual incluyendo anillo"}},"category":"Sm"},{"key":"2257","mappings":{"default":{"default":"igual anillo a"}},"category":"Sm"},{"key":"2258","mappings":{"default":{"default":"corresponde a"}},"category":"Sm"},{"key":"2259","mappings":{"default":{"default":"estima a"}},"category":"Sm"},{"key":"225A","mappings":{"default":{"default":"equiangular con"}},"category":"Sm"},{"key":"225B","mappings":{"default":{"default":"igual con estrella"}},"category":"Sm"},{"key":"225C","mappings":{"default":{"default":"igual con delta"}},"category":"Sm"},{"key":"225D","mappings":{"default":{"default":"igual por definición a"}},"category":"Sm"},{"key":"225E","mappings":{"default":{"default":"medido por"}},"category":"Sm"},{"key":"225F","mappings":{"default":{"default":"igual con interrogante"}},"category":"Sm"},{"key":"2260","mappings":{"default":{"default":"no es igual a","defaultMP":"distinto de"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"idéntico a"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"no es idéntico a"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"estrictamente equivalente a"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"entre"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"no equivalente a"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"no menor que"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"no mayor que"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"no menor ni igual a"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"no mayor ni igual a"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"menor o equivalente a"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"mayor o equivalente a"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"no menor ni equivalente a"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"no mayor ni equivalente a"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"menor o mayor que"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"no menor ni mayor que"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"no mayor ni menor que"}},"category":"Sm"},{"key":"227A","mappings":{"default":{"default":"precede a"}},"category":"Sm"},{"key":"227B","mappings":{"default":{"default":"sigue a"}},"category":"Sm"},{"key":"227C","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"227D","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"227E","mappings":{"default":{"default":"precede o es equivalente a"}},"category":"Sm"},{"key":"227F","mappings":{"default":{"default":"sigue o es equivalente a"}},"category":"Sm"},{"key":"2280","mappings":{"default":{"default":"no precede a"}},"category":"Sm"},{"key":"2281","mappings":{"default":{"default":"no sigue a"}},"category":"Sm"},{"key":"2282","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"2283","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"2284","mappings":{"default":{"default":"no incluido en"}},"category":"Sm"},{"key":"2285","mappings":{"default":{"default":"no contiene a"}},"category":"Sm"},{"key":"2286","mappings":{"default":{"default":"incluido o igual a"}},"category":"Sm"},{"key":"2287","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"2288","mappings":{"default":{"default":"no incluido ni igual a"}},"category":"Sm"},{"key":"2289","mappings":{"default":{"default":"no contiene ni es igual a"}},"category":"Sm"},{"key":"228A","mappings":{"default":{"default":"incluido estrictamente en"}},"category":"Sm"},{"key":"228B","mappings":{"default":{"default":"contiene estrictamente a"}},"category":"Sm"},{"key":"228C","mappings":{"default":{"default":"familia de conjuntos"}},"category":"Sm"},{"key":"228D","mappings":{"default":{"default":"producto de familia de conjuntos"}},"category":"Sm"},{"key":"228E","mappings":{"default":{"default":"unión de familia de conjuntos"}},"category":"Sm"},{"key":"228F","mappings":{"default":{"default":"imagen cuadrada de"}},"category":"Sm"},{"key":"2290","mappings":{"default":{"default":"original cuadrado de"}},"category":"Sm"},{"key":"2291","mappings":{"default":{"default":"imagen cuadrada de o igual a"}},"category":"Sm"},{"key":"2292","mappings":{"default":{"default":"original cuadrado de o igual a"}},"category":"Sm"},{"key":"2293","mappings":{"default":{"default":"intersección cuadrada"}},"category":"Sm"},{"key":"2294","mappings":{"default":{"default":"unión cuadrada"}},"category":"Sm"},{"key":"2295","mappings":{"default":{"default":"más en círculo"}},"category":"Sm"},{"key":"2296","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"2297","mappings":{"default":{"default":"por en círculo"}},"category":"Sm"},{"key":"2298","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"2299","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"229A","mappings":{"default":{"default":"anillo en círculo"}},"category":"Sm"},{"key":"229B","mappings":{"default":{"default":"asterisco en círculo"}},"category":"Sm"},{"key":"229C","mappings":{"default":{"default":"igual en círculo"}},"category":"Sm"},{"key":"229D","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"229E","mappings":{"default":{"default":"más en cuadrado"}},"category":"Sm"},{"key":"229F","mappings":{"default":{"default":"menos en cuadrado"}},"category":"Sm"},{"key":"22A0","mappings":{"default":{"default":"veces en cuadrado"}},"category":"Sm"},{"key":"22A1","mappings":{"default":{"default":"punto en cuadrado"}},"category":"Sm"},{"key":"22A2","mappings":{"default":{"default":"t horizontal hacia la izquierda"}},"category":"Sm"},{"key":"22A3","mappings":{"default":{"default":"t horizontal hacia la derecha"}},"category":"Sm"},{"key":"22A4","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"22A5","mappings":{"default":{"default":"perpendicular invertida"}},"category":"Sm"},{"key":"22A6","mappings":{"default":{"default":"afirmación"}},"category":"Sm"},{"key":"22A7","mappings":{"default":{"default":"modela"}},"category":"Sm"},{"key":"22A8","mappings":{"default":{"default":"verdadero"}},"category":"Sm"},{"key":"22A9","mappings":{"default":{"default":"obliga"}},"category":"Sm"},{"key":"22AA","mappings":{"default":{"default":"triple barra vertical torniquete derecho"}},"category":"Sm"},{"key":"22AB","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho"}},"category":"Sm"},{"key":"22AC","mappings":{"default":{"default":"no prueba"}},"category":"Sm"},{"key":"22AD","mappings":{"default":{"default":"falso"}},"category":"Sm"},{"key":"22AE","mappings":{"default":{"default":"no obliga"}},"category":"Sm"},{"key":"22AF","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho negada"}},"category":"Sm"},{"key":"22B0","mappings":{"default":{"default":"precede respecto de"}},"category":"Sm"},{"key":"22B1","mappings":{"default":{"default":"sigue respecto de"}},"category":"Sm"},{"key":"22B2","mappings":{"default":{"default":"subgrupo normal de"}},"category":"Sm"},{"key":"22B3","mappings":{"default":{"default":"contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22B4","mappings":{"default":{"default":"subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B5","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B6","mappings":{"default":{"default":"original de"}},"category":"Sm"},{"key":"22B7","mappings":{"default":{"default":"imagen de"}},"category":"Sm"},{"key":"22B8","mappings":{"default":{"default":"multifunción"}},"category":"Sm"},{"key":"22B9","mappings":{"default":{"default":"matriz hermitiana conjugada"}},"category":"Sm"},{"key":"22BA","mappings":{"default":{"default":"interpola"}},"category":"Sm"},{"key":"22BB","mappings":{"default":{"default":"o excluyente"}},"category":"Sm"},{"key":"22BC","mappings":{"default":{"default":"no y"}},"category":"Sm"},{"key":"22BD","mappings":{"default":{"default":"no o"}},"category":"Sm"},{"key":"22BF","mappings":{"default":{"default":"triángulo rectángulo"}},"category":"Sm"},{"key":"22C0","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"22C1","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"22C2","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"22C3","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"22C4","mappings":{"default":{"default":"operador diamante"}},"category":"Sm"},{"key":"22C5","mappings":{"default":{"default":"punto"}},"category":"Sm"},{"key":"22C6","mappings":{"default":{"default":"estrella"}},"category":"Sm"},{"key":"22C7","mappings":{"default":{"default":"dividido por"}},"category":"Sm"},{"key":"22C8","mappings":{"default":{"default":"moño"}},"category":"Sm"},{"key":"22C9","mappings":{"default":{"default":"factor normal izquierdo producto semidirecto"}},"category":"Sm"},{"key":"22CA","mappings":{"default":{"default":"factor normal derecho producto semidirecto"}},"category":"Sm"},{"key":"22CB","mappings":{"default":{"default":"producto semidirecto izquierdo"}},"category":"Sm"},{"key":"22CC","mappings":{"default":{"default":"producto semidirecto derecho"}},"category":"Sm"},{"key":"22CD","mappings":{"default":{"default":"tilde invertida igual a"}},"category":"Sm"},{"key":"22CE","mappings":{"default":{"default":"o rizada"}},"category":"Sm"},{"key":"22CF","mappings":{"default":{"default":"y rizada"}},"category":"Sm"},{"key":"22D0","mappings":{"default":{"default":"doble incluido"}},"category":"Sm"},{"key":"22D1","mappings":{"default":{"default":"doble contiene"}},"category":"Sm"},{"key":"22D2","mappings":{"default":{"default":"doble intersección"}},"category":"Sm"},{"key":"22D3","mappings":{"default":{"default":"doble unión"}},"category":"Sm"},{"key":"22D4","mappings":{"default":{"default":"bieldo"}},"category":"Sm"},{"key":"22D5","mappings":{"default":{"default":"paralela o igual a"}},"category":"Sm"},{"key":"22D6","mappings":{"default":{"default":"menor que con punto"}},"category":"Sm"},{"key":"22D7","mappings":{"default":{"default":"mayor que con punto"}},"category":"Sm"},{"key":"22D8","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"22D9","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"22DA","mappings":{"default":{"default":"menor igual o mayor que"}},"category":"Sm"},{"key":"22DB","mappings":{"default":{"default":"mayor igual o menor que"}},"category":"Sm"},{"key":"22DC","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"22DD","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"22DE","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"22DF","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"22E0","mappings":{"default":{"default":"no precede ni es igual a"}},"category":"Sm"},{"key":"22E1","mappings":{"default":{"default":"no sigue ni es igual a"}},"category":"Sm"},{"key":"22E2","mappings":{"default":{"default":"no es imagen cuadrada ni igual a"}},"category":"Sm"},{"key":"22E3","mappings":{"default":{"default":"no es original cuadrada ni igual a"}},"category":"Sm"},{"key":"22E4","mappings":{"default":{"default":"imagen cuadrada estricta"}},"category":"Sm"},{"key":"22E5","mappings":{"default":{"default":"original cuadrada estricta"}},"category":"Sm"},{"key":"22E6","mappings":{"default":{"default":"menor que no equivalente a"}},"category":"Sm"},{"key":"22E7","mappings":{"default":{"default":"mayor que no equivalente a"}},"category":"Sm"},{"key":"22E8","mappings":{"default":{"default":"precede no equivalente a"}},"category":"Sm"},{"key":"22E9","mappings":{"default":{"default":"sigue no equivalente a"}},"category":"Sm"},{"key":"22EA","mappings":{"default":{"default":"no subgrupo normal de"}},"category":"Sm"},{"key":"22EB","mappings":{"default":{"default":"no contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22EC","mappings":{"default":{"default":"no es subgrupo normal ni igual a"}},"category":"Sm"},{"key":"22ED","mappings":{"default":{"default":"no contiene como subgrupo normal ni es igual a"}},"category":"Sm"},{"key":"22EE","mappings":{"default":{"default":"puntos suspensivos verticales"}},"category":"Sm"},{"key":"22EF","mappings":{"default":{"default":"puntos suspensivos altos"}},"category":"Sm"},{"key":"22F0","mappings":{"default":{"default":"puntos suspensivos diagonales subiendo"}},"category":"Sm"},{"key":"22F1","mappings":{"default":{"default":"puntos suspensivos diagonales bajando"}},"category":"Sm"},{"key":"22F2","mappings":{"default":{"default":"pertenece con trazo horizontal"}},"category":"Sm"},{"key":"22F3","mappings":{"default":{"default":"pertenece con barra vertical al fin de raya horizontal"}},"category":"Sm"},{"key":"22F4","mappings":{"default":{"default":"pertenece en pequeño con trazo vertical"}},"category":"Sm"},{"key":"22F5","mappings":{"default":{"default":"pertenece con punto arriba"}},"category":"Sm"},{"key":"22F6","mappings":{"default":{"default":"pertenece con barra arriba"}},"category":"Sm"},{"key":"22F7","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F8","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F9","mappings":{"default":{"default":"pertenece con dos trazos horizontales"}},"category":"Sm"},{"key":"22FA","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"22FB","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FC","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FD","mappings":{"default":{"default":"contiene con barra"}},"category":"Sm"},{"key":"22FE","mappings":{"default":{"default":"perteneciente con barra"}},"category":"Sm"},{"key":"22FF","mappings":{"default":{"default":"z anotación asociación de bolsa"}},"category":"Sm"},{"key":"2300","mappings":{"default":{"default":"diámetro"}},"category":"So"},{"key":"2302","mappings":{"default":{"default":"casa"}},"category":"So"},{"key":"2305","mappings":{"default":{"default":"en proyectividad con"}},"category":"So"},{"key":"2306","mappings":{"default":{"default":"en perspectividad con"}},"category":"So"},{"category":"So","key":"2307","mappings":{"default":{"default":"línea ondulada"}}},{"key":"2310","mappings":{"default":{"default":"no invertido"}},"category":"So"},{"category":"So","key":"2311","mappings":{"default":{"default":"pastillas cuadradas"}}},{"key":"2312","mappings":{"default":{"default":"arco"}},"category":"So"},{"key":"2313","mappings":{"default":{"default":"segmento"}},"category":"So"},{"category":"So","key":"2314","mappings":{"default":{"default":"sector"}}},{"category":"So","key":"2795","mappings":{"default":{"default":"signo más pesado"}}},{"category":"So","key":"2796","mappings":{"default":{"default":"signo menos pesado"}}},{"category":"So","key":"2797","mappings":{"default":{"default":"signo de la división pesada"}}},{"category":"So","key":"27B0","mappings":{"default":{"default":"bucle rizado"}}},{"category":"So","key":"27BF","mappings":{"default":{"default":"doble bucle rizado"}}},{"key":"27C1","mappings":{"default":{"default":"triángulo encerrando triángulo"}},"category":"Sm"},{"key":"27C2","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27C3","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"27C4","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"27C7","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"27C8","mappings":{"default":{"default":"atrás tajo antes de subconjunto"}},"category":"Sm"},{"key":"27C9","mappings":{"default":{"default":"sobreconjunto antes de tajo"}},"category":"Sm"},{"key":"27CA","mappings":{"default":{"default":"barra vertical con golpe horizontal"}},"category":"Sm"},{"category":"Sm","key":"27CB","mappings":{"default":{"default":"diagonal matemático de levantamiento"}}},{"key":"27CC","mappings":{"default":{"default":"división larga"}},"category":"Sm"},{"category":"Sm","key":"27CD","mappings":{"default":{"default":"diagonal descendente matemática"}}},{"category":"Sm","key":"27CE","mappings":{"default":{"default":"cuadrado Lógico Y"}}},{"category":"Sm","key":"27CF","mappings":{"default":{"default":"cuadrado Lógico O"}}},{"category":"Sm","key":"27D0","mappings":{"default":{"default":"diamante blanco con punto centrado"}}},{"key":"27D1","mappings":{"default":{"default":"y con punto interior"}},"category":"Sm"},{"key":"27D2","mappings":{"default":{"default":"elemento de apertura hacia arriba"}},"category":"Sm"},{"key":"27D3","mappings":{"default":{"default":"ángulo inferior derecho con punto"}},"category":"Sm"},{"key":"27D4","mappings":{"default":{"default":"ángulo inferior izquierdo con punto"}},"category":"Sm"},{"key":"27D5","mappings":{"default":{"default":"izquierdo exterior une"}},"category":"Sm"},{"key":"27D6","mappings":{"default":{"default":"derecho exterior une"}},"category":"Sm"},{"key":"27D7","mappings":{"default":{"default":"lleno exterior une"}},"category":"Sm"},{"key":"27D8","mappings":{"default":{"default":"perpendicular inversa"}},"category":"Sm"},{"key":"27D9","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27DA","mappings":{"default":{"default":"izquierdo y derecho doble torniquete"}},"category":"Sm"},{"key":"27DB","mappings":{"default":{"default":"doble T horizontal"}},"category":"Sm"},{"key":"27DC","mappings":{"default":{"default":"multifunción por la izquierda"}},"category":"Sm"},{"key":"27DD","mappings":{"default":{"default":"t horizontal derecha larga"}},"category":"Sm"},{"key":"27DE","mappings":{"default":{"default":"t horizontal izquierda larga"}},"category":"Sm"},{"key":"27DF","mappings":{"default":{"default":"perpendicular inversa con círculo arriba"}},"category":"Sm"},{"key":"27E0","mappings":{"default":{"default":"pastilla dividida por regla horizontal"}},"category":"Sm"},{"key":"27E1","mappings":{"default":{"default":"diamante cóncavo vacío"}},"category":"Sm"},{"key":"27E2","mappings":{"default":{"default":"diamante cóncavo con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E3","mappings":{"default":{"default":"diamante cóncavo con tictac hacia derecha"}},"category":"Sm"},{"key":"27E4","mappings":{"default":{"default":"cuadrado con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E5","mappings":{"default":{"default":"cuadrado con tictac hacia derecha"}},"category":"Sm"},{"category":"Sm","key":"292B","mappings":{"default":{"default":"cruce en diagonal Cruce en diagonal Caída en diagonal"}}},{"category":"Sm","key":"292C","mappings":{"default":{"default":"diagonal descendente Cruce diagonal ascendente"}}},{"category":"Sm","key":"2980","mappings":{"default":{"default":"delimitador de barra vertical triple"}}},{"category":"Sm","key":"2981","mappings":{"default":{"default":"punto de notación Z"}}},{"category":"Sm","key":"2982","mappings":{"default":{"default":"tipo de notación Z Colon"}}},{"category":"Sm","key":"2999","mappings":{"default":{"default":"valla punteada"}}},{"key":"299A","mappings":{"default":{"default":"zigzag en vertical"}},"category":"Sm"},{"key":"29B0","mappings":{"default":{"default":"conjunto vacío invertido"}},"category":"Sm"},{"key":"29B1","mappings":{"default":{"default":"conjunto vacío con barra"}},"category":"Sm"},{"key":"29B2","mappings":{"default":{"default":"conjunto vacío con círculo"}},"category":"Sm"},{"key":"29B5","mappings":{"default":{"default":"círculo con barra"}},"category":"Sm"},{"key":"29B6","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"29B7","mappings":{"default":{"default":"paralelas en círculo"}},"category":"Sm"},{"category":"Sm","key":"29B8","mappings":{"default":{"default":"círculo inverso solidus"}}},{"key":"29B9","mappings":{"default":{"default":"perpendicular en círculo"}},"category":"Sm"},{"category":"Sm","key":"29BA","mappings":{"default":{"default":"círculo dividido por barra horizontal y mitad superior dividido por barra vertical"}}},{"key":"29BB","mappings":{"default":{"default":"x superimpresa en círculo"}},"category":"Sm"},{"key":"29BC","mappings":{"default":{"default":"circled anticlockwise rotated division"}},"category":"Sm"},{"key":"29BE","mappings":{"default":{"default":"bullet vacía en círculo"}},"category":"Sm"},{"key":"29BF","mappings":{"default":{"default":"bullet en círculo"}},"category":"Sm"},{"key":"29C0","mappings":{"default":{"default":"menor que en círculo"}},"category":"Sm"},{"key":"29C1","mappings":{"default":{"default":"mayor que en círculo"}},"category":"Sm"},{"key":"29C2","mappings":{"default":{"default":"círculo con círculo a la derecha"}},"category":"Sm"},{"key":"29C3","mappings":{"default":{"default":"circle with two horizontal strokes to the right"}},"category":"Sm"},{"key":"29C4","mappings":{"default":{"default":"cuadrado con diagonal ascendente"}},"category":"Sm"},{"key":"29C5","mappings":{"default":{"default":"cuadrado con diagonal descendente"}},"category":"Sm"},{"category":"Sm","key":"29C6","mappings":{"default":{"default":"asterisco cuadrado"}}},{"category":"Sm","key":"29C7","mappings":{"default":{"default":"pequeño círculo cuadrado"}}},{"category":"Sm","key":"29C8","mappings":{"default":{"default":"cuadrado cuadrado"}}},{"key":"29C9","mappings":{"default":{"default":"dos cuadrados unidos"}},"category":"Sm"},{"category":"Sm","key":"29CA","mappings":{"default":{"default":"triángulo con punto arriba"}}},{"category":"Sm","key":"29CB","mappings":{"default":{"default":"triángulo con barra inferior"}}},{"category":"Sm","key":"29CC","mappings":{"default":{"default":"s en triangulo"}}},{"key":"29CD","mappings":{"default":{"default":"triangle with serifs at bottom"}},"category":"Sm"},{"key":"29CE","mappings":{"default":{"default":"triángulo hacia la derecha sobre triángulo hacia la izquierda"}},"category":"Sm"},{"key":"29CF","mappings":{"default":{"default":"subgrupo normal o igual a"}},"category":"Sm"},{"key":"29D0","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"category":"Sm","key":"29D1","mappings":{"default":{"default":"pajarita Con Mitad Izquierda Negra"}}},{"category":"Sm","key":"29D2","mappings":{"default":{"default":"pajarita Con Mitad Derecha Negra"}}},{"category":"Sm","key":"29D3","mappings":{"default":{"default":"pajarita Negra"}}},{"category":"Sm","key":"29D4","mappings":{"default":{"default":"tiempos con Mitad Izquierda Negra"}}},{"category":"Sm","key":"29D5","mappings":{"default":{"default":"tiempos con la mitad derecha negra"}}},{"category":"Sm","key":"29D6","mappings":{"default":{"default":"reloj de arena blanco"}}},{"category":"Sm","key":"29D7","mappings":{"default":{"default":"reloj de arena negro"}}},{"key":"29DC","mappings":{"default":{"default":"infinito incompleto"}},"category":"Sm"},{"category":"Sm","key":"29DD","mappings":{"default":{"default":"empate sobre el infinito"}}},{"key":"29DE","mappings":{"default":{"default":"no infinito"}},"category":"Sm"},{"category":"Sm","key":"29DF","mappings":{"default":{"default":"multimapa de doble extremo"}}},{"category":"Sm","key":"29E0","mappings":{"default":{"default":"cuadrado con contorno contorneado"}}},{"category":"Sm","key":"29E1","mappings":{"default":{"default":"aumenta como"}}},{"category":"Sm","key":"29E2","mappings":{"default":{"default":"shuffle Product"}}},{"key":"29E3","mappings":{"default":{"default":"igual tachado doble "}},"category":"Sm"},{"key":"29E4","mappings":{"default":{"default":"igual con tilde, con doble tachado"}},"category":"Sm"},{"key":"29E5","mappings":{"default":{"default":"idéntico a con doble tachado"}},"category":"Sm"},{"category":"Sm","key":"29E6","mappings":{"default":{"default":"gleich Stark"}}},{"category":"Sm","key":"29E7","mappings":{"default":{"default":"termodinamica"}}},{"category":"Sm","key":"29E8","mappings":{"default":{"default":"triángulo que apunta hacia abajo con la mitad izquierda negra"}}},{"category":"Sm","key":"29E9","mappings":{"default":{"default":"triángulo que apunta hacia abajo con la mitad derecha negra"}}},{"key":"29EB","mappings":{"default":{"default":"rombo relleno"}},"category":"Sm"},{"category":"Sm","key":"29EE","mappings":{"default":{"default":"plaza blanca con error"}}},{"category":"Sm","key":"29EF","mappings":{"default":{"default":"error en la Plaza Negra"}}},{"category":"Sm","key":"29F0","mappings":{"default":{"default":"error White Barred Diamond"}}},{"category":"Sm","key":"29F1","mappings":{"default":{"default":"error Black Barred Diamond"}}},{"category":"Sm","key":"29F2","mappings":{"default":{"default":"círculo blanco con error"}}},{"category":"Sm","key":"29F3","mappings":{"default":{"default":"círculo negro con barras de error"}}},{"key":"29F4","mappings":{"default":{"default":"rule delayed"}},"category":"Sm"},{"category":"Sm","key":"29F5","mappings":{"default":{"default":"operador de Solidus Inverso"}}},{"key":"29F6","mappings":{"default":{"default":"solidus with overbar"}},"category":"Sm"},{"category":"Sm","key":"29F7","mappings":{"default":{"default":"solidus inverso con trazo horizontal"}}},{"category":"Sm","key":"29F8","mappings":{"default":{"default":"sólido grande"}}},{"category":"Sm","key":"29F9","mappings":{"default":{"default":"sólido inverso grande"}}},{"category":"Sm","key":"29FA","mappings":{"default":{"default":"doble Plus"}}},{"category":"Sm","key":"29FB","mappings":{"default":{"default":"triple Plus"}}},{"category":"Sm","key":"29FE","mappings":{"default":{"default":"minúsculo"}}},{"category":"Sm","key":"29FF","mappings":{"default":{"default":"miny"}}},{"category":"Sm","key":"2A00","mappings":{"default":{"default":"operador de puntos circulares N-Ary"}}},{"category":"Sm","key":"2A01","mappings":{"default":{"default":"operador N-Ary Circled Plus"}}},{"category":"Sm","key":"2A02","mappings":{"default":{"default":"operador de los tiempos en círculo de N-Ary"}}},{"category":"Sm","key":"2A03","mappings":{"default":{"default":"operador de la unión N-Ary con punto"}}},{"category":"Sm","key":"2A04","mappings":{"default":{"default":"n-Ary Union Operator con Plus"}}},{"category":"Sm","key":"2A05","mappings":{"default":{"default":"operador de intersecciones cuadradas N-Ary"}}},{"category":"Sm","key":"2A06","mappings":{"default":{"default":"n-Ary Square Union Operator"}}},{"category":"Sm","key":"2A07","mappings":{"default":{"default":"dos lógico y operador"}}},{"category":"Sm","key":"2A08","mappings":{"default":{"default":"dos lógico u operador"}}},{"category":"Sm","key":"2A09","mappings":{"default":{"default":"operador de N-Ary Times"}}},{"category":"Sm","key":"2A0A","mappings":{"default":{"default":"modulo dos sumas"}}},{"category":"Sm","key":"2A0B","mappings":{"default":{"default":"suma con Integral"}}},{"key":"2A0C","mappings":{"default":{"default":"operador integral cuádruple"}},"category":"Sm"},{"key":"2A0D","mappings":{"default":{"default":"finite part integral"}},"category":"Sm"},{"category":"Sm","key":"2A0E","mappings":{"default":{"default":"integral con Doble Trazo"}}},{"category":"Sm","key":"2A0F","mappings":{"default":{"default":"promedio Integral con Slash"}}},{"key":"2A10","mappings":{"default":{"default":"circulation function"}},"category":"Sm"},{"key":"2A11","mappings":{"default":{"default":"integral en sentido antihorario"}},"category":"Sm"},{"key":"2A12","mappings":{"default":{"default":"integral lineal para rectángulo en polo"}},"category":"Sm"},{"key":"2A13","mappings":{"default":{"default":"integral lineal para semicírculo en polo"}},"category":"Sm"},{"key":"2A14","mappings":{"default":{"default":"integral lineal excluyendo el polo"}},"category":"Sm"},{"key":"2A15","mappings":{"default":{"default":"integral en torno de un punto operador"}},"category":"Sm"},{"key":"2A16","mappings":{"default":{"default":"operador integral para cuaterniones"}},"category":"Sm"},{"category":"Sm","key":"2A18","mappings":{"default":{"default":"integral con Times Sign"}}},{"category":"Sm","key":"2A19","mappings":{"default":{"default":"integral con Intersección"}}},{"category":"Sm","key":"2A1A","mappings":{"default":{"default":"integral con union"}}},{"category":"Sm","key":"2A1B","mappings":{"default":{"default":"integral con Overbar"}}},{"category":"Sm","key":"2A1C","mappings":{"default":{"default":"integral con barra inferior"}}},{"category":"Sm","key":"2A1D","mappings":{"default":{"default":"unirse"}}},{"category":"Sm","key":"2A1E","mappings":{"default":{"default":"operador de triángulo izquierdo grande"}}},{"category":"Sm","key":"2A1F","mappings":{"default":{"default":"composición de esquemas de notación Z"}}},{"category":"Sm","key":"2A20","mappings":{"default":{"default":"esquema de notación Z"}}},{"category":"Sm","key":"2A21","mappings":{"default":{"default":"proyección del esquema de notación Z"}}},{"key":"2A22","mappings":{"default":{"default":"más con círculo"}},"category":"Sm"},{"key":"2A23","mappings":{"default":{"default":"más con ángulo"}},"category":"Sm"},{"key":"2A24","mappings":{"default":{"default":"tilde con más suscrito"}},"category":"Sm"},{"key":"2A25","mappings":{"default":{"default":"más con punto inferior"}},"category":"Sm"},{"key":"2A26","mappings":{"default":{"default":"tilde con más"}},"category":"Sm"},{"key":"2A27","mappings":{"default":{"default":"más con 2 suscrito"}},"category":"Sm"},{"category":"Sm","key":"2A28","mappings":{"default":{"default":"signo más con triángulo negro"}}},{"key":"2A29","mappings":{"default":{"default":"menos con coma"}},"category":"Sm"},{"key":"2A2A","mappings":{"default":{"default":"menos con punto inferior"}},"category":"Sm"},{"category":"Sm","key":"2A2B","mappings":{"default":{"default":"signo menos con puntos que caen"}}},{"category":"Sm","key":"2A2C","mappings":{"default":{"default":"signo menos con puntos crecientes"}}},{"key":"2A2D","mappings":{"default":{"default":"más en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A2E","mappings":{"default":{"default":"más en semicírculo derecho"}},"category":"Sm"},{"key":"2A2F","mappings":{"default":{"default":"producto vectorial"}},"category":"Sm"},{"key":"2A30","mappings":{"default":{"default":"por con punto"}},"category":"Sm"},{"key":"2A31","mappings":{"default":{"default":"por con subrayado"}},"category":"Sm"},{"category":"Sm","key":"2A32","mappings":{"default":{"default":"producto semidirecto con fondo cerrado"}}},{"key":"2A33","mappings":{"default":{"default":"smash product"}},"category":"Sm"},{"key":"2A34","mappings":{"default":{"default":"por en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A35","mappings":{"default":{"default":"por en semicírculo derecho"}},"category":"Sm"},{"key":"2A36","mappings":{"default":{"default":"por en círculo con ángulo"}},"category":"Sm"},{"key":"2A37","mappings":{"default":{"default":"por en anillo"}},"category":"Sm"},{"key":"2A38","mappings":{"default":{"default":"división en círculo"}},"category":"Sm"},{"key":"2A39","mappings":{"default":{"default":"más en triángulo"}},"category":"Sm"},{"key":"2A3A","mappings":{"default":{"default":"menos en triángulo"}},"category":"Sm"},{"key":"2A3B","mappings":{"default":{"default":"por en triángulo"}},"category":"Sm"},{"key":"2A3C","mappings":{"default":{"default":"producto interior"}},"category":"Sm"},{"category":"Sm","key":"2A3D","mappings":{"default":{"default":"producto interior derecho"}}},{"category":"Sm","key":"2A3E","mappings":{"default":{"default":"notación Z Composición Relacional"}}},{"key":"2A3F","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2A40","mappings":{"default":{"default":"intersección con punto"}},"category":"Sm"},{"category":"Sm","key":"2A41","mappings":{"default":{"default":"unión con signo de menos"}}},{"key":"2A42","mappings":{"default":{"default":"unión con barra"}},"category":"Sm"},{"key":"2A43","mappings":{"default":{"default":"intersección con barra"}},"category":"Sm"},{"key":"2A44","mappings":{"default":{"default":"intersección con and"}},"category":"Sm"},{"key":"2A45","mappings":{"default":{"default":"unión con or"}},"category":"Sm"},{"key":"2A46","mappings":{"default":{"default":"unión sobre intersección"}},"category":"Sm"},{"key":"2A47","mappings":{"default":{"default":"intersección sobre unión"}},"category":"Sm"},{"key":"2A48","mappings":{"default":{"default":"unión sobre barra, sobre intersección"}},"category":"Sm"},{"key":"2A49","mappings":{"default":{"default":"intersección sobre barra, sobre unión "}},"category":"Sm"},{"key":"2A4A","mappings":{"default":{"default":"unión y unión"}},"category":"Sm"},{"key":"2A4B","mappings":{"default":{"default":"intersección e intersección"}},"category":"Sm"},{"key":"2A4C","mappings":{"default":{"default":"unión cerrada"}},"category":"Sm"},{"key":"2A4D","mappings":{"default":{"default":"intersección cerrada"}},"category":"Sm"},{"category":"Sm","key":"2A4E","mappings":{"default":{"default":"intersección cuadrada doble"}}},{"category":"Sm","key":"2A4F","mappings":{"default":{"default":"unión cuadrada doble"}}},{"key":"2A50","mappings":{"default":{"default":"unión cerrada con por"}},"category":"Sm"},{"category":"Sm","key":"2A51","mappings":{"default":{"default":"lógico y con punto arriba."}}},{"category":"Sm","key":"2A52","mappings":{"default":{"default":"lógico o con punto arriba"}}},{"key":"2A53","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2A55","mappings":{"default":{"default":"two intersecting logical and"}},"category":"Sm"},{"key":"2A56","mappings":{"default":{"default":"two intersecting logical or"}},"category":"Sm"},{"key":"2A57","mappings":{"default":{"default":"sloping large or"}},"category":"Sm"},{"key":"2A58","mappings":{"default":{"default":"sloping large and"}},"category":"Sm"},{"category":"Sm","key":"2A59","mappings":{"default":{"default":"lógica o superpuesta, lógica y"}}},{"key":"2A5A","mappings":{"default":{"default":"logical and with middle stem"}},"category":"Sm"},{"key":"2A5B","mappings":{"default":{"default":"logical or with middle stem"}},"category":"Sm"},{"key":"2A5C","mappings":{"default":{"default":"logical and with horizontal dash"}},"category":"Sm"},{"key":"2A5D","mappings":{"default":{"default":"logical or with horizontal dash"}},"category":"Sm"},{"category":"Sm","key":"2A5E","mappings":{"default":{"default":"lógica y con doble Overbar"}}},{"key":"2A5F","mappings":{"default":{"default":"logical and with underbar"}},"category":"Sm"},{"category":"Sm","key":"2A60","mappings":{"default":{"default":"lógica y con doble barra inferior."}}},{"category":"Sm","key":"2A61","mappings":{"default":{"default":"pequeño Vee con Underbar"}}},{"category":"Sm","key":"2A62","mappings":{"default":{"default":"lógica o con doble barra."}}},{"category":"Sm","key":"2A63","mappings":{"default":{"default":"lógica o con doble barra inferior"}}},{"category":"Sm","key":"2A64","mappings":{"default":{"default":"notación Z Dominio Antirestricción"}}},{"category":"Sm","key":"2A65","mappings":{"default":{"default":"rango de notación Z Antirestricción"}}},{"key":"2A66","mappings":{"default":{"default":"igual con punto suscrito"}},"category":"Sm"},{"category":"Sm","key":"2A67","mappings":{"default":{"default":"idéntico con punto arriba"}}},{"category":"Sm","key":"2A68","mappings":{"default":{"default":"triple barra horizontal con doble movimiento vertical"}}},{"category":"Sm","key":"2A69","mappings":{"default":{"default":"triple barra horizontal con triple movimiento vertical"}}},{"key":"2A6A","mappings":{"default":{"default":"tilde con punto"}},"category":"Sm"},{"category":"Sm","key":"2A6B","mappings":{"default":{"default":"operador de tilde con puntos crecientes"}}},{"category":"Sm","key":"2A6C","mappings":{"default":{"default":"similares menos similares"}}},{"key":"2A6D","mappings":{"default":{"default":"congruente con punto"}},"category":"Sm"},{"category":"Sm","key":"2A6E","mappings":{"default":{"default":"igual a Asterisco"}}},{"key":"2A6F","mappings":{"default":{"default":"casi igual con ángulo"}},"category":"Sm"},{"category":"Sm","key":"2A70","mappings":{"default":{"default":"aproximadamente igual o igual a"}}},{"key":"2A71","mappings":{"default":{"default":"igual con más suscrito"}},"category":"Sm"},{"key":"2A72","mappings":{"default":{"default":"igual con más"}},"category":"Sm"},{"key":"2A73","mappings":{"default":{"default":"igual con operador tilde"}},"category":"Sm"},{"key":"2A74","mappings":{"default":{"default":"igual con dos puntos"}},"category":"Sm"},{"key":"2A75","mappings":{"default":{"default":"igual doble"}},"category":"Sm"},{"category":"Sm","key":"2A76","mappings":{"default":{"default":"tres signos de igualdad consecutivos"}}},{"key":"2A77","mappings":{"default":{"default":"igual entre cuatro puntos"}},"category":"Sm"},{"key":"2A78","mappings":{"default":{"default":"equivalente con cuatro puntos"}},"category":"Sm"},{"key":"2A79","mappings":{"default":{"default":"menor que con círculo interior"}},"category":"Sm"},{"key":"2A7A","mappings":{"default":{"default":"mayor que con círculo interior"}},"category":"Sm"},{"key":"2A7B","mappings":{"default":{"default":"menor que con interrogante"}},"category":"Sm"},{"key":"2A7C","mappings":{"default":{"default":"mayor que con interrogante"}},"category":"Sm"},{"key":"2A7D","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2A7E","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"2A7F","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A80","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A81","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A82","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"key":"2A83","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A84","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"category":"Sm","key":"2A85","mappings":{"default":{"default":"menor que o aproximado"}}},{"category":"Sm","key":"2A86","mappings":{"default":{"default":"mayor que o aproximado"}}},{"category":"Sm","key":"2A87","mappings":{"default":{"default":"menor que una línea no es igual a"}}},{"category":"Sm","key":"2A88","mappings":{"default":{"default":"mayores y una sola línea no son iguales a"}}},{"key":"2A89","mappings":{"default":{"default":"menor que, pero no aproximado a"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"mayor que, pero no aproximado a"}},"category":"Sm"},{"category":"Sm","key":"2A8B","mappings":{"default":{"default":"menos que arriba de la doble línea igual por encima de mayor que"}}},{"category":"Sm","key":"2A8C","mappings":{"default":{"default":"más que arriba de la línea doble igual sobre menos que"}}},{"key":"2A8D","mappings":{"default":{"default":"menor, similar o igual a"}},"category":"Sm"},{"key":"2A8E","mappings":{"default":{"default":"mayor, similar o igual a"}},"category":"Sm"},{"key":"2A8F","mappings":{"default":{"default":"menor, similar o mayor que"}},"category":"Sm"},{"key":"2A90","mappings":{"default":{"default":"mayor, similar o menor que"}},"category":"Sm"},{"key":"2A91","mappings":{"default":{"default":"menor, mayor o igual a"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"mayor, menor o igual a"}},"category":"Sm"},{"key":"2A93","mappings":{"default":{"default":"estrictamente menor o mayor que"}},"category":"Sm"},{"key":"2A94","mappings":{"default":{"default":"estrictamente mayor o menor que"}},"category":"Sm"},{"category":"Sm","key":"2A95","mappings":{"default":{"default":"inclinado igual o menor que"}}},{"category":"Sm","key":"2A96","mappings":{"default":{"default":"inclinado igual o mayor que"}}},{"key":"2A97","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A98","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A99","mappings":{"default":{"default":"menor o igual a"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"mayor o igual a"}},"category":"Sm"},{"category":"Sm","key":"2A9B","mappings":{"default":{"default":"doble línea inclinada igual o menor que"}}},{"category":"Sm","key":"2A9C","mappings":{"default":{"default":"doble línea inclinada igual o mayor que"}}},{"key":"2A9D","mappings":{"default":{"default":"equivalente o menor que"}},"category":"Sm"},{"key":"2A9E","mappings":{"default":{"default":"mayor o similar a"}},"category":"Sm"},{"key":"2A9F","mappings":{"default":{"default":"similar, menor o igual a"}},"category":"Sm"},{"key":"2AA0","mappings":{"default":{"default":"similar, mayor o igual a"}},"category":"Sm"},{"key":"2AA1","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"category":"Sm","key":"2AA3","mappings":{"default":{"default":"doble anidada menor que con barra inferior"}}},{"key":"2AA4","mappings":{"default":{"default":"menor que, mayor que"}},"category":"Sm"},{"key":"2AA5","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2AA6","mappings":{"default":{"default":"menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA7","mappings":{"default":{"default":"mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AA8","mappings":{"default":{"default":"estrictamente menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA9","mappings":{"default":{"default":"estrictamente mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AAA","mappings":{"default":{"default":"más reducido que"}},"category":"Sm"},{"key":"2AAB","mappings":{"default":{"default":"más amplio que"}},"category":"Sm"},{"key":"2AAC","mappings":{"default":{"default":"más reducido o igual a"}},"category":"Sm"},{"key":"2AAD","mappings":{"default":{"default":"más amplio o igual a"}},"category":"Sm"},{"key":"2AAE","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2AAF","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"category":"Sm","key":"2AB0","mappings":{"default":{"default":"sucede por encima de la línea de igual signo"}}},{"category":"Sm","key":"2AB1","mappings":{"default":{"default":"precede por encima de una línea no es igual a"}}},{"category":"Sm","key":"2AB2","mappings":{"default":{"default":"tiene éxito por encima de una línea no es igual a"}}},{"category":"Sm","key":"2AB3","mappings":{"default":{"default":"precede arriba del signo igual"}}},{"category":"Sm","key":"2AB4","mappings":{"default":{"default":"sucede por encima del signo igual"}}},{"key":"2AB5","mappings":{"default":{"default":"precede estrictamente a"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"sigue estrictamente a"}},"category":"Sm"},{"category":"Sm","key":"2AB7","mappings":{"default":{"default":"precede por encima de casi igual a"}}},{"category":"Sm","key":"2AB8","mappings":{"default":{"default":"tiene éxito por encima de casi igual a"}}},{"category":"Sm","key":"2AB9","mappings":{"default":{"default":"precede arriba no es igual a"}}},{"category":"Sm","key":"2ABA","mappings":{"default":{"default":"tiene éxito por encima de no casi igual a"}}},{"key":"2ABB","mappings":{"default":{"default":"precede mucho antes"}},"category":"Sm"},{"key":"2ABC","mappings":{"default":{"default":"sigue mucho después"}},"category":"Sm"},{"key":"2ABD","mappings":{"default":{"default":"subrelación de"}},"category":"Sm"},{"key":"2ABE","mappings":{"default":{"default":"contiene como subrelación a"}},"category":"Sm"},{"key":"2ABF","mappings":{"default":{"default":"incluido con más suscrito"}},"category":"Sm"},{"key":"2AC0","mappings":{"default":{"default":"contiene con más suscrito"}},"category":"Sm"},{"key":"2AC1","mappings":{"default":{"default":"incluido con por suscrito"}},"category":"Sm"},{"key":"2AC2","mappings":{"default":{"default":"contiene con por suscrito"}},"category":"Sm"},{"key":"2AC3","mappings":{"default":{"default":"incluido con punto o es igual a"}},"category":"Sm"},{"key":"2AC4","mappings":{"default":{"default":"contiene con punto o es igual a"}},"category":"Sm"},{"category":"Sm","key":"2AC5","mappings":{"default":{"default":"subconjunto de signo igual arriba"}}},{"category":"Sm","key":"2AC6","mappings":{"default":{"default":"superconjunto de signo igual arriba"}}},{"key":"2AC7","mappings":{"default":{"default":"incluido aproximadamente en"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"contiene aproximadamente a"}},"category":"Sm"},{"category":"Sm","key":"2AC9","mappings":{"default":{"default":"subconjunto de Arriba Casi Igual a"}}},{"category":"Sm","key":"2ACA","mappings":{"default":{"default":"superconjunto de arriba casi igual a"}}},{"category":"Sm","key":"2ACB","mappings":{"default":{"default":"subconjunto de lo anterior no es igual a"}}},{"category":"Sm","key":"2ACC","mappings":{"default":{"default":"superconjunto de arriba no es igual a"}}},{"category":"Sm","key":"2ACD","mappings":{"default":{"default":"operador de caja abierta a la izquierda cuadrada"}}},{"category":"Sm","key":"2ACE","mappings":{"default":{"default":"operador de caja abierta a la derecha cuadrada"}}},{"key":"2ACF","mappings":{"default":{"default":"incluido con cierre en"}},"category":"Sm"},{"key":"2AD0","mappings":{"default":{"default":"contiene al cierre del subconjunto"}},"category":"Sm"},{"key":"2AD1","mappings":{"default":{"default":"incluido el cierre o es igual a"}},"category":"Sm"},{"key":"2AD2","mappings":{"default":{"default":"contiene al cierre del subconjunto o es igual a"}},"category":"Sm"},{"key":"2AD3","mappings":{"default":{"default":"está incluido o contiene a"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"incluido doblemente en"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"contiene doblemente a"}},"category":"Sm"},{"key":"2AD7","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD8","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD9","mappings":{"default":{"default":"perteneciente dirigido hacia abajo"}},"category":"Sm"},{"key":"2ADA","mappings":{"default":{"default":"pitchfork with tee top"}},"category":"Sm"},{"key":"2ADB","mappings":{"default":{"default":"transversal intersection"}},"category":"Sm"},{"category":"Sm","key":"2ADC","mappings":{"default":{"default":"bifurcación"}}},{"category":"Sm","key":"2ADD","mappings":{"default":{"default":"nonforking"}}},{"category":"Sm","key":"2ADE","mappings":{"default":{"default":"tachuela Izquierda Corta"}}},{"category":"Sm","key":"2ADF","mappings":{"default":{"default":"tachuela corta hacia abajo"}}},{"category":"Sm","key":"2AE0","mappings":{"default":{"default":"short Up Tack"}}},{"category":"Sm","key":"2AE1","mappings":{"default":{"default":"perpendicular con s"}}},{"category":"Sm","key":"2AE2","mappings":{"default":{"default":"barra vertical Torniquete a la derecha"}}},{"category":"Sm","key":"2AE3","mappings":{"default":{"default":"barra vertical doble Torniquete izquierdo"}}},{"key":"2AE4","mappings":{"default":{"default":"double left turnstile vertical bar"}},"category":"Sm"},{"category":"Sm","key":"2AE5","mappings":{"default":{"default":"doble barra vertical doble torniquete izquierdo"}}},{"key":"2AE6","mappings":{"default":{"default":"long dash from left member of double vertical"}},"category":"Sm"},{"key":"2AE7","mappings":{"default":{"default":"short down tack with overbar"}},"category":"Sm"},{"key":"2AE8","mappings":{"default":{"default":"barra con perpendicular"}},"category":"Sm"},{"key":"2AE9","mappings":{"default":{"default":"short up tack above short down tack"}},"category":"Sm"},{"category":"Sm","key":"2AEA","mappings":{"default":{"default":"tachuela doble"}}},{"key":"2AEB","mappings":{"default":{"default":"double up tack"}},"category":"Sm"},{"key":"2AEC","mappings":{"default":{"default":"double stroke not sign"}},"category":"Sm"},{"key":"2AED","mappings":{"default":{"default":"reversed double stroke not sign"}},"category":"Sm"},{"key":"2AEE","mappings":{"default":{"default":"does not divide with reversed negation slash"}},"category":"Sm"},{"key":"2AEF","mappings":{"default":{"default":"barra vertical con círculo"}},"category":"Sm"},{"key":"2AF0","mappings":{"default":{"default":"barra con círculo inferior"}},"category":"Sm"},{"key":"2AF1","mappings":{"default":{"default":"down tack with circle below"}},"category":"Sm"},{"key":"2AF2","mappings":{"default":{"default":"paralela con marca"}},"category":"Sm"},{"key":"2AF3","mappings":{"default":{"default":"paralela con tilde"}},"category":"Sm"},{"category":"Sm","key":"2AF4","mappings":{"default":{"default":"relación binaria de barra vertical triple"}}},{"category":"Sm","key":"2AF5","mappings":{"default":{"default":"barra vertical triple con trazo horizontal"}}},{"category":"Sm","key":"2AF6","mappings":{"default":{"default":"operador Triple Colon"}}},{"category":"Sm","key":"2AF7","mappings":{"default":{"default":"triple anidada menos que"}}},{"category":"Sm","key":"2AF8","mappings":{"default":{"default":"triple anidado mayor que"}}},{"category":"Sm","key":"2AF9","mappings":{"default":{"default":"doble línea inclinada menor o igual a"}}},{"category":"Sm","key":"2AFA","mappings":{"default":{"default":"doble línea inclinada mayor o igual a"}}},{"category":"Sm","key":"2AFB","mappings":{"default":{"default":"relación Binaria Triple Sólida"}}},{"category":"Sm","key":"2AFC","mappings":{"default":{"default":"operador de barra vertical triple grande"}}},{"category":"Sm","key":"2AFD","mappings":{"default":{"default":"operador Doble Sólido"}}},{"category":"Sm","key":"2AFE","mappings":{"default":{"default":"barra vertical blanca"}}},{"category":"Sm","key":"2AFF","mappings":{"default":{"default":"barra vertical blanca N-Ary"}}},{"category":"Pd","key":"301C","mappings":{"default":{"default":"wave Dash"}}},{"category":"Po","key":"FE10","mappings":{"default":{"default":"formulario de presentación para coma vertical"}}},{"category":"Po","key":"FE13","mappings":{"default":{"default":"formulario de presentación para colon vertical"}}},{"category":"Po","key":"FE14","mappings":{"default":{"default":"formulario de presentación para punto y coma vertical"}}},{"category":"Po","key":"FE15","mappings":{"default":{"default":"formulario de presentación para el signo de exclamación vertical"}}},{"category":"Po","key":"FE16","mappings":{"default":{"default":"formulario de presentación para el signo de interrogación vertical"}}},{"category":"Po","key":"FE19","mappings":{"default":{"default":"formulario de presentación para elipsis horizontal vertical"}}},{"category":"Po","key":"FE30","mappings":{"default":{"default":"formulario de presentación para líder vertical de dos puntos"}}},{"category":"Pd","key":"FE31","mappings":{"default":{"default":"formulario de presentación para Vertical Em Dash"}}},{"category":"Pd","key":"FE32","mappings":{"default":{"default":"formulario de presentación para Vertical En Dash"}}},{"category":"Pc","key":"FE33","mappings":{"default":{"default":"formulario de presentación para línea vertical baja"}}},{"category":"Pc","key":"FE34","mappings":{"default":{"default":"formulario de presentación para línea baja ondulada vertical"}}},{"category":"Po","key":"FE45","mappings":{"default":{"default":"punto de sésamo"}}},{"category":"Po","key":"FE46","mappings":{"default":{"default":"punto de sésamo blanco"}}},{"category":"Po","key":"FE49","mappings":{"default":{"default":"línea discontinua"}}},{"category":"Po","key":"FE4A","mappings":{"default":{"default":"centinela Overline"}}},{"category":"Po","key":"FE4B","mappings":{"default":{"default":"ondulado Overline"}}},{"category":"Po","key":"FE4C","mappings":{"default":{"default":"doble Ondulado Ondulado"}}},{"category":"Pc","key":"FE4D","mappings":{"default":{"default":"línea baja discontinua"}}},{"category":"Pc","key":"FE4E","mappings":{"default":{"default":"línea baja de línea central"}}},{"category":"Pc","key":"FE4F","mappings":{"default":{"default":"línea baja ondulada"}}},{"category":"Po","key":"FE50","mappings":{"default":{"default":"comas pequeñas"}}},{"category":"Po","key":"FE52","mappings":{"default":{"default":"parada completa pequeña"}}},{"category":"Po","key":"FE54","mappings":{"default":{"default":"pequeño punto y coma"}}},{"category":"Po","key":"FE55","mappings":{"default":{"default":"pequeño colon"}}},{"category":"Po","key":"FE56","mappings":{"default":{"default":"pequeño signo de interrogación"}}},{"category":"Po","key":"FE57","mappings":{"default":{"default":"pequeño signo de exclamación"}}},{"category":"Pd","key":"FE58","mappings":{"default":{"default":"pequeño Em Dash"}}},{"category":"Po","key":"FE5F","mappings":{"default":{"default":"signo de número pequeño"}}},{"category":"Po","key":"FE60","mappings":{"default":{"default":"ampersand pequeño"}}},{"category":"Po","key":"FE61","mappings":{"default":{"default":"pequeño asterisco"}}},{"category":"Sm","key":"FE62","mappings":{"default":{"default":"signo más pequeño"}}},{"category":"Pd","key":"FE63","mappings":{"default":{"default":"pequeño guión-menos"}}},{"category":"Sm","key":"FE64","mappings":{"default":{"default":"signo menor que pequeño"}}},{"category":"Sm","key":"FE65","mappings":{"default":{"default":"signo mayor que pequeño"}}},{"category":"Sm","key":"FE66","mappings":{"default":{"default":"signo pequeño igual"}}},{"key":"FE68","mappings":{"default":{"default":"división entera"}},"category":"Po"},{"category":"Sc","key":"FE69","mappings":{"default":{"default":"pequeño signo de dólar"}}},{"category":"Po","key":"FE6A","mappings":{"default":{"default":"signo de porcentaje pequeño"}}},{"category":"Po","key":"FE6B","mappings":{"default":{"default":"pequeño comercial en"}}},{"category":"Po","key":"FF01","mappings":{"default":{"default":"signo de exclamación de ancho completo"}}},{"category":"Po","key":"FF02","mappings":{"default":{"default":"comillas de ancho completo"}}},{"category":"Po","key":"FF03","mappings":{"default":{"default":"número de signo de ancho completo"}}},{"category":"Sc","key":"FF04","mappings":{"default":{"default":"signo de dólar de ancho completo"}}},{"category":"Po","key":"FF05","mappings":{"default":{"default":"signo de porcentaje de ancho completo"}}},{"category":"Po","key":"FF06","mappings":{"default":{"default":"ampersand de ancho completo"}}},{"category":"Po","key":"FF07","mappings":{"default":{"default":"apóstrofe de ancho completo"}}},{"category":"Po","key":"FF0A","mappings":{"default":{"default":"asterisco de ancho completo"}}},{"category":"Sm","key":"FF0B","mappings":{"default":{"default":"signo de ancho completo"}}},{"category":"Po","key":"FF0C","mappings":{"default":{"default":"coma de ancho completo"}}},{"category":"Pd","key":"FF0D","mappings":{"default":{"default":"ancho de ancho completo"}}},{"category":"Po","key":"FF0E","mappings":{"default":{"default":"fullwidth Full Stop"}}},{"category":"Po","key":"FF0F","mappings":{"default":{"default":"sólido de ancho completo"}}},{"category":"Po","key":"FF1A","mappings":{"default":{"default":"ancho completo de colon"}}},{"category":"Po","key":"FF1B","mappings":{"default":{"default":"punto y coma de ancho completo"}}},{"category":"Sm","key":"FF1C","mappings":{"default":{"default":"ancho completo menos de la señal"}}},{"category":"Sm","key":"FF1D","mappings":{"default":{"default":"signo de igual ancho completo"}}},{"category":"Sm","key":"FF1E","mappings":{"default":{"default":"ancho completo mayor que el signo"}}},{"category":"Po","key":"FF1F","mappings":{"default":{"default":"signo de interrogación de ancho completo"}}},{"category":"Po","key":"FF20","mappings":{"default":{"default":"comercial de ancho completo en"}}},{"category":"Po","key":"FF3C","mappings":{"default":{"default":"sólido inverso de ancho completo"}}},{"category":"Sk","key":"FF3E","mappings":{"default":{"default":"acento circunflejo de ancho completo"}}},{"category":"Pc","key":"FF3F","mappings":{"default":{"default":"línea baja de ancho completo"}}},{"category":"Sk","key":"FF40","mappings":{"default":{"default":"acento grave de ancho completo"}}},{"key":"FF5C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"},{"category":"Sm","key":"FF5E","mappings":{"default":{"default":"tilde de ancho completo"}}},{"category":"Sc","key":"FFE0","mappings":{"default":{"default":"signo de centavo de ancho completo"}}},{"category":"Sc","key":"FFE1","mappings":{"default":{"default":"signo de libra de ancho completo"}}},{"category":"Sm","key":"FFE2","mappings":{"default":{"default":"fullwidth no firmar"}}},{"category":"Sk","key":"FFE3","mappings":{"default":{"default":"ancho completo macron"}}},{"category":"So","key":"FFE4","mappings":{"default":{"default":"barra rota de ancho completo"}}},{"category":"Sc","key":"FFE5","mappings":{"default":{"default":"signo de yen de ancho completo"}}},{"category":"Sc","key":"FFE6","mappings":{"default":{"default":"signo de ancho completo ganado"}}},{"category":"So","key":"FFE8","mappings":{"default":{"default":"formas de ancho medio luz vertical"}}},{"category":"So","key":"FFED","mappings":{"default":{"default":"medio ancho cuadrado negro"}}},{"category":"So","key":"FFEE","mappings":{"default":{"default":"círculo blanco de medio ancho"}}}]
 ,
-"es/latin-mathfonts-sans-serif-bold.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula A"}},"key":"1D5D4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula B"}},"key":"1D5D5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula C"}},"key":"1D5D6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula D"}},"key":"1D5D7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula E"}},"key":"1D5D8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula F"}},"key":"1D5D9"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula G"}},"key":"1D5DA"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula H"}},"key":"1D5DB"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula I"}},"key":"1D5DC"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula J"}},"key":"1D5DD"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula K"}},"key":"1D5DE"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula L"}},"key":"1D5DF"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula M"}},"key":"1D5E0"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula N"}},"key":"1D5E1"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula O"}},"key":"1D5E2"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula P"}},"key":"1D5E3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Q"}},"key":"1D5E4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula R"}},"key":"1D5E5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula S"}},"key":"1D5E6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula T"}},"key":"1D5E7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula U"}},"key":"1D5E8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula V"}},"key":"1D5E9"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula W"}},"key":"1D5EA"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula X"}},"key":"1D5EB"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Y"}},"key":"1D5EC"},{"category":"Lu","mappings":{"default":{"default":"sans-serif negrita mayúscula Z"}},"key":"1D5ED"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita a"}},"key":"1D5EE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita b"}},"key":"1D5EF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita c"}},"key":"1D5F0"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita d"}},"key":"1D5F1"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita e"}},"key":"1D5F2"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita f"}},"key":"1D5F3"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita g"}},"key":"1D5F4"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita h"}},"key":"1D5F5"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita i"}},"key":"1D5F6"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita j"}},"key":"1D5F7"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita k"}},"key":"1D5F8"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita l"}},"key":"1D5F9"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita m"}},"key":"1D5FA"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita n"}},"key":"1D5FB"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita o"}},"key":"1D5FC"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita p"}},"key":"1D5FD"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita q"}},"key":"1D5FE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita r"}},"key":"1D5FF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita s"}},"key":"1D600"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita t"}},"key":"1D601"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita u"}},"key":"1D602"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita v"}},"key":"1D603"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita w"}},"key":"1D604"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita x"}},"key":"1D605"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita y"}},"key":"1D606"},{"category":"Ll","mappings":{"default":{"default":"sans-serif negrita z"}},"key":"1D607"}]
+"es/symbols/math_whitespace.js": 
+[{"locale":"es"},{"category":"Zs","key":"0020","mappings":{"default":{"default":"espacio"}}},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"guión corto"}},"category":"Cf"},{"category":"Zs","key":"2000","mappings":{"default":{"default":"en quad"}}},{"category":"Zs","key":"2001","mappings":{"default":{"default":"em Quad"}}},{"key":"2002","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2004","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2005","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Zs","key":"2006","mappings":{"default":{"default":"espacio Six-Per-Em"}}},{"key":"2007","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2008","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"200C","mappings":{"default":{"default":"ancho de cero no ensamblador"}},"category":"Cf"},{"key":"200D","mappings":{"default":{"default":"ancho de cero ensamblador"}},"category":"Cf"},{"key":"200E","mappings":{"default":{"default":"marca de izquierda a derecha"}},"category":"Cf"},{"key":"200F","mappings":{"default":{"default":"marca de derecha a izquierda"}},"category":"Cf"},{"category":"Zl","key":"2028","mappings":{"default":{"default":"separador de linea"}}},{"category":"Zp","key":"2029","mappings":{"default":{"default":"separador de párrafo"}}},{"category":"Cf","key":"202A","mappings":{"default":{"default":"incrustación de izquierda a derecha"}}},{"category":"Cf","key":"202B","mappings":{"default":{"default":"incrustación de derecha a izquierda"}}},{"category":"Cf","key":"202C","mappings":{"default":{"default":"formato direccional pop"}}},{"category":"Cf","key":"202D","mappings":{"default":{"default":"anulación de izquierda a derecha"}}},{"category":"Cf","key":"202E","mappings":{"default":{"default":"anulación de derecha a izquierda"}}},{"category":"Zs","key":"202F","mappings":{"default":{"default":"espacio estrecho sin descanso"}}},{"key":"205F","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2060","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"2061","mappings":{"default":{"default":"de"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":"por"}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":"coma"}},"category":"Cf"},{"key":"2064","mappings":{"default":{"default":"más"}},"category":"Cf"},{"category":"Cf","key":"206A","mappings":{"default":{"default":"inhibir el intercambio simétrico"}}},{"category":"Cf","key":"206B","mappings":{"default":{"default":"activar el intercambio simétrico"}}},{"category":"Cf","key":"206E","mappings":{"default":{"default":"formas de dígitos nacionales"}}},{"category":"Cf","key":"206F","mappings":{"default":{"default":"formas de dígitos nominales"}}},{"key":"FEFF","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"FFF9","mappings":{"default":{"default":"ancla de anotación interlinear"}}},{"category":"Cf","key":"FFFA","mappings":{"default":{"default":"separador de anotación interlinear"}}},{"category":"Cf","key":"FFFB","mappings":{"default":{"default":"terminador de anotación interlinear"}}}]
 ,
-"es/latin-mathfonts-sans-serif-italic.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula A"}},"key":"1D608"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula B"}},"key":"1D609"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula C"}},"key":"1D60A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula D"}},"key":"1D60B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula E"}},"key":"1D60C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula F"}},"key":"1D60D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula G"}},"key":"1D60E"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula H"}},"key":"1D60F"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula I"}},"key":"1D610"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula J"}},"key":"1D611"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula K"}},"key":"1D612"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula L"}},"key":"1D613"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula M"}},"key":"1D614"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula N"}},"key":"1D615"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula O"}},"key":"1D616"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula P"}},"key":"1D617"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula Q"}},"key":"1D618"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula R"}},"key":"1D619"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula S"}},"key":"1D61A"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula T"}},"key":"1D61B"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula U"}},"key":"1D61C"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula V"}},"key":"1D61D"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula W"}},"key":"1D61E"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula X"}},"key":"1D61F"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula Y"}},"key":"1D620"},{"category":"Lu","mappings":{"default":{"default":"sans-serif cursiva mayúscula Z"}},"key":"1D621"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva a"}},"key":"1D622"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva b"}},"key":"1D623"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva c"}},"key":"1D624"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva d"}},"key":"1D625"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva e"}},"key":"1D626"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva f"}},"key":"1D627"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva g"}},"key":"1D628"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva h"}},"key":"1D629"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva i"}},"key":"1D62A"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva j"}},"key":"1D62B"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva k"}},"key":"1D62C"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva l"}},"key":"1D62D"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva m"}},"key":"1D62E"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva n"}},"key":"1D62F"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva o"}},"key":"1D630"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva p"}},"key":"1D631"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva q"}},"key":"1D632"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva r"}},"key":"1D633"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva s"}},"key":"1D634"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva t"}},"key":"1D635"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva u"}},"key":"1D636"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva v"}},"key":"1D637"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva w"}},"key":"1D638"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva x"}},"key":"1D639"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva y"}},"key":"1D63A"},{"category":"Ll","mappings":{"default":{"default":"sans-serif cursiva z"}},"key":"1D63B"}]
+"es/symbols/other_stars.js": 
+[{"locale":"es"},{"category":"So","key":"23E8","mappings":{"default":{"default":"símbolo exponente decimal"}}},{"key":"2605","mappings":{"default":{"default":"estrella rellena"}},"category":"So"},{"key":"2606","mappings":{"default":{"default":"estrella vacía"}},"category":"So"},{"category":"So","key":"26AA","mappings":{"default":{"default":"círculo blanco medio"}}},{"category":"So","key":"26AB","mappings":{"default":{"default":"círculo negro medio"}}},{"category":"So","key":"2705","mappings":{"default":{"default":"marca de verificación pesada blanca"}}},{"key":"2713","mappings":{"default":{"default":"check mark"}},"category":"So"},{"category":"So","key":"2714","mappings":{"default":{"default":"marca de verificación pesada"}}},{"category":"So","key":"2715","mappings":{"default":{"default":"multiplicación x"}}},{"category":"So","key":"2716","mappings":{"default":{"default":"multiplicación pesada X"}}},{"key":"2717","mappings":{"default":{"default":"ballot x"}},"category":"So"},{"category":"So","key":"2718","mappings":{"default":{"default":"boleta pesada X"}}},{"category":"So","key":"271B","mappings":{"default":{"default":"centro abierto de la cruz"}}},{"category":"So","key":"271C","mappings":{"default":{"default":"pesado centro abierto cruz"}}},{"key":"2720","mappings":{"default":{"default":"cruz de Malta"}},"category":"So"},{"category":"So","key":"2721","mappings":{"default":{"default":"estrella de David"}}},{"category":"So","key":"2722","mappings":{"default":{"default":"cuatro asterisco de lágrima"}}},{"category":"So","key":"2723","mappings":{"default":{"default":"cuatro asterisco de globo"}}},{"category":"So","key":"2724","mappings":{"default":{"default":"pesado Cuatro asterisco impulsado por globo"}}},{"category":"So","key":"2725","mappings":{"default":{"default":"cuatro asterisco de club-spoked"}}},{"category":"So","key":"2726","mappings":{"default":{"default":"estrella de cuatro puntas negra"}}},{"category":"So","key":"2727","mappings":{"default":{"default":"estrella blanca de cuatro puntas"}}},{"category":"So","key":"2728","mappings":{"default":{"default":"destellos"}}},{"category":"So","key":"2729","mappings":{"default":{"default":"estrés subrayado estrella blanca"}}},{"category":"So","key":"272A","mappings":{"default":{"default":"estrella blanca circulada"}}},{"category":"So","key":"272B","mappings":{"default":{"default":"centro Abierto Estrella Negra"}}},{"category":"So","key":"272C","mappings":{"default":{"default":"centro negro estrella blanca"}}},{"category":"So","key":"272D","mappings":{"default":{"default":"contorneado negro estrella"}}},{"category":"So","key":"272E","mappings":{"default":{"default":"estrella negra contorneada pesada"}}},{"category":"So","key":"272F","mappings":{"default":{"default":"pinwheel Star"}}},{"category":"So","key":"2730","mappings":{"default":{"default":"estrella blanca sombreada"}}},{"category":"So","key":"2731","mappings":{"default":{"default":"asterisco pesado"}}},{"category":"So","key":"2732","mappings":{"default":{"default":"centro abierto de asterisco"}}},{"category":"So","key":"2733","mappings":{"default":{"default":"ocho asterisco hablado"}}},{"category":"So","key":"2734","mappings":{"default":{"default":"ocho estrellas negras puntiagudas"}}},{"category":"So","key":"2735","mappings":{"default":{"default":"ocho estrellas de molinete en punta"}}},{"key":"2736","mappings":{"default":{"default":"estrella rellena de seis puntas"}},"category":"So"},{"category":"So","key":"2739","mappings":{"default":{"default":"doce estrellas negras puntiagudas"}}},{"category":"So","key":"273A","mappings":{"default":{"default":"dieciséis asteriscos en punta"}}},{"category":"So","key":"273B","mappings":{"default":{"default":"asterisco con efecto de lágrima"}}},{"category":"So","key":"273C","mappings":{"default":{"default":"centro abierto con asterisco con forma de lágrima"}}},{"key":"273D","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"category":"So"},{"category":"So","key":"273E","mappings":{"default":{"default":"seis pétalos de florette en blanco y negro"}}},{"category":"So","key":"273F","mappings":{"default":{"default":"florette negro"}}},{"category":"So","key":"2740","mappings":{"default":{"default":"florette blanco"}}},{"category":"So","key":"2741","mappings":{"default":{"default":"ocho Petalled Outlined Black Florette"}}},{"category":"So","key":"2742","mappings":{"default":{"default":"círculo abierto centro ocho estrellas señaladas"}}},{"category":"So","key":"2743","mappings":{"default":{"default":"asterisco pesado del molinillo de viento"}}},{"category":"So","key":"2744","mappings":{"default":{"default":"copo de nieve"}}},{"category":"So","key":"2745","mappings":{"default":{"default":"copo de nieve trifolio apretado"}}},{"category":"So","key":"2746","mappings":{"default":{"default":"copo de nieve pesado de Chevron"}}},{"category":"So","key":"2747","mappings":{"default":{"default":"brillar"}}},{"category":"So","key":"2748","mappings":{"default":{"default":"chispa pesada"}}},{"category":"So","key":"2749","mappings":{"default":{"default":"asterisco de globo"}}},{"category":"So","key":"274A","mappings":{"default":{"default":"ocho asterisco de hélice con efecto de lágrima"}}},{"category":"So","key":"274B","mappings":{"default":{"default":"heavy eight asterisk de hélice en forma de lágrima"}}},{"category":"So","key":"274C","mappings":{"default":{"default":"marca de la cruz"}}},{"category":"So","key":"274D","mappings":{"default":{"default":"círculo blanco sombreado"}}}]
 ,
-"es/latin-mathfonts-sans-serif.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula A"}},"key":"1D5A0"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula B"}},"key":"1D5A1"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula C"}},"key":"1D5A2"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula D"}},"key":"1D5A3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula E"}},"key":"1D5A4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula F"}},"key":"1D5A5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula G"}},"key":"1D5A6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula H"}},"key":"1D5A7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula I"}},"key":"1D5A8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula J"}},"key":"1D5A9"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula K"}},"key":"1D5AA"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula L"}},"key":"1D5AB"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula M"}},"key":"1D5AC"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula N"}},"key":"1D5AD"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula O"}},"key":"1D5AE"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula P"}},"key":"1D5AF"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula Q"}},"key":"1D5B0"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula R"}},"key":"1D5B1"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula S"}},"key":"1D5B2"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula T"}},"key":"1D5B3"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula U"}},"key":"1D5B4"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula V"}},"key":"1D5B5"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula W"}},"key":"1D5B6"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula X"}},"key":"1D5B7"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula Y"}},"key":"1D5B8"},{"category":"Lu","mappings":{"default":{"default":"sans-serif mayúscula Z"}},"key":"1D5B9"},{"category":"Ll","mappings":{"default":{"default":"sans-serif a"}},"key":"1D5BA"},{"category":"Ll","mappings":{"default":{"default":"sans-serif b"}},"key":"1D5BB"},{"category":"Ll","mappings":{"default":{"default":"sans-serif c"}},"key":"1D5BC"},{"category":"Ll","mappings":{"default":{"default":"sans-serif d"}},"key":"1D5BD"},{"category":"Ll","mappings":{"default":{"default":"sans-serif e"}},"key":"1D5BE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif f"}},"key":"1D5BF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif g"}},"key":"1D5C0"},{"category":"Ll","mappings":{"default":{"default":"sans-serif h"}},"key":"1D5C1"},{"category":"Ll","mappings":{"default":{"default":"sans-serif i"}},"key":"1D5C2"},{"category":"Ll","mappings":{"default":{"default":"sans-serif j"}},"key":"1D5C3"},{"category":"Ll","mappings":{"default":{"default":"sans-serif k"}},"key":"1D5C4"},{"category":"Ll","mappings":{"default":{"default":"sans-serif l"}},"key":"1D5C5"},{"category":"Ll","mappings":{"default":{"default":"sans-serif m"}},"key":"1D5C6"},{"category":"Ll","mappings":{"default":{"default":"sans-serif n"}},"key":"1D5C7"},{"category":"Ll","mappings":{"default":{"default":"sans-serif o"}},"key":"1D5C8"},{"category":"Ll","mappings":{"default":{"default":"sans-serif p"}},"key":"1D5C9"},{"category":"Ll","mappings":{"default":{"default":"sans-serif q"}},"key":"1D5CA"},{"category":"Ll","mappings":{"default":{"default":"sans-serif r"}},"key":"1D5CB"},{"category":"Ll","mappings":{"default":{"default":"sans-serif s"}},"key":"1D5CC"},{"category":"Ll","mappings":{"default":{"default":"sans-serif t"}},"key":"1D5CD"},{"category":"Ll","mappings":{"default":{"default":"sans-serif u"}},"key":"1D5CE"},{"category":"Ll","mappings":{"default":{"default":"sans-serif v"}},"key":"1D5CF"},{"category":"Ll","mappings":{"default":{"default":"sans-serif w"}},"key":"1D5D0"},{"category":"Ll","mappings":{"default":{"default":"sans-serif x"}},"key":"1D5D1"},{"category":"Ll","mappings":{"default":{"default":"sans-serif y"}},"key":"1D5D2"},{"category":"Ll","mappings":{"default":{"default":"sans-serif z"}},"key":"1D5D3"}]
+"es/units/energy.js": 
+[{"locale":"es"},{"key":"W","names":["W","w"],"mappings":{"default":{"default":"watt"}},"category":"energy"},{"key":"kW","names":["kw","kW"],"mappings":{"default":{"default":"kilowatt"}},"category":"energy"},{"key":"mW","names":["mw","mW"],"mappings":{"default":{"default":"miliwatt"}},"category":"energy"},{"key":"kwh","names":["kwh","kWh"],"mappings":{"default":{"default":"kilowatt hora"}},"category":"energy"},{"key":"J","names":["J"],"mappings":{"default":{"default":"Joule"}},"category":"energy"},{"key":"N","names":["N"],"mappings":{"default":{"default":"Newton"}},"category":"energy"},{"key":"A","names":["A"],"mappings":{"default":{"default":"Ampere"}},"category":"energy"},{"key":"V","names":["V"],"mappings":{"default":{"default":"Voltio"}},"category":"energy"},{"key":"µΩ","names":["µΩ"],"mappings":{"default":{"default":"microohmio"}},"category":"energy"},{"key":"mΩ","names":["mΩ"],"mappings":{"default":{"default":"miliohmio"}},"category":"energy"},{"key":"Ω","names":["Ω","Ohm"],"mappings":{"default":{"default":"ohmio"}},"category":"energy"},{"key":"kΩ","names":["kΩ","KΩ"],"mappings":{"default":{"default":"kiloohmio"}},"category":"energy"},{"key":"MΩ","names":["MΩ"],"mappings":{"default":{"default":"megaohmio"}},"category":"energy"},{"key":"GΩ","names":["GΩ"],"mappings":{"default":{"default":"gigaohmio"}},"category":"energy"}]
 ,
-"es/latin-mathfonts-script.js": 
-[{"locale":"es"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula A"}},"key":"1D49C"},{"key":"212C","mappings":{"default":{"default":"script mayúscula B"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula C"}},"key":"1D49E"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula D"}},"key":"1D49F"},{"key":"2130","mappings":{"default":{"default":"script mayúscula E"}},"category":"Lu"},{"key":"2131","mappings":{"default":{"default":"script mayúscula F"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula G"}},"key":"1D4A2"},{"key":"210B","mappings":{"default":{"default":"script mayúscula H"}},"category":"Lu"},{"key":"2110","mappings":{"default":{"default":"script mayúscula I"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula J"}},"key":"1D4A5"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula K"}},"key":"1D4A6"},{"key":"2112","mappings":{"default":{"default":"script mayúscula L"}},"category":"Lu"},{"key":"2133","mappings":{"default":{"default":"script mayúscula M"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula N"}},"key":"1D4A9"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula O"}},"key":"1D4AA"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula P"}},"key":"1D4AB"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula Q"}},"key":"1D4AC"},{"key":"211B","mappings":{"default":{"default":"script mayúscula R"}},"category":"Lu"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula S"}},"key":"1D4AE"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula T"}},"key":"1D4AF"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula U"}},"key":"1D4B0"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula V"}},"key":"1D4B1"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula W"}},"key":"1D4B2"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula X"}},"key":"1D4B3"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula Y"}},"key":"1D4B4"},{"category":"Lu","mappings":{"default":{"default":"script mayúscula Z"}},"key":"1D4B5"},{"category":"Ll","mappings":{"default":{"default":"script a"}},"key":"1D4B6"},{"category":"Ll","mappings":{"default":{"default":"script b"}},"key":"1D4B7"},{"category":"Ll","mappings":{"default":{"default":"script c"}},"key":"1D4B8"},{"category":"Ll","mappings":{"default":{"default":"script d"}},"key":"1D4B9"},{"key":"212F","mappings":{"default":{"default":"script e"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"script f"}},"key":"1D4BB"},{"key":"210A","mappings":{"default":{"default":"script g"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"script h"}},"key":"1D4BD"},{"category":"Ll","mappings":{"default":{"default":"script i"}},"key":"1D4BE"},{"category":"Ll","mappings":{"default":{"default":"script j"}},"key":"1D4BF"},{"category":"Ll","mappings":{"default":{"default":"script k"}},"key":"1D4C0"},{"category":"Ll","mappings":{"default":{"default":"script l"}},"key":"1D4C1"},{"category":"Ll","mappings":{"default":{"default":"script m"}},"key":"1D4C2"},{"category":"Ll","mappings":{"default":{"default":"script n"}},"key":"1D4C3"},{"key":"2134","mappings":{"default":{"default":"script o"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"script p"}},"key":"1D4C5"},{"category":"Ll","mappings":{"default":{"default":"script q"}},"key":"1D4C6"},{"category":"Ll","mappings":{"default":{"default":"script r"}},"key":"1D4C7"},{"category":"Ll","mappings":{"default":{"default":"script s"}},"key":"1D4C8"},{"category":"Ll","mappings":{"default":{"default":"script t"}},"key":"1D4C9"},{"category":"Ll","mappings":{"default":{"default":"script u"}},"key":"1D4CA"},{"category":"Ll","mappings":{"default":{"default":"script v"}},"key":"1D4CB"},{"category":"Ll","mappings":{"default":{"default":"script w"}},"key":"1D4CC"},{"category":"Ll","mappings":{"default":{"default":"script x"}},"key":"1D4CD"},{"category":"Ll","mappings":{"default":{"default":"script y"}},"key":"1D4CE"},{"category":"Ll","mappings":{"default":{"default":"script z"}},"key":"1D4CF"}]
+"es/units/length.js": 
+[{"locale":"es"},{"key":"mm","names":["mm"],"mappings":{"default":{"default":"milímetro"}},"category":"length"},{"key":"cm","names":["cm"],"mappings":{"default":{"default":"centímetro"}},"category":"length"},{"key":"m","names":["m"],"mappings":{"default":{"default":"metro"}},"category":"length"},{"key":"km","names":["km"],"mappings":{"default":{"default":"kilómetro"}},"category":"length"},{"key":"ft","names":["ft","ft."],"mappings":{"default":{"default":"pies"}},"category":"length"},{"key":"in","names":["in","in."],"mappings":{"default":{"default":"pulgada"}},"category":"length"},{"key":"mi","names":["mi","mi."],"mappings":{"default":{"default":"milla"}},"category":"length"},{"key":"yd","names":["yd","yd."],"mappings":{"default":{"default":"yarda"}},"category":"length"},{"key":"n.m.","names":["n.m."],"mappings":{"default":{"default":"millas náuticas"}},"category":"length"}]
 ,
-"es/latin-rest.js": 
-[{"locale":"es"},{"key":"24C8","mappings":{"default":{"default":"S en círculo"}},"category":"So"}]
+"es/units/memory.js": 
+[{"locale":"es"},{"key":"b","names":["b"],"mappings":{"default":{"default":"bit"}},"category":"memory"},{"key":"B","names":["B"],"mappings":{"default":{"default":"byte"}},"category":"memory"},{"key":"KB","names":["KB"],"mappings":{"default":{"default":"kilobyte"}},"category":"memory"},{"key":"MB","names":["MB"],"mappings":{"default":{"default":"megabyte"}},"category":"memory"},{"key":"GB","names":["GB"],"mappings":{"default":{"default":"gigabyte"}},"category":"memory"},{"key":"TB","names":["TB"],"mappings":{"default":{"default":"terabyte"}},"category":"memory"}]
 ,
-"es/latin-upper-double-accent.js": 
-[{"locale":"es"},{"key":"1E08","mappings":{"default":{"default":"mayúscula C con cedilla y agudo"}},"category":"Lu"},{"key":"1E14","mappings":{"default":{"default":"mayúscula E con macrón y grave"}},"category":"Lu"},{"key":"1E16","mappings":{"default":{"default":"mayúscula E con macrón y agudo"}},"category":"Lu"},{"key":"1E1C","mappings":{"default":{"default":"mayúscula E with cedilla and breve"}},"category":"Lu"},{"key":"1E2E","mappings":{"default":{"default":"mayúscula I con diéresis y agudo"}},"category":"Lu"},{"key":"1E38","mappings":{"default":{"default":"mayúscula L con punto debajo y macrón"}},"category":"Lu"},{"key":"1E4C","mappings":{"default":{"default":"mayúscula O con tilde y acute"}},"category":"Lu"},{"key":"1E4E","mappings":{"default":{"default":"mayúscula O con tilde y diéresis"}},"category":"Lu"},{"key":"1E50","mappings":{"default":{"default":"mayúscula O con macrón y grave"}},"category":"Lu"},{"key":"1E52","mappings":{"default":{"default":"mayúscula O con macrón y agudo"}},"category":"Lu"},{"key":"1E5C","mappings":{"default":{"default":"mayúscula R con punto debajo y macrón"}},"category":"Lu"},{"key":"1E64","mappings":{"default":{"default":"mayúscula S con agudo y punto arriba"}},"category":"Lu"},{"key":"1E66","mappings":{"default":{"default":"mayúscula S con carón y punto arriba"}},"category":"Lu"},{"key":"1E68","mappings":{"default":{"default":"mayúscula S con punto debajo y punto arriba"}},"category":"Lu"},{"key":"1E78","mappings":{"default":{"default":"mayúscula U con tilde y agudo"}},"category":"Lu"},{"key":"1E7A","mappings":{"default":{"default":"mayúscula U con macrón y diéresis"}},"category":"Lu"},{"key":"1EA4","mappings":{"default":{"default":"mayúscula A con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EA6","mappings":{"default":{"default":"mayúscula A con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EA8","mappings":{"default":{"default":"mayúscula A con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EAA","mappings":{"default":{"default":"mayúscula A con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EAC","mappings":{"default":{"default":"mayúscula A con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EAE","mappings":{"default":{"default":"mayúscula A con breve y agudo"}},"category":"Lu"},{"key":"1EB0","mappings":{"default":{"default":"mayúscula A con breve y grave"}},"category":"Lu"},{"key":"1EB2","mappings":{"default":{"default":"mayúscula A con breve y gancho arriba"}},"category":"Lu"},{"key":"1EB4","mappings":{"default":{"default":"mayúscula A con breve y tilde"}},"category":"Lu"},{"key":"1EB6","mappings":{"default":{"default":"mayúscula A con breve y punto debajo"}},"category":"Lu"},{"key":"1EBE","mappings":{"default":{"default":"mayúscula E con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1EC0","mappings":{"default":{"default":"mayúscula E con acento circunflejo y grave"}},"category":"Lu"},{"key":"1EC2","mappings":{"default":{"default":"mayúscula E con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1EC4","mappings":{"default":{"default":"mayúscula E con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1EC6","mappings":{"default":{"default":"mayúscula E con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1ED0","mappings":{"default":{"default":"mayúscula O con acento circunflejo y agudo"}},"category":"Lu"},{"key":"1ED2","mappings":{"default":{"default":"mayúscula O con acento circunflejo y grave"}},"category":"Lu"},{"key":"1ED4","mappings":{"default":{"default":"mayúscula O con acento circunflejo y gancho arriba"}},"category":"Lu"},{"key":"1ED6","mappings":{"default":{"default":"mayúscula O con acento circunflejo y tilde"}},"category":"Lu"},{"key":"1ED8","mappings":{"default":{"default":"mayúscula O con acento circunflejo y punto debajo"}},"category":"Lu"},{"key":"1EDA","mappings":{"default":{"default":"mayúscula O with horn and acute"}},"category":"Lu"},{"key":"1EDC","mappings":{"default":{"default":"mayúscula O with horn and grave"}},"category":"Lu"},{"key":"1EDE","mappings":{"default":{"default":"mayúscula O with horn and hook above"}},"category":"Lu"},{"key":"1EE0","mappings":{"default":{"default":"mayúscula O with horn and tilde"}},"category":"Lu"},{"key":"1EE2","mappings":{"default":{"default":"mayúscula O con cuerno y punto debajo"}},"category":"Lu"},{"key":"1EE8","mappings":{"default":{"default":"mayúscula U con cuerno y agudo"}},"category":"Lu"},{"key":"1EEA","mappings":{"default":{"default":"mayúscula U con cuerno y grave"}},"category":"Lu"},{"key":"1EEC","mappings":{"default":{"default":"mayúscula U con cuerno y gancho arriba"}},"category":"Lu"},{"key":"1EEE","mappings":{"default":{"default":"mayúscula U con cuerno y tilde"}},"category":"Lu"},{"key":"1EF0","mappings":{"default":{"default":"mayúscula U con cuerno y punto debajo"}},"category":"Lu"}]
+"es/units/other.js": 
+[{"locale":"es"},{"key":"doz","names":["doz","doz.","dz","dz."],"mappings":{"default":{"default":"docena"}},"category":"other"},{"key":"sq","names":["sq","sq."],"mappings":{"default":{"default":"al cuadrado"}},"category":"other"},{"key":"ha","names":["ha"],"mappings":{"default":{"default":"hectarea"}},"category":"other"}]
 ,
-"es/latin-upper-normal.js": 
-[{"locale":"es"},{"key":"0041","mappings":{"default":{"default":"mayúscula A"}},"category":"Lu"},{"key":"0042","mappings":{"default":{"default":"mayúscula B"}},"category":"Lu"},{"key":"0043","mappings":{"default":{"default":"mayúscula C"}},"category":"Lu"},{"key":"0044","mappings":{"default":{"default":"mayúscula D"}},"category":"Lu"},{"key":"0045","mappings":{"default":{"default":"mayúscula E"}},"category":"Lu"},{"key":"0046","mappings":{"default":{"default":"mayúscula F"}},"category":"Lu"},{"key":"0047","mappings":{"default":{"default":"mayúscula G"}},"category":"Lu"},{"key":"0048","mappings":{"default":{"default":"mayúscula H"}},"category":"Lu"},{"key":"0049","mappings":{"default":{"default":"mayúscula I"}},"category":"Lu"},{"key":"004A","mappings":{"default":{"default":"mayúscula J"}},"category":"Lu"},{"key":"004B","mappings":{"default":{"default":"mayúscula K"}},"category":"Lu"},{"key":"004C","mappings":{"default":{"default":"mayúscula L"}},"category":"Lu"},{"key":"004D","mappings":{"default":{"default":"mayúscula M"}},"category":"Lu"},{"key":"004E","mappings":{"default":{"default":"mayúscula N"}},"category":"Lu"},{"key":"004F","mappings":{"default":{"default":"mayúscula O"}},"category":"Lu"},{"key":"0050","mappings":{"default":{"default":"mayúscula P"}},"category":"Lu"},{"key":"0051","mappings":{"default":{"default":"mayúscula Q"}},"category":"Lu"},{"key":"0052","mappings":{"default":{"default":"mayúscula R"}},"category":"Lu"},{"key":"0053","mappings":{"default":{"default":"mayúscula S"}},"category":"Lu"},{"key":"0054","mappings":{"default":{"default":"mayúscula T"}},"category":"Lu"},{"key":"0055","mappings":{"default":{"default":"mayúscula U"}},"category":"Lu"},{"key":"0056","mappings":{"default":{"default":"mayúscula V"}},"category":"Lu"},{"key":"0057","mappings":{"default":{"default":"mayúscula W"}},"category":"Lu"},{"key":"0058","mappings":{"default":{"default":"mayúscula X"}},"category":"Lu"},{"key":"0059","mappings":{"default":{"default":"mayúscula Y","defaultMP":"Ye"}},"category":"Lu"},{"key":"005A","mappings":{"default":{"default":"mayúscula Z"}},"category":"Lu"}]
+"es/units/speed.js": 
+[{"locale":"es"},{"key":"kt","names":["kt","kt."],"mappings":{"default":{"default":"nudo"}},"category":"speed"},{"key":"mph","names":["mph"],"mappings":{"default":{"default":"millas por hora"}},"category":"speed"},{"key":"rpm","names":["rpm"],"mappings":{"default":{"default":"revoluciones por minuto"}},"category":"speed"},{"key":"kmh","names":["kmh"],"mappings":{"default":{"default":"kilómetros por hora"}},"category":"speed"}]
 ,
-"es/latin-upper-single-accent.js": 
-[{"locale":"es"},{"key":"00C0","mappings":{"default":{"default":"mayúscula A grave"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"mayúscula A aguda"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"mayúscula A acento circunflejo"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"mayúscula A con tilde"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"mayúscula A diéresis"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"mayúscula A con anillo"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"mayúscula C cedilla"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"mayúscula E grave"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"mayúscula E aguda"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"mayúscula E acento circunflejo"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"mayúscula E diéresis"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"mayúscula I grave"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"mayúscula I aguda"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"mayúscula I acento circumflejo"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"mayúscula I diéresis"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"mayúscula Ñ"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"mayúscula O grave"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"mayúscula O aguda"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"mayúscula O acento circunflejo"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"mayúscula O con tilde"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"mayúscula O diéresis"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"mayúscula U grave"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"mayúscula U aguda"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"mayúscula U acento circunflejo"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"mayúscula U diéresis"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"mayúscula Y aguda"}},"category":"Lu"},{"key":"0100","mappings":{"default":{"default":"mayúscula A barra"}},"category":"Lu"},{"key":"0102","mappings":{"default":{"default":"mayúscula A con breve"}},"category":"Lu"},{"key":"0104","mappings":{"default":{"default":"mayúscula A con ogonek"}},"category":"Lu"},{"key":"0106","mappings":{"default":{"default":"mayúscula C con agudo"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"mayúscula C con acento circunflejo"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"mayúscula C con punto arriba"}},"category":"Lu"},{"key":"010C","mappings":{"default":{"default":"mayúscula C con carón"}},"category":"Lu"},{"key":"010E","mappings":{"default":{"default":"mayúscula D con carón"}},"category":"Lu"},{"key":"0112","mappings":{"default":{"default":"mayúscula E barra"}},"category":"Lu"},{"key":"0116","mappings":{"default":{"default":"mayúscula E con punto arriba"}},"category":"Lu"},{"key":"0118","mappings":{"default":{"default":"mayúscula E con ogonek"}},"category":"Lu"},{"key":"011A","mappings":{"default":{"default":"mayúscula E con carón"}},"category":"Lu"},{"key":"011C","mappings":{"default":{"default":"mayúscula G con acento circunflejo"}},"category":"Lu"},{"key":"011E","mappings":{"default":{"default":"mayúscula G con breve"}},"category":"Lu"},{"key":"0120","mappings":{"default":{"default":"mayúscula G con punto arriba"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"mayúscula G con cedilla"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"mayúscula H con acento circunflejo"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"mayúscula I con tilde"}},"category":"Lu"},{"key":"012A","mappings":{"default":{"default":"mayúscula I barra"}},"category":"Lu"},{"key":"012E","mappings":{"default":{"default":"mayúscula I con ogonek"}},"category":"Lu"},{"key":"0130","mappings":{"default":{"default":"mayúscula I con punto arriba"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"mayúscula J con acento circunflejo"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"mayúscula K con cedilla"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"mayúscula L con agudo"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"mayúscula L con cedilla"}},"category":"Lu"},{"key":"013D","mappings":{"default":{"default":"mayúscula L con carón"}},"category":"Lu"},{"key":"013F","mappings":{"default":{"default":"mayúscula L con punto mediano"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"mayúscula N con agudo"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"mayúscula N con cedilla"}},"category":"Lu"},{"key":"0147","mappings":{"default":{"default":"mayúscula n con carón"}},"category":"Lu"},{"key":"014C","mappings":{"default":{"default":"mayúscula O barra"}},"category":"Lu"},{"key":"0150","mappings":{"default":{"default":"mayúscula O con doble acento agudo "}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"mayúscula R con agudo"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"mayúscula R con cedilla"}},"category":"Lu"},{"key":"0158","mappings":{"default":{"default":"mayúscula R con carón"}},"category":"Lu"},{"key":"015A","mappings":{"default":{"default":"mayúscula S con agudo"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"mayúscula S con acento circunflejo"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"mayúscula S con cedilla"}},"category":"Lu"},{"key":"0160","mappings":{"default":{"default":"mayúscula S con carón"}},"category":"Lu"},{"key":"0162","mappings":{"default":{"default":"mayúscula T con cedilla"}},"category":"Lu"},{"key":"0164","mappings":{"default":{"default":"mayúscula T con carón"}},"category":"Lu"},{"key":"0168","mappings":{"default":{"default":"mayúscula U con tilde"}},"category":"Lu"},{"key":"016A","mappings":{"default":{"default":"mayúscula U barra"}},"category":"Lu"},{"key":"016C","mappings":{"default":{"default":"mayúscula U con breve"}},"category":"Lu"},{"key":"016E","mappings":{"default":{"default":"mayúscula U con anillo arriba"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"mayúscula U con doble acento agudo"}},"category":"Lu"},{"key":"0172","mappings":{"default":{"default":"mayúscula U con ogonek"}},"category":"Lu"},{"key":"0174","mappings":{"default":{"default":"mayúscula W con acento circunflejo"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"mayúscula Y con circunflejo"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"mayúscula Y diéresis"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"mayúscula Z con agudo"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"mayúscula Z con punto"}},"category":"Lu"},{"key":"017D","mappings":{"default":{"default":"mayúscula Z con carón"}},"category":"Lu"},{"key":"1E00","mappings":{"default":{"default":"mayúscula A con anillo debajo"}},"category":"Lu"},{"key":"1E02","mappings":{"default":{"default":"mayúscula B con punto arriba"}},"category":"Lu"},{"key":"1E04","mappings":{"default":{"default":"mayúscula B con punto debajo"}},"category":"Lu"},{"key":"1E06","mappings":{"default":{"default":"mayúscula B con línea debajo"}},"category":"Lu"},{"key":"1E0A","mappings":{"default":{"default":"mayúscula D con punto arriba"}},"category":"Lu"},{"key":"1E0C","mappings":{"default":{"default":"mayúscula D con punto debajo"}},"category":"Lu"},{"key":"1E0E","mappings":{"default":{"default":"mayúscula D con línea debajo"}},"category":"Lu"},{"key":"1E10","mappings":{"default":{"default":"mayúscula D con cedilla"}},"category":"Lu"},{"key":"1E12","mappings":{"default":{"default":"mayúscula D con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E18","mappings":{"default":{"default":"mayúscula E con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E1A","mappings":{"default":{"default":"mayúscula E con tilde debajo"}},"category":"Lu"},{"key":"1E1E","mappings":{"default":{"default":"mayúscula F con punto arriba"}},"category":"Lu"},{"key":"1E20","mappings":{"default":{"default":"mayúscula G con macrón"}},"category":"Lu"},{"key":"1E22","mappings":{"default":{"default":"mayúscula H con punto arriba"}},"category":"Lu"},{"key":"1E24","mappings":{"default":{"default":"mayúscula H con punto debajo"}},"category":"Lu"},{"key":"1E26","mappings":{"default":{"default":"mayúscula H con diéresis"}},"category":"Lu"},{"key":"1E28","mappings":{"default":{"default":"mayúscula H con cedilla"}},"category":"Lu"},{"key":"1E2A","mappings":{"default":{"default":"mayúscula H con breve debajo"}},"category":"Lu"},{"key":"1E2C","mappings":{"default":{"default":"mayúscula I con tilde debajo"}},"category":"Lu"},{"key":"1E30","mappings":{"default":{"default":"mayúscula K con agudo"}},"category":"Lu"},{"key":"1E32","mappings":{"default":{"default":"mayúscula K con punto debajo"}},"category":"Lu"},{"key":"1E34","mappings":{"default":{"default":"mayúscula K con línea debajo"}},"category":"Lu"},{"key":"1E36","mappings":{"default":{"default":"mayúscula L con punto debajo"}},"category":"Lu"},{"key":"1E3A","mappings":{"default":{"default":"mayúscula L con línea debajo"}},"category":"Lu"},{"key":"1E3C","mappings":{"default":{"default":"mayúscula L con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E3E","mappings":{"default":{"default":"mayúscula M con agudo"}},"category":"Lu"},{"key":"1E40","mappings":{"default":{"default":"mayúscula M con punto arriba"}},"category":"Lu"},{"key":"1E42","mappings":{"default":{"default":"mayúscula M con punto debajo"}},"category":"Lu"},{"key":"1E44","mappings":{"default":{"default":"mayúscula N con punto arriba"}},"category":"Lu"},{"key":"1E46","mappings":{"default":{"default":"mayúscula N con punto debajo"}},"category":"Lu"},{"key":"1E48","mappings":{"default":{"default":"mayúscula N con línea debajo"}},"category":"Lu"},{"key":"1E4A","mappings":{"default":{"default":"mayúscula N con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E54","mappings":{"default":{"default":"mayúscula P con agudo"}},"category":"Lu"},{"key":"1E56","mappings":{"default":{"default":"mayúscula P con punto arriba"}},"category":"Lu"},{"key":"1E58","mappings":{"default":{"default":"mayúscula R con punto arriba"}},"category":"Lu"},{"key":"1E5A","mappings":{"default":{"default":"mayúscula R con punto debajo"}},"category":"Lu"},{"key":"1E5E","mappings":{"default":{"default":"mayúscula R con línea debajo"}},"category":"Lu"},{"key":"1E60","mappings":{"default":{"default":"mayúscula S con punto arriba"}},"category":"Lu"},{"key":"1E62","mappings":{"default":{"default":"mayúscula S con punto debajo"}},"category":"Lu"},{"key":"1E6A","mappings":{"default":{"default":"mayúscula T con punto arriba"}},"category":"Lu"},{"key":"1E6C","mappings":{"default":{"default":"mayúscula T con punto debajo"}},"category":"Lu"},{"key":"1E6E","mappings":{"default":{"default":"mayúscula T con línea debajo"}},"category":"Lu"},{"key":"1E70","mappings":{"default":{"default":"mayúscula T con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E72","mappings":{"default":{"default":"mayúscula U con diéresis debajo"}},"category":"Lu"},{"key":"1E74","mappings":{"default":{"default":"mayúscula U con tilde debajo"}},"category":"Lu"},{"key":"1E76","mappings":{"default":{"default":"mayúscula U con acento circunflejo debajo"}},"category":"Lu"},{"key":"1E7C","mappings":{"default":{"default":"mayúscula V con tilde"}},"category":"Lu"},{"key":"1E7E","mappings":{"default":{"default":"mayúscula V con punto debajo"}},"category":"Lu"},{"key":"1E80","mappings":{"default":{"default":"mayúscula W con grave"}},"category":"Lu"},{"key":"1E82","mappings":{"default":{"default":"mayúscula W con agudo"}},"category":"Lu"},{"key":"1E84","mappings":{"default":{"default":"mayúscula W con diéresis"}},"category":"Lu"},{"key":"1E86","mappings":{"default":{"default":"mayúscula W con punto arriba"}},"category":"Lu"},{"key":"1E88","mappings":{"default":{"default":"mayúscula W con punto debajo"}},"category":"Lu"},{"key":"1E8A","mappings":{"default":{"default":"mayúscula X con punto arriba"}},"category":"Lu"},{"key":"1E8C","mappings":{"default":{"default":"mayúscula X con diéresis"}},"category":"Lu"},{"key":"1E8E","mappings":{"default":{"default":"mayúscula Y con punto arriba"}},"category":"Lu"},{"key":"1E90","mappings":{"default":{"default":"mayúscula Z con acento circunflejo"}},"category":"Lu"},{"key":"1E92","mappings":{"default":{"default":"mayúscula Z con punto debajo"}},"category":"Lu"},{"key":"1E94","mappings":{"default":{"default":"mayúscula Z with line below"}},"category":"Lu"},{"key":"1EA0","mappings":{"default":{"default":"mayúscula A con punto debajo"}},"category":"Lu"},{"key":"1EA2","mappings":{"default":{"default":"mayúscula A con gancho arriba"}},"category":"Lu"},{"key":"1EB8","mappings":{"default":{"default":"mayúscula E con punto debajo"}},"category":"Lu"},{"key":"1EBA","mappings":{"default":{"default":"mayúscula E con gancho arriba"}},"category":"Lu"},{"key":"1EBC","mappings":{"default":{"default":"mayúscula E con tilde"}},"category":"Lu"},{"key":"1EC8","mappings":{"default":{"default":"mayúscula I con gancho arriba"}},"category":"Lu"},{"key":"1ECA","mappings":{"default":{"default":"mayúscula I con punto debajo"}},"category":"Lu"},{"key":"1ECC","mappings":{"default":{"default":"mayúscula O con punto debajo"}},"category":"Lu"},{"key":"1ECE","mappings":{"default":{"default":"mayúscula O con gancho arriba"}},"category":"Lu"},{"key":"1EE4","mappings":{"default":{"default":"mayúscula U con punto debajo"}},"category":"Lu"},{"key":"1EE6","mappings":{"default":{"default":"mayúscula U con gancho arriba"}},"category":"Lu"},{"key":"1EF2","mappings":{"default":{"default":"mayúscula Y con grave"}},"category":"Lu"},{"key":"1EF4","mappings":{"default":{"default":"mayúscula Y con punto debajo"}},"category":"Lu"},{"key":"1EF6","mappings":{"default":{"default":"mayúscula Y con gancho arriba"}},"category":"Lu"},{"key":"1EF8","mappings":{"default":{"default":"mayúscula Y con tilde"}},"category":"Lu"}]
+"es/units/temperature.js": 
+[{"locale":"es"},{"key":"F","names":["F","F.","°F"],"mappings":{"default":{"default":"Fahrenheit"}},"category":"temperature"},{"key":"C","names":["C","°C"],"mappings":{"default":{"default":"centígrados"}},"category":"temperature"},{"key":"K","names":["K","°K"],"mappings":{"default":{"default":"Kelvin"}},"category":"temperature"}]
 ,
-"es/math_angles.js": 
-[{"locale":"es"},{"key":"22BE","mappings":{"default":{"default":"ángulo recto con arco"}},"category":"Sm"},{"key":"237C","mappings":{"default":{"default":"ángulo recto con flecha zigzag hacia abajo"}},"category":"Sm"},{"key":"27C0","mappings":{"default":{"default":"ángulo sólido"}},"category":"Sm"},{"key":"299D","mappings":{"default":{"default":"ángulo recto medido con punto"}},"category":"Sm"},{"key":"29A4","mappings":{"default":{"default":"ángulo con barra inferior"}},"category":"Sm"},{"key":"29A5","mappings":{"default":{"default":"ángulo inverso con barra inferior"}},"category":"Sm"},{"key":"29A6","mappings":{"default":{"default":"ángulo oblicuo hacia arriba"}},"category":"Sm"},{"key":"29A7","mappings":{"default":{"default":"ángulo oblicuo hacia abajo"}},"category":"Sm"},{"key":"29A8","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the right"}},"category":"Sm"},{"key":"29A9","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing up and to the left"}},"category":"Sm"},{"key":"29AA","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the right"}},"category":"Sm"},{"key":"29AB","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing down and to the left"}},"category":"Sm"},{"key":"29AC","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and up"}},"category":"Sm"},{"key":"29AD","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and up"}},"category":"Sm"},{"key":"29AE","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing right and down"}},"category":"Sm"},{"key":"29AF","mappings":{"default":{"default":"measured angle with open arm ending in arrow pointing left and down"}},"category":"Sm"}]
+"es/units/time.js": 
+[{"locale":"es"},{"key":"ns","names":["ns"],"mappings":{"default":{"default":"nanosegundos"}},"category":"time"},{"key":"µs","names":["µs"],"mappings":{"default":{"default":"microsegundos"}},"category":"time"},{"key":"ms","names":["ms"],"mappings":{"default":{"default":"milisegundos"}},"category":"time"},{"key":"s","names":["s"],"mappings":{"default":{"default":"segundos"}},"category":"time"},{"key":"min","names":["min"],"mappings":{"default":{"default":"minutos"}},"category":"time"},{"key":"h","names":["h","hr"],"mappings":{"default":{"default":"hora"}},"category":"time"}]
 ,
-"es/math_arrows.js": 
-[{"locale":"es"},{"key":"2190","mappings":{"default":{"default":"flecha izquierda"}},"category":"Sm"},{"key":"2191","mappings":{"default":{"default":"flecha arriba"}},"category":"Sm"},{"key":"2192","mappings":{"default":{"default":"flecha derecha","defaultMP":"flecha"}},"category":"Sm"},{"key":"2193","mappings":{"default":{"default":"flecha abajo"}},"category":"Sm"},{"key":"2194","mappings":{"default":{"default":"flecha izquierda y derecha"}},"category":"Sm"},{"key":"2195","mappings":{"default":{"default":"flecha arriba y abajo"}},"category":"So"},{"key":"2196","mappings":{"default":{"default":"flecha a noroeste"}},"category":"So"},{"key":"2197","mappings":{"default":{"default":"flecha a nordeste"}},"category":"So"},{"key":"2198","mappings":{"default":{"default":"flecha a sureste"}},"category":"So"},{"key":"2199","mappings":{"default":{"default":"flecha a suroeste"}},"category":"So"},{"key":"219A","mappings":{"default":{"default":"flecha izquierda tachada"}},"category":"Sm"},{"key":"219B","mappings":{"default":{"default":"flecha tachada"}},"category":"Sm"},{"key":"219C","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"219D","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"219E","mappings":{"default":{"default":"flecha izquierda con doble punta"}},"category":"So"},{"key":"219F","mappings":{"default":{"default":"flecha con doble punta hacia arriba"}},"category":"So"},{"key":"21A0","mappings":{"default":{"default":"flecha derechaa con doble punta"}},"category":"Sm"},{"key":"21A1","mappings":{"default":{"default":"flecha con doble punta hacia abajo"}},"category":"So"},{"key":"21A2","mappings":{"default":{"default":"flecha izquierda con cola"}},"category":"So"},{"key":"21A3","mappings":{"default":{"default":"flecha derecha con cola"}},"category":"Sm"},{"key":"21A4","mappings":{"default":{"default":"flecha izquierda de barra"}},"category":"So"},{"key":"21A5","mappings":{"default":{"default":"barra con flecha"}},"category":"So"},{"key":"21A6","mappings":{"default":{"default":"flecha derecha de barra"}},"category":"Sm"},{"key":"21A7","mappings":{"default":{"default":"flecha con barra"}},"category":"So"},{"key":"21A8","mappings":{"default":{"default":"flecha arriba y abajo con base"}},"category":"So"},{"key":"21A9","mappings":{"default":{"default":"flecha izquierda con gancho"}},"category":"So"},{"key":"21AA","mappings":{"default":{"default":"flecha con gancho"}},"category":"So"},{"key":"21AB","mappings":{"default":{"default":"flecha izquierda con lazo"}},"category":"So"},{"key":"21AC","mappings":{"default":{"default":"flecha con lazo"}},"category":"So"},{"key":"21AD","mappings":{"default":{"default":"flecha ondulada izquierda y derecha"}},"category":"So"},{"key":"21AE","mappings":{"default":{"default":"flecha izquierda y derecha tachada"}},"category":"Sm"},{"key":"21AF","mappings":{"default":{"default":"flecha zigzag abajo"}},"category":"So"},{"key":"21B0","mappings":{"default":{"default":"flecha arriba con punta izquierda"}},"category":"So"},{"key":"21B1","mappings":{"default":{"default":"flecha arriba con punta derecha"}},"category":"So"},{"key":"21B2","mappings":{"default":{"default":"flecha abajo con punta izquierda"}},"category":"So"},{"key":"21B3","mappings":{"default":{"default":"flecha abajo con punta derecha"}},"category":"So"},{"key":"21B4","mappings":{"default":{"default":"flecha derecha desde esquina inferior"}},"category":"So"},{"key":"21B5","mappings":{"default":{"default":"flecha hacia abajo desde esquina izquierda"}},"category":"So"},{"key":"21B6","mappings":{"default":{"default":"flecha semicircular superior en sentido antihorario"}},"category":"So"},{"key":"21B7","mappings":{"default":{"default":"flecha semicircular superior en sentido horario"}},"category":"So"},{"key":"21B8","mappings":{"default":{"default":"flecha noroeste a barra larga"}},"category":"So"},{"key":"21B9","mappings":{"default":{"default":"flecha izquierda a barra arriba de flecha derecha a barra"}},"category":"So"},{"key":"21BA","mappings":{"default":{"default":"flecha circular abierta en sentido antihorario"}},"category":"So"},{"key":"21BB","mappings":{"default":{"default":"flecha circular abierta en sentido horario"}},"category":"So"},{"key":"21C4","mappings":{"default":{"default":"flecha derecha arriba de flecha izquierda"}},"category":"So"},{"key":"21C5","mappings":{"default":{"default":"flecha arriba a la izquierda de flecha abajo"}},"category":"So"},{"key":"21C6","mappings":{"default":{"default":"flecha izquierda arriba de flecha derecha"}},"category":"So"},{"key":"21C7","mappings":{"default":{"default":"dos flechas hacia la izquierda"}},"category":"So"},{"key":"21C8","mappings":{"default":{"default":"dos flechas hacia arriba"}},"category":"So"},{"key":"21C9","mappings":{"default":{"default":"dos flechas"}},"category":"So"},{"key":"21CA","mappings":{"default":{"default":"dos flechas hacia abajo"}},"category":"So"},{"key":"21CD","mappings":{"default":{"default":"flecha doble izquierda tachada"}},"category":"So"},{"key":"21CE","mappings":{"default":{"default":"flecha doble izquierda y derecha tachada"}},"category":"Sm"},{"key":"21CF","mappings":{"default":{"default":"flecha doble tachada"}},"category":"Sm"},{"key":"21D0","mappings":{"default":{"default":"flecha doble hacia la izquierda"}},"category":"So"},{"key":"21D1","mappings":{"default":{"default":"flecha doble hacia arriba"}},"category":"So"},{"key":"21D2","mappings":{"default":{"default":"flecha doble"}},"category":"Sm"},{"key":"21D3","mappings":{"default":{"default":"flecha doble hacia abajo"}},"category":"So"},{"key":"21D4","mappings":{"default":{"default":"flecha doble izquierda-derecha"}},"category":"Sm"},{"key":"21D5","mappings":{"default":{"default":"flecha doble vertical"}},"category":"So"},{"key":"21D6","mappings":{"default":{"default":"flecha doble hacia noroeste"}},"category":"So"},{"key":"21D7","mappings":{"default":{"default":"flecha doble hacia nordeste"}},"category":"So"},{"key":"21D8","mappings":{"default":{"default":"flecha doble hacia sudeste"}},"category":"So"},{"key":"21D9","mappings":{"default":{"default":"flecha doble hacia sudoeste"}},"category":"So"},{"key":"21DA","mappings":{"default":{"default":"flecha triple izquierda"}},"category":"So"},{"key":"21DB","mappings":{"default":{"default":"flecha triple"}},"category":"So"},{"key":"21DC","mappings":{"default":{"default":"flecha ondulada izquierda"}},"category":"So"},{"key":"21DD","mappings":{"default":{"default":"flecha ondulada"}},"category":"So"},{"key":"21DE","mappings":{"default":{"default":"flecha hacia arriba con doble tachado"}},"category":"So"},{"key":"21DF","mappings":{"default":{"default":"flecha hacia abajo con doble tachado"}},"category":"So"},{"key":"21E0","mappings":{"default":{"default":"flecha de puntos hacia la izquierda"}},"category":"So"},{"key":"21E1","mappings":{"default":{"default":"flecha de puntos hacia arriba"}},"category":"So"},{"key":"21E2","mappings":{"default":{"default":"flecha de puntos"}},"category":"So"},{"key":"21E3","mappings":{"default":{"default":"flecha de puntos hacia abajo"}},"category":"So"},{"key":"21E4","mappings":{"default":{"default":"flecha izquierda a barra"}},"category":"So"},{"key":"21E5","mappings":{"default":{"default":"flecha derecha a barra"}},"category":"So"},{"key":"21E6","mappings":{"default":{"default":"flecha vacía hacia la izquierda"}},"category":"So"},{"key":"21E7","mappings":{"default":{"default":"flecha vacía hacia arriba"}},"category":"So"},{"key":"21E8","mappings":{"default":{"default":"flecha vacía"}},"category":"So"},{"key":"21E9","mappings":{"default":{"default":"flecha vacía hacia abajo"}},"category":"So"},{"key":"21EA","mappings":{"default":{"default":"flecha vacía hacia arriba desde barra"}},"category":"So"},{"key":"21F5","mappings":{"default":{"default":"upwards arrow to the right of downwards arrow"}},"category":"Sm"},{"key":"21FD","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FE","mappings":{"default":{"default":"flecha izquierda con punta vacía"}},"category":"Sm"},{"key":"21FF","mappings":{"default":{"default":"flecha izquierda derecha con punta vacía"}},"category":"Sm"},{"key":"27F0","mappings":{"default":{"default":"flecha cuádruple hacia arriba"}},"category":"Sm"},{"key":"27F1","mappings":{"default":{"default":"flecha cuádruple hacia abajo"}},"category":"Sm"},{"key":"27F2","mappings":{"default":{"default":"flecha hacia la izquierda desde círculo"}},"category":"Sm"},{"key":"27F3","mappings":{"default":{"default":"flecha hacia la derecha desde círculo"}},"category":"Sm"},{"key":"27F4","mappings":{"default":{"default":"flecha con más en círculo"}},"category":"Sm"},{"key":"27F5","mappings":{"default":{"default":"flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F6","mappings":{"default":{"default":"flecha larga"}},"category":"Sm"},{"key":"27F7","mappings":{"default":{"default":"flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27F8","mappings":{"default":{"default":"doble flecha larga hacia la izquierda"}},"category":"Sm"},{"key":"27F9","mappings":{"default":{"default":"doble flecha larga"}},"category":"Sm"},{"key":"27FA","mappings":{"default":{"default":"doble flecha larga hacia izquierda y derecha"}},"category":"Sm"},{"key":"27FB","mappings":{"default":{"default":"flecha larga hacia la izquierda, desde barra"}},"category":"Sm"},{"key":"27FC","mappings":{"default":{"default":"flecha larga desde barra"}},"category":"Sm"},{"key":"27FD","mappings":{"default":{"default":"doble flecha larga hacia la izquierda desde barra"}},"category":"Sm"},{"key":"27FE","mappings":{"default":{"default":"doble flecha larga desde barra"}},"category":"Sm"},{"key":"27FF","mappings":{"default":{"default":"flecha larga en zigzag"}},"category":"Sm"},{"key":"2905","mappings":{"default":{"default":"rightwards two headed arrow from bar"}},"category":"Sm"},{"key":"290C","mappings":{"default":{"default":"leftwards double dash arrow"}},"category":"Sm"},{"key":"290D","mappings":{"default":{"default":"rightwards double dash arrow"}},"category":"Sm"},{"key":"290E","mappings":{"default":{"default":"leftwards triple dash arrow"}},"category":"Sm"},{"key":"290F","mappings":{"default":{"default":"rightwards triple dash arrow"}},"category":"Sm"},{"key":"2910","mappings":{"default":{"default":"rightwards two headed triple dash arrow"}},"category":"Sm"},{"key":"2911","mappings":{"default":{"default":"rightwards arrow with dotted stem"}},"category":"Sm"},{"key":"2912","mappings":{"default":{"default":"upwards arrow to bar"}},"category":"Sm"},{"key":"2913","mappings":{"default":{"default":"downwards arrow to bar"}},"category":"Sm"},{"key":"2916","mappings":{"default":{"default":"rightwards two headed arrow with tail"}},"category":"Sm"},{"key":"2919","mappings":{"default":{"default":"cola de flecha hacia la izquierda"}},"category":"Sm"},{"key":"291B","mappings":{"default":{"default":"cola de doble flecha hacia la izquierda"}},"category":"Sm"},{"key":"291C","mappings":{"default":{"default":"cola de doble flecha hacia la derecha"}},"category":"Sm"},{"key":"291D","mappings":{"default":{"default":"flecha hacia diamante relleno a la izquierda"}},"category":"Sm"},{"key":"291E","mappings":{"default":{"default":"flecha hacia diamante a la derecha"}},"category":"Sm"},{"key":"291F","mappings":{"default":{"default":"flecha desde barra hacia diamante a la izquierda"}},"category":"Sm"},{"key":"2920","mappings":{"default":{"default":"flecha desde barra hacia diamante a la derecha"}},"category":"Sm"},{"key":"2923","mappings":{"default":{"default":"flecha a noroeste con garfio"}},"category":"Sm"},{"key":"2924","mappings":{"default":{"default":"flecha a nordeste con garfio"}},"category":"Sm"},{"key":"2925","mappings":{"default":{"default":"flecha a sureste con garfio"}},"category":"Sm"},{"key":"2926","mappings":{"default":{"default":"flecha a suroeste con garfio"}},"category":"Sm"},{"key":"2927","mappings":{"default":{"default":"flechas a noroeste y nordeste"}},"category":"Sm"},{"key":"2928","mappings":{"default":{"default":"flechas a nordeste y sudeste"}},"category":"Sm"},{"key":"2929","mappings":{"default":{"default":"flechas a suddeste y sudoeste"}},"category":"Sm"},{"key":"292A","mappings":{"default":{"default":"flechas a sudoeste y noroeste"}},"category":"Sm"},{"key":"2933","mappings":{"default":{"default":"flecha ondulada"}},"category":"Sm"},{"key":"2935","mappings":{"default":{"default":"flecha hacia la derecha que gira hacia abajo"}},"category":"Sm"},{"key":"2936","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la izquierda"}},"category":"Sm"},{"key":"2937","mappings":{"default":{"default":"flecha hacia abajo que gira hacia la derecha"}},"category":"Sm"},{"key":"2938","mappings":{"default":{"default":"flecha semicircular a la derecha en sentido horario"}},"category":"Sm"},{"key":"2939","mappings":{"default":{"default":"flecha semicircular a la izquierda en sentido antihorario"}},"category":"Sm"},{"key":"293C","mappings":{"default":{"default":"giro negativo"}},"category":"Sm"},{"key":"293D","mappings":{"default":{"default":"giro positivo"}},"category":"Sm"},{"key":"2945","mappings":{"default":{"default":"flecha con más suscrito"}},"category":"Sm"},{"key":"2948","mappings":{"default":{"default":"flecha hacia la izquierda a través de círculo"}},"category":"Sm"},{"key":"2949","mappings":{"default":{"default":"dos cabezas de flecha hacia arriba desde círculo"}},"category":"Sm"},{"key":"2970","mappings":{"default":{"default":"round implies"}},"category":"Sm"},{"key":"2971","mappings":{"default":{"default":"flecha con igual"}},"category":"Sm"},{"key":"2972","mappings":{"default":{"default":"flecha con tilde"}},"category":"Sm"},{"key":"2973","mappings":{"default":{"default":"tilde con flecha hacia la izquierda"}},"category":"Sm"},{"key":"2974","mappings":{"default":{"default":"tilde con flecha"}},"category":"Sm"},{"key":"2975","mappings":{"default":{"default":"flecha con casi igual a"}},"category":"Sm"},{"key":"2976","mappings":{"default":{"default":"flecha hacia la izquierda con menor que"}},"category":"Sm"},{"key":"2978","mappings":{"default":{"default":"flecha con mayor que"}},"category":"Sm"},{"key":"2979","mappings":{"default":{"default":"flecha hacia la izquierda con incluido"}},"category":"Sm"},{"key":"297B","mappings":{"default":{"default":"flecha hacia la izquierda con contiene"}},"category":"Sm"},{"key":"29B3","mappings":{"default":{"default":"conjunto vacío con flecha"}},"category":"Sm"},{"key":"29B4","mappings":{"default":{"default":"conjunto vacío con flecha inversa"}},"category":"Sm"},{"key":"2A17","mappings":{"default":{"default":"integral con flecha hacia la izquierda con garfio"}},"category":"Sm"}]
+"es/units/volume.js": 
+[{"locale":"es"},{"key":"bbl","names":["bbl.","bbl"],"mappings":{"default":{"default":"barrile"}},"category":"volume"},{"key":"cu","names":["cu","cu."],"mappings":{"default":{"default":"cúbico"}},"category":"volume"},{"key":"fl. oz.","names":["fl. oz."],"mappings":{"default":{"default":"onzas líquidas"}},"category":"volume"},{"key":"gal","names":["gal","gal."],"mappings":{"default":{"default":"galone"}},"category":"volume"},{"key":"pt","names":["pt","pt."],"mappings":{"default":{"default":"pinta"}},"category":"volume"},{"key":"qt","names":["qt","qt."],"mappings":{"default":{"default":"quart"}},"category":"volume"},{"key":"tbsp","names":["tbsp","tbsp."],"mappings":{"default":{"default":"cuchara"}},"category":"volume"},{"key":"tsp","names":["tsp","tsp."],"mappings":{"default":{"default":"cucharilla"}},"category":"volume"},{"key":"cc","names":["cc"],"mappings":{"default":{"default":"centímetros cúbicos"}},"category":"volume"},{"key":"kl","names":["kl"],"mappings":{"default":{"default":"kilolitro"}},"category":"volume"},{"key":"l","names":["l"],"mappings":{"default":{"default":"litro"}},"category":"volume"},{"key":"ml","names":["ml"],"mappings":{"default":{"default":"mililitro"}},"category":"volume"}]
 ,
-"es/math_characters.js": 
-[{"locale":"es"},{"key":"2113","mappings":{"default":{"default":"script l"}},"category":"Ll"},{"key":"2118","mappings":{"default":{"default":"p de weierstrass"}},"category":"Sm"},{"key":"2145","mappings":{"default":{"default":"mayúscula D"}},"category":"Lu"},{"key":"2146","mappings":{"default":{"default":"d"}},"category":"Ll"},{"key":"2147","mappings":{"default":{"default":"e"}},"category":"Ll"},{"key":"2148","mappings":{"default":{"default":"i"}},"category":"Ll"},{"category":"Ll","mappings":{"default":{"default":"cursiva dotless i"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"cursiva dotless j"}},"key":"1D6A5"}]
+"es/units/weight.js": 
+[{"locale":"es"},{"key":"lb","names":["lb","lb."],"mappings":{"default":{"default":"libra"}},"category":"weight"},{"key":"LT","names":["LT","L.T."],"mappings":{"default":{"default":"libras imperiales"}},"category":"weight"},{"key":"oz","names":["oz","oz."],"mappings":{"default":{"default":"onza"}},"category":"weight"},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"microgramo"}},"category":"weight"},{"key":"gr","names":["g","gr"],"mappings":{"default":{"default":"gramo"}},"category":"weight"},{"key":"kg","names":["kg"],"mappings":{"default":{"default":"kilogramo"}},"category":"weight"},{"key":"mg","names":["mg"],"mappings":{"default":{"default":"miligramo"}},"category":"weight"},{"key":"t","names":["t","T"],"mappings":{"default":{"default":"tonelada"}},"category":"weight"}]
 ,
-"es/math_delimiters.js": 
-[{"locale":"es"},{"key":"0028","mappings":{"default":{"default":"paréntesis izquierdo","defaultMP":"paréntesis"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"paréntesis derecho","defaultMP":"cierra paréntesis"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"corchete izquierdo","defaultMP":"abre corchetes"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"corchete derecho","defaultMP":"cierra corchetes"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"llave izquierda","defaultMP":"abre llaves"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"llaves derecha","defaultMP":"cierra llaves"}},"category":"Pe"},{"key":"2308","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"Sm"},{"key":"2309","mappings":{"default":{"default":"esquina superior derecha"}},"category":"Sm"},{"key":"230A","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"Sm"},{"key":"230B","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"Sm"},{"key":"230C","mappings":{"default":{"default":"corte inferior derecho"}},"category":"So"},{"key":"230D","mappings":{"default":{"default":"corte inferior izquierdo"}},"category":"So"},{"key":"230E","mappings":{"default":{"default":"corte superior derecho "}},"category":"So"},{"key":"230F","mappings":{"default":{"default":"corte superior izquierdo"}},"category":"So"},{"key":"231C","mappings":{"default":{"default":"ángulo superior izquierdo"}},"category":"So"},{"key":"231D","mappings":{"default":{"default":"ángulo superior derecho"}},"category":"So"},{"key":"231E","mappings":{"default":{"default":"ángulo inferior izquierdo"}},"category":"So"},{"key":"231F","mappings":{"default":{"default":"ángulo inferior derecho"}},"category":"So"},{"key":"2320","mappings":{"default":{"default":"mitad superior de integral"}},"category":"Sm"},{"key":"2321","mappings":{"default":{"default":"mitad inferior de integral"}},"category":"Sm"},{"key":"2329","mappings":{"default":{"default":"paréntesis angular izquierdo"}},"category":"Ps"},{"key":"232A","mappings":{"default":{"default":"paréntesis angular derecho"}},"category":"Pe"},{"key":"23B0","mappings":{"default":{"default":"izquierda arriba o derecho debajo sección llave"}},"category":"Sm"},{"key":"23B1","mappings":{"default":{"default":"derecha arriba o izquierdo debajo sección llave"}},"category":"Sm"},{"key":"23B4","mappings":{"default":{"default":"corchete superior"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"corchete inferior"}},"category":"So"},{"key":"23DC","mappings":{"default":{"default":"paréntesis superior"}},"category":"Sm"},{"key":"23DD","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Sm"},{"key":"23DE","mappings":{"default":{"default":"corchete rizado superior"}},"category":"Sm"},{"key":"23DF","mappings":{"default":{"default":"corchete rizado inferior"}},"category":"Sm"},{"key":"23E0","mappings":{"default":{"default":"corchete superior en tortuga"}},"category":"Sm"},{"key":"23E1","mappings":{"default":{"default":"corchete inferior en tortuga"}},"category":"Sm"},{"key":"27C5","mappings":{"default":{"default":"símbolo delimitador izquierdo de bolsa de s-formó"}},"category":"Ps"},{"key":"27C6","mappings":{"default":{"default":"símbolo delimitador derecho de bolsa de s-formó"}},"category":"Pe"},{"key":"27E6","mappings":{"default":{"default":"corchete vacío izquierdo"}},"category":"Ps"},{"key":"27E7","mappings":{"default":{"default":"corchete vacío derecho"}},"category":"Pe"},{"key":"27E8","mappings":{"default":{"default":"corchete agudo izquierdo"}},"category":"Ps"},{"key":"27E9","mappings":{"default":{"default":"corchete agudo derecho"}},"category":"Pe"},{"key":"27EA","mappings":{"default":{"default":"doble corchete agudo izquierdo"}},"category":"Ps"},{"key":"27EB","mappings":{"default":{"default":"doble corchete agudo derecho"}},"category":"Pe"},{"key":"27EC","mappings":{"default":{"default":"corchete de tortuga vacío izquierdo"}},"category":"Ps"},{"key":"27ED","mappings":{"default":{"default":"corchete de tortuga vacío derecho "}},"category":"Pe"},{"key":"27EE","mappings":{"default":{"default":"paréntesis plano izquierdo"}},"category":"Ps"},{"key":"27EF","mappings":{"default":{"default":"paréntesis plano derecho"}},"category":"Pe"},{"key":"2985","mappings":{"default":{"default":"left white paren"}},"category":"Ps"},{"key":"2986","mappings":{"default":{"default":"right white paren"}},"category":"Pe"},{"key":"2989","mappings":{"default":{"default":"z notation left binding bracket"}},"category":"Ps"},{"key":"298A","mappings":{"default":{"default":"z notation right binding bracket"}},"category":"Pe"},{"key":"298B","mappings":{"default":{"default":"left bracket with underbar"}},"category":"Ps"},{"key":"298C","mappings":{"default":{"default":"right bracket with underbar"}},"category":"Pe"},{"key":"298D","mappings":{"default":{"default":"left bracket with tick in top corner"}},"category":"Ps"},{"key":"298E","mappings":{"default":{"default":"right bracket with tick in bottom corner"}},"category":"Pe"},{"key":"298F","mappings":{"default":{"default":"left bracket with tick in bottom corner"}},"category":"Ps"},{"key":"2990","mappings":{"default":{"default":"right bracket with tick in top corner"}},"category":"Pe"},{"key":"2991","mappings":{"default":{"default":"left angle bracket with dot"}},"category":"Ps"},{"key":"2992","mappings":{"default":{"default":"right angle bracket with dot"}},"category":"Pe"},{"key":"2993","mappings":{"default":{"default":"left arc less than bracket"}},"category":"Ps"},{"key":"2994","mappings":{"default":{"default":"right arc greater than bracket"}},"category":"Pe"},{"key":"2995","mappings":{"default":{"default":"double left arc greater than bracket"}},"category":"Ps"},{"key":"2996","mappings":{"default":{"default":"double right arc less than bracket"}},"category":"Pe"},{"key":"29DA","mappings":{"default":{"default":"left double wiggly fence"}},"category":"Ps"},{"key":"29DB","mappings":{"default":{"default":"right double wiggly fence"}},"category":"Pe"},{"key":"300A","mappings":{"default":{"default":"paréntesis angular doble"}},"category":"Ps"},{"key":"300B","mappings":{"default":{"default":"paréntesis angular doble derecho","defaultMP":"cierra paréntesis angular doble"}},"category":"Pe"},{"key":"3014","mappings":{"default":{"default":"left tortoise shell bracket"}},"category":"Ps"},{"key":"3015","mappings":{"default":{"default":"right tortoise shell bracket"}},"category":"Pe"},{"key":"301A","mappings":{"default":{"default":"corchete vacío"}},"category":"Ps"},{"key":"301B","mappings":{"default":{"default":"corchete vacío derecho","defaultMP":"cierra corchete vacío"}},"category":"Pe"},{"key":"301E","mappings":{"default":{"default":"segunda"}},"category":"Pe"},{"key":"FE35","mappings":{"default":{"default":"paréntesis superior"}},"category":"Ps"},{"key":"FE36","mappings":{"default":{"default":"paréntesis inferior"}},"category":"Pe"},{"key":"FE37","mappings":{"default":{"default":"llave superior"}},"category":"Ps"},{"key":"FE38","mappings":{"default":{"default":"llave inferior"}},"category":"Pe"},{"key":"FE3F","mappings":{"default":{"default":"paréntesis angular superior"}},"category":"Ps"},{"key":"FE40","mappings":{"default":{"default":"paréntesis angular inferior"}},"category":"Pe"}]
+"fr/functions/algebra.js": 
+[{"locale":"fr"},{"category":"Algebra","mappings":{"default":{"default":"degré"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"déterminant"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"dimension"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"homomorphisme"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"noyau"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"trace"}},"key":"Tr","names":["Tr","tr"]}]
 ,
-"es/math_digits.js": 
-[{"locale":"es"},{"key":"00B2","mappings":{"default":{"default":"super 2"}},"category":"No"},{"key":"00B3","mappings":{"default":{"default":"super 3"}},"category":"No"},{"key":"00B9","mappings":{"default":{"default":"super 1"}},"category":"No"},{"key":"00BC","mappings":{"default":{"default":"un cuarto"}},"category":"No"},{"key":"00BD","mappings":{"default":{"default":"un medio"}},"category":"No"},{"key":"00BE","mappings":{"default":{"default":"tres cuartos"}},"category":"No"},{"key":"2153","mappings":{"default":{"default":"un tercio"}},"category":"No"},{"key":"2154","mappings":{"default":{"default":"dos tercios"}},"category":"No"},{"key":"2155","mappings":{"default":{"default":"un quinto"}},"category":"No"},{"key":"2156","mappings":{"default":{"default":"dos quintos"}},"category":"No"},{"key":"2157","mappings":{"default":{"default":"tres quintos"}},"category":"No"},{"key":"2158","mappings":{"default":{"default":"cuatro quintos"}},"category":"No"},{"key":"2159","mappings":{"default":{"default":"un sexto"}},"category":"No"},{"key":"215A","mappings":{"default":{"default":"cinco sextos"}},"category":"No"},{"key":"215B","mappings":{"default":{"default":"un octavo"}},"category":"No"},{"key":"215C","mappings":{"default":{"default":"tres octavos"}},"category":"No"},{"key":"215D","mappings":{"default":{"default":"cinco octavos"}},"category":"No"},{"key":"215E","mappings":{"default":{"default":"siete octavos"}},"category":"No"},{"category":"Nd","mappings":{"default":{"default":"negrita 0"}},"key":"1D7CE"},{"category":"Nd","mappings":{"default":{"default":"negrita 1"}},"key":"1D7CF"},{"category":"Nd","mappings":{"default":{"default":"negrita 2"}},"key":"1D7D0"},{"category":"Nd","mappings":{"default":{"default":"negrita 3"}},"key":"1D7D1"},{"category":"Nd","mappings":{"default":{"default":"negrita 4"}},"key":"1D7D2"},{"category":"Nd","mappings":{"default":{"default":"negrita 5"}},"key":"1D7D3"},{"category":"Nd","mappings":{"default":{"default":"negrita 6"}},"key":"1D7D4"},{"category":"Nd","mappings":{"default":{"default":"negrita 7"}},"key":"1D7D5"},{"category":"Nd","mappings":{"default":{"default":"negrita 8"}},"key":"1D7D6"},{"category":"Nd","mappings":{"default":{"default":"negrita 9"}},"key":"1D7D7"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 0"}},"key":"1D7D8"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 1"}},"key":"1D7D9"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 2"}},"key":"1D7DA"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 3"}},"key":"1D7DB"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 4"}},"key":"1D7DC"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 5"}},"key":"1D7DD"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 6"}},"key":"1D7DE"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 7"}},"key":"1D7DF"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 8"}},"key":"1D7E0"},{"category":"Nd","mappings":{"default":{"default":"negrita de pizarra 9"}},"key":"1D7E1"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 0"}},"key":"1D7E2"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 1"}},"key":"1D7E3"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 2"}},"key":"1D7E4"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 3"}},"key":"1D7E5"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 4"}},"key":"1D7E6"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 5"}},"key":"1D7E7"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 6"}},"key":"1D7E8"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 7"}},"key":"1D7E9"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 8"}},"key":"1D7EA"},{"category":"Nd","mappings":{"default":{"default":"sans-serif 9"}},"key":"1D7EB"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 0"}},"key":"1D7EC"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 1"}},"key":"1D7ED"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 2"}},"key":"1D7EE"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 3"}},"key":"1D7EF"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 4"}},"key":"1D7F0"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 5"}},"key":"1D7F1"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 6"}},"key":"1D7F2"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 7"}},"key":"1D7F3"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 8"}},"key":"1D7F4"},{"category":"Nd","mappings":{"default":{"default":"sans-serif negrita 9"}},"key":"1D7F5"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 0"}},"key":"1D7F6"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 1"}},"key":"1D7F7"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 2"}},"key":"1D7F8"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 3"}},"key":"1D7F9"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 4"}},"key":"1D7FA"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 5"}},"key":"1D7FB"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 6"}},"key":"1D7FC"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 7"}},"key":"1D7FD"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 8"}},"key":"1D7FE"},{"category":"Nd","mappings":{"default":{"default":"monoespacio 9"}},"key":"1D7FF"},{"category":"No","mappings":{"default":{"default":"0 punto"}},"key":"1F100"},{"category":"No","mappings":{"default":{"default":"0 coma"}},"key":"1F101"},{"category":"No","mappings":{"default":{"default":"1 coma"}},"key":"1F102"},{"category":"No","mappings":{"default":{"default":"2 coma"}},"key":"1F103"},{"category":"No","mappings":{"default":{"default":"3 coma"}},"key":"1F104"},{"category":"No","mappings":{"default":{"default":"4 coma"}},"key":"1F105"},{"category":"No","mappings":{"default":{"default":"5 coma"}},"key":"1F106"},{"category":"No","mappings":{"default":{"default":"6 coma"}},"key":"1F107"},{"category":"No","mappings":{"default":{"default":"7 coma"}},"key":"1F108"},{"category":"No","mappings":{"default":{"default":"8 coma"}},"key":"1F109"},{"category":"No","mappings":{"default":{"default":"9 coma"}},"key":"1F10A"}]
+"fr/functions/elementary.js": 
+[{"locale":"fr"},{"key":"log","mappings":{"default":{"default":"log"}},"category":"Logarithm","names":["log"]},{"key":"ln","mappings":{"default":{"default":"logarithme népérien"}},"category":"Logarithm","names":["ln"]},{"key":"lg","names":["lg"],"mappings":{"default":{"default":"logarithme décimal"}},"category":"Logarithm"},{"key":"exp","names":["exp","expt"],"mappings":{"default":{"default":"exponentielle"}},"category":"Elementary"},{"key":"gcd","names":["gcd","PGCD","pgcd"],"mappings":{"default":{"default":"plus grand commun diviseur"},"mathspeak":{"default":"pgcd"},"clearspeak":{"default":"pgcd"}},"category":"Elementary"},{"key":"lcm","names":["lcm","ppcm","PPCM","PPMC","ppmc"],"mappings":{"default":{"default":"plus petit commun multiple"},"mathspeak":{"default":"ppcm"},"clearspeak":{"default":"ppcm"}},"category":"Elementary"},{"key":"arg","names":["arg"],"mappings":{"default":{"default":"argument"}},"category":"Complex"},{"key":"im","names":["im"],"mappings":{"default":{"default":"partie imaginaire"}},"category":"Complex"},{"key":"re","names":["re"],"mappings":{"default":{"default":"partie réelle"}},"category":"Complex"},{"key":"inf","names":["inf"],"mappings":{"default":{"default":"borne inférieure"}},"category":"Limits"},{"key":"lim","mappings":{"default":{"default":"limite"}},"category":"Limits","names":["lim"]},{"key":"max","names":["max"],"mappings":{"default":{"default":"maximum"}},"category":"Limits"},{"key":"min","names":["min"],"mappings":{"default":{"default":"minimum"}},"category":"Limits"},{"key":"sup","names":["sup"],"mappings":{"default":{"default":"borne supérieure"}},"category":"Limits"},{"key":"lim inf","names":["lim inf","liminf"],"mappings":{"default":{"default":"limite inferior"}},"category":"Limits"},{"key":"lim sup","names":["lim sup","limsup"],"mappings":{"default":{"default":"limite superior"}},"category":"Limits"},{"key":"injlim","names":["injlim","inj lim"],"mappings":{"default":{"default":"limite inductive"}},"category":"Limits"},{"key":"projlim","names":["projlim","proj lim"],"mappings":{"default":{"default":"limite projective"}},"category":"Limits"},{"key":"mod","names":["mod"],"mappings":{"default":{"default":"modulo"}},"category":"Elementary"},{"key":"Pr","names":["Pr"],"mappings":{"default":{"default":"probabilité"}},"category":"Probability"}]
 ,
-"es/math_geometry.js": 
-[{"locale":"es"},{"key":"2500","mappings":{"default":{"default":"delimitador horizontal"}},"category":"So"},{"key":"2502","mappings":{"default":{"default":"delimitador vertical"}},"category":"So"},{"key":"250C","mappings":{"default":{"default":"esquina inferior derecha"}},"category":"So"},{"key":"2510","mappings":{"default":{"default":"esquina inferior izquierda"}},"category":"So"},{"key":"2514","mappings":{"default":{"default":"esquina superior derecha"}},"category":"So"},{"key":"2518","mappings":{"default":{"default":"esquina superior izquierda"}},"category":"So"},{"key":"251C","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal"}},"category":"So"},{"key":"2524","mappings":{"default":{"default":"delimitador derecho y separador horizontal"}},"category":"So"},{"key":"252C","mappings":{"default":{"default":"delimitador superior y separador vertical"}},"category":"So"},{"key":"2534","mappings":{"default":{"default":"delimitador inferior y separador vertical"}},"category":"So"},{"key":"253C","mappings":{"default":{"default":"cruce de separadores sencillos"}},"category":"So"},{"key":"2550","mappings":{"default":{"default":"delimitador horizontal doble"}},"category":"So"},{"key":"2551","mappings":{"default":{"default":"delimitador vertical doble"}},"category":"So"},{"key":"2552","mappings":{"default":{"default":"esquina inferior derecha, vertical doble"}},"category":"So"},{"key":"2553","mappings":{"default":{"default":"esquina inferior derecha, horizontal doble"}},"category":"So"},{"key":"2554","mappings":{"default":{"default":"esquina inferior derecha doble"}},"category":"So"},{"key":"2555","mappings":{"default":{"default":"esquina inferior izquierda, vertical doble"}},"category":"So"},{"key":"2556","mappings":{"default":{"default":"esquina inferior izquierda, horizontal doble"}},"category":"So"},{"key":"2557","mappings":{"default":{"default":"esquina inferior izquierda doble"}},"category":"So"},{"key":"2558","mappings":{"default":{"default":"esquina superior derecha, vertical doble"}},"category":"So"},{"key":"2559","mappings":{"default":{"default":"esquina superior derecha, horizontal doble"}},"category":"So"},{"key":"255A","mappings":{"default":{"default":"esquina superior derecha doble"}},"category":"So"},{"key":"255B","mappings":{"default":{"default":"esquina superior izquierda, vertical doble"}},"category":"So"},{"key":"255C","mappings":{"default":{"default":"esquina superior izquierda, horizontal doble"}},"category":"So"},{"key":"255D","mappings":{"default":{"default":"esquina superior izquierda doble"}},"category":"So"},{"key":"255E","mappings":{"default":{"default":"delimitador izquierdo con separador doble"}},"category":"So"},{"key":"255F","mappings":{"default":{"default":"delimitador izquierdo doble con separador horizontal"}},"category":"So"},{"key":"2560","mappings":{"default":{"default":"delimitador izquierdo y separador horizontal dobles"}},"category":"So"},{"key":"2561","mappings":{"default":{"default":"delimitador derecho con separador doble"}},"category":"So"},{"key":"2562","mappings":{"default":{"default":"delimitador derecho doble con separador horizontal"}},"category":"So"},{"key":"2563","mappings":{"default":{"default":"delimitador derecho y separador horizontal dobles"}},"category":"So"},{"key":"2564","mappings":{"default":{"default":"delimitador superior doble con separador vertical"}},"category":"So"},{"key":"2565","mappings":{"default":{"default":"delimitador superior con separador vertical doble"}},"category":"So"},{"key":"2566","mappings":{"default":{"default":"delimitador superior y separador vertical dobles"}},"category":"So"},{"key":"2567","mappings":{"default":{"default":"delimitador inferior doble con separador vertical"}},"category":"So"},{"key":"2568","mappings":{"default":{"default":"delimitador inferior con separador vertical doble"}},"category":"So"},{"key":"2569","mappings":{"default":{"default":"delimitador inferior y separador vertical dobles"}},"category":"So"},{"key":"256A","mappings":{"default":{"default":"cruce de separadores, vertical sencillo y horizontal doble"}},"category":"So"},{"key":"256B","mappings":{"default":{"default":"cruce de separadores, vertical doble y horizontal sencillo"}},"category":"So"},{"key":"256C","mappings":{"default":{"default":"cruce de separadores dobles"}},"category":"So"},{"key":"2580","mappings":{"default":{"default":"bloque mitad superior"}},"category":"So"},{"key":"2584","mappings":{"default":{"default":"bloque mitad inferior"}},"category":"So"},{"key":"2588","mappings":{"default":{"default":"bloque"}},"category":"So"},{"key":"2591","mappings":{"default":{"default":"sombra ligera"}},"category":"So"},{"key":"2592","mappings":{"default":{"default":"sombra media"}},"category":"So"},{"key":"2593","mappings":{"default":{"default":"sombra intensa"}},"category":"So"},{"key":"25A0","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25A1","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"key":"25AA","mappings":{"default":{"default":"cuadrado relleno"}},"category":"So"},{"key":"25AB","mappings":{"default":{"default":"cuadrado"}},"category":"So"},{"key":"25AD","mappings":{"default":{"default":"rectángulo"}},"category":"So"},{"key":"25AE","mappings":{"default":{"default":"rectángulo relleno vertical"}},"category":"So"},{"key":"25AF","mappings":{"default":{"default":"rectángulo vertical"}},"category":"So"},{"key":"25B1","mappings":{"default":{"default":"paralelogramo"}},"category":"So"},{"key":"25B2","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B3","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B4","mappings":{"default":{"default":"triángulo relleno"}},"category":"So"},{"key":"25B5","mappings":{"default":{"default":"triángulo"}},"category":"So"},{"key":"25B6","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B7","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"Sm"},{"key":"25B8","mappings":{"default":{"default":"triángulo relleno señala derecha"}},"category":"So"},{"key":"25B9","mappings":{"default":{"default":"triángulo señala derecha"}},"category":"So"},{"key":"25BC","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BD","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25BE","mappings":{"default":{"default":"triángulo relleno señala abajo"}},"category":"So"},{"key":"25BF","mappings":{"default":{"default":"triángulo señala abajo"}},"category":"So"},{"key":"25C0","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C1","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"Sm"},{"key":"25C2","mappings":{"default":{"default":"triángulo relleno señala izquierda"}},"category":"So"},{"key":"25C3","mappings":{"default":{"default":"triángulo señala izquierda"}},"category":"So"},{"key":"25C4","mappings":{"default":{"default":"puntero relleno señala izquierda"}},"category":"So"},{"key":"25C5","mappings":{"default":{"default":"puntero señala izquierda"}},"category":"So"},{"key":"25C6","mappings":{"default":{"default":"diamante relleno"}},"category":"So"},{"key":"25C7","mappings":{"default":{"default":"diamante"}},"category":"So"},{"key":"25C8","mappings":{"default":{"default":"diamante vacío contiene diamante relleno"}},"category":"So"},{"key":"25C9","mappings":{"default":{"default":"ojo de pez"}},"category":"So"},{"key":"25CA","mappings":{"default":{"default":"rombo"}},"category":"So"},{"key":"25CB","mappings":{"default":{"default":"círculo vacío"}},"category":"So"},{"key":"25CC","mappings":{"default":{"default":"círculo punteado"}},"category":"So"},{"key":"25CD","mappings":{"default":{"default":"círculo con relleno vertical"}},"category":"So"},{"key":"25CE","mappings":{"default":{"default":"blanco"}},"category":"So"},{"key":"25CF","mappings":{"default":{"default":"círculo relleno"}},"category":"So"},{"key":"25D0","mappings":{"default":{"default":"círculo con mitad izquierda rellena"}},"category":"So"},{"key":"25D1","mappings":{"default":{"default":"círculo con mitad derecha rellena"}},"category":"So"},{"key":"25D2","mappings":{"default":{"default":"círculo con mitad inferior rellena"}},"category":"So"},{"key":"25D3","mappings":{"default":{"default":"círculo con mitad superior rellena"}},"category":"So"},{"key":"25D4","mappings":{"default":{"default":"círculo con cuadrante superior derecho relleno"}},"category":"So"},{"key":"25D5","mappings":{"default":{"default":"círculo con cuadrante superior izquierdo relleno"}},"category":"So"},{"key":"25D6","mappings":{"default":{"default":"semicírculo izquierdo relleno"}},"category":"So"},{"key":"25D7","mappings":{"default":{"default":"semicírculo derecho relleno"}},"category":"So"},{"key":"25D8","mappings":{"default":{"default":"bullet inversa"}},"category":"So"},{"key":"25D9","mappings":{"default":{"default":"círculo vacío inverso"}},"category":"So"},{"key":"25DA","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DB","mappings":{"default":{"default":"semicírculo superior vacío inverso"}},"category":"So"},{"key":"25DC","mappings":{"default":{"default":"arco superior izquierda"}},"category":"So"},{"key":"25DD","mappings":{"default":{"default":"arco superior derecha"}},"category":"So"},{"key":"25DE","mappings":{"default":{"default":"arco inferior derecha"}},"category":"So"},{"key":"25DF","mappings":{"default":{"default":"arco inferior izquierda"}},"category":"So"},{"key":"25E0","mappings":{"default":{"default":"semicírculo superior"}},"category":"So"},{"key":"25E1","mappings":{"default":{"default":"semicírculo inferior"}},"category":"So"},{"key":"25E2","mappings":{"default":{"default":"triángulo inferior derecha relleno"}},"category":"So"},{"key":"25E3","mappings":{"default":{"default":"triángulo inferior izquierda relleno"}},"category":"So"},{"key":"25E4","mappings":{"default":{"default":"triángulo superior izquierda relleno"}},"category":"So"},{"key":"25E5","mappings":{"default":{"default":"triángulo superior derecha relleno"}},"category":"So"},{"key":"25E6","mappings":{"default":{"default":"composición"}},"category":"So"},{"key":"25E7","mappings":{"default":{"default":"cuadrado con mitad izquierda rellena"}},"category":"So"},{"key":"25E8","mappings":{"default":{"default":"cuadrado con mitad derecha rellena"}},"category":"So"},{"key":"25E9","mappings":{"default":{"default":"cuadrado con mitad superior izquierda rellena"}},"category":"So"},{"key":"25EA","mappings":{"default":{"default":"cuadrado con mitad inferior derecha rellena"}},"category":"So"},{"key":"25EB","mappings":{"default":{"default":"cuadrado con bisectriz"}},"category":"So"},{"key":"25EC","mappings":{"default":{"default":"triángulo vacío con punto"}},"category":"So"},{"key":"25ED","mappings":{"default":{"default":"triángulo apuntando arriba con mitad izquierda rellena"}},"category":"So"},{"key":"25EE","mappings":{"default":{"default":"triángulo apuntando arriba con mitad derecha rellena"}},"category":"So"},{"key":"25EF","mappings":{"default":{"default":"círculo grande"}},"category":"So"},{"key":"25F8","mappings":{"default":{"default":"triángulo superior izquierda"}},"category":"Sm"},{"key":"25F9","mappings":{"default":{"default":"triángulo superior derecha"}},"category":"Sm"},{"key":"25FA","mappings":{"default":{"default":"triángulo inferior izquierda"}},"category":"Sm"},{"key":"25FB","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FC","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FD","mappings":{"default":{"default":"cuadrado mediano vacío"}},"category":"Sm"},{"key":"25FE","mappings":{"default":{"default":"cuadrado mediano relleno"}},"category":"Sm"},{"key":"25FF","mappings":{"default":{"default":"triángulo inferior derecha"}},"category":"Sm"},{"key":"2B50","mappings":{"default":{"default":"estrella media vacía"}},"category":"So"},{"key":"2B51","mappings":{"default":{"default":"estrella pequeña rellena"}},"category":"So"},{"key":"2B52","mappings":{"default":{"default":"estrella pequeña vacía"}},"category":"So"}]
+"fr/functions/hyperbolic.js": 
+[{"locale":"fr"},{"key":"cosh","mappings":{"default":{"default":"cosinus hyperbolique"}},"category":"Hyperbolic","names":["cosh"]},{"key":"coth","mappings":{"default":{"default":"cotangente hyperbolique"}},"category":"Hyperbolic","names":["coth"]},{"key":"csch","mappings":{"default":{"default":"cosécante hyperbolique"}},"category":"Hyperbolic","names":["csch"]},{"key":"sech","mappings":{"default":{"default":"sécante hyperbolique"}},"category":"Hyperbolic","names":["sech"]},{"key":"sinh","mappings":{"default":{"default":"sinus hyperbolique"}},"category":"Hyperbolic","names":["sinh"]},{"key":"tanh","mappings":{"default":{"default":"tangente hyperbolique"}},"category":"Hyperbolic","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"argument cosinus hyperbolique"}},"key":"arcosh","names":["arcosh","arccosh","argch"]},{"category":"Area","mappings":{"default":{"default":"argument cotangente hyperbolique"}},"key":"arcoth","names":["arcoth","arccoth","argcoth"]},{"category":"Area","mappings":{"default":{"default":"argument cosécante hyperbolique"}},"key":"arcsch","names":["arcsch","arccsch","argcsch"]},{"category":"Area","mappings":{"default":{"default":"argument sécante hyperbolique"}},"key":"arsech","names":["arsech","arcsech","argsech"]},{"category":"Area","mappings":{"default":{"default":"argument sinus hyperbolique"}},"key":"arsinh","names":["arsinh","arcsinh","argsh"]},{"category":"Area","mappings":{"default":{"default":"argument tangente hyperbolique"}},"key":"artanh","names":["artanh","arctanh","argth"]}]
 ,
-"es/math_harpoons.js": 
-[{"locale":"es"},{"key":"21BC","mappings":{"default":{"default":"flecha izquierda con arpón arriba"}},"category":"So"},{"key":"21BD","mappings":{"default":{"default":"flecha izquierda con arpón debajo"}},"category":"So"},{"key":"21BE","mappings":{"default":{"default":"flecha arriba con arpón derecho"}},"category":"So"},{"key":"21BF","mappings":{"default":{"default":"flecha arriba con arpón izquierdo"}},"category":"So"},{"key":"21C0","mappings":{"default":{"default":"flecha derecha con arpón arriba"}},"category":"So"},{"key":"21C1","mappings":{"default":{"default":"flecha derecha con arpón debajo"}},"category":"So"},{"key":"21C2","mappings":{"default":{"default":"flecha abajo con arpón derecho"}},"category":"So"},{"key":"21C3","mappings":{"default":{"default":"flecha abajo con arpón izquierdo"}},"category":"So"},{"key":"21CB","mappings":{"default":{"default":"arpón izquierdo arriba de arpón derecho"}},"category":"So"},{"key":"21CC","mappings":{"default":{"default":"arpón derecho arriba de arpón izquierdo"}},"category":"So"},{"key":"294A","mappings":{"default":{"default":"left barb up right barb down harpoon"}},"category":"Sm"},{"key":"294B","mappings":{"default":{"default":"left barb down right barb up harpoon"}},"category":"Sm"},{"key":"294E","mappings":{"default":{"default":"left barb up right barb up harpoon"}},"category":"Sm"},{"key":"294F","mappings":{"default":{"default":"arpón a la derecha hacia arriba y abajo"}},"category":"Sm"},{"key":"2950","mappings":{"default":{"default":"left barb down right barb down harpoon"}},"category":"Sm"},{"key":"2951","mappings":{"default":{"default":"arpón a la izquierda hacia arriba y abajo"}},"category":"Sm"},{"key":"2952","mappings":{"default":{"default":"leftwards harpoon to bar with barb upwards"}},"category":"Sm"},{"key":"2953","mappings":{"default":{"default":"rightwards harpoon to bar with barb upwards"}},"category":"Sm"},{"key":"2954","mappings":{"default":{"default":"upwards harpoon to bar with barb rightwards"}},"category":"Sm"},{"key":"2955","mappings":{"default":{"default":"downwards harpoon to bar with barb rightwards"}},"category":"Sm"},{"key":"2956","mappings":{"default":{"default":"leftwards harpoon to bar with barb downwards"}},"category":"Sm"},{"key":"2957","mappings":{"default":{"default":"rightwards harpoon to bar with barb downwards"}},"category":"Sm"},{"key":"2958","mappings":{"default":{"default":"upwards harpoon to bar with barb leftwards"}},"category":"Sm"},{"key":"2959","mappings":{"default":{"default":"downwards harpoon to bar with barb leftwards"}},"category":"Sm"},{"key":"295A","mappings":{"default":{"default":"leftwards harpoon from bar with barb upwards"}},"category":"Sm"},{"key":"295B","mappings":{"default":{"default":"rightwards harpoon from bar with barb upwards"}},"category":"Sm"},{"key":"295C","mappings":{"default":{"default":"upwards harpoon from bar with barb rightwards"}},"category":"Sm"},{"key":"295D","mappings":{"default":{"default":"downwards harpoon from bar with barb rightwards"}},"category":"Sm"},{"key":"295E","mappings":{"default":{"default":"leftwards harpoon from bar with barb downwards"}},"category":"Sm"},{"key":"295F","mappings":{"default":{"default":"rightwards harpoon from bar with barb downwards"}},"category":"Sm"},{"key":"2960","mappings":{"default":{"default":"upwards harpoon from bar with barb leftwards"}},"category":"Sm"},{"key":"2961","mappings":{"default":{"default":"downwards harpoon from bar with barb leftwards"}},"category":"Sm"},{"key":"2962","mappings":{"default":{"default":"leftwards harpoon with barb up above leftwards harpoon with barb down"}},"category":"Sm"},{"key":"2963","mappings":{"default":{"default":"upwards harpoon with barb left beside upwards harpoon with barb right"}},"category":"Sm"},{"key":"2964","mappings":{"default":{"default":"rightwards harpoon with barb up above rightwards harpoon with barb down"}},"category":"Sm"},{"key":"2965","mappings":{"default":{"default":"downwards harpoon with barb left beside downwards harpoon with barb right"}},"category":"Sm"},{"key":"2966","mappings":{"default":{"default":"leftwards harpoon with barb up above rightwards harpoon with barb up"}},"category":"Sm"},{"key":"2967","mappings":{"default":{"default":"leftwards harpoon with barb down above rightwards harpoon with barb down"}},"category":"Sm"},{"key":"2968","mappings":{"default":{"default":"rightwards harpoon with barb up above leftwards harpoon with barb up"}},"category":"Sm"},{"key":"2969","mappings":{"default":{"default":"rightwards harpoon with barb down above leftwards harpoon with barb down"}},"category":"Sm"},{"key":"296A","mappings":{"default":{"default":"barra con arpón hacia la izquierda"}},"category":"Sm"},{"key":"296B","mappings":{"default":{"default":"arpón hacia la izquierda con barra"}},"category":"Sm"},{"key":"296C","mappings":{"default":{"default":"barra con arpón hacia la derecha"}},"category":"Sm"},{"key":"296D","mappings":{"default":{"default":"arpón hacia la derecha con barra"}},"category":"Sm"},{"key":"296E","mappings":{"default":{"default":"upwards harpoon to the left of downwards harpoon"}},"category":"Sm"},{"key":"296F","mappings":{"default":{"default":"upwards harpoon to the right of downwards harpoon"}},"category":"Sm"},{"key":"297C","mappings":{"default":{"default":"left fish tail"}},"category":"Sm"},{"key":"297D","mappings":{"default":{"default":"right fish tail"}},"category":"Sm"},{"key":"297E","mappings":{"default":{"default":"barra con doble gancho"}},"category":"Sm"},{"key":"297F","mappings":{"default":{"default":"down fish tail"}},"category":"Sm"}]
+"fr/functions/trigonometry.js": 
+[{"locale":"fr"},{"key":"cos","mappings":{"default":{"default":"cosinus"}},"category":"Trigonometric","names":["cos","cosine"]},{"key":"cot","mappings":{"default":{"default":"cotangente"}},"category":"Trigonometric","names":["cot"]},{"key":"csc","mappings":{"default":{"default":"cosécante"}},"category":"Trigonometric","names":["csc"]},{"key":"sec","mappings":{"default":{"default":"sécante"}},"category":"Trigonometric","names":["sec"]},{"key":"sin","mappings":{"default":{"default":"sinus"}},"category":"Trigonometric","names":["sin","sine"]},{"key":"tan","mappings":{"default":{"default":"tangente"}},"category":"Trigonometric","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosinus"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cotangente"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc cosécante"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc sécante"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc sinus"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"arc tangente"}},"key":"arctan","names":["arctan"]}]
 ,
-"es/math_non_characters.js": 
-[{"locale":"es"},{"key":"210F","mappings":{"default":{"default":"h barra"}},"category":"Ll"},{"key":"2116","mappings":{"default":{"default":"signo de número"}},"category":"So"},{"key":"2117","mappings":{"default":{"default":"derechos de autor de sonido"}},"category":"So"},{"key":"211E","mappings":{"default":{"default":"receta"}},"category":"So"},{"key":"2122","mappings":{"default":{"default":"registrado"}},"category":"So"},{"key":"2125","mappings":{"default":{"default":"onza"}},"category":"So"},{"key":"2126","mappings":{"default":{"default":"ohmio"}},"category":"Lu"},{"key":"2127","mappings":{"default":{"default":"ohmio invertido"}},"category":"So"},{"key":"212A","mappings":{"default":{"default":"grados kelvin"}},"category":"Lu"},{"key":"212B","mappings":{"default":{"default":"angstrom"}},"category":"Lu"},{"key":"2132","mappings":{"default":{"default":"mayúscula F invertida"}},"category":"Lu"}]
+"fr/symbols/digits_rest.js": 
+[{"locale":"fr"},{"key":"00B2","mappings":{"default":{"default":"au carré"},"mathspeak":{"default":"au carré"},"clearspeak":{"default":"au carré"}},"category":"No"},{"key":"00B3","mappings":{"default":{"default":"cubique"},"mathspeak":{"default":"cubique"},"clearspeak":{"default":"cubique"}},"category":"No"},{"key":"00BC","mappings":{"default":{"default":"un quart"}},"category":"No"},{"key":"00BD","mappings":{"default":{"default":"un demi"}},"category":"No"},{"key":"00BE","mappings":{"default":{"default":"trois quarts"}},"category":"No"},{"key":"2150","mappings":{"default":{"default":"un septième"}},"category":"No"},{"key":"2151","mappings":{"default":{"default":"un neuvième"}},"category":"No"},{"key":"2152","mappings":{"default":{"default":"un dixième"}},"category":"No"},{"key":"2153","mappings":{"default":{"default":"un tiers"}},"category":"No"},{"key":"2154","mappings":{"default":{"default":"deux tiers"}},"category":"No"},{"key":"2155","mappings":{"default":{"default":"un cinquième"}},"category":"No"},{"key":"2156","mappings":{"default":{"default":"deux cinquièmes"}},"category":"No"},{"key":"2157","mappings":{"default":{"default":"trois cinquièmes"}},"category":"No"},{"key":"2158","mappings":{"default":{"default":"quatre cinquièmes"}},"category":"No"},{"key":"2159","mappings":{"default":{"default":"un sixième"}},"category":"No"},{"key":"215A","mappings":{"default":{"default":"cinq sixièmes"}},"category":"No"},{"key":"215B","mappings":{"default":{"default":"un huitième"}},"category":"No"},{"key":"215C","mappings":{"default":{"default":"trois huitièmes"}},"category":"No"},{"key":"215D","mappings":{"default":{"default":"cinq huitièmes"}},"category":"No"},{"key":"215E","mappings":{"default":{"default":"sept huitièmes"}},"category":"No"},{"key":"215F","mappings":{"default":{"default":"numérateur un"}},"category":"No"},{"key":"2189","mappings":{"default":{"default":"zero tiers"}},"category":"No"},{"key":"3248","mappings":{"default":{"default":"dix cerclé sur carré noir"}},"category":"No"},{"key":"3249","mappings":{"default":{"default":"vingt cerclé sur carré noir"}},"category":"No"},{"key":"324A","mappings":{"default":{"default":"trente cerclé sur carré noir"}},"category":"No"},{"key":"324B","mappings":{"default":{"default":"quarante cerclé sur carré noir"}},"category":"No"},{"key":"324C","mappings":{"default":{"default":"cinquante cerclé sur carré noir"}},"category":"No"},{"key":"324D","mappings":{"default":{"default":"soixante cerclé sur carré noir"}},"category":"No"},{"key":"324E","mappings":{"default":{"default":"soixante dix cerclé sur carré noir"}},"category":"No"},{"key":"324F","mappings":{"default":{"default":"quatre vingts cerclé sur carré noir"}},"category":"No"}]
 ,
-"es/math_symbols.js": 
-[{"locale":"es"},{"key":"0021","mappings":{"default":{"default":"factorial"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"comillas"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"almuhadilla","defaultMP":"signo de número"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"dólar"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"porciento"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"ampersand"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"prima","defaultMP":"apóstrofo"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"por"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"más"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"coma"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"key":"002E","mappings":{"default":{"default":"punto"}},"category":"Po"},{"key":"002F","mappings":{"default":{"default":"barra oblicua"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"dos puntos"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"punto y coma"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"menor que"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"igual"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"mayor que"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"interrogación derecho","defaultMP":"cierra interrogación"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"arroba"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"barra inversa"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circunflejo"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"subrayado"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"acento grave"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"admiración izquierdo","defaultMP":"abre admiración"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"centavo"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"libra esterlina"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"moneda"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"barra vertical partida"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"sección"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"diéresis"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"ordinal femenino"}},"category":"Lo"},{"key":"00AB","mappings":{"default":{"default":"comillas angulares izquierda","defaultMP":"abre comillas angulares"}},"category":"Pi"},{"key":"00AC","mappings":{"default":{"default":"negación"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"registrado"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"barra"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"grado"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"más menos"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"acento agudo"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"micro"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"párrafo"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"punto medio"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"cedilla"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"ordinal masculino"}},"category":"Lo"},{"key":"00BB","mappings":{"default":{"default":"comillas angulares derecha","defaultMP":"cierra comillas angulares"}},"category":"Pf"},{"key":"00BF","mappings":{"default":{"default":"interrogación izquierdo","defaultMP":"abre interrogación"}},"category":"Po"},{"key":"00D7","mappings":{"default":{"default":"por"}},"category":"Sm"},{"key":"00F7","mappings":{"default":{"default":"dividido"}},"category":"Sm"},{"key":"02D8","mappings":{"default":{"default":"breve"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"punto en superescrito"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"anillo en superescrito"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"doble acento agudo"}},"category":"Sk"},{"key":"2010","mappings":{"default":{"default":"menos"}},"category":"Pd"},{"key":"2013","mappings":{"default":{"default":"en raya"}},"category":"Pd"},{"key":"2014","mappings":{"default":{"default":"em raya"}},"category":"Pd"},{"key":"2015","mappings":{"default":{"default":"barra horizontal"}},"category":"Pd"},{"key":"2016","mappings":{"default":{"default":"doble barra vertical"}},"category":"Po"},{"key":"2018","mappings":{"default":{"default":"comilla izquierda"}},"category":"Pi"},{"key":"2019","mappings":{"default":{"default":"comilla derecha"}},"category":"Pf"},{"key":"201A","mappings":{"default":{"default":"comilla bajo 9"}},"category":"Ps"},{"key":"201C","mappings":{"default":{"default":"doble comilla"}},"category":"Pi"},{"key":"201D","mappings":{"default":{"default":"doble comilla derecha"}},"category":"Pf"},{"key":"201E","mappings":{"default":{"default":"doble comilla bajo 9"}},"category":"Ps"},{"key":"2020","mappings":{"default":{"default":"daga"}},"category":"Po"},{"key":"2021","mappings":{"default":{"default":"doble daga"}},"category":"Po"},{"key":"2022","mappings":{"default":{"default":"bala"}},"category":"Po"},{"key":"2025","mappings":{"default":{"default":"dos puntos líder"}},"category":"Po"},{"key":"2026","mappings":{"default":{"default":"puntos suspensivos"}},"category":"Po"},{"key":"2030","mappings":{"default":{"default":"tanto por millar"}},"category":"Po"},{"key":"2031","mappings":{"default":{"default":"tanto por diez mil"}},"category":"Po"},{"key":"2032","mappings":{"default":{"default":"prima"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"segunda"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"tercera"}},"category":"Po"},{"key":"2035","mappings":{"default":{"default":"acento grave"}},"category":"Po"},{"key":"2036","mappings":{"default":{"default":"doble acento grave"}},"category":"Po"},{"key":"2039","mappings":{"default":{"default":"comillas izquierda","defaultMP":"abre comillas"}},"category":"Pi"},{"key":"203A","mappings":{"default":{"default":"comillas derecha","defaultMP":"cierra comillas"}},"category":"Pf"},{"key":"203E","mappings":{"default":{"default":"barra superior"}},"category":"Po"},{"key":"2040","mappings":{"default":{"default":"ligadura"}},"category":"Pc"},{"key":"2041","mappings":{"default":{"default":"punto de inserción"}},"category":"Po"},{"key":"2043","mappings":{"default":{"default":"guión bala"}},"category":"Po"},{"key":"2044","mappings":{"default":{"default":"barra de fracción"}},"category":"Sm"},{"key":"204F","mappings":{"default":{"default":"punto y coma invertido"}},"category":"Po"},{"key":"2050","mappings":{"default":{"default":"cierre superior"}},"category":"Po"},{"key":"2057","mappings":{"default":{"default":"cuarta"}},"category":"Po"},{"key":"2200","mappings":{"default":{"default":"para todo"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"complementario"}},"category":"Sm"},{"key":"2202","mappings":{"default":{"default":"derivada parcial"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"existe"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"no existe"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"conjunto vacío"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"incremento"}},"category":"Sm"},{"key":"2207","mappings":{"default":{"default":"gradiente"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"no perteneciente a"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"perteneciente a"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"no comprende a"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"comprende a"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"fin de demostración"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"producto"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"sumatorio"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"menos más"}},"category":"Sm"},{"key":"2214","mappings":{"default":{"default":"punto más"}},"category":"Sm"},{"key":"2215","mappings":{"default":{"default":"barra de división"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"menos"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"asterisco"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"composición"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"bala"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"raíz"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"raíz cúbica"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"raíz cuarta"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proporcional a"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"infinito"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"ángulo recto"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"ángulo"}},"category":"Sm"},{"key":"2221","mappings":{"default":{"default":"ángulo medido"}},"category":"Sm"},{"key":"2222","mappings":{"default":{"default":"ángulo esférico"}},"category":"Sm"},{"key":"2223","mappings":{"default":{"default":"divide a"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"no divide a"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"paralela a"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"no paralela a"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"integral"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"integral doble"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"integral triple"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"integral de contorno"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"integral de superficie"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"integral de volumen"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"integral de contorno en sentido horario"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"integral de contorno en sentido antihorario"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"por lo tanto"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"porque"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"razón"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"proporción"}},"category":"Sm"},{"key":"2238","mappings":{"default":{"default":"punto menos"}},"category":"Sm"},{"key":"2239","mappings":{"default":{"default":"exceso"}},"category":"Sm"},{"key":"223A","mappings":{"default":{"default":"proporción geométrica"}},"category":"Sm"},{"key":"223B","mappings":{"default":{"default":"homotecia"}},"category":"Sm"},{"key":"223C","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"223D","mappings":{"default":{"default":"tilde invertido"}},"category":"Sm"},{"key":"223E","mappings":{"default":{"default":"s horizontal invertida"}},"category":"Sm"},{"key":"223F","mappings":{"default":{"default":"sinusoide"}},"category":"Sm"},{"key":"2240","mappings":{"default":{"default":"producto de guirnalda"}},"category":"Sm"},{"key":"2241","mappings":{"default":{"default":"no tilde"}},"category":"Sm"},{"key":"2242","mappings":{"default":{"default":"menos tilde"}},"category":"Sm"},{"key":"2243","mappings":{"default":{"default":"asintóticamente igual a"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"no asintóticamente igual a"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"aproximadamente igual a"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"aproximado pero no igual a"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"no aproximado a"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"aproximado","defaultMP":"casi igual a"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"no es casi igual a"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"igual o casi igual a"}},"category":"Sm"},{"key":"224B","mappings":{"default":{"default":"triple tilde"}},"category":"Sm"},{"key":"224C","mappings":{"default":{"default":"todo igual a"}},"category":"Sm"},{"key":"224D","mappings":{"default":{"default":"equivalente a"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"geométricamente equivalente a"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"se acerca al límite"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"geométricamente igual a"}},"category":"Sm"},{"key":"2252","mappings":{"default":{"default":"aproximadamente igual a o imagen de"}},"category":"Sm"},{"key":"2253","mappings":{"default":{"default":"imagen de o aproximadamente igual a"}},"category":"Sm"},{"key":"2254","mappings":{"default":{"default":"dos puntos igual"}},"category":"Sm"},{"key":"2255","mappings":{"default":{"default":"igual dos puntos"}},"category":"Sm"},{"key":"2256","mappings":{"default":{"default":"igual incluyendo anillo"}},"category":"Sm"},{"key":"2257","mappings":{"default":{"default":"igual anillo a"}},"category":"Sm"},{"key":"2258","mappings":{"default":{"default":"corresponde a"}},"category":"Sm"},{"key":"2259","mappings":{"default":{"default":"estima a"}},"category":"Sm"},{"key":"225A","mappings":{"default":{"default":"equiangular con"}},"category":"Sm"},{"key":"225B","mappings":{"default":{"default":"igual con estrella"}},"category":"Sm"},{"key":"225C","mappings":{"default":{"default":"igual con delta"}},"category":"Sm"},{"key":"225D","mappings":{"default":{"default":"igual por definición a"}},"category":"Sm"},{"key":"225E","mappings":{"default":{"default":"medido por"}},"category":"Sm"},{"key":"225F","mappings":{"default":{"default":"igual con interrogante"}},"category":"Sm"},{"key":"2260","mappings":{"default":{"default":"no es igual a","defaultMP":"distinto de"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"idéntico a"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"no es idéntico a"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"estrictamente equivalente a"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"entre"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"no equivalente a"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"no menor que"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"no mayor que"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"no menor ni igual a"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"no mayor ni igual a"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"menor o equivalente a"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"mayor o equivalente a"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"no menor ni equivalente a"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"no mayor ni equivalente a"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"menor o mayor que"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"no menor ni mayor que"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"no mayor ni menor que"}},"category":"Sm"},{"key":"227A","mappings":{"default":{"default":"precede a"}},"category":"Sm"},{"key":"227B","mappings":{"default":{"default":"sigue a"}},"category":"Sm"},{"key":"227C","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"227D","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"227E","mappings":{"default":{"default":"precede o es equivalente a"}},"category":"Sm"},{"key":"227F","mappings":{"default":{"default":"sigue o es equivalente a"}},"category":"Sm"},{"key":"2280","mappings":{"default":{"default":"no precede a"}},"category":"Sm"},{"key":"2281","mappings":{"default":{"default":"no sigue a"}},"category":"Sm"},{"key":"2282","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"2283","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"2284","mappings":{"default":{"default":"no incluido en"}},"category":"Sm"},{"key":"2285","mappings":{"default":{"default":"no contiene a"}},"category":"Sm"},{"key":"2286","mappings":{"default":{"default":"incluido o igual a"}},"category":"Sm"},{"key":"2287","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"2288","mappings":{"default":{"default":"no incluido ni igual a"}},"category":"Sm"},{"key":"2289","mappings":{"default":{"default":"no contiene ni es igual a"}},"category":"Sm"},{"key":"228A","mappings":{"default":{"default":"incluido estrictamente en"}},"category":"Sm"},{"key":"228B","mappings":{"default":{"default":"contiene estrictamente a"}},"category":"Sm"},{"key":"228C","mappings":{"default":{"default":"familia de conjuntos"}},"category":"Sm"},{"key":"228D","mappings":{"default":{"default":"producto de familia de conjuntos"}},"category":"Sm"},{"key":"228E","mappings":{"default":{"default":"unión de familia de conjuntos"}},"category":"Sm"},{"key":"228F","mappings":{"default":{"default":"imagen cuadrada de"}},"category":"Sm"},{"key":"2290","mappings":{"default":{"default":"original cuadrado de"}},"category":"Sm"},{"key":"2291","mappings":{"default":{"default":"imagen cuadrada de o igual a"}},"category":"Sm"},{"key":"2292","mappings":{"default":{"default":"original cuadrado de o igual a"}},"category":"Sm"},{"key":"2293","mappings":{"default":{"default":"intersección cuadrada"}},"category":"Sm"},{"key":"2294","mappings":{"default":{"default":"unión cuadrada"}},"category":"Sm"},{"key":"2295","mappings":{"default":{"default":"más en círculo"}},"category":"Sm"},{"key":"2296","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"2297","mappings":{"default":{"default":"por en círculo"}},"category":"Sm"},{"key":"2298","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"2299","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"229A","mappings":{"default":{"default":"anillo en círculo"}},"category":"Sm"},{"key":"229B","mappings":{"default":{"default":"asterisco en círculo"}},"category":"Sm"},{"key":"229C","mappings":{"default":{"default":"igual en círculo"}},"category":"Sm"},{"key":"229D","mappings":{"default":{"default":"menos en círculo"}},"category":"Sm"},{"key":"229E","mappings":{"default":{"default":"más en cuadrado"}},"category":"Sm"},{"key":"229F","mappings":{"default":{"default":"menos en cuadrado"}},"category":"Sm"},{"key":"22A0","mappings":{"default":{"default":"veces en cuadrado"}},"category":"Sm"},{"key":"22A1","mappings":{"default":{"default":"punto en cuadrado"}},"category":"Sm"},{"key":"22A2","mappings":{"default":{"default":"t horizontal hacia la izquierda"}},"category":"Sm"},{"key":"22A3","mappings":{"default":{"default":"t horizontal hacia la derecha"}},"category":"Sm"},{"key":"22A4","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"22A5","mappings":{"default":{"default":"perpendicular invertida"}},"category":"Sm"},{"key":"22A6","mappings":{"default":{"default":"afirmación"}},"category":"Sm"},{"key":"22A7","mappings":{"default":{"default":"modela"}},"category":"Sm"},{"key":"22A8","mappings":{"default":{"default":"verdadero"}},"category":"Sm"},{"key":"22A9","mappings":{"default":{"default":"obliga"}},"category":"Sm"},{"key":"22AA","mappings":{"default":{"default":"triple barra vertical torniquete derecho"}},"category":"Sm"},{"key":"22AB","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho"}},"category":"Sm"},{"key":"22AC","mappings":{"default":{"default":"no prueba"}},"category":"Sm"},{"key":"22AD","mappings":{"default":{"default":"falso"}},"category":"Sm"},{"key":"22AE","mappings":{"default":{"default":"no obliga"}},"category":"Sm"},{"key":"22AF","mappings":{"default":{"default":"doble barra vertical doble torniquete derecho negada"}},"category":"Sm"},{"key":"22B0","mappings":{"default":{"default":"precede respecto de"}},"category":"Sm"},{"key":"22B1","mappings":{"default":{"default":"sigue respecto de"}},"category":"Sm"},{"key":"22B2","mappings":{"default":{"default":"subgrupo normal de"}},"category":"Sm"},{"key":"22B3","mappings":{"default":{"default":"contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22B4","mappings":{"default":{"default":"subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B5","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"key":"22B6","mappings":{"default":{"default":"original de"}},"category":"Sm"},{"key":"22B7","mappings":{"default":{"default":"imagen de"}},"category":"Sm"},{"key":"22B8","mappings":{"default":{"default":"multifunción"}},"category":"Sm"},{"key":"22B9","mappings":{"default":{"default":"matriz hermitiana conjugada"}},"category":"Sm"},{"key":"22BA","mappings":{"default":{"default":"interpola"}},"category":"Sm"},{"key":"22BB","mappings":{"default":{"default":"o excluyente"}},"category":"Sm"},{"key":"22BC","mappings":{"default":{"default":"no y"}},"category":"Sm"},{"key":"22BD","mappings":{"default":{"default":"no o"}},"category":"Sm"},{"key":"22BF","mappings":{"default":{"default":"triángulo rectángulo"}},"category":"Sm"},{"key":"22C0","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"22C1","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"22C2","mappings":{"default":{"default":"intersección"}},"category":"Sm"},{"key":"22C3","mappings":{"default":{"default":"unión"}},"category":"Sm"},{"key":"22C4","mappings":{"default":{"default":"operador diamante"}},"category":"Sm"},{"key":"22C5","mappings":{"default":{"default":"punto"}},"category":"Sm"},{"key":"22C6","mappings":{"default":{"default":"estrella"}},"category":"Sm"},{"key":"22C7","mappings":{"default":{"default":"dividido por"}},"category":"Sm"},{"key":"22C8","mappings":{"default":{"default":"moño"}},"category":"Sm"},{"key":"22C9","mappings":{"default":{"default":"factor normal izquierdo producto semidirecto"}},"category":"Sm"},{"key":"22CA","mappings":{"default":{"default":"factor normal derecho producto semidirecto"}},"category":"Sm"},{"key":"22CB","mappings":{"default":{"default":"producto semidirecto izquierdo"}},"category":"Sm"},{"key":"22CC","mappings":{"default":{"default":"producto semidirecto derecho"}},"category":"Sm"},{"key":"22CD","mappings":{"default":{"default":"tilde invertida igual a"}},"category":"Sm"},{"key":"22CE","mappings":{"default":{"default":"o rizada"}},"category":"Sm"},{"key":"22CF","mappings":{"default":{"default":"y rizada"}},"category":"Sm"},{"key":"22D0","mappings":{"default":{"default":"doble incluido"}},"category":"Sm"},{"key":"22D1","mappings":{"default":{"default":"doble contiene"}},"category":"Sm"},{"key":"22D2","mappings":{"default":{"default":"doble intersección"}},"category":"Sm"},{"key":"22D3","mappings":{"default":{"default":"doble unión"}},"category":"Sm"},{"key":"22D4","mappings":{"default":{"default":"bieldo"}},"category":"Sm"},{"key":"22D5","mappings":{"default":{"default":"paralela o igual a"}},"category":"Sm"},{"key":"22D6","mappings":{"default":{"default":"menor que con punto"}},"category":"Sm"},{"key":"22D7","mappings":{"default":{"default":"mayor que con punto"}},"category":"Sm"},{"key":"22D8","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"22D9","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"22DA","mappings":{"default":{"default":"menor igual o mayor que"}},"category":"Sm"},{"key":"22DB","mappings":{"default":{"default":"mayor igual o menor que"}},"category":"Sm"},{"key":"22DC","mappings":{"default":{"default":"menor o igual que"}},"category":"Sm"},{"key":"22DD","mappings":{"default":{"default":"mayor o igual que"}},"category":"Sm"},{"key":"22DE","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"22DF","mappings":{"default":{"default":"sigue o es igual a"}},"category":"Sm"},{"key":"22E0","mappings":{"default":{"default":"no precede ni es igual a"}},"category":"Sm"},{"key":"22E1","mappings":{"default":{"default":"no sigue ni es igual a"}},"category":"Sm"},{"key":"22E2","mappings":{"default":{"default":"no es imagen cuadrada ni igual a"}},"category":"Sm"},{"key":"22E3","mappings":{"default":{"default":"no es original cuadrada ni igual a"}},"category":"Sm"},{"key":"22E4","mappings":{"default":{"default":"imagen cuadrada estricta"}},"category":"Sm"},{"key":"22E5","mappings":{"default":{"default":"original cuadrada estricta"}},"category":"Sm"},{"key":"22E6","mappings":{"default":{"default":"menor que no equivalente a"}},"category":"Sm"},{"key":"22E7","mappings":{"default":{"default":"mayor que no equivalente a"}},"category":"Sm"},{"key":"22E8","mappings":{"default":{"default":"precede no equivalente a"}},"category":"Sm"},{"key":"22E9","mappings":{"default":{"default":"sigue no equivalente a"}},"category":"Sm"},{"key":"22EA","mappings":{"default":{"default":"no subgrupo normal de"}},"category":"Sm"},{"key":"22EB","mappings":{"default":{"default":"no contiene como subgrupo normal a"}},"category":"Sm"},{"key":"22EC","mappings":{"default":{"default":"no es subgrupo normal ni igual a"}},"category":"Sm"},{"key":"22ED","mappings":{"default":{"default":"no contiene como subgrupo normal ni es igual a"}},"category":"Sm"},{"key":"22EE","mappings":{"default":{"default":"puntos suspensivos verticales"}},"category":"Sm"},{"key":"22EF","mappings":{"default":{"default":"puntos suspensivos altos"}},"category":"Sm"},{"key":"22F0","mappings":{"default":{"default":"puntos suspensivos diagonales subiendo"}},"category":"Sm"},{"key":"22F1","mappings":{"default":{"default":"puntos suspensivos diagonales bajando"}},"category":"Sm"},{"key":"22F2","mappings":{"default":{"default":"pertenece con trazo horizontal"}},"category":"Sm"},{"key":"22F3","mappings":{"default":{"default":"pertenece con barra vertical al fin de raya horizontal"}},"category":"Sm"},{"key":"22F4","mappings":{"default":{"default":"pertenece en pequeño con trazo vertical"}},"category":"Sm"},{"key":"22F5","mappings":{"default":{"default":"pertenece con punto arriba"}},"category":"Sm"},{"key":"22F6","mappings":{"default":{"default":"pertenece con barra arriba"}},"category":"Sm"},{"key":"22F7","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F8","mappings":{"default":{"default":"perteneciente subrayado"}},"category":"Sm"},{"key":"22F9","mappings":{"default":{"default":"pertenece con dos trazos horizontales"}},"category":"Sm"},{"key":"22FA","mappings":{"default":{"default":"contiene o es igual a"}},"category":"Sm"},{"key":"22FB","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FC","mappings":{"default":{"default":"contiene con marca"}},"category":"Sm"},{"key":"22FD","mappings":{"default":{"default":"contiene con barra"}},"category":"Sm"},{"key":"22FE","mappings":{"default":{"default":"perteneciente con barra"}},"category":"Sm"},{"key":"22FF","mappings":{"default":{"default":"z anotación asociación de bolsa"}},"category":"Sm"},{"key":"2300","mappings":{"default":{"default":"diámetro"}},"category":"So"},{"key":"2302","mappings":{"default":{"default":"casa"}},"category":"So"},{"key":"2305","mappings":{"default":{"default":"en proyectividad con"}},"category":"So"},{"key":"2306","mappings":{"default":{"default":"en perspectividad con"}},"category":"So"},{"key":"2310","mappings":{"default":{"default":"no invertido"}},"category":"So"},{"key":"2312","mappings":{"default":{"default":"arco"}},"category":"So"},{"key":"2313","mappings":{"default":{"default":"segmento"}},"category":"So"},{"key":"27C1","mappings":{"default":{"default":"triángulo encerrando triángulo"}},"category":"Sm"},{"key":"27C2","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27C3","mappings":{"default":{"default":"incluido en"}},"category":"Sm"},{"key":"27C4","mappings":{"default":{"default":"contiene a"}},"category":"Sm"},{"key":"27C7","mappings":{"default":{"default":"punto en círculo"}},"category":"Sm"},{"key":"27C8","mappings":{"default":{"default":"atrás tajo antes de subconjunto"}},"category":"Sm"},{"key":"27C9","mappings":{"default":{"default":"sobreconjunto antes de tajo"}},"category":"Sm"},{"key":"27CA","mappings":{"default":{"default":"barra vertical con golpe horizontal"}},"category":"Sm"},{"key":"27CC","mappings":{"default":{"default":"división larga"}},"category":"Sm"},{"key":"27D1","mappings":{"default":{"default":"y con punto interior"}},"category":"Sm"},{"key":"27D2","mappings":{"default":{"default":"elemento de apertura hacia arriba"}},"category":"Sm"},{"key":"27D3","mappings":{"default":{"default":"ángulo inferior derecho con punto"}},"category":"Sm"},{"key":"27D4","mappings":{"default":{"default":"ángulo inferior izquierdo con punto"}},"category":"Sm"},{"key":"27D5","mappings":{"default":{"default":"izquierdo exterior une"}},"category":"Sm"},{"key":"27D6","mappings":{"default":{"default":"derecho exterior une"}},"category":"Sm"},{"key":"27D7","mappings":{"default":{"default":"lleno exterior une"}},"category":"Sm"},{"key":"27D8","mappings":{"default":{"default":"perpendicular inversa"}},"category":"Sm"},{"key":"27D9","mappings":{"default":{"default":"perpendicular"}},"category":"Sm"},{"key":"27DA","mappings":{"default":{"default":"izquierdo y derecho doble torniquete"}},"category":"Sm"},{"key":"27DB","mappings":{"default":{"default":"doble T horizontal"}},"category":"Sm"},{"key":"27DC","mappings":{"default":{"default":"multifunción por la izquierda"}},"category":"Sm"},{"key":"27DD","mappings":{"default":{"default":"T horizontal derecha larga"}},"category":"Sm"},{"key":"27DE","mappings":{"default":{"default":"T horizontal izquierda larga"}},"category":"Sm"},{"key":"27DF","mappings":{"default":{"default":"perpendicular inversa con círculo arriba"}},"category":"Sm"},{"key":"27E0","mappings":{"default":{"default":"pastilla dividida por regla horizontal"}},"category":"Sm"},{"key":"27E1","mappings":{"default":{"default":"diamante cóncavo vacío"}},"category":"Sm"},{"key":"27E2","mappings":{"default":{"default":"diamante cóncavo con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E3","mappings":{"default":{"default":"diamante cóncavo con tictac hacia derecha"}},"category":"Sm"},{"key":"27E4","mappings":{"default":{"default":"cuadrado con tictac hacia izquierda"}},"category":"Sm"},{"key":"27E5","mappings":{"default":{"default":"cuadrado con tictac hacia derecha"}},"category":"Sm"},{"key":"299A","mappings":{"default":{"default":"zigzag en vertical"}},"category":"Sm"},{"key":"29B0","mappings":{"default":{"default":"conjunto vacío invertido"}},"category":"Sm"},{"key":"29B1","mappings":{"default":{"default":"conjunto vacío con barra"}},"category":"Sm"},{"key":"29B2","mappings":{"default":{"default":"conjunto vacío con círculo"}},"category":"Sm"},{"key":"29B5","mappings":{"default":{"default":"círculo con barra"}},"category":"Sm"},{"key":"29B6","mappings":{"default":{"default":"barra en círculo"}},"category":"Sm"},{"key":"29B7","mappings":{"default":{"default":"paralelas en círculo"}},"category":"Sm"},{"key":"29B9","mappings":{"default":{"default":"perpendicular en círculo"}},"category":"Sm"},{"key":"29BB","mappings":{"default":{"default":"x superimpresa en círculo"}},"category":"Sm"},{"key":"29BC","mappings":{"default":{"default":"circled anticlockwise rotated division"}},"category":"Sm"},{"key":"29BE","mappings":{"default":{"default":"bullet vacía en círculo"}},"category":"Sm"},{"key":"29BF","mappings":{"default":{"default":"bullet en círculo"}},"category":"Sm"},{"key":"29C0","mappings":{"default":{"default":"menor que en círculo"}},"category":"Sm"},{"key":"29C1","mappings":{"default":{"default":"mayor que en círculo"}},"category":"Sm"},{"key":"29C2","mappings":{"default":{"default":"círculo con círculo a la derecha"}},"category":"Sm"},{"key":"29C3","mappings":{"default":{"default":"circle with two horizontal strokes to the right"}},"category":"Sm"},{"key":"29C4","mappings":{"default":{"default":"cuadrado con diagonal ascendente"}},"category":"Sm"},{"key":"29C5","mappings":{"default":{"default":"cuadrado con diagonal descendente"}},"category":"Sm"},{"key":"29C9","mappings":{"default":{"default":"dos cuadrados unidos"}},"category":"Sm"},{"key":"29CD","mappings":{"default":{"default":"triangle with serifs at bottom"}},"category":"Sm"},{"key":"29CE","mappings":{"default":{"default":"triángulo hacia la derecha sobre triángulo hacia la izquierda"}},"category":"Sm"},{"key":"29CF","mappings":{"default":{"default":"subgrupo normal o igual a"}},"category":"Sm"},{"key":"29D0","mappings":{"default":{"default":"contiene como subgrupo normal o es igual a"}},"category":"Sm"},{"key":"29DC","mappings":{"default":{"default":"infinito incompleto"}},"category":"Sm"},{"key":"29DE","mappings":{"default":{"default":"no infinito"}},"category":"Sm"},{"key":"29E3","mappings":{"default":{"default":"igual tachado doble "}},"category":"Sm"},{"key":"29E4","mappings":{"default":{"default":"igual con tilde, con doble tachado"}},"category":"Sm"},{"key":"29E5","mappings":{"default":{"default":"idéntico a con doble tachado"}},"category":"Sm"},{"key":"29EB","mappings":{"default":{"default":"rombo relleno"}},"category":"Sm"},{"key":"29F4","mappings":{"default":{"default":"rule delayed"}},"category":"Sm"},{"key":"29F6","mappings":{"default":{"default":"solidus with overbar"}},"category":"Sm"},{"key":"2A0C","mappings":{"default":{"default":"operador integral cuádruple"}},"category":"Sm"},{"key":"2A0D","mappings":{"default":{"default":"finite part integral"}},"category":"Sm"},{"key":"2A10","mappings":{"default":{"default":"circulation function"}},"category":"Sm"},{"key":"2A11","mappings":{"default":{"default":"integral en sentido antihorario"}},"category":"Sm"},{"key":"2A12","mappings":{"default":{"default":"integral lineal para rectángulo en polo"}},"category":"Sm"},{"key":"2A13","mappings":{"default":{"default":"integral lineal para semicírculo en polo"}},"category":"Sm"},{"key":"2A14","mappings":{"default":{"default":"integral lineal excluyendo el polo"}},"category":"Sm"},{"key":"2A15","mappings":{"default":{"default":"integral en torno de un punto operador"}},"category":"Sm"},{"key":"2A16","mappings":{"default":{"default":"operador integral para cuaterniones"}},"category":"Sm"},{"key":"2A22","mappings":{"default":{"default":"más con círculo"}},"category":"Sm"},{"key":"2A23","mappings":{"default":{"default":"más con ángulo"}},"category":"Sm"},{"key":"2A24","mappings":{"default":{"default":"tilde con más suscrito"}},"category":"Sm"},{"key":"2A25","mappings":{"default":{"default":"más con punto inferior"}},"category":"Sm"},{"key":"2A26","mappings":{"default":{"default":"tilde con más"}},"category":"Sm"},{"key":"2A27","mappings":{"default":{"default":"más con 2 suscrito"}},"category":"Sm"},{"key":"2A29","mappings":{"default":{"default":"menos con coma"}},"category":"Sm"},{"key":"2A2A","mappings":{"default":{"default":"menos con punto inferior"}},"category":"Sm"},{"key":"2A2D","mappings":{"default":{"default":"más en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A2E","mappings":{"default":{"default":"más en semicírculo derecho"}},"category":"Sm"},{"key":"2A2F","mappings":{"default":{"default":"producto vectorial"}},"category":"Sm"},{"key":"2A30","mappings":{"default":{"default":"por con punto"}},"category":"Sm"},{"key":"2A31","mappings":{"default":{"default":"por con subrayado"}},"category":"Sm"},{"key":"2A33","mappings":{"default":{"default":"smash product"}},"category":"Sm"},{"key":"2A34","mappings":{"default":{"default":"por en semicírculo izquierdo"}},"category":"Sm"},{"key":"2A35","mappings":{"default":{"default":"por en semicírculo derecho"}},"category":"Sm"},{"key":"2A36","mappings":{"default":{"default":"por en círculo con ángulo"}},"category":"Sm"},{"key":"2A37","mappings":{"default":{"default":"por en anillo"}},"category":"Sm"},{"key":"2A38","mappings":{"default":{"default":"división en círculo"}},"category":"Sm"},{"key":"2A39","mappings":{"default":{"default":"más en triángulo"}},"category":"Sm"},{"key":"2A3A","mappings":{"default":{"default":"menos en triángulo"}},"category":"Sm"},{"key":"2A3B","mappings":{"default":{"default":"por en triángulo"}},"category":"Sm"},{"key":"2A3C","mappings":{"default":{"default":"producto interior"}},"category":"Sm"},{"key":"2A3F","mappings":{"default":{"default":"coproducto"}},"category":"Sm"},{"key":"2A40","mappings":{"default":{"default":"intersección con punto"}},"category":"Sm"},{"key":"2A42","mappings":{"default":{"default":"unión con barra"}},"category":"Sm"},{"key":"2A43","mappings":{"default":{"default":"intersección con barra"}},"category":"Sm"},{"key":"2A44","mappings":{"default":{"default":"intersección con and"}},"category":"Sm"},{"key":"2A45","mappings":{"default":{"default":"unión con or"}},"category":"Sm"},{"key":"2A46","mappings":{"default":{"default":"unión sobre intersección"}},"category":"Sm"},{"key":"2A47","mappings":{"default":{"default":"intersección sobre unión"}},"category":"Sm"},{"key":"2A48","mappings":{"default":{"default":"unión sobre barra, sobre intersección"}},"category":"Sm"},{"key":"2A49","mappings":{"default":{"default":"intersección sobre barra, sobre unión "}},"category":"Sm"},{"key":"2A4A","mappings":{"default":{"default":"unión y unión"}},"category":"Sm"},{"key":"2A4B","mappings":{"default":{"default":"intersección e intersección"}},"category":"Sm"},{"key":"2A4C","mappings":{"default":{"default":"unión cerrada"}},"category":"Sm"},{"key":"2A4D","mappings":{"default":{"default":"intersección cerrada"}},"category":"Sm"},{"key":"2A50","mappings":{"default":{"default":"unión cerrada con por"}},"category":"Sm"},{"key":"2A53","mappings":{"default":{"default":"y"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"o"}},"category":"Sm"},{"key":"2A55","mappings":{"default":{"default":"two intersecting logical and"}},"category":"Sm"},{"key":"2A56","mappings":{"default":{"default":"two intersecting logical or"}},"category":"Sm"},{"key":"2A57","mappings":{"default":{"default":"sloping large or"}},"category":"Sm"},{"key":"2A58","mappings":{"default":{"default":"sloping large and"}},"category":"Sm"},{"key":"2A5A","mappings":{"default":{"default":"logical and with middle stem"}},"category":"Sm"},{"key":"2A5B","mappings":{"default":{"default":"logical or with middle stem"}},"category":"Sm"},{"key":"2A5C","mappings":{"default":{"default":"logical and with horizontal dash"}},"category":"Sm"},{"key":"2A5D","mappings":{"default":{"default":"logical or with horizontal dash"}},"category":"Sm"},{"key":"2A5F","mappings":{"default":{"default":"logical and with underbar"}},"category":"Sm"},{"key":"2A66","mappings":{"default":{"default":"igual con punto suscrito"}},"category":"Sm"},{"key":"2A6A","mappings":{"default":{"default":"tilde con punto"}},"category":"Sm"},{"key":"2A6D","mappings":{"default":{"default":"congruente con punto"}},"category":"Sm"},{"key":"2A6F","mappings":{"default":{"default":"casi igual con ángulo"}},"category":"Sm"},{"key":"2A71","mappings":{"default":{"default":"igual con más suscrito"}},"category":"Sm"},{"key":"2A72","mappings":{"default":{"default":"igual con más"}},"category":"Sm"},{"key":"2A73","mappings":{"default":{"default":"igual con operador tilde"}},"category":"Sm"},{"key":"2A74","mappings":{"default":{"default":"igual con dos puntos"}},"category":"Sm"},{"key":"2A75","mappings":{"default":{"default":"igual doble"}},"category":"Sm"},{"key":"2A77","mappings":{"default":{"default":"igual entre cuatro puntos"}},"category":"Sm"},{"key":"2A78","mappings":{"default":{"default":"equivalente con cuatro puntos"}},"category":"Sm"},{"key":"2A79","mappings":{"default":{"default":"menor que con círculo interior"}},"category":"Sm"},{"key":"2A7A","mappings":{"default":{"default":"mayor que con círculo interior"}},"category":"Sm"},{"key":"2A7B","mappings":{"default":{"default":"menor que con interrogante"}},"category":"Sm"},{"key":"2A7C","mappings":{"default":{"default":"mayor que con interrogante"}},"category":"Sm"},{"key":"2A7D","mappings":{"default":{"default":"estrictamente menor que"}},"category":"Sm"},{"key":"2A7E","mappings":{"default":{"default":"estrictamente mayor que"}},"category":"Sm"},{"key":"2A7F","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A80","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A81","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A82","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"key":"2A83","mappings":{"default":{"default":"estrictamente menor que con punto"}},"category":"Sm"},{"key":"2A84","mappings":{"default":{"default":"estrictamente mayor que con punto"}},"category":"Sm"},{"key":"2A89","mappings":{"default":{"default":"menor que, pero no aproximado a"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"mayor que, pero no aproximado a"}},"category":"Sm"},{"key":"2A8D","mappings":{"default":{"default":"menor, similar o igual a"}},"category":"Sm"},{"key":"2A8E","mappings":{"default":{"default":"mayor, similar o igual a"}},"category":"Sm"},{"key":"2A8F","mappings":{"default":{"default":"menor, similar o mayor que"}},"category":"Sm"},{"key":"2A90","mappings":{"default":{"default":"mayor, similar o menor que"}},"category":"Sm"},{"key":"2A91","mappings":{"default":{"default":"menor, mayor o igual a"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"mayor, menor o igual a"}},"category":"Sm"},{"key":"2A93","mappings":{"default":{"default":"estrictamente menor o mayor que"}},"category":"Sm"},{"key":"2A94","mappings":{"default":{"default":"estrictamente mayor o menor que"}},"category":"Sm"},{"key":"2A97","mappings":{"default":{"default":"estrictamente menor que con punto interior"}},"category":"Sm"},{"key":"2A98","mappings":{"default":{"default":"estrictamente mayor que con punto interior"}},"category":"Sm"},{"key":"2A99","mappings":{"default":{"default":"menor o igual a"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"mayor o igual a"}},"category":"Sm"},{"key":"2A9D","mappings":{"default":{"default":"equivalente o menor que"}},"category":"Sm"},{"key":"2A9E","mappings":{"default":{"default":"mayor o similar a"}},"category":"Sm"},{"key":"2A9F","mappings":{"default":{"default":"similar, menor o igual a"}},"category":"Sm"},{"key":"2AA0","mappings":{"default":{"default":"similar, mayor o igual a"}},"category":"Sm"},{"key":"2AA1","mappings":{"default":{"default":"mucho menor que"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"mucho mayor que"}},"category":"Sm"},{"key":"2AA4","mappings":{"default":{"default":"menor que, mayor que"}},"category":"Sm"},{"key":"2AA5","mappings":{"default":{"default":"mayor o menor que"}},"category":"Sm"},{"key":"2AA6","mappings":{"default":{"default":"menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA7","mappings":{"default":{"default":"mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AA8","mappings":{"default":{"default":"estrictamente menor que cerrado con curva"}},"category":"Sm"},{"key":"2AA9","mappings":{"default":{"default":"estrictamente mayor que cerrado con curva"}},"category":"Sm"},{"key":"2AAA","mappings":{"default":{"default":"más reducido que"}},"category":"Sm"},{"key":"2AAB","mappings":{"default":{"default":"más amplio que"}},"category":"Sm"},{"key":"2AAC","mappings":{"default":{"default":"más reducido o igual a"}},"category":"Sm"},{"key":"2AAD","mappings":{"default":{"default":"más amplio o igual a"}},"category":"Sm"},{"key":"2AAE","mappings":{"default":{"default":"diferencia entre"}},"category":"Sm"},{"key":"2AAF","mappings":{"default":{"default":"precede o es igual a"}},"category":"Sm"},{"key":"2AB5","mappings":{"default":{"default":"precede estrictamente a"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"sigue estrictamente a"}},"category":"Sm"},{"key":"2ABB","mappings":{"default":{"default":"precede mucho antes"}},"category":"Sm"},{"key":"2ABC","mappings":{"default":{"default":"sigue mucho después"}},"category":"Sm"},{"key":"2ABD","mappings":{"default":{"default":"subrelación de"}},"category":"Sm"},{"key":"2ABE","mappings":{"default":{"default":"contiene como subrelación a"}},"category":"Sm"},{"key":"2ABF","mappings":{"default":{"default":"incluido con más suscrito"}},"category":"Sm"},{"key":"2AC0","mappings":{"default":{"default":"contiene con más suscrito"}},"category":"Sm"},{"key":"2AC1","mappings":{"default":{"default":"incluido con por suscrito"}},"category":"Sm"},{"key":"2AC2","mappings":{"default":{"default":"contiene con por suscrito"}},"category":"Sm"},{"key":"2AC3","mappings":{"default":{"default":"incluido con punto o es igual a"}},"category":"Sm"},{"key":"2AC4","mappings":{"default":{"default":"contiene con punto o es igual a"}},"category":"Sm"},{"key":"2AC7","mappings":{"default":{"default":"incluido aproximadamente en"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"contiene aproximadamente a"}},"category":"Sm"},{"key":"2ACF","mappings":{"default":{"default":"incluido con cierre en"}},"category":"Sm"},{"key":"2AD0","mappings":{"default":{"default":"contiene al cierre del subconjunto"}},"category":"Sm"},{"key":"2AD1","mappings":{"default":{"default":"incluido el cierre o es igual a"}},"category":"Sm"},{"key":"2AD2","mappings":{"default":{"default":"contiene al cierre del subconjunto o es igual a"}},"category":"Sm"},{"key":"2AD3","mappings":{"default":{"default":"está incluido o contiene a"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"incluido doblemente en"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"contiene doblemente a"}},"category":"Sm"},{"key":"2AD7","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD8","mappings":{"default":{"default":"contiene o está incluido en"}},"category":"Sm"},{"key":"2AD9","mappings":{"default":{"default":"perteneciente dirigido hacia abajo"}},"category":"Sm"},{"key":"2ADA","mappings":{"default":{"default":"pitchfork with tee top"}},"category":"Sm"},{"key":"2ADB","mappings":{"default":{"default":"transversal intersection"}},"category":"Sm"},{"key":"2AE4","mappings":{"default":{"default":"double left turnstile vertical bar"}},"category":"Sm"},{"key":"2AE6","mappings":{"default":{"default":"long dash from left member of double vertical"}},"category":"Sm"},{"key":"2AE7","mappings":{"default":{"default":"short down tack with overbar"}},"category":"Sm"},{"key":"2AE8","mappings":{"default":{"default":"barra con perpendicular"}},"category":"Sm"},{"key":"2AE9","mappings":{"default":{"default":"short up tack above short down tack"}},"category":"Sm"},{"key":"2AEB","mappings":{"default":{"default":"double up tack"}},"category":"Sm"},{"key":"2AEC","mappings":{"default":{"default":"double stroke not sign"}},"category":"Sm"},{"key":"2AED","mappings":{"default":{"default":"reversed double stroke not sign"}},"category":"Sm"},{"key":"2AEE","mappings":{"default":{"default":"does not divide with reversed negation slash"}},"category":"Sm"},{"key":"2AEF","mappings":{"default":{"default":"barra vertical con círculo"}},"category":"Sm"},{"key":"2AF0","mappings":{"default":{"default":"barra con círculo inferior"}},"category":"Sm"},{"key":"2AF1","mappings":{"default":{"default":"down tack with circle below"}},"category":"Sm"},{"key":"2AF2","mappings":{"default":{"default":"paralela con marca"}},"category":"Sm"},{"key":"2AF3","mappings":{"default":{"default":"paralela con tilde"}},"category":"Sm"},{"key":"FE68","mappings":{"default":{"default":"división entera"}},"category":"Po"},{"key":"FF5C","mappings":{"default":{"default":"barra vertical"}},"category":"Sm"}]
+"fr/symbols/greek-rest.js": 
+[{"locale":"fr"},{"category":"Lu","key":"0394","mappings":{"clearspeak":{"default":"triangle","TriangleSymbol_Delta":"Delta majuscule"}}}]
 ,
-"es/math_whitespace.js": 
-[{"locale":"es"},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"guión corto"}},"category":"Cf"},{"key":"2002","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2004","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2005","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2007","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2008","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"200C","mappings":{"default":{"default":"ancho de cero no ensamblador"}},"category":"Cf"},{"key":"200D","mappings":{"default":{"default":"ancho de cero ensamblador"}},"category":"Cf"},{"key":"200E","mappings":{"default":{"default":"marca de izquierda a derecha"}},"category":"Cf"},{"key":"200F","mappings":{"default":{"default":"marca de derecha a izquierda"}},"category":"Cf"},{"key":"205F","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2060","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"2061","mappings":{"default":{"default":"de"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":"por"}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":"coma"}},"category":"Cf"},{"key":"2064","mappings":{"default":{"default":"más"}},"category":"Cf"},{"key":"FEFF","mappings":{"default":{"default":""}},"category":"Cf"}]
+"fr/symbols/greek-scripts.js": 
+[{"locale":"fr"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"petite gamma majuscule"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"petite lambda majuscule"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"petite pi majuscule"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"petite rhô majuscule"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"petite psi majuscule"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"gamma suscript"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"phi suscript"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"bêta souscrit"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"gamma souscrit"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"rhô souscrit"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"phi souscrit"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"khi souscrit"}}}]
 ,
-"es/other_stars.js": 
-[{"locale":"es"},{"key":"2605","mappings":{"default":{"default":"estrella rellena"}},"category":"So"},{"key":"2606","mappings":{"default":{"default":"estrella vacía"}},"category":"So"},{"key":"2713","mappings":{"default":{"default":"check mark"}},"category":"So"},{"key":"2717","mappings":{"default":{"default":"ballot x"}},"category":"So"},{"key":"2720","mappings":{"default":{"default":"cruz de Malta"}},"category":"So"},{"key":"2736","mappings":{"default":{"default":"estrella rellena de seis puntas"}},"category":"So"},{"key":"273D","mappings":{"default":{"default":"heavy teardrop spoked asterisk"}},"category":"So"}]
+"fr/symbols/greek-symbols.js": 
+[{"locale":"fr"},{"key":"03D0","mappings":{"default":{"default":"bêta grec"}},"category":"Ll"},{"key":"03D7","mappings":{"default":{"default":"ligature kai"}},"category":"Ll"},{"key":"03F6","mappings":{"default":{"default":"epsilon lunaire réfléchi"}},"category":"Sm"},{"category":"Lu","key":"1D7CA","mappings":{"default":{"default":"Digamma en gras"}}},{"category":"Ll","key":"1D7CB","mappings":{"default":{"default":"digamma en gras"}}}]
 ,
-"es/energy.js": 
-[{"locale":"es"},{"key":"W","names":["W","w"],"mappings":{"default":{"default":"watt"}},"category":"energy"},{"key":"kW","names":["kw","kW"],"mappings":{"default":{"default":"kilowatt"}},"category":"energy"},{"key":"mW","names":["mw","mW"],"mappings":{"default":{"default":"miliwatt"}},"category":"energy"},{"key":"kwh","names":["kwh","kWh"],"mappings":{"default":{"default":"kilowatt hora"}},"category":"energy"},{"key":"J","names":["J"],"mappings":{"default":{"default":"Joules"}},"category":"energy"},{"key":"N","names":["N"],"mappings":{"default":{"default":"Newton"}},"category":"energy"},{"key":"A","names":["A"],"mappings":{"default":{"default":"Ampere"}},"category":"energy"},{"key":"V","names":["V"],"mappings":{"default":{"default":"Voltio"}},"category":"energy"},{"key":"µΩ","names":["µΩ"],"mappings":{"default":{"default":"microohmio"}},"category":"energy"},{"key":"mΩ","names":["mΩ"],"mappings":{"default":{"default":"miliohmio"}},"category":"energy"},{"key":"Ω","names":["Ω","Ohm"],"mappings":{"default":{"default":"ohmio"}},"category":"energy"},{"key":"kΩ","names":["kΩ","KΩ"],"mappings":{"default":{"default":"kiloohmio"}},"category":"energy"},{"key":"MΩ","names":["MΩ"],"mappings":{"default":{"default":"megaohmio"}},"category":"energy"},{"key":"GΩ","names":["GΩ"],"mappings":{"default":{"default":"gigaohmio"}},"category":"energy"}]
+"fr/symbols/hebrew_letters.js": 
+[{"locale":"fr"},{"key":"2135","mappings":{"default":{"default":"alef"}},"category":"Lo"},{"key":"2136","mappings":{"default":{"default":"bèt"}},"category":"Lo"},{"key":"2137","mappings":{"default":{"default":"guimel"}},"category":"Lo"},{"key":"2138","mappings":{"default":{"default":"dalèt"}},"category":"Lo"}]
 ,
-"es/length.js": 
-[{"locale":"es"},{"key":"mm","names":["mm"],"mappings":{"default":{"default":"milímetro"}},"category":"Length"},{"key":"cm","names":["cm"],"mappings":{"default":{"default":"centímetro"}},"category":"Length"},{"key":"m","names":["m"],"mappings":{"default":{"default":"metro"}},"category":"Length"},{"key":"km","names":["km"],"mappings":{"default":{"default":"kilómetro"}},"category":"Length"},{"key":"ft","names":["ft","ft."],"mappings":{"default":{"default":"pies"}},"category":"Length"},{"key":"in","names":["in","in."],"mappings":{"default":{"default":"pulgada"}},"category":"Length"},{"key":"mi","names":["mi","mi."],"mappings":{"default":{"default":"milla"}},"category":"Length"},{"key":"yd","names":["yd","yd."],"mappings":{"default":{"default":"yarda"}},"category":"Length"},{"key":"n.m.","names":["n.m."],"mappings":{"default":{"default":"millas náuticas"}}}]
+"fr/symbols/latin-lower-double-accent.js": 
+[{"locale":"fr"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"u trémaa et macron"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"u trémaa et accent aigu"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"u trémaa et caron"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"u trémaa et accent grave"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"a trémaa et macron"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"a point en chef et macron"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"o ogonek et macron"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"a rond en chef et accent aigu"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"o tréma et macron"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"o tilde et macron"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"o point en chef et macron"}}},{"key":"1E09","mappings":{"default":{"default":"c cédille et accent aigu"}},"category":"Ll"},{"key":"1E15","mappings":{"default":{"default":"e macron et accent grave"}},"category":"Ll"},{"key":"1E17","mappings":{"default":{"default":"e macron et accent aigu"}},"category":"Ll"},{"key":"1E1D","mappings":{"default":{"default":"e cédille et brève"}},"category":"Ll"},{"key":"1E2F","mappings":{"default":{"default":"i tréma et accent aigu"}},"category":"Ll"},{"key":"1E39","mappings":{"default":{"default":"l point souscrit et macron"}},"category":"Ll"},{"key":"1E4D","mappings":{"default":{"default":"o tilde et accent aigu"}},"category":"Ll"},{"key":"1E4F","mappings":{"default":{"default":"o tilde et tréma"}},"category":"Ll"},{"key":"1E51","mappings":{"default":{"default":"o macron et accent grave"}},"category":"Ll"},{"key":"1E53","mappings":{"default":{"default":"o macron et accent aigu"}},"category":"Ll"},{"key":"1E5D","mappings":{"default":{"default":"r point souscrit et macron"}},"category":"Ll"},{"key":"1E65","mappings":{"default":{"default":"s accent aigu et point en chef"}},"category":"Ll"},{"key":"1E67","mappings":{"default":{"default":"s caron et point en chef"}},"category":"Ll"},{"key":"1E69","mappings":{"default":{"default":"s point souscrit et point en chef"}},"category":"Ll"},{"key":"1E79","mappings":{"default":{"default":"u tilde et accent aigu"}},"category":"Ll"},{"key":"1E7B","mappings":{"default":{"default":"u macron et tréma"}},"category":"Ll"},{"key":"1EA5","mappings":{"default":{"default":"a accent circonflexe et accent aigu"}},"category":"Ll"},{"key":"1EA7","mappings":{"default":{"default":"a accent circonflexe et accent grave"}},"category":"Ll"},{"key":"1EA9","mappings":{"default":{"default":"a accent circonflexe et crochet en chef"}},"category":"Ll"},{"key":"1EAB","mappings":{"default":{"default":"a accent circonflexe et tilde"}},"category":"Ll"},{"key":"1EAD","mappings":{"default":{"default":"a accent circonflexe et point souscrit"}},"category":"Ll"},{"key":"1EAF","mappings":{"default":{"default":"a brève et accent aigu"}},"category":"Ll"},{"key":"1EB1","mappings":{"default":{"default":"a brève et accent grave"}},"category":"Ll"},{"key":"1EB3","mappings":{"default":{"default":"a brève et crochet en chef"}},"category":"Ll"},{"key":"1EB5","mappings":{"default":{"default":"a brève et tilde"}},"category":"Ll"},{"key":"1EB7","mappings":{"default":{"default":"a brève et point souscrit"}},"category":"Ll"},{"key":"1EBF","mappings":{"default":{"default":"e accent circonflexe et accent aigu"}},"category":"Ll"},{"key":"1EC1","mappings":{"default":{"default":"e accent circonflexe et accent grave"}},"category":"Ll"},{"key":"1EC3","mappings":{"default":{"default":"e accent circonflexe et crochet en chef"}},"category":"Ll"},{"key":"1EC5","mappings":{"default":{"default":"e accent circonflexe et tilde"}},"category":"Ll"},{"key":"1EC7","mappings":{"default":{"default":"e accent circonflexe et point souscrit"}},"category":"Ll"},{"key":"1ED1","mappings":{"default":{"default":"o accent circonflexe et accent aigu"}},"category":"Ll"},{"key":"1ED3","mappings":{"default":{"default":"o accent circonflexe et accent grave"}},"category":"Ll"},{"key":"1ED5","mappings":{"default":{"default":"o accent circonflexe et crochet en chef"}},"category":"Ll"},{"key":"1ED7","mappings":{"default":{"default":"o accent circonflexe et tilde"}},"category":"Ll"},{"key":"1ED9","mappings":{"default":{"default":"o accent circonflexe et point souscrit"}},"category":"Ll"},{"key":"1EDB","mappings":{"default":{"default":"o cornu accent aigu"}},"category":"Ll"},{"key":"1EDD","mappings":{"default":{"default":"o cornu accent grave"}},"category":"Ll"},{"key":"1EDF","mappings":{"default":{"default":"o cornu crochet en chef"}},"category":"Ll"},{"key":"1EE1","mappings":{"default":{"default":"o cornu tilde"}},"category":"Ll"},{"key":"1EE3","mappings":{"default":{"default":"o cornu point souscrit"}},"category":"Ll"},{"key":"1EE9","mappings":{"default":{"default":"u cornu accent aigu"}},"category":"Ll"},{"key":"1EEB","mappings":{"default":{"default":"u cornu accent grave"}},"category":"Ll"},{"key":"1EED","mappings":{"default":{"default":"u cornu crochet en chef"}},"category":"Ll"},{"key":"1EEF","mappings":{"default":{"default":"u cornu tilde"}},"category":"Ll"},{"key":"1EF1","mappings":{"default":{"default":"u cornu point souscrit"}},"category":"Ll"}]
 ,
-"es/memory.js": 
-[{"locale":"es"},{"key":"b","names":["b"],"mappings":{"default":{"default":"bit"}}},{"key":"B","names":["B"],"mappings":{"default":{"default":"byte"}}},{"key":"KB","names":["KB"],"mappings":{"default":{"default":"kilobyte"}}},{"key":"MB","names":["MB"],"mappings":{"default":{"default":"megabyte"}}},{"key":"GB","names":["GB"],"mappings":{"default":{"default":"gigabyte"}}},{"key":"TB","names":["TB"],"mappings":{"default":{"default":"terabyte"}}}]
+"fr/symbols/latin-lower-phonetic.js": 
+[{"locale":"fr"},{"key":"00F8","mappings":{"default":{"default":"o barré"}},"category":"Ll"},{"key":"0111","mappings":{"default":{"default":"d barré"}},"category":"Ll"},{"key":"0127","mappings":{"default":{"default":"h barré"}},"category":"Ll"},{"key":"0142","mappings":{"default":{"default":"l barré"}},"category":"Ll"},{"key":"0167","mappings":{"default":{"default":"t barré"}},"category":"Ll"},{"category":"Ll","key":"0180","mappings":{"default":{"default":"b barré"}}},{"key":"019B","mappings":{"default":{"default":"lambda barré"}},"category":"Ll"},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"z barré"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"coup de glotte barré culbuté"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"g barré"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"o barré accent aigu"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"c barré"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"e barré"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"j barré"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"r barré"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"y barré"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"j sans point barré"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"i barré"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"j sans point barré crosse"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"coup de glotte barré"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"coup de glotte barré réfléchi"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"o couché barré obliquement"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"iota barré"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"p barré"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"upsilon barré"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"s long à barre diagonale"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"s long à barre haute"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"delta culbutée"}}},{"key":"1E9B","mappings":{"default":{"default":"s long point en chef"}},"category":"Ll"},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"delta"}}},{"key":"0138","mappings":{"default":{"default":"kra"}},"category":"Ll"},{"category":"Ll","key":"017F","mappings":{"default":{"default":"s long"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"b potence"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"sixiéme ton"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"c crosse"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"d potence"}}},{"key":"0192","mappings":{"default":{"default":"f cursif"}},"category":"Ll"},{"category":"Ll","key":"0195","mappings":{"default":{"default":"hv (Hwair)"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"k crosse"}}},{"key":"019A","mappings":{"default":{"default":"l rayé"}},"category":"Ll"},{"category":"Ll","key":"019E","mappings":{"default":{"default":"n à long jambage de droite"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"o cornu"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"gha"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"p crosse"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"deuxiéme ton"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"ech réfléchi bouclé"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"t hameçon palatal"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"t crosse"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"u cornu"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"y crosse"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"ej réfléchi"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"ej hameçon"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"cinquiéme tun"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"wynn"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"dz caron"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"lj"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"nj"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"ae macron"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"ej caron"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"dz"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"yogh"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"lej"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"ej"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"ej bouclé"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"digramme Dej"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"e culbuté"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"ae accent aigu (ash)"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"d bouclé"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"ou"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"z crochet"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"l bouclé"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"n bouclé"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"t bouclé"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"Ligature minuscule latine Db"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"Ligature minuscule latine Qp"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"s à paraphe"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"z à paraphe"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"coup de glotte"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"q avec hameçon"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"a culbuté"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"alpha"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"alpha culbuté"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"b crosse"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"o ouvert"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"c bouclé"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"d hameçon rétroflexe"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"d crosse"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"e réfléchi"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"schwa"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"schwa crochet"}}},{"key":"025B","mappings":{"default":{"default":"e ouvert"}},"category":"Ll"},{"category":"Ll","key":"025C","mappings":{"default":{"default":"epsilon réfléchi"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"epsilon réfléchi crochet"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"epsilon réfléchi fermé"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"g crosse"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"g cursif"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"gamma"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"petit gamma"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"h culbuté"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"h crosse"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"eng crosse"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"iota"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"l tilde médian"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"l sanglé"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"l hameçon rétroflexe"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"m culbuté"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"m hampé culbuté"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"m hameçon"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"n hameçon à gauche"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"n hameçon rétroflexe"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"o barré"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"oméga fermé"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"phi"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"r culbuté"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"r prolongé culbuté"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"r crosse culbuté"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"r prolongé"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"r hameçon rétroflexe"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"r sans obit"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"r sans obit réfléchi"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"s hameçon rétroflexe"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"ech"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"r sans obit réfléchi hameçon rétroflexe"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"ech bouclé"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"t culbuté"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"t hameçon rétroflexe"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"u barré"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"upsilon"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"v de ronde"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"v culbuté"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"w culbuté"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"y culbuté"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"z hameçon rétroflexe"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"z bouclé"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"coup de glotte réfléchi"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"coup de glotte culbuté"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"C étiré"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"clic bilabial"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"epsilon fermé"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"k culbuté"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"q crosse"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"digramme Dz"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"digramme Dz bouclé"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"digramme Ts"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"digramme Tech"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"digramme Tc bouclé"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"digramme Feng"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"digramme Ls"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"digramme Lz"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"percussion bilabiale"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"percussion bidentale"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"h culbuté crosse réfléchie"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"h culbuté crosse réfléchie et hameçon rétroflexe"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"ae culbuté"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"epsilon culbuté"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"i culbuté"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"o couché"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"o ouvert couché"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"oe culbuté"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"moitié supérieure de o"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"moitié inférieure de o"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"u couché"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"u tréma couché"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"m couché"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"fricative pharyngale voisée"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"aïn"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"ue"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"b tilde médian"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"d tilde médian"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"f tilde médian"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"m tilde médian"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"n tilde médian"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"p tilde médian"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"r tilde médian"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"r sans obit tilde médian"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"s tilde médian"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"t tilde médian"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"z tilde médian"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"g culbuté"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"g insulaire"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"th barré diagonalement"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"b hameçon palatal"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"d hameçon palatal"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"f hameçon palatal"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"g hameçon palatal"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"k hameçon palatal"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"l hameçon palatal"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"m hameçon palatal"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"n hameçon palatal"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"p hameçon palatal"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"r hameçon palatal"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"s hameçon palatal"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"ech hameçon palatal"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"v hameçon palatal"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"x hameçon palatal"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"z hameçon palatal"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"a hameçon rétroflexe"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"alpha hameçon rétroflexe"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"d crosse et hameçon rétroflexe"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"e hameçon rétroflexe"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"epsilon hameçon rétroflexe"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"epsilon réfléchi hameçon rétroflexe"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"schwa hameçon rétroflexe"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"i hameçon rétroflexe"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"o ouvert hameçon rétroflexe"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"ech hameçon rétroflexe"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"u hameçon rétroflexe"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"ej hameçon rétroflexe"}}},{"key":"0149","mappings":{"default":{"default":"n précédée d'une apostrophe"}},"category":"Ll"},{"key":"014B","mappings":{"default":{"default":"eng"}},"category":"Ll"}]
 ,
-"es/other.js": 
-[{"locale":"es"},{"key":"doz","names":["doz","doz.","dz","dz."],"mappings":{"default":{"default":"docena"}}},{"key":"sq","names":["sq","sq."],"mappings":{"default":{"default":"al cuadrado"}}},{"key":"ha","names":["ha"],"mappings":{"default":{"default":"hectarea"}}}]
+"fr/symbols/latin-lower-single-accent.js": 
+[{"locale":"fr"},{"key":"00E0","mappings":{"default":{"default":"a accent grave"}},"category":"Ll"},{"key":"00E1","mappings":{"default":{"default":"a accent aigu"}},"category":"Ll"},{"key":"00E2","mappings":{"default":{"default":"a accent circonflexe"}},"category":"Ll"},{"key":"00E3","mappings":{"default":{"default":"a tilde"}},"category":"Ll"},{"key":"00E4","mappings":{"default":{"default":"a tréma"}},"category":"Ll"},{"key":"00E5","mappings":{"default":{"default":"a rond en chef"}},"category":"Ll"},{"key":"00E7","mappings":{"default":{"default":"c cédille"}},"category":"Ll"},{"key":"00E8","mappings":{"default":{"default":"e accent grave"}},"category":"Ll"},{"key":"00E9","mappings":{"default":{"default":"e accent aigu"}},"category":"Ll"},{"key":"00EA","mappings":{"default":{"default":"e accent circonflexe"}},"category":"Ll"},{"key":"00EB","mappings":{"default":{"default":"e tréma"}},"category":"Ll"},{"key":"00EC","mappings":{"default":{"default":"i accent grave"}},"category":"Ll"},{"key":"00ED","mappings":{"default":{"default":"i accent aigu"}},"category":"Ll"},{"key":"00EE","mappings":{"default":{"default":"i accent circonflexe"}},"category":"Ll"},{"key":"00EF","mappings":{"default":{"default":"i tréma"}},"category":"Ll"},{"key":"00F1","mappings":{"default":{"default":"n tilde"}},"category":"Ll"},{"key":"00F2","mappings":{"default":{"default":"o accent grave"}},"category":"Ll"},{"key":"00F3","mappings":{"default":{"default":"o accent aigu"}},"category":"Ll"},{"key":"00F4","mappings":{"default":{"default":"o accent circonflexe"}},"category":"Ll"},{"key":"00F5","mappings":{"default":{"default":"o tilde"}},"category":"Ll"},{"key":"00F6","mappings":{"default":{"default":"o tréma"}},"category":"Ll"},{"key":"00F9","mappings":{"default":{"default":"u accent grave"}},"category":"Ll"},{"key":"00FA","mappings":{"default":{"default":"u accent aigu"}},"category":"Ll"},{"key":"00FB","mappings":{"default":{"default":"u accent circonflexe"}},"category":"Ll"},{"key":"00FC","mappings":{"default":{"default":"u tréma"}},"category":"Ll"},{"key":"00FD","mappings":{"default":{"default":"y accent aigu"}},"category":"Ll"},{"key":"00FF","mappings":{"default":{"default":"y tréma"}},"category":"Ll"},{"key":"0101","mappings":{"default":{"default":"a macron"}},"category":"Ll"},{"key":"0103","mappings":{"default":{"default":"a brève"}},"category":"Ll"},{"key":"0105","mappings":{"default":{"default":"a ogonek"}},"category":"Ll"},{"key":"0107","mappings":{"default":{"default":"c accent aigu"}},"category":"Ll"},{"key":"0109","mappings":{"default":{"default":"c accent circonflexe"}},"category":"Ll"},{"key":"010B","mappings":{"default":{"default":"c point en chef"}},"category":"Ll"},{"key":"010D","mappings":{"default":{"default":"c caron"}},"category":"Ll"},{"key":"010F","mappings":{"default":{"default":"d caron"}},"category":"Ll"},{"key":"0113","mappings":{"default":{"default":"e macron"}},"category":"Ll"},{"category":"Ll","key":"0115","mappings":{"default":{"default":"e brève"}}},{"key":"0117","mappings":{"default":{"default":"e point en chef"}},"category":"Ll"},{"key":"0119","mappings":{"default":{"default":"e ogonek"}},"category":"Ll"},{"key":"011B","mappings":{"default":{"default":"e caron"}},"category":"Ll"},{"key":"011D","mappings":{"default":{"default":"g accent circonflexe"}},"category":"Ll"},{"key":"011F","mappings":{"default":{"default":"g brève"}},"category":"Ll"},{"key":"0121","mappings":{"default":{"default":"g point en chef"}},"category":"Ll"},{"category":"Ll","key":"0123","mappings":{"default":{"default":"g cédille"}}},{"key":"0125","mappings":{"default":{"default":"h accent circonflexe"}},"category":"Ll"},{"key":"0129","mappings":{"default":{"default":"i tilde"}},"category":"Ll"},{"key":"012B","mappings":{"default":{"default":"i macron"}},"category":"Ll"},{"category":"Ll","key":"012D","mappings":{"default":{"default":"i brève"}}},{"key":"012F","mappings":{"default":{"default":"i ogonek"}},"category":"Ll"},{"key":"0131","mappings":{"default":{"default":"i sans point"}},"category":"Ll"},{"key":"0135","mappings":{"default":{"default":"j accent circonflexe"}},"category":"Ll"},{"key":"0137","mappings":{"default":{"default":"k cédille"}},"category":"Ll"},{"key":"013A","mappings":{"default":{"default":"l accent aigu"}},"category":"Ll"},{"key":"013C","mappings":{"default":{"default":"l cédille"}},"category":"Ll"},{"key":"013E","mappings":{"default":{"default":"l caron"}},"category":"Ll"},{"key":"0140","mappings":{"default":{"default":"l point médian"}},"category":"Ll"},{"key":"0144","mappings":{"default":{"default":"n accent aigu"}},"category":"Ll"},{"key":"0146","mappings":{"default":{"default":"n cédille"}},"category":"Ll"},{"key":"0148","mappings":{"default":{"default":"n caron"}},"category":"Ll"},{"key":"014D","mappings":{"default":{"default":"o macron"}},"category":"Ll"},{"category":"Ll","key":"014F","mappings":{"default":{"default":"o brève"}}},{"key":"0151","mappings":{"default":{"default":"o avec double accent aigu"}},"category":"Ll"},{"key":"0155","mappings":{"default":{"default":"r accent aigu"}},"category":"Ll"},{"key":"0157","mappings":{"default":{"default":"r cédille"}},"category":"Ll"},{"key":"0159","mappings":{"default":{"default":"r caron"}},"category":"Ll"},{"key":"015B","mappings":{"default":{"default":"s accent aigu"}},"category":"Ll"},{"key":"015D","mappings":{"default":{"default":"s accent circonflexe"}},"category":"Ll"},{"key":"015F","mappings":{"default":{"default":"s cédille"}},"category":"Ll"},{"key":"0161","mappings":{"default":{"default":"s caron"}},"category":"Ll"},{"key":"0163","mappings":{"default":{"default":"t cédille"}},"category":"Ll"},{"key":"0165","mappings":{"default":{"default":"t caron"}},"category":"Ll"},{"key":"0169","mappings":{"default":{"default":"u tilde"}},"category":"Ll"},{"key":"016B","mappings":{"default":{"default":"u macron"}},"category":"Ll"},{"key":"016D","mappings":{"default":{"default":"u brève"}},"category":"Ll"},{"key":"016F","mappings":{"default":{"default":"u rond en chef"}},"category":"Ll"},{"key":"0171","mappings":{"default":{"default":"u avec double accent aigu"}},"category":"Ll"},{"key":"0173","mappings":{"default":{"default":"u ogonek"}},"category":"Ll"},{"key":"0175","mappings":{"default":{"default":"w accent circonflexe"}},"category":"Ll"},{"key":"0177","mappings":{"default":{"default":"y accent circonflexe"}},"category":"Ll"},{"key":"017A","mappings":{"default":{"default":"z accent aigu"}},"category":"Ll"},{"key":"017C","mappings":{"default":{"default":"z point en chef"}},"category":"Ll"},{"key":"017E","mappings":{"default":{"default":"z caron"}},"category":"Ll"},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"a caron"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"i caron"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"o caron"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"u caron"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"g caron"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"k caron"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"o ogonek"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"j caron"}}},{"key":"01F5","mappings":{"default":{"default":"g accent aigu"}},"category":"Ll"},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"n grave"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"a double accent grave"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"a brève renversée"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"e double accent grave"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"e brève renversée"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"i double accent grave"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"i brève renversée"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"o double accent grave"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"o brève renversée"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"r double accent grave"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"r brève renversée"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"u double accent grave"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"u brève renversée"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"s virgule souscrite *"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"t virgule souscrite *"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"h caron"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"a point en chef"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"e cédille"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"o point en chef"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"y macron"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"j sans point"}}},{"key":"1E01","mappings":{"default":{"default":"a à rond souscrit"}},"category":"Ll"},{"key":"1E03","mappings":{"default":{"default":"b point en chef"}},"category":"Ll"},{"key":"1E05","mappings":{"default":{"default":"b point souscrit"}},"category":"Ll"},{"key":"1E07","mappings":{"default":{"default":"b ligne souscrite"}},"category":"Ll"},{"key":"1E0B","mappings":{"default":{"default":"d point en chef"}},"category":"Ll"},{"key":"1E0D","mappings":{"default":{"default":"d point souscrit"}},"category":"Ll"},{"key":"1E0F","mappings":{"default":{"default":"d ligne souscrite"}},"category":"Ll"},{"key":"1E11","mappings":{"default":{"default":"d cédille"}},"category":"Ll"},{"key":"1E13","mappings":{"default":{"default":"d accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E19","mappings":{"default":{"default":"e accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E1B","mappings":{"default":{"default":"e tilde souscrit"}},"category":"Ll"},{"key":"1E1F","mappings":{"default":{"default":"f point en chef"}},"category":"Ll"},{"key":"1E21","mappings":{"default":{"default":"g macron"}},"category":"Ll"},{"key":"1E23","mappings":{"default":{"default":"h point en chef"}},"category":"Ll"},{"key":"1E25","mappings":{"default":{"default":"h point souscrit"}},"category":"Ll"},{"key":"1E27","mappings":{"default":{"default":"h tréma"}},"category":"Ll"},{"key":"1E29","mappings":{"default":{"default":"h cédille"}},"category":"Ll"},{"key":"1E2B","mappings":{"default":{"default":"h brève souscrit"}},"category":"Ll"},{"key":"1E2D","mappings":{"default":{"default":"i tilde souscrit"}},"category":"Ll"},{"key":"1E31","mappings":{"default":{"default":"k accent aigu"}},"category":"Ll"},{"key":"1E33","mappings":{"default":{"default":"k point souscrit"}},"category":"Ll"},{"key":"1E35","mappings":{"default":{"default":"k ligne souscrite"}},"category":"Ll"},{"key":"1E37","mappings":{"default":{"default":"l point souscrit"}},"category":"Ll"},{"key":"1E3B","mappings":{"default":{"default":"l ligne souscrite"}},"category":"Ll"},{"key":"1E3D","mappings":{"default":{"default":"l accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E3F","mappings":{"default":{"default":"m accent aigu"}},"category":"Ll"},{"key":"1E41","mappings":{"default":{"default":"m point en chef"}},"category":"Ll"},{"key":"1E43","mappings":{"default":{"default":"m point souscrit"}},"category":"Ll"},{"key":"1E45","mappings":{"default":{"default":"n point en chef"}},"category":"Ll"},{"key":"1E47","mappings":{"default":{"default":"n point souscrit"}},"category":"Ll"},{"key":"1E49","mappings":{"default":{"default":"n ligne souscrite"}},"category":"Ll"},{"key":"1E4B","mappings":{"default":{"default":"n accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E55","mappings":{"default":{"default":"p accent aigu"}},"category":"Ll"},{"key":"1E57","mappings":{"default":{"default":"p point en chef"}},"category":"Ll"},{"key":"1E59","mappings":{"default":{"default":"r point en chef"}},"category":"Ll"},{"key":"1E5B","mappings":{"default":{"default":"r point souscrit"}},"category":"Ll"},{"key":"1E5F","mappings":{"default":{"default":"r ligne souscrite"}},"category":"Ll"},{"key":"1E61","mappings":{"default":{"default":"s point en chef"}},"category":"Ll"},{"key":"1E63","mappings":{"default":{"default":"s point souscrit"}},"category":"Ll"},{"key":"1E6B","mappings":{"default":{"default":"t point en chef"}},"category":"Ll"},{"key":"1E6D","mappings":{"default":{"default":"t point souscrit"}},"category":"Ll"},{"key":"1E6F","mappings":{"default":{"default":"t ligne souscrite"}},"category":"Ll"},{"key":"1E71","mappings":{"default":{"default":"t accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E73","mappings":{"default":{"default":"u tréma souscrit"}},"category":"Ll"},{"key":"1E75","mappings":{"default":{"default":"u tilde souscrit"}},"category":"Ll"},{"key":"1E77","mappings":{"default":{"default":"u accent circonflexe souscrit"}},"category":"Ll"},{"key":"1E7D","mappings":{"default":{"default":"v tilde"}},"category":"Ll"},{"key":"1E7F","mappings":{"default":{"default":"v point souscrit"}},"category":"Ll"},{"key":"1E81","mappings":{"default":{"default":"w accent grave"}},"category":"Ll"},{"key":"1E83","mappings":{"default":{"default":"w accent aigu"}},"category":"Ll"},{"key":"1E85","mappings":{"default":{"default":"w tréma"}},"category":"Ll"},{"key":"1E87","mappings":{"default":{"default":"w point en chef"}},"category":"Ll"},{"key":"1E89","mappings":{"default":{"default":"w point souscrit"}},"category":"Ll"},{"key":"1E8B","mappings":{"default":{"default":"x point en chef"}},"category":"Ll"},{"key":"1E8D","mappings":{"default":{"default":"x tréma"}},"category":"Ll"},{"key":"1E8F","mappings":{"default":{"default":"y point en chef"}},"category":"Ll"},{"key":"1E91","mappings":{"default":{"default":"z accent circonflexe"}},"category":"Ll"},{"key":"1E93","mappings":{"default":{"default":"z point souscrit"}},"category":"Ll"},{"key":"1E95","mappings":{"default":{"default":"z ligne souscrite"}},"category":"Ll"},{"key":"1E96","mappings":{"default":{"default":"h ligne souscrite"}},"category":"Ll"},{"key":"1E97","mappings":{"default":{"default":"t tréma"}},"category":"Ll"},{"key":"1E98","mappings":{"default":{"default":"w rond en chef"}},"category":"Ll"},{"key":"1E99","mappings":{"default":{"default":"y rond en chef"}},"category":"Ll"},{"key":"1E9A","mappings":{"default":{"default":"a demi rond à droite"}},"category":"Ll"},{"key":"1EA1","mappings":{"default":{"default":"a point souscrit"}},"category":"Ll"},{"key":"1EA3","mappings":{"default":{"default":"a crochet en chef"}},"category":"Ll"},{"key":"1EB9","mappings":{"default":{"default":"e point souscrit"}},"category":"Ll"},{"key":"1EBB","mappings":{"default":{"default":"e crochet en chef"}},"category":"Ll"},{"key":"1EBD","mappings":{"default":{"default":"e tilde"}},"category":"Ll"},{"key":"1EC9","mappings":{"default":{"default":"i crochet en chef"}},"category":"Ll"},{"key":"1ECB","mappings":{"default":{"default":"i point souscrit"}},"category":"Ll"},{"key":"1ECD","mappings":{"default":{"default":"o point souscrit"}},"category":"Ll"},{"key":"1ECF","mappings":{"default":{"default":"o crochet en chef"}},"category":"Ll"},{"key":"1EE5","mappings":{"default":{"default":"u point souscrit"}},"category":"Ll"},{"key":"1EE7","mappings":{"default":{"default":"u crochet en chef"}},"category":"Ll"},{"key":"1EF3","mappings":{"default":{"default":"y accent grave"}},"category":"Ll"},{"key":"1EF5","mappings":{"default":{"default":"y point souscrit"}},"category":"Ll"},{"key":"1EF7","mappings":{"default":{"default":"y crochet en chef"}},"category":"Ll"},{"key":"1EF9","mappings":{"default":{"default":"y tilde"}},"category":"Ll"}]
 ,
-"es/speed.js": 
-[{"locale":"es"},{"key":"kt","names":["kt","kt."],"mappings":{"default":{"default":"nudo"}}},{"key":"mph","names":["mph"],"mappings":{"default":{"default":"millas por hora"}}},{"key":"rpm","names":["rpm"],"mappings":{"default":{"default":"revoluciones por minuto"}}},{"key":"kmh","names":["kmh"],"mappings":{"default":{"default":"kilómetros por hora"}}}]
+"fr/symbols/latin-rest.js": 
+[{"locale":"fr"},{"category":"Ll","key":"210E","mappings":{"default":{"default":"constante de planck"}}},{"category":"Mn","key":"0363","mappings":{"default":{"default":"diacritique a"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"diacritique e"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"diacritique i"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"diacritique o"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"diacritique u"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"diacritique c"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"diacritique d"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"diacritique h"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"diacritique m"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"diacritique r"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"diacritique t"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"diacritique v"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"diacritique x"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"i souscrit"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"r souscrit"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"u souscrit"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"v souscrit"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"diacritique r souscrite"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"diacritique a ouvert aplati suscrit"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"diacritique ae"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"diacritique ao"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"diacritique av"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"diacritique c cédille"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"diacritique d insulaire"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"diacritique eth"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"diacritique g"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"diacritique petite g majuscule"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"diacritique k"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"diacritique l"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"diacritique petite l majuscule"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"diacritique petite m majuscule"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"diacritique n"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"diacritique petite n majuscule"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"diacritique petite r majuscule"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"diacritique r rotunda"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"diacritique s"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"diacritique s long"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"diacritique z"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"exposant i"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"exposant n"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"indice a"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"indice e"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"indice o"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"indice x"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"indice schwa"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"souscrite h"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"souscrite k"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"souscrite l"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"souscrite m"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"souscrite n"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"souscrite p"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"souscrite s"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"souscrite t"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"j souscrite"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"s majuscule en écaille crochetée"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"c majuscule en italique cerclée"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"r majuscule en italique cerclée"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"P majuscule encadrée et en inversion avec croix"}}}]
 ,
-"es/temperature.js": 
-[{"locale":"es"},{"key":"F","names":["F","F.","°F"],"mappings":{"default":{"default":"Fahrenheit"}}},{"key":"C","names":["C","°C"],"mappings":{"default":{"default":"centígrados"}}},{"key":"K","names":["K","°K"],"mappings":{"default":{"default":"Kelvin"}}}]
+"fr/symbols/latin-upper-double-accent.js": 
+[{"locale":"fr"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"U majuscule trémaa et macron"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"U majuscule trémaa et accent aigu"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"U majuscule trémaa et caron"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"U majuscule trémaa et accent grave"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"A majuscule trémaa et macron"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"A majuscule point en chef et macron"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"O majuscule ogonek et macron"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"A majuscule rond en chef et accent aigu"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"O majuscule tréma et macron"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"O majuscule tilde et macron"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"O majuscule point en chef et macron"}}},{"key":"1E08","mappings":{"default":{"default":"C cédille et accent aigu majuscule"}},"category":"Lu"},{"key":"1E14","mappings":{"default":{"default":"E macron et accent grave majuscule"}},"category":"Lu"},{"key":"1E16","mappings":{"default":{"default":"E macron et accent aigu majuscule"}},"category":"Lu"},{"key":"1E1C","mappings":{"default":{"default":"E cédille et brève majuscule"}},"category":"Lu"},{"key":"1E2E","mappings":{"default":{"default":"I tréma et accent aigu majuscule"}},"category":"Lu"},{"key":"1E38","mappings":{"default":{"default":"L point souscrit et macron majuscule"}},"category":"Lu"},{"key":"1E4C","mappings":{"default":{"default":"O tilde et accent aigu majuscule"}},"category":"Lu"},{"key":"1E4E","mappings":{"default":{"default":"O tilde et tréma majuscule"}},"category":"Lu"},{"key":"1E50","mappings":{"default":{"default":"O macron et accent grave majuscule"}},"category":"Lu"},{"key":"1E52","mappings":{"default":{"default":"O macron et accent aigu majuscule"}},"category":"Lu"},{"key":"1E5C","mappings":{"default":{"default":"R point souscrit et macron majuscule"}},"category":"Lu"},{"key":"1E64","mappings":{"default":{"default":"S accent aigu et point en chef majuscule"}},"category":"Lu"},{"key":"1E66","mappings":{"default":{"default":"S caron et point en chef majuscule"}},"category":"Lu"},{"key":"1E68","mappings":{"default":{"default":"S point souscrit et point en chef majuscule"}},"category":"Lu"},{"key":"1E78","mappings":{"default":{"default":"U tilde et accent aigu majuscule"}},"category":"Lu"},{"key":"1E7A","mappings":{"default":{"default":"U macron et tréma majuscule"}},"category":"Lu"},{"key":"1EA4","mappings":{"default":{"default":"A accent circonflexe et accent aigu majuscule"}},"category":"Lu"},{"key":"1EA6","mappings":{"default":{"default":"A accent circonflexe et accent grave majuscule"}},"category":"Lu"},{"key":"1EA8","mappings":{"default":{"default":"A accent circonflexe et crochet en chef majuscule"}},"category":"Lu"},{"key":"1EAA","mappings":{"default":{"default":"A accent circonflexe et tilde majuscule"}},"category":"Lu"},{"key":"1EAC","mappings":{"default":{"default":"A accent circonflexe et point souscrit majuscule"}},"category":"Lu"},{"key":"1EAE","mappings":{"default":{"default":"A brève et accent aigu majuscule"}},"category":"Lu"},{"key":"1EB0","mappings":{"default":{"default":"A brève et accent grave majuscule"}},"category":"Lu"},{"key":"1EB2","mappings":{"default":{"default":"A brève et crochet en chef majuscule"}},"category":"Lu"},{"key":"1EB4","mappings":{"default":{"default":"A brève et tilde majuscule"}},"category":"Lu"},{"key":"1EB6","mappings":{"default":{"default":"A brève et point souscrit majuscule"}},"category":"Lu"},{"key":"1EBE","mappings":{"default":{"default":"E accent circonflexe et accent aigu majuscule"}},"category":"Lu"},{"key":"1EC0","mappings":{"default":{"default":"E accent circonflexe et accent grave majuscule"}},"category":"Lu"},{"key":"1EC2","mappings":{"default":{"default":"E accent circonflexe et crochet en chef majuscule"}},"category":"Lu"},{"key":"1EC4","mappings":{"default":{"default":"E accent circonflexe et tilde majuscule"}},"category":"Lu"},{"key":"1EC6","mappings":{"default":{"default":"E accent circonflexe et point souscrit majuscule"}},"category":"Lu"},{"key":"1ED0","mappings":{"default":{"default":"O accent circonflexe et accent aigu majuscule"}},"category":"Lu"},{"key":"1ED2","mappings":{"default":{"default":"O accent circonflexe et accent grave majuscule"}},"category":"Lu"},{"key":"1ED4","mappings":{"default":{"default":"O accent circonflexe et crochet en chef majuscule"}},"category":"Lu"},{"key":"1ED6","mappings":{"default":{"default":"O accent circonflexe et tilde majuscule"}},"category":"Lu"},{"key":"1ED8","mappings":{"default":{"default":"O accent circonflexe et point souscrit majuscule"}},"category":"Lu"},{"key":"1EDA","mappings":{"default":{"default":"O cornu accent aigu majuscule"}},"category":"Lu"},{"key":"1EDC","mappings":{"default":{"default":"O cornu accent grave majuscule"}},"category":"Lu"},{"key":"1EDE","mappings":{"default":{"default":"O cornu crochet en chef majuscule"}},"category":"Lu"},{"key":"1EE0","mappings":{"default":{"default":"O cornu tilde majuscule"}},"category":"Lu"},{"key":"1EE2","mappings":{"default":{"default":"O cornu point souscrit majuscule"}},"category":"Lu"},{"key":"1EE8","mappings":{"default":{"default":"U cornu accent aigu majuscule"}},"category":"Lu"},{"key":"1EEA","mappings":{"default":{"default":"U cornu accent grave majuscule"}},"category":"Lu"},{"key":"1EEC","mappings":{"default":{"default":"U cornu crochet en chef majuscule"}},"category":"Lu"},{"key":"1EEE","mappings":{"default":{"default":"U cornu tilde majuscule"}},"category":"Lu"},{"key":"1EF0","mappings":{"default":{"default":"U cornu point souscrit majuscule"}},"category":"Lu"}]
 ,
-"es/time.js": 
-[{"locale":"es"},{"key":"ns","names":["ns"],"mappings":{"default":{"default":"nanosegundos"}},"category":"time"},{"key":"µs","names":["µs"],"mappings":{"default":{"default":"microsegundos"}},"category":"time"},{"key":"ms","names":["ms"],"mappings":{"default":{"default":"milisegundos"}},"category":"time"},{"key":"s","names":["s"],"mappings":{"default":{"default":"segundos"}},"category":"time"},{"key":"min","names":["min"],"mappings":{"default":{"default":"minutos"}},"category":"time"},{"key":"h","names":["h","hr"],"mappings":{"default":{"default":"hora"}},"category":"time"}]
+"fr/symbols/latin-upper-single-accent.js": 
+[{"locale":"fr"},{"key":"00C0","mappings":{"default":{"default":"A accent grave majuscule"}},"category":"Lu"},{"key":"00C1","mappings":{"default":{"default":"A accent aigu majuscule"}},"category":"Lu"},{"key":"00C2","mappings":{"default":{"default":"A accent circonflexe majuscule"}},"category":"Lu"},{"key":"00C3","mappings":{"default":{"default":"A tilde majuscule"}},"category":"Lu"},{"key":"00C4","mappings":{"default":{"default":"A tréma majuscule"}},"category":"Lu"},{"key":"00C5","mappings":{"default":{"default":"angstrom"}},"category":"Lu"},{"key":"00C7","mappings":{"default":{"default":"C cédille majuscule"}},"category":"Lu"},{"key":"00C8","mappings":{"default":{"default":"E accent grave majuscule"}},"category":"Lu"},{"key":"00C9","mappings":{"default":{"default":"E accent aigu majuscule"}},"category":"Lu"},{"key":"00CA","mappings":{"default":{"default":"E accent circonflexe majuscule"}},"category":"Lu"},{"key":"00CB","mappings":{"default":{"default":"E tréma majuscule"}},"category":"Lu"},{"key":"00CC","mappings":{"default":{"default":"I accent grave majuscule"}},"category":"Lu"},{"key":"00CD","mappings":{"default":{"default":"I accent aigu majuscule"}},"category":"Lu"},{"key":"00CE","mappings":{"default":{"default":"I accent circonflexe majuscule"}},"category":"Lu"},{"key":"00CF","mappings":{"default":{"default":"I tréma majuscule"}},"category":"Lu"},{"key":"00D1","mappings":{"default":{"default":"N tilde majuscule"}},"category":"Lu"},{"key":"00D2","mappings":{"default":{"default":"O accent grave majuscule"}},"category":"Lu"},{"key":"00D3","mappings":{"default":{"default":"O accent aigu majuscule"}},"category":"Lu"},{"key":"00D4","mappings":{"default":{"default":"O accent circonflexe majuscule"}},"category":"Lu"},{"key":"00D5","mappings":{"default":{"default":"O tilde majuscule"}},"category":"Lu"},{"key":"00D6","mappings":{"default":{"default":"O tréma majuscule"}},"category":"Lu"},{"key":"00D9","mappings":{"default":{"default":"U accent grave majuscule"}},"category":"Lu"},{"key":"00DA","mappings":{"default":{"default":"U accent aigu majuscule"}},"category":"Lu"},{"key":"00DB","mappings":{"default":{"default":"U accent circonflexe majuscule"}},"category":"Lu"},{"key":"00DC","mappings":{"default":{"default":"U tréma majuscule"}},"category":"Lu"},{"key":"00DD","mappings":{"default":{"default":"Y accent aigu majuscule"}},"category":"Lu"},{"key":"0100","mappings":{"default":{"default":"A macron majuscule"}},"category":"Lu"},{"key":"0102","mappings":{"default":{"default":"A brève majuscule"}},"category":"Lu"},{"key":"0104","mappings":{"default":{"default":"A ogonek majuscule"}},"category":"Lu"},{"key":"0106","mappings":{"default":{"default":"C accent aigu majuscule"}},"category":"Lu"},{"key":"0108","mappings":{"default":{"default":"C accent circonflexe majuscule"}},"category":"Lu"},{"key":"010A","mappings":{"default":{"default":"C point en chef majuscule"}},"category":"Lu"},{"key":"010C","mappings":{"default":{"default":"C caron majuscule"}},"category":"Lu"},{"key":"010E","mappings":{"default":{"default":"D caron majuscule"}},"category":"Lu"},{"key":"0112","mappings":{"default":{"default":"E macron majuscule"}},"category":"Lu"},{"category":"Lu","key":"0114","mappings":{"default":{"default":"E brève majuscule"}}},{"key":"0116","mappings":{"default":{"default":"E point en chef majuscule"}},"category":"Lu"},{"key":"0118","mappings":{"default":{"default":"E ogonek majuscule"}},"category":"Lu"},{"key":"011A","mappings":{"default":{"default":"E caron majuscule"}},"category":"Lu"},{"key":"011C","mappings":{"default":{"default":"G accent circonflexe majuscule"}},"category":"Lu"},{"key":"011E","mappings":{"default":{"default":"G brève majuscule"}},"category":"Lu"},{"key":"0120","mappings":{"default":{"default":"G point en chef majuscule"}},"category":"Lu"},{"key":"0122","mappings":{"default":{"default":"G cédille majuscule"}},"category":"Lu"},{"key":"0124","mappings":{"default":{"default":"H accent circonflexe majuscule"}},"category":"Lu"},{"key":"0128","mappings":{"default":{"default":"I tilde majuscule"}},"category":"Lu"},{"key":"012A","mappings":{"default":{"default":"I macron majuscule"}},"category":"Lu"},{"category":"Lu","key":"012C","mappings":{"default":{"default":"I brève majuscule"}}},{"key":"012E","mappings":{"default":{"default":"I ogonek majuscule"}},"category":"Lu"},{"key":"0130","mappings":{"default":{"default":"I point en chef majuscule"}},"category":"Lu"},{"key":"0134","mappings":{"default":{"default":"J accent circonflexe majuscule"}},"category":"Lu"},{"key":"0136","mappings":{"default":{"default":"K cédille majuscule"}},"category":"Lu"},{"key":"0139","mappings":{"default":{"default":"L accent aigu majuscule"}},"category":"Lu"},{"key":"013B","mappings":{"default":{"default":"L cédille majuscule"}},"category":"Lu"},{"key":"013D","mappings":{"default":{"default":"L caron majuscule"}},"category":"Lu"},{"key":"013F","mappings":{"default":{"default":"L point médian majuscule"}},"category":"Lu"},{"key":"0143","mappings":{"default":{"default":"N accent aigu majuscule"}},"category":"Lu"},{"key":"0145","mappings":{"default":{"default":"N cédille majuscule"}},"category":"Lu"},{"key":"0147","mappings":{"default":{"default":"N caron majuscule"}},"category":"Lu"},{"key":"014C","mappings":{"default":{"default":"O macron majuscule"}},"category":"Lu"},{"category":"Lu","key":"014E","mappings":{"default":{"default":"O brève majuscule"}}},{"key":"0150","mappings":{"default":{"default":"O avec double accent aigu majuscule"}},"category":"Lu"},{"key":"0154","mappings":{"default":{"default":"R accent aigu majuscule"}},"category":"Lu"},{"key":"0156","mappings":{"default":{"default":"R cédille majuscule"}},"category":"Lu"},{"key":"0158","mappings":{"default":{"default":"R caron majuscule"}},"category":"Lu"},{"key":"015A","mappings":{"default":{"default":"S accent aigu majuscule"}},"category":"Lu"},{"key":"015C","mappings":{"default":{"default":"S accent circonflexe majuscule"}},"category":"Lu"},{"key":"015E","mappings":{"default":{"default":"S cédille majuscule"}},"category":"Lu"},{"key":"0160","mappings":{"default":{"default":"S caron majuscule"}},"category":"Lu"},{"key":"0162","mappings":{"default":{"default":"T cédille majuscule"}},"category":"Lu"},{"key":"0164","mappings":{"default":{"default":"T caron majuscule"}},"category":"Lu"},{"key":"0168","mappings":{"default":{"default":"U tilde majuscule"}},"category":"Lu"},{"key":"016A","mappings":{"default":{"default":"U macron majuscule"}},"category":"Lu"},{"key":"016C","mappings":{"default":{"default":"U brève majuscule"}},"category":"Lu"},{"key":"016E","mappings":{"default":{"default":"U rond en chef majuscule"}},"category":"Lu"},{"key":"0170","mappings":{"default":{"default":"U avec double accent aigu majuscule"}},"category":"Lu"},{"key":"0172","mappings":{"default":{"default":"U ogonek majuscule"}},"category":"Lu"},{"key":"0174","mappings":{"default":{"default":"W accent circonflexe majuscule"}},"category":"Lu"},{"key":"0176","mappings":{"default":{"default":"Y accent circonflexe majuscule"}},"category":"Lu"},{"key":"0178","mappings":{"default":{"default":"Y tréma majuscule"}},"category":"Lu"},{"key":"0179","mappings":{"default":{"default":"Z accent aigu majuscule"}},"category":"Lu"},{"key":"017B","mappings":{"default":{"default":"Z point en chef majuscule"}},"category":"Lu"},{"key":"017D","mappings":{"default":{"default":"Z caron majuscule"}},"category":"Lu"},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"A caron majuscule"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"I caron majuscule"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"O caron majuscule"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"U caron majuscule"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"G caron majuscule"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"K caron majuscule"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"O ogonek majuscule"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"G accent aigu majuscule"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"N grave majuscule"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"A double accent grave majuscule"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"A brève renversée majuscule"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"E double accent grave majuscule"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"E brève renversée majuscule"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"I double accent grave majuscule"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"I brève renversée majuscule"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"O double accent grave majuscule"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"O brève renversée majuscule"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"R double accent grave majuscule"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"R brève renversée majuscule"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"U double accent grave majuscule"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"U brève renversée majuscule"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"S virgule souscrite * majuscule"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"T virgule souscrite * majuscule"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"H caron majuscule"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"A point en chef majuscule"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"E cédille majuscule"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"O point en chef majuscule"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"Y macron majuscule"}}},{"key":"1E00","mappings":{"default":{"default":"A à rond souscrit majuscule"}},"category":"Lu"},{"key":"1E02","mappings":{"default":{"default":"B point en chef majuscule"}},"category":"Lu"},{"key":"1E04","mappings":{"default":{"default":"B point souscrit majuscule"}},"category":"Lu"},{"key":"1E06","mappings":{"default":{"default":"B ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E0A","mappings":{"default":{"default":"D point en chef majuscule"}},"category":"Lu"},{"key":"1E0C","mappings":{"default":{"default":"D point souscrit majuscule"}},"category":"Lu"},{"key":"1E0E","mappings":{"default":{"default":"D ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E10","mappings":{"default":{"default":"D cédille majuscule"}},"category":"Lu"},{"key":"1E12","mappings":{"default":{"default":"D accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E18","mappings":{"default":{"default":"E accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E1A","mappings":{"default":{"default":"E tilde souscrit majuscule"}},"category":"Lu"},{"key":"1E1E","mappings":{"default":{"default":"F point en chef majuscule"}},"category":"Lu"},{"key":"1E20","mappings":{"default":{"default":"G macron majuscule"}},"category":"Lu"},{"key":"1E22","mappings":{"default":{"default":"H point en chef majuscule"}},"category":"Lu"},{"key":"1E24","mappings":{"default":{"default":"H point souscrit majuscule"}},"category":"Lu"},{"key":"1E26","mappings":{"default":{"default":"H tréma majuscule"}},"category":"Lu"},{"key":"1E28","mappings":{"default":{"default":"H cédille majuscule"}},"category":"Lu"},{"key":"1E2A","mappings":{"default":{"default":"H brève souscrit majuscule"}},"category":"Lu"},{"key":"1E2C","mappings":{"default":{"default":"I tilde souscrit majuscule"}},"category":"Lu"},{"key":"1E30","mappings":{"default":{"default":"K accent aigu majuscule"}},"category":"Lu"},{"key":"1E32","mappings":{"default":{"default":"K point souscrit majuscule"}},"category":"Lu"},{"key":"1E34","mappings":{"default":{"default":"K ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E36","mappings":{"default":{"default":"L point souscrit majuscule"}},"category":"Lu"},{"key":"1E3A","mappings":{"default":{"default":"L ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E3C","mappings":{"default":{"default":"L accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E3E","mappings":{"default":{"default":"M accent aigu majuscule"}},"category":"Lu"},{"key":"1E40","mappings":{"default":{"default":"M point en chef majuscule"}},"category":"Lu"},{"key":"1E42","mappings":{"default":{"default":"M point souscrit majuscule"}},"category":"Lu"},{"key":"1E44","mappings":{"default":{"default":"N point en chef majuscule"}},"category":"Lu"},{"key":"1E46","mappings":{"default":{"default":"N point souscrit majuscule"}},"category":"Lu"},{"key":"1E48","mappings":{"default":{"default":"N ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E4A","mappings":{"default":{"default":"N accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E54","mappings":{"default":{"default":"P accent aigu majuscule"}},"category":"Lu"},{"key":"1E56","mappings":{"default":{"default":"P point en chef majuscule"}},"category":"Lu"},{"key":"1E58","mappings":{"default":{"default":"R point en chef majuscule"}},"category":"Lu"},{"key":"1E5A","mappings":{"default":{"default":"R point souscrit majuscule"}},"category":"Lu"},{"key":"1E5E","mappings":{"default":{"default":"R ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E60","mappings":{"default":{"default":"S point en chef majuscule"}},"category":"Lu"},{"key":"1E62","mappings":{"default":{"default":"S point souscrit majuscule"}},"category":"Lu"},{"key":"1E6A","mappings":{"default":{"default":"T point en chef majuscule"}},"category":"Lu"},{"key":"1E6C","mappings":{"default":{"default":"T point souscrit majuscule"}},"category":"Lu"},{"key":"1E6E","mappings":{"default":{"default":"T ligne souscrite majuscule"}},"category":"Lu"},{"key":"1E70","mappings":{"default":{"default":"T accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E72","mappings":{"default":{"default":"U tréma souscrit majuscule"}},"category":"Lu"},{"key":"1E74","mappings":{"default":{"default":"U tilde souscrit majuscule"}},"category":"Lu"},{"key":"1E76","mappings":{"default":{"default":"U accent circonflexe souscrit majuscule"}},"category":"Lu"},{"key":"1E7C","mappings":{"default":{"default":"V tilde majuscule"}},"category":"Lu"},{"key":"1E7E","mappings":{"default":{"default":"V point souscrit majuscule"}},"category":"Lu"},{"key":"1E80","mappings":{"default":{"default":"W accent grave majuscule"}},"category":"Lu"},{"key":"1E82","mappings":{"default":{"default":"W accent aigu majuscule"}},"category":"Lu"},{"key":"1E84","mappings":{"default":{"default":"W tréma majuscule"}},"category":"Lu"},{"key":"1E86","mappings":{"default":{"default":"W point en chef majuscule"}},"category":"Lu"},{"key":"1E88","mappings":{"default":{"default":"W point souscrit majuscule"}},"category":"Lu"},{"key":"1E8A","mappings":{"default":{"default":"X point en chef majuscule"}},"category":"Lu"},{"key":"1E8C","mappings":{"default":{"default":"X tréma majuscule"}},"category":"Lu"},{"key":"1E8E","mappings":{"default":{"default":"Y point en chef majuscule"}},"category":"Lu"},{"key":"1E90","mappings":{"default":{"default":"Z accent circonflexe majuscule"}},"category":"Lu"},{"key":"1E92","mappings":{"default":{"default":"Z point souscrit majuscule"}},"category":"Lu"},{"key":"1E94","mappings":{"default":{"default":"Z ligne souscrite majuscule"}},"category":"Lu"},{"key":"1EA0","mappings":{"default":{"default":"A point souscrit majuscule"}},"category":"Lu"},{"key":"1EA2","mappings":{"default":{"default":"A crochet en chef majuscule"}},"category":"Lu"},{"key":"1EB8","mappings":{"default":{"default":"E point souscrit majuscule"}},"category":"Lu"},{"key":"1EBA","mappings":{"default":{"default":"E crochet en chef majuscule"}},"category":"Lu"},{"key":"1EBC","mappings":{"default":{"default":"E tilde majuscule"}},"category":"Lu"},{"key":"1EC8","mappings":{"default":{"default":"I crochet en chef majuscule"}},"category":"Lu"},{"key":"1ECA","mappings":{"default":{"default":"I point souscrit majuscule"}},"category":"Lu"},{"key":"1ECC","mappings":{"default":{"default":"O point souscrit majuscule"}},"category":"Lu"},{"key":"1ECE","mappings":{"default":{"default":"O crochet en chef majuscule"}},"category":"Lu"},{"key":"1EE4","mappings":{"default":{"default":"U point souscrit majuscule"}},"category":"Lu"},{"key":"1EE6","mappings":{"default":{"default":"U crochet en chef majuscule"}},"category":"Lu"},{"key":"1EF2","mappings":{"default":{"default":"Y accent grave majuscule"}},"category":"Lu"},{"key":"1EF4","mappings":{"default":{"default":"Y point souscrit majuscule"}},"category":"Lu"},{"key":"1EF6","mappings":{"default":{"default":"Y crochet en chef majuscule"}},"category":"Lu"},{"key":"1EF8","mappings":{"default":{"default":"Y tilde majuscule"}},"category":"Lu"}]
 ,
-"es/volume.js": 
-[{"locale":"es"},{"key":"bbl","names":["bbl.","bbl"],"mappings":{"default":{"default":"barrile"}},"category":"volume"},{"key":"cu","names":["cu","cu."],"mappings":{"default":{"default":"cúbico"}},"category":"volume"},{"key":"fl. oz.","names":["fl. oz."],"mappings":{"default":{"default":"onzas líquidas"}},"category":"volume"},{"key":"gal","names":["gal","gal."],"mappings":{"default":{"default":"galone"}},"category":"volume"},{"key":"pt","names":["pt","pt."],"mappings":{"default":{"default":"pinta"}},"category":"volume"},{"key":"qt","names":["qt","qt."],"mappings":{"default":{"default":"quart"}},"category":"volume"},{"key":"tbsp","names":["tbsp","tbsp."],"mappings":{"default":{"default":"cuchara"}},"category":"volume"},{"key":"tsp","names":["tsp","tsp."],"mappings":{"default":{"default":"cucharilla"}},"category":"volume"},{"key":"cc","names":["cc"],"mappings":{"default":{"default":"centímetros cúbicos"}},"category":"volume"},{"key":"kl","names":["kl"],"mappings":{"default":{"default":"kilolitro"}},"category":"volume"},{"key":"l","names":["l"],"mappings":{"default":{"default":"litro"}},"category":"volume"},{"key":"ml","names":["ml"],"mappings":{"default":{"default":"mililitro"}},"category":"volume"}]
+"fr/symbols/math_angles.js": 
+[{"locale":"fr"},{"key":"22BE","mappings":{"default":{"default":"angle droit avec arc"}},"category":"Sm"},{"key":"237C","mappings":{"default":{"default":"angle droit avec flèche en zigzag vers le bas"}},"category":"Sm"},{"key":"27C0","mappings":{"default":{"default":"angle tridimensionnel"}},"category":"Sm"},{"category":"Sm","key":"299B","mappings":{"default":{"default":"angle mesuré s'ouvrant vers la gauche"}}},{"category":"Sm","key":"299C","mappings":{"default":{"default":"variante d'angle avec carré"}}},{"key":"299D","mappings":{"default":{"default":"angle droit mesuré pointé"}},"category":"Sm"},{"category":"Sm","key":"299E","mappings":{"default":{"default":"angle avec s inscrit"}}},{"category":"Sm","key":"299F","mappings":{"default":{"default":"angle aigu"}}},{"category":"Sm","key":"29A0","mappings":{"default":{"default":"angle sphérique s'ouvrant vers la gauche"}}},{"category":"Sm","key":"29A1","mappings":{"default":{"default":"angle sphérique s'ouvrant vers le haut"}}},{"category":"Sm","key":"29A2","mappings":{"default":{"default":"angle culbuté"}}},{"category":"Sm","key":"29A3","mappings":{"default":{"default":"angle réfléchi"}}},{"key":"29A4","mappings":{"default":{"default":"angle à barre souscrite"}},"category":"Sm"},{"key":"29A5","mappings":{"default":{"default":"angle à barre souscrite réfléchie"}},"category":"Sm"},{"key":"29A6","mappings":{"default":{"default":"angle oblique s'ouvrant vers le haut"}},"category":"Sm"},{"key":"29A7","mappings":{"default":{"default":"angle oblique s'ouvrant vers le bas"}},"category":"Sm"},{"key":"29A8","mappings":{"default":{"default":"angle calculé à bras vers l'est et bras fléché vers le nord est"}},"category":"Sm"},{"key":"29A9","mappings":{"default":{"default":"angle calculé à bras vers l'ouest et bras fléché vers le nord ouest"}},"category":"Sm"},{"key":"29AA","mappings":{"default":{"default":"angle calculé à bras vers l'est et bras fléché vers le sud est"}},"category":"Sm"},{"key":"29AB","mappings":{"default":{"default":"angle calculé à bras vers l'ouest et bras fléché vers le sud ouest"}},"category":"Sm"},{"key":"29AC","mappings":{"default":{"default":"angle calculé à bras vers le nord et bras fléché vers le nord est"}},"category":"Sm"},{"key":"29AD","mappings":{"default":{"default":"angle calculé à bras vers le nord et bras fléché vers le nord ouest"}},"category":"Sm"},{"key":"29AE","mappings":{"default":{"default":"angle calculé à bras vers le sud et bras fléché vers le sud est"}},"category":"Sm"},{"key":"29AF","mappings":{"default":{"default":"angle calculé à bras vers le sud et bras fléché vers le sud ouest"}},"category":"Sm"}]
+,
+"fr/symbols/math_arrows.js": 
+[{"locale":"fr"},{"key":"2190","mappings":{"default":{"default":"flèche gauche"}},"category":"Sm"},{"key":"2191","mappings":{"default":{"default":"flèche vers le haut"}},"category":"Sm"},{"key":"2192","mappings":{"default":{"default":"flèche droite"}},"category":"Sm"},{"key":"2193","mappings":{"default":{"default":"flèche vers le bas"}},"category":"Sm"},{"key":"2194","mappings":{"default":{"default":"flèche bilatérale"}},"category":"Sm"},{"key":"2195","mappings":{"default":{"default":"flèche haut et bas"}},"category":"So"},{"key":"2196","mappings":{"default":{"default":"flèche nord ouest"}},"category":"So"},{"key":"2197","mappings":{"default":{"default":"flèche nord est"}},"category":"So"},{"key":"2198","mappings":{"default":{"default":"flèche sud est"}},"category":"So"},{"key":"2199","mappings":{"default":{"default":"flèche sud ouest"}},"category":"So"},{"key":"219A","mappings":{"default":{"default":"flèche barrée gauche"}},"category":"Sm"},{"key":"219B","mappings":{"default":{"default":"flèche barrée droite"}},"category":"Sm"},{"key":"219C","mappings":{"default":{"default":"flèche ondulée gauche"}},"category":"So"},{"key":"219D","mappings":{"default":{"default":"flèche ondulée droite"}},"category":"So"},{"key":"219E","mappings":{"default":{"default":"flèche à deux pointes gauche"}},"category":"So"},{"key":"219F","mappings":{"default":{"default":"flèche à deux pointes vers le haut"}},"category":"So"},{"key":"21A0","mappings":{"default":{"default":"flèche à deux pointes droite"}},"category":"Sm"},{"key":"21A1","mappings":{"default":{"default":"flèche à deux pointes vers le bas"}},"category":"So"},{"key":"21A2","mappings":{"default":{"default":"flèche empennée gauche"}},"category":"So"},{"key":"21A3","mappings":{"default":{"default":"flèche empennée droite"}},"category":"Sm"},{"key":"21A4","mappings":{"default":{"default":"flèche d'un taquet gauche"}},"category":"So"},{"key":"21A5","mappings":{"default":{"default":"flèche d'un taquet vers le haut"}},"category":"So"},{"key":"21A6","mappings":{"default":{"default":"flèche d'un taquet droite"}},"category":"Sm"},{"key":"21A7","mappings":{"default":{"default":"flèche d'un taquet vers le bas"}},"category":"So"},{"key":"21A8","mappings":{"default":{"default":"flèche haut bas sur base"}},"category":"So"},{"key":"21A9","mappings":{"default":{"default":"flèche avec crochet gauche"}},"category":"So"},{"key":"21AA","mappings":{"default":{"default":"flèche avec crochet droite"}},"category":"So"},{"key":"21AB","mappings":{"default":{"default":"flèche avec boucle gauche"}},"category":"So"},{"key":"21AC","mappings":{"default":{"default":"flèche avec boucle droite"}},"category":"So"},{"key":"21AD","mappings":{"default":{"default":"flèche ondulée bilatérale"}},"category":"So"},{"key":"21AE","mappings":{"default":{"default":"flèche barrée bilatérale"}},"category":"Sm"},{"key":"21AF","mappings":{"default":{"default":"flèche vers le bas en zigzag"}},"category":"So"},{"key":"21B0","mappings":{"default":{"default":"flèche vers le haut avec pointe gauche"}},"category":"So"},{"key":"21B1","mappings":{"default":{"default":"flèche vers le haut avec pointe droite"}},"category":"So"},{"key":"21B2","mappings":{"default":{"default":"flèche vers le bas avec pointe gauche"}},"category":"So"},{"key":"21B3","mappings":{"default":{"default":"flèche vers le bas avec pointe droite"}},"category":"So"},{"key":"21B4","mappings":{"default":{"default":"flèche vers le bas avec coin droit"}},"category":"So"},{"key":"21B5","mappings":{"default":{"default":"flèche vers le bas avec coin gauche"}},"category":"So"},{"key":"21B6","mappings":{"default":{"default":"flèche semi circulaire en sens positif"}},"category":"So"},{"key":"21B7","mappings":{"default":{"default":"flèche semi circulaire en sens négatif"}},"category":"So"},{"key":"21B8","mappings":{"default":{"default":"flèche nord ouest vers une barre horizontale longue"}},"category":"So"},{"key":"21B9","mappings":{"default":{"default":"flèche gauche vers un taquet sur flèche droite vers un taquet"}},"category":"So"},{"key":"21BA","mappings":{"default":{"default":"flèche en sens positif à cercle ouvert"}},"category":"So"},{"key":"21BB","mappings":{"default":{"default":"flèche en sens négatif à cercle ouvert"}},"category":"So"},{"key":"21C4","mappings":{"default":{"default":"flèche vers le haut par dessus flèche gauche"}},"category":"So"},{"key":"21C5","mappings":{"default":{"default":"flèche vers le haut à gauche d'une flèche vers le bas"}},"category":"So"},{"key":"21C6","mappings":{"default":{"default":"flèche gauche par dessus flèche droite"}},"category":"So"},{"key":"21C7","mappings":{"default":{"default":"paire de flèches gauche"}},"category":"So"},{"key":"21C8","mappings":{"default":{"default":"paire de flèches vers le haut"}},"category":"So"},{"key":"21C9","mappings":{"default":{"default":"paire de flèches droite"}},"category":"So"},{"key":"21CA","mappings":{"default":{"default":"paire de flèches vers le bas"}},"category":"So"},{"key":"21CD","mappings":{"default":{"default":"double flèche barrée gauche"}},"category":"So"},{"key":"21CE","mappings":{"default":{"default":"double flèche barrée bilatérale"}},"category":"Sm"},{"key":"21CF","mappings":{"default":{"default":"double flèche barrée droite"}},"category":"Sm"},{"key":"21D0","mappings":{"default":{"default":"double flèche gauche"}},"category":"So"},{"key":"21D1","mappings":{"default":{"default":"double flèche vers le haut"}},"category":"So"},{"key":"21D2","mappings":{"default":{"default":"double flèche droite"}},"category":"Sm"},{"key":"21D3","mappings":{"default":{"default":"double flèche vers le bas"}},"category":"So"},{"key":"21D4","mappings":{"default":{"default":"double flèche bilatérale"}},"category":"Sm"},{"key":"21D5","mappings":{"default":{"default":"double flèche haut bas"}},"category":"So"},{"key":"21D6","mappings":{"default":{"default":"double flèche nord ouest"}},"category":"So"},{"key":"21D7","mappings":{"default":{"default":"double flèche nord est"}},"category":"So"},{"key":"21D8","mappings":{"default":{"default":"double flèche sud est"}},"category":"So"},{"key":"21D9","mappings":{"default":{"default":"double flèche sud ouest"}},"category":"So"},{"key":"21DA","mappings":{"default":{"default":"triple flèche gauche"}},"category":"So"},{"key":"21DB","mappings":{"default":{"default":"triple flèche droite"}},"category":"So"},{"key":"21DC","mappings":{"default":{"default":"flèche en tire bouchon gauche"}},"category":"So"},{"key":"21DD","mappings":{"default":{"default":"flèche en tire bouchon droite"}},"category":"So"},{"key":"21DE","mappings":{"default":{"default":"flèche vers le haut avec double barre"}},"category":"So"},{"key":"21DF","mappings":{"default":{"default":"flèche vers le bas avec double barre"}},"category":"So"},{"key":"21E0","mappings":{"default":{"default":"flèche pointillée gauche"}},"category":"So"},{"key":"21E1","mappings":{"default":{"default":"flèche pointillée vers le haut"}},"category":"So"},{"key":"21E2","mappings":{"default":{"default":"flèche pointillée droite"}},"category":"So"},{"key":"21E3","mappings":{"default":{"default":"flèche pointillée vers le bas"}},"category":"So"},{"key":"21E4","mappings":{"default":{"default":"flèche gauche vers un taquet"}},"category":"So"},{"key":"21E5","mappings":{"default":{"default":"flèche droite vers un taquet"}},"category":"So"},{"key":"21E6","mappings":{"default":{"default":"flèche blanche gauche"}},"category":"So"},{"key":"21E7","mappings":{"default":{"default":"flèche blanche vers le haut"}},"category":"So"},{"key":"21E8","mappings":{"default":{"default":"flèche blanche droite"}},"category":"So"},{"key":"21E9","mappings":{"default":{"default":"flèche blanche vers le bas"}},"category":"So"},{"key":"21EA","mappings":{"default":{"default":"flèche blanche vers le haut à partir d'un taquet"}},"category":"So"},{"category":"So","key":"21EB","mappings":{"default":{"default":"flèche blanche vers le haut sur socle"}}},{"category":"So","key":"21EC","mappings":{"default":{"default":"flèche blanche vers le haut sur socle et trait horizontal"}}},{"category":"So","key":"21ED","mappings":{"default":{"default":"flèche blanche vers le haut sur socle et barre verticale"}}},{"category":"So","key":"21EE","mappings":{"default":{"default":"double flèche blanche vers le haut"}}},{"category":"So","key":"21EF","mappings":{"default":{"default":"double flèche blanche vers le haut sur socle"}}},{"category":"So","key":"21F0","mappings":{"default":{"default":"flèche blanche vers la droite appuyée sur mur"}}},{"category":"So","key":"21F1","mappings":{"default":{"default":"flèche nord ouest en encoignure"}}},{"category":"So","key":"21F2","mappings":{"default":{"default":"flèche sud est en encoignure"}}},{"category":"So","key":"21F3","mappings":{"default":{"default":"flèche blanche vers le haut et le bas"}}},{"category":"Sm","key":"21F4","mappings":{"default":{"default":"flèche vers la droite à petit cercle"}}},{"key":"21F5","mappings":{"default":{"default":"flèche descendante à gauche d'une flèche montante"}},"category":"Sm"},{"category":"Sm","key":"21F6","mappings":{"default":{"default":"trois flèches vers la droite"}}},{"category":"Sm","key":"21F7","mappings":{"default":{"default":"flèche vers la gauche barrée verticalement"}}},{"category":"Sm","key":"21F8","mappings":{"default":{"default":"flèche vers la droite barrée verticalement"}}},{"category":"Sm","key":"21F9","mappings":{"default":{"default":"flèche vers la droite et la gauche barrée verticalement"}}},{"category":"Sm","key":"21FA","mappings":{"default":{"default":"flèche vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"21FB","mappings":{"default":{"default":"flèche vers la droite barrée deux fois verticalement"}}},{"category":"Sm","key":"21FC","mappings":{"default":{"default":"flèche bilatérale barrée deux fois verticalement"}}},{"key":"21FD","mappings":{"default":{"default":"flèche à tête creuse gauche"}},"category":"Sm"},{"key":"21FE","mappings":{"default":{"default":"flèche à tête creuse droite"}},"category":"Sm"},{"key":"21FF","mappings":{"default":{"default":"flèche à tête creuse bilatérale"}},"category":"Sm"},{"category":"So","key":"2301","mappings":{"default":{"default":"flèche électrique"}}},{"category":"So","key":"2303","mappings":{"default":{"default":"pointe de flèche vers le haut"}}},{"category":"So","key":"2304","mappings":{"default":{"default":"pointe de flèche vers le bas"}}},{"category":"So","key":"2324","mappings":{"default":{"default":"pointe de flèche vers le haut entre deux traits horizontaux"}}},{"category":"So","key":"238B","mappings":{"default":{"default":"cercle brisé à flèche nord ouest (échappement)"}}},{"category":"So","key":"2794","mappings":{"default":{"default":"flèche grasse vers la droite à pointe large"}}},{"category":"So","key":"2798","mappings":{"default":{"default":"flèche grasse sud est"}}},{"category":"So","key":"2799","mappings":{"default":{"default":"flèche grasse vers la droite grasse"}}},{"category":"So","key":"279A","mappings":{"default":{"default":"flèche grasse nord est"}}},{"category":"So","key":"279B","mappings":{"default":{"default":"flèche de traçage vers la droite"}}},{"category":"So","key":"279C","mappings":{"default":{"default":"flèche grasse à pointe arrondie vers la droite"}}},{"category":"So","key":"279D","mappings":{"default":{"default":"flèche à pointe en triangle vers la droite"}}},{"category":"So","key":"279E","mappings":{"default":{"default":"flèche grasse à pointe en triangle vers la droite"}}},{"category":"So","key":"279F","mappings":{"default":{"default":"flèche avec pointillés à pointe en triangle vers la droite"}}},{"category":"So","key":"27A0","mappings":{"default":{"default":"flèche grasse avec pointillés à pointe en triangle vers la droite"}}},{"category":"So","key":"27A1","mappings":{"default":{"default":"flèche noire vers la droite"}}},{"category":"So","key":"27A2","mappings":{"default":{"default":"pointe de flèche vers la droite en trompe l'œil éclairée par le haut"}}},{"category":"So","key":"27A3","mappings":{"default":{"default":"pointe de flèche vers la droite en trompe l'œil éclairée par le bas"}}},{"category":"So","key":"27A4","mappings":{"default":{"default":"pointe de flèche noire vers la droite"}}},{"category":"So","key":"27A5","mappings":{"default":{"default":"flèche noire grasse courbée vers le bas et vers la droite"}}},{"category":"So","key":"27A6","mappings":{"default":{"default":"flèche noire courbée vers le haut et vers la droite"}}},{"category":"So","key":"27A7","mappings":{"default":{"default":"flèche noire trapue vers la droite"}}},{"category":"So","key":"27A8","mappings":{"default":{"default":"flèche noire grasse à pointe concave vers la droite"}}},{"category":"So","key":"27A9","mappings":{"default":{"default":"flèche blanche vers la droite ombrée à l'avant"}}},{"category":"So","key":"27AA","mappings":{"default":{"default":"flèche blanche vers la droite ombrée à l'arrière"}}},{"category":"So","key":"27AB","mappings":{"default":{"default":"flèche blanche vers la droite penchée vers l'arrière et ombrée"}}},{"category":"So","key":"27AC","mappings":{"default":{"default":"flèche blanche vers la droite penchée vers l'avant et ombrée"}}},{"category":"So","key":"27AD","mappings":{"default":{"default":"flèche blanche grasse vers la droite à ombre inférieure droite"}}},{"category":"So","key":"27AE","mappings":{"default":{"default":"flèche blanche grasse vers la droite à ombre supérieure droite"}}},{"category":"So","key":"27AF","mappings":{"default":{"default":"flèche encochée blanche vers la droite ombrée à l'avant et par dessous"}}},{"category":"So","key":"27B1","mappings":{"default":{"default":"flèche encochée blanche vers la droite ombrée à l'avant et par dessus"}}},{"category":"So","key":"27B2","mappings":{"default":{"default":"flèche blanche grasse vers la droite à contour circulaire"}}},{"category":"So","key":"27B3","mappings":{"default":{"default":"flèche empennée blanche vers la droite"}}},{"category":"So","key":"27B4","mappings":{"default":{"default":"flèche empennée noir sud est"}}},{"category":"So","key":"27B5","mappings":{"default":{"default":"flèche empennée noir vers la droite"}}},{"category":"So","key":"27B6","mappings":{"default":{"default":"flèche empennée noir nord est"}}},{"category":"So","key":"27B7","mappings":{"default":{"default":"flèche empennée gras noire sud est"}}},{"category":"So","key":"27B8","mappings":{"default":{"default":"flèche empennée gras noire vers la droite"}}},{"category":"So","key":"27B9","mappings":{"default":{"default":"flèche empennée gras noire nord est"}}},{"category":"So","key":"27BA","mappings":{"default":{"default":"flèche vers la droite à pointe larmée"}}},{"category":"So","key":"27BB","mappings":{"default":{"default":"flèche vers la droite à hampe larmée"}}},{"category":"So","key":"27BC","mappings":{"default":{"default":"flèche vers la droite à queue en forme de coin"}}},{"category":"So","key":"27BD","mappings":{"default":{"default":"flèche grasse vers la droite à queue en forme de coin"}}},{"category":"So","key":"27BE","mappings":{"default":{"default":"flèche vers la droite à contour ouvert"}}},{"category":"Sm","key":"27F0","mappings":{"default":{"default":"quadruple flèche vers le haut"}}},{"category":"Sm","key":"27F1","mappings":{"default":{"default":"quadruple flèche vers le bas"}}},{"category":"Sm","key":"27F2","mappings":{"default":{"default":"flèche sens antihoraire entrouverte"}}},{"category":"Sm","key":"27F3","mappings":{"default":{"default":"flèche sens horaire entrouverte"}}},{"category":"Sm","key":"27F4","mappings":{"default":{"default":"flèche vers la droite à signe plus cerclé"}}},{"key":"27F5","mappings":{"default":{"default":"longue flèche gauche"}},"category":"Sm"},{"key":"27F6","mappings":{"default":{"default":"longue flèche droite"}},"category":"Sm"},{"key":"27F7","mappings":{"default":{"default":"longue flèche bilatérale"}},"category":"Sm"},{"key":"27F8","mappings":{"default":{"default":"longue double flèche gauche"}},"category":"Sm"},{"key":"27F9","mappings":{"default":{"default":"longue double flèche droite"}},"category":"Sm"},{"key":"27FA","mappings":{"default":{"default":"longue double flèche bilatérale"}},"category":"Sm"},{"category":"Sm","key":"27FB","mappings":{"default":{"default":"longue flèche d'un taquet vers la gauche"}}},{"key":"27FC","mappings":{"default":{"default":"longue flèche d'un taquet droite"}},"category":"Sm"},{"category":"Sm","key":"27FD","mappings":{"default":{"default":"longue double flèche d'un taquet vers la gauche"}}},{"category":"Sm","key":"27FE","mappings":{"default":{"default":"longue double flèche d'un taquet vers la droite"}}},{"key":"27FF","mappings":{"default":{"default":"longue flèche en tire bouchon droite"}},"category":"Sm"},{"category":"Sm","key":"2900","mappings":{"default":{"default":"flèche à deux pointes vers la droite barrée verticalement"}}},{"category":"Sm","key":"2901","mappings":{"default":{"default":"flèche à deux pointes vers la droite barrée deux fois verticalement"}}},{"category":"Sm","key":"2902","mappings":{"default":{"default":"double flèche vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2903","mappings":{"default":{"default":"double flèche vers la droite barrée verticalement"}}},{"category":"Sm","key":"2904","mappings":{"default":{"default":"flèche bilatérale double barrée verticalement"}}},{"key":"2905","mappings":{"default":{"default":"flèche à deux têtes d'un taquet droite"}},"category":"Sm"},{"category":"Sm","key":"2906","mappings":{"default":{"default":"double flèche d'un taquet vers la gauche"}}},{"category":"Sm","key":"2907","mappings":{"default":{"default":"double flèche d'un taquet vers la droite"}}},{"category":"Sm","key":"2908","mappings":{"default":{"default":"flèche vers le bas barrée horizontalement"}}},{"category":"Sm","key":"2909","mappings":{"default":{"default":"flèche vers le haut barrée horizontalement"}}},{"category":"Sm","key":"290A","mappings":{"default":{"default":"triple flèche vers le haut"}}},{"category":"Sm","key":"290B","mappings":{"default":{"default":"triple flèche vers le bas"}}},{"key":"290C","mappings":{"default":{"default":"flèche à deux traits gauche"}},"category":"Sm"},{"key":"290D","mappings":{"default":{"default":"flèche à deux traits droite"}},"category":"Sm"},{"key":"290E","mappings":{"default":{"default":"flèche à trois traits gauche"}},"category":"Sm"},{"key":"290F","mappings":{"default":{"default":"flèche à trois traits droite"}},"category":"Sm"},{"key":"2910","mappings":{"default":{"default":"flèche à trois traits et à deux têtes droite"}},"category":"Sm"},{"key":"2911","mappings":{"default":{"default":"flèche à fût pointillé droite"}},"category":"Sm"},{"key":"2912","mappings":{"default":{"default":"flèche jusqu'à taquet vers le haut"}},"category":"Sm"},{"key":"2913","mappings":{"default":{"default":"flèche jusqu'à taquet vers le bas"}},"category":"Sm"},{"category":"Sm","key":"2914","mappings":{"default":{"default":"flèche empennée vers la droite barrée verticalement"}}},{"category":"Sm","key":"2915","mappings":{"default":{"default":"flèche empennée vers la droite barrée deux fois verticalement"}}},{"key":"2916","mappings":{"default":{"default":"flèche empennée à deux têtes droite"}},"category":"Sm"},{"category":"Sm","key":"2917","mappings":{"default":{"default":"flèche empennée à deux têtes vers la droite barrée verticalement"}}},{"category":"Sm","key":"2918","mappings":{"default":{"default":"flèche empennée à deux têtes vers la droite barrée deux fois verticalement"}}},{"key":"2919","mappings":{"default":{"default":"empenne gauche"}},"category":"Sm"},{"category":"Sm","key":"291A","mappings":{"default":{"default":"empenne vers la droite"}}},{"key":"291B","mappings":{"default":{"default":"double empenne gauche"}},"category":"Sm"},{"key":"291C","mappings":{"default":{"default":"double empenne droite"}},"category":"Sm"},{"key":"291D","mappings":{"default":{"default":"flèche vers un losange noir à gauche"}},"category":"Sm"},{"key":"291E","mappings":{"default":{"default":"flèche vers un losange noir à droite"}},"category":"Sm"},{"key":"291F","mappings":{"default":{"default":"flèche d'un taquet vers un losange noir à gauche"}},"category":"Sm"},{"key":"2920","mappings":{"default":{"default":"flèche d'un taquet vers un losange noir à droite"}},"category":"Sm"},{"category":"Sm","key":"2921","mappings":{"default":{"default":"flèche nord ouest et sud est"}}},{"category":"Sm","key":"2922","mappings":{"default":{"default":"flèche nord est et sud ouest"}}},{"key":"2923","mappings":{"default":{"default":"flèche nord ouest à crochet"}},"category":"Sm"},{"key":"2924","mappings":{"default":{"default":"flèche nord est à crochet"}},"category":"Sm"},{"key":"2925","mappings":{"default":{"default":"flèche sud est à crochet"}},"category":"Sm"},{"key":"2926","mappings":{"default":{"default":"flèche sud ouest à crochet"}},"category":"Sm"},{"key":"2927","mappings":{"default":{"default":"flèches nord ouest et nord est"}},"category":"Sm"},{"key":"2928","mappings":{"default":{"default":"flèches nord est et sud est"}},"category":"Sm"},{"key":"2929","mappings":{"default":{"default":"flèches sud est et sud ouest"}},"category":"Sm"},{"key":"292A","mappings":{"default":{"default":"flèches sud ouest et nord ouest"}},"category":"Sm"},{"category":"Sm","key":"292D","mappings":{"default":{"default":"flèche sud est sur flèche nord est"}}},{"category":"Sm","key":"292E","mappings":{"default":{"default":"flèche nord est sur flèche sud est"}}},{"category":"Sm","key":"292F","mappings":{"default":{"default":"diagonale descendante sur flèche nord est"}}},{"category":"Sm","key":"2930","mappings":{"default":{"default":"diagonale montante sur flèche sud est"}}},{"category":"Sm","key":"2931","mappings":{"default":{"default":"flèche nord est sur flèche nord ouest"}}},{"category":"Sm","key":"2932","mappings":{"default":{"default":"flèche nord ouest sur flèche nord est"}}},{"key":"2933","mappings":{"default":{"default":"flèche bossue droite"}},"category":"Sm"},{"category":"Sm","key":"2934","mappings":{"default":{"default":"flèche courbe vers la droite puis le haut"}}},{"key":"2935","mappings":{"default":{"default":"flèche courbe vers la droite puis le bas"}},"category":"Sm"},{"key":"2936","mappings":{"default":{"default":"flèche courbe vers le bas puis la gauche"}},"category":"Sm"},{"key":"2937","mappings":{"default":{"default":"flèche courbe vers le bas puis la droite"}},"category":"Sm"},{"key":"2938","mappings":{"default":{"default":"côté droit d'arc fléché sens horaire"}},"category":"Sm"},{"key":"2939","mappings":{"default":{"default":"côté gauche d'arc fléché sens antihoraire"}},"category":"Sm"},{"category":"Sm","key":"293A","mappings":{"default":{"default":"arc supérieur fléché sens antihoraire"}}},{"category":"Sm","key":"293B","mappings":{"default":{"default":"arc inférieur fléché sens antihoraire"}}},{"key":"293C","mappings":{"default":{"default":"arc fléché sens horaire et signe moins souscrit"}},"category":"Sm"},{"key":"293D","mappings":{"default":{"default":"arc fléché sens antihoraire et signe plus souscrit"}},"category":"Sm"},{"category":"Sm","key":"293E","mappings":{"default":{"default":"demi cercle fléché inférieur droit sens horaire"}}},{"category":"Sm","key":"293F","mappings":{"default":{"default":"demi cercle fléché inférieur gauche sens antihoraire"}}},{"category":"Sm","key":"2940","mappings":{"default":{"default":"cercle fléché sens antihoraire"}}},{"category":"Sm","key":"2941","mappings":{"default":{"default":"cercle fléché sens horaire"}}},{"category":"Sm","key":"2942","mappings":{"default":{"default":"flèche vers la droite surmontant fléchette vers la gauche"}}},{"category":"Sm","key":"2943","mappings":{"default":{"default":"flèche vers la gauche surmontant fléchette vers la droite"}}},{"category":"Sm","key":"2944","mappings":{"default":{"default":"fléchette vers la droite surmontant flèche vers la gauche"}}},{"key":"2945","mappings":{"default":{"default":"flèche droite surmontant signe moins"}},"category":"Sm"},{"category":"Sm","key":"2946","mappings":{"default":{"default":"flèche vers la gauche surmontant signe plus"}}},{"category":"Sm","key":"2947","mappings":{"default":{"default":"flèche vers la droite au travers un x"}}},{"key":"2948","mappings":{"default":{"default":"petit cercle traversé d'une flèche bilatérale"}},"category":"Sm"},{"key":"2949","mappings":{"default":{"default":"petit cercle surmonté d'une flèche montante à deux têtes"}},"category":"Sm"},{"key":"2970","mappings":{"default":{"default":"flèche en épingle à cheveu droite"}},"category":"Sm"},{"key":"2971","mappings":{"default":{"default":"flèche droite surmontée d'un égal"}},"category":"Sm"},{"key":"2972","mappings":{"default":{"default":"flèche droite surmontée d'un tilde"}},"category":"Sm"},{"key":"2973","mappings":{"default":{"default":"tilde surmonté d'une flèche gauche"}},"category":"Sm"},{"key":"2974","mappings":{"default":{"default":"tilde surmonté d'une flèche droite"}},"category":"Sm"},{"key":"2975","mappings":{"default":{"default":"presque égal à surmonté d'une flèche droite"}},"category":"Sm"},{"key":"2976","mappings":{"default":{"default":"inférieur à surmonté d'une flèche gauche"}},"category":"Sm"},{"category":"Sm","key":"2977","mappings":{"default":{"default":"flèche vers la gauche à travers un inférieur à"}}},{"key":"2978","mappings":{"default":{"default":"flèche droite surmontée d'un supérieur à"}},"category":"Sm"},{"key":"2979","mappings":{"default":{"default":"flèche droite surmontée d'un sous ensemble de"}},"category":"Sm"},{"category":"Sm","key":"297A","mappings":{"default":{"default":"flèche vers la gauche au travers d'un sous ensemble de"}}},{"key":"297B","mappings":{"default":{"default":"flèche gauche surmontée d'un sur ensemble de"}},"category":"Sm"},{"key":"29B3","mappings":{"default":{"default":"ensemble vide flèche droite en chef"}},"category":"Sm"},{"key":"29B4","mappings":{"default":{"default":"ensemble vide flèche gauche en chef"}},"category":"Sm"},{"category":"Sm","key":"29BD","mappings":{"default":{"default":"cercle traversé d'une flèche montante"}}},{"category":"Sm","key":"29EA","mappings":{"default":{"default":"losange noir à flèche vers le bas"}}},{"category":"Sm","key":"29EC","mappings":{"default":{"default":"cercle blanc à flèche vers le bas"}}},{"category":"Sm","key":"29ED","mappings":{"default":{"default":"cercle noir à flèche vers le bas"}}},{"key":"2A17","mappings":{"default":{"default":"intégrale à crosse fléchée gauche"}},"category":"Sm"},{"category":"So","key":"2B00","mappings":{"default":{"default":"flèche blanche nord est"}}},{"category":"So","key":"2B01","mappings":{"default":{"default":"flèche blanche nord ouest"}}},{"category":"So","key":"2B02","mappings":{"default":{"default":"flèche blanche sud est"}}},{"category":"So","key":"2B03","mappings":{"default":{"default":"flèche blanche sud ouest"}}},{"category":"So","key":"2B04","mappings":{"default":{"default":"flèche blanche bilatérale"}}},{"category":"So","key":"2B05","mappings":{"default":{"default":"flèche noire vers la gauche"}}},{"category":"So","key":"2B06","mappings":{"default":{"default":"flèche noire vers le haut"}}},{"category":"So","key":"2B07","mappings":{"default":{"default":"flèche noire vers le bas"}}},{"category":"So","key":"2B08","mappings":{"default":{"default":"flèche noire nord est"}}},{"category":"So","key":"2B09","mappings":{"default":{"default":"flèche noire nord ouest"}}},{"category":"So","key":"2B0A","mappings":{"default":{"default":"flèche noire sud est"}}},{"category":"So","key":"2B0B","mappings":{"default":{"default":"flèche noire sud ouest"}}},{"category":"So","key":"2B0C","mappings":{"default":{"default":"flèche noire bilatérale"}}},{"category":"So","key":"2B0D","mappings":{"default":{"default":"flèche noire haut et bas"}}},{"category":"So","key":"2B0E","mappings":{"default":{"default":"flèche vers la droite à pointe pliée vers le bas"}}},{"category":"So","key":"2B0F","mappings":{"default":{"default":"flèche vers la droite à pointe pliée vers le haut"}}},{"category":"So","key":"2B10","mappings":{"default":{"default":"flèche vers la gauche à pointe pliée vers le bas"}}},{"category":"So","key":"2B11","mappings":{"default":{"default":"flèche vers la gauche à pointe pliée vers le haut"}}},{"category":"Sm","key":"2B30","mappings":{"default":{"default":"flèche vers la gauche à petit cercle"}}},{"category":"Sm","key":"2B31","mappings":{"default":{"default":"trois flèches vers la gauche"}}},{"category":"Sm","key":"2B32","mappings":{"default":{"default":"flèche vers la gauche à signe plus cerclé"}}},{"category":"Sm","key":"2B33","mappings":{"default":{"default":"longue flèche vers la gauche en tire bouchon"}}},{"category":"Sm","key":"2B34","mappings":{"default":{"default":"flèche à deux pointes vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2B35","mappings":{"default":{"default":"flèche à deux pointes vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"2B36","mappings":{"default":{"default":"flèche à deux têtes d'un taquet vers la gauche"}}},{"category":"Sm","key":"2B37","mappings":{"default":{"default":"flèche à trois traits et à deux têtes vers la gauche"}}},{"category":"Sm","key":"2B38","mappings":{"default":{"default":"flèche vers la gauche à fût pointillé"}}},{"category":"Sm","key":"2B39","mappings":{"default":{"default":"flèche empennée vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2B3A","mappings":{"default":{"default":"flèche empennée vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"2B3B","mappings":{"default":{"default":"flèche empennée à deux têtes vers la gauche"}}},{"category":"Sm","key":"2B3C","mappings":{"default":{"default":"flèche empennée à deux têtes vers la gauche barrée verticalement"}}},{"category":"Sm","key":"2B3D","mappings":{"default":{"default":"flèche empennée à deux têtes vers la gauche barrée deux fois verticalement"}}},{"category":"Sm","key":"2B3E","mappings":{"default":{"default":"flèche vers la gauche au travers un x"}}},{"category":"Sm","key":"2B3F","mappings":{"default":{"default":"flèche vers la gauche bossue"}}},{"category":"Sm","key":"2B40","mappings":{"default":{"default":"flèche vers la gauche surmontée d'un égal"}}},{"category":"Sm","key":"2B41","mappings":{"default":{"default":"flèche vers la gauche surmontée d'un tilde"}}},{"category":"Sm","key":"2B42","mappings":{"default":{"default":"presque égal à réfléchi surmonté d'une flèche vers la gauche"}}},{"category":"Sm","key":"2B43","mappings":{"default":{"default":"flèche vers la droite à travers un inférieur à"}}},{"category":"Sm","key":"2B44","mappings":{"default":{"default":"flèche vers la droite au travers d'un sous ensemble de"}}},{"category":"So","key":"2B45","mappings":{"default":{"default":"quadruple flèche vers la gauche"}}},{"category":"So","key":"2B46","mappings":{"default":{"default":"quadruple flèche vers la droite"}}},{"category":"Sm","key":"2B47","mappings":{"default":{"default":"flèche vers la droite surmontée d'un opérateur tilde réfléchi"}}},{"category":"Sm","key":"2B48","mappings":{"default":{"default":"presque égal à réfléchi surmonté d'une flèche vers la droite"}}},{"category":"Sm","key":"2B49","mappings":{"default":{"default":"flèche vers la gauche surmontée de l'opérateur tilde"}}},{"category":"Sm","key":"2B4A","mappings":{"default":{"default":"flèche vers la gauche par dessus presque égal à"}}},{"category":"Sm","key":"2B4B","mappings":{"default":{"default":"tilde réfléchi surmonté d'une flèche vers la gauche"}}},{"category":"Sm","key":"2B4C","mappings":{"default":{"default":"ilde surmonté d'une flèche vers la droite"}}},{"category":"Sm","key":"FFE9","mappings":{"default":{"default":"flèche vers la gauche demi chasse"}}},{"category":"Sm","key":"FFEA","mappings":{"default":{"default":"flèche vers le haut demi chasse"}}},{"category":"Sm","key":"FFEB","mappings":{"default":{"default":"flèche vers la droite demi chasse"}}},{"category":"Sm","key":"FFEC","mappings":{"default":{"default":"flèche vers le bas demi chasse"}}}]
+,
+"fr/symbols/math_characters.js": 
+[{"locale":"fr"},{"key":"2113","mappings":{"default":{"default":"l minuscule en script"}},"category":"Ll"},{"key":"2118","mappings":{"default":{"default":"fonction elliptique de weierstrass"}},"category":"Sm"},{"category":"Ll","key":"213C","mappings":{"default":{"default":"pi ajouré"}}},{"category":"Ll","key":"213D","mappings":{"default":{"default":"gamma ajouré"}}},{"category":"Lu","key":"213E","mappings":{"default":{"default":"Gamma majuscule ajouré"}}},{"category":"Lu","key":"213F","mappings":{"default":{"default":"Pi majuscule ajouré"}}},{"category":"Sm","key":"2140","mappings":{"default":{"default":"sommation de la famille ajouré"}}},{"key":"2145","mappings":{"default":{"default":"D majuscule"}},"category":"Lu"},{"key":"2146","mappings":{"default":{"default":"d ajouré en italique"}},"category":"Ll"},{"key":"2147","mappings":{"default":{"default":"e ajouré en italique"}},"category":"Ll"},{"key":"2148","mappings":{"default":{"default":"i ajouré en italique"}},"category":"Ll"},{"category":"Ll","key":"2149","mappings":{"default":{"default":"j ajouré en italique"}}},{"key":"1D6A4","mappings":{"default":{"default":"dotless i"}},"category":"Ll"},{"key":"1D6A5","mappings":{"default":{"default":"dotless j"}},"category":"Ll"}]
+,
+"fr/symbols/math_delimiters.js": 
+[{"locale":"fr"},{"key":"0028","mappings":{"default":{"default":"parenthèse gauche","alternative":"parenthèse ouvrante"}},"category":"Ps"},{"key":"0029","mappings":{"default":{"default":"parenthèse droite","alternative":"parenthèse fermante"}},"category":"Pe"},{"key":"005B","mappings":{"default":{"default":"crochet gauche","alternative":"crochet ouvrant"}},"category":"Ps"},{"key":"005D","mappings":{"default":{"default":"crochet droit","alternative":"crochet fermant"}},"category":"Pe"},{"key":"007B","mappings":{"default":{"default":"accolade gauche","alternative":"accolade ouvrante"}},"category":"Ps"},{"key":"007D","mappings":{"default":{"default":"accolade droite","alternative":"accolade fermante"}},"category":"Pe"},{"category":"Ps","key":"2045","mappings":{"default":{"default":"crochet gauche avec pique"}}},{"category":"Pe","key":"2046","mappings":{"default":{"default":"crochet droit avec pique"}}},{"key":"2308","mappings":{"default":{"default":"plafond à gauche"}},"category":"Sm"},{"key":"2309","mappings":{"default":{"default":"plafond à droite"}},"category":"Sm"},{"key":"230A","mappings":{"default":{"default":"plancher à gauche"}},"category":"Sm"},{"key":"230B","mappings":{"default":{"default":"plancher à droite"}},"category":"Sm"},{"key":"230C","mappings":{"default":{"default":"repère sud est"}},"category":"So"},{"key":"230D","mappings":{"default":{"default":"repère sud ouest"}},"category":"So"},{"key":"230E","mappings":{"default":{"default":"repère nord est"}},"category":"So"},{"key":"230F","mappings":{"default":{"default":"repère nord ouest"}},"category":"So"},{"key":"231C","mappings":{"default":{"default":"coin nord ouest"}},"category":"So"},{"key":"231D","mappings":{"default":{"default":"coin nord est"}},"category":"So"},{"key":"231E","mappings":{"default":{"default":"coin sud ouest"}},"category":"So"},{"key":"231F","mappings":{"default":{"default":"coin sud est"}},"category":"So"},{"key":"2320","mappings":{"default":{"default":"moitié supérieure d'intégrale"}},"category":"Sm"},{"key":"2321","mappings":{"default":{"default":"moitié inférieure d'intégrale"}},"category":"Sm"},{"key":"2329","mappings":{"default":{"default":"chevron gauche"}},"category":"Ps"},{"key":"232A","mappings":{"default":{"default":"chevron droite"}},"category":"Pe"},{"category":"Sm","key":"239B","mappings":{"default":{"default":"arc supérieur de parenthèse gauche"}}},{"category":"Sm","key":"239C","mappings":{"default":{"default":"rallonge de parenthèse gauche"}}},{"category":"Sm","key":"239D","mappings":{"default":{"default":"arc inférieur de parenthèse gauche"}}},{"category":"Sm","key":"239E","mappings":{"default":{"default":"arc supérieur de parenthèse droite"}}},{"category":"Sm","key":"239F","mappings":{"default":{"default":"rallonge de parenthèse droite"}}},{"category":"Sm","key":"23A0","mappings":{"default":{"default":"arc inférieur de parenthèse droite"}}},{"category":"Sm","key":"23A1","mappings":{"default":{"default":"coin supérieur de crochet gauche"}}},{"category":"Sm","key":"23A2","mappings":{"default":{"default":"rallonge de crochet gauche"}}},{"category":"Sm","key":"23A3","mappings":{"default":{"default":"coin inférieur de crochet gauche"}}},{"category":"Sm","key":"23A4","mappings":{"default":{"default":"coin supérieur de crochet droit"}}},{"category":"Sm","key":"23A5","mappings":{"default":{"default":"rallonge de crochet droit"}}},{"category":"Sm","key":"23A6","mappings":{"default":{"default":"coin inférieur de crochet droit"}}},{"category":"Sm","key":"23A7","mappings":{"default":{"default":"arc supérieur d'accolade gauche"}}},{"category":"Sm","key":"23A8","mappings":{"default":{"default":"milieu d'accolade gauche"}}},{"category":"Sm","key":"23A9","mappings":{"default":{"default":"arc inférieur d'accolade gauche"}}},{"category":"Sm","key":"23AA","mappings":{"default":{"default":"rallonge d'accolade"}}},{"category":"Sm","key":"23AB","mappings":{"default":{"default":"arc supérieur d'accolade droite"}}},{"category":"Sm","key":"23AC","mappings":{"default":{"default":"milieu d'accolade droite"}}},{"category":"Sm","key":"23AD","mappings":{"default":{"default":"arc inférieur d'accolade droite"}}},{"category":"Sm","key":"23AE","mappings":{"default":{"default":"rallonge d'intégrale"}}},{"category":"Sm","key":"23AF","mappings":{"default":{"default":"rallonge de ligne horizontale"}}},{"key":"23B0","mappings":{"default":{"default":"moitié supérieure gauche ou inférieure droite d'accolade"}},"category":"Sm"},{"key":"23B1","mappings":{"default":{"default":"moitié supérieure droite ou inférieure gauche d'accolade"}},"category":"Sm"},{"category":"Sm","key":"23B2","mappings":{"default":{"default":"haut du signe de somme"}}},{"category":"Sm","key":"23B3","mappings":{"default":{"default":"bas du signe de somme"}}},{"key":"23B4","mappings":{"default":{"default":"crochet vertical supérieur"}},"category":"So"},{"key":"23B5","mappings":{"default":{"default":"crochet vertical inférieur"}},"category":"So"},{"category":"So","key":"23B6","mappings":{"default":{"default":"crochet verticaux en défilé"}}},{"category":"So","key":"23B7","mappings":{"default":{"default":"bas du radical"}}},{"category":"So","key":"23B8","mappings":{"default":{"default":"filet vertical gauche"}}},{"category":"So","key":"23B9","mappings":{"default":{"default":"filet vertical droit"}}},{"key":"23DC","mappings":{"default":{"default":"parenthèse supérieure"}},"category":"Sm"},{"key":"23DD","mappings":{"default":{"default":"parenthèse inférieure"}},"category":"Sm"},{"key":"23DE","mappings":{"default":{"default":"accolade supérieure"}},"category":"Sm"},{"key":"23DF","mappings":{"default":{"default":"accolade inférieure"}},"category":"Sm"},{"key":"23E0","mappings":{"default":{"default":"crochet en écaille supérieur"}},"category":"Sm"},{"key":"23E1","mappings":{"default":{"default":"crochet en écaille inférieur"}},"category":"Sm"},{"category":"Ps","key":"2768","mappings":{"default":{"default":"parenthèse de fantaisie gauche demi grasse"}}},{"category":"Pe","key":"2769","mappings":{"default":{"default":"parenthèse de fantaisie droite demi grasse"}}},{"category":"Ps","key":"276A","mappings":{"default":{"default":"parenthèse de fantaisie gauche demi grasse aplatie"}}},{"category":"Pe","key":"276B","mappings":{"default":{"default":"parenthèse de fantaisie droite demi grasse aplatie"}}},{"category":"Ps","key":"276C","mappings":{"default":{"default":"chevron de fantaisie vers la gauche demi gras"}}},{"category":"Pe","key":"276D","mappings":{"default":{"default":"chevron de fantaisie vers la droite demi gras"}}},{"category":"Ps","key":"276E","mappings":{"default":{"default":"guillemet de fantaisie vers la gauche gras"}}},{"category":"Pe","key":"276F","mappings":{"default":{"default":"guillemet de fantaisie vers la droite gras"}}},{"category":"Ps","key":"2770","mappings":{"default":{"default":"crochet de fantaisie vers la gauche gras"}}},{"category":"Pe","key":"2771","mappings":{"default":{"default":"crochet de fantaisie vers la droite gras"}}},{"category":"Ps","key":"2772","mappings":{"default":{"default":"crochet de fantaisie gauche maigre en écaille"}}},{"category":"Pe","key":"2773","mappings":{"default":{"default":"crochet de fantaisie droit maigre en écaille"}}},{"category":"Ps","key":"2774","mappings":{"default":{"default":"accolade de fantaisie gauche moyenne"}}},{"category":"Pe","key":"2775","mappings":{"default":{"default":"accolade de fantaisie droite moyenne"}}},{"key":"27C5","mappings":{"default":{"default":"délimiteur de sac en s gauche"}},"category":"Ps"},{"key":"27C6","mappings":{"default":{"default":"délimiteur de sac en s droite"}},"category":"Pe"},{"key":"27E6","mappings":{"default":{"default":"crochet blanc gauche"}},"category":"Ps"},{"key":"27E7","mappings":{"default":{"default":"crochet blanc droit"}},"category":"Pe"},{"key":"27E8","mappings":{"default":{"default":"chevron mathématique gauche"}},"category":"Ps"},{"key":"27E9","mappings":{"default":{"default":"chevron droit"}},"category":"Pe"},{"key":"27EA","mappings":{"default":{"default":"double chevron gauche"}},"category":"Ps"},{"key":"27EB","mappings":{"default":{"default":"double chevron droit"}},"category":"Pe"},{"key":"27EC","mappings":{"default":{"default":"crochet gauche en écaille blanche"}},"category":"Ps"},{"key":"27ED","mappings":{"default":{"default":"crochet droit en écaille blanche"}},"category":"Pe"},{"key":"27EE","mappings":{"default":{"default":"parenthèse gauche aplatie"}},"category":"Ps"},{"key":"27EF","mappings":{"default":{"default":"parenthèse droite aplatie"}},"category":"Pe"},{"category":"Ps","key":"2983","mappings":{"default":{"default":"accolade gauche ajourée"}}},{"category":"Pe","key":"2984","mappings":{"default":{"default":"accolade droite ajourée"}}},{"key":"2985","mappings":{"default":{"default":"parenthèse gauche ajourée"}},"category":"Ps"},{"key":"2986","mappings":{"default":{"default":"parenthèse droite ajourée"}},"category":"Pe"},{"category":"Ps","key":"2987","mappings":{"default":{"default":"parenthèse image de gauche en notation z"}}},{"category":"Pe","key":"2988","mappings":{"default":{"default":"parenthèse image de droite en notation z"}}},{"key":"2989","mappings":{"default":{"default":"z notation left binding bracket"}},"category":"Ps"},{"key":"298A","mappings":{"default":{"default":"z notation right binding bracket"}},"category":"Pe"},{"key":"298B","mappings":{"default":{"default":"crochet gauche avec barre souscrite"}},"category":"Ps"},{"key":"298C","mappings":{"default":{"default":"crochet droit avec barre souscrite"}},"category":"Pe"},{"key":"298D","mappings":{"default":{"default":"crochet gauche avec trait dans le coin supérieur"}},"category":"Ps"},{"key":"298E","mappings":{"default":{"default":"crochet droit avec trait dans le coin inférieur"}},"category":"Pe"},{"key":"298F","mappings":{"default":{"default":"crochet gauche avec trait dans le coin inférieur"}},"category":"Ps"},{"key":"2990","mappings":{"default":{"default":"crochet droit avec trait dans le coin supérieur"}},"category":"Pe"},{"key":"2991","mappings":{"default":{"default":"chevron gauche pointé"}},"category":"Ps"},{"key":"2992","mappings":{"default":{"default":"chevron droit pointé"}},"category":"Pe"},{"key":"2993","mappings":{"default":{"default":"parenthèse arc gauche et inférieur à"}},"category":"Ps"},{"key":"2994","mappings":{"default":{"default":"parenthèse arc droite et supérieur à"}},"category":"Pe"},{"key":"2995","mappings":{"default":{"default":"parenthèse double arc droite et supérieur à"}},"category":"Ps"},{"key":"2996","mappings":{"default":{"default":"parenthèse double arc gauche et inférieur à"}},"category":"Pe"},{"category":"Ps","key":"2997","mappings":{"default":{"default":"crochet noir gauche en écaille"}}},{"category":"Pe","key":"2998","mappings":{"default":{"default":"crochet noir droite en écaille"}}},{"category":"Ps","key":"29D8","mappings":{"default":{"default":"clôture dentelée gauche"}}},{"category":"Pe","key":"29D9","mappings":{"default":{"default":"clôture dentelée droite"}}},{"key":"29DA","mappings":{"default":{"default":"double clôture dentelée gauche"}},"category":"Ps"},{"key":"29DB","mappings":{"default":{"default":"right double wiggly fence"}},"category":"Pe"},{"category":"Ps","key":"29FC","mappings":{"default":{"default":"chevron vers la gauche courbé"}}},{"category":"Pe","key":"29FD","mappings":{"default":{"default":"chevron vers la droite courbé"}}},{"category":"Ps","key":"2E22","mappings":{"default":{"default":"anglet supérieur gauche"}}},{"category":"Pe","key":"2E23","mappings":{"default":{"default":"anglet supérieur droit"}}},{"category":"Ps","key":"2E24","mappings":{"default":{"default":"anglet inférieur gauche"}}},{"category":"Pe","key":"2E25","mappings":{"default":{"default":"anglet inférieur droit"}}},{"category":"Ps","key":"2E26","mappings":{"default":{"default":"crampillon couché gauche"}}},{"category":"Pe","key":"2E27","mappings":{"default":{"default":"crampillon couché droit"}}},{"category":"Ps","key":"2E28","mappings":{"default":{"default":"double parenthèse gauche"}}},{"category":"Pe","key":"2E29","mappings":{"default":{"default":"double parenthèse droite"}}},{"category":"Ps","key":"3008","mappings":{"default":{"default":"chevron gauche"}}},{"category":"Pe","key":"3009","mappings":{"default":{"default":"chevron droit"}}},{"key":"300A","mappings":{"default":{"default":"double chevron gauche"}},"category":"Ps"},{"key":"300B","mappings":{"default":{"default":"double chevron droit"}},"category":"Pe"},{"category":"Ps","key":"300C","mappings":{"default":{"default":"anglet gauche"}}},{"category":"Pe","key":"300D","mappings":{"default":{"default":"anglet droit"}}},{"category":"Ps","key":"300E","mappings":{"default":{"default":"anglet ajouré gauche"}}},{"category":"Pe","key":"300F","mappings":{"default":{"default":"anglet ajouré droit"}}},{"category":"Ps","key":"3010","mappings":{"default":{"default":"crochet noir lenticulaire gauche"}}},{"category":"Pe","key":"3011","mappings":{"default":{"default":"crochet noir lenticulaire droit"}}},{"key":"3014","mappings":{"default":{"default":"crochet gauche en écaille"}},"category":"Ps"},{"key":"3015","mappings":{"default":{"default":"crochet droit en écaille"}},"category":"Pe"},{"category":"Ps","key":"3016","mappings":{"default":{"default":"crochet blanc lenticulaire gauche"}}},{"category":"Pe","key":"3017","mappings":{"default":{"default":"crochet blanc lenticulaire droit"}}},{"category":"Ps","key":"3018","mappings":{"default":{"default":"crochet blanc gauche en écaille"}}},{"category":"Pe","key":"3019","mappings":{"default":{"default":"crochet blanc droit en écaille"}}},{"key":"301A","mappings":{"default":{"default":"crochet blanc gauche"}},"category":"Ps"},{"key":"301B","mappings":{"default":{"default":"crochet blanc droit"}},"category":"Pe"},{"category":"Ps","key":"301D","mappings":{"default":{"default":"guillemet double prime réfléchi"}}},{"key":"301E","mappings":{"default":{"default":"guillemet double prime"}},"category":"Pe"},{"category":"Pe","key":"301F","mappings":{"default":{"default":"guillemet double prime inférieur"}}},{"category":"Ps","key":"FD3E","mappings":{"default":{"default":"parenthèse gauche ornée"}}},{"category":"Pe","key":"FD3F","mappings":{"default":{"default":"parenthèse droite ornée"}}},{"category":"Ps","key":"FE17","mappings":{"default":{"default":"forme de présentation de crochet blanc lenticulaire gauche vertical"}}},{"category":"Pe","key":"FE18","mappings":{"default":{"default":"forme de présentation de crochet blanc lenticulaire droit vertical"}}},{"key":"FE35","mappings":{"default":{"default":"forme de présentation de parenthèse gauche verticale"}},"category":"Ps"},{"key":"FE36","mappings":{"default":{"default":"forme de présentation de parenthèse droite verticale"}},"category":"Pe"},{"key":"FE37","mappings":{"default":{"default":"forme de présentation d'accolade gauche verticale"}},"category":"Ps"},{"key":"FE38","mappings":{"default":{"default":"forme de présentation d'accolade droite verticale"}},"category":"Pe"},{"category":"Ps","key":"FE39","mappings":{"default":{"default":"forme de présentation de crochet gauche vertical en écaille"}}},{"category":"Pe","key":"FE3A","mappings":{"default":{"default":"forme de présentation de crochet droit vertical en écaille"}}},{"category":"Ps","key":"FE3B","mappings":{"default":{"default":"forme de présentation de crochet gauche lenticulaire noir vertical"}}},{"category":"Pe","key":"FE3C","mappings":{"default":{"default":"forme de présentation de crochet droit lenticulaire noir vertical"}}},{"category":"Ps","key":"FE3D","mappings":{"default":{"default":"forme de présentation de crochet double gauche vertical"}}},{"category":"Pe","key":"FE3E","mappings":{"default":{"default":"forme de présentation de crochet double droit vertical"}}},{"key":"FE3F","mappings":{"default":{"default":"over angle bracket"}},"category":"Ps"},{"key":"FE40","mappings":{"default":{"default":"under angle bracket"}},"category":"Pe"},{"category":"Ps","key":"FE41","mappings":{"default":{"default":"forme de présentation de crochet vertical gauche en coin"}}},{"category":"Pe","key":"FE42","mappings":{"default":{"default":"forme de présentation de crochet vertical droit en coin"}}},{"category":"Ps","key":"FE43","mappings":{"default":{"default":"forme de présentation de crochet blanc vertical gauche en coin"}}},{"category":"Pe","key":"FE44","mappings":{"default":{"default":"forme de présentation de crochet blanc vertical droit en coin"}}},{"category":"Ps","key":"FE47","mappings":{"default":{"default":"forme de présentation de crochet gauche vertical"}}},{"category":"Pe","key":"FE48","mappings":{"default":{"default":"forme de présentation de crochet droit vertical"}}},{"category":"Ps","key":"FE59","mappings":{"default":{"default":"parenthèse gauche minuscule"}}},{"category":"Pe","key":"FE5A","mappings":{"default":{"default":"parenthèse droite minuscule"}}},{"category":"Ps","key":"FE5B","mappings":{"default":{"default":"accolade gauche minuscule"}}},{"category":"Pe","key":"FE5C","mappings":{"default":{"default":"accolade droite minuscule"}}},{"category":"Ps","key":"FE5D","mappings":{"default":{"default":"crochet gauche en écaille minuscule"}}},{"category":"Pe","key":"FE5E","mappings":{"default":{"default":"crochet droit en écaille minuscule"}}},{"category":"Ps","key":"FF08","mappings":{"default":{"default":"parenthèse gauche pleine chasse"}}},{"category":"Pe","key":"FF09","mappings":{"default":{"default":"parenthèse droite pleine chasse"}}},{"category":"Ps","key":"FF3B","mappings":{"default":{"default":"crochet gauche pleine chasse"}}},{"category":"Pe","key":"FF3D","mappings":{"default":{"default":"crochet droit pleine chasse"}}},{"category":"Ps","key":"FF5B","mappings":{"default":{"default":"accolade gauche pleine chasse"}}},{"category":"Pe","key":"FF5D","mappings":{"default":{"default":"accolade droite pleine chasse"}}},{"category":"Ps","key":"FF5F","mappings":{"default":{"default":"parenthèse gauche ajourée pleine chasse *"}}},{"category":"Pe","key":"FF60","mappings":{"default":{"default":"parenthèse droite ajourée pleine chasse *"}}},{"category":"Ps","key":"FF62","mappings":{"default":{"default":"crochet gauche en coin demi chasse"}}},{"category":"Pe","key":"FF63","mappings":{"default":{"default":"crochet droit en coin demi chasse"}}}]
+,
+"fr/symbols/math_geometry.js": 
+[{"locale":"fr"},{"key":"2500","mappings":{"default":{"default":"filet horizontal fin"}},"category":"So"},{"category":"So","key":"2501","mappings":{"default":{"default":"filet horizontal gras"}}},{"key":"2502","mappings":{"default":{"default":"filet vertical fin"}},"category":"So"},{"category":"So","key":"2503","mappings":{"default":{"default":"filet vertical gras"}}},{"category":"So","key":"2504","mappings":{"default":{"default":"filet brisé triple horizontal fin"}}},{"category":"So","key":"2505","mappings":{"default":{"default":"filet brisé triple horizontal gras"}}},{"category":"So","key":"2506","mappings":{"default":{"default":"filet brisé triple vertical fin"}}},{"category":"So","key":"2507","mappings":{"default":{"default":"filet brisé triple vertical gras"}}},{"category":"So","key":"2508","mappings":{"default":{"default":"filet brisé quadruple horizontal fin"}}},{"category":"So","key":"2509","mappings":{"default":{"default":"filet brisé quadruple horizontal gras"}}},{"category":"So","key":"250A","mappings":{"default":{"default":"filet brisé quadruple vertical fin"}}},{"category":"So","key":"250B","mappings":{"default":{"default":"filet brisé quadruple vertical gras"}}},{"key":"250C","mappings":{"default":{"default":"filet fin vers le bas et vers la droite"}},"category":"So"},{"category":"So","key":"250D","mappings":{"default":{"default":"filet fin vers le bas et gras vers la droite"}}},{"category":"So","key":"250E","mappings":{"default":{"default":"filet gras vers le bas et fin vers la droite"}}},{"category":"So","key":"250F","mappings":{"default":{"default":"filet gras vers le bas et vers la droite"}}},{"key":"2510","mappings":{"default":{"default":"filet fin vers le bas et vers la gauche"}},"category":"So"},{"category":"So","key":"2511","mappings":{"default":{"default":"filet fin vers le bas et gras vers la gauche"}}},{"category":"So","key":"2512","mappings":{"default":{"default":"filet gras vers le bas et fin vers la gauche"}}},{"category":"So","key":"2513","mappings":{"default":{"default":"filet gras vers le bas et vers la gauche"}}},{"key":"2514","mappings":{"default":{"default":"filet fin vers le haut et vers la droite"}},"category":"So"},{"category":"So","key":"2515","mappings":{"default":{"default":"filet fin vers le haut et gras vers la droite"}}},{"category":"So","key":"2516","mappings":{"default":{"default":"filet gras vers le haut et fin vers la droite"}}},{"category":"So","key":"2517","mappings":{"default":{"default":"filet gras vers le haut et vers la droite"}}},{"key":"2518","mappings":{"default":{"default":"filet fin vers le haut et vers la gauche"}},"category":"So"},{"category":"So","key":"2519","mappings":{"default":{"default":"filet fin vers le haut et gras vers la gauche"}}},{"category":"So","key":"251A","mappings":{"default":{"default":"filet gras vers le haut et fin vers la gauche"}}},{"category":"So","key":"251B","mappings":{"default":{"default":"filet gras vers le haut et vers la gauche"}}},{"key":"251C","mappings":{"default":{"default":"filet fin vertical et vers la droite"}},"category":"So"},{"category":"So","key":"251D","mappings":{"default":{"default":"filet fin vertical et gras vers la droite"}}},{"category":"So","key":"251E","mappings":{"default":{"default":"filet gras vers le haut et fin vers la droite et vers le bas"}}},{"category":"So","key":"251F","mappings":{"default":{"default":"filet gras vers le bas et fin vers la droite et vers le haut"}}},{"category":"So","key":"2520","mappings":{"default":{"default":"filet gras vertical et fin vers la droite"}}},{"category":"So","key":"2521","mappings":{"default":{"default":"filet fin vers le bas et gras vers la droite et vers le haut"}}},{"category":"So","key":"2522","mappings":{"default":{"default":"filet fin vers le haut et gras vers la droite et vers le bas"}}},{"category":"So","key":"2523","mappings":{"default":{"default":"filet gras vertical et vers la droite"}}},{"key":"2524","mappings":{"default":{"default":"filet fin vertical et vers la gauche"}},"category":"So"},{"category":"So","key":"2525","mappings":{"default":{"default":"filet fin vertical et gras vers la gauche"}}},{"category":"So","key":"2526","mappings":{"default":{"default":"filet gras vers le haut et fin vers la gauche et vers le bas"}}},{"category":"So","key":"2527","mappings":{"default":{"default":"filet gras vers le bas et fin vers la gauche et vers le haut"}}},{"category":"So","key":"2528","mappings":{"default":{"default":"filet gras vertical et fin vers la gauche"}}},{"category":"So","key":"2529","mappings":{"default":{"default":"filet fin vers le bas et gras vers la gauche et vers le haut"}}},{"category":"So","key":"252A","mappings":{"default":{"default":"filet fin vers le haut et gras vers la gauche et vers le bas"}}},{"category":"So","key":"252B","mappings":{"default":{"default":"filet gras vertical et vers la gauche"}}},{"key":"252C","mappings":{"default":{"default":"filet fin vers le bas et horizontal"}},"category":"So"},{"category":"So","key":"252D","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite et vers le bas"}}},{"category":"So","key":"252E","mappings":{"default":{"default":"filet gras vers la droite et fin vers la gauche et vers le bas"}}},{"category":"So","key":"252F","mappings":{"default":{"default":"filet fin vers le bas et gras horizontal"}}},{"category":"So","key":"2530","mappings":{"default":{"default":"filet gras vers le bas et fin horizontal"}}},{"category":"So","key":"2531","mappings":{"default":{"default":"filet fin vers la droite et gras vers la gauche et vers le bas"}}},{"category":"So","key":"2532","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite et vers le bas"}}},{"category":"So","key":"2533","mappings":{"default":{"default":"filet gras vers le bas et horizontal"}}},{"key":"2534","mappings":{"default":{"default":"filet fin vers le haut et horizontal"}},"category":"So"},{"category":"So","key":"2535","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite et vers le haut"}}},{"category":"So","key":"2536","mappings":{"default":{"default":"filet gras vers la droite et fin vers la gauche et vers le haut"}}},{"category":"So","key":"2537","mappings":{"default":{"default":"filet fin vers le haut et gras horizontal"}}},{"category":"So","key":"2538","mappings":{"default":{"default":"filet gras vers le haut et fin horizontal"}}},{"category":"So","key":"2539","mappings":{"default":{"default":"filet fin vers la droite et gras vers la gauche et vers le haut"}}},{"category":"So","key":"253A","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite et vers le haut"}}},{"category":"So","key":"253B","mappings":{"default":{"default":"filet gras vers le haut et horizontal"}}},{"key":"253C","mappings":{"default":{"default":"filet fin vertical et horizontal"}},"category":"So"},{"category":"So","key":"253D","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite et vertical"}}},{"category":"So","key":"253E","mappings":{"default":{"default":"filet gras vers la droite et fin vers la gauche et vertical"}}},{"category":"So","key":"253F","mappings":{"default":{"default":"filet vertical fin et horizontal gras"}}},{"category":"So","key":"2540","mappings":{"default":{"default":"filet gras vers le haut et fin vers le bas et horizontal"}}},{"category":"So","key":"2541","mappings":{"default":{"default":"filet gras vers le bas et fin vers le haut et horizontal"}}},{"category":"So","key":"2542","mappings":{"default":{"default":"filet vertical gras et horizontal fin"}}},{"category":"So","key":"2543","mappings":{"default":{"default":"filet gras vers la gauche et vers le haut et fin vers la droite et vers le bas"}}},{"category":"So","key":"2544","mappings":{"default":{"default":"filet gras vers la droite et vers le haut et fin vers la gauche et vers le bas"}}},{"category":"So","key":"2545","mappings":{"default":{"default":"filet gras vers la gauche et vers le bas et fin vers la droite et vers le haut"}}},{"category":"So","key":"2546","mappings":{"default":{"default":"filet gras vers la droite et vers le bas et fin vers la gauche et vers le haut"}}},{"category":"So","key":"2547","mappings":{"default":{"default":"filet fin vers le bas et gras vers le haut et horizontal"}}},{"category":"So","key":"2548","mappings":{"default":{"default":"filet fin vers le haut et gras vers le bas et horizontal"}}},{"category":"So","key":"2549","mappings":{"default":{"default":"filet fin vers la droite et gras vers la gauche et vertical"}}},{"category":"So","key":"254A","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite et vertical"}}},{"category":"So","key":"254B","mappings":{"default":{"default":"filet vertical et horizontal gras"}}},{"category":"So","key":"254C","mappings":{"default":{"default":"filet brisé double horizontal fin"}}},{"category":"So","key":"254D","mappings":{"default":{"default":"filet brisé double horizontal gras"}}},{"category":"So","key":"254E","mappings":{"default":{"default":"filet brisé double vertical fin"}}},{"category":"So","key":"254F","mappings":{"default":{"default":"filet brisé double vertical gras"}}},{"key":"2550","mappings":{"default":{"default":"filet double horizontal"}},"category":"So"},{"key":"2551","mappings":{"default":{"default":"filet double vertical"}},"category":"So"},{"key":"2552","mappings":{"default":{"default":"filet simple le bas et double vers la droite"}},"category":"So"},{"key":"2553","mappings":{"default":{"default":"filet double vers le bas et simple vers la droite"}},"category":"So"},{"key":"2554","mappings":{"default":{"default":"filet double vers le bas et vers la droite"}},"category":"So"},{"key":"2555","mappings":{"default":{"default":"filet simple vers le bas et double vers la gauche"}},"category":"So"},{"key":"2556","mappings":{"default":{"default":"filet double vers le bas et simple vers la gauche"}},"category":"So"},{"key":"2557","mappings":{"default":{"default":"filet double vers le bas et vers la gauche"}},"category":"So"},{"key":"2558","mappings":{"default":{"default":"filet simple vers le haut et double vers la droite"}},"category":"So"},{"key":"2559","mappings":{"default":{"default":"filet double vers le haut et simple vers la droite"}},"category":"So"},{"key":"255A","mappings":{"default":{"default":"filet double vers le haut et vers la droite"}},"category":"So"},{"key":"255B","mappings":{"default":{"default":"filet simple vers le haut et double vers la gauche"}},"category":"So"},{"key":"255C","mappings":{"default":{"default":"filet double vers le haut et simple vers la gauche"}},"category":"So"},{"key":"255D","mappings":{"default":{"default":"filet double vers le haut et vers la gauche"}},"category":"So"},{"key":"255E","mappings":{"default":{"default":"filet vertical simple et droit double"}},"category":"So"},{"key":"255F","mappings":{"default":{"default":"filet vertical double et droit simple"}},"category":"So"},{"key":"2560","mappings":{"default":{"default":"filet double vertical et vers la droite"}},"category":"So"},{"key":"2561","mappings":{"default":{"default":"filet vertical simple et gauche double"}},"category":"So"},{"key":"2562","mappings":{"default":{"default":"filet vertical double et gauche simple"}},"category":"So"},{"key":"2563","mappings":{"default":{"default":"filet double vertical et vers la gauche"}},"category":"So"},{"key":"2564","mappings":{"default":{"default":"filet vers le bas simple et horizontal double"}},"category":"So"},{"key":"2565","mappings":{"default":{"default":"filet vers le bas double et horizontal simple"}},"category":"So"},{"key":"2566","mappings":{"default":{"default":"filet double vers le bas et horizontal"}},"category":"So"},{"key":"2567","mappings":{"default":{"default":"filet vers le haut simple et horizontal double"}},"category":"So"},{"key":"2568","mappings":{"default":{"default":"filet vers le haut double et horizontal simple"}},"category":"So"},{"key":"2569","mappings":{"default":{"default":"filet double vers le haut et horizontal"}},"category":"So"},{"key":"256A","mappings":{"default":{"default":"filet vertical simple et horizontal double"}},"category":"So"},{"key":"256B","mappings":{"default":{"default":"filet vertical double et horizontal simple"}},"category":"So"},{"key":"256C","mappings":{"default":{"default":"filet double vertical et horizontall"}},"category":"So"},{"category":"So","key":"256D","mappings":{"default":{"default":"filet fin arc vers le bas et vers la droite"}}},{"category":"So","key":"256E","mappings":{"default":{"default":"filet fin arc vers le bas et vers la gauche"}}},{"category":"So","key":"256F","mappings":{"default":{"default":"filet fin arc vers le haut et vers la gauche"}}},{"category":"So","key":"2570","mappings":{"default":{"default":"filet fin arc vers le haut et vers la droite"}}},{"category":"So","key":"2571","mappings":{"default":{"default":"filet diagonal fin du coin supérieur droit au coin inférieur gauche"}}},{"category":"So","key":"2572","mappings":{"default":{"default":"filet diagonal fin du coin supérieur gauche vers le coin inférieur droit"}}},{"category":"So","key":"2573","mappings":{"default":{"default":"filet diagonal fin en croix"}}},{"category":"So","key":"2574","mappings":{"default":{"default":"filet fin vers la gauche"}}},{"category":"So","key":"2575","mappings":{"default":{"default":"filet fin vers le haut"}}},{"category":"So","key":"2576","mappings":{"default":{"default":"filet fin vers la droite"}}},{"category":"So","key":"2577","mappings":{"default":{"default":"filet fin vers le bas"}}},{"category":"So","key":"2578","mappings":{"default":{"default":"filet gras vers la gauche"}}},{"category":"So","key":"2579","mappings":{"default":{"default":"filet gras vers le haut"}}},{"category":"So","key":"257A","mappings":{"default":{"default":"filet gras vers la droite"}}},{"category":"So","key":"257B","mappings":{"default":{"default":"filet gras vers le bas"}}},{"category":"So","key":"257C","mappings":{"default":{"default":"filet fin vers la gauche et gras vers la droite"}}},{"category":"So","key":"257D","mappings":{"default":{"default":"filet fin vers le haut et gras vers le bas"}}},{"category":"So","key":"257E","mappings":{"default":{"default":"filet gras vers la gauche et fin vers la droite"}}},{"category":"So","key":"257F","mappings":{"default":{"default":"filet gras vers le haut et fin vers le bas"}}},{"key":"2580","mappings":{"default":{"default":"moitié supérieure de pavé"}},"category":"So"},{"category":"So","key":"2581","mappings":{"default":{"default":"huitième inférieur de pavé"}}},{"category":"So","key":"2582","mappings":{"default":{"default":"quart inférieur de pavé"}}},{"category":"So","key":"2583","mappings":{"default":{"default":"trois huitièmes inférieurs de pavé"}}},{"key":"2584","mappings":{"default":{"default":"moitié inférieure de pavé"}},"category":"So"},{"category":"So","key":"2585","mappings":{"default":{"default":"cinq huitièmes inférieurs de pavé"}}},{"category":"So","key":"2586","mappings":{"default":{"default":"trois quarts inférieurs de pavé"}}},{"category":"So","key":"2587","mappings":{"default":{"default":"sept huitièmes inférieurs de pavé"}}},{"key":"2588","mappings":{"default":{"default":"pavé plein"}},"category":"So"},{"category":"So","key":"2589","mappings":{"default":{"default":"sept huitièmes gauches de pavé"}}},{"category":"So","key":"258A","mappings":{"default":{"default":"trois quarts gauches de pavé"}}},{"category":"So","key":"258B","mappings":{"default":{"default":"cinq huitièmes gauches de pavé"}}},{"category":"So","key":"258C","mappings":{"default":{"default":"moitié gauche de pavé"}}},{"category":"So","key":"258D","mappings":{"default":{"default":"trois huitièmes gauches de pavé"}}},{"category":"So","key":"258E","mappings":{"default":{"default":"un quart gauche de pavé"}}},{"category":"So","key":"258F","mappings":{"default":{"default":"un huitième gauche de pavé"}}},{"category":"So","key":"2590","mappings":{"default":{"default":"moitié droite de pavé"}}},{"key":"2591","mappings":{"default":{"default":"ombre légère"}},"category":"So"},{"key":"2592","mappings":{"default":{"default":"ombre moyenne"}},"category":"So"},{"key":"2593","mappings":{"default":{"default":"ombre foncée"}},"category":"So"},{"category":"So","key":"2594","mappings":{"default":{"default":"huitième supérieur de pavé"}}},{"category":"So","key":"2595","mappings":{"default":{"default":"huitième droit de pavé"}}},{"category":"So","key":"2596","mappings":{"default":{"default":"quadrant inférieur gauche"}}},{"category":"So","key":"2597","mappings":{"default":{"default":"quadrant inférieur droit"}}},{"category":"So","key":"2598","mappings":{"default":{"default":"quadrant supérieur gauche"}}},{"category":"So","key":"2599","mappings":{"default":{"default":"quadrant supérieur gauche inférieur gauche et inférieur droit"}}},{"category":"So","key":"259A","mappings":{"default":{"default":"quadrant supérieur gauche et inférieur droit"}}},{"category":"So","key":"259B","mappings":{"default":{"default":"quadrant supérieur gauche supérieur droit et inférieur gauche"}}},{"category":"So","key":"259C","mappings":{"default":{"default":"quadrant supérieur gauche supérieur droit et inférieur droit"}}},{"category":"So","key":"259D","mappings":{"default":{"default":"quadrant supérieur droit"}}},{"category":"So","key":"259E","mappings":{"default":{"default":"quadrant supérieur droit et inférieur gauche"}}},{"category":"So","key":"259F","mappings":{"default":{"default":"quadrant supérieur droit inférieur gauche et inférieur droit"}}},{"key":"25A0","mappings":{"default":{"default":"petit carré noir"}},"category":"So"},{"key":"25A1","mappings":{"default":{"default":"carré blanc"}},"category":"So"},{"category":"So","key":"25A2","mappings":{"default":{"default":"carré blanc aux coins arrondis"}}},{"category":"So","key":"25A3","mappings":{"default":{"default":"petit carré noir inscrit dans un carré blanc"}}},{"category":"So","key":"25A4","mappings":{"default":{"default":"carré hachuré horizontalement"}}},{"category":"So","key":"25A5","mappings":{"default":{"default":"carré hachuré verticalement"}}},{"category":"So","key":"25A6","mappings":{"default":{"default":"carré quadrillé"}}},{"category":"So","key":"25A7","mappings":{"default":{"default":"carré hachuré du haut à gauche vers le bas à droite"}}},{"category":"So","key":"25A8","mappings":{"default":{"default":"carré hachuré du haut à droite vers le bas à gauche"}}},{"category":"So","key":"25A9","mappings":{"default":{"default":"carré quadrillé en diagonale"}}},{"key":"25AA","mappings":{"default":{"default":"petit carré noir"}},"category":"So"},{"key":"25AB","mappings":{"default":{"default":"petit carré blanc"}},"category":"So"},{"category":"So","key":"25AC","mappings":{"default":{"default":"rectangle noir"}}},{"key":"25AD","mappings":{"default":{"default":"rectangle blanc"}},"category":"So"},{"key":"25AE","mappings":{"default":{"default":"rectangle vertical noir"}},"category":"So"},{"key":"25AF","mappings":{"default":{"default":"white vertical rectangle"}},"category":"So"},{"category":"So","key":"25B0","mappings":{"default":{"default":"parallélogramme noir"}}},{"key":"25B1","mappings":{"default":{"default":"parallélogramme blanc"}},"category":"So"},{"key":"25B2","mappings":{"default":{"default":"petit triangle noir pointant vers le haut"}},"category":"So"},{"key":"25B3","mappings":{"default":{"default":"triangle blanc pointant vers le haut"}},"category":"So"},{"key":"25B4","mappings":{"default":{"default":"petit triangle noir pointant vers le haut"}},"category":"So"},{"key":"25B5","mappings":{"default":{"default":"petit triangle blanc pointant vers le haut"}},"category":"So"},{"key":"25B6","mappings":{"default":{"default":"petit triangle noir pointant vers la droite"}},"category":"So"},{"key":"25B7","mappings":{"default":{"default":"triangle blanc pointant vers la droite"}},"category":"Sm"},{"key":"25B8","mappings":{"default":{"default":"petit triangle noir pointant vers la droite"}},"category":"So"},{"key":"25B9","mappings":{"default":{"default":"petit triangle blanc pointant vers la droite"}},"category":"So"},{"category":"So","key":"25BA","mappings":{"default":{"default":"pointeur noir vers la droite"}}},{"category":"So","key":"25BB","mappings":{"default":{"default":"pointeur blanc vers la droite"}}},{"key":"25BC","mappings":{"default":{"default":"petit triangle noir pointant vers le bas"}},"category":"So"},{"key":"25BD","mappings":{"default":{"default":"triangle blanc pointant vers le bas"}},"category":"So"},{"key":"25BE","mappings":{"default":{"default":"petit triangle noir pointant vers le bas"}},"category":"So"},{"key":"25BF","mappings":{"default":{"default":"petit triangle blanc pointant vers le bas"}},"category":"So"},{"key":"25C0","mappings":{"default":{"default":"petit triangle noir pointant vers la gauche"}},"category":"So"},{"key":"25C1","mappings":{"default":{"default":"petit triangle blanc pointant vers la gauche"}},"category":"Sm"},{"key":"25C2","mappings":{"default":{"default":"petit triangle noir pointant vers la gauche"}},"category":"So"},{"key":"25C3","mappings":{"default":{"default":"petit triangle blanc pointant vers la gauche"}},"category":"So"},{"key":"25C4","mappings":{"default":{"default":"pointeur noir vers la gauche"}},"category":"So"},{"key":"25C5","mappings":{"default":{"default":"pointeur blanc vers la gauche"}},"category":"So"},{"key":"25C6","mappings":{"default":{"default":"losange noir"}},"category":"So"},{"key":"25C7","mappings":{"default":{"default":"losange blanc"}},"category":"So"},{"key":"25C8","mappings":{"default":{"default":"losange blanc évidé"}},"category":"So"},{"key":"25C9","mappings":{"default":{"default":"cercle blanc évidé"}},"category":"So"},{"key":"25CA","mappings":{"default":{"default":"losange"}},"category":"So"},{"key":"25CB","mappings":{"default":{"default":"cercle blanc"}},"category":"So"},{"key":"25CC","mappings":{"default":{"default":"cercle en pointillés"}},"category":"So"},{"key":"25CD","mappings":{"default":{"default":"cercle hachuré verticalement"}},"category":"So"},{"key":"25CE","mappings":{"default":{"default":"deux cercles concentriques"}},"category":"So"},{"key":"25CF","mappings":{"default":{"default":"cercle noir"}},"category":"So"},{"key":"25D0","mappings":{"default":{"default":"cercle avec moitié gauche noire"}},"category":"So"},{"key":"25D1","mappings":{"default":{"default":"cercle avec moitié droite noire"}},"category":"So"},{"key":"25D2","mappings":{"default":{"default":"cercle avec moitié inférieure"}},"category":"So"},{"key":"25D3","mappings":{"default":{"default":"cercle avec moitié supérieure"}},"category":"So"},{"key":"25D4","mappings":{"default":{"default":"cercle avec quadrant supérieur droit noir"}},"category":"So"},{"key":"25D5","mappings":{"default":{"default":"disque avec quadrant supérieur gauche blanc"}},"category":"So"},{"key":"25D6","mappings":{"default":{"default":"demi disque gauche noir"}},"category":"So"},{"key":"25D7","mappings":{"default":{"default":"demi disque droite noir"}},"category":"So"},{"key":"25D8","mappings":{"default":{"default":"point noir au blanc"}},"category":"So"},{"key":"25D9","mappings":{"default":{"default":"cercle noir au blanc"}},"category":"So"},{"key":"25DA","mappings":{"default":{"default":"demi cercle supérieur noir au  blanc"}},"category":"So"},{"key":"25DB","mappings":{"default":{"default":"demi cercle inférieur noir au  blanc"}},"category":"So"},{"key":"25DC","mappings":{"default":{"default":"arc de cercle dans le quadrant supérieur gauchearc de cercle dans le quadrant supérieur gauche"}},"category":"So"},{"key":"25DD","mappings":{"default":{"default":"arc de cercle dans le quadrant supérieur droit"}},"category":"So"},{"key":"25DE","mappings":{"default":{"default":"arc de cercle dans le quadrant inférieur droit"}},"category":"So"},{"key":"25DF","mappings":{"default":{"default":"arc de cercle dans le quadrant inférieur gauche"}},"category":"So"},{"key":"25E0","mappings":{"default":{"default":"demi cercle supérieur"}},"category":"So"},{"key":"25E1","mappings":{"default":{"default":"demi cercle inférieur"}},"category":"So"},{"key":"25E2","mappings":{"default":{"default":"coin triangulaire noir inférieur droit"}},"category":"So"},{"key":"25E3","mappings":{"default":{"default":"coin triangulaire noir inférieur gauche"}},"category":"So"},{"key":"25E4","mappings":{"default":{"default":"coin triangulaire noir supérieur gauche"}},"category":"So"},{"key":"25E5","mappings":{"default":{"default":"coin triangulaire noir supérieur droit"}},"category":"So"},{"key":"25E6","mappings":{"default":{"default":"opérateur rond"}},"category":"So"},{"key":"25E7","mappings":{"default":{"default":"carré à moitié gauche noire"}},"category":"So"},{"key":"25E8","mappings":{"default":{"default":"carré à moitié droite noire"}},"category":"So"},{"key":"25E9","mappings":{"default":{"default":"carré à moitié supérieure gauche noire"}},"category":"So"},{"key":"25EA","mappings":{"default":{"default":"carré à moitié inférieure droite noire"}},"category":"So"},{"key":"25EB","mappings":{"default":{"default":"carré blanc à ligne bissectrice verticale"}},"category":"So"},{"key":"25EC","mappings":{"default":{"default":"triangle blanc pointant vers le haut pointé"}},"category":"So"},{"key":"25ED","mappings":{"default":{"default":"triangle pointe vers le haut À moitié gauche noire"}},"category":"So"},{"key":"25EE","mappings":{"default":{"default":"triangle pointe vers le haut À moitié droite noire"}},"category":"So"},{"key":"25EF","mappings":{"default":{"default":"grand cercle"}},"category":"So"},{"category":"So","key":"25F0","mappings":{"default":{"default":"carré blanc à quartier supérieur gauche"}}},{"category":"So","key":"25F1","mappings":{"default":{"default":"carré blanc à quartier inférieur gauche"}}},{"category":"So","key":"25F2","mappings":{"default":{"default":"carré blanc à quartier inférieur droit"}}},{"category":"So","key":"25F3","mappings":{"default":{"default":"carré blanc à quartier supérieur droit"}}},{"category":"So","key":"25F4","mappings":{"default":{"default":"cercle blanc à quartier supérieur gauche"}}},{"category":"So","key":"25F5","mappings":{"default":{"default":"cercle blanc à quartier inférieur gauche"}}},{"category":"So","key":"25F6","mappings":{"default":{"default":"cercle blanc à quartier inférieur droit"}}},{"category":"So","key":"25F7","mappings":{"default":{"default":"cercle blanc à quartier supérieur droit"}}},{"key":"25F8","mappings":{"default":{"default":"triangle rectangle supérieur gauche"}},"category":"Sm"},{"key":"25F9","mappings":{"default":{"default":"triangle rectangle supérieur droit"}},"category":"Sm"},{"key":"25FA","mappings":{"default":{"default":"triangle rectangle inférieur gauche"}},"category":"Sm"},{"key":"25FB","mappings":{"default":{"default":"carré moyen blanc"}},"category":"Sm"},{"key":"25FC","mappings":{"default":{"default":"carré moyen noir"}},"category":"Sm"},{"key":"25FD","mappings":{"default":{"default":"carré moyen blanc"}},"category":"Sm"},{"key":"25FE","mappings":{"default":{"default":"carré moyen noir"}},"category":"Sm"},{"key":"25FF","mappings":{"default":{"default":"triangle rectangle inférieur droit"}},"category":"Sm"},{"category":"So","key":"2B12","mappings":{"default":{"default":"carré à moitié supérieure noire"}}},{"category":"So","key":"2B13","mappings":{"default":{"default":"carré à moitié inférieure noire"}}},{"category":"So","key":"2B14","mappings":{"default":{"default":"carré à moitié diagonale supérieure droite noire"}}},{"category":"So","key":"2B15","mappings":{"default":{"default":"carré à moitié diagonale inférieure droite noire"}}},{"category":"So","key":"2B16","mappings":{"default":{"default":"losange à moitié gauche noire"}}},{"category":"So","key":"2B17","mappings":{"default":{"default":"losange à moitié droite noire"}}},{"category":"So","key":"2B18","mappings":{"default":{"default":"losange à moitié supérieure noire"}}},{"category":"So","key":"2B19","mappings":{"default":{"default":"losange à moitié inférieure noire"}}},{"category":"So","key":"2B1A","mappings":{"default":{"default":"carré en pointillés"}}},{"category":"So","key":"2B1B","mappings":{"default":{"default":"grand carré noir"}}},{"category":"So","key":"2B1C","mappings":{"default":{"default":"grand carré blanc"}}},{"category":"So","key":"2B1D","mappings":{"default":{"default":"très petit carré noir"}}},{"category":"So","key":"2B1E","mappings":{"default":{"default":"très petit carré blanc"}}},{"category":"So","key":"2B1F","mappings":{"default":{"default":"pentagone noir"}}},{"category":"So","key":"2B20","mappings":{"default":{"default":"pentagone blanc"}}},{"category":"So","key":"2B21","mappings":{"default":{"default":"hexagone blanc"}}},{"category":"So","key":"2B22","mappings":{"default":{"default":"hexagone noir"}}},{"category":"So","key":"2B23","mappings":{"default":{"default":"hexagone noir posé sur un côté"}}},{"category":"So","key":"2B24","mappings":{"default":{"default":"grand cercle noir"}}},{"category":"So","key":"2B25","mappings":{"default":{"default":"losange moyen noir"}}},{"category":"So","key":"2B26","mappings":{"default":{"default":"losange moyen blanc"}}},{"category":"So","key":"2B27","mappings":{"default":{"default":"rhombe moyen noir"}}},{"category":"So","key":"2B28","mappings":{"default":{"default":"rhombe moyen blanc"}}},{"category":"So","key":"2B29","mappings":{"default":{"default":"petit losange noir"}}},{"category":"So","key":"2B2A","mappings":{"default":{"default":"petit rhombe noir"}}},{"category":"So","key":"2B2B","mappings":{"default":{"default":"petit rhombe blanc"}}},{"category":"So","key":"2B2C","mappings":{"default":{"default":"ellipse horizontale noire"}}},{"category":"So","key":"2B2D","mappings":{"default":{"default":"ellipse horizontale blanche"}}},{"category":"So","key":"2B2E","mappings":{"default":{"default":"ellipse verticale noire"}}},{"category":"So","key":"2B2F","mappings":{"default":{"default":"ellipse verticale blanche"}}},{"key":"2B50","mappings":{"default":{"default":"étoile blanche moyenne"}},"category":"So"},{"key":"2B51","mappings":{"default":{"default":"petite étoile noire"}},"category":"So"},{"key":"2B52","mappings":{"default":{"default":"petite étoile blanche"}},"category":"So"},{"category":"So","key":"2B53","mappings":{"default":{"default":"pentagone noir pointant vers la droite"}}},{"category":"So","key":"2B54","mappings":{"default":{"default":"pentagone blanc pointant vers la droite"}}},{"category":"So","key":"2B55","mappings":{"default":{"default":"grand cercle gras"}}},{"category":"So","key":"2B56","mappings":{"default":{"default":"ovale gras avec ovale inscrit"}}},{"category":"So","key":"2B57","mappings":{"default":{"default":"cercle gras avec cercle inscrit"}}},{"category":"So","key":"2B58","mappings":{"default":{"default":"cercle gras"}}},{"category":"So","key":"2B59","mappings":{"default":{"default":"sautoir cerclé gras"}}}]
+,
+"fr/symbols/math_harpoons.js": 
+[{"locale":"fr"},{"key":"21BC","mappings":{"default":{"default":"harpon gauche avec dent dressée"}},"category":"So"},{"key":"21BD","mappings":{"default":{"default":"harpon gauche avec dent baissée"}},"category":"So"},{"key":"21BE","mappings":{"default":{"default":"harpon vers le haut avec dent droite"}},"category":"So"},{"key":"21BF","mappings":{"default":{"default":"harpon vers le haut avec dent gauche"}},"category":"So"},{"key":"21C0","mappings":{"default":{"default":"harpon droit avec dent dressée"}},"category":"So"},{"key":"21C1","mappings":{"default":{"default":"harpon droit avec dent baissée"}},"category":"So"},{"key":"21C2","mappings":{"default":{"default":"harpon vers le bas avec dent droite"}},"category":"So"},{"key":"21C3","mappings":{"default":{"default":"harpon vers le bas avec dent gauche"}},"category":"So"},{"key":"21CB","mappings":{"default":{"default":"harpon gauche par dessus harpon droit"}},"category":"So"},{"key":"21CC","mappings":{"default":{"default":"harpon droit par dessus harpon gauche"}},"category":"So"},{"key":"294A","mappings":{"default":{"default":"javelot à dents gauche dressée et droite baissée"}},"category":"Sm"},{"key":"294B","mappings":{"default":{"default":"javelot à dents gauche baissée et droite dressée"}},"category":"Sm"},{"category":"Sm","key":"294C","mappings":{"default":{"default":"crampon à dents supérieure droite et inférieure gauche"}}},{"category":"Sm","key":"294D","mappings":{"default":{"default":"crampon à dents supérieure gauche et inférieure droite"}}},{"key":"294E","mappings":{"default":{"default":"javelot à dents droite et gauche dressées"}},"category":"Sm"},{"key":"294F","mappings":{"default":{"default":"javelot à dents supérieure et inférieure droites"}},"category":"Sm"},{"key":"2950","mappings":{"default":{"default":"javelot à dents droite et gauche baissées"}},"category":"Sm"},{"key":"2951","mappings":{"default":{"default":"javelot à dents supérieure et inférieure gauches"}},"category":"Sm"},{"key":"2952","mappings":{"default":{"default":"harpon gauche à dent dressée contre taquet"}},"category":"Sm"},{"key":"2953","mappings":{"default":{"default":"harpon droit à dent dressée contre taquet"}},"category":"Sm"},{"key":"2954","mappings":{"default":{"default":"harpon vers le haut à dent droite contre taquet"}},"category":"Sm"},{"key":"2955","mappings":{"default":{"default":"harpon vers le bas à dent droite contre taquet"}},"category":"Sm"},{"key":"2956","mappings":{"default":{"default":"harpon gauche à dent baissée contre taquet"}},"category":"Sm"},{"key":"2957","mappings":{"default":{"default":"harpon droit à dent baissée contre taquet"}},"category":"Sm"},{"key":"2958","mappings":{"default":{"default":"harpon vers le haut à dent gauche contre taquet"}},"category":"Sm"},{"key":"2959","mappings":{"default":{"default":"harpon vers le bas à dent gauche contre taquet"}},"category":"Sm"},{"key":"295A","mappings":{"default":{"default":"harpon gauche à dent dressée depuis taquet"}},"category":"Sm"},{"key":"295B","mappings":{"default":{"default":"harpon droit à dent dressée depuis taquet"}},"category":"Sm"},{"key":"295C","mappings":{"default":{"default":"harpon vers le haut à dent droite depuis taquet"}},"category":"Sm"},{"key":"295D","mappings":{"default":{"default":"harpon vers le bas à dent droite depuis taquet"}},"category":"Sm"},{"key":"295E","mappings":{"default":{"default":"harpon gauche à dent baissée depuis taquet"}},"category":"Sm"},{"key":"295F","mappings":{"default":{"default":"harpon droit à dent baissée depuis taquet"}},"category":"Sm"},{"key":"2960","mappings":{"default":{"default":"harpon vers le haut à dent gauche depuis taquet"}},"category":"Sm"},{"key":"2961","mappings":{"default":{"default":"harpon vers le bas à dent gauche depuis taquet"}},"category":"Sm"},{"key":"2962","mappings":{"default":{"default":"harpon gauche à dent dressée sur harpon gauche à dent baissée"}},"category":"Sm"},{"key":"2963","mappings":{"default":{"default":"harpon vers le haut à dent gauche à côté de harpon vers le haut à dent droite"}},"category":"Sm"},{"key":"2964","mappings":{"default":{"default":"harpon droit à dent dressée par dessus harpon droit à dent baissée"}},"category":"Sm"},{"key":"2965","mappings":{"default":{"default":"harpon vers le bas à dent gauche à côté de harpon vers le bas à dent droite"}},"category":"Sm"},{"key":"2966","mappings":{"default":{"default":"harpon à dent gauche dressée par dessus harpon à dent droite dressée"}},"category":"Sm"},{"key":"2967","mappings":{"default":{"default":"harpon à dent gauche baissée par dessus harpon à dent droite baissée"}},"category":"Sm"},{"key":"2968","mappings":{"default":{"default":"harpon à dent droite dressée par dessus harpon à dent gauche dressée"}},"category":"Sm"},{"key":"2969","mappings":{"default":{"default":"harpon à dent droite baissée par dessus harpon à dent gauche baissée"}},"category":"Sm"},{"key":"296A","mappings":{"default":{"default":"harpon à dent gauche dressée par dessus long trait"}},"category":"Sm"},{"key":"296B","mappings":{"default":{"default":"long trait par dessus harpon à dent gauche baissée"}},"category":"Sm"},{"key":"296C","mappings":{"default":{"default":"harpon à dent droite dressée par dessus long trait"}},"category":"Sm"},{"key":"296D","mappings":{"default":{"default":"long trait par dessus harpon à dent droite baissée"}},"category":"Sm"},{"key":"296E","mappings":{"default":{"default":"harpon vers le haut à dent gauche à côté de harpon vers le bas à dent droite"}},"category":"Sm"},{"key":"296F","mappings":{"default":{"default":"harpon vers le bas à dent gauche à côté de harpon vers le haut à dent droite"}},"category":"Sm"},{"key":"297C","mappings":{"default":{"default":"ancre gauche"}},"category":"Sm"},{"key":"297D","mappings":{"default":{"default":"ancre droite"}},"category":"Sm"},{"key":"297E","mappings":{"default":{"default":"ancre vers le haut"}},"category":"Sm"},{"key":"297F","mappings":{"default":{"default":"ancre vers le bas"}},"category":"Sm"}]
+,
+"fr/symbols/math_non_characters.js": 
+[{"locale":"fr"},{"key":"210F","mappings":{"default":{"default":"constante de planck sur deux pi"}},"category":"Ll"},{"category":"So","key":"2114","mappings":{"default":{"default":"symbole l b barré"}}},{"key":"2116","mappings":{"default":{"default":"symbole numéro"}},"category":"So"},{"key":"2117","mappings":{"default":{"default":"copyright de programme sonore"}},"category":"So"},{"key":"211E","mappings":{"default":{"default":"ordonnances"}},"category":"So"},{"category":"So","key":"211F","mappings":{"default":{"default":"répons"}}},{"category":"So","key":"2120","mappings":{"default":{"default":"symbole anglais marque de service"}}},{"category":"So","key":"2121","mappings":{"default":{"default":"signe de téléphone"}}},{"key":"2122","mappings":{"default":{"default":"symbole anglais marque de commerce"}},"category":"So"},{"category":"So","key":"2123","mappings":{"default":{"default":"versicule"}}},{"key":"2125","mappings":{"default":{"default":"symbole once"}},"category":"So"},{"key":"2126","mappings":{"default":{"default":"ohm"}},"category":"Lu"},{"key":"2127","mappings":{"default":{"default":"ohm culbuté"}},"category":"So"},{"key":"212A","mappings":{"default":{"default":"degré kelvin"}},"category":"Lu"},{"key":"212B","mappings":{"default":{"default":"angstroms"}},"category":"Lu"},{"category":"So","key":"212E","mappings":{"default":{"default":"symbole estimé"}}},{"key":"2132","mappings":{"default":{"default":"f culbuté majuscule"}},"category":"Lu"},{"category":"Ll","key":"2139","mappings":{"default":{"default":"bureau d'information"}}},{"category":"So","key":"213A","mappings":{"default":{"default":"Q majuscule couché"}}},{"category":"So","key":"213B","mappings":{"default":{"default":"symbole télécopie"}}},{"category":"Sm","key":"2141","mappings":{"default":{"default":"G culbuté majuscule sans empattement"}}},{"category":"Sm","key":"2142","mappings":{"default":{"default":"L culbuté majuscule sans empattement"}}},{"category":"Sm","key":"2143","mappings":{"default":{"default":"L réfléchi majuscule sans empattement"}}},{"category":"Sm","key":"2144","mappings":{"default":{"default":"Y culbuté majuscule sans empattement"}}}]
+,
+"fr/symbols/math_symbols.js": 
+[{"locale":"fr"},{"key":"0021","mappings":{"default":{"default":"factorielle"}},"category":"Po"},{"key":"0022","mappings":{"default":{"default":"petit guillemet"}},"category":"Po"},{"key":"0023","mappings":{"default":{"default":"dièse"}},"category":"Po"},{"key":"0024","mappings":{"default":{"default":"dollars"}},"category":"Sc"},{"key":"0025","mappings":{"default":{"default":"pourcent"}},"category":"Po"},{"key":"0026","mappings":{"default":{"default":"esperluette"}},"category":"Po"},{"key":"0027","mappings":{"default":{"default":"prime","alternative":"apostrophe"}},"category":"Po"},{"key":"002A","mappings":{"default":{"default":"astérisque"}},"category":"Po"},{"key":"002B","mappings":{"default":{"default":"plus"}},"category":"Sm"},{"key":"002C","mappings":{"default":{"default":"virgule"}},"category":"Po"},{"key":"002D","mappings":{"default":{"default":"moins"}},"category":"Pd"},{"key":"002E","mappings":{"default":{"default":"point"}},"category":"Po"},{"key":"002F","mappings":{"default":{"default":"barre oblique"}},"category":"Po"},{"key":"003A","mappings":{"default":{"default":"deux points"}},"category":"Po"},{"key":"003B","mappings":{"default":{"default":"point virgule"}},"category":"Po"},{"key":"003C","mappings":{"default":{"default":"inférieur à"}},"category":"Sm"},{"key":"003D","mappings":{"default":{"default":"égale"}},"category":"Sm"},{"key":"003E","mappings":{"default":{"default":"supérieur à"}},"category":"Sm"},{"key":"003F","mappings":{"default":{"default":"point d'interrogation"}},"category":"Po"},{"key":"0040","mappings":{"default":{"default":"arobase"}},"category":"Po"},{"key":"005C","mappings":{"default":{"default":"barre oblique inversée"}},"category":"Po"},{"key":"005E","mappings":{"default":{"default":"circonflexe"}},"category":"Sk"},{"key":"005F","mappings":{"default":{"default":"tiret bas"}},"category":"Pc"},{"key":"0060","mappings":{"default":{"default":"accent grave"}},"category":"Sk"},{"key":"007C","mappings":{"default":{"default":"barre verticale"}},"category":"Sm"},{"key":"007E","mappings":{"default":{"default":"tilde"}},"category":"Sm"},{"key":"00A1","mappings":{"default":{"default":"point d'exclamation renversé"}},"category":"Po"},{"key":"00A2","mappings":{"default":{"default":"centimes"}},"category":"Sc"},{"key":"00A3","mappings":{"default":{"default":"livres"}},"category":"Sc"},{"key":"00A4","mappings":{"default":{"default":"symbole monétaire"}},"category":"Sc"},{"key":"00A5","mappings":{"default":{"default":"yen"}},"category":"Sc"},{"key":"00A6","mappings":{"default":{"default":"barre déjointe"}},"category":"So"},{"key":"00A7","mappings":{"default":{"default":"paragraphe"}},"category":"Po"},{"key":"00A8","mappings":{"default":{"default":"tréma"}},"category":"Sk"},{"key":"00A9","mappings":{"default":{"default":"copyright"}},"category":"So"},{"key":"00AA","mappings":{"default":{"default":"indicateur ordinal féminin"}},"category":"Lo"},{"key":"00AB","mappings":{"default":{"default":"guillemet chevron pointant gauche"}},"category":"Pi"},{"key":"00AC","mappings":{"default":{"default":"négation"}},"category":"Sm"},{"key":"00AE","mappings":{"default":{"default":"symbole marque déposée"}},"category":"So"},{"key":"00AF","mappings":{"default":{"default":"macron"}},"category":"Sk"},{"key":"00B0","mappings":{"default":{"default":"degrés"}},"category":"So"},{"key":"00B1","mappings":{"default":{"default":"plus ou moins"}},"category":"Sm"},{"key":"00B4","mappings":{"default":{"default":"accent aigu"}},"category":"Sk"},{"key":"00B5","mappings":{"default":{"default":"symbole micro"}},"category":"Ll"},{"key":"00B6","mappings":{"default":{"default":"fin de paragraphe"}},"category":"Po"},{"key":"00B7","mappings":{"default":{"default":"point médian"}},"category":"Po"},{"key":"00B8","mappings":{"default":{"default":"cédille"}},"category":"Sk"},{"key":"00BA","mappings":{"default":{"default":"indicateur ordinal masculin"}},"category":"Lo"},{"key":"00BB","mappings":{"default":{"default":"guillemet chevron pointant droite"}},"category":"Pf"},{"key":"00BF","mappings":{"default":{"default":"point d'interrogation renversé"}},"category":"Po"},{"key":"00D7","mappings":{"default":{"default":"multiplié par"}},"category":"Sm"},{"key":"00F7","mappings":{"default":{"default":"divisé par"}},"category":"Sm"},{"key":"02D8","mappings":{"default":{"default":"brève"}},"category":"Sk"},{"key":"02D9","mappings":{"default":{"default":"point en chef"}},"category":"Sk"},{"key":"02DA","mappings":{"default":{"default":"rond en chef"}},"category":"Sk"},{"key":"02DB","mappings":{"default":{"default":"ogonek"}},"category":"Sk"},{"key":"02DC","mappings":{"default":{"default":"tilde"}},"category":"Sk"},{"key":"02DD","mappings":{"default":{"default":"double accent aigu"}},"category":"Sk"},{"key":"2010","mappings":{"default":{"default":"trait d'union"}},"category":"Pd"},{"category":"Pd","key":"2011","mappings":{"default":{"default":"trait d'union insécable"}}},{"category":"Pd","key":"2012","mappings":{"default":{"default":"tiret numérique"}}},{"key":"2013","mappings":{"default":{"default":"trait d'union insécable"}},"category":"Pd"},{"key":"2014","mappings":{"default":{"default":"tiret numérique"}},"category":"Pd"},{"key":"2015","mappings":{"default":{"default":"barre horizontalle"}},"category":"Pd"},{"key":"2016","mappings":{"default":{"default":"double ligne verticale"}},"category":"Po"},{"category":"Po","key":"2017","mappings":{"default":{"default":"double trait souscrit"}}},{"key":"2018","mappings":{"default":{"default":"guillemet apostrophe culbuté"}},"category":"Pi"},{"key":"2019","mappings":{"default":{"default":"guillemet apostrophe"}},"category":"Pf"},{"key":"201A","mappings":{"default":{"default":"guillemet virgule inférieur"}},"category":"Ps"},{"category":"Pi","key":"201B","mappings":{"default":{"default":"guillemet virgule supérieur culbuté"}}},{"key":"201C","mappings":{"default":{"default":"guillemet apostrophe double culbuté"}},"category":"Pi"},{"key":"201D","mappings":{"default":{"default":"guillemet apostrophe double"}},"category":"Pf"},{"key":"201E","mappings":{"default":{"default":"guillemet double prime"}},"category":"Ps"},{"category":"Pi","key":"201F","mappings":{"default":{"default":"guillemet virgule double supérieur culbuté"}}},{"key":"2020","mappings":{"default":{"default":"obèle"}},"category":"Po"},{"key":"2021","mappings":{"default":{"default":"double obèle"}},"category":"Po"},{"key":"2022","mappings":{"default":{"default":"puce"}},"category":"Po"},{"category":"Po","key":"2023","mappings":{"default":{"default":"puce triangulaire"}}},{"category":"Po","key":"2024","mappings":{"default":{"default":"point de conduite simple"}}},{"key":"2025","mappings":{"default":{"default":"point de conduite double"}},"category":"Po"},{"key":"2026","mappings":{"default":{"default":"points de suspension"}},"category":"Po"},{"category":"Po","key":"2027","mappings":{"default":{"default":"point de coupure de mot"}}},{"key":"2030","mappings":{"default":{"default":"symbole pour mille"}},"category":"Po"},{"key":"2031","mappings":{"default":{"default":"symbole pour dix mille"}},"category":"Po"},{"key":"2032","mappings":{"default":{"default":"prime"}},"category":"Po"},{"key":"2033","mappings":{"default":{"default":"double prime"}},"category":"Po"},{"key":"2034","mappings":{"default":{"default":"triple prime"}},"category":"Po"},{"key":"2035","mappings":{"default":{"default":"prime réfléchi"}},"category":"Po"},{"key":"2036","mappings":{"default":{"default":"double prime réfléchi"}},"category":"Po"},{"category":"Po","key":"2037","mappings":{"default":{"default":"triple prime réfléchi"}}},{"category":"Po","key":"2038","mappings":{"default":{"default":"chevron d'insertion"}}},{"key":"2039","mappings":{"default":{"default":"guillemet simple gauche"}},"category":"Pi"},{"key":"203A","mappings":{"default":{"default":"guillemet simple droite"}},"category":"Pf"},{"category":"Po","key":"203B","mappings":{"default":{"default":"marque de référence"}}},{"category":"Po","key":"203C","mappings":{"default":{"default":"double point d'exclamation"}}},{"category":"Po","key":"203D","mappings":{"default":{"default":"point exclarrogatif"}}},{"key":"203E","mappings":{"default":{"default":"tiret en chef"}},"category":"Po"},{"category":"Pc","key":"203F","mappings":{"default":{"default":"tirant souscrit"}}},{"key":"2040","mappings":{"default":{"default":"tirant en chef"}},"category":"Pc"},{"key":"2041","mappings":{"default":{"default":"lambda d'insertion"}},"category":"Po"},{"category":"Po","key":"2042","mappings":{"default":{"default":"astérisme"}}},{"key":"2043","mappings":{"default":{"default":"puce trait d'union"}},"category":"Po"},{"key":"2044","mappings":{"default":{"default":"barre de fraction"}},"category":"Sm"},{"category":"Po","key":"2047","mappings":{"default":{"default":"double point d'interrogation"}}},{"category":"Po","key":"2048","mappings":{"default":{"default":"point d'interrogation exclamation"}}},{"category":"Po","key":"2049","mappings":{"default":{"default":"point d'exclamation interrogation"}}},{"category":"Po","key":"204B","mappings":{"default":{"default":"pied de mouche réfléchi"}}},{"category":"Po","key":"204C","mappings":{"default":{"default":"puce noire tronquée à droite"}}},{"category":"Po","key":"204D","mappings":{"default":{"default":"puce noire tronquée à gauche"}}},{"category":"Po","key":"204E","mappings":{"default":{"default":"astérisque baissé"}}},{"key":"204F","mappings":{"default":{"default":"point virgule réfléchi"}},"category":"Po"},{"key":"2050","mappings":{"default":{"default":"resserrer"}},"category":"Po"},{"category":"Po","key":"2051","mappings":{"default":{"default":"deux astérisques alignés verticalement"}}},{"category":"Sm","key":"2052","mappings":{"default":{"default":"moins commercial"}}},{"category":"Po","key":"2053","mappings":{"default":{"default":"tiret ondé"}}},{"category":"Pc","key":"2054","mappings":{"default":{"default":"dos d'âne souscrit"}}},{"category":"Po","key":"2055","mappings":{"default":{"default":"point fleur"}}},{"category":"Po","key":"2056","mappings":{"default":{"default":"trois points"}}},{"key":"2057","mappings":{"default":{"default":"quadruple prime"}},"category":"Po"},{"category":"Po","key":"2058","mappings":{"default":{"default":"quatre points en losange"}}},{"category":"Po","key":"2059","mappings":{"default":{"default":"cinq points en quinconce"}}},{"category":"Po","key":"205A","mappings":{"default":{"default":"deux points en capitale"}}},{"category":"Po","key":"205B","mappings":{"default":{"default":"quatre points en croix"}}},{"category":"Po","key":"205C","mappings":{"default":{"default":"croix pointée"}}},{"category":"Po","key":"205D","mappings":{"default":{"default":"trois points vertical"}}},{"category":"Po","key":"205E","mappings":{"default":{"default":"quatre points vertical"}}},{"category":"Sm","key":"207A","mappings":{"default":{"default":"exposant signe plus"}}},{"category":"Sm","key":"207B","mappings":{"default":{"default":"exposant signe moins"}}},{"category":"Sm","key":"207C","mappings":{"default":{"default":"exposant signe égal"}}},{"category":"Ps","key":"207D","mappings":{"default":{"default":"exposant parenthèse gauche"}}},{"category":"Pe","key":"207E","mappings":{"default":{"default":"exposant parenthèse droite"}}},{"category":"Sm","key":"208A","mappings":{"default":{"default":"indice signe plus"}}},{"category":"Sm","key":"208B","mappings":{"default":{"default":"indice signe moins"}}},{"category":"Sm","key":"208C","mappings":{"default":{"default":"indice signe égal"}}},{"category":"Ps","key":"208D","mappings":{"default":{"default":"indice parenthèse gauche"}}},{"category":"Pe","key":"208E","mappings":{"default":{"default":"indice parenthèse droite"}}},{"category":"So","key":"214A","mappings":{"default":{"default":"limite de propriété"}}},{"category":"Sm","key":"214B","mappings":{"default":{"default":"perluète culbutée"}}},{"category":"So","key":"214C","mappings":{"default":{"default":"symbole per"}}},{"category":"So","key":"214D","mappings":{"default":{"default":"aktieselskab"}}},{"category":"Ll","key":"214E","mappings":{"default":{"default":"minuscule f culbuté"}}},{"key":"2200","mappings":{"default":{"default":"pour tous"}},"category":"Sm"},{"key":"2201","mappings":{"default":{"default":"complément"}},"category":"Sm"},{"key":"2203","mappings":{"default":{"default":"il existe"}},"category":"Sm"},{"key":"2204","mappings":{"default":{"default":"il n'existe pas"}},"category":"Sm"},{"key":"2205","mappings":{"default":{"default":"ensemble vide"}},"category":"Sm"},{"key":"2206","mappings":{"default":{"default":"incrément"}},"category":"Sm"},{"key":"2208","mappings":{"default":{"default":"appartient à"}},"category":"Sm"},{"key":"2209","mappings":{"default":{"default":"n'appartient pas à"}},"category":"Sm"},{"key":"220A","mappings":{"default":{"default":"appartient à"}},"category":"Sm"},{"key":"220B","mappings":{"default":{"default":"contient comme élément"}},"category":"Sm"},{"key":"220C","mappings":{"default":{"default":"ne contient pas comme élément"}},"category":"Sm"},{"key":"220D","mappings":{"default":{"default":"contient comme élément"}},"category":"Sm"},{"key":"220E","mappings":{"default":{"default":"ce qu'il fallait démontrer"}},"category":"Sm"},{"key":"220F","mappings":{"default":{"default":"produit"}},"category":"Sm"},{"key":"2210","mappings":{"default":{"default":"coproduit"}},"category":"Sm"},{"key":"2211","mappings":{"default":{"default":"sommation"}},"category":"Sm"},{"key":"2212","mappings":{"default":{"default":"moins"}},"category":"Sm"},{"key":"2213","mappings":{"default":{"default":"moins ou plus"}},"category":"Sm"},{"key":"2214","mappings":{"default":{"default":"plus pointé"}},"category":"Sm"},{"key":"2215","mappings":{"default":{"default":"division"}},"category":"Sm"},{"key":"2216","mappings":{"default":{"default":"différence d'ensembles"}},"category":"Sm"},{"key":"2217","mappings":{"default":{"default":"opérateur astérisque"}},"category":"Sm"},{"key":"2218","mappings":{"default":{"default":"opérateur rond"}},"category":"Sm"},{"key":"2219","mappings":{"default":{"default":"point médian"}},"category":"Sm"},{"key":"221A","mappings":{"default":{"default":"racine carrée"}},"category":"Sm"},{"key":"221B","mappings":{"default":{"default":"racine cubique"}},"category":"Sm"},{"key":"221C","mappings":{"default":{"default":"racine quatrième"}},"category":"Sm"},{"key":"221D","mappings":{"default":{"default":"proportionnel à"}},"category":"Sm"},{"key":"221E","mappings":{"default":{"default":"infini"}},"category":"Sm"},{"key":"221F","mappings":{"default":{"default":"angle droit"}},"category":"Sm"},{"key":"2220","mappings":{"default":{"default":"angle"}},"category":"Sm"},{"key":"2221","mappings":{"default":{"default":"angle mesuré"}},"category":"Sm"},{"key":"2222","mappings":{"default":{"default":"angle sphérique"}},"category":"Sm"},{"key":"2223","mappings":{"default":{"default":"est un diviseur de"}},"category":"Sm"},{"key":"2224","mappings":{"default":{"default":"n'est pas un diviseur de"}},"category":"Sm"},{"key":"2225","mappings":{"default":{"default":"parallèle à"}},"category":"Sm"},{"key":"2226","mappings":{"default":{"default":"non parallèle à"}},"category":"Sm"},{"key":"2227","mappings":{"default":{"default":"et logique"}},"category":"Sm"},{"key":"2228","mappings":{"default":{"default":"ou logique"}},"category":"Sm"},{"key":"2229","mappings":{"default":{"default":"intersection"}},"category":"Sm"},{"key":"222A","mappings":{"default":{"default":"union"}},"category":"Sm"},{"key":"222B","mappings":{"default":{"default":"intégrale"}},"category":"Sm"},{"key":"222C","mappings":{"default":{"default":"intégrale double"}},"category":"Sm"},{"key":"222D","mappings":{"default":{"default":"intégrale triple"}},"category":"Sm"},{"key":"222E","mappings":{"default":{"default":"intégrale de contour"}},"category":"Sm"},{"key":"222F","mappings":{"default":{"default":"intégrale de surface"}},"category":"Sm"},{"key":"2230","mappings":{"default":{"default":"intégrale de volume"}},"category":"Sm"},{"key":"2231","mappings":{"default":{"default":"intégrale en sens négatif"}},"category":"Sm"},{"key":"2232","mappings":{"default":{"default":"intégrale de contour en sens négatif"}},"category":"Sm"},{"key":"2233","mappings":{"default":{"default":"intégrale de contour en sens positif"}},"category":"Sm"},{"key":"2234","mappings":{"default":{"default":"par conséquent"}},"category":"Sm"},{"key":"2235","mappings":{"default":{"default":"parce que"}},"category":"Sm"},{"key":"2236","mappings":{"default":{"default":"rapport"}},"category":"Sm"},{"key":"2237","mappings":{"default":{"default":"proportion"}},"category":"Sm"},{"key":"2238","mappings":{"default":{"default":"moins pointé"}},"category":"Sm"},{"key":"2239","mappings":{"default":{"default":"excès"}},"category":"Sm"},{"key":"223A","mappings":{"default":{"default":"proportion géométrique"}},"category":"Sm"},{"key":"223B","mappings":{"default":{"default":"homothétique"}},"category":"Sm"},{"key":"223C","mappings":{"default":{"default":"opérateur tilde"}},"category":"Sm"},{"key":"223D","mappings":{"default":{"default":"opérateur tilde renversé"}},"category":"Sm"},{"key":"223E","mappings":{"default":{"default":"s couché renversé"}},"category":"Sm"},{"key":"223F","mappings":{"default":{"default":"sinusoïde"}},"category":"Sm"},{"key":"2240","mappings":{"default":{"default":"produit couronne"}},"category":"Sm"},{"key":"2241","mappings":{"default":{"default":"non tilde"}},"category":"Sm"},{"key":"2242","mappings":{"default":{"default":"moins tilde"}},"category":"Sm"},{"key":"2243","mappings":{"default":{"default":"asymptotiquement égal à"}},"category":"Sm"},{"key":"2244","mappings":{"default":{"default":"non asymptotiquement égal à"}},"category":"Sm"},{"key":"2245","mappings":{"default":{"default":"approximativement égal à"}},"category":"Sm"},{"key":"2246","mappings":{"default":{"default":"approximativement mais non strictement égal à"}},"category":"Sm"},{"key":"2247","mappings":{"default":{"default":"ni approximativement ni strictement égal à"}},"category":"Sm"},{"key":"2248","mappings":{"default":{"default":"presque égal à"}},"category":"Sm"},{"key":"2249","mappings":{"default":{"default":"non presque égal à"}},"category":"Sm"},{"key":"224A","mappings":{"default":{"default":"presque égal ou égal à"}},"category":"Sm"},{"key":"224B","mappings":{"default":{"default":"triple tilde"}},"category":"Sm"},{"key":"224C","mappings":{"default":{"default":"entièrement égal à"}},"category":"Sm"},{"key":"224D","mappings":{"default":{"default":"équivalent à"}},"category":"Sm"},{"key":"224E","mappings":{"default":{"default":"géométriquement équivalent à"}},"category":"Sm"},{"key":"224F","mappings":{"default":{"default":"différence entre"}},"category":"Sm"},{"key":"2250","mappings":{"default":{"default":"tend vers la limite"}},"category":"Sm"},{"key":"2251","mappings":{"default":{"default":"géométriquement égal à"}},"category":"Sm"},{"key":"2252","mappings":{"default":{"default":"approximativement égal à ou image de"}},"category":"Sm"},{"key":"2253","mappings":{"default":{"default":"image de ou approximativement égal à"}},"category":"Sm"},{"key":"2254","mappings":{"default":{"default":"deux points égal"}},"category":"Sm"},{"key":"2255","mappings":{"default":{"default":"égal deux points"}},"category":"Sm"},{"key":"2256","mappings":{"default":{"default":"rond dans égal"}},"category":"Sm"},{"key":"2257","mappings":{"default":{"default":"égal avec rond en chef"}},"category":"Sm"},{"key":"2258","mappings":{"default":{"default":"correspond à"}},"category":"Sm"},{"key":"2259","mappings":{"default":{"default":"estime"}},"category":"Sm"},{"key":"225A","mappings":{"default":{"default":"équiangulaire à"}},"category":"Sm"},{"key":"225B","mappings":{"default":{"default":"égal avec étoile en chef"}},"category":"Sm"},{"key":"225C","mappings":{"default":{"default":"égal delta"}},"category":"Sm"},{"key":"225D","mappings":{"default":{"default":"égal par définition à"}},"category":"Sm"},{"key":"225E","mappings":{"default":{"default":"mesuré par"}},"category":"Sm"},{"key":"225F","mappings":{"default":{"default":"égalité en doute"}},"category":"Sm"},{"key":"2260","mappings":{"default":{"default":"pas égal à"}},"category":"Sm"},{"key":"2261","mappings":{"default":{"default":"identique à"}},"category":"Sm"},{"key":"2262","mappings":{"default":{"default":"non identique à"}},"category":"Sm"},{"key":"2263","mappings":{"default":{"default":"strictement équivalent à"}},"category":"Sm"},{"key":"2264","mappings":{"default":{"default":"plus petit ou égal à"}},"category":"Sm"},{"key":"2265","mappings":{"default":{"default":"plus grand ou égal à"}},"category":"Sm"},{"key":"2266","mappings":{"default":{"default":"plus petit que par dessus égal à"}},"category":"Sm"},{"key":"2267","mappings":{"default":{"default":"plus grand que par dessus égal à"}},"category":"Sm"},{"key":"2268","mappings":{"default":{"default":"plus petit mais pas égal à"}},"category":"Sm"},{"key":"2269","mappings":{"default":{"default":"plus grand mais pas égal à"}},"category":"Sm"},{"key":"226A","mappings":{"default":{"default":"beaucoup plus petit que"}},"category":"Sm"},{"key":"226B","mappings":{"default":{"default":"beaucoup plus grand que"}},"category":"Sm"},{"key":"226C","mappings":{"default":{"default":"entre"}},"category":"Sm"},{"key":"226D","mappings":{"default":{"default":"non équivalent à"}},"category":"Sm"},{"key":"226E","mappings":{"default":{"default":"pas plus petit que"}},"category":"Sm"},{"key":"226F","mappings":{"default":{"default":"pas plus grand que"}},"category":"Sm"},{"key":"2270","mappings":{"default":{"default":"ni plus petit ni égal à"}},"category":"Sm"},{"key":"2271","mappings":{"default":{"default":"ni plus grand ni égal à"}},"category":"Sm"},{"key":"2272","mappings":{"default":{"default":"plus petit ou équivalent à"}},"category":"Sm"},{"key":"2273","mappings":{"default":{"default":"plus grand ou équivalent à"}},"category":"Sm"},{"key":"2274","mappings":{"default":{"default":"ni plus petit ni équivalent à"}},"category":"Sm"},{"key":"2275","mappings":{"default":{"default":"ni plus grand ni équivalent à"}},"category":"Sm"},{"key":"2276","mappings":{"default":{"default":"plus petit ou plus grand que"}},"category":"Sm"},{"key":"2277","mappings":{"default":{"default":"plus grand ou plus petit que"}},"category":"Sm"},{"key":"2278","mappings":{"default":{"default":"ni plus petit ni plus grand que"}},"category":"Sm"},{"key":"2279","mappings":{"default":{"default":"ni plus grand ni plus petit que"}},"category":"Sm"},{"key":"227A","mappings":{"default":{"default":"précède"}},"category":"Sm"},{"key":"227B","mappings":{"default":{"default":"suit"}},"category":"Sm"},{"key":"227C","mappings":{"default":{"default":"précède ou est égal à"}},"category":"Sm"},{"key":"227D","mappings":{"default":{"default":"suit ou est égal à"}},"category":"Sm"},{"key":"227E","mappings":{"default":{"default":"précède ou est équivalent à"}},"category":"Sm"},{"key":"227F","mappings":{"default":{"default":"suit ou est équivalent à"}},"category":"Sm"},{"key":"2280","mappings":{"default":{"default":"ne précède pas"}},"category":"Sm"},{"key":"2281","mappings":{"default":{"default":"ne suit pas"}},"category":"Sm"},{"key":"2282","mappings":{"default":{"default":"sous ensemble de"}},"category":"Sm"},{"key":"2283","mappings":{"default":{"default":"sur ensemble de"}},"category":"Sm"},{"key":"2284","mappings":{"default":{"default":"pas un sous ensemble de"}},"category":"Sm"},{"key":"2285","mappings":{"default":{"default":"pas un sur ensemble de"}},"category":"Sm"},{"key":"2286","mappings":{"default":{"default":"sous ensemble ou égal à"}},"category":"Sm"},{"key":"2287","mappings":{"default":{"default":"sur ensemble ou égal à"}},"category":"Sm"},{"key":"2288","mappings":{"default":{"default":"ni un sous ensemble ni égal à"}},"category":"Sm"},{"key":"2289","mappings":{"default":{"default":"ni un sur ensemble ni égal à"}},"category":"Sm"},{"key":"228A","mappings":{"default":{"default":"sous ensemble mais pas égal à"}},"category":"Sm"},{"key":"228B","mappings":{"default":{"default":"sur ensemble mais pas égal à"}},"category":"Sm"},{"key":"228C","mappings":{"default":{"default":"multiensemble"}},"category":"Sm"},{"key":"228D","mappings":{"default":{"default":"multiplication de multiensemble"}},"category":"Sm"},{"key":"228E","mappings":{"default":{"default":"union de multiensemble"}},"category":"Sm"},{"key":"228F","mappings":{"default":{"default":"image carrée de"}},"category":"Sm"},{"key":"2290","mappings":{"default":{"default":"original carré de"}},"category":"Sm"},{"key":"2291","mappings":{"default":{"default":"image carrée ou égal à"}},"category":"Sm"},{"key":"2292","mappings":{"default":{"default":"original carré ou égal à"}},"category":"Sm"},{"key":"2293","mappings":{"default":{"default":"chapeau carré"}},"category":"Sm"},{"key":"2294","mappings":{"default":{"default":"coupe carrée"}},"category":"Sm"},{"key":"2295","mappings":{"default":{"default":"plus cerclé"}},"category":"Sm"},{"key":"2296","mappings":{"default":{"default":"moins cerclé"}},"category":"Sm"},{"key":"2297","mappings":{"default":{"default":"multiplié par cerclé"}},"category":"Sm"},{"key":"2298","mappings":{"default":{"default":"barre oblique de division cerclée"}},"category":"Sm"},{"key":"2299","mappings":{"default":{"default":"opérateur point cerclé"}},"category":"Sm"},{"key":"229A","mappings":{"default":{"default":"opérateur rond cerclé"}},"category":"Sm"},{"key":"229B","mappings":{"default":{"default":"opérateur astérisque cerclé"}},"category":"Sm"},{"key":"229C","mappings":{"default":{"default":"égal cerclé"}},"category":"Sm"},{"key":"229D","mappings":{"default":{"default":"tiret cerclé"}},"category":"Sm"},{"key":"229E","mappings":{"default":{"default":"plus encadré"}},"category":"Sm"},{"key":"229F","mappings":{"default":{"default":"moins encadré"}},"category":"Sm"},{"key":"22A0","mappings":{"default":{"default":"multiplié par encadré"}},"category":"Sm"},{"key":"22A1","mappings":{"default":{"default":"opérateur point encadré"}},"category":"Sm"},{"key":"22A2","mappings":{"default":{"default":"taquet droit"}},"category":"Sm"},{"key":"22A3","mappings":{"default":{"default":"taquet gauche"}},"category":"Sm"},{"key":"22A4","mappings":{"default":{"default":"taquet vers le bas"}},"category":"Sm"},{"key":"22A5","mappings":{"default":{"default":"taquet vers le haut"}},"category":"Sm"},{"key":"22A6","mappings":{"default":{"default":"assertion"}},"category":"Sm"},{"key":"22A7","mappings":{"default":{"default":"modélise"}},"category":"Sm"},{"key":"22A8","mappings":{"default":{"default":"vrai"}},"category":"Sm"},{"key":"22A9","mappings":{"default":{"default":"oblige"}},"category":"Sm"},{"key":"22AA","mappings":{"default":{"default":"barre verticale triple avec tourniquet à droite"}},"category":"Sm"},{"key":"22AB","mappings":{"default":{"default":"barre verticale double avec tourniquet à droite double"}},"category":"Sm"},{"key":"22AC","mappings":{"default":{"default":"ne prouve pas"}},"category":"Sm"},{"key":"22AD","mappings":{"default":{"default":"pas vrai"}},"category":"Sm"},{"key":"22AE","mappings":{"default":{"default":"n'oblige pas"}},"category":"Sm"},{"key":"22AF","mappings":{"default":{"default":"non barre verticale double avec tourniquet à droite double"}},"category":"Sm"},{"key":"22B0","mappings":{"default":{"default":"précède sous relation"}},"category":"Sm"},{"key":"22B1","mappings":{"default":{"default":"suit sous relation"}},"category":"Sm"},{"key":"22B2","mappings":{"default":{"default":"sous groupe normal de"}},"category":"Sm"},{"key":"22B3","mappings":{"default":{"default":"contient comme sous groupe normal"}},"category":"Sm"},{"key":"22B4","mappings":{"default":{"default":"sous groupe normal ou égal à"}},"category":"Sm"},{"key":"22B5","mappings":{"default":{"default":"contient comme sous groupe normal ou égal à"}},"category":"Sm"},{"key":"22B6","mappings":{"default":{"default":"original de"}},"category":"Sm"},{"key":"22B7","mappings":{"default":{"default":"image de"}},"category":"Sm"},{"key":"22B8","mappings":{"default":{"default":"multijection"}},"category":"Sm"},{"key":"22B9","mappings":{"default":{"default":"matrice hermitienne conjuguée"}},"category":"Sm"},{"key":"22BA","mappings":{"default":{"default":"intercale"}},"category":"Sm"},{"key":"22BB","mappings":{"default":{"default":"ou exclusif"}},"category":"Sm"},{"key":"22BC","mappings":{"default":{"default":"non et"}},"category":"Sm"},{"key":"22BD","mappings":{"default":{"default":"non ou"}},"category":"Sm"},{"key":"22BF","mappings":{"default":{"default":"triangle rectangle"}},"category":"Sm"},{"key":"22C0","mappings":{"default":{"default":"et logique de la famille"}},"category":"Sm"},{"key":"22C1","mappings":{"default":{"default":"ou logique de la famille"}},"category":"Sm"},{"key":"22C2","mappings":{"default":{"default":"intersection de la famille"}},"category":"Sm"},{"key":"22C3","mappings":{"default":{"default":"réunion de la famille"}},"category":"Sm"},{"key":"22C4","mappings":{"default":{"default":"opérateur losange"}},"category":"Sm"},{"key":"22C5","mappings":{"default":{"default":"opérateur point"}},"category":"Sm"},{"key":"22C6","mappings":{"default":{"default":"opérateur étoile"}},"category":"Sm"},{"key":"22C7","mappings":{"default":{"default":"divisé multiplié"}},"category":"Sm"},{"key":"22C8","mappings":{"default":{"default":"nœud papillon"}},"category":"Sm"},{"key":"22C9","mappings":{"default":{"default":"produit semi direct à gauche de facteur normal"}},"category":"Sm"},{"key":"22CA","mappings":{"default":{"default":"produit semi direct à droite de facteur normal"}},"category":"Sm"},{"key":"22CB","mappings":{"default":{"default":"produit semi direct à gauche"}},"category":"Sm"},{"key":"22CC","mappings":{"default":{"default":"produit semi direct à droite"}},"category":"Sm"},{"key":"22CD","mappings":{"default":{"default":"moins tilde renversé"}},"category":"Sm"},{"key":"22CE","mappings":{"default":{"default":"ou logique recourbé"}},"category":"Sm"},{"key":"22CF","mappings":{"default":{"default":"et logique recourbé"}},"category":"Sm"},{"key":"22D0","mappings":{"default":{"default":"sous ensemble double"}},"category":"Sm"},{"key":"22D1","mappings":{"default":{"default":"sur ensemble double"}},"category":"Sm"},{"key":"22D2","mappings":{"default":{"default":"intersection double"}},"category":"Sm"},{"key":"22D3","mappings":{"default":{"default":"union double"}},"category":"Sm"},{"key":"22D4","mappings":{"default":{"default":"fourche"}},"category":"Sm"},{"key":"22D5","mappings":{"default":{"default":"égal et parallèle à"}},"category":"Sm"},{"key":"22D6","mappings":{"default":{"default":"plus petit que pointé"}},"category":"Sm"},{"key":"22D7","mappings":{"default":{"default":"plus grand que pointé"}},"category":"Sm"},{"key":"22D8","mappings":{"default":{"default":"considérablement plus petit que"}},"category":"Sm"},{"key":"22D9","mappings":{"default":{"default":"considérablement plus grand que"}},"category":"Sm"},{"key":"22DA","mappings":{"default":{"default":"plus petit ou égal ou plus grand que"}},"category":"Sm"},{"key":"22DB","mappings":{"default":{"default":"plus grand ou égal ou plus petit que"}},"category":"Sm"},{"key":"22DC","mappings":{"default":{"default":"égal ou plus petit que"}},"category":"Sm"},{"key":"22DD","mappings":{"default":{"default":"égal à deux lignes ou supérieur à"}},"category":"Sm"},{"key":"22DE","mappings":{"default":{"default":"égal ou précède"}},"category":"Sm"},{"key":"22DF","mappings":{"default":{"default":"égal ou suit"}},"category":"Sm"},{"key":"22E0","mappings":{"default":{"default":"ni précédant ni égal à"}},"category":"Sm"},{"key":"22E1","mappings":{"default":{"default":"ni suivant ni égal à"}},"category":"Sm"},{"key":"22E2","mappings":{"default":{"default":"ni image carrée ni égal à"}},"category":"Sm"},{"key":"22E3","mappings":{"default":{"default":"ni original carré ni égal à"}},"category":"Sm"},{"key":"22E4","mappings":{"default":{"default":"image carré ou différent de"}},"category":"Sm"},{"key":"22E5","mappings":{"default":{"default":"original carré ou différent de"}},"category":"Sm"},{"key":"22E6","mappings":{"default":{"default":"plus petit mais non équivalent à"}},"category":"Sm"},{"key":"22E7","mappings":{"default":{"default":"plus grand mais non équivalent à"}},"category":"Sm"},{"key":"22E8","mappings":{"default":{"default":"précédant mais non équivalent à"}},"category":"Sm"},{"key":"22E9","mappings":{"default":{"default":"suivant mais non équivalent à"}},"category":"Sm"},{"key":"22EA","mappings":{"default":{"default":"pas un sous groupe normal de"}},"category":"Sm"},{"key":"22EB","mappings":{"default":{"default":"ne contient pas comme sous groupe normal"}},"category":"Sm"},{"key":"22EC","mappings":{"default":{"default":"ni sous groupe normal ni égal à"}},"category":"Sm"},{"key":"22ED","mappings":{"default":{"default":"ni égal ni contenant comme sous  groupe normal"}},"category":"Sm"},{"key":"22EE","mappings":{"default":{"default":"trois points suspendus"}},"category":"Sm"},{"key":"22EF","mappings":{"default":{"default":"trois points médians"}},"category":"Sm"},{"key":"22F0","mappings":{"default":{"default":"trois points diagonaux vers le coin haut à droite"}},"category":"Sm"},{"key":"22F1","mappings":{"default":{"default":"trois points diagonaux vers le coin bas à droite"}},"category":"Sm"},{"key":"22F2","mappings":{"default":{"default":"appartient à avec long trait horizontal"}},"category":"Sm"},{"key":"22F3","mappings":{"default":{"default":"appartient à avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22F4","mappings":{"default":{"default":"petit appartient à avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22F5","mappings":{"default":{"default":"appartient à avec point en chef"}},"category":"Sm"},{"key":"22F6","mappings":{"default":{"default":"appartient à avec trait en chef"}},"category":"Sm"},{"key":"22F7","mappings":{"default":{"default":"petit appartient à avec trait en chef"}},"category":"Sm"},{"key":"22F8","mappings":{"default":{"default":"appartient à avec trait souscrit"}},"category":"Sm"},{"key":"22F9","mappings":{"default":{"default":"appartient à avec deux traits horizontaux"}},"category":"Sm"},{"key":"22FA","mappings":{"default":{"default":"contient avec long trait horizontal"}},"category":"Sm"},{"key":"22FB","mappings":{"default":{"default":"contient avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22FC","mappings":{"default":{"default":"petit contient avec barre verticale au bout du trait horizontal"}},"category":"Sm"},{"key":"22FD","mappings":{"default":{"default":"contient avec trait en chef"}},"category":"Sm"},{"key":"22FE","mappings":{"default":{"default":"petit contient avec trait en chef"}},"category":"Sm"},{"key":"22FF","mappings":{"default":{"default":"appartient à un sac en notation z"}},"category":"Sm"},{"key":"2300","mappings":{"default":{"default":"diamètre"}},"category":"So"},{"key":"2302","mappings":{"default":{"default":"maison"}},"category":"So"},{"key":"2305","mappings":{"default":{"default":"projective"}},"category":"So"},{"key":"2306","mappings":{"default":{"default":"perspective"}},"category":"So"},{"category":"So","key":"2307","mappings":{"default":{"default":"ligne ondulée"}}},{"key":"2310","mappings":{"default":{"default":"négation réfléchi"}},"category":"So"},{"category":"So","key":"2311","mappings":{"default":{"default":"pastille carrée"}}},{"key":"2312","mappings":{"default":{"default":"arc"}},"category":"So"},{"key":"2313","mappings":{"default":{"default":"segment"}},"category":"So"},{"category":"So","key":"2314","mappings":{"default":{"default":"secteur"}}},{"category":"So","key":"2795","mappings":{"default":{"default":"plus gras"}}},{"category":"So","key":"2796","mappings":{"default":{"default":"moins gras"}}},{"category":"So","key":"2797","mappings":{"default":{"default":"division gras"}}},{"category":"So","key":"27B0","mappings":{"default":{"default":"boucle recourbée"}}},{"category":"So","key":"27BF","mappings":{"default":{"default":"double boucle recourbée"}}},{"key":"27C1","mappings":{"default":{"default":"petit triangle blanc inscrit dans triangle blanc"}},"category":"Sm"},{"key":"27C2","mappings":{"default":{"default":"perpendiculaire à"}},"category":"Sm"},{"key":"27C3","mappings":{"default":{"default":"sous ensemble ouvert"}},"category":"Sm"},{"key":"27C4","mappings":{"default":{"default":"sur ensemble ouvert"}},"category":"Sm"},{"key":"27C7","mappings":{"default":{"default":"ou avec point inscrit"}},"category":"Sm"},{"key":"27C8","mappings":{"default":{"default":"sous ensemble précédé d'une barre oblique inversée"}},"category":"Sm"},{"key":"27C9","mappings":{"default":{"default":"sur ensemble suivi d'une barre oblique"}},"category":"Sm"},{"key":"27CA","mappings":{"default":{"default":"barre verticale À une traverse"}},"category":"Sm"},{"category":"Sm","key":"27CB","mappings":{"default":{"default":"diagonale mathématique ascendante"}}},{"key":"27CC","mappings":{"default":{"default":"grande division"}},"category":"Sm"},{"category":"Sm","key":"27CD","mappings":{"default":{"default":"diagonale mathématique descendante"}}},{"category":"Sm","key":"27CE","mappings":{"default":{"default":"et logique encadré"}}},{"category":"Sm","key":"27CF","mappings":{"default":{"default":"ou logique encadré"}}},{"category":"Sm","key":"27D0","mappings":{"default":{"default":"losange blanc à point centré"}}},{"key":"27D1","mappings":{"default":{"default":"et pointé"}},"category":"Sm"},{"key":"27D2","mappings":{"default":{"default":"appartient À ouvert vers le haut"}},"category":"Sm"},{"key":"27D3","mappings":{"default":{"default":"coin inférieur droit pointé"}},"category":"Sm"},{"key":"27D4","mappings":{"default":{"default":"coin supérieur gauche pointé"}},"category":"Sm"},{"key":"27D5","mappings":{"default":{"default":"jointure externe gauche"}},"category":"Sm"},{"key":"27D6","mappings":{"default":{"default":"jointure externe droite"}},"category":"Sm"},{"key":"27D7","mappings":{"default":{"default":"jointure externe complète"}},"category":"Sm"},{"key":"27D8","mappings":{"default":{"default":"grand taquet vers le haut"}},"category":"Sm"},{"key":"27D9","mappings":{"default":{"default":"grand taquet vers le bas"}},"category":"Sm"},{"key":"27DA","mappings":{"default":{"default":"double tourniquet bilatéral"}},"category":"Sm"},{"key":"27DB","mappings":{"default":{"default":"tourniquet bilatéral"}},"category":"Sm"},{"key":"27DC","mappings":{"default":{"default":"multijection gauche"}},"category":"Sm"},{"key":"27DD","mappings":{"default":{"default":"long taquet droit"}},"category":"Sm"},{"key":"27DE","mappings":{"default":{"default":"long taquet gauche"}},"category":"Sm"},{"key":"27DF","mappings":{"default":{"default":"taquet vers le haut surmonté d'un cercle"}},"category":"Sm"},{"key":"27E0","mappings":{"default":{"default":"losange coupé"}},"category":"Sm"},{"key":"27E1","mappings":{"default":{"default":"losange concave blanc"}},"category":"Sm"},{"key":"27E2","mappings":{"default":{"default":"losange concave blanc avec trait à gauche"}},"category":"Sm"},{"key":"27E3","mappings":{"default":{"default":"losange concave blanc avec trait à droite"}},"category":"Sm"},{"key":"27E4","mappings":{"default":{"default":"carré blanc avec trait à gauche"}},"category":"Sm"},{"key":"27E5","mappings":{"default":{"default":"carré blanc avec trait à droite"}},"category":"Sm"},{"category":"Sm","key":"292B","mappings":{"default":{"default":"diagonale montante sur diagonale descendante"}}},{"category":"Sm","key":"292C","mappings":{"default":{"default":"diagonale descendante sur diagonale montante"}}},{"category":"Sm","key":"2980","mappings":{"default":{"default":"délimiteur triple barre verticale"}}},{"category":"Sm","key":"2981","mappings":{"default":{"default":"boulet"}}},{"category":"Sm","key":"2982","mappings":{"default":{"default":"deux points de la notation z"}}},{"category":"Sm","key":"2999","mappings":{"default":{"default":"clôture pointillée"}}},{"key":"299A","mappings":{"default":{"default":"ligne verticale en zigzag"}},"category":"Sm"},{"key":"29B0","mappings":{"default":{"default":"ensemble vide réfléchi"}},"category":"Sm"},{"key":"29B1","mappings":{"default":{"default":"ensemble vide barre en chef"}},"category":"Sm"},{"key":"29B2","mappings":{"default":{"default":"ensemble vide petit cercle en chef"}},"category":"Sm"},{"key":"29B5","mappings":{"default":{"default":"cercle à barre horizontale"}},"category":"Sm"},{"key":"29B6","mappings":{"default":{"default":"barre verticale cerclée"}},"category":"Sm"},{"key":"29B7","mappings":{"default":{"default":"parallèles cerclées"}},"category":"Sm"},{"category":"Sm","key":"29B8","mappings":{"default":{"default":"barre oblique inversée cerclée"}}},{"key":"29B9","mappings":{"default":{"default":"perpendiculaire cerclé"}},"category":"Sm"},{"category":"Sm","key":"29BA","mappings":{"default":{"default":"cercle divisé par une barre horizontale et une barre verticale dans la moitié supérieure"}}},{"key":"29BB","mappings":{"default":{"default":"cercle superposé d'un x"}},"category":"Sm"},{"key":"29BC","mappings":{"default":{"default":"division pivoté en sens antihoraire cerclé"}},"category":"Sm"},{"key":"29BE","mappings":{"default":{"default":"puce blanche cerclée"}},"category":"Sm"},{"key":"29BF","mappings":{"default":{"default":"puce cerclée"}},"category":"Sm"},{"key":"29C0","mappings":{"default":{"default":"inférieur à cerclé"}},"category":"Sm"},{"key":"29C1","mappings":{"default":{"default":"supérieur à cerclé"}},"category":"Sm"},{"key":"29C2","mappings":{"default":{"default":"cercle avec petit cercle à droite"}},"category":"Sm"},{"key":"29C3","mappings":{"default":{"default":"cercle avec deux petits traits horizontaux à droite"}},"category":"Sm"},{"key":"29C4","mappings":{"default":{"default":"oblique encadrée"}},"category":"Sm"},{"key":"29C5","mappings":{"default":{"default":"oblique inversée encadrée"}},"category":"Sm"},{"category":"Sm","key":"29C6","mappings":{"default":{"default":"astérisque encadré"}}},{"category":"Sm","key":"29C7","mappings":{"default":{"default":"petite cercle encadré"}}},{"category":"Sm","key":"29C8","mappings":{"default":{"default":"carré encadré"}}},{"key":"29C9","mappings":{"default":{"default":"carrés se chevauchant"}},"category":"Sm"},{"category":"Sm","key":"29CA","mappings":{"default":{"default":"triangle pointé en chef"}}},{"category":"Sm","key":"29CB","mappings":{"default":{"default":"triangle à barre souscrite"}}},{"category":"Sm","key":"29CC","mappings":{"default":{"default":"s inscrit dans triangle"}}},{"key":"29CD","mappings":{"default":{"default":"triangle à empattements inférieurs"}},"category":"Sm"},{"key":"29CE","mappings":{"default":{"default":"triangle droit par dessus triangle gauche"}},"category":"Sm"},{"key":"29CF","mappings":{"default":{"default":"triangle gauche à gauche d'une barre verticale"}},"category":"Sm"},{"key":"29D0","mappings":{"default":{"default":"triangle droit à droite d'une barre verticale"}},"category":"Sm"},{"category":"Sm","key":"29D1","mappings":{"default":{"default":"nœud papillon à aile gauche noire"}}},{"category":"Sm","key":"29D2","mappings":{"default":{"default":"nœud papillon à aile droite noire"}}},{"category":"Sm","key":"29D3","mappings":{"default":{"default":"nœud papillon noir"}}},{"category":"Sm","key":"29D4","mappings":{"default":{"default":"multiplication à moitié gauche noircie"}}},{"category":"Sm","key":"29D5","mappings":{"default":{"default":"multiplication à moitié droite noircie"}}},{"category":"Sm","key":"29D6","mappings":{"default":{"default":"sablier blanc"}}},{"category":"Sm","key":"29D7","mappings":{"default":{"default":"sablier noir"}}},{"key":"29DC","mappings":{"default":{"default":"infini incomplet"}},"category":"Sm"},{"category":"Sm","key":"29DD","mappings":{"default":{"default":"lorgnon"}}},{"key":"29DE","mappings":{"default":{"default":"infini nié par une barre verticale"}},"category":"Sm"},{"category":"Sm","key":"29DF","mappings":{"default":{"default":"multijection à deux têtes"}}},{"category":"Sm","key":"29E0","mappings":{"default":{"default":"carré ombré"}}},{"category":"Sm","key":"29E1","mappings":{"default":{"default":"augmente avec"}}},{"category":"Sm","key":"29E2","mappings":{"default":{"default":"produit de permutation"}}},{"key":"29E3","mappings":{"default":{"default":"égale à et parallèle à incliné"}},"category":"Sm"},{"key":"29E4","mappings":{"default":{"default":"égale à et parallèle à incliné surmontés d'un tilde"}},"category":"Sm"},{"key":"29E5","mappings":{"default":{"default":"identique à et parallèle à incliné"}},"category":"Sm"},{"category":"Sm","key":"29E6","mappings":{"default":{"default":"gleich stark"}}},{"category":"Sm","key":"29E7","mappings":{"default":{"default":"thermodynamique"}}},{"category":"Sm","key":"29E8","mappings":{"default":{"default":"triangle pointe vers le bas à moitié gauche noire"}}},{"category":"Sm","key":"29E9","mappings":{"default":{"default":"triangle pointe vers le bas à moitié droite noire"}}},{"key":"29EB","mappings":{"default":{"default":"losange fuselé noir"}},"category":"Sm"},{"category":"Sm","key":"29EE","mappings":{"default":{"default":"barre d'erreur à carré blanc"}}},{"category":"Sm","key":"29EF","mappings":{"default":{"default":"barre d'erreur à carré noir"}}},{"category":"Sm","key":"29F0","mappings":{"default":{"default":"barre d'erreur à losange blanc"}}},{"category":"Sm","key":"29F1","mappings":{"default":{"default":"barre d'erreur à losange noir"}}},{"category":"Sm","key":"29F2","mappings":{"default":{"default":"barre d'erreur à cercle blanc"}}},{"category":"Sm","key":"29F3","mappings":{"default":{"default":"barre d'erreur à cercle noir"}}},{"key":"29F4","mappings":{"default":{"default":"règle différée"}},"category":"Sm"},{"category":"Sm","key":"29F5","mappings":{"default":{"default":"opérateur barre oblique inversée"}}},{"key":"29F6","mappings":{"default":{"default":"barre oblique avec barre en chef"}},"category":"Sm"},{"category":"Sm","key":"29F7","mappings":{"default":{"default":"barre oblique inversée à traverse horizontale"}}},{"category":"Sm","key":"29F8","mappings":{"default":{"default":"grande barre oblique"}}},{"category":"Sm","key":"29F9","mappings":{"default":{"default":"grande barre oblique inversée"}}},{"category":"Sm","key":"29FA","mappings":{"default":{"default":"double plus"}}},{"category":"Sm","key":"29FB","mappings":{"default":{"default":"triple plus"}}},{"category":"Sm","key":"29FE","mappings":{"default":{"default":"tiny"}}},{"category":"Sm","key":"29FF","mappings":{"default":{"default":"miny"}}},{"category":"Sm","key":"2A00","mappings":{"default":{"default":"opérateur point cerclé n aire"}}},{"category":"Sm","key":"2A01","mappings":{"default":{"default":"opérateur plus cerclé n aire"}}},{"category":"Sm","key":"2A02","mappings":{"default":{"default":"opérateur multiplié par cerclé n aire"}}},{"category":"Sm","key":"2A03","mappings":{"default":{"default":"opérateur union n aire pointé"}}},{"category":"Sm","key":"2A04","mappings":{"default":{"default":"opérateur union n aire avec plus"}}},{"category":"Sm","key":"2A05","mappings":{"default":{"default":"opérateur intersection carré n aire"}}},{"category":"Sm","key":"2A06","mappings":{"default":{"default":"opérateur union carré n aire"}}},{"category":"Sm","key":"2A07","mappings":{"default":{"default":"opérateur deux et logiques"}}},{"category":"Sm","key":"2A08","mappings":{"default":{"default":"opérateur deux ou logiques"}}},{"category":"Sm","key":"2A09","mappings":{"default":{"default":"opérateur multiplié par n aire"}}},{"category":"Sm","key":"2A0A","mappings":{"default":{"default":"sommation modulo deux"}}},{"category":"Sm","key":"2A0B","mappings":{"default":{"default":"sommation avec intégrale"}}},{"key":"2A0C","mappings":{"default":{"default":"intégrale quadruple"}},"category":"Sm"},{"key":"2A0D","mappings":{"default":{"default":"intégrale à partie finie"}},"category":"Sm"},{"category":"Sm","key":"2A0E","mappings":{"default":{"default":"intégrale à deux barres horizontales"}}},{"category":"Sm","key":"2A0F","mappings":{"default":{"default":"moyenne d'intégrale à barre oblique inversée"}}},{"key":"2A10","mappings":{"default":{"default":"fonction de circulation"}},"category":"Sm"},{"key":"2A11","mappings":{"default":{"default":"intégrale en sens positif"}},"category":"Sm"},{"key":"2A12","mappings":{"default":{"default":"intégrale de ligne à chemin rectangulaire autour du pôle"}},"category":"Sm"},{"key":"2A13","mappings":{"default":{"default":"intégrale de ligne à chemin semi circulaire autour du pôle"}},"category":"Sm"},{"key":"2A14","mappings":{"default":{"default":"intégrale de ligne évitant le pôle"}},"category":"Sm"},{"key":"2A15","mappings":{"default":{"default":"intégrale autour d'un opérateur point"}},"category":"Sm"},{"key":"2A16","mappings":{"default":{"default":"intégrale quaternion"}},"category":"Sm"},{"category":"Sm","key":"2A18","mappings":{"default":{"default":"intégrale au signe multiplié par"}}},{"category":"Sm","key":"2A19","mappings":{"default":{"default":"intégrale à signe intersection"}}},{"category":"Sm","key":"2A1A","mappings":{"default":{"default":"intégrale à signe union"}}},{"category":"Sm","key":"2A1B","mappings":{"default":{"default":"intégrale à barre en chef"}}},{"category":"Sm","key":"2A1C","mappings":{"default":{"default":"intégrale à barre souscrite"}}},{"category":"Sm","key":"2A1D","mappings":{"default":{"default":"jointure"}}},{"category":"Sm","key":"2A1E","mappings":{"default":{"default":"gros opérateur triangle gauche"}}},{"category":"Sm","key":"2A1F","mappings":{"default":{"default":"composition de schémas en notation z"}}},{"category":"Sm","key":"2A20","mappings":{"default":{"default":"tubage de schémas en notation z"}}},{"category":"Sm","key":"2A21","mappings":{"default":{"default":"projection de schémas en notation z"}}},{"key":"2A22","mappings":{"default":{"default":"plus surmonté d'un petit cercle"}},"category":"Sm"},{"key":"2A23","mappings":{"default":{"default":"plus surmonté d'un circonflexe"}},"category":"Sm"},{"key":"2A24","mappings":{"default":{"default":"plus surmonté d'un tilde"}},"category":"Sm"},{"key":"2A25","mappings":{"default":{"default":"plus à point souscrit"}},"category":"Sm"},{"key":"2A26","mappings":{"default":{"default":"plus à tilde souscrit"}},"category":"Sm"},{"key":"2A27","mappings":{"default":{"default":"plus à chiffre deux souscrit"}},"category":"Sm"},{"category":"Sm","key":"2A28","mappings":{"default":{"default":"plus à triangle noir"}}},{"key":"2A29","mappings":{"default":{"default":"moins surmonté d'une virgule"}},"category":"Sm"},{"key":"2A2A","mappings":{"default":{"default":"moins à point souscrit"}},"category":"Sm"},{"category":"Sm","key":"2A2B","mappings":{"default":{"default":"moins à points descendants"}}},{"category":"Sm","key":"2A2C","mappings":{"default":{"default":"moins à points ascendants"}}},{"key":"2A2D","mappings":{"default":{"default":"plus dans demi cercle gauche"}},"category":"Sm"},{"key":"2A2E","mappings":{"default":{"default":"plus dans demi cercle droit"}},"category":"Sm"},{"key":"2A2F","mappings":{"default":{"default":"produit vectoriel"}},"category":"Sm"},{"key":"2A30","mappings":{"default":{"default":"multiplication à point en chef"}},"category":"Sm"},{"key":"2A31","mappings":{"default":{"default":"multiplication à barre souscrite"}},"category":"Sm"},{"category":"Sm","key":"2A32","mappings":{"default":{"default":"produit semi direct fermé en bas"}}},{"key":"2A33","mappings":{"default":{"default":"produit fusionné"}},"category":"Sm"},{"key":"2A34","mappings":{"default":{"default":"multiplication dans demi cercle gauche"}},"category":"Sm"},{"key":"2A35","mappings":{"default":{"default":"multiplication dans demi cercle droit"}},"category":"Sm"},{"key":"2A36","mappings":{"default":{"default":"multiplication cerclé circonflexe"}},"category":"Sm"},{"key":"2A37","mappings":{"default":{"default":"multiplication doublement cerclé"}},"category":"Sm"},{"key":"2A38","mappings":{"default":{"default":"division cerclé"}},"category":"Sm"},{"key":"2A39","mappings":{"default":{"default":"plus dans triangle"}},"category":"Sm"},{"key":"2A3A","mappings":{"default":{"default":"moins dans triangle"}},"category":"Sm"},{"key":"2A3B","mappings":{"default":{"default":"multiplication dans triangle"}},"category":"Sm"},{"key":"2A3C","mappings":{"default":{"default":"produit interieur"}},"category":"Sm"},{"category":"Sm","key":"2A3D","mappings":{"default":{"default":"produit intérieur à droite"}}},{"category":"Sm","key":"2A3E","mappings":{"default":{"default":"composition relationnelle en notation z"}}},{"key":"2A3F","mappings":{"default":{"default":"amalgamation ou coproduit"}},"category":"Sm"},{"key":"2A40","mappings":{"default":{"default":"intersection pointée"}},"category":"Sm"},{"category":"Sm","key":"2A41","mappings":{"default":{"default":"union à signe moins"}}},{"key":"2A42","mappings":{"default":{"default":"union à barre en chef"}},"category":"Sm"},{"key":"2A43","mappings":{"default":{"default":"intersection à barre en chef"}},"category":"Sm"},{"key":"2A44","mappings":{"default":{"default":"intersection avec et logique"}},"category":"Sm"},{"key":"2A45","mappings":{"default":{"default":"union avec ou logique"}},"category":"Sm"},{"key":"2A46","mappings":{"default":{"default":"union par dessus intersection"}},"category":"Sm"},{"key":"2A47","mappings":{"default":{"default":"intersection par dessus union"}},"category":"Sm"},{"key":"2A48","mappings":{"default":{"default":"union par dessus bar par dessus intersection"}},"category":"Sm"},{"key":"2A49","mappings":{"default":{"default":"intersection par dessus trait par dessus union"}},"category":"Sm"},{"key":"2A4A","mappings":{"default":{"default":"deux unions soudées côte à côte"}},"category":"Sm"},{"key":"2A4B","mappings":{"default":{"default":"deux intersections soudées côte à côte"}},"category":"Sm"},{"key":"2A4C","mappings":{"default":{"default":"union fermée à empattements"}},"category":"Sm"},{"key":"2A4D","mappings":{"default":{"default":"intersection fermée à empattements"}},"category":"Sm"},{"category":"Sm","key":"2A4E","mappings":{"default":{"default":"deux intersections carrées emboîtées"}}},{"category":"Sm","key":"2A4F","mappings":{"default":{"default":"deux unions carrées emboîtées"}}},{"key":"2A50","mappings":{"default":{"default":"union fermée à empattements et produit fusionné"}},"category":"Sm"},{"category":"Sm","key":"2A51","mappings":{"default":{"default":"et logique à point en chef"}}},{"category":"Sm","key":"2A52","mappings":{"default":{"default":"ou logique à point en chef"}}},{"key":"2A53","mappings":{"default":{"default":"double et logique"}},"category":"Sm"},{"key":"2A54","mappings":{"default":{"default":"double ou logique"}},"category":"Sm"},{"key":"2A55","mappings":{"default":{"default":"deux et logiques entrecroisés"}},"category":"Sm"},{"key":"2A56","mappings":{"default":{"default":"deux ou logiques entrecroisés"}},"category":"Sm"},{"key":"2A57","mappings":{"default":{"default":"grand ou pentu"}},"category":"Sm"},{"key":"2A58","mappings":{"default":{"default":"grand et pentu"}},"category":"Sm"},{"category":"Sm","key":"2A59","mappings":{"default":{"default":"et et ou logiques entrecroisés"}}},{"key":"2A5A","mappings":{"default":{"default":"et logique à hampe médiane"}},"category":"Sm"},{"key":"2A5B","mappings":{"default":{"default":"ou logique à hampe médiane"}},"category":"Sm"},{"key":"2A5C","mappings":{"default":{"default":"et logique à tiret horizontal"}},"category":"Sm"},{"key":"2A5D","mappings":{"default":{"default":"ou logique à tiret horizontal"}},"category":"Sm"},{"category":"Sm","key":"2A5E","mappings":{"default":{"default":"et logique à deux barres en chef"}}},{"key":"2A5F","mappings":{"default":{"default":"et logique à barre souscrite"}},"category":"Sm"},{"category":"Sm","key":"2A60","mappings":{"default":{"default":"et logique à deux barres souscrites"}}},{"category":"Sm","key":"2A61","mappings":{"default":{"default":"petit v à barre souscrite"}}},{"category":"Sm","key":"2A62","mappings":{"default":{"default":"ou logique à deux barres en chef"}}},{"category":"Sm","key":"2A63","mappings":{"default":{"default":"ou logique à deux barres souscrites"}}},{"category":"Sm","key":"2A64","mappings":{"default":{"default":"antirestriction de domaine en notation z"}}},{"category":"Sm","key":"2A65","mappings":{"default":{"default":"antirestriction de codomaine en notation z"}}},{"key":"2A66","mappings":{"default":{"default":"égal point souscrit"}},"category":"Sm"},{"category":"Sm","key":"2A67","mappings":{"default":{"default":"identique à surmonté d'un point"}}},{"category":"Sm","key":"2A68","mappings":{"default":{"default":"deux barres verticales à trois traverses"}}},{"category":"Sm","key":"2A69","mappings":{"default":{"default":"trois barres verticales à trois traverses"}}},{"key":"2A6A","mappings":{"default":{"default":"opérateur tilde point en chef"}},"category":"Sm"},{"category":"Sm","key":"2A6B","mappings":{"default":{"default":"opérateur tilde à points ascendants"}}},{"category":"Sm","key":"2A6C","mappings":{"default":{"default":"similaire à moins similaire à"}}},{"key":"2A6D","mappings":{"default":{"default":"congruent point en chef"}},"category":"Sm"},{"category":"Sm","key":"2A6E","mappings":{"default":{"default":"Égal astérisque en chef"}}},{"key":"2A6F","mappings":{"default":{"default":"presque égal à circonflexe"}},"category":"Sm"},{"category":"Sm","key":"2A70","mappings":{"default":{"default":"approximativement égal à ou égal à"}}},{"key":"2A71","mappings":{"default":{"default":"plus signe égal en chef"}},"category":"Sm"},{"key":"2A72","mappings":{"default":{"default":"égal à signe plus en chef"}},"category":"Sm"},{"key":"2A73","mappings":{"default":{"default":"tilde signe égal en chef"}},"category":"Sm"},{"key":"2A74","mappings":{"default":{"default":"double deux points égal à"}},"category":"Sm"},{"key":"2A75","mappings":{"default":{"default":"deux signes égal à consécutifs"}},"category":"Sm"},{"category":"Sm","key":"2A76","mappings":{"default":{"default":"trois signes égal à consécutifs"}}},{"key":"2A77","mappings":{"default":{"default":"égal à deux points en chef deux points souscrits"}},"category":"Sm"},{"key":"2A78","mappings":{"default":{"default":"équivalent quatre points en chef"}},"category":"Sm"},{"key":"2A79","mappings":{"default":{"default":"inférieur à avec cercle inscrit"}},"category":"Sm"},{"key":"2A7A","mappings":{"default":{"default":"supérieur à avec cercle inscrit"}},"category":"Sm"},{"key":"2A7B","mappings":{"default":{"default":"inférieur à point d'interrogation en chef"}},"category":"Sm"},{"key":"2A7C","mappings":{"default":{"default":"supérieur à point d'interrogation en chef"}},"category":"Sm"},{"key":"2A7D","mappings":{"default":{"default":"plus petit ou égal à pentu"}},"category":"Sm"},{"key":"2A7E","mappings":{"default":{"default":"supérieur à ou égal à pentu"}},"category":"Sm"},{"key":"2A7F","mappings":{"default":{"default":"inférieur à ou égal à pentu point inscrit"}},"category":"Sm"},{"key":"2A80","mappings":{"default":{"default":"supérieur à ou égal à pentu point inscrit"}},"category":"Sm"},{"key":"2A81","mappings":{"default":{"default":"inférieur à ou égal à pentu point en chef"}},"category":"Sm"},{"key":"2A82","mappings":{"default":{"default":"supérieur à ou égal à pentu point en chef"}},"category":"Sm"},{"key":"2A83","mappings":{"default":{"default":"inférieur à ou égal à pentu point en chef droit"}},"category":"Sm"},{"key":"2A84","mappings":{"default":{"default":"supérieur à ou égal à pentu point en chef gauche"}},"category":"Sm"},{"category":"Sm","key":"2A85","mappings":{"default":{"default":"inférieur à ou approximatif"}}},{"category":"Sm","key":"2A86","mappings":{"default":{"default":"supérieur à ou approximatif"}}},{"category":"Sm","key":"2A87","mappings":{"default":{"default":"inférieur à et pas égal à une ligne"}}},{"category":"Sm","key":"2A88","mappings":{"default":{"default":"supérieur à et pas égal à une ligne"}}},{"key":"2A89","mappings":{"default":{"default":"inférieur à et non approximatif"}},"category":"Sm"},{"key":"2A8A","mappings":{"default":{"default":"supérieur à et non approximatif"}},"category":"Sm"},{"category":"Sm","key":"2A8B","mappings":{"default":{"default":"inférieur à par dessus égal à deux lignes par dessus supérieur à"}}},{"category":"Sm","key":"2A8C","mappings":{"default":{"default":"supérieur à par dessus égal à deux lignes par dessus inférieur à"}}},{"key":"2A8D","mappings":{"default":{"default":"inférieur à par dessus similaire à ou égal à"}},"category":"Sm"},{"key":"2A8E","mappings":{"default":{"default":"supérieur à par dessus similaire à ou égal à"}},"category":"Sm"},{"key":"2A8F","mappings":{"default":{"default":"inférieur à par dessus similaire à par dessus supérieur à"}},"category":"Sm"},{"key":"2A90","mappings":{"default":{"default":"supérieur à par dessus similaire à par dessus inférieur à"}},"category":"Sm"},{"key":"2A91","mappings":{"default":{"default":"inférieur à par dessus supérieur à par dessus égal à deux lignes"}},"category":"Sm"},{"key":"2A92","mappings":{"default":{"default":"supérieur à par dessus inférieur à par dessus égal à deux lignes"}},"category":"Sm"},{"key":"2A93","mappings":{"default":{"default":"inférieur à par dessus égal à pentu par dessus supérieur à par dessus égal à pentu"}},"category":"Sm"},{"key":"2A94","mappings":{"default":{"default":"supérieur à par dessus égal à pentu par dessus inférieur à par dessus égal à pentu"}},"category":"Sm"},{"category":"Sm","key":"2A95","mappings":{"default":{"default":"Égal à incliné ou inférieur à"}}},{"category":"Sm","key":"2A96","mappings":{"default":{"default":"Égal à incliné ou supérieur à"}}},{"key":"2A97","mappings":{"default":{"default":"égal à pentu ou inférieur à point inscrit"}},"category":"Sm"},{"key":"2A98","mappings":{"default":{"default":"égal à pentu ou supérieur à point inscrit"}},"category":"Sm"},{"key":"2A99","mappings":{"default":{"default":"égal à deux lignes ou inférieur à"}},"category":"Sm"},{"key":"2A9A","mappings":{"default":{"default":"égal à deux lignes ou supérieur à"}},"category":"Sm"},{"category":"Sm","key":"2A9B","mappings":{"default":{"default":"inférieur à ou égal à à deux lignes inclinées"}}},{"category":"Sm","key":"2A9C","mappings":{"default":{"default":"supérieur à ou égal à à deux lignes inclinées"}}},{"key":"2A9D","mappings":{"default":{"default":"similaire à ou inférieur à"}},"category":"Sm"},{"key":"2A9E","mappings":{"default":{"default":"similaire à ou supérieur à"}},"category":"Sm"},{"key":"2A9F","mappings":{"default":{"default":"similaire à par dessus inférieur à par dessus signe égal"}},"category":"Sm"},{"key":"2AA0","mappings":{"default":{"default":"similaire à par dessus supérieur à par dessus signe égal"}},"category":"Sm"},{"key":"2AA1","mappings":{"default":{"default":"deux inférieur à emboîtés"}},"category":"Sm"},{"key":"2AA2","mappings":{"default":{"default":"deux supérieur à emboîtés"}},"category":"Sm"},{"category":"Sm","key":"2AA3","mappings":{"default":{"default":"deux inférieur à emboîtés avec barre souscrite"}}},{"key":"2AA4","mappings":{"default":{"default":"deux supérieur à entrecroisés"}},"category":"Sm"},{"key":"2AA5","mappings":{"default":{"default":"supérieur à à côté de inférieur à"}},"category":"Sm"},{"key":"2AA6","mappings":{"default":{"default":"inférieur à fermé d'un arc"}},"category":"Sm"},{"key":"2AA7","mappings":{"default":{"default":"supérieur à fermé d'un arc"}},"category":"Sm"},{"key":"2AA8","mappings":{"default":{"default":"inférieur à fermé d'un arc par dessus égal à pentu"}},"category":"Sm"},{"key":"2AA9","mappings":{"default":{"default":"supérieur à fermé d'un arc par dessus égal à pentu"}},"category":"Sm"},{"key":"2AAA","mappings":{"default":{"default":"plus petit que en fourche"}},"category":"Sm"},{"key":"2AAB","mappings":{"default":{"default":"plus grand que en fourche"}},"category":"Sm"},{"key":"2AAC","mappings":{"default":{"default":"plus petit ou égal que en fourche"}},"category":"Sm"},{"key":"2AAD","mappings":{"default":{"default":"plus grand ou égal que en fourche"}},"category":"Sm"},{"key":"2AAE","mappings":{"default":{"default":"égal et dos d'âne"}},"category":"Sm"},{"key":"2AAF","mappings":{"default":{"default":"précède par dessus signe égal à une ligne"}},"category":"Sm"},{"category":"Sm","key":"2AB0","mappings":{"default":{"default":"suit par dessus signe égal à une ligne"}}},{"category":"Sm","key":"2AB1","mappings":{"default":{"default":"précède par dessus pas égal à une ligne"}}},{"category":"Sm","key":"2AB2","mappings":{"default":{"default":"suit par dessus pas égal à une ligne"}}},{"category":"Sm","key":"2AB3","mappings":{"default":{"default":"précède par dessus signe égal"}}},{"category":"Sm","key":"2AB4","mappings":{"default":{"default":"suit par dessus signe égal"}}},{"key":"2AB5","mappings":{"default":{"default":"précède par dessus pas égal à"}},"category":"Sm"},{"key":"2AB6","mappings":{"default":{"default":"suit par dessus pas égal à"}},"category":"Sm"},{"category":"Sm","key":"2AB7","mappings":{"default":{"default":"précède par dessus presque égal à"}}},{"category":"Sm","key":"2AB8","mappings":{"default":{"default":"suit par dessus presque égal à"}}},{"category":"Sm","key":"2AB9","mappings":{"default":{"default":"précède par dessus non presque égal à"}}},{"category":"Sm","key":"2ABA","mappings":{"default":{"default":"suit par dessus non presque égal à"}}},{"key":"2ABB","mappings":{"default":{"default":"double précède"}},"category":"Sm"},{"key":"2ABC","mappings":{"default":{"default":"double suit"}},"category":"Sm"},{"key":"2ABD","mappings":{"default":{"default":"sous ensemble pointé"}},"category":"Sm"},{"key":"2ABE","mappings":{"default":{"default":"sur ensemble pointé"}},"category":"Sm"},{"key":"2ABF","mappings":{"default":{"default":"sous ensemble plus souscrit"}},"category":"Sm"},{"key":"2AC0","mappings":{"default":{"default":"sur ensemble plus souscrit"}},"category":"Sm"},{"key":"2AC1","mappings":{"default":{"default":"sous ensemble à signe de multiplication souscrit"}},"category":"Sm"},{"key":"2AC2","mappings":{"default":{"default":"sur ensemble à signe de multiplication souscrit"}},"category":"Sm"},{"key":"2AC3","mappings":{"default":{"default":"sous ensemble de ou égal à point en chef"}},"category":"Sm"},{"key":"2AC4","mappings":{"default":{"default":"sur ensemble de ou égal à point en chef"}},"category":"Sm"},{"category":"Sm","key":"2AC5","mappings":{"default":{"default":"sous ensemble de par dessus signe égal"}}},{"category":"Sm","key":"2AC6","mappings":{"default":{"default":"sur ensemble de par dessus signe égal"}}},{"key":"2AC7","mappings":{"default":{"default":"sous ensemble de par dessus opérateur tilde"}},"category":"Sm"},{"key":"2AC8","mappings":{"default":{"default":"sur ensemble de par dessus opérateur tilde"}},"category":"Sm"},{"category":"Sm","key":"2AC9","mappings":{"default":{"default":"sous ensemble de par dessus presque égal à"}}},{"category":"Sm","key":"2ACA","mappings":{"default":{"default":"sur ensemble de par dessus presque égal à"}}},{"category":"Sm","key":"2ACB","mappings":{"default":{"default":"sous ensemble de par dessus pas égal à"}}},{"category":"Sm","key":"2ACC","mappings":{"default":{"default":"sur ensemble de par dessus pas égal à"}}},{"category":"Sm","key":"2ACD","mappings":{"default":{"default":"opérateur boîte carrée ouverte gauche"}}},{"category":"Sm","key":"2ACE","mappings":{"default":{"default":"opérateur boîte carrée ouverte droite"}}},{"key":"2ACF","mappings":{"default":{"default":"sous ensemble clos"}},"category":"Sm"},{"key":"2AD0","mappings":{"default":{"default":"sur ensemble clos"}},"category":"Sm"},{"key":"2AD1","mappings":{"default":{"default":"sous ensemble clos ou égal à"}},"category":"Sm"},{"key":"2AD2","mappings":{"default":{"default":"sur ensemble clos ou égal à"}},"category":"Sm"},{"key":"2AD3","mappings":{"default":{"default":"sous ensemble par dessus sur ensemble"}},"category":"Sm"},{"key":"2AD4","mappings":{"default":{"default":"sur ensemble par dessus sous ensemble"}},"category":"Sm"},{"key":"2AD5","mappings":{"default":{"default":"sous ensemble par dessus sous ensemble"}},"category":"Sm"},{"key":"2AD6","mappings":{"default":{"default":"sur ensemble par dessus sur ensemble"}},"category":"Sm"},{"key":"2AD7","mappings":{"default":{"default":"sur ensemble à côté de sous ensemble"}},"category":"Sm"},{"key":"2AD8","mappings":{"default":{"default":"sur ensemble chaîné à sous ensemble"}},"category":"Sm"},{"key":"2AD9","mappings":{"default":{"default":"appartient à ouvert vers le bas"}},"category":"Sm"},{"key":"2ADA","mappings":{"default":{"default":"fourche surmontée d'un t"}},"category":"Sm"},{"key":"2ADB","mappings":{"default":{"default":"intersection transversale"}},"category":"Sm"},{"category":"Sm","key":"2ADC","mappings":{"default":{"default":"bifurcation (non indépendant)"}}},{"category":"Sm","key":"2ADD","mappings":{"default":{"default":"non bifurcation (indépendant)"}}},{"category":"Sm","key":"2ADE","mappings":{"default":{"default":"taquet gauche court"}}},{"category":"Sm","key":"2ADF","mappings":{"default":{"default":"taquet court vers le bas"}}},{"category":"Sm","key":"2AE0","mappings":{"default":{"default":"taquet court vers le haut"}}},{"category":"Sm","key":"2AE1","mappings":{"default":{"default":"perpendiculaire à s"}}},{"category":"Sm","key":"2AE2","mappings":{"default":{"default":"triple tourniquet droit à barre verticale"}}},{"category":"Sm","key":"2AE3","mappings":{"default":{"default":"tourniquet gauche à double barre verticale"}}},{"key":"2AE4","mappings":{"default":{"default":"double tourniquet gauche à barre verticale"}},"category":"Sm"},{"category":"Sm","key":"2AE5","mappings":{"default":{"default":"double tourniquet gauche à double barre verticale"}}},{"key":"2AE6","mappings":{"default":{"default":"double barre verticale gauche à traverse"}},"category":"Sm"},{"key":"2AE7","mappings":{"default":{"default":"taquet court vers le bas avec barre en chef"}},"category":"Sm"},{"key":"2AE8","mappings":{"default":{"default":"taquet court vers le haut avec barre souscrite"}},"category":"Sm"},{"key":"2AE9","mappings":{"default":{"default":"taquet court vers le haut par dessus taquet court vers le bas"}},"category":"Sm"},{"category":"Sm","key":"2AEA","mappings":{"default":{"default":"double taquet vers le bas"}}},{"key":"2AEB","mappings":{"default":{"default":"double taquet vers le haut"}},"category":"Sm"},{"key":"2AEC","mappings":{"default":{"default":"négation à deux traits"}},"category":"Sm"},{"key":"2AED","mappings":{"default":{"default":"négation à deux traits réfléchi"}},"category":"Sm"},{"key":"2AEE","mappings":{"default":{"default":"n'est pas un diviseur de à barre de négation réfléchie"}},"category":"Sm"},{"key":"2AEF","mappings":{"default":{"default":"ligne verticale cercle en chef"}},"category":"Sm"},{"key":"2AF0","mappings":{"default":{"default":"ligne verticale cercle souscrit"}},"category":"Sm"},{"key":"2AF1","mappings":{"default":{"default":"taquet vers le bas surmontant un cercle"}},"category":"Sm"},{"key":"2AF2","mappings":{"default":{"default":"parallèlle à vertical à une traverse"}},"category":"Sm"},{"key":"2AF3","mappings":{"default":{"default":"parallèle à avec opérateur tilde"}},"category":"Sm"},{"category":"Sm","key":"2AF4","mappings":{"default":{"default":"relation binaire triple barre verticale"}}},{"category":"Sm","key":"2AF5","mappings":{"default":{"default":"triple barre verticale à une traverse"}}},{"category":"Sm","key":"2AF6","mappings":{"default":{"default":"opérateur trois points"}}},{"category":"Sm","key":"2AF7","mappings":{"default":{"default":"trois inférieur à emboîtés"}}},{"category":"Sm","key":"2AF8","mappings":{"default":{"default":"trois supérieur à emboîtés"}}},{"category":"Sm","key":"2AF9","mappings":{"default":{"default":"inférieur à ou égal à et deux lignes inclinées"}}},{"category":"Sm","key":"2AFA","mappings":{"default":{"default":"supérieur à ou égal à et deux lignes inclinées"}}},{"category":"Sm","key":"2AFB","mappings":{"default":{"default":"relation binaire triple oblique"}}},{"category":"Sm","key":"2AFC","mappings":{"default":{"default":"grand opérateur à trois barres verticales"}}},{"category":"Sm","key":"2AFD","mappings":{"default":{"default":"opérateur double oblique"}}},{"category":"Sm","key":"2AFE","mappings":{"default":{"default":"barre verticale blanche"}}},{"category":"Sm","key":"2AFF","mappings":{"default":{"default":"barre verticale blanche n aire"}}},{"category":"Pd","key":"301C","mappings":{"default":{"default":"trait d'union en esse"}}},{"category":"Po","key":"FE10","mappings":{"default":{"default":"forme de présentation de virgule verticale"}}},{"category":"Po","key":"FE13","mappings":{"default":{"default":"forme de présentation de deux points vertical"}}},{"category":"Po","key":"FE14","mappings":{"default":{"default":"forme de présentation de point virgule vertical"}}},{"category":"Po","key":"FE15","mappings":{"default":{"default":"forme de présentation de point d'exclamation vertical"}}},{"category":"Po","key":"FE16","mappings":{"default":{"default":"forme de présentation de point d'interrogation vertical"}}},{"category":"Po","key":"FE19","mappings":{"default":{"default":"forme de présentation de points de suspension verticaux"}}},{"category":"Po","key":"FE30","mappings":{"default":{"default":"forme de présentation de point de conduite double vertical"}}},{"category":"Pd","key":"FE31","mappings":{"default":{"default":"forme de présentation de tiret cadratin vertical"}}},{"category":"Pd","key":"FE32","mappings":{"default":{"default":"forme de présentation de tiret demi cadratin vertical"}}},{"category":"Pc","key":"FE33","mappings":{"default":{"default":"forme de présentation de tiret bas vertical"}}},{"category":"Pc","key":"FE34","mappings":{"default":{"default":"forme de présentation de tiret bas ondulé vertical"}}},{"category":"Po","key":"FE45","mappings":{"default":{"default":"point sésame"}}},{"category":"Po","key":"FE46","mappings":{"default":{"default":"point sésame ajouré"}}},{"category":"Po","key":"FE49","mappings":{"default":{"default":"tiret haut en pointillés"}}},{"category":"Po","key":"FE4A","mappings":{"default":{"default":"tiret haut à point central"}}},{"category":"Po","key":"FE4B","mappings":{"default":{"default":"tiret haut ondulé"}}},{"category":"Po","key":"FE4C","mappings":{"default":{"default":"tiret haut double ondulé"}}},{"category":"Pc","key":"FE4D","mappings":{"default":{"default":"tiret bas avec pointillés"}}},{"category":"Pc","key":"FE4E","mappings":{"default":{"default":"tiret bas à point central"}}},{"category":"Pc","key":"FE4F","mappings":{"default":{"default":"tiret bas ondulé"}}},{"category":"Po","key":"FE50","mappings":{"default":{"default":"virgule minuscule"}}},{"category":"Po","key":"FE52","mappings":{"default":{"default":"point minuscule"}}},{"category":"Po","key":"FE54","mappings":{"default":{"default":"point virgule minuscule"}}},{"category":"Po","key":"FE55","mappings":{"default":{"default":"deux points minuscule"}}},{"category":"Po","key":"FE56","mappings":{"default":{"default":"point d'interrogation minuscule"}}},{"category":"Po","key":"FE57","mappings":{"default":{"default":"point d'exclamation minuscule"}}},{"category":"Pd","key":"FE58","mappings":{"default":{"default":"trait d'union cadratin minuscule"}}},{"category":"Po","key":"FE5F","mappings":{"default":{"default":"croisillon minuscule"}}},{"category":"Po","key":"FE60","mappings":{"default":{"default":"perluète minuscule"}}},{"category":"Po","key":"FE61","mappings":{"default":{"default":"astérisque minuscule"}}},{"category":"Sm","key":"FE62","mappings":{"default":{"default":"plus minuscule"}}},{"category":"Pd","key":"FE63","mappings":{"default":{"default":"tiret minuscule"}}},{"category":"Sm","key":"FE64","mappings":{"default":{"default":"inférieur à minuscule"}}},{"category":"Sm","key":"FE65","mappings":{"default":{"default":"supérieur à minuscule"}}},{"category":"Sm","key":"FE66","mappings":{"default":{"default":"égal à minuscule"}}},{"key":"FE68","mappings":{"default":{"default":"integer divide"}},"category":"Po"},{"category":"Sc","key":"FE69","mappings":{"default":{"default":"symbole dollar minuscule"}}},{"category":"Po","key":"FE6A","mappings":{"default":{"default":"symbole pour cent minuscule"}}},{"category":"Po","key":"FE6B","mappings":{"default":{"default":"arrobe minuscule"}}},{"category":"Po","key":"FF01","mappings":{"default":{"default":"point d'exclamation"}}},{"category":"Po","key":"FF02","mappings":{"default":{"default":"guillemet"}}},{"category":"Po","key":"FF03","mappings":{"default":{"default":"croisillon"}}},{"category":"Sc","key":"FF04","mappings":{"default":{"default":"symbole dollar"}}},{"category":"Po","key":"FF05","mappings":{"default":{"default":"symbole pour cent"}}},{"category":"Po","key":"FF06","mappings":{"default":{"default":"perluète"}}},{"category":"Po","key":"FF07","mappings":{"default":{"default":"apostrophe"}}},{"category":"Po","key":"FF0A","mappings":{"default":{"default":"astérisque"}}},{"category":"Sm","key":"FF0B","mappings":{"default":{"default":"plus"}}},{"category":"Po","key":"FF0C","mappings":{"default":{"default":"virgule"}}},{"category":"Pd","key":"FF0D","mappings":{"default":{"default":"tiret"}}},{"category":"Po","key":"FF0E","mappings":{"default":{"default":"point"}}},{"category":"Po","key":"FF0F","mappings":{"default":{"default":"barre oblique"}}},{"category":"Po","key":"FF1A","mappings":{"default":{"default":"deux points colon"}}},{"category":"Po","key":"FF1B","mappings":{"default":{"default":"point virgule"}}},{"category":"Sm","key":"FF1C","mappings":{"default":{"default":"inférieur à"}}},{"category":"Sm","key":"FF1D","mappings":{"default":{"default":"égal à"}}},{"category":"Sm","key":"FF1E","mappings":{"default":{"default":"supérieur à"}}},{"category":"Po","key":"FF1F","mappings":{"default":{"default":"point d'interrogation"}}},{"category":"Po","key":"FF20","mappings":{"default":{"default":"arrobe"}}},{"category":"Po","key":"FF3C","mappings":{"default":{"default":"barre oblique inversée"}}},{"category":"Sk","key":"FF3E","mappings":{"default":{"default":"accent circonflexe"}}},{"category":"Pc","key":"FF3F","mappings":{"default":{"default":"tiret bas"}}},{"category":"Sk","key":"FF40","mappings":{"default":{"default":"accent grave"}}},{"category":"Sm","key":"FF5C","mappings":{"default":{"default":"barre verticale"}}},{"category":"Sm","key":"FF5E","mappings":{"default":{"default":"tilde"}}},{"category":"Sc","key":"FFE0","mappings":{"default":{"default":"symbole centime"}}},{"category":"Sc","key":"FFE1","mappings":{"default":{"default":"symbole livre"}}},{"category":"Sm","key":"FFE2","mappings":{"default":{"default":"négation"}}},{"category":"Sk","key":"FFE3","mappings":{"default":{"default":"macron *"}}},{"category":"So","key":"FFE4","mappings":{"default":{"default":"ligne brisée"}}},{"category":"Sc","key":"FFE5","mappings":{"default":{"default":"symbole yen"}}},{"category":"Sc","key":"FFE6","mappings":{"default":{"default":"symbole won"}}},{"category":"So","key":"FFE8","mappings":{"default":{"default":"ligne verticale mince"}}},{"category":"So","key":"FFED","mappings":{"default":{"default":"carré noir"}}},{"category":"So","key":"FFEE","mappings":{"default":{"default":"cercle blanc"}}}]
+,
+"fr/symbols/math_whitespace.js": 
+[{"locale":"fr"},{"category":"Zs","key":"0020","mappings":{"default":{"default":"espace"}}},{"key":"00A0","mappings":{"default":{"default":" "}},"category":"Zs"},{"key":"00AD","mappings":{"default":{"default":"trait d'union conditionnel"}},"category":"Cf"},{"category":"Zs","key":"2000","mappings":{"default":{"default":"demi cadratin"}}},{"category":"Zs","key":"2001","mappings":{"default":{"default":"cadratin"}}},{"key":"2002","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2003","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2004","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2005","mappings":{"default":{"default":""}},"category":"Zs"},{"category":"Zs","key":"2006","mappings":{"default":{"default":"sixième de cadratin"}}},{"key":"2007","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2008","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"2009","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200A","mappings":{"default":{"default":""}},"category":"Zs"},{"key":"200B","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"200C","mappings":{"default":{"default":"antiliant sans chasse"}},"category":"Cf"},{"key":"200D","mappings":{"default":{"default":"liant sans chasse"}},"category":"Cf"},{"key":"200E","mappings":{"default":{"default":"marque gauche à droite"}},"category":"Cf"},{"key":"200F","mappings":{"default":{"default":"marque droite à gauche"}},"category":"Cf"},{"category":"Zl","key":"2028","mappings":{"default":{"default":"séparateur de lignes"}}},{"category":"Zp","key":"2029","mappings":{"default":{"default":"séparateur de paragraphes"}}},{"category":"Cf","key":"202A","mappings":{"default":{"default":"enchâssement gauche à droite"}}},{"category":"Cf","key":"202B","mappings":{"default":{"default":"enchâssement droite à gauche"}}},{"category":"Cf","key":"202C","mappings":{"default":{"default":"dépilement de formatage directionnel"}}},{"category":"Cf","key":"202D","mappings":{"default":{"default":"forçage gauche à droite"}}},{"category":"Cf","key":"202E","mappings":{"default":{"default":"forçage droite à gauche"}}},{"category":"Zs","key":"202F","mappings":{"default":{"default":"espace insécable étroite"}}},{"key":"205F","mappings":{"default":{"default":"espace moyenne mathématique"}},"category":"Zs"},{"key":"2060","mappings":{"default":{"default":""}},"category":"Cf"},{"key":"2061","mappings":{"default":{"default":"de"}},"category":"Cf"},{"key":"2062","mappings":{"default":{"default":" "}},"category":"Cf"},{"key":"2063","mappings":{"default":{"default":""}},"category":"Cf"},{"category":"Cf","key":"2064","mappings":{"default":{"default":"plus invisible"}}},{"category":"Cf","key":"206A","mappings":{"default":{"default":"inhibiteur d'échange symétrique"}}},{"category":"Cf","key":"206B","mappings":{"default":{"default":"activateur d'échange symétrique"}}},{"category":"Cf","key":"206E","mappings":{"default":{"default":"sélecteur de formes numérales nationales"}}},{"category":"Cf","key":"206F","mappings":{"default":{"default":"sélecteur de formes numérales de référence"}}},{"key":"FEFF","mappings":{"default":{"default":"espace ultrafine"}},"category":"Cf"},{"category":"Cf","key":"FFF9","mappings":{"default":{"default":"ancre d'annotation interlinéaire"}}},{"category":"Cf","key":"FFFA","mappings":{"default":{"default":"séparateur d'annotation interlinéaire"}}},{"category":"Cf","key":"FFFB","mappings":{"default":{"default":"terminateur d'annotation interlinéaire"}}}]
+,
+"fr/symbols/other_stars.js": 
+[{"locale":"fr"},{"category":"So","key":"23E8","mappings":{"default":{"default":"symbole exposant décimal"}}},{"key":"2605","mappings":{"default":{"default":"étoile noire"}},"category":"So"},{"key":"2606","mappings":{"default":{"default":"étoile blanche"}},"category":"So"},{"category":"So","key":"26AA","mappings":{"default":{"default":"cercle moyen blanc"}}},{"category":"So","key":"26AB","mappings":{"default":{"default":"cercle moyen noir"}}},{"category":"So","key":"2705","mappings":{"default":{"default":"signe de vérification blanc gras"}}},{"key":"2713","mappings":{"default":{"default":"signe de vérification"}},"category":"So"},{"category":"So","key":"2714","mappings":{"default":{"default":"gros signe de vérification"}}},{"category":"So","key":"2715","mappings":{"default":{"default":"x de multiplication"}}},{"category":"So","key":"2716","mappings":{"default":{"default":"gros x de multiplication"}}},{"key":"2717","mappings":{"default":{"default":"x de bulletin de vote"}},"category":"So"},{"category":"So","key":"2718","mappings":{"default":{"default":"gros x de bulletin de vote"}}},{"category":"So","key":"271B","mappings":{"default":{"default":"croix percée d'un carré"}}},{"category":"So","key":"271C","mappings":{"default":{"default":"grosse croix percée d'un carré"}}},{"key":"2720","mappings":{"default":{"default":"croix de malte"}},"category":"So"},{"category":"So","key":"2721","mappings":{"default":{"default":"Étoile de david"}}},{"category":"So","key":"2722","mappings":{"default":{"default":"croix larmée"}}},{"category":"So","key":"2723","mappings":{"default":{"default":"croix pommetée"}}},{"category":"So","key":"2724","mappings":{"default":{"default":"grosse croix pommetée"}}},{"category":"So","key":"2725","mappings":{"default":{"default":"croix tréflée"}}},{"category":"So","key":"2726","mappings":{"default":{"default":"Étoile noire à quatre branches"}}},{"category":"So","key":"2727","mappings":{"default":{"default":"Étoile blanche à quatre branches"}}},{"category":"So","key":"2728","mappings":{"default":{"default":"scintillements"}}},{"category":"So","key":"2729","mappings":{"default":{"default":"Étoile blanche à contour accentué"}}},{"category":"So","key":"272A","mappings":{"default":{"default":"Étoile blanche cerclée"}}},{"category":"So","key":"272B","mappings":{"default":{"default":"molette noire"}}},{"category":"So","key":"272C","mappings":{"default":{"default":"molette blanche"}}},{"category":"So","key":"272D","mappings":{"default":{"default":"Étoile noire avec contour"}}},{"category":"So","key":"272E","mappings":{"default":{"default":"Étoile noire avec gros contour"}}},{"category":"So","key":"272F","mappings":{"default":{"default":"Étoile rayonnante"}}},{"category":"So","key":"2730","mappings":{"default":{"default":"Étoile blanche ombrée"}}},{"category":"So","key":"2731","mappings":{"default":{"default":"gros astérisque"}}},{"category":"So","key":"2732","mappings":{"default":{"default":"astérisque percé"}}},{"category":"So","key":"2733","mappings":{"default":{"default":"astérisque à huit branches"}}},{"category":"So","key":"2734","mappings":{"default":{"default":"Étoile noire à huit branches"}}},{"category":"So","key":"2735","mappings":{"default":{"default":"Étoile rayonnante à huit branches"}}},{"key":"2736","mappings":{"default":{"default":"étoile noire à six branches"}},"category":"So"},{"category":"So","key":"2739","mappings":{"default":{"default":"Étoile noire à douze branches"}}},{"category":"So","key":"273A","mappings":{"default":{"default":"astérisque à seize branches"}}},{"category":"So","key":"273B","mappings":{"default":{"default":"astérisque larmé"}}},{"category":"So","key":"273C","mappings":{"default":{"default":"astérisque larmé percé"}}},{"key":"273D","mappings":{"default":{"default":"gros astérisque larmé"}},"category":"So"},{"category":"So","key":"273E","mappings":{"default":{"default":"sixtefeuille blanche et noire"}}},{"category":"So","key":"273F","mappings":{"default":{"default":"quintefeuille noire"}}},{"category":"So","key":"2740","mappings":{"default":{"default":"quintefeuille blanche"}}},{"category":"So","key":"2741","mappings":{"default":{"default":"double quartefeuille noire avec contour"}}},{"category":"So","key":"2742","mappings":{"default":{"default":"Étoile cerclée percée à huit branches"}}},{"category":"So","key":"2743","mappings":{"default":{"default":"gros astérisque rayonnant larmé"}}},{"category":"So","key":"2744","mappings":{"default":{"default":"flocon de neige"}}},{"category":"So","key":"2745","mappings":{"default":{"default":"flocon de neige à trois folioles transpercé"}}},{"category":"So","key":"2746","mappings":{"default":{"default":"gros flocon de neige à chevrons"}}},{"category":"So","key":"2747","mappings":{"default":{"default":"Étincellement"}}},{"category":"So","key":"2748","mappings":{"default":{"default":"gros étincellement"}}},{"category":"So","key":"2749","mappings":{"default":{"default":"astérisque pommeté"}}},{"category":"So","key":"274A","mappings":{"default":{"default":"astérisque hélice à huit branches larmées"}}},{"category":"So","key":"274B","mappings":{"default":{"default":"gros astérisque hélice à huit branches larmées"}}},{"category":"So","key":"274C","mappings":{"default":{"default":"croix grasse"}}},{"category":"So","key":"274D","mappings":{"default":{"default":"cercle blanc ombré"}}}]
+,
+"fr/units/energy.js": 
+[{"locale":"fr"},{"key":"W","mappings":{"default":{"default":"watts","singular":"watt","dual":""}},"category":"energy","names":["W","w"]},{"key":"J","mappings":{"default":{"default":"joules","singular":"joule","dual":""}},"category":"energy","names":["J"]},{"key":"N","mappings":{"default":{"default":"newtons","singular":"newton","dual":""}},"category":"energy","names":["N"]},{"key":"A","mappings":{"default":{"default":"ampères","singular":"ampère","dual":""}},"category":"energy","names":["A"]},{"key":"V","mappings":{"default":{"default":"volts","singular":"volt","dual":""}},"category":"energy","names":["V"]},{"key":"Ω","mappings":{"default":{"default":"ohms","singular":"ohm","dual":""}},"category":"energy","names":["Ω","Ohm"]}]
+,
+"fr/units/length.js": 
+[{"locale":"fr"},{"key":"m","mappings":{"default":{"default":"mètres","singular":"mètre","dual":""}},"category":"Length","names":["m"]},{"key":"ft","mappings":{"default":{"default":"pieds","singular":"pied","dual":""}},"category":"Length","names":["ft","ft."]},{"key":"in","mappings":{"default":{"default":"pouces","singular":"pouce","dual":""}},"category":"Length","names":["in","in."]},{"key":"mi","mappings":{"default":{"default":"miles","singular":"mile","dual":""}},"category":"Length","names":["mi","mi."]},{"key":"yd","mappings":{"default":{"default":"yards","singular":"yard","dual":""}},"category":"Length","names":["yd","yd."]}]
+,
+"fr/units/memory.js": 
+[{"locale":"fr"}]
+,
+"fr/units/other.js": 
+[{"locale":"fr"}]
+,
+"fr/units/speed.js": 
+[{"locale":"fr"},{"key":"mph","mappings":{"default":{"default":"miles par heure","singular":"mile par heure","dual":""}},"names":["mph"]}]
+,
+"fr/units/temperature.js": 
+[{"locale":"fr"},{"key":"F","mappings":{"default":{"default":"farads","singular":"farad","dual":""}},"names":["F","F.","°F"]},{"key":"C","mappings":{"default":{"default":"coulombs","singular":"coulomb","dual":""}},"names":["C","°C"]},{"key":"K","mappings":{"default":{"default":"kelvins","singular":"kelvin","dual":""}},"names":["K","°K"]}]
+,
+"fr/units/time.js": 
+[{"locale":"fr"},{"key":"s","mappings":{"default":{"default":"secondes","singular":"seconde","dual":""}},"category":"time","names":["s"]}]
+,
+"fr/units/volume.js": 
+[{"locale":"fr"},{"key":"bbl","mappings":{"default":{"default":"barils","singular":"baril","dual":""}},"category":"volume","names":["bbl.","bbl"]},{"key":"gal","mappings":{"default":{"default":"gallons","singular":"gallon","dual":""}},"category":"volume","names":["gal","gal."]},{"key":"pt","mappings":{"default":{"default":"pintes","singular":"pinte","dual":""}},"category":"volume","names":["pt","pt."]},{"key":"qt","mappings":{"default":{"default":"quarts","singular":"quart","dual":""}},"category":"volume","names":["qt","qt."]},{"key":"tbsp","mappings":{"default":{"default":"cuillères de table","singular":"cuillèe de table","dual":""}},"category":"volume","names":["tbsp","tbsp."]},{"key":"tsp","mappings":{"default":{"default":"cuillèes à thé","singular":"cuillère à thé","dual":""}},"category":"volume","names":["tsp","tsp."]},{"key":"l","mappings":{"default":{"default":"litres","singular":"litre","dual":""}},"category":"volume","names":["l"]}]
+,
+"fr/units/weight.js": 
+[{"locale":"fr"},{"key":"lb","mappings":{"default":{"default":"livres","singular":"livre","dual":""}},"names":["lb","lb."]},{"key":"oz","mappings":{"default":{"default":"onces","singular":"oce","dual":""}},"names":["oz","oz."]},{"key":"gr","mappings":{"default":{"default":"grains","singular":"grain","dual":""}},"names":["g","gr"]},{"key":"t","mappings":{"default":{"default":"tonnes","singular":"tonne","dual":""}},"names":["t","T"]}]
+,
+"nemeth/functions/algebra.js": 
+[{"locale":"nemeth"},{"category":"Algebra","mappings":{"default":{"default":"⠙⠑⠛"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"⠙⠑⠞"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"⠙⠊⠍"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"⠓⠕⠍"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"⠅⠑⠗"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"⠠⠞⠗"}},"key":"Tr","names":["Tr","tr"]}]
+,
+"nemeth/functions/elementary.js": 
+[{"locale":"nemeth"},{"category":"Logarithm","mappings":{"default":{"default":"⠇⠕⠏⠀"}},"key":"log","names":["log"]},{"category":"Logarithm","mappings":{"default":{"default":"⠇⠝⠀"}},"key":"ln","names":["ln"]},{"category":"Logarithm","mappings":{"default":{"default":"⠇⠛"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"⠑⠭⠏"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"⠛⠉⠙"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"⠇⠉⠍"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"⠁⠗⠛⠀"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"⠊⠍"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"⠗⠑"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"⠊⠝⠋⠀"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"⠇⠊⠍"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"⠇⠊⠍⠊⠝⠀⠋"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"⠇⠊⠍⠎⠥⠏"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"⠍⠁⠭⠀"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"⠍⠊⠝⠀"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"⠎⠥⠏"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"⠊⠝⠚⠇⠊⠍"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"⠏⠗⠕⠚⠇⠊⠍"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"⠍⠕⠙"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"⠠⠏⠗"}},"key":"Pr","names":["Pr"]}]
+,
+"nemeth/functions/hyperbolic.js": 
+[{"locale":"nemeth"},{"category":"Hyperbolic","mappings":{"default":{"default":"⠉⠕⠎⠓⠀"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠉⠕⠞⠓⠀"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠉⠎⠉⠓⠀"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠎⠑⠉⠓⠀"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠎⠊⠝⠓⠀"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠞⠁⠕⠓⠀"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠉⠀⠕⠎⠓"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠉⠀⠕⠞⠓"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠉⠀⠎⠉⠓"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠎⠑⠉⠓⠀"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠎⠊⠝⠓⠀"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠞⠁⠕⠓⠀"}},"key":"artanh","names":["artanh","arctanh"]}]
+,
+"nemeth/functions/trigonometry.js": 
+[{"locale":"nemeth"},{"category":"Trigonometric","mappings":{"default":{"default":"⠉⠕⠎⠀"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠉⠕⠞⠀"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠉⠎⠉⠀"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠎⠑⠉⠀"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠎⠊⠝⠀"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠞⠁⠝⠀"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠉⠕⠎⠀"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠉⠕⠞⠀"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠉⠎⠉⠀"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠎⠑⠉⠀"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠎⠊⠝⠀"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠞⠁⠝⠀"}},"key":"arctan","names":["arctan"]}]
+,
+"nemeth/symbols/digits_rest.js": 
+[{"locale":"nemeth"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠲⠼"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠆⠼"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"⠹⠒⠌⠲⠼"}},"key":"00BE"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠶⠼"}},"key":"2150"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠔⠼"}},"key":"2151"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠂⠴⠼"}},"key":"2152"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠒⠼"}},"key":"2153"},{"category":"No","mappings":{"default":{"default":"⠹⠆⠌⠒⠼"}},"key":"2154"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠢⠼"}},"key":"2155"},{"category":"No","mappings":{"default":{"default":"⠹⠆⠌⠢⠼"}},"key":"2156"},{"category":"No","mappings":{"default":{"default":"⠹⠒⠌⠢⠼"}},"key":"2157"},{"category":"No","mappings":{"default":{"default":"⠹⠲⠌⠢⠼"}},"key":"2158"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠖⠼"}},"key":"2159"},{"category":"No","mappings":{"default":{"default":"⠹⠢⠌⠖⠼"}},"key":"215A"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠦⠼"}},"key":"215B"},{"category":"No","mappings":{"default":{"default":"⠹⠒⠌⠦⠼"}},"key":"215C"},{"category":"No","mappings":{"default":{"default":"⠹⠢⠌⠦⠼"}},"key":"215D"},{"category":"No","mappings":{"default":{"default":"⠹⠶⠌⠦⠼"}},"key":"215E"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠼"}},"key":"215F"},{"category":"No","mappings":{"default":{"default":"⠹⠴⠌⠒⠼"}},"key":"2189"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠂⠴⠻⠻"}},"key":"3248"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠆⠴⠻⠻"}},"key":"3249"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠒⠴⠻⠻"}},"key":"324A"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠲⠴⠻⠻"}},"key":"324B"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠢⠴⠻⠻"}},"key":"324C"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠖⠴⠻⠻"}},"key":"324D"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠶⠴⠻⠻"}},"key":"324E"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠦⠴⠻⠻"}},"key":"324F"}]
+,
+"nemeth/symbols/greek-rest.js": 
+[{"locale":"nemeth"}]
+,
+"nemeth/symbols/greek-scripts.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠖⠄"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠶⠄"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠦⠄"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠔⠄"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠁⠄"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠢⠑⠄"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠴⠄"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠖⠄"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠶⠄"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠦⠄"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠔⠄"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠁⠄"}}}]
+,
+"nemeth/symbols/greek-symbols.js": 
+[{"locale":"nemeth"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠙⠴⠄"}},"key":"03D0"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠙⠶⠄"}},"key":"03D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠋⠖⠄"}},"key":"03F6"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠶⠉⠁⠄"}},"key":"1D7CA"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠶⠉⠃⠄"}},"key":"1D7CB"}]
+,
+"nemeth/symbols/hebrew_letters.js": 
+[{"locale":"nemeth"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠢⠄"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠖⠄"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠶⠄"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠦⠄"}},"key":"2138"}]
+,
+"nemeth/symbols/latin-lower-double-accent.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠖⠄"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠦⠄"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠁⠄"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠉⠄"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠋⠄"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠂⠄"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠙⠄"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠃⠄"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠃⠄"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠙⠄"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠂⠄"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠔⠄"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠢⠄"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠶⠄"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠙⠄"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠋⠄"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠔⠄"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠙⠄"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠋⠄"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠂⠄"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠒⠄"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠙⠄"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠢⠄"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠶⠄"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠔⠄"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠔⠄"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠃⠄"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠢⠄"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠶⠄"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠔⠄"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠃⠄"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠙⠄"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠋⠄"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠂⠄"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠒⠄"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠢⠄"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠶⠄"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠋⠄"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠂⠄"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠒⠄"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠢⠄"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠶⠄"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠂⠄"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠒⠄"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠢⠄"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠶⠄"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠔⠄"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠃⠄"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠙⠄"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠋⠄"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠂⠄"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠒⠄"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠔⠄"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠃⠄"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠙⠄"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠋⠄"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠂⠄"}}}]
+,
+"nemeth/symbols/latin-lower-phonetic.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠂⠄"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠶⠄"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠆⠄"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠶⠄"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠴⠄"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠃⠄"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠖⠄"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠑⠄"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠢⠄"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠋⠄"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠉⠄"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠶⠄"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠔⠄"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠙⠄"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠋⠄"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠋⠄"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠦⠄"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠲⠄"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠂⠄"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠆⠄"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠒⠄"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠉⠄"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠙⠄"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠋⠄"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠉⠄"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠙⠄"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠙⠄"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠃⠄"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠋⠄"}}},{"category":"Ll","key":"0138","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠦⠄"}}},{"category":"Ll","key":"017F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠋⠄"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠒⠄"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠢⠄"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠦⠄"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠉⠄"}}},{"category":"Ll","key":"0192","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠆⠄"}}},{"category":"Ll","key":"0195","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠢⠄"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠔⠄"}}},{"category":"Ll","key":"019A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠁⠄"}}},{"category":"Ll","key":"019E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠑⠄"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠂⠄"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠒⠄"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠢⠄"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠦⠄"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠁⠄"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠃⠄"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠙⠄"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠴⠄"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠲⠄"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠔⠄"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠁⠄"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠙⠄"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠋⠄"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠖⠄"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠔⠄"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠉⠄"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠒⠄"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠋⠄"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠒⠄"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠙⠄"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠙⠄"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠙⠄"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠂⠄"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠒⠄"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠢⠄"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠲⠄"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠢⠄"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠖⠄"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠦⠄"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠔⠄"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠋⠄"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠴⠄"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠆⠄"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠃⠄"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠴⠄"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠂⠄"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠆⠄"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠒⠄"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠲⠄"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠢⠄"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠖⠄"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠶⠄"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠦⠄"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠔⠄"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠁⠄"}}},{"category":"Ll","key":"025B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠃⠄"}}},{"category":"Ll","key":"025C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠉⠄"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠙⠄"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠑⠄"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠴⠄"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠂⠄"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠒⠄"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠲⠄"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠢⠄"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠖⠄"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠶⠄"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠔⠄"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠃⠄"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠉⠄"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠙⠄"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠑⠄"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠋⠄"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠴⠄"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠂⠄"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠆⠄"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠒⠄"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠢⠄"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠶⠄"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠦⠄"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠔⠄"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠁⠄"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠃⠄"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠉⠄"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠙⠄"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠑⠄"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠋⠄"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠆⠄"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠒⠄"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠢⠄"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠖⠄"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠶⠄"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠦⠄"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠔⠄"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠁⠄"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠃⠄"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠉⠄"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠙⠄"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠑⠄"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠴⠄"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠂⠄"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠆⠄"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠒⠄"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠢⠄"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠖⠄"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠶⠄"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠦⠄"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠁⠄"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠑⠄"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠴⠄"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠒⠄"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠲⠄"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠢⠄"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠖⠄"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠶⠄"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠦⠄"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠔⠄"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠁⠄"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠃⠄"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠉⠄"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠙⠄"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠑⠄"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠋⠄"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠴⠆⠄"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠴⠦⠄"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠴⠔⠄"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠂⠄"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠆⠄"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠲⠄"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠖⠄"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠶⠄"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠙⠄"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠑⠄"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠋⠄"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠲⠄"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠢⠄"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠃⠄"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠉⠄"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠙⠄"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠑⠄"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠋⠄"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠴⠄"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠂⠄"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠆⠄"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠒⠄"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠲⠄"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠢⠄"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠖⠄"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠶⠄"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠔⠄"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠁⠄"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠴⠄"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠂⠄"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠆⠄"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠒⠄"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠲⠄"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠢⠄"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠖⠄"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠶⠄"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠦⠄"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠔⠄"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠁⠄"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠃⠄"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠉⠄"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠙⠄"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠑⠄"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠋⠄"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠴⠄"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠂⠄"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠆⠄"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠒⠄"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠲⠄"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠢⠄"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠖⠄"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠶⠄"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠦⠄"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠔⠄"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠁⠄"}}},{"category":"Ll","key":"0149","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠔⠄"}}},{"category":"Ll","key":"014B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠃⠄"}}}]
+,
+"nemeth/symbols/latin-lower-single-accent.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"00E0","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E1","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E2","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E3","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E4","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E5","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E7","mappings":{"default":{"default":"⠈⠉"}}},{"category":"Ll","key":"00E8","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00E9","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00EA","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00EB","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00EC","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00ED","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00EE","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00EF","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00F1","mappings":{"default":{"default":"⠈⠝"}}},{"category":"Ll","key":"00F2","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F3","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F4","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F5","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F6","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F9","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FA","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FB","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FC","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FD","mappings":{"default":{"default":"⠈⠽"}}},{"category":"Ll","key":"00FF","mappings":{"default":{"default":"⠈⠽"}}},{"category":"Ll","key":"0101","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠂⠄"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠒⠄"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠢⠄"}}},{"category":"Ll","key":"0107","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠶⠄"}}},{"category":"Ll","key":"0109","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠔⠄"}}},{"category":"Ll","key":"010B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠃⠄"}}},{"category":"Ll","key":"010D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠙⠄"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠋⠄"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠒⠄"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠢⠄"}}},{"category":"Ll","key":"0117","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠶⠄"}}},{"category":"Ll","key":"0119","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠔⠄"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠃⠄"}}},{"category":"Ll","key":"011D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠙⠄"}}},{"category":"Ll","key":"011F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠋⠄"}}},{"category":"Ll","key":"0121","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠂⠄"}}},{"category":"Ll","key":"0123","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠒⠄"}}},{"category":"Ll","key":"0125","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠢⠄"}}},{"category":"Ll","key":"0129","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠔⠄"}}},{"category":"Ll","key":"012B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠃⠄"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠙⠄"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠋⠄"}}},{"category":"Ll","key":"0131","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠂⠄"}}},{"category":"Ll","key":"0135","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠢⠄"}}},{"category":"Ll","key":"0137","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠶⠄"}}},{"category":"Ll","key":"013A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠁⠄"}}},{"category":"Ll","key":"013C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠉⠄"}}},{"category":"Ll","key":"013E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠑⠄"}}},{"category":"Ll","key":"0140","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠴⠄"}}},{"category":"Ll","key":"0144","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠲⠄"}}},{"category":"Ll","key":"0146","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠖⠄"}}},{"category":"Ll","key":"0148","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠦⠄"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠙⠄"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠋⠄"}}},{"category":"Ll","key":"0151","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠂⠄"}}},{"category":"Ll","key":"0155","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠢⠄"}}},{"category":"Ll","key":"0157","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠶⠄"}}},{"category":"Ll","key":"0159","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠔⠄"}}},{"category":"Ll","key":"015B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠃⠄"}}},{"category":"Ll","key":"015D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠙⠄"}}},{"category":"Ll","key":"015F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠋⠄"}}},{"category":"Ll","key":"0161","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠂⠄"}}},{"category":"Ll","key":"0163","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠒⠄"}}},{"category":"Ll","key":"0165","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠢⠄"}}},{"category":"Ll","key":"0169","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠔⠄"}}},{"category":"Ll","key":"016B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠃⠄"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠙⠄"}}},{"category":"Ll","key":"016F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠋⠄"}}},{"category":"Ll","key":"0171","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠂⠄"}}},{"category":"Ll","key":"0173","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠒⠄"}}},{"category":"Ll","key":"0175","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠢⠄"}}},{"category":"Ll","key":"0177","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠶⠄"}}},{"category":"Ll","key":"017A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠁⠄"}}},{"category":"Ll","key":"017C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠉⠄"}}},{"category":"Ll","key":"017E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠑⠄"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠑⠄"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠴⠄"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠆⠄"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠲⠄"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠶⠄"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠔⠄"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠃⠄"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠴⠄"}}},{"category":"Ll","key":"01F5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠢⠄"}}},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠔⠄"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠂⠄"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠒⠄"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠢⠄"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠶⠄"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠔⠄"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠃⠄"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠙⠄"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠋⠄"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠂⠄"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠒⠄"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠢⠄"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠶⠄"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠔⠄"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠃⠄"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠋⠄"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠶⠄"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠔⠄"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠋⠄"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠒⠄"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠶⠄"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠂⠄"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠒⠄"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠢⠄"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠶⠄"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠃⠄"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠙⠄"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠋⠄"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠂⠄"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠒⠄"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠔⠄"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠃⠄"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠋⠄"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠂⠄"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠒⠄"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠢⠄"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠶⠄"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠔⠄"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠃⠄"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠙⠄"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠂⠄"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠒⠄"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠢⠄"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠶⠄"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠃⠄"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠙⠄"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠋⠄"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠂⠄"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠒⠄"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠢⠄"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠶⠄"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠔⠄"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠃⠄"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠢⠄"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠶⠄"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠔⠄"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠃⠄"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠋⠄"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠂⠄"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠒⠄"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠃⠄"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠙⠄"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠋⠄"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠂⠄"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠒⠄"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠢⠄"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠶⠄"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠙⠄"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠋⠄"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠂⠄"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠒⠄"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠢⠄"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠶⠄"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠔⠄"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠃⠄"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠙⠄"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠋⠄"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠂⠄"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠒⠄"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠢⠄"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠖⠄"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠶⠄"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠦⠄"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠔⠄"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠁⠄"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠂⠄"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠒⠄"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠔⠄"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠃⠄"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠙⠄"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠔⠄"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠃⠄"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠙⠄"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠋⠄"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠢⠄"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠶⠄"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠒⠄"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠢⠄"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠶⠄"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠔⠄"}}}]
+,
+"nemeth/symbols/latin-rest.js": 
+[{"locale":"nemeth"},{"category":"Mn","key":"0363","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠒⠄"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠲⠄"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠢⠄"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠖⠄"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠶⠄"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠦⠄"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠔⠄"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠁⠄"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠃⠄"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠉⠄"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠙⠄"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠑⠄"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠋⠄"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠆⠄"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠒⠄"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠲⠄"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠢⠄"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠉⠁⠄"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠒⠄"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠲⠄"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠢⠄"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠖⠄"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠶⠄"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠦⠄"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠔⠄"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠁⠄"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠃⠄"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠉⠄"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠙⠄"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠑⠄"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠋⠄"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠴⠄"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠂⠄"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠆⠄"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠒⠄"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠲⠄"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠢⠄"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠖⠄"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠂⠄"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠋⠄"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠴⠄"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠂⠄"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠆⠄"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠒⠄"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠲⠄"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠢⠄"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠖⠄"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠶⠄"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠦⠄"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠔⠄"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠁⠄"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠃⠄"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠉⠄"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"⠄⡳⠭⠆⠉⠶⠉⠄"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠆⠁⠄"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠆⠃⠄"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠆⠉⠄"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠦⠁⠄"}}}]
+,
+"nemeth/symbols/latin-upper-double-accent.js": 
+[{"locale":"nemeth"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠢⠄"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠶⠄"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠔⠄"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠃⠄"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠑⠄"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠴⠄"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠉⠄"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠁⠄"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠁⠄"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠉⠄"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠴⠄"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠦⠄"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠲⠄"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠖⠄"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠉⠄"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠑⠄"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠦⠄"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠉⠄"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠑⠄"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠴⠄"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠆⠄"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠉⠄"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠲⠄"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠖⠄"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠦⠄"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠦⠄"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠁⠄"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠲⠄"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠖⠄"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠦⠄"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠁⠄"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠉⠄"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠑⠄"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠴⠄"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠆⠄"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠲⠄"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠖⠄"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠑⠄"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠴⠄"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠆⠄"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠲⠄"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠖⠄"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠴⠄"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠆⠄"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠲⠄"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠖⠄"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠦⠄"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠁⠄"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠉⠄"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠑⠄"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠴⠄"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠆⠄"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠦⠄"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠁⠄"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠉⠄"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠑⠄"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠴⠄"}}}]
+,
+"nemeth/symbols/latin-upper-single-accent.js": 
+[{"locale":"nemeth"},{"category":"Lu","key":"00C0","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C1","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C2","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C3","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C4","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C5","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C7","mappings":{"default":{"default":"⠠⠈⠉"}}},{"category":"Lu","key":"00C8","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00C9","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00CA","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00CB","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00CC","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00CD","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00CE","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00CF","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00D1","mappings":{"default":{"default":"⠠⠈⠝"}}},{"category":"Lu","key":"00D2","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D3","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D4","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D5","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠙⠢⠄"}}},{"category":"Lu","key":"00D6","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D9","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DA","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DB","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DC","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DD","mappings":{"default":{"default":"⠠⠈⠽"}}},{"category":"Lu","key":"0100","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠴⠄"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠆⠄"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠲⠄"}}},{"category":"Lu","key":"0106","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠖⠄"}}},{"category":"Lu","key":"0108","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠦⠄"}}},{"category":"Lu","key":"010A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠁⠄"}}},{"category":"Lu","key":"010C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠉⠄"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠑⠄"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠆⠄"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠲⠄"}}},{"category":"Lu","key":"0116","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠖⠄"}}},{"category":"Lu","key":"0118","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠦⠄"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠁⠄"}}},{"category":"Lu","key":"011C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠉⠄"}}},{"category":"Lu","key":"011E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠑⠄"}}},{"category":"Lu","key":"0120","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠴⠄"}}},{"category":"Lu","key":"0122","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠆⠄"}}},{"category":"Lu","key":"0124","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠲⠄"}}},{"category":"Lu","key":"0128","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠦⠄"}}},{"category":"Lu","key":"012A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠁⠄"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠉⠄"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠑⠄"}}},{"category":"Lu","key":"0130","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠴⠄"}}},{"category":"Lu","key":"0134","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠲⠄"}}},{"category":"Lu","key":"0136","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠖⠄"}}},{"category":"Lu","key":"0139","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠔⠄"}}},{"category":"Lu","key":"013B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠃⠄"}}},{"category":"Lu","key":"013D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠙⠄"}}},{"category":"Lu","key":"013F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠋⠄"}}},{"category":"Lu","key":"0143","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠒⠄"}}},{"category":"Lu","key":"0145","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠢⠄"}}},{"category":"Lu","key":"0147","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠶⠄"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠉⠄"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠑⠄"}}},{"category":"Lu","key":"0150","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠴⠄"}}},{"category":"Lu","key":"0154","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠲⠄"}}},{"category":"Lu","key":"0156","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠖⠄"}}},{"category":"Lu","key":"0158","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠦⠄"}}},{"category":"Lu","key":"015A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠁⠄"}}},{"category":"Lu","key":"015C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠉⠄"}}},{"category":"Lu","key":"015E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠑⠄"}}},{"category":"Lu","key":"0160","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠴⠄"}}},{"category":"Lu","key":"0162","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠆⠄"}}},{"category":"Lu","key":"0164","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠲⠄"}}},{"category":"Lu","key":"0168","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠦⠄"}}},{"category":"Lu","key":"016A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠁⠄"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠉⠄"}}},{"category":"Lu","key":"016E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠑⠄"}}},{"category":"Lu","key":"0170","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠴⠄"}}},{"category":"Lu","key":"0172","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠆⠄"}}},{"category":"Lu","key":"0174","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠲⠄"}}},{"category":"Lu","key":"0176","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠖⠄"}}},{"category":"Lu","key":"0178","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠦⠄"}}},{"category":"Lu","key":"0179","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠔⠄"}}},{"category":"Lu","key":"017B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠃⠄"}}},{"category":"Lu","key":"017D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠙⠄"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠙⠄"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠋⠄"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠂⠄"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠒⠄"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠖⠄"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠦⠄"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠁⠄"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠲⠄"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠦⠄"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠴⠄"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠆⠄"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠲⠄"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠖⠄"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠦⠄"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠁⠄"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠉⠄"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠑⠄"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠴⠄"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠆⠄"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠲⠄"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠖⠄"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠦⠄"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠁⠄"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠑⠄"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠖⠄"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠦⠄"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠑⠄"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠆⠄"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠴⠄"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠆⠄"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠲⠄"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠖⠄"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠁⠄"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠉⠄"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠑⠄"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠴⠄"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠆⠄"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠦⠄"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠁⠄"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠑⠄"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠴⠄"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠆⠄"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠲⠄"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠖⠄"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠦⠄"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠁⠄"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠉⠄"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠴⠄"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠆⠄"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠲⠄"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠖⠄"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠁⠄"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠉⠄"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠑⠄"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠴⠄"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠆⠄"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠲⠄"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠖⠄"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠦⠄"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠁⠄"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠲⠄"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠖⠄"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠦⠄"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠁⠄"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠑⠄"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠴⠄"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠆⠄"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠁⠄"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠉⠄"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠑⠄"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠴⠄"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠆⠄"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠲⠄"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠖⠄"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠉⠄"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠑⠄"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠴⠄"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠆⠄"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠲⠄"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠖⠄"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠦⠄"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠁⠄"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠉⠄"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠑⠄"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠴⠄"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠆⠄"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠲⠄"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠴⠄"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠆⠄"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠦⠄"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠁⠄"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠉⠄"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠦⠄"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠁⠄"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠉⠄"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠑⠄"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠲⠄"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠖⠄"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠆⠄"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠲⠄"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠖⠄"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠦⠄"}}}]
+,
+"nemeth/symbols/math_angles.js": 
+[{"locale":"nemeth"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠑⠄"}},"key":"22BE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠶⠉⠄"}},"key":"237C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠴⠄"}},"key":"27C0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠃⠄"}},"key":"299B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠉⠄"}},"key":"299C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠙⠄"}},"key":"299D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠑⠄"}},"key":"299E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠋⠄"}},"key":"299F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠴⠄"}},"key":"29A0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠂⠄"}},"key":"29A1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠆⠄"}},"key":"29A2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠒⠄"}},"key":"29A3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠲⠄"}},"key":"29A4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠢⠄"}},"key":"29A5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠖⠄"}},"key":"29A6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠶⠄"}},"key":"29A7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠦⠄"}},"key":"29A8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠔⠄"}},"key":"29A9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠁⠄"}},"key":"29AA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠃⠄"}},"key":"29AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠉⠄"}},"key":"29AC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠙⠄"}},"key":"29AD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠑⠄"}},"key":"29AE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠋⠄"}},"key":"29AF"}]
+,
+"nemeth/symbols/math_arrows.js": 
+[{"locale":"nemeth"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠀"}},"key":"2190"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠀"}},"key":"2191"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠕⠀"}},"key":"2192"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠀"}},"key":"2193"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠕⠀"}},"key":"2194"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠩⠪⠒⠒⠕⠀"}},"key":"2195"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠪⠒⠒⠀"}},"key":"2196"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠒⠒⠕⠀"}},"key":"2197"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠒⠒⠕⠀"}},"key":"2198"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠪⠒⠒⠀"}},"key":"2199"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠻⠀"}},"key":"219A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠒⠒⠕⠻⠀"}},"key":"219B"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠔⠒⠢⠀"}},"key":"219C"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠔⠒⠢⠕⠀"}},"key":"219D"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠪⠒⠒⠀"}},"key":"219E"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠕⠀"}},"key":"219F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠕⠀"}},"key":"21A0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠕⠀"}},"key":"21A1"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠠⠽⠀"}},"key":"21A2"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠠⠯⠒⠒⠕⠀"}},"key":"21A3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠳⠀"}},"key":"21A4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠳⠒⠒⠕⠀"}},"key":"21A5"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠳⠒⠒⠕⠀"}},"key":"21A6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠳⠒⠒⠕⠀"}},"key":"21A7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠳⠒⠕⠀"}},"key":"21A8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠠⠕⠀"}},"key":"21A9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠠⠪⠒⠒⠕⠀"}},"key":"21AA"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠨⠡⠀"}},"key":"21AB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠨⠡⠒⠒⠕⠀"}},"key":"21AC"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠔⠒⠢⠕⠀"}},"key":"21AD"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠕⠀"}},"key":"21AE"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠔⠢⠔⠀"}},"key":"21AF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠴⠄"}},"key":"21B0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠂⠄"}},"key":"21B1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠆⠄"}},"key":"21B2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠒⠄"}},"key":"21B3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠠⠳⠒⠒⠕⠀"}},"key":"21B4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠠⠳⠒⠒⠕⠀"}},"key":"21B5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠢⠔⠀⠕⠀"}},"key":"21B6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠢⠀⠔⠀"}},"key":"21B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠦⠄"}},"key":"21B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠔⠄"}},"key":"21B9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠢⠔⠕⠀"}},"key":"21BA"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠢⠔⠀"}},"key":"21BB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠫⠪⠒⠒⠀"}},"key":"21C4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠐⠫⠩⠒⠒⠕⠀"}},"key":"21C5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠫⠒⠒⠕⠀"}},"key":"21C6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠚⠒⠒⠫⠚⠒⠒⠀"}},"key":"21C7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠐⠫⠣⠒⠒⠕⠀"}},"key":"21C8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠫⠒⠒⠕⠀"}},"key":"21C9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠐⠫⠩⠒⠒⠕⠀"}},"key":"21CA"},{"category":"So","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠪⠒⠒⠀"}},"key":"21CD"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠪⠒⠒⠕⠕⠀"}},"key":"21CE"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠒⠒⠕⠕⠀"}},"key":"21CF"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠪⠒⠒⠀"}},"key":"21D0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠕⠀"}},"key":"21D1"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠕⠀"}},"key":"21D2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠕⠀"}},"key":"21D3"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠪⠪⠒⠒⠕⠕⠀"}},"key":"21D4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠪⠪⠒⠒⠕⠕⠀"}},"key":"21D5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠪⠪⠒⠒⠀"}},"key":"21D6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠒⠒⠕⠕⠀"}},"key":"21D7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠒⠒⠕⠕⠀"}},"key":"21D8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠪⠪⠒⠒⠀"}},"key":"21D9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠪⠪⠒⠒⠀"}},"key":"21DA"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠕⠕⠀"}},"key":"21DB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠢⠤⠔⠒⠢⠀"}},"key":"21DC"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠢⠤⠔⠒⠢⠕⠀"}},"key":"21DD"},{"category":"So","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠣⠒⠒⠕⠻⠀"}},"key":"21DE"},{"category":"So","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠩⠒⠒⠕⠻⠀"}},"key":"21DF"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠀⠒⠀"}},"key":"21E0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠀⠒⠕⠀"}},"key":"21E1"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠀⠒⠕⠀"}},"key":"21E2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠀⠒⠕⠀"}},"key":"21E3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠳⠪⠒⠒⠀"}},"key":"21E4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠳⠀"}},"key":"21E5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠸⠪⠒⠒⠀"}},"key":"21E6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠸⠒⠒⠕⠀"}},"key":"21E7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠸⠒⠒⠕⠀"}},"key":"21E8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠸⠒⠒⠕⠀"}},"key":"21E9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠁⠄"}},"key":"21EA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠃⠄"}},"key":"21EB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠉⠄"}},"key":"21EC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠙⠄"}},"key":"21ED"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠑⠄"}},"key":"21EE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠋⠄"}},"key":"21EF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠋⠴⠄"}},"key":"21F0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠋⠂⠄"}},"key":"21F1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠋⠆⠄"}},"key":"21F2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠸⠪⠒⠒⠕⠀"}},"key":"21F3"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠨⠡⠀"}},"key":"21F4"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠐⠫⠣⠒⠒⠕⠀"}},"key":"21F5"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠫⠒⠒⠕⠫⠒⠒⠕⠀"}},"key":"21F6"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠻⠀"}},"key":"21F7"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠒⠒⠕⠻⠀"}},"key":"21F8"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠕⠀"}},"key":"21F9"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠪⠒⠒⠻⠀"}},"key":"21FA"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠒⠒⠕⠻⠀"}},"key":"21FB"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠪⠒⠒⠕⠀"}},"key":"21FC"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠳⠒⠒⠀"}},"key":"21FD"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠳⠀"}},"key":"21FE"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠳⠒⠒⠳⠀"}},"key":"21FF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠂⠄"}},"key":"2301"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠒⠄"}},"key":"2303"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠲⠄"}},"key":"2304"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠆⠲⠄"}},"key":"2324"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠦⠃⠄"}},"key":"238B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠲⠄"}},"key":"2794"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠦⠄"}},"key":"2798"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠔⠄"}},"key":"2799"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠁⠄"}},"key":"279A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠃⠄"}},"key":"279B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠉⠄"}},"key":"279C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠙⠄"}},"key":"279D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠑⠄"}},"key":"279E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠋⠄"}},"key":"279F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠴⠄"}},"key":"27A0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠂⠄"}},"key":"27A1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠆⠄"}},"key":"27A2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠒⠄"}},"key":"27A3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠲⠄"}},"key":"27A4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠢⠄"}},"key":"27A5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠖⠄"}},"key":"27A6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠶⠄"}},"key":"27A7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠦⠄"}},"key":"27A8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠔⠄"}},"key":"27A9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠁⠄"}},"key":"27AA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠃⠄"}},"key":"27AB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠉⠄"}},"key":"27AC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠙⠄"}},"key":"27AD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠑⠄"}},"key":"27AE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠋⠄"}},"key":"27AF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠂⠄"}},"key":"27B1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠆⠄"}},"key":"27B2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠒⠄"}},"key":"27B3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠲⠄"}},"key":"27B4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠢⠄"}},"key":"27B5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠖⠄"}},"key":"27B6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠶⠄"}},"key":"27B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠦⠄"}},"key":"27B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠔⠄"}},"key":"27B9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠁⠄"}},"key":"27BA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠃⠄"}},"key":"27BB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠉⠄"}},"key":"27BC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠙⠄"}},"key":"27BD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠑⠄"}},"key":"27BE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠴⠄"}},"key":"27F0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠂⠄"}},"key":"27F1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠆⠄"}},"key":"27F2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠒⠄"}},"key":"27F3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠲⠄"}},"key":"27F4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠢⠄"}},"key":"27F5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠖⠄"}},"key":"27F6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠶⠄"}},"key":"27F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠦⠄"}},"key":"27F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠔⠄"}},"key":"27F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠁⠄"}},"key":"27FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠃⠄"}},"key":"27FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠉⠄"}},"key":"27FC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠙⠄"}},"key":"27FD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠑⠄"}},"key":"27FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠋⠄"}},"key":"27FF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠴⠄"}},"key":"2900"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠂⠄"}},"key":"2901"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠆⠄"}},"key":"2902"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠒⠄"}},"key":"2903"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠲⠄"}},"key":"2904"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠢⠄"}},"key":"2905"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠖⠄"}},"key":"2906"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠶⠄"}},"key":"2907"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠦⠄"}},"key":"2908"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠔⠄"}},"key":"2909"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠁⠄"}},"key":"290A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠃⠄"}},"key":"290B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠉⠄"}},"key":"290C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠙⠄"}},"key":"290D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠑⠄"}},"key":"290E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠋⠄"}},"key":"290F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠴⠄"}},"key":"2910"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠂⠄"}},"key":"2911"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠆⠄"}},"key":"2912"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠒⠄"}},"key":"2913"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠲⠄"}},"key":"2914"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠢⠄"}},"key":"2915"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠖⠄"}},"key":"2916"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠶⠄"}},"key":"2917"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠦⠄"}},"key":"2918"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠔⠄"}},"key":"2919"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠁⠄"}},"key":"291A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠃⠄"}},"key":"291B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠉⠄"}},"key":"291C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠙⠄"}},"key":"291D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠑⠄"}},"key":"291E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠋⠄"}},"key":"291F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠴⠄"}},"key":"2920"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠂⠄"}},"key":"2921"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠆⠄"}},"key":"2922"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠒⠄"}},"key":"2923"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠲⠄"}},"key":"2924"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠢⠄"}},"key":"2925"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠖⠄"}},"key":"2926"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠶⠄"}},"key":"2927"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠦⠄"}},"key":"2928"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠔⠄"}},"key":"2929"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠁⠄"}},"key":"292A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠙⠄"}},"key":"292D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠑⠄"}},"key":"292E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠋⠄"}},"key":"292F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠴⠄"}},"key":"2930"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠂⠄"}},"key":"2931"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠆⠄"}},"key":"2932"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠒⠄"}},"key":"2933"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠲⠄"}},"key":"2934"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠢⠄"}},"key":"2935"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠖⠄"}},"key":"2936"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠶⠄"}},"key":"2937"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠦⠄"}},"key":"2938"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠔⠄"}},"key":"2939"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠁⠄"}},"key":"293A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠃⠄"}},"key":"293B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠉⠄"}},"key":"293C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠙⠄"}},"key":"293D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠑⠄"}},"key":"293E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠋⠄"}},"key":"293F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠴⠄"}},"key":"2940"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠂⠄"}},"key":"2941"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠆⠄"}},"key":"2942"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠒⠄"}},"key":"2943"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠲⠄"}},"key":"2944"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠢⠄"}},"key":"2945"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠖⠄"}},"key":"2946"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠶⠄"}},"key":"2947"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠦⠄"}},"key":"2948"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠔⠄"}},"key":"2949"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠴⠄"}},"key":"2970"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠂⠄"}},"key":"2971"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠆⠄"}},"key":"2972"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠒⠄"}},"key":"2973"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠲⠄"}},"key":"2974"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠢⠄"}},"key":"2975"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠖⠄"}},"key":"2976"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠶⠄"}},"key":"2977"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠦⠄"}},"key":"2978"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠔⠄"}},"key":"2979"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠁⠄"}},"key":"297A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠃⠄"}},"key":"297B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠒⠄"}},"key":"29B3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠲⠄"}},"key":"29B4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠙⠄"}},"key":"29BD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠁⠄"}},"key":"29EA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠉⠄"}},"key":"29EC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠙⠄"}},"key":"29ED"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠶⠄"}},"key":"2A17"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠴⠄"}},"key":"2B00"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠂⠄"}},"key":"2B01"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠆⠄"}},"key":"2B02"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠒⠄"}},"key":"2B03"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠲⠄"}},"key":"2B04"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠢⠄"}},"key":"2B05"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠖⠄"}},"key":"2B06"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠶⠄"}},"key":"2B07"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠦⠄"}},"key":"2B08"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠔⠄"}},"key":"2B09"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠁⠄"}},"key":"2B0A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠃⠄"}},"key":"2B0B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠉⠄"}},"key":"2B0C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠙⠄"}},"key":"2B0D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠑⠄"}},"key":"2B0E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠋⠄"}},"key":"2B0F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠴⠄"}},"key":"2B10"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠂⠄"}},"key":"2B11"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠴⠄"}},"key":"2B30"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠂⠄"}},"key":"2B31"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠆⠄"}},"key":"2B32"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠒⠄"}},"key":"2B33"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠲⠄"}},"key":"2B34"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠢⠄"}},"key":"2B35"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠖⠄"}},"key":"2B36"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠶⠄"}},"key":"2B37"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠦⠄"}},"key":"2B38"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠔⠄"}},"key":"2B39"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠁⠄"}},"key":"2B3A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠃⠄"}},"key":"2B3B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠉⠄"}},"key":"2B3C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠙⠄"}},"key":"2B3D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠑⠄"}},"key":"2B3E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠋⠄"}},"key":"2B3F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠴⠄"}},"key":"2B40"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠂⠄"}},"key":"2B41"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠆⠄"}},"key":"2B42"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠒⠄"}},"key":"2B43"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠲⠄"}},"key":"2B44"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠢⠄"}},"key":"2B45"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠖⠄"}},"key":"2B46"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠶⠄"}},"key":"2B47"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠦⠄"}},"key":"2B48"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠔⠄"}},"key":"2B49"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠁⠄"}},"key":"2B4A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠃⠄"}},"key":"2B4B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠉⠄"}},"key":"2B4C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠔⠄"}},"key":"FFE9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠁⠄"}},"key":"FFEA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠃⠄"}},"key":"FFEB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠉⠄"}},"key":"FFEC"}]
+,
+"nemeth/symbols/math_characters.js": 
+[{"locale":"nemeth"},{"category":"Ll","mappings":{"default":{"default":"⠈⠇"}},"key":"2113"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠦⠄"}},"key":"2118"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠉⠄"}},"key":"213C"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠙⠄"}},"key":"213D"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠑⠄"}},"key":"213E"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠋⠄"}},"key":"213F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠴⠄"}},"key":"2140"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠢⠄"}},"key":"2145"},{"category":"Ll","mappings":{"default":{"default":"⠙"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"⠑"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠦⠄"}},"key":"2148"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠔⠄"}},"key":"2149"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠖⠁⠲⠄"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠖⠁⠢⠄"}},"key":"1D6A5"}]
+,
+"nemeth/symbols/math_delimiters.js": 
+[{"locale":"nemeth"},{"category":"Ps","mappings":{"default":{"default":"⠷"}},"key":"0028"},{"category":"Pe","mappings":{"default":{"default":"⠾"}},"key":"0029"},{"category":"Ps","mappings":{"default":{"default":"⠈⠷"}},"key":"005B"},{"category":"Pe","mappings":{"default":{"default":"⠈⠾"}},"key":"005D"},{"category":"Ps","mappings":{"default":{"default":"⠨⠷"}},"key":"007B"},{"category":"Pe","mappings":{"default":{"default":"⠨⠾"}},"key":"007D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠢⠄"}},"key":"2045"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠖⠄"}},"key":"2046"},{"category":"Sm","mappings":{"default":{"default":"⠈⠘⠷"}},"key":"2308"},{"category":"Sm","mappings":{"default":{"default":"⠈⠘⠾"}},"key":"2309"},{"category":"Sm","mappings":{"default":{"default":"⠈⠰⠷"}},"key":"230A"},{"category":"Sm","mappings":{"default":{"default":"⠈⠰⠾"}},"key":"230B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠉⠄"}},"key":"230C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠙⠄"}},"key":"230D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠑⠄"}},"key":"230E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠋⠄"}},"key":"230F"},{"category":"So","mappings":{"default":{"default":"⠈⠘⠷"}},"key":"231C"},{"category":"So","mappings":{"default":{"default":"⠈⠘⠾"}},"key":"231D"},{"category":"So","mappings":{"default":{"default":"⠈⠰⠷"}},"key":"231E"},{"category":"So","mappings":{"default":{"default":"⠈⠰⠾"}},"key":"231F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠆⠴⠄"}},"key":"2320"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠆⠂⠄"}},"key":"2321"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠷"}},"key":"2329"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠾"}},"key":"232A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠃⠄"}},"key":"239B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠉⠄"}},"key":"239C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠙⠄"}},"key":"239D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠑⠄"}},"key":"239E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠋⠄"}},"key":"239F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠴⠄"}},"key":"23A0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠂⠄"}},"key":"23A1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠆⠄"}},"key":"23A2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠒⠄"}},"key":"23A3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠲⠄"}},"key":"23A4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠢⠄"}},"key":"23A5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠖⠄"}},"key":"23A6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠶⠄"}},"key":"23A7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠦⠄"}},"key":"23A8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠔⠄"}},"key":"23A9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠁⠄"}},"key":"23AA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠃⠄"}},"key":"23AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠉⠄"}},"key":"23AC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠙⠄"}},"key":"23AD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠑⠄"}},"key":"23AE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠋⠄"}},"key":"23AF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠴⠄"}},"key":"23B0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠂⠄"}},"key":"23B1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠆⠄"}},"key":"23B2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠒⠄"}},"key":"23B3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠲⠄"}},"key":"23B4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠢⠄"}},"key":"23B5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠖⠄"}},"key":"23B6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠶⠄"}},"key":"23B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠦⠄"}},"key":"23B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠔⠄"}},"key":"23B9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠙⠉⠄"}},"key":"23DC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠙⠙⠄"}},"key":"23DD"},{"category":"Sm","mappings":{"default":{"default":"⠣⠨⠷"}},"key":"23DE"},{"category":"Sm","mappings":{"default":{"default":"⠣⠨⠾"}},"key":"23DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠑⠴⠄"}},"key":"23E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠑⠂⠄"}},"key":"23E1"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠦⠄"}},"key":"2768"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠔⠄"}},"key":"2769"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠁⠄"}},"key":"276A"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠃⠄"}},"key":"276B"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠉⠄"}},"key":"276C"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠙⠄"}},"key":"276D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠑⠄"}},"key":"276E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠋⠄"}},"key":"276F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠴⠄"}},"key":"2770"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠂⠄"}},"key":"2771"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠆⠄"}},"key":"2772"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠒⠄"}},"key":"2773"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠲⠄"}},"key":"2774"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠢⠄"}},"key":"2775"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠢⠄"}},"key":"27C5"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠖⠄"}},"key":"27C6"},{"category":"Ps","mappings":{"default":{"default":"⠈⠸⠷"}},"key":"27E6"},{"category":"Pe","mappings":{"default":{"default":"⠈⠸⠾"}},"key":"27E7"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠷"}},"key":"27E8"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠾"}},"key":"27E9"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠨⠷"}},"key":"27EA"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠨⠾"}},"key":"27EB"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠉⠄"}},"key":"27EC"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠙⠄"}},"key":"27ED"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠑⠄"}},"key":"27EE"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠋⠄"}},"key":"27EF"},{"category":"Ps","mappings":{"default":{"default":"⠨⠸⠷"}},"key":"2983"},{"category":"Pe","mappings":{"default":{"default":"⠨⠸⠾"}},"key":"2984"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠢⠄"}},"key":"2985"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠖⠄"}},"key":"2986"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠶⠄"}},"key":"2987"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠦⠄"}},"key":"2988"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠔⠄"}},"key":"2989"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠁⠄"}},"key":"298A"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠃⠄"}},"key":"298B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠉⠄"}},"key":"298C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠙⠄"}},"key":"298D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠑⠄"}},"key":"298E"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠋⠄"}},"key":"298F"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠴⠄"}},"key":"2990"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠂⠄"}},"key":"2991"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠆⠄"}},"key":"2992"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠒⠄"}},"key":"2993"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠲⠄"}},"key":"2994"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠢⠄"}},"key":"2995"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠖⠄"}},"key":"2996"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠶⠄"}},"key":"2997"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠦⠄"}},"key":"2998"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠦⠄"}},"key":"29D8"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠔⠄"}},"key":"29D9"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠁⠄"}},"key":"29DA"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠃⠄"}},"key":"29DB"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠉⠄"}},"key":"29FC"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠙⠄"}},"key":"29FD"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠆⠄"}},"key":"2E22"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠒⠄"}},"key":"2E23"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠲⠄"}},"key":"2E24"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠢⠄"}},"key":"2E25"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠖⠄"}},"key":"2E26"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠶⠄"}},"key":"2E27"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠦⠄"}},"key":"2E28"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠔⠄"}},"key":"2E29"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠷"}},"key":"3008"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠾"}},"key":"3009"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠨⠷"}},"key":"300A"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠨⠾"}},"key":"300B"},{"category":"Ps","mappings":{"default":{"default":"⠈⠘⠷"}},"key":"300C"},{"category":"Pe","mappings":{"default":{"default":"⠈⠘⠾"}},"key":"300D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠴⠑⠄"}},"key":"300E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠴⠋⠄"}},"key":"300F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠴⠄"}},"key":"3010"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠂⠄"}},"key":"3011"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠲⠄"}},"key":"3014"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠢⠄"}},"key":"3015"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠖⠄"}},"key":"3016"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠶⠄"}},"key":"3017"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠦⠄"}},"key":"3018"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠔⠄"}},"key":"3019"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠁⠄"}},"key":"301A"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠃⠄"}},"key":"301B"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠙⠄"}},"key":"301D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠑⠄"}},"key":"301E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠋⠄"}},"key":"301F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠙⠒⠑⠄"}},"key":"FD3E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠙⠒⠋⠄"}},"key":"FD3F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠶⠄"}},"key":"FE17"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠦⠄"}},"key":"FE18"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠢⠄"}},"key":"FE35"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠖⠄"}},"key":"FE36"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠶⠄"}},"key":"FE37"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠦⠄"}},"key":"FE38"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠔⠄"}},"key":"FE39"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠁⠄"}},"key":"FE3A"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠃⠄"}},"key":"FE3B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠉⠄"}},"key":"FE3C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠙⠄"}},"key":"FE3D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠑⠄"}},"key":"FE3E"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠋⠄"}},"key":"FE3F"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠴⠄"}},"key":"FE40"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠂⠄"}},"key":"FE41"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠆⠄"}},"key":"FE42"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠒⠄"}},"key":"FE43"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠲⠄"}},"key":"FE44"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠶⠄"}},"key":"FE47"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠦⠄"}},"key":"FE48"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠔⠄"}},"key":"FE59"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠁⠄"}},"key":"FE5A"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠃⠄"}},"key":"FE5B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠉⠄"}},"key":"FE5C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠙⠄"}},"key":"FE5D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠑⠄"}},"key":"FE5E"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠦⠄"}},"key":"FF08"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠔⠄"}},"key":"FF09"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠃⠄"}},"key":"FF3B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠙⠄"}},"key":"FF3D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠃⠄"}},"key":"FF5B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠙⠄"}},"key":"FF5D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠋⠄"}},"key":"FF5F"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠖⠴⠄"}},"key":"FF60"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠖⠆⠄"}},"key":"FF62"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠖⠒⠄"}},"key":"FF63"}]
+,
+"nemeth/symbols/math_geometry.js": 
+[{"locale":"nemeth"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠴⠄"}},"key":"2500"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠂⠄"}},"key":"2501"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠆⠄"}},"key":"2502"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠒⠄"}},"key":"2503"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠲⠄"}},"key":"2504"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠢⠄"}},"key":"2505"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠖⠄"}},"key":"2506"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠶⠄"}},"key":"2507"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠦⠄"}},"key":"2508"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠔⠄"}},"key":"2509"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠁⠄"}},"key":"250A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠃⠄"}},"key":"250B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠉⠄"}},"key":"250C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠙⠄"}},"key":"250D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠑⠄"}},"key":"250E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠋⠄"}},"key":"250F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠴⠄"}},"key":"2510"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠂⠄"}},"key":"2511"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠆⠄"}},"key":"2512"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠒⠄"}},"key":"2513"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠲⠄"}},"key":"2514"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠢⠄"}},"key":"2515"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠖⠄"}},"key":"2516"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠶⠄"}},"key":"2517"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠦⠄"}},"key":"2518"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠔⠄"}},"key":"2519"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠁⠄"}},"key":"251A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠃⠄"}},"key":"251B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠉⠄"}},"key":"251C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠙⠄"}},"key":"251D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠑⠄"}},"key":"251E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠋⠄"}},"key":"251F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠴⠄"}},"key":"2520"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠂⠄"}},"key":"2521"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠆⠄"}},"key":"2522"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠒⠄"}},"key":"2523"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠲⠄"}},"key":"2524"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠢⠄"}},"key":"2525"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠖⠄"}},"key":"2526"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠶⠄"}},"key":"2527"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠦⠄"}},"key":"2528"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠔⠄"}},"key":"2529"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠁⠄"}},"key":"252A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠃⠄"}},"key":"252B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠉⠄"}},"key":"252C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠙⠄"}},"key":"252D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠑⠄"}},"key":"252E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠋⠄"}},"key":"252F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠴⠄"}},"key":"2530"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠂⠄"}},"key":"2531"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠆⠄"}},"key":"2532"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠒⠄"}},"key":"2533"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠲⠄"}},"key":"2534"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠢⠄"}},"key":"2535"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠖⠄"}},"key":"2536"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠶⠄"}},"key":"2537"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠦⠄"}},"key":"2538"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠔⠄"}},"key":"2539"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠁⠄"}},"key":"253A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠃⠄"}},"key":"253B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠉⠄"}},"key":"253C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠙⠄"}},"key":"253D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠑⠄"}},"key":"253E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠋⠄"}},"key":"253F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠴⠄"}},"key":"2540"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠂⠄"}},"key":"2541"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠆⠄"}},"key":"2542"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠒⠄"}},"key":"2543"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠲⠄"}},"key":"2544"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠢⠄"}},"key":"2545"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠖⠄"}},"key":"2546"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠶⠄"}},"key":"2547"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠦⠄"}},"key":"2548"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠔⠄"}},"key":"2549"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠁⠄"}},"key":"254A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠃⠄"}},"key":"254B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠉⠄"}},"key":"254C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠙⠄"}},"key":"254D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠑⠄"}},"key":"254E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠋⠄"}},"key":"254F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠴⠄"}},"key":"2550"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠂⠄"}},"key":"2551"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠆⠄"}},"key":"2552"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠒⠄"}},"key":"2553"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠲⠄"}},"key":"2554"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠢⠄"}},"key":"2555"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠖⠄"}},"key":"2556"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠶⠄"}},"key":"2557"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠦⠄"}},"key":"2558"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠔⠄"}},"key":"2559"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠁⠄"}},"key":"255A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠃⠄"}},"key":"255B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠉⠄"}},"key":"255C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠙⠄"}},"key":"255D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠑⠄"}},"key":"255E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠋⠄"}},"key":"255F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠴⠄"}},"key":"2560"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠂⠄"}},"key":"2561"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠆⠄"}},"key":"2562"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠒⠄"}},"key":"2563"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠲⠄"}},"key":"2564"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠢⠄"}},"key":"2565"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠖⠄"}},"key":"2566"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠶⠄"}},"key":"2567"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠦⠄"}},"key":"2568"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠔⠄"}},"key":"2569"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠁⠄"}},"key":"256A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠃⠄"}},"key":"256B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠉⠄"}},"key":"256C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠙⠄"}},"key":"256D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠑⠄"}},"key":"256E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠋⠄"}},"key":"256F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠴⠄"}},"key":"2570"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠂⠄"}},"key":"2571"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠆⠄"}},"key":"2572"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠒⠄"}},"key":"2573"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠲⠄"}},"key":"2574"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠢⠄"}},"key":"2575"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠖⠄"}},"key":"2576"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠶⠄"}},"key":"2577"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠦⠄"}},"key":"2578"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠔⠄"}},"key":"2579"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠁⠄"}},"key":"257A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠃⠄"}},"key":"257B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠉⠄"}},"key":"257C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠙⠄"}},"key":"257D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠑⠄"}},"key":"257E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠋⠄"}},"key":"257F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠴⠄"}},"key":"2580"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠂⠄"}},"key":"2581"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠆⠄"}},"key":"2582"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠒⠄"}},"key":"2583"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠲⠄"}},"key":"2584"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠢⠄"}},"key":"2585"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠖⠄"}},"key":"2586"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠶⠄"}},"key":"2587"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠦⠄"}},"key":"2588"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠔⠄"}},"key":"2589"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠁⠄"}},"key":"258A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠃⠄"}},"key":"258B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠉⠄"}},"key":"258C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠙⠄"}},"key":"258D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠑⠄"}},"key":"258E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠋⠄"}},"key":"258F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠴⠄"}},"key":"2590"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠂⠄"}},"key":"2591"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠆⠄"}},"key":"2592"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠒⠄"}},"key":"2593"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠲⠄"}},"key":"2594"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠢⠄"}},"key":"2595"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠖⠄"}},"key":"2596"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠶⠄"}},"key":"2597"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠦⠄"}},"key":"2598"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠔⠄"}},"key":"2599"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠁⠄"}},"key":"259A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠃⠄"}},"key":"259B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠉⠄"}},"key":"259C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠙⠄"}},"key":"259D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠑⠄"}},"key":"259E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠋⠄"}},"key":"259F"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠲"}},"key":"25A0"},{"category":"So","mappings":{"default":{"default":"⠫⠲"}},"key":"25A1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠆⠄"}},"key":"25A2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠒⠄"}},"key":"25A3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠲⠄"}},"key":"25A4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠢⠄"}},"key":"25A5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠖⠄"}},"key":"25A6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠶⠄"}},"key":"25A7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠦⠄"}},"key":"25A8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠔⠄"}},"key":"25A9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠁⠄"}},"key":"25AA"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠗"}},"key":"25AB"},{"category":"So","mappings":{"default":{"default":"⠫⠗"}},"key":"25AC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠙⠄"}},"key":"25AD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠑⠄"}},"key":"25AE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠋⠄"}},"key":"25AF"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠛"}},"key":"25B0"},{"category":"So","mappings":{"default":{"default":"⠫⠛"}},"key":"25B1"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠞"}},"key":"25B2"},{"category":"So","mappings":{"default":{"default":"⠫⠞"}},"key":"25B3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠲⠄"}},"key":"25B4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠢⠄"}},"key":"25B5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠖⠄"}},"key":"25B6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠶⠄"}},"key":"25B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠦⠄"}},"key":"25B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠔⠄"}},"key":"25B9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠁⠄"}},"key":"25BA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠃⠄"}},"key":"25BB"},{"category":"So","mappings":{"default":{"default":"⠸⠨⠫"}},"key":"25BC"},{"category":"So","mappings":{"default":{"default":"⠨⠫"}},"key":"25BD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠑⠄"}},"key":"25BE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠋⠄"}},"key":"25BF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠴⠄"}},"key":"25C0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠂⠄"}},"key":"25C1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠆⠄"}},"key":"25C2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠒⠄"}},"key":"25C3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠲⠄"}},"key":"25C4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠢⠄"}},"key":"25C5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠖⠄"}},"key":"25C6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠶⠄"}},"key":"25C7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠦⠄"}},"key":"25C8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠔⠄"}},"key":"25C9"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠉"}},"key":"25CA"},{"category":"So","mappings":{"default":{"default":"⠫⠉"}},"key":"25CB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠉⠄"}},"key":"25CC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠙⠄"}},"key":"25CD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠑⠄"}},"key":"25CE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠋⠄"}},"key":"25CF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠴⠄"}},"key":"25D0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠂⠄"}},"key":"25D1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠆⠄"}},"key":"25D2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠒⠄"}},"key":"25D3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠲⠄"}},"key":"25D4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠢⠄"}},"key":"25D5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠖⠄"}},"key":"25D6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠶⠄"}},"key":"25D7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠦⠄"}},"key":"25D8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠔⠄"}},"key":"25D9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠁⠄"}},"key":"25DA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠃⠄"}},"key":"25DB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠉⠄"}},"key":"25DC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠙⠄"}},"key":"25DD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠑⠄"}},"key":"25DE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠋⠄"}},"key":"25DF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠴⠄"}},"key":"25E0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠂⠄"}},"key":"25E1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠆⠄"}},"key":"25E2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠒⠄"}},"key":"25E3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠲⠄"}},"key":"25E4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠢⠄"}},"key":"25E5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠖⠄"}},"key":"25E6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠶⠄"}},"key":"25E7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠦⠄"}},"key":"25E8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠔⠄"}},"key":"25E9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠁⠄"}},"key":"25EA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠃⠄"}},"key":"25EB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠉⠄"}},"key":"25EC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠙⠄"}},"key":"25ED"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠑⠄"}},"key":"25EE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠋⠄"}},"key":"25EF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠴⠄"}},"key":"25F0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠂⠄"}},"key":"25F1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠆⠄"}},"key":"25F2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠒⠄"}},"key":"25F3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠲⠄"}},"key":"25F4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠢⠄"}},"key":"25F5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠖⠄"}},"key":"25F6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠶⠄"}},"key":"25F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠦⠄"}},"key":"25F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠔⠄"}},"key":"25F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠁⠄"}},"key":"25FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠃⠄"}},"key":"25FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠉⠄"}},"key":"25FC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠙⠄"}},"key":"25FD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠑⠄"}},"key":"25FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠋⠄"}},"key":"25FF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠆⠄"}},"key":"2B12"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠒⠄"}},"key":"2B13"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠲⠄"}},"key":"2B14"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠢⠄"}},"key":"2B15"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠖⠄"}},"key":"2B16"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠶⠄"}},"key":"2B17"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠦⠄"}},"key":"2B18"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠔⠄"}},"key":"2B19"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠁⠄"}},"key":"2B1A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠃⠄"}},"key":"2B1B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠉⠄"}},"key":"2B1C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠙⠄"}},"key":"2B1D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠑⠄"}},"key":"2B1E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠋⠄"}},"key":"2B1F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠴⠄"}},"key":"2B20"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠂⠄"}},"key":"2B21"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠆⠄"}},"key":"2B22"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠒⠄"}},"key":"2B23"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠲⠄"}},"key":"2B24"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠢⠄"}},"key":"2B25"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠖⠄"}},"key":"2B26"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠶⠄"}},"key":"2B27"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠦⠄"}},"key":"2B28"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠔⠄"}},"key":"2B29"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠁⠄"}},"key":"2B2A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠃⠄"}},"key":"2B2B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠉⠄"}},"key":"2B2C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠙⠄"}},"key":"2B2D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠑⠄"}},"key":"2B2E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠋⠄"}},"key":"2B2F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠴⠄"}},"key":"2B50"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠂⠄"}},"key":"2B51"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠆⠄"}},"key":"2B52"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠒⠄"}},"key":"2B53"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠲⠄"}},"key":"2B54"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠢⠄"}},"key":"2B55"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠖⠄"}},"key":"2B56"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠶⠄"}},"key":"2B57"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠦⠄"}},"key":"2B58"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠔⠄"}},"key":"2B59"}]
+,
+"nemeth/symbols/math_harpoons.js": 
+[{"locale":"nemeth"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠈⠪⠒⠒⠀"}},"key":"21BC"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠠⠪⠒⠒⠀"}},"key":"21BD"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠠⠕⠀"}},"key":"21BE"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠈⠕⠀"}},"key":"21BF"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠈⠕⠀"}},"key":"21C0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠠⠕⠀"}},"key":"21C1"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠈⠕⠀"}},"key":"21C2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠠⠕⠀"}},"key":"21C3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠈⠪⠒⠒⠫⠒⠒⠈⠕⠀"}},"key":"21CB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠈⠕⠫⠈⠪⠒⠒⠀"}},"key":"21CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠁⠄"}},"key":"294A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠃⠄"}},"key":"294B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠉⠄"}},"key":"294C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠙⠄"}},"key":"294D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠑⠄"}},"key":"294E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠋⠄"}},"key":"294F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠴⠄"}},"key":"2950"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠂⠄"}},"key":"2951"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠆⠄"}},"key":"2952"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠒⠄"}},"key":"2953"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠲⠄"}},"key":"2954"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠢⠄"}},"key":"2955"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠖⠄"}},"key":"2956"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠶⠄"}},"key":"2957"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠦⠄"}},"key":"2958"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠔⠄"}},"key":"2959"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠁⠄"}},"key":"295A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠃⠄"}},"key":"295B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠉⠄"}},"key":"295C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠙⠄"}},"key":"295D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠑⠄"}},"key":"295E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠋⠄"}},"key":"295F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠴⠄"}},"key":"2960"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠂⠄"}},"key":"2961"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠆⠄"}},"key":"2962"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠒⠄"}},"key":"2963"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠲⠄"}},"key":"2964"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠢⠄"}},"key":"2965"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠖⠄"}},"key":"2966"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠶⠄"}},"key":"2967"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠦⠄"}},"key":"2968"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠔⠄"}},"key":"2969"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠁⠄"}},"key":"296A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠃⠄"}},"key":"296B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠉⠄"}},"key":"296C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠙⠄"}},"key":"296D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠑⠄"}},"key":"296E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠋⠄"}},"key":"296F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠉⠄"}},"key":"297C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠙⠄"}},"key":"297D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠑⠄"}},"key":"297E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠋⠄"}},"key":"297F"}]
+,
+"nemeth/symbols/math_non_characters.js": 
+[{"locale":"nemeth"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠴⠋⠄"}},"key":"210F"},{"category":"So","mappings":{"default":{"default":"⠳"}},"key":"2114"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠖⠄"}},"key":"2116"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠶⠄"}},"key":"2117"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠑⠄"}},"key":"211E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠋⠄"}},"key":"211F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠴⠄"}},"key":"2120"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠂⠄"}},"key":"2121"},{"category":"So","mappings":{"default":{"default":"⠘⠞"}},"key":"2122"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠒⠄"}},"key":"2123"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠢⠄"}},"key":"2125"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠖⠄"}},"key":"2126"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠶⠄"}},"key":"2127"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠁⠄"}},"key":"212A"},{"category":"Lu","mappings":{"default":{"default":"⠀⠈⠠⠁"}},"key":"212B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠑⠄"}},"key":"212E"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠆⠄"}},"key":"2132"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠔⠄"}},"key":"2139"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠁⠄"}},"key":"213A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠃⠄"}},"key":"213B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠂⠄"}},"key":"2141"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠆⠄"}},"key":"2142"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠒⠄"}},"key":"2143"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠲⠄"}},"key":"2144"}]
+,
+"nemeth/symbols/math_symbols.js": 
+[{"locale":"nemeth"},{"category":"Po","mappings":{"default":{"default":"⠖"}},"key":"0021"},{"category":"Po","mappings":{"default":{"default":"⠹"}},"key":"0022"},{"category":"Po","mappings":{"default":{"default":"⠨⠼"}},"key":"0023"},{"category":"Sc","mappings":{"default":{"default":"⠈⠎"}},"key":"0024"},{"category":"Po","mappings":{"default":{"default":"⠈⠴"}},"key":"0025"},{"category":"Po","mappings":{"default":{"default":"⠸⠯"}},"key":"0026"},{"category":"Po","mappings":{"default":{"default":"⠄"}},"key":"0027"},{"category":"Po","mappings":{"default":{"default":"⠈⠼"}},"key":"002A"},{"category":"Sm","mappings":{"default":{"default":"⠬"}},"key":"002B"},{"category":"Po","mappings":{"default":{"default":"⠠","defaultLibLouis":"⠠⠀"}},"key":"002C"},{"category":"Pd","mappings":{"default":{"default":"⠤"}},"key":"002D"},{"category":"Po","mappings":{"default":{"default":"⠨","other":"⠲"}},"key":"002E"},{"category":"Po","mappings":{"default":{"default":"⠸⠌"}},"key":"002F"},{"category":"Po","mappings":{"default":{"default":"⠒"}},"key":"003A"},{"category":"Po","mappings":{"default":{"default":"⠆"}},"key":"003B"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠀"}},"key":"003C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠅⠀"}},"key":"003D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠀"}},"key":"003E"},{"category":"Po","mappings":{"default":{"default":"⠸⠦"}},"key":"003F"},{"category":"Po","mappings":{"default":{"default":"⠈⠁"}},"key":"0040"},{"category":"Po","mappings":{"default":{"default":"⠸⠡"}},"key":"005C"},{"category":"Sk","mappings":{"default":{"default":"⡘"}},"key":"005E"},{"category":"Pc","mappings":{"default":{"default":"⠸"}},"key":"005F"},{"category":"Sk","mappings":{"default":{"default":"⠈"}},"key":"0060"},{"category":"Sm","mappings":{"default":{"default":"⠳"}},"key":"007C"},{"category":"Sm","mappings":{"default":{"default":"⠈⠱"}},"key":"007E"},{"category":"Po","mappings":{"default":{"default":"⠖"}},"key":"00A1"},{"category":"Sc","mappings":{"default":{"default":"⠈⠉"}},"key":"00A2"},{"category":"Sc","mappings":{"default":{"default":"⠼"}},"key":"00A3"},{"category":"Sc","mappings":{"default":{"default":"⠫"}},"key":"00A4"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠢⠄"}},"key":"00A5"},{"category":"So","mappings":{"default":{"default":"⠸⠳"}},"key":"00A6"},{"category":"Po","mappings":{"default":{"default":"⠈⠠⠎"}},"key":"00A7"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠦⠄"}},"key":"00A8"},{"category":"So","mappings":{"default":{"default":"⠘⠉"}},"key":"00A9"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠁⠄"}},"key":"00AA"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠃⠄"}},"key":"00AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠉⠄"}},"key":"00AC"},{"category":"So","mappings":{"default":{"default":"⠘⠗"}},"key":"00AE"},{"category":"Sk","mappings":{"default":{"default":"⠱"}},"key":"00AF"},{"category":"So","mappings":{"default":{"default":"⠘⠨⠡"}},"key":"00B0"},{"category":"Sm","mappings":{"default":{"default":"⠬⠤"}},"key":"00B1"},{"category":"Sk","mappings":{"default":{"default":"⠈"}},"key":"00B4"},{"category":"Ll","mappings":{"default":{"default":"⠨⠍"}},"key":"00B5"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠖⠄"}},"key":"00B6"},{"category":"Po","mappings":{"default":{"default":"⠡"}},"key":"00B7"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠦⠄"}},"key":"00B8"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠁⠄"}},"key":"00BA"},{"category":"Pf","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠃⠄"}},"key":"00BB"},{"category":"Po","mappings":{"default":{"default":"⠦"}},"key":"00BF"},{"category":"Sm","mappings":{"default":{"default":"⠈⠡"}},"key":"00D7"},{"category":"Sm","mappings":{"default":{"default":"⠈⠌"}},"key":"00F7"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠦⠄"}},"key":"02D8"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠔⠄"}},"key":"02D9"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠁⠄"}},"key":"02DA"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠃⠄"}},"key":"02DB"},{"category":"Sk","mappings":{"default":{"default":"⠈⠱"}},"key":"02DC"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠙⠄"}},"key":"02DD"},{"category":"Pd","mappings":{"default":{"default":"⠤"}},"key":"2010"},{"category":"Pd","mappings":{"default":{"default":"⠤"}},"key":"2011"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2012"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2013"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2014"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2015"},{"category":"Po","mappings":{"default":{"default":"⠳⠳"}},"key":"2016"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠶⠄"}},"key":"2017"},{"category":"Pi","mappings":{"default":{"default":"⠠⠦"}},"key":"2018"},{"category":"Pf","mappings":{"default":{"default":"⠄"}},"key":"2019"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠁⠄"}},"key":"201A"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠃⠄"}},"key":"201B"},{"category":"Pi","mappings":{"default":{"default":"⠦"}},"key":"201C"},{"category":"Pf","mappings":{"default":{"default":"⠴"}},"key":"201D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠑⠄"}},"key":"201E"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠋⠄"}},"key":"201F"},{"category":"Po","mappings":{"default":{"default":"⠸⠻"}},"key":"2020"},{"category":"Po","mappings":{"default":{"default":"⠸⠸⠻"}},"key":"2021"},{"category":"Po","mappings":{"default":{"default":"⠔⠔"}},"key":"2022"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠒⠄"}},"key":"2023"},{"category":"Po","mappings":{"default":{"default":"⠄"}},"key":"2024"},{"category":"Po","mappings":{"default":{"default":"⠄⠄"}},"key":"2025"},{"category":"Po","mappings":{"default":{"default":"⠄⠄⠄"}},"key":"2026"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠶⠄"}},"key":"2027"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠴⠄"}},"key":"2030"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠂⠄"}},"key":"2031"},{"category":"Po","mappings":{"default":{"default":"⠄"}},"key":"2032"},{"category":"Po","mappings":{"default":{"default":"⠄⠄"}},"key":"2033"},{"category":"Po","mappings":{"default":{"default":"⠄⠄⠄"}},"key":"2034"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠢⠄"}},"key":"2035"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠖⠄"}},"key":"2036"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠶⠄"}},"key":"2037"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠦⠄"}},"key":"2038"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠔⠄"}},"key":"2039"},{"category":"Pf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠁⠄"}},"key":"203A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠃⠄"}},"key":"203B"},{"category":"Po","mappings":{"default":{"default":"⠖⠖"}},"key":"203C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠙⠄"}},"key":"203D"},{"category":"Po","mappings":{"default":{"default":"⠱"}},"key":"203E"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠋⠄"}},"key":"203F"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠴⠄"}},"key":"2040"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠂⠄"}},"key":"2041"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠆⠄"}},"key":"2042"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠒⠄"}},"key":"2043"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠲⠄"}},"key":"2044"},{"category":"Po","mappings":{"default":{"default":"⠹⠹"}},"key":"2047"},{"category":"Po","mappings":{"default":{"default":"⠹⠖"}},"key":"2048"},{"category":"Po","mappings":{"default":{"default":"⠖⠹"}},"key":"2049"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠃⠄"}},"key":"204B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠉⠄"}},"key":"204C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠙⠄"}},"key":"204D"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠑⠄"}},"key":"204E"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠋⠄"}},"key":"204F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠴⠄"}},"key":"2050"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠂⠄"}},"key":"2051"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠆⠄"}},"key":"2052"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠒⠄"}},"key":"2053"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠲⠄"}},"key":"2054"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠢⠄"}},"key":"2055"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠖⠄"}},"key":"2056"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠶⠄"}},"key":"2057"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠦⠄"}},"key":"2058"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠔⠄"}},"key":"2059"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠁⠄"}},"key":"205A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠃⠄"}},"key":"205B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠉⠄"}},"key":"205C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠙⠄"}},"key":"205D"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠑⠄"}},"key":"205E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠁⠄"}},"key":"207A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠃⠄"}},"key":"207B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠉⠄"}},"key":"207C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠙⠄"}},"key":"207D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠑⠄"}},"key":"207E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠁⠄"}},"key":"208A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠃⠄"}},"key":"208B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠉⠄"}},"key":"208C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠙⠄"}},"key":"208D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠑⠄"}},"key":"208E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠁⠄"}},"key":"214A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠃⠄"}},"key":"214B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠉⠄"}},"key":"214C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠙⠄"}},"key":"214D"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠑⠄"}},"key":"214E"},{"category":"Sm","mappings":{"default":{"default":"⠈⠯"}},"key":"2200"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠴⠂⠄"}},"key":"2201"},{"category":"Sm","mappings":{"default":{"default":"⠈⠿"}},"key":"2203"},{"category":"Sm","mappings":{"default":{"default":"⠌⠈⠿"}},"key":"2204"},{"category":"Sm","mappings":{"default":{"default":"⠸⠴"}},"key":"2205"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠴⠖⠄"}},"key":"2206"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠑⠀"}},"key":"2208"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠈⠑⠀"}},"key":"2209"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠑⠀"}},"key":"220A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠨⠁⠀"}},"key":"220B"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠨⠁⠀"}},"key":"220C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠢⠀"}},"key":"220D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠳⠀"}},"key":"220E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠴⠋⠄"}},"key":"220F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠴⠄"}},"key":"2210"},{"category":"Sm","mappings":{"default":{"default":"⠨⠠⠎"}},"key":"2211"},{"category":"Sm","mappings":{"default":{"default":"⠤"}},"key":"2212"},{"category":"Sm","mappings":{"default":{"default":"⠤⠬"}},"key":"2213"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠲⠄"}},"key":"2214"},{"category":"Sm","mappings":{"default":{"default":"⠸⠌"}},"key":"2215"},{"category":"Sm","mappings":{"default":{"default":"⠸⠡"}},"key":"2216"},{"category":"Sm","mappings":{"default":{"default":"⠈⠼"}},"key":"2217"},{"category":"Sm","mappings":{"default":{"default":"⠘⠨⠡"}},"key":"2218"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠔⠄"}},"key":"2219"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠁⠄"}},"key":"221A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠃⠄"}},"key":"221B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠉⠄"}},"key":"221C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠰⠆⠀"}},"key":"221D"},{"category":"Sm","mappings":{"default":{"default":"⠠⠿"}},"key":"221E"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪⠨⠗⠻"}},"key":"221F"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪"}},"key":"2220"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪⠸⠫⠫⠁⠻"}},"key":"2221"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪⠸⠫⠫⠁⠻"}},"key":"2222"},{"category":"Sm","mappings":{"default":{"default":"⠳"}},"key":"2223"},{"category":"Sm","mappings":{"default":{"default":"⠌⠳"}},"key":"2224"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠇⠀"}},"key":"2225"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠫⠇⠀"}},"key":"2226"},{"category":"Sm","mappings":{"default":{"default":"⠈⠩"}},"key":"2227"},{"category":"Sm","mappings":{"default":{"default":"⠈⠬"}},"key":"2228"},{"category":"Sm","mappings":{"default":{"default":"⠨⠩"}},"key":"2229"},{"category":"Sm","mappings":{"default":{"default":"⠨⠬"}},"key":"222A"},{"category":"Sm","mappings":{"default":{"default":"⠮"}},"key":"222B"},{"category":"Sm","mappings":{"default":{"default":"⠮⠮"}},"key":"222C"},{"category":"Sm","mappings":{"default":{"default":"⠮⠮⠮"}},"key":"222D"},{"category":"Sm","mappings":{"default":{"default":"⠮⠈⠫⠉⠻"}},"key":"222E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠆⠋⠄"}},"key":"222F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠴⠄"}},"key":"2230"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠂⠄"}},"key":"2231"},{"category":"Sm","mappings":{"default":{"default":"⠮⠈⠫⠪⠢⠔⠻"}},"key":"2232"},{"category":"Sm","mappings":{"default":{"default":"⠮⠈⠫⠢⠔⠕⠻"}},"key":"2233"},{"category":"Sm","mappings":{"default":{"default":"⠀⠠⠡⠀"}},"key":"2234"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠌⠀"}},"key":"2235"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠂⠀"}},"key":"2236"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠶⠄"}},"key":"2237"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠦⠄"}},"key":"2238"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠔⠄"}},"key":"2239"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠁⠄"}},"key":"223A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠃⠄"}},"key":"223B"},{"category":"Sm","mappings":{"default":{"default":"⠈⠱"}},"key":"223C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠙⠄"}},"key":"223D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠑⠄"}},"key":"223E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠋⠄"}},"key":"223F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠴⠄"}},"key":"2240"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠂⠄"}},"key":"2241"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠆⠄"}},"key":"2242"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠒⠄"}},"key":"2243"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠲⠄"}},"key":"2244"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠱⠈⠱⠀"}},"key":"2245"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠖⠄"}},"key":"2246"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠶⠄"}},"key":"2247"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠦⠄"}},"key":"2248"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠔⠄"}},"key":"2249"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠁⠄"}},"key":"224A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠃⠄"}},"key":"224B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠉⠄"}},"key":"224C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠣⠠⠣⠀"}},"key":"224D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠑⠄"}},"key":"224E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠋⠄"}},"key":"224F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠴⠄"}},"key":"2250"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠂⠄"}},"key":"2251"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠆⠄"}},"key":"2252"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠒⠄"}},"key":"2253"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠲⠄"}},"key":"2254"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠢⠄"}},"key":"2255"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠖⠄"}},"key":"2256"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠶⠄"}},"key":"2257"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠦⠄"}},"key":"2258"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠔⠄"}},"key":"2259"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠁⠄"}},"key":"225A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠃⠄"}},"key":"225B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠉⠄"}},"key":"225C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠙⠄"}},"key":"225D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠑⠄"}},"key":"225E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠋⠄"}},"key":"225F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠅⠀"}},"key":"2260"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠇⠀"}},"key":"2261"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠇⠀"}},"key":"2262"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠖⠒⠄"}},"key":"2263"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠱⠀"}},"key":"2264"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠱⠀"}},"key":"2265"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠨⠅⠀"}},"key":"2266"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠨⠅⠀"}},"key":"2267"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠌⠨⠅⠀"}},"key":"2268"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠌⠨⠅⠀"}},"key":"2269"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠈⠐⠅⠻⠀"}},"key":"226A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠈⠨⠂⠻⠀"}},"key":"226B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠖⠉⠄"}},"key":"226C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠈⠣⠠⠣⠀"}},"key":"226D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠀"}},"key":"226E"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠀"}},"key":"226F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠱⠀"}},"key":"2270"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠱⠀"}},"key":"2271"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠈⠱⠀"}},"key":"2272"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠈⠱⠀"}},"key":"2273"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠈⠱⠀"}},"key":"2274"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠈⠱⠀"}},"key":"2275"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠨⠂⠀"}},"key":"2276"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠐⠅⠀"}},"key":"2277"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠨⠂⠀"}},"key":"2278"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠐⠅⠀"}},"key":"2279"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠀"}},"key":"227A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠀"}},"key":"227B"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠱⠀"}},"key":"227C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠱⠀"}},"key":"227D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠈⠱⠀"}},"key":"227E"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠈⠱⠀"}},"key":"227F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠐⠅⠀"}},"key":"2280"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠐⠅⠀"}},"key":"2281"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠐⠅⠀"}},"key":"2282"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠨⠂⠀"}},"key":"2283"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠐⠅⠀"}},"key":"2284"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠨⠂⠀"}},"key":"2285"},{"category":"Sm","mappings":{"default":{"default":"⠸⠀⠅⠱"}},"key":"2286"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠱⠀"}},"key":"2287"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠀⠅⠱⠀"}},"key":"2288"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠱⠀"}},"key":"2289"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠐⠅⠌⠨⠅⠀"}},"key":"228A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠨⠂⠌⠨⠅⠀"}},"key":"228B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠉⠄"}},"key":"228C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠙⠄"}},"key":"228D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠑⠄"}},"key":"228E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠋⠄"}},"key":"228F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠴⠄"}},"key":"2290"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠂⠄"}},"key":"2291"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠆⠄"}},"key":"2292"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠒⠄"}},"key":"2293"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠲⠄"}},"key":"2294"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠬⠻"}},"key":"2295"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠤⠻"}},"key":"2296"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠡⠻"}},"key":"2297"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠸⠌⠻"}},"key":"2298"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠡⠻"}},"key":"2299"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠘⠨⠡⠻"}},"key":"229A"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠼⠻"}},"key":"229B"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠨⠅⠻"}},"key":"229C"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠤⠤⠻"}},"key":"229D"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠬⠻"}},"key":"229E"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠤⠻"}},"key":"229F"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠈⠡⠻"}},"key":"22A0"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠡⠻"}},"key":"22A1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠆⠄"}},"key":"22A2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠒⠄"}},"key":"22A3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠲⠄"}},"key":"22A4"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠏⠀"}},"key":"22A5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠖⠄"}},"key":"22A6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠶⠄"}},"key":"22A7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠦⠄"}},"key":"22A8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠔⠄"}},"key":"22A9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠁⠄"}},"key":"22AA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠃⠄"}},"key":"22AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠉⠄"}},"key":"22AC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠙⠄"}},"key":"22AD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠑⠄"}},"key":"22AE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠋⠄"}},"key":"22AF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠴⠄"}},"key":"22B0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠂⠄"}},"key":"22B1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠆⠄"}},"key":"22B2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠒⠄"}},"key":"22B3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠲⠄"}},"key":"22B4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠢⠄"}},"key":"22B5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠖⠄"}},"key":"22B6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠶⠄"}},"key":"22B7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠦⠄"}},"key":"22B8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠔⠄"}},"key":"22B9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠁⠄"}},"key":"22BA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠃⠄"}},"key":"22BB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠉⠄"}},"key":"22BC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠙⠄"}},"key":"22BD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠋⠄"}},"key":"22BF"},{"category":"Sm","mappings":{"default":{"default":"⠈⠩"}},"key":"22C0"},{"category":"Sm","mappings":{"default":{"default":"⠈⠬"}},"key":"22C1"},{"category":"Sm","mappings":{"default":{"default":"⠨⠩"}},"key":"22C2"},{"category":"Sm","mappings":{"default":{"default":"⠨⠬"}},"key":"22C3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠲⠄"}},"key":"22C4"},{"category":"Sm","mappings":{"default":{"default":"⠡"}},"key":"22C5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠖⠄"}},"key":"22C6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠶⠄"}},"key":"22C7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠦⠄"}},"key":"22C8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠔⠄"}},"key":"22C9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠁⠄"}},"key":"22CA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠃⠄"}},"key":"22CB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠉⠄"}},"key":"22CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠙⠄"}},"key":"22CD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠑⠄"}},"key":"22CE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠋⠄"}},"key":"22CF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠴⠄"}},"key":"22D0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠂⠄"}},"key":"22D1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠆⠄"}},"key":"22D2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠒⠄"}},"key":"22D3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠲⠄"}},"key":"22D4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠢⠄"}},"key":"22D5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠖⠄"}},"key":"22D6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠶⠄"}},"key":"22D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠦⠄"}},"key":"22D8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠔⠄"}},"key":"22D9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠁⠄"}},"key":"22DA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠃⠄"}},"key":"22DB"},{"category":"Sm","mappings":{"default":{"default":"⠀⠱⠐⠅⠀"}},"key":"22DC"},{"category":"Sm","mappings":{"default":{"default":"⠀⠱⠨⠂⠀"}},"key":"22DD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠑⠄"}},"key":"22DE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠋⠄"}},"key":"22DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠴⠄"}},"key":"22E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠂⠄"}},"key":"22E1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠆⠄"}},"key":"22E2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠒⠄"}},"key":"22E3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠲⠄"}},"key":"22E4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠢⠄"}},"key":"22E5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠖⠄"}},"key":"22E6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠶⠄"}},"key":"22E7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠦⠄"}},"key":"22E8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠔⠄"}},"key":"22E9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠁⠄"}},"key":"22EA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠃⠄"}},"key":"22EB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠉⠄"}},"key":"22EC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠙⠄"}},"key":"22ED"},{"category":"Sm","mappings":{"default":{"default":"⠣⠄⠄⠄"}},"key":"22EE"},{"category":"Sm","mappings":{"default":{"default":"⠄⠄⠄"}},"key":"22EF"},{"category":"Sm","mappings":{"default":{"default":"⠘⠄⠄⠄"}},"key":"22F0"},{"category":"Sm","mappings":{"default":{"default":"⠰⠄⠄⠄"}},"key":"22F1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠆⠄"}},"key":"22F2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠒⠄"}},"key":"22F3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠲⠄"}},"key":"22F4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠢⠄"}},"key":"22F5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠖⠄"}},"key":"22F6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠶⠄"}},"key":"22F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠦⠄"}},"key":"22F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠔⠄"}},"key":"22F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠁⠄"}},"key":"22FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠃⠄"}},"key":"22FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠉⠄"}},"key":"22FC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠙⠄"}},"key":"22FD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠑⠄"}},"key":"22FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠋⠄"}},"key":"22FF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠴⠄"}},"key":"2300"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠆⠄"}},"key":"2302"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠢⠄"}},"key":"2305"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠖⠄"}},"key":"2306"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠶⠄"}},"key":"2307"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠴⠄"}},"key":"2310"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠂⠄"}},"key":"2311"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠆⠄"}},"key":"2312"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠒⠄"}},"key":"2313"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠲⠄"}},"key":"2314"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠢⠄"}},"key":"2795"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠖⠄"}},"key":"2796"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠶⠄"}},"key":"2797"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠴⠄"}},"key":"27B0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠋⠄"}},"key":"27BF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠂⠄"}},"key":"27C1"},{"category":"Sm","mappings":{"default":{"default":"⠫⠏"}},"key":"27C2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠒⠄"}},"key":"27C3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠲⠄"}},"key":"27C4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠶⠄"}},"key":"27C7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠦⠄"}},"key":"27C8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠔⠄"}},"key":"27C9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠁⠄"}},"key":"27CA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠃⠄"}},"key":"27CB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠉⠄"}},"key":"27CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠙⠄"}},"key":"27CD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠑⠄"}},"key":"27CE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠋⠄"}},"key":"27CF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠴⠄"}},"key":"27D0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠂⠄"}},"key":"27D1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠆⠄"}},"key":"27D2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠒⠄"}},"key":"27D3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠲⠄"}},"key":"27D4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠢⠄"}},"key":"27D5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠖⠄"}},"key":"27D6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠶⠄"}},"key":"27D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠦⠄"}},"key":"27D8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠔⠄"}},"key":"27D9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠁⠄"}},"key":"27DA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠃⠄"}},"key":"27DB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠉⠄"}},"key":"27DC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠙⠄"}},"key":"27DD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠑⠄"}},"key":"27DE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠋⠄"}},"key":"27DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠴⠄"}},"key":"27E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠂⠄"}},"key":"27E1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠆⠄"}},"key":"27E2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠒⠄"}},"key":"27E3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠲⠄"}},"key":"27E4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠢⠄"}},"key":"27E5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠃⠄"}},"key":"292B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠉⠄"}},"key":"292C"},{"category":"Sm","mappings":{"default":{"default":"⠳⠳⠳"}},"key":"2980"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠂⠄"}},"key":"2981"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠆⠄"}},"key":"2982"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠔⠄"}},"key":"2999"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠁⠄"}},"key":"299A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠴⠄"}},"key":"29B0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠂⠄"}},"key":"29B1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠆⠄"}},"key":"29B2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠢⠄"}},"key":"29B5"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠳⠻"}},"key":"29B6"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠫⠇⠻"}},"key":"29B7"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠸⠡⠻"}},"key":"29B8"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠫⠏⠻"}},"key":"29B9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠁⠄"}},"key":"29BA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠃⠄"}},"key":"29BB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠉⠄"}},"key":"29BC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠑⠄"}},"key":"29BE"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠔⠔⠻"}},"key":"29BF"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠐⠅⠻"}},"key":"29C0"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠨⠂⠻"}},"key":"29C1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠆⠄"}},"key":"29C2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠒⠄"}},"key":"29C3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠲⠄"}},"key":"29C4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠢⠄"}},"key":"29C5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠖⠄"}},"key":"29C6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠶⠄"}},"key":"29C7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠦⠄"}},"key":"29C8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠔⠄"}},"key":"29C9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠁⠄"}},"key":"29CA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠃⠄"}},"key":"29CB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠉⠄"}},"key":"29CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠙⠄"}},"key":"29CD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠑⠄"}},"key":"29CE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠋⠄"}},"key":"29CF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠴⠄"}},"key":"29D0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠂⠄"}},"key":"29D1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠆⠄"}},"key":"29D2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠒⠄"}},"key":"29D3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠲⠄"}},"key":"29D4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠢⠄"}},"key":"29D5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠖⠄"}},"key":"29D6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠶⠄"}},"key":"29D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠉⠄"}},"key":"29DC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠙⠄"}},"key":"29DD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠑⠄"}},"key":"29DE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠋⠄"}},"key":"29DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠴⠄"}},"key":"29E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠂⠄"}},"key":"29E1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠆⠄"}},"key":"29E2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠒⠄"}},"key":"29E3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠲⠄"}},"key":"29E4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠢⠄"}},"key":"29E5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠖⠄"}},"key":"29E6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠶⠄"}},"key":"29E7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠦⠄"}},"key":"29E8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠔⠄"}},"key":"29E9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠃⠄"}},"key":"29EB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠑⠄"}},"key":"29EE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠋⠄"}},"key":"29EF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠴⠄"}},"key":"29F0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠂⠄"}},"key":"29F1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠆⠄"}},"key":"29F2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠒⠄"}},"key":"29F3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠲⠄"}},"key":"29F4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠢⠄"}},"key":"29F5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠖⠄"}},"key":"29F6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠶⠄"}},"key":"29F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠦⠄"}},"key":"29F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠔⠄"}},"key":"29F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠁⠄"}},"key":"29FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠃⠄"}},"key":"29FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠑⠄"}},"key":"29FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠋⠄"}},"key":"29FF"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠡⠻"}},"key":"2A00"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠬⠻"}},"key":"2A01"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠡⠻"}},"key":"2A02"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠒⠄"}},"key":"2A03"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠲⠄"}},"key":"2A04"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠢⠄"}},"key":"2A05"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠖⠄"}},"key":"2A06"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠶⠄"}},"key":"2A07"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠦⠄"}},"key":"2A08"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠔⠄"}},"key":"2A09"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠁⠄"}},"key":"2A0A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠃⠄"}},"key":"2A0B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠉⠄"}},"key":"2A0C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠙⠄"}},"key":"2A0D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠑⠄"}},"key":"2A0E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠋⠄"}},"key":"2A0F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠴⠄"}},"key":"2A10"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠂⠄"}},"key":"2A11"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠆⠄"}},"key":"2A12"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠒⠄"}},"key":"2A13"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠲⠄"}},"key":"2A14"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠢⠄"}},"key":"2A15"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠖⠄"}},"key":"2A16"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠦⠄"}},"key":"2A18"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠔⠄"}},"key":"2A19"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠁⠄"}},"key":"2A1A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠃⠄"}},"key":"2A1B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠉⠄"}},"key":"2A1C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠙⠄"}},"key":"2A1D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠑⠄"}},"key":"2A1E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠋⠄"}},"key":"2A1F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠴⠄"}},"key":"2A20"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠂⠄"}},"key":"2A21"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠆⠄"}},"key":"2A22"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠒⠄"}},"key":"2A23"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠲⠄"}},"key":"2A24"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠢⠄"}},"key":"2A25"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠖⠄"}},"key":"2A26"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠶⠄"}},"key":"2A27"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠦⠄"}},"key":"2A28"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠔⠄"}},"key":"2A29"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠁⠄"}},"key":"2A2A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠃⠄"}},"key":"2A2B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠉⠄"}},"key":"2A2C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠙⠄"}},"key":"2A2D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠑⠄"}},"key":"2A2E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠋⠄"}},"key":"2A2F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠴⠄"}},"key":"2A30"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠂⠄"}},"key":"2A31"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠆⠄"}},"key":"2A32"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠒⠄"}},"key":"2A33"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠲⠄"}},"key":"2A34"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠢⠄"}},"key":"2A35"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠖⠄"}},"key":"2A36"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠶⠄"}},"key":"2A37"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠌⠻"}},"key":"2A38"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠔⠄"}},"key":"2A39"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠁⠄"}},"key":"2A3A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠃⠄"}},"key":"2A3B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠉⠄"}},"key":"2A3C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠙⠄"}},"key":"2A3D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠑⠄"}},"key":"2A3E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠋⠄"}},"key":"2A3F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠴⠄"}},"key":"2A40"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠂⠄"}},"key":"2A41"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠆⠄"}},"key":"2A42"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠒⠄"}},"key":"2A43"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠲⠄"}},"key":"2A44"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠢⠄"}},"key":"2A45"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠖⠄"}},"key":"2A46"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠶⠄"}},"key":"2A47"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠦⠄"}},"key":"2A48"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠔⠄"}},"key":"2A49"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠁⠄"}},"key":"2A4A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠃⠄"}},"key":"2A4B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠉⠄"}},"key":"2A4C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠙⠄"}},"key":"2A4D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠑⠄"}},"key":"2A4E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠋⠄"}},"key":"2A4F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠴⠄"}},"key":"2A50"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠂⠄"}},"key":"2A51"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠆⠄"}},"key":"2A52"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠒⠄"}},"key":"2A53"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠲⠄"}},"key":"2A54"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠢⠄"}},"key":"2A55"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠖⠄"}},"key":"2A56"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠶⠄"}},"key":"2A57"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠦⠄"}},"key":"2A58"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠔⠄"}},"key":"2A59"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠁⠄"}},"key":"2A5A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠃⠄"}},"key":"2A5B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠉⠄"}},"key":"2A5C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠙⠄"}},"key":"2A5D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠑⠄"}},"key":"2A5E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠋⠄"}},"key":"2A5F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠴⠄"}},"key":"2A60"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠂⠄"}},"key":"2A61"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠆⠄"}},"key":"2A62"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠒⠄"}},"key":"2A63"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠲⠄"}},"key":"2A64"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠢⠄"}},"key":"2A65"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠖⠄"}},"key":"2A66"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠶⠄"}},"key":"2A67"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠦⠄"}},"key":"2A68"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠔⠄"}},"key":"2A69"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠁⠄"}},"key":"2A6A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠃⠄"}},"key":"2A6B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠉⠄"}},"key":"2A6C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠙⠄"}},"key":"2A6D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠑⠄"}},"key":"2A6E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠋⠄"}},"key":"2A6F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠴⠄"}},"key":"2A70"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠂⠄"}},"key":"2A71"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠆⠄"}},"key":"2A72"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠒⠄"}},"key":"2A73"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠲⠄"}},"key":"2A74"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠢⠄"}},"key":"2A75"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠖⠄"}},"key":"2A76"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠶⠄"}},"key":"2A77"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠦⠄"}},"key":"2A78"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠔⠄"}},"key":"2A79"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠁⠄"}},"key":"2A7A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠃⠄"}},"key":"2A7B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠉⠄"}},"key":"2A7C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠙⠄"}},"key":"2A7D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠑⠄"}},"key":"2A7E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠋⠄"}},"key":"2A7F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠴⠄"}},"key":"2A80"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠂⠄"}},"key":"2A81"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠆⠄"}},"key":"2A82"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠒⠄"}},"key":"2A83"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠲⠄"}},"key":"2A84"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠢⠄"}},"key":"2A85"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠖⠄"}},"key":"2A86"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠶⠄"}},"key":"2A87"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠦⠄"}},"key":"2A88"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠔⠄"}},"key":"2A89"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠁⠄"}},"key":"2A8A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠃⠄"}},"key":"2A8B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠉⠄"}},"key":"2A8C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠙⠄"}},"key":"2A8D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠑⠄"}},"key":"2A8E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠋⠄"}},"key":"2A8F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠴⠄"}},"key":"2A90"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠂⠄"}},"key":"2A91"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠆⠄"}},"key":"2A92"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠒⠄"}},"key":"2A93"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠲⠄"}},"key":"2A94"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠢⠄"}},"key":"2A95"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠖⠄"}},"key":"2A96"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠶⠄"}},"key":"2A97"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠦⠄"}},"key":"2A98"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠔⠄"}},"key":"2A99"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠁⠄"}},"key":"2A9A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠃⠄"}},"key":"2A9B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠉⠄"}},"key":"2A9C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠙⠄"}},"key":"2A9D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠑⠄"}},"key":"2A9E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠋⠄"}},"key":"2A9F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠴⠄"}},"key":"2AA0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠂⠄"}},"key":"2AA1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠆⠄"}},"key":"2AA2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠒⠄"}},"key":"2AA3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠲⠄"}},"key":"2AA4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠢⠄"}},"key":"2AA5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠖⠄"}},"key":"2AA6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠶⠄"}},"key":"2AA7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠦⠄"}},"key":"2AA8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠔⠄"}},"key":"2AA9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠁⠄"}},"key":"2AAA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠃⠄"}},"key":"2AAB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠉⠄"}},"key":"2AAC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠙⠄"}},"key":"2AAD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠑⠄"}},"key":"2AAE"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠱⠀"}},"key":"2AAF"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠱⠀"}},"key":"2AB0"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠌⠱⠀"}},"key":"2AB1"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠌⠱⠀"}},"key":"2AB2"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠨⠅⠀"}},"key":"2AB3"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠨⠅⠀"}},"key":"2AB4"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠌⠨⠅⠀"}},"key":"2AB5"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠌⠨⠅⠀"}},"key":"2AB6"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠈⠱⠈⠱⠀"}},"key":"2AB7"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠈⠱⠈⠱⠀"}},"key":"2AB8"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠌⠈⠱⠈⠱⠀"}},"key":"2AB9"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠌⠈⠱⠈⠱⠀"}},"key":"2ABA"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠈⠨⠐⠅⠻⠀"}},"key":"2ABB"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠈⠨⠨⠐⠻⠀"}},"key":"2ABC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠃⠙⠄"}},"key":"2ABD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠃⠑⠄"}},"key":"2ABE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠃⠋⠄"}},"key":"2ABF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠴⠄"}},"key":"2AC0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠂⠄"}},"key":"2AC1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠆⠄"}},"key":"2AC2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠒⠄"}},"key":"2AC3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠲⠄"}},"key":"2AC4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠢⠄"}},"key":"2AC5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠖⠄"}},"key":"2AC6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠶⠄"}},"key":"2AC7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠦⠄"}},"key":"2AC8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠔⠄"}},"key":"2AC9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠁⠄"}},"key":"2ACA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠃⠄"}},"key":"2ACB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠉⠄"}},"key":"2ACC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠙⠄"}},"key":"2ACD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠑⠄"}},"key":"2ACE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠋⠄"}},"key":"2ACF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠴⠄"}},"key":"2AD0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠂⠄"}},"key":"2AD1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠆⠄"}},"key":"2AD2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠒⠄"}},"key":"2AD3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠲⠄"}},"key":"2AD4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠢⠄"}},"key":"2AD5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠖⠄"}},"key":"2AD6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠶⠄"}},"key":"2AD7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠦⠄"}},"key":"2AD8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠔⠄"}},"key":"2AD9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠁⠄"}},"key":"2ADA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠃⠄"}},"key":"2ADB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠉⠄"}},"key":"2ADC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠙⠄"}},"key":"2ADD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠑⠄"}},"key":"2ADE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠋⠄"}},"key":"2ADF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠴⠄"}},"key":"2AE0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠂⠄"}},"key":"2AE1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠆⠄"}},"key":"2AE2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠒⠄"}},"key":"2AE3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠲⠄"}},"key":"2AE4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠢⠄"}},"key":"2AE5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠖⠄"}},"key":"2AE6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠶⠄"}},"key":"2AE7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠦⠄"}},"key":"2AE8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠔⠄"}},"key":"2AE9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠁⠄"}},"key":"2AEA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠃⠄"}},"key":"2AEB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠉⠄"}},"key":"2AEC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠙⠄"}},"key":"2AED"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠑⠄"}},"key":"2AEE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠋⠄"}},"key":"2AEF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠴⠄"}},"key":"2AF0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠂⠄"}},"key":"2AF1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠆⠄"}},"key":"2AF2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠒⠄"}},"key":"2AF3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠲⠄"}},"key":"2AF4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠢⠄"}},"key":"2AF5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠖⠄"}},"key":"2AF6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠶⠄"}},"key":"2AF7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠦⠄"}},"key":"2AF8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠔⠄"}},"key":"2AF9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠁⠄"}},"key":"2AFA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠃⠄"}},"key":"2AFB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠉⠄"}},"key":"2AFC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠙⠄"}},"key":"2AFD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠑⠄"}},"key":"2AFE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠋⠄"}},"key":"2AFF"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠉⠄"}},"key":"301C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠴⠄"}},"key":"FE10"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠒⠄"}},"key":"FE13"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠲⠄"}},"key":"FE14"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠢⠄"}},"key":"FE15"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠖⠄"}},"key":"FE16"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠔⠄"}},"key":"FE19"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠴⠄"}},"key":"FE30"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠂⠄"}},"key":"FE31"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠆⠄"}},"key":"FE32"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠒⠄"}},"key":"FE33"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠲⠄"}},"key":"FE34"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠢⠄"}},"key":"FE45"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠖⠄"}},"key":"FE46"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠔⠄"}},"key":"FE49"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠁⠄"}},"key":"FE4A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠃⠄"}},"key":"FE4B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠉⠄"}},"key":"FE4C"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠙⠄"}},"key":"FE4D"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠑⠄"}},"key":"FE4E"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠋⠄"}},"key":"FE4F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠴⠄"}},"key":"FE50"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠆⠄"}},"key":"FE52"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠲⠄"}},"key":"FE54"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠢⠄"}},"key":"FE55"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠖⠄"}},"key":"FE56"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠶⠄"}},"key":"FE57"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠦⠄"}},"key":"FE58"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠋⠄"}},"key":"FE5F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠴⠄"}},"key":"FE60"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠂⠄"}},"key":"FE61"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠆⠄"}},"key":"FE62"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠒⠄"}},"key":"FE63"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠲⠄"}},"key":"FE64"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠢⠄"}},"key":"FE65"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠖⠄"}},"key":"FE66"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠦⠄"}},"key":"FE68"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠔⠄"}},"key":"FE69"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠁⠄"}},"key":"FE6A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠃⠄"}},"key":"FE6B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠂⠄"}},"key":"FF01"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠆⠄"}},"key":"FF02"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠒⠄"}},"key":"FF03"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠲⠄"}},"key":"FF04"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠢⠄"}},"key":"FF05"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠖⠄"}},"key":"FF06"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠶⠄"}},"key":"FF07"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠁⠄"}},"key":"FF0A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠃⠄"}},"key":"FF0B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠉⠄"}},"key":"FF0C"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠙⠄"}},"key":"FF0D"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠑⠄"}},"key":"FF0E"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠋⠄"}},"key":"FF0F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠁⠄"}},"key":"FF1A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠃⠄"}},"key":"FF1B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠉⠄"}},"key":"FF1C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠙⠄"}},"key":"FF1D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠑⠄"}},"key":"FF1E"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠋⠄"}},"key":"FF1F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠆⠴⠄"}},"key":"FF20"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠉⠄"}},"key":"FF3C"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠑⠄"}},"key":"FF3E"},{"category":"Pc","mappings":{"default":{"default":"⠱"}},"key":"FF3F"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠲⠴⠄"}},"key":"FF40"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠉⠄"}},"key":"FF5C"},{"category":"Sm","mappings":{"default":{"default":"⠈⠱"}},"key":"FF5E"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠴⠄"}},"key":"FFE0"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠂⠄"}},"key":"FFE1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠆⠄"}},"key":"FFE2"},{"category":"Sk","mappings":{"default":{"default":"⠱"}},"key":"FFE3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠲⠄"}},"key":"FFE4"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠢⠄"}},"key":"FFE5"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠖⠄"}},"key":"FFE6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠦⠄"}},"key":"FFE8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠙⠄"}},"key":"FFED"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠑⠄"}},"key":"FFEE"}]
+,
+"nemeth/symbols/math_whitespace.js": 
+[{"locale":"nemeth"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"0020"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"00A0"},{"category":"Cf","mappings":{"default":{"default":"⠤"}},"key":"00AD"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2000"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2001"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2002"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2003"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2004"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2005"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2006"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2007"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2008"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2009"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"200A"},{"category":"Cf","mappings":{"default":{"default":"⠀"}},"key":"200B"},{"category":"Cf","mappings":{"default":{"default":""}},"key":"200C"},{"category":"Cf","mappings":{"default":{"default":""}},"key":"200D"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠴⠑⠄"}},"key":"200E"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠴⠋⠄"}},"key":"200F"},{"category":"Zl","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠦⠄"}},"key":"2028"},{"category":"Zp","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠔⠄"}},"key":"2029"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠁⠄"}},"key":"202A"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠃⠄"}},"key":"202B"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠉⠄"}},"key":"202C"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠙⠄"}},"key":"202D"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠑⠄"}},"key":"202E"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"202F"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"205F"},{"category":"Cf","mappings":{"default":{"default":""}},"key":"2060"},{"category":"Cf","mappings":{"default":{"default":"⠀"}},"key":"2061"},{"category":"Cf","mappings":{"default":{"default":"⠈⠡"}},"key":"2062"},{"category":"Cf","mappings":{"default":{"default":"⠠"}},"key":"2063"},{"category":"Cf","mappings":{"default":{"default":"⠬"}},"key":"2064"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠁⠄"}},"key":"206A"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠃⠄"}},"key":"206B"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠑⠄"}},"key":"206E"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠋⠄"}},"key":"206F"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠋⠋⠄"}},"key":"FEFF"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠋⠔⠄"}},"key":"FFF9"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠋⠁⠄"}},"key":"FFFA"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠋⠃⠄"}},"key":"FFFB"}]
+,
+"nemeth/symbols/other_stars.js": 
+[{"locale":"nemeth"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠑⠦⠄"}},"key":"23E8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠖⠴⠢⠄"}},"key":"2605"},{"category":"So","mappings":{"default":{"default":"⠫⠎"}},"key":"2606"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠖⠁⠁⠄"}},"key":"26AA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠖⠁⠃⠄"}},"key":"26AB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠴⠢⠄"}},"key":"2705"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠒⠄"}},"key":"2713"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠲⠄"}},"key":"2714"},{"category":"So","mappings":{"default":{"default":"⠈⠡"}},"key":"2715"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠖⠄"}},"key":"2716"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠶⠄"}},"key":"2717"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠦⠄"}},"key":"2718"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠃⠄"}},"key":"271B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠉⠄"}},"key":"271C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠴⠄"}},"key":"2720"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠂⠄"}},"key":"2721"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠆⠄"}},"key":"2722"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠒⠄"}},"key":"2723"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠲⠄"}},"key":"2724"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠢⠄"}},"key":"2725"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠖⠄"}},"key":"2726"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠶⠄"}},"key":"2727"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠦⠄"}},"key":"2728"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠔⠄"}},"key":"2729"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠁⠄"}},"key":"272A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠃⠄"}},"key":"272B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠉⠄"}},"key":"272C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠙⠄"}},"key":"272D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠑⠄"}},"key":"272E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠋⠄"}},"key":"272F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠴⠄"}},"key":"2730"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠂⠄"}},"key":"2731"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠆⠄"}},"key":"2732"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠒⠄"}},"key":"2733"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠲⠄"}},"key":"2734"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠢⠄"}},"key":"2735"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠖⠄"}},"key":"2736"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠔⠄"}},"key":"2739"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠁⠄"}},"key":"273A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠃⠄"}},"key":"273B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠉⠄"}},"key":"273C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠙⠄"}},"key":"273D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠑⠄"}},"key":"273E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠋⠄"}},"key":"273F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠴⠄"}},"key":"2740"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠂⠄"}},"key":"2741"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠆⠄"}},"key":"2742"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠒⠄"}},"key":"2743"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠲⠄"}},"key":"2744"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠢⠄"}},"key":"2745"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠖⠄"}},"key":"2746"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠶⠄"}},"key":"2747"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠦⠄"}},"key":"2748"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠔⠄"}},"key":"2749"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠁⠄"}},"key":"274A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠃⠄"}},"key":"274B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠉⠄"}},"key":"274C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠙⠄"}},"key":"274D"}]
+,
+"nemeth/units/energy.js": 
+[{"locale":"nemeth"},{"category":"energy","mappings":{"default":{"default":"⠠⠺"}},"key":"W","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"⠅⠠⠺"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"⠍⠠⠺"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"⠅⠺⠓"}},"key":"kwh","names":["kwh","kWh"]},{"category":"energy","mappings":{"default":{"default":"⠠⠚"}},"key":"J","names":["J"]},{"category":"energy","mappings":{"default":{"default":"⠠⠝"}},"key":"N","names":["N"]},{"category":"energy","mappings":{"default":{"default":"⠠⠁"}},"key":"A","names":["A"]},{"category":"energy","mappings":{"default":{"default":"⠠⠧"}},"key":"V","names":["V"]},{"category":"energy","mappings":{"default":{"default":"⠨⠍⠨⠠⠺"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"⠍⠨⠠⠺"}},"key":"mΩ","names":["mΩ"]},{"category":"energy","mappings":{"default":{"default":"⠨⠠⠺"}},"key":"Ω","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"⠅⠨⠠⠺"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"⠨⠠⠺"}},"key":"Ω","names":["Ω"]},{"category":"energy","mappings":{"default":{"default":"⠍⠨⠠⠺"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"⠛⠨⠠⠺"}},"key":"GΩ","names":["GΩ"]}]
+,
+"nemeth/units/length.js": 
+[{"locale":"nemeth"},{"category":"Length","mappings":{"default":{"default":"⠍⠍"}},"key":"mm","names":["mm"]},{"category":"Length","mappings":{"default":{"default":"⠉⠍"}},"key":"cm","names":["cm"]},{"category":"Length","mappings":{"default":{"default":"⠍"}},"key":"m","names":["m"]},{"category":"Length","mappings":{"default":{"default":"⠅⠍"}},"key":"km","names":["km"]},{"category":"Length","mappings":{"default":{"default":"⠋⠞"}},"key":"ft","names":["ft","ft."]},{"category":"Length","mappings":{"default":{"default":"⠊⠝"}},"key":"in","names":["in","in."]},{"category":"Length","mappings":{"default":{"default":"⠍⠊"}},"key":"mi","names":["mi","mi."]},{"category":"Length","mappings":{"default":{"default":"⠽⠙"}},"key":"yd","names":["yd","yd."]},{"category":"","mappings":{"default":{"default":"⠝⠲⠍⠸⠲"}},"key":"n.m.","names":["n.m."]}]
+,
+"nemeth/units/memory.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠃"}},"key":"b","names":["b"]},{"category":"","mappings":{"default":{"default":"⠠⠃"}},"key":"B","names":["B"]},{"category":"","mappings":{"default":{"default":"⠅⠃"}},"key":"KB","names":["KB"]},{"category":"","mappings":{"default":{"default":"⠍⠃"}},"key":"MB","names":["MB"]},{"category":"","mappings":{"default":{"default":"⠛⠃"}},"key":"GB","names":["GB"]},{"category":"","mappings":{"default":{"default":"⠞⠃"}},"key":"TB","names":["TB"]}]
+,
+"nemeth/units/other.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠙⠕⠵"}},"key":"doz","names":["doz","doz.","dz","dz."]},{"category":"","mappings":{"default":{"default":"⠎⠟"}},"key":"sq","names":["sq","sq."]},{"category":"","mappings":{"default":{"default":"⠓⠁"}},"key":"ha","names":["ha"]}]
+,
+"nemeth/units/speed.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠅⠞"}},"key":"kt","names":["kt","kt."]},{"category":"","mappings":{"default":{"default":"⠍⠏⠓"}},"key":"mph","names":["mph"]},{"category":"","mappings":{"default":{"default":"⠗⠏⠍"}},"key":"rpm","names":["rpm"]},{"category":"","mappings":{"default":{"default":"⠅⠍⠓"}},"key":"kmh","names":["kmh"]}]
+,
+"nemeth/units/temperature.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠠⠋"}},"key":"F","names":["F","F.","°F"]},{"category":"","mappings":{"default":{"default":"⠠⠉"}},"key":"C","names":["C","°C"]},{"category":"","mappings":{"default":{"default":"⠠⠅"}},"key":"K","names":["K","°K"]}]
+,
+"nemeth/units/time.js": 
+[{"locale":"nemeth"},{"category":"time","mappings":{"default":{"default":"⠝⠎"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"⠨⠍⠎"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"⠍⠎"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"⠎"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"⠍⠊⠝⠀"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"⠓"}},"key":"h","names":["h","hr"]}]
+,
+"nemeth/units/volume.js": 
+[{"locale":"nemeth"},{"category":"volume","mappings":{"default":{"default":"⠃⠃⠇"}},"key":"bbl","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"⠉⠥"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"⠋⠇⠸⠲⠀⠕⠵⠸⠲"}},"key":"fl. oz.","names":["fl. oz."]},{"category":"volume","mappings":{"default":{"default":"⠛⠁⠇"}},"key":"gal","names":["gal","gal."]},{"category":"volume","mappings":{"default":{"default":"⠏⠞"}},"key":"pt","names":["pt","pt."]},{"category":"volume","mappings":{"default":{"default":"⠟⠞"}},"key":"qt","names":["qt","qt."]},{"category":"volume","mappings":{"default":{"default":"⠞⠃⠎⠏"}},"key":"tbsp","names":["tbsp","tbsp."]},{"category":"volume","mappings":{"default":{"default":"⠞⠎⠏"}},"key":"tsp","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"⠉⠉"}},"key":"cc","names":["cc"]},{"category":"volume","mappings":{"default":{"default":"⠅⠇"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"⠇"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"⠍⠇"}},"key":"ml","names":["ml"]}]
 ,
-"es/weight.js": 
-[{"locale":"es"},{"key":"lb","names":["lb","lb."],"mappings":{"default":{"default":"libra"}}},{"key":"LT","names":["LT","L.T."],"mappings":{"default":{"default":"libras imperiales"}}},{"key":"oz","names":["oz","oz."],"mappings":{"default":{"default":"onza"}}},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"microgramo"}}},{"key":"gr","names":["g","gr"],"mappings":{"default":{"default":"gramo"}}},{"key":"kg","names":["kg"],"mappings":{"default":{"default":"kilogramo"}}},{"key":"mg","names":["mg"],"mappings":{"default":{"default":"miligramo"}}},{"key":"t","names":["t","T"],"mappings":{"default":{"default":"tonelada"}}}]
+"nemeth/units/weight.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠇⠃"}},"key":"lb","names":["lb","lb."]},{"category":"","mappings":{"default":{"default":"⠇⠞"}},"key":"LT","names":["LT","L.T."]},{"category":"","mappings":{"default":{"default":"⠕⠵"}},"key":"oz","names":["oz","oz."]},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"⠨⠍⠛"}}},{"category":"","mappings":{"default":{"default":"⠛⠗"}},"key":"gr","names":["g","gr"]},{"category":"","mappings":{"default":{"default":"⠅⠛"}},"key":"kg","names":["kg"]},{"category":"","mappings":{"default":{"default":"⠍⠉⠛"}},"key":"mcg","names":["mg","µg"]},{"category":"","mappings":{"default":{"default":"⠍⠛"}},"key":"mg","names":["mg"]},{"category":"","mappings":{"default":{"default":"⠞"}},"key":"t","names":["t","T"]}]
 }
 
diff --git a/unpacked/extensions/a11y/mathmaps/nemeth.js b/unpacked/extensions/a11y/mathmaps/nemeth.js
new file mode 100644
index 0000000000..92665a9b74
--- /dev/null
+++ b/unpacked/extensions/a11y/mathmaps/nemeth.js
@@ -0,0 +1,104 @@
+{
+"nemeth/functions/algebra.js": 
+[{"locale":"nemeth"},{"category":"Algebra","mappings":{"default":{"default":"⠙⠑⠛"}},"key":"deg","names":["deg"]},{"category":"Algebra","mappings":{"default":{"default":"⠙⠑⠞"}},"key":"det","names":["det"]},{"category":"Algebra","mappings":{"default":{"default":"⠙⠊⠍"}},"key":"dim","names":["dim"]},{"category":"Algebra","mappings":{"default":{"default":"⠓⠕⠍"}},"key":"hom","names":["hom","Hom"]},{"category":"Algebra","mappings":{"default":{"default":"⠅⠑⠗"}},"key":"ker","names":["ker"]},{"category":"Algebra","mappings":{"default":{"default":"⠠⠞⠗"}},"key":"Tr","names":["Tr","tr"]}]
+,
+"nemeth/functions/elementary.js": 
+[{"locale":"nemeth"},{"category":"Logarithm","mappings":{"default":{"default":"⠇⠕⠏⠀"}},"key":"log","names":["log"]},{"category":"Logarithm","mappings":{"default":{"default":"⠇⠝⠀"}},"key":"ln","names":["ln"]},{"category":"Logarithm","mappings":{"default":{"default":"⠇⠛"}},"key":"lg","names":["lg"]},{"category":"Elementary","mappings":{"default":{"default":"⠑⠭⠏"}},"key":"exp","names":["exp","expt"]},{"category":"Elementary","mappings":{"default":{"default":"⠛⠉⠙"}},"key":"gcd","names":["gcd"]},{"category":"Elementary","mappings":{"default":{"default":"⠇⠉⠍"}},"key":"lcm","names":["lcm"]},{"category":"Complex","mappings":{"default":{"default":"⠁⠗⠛⠀"}},"key":"arg","names":["arg"]},{"category":"Complex","mappings":{"default":{"default":"⠊⠍"}},"key":"im","names":["im"]},{"category":"Complex","mappings":{"default":{"default":"⠗⠑"}},"key":"re","names":["re"]},{"category":"Limits","mappings":{"default":{"default":"⠊⠝⠋⠀"}},"key":"inf","names":["inf"]},{"category":"Limits","mappings":{"default":{"default":"⠇⠊⠍"}},"key":"lim","names":["lim"]},{"category":"Limits","mappings":{"default":{"default":"⠇⠊⠍⠊⠝⠀⠋"}},"key":"liminf","names":["lim inf","liminf"]},{"category":"Limits","mappings":{"default":{"default":"⠇⠊⠍⠎⠥⠏"}},"key":"limsup","names":["lim sup","limsup"]},{"category":"Limits","mappings":{"default":{"default":"⠍⠁⠭⠀"}},"key":"max","names":["max"]},{"category":"Limits","mappings":{"default":{"default":"⠍⠊⠝⠀"}},"key":"min","names":["min"]},{"category":"Limits","mappings":{"default":{"default":"⠎⠥⠏"}},"key":"sup","names":["sup"]},{"category":"Limits","mappings":{"default":{"default":"⠊⠝⠚⠇⠊⠍"}},"key":"injlim","names":["injlim","inj lim"]},{"category":"Limits","mappings":{"default":{"default":"⠏⠗⠕⠚⠇⠊⠍"}},"key":"projlim","names":["projlim","proj lim"]},{"category":"Elementary","mappings":{"default":{"default":"⠍⠕⠙"}},"key":"mod","names":["mod"]},{"category":"Probability","mappings":{"default":{"default":"⠠⠏⠗"}},"key":"Pr","names":["Pr"]}]
+,
+"nemeth/functions/hyperbolic.js": 
+[{"locale":"nemeth"},{"category":"Hyperbolic","mappings":{"default":{"default":"⠉⠕⠎⠓⠀"}},"key":"cosh","names":["cosh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠉⠕⠞⠓⠀"}},"key":"coth","names":["coth"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠉⠎⠉⠓⠀"}},"key":"csch","names":["csch"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠎⠑⠉⠓⠀"}},"key":"sech","names":["sech"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠎⠊⠝⠓⠀"}},"key":"sinh","names":["sinh"]},{"category":"Hyperbolic","mappings":{"default":{"default":"⠞⠁⠕⠓⠀"}},"key":"tanh","names":["tanh"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠉⠀⠕⠎⠓"}},"key":"arcosh","names":["arcosh","arccosh"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠉⠀⠕⠞⠓"}},"key":"arcoth","names":["arcoth","arccoth"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠉⠀⠎⠉⠓"}},"key":"arcsch","names":["arcsch","arccsch"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠎⠑⠉⠓⠀"}},"key":"arsech","names":["arsech","arcsech"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠎⠊⠝⠓⠀"}},"key":"arsinh","names":["arsinh","arcsinh"]},{"category":"Area","mappings":{"default":{"default":"⠁⠗⠞⠁⠕⠓⠀"}},"key":"artanh","names":["artanh","arctanh"]}]
+,
+"nemeth/functions/trigonometry.js": 
+[{"locale":"nemeth"},{"category":"Trigonometric","mappings":{"default":{"default":"⠉⠕⠎⠀"}},"key":"cos","names":["cos","cosine"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠉⠕⠞⠀"}},"key":"cot","names":["cot"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠉⠎⠉⠀"}},"key":"csc","names":["csc"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠎⠑⠉⠀"}},"key":"sec","names":["sec"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠎⠊⠝⠀"}},"key":"sin","names":["sin","sine"]},{"category":"Trigonometric","mappings":{"default":{"default":"⠞⠁⠝⠀"}},"key":"tan","names":["tan"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠉⠕⠎⠀"}},"key":"arccos","names":["arccos"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠉⠕⠞⠀"}},"key":"arccot","names":["arccot"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠉⠎⠉⠀"}},"key":"arccsc","names":["arccsc"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠎⠑⠉⠀"}},"key":"arcsec","names":["arcsec"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠎⠊⠝⠀"}},"key":"arcsin","names":["arcsin"]},{"category":"Cyclometric","mappings":{"default":{"default":"⠁⠗⠉⠀⠞⠁⠝⠀"}},"key":"arctan","names":["arctan"]}]
+,
+"nemeth/symbols/digits_rest.js": 
+[{"locale":"nemeth"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠲⠼"}},"key":"00BC"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠆⠼"}},"key":"00BD"},{"category":"No","mappings":{"default":{"default":"⠹⠒⠌⠲⠼"}},"key":"00BE"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠶⠼"}},"key":"2150"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠔⠼"}},"key":"2151"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠂⠴⠼"}},"key":"2152"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠒⠼"}},"key":"2153"},{"category":"No","mappings":{"default":{"default":"⠹⠆⠌⠒⠼"}},"key":"2154"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠢⠼"}},"key":"2155"},{"category":"No","mappings":{"default":{"default":"⠹⠆⠌⠢⠼"}},"key":"2156"},{"category":"No","mappings":{"default":{"default":"⠹⠒⠌⠢⠼"}},"key":"2157"},{"category":"No","mappings":{"default":{"default":"⠹⠲⠌⠢⠼"}},"key":"2158"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠖⠼"}},"key":"2159"},{"category":"No","mappings":{"default":{"default":"⠹⠢⠌⠖⠼"}},"key":"215A"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠦⠼"}},"key":"215B"},{"category":"No","mappings":{"default":{"default":"⠹⠒⠌⠦⠼"}},"key":"215C"},{"category":"No","mappings":{"default":{"default":"⠹⠢⠌⠦⠼"}},"key":"215D"},{"category":"No","mappings":{"default":{"default":"⠹⠶⠌⠦⠼"}},"key":"215E"},{"category":"No","mappings":{"default":{"default":"⠹⠂⠌⠼"}},"key":"215F"},{"category":"No","mappings":{"default":{"default":"⠹⠴⠌⠒⠼"}},"key":"2189"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠂⠴⠻⠻"}},"key":"3248"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠆⠴⠻⠻"}},"key":"3249"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠒⠴⠻⠻"}},"key":"324A"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠲⠴⠻⠻"}},"key":"324B"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠢⠴⠻⠻"}},"key":"324C"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠖⠴⠻⠻"}},"key":"324D"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠶⠴⠻⠻"}},"key":"324E"},{"category":"No","mappings":{"default":{"default":"⠫⠸⠲⠸⠫⠫⠉⠸⠫⠼⠦⠴⠻⠻"}},"key":"324F"}]
+,
+"nemeth/symbols/greek-rest.js": 
+[{"locale":"nemeth"}]
+,
+"nemeth/symbols/greek-scripts.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"1D26","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠖⠄"}}},{"category":"Ll","key":"1D27","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠶⠄"}}},{"category":"Ll","key":"1D28","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠦⠄"}}},{"category":"Ll","key":"1D29","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠔⠄"}}},{"category":"Ll","key":"1D2A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠁⠄"}}},{"category":"Lm","key":"1D5E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠢⠑⠄"}}},{"category":"Lm","key":"1D60","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠴⠄"}}},{"category":"Lm","key":"1D66","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠖⠄"}}},{"category":"Lm","key":"1D67","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠶⠄"}}},{"category":"Lm","key":"1D68","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠦⠄"}}},{"category":"Lm","key":"1D69","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠔⠄"}}},{"category":"Lm","key":"1D6A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠁⠄"}}}]
+,
+"nemeth/symbols/greek-symbols.js": 
+[{"locale":"nemeth"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠙⠴⠄"}},"key":"03D0"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠙⠶⠄"}},"key":"03D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠋⠖⠄"}},"key":"03F6"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠶⠉⠁⠄"}},"key":"1D7CA"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠶⠉⠃⠄"}},"key":"1D7CB"}]
+,
+"nemeth/symbols/hebrew_letters.js": 
+[{"locale":"nemeth"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠢⠄"}},"key":"2135"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠖⠄"}},"key":"2136"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠶⠄"}},"key":"2137"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠦⠄"}},"key":"2138"}]
+,
+"nemeth/symbols/latin-lower-double-accent.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"01D6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠖⠄"}}},{"category":"Ll","key":"01D8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠦⠄"}}},{"category":"Ll","key":"01DA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠁⠄"}}},{"category":"Ll","key":"01DC","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠉⠄"}}},{"category":"Ll","key":"01DF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠋⠄"}}},{"category":"Ll","key":"01E1","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠂⠄"}}},{"category":"Ll","key":"01ED","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠙⠄"}}},{"category":"Ll","key":"01FB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠃⠄"}}},{"category":"Ll","key":"022B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠃⠄"}}},{"category":"Ll","key":"022D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠙⠄"}}},{"category":"Ll","key":"0231","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠂⠄"}}},{"category":"Ll","key":"1E09","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠔⠄"}}},{"category":"Ll","key":"1E15","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠢⠄"}}},{"category":"Ll","key":"1E17","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠶⠄"}}},{"category":"Ll","key":"1E1D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠙⠄"}}},{"category":"Ll","key":"1E2F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠋⠄"}}},{"category":"Ll","key":"1E39","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠔⠄"}}},{"category":"Ll","key":"1E4D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠙⠄"}}},{"category":"Ll","key":"1E4F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠋⠄"}}},{"category":"Ll","key":"1E51","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠂⠄"}}},{"category":"Ll","key":"1E53","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠒⠄"}}},{"category":"Ll","key":"1E5D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠙⠄"}}},{"category":"Ll","key":"1E65","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠢⠄"}}},{"category":"Ll","key":"1E67","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠶⠄"}}},{"category":"Ll","key":"1E69","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠔⠄"}}},{"category":"Ll","key":"1E79","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠔⠄"}}},{"category":"Ll","key":"1E7B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠃⠄"}}},{"category":"Ll","key":"1EA5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠢⠄"}}},{"category":"Ll","key":"1EA7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠶⠄"}}},{"category":"Ll","key":"1EA9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠔⠄"}}},{"category":"Ll","key":"1EAB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠃⠄"}}},{"category":"Ll","key":"1EAD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠙⠄"}}},{"category":"Ll","key":"1EAF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠋⠄"}}},{"category":"Ll","key":"1EB1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠂⠄"}}},{"category":"Ll","key":"1EB3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠒⠄"}}},{"category":"Ll","key":"1EB5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠢⠄"}}},{"category":"Ll","key":"1EB7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠶⠄"}}},{"category":"Ll","key":"1EBF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠋⠄"}}},{"category":"Ll","key":"1EC1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠂⠄"}}},{"category":"Ll","key":"1EC3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠒⠄"}}},{"category":"Ll","key":"1EC5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠢⠄"}}},{"category":"Ll","key":"1EC7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠶⠄"}}},{"category":"Ll","key":"1ED1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠂⠄"}}},{"category":"Ll","key":"1ED3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠒⠄"}}},{"category":"Ll","key":"1ED5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠢⠄"}}},{"category":"Ll","key":"1ED7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠶⠄"}}},{"category":"Ll","key":"1ED9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠔⠄"}}},{"category":"Ll","key":"1EDB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠃⠄"}}},{"category":"Ll","key":"1EDD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠙⠄"}}},{"category":"Ll","key":"1EDF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠋⠄"}}},{"category":"Ll","key":"1EE1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠂⠄"}}},{"category":"Ll","key":"1EE3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠒⠄"}}},{"category":"Ll","key":"1EE9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠔⠄"}}},{"category":"Ll","key":"1EEB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠃⠄"}}},{"category":"Ll","key":"1EED","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠙⠄"}}},{"category":"Ll","key":"1EEF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠋⠄"}}},{"category":"Ll","key":"1EF1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠂⠄"}}}]
+,
+"nemeth/symbols/latin-lower-phonetic.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"00F8","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"0111","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠂⠄"}}},{"category":"Ll","key":"0127","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠶⠄"}}},{"category":"Ll","key":"0142","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠆⠄"}}},{"category":"Ll","key":"0167","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠶⠄"}}},{"category":"Ll","key":"0180","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠴⠄"}}},{"category":"Ll","key":"019B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠃⠄"}}},{"category":"Ll","key":"01B6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠖⠄"}}},{"category":"Ll","key":"01BE","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠑⠄"}}},{"category":"Ll","key":"01E5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠢⠄"}}},{"category":"Ll","key":"01FF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠋⠄"}}},{"category":"Ll","key":"023C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠉⠄"}}},{"category":"Ll","key":"0247","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠶⠄"}}},{"category":"Ll","key":"0249","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠔⠄"}}},{"category":"Ll","key":"024D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠙⠄"}}},{"category":"Ll","key":"024F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠋⠄"}}},{"category":"Ll","key":"025F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠋⠄"}}},{"category":"Ll","key":"0268","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠦⠄"}}},{"category":"Ll","key":"0284","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠲⠄"}}},{"category":"Ll","key":"02A1","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠂⠄"}}},{"category":"Ll","key":"02A2","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠆⠄"}}},{"category":"Ll","key":"1D13","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠒⠄"}}},{"category":"Ll","key":"1D7C","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠉⠄"}}},{"category":"Ll","key":"1D7D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠙⠄"}}},{"category":"Ll","key":"1D7F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠋⠄"}}},{"category":"Ll","key":"1E9C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠉⠄"}}},{"category":"Ll","key":"1E9D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠙⠄"}}},{"category":"Ll","key":"018D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠙⠄"}}},{"category":"Ll","key":"1E9B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠃⠄"}}},{"category":"Ll","key":"1E9F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠋⠄"}}},{"category":"Ll","key":"0138","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠦⠄"}}},{"category":"Ll","key":"017F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠋⠄"}}},{"category":"Ll","key":"0183","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠒⠄"}}},{"category":"Ll","key":"0185","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠢⠄"}}},{"category":"Ll","key":"0188","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠦⠄"}}},{"category":"Ll","key":"018C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠦⠉⠄"}}},{"category":"Ll","key":"0192","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠆⠄"}}},{"category":"Ll","key":"0195","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠢⠄"}}},{"category":"Ll","key":"0199","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠔⠄"}}},{"category":"Ll","key":"019A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠁⠄"}}},{"category":"Ll","key":"019E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠔⠑⠄"}}},{"category":"Ll","key":"01A1","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠂⠄"}}},{"category":"Ll","key":"01A3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠒⠄"}}},{"category":"Ll","key":"01A5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠢⠄"}}},{"category":"Ll","key":"01A8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠦⠄"}}},{"category":"Ll","key":"01AA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠁⠄"}}},{"category":"Ll","key":"01AB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠃⠄"}}},{"category":"Ll","key":"01AD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠁⠙⠄"}}},{"category":"Ll","key":"01B0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠴⠄"}}},{"category":"Ll","key":"01B4","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠲⠄"}}},{"category":"Ll","key":"01B9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠔⠄"}}},{"category":"Ll","key":"01BA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠁⠄"}}},{"category":"Ll","key":"01BD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠙⠄"}}},{"category":"Ll","key":"01BF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠃⠋⠄"}}},{"category":"Ll","key":"01C6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠖⠄"}}},{"category":"Ll","key":"01C9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠔⠄"}}},{"category":"Ll","key":"01CC","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠉⠄"}}},{"category":"Ll","key":"01E3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠒⠄"}}},{"category":"Ll","key":"01EF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠋⠄"}}},{"category":"Ll","key":"01F3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠒⠄"}}},{"category":"Ll","key":"01DD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠙⠄"}}},{"category":"Ll","key":"01FD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠙⠄"}}},{"category":"Ll","key":"021D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠙⠄"}}},{"category":"Ll","key":"0221","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠂⠄"}}},{"category":"Ll","key":"0223","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠒⠄"}}},{"category":"Ll","key":"0225","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠢⠄"}}},{"category":"Ll","key":"0234","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠲⠄"}}},{"category":"Ll","key":"0235","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠢⠄"}}},{"category":"Ll","key":"0236","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠖⠄"}}},{"category":"Ll","key":"0238","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠦⠄"}}},{"category":"Ll","key":"0239","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠔⠄"}}},{"category":"Ll","key":"023F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠋⠄"}}},{"category":"Ll","key":"0240","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠴⠄"}}},{"category":"Ll","key":"0242","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠆⠄"}}},{"category":"Ll","key":"024B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠲⠃⠄"}}},{"category":"Ll","key":"0250","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠴⠄"}}},{"category":"Ll","key":"0251","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠂⠄"}}},{"category":"Ll","key":"0252","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠆⠄"}}},{"category":"Ll","key":"0253","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠒⠄"}}},{"category":"Ll","key":"0254","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠲⠄"}}},{"category":"Ll","key":"0255","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠢⠄"}}},{"category":"Ll","key":"0256","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠖⠄"}}},{"category":"Ll","key":"0257","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠶⠄"}}},{"category":"Ll","key":"0258","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠦⠄"}}},{"category":"Ll","key":"0259","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠔⠄"}}},{"category":"Ll","key":"025A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠁⠄"}}},{"category":"Ll","key":"025B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠃⠄"}}},{"category":"Ll","key":"025C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠉⠄"}}},{"category":"Ll","key":"025D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠙⠄"}}},{"category":"Ll","key":"025E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠢⠑⠄"}}},{"category":"Ll","key":"0260","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠴⠄"}}},{"category":"Ll","key":"0261","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠂⠄"}}},{"category":"Ll","key":"0263","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠒⠄"}}},{"category":"Ll","key":"0264","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠲⠄"}}},{"category":"Ll","key":"0265","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠢⠄"}}},{"category":"Ll","key":"0266","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠖⠄"}}},{"category":"Ll","key":"0267","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠶⠄"}}},{"category":"Ll","key":"0269","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠔⠄"}}},{"category":"Ll","key":"026B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠃⠄"}}},{"category":"Ll","key":"026C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠉⠄"}}},{"category":"Ll","key":"026D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠙⠄"}}},{"category":"Ll","key":"026E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠑⠄"}}},{"category":"Ll","key":"026F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠖⠋⠄"}}},{"category":"Ll","key":"0270","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠴⠄"}}},{"category":"Ll","key":"0271","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠂⠄"}}},{"category":"Ll","key":"0272","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠆⠄"}}},{"category":"Ll","key":"0273","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠒⠄"}}},{"category":"Ll","key":"0275","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠢⠄"}}},{"category":"Ll","key":"0277","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠶⠄"}}},{"category":"Ll","key":"0278","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠦⠄"}}},{"category":"Ll","key":"0279","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠔⠄"}}},{"category":"Ll","key":"027A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠁⠄"}}},{"category":"Ll","key":"027B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠃⠄"}}},{"category":"Ll","key":"027C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠉⠄"}}},{"category":"Ll","key":"027D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠙⠄"}}},{"category":"Ll","key":"027E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠑⠄"}}},{"category":"Ll","key":"027F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠶⠋⠄"}}},{"category":"Ll","key":"0282","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠆⠄"}}},{"category":"Ll","key":"0283","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠒⠄"}}},{"category":"Ll","key":"0285","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠢⠄"}}},{"category":"Ll","key":"0286","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠖⠄"}}},{"category":"Ll","key":"0287","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠶⠄"}}},{"category":"Ll","key":"0288","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠦⠄"}}},{"category":"Ll","key":"0289","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠔⠄"}}},{"category":"Ll","key":"028A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠁⠄"}}},{"category":"Ll","key":"028B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠃⠄"}}},{"category":"Ll","key":"028C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠉⠄"}}},{"category":"Ll","key":"028D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠙⠄"}}},{"category":"Ll","key":"028E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠦⠑⠄"}}},{"category":"Ll","key":"0290","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠴⠄"}}},{"category":"Ll","key":"0291","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠂⠄"}}},{"category":"Ll","key":"0292","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠆⠄"}}},{"category":"Ll","key":"0293","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠒⠄"}}},{"category":"Ll","key":"0295","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠢⠄"}}},{"category":"Ll","key":"0296","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠖⠄"}}},{"category":"Ll","key":"0297","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠶⠄"}}},{"category":"Ll","key":"0298","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠦⠄"}}},{"category":"Ll","key":"029A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠁⠄"}}},{"category":"Ll","key":"029E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠔⠑⠄"}}},{"category":"Ll","key":"02A0","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠴⠄"}}},{"category":"Ll","key":"02A3","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠒⠄"}}},{"category":"Ll","key":"02A4","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠲⠄"}}},{"category":"Ll","key":"02A5","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠢⠄"}}},{"category":"Ll","key":"02A6","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠖⠄"}}},{"category":"Ll","key":"02A7","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠶⠄"}}},{"category":"Ll","key":"02A8","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠦⠄"}}},{"category":"Ll","key":"02A9","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠔⠄"}}},{"category":"Ll","key":"02AA","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠁⠄"}}},{"category":"Ll","key":"02AB","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠃⠄"}}},{"category":"Ll","key":"02AC","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠉⠄"}}},{"category":"Ll","key":"02AD","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠙⠄"}}},{"category":"Ll","key":"02AE","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠑⠄"}}},{"category":"Ll","key":"02AF","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠁⠋⠄"}}},{"category":"Ll","key":"1D02","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠴⠆⠄"}}},{"category":"Ll","key":"1D08","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠴⠦⠄"}}},{"category":"Ll","key":"1D09","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠴⠔⠄"}}},{"category":"Ll","key":"1D11","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠂⠄"}}},{"category":"Ll","key":"1D12","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠆⠄"}}},{"category":"Ll","key":"1D14","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠲⠄"}}},{"category":"Ll","key":"1D16","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠖⠄"}}},{"category":"Ll","key":"1D17","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠶⠄"}}},{"category":"Ll","key":"1D1D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠙⠄"}}},{"category":"Ll","key":"1D1E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠑⠄"}}},{"category":"Ll","key":"1D1F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠂⠋⠄"}}},{"category":"Ll","key":"1D24","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠲⠄"}}},{"category":"Ll","key":"1D25","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠆⠢⠄"}}},{"category":"Ll","key":"1D6B","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠃⠄"}}},{"category":"Ll","key":"1D6C","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠉⠄"}}},{"category":"Ll","key":"1D6D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠙⠄"}}},{"category":"Ll","key":"1D6E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠑⠄"}}},{"category":"Ll","key":"1D6F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠋⠄"}}},{"category":"Ll","key":"1D70","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠴⠄"}}},{"category":"Ll","key":"1D71","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠂⠄"}}},{"category":"Ll","key":"1D72","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠆⠄"}}},{"category":"Ll","key":"1D73","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠒⠄"}}},{"category":"Ll","key":"1D74","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠲⠄"}}},{"category":"Ll","key":"1D75","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠢⠄"}}},{"category":"Ll","key":"1D76","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠖⠄"}}},{"category":"Ll","key":"1D77","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠶⠄"}}},{"category":"Ll","key":"1D79","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠔⠄"}}},{"category":"Ll","key":"1D7A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠶⠁⠄"}}},{"category":"Ll","key":"1D80","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠴⠄"}}},{"category":"Ll","key":"1D81","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠂⠄"}}},{"category":"Ll","key":"1D82","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠆⠄"}}},{"category":"Ll","key":"1D83","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠒⠄"}}},{"category":"Ll","key":"1D84","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠲⠄"}}},{"category":"Ll","key":"1D85","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠢⠄"}}},{"category":"Ll","key":"1D86","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠖⠄"}}},{"category":"Ll","key":"1D87","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠶⠄"}}},{"category":"Ll","key":"1D88","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠦⠄"}}},{"category":"Ll","key":"1D89","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠔⠄"}}},{"category":"Ll","key":"1D8A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠁⠄"}}},{"category":"Ll","key":"1D8B","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠃⠄"}}},{"category":"Ll","key":"1D8C","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠉⠄"}}},{"category":"Ll","key":"1D8D","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠙⠄"}}},{"category":"Ll","key":"1D8E","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠑⠄"}}},{"category":"Ll","key":"1D8F","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠦⠋⠄"}}},{"category":"Ll","key":"1D90","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠴⠄"}}},{"category":"Ll","key":"1D91","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠂⠄"}}},{"category":"Ll","key":"1D92","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠆⠄"}}},{"category":"Ll","key":"1D93","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠒⠄"}}},{"category":"Ll","key":"1D94","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠲⠄"}}},{"category":"Ll","key":"1D95","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠢⠄"}}},{"category":"Ll","key":"1D96","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠖⠄"}}},{"category":"Ll","key":"1D97","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠶⠄"}}},{"category":"Ll","key":"1D98","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠦⠄"}}},{"category":"Ll","key":"1D99","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠔⠄"}}},{"category":"Ll","key":"1D9A","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠔⠁⠄"}}},{"category":"Ll","key":"0149","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠔⠄"}}},{"category":"Ll","key":"014B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠃⠄"}}}]
+,
+"nemeth/symbols/latin-lower-single-accent.js": 
+[{"locale":"nemeth"},{"category":"Ll","key":"00E0","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E1","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E2","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E3","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E4","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E5","mappings":{"default":{"default":"⠈⠁"}}},{"category":"Ll","key":"00E7","mappings":{"default":{"default":"⠈⠉"}}},{"category":"Ll","key":"00E8","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00E9","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00EA","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00EB","mappings":{"default":{"default":"⠈⠑"}}},{"category":"Ll","key":"00EC","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00ED","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00EE","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00EF","mappings":{"default":{"default":"⠈⠊"}}},{"category":"Ll","key":"00F1","mappings":{"default":{"default":"⠈⠝"}}},{"category":"Ll","key":"00F2","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F3","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F4","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F5","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F6","mappings":{"default":{"default":"⠈⠕"}}},{"category":"Ll","key":"00F9","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FA","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FB","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FC","mappings":{"default":{"default":"⠈⠥"}}},{"category":"Ll","key":"00FD","mappings":{"default":{"default":"⠈⠽"}}},{"category":"Ll","key":"00FF","mappings":{"default":{"default":"⠈⠽"}}},{"category":"Ll","key":"0101","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠂⠄"}}},{"category":"Ll","key":"0103","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠒⠄"}}},{"category":"Ll","key":"0105","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠢⠄"}}},{"category":"Ll","key":"0107","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠶⠄"}}},{"category":"Ll","key":"0109","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠔⠄"}}},{"category":"Ll","key":"010B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠃⠄"}}},{"category":"Ll","key":"010D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠙⠄"}}},{"category":"Ll","key":"010F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠋⠄"}}},{"category":"Ll","key":"0113","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠒⠄"}}},{"category":"Ll","key":"0115","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠢⠄"}}},{"category":"Ll","key":"0117","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠶⠄"}}},{"category":"Ll","key":"0119","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠔⠄"}}},{"category":"Ll","key":"011B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠃⠄"}}},{"category":"Ll","key":"011D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠙⠄"}}},{"category":"Ll","key":"011F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠋⠄"}}},{"category":"Ll","key":"0121","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠂⠄"}}},{"category":"Ll","key":"0123","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠒⠄"}}},{"category":"Ll","key":"0125","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠢⠄"}}},{"category":"Ll","key":"0129","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠔⠄"}}},{"category":"Ll","key":"012B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠃⠄"}}},{"category":"Ll","key":"012D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠙⠄"}}},{"category":"Ll","key":"012F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠋⠄"}}},{"category":"Ll","key":"0131","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠂⠄"}}},{"category":"Ll","key":"0135","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠢⠄"}}},{"category":"Ll","key":"0137","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠶⠄"}}},{"category":"Ll","key":"013A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠁⠄"}}},{"category":"Ll","key":"013C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠉⠄"}}},{"category":"Ll","key":"013E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠑⠄"}}},{"category":"Ll","key":"0140","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠴⠄"}}},{"category":"Ll","key":"0144","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠲⠄"}}},{"category":"Ll","key":"0146","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠖⠄"}}},{"category":"Ll","key":"0148","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠦⠄"}}},{"category":"Ll","key":"014D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠙⠄"}}},{"category":"Ll","key":"014F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠋⠄"}}},{"category":"Ll","key":"0151","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠂⠄"}}},{"category":"Ll","key":"0155","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠢⠄"}}},{"category":"Ll","key":"0157","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠶⠄"}}},{"category":"Ll","key":"0159","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠔⠄"}}},{"category":"Ll","key":"015B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠃⠄"}}},{"category":"Ll","key":"015D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠙⠄"}}},{"category":"Ll","key":"015F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠋⠄"}}},{"category":"Ll","key":"0161","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠂⠄"}}},{"category":"Ll","key":"0163","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠒⠄"}}},{"category":"Ll","key":"0165","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠢⠄"}}},{"category":"Ll","key":"0169","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠔⠄"}}},{"category":"Ll","key":"016B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠃⠄"}}},{"category":"Ll","key":"016D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠙⠄"}}},{"category":"Ll","key":"016F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠋⠄"}}},{"category":"Ll","key":"0171","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠂⠄"}}},{"category":"Ll","key":"0173","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠒⠄"}}},{"category":"Ll","key":"0175","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠢⠄"}}},{"category":"Ll","key":"0177","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠶⠄"}}},{"category":"Ll","key":"017A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠁⠄"}}},{"category":"Ll","key":"017C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠉⠄"}}},{"category":"Ll","key":"017E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠑⠄"}}},{"category":"Ll","key":"01CE","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠑⠄"}}},{"category":"Ll","key":"01D0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠴⠄"}}},{"category":"Ll","key":"01D2","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠆⠄"}}},{"category":"Ll","key":"01D4","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠲⠄"}}},{"category":"Ll","key":"01E7","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠶⠄"}}},{"category":"Ll","key":"01E9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠔⠄"}}},{"category":"Ll","key":"01EB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠃⠄"}}},{"category":"Ll","key":"01F0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠴⠄"}}},{"category":"Ll","key":"01F5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠢⠄"}}},{"category":"Ll","key":"01F9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠔⠄"}}},{"category":"Ll","key":"0201","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠂⠄"}}},{"category":"Ll","key":"0203","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠒⠄"}}},{"category":"Ll","key":"0205","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠢⠄"}}},{"category":"Ll","key":"0207","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠶⠄"}}},{"category":"Ll","key":"0209","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠔⠄"}}},{"category":"Ll","key":"020B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠃⠄"}}},{"category":"Ll","key":"020D","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠙⠄"}}},{"category":"Ll","key":"020F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠋⠄"}}},{"category":"Ll","key":"0211","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠂⠄"}}},{"category":"Ll","key":"0213","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠒⠄"}}},{"category":"Ll","key":"0215","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠢⠄"}}},{"category":"Ll","key":"0217","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠶⠄"}}},{"category":"Ll","key":"0219","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠔⠄"}}},{"category":"Ll","key":"021B","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠃⠄"}}},{"category":"Ll","key":"021F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠋⠄"}}},{"category":"Ll","key":"0227","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠶⠄"}}},{"category":"Ll","key":"0229","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠔⠄"}}},{"category":"Ll","key":"022F","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠋⠄"}}},{"category":"Ll","key":"0233","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠒⠄"}}},{"category":"Ll","key":"0237","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠶⠄"}}},{"category":"Ll","key":"1E01","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠂⠄"}}},{"category":"Ll","key":"1E03","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠒⠄"}}},{"category":"Ll","key":"1E05","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠢⠄"}}},{"category":"Ll","key":"1E07","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠶⠄"}}},{"category":"Ll","key":"1E0B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠃⠄"}}},{"category":"Ll","key":"1E0D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠙⠄"}}},{"category":"Ll","key":"1E0F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠋⠄"}}},{"category":"Ll","key":"1E11","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠂⠄"}}},{"category":"Ll","key":"1E13","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠒⠄"}}},{"category":"Ll","key":"1E19","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠔⠄"}}},{"category":"Ll","key":"1E1B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠃⠄"}}},{"category":"Ll","key":"1E1F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠋⠄"}}},{"category":"Ll","key":"1E21","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠂⠄"}}},{"category":"Ll","key":"1E23","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠒⠄"}}},{"category":"Ll","key":"1E25","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠢⠄"}}},{"category":"Ll","key":"1E27","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠶⠄"}}},{"category":"Ll","key":"1E29","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠔⠄"}}},{"category":"Ll","key":"1E2B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠃⠄"}}},{"category":"Ll","key":"1E2D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠙⠄"}}},{"category":"Ll","key":"1E31","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠂⠄"}}},{"category":"Ll","key":"1E33","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠒⠄"}}},{"category":"Ll","key":"1E35","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠢⠄"}}},{"category":"Ll","key":"1E37","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠶⠄"}}},{"category":"Ll","key":"1E3B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠃⠄"}}},{"category":"Ll","key":"1E3D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠙⠄"}}},{"category":"Ll","key":"1E3F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠋⠄"}}},{"category":"Ll","key":"1E41","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠂⠄"}}},{"category":"Ll","key":"1E43","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠒⠄"}}},{"category":"Ll","key":"1E45","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠢⠄"}}},{"category":"Ll","key":"1E47","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠶⠄"}}},{"category":"Ll","key":"1E49","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠔⠄"}}},{"category":"Ll","key":"1E4B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠃⠄"}}},{"category":"Ll","key":"1E55","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠢⠄"}}},{"category":"Ll","key":"1E57","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠶⠄"}}},{"category":"Ll","key":"1E59","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠔⠄"}}},{"category":"Ll","key":"1E5B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠃⠄"}}},{"category":"Ll","key":"1E5F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠋⠄"}}},{"category":"Ll","key":"1E61","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠂⠄"}}},{"category":"Ll","key":"1E63","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠒⠄"}}},{"category":"Ll","key":"1E6B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠃⠄"}}},{"category":"Ll","key":"1E6D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠙⠄"}}},{"category":"Ll","key":"1E6F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠋⠄"}}},{"category":"Ll","key":"1E71","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠂⠄"}}},{"category":"Ll","key":"1E73","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠒⠄"}}},{"category":"Ll","key":"1E75","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠢⠄"}}},{"category":"Ll","key":"1E77","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠶⠄"}}},{"category":"Ll","key":"1E7D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠙⠄"}}},{"category":"Ll","key":"1E7F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠋⠄"}}},{"category":"Ll","key":"1E81","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠂⠄"}}},{"category":"Ll","key":"1E83","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠒⠄"}}},{"category":"Ll","key":"1E85","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠢⠄"}}},{"category":"Ll","key":"1E87","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠶⠄"}}},{"category":"Ll","key":"1E89","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠔⠄"}}},{"category":"Ll","key":"1E8B","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠃⠄"}}},{"category":"Ll","key":"1E8D","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠙⠄"}}},{"category":"Ll","key":"1E8F","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠋⠄"}}},{"category":"Ll","key":"1E91","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠂⠄"}}},{"category":"Ll","key":"1E93","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠒⠄"}}},{"category":"Ll","key":"1E95","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠢⠄"}}},{"category":"Ll","key":"1E96","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠖⠄"}}},{"category":"Ll","key":"1E97","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠶⠄"}}},{"category":"Ll","key":"1E98","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠦⠄"}}},{"category":"Ll","key":"1E99","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠔⠄"}}},{"category":"Ll","key":"1E9A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠁⠄"}}},{"category":"Ll","key":"1EA1","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠂⠄"}}},{"category":"Ll","key":"1EA3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠒⠄"}}},{"category":"Ll","key":"1EB9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠔⠄"}}},{"category":"Ll","key":"1EBB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠃⠄"}}},{"category":"Ll","key":"1EBD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠙⠄"}}},{"category":"Ll","key":"1EC9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠔⠄"}}},{"category":"Ll","key":"1ECB","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠃⠄"}}},{"category":"Ll","key":"1ECD","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠙⠄"}}},{"category":"Ll","key":"1ECF","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠋⠄"}}},{"category":"Ll","key":"1EE5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠢⠄"}}},{"category":"Ll","key":"1EE7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠶⠄"}}},{"category":"Ll","key":"1EF3","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠒⠄"}}},{"category":"Ll","key":"1EF5","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠢⠄"}}},{"category":"Ll","key":"1EF7","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠶⠄"}}},{"category":"Ll","key":"1EF9","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠔⠄"}}}]
+,
+"nemeth/symbols/latin-rest.js": 
+[{"locale":"nemeth"},{"category":"Mn","key":"0363","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠒⠄"}}},{"category":"Mn","key":"0364","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠲⠄"}}},{"category":"Mn","key":"0365","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠢⠄"}}},{"category":"Mn","key":"0366","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠖⠄"}}},{"category":"Mn","key":"0367","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠶⠄"}}},{"category":"Mn","key":"0368","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠦⠄"}}},{"category":"Mn","key":"0369","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠔⠄"}}},{"category":"Mn","key":"036A","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠁⠄"}}},{"category":"Mn","key":"036B","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠃⠄"}}},{"category":"Mn","key":"036C","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠉⠄"}}},{"category":"Mn","key":"036D","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠙⠄"}}},{"category":"Mn","key":"036E","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠑⠄"}}},{"category":"Mn","key":"036F","mappings":{"default":{"default":"⠄⡳⠭⠴⠒⠖⠋⠄"}}},{"category":"Lm","key":"1D62","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠆⠄"}}},{"category":"Lm","key":"1D63","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠒⠄"}}},{"category":"Lm","key":"1D64","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠲⠄"}}},{"category":"Lm","key":"1D65","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠖⠢⠄"}}},{"category":"Mn","key":"1DCA","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠉⠁⠄"}}},{"category":"Mn","key":"1DD3","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠒⠄"}}},{"category":"Mn","key":"1DD4","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠲⠄"}}},{"category":"Mn","key":"1DD5","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠢⠄"}}},{"category":"Mn","key":"1DD6","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠖⠄"}}},{"category":"Mn","key":"1DD7","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠶⠄"}}},{"category":"Mn","key":"1DD8","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠦⠄"}}},{"category":"Mn","key":"1DD9","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠔⠄"}}},{"category":"Mn","key":"1DDA","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠁⠄"}}},{"category":"Mn","key":"1DDB","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠃⠄"}}},{"category":"Mn","key":"1DDC","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠉⠄"}}},{"category":"Mn","key":"1DDD","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠙⠄"}}},{"category":"Mn","key":"1DDE","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠑⠄"}}},{"category":"Mn","key":"1DDF","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠙⠋⠄"}}},{"category":"Mn","key":"1DE0","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠴⠄"}}},{"category":"Mn","key":"1DE1","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠂⠄"}}},{"category":"Mn","key":"1DE2","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠆⠄"}}},{"category":"Mn","key":"1DE3","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠒⠄"}}},{"category":"Mn","key":"1DE4","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠲⠄"}}},{"category":"Mn","key":"1DE5","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠢⠄"}}},{"category":"Mn","key":"1DE6","mappings":{"default":{"default":"⠄⡳⠭⠂⠙⠑⠖⠄"}}},{"category":"Lm","key":"2071","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠂⠄"}}},{"category":"Lm","key":"207F","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠋⠄"}}},{"category":"Lm","key":"2090","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠴⠄"}}},{"category":"Lm","key":"2091","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠂⠄"}}},{"category":"Lm","key":"2092","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠆⠄"}}},{"category":"Lm","key":"2093","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠒⠄"}}},{"category":"Lm","key":"2094","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠲⠄"}}},{"category":"Lm","key":"2095","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠢⠄"}}},{"category":"Lm","key":"2096","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠖⠄"}}},{"category":"Lm","key":"2097","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠶⠄"}}},{"category":"Lm","key":"2098","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠦⠄"}}},{"category":"Lm","key":"2099","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠔⠄"}}},{"category":"Lm","key":"209A","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠁⠄"}}},{"category":"Lm","key":"209B","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠃⠄"}}},{"category":"Lm","key":"209C","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠔⠉⠄"}}},{"category":"Lm","key":"2C7C","mappings":{"default":{"default":"⠄⡳⠭⠆⠉⠶⠉⠄"}}},{"category":"So","key":"1F12A","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠆⠁⠄"}}},{"category":"So","key":"1F12B","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠆⠃⠄"}}},{"category":"So","key":"1F12C","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠆⠉⠄"}}},{"category":"So","key":"1F18A","mappings":{"default":{"default":"⠄⡳⠽⠂⠋⠂⠦⠁⠄"}}}]
+,
+"nemeth/symbols/latin-upper-double-accent.js": 
+[{"locale":"nemeth"},{"category":"Lu","key":"01D5","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠢⠄"}}},{"category":"Lu","key":"01D7","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠶⠄"}}},{"category":"Lu","key":"01D9","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠔⠄"}}},{"category":"Lu","key":"01DB","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠃⠄"}}},{"category":"Lu","key":"01DE","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠑⠄"}}},{"category":"Lu","key":"01E0","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠴⠄"}}},{"category":"Lu","key":"01EC","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠉⠄"}}},{"category":"Lu","key":"01FA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠁⠄"}}},{"category":"Lu","key":"022A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠁⠄"}}},{"category":"Lu","key":"022C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠉⠄"}}},{"category":"Lu","key":"0230","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠴⠄"}}},{"category":"Lu","key":"1E08","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠦⠄"}}},{"category":"Lu","key":"1E14","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠲⠄"}}},{"category":"Lu","key":"1E16","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠖⠄"}}},{"category":"Lu","key":"1E1C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠉⠄"}}},{"category":"Lu","key":"1E2E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠑⠄"}}},{"category":"Lu","key":"1E38","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠦⠄"}}},{"category":"Lu","key":"1E4C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠉⠄"}}},{"category":"Lu","key":"1E4E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠑⠄"}}},{"category":"Lu","key":"1E50","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠴⠄"}}},{"category":"Lu","key":"1E52","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠆⠄"}}},{"category":"Lu","key":"1E5C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠉⠄"}}},{"category":"Lu","key":"1E64","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠲⠄"}}},{"category":"Lu","key":"1E66","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠖⠄"}}},{"category":"Lu","key":"1E68","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠦⠄"}}},{"category":"Lu","key":"1E78","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠦⠄"}}},{"category":"Lu","key":"1E7A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠁⠄"}}},{"category":"Lu","key":"1EA4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠲⠄"}}},{"category":"Lu","key":"1EA6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠖⠄"}}},{"category":"Lu","key":"1EA8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠦⠄"}}},{"category":"Lu","key":"1EAA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠁⠄"}}},{"category":"Lu","key":"1EAC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠉⠄"}}},{"category":"Lu","key":"1EAE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠑⠄"}}},{"category":"Lu","key":"1EB0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠴⠄"}}},{"category":"Lu","key":"1EB2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠆⠄"}}},{"category":"Lu","key":"1EB4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠲⠄"}}},{"category":"Lu","key":"1EB6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠖⠄"}}},{"category":"Lu","key":"1EBE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠑⠄"}}},{"category":"Lu","key":"1EC0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠴⠄"}}},{"category":"Lu","key":"1EC2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠆⠄"}}},{"category":"Lu","key":"1EC4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠲⠄"}}},{"category":"Lu","key":"1EC6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠖⠄"}}},{"category":"Lu","key":"1ED0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠴⠄"}}},{"category":"Lu","key":"1ED2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠆⠄"}}},{"category":"Lu","key":"1ED4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠲⠄"}}},{"category":"Lu","key":"1ED6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠖⠄"}}},{"category":"Lu","key":"1ED8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠦⠄"}}},{"category":"Lu","key":"1EDA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠁⠄"}}},{"category":"Lu","key":"1EDC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠉⠄"}}},{"category":"Lu","key":"1EDE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠙⠑⠄"}}},{"category":"Lu","key":"1EE0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠴⠄"}}},{"category":"Lu","key":"1EE2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠆⠄"}}},{"category":"Lu","key":"1EE8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠦⠄"}}},{"category":"Lu","key":"1EEA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠁⠄"}}},{"category":"Lu","key":"1EEC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠉⠄"}}},{"category":"Lu","key":"1EEE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠑⠄"}}},{"category":"Lu","key":"1EF0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠴⠄"}}}]
+,
+"nemeth/symbols/latin-upper-single-accent.js": 
+[{"locale":"nemeth"},{"category":"Lu","key":"00C0","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C1","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C2","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C3","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C4","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C5","mappings":{"default":{"default":"⠠⠈⠁"}}},{"category":"Lu","key":"00C7","mappings":{"default":{"default":"⠠⠈⠉"}}},{"category":"Lu","key":"00C8","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00C9","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00CA","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00CB","mappings":{"default":{"default":"⠠⠈⠑"}}},{"category":"Lu","key":"00CC","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00CD","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00CE","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00CF","mappings":{"default":{"default":"⠠⠈⠊"}}},{"category":"Lu","key":"00D1","mappings":{"default":{"default":"⠠⠈⠝"}}},{"category":"Lu","key":"00D2","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D3","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D4","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D5","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠙⠢⠄"}}},{"category":"Lu","key":"00D6","mappings":{"default":{"default":"⠠⠈⠕"}}},{"category":"Lu","key":"00D9","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DA","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DB","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DC","mappings":{"default":{"default":"⠠⠈⠥"}}},{"category":"Lu","key":"00DD","mappings":{"default":{"default":"⠠⠈⠽"}}},{"category":"Lu","key":"0100","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠴⠄"}}},{"category":"Lu","key":"0102","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠆⠄"}}},{"category":"Lu","key":"0104","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠲⠄"}}},{"category":"Lu","key":"0106","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠖⠄"}}},{"category":"Lu","key":"0108","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠦⠄"}}},{"category":"Lu","key":"010A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠁⠄"}}},{"category":"Lu","key":"010C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠉⠄"}}},{"category":"Lu","key":"010E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠴⠑⠄"}}},{"category":"Lu","key":"0112","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠆⠄"}}},{"category":"Lu","key":"0114","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠲⠄"}}},{"category":"Lu","key":"0116","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠖⠄"}}},{"category":"Lu","key":"0118","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠦⠄"}}},{"category":"Lu","key":"011A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠁⠄"}}},{"category":"Lu","key":"011C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠉⠄"}}},{"category":"Lu","key":"011E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠂⠑⠄"}}},{"category":"Lu","key":"0120","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠴⠄"}}},{"category":"Lu","key":"0122","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠆⠄"}}},{"category":"Lu","key":"0124","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠲⠄"}}},{"category":"Lu","key":"0128","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠦⠄"}}},{"category":"Lu","key":"012A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠁⠄"}}},{"category":"Lu","key":"012C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠉⠄"}}},{"category":"Lu","key":"012E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠆⠑⠄"}}},{"category":"Lu","key":"0130","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠴⠄"}}},{"category":"Lu","key":"0134","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠲⠄"}}},{"category":"Lu","key":"0136","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠖⠄"}}},{"category":"Lu","key":"0139","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠔⠄"}}},{"category":"Lu","key":"013B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠃⠄"}}},{"category":"Lu","key":"013D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠙⠄"}}},{"category":"Lu","key":"013F","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠒⠋⠄"}}},{"category":"Lu","key":"0143","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠒⠄"}}},{"category":"Lu","key":"0145","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠢⠄"}}},{"category":"Lu","key":"0147","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠶⠄"}}},{"category":"Lu","key":"014C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠉⠄"}}},{"category":"Lu","key":"014E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠲⠑⠄"}}},{"category":"Lu","key":"0150","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠴⠄"}}},{"category":"Lu","key":"0154","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠲⠄"}}},{"category":"Lu","key":"0156","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠖⠄"}}},{"category":"Lu","key":"0158","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠦⠄"}}},{"category":"Lu","key":"015A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠁⠄"}}},{"category":"Lu","key":"015C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠉⠄"}}},{"category":"Lu","key":"015E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠢⠑⠄"}}},{"category":"Lu","key":"0160","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠴⠄"}}},{"category":"Lu","key":"0162","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠆⠄"}}},{"category":"Lu","key":"0164","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠲⠄"}}},{"category":"Lu","key":"0168","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠦⠄"}}},{"category":"Lu","key":"016A","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠁⠄"}}},{"category":"Lu","key":"016C","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠉⠄"}}},{"category":"Lu","key":"016E","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠖⠑⠄"}}},{"category":"Lu","key":"0170","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠴⠄"}}},{"category":"Lu","key":"0172","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠆⠄"}}},{"category":"Lu","key":"0174","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠲⠄"}}},{"category":"Lu","key":"0176","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠖⠄"}}},{"category":"Lu","key":"0178","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠦⠄"}}},{"category":"Lu","key":"0179","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠔⠄"}}},{"category":"Lu","key":"017B","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠃⠄"}}},{"category":"Lu","key":"017D","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠶⠙⠄"}}},{"category":"Lu","key":"01CD","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠙⠄"}}},{"category":"Lu","key":"01CF","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠉⠋⠄"}}},{"category":"Lu","key":"01D1","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠂⠄"}}},{"category":"Lu","key":"01D3","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠙⠒⠄"}}},{"category":"Lu","key":"01E6","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠖⠄"}}},{"category":"Lu","key":"01E8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠦⠄"}}},{"category":"Lu","key":"01EA","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠑⠁⠄"}}},{"category":"Lu","key":"01F4","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠲⠄"}}},{"category":"Lu","key":"01F8","mappings":{"default":{"default":"⠄⡳⠭⠴⠂⠋⠦⠄"}}},{"category":"Lu","key":"0200","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠴⠄"}}},{"category":"Lu","key":"0202","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠆⠄"}}},{"category":"Lu","key":"0204","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠲⠄"}}},{"category":"Lu","key":"0206","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠖⠄"}}},{"category":"Lu","key":"0208","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠦⠄"}}},{"category":"Lu","key":"020A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠁⠄"}}},{"category":"Lu","key":"020C","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠉⠄"}}},{"category":"Lu","key":"020E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠴⠑⠄"}}},{"category":"Lu","key":"0210","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠴⠄"}}},{"category":"Lu","key":"0212","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠆⠄"}}},{"category":"Lu","key":"0214","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠲⠄"}}},{"category":"Lu","key":"0216","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠖⠄"}}},{"category":"Lu","key":"0218","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠦⠄"}}},{"category":"Lu","key":"021A","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠁⠄"}}},{"category":"Lu","key":"021E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠂⠑⠄"}}},{"category":"Lu","key":"0226","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠖⠄"}}},{"category":"Lu","key":"0228","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠦⠄"}}},{"category":"Lu","key":"022E","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠆⠑⠄"}}},{"category":"Lu","key":"0232","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠒⠆⠄"}}},{"category":"Lu","key":"1E00","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠴⠄"}}},{"category":"Lu","key":"1E02","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠆⠄"}}},{"category":"Lu","key":"1E04","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠲⠄"}}},{"category":"Lu","key":"1E06","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠖⠄"}}},{"category":"Lu","key":"1E0A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠁⠄"}}},{"category":"Lu","key":"1E0C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠉⠄"}}},{"category":"Lu","key":"1E0E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠴⠑⠄"}}},{"category":"Lu","key":"1E10","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠴⠄"}}},{"category":"Lu","key":"1E12","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠆⠄"}}},{"category":"Lu","key":"1E18","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠦⠄"}}},{"category":"Lu","key":"1E1A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠁⠄"}}},{"category":"Lu","key":"1E1E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠂⠑⠄"}}},{"category":"Lu","key":"1E20","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠴⠄"}}},{"category":"Lu","key":"1E22","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠆⠄"}}},{"category":"Lu","key":"1E24","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠲⠄"}}},{"category":"Lu","key":"1E26","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠖⠄"}}},{"category":"Lu","key":"1E28","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠦⠄"}}},{"category":"Lu","key":"1E2A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠁⠄"}}},{"category":"Lu","key":"1E2C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠆⠉⠄"}}},{"category":"Lu","key":"1E30","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠴⠄"}}},{"category":"Lu","key":"1E32","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠆⠄"}}},{"category":"Lu","key":"1E34","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠲⠄"}}},{"category":"Lu","key":"1E36","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠖⠄"}}},{"category":"Lu","key":"1E3A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠁⠄"}}},{"category":"Lu","key":"1E3C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠉⠄"}}},{"category":"Lu","key":"1E3E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠒⠑⠄"}}},{"category":"Lu","key":"1E40","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠴⠄"}}},{"category":"Lu","key":"1E42","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠆⠄"}}},{"category":"Lu","key":"1E44","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠲⠄"}}},{"category":"Lu","key":"1E46","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠖⠄"}}},{"category":"Lu","key":"1E48","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠦⠄"}}},{"category":"Lu","key":"1E4A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠲⠁⠄"}}},{"category":"Lu","key":"1E54","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠲⠄"}}},{"category":"Lu","key":"1E56","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠖⠄"}}},{"category":"Lu","key":"1E58","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠦⠄"}}},{"category":"Lu","key":"1E5A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠁⠄"}}},{"category":"Lu","key":"1E5E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠢⠑⠄"}}},{"category":"Lu","key":"1E60","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠴⠄"}}},{"category":"Lu","key":"1E62","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠆⠄"}}},{"category":"Lu","key":"1E6A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠁⠄"}}},{"category":"Lu","key":"1E6C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠉⠄"}}},{"category":"Lu","key":"1E6E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠖⠑⠄"}}},{"category":"Lu","key":"1E70","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠴⠄"}}},{"category":"Lu","key":"1E72","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠆⠄"}}},{"category":"Lu","key":"1E74","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠲⠄"}}},{"category":"Lu","key":"1E76","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠖⠄"}}},{"category":"Lu","key":"1E7C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠉⠄"}}},{"category":"Lu","key":"1E7E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠶⠑⠄"}}},{"category":"Lu","key":"1E80","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠴⠄"}}},{"category":"Lu","key":"1E82","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠆⠄"}}},{"category":"Lu","key":"1E84","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠲⠄"}}},{"category":"Lu","key":"1E86","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠖⠄"}}},{"category":"Lu","key":"1E88","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠦⠄"}}},{"category":"Lu","key":"1E8A","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠁⠄"}}},{"category":"Lu","key":"1E8C","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠉⠄"}}},{"category":"Lu","key":"1E8E","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠦⠑⠄"}}},{"category":"Lu","key":"1E90","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠴⠄"}}},{"category":"Lu","key":"1E92","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠆⠄"}}},{"category":"Lu","key":"1E94","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠔⠲⠄"}}},{"category":"Lu","key":"1EA0","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠴⠄"}}},{"category":"Lu","key":"1EA2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠁⠆⠄"}}},{"category":"Lu","key":"1EB8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠦⠄"}}},{"category":"Lu","key":"1EBA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠁⠄"}}},{"category":"Lu","key":"1EBC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠃⠉⠄"}}},{"category":"Lu","key":"1EC8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠦⠄"}}},{"category":"Lu","key":"1ECA","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠁⠄"}}},{"category":"Lu","key":"1ECC","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠉⠄"}}},{"category":"Lu","key":"1ECE","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠉⠑⠄"}}},{"category":"Lu","key":"1EE4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠲⠄"}}},{"category":"Lu","key":"1EE6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠑⠖⠄"}}},{"category":"Lu","key":"1EF2","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠆⠄"}}},{"category":"Lu","key":"1EF4","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠲⠄"}}},{"category":"Lu","key":"1EF6","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠖⠄"}}},{"category":"Lu","key":"1EF8","mappings":{"default":{"default":"⠄⡳⠭⠂⠑⠋⠦⠄"}}}]
+,
+"nemeth/symbols/math_angles.js": 
+[{"locale":"nemeth"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠑⠄"}},"key":"22BE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠶⠉⠄"}},"key":"237C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠴⠄"}},"key":"27C0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠃⠄"}},"key":"299B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠉⠄"}},"key":"299C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠙⠄"}},"key":"299D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠑⠄"}},"key":"299E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠋⠄"}},"key":"299F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠴⠄"}},"key":"29A0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠂⠄"}},"key":"29A1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠆⠄"}},"key":"29A2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠒⠄"}},"key":"29A3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠲⠄"}},"key":"29A4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠢⠄"}},"key":"29A5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠖⠄"}},"key":"29A6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠶⠄"}},"key":"29A7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠦⠄"}},"key":"29A8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠔⠄"}},"key":"29A9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠁⠄"}},"key":"29AA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠃⠄"}},"key":"29AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠉⠄"}},"key":"29AC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠙⠄"}},"key":"29AD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠑⠄"}},"key":"29AE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠁⠋⠄"}},"key":"29AF"}]
+,
+"nemeth/symbols/math_arrows.js": 
+[{"locale":"nemeth"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠀"}},"key":"2190"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠀"}},"key":"2191"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠕⠀"}},"key":"2192"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠀"}},"key":"2193"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠕⠀"}},"key":"2194"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠩⠪⠒⠒⠕⠀"}},"key":"2195"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠪⠒⠒⠀"}},"key":"2196"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠒⠒⠕⠀"}},"key":"2197"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠒⠒⠕⠀"}},"key":"2198"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠪⠒⠒⠀"}},"key":"2199"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠻⠀"}},"key":"219A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠒⠒⠕⠻⠀"}},"key":"219B"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠔⠒⠢⠀"}},"key":"219C"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠔⠒⠢⠕⠀"}},"key":"219D"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠪⠒⠒⠀"}},"key":"219E"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠕⠀"}},"key":"219F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠕⠀"}},"key":"21A0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠕⠀"}},"key":"21A1"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠠⠽⠀"}},"key":"21A2"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠠⠯⠒⠒⠕⠀"}},"key":"21A3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠳⠀"}},"key":"21A4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠳⠒⠒⠕⠀"}},"key":"21A5"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠳⠒⠒⠕⠀"}},"key":"21A6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠳⠒⠒⠕⠀"}},"key":"21A7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠳⠒⠕⠀"}},"key":"21A8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠠⠕⠀"}},"key":"21A9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠠⠪⠒⠒⠕⠀"}},"key":"21AA"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠨⠡⠀"}},"key":"21AB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠨⠡⠒⠒⠕⠀"}},"key":"21AC"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠔⠒⠢⠕⠀"}},"key":"21AD"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠕⠀"}},"key":"21AE"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠔⠢⠔⠀"}},"key":"21AF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠴⠄"}},"key":"21B0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠂⠄"}},"key":"21B1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠆⠄"}},"key":"21B2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠒⠄"}},"key":"21B3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠠⠳⠒⠒⠕⠀"}},"key":"21B4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠠⠳⠒⠒⠕⠀"}},"key":"21B5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠢⠔⠀⠕⠀"}},"key":"21B6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠢⠀⠔⠀"}},"key":"21B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠦⠄"}},"key":"21B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠃⠔⠄"}},"key":"21B9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠢⠔⠕⠀"}},"key":"21BA"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠢⠔⠀"}},"key":"21BB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠫⠪⠒⠒⠀"}},"key":"21C4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠐⠫⠩⠒⠒⠕⠀"}},"key":"21C5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠫⠒⠒⠕⠀"}},"key":"21C6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠚⠒⠒⠫⠚⠒⠒⠀"}},"key":"21C7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠐⠫⠣⠒⠒⠕⠀"}},"key":"21C8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠫⠒⠒⠕⠀"}},"key":"21C9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠐⠫⠩⠒⠒⠕⠀"}},"key":"21CA"},{"category":"So","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠪⠒⠒⠀"}},"key":"21CD"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠪⠒⠒⠕⠕⠀"}},"key":"21CE"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠒⠒⠕⠕⠀"}},"key":"21CF"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠪⠒⠒⠀"}},"key":"21D0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠕⠀"}},"key":"21D1"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠕⠀"}},"key":"21D2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠕⠕⠀"}},"key":"21D3"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠪⠪⠒⠒⠕⠕⠀"}},"key":"21D4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠪⠪⠒⠒⠕⠕⠀"}},"key":"21D5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠪⠪⠒⠒⠀"}},"key":"21D6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠘⠒⠒⠕⠕⠀"}},"key":"21D7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠒⠒⠕⠕⠀"}},"key":"21D8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠰⠪⠪⠒⠒⠀"}},"key":"21D9"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠪⠪⠒⠒⠀"}},"key":"21DA"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠕⠕⠀"}},"key":"21DB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠢⠤⠔⠒⠢⠀"}},"key":"21DC"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠢⠤⠔⠒⠢⠕⠀"}},"key":"21DD"},{"category":"So","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠣⠒⠒⠕⠻⠀"}},"key":"21DE"},{"category":"So","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠩⠒⠒⠕⠻⠀"}},"key":"21DF"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠀⠒⠀"}},"key":"21E0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠀⠒⠕⠀"}},"key":"21E1"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠀⠒⠕⠀"}},"key":"21E2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠀⠒⠕⠀"}},"key":"21E3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠳⠪⠒⠒⠀"}},"key":"21E4"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠳⠀"}},"key":"21E5"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠸⠪⠒⠒⠀"}},"key":"21E6"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠸⠒⠒⠕⠀"}},"key":"21E7"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠸⠒⠒⠕⠀"}},"key":"21E8"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠸⠒⠒⠕⠀"}},"key":"21E9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠁⠄"}},"key":"21EA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠃⠄"}},"key":"21EB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠉⠄"}},"key":"21EC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠙⠄"}},"key":"21ED"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠑⠄"}},"key":"21EE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠑⠋⠄"}},"key":"21EF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠋⠴⠄"}},"key":"21F0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠋⠂⠄"}},"key":"21F1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠋⠆⠄"}},"key":"21F2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠸⠪⠒⠒⠕⠀"}},"key":"21F3"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠨⠡⠀"}},"key":"21F4"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠕⠐⠫⠣⠒⠒⠕⠀"}},"key":"21F5"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠕⠫⠒⠒⠕⠫⠒⠒⠕⠀"}},"key":"21F6"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠻⠀"}},"key":"21F7"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠒⠒⠕⠻⠀"}},"key":"21F8"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠈⠫⠪⠒⠒⠕⠀"}},"key":"21F9"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠪⠒⠒⠻⠀"}},"key":"21FA"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠒⠒⠕⠻⠀"}},"key":"21FB"},{"category":"Sm","mappings":{"default":{"default":"⠀⠳⠳⠈⠫⠪⠒⠒⠕⠀"}},"key":"21FC"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠳⠒⠒⠀"}},"key":"21FD"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠒⠒⠳⠀"}},"key":"21FE"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠳⠒⠒⠳⠀"}},"key":"21FF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠂⠄"}},"key":"2301"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠒⠄"}},"key":"2303"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠲⠄"}},"key":"2304"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠆⠲⠄"}},"key":"2324"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠦⠃⠄"}},"key":"238B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠲⠄"}},"key":"2794"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠦⠄"}},"key":"2798"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠔⠄"}},"key":"2799"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠁⠄"}},"key":"279A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠃⠄"}},"key":"279B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠉⠄"}},"key":"279C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠙⠄"}},"key":"279D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠑⠄"}},"key":"279E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠋⠄"}},"key":"279F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠴⠄"}},"key":"27A0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠂⠄"}},"key":"27A1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠆⠄"}},"key":"27A2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠒⠄"}},"key":"27A3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠲⠄"}},"key":"27A4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠢⠄"}},"key":"27A5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠖⠄"}},"key":"27A6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠶⠄"}},"key":"27A7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠦⠄"}},"key":"27A8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠔⠄"}},"key":"27A9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠁⠄"}},"key":"27AA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠃⠄"}},"key":"27AB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠉⠄"}},"key":"27AC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠙⠄"}},"key":"27AD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠑⠄"}},"key":"27AE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠁⠋⠄"}},"key":"27AF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠂⠄"}},"key":"27B1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠆⠄"}},"key":"27B2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠒⠄"}},"key":"27B3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠲⠄"}},"key":"27B4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠢⠄"}},"key":"27B5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠖⠄"}},"key":"27B6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠶⠄"}},"key":"27B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠦⠄"}},"key":"27B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠔⠄"}},"key":"27B9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠁⠄"}},"key":"27BA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠃⠄"}},"key":"27BB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠉⠄"}},"key":"27BC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠙⠄"}},"key":"27BD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠑⠄"}},"key":"27BE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠴⠄"}},"key":"27F0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠂⠄"}},"key":"27F1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠆⠄"}},"key":"27F2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠒⠄"}},"key":"27F3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠲⠄"}},"key":"27F4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠢⠄"}},"key":"27F5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠖⠄"}},"key":"27F6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠶⠄"}},"key":"27F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠦⠄"}},"key":"27F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠔⠄"}},"key":"27F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠁⠄"}},"key":"27FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠃⠄"}},"key":"27FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠉⠄"}},"key":"27FC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠙⠄"}},"key":"27FD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠑⠄"}},"key":"27FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠋⠋⠄"}},"key":"27FF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠴⠄"}},"key":"2900"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠂⠄"}},"key":"2901"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠆⠄"}},"key":"2902"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠒⠄"}},"key":"2903"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠲⠄"}},"key":"2904"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠢⠄"}},"key":"2905"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠖⠄"}},"key":"2906"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠶⠄"}},"key":"2907"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠦⠄"}},"key":"2908"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠔⠄"}},"key":"2909"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠁⠄"}},"key":"290A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠃⠄"}},"key":"290B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠉⠄"}},"key":"290C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠙⠄"}},"key":"290D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠑⠄"}},"key":"290E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠴⠋⠄"}},"key":"290F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠴⠄"}},"key":"2910"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠂⠄"}},"key":"2911"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠆⠄"}},"key":"2912"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠒⠄"}},"key":"2913"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠲⠄"}},"key":"2914"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠢⠄"}},"key":"2915"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠖⠄"}},"key":"2916"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠶⠄"}},"key":"2917"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠦⠄"}},"key":"2918"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠔⠄"}},"key":"2919"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠁⠄"}},"key":"291A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠃⠄"}},"key":"291B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠉⠄"}},"key":"291C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠙⠄"}},"key":"291D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠑⠄"}},"key":"291E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠂⠋⠄"}},"key":"291F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠴⠄"}},"key":"2920"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠂⠄"}},"key":"2921"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠆⠄"}},"key":"2922"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠒⠄"}},"key":"2923"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠲⠄"}},"key":"2924"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠢⠄"}},"key":"2925"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠖⠄"}},"key":"2926"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠶⠄"}},"key":"2927"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠦⠄"}},"key":"2928"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠔⠄"}},"key":"2929"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠁⠄"}},"key":"292A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠙⠄"}},"key":"292D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠑⠄"}},"key":"292E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠋⠄"}},"key":"292F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠴⠄"}},"key":"2930"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠂⠄"}},"key":"2931"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠆⠄"}},"key":"2932"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠒⠄"}},"key":"2933"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠲⠄"}},"key":"2934"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠢⠄"}},"key":"2935"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠖⠄"}},"key":"2936"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠶⠄"}},"key":"2937"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠦⠄"}},"key":"2938"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠔⠄"}},"key":"2939"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠁⠄"}},"key":"293A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠃⠄"}},"key":"293B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠉⠄"}},"key":"293C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠙⠄"}},"key":"293D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠑⠄"}},"key":"293E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠒⠋⠄"}},"key":"293F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠴⠄"}},"key":"2940"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠂⠄"}},"key":"2941"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠆⠄"}},"key":"2942"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠒⠄"}},"key":"2943"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠲⠄"}},"key":"2944"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠢⠄"}},"key":"2945"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠖⠄"}},"key":"2946"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠶⠄"}},"key":"2947"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠦⠄"}},"key":"2948"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠔⠄"}},"key":"2949"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠴⠄"}},"key":"2970"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠂⠄"}},"key":"2971"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠆⠄"}},"key":"2972"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠒⠄"}},"key":"2973"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠲⠄"}},"key":"2974"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠢⠄"}},"key":"2975"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠖⠄"}},"key":"2976"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠶⠄"}},"key":"2977"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠦⠄"}},"key":"2978"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠔⠄"}},"key":"2979"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠁⠄"}},"key":"297A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠃⠄"}},"key":"297B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠒⠄"}},"key":"29B3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠲⠄"}},"key":"29B4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠙⠄"}},"key":"29BD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠁⠄"}},"key":"29EA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠉⠄"}},"key":"29EC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠙⠄"}},"key":"29ED"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠶⠄"}},"key":"2A17"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠴⠄"}},"key":"2B00"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠂⠄"}},"key":"2B01"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠆⠄"}},"key":"2B02"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠒⠄"}},"key":"2B03"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠲⠄"}},"key":"2B04"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠢⠄"}},"key":"2B05"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠖⠄"}},"key":"2B06"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠶⠄"}},"key":"2B07"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠦⠄"}},"key":"2B08"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠔⠄"}},"key":"2B09"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠁⠄"}},"key":"2B0A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠃⠄"}},"key":"2B0B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠉⠄"}},"key":"2B0C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠙⠄"}},"key":"2B0D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠑⠄"}},"key":"2B0E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠴⠋⠄"}},"key":"2B0F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠴⠄"}},"key":"2B10"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠂⠄"}},"key":"2B11"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠴⠄"}},"key":"2B30"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠂⠄"}},"key":"2B31"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠆⠄"}},"key":"2B32"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠒⠄"}},"key":"2B33"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠲⠄"}},"key":"2B34"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠢⠄"}},"key":"2B35"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠖⠄"}},"key":"2B36"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠶⠄"}},"key":"2B37"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠦⠄"}},"key":"2B38"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠔⠄"}},"key":"2B39"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠁⠄"}},"key":"2B3A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠃⠄"}},"key":"2B3B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠉⠄"}},"key":"2B3C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠙⠄"}},"key":"2B3D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠑⠄"}},"key":"2B3E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠒⠋⠄"}},"key":"2B3F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠴⠄"}},"key":"2B40"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠂⠄"}},"key":"2B41"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠆⠄"}},"key":"2B42"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠒⠄"}},"key":"2B43"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠲⠄"}},"key":"2B44"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠢⠄"}},"key":"2B45"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠖⠄"}},"key":"2B46"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠶⠄"}},"key":"2B47"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠦⠄"}},"key":"2B48"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠔⠄"}},"key":"2B49"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠁⠄"}},"key":"2B4A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠃⠄"}},"key":"2B4B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠲⠉⠄"}},"key":"2B4C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠔⠄"}},"key":"FFE9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠁⠄"}},"key":"FFEA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠃⠄"}},"key":"FFEB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠉⠄"}},"key":"FFEC"}]
+,
+"nemeth/symbols/math_characters.js": 
+[{"locale":"nemeth"},{"category":"Ll","mappings":{"default":{"default":"⠈⠇"}},"key":"2113"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠦⠄"}},"key":"2118"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠉⠄"}},"key":"213C"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠙⠄"}},"key":"213D"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠑⠄"}},"key":"213E"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠋⠄"}},"key":"213F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠴⠄"}},"key":"2140"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠢⠄"}},"key":"2145"},{"category":"Ll","mappings":{"default":{"default":"⠙"}},"key":"2146"},{"category":"Ll","mappings":{"default":{"default":"⠑"}},"key":"2147"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠦⠄"}},"key":"2148"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠔⠄"}},"key":"2149"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠖⠁⠲⠄"}},"key":"1D6A4"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠽⠂⠙⠖⠁⠢⠄"}},"key":"1D6A5"}]
+,
+"nemeth/symbols/math_delimiters.js": 
+[{"locale":"nemeth"},{"category":"Ps","mappings":{"default":{"default":"⠷"}},"key":"0028"},{"category":"Pe","mappings":{"default":{"default":"⠾"}},"key":"0029"},{"category":"Ps","mappings":{"default":{"default":"⠈⠷"}},"key":"005B"},{"category":"Pe","mappings":{"default":{"default":"⠈⠾"}},"key":"005D"},{"category":"Ps","mappings":{"default":{"default":"⠨⠷"}},"key":"007B"},{"category":"Pe","mappings":{"default":{"default":"⠨⠾"}},"key":"007D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠢⠄"}},"key":"2045"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠖⠄"}},"key":"2046"},{"category":"Sm","mappings":{"default":{"default":"⠈⠘⠷"}},"key":"2308"},{"category":"Sm","mappings":{"default":{"default":"⠈⠘⠾"}},"key":"2309"},{"category":"Sm","mappings":{"default":{"default":"⠈⠰⠷"}},"key":"230A"},{"category":"Sm","mappings":{"default":{"default":"⠈⠰⠾"}},"key":"230B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠉⠄"}},"key":"230C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠙⠄"}},"key":"230D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠑⠄"}},"key":"230E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠋⠄"}},"key":"230F"},{"category":"So","mappings":{"default":{"default":"⠈⠘⠷"}},"key":"231C"},{"category":"So","mappings":{"default":{"default":"⠈⠘⠾"}},"key":"231D"},{"category":"So","mappings":{"default":{"default":"⠈⠰⠷"}},"key":"231E"},{"category":"So","mappings":{"default":{"default":"⠈⠰⠾"}},"key":"231F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠆⠴⠄"}},"key":"2320"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠆⠂⠄"}},"key":"2321"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠷"}},"key":"2329"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠾"}},"key":"232A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠃⠄"}},"key":"239B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠉⠄"}},"key":"239C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠙⠄"}},"key":"239D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠑⠄"}},"key":"239E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠔⠋⠄"}},"key":"239F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠴⠄"}},"key":"23A0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠂⠄"}},"key":"23A1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠆⠄"}},"key":"23A2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠒⠄"}},"key":"23A3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠲⠄"}},"key":"23A4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠢⠄"}},"key":"23A5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠖⠄"}},"key":"23A6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠶⠄"}},"key":"23A7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠦⠄"}},"key":"23A8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠔⠄"}},"key":"23A9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠁⠄"}},"key":"23AA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠃⠄"}},"key":"23AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠉⠄"}},"key":"23AC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠙⠄"}},"key":"23AD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠑⠄"}},"key":"23AE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠁⠋⠄"}},"key":"23AF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠴⠄"}},"key":"23B0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠂⠄"}},"key":"23B1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠆⠄"}},"key":"23B2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠒⠄"}},"key":"23B3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠲⠄"}},"key":"23B4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠢⠄"}},"key":"23B5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠖⠄"}},"key":"23B6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠶⠄"}},"key":"23B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠦⠄"}},"key":"23B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠃⠔⠄"}},"key":"23B9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠙⠉⠄"}},"key":"23DC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠙⠙⠄"}},"key":"23DD"},{"category":"Sm","mappings":{"default":{"default":"⠣⠨⠷"}},"key":"23DE"},{"category":"Sm","mappings":{"default":{"default":"⠣⠨⠾"}},"key":"23DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠑⠴⠄"}},"key":"23E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠑⠂⠄"}},"key":"23E1"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠦⠄"}},"key":"2768"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠔⠄"}},"key":"2769"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠁⠄"}},"key":"276A"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠃⠄"}},"key":"276B"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠉⠄"}},"key":"276C"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠙⠄"}},"key":"276D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠑⠄"}},"key":"276E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠖⠋⠄"}},"key":"276F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠴⠄"}},"key":"2770"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠂⠄"}},"key":"2771"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠆⠄"}},"key":"2772"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠒⠄"}},"key":"2773"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠲⠄"}},"key":"2774"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠶⠢⠄"}},"key":"2775"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠢⠄"}},"key":"27C5"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠖⠄"}},"key":"27C6"},{"category":"Ps","mappings":{"default":{"default":"⠈⠸⠷"}},"key":"27E6"},{"category":"Pe","mappings":{"default":{"default":"⠈⠸⠾"}},"key":"27E7"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠷"}},"key":"27E8"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠾"}},"key":"27E9"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠨⠷"}},"key":"27EA"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠨⠾"}},"key":"27EB"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠉⠄"}},"key":"27EC"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠙⠄"}},"key":"27ED"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠑⠄"}},"key":"27EE"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠋⠄"}},"key":"27EF"},{"category":"Ps","mappings":{"default":{"default":"⠨⠸⠷"}},"key":"2983"},{"category":"Pe","mappings":{"default":{"default":"⠨⠸⠾"}},"key":"2984"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠢⠄"}},"key":"2985"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠖⠄"}},"key":"2986"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠶⠄"}},"key":"2987"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠦⠄"}},"key":"2988"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠔⠄"}},"key":"2989"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠁⠄"}},"key":"298A"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠃⠄"}},"key":"298B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠉⠄"}},"key":"298C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠙⠄"}},"key":"298D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠑⠄"}},"key":"298E"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠋⠄"}},"key":"298F"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠴⠄"}},"key":"2990"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠂⠄"}},"key":"2991"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠆⠄"}},"key":"2992"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠒⠄"}},"key":"2993"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠲⠄"}},"key":"2994"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠢⠄"}},"key":"2995"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠖⠄"}},"key":"2996"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠶⠄"}},"key":"2997"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠦⠄"}},"key":"2998"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠦⠄"}},"key":"29D8"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠔⠄"}},"key":"29D9"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠁⠄"}},"key":"29DA"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠃⠄"}},"key":"29DB"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠉⠄"}},"key":"29FC"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠙⠄"}},"key":"29FD"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠆⠄"}},"key":"2E22"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠒⠄"}},"key":"2E23"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠲⠄"}},"key":"2E24"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠢⠄"}},"key":"2E25"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠖⠄"}},"key":"2E26"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠶⠄"}},"key":"2E27"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠦⠄"}},"key":"2E28"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠑⠆⠔⠄"}},"key":"2E29"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠷"}},"key":"3008"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠾"}},"key":"3009"},{"category":"Ps","mappings":{"default":{"default":"⠨⠨⠨⠷"}},"key":"300A"},{"category":"Pe","mappings":{"default":{"default":"⠨⠨⠨⠾"}},"key":"300B"},{"category":"Ps","mappings":{"default":{"default":"⠈⠘⠷"}},"key":"300C"},{"category":"Pe","mappings":{"default":{"default":"⠈⠘⠾"}},"key":"300D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠴⠑⠄"}},"key":"300E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠴⠋⠄"}},"key":"300F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠴⠄"}},"key":"3010"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠂⠄"}},"key":"3011"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠲⠄"}},"key":"3014"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠢⠄"}},"key":"3015"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠖⠄"}},"key":"3016"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠶⠄"}},"key":"3017"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠦⠄"}},"key":"3018"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠔⠄"}},"key":"3019"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠁⠄"}},"key":"301A"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠃⠄"}},"key":"301B"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠙⠄"}},"key":"301D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠑⠄"}},"key":"301E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠋⠄"}},"key":"301F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠙⠒⠑⠄"}},"key":"FD3E"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠙⠒⠋⠄"}},"key":"FD3F"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠶⠄"}},"key":"FE17"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠦⠄"}},"key":"FE18"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠢⠄"}},"key":"FE35"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠖⠄"}},"key":"FE36"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠶⠄"}},"key":"FE37"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠦⠄"}},"key":"FE38"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠔⠄"}},"key":"FE39"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠁⠄"}},"key":"FE3A"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠃⠄"}},"key":"FE3B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠉⠄"}},"key":"FE3C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠙⠄"}},"key":"FE3D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠑⠄"}},"key":"FE3E"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠋⠄"}},"key":"FE3F"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠴⠄"}},"key":"FE40"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠂⠄"}},"key":"FE41"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠆⠄"}},"key":"FE42"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠒⠄"}},"key":"FE43"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠲⠄"}},"key":"FE44"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠶⠄"}},"key":"FE47"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠦⠄"}},"key":"FE48"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠔⠄"}},"key":"FE59"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠁⠄"}},"key":"FE5A"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠃⠄"}},"key":"FE5B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠉⠄"}},"key":"FE5C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠙⠄"}},"key":"FE5D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠑⠄"}},"key":"FE5E"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠦⠄"}},"key":"FF08"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠔⠄"}},"key":"FF09"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠃⠄"}},"key":"FF3B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠙⠄"}},"key":"FF3D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠃⠄"}},"key":"FF5B"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠙⠄"}},"key":"FF5D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠋⠄"}},"key":"FF5F"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠖⠴⠄"}},"key":"FF60"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠖⠆⠄"}},"key":"FF62"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠖⠒⠄"}},"key":"FF63"}]
+,
+"nemeth/symbols/math_geometry.js": 
+[{"locale":"nemeth"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠴⠄"}},"key":"2500"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠂⠄"}},"key":"2501"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠆⠄"}},"key":"2502"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠒⠄"}},"key":"2503"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠲⠄"}},"key":"2504"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠢⠄"}},"key":"2505"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠖⠄"}},"key":"2506"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠶⠄"}},"key":"2507"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠦⠄"}},"key":"2508"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠔⠄"}},"key":"2509"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠁⠄"}},"key":"250A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠃⠄"}},"key":"250B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠉⠄"}},"key":"250C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠙⠄"}},"key":"250D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠑⠄"}},"key":"250E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠴⠋⠄"}},"key":"250F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠴⠄"}},"key":"2510"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠂⠄"}},"key":"2511"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠆⠄"}},"key":"2512"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠒⠄"}},"key":"2513"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠲⠄"}},"key":"2514"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠢⠄"}},"key":"2515"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠖⠄"}},"key":"2516"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠶⠄"}},"key":"2517"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠦⠄"}},"key":"2518"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠔⠄"}},"key":"2519"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠁⠄"}},"key":"251A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠃⠄"}},"key":"251B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠉⠄"}},"key":"251C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠙⠄"}},"key":"251D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠑⠄"}},"key":"251E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠂⠋⠄"}},"key":"251F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠴⠄"}},"key":"2520"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠂⠄"}},"key":"2521"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠆⠄"}},"key":"2522"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠒⠄"}},"key":"2523"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠲⠄"}},"key":"2524"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠢⠄"}},"key":"2525"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠖⠄"}},"key":"2526"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠶⠄"}},"key":"2527"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠦⠄"}},"key":"2528"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠔⠄"}},"key":"2529"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠁⠄"}},"key":"252A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠃⠄"}},"key":"252B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠉⠄"}},"key":"252C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠙⠄"}},"key":"252D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠑⠄"}},"key":"252E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠆⠋⠄"}},"key":"252F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠴⠄"}},"key":"2530"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠂⠄"}},"key":"2531"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠆⠄"}},"key":"2532"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠒⠄"}},"key":"2533"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠲⠄"}},"key":"2534"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠢⠄"}},"key":"2535"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠖⠄"}},"key":"2536"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠶⠄"}},"key":"2537"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠦⠄"}},"key":"2538"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠔⠄"}},"key":"2539"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠁⠄"}},"key":"253A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠃⠄"}},"key":"253B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠉⠄"}},"key":"253C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠙⠄"}},"key":"253D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠑⠄"}},"key":"253E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠒⠋⠄"}},"key":"253F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠴⠄"}},"key":"2540"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠂⠄"}},"key":"2541"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠆⠄"}},"key":"2542"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠒⠄"}},"key":"2543"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠲⠄"}},"key":"2544"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠢⠄"}},"key":"2545"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠖⠄"}},"key":"2546"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠶⠄"}},"key":"2547"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠦⠄"}},"key":"2548"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠔⠄"}},"key":"2549"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠁⠄"}},"key":"254A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠃⠄"}},"key":"254B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠉⠄"}},"key":"254C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠙⠄"}},"key":"254D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠑⠄"}},"key":"254E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠲⠋⠄"}},"key":"254F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠴⠄"}},"key":"2550"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠂⠄"}},"key":"2551"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠆⠄"}},"key":"2552"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠒⠄"}},"key":"2553"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠲⠄"}},"key":"2554"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠢⠄"}},"key":"2555"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠖⠄"}},"key":"2556"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠶⠄"}},"key":"2557"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠦⠄"}},"key":"2558"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠔⠄"}},"key":"2559"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠁⠄"}},"key":"255A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠃⠄"}},"key":"255B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠉⠄"}},"key":"255C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠙⠄"}},"key":"255D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠑⠄"}},"key":"255E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠢⠋⠄"}},"key":"255F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠴⠄"}},"key":"2560"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠂⠄"}},"key":"2561"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠆⠄"}},"key":"2562"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠒⠄"}},"key":"2563"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠲⠄"}},"key":"2564"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠢⠄"}},"key":"2565"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠖⠄"}},"key":"2566"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠶⠄"}},"key":"2567"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠦⠄"}},"key":"2568"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠔⠄"}},"key":"2569"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠁⠄"}},"key":"256A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠃⠄"}},"key":"256B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠉⠄"}},"key":"256C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠙⠄"}},"key":"256D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠑⠄"}},"key":"256E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠖⠋⠄"}},"key":"256F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠴⠄"}},"key":"2570"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠂⠄"}},"key":"2571"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠆⠄"}},"key":"2572"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠒⠄"}},"key":"2573"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠲⠄"}},"key":"2574"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠢⠄"}},"key":"2575"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠖⠄"}},"key":"2576"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠶⠄"}},"key":"2577"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠦⠄"}},"key":"2578"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠔⠄"}},"key":"2579"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠁⠄"}},"key":"257A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠃⠄"}},"key":"257B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠉⠄"}},"key":"257C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠙⠄"}},"key":"257D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠑⠄"}},"key":"257E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠶⠋⠄"}},"key":"257F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠴⠄"}},"key":"2580"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠂⠄"}},"key":"2581"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠆⠄"}},"key":"2582"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠒⠄"}},"key":"2583"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠲⠄"}},"key":"2584"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠢⠄"}},"key":"2585"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠖⠄"}},"key":"2586"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠶⠄"}},"key":"2587"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠦⠄"}},"key":"2588"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠔⠄"}},"key":"2589"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠁⠄"}},"key":"258A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠃⠄"}},"key":"258B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠉⠄"}},"key":"258C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠙⠄"}},"key":"258D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠑⠄"}},"key":"258E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠦⠋⠄"}},"key":"258F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠴⠄"}},"key":"2590"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠂⠄"}},"key":"2591"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠆⠄"}},"key":"2592"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠒⠄"}},"key":"2593"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠲⠄"}},"key":"2594"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠢⠄"}},"key":"2595"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠖⠄"}},"key":"2596"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠶⠄"}},"key":"2597"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠦⠄"}},"key":"2598"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠔⠄"}},"key":"2599"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠁⠄"}},"key":"259A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠃⠄"}},"key":"259B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠉⠄"}},"key":"259C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠙⠄"}},"key":"259D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠑⠄"}},"key":"259E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠔⠋⠄"}},"key":"259F"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠲"}},"key":"25A0"},{"category":"So","mappings":{"default":{"default":"⠫⠲"}},"key":"25A1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠆⠄"}},"key":"25A2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠒⠄"}},"key":"25A3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠲⠄"}},"key":"25A4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠢⠄"}},"key":"25A5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠖⠄"}},"key":"25A6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠶⠄"}},"key":"25A7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠦⠄"}},"key":"25A8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠔⠄"}},"key":"25A9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠁⠄"}},"key":"25AA"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠗"}},"key":"25AB"},{"category":"So","mappings":{"default":{"default":"⠫⠗"}},"key":"25AC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠙⠄"}},"key":"25AD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠑⠄"}},"key":"25AE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠁⠋⠄"}},"key":"25AF"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠛"}},"key":"25B0"},{"category":"So","mappings":{"default":{"default":"⠫⠛"}},"key":"25B1"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠞"}},"key":"25B2"},{"category":"So","mappings":{"default":{"default":"⠫⠞"}},"key":"25B3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠲⠄"}},"key":"25B4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠢⠄"}},"key":"25B5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠖⠄"}},"key":"25B6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠶⠄"}},"key":"25B7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠦⠄"}},"key":"25B8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠔⠄"}},"key":"25B9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠁⠄"}},"key":"25BA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠃⠄"}},"key":"25BB"},{"category":"So","mappings":{"default":{"default":"⠸⠨⠫"}},"key":"25BC"},{"category":"So","mappings":{"default":{"default":"⠨⠫"}},"key":"25BD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠑⠄"}},"key":"25BE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠃⠋⠄"}},"key":"25BF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠴⠄"}},"key":"25C0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠂⠄"}},"key":"25C1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠆⠄"}},"key":"25C2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠒⠄"}},"key":"25C3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠲⠄"}},"key":"25C4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠢⠄"}},"key":"25C5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠖⠄"}},"key":"25C6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠶⠄"}},"key":"25C7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠦⠄"}},"key":"25C8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠔⠄"}},"key":"25C9"},{"category":"So","mappings":{"default":{"default":"⠫⠸⠉"}},"key":"25CA"},{"category":"So","mappings":{"default":{"default":"⠫⠉"}},"key":"25CB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠉⠄"}},"key":"25CC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠙⠄"}},"key":"25CD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠑⠄"}},"key":"25CE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠉⠋⠄"}},"key":"25CF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠴⠄"}},"key":"25D0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠂⠄"}},"key":"25D1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠆⠄"}},"key":"25D2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠒⠄"}},"key":"25D3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠲⠄"}},"key":"25D4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠢⠄"}},"key":"25D5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠖⠄"}},"key":"25D6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠶⠄"}},"key":"25D7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠦⠄"}},"key":"25D8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠔⠄"}},"key":"25D9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠁⠄"}},"key":"25DA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠃⠄"}},"key":"25DB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠉⠄"}},"key":"25DC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠙⠄"}},"key":"25DD"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠑⠄"}},"key":"25DE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠙⠋⠄"}},"key":"25DF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠴⠄"}},"key":"25E0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠂⠄"}},"key":"25E1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠆⠄"}},"key":"25E2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠒⠄"}},"key":"25E3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠲⠄"}},"key":"25E4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠢⠄"}},"key":"25E5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠖⠄"}},"key":"25E6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠶⠄"}},"key":"25E7"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠦⠄"}},"key":"25E8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠔⠄"}},"key":"25E9"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠁⠄"}},"key":"25EA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠃⠄"}},"key":"25EB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠉⠄"}},"key":"25EC"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠙⠄"}},"key":"25ED"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠑⠄"}},"key":"25EE"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠑⠋⠄"}},"key":"25EF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠴⠄"}},"key":"25F0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠂⠄"}},"key":"25F1"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠆⠄"}},"key":"25F2"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠒⠄"}},"key":"25F3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠲⠄"}},"key":"25F4"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠢⠄"}},"key":"25F5"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠖⠄"}},"key":"25F6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠶⠄"}},"key":"25F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠦⠄"}},"key":"25F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠔⠄"}},"key":"25F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠁⠄"}},"key":"25FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠃⠄"}},"key":"25FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠉⠄"}},"key":"25FC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠙⠄"}},"key":"25FD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠑⠄"}},"key":"25FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠢⠋⠋⠄"}},"key":"25FF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠆⠄"}},"key":"2B12"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠒⠄"}},"key":"2B13"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠲⠄"}},"key":"2B14"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠢⠄"}},"key":"2B15"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠖⠄"}},"key":"2B16"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠶⠄"}},"key":"2B17"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠦⠄"}},"key":"2B18"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠔⠄"}},"key":"2B19"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠁⠄"}},"key":"2B1A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠃⠄"}},"key":"2B1B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠉⠄"}},"key":"2B1C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠙⠄"}},"key":"2B1D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠑⠄"}},"key":"2B1E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠂⠋⠄"}},"key":"2B1F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠴⠄"}},"key":"2B20"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠂⠄"}},"key":"2B21"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠆⠄"}},"key":"2B22"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠒⠄"}},"key":"2B23"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠲⠄"}},"key":"2B24"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠢⠄"}},"key":"2B25"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠖⠄"}},"key":"2B26"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠶⠄"}},"key":"2B27"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠦⠄"}},"key":"2B28"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠔⠄"}},"key":"2B29"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠁⠄"}},"key":"2B2A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠃⠄"}},"key":"2B2B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠉⠄"}},"key":"2B2C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠙⠄"}},"key":"2B2D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠑⠄"}},"key":"2B2E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠆⠋⠄"}},"key":"2B2F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠴⠄"}},"key":"2B50"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠂⠄"}},"key":"2B51"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠆⠄"}},"key":"2B52"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠒⠄"}},"key":"2B53"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠲⠄"}},"key":"2B54"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠢⠄"}},"key":"2B55"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠖⠄"}},"key":"2B56"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠶⠄"}},"key":"2B57"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠦⠄"}},"key":"2B58"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠃⠢⠔⠄"}},"key":"2B59"}]
+,
+"nemeth/symbols/math_harpoons.js": 
+[{"locale":"nemeth"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠈⠪⠒⠒⠀"}},"key":"21BC"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠠⠪⠒⠒⠀"}},"key":"21BD"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠠⠕⠀"}},"key":"21BE"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠣⠒⠒⠈⠕⠀"}},"key":"21BF"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠈⠕⠀"}},"key":"21C0"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠠⠕⠀"}},"key":"21C1"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠪⠒⠒⠈⠕⠀"}},"key":"21C2"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠩⠒⠒⠠⠕⠀"}},"key":"21C3"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠈⠪⠒⠒⠫⠒⠒⠈⠕⠀"}},"key":"21CB"},{"category":"So","mappings":{"default":{"default":"⠀⠫⠒⠒⠈⠕⠫⠈⠪⠒⠒⠀"}},"key":"21CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠁⠄"}},"key":"294A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠃⠄"}},"key":"294B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠉⠄"}},"key":"294C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠙⠄"}},"key":"294D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠑⠄"}},"key":"294E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠲⠋⠄"}},"key":"294F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠴⠄"}},"key":"2950"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠂⠄"}},"key":"2951"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠆⠄"}},"key":"2952"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠒⠄"}},"key":"2953"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠲⠄"}},"key":"2954"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠢⠄"}},"key":"2955"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠖⠄"}},"key":"2956"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠶⠄"}},"key":"2957"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠦⠄"}},"key":"2958"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠔⠄"}},"key":"2959"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠁⠄"}},"key":"295A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠃⠄"}},"key":"295B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠉⠄"}},"key":"295C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠙⠄"}},"key":"295D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠑⠄"}},"key":"295E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠢⠋⠄"}},"key":"295F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠴⠄"}},"key":"2960"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠂⠄"}},"key":"2961"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠆⠄"}},"key":"2962"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠒⠄"}},"key":"2963"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠲⠄"}},"key":"2964"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠢⠄"}},"key":"2965"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠖⠄"}},"key":"2966"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠶⠄"}},"key":"2967"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠦⠄"}},"key":"2968"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠔⠄"}},"key":"2969"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠁⠄"}},"key":"296A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠃⠄"}},"key":"296B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠉⠄"}},"key":"296C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠙⠄"}},"key":"296D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠑⠄"}},"key":"296E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠖⠋⠄"}},"key":"296F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠉⠄"}},"key":"297C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠙⠄"}},"key":"297D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠑⠄"}},"key":"297E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠶⠋⠄"}},"key":"297F"}]
+,
+"nemeth/symbols/math_non_characters.js": 
+[{"locale":"nemeth"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠴⠋⠄"}},"key":"210F"},{"category":"So","mappings":{"default":{"default":"⠳"}},"key":"2114"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠖⠄"}},"key":"2116"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠶⠄"}},"key":"2117"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠑⠄"}},"key":"211E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠂⠋⠄"}},"key":"211F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠴⠄"}},"key":"2120"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠂⠄"}},"key":"2121"},{"category":"So","mappings":{"default":{"default":"⠘⠞"}},"key":"2122"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠒⠄"}},"key":"2123"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠢⠄"}},"key":"2125"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠖⠄"}},"key":"2126"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠶⠄"}},"key":"2127"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠁⠄"}},"key":"212A"},{"category":"Lu","mappings":{"default":{"default":"⠀⠈⠠⠁"}},"key":"212B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠆⠑⠄"}},"key":"212E"},{"category":"Lu","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠆⠄"}},"key":"2132"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠔⠄"}},"key":"2139"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠁⠄"}},"key":"213A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠒⠃⠄"}},"key":"213B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠂⠄"}},"key":"2141"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠆⠄"}},"key":"2142"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠒⠄"}},"key":"2143"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠲⠄"}},"key":"2144"}]
+,
+"nemeth/symbols/math_symbols.js": 
+[{"locale":"nemeth"},{"category":"Po","mappings":{"default":{"default":"⠖"}},"key":"0021"},{"category":"Po","mappings":{"default":{"default":"⠹"}},"key":"0022"},{"category":"Po","mappings":{"default":{"default":"⠨⠼"}},"key":"0023"},{"category":"Sc","mappings":{"default":{"default":"⠈⠎"}},"key":"0024"},{"category":"Po","mappings":{"default":{"default":"⠈⠴"}},"key":"0025"},{"category":"Po","mappings":{"default":{"default":"⠸⠯"}},"key":"0026"},{"category":"Po","mappings":{"default":{"default":"⠄"}},"key":"0027"},{"category":"Po","mappings":{"default":{"default":"⠈⠼"}},"key":"002A"},{"category":"Sm","mappings":{"default":{"default":"⠬"}},"key":"002B"},{"category":"Po","mappings":{"default":{"default":"⠠","defaultLibLouis":"⠠⠀"}},"key":"002C"},{"category":"Pd","mappings":{"default":{"default":"⠤"}},"key":"002D"},{"category":"Po","mappings":{"default":{"default":"⠨","other":"⠲"}},"key":"002E"},{"category":"Po","mappings":{"default":{"default":"⠸⠌"}},"key":"002F"},{"category":"Po","mappings":{"default":{"default":"⠒"}},"key":"003A"},{"category":"Po","mappings":{"default":{"default":"⠆"}},"key":"003B"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠀"}},"key":"003C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠅⠀"}},"key":"003D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠀"}},"key":"003E"},{"category":"Po","mappings":{"default":{"default":"⠸⠦"}},"key":"003F"},{"category":"Po","mappings":{"default":{"default":"⠈⠁"}},"key":"0040"},{"category":"Po","mappings":{"default":{"default":"⠸⠡"}},"key":"005C"},{"category":"Sk","mappings":{"default":{"default":"⡘"}},"key":"005E"},{"category":"Pc","mappings":{"default":{"default":"⠸"}},"key":"005F"},{"category":"Sk","mappings":{"default":{"default":"⠈"}},"key":"0060"},{"category":"Sm","mappings":{"default":{"default":"⠳"}},"key":"007C"},{"category":"Sm","mappings":{"default":{"default":"⠈⠱"}},"key":"007E"},{"category":"Po","mappings":{"default":{"default":"⠖"}},"key":"00A1"},{"category":"Sc","mappings":{"default":{"default":"⠈⠉"}},"key":"00A2"},{"category":"Sc","mappings":{"default":{"default":"⠼"}},"key":"00A3"},{"category":"Sc","mappings":{"default":{"default":"⠫"}},"key":"00A4"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠢⠄"}},"key":"00A5"},{"category":"So","mappings":{"default":{"default":"⠸⠳"}},"key":"00A6"},{"category":"Po","mappings":{"default":{"default":"⠈⠠⠎"}},"key":"00A7"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠦⠄"}},"key":"00A8"},{"category":"So","mappings":{"default":{"default":"⠘⠉"}},"key":"00A9"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠁⠄"}},"key":"00AA"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠃⠄"}},"key":"00AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠁⠉⠄"}},"key":"00AC"},{"category":"So","mappings":{"default":{"default":"⠘⠗"}},"key":"00AE"},{"category":"Sk","mappings":{"default":{"default":"⠱"}},"key":"00AF"},{"category":"So","mappings":{"default":{"default":"⠘⠨⠡"}},"key":"00B0"},{"category":"Sm","mappings":{"default":{"default":"⠬⠤"}},"key":"00B1"},{"category":"Sk","mappings":{"default":{"default":"⠈"}},"key":"00B4"},{"category":"Ll","mappings":{"default":{"default":"⠨⠍"}},"key":"00B5"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠖⠄"}},"key":"00B6"},{"category":"Po","mappings":{"default":{"default":"⠡"}},"key":"00B7"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠦⠄"}},"key":"00B8"},{"category":"Lo","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠁⠄"}},"key":"00BA"},{"category":"Pf","mappings":{"default":{"default":"⠄⡳⠭⠴⠴⠃⠃⠄"}},"key":"00BB"},{"category":"Po","mappings":{"default":{"default":"⠦"}},"key":"00BF"},{"category":"Sm","mappings":{"default":{"default":"⠈⠡"}},"key":"00D7"},{"category":"Sm","mappings":{"default":{"default":"⠈⠌"}},"key":"00F7"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠦⠄"}},"key":"02D8"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠔⠄"}},"key":"02D9"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠁⠄"}},"key":"02DA"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠃⠄"}},"key":"02DB"},{"category":"Sk","mappings":{"default":{"default":"⠈⠱"}},"key":"02DC"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠴⠆⠙⠙⠄"}},"key":"02DD"},{"category":"Pd","mappings":{"default":{"default":"⠤"}},"key":"2010"},{"category":"Pd","mappings":{"default":{"default":"⠤"}},"key":"2011"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2012"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2013"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2014"},{"category":"Pd","mappings":{"default":{"default":"⠤⠤"}},"key":"2015"},{"category":"Po","mappings":{"default":{"default":"⠳⠳"}},"key":"2016"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠶⠄"}},"key":"2017"},{"category":"Pi","mappings":{"default":{"default":"⠠⠦"}},"key":"2018"},{"category":"Pf","mappings":{"default":{"default":"⠄"}},"key":"2019"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠁⠄"}},"key":"201A"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠃⠄"}},"key":"201B"},{"category":"Pi","mappings":{"default":{"default":"⠦"}},"key":"201C"},{"category":"Pf","mappings":{"default":{"default":"⠴"}},"key":"201D"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠑⠄"}},"key":"201E"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠂⠋⠄"}},"key":"201F"},{"category":"Po","mappings":{"default":{"default":"⠸⠻"}},"key":"2020"},{"category":"Po","mappings":{"default":{"default":"⠸⠸⠻"}},"key":"2021"},{"category":"Po","mappings":{"default":{"default":"⠔⠔"}},"key":"2022"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠒⠄"}},"key":"2023"},{"category":"Po","mappings":{"default":{"default":"⠄"}},"key":"2024"},{"category":"Po","mappings":{"default":{"default":"⠄⠄"}},"key":"2025"},{"category":"Po","mappings":{"default":{"default":"⠄⠄⠄"}},"key":"2026"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠶⠄"}},"key":"2027"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠴⠄"}},"key":"2030"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠂⠄"}},"key":"2031"},{"category":"Po","mappings":{"default":{"default":"⠄"}},"key":"2032"},{"category":"Po","mappings":{"default":{"default":"⠄⠄"}},"key":"2033"},{"category":"Po","mappings":{"default":{"default":"⠄⠄⠄"}},"key":"2034"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠢⠄"}},"key":"2035"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠖⠄"}},"key":"2036"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠶⠄"}},"key":"2037"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠦⠄"}},"key":"2038"},{"category":"Pi","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠔⠄"}},"key":"2039"},{"category":"Pf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠁⠄"}},"key":"203A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠃⠄"}},"key":"203B"},{"category":"Po","mappings":{"default":{"default":"⠖⠖"}},"key":"203C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠙⠄"}},"key":"203D"},{"category":"Po","mappings":{"default":{"default":"⠱"}},"key":"203E"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠒⠋⠄"}},"key":"203F"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠴⠄"}},"key":"2040"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠂⠄"}},"key":"2041"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠆⠄"}},"key":"2042"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠒⠄"}},"key":"2043"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠲⠄"}},"key":"2044"},{"category":"Po","mappings":{"default":{"default":"⠹⠹"}},"key":"2047"},{"category":"Po","mappings":{"default":{"default":"⠹⠖"}},"key":"2048"},{"category":"Po","mappings":{"default":{"default":"⠖⠹"}},"key":"2049"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠃⠄"}},"key":"204B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠉⠄"}},"key":"204C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠙⠄"}},"key":"204D"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠑⠄"}},"key":"204E"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠲⠋⠄"}},"key":"204F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠴⠄"}},"key":"2050"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠂⠄"}},"key":"2051"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠆⠄"}},"key":"2052"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠒⠄"}},"key":"2053"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠲⠄"}},"key":"2054"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠢⠄"}},"key":"2055"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠖⠄"}},"key":"2056"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠶⠄"}},"key":"2057"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠦⠄"}},"key":"2058"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠔⠄"}},"key":"2059"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠁⠄"}},"key":"205A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠃⠄"}},"key":"205B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠉⠄"}},"key":"205C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠙⠄"}},"key":"205D"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠢⠑⠄"}},"key":"205E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠁⠄"}},"key":"207A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠃⠄"}},"key":"207B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠉⠄"}},"key":"207C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠙⠄"}},"key":"207D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠶⠑⠄"}},"key":"207E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠁⠄"}},"key":"208A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠃⠄"}},"key":"208B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠉⠄"}},"key":"208C"},{"category":"Ps","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠙⠄"}},"key":"208D"},{"category":"Pe","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠦⠑⠄"}},"key":"208E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠁⠄"}},"key":"214A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠃⠄"}},"key":"214B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠉⠄"}},"key":"214C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠙⠄"}},"key":"214D"},{"category":"Ll","mappings":{"default":{"default":"⠄⡳⠭⠆⠂⠲⠑⠄"}},"key":"214E"},{"category":"Sm","mappings":{"default":{"default":"⠈⠯"}},"key":"2200"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠴⠂⠄"}},"key":"2201"},{"category":"Sm","mappings":{"default":{"default":"⠈⠿"}},"key":"2203"},{"category":"Sm","mappings":{"default":{"default":"⠌⠈⠿"}},"key":"2204"},{"category":"Sm","mappings":{"default":{"default":"⠸⠴"}},"key":"2205"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠴⠖⠄"}},"key":"2206"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠑⠀"}},"key":"2208"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠈⠑⠀"}},"key":"2209"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠑⠀"}},"key":"220A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠨⠁⠀"}},"key":"220B"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠨⠁⠀"}},"key":"220C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠢⠀"}},"key":"220D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠳⠀"}},"key":"220E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠴⠋⠄"}},"key":"220F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠴⠄"}},"key":"2210"},{"category":"Sm","mappings":{"default":{"default":"⠨⠠⠎"}},"key":"2211"},{"category":"Sm","mappings":{"default":{"default":"⠤"}},"key":"2212"},{"category":"Sm","mappings":{"default":{"default":"⠤⠬"}},"key":"2213"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠲⠄"}},"key":"2214"},{"category":"Sm","mappings":{"default":{"default":"⠸⠌"}},"key":"2215"},{"category":"Sm","mappings":{"default":{"default":"⠸⠡"}},"key":"2216"},{"category":"Sm","mappings":{"default":{"default":"⠈⠼"}},"key":"2217"},{"category":"Sm","mappings":{"default":{"default":"⠘⠨⠡"}},"key":"2218"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠔⠄"}},"key":"2219"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠁⠄"}},"key":"221A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠃⠄"}},"key":"221B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠂⠉⠄"}},"key":"221C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠰⠆⠀"}},"key":"221D"},{"category":"Sm","mappings":{"default":{"default":"⠠⠿"}},"key":"221E"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪⠨⠗⠻"}},"key":"221F"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪"}},"key":"2220"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪⠸⠫⠫⠁⠻"}},"key":"2221"},{"category":"Sm","mappings":{"default":{"default":"⠫⠪⠸⠫⠫⠁⠻"}},"key":"2222"},{"category":"Sm","mappings":{"default":{"default":"⠳"}},"key":"2223"},{"category":"Sm","mappings":{"default":{"default":"⠌⠳"}},"key":"2224"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠇⠀"}},"key":"2225"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠫⠇⠀"}},"key":"2226"},{"category":"Sm","mappings":{"default":{"default":"⠈⠩"}},"key":"2227"},{"category":"Sm","mappings":{"default":{"default":"⠈⠬"}},"key":"2228"},{"category":"Sm","mappings":{"default":{"default":"⠨⠩"}},"key":"2229"},{"category":"Sm","mappings":{"default":{"default":"⠨⠬"}},"key":"222A"},{"category":"Sm","mappings":{"default":{"default":"⠮"}},"key":"222B"},{"category":"Sm","mappings":{"default":{"default":"⠮⠮"}},"key":"222C"},{"category":"Sm","mappings":{"default":{"default":"⠮⠮⠮"}},"key":"222D"},{"category":"Sm","mappings":{"default":{"default":"⠮⠈⠫⠉⠻"}},"key":"222E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠆⠋⠄"}},"key":"222F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠴⠄"}},"key":"2230"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠂⠄"}},"key":"2231"},{"category":"Sm","mappings":{"default":{"default":"⠮⠈⠫⠪⠢⠔⠻"}},"key":"2232"},{"category":"Sm","mappings":{"default":{"default":"⠮⠈⠫⠢⠔⠕⠻"}},"key":"2233"},{"category":"Sm","mappings":{"default":{"default":"⠀⠠⠡⠀"}},"key":"2234"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠌⠀"}},"key":"2235"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠂⠀"}},"key":"2236"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠶⠄"}},"key":"2237"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠦⠄"}},"key":"2238"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠔⠄"}},"key":"2239"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠁⠄"}},"key":"223A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠃⠄"}},"key":"223B"},{"category":"Sm","mappings":{"default":{"default":"⠈⠱"}},"key":"223C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠙⠄"}},"key":"223D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠑⠄"}},"key":"223E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠒⠋⠄"}},"key":"223F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠴⠄"}},"key":"2240"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠂⠄"}},"key":"2241"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠆⠄"}},"key":"2242"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠒⠄"}},"key":"2243"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠲⠄"}},"key":"2244"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠱⠈⠱⠀"}},"key":"2245"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠖⠄"}},"key":"2246"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠶⠄"}},"key":"2247"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠦⠄"}},"key":"2248"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠔⠄"}},"key":"2249"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠁⠄"}},"key":"224A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠃⠄"}},"key":"224B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠉⠄"}},"key":"224C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠈⠣⠠⠣⠀"}},"key":"224D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠑⠄"}},"key":"224E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠲⠋⠄"}},"key":"224F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠴⠄"}},"key":"2250"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠂⠄"}},"key":"2251"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠆⠄"}},"key":"2252"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠒⠄"}},"key":"2253"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠲⠄"}},"key":"2254"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠢⠄"}},"key":"2255"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠖⠄"}},"key":"2256"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠶⠄"}},"key":"2257"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠦⠄"}},"key":"2258"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠔⠄"}},"key":"2259"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠁⠄"}},"key":"225A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠃⠄"}},"key":"225B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠉⠄"}},"key":"225C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠙⠄"}},"key":"225D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠑⠄"}},"key":"225E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠢⠋⠄"}},"key":"225F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠅⠀"}},"key":"2260"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠇⠀"}},"key":"2261"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠇⠀"}},"key":"2262"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠖⠒⠄"}},"key":"2263"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠱⠀"}},"key":"2264"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠱⠀"}},"key":"2265"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠨⠅⠀"}},"key":"2266"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠨⠅⠀"}},"key":"2267"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠌⠨⠅⠀"}},"key":"2268"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠌⠨⠅⠀"}},"key":"2269"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠈⠐⠅⠻⠀"}},"key":"226A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠈⠨⠂⠻⠀"}},"key":"226B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠖⠉⠄"}},"key":"226C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠈⠣⠠⠣⠀"}},"key":"226D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠀"}},"key":"226E"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠀"}},"key":"226F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠱⠀"}},"key":"2270"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠱⠀"}},"key":"2271"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠈⠱⠀"}},"key":"2272"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠈⠱⠀"}},"key":"2273"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠈⠱⠀"}},"key":"2274"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠈⠱⠀"}},"key":"2275"},{"category":"Sm","mappings":{"default":{"default":"⠀⠐⠅⠨⠂⠀"}},"key":"2276"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠐⠅⠀"}},"key":"2277"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠐⠅⠨⠂⠀"}},"key":"2278"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠐⠅⠀"}},"key":"2279"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠀"}},"key":"227A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠀"}},"key":"227B"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠱⠀"}},"key":"227C"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠱⠀"}},"key":"227D"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠈⠱⠀"}},"key":"227E"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠈⠱⠀"}},"key":"227F"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠐⠅⠀"}},"key":"2280"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠐⠅⠀"}},"key":"2281"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠐⠅⠀"}},"key":"2282"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠨⠂⠀"}},"key":"2283"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠐⠅⠀"}},"key":"2284"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠸⠨⠂⠀"}},"key":"2285"},{"category":"Sm","mappings":{"default":{"default":"⠸⠀⠅⠱"}},"key":"2286"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠂⠱⠀"}},"key":"2287"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠀⠅⠱⠀"}},"key":"2288"},{"category":"Sm","mappings":{"default":{"default":"⠀⠌⠨⠂⠱⠀"}},"key":"2289"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠐⠅⠌⠨⠅⠀"}},"key":"228A"},{"category":"Sm","mappings":{"default":{"default":"⠀⠸⠨⠂⠌⠨⠅⠀"}},"key":"228B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠉⠄"}},"key":"228C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠙⠄"}},"key":"228D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠑⠄"}},"key":"228E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠦⠋⠄"}},"key":"228F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠴⠄"}},"key":"2290"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠂⠄"}},"key":"2291"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠆⠄"}},"key":"2292"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠒⠄"}},"key":"2293"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠔⠲⠄"}},"key":"2294"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠬⠻"}},"key":"2295"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠤⠻"}},"key":"2296"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠡⠻"}},"key":"2297"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠸⠌⠻"}},"key":"2298"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠡⠻"}},"key":"2299"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠘⠨⠡⠻"}},"key":"229A"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠼⠻"}},"key":"229B"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠨⠅⠻"}},"key":"229C"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠤⠤⠻"}},"key":"229D"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠬⠻"}},"key":"229E"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠤⠻"}},"key":"229F"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠈⠡⠻"}},"key":"22A0"},{"category":"Sm","mappings":{"default":{"default":"⠫⠲⠸⠫⠡⠻"}},"key":"22A1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠆⠄"}},"key":"22A2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠒⠄"}},"key":"22A3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠲⠄"}},"key":"22A4"},{"category":"Sm","mappings":{"default":{"default":"⠀⠫⠏⠀"}},"key":"22A5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠖⠄"}},"key":"22A6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠶⠄"}},"key":"22A7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠦⠄"}},"key":"22A8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠔⠄"}},"key":"22A9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠁⠄"}},"key":"22AA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠃⠄"}},"key":"22AB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠉⠄"}},"key":"22AC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠙⠄"}},"key":"22AD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠑⠄"}},"key":"22AE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠁⠋⠄"}},"key":"22AF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠴⠄"}},"key":"22B0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠂⠄"}},"key":"22B1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠆⠄"}},"key":"22B2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠒⠄"}},"key":"22B3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠲⠄"}},"key":"22B4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠢⠄"}},"key":"22B5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠖⠄"}},"key":"22B6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠶⠄"}},"key":"22B7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠦⠄"}},"key":"22B8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠔⠄"}},"key":"22B9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠁⠄"}},"key":"22BA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠃⠄"}},"key":"22BB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠉⠄"}},"key":"22BC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠙⠄"}},"key":"22BD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠃⠋⠄"}},"key":"22BF"},{"category":"Sm","mappings":{"default":{"default":"⠈⠩"}},"key":"22C0"},{"category":"Sm","mappings":{"default":{"default":"⠈⠬"}},"key":"22C1"},{"category":"Sm","mappings":{"default":{"default":"⠨⠩"}},"key":"22C2"},{"category":"Sm","mappings":{"default":{"default":"⠨⠬"}},"key":"22C3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠲⠄"}},"key":"22C4"},{"category":"Sm","mappings":{"default":{"default":"⠡"}},"key":"22C5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠖⠄"}},"key":"22C6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠶⠄"}},"key":"22C7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠦⠄"}},"key":"22C8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠔⠄"}},"key":"22C9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠁⠄"}},"key":"22CA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠃⠄"}},"key":"22CB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠉⠄"}},"key":"22CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠙⠄"}},"key":"22CD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠑⠄"}},"key":"22CE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠉⠋⠄"}},"key":"22CF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠴⠄"}},"key":"22D0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠂⠄"}},"key":"22D1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠆⠄"}},"key":"22D2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠒⠄"}},"key":"22D3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠲⠄"}},"key":"22D4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠢⠄"}},"key":"22D5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠖⠄"}},"key":"22D6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠶⠄"}},"key":"22D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠦⠄"}},"key":"22D8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠔⠄"}},"key":"22D9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠁⠄"}},"key":"22DA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠃⠄"}},"key":"22DB"},{"category":"Sm","mappings":{"default":{"default":"⠀⠱⠐⠅⠀"}},"key":"22DC"},{"category":"Sm","mappings":{"default":{"default":"⠀⠱⠨⠂⠀"}},"key":"22DD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠑⠄"}},"key":"22DE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠙⠋⠄"}},"key":"22DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠴⠄"}},"key":"22E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠂⠄"}},"key":"22E1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠆⠄"}},"key":"22E2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠒⠄"}},"key":"22E3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠲⠄"}},"key":"22E4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠢⠄"}},"key":"22E5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠖⠄"}},"key":"22E6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠶⠄"}},"key":"22E7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠦⠄"}},"key":"22E8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠔⠄"}},"key":"22E9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠁⠄"}},"key":"22EA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠃⠄"}},"key":"22EB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠉⠄"}},"key":"22EC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠑⠙⠄"}},"key":"22ED"},{"category":"Sm","mappings":{"default":{"default":"⠣⠄⠄⠄"}},"key":"22EE"},{"category":"Sm","mappings":{"default":{"default":"⠄⠄⠄"}},"key":"22EF"},{"category":"Sm","mappings":{"default":{"default":"⠘⠄⠄⠄"}},"key":"22F0"},{"category":"Sm","mappings":{"default":{"default":"⠰⠄⠄⠄"}},"key":"22F1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠆⠄"}},"key":"22F2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠒⠄"}},"key":"22F3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠲⠄"}},"key":"22F4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠢⠄"}},"key":"22F5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠖⠄"}},"key":"22F6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠶⠄"}},"key":"22F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠦⠄"}},"key":"22F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠔⠄"}},"key":"22F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠁⠄"}},"key":"22FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠃⠄"}},"key":"22FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠉⠄"}},"key":"22FC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠙⠄"}},"key":"22FD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠑⠄"}},"key":"22FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠆⠋⠋⠄"}},"key":"22FF"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠴⠄"}},"key":"2300"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠆⠄"}},"key":"2302"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠢⠄"}},"key":"2305"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠖⠄"}},"key":"2306"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠴⠶⠄"}},"key":"2307"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠴⠄"}},"key":"2310"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠂⠄"}},"key":"2311"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠆⠄"}},"key":"2312"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠒⠄"}},"key":"2313"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠂⠲⠄"}},"key":"2314"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠢⠄"}},"key":"2795"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠖⠄"}},"key":"2796"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠔⠶⠄"}},"key":"2797"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠴⠄"}},"key":"27B0"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠃⠋⠄"}},"key":"27BF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠂⠄"}},"key":"27C1"},{"category":"Sm","mappings":{"default":{"default":"⠫⠏"}},"key":"27C2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠒⠄"}},"key":"27C3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠲⠄"}},"key":"27C4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠶⠄"}},"key":"27C7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠦⠄"}},"key":"27C8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠔⠄"}},"key":"27C9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠁⠄"}},"key":"27CA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠃⠄"}},"key":"27CB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠉⠄"}},"key":"27CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠙⠄"}},"key":"27CD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠑⠄"}},"key":"27CE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠉⠋⠄"}},"key":"27CF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠴⠄"}},"key":"27D0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠂⠄"}},"key":"27D1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠆⠄"}},"key":"27D2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠒⠄"}},"key":"27D3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠲⠄"}},"key":"27D4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠢⠄"}},"key":"27D5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠖⠄"}},"key":"27D6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠶⠄"}},"key":"27D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠦⠄"}},"key":"27D8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠔⠄"}},"key":"27D9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠁⠄"}},"key":"27DA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠃⠄"}},"key":"27DB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠉⠄"}},"key":"27DC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠙⠄"}},"key":"27DD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠑⠄"}},"key":"27DE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠙⠋⠄"}},"key":"27DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠴⠄"}},"key":"27E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠂⠄"}},"key":"27E1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠆⠄"}},"key":"27E2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠒⠄"}},"key":"27E3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠲⠄"}},"key":"27E4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠑⠢⠄"}},"key":"27E5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠃⠄"}},"key":"292B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠆⠉⠄"}},"key":"292C"},{"category":"Sm","mappings":{"default":{"default":"⠳⠳⠳"}},"key":"2980"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠂⠄"}},"key":"2981"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠦⠆⠄"}},"key":"2982"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠔⠄"}},"key":"2999"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠔⠁⠄"}},"key":"299A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠴⠄"}},"key":"29B0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠂⠄"}},"key":"29B1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠆⠄"}},"key":"29B2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠢⠄"}},"key":"29B5"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠳⠻"}},"key":"29B6"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠫⠇⠻"}},"key":"29B7"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠸⠡⠻"}},"key":"29B8"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠫⠏⠻"}},"key":"29B9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠁⠄"}},"key":"29BA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠃⠄"}},"key":"29BB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠉⠄"}},"key":"29BC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠃⠑⠄"}},"key":"29BE"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠔⠔⠻"}},"key":"29BF"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠐⠅⠻"}},"key":"29C0"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠨⠂⠻"}},"key":"29C1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠆⠄"}},"key":"29C2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠒⠄"}},"key":"29C3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠲⠄"}},"key":"29C4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠢⠄"}},"key":"29C5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠖⠄"}},"key":"29C6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠶⠄"}},"key":"29C7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠦⠄"}},"key":"29C8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠔⠄"}},"key":"29C9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠁⠄"}},"key":"29CA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠃⠄"}},"key":"29CB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠉⠄"}},"key":"29CC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠙⠄"}},"key":"29CD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠑⠄"}},"key":"29CE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠉⠋⠄"}},"key":"29CF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠴⠄"}},"key":"29D0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠂⠄"}},"key":"29D1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠆⠄"}},"key":"29D2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠒⠄"}},"key":"29D3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠲⠄"}},"key":"29D4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠢⠄"}},"key":"29D5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠖⠄"}},"key":"29D6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠶⠄"}},"key":"29D7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠉⠄"}},"key":"29DC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠙⠄"}},"key":"29DD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠑⠄"}},"key":"29DE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠙⠋⠄"}},"key":"29DF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠴⠄"}},"key":"29E0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠂⠄"}},"key":"29E1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠆⠄"}},"key":"29E2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠒⠄"}},"key":"29E3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠲⠄"}},"key":"29E4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠢⠄"}},"key":"29E5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠖⠄"}},"key":"29E6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠶⠄"}},"key":"29E7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠦⠄"}},"key":"29E8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠔⠄"}},"key":"29E9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠃⠄"}},"key":"29EB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠑⠄"}},"key":"29EE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠑⠋⠄"}},"key":"29EF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠴⠄"}},"key":"29F0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠂⠄"}},"key":"29F1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠆⠄"}},"key":"29F2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠒⠄"}},"key":"29F3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠲⠄"}},"key":"29F4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠢⠄"}},"key":"29F5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠖⠄"}},"key":"29F6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠶⠄"}},"key":"29F7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠦⠄"}},"key":"29F8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠔⠄"}},"key":"29F9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠁⠄"}},"key":"29FA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠃⠄"}},"key":"29FB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠑⠄"}},"key":"29FE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠔⠋⠋⠄"}},"key":"29FF"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠡⠻"}},"key":"2A00"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠬⠻"}},"key":"2A01"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠡⠻"}},"key":"2A02"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠒⠄"}},"key":"2A03"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠲⠄"}},"key":"2A04"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠢⠄"}},"key":"2A05"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠖⠄"}},"key":"2A06"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠶⠄"}},"key":"2A07"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠦⠄"}},"key":"2A08"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠔⠄"}},"key":"2A09"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠁⠄"}},"key":"2A0A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠃⠄"}},"key":"2A0B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠉⠄"}},"key":"2A0C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠙⠄"}},"key":"2A0D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠑⠄"}},"key":"2A0E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠴⠋⠄"}},"key":"2A0F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠴⠄"}},"key":"2A10"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠂⠄"}},"key":"2A11"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠆⠄"}},"key":"2A12"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠒⠄"}},"key":"2A13"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠲⠄"}},"key":"2A14"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠢⠄"}},"key":"2A15"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠖⠄"}},"key":"2A16"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠦⠄"}},"key":"2A18"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠔⠄"}},"key":"2A19"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠁⠄"}},"key":"2A1A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠃⠄"}},"key":"2A1B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠉⠄"}},"key":"2A1C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠙⠄"}},"key":"2A1D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠑⠄"}},"key":"2A1E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠂⠋⠄"}},"key":"2A1F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠴⠄"}},"key":"2A20"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠂⠄"}},"key":"2A21"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠆⠄"}},"key":"2A22"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠒⠄"}},"key":"2A23"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠲⠄"}},"key":"2A24"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠢⠄"}},"key":"2A25"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠖⠄"}},"key":"2A26"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠶⠄"}},"key":"2A27"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠦⠄"}},"key":"2A28"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠔⠄"}},"key":"2A29"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠁⠄"}},"key":"2A2A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠃⠄"}},"key":"2A2B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠉⠄"}},"key":"2A2C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠙⠄"}},"key":"2A2D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠑⠄"}},"key":"2A2E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠆⠋⠄"}},"key":"2A2F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠴⠄"}},"key":"2A30"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠂⠄"}},"key":"2A31"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠆⠄"}},"key":"2A32"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠒⠄"}},"key":"2A33"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠲⠄"}},"key":"2A34"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠢⠄"}},"key":"2A35"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠖⠄"}},"key":"2A36"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠶⠄"}},"key":"2A37"},{"category":"Sm","mappings":{"default":{"default":"⠫⠉⠸⠫⠈⠌⠻"}},"key":"2A38"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠔⠄"}},"key":"2A39"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠁⠄"}},"key":"2A3A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠃⠄"}},"key":"2A3B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠉⠄"}},"key":"2A3C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠙⠄"}},"key":"2A3D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠑⠄"}},"key":"2A3E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠒⠋⠄"}},"key":"2A3F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠴⠄"}},"key":"2A40"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠂⠄"}},"key":"2A41"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠆⠄"}},"key":"2A42"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠒⠄"}},"key":"2A43"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠲⠄"}},"key":"2A44"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠢⠄"}},"key":"2A45"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠖⠄"}},"key":"2A46"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠶⠄"}},"key":"2A47"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠦⠄"}},"key":"2A48"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠔⠄"}},"key":"2A49"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠁⠄"}},"key":"2A4A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠃⠄"}},"key":"2A4B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠉⠄"}},"key":"2A4C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠙⠄"}},"key":"2A4D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠑⠄"}},"key":"2A4E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠲⠋⠄"}},"key":"2A4F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠴⠄"}},"key":"2A50"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠂⠄"}},"key":"2A51"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠆⠄"}},"key":"2A52"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠒⠄"}},"key":"2A53"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠲⠄"}},"key":"2A54"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠢⠄"}},"key":"2A55"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠖⠄"}},"key":"2A56"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠶⠄"}},"key":"2A57"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠦⠄"}},"key":"2A58"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠔⠄"}},"key":"2A59"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠁⠄"}},"key":"2A5A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠃⠄"}},"key":"2A5B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠉⠄"}},"key":"2A5C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠙⠄"}},"key":"2A5D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠑⠄"}},"key":"2A5E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠢⠋⠄"}},"key":"2A5F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠴⠄"}},"key":"2A60"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠂⠄"}},"key":"2A61"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠆⠄"}},"key":"2A62"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠒⠄"}},"key":"2A63"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠲⠄"}},"key":"2A64"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠢⠄"}},"key":"2A65"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠖⠄"}},"key":"2A66"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠶⠄"}},"key":"2A67"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠦⠄"}},"key":"2A68"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠔⠄"}},"key":"2A69"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠁⠄"}},"key":"2A6A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠃⠄"}},"key":"2A6B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠉⠄"}},"key":"2A6C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠙⠄"}},"key":"2A6D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠑⠄"}},"key":"2A6E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠖⠋⠄"}},"key":"2A6F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠴⠄"}},"key":"2A70"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠂⠄"}},"key":"2A71"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠆⠄"}},"key":"2A72"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠒⠄"}},"key":"2A73"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠲⠄"}},"key":"2A74"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠢⠄"}},"key":"2A75"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠖⠄"}},"key":"2A76"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠶⠄"}},"key":"2A77"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠦⠄"}},"key":"2A78"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠔⠄"}},"key":"2A79"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠁⠄"}},"key":"2A7A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠃⠄"}},"key":"2A7B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠉⠄"}},"key":"2A7C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠙⠄"}},"key":"2A7D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠑⠄"}},"key":"2A7E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠶⠋⠄"}},"key":"2A7F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠴⠄"}},"key":"2A80"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠂⠄"}},"key":"2A81"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠆⠄"}},"key":"2A82"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠒⠄"}},"key":"2A83"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠲⠄"}},"key":"2A84"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠢⠄"}},"key":"2A85"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠖⠄"}},"key":"2A86"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠶⠄"}},"key":"2A87"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠦⠄"}},"key":"2A88"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠔⠄"}},"key":"2A89"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠁⠄"}},"key":"2A8A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠃⠄"}},"key":"2A8B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠉⠄"}},"key":"2A8C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠙⠄"}},"key":"2A8D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠑⠄"}},"key":"2A8E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠦⠋⠄"}},"key":"2A8F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠴⠄"}},"key":"2A90"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠂⠄"}},"key":"2A91"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠆⠄"}},"key":"2A92"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠒⠄"}},"key":"2A93"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠲⠄"}},"key":"2A94"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠢⠄"}},"key":"2A95"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠖⠄"}},"key":"2A96"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠶⠄"}},"key":"2A97"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠦⠄"}},"key":"2A98"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠔⠄"}},"key":"2A99"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠁⠄"}},"key":"2A9A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠃⠄"}},"key":"2A9B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠉⠄"}},"key":"2A9C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠙⠄"}},"key":"2A9D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠑⠄"}},"key":"2A9E"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠔⠋⠄"}},"key":"2A9F"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠴⠄"}},"key":"2AA0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠂⠄"}},"key":"2AA1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠆⠄"}},"key":"2AA2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠒⠄"}},"key":"2AA3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠲⠄"}},"key":"2AA4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠢⠄"}},"key":"2AA5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠖⠄"}},"key":"2AA6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠶⠄"}},"key":"2AA7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠦⠄"}},"key":"2AA8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠔⠄"}},"key":"2AA9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠁⠄"}},"key":"2AAA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠃⠄"}},"key":"2AAB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠉⠄"}},"key":"2AAC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠙⠄"}},"key":"2AAD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠁⠑⠄"}},"key":"2AAE"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠱⠀"}},"key":"2AAF"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠱⠀"}},"key":"2AB0"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠌⠱⠀"}},"key":"2AB1"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠌⠱⠀"}},"key":"2AB2"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠨⠅⠀"}},"key":"2AB3"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠨⠅⠀"}},"key":"2AB4"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠌⠨⠅⠀"}},"key":"2AB5"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠌⠨⠅⠀"}},"key":"2AB6"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠈⠱⠈⠱⠀"}},"key":"2AB7"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠈⠱⠈⠱⠀"}},"key":"2AB8"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠌⠈⠱⠈⠱⠀"}},"key":"2AB9"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠌⠈⠱⠈⠱⠀"}},"key":"2ABA"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠐⠅⠈⠨⠐⠅⠻⠀"}},"key":"2ABB"},{"category":"Sm","mappings":{"default":{"default":"⠀⠨⠨⠐⠈⠨⠨⠐⠻⠀"}},"key":"2ABC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠃⠙⠄"}},"key":"2ABD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠃⠑⠄"}},"key":"2ABE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠃⠋⠄"}},"key":"2ABF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠴⠄"}},"key":"2AC0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠂⠄"}},"key":"2AC1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠆⠄"}},"key":"2AC2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠒⠄"}},"key":"2AC3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠲⠄"}},"key":"2AC4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠢⠄"}},"key":"2AC5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠖⠄"}},"key":"2AC6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠶⠄"}},"key":"2AC7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠦⠄"}},"key":"2AC8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠔⠄"}},"key":"2AC9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠁⠄"}},"key":"2ACA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠃⠄"}},"key":"2ACB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠉⠄"}},"key":"2ACC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠙⠄"}},"key":"2ACD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠑⠄"}},"key":"2ACE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠉⠋⠄"}},"key":"2ACF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠴⠄"}},"key":"2AD0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠂⠄"}},"key":"2AD1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠆⠄"}},"key":"2AD2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠒⠄"}},"key":"2AD3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠲⠄"}},"key":"2AD4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠢⠄"}},"key":"2AD5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠖⠄"}},"key":"2AD6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠶⠄"}},"key":"2AD7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠦⠄"}},"key":"2AD8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠔⠄"}},"key":"2AD9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠁⠄"}},"key":"2ADA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠃⠄"}},"key":"2ADB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠉⠄"}},"key":"2ADC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠙⠄"}},"key":"2ADD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠑⠄"}},"key":"2ADE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠙⠋⠄"}},"key":"2ADF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠴⠄"}},"key":"2AE0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠂⠄"}},"key":"2AE1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠆⠄"}},"key":"2AE2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠒⠄"}},"key":"2AE3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠲⠄"}},"key":"2AE4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠢⠄"}},"key":"2AE5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠖⠄"}},"key":"2AE6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠶⠄"}},"key":"2AE7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠦⠄"}},"key":"2AE8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠔⠄"}},"key":"2AE9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠁⠄"}},"key":"2AEA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠃⠄"}},"key":"2AEB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠉⠄"}},"key":"2AEC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠙⠄"}},"key":"2AED"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠑⠄"}},"key":"2AEE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠑⠋⠄"}},"key":"2AEF"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠴⠄"}},"key":"2AF0"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠂⠄"}},"key":"2AF1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠆⠄"}},"key":"2AF2"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠒⠄"}},"key":"2AF3"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠲⠄"}},"key":"2AF4"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠢⠄"}},"key":"2AF5"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠖⠄"}},"key":"2AF6"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠶⠄"}},"key":"2AF7"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠦⠄"}},"key":"2AF8"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠔⠄"}},"key":"2AF9"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠁⠄"}},"key":"2AFA"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠃⠄"}},"key":"2AFB"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠉⠄"}},"key":"2AFC"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠙⠄"}},"key":"2AFD"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠑⠄"}},"key":"2AFE"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠆⠁⠋⠋⠄"}},"key":"2AFF"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠒⠴⠂⠉⠄"}},"key":"301C"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠴⠄"}},"key":"FE10"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠒⠄"}},"key":"FE13"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠲⠄"}},"key":"FE14"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠢⠄"}},"key":"FE15"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠖⠄"}},"key":"FE16"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠂⠔⠄"}},"key":"FE19"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠴⠄"}},"key":"FE30"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠂⠄"}},"key":"FE31"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠆⠄"}},"key":"FE32"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠒⠄"}},"key":"FE33"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠒⠲⠄"}},"key":"FE34"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠢⠄"}},"key":"FE45"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠖⠄"}},"key":"FE46"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠔⠄"}},"key":"FE49"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠁⠄"}},"key":"FE4A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠃⠄"}},"key":"FE4B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠉⠄"}},"key":"FE4C"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠙⠄"}},"key":"FE4D"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠑⠄"}},"key":"FE4E"},{"category":"Pc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠲⠋⠄"}},"key":"FE4F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠴⠄"}},"key":"FE50"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠆⠄"}},"key":"FE52"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠲⠄"}},"key":"FE54"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠢⠄"}},"key":"FE55"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠖⠄"}},"key":"FE56"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠶⠄"}},"key":"FE57"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠦⠄"}},"key":"FE58"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠢⠋⠄"}},"key":"FE5F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠴⠄"}},"key":"FE60"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠂⠄"}},"key":"FE61"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠆⠄"}},"key":"FE62"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠒⠄"}},"key":"FE63"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠲⠄"}},"key":"FE64"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠢⠄"}},"key":"FE65"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠖⠄"}},"key":"FE66"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠦⠄"}},"key":"FE68"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠔⠄"}},"key":"FE69"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠁⠄"}},"key":"FE6A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠖⠃⠄"}},"key":"FE6B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠂⠄"}},"key":"FF01"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠆⠄"}},"key":"FF02"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠒⠄"}},"key":"FF03"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠲⠄"}},"key":"FF04"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠢⠄"}},"key":"FF05"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠖⠄"}},"key":"FF06"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠶⠄"}},"key":"FF07"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠁⠄"}},"key":"FF0A"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠃⠄"}},"key":"FF0B"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠉⠄"}},"key":"FF0C"},{"category":"Pd","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠙⠄"}},"key":"FF0D"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠑⠄"}},"key":"FF0E"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠴⠋⠄"}},"key":"FF0F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠁⠄"}},"key":"FF1A"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠃⠄"}},"key":"FF1B"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠉⠄"}},"key":"FF1C"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠙⠄"}},"key":"FF1D"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠑⠄"}},"key":"FF1E"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠂⠋⠄"}},"key":"FF1F"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠆⠴⠄"}},"key":"FF20"},{"category":"Po","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠉⠄"}},"key":"FF3C"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠒⠑⠄"}},"key":"FF3E"},{"category":"Pc","mappings":{"default":{"default":"⠱"}},"key":"FF3F"},{"category":"Sk","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠲⠴⠄"}},"key":"FF40"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠢⠉⠄"}},"key":"FF5C"},{"category":"Sm","mappings":{"default":{"default":"⠈⠱"}},"key":"FF5E"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠴⠄"}},"key":"FFE0"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠂⠄"}},"key":"FFE1"},{"category":"Sm","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠆⠄"}},"key":"FFE2"},{"category":"Sk","mappings":{"default":{"default":"⠱"}},"key":"FFE3"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠲⠄"}},"key":"FFE4"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠢⠄"}},"key":"FFE5"},{"category":"Sc","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠖⠄"}},"key":"FFE6"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠦⠄"}},"key":"FFE8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠙⠄"}},"key":"FFED"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠑⠑⠄"}},"key":"FFEE"}]
+,
+"nemeth/symbols/math_whitespace.js": 
+[{"locale":"nemeth"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"0020"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"00A0"},{"category":"Cf","mappings":{"default":{"default":"⠤"}},"key":"00AD"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2000"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2001"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2002"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2003"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2004"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2005"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2006"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2007"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2008"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"2009"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"200A"},{"category":"Cf","mappings":{"default":{"default":"⠀"}},"key":"200B"},{"category":"Cf","mappings":{"default":{"default":""}},"key":"200C"},{"category":"Cf","mappings":{"default":{"default":""}},"key":"200D"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠴⠑⠄"}},"key":"200E"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠴⠋⠄"}},"key":"200F"},{"category":"Zl","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠦⠄"}},"key":"2028"},{"category":"Zp","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠔⠄"}},"key":"2029"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠁⠄"}},"key":"202A"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠃⠄"}},"key":"202B"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠉⠄"}},"key":"202C"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠙⠄"}},"key":"202D"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠆⠑⠄"}},"key":"202E"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"202F"},{"category":"Zs","mappings":{"default":{"default":"⠀"}},"key":"205F"},{"category":"Cf","mappings":{"default":{"default":""}},"key":"2060"},{"category":"Cf","mappings":{"default":{"default":"⠀"}},"key":"2061"},{"category":"Cf","mappings":{"default":{"default":"⠈⠡"}},"key":"2062"},{"category":"Cf","mappings":{"default":{"default":"⠠"}},"key":"2063"},{"category":"Cf","mappings":{"default":{"default":"⠬"}},"key":"2064"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠁⠄"}},"key":"206A"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠃⠄"}},"key":"206B"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠑⠄"}},"key":"206E"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠆⠴⠖⠋⠄"}},"key":"206F"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠑⠋⠋⠄"}},"key":"FEFF"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠋⠔⠄"}},"key":"FFF9"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠋⠁⠄"}},"key":"FFFA"},{"category":"Cf","mappings":{"default":{"default":"⠄⡳⠭⠋⠋⠋⠃⠄"}},"key":"FFFB"}]
+,
+"nemeth/symbols/other_stars.js": 
+[{"locale":"nemeth"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠒⠑⠦⠄"}},"key":"23E8"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠖⠴⠢⠄"}},"key":"2605"},{"category":"So","mappings":{"default":{"default":"⠫⠎"}},"key":"2606"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠖⠁⠁⠄"}},"key":"26AA"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠖⠁⠃⠄"}},"key":"26AB"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠴⠢⠄"}},"key":"2705"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠒⠄"}},"key":"2713"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠲⠄"}},"key":"2714"},{"category":"So","mappings":{"default":{"default":"⠈⠡"}},"key":"2715"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠖⠄"}},"key":"2716"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠶⠄"}},"key":"2717"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠦⠄"}},"key":"2718"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠃⠄"}},"key":"271B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠂⠉⠄"}},"key":"271C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠴⠄"}},"key":"2720"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠂⠄"}},"key":"2721"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠆⠄"}},"key":"2722"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠒⠄"}},"key":"2723"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠲⠄"}},"key":"2724"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠢⠄"}},"key":"2725"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠖⠄"}},"key":"2726"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠶⠄"}},"key":"2727"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠦⠄"}},"key":"2728"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠔⠄"}},"key":"2729"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠁⠄"}},"key":"272A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠃⠄"}},"key":"272B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠉⠄"}},"key":"272C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠙⠄"}},"key":"272D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠑⠄"}},"key":"272E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠆⠋⠄"}},"key":"272F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠴⠄"}},"key":"2730"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠂⠄"}},"key":"2731"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠆⠄"}},"key":"2732"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠒⠄"}},"key":"2733"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠲⠄"}},"key":"2734"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠢⠄"}},"key":"2735"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠖⠄"}},"key":"2736"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠔⠄"}},"key":"2739"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠁⠄"}},"key":"273A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠃⠄"}},"key":"273B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠉⠄"}},"key":"273C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠙⠄"}},"key":"273D"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠑⠄"}},"key":"273E"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠒⠋⠄"}},"key":"273F"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠴⠄"}},"key":"2740"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠂⠄"}},"key":"2741"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠆⠄"}},"key":"2742"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠒⠄"}},"key":"2743"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠲⠄"}},"key":"2744"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠢⠄"}},"key":"2745"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠖⠄"}},"key":"2746"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠶⠄"}},"key":"2747"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠦⠄"}},"key":"2748"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠔⠄"}},"key":"2749"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠁⠄"}},"key":"274A"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠃⠄"}},"key":"274B"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠉⠄"}},"key":"274C"},{"category":"So","mappings":{"default":{"default":"⠄⡳⠭⠆⠶⠲⠙⠄"}},"key":"274D"}]
+,
+"nemeth/units/energy.js": 
+[{"locale":"nemeth"},{"category":"energy","mappings":{"default":{"default":"⠠⠺"}},"key":"W","names":["W","w"]},{"category":"energy","mappings":{"default":{"default":"⠅⠠⠺"}},"key":"kW","names":["kw","kW"]},{"category":"energy","mappings":{"default":{"default":"⠍⠠⠺"}},"key":"mW","names":["mw","mW"]},{"category":"energy","mappings":{"default":{"default":"⠅⠺⠓"}},"key":"kwh","names":["kwh","kWh"]},{"category":"energy","mappings":{"default":{"default":"⠠⠚"}},"key":"J","names":["J"]},{"category":"energy","mappings":{"default":{"default":"⠠⠝"}},"key":"N","names":["N"]},{"category":"energy","mappings":{"default":{"default":"⠠⠁"}},"key":"A","names":["A"]},{"category":"energy","mappings":{"default":{"default":"⠠⠧"}},"key":"V","names":["V"]},{"category":"energy","mappings":{"default":{"default":"⠨⠍⠨⠠⠺"}},"key":"µΩ","names":["µΩ"]},{"category":"energy","mappings":{"default":{"default":"⠍⠨⠠⠺"}},"key":"mΩ","names":["mΩ"]},{"category":"energy","mappings":{"default":{"default":"⠨⠠⠺"}},"key":"Ω","names":["Ω","Ohm"]},{"category":"energy","mappings":{"default":{"default":"⠅⠨⠠⠺"}},"key":"kΩ","names":["kΩ","KΩ"]},{"category":"energy","mappings":{"default":{"default":"⠨⠠⠺"}},"key":"Ω","names":["Ω"]},{"category":"energy","mappings":{"default":{"default":"⠍⠨⠠⠺"}},"key":"MΩ","names":["MΩ"]},{"category":"energy","mappings":{"default":{"default":"⠛⠨⠠⠺"}},"key":"GΩ","names":["GΩ"]}]
+,
+"nemeth/units/length.js": 
+[{"locale":"nemeth"},{"category":"Length","mappings":{"default":{"default":"⠍⠍"}},"key":"mm","names":["mm"]},{"category":"Length","mappings":{"default":{"default":"⠉⠍"}},"key":"cm","names":["cm"]},{"category":"Length","mappings":{"default":{"default":"⠍"}},"key":"m","names":["m"]},{"category":"Length","mappings":{"default":{"default":"⠅⠍"}},"key":"km","names":["km"]},{"category":"Length","mappings":{"default":{"default":"⠋⠞"}},"key":"ft","names":["ft","ft."]},{"category":"Length","mappings":{"default":{"default":"⠊⠝"}},"key":"in","names":["in","in."]},{"category":"Length","mappings":{"default":{"default":"⠍⠊"}},"key":"mi","names":["mi","mi."]},{"category":"Length","mappings":{"default":{"default":"⠽⠙"}},"key":"yd","names":["yd","yd."]},{"category":"","mappings":{"default":{"default":"⠝⠲⠍⠸⠲"}},"key":"n.m.","names":["n.m."]}]
+,
+"nemeth/units/memory.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠃"}},"key":"b","names":["b"]},{"category":"","mappings":{"default":{"default":"⠠⠃"}},"key":"B","names":["B"]},{"category":"","mappings":{"default":{"default":"⠅⠃"}},"key":"KB","names":["KB"]},{"category":"","mappings":{"default":{"default":"⠍⠃"}},"key":"MB","names":["MB"]},{"category":"","mappings":{"default":{"default":"⠛⠃"}},"key":"GB","names":["GB"]},{"category":"","mappings":{"default":{"default":"⠞⠃"}},"key":"TB","names":["TB"]}]
+,
+"nemeth/units/other.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠙⠕⠵"}},"key":"doz","names":["doz","doz.","dz","dz."]},{"category":"","mappings":{"default":{"default":"⠎⠟"}},"key":"sq","names":["sq","sq."]},{"category":"","mappings":{"default":{"default":"⠓⠁"}},"key":"ha","names":["ha"]}]
+,
+"nemeth/units/speed.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠅⠞"}},"key":"kt","names":["kt","kt."]},{"category":"","mappings":{"default":{"default":"⠍⠏⠓"}},"key":"mph","names":["mph"]},{"category":"","mappings":{"default":{"default":"⠗⠏⠍"}},"key":"rpm","names":["rpm"]},{"category":"","mappings":{"default":{"default":"⠅⠍⠓"}},"key":"kmh","names":["kmh"]}]
+,
+"nemeth/units/temperature.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠠⠋"}},"key":"F","names":["F","F.","°F"]},{"category":"","mappings":{"default":{"default":"⠠⠉"}},"key":"C","names":["C","°C"]},{"category":"","mappings":{"default":{"default":"⠠⠅"}},"key":"K","names":["K","°K"]}]
+,
+"nemeth/units/time.js": 
+[{"locale":"nemeth"},{"category":"time","mappings":{"default":{"default":"⠝⠎"}},"key":"ns","names":["ns"]},{"category":"time","mappings":{"default":{"default":"⠨⠍⠎"}},"key":"µs","names":["µs"]},{"category":"time","mappings":{"default":{"default":"⠍⠎"}},"key":"ms","names":["ms"]},{"category":"time","mappings":{"default":{"default":"⠎"}},"key":"s","names":["s"]},{"category":"time","mappings":{"default":{"default":"⠍⠊⠝⠀"}},"key":"min","names":["min"]},{"category":"time","mappings":{"default":{"default":"⠓"}},"key":"h","names":["h","hr"]}]
+,
+"nemeth/units/volume.js": 
+[{"locale":"nemeth"},{"category":"volume","mappings":{"default":{"default":"⠃⠃⠇"}},"key":"bbl","names":["bbl.","bbl"]},{"category":"volume","mappings":{"default":{"default":"⠉⠥"}},"key":"cu","names":["cu","cu."]},{"category":"volume","mappings":{"default":{"default":"⠋⠇⠸⠲⠀⠕⠵⠸⠲"}},"key":"fl. oz.","names":["fl. oz."]},{"category":"volume","mappings":{"default":{"default":"⠛⠁⠇"}},"key":"gal","names":["gal","gal."]},{"category":"volume","mappings":{"default":{"default":"⠏⠞"}},"key":"pt","names":["pt","pt."]},{"category":"volume","mappings":{"default":{"default":"⠟⠞"}},"key":"qt","names":["qt","qt."]},{"category":"volume","mappings":{"default":{"default":"⠞⠃⠎⠏"}},"key":"tbsp","names":["tbsp","tbsp."]},{"category":"volume","mappings":{"default":{"default":"⠞⠎⠏"}},"key":"tsp","names":["tsp","tsp."]},{"category":"volume","mappings":{"default":{"default":"⠉⠉"}},"key":"cc","names":["cc"]},{"category":"volume","mappings":{"default":{"default":"⠅⠇"}},"key":"kl","names":["kl"]},{"category":"volume","mappings":{"default":{"default":"⠇"}},"key":"l","names":["l"]},{"category":"volume","mappings":{"default":{"default":"⠍⠇"}},"key":"ml","names":["ml"]}]
+,
+"nemeth/units/weight.js": 
+[{"locale":"nemeth"},{"category":"","mappings":{"default":{"default":"⠇⠃"}},"key":"lb","names":["lb","lb."]},{"category":"","mappings":{"default":{"default":"⠇⠞"}},"key":"LT","names":["LT","L.T."]},{"category":"","mappings":{"default":{"default":"⠕⠵"}},"key":"oz","names":["oz","oz."]},{"key":"µg","names":["µg","mcg"],"mappings":{"default":{"default":"⠨⠍⠛"}}},{"category":"","mappings":{"default":{"default":"⠛⠗"}},"key":"gr","names":["g","gr"]},{"category":"","mappings":{"default":{"default":"⠅⠛"}},"key":"kg","names":["kg"]},{"category":"","mappings":{"default":{"default":"⠍⠉⠛"}},"key":"mcg","names":["mg","µg"]},{"category":"","mappings":{"default":{"default":"⠍⠛"}},"key":"mg","names":["mg"]},{"category":"","mappings":{"default":{"default":"⠞"}},"key":"t","names":["t","T"]}]
+}
+
diff --git a/unpacked/extensions/a11y/semantic-enrich.js b/unpacked/extensions/a11y/semantic-enrich.js
index 0dc5e2f0e3..67da54a7a8 100644
--- a/unpacked/extensions/a11y/semantic-enrich.js
+++ b/unpacked/extensions/a11y/semantic-enrich.js
@@ -1 +1,77 @@
-MathJax.Extension["semantic-enrich"]={version:"1.5.0",config:MathJax.Hub.CombineConfig("semantic-enrich",{disabled:!1}),dependents:[],running:!1,mstyleLookup:{mi:["mathvariant"],mo:["mathvariant","accent","largeop","form","fence","separator","movablelimits"],mn:["mathvariant"],mtext:["mathvariant"],ms:["mathvariant"],mfrac:["linethickness"],mfenced:["open","close","separators"],menclose:["notation"],munder:["accentunder"],mover:["accent"],munderover:["accent","accentunder"]},Filter:function(a,b,c){if(delete a.enriched,!this.config.disabled)try{this.running=!0;var d=sre.Enrich.semanticMathmlSync(a.root.toMathML());a.root=MathJax.InputJax.MathML.Parse.prototype.MakeMML(d),a.root.inputID=c.id,a.enriched=!0,this.running=!1}catch(a){throw this.running=!1,a}},Enable:function(a,b){this.config.disabled=!1,a&&MathJax.Hub.Queue(["Reprocess",MathJax.Hub])},Disable:function(a,b){this.config.disabled=!0;for(var c=this.dependents.length-1;c>=0;c--){var d=this.dependents[c];d.Disable&&d.Disable(!1,b)}a&&MathJax.Hub.Queue(["Reprocess",MathJax.Hub])},Dependent:function(a){this.dependents.push(a)}},function(){var a=MathJax.Ajax.config.path;a.a11y||(a.a11y=HUB.config.root+"/extensions/a11y"),a.SRE||(a.SRE=MathJax.Ajax.fileURL(a.a11y)),MathJax.Ajax.Load("[SRE]/mathjax-sre.js"),MathJax.Hub.Register.StartupHook("Sre Ready",["loadComplete",MathJax.Ajax,"[SRE]/mathjax-sre.js"])}(),MathJax.Callback.Queue(["Require",MathJax.Ajax,"[MathJax]/jax/element/mml/jax.js"],["Require",MathJax.Ajax,"[MathJax]/jax/input/MathML/config.js"],["Require",MathJax.Ajax,"[MathJax]/jax/input/MathML/jax.js"],["Require",MathJax.Ajax,"[MathJax]/extensions/toMathML.js"],MathJax.Hub.Register.StartupHook("Sre Ready",function(){var a=MathJax.ElementJax.mml,b=MathJax.Extension["semantic-enrich"];a.mbase.Augment({toMathMLattributes:function(){var c="mstyle"===this.type?a.math.prototype.defaults:this.defaults,d=this.attrNames||a.copyAttributeNames,e=a.skipAttributes,f=a.copyAttributes,g=b.running?b.mstyleLookup[this.type]||[]:[],h=[],i=this.attr||{};if("math"!==this.type||this.attr&&"xmlns"in this.attr||h.push('xmlns="http://www.w3.org/1998/Math/MathML"'),!this.attrNames)for(var j in c)e[j]||f[j]||!c.hasOwnProperty(j)||null!=this[j]&&this[j]!==c[j]&&this.Get(j,null,1)!==this[j]&&this.toMathMLaddAttr(h,j,this[j]);for(var k=0,l=d.length;k<l;k++)(1!==f[d[k]]||c.hasOwnProperty(d[k]))&&(value=i[d[k]],null==value&&(value=this[d[k]]),null!=value&&this.toMathMLaddAttr(h,d[k],value));for(k=0,l=g.length;k<l;k++)j=g[k],c.hasOwnProperty(j)&&!h["_"+j]&&(value=this.Get(j,1),null!=value&&this.toMathMLaddAttr(h,j,value));return this.toMathMLclass(h),h.length?" "+h.join(" "):""},toMathMLaddAttr:function(a,b,c){a.push(b+'="'+this.toMathMLquote(c)+'"'),a["_"+b]=1}});var c=a.mo.prototype.setTeXclass;a.mo.Augment({setTeXclass:function(b){this.getValues("form","lspace","rspace");return this.useMMLspacing?(this.texClass=a.TEXCLASS.NONE,this):this.attr&&this.attr["data-semantic-added"]?(this.texClass=this.prevClass=a.TEXCLASS.NONE,b):c.apply(this,arguments)}})}),function(){MathJax.Hub.postInputHooks.Add(["Filter",MathJax.Extension["semantic-enrich"]],50),MathJax.Hub.Startup.signal.Post("Semantic Enrich Ready"),MathJax.Ajax.loadComplete("[a11y]/semantic-enrich.js")});
\ No newline at end of file
+MathJax.Extension["semantic-enrich"] = {
+    version: "1.6.0",
+    config: MathJax.Hub.CombineConfig("semantic-enrich", {
+        disabled: !1
+    }),
+    dependents: [],
+    running: !1,
+    mstyleLookup: {
+        mi: [ "mathvariant" ],
+        mo: [ "mathvariant", "accent", "largeop", "form", "fence", "separator", "movablelimits" ],
+        mn: [ "mathvariant" ],
+        mtext: [ "mathvariant" ],
+        ms: [ "mathvariant" ],
+        mfrac: [ "linethickness" ],
+        mfenced: [ "open", "close", "separators" ],
+        menclose: [ "notation" ],
+        munder: [ "accentunder" ],
+        mover: [ "accent" ],
+        munderover: [ "accent", "accentunder" ]
+    },
+    Filter: function(t, a, e) {
+        if (delete t.enriched, !this.config.disabled) try {
+            this.running = !0;
+            var n = sre.Enrich.semanticMathmlSync(t.root.toMathML());
+            t.root = MathJax.InputJax.MathML.Parse.prototype.MakeMML(n), t.root.inputID = e.id, 
+            t.enriched = !0, this.running = !1;
+        } catch (t) {
+            throw this.running = !1, t;
+        }
+    },
+    Enable: function(t, a) {
+        this.config.disabled = !1, t && MathJax.Hub.Queue([ "Reprocess", MathJax.Hub ]);
+    },
+    Disable: function(t, a) {
+        this.config.disabled = !0;
+        for (var e = this.dependents.length - 1; 0 <= e; e--) {
+            var n = this.dependents[e];
+            n.Disable && n.Disable(!1, a);
+        }
+        t && MathJax.Hub.Queue([ "Reprocess", MathJax.Hub ]);
+    },
+    Dependent: function(t) {
+        this.dependents.push(t);
+    }
+}, function() {
+    var t = MathJax.Ajax.config.path;
+    t.a11y || (t.a11y = HUB.config.root + "/extensions/a11y"), t.SRE || (t.SRE = MathJax.Ajax.fileURL(t.a11y)), 
+    MathJax.Ajax.Load("[SRE]/mathjax-sre.js"), MathJax.Hub.Register.StartupHook("Sre Ready", [ "loadComplete", MathJax.Ajax, "[SRE]/mathjax-sre.js" ]);
+}(), MathJax.Callback.Queue([ "Require", MathJax.Ajax, "[MathJax]/jax/element/mml/jax.js" ], [ "Require", MathJax.Ajax, "[MathJax]/jax/input/MathML/config.js" ], [ "Require", MathJax.Ajax, "[MathJax]/jax/input/MathML/jax.js" ], [ "Require", MathJax.Ajax, "[MathJax]/extensions/toMathML.js" ], MathJax.Hub.Register.StartupHook("Sre Ready", function() {
+    var l = MathJax.ElementJax.mml, c = MathJax.Extension["semantic-enrich"];
+    l.mbase.Augment({
+        toMathMLattributes: function() {
+            var t = "mstyle" === this.type ? l.math.prototype.defaults : this.defaults, a = this.attrNames || l.copyAttributeNames, e = l.skipAttributes, n = l.copyAttributes, s = c.running && c.mstyleLookup[this.type] || [], i = [], h = this.attr || {};
+            if ("math" !== this.type || this.attr && "xmlns" in this.attr || i.push('xmlns="http://www.w3.org/1998/Math/MathML"'), 
+            !this.attrNames) for (var r in t) e[r] || n[r] || !t.hasOwnProperty(r) || null != this[r] && this[r] !== t[r] && this.Get(r, null, 1) !== this[r] && this.toMathMLaddAttr(i, r, this[r]);
+            for (var o = 0, u = a.length; o < u; o++) 1 === n[a[o]] && !t.hasOwnProperty(a[o]) || (value = h[a[o]], 
+            null == value && (value = this[a[o]]), null != value && this.toMathMLaddAttr(i, a[o], value));
+            for (o = 0, u = s.length; o < u; o++) r = s[o], t.hasOwnProperty(r) && !i["_" + r] && (value = this.Get(r, 1), 
+            null != value && this.toMathMLaddAttr(i, r, value));
+            return this.toMathMLclass(i), i.length ? " " + i.join(" ") : "";
+        },
+        toMathMLaddAttr: function(t, a, e) {
+            t.push(a + '="' + this.toMathMLquote(e) + '"'), t["_" + a] = 1;
+        }
+    });
+    var a = l.mo.prototype.setTeXclass;
+    l.mo.Augment({
+        setTeXclass: function(t) {
+            this.getValues("form", "lspace", "rspace");
+            return this.useMMLspacing ? (this.texClass = l.TEXCLASS.NONE, this) : this.attr && this.attr["data-semantic-added"] ? (this.texClass = this.prevClass = l.TEXCLASS.NONE, 
+            t) : a.apply(this, arguments);
+        }
+    });
+}), function() {
+    MathJax.Hub.postInputHooks.Add([ "Filter", MathJax.Extension["semantic-enrich"] ], 50), 
+    MathJax.Hub.Startup.signal.Post("Semantic Enrich Ready"), MathJax.Ajax.loadComplete("[a11y]/semantic-enrich.js");
+});
\ No newline at end of file
diff --git a/unpacked/extensions/asciimath2jax.js b/unpacked/extensions/asciimath2jax.js
index 0dfc782c80..5e57377de1 100644
--- a/unpacked/extensions/asciimath2jax.js
+++ b/unpacked/extensions/asciimath2jax.js
@@ -14,7 +14,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2012-2019 The MathJax Consortium
+ *  Copyright (c) 2012-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -30,7 +30,7 @@
  */
 
 MathJax.Extension.asciimath2jax = {
-  version: "2.7.6",
+  version: "2.7.9",
   config: {
     delimiters: [['`','`']],   // The star/stop delimiter pairs for asciimath code
 
diff --git a/unpacked/extensions/fast-preview.js b/unpacked/extensions/fast-preview.js
index de733da5f8..15aee744ed 100644
--- a/unpacked/extensions/fast-preview.js
+++ b/unpacked/extensions/fast-preview.js
@@ -11,7 +11,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2014-2019 The MathJax Consortium
+ *  Copyright (c) 2014-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -33,7 +33,7 @@
   var msieColorBug = BROWSER.isMSIE && (document.documentMode||0) < 8;
 
   var FastPreview = MathJax.Extension["fast-preview"] = {
-    version: "2.7.6",
+    version: "2.7.9",
     enabled: true,
 
     //
diff --git a/unpacked/extensions/jsMath2jax.js b/unpacked/extensions/jsMath2jax.js
index 962b685fe9..f2650e960b 100644
--- a/unpacked/extensions/jsMath2jax.js
+++ b/unpacked/extensions/jsMath2jax.js
@@ -18,7 +18,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -34,7 +34,7 @@
  */
 
 MathJax.Extension.jsMath2jax = {
-  version: "2.7.6",
+  version: "2.7.9",
   
   config: {
     preview: "TeX"    // Set to "none" to prevent preview strings from being inserted
diff --git a/unpacked/extensions/mml2jax.js b/unpacked/extensions/mml2jax.js
index f06ca53266..ea6b0a461d 100644
--- a/unpacked/extensions/mml2jax.js
+++ b/unpacked/extensions/mml2jax.js
@@ -11,7 +11,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -27,7 +27,7 @@
  */
 
 MathJax.Extension.mml2jax = {
-  version: "2.7.6",
+  version: "2.7.9",
   config: {
     preview: "mathml"       // Use the <math> element as the
                             //   preview.  Set to "none" for no preview,
diff --git a/unpacked/extensions/tex2jax.js b/unpacked/extensions/tex2jax.js
index 19993f65c2..846539a997 100644
--- a/unpacked/extensions/tex2jax.js
+++ b/unpacked/extensions/tex2jax.js
@@ -11,7 +11,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -27,7 +27,7 @@
  */
 
 MathJax.Extension.tex2jax = {
-  version: "2.7.6",
+  version: "2.7.9",
   config: {
     inlineMath: [              // The start/stop pairs for in-line math
 //    ['$','$'],               //  (comment out any you don't want, or add your own, but
@@ -168,7 +168,7 @@ MathJax.Extension.tex2jax = {
                           else {element = this.endMatch(match,element)}
       }
       if (this.search.matched) element = this.encloseMath(element);
-        else if (!this.search.start) rescan = this.search;
+        else if (!this.search.start && !this.search.close) rescan = this.search;
       if (element) {
         do {prev = element; element = element.nextSibling}
           while (element && this.ignoreTags[element.nodeName.toLowerCase()] != null);
@@ -235,7 +235,7 @@ MathJax.Extension.tex2jax = {
         this.switchPattern(this.start);
       }
     }
-    else if (match[0] === "{") {search.pcount++}
+    if (match[0] === "{") {search.pcount++}
     else if (match[0] === "}" && search.pcount) {search.pcount--}
     return element;
   },
diff --git a/unpacked/extensions/toMathML.js b/unpacked/extensions/toMathML.js
index 23e6bc6c8a..c944d5c622 100644
--- a/unpacked/extensions/toMathML.js
+++ b/unpacked/extensions/toMathML.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 MathJax.Hub.Register.LoadHook("[MathJax]/jax/element/mml/jax.js",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   var MML = MathJax.ElementJax.mml,
       SETTINGS = MathJax.Hub.config.menuSettings;
diff --git a/unpacked/jax/element/mml/jax.js b/unpacked/jax/element/mml/jax.js
index c1739ea4ef..5e7d3fc6b7 100644
--- a/unpacked/jax/element/mml/jax.js
+++ b/unpacked/jax/element/mml/jax.js
@@ -11,7 +11,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -30,7 +30,7 @@ MathJax.ElementJax.mml = MathJax.ElementJax({
   mimeType: "jax/mml"
 },{
   id: "mml",
-  version: "2.7.6",
+  version: "2.7.9",
   directory: MathJax.ElementJax.directory + "/mml",
   extensionDir: MathJax.ElementJax.extensionDir + "/mml",
   optableDir: MathJax.ElementJax.directory + "/mml/optable"
diff --git a/unpacked/jax/element/mml/optable/Arrows.js b/unpacked/jax/element/mml/optable/Arrows.js
index 47da3abc43..2cbf018803 100644
--- a/unpacked/jax/element/mml/optable/Arrows.js
+++ b/unpacked/jax/element/mml/optable/Arrows.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/Arrows.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/BasicLatin.js b/unpacked/jax/element/mml/optable/BasicLatin.js
index ec4d8d6f23..bd046a9655 100644
--- a/unpacked/jax/element/mml/optable/BasicLatin.js
+++ b/unpacked/jax/element/mml/optable/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/BasicLatin.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/CombDiacritMarks.js b/unpacked/jax/element/mml/optable/CombDiacritMarks.js
index a0dbb35409..b5ea752ac3 100644
--- a/unpacked/jax/element/mml/optable/CombDiacritMarks.js
+++ b/unpacked/jax/element/mml/optable/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/CombDiacritMarks.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/CombDiactForSymbols.js b/unpacked/jax/element/mml/optable/CombDiactForSymbols.js
index 0ddd06c135..1df0cfedcd 100644
--- a/unpacked/jax/element/mml/optable/CombDiactForSymbols.js
+++ b/unpacked/jax/element/mml/optable/CombDiactForSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/CombDiactForSymbols.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/Dingbats.js b/unpacked/jax/element/mml/optable/Dingbats.js
index 66d47dd4bc..e074a906b7 100644
--- a/unpacked/jax/element/mml/optable/Dingbats.js
+++ b/unpacked/jax/element/mml/optable/Dingbats.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/Dingbats.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/GeneralPunctuation.js b/unpacked/jax/element/mml/optable/GeneralPunctuation.js
index 2e2f65953e..dbe3f32c97 100644
--- a/unpacked/jax/element/mml/optable/GeneralPunctuation.js
+++ b/unpacked/jax/element/mml/optable/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/GeneralPunctuation.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/GeometricShapes.js b/unpacked/jax/element/mml/optable/GeometricShapes.js
index c471f38d07..5ab5e2e9e5 100644
--- a/unpacked/jax/element/mml/optable/GeometricShapes.js
+++ b/unpacked/jax/element/mml/optable/GeometricShapes.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/GeometricShapes.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/GreekAndCoptic.js b/unpacked/jax/element/mml/optable/GreekAndCoptic.js
index 0b98de48f0..62bb2169b0 100644
--- a/unpacked/jax/element/mml/optable/GreekAndCoptic.js
+++ b/unpacked/jax/element/mml/optable/GreekAndCoptic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/GreekAndCoptic.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/Latin1Supplement.js b/unpacked/jax/element/mml/optable/Latin1Supplement.js
index 4501b149db..f23737ecb2 100644
--- a/unpacked/jax/element/mml/optable/Latin1Supplement.js
+++ b/unpacked/jax/element/mml/optable/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/Latin1Supplement.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/LetterlikeSymbols.js b/unpacked/jax/element/mml/optable/LetterlikeSymbols.js
index 5cc9311228..0730893ce8 100644
--- a/unpacked/jax/element/mml/optable/LetterlikeSymbols.js
+++ b/unpacked/jax/element/mml/optable/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/LetterlikeSymbols.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/MathOperators.js b/unpacked/jax/element/mml/optable/MathOperators.js
index 1464b23932..357b32e7fe 100644
--- a/unpacked/jax/element/mml/optable/MathOperators.js
+++ b/unpacked/jax/element/mml/optable/MathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/MathOperators.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/MiscMathSymbolsA.js b/unpacked/jax/element/mml/optable/MiscMathSymbolsA.js
index 7cb51514c0..a633b53e35 100644
--- a/unpacked/jax/element/mml/optable/MiscMathSymbolsA.js
+++ b/unpacked/jax/element/mml/optable/MiscMathSymbolsA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/MiscMathSymbolsA.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/MiscMathSymbolsB.js b/unpacked/jax/element/mml/optable/MiscMathSymbolsB.js
index 85d94e75d5..c115927b43 100644
--- a/unpacked/jax/element/mml/optable/MiscMathSymbolsB.js
+++ b/unpacked/jax/element/mml/optable/MiscMathSymbolsB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/MiscMathSymbolsB.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/MiscSymbolsAndArrows.js b/unpacked/jax/element/mml/optable/MiscSymbolsAndArrows.js
index 10d3eb6901..8f0db62e2b 100644
--- a/unpacked/jax/element/mml/optable/MiscSymbolsAndArrows.js
+++ b/unpacked/jax/element/mml/optable/MiscSymbolsAndArrows.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/MiscSymbolsAndArrows.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/MiscTechnical.js b/unpacked/jax/element/mml/optable/MiscTechnical.js
index 9c5ce194e6..fdfe777c2f 100644
--- a/unpacked/jax/element/mml/optable/MiscTechnical.js
+++ b/unpacked/jax/element/mml/optable/MiscTechnical.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/MiscTechnical.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/SpacingModLetters.js b/unpacked/jax/element/mml/optable/SpacingModLetters.js
index a0fa0e502a..c37ad47520 100644
--- a/unpacked/jax/element/mml/optable/SpacingModLetters.js
+++ b/unpacked/jax/element/mml/optable/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/SpacingModLetters.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/SuppMathOperators.js b/unpacked/jax/element/mml/optable/SuppMathOperators.js
index 4fca6480d1..7236117e2e 100644
--- a/unpacked/jax/element/mml/optable/SuppMathOperators.js
+++ b/unpacked/jax/element/mml/optable/SuppMathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/SuppMathOperators.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/SupplementalArrowsA.js b/unpacked/jax/element/mml/optable/SupplementalArrowsA.js
index 0c94c96e7b..4771ce5fd2 100644
--- a/unpacked/jax/element/mml/optable/SupplementalArrowsA.js
+++ b/unpacked/jax/element/mml/optable/SupplementalArrowsA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/SupplementalArrowsA.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/element/mml/optable/SupplementalArrowsB.js b/unpacked/jax/element/mml/optable/SupplementalArrowsB.js
index 20a87c10bd..83b58b3adc 100644
--- a/unpacked/jax/element/mml/optable/SupplementalArrowsB.js
+++ b/unpacked/jax/element/mml/optable/SupplementalArrowsB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/optable/SupplementalArrowsB.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/AsciiMath/config.js b/unpacked/jax/input/AsciiMath/config.js
index 782712b465..76fc519a92 100644
--- a/unpacked/jax/input/AsciiMath/config.js
+++ b/unpacked/jax/input/AsciiMath/config.js
@@ -13,7 +13,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2012-2019 The MathJax Consortium
+ *  Copyright (c) 2012-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -30,7 +30,7 @@
 
 MathJax.InputJax.AsciiMath = MathJax.InputJax({
   id: "AsciiMath",
-  version: "2.7.6",
+  version: "2.7.9",
   directory: MathJax.InputJax.directory + "/AsciiMath",
   extensionDir: MathJax.InputJax.extensionDir + "/AsciiMath",
   
diff --git a/unpacked/jax/input/AsciiMath/jax.js b/unpacked/jax/input/AsciiMath/jax.js
index 588fbdedd6..abbdafcae8 100644
--- a/unpacked/jax/input/AsciiMath/jax.js
+++ b/unpacked/jax/input/AsciiMath/jax.js
@@ -24,7 +24,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2012-2019 The MathJax Consortium
+ *  Copyright (c) 2012-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -1061,7 +1061,8 @@ function AMparseIexpr(str) {
     }
     if (typeof sym1.func != 'undefined' && sym1.func) {
     	sym2 = AMgetSymbol(str);
-    	if (sym2.ttype != INFIX && sym2.ttype != RIGHTBRACKET) {
+    	if (sym2.ttype != INFIX && sym2.ttype != RIGHTBRACKET &&
+     	    (sym1.input.length>1 || sym2.ttype == LEFTBRACKET)) {
     		result = AMparseIexpr(str);
     		node = createMmlNode("mrow",node);
     		node.appendChild(result[0]);
diff --git a/unpacked/jax/input/MathML/config.js b/unpacked/jax/input/MathML/config.js
index 4d9629a9cb..716b7fa917 100644
--- a/unpacked/jax/input/MathML/config.js
+++ b/unpacked/jax/input/MathML/config.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -27,7 +27,7 @@
 
 MathJax.InputJax.MathML = MathJax.InputJax({
   id: "MathML",
-  version: "2.7.6",
+  version: "2.7.9",
   directory: MathJax.InputJax.directory + "/MathML",
   extensionDir: MathJax.InputJax.extensionDir + "/MathML",
   entityDir: MathJax.InputJax.directory + "/MathML/entities",
diff --git a/unpacked/jax/input/MathML/entities/a.js b/unpacked/jax/input/MathML/entities/a.js
index 458a03df1e..24a0149d07 100644
--- a/unpacked/jax/input/MathML/entities/a.js
+++ b/unpacked/jax/input/MathML/entities/a.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/a.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/b.js b/unpacked/jax/input/MathML/entities/b.js
index 86447842f8..325365be45 100644
--- a/unpacked/jax/input/MathML/entities/b.js
+++ b/unpacked/jax/input/MathML/entities/b.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/b.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/c.js b/unpacked/jax/input/MathML/entities/c.js
index f85208b551..12e74929ea 100644
--- a/unpacked/jax/input/MathML/entities/c.js
+++ b/unpacked/jax/input/MathML/entities/c.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/c.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/d.js b/unpacked/jax/input/MathML/entities/d.js
index 54b2ab88d4..9cbd8bf48b 100644
--- a/unpacked/jax/input/MathML/entities/d.js
+++ b/unpacked/jax/input/MathML/entities/d.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/d.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/e.js b/unpacked/jax/input/MathML/entities/e.js
index 4e084f9cc9..29de9e9de7 100644
--- a/unpacked/jax/input/MathML/entities/e.js
+++ b/unpacked/jax/input/MathML/entities/e.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/e.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/f.js b/unpacked/jax/input/MathML/entities/f.js
index 29139bff7b..3851879d31 100644
--- a/unpacked/jax/input/MathML/entities/f.js
+++ b/unpacked/jax/input/MathML/entities/f.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/f.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/fr.js b/unpacked/jax/input/MathML/entities/fr.js
index 0c94fdcf18..123b207180 100644
--- a/unpacked/jax/input/MathML/entities/fr.js
+++ b/unpacked/jax/input/MathML/entities/fr.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/fr.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/g.js b/unpacked/jax/input/MathML/entities/g.js
index 2cbf4385f7..15953d1812 100644
--- a/unpacked/jax/input/MathML/entities/g.js
+++ b/unpacked/jax/input/MathML/entities/g.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/g.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/h.js b/unpacked/jax/input/MathML/entities/h.js
index 450ad15479..26ae7cc44b 100644
--- a/unpacked/jax/input/MathML/entities/h.js
+++ b/unpacked/jax/input/MathML/entities/h.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/h.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/i.js b/unpacked/jax/input/MathML/entities/i.js
index cd540e29d2..ae89b80fa6 100644
--- a/unpacked/jax/input/MathML/entities/i.js
+++ b/unpacked/jax/input/MathML/entities/i.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/i.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/j.js b/unpacked/jax/input/MathML/entities/j.js
index b007fca506..8d3240f4ad 100644
--- a/unpacked/jax/input/MathML/entities/j.js
+++ b/unpacked/jax/input/MathML/entities/j.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/j.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/k.js b/unpacked/jax/input/MathML/entities/k.js
index a6a6eb9f5a..7b1e507530 100644
--- a/unpacked/jax/input/MathML/entities/k.js
+++ b/unpacked/jax/input/MathML/entities/k.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/k.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/l.js b/unpacked/jax/input/MathML/entities/l.js
index 016bd7449b..abcfae6013 100644
--- a/unpacked/jax/input/MathML/entities/l.js
+++ b/unpacked/jax/input/MathML/entities/l.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/l.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/m.js b/unpacked/jax/input/MathML/entities/m.js
index 9ab70b8310..e05a93802d 100644
--- a/unpacked/jax/input/MathML/entities/m.js
+++ b/unpacked/jax/input/MathML/entities/m.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/m.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/n.js b/unpacked/jax/input/MathML/entities/n.js
index 0878d7a1c7..e93b476bed 100644
--- a/unpacked/jax/input/MathML/entities/n.js
+++ b/unpacked/jax/input/MathML/entities/n.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/n.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/o.js b/unpacked/jax/input/MathML/entities/o.js
index becf64d419..b9fc47d443 100644
--- a/unpacked/jax/input/MathML/entities/o.js
+++ b/unpacked/jax/input/MathML/entities/o.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/o.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/opf.js b/unpacked/jax/input/MathML/entities/opf.js
index 3d1a3433b6..ff24d287ba 100644
--- a/unpacked/jax/input/MathML/entities/opf.js
+++ b/unpacked/jax/input/MathML/entities/opf.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/opf.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/p.js b/unpacked/jax/input/MathML/entities/p.js
index fa570476ae..46c24f49d1 100644
--- a/unpacked/jax/input/MathML/entities/p.js
+++ b/unpacked/jax/input/MathML/entities/p.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/p.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/q.js b/unpacked/jax/input/MathML/entities/q.js
index 67b696a1b9..5fcf50d872 100644
--- a/unpacked/jax/input/MathML/entities/q.js
+++ b/unpacked/jax/input/MathML/entities/q.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/q.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/r.js b/unpacked/jax/input/MathML/entities/r.js
index ba8d0e890f..781f9952de 100644
--- a/unpacked/jax/input/MathML/entities/r.js
+++ b/unpacked/jax/input/MathML/entities/r.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/r.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/s.js b/unpacked/jax/input/MathML/entities/s.js
index f399485972..35a34886c3 100644
--- a/unpacked/jax/input/MathML/entities/s.js
+++ b/unpacked/jax/input/MathML/entities/s.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/s.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/scr.js b/unpacked/jax/input/MathML/entities/scr.js
index 04ce6e2279..e48f4d2793 100644
--- a/unpacked/jax/input/MathML/entities/scr.js
+++ b/unpacked/jax/input/MathML/entities/scr.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/scr.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/t.js b/unpacked/jax/input/MathML/entities/t.js
index 98247e7893..693fe9868c 100644
--- a/unpacked/jax/input/MathML/entities/t.js
+++ b/unpacked/jax/input/MathML/entities/t.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/t.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/u.js b/unpacked/jax/input/MathML/entities/u.js
index 078178d223..d1520b6d56 100644
--- a/unpacked/jax/input/MathML/entities/u.js
+++ b/unpacked/jax/input/MathML/entities/u.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/u.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/v.js b/unpacked/jax/input/MathML/entities/v.js
index c6062dc889..03acf0acc8 100644
--- a/unpacked/jax/input/MathML/entities/v.js
+++ b/unpacked/jax/input/MathML/entities/v.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/v.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/w.js b/unpacked/jax/input/MathML/entities/w.js
index 67ea1759ce..a19616b70c 100644
--- a/unpacked/jax/input/MathML/entities/w.js
+++ b/unpacked/jax/input/MathML/entities/w.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/w.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/x.js b/unpacked/jax/input/MathML/entities/x.js
index c88c7d6224..122924e311 100644
--- a/unpacked/jax/input/MathML/entities/x.js
+++ b/unpacked/jax/input/MathML/entities/x.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/x.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/y.js b/unpacked/jax/input/MathML/entities/y.js
index 0c53419380..d92d6b5757 100644
--- a/unpacked/jax/input/MathML/entities/y.js
+++ b/unpacked/jax/input/MathML/entities/y.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/y.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/entities/z.js b/unpacked/jax/input/MathML/entities/z.js
index 291f8b211e..4afff0b012 100644
--- a/unpacked/jax/input/MathML/entities/z.js
+++ b/unpacked/jax/input/MathML/entities/z.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/entities/z.js
  *
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/MathML/jax.js b/unpacked/jax/input/MathML/jax.js
index 98938b4041..d3fc465b68 100644
--- a/unpacked/jax/input/MathML/jax.js
+++ b/unpacked/jax/input/MathML/jax.js
@@ -11,7 +11,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/input/TeX/config.js b/unpacked/jax/input/TeX/config.js
index 6311c9472e..62079f9cde 100644
--- a/unpacked/jax/input/TeX/config.js
+++ b/unpacked/jax/input/TeX/config.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -27,7 +27,7 @@
 
 MathJax.InputJax.TeX = MathJax.InputJax({
   id: "TeX",
-  version: "2.7.6",
+  version: "2.7.9",
   directory: MathJax.InputJax.directory + "/TeX",
   extensionDir: MathJax.InputJax.extensionDir + "/TeX",
   
diff --git a/unpacked/jax/input/TeX/jax.js b/unpacked/jax/input/TeX/jax.js
index a00d23d488..dd2418febb 100644
--- a/unpacked/jax/input/TeX/jax.js
+++ b/unpacked/jax/input/TeX/jax.js
@@ -11,7 +11,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -936,7 +936,7 @@
         displaylines:      ['Matrix',null,null,"center",null,".5em",'D'],
         cr:                 'Cr',
         '\\':               'CrLaTeX',
-        newline:            'Cr',
+        newline:           ['CrLaTeX',true],
         hline:             ['HLine','solid'],
         hdashline:         ['HLine','dashed'],
 //      noalign:            'HandleNoAlign',
@@ -1328,7 +1328,7 @@
       var color = this.GetArgument(name);
       var old = this.stack.env.color; this.stack.env.color = color;
       var math = this.ParseArg(name);
-      if (old) {this.stack.env.color} else {delete this.stack.env.color}
+      if (old) {this.stack.env.color = old} else {delete this.stack.env.color}
       this.Push(MML.mstyle(math).With({mathcolor: color}));
     },
     
@@ -1529,13 +1529,13 @@
     },
     
     Phantom: function (name,v,h) {
-      var box = MML.mphantom(this.ParseArg(name));
+      var mml = this.ParseArg(name);
       if (v || h) {
-        box = MML.mpadded(box);
-        if (h) {box.height = box.depth = 0}
-        if (v) {box.width = 0}
+        mml = MML.mpadded(mml);
+        if (h) {mml.height = mml.depth = 0}
+        if (v) {mml.width = 0}
       }
-      this.Push(MML.TeXAtom(box));
+      this.Push(MML.TeXAtom(MML.mphantom(mml)));
     },
     
     Smash: function (name) {
@@ -1774,9 +1774,9 @@
       this.Push(STACKITEM.cell().With({isCR: true, name: name}));
     },
     
-    CrLaTeX: function (name) {
+    CrLaTeX: function (name, nobrackets) {
       var n;
-      if (this.string.charAt(this.i) === "[") {
+      if (!nobrackets && this.string.charAt(this.i) === "[") {
         n = this.GetBrackets(name,"").replace(/ /g,"").replace(/,/,".");
         if (n && !this.matchDimen(n)) {
           TEX.Error(["BracketMustBeDimension",
diff --git a/unpacked/jax/output/CommonHTML/autoload/annotation-xml.js b/unpacked/jax/output/CommonHTML/autoload/annotation-xml.js
index fc7c4c0198..86b3f5e27a 100644
--- a/unpacked/jax/output/CommonHTML/autoload/annotation-xml.js
+++ b/unpacked/jax/output/CommonHTML/autoload/annotation-xml.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       CHTML = MathJax.OutputJax.CommonHTML;
 
diff --git a/unpacked/jax/output/CommonHTML/autoload/maction.js b/unpacked/jax/output/CommonHTML/autoload/maction.js
index 83e21506a7..37b44494c5 100644
--- a/unpacked/jax/output/CommonHTML/autoload/maction.js
+++ b/unpacked/jax/output/CommonHTML/autoload/maction.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       CHTML = MathJax.OutputJax.CommonHTML;
   
diff --git a/unpacked/jax/output/CommonHTML/autoload/menclose.js b/unpacked/jax/output/CommonHTML/autoload/menclose.js
index eac7704c5e..205275f1b3 100644
--- a/unpacked/jax/output/CommonHTML/autoload/menclose.js
+++ b/unpacked/jax/output/CommonHTML/autoload/menclose.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       CHTML = MathJax.OutputJax.CommonHTML;
   
@@ -111,6 +111,7 @@ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
           rx:CHTML.Px(W/2-t/2), ry:CHTML.Px((H+D)/2-t/2),
           cx:CHTML.Px(W/2),   cy:CHTML.Px((H+D)/2)
         });
+        this.CHTMLsvgViewBox(svg);
       },
 
       /********************************************************/
@@ -187,6 +188,7 @@ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
         this.CHTMLsvgElement(svg.firstChild,"line",{
           x1:CHTML.Px(t/2), y1:CHTML.Px(H+D-t), x2:CHTML.Px(W-t), y2:CHTML.Px(t/2)
         });
+        this.CHTMLsvgViewBox(svg);
       },
 
       /********************************************************/
@@ -197,6 +199,7 @@ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
         this.CHTMLsvgElement(svg.firstChild,"line",{
           x1:CHTML.Px(t/2), y1:CHTML.Px(t/2), x2:CHTML.Px(W-t), y2:CHTML.Px(H+D-t)
         });
+        this.CHTMLsvgViewBox(svg);
       },
 
       /********************************************************/
@@ -221,6 +224,7 @@ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
              "L "+this.CHTMLpx(R-x-dx)+","+this.CHTMLpx(-y),
           stroke:"none"
         });
+        this.CHTMLsvgViewBox(svg);
       },
 
       /********************************************************/
@@ -235,6 +239,7 @@ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
           d: "M "+this.CHTMLpx(p)+",1 " +
              "L 1,"+this.CHTMLpx(H+D-t)+" L "+this.CHTMLpx(W)+","+this.CHTMLpx(H+D-t)
         });
+        this.CHTMLsvgViewBox(svg);
       },
 
       /********************************************************/
@@ -248,6 +253,7 @@ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
           d: "M "+this.CHTMLpx(W)+",1 L 1,1 "+
              "a"+this.CHTMLpx(p)+","+this.CHTMLpx((H+D)/2-t/2)+" 0 0,1 1,"+this.CHTMLpx(H+D-1.5*t)
         });
+        this.CHTMLsvgViewBox(svg);
       },
 
       /********************************************************/
@@ -262,6 +268,7 @@ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
              " L "+this.CHTMLpx(p)+","+this.CHTMLpx(H+D) +
              " L "+this.CHTMLpx(2*p)+",1 L "+this.CHTMLpx(W)+",1"
         });
+        this.CHTMLsvgViewBox(svg);
       }
 
       /********************************************************/
@@ -282,20 +289,26 @@ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
     //  contents
     //
     CHTMLsvg: function (node,bbox,t) {
-      if (!svg) {
-        var svg = document.createElementNS(SVGNS,"svg");
-        if (svg.style) {
-          svg.style.width = CHTML.Em(bbox.W);
-          svg.style.height = CHTML.Em(bbox.H+bbox.D);
-          svg.style.verticalAlign = CHTML.Em(-bbox.D);
-          svg.style.marginLeft = CHTML.Em(-bbox.W);
-        }
-        this.CHTMLsvgElement(svg,"g",{"stroke-width":CHTML.Px(t)});
-        node.parentNode.appendChild(svg);
+      var svg = document.createElementNS(SVGNS,"svg");
+      if (svg.style) {
+        svg.style.width = CHTML.Em(bbox.W);
+        svg.style.height = CHTML.Em(bbox.H+bbox.D);
+        svg.style.verticalAlign = CHTML.Em(-bbox.D);
+        svg.style.marginLeft = CHTML.Em(-bbox.W);
+      }
+      var g = this.CHTMLsvgElement(svg,"g",{"stroke-width":CHTML.Px(t)});
+      if (this.CHTML.scale !== 1) {
+        g.setAttribute('transform', 'scale('+this.CHTML.scale+')');
       }
+      node.parentNode.appendChild(svg);
       return svg;
     },
     //
+    CHTMLsvgViewBox: function (svg) {
+      var bbox = svg.getBBox();
+      svg.setAttribute('viewBox', [bbox.x, bbox.y, bbox.width, bbox.height].join(' '));
+    },
+    //
     //  Add an SVG element to the given svg node
     //
     CHTMLsvgElement: function (svg,type,def) {
diff --git a/unpacked/jax/output/CommonHTML/autoload/mglyph.js b/unpacked/jax/output/CommonHTML/autoload/mglyph.js
index 6d86cc2a05..08bc601dc4 100644
--- a/unpacked/jax/output/CommonHTML/autoload/mglyph.js
+++ b/unpacked/jax/output/CommonHTML/autoload/mglyph.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       CHTML = MathJax.OutputJax.CommonHTML,
       LOCALE = MathJax.Localization;
diff --git a/unpacked/jax/output/CommonHTML/autoload/mmultiscripts.js b/unpacked/jax/output/CommonHTML/autoload/mmultiscripts.js
index f361bac289..5a5155311e 100644
--- a/unpacked/jax/output/CommonHTML/autoload/mmultiscripts.js
+++ b/unpacked/jax/output/CommonHTML/autoload/mmultiscripts.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       CHTML = MathJax.OutputJax.CommonHTML;
 
diff --git a/unpacked/jax/output/CommonHTML/autoload/ms.js b/unpacked/jax/output/CommonHTML/autoload/ms.js
index faebd0ac34..76103c3b1f 100644
--- a/unpacked/jax/output/CommonHTML/autoload/ms.js
+++ b/unpacked/jax/output/CommonHTML/autoload/ms.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       CHTML = MathJax.OutputJax.CommonHTML;
   
diff --git a/unpacked/jax/output/CommonHTML/autoload/mtable.js b/unpacked/jax/output/CommonHTML/autoload/mtable.js
index 82fa0efba0..c7392ee0af 100644
--- a/unpacked/jax/output/CommonHTML/autoload/mtable.js
+++ b/unpacked/jax/output/CommonHTML/autoload/mtable.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       CONFIG = MathJax.Hub.config,
       CHTML = MathJax.OutputJax.CommonHTML,
@@ -362,7 +362,7 @@ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
       //
       //  Adjust widths of columns
       //
-      if (setWidths) {
+      if (setWidths || (relWidth && hasFit)) {
         if (relWidth) {
           //
           //  Attach appropriate widths to the columns
diff --git a/unpacked/jax/output/CommonHTML/autoload/multiline.js b/unpacked/jax/output/CommonHTML/autoload/multiline.js
index 3ba4b2ddb4..dc867be909 100644
--- a/unpacked/jax/output/CommonHTML/autoload/multiline.js
+++ b/unpacked/jax/output/CommonHTML/autoload/multiline.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       CONFIG = MathJax.Hub.config,
       CHTML = MathJax.OutputJax.CommonHTML;
@@ -125,7 +125,9 @@ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
       state.isLast = true;
       this.CHTMLaddLine(stack,start,[],state,ENDVALUES,broken);
 
-      node.style.width = stack.style.width = this.CHTML.pwidth = "100%";
+      if (parent.type === "math") {
+        node.style.width = stack.style.width = this.CHTML.pwidth = "100%";
+      }
       this.CHTML.mwidth = CHTML.Em(this.CHTML.w);
       this.CHTML.isMultiline = parent.CHTML.isMultiline = true;
       stack.style.verticalAlign = CHTML.Em(state.d - this.CHTML.d);
@@ -508,6 +510,8 @@ MathJax.Hub.Register.StartupHook("CommonHTML Jax Ready",function () {
       //
       if (this.data[this.base]) {
         var base = CHTML.addElement(node,"mjx-base");
+        var ic = this.data[this.base].CHTML.ic;
+        if (ic) base.style.marginRight = CHTML.Em(-ic);
         if (start.length > 1) {
           this.data[this.base].CHTMLmoveSlice(start.slice(1),end.slice(1),base,state,values,"marginLeft");
         } else {
diff --git a/unpacked/jax/output/CommonHTML/config.js b/unpacked/jax/output/CommonHTML/config.js
index 7dba6f5524..847970a573 100644
--- a/unpacked/jax/output/CommonHTML/config.js
+++ b/unpacked/jax/output/CommonHTML/config.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -27,7 +27,7 @@
 
 MathJax.OutputJax.CommonHTML = MathJax.OutputJax({
   id: "CommonHTML",
-  version: "2.7.6",
+  version: "2.7.9",
   directory: MathJax.OutputJax.directory + "/CommonHTML",
   extensionDir: MathJax.OutputJax.extensionDir + "/CommonHTML",
   autoloadDir: MathJax.OutputJax.directory + "/CommonHTML/autoload",
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js b/unpacked/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js
index b58f6c48c6..28fe068611 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/CommonHTML/fonts/TeX/AMS-Regular.js
  *
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js
index 413efee3a8..2e5b5c544f 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/CommonHTML/fonts/TeX/Caligraphic-Bold.js
  *
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js
index fa85713013..f55e76457f 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Bold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js
  *
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js
index 011261284a..ccb819973d 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/CommonHTML/fonts/TeX/Fraktur-Regular.js
  *
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Main-Bold.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Main-Bold.js
index c2f5eefec9..c89dc70a21 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/Main-Bold.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Main-Bold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/CommonHTML/fonts/TeX/Main-Bold.js
  *
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js
index e06931c238..af870e0d70 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Math-BoldItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js b/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js
index 86f31d6d59..b4144f4649 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/CommonHTML/fonts/TeX/SansSerif-Bold.js
  *
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js b/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js
index b940e35c41..91c7af67dc 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/CommonHTML/fonts/TeX/SansSerif-Italic.js
  *
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js b/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js
index 90e8c271ca..172a648587 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/CommonHTML/fonts/TeX/SansSerif-Regular.js
  *
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Script-Regular.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Script-Regular.js
index 029d266b9c..80657a655f 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/Script-Regular.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Script-Regular.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/CommonHTML/fonts/TeX/Script-Regular.js
  *
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js b/unpacked/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js
index b68af6ec43..80fb32ed20 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/CommonHTML/fonts/TeX/Typewriter-Regular.js
  *
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js b/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js
index 7e464a8396..3dfebfdb6d 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata-extra.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 (function (CHTML) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   var DELIMITERS = CHTML.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata.js b/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata.js
index db0c208529..4a1b7ba819 100644
--- a/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata.js
+++ b/unpacked/jax/output/CommonHTML/fonts/TeX/fontdata.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 (function (CHTML,MML,AJAX) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   var MAIN   = "MathJax_Main",
       BOLD   = "MathJax_Main-Bold",
diff --git a/unpacked/jax/output/CommonHTML/jax.js b/unpacked/jax/output/CommonHTML/jax.js
index b9ec63cabc..74d7de4eb3 100644
--- a/unpacked/jax/output/CommonHTML/jax.js
+++ b/unpacked/jax/output/CommonHTML/jax.js
@@ -12,7 +12,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -112,6 +112,7 @@
     ".mjx-delim-h > .mjx-char": {display:"inline-block"},
     
     ".mjx-surd": {"vertical-align":"top"},
+    ".mjx-surd + .mjx-box": {display:"inline-flex"},
     
     ".mjx-mphantom *": {visibility:"hidden"},
 
@@ -126,7 +127,7 @@
     
     ".mjx-annotation-xml": {"line-height":"normal"},
     
-    ".mjx-menclose > svg": {fill:"none", stroke:"currentColor"},
+    ".mjx-menclose > svg": {fill:"none", stroke:"currentColor", overflow:"visible"},
 
     ".mjx-mtr":    {display:"table-row"},
     ".mjx-mlabeledtr": {display:"table-row"},
@@ -1865,11 +1866,12 @@
           node.parentNode.style.textAlign = styles.textAlign = values.indentalign;
           // ### FIXME: make percentage widths respond to changes in container
           if (shift) {
+            if (values.indentalign === 'right') node.style.marginRight = CHTML.Em(-shift);
             shift *= CHTML.em/CHTML.outerEm;
             HUB.Insert(styles,({
-              left: {marginLeft: CHTML.Em(shift)},
-              right: {marginRight: CHTML.Em(-shift)},
-              center: {marginLeft: CHTML.Em(shift), marginRight: CHTML.Em(-shift)}
+              left: {textIndent: CHTML.Em(shift)},
+              right: {display: 'flex', flexDirection: 'row-reverse'},
+              center: {textIndent: CHTML.Em(2*shift)}
             })[values.indentalign]);
           }
         }
@@ -2683,7 +2685,7 @@
         if (!this.data[1]) return;
         var BBOX = this.CHTML, bbox = this.data[1].CHTML, root = sqrt.firstChild;
         var scale = bbox.rscale;
-        var h = this.CHTMLrootHeight(bbox,sbox,scale)-d;
+        var h = this.CHTMLrootHeight(bbox,sbox,BBOX.scale)-d;
         var w = Math.min(bbox.w,bbox.r); // remove extra right-hand padding, if any
         var dx = Math.max(w,sbox.offset/scale); 
         if (h) root.style.verticalAlign = CHTML.Em(h/scale);
@@ -2694,7 +2696,7 @@
         return dx*scale;
       },
       CHTMLrootHeight: function (bbox,sbox,scale) {
-        return .45*(sbox.h+sbox.d-.9)+sbox.offset + Math.max(0,bbox.d-.075);
+        return .45*(sbox.h+sbox.d-.9*scale) + .6*scale + Math.max(0,bbox.d*bbox.scale-.075);
       }
     });
     
diff --git a/unpacked/jax/output/HTML-CSS/autoload/annotation-xml.js b/unpacked/jax/output/HTML-CSS/autoload/annotation-xml.js
index e8684f2793..bbda17cf07 100644
--- a/unpacked/jax/output/HTML-CSS/autoload/annotation-xml.js
+++ b/unpacked/jax/output/HTML-CSS/autoload/annotation-xml.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       HTMLCSS = MathJax.OutputJax["HTML-CSS"];
 
diff --git a/unpacked/jax/output/HTML-CSS/autoload/maction.js b/unpacked/jax/output/HTML-CSS/autoload/maction.js
index 7cb3765d9c..d538f70006 100644
--- a/unpacked/jax/output/HTML-CSS/autoload/maction.js
+++ b/unpacked/jax/output/HTML-CSS/autoload/maction.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       HTMLCSS = MathJax.OutputJax["HTML-CSS"];
   
diff --git a/unpacked/jax/output/HTML-CSS/autoload/menclose.js b/unpacked/jax/output/HTML-CSS/autoload/menclose.js
index d68532c0b6..cafeba8a6d 100644
--- a/unpacked/jax/output/HTML-CSS/autoload/menclose.js
+++ b/unpacked/jax/output/HTML-CSS/autoload/menclose.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       HTMLCSS = MathJax.OutputJax["HTML-CSS"];
   
diff --git a/unpacked/jax/output/HTML-CSS/autoload/mglyph.js b/unpacked/jax/output/HTML-CSS/autoload/mglyph.js
index 87f4dcaef8..7d5112b510 100644
--- a/unpacked/jax/output/HTML-CSS/autoload/mglyph.js
+++ b/unpacked/jax/output/HTML-CSS/autoload/mglyph.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       HTMLCSS = MathJax.OutputJax["HTML-CSS"],
       LOCALE = MathJax.Localization;
@@ -69,17 +69,18 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () {
           span.bbox = err.HTMLspanElement().bbox;
         } else {
           var mu = this.HTMLgetMu(span);
+          var scale = this.HTMLgetScale();
           img = HTMLCSS.addElement(span,"img",{isMathJax:true, src:values.src, alt:values.alt, title:values.alt});
           if (values.width)  {
-            img.style.width = HTMLCSS.Em(HTMLCSS.length2em(values.width,mu,this.img.img.width/HTMLCSS.em));
+            img.style.width = HTMLCSS.Em(HTMLCSS.length2em(values.width,mu,this.img.img.width/HTMLCSS.em) * scale);
           }
           if (values.height) {
-            img.style.height = HTMLCSS.Em(HTMLCSS.length2em(values.height,mu,this.img.img.height/HTMLCSS.em));
+            img.style.height = HTMLCSS.Em(HTMLCSS.length2em(values.height,mu,this.img.img.height/HTMLCSS.em) * scale);
           }
           span.bbox.w = span.bbox.rw = img.offsetWidth/HTMLCSS.em;
           span.bbox.h = img.offsetHeight/HTMLCSS.em;
           if (values.valign) {
-            span.bbox.d = -HTMLCSS.length2em(values.valign,mu,this.img.img.height/HTMLCSS.em);
+            span.bbox.d = -HTMLCSS.length2em(values.valign,mu,this.img.img.height/HTMLCSS.em) * scale;
             img.style.verticalAlign = HTMLCSS.Em(-span.bbox.d);
             span.bbox.h -= span.bbox.d;
           }
diff --git a/unpacked/jax/output/HTML-CSS/autoload/mmultiscripts.js b/unpacked/jax/output/HTML-CSS/autoload/mmultiscripts.js
index 6a1d63a687..31f4f97bdb 100644
--- a/unpacked/jax/output/HTML-CSS/autoload/mmultiscripts.js
+++ b/unpacked/jax/output/HTML-CSS/autoload/mmultiscripts.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       HTMLCSS = MathJax.OutputJax["HTML-CSS"];
   
diff --git a/unpacked/jax/output/HTML-CSS/autoload/ms.js b/unpacked/jax/output/HTML-CSS/autoload/ms.js
index a189695a7a..0ee3a90391 100644
--- a/unpacked/jax/output/HTML-CSS/autoload/ms.js
+++ b/unpacked/jax/output/HTML-CSS/autoload/ms.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       HTMLCSS = MathJax.OutputJax["HTML-CSS"];
   
diff --git a/unpacked/jax/output/HTML-CSS/autoload/mtable.js b/unpacked/jax/output/HTML-CSS/autoload/mtable.js
index 61b71ca2a3..086b265977 100644
--- a/unpacked/jax/output/HTML-CSS/autoload/mtable.js
+++ b/unpacked/jax/output/HTML-CSS/autoload/mtable.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       HTMLCSS = MathJax.OutputJax["HTML-CSS"];
   
diff --git a/unpacked/jax/output/HTML-CSS/autoload/multiline.js b/unpacked/jax/output/HTML-CSS/autoload/multiline.js
index d4cab88d19..359fd0e865 100644
--- a/unpacked/jax/output/HTML-CSS/autoload/multiline.js
+++ b/unpacked/jax/output/HTML-CSS/autoload/multiline.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       HTMLCSS = MathJax.OutputJax["HTML-CSS"];
   //
@@ -129,10 +129,7 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () {
       //  Make top-level spans 100% wide.
       //  Finish up the space and add the color again
       //
-      if (isTop) {
-        stack.style.width = "100%";
-        if (parent.type === "math") {span.bbox.width = "100%"}
-      }
+      if (parent.type === "math") {stack.style.width = span.bbox.width = "100%"}
       this.HTMLhandleSpace(span);
       this.HTMLhandleColor(span);
       span.bbox.isMultiline = true;
@@ -535,7 +532,11 @@ MathJax.Hub.Register.StartupHook("HTML-CSS Jax Ready",function () {
           var box = s.HTMLspanElement().parentNode;
           if (s.href) box = box.parentNode;
           var stack = box.parentNode;
-          if (this.data[this.base]) {stack.removeChild(stack.firstChild)}
+          if (this.data[this.base]) {
+            var ic = this.data[this.base].HTMLspanElement().bbox.ic;
+            if (ic) stack.style.marginLeft = HTMLCSS.Em(-ic);
+            stack.removeChild(stack.firstChild);
+          }
 	  for (box = stack.firstChild; box; box = box.nextSibling)
 	    {box.style.left = HTMLCSS.Em(HTMLCSS.unEm(box.style.left)-this.HTMLbaseW)}
           stack.bbox.w -= this.HTMLbaseW; stack.style.width = HTMLCSS.Em(stack.bbox.w);
diff --git a/unpacked/jax/output/HTML-CSS/config.js b/unpacked/jax/output/HTML-CSS/config.js
index a264a954c6..5dcecf9815 100644
--- a/unpacked/jax/output/HTML-CSS/config.js
+++ b/unpacked/jax/output/HTML-CSS/config.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -27,7 +27,7 @@
 
 MathJax.OutputJax["HTML-CSS"] = MathJax.OutputJax({
   id: "HTML-CSS",
-  version: "2.7.6",
+  version: "2.7.9",
   directory: MathJax.OutputJax.directory + "/HTML-CSS",
   extensionDir: MathJax.OutputJax.extensionDir + "/HTML-CSS",
   autoloadDir: MathJax.OutputJax.directory + "/HTML-CSS/autoload",
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js
index b9d3064af1..b58357ad5c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Alphabets/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js
index 4cb0a65e22..b87216a39f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Arrows/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js
index cfa808e746..318d7b3534 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/DoubleStruck/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js
index cd85e0bd9b..ee34cd015a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Fraktur/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js
index ccfde00c0c..3a7f87e40c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Latin/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js
index 28c30fba5d..9e4359b2e3 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Main/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js
index 3e1a10699c..616edae39e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Marks/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js
index 36089cc140..62723d8582 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Misc/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js
index ba873e265b..3b973204a3 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Monospace/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js
index e0050d386e..c1145daf37 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/NonUnicode/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js
index d156b924b9..fb81c134e2 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Normal/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js
index 496d6756b0..cfbf09e28c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Operators/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js
index 18369a7d3c..3765ce7382 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/SansSerif/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js
index 420a4e0f72..13de1bf884 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Script/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js
index 33999c92a5..5c373be0ac 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Shapes/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js
index 8bc06b7cd5..f270f9d299 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size1/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js
index e2f3bf44e6..c73574e1cc 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size2/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js
index 74037382a8..0518ae6107 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size3/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js
index 33aa751a80..af62874bfb 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size4/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js
index d295c0ce6b..af926c8079 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size5/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js
index f26d486eac..ad34ba6f43 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Size6/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js
index 5f269926c8..9232580c1c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Symbols/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js
index ed4a811e08..ed5309b416 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Asana-Math/Variants/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js
index 138ec242bb..29893966ee 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata-extra.js
@@ -4,7 +4,7 @@
  *  
  *  Adds extra stretchy characters to the Asana-Math fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,7 +20,7 @@
  */
 
 (function (HTMLCSS) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js
index 31389c71d5..9ef125da97 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Asana-Math/fontdata.js
@@ -4,7 +4,7 @@
  *  
  *  Initializes the HTML-CSS OutputJax to use the Asana-Math fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 
 (function (HTMLCSS,MML,AJAX) {
 
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var ALPHABETS = "AsanaMathJax_Alphabets",
       ARROWS = "AsanaMathJax_Arrows",
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
index 0e6fab6d7f..cb3bd7bbef 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js
index 4bfe5211bc..a66544a8a0 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Arrows/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
index ef8f96182f..96ab51637a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
index 70f6788e9e..032cad2a60 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js
index eff6700f01..17b7ea72f6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Latin/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js
index 7781d3a16a..3e59bdb445 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Main/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js
index 23261a88e8..5eb8ecb32c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Marks/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js
index e2194f965e..3257395ddc 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Misc/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js
index 656f93225a..777f4ca0bf 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Monospace/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
index ccaa79c901..9033125766 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js
index a8046ef278..b5f55d5af1 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Normal/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js
index 31a67cf924..cabceb3e62 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Operators/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
index 4d3bd62f71..37fb89d87f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js
index 6fdd5fd14f..06802f055d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Script/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js
index c8244e54c7..87415d3f14 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Shapes/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js
index 85727d8cef..903654693f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size1/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js
index 6d5d18f966..25871b01ee 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size2/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js
index abb8977f94..76453f6d18 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size3/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js
index b5bd7fa2cc..bd1d622eed 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size4/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js
index 707113a7df..38ac3870b2 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size5/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js
index ebf2436ff6..e61272ffb4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Size6/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js
index 9bf71eda9a..4a09ed8981 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Symbols/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js
index 3f40f4b1a5..8e86c5541d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Pagella/Variants/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js
index 80d841f702..8e7b736e82 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata-extra.js
@@ -4,7 +4,7 @@
  *  
  *  Adds extra stretchy characters to the Gyre-Pagella fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,7 +20,7 @@
  */
 
 (function (HTMLCSS) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js
index 0194c76653..885abbd9e8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Pagella/fontdata.js
@@ -4,7 +4,7 @@
  *  
  *  Initializes the HTML-CSS OutputJax to use the Gyre-Pagella fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 
 (function (HTMLCSS,MML,AJAX) {
 
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var ALPHABETS = "GyrePagellaMathJax_Alphabets",
       ARROWS = "GyrePagellaMathJax_Arrows",
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js
index af01393801..4bee4d42a7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Alphabets/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js
index 050818f622..6d747383e0 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Arrows/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
index 3dac782884..dcd7a2cb32 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js
index f3c95bd4bf..c17d11bb45 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Fraktur/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js
index f998cf8e35..6a39bece73 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Latin/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js
index 7a82625dc3..6ccfdd698e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Main/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js
index ca39d1ca94..4e6e2b43d3 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Marks/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js
index 4f6d0adead..c364e6f709 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Misc/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js
index b309216ab7..8a6ce5c6c8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Monospace/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
index e479141825..bd78f1c040 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js
index 03f1995a37..c6c6cee264 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Normal/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js
index d78391d58e..3c088654df 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Operators/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js
index 9ef9694bda..6f3b0be427 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/SansSerif/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js
index aaf37bdfe6..37a1c99455 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Script/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js
index 8321e18ae9..1c85af3ce7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Shapes/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js
index 053ecda8ed..3cf28d5d98 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size1/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js
index f2ea67e6de..de78bc3fbe 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size2/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js
index d14c7f2fa5..2660e9aa83 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size3/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js
index 39294bd307..5e9326fa62 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size4/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js
index 661a336aba..253a552c58 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size5/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js
index 22fedaa7cc..6ae26b96bd 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Size6/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js
index 1cf1c8c92f..43af5bfce7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Symbols/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js
index 59a12030e4..d90b8c32a6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Gyre-Termes/Variants/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js
index cf63d90f94..17c2b24e85 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata-extra.js
@@ -4,7 +4,7 @@
  *  
  *  Adds extra stretchy characters to the Gyre-Termes fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,7 +20,7 @@
  */
 
 (function (HTMLCSS) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js
index f6a9fe71e0..2d4d76bc52 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Gyre-Termes/fontdata.js
@@ -4,7 +4,7 @@
  *  
  *  Initializes the HTML-CSS OutputJax to use the Gyre-Termes fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 
 (function (HTMLCSS,MML,AJAX) {
 
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var ALPHABETS = "GyreTermesMathJax_Alphabets",
       ARROWS = "GyreTermesMathJax_Arrows",
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js
index 229f029f22..696884994e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Alphabets/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js
index 4e484195bc..338a30df56 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Arrows/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
index 917fc7f1a2..ad7d806dbb 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js
index c218f1bf88..c4c135062f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Fraktur/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js
index 0ae92a217b..79ce44d24e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Latin/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js
index 77c0877788..2e8e182e5f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Main/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js
index 097fefd476..2f4572eb89 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Marks/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js
index 0c398654af..ab013d7d13 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Misc/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js
index 22fec1778a..8a2511ab37 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Monospace/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js
index 34a1a2d0db..e0de671e47 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/NonUnicode/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js
index 0d6cabb00f..feeec10f37 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Normal/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js
index fee12a4307..f0666784da 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Operators/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js
index 9136694f40..ce0df6e932 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/SansSerif/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js
index b465b604cb..8e4d519ceb 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Script/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js
index 9d088e313a..ff0b717df1 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Shapes/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js
index 0f1fbab6e9..2d4dfdb43a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size1/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js
index 4509fb11b3..024a8fa70c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size2/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js
index 92ae7b5053..b437b7ecfd 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size3/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js
index 9d64d7abd5..15079bd7bb 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size4/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js
index 5e1f8c44e4..eea8ae9599 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size5/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js
index e6fe76d375..2487bc3ef7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size6/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js
index 827bf746b7..86c486fd36 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Size7/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js
index 54c0517541..ebcb2f1d61 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Symbols/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js
index 3c83a7fcd6..75caa3f432 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Latin-Modern/Variants/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js
index b7e1c85ec8..8f8642828f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata-extra.js
@@ -4,7 +4,7 @@
  *  
  *  Adds extra stretchy characters to the Latin-Modern fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,7 +20,7 @@
  */
 
 (function (HTMLCSS) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js
index 8a17f3d867..8f5c94f427 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Latin-Modern/fontdata.js
@@ -4,7 +4,7 @@
  *  
  *  Initializes the HTML-CSS OutputJax to use the Latin-Modern fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 
 (function (HTMLCSS,MML,AJAX) {
 
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var ALPHABETS = "LatinModernMathJax_Alphabets",
       ARROWS = "LatinModernMathJax_Arrows",
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js
index fe2b1f2f8b..6f035ff835 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Alphabets/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js
index 30fb4e5f94..6e7ce5bb6e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Arrows/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js
index 49026dfd8b..021ae93e08 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Fraktur/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js
index 43a467d859..987584d116 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Main/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js
index 9f46d4feb7..db00d39ecc 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Marks/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js
index 4d62878220..3d0796b72f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/NonUnicode/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js
index f888077472..30463fd548 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Normal/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js
index 09b1037da8..a68be49b9a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Operators/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js
index 8bd52114a3..ecfdda9ec8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Script/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js
index bf45fa58d0..b9be7b2800 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Shapes/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js
index 307e6c7e71..20d9003644 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size1/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js
index 1dd0e33280..5dd6a20dd1 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size2/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js
index bf8946235b..a07be317b7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size3/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js
index a411d80ea5..a88a2345f4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size4/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js
index 2701ebb81b..a642ff001e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Size5/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js
index ef3fbd0c6f..6ccc5c708a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Symbols/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js
index f0a8604bc2..0051c5681a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/Neo-Euler/Variants/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js
index 94dfd0faa3..6d92c9b14d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata-extra.js
@@ -4,7 +4,7 @@
  *  
  *  Adds extra stretchy characters to the Neo-Euler fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,7 +20,7 @@
  */
 
 (function (HTMLCSS) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js
index 24610187c6..d7d0a92df5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/Neo-Euler/fontdata.js
@@ -4,7 +4,7 @@
  *  
  *  Initializes the HTML-CSS OutputJax to use the Neo-Euler fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 
 (function (HTMLCSS,MML,AJAX) {
 
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var ALPHABETS = "NeoEulerMathJax_Alphabets",
       ARROWS = "NeoEulerMathJax_Arrows",
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js
index 76409eec07..4cb5470242 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
index 893214ede2..a65cc796d2 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js
index 8ded4c5b57..571fb8b90c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js
index e4224fdffe..98d59ca6a7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Alphabets/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js
index ee652471e2..0aea6d5b64 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js
index 81b165a261..8de17a266f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Arrows/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js
index 071f88ec17..2c2e8f970d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
index f38ecdce83..13dc3426a6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js
index e2903f83e6..017aaf3b40 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js
index e5a9cd96f9..b546e13216 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/DoubleStruck/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js
index 4080deb463..543efc654b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js
index f2ac0446c9..ff2df94060 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Fraktur/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js
index 04725b94e4..ce6604fffe 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js
index c1a5d9eb0e..a110052889 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Latin/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js
index 14611ebc75..9732ee9741 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js
index dda9527381..efbf8eed51 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Latin/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js
index 11c833eb15..b461506ca4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Main/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js
index db9b84825f..b3f381798c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Main/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js
index 095d7d2b47..afa02fc185 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Main/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js
index d7e176a916..656cdb5702 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Main/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js
index 4ca2236704..fc0cc2eb1c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js
index 7f2bb2ccee..2eb6c0356c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Marks/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js
index a2272be12e..af2672cbc9 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js
index f7eeee0a66..f6bbda442f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Marks/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js
index 7ad4ad81b9..a8c5abb8ce 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js
index e018f5a241..15095411fc 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Misc/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js
index a9ddc68f76..73cdcf4f7b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js
index 3430085609..332a94b430 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Misc/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js
index e622bef8d3..66e8e524a9 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Monospace/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js
index 8fb15d56cd..2af55b8e64 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js
index 4c301e0063..86c3d6fd26 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Normal/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -23,6 +23,108 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['STIXMathJax_Normal-bold-italic'] =
   weight: 'bold',
   style: 'italic',
   testString: '\u00A0\uD835\uDC68\uD835\uDC69\uD835\uDC6A\uD835\uDC6B\uD835\uDC6C\uD835\uDC6D\uD835\uDC6E\uD835\uDC6F\uD835\uDC70\uD835\uDC71\uD835\uDC72\uD835\uDC73\uD835\uDC74\uD835\uDC75',
+  skew: {
+    0x1D468: .16,
+    0x1D469: .14,
+    0x1D46A: .12,
+    0x1D46B: .1,
+    0x1D46C: .1,
+    0x1D46D: .1,
+    0x1D46E: .12,
+    0x1D46F: .1,
+    0x1D470: .1,
+    0x1D471: .1,
+    0x1D472: .1,
+    0x1D473: .05,
+    0x1D474: .08,
+    0x1D475: .08,
+    0x1D476: .12,
+    0x1D477: .05,
+    0x1D478: .12,
+    0x1D479: .1,
+    0x1D47A: .12,
+    0x1D47D: -.05,
+    0x1D47E: -.09,
+    0x1D47F: .12,
+    0x1D480: -.05,
+    0x1D481: .1,
+    0x1D482: .09,
+    0x1D483: .03,
+    0x1D484: .09,
+    0x1D485: .22,
+    0x1D486: .09,
+    0x1D487: .19,
+    0x1D488: .08,
+    0x1D48A: .1,
+    0x1D48B: .16,
+    0x1D48D: .09,
+    0x1D48E: .09,
+    0x1D48F: .05,
+    0x1D490: .09,
+    0x1D491: .09,
+    0x1D492: .1,
+    0x1D493: .07,
+    0x1D494: .07,
+    0x1D495: .09,
+    0x1D496: .05,
+    0x1D497: .08,
+    0x1D498: .1,
+    0x1D499: .05,
+    0x1D49A: .1,
+    0x1D49B: .07,
+    0x1D71C: .16,
+    0x1D71D: .14,
+    0x1D71E: .09,
+    0x1D71F: .16,
+    0x1D720: .14,
+    0x1D721: .14,
+    0x1D722: .1,
+    0x1D723: .12,
+    0x1D724: .1,
+    0x1D725: .12,
+    0x1D726: .16,
+    0x1D727: .11,
+    0x1D728: .1,
+    0x1D729: .14,
+    0x1D72A: .14,
+    0x1D72B: .12,
+    0x1D72C: .08,
+    0x1D72D: .14,
+    0x1D72E: .14,
+    0x1D731: .12,
+    0x1D732: .14,
+    0x1D734: .16,
+    0x1D735: .05,
+    0x1D736: .05,
+    0x1D737: .1,
+    0x1D738: .05,
+    0x1D739: .12,
+    0x1D73A: .07,
+    0x1D73B: .09,
+    0x1D73C: .07,
+    0x1D73D: .1,
+    0x1D73E: .05,
+    0x1D740: .07,
+    0x1D741: .1,
+    0x1D742: .07,
+    0x1D743: .12,
+    0x1D744: .08,
+    0x1D745: .08,
+    0x1D746: .1,
+    0x1D747: .1,
+    0x1D748: .05,
+    0X1D749: .05,
+    0x1D74A: .05,
+    0x1D74B: .05,
+    0x1D74C: .09,
+    0x1D74E: .05,
+    0x1D750: .1,
+    0x1D751: .1,
+    0X1D752: .05,
+    0X1D753: .12,
+    0x1D754: .1,
+    0x1D755: .09,
+  },
   0x20: [0,0,250,0,0],
   0xA0: [0,0,250,0,0],
   0x1D468: [685,0,759,39,724],
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js
index 157df58e84..b91eb7288d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Normal/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,6 +22,105 @@ MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['STIXMathJax_Normal-italic'] = {
   family: 'STIXMathJax_Normal',
   style: 'italic',
   testString: '\u00A0\u210E\uD835\uDC34\uD835\uDC35\uD835\uDC36\uD835\uDC37\uD835\uDC38\uD835\uDC39\uD835\uDC3A\uD835\uDC3B\uD835\uDC3C\uD835\uDC3D\uD835\uDC3E\uD835\uDC3F\uD835\uDC40',
+  skew: {
+    0x1D434: .16,
+    0x1D435: .14,
+    0x1D436: .12,
+    0x1D437: .1,
+    0x1D438: .1,
+    0x1D439: .1,
+    0x1D43A: .12,
+    0x1D43B: .1,
+    0x1D43C: .1,
+    0x1D43D: .1,
+    0x1D43E: .1,
+    0x1D43F: .05,
+    0x1D440: .08,
+    0x1D441: .08,
+    0x1D442: .12,
+    0x1D443: .05,
+    0x1D444: .12,
+    0x1D445: .1,
+    0x1D446: .12,
+    0x1D44B: .12,
+    0x1D44C: -.05,
+    0x1D44D: .1,
+    0x1D44E: .09,
+    0x1D44F: .03,
+    0x1D450: .09,
+    0x1D451: .2,
+    0x1D452: .09,
+    0x1D453: .19,
+    0x1D454: .08,
+    0x1D456: .08,
+    0x1D457: .16,
+    0x1D459: .09,
+    0x1D45A: .09,
+    0x1D45B: .05,
+    0x1D45C: .09,
+    0x1D45D: .09,
+    0x1D45E: .1,
+    0x1D45F: .07,
+    0x1D460: .07,
+    0x1D461: .07,
+    0x1D462: .05,
+    0x1D463: .08,
+    0x1D464: .1,
+    0x1D465: .05,
+    0x1D466: .1,
+    0x1D467: .07,
+    0x1D6A4: .05,
+    0x1D6A5: .07,
+    0x1D6E2: .16,
+    0x1D6E3: .14,
+    0x1D6E4: .09,
+    0x1D6E5: .16,
+    0x1D6E6: .14,
+    0x1D6E7: .14,
+    0x1D6E8: .1,
+    0x1D6E9: .12,
+    0x1D6EA: .1,
+    0x1D6EB: .12,
+    0x1D6EC: .16,
+    0x1D6ED: .12,
+    0x1D6EE: .1,
+    0x1D6EF: .14,
+    0x1D6F0: .14,
+    0x1D6F1: .12,
+    0x1D6F2: .08,
+    0x1D6F3: .14,
+    0x1D6F4: .14,
+    0x1D6F7: .12,
+    0x1D6F8: .14,
+    0x1D6FA: .16,
+    0x1D6FB: .05,
+    0x1D6FC: .05,
+    0x1D6FD: .1,
+    0x1D6FE: .05,
+    0x1D6FF: .12,
+    0x1D700: .07,
+    0x1D701: .07,
+    0x1D702: .05,
+    0x1D703: .09,
+    0x1D704: .05,
+    0x1D706: .07,
+    0x1D707: .1,
+    0x1D708: .07,
+    0x1D709: .12,
+    0x1D70A: .08,
+    0x1D70B: .08,
+    0x1D70C: .1,
+    0x1D70D: .1,
+    0x1D70E: .05,
+    0x1D710: .05,
+    0x1D711: .05,
+    0x1D712: .09,
+    0x1D714: .05,
+    0x1D716: .1,
+    0x1D717: .1,
+    0x1D71A: .1,
+    0x1D71B: .07,
+  },
   0x20: [0,0,250,0,0],
   0xA0: [0,0,250,0,0],
   0x210E: [668,11,513,45,483],
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js
index 2c1f017451..669467098b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js
index 043b14486c..e0f4d7b27b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Operators/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js
index 191841aa9f..ab720e3771 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
index ee07d183c6..559a6c2c88 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js
index b2f14df564..bb7c0ede37 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js
index da697bd529..8c0a600e3a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/SansSerif/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js
index 84b34ab329..3a9b0042f5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Script/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js
index 96a1c7c3df..ac448daffe 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Script/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js
index 0006da2c41..698a787bd6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Script/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js
index d603ca847d..d819b4190e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js
index 927ba00f25..29d61aeb6f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js
index f8b54cd145..6546bbf1ea 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Shapes/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js
index 1fff85de0b..44aedca87a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size1/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js
index bfb34abe1c..7953c48c1c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size2/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js
index 9e34b7e9bf..3fec6075ad 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size3/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js
index 6fd5a81fb2..23ee39efc3 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size4/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js
index 2b33458642..12af45891c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Size5/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js
index b8d48a2403..be75d01db7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js
index b7750442df..8e47d340cb 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Symbols/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js
index d7ecb00565..c0a154dfc5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js
index fe986cfb8b..7f443ca06d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Variants/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js
index b43033c0e1..d464133288 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js
index 56b698ac49..593e902d53 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX-Web/Variants/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js
index 2fb9f128c6..d8eb83913f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata-extra.js
@@ -4,7 +4,7 @@
  *  
  *  Adds extra stretchy characters to the STIX-Web fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,7 +20,7 @@
  */
 
 (function (HTMLCSS) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js
index f70b34c8fe..3eca79c65f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX-Web/fontdata.js
@@ -4,7 +4,7 @@
  *  
  *  Initializes the HTML-CSS OutputJax to use the STIX-Web fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 
 (function (HTMLCSS,MML,AJAX) {
 
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var ALPHABETSBOLDITALIC = "STIXMathJax_Alphabets-bold-italic",
       ALPHABETSBOLD = "STIXMathJax_Alphabets-bold",
@@ -171,7 +171,7 @@
           },
           "bold-italic": {
             fonts: [MAINBOLDITALIC,NORMALBOLDITALIC,SCRIPTBOLDITALIC,DOUBLESTRUCKBOLDITALIC,SANSSERIFBOLDITALIC,LATINBOLDITALIC,ALPHABETSBOLDITALIC,MARKSBOLDITALIC,SHAPESBOLDITALIC,MISCBOLDITALIC,VARIANTSBOLDITALIC,SIZE1],
-            offsetA: 0x1D434, offsetG: 0x1D71C,
+            offsetA: 0x1D468, offsetG: 0x1D71C,
             remap: {0x1D455: 0x210E, 0x2202: 0x1D74F, 0x2207: 0x1D735},
             bold: true, italic: true
           },
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js
index dbaea0b44f..0e9b37a6fb 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/AlphaPresentForms.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js
index 866039a097..a24e754ec2 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/Arrows.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js
index 0e988f4618..adfc288488 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/BBBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js
index c0b5bf522c..887d0e342d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoldFraktur.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js
index 1d3f54c7cd..8205b06e4c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/BoxDrawing.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js
index 1747192f1c..0dd366fc63 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js
index 7325256945..d0ae1a2051 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/CombDiactForSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js
index b2b6741441..094471f934 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/ControlPictures.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js
index 8da3ee4094..2b8f334702 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/CurrencySymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js
index dbae18a87b..585679ba8b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/Cyrillic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js
index 0162a226aa..2f6df9e75a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/EnclosedAlphanum.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js
index 16e0f30be4..107b6c5a48 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeneralPunctuation.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js
index 30a15b1c0f..1fc3e2f62f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GeometricShapes.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js
index 937627f32f..90df0cd7eb 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekAndCoptic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js
index 252862bc18..3e4cd9ef31 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js
index 25ca46b64e..64205ac57f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/GreekSSBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js
index 4510caa9d6..81658d47b5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/IPAExtensions.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js
index 51d7c23e7e..d56c7c3660 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/Latin1Supplement.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js
index 781d7a5827..8e0cce7d92 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js
index a02f59f05b..2dd6a4efe5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedAdditional.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js
index 637b539973..ef8f4fd721 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedB.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js
index 0a61163298..2c168eb1c4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LatinExtendedD.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js
index 9c9a5e983d..8d7d52e823 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/LetterlikeSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js
index 9af4eeb7da..b808f1ce43 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js
index 11c13a6626..17ea4c03dc 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js
index 15771f0952..cc1ee63535 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathOperators.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js
index cedd9fe9b9..e4849c50ce 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MathSSBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js
index 6c207f4a63..9411da7be9 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js
index 6a2b4fdb17..741c22cda1 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscMathSymbolsB.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js
index 45e06d49f7..756dab7409 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js
index 5c486d2aa1..925a7fd4b7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/MiscTechnical.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js
index 049f0d25f4..b0ddf1f4ad 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/NumberForms.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js
index 3157ad9a8e..bb0ea9d38f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/PhoneticExtensions.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js
index 4a61e3e38a..ca06ad9470 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/SpacingModLetters.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js
index a7f13149ee..58f704b113 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuperAndSubscripts.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js
index fc57d13f28..c03b391f57 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Bold/SuppMathOperators.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js
index 9318385185..e674f313fe 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/AlphaPresentForms.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js
index 443336edb9..843fd13597 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BasicLatin.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js
index 5e01ec601b..b1dbf38d46 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/BoxDrawing.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js
index 34441a296a..df3edef364 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CombDiactForSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js
index e484b6a892..a73a7173d1 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/ControlPictures.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js
index c3d345e0dc..05490ee008 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/CurrencySymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js
index 9fd4c498fe..2e06783bbe 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Cyrillic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js
index 2542eab130..836370096e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/EnclosedAlphanum.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js
index 595368e680..000bd786ab 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GeneralPunctuation.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js
index d45ea69f5b..f0029df009 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekAndCoptic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js
index a9a92bb839..b482618769 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekBoldItalic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,6 +21,60 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['STIXGeneral-bold-italic'],
   {
+    skew: {
+      0x1D71C: .16,
+      0x1D71D: .14,
+      0x1D71E: .09,
+      0x1D71F: .16,
+      0x1D720: .14,
+      0x1D721: .14,
+      0x1D722: .1,
+      0x1D723: .12,
+      0x1D724: .1,
+      0x1D725: .12,
+      0x1D726: .16,
+      0x1D727: .11,
+      0x1D728: .1,
+      0x1D729: .14,
+      0x1D72A: .14,
+      0x1D72B: .12,
+      0x1D72C: .08,
+      0x1D72D: .14,
+      0x1D72E: .14,
+      0x1D731: .12,
+      0x1D732: .14,
+      0x1D734: .16,
+      0x1D735: .05,
+      0x1D736: .05,
+      0x1D737: .1,
+      0x1D738: .05,
+      0x1D739: .12,
+      0x1D73A: .07,
+      0x1D73B: .09,
+      0x1D73C: .07,
+      0x1D73D: .1,
+      0x1D73E: .05,
+      0x1D740: .07,
+      0x1D741: .1,
+      0x1D742: .07,
+      0x1D743: .12,
+      0x1D744: .08,
+      0x1D745: .08,
+      0x1D746: .1,
+      0x1D747: .1,
+      0x1D748: .05,
+      0X1D749: .05,
+      0x1D74A: .05,
+      0x1D74B: .05,
+      0x1D74C: .09,
+      0x1D74E: .05,
+      0x1D750: .1,
+      0x1D751: .1,
+      0X1D752: .05,
+      0X1D753: .12,
+      0x1D754: .1,
+      0x1D755: .09,
+    },
     0x1D71C: [685,0,759,39,724],       // MATHEMATICAL BOLD ITALIC CAPITAL ALPHA
     0x1D71D: [669,0,726,42,715],       // MATHEMATICAL BOLD ITALIC CAPITAL BETA
     0x1D71E: [669,0,634,42,749],       // MATHEMATICAL BOLD ITALIC CAPITAL GAMMA
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js
index 32d614f428..1ef54155bd 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/GreekSSBoldItalic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js
index cae4a5ba23..09127ef4b0 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/IPAExtensions.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js
index d23d44b23e..e550db014c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Latin1Supplement.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js
index 3da36e5999..51e4770ae7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js
index 89f64cb79a..1ac798e433 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedAdditional.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js
index 888a37ae74..ebbddf8a99 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LatinExtendedB.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js
index 3662b3bb20..7b76363791 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/LetterlikeSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js
index 996f7f93e5..21a94f022c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js
index 3eff0d642d..c5a0ca0c3c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldItalic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,6 +21,56 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['STIXGeneral-bold-italic'],
   {
+    skew: {
+      0x1D468: .16,
+      0x1D469: .14,
+      0x1D46A: .12,
+      0x1D46B: .1,
+      0x1D46C: .1,
+      0x1D46D: .1,
+      0x1D46E: .12,
+      0x1D46F: .1,
+      0x1D470: .1,
+      0x1D471: .1,
+      0x1D472: .1,
+      0x1D473: .05,
+      0x1D474: .08,
+      0x1D475: .08,
+      0x1D476: .12,
+      0x1D477: .05,
+      0x1D478: .12,
+      0x1D479: .1,
+      0x1D47A: .12,
+      0x1D47D: -.05,
+      0x1D47E: -.09,
+      0x1D47F: .12,
+      0x1D480: -.05,
+      0x1D481: .1,
+      0x1D482: .09,
+      0x1D483: .03,
+      0x1D484: .09,
+      0x1D485: .22,
+      0x1D486: .09,
+      0x1D487: .19,
+      0x1D488: .08,
+      0x1D48A: .1,
+      0x1D48B: .16,
+      0x1D48D: .09,
+      0x1D48E: .09,
+      0x1D48F: .05,
+      0x1D490: .09,
+      0x1D491: .09,
+      0x1D492: .1,
+      0x1D493: .07,
+      0x1D494: .07,
+      0x1D495: .09,
+      0x1D496: .05,
+      0x1D497: .08,
+      0x1D498: .1,
+      0x1D499: .05,
+      0x1D49A: .1,
+      0x1D49B: .07,
+    },
     0x1D468: [685,0,759,39,724],       // MATHEMATICAL BOLD ITALIC CAPITAL A
     0x1D469: [669,0,726,42,715],       // MATHEMATICAL BOLD ITALIC CAPITAL B
     0x1D46A: [685,12,701,55,745],      // MATHEMATICAL BOLD ITALIC CAPITAL C
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js
index fab3900348..b38dff4ef1 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathBoldScript.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js
index cabf5a4a89..8a015d9df6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathOperators.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js
index 84054bfc02..183544a68e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/MathSSItalicBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js
index 69481cf9ae..abcb7056ad 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/BoldItalic/SpacingModLetters.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js
index 04a6ed84e8..9b1f0c42db 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/AlphaPresentForms.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js
index d70eaaf67c..095fd709f8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/BoxDrawing.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js
index 1ceb2b9fc6..bb865d7a8b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/CombDiactForSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js
index 283802e948..bc00e38352 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/ControlPictures.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js
index f38a9bc755..d272f40494 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/CurrencySymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js
index 9fb11ad288..57fe121795 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/Cyrillic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js
index 144087e3b2..e2bce833a4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/EnclosedAlphanum.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js
index 5ddffc8ff7..4cc6c0b3c6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/GeneralPunctuation.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js
index e936232e2f..c6243479b1 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekAndCoptic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js
index c822459723..ac13cae885 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/GreekItalic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,6 +21,57 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['STIXGeneral-italic'],
   {
+    skew: {
+      0x1D6E2: .16,
+      0x1D6E3: .14,
+      0x1D6E4: .09,
+      0x1D6E5: .16,
+      0x1D6E6: .14,
+      0x1D6E7: .14,
+      0x1D6E8: .1,
+      0x1D6E9: .12,
+      0x1D6EA: .1,
+      0x1D6EB: .12,
+      0x1D6EC: .16,
+      0x1D6ED: .12,
+      0x1D6EE: .1,
+      0x1D6EF: .14,
+      0x1D6F0: .14,
+      0x1D6F1: .12,
+      0x1D6F2: .08,
+      0x1D6F3: .14,
+      0x1D6F4: .14,
+      0x1D6F7: .12,
+      0x1D6F8: .14,
+      0x1D6FA: .16,
+      0x1D6FB: .05,
+      0x1D6FC: .05,
+      0x1D6FD: .1,
+      0x1D6FE: .05,
+      0x1D6FF: .12,
+      0x1D700: .07,
+      0x1D701: .07,
+      0x1D702: .05,
+      0x1D703: .09,
+      0x1D704: .05,
+      0x1D706: .07,
+      0x1D707: .1,
+      0x1D708: .07,
+      0x1D709: .12,
+      0x1D70A: .08,
+      0x1D70B: .08,
+      0x1D70C: .1,
+      0x1D70D: .1,
+      0x1D70E: .05,
+      0x1D710: .05,
+      0x1D711: .05,
+      0x1D712: .09,
+      0x1D714: .05,
+      0x1D716: .1,
+      0x1D717: .1,
+      0x1D71A: .1,
+      0x1D71B: .07,
+    },
     0x1D6E2: [667,0,717,35,685],       // MATHEMATICAL ITALIC CAPITAL ALPHA
     0x1D6E3: [653,0,696,38,686],       // MATHEMATICAL ITALIC CAPITAL BETA
     0x1D6E4: [653,0,616,38,721],       // MATHEMATICAL ITALIC CAPITAL GAMMA
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js
index b25e954358..b75dd382f0 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/IPAExtensions.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js
index 6d2999eb07..80ecbaf1d4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/Latin1Supplement.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js
index c381140314..565efa6403 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js
index b2848fa669..8b82a91b1a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedAdditional.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js
index 5ecc2c408d..dd65b634c4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/LatinExtendedB.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js
index 2f3126357d..082b1e75b8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/LetterlikeSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js
index 5d00a69071..6160fe813e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js
index 8d952bad25..b5cf455d48 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathItalic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,6 +21,54 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['STIXGeneral-italic'],
   {
+    skew: {
+      0x1D434: .16,
+      0x1D435: .14,
+      0x1D436: .12,
+      0x1D437: .1,
+      0x1D438: .1,
+      0x1D439: .1,
+      0x1D43A: .12,
+      0x1D43B: .1,
+      0x1D43C: .1,
+      0x1D43D: .1,
+      0x1D43E: .1,
+      0x1D43F: .05,
+      0x1D440: .08,
+      0x1D441: .08,
+      0x1D442: .12,
+      0x1D443: .05,
+      0x1D444: .12,
+      0x1D445: .1,
+      0x1D446: .12,
+      0x1D44B: .12,
+      0x1D44C: -.05,
+      0x1D44D: .1,
+      0x1D44E: .09,
+      0x1D44F: .03,
+      0x1D450: .09,
+      0x1D451: .2,
+      0x1D452: .09,
+      0x1D453: .19,
+      0x1D454: .08,
+      0x1D456: .08,
+      0x1D457: .16,
+      0x1D459: .09,
+      0x1D45A: .09,
+      0x1D45B: .05,
+      0x1D45C: .09,
+      0x1D45D: .09,
+      0x1D45E: .1,
+      0x1D45F: .07,
+      0x1D460: .07,
+      0x1D461: .07,
+      0x1D462: .05,
+      0x1D463: .08,
+      0x1D464: .1,
+      0x1D465: .05,
+      0x1D466: .1,
+      0x1D467: .07,
+    },
     0x1D434: [667,0,717,35,685],       // MATHEMATICAL ITALIC CAPITAL A
     0x1D435: [653,0,696,38,686],       // MATHEMATICAL ITALIC CAPITAL B
     0x1D436: [659,12,671,50,711],      // MATHEMATICAL ITALIC CAPITAL C
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js
index 06d0ea87c8..86fe9f24cf 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathOperators.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js
index c2bfcc6c7d..bed3992236 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathSSItalic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js
index 6b49c5a40a..78a632649c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/MathScript.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js
index e8138b1a99..85162d7af8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/SpacingModLetters.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js
index fd8f996481..93bffce777 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Italic/ij.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,6 +21,10 @@
 MathJax.Hub.Insert(
   MathJax.OutputJax['HTML-CSS'].FONTDATA.FONTS['STIXGeneral-italic'],
   {
+    skew: {
+      0x1D6A4: .05,
+      0x1D6A5: .07,
+    },
     0x1D6A4: [441,11,278,47,235],      // MATHEMATICAL ITALIC SMALL DOTLESS I
     0x1D6A5: [441,207,278,-124,246]    // MATHEMATICAL ITALIC SMALL DOTLESS J
   }
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js
index ea30951f35..1c6db41d38 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/AlphaPresentForms.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js
index fd0e4c9356..c1a23c068e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Arrows.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js
index 7ce37b0c24..940034891d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/BBBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js
index bb835e4c15..106b6c6428 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/BlockElements.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js
index 1225cbf4c5..35f3dc5cbb 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoldFraktur.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js
index c07d8efe97..39d44e0375 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/BoxDrawing.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js
index 1c6c2e91ed..61cc63e4ea 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/CJK.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js
index c00422aed5..31fe198cf6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js
index addffc46b1..0cd01ec0cd 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/CombDiactForSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js
index 069ebeadc3..a3bc01a3c2 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/ControlPictures.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js
index 95efa25d6a..fe4dfd5ca7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/CurrencySymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js
index 674b67e7a4..a2e2f2522f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Cyrillic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js
index ab27da759e..9c2bb43acc 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Dingbats.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js
index 6d28316236..898fabe13a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/EnclosedAlphanum.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js
index aec07393f0..c20edf5ff6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Fraktur.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js
index 7db3f0fe5f..67b8f23a47 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeneralPunctuation.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js
index 78626c24c9..5865db84b2 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GeometricShapes.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js
index c2186a0648..15030e755a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekAndCoptic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js
index e74273b0b0..8dbcec24a3 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js
index 4029fbe366..9fc26ea424 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekBoldItalic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js
index 1669c351a8..0880d15099 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekItalic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js
index 5035162423..a9a33eae0b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js
index 74e1cb5bc0..2d6671deed 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/GreekSSBoldItalic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js
index f41296dfbf..9ccf0e2778 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Hiragana.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js
index d4bcb9f8cc..0b83efa635 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/IPAExtensions.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js
index e7ba160e97..23afb73a3a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Latin1Supplement.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js
index ba920fd9dd..6ad5c350f8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js
index ece2fee3fb..5de07a311b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedAdditional.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js
index 8e16ee73fa..1befe1e6b4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedB.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js
index b4288cf270..65b4f73bc0 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LatinExtendedD.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js
index b3858079ed..1375776aac 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/LetterlikeSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js
index b400442152..a176a19e9b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js
index 61d55c0f39..d0b5f93115 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js
index 53ebef0ee2..5481fb0e27 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldItalic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js
index 59b6d55f48..53c3d04fa0 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathBoldScript.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js
index 39d4ac21a6..39e5469436 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathItalic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js
index cec4b8be70..d226b4e2d3 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathOperators.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js
index 2972f2d95f..825ea6cafc 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js
index 76a15792ad..f7fcea2e8e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js
index 287c8543ad..429f96b146 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js
index f20a870836..2474a74838 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathSSItalicBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js
index 5fe782d532..d77d6e5659 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathScript.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js
index 8d23595fad..89b4aa4572 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MathTT.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js
index c8cd25d613..b76f72eed6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js
index 9fae61ab14..dae53d0fb7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscMathSymbolsB.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js
index 8a9edd6d5c..a823232638 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js
index c7860c15e1..aa21b34d0f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscSymbolsAndArrows.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js
index 71288d420f..44c17158c9 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/MiscTechnical.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js
index 3055101509..eddbecfa46 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/NumberForms.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js
index f1103cbde6..d5f56095ee 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/PhoneticExtensions.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js
index 3f86a5616f..7905d48f0b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SpacingModLetters.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js
index 1900371492..32764127e0 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/Specials.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js
index bc4496dcc9..09360fe2c2 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuperAndSubscripts.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js
index ad9b894beb..49375f52fd 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SuppMathOperators.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js
index 6d8f2282c0..430846213f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js
index 9b24e3fd08..b4bdac53db 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/SupplementalArrowsB.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js
index 8ff0f7bd77..b3b80ae0d3 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/General/Regular/ij.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js
index 2a31676ead..67e4dba8f7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Bold/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js
index be32829522..3900b1255e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js
index 3290cbfcb0..c2bb93e65f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsD/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js
index a37489cf24..58311aa77f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Bold/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js
index ee71714c64..2b186dc940 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js
index 4510bb3de4..018efe22e4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsSm/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js
index df2d2276b2..c04dadaa73 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Bold/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js
index f228a8d5bd..ae596714dd 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js
index b524875ef3..00f0e08c26 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUp/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js
index 87d80b8f99..d94366b71e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Bold/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js
index bf99d5761f..cc2a59e4a8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js
index 307869a1d9..e5ee5a2f8d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpD/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js
index 6de2ab9af0..fccfaa88e6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Bold/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js
index fdd39ee3a9..8474ea9e5a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js
index 7be50c9fab..d989e9d8d9 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/IntegralsUpSm/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js
index bcba44f57d..4d1061885b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js
index f550bcc42f..81001aa383 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js
index 383bc2a4c4..e2bde24b4d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Bold/PrivateUse.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js
index e7feedbc54..ff27fc4461 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js
index f22083033a..58bba6d7e1 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js
index 0e2c446525..429d11b173 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/BoldItalic/PrivateUse.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js
index 52d405d6b8..40c3225192 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js
index 4fd7c99d61..9a69a70bbc 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js
index 56fcafd059..fde5d5979d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Italic/PrivateUse.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js
index 9fb4250aad..6159efb049 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js
index 1ef3bcdbc4..33d3e37d05 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js
index dded3217ba..baeb58d719 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/NonUnicode/Regular/PrivateUse.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js
index 66e27a70ce..fef173d2f6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js
index 20c68171af..7a6e207e56 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFiveSym/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js
index 9208a89cb5..2cc9513336 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Bold/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js
index 3910e92a7d..aa9534dd2a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js
index 10e3933032..5c58a27ef1 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeFourSym/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js
index ab1ced1681..5a3cb48876 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js
index 55d62d4edb..1de5c1e400 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Bold/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js
index 5c1523cba4..73239dfc39 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js
index e05c88b2ee..bc58dbfc9c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeOneSym/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js
index eb4845bf13..70f7450fd7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Bold/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js
index a9762fbda1..707580bd1f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js
index 58702f19c4..93824cd5e7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeThreeSym/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js
index 9f7dc00f9d..981f46a39c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Bold/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js
index 7901ce40f5..88c4f1ebdf 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js
index 454fe270bb..eccbf4d056 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/SizeTwoSym/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js
index cfc6c120a6..43901d7eb2 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js
index 1ba05c863b..53a966dfb4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/Variants/Bold/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js
index 402eb3b8a5..cbd14f5524 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/All.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js
index c92d0d6a22..2fca3a8337 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/STIX/Variants/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js
index 0679554676..2e2c0e6204 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-1.0.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2012-2019 The MathJax Consortium
+ *  Copyright (c) 2012-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js
index fca05c09e7..875f6145b1 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-beta.js
@@ -11,7 +11,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js
index 9f5b8a8007..57cb7db571 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata-extra.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 (function (HTMLCSS) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js
index b840d523ea..b30f197ef7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/STIX/fontdata.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 (function (HTMLCSS,MML,HTML) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   HTMLCSS.allowWebFonts = false;
   
@@ -79,7 +79,7 @@
                    remap: {0x2202: 0x1D6DB, 0x2207: 0x1D6C1}},
         "italic": {fonts: [ITALIC,NONUNII,GENERAL,NONUNI,SIZE1], offsetA: 0x1D434, offsetG: 0x1D6E2, italic:true,
                    remap: {0x1D455: 0x210E, 0x2202: 0x1D715, 0x2207: 0x1D6FB}},
-        "bold-italic": {fonts: [BITALIC,"STIXNonUnicode-bold-italic"], offsetA: 0x1D434, offsetG: 0x1D71C, bold:true, italic:true,
+        "bold-italic": {fonts: [BITALIC,"STIXNonUnicode-bold-italic"], offsetA: 0x1D468, offsetG: 0x1D71C, bold:true, italic:true,
                    remap: {0x1D455: 0x210E, 0x2202: 0x1D74F, 0x2207: 0x1D735}},
         "double-struck": {offsetA: 0x1D538, offsetN: 0x1D7D8,
                    remap: {0x1D53A: 0x2102, 0x1D53F: 0x210D, 0x1D545: 0x2115, 0x1D547: 0x2119,
@@ -391,7 +391,8 @@
         0x0332: {alias: 0x23AF, dir:H}, // combining low line
         0x2015: {alias: 0x23AF, dir:H}, // horizontal line
         0x2017: {alias: 0x23AF, dir:H}, // horizontal line
-        0x20D7: {alias: 0x2192, dir:H}, // combinining over right arrow (vector arrow)
+        0x20D6: {alias: 0x2190, dir:H}, // combining over left arrow
+        0x20D7: {alias: 0x2192, dir:H}, // combining over right arrow (vector arrow)
         0x2212: {alias: 0x23AF, dir:H}, // minus
         0x2215: {alias: 0x002F, dir:V}, // division slash
         0x2329: {alias: 0x27E8, dir:V}, // langle
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
index 3715c89b67..ecfcbe4df3 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Arrows.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
index 402884e827..d10122f81f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BBBold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
index c755ce4923..7a20aea819 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/BoxDrawing.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
index 106129ba7c..c61d0a9057 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
index 0edf3ddaa8..81e3e83af7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Dingbats.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
index 6ab1f4c163..cb5cc9516d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
index 3b2fe53361..3331176a33 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeneralPunctuation.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
index 5d689d27f2..c275aa63b4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GeometricShapes.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
index 6a65f41922..04437e764d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/GreekAndCoptic.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
index 4b0fc8eb92..825c2f768a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Latin1Supplement.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
index 8bb9f27820..16ab976bf8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LatinExtendedA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
index e20425f36d..155e4d7355 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
index 57f2ea4c7a..798f411c1a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
index c68c7d03ee..62c2148279 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MathOperators.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
index 0c4618035d..accd1bb467 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
index a3700cd3fb..6ae51bf708 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
index b2ee4f4344..d80c0318c9 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/MiscTechnical.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
index 3a4559fadf..d2962540d9 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/PUA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
index 965b8fa54f..98b1774e5b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SpacingModLetters.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
index b95d9ceef7..2ec443c4eb 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/AMS/Regular/SuppMathOperators.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
index 1be74b96e1..bb16b026b2 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Bold/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
index b3216ec639..e0611a7667 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Caligraphic/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
index 66ffca1910..920acfc31a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/BasicLatin.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
index 6c2d903401..a5ae6ce9cf 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
index 525e112634..17e8fb2d7b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/Other.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
index 75d4af2f69..475d807bbe 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Bold/PUA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
index 034b420664..9cfab3bd11 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/BasicLatin.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
index 6b7901ff2a..3e6784b37f 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
index 97186542f6..a299dfcdb6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/Other.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
index 5e266d178f..f71a20c1c4 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Fraktur/Regular/PUA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
index eac59f08e1..aabdfbe1fe 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Bold/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
index c3db319474..26ee7b5d39 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/BoldItalic/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
index 82eeaf64d2..29451cc32a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Italic/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
index daddbd4e18..c3d5e4cb97 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Greek/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
index 11c49344cd..b91db1b5c7 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Arrows.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
index 0578000c5c..b406205903 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
index 22bd55694c..78fbc765b8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/CombDiactForSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
index b2264884e2..874572d924 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeneralPunctuation.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
index b9ef72d14f..6672a934d2 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/GeometricShapes.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
index f5eee2dcfe..357bc19bbf 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Latin1Supplement.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
index 4bc721b155..d92f9f5417 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
index 160e559d11..d7a86a8ef5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LatinExtendedB.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
index 3b514cb4c3..85189aafbc 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/LetterlikeSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
index da4a52f469..8c572a892a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
index 2cf7b5b9b0..d893b455ad 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MathOperators.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
index b904c4b029..02f007e7eb 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
index 73758746da..4a4fa3b95c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
index 05f1631e60..d3cc202ac0 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/MiscTechnical.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
index 8e00ade43d..f36239dffd 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SpacingModLetters.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
index fce74f26d7..30595a5a9d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SuppMathOperators.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
index 6e5fe5e3c3..d5b7d2e3fd 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Bold/SupplementalArrowsA.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
index e1bf08e049..ddb7853515 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
index 110acf991e..0134cff54c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/GeneralPunctuation.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
index e26b379ff0..b8be909cca 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Latin1Supplement.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
index aaa19c4cdb..7e6ad46469 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/LetterlikeSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
index ecb28bba52..619ffdc285 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Italic/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
index c63c7839b6..95f5acc7ea 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
index 379a6ef3e0..ab30988777 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/GeometricShapes.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
index bb68d1a072..7a72261b02 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
index 6e309b049a..2fc9044420 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/MiscSymbols.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
index 94fbbf6c7b..7c74bffcca 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Main/Regular/SpacingModLetters.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
index ea62adb655..abfa423ff8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Math/BoldItalic/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
index 6e8459a9bd..1426d886ea 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Math/Italic/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
index 0b88cc07b3..08ca120433 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/BasicLatin.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
index 7547767fef..991d11e427 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
index c1bd67c766..55f545ae36 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
index 98348632e1..4aca0a0aee 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Bold/Other.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
index 20d2cdb5cf..049abb35e8 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/BasicLatin.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
index 0a24e6ed39..1c68d7bec6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
index b971758bfb..9241f4357b 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
index 6cb020a0f6..ca00459df5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Italic/Other.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
index 0d12d4a792..bc9dbd7c42 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/BasicLatin.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
index e272826481..b62d062f99 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
index 9cf1012b58..671b376712 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
index 20032c2e5a..9dadb2685e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/SansSerif/Regular/Other.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
index 1018a11bf2..778130a4fa 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/BasicLatin.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
index 66813a56b6..22ad8a620e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
index 75ec4c0e15..202bcc048a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Script/Regular/Other.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
index 14eed5e119..8c34d77f5d 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Size1/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
index 15bedf616c..029dd19d42 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Size2/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
index ee1a6dd8e0..9fb6088a8e 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Size3/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
index 74107b70e3..c49e0d3fa5 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Size4/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
index 7aa00cff10..4e67b8b401 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/BasicLatin.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
index 4ff7a8672a..3384c6b10a 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
index 31873e4684..6a7513712c 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
index 9a9835a4d8..aa81bd7630 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/Typewriter/Regular/Other.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
index cfb8d06cc4..282b52c681 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/WinChrome/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
index ab21492e1b..a70f6aead3 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/AMS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
index 75d1fddf4d..291ccfd5a6 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Bold.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
index 75481c2ad4..83dc3364dc 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/HTML-CSS/fonts/TeX/WinIE6/Regular/Main.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
index 0691378a0a..bdfd28e643 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata-extra.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 (function (HTMLCSS) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   var DELIMITERS = HTMLCSS.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js
index 436e804e1e..5abd01e6ed 100644
--- a/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js
+++ b/unpacked/jax/output/HTML-CSS/fonts/TeX/fontdata.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 (function (HTMLCSS,MML,AJAX) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   var MAIN   = "MathJax_Main",
       BOLD   = "MathJax_Main-bold",
diff --git a/unpacked/jax/output/HTML-CSS/imageFonts.js b/unpacked/jax/output/HTML-CSS/imageFonts.js
index 402989d49b..aacf7816e9 100644
--- a/unpacked/jax/output/HTML-CSS/imageFonts.js
+++ b/unpacked/jax/output/HTML-CSS/imageFonts.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 (function (HUB,HTMLCSS,AJAX) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   HUB.Register.LoadHook(HTMLCSS.fontDir + "/fontdata.js",function () {
 
diff --git a/unpacked/jax/output/HTML-CSS/jax.js b/unpacked/jax/output/HTML-CSS/jax.js
index 66adbb5aec..b6d04697a4 100644
--- a/unpacked/jax/output/HTML-CSS/jax.js
+++ b/unpacked/jax/output/HTML-CSS/jax.js
@@ -11,7 +11,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/NativeMML/config.js b/unpacked/jax/output/NativeMML/config.js
index 086df0cd5d..f3dd18c5a1 100644
--- a/unpacked/jax/output/NativeMML/config.js
+++ b/unpacked/jax/output/NativeMML/config.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -27,7 +27,7 @@
 
 MathJax.OutputJax.NativeMML = MathJax.OutputJax({
   id: "NativeMML",
-  version: "2.7.6",
+  version: "2.7.9",
   directory: MathJax.OutputJax.directory + "/NativeMML",
   extensionDir: MathJax.OutputJax.extensionDir + "/NativeMML",
   
diff --git a/unpacked/jax/output/NativeMML/jax.js b/unpacked/jax/output/NativeMML/jax.js
index 76890db2c9..c3c20b4b89 100644
--- a/unpacked/jax/output/NativeMML/jax.js
+++ b/unpacked/jax/output/NativeMML/jax.js
@@ -10,7 +10,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2010-2019 The MathJax Consortium
+ *  Copyright (c) 2010-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/PlainSource/config.js b/unpacked/jax/output/PlainSource/config.js
index bd6bfbc2fd..4ecce7ad03 100644
--- a/unpacked/jax/output/PlainSource/config.js
+++ b/unpacked/jax/output/PlainSource/config.js
@@ -7,7 +7,7 @@
  *
  *  ---------------------------------------------------------------------
  *
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -24,7 +24,7 @@
 
 MathJax.OutputJax.PlainSource = MathJax.OutputJax({
   id: "PlainSource",
-  version: "2.7.6",
+  version: "2.7.9",
   directory: MathJax.OutputJax.directory + "/PlainSource",
   extensionDir: MathJax.OutputJax.extensionDir + "/PlainSource",
 
diff --git a/unpacked/jax/output/PlainSource/jax.js b/unpacked/jax/output/PlainSource/jax.js
index 3c50a1270e..542ed1ef15 100644
--- a/unpacked/jax/output/PlainSource/jax.js
+++ b/unpacked/jax/output/PlainSource/jax.js
@@ -7,7 +7,7 @@
  *
  *  ---------------------------------------------------------------------
  *
- *  Copyright (c) 2015-2019 The MathJax Consortium
+ *  Copyright (c) 2015-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/PreviewHTML/config.js b/unpacked/jax/output/PreviewHTML/config.js
index c0cde764bc..04d96eaf65 100644
--- a/unpacked/jax/output/PreviewHTML/config.js
+++ b/unpacked/jax/output/PreviewHTML/config.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -27,7 +27,7 @@
 
 MathJax.OutputJax.PreviewHTML = MathJax.OutputJax({
   id: "PreviewHTML",
-  version: "2.7.6",
+  version: "2.7.9",
   directory: MathJax.OutputJax.directory + "/PreviewHTML",
   extensionDir: MathJax.OutputJax.extensionDir + "/PreviewHTML",
   noFastPreview: true,  // don't do fast preview for this output jax
diff --git a/unpacked/jax/output/PreviewHTML/jax.js b/unpacked/jax/output/PreviewHTML/jax.js
index c5f5482a42..2c6c4976f2 100644
--- a/unpacked/jax/output/PreviewHTML/jax.js
+++ b/unpacked/jax/output/PreviewHTML/jax.js
@@ -11,7 +11,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/autoload/annotation-xml.js b/unpacked/jax/output/SVG/autoload/annotation-xml.js
index 100b30c7f3..849644db10 100644
--- a/unpacked/jax/output/SVG/autoload/annotation-xml.js
+++ b/unpacked/jax/output/SVG/autoload/annotation-xml.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       SVG = MathJax.OutputJax.SVG;
   var BBOX = SVG.BBOX;
diff --git a/unpacked/jax/output/SVG/autoload/maction.js b/unpacked/jax/output/SVG/autoload/maction.js
index d7c13a06b0..e71cfa81a6 100644
--- a/unpacked/jax/output/SVG/autoload/maction.js
+++ b/unpacked/jax/output/SVG/autoload/maction.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       SVG = MathJax.OutputJax["SVG"];
   
diff --git a/unpacked/jax/output/SVG/autoload/menclose.js b/unpacked/jax/output/SVG/autoload/menclose.js
index 97d015c09d..cf94906a80 100644
--- a/unpacked/jax/output/SVG/autoload/menclose.js
+++ b/unpacked/jax/output/SVG/autoload/menclose.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       SVG = MathJax.OutputJax.SVG,
       BBOX = SVG.BBOX;
diff --git a/unpacked/jax/output/SVG/autoload/mglyph.js b/unpacked/jax/output/SVG/autoload/mglyph.js
index 14295868c3..8230fe0124 100644
--- a/unpacked/jax/output/SVG/autoload/mglyph.js
+++ b/unpacked/jax/output/SVG/autoload/mglyph.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       SVG = MathJax.OutputJax.SVG,
       BBOX = SVG.BBOX,
@@ -35,13 +35,13 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
 
   BBOX.MGLYPH = BBOX.Subclass({
     type: "image", removeable: false,
-    Init: function (img,w,h,align,mu,def) {
+    Init: function (img,w,h,align,mu,scale,def) {
       if (def == null) {def = {}}
       var W = img.width*1000/SVG.em, H = img.height*1000/SVG.em;
       var WW = W, HH = H, y = 0;
-      if (w !== "") {W = SVG.length2em(w,mu,WW); H = (WW ? W/WW * HH : 0)}
-      if (h !== "") {H = SVG.length2em(h,mu,HH); if (w === "") {W = (HH ? H/HH * WW : 0)}}
-      if (align !== "" && align.match(/\d/)) {y = SVG.length2em(align,mu); def.y = -y}
+      if (w !== "") {W = SVG.length2em(w,mu,WW) * scale; H = (WW ? W/WW * HH : 0)}
+      if (h !== "") {H = SVG.length2em(h,mu,HH) * scale; if (w === "") {W = (HH ? H/HH * WW : 0)}}
+      if (align !== "" && align.match(/\d/)) {y = SVG.length2em(align,mu) * scale; def.y = -y}
       def.height = Math.floor(H); def.width = Math.floor(W);
       def.transform = "translate(0,"+H+") matrix(1 0 0 -1 0 0)";
       def.preserveAspectRatio = "none";
@@ -81,7 +81,8 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
           this.Append(err); svg = err.toSVG(); this.data.pop();
         } else {
           var mu = this.SVGgetMu(svg);
-          svg.Add(BBOX.MGLYPH(this.img.img,values.width,values.height,values.valign,mu,
+          var SCALE = this.SVGgetScale();
+          svg.Add(BBOX.MGLYPH(this.img.img,values.width,values.height,values.valign,mu,SCALE,
                               {'aria-label':values.alt}));
         }
       }
diff --git a/unpacked/jax/output/SVG/autoload/mmultiscripts.js b/unpacked/jax/output/SVG/autoload/mmultiscripts.js
index ccfaa7bc57..3d6e6892f3 100644
--- a/unpacked/jax/output/SVG/autoload/mmultiscripts.js
+++ b/unpacked/jax/output/SVG/autoload/mmultiscripts.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       SVG = MathJax.OutputJax.SVG;
   
diff --git a/unpacked/jax/output/SVG/autoload/ms.js b/unpacked/jax/output/SVG/autoload/ms.js
index 2f6b09aafb..10c214c18c 100644
--- a/unpacked/jax/output/SVG/autoload/ms.js
+++ b/unpacked/jax/output/SVG/autoload/ms.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       SVG = MathJax.OutputJax.SVG;
   
diff --git a/unpacked/jax/output/SVG/autoload/mtable.js b/unpacked/jax/output/SVG/autoload/mtable.js
index 4f2e0834d5..8a531a7041 100644
--- a/unpacked/jax/output/SVG/autoload/mtable.js
+++ b/unpacked/jax/output/SVG/autoload/mtable.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       SVG = MathJax.OutputJax.SVG,
       BBOX = SVG.BBOX;
diff --git a/unpacked/jax/output/SVG/autoload/multiline.js b/unpacked/jax/output/SVG/autoload/multiline.js
index 50035c9d96..70fafe259f 100644
--- a/unpacked/jax/output/SVG/autoload/multiline.js
+++ b/unpacked/jax/output/SVG/autoload/multiline.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   var MML = MathJax.ElementJax.mml,
       SVG = MathJax.OutputJax.SVG,
       BBOX = SVG.BBOX;
@@ -94,7 +94,7 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
       //    in the top-level math element
       //
       svg = this.SVG();
-      if (isTop && parent.type !== "mtd") {
+      if (parent.type === "math") {
         if (SVG.linebreakWidth < SVG.BIGDIMEN) {svg.w = SVG.linebreakWidth}
           else {svg.w = SVG.cwidth}
       }
@@ -488,8 +488,9 @@ MathJax.Hub.Register.StartupHook("SVG Jax Ready",function () {
       //
       if (end.length === 0) {
         var sup = this.data[this.sup], sub = this.data[this.sub], w = svg.w, data;
-        if (sup) {data = sup.SVGdata||{}; svg.Add(sup.toSVG(),w+(data.dx||0),data.dy)}
-        if (sub) {data = sub.SVGdata||{}; svg.Add(sub.toSVG(),w+(data.dx||0),data.dy)}
+        var ic = (this.data[this.base].SVGdata || {}).ic || 0;
+        if (sup) {data = sup.SVGdata||{}; svg.Add(sup.toSVG(),w+(data.dx||0)-ic,data.dy)}
+        if (sub) {data = sub.SVGdata||{}; svg.Add(sub.toSVG(),w+(data.dx||0)-ic,data.dy)}
       }
     }
 
diff --git a/unpacked/jax/output/SVG/config.js b/unpacked/jax/output/SVG/config.js
index c025daf89b..ff69dc3416 100644
--- a/unpacked/jax/output/SVG/config.js
+++ b/unpacked/jax/output/SVG/config.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -27,7 +27,7 @@
 
 MathJax.OutputJax.SVG = MathJax.OutputJax({
   id: "SVG",
-  version: "2.7.6",
+  version: "2.7.9",
   directory: MathJax.OutputJax.directory + "/SVG",
   extensionDir: MathJax.OutputJax.extensionDir + "/SVG",
   autoloadDir: MathJax.OutputJax.directory + "/SVG/autoload",
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js
index e4ead67c32..b70eb41b26 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Alphabets/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js
index 7ec45f8b71..c0564f773c 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Arrows/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js
index 6d0c5aa6ed..7ca054db58 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/DoubleStruck/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js
index ddc8125690..ef802e7945 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Fraktur/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js
index 2197af1cd9..9a573892b0 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Latin/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js
index c9571219c0..a00f497366 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Main/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js
index 6cbf9968a4..7acec198ae 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Marks/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js
index db91763aba..9f7ee5b3e8 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Misc/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js
index ed64e31224..06f309cdcd 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Monospace/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js
index 409e639b7d..e7c1629d62 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/NonUnicode/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js
index ff7270971e..dea2e0115c 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Normal/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js
index 19e9a19def..a97511f620 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Operators/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js
index 5538439786..2f7e2d0d0c 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/SansSerif/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js
index ef939f02d8..cdce72bad3 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Script/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js
index bf474a67a7..f5be6d1379 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Shapes/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js
index a10248e6d0..b0d1af7049 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Size1/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js
index 978f834b5d..6b284bb761 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Size2/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js
index a232d79601..4bb88e2292 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Size3/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js
index 9675077e0a..d0861af232 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Size4/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js
index 149fa7018f..e80c0fc347 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Size5/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js
index a8c51acaef..8b35a21e2c 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Size6/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js
index 2c3a957735..6e0a316f59 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Symbols/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js
index d18f30085c..a9c845018b 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Asana-Math/Variants/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js
index b913e7f4dd..ba0aa5e57c 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata-extra.js
@@ -4,7 +4,7 @@
  *  
  *  Adds extra stretchy characters to the Asana-Math fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,7 +20,7 @@
  */
 
 (function (SVG) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var DELIMITERS = SVG.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata.js b/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata.js
index e5ff7d8436..f819ab3266 100644
--- a/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata.js
+++ b/unpacked/jax/output/SVG/fonts/Asana-Math/fontdata.js
@@ -4,7 +4,7 @@
  *  
  *  Initializes the SVG OutputJax to use the Asana-Math fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 
 (function (SVG,MML,AJAX,HUB) {
 
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var ALPHABETS = "AsanaMathJax_Alphabets",
       ARROWS = "AsanaMathJax_Arrows",
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
index ef11179970..373c95f7c3 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Alphabets/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js
index 2fd73a7bf8..a7f3843342 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Arrows/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
index 7c5a3f6e0c..920bc06af8 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/DoubleStruck/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
index d95c483428..4fba5829bd 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Fraktur/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js
index 767e487793..b9974d2159 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Latin/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js
index f8a9791e13..9bac19282a 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Main/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js
index 7658c0afe7..d20657248a 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Marks/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js
index 60c313e668..4f2a741f21 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Misc/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js
index 825fa2fdec..e0b6fb295c 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Monospace/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
index 5b8fcc1d08..aff6f53ea3 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/NonUnicode/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js
index 38f01744a7..1dd35ebe9f 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Normal/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js
index 01a4f6c24a..2c3d3ed260 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Operators/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
index aa900d321e..9d9a7b01d1 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/SansSerif/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js
index 0d4119d9a6..1e70cf326d 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Script/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js
index a78a79c72a..df2545ba29 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Shapes/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js
index 00eddb91ec..b9cd22660d 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size1/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js
index 02adbe0968..a6460e5f70 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size2/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js
index e1e849c248..eece722dbe 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size3/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js
index 9a27c29352..7abc5dcf41 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size4/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js
index 51c675474e..92437e0178 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size5/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js
index a43d9d6828..021ecb243a 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Size6/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js
index a2f248c336..73494edce6 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Symbols/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js
index c31d73aa33..52c988404b 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Pagella/Variants/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js
index 0d21528b67..8ed50f499f 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata-extra.js
@@ -4,7 +4,7 @@
  *  
  *  Adds extra stretchy characters to the Gyre-Pagella fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,7 +20,7 @@
  */
 
 (function (SVG) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var DELIMITERS = SVG.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js
index 35818eba7e..6f077ce99d 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Pagella/fontdata.js
@@ -4,7 +4,7 @@
  *  
  *  Initializes the SVG OutputJax to use the Gyre-Pagella fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 
 (function (SVG,MML,AJAX,HUB) {
 
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var ALPHABETS = "GyrePagellaMathJax_Alphabets",
       ARROWS = "GyrePagellaMathJax_Arrows",
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js
index fa2796140a..159eec2b1d 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Alphabets/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js
index 245fcf8fd8..a41aaf3397 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Arrows/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
index 29ec605c61..49813a7421 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/DoubleStruck/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js
index 0b2ca76d42..ded5ee09cd 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Fraktur/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js
index 67548f1bc6..ab46962ba6 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Latin/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js
index 9989782011..7907a17a76 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Main/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js
index 02a0792d7d..7e863fdc56 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Marks/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js
index 883d7b8e19..fd2c9ba3e5 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Misc/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js
index c6ac026183..76802566a0 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Monospace/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
index ed2c7d80a0..418fd0c8db 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/NonUnicode/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js
index 8e407394ce..6ae619ec2f 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Normal/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js
index e531777488..c804ff578a 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Operators/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js
index 108a8a2080..a51f0e2f96 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/SansSerif/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js
index 4a97fd912c..9f46a9d37a 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Script/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js
index 95cb247bad..50b9587aa4 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Shapes/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js
index 047148b4bd..45d71ee010 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Size1/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js
index ee1cfd0171..487babc1a5 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Size2/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js
index d28f41c072..73fee3ebd7 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Size3/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js
index c7e9634823..475622ec5d 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Size4/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js
index 309c5b36b6..ebcd2ca407 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Size5/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js
index a4b23494d0..74e39feb87 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Size6/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js
index 36a9837d35..72b4366053 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Symbols/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js
index 7d0eaa86ba..fee314bc19 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Gyre-Termes/Variants/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js
index 1cd1049f88..ef3ddddef5 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata-extra.js
@@ -4,7 +4,7 @@
  *  
  *  Adds extra stretchy characters to the Gyre-Termes fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,7 +20,7 @@
  */
 
 (function (SVG) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var DELIMITERS = SVG.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata.js b/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata.js
index e2f4e33f34..4a402cf018 100644
--- a/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata.js
+++ b/unpacked/jax/output/SVG/fonts/Gyre-Termes/fontdata.js
@@ -4,7 +4,7 @@
  *  
  *  Initializes the SVG OutputJax to use the Gyre-Termes fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 
 (function (SVG,MML,AJAX,HUB) {
 
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var ALPHABETS = "GyreTermesMathJax_Alphabets",
       ARROWS = "GyreTermesMathJax_Arrows",
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js
index e982186085..42b35418f9 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Alphabets/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js
index 0bb386e8d4..81dbe91934 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Arrows/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
index 7c8059611a..816ce12337 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/DoubleStruck/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js
index 88060e2b02..fd084fe34a 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Fraktur/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js
index 43c6395123..420a608ba7 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Latin/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js
index 8a82b0fdf7..f6e30135a4 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Main/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js
index 8db95219b3..3fa85f76dc 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Marks/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js
index ec6def13d3..71b7292613 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Misc/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js
index 3780ca1a3d..f08aacdd6a 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Monospace/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js
index 5850f1982b..5a6b42c239 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/NonUnicode/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js
index b1779bfab1..0a836d4ca0 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Normal/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js
index cab73dca62..29f59428ed 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Operators/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js
index 7ccfbc054d..d6bca62f78 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/SansSerif/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js
index a1e4fdb350..7fae54cc16 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Script/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js
index 421ee8e088..473ea007f9 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Shapes/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js
index 8668cb6915..7f70d47afd 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Size1/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js
index 31420c2a39..e6978ecc20 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Size2/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js
index cde263d8aa..d116a756bc 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Size3/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js
index e7e2dec562..a4c088d23a 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Size4/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js
index e4117801e4..90ef3c9c35 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Size5/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js
index 2b30a36a83..c9a490be50 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Size6/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js
index d84c28a4d5..6fcac401c3 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Size7/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js
index 74d3957321..6c918efcd8 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Symbols/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js
index a4aeaec3d3..360dacbcdc 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Latin-Modern/Variants/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js
index 6cb3b19457..d69297eed0 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata-extra.js
@@ -4,7 +4,7 @@
  *  
  *  Adds extra stretchy characters to the Latin-Modern fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,7 +20,7 @@
  */
 
 (function (SVG) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var DELIMITERS = SVG.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata.js b/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata.js
index ef4fb67c44..d0e4fb4cdd 100644
--- a/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata.js
+++ b/unpacked/jax/output/SVG/fonts/Latin-Modern/fontdata.js
@@ -4,7 +4,7 @@
  *  
  *  Initializes the SVG OutputJax to use the Latin-Modern fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 
 (function (SVG,MML,AJAX,HUB) {
 
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var ALPHABETS = "LatinModernMathJax_Alphabets",
       ARROWS = "LatinModernMathJax_Arrows",
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js
index 5470ea1af0..fd58f81825 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Alphabets/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js
index 4601399a5f..4e4afcc5c0 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Arrows/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js
index 606432259c..8d9a4bd9f8 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Fraktur/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js
index 70b233e784..9ce10e3784 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Main/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js
index ed0f5740ed..234f1f18f2 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Marks/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js
index 11b00cf6e5..27402d0c9f 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/NonUnicode/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js
index 0d307d8c83..21f42ff279 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Normal/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js
index f9c056ded4..9fe4900fe9 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Operators/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js
index 4593758bfc..95b919d8ba 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Script/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js
index 8a584394ab..25977ff451 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Shapes/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js
index dad0d9d7ef..efb260ff11 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Size1/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js
index e65c53367e..1d79421207 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Size2/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js
index ee87c94c52..626ecbd068 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Size3/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js
index 373b85a7e6..62129a42c6 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Size4/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js
index 5da2860bbd..37828a04be 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Size5/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js
index 035a9d1efe..2eb06a6934 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Symbols/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js
index b697cf693e..88785f717c 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/Neo-Euler/Variants/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js
index f01ce91553..7259ff28e7 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata-extra.js
@@ -4,7 +4,7 @@
  *  
  *  Adds extra stretchy characters to the Neo-Euler fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,7 +20,7 @@
  */
 
 (function (SVG) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var DELIMITERS = SVG.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata.js b/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata.js
index 49b815f804..c9ef5df4fb 100644
--- a/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata.js
+++ b/unpacked/jax/output/SVG/fonts/Neo-Euler/fontdata.js
@@ -4,7 +4,7 @@
  *  
  *  Initializes the SVG OutputJax to use the Neo-Euler fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 
 (function (SVG,MML,AJAX,HUB) {
 
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var ALPHABETS = "NeoEulerMathJax_Alphabets",
       ARROWS = "NeoEulerMathJax_Arrows",
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js
index 9fa00a5ae1..85e4cc2d39 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Alphabets/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
index 009bb57916..51cc15a9f9 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Alphabets/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js
index 4bd96e6188..6ac3082c1b 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Alphabets/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js
index 3c978ad454..1513223faf 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Alphabets/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js
index 46bb55893f..5d07f1b22c 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Arrows/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js
index 4970bce61b..975e44dd91 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Arrows/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js
index 49f5f9e1b0..c35b06a8a1 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
index 079fa16bb8..19758cf129 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/DoubleStruck/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js
index 9452f35741..00a1f46941 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js
index 9824560c95..35d91cd3fd 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/DoubleStruck/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js
index 3a3b768a9d..d819c19a40 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Fraktur/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js
index c826b60212..4c56285189 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Fraktur/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js
index 3cb3f28f40..9d9f4fc5b1 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Latin/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js
index 807669bb91..0335e41529 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Latin/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js
index f7d25d3396..1fc42cfe7b 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Latin/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js
index 9f0c71a723..7c33c59c26 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Latin/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js
index dabb77385a..57e6777969 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Main/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js
index 671fb99653..ea697b1e95 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Main/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js
index c63a0db384..d5a0e27212 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Main/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js
index 0a98460de8..eb1e277527 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Main/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js
index 8b76dd0025..3809b693de 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Marks/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js
index e950b900da..eb816ed268 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Marks/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js
index 0febd7a0ee..9c6117291c 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Marks/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js
index 3bac5012c7..3052068f3e 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Marks/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js
index eae0f81f77..2219c9ec65 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Misc/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js
index 46e91fa98a..dec2b88130 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Misc/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js
index ac053c1514..fb6aae5fa9 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Misc/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js
index c1a2203077..e619925c2e 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Misc/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js
index 32fe17660e..1fcc196ee1 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Monospace/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js
index e54a138ca0..14266303ca 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Normal/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js
index ca0fd8635c..63ddc5752b 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Normal/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -23,6 +23,108 @@ MathJax.OutputJax['SVG'].FONTDATA.FONTS['STIXMathJax_Normal-bold-italic'] = {
   weight: 'bold',
   style: 'italic',
   id: 'STIXWEBNORMALBI',
+  skew: {
+    0x1D468: .16,
+    0x1D469: .14,
+    0x1D46A: .12,
+    0x1D46B: .1,
+    0x1D46C: .1,
+    0x1D46D: .1,
+    0x1D46E: .12,
+    0x1D46F: .1,
+    0x1D470: .1,
+    0x1D471: .1,
+    0x1D472: .1,
+    0x1D473: .05,
+    0x1D474: .08,
+    0x1D475: .08,
+    0x1D476: .12,
+    0x1D477: .05,
+    0x1D478: .12,
+    0x1D479: .1,
+    0x1D47A: .12,
+    0x1D47D: -.05,
+    0x1D47E: -.09,
+    0x1D47F: .12,
+    0x1D480: -.05,
+    0x1D481: .1,
+    0x1D482: .09,
+    0x1D483: .03,
+    0x1D484: .09,
+    0x1D485: .22,
+    0x1D486: .09,
+    0x1D487: .19,
+    0x1D488: .08,
+    0x1D48A: .1,
+    0x1D48B: .16,
+    0x1D48D: .09,
+    0x1D48E: .09,
+    0x1D48F: .05,
+    0x1D490: .09,
+    0x1D491: .09,
+    0x1D492: .1,
+    0x1D493: .07,
+    0x1D494: .07,
+    0x1D495: .09,
+    0x1D496: .05,
+    0x1D497: .08,
+    0x1D498: .1,
+    0x1D499: .05,
+    0x1D49A: .1,
+    0x1D49B: .07,
+    0x1D71C: .16,
+    0x1D71D: .14,
+    0x1D71E: .09,
+    0x1D71F: .16,
+    0x1D720: .14,
+    0x1D721: .14,
+    0x1D722: .1,
+    0x1D723: .12,
+    0x1D724: .1,
+    0x1D725: .12,
+    0x1D726: .16,
+    0x1D727: .11,
+    0x1D728: .1,
+    0x1D729: .14,
+    0x1D72A: .14,
+    0x1D72B: .12,
+    0x1D72C: .08,
+    0x1D72D: .14,
+    0x1D72E: .14,
+    0x1D731: .12,
+    0x1D732: .14,
+    0x1D734: .16,
+    0x1D735: .05,
+    0x1D736: .05,
+    0x1D737: .1,
+    0x1D738: .05,
+    0x1D739: .12,
+    0x1D73A: .07,
+    0x1D73B: .09,
+    0x1D73C: .07,
+    0x1D73D: .1,
+    0x1D73E: .05,
+    0x1D740: .07,
+    0x1D741: .1,
+    0x1D742: .07,
+    0x1D743: .12,
+    0x1D744: .08,
+    0x1D745: .08,
+    0x1D746: .1,
+    0x1D747: .1,
+    0x1D748: .05,
+    0X1D749: .05,
+    0x1D74A: .05,
+    0x1D74B: .05,
+    0x1D74C: .09,
+    0x1D74E: .05,
+    0x1D750: .1,
+    0x1D751: .1,
+    0X1D752: .05,
+    0X1D753: .12,
+    0x1D754: .1,
+    0x1D755: .09,
+  },
   0x20: [0,0,250,0,0,''],
   0xA0: [0,0,250,0,0,''],
   0x1D468: [685,0,759,39,724,'724 23l-2 -23h-319l4 23h31c33 0 51 17 51 45c0 10 -1 28 -2 34l-15 108h-159l-80 -139c-2 -4 -6 -13 -6 -22c0 -19 9 -26 22 -26h56l-6 -23h-260l4 23c45 5 74 17 108 75l346 587h49l94 -624c4 -24 20 -38 47 -38h37zM466 256l-23 178l-103 -178h126'],
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js
index db6257cd75..b6d89d6409 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Normal/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -22,6 +22,105 @@ MathJax.OutputJax['SVG'].FONTDATA.FONTS['STIXMathJax_Normal-italic'] = {
   family: 'STIXMathJax_Normal',
   style: 'italic',
   id: 'STIXWEBNORMALI',
+  skew: {
+    0x1D434: .16,
+    0x1D435: .14,
+    0x1D436: .12,
+    0x1D437: .1,
+    0x1D438: .1,
+    0x1D439: .1,
+    0x1D43A: .12,
+    0x1D43B: .1,
+    0x1D43C: .1,
+    0x1D43D: .1,
+    0x1D43E: .1,
+    0x1D43F: .05,
+    0x1D440: .08,
+    0x1D441: .08,
+    0x1D442: .12,
+    0x1D443: .05,
+    0x1D444: .12,
+    0x1D445: .1,
+    0x1D446: .12,
+    0x1D44B: .12,
+    0x1D44C: -.05,
+    0x1D44D: .1,
+    0x1D44E: .09,
+    0x1D44F: .03,
+    0x1D450: .09,
+    0x1D451: .2,
+    0x1D452: .09,
+    0x1D453: .19,
+    0x1D454: .08,
+    0x1D456: .08,
+    0x1D457: .16,
+    0x1D459: .09,
+    0x1D45A: .09,
+    0x1D45B: .05,
+    0x1D45C: .09,
+    0x1D45D: .09,
+    0x1D45E: .1,
+    0x1D45F: .07,
+    0x1D460: .07,
+    0x1D461: .07,
+    0x1D462: .05,
+    0x1D463: .08,
+    0x1D464: .1,
+    0x1D465: .05,
+    0x1D466: .1,
+    0x1D467: .07,
+    0x1D6A4: .05,
+    0x1D6A5: .07,
+    0x1D6E2: .16,
+    0x1D6E3: .14,
+    0x1D6E4: .09,
+    0x1D6E5: .16,
+    0x1D6E6: .14,
+    0x1D6E7: .14,
+    0x1D6E8: .1,
+    0x1D6E9: .12,
+    0x1D6EA: .1,
+    0x1D6EB: .12,
+    0x1D6EC: .16,
+    0x1D6ED: .12,
+    0x1D6EE: .1,
+    0x1D6EF: .14,
+    0x1D6F0: .14,
+    0x1D6F1: .12,
+    0x1D6F2: .08,
+    0x1D6F3: .14,
+    0x1D6F4: .14,
+    0x1D6F7: .12,
+    0x1D6F8: .14,
+    0x1D6FA: .16,
+    0x1D6FB: .05,
+    0x1D6FC: .05,
+    0x1D6FD: .1,
+    0x1D6FE: .05,
+    0x1D6FF: .12,
+    0x1D700: .07,
+    0x1D701: .07,
+    0x1D702: .05,
+    0x1D703: .09,
+    0x1D704: .05,
+    0x1D706: .07,
+    0x1D707: .1,
+    0x1D708: .07,
+    0x1D709: .12,
+    0x1D70A: .08,
+    0x1D70B: .08,
+    0x1D70C: .1,
+    0x1D70D: .1,
+    0x1D70E: .05,
+    0x1D710: .05,
+    0x1D711: .05,
+    0x1D712: .09,
+    0x1D714: .05,
+    0x1D716: .1,
+    0x1D717: .1,
+    0x1D71A: .1,
+    0x1D71B: .07,
+  },
   0x20: [0,0,250,0,0,''],
   0xA0: [0,0,250,0,0,''],
   0x210E: [668,11,513,45,483,'469 106l14 -11c-29 -34 -78 -106 -133 -106c-18 0 -41 10 -41 42c0 12 1 26 64 267c2 7 7 29 7 44c0 19 -7 35 -24 35c-36 0 -102 -85 -134 -133c-34 -51 -62 -102 -67 -122l-32 -122h-78l152 600c1 4 2 7 2 10c0 13 -10 22 -31 22c-10 0 -21 -1 -29 -2l-2 14l159 24 l-109 -416h4c53 58 125 189 216 189c42 0 57 -34 57 -70c0 -22 -6 -43 -11 -64l-58 -230c-1 -5 -2 -7 -2 -10c0 -6 3 -14 13 -14c22 0 49 35 63 53'],
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js
index ce4f6541f1..1e97ee4e68 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Operators/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js
index 0d7f4a6375..9f89e387d6 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Operators/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js
index db67b2395c..80cea98006 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/SansSerif/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
index c402d0ddc6..29bc643652 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/SansSerif/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js
index 7ce6ee94f0..f02e7ac556 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/SansSerif/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js
index 6dee710e14..4b08e8ebd5 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/SansSerif/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js
index 2416d13c56..9971e54513 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Script/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js
index 9841c8d64a..529ac590ac 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Script/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js
index 115fb680e9..c73c49fee2 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Script/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js
index e5c697915a..ab3c9cdc41 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Shapes/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js
index ad06d25ba5..aa3a162e23 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Shapes/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js
index 27b9ec11d2..ae78fe895d 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Shapes/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js
index e6d1bf6a86..82e6c0479c 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Size1/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js
index 0ce841e714..581fa80810 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Size2/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js
index e785b7aa9e..20621009ec 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Size3/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js
index ce5f9006a3..55aece000f 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Size4/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js
index 34318d9140..fe5f62aac9 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Size5/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js
index 3856c956a1..0608f35c77 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Symbols/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js
index adf01b05c1..38b9a68235 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Symbols/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js
index 9714993c22..62331c916e 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Variants/Bold/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js
index 97ddf0dab5..90811f4d9a 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Variants/BoldItalic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js
index 9e926cc3a3..4fb937065f 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Variants/Italic/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js
index c92c9ef1be..9528a6e1ce 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/STIX-Web/Variants/Regular/Main.js
  *  
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js
index afb8fcf0ff..7b9b7b73a9 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata-extra.js
@@ -4,7 +4,7 @@
  *  
  *  Adds extra stretchy characters to the STIX-Web fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,7 +20,7 @@
  */
 
 (function (SVG) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var DELIMITERS = SVG.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata.js b/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata.js
index 6ee0c9b2b6..709ac00cf2 100644
--- a/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata.js
+++ b/unpacked/jax/output/SVG/fonts/STIX-Web/fontdata.js
@@ -4,7 +4,7 @@
  *  
  *  Initializes the SVG OutputJax to use the STIX-Web fonts
 
- *  Copyright (c) 2013-2019 The MathJax Consortium
+ *  Copyright (c) 2013-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -21,7 +21,7 @@
 
 (function (SVG,MML,AJAX,HUB) {
 
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
 
   var ALPHABETSBOLDITALIC = "STIXMathJax_Alphabets-bold-italic",
       ALPHABETSBOLD = "STIXMathJax_Alphabets-bold",
@@ -169,7 +169,7 @@
           },
           "bold-italic": {
             fonts: [MAINBOLDITALIC,NORMALBOLDITALIC,SCRIPTBOLDITALIC,DOUBLESTRUCKBOLDITALIC,SANSSERIFBOLDITALIC,LATINBOLDITALIC,ALPHABETSBOLDITALIC,MARKSBOLDITALIC,SHAPESBOLDITALIC,MISCBOLDITALIC,VARIANTSBOLDITALIC,SIZE1],
-            offsetA: 0x1D434,
+            offsetA: 0x1D468,
             offsetG: 0x1D71C,
             remap: {0x1D455: 0x210E, 0x2202: 0x1D74F, 0x2207: 0x1D735},
             bold: true, italic: true
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js
index 6e4d8b82bc..02648da379 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Arrows.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/Arrows.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js
index 5f451d3254..63bcd48c47 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/BoxDrawing.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/BoxDrawing.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js
index e1bb78c0cd..96c15c57d5 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js
index 3959c07561..de76393d37 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Dingbats.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/Dingbats.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
index c3d0d3695d..6d39ce6787 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/EnclosedAlphanum.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/EnclosedAlphanum.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js
index 6d716886fc..0521fcb1a3 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/GeneralPunctuation.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js
index 133d31b88d..e9843391bd 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GeometricShapes.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/GeometricShapes.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js
index 2ade363c58..ec6484c509 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/GreekAndCoptic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/GreekAndCoptic.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js
index 378c056456..66216b93af 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/Latin1Supplement.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js
index cdd85a0ea1..565dba2e3e 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LatinExtendedA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/LatinExtendedA.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
index 012c3afb6d..d90e58dd82 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/LetterlikeSymbols.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js
index 6dc6e3dd03..1f4ec34ed0 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js
index bc16bd2239..3fdb197158 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/MathOperators.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
index 2422b7cbdc..ca946cfb4d 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscMathSymbolsB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/MiscMathSymbolsB.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js
index fff718d2fb..03b16cf2a8 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/MiscSymbols.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js
index c7a122c2a6..4149740ff3 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/MiscTechnical.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/MiscTechnical.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js
index fa429231c7..4a8567189a 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/PUA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/PUA.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js
index f1aaddd8fa..d4fb0a406e 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/SpacingModLetters.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js
index 4aa7a09dda..75a43b54e5 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/AMS/Regular/SuppMathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/AMS/Regular/SuppMathOperators.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js
index b396ab3b69..f6cab20ac3 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Caligraphic/Bold/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js
index 1248ec78a6..33925784bb 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Caligraphic/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Caligraphic/Regular/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js
index 0a2058f357..218f0d766b 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Bold/BasicLatin.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js
index 741d620abf..fb4511de6b 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Bold/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js
index 5eede41218..54ec6cb943 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Bold/Other.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js
index 2b6cfad715..70b3360cf9 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Bold/PUA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Bold/PUA.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js
index 8ed7a244f4..9d440d5790 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Regular/BasicLatin.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js
index 7c7148f065..ba069ccf15 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Regular/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js
index 03a514a1d4..2f0baac8b8 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Regular/Other.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js
index 930cefdb31..1bce18e0ee 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Fraktur/Regular/PUA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Fraktur/Regular/PUA.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js
index ec4d963075..1388b69c34 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Arrows.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/Arrows.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js
index 5723f8faea..a027fff531 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/BasicLatin.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js
index 9f248733d7..e7df2068b6 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/CombDiacritMarks.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js
index 4ec511d9c5..f2afcbd654 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/CombDiactForSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/CombDiactForSymbols.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js
index 45a4871c83..f2d8feda56 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/GeneralPunctuation.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js
index f28764735f..7278aad5f3 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GeometricShapes.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/GeometricShapes.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js
index df850ab557..515196d9c5 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/GreekAndCoptic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/GreekAndCoptic.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js
index 53c775169f..bcdd375ff1 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Latin1Supplement.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/Latin1Supplement.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js
index 75ad48fca2..3086723a7b 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/LatinExtendedA.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js
index cff181ae9e..ca3ef9414c 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LatinExtendedB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/LatinExtendedB.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js
index bc06a7e71d..3e7a0c3b14 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/LetterlikeSymbols.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Main.js
index bc80b8dcb4..aef14b0a85 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js
index a10defd013..8c1696021f 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/MathOperators.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
index e289d996be..7c5c884666 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscMathSymbolsA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/MiscMathSymbolsA.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js
index f9e118ff8e..c7f37eb4e3 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/MiscSymbols.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js
index 8322499986..20d50ee3df 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/MiscTechnical.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/MiscTechnical.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js
index 48fe268e15..a84c003177 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/SpacingModLetters.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js
index b68a976524..c3e310dff5 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SuppMathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/SuppMathOperators.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js
index 108ea22e29..83f88b7bc1 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Bold/SupplementalArrowsA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Bold/SupplementalArrowsA.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js
index 0f5c6fef0a..a237588148 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/BasicLatin.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js
index 7bcb749456..b9d7c3e102 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/CombDiacritMarks.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js
index 8307fa6231..d4275ef7d3 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GeneralPunctuation.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/GeneralPunctuation.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js
index c6e6b22412..a83d02424c 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/GreekAndCoptic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/GreekAndCoptic.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js
index 9ed229105b..313f3f8899 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/LatinExtendedA.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js
index b5b0343f89..dd16fa622c 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LatinExtendedB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/LatinExtendedB.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js
index ca4f1d400e..e0ed6b2f71 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/LetterlikeSymbols.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/Main.js
index c3aab921e5..1e5f02d683 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Italic/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js
index ce0eb8ae7c..1c0c98bf0e 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/BasicLatin.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js
index 4b72629946..87b64370a1 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js
index af9547bdbc..d3979d7e07 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GeometricShapes.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/GeometricShapes.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js
index 775f925300..7c342a116a 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/GreekAndCoptic.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/GreekAndCoptic.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js
index 53f581fe5f..9a54db1af9 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedA.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/LatinExtendedA.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js
index 3006316b2e..cd780f54a0 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LatinExtendedB.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/LatinExtendedB.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js
index 4d7521846d..25394309dc 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/LetterlikeSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/LetterlikeSymbols.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/Main.js
index cdf829a293..cb887f0fdf 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js
index 440a0b824a..af196899d2 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/MiscSymbols.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/MiscSymbols.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js
index c3c83e5d23..63dbfa6dd9 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SpacingModLetters.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/SpacingModLetters.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js
index e1c14293f2..d1702ca64b 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Main/Regular/SuppMathOperators.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Main/Regular/SuppMathOperators.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js
index c0539e872a..33872abc75 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Math/BoldItalic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Math/BoldItalic/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Math/Italic/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Math/Italic/Main.js
index e44ff7ed6e..93c221adf7 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Math/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Math/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Math/Italic/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js
index bbb42407be..0a5768fd24 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Bold/BasicLatin.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
index ea5811f952..82494e4e39 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Bold/CombDiacritMarks.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js
index f88adff92e..36db3feddf 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Bold/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js
index 7cfecdf727..f1b92e16d4 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Bold/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Bold/Other.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js
index ea43e72e87..7553bd5a18 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Italic/BasicLatin.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
index 168c9ce9be..a6242ce312 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Italic/CombDiacritMarks.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js
index e20efae597..c868f86bd7 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Italic/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js
index 3e573753e1..8e16246a50 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Italic/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Italic/Other.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js
index 0141359c70..8e7b9d6227 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Regular/BasicLatin.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
index 59b1a21627..2b0a1dd249 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js
index 5128fd1d93..3618de259b 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Regular/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js
index 09011608fc..fab2f7dd31 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/SansSerif/Regular/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/SansSerif/Regular/Other.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js
index 7b6648e5c3..5a496c2628 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Script/Regular/BasicLatin.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/Main.js
index d51ef26a56..fdd4e2b354 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Script/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Script/Regular/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js
index fe6096f03a..157e9671fe 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Size1/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Size1/Regular/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js
index aa634d4bee..0c90fdb45c 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Size2/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Size2/Regular/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js
index 407ad8ab05..8a0fcaef01 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Size3/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Size3/Regular/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js
index 936b7373e7..ca45939785 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Size4/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Size4/Regular/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js
index 013704c588..97795da6b4 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/BasicLatin.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Typewriter/Regular/BasicLatin.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
index e5600f47cc..dde819090a 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/CombDiacritMarks.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Typewriter/Regular/CombDiacritMarks.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js
index 0a828eeb9e..caf558f044 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Main.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Typewriter/Regular/Main.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js
index 8a3169f61e..eb446770fc 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/Typewriter/Regular/Other.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/jax/output/SVG/fonts/TeX/svg/Typewriter/Regular/Other.js
  *
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/jax/output/SVG/fonts/TeX/fontdata-extra.js b/unpacked/jax/output/SVG/fonts/TeX/fontdata-extra.js
index 1db7bf1517..92f1848331 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/fontdata-extra.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/fontdata-extra.js
@@ -9,7 +9,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -25,7 +25,7 @@
  */
 
 (function (SVG) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   var DELIMITERS = SVG.FONTDATA.DELIMITERS;
 
diff --git a/unpacked/jax/output/SVG/fonts/TeX/fontdata.js b/unpacked/jax/output/SVG/fonts/TeX/fontdata.js
index 27ac5f3803..ccb73ce740 100644
--- a/unpacked/jax/output/SVG/fonts/TeX/fontdata.js
+++ b/unpacked/jax/output/SVG/fonts/TeX/fontdata.js
@@ -10,7 +10,7 @@
  *
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -26,7 +26,7 @@
  */
 
 (function (SVG,MML,AJAX,HUB) {
-  var VERSION = "2.7.6";
+  var VERSION = "2.7.9";
   
   var MAIN   = "MathJax_Main",
       BOLD   = "MathJax_Main-bold",
diff --git a/unpacked/jax/output/SVG/jax.js b/unpacked/jax/output/SVG/jax.js
index 6b14c4886d..b68aa7663b 100644
--- a/unpacked/jax/output/SVG/jax.js
+++ b/unpacked/jax/output/SVG/jax.js
@@ -11,7 +11,7 @@
  *  
  *  ---------------------------------------------------------------------
  *  
- *  Copyright (c) 2011-2019 The MathJax Consortium
+ *  Copyright (c) 2011-2020 The MathJax Consortium
  * 
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -1750,7 +1750,10 @@
 	if (this.data[0] != null) {
           this.SVGhandleSpace(svg); svg.Add(this.SVGdataStretched(0,HW,D)); svg.Clean();
           while (svg.element.firstChild) {svg.element.removeChild(svg.element.firstChild)}
-	}
+          svg.D = svg.d; svg.H = svg.h;
+          svg.r = Math.max(0, Math.min(svg.w, svg.r));
+          svg.l = Math.max(0, Math.min(svg.w, svg.l));
+        }
 	this.SVGhandleColor(svg);
         this.SVGsaveData(svg);
         if (svg.removeable && !svg.element.firstChild) {delete svg.element}
@@ -1828,23 +1831,17 @@
     });
 
     MML.mstyle.Augment({
-      toSVG: function () {
+      toSVG: function (HW,D) {
         this.SVGgetStyles();
         var svg = this.SVG();
 	if (this.data[0] != null) {
           this.SVGhandleSpace(svg);
-          var math = svg.Add(this.data[0].toSVG()); svg.Clean();
+          var math = svg.Add(this.data[0].toSVG(HW,D)); svg.Clean();
           if (math.ic) {svg.ic = math.ic}
 	  this.SVGhandleColor(svg);
 	}
         this.SVGsaveData(svg);
 	return svg;
-      },
-      SVGstretchH: function (w) {
-	return (this.data[0] != null ? this.data[0].SVGstretchH(w) : BBOX.NULL());
-      },
-      SVGstretchV: function (h,d) {
-	return (this.data[0] != null ? this.data[0].SVGstretchV(h,d) : BBOX.NULL());
       }
     });
 
diff --git a/unpacked/latest.js b/unpacked/latest.js
index eaa1f9116b..4b0863eeb6 100644
--- a/unpacked/latest.js
+++ b/unpacked/latest.js
@@ -1,6 +1,6 @@
 /*************************************************************
  *
- *  Copyright (c) 2017-2019 The MathJax Consortium
+ *  Copyright (c) 2017-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
diff --git a/unpacked/localization/ar/FontWarnings.js b/unpacked/localization/ar/FontWarnings.js
index 683bf80e11..443f576ee8 100644
--- a/unpacked/localization/ar/FontWarnings.js
+++ b/unpacked/localization/ar/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ar/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ar","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "\u0645\u0627\u062B \u062C\u0627\u0643\u0633 \u064A\u0633\u062A\u062E\u062F\u0645 \u0627\u0644\u062E\u0637\u0648\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A \u0644\u0639\u0631\u0636 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0639\u0644\u0649 \u0647\u0630\u0647 \u0627\u0644\u0635\u0641\u062D\u0629\u060C \u0647\u0630\u0647 \u062A\u0633\u062A\u063A\u0631\u0642 \u0648\u0642\u062A\u0627 \u0637\u0648\u064A\u0644\u0627 \u0644\u062A\u062D\u0645\u064A\u0644\u060C \u0648\u0628\u0627\u0644\u062A\u0627\u0644\u064A \u0641\u0625\u0646 \u0627\u0644\u0635\u0641\u062D\u0629 \u062A\u0638\u0647\u0631 \u0628\u0634\u0643\u0644 \u0623\u0633\u0631\u0639 \u0625\u0630\u0627 \u0642\u0645\u062A \u0628\u062A\u062B\u0628\u064A\u062A \u062E\u0637\u0648\u0637 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0645\u0628\u0627\u0634\u0631\u0629 \u0641\u064A \u0645\u062C\u0644\u062F \u0627\u0644\u062E\u0637 \u0641\u064A \u0646\u0638\u0627\u0645\u0643.",
diff --git a/unpacked/localization/ar/HTML-CSS.js b/unpacked/localization/ar/HTML-CSS.js
index 5bfc93b735..815b4d3f23 100644
--- a/unpacked/localization/ar/HTML-CSS.js
+++ b/unpacked/localization/ar/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ar/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ar","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u062A\u062D\u0645\u064A\u0644 \u062E\u0637 \u0639\u0644\u0649 \u0634\u0628\u0643\u0629 \u0627\u0644\u0625\u0646\u062A\u0631\u0646\u062A %1",
diff --git a/unpacked/localization/ar/HelpDialog.js b/unpacked/localization/ar/HelpDialog.js
index c899bb0497..1b1215cfeb 100644
--- a/unpacked/localization/ar/HelpDialog.js
+++ b/unpacked/localization/ar/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ar/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ar","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "\u0645\u0633\u0627\u0639\u062F\u0629 \u0645\u0627\u062B \u062C\u0627\u0643\u0633",
diff --git a/unpacked/localization/ar/MathML.js b/unpacked/localization/ar/MathML.js
index f0c53cd28f..4bc9694903 100644
--- a/unpacked/localization/ar/MathML.js
+++ b/unpacked/localization/ar/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ar/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ar","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "mglyph \u0633\u064A\u0626\u0629: %1",
diff --git a/unpacked/localization/ar/MathMenu.js b/unpacked/localization/ar/MathMenu.js
index 5b32097a02..3213bfda35 100644
--- a/unpacked/localization/ar/MathMenu.js
+++ b/unpacked/localization/ar/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ar/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ar","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u062A\u0638\u0647\u0631 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A \u0643",
diff --git a/unpacked/localization/ar/TeX.js b/unpacked/localization/ar/TeX.js
index 25e0b4596d..bbf19cd3fc 100644
--- a/unpacked/localization/ar/TeX.js
+++ b/unpacked/localization/ar/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ar/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ar","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u0642\u0648\u0633 \u0645\u0641\u062A\u0648\u062D \u0625\u0636\u0627\u0641\u064A \u0623\u0648 \u063A\u0644\u0642 \u0642\u0648\u0633 \u0645\u0641\u0642\u0648\u062F",
diff --git a/unpacked/localization/ar/ar.js b/unpacked/localization/ar/ar.js
index 47e098de92..1151a0579f 100644
--- a/unpacked/localization/ar/ar.js
+++ b/unpacked/localization/ar/ar.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ar/ar.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,11 +20,11 @@
 MathJax.Localization.addTranslation("ar",null,{
   menuTitle: "\u0627\u0644\u0639\u0631\u0628\u064A\u0629",
   fontDirection: "rtl",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "\u062E\u0637\u0623 \u0645\u0639\u0627\u0644\u062C\u0629 \u0631\u064A\u0627\u0636\u064A\u0629",
diff --git a/unpacked/localization/ast/FontWarnings.js b/unpacked/localization/ast/FontWarnings.js
index c2f340dc1b..08aeb41012 100644
--- a/unpacked/localization/ast/FontWarnings.js
+++ b/unpacked/localization/ast/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ast/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ast","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax ta usando fontes basaes en web p'amosar les matem\u00E1tiques d'esta p\u00E1xina. Lleva un tiempu descargales, de manera que la p\u00E1xina apaecer\u00E1 m\u00E1s r\u00E1pidamente si instala direutamente les fontes matem\u00E1tiques na carpeta de fontes del so sistema.",
diff --git a/unpacked/localization/ast/HTML-CSS.js b/unpacked/localization/ast/HTML-CSS.js
index 5a415980a2..761b20f212 100644
--- a/unpacked/localization/ast/HTML-CSS.js
+++ b/unpacked/localization/ast/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ast/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ast","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Cargando la tipograf\u00EDa web %1",
diff --git a/unpacked/localization/ast/HelpDialog.js b/unpacked/localization/ast/HelpDialog.js
index 067ed2c58a..8c664dc8bc 100644
--- a/unpacked/localization/ast/HelpDialog.js
+++ b/unpacked/localization/ast/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ast/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ast","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Ayuda de MathJax",
diff --git a/unpacked/localization/ast/MathML.js b/unpacked/localization/ast/MathML.js
index 6a87833d9e..466f08441e 100644
--- a/unpacked/localization/ast/MathML.js
+++ b/unpacked/localization/ast/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ast/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ast","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "Mglyph incorreutu: %1",
diff --git a/unpacked/localization/ast/MathMenu.js b/unpacked/localization/ast/MathMenu.js
index 6f5371526e..4efdbe24e0 100644
--- a/unpacked/localization/ast/MathMenu.js
+++ b/unpacked/localization/ast/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ast/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ast","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Ver les f\u00F3rmules como",
diff --git a/unpacked/localization/ast/TeX.js b/unpacked/localization/ast/TeX.js
index 0c16401c61..16f6603b8b 100644
--- a/unpacked/localization/ast/TeX.js
+++ b/unpacked/localization/ast/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ast/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ast","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Hai una llave d'apertura de m\u00E1s o falta una llave de zarramientu",
diff --git a/unpacked/localization/ast/ast.js b/unpacked/localization/ast/ast.js
index 2b1ef4b3af..5403cfb29b 100644
--- a/unpacked/localization/ast/ast.js
+++ b/unpacked/localization/ast/ast.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ast/ast.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("ast",null,{
   menuTitle: "asturianu",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax alcontr\u00F3 una cookie de configuraci\u00F3n d'usuariu qu'incluye c\u00F3digu a executar. \u00BFQuier executar esi c\u00F3digu?\n\n(Tendr\u00EDa de calcar \u00ABEncaboxar\u00BB a menos que creara la cookie vust\u00E9 mesmu.)",
diff --git a/unpacked/localization/bcc/FontWarnings.js b/unpacked/localization/bcc/FontWarnings.js
index e1955b74e2..68b47f48b4 100644
--- a/unpacked/localization/bcc/FontWarnings.js
+++ b/unpacked/localization/bcc/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bcc/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("bcc","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/bcc/HTML-CSS.js b/unpacked/localization/bcc/HTML-CSS.js
index 025e5a9d16..c91da4ff6c 100644
--- a/unpacked/localization/bcc/HTML-CSS.js
+++ b/unpacked/localization/bcc/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bcc/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("bcc","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/bcc/HelpDialog.js b/unpacked/localization/bcc/HelpDialog.js
index 273731625f..304cb1b627 100644
--- a/unpacked/localization/bcc/HelpDialog.js
+++ b/unpacked/localization/bcc/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bcc/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("bcc","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/bcc/MathML.js b/unpacked/localization/bcc/MathML.js
index b3aafc88ab..bb07264eef 100644
--- a/unpacked/localization/bcc/MathML.js
+++ b/unpacked/localization/bcc/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bcc/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("bcc","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/bcc/MathMenu.js b/unpacked/localization/bcc/MathMenu.js
index ba74d7fc7f..d346a2d932 100644
--- a/unpacked/localization/bcc/MathMenu.js
+++ b/unpacked/localization/bcc/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bcc/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("bcc","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/bcc/TeX.js b/unpacked/localization/bcc/TeX.js
index 09257f89f9..757ea7e814 100644
--- a/unpacked/localization/bcc/TeX.js
+++ b/unpacked/localization/bcc/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bcc/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("bcc","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647",
diff --git a/unpacked/localization/bcc/bcc.js b/unpacked/localization/bcc/bcc.js
index 1f27eb74bd..a769674a17 100644
--- a/unpacked/localization/bcc/bcc.js
+++ b/unpacked/localization/bcc/bcc.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bcc/bcc.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,11 +20,11 @@
 MathJax.Localization.addTranslation("bcc",null,{
   menuTitle: "\u0628\u0644\u0648\u0686\u06CC",
   fontDirection: "rtl",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "\u062E\u0637\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC",
diff --git a/unpacked/localization/bg/FontWarnings.js b/unpacked/localization/bg/FontWarnings.js
index 720e0362ad..e75fd0b61c 100644
--- a/unpacked/localization/bg/FontWarnings.js
+++ b/unpacked/localization/bg/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bg/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("bg","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/bg/HTML-CSS.js b/unpacked/localization/bg/HTML-CSS.js
index d7fc30e8da..fd89805957 100644
--- a/unpacked/localization/bg/HTML-CSS.js
+++ b/unpacked/localization/bg/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bg/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("bg","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/bg/HelpDialog.js b/unpacked/localization/bg/HelpDialog.js
index 2b83fd062c..f1c0995c1c 100644
--- a/unpacked/localization/bg/HelpDialog.js
+++ b/unpacked/localization/bg/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bg/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("bg","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/bg/MathML.js b/unpacked/localization/bg/MathML.js
index 84afb3e7fe..e0668acb8e 100644
--- a/unpacked/localization/bg/MathML.js
+++ b/unpacked/localization/bg/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bg/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("bg","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/bg/MathMenu.js b/unpacked/localization/bg/MathMenu.js
index 1329dc23f9..263aae6e2b 100644
--- a/unpacked/localization/bg/MathMenu.js
+++ b/unpacked/localization/bg/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bg/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("bg","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u041F\u043E\u043A\u0430\u0436\u0438 \u043A\u0430\u0442\u043E",
diff --git a/unpacked/localization/bg/TeX.js b/unpacked/localization/bg/TeX.js
index 8e90d11ac8..9168ebddbc 100644
--- a/unpacked/localization/bg/TeX.js
+++ b/unpacked/localization/bg/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bg/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("bg","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u0418\u043C\u0430 \u0438\u0437\u043B\u0438\u0448\u043D\u0430 \u043E\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0438\u043B\u0438 \u043B\u0438\u043F\u0441\u0432\u0430\u0449\u0430 \u0437\u0430\u0442\u0432\u0430\u0440\u044F\u0449\u0430 \u0441\u043A\u043E\u0431\u0430",
diff --git a/unpacked/localization/bg/bg.js b/unpacked/localization/bg/bg.js
index 3c1dbdc617..1c4ed44b75 100644
--- a/unpacked/localization/bg/bg.js
+++ b/unpacked/localization/bg/bg.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/bg/bg.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("bg",null,{
   menuTitle: " \u0431\u044A\u043B\u0433\u0430\u0440\u0441\u043A\u0438",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "\u0413\u0440\u0435\u0448\u043A\u0430 \u043F\u0440\u0438 \u043E\u0431\u0440\u0430\u0431\u043E\u0442\u043A\u0430\u0442\u0430",
diff --git a/unpacked/localization/br/FontWarnings.js b/unpacked/localization/br/FontWarnings.js
index 16da3972aa..4263e29a9e 100644
--- a/unpacked/localization/br/FontWarnings.js
+++ b/unpacked/localization/br/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/br/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("br","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax a implij ar fonto\u00F9 web evit diskwel ar jedado\u00F9 war ar bajenn-ma\u00F1. Pell eo ar re-se o pellgarga\u00F1 ha diskwelet e vefe buanoc'h ma stailhfec'h fonto\u00F9 jedoniezh war-eeun e teuliad fonto\u00F9 ho reizhiad.",
diff --git a/unpacked/localization/br/HTML-CSS.js b/unpacked/localization/br/HTML-CSS.js
index 038607647b..bf1bd74d32 100644
--- a/unpacked/localization/br/HTML-CSS.js
+++ b/unpacked/localization/br/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/br/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("br","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "O karga\u00F1 ar font web  %1",
diff --git a/unpacked/localization/br/HelpDialog.js b/unpacked/localization/br/HelpDialog.js
index e02bd2543b..c41c02efa7 100644
--- a/unpacked/localization/br/HelpDialog.js
+++ b/unpacked/localization/br/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/br/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("br","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Sikour MathJax",
diff --git a/unpacked/localization/br/MathML.js b/unpacked/localization/br/MathML.js
index dfcc44c380..5663a9e14a 100644
--- a/unpacked/localization/br/MathML.js
+++ b/unpacked/localization/br/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/br/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("br","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "mglyph fall : %1",
diff --git a/unpacked/localization/br/MathMenu.js b/unpacked/localization/br/MathMenu.js
index 846d8cecde..953525fb1e 100644
--- a/unpacked/localization/br/MathMenu.js
+++ b/unpacked/localization/br/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/br/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("br","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Diskouez ar formulenn evel",
diff --git a/unpacked/localization/br/TeX.js b/unpacked/localization/br/TeX.js
index 3f3e4cdf2e..6154857e7d 100644
--- a/unpacked/localization/br/TeX.js
+++ b/unpacked/localization/br/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/br/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("br","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Briataenn digeri\u00F1 a re pe briataenn serri\u00F1 diank",
diff --git a/unpacked/localization/br/br.js b/unpacked/localization/br/br.js
index 98c30265d4..d974cce91e 100644
--- a/unpacked/localization/br/br.js
+++ b/unpacked/localization/br/br.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/br/br.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("br",null,{
   menuTitle: "brezhoneg",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "Fazi o treta\u00F1 ar formulenn",
diff --git a/unpacked/localization/ca/FontWarnings.js b/unpacked/localization/ca/FontWarnings.js
index 1ee65825ed..8e4bf34067 100644
--- a/unpacked/localization/ca/FontWarnings.js
+++ b/unpacked/localization/ca/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ca/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ca","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax est\u00E0 utilitzant fonts basades en web per mostrar les expressions matem\u00E0tiques d'aquesta p\u00E0gina. Aix\u00F2 porta un temps per descarregar, de tal manera que la p\u00E0gina es mostrar\u00E0 m\u00E9s r\u00E0pidament si instal\u00B7leu les fonts matem\u00E0tiques directament a la vostra carpeta de sistema de fonts.",
diff --git a/unpacked/localization/ca/HTML-CSS.js b/unpacked/localization/ca/HTML-CSS.js
index 87b2b237e8..0bd8a3b6e3 100644
--- a/unpacked/localization/ca/HTML-CSS.js
+++ b/unpacked/localization/ca/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ca/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ca","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Carregant font web %1",
diff --git a/unpacked/localization/ca/HelpDialog.js b/unpacked/localization/ca/HelpDialog.js
index 58ca22b71f..0c261bb845 100644
--- a/unpacked/localization/ca/HelpDialog.js
+++ b/unpacked/localization/ca/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ca/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ca","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Ajuda MathJax",
diff --git a/unpacked/localization/ca/MathML.js b/unpacked/localization/ca/MathML.js
index 1ac2ee3949..65adf02d23 100644
--- a/unpacked/localization/ca/MathML.js
+++ b/unpacked/localization/ca/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ca/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ca","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "Mglyph incorrecte: %1",
diff --git a/unpacked/localization/ca/MathMenu.js b/unpacked/localization/ca/MathMenu.js
index 907e7f856f..b43a9ebf66 100644
--- a/unpacked/localization/ca/MathMenu.js
+++ b/unpacked/localization/ca/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ca/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ca","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Mostra f\u00F3rmules com a",
diff --git a/unpacked/localization/ca/TeX.js b/unpacked/localization/ca/TeX.js
index 9076f56bfb..d133c7aa84 100644
--- a/unpacked/localization/ca/TeX.js
+++ b/unpacked/localization/ca/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ca/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ca","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Sobra una clau d'apertura o falta una clau de tancament",
diff --git a/unpacked/localization/ca/ca.js b/unpacked/localization/ca/ca.js
index 77b855ff43..76f11928e8 100644
--- a/unpacked/localization/ca/ca.js
+++ b/unpacked/localization/ca/ca.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ca/ca.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("ca",null,{
   menuTitle: "catal\u00E0",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax ha trobat una galeta de configuraci\u00F3 d'usuari que inclou codi que s'ha d'executar. Voleu executar-lo?",
diff --git a/unpacked/localization/cdo/FontWarnings.js b/unpacked/localization/cdo/FontWarnings.js
index a738ae222d..a5102d57b7 100644
--- a/unpacked/localization/cdo/FontWarnings.js
+++ b/unpacked/localization/cdo/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cdo/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cdo","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/cdo/HTML-CSS.js b/unpacked/localization/cdo/HTML-CSS.js
index 5d3a87359f..1d381e83a3 100644
--- a/unpacked/localization/cdo/HTML-CSS.js
+++ b/unpacked/localization/cdo/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cdo/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cdo","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/cdo/HelpDialog.js b/unpacked/localization/cdo/HelpDialog.js
index 3eec3b8fa7..0f2db5696a 100644
--- a/unpacked/localization/cdo/HelpDialog.js
+++ b/unpacked/localization/cdo/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cdo/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cdo","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/cdo/MathML.js b/unpacked/localization/cdo/MathML.js
index 0be16e0c58..4ac510c786 100644
--- a/unpacked/localization/cdo/MathML.js
+++ b/unpacked/localization/cdo/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cdo/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cdo","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/cdo/MathMenu.js b/unpacked/localization/cdo/MathMenu.js
index a918bfaef1..759716024a 100644
--- a/unpacked/localization/cdo/MathMenu.js
+++ b/unpacked/localization/cdo/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cdo/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cdo","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/cdo/TeX.js b/unpacked/localization/cdo/TeX.js
index adf39eafee..6ae3110899 100644
--- a/unpacked/localization/cdo/TeX.js
+++ b/unpacked/localization/cdo/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cdo/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cdo","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/cdo/cdo.js b/unpacked/localization/cdo/cdo.js
index b459ed089b..e880ac00e5 100644
--- a/unpacked/localization/cdo/cdo.js
+++ b/unpacked/localization/cdo/cdo.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cdo/cdo.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("cdo",null,{
   menuTitle: "M\u00ECng-d\u0115\u0324ng-ng\u1E73\u0304",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax\u5DF2\u7D93\u8A0E\u8457\u5305\u62EC\u6703\u904B\u884C\u5176\u4EE3\u78BC\u5176\u7528\u6236\u914D\u7F6Ecookie\u3002\u6C5D\u6709\u60F3\u904B\u884C\u7121\uFF1F\n\n\uFF08\u9664\u958B\u9019\u78BA\u5BE6\u662F\u6C5D\u81EA\u5BB6\u7279\u610F\u8A2D\u5176cookie\uFF0C\u82E5\u7121\u6C5D\u8457\u9EDE\u53D6\u6D88\u3002\uFF09",
diff --git a/unpacked/localization/ce/FontWarnings.js b/unpacked/localization/ce/FontWarnings.js
index aebed0a146..1385921c12 100644
--- a/unpacked/localization/ce/FontWarnings.js
+++ b/unpacked/localization/ce/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ce/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ce","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/ce/HTML-CSS.js b/unpacked/localization/ce/HTML-CSS.js
index 9d3b53f39c..b1c9974bef 100644
--- a/unpacked/localization/ce/HTML-CSS.js
+++ b/unpacked/localization/ce/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ce/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ce","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/ce/HelpDialog.js b/unpacked/localization/ce/HelpDialog.js
index 0ca79620be..6ea71a6d8a 100644
--- a/unpacked/localization/ce/HelpDialog.js
+++ b/unpacked/localization/ce/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ce/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ce","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/ce/MathML.js b/unpacked/localization/ce/MathML.js
index 76f974d055..819856cfcd 100644
--- a/unpacked/localization/ce/MathML.js
+++ b/unpacked/localization/ce/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ce/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ce","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/ce/MathMenu.js b/unpacked/localization/ce/MathMenu.js
index fdc8decf1d..77d712204f 100644
--- a/unpacked/localization/ce/MathMenu.js
+++ b/unpacked/localization/ce/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ce/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ce","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/ce/TeX.js b/unpacked/localization/ce/TeX.js
index a47dfe8e65..24b84a5dc5 100644
--- a/unpacked/localization/ce/TeX.js
+++ b/unpacked/localization/ce/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ce/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ce","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/ce/ce.js b/unpacked/localization/ce/ce.js
index a3e6200558..8e31231524 100644
--- a/unpacked/localization/ce/ce.js
+++ b/unpacked/localization/ce/ce.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ce/ce.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("ce",null,{
   menuTitle: "\u041D\u043E\u0445\u0447\u0438\u0439\u043D \u043C\u043E\u0442\u0442",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "\u041C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438\u043D \u043A\u0435\u0447\u0434\u0430\u0440\u0430\u043D \u0433\u04C0\u0430\u043B\u0430\u0442",
diff --git a/unpacked/localization/cs/FontWarnings.js b/unpacked/localization/cs/FontWarnings.js
index 0d0bed4277..f1a4d62462 100644
--- a/unpacked/localization/cs/FontWarnings.js
+++ b/unpacked/localization/cs/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cs/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cs","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax pou\u017E\u00EDv\u00E1 k zobrazen\u00ED matematiky na t\u00E9to str\u00E1nce webov\u00E1 p\u00EDsma. T\u011Bm trv\u00E1 sta\u017Een\u00ED n\u011Bjakou dobu, tak\u017Ee str\u00E1nka by se vykreslila rychleji, pokud byste si tato matematick\u00E1 p\u00EDsma nainstalovali p\u0159\u00EDmo do syst\u00E9mov\u00E9 slo\u017Eky p\u00EDsem.",
diff --git a/unpacked/localization/cs/HTML-CSS.js b/unpacked/localization/cs/HTML-CSS.js
index 3762628463..9ed66a4261 100644
--- a/unpacked/localization/cs/HTML-CSS.js
+++ b/unpacked/localization/cs/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cs/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cs","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Na\u010D\u00EDt\u00E1 se web-font %1",
diff --git a/unpacked/localization/cs/HelpDialog.js b/unpacked/localization/cs/HelpDialog.js
index 0730d25b98..fd8c8360e6 100644
--- a/unpacked/localization/cs/HelpDialog.js
+++ b/unpacked/localization/cs/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cs/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cs","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "N\u00E1pov\u011Bda k MathJaxu",
diff --git a/unpacked/localization/cs/MathML.js b/unpacked/localization/cs/MathML.js
index 5b0cdd1356..194610083c 100644
--- a/unpacked/localization/cs/MathML.js
+++ b/unpacked/localization/cs/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cs/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cs","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "Chybn\u00FD mglyph: %1",
diff --git a/unpacked/localization/cs/MathMenu.js b/unpacked/localization/cs/MathMenu.js
index 4146883698..2797ccd4cf 100644
--- a/unpacked/localization/cs/MathMenu.js
+++ b/unpacked/localization/cs/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cs/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cs","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Zobrazit matematiku jako",
diff --git a/unpacked/localization/cs/TeX.js b/unpacked/localization/cs/TeX.js
index 65debb4cd2..04262b1c1f 100644
--- a/unpacked/localization/cs/TeX.js
+++ b/unpacked/localization/cs/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cs/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cs","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "P\u0159eb\u00FDvaj\u00EDc\u00ED otv\u00EDrac\u00ED nebo chyb\u011Bj\u00EDc\u00ED zav\u00EDrac\u00ED slo\u017Een\u00E1 z\u00E1vorka",
diff --git a/unpacked/localization/cs/cs.js b/unpacked/localization/cs/cs.js
index 9db4055075..9f0a1b4712 100644
--- a/unpacked/localization/cs/cs.js
+++ b/unpacked/localization/cs/cs.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cs/cs.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("cs",null,{
   menuTitle: "\u010De\u0161tina",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax nalezl cookie u\u017Eivatelsk\u00E9 konfigurace obsahuj\u00EDc\u00ED spustiteln\u00FD k\u00F3d. Chcete ho spustit?\n\n(Pokud jste cookie nenastavili sami, m\u011Bli byste stisknout Storno.)",
diff --git a/unpacked/localization/cy/FontWarnings.js b/unpacked/localization/cy/FontWarnings.js
index a700f1eeaa..9eac72fc5e 100644
--- a/unpacked/localization/cy/FontWarnings.js
+++ b/unpacked/localization/cy/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cy/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cy","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/cy/HTML-CSS.js b/unpacked/localization/cy/HTML-CSS.js
index d9706dd4d1..7db72b39b2 100644
--- a/unpacked/localization/cy/HTML-CSS.js
+++ b/unpacked/localization/cy/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cy/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cy","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/cy/HelpDialog.js b/unpacked/localization/cy/HelpDialog.js
index 5830c716fd..3de4ac08d4 100644
--- a/unpacked/localization/cy/HelpDialog.js
+++ b/unpacked/localization/cy/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cy/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cy","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/cy/MathML.js b/unpacked/localization/cy/MathML.js
index 5d4b9e15c7..7fc3d5b847 100644
--- a/unpacked/localization/cy/MathML.js
+++ b/unpacked/localization/cy/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cy/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cy","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/cy/MathMenu.js b/unpacked/localization/cy/MathMenu.js
index 4d7fe23e73..90616dffc4 100644
--- a/unpacked/localization/cy/MathMenu.js
+++ b/unpacked/localization/cy/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cy/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cy","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/cy/TeX.js b/unpacked/localization/cy/TeX.js
index 8e5b59a1ee..f4ae9af015 100644
--- a/unpacked/localization/cy/TeX.js
+++ b/unpacked/localization/cy/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cy/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("cy","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/cy/cy.js b/unpacked/localization/cy/cy.js
index 50e8f0d477..add6e909e9 100644
--- a/unpacked/localization/cy/cy.js
+++ b/unpacked/localization/cy/cy.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/cy/cy.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("cy",null,{
   menuTitle: "Cymraeg",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "Gwall prosesu mathemateg",
diff --git a/unpacked/localization/da/FontWarnings.js b/unpacked/localization/da/FontWarnings.js
index 8f007b0c3e..44915237c8 100644
--- a/unpacked/localization/da/FontWarnings.js
+++ b/unpacked/localization/da/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/da/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("da","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax bruger web-baserede skrifttyper til at vise det matematiske p\u00E5 denne side.  Dette tager tid at hente, s\u00E5 siden ville blive hurtigere, hvis du installerede matematiske skrifttyper direkte i dit systems skrifttypemappe.",
diff --git a/unpacked/localization/da/HTML-CSS.js b/unpacked/localization/da/HTML-CSS.js
index 3724e4e73c..72089ec357 100644
--- a/unpacked/localization/da/HTML-CSS.js
+++ b/unpacked/localization/da/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/da/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("da","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Indl\u00E6ser webskrifftype %1",
diff --git a/unpacked/localization/da/HelpDialog.js b/unpacked/localization/da/HelpDialog.js
index dc4fe780af..f495e0488f 100644
--- a/unpacked/localization/da/HelpDialog.js
+++ b/unpacked/localization/da/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/da/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("da","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "MathJax hj\u00E6lp",
diff --git a/unpacked/localization/da/MathML.js b/unpacked/localization/da/MathML.js
index 100a3f3351..b31e790a96 100644
--- a/unpacked/localization/da/MathML.js
+++ b/unpacked/localization/da/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/da/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("da","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "D\u00E5rlig mglyph: %1",
diff --git a/unpacked/localization/da/MathMenu.js b/unpacked/localization/da/MathMenu.js
index b2a1dfaf1e..325c94f970 100644
--- a/unpacked/localization/da/MathMenu.js
+++ b/unpacked/localization/da/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/da/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("da","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Vis matematik som",
diff --git a/unpacked/localization/da/TeX.js b/unpacked/localization/da/TeX.js
index 408f42d03f..29393c0eb1 100644
--- a/unpacked/localization/da/TeX.js
+++ b/unpacked/localization/da/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/da/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("da","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Ekstra venstreklammeparentes eller manglende h\u00F8jreklammeparentes",
diff --git a/unpacked/localization/da/da.js b/unpacked/localization/da/da.js
index 0986f8200d..a87250b951 100644
--- a/unpacked/localization/da/da.js
+++ b/unpacked/localization/da/da.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/da/da.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("da",null,{
   menuTitle: "dansk",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax har fundet en cookie med brugerkonfiguration, der indeholder kode til at k\u00F8re. Vil du k\u00F8re det?\n\n(Du b\u00F8r trykke p\u00E5 Annuller, medmindre du oprettede cookien selv.)",
diff --git a/unpacked/localization/de/FontWarnings.js b/unpacked/localization/de/FontWarnings.js
index 92fb8b942f..7cfb5b223c 100644
--- a/unpacked/localization/de/FontWarnings.js
+++ b/unpacked/localization/de/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/de/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("de","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax nutz web-basierte Fonts zur Darstellung der Mathematik auf dieser Seite. Da diese heruntergeladen werden m\u00FCssen, l\u00E4dt die Seite schneller, wenn Mathe-Fonts auf dem System installiert sind.",
diff --git a/unpacked/localization/de/HTML-CSS.js b/unpacked/localization/de/HTML-CSS.js
index c44b2b8cdc..0f09e74286 100644
--- a/unpacked/localization/de/HTML-CSS.js
+++ b/unpacked/localization/de/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/de/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("de","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Lade Webfont %1",
diff --git a/unpacked/localization/de/HelpDialog.js b/unpacked/localization/de/HelpDialog.js
index e0f94ec411..444127ea64 100644
--- a/unpacked/localization/de/HelpDialog.js
+++ b/unpacked/localization/de/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/de/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("de","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "MathJax Hilfe",
diff --git a/unpacked/localization/de/MathML.js b/unpacked/localization/de/MathML.js
index e35467251b..1cc6610f3f 100644
--- a/unpacked/localization/de/MathML.js
+++ b/unpacked/localization/de/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/de/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("de","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "ung\u00FCltige mglyph: %1",
diff --git a/unpacked/localization/de/MathMenu.js b/unpacked/localization/de/MathMenu.js
index 97c2d744a7..d80f3e7e98 100644
--- a/unpacked/localization/de/MathMenu.js
+++ b/unpacked/localization/de/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/de/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("de","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Zeige mathematischen Ausdruck als",
diff --git a/unpacked/localization/de/TeX.js b/unpacked/localization/de/TeX.js
index 7b3fefd5f8..ec799cd3b4 100644
--- a/unpacked/localization/de/TeX.js
+++ b/unpacked/localization/de/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/de/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("de","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Zus\u00E4tzliche \u00F6ffnende, oder fehlende schlie\u00DFende Klammer",
diff --git a/unpacked/localization/de/de.js b/unpacked/localization/de/de.js
index 4c619abd6c..2defbc1eaa 100644
--- a/unpacked/localization/de/de.js
+++ b/unpacked/localization/de/de.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/de/de.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("de",null,{
   menuTitle: "Deutsch",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax hat eine Cookie mit ausf\u00FChrbaren Code gefunden. Soll dieser Code ausgef\u00FChrt werden?\n\n(Klicken Sie 'Abbrechen' falls Sie das Cookie nicht selber akzeptiert haben.)",
diff --git a/unpacked/localization/diq/FontWarnings.js b/unpacked/localization/diq/FontWarnings.js
index 31377a5679..f41aa2ed5b 100644
--- a/unpacked/localization/diq/FontWarnings.js
+++ b/unpacked/localization/diq/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/diq/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("diq","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/diq/HTML-CSS.js b/unpacked/localization/diq/HTML-CSS.js
index bb04d0fbcc..87df68f88f 100644
--- a/unpacked/localization/diq/HTML-CSS.js
+++ b/unpacked/localization/diq/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/diq/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("diq","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Web font %1 bar beno",
diff --git a/unpacked/localization/diq/HelpDialog.js b/unpacked/localization/diq/HelpDialog.js
index f9b6105ce2..1602276ec6 100644
--- a/unpacked/localization/diq/HelpDialog.js
+++ b/unpacked/localization/diq/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/diq/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("diq","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/diq/MathML.js b/unpacked/localization/diq/MathML.js
index 604a117d14..1d01ad5b9a 100644
--- a/unpacked/localization/diq/MathML.js
+++ b/unpacked/localization/diq/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/diq/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("diq","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/diq/MathMenu.js b/unpacked/localization/diq/MathMenu.js
index cc9666225b..e78465c722 100644
--- a/unpacked/localization/diq/MathMenu.js
+++ b/unpacked/localization/diq/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/diq/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("diq","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Zey tebir\u00EA matematik\u00EAni b\u0131mocne",
diff --git a/unpacked/localization/diq/TeX.js b/unpacked/localization/diq/TeX.js
index d6ae2cc542..2378df3190 100644
--- a/unpacked/localization/diq/TeX.js
+++ b/unpacked/localization/diq/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/diq/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("diq","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/diq/diq.js b/unpacked/localization/diq/diq.js
index 4ec426c67e..c1db0401f9 100644
--- a/unpacked/localization/diq/diq.js
+++ b/unpacked/localization/diq/diq.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/diq/diq.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("diq",null,{
   menuTitle: "Zazaki",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "X\u0131raba kar\u00EA matematiki",
diff --git a/unpacked/localization/en/FontWarnings.js b/unpacked/localization/en/FontWarnings.js
index 8e39025b00..737f1a50ef 100644
--- a/unpacked/localization/en/FontWarnings.js
+++ b/unpacked/localization/en/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/en/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("en","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax is using web-based fonts to display the mathematics on this page.  These take time to download, so the page would render faster if you installed math fonts directly in your system's font folder.",
diff --git a/unpacked/localization/en/HTML-CSS.js b/unpacked/localization/en/HTML-CSS.js
index 2cf3e3fe8f..46d7bcde24 100644
--- a/unpacked/localization/en/HTML-CSS.js
+++ b/unpacked/localization/en/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/en/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("en","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Loading web font %1",
diff --git a/unpacked/localization/en/HelpDialog.js b/unpacked/localization/en/HelpDialog.js
index c491556fb4..963d497d54 100644
--- a/unpacked/localization/en/HelpDialog.js
+++ b/unpacked/localization/en/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/en/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("en","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "MathJax Help",
diff --git a/unpacked/localization/en/MathML.js b/unpacked/localization/en/MathML.js
index 0512b16b24..89f022151b 100644
--- a/unpacked/localization/en/MathML.js
+++ b/unpacked/localization/en/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/en/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("en","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "Bad mglyph: %1",
diff --git a/unpacked/localization/en/MathMenu.js b/unpacked/localization/en/MathMenu.js
index 8ae5bc1c7f..2782d2661a 100644
--- a/unpacked/localization/en/MathMenu.js
+++ b/unpacked/localization/en/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/en/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("en","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Show math as",
diff --git a/unpacked/localization/en/TeX.js b/unpacked/localization/en/TeX.js
index f521081b31..7839cb460b 100644
--- a/unpacked/localization/en/TeX.js
+++ b/unpacked/localization/en/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/en/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("en","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Extra open brace or missing close brace",
diff --git a/unpacked/localization/en/en.js b/unpacked/localization/en/en.js
index 42781c430c..ed789d6aa5 100644
--- a/unpacked/localization/en/en.js
+++ b/unpacked/localization/en/en.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/en/en.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("en",null,{
   menuTitle: "English",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax has found a user-configuration cookie that includes code to be run. Do you want to run it?\n\n(You should press Cancel unless you set up the cookie yourself.)",
diff --git a/unpacked/localization/eo/FontWarnings.js b/unpacked/localization/eo/FontWarnings.js
index 2b1233e372..9a70e657f3 100644
--- a/unpacked/localization/eo/FontWarnings.js
+++ b/unpacked/localization/eo/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/eo/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("eo","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/eo/HTML-CSS.js b/unpacked/localization/eo/HTML-CSS.js
index d1da1302df..28b62234ed 100644
--- a/unpacked/localization/eo/HTML-CSS.js
+++ b/unpacked/localization/eo/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/eo/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("eo","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/eo/HelpDialog.js b/unpacked/localization/eo/HelpDialog.js
index 2de40fcdf9..ab3af6edc5 100644
--- a/unpacked/localization/eo/HelpDialog.js
+++ b/unpacked/localization/eo/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/eo/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("eo","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/eo/MathML.js b/unpacked/localization/eo/MathML.js
index 765b727f28..8c0269408f 100644
--- a/unpacked/localization/eo/MathML.js
+++ b/unpacked/localization/eo/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/eo/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("eo","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/eo/MathMenu.js b/unpacked/localization/eo/MathMenu.js
index 9e15a90766..048791ea84 100644
--- a/unpacked/localization/eo/MathMenu.js
+++ b/unpacked/localization/eo/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/eo/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("eo","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/eo/TeX.js b/unpacked/localization/eo/TeX.js
index 5087dfb14a..1298ae4fc5 100644
--- a/unpacked/localization/eo/TeX.js
+++ b/unpacked/localization/eo/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/eo/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("eo","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/eo/eo.js b/unpacked/localization/eo/eo.js
index 0332197cf4..6726658833 100644
--- a/unpacked/localization/eo/eo.js
+++ b/unpacked/localization/eo/eo.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/eo/eo.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("eo",null,{
   menuTitle: "Esperanto",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Loading: "\u015Cargado",
diff --git a/unpacked/localization/es/FontWarnings.js b/unpacked/localization/es/FontWarnings.js
index 8b0d5c9080..6925f06906 100644
--- a/unpacked/localization/es/FontWarnings.js
+++ b/unpacked/localization/es/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/es/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("es","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax utiliza tipos de letra web para mostrar la notaci\u00F3n matem\u00E1tica de esta p\u00E1gina. Estos tardan un poco en descargarse, por lo que instalarlos en el equipo acelerar\u00E1 la renderizaci\u00F3n de la p\u00E1gina.",
diff --git a/unpacked/localization/es/HTML-CSS.js b/unpacked/localization/es/HTML-CSS.js
index abcec85e8c..7e6446a1ca 100644
--- a/unpacked/localization/es/HTML-CSS.js
+++ b/unpacked/localization/es/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/es/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("es","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Cargando el tipo de letra web %1",
diff --git a/unpacked/localization/es/HelpDialog.js b/unpacked/localization/es/HelpDialog.js
index 8894df8aaf..6a96e9e5ba 100644
--- a/unpacked/localization/es/HelpDialog.js
+++ b/unpacked/localization/es/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/es/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("es","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Ayuda de MathJax",
diff --git a/unpacked/localization/es/MathML.js b/unpacked/localization/es/MathML.js
index 73ec0a0e1e..5512b03e66 100644
--- a/unpacked/localization/es/MathML.js
+++ b/unpacked/localization/es/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/es/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("es","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "\u00ABmglyph\u00BB da\u00F1ado: %1",
diff --git a/unpacked/localization/es/MathMenu.js b/unpacked/localization/es/MathMenu.js
index 9d5d446c70..fb1416228c 100644
--- a/unpacked/localization/es/MathMenu.js
+++ b/unpacked/localization/es/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/es/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("es","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Mostrar las f\u00F3rmulas como",
diff --git a/unpacked/localization/es/TeX.js b/unpacked/localization/es/TeX.js
index 60b90124c8..d73a4c1197 100644
--- a/unpacked/localization/es/TeX.js
+++ b/unpacked/localization/es/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/es/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("es","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Llave de apertura adicional o falta la llave de cierre",
diff --git a/unpacked/localization/es/es.js b/unpacked/localization/es/es.js
index be9f81a146..2aab51f8c4 100644
--- a/unpacked/localization/es/es.js
+++ b/unpacked/localization/es/es.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/es/es.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("es",null,{
   menuTitle: "espa\u00F1ol",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax ha encontrado una cookie de configuraci\u00F3n de usuario que incluye c\u00F3digo para ser ejecutado.\u00BFQuieres ejecutarlo?\n\\n\n(Pulse Cancelar al menos que configure la cookie).",
diff --git a/unpacked/localization/fa/FontWarnings.js b/unpacked/localization/fa/FontWarnings.js
index 333cc37141..41240dba91 100644
--- a/unpacked/localization/fa/FontWarnings.js
+++ b/unpacked/localization/fa/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fa/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fa","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0632\u0645\u0627\u0646\u06CC \u062C\u0647\u062A \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0628\u06AF\u06CC\u0631\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0631\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u0633\u062A\u0642\u06CC\u0645 \u062F\u0631 \u067E\u0648\u0634\u0647\u0654 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0633\u06CC\u0633\u062A\u0645\u200C\u0639\u0627\u0645\u0644 \u062E\u0648\u062F \u0642\u0631\u0627\u0631 \u062F\u0647\u06CC\u062F \u0646\u0645\u0627\u06CC\u0634 \u0635\u0641\u062D\u0627\u062A \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u0646\u062F \u0634\u062F.",
diff --git a/unpacked/localization/fa/HTML-CSS.js b/unpacked/localization/fa/HTML-CSS.js
index 3086576060..8ac0197b16 100644
--- a/unpacked/localization/fa/HTML-CSS.js
+++ b/unpacked/localization/fa/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fa/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fa","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0642\u0644\u0645 \u0648\u0628\u06CC %1",
diff --git a/unpacked/localization/fa/HelpDialog.js b/unpacked/localization/fa/HelpDialog.js
index 2a22f981b7..2dcf39704e 100644
--- a/unpacked/localization/fa/HelpDialog.js
+++ b/unpacked/localization/fa/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fa/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fa","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",
diff --git a/unpacked/localization/fa/MathML.js b/unpacked/localization/fa/MathML.js
index 8d670b1813..0d9bd0a1c2 100644
--- a/unpacked/localization/fa/MathML.js
+++ b/unpacked/localization/fa/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fa/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fa","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "mglyph \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",
diff --git a/unpacked/localization/fa/MathMenu.js b/unpacked/localization/fa/MathMenu.js
index a40ad2375c..97fda6d4ac 100644
--- a/unpacked/localization/fa/MathMenu.js
+++ b/unpacked/localization/fa/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fa/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fa","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u0639\u0646\u0648\u0627\u0646",
diff --git a/unpacked/localization/fa/TeX.js b/unpacked/localization/fa/TeX.js
index b89b2c3887..3bd5a5fd64 100644
--- a/unpacked/localization/fa/TeX.js
+++ b/unpacked/localization/fa/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fa/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fa","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647",
diff --git a/unpacked/localization/fa/fa.js b/unpacked/localization/fa/fa.js
index 86104620f7..e1fe3b2cce 100644
--- a/unpacked/localization/fa/fa.js
+++ b/unpacked/localization/fa/fa.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fa/fa.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,11 +20,11 @@
 MathJax.Localization.addTranslation("fa",null,{
   menuTitle: "\u0641\u0627\u0631\u0633\u06CC",
   fontDirection: "rtl",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax \u06CC\u06A9 \u06A9\u0644\u0648\u0686\u06A9 \u062A\u0646\u0638\u06CC\u0645\u0627\u062A \u06A9\u0627\u0631\u0628\u0631\u06CC \u06CC\u0627\u0641\u062A \u06A9\u0647 \u0634\u0627\u0645\u0644 \u06A9\u062F \u0627\u062C\u0631\u0627\u06CC\u06CC \u0627\u0633\u062A. \u0622\u06CC\u0627 \u0645\u06CC\u200C\u062E\u0648\u0627\u0647\u06CC\u062F \u0622\u0646 \u0631\u0627 \u0627\u062C\u0631\u0627 \u06A9\u0646\u06CC\u062F\u061F\n\n(\u0628\u0647\u062A\u0631 \u0627\u0633\u062A \u0628\u0631 \u0644\u063A\u0648 \u0628\u0641\u0634\u0627\u0631\u06CC\u062F \u0645\u06AF\u0631 \u0627\u06CC\u0646\u06A9\u0647 \u062E\u0648\u062F\u062A\u0627\u0646 \u06A9\u0644\u0648\u0686\u06A9 \u0631\u0627 \u062A\u0646\u0638\u06CC\u0645\u200C\u06A9\u0631\u062F\u0647\u200C\u0627\u06CC\u062F.)",
diff --git a/unpacked/localization/fi/FontWarnings.js b/unpacked/localization/fi/FontWarnings.js
index 55ebc6b87f..52fce9a320 100644
--- a/unpacked/localization/fi/FontWarnings.js
+++ b/unpacked/localization/fi/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fi/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fi","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/fi/HTML-CSS.js b/unpacked/localization/fi/HTML-CSS.js
index e1fc310141..5f2a2d07d2 100644
--- a/unpacked/localization/fi/HTML-CSS.js
+++ b/unpacked/localization/fi/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fi/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fi","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/fi/HelpDialog.js b/unpacked/localization/fi/HelpDialog.js
index e252f2c3c4..b35745d7bc 100644
--- a/unpacked/localization/fi/HelpDialog.js
+++ b/unpacked/localization/fi/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fi/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fi","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/fi/MathML.js b/unpacked/localization/fi/MathML.js
index 0bdc0a05d7..9761c1fda9 100644
--- a/unpacked/localization/fi/MathML.js
+++ b/unpacked/localization/fi/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fi/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fi","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/fi/MathMenu.js b/unpacked/localization/fi/MathMenu.js
index 466abab3d1..95a444bcc6 100644
--- a/unpacked/localization/fi/MathMenu.js
+++ b/unpacked/localization/fi/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fi/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fi","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathMLcode: "MathML-koodi",
diff --git a/unpacked/localization/fi/TeX.js b/unpacked/localization/fi/TeX.js
index ca5e793e81..9ae9625847 100644
--- a/unpacked/localization/fi/TeX.js
+++ b/unpacked/localization/fi/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fi/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fi","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/fi/fi.js b/unpacked/localization/fi/fi.js
index 8061487933..22df47fc21 100644
--- a/unpacked/localization/fi/fi.js
+++ b/unpacked/localization/fi/fi.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fi/fi.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("fi",null,{
   menuTitle: "suomi",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax on l\u00F6yt\u00E4nyt ev\u00E4steen, joka sis\u00E4lt\u00E4\u00E4 asetuksia ja ohjelmakoodia. Haluatko ajaa sen?\n\n(Peru, ellet ole luonut ev\u00E4stett\u00E4 itse.)",
diff --git a/unpacked/localization/fr/FontWarnings.js b/unpacked/localization/fr/FontWarnings.js
index b724cd39e0..504274297c 100644
--- a/unpacked/localization/fr/FontWarnings.js
+++ b/unpacked/localization/fr/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fr/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fr","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax utilise les polices web pour afficher les expressions math\u00E9matiques sur cette page. Celles-ci mettent du temps \u00E0 \u00EAtre t\u00E9l\u00E9charg\u00E9es et la page serait affich\u00E9e plus rapidement si vous installiez les polices math\u00E9matiques directement dans le dossier des polices de votre syst\u00E8me.",
diff --git a/unpacked/localization/fr/HTML-CSS.js b/unpacked/localization/fr/HTML-CSS.js
index c89f973c95..1b84ff8eb0 100644
--- a/unpacked/localization/fr/HTML-CSS.js
+++ b/unpacked/localization/fr/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fr/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fr","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "T\u00E9l\u00E9chargement de la police web %1",
diff --git a/unpacked/localization/fr/HelpDialog.js b/unpacked/localization/fr/HelpDialog.js
index 1c8c889f8b..a1e0b82c71 100644
--- a/unpacked/localization/fr/HelpDialog.js
+++ b/unpacked/localization/fr/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fr/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fr","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Aide MathJax",
diff --git a/unpacked/localization/fr/MathML.js b/unpacked/localization/fr/MathML.js
index f33ff6da65..aea922840e 100644
--- a/unpacked/localization/fr/MathML.js
+++ b/unpacked/localization/fr/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fr/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fr","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "\u00C9lement mglyph incorrect: %1",
diff --git a/unpacked/localization/fr/MathMenu.js b/unpacked/localization/fr/MathMenu.js
index 5740a5d09f..2f3282d834 100644
--- a/unpacked/localization/fr/MathMenu.js
+++ b/unpacked/localization/fr/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fr/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fr","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Afficher sous forme",
diff --git a/unpacked/localization/fr/TeX.js b/unpacked/localization/fr/TeX.js
index c278ad6c7f..971e02844d 100644
--- a/unpacked/localization/fr/TeX.js
+++ b/unpacked/localization/fr/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fr/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("fr","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Accolade ouvrante superflue ou accolade fermante manquante",
diff --git a/unpacked/localization/fr/fr.js b/unpacked/localization/fr/fr.js
index 8915ffa5bb..eb5e04c3f4 100644
--- a/unpacked/localization/fr/fr.js
+++ b/unpacked/localization/fr/fr.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/fr/fr.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("fr",null,{
   menuTitle: "fran\u00E7ais",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax a trouv\u00E9 un t\u00E9moin (cookie) de configuration utilisateur qui inclut du code ex\u00E9cutable. Souhaitez vous l\u2019ex\u00E9cuter ?\n\n(Choisissez Annuler sauf si vous avez cr\u00E9\u00E9 ce t\u00E9moin vous-m\u00EAme.)",
diff --git a/unpacked/localization/gl/FontWarnings.js b/unpacked/localization/gl/FontWarnings.js
index cdd73abaad..8316172fa7 100644
--- a/unpacked/localization/gl/FontWarnings.js
+++ b/unpacked/localization/gl/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/gl/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("gl","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/gl/HTML-CSS.js b/unpacked/localization/gl/HTML-CSS.js
index d02c3f8f47..4929488e7d 100644
--- a/unpacked/localization/gl/HTML-CSS.js
+++ b/unpacked/localization/gl/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/gl/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("gl","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Cargando o tipo de letra web %1",
diff --git a/unpacked/localization/gl/HelpDialog.js b/unpacked/localization/gl/HelpDialog.js
index f2fd2993fd..5df1240cbe 100644
--- a/unpacked/localization/gl/HelpDialog.js
+++ b/unpacked/localization/gl/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/gl/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("gl","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/gl/MathML.js b/unpacked/localization/gl/MathML.js
index 0be836358c..4791a07e28 100644
--- a/unpacked/localization/gl/MathML.js
+++ b/unpacked/localization/gl/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/gl/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("gl","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/gl/MathMenu.js b/unpacked/localization/gl/MathMenu.js
index 1c652b04e7..e08084a8d4 100644
--- a/unpacked/localization/gl/MathMenu.js
+++ b/unpacked/localization/gl/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/gl/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("gl","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/gl/TeX.js b/unpacked/localization/gl/TeX.js
index adcff6c67c..4849f39f27 100644
--- a/unpacked/localization/gl/TeX.js
+++ b/unpacked/localization/gl/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/gl/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("gl","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/gl/gl.js b/unpacked/localization/gl/gl.js
index ea8d3b1430..004c599586 100644
--- a/unpacked/localization/gl/gl.js
+++ b/unpacked/localization/gl/gl.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/gl/gl.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("gl",null,{
   menuTitle: "galego",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax atopou unha cookie de configuraci\u00F3n de usuario que incl\u00FAe c\u00F3digo executable. Quere executar ese c\u00F3digo?\n\n(Deber\u00EDa premer en \"Cancelar\", a menos que vostede crease a cookie.)",
diff --git a/unpacked/localization/he/FontWarnings.js b/unpacked/localization/he/FontWarnings.js
index 31ce92652c..a0ac3b36d2 100644
--- a/unpacked/localization/he/FontWarnings.js
+++ b/unpacked/localization/he/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/he/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("he","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax \u05DE\u05E9\u05EA\u05DE\u05E9 \u05D1\u05D2\u05D5\u05E4\u05E0\u05D9 \u05E8\u05E9\u05EA \u05DB\u05D3\u05D9 \u05DC\u05D4\u05E6\u05D9\u05D2 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05D1\u05D3\u05DA \u05D4\u05D6\u05D4. \u05D6\u05D4 \u05D3\u05D5\u05E8\u05E9 \u05D6\u05DE\u05DF \u05DC\u05D4\u05D5\u05E8\u05D3\u05D4, \u05D5\u05D4\u05D3\u05E3 \u05D9\u05D5\u05E6\u05D2 \u05DE\u05D4\u05E8 \u05D9\u05D5\u05EA\u05E8 \u05D0\u05DD \u05D9\u05D5\u05EA\u05E7\u05E0\u05D5 \u05D2\u05D5\u05E4\u05E0\u05D9 \u05DE\u05EA\u05DE\u05D8\u05D9\u05E7\u05D4 \u05D1\u05DE\u05E2\u05E8\u05DB\u05EA \u05E9\u05DC\u05DA.",
diff --git a/unpacked/localization/he/HTML-CSS.js b/unpacked/localization/he/HTML-CSS.js
index ed79df4d4a..ae6a710457 100644
--- a/unpacked/localization/he/HTML-CSS.js
+++ b/unpacked/localization/he/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/he/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("he","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u05D8\u05E2\u05D9\u05E0\u05EA \u05D2\u05D5\u05E4\u05DF \u05D4\u05E8\u05E9\u05EA %1",
diff --git a/unpacked/localization/he/HelpDialog.js b/unpacked/localization/he/HelpDialog.js
index 228ea89932..41a54be861 100644
--- a/unpacked/localization/he/HelpDialog.js
+++ b/unpacked/localization/he/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/he/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("he","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "\u05E2\u05D6\u05E8\u05D4 \u05E9\u05DC MathJax",
diff --git a/unpacked/localization/he/MathML.js b/unpacked/localization/he/MathML.js
index 97bde78092..50b18720fb 100644
--- a/unpacked/localization/he/MathML.js
+++ b/unpacked/localization/he/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/he/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("he","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "\u05E8\u05DB\u05D9\u05D1 mglyph \u05D2\u05E8\u05D5\u05E2: %1",
diff --git a/unpacked/localization/he/MathMenu.js b/unpacked/localization/he/MathMenu.js
index f616395b20..b039ffeaf0 100644
--- a/unpacked/localization/he/MathMenu.js
+++ b/unpacked/localization/he/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/he/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("he","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u05DC\u05D4\u05E6\u05D9\u05D2 \u05E0\u05D5\u05E1\u05D7\u05D0\u05D5\u05EA \u05D1\u05EA\u05D5\u05E8",
diff --git a/unpacked/localization/he/TeX.js b/unpacked/localization/he/TeX.js
index bbd399753c..179b2d463e 100644
--- a/unpacked/localization/he/TeX.js
+++ b/unpacked/localization/he/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/he/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("he","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u05E1\u05D5\u05D2\u05E8 \u05E4\u05EA\u05D9\u05D7\u05D4 \u05DE\u05D9\u05D5\u05EA\u05E8 \u05D0\u05D5 \u05E1\u05D5\u05D2\u05E8 \u05E1\u05D9\u05D5\u05DD \u05D7\u05E1\u05E8",
diff --git a/unpacked/localization/he/he.js b/unpacked/localization/he/he.js
index f7ca9bdb56..6714c273f0 100644
--- a/unpacked/localization/he/he.js
+++ b/unpacked/localization/he/he.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/he/he.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,11 +20,11 @@
 MathJax.Localization.addTranslation("he",null,{
   menuTitle: "\u05E2\u05D1\u05E8\u05D9\u05EA",
   fontDirection: "rtl",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax \u05DE\u05E6\u05D0 \u05E2\u05D5\u05D2\u05D9\u05D9\u05EA \u05D4\u05D2\u05D3\u05E8\u05D5\u05EA \u05DE\u05E9\u05EA\u05DE\u05E9 \u05E9\u05DB\u05D5\u05DC\u05DC\u05EA \u05E7\u05D5\u05D3 \u05DC\u05D4\u05E8\u05E6\u05D4. \u05D4\u05D0\u05DD \u05DC\u05D4\u05E8\u05D9\u05E5 \u05D0\u05D5\u05EA\u05D5?\n\n(\u05D9\u05E9 \u05DC\u05DC\u05D7\u05D5\u05E5 \"\u05D1\u05D9\u05D8\u05D5\u05DC\" \u05D0\u05DC\u05D0 \u05D0\u05DD \u05D4\u05D2\u05D3\u05E8\u05EA \u05D0\u05EA \u05D4\u05E2\u05D5\u05D2\u05D9\u05D9\u05D4 \u05D1\u05E2\u05E6\u05DE\u05DA.)",
diff --git a/unpacked/localization/ia/FontWarnings.js b/unpacked/localization/ia/FontWarnings.js
index f98d5aeaeb..adc25ada67 100644
--- a/unpacked/localization/ia/FontWarnings.js
+++ b/unpacked/localization/ia/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ia/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ia","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax utilisa typos de litteras discargate del web pro presentar le formulas mathematic in iste pagina. Istes require tempore pro esser discargate; le pagina apparerea plus rapidemente si vos installa le typos de characteres mathematic directemente in le dossier de typos de litteras de vostre computator.",
diff --git a/unpacked/localization/ia/HTML-CSS.js b/unpacked/localization/ia/HTML-CSS.js
index 4054d35630..8306dbba73 100644
--- a/unpacked/localization/ia/HTML-CSS.js
+++ b/unpacked/localization/ia/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ia/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ia","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/ia/HelpDialog.js b/unpacked/localization/ia/HelpDialog.js
index af4c4b561c..e5105f0768 100644
--- a/unpacked/localization/ia/HelpDialog.js
+++ b/unpacked/localization/ia/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ia/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ia","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Adjuta de MathJax",
diff --git a/unpacked/localization/ia/MathML.js b/unpacked/localization/ia/MathML.js
index da481fbad5..7504835ae4 100644
--- a/unpacked/localization/ia/MathML.js
+++ b/unpacked/localization/ia/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ia/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ia","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/ia/MathMenu.js b/unpacked/localization/ia/MathMenu.js
index cbb33570a4..7baaee3112 100644
--- a/unpacked/localization/ia/MathMenu.js
+++ b/unpacked/localization/ia/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ia/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ia","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/ia/TeX.js b/unpacked/localization/ia/TeX.js
index aac3d8fc57..5613d755a9 100644
--- a/unpacked/localization/ia/TeX.js
+++ b/unpacked/localization/ia/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ia/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ia","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/ia/ia.js b/unpacked/localization/ia/ia.js
index 6355bebd18..cc464e7236 100644
--- a/unpacked/localization/ia/ia.js
+++ b/unpacked/localization/ia/ia.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ia/ia.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("ia",null,{
   menuTitle: "interlingua",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax ha trovate un cookie con un configuration de usator que include codice executabile. Executar iste codice?\n\n(Preme Cancellar si vos mesme non ha installate iste cookie.)",
diff --git a/unpacked/localization/it/FontWarnings.js b/unpacked/localization/it/FontWarnings.js
index 4116a2fe98..088ba806b0 100644
--- a/unpacked/localization/it/FontWarnings.js
+++ b/unpacked/localization/it/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/it/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("it","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax sta usando dei web font per visualizzare le formule di questa pagina. Tali font richiedono tempo per essere scaricati, perci\u00F2 la pagina sarebbe resa pi\u00F9 velocemente se tu installassi dei font matematici direttamente nella cartella dei font di sistema.",
diff --git a/unpacked/localization/it/HTML-CSS.js b/unpacked/localization/it/HTML-CSS.js
index 1db083c5c0..d8d1f4e396 100644
--- a/unpacked/localization/it/HTML-CSS.js
+++ b/unpacked/localization/it/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/it/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("it","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Caricamento web-font %1",
diff --git a/unpacked/localization/it/HelpDialog.js b/unpacked/localization/it/HelpDialog.js
index b2e7688df6..38b43d2e5c 100644
--- a/unpacked/localization/it/HelpDialog.js
+++ b/unpacked/localization/it/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/it/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("it","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Aiuto su MathJax",
diff --git a/unpacked/localization/it/MathML.js b/unpacked/localization/it/MathML.js
index 3daf972d19..11271c76ca 100644
--- a/unpacked/localization/it/MathML.js
+++ b/unpacked/localization/it/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/it/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("it","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "mglyph errato: %1",
diff --git a/unpacked/localization/it/MathMenu.js b/unpacked/localization/it/MathMenu.js
index 221c7d91af..833cb8fba7 100644
--- a/unpacked/localization/it/MathMenu.js
+++ b/unpacked/localization/it/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/it/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("it","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Mostra formula come",
diff --git a/unpacked/localization/it/TeX.js b/unpacked/localization/it/TeX.js
index d242614b3f..3b18021d5d 100644
--- a/unpacked/localization/it/TeX.js
+++ b/unpacked/localization/it/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/it/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("it","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Graffa d'apertura in pi\u00F9 o di chiusura mancante",
diff --git a/unpacked/localization/it/it.js b/unpacked/localization/it/it.js
index 3e6cda2c3d..b5e1d3fce2 100644
--- a/unpacked/localization/it/it.js
+++ b/unpacked/localization/it/it.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/it/it.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("it",null,{
   menuTitle: "italiano",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax ha trovato un cookie di configurazione utente che include del codice eseguibile. Vuoi eseguirlo?\n\n(Premi Annulla a meno che non l'abbia effettivamente impostato tu.)",
diff --git a/unpacked/localization/ja/FontWarnings.js b/unpacked/localization/ja/FontWarnings.js
index b4d909b651..ff60f8d0a6 100644
--- a/unpacked/localization/ja/FontWarnings.js
+++ b/unpacked/localization/ja/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ja/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ja","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax \u306F\u3053\u306E\u30DA\u30FC\u30B8\u3067\u3001\u6570\u5F0F\u3092\u8868\u793A\u3059\u308B\u305F\u3081\u306B\u30A6\u30A7\u30D6 \u30D9\u30FC\u30B9\u306E\u30D5\u30A9\u30F3\u30C8\u3092\u4F7F\u7528\u3057\u3066\u3044\u307E\u3059\u3002\u30D5\u30A9\u30F3\u30C8\u306E\u30C0\u30A6\u30F3\u30ED\u30FC\u30C9\u306B\u6642\u9593\u304C\u304B\u304B\u308B\u305F\u3081\u3001\u3042\u306A\u305F\u306E\u30B7\u30B9\u30C6\u30E0\u306E\u30D5\u30A9\u30F3\u30C8 \u30D5\u30A9\u30EB\u30C0\u30FC\u306B\u6570\u5F0F\u30D5\u30A9\u30F3\u30C8\u3092\u76F4\u63A5\u30A4\u30F3\u30B9\u30C8\u30FC\u30EB\u3059\u308B\u3053\u3068\u3067\u30DA\u30FC\u30B8\u306E\u30EC\u30F3\u30C0\u30EA\u30F3\u30B0\u304C\u3088\u308A\u901F\u304F\u306A\u308A\u307E\u3059\u3002",
diff --git a/unpacked/localization/ja/HTML-CSS.js b/unpacked/localization/ja/HTML-CSS.js
index 85d254bf55..8ec21cfa13 100644
--- a/unpacked/localization/ja/HTML-CSS.js
+++ b/unpacked/localization/ja/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ja/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ja","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Web \u30D5\u30A9\u30F3\u30C8 %1 \u3092\u8AAD\u307F\u8FBC\u307F\u4E2D",
diff --git a/unpacked/localization/ja/HelpDialog.js b/unpacked/localization/ja/HelpDialog.js
index 51527620b7..ca2c5aa785 100644
--- a/unpacked/localization/ja/HelpDialog.js
+++ b/unpacked/localization/ja/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ja/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ja","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "MathJax \u30D8\u30EB\u30D7",
diff --git a/unpacked/localization/ja/MathML.js b/unpacked/localization/ja/MathML.js
index 45574f7844..c82c17c978 100644
--- a/unpacked/localization/ja/MathML.js
+++ b/unpacked/localization/ja/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ja/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ja","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "\u8AA4\u3063\u305F mglyph: %1",
diff --git a/unpacked/localization/ja/MathMenu.js b/unpacked/localization/ja/MathMenu.js
index a9c5ddb408..df96a18958 100644
--- a/unpacked/localization/ja/MathMenu.js
+++ b/unpacked/localization/ja/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ja/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ja","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u6570\u5F0F\u3092\u6B21\u306E\u5F62\u5F0F\u3067\u8868\u793A",
diff --git a/unpacked/localization/ja/TeX.js b/unpacked/localization/ja/TeX.js
index c76358b75d..8fad79ef20 100644
--- a/unpacked/localization/ja/TeX.js
+++ b/unpacked/localization/ja/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ja/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ja","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u958B\u304D\u4E2D\u62EC\u5F27\u304C\u4F59\u5206\u3001\u307E\u305F\u306F\u9589\u3058\u4E2D\u62EC\u5F27\u304C\u4E0D\u8DB3\u3057\u3066\u3044\u307E\u3059",
diff --git a/unpacked/localization/ja/ja.js b/unpacked/localization/ja/ja.js
index 85c64005c6..0d92f1bf1d 100644
--- a/unpacked/localization/ja/ja.js
+++ b/unpacked/localization/ja/ja.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ja/ja.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("ja",null,{
   menuTitle: "\u65E5\u672C\u8A9E",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax \u306F\u3001\u30E6\u30FC\u30B6\u30FC\u8A2D\u5B9A\u306E Cookie \u3067\u5B9F\u884C\u3059\u3079\u304D\u30B3\u30FC\u30C9\u3092\u691C\u51FA\u3057\u307E\u3057\u305F\u3002\u5B9F\u884C\u3057\u307E\u3059\u304B?\n\n(Cookie \u3092\u81EA\u5206\u3067\u8A2D\u5B9A\u3057\u3066\u3044\u306A\u3044\u5834\u5408\u306F\u30AD\u30E3\u30F3\u30BB\u30EB\u3057\u3066\u304F\u3060\u3055\u3044\u3002)",
diff --git a/unpacked/localization/kn/FontWarnings.js b/unpacked/localization/kn/FontWarnings.js
index 43381ae5b7..6e6b936a6e 100644
--- a/unpacked/localization/kn/FontWarnings.js
+++ b/unpacked/localization/kn/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/kn/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("kn","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "\u0CAE\u0CBE\u0CA4\u0CCD \u0C9D\u0C95\u0CCD\u0CB7\u0CCD \u0C88 \u0CAA\u0CC1\u0C9F\u0CA6\u0CB2\u0CCD\u0CB2\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0CAA\u0CCD\u0CB0\u0CA6\u0CB0\u0CCD\u0CB6\u0CBF\u0CB8\u0CB2\u0CC1 \u0CB5\u0CC6\u0CAC\u0CCD \u0C86\u0CA7\u0CBE\u0CB0\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAC\u0CB3\u0CB8\u0CBF \u0C87\u0CA6\u0CC6. \u0C88 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CB8\u0CAE\u0CAF \u0CA4\u0CC6\u0C97\u0CC6\u0CA6\u0CC1\u0C95\u0CCA\u0CB3\u0CCD\u0CB3\u0CAC\u0CB9\u0CC1\u0CA6\u0CC1, \u0C86\u0CA6\u0CCD\u0CA6\u0CB0\u0CBF\u0C82\u0CA6 \u0CA8\u0CC0\u0CB5\u0CC1 \u0CA8\u0CBF\u0CAE\u0CCD\u0CAE \u0C97\u0CA3\u0C95\u0CA6 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD \u0CAB\u0CCB\u0CB2\u0CCD\u0CA1\u0CB0\u0CCD\u0CA8\u0CB2\u0CCD\u0CB2\u0CBF \u0CA8\u0CC7\u0CB0\u0CB5\u0CBE\u0C97\u0CBF \u0C97\u0CA3\u0CBF\u0CA4 \u0CAB\u0CBE\u0C82\u0C9F\u0CCD\u0C97\u0CB3\u0CC1 \u0C87\u0CA8\u0CCD\u0CB8\u0CCD\u0C9F\u0CBE\u0CB2\u0CCD \u0CB5\u0CC7\u0CB3\u0CC6 \u0CAA\u0CC1\u0C9F \u0CB5\u0CC7\u0C97\u0CB5\u0CBE\u0C97\u0CBF \u0CA8\u0CBF\u0CB0\u0CC2\u0CAA\u0CBF\u0CB8\u0CB2\u0CC1 \u0C8E\u0C82\u0CA6\u0CC1.",
diff --git a/unpacked/localization/kn/HTML-CSS.js b/unpacked/localization/kn/HTML-CSS.js
index b6127f0d08..99f9977edc 100644
--- a/unpacked/localization/kn/HTML-CSS.js
+++ b/unpacked/localization/kn/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/kn/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("kn","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u0CB5\u0CC6\u0CAC\u0CCD \u0CAB\u0CBE\u0C82\u0C9F\u0CCD  %1 \u0C85\u0CA8\u0CCD\u0CA8\u0CC1 \u0CA1\u0CCC\u0CA8\u0CCD\u0CB2\u0CCB\u0CA1\u0CCD \u0CAE\u0CBE\u0CA1\u0CC1\u0CA4 \u0C89\u0C82\u0C9F\u0CC1",
diff --git a/unpacked/localization/kn/HelpDialog.js b/unpacked/localization/kn/HelpDialog.js
index 9804acd7ac..dcba79ab66 100644
--- a/unpacked/localization/kn/HelpDialog.js
+++ b/unpacked/localization/kn/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/kn/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("kn","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "\u0CAE\u0CBE\u0CA4\u0CCD \u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0CB8\u0CB9\u0CAF\u0CA4\u0CC6",
diff --git a/unpacked/localization/kn/MathML.js b/unpacked/localization/kn/MathML.js
index 972bea1b01..3ef1f35ff9 100644
--- a/unpacked/localization/kn/MathML.js
+++ b/unpacked/localization/kn/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/kn/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("kn","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "\u0C95\u0CC6\u0C9F\u0CCD\u0C9F mglyph:  %1",
diff --git a/unpacked/localization/kn/MathMenu.js b/unpacked/localization/kn/MathMenu.js
index e9b9e0736d..992a5603ec 100644
--- a/unpacked/localization/kn/MathMenu.js
+++ b/unpacked/localization/kn/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/kn/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("kn","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u0C97\u0CA3\u0CBF\u0CA4 \u0CB5\u0CA8\u0CCD\u0CA8\u0CC1 \u0CB9\u0CC7\u0C97\u0CC6 \u0CA4\u0CCB\u0CB0\u0CBF\u0CB8\u0CB2\u0CBF?",
diff --git a/unpacked/localization/kn/TeX.js b/unpacked/localization/kn/TeX.js
index dab301bb7b..43ddff7351 100644
--- a/unpacked/localization/kn/TeX.js
+++ b/unpacked/localization/kn/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/kn/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("kn","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u0CB9\u0CC6\u0C9A\u0CCD\u0C9A\u0CBF\u0CA8 \u0CAE\u0CC1\u0C82\u0CAD\u0CBE\u0C97 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD \u0C85\u0CA5\u0CB5 \u0C95\u0CA1\u0CBF\u0CAE\u0CC6 \u0CAE\u0CC1\u0C9A\u0CCD\u0C9A\u0CA6 \u0CAC\u0CCD\u0CB0\u0CC7\u0CB8\u0CCD",
diff --git a/unpacked/localization/kn/kn.js b/unpacked/localization/kn/kn.js
index 7decc1d535..b032aa116d 100644
--- a/unpacked/localization/kn/kn.js
+++ b/unpacked/localization/kn/kn.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/kn/kn.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("kn",null,{
   menuTitle: "\u0C95\u0CA8\u0CCD\u0CA8\u0CA1",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "\u0CAE\u0CA5\u0CCD\u0C9C\u0C95\u0CCD\u0CB7\u0CCD \u0C87\u0C97\u0CC6  \u0C92\u0C82\u0CA6\u0CC1 \u0CB8\u0CA6\u0CB8\u0CCD\u0CAF \u0C9A\u0CCA\u0CA8\u0CCD\u0CAB\u0CBC\u0CBF\u0C97\u0CC1\u0CB0\u0CA4\u0CBF\u0C92\u0CA8\u0CCD \u0C95\u0CC1\u0C95\u0CC0 \u0CB8\u0CBF\u0C95\u0CCD\u0C95\u0CBF\u0CA6\u0CC6. \u0C85\u0CA6\u0CCD\u0CA6\u0CA8\u0CCD\u0CA8 \u0CB0\u0CA8\u0CCD \u0CAE\u0CBE\u0CA1\u0CAC\u0CC7\u0C95?   \n\n(\u0CA8\u0CC0\u0CB5\u0CC7 \u0C85\u0CA6\u0CA8\u0CCD\u0CA8 \u0CB8\u0CC6\u0C9F\u0CCD \u0C85\u0CAA\u0CCD \u0CAE\u0CBE\u0CA1\u0CBF\u0CA6\u0CC1 \u0C85\u0CB2\u0CCD\u0CB2 \u0C86\u0CA6\u0CB0\u0CC6 \"Cancel\" \u0C85\u0CA5\u0CB5\u0CBE \"\u0CB0\u0CA6\u0CCD\u0CA6\u0CC1\" \u0CB5\u0CA4\u0CCD\u0CA4\u0CBF.)",
diff --git a/unpacked/localization/ko/FontWarnings.js b/unpacked/localization/ko/FontWarnings.js
index 1c05ad9edf..983c716ed1 100644
--- a/unpacked/localization/ko/FontWarnings.js
+++ b/unpacked/localization/ko/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ko/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ko","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax\uB294 \uBB38\uC11C\uC758 \uC218\uC2DD\uC744 \uD45C\uD604\uD558\uAE30 \uC704\uD574 \uC6F9 \uAE30\uBC18 \uD3F0\uD2B8\uB97C \uC0AC\uC6A9\uD569\uB2C8\uB2E4. \uB2E4\uC6B4\uB85C\uB4DC\uD558\uB294\uB370 \uC2DC\uAC04\uC774 \uAC78\uB9AC\uC9C0\uB9CC, \uC2DC\uC2A4\uD15C \uD3F0\uD2B8 \uD3F4\uB354\uC5D0 \uC218\uC2DD \uD3F0\uD2B8\uAC00 \uC124\uCE58\uB418\uC5B4 \uC788\uB2E4\uBA74 \uBB38\uC11C\uAC00 \uB354 \uBE68\uB9AC \uD45C\uC2DC\uB420 \uAC83\uC785\uB2C8\uB2E4.",
diff --git a/unpacked/localization/ko/HTML-CSS.js b/unpacked/localization/ko/HTML-CSS.js
index f702976402..e1fd0d9681 100644
--- a/unpacked/localization/ko/HTML-CSS.js
+++ b/unpacked/localization/ko/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ko/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ko","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "%1 \uC6F9\uD3F0\uD2B8\uB97C \uBD88\uB7EC\uC624\uACE0 \uC788\uC2B5\uB2C8\uB2E4...",
diff --git a/unpacked/localization/ko/HelpDialog.js b/unpacked/localization/ko/HelpDialog.js
index 3bfa885abb..5fee5fa4e9 100644
--- a/unpacked/localization/ko/HelpDialog.js
+++ b/unpacked/localization/ko/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ko/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ko","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "MathJax \uB3C4\uC6C0\uB9D0",
diff --git a/unpacked/localization/ko/MathML.js b/unpacked/localization/ko/MathML.js
index 4a82fe4a79..1e6d815730 100644
--- a/unpacked/localization/ko/MathML.js
+++ b/unpacked/localization/ko/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ko/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ko","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/ko/MathMenu.js b/unpacked/localization/ko/MathMenu.js
index 926dba8da6..e9c723a310 100644
--- a/unpacked/localization/ko/MathMenu.js
+++ b/unpacked/localization/ko/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ko/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ko","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\uC218\uC2DD \uBCF4\uAE30",
diff --git a/unpacked/localization/ko/TeX.js b/unpacked/localization/ko/TeX.js
index 310ee06778..2a79aa6bd4 100644
--- a/unpacked/localization/ko/TeX.js
+++ b/unpacked/localization/ko/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ko/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ko","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\uB2EB\uD788\uC9C0 \uC54A\uC740 \uC5EC\uB294 \uAD04\uD638\uAC00 \uC788\uC2B5\uB2C8\uB2E4.",
diff --git a/unpacked/localization/ko/ko.js b/unpacked/localization/ko/ko.js
index 0481f643d3..872cae4c91 100644
--- a/unpacked/localization/ko/ko.js
+++ b/unpacked/localization/ko/ko.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ko/ko.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("ko",null,{
   menuTitle: "\uD55C\uAD6D\uC5B4",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax\uAC00 \uC2E4\uD589\uD560 \uCF54\uB4DC\uB97C \uD3EC\uD568\uD558\uB294 \uC0AC\uC6A9\uC790-\uC124\uC815 \uCFE0\uD0A4\uB97C \uCC3E\uC558\uC2B5\uB2C8\uB2E4. \uC2E4\uD589\uD558\uACA0\uC2B5\uB2C8\uAE4C?\n\n(\uCFE0\uD0A4\uB97C \uC2A4\uC2A4\uB85C \uC124\uC815\uD558\uC9C0 \uC54A\uC73C\uBA74 \uCDE8\uC18C\uB97C \uB20C\uB7EC\uC57C \uD569\uB2C8\uB2E4.)",
diff --git a/unpacked/localization/lb/FontWarnings.js b/unpacked/localization/lb/FontWarnings.js
index a39510b4e7..bb9908abda 100644
--- a/unpacked/localization/lb/FontWarnings.js
+++ b/unpacked/localization/lb/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lb/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lb","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/lb/HTML-CSS.js b/unpacked/localization/lb/HTML-CSS.js
index 644ed823c7..df7dd4cc5c 100644
--- a/unpacked/localization/lb/HTML-CSS.js
+++ b/unpacked/localization/lb/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lb/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lb","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/lb/HelpDialog.js b/unpacked/localization/lb/HelpDialog.js
index 5ebc57d5af..fb7c7375cc 100644
--- a/unpacked/localization/lb/HelpDialog.js
+++ b/unpacked/localization/lb/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lb/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lb","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/lb/MathML.js b/unpacked/localization/lb/MathML.js
index 769e77f74f..07447542f3 100644
--- a/unpacked/localization/lb/MathML.js
+++ b/unpacked/localization/lb/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lb/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lb","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/lb/MathMenu.js b/unpacked/localization/lb/MathMenu.js
index 4241476ddf..2c8a93a251 100644
--- a/unpacked/localization/lb/MathMenu.js
+++ b/unpacked/localization/lb/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lb/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lb","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathMLcode: "MathML Code",
diff --git a/unpacked/localization/lb/TeX.js b/unpacked/localization/lb/TeX.js
index d9626de8b3..1d38753a66 100644
--- a/unpacked/localization/lb/TeX.js
+++ b/unpacked/localization/lb/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lb/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lb","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/lb/lb.js b/unpacked/localization/lb/lb.js
index 06ae007325..cae1cc7300 100644
--- a/unpacked/localization/lb/lb.js
+++ b/unpacked/localization/lb/lb.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lb/lb.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("lb",null,{
   menuTitle: "L\u00EBtzebuergesch",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathError: "Math Feeler",
diff --git a/unpacked/localization/lki/FontWarnings.js b/unpacked/localization/lki/FontWarnings.js
index 548a3e2c41..9263169359 100644
--- a/unpacked/localization/lki/FontWarnings.js
+++ b/unpacked/localization/lki/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lki/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lki","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax \u0627\u0632 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0648\u0628\u06CC \u0628\u0631\u0627\u06CC \u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u062F\u0631 \u0627\u06CC\u0646 \u0635\u0641\u062D\u0647 \u0627\u0633\u062A\u0641\u0627\u062F\u0647 \u0645\u06CC\u200C\u06A9\u0646\u062F. \u0627\u06CC\u0646 \u0645\u0645\u06A9\u0646 \u0627\u0633\u062A \u0632\u0645\u0627\u0646\u06CC \u062C\u0647\u062A \u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0628\u06AF\u06CC\u0631\u062F \u0628\u0646\u0627\u0628\u0631\u0627\u06CC\u0646 \u0627\u06AF\u0631 \u0634\u0645\u0627 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0631\u06CC\u0627\u0636\u06CC \u0631\u0627 \u0628\u0647\u200C\u0635\u0648\u0631\u062A \u0645\u0633\u062A\u0642\u06CC\u0645 \u062F\u0631 \u067E\u0648\u0634\u0647\u0654 \u0642\u0644\u0645\u200C\u0647\u0627\u06CC \u0633\u06CC\u0633\u062A\u0645\u200C\u0639\u0627\u0645\u0644 \u062E\u0648\u062F \u0642\u0631\u0627\u0631 \u062F\u0647\u06CC\u062F \u0646\u0645\u0627\u06CC\u0634 \u0635\u0641\u062D\u0627\u062A \u0633\u0631\u06CC\u0639\u062A\u0631 \u062E\u0648\u0627\u0647\u0646\u062F \u0634\u062F.",
diff --git a/unpacked/localization/lki/HTML-CSS.js b/unpacked/localization/lki/HTML-CSS.js
index c0380f0693..cb8c7dbe8b 100644
--- a/unpacked/localization/lki/HTML-CSS.js
+++ b/unpacked/localization/lki/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lki/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lki","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u0628\u0627\u0631\u06AF\u06CC\u0631\u06CC \u0642\u0644\u0645 \u0648\u0628\u06CC %1",
diff --git a/unpacked/localization/lki/HelpDialog.js b/unpacked/localization/lki/HelpDialog.js
index 0f4a169479..94185e17f6 100644
--- a/unpacked/localization/lki/HelpDialog.js
+++ b/unpacked/localization/lki/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lki/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lki","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "\u0631\u0627\u0647\u0646\u0645\u0627\u06CC MathJax",
diff --git a/unpacked/localization/lki/MathML.js b/unpacked/localization/lki/MathML.js
index 16aad13c5e..505de36808 100644
--- a/unpacked/localization/lki/MathML.js
+++ b/unpacked/localization/lki/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lki/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lki","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "mglyph \u0646\u0627\u0645\u0646\u0627\u0633\u0628: %1",
diff --git a/unpacked/localization/lki/MathMenu.js b/unpacked/localization/lki/MathMenu.js
index d316c3d585..2a86bfbb01 100644
--- a/unpacked/localization/lki/MathMenu.js
+++ b/unpacked/localization/lki/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lki/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lki","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u0646\u0645\u0627\u06CC\u0634 \u0631\u06CC\u0627\u0636\u06CC\u0627\u062A \u0628\u0647 \u0639\u0646\u0648\u0627\u0646",
diff --git a/unpacked/localization/lki/TeX.js b/unpacked/localization/lki/TeX.js
index e60eb5a718..40f4164cca 100644
--- a/unpacked/localization/lki/TeX.js
+++ b/unpacked/localization/lki/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lki/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lki","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0627\u0632 \u0627\u0636\u0627\u0641\u06CC \u06CC\u0627 \u0641\u0642\u062F\u0627\u0646 \u0622\u06A9\u0648\u0644\u0627\u062F \u0628\u0633\u062A\u0647",
diff --git a/unpacked/localization/lki/lki.js b/unpacked/localization/lki/lki.js
index c5eaf58e42..6c7864a068 100644
--- a/unpacked/localization/lki/lki.js
+++ b/unpacked/localization/lki/lki.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lki/lki.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -20,11 +20,11 @@
 MathJax.Localization.addTranslation("lki",null,{
   menuTitle: "\u0644\u06D5\u06A9\u06CC",
   fontDirection: "rtl",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "\u062E\u0637\u0627\u06CC \u067E\u0631\u062F\u0627\u0632\u0634 \u0631\u06CC\u0627\u0636\u06CC",
diff --git a/unpacked/localization/lt/FontWarnings.js b/unpacked/localization/lt/FontWarnings.js
index bf17dc60b9..aa4f876b47 100644
--- a/unpacked/localization/lt/FontWarnings.js
+++ b/unpacked/localization/lt/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lt/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lt","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "\u0160iame tinklalapyje matematikos tekst\u0105 \u201EMathJax\u201C rodo tinkle saugomais \u0161riftais, kuriems \u012Fkelti reikia laiko. Teksto rinkim\u0105 galima greitinti, matematikos \u0161riftus \u012Fdiegus naudotojo kompiuteryje.",
diff --git a/unpacked/localization/lt/HTML-CSS.js b/unpacked/localization/lt/HTML-CSS.js
index 9269cf1e23..ccce27d646 100644
--- a/unpacked/localization/lt/HTML-CSS.js
+++ b/unpacked/localization/lt/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lt/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lt","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u012Ekeliamas tinklo \u0161riftas %1",
diff --git a/unpacked/localization/lt/HelpDialog.js b/unpacked/localization/lt/HelpDialog.js
index 31cb677990..56655b4820 100644
--- a/unpacked/localization/lt/HelpDialog.js
+++ b/unpacked/localization/lt/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lt/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lt","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "MathJax Pagalba",
diff --git a/unpacked/localization/lt/MathML.js b/unpacked/localization/lt/MathML.js
index f0a9007e44..be6a77f20c 100644
--- a/unpacked/localization/lt/MathML.js
+++ b/unpacked/localization/lt/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lt/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lt","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "Netinkamas matematikos glifas: %1",
diff --git a/unpacked/localization/lt/MathMenu.js b/unpacked/localization/lt/MathMenu.js
index 0ed5ffc617..4155211037 100644
--- a/unpacked/localization/lt/MathMenu.js
+++ b/unpacked/localization/lt/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lt/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lt","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Rodyti",
diff --git a/unpacked/localization/lt/TeX.js b/unpacked/localization/lt/TeX.js
index ec1b9ddabb..a958ec61ba 100644
--- a/unpacked/localization/lt/TeX.js
+++ b/unpacked/localization/lt/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lt/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("lt","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Per daug atidarom\u0173j\u0173 arba per ma\u017Eai u\u017Edarom\u0173j\u0173 riestini\u0173 skliausteli\u0173",
diff --git a/unpacked/localization/lt/lt.js b/unpacked/localization/lt/lt.js
index 20e451cd00..0f13e1a872 100644
--- a/unpacked/localization/lt/lt.js
+++ b/unpacked/localization/lt/lt.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/lt/lt.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("lt",null,{
   menuTitle: "lietuvi\u0173",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "Matematikos apdorojimo klaida",
diff --git a/unpacked/localization/mk/FontWarnings.js b/unpacked/localization/mk/FontWarnings.js
index caa5aec70a..6f284a5934 100644
--- a/unpacked/localization/mk/FontWarnings.js
+++ b/unpacked/localization/mk/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/mk/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("mk","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax \u043A\u043E\u0440\u0438\u0441\u0442\u0438 \u043C\u0440\u0435\u0436\u043D\u0438 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u0437\u0430 \u0438\u0441\u043F\u0438\u0441 \u043D\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043A\u0438\u0442\u0435 \u0441\u043E\u0434\u0440\u0436\u0438\u043D\u0438 \u043D\u0430 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0432\u0430. \u041D\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438\u0442\u0435 \u0438\u043C \u0442\u0440\u0435\u0431\u0430 \u0432\u0440\u0435\u043C\u0435 \u0434\u0430 \u0441\u0435 \u0432\u0447\u0438\u0442\u0430\u0430\u0442, \u043F\u0430 \u0442\u0430\u043A\u0430, \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0430\u0442\u0430 \u0431\u0438 \u0441\u0435 \u043F\u0440\u0438\u043A\u0430\u0436\u0430\u043B\u0430 \u043F\u043E\u0431\u0440\u0433\u0443 \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u0433\u0438 \u043F\u0440\u0435\u0437\u0435\u043C\u0435\u0442\u0435 \u043D\u0435\u043F\u043E\u0441\u0440\u0435\u0434\u043D\u043E \u0432\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u0441\u043A\u0430\u0442\u0430 \u043F\u0430\u043F\u043A\u0430 \u0437\u0430 \u0444\u043E\u043D\u0442\u043E\u0432\u0438 \u043D\u0430 \u0432\u0430\u0448\u0438\u043E\u0442 \u0441\u043C\u0435\u0442\u0430\u0447.",
diff --git a/unpacked/localization/mk/HTML-CSS.js b/unpacked/localization/mk/HTML-CSS.js
index cdcf139205..0452b495e2 100644
--- a/unpacked/localization/mk/HTML-CSS.js
+++ b/unpacked/localization/mk/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/mk/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("mk","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u0413\u043E \u0432\u0447\u0438\u0442\u0443\u0432\u0430\u043C \u043C\u0440\u0435\u0436\u043D\u0438\u043E\u0442 \u0444\u043E\u043D\u0442 %1",
diff --git a/unpacked/localization/mk/HelpDialog.js b/unpacked/localization/mk/HelpDialog.js
index 867b182b14..0dfe404b7b 100644
--- a/unpacked/localization/mk/HelpDialog.js
+++ b/unpacked/localization/mk/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/mk/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("mk","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "\u041F\u043E\u043C\u043E\u0448 \u0441\u043E MathJax",
diff --git a/unpacked/localization/mk/MathML.js b/unpacked/localization/mk/MathML.js
index cbfa3fb998..2537f413f2 100644
--- a/unpacked/localization/mk/MathML.js
+++ b/unpacked/localization/mk/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/mk/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("mk","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "\u0413\u0440\u0435\u0448\u0435\u043D mglyph: %1",
diff --git a/unpacked/localization/mk/MathMenu.js b/unpacked/localization/mk/MathMenu.js
index 0f82d7ab48..2e5808733c 100644
--- a/unpacked/localization/mk/MathMenu.js
+++ b/unpacked/localization/mk/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/mk/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("mk","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u041F\u0440\u0438\u043A\u0430\u0436\u0438 \u0458\u0430 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0430\u0442\u0430 \u043A\u0430\u043A\u043E",
diff --git a/unpacked/localization/mk/TeX.js b/unpacked/localization/mk/TeX.js
index 51db0aacf8..e77af63f60 100644
--- a/unpacked/localization/mk/TeX.js
+++ b/unpacked/localization/mk/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/mk/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("mk","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u0418\u043C\u0430\u0442\u0435 \u043D\u0435\u043F\u043E\u0442\u0440\u0435\u0431\u043D\u0430 \u043F\u043E\u0447\u0435\u0442\u043D\u0430 \u0437\u0430\u0433\u0440\u0430\u0434\u0430 \u0438\u043B\u0438 \u043D\u0435\u0434\u043E\u0441\u0442\u0430\u0441\u0443\u0432\u0430 \u0437\u0430\u0432\u0440\u0448\u043D\u0430",
diff --git a/unpacked/localization/mk/mk.js b/unpacked/localization/mk/mk.js
index 42a3af6d6c..ef353ff28f 100644
--- a/unpacked/localization/mk/mk.js
+++ b/unpacked/localization/mk/mk.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/mk/mk.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("mk",null,{
   menuTitle: "\u043C\u0430\u043A\u0435\u0434\u043E\u043D\u0441\u043A\u0438",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax \u043F\u0440\u043E\u043D\u0430\u0458\u0434\u0435 \u043A\u043E\u043B\u0430\u0447\u0435 \u0441\u043E \u043A\u043E\u0440\u0438\u0441\u043D\u0438\u0447\u043A\u0438 \u043F\u043E\u0441\u0442\u0430\u0432\u043A\u0438 \u043A\u043E\u0435 \u0441\u043E\u0434\u0440\u0436\u0438 \u043A\u043E\u0434 \u0448\u0442\u043E \u0442\u0440\u0435\u0431\u0430 \u0434\u0430 \u0441\u0435 \u043F\u0443\u0448\u0442\u0438. \u0421\u0430\u043A\u0430\u0442\u0435 \u0434\u0430 \u0433\u043E \u043F\u0443\u0448\u0442\u0438\u0442\u0435?\n\n(\u0421\u0442\u0438\u0441\u043D\u0435\u0442\u0435 \u043D\u0430 \u201E\u041E\u0442\u043A\u0430\u0436\u0438\u201C \u0434\u043E\u043A\u043E\u043B\u043A\u0443 \u043D\u0435 \u0441\u0442\u0435 \u0433\u043E \u043F\u043E\u0441\u0442\u0430\u0432\u0438\u043B\u0435 \u043A\u043E\u043B\u0430\u0447\u0435\u0442\u043E \u0432\u0438\u0435 \u0441\u0430\u043C\u0438\u0442\u0435.)",
diff --git a/unpacked/localization/nl/FontWarnings.js b/unpacked/localization/nl/FontWarnings.js
index 098a57365e..21b36faf4c 100644
--- a/unpacked/localization/nl/FontWarnings.js
+++ b/unpacked/localization/nl/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/nl/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("nl","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax gebruikt web-gebaseerde lettertypes om wiskunde weer te geven op deze pagina. Het kost tijd om deze te downloaden, dus de pagina zou sneller weergegeven worden als u de wiskunde lettertypes direct in de lettertype map van uw systeem zou plaatsen.",
diff --git a/unpacked/localization/nl/HTML-CSS.js b/unpacked/localization/nl/HTML-CSS.js
index c57be4ba49..f4e1233223 100644
--- a/unpacked/localization/nl/HTML-CSS.js
+++ b/unpacked/localization/nl/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/nl/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("nl","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Weblettertype %1 aan het laden",
diff --git a/unpacked/localization/nl/HelpDialog.js b/unpacked/localization/nl/HelpDialog.js
index d87c58b44b..c5e9d98fbf 100644
--- a/unpacked/localization/nl/HelpDialog.js
+++ b/unpacked/localization/nl/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/nl/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("nl","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "MathJax-hulp",
diff --git a/unpacked/localization/nl/MathML.js b/unpacked/localization/nl/MathML.js
index d26c95b94f..354a896c0a 100644
--- a/unpacked/localization/nl/MathML.js
+++ b/unpacked/localization/nl/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/nl/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("nl","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "Onjuiste mglyph: %1",
diff --git a/unpacked/localization/nl/MathMenu.js b/unpacked/localization/nl/MathMenu.js
index 94683e1212..8071e229a6 100644
--- a/unpacked/localization/nl/MathMenu.js
+++ b/unpacked/localization/nl/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/nl/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("nl","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Wiskunde weergeven als",
diff --git a/unpacked/localization/nl/TeX.js b/unpacked/localization/nl/TeX.js
index 482cb9edf8..83beb94732 100644
--- a/unpacked/localization/nl/TeX.js
+++ b/unpacked/localization/nl/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/nl/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("nl","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Overtollige openende accolade of ontbrekende afsluitende accolade",
diff --git a/unpacked/localization/nl/nl.js b/unpacked/localization/nl/nl.js
index e9f8c66b10..ff54e1af63 100644
--- a/unpacked/localization/nl/nl.js
+++ b/unpacked/localization/nl/nl.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/nl/nl.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("nl",null,{
   menuTitle: "Nederlands",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax heeft een gebruikersconfiguratie cookie aangetroffen dat code bevat die uitgevoerd moet worden. Wilt u deze uitvoeren?\n\\n\n(U zou op annuleren moeten drukken tenzij u het cookie zelf ingesteld heeft.)",
diff --git a/unpacked/localization/oc/FontWarnings.js b/unpacked/localization/oc/FontWarnings.js
index 3fcf3be802..65aee63588 100644
--- a/unpacked/localization/oc/FontWarnings.js
+++ b/unpacked/localization/oc/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/oc/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("oc","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/oc/HTML-CSS.js b/unpacked/localization/oc/HTML-CSS.js
index a3246c66d5..6ce28ba068 100644
--- a/unpacked/localization/oc/HTML-CSS.js
+++ b/unpacked/localization/oc/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/oc/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("oc","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/oc/HelpDialog.js b/unpacked/localization/oc/HelpDialog.js
index f8bf4dc728..233eb8d2b8 100644
--- a/unpacked/localization/oc/HelpDialog.js
+++ b/unpacked/localization/oc/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/oc/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("oc","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/oc/MathML.js b/unpacked/localization/oc/MathML.js
index eb9a32ea4d..b916b302b0 100644
--- a/unpacked/localization/oc/MathML.js
+++ b/unpacked/localization/oc/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/oc/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("oc","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/oc/MathMenu.js b/unpacked/localization/oc/MathMenu.js
index 98255961f7..b5393e8962 100644
--- a/unpacked/localization/oc/MathMenu.js
+++ b/unpacked/localization/oc/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/oc/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("oc","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Afichar jos la forma",
diff --git a/unpacked/localization/oc/TeX.js b/unpacked/localization/oc/TeX.js
index 699a04caae..6d65d99d63 100644
--- a/unpacked/localization/oc/TeX.js
+++ b/unpacked/localization/oc/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/oc/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("oc","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/oc/oc.js b/unpacked/localization/oc/oc.js
index cbd576aca6..eaee41080c 100644
--- a/unpacked/localization/oc/oc.js
+++ b/unpacked/localization/oc/oc.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/oc/oc.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("oc",null,{
   menuTitle: "occitan",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "Error de tractament de la formula matematica",
diff --git a/unpacked/localization/pl/FontWarnings.js b/unpacked/localization/pl/FontWarnings.js
index b302978b45..e75178f24e 100644
--- a/unpacked/localization/pl/FontWarnings.js
+++ b/unpacked/localization/pl/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pl/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pl","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax u\u017Cywa czcionek Web, aby wy\u015Bwietli\u0107 wzory matematyczne na tej stronie. Pobranie czcionek z sieci zajmuje chwil\u0119. Strona ta mog\u0142aby za\u0142adowa\u0107 si\u0119 szybciej, je\u015Bli zainstalowa\u0142by\u015B czcionki lokalnie w swoim systemie.",
diff --git a/unpacked/localization/pl/HTML-CSS.js b/unpacked/localization/pl/HTML-CSS.js
index 8763c38303..84d1208bcf 100644
--- a/unpacked/localization/pl/HTML-CSS.js
+++ b/unpacked/localization/pl/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pl/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pl","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u0141aduj\u0119 czcionk\u0119 %1",
diff --git a/unpacked/localization/pl/HelpDialog.js b/unpacked/localization/pl/HelpDialog.js
index 5b14838a83..1a0e922ef8 100644
--- a/unpacked/localization/pl/HelpDialog.js
+++ b/unpacked/localization/pl/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pl/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pl","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Pomoc MathJax",
diff --git a/unpacked/localization/pl/MathML.js b/unpacked/localization/pl/MathML.js
index 09b67d4edf..0690f8e7a6 100644
--- a/unpacked/localization/pl/MathML.js
+++ b/unpacked/localization/pl/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pl/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pl","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "B\u0142\u0105d w elemencie mglyph: %1",
diff --git a/unpacked/localization/pl/MathMenu.js b/unpacked/localization/pl/MathMenu.js
index b9ba0eb8b3..5ffec1e90f 100644
--- a/unpacked/localization/pl/MathMenu.js
+++ b/unpacked/localization/pl/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pl/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pl","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Poka\u017C wzory jako",
diff --git a/unpacked/localization/pl/TeX.js b/unpacked/localization/pl/TeX.js
index c79a7f9793..9b388f27a6 100644
--- a/unpacked/localization/pl/TeX.js
+++ b/unpacked/localization/pl/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pl/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pl","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Nadmiarowy nawias otwieraj\u0105cy lub brakuj\u0105cy nawias zamykaj\u0105cy",
diff --git a/unpacked/localization/pl/pl.js b/unpacked/localization/pl/pl.js
index 4978c17da3..aaba7a32b5 100644
--- a/unpacked/localization/pl/pl.js
+++ b/unpacked/localization/pl/pl.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pl/pl.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("pl",null,{
   menuTitle: "polski",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax znalaz\u0142 konfiguracj\u0119 zapisan\u0105 w ciasteczku, kt\u00F3ra zawiera kod do uruchomienia. Czy chcesz go uruchomi\u0107?\n\n(Powiniene\u015B nacisn\u0105\u0107 Anuluj, je\u015Bli to nie Ty stworzy\u0142e\u015B t\u0119 konfiguracj\u0119.)",
diff --git a/unpacked/localization/pt-br/FontWarnings.js b/unpacked/localization/pt-br/FontWarnings.js
index c12da2be69..465f75e36b 100644
--- a/unpacked/localization/pt-br/FontWarnings.js
+++ b/unpacked/localization/pt-br/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt-br/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pt-br","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "O MathJax est\u00E1 utilizando fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. O download delas leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se voc\u00EA instalasse as fontes para matem\u00E1tica diretamente na pasta de fontes do seu sistema.",
diff --git a/unpacked/localization/pt-br/HTML-CSS.js b/unpacked/localization/pt-br/HTML-CSS.js
index 886b95c90a..99f916e3a7 100644
--- a/unpacked/localization/pt-br/HTML-CSS.js
+++ b/unpacked/localization/pt-br/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt-br/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pt-br","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Carregando fonte baseada em web %1",
diff --git a/unpacked/localization/pt-br/HelpDialog.js b/unpacked/localization/pt-br/HelpDialog.js
index 7436b773e5..471b736558 100644
--- a/unpacked/localization/pt-br/HelpDialog.js
+++ b/unpacked/localization/pt-br/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt-br/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pt-br","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Ajuda do MathJax",
diff --git a/unpacked/localization/pt-br/MathML.js b/unpacked/localization/pt-br/MathML.js
index e87c5ff138..0909b15187 100644
--- a/unpacked/localization/pt-br/MathML.js
+++ b/unpacked/localization/pt-br/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt-br/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pt-br","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "Mglyph ruim: %1",
diff --git a/unpacked/localization/pt-br/MathMenu.js b/unpacked/localization/pt-br/MathMenu.js
index 18fc4838bd..3ba14de7f0 100644
--- a/unpacked/localization/pt-br/MathMenu.js
+++ b/unpacked/localization/pt-br/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt-br/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pt-br","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Mostrar F\u00F3rmulas Como",
diff --git a/unpacked/localization/pt-br/TeX.js b/unpacked/localization/pt-br/TeX.js
index 05cfbeea77..c96c052ee4 100644
--- a/unpacked/localization/pt-br/TeX.js
+++ b/unpacked/localization/pt-br/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt-br/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pt-br","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Sobrou uma chave de abertura ou faltou uma de fechamento",
diff --git a/unpacked/localization/pt-br/pt-br.js b/unpacked/localization/pt-br/pt-br.js
index 6fc921a7d5..47072ca4e3 100644
--- a/unpacked/localization/pt-br/pt-br.js
+++ b/unpacked/localization/pt-br/pt-br.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt-br/pt-br.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("pt-br",null,{
   menuTitle: "portugu\u00EAs do Brasil",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "O MathJax encontrou um cookie com configura\u00E7\u00F5es de usu\u00E1rio que inclui c\u00F3digo a ser executado. Deseja execut\u00E1-lo?\n\n(Voc\u00EA deve pressionar Cancelar a n\u00E3o ser que voc\u00EA mesmo tenha criado o cookie.)",
diff --git a/unpacked/localization/pt/FontWarnings.js b/unpacked/localization/pt/FontWarnings.js
index f6fd508954..96483b1dd1 100644
--- a/unpacked/localization/pt/FontWarnings.js
+++ b/unpacked/localization/pt/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pt","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "O MathJax est\u00E1 a utilizar fontes baseadas em web para exibir as f\u00F3rmulas matem\u00E1ticas desta p\u00E1gina. A sua descarga leva algum tempo, ent\u00E3o a p\u00E1gina seria renderizada mais rapidamente se instalasse as fontes para matem\u00E1tica diretamente no diret\u00F3rio de fontes do seu sistema.",
diff --git a/unpacked/localization/pt/HTML-CSS.js b/unpacked/localization/pt/HTML-CSS.js
index 9b1aec172a..872fdd5207 100644
--- a/unpacked/localization/pt/HTML-CSS.js
+++ b/unpacked/localization/pt/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pt","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "A carregar fonte baseada em web %1",
diff --git a/unpacked/localization/pt/HelpDialog.js b/unpacked/localization/pt/HelpDialog.js
index cd701d5ed6..608cddbde5 100644
--- a/unpacked/localization/pt/HelpDialog.js
+++ b/unpacked/localization/pt/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pt","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Ajuda do MathJax",
diff --git a/unpacked/localization/pt/MathML.js b/unpacked/localization/pt/MathML.js
index 190faffcc4..156024df35 100644
--- a/unpacked/localization/pt/MathML.js
+++ b/unpacked/localization/pt/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pt","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "Mglyph ruim: %1",
diff --git a/unpacked/localization/pt/MathMenu.js b/unpacked/localization/pt/MathMenu.js
index f334bcec57..af1a5e4e8a 100644
--- a/unpacked/localization/pt/MathMenu.js
+++ b/unpacked/localization/pt/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pt","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Mostrar f\u00F3rmulas como",
diff --git a/unpacked/localization/pt/TeX.js b/unpacked/localization/pt/TeX.js
index 7caa1991ae..a84db12617 100644
--- a/unpacked/localization/pt/TeX.js
+++ b/unpacked/localization/pt/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("pt","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Chaveta de abertura a mais ou chaveta de fecho a menos",
diff --git a/unpacked/localization/pt/pt.js b/unpacked/localization/pt/pt.js
index a7add691f2..f9ce45c457 100644
--- a/unpacked/localization/pt/pt.js
+++ b/unpacked/localization/pt/pt.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/pt/pt.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("pt",null,{
   menuTitle: "portugu\u00EAs",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "Erro no processamento das f\u00F3rmulas",
diff --git a/unpacked/localization/qqq/FontWarnings.js b/unpacked/localization/qqq/FontWarnings.js
index d0f00f5eed..9eaacff229 100644
--- a/unpacked/localization/qqq/FontWarnings.js
+++ b/unpacked/localization/qqq/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/qqq/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("qqq","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "This warning is displayed by the FontWarnings extension when web-based fonts are used.",
diff --git a/unpacked/localization/qqq/HTML-CSS.js b/unpacked/localization/qqq/HTML-CSS.js
index 57cc4e982e..b22c73cbdc 100644
--- a/unpacked/localization/qqq/HTML-CSS.js
+++ b/unpacked/localization/qqq/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/qqq/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("qqq","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "This is displayed in MathJax message box when the HTML-CSS output is loading a Web font.\n\nParameters:\n* %1 - the font name",
diff --git a/unpacked/localization/qqq/HelpDialog.js b/unpacked/localization/qqq/HelpDialog.js
index 592770859f..05b876a53e 100644
--- a/unpacked/localization/qqq/HelpDialog.js
+++ b/unpacked/localization/qqq/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/qqq/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("qqq","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "This is the title displayed at the top of the MathJax Help dialog.",
diff --git a/unpacked/localization/qqq/MathML.js b/unpacked/localization/qqq/MathML.js
index 130f76a447..4034e8dd1d 100644
--- a/unpacked/localization/qqq/MathML.js
+++ b/unpacked/localization/qqq/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/qqq/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("qqq","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "This error is displayed when processing a MathML mglyph element with a bad URL. Parameters:\n* %1 - the value of the src attribute",
diff --git a/unpacked/localization/qqq/MathMenu.js b/unpacked/localization/qqq/MathMenu.js
index 300163ce2b..7e7d39089a 100644
--- a/unpacked/localization/qqq/MathMenu.js
+++ b/unpacked/localization/qqq/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/qqq/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("qqq","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "'Show math as' menu item. MathJax uses 'Math' as a distinct UI choice. Please translate it literally whenever possible.\n\nFollowed by the following menu subitems:\n* {{msg-mathjax|Mathmenu-MathMLcode}}\n* {{msg-mathjax|Mathmenu-Original}}\n* {{msg-mathjax|Mathmenu-Annotation}}\n* {{msg-mathjax|Mathmenu-texHints}} - checkbox label",
diff --git a/unpacked/localization/qqq/TeX.js b/unpacked/localization/qqq/TeX.js
index c043f4e53c..9ae5fde63e 100644
--- a/unpacked/localization/qqq/TeX.js
+++ b/unpacked/localization/qqq/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/qqq/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("qqq","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "This appears in TeX expressions when open and close braces do not match e.g. \u003Ccode\u003E\\( { \\)\u003C/code\u003E\n\nSee also:\n* {{msg-mathjax|Tex-ExtraCloseMissingOpen}}",
diff --git a/unpacked/localization/qqq/qqq.js b/unpacked/localization/qqq/qqq.js
index 8e3d1104cf..f567324286 100644
--- a/unpacked/localization/qqq/qqq.js
+++ b/unpacked/localization/qqq/qqq.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/qqq/qqq.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("qqq",null,{
   menuTitle: "Message Documentation",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "This alert message is displayed when the MathJax cookie contains some data with URL or Config properties. These properties may be used to ask MathJax to perform actions during the Configuration phase: either loading a javascript file (URL property) or executing a configuration function (Config property). Note that the character '\\n' is used to specify new lines inside the alert box.",
diff --git a/unpacked/localization/ru/FontWarnings.js b/unpacked/localization/ru/FontWarnings.js
index af2d30395a..6c91fab285 100644
--- a/unpacked/localization/ru/FontWarnings.js
+++ b/unpacked/localization/ru/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ru/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ru","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax \u043F\u043E\u043A\u0430\u0437\u044B\u0432\u0430\u0435\u0442 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u043D\u0430\u00A0\u044D\u0442\u043E\u0439 \u0441\u0442\u0440\u0430\u043D\u0438\u0446\u0435 \u0441\u00A0\u043F\u043E\u043C\u043E\u0449\u044C\u044E \u0441\u0435\u0442\u0435\u0432\u044B\u0445 \u0448\u0440\u0438\u0444\u0442\u043E\u0432. \u0427\u0442\u043E\u0431\u044B\u00A0\u0443\u0441\u043A\u043E\u0440\u0438\u0442\u044C \u043F\u043E\u043A\u0430\u0437, \u0440\u0435\u043A\u043E\u043C\u0435\u043D\u0434\u0443\u0435\u043C \u0443\u0441\u0442\u0430\u043D\u043E\u0432\u0438\u0442\u044C \u0448\u0440\u0438\u0444\u0442\u044B \u043D\u0430\u00A0\u0412\u0430\u0448\u0435\u0439 \u043C\u0430\u0448\u0438\u043D\u0435.",
diff --git a/unpacked/localization/ru/HTML-CSS.js b/unpacked/localization/ru/HTML-CSS.js
index 1399a1a012..7195321eec 100644
--- a/unpacked/localization/ru/HTML-CSS.js
+++ b/unpacked/localization/ru/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ru/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ru","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u0417\u0430\u0433\u0440\u0443\u0437\u043A\u0430 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0430 %1",
diff --git a/unpacked/localization/ru/HelpDialog.js b/unpacked/localization/ru/HelpDialog.js
index 2b68beff22..5bd0902952 100644
--- a/unpacked/localization/ru/HelpDialog.js
+++ b/unpacked/localization/ru/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ru/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ru","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "\u041F\u043E\u043C\u043E\u0447\u044C \u043F\u043E MathJax",
diff --git a/unpacked/localization/ru/MathML.js b/unpacked/localization/ru/MathML.js
index 2bba7e1e96..7e0368ef0a 100644
--- a/unpacked/localization/ru/MathML.js
+++ b/unpacked/localization/ru/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ru/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ru","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "\u041D\u0435\u0432\u0435\u0440\u043D\u044B\u0439 mglyph\u02D0 %1",
diff --git a/unpacked/localization/ru/MathMenu.js b/unpacked/localization/ru/MathMenu.js
index 1a82b08e91..dba0b658cf 100644
--- a/unpacked/localization/ru/MathMenu.js
+++ b/unpacked/localization/ru/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ru/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ru","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u041F\u043E\u043A\u0430\u0437\u0430\u0442\u044C \u043A\u043E\u0434 \u0444\u043E\u0440\u043C\u0443\u043B\u044B \u0432\u00A0\u0432\u0438\u0434\u0435:",
diff --git a/unpacked/localization/ru/TeX.js b/unpacked/localization/ru/TeX.js
index 91f6c1e770..4b47de364a 100644
--- a/unpacked/localization/ru/TeX.js
+++ b/unpacked/localization/ru/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ru/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("ru","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u041B\u0438\u0448\u043D\u044F\u044F \u043E\u0442\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430 \u0438\u043B\u0438 \u043E\u0442\u0441\u0443\u0442\u0441\u0442\u0432\u0443\u044E\u0449\u0430\u044F \u0437\u0430\u043A\u0440\u044B\u0432\u0430\u044E\u0449\u0430\u044F \u0441\u043A\u043E\u0431\u043A\u0430",
diff --git a/unpacked/localization/ru/ru.js b/unpacked/localization/ru/ru.js
index e3e8f441f8..13bdc15dc9 100644
--- a/unpacked/localization/ru/ru.js
+++ b/unpacked/localization/ru/ru.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/ru/ru.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("ru",null,{
   menuTitle: "\u0440\u0443\u0441\u0441\u043A\u0438\u0439",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax \u043D\u0430\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043F\u043E\u043B\u044C\u0437\u043E\u0432\u0430\u0442\u0435\u043B\u044C\u0441\u043A\u043E\u0439 \u043D\u0430\u0441\u0442\u0440\u043E\u0439\u043A\u0438, \u043A\u043E\u0442\u043E\u0440\u0430\u044F \u0441\u043E\u0434\u0435\u0440\u0436\u0438\u0442 \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0430. \u0412\u044B \u0445\u043E\u0442\u0438\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u044C \u0435\u0433\u043E?\n\n(\u0412\u044B \u0434\u043E\u043B\u0436\u043D\u044B \u043D\u0430\u0436\u0430\u0442\u044C \u041E\u0442\u043C\u0435\u043D\u0430, \u0435\u0441\u043B\u0438 \u0432\u044B \u0441\u0430\u043C\u043E\u0441\u0442\u043E\u044F\u0442\u0435\u043B\u044C\u043D\u043E \u043D\u0430\u0441\u0442\u0440\u043E\u0438\u043B\u0438 \u0444\u0430\u0439\u043B \u043A\u0443\u043A\u0438).",
diff --git a/unpacked/localization/scn/FontWarnings.js b/unpacked/localization/scn/FontWarnings.js
index d0086426a5..f6b654fa75 100644
--- a/unpacked/localization/scn/FontWarnings.js
+++ b/unpacked/localization/scn/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/scn/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("scn","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax sta adupirannu tipi di car\u00E0ttiri scarricati di Internet p'ammmustrari la matim\u00E0tica nta sta p\u00E0ggina. Scarricari sti tipi si pigghia tempu, dunca sta p\u00E0ggina si purr\u00ECa mpagginari cchi\u00F9 viloci si li tipi di car\u00E0ttiri p\u00E2 matim\u00E0tica f\u00F9ssiru istallati direttamenti nt\u00E2 cartella d\u00EE car\u00E0ttiri d\u00FB t\u00F2 sistema.",
diff --git a/unpacked/localization/scn/HTML-CSS.js b/unpacked/localization/scn/HTML-CSS.js
index e953c70514..09e2cd5b2a 100644
--- a/unpacked/localization/scn/HTML-CSS.js
+++ b/unpacked/localization/scn/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/scn/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("scn","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Scarricamentu d\u00FB tipu di car\u00E0ttiri web %1",
diff --git a/unpacked/localization/scn/HelpDialog.js b/unpacked/localization/scn/HelpDialog.js
index 32ab2252bc..1654576bbc 100644
--- a/unpacked/localization/scn/HelpDialog.js
+++ b/unpacked/localization/scn/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/scn/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("scn","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Guida di MathJax",
diff --git a/unpacked/localization/scn/MathML.js b/unpacked/localization/scn/MathML.js
index 7c66d435a4..fa59110d46 100644
--- a/unpacked/localization/scn/MathML.js
+++ b/unpacked/localization/scn/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/scn/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("scn","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "mglyph sbagghiatu: %1",
diff --git a/unpacked/localization/scn/MathMenu.js b/unpacked/localization/scn/MathMenu.js
index 33341fab1d..c50dea5604 100644
--- a/unpacked/localization/scn/MathMenu.js
+++ b/unpacked/localization/scn/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/scn/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("scn","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Ammustra la f\u00F2rmula sutta forma di",
diff --git a/unpacked/localization/scn/TeX.js b/unpacked/localization/scn/TeX.js
index 12f45ea4e0..5f2f3e5e62 100644
--- a/unpacked/localization/scn/TeX.js
+++ b/unpacked/localization/scn/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/scn/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("scn","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Par\u00E8ntisi graffa graputa suverchia o par\u00E8ntisi graffa chiusa ammancanti",
diff --git a/unpacked/localization/scn/scn.js b/unpacked/localization/scn/scn.js
index 203e9337de..6297143e6e 100644
--- a/unpacked/localization/scn/scn.js
+++ b/unpacked/localization/scn/scn.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/scn/scn.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("scn",null,{
   menuTitle: "sicilianu",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "Erruri nt\u00E2 labburazzioni d\u00EE f\u00F2rmuli matim\u00E0tichi",
diff --git a/unpacked/localization/sco/FontWarnings.js b/unpacked/localization/sco/FontWarnings.js
index 956a23b60a..8f386e9100 100644
--- a/unpacked/localization/sco/FontWarnings.js
+++ b/unpacked/localization/sco/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sco/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sco","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax is uisin wab-based fonts tae displey the mathematics oan this page.  Thir tak time tae doonlaid, sae the page wid render faster gif ye installed maths fonts directlie in yer system's font fauder.",
diff --git a/unpacked/localization/sco/HTML-CSS.js b/unpacked/localization/sco/HTML-CSS.js
index 6ee1e99054..2a808c2e04 100644
--- a/unpacked/localization/sco/HTML-CSS.js
+++ b/unpacked/localization/sco/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sco/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sco","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Laidin wab font %1",
diff --git a/unpacked/localization/sco/HelpDialog.js b/unpacked/localization/sco/HelpDialog.js
index 5e82955de4..5179294efb 100644
--- a/unpacked/localization/sco/HelpDialog.js
+++ b/unpacked/localization/sco/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sco/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sco","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "MathJax Heelp",
diff --git a/unpacked/localization/sco/MathML.js b/unpacked/localization/sco/MathML.js
index b7ce432258..124e565d67 100644
--- a/unpacked/localization/sco/MathML.js
+++ b/unpacked/localization/sco/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sco/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sco","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "Bad mglyph: %1",
diff --git a/unpacked/localization/sco/MathMenu.js b/unpacked/localization/sco/MathMenu.js
index 15a6b4d858..d0fc78c0a1 100644
--- a/unpacked/localization/sco/MathMenu.js
+++ b/unpacked/localization/sco/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sco/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sco","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Shaw maths aes",
diff --git a/unpacked/localization/sco/TeX.js b/unpacked/localization/sco/TeX.js
index 29aeec4acd..8bbdd63764 100644
--- a/unpacked/localization/sco/TeX.js
+++ b/unpacked/localization/sco/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sco/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sco","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Eixtra apen brace or missin claise bracket",
diff --git a/unpacked/localization/sco/sco.js b/unpacked/localization/sco/sco.js
index 45e24b4623..7644bd7036 100644
--- a/unpacked/localization/sco/sco.js
+++ b/unpacked/localization/sco/sco.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sco/sco.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("sco",null,{
   menuTitle: "scots",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "Maths processin mistak",
diff --git a/unpacked/localization/sk/FontWarnings.js b/unpacked/localization/sk/FontWarnings.js
index 7e5b89f8ed..acef6beecf 100644
--- a/unpacked/localization/sk/FontWarnings.js
+++ b/unpacked/localization/sk/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sk/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sk","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax pou\u017E\u00EDva k zobrazeniu matematiky na tejto str\u00E1nke webov\u00E9 p\u00EDsma. T\u00FDm trv\u00E1 stiahnutie nejak\u00FA dobu, tak\u017Ee str\u00E1nka by sa vykreslila r\u00FDchlej\u0161ie, ak by ste si tieto matematick\u00E9 p\u00EDsma nain\u0161talovali priamo do syst\u00E9movej zlo\u017Eky p\u00EDsiem.",
diff --git a/unpacked/localization/sk/HTML-CSS.js b/unpacked/localization/sk/HTML-CSS.js
index 9c9c09229c..6c6914a48d 100644
--- a/unpacked/localization/sk/HTML-CSS.js
+++ b/unpacked/localization/sk/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sk/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sk","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Na\u010D\u00EDtava sa webov\u00FD font %1",
diff --git a/unpacked/localization/sk/HelpDialog.js b/unpacked/localization/sk/HelpDialog.js
index 7020daf7c8..6f315937a0 100644
--- a/unpacked/localization/sk/HelpDialog.js
+++ b/unpacked/localization/sk/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sk/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sk","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Pomoc k MathJaxu",
diff --git a/unpacked/localization/sk/MathML.js b/unpacked/localization/sk/MathML.js
index b1176a88f6..ab1570c85d 100644
--- a/unpacked/localization/sk/MathML.js
+++ b/unpacked/localization/sk/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sk/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sk","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "Chybn\u00FD mglyph: %1",
diff --git a/unpacked/localization/sk/MathMenu.js b/unpacked/localization/sk/MathMenu.js
index cec5e14453..32664cb6c5 100644
--- a/unpacked/localization/sk/MathMenu.js
+++ b/unpacked/localization/sk/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sk/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sk","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Zobrazi\u0165 matematiku ako",
diff --git a/unpacked/localization/sk/TeX.js b/unpacked/localization/sk/TeX.js
index 65f63e20b1..af453b1e7b 100644
--- a/unpacked/localization/sk/TeX.js
+++ b/unpacked/localization/sk/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sk/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sk","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Prebyto\u010Dn\u00E1 otv\u00E1raj\u00FAca alebo uzavieracia z\u00E1tvorka",
diff --git a/unpacked/localization/sk/sk.js b/unpacked/localization/sk/sk.js
index df92e93372..6e4289ef25 100644
--- a/unpacked/localization/sk/sk.js
+++ b/unpacked/localization/sk/sk.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sk/sk.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("sk",null,{
   menuTitle: "sloven\u010Dina",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "Chyba spracovania matematiky",
diff --git a/unpacked/localization/sl/FontWarnings.js b/unpacked/localization/sl/FontWarnings.js
index 9f531882af..aba7b35d91 100644
--- a/unpacked/localization/sl/FontWarnings.js
+++ b/unpacked/localization/sl/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sl/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sl","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax za prikaza matematike na tej strani uporablja spletne pisave. Da se te nalo\u017Eijo, vzame nekaj \u010Dasa. Stran bi se hitreje izrisovala, \u010De bi bile matemati\u010Dne pisave name\u0161\u010Dene neposredno v mapi s pisavami va\u0161ega sistema.",
diff --git a/unpacked/localization/sl/HTML-CSS.js b/unpacked/localization/sl/HTML-CSS.js
index f9db90f87e..c42e2ca70a 100644
--- a/unpacked/localization/sl/HTML-CSS.js
+++ b/unpacked/localization/sl/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sl/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sl","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "Nalagam spletni font %1",
diff --git a/unpacked/localization/sl/HelpDialog.js b/unpacked/localization/sl/HelpDialog.js
index 7e02048bb2..847081e6a5 100644
--- a/unpacked/localization/sl/HelpDialog.js
+++ b/unpacked/localization/sl/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sl/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sl","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Pomo\u010D za MathJax",
diff --git a/unpacked/localization/sl/MathML.js b/unpacked/localization/sl/MathML.js
index 241d7c73c3..1299636583 100644
--- a/unpacked/localization/sl/MathML.js
+++ b/unpacked/localization/sl/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sl/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sl","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "Neveljaven mglyph: %1",
diff --git a/unpacked/localization/sl/MathMenu.js b/unpacked/localization/sl/MathMenu.js
index 379741310d..110148f3dd 100644
--- a/unpacked/localization/sl/MathMenu.js
+++ b/unpacked/localization/sl/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sl/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sl","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Prika\u017Ei matematiko kot",
diff --git a/unpacked/localization/sl/TeX.js b/unpacked/localization/sl/TeX.js
index 93d3bdf915..a704be4d59 100644
--- a/unpacked/localization/sl/TeX.js
+++ b/unpacked/localization/sl/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sl/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sl","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Dodaten uklepaj ali manjkajo\u010D zaklepaj",
diff --git a/unpacked/localization/sl/sl.js b/unpacked/localization/sl/sl.js
index 8e97fa9401..29e563a870 100644
--- a/unpacked/localization/sl/sl.js
+++ b/unpacked/localization/sl/sl.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sl/sl.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("sl",null,{
   menuTitle: "sloven\u0161\u010Dina",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax je na\u0161el pi\u0161kotek za uporabni\u0161ko konfiguracijo, ki vklju\u010Duje kodo za zagon. Ali jo \u017Eelite zagnati?\n\n(Pritisnite Prekli\u010Di, razen \u010De ste pi\u0161kotek sami nastavili.)",
diff --git a/unpacked/localization/sv/FontWarnings.js b/unpacked/localization/sv/FontWarnings.js
index 532471f8ee..602b69f58f 100644
--- a/unpacked/localization/sv/FontWarnings.js
+++ b/unpacked/localization/sv/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sv/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sv","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax anv\u00E4nder webb-baserade teckensnitt f\u00F6r att visa matematik p\u00E5 denna sida.  Dessa tar tid att ladda ner, sidan skulle g\u00F6ra snabbare om du installerar matematik-typsnitt direkt i systemets teckensnittsmapp.",
diff --git a/unpacked/localization/sv/HTML-CSS.js b/unpacked/localization/sv/HTML-CSS.js
index ffac731fdd..75576da97c 100644
--- a/unpacked/localization/sv/HTML-CSS.js
+++ b/unpacked/localization/sv/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sv/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sv","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "L\u00E4ser in webbtypsnittet %1",
diff --git a/unpacked/localization/sv/HelpDialog.js b/unpacked/localization/sv/HelpDialog.js
index a7c154dd7a..58734c77d5 100644
--- a/unpacked/localization/sv/HelpDialog.js
+++ b/unpacked/localization/sv/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sv/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sv","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "MathJax-hj\u00E4lp",
diff --git a/unpacked/localization/sv/MathML.js b/unpacked/localization/sv/MathML.js
index 27b5b5a11d..3761696ffb 100644
--- a/unpacked/localization/sv/MathML.js
+++ b/unpacked/localization/sv/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sv/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sv","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "D\u00E5lig mglyph: %1",
diff --git a/unpacked/localization/sv/MathMenu.js b/unpacked/localization/sv/MathMenu.js
index 83a8be36bc..f342032cbd 100644
--- a/unpacked/localization/sv/MathMenu.js
+++ b/unpacked/localization/sv/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sv/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sv","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathMLcode: "MathML-kod",
diff --git a/unpacked/localization/sv/TeX.js b/unpacked/localization/sv/TeX.js
index a670bac071..abfa0d85b6 100644
--- a/unpacked/localization/sv/TeX.js
+++ b/unpacked/localization/sv/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sv/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("sv","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "Extra v\u00E4nsterklammerparentes eller h\u00F6gerklammerparentes saknas",
diff --git a/unpacked/localization/sv/sv.js b/unpacked/localization/sv/sv.js
index c25bd21cf6..8a6c56ea48 100644
--- a/unpacked/localization/sv/sv.js
+++ b/unpacked/localization/sv/sv.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/sv/sv.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("sv",null,{
   menuTitle: "svenska",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax har hittat en anv\u00E4ndarkonfigurations-cookie som inneh\u00E5ller kod som kan k\u00F6ras. Vill du k\u00F6ra den?\n\n(Du b\u00F6r trycka p\u00E5 Avbryt om du inte sj\u00E4lv har lagt upp denna cookie.)",
diff --git a/unpacked/localization/th/FontWarnings.js b/unpacked/localization/th/FontWarnings.js
index 439215f9c1..23b96d40f5 100644
--- a/unpacked/localization/th/FontWarnings.js
+++ b/unpacked/localization/th/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/th/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("th","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax \u0E43\u0E0A\u0E49\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E17\u0E35\u0E48\u0E2D\u0E22\u0E39\u0E48\u0E1A\u0E19\u0E40\u0E27\u0E47\u0E1A\u0E40\u0E1E\u0E37\u0E48\u0E2D\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49 \u0E0B\u0E36\u0E48\u0E07\u0E08\u0E30\u0E15\u0E49\u0E2D\u0E07\u0E43\u0E0A\u0E49\u0E40\u0E27\u0E25\u0E32\u0E1A\u0E49\u0E32\u0E07\u0E43\u0E19\u0E01\u0E32\u0E23\u0E14\u0E32\u0E27\u0E19\u0E4C\u0E42\u0E2B\u0E25\u0E14 \u0E2B\u0E32\u0E01\u0E17\u0E48\u0E32\u0E19\u0E15\u0E49\u0E2D\u0E07\u0E01\u0E32\u0E23\u0E42\u0E2B\u0E25\u0E14\u0E2B\u0E19\u0E49\u0E32\u0E19\u0E35\u0E49\u0E43\u0E2B\u0E49\u0E40\u0E23\u0E47\u0E27 \u0E04\u0E27\u0E23\u0E15\u0E34\u0E14\u0E15\u0E31\u0E49\u0E07\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E30\u0E1A\u0E1A\u0E02\u0E2D\u0E07\u0E17\u0E48\u0E32\u0E19",
diff --git a/unpacked/localization/th/HTML-CSS.js b/unpacked/localization/th/HTML-CSS.js
index fdb763bd8a..7ee946f909 100644
--- a/unpacked/localization/th/HTML-CSS.js
+++ b/unpacked/localization/th/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/th/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("th","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u0E01\u0E33\u0E25\u0E31\u0E07\u0E42\u0E2B\u0E25\u0E14\u0E41\u0E1A\u0E1A\u0E2D\u0E31\u0E01\u0E29\u0E23\u0E40\u0E27\u0E47\u0E1A %1",
diff --git a/unpacked/localization/th/HelpDialog.js b/unpacked/localization/th/HelpDialog.js
index e7117496df..6b5e82650c 100644
--- a/unpacked/localization/th/HelpDialog.js
+++ b/unpacked/localization/th/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/th/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("th","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "\u0E04\u0E27\u0E32\u0E21\u0E0A\u0E48\u0E27\u0E22\u0E40\u0E2B\u0E25\u0E37\u0E2D\u0E41\u0E25\u0E30\u0E27\u0E34\u0E18\u0E35\u0E43\u0E0A\u0E49\u0E07\u0E32\u0E19 MathJax",
diff --git a/unpacked/localization/th/MathML.js b/unpacked/localization/th/MathML.js
index d191f04cea..8e25c21649 100644
--- a/unpacked/localization/th/MathML.js
+++ b/unpacked/localization/th/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/th/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("th","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "mglyph \u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14: %1",
diff --git a/unpacked/localization/th/MathMenu.js b/unpacked/localization/th/MathMenu.js
index bd699c955d..f43712d5e3 100644
--- a/unpacked/localization/th/MathMenu.js
+++ b/unpacked/localization/th/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/th/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("th","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u0E41\u0E2A\u0E14\u0E07\u0E2A\u0E21\u0E01\u0E32\u0E23\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E43\u0E19\u0E23\u0E39\u0E1B",
diff --git a/unpacked/localization/th/TeX.js b/unpacked/localization/th/TeX.js
index 498042e005..310f0fe483 100644
--- a/unpacked/localization/th/TeX.js
+++ b/unpacked/localization/th/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/th/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("th","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u0E21\u0E35\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E40\u0E1B\u0E34\u0E14\u0E40\u0E01\u0E34\u0E19\u0E21\u0E32\u0E2B\u0E23\u0E37\u0E2D\u0E02\u0E32\u0E14\u0E27\u0E07\u0E40\u0E25\u0E47\u0E1A\u0E1B\u0E34\u0E14",
diff --git a/unpacked/localization/th/th.js b/unpacked/localization/th/th.js
index e3a456566e..51cd7018db 100644
--- a/unpacked/localization/th/th.js
+++ b/unpacked/localization/th/th.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/th/th.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("th",null,{
   menuTitle: "\u0E44\u0E17\u0E22",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "\u0E01\u0E32\u0E23\u0E1B\u0E23\u0E30\u0E21\u0E27\u0E25\u0E1C\u0E25\u0E04\u0E13\u0E34\u0E15\u0E28\u0E32\u0E2A\u0E15\u0E23\u0E4C\u0E1C\u0E34\u0E14\u0E1E\u0E25\u0E32\u0E14",
diff --git a/unpacked/localization/tr/FontWarnings.js b/unpacked/localization/tr/FontWarnings.js
index 1efdc6e196..0ea0cb2ce8 100644
--- a/unpacked/localization/tr/FontWarnings.js
+++ b/unpacked/localization/tr/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/tr/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("tr","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/tr/HTML-CSS.js b/unpacked/localization/tr/HTML-CSS.js
index 3ead8e05fa..2da361e6cd 100644
--- a/unpacked/localization/tr/HTML-CSS.js
+++ b/unpacked/localization/tr/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/tr/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("tr","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/tr/HelpDialog.js b/unpacked/localization/tr/HelpDialog.js
index 49e93979f1..36ff5e3ffb 100644
--- a/unpacked/localization/tr/HelpDialog.js
+++ b/unpacked/localization/tr/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/tr/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("tr","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/tr/MathML.js b/unpacked/localization/tr/MathML.js
index f2d895f1ee..cb542f1630 100644
--- a/unpacked/localization/tr/MathML.js
+++ b/unpacked/localization/tr/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/tr/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("tr","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/tr/MathMenu.js b/unpacked/localization/tr/MathMenu.js
index 0fbf746c7c..4faf8bd244 100644
--- a/unpacked/localization/tr/MathMenu.js
+++ b/unpacked/localization/tr/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/tr/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("tr","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/tr/TeX.js b/unpacked/localization/tr/TeX.js
index 4fea385eb4..a7ce61c35b 100644
--- a/unpacked/localization/tr/TeX.js
+++ b/unpacked/localization/tr/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/tr/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("tr","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
 
diff --git a/unpacked/localization/tr/tr.js b/unpacked/localization/tr/tr.js
index 1907a41dfc..65cc0babad 100644
--- a/unpacked/localization/tr/tr.js
+++ b/unpacked/localization/tr/tr.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/tr/tr.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("tr",null,{
   menuTitle: "T\u00FCrk\u00E7e",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "Matematik i\u015Fleme hatas\u0131",
diff --git a/unpacked/localization/uk/FontWarnings.js b/unpacked/localization/uk/FontWarnings.js
index a508775679..9d2276da0d 100644
--- a/unpacked/localization/uk/FontWarnings.js
+++ b/unpacked/localization/uk/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/uk/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("uk","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u0432\u0435\u0431-\u0448\u0440\u0438\u0444\u0442\u0438 \u0434\u043B\u044F \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438 \u043D\u0430 \u0446\u0456\u0439 \u0441\u0442\u043E\u0440\u0456\u043D\u0446\u0456.  \u041F\u043E\u0442\u0440\u0456\u0431\u0435\u043D \u0447\u0430\u0441, \u0449\u043E\u0431 \u0437\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0438\u0442\u0438, \u0431\u043E \u0441\u0442\u043E\u0440\u0456\u043D\u043A\u0430 \u0431 \u0432\u0456\u0437\u0443\u0430\u043B\u0456\u0437\u0443\u0432\u0430\u043B\u0430\u0441\u044F \u0448\u0432\u0438\u0434\u0448\u0435, \u044F\u043A\u0431\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u043D\u0456 \u0448\u0440\u0438\u0444\u0442\u0438 \u0432\u0441\u0442\u0430\u043D\u043E\u0432\u043B\u0435\u043D\u0456 \u0431\u0435\u0437\u043F\u043E\u0441\u0435\u0440\u0435\u0434\u043D\u044C\u043E \u0432 \u0442\u0435\u0446\u0456 \u0432\u0430\u0448\u043E\u0433\u043E \u0441\u0438\u0441\u0442\u0435\u043C\u043D\u043E\u0433\u043E \u0448\u0440\u0438\u0444\u0442\u0443.",
diff --git a/unpacked/localization/uk/HTML-CSS.js b/unpacked/localization/uk/HTML-CSS.js
index 767b8469eb..8255c6fd6e 100644
--- a/unpacked/localization/uk/HTML-CSS.js
+++ b/unpacked/localization/uk/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/uk/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("uk","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u0417\u0430\u0432\u0430\u043D\u0442\u0430\u0436\u0435\u043D\u043D\u044F \u0432\u0435\u0431 \u0448\u0440\u0438\u0444\u0442\u0456\u0432 %1",
diff --git a/unpacked/localization/uk/HelpDialog.js b/unpacked/localization/uk/HelpDialog.js
index c50ef3098f..91a24fc8de 100644
--- a/unpacked/localization/uk/HelpDialog.js
+++ b/unpacked/localization/uk/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/uk/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("uk","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "MathJax \u0434\u043E\u043F\u043E\u043C\u043E\u0433\u0430",
diff --git a/unpacked/localization/uk/MathML.js b/unpacked/localization/uk/MathML.js
index 88f458e883..ea10d6bb83 100644
--- a/unpacked/localization/uk/MathML.js
+++ b/unpacked/localization/uk/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/uk/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("uk","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "\u041D\u0435\u043F\u0440\u0430\u0432\u0438\u043B\u044C\u043D\u0438\u0439 mglyph: %1",
diff --git a/unpacked/localization/uk/MathMenu.js b/unpacked/localization/uk/MathMenu.js
index ac98235e7f..934c2adc86 100644
--- a/unpacked/localization/uk/MathMenu.js
+++ b/unpacked/localization/uk/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/uk/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("uk","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u041F\u043E\u043A\u0430\u0437\u0443\u0432\u0430\u0442\u0438 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0443 \u044F\u043A",
diff --git a/unpacked/localization/uk/TeX.js b/unpacked/localization/uk/TeX.js
index 08a12089e0..cd9375600a 100644
--- a/unpacked/localization/uk/TeX.js
+++ b/unpacked/localization/uk/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/uk/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("uk","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u0417\u0430\u0439\u0432\u0430 \u0432\u0456\u0434\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430 \u0430\u0431\u043E \u0432\u0456\u0434\u0441\u0443\u0442\u043D\u044F \u0437\u0430\u043A\u0440\u0438\u0442\u0430 \u0444\u0456\u0433\u0443\u0440\u043D\u0430 \u0434\u0443\u0436\u043A\u0430",
diff --git a/unpacked/localization/uk/uk.js b/unpacked/localization/uk/uk.js
index 0c7464ca73..097eeae9b2 100644
--- a/unpacked/localization/uk/uk.js
+++ b/unpacked/localization/uk/uk.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/uk/uk.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("uk",null,{
   menuTitle: "\u0443\u043A\u0440\u0430\u0457\u043D\u0441\u044C\u043A\u0430",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax \u0437\u043D\u0430\u0439\u0448\u043B\u0430 \u043A\u0443\u043A\u0438 \u043A\u043E\u043D\u0444\u0456\u0433\u0443\u0440\u0430\u0446\u0456\u0457 \u043A\u043E\u0440\u0438\u0441\u0442\u0443\u0432\u0430\u0447\u0430, \u0449\u043E \u043C\u0456\u0441\u0442\u0438\u0442\u044C \u043A\u043E\u0434 \u0434\u043B\u044F \u0437\u0430\u043F\u0443\u0441\u043A\u0443. \u0412\u0438 \u0445\u043E\u0447\u0435\u0442\u0435 \u0437\u0430\u043F\u0443\u0441\u0442\u0438\u0442\u0438 \u0439\u043E\u0433\u043E?\n\n\n(\u0412\u0438 \u043F\u043E\u0432\u0438\u043D\u043D\u0456 \u043D\u0430\u0442\u0438\u0441\u043D\u0443\u0442\u0438 \"\u0421\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438\", \u0430\u0431\u0438 \u0441\u043A\u0430\u0441\u0443\u0432\u0430\u0442\u0438 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432\u0430\u043D\u043D\u044F \u043A\u0443\u043A \u0443 \u043D\u0430\u043B\u0430\u0448\u0442\u0443\u0432 \u043D\u0430\u0441\u0442\u0440\u043E\u044E\u0432\u0430\u043D\u043D\u044F cookie \u0441\u0435\u0431\u0435.)",
diff --git a/unpacked/localization/vi/FontWarnings.js b/unpacked/localization/vi/FontWarnings.js
index 29ab532a3f..b391d2cfbc 100644
--- a/unpacked/localization/vi/FontWarnings.js
+++ b/unpacked/localization/vi/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/vi/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("vi","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax s\u1EED d\u1EE5ng c\u00E1c ph\u00F4ng ch\u1EEF tr\u00EAn Web \u0111\u1EC3 v\u1EBD k\u00FD hi\u1EC7u to\u00E1n h\u1ECDc tr\u00EAn trang n\u00E0y. Tr\u00ECnh duy\u1EC7t ph\u1EA3i t\u1EF1 \u0111\u1ED9ng t\u1EA3i v\u1EC1 c\u00E1c ph\u00F4ng ch\u1EEF n\u00E0y; \u0111\u1EC3 l\u00E0m cho trang hi\u1EC3n th\u1ECB nhanh h\u01A1n, b\u1EA1n c\u00F3 th\u1EC3 c\u00E0i \u0111\u1EB7t c\u00E1c ph\u00F4ng ch\u1EEF to\u00E1n h\u1ECDc tr\u1EF1c ti\u1EBFp v\u00E0o th\u01B0 m\u1EE5c ph\u00F4ng ch\u1EEF c\u1EE7a m\u00E1y.",
diff --git a/unpacked/localization/vi/HTML-CSS.js b/unpacked/localization/vi/HTML-CSS.js
index 625f2b3fc9..253d4709f3 100644
--- a/unpacked/localization/vi/HTML-CSS.js
+++ b/unpacked/localization/vi/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/vi/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("vi","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u0110ang t\u1EA3i ph\u00F4ng ch\u1EEF Web %1",
diff --git a/unpacked/localization/vi/HelpDialog.js b/unpacked/localization/vi/HelpDialog.js
index 51dc25e230..c56d3ca6f1 100644
--- a/unpacked/localization/vi/HelpDialog.js
+++ b/unpacked/localization/vi/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/vi/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("vi","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "Tr\u1EE3 gi\u00FAp MathJax",
diff --git a/unpacked/localization/vi/MathML.js b/unpacked/localization/vi/MathML.js
index abf4ad8081..3d0278b474 100644
--- a/unpacked/localization/vi/MathML.js
+++ b/unpacked/localization/vi/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/vi/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("vi","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "mglyph h\u1ECFng: %1",
diff --git a/unpacked/localization/vi/MathMenu.js b/unpacked/localization/vi/MathMenu.js
index 44b202f702..c53641ae4f 100644
--- a/unpacked/localization/vi/MathMenu.js
+++ b/unpacked/localization/vi/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/vi/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("vi","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "Xem To\u00E1n D\u01B0\u1EDBi d\u1EA1ng",
diff --git a/unpacked/localization/vi/TeX.js b/unpacked/localization/vi/TeX.js
index 8d3f1760d8..a47c64dba3 100644
--- a/unpacked/localization/vi/TeX.js
+++ b/unpacked/localization/vi/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/vi/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("vi","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "D\u1EA5u ngo\u1EB7c m\u1EDF c\u00F2n d\u01B0 ho\u1EB7c d\u1EA5u ngo\u1EB7c \u0111\u00F3ng b\u1ECB thi\u1EBFu",
diff --git a/unpacked/localization/vi/vi.js b/unpacked/localization/vi/vi.js
index c9f1beb3e6..31881758af 100644
--- a/unpacked/localization/vi/vi.js
+++ b/unpacked/localization/vi/vi.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/vi/vi.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("vi",null,{
   menuTitle: "Ti\u1EBFng Vi\u1EC7t",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax \u0111\u00E3 t\u00ECm th\u1EA5y m\u1ED9t cookie thi\u1EBFt l\u1EADp c\u1EE7a ng\u01B0\u1EDDi d\u00F9ng c\u00F3 m\u00E3 ngu\u1ED3n \u0111\u1EC3 ch\u1EA1y. B\u1EA1n c\u00F3 mu\u1ED1n ch\u1EA1y n\u00F3?\n\n(Khuy\u00EAn b\u1EA1n b\u1EA5m H\u1EE7y b\u1ECF tr\u1EEB khi b\u1EA1n l\u00E0 ng\u01B0\u1EDDi thi\u1EBFt l\u1EADp cookie.)",
diff --git a/unpacked/localization/zh-hans/FontWarnings.js b/unpacked/localization/zh-hans/FontWarnings.js
index 15d1f5d860..5848b027b0 100644
--- a/unpacked/localization/zh-hans/FontWarnings.js
+++ b/unpacked/localization/zh-hans/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hans/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("zh-hans","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax\u4F7F\u7528\u57FA\u4E8EWeb\u7684\u5B57\u4F53\u6765\u663E\u793A\u6B64\u9875\u4E0A\u663E\u793A\u6570\u5B66\u76F8\u5173\u5185\u5BB9\u3002\u8FD9\u5C06\u82B1\u8D39\u8F83\u957F\u65F6\u95F4\u4E0B\u8F7D\uFF0C\u6240\u4EE5\u6211\u4EEC\u5F3A\u70C8\u5EFA\u8BAE\u60A8\u76F4\u63A5\u5728\u60A8\u7684\u64CD\u4F5C\u7CFB\u7EDF\u7684\u5B57\u4F53\u6587\u4EF6\u5939\u4E2D\u5B89\u88C5\u6570\u5B66\u7B26\u53F7\u5B57\u4F53\u4EE5\u4FBF\u7ACB\u523B\u663E\u793A\u3002",
diff --git a/unpacked/localization/zh-hans/HTML-CSS.js b/unpacked/localization/zh-hans/HTML-CSS.js
index 89a0bc6122..58f9bd8e56 100644
--- a/unpacked/localization/zh-hans/HTML-CSS.js
+++ b/unpacked/localization/zh-hans/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hans/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("zh-hans","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u52A0\u8F7Dweb\u5B57\u4F53%1",
diff --git a/unpacked/localization/zh-hans/HelpDialog.js b/unpacked/localization/zh-hans/HelpDialog.js
index ca0bd56693..c20a442494 100644
--- a/unpacked/localization/zh-hans/HelpDialog.js
+++ b/unpacked/localization/zh-hans/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hans/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("zh-hans","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "MathJax\u5E2E\u52A9",
diff --git a/unpacked/localization/zh-hans/MathML.js b/unpacked/localization/zh-hans/MathML.js
index b27aa34d7a..720fe838ec 100644
--- a/unpacked/localization/zh-hans/MathML.js
+++ b/unpacked/localization/zh-hans/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hans/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("zh-hans","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "\u9519\u8BEF\u7684\u79FB\u52A8\u5B57\u5F62\uFF1A%1",
diff --git a/unpacked/localization/zh-hans/MathMenu.js b/unpacked/localization/zh-hans/MathMenu.js
index 1c36f88303..39b8b76db0 100644
--- a/unpacked/localization/zh-hans/MathMenu.js
+++ b/unpacked/localization/zh-hans/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hans/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("zh-hans","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u6570\u5F0F\u663E\u793A\u5F62\u5F0F",
diff --git a/unpacked/localization/zh-hans/TeX.js b/unpacked/localization/zh-hans/TeX.js
index c6b1530bb5..775cf74876 100644
--- a/unpacked/localization/zh-hans/TeX.js
+++ b/unpacked/localization/zh-hans/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hans/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("zh-hans","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u6709\u591A\u4F59\u7684\u5DE6\u62EC\u53F7\u6216\u7F3A\u5C11\u53F3\u62EC\u53F7",
diff --git a/unpacked/localization/zh-hans/zh-hans.js b/unpacked/localization/zh-hans/zh-hans.js
index b252e09c1c..fd8da4bb02 100644
--- a/unpacked/localization/zh-hans/zh-hans.js
+++ b/unpacked/localization/zh-hans/zh-hans.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hans/zh-hans.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("zh-hans",null,{
   menuTitle: "\u4E2D\u6587\uFF08\u7B80\u4F53\uFF09",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           CookieConfig: "MathJax\u5DF2\u627E\u5230\u7528\u6237\u914D\u7F6E\uFF0C\u5176\u4E2D\u5305\u542B\u8981\u8FD0\u884C\u4EE3\u7801\u6240\u4F9D\u8D56\u7684cookie\u3002\u60A8\u60F3\u8FD0\u884C\u5B83\u4E48\uFF1F\n\n\uFF08\u60A8\u5E94\u8BE5\u81EA\u884C\u6309\u53D6\u6D88\u9664\u975E\u60A8\u8BBE\u7F6E\u4E86\u81EA\u5DF1\u7684cookie\u3002\uFF09",
diff --git a/unpacked/localization/zh-hant/FontWarnings.js b/unpacked/localization/zh-hant/FontWarnings.js
index 1bc1bb129c..0e1e8420d5 100644
--- a/unpacked/localization/zh-hant/FontWarnings.js
+++ b/unpacked/localization/zh-hant/FontWarnings.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hant/FontWarnings.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("zh-hant","FontWarnings",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           webFont: "MathJax\u662F\u4F7F\u7528\u57FA\u65BC\u7DB2\u9801\u7684\u5B57\u578B\u4F86\u986F\u793A\u9801\u9762\u4E0A\u7684\u6578\u5B78\u76F8\u95DC\u5167\u5BB9\u3002\u56E0\u6B64\u6703\u82B1\u8CBB\u4E00\u4E9B\u6642\u9593\u4E0B\u8F09\u5B57\u578B\uFF0C\u82E5\u60F3\u8B93\u9801\u9762\u80FD\u8F03\u5FEB\u5448\u73FE\u51FA\u5167\u5BB9\uFF0C\u60A8\u53EF\u4EE5\u5C07\u6240\u4F7F\u7528\u5230\u7684\u6578\u5B78\u5B57\u578B\u4E0B\u8F09\u5B89\u88DD\u5230\u60A8\u96FB\u8166\u672C\u6A5F\u88E1\u7684\u7CFB\u7D71\u5B57\u578B\u8CC7\u6599\u593E\u3002",
diff --git a/unpacked/localization/zh-hant/HTML-CSS.js b/unpacked/localization/zh-hant/HTML-CSS.js
index 21fa7744b7..7b11ad8938 100644
--- a/unpacked/localization/zh-hant/HTML-CSS.js
+++ b/unpacked/localization/zh-hant/HTML-CSS.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hant/HTML-CSS.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("zh-hant","HTML-CSS",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           LoadWebFont: "\u7DB2\u9801\u5B57\u578B%1\u8F09\u5165\u4E2D",
diff --git a/unpacked/localization/zh-hant/HelpDialog.js b/unpacked/localization/zh-hant/HelpDialog.js
index 023c19f17a..7f124593eb 100644
--- a/unpacked/localization/zh-hant/HelpDialog.js
+++ b/unpacked/localization/zh-hant/HelpDialog.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hant/HelpDialog.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("zh-hant","HelpDialog",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Help: "MathJax \u8AAA\u660E",
diff --git a/unpacked/localization/zh-hant/MathML.js b/unpacked/localization/zh-hant/MathML.js
index 813659cd86..ac02a166f2 100644
--- a/unpacked/localization/zh-hant/MathML.js
+++ b/unpacked/localization/zh-hant/MathML.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hant/MathML.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("zh-hant","MathML",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           BadMglyph: "\u4E0D\u6B63\u78BA\u7684mglyph\uFF1A%1",
diff --git a/unpacked/localization/zh-hant/MathMenu.js b/unpacked/localization/zh-hant/MathMenu.js
index ca201a1c8e..b15b7c0cf3 100644
--- a/unpacked/localization/zh-hant/MathMenu.js
+++ b/unpacked/localization/zh-hant/MathMenu.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hant/MathMenu.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("zh-hant","MathMenu",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           Show: "\u986F\u793A\u6578\u5B78\u5F62\u5F0F",
diff --git a/unpacked/localization/zh-hant/TeX.js b/unpacked/localization/zh-hant/TeX.js
index 4c95583f60..28f6f86506 100644
--- a/unpacked/localization/zh-hant/TeX.js
+++ b/unpacked/localization/zh-hant/TeX.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hant/TeX.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -18,7 +18,7 @@
  *
  */
 MathJax.Localization.addTranslation("zh-hant","TeX",{
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           ExtraOpenMissingClose: "\u591A\u9918\u7684\u5DE6\u62EC\u5F27\u6216\u7F3A\u5C11\u53F3\u62EC\u5F27",
diff --git a/unpacked/localization/zh-hant/zh-hant.js b/unpacked/localization/zh-hant/zh-hant.js
index 5dc1e6af01..689f4cc063 100644
--- a/unpacked/localization/zh-hant/zh-hant.js
+++ b/unpacked/localization/zh-hant/zh-hant.js
@@ -2,7 +2,7 @@
  *
  *  MathJax/localization/zh-hant/zh-hant.js
  *
- *  Copyright (c) 2009-2019 The MathJax Consortium
+ *  Copyright (c) 2009-2020 The MathJax Consortium
  *
  *  Licensed under the Apache License, Version 2.0 (the "License");
  *  you may not use this file except in compliance with the License.
@@ -19,11 +19,11 @@
  */
 MathJax.Localization.addTranslation("zh-hant",null,{
   menuTitle: "\u6C49\u8BED",
-  version: "2.7.6",
+  version: "2.7.9",
   isLoaded: true,
   domains: {
     "_": {
-        version: "2.7.6",
+        version: "2.7.9",
         isLoaded: true,
         strings: {
           MathProcessingError: "\u6578\u5B78\u8655\u7406\u932F\u8AA4",